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Rules of Chess FAQ. Frequently asked chess questions.[All Comments] [Add Comment or Rating]
Jeremy Lennert wrote on 2012-06-28 UTC
If it is black's turn, his king is in check, and he has no legal moves, then it is checkmate and he loses the game.  You can never have a stalemate while you are in check.

I can only assume that either the computer you played with had a bug, or you aren't remembering the details of that situation correctly.