Goal:
  
  A : Type
  B : Type
  P : list A → list A → A → A → B → Type
  a : B
  ls1 : list B
  IH : ∀ ls2 ls3 : list A,
         All2_fold (λ (l1 l2 : list A) (x y : A), All (P l1 l2 x y) ls1) ls2
           ls3
         → All
             (λ z : B,
                All2_fold (λ (l1 l2 : list A) (x y : A), P l1 l2 x y z) ls2
                  ls3) ls1
  a0 : A
  ls2 : list A
  a1 : A
  ls3 : list A
  X0 : All2_fold (λ (l1 l2 : list A) (x y : A), All (P l1 l2 x y) (a :: ls1))
         ls2 ls3
  X : P ls2 ls3 a0 a1 a
  X2 : All (P ls2 ls3 a0 a1) ls1
  x : B
  ============================
   (All2_fold (λ (l1 l2 : list A) (x0 y : A), P l1 l2 x0 y x) ls2 ls3)


DEBUG:Going to execute:
<Coq.Init.Tauto.axioms> flags ||
             match reverse goal with
             | id:(?X1 → ?X2) → ?X3
               |- _ =>
                   Ltac.cut X3;
                    [ intro; clear id; t_tauto_intuit
                    | Ltac.cut (X1 → X2);
                       [ exact
                       id
                       | generalize (λ y : X2, id (λ x : X1, y)); intro;
                          clear id; (solve [ t_tauto_intuit ]) ] ]
             | id:¬ ?X1 → ?X3
               |- _ =>
                   Ltac.cut X3;
                    [ intro; clear id; t_tauto_intuit
                    | Ltac.cut (¬ X1);
                       [ exact
                       id
                       | clear id; intro; (solve [ t_tauto_intuit ]) ] ]
             | |- ?X1 =>
                   <Coq.Init.Tauto.is_disj> flags X1; (solve
                    [ Ltac.left; t_tauto_intuit
                    | Ltac.right; t_tauto_intuit ])
             end ||
               match goal with
               | |- _ → _ => intro; t_tauto_intuit
               | |- _ => t_reduce; t_solver
               end || t_solver
Level 2: evaluation returns
<coq-core.plugins.tauto::is_conj@0>
where
tauto_flags := 
of type
tauto_flags
X1 := All2_fold (λ (l1 l2 : list A) (x0 y : A), P l1 l2 x0 y x) ls2 ls3
of type
constr of type tacvalue

Level 2: Backtrace:

Tactic failure.
Level 2: Backtrace:

Tactic failure.
Level 1: Backtrace:

Tactic failure.
Level 1: Backtrace:

Tactic failure.
Level 0: Backtrace:

No matching clauses for match.
Level 0: Backtrace:

No matching clauses for match.