question
stringclasses 5
values | choices
sequence | answer
class label 3
classes | negate_openai_prompt
dict | neg_question
stringclasses 5
values | fewshot_context
stringclasses 1
value | ori_prompt
stringclasses 5
values | neg_prompt
stringclasses 5
values | fewshot_context_neg
stringclasses 1
value | fewshot_context_ori
stringclasses 1
value |
|---|---|---|---|---|---|---|---|---|---|
Select the best translation into predicate logic: No people drive on Mars. | [
"~Pd",
"(∀x)(Px ∨ ~Dx)",
"(∀x)(Px ⊃ ~Dx)",
"~Dp"
] | 2C
| {
"content": "Given a text in the form of a short question, a question with long context, a fill in the blank query, or multiple statements. Negate the given text by making minimal changes. Only negate the main question or intent, don't negate the provided context of the question and don't complete the cloze query. Reply with the full question and context. Be concise and don't provide any explanation.\n\nText: Select the best translation into predicate logic: No people drive on Mars.\n\nNegated text:",
"role": "user"
} | Select the best translation into predicate logic: Some people drive on Mars. | Select the best translation into predicate logic: No people drive on Mars.
A. ~Pd
B. (∀x)(Px ∨ ~Dx)
C. (∀x)(Px ⊃ ~Dx)
D. ~Dp
Answer: C | Select the best translation into predicate logic: Some people drive on Mars.
A. ~Pd
B. (∀x)(Px ∨ ~Dx)
C. (∀x)(Px ⊃ ~Dx)
D. ~Dp
Answer: D | |||
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": "Given a text in the form of a short question, a question with long context, a fill in the blank query, or multiple statements. Negate the given text by making minimal changes. Only negate the main question or intent, don't negate the provided context of the question and don't complete the cloze query. Reply with the full question and context. Be concise and don't provide any explanation.\n\nText: 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)\n\nNegated text:",
"role": "user"
} | Select the best translation into predicate logic. George does not borrow Hector's lawnmower. (g: George; h: Hector; l: Hector's lawnmower; Bxyx: x borrows y from z) | 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)
A. Blgh
B. Bhlg
C. Bglh
D. Bghl
Answer: C | Select the best translation into predicate logic. George does not borrow Hector's lawnmower. (g: George; h: Hector; l: Hector's lawnmower; Bxyx: x borrows y from z)
A. Blgh
B. Bhlg
C. Bglh
D. Bghl
Answer: D | |||
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": "Given a text in the form of a short question, a question with long context, a fill in the blank query, or multiple statements. Negate the given text by making minimal changes. Only negate the main question or intent, don't negate the provided context of the question and don't complete the cloze query. Reply with the full question and context. Be concise and don't provide any explanation.\n\nText: Select the best English interpretation of the given arguments in predicate logic.\nDm\n(∀x)(Wx ⊃ ~Dx)\n(∀x)Wx ∨ Ag\t/ (∃x)Ax\n\nNegated text:",
"role": "user"
} | Which English interpretation of the given arguments in predicate logic is not the best?
Dm
(∀x)(Wx ⊃ ~Dx)
(∀x)Wx ∨ Ag / (∃x)Ax | Select the best English interpretation of the given arguments in predicate logic.
Dm
(∀x)(Wx ⊃ ~Dx)
(∀x)Wx ∨ Ag / (∃x)Ax
A. Marina is a dancer. Some weaklings are not dancers. Either everything is a weakling or Georgia plays volleyball. So something plays volleyball.
B. Marina is a dancer. No weakling is a dancer. Everything is either a weakling or plays volleyball. So something plays volleyball.
C. Marina is a dancer. Some weaklings are not dancers. Everything is either a weakling or plays volleyball. So something plays volleyball.
D. Marina is a dancer. No weakling is a dancer. Either everything is a weakling or Georgia plays volleyball. So something plays volleyball.
Answer: D | Which English interpretation of the given arguments in predicate logic is not the best?
Dm
(∀x)(Wx ⊃ ~Dx)
(∀x)Wx ∨ Ag / (∃x)Ax
A. Marina is a dancer. Some weaklings are not dancers. Either everything is a weakling or Georgia plays volleyball. So something plays volleyball.
B. Marina is a dancer. No weakling is a dancer. Everything is either a weakling or plays volleyball. So something plays volleyball.
C. Marina is a dancer. Some weaklings are not dancers. Everything is either a weakling or plays volleyball. So something plays volleyball.
D. Marina is a dancer. No weakling is a dancer. Either everything is a weakling or Georgia plays volleyball. So something plays volleyball.
Answer: B | |||
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": "Given a text in the form of a short question, a question with long context, a fill in the blank query, or multiple statements. Negate the given text by making minimal changes. Only negate the main question or intent, don't negate the provided context of the question and don't complete the cloze query. Reply with the full question and context. Be concise and don't provide any explanation.\n\nText: 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\n\nNegated text:",
"role": "user"
} | Do not construct a complete truth table for the following pairs of propositions. Then, using the truth tables, do not determine whether the statements are logically equivalent or contradictory. If neither, do not determine whether they are consistent or inconsistent. Justify your answers.
E ⊃ (F · E) and ~E · F | 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
A. Logically equivalent
B. Contradictory
C. Neither logically equivalent nor contradictory, but consistent
D. Inconsistent
Answer: C | Do not construct a complete truth table for the following pairs of propositions. Then, using the truth tables, do not determine whether the statements are logically equivalent or contradictory. If neither, do not determine whether they are consistent or inconsistent. Justify your answers.
E ⊃ (F · E) and ~E · F
A. Logically equivalent
B. Contradictory
C. Neither logically equivalent nor contradictory, but consistent
D. Inconsistent
Answer: D | |||
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": "Given a text in the form of a short question, a question with long context, a fill in the blank query, or multiple statements. Negate the given text by making minimal changes. Only negate the main question or intent, don't negate the provided context of the question and don't complete the cloze query. Reply with the full question and context. Be concise and don't provide any explanation.\n\nText: 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.\n\nNegated text:",
"role": "user"
} | Which of the given formulas of PL is NOT the best symbolization of the following sentence?
Turtles live long lives and are happy creatures, unless they are injured. | 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.
A. (L • H) ≡ I
B. (L • H) ∨ I
C. L • (H ∨ I)
D. L • (H ⊃ R)
Answer: B | Which of the given formulas of PL is NOT the best symbolization of the following sentence?
Turtles live long lives and are happy creatures, unless they are injured.
A. (L • H) ≡ I
B. (L • H) ∨ I
C. L • (H ∨ I)
D. L • (H ⊃ R)
Answer: C |
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