AM 4558 then DL 670 at San Francisco
Salt Lake City → San Francisco → New York JFK
Timetable, San Francisco time
22:29AM 4558 from Salt Lake City at the gatealso WS 7898
22:25DL 670 to New York JFK leaves the gatealso AM 4305, SV 4360, LY 4444, VS 4848, LA 6189, KQ 7055
23 h 56 apart on the timetable, overnight
DL 670 leaves 23 h 56 after AM 4558 arrives on the timetable: more than half a day, so not a connection we count.