MAYBE
Time: 0.168763
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(rev1(), x), app(app(cons(), y), l)) -> app(app(rev1(), y), l),
              app(app(rev1(), app(s(), x)), nil()) -> app(s(), x),
                      app(app(rev1(), 0()), nil()) -> 0(),
                        app(app(rev2(), x), nil()) -> nil(),
       app(app(rev2(), x), app(app(cons(), y), l)) -> app(rev(), app(app(cons(), x), app(app(rev2(), y), l))),
                         app(app(map(), f), nil()) -> nil(),
       app(app(map(), f), app(app(cons(), x), xs)) -> app(app(cons(), app(f, x)), app(app(map(), f), xs)),
                      app(app(filter(), f), nil()) -> nil(),
    app(app(filter(), f), app(app(cons(), x), xs)) -> app(app(app(app(filter2(), app(f, x)), f), x), xs),
                                 app(rev(), nil()) -> nil(),
                app(rev(), app(app(cons(), x), l)) -> app(app(cons(), app(app(rev1(), x), l)), app(app(rev2(), x), l))}
 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(rev1(), x), app(app(cons(), y), l)) -> app#(app(rev1(), y), l),
         app#(app(rev1(), x), app(app(cons(), y), l)) -> app#(rev1(), y),
         app#(app(rev2(), x), app(app(cons(), y), l)) -> app#(app(cons(), x), app(app(rev2(), y), l)),
         app#(app(rev2(), x), app(app(cons(), y), l)) -> app#(app(rev2(), y), l),
         app#(app(rev2(), x), app(app(cons(), y), l)) -> app#(rev(), app(app(cons(), x), app(app(rev2(), y), l))),
         app#(app(rev2(), x), app(app(cons(), y), l)) -> app#(cons(), x),
         app#(app(rev2(), x), app(app(cons(), y), l)) -> app#(rev2(), y),
         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#(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)),
                  app#(rev(), app(app(cons(), x), l)) -> app#(app(cons(), app(app(rev1(), x), l)), app(app(rev2(), x), l)),
                  app#(rev(), app(app(cons(), x), l)) -> app#(app(rev1(), x), l),
                  app#(rev(), app(app(cons(), x), l)) -> app#(app(rev2(), x), l),
                  app#(rev(), app(app(cons(), x), l)) -> app#(cons(), app(app(rev1(), x), l)),
                  app#(rev(), app(app(cons(), x), l)) -> app#(rev1(), x),
                  app#(rev(), app(app(cons(), x), l)) -> app#(rev2(), 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(rev1(), x), app(app(cons(), y), l)) -> app(app(rev1(), y), l),
               app(app(rev1(), app(s(), x)), nil()) -> app(s(), x),
                       app(app(rev1(), 0()), nil()) -> 0(),
                         app(app(rev2(), x), nil()) -> nil(),
        app(app(rev2(), x), app(app(cons(), y), l)) -> app(rev(), app(app(cons(), x), app(app(rev2(), y), l))),
                          app(app(map(), f), nil()) -> nil(),
        app(app(map(), f), app(app(cons(), x), xs)) -> app(app(cons(), app(f, x)), app(app(map(), f), xs)),
                       app(app(filter(), f), nil()) -> nil(),
     app(app(filter(), f), app(app(cons(), x), xs)) -> app(app(app(app(filter2(), app(f, x)), f), x), xs),
                                  app(rev(), nil()) -> nil(),
                 app(rev(), app(app(cons(), x), l)) -> app(app(cons(), app(app(rev1(), x), l)), app(app(rev2(), x), l))}
  EDG:
   {
    (app#(app(map(), f), app(app(cons(), x), xs)) -> app#(f, x), app#(rev(), app(app(cons(), x), l)) -> app#(rev2(), x))
    (app#(app(map(), f), app(app(cons(), x), xs)) -> app#(f, x), app#(rev(), app(app(cons(), x), l)) -> app#(rev1(), x))
    (app#(app(map(), f), app(app(cons(), x), xs)) -> app#(f, x), app#(rev(), app(app(cons(), x), l)) -> app#(cons(), app(app(rev1(), x), l)))
    (app#(app(map(), f), app(app(cons(), x), xs)) -> app#(f, x), app#(rev(), app(app(cons(), x), l)) -> app#(app(rev2(), x), l))
    (app#(app(map(), f), app(app(cons(), x), xs)) -> app#(f, x), app#(rev(), app(app(cons(), x), l)) -> app#(app(rev1(), x), l))
    (app#(app(map(), f), app(app(cons(), x), xs)) -> app#(f, x), app#(rev(), app(app(cons(), x), l)) -> app#(app(cons(), app(app(rev1(), x), l)), app(app(rev2(), x), l)))
    (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(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#(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(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#(f, x))
    (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(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#(f, x))
    (app#(app(map(), f), app(app(cons(), x), xs)) -> app#(f, x), app#(app(rev2(), x), app(app(cons(), y), l)) -> app#(rev2(), y))
    (app#(app(map(), f), app(app(cons(), x), xs)) -> app#(f, x), app#(app(rev2(), x), app(app(cons(), y), l)) -> app#(cons(), x))
    (app#(app(map(), f), app(app(cons(), x), xs)) -> app#(f, x), app#(app(rev2(), x), app(app(cons(), y), l)) -> app#(rev(), app(app(cons(), x), app(app(rev2(), y), l))))
    (app#(app(map(), f), app(app(cons(), x), xs)) -> app#(f, x), app#(app(rev2(), x), app(app(cons(), y), l)) -> app#(app(rev2(), y), l))
    (app#(app(map(), f), app(app(cons(), x), xs)) -> app#(f, x), app#(app(rev2(), x), app(app(cons(), y), l)) -> app#(app(cons(), x), app(app(rev2(), y), l)))
    (app#(app(map(), f), app(app(cons(), x), xs)) -> app#(f, x), app#(app(rev1(), x), app(app(cons(), y), l)) -> app#(rev1(), y))
    (app#(app(map(), f), app(app(cons(), x), xs)) -> app#(f, x), app#(app(rev1(), x), app(app(cons(), y), l)) -> app#(app(rev1(), y), l))
    (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(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(), true()), f), x), xs) -> app#(filter(), f))
    (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#(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(rev1(), x), app(app(cons(), y), l)) -> app#(app(rev1(), y), l), app#(app(rev1(), x), app(app(cons(), y), l)) -> app#(rev1(), y))
    (app#(app(rev1(), x), app(app(cons(), y), l)) -> app#(app(rev1(), y), l), app#(app(rev1(), x), app(app(cons(), y), l)) -> app#(app(rev1(), y), l))
    (app#(rev(), app(app(cons(), x), l)) -> app#(app(rev1(), x), l), app#(app(rev1(), x), app(app(cons(), y), l)) -> app#(rev1(), y))
    (app#(rev(), app(app(cons(), x), l)) -> app#(app(rev1(), x), l), app#(app(rev1(), x), app(app(cons(), y), l)) -> app#(app(rev1(), y), l))
    (app#(rev(), app(app(cons(), x), l)) -> app#(app(rev2(), x), l), app#(app(rev2(), x), app(app(cons(), y), l)) -> app#(app(cons(), x), app(app(rev2(), y), l)))
    (app#(rev(), app(app(cons(), x), l)) -> app#(app(rev2(), x), l), app#(app(rev2(), x), app(app(cons(), y), l)) -> app#(app(rev2(), y), l))
    (app#(rev(), app(app(cons(), x), l)) -> app#(app(rev2(), x), l), app#(app(rev2(), x), app(app(cons(), y), l)) -> app#(rev(), app(app(cons(), x), app(app(rev2(), y), l))))
    (app#(rev(), app(app(cons(), x), l)) -> app#(app(rev2(), x), l), app#(app(rev2(), x), app(app(cons(), y), l)) -> app#(cons(), x))
    (app#(rev(), app(app(cons(), x), l)) -> app#(app(rev2(), x), l), app#(app(rev2(), x), app(app(cons(), y), l)) -> app#(rev2(), y))
    (app#(app(rev2(), x), app(app(cons(), y), l)) -> app#(app(rev2(), y), l), app#(app(rev2(), x), app(app(cons(), y), l)) -> app#(app(cons(), x), app(app(rev2(), y), l)))
    (app#(app(rev2(), x), app(app(cons(), y), l)) -> app#(app(rev2(), y), l), app#(app(rev2(), x), app(app(cons(), y), l)) -> app#(app(rev2(), y), l))
    (app#(app(rev2(), x), app(app(cons(), y), l)) -> app#(app(rev2(), y), l), app#(app(rev2(), x), app(app(cons(), y), l)) -> app#(rev(), app(app(cons(), x), app(app(rev2(), y), l))))
    (app#(app(rev2(), x), app(app(cons(), y), l)) -> app#(app(rev2(), y), l), app#(app(rev2(), x), app(app(cons(), y), l)) -> app#(cons(), x))
    (app#(app(rev2(), x), app(app(cons(), y), l)) -> app#(app(rev2(), y), l), app#(app(rev2(), x), app(app(cons(), y), l)) -> app#(rev2(), y))
    (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(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#(cons(), x))
    (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(), 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(), false()), f), x), xs) -> app#(filter(), f))
    (app#(app(filter(), f), app(app(cons(), x), xs)) -> app#(f, x), app#(app(rev1(), x), app(app(cons(), y), l)) -> app#(app(rev1(), y), l))
    (app#(app(filter(), f), app(app(cons(), x), xs)) -> app#(f, x), app#(app(rev1(), x), app(app(cons(), y), l)) -> app#(rev1(), y))
    (app#(app(filter(), f), app(app(cons(), x), xs)) -> app#(f, x), app#(app(rev2(), x), app(app(cons(), y), l)) -> app#(app(cons(), x), app(app(rev2(), y), l)))
    (app#(app(filter(), f), app(app(cons(), x), xs)) -> app#(f, x), app#(app(rev2(), x), app(app(cons(), y), l)) -> app#(app(rev2(), y), l))
    (app#(app(filter(), f), app(app(cons(), x), xs)) -> app#(f, x), app#(app(rev2(), x), app(app(cons(), y), l)) -> app#(rev(), app(app(cons(), x), app(app(rev2(), y), l))))
    (app#(app(filter(), f), app(app(cons(), x), xs)) -> app#(f, x), app#(app(rev2(), x), app(app(cons(), y), l)) -> app#(cons(), x))
    (app#(app(filter(), f), app(app(cons(), x), xs)) -> app#(f, x), app#(app(rev2(), x), app(app(cons(), y), l)) -> app#(rev2(), y))
    (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(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#(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#(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#(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(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#(filter2(), app(f, x)))
    (app#(app(filter(), f), app(app(cons(), x), xs)) -> app#(f, x), app#(rev(), app(app(cons(), x), l)) -> app#(app(cons(), app(app(rev1(), x), l)), app(app(rev2(), x), l)))
    (app#(app(filter(), f), app(app(cons(), x), xs)) -> app#(f, x), app#(rev(), app(app(cons(), x), l)) -> app#(app(rev1(), x), l))
    (app#(app(filter(), f), app(app(cons(), x), xs)) -> app#(f, x), app#(rev(), app(app(cons(), x), l)) -> app#(app(rev2(), x), l))
    (app#(app(filter(), f), app(app(cons(), x), xs)) -> app#(f, x), app#(rev(), app(app(cons(), x), l)) -> app#(cons(), app(app(rev1(), x), l)))
    (app#(app(filter(), f), app(app(cons(), x), xs)) -> app#(f, x), app#(rev(), app(app(cons(), x), l)) -> app#(rev1(), x))
    (app#(app(filter(), f), app(app(cons(), x), xs)) -> app#(f, x), app#(rev(), app(app(cons(), x), l)) -> app#(rev2(), 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(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#(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(), 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(), 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#(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(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#(filter2(), 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(rev2(), x), app(app(cons(), y), l)) -> app#(rev(), app(app(cons(), x), app(app(rev2(), y), l))), app#(rev(), app(app(cons(), x), l)) -> app#(app(cons(), app(app(rev1(), x), l)), app(app(rev2(), x), l)))
    (app#(app(rev2(), x), app(app(cons(), y), l)) -> app#(rev(), app(app(cons(), x), app(app(rev2(), y), l))), app#(rev(), app(app(cons(), x), l)) -> app#(app(rev1(), x), l))
    (app#(app(rev2(), x), app(app(cons(), y), l)) -> app#(rev(), app(app(cons(), x), app(app(rev2(), y), l))), app#(rev(), app(app(cons(), x), l)) -> app#(app(rev2(), x), l))
    (app#(app(rev2(), x), app(app(cons(), y), l)) -> app#(rev(), app(app(cons(), x), app(app(rev2(), y), l))), app#(rev(), app(app(cons(), x), l)) -> app#(cons(), app(app(rev1(), x), l)))
    (app#(app(rev2(), x), app(app(cons(), y), l)) -> app#(rev(), app(app(cons(), x), app(app(rev2(), y), l))), app#(rev(), app(app(cons(), x), l)) -> app#(rev1(), x))
    (app#(app(rev2(), x), app(app(cons(), y), l)) -> app#(rev(), app(app(cons(), x), app(app(rev2(), y), l))), app#(rev(), app(app(cons(), x), l)) -> app#(rev2(), x))
   }
   STATUS:
    arrows: 0.885204
    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(rev2(), x), app(app(cons(), y), l)) -> app#(app(rev2(), y), l),
       app#(app(rev2(), x), app(app(cons(), y), l)) -> app#(rev(), app(app(cons(), x), app(app(rev2(), y), l))),
                app#(rev(), app(app(cons(), x), l)) -> app#(app(rev2(), x), l)}
     Scc:
      {app#(app(rev1(), x), app(app(cons(), y), l)) -> app#(app(rev1(), y), l)}
     
     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(rev1(), x), app(app(cons(), y), l)) -> app(app(rev1(), y), l),
                   app(app(rev1(), app(s(), x)), nil()) -> app(s(), x),
                           app(app(rev1(), 0()), nil()) -> 0(),
                             app(app(rev2(), x), nil()) -> nil(),
            app(app(rev2(), x), app(app(cons(), y), l)) -> app(rev(), app(app(cons(), x), app(app(rev2(), y), l))),
                              app(app(map(), f), nil()) -> nil(),
            app(app(map(), f), app(app(cons(), x), xs)) -> app(app(cons(), app(f, x)), app(app(map(), f), xs)),
                           app(app(filter(), f), nil()) -> nil(),
         app(app(filter(), f), app(app(cons(), x), xs)) -> app(app(app(app(filter2(), app(f, x)), f), x), xs),
                                      app(rev(), nil()) -> nil(),
                     app(rev(), app(app(cons(), x), l)) -> app(app(cons(), app(app(rev1(), x), l)), app(app(rev2(), x), l))}
      POLY:
       Mode: weak, max_in=1, output_bits=-1, dnum=1, ur=true
       Interpretation:
        [app](x0, x1) = x0 + x1,
        
        [nil] = 1,
        
        [rev] = 0,
        
        [cons] = 1,
        
        [rev1] = 1,
        
        [rev2] = 1,
        
        [0] = 0,
        
        [s] = 0,
        
        [map] = 0,
        
        [filter] = 0,
        
        [filter2] = 0,
        
        [true] = 0,
        
        [false] = 0,
        
        [app#](x0, x1) = x0
       Strict:
        app#(app(filter(), f), app(app(cons(), x), xs)) -> app#(f, x)
        1 + 1x + 0f + 1xs >= 0 + 1x + 0f
        app#(app(map(), f), app(app(cons(), x), xs)) -> app#(app(map(), f), xs)
        1 + 1x + 0f + 1xs >= 0 + 0f + 1xs
        app#(app(map(), f), app(app(cons(), x), xs)) -> app#(f, x)
        1 + 1x + 0f + 1xs >= 0 + 1x + 0f
        app#(app(app(app(filter2(), false()), f), x), xs) -> app#(app(filter(), f), xs)
        0 + 0x + 0f + 1xs >= 0 + 0f + 1xs
        app#(app(app(app(filter2(), true()), f), x), xs) -> app#(app(filter(), f), xs)
        0 + 0x + 0f + 1xs >= 0 + 0f + 1xs
       Weak:
        app(rev(), app(app(cons(), x), l)) -> app(app(cons(), app(app(rev1(), x), l)), app(app(rev2(), x), l))
        1 + 1x + 1l >= 3 + 2x + 2l
        app(rev(), nil()) -> nil()
        1 >= 1
        app(app(filter(), f), app(app(cons(), x), xs)) -> app(app(app(app(filter2(), app(f, x)), f), x), xs)
        1 + 1x + 1f + 1xs >= 0 + 2x + 2f + 1xs
        app(app(filter(), f), nil()) -> nil()
        1 + 1f >= 1
        app(app(map(), f), app(app(cons(), x), xs)) -> app(app(cons(), app(f, x)), app(app(map(), f), xs))
        1 + 1x + 1f + 1xs >= 1 + 1x + 2f + 1xs
        app(app(map(), f), nil()) -> nil()
        1 + 1f >= 1
        app(app(rev2(), x), app(app(cons(), y), l)) -> app(rev(), app(app(cons(), x), app(app(rev2(), y), l)))
        2 + 1x + 1l + 1y >= 2 + 1x + 1l + 1y
        app(app(rev2(), x), nil()) -> nil()
        2 + 1x >= 1
        app(app(rev1(), 0()), nil()) -> 0()
        2 >= 0
        app(app(rev1(), app(s(), x)), nil()) -> app(s(), x)
        2 + 1x >= 0 + 1x
        app(app(rev1(), x), app(app(cons(), y), l)) -> app(app(rev1(), y), l)
        2 + 1x + 1l + 1y >= 1 + 1l + 1y
        app(app(app(app(filter2(), false()), f), x), xs) -> app(app(filter(), f), xs)
        0 + 1x + 1f + 1xs >= 0 + 1f + 1xs
        app(app(app(app(filter2(), true()), f), x), xs) -> app(app(cons(), x), app(app(filter(), f), xs))
        0 + 1x + 1f + 1xs >= 1 + 1x + 1f + 1xs
      SCCS (0):
       
       
       
    
    
    
    
    
    
    
    
    SCC (3):
     Strict:
      {app#(app(rev2(), x), app(app(cons(), y), l)) -> app#(app(rev2(), y), l),
       app#(app(rev2(), x), app(app(cons(), y), l)) -> app#(rev(), app(app(cons(), x), app(app(rev2(), y), l))),
                app#(rev(), app(app(cons(), x), l)) -> app#(app(rev2(), x), l)}
     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(rev1(), x), app(app(cons(), y), l)) -> app(app(rev1(), y), l),
                  app(app(rev1(), app(s(), x)), nil()) -> app(s(), x),
                          app(app(rev1(), 0()), nil()) -> 0(),
                            app(app(rev2(), x), nil()) -> nil(),
           app(app(rev2(), x), app(app(cons(), y), l)) -> app(rev(), app(app(cons(), x), app(app(rev2(), y), l))),
                             app(app(map(), f), nil()) -> nil(),
           app(app(map(), f), app(app(cons(), x), xs)) -> app(app(cons(), app(f, x)), app(app(map(), f), xs)),
                          app(app(filter(), f), nil()) -> nil(),
        app(app(filter(), f), app(app(cons(), x), xs)) -> app(app(app(app(filter2(), app(f, x)), f), x), xs),
                                     app(rev(), nil()) -> nil(),
                    app(rev(), app(app(cons(), x), l)) -> app(app(cons(), app(app(rev1(), x), l)), app(app(rev2(), x), l))}
     Fail
    
    
    
    
    
    
    
    SCC (1):
     Strict:
      {app#(app(rev1(), x), app(app(cons(), y), l)) -> app#(app(rev1(), y), l)}
     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(rev1(), x), app(app(cons(), y), l)) -> app(app(rev1(), y), l),
                  app(app(rev1(), app(s(), x)), nil()) -> app(s(), x),
                          app(app(rev1(), 0()), nil()) -> 0(),
                            app(app(rev2(), x), nil()) -> nil(),
           app(app(rev2(), x), app(app(cons(), y), l)) -> app(rev(), app(app(cons(), x), app(app(rev2(), y), l))),
                             app(app(map(), f), nil()) -> nil(),
           app(app(map(), f), app(app(cons(), x), xs)) -> app(app(cons(), app(f, x)), app(app(map(), f), xs)),
                          app(app(filter(), f), nil()) -> nil(),
        app(app(filter(), f), app(app(cons(), x), xs)) -> app(app(app(app(filter2(), app(f, x)), f), x), xs),
                                     app(rev(), nil()) -> nil(),
                    app(rev(), app(app(cons(), x), l)) -> app(app(cons(), app(app(rev1(), x), l)), app(app(rev2(), x), l))}
     POLY:
      Mode: weak, max_in=1, output_bits=-1, dnum=1, ur=true
      Interpretation:
       [app](x0, x1) = x0 + 1,
       
       [nil] = 1,
       
       [rev] = 0,
       
       [cons] = 0,
       
       [rev1] = 0,
       
       [rev2] = 0,
       
       [0] = 1,
       
       [s] = 0,
       
       [map] = 0,
       
       [filter] = 0,
       
       [filter2] = 0,
       
       [true] = 1,
       
       [false] = 1,
       
       [app#](x0, x1) = x0
      Strict:
       app#(app(rev1(), x), app(app(cons(), y), l)) -> app#(app(rev1(), y), l)
       1 + 0x + 1l + 0y >= 0 + 1l + 0y
      Weak:
       app(rev(), app(app(cons(), x), l)) -> app(app(cons(), app(app(rev1(), x), l)), app(app(rev2(), x), l))
       2 + 0x + 1l >= 2 + 0x + 1l
       app(rev(), nil()) -> nil()
       2 >= 1
       app(app(filter(), f), app(app(cons(), x), xs)) -> app(app(app(app(filter2(), app(f, x)), f), x), xs)
       2 + 0x + 0f + 1xs >= 1 + 0x + 0f + 1xs
       app(app(filter(), f), nil()) -> nil()
       2 + 0f >= 1
       app(app(map(), f), app(app(cons(), x), xs)) -> app(app(cons(), app(f, x)), app(app(map(), f), xs))
       2 + 0x + 0f + 1xs >= 2 + 0x + 0f + 1xs
       app(app(map(), f), nil()) -> nil()
       2 + 0f >= 1
       app(app(rev2(), x), app(app(cons(), y), l)) -> app(rev(), app(app(cons(), x), app(app(rev2(), y), l)))
       2 + 0x + 1l + 0y >= 3 + 0x + 1l + 0y
       app(app(rev2(), x), nil()) -> nil()
       2 + 0x >= 1
       app(app(rev1(), 0()), nil()) -> 0()
       2 >= 1
       app(app(rev1(), app(s(), x)), nil()) -> app(s(), x)
       2 + 0x >= 1 + 1x
       app(app(rev1(), x), app(app(cons(), y), l)) -> app(app(rev1(), y), l)
       2 + 0x + 1l + 0y >= 1 + 1l + 0y
       app(app(app(app(filter2(), false()), f), x), xs) -> app(app(filter(), f), xs)
       1 + 0x + 0f + 1xs >= 1 + 0f + 1xs
       app(app(app(app(filter2(), true()), f), x), xs) -> app(app(cons(), x), app(app(filter(), f), xs))
       1 + 0x + 0f + 1xs >= 2 + 0x + 0f + 1xs
     Qed