question stringclasses 5
values | choices list | 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. R... | 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. R... | 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 weaklin... | 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. R... | 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. Eve... | 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... | |||
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. R... | 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. ... | 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. Log... | |||
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. R... | 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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