The cake is a liar!

Alan, Ben, Chris, Dave and Emma are eating a big cake. After eating, there was one slice left, and they decided to leave it for Frank but someone ate it! Frank knows that these 5 people are each telling one truth and one lie:

Alan says, "It wasn't Emma. It was Ben."
Ben says, "It wasn't Chris. It wasn't Emma."
Chris says, "It was Emma. It wasn't Alan."
Dave says, "It was Chris. It was Ben."
Emma says, "It was Dave. It wasn't Alan."

Who ate the last slice of cake?


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