artilleryman vs military man

artilleryman and military man both are nouns.

Word	Noun	Adjective	Verb	Adverb
artilleryman	Yes	No	No	No
military man	Yes	No	No	No

As nouns, military man is a hypernym of artilleryman; that is, military man is a word with a broader meaning than artilleryman:

artilleryman: a serviceman in the artillery
military man: someone who serves in the armed forces; a member of a military force

Other hypernyms of artilleryman include man, military personnel, serviceman.

artilleryman (noun)	military man (noun)
a serviceman in the artillery	someone who serves in the armed forces; a member of a military force