Fetching details from the dictionary...
in conflict; incompatible; out of harmony; running counter; mutually exclusive; clashing with
両派は最後まで相容れなかった。
The two factions were irreconcilable right to the end.
彼の個人主義はチームの協調精神と相容れない。
His individualism is simply incompatible with the team's cooperative spirit.
二つの提案は根本から相容れなくて、交渉は決裂した。
The two proposals were fundamentally incompatible, and the negotiations broke down.