Puzzle #108: Truth and Lies

Tom, Dick, and Harry each made two consecutive statements. Truthtellers always tell the truth, Liars always lie, and Fencesitters alternate between telling the truth and lying.

Tom stated, “Dick is a Liar.” and “Harry is not a Fencesitter.”

Dick stated, “Harry is a Liar.” and “I am not a Liar.”

Harry stated, “I am a Fencesitter.” and “Tom is a Fencesitter.”

Determine the truth of each of the six statements.

Submit your answer to Gene Wirchenko <genew@telus.net>. Your answer should be in the form of a proof. That means to show how your answer must be correct. The deadline is Wednesday, July 1, 2015 at noon Pacific Time. I will post the answer shortly after.