MAYBE
Time: 0.153024
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(if(), true()), x), y) -> x,
                app(app(app(if(), false()), x), y) -> y,
          app(app(le(), app(s(), x)), app(s(), y)) -> app(app(le(), x), y),
                  app(app(le(), app(s(), x)), 0()) -> false(),
                            app(app(le(), 0()), y) -> true(),
          app(app(eq(), app(s(), x)), app(s(), y)) -> app(app(eq(), x), y),
                  app(app(eq(), app(s(), x)), 0()) -> false(),
                  app(app(eq(), 0()), app(s(), y)) -> false(),
                          app(app(eq(), 0()), 0()) -> true(),
        app(app(min(), x), app(app(cons(), y), z)) -> app(app(app(if(), app(app(le(), x), y)), app(app(min(), x), z)), app(app(min(), y), z)),
                         app(app(min(), x), nil()) -> x,
        app(app(del(), x), app(app(cons(), y), z)) -> app(app(app(if(), app(app(eq(), x), y)), z), app(app(cons(), y), app(app(del(), x), z))),
                         app(app(del(), x), nil()) -> nil(),
       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(),
            app(minsort(), app(app(cons(), x), y)) -> app(app(cons(), app(app(min(), x), y)), app(minsort(), app(app(del(), app(app(min(), x), y)), app(app(cons(), x), y)))),
                             app(minsort(), 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(le(), app(s(), x)), app(s(), y)) -> app#(app(le(), x), y),
            app#(app(le(), app(s(), x)), app(s(), y)) -> app#(le(), x),
            app#(app(eq(), app(s(), x)), app(s(), y)) -> app#(app(eq(), x), y),
            app#(app(eq(), app(s(), x)), app(s(), y)) -> app#(eq(), x),
          app#(app(min(), x), app(app(cons(), y), z)) -> app#(app(app(if(), app(app(le(), x), y)), app(app(min(), x), z)), app(app(min(), y), z)),
          app#(app(min(), x), app(app(cons(), y), z)) -> app#(app(le(), x), y),
          app#(app(min(), x), app(app(cons(), y), z)) -> app#(app(if(), app(app(le(), x), y)), app(app(min(), x), z)),
          app#(app(min(), x), app(app(cons(), y), z)) -> app#(app(min(), y), z),
          app#(app(min(), x), app(app(cons(), y), z)) -> app#(app(min(), x), z),
          app#(app(min(), x), app(app(cons(), y), z)) -> app#(le(), x),
          app#(app(min(), x), app(app(cons(), y), z)) -> app#(if(), app(app(le(), x), y)),
          app#(app(min(), x), app(app(cons(), y), z)) -> app#(min(), y),
          app#(app(del(), x), app(app(cons(), y), z)) -> app#(app(app(if(), app(app(eq(), x), y)), z), app(app(cons(), y), app(app(del(), x), z))),
          app#(app(del(), x), app(app(cons(), y), z)) -> app#(app(eq(), x), y),
          app#(app(del(), x), app(app(cons(), y), z)) -> app#(app(if(), app(app(eq(), x), y)), z),
          app#(app(del(), x), app(app(cons(), y), z)) -> app#(app(cons(), y), app(app(del(), x), z)),
          app#(app(del(), x), app(app(cons(), y), z)) -> app#(app(del(), x), z),
          app#(app(del(), x), app(app(cons(), y), z)) -> app#(eq(), x),
          app#(app(del(), x), app(app(cons(), y), z)) -> app#(if(), app(app(eq(), x), 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#(minsort(), app(app(cons(), x), y)) -> app#(app(cons(), app(app(min(), x), y)), app(minsort(), app(app(del(), app(app(min(), x), y)), app(app(cons(), x), y)))),
              app#(minsort(), app(app(cons(), x), y)) -> app#(app(min(), x), y),
              app#(minsort(), app(app(cons(), x), y)) -> app#(app(del(), app(app(min(), x), y)), app(app(cons(), x), y)),
              app#(minsort(), app(app(cons(), x), y)) -> app#(minsort(), app(app(del(), app(app(min(), x), y)), app(app(cons(), x), y))),
              app#(minsort(), app(app(cons(), x), y)) -> app#(cons(), app(app(min(), x), y)),
              app#(minsort(), app(app(cons(), x), y)) -> app#(min(), x),
              app#(minsort(), app(app(cons(), x), y)) -> app#(del(), app(app(min(), x), y))}
  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(if(), true()), x), y) -> x,
                 app(app(app(if(), false()), x), y) -> y,
           app(app(le(), app(s(), x)), app(s(), y)) -> app(app(le(), x), y),
                   app(app(le(), app(s(), x)), 0()) -> false(),
                             app(app(le(), 0()), y) -> true(),
           app(app(eq(), app(s(), x)), app(s(), y)) -> app(app(eq(), x), y),
                   app(app(eq(), app(s(), x)), 0()) -> false(),
                   app(app(eq(), 0()), app(s(), y)) -> false(),
                           app(app(eq(), 0()), 0()) -> true(),
         app(app(min(), x), app(app(cons(), y), z)) -> app(app(app(if(), app(app(le(), x), y)), app(app(min(), x), z)), app(app(min(), y), z)),
                          app(app(min(), x), nil()) -> x,
         app(app(del(), x), app(app(cons(), y), z)) -> app(app(app(if(), app(app(eq(), x), y)), z), app(app(cons(), y), app(app(del(), x), z))),
                          app(app(del(), x), nil()) -> nil(),
        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(),
             app(minsort(), app(app(cons(), x), y)) -> app(app(cons(), app(app(min(), x), y)), app(minsort(), app(app(del(), app(app(min(), x), y)), app(app(cons(), x), y)))),
                              app(minsort(), nil()) -> nil()}
  UR:
   { 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(if(), true()), x), y) -> x,
                  app(app(app(if(), false()), x), y) -> y,
            app(app(le(), app(s(), x)), app(s(), y)) -> app(app(le(), x), y),
                    app(app(le(), app(s(), x)), 0()) -> false(),
                              app(app(le(), 0()), y) -> true(),
            app(app(eq(), app(s(), x)), app(s(), y)) -> app(app(eq(), x), y),
                    app(app(eq(), app(s(), x)), 0()) -> false(),
                    app(app(eq(), 0()), app(s(), y)) -> false(),
                            app(app(eq(), 0()), 0()) -> true(),
          app(app(min(), x), app(app(cons(), y), z)) -> app(app(app(if(), app(app(le(), x), y)), app(app(min(), x), z)), app(app(min(), y), z)),
                           app(app(min(), x), nil()) -> x,
          app(app(del(), x), app(app(cons(), y), z)) -> app(app(app(if(), app(app(eq(), x), y)), z), app(app(cons(), y), app(app(del(), x), z))),
                           app(app(del(), x), nil()) -> nil(),
         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(),
              app(minsort(), app(app(cons(), x), y)) -> app(app(cons(), app(app(min(), x), y)), app(minsort(), app(app(del(), app(app(min(), x), y)), app(app(cons(), x), y)))),
                               app(minsort(), nil()) -> nil(),
                                             a(w, v) -> w,
                                             a(w, v) -> v}
   EDG:
    {
     (app#(app(filter(), f), app(app(cons(), x), xs)) -> app#(f, x), app#(minsort(), app(app(cons(), x), y)) -> app#(del(), app(app(min(), x), y)))
     (app#(app(filter(), f), app(app(cons(), x), xs)) -> app#(f, x), app#(minsort(), app(app(cons(), x), y)) -> app#(min(), x))
     (app#(app(filter(), f), app(app(cons(), x), xs)) -> app#(f, x), app#(minsort(), app(app(cons(), x), y)) -> app#(cons(), app(app(min(), x), y)))
     (app#(app(filter(), f), app(app(cons(), x), xs)) -> app#(f, x), app#(minsort(), app(app(cons(), x), y)) -> app#(minsort(), app(app(del(), app(app(min(), x), y)), app(app(cons(), x), y))))
     (app#(app(filter(), f), app(app(cons(), x), xs)) -> app#(f, x), app#(minsort(), app(app(cons(), x), y)) -> app#(app(del(), app(app(min(), x), y)), app(app(cons(), x), y)))
     (app#(app(filter(), f), app(app(cons(), x), xs)) -> app#(f, x), app#(minsort(), app(app(cons(), x), y)) -> app#(app(min(), x), y))
     (app#(app(filter(), f), app(app(cons(), x), xs)) -> app#(f, x), app#(minsort(), app(app(cons(), x), y)) -> app#(app(cons(), app(app(min(), x), y)), app(minsort(), app(app(del(), app(app(min(), x), y)), app(app(cons(), x), y)))))
     (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(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(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#(f, x))
     (app#(app(filter(), f), app(app(cons(), x), xs)) -> app#(f, x), app#(app(del(), x), app(app(cons(), y), z)) -> app#(if(), app(app(eq(), x), y)))
     (app#(app(filter(), f), app(app(cons(), x), xs)) -> app#(f, x), app#(app(del(), x), app(app(cons(), y), z)) -> app#(eq(), x))
     (app#(app(filter(), f), app(app(cons(), x), xs)) -> app#(f, x), app#(app(del(), x), app(app(cons(), y), z)) -> app#(app(del(), x), z))
     (app#(app(filter(), f), app(app(cons(), x), xs)) -> app#(f, x), app#(app(del(), x), app(app(cons(), y), z)) -> app#(app(cons(), y), app(app(del(), x), z)))
     (app#(app(filter(), f), app(app(cons(), x), xs)) -> app#(f, x), app#(app(del(), x), app(app(cons(), y), z)) -> app#(app(if(), app(app(eq(), x), y)), z))
     (app#(app(filter(), f), app(app(cons(), x), xs)) -> app#(f, x), app#(app(del(), x), app(app(cons(), y), z)) -> app#(app(eq(), x), y))
     (app#(app(filter(), f), app(app(cons(), x), xs)) -> app#(f, x), app#(app(del(), x), app(app(cons(), y), z)) -> app#(app(app(if(), app(app(eq(), x), y)), z), app(app(cons(), y), app(app(del(), x), z))))
     (app#(app(filter(), f), app(app(cons(), x), xs)) -> app#(f, x), app#(app(min(), x), app(app(cons(), y), z)) -> app#(min(), y))
     (app#(app(filter(), f), app(app(cons(), x), xs)) -> app#(f, x), app#(app(min(), x), app(app(cons(), y), z)) -> app#(if(), app(app(le(), x), y)))
     (app#(app(filter(), f), app(app(cons(), x), xs)) -> app#(f, x), app#(app(min(), x), app(app(cons(), y), z)) -> app#(le(), x))
     (app#(app(filter(), f), app(app(cons(), x), xs)) -> app#(f, x), app#(app(min(), x), app(app(cons(), y), z)) -> app#(app(min(), x), z))
     (app#(app(filter(), f), app(app(cons(), x), xs)) -> app#(f, x), app#(app(min(), x), app(app(cons(), y), z)) -> app#(app(min(), y), z))
     (app#(app(filter(), f), app(app(cons(), x), xs)) -> app#(f, x), app#(app(min(), x), app(app(cons(), y), z)) -> app#(app(if(), app(app(le(), x), y)), app(app(min(), x), z)))
     (app#(app(filter(), f), app(app(cons(), x), xs)) -> app#(f, x), app#(app(min(), x), app(app(cons(), y), z)) -> app#(app(le(), x), y))
     (app#(app(filter(), f), app(app(cons(), x), xs)) -> app#(f, x), app#(app(min(), x), app(app(cons(), y), z)) -> app#(app(app(if(), app(app(le(), x), y)), app(app(min(), x), z)), app(app(min(), y), z)))
     (app#(app(filter(), f), app(app(cons(), x), xs)) -> app#(f, x), app#(app(eq(), app(s(), x)), app(s(), y)) -> app#(eq(), x))
     (app#(app(filter(), f), app(app(cons(), x), xs)) -> app#(f, x), app#(app(eq(), app(s(), x)), app(s(), y)) -> app#(app(eq(), x), y))
     (app#(app(filter(), f), app(app(cons(), x), xs)) -> app#(f, x), app#(app(le(), app(s(), x)), app(s(), y)) -> app#(le(), x))
     (app#(app(filter(), f), app(app(cons(), x), xs)) -> app#(f, x), app#(app(le(), app(s(), x)), app(s(), y)) -> app#(app(le(), x), y))
     (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(le(), app(s(), x)), app(s(), y)) -> app#(app(le(), x), y), app#(app(le(), app(s(), x)), app(s(), y)) -> app#(le(), x))
     (app#(app(le(), app(s(), x)), app(s(), y)) -> app#(app(le(), x), y), app#(app(le(), app(s(), x)), app(s(), y)) -> app#(app(le(), x), y))
     (app#(app(min(), x), app(app(cons(), y), z)) -> app#(app(le(), x), y), app#(app(le(), app(s(), x)), app(s(), y)) -> app#(le(), x))
     (app#(app(min(), x), app(app(cons(), y), z)) -> app#(app(le(), x), y), app#(app(le(), app(s(), x)), app(s(), y)) -> app#(app(le(), x), y))
     (app#(minsort(), app(app(cons(), x), y)) -> app#(app(min(), x), y), app#(app(min(), x), app(app(cons(), y), z)) -> app#(min(), y))
     (app#(minsort(), app(app(cons(), x), y)) -> app#(app(min(), x), y), app#(app(min(), x), app(app(cons(), y), z)) -> app#(if(), app(app(le(), x), y)))
     (app#(minsort(), app(app(cons(), x), y)) -> app#(app(min(), x), y), app#(app(min(), x), app(app(cons(), y), z)) -> app#(le(), x))
     (app#(minsort(), app(app(cons(), x), y)) -> app#(app(min(), x), y), app#(app(min(), x), app(app(cons(), y), z)) -> app#(app(min(), x), z))
     (app#(minsort(), app(app(cons(), x), y)) -> app#(app(min(), x), y), app#(app(min(), x), app(app(cons(), y), z)) -> app#(app(min(), y), z))
     (app#(minsort(), app(app(cons(), x), y)) -> app#(app(min(), x), y), app#(app(min(), x), app(app(cons(), y), z)) -> app#(app(if(), app(app(le(), x), y)), app(app(min(), x), z)))
     (app#(minsort(), app(app(cons(), x), y)) -> app#(app(min(), x), y), app#(app(min(), x), app(app(cons(), y), z)) -> app#(app(le(), x), y))
     (app#(minsort(), app(app(cons(), x), y)) -> app#(app(min(), x), y), app#(app(min(), x), app(app(cons(), y), z)) -> app#(app(app(if(), app(app(le(), x), y)), app(app(min(), x), z)), app(app(min(), y), z)))
     (app#(minsort(), app(app(cons(), x), y)) -> app#(app(del(), app(app(min(), x), y)), app(app(cons(), x), y)), app#(app(del(), x), app(app(cons(), y), z)) -> app#(if(), app(app(eq(), x), y)))
     (app#(minsort(), app(app(cons(), x), y)) -> app#(app(del(), app(app(min(), x), y)), app(app(cons(), x), y)), app#(app(del(), x), app(app(cons(), y), z)) -> app#(eq(), x))
     (app#(minsort(), app(app(cons(), x), y)) -> app#(app(del(), app(app(min(), x), y)), app(app(cons(), x), y)), app#(app(del(), x), app(app(cons(), y), z)) -> app#(app(del(), x), z))
     (app#(minsort(), app(app(cons(), x), y)) -> app#(app(del(), app(app(min(), x), y)), app(app(cons(), x), y)), app#(app(del(), x), app(app(cons(), y), z)) -> app#(app(cons(), y), app(app(del(), x), z)))
     (app#(minsort(), app(app(cons(), x), y)) -> app#(app(del(), app(app(min(), x), y)), app(app(cons(), x), y)), app#(app(del(), x), app(app(cons(), y), z)) -> app#(app(if(), app(app(eq(), x), y)), z))
     (app#(minsort(), app(app(cons(), x), y)) -> app#(app(del(), app(app(min(), x), y)), app(app(cons(), x), y)), app#(app(del(), x), app(app(cons(), y), z)) -> app#(app(eq(), x), y))
     (app#(minsort(), app(app(cons(), x), y)) -> app#(app(del(), app(app(min(), x), y)), app(app(cons(), x), y)), app#(app(del(), x), app(app(cons(), y), z)) -> app#(app(app(if(), app(app(eq(), x), y)), z), app(app(cons(), y), app(app(del(), x), z))))
     (app#(app(min(), x), app(app(cons(), y), z)) -> app#(app(min(), x), z), app#(app(min(), x), app(app(cons(), y), z)) -> app#(min(), y))
     (app#(app(min(), x), app(app(cons(), y), z)) -> app#(app(min(), x), z), app#(app(min(), x), app(app(cons(), y), z)) -> app#(if(), app(app(le(), x), y)))
     (app#(app(min(), x), app(app(cons(), y), z)) -> app#(app(min(), x), z), app#(app(min(), x), app(app(cons(), y), z)) -> app#(le(), x))
     (app#(app(min(), x), app(app(cons(), y), z)) -> app#(app(min(), x), z), app#(app(min(), x), app(app(cons(), y), z)) -> app#(app(min(), x), z))
     (app#(app(min(), x), app(app(cons(), y), z)) -> app#(app(min(), x), z), app#(app(min(), x), app(app(cons(), y), z)) -> app#(app(min(), y), z))
     (app#(app(min(), x), app(app(cons(), y), z)) -> app#(app(min(), x), z), app#(app(min(), x), app(app(cons(), y), z)) -> app#(app(if(), app(app(le(), x), y)), app(app(min(), x), z)))
     (app#(app(min(), x), app(app(cons(), y), z)) -> app#(app(min(), x), z), app#(app(min(), x), app(app(cons(), y), z)) -> app#(app(le(), x), y))
     (app#(app(min(), x), app(app(cons(), y), z)) -> app#(app(min(), x), z), app#(app(min(), x), app(app(cons(), y), z)) -> app#(app(app(if(), app(app(le(), x), y)), app(app(min(), x), z)), app(app(min(), y), z)))
     (app#(app(del(), x), app(app(cons(), y), z)) -> app#(app(del(), x), z), app#(app(del(), x), app(app(cons(), y), z)) -> app#(if(), app(app(eq(), x), y)))
     (app#(app(del(), x), app(app(cons(), y), z)) -> app#(app(del(), x), z), app#(app(del(), x), app(app(cons(), y), z)) -> app#(eq(), x))
     (app#(app(del(), x), app(app(cons(), y), z)) -> app#(app(del(), x), z), app#(app(del(), x), app(app(cons(), y), z)) -> app#(app(del(), x), z))
     (app#(app(del(), x), app(app(cons(), y), z)) -> app#(app(del(), x), z), app#(app(del(), x), app(app(cons(), y), z)) -> app#(app(cons(), y), app(app(del(), x), z)))
     (app#(app(del(), x), app(app(cons(), y), z)) -> app#(app(del(), x), z), app#(app(del(), x), app(app(cons(), y), z)) -> app#(app(if(), app(app(eq(), x), y)), z))
     (app#(app(del(), x), app(app(cons(), y), z)) -> app#(app(del(), x), z), app#(app(del(), x), app(app(cons(), y), z)) -> app#(app(eq(), x), y))
     (app#(app(del(), x), app(app(cons(), y), z)) -> app#(app(del(), x), z), app#(app(del(), x), app(app(cons(), y), z)) -> app#(app(app(if(), app(app(eq(), x), y)), z), app(app(cons(), y), app(app(del(), x), 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(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#(filter(), f))
     (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(app(filter2(), app(f, x)), f), x), xs), app#(app(app(app(filter2(), true()), f), x), xs) -> app#(filter(), f))
     (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#(cons(), x))
     (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(app(filter2(), app(f, x)), f), x), xs), 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#(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(), 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(min(), x), app(app(cons(), y), z)) -> app#(app(min(), y), z), app#(app(min(), x), app(app(cons(), y), z)) -> app#(app(app(if(), app(app(le(), x), y)), app(app(min(), x), z)), app(app(min(), y), z)))
     (app#(app(min(), x), app(app(cons(), y), z)) -> app#(app(min(), y), z), app#(app(min(), x), app(app(cons(), y), z)) -> app#(app(le(), x), y))
     (app#(app(min(), x), app(app(cons(), y), z)) -> app#(app(min(), y), z), app#(app(min(), x), app(app(cons(), y), z)) -> app#(app(if(), app(app(le(), x), y)), app(app(min(), x), z)))
     (app#(app(min(), x), app(app(cons(), y), z)) -> app#(app(min(), y), z), app#(app(min(), x), app(app(cons(), y), z)) -> app#(app(min(), y), z))
     (app#(app(min(), x), app(app(cons(), y), z)) -> app#(app(min(), y), z), app#(app(min(), x), app(app(cons(), y), z)) -> app#(app(min(), x), z))
     (app#(app(min(), x), app(app(cons(), y), z)) -> app#(app(min(), y), z), app#(app(min(), x), app(app(cons(), y), z)) -> app#(le(), x))
     (app#(app(min(), x), app(app(cons(), y), z)) -> app#(app(min(), y), z), app#(app(min(), x), app(app(cons(), y), z)) -> app#(if(), app(app(le(), x), y)))
     (app#(app(min(), x), app(app(cons(), y), z)) -> app#(app(min(), y), z), app#(app(min(), x), app(app(cons(), y), z)) -> app#(min(), y))
     (app#(app(del(), x), app(app(cons(), y), z)) -> app#(app(eq(), x), y), app#(app(eq(), app(s(), x)), app(s(), y)) -> app#(app(eq(), x), y))
     (app#(app(del(), x), app(app(cons(), y), z)) -> app#(app(eq(), x), y), app#(app(eq(), app(s(), x)), app(s(), y)) -> app#(eq(), x))
     (app#(app(eq(), app(s(), x)), app(s(), y)) -> app#(app(eq(), x), y), app#(app(eq(), app(s(), x)), app(s(), y)) -> app#(app(eq(), x), y))
     (app#(app(eq(), app(s(), x)), app(s(), y)) -> app#(app(eq(), x), y), app#(app(eq(), app(s(), x)), app(s(), y)) -> app#(eq(), x))
     (app#(minsort(), app(app(cons(), x), y)) -> app#(minsort(), app(app(del(), app(app(min(), x), y)), app(app(cons(), x), y))), app#(minsort(), app(app(cons(), x), y)) -> app#(app(cons(), app(app(min(), x), y)), app(minsort(), app(app(del(), app(app(min(), x), y)), app(app(cons(), x), y)))))
     (app#(minsort(), app(app(cons(), x), y)) -> app#(minsort(), app(app(del(), app(app(min(), x), y)), app(app(cons(), x), y))), app#(minsort(), app(app(cons(), x), y)) -> app#(app(min(), x), y))
     (app#(minsort(), app(app(cons(), x), y)) -> app#(minsort(), app(app(del(), app(app(min(), x), y)), app(app(cons(), x), y))), app#(minsort(), app(app(cons(), x), y)) -> app#(app(del(), app(app(min(), x), y)), app(app(cons(), x), y)))
     (app#(minsort(), app(app(cons(), x), y)) -> app#(minsort(), app(app(del(), app(app(min(), x), y)), app(app(cons(), x), y))), app#(minsort(), app(app(cons(), x), y)) -> app#(minsort(), app(app(del(), app(app(min(), x), y)), app(app(cons(), x), y))))
     (app#(minsort(), app(app(cons(), x), y)) -> app#(minsort(), app(app(del(), app(app(min(), x), y)), app(app(cons(), x), y))), app#(minsort(), app(app(cons(), x), y)) -> app#(cons(), app(app(min(), x), y)))
     (app#(minsort(), app(app(cons(), x), y)) -> app#(minsort(), app(app(del(), app(app(min(), x), y)), app(app(cons(), x), y))), app#(minsort(), app(app(cons(), x), y)) -> app#(min(), x))
     (app#(minsort(), app(app(cons(), x), y)) -> app#(minsort(), app(app(del(), app(app(min(), x), y)), app(app(cons(), x), y))), app#(minsort(), app(app(cons(), x), y)) -> app#(del(), app(app(min(), x), y)))
     (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(le(), app(s(), x)), app(s(), y)) -> app#(app(le(), x), y))
     (app#(app(map(), f), app(app(cons(), x), xs)) -> app#(f, x), app#(app(le(), app(s(), x)), app(s(), y)) -> app#(le(), x))
     (app#(app(map(), f), app(app(cons(), x), xs)) -> app#(f, x), app#(app(eq(), app(s(), x)), app(s(), y)) -> app#(app(eq(), x), y))
     (app#(app(map(), f), app(app(cons(), x), xs)) -> app#(f, x), app#(app(eq(), app(s(), x)), app(s(), y)) -> app#(eq(), x))
     (app#(app(map(), f), app(app(cons(), x), xs)) -> app#(f, x), app#(app(min(), x), app(app(cons(), y), z)) -> app#(app(app(if(), app(app(le(), x), y)), app(app(min(), x), z)), app(app(min(), y), z)))
     (app#(app(map(), f), app(app(cons(), x), xs)) -> app#(f, x), app#(app(min(), x), app(app(cons(), y), z)) -> app#(app(le(), x), y))
     (app#(app(map(), f), app(app(cons(), x), xs)) -> app#(f, x), app#(app(min(), x), app(app(cons(), y), z)) -> app#(app(if(), app(app(le(), x), y)), app(app(min(), x), z)))
     (app#(app(map(), f), app(app(cons(), x), xs)) -> app#(f, x), app#(app(min(), x), app(app(cons(), y), z)) -> app#(app(min(), y), z))
     (app#(app(map(), f), app(app(cons(), x), xs)) -> app#(f, x), app#(app(min(), x), app(app(cons(), y), z)) -> app#(app(min(), x), z))
     (app#(app(map(), f), app(app(cons(), x), xs)) -> app#(f, x), app#(app(min(), x), app(app(cons(), y), z)) -> app#(le(), x))
     (app#(app(map(), f), app(app(cons(), x), xs)) -> app#(f, x), app#(app(min(), x), app(app(cons(), y), z)) -> app#(if(), app(app(le(), x), y)))
     (app#(app(map(), f), app(app(cons(), x), xs)) -> app#(f, x), app#(app(min(), x), app(app(cons(), y), z)) -> app#(min(), y))
     (app#(app(map(), f), app(app(cons(), x), xs)) -> app#(f, x), app#(app(del(), x), app(app(cons(), y), z)) -> app#(app(app(if(), app(app(eq(), x), y)), z), app(app(cons(), y), app(app(del(), x), z))))
     (app#(app(map(), f), app(app(cons(), x), xs)) -> app#(f, x), app#(app(del(), x), app(app(cons(), y), z)) -> app#(app(eq(), x), y))
     (app#(app(map(), f), app(app(cons(), x), xs)) -> app#(f, x), app#(app(del(), x), app(app(cons(), y), z)) -> app#(app(if(), app(app(eq(), x), y)), z))
     (app#(app(map(), f), app(app(cons(), x), xs)) -> app#(f, x), app#(app(del(), x), app(app(cons(), y), z)) -> app#(app(cons(), y), app(app(del(), x), z)))
     (app#(app(map(), f), app(app(cons(), x), xs)) -> app#(f, x), app#(app(del(), x), app(app(cons(), y), z)) -> app#(app(del(), x), z))
     (app#(app(map(), f), app(app(cons(), x), xs)) -> app#(f, x), app#(app(del(), x), app(app(cons(), y), z)) -> app#(eq(), x))
     (app#(app(map(), f), app(app(cons(), x), xs)) -> app#(f, x), app#(app(del(), x), app(app(cons(), y), z)) -> app#(if(), app(app(eq(), x), 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(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#(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(map(), f), app(app(cons(), x), xs)) -> app#(f, x), app#(minsort(), app(app(cons(), x), y)) -> app#(app(cons(), app(app(min(), x), y)), app(minsort(), app(app(del(), app(app(min(), x), y)), app(app(cons(), x), y)))))
     (app#(app(map(), f), app(app(cons(), x), xs)) -> app#(f, x), app#(minsort(), app(app(cons(), x), y)) -> app#(app(min(), x), y))
     (app#(app(map(), f), app(app(cons(), x), xs)) -> app#(f, x), app#(minsort(), app(app(cons(), x), y)) -> app#(app(del(), app(app(min(), x), y)), app(app(cons(), x), y)))
     (app#(app(map(), f), app(app(cons(), x), xs)) -> app#(f, x), app#(minsort(), app(app(cons(), x), y)) -> app#(minsort(), app(app(del(), app(app(min(), x), y)), app(app(cons(), x), y))))
     (app#(app(map(), f), app(app(cons(), x), xs)) -> app#(f, x), app#(minsort(), app(app(cons(), x), y)) -> app#(cons(), app(app(min(), x), y)))
     (app#(app(map(), f), app(app(cons(), x), xs)) -> app#(f, x), app#(minsort(), app(app(cons(), x), y)) -> app#(min(), x))
     (app#(app(map(), f), app(app(cons(), x), xs)) -> app#(f, x), app#(minsort(), app(app(cons(), x), y)) -> app#(del(), app(app(min(), x), y)))
    }
    STATUS:
     arrows: 0.907793
     SCCS (6):
      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),
          app#(app(filter(), f), app(app(cons(), x), xs)) -> app#(app(app(app(filter2(), app(f, x)), f), x), xs)}
      Scc:
       {app#(minsort(), app(app(cons(), x), y)) -> app#(minsort(), app(app(del(), app(app(min(), x), y)), app(app(cons(), x), y)))}
      Scc:
       {app#(app(del(), x), app(app(cons(), y), z)) -> app#(app(del(), x), z)}
      Scc:
       {app#(app(min(), x), app(app(cons(), y), z)) -> app#(app(min(), y), z),
        app#(app(min(), x), app(app(cons(), y), z)) -> app#(app(min(), x), z)}
      Scc:
       {app#(app(eq(), app(s(), x)), app(s(), y)) -> app#(app(eq(), x), y)}
      Scc:
       {app#(app(le(), app(s(), x)), app(s(), y)) -> app#(app(le(), x), y)}
      
      SCC (6):
       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),
           app#(app(filter(), f), app(app(cons(), x), xs)) -> app#(app(app(app(filter2(), app(f, x)), f), x), xs)}
       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(if(), true()), x), y) -> x,
                      app(app(app(if(), false()), x), y) -> y,
                app(app(le(), app(s(), x)), app(s(), y)) -> app(app(le(), x), y),
                        app(app(le(), app(s(), x)), 0()) -> false(),
                                  app(app(le(), 0()), y) -> true(),
                app(app(eq(), app(s(), x)), app(s(), y)) -> app(app(eq(), x), y),
                        app(app(eq(), app(s(), x)), 0()) -> false(),
                        app(app(eq(), 0()), app(s(), y)) -> false(),
                                app(app(eq(), 0()), 0()) -> true(),
              app(app(min(), x), app(app(cons(), y), z)) -> app(app(app(if(), app(app(le(), x), y)), app(app(min(), x), z)), app(app(min(), y), z)),
                               app(app(min(), x), nil()) -> x,
              app(app(del(), x), app(app(cons(), y), z)) -> app(app(app(if(), app(app(eq(), x), y)), z), app(app(cons(), y), app(app(del(), x), z))),
                               app(app(del(), x), nil()) -> nil(),
             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(),
                  app(minsort(), app(app(cons(), x), y)) -> app(app(cons(), app(app(min(), x), y)), app(minsort(), app(app(del(), app(app(min(), x), y)), app(app(cons(), x), y)))),
                                   app(minsort(), nil()) -> nil()}
       Open
      SCC (1):
       Strict:
        {app#(minsort(), app(app(cons(), x), y)) -> app#(minsort(), app(app(del(), app(app(min(), x), y)), app(app(cons(), x), y)))}
       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(if(), true()), x), y) -> x,
                      app(app(app(if(), false()), x), y) -> y,
                app(app(le(), app(s(), x)), app(s(), y)) -> app(app(le(), x), y),
                        app(app(le(), app(s(), x)), 0()) -> false(),
                                  app(app(le(), 0()), y) -> true(),
                app(app(eq(), app(s(), x)), app(s(), y)) -> app(app(eq(), x), y),
                        app(app(eq(), app(s(), x)), 0()) -> false(),
                        app(app(eq(), 0()), app(s(), y)) -> false(),
                                app(app(eq(), 0()), 0()) -> true(),
              app(app(min(), x), app(app(cons(), y), z)) -> app(app(app(if(), app(app(le(), x), y)), app(app(min(), x), z)), app(app(min(), y), z)),
                               app(app(min(), x), nil()) -> x,
              app(app(del(), x), app(app(cons(), y), z)) -> app(app(app(if(), app(app(eq(), x), y)), z), app(app(cons(), y), app(app(del(), x), z))),
                               app(app(del(), x), nil()) -> nil(),
             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(),
                  app(minsort(), app(app(cons(), x), y)) -> app(app(cons(), app(app(min(), x), y)), app(minsort(), app(app(del(), app(app(min(), x), y)), app(app(cons(), x), y)))),
                                   app(minsort(), nil()) -> nil()}
       Open
      
      
      
      
      
      
      
      SCC (1):
       Strict:
        {app#(app(del(), x), app(app(cons(), y), z)) -> app#(app(del(), x), 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(if(), true()), x), y) -> x,
                      app(app(app(if(), false()), x), y) -> y,
                app(app(le(), app(s(), x)), app(s(), y)) -> app(app(le(), x), y),
                        app(app(le(), app(s(), x)), 0()) -> false(),
                                  app(app(le(), 0()), y) -> true(),
                app(app(eq(), app(s(), x)), app(s(), y)) -> app(app(eq(), x), y),
                        app(app(eq(), app(s(), x)), 0()) -> false(),
                        app(app(eq(), 0()), app(s(), y)) -> false(),
                                app(app(eq(), 0()), 0()) -> true(),
              app(app(min(), x), app(app(cons(), y), z)) -> app(app(app(if(), app(app(le(), x), y)), app(app(min(), x), z)), app(app(min(), y), z)),
                               app(app(min(), x), nil()) -> x,
              app(app(del(), x), app(app(cons(), y), z)) -> app(app(app(if(), app(app(eq(), x), y)), z), app(app(cons(), y), app(app(del(), x), z))),
                               app(app(del(), x), nil()) -> nil(),
             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(),
                  app(minsort(), app(app(cons(), x), y)) -> app(app(cons(), app(app(min(), x), y)), app(minsort(), app(app(del(), app(app(min(), x), y)), app(app(cons(), x), y)))),
                                   app(minsort(), nil()) -> nil()}
       Open
      
      
      
      
      
      SCC (2):
       Strict:
        {app#(app(min(), x), app(app(cons(), y), z)) -> app#(app(min(), y), z),
         app#(app(min(), x), app(app(cons(), y), z)) -> app#(app(min(), x), 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(if(), true()), x), y) -> x,
                      app(app(app(if(), false()), x), y) -> y,
                app(app(le(), app(s(), x)), app(s(), y)) -> app(app(le(), x), y),
                        app(app(le(), app(s(), x)), 0()) -> false(),
                                  app(app(le(), 0()), y) -> true(),
                app(app(eq(), app(s(), x)), app(s(), y)) -> app(app(eq(), x), y),
                        app(app(eq(), app(s(), x)), 0()) -> false(),
                        app(app(eq(), 0()), app(s(), y)) -> false(),
                                app(app(eq(), 0()), 0()) -> true(),
              app(app(min(), x), app(app(cons(), y), z)) -> app(app(app(if(), app(app(le(), x), y)), app(app(min(), x), z)), app(app(min(), y), z)),
                               app(app(min(), x), nil()) -> x,
              app(app(del(), x), app(app(cons(), y), z)) -> app(app(app(if(), app(app(eq(), x), y)), z), app(app(cons(), y), app(app(del(), x), z))),
                               app(app(del(), x), nil()) -> nil(),
             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(),
                  app(minsort(), app(app(cons(), x), y)) -> app(app(cons(), app(app(min(), x), y)), app(minsort(), app(app(del(), app(app(min(), x), y)), app(app(cons(), x), y)))),
                                   app(minsort(), nil()) -> nil()}
       Open
      
      
      
      
      
      SCC (1):
       Strict:
        {app#(app(eq(), app(s(), x)), app(s(), y)) -> app#(app(eq(), x), y)}
       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(if(), true()), x), y) -> x,
                      app(app(app(if(), false()), x), y) -> y,
                app(app(le(), app(s(), x)), app(s(), y)) -> app(app(le(), x), y),
                        app(app(le(), app(s(), x)), 0()) -> false(),
                                  app(app(le(), 0()), y) -> true(),
                app(app(eq(), app(s(), x)), app(s(), y)) -> app(app(eq(), x), y),
                        app(app(eq(), app(s(), x)), 0()) -> false(),
                        app(app(eq(), 0()), app(s(), y)) -> false(),
                                app(app(eq(), 0()), 0()) -> true(),
              app(app(min(), x), app(app(cons(), y), z)) -> app(app(app(if(), app(app(le(), x), y)), app(app(min(), x), z)), app(app(min(), y), z)),
                               app(app(min(), x), nil()) -> x,
              app(app(del(), x), app(app(cons(), y), z)) -> app(app(app(if(), app(app(eq(), x), y)), z), app(app(cons(), y), app(app(del(), x), z))),
                               app(app(del(), x), nil()) -> nil(),
             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(),
                  app(minsort(), app(app(cons(), x), y)) -> app(app(cons(), app(app(min(), x), y)), app(minsort(), app(app(del(), app(app(min(), x), y)), app(app(cons(), x), y)))),
                                   app(minsort(), nil()) -> nil()}
       Open
      SCC (1):
       Strict:
        {app#(app(le(), app(s(), x)), app(s(), y)) -> app#(app(le(), x), y)}
       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(if(), true()), x), y) -> x,
                      app(app(app(if(), false()), x), y) -> y,
                app(app(le(), app(s(), x)), app(s(), y)) -> app(app(le(), x), y),
                        app(app(le(), app(s(), x)), 0()) -> false(),
                                  app(app(le(), 0()), y) -> true(),
                app(app(eq(), app(s(), x)), app(s(), y)) -> app(app(eq(), x), y),
                        app(app(eq(), app(s(), x)), 0()) -> false(),
                        app(app(eq(), 0()), app(s(), y)) -> false(),
                                app(app(eq(), 0()), 0()) -> true(),
              app(app(min(), x), app(app(cons(), y), z)) -> app(app(app(if(), app(app(le(), x), y)), app(app(min(), x), z)), app(app(min(), y), z)),
                               app(app(min(), x), nil()) -> x,
              app(app(del(), x), app(app(cons(), y), z)) -> app(app(app(if(), app(app(eq(), x), y)), z), app(app(cons(), y), app(app(del(), x), z))),
                               app(app(del(), x), nil()) -> nil(),
             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(),
                  app(minsort(), app(app(cons(), x), y)) -> app(app(cons(), app(app(min(), x), y)), app(minsort(), app(app(del(), app(app(min(), x), y)), app(app(cons(), x), y)))),
                                   app(minsort(), nil()) -> nil()}
       Open