scrogic

Combination of Screwy and Logic. Not well thought out or misguided. Something very wrong with a plan or rule which can not be enforced. Not well thought out.

He used scrogic to come up with that one. It's completely scrogical.

scrogical

The process of invoking Screwy Logic. Invalid, inconsistent.
skilled in scrogic b :invalid : illogical
2 : incapable of reasoning or of using reason in an orderly cogent fashion <an illogical thinker>

The engineering department came up with this plan to put screen doors on our submarine. It's completely scrogical.

Well, it looks good on paper, but it's scrogical. It will never work like that.