Refers to a situation where two fundamentally opposing entities or individuals cannot coexist; one must ultimately prevail over the other.
这对昔日的好友，因为对公司未来发展的理念完全相悖，如今已到汉贼不两立的地步，势必有一方要退出。
These former good friends, due to entirely conflicting philosophies on the company's future development, have now reached a point where they cannot coexist; one side is bound to withdraw.
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