Irresoluble \Ir*res"o*lu*ble\, a. [L. irresolubilis: cf. F. irr['e]soluble. See {Resoluble}, and cf. {Irresolvable}.] 1. Incapable of being dissolved or resolved into parts; insoluble. --Boyle. 2. Incapable of being relieved or assisted. [Obs.] The second is in the irresoluble condition of our souls after a known sin committed. --Bp. Hall.