A woman watches a dog jump down the stairs.
The dog's owner watched her pet leap off the deck.
Just because a woman is watching a dog it does not mean that it is her pet. The dog jumping down the stairs is not necessarily leaping off a deck.
exists e1 x1 x2 x3 x4.(n_stair(x4) & Theme(e1,x2) & Actor(e1,x1) & v_watch(e1) & down(x2,x4) & n_jump(x2) & of(x2,x3) & n_dog(x3) & n_woman(x1))
exists e1 s1 x1 x2 x3 x4.(n_deck(x4) & n_leap(x3) & a_pet(s1) & Theme(s1,x3) & of(x3,x1) & n_female(x1) & n_owner(x2) & of(x2,x1) & n_dog(x1) & Theme(e1,x3) & Actor(e1,x2) & v_watch(e1) & off(x3,x4))