In a factory, there is an employee dormitory with 7 people A, B, C, D, E, F, J and G, each of whom needs to be on duty one day in turn every week, and only one person is arranged to be on duty every day. The arrangement of their duty also needs to meet the following conditions :(1) B is on duty on Tuesday or Saturday; (2) If A is on duty on Monday, then C is on duty on Wednesday and E is on duty on Friday; (3) If A is not on duty on Monday, then he is on duty on Thursday and G on duty on Friday; (4) If B is on duty on Tuesday, he is on duty on Saturday.
on Thursday, which of the following must be false?
E on duty Sunday.