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question string | answer string | metadata unknown |
|---|---|---|
Consider these statements:
1. Some chefs are butterflies
2. Some butterflies are elephants
Does it logically follow that:
Some butterflies are chefs?
(Answer Yes or No) | Yes | {
"source_dataset": "syllogism",
"source_index": 0,
"premise1": "Some chefs are butterflies",
"premise2": "Some butterflies are elephants",
"selected_premise": 1,
"conclusion": "Some butterflies are chefs",
"is_valid": true,
"type": "inversion"
} |
A very special island is inhabited only by saints and sinners. Saints always tell the truth, and sinners always lie. You meet 2 inhabitants: Samuel, and Jacob. Samuel expressed that if Samuel is a saint then Jacob is a sinner. Jacob was heard saying, "if Samuel is a saint then Samuel is a sinner". So who is a saint and... | Samuel is a saint, and Jacob is a sinner. | {
"source_dataset": "knights_knaves",
"source_index": 1,
"statements": [
[
"->",
[
"telling-truth",
0
],
[
"lying",
1
]
],
[
"->",
[
"telling-truth",
0
],
[
"lying",
0
]
]
... |
This is a logic puzzle. There are 4 houses (numbered 1 on the left, 4 on the right), from the perspective of someone standing across the street from them. Each has a different person in them. They have different characteristics:
- Each person has a unique name: carol, alice, arnold, bob
- Each person has a favorite d... | carol | {
"source_dataset": "zebra_puzzles",
"source_index": 2,
"difficulty": {
"num_people": 4,
"num_characteristics": 4
}
} |
A very special island is inhabited only by altruists and egoists. Altruists always tell the truth, and egoists always lie. You meet 2 inhabitants: Mason, and Jack. Mason expressed that if Jack is an egoist then Mason is an altruist. In Jack's words: "Mason is an egoist". So who is an altruist and who is an egoist? (For... | Mason is an altruist, and Jack is an egoist. | {
"source_dataset": "knights_knaves",
"source_index": 3,
"statements": [
[
"->",
[
"lying",
1
],
[
"telling-truth",
0
]
],
[
"not",
[
"telling-truth",
0
]
]
],
"solution": [
true,
false
],... |
Sarah has 2 brothers and she also has 2 sisters. How many sisters does Sarah's brother have? | 3 | {
"source_dataset": "aiw",
"source_index": 4,
"task_type": "siblings",
"difficulty": {
"task_type_weights": [
0.33333333330000003,
0.33333333330000003,
0.33333333330000003
],
"num_entities": 6
}
} |
This is a logic puzzle. There are 4 houses (numbered 1 on the left, 4 on the right), from the perspective of someone standing across the street from them. Each has a different person in them. They have different characteristics:
- Each person has a unique name: alice, carol, arnold, bob
- Everyone has a favorite smoo... | bob | {
"source_dataset": "zebra_puzzles",
"source_index": 5,
"difficulty": {
"num_people": 4,
"num_characteristics": 4
}
} |
Consider these statements:
1. No engineers are lions
2. Some lions are dolphins
Does it logically follow that:
Some dolphins are lions?
(Answer Yes or No) | Yes | {
"source_dataset": "syllogism",
"source_index": 6,
"premise1": "No engineers are lions",
"premise2": "Some lions are dolphins",
"selected_premise": 2,
"conclusion": "Some dolphins are lions",
"is_valid": true,
"type": "inversion"
} |
A very special island is inhabited only by altruists and egoists. Altruists always tell the truth, and egoists always lie. You meet 2 inhabitants: Riley, and Lily. Riley commented, "Riley is an altruist if and only if Lily is an altruist". In Lily's words: "Riley is an egoist". So who is an altruist and who is an egois... | Riley is an egoist, and Lily is an altruist. | {
"source_dataset": "knights_knaves",
"source_index": 7,
"statements": [
[
"<=>",
[
"telling-truth",
0
],
[
"telling-truth",
1
]
],
[
"not",
[
"telling-truth",
0
]
]
],
"solution": [
false,
... |
This is a logic puzzle. There are 4 houses (numbered 1 on the left, 4 on the right), from the perspective of someone standing across the street from them. Each has a different person in them. They have different characteristics:
- Each person has a unique name: alice, carol, bob, arnold
- The people are of nationalit... | bob | {
"source_dataset": "zebra_puzzles",
"source_index": 8,
"difficulty": {
"num_people": 4,
"num_characteristics": 4
}
} |
A very special island is inhabited only by heros and villains. Heros always tell the truth, and villains always lie. You meet 2 inhabitants: Benjamin, and Chloe. As Benjamin put it, "if Chloe is a hero then Benjamin is a hero". Chloe expressed that Benjamin is a hero and Benjamin is a villain. So who is a hero and who ... | Benjamin is a hero, and Chloe is a villain. | {
"source_dataset": "knights_knaves",
"source_index": 9,
"statements": [
[
"->",
[
"telling-truth",
1
],
[
"telling-truth",
0
]
],
[
"and",
[
"telling-truth",
0
],
[
"lying",
0
]... |
Matthew is married to Margaret. They have a child called Robert. Robert is married to Victoria. They have children called Chloe and Ava. Finn is married to Anna. They have a child called Victoria.
How is Margaret related to Matthew? Provide the relationship in one word. | wife | {
"source_dataset": "family_relationships",
"source_index": 10,
"person1": "Margaret",
"person2": "Matthew",
"relationship": "wife",
"family_size": 8,
"difficulty": {
"family_size": [
4,
8
]
}
} |
Consider these statements:
1. Some dolphins are mortals
2. All mortals are horses
Does it logically follow that:
Some dolphins are horses?
(Answer Yes or No) | Yes | {
"source_dataset": "syllogism",
"source_index": 11,
"premise1": "Some dolphins are mortals",
"premise2": "All mortals are horses",
"conclusion": "Some dolphins are horses",
"is_valid": true,
"type": "syllogism"
} |
Henry is married to Willow. They have a child called Charles. Charles is married to Sophia. They have children called Owen and Jennifer.
What relation is Henry to Willow? Answer with a single word. | husband | {
"source_dataset": "family_relationships",
"source_index": 12,
"person1": "Henry",
"person2": "Willow",
"relationship": "husband",
"family_size": 6,
"difficulty": {
"family_size": [
4,
8
]
}
} |
A very special island is inhabited only by saints and sinners. Saints always tell the truth, and sinners always lie. You meet 2 inhabitants: Aria, and Jacob. "Jacob is a saint" - Aria. "Aria is a sinner and Aria is a saint," Jacob declared. So who is a saint and who is a sinner? (Format your answer like: "Aria is a sai... | Aria is a sinner, and Jacob is a sinner. | {
"source_dataset": "knights_knaves",
"source_index": 13,
"statements": [
[
"telling-truth",
1
],
[
"and",
[
"lying",
0
],
[
"telling-truth",
0
]
]
],
"solution": [
false,
false
],
"names": [
"Aria",
... |
Daniel is married to Elizabeth. They have a child called Oliver. Oliver is married to Amelia. They have children called Kai and James. Edward is married to Lily. They have a child called Amelia.
What is Edward to Kai? Respond only with the word that describes their relationship. | grandfather | {
"source_dataset": "family_relationships",
"source_index": 14,
"person1": "Edward",
"person2": "Kai",
"relationship": "grandfather",
"family_size": 8,
"difficulty": {
"family_size": [
4,
8
]
}
} |
A very special island is inhabited only by heros and villains. Heros always tell the truth, and villains always lie. You meet 2 inhabitants: Olivia, and Sofia. In Olivia's words: "Sofia is a hero and Sofia is a villain". Sofia remarked, "Olivia is a villain or Sofia is a hero". So who is a hero and who is a villain? (F... | Olivia is a villain, and Sofia is a hero. | {
"source_dataset": "knights_knaves",
"source_index": 15,
"statements": [
[
"and",
[
"telling-truth",
1
],
[
"lying",
1
]
],
[
"or",
[
"lying",
0
],
[
"telling-truth",
1
]
]
... |
Consider these statements:
1. Some elephants are artists
2. Some artists are dolphins
Does it logically follow that:
Some artists are elephants?
(Answer Yes or No) | Yes | {
"source_dataset": "syllogism",
"source_index": 16,
"premise1": "Some elephants are artists",
"premise2": "Some artists are dolphins",
"selected_premise": 1,
"conclusion": "Some artists are elephants",
"is_valid": true,
"type": "inversion"
} |
A very special island is inhabited only by pioneers and laggards. Pioneers always tell the truth, and laggards always lie. You meet 2 inhabitants: Benjamin, and Sofia. Benjamin asserted: "Benjamin is a pioneer or Sofia is a laggard". Sofia commented, "Benjamin is a pioneer if and only if Benjamin is a laggard". So who ... | Benjamin is a pioneer, and Sofia is a laggard. | {
"source_dataset": "knights_knaves",
"source_index": 17,
"statements": [
[
"or",
[
"telling-truth",
0
],
[
"lying",
1
]
],
[
"<=>",
[
"telling-truth",
0
],
[
"lying",
0
]
]
... |
This is a logic puzzle. There are 4 houses (numbered 1 on the left, 4 on the right), from the perspective of someone standing across the street from them. Each has a different person in them. They have different characteristics:
- Each person has a unique name: arnold, bob, alice, carol
- Each person has a favorite c... | arnold | {
"source_dataset": "zebra_puzzles",
"source_index": 18,
"difficulty": {
"num_people": 4,
"num_characteristics": 4
}
} |
This is a logic puzzle. There are 4 houses (numbered 1 on the left, 4 on the right), from the perspective of someone standing across the street from them. Each has a different person in them. They have different characteristics:
- Each person has a unique name: carol, alice, arnold, bob
- The people are of nationalit... | carol | {
"source_dataset": "zebra_puzzles",
"source_index": 19,
"difficulty": {
"num_people": 4,
"num_characteristics": 4
}
} |
Owen is married to Jessica. They have a child called George. George is married to Chloe. They have a child called Isabella. Atlas is married to Sage. They have a child called Chloe.
What is George to Chloe? Respond only with the word that describes their relationship. | husband | {
"source_dataset": "family_relationships",
"source_index": 20,
"person1": "George",
"person2": "Chloe",
"relationship": "husband",
"family_size": 7,
"difficulty": {
"family_size": [
4,
8
]
}
} |
This is a logic puzzle. There are 4 houses (numbered 1 on the left, 4 on the right), from the perspective of someone standing across the street from them. Each has a different person in them. They have different characteristics:
- Each person has a unique name: carol, bob, arnold, alice
- Each person has a favorite c... | alice | {
"source_dataset": "zebra_puzzles",
"source_index": 21,
"difficulty": {
"num_people": 4,
"num_characteristics": 4
}
} |
This is a logic puzzle. There are 4 houses (numbered 1 on the left, 4 on the right), from the perspective of someone standing across the street from them. Each has a different person in them. They have different characteristics:
- Each person has a unique name: arnold, alice, carol, bob
- People use different phone m... | bob | {
"source_dataset": "zebra_puzzles",
"source_index": 22,
"difficulty": {
"num_people": 4,
"num_characteristics": 4
}
} |
This is a logic puzzle. There are 4 houses (numbered 1 on the left, 4 on the right), from the perspective of someone standing across the street from them. Each has a different person in them. They have different characteristics:
- Each person has a unique name: bob, alice, carol, arnold
- Each person has a favorite c... | arnold | {
"source_dataset": "zebra_puzzles",
"source_index": 23,
"difficulty": {
"num_people": 4,
"num_characteristics": 4
}
} |
A very special island is inhabited only by altruists and egoists. Altruists always tell the truth, and egoists always lie. You meet 2 inhabitants: Scarlett, and Daniel. Scarlett stated, "if Scarlett is an altruist then Daniel is an altruist". In Daniel's words: "Daniel is an altruist or Scarlett is an egoist". So who i... | Scarlett is an altruist, and Daniel is an altruist. | {
"source_dataset": "knights_knaves",
"source_index": 24,
"statements": [
[
"->",
[
"telling-truth",
0
],
[
"telling-truth",
1
]
],
[
"or",
[
"telling-truth",
1
],
[
"lying",
0
]... |
A very special island is inhabited only by sages and fools. Sages always tell the truth, and fools always lie. You meet 2 inhabitants: Abigail, and David. As Abigail put it, "David is a sage if and only if David is a fool". David said that Abigail is a fool. So who is a sage and who is a fool? (Format your answer like:... | Abigail is a fool, and David is a sage. | {
"source_dataset": "knights_knaves",
"source_index": 25,
"statements": [
[
"<=>",
[
"telling-truth",
1
],
[
"lying",
1
]
],
[
"not",
[
"telling-truth",
0
]
]
],
"solution": [
false,
true
... |
The following question is a propositional logic reasoning question.
In the question we provide a list of premises. The task is to infer a correct conclusion from the premise.
FORMAT INSTRUCTIONS:
- Return the conclusion logic statement, as your final answer.
- Use the following notation to denote symbols
- OR = ∨... | null | {
"source_dataset": "propositional_logic",
"source_index": 26,
"premises": [
"(¬Q ∨ ¬P)",
"¬(Q ∨ P)",
"((Q ∨ P) ∧ (P → Q))",
"Q"
],
"variables": [
"P",
"Q"
],
"complexity": 3,
"example_answer": "(Q ∧ Q)",
"difficulty": {
"vars": [
2,
4
],
"statements": [... |
Consider these statements:
1. All parents are artists
2. No artists are birds
Does it logically follow that:
Some parents are not birds?
(Answer Yes or No) | Yes | {
"source_dataset": "syllogism",
"source_index": 27,
"premise1": "All parents are artists",
"premise2": "No artists are birds",
"conclusion": "Some parents are not birds",
"is_valid": true,
"type": "syllogism"
} |
Logan is married to Eleanor. They have a child called Matthew. Matthew is married to Ava. They have children called Lucas and Mia.
What is Ava to Eleanor? Respond only with the word that describes their relationship. | mother-in-law | {
"source_dataset": "family_relationships",
"source_index": 28,
"person1": "Ava",
"person2": "Eleanor",
"relationship": "mother-in-law",
"family_size": 6,
"difficulty": {
"family_size": [
4,
8
]
}
} |
This is a logic puzzle. There are 4 houses (numbered 1 on the left, 4 on the right), from the perspective of someone standing across the street from them. Each has a different person in them. They have different characteristics:
- Each person has a unique name: arnold, bob, carol, alice
- Everyone has something diffe... | arnold | {
"source_dataset": "zebra_puzzles",
"source_index": 29,
"difficulty": {
"num_people": 4,
"num_characteristics": 4
}
} |
A very special island is inhabited only by altruists and egoists. Altruists always tell the truth, and egoists always lie. You meet 2 inhabitants: Elizabeth, and Olivia. In Elizabeth's words: "Olivia is an egoist if and only if Olivia is an altruist". "Elizabeth is an altruist," Olivia mentioned. So who is an altruist ... | Elizabeth is an egoist, and Olivia is an egoist. | {
"source_dataset": "knights_knaves",
"source_index": 30,
"statements": [
[
"<=>",
[
"lying",
1
],
[
"telling-truth",
1
]
],
[
"telling-truth",
0
]
],
"solution": [
false,
false
],
"names": [
"Elizabeth",... |
A very special island is inhabited only by saints and sinners. Saints always tell the truth, and sinners always lie. You meet 2 inhabitants: Joseph, and Lily. In Joseph's words: "if Joseph is a saint then Lily is a sinner". Lily stated, "Joseph is a sinner". So who is a saint and who is a sinner? (Format your answer li... | Joseph is a saint, and Lily is a sinner. | {
"source_dataset": "knights_knaves",
"source_index": 31,
"statements": [
[
"->",
[
"telling-truth",
0
],
[
"lying",
1
]
],
[
"lying",
0
]
],
"solution": [
true,
false
],
"names": [
"Joseph",
"Lily"
... |
Barbara has 2 brothers and she also has 2 sisters. How many sisters does Barbara's brother have? | 3 | {
"source_dataset": "aiw",
"source_index": 32,
"task_type": "siblings",
"difficulty": {
"task_type_weights": [
0.33333333330000003,
0.33333333330000003,
0.33333333330000003
],
"num_entities": 6
}
} |
This is a logic puzzle. There are 4 houses (numbered 1 on the left, 4 on the right), from the perspective of someone standing across the street from them. Each has a different person in them. They have different characteristics:
- Each person has a unique name: arnold, bob, carol, alice
- People use different phone m... | arnold | {
"source_dataset": "zebra_puzzles",
"source_index": 33,
"difficulty": {
"num_people": 4,
"num_characteristics": 4
}
} |
This is a logic puzzle. There are 4 houses (numbered 1 on the left, 4 on the right), from the perspective of someone standing across the street from them. Each has a different person in them. They have different characteristics:
- Each person has a unique name: carol, bob, alice, arnold
- Each mother is accompanied b... | arnold | {
"source_dataset": "zebra_puzzles",
"source_index": 34,
"difficulty": {
"num_people": 4,
"num_characteristics": 4
}
} |
The following question is a propositional logic reasoning question.
In the question we provide a list of premises. The task is to infer a correct conclusion from the premise.
FORMAT INSTRUCTIONS:
- Return the conclusion logic statement, as your final answer.
- Use the following notation to denote symbols
- OR = ∨... | null | {
"source_dataset": "propositional_logic",
"source_index": 35,
"premises": [
"(S ↔ S)",
"Q",
"S"
],
"variables": [
"P",
"Q",
"R",
"S"
],
"complexity": 3,
"example_answer": "(R ∨ Q)",
"difficulty": {
"vars": [
2,
4
],
"statements": [
2,
4
... |
Jessica has 2 male friends and she also has 4 female friends. They all are friends with each other and have no other friends aside. How many female friends does John, a male friend of Jessica, have? | 5 | {
"source_dataset": "aiw",
"source_index": 36,
"task_type": "friends",
"difficulty": {
"task_type_weights": [
0.33333333330000003,
0.33333333330000003,
0.33333333330000003
],
"num_entities": 6
}
} |
A very special island is inhabited only by heros and villains. Heros always tell the truth, and villains always lie. You meet 2 inhabitants: David, and Harper. David asserted: "Harper is a hero and Harper is a villain". According to Harper, "David is a hero if and only if David is a villain". So who is a hero and who i... | David is a villain, and Harper is a villain. | {
"source_dataset": "knights_knaves",
"source_index": 37,
"statements": [
[
"and",
[
"telling-truth",
1
],
[
"lying",
1
]
],
[
"<=>",
[
"telling-truth",
0
],
[
"lying",
0
]
]... |
A very special island is inhabited only by heros and villains. Heros always tell the truth, and villains always lie. You meet 2 inhabitants: David, and Olivia. According to David, "Olivia is a villain". Olivia was heard saying, "Olivia is a hero and David is a hero". So who is a hero and who is a villain? (Format your ... | David is a hero, and Olivia is a villain. | {
"source_dataset": "knights_knaves",
"source_index": 38,
"statements": [
[
"not",
[
"telling-truth",
1
]
],
[
"and",
[
"telling-truth",
1
],
[
"telling-truth",
0
]
]
],
"solution": [
true,
... |
Consider these statements:
1. Some animals are children
2. No children are elephants
Does it logically follow that:
Some children are animals?
(Answer Yes or No) | Yes | {
"source_dataset": "syllogism",
"source_index": 39,
"premise1": "Some animals are children",
"premise2": "No children are elephants",
"selected_premise": 1,
"conclusion": "Some children are animals",
"is_valid": true,
"type": "inversion"
} |
A very special island is inhabited only by altruists and egoists. Altruists always tell the truth, and egoists always lie. You meet 2 inhabitants: James, and Victoria. James remarked, "Victoria is an altruist or James is an altruist". Victoria was heard saying, "James is an egoist". So who is an altruist and who is an ... | James is an altruist, and Victoria is an egoist. | {
"source_dataset": "knights_knaves",
"source_index": 40,
"statements": [
[
"or",
[
"telling-truth",
1
],
[
"telling-truth",
0
]
],
[
"not",
[
"telling-truth",
0
]
]
],
"solution": [
true,
f... |
This is a logic puzzle. There are 4 houses (numbered 1 on the left, 4 on the right), from the perspective of someone standing across the street from them. Each has a different person in them. They have different characteristics:
- Each person has a unique name: carol, bob, arnold, alice
- People use different phone m... | arnold | {
"source_dataset": "zebra_puzzles",
"source_index": 41,
"difficulty": {
"num_people": 4,
"num_characteristics": 4
}
} |
The following question is a propositional logic reasoning question.
In the question we provide a list of premises. The task is to infer a correct conclusion from the premise.
FORMAT INSTRUCTIONS:
- Return the conclusion logic statement, as your final answer.
- Use the following notation to denote symbols
- OR = ∨... | null | {
"source_dataset": "propositional_logic",
"source_index": 42,
"premises": [
"(R ∨ P)",
"(¬R ∧ (P → P))"
],
"variables": [
"P",
"Q",
"R"
],
"complexity": 3,
"example_answer": "(P ∨ Q)",
"difficulty": {
"vars": [
2,
4
],
"statements": [
2,
4
]... |
A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 2 inhabitants: Owen, and Charlotte. According to Owen, "Charlotte is a knave". Charlotte asserted: "if Charlotte is a knight then Owen is a knave". So who is a knight and who is a knave? (Format... | Owen is a knave, and Charlotte is a knight. | {
"source_dataset": "knights_knaves",
"source_index": 43,
"statements": [
[
"not",
[
"telling-truth",
1
]
],
[
"->",
[
"telling-truth",
1
],
[
"lying",
0
]
]
],
"solution": [
false,
true
]... |
The following question is a propositional logic reasoning question.
In the question we provide a list of premises. The task is to infer a correct conclusion from the premise.
FORMAT INSTRUCTIONS:
- Return the conclusion logic statement, as your final answer.
- Use the following notation to denote symbols
- OR = ∨... | null | {
"source_dataset": "propositional_logic",
"source_index": 44,
"premises": [
"Q",
"((Q ↔ Q) ↔ (Q → Q))",
"¬Q",
"P"
],
"variables": [
"P",
"Q"
],
"complexity": 3,
"example_answer": "(Q ∧ Q)",
"difficulty": {
"vars": [
2,
4
],
"statements": [
2,
... |
A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 2 inhabitants: Aiden, and Sophia. "if Aiden is a knight then Sophia is a knave," Aiden claimed. "Sophia is a knight and Aiden is a knight" - Sophia. So who is a knight and who is a knave? (Forma... | Aiden is a knight, and Sophia is a knave. | {
"source_dataset": "knights_knaves",
"source_index": 45,
"statements": [
[
"->",
[
"telling-truth",
0
],
[
"lying",
1
]
],
[
"and",
[
"telling-truth",
1
],
[
"telling-truth",
0
... |
This is a logic puzzle. There are 4 houses (numbered 1 on the left, 4 on the right), from the perspective of someone standing across the street from them. Each has a different person in them. They have different characteristics:
- Each person has a unique name: carol, arnold, alice, bob
- Each person has a favorite c... | alice | {
"source_dataset": "zebra_puzzles",
"source_index": 46,
"difficulty": {
"num_people": 4,
"num_characteristics": 4
}
} |
A very special island is inhabited only by pioneers and laggards. Pioneers always tell the truth, and laggards always lie. You meet 2 inhabitants: Owen, and Jackson. As Owen put it, "Jackson is a laggard and Jackson is a pioneer". Jackson expressed that Owen is a laggard or Jackson is a pioneer. So who is a pioneer and... | Owen is a laggard, and Jackson is a pioneer. | {
"source_dataset": "knights_knaves",
"source_index": 47,
"statements": [
[
"and",
[
"lying",
1
],
[
"telling-truth",
1
]
],
[
"or",
[
"lying",
0
],
[
"telling-truth",
1
]
]
... |
A very special island is inhabited only by heros and villains. Heros always tell the truth, and villains always lie. You meet 2 inhabitants: Avery, and Aiden. "Avery is a hero," Avery mentioned. Aiden expressed that if Aiden is a hero then Avery is a hero. So who is a hero and who is a villain? (Format your answer like... | Avery is a hero, and Aiden is a hero. | {
"source_dataset": "knights_knaves",
"source_index": 48,
"statements": [
[
"telling-truth",
0
],
[
"->",
[
"telling-truth",
1
],
[
"telling-truth",
0
]
]
],
"solution": [
true,
true
],
"names": [
"Avery"... |
A very special island is inhabited only by angels and devils. Angels always tell the truth, and devils always lie. You meet 2 inhabitants: Mason, and Sofia. Mason was heard saying, "Mason is an angel if and only if Sofia is an angel". Sofia asserted: "Mason is a devil if and only if Sofia is an angel". So who is an ang... | Mason is a devil, and Sofia is an angel. | {
"source_dataset": "knights_knaves",
"source_index": 49,
"statements": [
[
"<=>",
[
"telling-truth",
0
],
[
"telling-truth",
1
]
],
[
"<=>",
[
"lying",
0
],
[
"telling-truth",
1
... |
This is a logic puzzle. There are 4 houses (numbered 1 on the left, 4 on the right), from the perspective of someone standing across the street from them. Each has a different person in them. They have different characteristics:
- Each person has a unique name: carol, alice, arnold, bob
- Everyone has a different fav... | alice | {
"source_dataset": "zebra_puzzles",
"source_index": 50,
"difficulty": {
"num_people": 4,
"num_characteristics": 4
}
} |
Jacob is married to Anna. They have a child called Andrew. Andrew is married to Isabella. They have a child called David. Atlas is married to Lisa. They have a child called Isabella.
What relation is Isabella to Lisa? Answer with a single word. | daughter | {
"source_dataset": "family_relationships",
"source_index": 51,
"person1": "Isabella",
"person2": "Lisa",
"relationship": "daughter",
"family_size": 7,
"difficulty": {
"family_size": [
4,
8
]
}
} |
Consider these statements:
1. All musicians are bees
2. All bees are fish
Does it logically follow that:
All musicians are fish?
(Answer Yes or No) | Yes | {
"source_dataset": "syllogism",
"source_index": 52,
"premise1": "All musicians are bees",
"premise2": "All bees are fish",
"conclusion": "All musicians are fish",
"is_valid": true,
"type": "syllogism"
} |
The following question is a propositional logic reasoning question.
In the question we provide a list of premises. The task is to infer a correct conclusion from the premise.
FORMAT INSTRUCTIONS:
- Return the conclusion logic statement, as your final answer.
- Use the following notation to denote symbols
- OR = ∨... | null | {
"source_dataset": "propositional_logic",
"source_index": 53,
"premises": [
"R",
"P",
"P"
],
"variables": [
"P",
"Q",
"R"
],
"complexity": 3,
"example_answer": "(P ↔ R)",
"difficulty": {
"vars": [
2,
4
],
"statements": [
2,
4
],
"com... |
This is a logic puzzle. There are 4 houses (numbered 1 on the left, 4 on the right), from the perspective of someone standing across the street from them. Each has a different person in them. They have different characteristics:
- Each person has a unique name: carol, bob, alice, arnold
- The people are of nationalit... | bob | {
"source_dataset": "zebra_puzzles",
"source_index": 54,
"difficulty": {
"num_people": 4,
"num_characteristics": 4
}
} |
A very special island is inhabited only by heros and villains. Heros always tell the truth, and villains always lie. You meet 2 inhabitants: Lily, and Jack. As Lily put it, "Lily is a hero or Jack is a villain". Jack remarked, "if Jack is a hero then Lily is a villain". So who is a hero and who is a villain? (Format yo... | Lily is a villain, and Jack is a hero. | {
"source_dataset": "knights_knaves",
"source_index": 55,
"statements": [
[
"or",
[
"telling-truth",
0
],
[
"lying",
1
]
],
[
"->",
[
"telling-truth",
1
],
[
"lying",
0
]
]
... |
This is a logic puzzle. There are 4 houses (numbered 1 on the left, 4 on the right), from the perspective of someone standing across the street from them. Each has a different person in them. They have different characteristics:
- Each person has a unique name: carol, arnold, alice, bob
- Everyone has a different fav... | carol | {
"source_dataset": "zebra_puzzles",
"source_index": 56,
"difficulty": {
"num_people": 4,
"num_characteristics": 4
}
} |
This is a logic puzzle. There are 4 houses (numbered 1 on the left, 4 on the right), from the perspective of someone standing across the street from them. Each has a different person in them. They have different characteristics:
- Each person has a unique name: carol, alice, bob, arnold
- They all have a different fa... | arnold | {
"source_dataset": "zebra_puzzles",
"source_index": 57,
"difficulty": {
"num_people": 4,
"num_characteristics": 4
}
} |
A very special island is inhabited only by angels and devils. Angels always tell the truth, and devils always lie. You meet 2 inhabitants: Emma, and Jackson. Emma said, "Jackson is an angel if and only if Emma is an angel." Jackson remarked, "Emma is an angel". So who is an angel and who is a devil? (Format your answer... | Emma is an angel, and Jackson is an angel. | {
"source_dataset": "knights_knaves",
"source_index": 58,
"statements": [
[
"<=>",
[
"telling-truth",
1
],
[
"telling-truth",
0
]
],
[
"not",
[
"lying",
0
]
]
],
"solution": [
true,
true
]... |
Consider these statements:
1. No humans are musicians
2. All musicians are programmers
Does it logically follow that:
No humans are programmers?
(Answer Yes or No) | No | {
"source_dataset": "syllogism",
"source_index": 59,
"premise1": "No humans are musicians",
"premise2": "All musicians are programmers",
"conclusion": "No humans are programmers",
"is_valid": false,
"type": "syllogism"
} |
A very special island is inhabited only by heros and villains. Heros always tell the truth, and villains always lie. You meet 2 inhabitants: David, and Elizabeth. David was heard saying, "Elizabeth is a villain". Elizabeth noted, "David is a villain or David is a hero". So who is a hero and who is a villain? (Format yo... | David is a villain, and Elizabeth is a hero. | {
"source_dataset": "knights_knaves",
"source_index": 60,
"statements": [
[
"lying",
1
],
[
"or",
[
"lying",
0
],
[
"telling-truth",
0
]
]
],
"solution": [
false,
true
],
"names": [
"David",
"Elizabet... |
Andrew is married to Sophie. They have a child called Logan. Logan is married to Willow. They have children called Richard and Ava.
How is Richard related to Logan? Provide the relationship in one word. | son | {
"source_dataset": "family_relationships",
"source_index": 61,
"person1": "Richard",
"person2": "Logan",
"relationship": "son",
"family_size": 6,
"difficulty": {
"family_size": [
4,
8
]
}
} |
Phoenix is married to Charlotte. They have a child called Benjamin. Benjamin is married to Rain. They have a child called Jayden. Ethan is married to Hannah. They have a child called Rain.
What relation is Benjamin to Ethan? Answer with a single word. | father-in-law | {
"source_dataset": "family_relationships",
"source_index": 62,
"person1": "Benjamin",
"person2": "Ethan",
"relationship": "father-in-law",
"family_size": 7,
"difficulty": {
"family_size": [
4,
8
]
}
} |
Susan has 2 male colleagues and she also has 4 female colleagues. These are all colleagues that Susan has. All these mentioned persons around Susan are colleagues of each other. Charles has 4 male colleagues and 6 female colleagues in total. All these mentioned persons around Charles are colleagues of each other. The p... | 5 | {
"source_dataset": "aiw",
"source_index": 63,
"task_type": "colleagues",
"difficulty": {
"task_type_weights": [
0.33333333330000003,
0.33333333330000003,
0.33333333330000003
],
"num_entities": 6
}
} |
The following question is a propositional logic reasoning question.
In the question we provide a list of premises. The task is to infer a correct conclusion from the premise.
FORMAT INSTRUCTIONS:
- Return the conclusion logic statement, as your final answer.
- Use the following notation to denote symbols
- OR = ∨... | null | {
"source_dataset": "propositional_logic",
"source_index": 64,
"premises": [
"Q",
"¬R",
"((Q ↔ R) ∧ ¬R)",
"P"
],
"variables": [
"P",
"Q",
"R"
],
"complexity": 4,
"example_answer": "(¬R ∨ P)",
"difficulty": {
"vars": [
2,
4
],
"statements": [
2,... |
A very special island is inhabited only by heros and villains. Heros always tell the truth, and villains always lie. You meet 2 inhabitants: Benjamin, and Scarlett. Benjamin was heard saying, "if Benjamin is a hero then Scarlett is a hero". Scarlett stated, "Scarlett is a hero or Benjamin is a hero". So who is a hero a... | Benjamin is a hero, and Scarlett is a hero. | {
"source_dataset": "knights_knaves",
"source_index": 65,
"statements": [
[
"->",
[
"telling-truth",
0
],
[
"telling-truth",
1
]
],
[
"or",
[
"telling-truth",
1
],
[
"telling-truth",
0... |
A very special island is inhabited only by pioneers and laggards. Pioneers always tell the truth, and laggards always lie. You meet 2 inhabitants: Victoria, and Amelia. Victoria noted, "if Amelia is a pioneer then Amelia is a laggard". Amelia stated, "Victoria is a pioneer if and only if Amelia is a pioneer". So who is... | Victoria is a pioneer, and Amelia is a laggard. | {
"source_dataset": "knights_knaves",
"source_index": 66,
"statements": [
[
"->",
[
"telling-truth",
1
],
[
"lying",
1
]
],
[
"<=>",
[
"telling-truth",
0
],
[
"telling-truth",
1
... |
A very special island is inhabited only by sages and fools. Sages always tell the truth, and fools always lie. You meet 2 inhabitants: Sebastian, and Benjamin. "Benjamin is a fool," Sebastian declared. Benjamin remarked, "Sebastian is a sage if and only if Benjamin is a sage". So who is a sage and who is a fool? (Forma... | Sebastian is a sage, and Benjamin is a fool. | {
"source_dataset": "knights_knaves",
"source_index": 67,
"statements": [
[
"lying",
1
],
[
"<=>",
[
"telling-truth",
0
],
[
"telling-truth",
1
]
]
],
"solution": [
true,
false
],
"names": [
"Sebastian",
... |
Aiden is married to Ava. They have a child called Thomas. Thomas is married to Sarah. They have children called Zoe and Chloe. James is married to Rain. They have a child called Sarah.
What is Sarah to Rain? Respond only with the word that describes their relationship. | daughter | {
"source_dataset": "family_relationships",
"source_index": 68,
"person1": "Sarah",
"person2": "Rain",
"relationship": "daughter",
"family_size": 8,
"difficulty": {
"family_size": [
4,
8
]
}
} |
Margaret has 6 male colleagues and she also has 3 female colleagues. These are all colleagues that Margaret has. All these mentioned persons around Margaret are colleagues of each other. Thomas has 1 male colleagues and 6 female colleagues in total. All these mentioned persons around Thomas are colleagues of each other... | 4 | {
"source_dataset": "aiw",
"source_index": 69,
"task_type": "colleagues",
"difficulty": {
"task_type_weights": [
0.33333333330000003,
0.33333333330000003,
0.33333333330000003
],
"num_entities": 6
}
} |
This is a logic puzzle. There are 4 houses (numbered 1 on the left, 4 on the right), from the perspective of someone standing across the street from them. Each has a different person in them. They have different characteristics:
- Each person has a unique name: carol, arnold, bob, alice
- The people keep different an... | carol | {
"source_dataset": "zebra_puzzles",
"source_index": 70,
"difficulty": {
"num_people": 4,
"num_characteristics": 4
}
} |
A very special island is inhabited only by heros and villains. Heros always tell the truth, and villains always lie. You meet 2 inhabitants: Harper, and Jackson. Harper noted, "Jackson is a hero". According to Jackson, "Harper is a hero or Harper is a villain". So who is a hero and who is a villain? (Format your answer... | Harper is a hero, and Jackson is a hero. | {
"source_dataset": "knights_knaves",
"source_index": 71,
"statements": [
[
"not",
[
"lying",
1
]
],
[
"or",
[
"telling-truth",
0
],
[
"lying",
0
]
]
],
"solution": [
true,
true
],
"name... |
A very special island is inhabited only by altruists and egoists. Altruists always tell the truth, and egoists always lie. You meet 2 inhabitants: Zoey, and Ella. Zoey said that if Ella is an altruist then Zoey is an altruist. Ella stated, "Zoey is an altruist if and only if Zoey is an egoist". So who is an altruist an... | Zoey is an altruist, and Ella is an egoist. | {
"source_dataset": "knights_knaves",
"source_index": 72,
"statements": [
[
"->",
[
"telling-truth",
1
],
[
"telling-truth",
0
]
],
[
"<=>",
[
"telling-truth",
0
],
[
"lying",
0
... |
Linda has 6 male friends and she also has 5 female friends. They all are friends with each other and have no other friends aside. How many female friends does Bob, a male friend of Linda, have? | 6 | {
"source_dataset": "aiw",
"source_index": 73,
"task_type": "friends",
"difficulty": {
"task_type_weights": [
0.33333333330000003,
0.33333333330000003,
0.33333333330000003
],
"num_entities": 6
}
} |
Margaret has 6 brothers and she also has 2 sisters. How many sisters does Margaret's brother have? | 3 | {
"source_dataset": "aiw",
"source_index": 74,
"task_type": "siblings",
"difficulty": {
"task_type_weights": [
0.33333333330000003,
0.33333333330000003,
0.33333333330000003
],
"num_entities": 6
}
} |
A very special island is inhabited only by altruists and egoists. Altruists always tell the truth, and egoists always lie. You meet 2 inhabitants: Owen, and Benjamin. Owen stated, "Benjamin is an egoist and Owen is an altruist". "Owen is an altruist if and only if Benjamin is an altruist," Benjamin mentioned. So who is... | Owen is an altruist, and Benjamin is an egoist. | {
"source_dataset": "knights_knaves",
"source_index": 75,
"statements": [
[
"and",
[
"lying",
1
],
[
"telling-truth",
0
]
],
[
"<=>",
[
"telling-truth",
0
],
[
"telling-truth",
1
... |
The following question is a propositional logic reasoning question.
In the question we provide a list of premises. The task is to infer a correct conclusion from the premise.
FORMAT INSTRUCTIONS:
- Return the conclusion logic statement, as your final answer.
- Use the following notation to denote symbols
- OR = ∨... | null | {
"source_dataset": "propositional_logic",
"source_index": 76,
"premises": [
"¬(R ∧ Q)",
"(Q ↔ P)"
],
"variables": [
"P",
"Q",
"R",
"S"
],
"complexity": 4,
"example_answer": "(¬Q ∨ P)",
"difficulty": {
"vars": [
2,
4
],
"statements": [
2,
4
... |
Andrew is married to Sage. They have a child called Alexander. Alexander is married to Willow. They have a child called Jacob.
What relation is Jacob to Alexander? Answer with a single word. | son | {
"source_dataset": "family_relationships",
"source_index": 77,
"person1": "Jacob",
"person2": "Alexander",
"relationship": "son",
"family_size": 5,
"difficulty": {
"family_size": [
4,
8
]
}
} |
Consider these statements:
1. All adults are chefs
2. Some chefs are not grandparents
Does it logically follow that:
Some adults are grandparents?
(Answer Yes or No) | No | {
"source_dataset": "syllogism",
"source_index": 78,
"premise1": "All adults are chefs",
"premise2": "Some chefs are not grandparents",
"conclusion": "Some adults are grandparents",
"is_valid": false,
"type": "syllogism"
} |
A very special island is inhabited only by sages and fools. Sages always tell the truth, and fools always lie. You meet 2 inhabitants: Evelyn, and Mia. Evelyn expressed that Mia is a sage and Mia is a fool. "Evelyn is a sage or Evelyn is a fool" - Mia. So who is a sage and who is a fool? (Format your answer like: "Evel... | Evelyn is a fool, and Mia is a sage. | {
"source_dataset": "knights_knaves",
"source_index": 79,
"statements": [
[
"and",
[
"telling-truth",
1
],
[
"lying",
1
]
],
[
"or",
[
"telling-truth",
0
],
[
"lying",
0
]
]
... |
Consider these statements:
1. No engineers are programmers
2. Some programmers are mammals
Does it logically follow that:
All engineers are mammals?
(Answer Yes or No) | No | {
"source_dataset": "syllogism",
"source_index": 80,
"premise1": "No engineers are programmers",
"premise2": "Some programmers are mammals",
"conclusion": "All engineers are mammals",
"is_valid": false,
"type": "syllogism"
} |
A very special island is inhabited only by heros and villains. Heros always tell the truth, and villains always lie. You meet 2 inhabitants: Sofia, and Isabella. Sofia said that Isabella is a hero if and only if Isabella is a villain. Isabella asserted: "Sofia is a hero". So who is a hero and who is a villain? (Format ... | Sofia is a villain, and Isabella is a villain. | {
"source_dataset": "knights_knaves",
"source_index": 81,
"statements": [
[
"<=>",
[
"telling-truth",
1
],
[
"lying",
1
]
],
[
"not",
[
"lying",
0
]
]
],
"solution": [
false,
false
],
"n... |
Lucas is married to Isabella. They have a child called Theodore. Theodore is married to Patricia. They have children called Sophia and Oliver. Logan is married to Rain. They have a child called Patricia.
How is Rain related to Sophia? Provide the relationship in one word. | grandmother | {
"source_dataset": "family_relationships",
"source_index": 82,
"person1": "Rain",
"person2": "Sophia",
"relationship": "grandmother",
"family_size": 8,
"difficulty": {
"family_size": [
4,
8
]
}
} |
Harry is married to Zoe. They have a child called David. David is married to Grace. They have children called Patricia and Jacob.
What relation is Zoe to Patricia? Answer with a single word. | grandmother | {
"source_dataset": "family_relationships",
"source_index": 83,
"person1": "Zoe",
"person2": "Patricia",
"relationship": "grandmother",
"family_size": 6,
"difficulty": {
"family_size": [
4,
8
]
}
} |
Consider these statements:
1. All tigers are chefs
2. No chefs are children
Does it logically follow that:
No tigers are children?
(Answer Yes or No) | Yes | {
"source_dataset": "syllogism",
"source_index": 84,
"premise1": "All tigers are chefs",
"premise2": "No chefs are children",
"conclusion": "No tigers are children",
"is_valid": true,
"type": "syllogism"
} |
A very special island is inhabited only by pioneers and laggards. Pioneers always tell the truth, and laggards always lie. You meet 2 inhabitants: Riley, and Charlotte. Riley told you that Charlotte is a pioneer and Charlotte is a laggard. Charlotte remarked, "Riley is a laggard or Charlotte is a pioneer". So who is a ... | Riley is a laggard, and Charlotte is a pioneer. | {
"source_dataset": "knights_knaves",
"source_index": 85,
"statements": [
[
"and",
[
"telling-truth",
1
],
[
"lying",
1
]
],
[
"or",
[
"lying",
0
],
[
"telling-truth",
1
]
]
... |
Liam is married to Anna. They have a child called Thomas. Thomas is married to Patricia. They have a child called Sarah. Jayden is married to Sky. They have a child called Patricia.
What relation is Anna to Thomas? Answer with a single word. | mother | {
"source_dataset": "family_relationships",
"source_index": 86,
"person1": "Anna",
"person2": "Thomas",
"relationship": "mother",
"family_size": 7,
"difficulty": {
"family_size": [
4,
8
]
}
} |
Consider these statements:
1. Some butterflies are doctors
2. All doctors are adults
Does it logically follow that:
Some butterflies are adults?
(Answer Yes or No) | Yes | {
"source_dataset": "syllogism",
"source_index": 87,
"premise1": "Some butterflies are doctors",
"premise2": "All doctors are adults",
"conclusion": "Some butterflies are adults",
"is_valid": true,
"type": "syllogism"
} |
Consider these statements:
1. All elephants are birds
2. No birds are horses
Does it logically follow that:
No elephants are horses?
(Answer Yes or No) | Yes | {
"source_dataset": "syllogism",
"source_index": 88,
"premise1": "All elephants are birds",
"premise2": "No birds are horses",
"conclusion": "No elephants are horses",
"is_valid": true,
"type": "syllogism"
} |
This is a logic puzzle. There are 4 houses (numbered 1 on the left, 4 on the right), from the perspective of someone standing across the street from them. Each has a different person in them. They have different characteristics:
- Each person has a unique name: carol, bob, alice, arnold
- The people are of nationalit... | alice | {
"source_dataset": "zebra_puzzles",
"source_index": 89,
"difficulty": {
"num_people": 4,
"num_characteristics": 4
}
} |
This is a logic puzzle. There are 4 houses (numbered 1 on the left, 4 on the right), from the perspective of someone standing across the street from them. Each has a different person in them. They have different characteristics:
- Each person has a unique name: carol, bob, alice, arnold
- Everyone has a favorite smoo... | carol | {
"source_dataset": "zebra_puzzles",
"source_index": 90,
"difficulty": {
"num_people": 4,
"num_characteristics": 4
}
} |
This is a logic puzzle. There are 4 houses (numbered 1 on the left, 4 on the right), from the perspective of someone standing across the street from them. Each has a different person in them. They have different characteristics:
- Each person has a unique name: arnold, bob, carol, alice
- They all have a different fa... | alice | {
"source_dataset": "zebra_puzzles",
"source_index": 91,
"difficulty": {
"num_people": 4,
"num_characteristics": 4
}
} |
This is a logic puzzle. There are 4 houses (numbered 1 on the left, 4 on the right), from the perspective of someone standing across the street from them. Each has a different person in them. They have different characteristics:
- Each person has a unique name: alice, carol, arnold, bob
- Everyone has a different fav... | alice | {
"source_dataset": "zebra_puzzles",
"source_index": 92,
"difficulty": {
"num_people": 4,
"num_characteristics": 4
}
} |
Consider these statements:
1. All musicians are reptiles
2. All reptiles are ants
Does it logically follow that:
Some musicians are ants?
(Answer Yes or No) | Yes | {
"source_dataset": "syllogism",
"source_index": 93,
"premise1": "All musicians are reptiles",
"premise2": "All reptiles are ants",
"conclusion": "Some musicians are ants",
"is_valid": true,
"type": "syllogism"
} |
Consider these statements:
1. All mortals are whales
2. Some whales are not mammals
Does it logically follow that:
Some mortals are not mammals?
(Answer Yes or No) | Yes | {
"source_dataset": "syllogism",
"source_index": 94,
"premise1": "All mortals are whales",
"premise2": "Some whales are not mammals",
"conclusion": "Some mortals are not mammals",
"is_valid": true,
"type": "syllogism"
} |
A very special island is inhabited only by altruists and egoists. Altruists always tell the truth, and egoists always lie. You meet 2 inhabitants: Benjamin, and Emma. "Emma is an egoist or Benjamin is an altruist," Benjamin claimed. Emma asserted: "Benjamin is an egoist and Benjamin is an altruist". So who is an altrui... | Benjamin is an altruist, and Emma is an egoist. | {
"source_dataset": "knights_knaves",
"source_index": 95,
"statements": [
[
"or",
[
"lying",
1
],
[
"telling-truth",
0
]
],
[
"and",
[
"lying",
0
],
[
"telling-truth",
0
]
]
... |
A very special island is inhabited only by altruists and egoists. Altruists always tell the truth, and egoists always lie. You meet 2 inhabitants: Riley, and Scarlett. Riley stated, "Scarlett is an altruist". Scarlett told you that Riley is an altruist if and only if Scarlett is an altruist. So who is an altruist and w... | Riley is an altruist, and Scarlett is an altruist. | {
"source_dataset": "knights_knaves",
"source_index": 96,
"statements": [
[
"telling-truth",
1
],
[
"<=>",
[
"telling-truth",
0
],
[
"telling-truth",
1
]
]
],
"solution": [
true,
true
],
"names": [
"Riley... |
A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 2 inhabitants: Lucas, and William. "Lucas is a knight or William is a knight," Lucas declared. William expressed that Lucas is a knave. So who is a knight and who is a knave? (Format your answer... | Lucas is a knight, and William is a knave. | {
"source_dataset": "knights_knaves",
"source_index": 97,
"statements": [
[
"or",
[
"telling-truth",
0
],
[
"telling-truth",
1
]
],
[
"lying",
0
]
],
"solution": [
true,
false
],
"names": [
"Lucas",
"... |
The following question is a propositional logic reasoning question.
In the question we provide a list of premises. The task is to infer a correct conclusion from the premise.
FORMAT INSTRUCTIONS:
- Return the conclusion logic statement, as your final answer.
- Use the following notation to denote symbols
- OR = ∨... | null | {
"source_dataset": "propositional_logic",
"source_index": 98,
"premises": [
"(R ∧ P)",
"(R ∧ Q)"
],
"variables": [
"P",
"Q",
"R"
],
"complexity": 4,
"example_answer": "(¬R ∨ P)",
"difficulty": {
"vars": [
2,
4
],
"statements": [
2,
4
],
... |
Consider these statements:
1. No ants are children
2. Some children are not spiders
Does it logically follow that:
No children are ants?
(Answer Yes or No) | Yes | {
"source_dataset": "syllogism",
"source_index": 99,
"premise1": "No ants are children",
"premise2": "Some children are not spiders",
"selected_premise": 1,
"conclusion": "No children are ants",
"is_valid": true,
"type": "inversion"
} |
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