A girl is jumping rope in a busy public area.
a girl jumps rope in the park
Sentence one doesn't clarify what type of busy public area so there is no way to tell if the park is the busy public area indicated.
exists e1 s1 s2 x1 x2 x3.(in(e1,x3) & n_area(x3) & a_public(s2) & Theme(s2,x3) & a_busy(s1) & Theme(s1,x3) & Theme(e1,x2) & Actor(e1,x1) & v_jump(e1) & n_rope(x2) & n_girl(x1))
exists e1 x1 x2 x3.(n_park(x3) & in(e1,x3) & Theme(e1,x2) & Actor(e1,x1) & v_jump(e1) & n_rope(x2) & n_girl(x1))