The spectators wear hats
The spectators wear hats to shield from the heat
The spectators do not necessarily wear hats to shield from the heat.
exists e1 x1 x2.(n_spectator(x1) & Theme(e1,x2) & Actor(e1,x1) & v_wear(e1) & n_hat(x2))
exists e1 p1 x1 x2 x3.(n_heat(x3) & n_spectator(x1) & Topic(e1,p1) & exists e2.(from(e2,x3) & Actor(e2,x1) & v_shield(e2)) & Theme(e1,x2) & Actor(e1,x1) & v_wear(e1) & n_hat(x2))