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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 (7 * -10 + 10 * 4 > 10 * 8) or (True)) and (-5 * -10 > 1)) or (The capital of Norway is Bergen.)) and (The capital of Germany is Munich.)) or not not not (-1 * 1 is less than or equal to -1)) or (False)) or not not not (False)) and not not (4 - (-2 / 5) <= -6)) and (7 * -10 + 10 * 5 <= 2 * -2)) or (max(6, -5, 9, 10) - min(6, -5, 9, 10) is greater than 2)) or not not not (5 * 9 + -5 * -4 is less than or equal to 5 * 4)) or (10 * -4 is less than or equal to 4)) or not not not (max(5, 3, 3, -8) - min(5, 3, 3, -8) <= 5)) or (False)) and (-10 * 9 + -2 * -3 > 4 * 2)
(B) not (not (not (not ((not not (not not not (not (not (not not not (max(-6, 6, 10, -6) - min(-6, 6, 10, -6) <= 10) and not not (The capital of UAE is Dubai.)) or (-6 - (6 / -5) is less than or equal to 4)) and (-9 * 6 is less than or equal to 8)) and not not (6 - (5 / 6) <= -3)) or not not not (1 * 10 + 2 * 8 > 9 * 9)) or (4 * 6 + -7 * 6 > -9 * -7)) and (The capital of Colombia is Bogota.)) and (-4 * -3 <= -8)) or (max(-8, -10, 5, 6) - min(-8, -10, 5, 6) <= 6)) and (max(-7, 10, 2, -3) - min(-7, 10, 2, -3) <= 2)
(C) not (not not (not (not ((not not not (not (not not (not ((not (not not (not not ((not (max(-3, -9, -9, -9) - min(-3, -9, -9, -9) is greater than 4) or (False)) and (False)) or not not not (10 * 1 + 4 * 7 > 6 * 10)) or not not not (1 * 8 + 8 * 7 is less than or equal to -3 * 3)) or (9 * 2 > -10)) and (-7 * 2 + 4 * -6 > 2 * 4)) or (True)) or not not not (max(2, -3, 2, 8) - min(2, -3, 2, 8) <= 5)) or (1 * -5 + 4 * 6 is less than or equal to -1 * -8)) and not not (7 * -8 > 7)) or (-6 * 7 + 4 * 9 <= -6 * -2)) and (5 - (9 / -8) <= -8)) or (True)) or not not not (8 * -9 is less than or equal to 8)) or (max(-3, -6, -6, 3) - min(-3, -6, -6, 3) <= 6)
(D) not not (not ((not (True) or (4 * 6 > 5)) or (not (9 * 4 > 1) and (2 * 9 + -10 * -9 is greater than -4 * -2))) or (not not (not not (4 - (-3 / 4) is greater than -9) or not not not (5 * -6 + 3 * 8 <= -9 * -1)) or not not not (not not not (max(-6, -8, -9, -2) - min(-6, -8, -9, -2) > 7) and not not (The capital of Germany is Munich.)))) or not not not (not (not not not ((max(-6, -2, 3, 6) - min(-6, -2, 3, 6) <= 8) and (-4 * -9 + 3 * 3 is greater than -7 * 8)) and not not (not (-9 * -7 + 8 * 2 is less than or equal to -10 * -1) and (-3 - (-5 / -7) > 1))) and (not not (not not not (10 * 5 <= 9) and not not (-6 * -2 <= 8)) or not not not (not (-7 * -5 + -4 * -7 <= 10 * 8) or (1 * -2 + 2 * 6 <= 6 * 4))))
(E) not not not (not ((not not (not not ((not (True) or (max(-5, -6, 4, 10) - min(-5, -6, 4, 10) is greater than 2)) and (The capital of Jordan is Beirut.)) or not not not (The capital of Malaysia is Putrajaya.)) or not not not (-1 * -3 > 6)) and (10 * -6 + -10 * -9 is less than or equal to -3 * 8)) and (1 - (-9 / -5) is less than or equal to 2)) and not not (-9 * -6 + 9 * -3 > -8 * -8)

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Source and history

task_id
330e71e0-45ca-5f92-a055-64a9d3fbcba7
task_key
bbeh~5fboolean~5fexpressions--full--330e71e0-45ca-5f92-a055-64a9d3fbcba7
task_revision_id
5
config / split
bbeh_boolean_expressions / full

Official source

initial import