Noun

• S: (n) contradictory (two propositions are contradictories if both cannot be true (or both cannot be false) at the same time)

Adjective

• S: (adj) contradictory (of words or propositions so related that both cannot be true and both cannot be false) "`perfect' and `imperfect' are contradictory terms"
• S: (adj) confounding, contradictory (that confounds or contradicts or confuses)
• S: (adj) at odds, conflicting, contradictory, self-contradictory (in disagreement) "the figures are at odds with our findings"; "contradictory attributes of unjust justice and loving vindictiveness"- John Morley
• S: (adj) contradictory, mutually exclusive (unable for both to exist or be true at the same time)