K4 556 then JX 805 at Narita
Chicago → Tokyo → Taipei
Timetable, Tokyo time
21:48K4 556 from Chicago at the gate
20:10JX 805 to Taipei leaves the gate
22 h 22 apart on the timetable, overnight
JX 805 leaves 22 h 22 after K4 556 arrives on the timetable: more than half a day, so not a connection we count.