Etymology
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indefensible (adj.)

1520s, "that cannot be maintained or justified by argument," from in- (1) "not, opposite of" + defensible. From 1560s as "that cannot be maintained by force." Related: Indefensibly.

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Definitions of indefensible

indefensible (adj.)
(of theories etc) incapable of being defended or justified;
Synonyms: untenable
indefensible (adj.)
not able to be protected against attack;
indefensible (adj.)
incapable of being justified or explained;
Synonyms: insupportable / unjustifiable / unwarrantable / unwarranted
From wordnet.princeton.edu