AA 4264 then 5X 5661 at O'Hare
Sioux Falls → Chicago → Louisville
Timetable, Chicago time
09:02AA 4264 from Sioux Falls at the gate
09:005X 5661 to Louisville leaves the gate
23 h 58 apart on the timetable, overnight
5X 5661 leaves 23 h 58 after AA 4264 arrives on the timetable: more than half a day, so not a connection we count.