irreconcilable

/ɪɹˈɛkənsˌa‍ɪləbə‍l/

/ˌɪˈɹɛkənˌsaɪɫəbəɫ/

irreconcilable

(of ideas, positions, etc.) extremely different in a way that reaching an agreement is impossible

Examples

1. But the discrepancy between the solar year and the lunar year is irreconcilable by direct observation.

2. And in general the problem of talent and money originates because talent and money are, by definition, irreconcilable.

3. These observations are not irreconcilable with the fundamentally hierarchical vision of the community we find in the texts.

4. As for the official reason, Burke is citing irreconcilable differences.