divination vs vaticination

divination and vaticination both are nouns.

Word	Noun	Adjective	Verb	Adverb
divination	Yes	No	No	No
vaticination	Yes	No	No	No

As nouns, vaticination is a hypernym of divination; that is, vaticination is a word with a broader meaning than divination:

divination: the art or gift of prophecy (or the pretense of prophecy) by supernatural means
vaticination: knowledge of the future (usually said to be obtained from a divine source)

Other hypernyms of divination include prognostication, prophecy.

divination (noun)	vaticination (noun)
the art or gift of prophecy (or the pretense of prophecy) by supernatural means	knowledge of the future (usually said to be obtained from a divine source)
a prediction uttered under divine inspiration
successful conjecture by unusual insight or good luck