Who is Liar

Number One: I killed the burden. Before I died, I think I heard someone jump off a building. Number Two: I told them not to fight amongst ourselves, but Number Three strangled Number Five to death, and her own face turned a terrifying green. Number Three: Number Four and her boyfriend went their separate ways from us on a bus. What surprised me was that Number Five was actually a man. Number Four: I was shot. Due to unequal distribution of spoils, everyone had ulterior motives. It seems only one person can leave alive today. Number Five: Number Four discovered Number Six was poisoning Number Three, so she shot Number Six, but she seemed to have been shot herself. Number Six: I saw Number One cook a meal. After eating, Number Two killed Number One. Hint: This is a pure deduction puzzle. Only one person in the story is lying. Restore the truth in any order. (Recommended play: It's best not to ask the liar sequentially, or use a binary search method.)