ir·rec·on·cil·a·ble 
(ĭ-rĕk′ən-sīlə-bəl, ĭ-rĕkən-sī′-)
(ĭ-rĕk′ən-sīlə-bəl, ĭ-rĕkən-sī′-)adj.
Impossible to reconcile: irreconcilable differences.
n.
1. A person, especially a member of a group, who will not compromise, adjust, or submit.
2. One of two or more conflicting ideas or beliefs that cannot be brought into harmony.
ir·rec′on·cil′a·bili·ty n.
ir·rec′on·cila·bly adv.