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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 (not (not not not (not not not (not (not not not (not (not ((False) and (max(-9, -10, -2, 10) - min(-9, -10, -2, 10) is greater than 1)) or (-3 - (-2 / -5) is less than or equal to 8)) and (5 * -1 <= -10)) and not not (False)) or (-1 * -6 > 6)) and not not (True)) and not not (-4 - (-8 / -7) > -4)) or (-7 * -4 > -4)) or not not not (The capital of Denmark is Copenhagen.)) or (-2 - (-8 / 4) is greater than -5)) or not not not (7 * 2 + -9 * -5 is less than or equal to 4 * -9)
(B) (not not (not not (not (not ((not not not (not not (not (not not not (not not ((not (not (not (-5 - (-7 / 8) is less than or equal to 2) or (True)) and (The capital of Jordan is Amman.)) and (The capital of Armenia is Gyumri.)) and (The capital of Nepal is Kathmandu.)) or not not not (The capital of Gambia is Banjul.)) and not not (-6 * 1 + -7 * 5 > 2 * 5)) or (False)) or not not not (False)) and not not (The capital of Colombia is Bogota.)) and (-9 * -9 + -1 * -1 is less than or equal to -4 * -8)) or (True)) and (False)) or not not not (True)) or not not not (True)) and (max(5, 3, -6, -8) - min(5, 3, -6, -8) is greater than 3)
(C) not ((not not (The capital of Denmark is Copenhagen.) or not not not (9 * -9 is less than or equal to -8)) or ((-6 * -7 + 7 * -8 is greater than 3 * -8) or (-7 * -3 + 10 * 9 is greater than -9 * -7))) or (not (not (The capital of Turkey is Istanbul.) or (2 * -3 + -4 * 7 <= -4 * -7)) and ((10 * -5 + -3 * -5 > -7 * 4) and (The capital of Turkey is Istanbul.)))
(D) not not not ((not not not (False) and not not (-9 - (9 / 10) is less than or equal to 5)) and (not (-4 * 10 + -9 * 10 <= -8 * 3) or (max(-5, 5, -5, 9) - min(-5, 5, -5, 9) is greater than 8))) and not not (((The capital of Denmark is Copenhagen.) or (-10 - (2 / 6) is less than or equal to 7)) and (not (max(-4, -9, -1, 8) - min(-4, -9, -1, 8) <= 2) and (8 * 5 + -4 * -3 is greater than -8 * -2)))
(E) (not not not (not (not (not (not not not (not (not not (not not not (not not not (not not not (The capital of Denmark is Copenhagen.) and not not (True)) and not not (The capital of Canada is Toronto.)) and not not (False)) or not not not (4 - (4 / -10) is greater than -8)) and (False)) and not not (-8 * -9 <= 1)) or (False)) and (-5 * -10 + 4 * 2 is less than or equal to 3 * 5)) and (10 - (-3 / -5) <= -3)) and not not (max(3, 10, -3, 8) - min(3, 10, -3, 8) <= 4)) and (-1 * -8 <= -7)

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Source and history

task_id
5dccfb96-702e-5ca4-ab31-19851f9e8483
task_key
bbeh~5fboolean~5fexpressions--full--5dccfb96-702e-5ca4-ab31-19851f9e8483
task_revision_id
5
config / split
bbeh_boolean_expressions / full

Official source

initial import