A woman walking with a blue umbrella.
a woman are walking outside of the house
A woman with an umbrella does not necessarily imply that she is walking outside or leaving a house.
exists e1 s1 x1 x2 x3.(a_topic(x1) & with(e1,x3) & n_umbrella(x3) & a_blue(s1) & Theme(s1,x3) & Actor(e1,x2) & v_walk(e1) & (x1 = x2) & n_woman(x1))
exists e1 x1 x2.(n_house(x2) & of(e1,x2) & r_outside(e1) & Actor(e1,x1) & v_walk(e1) & n_woman(x1))