狡辩 To argue cunningly. To quibble. A Taiwanese dictionary gives the example: “When one has done wrong, one should have the courage to admit it, and not quibble irresponsibly.”
嘴硬 A hard mouth. To know that one is wrong and still refuse to give in.
强词夺理 To argue by force and seize reason. To insist on arguing without having reason on one’s side.
不服气 Not convinced. To resent something and not accept it.