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It may be unable to prove god is real but it is also impossible to disprove that god is real.
God is a product of belief. Any thing that is proven does not require belief. Thus, proving god's existance is impossible.
If a God interacts with the world in any meaningful way, then those interactions can be measured and proven.
People all over the world have mystical experiences, especially that of an apophatic nature.
If God, as in the traditional defition, is omniscient and omnipotent, that means that he has the power to modify the reality constantly in a way that no proof of his [non-]existence can ever exist. Therefore, leaving a constant mystery.