A woman is climbing up a steep mountain over water.
woman is mad
The first sentence doesn't refer to the woman climbing up a steep mountain as mad.
exists e1 s1 s2 x1 x2 x3.(over(e1,x3) & n_water(x3) & a_up(s2) & Manner(e1,s2) & Theme(e1,x2) & Actor(e1,x1) & v_climb(e1) & n_mountain(x2) & a_steep(s1) & Theme(s1,x2) & n_woman(x1))
exists s1 x1.(Theme(s1,x1) & a_mad(s1) & n_woman(x1))