A crane lifts into the air above the water.
A crane lifts a box into the air.
The crane being lift is not implied to be lift in air above water.
exists e1 x1 x2 x3.(n_water(x3) & n_air(x2) & into(e1,x2) & above(x2,x3) & Actor(e1,x1) & v_lift(e1) & n_crane(x1))
exists e1 x1 x2 x3.(n_air(x3) & into(e1,x3) & Theme(e1,x2) & Actor(e1,x1) & v_lift(e1) & n_box(x2) & n_crane(x1))