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insupportable (adj.)

1520s, from French insupportable (14c.) or directly from Late Latin insupportabilis, from in- "not" (see in- (1)) + *supportabilis, from Latin supportare "to carry" (see support (v.)). Related: Insupportably.

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Definitions of insupportable from WordNet

insupportable (adj.)
incapable of being justified or explained;
Synonyms: indefensible / unjustifiable / unwarrantable / unwarranted
From wordnet.princeton.edu