AA 4343 then DL 784 at JFK
Nashville → New York → Phoenix
Timetable, New York time
21:00AA 4343 from Nashville at the gate
19:59DL 784 to Phoenix leaves the gate
22 h 59 apart on the timetable, overnight
DL 784 leaves 22 h 59 after AA 4343 arrives on the timetable: more than half a day, so not a connection we count.