IB 344 then FR 494 at Madrid
Chicago → Madrid → Dublin
Timetable, Madrid time
09:55IB 344 from Chicago at the gate
23:10FR 494 to Dublin leaves the gate
13 h 15 apart on the timetable
FR 494 leaves 13 h 15 after IB 344 arrives on the timetable: more than half a day, so not a connection we count.