directmate vs two-mover

directmate and two-mover both are nouns.

Word	Noun	Adjective	Verb	Adverb
directmate	Yes	No	No	No
two-mover	Yes	No	No	No

As nouns, two-mover is a hyponym of directmate; that is, two-mover is a word with a more specific, narrower meaning than directmate:

directmate: A type of problem where White, moving first, is required to checkmate Black in a specified number of moves against any defence.
two-mover: A problem with the stipulation "White to move and checkmate Black in two moves against any defence".

Other hyponyms of directmate include more-mover, three-mover.

directmate (noun)	two-mover (noun)
A type of problem where White, moving first, is required to checkmate Black in a specified number of moves against any defence.	A problem with the stipulation "White to move and checkmate Black in two moves against any defence".