contradictory vs inconsistent

contradictory is a noun but inconsistent is not a noun.

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

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

contradictory (adjective)	inconsistent (adjective)
of words or propositions so related that both cannot be true and both cannot be false	displaying a lack of consistency
unable for both to exist or be true at the same time	not in agreement
in disagreement	not capable of being made consistent or harmonious
that confounds or contradicts or confuses