The term self-refuting refers to statements or arguments that contradict themselves. Some synonyms for self-refuting include self-contradictory, self-defeating, inconsistent, paradoxical, and self-undermining. These words all describe situations where a statement or argument cannot be true because it contradicts itself, making it logically impossible. Self-refuting statements are often used in debates and discussions as a way to demonstrate the flaws in an argument. By using these synonyms, speakers and writers can create more variation in their language and avoid repeating the same term over and over again, making their points clearer and more articulate.