irreconcilable
US /ˌɪr.ek.ənˈsaɪ.lə.bəl/
UK /ˌɪr.ek.ənˈsaɪ.lə.bəl/

1.
incapable of being brought into harmony or adjusted to agreement; incompatible
:
•
They had irreconcilable differences that led to their divorce.
•
The two theories are irreconcilable.