contradictory vs contradictoriness

contradictory and contradictoriness both are nouns.

Word	Noun	Adjective	Verb	Adverb
contradictory	Yes	Yes	No	No
contradictoriness	Yes	No	No	No

contradictory (noun)	contradictoriness (noun)
two propositions are contradictories if both cannot be true (or both cannot be false) at the same time	the relation that exists when opposites cannot coexist

contradictory (adjective)	contradictoriness (adjective)
of words or propositions so related that both cannot be true and both cannot be false
unable for both to exist or be true at the same time
in disagreement
that confounds or contradicts or confuses