God existance

1. The belief that there's a God is unnecessary to explain our experience.
2. All beliefs unncessary to explain our experience ought to be rejected.
So
3. The belief that there's a God ought to be rejected.

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Valid? Indeed.
Solid? St. Thomas Aquinas disputed (1) to prove the existance of good.

If we changed it to:
1. They belief thate there's a God is neccesary to explain our experience.
2. All beliefs necessary to explain are experience ought to be accepted.
So
3. The belief that there's a God ought to be accepted.

Then, we have a proof of the existance of God. Science would say that it is just random walk and the result of the law of the large numbers .Your choice.