AA 642 then UA 4166 at O'Hare
Dallas-Fort Worth → Chicago → Madison
Timetable, Chicago time
13:10AA 642 from Dallas-Fort Worth at the gate
10:45UA 4166 to Madison leaves the gate
21 h 35 apart on the timetable, overnight
UA 4166 leaves 21 h 35 after AA 642 arrives on the timetable: more than half a day, so not a connection we count.