Emma appreciated that Olivia offered the cake to Liam .
* cake ( x _ 6 ) ; appreciate . agent ( x _ 1 , Emma ) AND appreciate . ccomp ( x _ 1 , x _ 4 ) AND offer . agent ( x _ 4 , Olivia ) AND offer . theme ( x _ 4 , x _ 6 ) AND offer . recipient ( x _ 4 , Liam )