weekly Layton puzzle #012

Professor Layton and the Curious Village puzzle 029

requested by @des-syc

Five Suspects

Five suspects are called into police headquarters for questioning. They give the following statements.

A: "One of the five of us is lying."

B: "Two of the five of us are lying."

C: "I know these guys, and three of the five of us are lying."

D: "Don't listen to a word they say. Out of the five of us, four are lying."

E: "All five of us are dirty rotten liars!"

The police only want to release the suspects who are telling the truth.

How many people should they let go?