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1. Impossible to overcome or overthrow by force.
2. Impossible to put aside or drive away: inexpugnable dislike.
[Middle English, from Old French, from Latin inexpugnābilis : in-, not; see in-1 + expugnābilis, capable of being overcome (from expugnāre : ex-, completely; see ex- + pugnāre, to fight; see impugn).]