contradictory

Sense 1 noun

two propositions are contradictories if both cannot be true (or both cannot be false) at the same time

Sense 2 adjective

of words or propositions so related that both cannot be true and both cannot be false

`perfect' and `imperfect' are contradictory terms

Sense 3 adjective

that confounds or contradicts or confuses

Sense 4 adjective

in disagreement

the figures are at odds with our findings

Sense 5 adjective

unable to be both true at the same time