You could solve it for the dark squares (just don't include any of the light ones).
Then solve it for the light squares.
Put the two solutions together and you've solved chess.
QED (quite easily done)
Easier still, solve it for the white pieces (just don't include any of the black ones). Black has no king to checkmate, so White can't win
Similarly solving for the black pieces, Black can't win.
Combining the solutions, neither side can win, ergo chess is a draw.
QED.
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MAR cannot get away from his "chess consists of different sets of rules" ideas
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Whereas @Optimissed thinks the rules don't matter and if you have a solution under tic tac toe rules that's all versions of chess solved.