There are two black rooks on the chessboard and a white chess king that tries to violate the chess rules, that is tries to move into a position which it would be in check. Can the king force itself into check or can the two rooks avoid check indefinitely?
What if there are three rooks?
(In reply to Solution
That's a nice proof for the three rooks case, but doesn't work for two rooks -- it just shows that this specific strategy (going from b2 to g7) wouldn't work for White.