/ ɪˈrekənsaɪləbl; NAmE ; ɪˌrekənˈsaɪləbl/ adjective
1.
if differences or disagreements are irreconcilable , they are so great that it is not possible to settle them
2.
if an idea or opinion is irreconcilable with another, it is impossible for sb to have both of them together :
This view is irreconcilable with common sense.
3.
people who are irreconcilable cannot be made to agree :
irreconcilable enemies
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WORD ORIGIN
late 16th cent. (in the sense implacably hostile ): from in- + reconcilable .