A little girl is playing outside in the cold on ice.
A small girl is playing hockey outside.
Just because the girls are playing on ice does not mean they are specifically playing hockey.
exists e1 s1 x1 x2 x3 x4.(n_cold(x3) & in(e1,x3) & on(x3,x4) & n_ice(x4) & Theme(e1,x2) & Actor(e1,x1) & v_play(e1) & n_outside(x2) & n_girl(x1) & a_little(s1) & Theme(s1,x1))
exists e1 s1 s2 x1 x2.(a_outside(s2) & Manner(e1,s2) & Theme(e1,x2) & Actor(e1,x1) & v_play(e1) & n_hockey(x2) & n_girl(x1) & a_small(s1) & Theme(s1,x1))