A woman does a wheelie on a bicycle with purple wheels.
A woman does a wheelie on her bike
A bike is a short form of a bicycle.  There is a woman who does a wheelie on her bike.
exists e1 s1 x1 x2 x3 x4.(on(e1,x3) & with(x3,x4) & n_wheel(x4) & a_purple(s1) & Theme(s1,x4) & n_bicycle(x3) & Theme(e1,x2) & Actor(e1,x1) & v_do(e1) & n_wheelie(x2) & n_woman(x1))
exists e1 x1 x2 x3.(on(e1,x3) & n_bike(x3) & of(x3,x1) & n_female(x1) & Theme(e1,x2) & Actor(e1,x1) & v_do(e1) & n_wheelie(x2) & n_woman(x1))