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The Collaborative International Dictionary
Irremissibly

Irremissible \Ir`re*mis"si*ble\, a. [L. irremissibilis: cf. F. irr['e]missible. See In- not, and Remissible.] Not remissible; unpardonable; as, irremissible crimes.
--Burke. -- Ir`re*mis"si*ble, n. -- Ir`re*mis"si*bly, adv.

Wiktionary
irremissibly

adv. In an irremissible manner; unpardonably.