"The game is drawn when a position is reached from which a checkmate cannot occur by any possible series of legal moves."
For example after after 1. Kf1-h2 2. Ke1-h8=Q black is able to give you a mate. This is what that rule means. It does not have to be forced, it has to be possible.
Here's a quote from the laws of chess by fide http://www.fide.com/FIDE/handbook/LawsOfChess.pdf
"The game is drawn when a position is reached from which a checkmate cannot occur by any possible series of legal moves. THIS IMMEDIATELY ENDS THE GAME, provided that the move producing this position was legal"
Here's the game with the drawing position I got into with about 10 seconds on the clock. I lost on time. I could be misunderstanding the rule, or maybe chess.com just makes their own rules. If that's the case than just ignore me. He just danced his king around while my clock ran to zero.