Goal:
    A : Type  H : ReflectEq A  l : list A  _x_ : list A
  ============================
   (∀ (a : A) (l : list A), [] = (a :: l) ++ _x_ → a :: l = [])


DEBUG:Going to execute:
trivial; hnf; intros; (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 ])