F9 4409 then AA 5503 at Atlanta
Washington → Atlanta → Washington National
Timetable, Atlanta time
23:13F9 4409 from Washington at the gate
17:16AA 5503 to Washington National leaves the gate
18 h 03 apart on the timetable, overnight
AA 5503 leaves 18 h 03 after F9 4409 arrives on the timetable: more than half a day, so not a connection we count.