There are trees with no leaves in the background.
All the trees have leaves
The tree either has leaves or no leaves.
exists p1 x1 x4.(n_background(x4) & exists x2.(-exists x3.((x1 = x2) & with(x2,x3) & in(x3,x4) & n_leaf(x3)) & n_tree(x2)))
exists x2.(n_tree(x2) & all x1.((x1 = x2) -> exists e1 x3.(Theme(e1,x3) & Actor(e1,x1) & v_have(e1) & n_leaf(x3))))