BA 713 then AA 9600 at Heathrow
Zurich → London → Chicago
Timetable, London time
14:10BA 713 from Zurich at the gate
13:00AA 9600 to Chicago leaves the gate
22 h 50 apart on the timetable, overnight
AA 9600 leaves 22 h 50 after BA 713 arrives on the timetable: more than half a day, so not a connection we count.