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untenable (adj.)

1640s, "indefensible, incapable of being held against attack," from un- (1) "not" + tenable (adj.). Figurative sense is recorded from 1690s.

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Definitions of untenable from WordNet

untenable (adj.)
(of theories etc) incapable of being defended or justified;
Synonyms: indefensible
From wordnet.princeton.edu