Goal:
  
  A : Type
  p : nat → A → bool
  q : nat → A → bool
  l : list A
  l' : list A
  n : nat
  a : A
  l0 : list A
  IHl0 : ∀ (p : nat → A → bool) (n : nat),
           alli p n l0 = alli (λ i : nat, p (n + i)) 0 l0
  x : nat
  ============================
   (p (S n + x) =1 p (S (n + x)))


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"