The phrase "art one's duty to" implies a sense of obligation to perform a particular action. Antonyms for this phrase could include phrases that indicate a lack of obligation or duty. These could include "need not," "do not have to," or "should not." Using these antonyms is a way to indicate that there is no moral or ethical imperative to take a particular action. This can be useful in situations where there is a conflicting sense of duty, or when there is some question as to what one's obligations truly are. Ultimately, using antonyms for "art one's duty to" offers a way to make clearer and more specific statements about personal and moral responsibility.