A dog jumps through a hoop.
The dog jumps through a hoop during a show.
The dog doesn't have to be in a show to jump through a hoop.
exists e1 x1 x2.(through(e1,x2) & n_hoop(x2) & Actor(e1,x1) & v_jump(e1) & n_dog(x1))
exists e1 x1 x2 x3.(n_dog(x1) & during(e1,x3) & n_show(x3) & through(e1,x2) & n_hoop(x2) & Actor(e1,x1) & v_jump(e1))