Emma proved that a cat gave the cake on the stage to William .
* cake ( x _ 7 ) ; * stage ( x _ 10 ) ; prove . agent ( x _ 1 , Emma ) AND prove . ccomp ( x _ 1 , x _ 5 ) AND cat ( x _ 4 ) AND give . agent ( x _ 5 , x _ 4 ) AND give . theme ( x _ 5 , x _ 7 ) AND give . recipient ( x _ 5 , William ) AND cake . nmod . on ( x _ 7 , x _ 10 )