AA 5181 then AA 6574 at Philadelphia
Providence → Philadelphia → Wilmington (ILG)
Timetable, Philadelphia time
06:36AA 5181 from Providence at the gate
18:49AA 6574 to Wilmington (ILG) leaves the gate
12 h 13 apart on the timetable
AA 6574 leaves 12 h 13 after AA 5181 arrives on the timetable: more than half a day, so not a connection we count.