A man has been killed and you are the detective on the case. You have interviewed the four suspects and their statements are shown below. Each suspect has said two sentences. One sentence of each suspect is a lie and one sentence is the truth.
Larry: I did not kill the victim. Either Curly is the killer or none of us is.
Curly: I did not kill the victim. Shemp is the killer.
Moe: I did not kill the victim. Curly is lying when he says Shemp is the killer.
Shemp: I did not kill the victim. If Larry did not kill him, then Curly did.
Which suspect is the killer?