No - it has YOU convinced, that's all. The logic, to you,
indicates a solution, but that doesn't make your reasoning formal logic, just high-school debating society guff.
You are illogically jumping to conclusion before it was ever given in evidence. Ask yourself, again, why you did that. It is cognitive dissonance. Ask yourself why you insist a personal god doesn't exist at this point.
I have not at any time claimed that, so your point is moot. I disbelieve in gods, I don't consider myself to have proved it. I am, amongst other things, an agnostic atheist. It is only
you who claims to have proved something about the world by 'logic', and that approach is where the Greeks came unstuck. They avoided empirical confirmation of their claims, which is why they got so much wrong, even with formal logic.
Is there any discussion that doesn't end in you trying to tell us how clever you are?