AA 4504 then UA 5530 at O'Hare
South Bend → Chicago → Madison
Timetable, Chicago time
18:35AA 4504 from South Bend at the gate
13:59UA 5530 to Madison leaves the gate
19 h 24 apart on the timetable, overnight
UA 5530 leaves 19 h 24 after AA 4504 arrives on the timetable: more than half a day, so not a connection we count.