A dark dog jumps across the snow near the woods.
The dog is chasing a deer.
A dog 'jumping across the snow' in no way implies that the dog is chasing anything, including a deer.
exists s1 x1 x2 x3 x4.(n_wood(x4) & n_snow(x3) & a_topic(x1) & near(x1,x4) & across(x1,x3) & n_jump(x1) & of(x1,x2) & n_dog(x2) & a_dark(s1) & Theme(s1,x1))
exists e1 x1 x2.(n_dog(x1) & Theme(e1,x2) & Actor(e1,x1) & v_chase(e1) & n_deer(x2))