QF 3657 then QF 4113 at San Francisco
New York JFK → San Francisco → Dallas-Fort Worth
Timetable, San Francisco time
23:59QF 3657 from New York JFK at the gate
23:23QF 4113 to Dallas-Fort Worth leaves the gatealso GF 6708
23 h 24 apart on the timetable, overnight
QF 4113 leaves 23 h 24 after QF 3657 arrives on the timetable: more than half a day, so not a connection we count.