unreconcilable

/ˌʌnˌrɛkənˈsaɪləbəl/
adjective
  1. Impossible to bring into agreement or harmony; not able to be reconciled.
    • The siblings had an unreconcilable disagreement over their parents' inheritance.
    • The two political parties held unreconcilable views on tax reform.
    • After years of arguing, their differences seemed completely unreconcilable.
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