Olivia noticed that a cake was sold to the boy by Liam .
* boy ( x _ 9 ) ; notice . agent ( x _ 1 , Olivia ) AND notice . ccomp ( x _ 1 , x _ 6 ) AND cake ( x _ 4 ) AND sell . theme ( x _ 6 , x _ 4 ) AND sell . recipient ( x _ 6 , x _ 9 ) AND sell . agent ( x _ 6 , Liam )