Are you claiming that demonstrating that a God who is supposed to know everything, can’t know everything, doesn’t falsify its existence?
Just because mankind doesn't have the answer, or thinks the answer is unknowable, doesn't mean that there is no answer or that the answer is unknowable.
We come back to the age old question, if G*d is omnipotent can he make a boulder big enough that even he can't move it?
If G*d is omniscient there is nothing he doesn't know. Just because mankind doesn't know doesn't mean G*d doesn't know.