The spectators wear hats
the spectators wear things on their heads
Hats would be things on their heads.
exists e1 x1 x2.(n_spectator(x1) & Theme(e1,x2) & Actor(e1,x1) & v_wear(e1) & n_hat(x2))
exists e1 x1 x2 x3.(n_head(x3) & of(x3,x1) & n_thing(x1) & n_spectator(x1) & on(e1,x3) & Theme(e1,x2) & Actor(e1,x1) & v_wear(e1) & n_thing(x2))