DL 1091 then KL 5638 at San Francisco
Salt Lake City → San Francisco → New York JFK
Timetable, San Francisco time
23:59DL 1091 from Salt Lake City at the gatealso VS 4542
22:25KL 5638 to New York JFK leaves the gate
22 h 26 apart on the timetable, overnight
KL 5638 leaves 22 h 26 after DL 1091 arrives on the timetable: more than half a day, so not a connection we count.