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irreconcilable
01
(of ideas, positions, etc.) extremely different in a way that reaching an agreement is impossible
Example
The alliance broke up as conflicting interests became irreconcilable.
The business partners chose to part company due to irreconcilable differences.
The business partners decided mutually to dissolve the partnership due to irreconcilable differences.
She initiated the conversation to separate, citing irreconcilable differences.
The coalition government started to dissolve when ideological differences among its members became irreconcilable.