argy-bargy vs disputation

argy-bargy and disputation both are nouns.

Word	Noun	Adjective	Verb	Adverb
argy-bargy	Yes	No	No	No
disputation	Yes	No	No	No

As nouns, disputation is a hypernym of argy-bargy; that is, disputation is a word with a broader meaning than argy-bargy:

argy-bargy: a verbal dispute; a wrangling argument
disputation: a contentious speech act; a dispute where there is strong disagreement

Other hypernyms of argy-bargy include arguing, argument, contention, contestation, controversy, disceptation, tilt.

argy-bargy (noun)	disputation (noun)
a verbal dispute; a wrangling argument	the formal presentation of a stated proposition and the opposition to it (usually followed by a vote)
	a contentious speech act; a dispute where there is strong disagreement