Goal:
  
  G : t
  HI : invariants G
  HG : acyclic_no_loop G
  n : Z
  x : V.t
  e : EdgeSet.elt
  Hle : leq_vertices G n x e..t
  Vy : ~ VSet.In e..t (V G)
  H : EdgeSet.In e (E G)
  n0 : e..s <> e..t
  ============================
   (EdgeSet.In e (E G))


DEBUG:Going to execute:
let do_atom := solve
           [ trivial
           with eq_true
           | reflexivity
           | symmetry; trivial
           | contradiction
           | congruence ]
           in
           let rec do_ccl :=
            try do_atom; repeat (do_intro; try do_atom); try arith_congr;
             (solve [ split; do_ccl ])
           in
           (solve [ do_atom | use_hyps; do_ccl ]) ||
             fail "Cannot solve this goal"