Goal:
  
  A : Type
  B : Type
  map_InP : ∀ l : list A, (∀ x : A, In x l → B) → list B
  x : A
  xs : list A
  f : ∀ x0 : A, In x0 (x :: xs) → B
  ============================
   (x = x ∨ In x xs)


DEBUG:Going to execute:
try Tactics.program_solve_wf
Level 0: Backtrace:

Tactic failure: Proof search failed without reaching its limit.
Level 0: Backtrace:

Tactic failure: Proof search failed without reaching its limit.