ICB Where did you learn to play chess mate?

[CGM]

This is a pretty good game IMO, though like you say it might not be a really high level setting for the Kasparov computer opponent.

I think Black has to play ...Qg6 a move sooner and attack White's f-pawn. After you play 21.Qh6 as white it looks like game over, unless I am missing something. The point is that it takes several moves to prove that 21.Qh6 is winning, so if your computer is not at a setting where it looks five or six moves deep, it might not see that the move 19...c5 is a losing move.

I don't know why black made that move but I believe that even the lowest level of Kasparov thinks at least 10 moves ahead. I was fighting kasparov and I'd like someone with a national/fide master level to assess this game. hehehe. There's a reason for that move.

are you a national master, CGM? if you are, I'd accept your opinion. I might have been playing a low level unknown GM in chessmater during that time.

No, I'm not a master. I probably average somewhere around 1900. On my good days I can play at expert level, which is one step below national master. I have beaten masters, but not regularly I can't.

Your opponent could have been at a strong level. Because it is not immediately obvious that 21.Qh6 is pretty much a forced win.

one more thing, when you say the computer plays at least 10 moves deep, that is probably ten-ply, which is 5 moves by each player. When I say 6 or 7 moves, I mean 6 or 7 moves by each player. So the actual checkmate would be outside of the program's "move horizon" at the point it played ...c5

Note 24...Re1+, which just gives up the rook for nothing. That is the only way to delay the checkmate a couple of moves. A typical computer tactic, which will do anything to delay the checkmate.