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The Collaborative International Dictionary
Inexterminable

Inexterminable \In`ex*ter"mi*na*ble\, a. [L. inexterminabilis. See In- not, and Exterminate.] Incapable of extermination.
--Rush.

Wiktionary
inexterminable

a. Impossible to exterminate.

WordNet
inexterminable

adj. incapable of extermination or extirpation; "some weeds seem inextirpable" [syn: inextirpable]