What's the Name of That Book??? discussion

This topic is about
Ancient, My Enemy
SOLVED: Adult Fiction
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sci fi short story - 2 men at outpost with computer running life support. One of them bets the other he can shut it down. [s]
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One man bets the other he can shut it down.
SPOILER
He tells the computer that everything he says is a lie and to disregard it. The computer shuts down, and then the two men realize there's no way to start it back up, and the story ends with the temperature slowly dropping.
I think this was in Reader's Digest in the 80s or 90s?