Chapman, from Canterbury, had been hoping to make history and become the first player to win six titles at the event over 5-7 June.
Nicknamed “The Force”, he also attempted to win the world title three years in a row when he competed this year.
In the final round, which Tompkins described as “very close”, Chapman, Bullin and the third finalist, David Woodcock, played under “crazy crazy rules” – this is the only round in the competition where all three players’ balls are in play simultaneously.
In the prior six rounds, one player plays until the ball is in the hole, then it is the next player’s turn.