Women play lacrosse.
Women are playing lacrosse for their home team.
Women playing lacrosse does not necessarily mean for their home team.
exists e1 x1 x2.(Theme(e1,x2) & Actor(e1,x1) & v_play(e1) & n_lacrosse(x2) & n_woman(x1))
exists e1 x1 x2 x3 x4.(for(e1,x3) & n_team(x3) & of(x3,x4) & n_home(x4) & of(x3,x1) & n_thing(x1) & Theme(e1,x2) & Actor(e1,x1) & v_play(e1) & n_lacrosse(x2) & n_woman(x1))