They thrashed the Deise by 0-28 to 0-14 in their Quarter-Final Replay at Semple Stadium this afternoon.
Cork will now face Clare in the semi final, in a repeat of last year's All-Ireland final.
Elsewhere, Dublin and Kildare have advanced to the Leinster Football Semi-Finals, after their wins at Croke Park today.
Dublin will play Wexford in the last four, after they came from behind at half-time to beat Laois by 2-21 to 0-16.
In the first game at Croke Park, Kildare hammered Louth by 1-22 to 1-07, and will go on to play either Meath or Carlow.
In Ulster Armagh beat Cavan by 1-12 to 0-09 in their Football Quarter-Final at the Athletic Grounds.
And Mayo are through to the Connacht Football Final.
They pipped Roscommon in a very tight semi final tie at Dr. Hyde Park, winning by 0-13 to 1-09.
