DL 3889 then DL 1334 at Detroit
Omaha → Detroit → Nashville
Timetable, Detroit time
20:58DL 3889 from Omaha at the gate
20:50DL 1334 to Nashville leaves the gate
23 h 52 apart on the timetable, overnight
DL 1334 leaves 23 h 52 after DL 3889 arrives on the timetable: more than half a day, so not a connection we count.