Who won the race?

Four athletes, Ann, Bea, Carol, and Dorothy went out one morning and ran a race. At the end of the race. At the end of the race, the following statements were made:
Ann: “I didn’t come in first or last.”
Bea: “I didn’t come in last.”
Carol: “I was first.”
Dorothy: “I was last.”
It is known that one, and one only, of the four athletes, is lying.
Who won the race?

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The winner was Bea, and Carol was lying. With only Carol lying, Ann, Carol, and Dorothy could not have won. All other possibilities do not work in one way or another.

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