a. 1. Being in conflict or collision, or in opposition; contending; contradictory; incompatible; contrary; opposing; marked by discord. Syn. -- antagonistic, at odds(predicate), clashing. [ 1913 Webster + WordNet 1.5 ]
Torn with sundry conflicting passions. Bp. Hurd. [ 1913 Webster ]
2. in disagreement; -- of facts or theories. Syn. -- at odds(predicate), contradictory, self-contradictory. [ WordNet 1.5 ]