How to describe this?

Hmm, that's an interesting psychological scenario.

I think if David was self-conscious about his thoughts and feelings of his own superiority in wisdom over Jack he might think something like:

"A feeling of superiority over Jack arises in me in regard to wisdom."

David would say,

"I've always been smarter than you.'

or

"I'm just naturally smarter than you are.'

Thank you both.

He says to Jack, a clear target. So, is it clear to express like following?
A feeling of wisdom superiority arises in me.

"A feeling of wisdom superiority arises in me."

This is awkward, and is not standard English.

It seems that you are attempting to use "wisdom superiority" as a compound word. That is what makes the sentence awkward.

No.

Say: I feel my wisdom is naturally superior to yours.

Thanks.

Still feel there must be more powerful an expression there.