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Every professor in the math department is a truthteller (always tells the truth) or a liar (always says false statements). Five professors make the following

Every professor in the math department is a truthteller (always tells the truth) or a

liar (always says false statements). Five professors make the following statements:

Alice: "If I am a liar, then so is Bob".

Bob: "If I am a liar, then so is Carol."

Carol: "If I am a liar, then so is Dave."

Dave: "If I am a liar, then so is Eve."

Eve: "If I am a liar, then so is Alice."

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