A woman is playing ice hockey.
The woman is a professional hockey player.
You can not infer she is a professional.
exists e1 x1 x2 x3.(Theme(e1,x2) & Actor(e1,x1) & v_play(e1) & n_hockey(x2) & of(x2,x3) & n_ice(x3) & n_woman(x1))
exists p1 x1.(n_woman(x1) & exists s1 x2 x3.((x1 = x2) & n_player(x2) & of(x2,x3) & n_hockey(x3) & a_professional(s1) & Theme(s1,x2)))