Formal definitions aside, it isn't possible for "stupid" people to be good at chess. There also is no other animal or known alien that is good at chess. Thus being good at chess is a strong sign of an intelligent human.
We can't go the other way. There are plenty of humans generally known to be "intelligent" who are not good at chess. There is a lot more than intelligence needed to be good at chess (practice and study come to mind, there might be more).
While there are no known aliens that are good at chess, that doesn't preclude that we may discover them in the future. (not in your lifetime though - the speed of light is too slow for them to learn the rules of our chess and communicate back proof that they are good, no matter how intelligent they are)
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