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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 not not (not (max(-5, -5, 3, 8) - min(-5, -5, 3, 8) is greater than 4) or (2 * -4 + 8 * -1 <= -1 * -8)) and not not (-9 - (-2 / -4) > 1)) or not not not (max(4, -1, -1, -8) - min(4, -1, -1, -8) is greater than 10)) and (5 * 2 > -6)) and (False)) or (max(2, -2, -10, 6) - min(2, -2, -10, 6) <= 5)) and (-4 * -3 <= 5)) and not not (True)) and not not (The capital of Germany is Munich.)) and not not (True)) and not not (-9 - (-8 / -5) > -6)) or (-9 - (-7 / -5) > -6)
(B) not not (((not not not (9 * -7 + 9 * 8 is less than or equal to -1 * -4) and not not (-2 * -10 <= -6)) and (not not not (4 - (-10 / 3) is greater than -10) and not not (8 * -8 > 9))) and (not not not ((3 * 7 <= -9) and (False)) and not not (not not (False) or not not not (-5 - (-4 / -6) <= -6)))) or not not not (not (not (not (The capital of Colombia is Medellin.) and (6 * -5 > -3)) or ((2 * 9 > 9) or (max(8, 10, 4, 9) - min(8, 10, 4, 9) is greater than 5))) or (not not not (not (-10 - (2 / -5) > 6) and (3 * -10 > -1)) and not not (not not (9 * 2 <= 6) or not not not (4 * -1 > -3))))
(C) not not ((not not not (not (False) and (1 - (-6 / 2) <= -8)) and not not (not (max(-3, -6, 10, 8) - min(-3, -6, 10, 8) <= 4) or (True))) or (not not not ((-2 * -7 + 5 * 4 is less than or equal to -8 * -4) or (10 * 8 + -7 * -6 is greater than 9 * -8)) and not not (not not not (False) and not not (-8 * -7 > 6)))) or not not not (not not ((not not not (The capital of Denmark is Copenhagen.) and not not (8 * -3 + -3 * -8 > -3 * -8)) and (not (-10 * 5 is less than or equal to 2) and (8 * -4 > 10))) or not not not (not ((-4 * 5 + -5 * 5 > -6 * -2) or (-5 * -7 + 9 * 7 is less than or equal to 5 * -5)) or (not not (False) or not not not (False))))
(D) not (not not (not (not (not not (not not not ((not not (max(-9, 10, -5, 8) - min(-9, 10, -5, 8) is greater than 9) or not not not (True)) and (6 - (1 / -10) <= -9)) and not not (max(3, -6, 2, 1) - min(3, -6, 2, 1) <= 10)) or not not not (7 - (10 / -9) is greater than -4)) or (4 - (8 / 7) is less than or equal to 3)) and (4 * 8 + -9 * -3 is greater than 2 * -3)) or not not not (-5 - (-7 / -2) > -8)) and (False)
(E) not (not not (not ((not not (not not not (not (not not (not (not (not (not not (The capital of Germany is Berlin.) or not not not (The capital of Gambia is Libreville.)) and (5 - (10 / 4) <= -6)) or (-8 * -6 <= 2)) and (True)) or not not not (-2 * 3 > -9)) or (6 * -6 + -4 * -7 <= -2 * -5)) and not not (The capital of Gambia is Banjul.)) or not not not (max(-8, -1, -4, -3) - min(-8, -1, -4, -3) > 8)) and (The capital of Iraq is Beirut.)) or (False)) or not not not (5 - (5 / -8) <= -4)) and (-5 - (-10 / 9) is greater than -4)

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Source and history

task_id
80c07960-72f0-516f-a60d-83e0eb5b8f41
task_key
bbeh~5fboolean~5fexpressions--full--80c07960-72f0-516f-a60d-83e0eb5b8f41
task_revision_id
5
config / split
bbeh_boolean_expressions / full

Official source

initial import