A dog runs headlong towards a hurdle.
the dog is outside
A dog doesn't have to be outside to run towards a hurdle.
exists e1 p1 x1 x2.(towards(e1,x2) & n_hurdle(x2) & exists s1.(Theme(s1,x1) & a_headlong(s1)) & Topic(e1,p1) & Actor(e1,x1) & v_run(e1) & n_dog(x1))
exists s1 x1.(n_dog(x1) & Theme(s1,x1) & a_outside(s1))