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Entry 1 sense Webster, 1913

Irreconcilable

/ĭrˌ-ĕk'-ən-sīlˌ-əb-əl/ · Ir·rec·on·ci·la·ble · IPA /ˌɪrˈɛkənsˌaɪləbəl/
01 a. Not reconcilable; not able to be reconciled or brought into accord; implacable; incompatible; inconsistent; disagreeing; as, irreconcilable…
  1. 1.
    Not reconcilable; not able to be reconciled or brought into accord; implacable; incompatible; inconsistent; disagreeing; as, irreconcilable enemies, statements.