unlogical vs nonrational

unlogical and nonrational both are adjectives.

Word	Noun	Adjective	Verb	Adverb
unlogical	No	Yes	No	No
nonrational	No	Yes	No	No

unlogical (adjective)	nonrational (adjective)
lacking in correct logical relation	obtained through intuition rather than from reasoning or observation
	not based on reason