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The Collaborative International Dictionary
Irrefutableness

Irrefutable \Ir`re*fut"a*ble\ (?; 277), a. [L. irrefutabilis: cf. F. irr['e]futable. See Refute.] Incapable of being refuted or disproved; indisputable. -- Ir`re*fut"a*ble*ness, n. -- Ir`re*fut"a*bly, adv.

Wiktionary
irrefutableness

n. The quality of being irrefutable.