irreconcilable

Borrowed from Middle French irréconciliable, from Late Latin irreconciliābilis, from in- (“not”) + reconciliō (“I reconcile”) + -ābilis (“-able”). By surface analysis, ir- +‎ reconcilable.

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irreconcilable (comparative more irreconcilable, superlative most irreconcilable)

1. Unable to be reconciled; opposed; uncompromising.
   • 1921, Lytton Strachey, “Lord Melbourne”, in Queen Victoria, London: Chatto & Windus, →OCLC, section VI, page 82:

     [T]he fact that the peccant doctor [Sir James Clark, 1st Baronet] continued in the Queen's service made the Hastings family irreconcilable and produced an unpleasant impression of unrepentant error upon the public mind.

2. Incompatible, discrepant, contradictory.
   • 1919, W[illiam] Somerset Maugham, chapter XXVI, in The Moon and Sixpence, [New York, N.Y.]: Grosset & Dunlap Publishers […], →OCLC:

     I amused myself by thinking that in his choice of books he showed pleasantly the irreconcilable sides of his fantastic nature.

• (unable to be reconciled): hostile, hateful, antagonistic

• irreconciliation

irreconcilable (plural irreconcilables)

1. Something that cannot be reconciled.