Goal:
  
  x : V.t
  s1 : VSet.t
  s2 : VSet.t
  addx : VSetProp.Add x s1 s2
  xnotins1 : ~ VSet.In x s1
  y : VSet.elt
  ============================
   (VSet.In y (VSet.add x s2) <-> x = y \/ VSet.In y s1)


DEBUG:Going to execute:
solve
[ do
![ solve
 [ trivial | apply : eq_sym ; trivial ]
 | discriminate
 | contradiction
 | Ltac.split ]
| case not_locked_false_eq_true; Ltac.assumption
| match goal with
  | H:~ _ |- _ => solve [ case H; trivial ]
  end ]