The girl thought that Olivia believed that the cake was helped by the child .
* girl ( x _ 1 ) ; * cake ( x _ 8 ) ; * child ( x _ 13 ) ; think . agent ( x _ 2 , x _ 1 ) AND think . ccomp ( x _ 2 , x _ 5 ) AND believe . agent ( x _ 5 , Olivia ) AND believe . ccomp ( x _ 5 , x _ 10 ) AND help . theme ( x _ 10 , x _ 8 ) AND help . agent ( x _ 10 , x _ 13 )