Goal:
  
  A : Type
  P : A → A → Type
  Q : A → A → Type
  hd : A
  hd' : A
  tl : list A
  p : P hd hd'
  X : ∀ x y : A, P x y → Q x y
  ============================
   (Q hd hd')


DEBUG:Going to execute:
match goal with
           | |- _ → _ => intro; t_tauto_intuit
           | |- _ => t_reduce; t_solver
           end