We can't prove that this thing that was invented in times that people thought the world was flat and the earth was at the center of the universe is right or wrong because it was created in such a way as to prevent proof for or against it. I don't think the existence of a god is mutually exclusive with evolution, but the young earth theory is ludicrous.
However, tons of evidence based on rigorous application of the scientific method (the same scientific method that brought us great things like cars, television, internet, phones, almost everything we use on a daily basis, etc.) scientifically proves that evolution has happened for billions of years. It happens currently, and will continue to happen for as long as life exists.