The owner of the mansion has been murdered. The visitors to the mansion were Allen, Bixby, and Crain.
- The murderer, who was one of the three visitors, arrived at the mansion later than at least one of the other two visitors.
- A detective, who was one of the three visitors, arrived at the mansion earlier than at least one of the other two visitors.
- The detective arrived at the mansion at midnight.
- Neither Allen nor Bixby arrived at the mansion after midnight.
- The earlier arriver of Bixby and Crain was not the detective.
- The later arriver of Allen and Crain was not the murderer.
Who was the murderer?
