DL 706 then DL 5308 at Atlanta
Denver → Atlanta → Lafayette
Timetable, Atlanta time
18:01DL 706 from Denver at the gate
13:59DL 5308 to Lafayette leaves the gate
19 h 58 apart on the timetable, overnight
DL 5308 leaves 19 h 58 after DL 706 arrives on the timetable: more than half a day, so not a connection we count.