Webster's Revised Unabridged Dictionary · 1913

Irreconcilable

Irreconcilable (?; 277) , adjective

[Prefix ir- not + reconcilable: compare French irréconciliable.]

Not reconcilable; not able to be reconciled or brought into accord; implacable; incompatible; inconsistent; disagreeing; as, irreconcilable enemies, statements.