UFT
Collection
UFT: Unifying Supervised and Reinforcement Fine-Tuning • 80 items • Updated • 1
data_source stringclasses 1
value | prompt listlengths 1 1 | hint sequencelengths 9 107 | question stringlengths 769 1.19k | answer stringlengths 463 7.99k | ability stringclasses 1
value | reward_model dict | extra_info dict |
|---|---|---|---|---|---|---|---|
kk_logic | [
{
"content": "A conversation between User and Assistant. The user asks a question, and the Assistant solves it. The assistant first thinks about the reasoning process in the mind and then provides the user with the answer.\nUser: A very special island is inhabited only by knights and knaves. Knights always tell... | [
"Assume Michael is a knight. ",
"No contradiction is found in their claim that Ethan is a knight if and only if Michael is a knight.\n",
"Assume Ethan is a knight. ",
"No contradiction is found in their claim that Michael is a knave if and only if Zoey is a knave.\n",
"Assume Zoey is a knight. ",
"No cont... | A conversation between User and Assistant. The user asks a question, and the Assistant solves it. The assistant first thinks about the reasoning process in the mind and then provides the user with the answer.
User: A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves ... | Assume Michael is a knight. No contradiction is found in their claim that Ethan is a knight if and only if Michael is a knight.
Assume Ethan is a knight. No contradiction is found in their claim that Michael is a knave if and only if Zoey is a knave.
Assume Zoey is a knight. No contradiction is found in their claim tha... | math | {
"ground_truth": {
"names": [
"Michael",
"Zoey",
"Ethan"
],
"solution": [
true,
true,
true
],
"solution_text_format": "(1) Michael is a knight\n(2) Zoey is a knight\n(3) Ethan is a knight",
"statements": "(('<=>', ('telling-truth', 2), ('telling-truth', 0))... | {
"index": 0,
"split": "train"
} |
kk_logic | [
{
"content": "A conversation between User and Assistant. The user asks a question, and the Assistant solves it. The assistant first thinks about the reasoning process in the mind and then provides the user with the answer.\nUser: A very special island is inhabited only by knights and knaves. Knights always tell... | [
"Assume Michael is a knight. ",
"No contradiction is found in their claim that Mason is not a knight.\n",
"Mason cannot be a knight, because this would contradict the claim of Michael that Mason is not a knight.\n",
"Assume Mason is a knave. ",
"No contradiction is found in their false claim that Michael is... | A conversation between User and Assistant. The user asks a question, and the Assistant solves it. The assistant first thinks about the reasoning process in the mind and then provides the user with the answer.
User: A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves ... | Assume Michael is a knight. No contradiction is found in their claim that Mason is not a knight.
Mason cannot be a knight, because this would contradict the claim of Michael that Mason is not a knight.
Assume Mason is a knave. No contradiction is found in their false claim that Michael is a knight and Jacob is a knave.... | math | {
"ground_truth": {
"names": [
"Michael",
"Mason",
"Jacob"
],
"solution": [
true,
false,
true
],
"solution_text_format": "(1) Michael is a knight\n(2) Mason is a knave\n(3) Jacob is a knight",
"statements": "(('not', ('telling-truth', 1)), ('and', ('telling-... | {
"index": 1,
"split": "train"
} |
kk_logic | [
{
"content": "A conversation between User and Assistant. The user asks a question, and the Assistant solves it. The assistant first thinks about the reasoning process in the mind and then provides the user with the answer.\nUser: A very special island is inhabited only by knights and knaves. Knights always tell... | [
"Assume Lucas is a knight. ",
"No contradiction is found in their claim that Harper is not a knave.\n",
"Assume Harper is a knight. ",
"No contradiction is found in their claim that Harper is a knight if and only if Amelia is a knave.\n",
"Amelia cannot be a knight, because this would contradict the claim o... | A conversation between User and Assistant. The user asks a question, and the Assistant solves it. The assistant first thinks about the reasoning process in the mind and then provides the user with the answer.
User: A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves ... | Assume Lucas is a knight. No contradiction is found in their claim that Harper is not a knave.
Assume Harper is a knight. No contradiction is found in their claim that Harper is a knight if and only if Amelia is a knave.
Amelia cannot be a knight, because this would contradict the claim of Harper that Harper is a knigh... | math | {
"ground_truth": {
"names": [
"Lucas",
"Harper",
"Amelia"
],
"solution": [
true,
true,
false
],
"solution_text_format": "(1) Lucas is a knight\n(2) Harper is a knight\n(3) Amelia is a knave",
"statements": "(('not', ('lying', 1)), ('<=>', ('telling-truth', ... | {
"index": 2,
"split": "train"
} |
kk_logic | [
{
"content": "A conversation between User and Assistant. The user asks a question, and the Assistant solves it. The assistant first thinks about the reasoning process in the mind and then provides the user with the answer.\nUser: A very special island is inhabited only by knights and knaves. Knights always tell... | [
"Assume Owen is a knight. ",
"No contradiction is found in their claim that Joseph is a knight or Sofia is a knight.\n",
"Assume Joseph is a knight. ",
"No contradiction is found in their claim that Owen is a knave if and only if Sofia is a knight.\n",
"Sofia cannot be a knight, because this would contradic... | A conversation between User and Assistant. The user asks a question, and the Assistant solves it. The assistant first thinks about the reasoning process in the mind and then provides the user with the answer.
User: A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves ... | Assume Owen is a knight. No contradiction is found in their claim that Joseph is a knight or Sofia is a knight.
Assume Joseph is a knight. No contradiction is found in their claim that Owen is a knave if and only if Sofia is a knight.
Sofia cannot be a knight, because this would contradict the claim of Joseph that Owen... | math | {
"ground_truth": {
"names": [
"Owen",
"Joseph",
"Sofia"
],
"solution": [
false,
false,
false
],
"solution_text_format": "(1) Owen is a knave\n(2) Joseph is a knave\n(3) Sofia is a knave",
"statements": "(('or', ('telling-truth', 1), ('telling-truth', 2)), (... | {
"index": 3,
"split": "train"
} |
kk_logic | [
{
"content": "A conversation between User and Assistant. The user asks a question, and the Assistant solves it. The assistant first thinks about the reasoning process in the mind and then provides the user with the answer.\nUser: A very special island is inhabited only by knights and knaves. Knights always tell... | [
"Assume Abigail is a knight. ",
"No contradiction is found in their claim that Abigail is a knight if and only if Evelyn is a knight.\n",
"Assume Evelyn is a knight. ",
"No contradiction is found in their claim that Scarlett is not a knight.\n",
"Scarlett cannot be a knight, because this would contradict th... | A conversation between User and Assistant. The user asks a question, and the Assistant solves it. The assistant first thinks about the reasoning process in the mind and then provides the user with the answer.
User: A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves ... | Assume Abigail is a knight. No contradiction is found in their claim that Abigail is a knight if and only if Evelyn is a knight.
Assume Evelyn is a knight. No contradiction is found in their claim that Scarlett is not a knight.
Scarlett cannot be a knight, because this would contradict the claim of Evelyn that Scarlett... | math | {
"ground_truth": {
"names": [
"Abigail",
"Scarlett",
"Evelyn"
],
"solution": [
false,
false,
true
],
"solution_text_format": "(1) Abigail is a knave\n(2) Scarlett is a knave\n(3) Evelyn is a knight",
"statements": "(('<=>', ('telling-truth', 0), ('telling-t... | {
"index": 4,
"split": "train"
} |
kk_logic | [
{
"content": "A conversation between User and Assistant. The user asks a question, and the Assistant solves it. The assistant first thinks about the reasoning process in the mind and then provides the user with the answer.\nUser: A very special island is inhabited only by knights and knaves. Knights always tell... | [
"Assume Penelope is a knight. ",
"No contradiction is found in their claim that Penelope is a knight and Matthew is a knight.\n",
"Matthew cannot be a knight, because this would contradict the claim of their own that Victoria is a knave and Victoria is a knight.\n",
"Matthew cannot be a knave, because this wo... | A conversation between User and Assistant. The user asks a question, and the Assistant solves it. The assistant first thinks about the reasoning process in the mind and then provides the user with the answer.
User: A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves ... | Assume Penelope is a knight. No contradiction is found in their claim that Penelope is a knight and Matthew is a knight.
Matthew cannot be a knight, because this would contradict the claim of their own that Victoria is a knave and Victoria is a knight.
Matthew cannot be a knave, because this would contradict the claim ... | math | {
"ground_truth": {
"names": [
"Penelope",
"Matthew",
"Victoria"
],
"solution": [
false,
false,
true
],
"solution_text_format": "(1) Penelope is a knave\n(2) Matthew is a knave\n(3) Victoria is a knight",
"statements": "(('and', ('telling-truth', 0), ('telli... | {
"index": 5,
"split": "train"
} |
kk_logic | [
{
"content": "A conversation between User and Assistant. The user asks a question, and the Assistant solves it. The assistant first thinks about the reasoning process in the mind and then provides the user with the answer.\nUser: A very special island is inhabited only by knights and knaves. Knights always tell... | [
"Assume Emily is a knight. ",
"No contradiction is found in their claim that Elizabeth is a knight or Elizabeth is a knave.\n",
"Assume Elizabeth is a knight. ",
"No contradiction is found in their claim that Liam is a knave.\n",
"Liam cannot be a knight, because this would contradict the claim of Elizabeth... | A conversation between User and Assistant. The user asks a question, and the Assistant solves it. The assistant first thinks about the reasoning process in the mind and then provides the user with the answer.
User: A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves ... | Assume Emily is a knight. No contradiction is found in their claim that Elizabeth is a knight or Elizabeth is a knave.
Assume Elizabeth is a knight. No contradiction is found in their claim that Liam is a knave.
Liam cannot be a knight, because this would contradict the claim of Elizabeth that Liam is a knave.
Liam can... | math | {
"ground_truth": {
"names": [
"Emily",
"Liam",
"Elizabeth"
],
"solution": [
true,
true,
false
],
"solution_text_format": "(1) Emily is a knight\n(2) Liam is a knight\n(3) Elizabeth is a knave",
"statements": "(('or', ('telling-truth', 2), ('lying', 2)), ('-... | {
"index": 6,
"split": "train"
} |
kk_logic | [
{
"content": "A conversation between User and Assistant. The user asks a question, and the Assistant solves it. The assistant first thinks about the reasoning process in the mind and then provides the user with the answer.\nUser: A very special island is inhabited only by knights and knaves. Knights always tell... | [
"Assume Michael is a knight. ",
"No contradiction is found in their claim that Ava is a knave or Ava is a knight.\n",
"Assume Ava is a knight. ",
"No contradiction is found in their claim that Michael is not a knave.\n",
"Assume Henry is a knight. ",
"No contradiction is found in their claim that Michael ... | A conversation between User and Assistant. The user asks a question, and the Assistant solves it. The assistant first thinks about the reasoning process in the mind and then provides the user with the answer.
User: A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves ... | Assume Michael is a knight. No contradiction is found in their claim that Ava is a knave or Ava is a knight.
Assume Ava is a knight. No contradiction is found in their claim that Michael is not a knave.
Assume Henry is a knight. No contradiction is found in their claim that Michael is a knight.
Therefore, (1) Michael i... | math | {
"ground_truth": {
"names": [
"Michael",
"Ava",
"Henry"
],
"solution": [
true,
true,
true
],
"solution_text_format": "(1) Michael is a knight\n(2) Ava is a knight\n(3) Henry is a knight",
"statements": "(('or', ('lying', 1), ('telling-truth', 1)), ('not', (... | {
"index": 7,
"split": "train"
} |
kk_logic | [
{
"content": "A conversation between User and Assistant. The user asks a question, and the Assistant solves it. The assistant first thinks about the reasoning process in the mind and then provides the user with the answer.\nUser: A very special island is inhabited only by knights and knaves. Knights always tell... | [
"Assume Oliver is a knight. ",
"No contradiction is found in their claim that Alexander is a knave or Alexander is a knight.\n",
"Assume Alexander is a knight. ",
"No contradiction is found in their claim that Mason is not a knave.\n",
"Assume Mason is a knight. ",
"No contradiction is found in their clai... | A conversation between User and Assistant. The user asks a question, and the Assistant solves it. The assistant first thinks about the reasoning process in the mind and then provides the user with the answer.
User: A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves ... | Assume Oliver is a knight. No contradiction is found in their claim that Alexander is a knave or Alexander is a knight.
Assume Alexander is a knight. No contradiction is found in their claim that Mason is not a knave.
Assume Mason is a knight. No contradiction is found in their claim that Mason is a knight or Oliver is... | math | {
"ground_truth": {
"names": [
"Oliver",
"Alexander",
"Mason"
],
"solution": [
true,
true,
true
],
"solution_text_format": "(1) Oliver is a knight\n(2) Alexander is a knight\n(3) Mason is a knight",
"statements": "(('or', ('lying', 1), ('telling-truth', 1)),... | {
"index": 8,
"split": "train"
} |
kk_logic | [
{
"content": "A conversation between User and Assistant. The user asks a question, and the Assistant solves it. The assistant first thinks about the reasoning process in the mind and then provides the user with the answer.\nUser: A very special island is inhabited only by knights and knaves. Knights always tell... | [
"Assume Lily is a knight. ",
"No contradiction is found in their claim that Sophia is a knight or Samuel is a knight.\n",
"Assume Sophia is a knight. ",
"No contradiction is found in their claim that If Samuel is a knave then Samuel is a knight.\n",
"Assume Samuel is a knight. ",
"No contradiction is foun... | A conversation between User and Assistant. The user asks a question, and the Assistant solves it. The assistant first thinks about the reasoning process in the mind and then provides the user with the answer.
User: A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves ... | Assume Lily is a knight. No contradiction is found in their claim that Sophia is a knight or Samuel is a knight.
Assume Sophia is a knight. No contradiction is found in their claim that If Samuel is a knave then Samuel is a knight.
Assume Samuel is a knight. No contradiction is found in their claim that Sophia is a kni... | math | {
"ground_truth": {
"names": [
"Lily",
"Samuel",
"Sophia"
],
"solution": [
true,
true,
true
],
"solution_text_format": "(1) Lily is a knight\n(2) Samuel is a knight\n(3) Sophia is a knight",
"statements": "(('or', ('telling-truth', 2), ('telling-truth', 1)),... | {
"index": 9,
"split": "train"
} |
kk_logic | [
{
"content": "A conversation between User and Assistant. The user asks a question, and the Assistant solves it. The assistant first thinks about the reasoning process in the mind and then provides the user with the answer.\nUser: A very special island is inhabited only by knights and knaves. Knights always tell... | [
"Assume Charlotte is a knight. ",
"No contradiction is found in their claim that Luke is a knave if and only if Liam is a knave.\n",
"Luke cannot be a knight, because this would contradict the claim of their own that Charlotte is not a knight.\n",
"Assume Luke is a knave. ",
"No contradiction is found in th... | A conversation between User and Assistant. The user asks a question, and the Assistant solves it. The assistant first thinks about the reasoning process in the mind and then provides the user with the answer.
User: A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves ... | Assume Charlotte is a knight. No contradiction is found in their claim that Luke is a knave if and only if Liam is a knave.
Luke cannot be a knight, because this would contradict the claim of their own that Charlotte is not a knight.
Assume Luke is a knave. No contradiction is found in their false claim that Charlotte ... | math | {
"ground_truth": {
"names": [
"Charlotte",
"Luke",
"Liam"
],
"solution": [
true,
false,
false
],
"solution_text_format": "(1) Charlotte is a knight\n(2) Luke is a knave\n(3) Liam is a knave",
"statements": "(('<=>', ('lying', 1), ('lying', 2)), ('not', ('te... | {
"index": 10,
"split": "train"
} |
kk_logic | [
{
"content": "A conversation between User and Assistant. The user asks a question, and the Assistant solves it. The assistant first thinks about the reasoning process in the mind and then provides the user with the answer.\nUser: A very special island is inhabited only by knights and knaves. Knights always tell... | [
"Assume Sebastian is a knight. ",
"No contradiction is found in their claim that Logan is a knave or Sebastian is a knight.\n",
"Assume Logan is a knight. ",
"No contradiction is found in their claim that Matthew is not a knave.\n",
"Matthew cannot be a knight, because this would contradict the claim of the... | A conversation between User and Assistant. The user asks a question, and the Assistant solves it. The assistant first thinks about the reasoning process in the mind and then provides the user with the answer.
User: A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves ... | Assume Sebastian is a knight. No contradiction is found in their claim that Logan is a knave or Sebastian is a knight.
Assume Logan is a knight. No contradiction is found in their claim that Matthew is not a knave.
Matthew cannot be a knight, because this would contradict the claim of their own that If Logan is a knigh... | math | {
"ground_truth": {
"names": [
"Sebastian",
"Matthew",
"Logan"
],
"solution": [
false,
true,
true
],
"solution_text_format": "(1) Sebastian is a knave\n(2) Matthew is a knight\n(3) Logan is a knight",
"statements": "(('or', ('lying', 2), ('telling-truth', 0)... | {
"index": 11,
"split": "train"
} |
kk_logic | [
{
"content": "A conversation between User and Assistant. The user asks a question, and the Assistant solves it. The assistant first thinks about the reasoning process in the mind and then provides the user with the answer.\nUser: A very special island is inhabited only by knights and knaves. Knights always tell... | [
"Assume Lily is a knight. ",
"No contradiction is found in their claim that Harper is a knave or Luke is a knight.\n",
"Assume Harper is a knight. ",
"No contradiction is found in their claim that If Lily is a knave then Luke is a knave.\n",
"Luke cannot be a knight, because this would contradict the claim ... | A conversation between User and Assistant. The user asks a question, and the Assistant solves it. The assistant first thinks about the reasoning process in the mind and then provides the user with the answer.
User: A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves ... | Assume Lily is a knight. No contradiction is found in their claim that Harper is a knave or Luke is a knight.
Assume Harper is a knight. No contradiction is found in their claim that If Lily is a knave then Luke is a knave.
Luke cannot be a knight, because this would contradict the claim of their own that Lily is a kni... | math | {
"ground_truth": {
"names": [
"Lily",
"Harper",
"Luke"
],
"solution": [
false,
true,
false
],
"solution_text_format": "(1) Lily is a knave\n(2) Harper is a knight\n(3) Luke is a knave",
"statements": "(('or', ('lying', 1), ('telling-truth', 2)), ('->', ('ly... | {
"index": 12,
"split": "train"
} |
kk_logic | [
{
"content": "A conversation between User and Assistant. The user asks a question, and the Assistant solves it. The assistant first thinks about the reasoning process in the mind and then provides the user with the answer.\nUser: A very special island is inhabited only by knights and knaves. Knights always tell... | [
"Assume James is a knight. ",
"No contradiction is found in their claim that Abigail is a knight.\n",
"Assume Abigail is a knight. ",
"No contradiction is found in their claim that Abigail is a knight if and only if James is a knight.\n",
"Ava cannot be a knight, because this would contradict the claim of t... | A conversation between User and Assistant. The user asks a question, and the Assistant solves it. The assistant first thinks about the reasoning process in the mind and then provides the user with the answer.
User: A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves ... | Assume James is a knight. No contradiction is found in their claim that Abigail is a knight.
Assume Abigail is a knight. No contradiction is found in their claim that Abigail is a knight if and only if James is a knight.
Ava cannot be a knight, because this would contradict the claim of their own that Abigail is not a ... | math | {
"ground_truth": {
"names": [
"James",
"Abigail",
"Ava"
],
"solution": [
true,
true,
false
],
"solution_text_format": "(1) James is a knight\n(2) Abigail is a knight\n(3) Ava is a knave",
"statements": "(('telling-truth', 1), ('<=>', ('telling-truth', 1), (... | {
"index": 13,
"split": "train"
} |
kk_logic | [
{
"content": "A conversation between User and Assistant. The user asks a question, and the Assistant solves it. The assistant first thinks about the reasoning process in the mind and then provides the user with the answer.\nUser: A very special island is inhabited only by knights and knaves. Knights always tell... | [
"Assume Victoria is a knight. ",
"No contradiction is found in their claim that Aria is a knave or Aria is a knight.\n",
"Assume Aria is a knight. ",
"No contradiction is found in their claim that William is a knight or William is a knave.\n",
"William cannot be a knight, because this would contradict the c... | A conversation between User and Assistant. The user asks a question, and the Assistant solves it. The assistant first thinks about the reasoning process in the mind and then provides the user with the answer.
User: A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves ... | Assume Victoria is a knight. No contradiction is found in their claim that Aria is a knave or Aria is a knight.
Assume Aria is a knight. No contradiction is found in their claim that William is a knight or William is a knave.
William cannot be a knight, because this would contradict the claim of their own that Victoria... | math | {
"ground_truth": {
"names": [
"Victoria",
"William",
"Aria"
],
"solution": [
true,
false,
true
],
"solution_text_format": "(1) Victoria is a knight\n(2) William is a knave\n(3) Aria is a knight",
"statements": "(('or', ('lying', 2), ('telling-truth', 2)), (... | {
"index": 14,
"split": "train"
} |
kk_logic | [
{
"content": "A conversation between User and Assistant. The user asks a question, and the Assistant solves it. The assistant first thinks about the reasoning process in the mind and then provides the user with the answer.\nUser: A very special island is inhabited only by knights and knaves. Knights always tell... | [
"Assume Sebastian is a knight. ",
"No contradiction is found in their claim that Riley is a knave or Sebastian is a knight.\n",
"Riley cannot be a knight, because this would contradict the claim of their own that Sebastian is a knave if and only if Riley is a knight.\n",
"Riley cannot be a knave, because this... | A conversation between User and Assistant. The user asks a question, and the Assistant solves it. The assistant first thinks about the reasoning process in the mind and then provides the user with the answer.
User: A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves ... | Assume Sebastian is a knight. No contradiction is found in their claim that Riley is a knave or Sebastian is a knight.
Riley cannot be a knight, because this would contradict the claim of their own that Sebastian is a knave if and only if Riley is a knight.
Riley cannot be a knave, because this would contradict the fal... | math | {
"ground_truth": {
"names": [
"Sebastian",
"Charlotte",
"Riley"
],
"solution": [
false,
true,
true
],
"solution_text_format": "(1) Sebastian is a knave\n(2) Charlotte is a knight\n(3) Riley is a knight",
"statements": "(('or', ('lying', 2), ('telling-truth'... | {
"index": 15,
"split": "train"
} |
kk_logic | [
{
"content": "A conversation between User and Assistant. The user asks a question, and the Assistant solves it. The assistant first thinks about the reasoning process in the mind and then provides the user with the answer.\nUser: A very special island is inhabited only by knights and knaves. Knights always tell... | [
"Assume Owen is a knight. ",
"No contradiction is found in their claim that Jacob is not a knight.\n",
"Jacob cannot be a knight, because this would contradict the claim of Owen that Jacob is not a knight.\n",
"Jacob cannot be a knave, because this would contradict the false claim of their own that If Amelia ... | A conversation between User and Assistant. The user asks a question, and the Assistant solves it. The assistant first thinks about the reasoning process in the mind and then provides the user with the answer.
User: A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves ... | Assume Owen 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 Owen that Jacob is not a knight.
Jacob cannot be a knave, because this would contradict the false claim of their own that If Amelia is a knave then Owen is a... | math | {
"ground_truth": {
"names": [
"Owen",
"Jacob",
"Amelia"
],
"solution": [
false,
true,
true
],
"solution_text_format": "(1) Owen is a knave\n(2) Jacob is a knight\n(3) Amelia is a knight",
"statements": "(('not', ('telling-truth', 1)), ('->', ('lying', 2), (... | {
"index": 16,
"split": "train"
} |
kk_logic | [
{
"content": "A conversation between User and Assistant. The user asks a question, and the Assistant solves it. The assistant first thinks about the reasoning process in the mind and then provides the user with the answer.\nUser: A very special island is inhabited only by knights and knaves. Knights always tell... | [
"Assume Alexander is a knight. ",
"No contradiction is found in their claim that Lucas is not a knave.\n",
"Assume Lucas is a knight. ",
"No contradiction is found in their claim that Daniel is not a knave.\n",
"Assume Daniel is a knight. ",
"No contradiction is found in their claim that Lucas is a knight... | A conversation between User and Assistant. The user asks a question, and the Assistant solves it. The assistant first thinks about the reasoning process in the mind and then provides the user with the answer.
User: A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves ... | Assume Alexander is a knight. No contradiction is found in their claim that Lucas is not a knave.
Assume Lucas is a knight. No contradiction is found in their claim that Daniel is not a knave.
Assume Daniel is a knight. No contradiction is found in their claim that Lucas is a knight if and only if Daniel is a knight.
T... | math | {
"ground_truth": {
"names": [
"Alexander",
"Lucas",
"Daniel"
],
"solution": [
true,
true,
true
],
"solution_text_format": "(1) Alexander is a knight\n(2) Lucas is a knight\n(3) Daniel is a knight",
"statements": "(('not', ('lying', 1)), ('not', ('lying', 2)... | {
"index": 17,
"split": "train"
} |
kk_logic | [
{
"content": "A conversation between User and Assistant. The user asks a question, and the Assistant solves it. The assistant first thinks about the reasoning process in the mind and then provides the user with the answer.\nUser: A very special island is inhabited only by knights and knaves. Knights always tell... | [
"Assume Sebastian is a knight. ",
"No contradiction is found in their claim that Aria is a knave or Sebastian is a knight.\n",
"Assume Aria is a knight. ",
"No contradiction is found in their claim that Sebastian is not a knave.\n",
"Assume Benjamin is a knight. ",
"No contradiction is found in their clai... | A conversation between User and Assistant. The user asks a question, and the Assistant solves it. The assistant first thinks about the reasoning process in the mind and then provides the user with the answer.
User: A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves ... | Assume Sebastian is a knight. No contradiction is found in their claim that Aria is a knave or Sebastian is a knight.
Assume Aria is a knight. No contradiction is found in their claim that Sebastian is not a knave.
Assume Benjamin is a knight. No contradiction is found in their claim that Sebastian is a knight or Benja... | math | {
"ground_truth": {
"names": [
"Sebastian",
"Aria",
"Benjamin"
],
"solution": [
true,
true,
true
],
"solution_text_format": "(1) Sebastian is a knight\n(2) Aria is a knight\n(3) Benjamin is a knight",
"statements": "(('or', ('lying', 1), ('telling-truth', 0)... | {
"index": 18,
"split": "train"
} |
kk_logic | [
{
"content": "A conversation between User and Assistant. The user asks a question, and the Assistant solves it. The assistant first thinks about the reasoning process in the mind and then provides the user with the answer.\nUser: A very special island is inhabited only by knights and knaves. Knights always tell... | [
"Assume Daniel is a knight. ",
"No contradiction is found in their claim that Ethan is a knave or Riley is a knave.\n",
"Assume Ethan is a knight. ",
"No contradiction is found in their claim that Daniel is a knight.\n",
"Riley cannot be a knight, because this would contradict the claim of Daniel that Ethan... | A conversation between User and Assistant. The user asks a question, and the Assistant solves it. The assistant first thinks about the reasoning process in the mind and then provides the user with the answer.
User: A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves ... | Assume Daniel is a knight. No contradiction is found in their claim that Ethan is a knave or Riley is a knave.
Assume Ethan is a knight. No contradiction is found in their claim that Daniel is a knight.
Riley cannot be a knight, because this would contradict the claim of Daniel that Ethan is a knave or Riley is a knave... | math | {
"ground_truth": {
"names": [
"Daniel",
"Ethan",
"Riley"
],
"solution": [
true,
true,
false
],
"solution_text_format": "(1) Daniel is a knight\n(2) Ethan is a knight\n(3) Riley is a knave",
"statements": "(('or', ('lying', 1), ('lying', 2)), ('telling-truth... | {
"index": 19,
"split": "train"
} |
kk_logic | [
{
"content": "A conversation between User and Assistant. The user asks a question, and the Assistant solves it. The assistant first thinks about the reasoning process in the mind and then provides the user with the answer.\nUser: A very special island is inhabited only by knights and knaves. Knights always tell... | [
"Assume Elizabeth is a knight. ",
"No contradiction is found in their claim that Mason is a knight or Zoey is a knight.\n",
"Assume Mason is a knight. ",
"No contradiction is found in their claim that Elizabeth is a knave or Elizabeth is a knight.\n",
"Zoey cannot be a knight, because this would contradict ... | A conversation between User and Assistant. The user asks a question, and the Assistant solves it. The assistant first thinks about the reasoning process in the mind and then provides the user with the answer.
User: A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves ... | Assume Elizabeth is a knight. No contradiction is found in their claim that Mason is a knight or Zoey is a knight.
Assume Mason is a knight. No contradiction is found in their claim that Elizabeth is a knave or Elizabeth is a knight.
Zoey cannot be a knight, because this would contradict the claim of their own that Mas... | math | {
"ground_truth": {
"names": [
"Elizabeth",
"Zoey",
"Mason"
],
"solution": [
true,
false,
true
],
"solution_text_format": "(1) Elizabeth is a knight\n(2) Zoey is a knave\n(3) Mason is a knight",
"statements": "(('or', ('telling-truth', 2), ('telling-truth', ... | {
"index": 20,
"split": "train"
} |
kk_logic | [
{
"content": "A conversation between User and Assistant. The user asks a question, and the Assistant solves it. The assistant first thinks about the reasoning process in the mind and then provides the user with the answer.\nUser: A very special island is inhabited only by knights and knaves. Knights always tell... | [
"Assume Harper is a knight. ",
"No contradiction is found in their claim that Abigail is a knight and Emily is a knave.\n",
"Assume Abigail is a knight. ",
"No contradiction is found in their claim that Harper is a knave or Abigail is a knight.\n",
"Emily cannot be a knight, because this would contradict th... | A conversation between User and Assistant. The user asks a question, and the Assistant solves it. The assistant first thinks about the reasoning process in the mind and then provides the user with the answer.
User: A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves ... | Assume Harper is a knight. No contradiction is found in their claim that Abigail is a knight and Emily is a knave.
Assume Abigail is a knight. No contradiction is found in their claim that Harper is a knave or Abigail is a knight.
Emily cannot be a knight, because this would contradict the claim of Harper that Abigail ... | math | {
"ground_truth": {
"names": [
"Harper",
"Emily",
"Abigail"
],
"solution": [
false,
true,
true
],
"solution_text_format": "(1) Harper is a knave\n(2) Emily is a knight\n(3) Abigail is a knight",
"statements": "(('and', ('telling-truth', 2), ('lying', 1)), ('... | {
"index": 21,
"split": "train"
} |
kk_logic | [
{
"content": "A conversation between User and Assistant. The user asks a question, and the Assistant solves it. The assistant first thinks about the reasoning process in the mind and then provides the user with the answer.\nUser: A very special island is inhabited only by knights and knaves. Knights always tell... | [
"Assume Logan is a knight. ",
"No contradiction is found in their claim that Sophia is a knight.\n",
"Assume Sophia is a knight. ",
"No contradiction is found in their claim that Logan is a knave if and only if Lucas is a knight.\n",
"Lucas cannot be a knight, because this would contradict the claim of Soph... | A conversation between User and Assistant. The user asks a question, and the Assistant solves it. The assistant first thinks about the reasoning process in the mind and then provides the user with the answer.
User: A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves ... | Assume Logan is a knight. No contradiction is found in their claim that Sophia is a knight.
Assume Sophia is a knight. No contradiction is found in their claim that Logan is a knave if and only if Lucas is a knight.
Lucas cannot be a knight, because this would contradict the claim of Sophia that Logan is a knave if and... | math | {
"ground_truth": {
"names": [
"Logan",
"Lucas",
"Sophia"
],
"solution": [
false,
false,
false
],
"solution_text_format": "(1) Logan is a knave\n(2) Lucas is a knave\n(3) Sophia is a knave",
"statements": "(('telling-truth', 2), ('->', ('lying', 2), ('tellin... | {
"index": 22,
"split": "train"
} |
kk_logic | [
{
"content": "A conversation between User and Assistant. The user asks a question, and the Assistant solves it. The assistant first thinks about the reasoning process in the mind and then provides the user with the answer.\nUser: A very special island is inhabited only by knights and knaves. Knights always tell... | [
"Assume Charlotte is a knight. ",
"No contradiction is found in their claim that Evelyn is a knight or Mia is a knave.\n",
"Assume Evelyn is a knight. ",
"No contradiction is found in their claim that Charlotte is a knave if and only if Mia is a knave.\n",
"Assume Mia is a knight. ",
"No contradiction is ... | A conversation between User and Assistant. The user asks a question, and the Assistant solves it. The assistant first thinks about the reasoning process in the mind and then provides the user with the answer.
User: A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves ... | Assume Charlotte is a knight. No contradiction is found in their claim that Evelyn is a knight or Mia is a knave.
Assume Evelyn is a knight. No contradiction is found in their claim that Charlotte is a knave if and only if Mia is a knave.
Assume Mia is a knight. No contradiction is found in their claim that Charlotte i... | math | {
"ground_truth": {
"names": [
"Charlotte",
"Mia",
"Evelyn"
],
"solution": [
true,
true,
true
],
"solution_text_format": "(1) Charlotte is a knight\n(2) Mia is a knight\n(3) Evelyn is a knight",
"statements": "(('or', ('telling-truth', 2), ('lying', 1)), ('t... | {
"index": 23,
"split": "train"
} |
kk_logic | [
{
"content": "A conversation between User and Assistant. The user asks a question, and the Assistant solves it. The assistant first thinks about the reasoning process in the mind and then provides the user with the answer.\nUser: A very special island is inhabited only by knights and knaves. Knights always tell... | [
"Assume Grace is a knight. ",
"No contradiction is found in their claim that If Penelope is a knight then Penelope is a knave.\n",
"Penelope cannot be a knight, because this would contradict the claim of Grace that If Penelope is a knight then Penelope is a knave.\n",
"Penelope cannot be a knave, because this... | A conversation between User and Assistant. The user asks a question, and the Assistant solves it. The assistant first thinks about the reasoning process in the mind and then provides the user with the answer.
User: A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves ... | Assume Grace is a knight. No contradiction is found in their claim that If Penelope is a knight then Penelope is a knave.
Penelope cannot be a knight, because this would contradict the claim of Grace that If Penelope is a knight then Penelope is a knave.
Penelope cannot be a knave, because this would contradict the fal... | math | {
"ground_truth": {
"names": [
"Grace",
"Penelope",
"Charlotte"
],
"solution": [
false,
true,
false
],
"solution_text_format": "(1) Grace is a knave\n(2) Penelope is a knight\n(3) Charlotte is a knave",
"statements": "(('->', ('telling-truth', 1), ('lying', ... | {
"index": 24,
"split": "train"
} |
kk_logic | [
{
"content": "A conversation between User and Assistant. The user asks a question, and the Assistant solves it. The assistant first thinks about the reasoning process in the mind and then provides the user with the answer.\nUser: A very special island is inhabited only by knights and knaves. Knights always tell... | [
"Assume Elizabeth is a knight. ",
"No contradiction is found in their claim that Charlotte is a knight.\n",
"Assume Charlotte is a knight. ",
"No contradiction is found in their claim that Elizabeth is a knight or Scarlett is a knight.\n",
"Scarlett cannot be a knight, because this would contradict the clai... | A conversation between User and Assistant. The user asks a question, and the Assistant solves it. The assistant first thinks about the reasoning process in the mind and then provides the user with the answer.
User: A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves ... | Assume Elizabeth is a knight. No contradiction is found in their claim that Charlotte is a knight.
Assume Charlotte is a knight. No contradiction is found in their claim that Elizabeth is a knight or Scarlett is a knight.
Scarlett cannot be a knight, because this would contradict the claim of their own that Charlotte i... | math | {
"ground_truth": {
"names": [
"Elizabeth",
"Scarlett",
"Charlotte"
],
"solution": [
true,
false,
true
],
"solution_text_format": "(1) Elizabeth is a knight\n(2) Scarlett is a knave\n(3) Charlotte is a knight",
"statements": "(('telling-truth', 2), ('lying',... | {
"index": 25,
"split": "train"
} |
kk_logic | [
{
"content": "A conversation between User and Assistant. The user asks a question, and the Assistant solves it. The assistant first thinks about the reasoning process in the mind and then provides the user with the answer.\nUser: A very special island is inhabited only by knights and knaves. Knights always tell... | [
"Assume Olivia is a knight. ",
"No contradiction is found in their claim that Olivia is a knight or Harper is a knave.\n",
"Assume Harper is a knight. ",
"No contradiction is found in their claim that Ethan is a knave if and only if Olivia is a knight.\n",
"Ethan cannot be a knight, because this would contr... | A conversation between User and Assistant. The user asks a question, and the Assistant solves it. The assistant first thinks about the reasoning process in the mind and then provides the user with the answer.
User: A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves ... | Assume Olivia is a knight. No contradiction is found in their claim that Olivia is a knight or Harper is a knave.
Assume Harper is a knight. No contradiction is found in their claim that Ethan is a knave if and only if Olivia is a knight.
Ethan cannot be a knight, because this would contradict the claim of Harper that ... | math | {
"ground_truth": {
"names": [
"Olivia",
"Harper",
"Ethan"
],
"solution": [
false,
true,
true
],
"solution_text_format": "(1) Olivia is a knave\n(2) Harper is a knight\n(3) Ethan is a knight",
"statements": "(('or', ('telling-truth', 0), ('lying', 1)), ('<=>... | {
"index": 26,
"split": "train"
} |
kk_logic | [
{
"content": "A conversation between User and Assistant. The user asks a question, and the Assistant solves it. The assistant first thinks about the reasoning process in the mind and then provides the user with the answer.\nUser: A very special island is inhabited only by knights and knaves. Knights always tell... | [
"Assume Evelyn is a knight. ",
"No contradiction is found in their claim that Joseph is a knight if and only if Emily is a knave.\n",
"Assume Joseph is a knight. ",
"No contradiction is found in their claim that Emily is a knight.\n",
"Emily cannot be a knight, because this would contradict the claim of Eve... | A conversation between User and Assistant. The user asks a question, and the Assistant solves it. The assistant first thinks about the reasoning process in the mind and then provides the user with the answer.
User: A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves ... | Assume Evelyn is a knight. No contradiction is found in their claim that Joseph is a knight if and only if Emily is a knave.
Assume Joseph is a knight. No contradiction is found in their claim that Emily is a knight.
Emily cannot be a knight, because this would contradict the claim of Evelyn that Joseph is a knight if ... | math | {
"ground_truth": {
"names": [
"Evelyn",
"Joseph",
"Emily"
],
"solution": [
false,
true,
true
],
"solution_text_format": "(1) Evelyn is a knave\n(2) Joseph is a knight\n(3) Emily is a knight",
"statements": "(('<=>', ('telling-truth', 1), ('lying', 2)), ('te... | {
"index": 27,
"split": "train"
} |
kk_logic | [
{
"content": "A conversation between User and Assistant. The user asks a question, and the Assistant solves it. The assistant first thinks about the reasoning process in the mind and then provides the user with the answer.\nUser: A very special island is inhabited only by knights and knaves. Knights always tell... | [
"Assume Scarlett is a knight. ",
"No contradiction is found in their claim that Benjamin is a knight.\n",
"Benjamin cannot be a knight, because this would contradict the claim of their own that Benjamin is a knight if and only if Scarlett is a knave.\n",
"Benjamin cannot be a knave, because this would contrad... | A conversation between User and Assistant. The user asks a question, and the Assistant solves it. The assistant first thinks about the reasoning process in the mind and then provides the user with the answer.
User: A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves ... | Assume Scarlett is a knight. No contradiction is found in their claim that Benjamin is a knight.
Benjamin cannot be a knight, because this would contradict the claim of their own that Benjamin is a knight if and only if Scarlett is a knave.
Benjamin cannot be a knave, because this would contradict the claim of Scarlett... | math | {
"ground_truth": {
"names": [
"Scarlett",
"Ava",
"Benjamin"
],
"solution": [
false,
false,
false
],
"solution_text_format": "(1) Scarlett is a knave\n(2) Ava is a knave\n(3) Benjamin is a knave",
"statements": "(('telling-truth', 2), ('and', ('lying', 0), (... | {
"index": 28,
"split": "train"
} |
kk_logic | [
{
"content": "A conversation between User and Assistant. The user asks a question, and the Assistant solves it. The assistant first thinks about the reasoning process in the mind and then provides the user with the answer.\nUser: A very special island is inhabited only by knights and knaves. Knights always tell... | [
"Assume Daniel is a knight. ",
"No contradiction is found in their claim that Daniel is a knight if and only if Isabella is a knight.\n",
"Assume Isabella is a knight. ",
"No contradiction is found in their claim that Daniel is a knight.\n",
"Victoria cannot be a knight, because this would contradict the cl... | A conversation between User and Assistant. The user asks a question, and the Assistant solves it. The assistant first thinks about the reasoning process in the mind and then provides the user with the answer.
User: A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves ... | Assume Daniel is a knight. No contradiction is found in their claim that Daniel is a knight if and only if Isabella is a knight.
Assume Isabella is a knight. No contradiction is found in their claim that Daniel is a knight.
Victoria cannot be a knight, because this would contradict the claim of their own that Isabella ... | math | {
"ground_truth": {
"names": [
"Daniel",
"Isabella",
"Victoria"
],
"solution": [
true,
true,
false
],
"solution_text_format": "(1) Daniel is a knight\n(2) Isabella is a knight\n(3) Victoria is a knave",
"statements": "(('<=>', ('telling-truth', 0), ('telling... | {
"index": 29,
"split": "train"
} |
kk_logic | [
{
"content": "A conversation between User and Assistant. The user asks a question, and the Assistant solves it. The assistant first thinks about the reasoning process in the mind and then provides the user with the answer.\nUser: A very special island is inhabited only by knights and knaves. Knights always tell... | [
"Assume Liam is a knight. ",
"No contradiction is found in their claim that Matthew is a knave if and only if Luke is a knave.\n",
"Assume Matthew is a knight. ",
"No contradiction is found in their claim that Luke is a knight or Luke is a knave.\n",
"Luke cannot be a knight, because this would contradict t... | A conversation between User and Assistant. The user asks a question, and the Assistant solves it. The assistant first thinks about the reasoning process in the mind and then provides the user with the answer.
User: A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves ... | Assume Liam is a knight. No contradiction is found in their claim that Matthew is a knave if and only if Luke is a knave.
Assume Matthew is a knight. No contradiction is found in their claim that Luke is a knight or Luke is a knave.
Luke cannot be a knight, because this would contradict the claim of their own that If M... | math | {
"ground_truth": {
"names": [
"Liam",
"Luke",
"Matthew"
],
"solution": [
false,
false,
true
],
"solution_text_format": "(1) Liam is a knave\n(2) Luke is a knave\n(3) Matthew is a knight",
"statements": "(('<=>', ('lying', 2), ('lying', 1)), ('->', ('telling... | {
"index": 30,
"split": "train"
} |
kk_logic | [
{
"content": "A conversation between User and Assistant. The user asks a question, and the Assistant solves it. The assistant first thinks about the reasoning process in the mind and then provides the user with the answer.\nUser: A very special island is inhabited only by knights and knaves. Knights always tell... | [
"Noah 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.\n",
"Assume Noah is a knave. ",
"No contradiction is found in their false claim that Isabella is a knight if and only if Isabella is a knave.\n",
"Assume Isabella is a k... | A conversation between User and Assistant. The user asks a question, and the Assistant solves it. The assistant first thinks about the reasoning process in the mind and then provides the user with the answer.
User: A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves ... | Noah 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 Noah is a knave. No contradiction is found in their false claim that Isabella is a knight if and only if Isabella is a knave.
Assume Isabella is a knight. No contradiction i... | math | {
"ground_truth": {
"names": [
"Noah",
"Amelia",
"Isabella"
],
"solution": [
false,
false,
true
],
"solution_text_format": "(1) Noah is a knave\n(2) Amelia is a knave\n(3) Isabella is a knight",
"statements": "(('<=>', ('telling-truth', 2), ('lying', 2)), ('... | {
"index": 31,
"split": "train"
} |
kk_logic | [
{
"content": "A conversation between User and Assistant. The user asks a question, and the Assistant solves it. The assistant first thinks about the reasoning process in the mind and then provides the user with the answer.\nUser: A very special island is inhabited only by knights and knaves. Knights always tell... | [
"Assume Riley is a knight. ",
"No contradiction is found in their claim that Mia is a knave or Matthew is a knave.\n",
"Assume Mia is a knight. ",
"No contradiction is found in their claim that Matthew is a knight.\n",
"Matthew cannot be a knight, because this would contradict the claim of Riley that Mia is... | A conversation between User and Assistant. The user asks a question, and the Assistant solves it. The assistant first thinks about the reasoning process in the mind and then provides the user with the answer.
User: A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves ... | Assume Riley is a knight. No contradiction is found in their claim that Mia is a knave or Matthew is a knave.
Assume Mia is a knight. No contradiction is found in their claim that Matthew is a knight.
Matthew cannot be a knight, because this would contradict the claim of Riley that Mia is a knave or Matthew is a knave.... | math | {
"ground_truth": {
"names": [
"Riley",
"Mia",
"Matthew"
],
"solution": [
true,
false,
false
],
"solution_text_format": "(1) Riley is a knight\n(2) Mia is a knave\n(3) Matthew is a knave",
"statements": "(('or', ('lying', 1), ('lying', 2)), ('telling-truth',... | {
"index": 32,
"split": "train"
} |
kk_logic | [
{
"content": "A conversation between User and Assistant. The user asks a question, and the Assistant solves it. The assistant first thinks about the reasoning process in the mind and then provides the user with the answer.\nUser: A very special island is inhabited only by knights and knaves. Knights always tell... | [
"Assume Aurora is a knight. ",
"No contradiction is found in their claim that Jack is a knight or Charlotte is a knave.\n",
"Jack cannot be a knight, because this would contradict the claim of their own that Aurora is not a knight.\n",
"Assume Jack is a knave. ",
"No contradiction is found in their false cl... | A conversation between User and Assistant. The user asks a question, and the Assistant solves it. The assistant first thinks about the reasoning process in the mind and then provides the user with the answer.
User: A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves ... | Assume Aurora is a knight. No contradiction is found in their claim that Jack is a knight or Charlotte is a knave.
Jack cannot be a knight, because this would contradict the claim of their own that Aurora is not a knight.
Assume Jack is a knave. No contradiction is found in their false claim that Aurora is not a knight... | math | {
"ground_truth": {
"names": [
"Aurora",
"Charlotte",
"Jack"
],
"solution": [
true,
false,
false
],
"solution_text_format": "(1) Aurora is a knight\n(2) Charlotte is a knave\n(3) Jack is a knave",
"statements": "(('or', ('telling-truth', 2), ('lying', 1)), (... | {
"index": 33,
"split": "train"
} |
kk_logic | [
{
"content": "A conversation between User and Assistant. The user asks a question, and the Assistant solves it. The assistant first thinks about the reasoning process in the mind and then provides the user with the answer.\nUser: A very special island is inhabited only by knights and knaves. Knights always tell... | [
"Assume Scarlett is a knight. ",
"No contradiction is found in their claim that Aiden is a knight or Scarlett is a knight.\n",
"Assume Aiden is a knight. ",
"No contradiction is found in their claim that Scarlett is a knave or Jacob is a knight.\n",
"Assume Jacob is a knight. ",
"No contradiction is found... | A conversation between User and Assistant. The user asks a question, and the Assistant solves it. The assistant first thinks about the reasoning process in the mind and then provides the user with the answer.
User: A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves ... | Assume Scarlett is a knight. No contradiction is found in their claim that Aiden is a knight or Scarlett is a knight.
Assume Aiden is a knight. No contradiction is found in their claim that Scarlett is a knave or Jacob is a knight.
Assume Jacob is a knight. No contradiction is found in their claim that Aiden is a knigh... | math | {
"ground_truth": {
"names": [
"Scarlett",
"Jacob",
"Aiden"
],
"solution": [
true,
true,
true
],
"solution_text_format": "(1) Scarlett is a knight\n(2) Jacob is a knight\n(3) Aiden is a knight",
"statements": "(('or', ('telling-truth', 2), ('telling-truth', ... | {
"index": 34,
"split": "train"
} |
kk_logic | [
{
"content": "A conversation between User and Assistant. The user asks a question, and the Assistant solves it. The assistant first thinks about the reasoning process in the mind and then provides the user with the answer.\nUser: A very special island is inhabited only by knights and knaves. Knights always tell... | [
"Assume Daniel is a knight. ",
"No contradiction is found in their claim that If Liam is a knight then Sofia is a knight.\n",
"Assume Liam is a knight. ",
"No contradiction is found in their claim that Sofia is a knave.\n",
"Sofia cannot be a knight, because this would contradict the claim of Liam that Sofi... | A conversation between User and Assistant. The user asks a question, and the Assistant solves it. The assistant first thinks about the reasoning process in the mind and then provides the user with the answer.
User: A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves ... | Assume Daniel is a knight. No contradiction is found in their claim that If Liam is a knight then Sofia is a knight.
Assume Liam is a knight. No contradiction is found in their claim that Sofia is a knave.
Sofia cannot be a knight, because this would contradict the claim of Liam that Sofia is a knave.
Sofia cannot be a... | math | {
"ground_truth": {
"names": [
"Daniel",
"Sofia",
"Liam"
],
"solution": [
true,
true,
false
],
"solution_text_format": "(1) Daniel is a knight\n(2) Sofia is a knight\n(3) Liam is a knave",
"statements": "(('->', ('telling-truth', 2), ('telling-truth', 1)), (... | {
"index": 35,
"split": "train"
} |
kk_logic | [
{
"content": "A conversation between User and Assistant. The user asks a question, and the Assistant solves it. The assistant first thinks about the reasoning process in the mind and then provides the user with the answer.\nUser: A very special island is inhabited only by knights and knaves. Knights always tell... | [
"Assume Avery is a knight. ",
"No contradiction is found in their claim that Isabella is not a knave.\n",
"Assume Isabella is a knight. ",
"No contradiction is found in their claim that Victoria is a knight or Avery is a knave.\n",
"Assume Victoria is a knight. ",
"No contradiction is found in their claim... | A conversation between User and Assistant. The user asks a question, and the Assistant solves it. The assistant first thinks about the reasoning process in the mind and then provides the user with the answer.
User: A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves ... | Assume Avery is a knight. No contradiction is found in their claim that Isabella is not a knave.
Assume Isabella is a knight. No contradiction is found in their claim that Victoria is a knight or Avery is a knave.
Assume Victoria is a knight. No contradiction is found in their claim that Avery is not a knave.
Therefore... | math | {
"ground_truth": {
"names": [
"Avery",
"Victoria",
"Isabella"
],
"solution": [
true,
true,
true
],
"solution_text_format": "(1) Avery is a knight\n(2) Victoria is a knight\n(3) Isabella is a knight",
"statements": "(('not', ('lying', 2)), ('not', ('lying', ... | {
"index": 36,
"split": "train"
} |
kk_logic | [
{
"content": "A conversation between User and Assistant. The user asks a question, and the Assistant solves it. The assistant first thinks about the reasoning process in the mind and then provides the user with the answer.\nUser: A very special island is inhabited only by knights and knaves. Knights always tell... | [
"Assume Benjamin is a knight. ",
"No contradiction is found in their claim that If Olivia is a knight then Olivia is a knave.\n",
"Olivia cannot be a knight, because this would contradict the claim of Benjamin that If Olivia is a knight then Olivia is a knave.\n",
"Olivia cannot be a knave, because this would... | A conversation between User and Assistant. The user asks a question, and the Assistant solves it. The assistant first thinks about the reasoning process in the mind and then provides the user with the answer.
User: A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves ... | Assume Benjamin is a knight. No contradiction is found in their claim that If Olivia is a knight then Olivia is a knave.
Olivia cannot be a knight, because this would contradict the claim of Benjamin that If Olivia is a knight then Olivia is a knave.
Olivia cannot be a knave, because this would contradict the false cla... | math | {
"ground_truth": {
"names": [
"Benjamin",
"Olivia",
"Joseph"
],
"solution": [
false,
true,
true
],
"solution_text_format": "(1) Benjamin is a knave\n(2) Olivia is a knight\n(3) Joseph is a knight",
"statements": "(('->', ('telling-truth', 1), ('lying', 1)),... | {
"index": 37,
"split": "train"
} |
kk_logic | [
{
"content": "A conversation between User and Assistant. The user asks a question, and the Assistant solves it. The assistant first thinks about the reasoning process in the mind and then provides the user with the answer.\nUser: A very special island is inhabited only by knights and knaves. Knights always tell... | [
"Assume David is a knight. ",
"No contradiction is found in their claim that If David is a knight then Mason is a knight.\n",
"Assume Mason is a knight. ",
"No contradiction is found in their claim that David is a knight.\n",
"Assume Harper is a knight. ",
"No contradiction is found in their claim that Da... | A conversation between User and Assistant. The user asks a question, and the Assistant solves it. The assistant first thinks about the reasoning process in the mind and then provides the user with the answer.
User: A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves ... | Assume David is a knight. No contradiction is found in their claim that If David is a knight then Mason is a knight.
Assume Mason is a knight. No contradiction is found in their claim that David is a knight.
Assume Harper is a knight. No contradiction is found in their claim that David is a knight or Harper is a knight... | math | {
"ground_truth": {
"names": [
"David",
"Mason",
"Harper"
],
"solution": [
true,
true,
true
],
"solution_text_format": "(1) David is a knight\n(2) Mason is a knight\n(3) Harper is a knight",
"statements": "(('->', ('telling-truth', 0), ('telling-truth', 1)),... | {
"index": 38,
"split": "train"
} |
kk_logic | [
{
"content": "A conversation between User and Assistant. The user asks a question, and the Assistant solves it. The assistant first thinks about the reasoning process in the mind and then provides the user with the answer.\nUser: A very special island is inhabited only by knights and knaves. Knights always tell... | [
"Assume James is a knight. ",
"No contradiction is found in their claim that Evelyn is a knight or Evelyn is a knave.\n",
"Evelyn cannot be a knight, because this would contradict the claim of their own that Sophia is a knight and James is a knave.\n",
"Assume Evelyn is a knave. ",
"No contradiction is foun... | A conversation between User and Assistant. The user asks a question, and the Assistant solves it. The assistant first thinks about the reasoning process in the mind and then provides the user with the answer.
User: A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves ... | Assume James is a knight. No contradiction is found in their claim that Evelyn is a knight or Evelyn is a knave.
Evelyn cannot be a knight, because this would contradict the claim of their own that Sophia is a knight and James is a knave.
Assume Evelyn is a knave. No contradiction is found in their false claim that Sop... | math | {
"ground_truth": {
"names": [
"James",
"Sophia",
"Evelyn"
],
"solution": [
true,
false,
false
],
"solution_text_format": "(1) James is a knight\n(2) Sophia is a knave\n(3) Evelyn is a knave",
"statements": "(('or', ('telling-truth', 2), ('lying', 2)), ('and... | {
"index": 39,
"split": "train"
} |
kk_logic | [
{
"content": "A conversation between User and Assistant. The user asks a question, and the Assistant solves it. The assistant first thinks about the reasoning process in the mind and then provides the user with the answer.\nUser: A very special island is inhabited only by knights and knaves. Knights always tell... | [
"Assume Owen is a knight. ",
"No contradiction is found in their claim that Aurora is a knight or William is a knight.\n",
"Assume Aurora is a knight. ",
"No contradiction is found in their claim that If William is a knight then Owen is a knight.\n",
"William cannot be a knight, because this would contradic... | A conversation between User and Assistant. The user asks a question, and the Assistant solves it. The assistant first thinks about the reasoning process in the mind and then provides the user with the answer.
User: A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves ... | Assume Owen is a knight. No contradiction is found in their claim that Aurora is a knight or William is a knight.
Assume Aurora is a knight. No contradiction is found in their claim that If William is a knight then Owen is a knight.
William cannot be a knight, because this would contradict the claim of their own that I... | math | {
"ground_truth": {
"names": [
"Owen",
"William",
"Aurora"
],
"solution": [
true,
false,
true
],
"solution_text_format": "(1) Owen is a knight\n(2) William is a knave\n(3) Aurora is a knight",
"statements": "(('or', ('telling-truth', 2), ('telling-truth', 1)... | {
"index": 40,
"split": "train"
} |
kk_logic | [
{
"content": "A conversation between User and Assistant. The user asks a question, and the Assistant solves it. The assistant first thinks about the reasoning process in the mind and then provides the user with the answer.\nUser: A very special island is inhabited only by knights and knaves. Knights always tell... | [
"Assume Noah is a knight. ",
"No contradiction is found in their claim that If Sophia is a knight then Jacob is a knight.\n",
"Assume Sophia is a knight. ",
"No contradiction is found in their claim that Noah is a knight or Sophia is a knight.\n",
"Assume Jacob is a knight. ",
"No contradiction is found i... | A conversation between User and Assistant. The user asks a question, and the Assistant solves it. The assistant first thinks about the reasoning process in the mind and then provides the user with the answer.
User: A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves ... | Assume Noah is a knight. No contradiction is found in their claim that If Sophia is a knight then Jacob is a knight.
Assume Sophia is a knight. No contradiction is found in their claim that Noah is a knight or Sophia is a knight.
Assume Jacob is a knight. No contradiction is found in their claim that If Sophia is a kna... | math | {
"ground_truth": {
"names": [
"Noah",
"Jacob",
"Sophia"
],
"solution": [
true,
true,
true
],
"solution_text_format": "(1) Noah is a knight\n(2) Jacob is a knight\n(3) Sophia is a knight",
"statements": "(('->', ('telling-truth', 2), ('telling-truth', 1)), (... | {
"index": 41,
"split": "train"
} |
kk_logic | [
{
"content": "A conversation between User and Assistant. The user asks a question, and the Assistant solves it. The assistant first thinks about the reasoning process in the mind and then provides the user with the answer.\nUser: A very special island is inhabited only by knights and knaves. Knights always tell... | [
"Assume Charlotte is a knight. ",
"No contradiction is found in their claim that Henry is a knight.\n",
"Henry cannot be a knight, because this would contradict the claim of their own that Charlotte is a knave if and only if Henry is a knight.\n",
"Henry cannot be a knave, because this would contradict the cl... | A conversation between User and Assistant. The user asks a question, and the Assistant solves it. The assistant first thinks about the reasoning process in the mind and then provides the user with the answer.
User: A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves ... | Assume Charlotte is a knight. No contradiction is found in their claim that Henry is a knight.
Henry cannot be a knight, because this would contradict the claim of their own that Charlotte is a knave if and only if Henry is a knight.
Henry cannot be a knave, because this would contradict the claim of Charlotte that Hen... | math | {
"ground_truth": {
"names": [
"Charlotte",
"Henry",
"Riley"
],
"solution": [
false,
false,
false
],
"solution_text_format": "(1) Charlotte is a knave\n(2) Henry is a knave\n(3) Riley is a knave",
"statements": "(('telling-truth', 1), ('<=>', ('lying', 0), (... | {
"index": 42,
"split": "train"
} |
kk_logic | [
{
"content": "A conversation between User and Assistant. The user asks a question, and the Assistant solves it. The assistant first thinks about the reasoning process in the mind and then provides the user with the answer.\nUser: A very special island is inhabited only by knights and knaves. Knights always tell... | [
"Jack cannot be a knight, because this would contradict the claim of their own that Daniel is a knave if and only if Daniel is a knight.\n",
"Assume Jack is a knave. ",
"No contradiction is found in their false claim that Daniel is a knave if and only if Daniel is a knight.\n",
"Assume Daniel is a knight. ",
... | A conversation between User and Assistant. The user asks a question, and the Assistant solves it. The assistant first thinks about the reasoning process in the mind and then provides the user with the answer.
User: A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves ... | Jack cannot be a knight, because this would contradict the claim of their own that Daniel is a knave if and only if Daniel is a knight.
Assume Jack is a knave. No contradiction is found in their false claim that Daniel is a knave if and only if Daniel is a knight.
Assume Daniel is a knight. No contradiction is found in... | math | {
"ground_truth": {
"names": [
"Jack",
"Mason",
"Daniel"
],
"solution": [
false,
true,
true
],
"solution_text_format": "(1) Jack is a knave\n(2) Mason is a knight\n(3) Daniel is a knight",
"statements": "(('<=>', ('lying', 2), ('telling-truth', 2)), ('<=>', ... | {
"index": 43,
"split": "train"
} |
kk_logic | [
{
"content": "A conversation between User and Assistant. The user asks a question, and the Assistant solves it. The assistant first thinks about the reasoning process in the mind and then provides the user with the answer.\nUser: A very special island is inhabited only by knights and knaves. Knights always tell... | [
"Assume Lucas is a knight. ",
"No contradiction is found in their claim that Evelyn is a knight if and only if Jack is a knight.\n",
"Assume Evelyn is a knight. ",
"No contradiction is found in their claim that Evelyn is a knight or Jack is a knight.\n",
"Jack cannot be a knight, because this would contradi... | A conversation between User and Assistant. The user asks a question, and the Assistant solves it. The assistant first thinks about the reasoning process in the mind and then provides the user with the answer.
User: A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves ... | Assume Lucas is a knight. No contradiction is found in their claim that Evelyn is a knight if and only if Jack is a knight.
Assume Evelyn is a knight. No contradiction is found in their claim that Evelyn is a knight or Jack is a knight.
Jack cannot be a knight, because this would contradict the claim of their own that ... | math | {
"ground_truth": {
"names": [
"Lucas",
"Evelyn",
"Jack"
],
"solution": [
false,
true,
false
],
"solution_text_format": "(1) Lucas is a knave\n(2) Evelyn is a knight\n(3) Jack is a knave",
"statements": "(('<=>', ('telling-truth', 1), ('telling-truth', 2)), ... | {
"index": 44,
"split": "train"
} |
kk_logic | [
{
"content": "A conversation between User and Assistant. The user asks a question, and the Assistant solves it. The assistant first thinks about the reasoning process in the mind and then provides the user with the answer.\nUser: A very special island is inhabited only by knights and knaves. Knights always tell... | [
"Assume Logan is a knight. ",
"No contradiction is found in their claim that Alexander is a knave if and only if Logan is a knight.\n",
"Alexander cannot be a knight, because this would contradict the claim of Logan that Alexander is a knave if and only if Logan is a knight.\n",
"Assume Alexander is a knave. ... | A conversation between User and Assistant. The user asks a question, and the Assistant solves it. The assistant first thinks about the reasoning process in the mind and then provides the user with the answer.
User: A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves ... | Assume Logan is a knight. No contradiction is found in their claim that Alexander is a knave if and only if Logan is a knight.
Alexander cannot be a knight, because this would contradict the claim of Logan that Alexander is a knave if and only if Logan is a knight.
Assume Alexander is a knave. No contradiction is found... | math | {
"ground_truth": {
"names": [
"Logan",
"Michael",
"Alexander"
],
"solution": [
true,
false,
false
],
"solution_text_format": "(1) Logan is a knight\n(2) Michael is a knave\n(3) Alexander is a knave",
"statements": "(('<=>', ('lying', 2), ('telling-truth', 0... | {
"index": 45,
"split": "train"
} |
kk_logic | [
{
"content": "A conversation between User and Assistant. The user asks a question, and the Assistant solves it. The assistant first thinks about the reasoning process in the mind and then provides the user with the answer.\nUser: A very special island is inhabited only by knights and knaves. Knights always tell... | [
"Assume Luke is a knight. ",
"No contradiction is found in their claim that Elizabeth is not a knave.\n",
"Assume Elizabeth is a knight. ",
"No contradiction is found in their claim that Elizabeth is a knight if and only if Zoey is a knave.\n",
"Zoey cannot be a knight, because this would contradict the cla... | A conversation between User and Assistant. The user asks a question, and the Assistant solves it. The assistant first thinks about the reasoning process in the mind and then provides the user with the answer.
User: A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves ... | Assume Luke is a knight. No contradiction is found in their claim that Elizabeth is not a knave.
Assume Elizabeth is a knight. No contradiction is found in their claim that Elizabeth is a knight if and only if Zoey is a knave.
Zoey cannot be a knight, because this would contradict the claim of their own that If Elizabe... | math | {
"ground_truth": {
"names": [
"Luke",
"Zoey",
"Elizabeth"
],
"solution": [
true,
false,
true
],
"solution_text_format": "(1) Luke is a knight\n(2) Zoey is a knave\n(3) Elizabeth is a knight",
"statements": "(('not', ('lying', 2)), ('->', ('telling-truth', 2... | {
"index": 46,
"split": "train"
} |
kk_logic | [
{
"content": "A conversation between User and Assistant. The user asks a question, and the Assistant solves it. The assistant first thinks about the reasoning process in the mind and then provides the user with the answer.\nUser: A very special island is inhabited only by knights and knaves. Knights always tell... | [
"Benjamin cannot be a knight, because this would contradict the claim of their own that Samuel is a knight if and only if Samuel is a knave.\n",
"Assume Benjamin is a knave. ",
"No contradiction is found in their false claim that Samuel is a knight if and only if Samuel is a knave.\n",
"Samuel cannot be a kni... | A conversation between User and Assistant. The user asks a question, and the Assistant solves it. The assistant first thinks about the reasoning process in the mind and then provides the user with the answer.
User: A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves ... | Benjamin cannot be a knight, because this would contradict the claim of their own that Samuel is a knight if and only if Samuel is a knave.
Assume Benjamin is a knave. No contradiction is found in their false claim that Samuel is a knight if and only if Samuel is a knave.
Samuel cannot be a knight, because this would c... | math | {
"ground_truth": {
"names": [
"Benjamin",
"Sophia",
"Samuel"
],
"solution": [
false,
true,
false
],
"solution_text_format": "(1) Benjamin is a knave\n(2) Sophia is a knight\n(3) Samuel is a knave",
"statements": "(('<=>', ('telling-truth', 2), ('lying', 2))... | {
"index": 47,
"split": "train"
} |
kk_logic | [
{
"content": "A conversation between User and Assistant. The user asks a question, and the Assistant solves it. The assistant first thinks about the reasoning process in the mind and then provides the user with the answer.\nUser: A very special island is inhabited only by knights and knaves. Knights always tell... | [
"Assume Mia is a knight. ",
"No contradiction is found in their claim that Zoey is a knave if and only if Mia is a knight.\n",
"Zoey cannot be a knight, because this would contradict the claim of Mia that Zoey is a knave if and only if Mia is a knight.\n",
"Assume Zoey is a knave. ",
"No contradiction is fo... | A conversation between User and Assistant. The user asks a question, and the Assistant solves it. The assistant first thinks about the reasoning process in the mind and then provides the user with the answer.
User: A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves ... | Assume Mia is a knight. No contradiction is found in their claim that Zoey is a knave if and only if Mia is a knight.
Zoey cannot be a knight, because this would contradict the claim of Mia that Zoey is a knave if and only if Mia is a knight.
Assume Zoey is a knave. No contradiction is found in their false claim that O... | math | {
"ground_truth": {
"names": [
"Mia",
"Oliver",
"Zoey"
],
"solution": [
true,
false,
false
],
"solution_text_format": "(1) Mia is a knight\n(2) Oliver is a knave\n(3) Zoey is a knave",
"statements": "(('<=>', ('lying', 2), ('telling-truth', 0)), ('lying', 0)... | {
"index": 48,
"split": "train"
} |
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