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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 (The capital of Afghanistan is Kandahar.) or not not not (3 * 2 + 7 * 1 is less than or equal to 10 * -1)) and ((True) and (The capital of the Nigeria is Lagos.))) or (not not not (not not not (-6 - (-4 / -9) > -5) and not not (False)) and not not (not (True) or (False)))) and (not (not not (not not not (6 * 2 + -9 * -5 is less than or equal to -7 * 6) and not not (6 * 7 <= -10)) or not not not ((-9 * -8 <= 9) or (-1 - (8 / 9) is less than or equal to 7))) and (not (not (-8 - (1 / -9) > 5) and (-8 * 2 + -10 * -6 <= 10 * 10)) and (not not not (-4 - (-7 / -2) > -1) and not not (-10 * -5 <= -1))))
(B) not not not (not (not not (True) or not not not (The capital of Norway is Oslo.)) and (not not (10 * 8 + 2 * -8 is less than or equal to 9 * -5) or not not not (10 * 10 > 3))) and not not (not (not (The capital of Iran is Isfahan.) or (-5 * 3 > -2)) and (not (3 - (-10 / -4) is less than or equal to 5) and (max(-1, 7, 4, -3) - min(-1, 7, 4, -3) <= 7)))
(C) not ((not (False) and (-10 - (4 / 4) is less than or equal to 10)) or (not (False) or (The capital of Turkey is Istanbul.))) and (not not not ((-2 * -3 + -4 * 6 <= 6 * 2) or (max(-7, 10, 6, -6) - min(-7, 10, 6, -6) <= 1)) and not not (not (-9 * -8 + 4 * -3 is less than or equal to 3 * 6) or (6 * 3 + -7 * -2 is less than or equal to 2 * 9)))
(D) not ((not (-9 - (6 / 10) > -7) or (-2 * 3 + 4 * -1 is greater than -4 * 8)) and (not (-5 * -4 <= 10) and (5 * -1 is less than or equal to -3))) or (not not ((True) and (True)) or not not not (not (2 * 10 + 5 * -9 > 9 * -2) or (4 * 10 + 1 * -10 > 7 * 8)))
(E) (not ((max(-9, 10, 7, -2) - min(-9, 10, 7, -2) <= 6) and (True)) and (not not not (False) and not not (max(7, -7, 4, -5) - min(7, -7, 4, -5) <= 3))) or (not (not (6 - (5 / 9) is greater than 1) or (5 - (-4 / 3) is greater than -5)) and (not (The capital of Turkey is Istanbul.) and (-7 - (7 / 9) > 6)))

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Source and history

task_id
56b22774-0ef3-50ae-9cf0-4e3ae4a59817
task_key
bbeh~5fboolean~5fexpressions--full--56b22774-0ef3-50ae-9cf0-4e3ae4a59817
task_revision_id
5
config / split
bbeh_boolean_expressions / full

Official source

initial import