The Universe is Finite because Entropy Decreases

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>P1:
In every observable system reactions only happen such that net entropy decreases.
>P2:
If the universe exists Entropy exists
>Sub Conclusion:
if entropy decreases in every conceivable system, then it is not possible for the universe to expand infinitely, as at some point entropy would run out, violating P2
>Conclusion:
Either the net Entropy of systems can increase or the Universe is not infinite.

looking over this argument of mine, Its apparent that P2 is weak. So I ask you: can the universe exist without entropy? If the universe is expanding infinitely, how can that be accomplished without entropic influence?