The phrase "willing will not" can be difficult to find synonyms for, as it is an oxymoron that essentially means that someone is not willing to do something. However, there are a few ways to rephrase the phrase in a way that conveys a similar meaning. Some options might include "reluctant to comply," "uninterested in participating," "refusing to consent," or "averse to the idea." Each of these phrases conveys a sense of hesitancy or opposition to the task at hand, which is similar to the idea of "willing will not." Ultimately, the best synonym will depend on the context and tone of the sentence in question.