checkmate vs beat out

checkmate is a noun but beat out is not a noun.

Word	Noun	Adjective	Verb	Adverb
checkmate	Yes	No	Yes	No
beat out	No	No	Yes	No

As verbs, beat out is a hypernym of checkmate; that is, beat out is a word with a broader meaning than checkmate:

checkmate: place an opponent's king under an attack from which it cannot escape and thus ending the game
beat out: come out better in a competition, race, or conflict

Other hypernyms of checkmate include beat, crush, shell, trounce, vanquish.

checkmate (noun)	beat out (noun)
a chess move constituting an inescapable and indefensible attack on the opponent's king
complete victory

checkmate (verb)	beat out (verb)
place an opponent's king under an attack from which it cannot escape and thus ending the game	come out better in a competition, race, or conflict
	beat out a rhythm