AC 3997 then AA 2553 at San Francisco
Boise → San Francisco → Philadelphia
Timetable, San Francisco time
09:23AC 3997 from Boise at the gatealso UA 4639, NH 7335
08:30AA 2553 to Philadelphia leaves the gatealso BA 5617
23 h 07 apart on the timetable, overnight
AA 2553 leaves 23 h 07 after AC 3997 arrives on the timetable: more than half a day, so not a connection we count.