Little is known of this word for it was simply spawned at my school in central indiana. as dirf may be used as a word to mock the ignorant and what they say, dirufay became an even more annoying 'frenchy' translation, which makes it more potent when used for irritation. by adding "Doo-Doot'n" to the beginning, much the same way with most other prefixes, it increases its exactingness and, well, its Diurfay.
Poking your brother in the face in the car, causeing him to swerve all over the road and bash off someone's rear view mirror and saying "Diurfay" with a stupid grin on your face. he then proceeds to pummel you with his fists