The woman is looking out on the beach.
A woman searches for her lost child at the beach.
The woman in sentence one could be admiring the view. Looking out on the beach does not mean she searches for someone.
exists e1 s1 x1 x2.(n_beach(x2) & n_woman(x1) & a_out(s1) & Manner(e1,s1) & on(e1,x2) & Actor(e1,x1) & v_look(e1))
exists s1 x1 x2 x3 x4.(n_beach(x4) & a_topic(x1) & for(x1,x3) & at(x3,x4) & n_child(x3) & a_lost(s1) & Theme(s1,x3) & of(x3,x1) & n_female(x1) & n_search(x1) & of(x1,x2) & n_woman(x2))