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There is no such rule. The maximum allowable number of moves in such a position is 50, with certain conditions. (See the laws for more details about the fifty move rule.) The figure thirteen probably comes from end game studies. If I remember correctly, King and Rook vs bare King can mate in 13 moves or less starting from any legal, non-stalemated position. I belive the corresponding figures are 8 for King and Queen vs bare King, 14 for King and 2 Bishops (on opposite colors) vs bare King, and 49 for King, Bishop, and Knight vs bare King. [Someone please correct me if my memory is faulty.] But all the numbers I quoted assume perfect play--the laws do not require perfect play. (Except in the last case, but truthfully I don't know how to force mate with a Bishop and Knight in 1000 moves, nor has anyone ever done it to me.)
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