Proving God Existence

[little_monkey]

Your logic is circular. You started with S1 is finite and S2 is infinite to conclude that S1 is indeed finite, therefore S2 can't be infinite.

I didn't assume that, however if events are infinite S1 & S2 must exist

Yes, you have defined S1 and S2 as such. Here's a refresher:

4. Defining two sets of the Universe states in the past

Set 1: All Statuses separated from (1/1/2000 00:00:00) by a finite number of seconds
Set 2: All Statuses separated from (1/1/2000 00:00:00) by an infinite number of seconds
S1= {U(1), U(2), ….}, S2={U(-∞), U(-∞+1), U(-∞+2),….}

So that's an assumption. Your conclusion S1 is finite, S2 cannot exist is just circular.

Just apply the proof on anything assumed to be infinite
Or bring a real existence of an infinite members.

In that case, according to your "logic", if God is infinite then he's not real