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BIG-Bench Extra Hard (BBEH) / From the following five expressions, only one evaluates to true. Which one is…

Problem

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input

From the following five expressions, only one evaluates to true. Which one is it?

(A) not (not not (not (-10 * 5 + -1 * 9 <= -3 * -2) and (-6 * -2 + 1 * 2 > -10 * -8)) or not not not ((False) and (10 * -7 > 3))) or (not (not (-5 * 10 is less than or equal to 3) or (3 * -4 is less than or equal to -1)) and (not (-7 * -5 + 10 * -10 <= -8 * -7) or (The capital of Denmark is Aarhus.)))
(B) not (((-4 * -3 > 2) and (-3 - (-7 / 9) > 1)) or (not not (-4 - (-1 / -3) is less than or equal to -2) or not not not (-1 * 2 is less than or equal to 6))) and (not not (not not not (1 - (-9 / 2) <= -5) and not not (max(-10, 5, -9, 6) - min(-10, 5, -9, 6) <= 6)) or not not not (not (True) and (max(-6, 4, 9, 5) - min(-6, 4, 9, 5) <= 1)))
(C) (not not not (not not (8 - (2 / 6) <= -5) or not not not (8 - (5 / 4) is greater than -8)) and not not (not not not (-9 * 5 > 1) and not not (6 - (-8 / 6) is greater than 2))) or (not (not not (-8 * -6 + 4 * -8 is greater than -4 * 4) or not not not (-8 * -1 <= -2)) or (not not (The capital of Iraq is Baghdad.) or not not not (max(-8, 2, -9, 5) - min(-8, 2, -9, 5) <= 1)))
(D) (not not not ((not (not ((not (True) or (max(-7, 6, -3, -1) - min(-7, 6, -3, -1) <= 1)) and (True)) or (-7 * 4 + -9 * -6 is greater than 5 * -3)) or (True)) or (1 - (1 / 10) <= -8)) and not not (The capital of Cameroon is Douala.)) or (-3 - (-6 / 10) > 4)
(E) not (not ((not not ((not (not not (not (not (not not (not not (not not (not not not (not (not not not (5 * -3 is less than or equal to -10) and not not (max(6, 5, -1, 5) - min(6, 5, -1, 5) <= 1)) and (max(2, -9, -7, 4) - min(2, -9, -7, 4) <= 1)) and not not (True)) or not not not (-5 * 2 + 6 * 10 is less than or equal to 9 * 3)) or not not not (The capital of India is Mumbai.)) or not not not (max(4, 3, -5, -5) - min(4, 3, -5, -5) <= 6)) or (True)) or (6 - (-6 / -2) > 7)) or not not not (-6 * 6 + 2 * 5 is less than or equal to -4 * 8)) or (The capital of Norway is Bergen.)) or (False)) or not not not (-5 * -6 + -7 * 2 > -6 * -9)) or (-10 - (5 / 2) > -3)) or (max(-6, -7, 4, 4) - min(-6, -7, 4, 4) is greater than 6)) or (-2 * -5 <= 8)

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