The dog plays with a purple toy near a cat.
The purple toy belongs to the cat.
You can not infer it belongs to the cat.
exists e1 s1 x1 x2 x3.(n_dog(x1) & with(e1,x2) & near(x2,x3) & n_cat(x3) & n_toy(x2) & a_purple(s1) & Theme(s1,x2) & Actor(e1,x1) & v_play(e1))
exists e1 s1 x1 x2.(n_cat(x2) & n_toy(x1) & a_purple(s1) & Theme(s1,x1) & to(e1,x2) & Actor(e1,x1) & v_belong(e1))