AA 5181 then AA 1533 at Philadelphia
Providence → Philadelphia → Houston
Timetable, Philadelphia time
06:36AA 5181 from Providence at the gate
19:26AA 1533 to Houston leaves the gate
12 h 50 apart on the timetable
AA 1533 leaves 12 h 50 after AA 5181 arrives on the timetable: more than half a day, so not a connection we count.