People aren't convinced by rational arguments. Someone who does not believe in god will not be convinced to believe by a proof of god's existence, and someone with faith will not become an atheist because someone debunks the proof.
The rational arguments form a structure that beliefs can hang on, but the core process of changing ones mind is not rational. Like many people, I have changed my thinking on many topics over the course of my life, and arguments that I used to find convincing I now consider to be filled with holes, and arguments I used to think were paper-thin now seem stronger than steel. You can find a rational argument for most beliefs, and you can tear down a rational argument for most beliefs.
Reason just isn't how we form our beliefs at all, it's how we convince ourselves that the things we believe are true.
> Someone who does not believe in god will not be convinced to believe by a proof of god's existence.
But of course that's not true. I would believe in a God with proof of their existence. I simply have not encountered such proof that hold up to my standards of proof of such an extraordinary claim.
> Someone who does not believe in god will not be convinced to believe by a proof of god's existence
I'm sure some atheists could be convinced. The rule "all atheists will reject evidence of God" seems false. The rule "all atheists will accept evidence of God" also seems false. Life is more complicated than that. It depends on the atheist and on the evidence.