From filmsite.org:
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A classic confrontation between computer and human intelligence is staged with a chess game between Frank and HAL - game-playing is a major way to pass the time during the long hours and days of the 18 month journey to Jupiter. Frank's pieces are white (on his side of the chessboard), HAL's are black. The film follows a game already in progress:
Frank: Umm...anyway, Queen takes pawn. OK?
HAL: Bishop takes Knight's pawn.
Frank: Hmm, that's a good move. Er...Rook to King One.
HAL: I'm sorry, Frank. I think you missed it. Queen to Bishop Three. Bishop takes Queen. Knight takes Bishop. Mate.
Frank: Ah...Yeah, looks like you're right. I resign.
HAL: Thank you for a very enjoyable game.
Frank: Yeah. Thank you.
After HAL warns Frank that he has checkmated himself, Frank after only a brief pause, assumes that HAL is right and resigns. [Human fallibility and failings are demonstrated with Frank's loss and abdication to the machine. HAL, however, foreshadowing his future errors, should have said 'Queen to Bishop Six,' not three - he used the wrong notational viewpoint to describe the moves.]
Queen to Bishop Six
Bishop takes Queen
Knight takes Bishop
Checkmate...
HAL wins the chess game over Poole - foreshadowing Poole's death - and possibly Bowman's 'immortality'. [The game is a recreation of one of the most brilliant chess games ever played, known universally as "The Immortal Game" - that occurred between Adolf Anderssen and Lionel Kieseritzky in London in 1851. It was also used in Blade Runner (1982) in the game between Tyrell and Sebastian.]
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By the way, I haven't seen this miniseries yet, but plan on seeing it soon, and just as a note Kubrick really loved these films (though they were obviously released about two decades after 2001).
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