MAYBE
Time: 0.046233
TRS:
 { app(app(app(app(filter2(), true()), f), x), xs) -> app(app(cons(), x), app(app(filter(), f), xs)),
  app(app(app(app(filter2(), false()), f), x), xs) -> app(app(filter(), f), xs),
             app(app(+(), app(app(+(), x), y)), z) -> app(app(+(), x), app(app(+(), y), z)),
             app(app(*(), x), app(app(+(), y), z)) -> app(app(+(), app(app(*(), x), y)), app(app(*(), x), z)),
             app(app(*(), app(app(+(), y), z)), x) -> app(app(+(), app(app(*(), x), y)), app(app(*(), x), z)),
             app(app(*(), app(app(*(), x), y)), z) -> app(app(*(), x), app(app(*(), y), z)),
       app(app(map(), f), app(app(cons(), x), xs)) -> app(app(cons(), app(f, x)), app(app(map(), f), xs)),
                         app(app(map(), f), nil()) -> nil(),
    app(app(filter(), f), app(app(cons(), x), xs)) -> app(app(app(app(filter2(), app(f, x)), f), x), xs),
                      app(app(filter(), f), nil()) -> nil()}
 DP:
  DP:
   { app#(app(app(app(filter2(), true()), f), x), xs) -> app#(app(cons(), x), app(app(filter(), f), xs)),
     app#(app(app(app(filter2(), true()), f), x), xs) -> app#(app(filter(), f), xs),
     app#(app(app(app(filter2(), true()), f), x), xs) -> app#(cons(), x),
     app#(app(app(app(filter2(), true()), f), x), xs) -> app#(filter(), f),
    app#(app(app(app(filter2(), false()), f), x), xs) -> app#(app(filter(), f), xs),
    app#(app(app(app(filter2(), false()), f), x), xs) -> app#(filter(), f),
               app#(app(+(), app(app(+(), x), y)), z) -> app#(app(+(), x), app(app(+(), y), z)),
               app#(app(+(), app(app(+(), x), y)), z) -> app#(app(+(), y), z),
               app#(app(+(), app(app(+(), x), y)), z) -> app#(+(), y),
               app#(app(*(), x), app(app(+(), y), z)) -> app#(app(+(), app(app(*(), x), y)), app(app(*(), x), z)),
               app#(app(*(), x), app(app(+(), y), z)) -> app#(app(*(), x), y),
               app#(app(*(), x), app(app(+(), y), z)) -> app#(app(*(), x), z),
               app#(app(*(), x), app(app(+(), y), z)) -> app#(+(), app(app(*(), x), y)),
               app#(app(*(), app(app(+(), y), z)), x) -> app#(app(+(), app(app(*(), x), y)), app(app(*(), x), z)),
               app#(app(*(), app(app(+(), y), z)), x) -> app#(app(*(), x), y),
               app#(app(*(), app(app(+(), y), z)), x) -> app#(app(*(), x), z),
               app#(app(*(), app(app(+(), y), z)), x) -> app#(+(), app(app(*(), x), y)),
               app#(app(*(), app(app(+(), y), z)), x) -> app#(*(), x),
               app#(app(*(), app(app(*(), x), y)), z) -> app#(app(*(), x), app(app(*(), y), z)),
               app#(app(*(), app(app(*(), x), y)), z) -> app#(app(*(), y), z),
               app#(app(*(), app(app(*(), x), y)), z) -> app#(*(), y),
         app#(app(map(), f), app(app(cons(), x), xs)) -> app#(f, x),
         app#(app(map(), f), app(app(cons(), x), xs)) -> app#(app(map(), f), xs),
         app#(app(map(), f), app(app(cons(), x), xs)) -> app#(app(cons(), app(f, x)), app(app(map(), f), xs)),
         app#(app(map(), f), app(app(cons(), x), xs)) -> app#(cons(), app(f, x)),
      app#(app(filter(), f), app(app(cons(), x), xs)) -> app#(f, x),
      app#(app(filter(), f), app(app(cons(), x), xs)) -> app#(app(app(app(filter2(), app(f, x)), f), x), xs),
      app#(app(filter(), f), app(app(cons(), x), xs)) -> app#(app(app(filter2(), app(f, x)), f), x),
      app#(app(filter(), f), app(app(cons(), x), xs)) -> app#(app(filter2(), app(f, x)), f),
      app#(app(filter(), f), app(app(cons(), x), xs)) -> app#(filter2(), app(f, x))}
  TRS:
  { app(app(app(app(filter2(), true()), f), x), xs) -> app(app(cons(), x), app(app(filter(), f), xs)),
   app(app(app(app(filter2(), false()), f), x), xs) -> app(app(filter(), f), xs),
              app(app(+(), app(app(+(), x), y)), z) -> app(app(+(), x), app(app(+(), y), z)),
              app(app(*(), x), app(app(+(), y), z)) -> app(app(+(), app(app(*(), x), y)), app(app(*(), x), z)),
              app(app(*(), app(app(+(), y), z)), x) -> app(app(+(), app(app(*(), x), y)), app(app(*(), x), z)),
              app(app(*(), app(app(*(), x), y)), z) -> app(app(*(), x), app(app(*(), y), z)),
        app(app(map(), f), app(app(cons(), x), xs)) -> app(app(cons(), app(f, x)), app(app(map(), f), xs)),
                          app(app(map(), f), nil()) -> nil(),
     app(app(filter(), f), app(app(cons(), x), xs)) -> app(app(app(app(filter2(), app(f, x)), f), x), xs),
                       app(app(filter(), f), nil()) -> nil()}
  EDG:
   {
    (app#(app(+(), app(app(+(), x), y)), z) -> app#(app(+(), x), app(app(+(), y), z)), app#(app(+(), app(app(+(), x), y)), z) -> app#(+(), y))
    (app#(app(+(), app(app(+(), x), y)), z) -> app#(app(+(), x), app(app(+(), y), z)), app#(app(+(), app(app(+(), x), y)), z) -> app#(app(+(), y), z))
    (app#(app(+(), app(app(+(), x), y)), z) -> app#(app(+(), x), app(app(+(), y), z)), app#(app(+(), app(app(+(), x), y)), z) -> app#(app(+(), x), app(app(+(), y), z)))
    (app#(app(app(app(filter2(), false()), f), x), xs) -> app#(app(filter(), f), xs), app#(app(filter(), f), app(app(cons(), x), xs)) -> app#(filter2(), app(f, x)))
    (app#(app(app(app(filter2(), false()), f), x), xs) -> app#(app(filter(), f), xs), app#(app(filter(), f), app(app(cons(), x), xs)) -> app#(app(filter2(), app(f, x)), f))
    (app#(app(app(app(filter2(), false()), f), x), xs) -> app#(app(filter(), f), xs), app#(app(filter(), f), app(app(cons(), x), xs)) -> app#(app(app(filter2(), app(f, x)), f), x))
    (app#(app(app(app(filter2(), false()), f), x), xs) -> app#(app(filter(), f), xs), app#(app(filter(), f), app(app(cons(), x), xs)) -> app#(app(app(app(filter2(), app(f, x)), f), x), xs))
    (app#(app(app(app(filter2(), false()), f), x), xs) -> app#(app(filter(), f), xs), app#(app(filter(), f), app(app(cons(), x), xs)) -> app#(f, x))
    (app#(app(+(), app(app(+(), x), y)), z) -> app#(app(+(), y), z), app#(app(+(), app(app(+(), x), y)), z) -> app#(+(), y))
    (app#(app(+(), app(app(+(), x), y)), z) -> app#(app(+(), y), z), app#(app(+(), app(app(+(), x), y)), z) -> app#(app(+(), y), z))
    (app#(app(+(), app(app(+(), x), y)), z) -> app#(app(+(), y), z), app#(app(+(), app(app(+(), x), y)), z) -> app#(app(+(), x), app(app(+(), y), z)))
    (app#(app(*(), app(app(+(), y), z)), x) -> app#(app(*(), x), z), app#(app(*(), app(app(*(), x), y)), z) -> app#(*(), y))
    (app#(app(*(), app(app(+(), y), z)), x) -> app#(app(*(), x), z), app#(app(*(), app(app(*(), x), y)), z) -> app#(app(*(), y), z))
    (app#(app(*(), app(app(+(), y), z)), x) -> app#(app(*(), x), z), app#(app(*(), app(app(*(), x), y)), z) -> app#(app(*(), x), app(app(*(), y), z)))
    (app#(app(*(), app(app(+(), y), z)), x) -> app#(app(*(), x), z), app#(app(*(), app(app(+(), y), z)), x) -> app#(*(), x))
    (app#(app(*(), app(app(+(), y), z)), x) -> app#(app(*(), x), z), app#(app(*(), app(app(+(), y), z)), x) -> app#(+(), app(app(*(), x), y)))
    (app#(app(*(), app(app(+(), y), z)), x) -> app#(app(*(), x), z), app#(app(*(), app(app(+(), y), z)), x) -> app#(app(*(), x), z))
    (app#(app(*(), app(app(+(), y), z)), x) -> app#(app(*(), x), z), app#(app(*(), app(app(+(), y), z)), x) -> app#(app(*(), x), y))
    (app#(app(*(), app(app(+(), y), z)), x) -> app#(app(*(), x), z), app#(app(*(), app(app(+(), y), z)), x) -> app#(app(+(), app(app(*(), x), y)), app(app(*(), x), z)))
    (app#(app(*(), app(app(+(), y), z)), x) -> app#(app(*(), x), z), app#(app(*(), x), app(app(+(), y), z)) -> app#(+(), app(app(*(), x), y)))
    (app#(app(*(), app(app(+(), y), z)), x) -> app#(app(*(), x), z), app#(app(*(), x), app(app(+(), y), z)) -> app#(app(*(), x), z))
    (app#(app(*(), app(app(+(), y), z)), x) -> app#(app(*(), x), z), app#(app(*(), x), app(app(+(), y), z)) -> app#(app(*(), x), y))
    (app#(app(*(), app(app(+(), y), z)), x) -> app#(app(*(), x), z), app#(app(*(), x), app(app(+(), y), z)) -> app#(app(+(), app(app(*(), x), y)), app(app(*(), x), z)))
    (app#(app(*(), x), app(app(+(), y), z)) -> app#(app(*(), x), y), app#(app(*(), app(app(*(), x), y)), z) -> app#(*(), y))
    (app#(app(*(), x), app(app(+(), y), z)) -> app#(app(*(), x), y), app#(app(*(), app(app(*(), x), y)), z) -> app#(app(*(), y), z))
    (app#(app(*(), x), app(app(+(), y), z)) -> app#(app(*(), x), y), app#(app(*(), app(app(*(), x), y)), z) -> app#(app(*(), x), app(app(*(), y), z)))
    (app#(app(*(), x), app(app(+(), y), z)) -> app#(app(*(), x), y), app#(app(*(), app(app(+(), y), z)), x) -> app#(*(), x))
    (app#(app(*(), x), app(app(+(), y), z)) -> app#(app(*(), x), y), app#(app(*(), app(app(+(), y), z)), x) -> app#(+(), app(app(*(), x), y)))
    (app#(app(*(), x), app(app(+(), y), z)) -> app#(app(*(), x), y), app#(app(*(), app(app(+(), y), z)), x) -> app#(app(*(), x), z))
    (app#(app(*(), x), app(app(+(), y), z)) -> app#(app(*(), x), y), app#(app(*(), app(app(+(), y), z)), x) -> app#(app(*(), x), y))
    (app#(app(*(), x), app(app(+(), y), z)) -> app#(app(*(), x), y), app#(app(*(), app(app(+(), y), z)), x) -> app#(app(+(), app(app(*(), x), y)), app(app(*(), x), z)))
    (app#(app(*(), x), app(app(+(), y), z)) -> app#(app(*(), x), y), app#(app(*(), x), app(app(+(), y), z)) -> app#(+(), app(app(*(), x), y)))
    (app#(app(*(), x), app(app(+(), y), z)) -> app#(app(*(), x), y), app#(app(*(), x), app(app(+(), y), z)) -> app#(app(*(), x), z))
    (app#(app(*(), x), app(app(+(), y), z)) -> app#(app(*(), x), y), app#(app(*(), x), app(app(+(), y), z)) -> app#(app(*(), x), y))
    (app#(app(*(), x), app(app(+(), y), z)) -> app#(app(*(), x), y), app#(app(*(), x), app(app(+(), y), z)) -> app#(app(+(), app(app(*(), x), y)), app(app(*(), x), z)))
    (app#(app(filter(), f), app(app(cons(), x), xs)) -> app#(f, x), app#(app(filter(), f), app(app(cons(), x), xs)) -> app#(filter2(), app(f, x)))
    (app#(app(filter(), f), app(app(cons(), x), xs)) -> app#(f, x), app#(app(filter(), f), app(app(cons(), x), xs)) -> app#(app(filter2(), app(f, x)), f))
    (app#(app(filter(), f), app(app(cons(), x), xs)) -> app#(f, x), app#(app(filter(), f), app(app(cons(), x), xs)) -> app#(app(app(filter2(), app(f, x)), f), x))
    (app#(app(filter(), f), app(app(cons(), x), xs)) -> app#(f, x), app#(app(filter(), f), app(app(cons(), x), xs)) -> app#(app(app(app(filter2(), app(f, x)), f), x), xs))
    (app#(app(filter(), f), app(app(cons(), x), xs)) -> app#(f, x), app#(app(filter(), f), app(app(cons(), x), xs)) -> app#(f, x))
    (app#(app(filter(), f), app(app(cons(), x), xs)) -> app#(f, x), app#(app(map(), f), app(app(cons(), x), xs)) -> app#(cons(), app(f, x)))
    (app#(app(filter(), f), app(app(cons(), x), xs)) -> app#(f, x), app#(app(map(), f), app(app(cons(), x), xs)) -> app#(app(cons(), app(f, x)), app(app(map(), f), xs)))
    (app#(app(filter(), f), app(app(cons(), x), xs)) -> app#(f, x), app#(app(map(), f), app(app(cons(), x), xs)) -> app#(app(map(), f), xs))
    (app#(app(filter(), f), app(app(cons(), x), xs)) -> app#(f, x), app#(app(map(), f), app(app(cons(), x), xs)) -> app#(f, x))
    (app#(app(filter(), f), app(app(cons(), x), xs)) -> app#(f, x), app#(app(*(), app(app(*(), x), y)), z) -> app#(*(), y))
    (app#(app(filter(), f), app(app(cons(), x), xs)) -> app#(f, x), app#(app(*(), app(app(*(), x), y)), z) -> app#(app(*(), y), z))
    (app#(app(filter(), f), app(app(cons(), x), xs)) -> app#(f, x), app#(app(*(), app(app(*(), x), y)), z) -> app#(app(*(), x), app(app(*(), y), z)))
    (app#(app(filter(), f), app(app(cons(), x), xs)) -> app#(f, x), app#(app(*(), app(app(+(), y), z)), x) -> app#(*(), x))
    (app#(app(filter(), f), app(app(cons(), x), xs)) -> app#(f, x), app#(app(*(), app(app(+(), y), z)), x) -> app#(+(), app(app(*(), x), y)))
    (app#(app(filter(), f), app(app(cons(), x), xs)) -> app#(f, x), app#(app(*(), app(app(+(), y), z)), x) -> app#(app(*(), x), z))
    (app#(app(filter(), f), app(app(cons(), x), xs)) -> app#(f, x), app#(app(*(), app(app(+(), y), z)), x) -> app#(app(*(), x), y))
    (app#(app(filter(), f), app(app(cons(), x), xs)) -> app#(f, x), app#(app(*(), app(app(+(), y), z)), x) -> app#(app(+(), app(app(*(), x), y)), app(app(*(), x), z)))
    (app#(app(filter(), f), app(app(cons(), x), xs)) -> app#(f, x), app#(app(*(), x), app(app(+(), y), z)) -> app#(+(), app(app(*(), x), y)))
    (app#(app(filter(), f), app(app(cons(), x), xs)) -> app#(f, x), app#(app(*(), x), app(app(+(), y), z)) -> app#(app(*(), x), z))
    (app#(app(filter(), f), app(app(cons(), x), xs)) -> app#(f, x), app#(app(*(), x), app(app(+(), y), z)) -> app#(app(*(), x), y))
    (app#(app(filter(), f), app(app(cons(), x), xs)) -> app#(f, x), app#(app(*(), x), app(app(+(), y), z)) -> app#(app(+(), app(app(*(), x), y)), app(app(*(), x), z)))
    (app#(app(filter(), f), app(app(cons(), x), xs)) -> app#(f, x), app#(app(+(), app(app(+(), x), y)), z) -> app#(+(), y))
    (app#(app(filter(), f), app(app(cons(), x), xs)) -> app#(f, x), app#(app(+(), app(app(+(), x), y)), z) -> app#(app(+(), y), z))
    (app#(app(filter(), f), app(app(cons(), x), xs)) -> app#(f, x), app#(app(+(), app(app(+(), x), y)), z) -> app#(app(+(), x), app(app(+(), y), z)))
    (app#(app(filter(), f), app(app(cons(), x), xs)) -> app#(f, x), app#(app(app(app(filter2(), false()), f), x), xs) -> app#(filter(), f))
    (app#(app(filter(), f), app(app(cons(), x), xs)) -> app#(f, x), app#(app(app(app(filter2(), false()), f), x), xs) -> app#(app(filter(), f), xs))
    (app#(app(filter(), f), app(app(cons(), x), xs)) -> app#(f, x), app#(app(app(app(filter2(), true()), f), x), xs) -> app#(filter(), f))
    (app#(app(filter(), f), app(app(cons(), x), xs)) -> app#(f, x), app#(app(app(app(filter2(), true()), f), x), xs) -> app#(cons(), x))
    (app#(app(filter(), f), app(app(cons(), x), xs)) -> app#(f, x), app#(app(app(app(filter2(), true()), f), x), xs) -> app#(app(filter(), f), xs))
    (app#(app(filter(), f), app(app(cons(), x), xs)) -> app#(f, x), app#(app(app(app(filter2(), true()), f), x), xs) -> app#(app(cons(), x), app(app(filter(), f), xs)))
    (app#(app(map(), f), app(app(cons(), x), xs)) -> app#(f, x), app#(app(app(app(filter2(), true()), f), x), xs) -> app#(app(cons(), x), app(app(filter(), f), xs)))
    (app#(app(map(), f), app(app(cons(), x), xs)) -> app#(f, x), app#(app(app(app(filter2(), true()), f), x), xs) -> app#(app(filter(), f), xs))
    (app#(app(map(), f), app(app(cons(), x), xs)) -> app#(f, x), app#(app(app(app(filter2(), true()), f), x), xs) -> app#(cons(), x))
    (app#(app(map(), f), app(app(cons(), x), xs)) -> app#(f, x), app#(app(app(app(filter2(), true()), f), x), xs) -> app#(filter(), f))
    (app#(app(map(), f), app(app(cons(), x), xs)) -> app#(f, x), app#(app(app(app(filter2(), false()), f), x), xs) -> app#(app(filter(), f), xs))
    (app#(app(map(), f), app(app(cons(), x), xs)) -> app#(f, x), app#(app(app(app(filter2(), false()), f), x), xs) -> app#(filter(), f))
    (app#(app(map(), f), app(app(cons(), x), xs)) -> app#(f, x), app#(app(+(), app(app(+(), x), y)), z) -> app#(app(+(), x), app(app(+(), y), z)))
    (app#(app(map(), f), app(app(cons(), x), xs)) -> app#(f, x), app#(app(+(), app(app(+(), x), y)), z) -> app#(app(+(), y), z))
    (app#(app(map(), f), app(app(cons(), x), xs)) -> app#(f, x), app#(app(+(), app(app(+(), x), y)), z) -> app#(+(), y))
    (app#(app(map(), f), app(app(cons(), x), xs)) -> app#(f, x), app#(app(*(), x), app(app(+(), y), z)) -> app#(app(+(), app(app(*(), x), y)), app(app(*(), x), z)))
    (app#(app(map(), f), app(app(cons(), x), xs)) -> app#(f, x), app#(app(*(), x), app(app(+(), y), z)) -> app#(app(*(), x), y))
    (app#(app(map(), f), app(app(cons(), x), xs)) -> app#(f, x), app#(app(*(), x), app(app(+(), y), z)) -> app#(app(*(), x), z))
    (app#(app(map(), f), app(app(cons(), x), xs)) -> app#(f, x), app#(app(*(), x), app(app(+(), y), z)) -> app#(+(), app(app(*(), x), y)))
    (app#(app(map(), f), app(app(cons(), x), xs)) -> app#(f, x), app#(app(*(), app(app(+(), y), z)), x) -> app#(app(+(), app(app(*(), x), y)), app(app(*(), x), z)))
    (app#(app(map(), f), app(app(cons(), x), xs)) -> app#(f, x), app#(app(*(), app(app(+(), y), z)), x) -> app#(app(*(), x), y))
    (app#(app(map(), f), app(app(cons(), x), xs)) -> app#(f, x), app#(app(*(), app(app(+(), y), z)), x) -> app#(app(*(), x), z))
    (app#(app(map(), f), app(app(cons(), x), xs)) -> app#(f, x), app#(app(*(), app(app(+(), y), z)), x) -> app#(+(), app(app(*(), x), y)))
    (app#(app(map(), f), app(app(cons(), x), xs)) -> app#(f, x), app#(app(*(), app(app(+(), y), z)), x) -> app#(*(), x))
    (app#(app(map(), f), app(app(cons(), x), xs)) -> app#(f, x), app#(app(*(), app(app(*(), x), y)), z) -> app#(app(*(), x), app(app(*(), y), z)))
    (app#(app(map(), f), app(app(cons(), x), xs)) -> app#(f, x), app#(app(*(), app(app(*(), x), y)), z) -> app#(app(*(), y), z))
    (app#(app(map(), f), app(app(cons(), x), xs)) -> app#(f, x), app#(app(*(), app(app(*(), x), y)), z) -> app#(*(), y))
    (app#(app(map(), f), app(app(cons(), x), xs)) -> app#(f, x), app#(app(map(), f), app(app(cons(), x), xs)) -> app#(f, x))
    (app#(app(map(), f), app(app(cons(), x), xs)) -> app#(f, x), app#(app(map(), f), app(app(cons(), x), xs)) -> app#(app(map(), f), xs))
    (app#(app(map(), f), app(app(cons(), x), xs)) -> app#(f, x), app#(app(map(), f), app(app(cons(), x), xs)) -> app#(app(cons(), app(f, x)), app(app(map(), f), xs)))
    (app#(app(map(), f), app(app(cons(), x), xs)) -> app#(f, x), app#(app(map(), f), app(app(cons(), x), xs)) -> app#(cons(), app(f, x)))
    (app#(app(map(), f), app(app(cons(), x), xs)) -> app#(f, x), app#(app(filter(), f), app(app(cons(), x), xs)) -> app#(f, x))
    (app#(app(map(), f), app(app(cons(), x), xs)) -> app#(f, x), app#(app(filter(), f), app(app(cons(), x), xs)) -> app#(app(app(app(filter2(), app(f, x)), f), x), xs))
    (app#(app(map(), f), app(app(cons(), x), xs)) -> app#(f, x), app#(app(filter(), f), app(app(cons(), x), xs)) -> app#(app(app(filter2(), app(f, x)), f), x))
    (app#(app(map(), f), app(app(cons(), x), xs)) -> app#(f, x), app#(app(filter(), f), app(app(cons(), x), xs)) -> app#(app(filter2(), app(f, x)), f))
    (app#(app(map(), f), app(app(cons(), x), xs)) -> app#(f, x), app#(app(filter(), f), app(app(cons(), x), xs)) -> app#(filter2(), app(f, x)))
    (app#(app(*(), app(app(+(), y), z)), x) -> app#(app(*(), x), y), app#(app(*(), x), app(app(+(), y), z)) -> app#(app(+(), app(app(*(), x), y)), app(app(*(), x), z)))
    (app#(app(*(), app(app(+(), y), z)), x) -> app#(app(*(), x), y), app#(app(*(), x), app(app(+(), y), z)) -> app#(app(*(), x), y))
    (app#(app(*(), app(app(+(), y), z)), x) -> app#(app(*(), x), y), app#(app(*(), x), app(app(+(), y), z)) -> app#(app(*(), x), z))
    (app#(app(*(), app(app(+(), y), z)), x) -> app#(app(*(), x), y), app#(app(*(), x), app(app(+(), y), z)) -> app#(+(), app(app(*(), x), y)))
    (app#(app(*(), app(app(+(), y), z)), x) -> app#(app(*(), x), y), app#(app(*(), app(app(+(), y), z)), x) -> app#(app(+(), app(app(*(), x), y)), app(app(*(), x), z)))
    (app#(app(*(), app(app(+(), y), z)), x) -> app#(app(*(), x), y), app#(app(*(), app(app(+(), y), z)), x) -> app#(app(*(), x), y))
    (app#(app(*(), app(app(+(), y), z)), x) -> app#(app(*(), x), y), app#(app(*(), app(app(+(), y), z)), x) -> app#(app(*(), x), z))
    (app#(app(*(), app(app(+(), y), z)), x) -> app#(app(*(), x), y), app#(app(*(), app(app(+(), y), z)), x) -> app#(+(), app(app(*(), x), y)))
    (app#(app(*(), app(app(+(), y), z)), x) -> app#(app(*(), x), y), app#(app(*(), app(app(+(), y), z)), x) -> app#(*(), x))
    (app#(app(*(), app(app(+(), y), z)), x) -> app#(app(*(), x), y), app#(app(*(), app(app(*(), x), y)), z) -> app#(app(*(), x), app(app(*(), y), z)))
    (app#(app(*(), app(app(+(), y), z)), x) -> app#(app(*(), x), y), app#(app(*(), app(app(*(), x), y)), z) -> app#(app(*(), y), z))
    (app#(app(*(), app(app(+(), y), z)), x) -> app#(app(*(), x), y), app#(app(*(), app(app(*(), x), y)), z) -> app#(*(), y))
    (app#(app(*(), app(app(*(), x), y)), z) -> app#(app(*(), y), z), app#(app(*(), x), app(app(+(), y), z)) -> app#(app(+(), app(app(*(), x), y)), app(app(*(), x), z)))
    (app#(app(*(), app(app(*(), x), y)), z) -> app#(app(*(), y), z), app#(app(*(), x), app(app(+(), y), z)) -> app#(app(*(), x), y))
    (app#(app(*(), app(app(*(), x), y)), z) -> app#(app(*(), y), z), app#(app(*(), x), app(app(+(), y), z)) -> app#(app(*(), x), z))
    (app#(app(*(), app(app(*(), x), y)), z) -> app#(app(*(), y), z), app#(app(*(), x), app(app(+(), y), z)) -> app#(+(), app(app(*(), x), y)))
    (app#(app(*(), app(app(*(), x), y)), z) -> app#(app(*(), y), z), app#(app(*(), app(app(+(), y), z)), x) -> app#(app(+(), app(app(*(), x), y)), app(app(*(), x), z)))
    (app#(app(*(), app(app(*(), x), y)), z) -> app#(app(*(), y), z), app#(app(*(), app(app(+(), y), z)), x) -> app#(app(*(), x), y))
    (app#(app(*(), app(app(*(), x), y)), z) -> app#(app(*(), y), z), app#(app(*(), app(app(+(), y), z)), x) -> app#(app(*(), x), z))
    (app#(app(*(), app(app(*(), x), y)), z) -> app#(app(*(), y), z), app#(app(*(), app(app(+(), y), z)), x) -> app#(+(), app(app(*(), x), y)))
    (app#(app(*(), app(app(*(), x), y)), z) -> app#(app(*(), y), z), app#(app(*(), app(app(+(), y), z)), x) -> app#(*(), x))
    (app#(app(*(), app(app(*(), x), y)), z) -> app#(app(*(), y), z), app#(app(*(), app(app(*(), x), y)), z) -> app#(app(*(), x), app(app(*(), y), z)))
    (app#(app(*(), app(app(*(), x), y)), z) -> app#(app(*(), y), z), app#(app(*(), app(app(*(), x), y)), z) -> app#(app(*(), y), z))
    (app#(app(*(), app(app(*(), x), y)), z) -> app#(app(*(), y), z), app#(app(*(), app(app(*(), x), y)), z) -> app#(*(), y))
    (app#(app(*(), x), app(app(+(), y), z)) -> app#(app(*(), x), z), app#(app(*(), x), app(app(+(), y), z)) -> app#(app(+(), app(app(*(), x), y)), app(app(*(), x), z)))
    (app#(app(*(), x), app(app(+(), y), z)) -> app#(app(*(), x), z), app#(app(*(), x), app(app(+(), y), z)) -> app#(app(*(), x), y))
    (app#(app(*(), x), app(app(+(), y), z)) -> app#(app(*(), x), z), app#(app(*(), x), app(app(+(), y), z)) -> app#(app(*(), x), z))
    (app#(app(*(), x), app(app(+(), y), z)) -> app#(app(*(), x), z), app#(app(*(), x), app(app(+(), y), z)) -> app#(+(), app(app(*(), x), y)))
    (app#(app(*(), x), app(app(+(), y), z)) -> app#(app(*(), x), z), app#(app(*(), app(app(+(), y), z)), x) -> app#(app(+(), app(app(*(), x), y)), app(app(*(), x), z)))
    (app#(app(*(), x), app(app(+(), y), z)) -> app#(app(*(), x), z), app#(app(*(), app(app(+(), y), z)), x) -> app#(app(*(), x), y))
    (app#(app(*(), x), app(app(+(), y), z)) -> app#(app(*(), x), z), app#(app(*(), app(app(+(), y), z)), x) -> app#(app(*(), x), z))
    (app#(app(*(), x), app(app(+(), y), z)) -> app#(app(*(), x), z), app#(app(*(), app(app(+(), y), z)), x) -> app#(+(), app(app(*(), x), y)))
    (app#(app(*(), x), app(app(+(), y), z)) -> app#(app(*(), x), z), app#(app(*(), app(app(+(), y), z)), x) -> app#(*(), x))
    (app#(app(*(), x), app(app(+(), y), z)) -> app#(app(*(), x), z), app#(app(*(), app(app(*(), x), y)), z) -> app#(app(*(), x), app(app(*(), y), z)))
    (app#(app(*(), x), app(app(+(), y), z)) -> app#(app(*(), x), z), app#(app(*(), app(app(*(), x), y)), z) -> app#(app(*(), y), z))
    (app#(app(*(), x), app(app(+(), y), z)) -> app#(app(*(), x), z), app#(app(*(), app(app(*(), x), y)), z) -> app#(*(), y))
    (app#(app(map(), f), app(app(cons(), x), xs)) -> app#(app(map(), f), xs), app#(app(map(), f), app(app(cons(), x), xs)) -> app#(f, x))
    (app#(app(map(), f), app(app(cons(), x), xs)) -> app#(app(map(), f), xs), app#(app(map(), f), app(app(cons(), x), xs)) -> app#(app(map(), f), xs))
    (app#(app(map(), f), app(app(cons(), x), xs)) -> app#(app(map(), f), xs), app#(app(map(), f), app(app(cons(), x), xs)) -> app#(app(cons(), app(f, x)), app(app(map(), f), xs)))
    (app#(app(map(), f), app(app(cons(), x), xs)) -> app#(app(map(), f), xs), app#(app(map(), f), app(app(cons(), x), xs)) -> app#(cons(), app(f, x)))
    (app#(app(app(app(filter2(), true()), f), x), xs) -> app#(app(filter(), f), xs), app#(app(filter(), f), app(app(cons(), x), xs)) -> app#(f, x))
    (app#(app(app(app(filter2(), true()), f), x), xs) -> app#(app(filter(), f), xs), app#(app(filter(), f), app(app(cons(), x), xs)) -> app#(app(app(app(filter2(), app(f, x)), f), x), xs))
    (app#(app(app(app(filter2(), true()), f), x), xs) -> app#(app(filter(), f), xs), app#(app(filter(), f), app(app(cons(), x), xs)) -> app#(app(app(filter2(), app(f, x)), f), x))
    (app#(app(app(app(filter2(), true()), f), x), xs) -> app#(app(filter(), f), xs), app#(app(filter(), f), app(app(cons(), x), xs)) -> app#(app(filter2(), app(f, x)), f))
    (app#(app(app(app(filter2(), true()), f), x), xs) -> app#(app(filter(), f), xs), app#(app(filter(), f), app(app(cons(), x), xs)) -> app#(filter2(), app(f, x)))
    (app#(app(*(), app(app(*(), x), y)), z) -> app#(app(*(), x), app(app(*(), y), z)), app#(app(*(), x), app(app(+(), y), z)) -> app#(app(+(), app(app(*(), x), y)), app(app(*(), x), z)))
    (app#(app(*(), app(app(*(), x), y)), z) -> app#(app(*(), x), app(app(*(), y), z)), app#(app(*(), x), app(app(+(), y), z)) -> app#(app(*(), x), y))
    (app#(app(*(), app(app(*(), x), y)), z) -> app#(app(*(), x), app(app(*(), y), z)), app#(app(*(), x), app(app(+(), y), z)) -> app#(app(*(), x), z))
    (app#(app(*(), app(app(*(), x), y)), z) -> app#(app(*(), x), app(app(*(), y), z)), app#(app(*(), x), app(app(+(), y), z)) -> app#(+(), app(app(*(), x), y)))
    (app#(app(*(), app(app(*(), x), y)), z) -> app#(app(*(), x), app(app(*(), y), z)), app#(app(*(), app(app(+(), y), z)), x) -> app#(app(+(), app(app(*(), x), y)), app(app(*(), x), z)))
    (app#(app(*(), app(app(*(), x), y)), z) -> app#(app(*(), x), app(app(*(), y), z)), app#(app(*(), app(app(+(), y), z)), x) -> app#(app(*(), x), y))
    (app#(app(*(), app(app(*(), x), y)), z) -> app#(app(*(), x), app(app(*(), y), z)), app#(app(*(), app(app(+(), y), z)), x) -> app#(app(*(), x), z))
    (app#(app(*(), app(app(*(), x), y)), z) -> app#(app(*(), x), app(app(*(), y), z)), app#(app(*(), app(app(+(), y), z)), x) -> app#(+(), app(app(*(), x), y)))
    (app#(app(*(), app(app(*(), x), y)), z) -> app#(app(*(), x), app(app(*(), y), z)), app#(app(*(), app(app(+(), y), z)), x) -> app#(*(), x))
    (app#(app(*(), app(app(*(), x), y)), z) -> app#(app(*(), x), app(app(*(), y), z)), app#(app(*(), app(app(*(), x), y)), z) -> app#(app(*(), x), app(app(*(), y), z)))
    (app#(app(*(), app(app(*(), x), y)), z) -> app#(app(*(), x), app(app(*(), y), z)), app#(app(*(), app(app(*(), x), y)), z) -> app#(app(*(), y), z))
    (app#(app(*(), app(app(*(), x), y)), z) -> app#(app(*(), x), app(app(*(), y), z)), app#(app(*(), app(app(*(), x), y)), z) -> app#(*(), y))
    (app#(app(*(), app(app(+(), y), z)), x) -> app#(app(+(), app(app(*(), x), y)), app(app(*(), x), z)), app#(app(+(), app(app(+(), x), y)), z) -> app#(app(+(), x), app(app(+(), y), z)))
    (app#(app(*(), app(app(+(), y), z)), x) -> app#(app(+(), app(app(*(), x), y)), app(app(*(), x), z)), app#(app(+(), app(app(+(), x), y)), z) -> app#(app(+(), y), z))
    (app#(app(*(), app(app(+(), y), z)), x) -> app#(app(+(), app(app(*(), x), y)), app(app(*(), x), z)), app#(app(+(), app(app(+(), x), y)), z) -> app#(+(), y))
    (app#(app(*(), x), app(app(+(), y), z)) -> app#(app(+(), app(app(*(), x), y)), app(app(*(), x), z)), app#(app(+(), app(app(+(), x), y)), z) -> app#(app(+(), x), app(app(+(), y), z)))
    (app#(app(*(), x), app(app(+(), y), z)) -> app#(app(+(), app(app(*(), x), y)), app(app(*(), x), z)), app#(app(+(), app(app(+(), x), y)), z) -> app#(app(+(), y), z))
    (app#(app(*(), x), app(app(+(), y), z)) -> app#(app(+(), app(app(*(), x), y)), app(app(*(), x), z)), app#(app(+(), app(app(+(), x), y)), z) -> app#(+(), y))
   }
   STATUS:
    arrows: 0.824444
    SCCS (3):
     Scc:
      { app#(app(app(app(filter2(), true()), f), x), xs) -> app#(app(filter(), f), xs),
       app#(app(app(app(filter2(), false()), f), x), xs) -> app#(app(filter(), f), xs),
            app#(app(map(), f), app(app(cons(), x), xs)) -> app#(f, x),
            app#(app(map(), f), app(app(cons(), x), xs)) -> app#(app(map(), f), xs),
         app#(app(filter(), f), app(app(cons(), x), xs)) -> app#(f, x)}
     Scc:
      {app#(app(*(), x), app(app(+(), y), z)) -> app#(app(*(), x), y),
       app#(app(*(), x), app(app(+(), y), z)) -> app#(app(*(), x), z),
       app#(app(*(), app(app(+(), y), z)), x) -> app#(app(*(), x), y),
       app#(app(*(), app(app(+(), y), z)), x) -> app#(app(*(), x), z),
       app#(app(*(), app(app(*(), x), y)), z) -> app#(app(*(), x), app(app(*(), y), z)),
       app#(app(*(), app(app(*(), x), y)), z) -> app#(app(*(), y), z)}
     Scc:
      {app#(app(+(), app(app(+(), x), y)), z) -> app#(app(+(), x), app(app(+(), y), z)),
       app#(app(+(), app(app(+(), x), y)), z) -> app#(app(+(), y), z)}
     
     SCC (5):
      Strict:
       { app#(app(app(app(filter2(), true()), f), x), xs) -> app#(app(filter(), f), xs),
        app#(app(app(app(filter2(), false()), f), x), xs) -> app#(app(filter(), f), xs),
             app#(app(map(), f), app(app(cons(), x), xs)) -> app#(f, x),
             app#(app(map(), f), app(app(cons(), x), xs)) -> app#(app(map(), f), xs),
          app#(app(filter(), f), app(app(cons(), x), xs)) -> app#(f, x)}
      Weak:
      { app(app(app(app(filter2(), true()), f), x), xs) -> app(app(cons(), x), app(app(filter(), f), xs)),
       app(app(app(app(filter2(), false()), f), x), xs) -> app(app(filter(), f), xs),
                  app(app(+(), app(app(+(), x), y)), z) -> app(app(+(), x), app(app(+(), y), z)),
                  app(app(*(), x), app(app(+(), y), z)) -> app(app(+(), app(app(*(), x), y)), app(app(*(), x), z)),
                  app(app(*(), app(app(+(), y), z)), x) -> app(app(+(), app(app(*(), x), y)), app(app(*(), x), z)),
                  app(app(*(), app(app(*(), x), y)), z) -> app(app(*(), x), app(app(*(), y), z)),
            app(app(map(), f), app(app(cons(), x), xs)) -> app(app(cons(), app(f, x)), app(app(map(), f), xs)),
                              app(app(map(), f), nil()) -> nil(),
         app(app(filter(), f), app(app(cons(), x), xs)) -> app(app(app(app(filter2(), app(f, x)), f), x), xs),
                           app(app(filter(), f), nil()) -> nil()}
      Open
     
     
     
     
     
     
     
     
     
     SCC (6):
      Strict:
       {app#(app(*(), x), app(app(+(), y), z)) -> app#(app(*(), x), y),
        app#(app(*(), x), app(app(+(), y), z)) -> app#(app(*(), x), z),
        app#(app(*(), app(app(+(), y), z)), x) -> app#(app(*(), x), y),
        app#(app(*(), app(app(+(), y), z)), x) -> app#(app(*(), x), z),
        app#(app(*(), app(app(*(), x), y)), z) -> app#(app(*(), x), app(app(*(), y), z)),
        app#(app(*(), app(app(*(), x), y)), z) -> app#(app(*(), y), z)}
      Weak:
      { app(app(app(app(filter2(), true()), f), x), xs) -> app(app(cons(), x), app(app(filter(), f), xs)),
       app(app(app(app(filter2(), false()), f), x), xs) -> app(app(filter(), f), xs),
                  app(app(+(), app(app(+(), x), y)), z) -> app(app(+(), x), app(app(+(), y), z)),
                  app(app(*(), x), app(app(+(), y), z)) -> app(app(+(), app(app(*(), x), y)), app(app(*(), x), z)),
                  app(app(*(), app(app(+(), y), z)), x) -> app(app(+(), app(app(*(), x), y)), app(app(*(), x), z)),
                  app(app(*(), app(app(*(), x), y)), z) -> app(app(*(), x), app(app(*(), y), z)),
            app(app(map(), f), app(app(cons(), x), xs)) -> app(app(cons(), app(f, x)), app(app(map(), f), xs)),
                              app(app(map(), f), nil()) -> nil(),
         app(app(filter(), f), app(app(cons(), x), xs)) -> app(app(app(app(filter2(), app(f, x)), f), x), xs),
                           app(app(filter(), f), nil()) -> nil()}
      Open
     
     
     
     
     
     
     SCC (2):
      Strict:
       {app#(app(+(), app(app(+(), x), y)), z) -> app#(app(+(), x), app(app(+(), y), z)),
        app#(app(+(), app(app(+(), x), y)), z) -> app#(app(+(), y), z)}
      Weak:
      { app(app(app(app(filter2(), true()), f), x), xs) -> app(app(cons(), x), app(app(filter(), f), xs)),
       app(app(app(app(filter2(), false()), f), x), xs) -> app(app(filter(), f), xs),
                  app(app(+(), app(app(+(), x), y)), z) -> app(app(+(), x), app(app(+(), y), z)),
                  app(app(*(), x), app(app(+(), y), z)) -> app(app(+(), app(app(*(), x), y)), app(app(*(), x), z)),
                  app(app(*(), app(app(+(), y), z)), x) -> app(app(+(), app(app(*(), x), y)), app(app(*(), x), z)),
                  app(app(*(), app(app(*(), x), y)), z) -> app(app(*(), x), app(app(*(), y), z)),
            app(app(map(), f), app(app(cons(), x), xs)) -> app(app(cons(), app(f, x)), app(app(map(), f), xs)),
                              app(app(map(), f), nil()) -> nil(),
         app(app(filter(), f), app(app(cons(), x), xs)) -> app(app(app(app(filter2(), app(f, x)), f), x), xs),
                           app(app(filter(), f), nil()) -> nil()}
      Open