A white dog with a black collar runs in the snow.
A white dog is searching for a toy in the snow.
Not all running dogs are searching for a toy.
exists s1 s2 x1 x2 x3 x4.(n_snow(x4) & a_topic(x1) & with(x1,x2) & in(x2,x4) & n_run(x2) & of(x2,x3) & n_collar(x3) & a_black(s2) & Theme(s2,x2) & n_dog(x1) & a_white(s1) & Theme(s1,x1))
exists e1 s1 x1 x2 x3.(n_snow(x3) & for(e1,x2) & in(x2,x3) & n_toy(x2) & Actor(e1,x1) & v_search(e1) & n_dog(x1) & a_white(s1) & Theme(s1,x1))