The children are sitting with their shoes off.
Some kids left their shoes by the door.
Having their shoes off does not mean they left them by the door.
exists e1 s1 x1 x2.(n_shoe(x2) & of(x2,x1) & n_thing(x1) & n_child(x1) & a_off(s1) & Manner(e1,s1) & with(e1,x2) & Actor(e1,x1) & v_sit(e1))
exists e1 x1 x2 x3.(n_door(x3) & by(e1,x3) & Theme(e1,x2) & Actor(e1,x1) & v_leave(e1) & n_shoe(x2) & of(x2,x1) & n_thing(x1) & n_kid(x1))