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irreconcilable

adjective
     
ir‧rec‧on‧ci‧la‧ble
1 irreconcilable positions etc are so strongly opposed to each other that it is not possible for them to reach an agreement
irreconcilable differences/conflicts
The differences between the landowners and the conservationists were irreconcilable from the start.
2 if two beliefs or ideas are irreconcilable, it is not possible to believe both of them
irreconcilable with
This belief was irreconcilable with the Church's doctrine of salvation.
3

irreconcilable differences

strong disagreements between two people who are married, given as a legal reason for getting a divorce

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