The antonyms for the phrase "honors a claim" are denying, rejecting, disputing, contesting, and challenging. When an individual or entity honors a claim, they accept the validity and authenticity of the claim made on them. However, if they deny or reject a claim, they do not accept it and refuse to act on it. Similarly, disputing, contesting, or challenging a claim means questioning its accuracy or legitimacy. These antonyms indicate a lack of trust, faith, and confidence in the validity of the claim made. Hence, the choice of whether to honor or deny a claim often determines the outcome of the situation.