1. contradictory

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

2. contradictory

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

Example Sentences:
'perfect' and imperfect' are contradictory terms'

3. confounding, contradictory

that confounds or contradicts or confuses

• confounding

4. at odds, conflicting, contradictory, self-contradictory

in disagreement

Example Sentences:
'the figures are at odds with our findings'
'contradictory attributes of unjust justice and loving vindictiveness'

• at odds
• conflicting
• self-contradictory

5. contradictory, mutually exclusive

unable to be both true at the same time

• mutually exclusive