CONTRADICTORY

Definition

1. noun two propositions are contradictories if both cannot be true (or both cannot be false) at the same time.
2. adjective of words or propositions so related that both cannot be true and both cannot be false.
3. adjective that confounds or contradicts or confuses. — synonyms: confounding
4. adjective in disagreement. — synonyms: at_odds(p), conflicting, self-contradictory
5. adjective unable for both to exist or be true at the same time. — synonyms: mutually_exclusive