Five men were brought to the police station for questioning. It was certain both robbers were present. To narrow the field, each man was individually interrogated about the identities of the robbers. The results were:
Alex: 1. At most one of Bill and Eddy is guilty. 2. Dave is guilty.
Bill: 1. Both Alex and Carl are guilty. 2. Eddy is not guilty.
Carl: 1. At least one of Dave and Eddy is guilty. 2. Bill is not guilty.
Dave: 1. Exactly one of Alex and Bill is guilty. 2. Carl is guilty.
Eddy: 1. Neither Carl nor Dave is guilty. 2. Alex is guilty.
Which two suspects robbed the bank?