William hoped that Liam was given the cake beside a poster by Emma .
* cake ( x _ 7 ) ; hope . agent ( x _ 1 , William ) AND hope . ccomp ( x _ 1 , x _ 5 ) AND give . recipient ( x _ 5 , Liam ) AND give . theme ( x _ 5 , x _ 7 ) AND give . agent ( x _ 5 , Emma ) AND cake . nmod . beside ( x _ 7 , x _ 10 ) AND poster ( x _ 10 )