arise vs fall out

arise and fall out both are verbs.

Word	Noun	Adjective	Verb	Adverb
arise	No	No	Yes	No
fall out	No	No	Yes	No

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

Other hypernyms of arise include come about, go on, hap, happen, occur, pass, pass off, take place.

arise (verb)	fall out (verb)
get up and out of bed	come to pass
result or issue	have a breach in relations
rise to one's feet	drop out
move upward	leave (a barracks) in order to take a place in a military formation, or leave a military formation
take part in a rebellion; renounce a former allegiance	come as a logical consequence; follow logically
come into existence; take on form or shape
originate or come into being