This woman is riding a beautiful and well groomed horse.
A woman is riding her neighbor's horse.
The fact that the woman is riding a beautiful and well groomed horse does not imply that it is the neighbor's horse or any other ownership of the horse.
exists e2 e1 s1 x1 x2.(n_woman(x1) & Theme(e2,x2) & Actor(e2,x1) & v_ride(e2) & n_horse(x2) & Theme(e1,x2) & v_groom(e1) & r_well(x2) & a_beautiful(s1) & Theme(s1,x2))
exists e1 x1 x2 x3.(Theme(e1,x3) & Actor(e1,x1) & v_ride(e1) & n_horse(x3) & of(x3,x2) & n_neighbor(x2) & of(x2,x1) & n_female(x1) & n_woman(x1))