The man is standing next to a bird cage.
The man is near a cage.
Standing next to is synonymous with standing next to the bird cage.
exists e1 x1 x2 x3.(n_man(x1) & to(e1,x2) & n_cage(x2) & of(x2,x3) & n_bird(x3) & r_next(e1) & Actor(e1,x1) & v_stand(e1))
exists p1 x1.(n_man(x1) & exists x2.(near(x1,x2) & n_cage(x2)))