The brown dog runs on the snow with a white ball in his mouth.
A dog is playing fetch with its owner.
the dog with the ball in his mouth does not imply the dog is playing with its owner.
exists e1 s1 s2 x1 x2 x3 x4.(n_mouth(x4) & of(x4,x2) & n_male(x2) & n_snow(x2) & n_dog(x1) & a_brown(s1) & Theme(s1,x1) & with(e1,x3) & in(x3,x4) & n_ball(x3) & a_white(s2) & Theme(s2,x3) & on(e1,x2) & Actor(e1,x1) & v_run(e1))
exists e1 x1 x2 x3.(with(e1,x3) & n_owner(x3) & of(x3,x1) & n_thing(x1) & Theme(e1,x2) & Actor(e1,x1) & v_play(e1) & n_fetch(x2) & n_dog(x1))