The concept of God is actually well-defined by religion. Wikipedia has an article on the attributes of God. It is these attributes that I am dismantling with my proofs.

I have even constructed a new god I call Phillipe the Fallible, which is weaker than Yahweh by necessity. Not because nothing can be more powerful than Yahweh; no, it is because they made the attributes of Yahweh too strong that they are impossible or leads to contradictions.

I have another proof on here in my article God's Algorithm Box where I show that god being all-knowing is impossible.