impossible to correct or return to a previously existing situation or condition

I agree things look difficult, but the situation is far from irretrievable. 我承认情况看起来不妙，但局势还远远没到无法挽救的地步。

The couple separated on the grounds of irretrievable breakdown (of their marriage). 这对夫妇因（婚姻）关系破裂无法挽回而分居。