Dataset Viewer
question
stringclasses 5
values | choices
sequence | answer
class label 3
classes | negate_openai_prompt
dict |
|---|---|---|---|
Select the best translation into predicate logic: No people drive on Mars. | [
"~Pd",
"(∀x)(Px ∨ ~Dx)",
"(∀x)(Px ⊃ ~Dx)",
"~Dp"
] | 2C
| {
"content": "Please negate the text by adding negation cues or by substituting the main nouns/verbs/adjectives with their antonyms. Only reply with the negated sentence.\nSentence: Select the best translation into predicate logic: No people drive on Mars.",
"role": "user"
} |
Select the best translation into predicate logic.George borrows Hector's lawnmower. (g: George; h: Hector; l: Hector's lawnmower; Bxyx: x borrows y from z) | [
"Blgh",
"Bhlg",
"Bglh",
"Bghl"
] | 2C
| {
"content": "Please negate the text by adding negation cues or by substituting the main nouns/verbs/adjectives with their antonyms. Only reply with the negated sentence.\nSentence: Select the best translation into predicate logic.George borrows Hector's lawnmower. (g: George; h: Hector; l: Hector's lawnmower; Bxyx: x borrows y from z)",
"role": "user"
} |
Select the best English interpretation of the given arguments in predicate logic.
Dm
(∀x)(Wx ⊃ ~Dx)
(∀x)Wx ∨ Ag / (∃x)Ax | [
"Marina is a dancer. Some weaklings are not dancers. Either everything is a weakling or Georgia plays volleyball. So something plays volleyball.",
"Marina is a dancer. No weakling is a dancer. Everything is either a weakling or plays volleyball. So something plays volleyball.",
"Marina is a dancer. Some weaklings are not dancers. Everything is either a weakling or plays volleyball. So something plays volleyball.",
"Marina is a dancer. No weakling is a dancer. Either everything is a weakling or Georgia plays volleyball. So something plays volleyball."
] | 3D
| {
"content": "Please negate the text by adding negation cues or by substituting the main nouns/verbs/adjectives with their antonyms. Only reply with the negated sentence.\nSentence: Select the best English interpretation of the given arguments in predicate logic.\nDm\n(∀x)(Wx ⊃ ~Dx)\n(∀x)Wx ∨ Ag\t/ (∃x)Ax",
"role": "user"
} |
Construct a complete truth table for the following pairs of propositions. Then, using the truth tables, determine whether the statements are logically equivalent or contradictory. If neither, determine whether they are consistent or inconsistent. Justify your answers.
E ⊃ (F · E) and ~E · F | [
"Logically equivalent",
"Contradictory",
"Neither logically equivalent nor contradictory, but consistent",
"Inconsistent"
] | 2C
| {
"content": "Please negate the text by adding negation cues or by substituting the main nouns/verbs/adjectives with their antonyms. Only reply with the negated sentence.\nSentence: Construct a complete truth table for the following pairs of propositions. Then, using the truth tables, determine whether the statements are logically equivalent or contradictory. If neither, determine whether they are consistent or inconsistent. Justify your answers.\nE ⊃ (F · E) and ~E · F",
"role": "user"
} |
Which of the given formulas of PL is the best symbolization of the following sentence?
Turtles live long lives and are happy creatures, unless they are injured. | [
"(L • H) ≡ I",
"(L • H) ∨ I",
"L • (H ∨ I)",
"L • (H ⊃ R)"
] | 1B
| {
"content": "Please negate the text by adding negation cues or by substituting the main nouns/verbs/adjectives with their antonyms. Only reply with the negated sentence.\nSentence: Which of the given formulas of PL is the best symbolization of the following sentence?\nTurtles live long lives and are happy creatures, unless they are injured.",
"role": "user"
} |
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