premise: On a Tuesday, an accountant has exactly seven bills—numbered 1 through 7—to pay by Thursday of the same week. The accountant will pay each bill only once according to the following rules: Either three or four of the seven bills must be paid on Wednesday, the rest on Thursday. Bill 1 cannot be paid on the same day as bill 5. Bill 2 must be paid on Thursday. Bill 4 must be paid on the same day as bill 7. If bill 6 is paid on Wednesday, bill 7 must be paid on Thursday. Which one of the following is a complete and accurate list of the bills any one of which could be among the bills paid on Wednesday?
hypothesis: 1, 2, 3, 4, 5, 6, and 7