UCD 0 Bohemians 1:A WELL-TAKEN winner from Brendan McGill, coupled to Finn Harps' coming from behind to beat Drogheda, relegated UCD after four seasons in the Premier Division.
Utterly dominant from the start, Bohemians deservedly got what proved the game's only goal on 20 minutes.
Glen Crowe, Glen Cronin and Owen Heary missed chances before Mark Rossiter's sublime pass put McGill in behind the home defence to slip the ball past Matt Gregg.
Gregg had to come to the rescue to prevent a second Bohemians goal a minute before the break when tipping over Jason Byrne's well-struck shot from the right.
Bohemians should have doubled their lead on 64 minutes. Byrne's cross picked out defender Liam Burns at the back post and Gregg had to save well with this feet.
Shane McFaul had UCD's best opening of the night on 78 minutes, but Murphy was equal to it, standing big to make the save from point-blank range.
UCD: Gregg; Shortall, McMillan, Kenna, Bermingham; Finn, McFaul, King (Cahalane, 77 mins), Duggan; Purcell (Meenan, 66 mins), McWalter.
BOHEMIANS: Murphy; O Heary, Oman, Burns, Rossiter; McGill, ODonnell (Deegan, half-time), Cronin (T Heary, 79 mins), Kalonas; Crowe (Singh, 53 mins), Byrne.
Referee: D Hancock (Dublin).