A dog jumps off the stairs.
A dog is jumping down the stairs to greet it's owner.
A dog could also jump off the stairs to chase another dog, not just to greet it's owner.
exists e1 s1 x1 x2.(n_stair(x2) & a_off(s1) & Manner(e1,s1) & Theme(e1,x2) & Actor(e1,x1) & v_jump(e1) & n_dog(x1))
exists e1 p1 s1 x1 x2 x3.(n_thing(x3) & n_stair(x3) & Topic(e1,p1) & exists e2 p2.(exists p3 x4.((x3 = x4) & n_owner(x4)) & Topic(e2,p2) & Actor(e2,x1) & v_greet(e2)) & a_down(s1) & Manner(e1,s1) & Theme(e1,x3) & Actor(e1,x2) & v_jump(e1) & n_dog(x2) & n_dog(x1))