Several people with painted faces.
People painted their faces for a hockey game.
Just because the people painted their faces doesn't mean they did it for a hockey game.
exists s1 s2 x1 x2.(a_topic(x1) & with(x1,x2) & n_face(x2) & a_painted(s2) & Theme(s2,x2) & n_people(x1) & a_several(s1) & Theme(s1,x1))
exists e1 x1 x2 x3 x4.(for(e1,x3) & n_game(x3) & of(x3,x4) & n_hockey(x4) & Theme(e1,x2) & Actor(e1,x1) & v_paint(e1) & n_face(x2) & of(x2,x1) & n_thing(x1) & n_people(x1))