AA 4343 then AS 39 at JFK
Nashville → New York → San Francisco
Timetable, New York time
21:00AA 4343 from Nashville at the gate
20:20AS 39 to San Francisco leaves the gate
23 h 20 apart on the timetable, overnight
AS 39 leaves 23 h 20 after AA 4343 arrives on the timetable: more than half a day, so not a connection we count.