society > society and the community > dissent > [adjective] > strained (of relations) > irreconcilable (of dissension) (4)
Irreconcilable. Obsolete. rare.
Incapable of being conciliated or reconciled; irreconcilable.
Of persons, their feelings, etc.: That cannot be reconciled or brought into friendly relations; implacably hostile. Const. to.