quiz stringclasses 10
values | names listlengths 4 4 | knight_knave dict | solution listlengths 4 4 | solution_text stringclasses 10
values | solution_text_format stringclasses 10
values | cot_head stringclasses 1
value | cot_repeat_steps listlengths 5 16 | cot_foot stringclasses 1
value | statements stringclasses 10
values | index int64 600 609 | data_source stringclasses 1
value | prompt listlengths 2 2 | ability stringclasses 1
value | reward_model dict | member int64 0 0 | extra_info dict |
|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|
A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 4 inhabitants: Henry, Emily, Luke, and Chloe. Henry stated, "Emily is a knight if and only if Luke is a knight". "Chloe is a knight," Emily declared. "Emily is a knave or Luke is a knight" - Luke. "Henry is a knave" - Chloe. So who is a knight and who is a knave? | [
"Henry",
"Emily",
"Luke",
"Chloe"
] | {
"Knave": "Knave",
"Knight": "Knight",
"a_knave": "a knave",
"a_knight": "a knight",
"knave": "knave",
"knight": "knight"
} | [
false,
true,
false,
true
] | Henry is a knave, Emily is a knight, Luke is a knave, and Chloe is a knight. | (1) Henry is a knave
(2) Emily is a knight
(3) Luke is a knave
(4) Chloe 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 Emily is a knight if and only if Luke is a knight.",
"Assume Emily is a knight. No contradiction is found in their claim that Chloe is a knight.",
"Chloe cannot be a knight, because this would contradict the claim of their own that Henry i... | This leads to a feasible solution. | (('<=>', ('telling-truth', 1), ('telling-truth', 2)), ('telling-truth', 3), ('or', ('lying', 1), ('telling-truth', 2)), ('lying', 0)) | 600 | kk_logic | [
{
"content": "You are a helpful assistant. The assistant first thinks about the reasoning process in the mind and then provides the user with the answer. The reasoning process and answer are enclosed within <think> </think> and<answer> </answer> tags, respectively, i.e., <think> reasoning process here </think><... | logic | {
"ground_truth": {
"solution_text_format": "(1) Henry is a knave\n(2) Emily is a knight\n(3) Luke is a knave\n(4) Chloe is a knight",
"statements": "(('<=>', ('telling-truth', 1), ('telling-truth', 2)), ('telling-truth', 3), ('or', ('lying', 1), ('telling-truth', 2)), ('lying', 0))"
},
"style": "rule"
} | 0 | {
"index": 0,
"split": "test"
} |
A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 4 inhabitants: Alexander, Elizabeth, Michael, and James. Alexander was heard saying, "If Michael is a knight then Elizabeth is a knight". Elizabeth told you that If James is a knight then James is a knave. Michael expressed that Alexander is not a knave. James commented, "Elizabeth is a knave and Elizabeth is a knight". So who is a knight and who is a knave? | [
"Alexander",
"Elizabeth",
"Michael",
"James"
] | {
"Knave": "Knave",
"Knight": "Knight",
"a_knave": "a knave",
"a_knight": "a knight",
"knave": "knave",
"knight": "knight"
} | [
true,
true,
true,
false
] | Alexander is a knight, Elizabeth is a knight, Michael is a knight, and James is a knave. | (1) Alexander is a knight
(2) Elizabeth is a knight
(3) Michael is a knight
(4) James is a knave | Let's think step by step, by considering whether each person is lying and if that leads to contradiction. | [
"Assume Alexander is a knight. No contradiction is found in their claim that If Michael is a knight then Elizabeth is a knight.",
"Assume Michael is a knight. No contradiction is found in their claim that Alexander is not a knave.",
"Assume Elizabeth is a knight. No contradiction is found in their claim that If... | This leads to a feasible solution. | (('->', ('telling-truth', 2), ('telling-truth', 1)), ('->', ('telling-truth', 3), ('lying', 3)), ('not', ('lying', 0)), ('and', ('lying', 1), ('telling-truth', 1))) | 601 | kk_logic | [
{
"content": "You are a helpful assistant. The assistant first thinks about the reasoning process in the mind and then provides the user with the answer. The reasoning process and answer are enclosed within <think> </think> and<answer> </answer> tags, respectively, i.e., <think> reasoning process here </think><... | logic | {
"ground_truth": {
"solution_text_format": "(1) Alexander is a knight\n(2) Elizabeth is a knight\n(3) Michael is a knight\n(4) James is a knave",
"statements": "(('->', ('telling-truth', 2), ('telling-truth', 1)), ('->', ('telling-truth', 3), ('lying', 3)), ('not', ('lying', 0)), ('and', ('lying', 1), ('telling-truth', 1)))"
},
"style": "rule"
} | 0 | {
"index": 1,
"split": "test"
} |
A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 4 inhabitants: Joseph, Scarlett, Samuel, and Elizabeth. "If Scarlett is a knave then Samuel is a knave" - Joseph. "Joseph is not a knave," Scarlett mentioned. Samuel commented, "Scarlett is a knave if and only if Elizabeth is a knight". According to Elizabeth, "Joseph is a knight and Scarlett is a knight". So who is a knight and who is a knave? | [
"Joseph",
"Scarlett",
"Samuel",
"Elizabeth"
] | {
"Knave": "Knave",
"Knight": "Knight",
"a_knave": "a knave",
"a_knight": "a knight",
"knave": "knave",
"knight": "knight"
} | [
true,
true,
false,
true
] | Joseph is a knight, Scarlett is a knight, Samuel is a knave, and Elizabeth is a knight. | (1) Joseph is a knight
(2) Scarlett is a knight
(3) Samuel is a knave
(4) Elizabeth is a knight | 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 If Scarlett is a knave then Samuel is a knave.",
"Assume Scarlett is a knight. No contradiction is found in their claim that Joseph is not a knave.",
"Assume Samuel is a knight. No contradiction is found in their claim that Scarlett is a ... | This leads to a feasible solution. | (('->', ('lying', 1), ('lying', 2)), ('not', ('lying', 0)), ('<=>', ('lying', 1), ('telling-truth', 3)), ('and', ('telling-truth', 0), ('telling-truth', 1))) | 602 | kk_logic | [
{
"content": "You are a helpful assistant. The assistant first thinks about the reasoning process in the mind and then provides the user with the answer. The reasoning process and answer are enclosed within <think> </think> and<answer> </answer> tags, respectively, i.e., <think> reasoning process here </think><... | logic | {
"ground_truth": {
"solution_text_format": "(1) Joseph is a knight\n(2) Scarlett is a knight\n(3) Samuel is a knave\n(4) Elizabeth is a knight",
"statements": "(('->', ('lying', 1), ('lying', 2)), ('not', ('lying', 0)), ('<=>', ('lying', 1), ('telling-truth', 3)), ('and', ('telling-truth', 0), ('telling-truth', 1)))"
},
"style": "rule"
} | 0 | {
"index": 2,
"split": "test"
} |
A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 4 inhabitants: Aurora, Luke, James, and Zoey. Aurora remarked, "James is a knave". In a statement by Luke: "Aurora is a knight if and only if Zoey is a knight". James remarked, "Aurora is a knave and Aurora is a knight". "Luke is a knight if and only if Luke is a knave," Zoey mentioned. So who is a knight and who is a knave? | [
"Aurora",
"Luke",
"James",
"Zoey"
] | {
"Knave": "Knave",
"Knight": "Knight",
"a_knave": "a knave",
"a_knight": "a knight",
"knave": "knave",
"knight": "knight"
} | [
true,
false,
false,
false
] | Aurora is a knight, Luke is a knave, James is a knave, and Zoey is a knave. | (1) Aurora is a knight
(2) Luke is a knave
(3) James is a knave
(4) Zoey is a knave | Let's think step by step, by considering whether each person is lying and if that leads to contradiction. | [
"Assume Aurora is a knight. No contradiction is found in their claim that James is a knave.",
"James cannot be a knight, because this would contradict the claim of Aurora that James is a knave.",
"Assume James is a knave. No contradiction is found in their false claim that Aurora is a knave and Aurora is a knig... | This leads to a feasible solution. | (('lying', 2), ('<=>', ('telling-truth', 0), ('telling-truth', 3)), ('and', ('lying', 0), ('telling-truth', 0)), ('<=>', ('telling-truth', 1), ('lying', 1))) | 603 | kk_logic | [
{
"content": "You are a helpful assistant. The assistant first thinks about the reasoning process in the mind and then provides the user with the answer. The reasoning process and answer are enclosed within <think> </think> and<answer> </answer> tags, respectively, i.e., <think> reasoning process here </think><... | logic | {
"ground_truth": {
"solution_text_format": "(1) Aurora is a knight\n(2) Luke is a knave\n(3) James is a knave\n(4) Zoey is a knave",
"statements": "(('lying', 2), ('<=>', ('telling-truth', 0), ('telling-truth', 3)), ('and', ('lying', 0), ('telling-truth', 0)), ('<=>', ('telling-truth', 1), ('lying', 1)))"
},
"style": "rule"
} | 0 | {
"index": 3,
"split": "test"
} |
A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 4 inhabitants: Ava, Harper, Mason, and Aurora. Ava expressed that Aurora is a knight or Mason is a knave. Harper was heard saying, "If Aurora is a knight then Ava is a knave". Mason noted, "Ava is not a knave". "If Harper is a knight then Harper is a knave" - Aurora. So who is a knight and who is a knave? | [
"Ava",
"Harper",
"Mason",
"Aurora"
] | {
"Knave": "Knave",
"Knight": "Knight",
"a_knave": "a knave",
"a_knight": "a knight",
"knave": "knave",
"knight": "knight"
} | [
true,
false,
true,
true
] | Ava is a knight, Harper is a knave, Mason is a knight, and Aurora is a knight. | (1) Ava is a knight
(2) Harper is a knave
(3) Mason is a knight
(4) Aurora is a knight | Let's think step by step, by considering whether each person is lying and if that leads to contradiction. | [
"Assume Ava is a knight. No contradiction is found in their claim that Aurora is a knight or Mason is a knave.",
"Assume Aurora is a knight. No contradiction is found in their claim that If Harper is a knight then Harper is a knave.",
"Harper cannot be a knight, because this would contradict the claim of their ... | This leads to a feasible solution. | (('or', ('telling-truth', 3), ('lying', 2)), ('->', ('telling-truth', 3), ('lying', 0)), ('not', ('lying', 0)), ('->', ('telling-truth', 1), ('lying', 1))) | 604 | kk_logic | [
{
"content": "You are a helpful assistant. The assistant first thinks about the reasoning process in the mind and then provides the user with the answer. The reasoning process and answer are enclosed within <think> </think> and<answer> </answer> tags, respectively, i.e., <think> reasoning process here </think><... | logic | {
"ground_truth": {
"solution_text_format": "(1) Ava is a knight\n(2) Harper is a knave\n(3) Mason is a knight\n(4) Aurora is a knight",
"statements": "(('or', ('telling-truth', 3), ('lying', 2)), ('->', ('telling-truth', 3), ('lying', 0)), ('not', ('lying', 0)), ('->', ('telling-truth', 1), ('lying', 1)))"
},
"style": "rule"
} | 0 | {
"index": 4,
"split": "test"
} |
A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 4 inhabitants: Ella, David, Emily, and Evelyn. "Emily is a knight if and only if David is a knave" - Ella. David remarked, "Emily is a knave". Emily said that Ella is not a knave. Evelyn was heard saying, "David is a knight". So who is a knight and who is a knave? | [
"Ella",
"David",
"Emily",
"Evelyn"
] | {
"Knave": "Knave",
"Knight": "Knight",
"a_knave": "a knave",
"a_knight": "a knight",
"knave": "knave",
"knight": "knight"
} | [
true,
false,
true,
false
] | Ella is a knight, David is a knave, Emily is a knight, and Evelyn is a knave. | (1) Ella is a knight
(2) David is a knave
(3) Emily is a knight
(4) Evelyn 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 Emily is a knight if and only if David is a knave.",
"Assume Emily is a knight. No contradiction is found in their claim that Ella is not a knave.",
"David cannot be a knight, because this would contradict the claim of Ella that Emily is a ... | This leads to a feasible solution. | (('<=>', ('telling-truth', 2), ('lying', 1)), ('lying', 2), ('not', ('lying', 0)), ('telling-truth', 1)) | 605 | kk_logic | [
{
"content": "You are a helpful assistant. The assistant first thinks about the reasoning process in the mind and then provides the user with the answer. The reasoning process and answer are enclosed within <think> </think> and<answer> </answer> tags, respectively, i.e., <think> reasoning process here </think><... | logic | {
"ground_truth": {
"solution_text_format": "(1) Ella is a knight\n(2) David is a knave\n(3) Emily is a knight\n(4) Evelyn is a knave",
"statements": "(('<=>', ('telling-truth', 2), ('lying', 1)), ('lying', 2), ('not', ('lying', 0)), ('telling-truth', 1))"
},
"style": "rule"
} | 0 | {
"index": 5,
"split": "test"
} |
A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 4 inhabitants: Harper, Joseph, Abigail, and Daniel. In a statement by Harper: "Abigail is a knight or Daniel is a knight". Joseph asserted: "Daniel is a knave or Harper is a knave". Abigail stated, "Daniel is a knight or Joseph is a knight". Daniel was heard saying, "If Harper is a knave then Daniel is a knight". So who is a knight and who is a knave? | [
"Harper",
"Joseph",
"Abigail",
"Daniel"
] | {
"Knave": "Knave",
"Knight": "Knight",
"a_knave": "a knave",
"a_knight": "a knight",
"knave": "knave",
"knight": "knight"
} | [
true,
false,
true,
true
] | Harper is a knight, Joseph is a knave, Abigail is a knight, and Daniel is a knight. | (1) Harper is a knight
(2) Joseph is a knave
(3) Abigail is a knight
(4) 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 Abigail is a knight or Daniel is a knight.",
"Assume Abigail is a knight. No contradiction is found in their claim that Daniel is a knight or Joseph is a knight.",
"Assume Daniel is a knight. No contradiction is found in their claim that ... | This leads to a feasible solution. | (('or', ('telling-truth', 2), ('telling-truth', 3)), ('or', ('lying', 3), ('lying', 0)), ('or', ('telling-truth', 3), ('telling-truth', 1)), ('->', ('lying', 0), ('telling-truth', 3))) | 606 | kk_logic | [
{
"content": "You are a helpful assistant. The assistant first thinks about the reasoning process in the mind and then provides the user with the answer. The reasoning process and answer are enclosed within <think> </think> and<answer> </answer> tags, respectively, i.e., <think> reasoning process here </think><... | logic | {
"ground_truth": {
"solution_text_format": "(1) Harper is a knight\n(2) Joseph is a knave\n(3) Abigail is a knight\n(4) Daniel is a knight",
"statements": "(('or', ('telling-truth', 2), ('telling-truth', 3)), ('or', ('lying', 3), ('lying', 0)), ('or', ('telling-truth', 3), ('telling-truth', 1)), ('->', ('lying', 0), ('telling-truth', 3)))"
},
"style": "rule"
} | 0 | {
"index": 6,
"split": "test"
} |
A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 4 inhabitants: Michael, Liam, Jacob, and Noah. "Jacob is a knight or Liam is a knave" - Michael. Liam stated, "Noah is a knave". Jacob asserted: "Liam is a knight and Noah is a knave". As Noah put it, "Liam is a knight and Jacob is a knave". So who is a knight and who is a knave? | [
"Michael",
"Liam",
"Jacob",
"Noah"
] | {
"Knave": "Knave",
"Knight": "Knight",
"a_knave": "a knave",
"a_knight": "a knight",
"knave": "knave",
"knight": "knight"
} | [
true,
true,
true,
false
] | Michael is a knight, Liam is a knight, Jacob is a knight, and Noah is a knave. | (1) Michael is a knight
(2) Liam is a knight
(3) Jacob is a knight
(4) Noah is a knave | 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 Jacob is a knight or Liam is a knave.",
"Assume Jacob is a knight. No contradiction is found in their claim that Liam is a knight and Noah is a knave.",
"Assume Liam is a knight. No contradiction is found in their claim that Noah is a kn... | This leads to a feasible solution. | (('or', ('telling-truth', 2), ('lying', 1)), ('lying', 3), ('and', ('telling-truth', 1), ('lying', 3)), ('and', ('telling-truth', 1), ('lying', 2))) | 607 | kk_logic | [
{
"content": "You are a helpful assistant. The assistant first thinks about the reasoning process in the mind and then provides the user with the answer. The reasoning process and answer are enclosed within <think> </think> and<answer> </answer> tags, respectively, i.e., <think> reasoning process here </think><... | logic | {
"ground_truth": {
"solution_text_format": "(1) Michael is a knight\n(2) Liam is a knight\n(3) Jacob is a knight\n(4) Noah is a knave",
"statements": "(('or', ('telling-truth', 2), ('lying', 1)), ('lying', 3), ('and', ('telling-truth', 1), ('lying', 3)), ('and', ('telling-truth', 1), ('lying', 2)))"
},
"style": "rule"
} | 0 | {
"index": 7,
"split": "test"
} |
A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 4 inhabitants: Victoria, Liam, Sebastian, and Elizabeth. Victoria asserted: "Victoria is a knight if and only if Liam is a knight". "Victoria is a knave," Liam claimed. "Victoria is a knave and Elizabeth is a knight," Sebastian claimed. Elizabeth asserted: "Victoria is a knave". So who is a knight and who is a knave? | [
"Victoria",
"Liam",
"Sebastian",
"Elizabeth"
] | {
"Knave": "Knave",
"Knight": "Knight",
"a_knave": "a knave",
"a_knight": "a knight",
"knave": "knave",
"knight": "knight"
} | [
false,
true,
true,
true
] | Victoria is a knave, Liam is a knight, Sebastian is a knight, and Elizabeth is a knight. | (1) Victoria is a knave
(2) Liam is a knight
(3) Sebastian is a knight
(4) Elizabeth 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 Victoria is a knight if and only if Liam is a knight.",
"Liam cannot be a knight, because this would contradict the claim of their own that Victoria is a knave.",
"Liam cannot be a knave, because this would contradict the claim of Victo... | This leads to a feasible solution. | (('<=>', ('telling-truth', 0), ('telling-truth', 1)), ('lying', 0), ('and', ('lying', 0), ('telling-truth', 3)), ('lying', 0)) | 608 | kk_logic | [
{
"content": "You are a helpful assistant. The assistant first thinks about the reasoning process in the mind and then provides the user with the answer. The reasoning process and answer are enclosed within <think> </think> and<answer> </answer> tags, respectively, i.e., <think> reasoning process here </think><... | logic | {
"ground_truth": {
"solution_text_format": "(1) Victoria is a knave\n(2) Liam is a knight\n(3) Sebastian is a knight\n(4) Elizabeth is a knight",
"statements": "(('<=>', ('telling-truth', 0), ('telling-truth', 1)), ('lying', 0), ('and', ('lying', 0), ('telling-truth', 3)), ('lying', 0))"
},
"style": "rule"
} | 0 | {
"index": 8,
"split": "test"
} |
A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 4 inhabitants: Michael, Jacob, Owen, and Scarlett. "Jacob is not a knight," Michael mentioned. Jacob noted, "Michael is a knight and Owen is a knave". "Scarlett is a knight or Scarlett is a knave," Owen mentioned. "Michael is a knight if and only if Jacob is a knight," Scarlett declared. So who is a knight and who is a knave? | [
"Michael",
"Jacob",
"Owen",
"Scarlett"
] | {
"Knave": "Knave",
"Knight": "Knight",
"a_knave": "a knave",
"a_knight": "a knight",
"knave": "knave",
"knight": "knight"
} | [
true,
false,
true,
false
] | Michael is a knight, Jacob is a knave, Owen is a knight, and Scarlett is a knave. | (1) Michael is a knight
(2) Jacob is a knave
(3) Owen is a knight
(4) Scarlett is a knave | 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 Jacob is not a knight.",
"Jacob cannot be a knight, because this would contradict the claim of Michael that Jacob is not a knight.",
"Assume Jacob is a knave. No contradiction is found in their false claim that Michael is a knight and Ow... | This leads to a feasible solution. | (('not', ('telling-truth', 1)), ('and', ('telling-truth', 0), ('lying', 2)), ('or', ('telling-truth', 3), ('lying', 3)), ('<=>', ('telling-truth', 0), ('telling-truth', 1))) | 609 | kk_logic | [
{
"content": "You are a helpful assistant. The assistant first thinks about the reasoning process in the mind and then provides the user with the answer. The reasoning process and answer are enclosed within <think> </think> and<answer> </answer> tags, respectively, i.e., <think> reasoning process here </think><... | logic | {
"ground_truth": {
"solution_text_format": "(1) Michael is a knight\n(2) Jacob is a knave\n(3) Owen is a knight\n(4) Scarlett is a knave",
"statements": "(('not', ('telling-truth', 1)), ('and', ('telling-truth', 0), ('lying', 2)), ('or', ('telling-truth', 3), ('lying', 3)), ('<=>', ('telling-truth', 0), ('telling-truth', 1)))"
},
"style": "rule"
} | 0 | {
"index": 9,
"split": "test"
} |
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