There are numerous synonyms for the phrase "refuse to support", depending on the context in which it is used. Some commonly used terms include: reject, oppose, disavow, dispute, disapprove, dissent, contradict, repudiate, renounce, abjure, spurn, forsake, disown, ignore, discontinue, and halt. These words indicate a variety of degrees of disagreement or disassociation with a particular person, idea, or action. For instance, one may "oppose" a political candidate's views, while "disavowing" their actions as unethical or immoral. By using these alternative terms, one can enrich their vocabulary and express themselves more tactfully and effectively.