MAYBE
Time: 0.073081
TRS:
 { app(app(app(app(filter2(), true()), fun), x), xs) -> app(app(cons(), x), app(app(filter(), fun), xs)),
  app(app(app(app(filter2(), false()), fun), x), xs) -> app(app(filter(), fun), xs),
     app(app(app(f(), x), app(c(), x)), app(c(), y)) -> app(app(app(f(), y), y), app(app(app(f(), y), x), y)),
               app(app(app(f(), app(c(), x)), x), y) -> app(c(), y),
               app(app(app(f(), app(s(), x)), y), z) -> app(app(app(f(), x), app(s(), app(c(), y))), app(c(), z)),
                                 app(app(g(), x), y) -> y,
                                 app(app(g(), x), y) -> x,
       app(app(map(), fun), app(app(cons(), x), xs)) -> app(app(cons(), app(fun, x)), app(app(map(), fun), xs)),
                         app(app(map(), fun), nil()) -> nil(),
    app(app(filter(), fun), app(app(cons(), x), xs)) -> app(app(app(app(filter2(), app(fun, x)), fun), x), xs),
                      app(app(filter(), fun), nil()) -> nil()}
 DP:
  DP:
   { app#(app(app(app(filter2(), true()), fun), x), xs) -> app#(app(cons(), x), app(app(filter(), fun), xs)),
     app#(app(app(app(filter2(), true()), fun), x), xs) -> app#(app(filter(), fun), xs),
     app#(app(app(app(filter2(), true()), fun), x), xs) -> app#(cons(), x),
     app#(app(app(app(filter2(), true()), fun), x), xs) -> app#(filter(), fun),
    app#(app(app(app(filter2(), false()), fun), x), xs) -> app#(app(filter(), fun), xs),
    app#(app(app(app(filter2(), false()), fun), x), xs) -> app#(filter(), fun),
       app#(app(app(f(), x), app(c(), x)), app(c(), y)) -> app#(app(app(f(), y), y), app(app(app(f(), y), x), y)),
       app#(app(app(f(), x), app(c(), x)), app(c(), y)) -> app#(app(app(f(), y), x), y),
       app#(app(app(f(), x), app(c(), x)), app(c(), y)) -> app#(app(f(), y), y),
       app#(app(app(f(), x), app(c(), x)), app(c(), y)) -> app#(app(f(), y), x),
       app#(app(app(f(), x), app(c(), x)), app(c(), y)) -> app#(f(), y),
                 app#(app(app(f(), app(c(), x)), x), y) -> app#(c(), y),
                 app#(app(app(f(), app(s(), x)), y), z) -> app#(app(app(f(), x), app(s(), app(c(), y))), app(c(), z)),
                 app#(app(app(f(), app(s(), x)), y), z) -> app#(app(f(), x), app(s(), app(c(), y))),
                 app#(app(app(f(), app(s(), x)), y), z) -> app#(f(), x),
                 app#(app(app(f(), app(s(), x)), y), z) -> app#(c(), y),
                 app#(app(app(f(), app(s(), x)), y), z) -> app#(c(), z),
                 app#(app(app(f(), app(s(), x)), y), z) -> app#(s(), app(c(), y)),
         app#(app(map(), fun), app(app(cons(), x), xs)) -> app#(fun, x),
         app#(app(map(), fun), app(app(cons(), x), xs)) -> app#(app(map(), fun), xs),
         app#(app(map(), fun), app(app(cons(), x), xs)) -> app#(app(cons(), app(fun, x)), app(app(map(), fun), xs)),
         app#(app(map(), fun), app(app(cons(), x), xs)) -> app#(cons(), app(fun, x)),
      app#(app(filter(), fun), app(app(cons(), x), xs)) -> app#(fun, x),
      app#(app(filter(), fun), app(app(cons(), x), xs)) -> app#(app(app(app(filter2(), app(fun, x)), fun), x), xs),
      app#(app(filter(), fun), app(app(cons(), x), xs)) -> app#(app(app(filter2(), app(fun, x)), fun), x),
      app#(app(filter(), fun), app(app(cons(), x), xs)) -> app#(app(filter2(), app(fun, x)), fun),
      app#(app(filter(), fun), app(app(cons(), x), xs)) -> app#(filter2(), app(fun, x))}
  TRS:
  { app(app(app(app(filter2(), true()), fun), x), xs) -> app(app(cons(), x), app(app(filter(), fun), xs)),
   app(app(app(app(filter2(), false()), fun), x), xs) -> app(app(filter(), fun), xs),
      app(app(app(f(), x), app(c(), x)), app(c(), y)) -> app(app(app(f(), y), y), app(app(app(f(), y), x), y)),
                app(app(app(f(), app(c(), x)), x), y) -> app(c(), y),
                app(app(app(f(), app(s(), x)), y), z) -> app(app(app(f(), x), app(s(), app(c(), y))), app(c(), z)),
                                  app(app(g(), x), y) -> y,
                                  app(app(g(), x), y) -> x,
        app(app(map(), fun), app(app(cons(), x), xs)) -> app(app(cons(), app(fun, x)), app(app(map(), fun), xs)),
                          app(app(map(), fun), nil()) -> nil(),
     app(app(filter(), fun), app(app(cons(), x), xs)) -> app(app(app(app(filter2(), app(fun, x)), fun), x), xs),
                       app(app(filter(), fun), nil()) -> nil()}
  UR:
   { app(app(app(app(filter2(), true()), fun), x), xs) -> app(app(cons(), x), app(app(filter(), fun), xs)),
    app(app(app(app(filter2(), false()), fun), x), xs) -> app(app(filter(), fun), xs),
       app(app(app(f(), x), app(c(), x)), app(c(), y)) -> app(app(app(f(), y), y), app(app(app(f(), y), x), y)),
                 app(app(app(f(), app(c(), x)), x), y) -> app(c(), y),
                 app(app(app(f(), app(s(), x)), y), z) -> app(app(app(f(), x), app(s(), app(c(), y))), app(c(), z)),
                                   app(app(g(), x), y) -> y,
                                   app(app(g(), x), y) -> x,
         app(app(map(), fun), app(app(cons(), x), xs)) -> app(app(cons(), app(fun, x)), app(app(map(), fun), xs)),
                           app(app(map(), fun), nil()) -> nil(),
      app(app(filter(), fun), app(app(cons(), x), xs)) -> app(app(app(app(filter2(), app(fun, x)), fun), x), xs),
                        app(app(filter(), fun), nil()) -> nil()}
   EDG:
    {
     (app#(app(app(app(filter2(), false()), fun), x), xs) -> app#(app(filter(), fun), xs), app#(app(filter(), fun), app(app(cons(), x), xs)) -> app#(filter2(), app(fun, x)))
     (app#(app(app(app(filter2(), false()), fun), x), xs) -> app#(app(filter(), fun), xs), app#(app(filter(), fun), app(app(cons(), x), xs)) -> app#(app(filter2(), app(fun, x)), fun))
     (app#(app(app(app(filter2(), false()), fun), x), xs) -> app#(app(filter(), fun), xs), app#(app(filter(), fun), app(app(cons(), x), xs)) -> app#(app(app(filter2(), app(fun, x)), fun), x))
     (app#(app(app(app(filter2(), false()), fun), x), xs) -> app#(app(filter(), fun), xs), app#(app(filter(), fun), app(app(cons(), x), xs)) -> app#(app(app(app(filter2(), app(fun, x)), fun), x), xs))
     (app#(app(app(app(filter2(), false()), fun), x), xs) -> app#(app(filter(), fun), xs), app#(app(filter(), fun), app(app(cons(), x), xs)) -> app#(fun, x))
     (app#(app(filter(), fun), app(app(cons(), x), xs)) -> app#(app(app(app(filter2(), app(fun, x)), fun), x), xs), app#(app(app(app(filter2(), false()), fun), x), xs) -> app#(filter(), fun))
     (app#(app(filter(), fun), app(app(cons(), x), xs)) -> app#(app(app(app(filter2(), app(fun, x)), fun), x), xs), app#(app(app(app(filter2(), false()), fun), x), xs) -> app#(app(filter(), fun), xs))
     (app#(app(filter(), fun), app(app(cons(), x), xs)) -> app#(app(app(app(filter2(), app(fun, x)), fun), x), xs), app#(app(app(app(filter2(), true()), fun), x), xs) -> app#(filter(), fun))
     (app#(app(filter(), fun), app(app(cons(), x), xs)) -> app#(app(app(app(filter2(), app(fun, x)), fun), x), xs), app#(app(app(app(filter2(), true()), fun), x), xs) -> app#(cons(), x))
     (app#(app(filter(), fun), app(app(cons(), x), xs)) -> app#(app(app(app(filter2(), app(fun, x)), fun), x), xs), app#(app(app(app(filter2(), true()), fun), x), xs) -> app#(app(filter(), fun), xs))
     (app#(app(filter(), fun), app(app(cons(), x), xs)) -> app#(app(app(app(filter2(), app(fun, x)), fun), x), xs), app#(app(app(app(filter2(), true()), fun), x), xs) -> app#(app(cons(), x), app(app(filter(), fun), xs)))
     (app#(app(filter(), fun), app(app(cons(), x), xs)) -> app#(fun, x), app#(app(filter(), fun), app(app(cons(), x), xs)) -> app#(filter2(), app(fun, x)))
     (app#(app(filter(), fun), app(app(cons(), x), xs)) -> app#(fun, x), app#(app(filter(), fun), app(app(cons(), x), xs)) -> app#(app(filter2(), app(fun, x)), fun))
     (app#(app(filter(), fun), app(app(cons(), x), xs)) -> app#(fun, x), app#(app(filter(), fun), app(app(cons(), x), xs)) -> app#(app(app(filter2(), app(fun, x)), fun), x))
     (app#(app(filter(), fun), app(app(cons(), x), xs)) -> app#(fun, x), app#(app(filter(), fun), app(app(cons(), x), xs)) -> app#(app(app(app(filter2(), app(fun, x)), fun), x), xs))
     (app#(app(filter(), fun), app(app(cons(), x), xs)) -> app#(fun, x), app#(app(filter(), fun), app(app(cons(), x), xs)) -> app#(fun, x))
     (app#(app(filter(), fun), app(app(cons(), x), xs)) -> app#(fun, x), app#(app(map(), fun), app(app(cons(), x), xs)) -> app#(cons(), app(fun, x)))
     (app#(app(filter(), fun), app(app(cons(), x), xs)) -> app#(fun, x), app#(app(map(), fun), app(app(cons(), x), xs)) -> app#(app(cons(), app(fun, x)), app(app(map(), fun), xs)))
     (app#(app(filter(), fun), app(app(cons(), x), xs)) -> app#(fun, x), app#(app(map(), fun), app(app(cons(), x), xs)) -> app#(app(map(), fun), xs))
     (app#(app(filter(), fun), app(app(cons(), x), xs)) -> app#(fun, x), app#(app(map(), fun), app(app(cons(), x), xs)) -> app#(fun, x))
     (app#(app(filter(), fun), app(app(cons(), x), xs)) -> app#(fun, x), app#(app(app(f(), app(s(), x)), y), z) -> app#(s(), app(c(), y)))
     (app#(app(filter(), fun), app(app(cons(), x), xs)) -> app#(fun, x), app#(app(app(f(), app(s(), x)), y), z) -> app#(c(), z))
     (app#(app(filter(), fun), app(app(cons(), x), xs)) -> app#(fun, x), app#(app(app(f(), app(s(), x)), y), z) -> app#(c(), y))
     (app#(app(filter(), fun), app(app(cons(), x), xs)) -> app#(fun, x), app#(app(app(f(), app(s(), x)), y), z) -> app#(f(), x))
     (app#(app(filter(), fun), app(app(cons(), x), xs)) -> app#(fun, x), app#(app(app(f(), app(s(), x)), y), z) -> app#(app(f(), x), app(s(), app(c(), y))))
     (app#(app(filter(), fun), app(app(cons(), x), xs)) -> app#(fun, x), app#(app(app(f(), app(s(), x)), y), z) -> app#(app(app(f(), x), app(s(), app(c(), y))), app(c(), z)))
     (app#(app(filter(), fun), app(app(cons(), x), xs)) -> app#(fun, x), app#(app(app(f(), app(c(), x)), x), y) -> app#(c(), y))
     (app#(app(filter(), fun), app(app(cons(), x), xs)) -> app#(fun, x), app#(app(app(f(), x), app(c(), x)), app(c(), y)) -> app#(f(), y))
     (app#(app(filter(), fun), app(app(cons(), x), xs)) -> app#(fun, x), app#(app(app(f(), x), app(c(), x)), app(c(), y)) -> app#(app(f(), y), x))
     (app#(app(filter(), fun), app(app(cons(), x), xs)) -> app#(fun, x), app#(app(app(f(), x), app(c(), x)), app(c(), y)) -> app#(app(f(), y), y))
     (app#(app(filter(), fun), app(app(cons(), x), xs)) -> app#(fun, x), app#(app(app(f(), x), app(c(), x)), app(c(), y)) -> app#(app(app(f(), y), x), y))
     (app#(app(filter(), fun), app(app(cons(), x), xs)) -> app#(fun, x), app#(app(app(f(), x), app(c(), x)), app(c(), y)) -> app#(app(app(f(), y), y), app(app(app(f(), y), x), y)))
     (app#(app(filter(), fun), app(app(cons(), x), xs)) -> app#(fun, x), app#(app(app(app(filter2(), false()), fun), x), xs) -> app#(filter(), fun))
     (app#(app(filter(), fun), app(app(cons(), x), xs)) -> app#(fun, x), app#(app(app(app(filter2(), false()), fun), x), xs) -> app#(app(filter(), fun), xs))
     (app#(app(filter(), fun), app(app(cons(), x), xs)) -> app#(fun, x), app#(app(app(app(filter2(), true()), fun), x), xs) -> app#(filter(), fun))
     (app#(app(filter(), fun), app(app(cons(), x), xs)) -> app#(fun, x), app#(app(app(app(filter2(), true()), fun), x), xs) -> app#(cons(), x))
     (app#(app(filter(), fun), app(app(cons(), x), xs)) -> app#(fun, x), app#(app(app(app(filter2(), true()), fun), x), xs) -> app#(app(filter(), fun), xs))
     (app#(app(filter(), fun), app(app(cons(), x), xs)) -> app#(fun, x), app#(app(app(app(filter2(), true()), fun), x), xs) -> app#(app(cons(), x), app(app(filter(), fun), xs)))
     (app#(app(app(f(), x), app(c(), x)), app(c(), y)) -> app#(app(app(f(), y), x), y), app#(app(app(f(), app(s(), x)), y), z) -> app#(s(), app(c(), y)))
     (app#(app(app(f(), x), app(c(), x)), app(c(), y)) -> app#(app(app(f(), y), x), y), app#(app(app(f(), app(s(), x)), y), z) -> app#(c(), z))
     (app#(app(app(f(), x), app(c(), x)), app(c(), y)) -> app#(app(app(f(), y), x), y), app#(app(app(f(), app(s(), x)), y), z) -> app#(c(), y))
     (app#(app(app(f(), x), app(c(), x)), app(c(), y)) -> app#(app(app(f(), y), x), y), app#(app(app(f(), app(s(), x)), y), z) -> app#(f(), x))
     (app#(app(app(f(), x), app(c(), x)), app(c(), y)) -> app#(app(app(f(), y), x), y), app#(app(app(f(), app(s(), x)), y), z) -> app#(app(f(), x), app(s(), app(c(), y))))
     (app#(app(app(f(), x), app(c(), x)), app(c(), y)) -> app#(app(app(f(), y), x), y), app#(app(app(f(), app(s(), x)), y), z) -> app#(app(app(f(), x), app(s(), app(c(), y))), app(c(), z)))
     (app#(app(app(f(), x), app(c(), x)), app(c(), y)) -> app#(app(app(f(), y), x), y), app#(app(app(f(), app(c(), x)), x), y) -> app#(c(), y))
     (app#(app(app(f(), x), app(c(), x)), app(c(), y)) -> app#(app(app(f(), y), x), y), app#(app(app(f(), x), app(c(), x)), app(c(), y)) -> app#(f(), y))
     (app#(app(app(f(), x), app(c(), x)), app(c(), y)) -> app#(app(app(f(), y), x), y), app#(app(app(f(), x), app(c(), x)), app(c(), y)) -> app#(app(f(), y), x))
     (app#(app(app(f(), x), app(c(), x)), app(c(), y)) -> app#(app(app(f(), y), x), y), app#(app(app(f(), x), app(c(), x)), app(c(), y)) -> app#(app(f(), y), y))
     (app#(app(app(f(), x), app(c(), x)), app(c(), y)) -> app#(app(app(f(), y), x), y), app#(app(app(f(), x), app(c(), x)), app(c(), y)) -> app#(app(app(f(), y), x), y))
     (app#(app(app(f(), x), app(c(), x)), app(c(), y)) -> app#(app(app(f(), y), x), y), app#(app(app(f(), x), app(c(), x)), app(c(), y)) -> app#(app(app(f(), y), y), app(app(app(f(), y), x), y)))
     (app#(app(app(f(), app(s(), x)), y), z) -> app#(app(app(f(), x), app(s(), app(c(), y))), app(c(), z)), app#(app(app(f(), app(s(), x)), y), z) -> app#(s(), app(c(), y)))
     (app#(app(app(f(), app(s(), x)), y), z) -> app#(app(app(f(), x), app(s(), app(c(), y))), app(c(), z)), app#(app(app(f(), app(s(), x)), y), z) -> app#(c(), z))
     (app#(app(app(f(), app(s(), x)), y), z) -> app#(app(app(f(), x), app(s(), app(c(), y))), app(c(), z)), app#(app(app(f(), app(s(), x)), y), z) -> app#(c(), y))
     (app#(app(app(f(), app(s(), x)), y), z) -> app#(app(app(f(), x), app(s(), app(c(), y))), app(c(), z)), app#(app(app(f(), app(s(), x)), y), z) -> app#(f(), x))
     (app#(app(app(f(), app(s(), x)), y), z) -> app#(app(app(f(), x), app(s(), app(c(), y))), app(c(), z)), app#(app(app(f(), app(s(), x)), y), z) -> app#(app(f(), x), app(s(), app(c(), y))))
     (app#(app(app(f(), app(s(), x)), y), z) -> app#(app(app(f(), x), app(s(), app(c(), y))), app(c(), z)), app#(app(app(f(), app(s(), x)), y), z) -> app#(app(app(f(), x), app(s(), app(c(), y))), app(c(), z)))
     (app#(app(app(f(), app(s(), x)), y), z) -> app#(app(app(f(), x), app(s(), app(c(), y))), app(c(), z)), app#(app(app(f(), app(c(), x)), x), y) -> app#(c(), y))
     (app#(app(app(f(), x), app(c(), x)), app(c(), y)) -> app#(app(app(f(), y), y), app(app(app(f(), y), x), y)), app#(app(app(f(), app(s(), x)), y), z) -> app#(app(app(f(), x), app(s(), app(c(), y))), app(c(), z)))
     (app#(app(app(f(), x), app(c(), x)), app(c(), y)) -> app#(app(app(f(), y), y), app(app(app(f(), y), x), y)), app#(app(app(f(), app(s(), x)), y), z) -> app#(app(f(), x), app(s(), app(c(), y))))
     (app#(app(app(f(), x), app(c(), x)), app(c(), y)) -> app#(app(app(f(), y), y), app(app(app(f(), y), x), y)), app#(app(app(f(), app(s(), x)), y), z) -> app#(f(), x))
     (app#(app(app(f(), x), app(c(), x)), app(c(), y)) -> app#(app(app(f(), y), y), app(app(app(f(), y), x), y)), app#(app(app(f(), app(s(), x)), y), z) -> app#(c(), y))
     (app#(app(app(f(), x), app(c(), x)), app(c(), y)) -> app#(app(app(f(), y), y), app(app(app(f(), y), x), y)), app#(app(app(f(), app(s(), x)), y), z) -> app#(c(), z))
     (app#(app(app(f(), x), app(c(), x)), app(c(), y)) -> app#(app(app(f(), y), y), app(app(app(f(), y), x), y)), app#(app(app(f(), app(s(), x)), y), z) -> app#(s(), app(c(), y)))
     (app#(app(map(), fun), app(app(cons(), x), xs)) -> app#(fun, x), app#(app(app(app(filter2(), true()), fun), x), xs) -> app#(app(cons(), x), app(app(filter(), fun), xs)))
     (app#(app(map(), fun), app(app(cons(), x), xs)) -> app#(fun, x), app#(app(app(app(filter2(), true()), fun), x), xs) -> app#(app(filter(), fun), xs))
     (app#(app(map(), fun), app(app(cons(), x), xs)) -> app#(fun, x), app#(app(app(app(filter2(), true()), fun), x), xs) -> app#(cons(), x))
     (app#(app(map(), fun), app(app(cons(), x), xs)) -> app#(fun, x), app#(app(app(app(filter2(), true()), fun), x), xs) -> app#(filter(), fun))
     (app#(app(map(), fun), app(app(cons(), x), xs)) -> app#(fun, x), app#(app(app(app(filter2(), false()), fun), x), xs) -> app#(app(filter(), fun), xs))
     (app#(app(map(), fun), app(app(cons(), x), xs)) -> app#(fun, x), app#(app(app(app(filter2(), false()), fun), x), xs) -> app#(filter(), fun))
     (app#(app(map(), fun), app(app(cons(), x), xs)) -> app#(fun, x), app#(app(app(f(), x), app(c(), x)), app(c(), y)) -> app#(app(app(f(), y), y), app(app(app(f(), y), x), y)))
     (app#(app(map(), fun), app(app(cons(), x), xs)) -> app#(fun, x), app#(app(app(f(), x), app(c(), x)), app(c(), y)) -> app#(app(app(f(), y), x), y))
     (app#(app(map(), fun), app(app(cons(), x), xs)) -> app#(fun, x), app#(app(app(f(), x), app(c(), x)), app(c(), y)) -> app#(app(f(), y), y))
     (app#(app(map(), fun), app(app(cons(), x), xs)) -> app#(fun, x), app#(app(app(f(), x), app(c(), x)), app(c(), y)) -> app#(app(f(), y), x))
     (app#(app(map(), fun), app(app(cons(), x), xs)) -> app#(fun, x), app#(app(app(f(), x), app(c(), x)), app(c(), y)) -> app#(f(), y))
     (app#(app(map(), fun), app(app(cons(), x), xs)) -> app#(fun, x), app#(app(app(f(), app(c(), x)), x), y) -> app#(c(), y))
     (app#(app(map(), fun), app(app(cons(), x), xs)) -> app#(fun, x), app#(app(app(f(), app(s(), x)), y), z) -> app#(app(app(f(), x), app(s(), app(c(), y))), app(c(), z)))
     (app#(app(map(), fun), app(app(cons(), x), xs)) -> app#(fun, x), app#(app(app(f(), app(s(), x)), y), z) -> app#(app(f(), x), app(s(), app(c(), y))))
     (app#(app(map(), fun), app(app(cons(), x), xs)) -> app#(fun, x), app#(app(app(f(), app(s(), x)), y), z) -> app#(f(), x))
     (app#(app(map(), fun), app(app(cons(), x), xs)) -> app#(fun, x), app#(app(app(f(), app(s(), x)), y), z) -> app#(c(), y))
     (app#(app(map(), fun), app(app(cons(), x), xs)) -> app#(fun, x), app#(app(app(f(), app(s(), x)), y), z) -> app#(c(), z))
     (app#(app(map(), fun), app(app(cons(), x), xs)) -> app#(fun, x), app#(app(app(f(), app(s(), x)), y), z) -> app#(s(), app(c(), y)))
     (app#(app(map(), fun), app(app(cons(), x), xs)) -> app#(fun, x), app#(app(map(), fun), app(app(cons(), x), xs)) -> app#(fun, x))
     (app#(app(map(), fun), app(app(cons(), x), xs)) -> app#(fun, x), app#(app(map(), fun), app(app(cons(), x), xs)) -> app#(app(map(), fun), xs))
     (app#(app(map(), fun), app(app(cons(), x), xs)) -> app#(fun, x), app#(app(map(), fun), app(app(cons(), x), xs)) -> app#(app(cons(), app(fun, x)), app(app(map(), fun), xs)))
     (app#(app(map(), fun), app(app(cons(), x), xs)) -> app#(fun, x), app#(app(map(), fun), app(app(cons(), x), xs)) -> app#(cons(), app(fun, x)))
     (app#(app(map(), fun), app(app(cons(), x), xs)) -> app#(fun, x), app#(app(filter(), fun), app(app(cons(), x), xs)) -> app#(fun, x))
     (app#(app(map(), fun), app(app(cons(), x), xs)) -> app#(fun, x), app#(app(filter(), fun), app(app(cons(), x), xs)) -> app#(app(app(app(filter2(), app(fun, x)), fun), x), xs))
     (app#(app(map(), fun), app(app(cons(), x), xs)) -> app#(fun, x), app#(app(filter(), fun), app(app(cons(), x), xs)) -> app#(app(app(filter2(), app(fun, x)), fun), x))
     (app#(app(map(), fun), app(app(cons(), x), xs)) -> app#(fun, x), app#(app(filter(), fun), app(app(cons(), x), xs)) -> app#(app(filter2(), app(fun, x)), fun))
     (app#(app(map(), fun), app(app(cons(), x), xs)) -> app#(fun, x), app#(app(filter(), fun), app(app(cons(), x), xs)) -> app#(filter2(), app(fun, x)))
     (app#(app(map(), fun), app(app(cons(), x), xs)) -> app#(app(map(), fun), xs), app#(app(map(), fun), app(app(cons(), x), xs)) -> app#(fun, x))
     (app#(app(map(), fun), app(app(cons(), x), xs)) -> app#(app(map(), fun), xs), app#(app(map(), fun), app(app(cons(), x), xs)) -> app#(app(map(), fun), xs))
     (app#(app(map(), fun), app(app(cons(), x), xs)) -> app#(app(map(), fun), xs), app#(app(map(), fun), app(app(cons(), x), xs)) -> app#(app(cons(), app(fun, x)), app(app(map(), fun), xs)))
     (app#(app(map(), fun), app(app(cons(), x), xs)) -> app#(app(map(), fun), xs), app#(app(map(), fun), app(app(cons(), x), xs)) -> app#(cons(), app(fun, x)))
     (app#(app(app(app(filter2(), true()), fun), x), xs) -> app#(app(filter(), fun), xs), app#(app(filter(), fun), app(app(cons(), x), xs)) -> app#(fun, x))
     (app#(app(app(app(filter2(), true()), fun), x), xs) -> app#(app(filter(), fun), xs), app#(app(filter(), fun), app(app(cons(), x), xs)) -> app#(app(app(app(filter2(), app(fun, x)), fun), x), xs))
     (app#(app(app(app(filter2(), true()), fun), x), xs) -> app#(app(filter(), fun), xs), app#(app(filter(), fun), app(app(cons(), x), xs)) -> app#(app(app(filter2(), app(fun, x)), fun), x))
     (app#(app(app(app(filter2(), true()), fun), x), xs) -> app#(app(filter(), fun), xs), app#(app(filter(), fun), app(app(cons(), x), xs)) -> app#(app(filter2(), app(fun, x)), fun))
     (app#(app(app(app(filter2(), true()), fun), x), xs) -> app#(app(filter(), fun), xs), app#(app(filter(), fun), app(app(cons(), x), xs)) -> app#(filter2(), app(fun, x)))
    }
    STATUS:
     arrows: 0.864198
     SCCS (3):
      Scc:
       { app#(app(app(app(filter2(), true()), fun), x), xs) -> app#(app(filter(), fun), xs),
        app#(app(app(app(filter2(), false()), fun), x), xs) -> app#(app(filter(), fun), xs),
             app#(app(map(), fun), app(app(cons(), x), xs)) -> app#(fun, x),
             app#(app(map(), fun), app(app(cons(), x), xs)) -> app#(app(map(), fun), xs),
          app#(app(filter(), fun), app(app(cons(), x), xs)) -> app#(fun, x),
          app#(app(filter(), fun), app(app(cons(), x), xs)) -> app#(app(app(app(filter2(), app(fun, x)), fun), x), xs)}
      Scc:
       {app#(app(app(f(), x), app(c(), x)), app(c(), y)) -> app#(app(app(f(), y), x), y)}
      Scc:
       {app#(app(app(f(), app(s(), x)), y), z) -> app#(app(app(f(), x), app(s(), app(c(), y))), app(c(), z))}
      
      SCC (6):
       Strict:
        { app#(app(app(app(filter2(), true()), fun), x), xs) -> app#(app(filter(), fun), xs),
         app#(app(app(app(filter2(), false()), fun), x), xs) -> app#(app(filter(), fun), xs),
              app#(app(map(), fun), app(app(cons(), x), xs)) -> app#(fun, x),
              app#(app(map(), fun), app(app(cons(), x), xs)) -> app#(app(map(), fun), xs),
           app#(app(filter(), fun), app(app(cons(), x), xs)) -> app#(fun, x),
           app#(app(filter(), fun), app(app(cons(), x), xs)) -> app#(app(app(app(filter2(), app(fun, x)), fun), x), xs)}
       Weak:
       { app(app(app(app(filter2(), true()), fun), x), xs) -> app(app(cons(), x), app(app(filter(), fun), xs)),
        app(app(app(app(filter2(), false()), fun), x), xs) -> app(app(filter(), fun), xs),
           app(app(app(f(), x), app(c(), x)), app(c(), y)) -> app(app(app(f(), y), y), app(app(app(f(), y), x), y)),
                     app(app(app(f(), app(c(), x)), x), y) -> app(c(), y),
                     app(app(app(f(), app(s(), x)), y), z) -> app(app(app(f(), x), app(s(), app(c(), y))), app(c(), z)),
                                       app(app(g(), x), y) -> y,
                                       app(app(g(), x), y) -> x,
             app(app(map(), fun), app(app(cons(), x), xs)) -> app(app(cons(), app(fun, x)), app(app(map(), fun), xs)),
                               app(app(map(), fun), nil()) -> nil(),
          app(app(filter(), fun), app(app(cons(), x), xs)) -> app(app(app(app(filter2(), app(fun, x)), fun), x), xs),
                            app(app(filter(), fun), nil()) -> nil()}
       Open
      
      
      SCC (1):
       Strict:
        {app#(app(app(f(), x), app(c(), x)), app(c(), y)) -> app#(app(app(f(), y), x), y)}
       Weak:
       { app(app(app(app(filter2(), true()), fun), x), xs) -> app(app(cons(), x), app(app(filter(), fun), xs)),
        app(app(app(app(filter2(), false()), fun), x), xs) -> app(app(filter(), fun), xs),
           app(app(app(f(), x), app(c(), x)), app(c(), y)) -> app(app(app(f(), y), y), app(app(app(f(), y), x), y)),
                     app(app(app(f(), app(c(), x)), x), y) -> app(c(), y),
                     app(app(app(f(), app(s(), x)), y), z) -> app(app(app(f(), x), app(s(), app(c(), y))), app(c(), z)),
                                       app(app(g(), x), y) -> y,
                                       app(app(g(), x), y) -> x,
             app(app(map(), fun), app(app(cons(), x), xs)) -> app(app(cons(), app(fun, x)), app(app(map(), fun), xs)),
                               app(app(map(), fun), nil()) -> nil(),
          app(app(filter(), fun), app(app(cons(), x), xs)) -> app(app(app(app(filter2(), app(fun, x)), fun), x), xs),
                            app(app(filter(), fun), nil()) -> nil()}
       Open
      
      
      
      
      SCC (1):
       Strict:
        {app#(app(app(f(), app(s(), x)), y), z) -> app#(app(app(f(), x), app(s(), app(c(), y))), app(c(), z))}
       Weak:
       { app(app(app(app(filter2(), true()), fun), x), xs) -> app(app(cons(), x), app(app(filter(), fun), xs)),
        app(app(app(app(filter2(), false()), fun), x), xs) -> app(app(filter(), fun), xs),
           app(app(app(f(), x), app(c(), x)), app(c(), y)) -> app(app(app(f(), y), y), app(app(app(f(), y), x), y)),
                     app(app(app(f(), app(c(), x)), x), y) -> app(c(), y),
                     app(app(app(f(), app(s(), x)), y), z) -> app(app(app(f(), x), app(s(), app(c(), y))), app(c(), z)),
                                       app(app(g(), x), y) -> y,
                                       app(app(g(), x), y) -> x,
             app(app(map(), fun), app(app(cons(), x), xs)) -> app(app(cons(), app(fun, x)), app(app(map(), fun), xs)),
                               app(app(map(), fun), nil()) -> nil(),
          app(app(filter(), fun), app(app(cons(), x), xs)) -> app(app(app(app(filter2(), app(fun, x)), fun), x), xs),
                            app(app(filter(), fun), nil()) -> nil()}
       Open