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quiz
stringlengths 280
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| names
sequencelengths 2
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| knight_knave
dict | solution
sequencelengths 2
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| solution_text
stringlengths 37
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stringlengths 39
49
| cot_head
stringclasses 1
value | cot_repeat_steps
sequencelengths 2
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stringclasses 1
value | statements
stringlengths 58
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|---|---|---|---|---|---|---|---|---|---|---|
A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 2 inhabitants: Zoey, and Oliver. Zoey remarked, "Oliver is not a knight". Oliver stated, "Oliver is a knight if and only if Zoey is a knave". So who is a knight and who is a knave? | [
"Zoey",
"Oliver"
] | {
"knight": "knight",
"knave": "knave",
"a_knight": "a knight",
"a_knave": "a knave",
"Knight": "Knight",
"Knave": "Knave"
} | [
false,
true
] | Zoey is a knave, and Oliver is a knight. | (1) Zoey is a knave
(2) Oliver is a knight | Let's think step by step, by considering whether each person is lying and if that leads to contradiction. | [
"Assume Zoey 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 Zoey that Oliver is not a knight.",
"Oliver cannot be a knave, because this would contradict the false claim of their own that Oliver is a knight if and only if Zoey is a knave.",
"We have exhausted all possibilities for Oliver, so let us go back and reconsider Zoey.",
"Assume Zoey 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 Oliver is a knight if and only if Zoey is a knave."
] | This leads to a feasible solution. | (('not', ('telling-truth', 1)), ('<=>', ('telling-truth', 1), ('lying', 0))) | 0 |
A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 2 inhabitants: William, and Evelyn. William stated, "If Evelyn is a knight then Evelyn is a knave". Evelyn was heard saying, "William is a knight and Evelyn is a knight". So who is a knight and who is a knave? | [
"William",
"Evelyn"
] | {
"knight": "knight",
"knave": "knave",
"a_knight": "a knight",
"a_knave": "a knave",
"Knight": "Knight",
"Knave": "Knave"
} | [
true,
false
] | William is a knight, and Evelyn is a knave. | (1) William is a knight
(2) Evelyn is a knave | Let's think step by step, by considering whether each person is lying and if that leads to contradiction. | [
"Assume William 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 William 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 William is a knight and Evelyn is a knight."
] | This leads to a feasible solution. | (('->', ('telling-truth', 1), ('lying', 1)), ('and', ('telling-truth', 0), ('telling-truth', 1))) | 1 |
A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 2 inhabitants: Sebastian, and Grace. "Sebastian is a knight or Grace is a knight," Sebastian claimed. Grace asserted: "Sebastian is a knave". So who is a knight and who is a knave? | [
"Sebastian",
"Grace"
] | {
"knight": "knight",
"knave": "knave",
"a_knight": "a knight",
"a_knave": "a knave",
"Knight": "Knight",
"Knave": "Knave"
} | [
true,
false
] | Sebastian is a knight, and Grace is a knave. | (1) Sebastian is a knight
(2) Grace is a knave | Let's think step by step, by considering whether each person is lying and if that leads to contradiction. | [
"Assume Sebastian is a knight. No contradiction is found in their claim that Sebastian is a knight or Grace is a knight.",
"Grace cannot be a knight, because this would contradict the claim of their own that Sebastian is a knave.",
"Assume Grace is a knave. No contradiction is found in their false claim that Sebastian is a knave."
] | This leads to a feasible solution. | (('or', ('telling-truth', 0), ('telling-truth', 1)), ('lying', 0)) | 2 |
A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 2 inhabitants: Zoey, and Jacob. As Zoey put it, "If Jacob is a knight then Zoey is a knight". Jacob told you that Zoey is not a knave. So who is a knight and who is a knave? | [
"Zoey",
"Jacob"
] | {
"knight": "knight",
"knave": "knave",
"a_knight": "a knight",
"a_knave": "a knave",
"Knight": "Knight",
"Knave": "Knave"
} | [
true,
true
] | Zoey is a knight, and Jacob is a knight. | (1) Zoey is a knight
(2) Jacob is a knight | Let's think step by step, by considering whether each person is lying and if that leads to contradiction. | [
"Assume Zoey is a knight. No contradiction is found in their claim that If Jacob is a knight then Zoey is a knight.",
"Assume Jacob is a knight. No contradiction is found in their claim that Zoey is not a knave."
] | This leads to a feasible solution. | (('->', ('telling-truth', 1), ('telling-truth', 0)), ('not', ('lying', 0))) | 3 |
A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 2 inhabitants: David, and Jackson. David said that If Jackson is a knight then Jackson is a knave. Jackson stated, "David is a knave or David is a knight". So who is a knight and who is a knave? | [
"David",
"Jackson"
] | {
"knight": "knight",
"knave": "knave",
"a_knight": "a knight",
"a_knave": "a knave",
"Knight": "Knight",
"Knave": "Knave"
} | [
false,
true
] | David is a knave, and Jackson is a knight. | (1) David is a knave
(2) Jackson is a knight | Let's think step by step, by considering whether each person is lying and if that leads to contradiction. | [
"Assume David is a knight. No contradiction is found in their claim that If Jackson is a knight then Jackson is a knave.",
"Jackson cannot be a knight, because this would contradict the claim of David that If Jackson is a knight then Jackson is a knave.",
"Jackson cannot be a knave, because this would contradict the false claim of their own that David is a knave or David is a knight.",
"We have exhausted all possibilities for Jackson, so let us go back and reconsider David.",
"Assume David is a knave. No contradiction is found in their false claim that If Jackson is a knight then Jackson is a knave.",
"Assume Jackson is a knight. No contradiction is found in their claim that David is a knave or David is a knight."
] | This leads to a feasible solution. | (('->', ('telling-truth', 1), ('lying', 1)), ('or', ('lying', 0), ('telling-truth', 0))) | 4 |
A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 2 inhabitants: Matthew, and Jackson. As Matthew put it, "Jackson is a knave and Jackson is a knight". "Matthew is not a knight," Jackson claimed. So who is a knight and who is a knave? | [
"Matthew",
"Jackson"
] | {
"knight": "knight",
"knave": "knave",
"a_knight": "a knight",
"a_knave": "a knave",
"Knight": "Knight",
"Knave": "Knave"
} | [
false,
true
] | Matthew is a knave, and Jackson is a knight. | (1) Matthew is a knave
(2) Jackson is a knight | Let's think step by step, by considering whether each person is lying and if that leads to contradiction. | [
"Matthew cannot be a knight, because this would contradict the claim of their own that Jackson is a knave and Jackson is a knight.",
"Assume Matthew is a knave. No contradiction is found in their false claim that Jackson is a knave and Jackson is a knight.",
"Assume Jackson is a knight. No contradiction is found in their claim that Matthew is not a knight."
] | This leads to a feasible solution. | (('and', ('lying', 1), ('telling-truth', 1)), ('not', ('telling-truth', 0))) | 5 |
A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 2 inhabitants: Olivia, and Amelia. "If Amelia is a knight then Olivia is a knight," Olivia claimed. Amelia said, "Amelia is a knight if and only if Olivia is a knave." So who is a knight and who is a knave? | [
"Olivia",
"Amelia"
] | {
"knight": "knight",
"knave": "knave",
"a_knight": "a knight",
"a_knave": "a knave",
"Knight": "Knight",
"Knave": "Knave"
} | [
false,
true
] | Olivia is a knave, and Amelia is a knight. | (1) Olivia is a knave
(2) Amelia is a knight | Let's think step by step, by considering whether each person is lying and if that leads to contradiction. | [
"Assume Olivia is a knight. No contradiction is found in their claim that If Amelia is a knight then Olivia is a knight.",
"Amelia cannot be a knight, because this would contradict the claim of their own that Amelia is a knight if and only if Olivia is a knave.",
"Amelia cannot be a knave, because this would contradict the false claim of their own that Amelia is a knight if and only if Olivia is a knave.",
"We have exhausted all possibilities for Amelia, so let us go back and reconsider Olivia.",
"Assume Olivia is a knave. No contradiction is found in their false claim that If Amelia is a knight then Olivia is a knight.",
"Assume Amelia is a knight. No contradiction is found in their claim that Amelia is a knight if and only if Olivia is a knave."
] | This leads to a feasible solution. | (('->', ('telling-truth', 1), ('telling-truth', 0)), ('<=>', ('telling-truth', 1), ('lying', 0))) | 6 |
A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 2 inhabitants: Owen, and Penelope. Owen asserted: "Penelope is a knight if and only if Penelope is a knave". Penelope noted, "Owen is not a knave". So who is a knight and who is a knave? | [
"Owen",
"Penelope"
] | {
"knight": "knight",
"knave": "knave",
"a_knight": "a knight",
"a_knave": "a knave",
"Knight": "Knight",
"Knave": "Knave"
} | [
false,
false
] | Owen is a knave, and Penelope is a knave. | (1) Owen is a knave
(2) Penelope is a knave | Let's think step by step, by considering whether each person is lying and if that leads to contradiction. | [
"Owen 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 Owen 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 Owen is not a knave.",
"Assume Penelope is a knave. No contradiction is found in their false claim that Owen is not a knave."
] | This leads to a feasible solution. | (('<=>', ('telling-truth', 1), ('lying', 1)), ('not', ('lying', 0))) | 7 |
A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 2 inhabitants: Daniel, and Mia. Daniel stated, "Mia is a knight if and only if Daniel is a knight". In Mia's words: "Mia is a knight if and only if Daniel is a knave". So who is a knight and who is a knave? | [
"Daniel",
"Mia"
] | {
"knight": "knight",
"knave": "knave",
"a_knight": "a knight",
"a_knave": "a knave",
"Knight": "Knight",
"Knave": "Knave"
} | [
false,
true
] | Daniel is a knave, and Mia is a knight. | (1) Daniel is a knave
(2) Mia is a knight | Let's think step by step, by considering whether each person is lying and if that leads to contradiction. | [
"Assume Daniel is a knight. No contradiction is found in their claim that Mia is a knight if and only if Daniel is a knight.",
"Mia cannot be a knight, because this would contradict the claim of their own that Mia is a knight if and only if Daniel is a knave.",
"Mia cannot be a knave, because this would contradict the claim of Daniel that Mia is a knight if and only if Daniel 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 if and only if Daniel is a knight.",
"Assume Mia is a knight. No contradiction is found in their claim that Mia is a knight if and only if Daniel is a knave."
] | This leads to a feasible solution. | (('<=>', ('telling-truth', 1), ('telling-truth', 0)), ('<=>', ('telling-truth', 1), ('lying', 0))) | 8 |
A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 2 inhabitants: James, and Sophia. "Sophia is not a knave" - James. Sophia stated, "James is a knight if and only if James is a knave". So who is a knight and who is a knave? | [
"James",
"Sophia"
] | {
"knight": "knight",
"knave": "knave",
"a_knight": "a knight",
"a_knave": "a knave",
"Knight": "Knight",
"Knave": "Knave"
} | [
false,
false
] | James is a knave, and Sophia is a knave. | (1) James is a knave
(2) Sophia is a knave | Let's think step by step, by considering whether each person is lying and if that leads to contradiction. | [
"Assume James is a knight. No contradiction is found in their claim that Sophia is not a knave.",
"Sophia cannot be a knight, because this would contradict the claim of their own that James is a knight if and only if James is a knave.",
"Sophia cannot be a knave, because this would contradict the claim of James that Sophia is not a knave.",
"We have exhausted all possibilities for Sophia, so let us go back and reconsider James.",
"Assume James is a knave. No contradiction is found in their false claim that Sophia is not a knave.",
"Sophia cannot be a knight, because this would contradict the false claim of James that Sophia is not a knave.",
"Assume Sophia is a knave. No contradiction is found in their false claim that James is a knight if and only if James is a knave."
] | This leads to a feasible solution. | (('not', ('lying', 1)), ('<=>', ('telling-truth', 0), ('lying', 0))) | 9 |
A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 2 inhabitants: Joseph, and Harper. Joseph was heard saying, "Joseph is a knight if and only if Harper is a knave". Harper stated, "If Joseph is a knight then Harper is a knight". So who is a knight and who is a knave? | [
"Joseph",
"Harper"
] | {
"knight": "knight",
"knave": "knave",
"a_knight": "a knight",
"a_knave": "a knave",
"Knight": "Knight",
"Knave": "Knave"
} | [
true,
false
] | Joseph is a knight, and Harper is a knave. | (1) Joseph is a knight
(2) Harper is a knave | Let's think step by step, by considering whether each person is lying and if that leads to contradiction. | [
"Assume Joseph is a knight. No contradiction is found in their claim that Joseph is a knight if and only if Harper is a knave.",
"Harper cannot be a knight, because this would contradict the claim of Joseph that Joseph is a knight if and only if Harper is a knave.",
"Assume Harper is a knave. No contradiction is found in their false claim that If Joseph is a knight then Harper is a knight."
] | This leads to a feasible solution. | (('<=>', ('telling-truth', 0), ('lying', 1)), ('->', ('telling-truth', 0), ('telling-truth', 1))) | 10 |
A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 2 inhabitants: Matthew, and Aurora. "Aurora is not a knave," Matthew claimed. Aurora noted, "Aurora is a knight if and only if Matthew is a knave". So who is a knight and who is a knave? | [
"Matthew",
"Aurora"
] | {
"knight": "knight",
"knave": "knave",
"a_knight": "a knight",
"a_knave": "a knave",
"Knight": "Knight",
"Knave": "Knave"
} | [
false,
false
] | Matthew is a knave, and Aurora is a knave. | (1) Matthew is a knave
(2) Aurora is a knave | Let's think step by step, by considering whether each person is lying and if that leads to contradiction. | [
"Assume Matthew 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 Matthew is a knave.",
"Aurora cannot be a knave, because this would contradict the claim of Matthew that Aurora is not a knave.",
"We have exhausted all possibilities for Aurora, so let us go back and reconsider Matthew.",
"Assume Matthew is a knave. No contradiction is found in their false claim that Aurora is not a knave.",
"Aurora cannot be a knight, because this would contradict the false claim of Matthew that Aurora is not a knave.",
"Assume Aurora is a knave. No contradiction is found in their false claim that Aurora is a knight if and only if Matthew is a knave."
] | This leads to a feasible solution. | (('not', ('lying', 1)), ('<=>', ('telling-truth', 1), ('lying', 0))) | 11 |
A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 2 inhabitants: Sebastian, and Aria. "If Aria is a knight then Aria is a knave" - Sebastian. In Aria's words: "Aria is a knight if and only if Sebastian is a knight". So who is a knight and who is a knave? | [
"Sebastian",
"Aria"
] | {
"knight": "knight",
"knave": "knave",
"a_knight": "a knight",
"a_knave": "a knave",
"Knight": "Knight",
"Knave": "Knave"
} | [
true,
false
] | Sebastian is a knight, and Aria is a knave. | (1) Sebastian is a knight
(2) Aria is a knave | Let's think step by step, by considering whether each person is lying and if that leads to contradiction. | [
"Assume Sebastian is a knight. No contradiction is found in their claim that If Aria is a knight then Aria is a knave.",
"Aria cannot be a knight, because this would contradict the claim of Sebastian that If Aria is a knight then Aria is a knave.",
"Assume Aria is a knave. No contradiction is found in their false claim that Aria is a knight if and only if Sebastian is a knight."
] | This leads to a feasible solution. | (('->', ('telling-truth', 1), ('lying', 1)), ('<=>', ('telling-truth', 1), ('telling-truth', 0))) | 12 |
A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 2 inhabitants: Aria, and Benjamin. According to Aria, "Benjamin is a knight or Aria is a knight". Benjamin remarked, "Aria is a knave". So who is a knight and who is a knave? | [
"Aria",
"Benjamin"
] | {
"knight": "knight",
"knave": "knave",
"a_knight": "a knight",
"a_knave": "a knave",
"Knight": "Knight",
"Knave": "Knave"
} | [
true,
false
] | Aria is a knight, and Benjamin is a knave. | (1) Aria is a knight
(2) Benjamin is a knave | Let's think step by step, by considering whether each person is lying and if that leads to contradiction. | [
"Assume Aria is a knight. No contradiction is found in their claim that Benjamin is a knight or Aria is a knight.",
"Benjamin cannot be a knight, because this would contradict the claim of their own that Aria is a knave.",
"Assume Benjamin is a knave. No contradiction is found in their false claim that Aria is a knave."
] | This leads to a feasible solution. | (('or', ('telling-truth', 1), ('telling-truth', 0)), ('lying', 0)) | 13 |
A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 2 inhabitants: Jack, and Mason. "Mason is a knave and Jack is a knight" - Jack. As Mason put it, "Jack is a knight". So who is a knight and who is a knave? | [
"Jack",
"Mason"
] | {
"knight": "knight",
"knave": "knave",
"a_knight": "a knight",
"a_knave": "a knave",
"Knight": "Knight",
"Knave": "Knave"
} | [
false,
false
] | Jack is a knave, and Mason is a knave. | (1) Jack is a knave
(2) Mason is a knave | Let's think step by step, by considering whether each person is lying and if that leads to contradiction. | [
"Assume Jack is a knight. No contradiction is found in their claim that Mason is a knave and Jack is a knight.",
"Mason cannot be a knight, because this would contradict the claim of Jack that Mason is a knave and Jack is a knight.",
"Mason 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 Mason, so let us go back and reconsider Jack.",
"Assume Jack is a knave. No contradiction is found in their false claim that Mason is a knave and Jack is a knight.",
"Mason cannot be a knight, because this would contradict the claim of their own that Jack is a knight.",
"Assume Mason is a knave. No contradiction is found in their false claim that Jack is a knight."
] | This leads to a feasible solution. | (('and', ('lying', 1), ('telling-truth', 0)), ('telling-truth', 0)) | 14 |
A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 2 inhabitants: Harper, and Emma. In Harper's words: "Harper is a knight or Emma is a knave". "Harper is not a knave," Emma claimed. So who is a knight and who is a knave? | [
"Harper",
"Emma"
] | {
"knight": "knight",
"knave": "knave",
"a_knight": "a knight",
"a_knave": "a knave",
"Knight": "Knight",
"Knave": "Knave"
} | [
true,
true
] | Harper is a knight, and Emma is a knight. | (1) Harper is a knight
(2) Emma is a knight | Let's think step by step, by considering whether each person is lying and if that leads to contradiction. | [
"Assume Harper is a knight. No contradiction is found in their claim that Harper is a knight or Emma is a knave.",
"Assume Emma is a knight. No contradiction is found in their claim that Harper is not a knave."
] | This leads to a feasible solution. | (('or', ('telling-truth', 0), ('lying', 1)), ('not', ('lying', 0))) | 15 |
A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 2 inhabitants: Jackson, and Grace. "Grace is a knave if and only if Jackson is a knight," Jackson claimed. As Grace put it, "Jackson is not a knave". So who is a knight and who is a knave? | [
"Jackson",
"Grace"
] | {
"knight": "knight",
"knave": "knave",
"a_knight": "a knight",
"a_knave": "a knave",
"Knight": "Knight",
"Knave": "Knave"
} | [
false,
false
] | Jackson is a knave, and Grace is a knave. | (1) Jackson is a knave
(2) Grace is a knave | Let's think step by step, by considering whether each person is lying and if that leads to contradiction. | [
"Assume Jackson is a knight. No contradiction is found in their claim that Grace is a knave if and only if Jackson is a knight.",
"Grace cannot be a knight, because this would contradict the claim of Jackson that Grace is a knave if and only if Jackson is a knight.",
"Grace cannot be a knave, because this would contradict the false claim of their own that Jackson is not a knave.",
"We have exhausted all possibilities for 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 if and only if Jackson is a knight.",
"Grace cannot be a knight, because this would contradict the false claim of Jackson that Grace is a knave if and only if Jackson is a knight.",
"Assume Grace is a knave. No contradiction is found in their false claim that Jackson is not a knave."
] | This leads to a feasible solution. | (('<=>', ('lying', 1), ('telling-truth', 0)), ('not', ('lying', 0))) | 16 |
A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 2 inhabitants: Aiden, and Lucas. As Aiden put it, "If Aiden is a knight then Lucas is a knight". According to Lucas, "Lucas is a knight and Aiden is a knight". So who is a knight and who is a knave? | [
"Aiden",
"Lucas"
] | {
"knight": "knight",
"knave": "knave",
"a_knight": "a knight",
"a_knave": "a knave",
"Knight": "Knight",
"Knave": "Knave"
} | [
true,
true
] | Aiden is a knight, and Lucas is a knight. | (1) Aiden is a knight
(2) Lucas is a knight | Let's think step by step, by considering whether each person is lying and if that leads to contradiction. | [
"Assume Aiden is a knight. No contradiction is found in their claim that If Aiden is a knight then Lucas is a knight.",
"Assume Lucas is a knight. No contradiction is found in their claim that Lucas is a knight and Aiden is a knight."
] | This leads to a feasible solution. | (('->', ('telling-truth', 0), ('telling-truth', 1)), ('and', ('telling-truth', 1), ('telling-truth', 0))) | 17 |
A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 2 inhabitants: Jack, and Olivia. Jack remarked, "Olivia is a knight and Olivia is a knave". "Jack is a knave or Olivia is a knight," Olivia claimed. So who is a knight and who is a knave? | [
"Jack",
"Olivia"
] | {
"knight": "knight",
"knave": "knave",
"a_knight": "a knight",
"a_knave": "a knave",
"Knight": "Knight",
"Knave": "Knave"
} | [
false,
true
] | Jack is a knave, and Olivia is a knight. | (1) Jack is a knave
(2) Olivia is a knight | Let's think step by step, by considering whether each person is lying and if that leads to contradiction. | [
"Jack cannot be a knight, because this would contradict the claim of their own that Olivia is a knight and Olivia is a knave.",
"Assume Jack is a knave. No contradiction is found in their false claim that Olivia is a knight and Olivia is a knave.",
"Assume Olivia is a knight. No contradiction is found in their claim that Jack is a knave or Olivia is a knight."
] | This leads to a feasible solution. | (('and', ('telling-truth', 1), ('lying', 1)), ('or', ('lying', 0), ('telling-truth', 1))) | 18 |
A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 2 inhabitants: Chloe, and Benjamin. In a statement by Chloe: "If Benjamin is a knight then Benjamin is a knave". Benjamin noted, "Chloe is a knave and Chloe is a knight". So who is a knight and who is a knave? | [
"Chloe",
"Benjamin"
] | {
"knight": "knight",
"knave": "knave",
"a_knight": "a knight",
"a_knave": "a knave",
"Knight": "Knight",
"Knave": "Knave"
} | [
true,
false
] | Chloe is a knight, and Benjamin is a knave. | (1) Chloe is a knight
(2) Benjamin is a knave | Let's think step by step, by considering whether each person is lying and if that leads to contradiction. | [
"Assume Chloe 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 Chloe 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 Chloe is a knave and Chloe is a knight."
] | This leads to a feasible solution. | (('->', ('telling-truth', 1), ('lying', 1)), ('and', ('lying', 0), ('telling-truth', 0))) | 19 |
A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 2 inhabitants: Sofia, and Amelia. "Sofia is a knight and Amelia is a knave," Sofia declared. Amelia noted, "If Sofia is a knave then Sofia is a knight". So who is a knight and who is a knave? | [
"Sofia",
"Amelia"
] | {
"knight": "knight",
"knave": "knave",
"a_knight": "a knight",
"a_knave": "a knave",
"Knight": "Knight",
"Knave": "Knave"
} | [
false,
false
] | Sofia is a knave, and Amelia is a knave. | (1) Sofia is a knave
(2) Amelia is a knave | Let's think step by step, by considering whether each person is lying and if that leads to contradiction. | [
"Assume Sofia is a knight. No contradiction is found in their claim that Sofia is a knight and Amelia is a knave.",
"Amelia cannot be a knight, because this would contradict the claim of Sofia that Sofia is a knight and Amelia is a knave.",
"Amelia 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 Amelia, so let us go back and reconsider Sofia.",
"Assume Sofia is a knave. No contradiction is found in their false claim that Sofia is a knight and Amelia is a knave.",
"Amelia cannot be a knight, because this would contradict the claim of their own that If Sofia is a knave then Sofia is a knight.",
"Assume Amelia is a knave. No contradiction is found in their false claim that If Sofia is a knave then Sofia is a knight."
] | This leads to a feasible solution. | (('and', ('telling-truth', 0), ('lying', 1)), ('->', ('lying', 0), ('telling-truth', 0))) | 20 |
A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 2 inhabitants: Logan, and Olivia. Logan was heard saying, "Logan is a knight". "If Olivia is a knight then Logan is a knight" - Olivia. So who is a knight and who is a knave? | [
"Logan",
"Olivia"
] | {
"knight": "knight",
"knave": "knave",
"a_knight": "a knight",
"a_knave": "a knave",
"Knight": "Knight",
"Knave": "Knave"
} | [
true,
true
] | Logan is a knight, and Olivia is a knight. | (1) Logan is a knight
(2) Olivia is a knight | Let's think step by step, by considering whether each person is lying and if that leads to contradiction. | [
"Assume Logan is a knight. No contradiction is found in their claim that Logan is a knight.",
"Assume Olivia is a knight. No contradiction is found in their claim that If Olivia is a knight then Logan is a knight."
] | This leads to a feasible solution. | (('telling-truth', 0), ('->', ('telling-truth', 1), ('telling-truth', 0))) | 21 |
A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 2 inhabitants: Harper, and Daniel. Harper said, "Daniel is a knave or Daniel is a knight." "Harper is a knight," Daniel declared. So who is a knight and who is a knave? | [
"Harper",
"Daniel"
] | {
"knight": "knight",
"knave": "knave",
"a_knight": "a knight",
"a_knave": "a knave",
"Knight": "Knight",
"Knave": "Knave"
} | [
true,
true
] | Harper is a knight, and Daniel is a knight. | (1) Harper is a knight
(2) Daniel is a knight | Let's think step by step, by considering whether each person is lying and if that leads to contradiction. | [
"Assume Harper 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 Harper is a knight."
] | This leads to a feasible solution. | (('or', ('lying', 1), ('telling-truth', 1)), ('telling-truth', 0)) | 22 |
A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 2 inhabitants: Liam, and Ethan. Liam stated, "Ethan is a knave if and only if Ethan is a knight". "Ethan is a knight or Liam is a knave," Ethan claimed. So who is a knight and who is a knave? | [
"Liam",
"Ethan"
] | {
"knight": "knight",
"knave": "knave",
"a_knight": "a knight",
"a_knave": "a knave",
"Knight": "Knight",
"Knave": "Knave"
} | [
false,
true
] | Liam is a knave, and Ethan is a knight. | (1) Liam is a knave
(2) Ethan is a knight | Let's think step by step, by considering whether each person is lying and if that leads to contradiction. | [
"Liam 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 Liam 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 Ethan is a knight or Liam is a knave."
] | This leads to a feasible solution. | (('<=>', ('lying', 1), ('telling-truth', 1)), ('or', ('telling-truth', 1), ('lying', 0))) | 23 |
A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 2 inhabitants: Chloe, and Emma. According to Chloe, "Chloe is a knight if and only if Emma is a knight". Emma told you that Chloe is a knave. So who is a knight and who is a knave? | [
"Chloe",
"Emma"
] | {
"knight": "knight",
"knave": "knave",
"a_knight": "a knight",
"a_knave": "a knave",
"Knight": "Knight",
"Knave": "Knave"
} | [
false,
true
] | Chloe is a knave, and Emma is a knight. | (1) Chloe is a knave
(2) Emma is a knight | Let's think step by step, by considering whether each person is lying and if that leads to contradiction. | [
"Assume Chloe is a knight. No contradiction is found in their claim that Chloe is a knight if and only if Emma is a knight.",
"Emma cannot be a knight, because this would contradict the claim of their own that Chloe is a knave.",
"Emma cannot be a knave, because this would contradict the claim of Chloe that Chloe is a knight if and only if Emma is a knight.",
"We have exhausted all possibilities for Emma, so let us go back and reconsider Chloe.",
"Assume Chloe is a knave. No contradiction is found in their false claim that Chloe is a knight if and only if Emma is a knight.",
"Assume Emma is a knight. No contradiction is found in their claim that Chloe is a knave."
] | This leads to a feasible solution. | (('<=>', ('telling-truth', 0), ('telling-truth', 1)), ('lying', 0)) | 24 |
A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 2 inhabitants: Jack, and Emma. Jack commented, "Emma is a knight if and only if Jack is a knight". "Jack is a knight," Emma declared. So who is a knight and who is a knave? | [
"Jack",
"Emma"
] | {
"knight": "knight",
"knave": "knave",
"a_knight": "a knight",
"a_knave": "a knave",
"Knight": "Knight",
"Knave": "Knave"
} | [
true,
true
] | Jack is a knight, and Emma is a knight. | (1) Jack is a knight
(2) Emma is a knight | Let's think step by step, by considering whether each person is lying and if that leads to contradiction. | [
"Assume Jack is a knight. No contradiction is found in their claim that Emma is a knight if and only if Jack is a knight.",
"Assume Emma is a knight. No contradiction is found in their claim that Jack is a knight."
] | This leads to a feasible solution. | (('<=>', ('telling-truth', 1), ('telling-truth', 0)), ('telling-truth', 0)) | 25 |
A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 2 inhabitants: Emily, and Ella. "Emily is a knight," Emily mentioned. Ella said that If Ella is a knight then Emily is a knave. So who is a knight and who is a knave? | [
"Emily",
"Ella"
] | {
"knight": "knight",
"knave": "knave",
"a_knight": "a knight",
"a_knave": "a knave",
"Knight": "Knight",
"Knave": "Knave"
} | [
false,
true
] | Emily is a knave, and Ella is a knight. | (1) Emily is a knave
(2) Ella is a knight | Let's think step by step, by considering whether each person is lying and if that leads to contradiction. | [
"Assume Emily is a knight. No contradiction is found in their claim that Emily is a knight.",
"Ella cannot be a knight, because this would contradict the claim of their own that If Ella is a knight then Emily is a knave.",
"Ella cannot be a knave, because this would contradict the false claim of their own that If Ella is a knight then Emily is a knave.",
"We have exhausted all possibilities for Ella, so let us go back and reconsider Emily.",
"Assume Emily is a knave. No contradiction is found in their false claim that Emily is a knight.",
"Assume Ella is a knight. No contradiction is found in their claim that If Ella is a knight then Emily is a knave."
] | This leads to a feasible solution. | (('telling-truth', 0), ('->', ('telling-truth', 1), ('lying', 0))) | 26 |
A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 2 inhabitants: Riley, and Lucas. In Riley's words: "Lucas is a knave or Riley is a knight". In a statement by Lucas: "Riley is a knave if and only if Lucas is a knight". So who is a knight and who is a knave? | [
"Riley",
"Lucas"
] | {
"knight": "knight",
"knave": "knave",
"a_knight": "a knight",
"a_knave": "a knave",
"Knight": "Knight",
"Knave": "Knave"
} | [
false,
true
] | Riley is a knave, and Lucas is a knight. | (1) Riley is a knave
(2) Lucas is a knight | Let's think step by step, by considering whether each person is lying and if that leads to contradiction. | [
"Assume Riley is a knight. No contradiction is found in their claim that Lucas is a knave or Riley is a knight.",
"Lucas cannot be a knight, because this would contradict the claim of their own that Riley is a knave if and only if Lucas is a knight.",
"Lucas cannot be a knave, because this would contradict the false claim of their own that Riley 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 Riley.",
"Assume Riley is a knave. No contradiction is found in their false claim that Lucas is a knave or Riley is a knight.",
"Assume Lucas is a knight. No contradiction is found in their claim that Riley is a knave if and only if Lucas is a knight."
] | This leads to a feasible solution. | (('or', ('lying', 1), ('telling-truth', 0)), ('<=>', ('lying', 0), ('telling-truth', 1))) | 27 |
A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 2 inhabitants: Zoey, and Samuel. Zoey said, "Samuel is a knave or Samuel is a knight." In a statement by Samuel: "Zoey is a knave if and only if Zoey is a knight". So who is a knight and who is a knave? | [
"Zoey",
"Samuel"
] | {
"knight": "knight",
"knave": "knave",
"a_knight": "a knight",
"a_knave": "a knave",
"Knight": "Knight",
"Knave": "Knave"
} | [
true,
false
] | Zoey is a knight, and Samuel is a knave. | (1) Zoey is a knight
(2) Samuel is a knave | Let's think step by step, by considering whether each person is lying and if that leads to contradiction. | [
"Assume Zoey is a knight. No contradiction is found in their claim that Samuel is a knave or Samuel is a knight.",
"Samuel cannot be a knight, because this would contradict the claim of their own that Zoey is a knave if and only if Zoey is a knight.",
"Assume Samuel is a knave. No contradiction is found in their false claim that Zoey is a knave if and only if Zoey is a knight."
] | This leads to a feasible solution. | (('or', ('lying', 1), ('telling-truth', 1)), ('<=>', ('lying', 0), ('telling-truth', 0))) | 28 |
A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 2 inhabitants: Avery, and Henry. Avery was heard saying, "Avery is a knight and Henry is a knave". Henry commented, "Avery is a knight". So who is a knight and who is a knave? | [
"Avery",
"Henry"
] | {
"knight": "knight",
"knave": "knave",
"a_knight": "a knight",
"a_knave": "a knave",
"Knight": "Knight",
"Knave": "Knave"
} | [
false,
false
] | Avery is a knave, and Henry is a knave. | (1) Avery is a knave
(2) Henry is a knave | Let's think step by step, by considering whether each person is lying and if that leads to contradiction. | [
"Assume Avery is a knight. No contradiction is found in their claim that Avery is a knight and Henry is a knave.",
"Henry cannot be a knight, because this would contradict the claim of Avery that Avery is a knight and Henry is a knave.",
"Henry 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 Henry, so let us go back and reconsider Avery.",
"Assume Avery is a knave. No contradiction is found in their false claim that Avery is a knight and Henry is a knave.",
"Henry cannot be a knight, because this would contradict the claim of their own that Avery is a knight.",
"Assume Henry is a knave. No contradiction is found in their false claim that Avery is a knight."
] | This leads to a feasible solution. | (('and', ('telling-truth', 0), ('lying', 1)), ('telling-truth', 0)) | 29 |
A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 2 inhabitants: Zoey, and David. Zoey stated, "David is not a knave". David noted, "David is a knight and Zoey is a knave". So who is a knight and who is a knave? | [
"Zoey",
"David"
] | {
"knight": "knight",
"knave": "knave",
"a_knight": "a knight",
"a_knave": "a knave",
"Knight": "Knight",
"Knave": "Knave"
} | [
false,
false
] | Zoey is a knave, and David is a knave. | (1) Zoey is a knave
(2) David is a knave | Let's think step by step, by considering whether each person is lying and if that leads to contradiction. | [
"Assume Zoey 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 David is a knight and Zoey is a knave.",
"David cannot be a knave, because this would contradict the claim of Zoey that David is not a knave.",
"We have exhausted all possibilities for David, so let us go back and reconsider Zoey.",
"Assume Zoey is a knave. No contradiction is found in their false claim that David is not a knave.",
"David cannot be a knight, because this would contradict the false claim of Zoey that David is not a knave.",
"Assume David is a knave. No contradiction is found in their false claim that David is a knight and Zoey is a knave."
] | This leads to a feasible solution. | (('not', ('lying', 1)), ('and', ('telling-truth', 1), ('lying', 0))) | 30 |
A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 2 inhabitants: Daniel, and Evelyn. "If Evelyn is a knave then Daniel is a knight," Daniel declared. Evelyn stated, "Daniel is a knave if and only if Evelyn is a knight". So who is a knight and who is a knave? | [
"Daniel",
"Evelyn"
] | {
"knight": "knight",
"knave": "knave",
"a_knight": "a knight",
"a_knave": "a knave",
"Knight": "Knight",
"Knave": "Knave"
} | [
false,
false
] | Daniel is a knave, and Evelyn is a knave. | (1) Daniel is a knave
(2) Evelyn is a knave | Let's think step by step, by considering whether each person is lying and if that leads to contradiction. | [
"Assume Daniel is a knight. No contradiction is found in their claim that If Evelyn is a knave then Daniel is a knight.",
"Evelyn cannot be a knight, because this would contradict the claim of their own that Daniel 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 Daniel 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 Daniel.",
"Assume Daniel is a knave. No contradiction is found in their false claim that If Evelyn is a knave then Daniel is a knight.",
"Evelyn cannot be a knight, because this would contradict the false claim of Daniel that If Evelyn is a knave then Daniel is a knight.",
"Assume Evelyn is a knave. No contradiction is found in their false claim that Daniel is a knave if and only if Evelyn is a knight."
] | This leads to a feasible solution. | (('->', ('lying', 1), ('telling-truth', 0)), ('<=>', ('lying', 0), ('telling-truth', 1))) | 31 |
A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 2 inhabitants: Owen, and Chloe. According to Owen, "Chloe is not a knave". Chloe commented, "Owen is a knight if and only if Chloe is a knight". So who is a knight and who is a knave? | [
"Owen",
"Chloe"
] | {
"knight": "knight",
"knave": "knave",
"a_knight": "a knight",
"a_knave": "a knave",
"Knight": "Knight",
"Knave": "Knave"
} | [
true,
true
] | Owen is a knight, and Chloe is a knight. | (1) Owen is a knight
(2) Chloe is a knight | Let's think step by step, by considering whether each person is lying and if that leads to contradiction. | [
"Assume Owen 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 Owen is a knight if and only if Chloe is a knight."
] | This leads to a feasible solution. | (('not', ('lying', 1)), ('<=>', ('telling-truth', 0), ('telling-truth', 1))) | 32 |
A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 2 inhabitants: Olivia, and Ella. "If Olivia is a knight then Ella is a knave," Olivia mentioned. Ella said that Ella is a knight or Olivia is a knave. So who is a knight and who is a knave? | [
"Olivia",
"Ella"
] | {
"knight": "knight",
"knave": "knave",
"a_knight": "a knight",
"a_knave": "a knave",
"Knight": "Knight",
"Knave": "Knave"
} | [
true,
false
] | Olivia is a knight, and Ella is a knave. | (1) Olivia is a knight
(2) Ella is a knave | Let's think step by step, by considering whether each person is lying and if that leads to contradiction. | [
"Assume Olivia is a knight. No contradiction is found in their claim that If Olivia is a knight then Ella is a knave.",
"Ella cannot be a knight, because this would contradict the claim of Olivia that If Olivia is a knight then Ella is a knave.",
"Assume Ella is a knave. No contradiction is found in their false claim that Ella is a knight or Olivia is a knave."
] | This leads to a feasible solution. | (('->', ('telling-truth', 0), ('lying', 1)), ('or', ('telling-truth', 1), ('lying', 0))) | 33 |
A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 2 inhabitants: David, and Matthew. As David put it, "David is a knight and Matthew is a knight". Matthew said, "David is not a knight." So who is a knight and who is a knave? | [
"David",
"Matthew"
] | {
"knight": "knight",
"knave": "knave",
"a_knight": "a knight",
"a_knave": "a knave",
"Knight": "Knight",
"Knave": "Knave"
} | [
false,
true
] | David is a knave, and Matthew is a knight. | (1) David is a knave
(2) Matthew is a knight | Let's think step by step, by considering whether each person is lying and if that leads to contradiction. | [
"Assume David is a knight. No contradiction is found in their claim that David is a knight and Matthew is a knight.",
"Matthew cannot be a knight, because this would contradict the claim of their own that David is not a knight.",
"Matthew cannot be a knave, because this would contradict the claim of David that David is a knight and Matthew is a knight.",
"We have exhausted all possibilities for Matthew, so let us go back and reconsider David.",
"Assume David is a knave. No contradiction is found in their false claim that David is a knight and Matthew is a knight.",
"Assume Matthew is a knight. No contradiction is found in their claim that David is not a knight."
] | This leads to a feasible solution. | (('and', ('telling-truth', 0), ('telling-truth', 1)), ('not', ('telling-truth', 0))) | 34 |
A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 2 inhabitants: Abigail, and Benjamin. Abigail noted, "Benjamin is a knight or Benjamin is a knave". In a statement by Benjamin: "Abigail is a knave". So who is a knight and who is a knave? | [
"Abigail",
"Benjamin"
] | {
"knight": "knight",
"knave": "knave",
"a_knight": "a knight",
"a_knave": "a knave",
"Knight": "Knight",
"Knave": "Knave"
} | [
true,
false
] | Abigail is a knight, and Benjamin is a knave. | (1) Abigail is a knight
(2) Benjamin is a knave | Let's think step by step, by considering whether each person is lying and if that leads to contradiction. | [
"Assume Abigail is a knight. No contradiction is found in their claim that Benjamin is a knight or Benjamin is a knave.",
"Benjamin cannot be a knight, because this would contradict the claim of their own that Abigail is a knave.",
"Assume Benjamin is a knave. No contradiction is found in their false claim that Abigail is a knave."
] | This leads to a feasible solution. | (('or', ('telling-truth', 1), ('lying', 1)), ('lying', 0)) | 35 |
A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 2 inhabitants: Zoey, and William. Zoey commented, "William is not a knight". "William is a knight if and only if Zoey is a knight," William declared. So who is a knight and who is a knave? | [
"Zoey",
"William"
] | {
"knight": "knight",
"knave": "knave",
"a_knight": "a knight",
"a_knave": "a knave",
"Knight": "Knight",
"Knave": "Knave"
} | [
true,
false
] | Zoey is a knight, and William is a knave. | (1) Zoey is a knight
(2) William is a knave | Let's think step by step, by considering whether each person is lying and if that leads to contradiction. | [
"Assume Zoey 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 Zoey that William is not a knight.",
"Assume William is a knave. No contradiction is found in their false claim that William is a knight if and only if Zoey is a knight."
] | This leads to a feasible solution. | (('not', ('telling-truth', 1)), ('<=>', ('telling-truth', 1), ('telling-truth', 0))) | 36 |
A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 2 inhabitants: Evelyn, and Aurora. "Aurora is a knight or Aurora is a knave" - Evelyn. "Evelyn is not a knave" - Aurora. So who is a knight and who is a knave? | [
"Evelyn",
"Aurora"
] | {
"knight": "knight",
"knave": "knave",
"a_knight": "a knight",
"a_knave": "a knave",
"Knight": "Knight",
"Knave": "Knave"
} | [
true,
true
] | Evelyn is a knight, and Aurora is a knight. | (1) Evelyn is a knight
(2) Aurora is a knight | Let's think step by step, by considering whether each person is lying and if that leads to contradiction. | [
"Assume Evelyn 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 Evelyn is not a knave."
] | This leads to a feasible solution. | (('or', ('telling-truth', 1), ('lying', 1)), ('not', ('lying', 0))) | 37 |
A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 2 inhabitants: Jacob, and Victoria. "Victoria is a knave if and only if Jacob is a knight," Jacob claimed. Victoria was heard saying, "Victoria is a knight or Jacob is a knight". So who is a knight and who is a knave? | [
"Jacob",
"Victoria"
] | {
"knight": "knight",
"knave": "knave",
"a_knight": "a knight",
"a_knave": "a knave",
"Knight": "Knight",
"Knave": "Knave"
} | [
false,
false
] | Jacob is a knave, and Victoria is a knave. | (1) Jacob is a knave
(2) Victoria is a knave | Let's think step by step, by considering whether each person is lying and if that leads to contradiction. | [
"Assume Jacob is a knight. No contradiction is found in their claim that Victoria is a knave if and only if Jacob is a knight.",
"Victoria cannot be a knight, because this would contradict the claim of Jacob that Victoria is a knave if and only if Jacob is a knight.",
"Victoria cannot be a knave, because this would contradict the false claim of their own that Victoria is a knight or Jacob is a knight.",
"We have exhausted all possibilities for Victoria, so let us go back and reconsider Jacob.",
"Assume Jacob is a knave. No contradiction is found in their false claim that Victoria is a knave if and only if Jacob is a knight.",
"Victoria cannot be a knight, because this would contradict the false claim of Jacob that Victoria is a knave if and only if Jacob is a knight.",
"Assume Victoria is a knave. No contradiction is found in their false claim that Victoria is a knight or Jacob is a knight."
] | This leads to a feasible solution. | (('<=>', ('lying', 1), ('telling-truth', 0)), ('or', ('telling-truth', 1), ('telling-truth', 0))) | 38 |
A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 2 inhabitants: Aiden, and Lily. Aiden asserted: "Lily is a knave". Lily stated, "Aiden is a knight and Aiden is a knave". So who is a knight and who is a knave? | [
"Aiden",
"Lily"
] | {
"knight": "knight",
"knave": "knave",
"a_knight": "a knight",
"a_knave": "a knave",
"Knight": "Knight",
"Knave": "Knave"
} | [
true,
false
] | Aiden is a knight, and Lily is a knave. | (1) Aiden is a knight
(2) Lily is a knave | Let's think step by step, by considering whether each person is lying and if that leads to contradiction. | [
"Assume Aiden 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 Aiden that Lily is a knave.",
"Assume Lily is a knave. No contradiction is found in their false claim that Aiden is a knight and Aiden is a knave."
] | This leads to a feasible solution. | (('lying', 1), ('and', ('telling-truth', 0), ('lying', 0))) | 39 |
A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 2 inhabitants: Emily, and James. Emily was heard saying, "If Emily is a knight then James is a knight". James stated, "Emily is not a knave". So who is a knight and who is a knave? | [
"Emily",
"James"
] | {
"knight": "knight",
"knave": "knave",
"a_knight": "a knight",
"a_knave": "a knave",
"Knight": "Knight",
"Knave": "Knave"
} | [
true,
true
] | Emily is a knight, and James is a knight. | (1) Emily is a knight
(2) James is a knight | Let's think step by step, by considering whether each person is lying and if that leads to contradiction. | [
"Assume Emily is a knight. No contradiction is found in their claim that If Emily is a knight then James is a knight.",
"Assume James is a knight. No contradiction is found in their claim that Emily is not a knave."
] | This leads to a feasible solution. | (('->', ('telling-truth', 0), ('telling-truth', 1)), ('not', ('lying', 0))) | 40 |
A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 2 inhabitants: Evelyn, and Ava. "Ava is not a knight" - Evelyn. Ava noted, "Evelyn is a knight or Ava is a knight". So who is a knight and who is a knave? | [
"Evelyn",
"Ava"
] | {
"knight": "knight",
"knave": "knave",
"a_knight": "a knight",
"a_knave": "a knave",
"Knight": "Knight",
"Knave": "Knave"
} | [
false,
true
] | Evelyn is a knave, and Ava is a knight. | (1) Evelyn is a knave
(2) Ava is a knight | Let's think step by step, by considering whether each person is lying and if that leads to contradiction. | [
"Assume Evelyn 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 Evelyn that Ava is not a knight.",
"Ava cannot be a knave, because this would contradict the false claim of their own that Evelyn is a knight or Ava 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 not a knight.",
"Assume Ava is a knight. No contradiction is found in their claim that Evelyn is a knight or Ava is a knight."
] | This leads to a feasible solution. | (('not', ('telling-truth', 1)), ('or', ('telling-truth', 0), ('telling-truth', 1))) | 41 |
A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 2 inhabitants: Ethan, and Jacob. Ethan said, "Jacob is a knight if and only if Jacob is a knave." Jacob asserted: "Ethan is a knave". So who is a knight and who is a knave? | [
"Ethan",
"Jacob"
] | {
"knight": "knight",
"knave": "knave",
"a_knight": "a knight",
"a_knave": "a knave",
"Knight": "Knight",
"Knave": "Knave"
} | [
false,
true
] | Ethan is a knave, and Jacob is a knight. | (1) Ethan is a knave
(2) Jacob is a knight | Let's think step by step, by considering whether each person is lying and if that leads to contradiction. | [
"Ethan cannot be a knight, because this would contradict the claim of their own that Jacob is a knight if and only if Jacob is a knave.",
"Assume Ethan is a knave. No contradiction is found in their false claim that Jacob is a knight if and only if Jacob is a knave.",
"Assume Jacob is a knight. No contradiction is found in their claim that Ethan is a knave."
] | This leads to a feasible solution. | (('<=>', ('telling-truth', 1), ('lying', 1)), ('lying', 0)) | 42 |
A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 2 inhabitants: Charlotte, and Owen. "Owen is not a knave," Charlotte mentioned. According to Owen, "Charlotte is a knave or Owen is a knight". So who is a knight and who is a knave? | [
"Charlotte",
"Owen"
] | {
"knight": "knight",
"knave": "knave",
"a_knight": "a knight",
"a_knave": "a knave",
"Knight": "Knight",
"Knave": "Knave"
} | [
true,
true
] | Charlotte is a knight, and Owen is a knight. | (1) Charlotte is a knight
(2) Owen is a knight | Let's think step by step, by considering whether each person is lying and if that leads to contradiction. | [
"Assume Charlotte is a knight. No contradiction is found in their claim that Owen is not a knave.",
"Assume Owen is a knight. No contradiction is found in their claim that Charlotte is a knave or Owen is a knight."
] | This leads to a feasible solution. | (('not', ('lying', 1)), ('or', ('lying', 0), ('telling-truth', 1))) | 43 |
A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 2 inhabitants: Grace, and Jackson. Grace said that Grace is a knight if and only if Jackson is a knave. Jackson noted, "Grace is a knave if and only if Jackson is a knight". So who is a knight and who is a knave? | [
"Grace",
"Jackson"
] | {
"knight": "knight",
"knave": "knave",
"a_knight": "a knight",
"a_knave": "a knave",
"Knight": "Knight",
"Knave": "Knave"
} | [
false,
false
] | Grace is a knave, and Jackson is a knave. | (1) Grace is a knave
(2) Jackson is a knave | Let's think step by step, by considering whether each person is lying and if that leads to contradiction. | [
"Assume Grace is a knight. No contradiction is found in their claim that Grace is a knight if and only if Jackson is a knave.",
"Jackson cannot be a knight, because this would contradict the claim of Grace that Grace 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 Grace is a knave if and only if Jackson 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 Grace is a knight if and only if Jackson is a knave.",
"Jackson cannot be a knight, because this would contradict the false claim of Grace that Grace 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 Grace is a knave if and only if Jackson is a knight."
] | This leads to a feasible solution. | (('<=>', ('telling-truth', 0), ('lying', 1)), ('<=>', ('lying', 0), ('telling-truth', 1))) | 44 |
A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 2 inhabitants: Ethan, and Chloe. In a statement by Ethan: "Chloe is a knave or Ethan is a knight". In a statement by Chloe: "Ethan is a knave and Ethan is a knight". So who is a knight and who is a knave? | [
"Ethan",
"Chloe"
] | {
"knight": "knight",
"knave": "knave",
"a_knight": "a knight",
"a_knave": "a knave",
"Knight": "Knight",
"Knave": "Knave"
} | [
true,
false
] | Ethan is a knight, and Chloe is a knave. | (1) Ethan is a knight
(2) Chloe is a knave | Let's think step by step, by considering whether each person is lying and if that leads to contradiction. | [
"Assume Ethan is a knight. No contradiction is found in their claim that Chloe is a knave or Ethan is a knight.",
"Chloe cannot be a knight, because this would contradict the claim of their own that Ethan is a knave and Ethan is a knight.",
"Assume Chloe is a knave. No contradiction is found in their false claim that Ethan is a knave and Ethan is a knight."
] | This leads to a feasible solution. | (('or', ('lying', 1), ('telling-truth', 0)), ('and', ('lying', 0), ('telling-truth', 0))) | 45 |
A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 2 inhabitants: Grace, and Zoey. "Zoey is a knave or Zoey is a knight," Grace mentioned. "Grace is a knave," Zoey claimed. So who is a knight and who is a knave? | [
"Grace",
"Zoey"
] | {
"knight": "knight",
"knave": "knave",
"a_knight": "a knight",
"a_knave": "a knave",
"Knight": "Knight",
"Knave": "Knave"
} | [
true,
false
] | Grace is a knight, and Zoey is a knave. | (1) Grace is a knight
(2) Zoey is a knave | Let's think step by step, by considering whether each person is lying and if that leads to contradiction. | [
"Assume Grace is a knight. No contradiction is found in their claim that Zoey is a knave or Zoey is a knight.",
"Zoey cannot be a knight, because this would contradict the claim of their own that Grace is a knave.",
"Assume Zoey is a knave. No contradiction is found in their false claim that Grace is a knave."
] | This leads to a feasible solution. | (('or', ('lying', 1), ('telling-truth', 1)), ('lying', 0)) | 46 |
A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 2 inhabitants: Noah, and Aria. Noah noted, "Aria is a knight and Noah is a knight". According to Aria, "Noah is a knave and Noah is a knight". So who is a knight and who is a knave? | [
"Noah",
"Aria"
] | {
"knight": "knight",
"knave": "knave",
"a_knight": "a knight",
"a_knave": "a knave",
"Knight": "Knight",
"Knave": "Knave"
} | [
false,
false
] | Noah is a knave, and Aria is a knave. | (1) Noah is a knave
(2) Aria is a knave | Let's think step by step, by considering whether each person is lying and if that leads to contradiction. | [
"Assume Noah is a knight. No contradiction is found in their claim that Aria is a knight and Noah is a knight.",
"Aria cannot be a knight, because this would contradict the claim of their own that Noah is a knave and Noah is a knight.",
"Aria cannot be a knave, because this would contradict the claim of Noah that Aria is a knight and Noah is a knight.",
"We have exhausted all possibilities for Aria, so let us go back and reconsider Noah.",
"Assume Noah is a knave. No contradiction is found in their false claim that Aria is a knight and Noah is a knight.",
"Aria cannot be a knight, because this would contradict the claim of their own that Noah is a knave and Noah is a knight.",
"Assume Aria is a knave. No contradiction is found in their false claim that Noah is a knave and Noah is a knight."
] | This leads to a feasible solution. | (('and', ('telling-truth', 1), ('telling-truth', 0)), ('and', ('lying', 0), ('telling-truth', 0))) | 47 |
A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 2 inhabitants: Owen, and Alexander. "If Alexander is a knight then Alexander is a knave," Owen claimed. Alexander remarked, "Owen is a knight if and only if Alexander is a knight". So who is a knight and who is a knave? | [
"Owen",
"Alexander"
] | {
"knight": "knight",
"knave": "knave",
"a_knight": "a knight",
"a_knave": "a knave",
"Knight": "Knight",
"Knave": "Knave"
} | [
true,
false
] | Owen is a knight, and Alexander is a knave. | (1) Owen is a knight
(2) Alexander is a knave | Let's think step by step, by considering whether each person is lying and if that leads to contradiction. | [
"Assume Owen 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 Owen 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 Owen is a knight if and only if Alexander is a knight."
] | This leads to a feasible solution. | (('->', ('telling-truth', 1), ('lying', 1)), ('<=>', ('telling-truth', 0), ('telling-truth', 1))) | 48 |
A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 2 inhabitants: Avery, and Joseph. "If Joseph is a knight then Joseph is a knave," Avery mentioned. Joseph stated, "Avery is a knave if and only if Avery is a knight". So who is a knight and who is a knave? | [
"Avery",
"Joseph"
] | {
"knight": "knight",
"knave": "knave",
"a_knight": "a knight",
"a_knave": "a knave",
"Knight": "Knight",
"Knave": "Knave"
} | [
true,
false
] | Avery is a knight, and Joseph is a knave. | (1) Avery is a knight
(2) Joseph is a knave | Let's think step by step, by considering whether each person is lying and if that leads to contradiction. | [
"Assume Avery is a knight. No contradiction is found in their claim that If Joseph is a knight then Joseph is a knave.",
"Joseph cannot be a knight, because this would contradict the claim of Avery that If Joseph is a knight then Joseph is a knave.",
"Assume Joseph is a knave. No contradiction is found in their false claim that Avery is a knave if and only if Avery is a knight."
] | This leads to a feasible solution. | (('->', ('telling-truth', 1), ('lying', 1)), ('<=>', ('lying', 0), ('telling-truth', 0))) | 49 |
A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 2 inhabitants: James, and Sophia. According to James, "Sophia is a knight and Sophia is a knave". Sophia said, "If James is a knight then James is a knave." So who is a knight and who is a knave? | [
"James",
"Sophia"
] | {
"knight": "knight",
"knave": "knave",
"a_knight": "a knight",
"a_knave": "a knave",
"Knight": "Knight",
"Knave": "Knave"
} | [
false,
true
] | James is a knave, and Sophia is a knight. | (1) James is a knave
(2) Sophia is a knight | Let's think step by step, by considering whether each person is lying and if that leads to contradiction. | [
"James cannot be a knight, because this would contradict the claim of their own that Sophia is a knight and Sophia is a knave.",
"Assume James is a knave. No contradiction is found in their false claim that Sophia is a knight and Sophia is a knave.",
"Assume Sophia is a knight. No contradiction is found in their claim that If James is a knight then James is a knave."
] | This leads to a feasible solution. | (('and', ('telling-truth', 1), ('lying', 1)), ('->', ('telling-truth', 0), ('lying', 0))) | 50 |
A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 2 inhabitants: Noah, and Benjamin. Noah expressed that Benjamin is not a knave. Benjamin said that Noah is a knave if and only if Noah is a knight. So who is a knight and who is a knave? | [
"Noah",
"Benjamin"
] | {
"knight": "knight",
"knave": "knave",
"a_knight": "a knight",
"a_knave": "a knave",
"Knight": "Knight",
"Knave": "Knave"
} | [
false,
false
] | Noah is a knave, and Benjamin is a knave. | (1) Noah is a knave
(2) Benjamin is a knave | Let's think step by step, by considering whether each person is lying and if that leads to contradiction. | [
"Assume Noah 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 Noah is a knave if and only if Noah is a knight.",
"Benjamin cannot be a knave, because this would contradict the claim of Noah that Benjamin is not a knave.",
"We have exhausted all possibilities for Benjamin, so let us go back and reconsider Noah.",
"Assume Noah is a knave. No contradiction is found in their false claim that Benjamin is not a knave.",
"Benjamin cannot be a knight, because this would contradict the false claim of Noah that Benjamin is not a knave.",
"Assume Benjamin is a knave. No contradiction is found in their false claim that Noah is a knave if and only if Noah is a knight."
] | This leads to a feasible solution. | (('not', ('lying', 1)), ('<=>', ('lying', 0), ('telling-truth', 0))) | 51 |
A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 2 inhabitants: Elizabeth, and Sophia. Elizabeth told you that Sophia is a knave or Elizabeth is a knight. "Elizabeth is a knight if and only if Elizabeth is a knave" - Sophia. So who is a knight and who is a knave? | [
"Elizabeth",
"Sophia"
] | {
"knight": "knight",
"knave": "knave",
"a_knight": "a knight",
"a_knave": "a knave",
"Knight": "Knight",
"Knave": "Knave"
} | [
true,
false
] | Elizabeth is a knight, and Sophia is a knave. | (1) Elizabeth is a knight
(2) Sophia is a knave | Let's think step by step, by considering whether each person is lying and if that leads to contradiction. | [
"Assume Elizabeth is a knight. No contradiction is found in their claim that Sophia is a knave or Elizabeth is a knight.",
"Sophia 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 Sophia is a knave. No contradiction is found in their false claim that Elizabeth is a knight if and only if Elizabeth is a knave."
] | This leads to a feasible solution. | (('or', ('lying', 1), ('telling-truth', 0)), ('<=>', ('telling-truth', 0), ('lying', 0))) | 52 |
A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 2 inhabitants: William, and Sebastian. William said that Sebastian is a knight. Sebastian was heard saying, "William is a knight or William is a knave". So who is a knight and who is a knave? | [
"William",
"Sebastian"
] | {
"knight": "knight",
"knave": "knave",
"a_knight": "a knight",
"a_knave": "a knave",
"Knight": "Knight",
"Knave": "Knave"
} | [
true,
true
] | William is a knight, and Sebastian is a knight. | (1) William is a knight
(2) Sebastian is a knight | Let's think step by step, by considering whether each person is lying and if that leads to contradiction. | [
"Assume William 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 William is a knight or William is a knave."
] | This leads to a feasible solution. | (('telling-truth', 1), ('or', ('telling-truth', 0), ('lying', 0))) | 53 |
A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 2 inhabitants: Liam, and Evelyn. Liam said, "Evelyn is a knight." "Evelyn is a knight if and only if Liam is a knight," Evelyn claimed. So who is a knight and who is a knave? | [
"Liam",
"Evelyn"
] | {
"knight": "knight",
"knave": "knave",
"a_knight": "a knight",
"a_knave": "a knave",
"Knight": "Knight",
"Knave": "Knave"
} | [
true,
true
] | Liam is a knight, and Evelyn is a knight. | (1) Liam is a knight
(2) Evelyn is a knight | Let's think step by step, by considering whether each person is lying and if that leads to contradiction. | [
"Assume Liam 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 Evelyn is a knight if and only if Liam is a knight."
] | This leads to a feasible solution. | (('telling-truth', 1), ('<=>', ('telling-truth', 1), ('telling-truth', 0))) | 54 |
A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 2 inhabitants: Mason, and Michael. In a statement by Mason: "Michael is a knight or Michael is a knave". "If Michael is a knight then Mason is a knight," Michael mentioned. So who is a knight and who is a knave? | [
"Mason",
"Michael"
] | {
"knight": "knight",
"knave": "knave",
"a_knight": "a knight",
"a_knave": "a knave",
"Knight": "Knight",
"Knave": "Knave"
} | [
true,
true
] | Mason is a knight, and Michael is a knight. | (1) Mason is a knight
(2) Michael is a knight | Let's think step by step, by considering whether each person is lying and if that leads to contradiction. | [
"Assume Mason is a knight. No contradiction is found in their claim that Michael is a knight or Michael is a knave.",
"Assume Michael is a knight. No contradiction is found in their claim that If Michael is a knight then Mason is a knight."
] | This leads to a feasible solution. | (('or', ('telling-truth', 1), ('lying', 1)), ('->', ('telling-truth', 1), ('telling-truth', 0))) | 55 |
A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 2 inhabitants: Scarlett, and Jackson. Scarlett was heard saying, "If Jackson is a knight then Scarlett is a knight". "If Jackson is a knight then Scarlett is a knave," Jackson claimed. So who is a knight and who is a knave? | [
"Scarlett",
"Jackson"
] | {
"knight": "knight",
"knave": "knave",
"a_knight": "a knight",
"a_knave": "a knave",
"Knight": "Knight",
"Knave": "Knave"
} | [
false,
true
] | Scarlett is a knave, and Jackson is a knight. | (1) Scarlett is a knave
(2) Jackson is a knight | Let's think step by step, by considering whether each person is lying and if that leads to contradiction. | [
"Assume Scarlett is a knight. No contradiction is found in their claim that If Jackson is a knight then Scarlett is a knight.",
"Jackson cannot be a knight, because this would contradict the claim of their own that If Jackson is a knight then Scarlett is a knave.",
"Jackson cannot be a knave, because this would contradict the false claim of their own that If Jackson is a knight then Scarlett is a knave.",
"We have exhausted all possibilities for Jackson, so let us go back and reconsider Scarlett.",
"Assume Scarlett is a knave. No contradiction is found in their false claim that If Jackson is a knight then Scarlett is a knight.",
"Assume Jackson is a knight. No contradiction is found in their claim that If Jackson is a knight then Scarlett is a knave."
] | This leads to a feasible solution. | (('->', ('telling-truth', 1), ('telling-truth', 0)), ('->', ('telling-truth', 1), ('lying', 0))) | 56 |
A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 2 inhabitants: Penelope, and Amelia. "If Amelia is a knight then Penelope is a knight" - Penelope. "Penelope is a knave if and only if Amelia is a knight" - Amelia. So who is a knight and who is a knave? | [
"Penelope",
"Amelia"
] | {
"knight": "knight",
"knave": "knave",
"a_knight": "a knight",
"a_knave": "a knave",
"Knight": "Knight",
"Knave": "Knave"
} | [
false,
true
] | Penelope is a knave, and Amelia is a knight. | (1) Penelope is a knave
(2) Amelia is a knight | Let's think step by step, by considering whether each person is lying and if that leads to contradiction. | [
"Assume Penelope is a knight. No contradiction is found in their claim that If Amelia is a knight then Penelope is a knight.",
"Amelia cannot be a knight, because this would contradict the claim of their own that Penelope is a knave if and only if Amelia is a knight.",
"Amelia cannot be a knave, because this would contradict the false claim of their own that Penelope is a knave if and only if Amelia is a knight.",
"We have exhausted all possibilities for Amelia, so let us go back and reconsider Penelope.",
"Assume Penelope is a knave. No contradiction is found in their false claim that If Amelia is a knight then Penelope is a knight.",
"Assume Amelia is a knight. No contradiction is found in their claim that Penelope is a knave if and only if Amelia is a knight."
] | This leads to a feasible solution. | (('->', ('telling-truth', 1), ('telling-truth', 0)), ('<=>', ('lying', 0), ('telling-truth', 1))) | 57 |
A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 2 inhabitants: Chloe, and Sebastian. Chloe stated, "Sebastian is not a knave". "If Chloe is a knight then Sebastian is a knight," Sebastian mentioned. So who is a knight and who is a knave? | [
"Chloe",
"Sebastian"
] | {
"knight": "knight",
"knave": "knave",
"a_knight": "a knight",
"a_knave": "a knave",
"Knight": "Knight",
"Knave": "Knave"
} | [
true,
true
] | Chloe is a knight, and Sebastian is a knight. | (1) Chloe is a knight
(2) Sebastian is a knight | Let's think step by step, by considering whether each person is lying and if that leads to contradiction. | [
"Assume Chloe 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 Chloe is a knight then Sebastian is a knight."
] | This leads to a feasible solution. | (('not', ('lying', 1)), ('->', ('telling-truth', 0), ('telling-truth', 1))) | 58 |
A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 2 inhabitants: Penelope, and Alexander. According to Penelope, "Alexander is a knave if and only if Penelope is a knight". Alexander noted, "Penelope is a knave". So who is a knight and who is a knave? | [
"Penelope",
"Alexander"
] | {
"knight": "knight",
"knave": "knave",
"a_knight": "a knight",
"a_knave": "a knave",
"Knight": "Knight",
"Knave": "Knave"
} | [
true,
false
] | Penelope is a knight, and Alexander is a knave. | (1) Penelope is a knight
(2) Alexander is a knave | Let's think step by step, by considering whether each person is lying and if that leads to contradiction. | [
"Assume Penelope is a knight. No contradiction is found in their claim that Alexander is a knave if and only if Penelope is a knight.",
"Alexander cannot be a knight, because this would contradict the claim of Penelope that Alexander is a knave if and only if Penelope is a knight.",
"Assume Alexander is a knave. No contradiction is found in their false claim that Penelope is a knave."
] | This leads to a feasible solution. | (('<=>', ('lying', 1), ('telling-truth', 0)), ('lying', 0)) | 59 |
A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 2 inhabitants: Isabella, and Emma. "Isabella is a knight and Emma is a knight" - Isabella. In Emma's words: "Isabella is a knight if and only if Isabella is a knave". So who is a knight and who is a knave? | [
"Isabella",
"Emma"
] | {
"knight": "knight",
"knave": "knave",
"a_knight": "a knight",
"a_knave": "a knave",
"Knight": "Knight",
"Knave": "Knave"
} | [
false,
false
] | Isabella is a knave, and Emma is a knave. | (1) Isabella is a knave
(2) Emma is a knave | Let's think step by step, by considering whether each person is lying and if that leads to contradiction. | [
"Assume Isabella is a knight. No contradiction is found in their claim that Isabella is a knight and Emma is a knight.",
"Emma 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.",
"Emma cannot be a knave, because this would contradict the claim of Isabella that Isabella is a knight and Emma is a knight.",
"We have exhausted all possibilities for Emma, so let us go back and reconsider Isabella.",
"Assume Isabella is a knave. No contradiction is found in their false claim that Isabella is a knight and Emma is a knight.",
"Emma 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 Emma is a knave. No contradiction is found in their false claim that Isabella is a knight if and only if Isabella is a knave."
] | This leads to a feasible solution. | (('and', ('telling-truth', 0), ('telling-truth', 1)), ('<=>', ('telling-truth', 0), ('lying', 0))) | 60 |
A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 2 inhabitants: Ethan, and Benjamin. Ethan was heard saying, "If Benjamin is a knight then Ethan is a knight". Benjamin expressed that Ethan is a knave and Ethan is a knight. So who is a knight and who is a knave? | [
"Ethan",
"Benjamin"
] | {
"knight": "knight",
"knave": "knave",
"a_knight": "a knight",
"a_knave": "a knave",
"Knight": "Knight",
"Knave": "Knave"
} | [
true,
false
] | Ethan is a knight, and Benjamin is a knave. | (1) Ethan is a knight
(2) Benjamin is a knave | Let's think step by step, by considering whether each person is lying and if that leads to contradiction. | [
"Assume Ethan is a knight. No contradiction is found in their claim that If Benjamin is a knight then Ethan is a knight.",
"Benjamin cannot be a knight, because this would contradict the claim of their own that Ethan is a knave and Ethan is a knight.",
"Assume Benjamin is a knave. No contradiction is found in their false claim that Ethan is a knave and Ethan is a knight."
] | This leads to a feasible solution. | (('->', ('telling-truth', 1), ('telling-truth', 0)), ('and', ('lying', 0), ('telling-truth', 0))) | 61 |
A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 2 inhabitants: Scarlett, and Charlotte. Scarlett expressed that Scarlett is a knight if and only if Charlotte is a knave. "Scarlett is a knight if and only if Charlotte is a knight" - Charlotte. So who is a knight and who is a knave? | [
"Scarlett",
"Charlotte"
] | {
"knight": "knight",
"knave": "knave",
"a_knight": "a knight",
"a_knave": "a knave",
"Knight": "Knight",
"Knave": "Knave"
} | [
true,
false
] | Scarlett is a knight, and Charlotte is a knave. | (1) Scarlett is a knight
(2) Charlotte is a knave | Let's think step by step, by considering whether each person is lying and if that leads to contradiction. | [
"Assume Scarlett is a knight. No contradiction is found in their claim that Scarlett is a knight if and only if Charlotte is a knave.",
"Charlotte cannot be a knight, because this would contradict the claim of Scarlett that Scarlett is a knight if and only if Charlotte is a knave.",
"Assume Charlotte is a knave. No contradiction is found in their false claim that Scarlett is a knight if and only if Charlotte is a knight."
] | This leads to a feasible solution. | (('<=>', ('telling-truth', 0), ('lying', 1)), ('<=>', ('telling-truth', 0), ('telling-truth', 1))) | 62 |
A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 2 inhabitants: Elizabeth, and Harper. As Elizabeth put it, "Harper is a knight and Elizabeth is a knight". "Elizabeth is not a knight," Harper mentioned. So who is a knight and who is a knave? | [
"Elizabeth",
"Harper"
] | {
"knight": "knight",
"knave": "knave",
"a_knight": "a knight",
"a_knave": "a knave",
"Knight": "Knight",
"Knave": "Knave"
} | [
false,
true
] | Elizabeth is a knave, and Harper is a knight. | (1) Elizabeth is a knave
(2) Harper is a knight | Let's think step by step, by considering whether each person is lying and if that leads to contradiction. | [
"Assume Elizabeth is a knight. No contradiction is found in their claim that Harper is a knight and Elizabeth is a knight.",
"Harper cannot be a knight, because this would contradict the claim of their own that Elizabeth is not a knight.",
"Harper cannot be a knave, because this would contradict the claim of Elizabeth that Harper is a knight and Elizabeth is a knight.",
"We have exhausted all possibilities for Harper, so let us go back and reconsider Elizabeth.",
"Assume Elizabeth is a knave. No contradiction is found in their false claim that Harper is a knight and Elizabeth is a knight.",
"Assume Harper is a knight. No contradiction is found in their claim that Elizabeth is not a knight."
] | This leads to a feasible solution. | (('and', ('telling-truth', 1), ('telling-truth', 0)), ('not', ('telling-truth', 0))) | 63 |
A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 2 inhabitants: Evelyn, and Aiden. According to Evelyn, "Aiden is a knight". Aiden expressed that Aiden is a knight or Evelyn is a knave. So who is a knight and who is a knave? | [
"Evelyn",
"Aiden"
] | {
"knight": "knight",
"knave": "knave",
"a_knight": "a knight",
"a_knave": "a knave",
"Knight": "Knight",
"Knave": "Knave"
} | [
true,
true
] | Evelyn is a knight, and Aiden is a knight. | (1) Evelyn is a knight
(2) Aiden is a knight | Let's think step by step, by considering whether each person is lying and if that leads to contradiction. | [
"Assume Evelyn 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 Aiden is a knight or Evelyn is a knave."
] | This leads to a feasible solution. | (('telling-truth', 1), ('or', ('telling-truth', 1), ('lying', 0))) | 64 |
A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 2 inhabitants: Henry, and Noah. "Noah is a knave and Henry is a knight," Henry claimed. As Noah put it, "Henry is a knave or Henry is a knight". So who is a knight and who is a knave? | [
"Henry",
"Noah"
] | {
"knight": "knight",
"knave": "knave",
"a_knight": "a knight",
"a_knave": "a knave",
"Knight": "Knight",
"Knave": "Knave"
} | [
false,
true
] | Henry is a knave, and Noah is a knight. | (1) Henry is a knave
(2) Noah is a knight | Let's think step by step, by considering whether each person is lying and if that leads to contradiction. | [
"Assume Henry is a knight. No contradiction is found in their claim that Noah is a knave and Henry is a knight.",
"Noah cannot be a knight, because this would contradict the claim of Henry that Noah is a knave and Henry is a knight.",
"Noah cannot be a knave, because this would contradict the false claim of their own that Henry is a knave or Henry is a knight.",
"We have exhausted all possibilities for Noah, so let us go back and reconsider Henry.",
"Assume Henry is a knave. No contradiction is found in their false claim that Noah is a knave and Henry is a knight.",
"Assume Noah is a knight. No contradiction is found in their claim that Henry is a knave or Henry is a knight."
] | This leads to a feasible solution. | (('and', ('lying', 1), ('telling-truth', 0)), ('or', ('lying', 0), ('telling-truth', 0))) | 65 |
A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 2 inhabitants: Jacob, and Aurora. Jacob told you that Aurora is a knave. Aurora was heard saying, "Aurora is a knight or Jacob is a knight". So who is a knight and who is a knave? | [
"Jacob",
"Aurora"
] | {
"knight": "knight",
"knave": "knave",
"a_knight": "a knight",
"a_knave": "a knave",
"Knight": "Knight",
"Knave": "Knave"
} | [
false,
true
] | Jacob is a knave, and Aurora is a knight. | (1) Jacob is a knave
(2) Aurora is a knight | Let's think step by step, by considering whether each person is lying and if that leads to contradiction. | [
"Assume Jacob 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 Jacob that Aurora is a knave.",
"Aurora cannot be a knave, because this would contradict the false claim of their own that Aurora is a knight or Jacob is a knight.",
"We have exhausted all possibilities for Aurora, so let us go back and reconsider Jacob.",
"Assume Jacob 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 Jacob is a knight."
] | This leads to a feasible solution. | (('lying', 1), ('or', ('telling-truth', 1), ('telling-truth', 0))) | 66 |
A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 2 inhabitants: Liam, and Ava. In a statement by Liam: "If Ava is a knight then Ava is a knave". "If Ava is a knight then Liam is a knave" - Ava. So who is a knight and who is a knave? | [
"Liam",
"Ava"
] | {
"knight": "knight",
"knave": "knave",
"a_knight": "a knight",
"a_knave": "a knave",
"Knight": "Knight",
"Knave": "Knave"
} | [
false,
true
] | Liam is a knave, and Ava is a knight. | (1) Liam is a knave
(2) Ava is a knight | Let's think step by step, by considering whether each person is lying and if that leads to contradiction. | [
"Assume Liam 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 Liam that If Ava is a knight then Ava is a knave.",
"Ava cannot be a knave, because this would contradict the false claim of their own that If Ava is a knight then Liam is a knave.",
"We have exhausted all possibilities for Ava, so let us go back and reconsider Liam.",
"Assume Liam is a knave. No contradiction is found in their false claim that If Ava is a knight then Ava is a knave.",
"Assume Ava is a knight. No contradiction is found in their claim that If Ava is a knight then Liam is a knave."
] | This leads to a feasible solution. | (('->', ('telling-truth', 1), ('lying', 1)), ('->', ('telling-truth', 1), ('lying', 0))) | 67 |
A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 2 inhabitants: Elizabeth, and Jacob. Elizabeth asserted: "Jacob is a knave". Jacob told you that Jacob is a knight if and only if Elizabeth is a knight. So who is a knight and who is a knave? | [
"Elizabeth",
"Jacob"
] | {
"knight": "knight",
"knave": "knave",
"a_knight": "a knight",
"a_knave": "a knave",
"Knight": "Knight",
"Knave": "Knave"
} | [
true,
false
] | Elizabeth is a knight, and Jacob is a knave. | (1) Elizabeth is a knight
(2) Jacob is a knave | Let's think step by step, by considering whether each person is lying and if that leads to contradiction. | [
"Assume Elizabeth is a knight. No contradiction is found in their claim that Jacob is a knave.",
"Jacob cannot be a knight, because this would contradict the claim of Elizabeth that Jacob is a knave.",
"Assume Jacob is a knave. No contradiction is found in their false claim that Jacob is a knight if and only if Elizabeth is a knight."
] | This leads to a feasible solution. | (('lying', 1), ('<=>', ('telling-truth', 1), ('telling-truth', 0))) | 68 |
A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 2 inhabitants: Avery, and Jack. Avery said, "Avery is a knight if and only if Jack is a knight." As Jack put it, "If Avery is a knave then Avery is a knight". So who is a knight and who is a knave? | [
"Avery",
"Jack"
] | {
"knight": "knight",
"knave": "knave",
"a_knight": "a knight",
"a_knave": "a knave",
"Knight": "Knight",
"Knave": "Knave"
} | [
true,
true
] | Avery is a knight, and Jack is a knight. | (1) Avery is a knight
(2) Jack is a knight | Let's think step by step, by considering whether each person is lying and if that leads to contradiction. | [
"Assume Avery is a knight. No contradiction is found in their claim that Avery is a knight if and only if Jack is a knight.",
"Assume Jack is a knight. No contradiction is found in their claim that If Avery is a knave then Avery is a knight."
] | This leads to a feasible solution. | (('<=>', ('telling-truth', 0), ('telling-truth', 1)), ('->', ('lying', 0), ('telling-truth', 0))) | 69 |
A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 2 inhabitants: Zoey, and James. Zoey noted, "James is not a knight". James was heard saying, "Zoey is a knight and Zoey is a knave". So who is a knight and who is a knave? | [
"Zoey",
"James"
] | {
"knight": "knight",
"knave": "knave",
"a_knight": "a knight",
"a_knave": "a knave",
"Knight": "Knight",
"Knave": "Knave"
} | [
true,
false
] | Zoey is a knight, and James is a knave. | (1) Zoey is a knight
(2) James is a knave | Let's think step by step, by considering whether each person is lying and if that leads to contradiction. | [
"Assume Zoey 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 Zoey that James is not a knight.",
"Assume James is a knave. No contradiction is found in their false claim that Zoey is a knight and Zoey is a knave."
] | This leads to a feasible solution. | (('not', ('telling-truth', 1)), ('and', ('telling-truth', 0), ('lying', 0))) | 70 |
A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 2 inhabitants: Ella, and Penelope. In a statement by Ella: "Penelope is a knight if and only if Penelope is a knave". According to Penelope, "If Ella is a knight then Ella is a knave". So who is a knight and who is a knave? | [
"Ella",
"Penelope"
] | {
"knight": "knight",
"knave": "knave",
"a_knight": "a knight",
"a_knave": "a knave",
"Knight": "Knight",
"Knave": "Knave"
} | [
false,
true
] | Ella is a knave, and Penelope is a knight. | (1) Ella is a knave
(2) Penelope is a knight | Let's think step by step, by considering whether each person is lying and if that leads to contradiction. | [
"Ella 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 Ella is a knave. No contradiction is found in their false claim that Penelope is a knight if and only if Penelope is a knave.",
"Assume Penelope is a knight. No contradiction is found in their claim that If Ella is a knight then Ella is a knave."
] | This leads to a feasible solution. | (('<=>', ('telling-truth', 1), ('lying', 1)), ('->', ('telling-truth', 0), ('lying', 0))) | 71 |
A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 2 inhabitants: Oliver, and Ava. According to Oliver, "If Oliver is a knight then Ava is a knave". Ava commented, "Oliver is a knave if and only if Oliver is a knight". So who is a knight and who is a knave? | [
"Oliver",
"Ava"
] | {
"knight": "knight",
"knave": "knave",
"a_knight": "a knight",
"a_knave": "a knave",
"Knight": "Knight",
"Knave": "Knave"
} | [
true,
false
] | Oliver is a knight, and Ava is a knave. | (1) Oliver is a knight
(2) Ava is a knave | Let's think step by step, by considering whether each person is lying and if that leads to contradiction. | [
"Assume Oliver is a knight. No contradiction is found in their claim that If Oliver is a knight then Ava is a knave.",
"Ava cannot be a knight, because this would contradict the claim of Oliver that If Oliver is a knight then Ava is a knave.",
"Assume Ava is a knave. No contradiction is found in their false claim that Oliver is a knave if and only if Oliver is a knight."
] | This leads to a feasible solution. | (('->', ('telling-truth', 0), ('lying', 1)), ('<=>', ('lying', 0), ('telling-truth', 0))) | 72 |
A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 2 inhabitants: Isabella, and Owen. Isabella asserted: "Owen is a knight if and only if Isabella is a knight". "Isabella is a knave and Owen is a knight," Owen claimed. So who is a knight and who is a knave? | [
"Isabella",
"Owen"
] | {
"knight": "knight",
"knave": "knave",
"a_knight": "a knight",
"a_knave": "a knave",
"Knight": "Knight",
"Knave": "Knave"
} | [
false,
true
] | Isabella is a knave, and Owen is a knight. | (1) Isabella is a knave
(2) Owen is a knight | Let's think step by step, by considering whether each person is lying and if that leads to contradiction. | [
"Assume Isabella is a knight. No contradiction is found in their claim that Owen is a knight if and only if Isabella is a knight.",
"Owen cannot be a knight, because this would contradict the claim of their own that Isabella is a knave and Owen is a knight.",
"Owen cannot be a knave, because this would contradict the claim of Isabella that Owen is a knight if and only if Isabella 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 knight if and only if Isabella is a knight.",
"Assume Owen is a knight. No contradiction is found in their claim that Isabella is a knave and Owen is a knight."
] | This leads to a feasible solution. | (('<=>', ('telling-truth', 1), ('telling-truth', 0)), ('and', ('lying', 0), ('telling-truth', 1))) | 73 |
A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 2 inhabitants: Ella, and Lily. Ella said that Lily is not a knight. In a statement by Lily: "Ella is a knave and Ella is a knight". So who is a knight and who is a knave? | [
"Ella",
"Lily"
] | {
"knight": "knight",
"knave": "knave",
"a_knight": "a knight",
"a_knave": "a knave",
"Knight": "Knight",
"Knave": "Knave"
} | [
true,
false
] | Ella is a knight, and Lily is a knave. | (1) Ella is a knight
(2) Lily is a knave | Let's think step by step, by considering whether each person is lying and if that leads to contradiction. | [
"Assume Ella 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 Ella that Lily is not a knight.",
"Assume Lily is a knave. No contradiction is found in their false claim that Ella is a knave and Ella is a knight."
] | This leads to a feasible solution. | (('not', ('telling-truth', 1)), ('and', ('lying', 0), ('telling-truth', 0))) | 74 |
A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 2 inhabitants: Mason, and Jack. In a statement by Mason: "If Mason is a knight then Jack is a knave". According to Jack, "Mason is a knight if and only if Mason is a knave". So who is a knight and who is a knave? | [
"Mason",
"Jack"
] | {
"knight": "knight",
"knave": "knave",
"a_knight": "a knight",
"a_knave": "a knave",
"Knight": "Knight",
"Knave": "Knave"
} | [
true,
false
] | Mason is a knight, and Jack is a knave. | (1) Mason is a knight
(2) Jack is a knave | Let's think step by step, by considering whether each person is lying and if that leads to contradiction. | [
"Assume Mason is a knight. No contradiction is found in their claim that If Mason is a knight then Jack is a knave.",
"Jack cannot be a knight, because this would contradict the claim of Mason that If Mason is a knight then Jack is a knave.",
"Assume Jack is a knave. No contradiction is found in their false claim that Mason is a knight if and only if Mason is a knave."
] | This leads to a feasible solution. | (('->', ('telling-truth', 0), ('lying', 1)), ('<=>', ('telling-truth', 0), ('lying', 0))) | 75 |
A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 2 inhabitants: Isabella, and Elizabeth. Isabella commented, "Elizabeth is a knight if and only if Isabella is a knight". Elizabeth remarked, "Isabella is a knave". So who is a knight and who is a knave? | [
"Isabella",
"Elizabeth"
] | {
"knight": "knight",
"knave": "knave",
"a_knight": "a knight",
"a_knave": "a knave",
"Knight": "Knight",
"Knave": "Knave"
} | [
false,
true
] | Isabella is a knave, and Elizabeth is a knight. | (1) Isabella is a knave
(2) Elizabeth is a knight | Let's think step by step, by considering whether each person is lying and if that leads to contradiction. | [
"Assume Isabella is a knight. No contradiction is found in their claim that Elizabeth is a knight if and only if Isabella is a knight.",
"Elizabeth cannot be a knight, because this would contradict the claim of their own that Isabella is a knave.",
"Elizabeth cannot be a knave, because this would contradict the claim of Isabella that Elizabeth is a knight if and only if Isabella 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 a knight if and only if Isabella is a knight.",
"Assume Elizabeth is a knight. No contradiction is found in their claim that Isabella is a knave."
] | This leads to a feasible solution. | (('<=>', ('telling-truth', 1), ('telling-truth', 0)), ('lying', 0)) | 76 |
A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 2 inhabitants: Chloe, and Oliver. "Oliver is a knight or Oliver is a knave" - Chloe. Oliver said that Chloe is a knight. So who is a knight and who is a knave? | [
"Chloe",
"Oliver"
] | {
"knight": "knight",
"knave": "knave",
"a_knight": "a knight",
"a_knave": "a knave",
"Knight": "Knight",
"Knave": "Knave"
} | [
true,
true
] | Chloe is a knight, and Oliver is a knight. | (1) Chloe is a knight
(2) Oliver is a knight | Let's think step by step, by considering whether each person is lying and if that leads to contradiction. | [
"Assume Chloe 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 Chloe is a knight."
] | This leads to a feasible solution. | (('or', ('telling-truth', 1), ('lying', 1)), ('telling-truth', 0)) | 77 |
A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 2 inhabitants: William, and Liam. William said that Liam is a knave. Liam commented, "William is a knave and William is a knight". So who is a knight and who is a knave? | [
"William",
"Liam"
] | {
"knight": "knight",
"knave": "knave",
"a_knight": "a knight",
"a_knave": "a knave",
"Knight": "Knight",
"Knave": "Knave"
} | [
true,
false
] | William is a knight, and Liam is a knave. | (1) William is a knight
(2) Liam is a knave | Let's think step by step, by considering whether each person is lying and if that leads to contradiction. | [
"Assume William 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 William that Liam is a knave.",
"Assume Liam is a knave. No contradiction is found in their false claim that William is a knave and William is a knight."
] | This leads to a feasible solution. | (('lying', 1), ('and', ('lying', 0), ('telling-truth', 0))) | 78 |
A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 2 inhabitants: Henry, and Jack. Henry said that Jack is a knave or Henry is a knight. Jack noted, "Henry is a knave if and only if Henry is a knight". So who is a knight and who is a knave? | [
"Henry",
"Jack"
] | {
"knight": "knight",
"knave": "knave",
"a_knight": "a knight",
"a_knave": "a knave",
"Knight": "Knight",
"Knave": "Knave"
} | [
true,
false
] | Henry is a knight, and Jack is a knave. | (1) Henry is a knight
(2) Jack is a knave | Let's think step by step, by considering whether each person is lying and if that leads to contradiction. | [
"Assume Henry is a knight. No contradiction is found in their claim that Jack is a knave or Henry is a knight.",
"Jack cannot be a knight, because this would contradict the claim of their own that Henry is a knave if and only if Henry is a knight.",
"Assume Jack is a knave. No contradiction is found in their false claim that Henry is a knave if and only if Henry is a knight."
] | This leads to a feasible solution. | (('or', ('lying', 1), ('telling-truth', 0)), ('<=>', ('lying', 0), ('telling-truth', 0))) | 79 |
A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 2 inhabitants: Benjamin, and Olivia. In a statement by Benjamin: "Olivia is a knight". In a statement by Olivia: "Benjamin is a knight and Benjamin is a knave". So who is a knight and who is a knave? | [
"Benjamin",
"Olivia"
] | {
"knight": "knight",
"knave": "knave",
"a_knight": "a knight",
"a_knave": "a knave",
"Knight": "Knight",
"Knave": "Knave"
} | [
false,
false
] | Benjamin is a knave, and Olivia is a knave. | (1) Benjamin is a knave
(2) Olivia is a knave | Let's think step by step, by considering whether each person is lying and if that leads to contradiction. | [
"Assume Benjamin is a knight. No contradiction is found in their claim that Olivia is a knight.",
"Olivia cannot be a knight, because this would contradict the claim of their own that Benjamin is a knight and Benjamin is a knave.",
"Olivia cannot be a knave, because this would contradict the claim of Benjamin that Olivia is a knight.",
"We have exhausted all possibilities for Olivia, so let us go back and reconsider Benjamin.",
"Assume Benjamin is a knave. No contradiction is found in their false claim that Olivia is a knight.",
"Olivia cannot be a knight, because this would contradict the false claim of Benjamin that Olivia is a knight.",
"Assume Olivia is a knave. No contradiction is found in their false claim that Benjamin is a knight and Benjamin is a knave."
] | This leads to a feasible solution. | (('telling-truth', 1), ('and', ('telling-truth', 0), ('lying', 0))) | 80 |
A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 2 inhabitants: Victoria, and Evelyn. As Victoria put it, "Evelyn is a knight if and only if Victoria is a knight". Evelyn commented, "Victoria is not a knave". So who is a knight and who is a knave? | [
"Victoria",
"Evelyn"
] | {
"knight": "knight",
"knave": "knave",
"a_knight": "a knight",
"a_knave": "a knave",
"Knight": "Knight",
"Knave": "Knave"
} | [
true,
true
] | Victoria is a knight, and Evelyn is a knight. | (1) Victoria is a knight
(2) Evelyn is a knight | Let's think step by step, by considering whether each person is lying and if that leads to contradiction. | [
"Assume Victoria is a knight. No contradiction is found in their claim that Evelyn is a knight if and only if Victoria is a knight.",
"Assume Evelyn is a knight. No contradiction is found in their claim that Victoria is not a knave."
] | This leads to a feasible solution. | (('<=>', ('telling-truth', 1), ('telling-truth', 0)), ('not', ('lying', 0))) | 81 |
A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 2 inhabitants: Samuel, and Sofia. As Samuel put it, "If Samuel is a knight then Sofia is a knight". Sofia remarked, "If Samuel is a knight then Sofia is a knight". So who is a knight and who is a knave? | [
"Samuel",
"Sofia"
] | {
"knight": "knight",
"knave": "knave",
"a_knight": "a knight",
"a_knave": "a knave",
"Knight": "Knight",
"Knave": "Knave"
} | [
true,
true
] | Samuel is a knight, and Sofia is a knight. | (1) Samuel is a knight
(2) Sofia is a knight | Let's think step by step, by considering whether each person is lying and if that leads to contradiction. | [
"Assume Samuel is a knight. No contradiction is found in their claim that If Samuel is a knight then Sofia is a knight.",
"Assume Sofia is a knight. No contradiction is found in their claim that If Samuel is a knight then Sofia is a knight."
] | This leads to a feasible solution. | (('->', ('telling-truth', 0), ('telling-truth', 1)), ('->', ('telling-truth', 0), ('telling-truth', 1))) | 82 |
A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 2 inhabitants: Avery, and Logan. Avery told you that If Logan is a knight then Logan is a knave. As Logan put it, "Avery is a knight if and only if Avery is a knave". So who is a knight and who is a knave? | [
"Avery",
"Logan"
] | {
"knight": "knight",
"knave": "knave",
"a_knight": "a knight",
"a_knave": "a knave",
"Knight": "Knight",
"Knave": "Knave"
} | [
true,
false
] | Avery is a knight, and Logan is a knave. | (1) Avery is a knight
(2) Logan is a knave | Let's think step by step, by considering whether each person is lying and if that leads to contradiction. | [
"Assume Avery is a knight. No contradiction is found in their claim that If Logan is a knight then Logan is a knave.",
"Logan cannot be a knight, because this would contradict the claim of Avery that If Logan is a knight then Logan is a knave.",
"Assume Logan is a knave. No contradiction is found in their false claim that Avery is a knight if and only if Avery is a knave."
] | This leads to a feasible solution. | (('->', ('telling-truth', 1), ('lying', 1)), ('<=>', ('telling-truth', 0), ('lying', 0))) | 83 |
A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 2 inhabitants: David, and William. David was heard saying, "William is not a knave". William expressed that David is a knight or David is a knave. So who is a knight and who is a knave? | [
"David",
"William"
] | {
"knight": "knight",
"knave": "knave",
"a_knight": "a knight",
"a_knave": "a knave",
"Knight": "Knight",
"Knave": "Knave"
} | [
true,
true
] | David is a knight, and William is a knight. | (1) David is a knight
(2) William is a knight | Let's think step by step, by considering whether each person is lying and if that leads to contradiction. | [
"Assume David 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 David is a knight or David is a knave."
] | This leads to a feasible solution. | (('not', ('lying', 1)), ('or', ('telling-truth', 0), ('lying', 0))) | 84 |
A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 2 inhabitants: Ethan, and Emily. As Ethan put it, "Emily is a knave and Emily is a knight". Emily commented, "If Emily is a knight then Ethan is a knave". So who is a knight and who is a knave? | [
"Ethan",
"Emily"
] | {
"knight": "knight",
"knave": "knave",
"a_knight": "a knight",
"a_knave": "a knave",
"Knight": "Knight",
"Knave": "Knave"
} | [
false,
true
] | Ethan is a knave, and Emily is a knight. | (1) Ethan is a knave
(2) Emily is a knight | Let's think step by step, by considering whether each person is lying and if that leads to contradiction. | [
"Ethan cannot be a knight, because this would contradict the claim of their own that Emily is a knave and Emily is a knight.",
"Assume Ethan is a knave. No contradiction is found in their false claim that Emily is a knave and Emily is a knight.",
"Assume Emily is a knight. No contradiction is found in their claim that If Emily is a knight then Ethan is a knave."
] | This leads to a feasible solution. | (('and', ('lying', 1), ('telling-truth', 1)), ('->', ('telling-truth', 1), ('lying', 0))) | 85 |
A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 2 inhabitants: Michael, and Benjamin. As Michael put it, "Benjamin is a knight and Michael is a knight". According to Benjamin, "If Benjamin is a knight then Michael is a knight". So who is a knight and who is a knave? | [
"Michael",
"Benjamin"
] | {
"knight": "knight",
"knave": "knave",
"a_knight": "a knight",
"a_knave": "a knave",
"Knight": "Knight",
"Knave": "Knave"
} | [
true,
true
] | Michael is a knight, and Benjamin is a knight. | (1) Michael is a knight
(2) Benjamin is a knight | Let's think step by step, by considering whether each person is lying and if that leads to contradiction. | [
"Assume Michael is a knight. No contradiction is found in their claim that Benjamin is a knight and Michael is a knight.",
"Assume Benjamin is a knight. No contradiction is found in their claim that If Benjamin is a knight then Michael is a knight."
] | This leads to a feasible solution. | (('and', ('telling-truth', 1), ('telling-truth', 0)), ('->', ('telling-truth', 1), ('telling-truth', 0))) | 86 |
A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 2 inhabitants: Emily, and Luke. "If Luke is a knave then Luke is a knight," Emily claimed. Luke was heard saying, "Luke is a knight if and only if Emily is a knave". So who is a knight and who is a knave? | [
"Emily",
"Luke"
] | {
"knight": "knight",
"knave": "knave",
"a_knight": "a knight",
"a_knave": "a knave",
"Knight": "Knight",
"Knave": "Knave"
} | [
false,
false
] | Emily is a knave, and Luke is a knave. | (1) Emily is a knave
(2) Luke is a knave | Let's think step by step, by considering whether each person is lying and if that leads to contradiction. | [
"Assume Emily is a knight. No contradiction is found in their claim that If Luke is a knave then Luke is a knight.",
"Luke cannot be a knight, because this would contradict the claim of their own that Luke is a knight if and only if Emily is a knave.",
"Luke cannot be a knave, because this would contradict the claim of Emily that If Luke is a knave then Luke is a knight.",
"We have exhausted all possibilities for Luke, so let us go back and reconsider Emily.",
"Assume Emily is a knave. No contradiction is found in their false claim that If Luke is a knave then Luke is a knight.",
"Luke cannot be a knight, because this would contradict the false claim of Emily that If Luke is a knave then Luke 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 Emily is a knave."
] | This leads to a feasible solution. | (('->', ('lying', 1), ('telling-truth', 1)), ('<=>', ('telling-truth', 1), ('lying', 0))) | 87 |
A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 2 inhabitants: Amelia, and Jacob. Amelia commented, "If Jacob is a knight then Amelia is a knight". "Amelia is a knight if and only if Amelia is a knave," Jacob declared. So who is a knight and who is a knave? | [
"Amelia",
"Jacob"
] | {
"knight": "knight",
"knave": "knave",
"a_knight": "a knight",
"a_knave": "a knave",
"Knight": "Knight",
"Knave": "Knave"
} | [
true,
false
] | Amelia is a knight, and Jacob is a knave. | (1) Amelia is a knight
(2) Jacob is a knave | Let's think step by step, by considering whether each person is lying and if that leads to contradiction. | [
"Assume Amelia is a knight. No contradiction is found in their claim that If Jacob is a knight then Amelia is a knight.",
"Jacob cannot be a knight, because this would contradict the claim of their own that Amelia is a knight if and only if Amelia is a knave.",
"Assume Jacob is a knave. No contradiction is found in their false claim that Amelia is a knight if and only if Amelia is a knave."
] | This leads to a feasible solution. | (('->', ('telling-truth', 1), ('telling-truth', 0)), ('<=>', ('telling-truth', 0), ('lying', 0))) | 88 |
A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 2 inhabitants: Aiden, and Emma. Aiden noted, "If Aiden is a knight then Emma is a knave". "Emma is a knight," Emma mentioned. So who is a knight and who is a knave? | [
"Aiden",
"Emma"
] | {
"knight": "knight",
"knave": "knave",
"a_knight": "a knight",
"a_knave": "a knave",
"Knight": "Knight",
"Knave": "Knave"
} | [
true,
false
] | Aiden is a knight, and Emma is a knave. | (1) Aiden is a knight
(2) Emma is a knave | Let's think step by step, by considering whether each person is lying and if that leads to contradiction. | [
"Assume Aiden is a knight. No contradiction is found in their claim that If Aiden is a knight then Emma is a knave.",
"Emma cannot be a knight, because this would contradict the claim of Aiden that If Aiden is a knight then Emma is a knave.",
"Assume Emma is a knave. No contradiction is found in their false claim that Emma is a knight."
] | This leads to a feasible solution. | (('->', ('telling-truth', 0), ('lying', 1)), ('telling-truth', 1)) | 89 |
A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 2 inhabitants: Olivia, and James. Olivia said, "Olivia is a knight or James is a knight." James was heard saying, "Olivia is a knave if and only if James is a knight". So who is a knight and who is a knave? | [
"Olivia",
"James"
] | {
"knight": "knight",
"knave": "knave",
"a_knight": "a knight",
"a_knave": "a knave",
"Knight": "Knight",
"Knave": "Knave"
} | [
false,
false
] | Olivia is a knave, and James is a knave. | (1) Olivia is a knave
(2) James is a knave | Let's think step by step, by considering whether each person is lying and if that leads to contradiction. | [
"Assume Olivia is a knight. No contradiction is found in their claim that Olivia is a knight or James is a knight.",
"James cannot be a knight, because this would contradict the claim of their own that Olivia 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 Olivia is a knave if and only if James is a knight.",
"We have exhausted all possibilities for James, so let us go back and reconsider Olivia.",
"Assume Olivia is a knave. No contradiction is found in their false claim that Olivia is a knight or James is a knight.",
"James cannot be a knight, because this would contradict the false claim of Olivia that Olivia is a knight or James is a knight.",
"Assume James is a knave. No contradiction is found in their false claim that Olivia is a knave if and only if James is a knight."
] | This leads to a feasible solution. | (('or', ('telling-truth', 0), ('telling-truth', 1)), ('<=>', ('lying', 0), ('telling-truth', 1))) | 90 |
A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 2 inhabitants: Samuel, and Penelope. Samuel remarked, "Penelope is a knight or Penelope is a knave". Penelope said that Samuel is not a knight. So who is a knight and who is a knave? | [
"Samuel",
"Penelope"
] | {
"knight": "knight",
"knave": "knave",
"a_knight": "a knight",
"a_knave": "a knave",
"Knight": "Knight",
"Knave": "Knave"
} | [
true,
false
] | Samuel is a knight, and Penelope is a knave. | (1) Samuel is a knight
(2) Penelope is a knave | Let's think step by step, by considering whether each person is lying and if that leads to contradiction. | [
"Assume Samuel 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 Samuel is not a knight.",
"Assume Penelope is a knave. No contradiction is found in their false claim that Samuel is not a knight."
] | This leads to a feasible solution. | (('or', ('telling-truth', 1), ('lying', 1)), ('not', ('telling-truth', 0))) | 91 |
A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 2 inhabitants: Ella, and Mason. Ella noted, "If Mason is a knight then Mason is a knave". Mason asserted: "Ella is a knight or Ella is a knave". So who is a knight and who is a knave? | [
"Ella",
"Mason"
] | {
"knight": "knight",
"knave": "knave",
"a_knight": "a knight",
"a_knave": "a knave",
"Knight": "Knight",
"Knave": "Knave"
} | [
false,
true
] | Ella is a knave, and Mason is a knight. | (1) Ella is a knave
(2) Mason is a knight | Let's think step by step, by considering whether each person is lying and if that leads to contradiction. | [
"Assume Ella 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 Ella 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 Ella is a knight or Ella is a knave.",
"We have exhausted all possibilities for Mason, so let us go back and reconsider Ella.",
"Assume Ella 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 Ella is a knight or Ella is a knave."
] | This leads to a feasible solution. | (('->', ('telling-truth', 1), ('lying', 1)), ('or', ('telling-truth', 0), ('lying', 0))) | 92 |
A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 2 inhabitants: Olivia, and Elizabeth. Olivia asserted: "Elizabeth is a knave if and only if Olivia is a knight". Elizabeth said that Elizabeth is a knight if and only if Olivia is a knave. So who is a knight and who is a knave? | [
"Olivia",
"Elizabeth"
] | {
"knight": "knight",
"knave": "knave",
"a_knight": "a knight",
"a_knave": "a knave",
"Knight": "Knight",
"Knave": "Knave"
} | [
false,
false
] | Olivia is a knave, and Elizabeth is a knave. | (1) Olivia is a knave
(2) Elizabeth is a knave | Let's think step by step, by considering whether each person is lying and if that leads to contradiction. | [
"Assume Olivia is a knight. No contradiction is found in their claim that Elizabeth is a knave if and only if Olivia is a knight.",
"Elizabeth cannot be a knight, because this would contradict the claim of Olivia that Elizabeth is a knave if and only if Olivia is a knight.",
"Elizabeth cannot be a knave, because this would contradict the false claim of their own that Elizabeth is a knight if and only if Olivia is a knave.",
"We have exhausted all possibilities for Elizabeth, so let us go back and reconsider Olivia.",
"Assume Olivia is a knave. No contradiction is found in their false claim that Elizabeth is a knave if and only if Olivia is a knight.",
"Elizabeth cannot be a knight, because this would contradict the false claim of Olivia that Elizabeth is a knave if and only if Olivia is a knight.",
"Assume Elizabeth is a knave. No contradiction is found in their false claim that Elizabeth is a knight if and only if Olivia is a knave."
] | This leads to a feasible solution. | (('<=>', ('lying', 1), ('telling-truth', 0)), ('<=>', ('telling-truth', 1), ('lying', 0))) | 93 |
A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 2 inhabitants: Riley, and Abigail. Riley expressed that Abigail is a knave if and only if Abigail is a knight. Abigail noted, "Riley is a knave". So who is a knight and who is a knave? | [
"Riley",
"Abigail"
] | {
"knight": "knight",
"knave": "knave",
"a_knight": "a knight",
"a_knave": "a knave",
"Knight": "Knight",
"Knave": "Knave"
} | [
false,
true
] | Riley is a knave, and Abigail is a knight. | (1) Riley is a knave
(2) Abigail is a knight | Let's think step by step, by considering whether each person is lying and if that leads to contradiction. | [
"Riley 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 Riley 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 Riley is a knave."
] | This leads to a feasible solution. | (('<=>', ('lying', 1), ('telling-truth', 1)), ('lying', 0)) | 94 |
A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 2 inhabitants: Abigail, and Emma. As Abigail put it, "Abigail is a knight or Emma is a knight". Emma asserted: "Abigail is not a knight". So who is a knight and who is a knave? | [
"Abigail",
"Emma"
] | {
"knight": "knight",
"knave": "knave",
"a_knight": "a knight",
"a_knave": "a knave",
"Knight": "Knight",
"Knave": "Knave"
} | [
true,
false
] | Abigail is a knight, and Emma is a knave. | (1) Abigail is a knight
(2) Emma is a knave | Let's think step by step, by considering whether each person is lying and if that leads to contradiction. | [
"Assume Abigail is a knight. No contradiction is found in their claim that Abigail is a knight or Emma is a knight.",
"Emma cannot be a knight, because this would contradict the claim of their own that Abigail is not a knight.",
"Assume Emma is a knave. No contradiction is found in their false claim that Abigail is not a knight."
] | This leads to a feasible solution. | (('or', ('telling-truth', 0), ('telling-truth', 1)), ('not', ('telling-truth', 0))) | 95 |
A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 2 inhabitants: Avery, and Ava. In Avery's words: "If Ava is a knight then Ava is a knave". Ava commented, "Ava is a knight if and only if Avery is a knave". So who is a knight and who is a knave? | [
"Avery",
"Ava"
] | {
"knight": "knight",
"knave": "knave",
"a_knight": "a knight",
"a_knave": "a knave",
"Knight": "Knight",
"Knave": "Knave"
} | [
false,
true
] | Avery is a knave, and Ava is a knight. | (1) Avery is a knave
(2) Ava is a knight | Let's think step by step, by considering whether each person is lying and if that leads to contradiction. | [
"Assume Avery 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 Avery that If Ava is a knight then Ava is a knave.",
"Ava cannot be a knave, because this would contradict the false claim of their own that Ava is a knight if and only if Avery is a knave.",
"We have exhausted all possibilities for Ava, so let us go back and reconsider Avery.",
"Assume Avery is a knave. No contradiction is found in their false claim that If Ava is a knight then Ava is a knave.",
"Assume Ava is a knight. No contradiction is found in their claim that Ava is a knight if and only if Avery is a knave."
] | This leads to a feasible solution. | (('->', ('telling-truth', 1), ('lying', 1)), ('<=>', ('telling-truth', 1), ('lying', 0))) | 96 |
A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 2 inhabitants: Aiden, and Lucas. Aiden said that Lucas is a knight and Aiden is a knight. "Aiden is a knight and Aiden is a knave," Lucas claimed. So who is a knight and who is a knave? | [
"Aiden",
"Lucas"
] | {
"knight": "knight",
"knave": "knave",
"a_knight": "a knight",
"a_knave": "a knave",
"Knight": "Knight",
"Knave": "Knave"
} | [
false,
false
] | Aiden is a knave, and Lucas is a knave. | (1) Aiden is a knave
(2) Lucas is a knave | Let's think step by step, by considering whether each person is lying and if that leads to contradiction. | [
"Assume Aiden is a knight. No contradiction is found in their claim that Lucas is a knight and Aiden is a knight.",
"Lucas cannot be a knight, because this would contradict the claim of their own that Aiden is a knight and Aiden is a knave.",
"Lucas cannot be a knave, because this would contradict the claim of Aiden that Lucas is a knight and Aiden is a knight.",
"We have exhausted all possibilities for Lucas, so let us go back and reconsider Aiden.",
"Assume Aiden is a knave. No contradiction is found in their false claim that Lucas is a knight and Aiden is a knight.",
"Lucas cannot be a knight, because this would contradict the claim of their own that Aiden is a knight and Aiden is a knave.",
"Assume Lucas is a knave. No contradiction is found in their false claim that Aiden is a knight and Aiden is a knave."
] | This leads to a feasible solution. | (('and', ('telling-truth', 1), ('telling-truth', 0)), ('and', ('telling-truth', 0), ('lying', 0))) | 97 |
A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 2 inhabitants: Zoey, and Isabella. As Zoey put it, "Isabella is a knight if and only if Isabella is a knave". Isabella remarked, "Zoey is a knight if and only if Zoey is a knave". So who is a knight and who is a knave? | [
"Zoey",
"Isabella"
] | {
"knight": "knight",
"knave": "knave",
"a_knight": "a knight",
"a_knave": "a knave",
"Knight": "Knight",
"Knave": "Knave"
} | [
false,
false
] | Zoey is a knave, and Isabella is a knave. | (1) Zoey is a knave
(2) Isabella is a knave | Let's think step by step, by considering whether each person is lying and if that leads to contradiction. | [
"Zoey 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 Zoey 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 Zoey is a knight if and only if Zoey is a knave.",
"Assume Isabella is a knave. No contradiction is found in their false claim that Zoey is a knight if and only if Zoey is a knave."
] | This leads to a feasible solution. | (('<=>', ('telling-truth', 1), ('lying', 1)), ('<=>', ('telling-truth', 0), ('lying', 0))) | 98 |
A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 2 inhabitants: Henry, and Abigail. "Abigail is a knave" - Henry. According to Abigail, "Abigail is a knight if and only if Henry is a knave". So who is a knight and who is a knave? | [
"Henry",
"Abigail"
] | {
"knight": "knight",
"knave": "knave",
"a_knight": "a knight",
"a_knave": "a knave",
"Knight": "Knight",
"Knave": "Knave"
} | [
false,
true
] | Henry is a knave, and Abigail is a knight. | (1) Henry is a knave
(2) Abigail is a knight | Let's think step by step, by considering whether each person is lying and if that leads to contradiction. | [
"Assume Henry 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 Henry that Abigail is a knave.",
"Abigail cannot be a knave, because this would contradict the false claim of their own that Abigail is a knight if and only if Henry is a knave.",
"We have exhausted all possibilities for Abigail, so let us go back and reconsider Henry.",
"Assume Henry is a knave. No contradiction is found in their false claim that Abigail is a knave.",
"Assume Abigail is a knight. No contradiction is found in their claim that Abigail is a knight if and only if Henry is a knave."
] | This leads to a feasible solution. | (('lying', 1), ('<=>', ('telling-truth', 1), ('lying', 0))) | 99 |
📘 knights-and-knaves Dataset [Project Page]
The knights-and-knaves dataset serves as a logical reasoning benchmark to evaluate the reasoning capabilities of LLMs.
🚀🚀 Check out the perturbed knights-and-knaves dataset to evaluate the memorization of LLMs in reasoning.
Loading the dataset
To load the dataset:
from datasets import load_dataset
data_subject = load_dataset('K-and-K/knights-and-knaves','test',split="2ppl")
- Available subset:
test,train. - Available split:
2ppl,3ppl,4ppl,5ppl,6ppl,7ppl,8ppl.
🛠️ Codebase
To evaluate LLMs on our datasets, visit our GitHub repository.
⭐ Citing our Work
If you find our codebase and datasets beneficial, kindly cite our work:
@article{xie2024memorization,
title={On Memorization of Large Language Models in Logical Reasoning},
author={Chulin Xie and Yangsibo Huang and Chiyuan Zhang and Da Yu and Xinyun Chen and Bill Yuchen Lin and Bo Li and Badih Ghazi and Ravi Kumar},
year={2024},
eprint={2410.23123},
archivePrefix={arXiv},
primaryClass={cs.CL},
url={https://arxiv.org/abs/2410.23123},
}
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