contradiction in terms vs contradiction

contradiction in terms and contradiction both are nouns.

Word	Noun	Adjective	Verb	Adverb
contradiction in terms	Yes	No	No	No
contradiction	Yes	No	No	No

As nouns, contradiction in terms and contradiction are synonyms defined as:

contradiction in terms and contradiction: (logic) a statement that is necessarily false

contradiction in terms (noun)	contradiction (noun)
(logic) a statement that is necessarily false	the speech act of contradicting someone
	(logic) a statement that is necessarily false
	opposition between two conflicting forces or ideas