MAYBE
Time: 0.611557
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'(minus(), x), 0()) -> x,
                                             app'(app'(minus(), app'(app'(minus(), x), y)), z) -> app'(app'(minus(), x), app'(app'(plus(), y), z)),
                                               app'(app'(minus(), app'(s(), x)), app'(s(), y)) -> app'(app'(minus(), x), y),
                                                           app'(app'(plus(), app'(s(), x)), y) -> app'(s(), app'(app'(plus(), x), y)),
                                                                    app'(app'(plus(), 0()), y) -> y,
                                                app'(app'(quot(), app'(s(), x)), app'(s(), y)) -> app'(s(), app'(app'(quot(), app'(app'(minus(), x), y)), app'(s(), y))),
                                                         app'(app'(quot(), 0()), app'(s(), y)) -> 0(),
                                                                   app'(app'(app(), l), nil()) -> l,
                                                app'(app'(app(), app'(app'(cons(), x), l)), k) -> app'(app'(cons(), x), app'(app'(app(), l), k)),
                                                                   app'(app'(app(), nil()), k) -> k,
                                               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'(sum(), app'(app'(app(), l), app'(app'(cons(), x), app'(app'(cons(), y), k)))) -> app'(sum(), app'(app'(app(), l), app'(sum(), app'(app'(cons(), x), app'(app'(cons(), y), k))))),
                                  app'(sum(), app'(app'(cons(), x), app'(app'(cons(), y), l))) -> app'(sum(), app'(app'(cons(), app'(app'(plus(), x), y)), l)),
                                                     app'(sum(), app'(app'(cons(), x), nil())) -> app'(app'(cons(), x), 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'(minus(), app'(app'(minus(), x), y)), z) -> app'#(app'(minus(), x), app'(app'(plus(), y), z)),
                                                 app'#(app'(minus(), app'(app'(minus(), x), y)), z) -> app'#(app'(plus(), y), z),
                                                 app'#(app'(minus(), app'(app'(minus(), x), y)), z) -> app'#(plus(), y),
                                                   app'#(app'(minus(), app'(s(), x)), app'(s(), y)) -> app'#(app'(minus(), x), y),
                                                   app'#(app'(minus(), app'(s(), x)), app'(s(), y)) -> app'#(minus(), x),
                                                               app'#(app'(plus(), app'(s(), x)), y) -> app'#(app'(plus(), x), y),
                                                               app'#(app'(plus(), app'(s(), x)), y) -> app'#(s(), app'(app'(plus(), x), y)),
                                                               app'#(app'(plus(), app'(s(), x)), y) -> app'#(plus(), x),
                                                    app'#(app'(quot(), app'(s(), x)), app'(s(), y)) -> app'#(app'(minus(), x), y),
                                                    app'#(app'(quot(), app'(s(), x)), app'(s(), y)) -> app'#(app'(quot(), app'(app'(minus(), x), y)), app'(s(), y)),
                                                    app'#(app'(quot(), app'(s(), x)), app'(s(), y)) -> app'#(minus(), x),
                                                    app'#(app'(quot(), app'(s(), x)), app'(s(), y)) -> app'#(s(), app'(app'(quot(), app'(app'(minus(), x), y)), app'(s(), y))),
                                                    app'#(app'(quot(), app'(s(), x)), app'(s(), y)) -> app'#(quot(), app'(app'(minus(), x), y)),
                                                    app'#(app'(app(), app'(app'(cons(), x), l)), k) -> app'#(app'(app(), l), k),
                                                    app'#(app'(app(), app'(app'(cons(), x), l)), k) -> app'#(app'(cons(), x), app'(app'(app(), l), k)),
                                                    app'#(app'(app(), app'(app'(cons(), x), l)), k) -> app'#(app(), l),
                                                   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'#(sum(), app'(app'(app(), l), app'(app'(cons(), x), app'(app'(cons(), y), k)))) -> app'#(app'(app(), l), app'(sum(), app'(app'(cons(), x), app'(app'(cons(), y), k)))),
    app'#(sum(), app'(app'(app(), l), app'(app'(cons(), x), app'(app'(cons(), y), k)))) -> app'#(sum(), app'(app'(app(), l), app'(sum(), app'(app'(cons(), x), app'(app'(cons(), y), k))))),
    app'#(sum(), app'(app'(app(), l), app'(app'(cons(), x), app'(app'(cons(), y), k)))) -> app'#(sum(), app'(app'(cons(), x), app'(app'(cons(), y), k))),
                                      app'#(sum(), app'(app'(cons(), x), app'(app'(cons(), y), l))) -> app'#(app'(plus(), x), y),
                                      app'#(sum(), app'(app'(cons(), x), app'(app'(cons(), y), l))) -> app'#(app'(cons(), app'(app'(plus(), x), y)), l),
                                      app'#(sum(), app'(app'(cons(), x), app'(app'(cons(), y), l))) -> app'#(plus(), x),
                                      app'#(sum(), app'(app'(cons(), x), app'(app'(cons(), y), l))) -> app'#(cons(), app'(app'(plus(), x), y)),
                                      app'#(sum(), app'(app'(cons(), x), app'(app'(cons(), y), l))) -> app'#(sum(), app'(app'(cons(), app'(app'(plus(), x), y)), l))}
  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'(minus(), x), 0()) -> x,
                                              app'(app'(minus(), app'(app'(minus(), x), y)), z) -> app'(app'(minus(), x), app'(app'(plus(), y), z)),
                                                app'(app'(minus(), app'(s(), x)), app'(s(), y)) -> app'(app'(minus(), x), y),
                                                            app'(app'(plus(), app'(s(), x)), y) -> app'(s(), app'(app'(plus(), x), y)),
                                                                     app'(app'(plus(), 0()), y) -> y,
                                                 app'(app'(quot(), app'(s(), x)), app'(s(), y)) -> app'(s(), app'(app'(quot(), app'(app'(minus(), x), y)), app'(s(), y))),
                                                          app'(app'(quot(), 0()), app'(s(), y)) -> 0(),
                                                                    app'(app'(app(), l), nil()) -> l,
                                                 app'(app'(app(), app'(app'(cons(), x), l)), k) -> app'(app'(cons(), x), app'(app'(app(), l), k)),
                                                                    app'(app'(app(), nil()), k) -> k,
                                                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'(sum(), app'(app'(app(), l), app'(app'(cons(), x), app'(app'(cons(), y), k)))) -> app'(sum(), app'(app'(app(), l), app'(sum(), app'(app'(cons(), x), app'(app'(cons(), y), k))))),
                                   app'(sum(), app'(app'(cons(), x), app'(app'(cons(), y), l))) -> app'(sum(), app'(app'(cons(), app'(app'(plus(), x), y)), l)),
                                                      app'(sum(), app'(app'(cons(), x), nil())) -> app'(app'(cons(), x), 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'(minus(), x), 0()) -> x,
                                               app'(app'(minus(), app'(app'(minus(), x), y)), z) -> app'(app'(minus(), x), app'(app'(plus(), y), z)),
                                                 app'(app'(minus(), app'(s(), x)), app'(s(), y)) -> app'(app'(minus(), x), y),
                                                             app'(app'(plus(), app'(s(), x)), y) -> app'(s(), app'(app'(plus(), x), y)),
                                                                      app'(app'(plus(), 0()), y) -> y,
                                                  app'(app'(quot(), app'(s(), x)), app'(s(), y)) -> app'(s(), app'(app'(quot(), app'(app'(minus(), x), y)), app'(s(), y))),
                                                           app'(app'(quot(), 0()), app'(s(), y)) -> 0(),
                                                                     app'(app'(app(), l), nil()) -> l,
                                                  app'(app'(app(), app'(app'(cons(), x), l)), k) -> app'(app'(cons(), x), app'(app'(app(), l), k)),
                                                                     app'(app'(app(), nil()), k) -> k,
                                                 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'(sum(), app'(app'(app(), l), app'(app'(cons(), x), app'(app'(cons(), y), k)))) -> app'(sum(), app'(app'(app(), l), app'(sum(), app'(app'(cons(), x), app'(app'(cons(), y), k))))),
                                    app'(sum(), app'(app'(cons(), x), app'(app'(cons(), y), l))) -> app'(sum(), app'(app'(cons(), app'(app'(plus(), x), y)), l)),
                                                       app'(sum(), app'(app'(cons(), x), nil())) -> app'(app'(cons(), x), nil()),
                                                                                         a(w, v) -> w,
                                                                                         a(w, v) -> v}
   EDG:
    {
     (app'#(app'(plus(), app'(s(), x)), y) -> app'#(app'(plus(), x), y), app'#(sum(), app'(app'(cons(), x), app'(app'(cons(), y), l))) -> app'#(sum(), app'(app'(cons(), app'(app'(plus(), x), y)), l)))
     (app'#(app'(plus(), app'(s(), x)), y) -> app'#(app'(plus(), x), y), app'#(sum(), app'(app'(cons(), x), app'(app'(cons(), y), l))) -> app'#(cons(), app'(app'(plus(), x), y)))
     (app'#(app'(plus(), app'(s(), x)), y) -> app'#(app'(plus(), x), y), app'#(sum(), app'(app'(cons(), x), app'(app'(cons(), y), l))) -> app'#(plus(), x))
     (app'#(app'(plus(), app'(s(), x)), y) -> app'#(app'(plus(), x), y), app'#(sum(), app'(app'(cons(), x), app'(app'(cons(), y), l))) -> app'#(app'(cons(), app'(app'(plus(), x), y)), l))
     (app'#(app'(plus(), app'(s(), x)), y) -> app'#(app'(plus(), x), y), app'#(sum(), app'(app'(cons(), x), app'(app'(cons(), y), l))) -> app'#(app'(plus(), x), y))
     (app'#(app'(plus(), app'(s(), x)), y) -> app'#(app'(plus(), x), y), app'#(sum(), app'(app'(app(), l), app'(app'(cons(), x), app'(app'(cons(), y), k)))) -> app'#(sum(), app'(app'(cons(), x), app'(app'(cons(), y), k))))
     (app'#(app'(plus(), app'(s(), x)), y) -> app'#(app'(plus(), x), y), app'#(sum(), app'(app'(app(), l), app'(app'(cons(), x), app'(app'(cons(), y), k)))) -> app'#(sum(), app'(app'(app(), l), app'(sum(), app'(app'(cons(), x), app'(app'(cons(), y), k))))))
     (app'#(app'(plus(), app'(s(), x)), y) -> app'#(app'(plus(), x), y), app'#(sum(), app'(app'(app(), l), app'(app'(cons(), x), app'(app'(cons(), y), k)))) -> app'#(app'(app(), l), app'(sum(), app'(app'(cons(), x), app'(app'(cons(), y), k)))))
     (app'#(app'(plus(), app'(s(), x)), y) -> app'#(app'(plus(), x), y), app'#(app'(filter(), f), app'(app'(cons(), x), xs)) -> app'#(filter2(), app'(f, x)))
     (app'#(app'(plus(), app'(s(), x)), y) -> app'#(app'(plus(), x), y), app'#(app'(filter(), f), app'(app'(cons(), x), xs)) -> app'#(app'(filter2(), app'(f, x)), f))
     (app'#(app'(plus(), app'(s(), x)), y) -> app'#(app'(plus(), x), y), app'#(app'(filter(), f), app'(app'(cons(), x), xs)) -> app'#(app'(app'(filter2(), app'(f, x)), f), x))
     (app'#(app'(plus(), app'(s(), x)), y) -> app'#(app'(plus(), x), y), app'#(app'(filter(), f), app'(app'(cons(), x), xs)) -> app'#(app'(app'(app'(filter2(), app'(f, x)), f), x), xs))
     (app'#(app'(plus(), app'(s(), x)), y) -> app'#(app'(plus(), x), y), app'#(app'(filter(), f), app'(app'(cons(), x), xs)) -> app'#(f, x))
     (app'#(app'(plus(), app'(s(), x)), y) -> app'#(app'(plus(), x), y), app'#(app'(map(), f), app'(app'(cons(), x), xs)) -> app'#(cons(), app'(f, x)))
     (app'#(app'(plus(), app'(s(), x)), y) -> app'#(app'(plus(), x), y), app'#(app'(map(), f), app'(app'(cons(), x), xs)) -> app'#(app'(map(), f), xs))
     (app'#(app'(plus(), app'(s(), x)), y) -> app'#(app'(plus(), x), y), app'#(app'(map(), f), app'(app'(cons(), x), xs)) -> app'#(app'(cons(), app'(f, x)), app'(app'(map(), f), xs)))
     (app'#(app'(plus(), app'(s(), x)), y) -> app'#(app'(plus(), x), y), app'#(app'(map(), f), app'(app'(cons(), x), xs)) -> app'#(f, x))
     (app'#(app'(plus(), app'(s(), x)), y) -> app'#(app'(plus(), x), y), app'#(app'(app(), app'(app'(cons(), x), l)), k) -> app'#(app(), l))
     (app'#(app'(plus(), app'(s(), x)), y) -> app'#(app'(plus(), x), y), app'#(app'(app(), app'(app'(cons(), x), l)), k) -> app'#(app'(cons(), x), app'(app'(app(), l), k)))
     (app'#(app'(plus(), app'(s(), x)), y) -> app'#(app'(plus(), x), y), app'#(app'(app(), app'(app'(cons(), x), l)), k) -> app'#(app'(app(), l), k))
     (app'#(app'(plus(), app'(s(), x)), y) -> app'#(app'(plus(), x), y), app'#(app'(quot(), app'(s(), x)), app'(s(), y)) -> app'#(quot(), app'(app'(minus(), x), y)))
     (app'#(app'(plus(), app'(s(), x)), y) -> app'#(app'(plus(), x), y), app'#(app'(quot(), app'(s(), x)), app'(s(), y)) -> app'#(s(), app'(app'(quot(), app'(app'(minus(), x), y)), app'(s(), y))))
     (app'#(app'(plus(), app'(s(), x)), y) -> app'#(app'(plus(), x), y), app'#(app'(quot(), app'(s(), x)), app'(s(), y)) -> app'#(minus(), x))
     (app'#(app'(plus(), app'(s(), x)), y) -> app'#(app'(plus(), x), y), app'#(app'(quot(), app'(s(), x)), app'(s(), y)) -> app'#(app'(quot(), app'(app'(minus(), x), y)), app'(s(), y)))
     (app'#(app'(plus(), app'(s(), x)), y) -> app'#(app'(plus(), x), y), app'#(app'(quot(), app'(s(), x)), app'(s(), y)) -> app'#(app'(minus(), x), y))
     (app'#(app'(plus(), app'(s(), x)), y) -> app'#(app'(plus(), x), y), app'#(app'(plus(), app'(s(), x)), y) -> app'#(plus(), x))
     (app'#(app'(plus(), app'(s(), x)), y) -> app'#(app'(plus(), x), y), app'#(app'(plus(), app'(s(), x)), y) -> app'#(s(), app'(app'(plus(), x), y)))
     (app'#(app'(plus(), app'(s(), x)), y) -> app'#(app'(plus(), x), y), app'#(app'(plus(), app'(s(), x)), y) -> app'#(app'(plus(), x), y))
     (app'#(app'(plus(), app'(s(), x)), y) -> app'#(app'(plus(), x), y), app'#(app'(minus(), app'(s(), x)), app'(s(), y)) -> app'#(minus(), x))
     (app'#(app'(plus(), app'(s(), x)), y) -> app'#(app'(plus(), x), y), app'#(app'(minus(), app'(s(), x)), app'(s(), y)) -> app'#(app'(minus(), x), y))
     (app'#(app'(plus(), app'(s(), x)), y) -> app'#(app'(plus(), x), y), app'#(app'(minus(), app'(app'(minus(), x), y)), z) -> app'#(plus(), y))
     (app'#(app'(plus(), app'(s(), x)), y) -> app'#(app'(plus(), x), y), app'#(app'(minus(), app'(app'(minus(), x), y)), z) -> app'#(app'(plus(), y), z))
     (app'#(app'(plus(), app'(s(), x)), y) -> app'#(app'(plus(), x), y), app'#(app'(minus(), app'(app'(minus(), x), y)), z) -> app'#(app'(minus(), x), app'(app'(plus(), y), z)))
     (app'#(app'(plus(), app'(s(), x)), y) -> app'#(app'(plus(), x), y), app'#(app'(app'(app'(filter2(), false()), f), x), xs) -> app'#(filter(), f))
     (app'#(app'(plus(), app'(s(), x)), y) -> app'#(app'(plus(), x), y), app'#(app'(app'(app'(filter2(), false()), f), x), xs) -> app'#(app'(filter(), f), xs))
     (app'#(app'(plus(), app'(s(), x)), y) -> app'#(app'(plus(), x), y), app'#(app'(app'(app'(filter2(), true()), f), x), xs) -> app'#(filter(), f))
     (app'#(app'(plus(), app'(s(), x)), y) -> app'#(app'(plus(), x), y), app'#(app'(app'(app'(filter2(), true()), f), x), xs) -> app'#(cons(), x))
     (app'#(app'(plus(), app'(s(), x)), y) -> app'#(app'(plus(), x), y), app'#(app'(app'(app'(filter2(), true()), f), x), xs) -> app'#(app'(filter(), f), xs))
     (app'#(app'(plus(), app'(s(), x)), y) -> app'#(app'(plus(), x), y), app'#(app'(app'(app'(filter2(), true()), f), x), xs) -> app'#(app'(cons(), x), app'(app'(filter(), f), xs)))
     (app'#(sum(), app'(app'(cons(), x), app'(app'(cons(), y), l))) -> app'#(app'(plus(), x), y), app'#(sum(), app'(app'(cons(), x), app'(app'(cons(), y), l))) -> app'#(sum(), app'(app'(cons(), app'(app'(plus(), x), y)), l)))
     (app'#(sum(), app'(app'(cons(), x), app'(app'(cons(), y), l))) -> app'#(app'(plus(), x), y), app'#(sum(), app'(app'(cons(), x), app'(app'(cons(), y), l))) -> app'#(cons(), app'(app'(plus(), x), y)))
     (app'#(sum(), app'(app'(cons(), x), app'(app'(cons(), y), l))) -> app'#(app'(plus(), x), y), app'#(sum(), app'(app'(cons(), x), app'(app'(cons(), y), l))) -> app'#(plus(), x))
     (app'#(sum(), app'(app'(cons(), x), app'(app'(cons(), y), l))) -> app'#(app'(plus(), x), y), app'#(sum(), app'(app'(cons(), x), app'(app'(cons(), y), l))) -> app'#(app'(cons(), app'(app'(plus(), x), y)), l))
     (app'#(sum(), app'(app'(cons(), x), app'(app'(cons(), y), l))) -> app'#(app'(plus(), x), y), app'#(sum(), app'(app'(cons(), x), app'(app'(cons(), y), l))) -> app'#(app'(plus(), x), y))
     (app'#(sum(), app'(app'(cons(), x), app'(app'(cons(), y), l))) -> app'#(app'(plus(), x), y), app'#(sum(), app'(app'(app(), l), app'(app'(cons(), x), app'(app'(cons(), y), k)))) -> app'#(sum(), app'(app'(cons(), x), app'(app'(cons(), y), k))))
     (app'#(sum(), app'(app'(cons(), x), app'(app'(cons(), y), l))) -> app'#(app'(plus(), x), y), app'#(sum(), app'(app'(app(), l), app'(app'(cons(), x), app'(app'(cons(), y), k)))) -> app'#(sum(), app'(app'(app(), l), app'(sum(), app'(app'(cons(), x), app'(app'(cons(), y), k))))))
     (app'#(sum(), app'(app'(cons(), x), app'(app'(cons(), y), l))) -> app'#(app'(plus(), x), y), app'#(sum(), app'(app'(app(), l), app'(app'(cons(), x), app'(app'(cons(), y), k)))) -> app'#(app'(app(), l), app'(sum(), app'(app'(cons(), x), app'(app'(cons(), y), k)))))
     (app'#(sum(), app'(app'(cons(), x), app'(app'(cons(), y), l))) -> app'#(app'(plus(), x), y), app'#(app'(filter(), f), app'(app'(cons(), x), xs)) -> app'#(filter2(), app'(f, x)))
     (app'#(sum(), app'(app'(cons(), x), app'(app'(cons(), y), l))) -> app'#(app'(plus(), x), y), app'#(app'(filter(), f), app'(app'(cons(), x), xs)) -> app'#(app'(filter2(), app'(f, x)), f))
     (app'#(sum(), app'(app'(cons(), x), app'(app'(cons(), y), l))) -> app'#(app'(plus(), x), y), app'#(app'(filter(), f), app'(app'(cons(), x), xs)) -> app'#(app'(app'(filter2(), app'(f, x)), f), x))
     (app'#(sum(), app'(app'(cons(), x), app'(app'(cons(), y), l))) -> app'#(app'(plus(), x), y), app'#(app'(filter(), f), app'(app'(cons(), x), xs)) -> app'#(app'(app'(app'(filter2(), app'(f, x)), f), x), xs))
     (app'#(sum(), app'(app'(cons(), x), app'(app'(cons(), y), l))) -> app'#(app'(plus(), x), y), app'#(app'(filter(), f), app'(app'(cons(), x), xs)) -> app'#(f, x))
     (app'#(sum(), app'(app'(cons(), x), app'(app'(cons(), y), l))) -> app'#(app'(plus(), x), y), app'#(app'(map(), f), app'(app'(cons(), x), xs)) -> app'#(cons(), app'(f, x)))
     (app'#(sum(), app'(app'(cons(), x), app'(app'(cons(), y), l))) -> app'#(app'(plus(), x), y), app'#(app'(map(), f), app'(app'(cons(), x), xs)) -> app'#(app'(map(), f), xs))
     (app'#(sum(), app'(app'(cons(), x), app'(app'(cons(), y), l))) -> app'#(app'(plus(), x), y), app'#(app'(map(), f), app'(app'(cons(), x), xs)) -> app'#(app'(cons(), app'(f, x)), app'(app'(map(), f), xs)))
     (app'#(sum(), app'(app'(cons(), x), app'(app'(cons(), y), l))) -> app'#(app'(plus(), x), y), app'#(app'(map(), f), app'(app'(cons(), x), xs)) -> app'#(f, x))
     (app'#(sum(), app'(app'(cons(), x), app'(app'(cons(), y), l))) -> app'#(app'(plus(), x), y), app'#(app'(app(), app'(app'(cons(), x), l)), k) -> app'#(app(), l))
     (app'#(sum(), app'(app'(cons(), x), app'(app'(cons(), y), l))) -> app'#(app'(plus(), x), y), app'#(app'(app(), app'(app'(cons(), x), l)), k) -> app'#(app'(cons(), x), app'(app'(app(), l), k)))
     (app'#(sum(), app'(app'(cons(), x), app'(app'(cons(), y), l))) -> app'#(app'(plus(), x), y), app'#(app'(app(), app'(app'(cons(), x), l)), k) -> app'#(app'(app(), l), k))
     (app'#(sum(), app'(app'(cons(), x), app'(app'(cons(), y), l))) -> app'#(app'(plus(), x), y), app'#(app'(quot(), app'(s(), x)), app'(s(), y)) -> app'#(quot(), app'(app'(minus(), x), y)))
     (app'#(sum(), app'(app'(cons(), x), app'(app'(cons(), y), l))) -> app'#(app'(plus(), x), y), app'#(app'(quot(), app'(s(), x)), app'(s(), y)) -> app'#(s(), app'(app'(quot(), app'(app'(minus(), x), y)), app'(s(), y))))
     (app'#(sum(), app'(app'(cons(), x), app'(app'(cons(), y), l))) -> app'#(app'(plus(), x), y), app'#(app'(quot(), app'(s(), x)), app'(s(), y)) -> app'#(minus(), x))
     (app'#(sum(), app'(app'(cons(), x), app'(app'(cons(), y), l))) -> app'#(app'(plus(), x), y), app'#(app'(quot(), app'(s(), x)), app'(s(), y)) -> app'#(app'(quot(), app'(app'(minus(), x), y)), app'(s(), y)))
     (app'#(sum(), app'(app'(cons(), x), app'(app'(cons(), y), l))) -> app'#(app'(plus(), x), y), app'#(app'(quot(), app'(s(), x)), app'(s(), y)) -> app'#(app'(minus(), x), y))
     (app'#(sum(), app'(app'(cons(), x), app'(app'(cons(), y), l))) -> app'#(app'(plus(), x), y), app'#(app'(plus(), app'(s(), x)), y) -> app'#(plus(), x))
     (app'#(sum(), app'(app'(cons(), x), app'(app'(cons(), y), l))) -> app'#(app'(plus(), x), y), app'#(app'(plus(), app'(s(), x)), y) -> app'#(s(), app'(app'(plus(), x), y)))
     (app'#(sum(), app'(app'(cons(), x), app'(app'(cons(), y), l))) -> app'#(app'(plus(), x), y), app'#(app'(plus(), app'(s(), x)), y) -> app'#(app'(plus(), x), y))
     (app'#(sum(), app'(app'(cons(), x), app'(app'(cons(), y), l))) -> app'#(app'(plus(), x), y), app'#(app'(minus(), app'(s(), x)), app'(s(), y)) -> app'#(minus(), x))
     (app'#(sum(), app'(app'(cons(), x), app'(app'(cons(), y), l))) -> app'#(app'(plus(), x), y), app'#(app'(minus(), app'(s(), x)), app'(s(), y)) -> app'#(app'(minus(), x), y))
     (app'#(sum(), app'(app'(cons(), x), app'(app'(cons(), y), l))) -> app'#(app'(plus(), x), y), app'#(app'(minus(), app'(app'(minus(), x), y)), z) -> app'#(plus(), y))
     (app'#(sum(), app'(app'(cons(), x), app'(app'(cons(), y), l))) -> app'#(app'(plus(), x), y), app'#(app'(minus(), app'(app'(minus(), x), y)), z) -> app'#(app'(plus(), y), z))
     (app'#(sum(), app'(app'(cons(), x), app'(app'(cons(), y), l))) -> app'#(app'(plus(), x), y), app'#(app'(minus(), app'(app'(minus(), x), y)), z) -> app'#(app'(minus(), x), app'(app'(plus(), y), z)))
     (app'#(sum(), app'(app'(cons(), x), app'(app'(cons(), y), l))) -> app'#(app'(plus(), x), y), app'#(app'(app'(app'(filter2(), false()), f), x), xs) -> app'#(filter(), f))
     (app'#(sum(), app'(app'(cons(), x), app'(app'(cons(), y), l))) -> app'#(app'(plus(), x), y), app'#(app'(app'(app'(filter2(), false()), f), x), xs) -> app'#(app'(filter(), f), xs))
     (app'#(sum(), app'(app'(cons(), x), app'(app'(cons(), y), l))) -> app'#(app'(plus(), x), y), app'#(app'(app'(app'(filter2(), true()), f), x), xs) -> app'#(filter(), f))
     (app'#(sum(), app'(app'(cons(), x), app'(app'(cons(), y), l))) -> app'#(app'(plus(), x), y), app'#(app'(app'(app'(filter2(), true()), f), x), xs) -> app'#(cons(), x))
     (app'#(sum(), app'(app'(cons(), x), app'(app'(cons(), y), l))) -> app'#(app'(plus(), x), y), app'#(app'(app'(app'(filter2(), true()), f), x), xs) -> app'#(app'(filter(), f), xs))
     (app'#(sum(), app'(app'(cons(), x), app'(app'(cons(), y), l))) -> app'#(app'(plus(), x), y), app'#(app'(app'(app'(filter2(), true()), f), x), xs) -> app'#(app'(cons(), x), app'(app'(filter(), f), xs)))
     (app'#(app'(quot(), app'(s(), x)), app'(s(), y)) -> app'#(s(), app'(app'(quot(), app'(app'(minus(), x), y)), app'(s(), y))), app'#(sum(), app'(app'(cons(), x), app'(app'(cons(), y), l))) -> app'#(sum(), app'(app'(cons(), app'(app'(plus(), x), y)), l)))
     (app'#(app'(quot(), app'(s(), x)), app'(s(), y)) -> app'#(s(), app'(app'(quot(), app'(app'(minus(), x), y)), app'(s(), y))), app'#(sum(), app'(app'(cons(), x), app'(app'(cons(), y), l))) -> app'#(cons(), app'(app'(plus(), x), y)))
     (app'#(app'(quot(), app'(s(), x)), app'(s(), y)) -> app'#(s(), app'(app'(quot(), app'(app'(minus(), x), y)), app'(s(), y))), app'#(sum(), app'(app'(cons(), x), app'(app'(cons(), y), l))) -> app'#(plus(), x))
     (app'#(app'(quot(), app'(s(), x)), app'(s(), y)) -> app'#(s(), app'(app'(quot(), app'(app'(minus(), x), y)), app'(s(), y))), app'#(sum(), app'(app'(cons(), x), app'(app'(cons(), y), l))) -> app'#(app'(cons(), app'(app'(plus(), x), y)), l))
     (app'#(app'(quot(), app'(s(), x)), app'(s(), y)) -> app'#(s(), app'(app'(quot(), app'(app'(minus(), x), y)), app'(s(), y))), app'#(sum(), app'(app'(cons(), x), app'(app'(cons(), y), l))) -> app'#(app'(plus(), x), y))
     (app'#(app'(quot(), app'(s(), x)), app'(s(), y)) -> app'#(s(), app'(app'(quot(), app'(app'(minus(), x), y)), app'(s(), y))), app'#(sum(), app'(app'(app(), l), app'(app'(cons(), x), app'(app'(cons(), y), k)))) -> app'#(sum(), app'(app'(cons(), x), app'(app'(cons(), y), k))))
     (app'#(app'(quot(), app'(s(), x)), app'(s(), y)) -> app'#(s(), app'(app'(quot(), app'(app'(minus(), x), y)), app'(s(), y))), app'#(sum(), app'(app'(app(), l), app'(app'(cons(), x), app'(app'(cons(), y), k)))) -> app'#(sum(), app'(app'(app(), l), app'(sum(), app'(app'(cons(), x), app'(app'(cons(), y), k))))))
     (app'#(app'(quot(), app'(s(), x)), app'(s(), y)) -> app'#(s(), app'(app'(quot(), app'(app'(minus(), x), y)), app'(s(), y))), app'#(sum(), app'(app'(app(), l), app'(app'(cons(), x), app'(app'(cons(), y), k)))) -> app'#(app'(app(), l), app'(sum(), app'(app'(cons(), x), app'(app'(cons(), y), k)))))
     (app'#(app'(quot(), app'(s(), x)), app'(s(), y)) -> app'#(s(), app'(app'(quot(), app'(app'(minus(), x), y)), app'(s(), y))), app'#(app'(filter(), f), app'(app'(cons(), x), xs)) -> app'#(filter2(), app'(f, x)))
     (app'#(app'(quot(), app'(s(), x)), app'(s(), y)) -> app'#(s(), app'(app'(quot(), app'(app'(minus(), x), y)), app'(s(), y))), app'#(app'(filter(), f), app'(app'(cons(), x), xs)) -> app'#(app'(filter2(), app'(f, x)), f))
     (app'#(app'(quot(), app'(s(), x)), app'(s(), y)) -> app'#(s(), app'(app'(quot(), app'(app'(minus(), x), y)), app'(s(), y))), app'#(app'(filter(), f), app'(app'(cons(), x), xs)) -> app'#(app'(app'(filter2(), app'(f, x)), f), x))
     (app'#(app'(quot(), app'(s(), x)), app'(s(), y)) -> app'#(s(), app'(app'(quot(), app'(app'(minus(), x), y)), app'(s(), y))), app'#(app'(filter(), f), app'(app'(cons(), x), xs)) -> app'#(app'(app'(app'(filter2(), app'(f, x)), f), x), xs))
     (app'#(app'(quot(), app'(s(), x)), app'(s(), y)) -> app'#(s(), app'(app'(quot(), app'(app'(minus(), x), y)), app'(s(), y))), app'#(app'(filter(), f), app'(app'(cons(), x), xs)) -> app'#(f, x))
     (app'#(app'(quot(), app'(s(), x)), app'(s(), y)) -> app'#(s(), app'(app'(quot(), app'(app'(minus(), x), y)), app'(s(), y))), app'#(app'(map(), f), app'(app'(cons(), x), xs)) -> app'#(cons(), app'(f, x)))
     (app'#(app'(quot(), app'(s(), x)), app'(s(), y)) -> app'#(s(), app'(app'(quot(), app'(app'(minus(), x), y)), app'(s(), y))), app'#(app'(map(), f), app'(app'(cons(), x), xs)) -> app'#(app'(map(), f), xs))
     (app'#(app'(quot(), app'(s(), x)), app'(s(), y)) -> app'#(s(), app'(app'(quot(), app'(app'(minus(), x), y)), app'(s(), y))), app'#(app'(map(), f), app'(app'(cons(), x), xs)) -> app'#(app'(cons(), app'(f, x)), app'(app'(map(), f), xs)))
     (app'#(app'(quot(), app'(s(), x)), app'(s(), y)) -> app'#(s(), app'(app'(quot(), app'(app'(minus(), x), y)), app'(s(), y))), app'#(app'(map(), f), app'(app'(cons(), x), xs)) -> app'#(f, x))
     (app'#(app'(quot(), app'(s(), x)), app'(s(), y)) -> app'#(s(), app'(app'(quot(), app'(app'(minus(), x), y)), app'(s(), y))), app'#(app'(app(), app'(app'(cons(), x), l)), k) -> app'#(app(), l))
     (app'#(app'(quot(), app'(s(), x)), app'(s(), y)) -> app'#(s(), app'(app'(quot(), app'(app'(minus(), x), y)), app'(s(), y))), app'#(app'(app(), app'(app'(cons(), x), l)), k) -> app'#(app'(cons(), x), app'(app'(app(), l), k)))
     (app'#(app'(quot(), app'(s(), x)), app'(s(), y)) -> app'#(s(), app'(app'(quot(), app'(app'(minus(), x), y)), app'(s(), y))), app'#(app'(app(), app'(app'(cons(), x), l)), k) -> app'#(app'(app(), l), k))
     (app'#(app'(quot(), app'(s(), x)), app'(s(), y)) -> app'#(s(), app'(app'(quot(), app'(app'(minus(), x), y)), app'(s(), y))), app'#(app'(quot(), app'(s(), x)), app'(s(), y)) -> app'#(quot(), app'(app'(minus(), x), y)))
     (app'#(app'(quot(), app'(s(), x)), app'(s(), y)) -> app'#(s(), app'(app'(quot(), app'(app'(minus(), x), y)), app'(s(), y))), app'#(app'(quot(), app'(s(), x)), app'(s(), y)) -> app'#(s(), app'(app'(quot(), app'(app'(minus(), x), y)), app'(s(), y))))
     (app'#(app'(quot(), app'(s(), x)), app'(s(), y)) -> app'#(s(), app'(app'(quot(), app'(app'(minus(), x), y)), app'(s(), y))), app'#(app'(quot(), app'(s(), x)), app'(s(), y)) -> app'#(minus(), x))
     (app'#(app'(quot(), app'(s(), x)), app'(s(), y)) -> app'#(s(), app'(app'(quot(), app'(app'(minus(), x), y)), app'(s(), y))), app'#(app'(quot(), app'(s(), x)), app'(s(), y)) -> app'#(app'(quot(), app'(app'(minus(), x), y)), app'(s(), y)))
     (app'#(app'(quot(), app'(s(), x)), app'(s(), y)) -> app'#(s(), app'(app'(quot(), app'(app'(minus(), x), y)), app'(s(), y))), app'#(app'(quot(), app'(s(), x)), app'(s(), y)) -> app'#(app'(minus(), x), y))
     (app'#(app'(quot(), app'(s(), x)), app'(s(), y)) -> app'#(s(), app'(app'(quot(), app'(app'(minus(), x), y)), app'(s(), y))), app'#(app'(plus(), app'(s(), x)), y) -> app'#(plus(), x))
     (app'#(app'(quot(), app'(s(), x)), app'(s(), y)) -> app'#(s(), app'(app'(quot(), app'(app'(minus(), x), y)), app'(s(), y))), app'#(app'(plus(), app'(s(), x)), y) -> app'#(s(), app'(app'(plus(), x), y)))
     (app'#(app'(quot(), app'(s(), x)), app'(s(), y)) -> app'#(s(), app'(app'(quot(), app'(app'(minus(), x), y)), app'(s(), y))), app'#(app'(plus(), app'(s(), x)), y) -> app'#(app'(plus(), x), y))
     (app'#(app'(quot(), app'(s(), x)), app'(s(), y)) -> app'#(s(), app'(app'(quot(), app'(app'(minus(), x), y)), app'(s(), y))), app'#(app'(minus(), app'(s(), x)), app'(s(), y)) -> app'#(minus(), x))
     (app'#(app'(quot(), app'(s(), x)), app'(s(), y)) -> app'#(s(), app'(app'(quot(), app'(app'(minus(), x), y)), app'(s(), y))), app'#(app'(minus(), app'(s(), x)), app'(s(), y)) -> app'#(app'(minus(), x), y))
     (app'#(app'(quot(), app'(s(), x)), app'(s(), y)) -> app'#(s(), app'(app'(quot(), app'(app'(minus(), x), y)), app'(s(), y))), app'#(app'(minus(), app'(app'(minus(), x), y)), z) -> app'#(plus(), y))
     (app'#(app'(quot(), app'(s(), x)), app'(s(), y)) -> app'#(s(), app'(app'(quot(), app'(app'(minus(), x), y)), app'(s(), y))), app'#(app'(minus(), app'(app'(minus(), x), y)), z) -> app'#(app'(plus(), y), z))
     (app'#(app'(quot(), app'(s(), x)), app'(s(), y)) -> app'#(s(), app'(app'(quot(), app'(app'(minus(), x), y)), app'(s(), y))), app'#(app'(minus(), app'(app'(minus(), x), y)), z) -> app'#(app'(minus(), x), app'(app'(plus(), y), z)))
     (app'#(app'(quot(), app'(s(), x)), app'(s(), y)) -> app'#(s(), app'(app'(quot(), app'(app'(minus(), x), y)), app'(s(), y))), app'#(app'(app'(app'(filter2(), false()), f), x), xs) -> app'#(filter(), f))
     (app'#(app'(quot(), app'(s(), x)), app'(s(), y)) -> app'#(s(), app'(app'(quot(), app'(app'(minus(), x), y)), app'(s(), y))), app'#(app'(app'(app'(filter2(), false()), f), x), xs) -> app'#(app'(filter(), f), xs))
     (app'#(app'(quot(), app'(s(), x)), app'(s(), y)) -> app'#(s(), app'(app'(quot(), app'(app'(minus(), x), y)), app'(s(), y))), app'#(app'(app'(app'(filter2(), true()), f), x), xs) -> app'#(filter(), f))
     (app'#(app'(quot(), app'(s(), x)), app'(s(), y)) -> app'#(s(), app'(app'(quot(), app'(app'(minus(), x), y)), app'(s(), y))), app'#(app'(app'(app'(filter2(), true()), f), x), xs) -> app'#(cons(), x))
     (app'#(app'(quot(), app'(s(), x)), app'(s(), y)) -> app'#(s(), app'(app'(quot(), app'(app'(minus(), x), y)), app'(s(), y))), app'#(app'(app'(app'(filter2(), true()), f), x), xs) -> app'#(app'(filter(), f), xs))
     (app'#(app'(quot(), app'(s(), x)), app'(s(), y)) -> app'#(s(), app'(app'(quot(), app'(app'(minus(), x), y)), app'(s(), y))), app'#(app'(app'(app'(filter2(), true()), f), x), xs) -> app'#(app'(cons(), x), app'(app'(filter(), f), xs)))
     (app'#(sum(), app'(app'(app(), l), app'(app'(cons(), x), app'(app'(cons(), y), k)))) -> app'#(sum(), app'(app'(app(), l), app'(sum(), app'(app'(cons(), x), app'(app'(cons(), y), k))))), app'#(sum(), app'(app'(cons(), x), app'(app'(cons(), y), l))) -> app'#(sum(), app'(app'(cons(), app'(app'(plus(), x), y)), l)))
     (app'#(sum(), app'(app'(app(), l), app'(app'(cons(), x), app'(app'(cons(), y), k)))) -> app'#(sum(), app'(app'(app(), l), app'(sum(), app'(app'(cons(), x), app'(app'(cons(), y), k))))), app'#(sum(), app'(app'(cons(), x), app'(app'(cons(), y), l))) -> app'#(cons(), app'(app'(plus(), x), y)))
     (app'#(sum(), app'(app'(app(), l), app'(app'(cons(), x), app'(app'(cons(), y), k)))) -> app'#(sum(), app'(app'(app(), l), app'(sum(), app'(app'(cons(), x), app'(app'(cons(), y), k))))), app'#(sum(), app'(app'(cons(), x), app'(app'(cons(), y), l))) -> app'#(plus(), x))
     (app'#(sum(), app'(app'(app(), l), app'(app'(cons(), x), app'(app'(cons(), y), k)))) -> app'#(sum(), app'(app'(app(), l), app'(sum(), app'(app'(cons(), x), app'(app'(cons(), y), k))))), app'#(sum(), app'(app'(cons(), x), app'(app'(cons(), y), l))) -> app'#(app'(cons(), app'(app'(plus(), x), y)), l))
     (app'#(sum(), app'(app'(app(), l), app'(app'(cons(), x), app'(app'(cons(), y), k)))) -> app'#(sum(), app'(app'(app(), l), app'(sum(), app'(app'(cons(), x), app'(app'(cons(), y), k))))), app'#(sum(), app'(app'(cons(), x), app'(app'(cons(), y), l))) -> app'#(app'(plus(), x), y))
     (app'#(sum(), app'(app'(app(), l), app'(app'(cons(), x), app'(app'(cons(), y), k)))) -> app'#(sum(), app'(app'(app(), l), app'(sum(), app'(app'(cons(), x), app'(app'(cons(), y), k))))), app'#(sum(), app'(app'(app(), l), app'(app'(cons(), x), app'(app'(cons(), y), k)))) -> app'#(sum(), app'(app'(cons(), x), app'(app'(cons(), y), k))))
     (app'#(sum(), app'(app'(app(), l), app'(app'(cons(), x), app'(app'(cons(), y), k)))) -> app'#(sum(), app'(app'(app(), l), app'(sum(), app'(app'(cons(), x), app'(app'(cons(), y), k))))), app'#(sum(), app'(app'(app(), l), app'(app'(cons(), x), app'(app'(cons(), y), k)))) -> app'#(sum(), app'(app'(app(), l), app'(sum(), app'(app'(cons(), x), app'(app'(cons(), y), k))))))
     (app'#(sum(), app'(app'(app(), l), app'(app'(cons(), x), app'(app'(cons(), y), k)))) -> app'#(sum(), app'(app'(app(), l), app'(sum(), app'(app'(cons(), x), app'(app'(cons(), y), k))))), app'#(sum(), app'(app'(app(), l), app'(app'(cons(), x), app'(app'(cons(), y), k)))) -> app'#(app'(app(), l), app'(sum(), app'(app'(cons(), x), app'(app'(cons(), y), k)))))
     (app'#(sum(), app'(app'(app(), l), app'(app'(cons(), x), app'(app'(cons(), y), k)))) -> app'#(sum(), app'(app'(app(), l), app'(sum(), app'(app'(cons(), x), app'(app'(cons(), y), k))))), app'#(app'(filter(), f), app'(app'(cons(), x), xs)) -> app'#(filter2(), app'(f, x)))
     (app'#(sum(), app'(app'(app(), l), app'(app'(cons(), x), app'(app'(cons(), y), k)))) -> app'#(sum(), app'(app'(app(), l), app'(sum(), app'(app'(cons(), x), app'(app'(cons(), y), k))))), app'#(app'(filter(), f), app'(app'(cons(), x), xs)) -> app'#(app'(filter2(), app'(f, x)), f))
     (app'#(sum(), app'(app'(app(), l), app'(app'(cons(), x), app'(app'(cons(), y), k)))) -> app'#(sum(), app'(app'(app(), l), app'(sum(), app'(app'(cons(), x), app'(app'(cons(), y), k))))), app'#(app'(filter(), f), app'(app'(cons(), x), xs)) -> app'#(app'(app'(filter2(), app'(f, x)), f), x))
     (app'#(sum(), app'(app'(app(), l), app'(app'(cons(), x), app'(app'(cons(), y), k)))) -> app'#(sum(), app'(app'(app(), l), app'(sum(), app'(app'(cons(), x), app'(app'(cons(), y), k))))), app'#(app'(filter(), f), app'(app'(cons(), x), xs)) -> app'#(app'(app'(app'(filter2(), app'(f, x)), f), x), xs))
     (app'#(sum(), app'(app'(app(), l), app'(app'(cons(), x), app'(app'(cons(), y), k)))) -> app'#(sum(), app'(app'(app(), l), app'(sum(), app'(app'(cons(), x), app'(app'(cons(), y), k))))), app'#(app'(filter(), f), app'(app'(cons(), x), xs)) -> app'#(f, x))
     (app'#(sum(), app'(app'(app(), l), app'(app'(cons(), x), app'(app'(cons(), y), k)))) -> app'#(sum(), app'(app'(app(), l), app'(sum(), app'(app'(cons(), x), app'(app'(cons(), y), k))))), app'#(app'(map(), f), app'(app'(cons(), x), xs)) -> app'#(cons(), app'(f, x)))
     (app'#(sum(), app'(app'(app(), l), app'(app'(cons(), x), app'(app'(cons(), y), k)))) -> app'#(sum(), app'(app'(app(), l), app'(sum(), app'(app'(cons(), x), app'(app'(cons(), y), k))))), app'#(app'(map(), f), app'(app'(cons(), x), xs)) -> app'#(app'(map(), f), xs))
     (app'#(sum(), app'(app'(app(), l), app'(app'(cons(), x), app'(app'(cons(), y), k)))) -> app'#(sum(), app'(app'(app(), l), app'(sum(), app'(app'(cons(), x), app'(app'(cons(), y), k))))), app'#(app'(map(), f), app'(app'(cons(), x), xs)) -> app'#(app'(cons(), app'(f, x)), app'(app'(map(), f), xs)))
     (app'#(sum(), app'(app'(app(), l), app'(app'(cons(), x), app'(app'(cons(), y), k)))) -> app'#(sum(), app'(app'(app(), l), app'(sum(), app'(app'(cons(), x), app'(app'(cons(), y), k))))), app'#(app'(map(), f), app'(app'(cons(), x), xs)) -> app'#(f, x))
     (app'#(sum(), app'(app'(app(), l), app'(app'(cons(), x), app'(app'(cons(), y), k)))) -> app'#(sum(), app'(app'(app(), l), app'(sum(), app'(app'(cons(), x), app'(app'(cons(), y), k))))), app'#(app'(app(), app'(app'(cons(), x), l)), k) -> app'#(app(), l))
     (app'#(sum(), app'(app'(app(), l), app'(app'(cons(), x), app'(app'(cons(), y), k)))) -> app'#(sum(), app'(app'(app(), l), app'(sum(), app'(app'(cons(), x), app'(app'(cons(), y), k))))), app'#(app'(app(), app'(app'(cons(), x), l)), k) -> app'#(app'(cons(), x), app'(app'(app(), l), k)))
     (app'#(sum(), app'(app'(app(), l), app'(app'(cons(), x), app'(app'(cons(), y), k)))) -> app'#(sum(), app'(app'(app(), l), app'(sum(), app'(app'(cons(), x), app'(app'(cons(), y), k))))), app'#(app'(app(), app'(app'(cons(), x), l)), k) -> app'#(app'(app(), l), k))
     (app'#(sum(), app'(app'(app(), l), app'(app'(cons(), x), app'(app'(cons(), y), k)))) -> app'#(sum(), app'(app'(app(), l), app'(sum(), app'(app'(cons(), x), app'(app'(cons(), y), k))))), app'#(app'(quot(), app'(s(), x)), app'(s(), y)) -> app'#(quot(), app'(app'(minus(), x), y)))
     (app'#(sum(), app'(app'(app(), l), app'(app'(cons(), x), app'(app'(cons(), y), k)))) -> app'#(sum(), app'(app'(app(), l), app'(sum(), app'(app'(cons(), x), app'(app'(cons(), y), k))))), app'#(app'(quot(), app'(s(), x)), app'(s(), y)) -> app'#(s(), app'(app'(quot(), app'(app'(minus(), x), y)), app'(s(), y))))
     (app'#(sum(), app'(app'(app(), l), app'(app'(cons(), x), app'(app'(cons(), y), k)))) -> app'#(sum(), app'(app'(app(), l), app'(sum(), app'(app'(cons(), x), app'(app'(cons(), y), k))))), app'#(app'(quot(), app'(s(), x)), app'(s(), y)) -> app'#(minus(), x))
     (app'#(sum(), app'(app'(app(), l), app'(app'(cons(), x), app'(app'(cons(), y), k)))) -> app'#(sum(), app'(app'(app(), l), app'(sum(), app'(app'(cons(), x), app'(app'(cons(), y), k))))), app'#(app'(quot(), app'(s(), x)), app'(s(), y)) -> app'#(app'(quot(), app'(app'(minus(), x), y)), app'(s(), y)))
     (app'#(sum(), app'(app'(app(), l), app'(app'(cons(), x), app'(app'(cons(), y), k)))) -> app'#(sum(), app'(app'(app(), l), app'(sum(), app'(app'(cons(), x), app'(app'(cons(), y), k))))), app'#(app'(quot(), app'(s(), x)), app'(s(), y)) -> app'#(app'(minus(), x), y))
     (app'#(sum(), app'(app'(app(), l), app'(app'(cons(), x), app'(app'(cons(), y), k)))) -> app'#(sum(), app'(app'(app(), l), app'(sum(), app'(app'(cons(), x), app'(app'(cons(), y), k))))), app'#(app'(plus(), app'(s(), x)), y) -> app'#(plus(), x))
     (app'#(sum(), app'(app'(app(), l), app'(app'(cons(), x), app'(app'(cons(), y), k)))) -> app'#(sum(), app'(app'(app(), l), app'(sum(), app'(app'(cons(), x), app'(app'(cons(), y), k))))), app'#(app'(plus(), app'(s(), x)), y) -> app'#(s(), app'(app'(plus(), x), y)))
     (app'#(sum(), app'(app'(app(), l), app'(app'(cons(), x), app'(app'(cons(), y), k)))) -> app'#(sum(), app'(app'(app(), l), app'(sum(), app'(app'(cons(), x), app'(app'(cons(), y), k))))), app'#(app'(plus(), app'(s(), x)), y) -> app'#(app'(plus(), x), y))
     (app'#(sum(), app'(app'(app(), l), app'(app'(cons(), x), app'(app'(cons(), y), k)))) -> app'#(sum(), app'(app'(app(), l), app'(sum(), app'(app'(cons(), x), app'(app'(cons(), y), k))))), app'#(app'(minus(), app'(s(), x)), app'(s(), y)) -> app'#(minus(), x))
     (app'#(sum(), app'(app'(app(), l), app'(app'(cons(), x), app'(app'(cons(), y), k)))) -> app'#(sum(), app'(app'(app(), l), app'(sum(), app'(app'(cons(), x), app'(app'(cons(), y), k))))), app'#(app'(minus(), app'(s(), x)), app'(s(), y)) -> app'#(app'(minus(), x), y))
     (app'#(sum(), app'(app'(app(), l), app'(app'(cons(), x), app'(app'(cons(), y), k)))) -> app'#(sum(), app'(app'(app(), l), app'(sum(), app'(app'(cons(), x), app'(app'(cons(), y), k))))), app'#(app'(minus(), app'(app'(minus(), x), y)), z) -> app'#(plus(), y))
     (app'#(sum(), app'(app'(app(), l), app'(app'(cons(), x), app'(app'(cons(), y), k)))) -> app'#(sum(), app'(app'(app(), l), app'(sum(), app'(app'(cons(), x), app'(app'(cons(), y), k))))), app'#(app'(minus(), app'(app'(minus(), x), y)), z) -> app'#(app'(plus(), y), z))
     (app'#(sum(), app'(app'(app(), l), app'(app'(cons(), x), app'(app'(cons(), y), k)))) -> app'#(sum(), app'(app'(app(), l), app'(sum(), app'(app'(cons(), x), app'(app'(cons(), y), k))))), app'#(app'(minus(), app'(app'(minus(), x), y)), z) -> app'#(app'(minus(), x), app'(app'(plus(), y), z)))
     (app'#(sum(), app'(app'(app(), l), app'(app'(cons(), x), app'(app'(cons(), y), k)))) -> app'#(sum(), app'(app'(app(), l), app'(sum(), app'(app'(cons(), x), app'(app'(cons(), y), k))))), app'#(app'(app'(app'(filter2(), false()), f), x), xs) -> app'#(filter(), f))
     (app'#(sum(), app'(app'(app(), l), app'(app'(cons(), x), app'(app'(cons(), y), k)))) -> app'#(sum(), app'(app'(app(), l), app'(sum(), app'(app'(cons(), x), app'(app'(cons(), y), k))))), app'#(app'(app'(app'(filter2(), false()), f), x), xs) -> app'#(app'(filter(), f), xs))
     (app'#(sum(), app'(app'(app(), l), app'(app'(cons(), x), app'(app'(cons(), y), k)))) -> app'#(sum(), app'(app'(app(), l), app'(sum(), app'(app'(cons(), x), app'(app'(cons(), y), k))))), app'#(app'(app'(app'(filter2(), true()), f), x), xs) -> app'#(filter(), f))
     (app'#(sum(), app'(app'(app(), l), app'(app'(cons(), x), app'(app'(cons(), y), k)))) -> app'#(sum(), app'(app'(app(), l), app'(sum(), app'(app'(cons(), x), app'(app'(cons(), y), k))))), app'#(app'(app'(app'(filter2(), true()), f), x), xs) -> app'#(cons(), x))
     (app'#(sum(), app'(app'(app(), l), app'(app'(cons(), x), app'(app'(cons(), y), k)))) -> app'#(sum(), app'(app'(app(), l), app'(sum(), app'(app'(cons(), x), app'(app'(cons(), y), k))))), app'#(app'(app'(app'(filter2(), true()), f), x), xs) -> app'#(app'(filter(), f), xs))
     (app'#(sum(), app'(app'(app(), l), app'(app'(cons(), x), app'(app'(cons(), y), k)))) -> app'#(sum(), app'(app'(app(), l), app'(sum(), app'(app'(cons(), x), app'(app'(cons(), y), k))))), app'#(app'(app'(app'(filter2(), true()), f), x), xs) -> app'#(app'(cons(), x), app'(app'(filter(), f), xs)))
     (app'#(app'(minus(), app'(app'(minus(), x), y)), z) -> app'#(app'(plus(), y), z), app'#(sum(), app'(app'(cons(), x), app'(app'(cons(), y), l))) -> app'#(sum(), app'(app'(cons(), app'(app'(plus(), x), y)), l)))
     (app'#(app'(minus(), app'(app'(minus(), x), y)), z) -> app'#(app'(plus(), y), z), app'#(sum(), app'(app'(cons(), x), app'(app'(cons(), y), l))) -> app'#(cons(), app'(app'(plus(), x), y)))
     (app'#(app'(minus(), app'(app'(minus(), x), y)), z) -> app'#(app'(plus(), y), z), app'#(sum(), app'(app'(cons(), x), app'(app'(cons(), y), l))) -> app'#(plus(), x))
     (app'#(app'(minus(), app'(app'(minus(), x), y)), z) -> app'#(app'(plus(), y), z), app'#(sum(), app'(app'(cons(), x), app'(app'(cons(), y), l))) -> app'#(app'(cons(), app'(app'(plus(), x), y)), l))
     (app'#(app'(minus(), app'(app'(minus(), x), y)), z) -> app'#(app'(plus(), y), z), app'#(sum(), app'(app'(cons(), x), app'(app'(cons(), y), l))) -> app'#(app'(plus(), x), y))
     (app'#(app'(minus(), app'(app'(minus(), x), y)), z) -> app'#(app'(plus(), y), z), app'#(sum(), app'(app'(app(), l), app'(app'(cons(), x), app'(app'(cons(), y), k)))) -> app'#(sum(), app'(app'(cons(), x), app'(app'(cons(), y), k))))
     (app'#(app'(minus(), app'(app'(minus(), x), y)), z) -> app'#(app'(plus(), y), z), app'#(sum(), app'(app'(app(), l), app'(app'(cons(), x), app'(app'(cons(), y), k)))) -> app'#(sum(), app'(app'(app(), l), app'(sum(), app'(app'(cons(), x), app'(app'(cons(), y), k))))))
     (app'#(app'(minus(), app'(app'(minus(), x), y)), z) -> app'#(app'(plus(), y), z), app'#(sum(), app'(app'(app(), l), app'(app'(cons(), x), app'(app'(cons(), y), k)))) -> app'#(app'(app(), l), app'(sum(), app'(app'(cons(), x), app'(app'(cons(), y), k)))))
     (app'#(app'(minus(), app'(app'(minus(), x), y)), z) -> app'#(app'(plus(), y), z), app'#(app'(filter(), f), app'(app'(cons(), x), xs)) -> app'#(filter2(), app'(f, x)))
     (app'#(app'(minus(), app'(app'(minus(), x), y)), z) -> app'#(app'(plus(), y), z), app'#(app'(filter(), f), app'(app'(cons(), x), xs)) -> app'#(app'(filter2(), app'(f, x)), f))
     (app'#(app'(minus(), app'(app'(minus(), x), y)), z) -> app'#(app'(plus(), y), z), app'#(app'(filter(), f), app'(app'(cons(), x), xs)) -> app'#(app'(app'(filter2(), app'(f, x)), f), x))
     (app'#(app'(minus(), app'(app'(minus(), x), y)), z) -> app'#(app'(plus(), y), z), app'#(app'(filter(), f), app'(app'(cons(), x), xs)) -> app'#(app'(app'(app'(filter2(), app'(f, x)), f), x), xs))
     (app'#(app'(minus(), app'(app'(minus(), x), y)), z) -> app'#(app'(plus(), y), z), app'#(app'(filter(), f), app'(app'(cons(), x), xs)) -> app'#(f, x))
     (app'#(app'(minus(), app'(app'(minus(), x), y)), z) -> app'#(app'(plus(), y), z), app'#(app'(map(), f), app'(app'(cons(), x), xs)) -> app'#(cons(), app'(f, x)))
     (app'#(app'(minus(), app'(app'(minus(), x), y)), z) -> app'#(app'(plus(), y), z), app'#(app'(map(), f), app'(app'(cons(), x), xs)) -> app'#(app'(map(), f), xs))
     (app'#(app'(minus(), app'(app'(minus(), x), y)), z) -> app'#(app'(plus(), y), z), app'#(app'(map(), f), app'(app'(cons(), x), xs)) -> app'#(app'(cons(), app'(f, x)), app'(app'(map(), f), xs)))
     (app'#(app'(minus(), app'(app'(minus(), x), y)), z) -> app'#(app'(plus(), y), z), app'#(app'(map(), f), app'(app'(cons(), x), xs)) -> app'#(f, x))
     (app'#(app'(minus(), app'(app'(minus(), x), y)), z) -> app'#(app'(plus(), y), z), app'#(app'(app(), app'(app'(cons(), x), l)), k) -> app'#(app(), l))
     (app'#(app'(minus(), app'(app'(minus(), x), y)), z) -> app'#(app'(plus(), y), z), app'#(app'(app(), app'(app'(cons(), x), l)), k) -> app'#(app'(cons(), x), app'(app'(app(), l), k)))
     (app'#(app'(minus(), app'(app'(minus(), x), y)), z) -> app'#(app'(plus(), y), z), app'#(app'(app(), app'(app'(cons(), x), l)), k) -> app'#(app'(app(), l), k))
     (app'#(app'(minus(), app'(app'(minus(), x), y)), z) -> app'#(app'(plus(), y), z), app'#(app'(quot(), app'(s(), x)), app'(s(), y)) -> app'#(quot(), app'(app'(minus(), x), y)))
     (app'#(app'(minus(), app'(app'(minus(), x), y)), z) -> app'#(app'(plus(), y), z), app'#(app'(quot(), app'(s(), x)), app'(s(), y)) -> app'#(s(), app'(app'(quot(), app'(app'(minus(), x), y)), app'(s(), y))))
     (app'#(app'(minus(), app'(app'(minus(), x), y)), z) -> app'#(app'(plus(), y), z), app'#(app'(quot(), app'(s(), x)), app'(s(), y)) -> app'#(minus(), x))
     (app'#(app'(minus(), app'(app'(minus(), x), y)), z) -> app'#(app'(plus(), y), z), app'#(app'(quot(), app'(s(), x)), app'(s(), y)) -> app'#(app'(quot(), app'(app'(minus(), x), y)), app'(s(), y)))
     (app'#(app'(minus(), app'(app'(minus(), x), y)), z) -> app'#(app'(plus(), y), z), app'#(app'(quot(), app'(s(), x)), app'(s(), y)) -> app'#(app'(minus(), x), y))
     (app'#(app'(minus(), app'(app'(minus(), x), y)), z) -> app'#(app'(plus(), y), z), app'#(app'(plus(), app'(s(), x)), y) -> app'#(plus(), x))
     (app'#(app'(minus(), app'(app'(minus(), x), y)), z) -> app'#(app'(plus(), y), z), app'#(app'(plus(), app'(s(), x)), y) -> app'#(s(), app'(app'(plus(), x), y)))
     (app'#(app'(minus(), app'(app'(minus(), x), y)), z) -> app'#(app'(plus(), y), z), app'#(app'(plus(), app'(s(), x)), y) -> app'#(app'(plus(), x), y))
     (app'#(app'(minus(), app'(app'(minus(), x), y)), z) -> app'#(app'(plus(), y), z), app'#(app'(minus(), app'(s(), x)), app'(s(), y)) -> app'#(minus(), x))
     (app'#(app'(minus(), app'(app'(minus(), x), y)), z) -> app'#(app'(plus(), y), z), app'#(app'(minus(), app'(s(), x)), app'(s(), y)) -> app'#(app'(minus(), x), y))
     (app'#(app'(minus(), app'(app'(minus(), x), y)), z) -> app'#(app'(plus(), y), z), app'#(app'(minus(), app'(app'(minus(), x), y)), z) -> app'#(plus(), y))
     (app'#(app'(minus(), app'(app'(minus(), x), y)), z) -> app'#(app'(plus(), y), z), app'#(app'(minus(), app'(app'(minus(), x), y)), z) -> app'#(app'(plus(), y), z))
     (app'#(app'(minus(), app'(app'(minus(), x), y)), z) -> app'#(app'(plus(), y), z), app'#(app'(minus(), app'(app'(minus(), x), y)), z) -> app'#(app'(minus(), x), app'(app'(plus(), y), z)))
     (app'#(app'(minus(), app'(app'(minus(), x), y)), z) -> app'#(app'(plus(), y), z), app'#(app'(app'(app'(filter2(), false()), f), x), xs) -> app'#(filter(), f))
     (app'#(app'(minus(), app'(app'(minus(), x), y)), z) -> app'#(app'(plus(), y), z), app'#(app'(app'(app'(filter2(), false()), f), x), xs) -> app'#(app'(filter(), f), xs))
     (app'#(app'(minus(), app'(app'(minus(), x), y)), z) -> app'#(app'(plus(), y), z), app'#(app'(app'(app'(filter2(), true()), f), x), xs) -> app'#(filter(), f))
     (app'#(app'(minus(), app'(app'(minus(), x), y)), z) -> app'#(app'(plus(), y), z), app'#(app'(app'(app'(filter2(), true()), f), x), xs) -> app'#(cons(), x))
     (app'#(app'(minus(), app'(app'(minus(), x), y)), z) -> app'#(app'(plus(), y), z), app'#(app'(app'(app'(filter2(), true()), f), x), xs) -> app'#(app'(filter(), f), xs))
     (app'#(app'(minus(), app'(app'(minus(), x), y)), z) -> app'#(app'(plus(), y), z), 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'(cons(), x), app'(app'(filter(), f), xs)), app'#(sum(), app'(app'(cons(), x), app'(app'(cons(), y), l))) -> app'#(sum(), app'(app'(cons(), app'(app'(plus(), x), y)), l)))
     (app'#(app'(app'(app'(filter2(), true()), f), x), xs) -> app'#(app'(cons(), x), app'(app'(filter(), f), xs)), app'#(sum(), app'(app'(cons(), x), app'(app'(cons(), y), l))) -> app'#(cons(), app'(app'(plus(), x), y)))
     (app'#(app'(app'(app'(filter2(), true()), f), x), xs) -> app'#(app'(cons(), x), app'(app'(filter(), f), xs)), app'#(sum(), app'(app'(cons(), x), app'(app'(cons(), y), l))) -> app'#(plus(), x))
     (app'#(app'(app'(app'(filter2(), true()), f), x), xs) -> app'#(app'(cons(), x), app'(app'(filter(), f), xs)), app'#(sum(), app'(app'(cons(), x), app'(app'(cons(), y), l))) -> app'#(app'(cons(), app'(app'(plus(), x), y)), l))
     (app'#(app'(app'(app'(filter2(), true()), f), x), xs) -> app'#(app'(cons(), x), app'(app'(filter(), f), xs)), app'#(sum(), app'(app'(cons(), x), app'(app'(cons(), y), l))) -> app'#(app'(plus(), x), y))
     (app'#(app'(app'(app'(filter2(), true()), f), x), xs) -> app'#(app'(cons(), x), app'(app'(filter(), f), xs)), app'#(sum(), app'(app'(app(), l), app'(app'(cons(), x), app'(app'(cons(), y), k)))) -> app'#(sum(), app'(app'(cons(), x), app'(app'(cons(), y), k))))
     (app'#(app'(app'(app'(filter2(), true()), f), x), xs) -> app'#(app'(cons(), x), app'(app'(filter(), f), xs)), app'#(sum(), app'(app'(app(), l), app'(app'(cons(), x), app'(app'(cons(), y), k)))) -> app'#(sum(), app'(app'(app(), l), app'(sum(), app'(app'(cons(), x), app'(app'(cons(), y), k))))))
     (app'#(app'(app'(app'(filter2(), true()), f), x), xs) -> app'#(app'(cons(), x), app'(app'(filter(), f), xs)), app'#(sum(), app'(app'(app(), l), app'(app'(cons(), x), app'(app'(cons(), y), k)))) -> app'#(app'(app(), l), app'(sum(), app'(app'(cons(), x), app'(app'(cons(), y), k)))))
     (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'#(filter2(), 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'#(app'(filter2(), app'(f, x)), f))
     (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'#(app'(app'(filter2(), app'(f, x)), 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'#(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'(filter(), f), app'(app'(cons(), x), xs)) -> app'#(f, x))
     (app'#(app'(app'(app'(filter2(), true()), f), x), xs) -> app'#(app'(cons(), x), app'(app'(filter(), f), xs)), app'#(app'(map(), f), app'(app'(cons(), x), xs)) -> app'#(cons(), 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'#(app'(map(), f), 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'(cons(), app'(f, x)), app'(app'(map(), f), 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'#(f, x))
     (app'#(app'(app'(app'(filter2(), true()), f), x), xs) -> app'#(app'(cons(), x), app'(app'(filter(), f), xs)), app'#(app'(app(), app'(app'(cons(), x), l)), k) -> app'#(app(), l))
     (app'#(app'(app'(app'(filter2(), true()), f), x), xs) -> app'#(app'(cons(), x), app'(app'(filter(), f), xs)), app'#(app'(app(), app'(app'(cons(), x), l)), k) -> app'#(app'(cons(), x), app'(app'(app(), l), k)))
     (app'#(app'(app'(app'(filter2(), true()), f), x), xs) -> app'#(app'(cons(), x), app'(app'(filter(), f), xs)), app'#(app'(app(), app'(app'(cons(), x), l)), k) -> app'#(app'(app(), l), k))
     (app'#(app'(app'(app'(filter2(), true()), f), x), xs) -> app'#(app'(cons(), x), app'(app'(filter(), f), xs)), app'#(app'(quot(), app'(s(), x)), app'(s(), y)) -> app'#(quot(), app'(app'(minus(), x), y)))
     (app'#(app'(app'(app'(filter2(), true()), f), x), xs) -> app'#(app'(cons(), x), app'(app'(filter(), f), xs)), app'#(app'(quot(), app'(s(), x)), app'(s(), y)) -> app'#(s(), app'(app'(quot(), app'(app'(minus(), x), y)), app'(s(), y))))
     (app'#(app'(app'(app'(filter2(), true()), f), x), xs) -> app'#(app'(cons(), x), app'(app'(filter(), f), xs)), app'#(app'(quot(), app'(s(), x)), app'(s(), y)) -> app'#(minus(), x))
     (app'#(app'(app'(app'(filter2(), true()), f), x), xs) -> app'#(app'(cons(), x), app'(app'(filter(), f), xs)), app'#(app'(quot(), app'(s(), x)), app'(s(), y)) -> app'#(app'(quot(), app'(app'(minus(), x), y)), app'(s(), y)))
     (app'#(app'(app'(app'(filter2(), true()), f), x), xs) -> app'#(app'(cons(), x), app'(app'(filter(), f), xs)), app'#(app'(quot(), app'(s(), x)), app'(s(), y)) -> app'#(app'(minus(), x), y))
     (app'#(app'(app'(app'(filter2(), true()), f), x), xs) -> app'#(app'(cons(), x), app'(app'(filter(), f), xs)), app'#(app'(plus(), app'(s(), x)), y) -> app'#(plus(), x))
     (app'#(app'(app'(app'(filter2(), true()), f), x), xs) -> app'#(app'(cons(), x), app'(app'(filter(), f), xs)), app'#(app'(plus(), app'(s(), x)), y) -> app'#(s(), app'(app'(plus(), x), y)))
     (app'#(app'(app'(app'(filter2(), true()), f), x), xs) -> app'#(app'(cons(), x), app'(app'(filter(), f), xs)), app'#(app'(plus(), app'(s(), x)), y) -> app'#(app'(plus(), x), y))
     (app'#(app'(app'(app'(filter2(), true()), f), x), xs) -> app'#(app'(cons(), x), app'(app'(filter(), f), xs)), app'#(app'(minus(), app'(s(), x)), app'(s(), y)) -> app'#(minus(), x))
     (app'#(app'(app'(app'(filter2(), true()), f), x), xs) -> app'#(app'(cons(), x), app'(app'(filter(), f), xs)), app'#(app'(minus(), app'(s(), x)), app'(s(), y)) -> app'#(app'(minus(), x), y))
     (app'#(app'(app'(app'(filter2(), true()), f), x), xs) -> app'#(app'(cons(), x), app'(app'(filter(), f), xs)), app'#(app'(minus(), app'(app'(minus(), x), y)), z) -> app'#(plus(), y))
     (app'#(app'(app'(app'(filter2(), true()), f), x), xs) -> app'#(app'(cons(), x), app'(app'(filter(), f), xs)), app'#(app'(minus(), app'(app'(minus(), x), y)), z) -> app'#(app'(plus(), y), z))
     (app'#(app'(app'(app'(filter2(), true()), f), x), xs) -> app'#(app'(cons(), x), app'(app'(filter(), f), xs)), app'#(app'(minus(), app'(app'(minus(), x), y)), z) -> app'#(app'(minus(), x), app'(app'(plus(), y), z)))
     (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'#(filter(), f))
     (app'#(app'(app'(app'(filter2(), true()), f), x), xs) -> app'#(app'(cons(), x), app'(app'(filter(), f), xs)), app'#(app'(app'(app'(filter2(), false()), f), x), xs) -> app'#(app'(filter(), f), xs))
     (app'#(app'(app'(app'(filter2(), true()), f), x), xs) -> app'#(app'(cons(), x), app'(app'(filter(), f), xs)), app'#(app'(app'(app'(filter2(), true()), f), x), xs) -> app'#(filter(), f))
     (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'#(cons(), x))
     (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'#(app'(cons(), x), app'(app'(filter(), f), xs)), app'#(app'(app'(app'(filter2(), true()), f), x), xs) -> app'#(app'(cons(), x), app'(app'(filter(), f), xs)))
     (app'#(app'(minus(), app'(app'(minus(), x), y)), z) -> app'#(plus(), y), app'#(sum(), app'(app'(cons(), x), app'(app'(cons(), y), l))) -> app'#(sum(), app'(app'(cons(), app'(app'(plus(), x), y)), l)))
     (app'#(app'(minus(), app'(app'(minus(), x), y)), z) -> app'#(plus(), y), app'#(sum(), app'(app'(cons(), x), app'(app'(cons(), y), l))) -> app'#(cons(), app'(app'(plus(), x), y)))
     (app'#(app'(minus(), app'(app'(minus(), x), y)), z) -> app'#(plus(), y), app'#(sum(), app'(app'(cons(), x), app'(app'(cons(), y), l))) -> app'#(plus(), x))
     (app'#(app'(minus(), app'(app'(minus(), x), y)), z) -> app'#(plus(), y), app'#(sum(), app'(app'(cons(), x), app'(app'(cons(), y), l))) -> app'#(app'(cons(), app'(app'(plus(), x), y)), l))
     (app'#(app'(minus(), app'(app'(minus(), x), y)), z) -> app'#(plus(), y), app'#(sum(), app'(app'(cons(), x), app'(app'(cons(), y), l))) -> app'#(app'(plus(), x), y))
     (app'#(app'(minus(), app'(app'(minus(), x), y)), z) -> app'#(plus(), y), app'#(sum(), app'(app'(app(), l), app'(app'(cons(), x), app'(app'(cons(), y), k)))) -> app'#(sum(), app'(app'(cons(), x), app'(app'(cons(), y), k))))
     (app'#(app'(minus(), app'(app'(minus(), x), y)), z) -> app'#(plus(), y), app'#(sum(), app'(app'(app(), l), app'(app'(cons(), x), app'(app'(cons(), y), k)))) -> app'#(sum(), app'(app'(app(), l), app'(sum(), app'(app'(cons(), x), app'(app'(cons(), y), k))))))
     (app'#(app'(minus(), app'(app'(minus(), x), y)), z) -> app'#(plus(), y), app'#(sum(), app'(app'(app(), l), app'(app'(cons(), x), app'(app'(cons(), y), k)))) -> app'#(app'(app(), l), app'(sum(), app'(app'(cons(), x), app'(app'(cons(), y), k)))))
     (app'#(app'(minus(), app'(app'(minus(), x), y)), z) -> app'#(plus(), y), app'#(app'(filter(), f), app'(app'(cons(), x), xs)) -> app'#(filter2(), app'(f, x)))
     (app'#(app'(minus(), app'(app'(minus(), x), y)), z) -> app'#(plus(), y), app'#(app'(filter(), f), app'(app'(cons(), x), xs)) -> app'#(app'(filter2(), app'(f, x)), f))
     (app'#(app'(minus(), app'(app'(minus(), x), y)), z) -> app'#(plus(), y), app'#(app'(filter(), f), app'(app'(cons(), x), xs)) -> app'#(app'(app'(filter2(), app'(f, x)), f), x))
     (app'#(app'(minus(), app'(app'(minus(), x), y)), z) -> app'#(plus(), y), app'#(app'(filter(), f), app'(app'(cons(), x), xs)) -> app'#(app'(app'(app'(filter2(), app'(f, x)), f), x), xs))
     (app'#(app'(minus(), app'(app'(minus(), x), y)), z) -> app'#(plus(), y), app'#(app'(filter(), f), app'(app'(cons(), x), xs)) -> app'#(f, x))
     (app'#(app'(minus(), app'(app'(minus(), x), y)), z) -> app'#(plus(), y), app'#(app'(map(), f), app'(app'(cons(), x), xs)) -> app'#(cons(), app'(f, x)))
     (app'#(app'(minus(), app'(app'(minus(), x), y)), z) -> app'#(plus(), y), app'#(app'(map(), f), app'(app'(cons(), x), xs)) -> app'#(app'(map(), f), xs))
     (app'#(app'(minus(), app'(app'(minus(), x), y)), z) -> app'#(plus(), y), app'#(app'(map(), f), app'(app'(cons(), x), xs)) -> app'#(app'(cons(), app'(f, x)), app'(app'(map(), f), xs)))
     (app'#(app'(minus(), app'(app'(minus(), x), y)), z) -> app'#(plus(), y), app'#(app'(map(), f), app'(app'(cons(), x), xs)) -> app'#(f, x))
     (app'#(app'(minus(), app'(app'(minus(), x), y)), z) -> app'#(plus(), y), app'#(app'(app(), app'(app'(cons(), x), l)), k) -> app'#(app(), l))
     (app'#(app'(minus(), app'(app'(minus(), x), y)), z) -> app'#(plus(), y), app'#(app'(app(), app'(app'(cons(), x), l)), k) -> app'#(app'(cons(), x), app'(app'(app(), l), k)))
     (app'#(app'(minus(), app'(app'(minus(), x), y)), z) -> app'#(plus(), y), app'#(app'(app(), app'(app'(cons(), x), l)), k) -> app'#(app'(app(), l), k))
     (app'#(app'(minus(), app'(app'(minus(), x), y)), z) -> app'#(plus(), y), app'#(app'(quot(), app'(s(), x)), app'(s(), y)) -> app'#(quot(), app'(app'(minus(), x), y)))
     (app'#(app'(minus(), app'(app'(minus(), x), y)), z) -> app'#(plus(), y), app'#(app'(quot(), app'(s(), x)), app'(s(), y)) -> app'#(s(), app'(app'(quot(), app'(app'(minus(), x), y)), app'(s(), y))))
     (app'#(app'(minus(), app'(app'(minus(), x), y)), z) -> app'#(plus(), y), app'#(app'(quot(), app'(s(), x)), app'(s(), y)) -> app'#(minus(), x))
     (app'#(app'(minus(), app'(app'(minus(), x), y)), z) -> app'#(plus(), y), app'#(app'(quot(), app'(s(), x)), app'(s(), y)) -> app'#(app'(quot(), app'(app'(minus(), x), y)), app'(s(), y)))
     (app'#(app'(minus(), app'(app'(minus(), x), y)), z) -> app'#(plus(), y), app'#(app'(quot(), app'(s(), x)), app'(s(), y)) -> app'#(app'(minus(), x), y))
     (app'#(app'(minus(), app'(app'(minus(), x), y)), z) -> app'#(plus(), y), app'#(app'(plus(), app'(s(), x)), y) -> app'#(plus(), x))
     (app'#(app'(minus(), app'(app'(minus(), x), y)), z) -> app'#(plus(), y), app'#(app'(plus(), app'(s(), x)), y) -> app'#(s(), app'(app'(plus(), x), y)))
     (app'#(app'(minus(), app'(app'(minus(), x), y)), z) -> app'#(plus(), y), app'#(app'(plus(), app'(s(), x)), y) -> app'#(app'(plus(), x), y))
     (app'#(app'(minus(), app'(app'(minus(), x), y)), z) -> app'#(plus(), y), app'#(app'(minus(), app'(s(), x)), app'(s(), y)) -> app'#(minus(), x))
     (app'#(app'(minus(), app'(app'(minus(), x), y)), z) -> app'#(plus(), y), app'#(app'(minus(), app'(s(), x)), app'(s(), y)) -> app'#(app'(minus(), x), y))
     (app'#(app'(minus(), app'(app'(minus(), x), y)), z) -> app'#(plus(), y), app'#(app'(minus(), app'(app'(minus(), x), y)), z) -> app'#(plus(), y))
     (app'#(app'(minus(), app'(app'(minus(), x), y)), z) -> app'#(plus(), y), app'#(app'(minus(), app'(app'(minus(), x), y)), z) -> app'#(app'(plus(), y), z))
     (app'#(app'(minus(), app'(app'(minus(), x), y)), z) -> app'#(plus(), y), app'#(app'(minus(), app'(app'(minus(), x), y)), z) -> app'#(app'(minus(), x), app'(app'(plus(), y), z)))
     (app'#(app'(minus(), app'(app'(minus(), x), y)), z) -> app'#(plus(), y), app'#(app'(app'(app'(filter2(), false()), f), x), xs) -> app'#(filter(), f))
     (app'#(app'(minus(), app'(app'(minus(), x), y)), z) -> app'#(plus(), y), app'#(app'(app'(app'(filter2(), false()), f), x), xs) -> app'#(app'(filter(), f), xs))
     (app'#(app'(minus(), app'(app'(minus(), x), y)), z) -> app'#(plus(), y), app'#(app'(app'(app'(filter2(), true()), f), x), xs) -> app'#(filter(), f))
     (app'#(app'(minus(), app'(app'(minus(), x), y)), z) -> app'#(plus(), y), app'#(app'(app'(app'(filter2(), true()), f), x), xs) -> app'#(cons(), x))
     (app'#(app'(minus(), app'(app'(minus(), x), y)), z) -> app'#(plus(), y), app'#(app'(app'(app'(filter2(), true()), f), x), xs) -> app'#(app'(filter(), f), xs))
     (app'#(app'(minus(), app'(app'(minus(), x), y)), z) -> app'#(plus(), y), app'#(app'(app'(app'(filter2(), true()), f), x), xs) -> app'#(app'(cons(), x), app'(app'(filter(), f), xs)))
     (app'#(app'(quot(), app'(s(), x)), app'(s(), y)) -> app'#(app'(quot(), app'(app'(minus(), x), y)), app'(s(), y)), app'#(sum(), app'(app'(cons(), x), app'(app'(cons(), y), l))) -> app'#(sum(), app'(app'(cons(), app'(app'(plus(), x), y)), l)))
     (app'#(app'(quot(), app'(s(), x)), app'(s(), y)) -> app'#(app'(quot(), app'(app'(minus(), x), y)), app'(s(), y)), app'#(sum(), app'(app'(cons(), x), app'(app'(cons(), y), l))) -> app'#(cons(), app'(app'(plus(), x), y)))
     (app'#(app'(quot(), app'(s(), x)), app'(s(), y)) -> app'#(app'(quot(), app'(app'(minus(), x), y)), app'(s(), y)), app'#(sum(), app'(app'(cons(), x), app'(app'(cons(), y), l))) -> app'#(plus(), x))
     (app'#(app'(quot(), app'(s(), x)), app'(s(), y)) -> app'#(app'(quot(), app'(app'(minus(), x), y)), app'(s(), y)), app'#(sum(), app'(app'(cons(), x), app'(app'(cons(), y), l))) -> app'#(app'(cons(), app'(app'(plus(), x), y)), l))
     (app'#(app'(quot(), app'(s(), x)), app'(s(), y)) -> app'#(app'(quot(), app'(app'(minus(), x), y)), app'(s(), y)), app'#(sum(), app'(app'(cons(), x), app'(app'(cons(), y), l))) -> app'#(app'(plus(), x), y))
     (app'#(app'(quot(), app'(s(), x)), app'(s(), y)) -> app'#(app'(quot(), app'(app'(minus(), x), y)), app'(s(), y)), app'#(sum(), app'(app'(app(), l), app'(app'(cons(), x), app'(app'(cons(), y), k)))) -> app'#(sum(), app'(app'(cons(), x), app'(app'(cons(), y), k))))
     (app'#(app'(quot(), app'(s(), x)), app'(s(), y)) -> app'#(app'(quot(), app'(app'(minus(), x), y)), app'(s(), y)), app'#(sum(), app'(app'(app(), l), app'(app'(cons(), x), app'(app'(cons(), y), k)))) -> app'#(sum(), app'(app'(app(), l), app'(sum(), app'(app'(cons(), x), app'(app'(cons(), y), k))))))
     (app'#(app'(quot(), app'(s(), x)), app'(s(), y)) -> app'#(app'(quot(), app'(app'(minus(), x), y)), app'(s(), y)), app'#(sum(), app'(app'(app(), l), app'(app'(cons(), x), app'(app'(cons(), y), k)))) -> app'#(app'(app(), l), app'(sum(), app'(app'(cons(), x), app'(app'(cons(), y), k)))))
     (app'#(app'(quot(), app'(s(), x)), app'(s(), y)) -> app'#(app'(quot(), app'(app'(minus(), x), y)), app'(s(), y)), app'#(app'(filter(), f), app'(app'(cons(), x), xs)) -> app'#(filter2(), app'(f, x)))
     (app'#(app'(quot(), app'(s(), x)), app'(s(), y)) -> app'#(app'(quot(), app'(app'(minus(), x), y)), app'(s(), y)), app'#(app'(filter(), f), app'(app'(cons(), x), xs)) -> app'#(app'(filter2(), app'(f, x)), f))
     (app'#(app'(quot(), app'(s(), x)), app'(s(), y)) -> app'#(app'(quot(), app'(app'(minus(), x), y)), app'(s(), y)), app'#(app'(filter(), f), app'(app'(cons(), x), xs)) -> app'#(app'(app'(filter2(), app'(f, x)), f), x))
     (app'#(app'(quot(), app'(s(), x)), app'(s(), y)) -> app'#(app'(quot(), app'(app'(minus(), x), y)), app'(s(), y)), app'#(app'(filter(), f), app'(app'(cons(), x), xs)) -> app'#(app'(app'(app'(filter2(), app'(f, x)), f), x), xs))
     (app'#(app'(quot(), app'(s(), x)), app'(s(), y)) -> app'#(app'(quot(), app'(app'(minus(), x), y)), app'(s(), y)), app'#(app'(filter(), f), app'(app'(cons(), x), xs)) -> app'#(f, x))
     (app'#(app'(quot(), app'(s(), x)), app'(s(), y)) -> app'#(app'(quot(), app'(app'(minus(), x), y)), app'(s(), y)), app'#(app'(map(), f), app'(app'(cons(), x), xs)) -> app'#(cons(), app'(f, x)))
     (app'#(app'(quot(), app'(s(), x)), app'(s(), y)) -> app'#(app'(quot(), app'(app'(minus(), x), y)), app'(s(), y)), app'#(app'(map(), f), app'(app'(cons(), x), xs)) -> app'#(app'(map(), f), xs))
     (app'#(app'(quot(), app'(s(), x)), app'(s(), y)) -> app'#(app'(quot(), app'(app'(minus(), x), y)), app'(s(), y)), app'#(app'(map(), f), app'(app'(cons(), x), xs)) -> app'#(app'(cons(), app'(f, x)), app'(app'(map(), f), xs)))
     (app'#(app'(quot(), app'(s(), x)), app'(s(), y)) -> app'#(app'(quot(), app'(app'(minus(), x), y)), app'(s(), y)), app'#(app'(map(), f), app'(app'(cons(), x), xs)) -> app'#(f, x))
     (app'#(app'(quot(), app'(s(), x)), app'(s(), y)) -> app'#(app'(quot(), app'(app'(minus(), x), y)), app'(s(), y)), app'#(app'(app(), app'(app'(cons(), x), l)), k) -> app'#(app(), l))
     (app'#(app'(quot(), app'(s(), x)), app'(s(), y)) -> app'#(app'(quot(), app'(app'(minus(), x), y)), app'(s(), y)), app'#(app'(app(), app'(app'(cons(), x), l)), k) -> app'#(app'(cons(), x), app'(app'(app(), l), k)))
     (app'#(app'(quot(), app'(s(), x)), app'(s(), y)) -> app'#(app'(quot(), app'(app'(minus(), x), y)), app'(s(), y)), app'#(app'(app(), app'(app'(cons(), x), l)), k) -> app'#(app'(app(), l), k))
     (app'#(app'(quot(), app'(s(), x)), app'(s(), y)) -> app'#(app'(quot(), app'(app'(minus(), x), y)), app'(s(), y)), app'#(app'(quot(), app'(s(), x)), app'(s(), y)) -> app'#(quot(), app'(app'(minus(), x), y)))
     (app'#(app'(quot(), app'(s(), x)), app'(s(), y)) -> app'#(app'(quot(), app'(app'(minus(), x), y)), app'(s(), y)), app'#(app'(quot(), app'(s(), x)), app'(s(), y)) -> app'#(s(), app'(app'(quot(), app'(app'(minus(), x), y)), app'(s(), y))))
     (app'#(app'(quot(), app'(s(), x)), app'(s(), y)) -> app'#(app'(quot(), app'(app'(minus(), x), y)), app'(s(), y)), app'#(app'(quot(), app'(s(), x)), app'(s(), y)) -> app'#(minus(), x))
     (app'#(app'(quot(), app'(s(), x)), app'(s(), y)) -> app'#(app'(quot(), app'(app'(minus(), x), y)), app'(s(), y)), app'#(app'(quot(), app'(s(), x)), app'(s(), y)) -> app'#(app'(quot(), app'(app'(minus(), x), y)), app'(s(), y)))
     (app'#(app'(quot(), app'(s(), x)), app'(s(), y)) -> app'#(app'(quot(), app'(app'(minus(), x), y)), app'(s(), y)), app'#(app'(quot(), app'(s(), x)), app'(s(), y)) -> app'#(app'(minus(), x), y))
     (app'#(app'(quot(), app'(s(), x)), app'(s(), y)) -> app'#(app'(quot(), app'(app'(minus(), x), y)), app'(s(), y)), app'#(app'(plus(), app'(s(), x)), y) -> app'#(plus(), x))
     (app'#(app'(quot(), app'(s(), x)), app'(s(), y)) -> app'#(app'(quot(), app'(app'(minus(), x), y)), app'(s(), y)), app'#(app'(plus(), app'(s(), x)), y) -> app'#(s(), app'(app'(plus(), x), y)))
     (app'#(app'(quot(), app'(s(), x)), app'(s(), y)) -> app'#(app'(quot(), app'(app'(minus(), x), y)), app'(s(), y)), app'#(app'(plus(), app'(s(), x)), y) -> app'#(app'(plus(), x), y))
     (app'#(app'(quot(), app'(s(), x)), app'(s(), y)) -> app'#(app'(quot(), app'(app'(minus(), x), y)), app'(s(), y)), app'#(app'(minus(), app'(s(), x)), app'(s(), y)) -> app'#(minus(), x))
     (app'#(app'(quot(), app'(s(), x)), app'(s(), y)) -> app'#(app'(quot(), app'(app'(minus(), x), y)), app'(s(), y)), app'#(app'(minus(), app'(s(), x)), app'(s(), y)) -> app'#(app'(minus(), x), y))
     (app'#(app'(quot(), app'(s(), x)), app'(s(), y)) -> app'#(app'(quot(), app'(app'(minus(), x), y)), app'(s(), y)), app'#(app'(minus(), app'(app'(minus(), x), y)), z) -> app'#(plus(), y))
     (app'#(app'(quot(), app'(s(), x)), app'(s(), y)) -> app'#(app'(quot(), app'(app'(minus(), x), y)), app'(s(), y)), app'#(app'(minus(), app'(app'(minus(), x), y)), z) -> app'#(app'(plus(), y), z))
     (app'#(app'(quot(), app'(s(), x)), app'(s(), y)) -> app'#(app'(quot(), app'(app'(minus(), x), y)), app'(s(), y)), app'#(app'(minus(), app'(app'(minus(), x), y)), z) -> app'#(app'(minus(), x), app'(app'(plus(), y), z)))
     (app'#(app'(quot(), app'(s(), x)), app'(s(), y)) -> app'#(app'(quot(), app'(app'(minus(), x), y)), app'(s(), y)), app'#(app'(app'(app'(filter2(), false()), f), x), xs) -> app'#(filter(), f))
     (app'#(app'(quot(), app'(s(), x)), app'(s(), y)) -> app'#(app'(quot(), app'(app'(minus(), x), y)), app'(s(), y)), app'#(app'(app'(app'(filter2(), false()), f), x), xs) -> app'#(app'(filter(), f), xs))
     (app'#(app'(quot(), app'(s(), x)), app'(s(), y)) -> app'#(app'(quot(), app'(app'(minus(), x), y)), app'(s(), y)), app'#(app'(app'(app'(filter2(), true()), f), x), xs) -> app'#(filter(), f))
     (app'#(app'(quot(), app'(s(), x)), app'(s(), y)) -> app'#(app'(quot(), app'(app'(minus(), x), y)), app'(s(), y)), app'#(app'(app'(app'(filter2(), true()), f), x), xs) -> app'#(cons(), x))
     (app'#(app'(quot(), app'(s(), x)), app'(s(), y)) -> app'#(app'(quot(), app'(app'(minus(), x), y)), app'(s(), y)), app'#(app'(app'(app'(filter2(), true()), f), x), xs) -> app'#(app'(filter(), f), xs))
     (app'#(app'(quot(), app'(s(), x)), app'(s(), y)) -> app'#(app'(quot(), app'(app'(minus(), x), y)), app'(s(), y)), app'#(app'(app'(app'(filter2(), true()), f), x), xs) -> app'#(app'(cons(), x), app'(app'(filter(), f), xs)))
     (app'#(app'(app(), app'(app'(cons(), x), l)), k) -> app'#(app'(cons(), x), app'(app'(app(), l), k)), app'#(sum(), app'(app'(cons(), x), app'(app'(cons(), y), l))) -> app'#(sum(), app'(app'(cons(), app'(app'(plus(), x), y)), l)))
     (app'#(app'(app(), app'(app'(cons(), x), l)), k) -> app'#(app'(cons(), x), app'(app'(app(), l), k)), app'#(sum(), app'(app'(cons(), x), app'(app'(cons(), y), l))) -> app'#(cons(), app'(app'(plus(), x), y)))
     (app'#(app'(app(), app'(app'(cons(), x), l)), k) -> app'#(app'(cons(), x), app'(app'(app(), l), k)), app'#(sum(), app'(app'(cons(), x), app'(app'(cons(), y), l))) -> app'#(plus(), x))
     (app'#(app'(app(), app'(app'(cons(), x), l)), k) -> app'#(app'(cons(), x), app'(app'(app(), l), k)), app'#(sum(), app'(app'(cons(), x), app'(app'(cons(), y), l))) -> app'#(app'(cons(), app'(app'(plus(), x), y)), l))
     (app'#(app'(app(), app'(app'(cons(), x), l)), k) -> app'#(app'(cons(), x), app'(app'(app(), l), k)), app'#(sum(), app'(app'(cons(), x), app'(app'(cons(), y), l))) -> app'#(app'(plus(), x), y))
     (app'#(app'(app(), app'(app'(cons(), x), l)), k) -> app'#(app'(cons(), x), app'(app'(app(), l), k)), app'#(sum(), app'(app'(app(), l), app'(app'(cons(), x), app'(app'(cons(), y), k)))) -> app'#(sum(), app'(app'(cons(), x), app'(app'(cons(), y), k))))
     (app'#(app'(app(), app'(app'(cons(), x), l)), k) -> app'#(app'(cons(), x), app'(app'(app(), l), k)), app'#(sum(), app'(app'(app(), l), app'(app'(cons(), x), app'(app'(cons(), y), k)))) -> app'#(sum(), app'(app'(app(), l), app'(sum(), app'(app'(cons(), x), app'(app'(cons(), y), k))))))
     (app'#(app'(app(), app'(app'(cons(), x), l)), k) -> app'#(app'(cons(), x), app'(app'(app(), l), k)), app'#(sum(), app'(app'(app(), l), app'(app'(cons(), x), app'(app'(cons(), y), k)))) -> app'#(app'(app(), l), app'(sum(), app'(app'(cons(), x), app'(app'(cons(), y), k)))))
     (app'#(app'(app(), app'(app'(cons(), x), l)), k) -> app'#(app'(cons(), x), app'(app'(app(), l), k)), app'#(app'(filter(), f), app'(app'(cons(), x), xs)) -> app'#(filter2(), app'(f, x)))
     (app'#(app'(app(), app'(app'(cons(), x), l)), k) -> app'#(app'(cons(), x), app'(app'(app(), l), k)), app'#(app'(filter(), f), app'(app'(cons(), x), xs)) -> app'#(app'(filter2(), app'(f, x)), f))
     (app'#(app'(app(), app'(app'(cons(), x), l)), k) -> app'#(app'(cons(), x), app'(app'(app(), l), k)), app'#(app'(filter(), f), app'(app'(cons(), x), xs)) -> app'#(app'(app'(filter2(), app'(f, x)), f), x))
     (app'#(app'(app(), app'(app'(cons(), x), l)), k) -> app'#(app'(cons(), x), app'(app'(app(), l), k)), app'#(app'(filter(), f), app'(app'(cons(), x), xs)) -> app'#(app'(app'(app'(filter2(), app'(f, x)), f), x), xs))
     (app'#(app'(app(), app'(app'(cons(), x), l)), k) -> app'#(app'(cons(), x), app'(app'(app(), l), k)), app'#(app'(filter(), f), app'(app'(cons(), x), xs)) -> app'#(f, x))
     (app'#(app'(app(), app'(app'(cons(), x), l)), k) -> app'#(app'(cons(), x), app'(app'(app(), l), k)), app'#(app'(map(), f), app'(app'(cons(), x), xs)) -> app'#(cons(), app'(f, x)))
     (app'#(app'(app(), app'(app'(cons(), x), l)), k) -> app'#(app'(cons(), x), app'(app'(app(), l), k)), app'#(app'(map(), f), app'(app'(cons(), x), xs)) -> app'#(app'(map(), f), xs))
     (app'#(app'(app(), app'(app'(cons(), x), l)), k) -> app'#(app'(cons(), x), app'(app'(app(), l), k)), app'#(app'(map(), f), app'(app'(cons(), x), xs)) -> app'#(app'(cons(), app'(f, x)), app'(app'(map(), f), xs)))
     (app'#(app'(app(), app'(app'(cons(), x), l)), k) -> app'#(app'(cons(), x), app'(app'(app(), l), k)), app'#(app'(map(), f), app'(app'(cons(), x), xs)) -> app'#(f, x))
     (app'#(app'(app(), app'(app'(cons(), x), l)), k) -> app'#(app'(cons(), x), app'(app'(app(), l), k)), app'#(app'(app(), app'(app'(cons(), x), l)), k) -> app'#(app(), l))
     (app'#(app'(app(), app'(app'(cons(), x), l)), k) -> app'#(app'(cons(), x), app'(app'(app(), l), k)), app'#(app'(app(), app'(app'(cons(), x), l)), k) -> app'#(app'(cons(), x), app'(app'(app(), l), k)))
     (app'#(app'(app(), app'(app'(cons(), x), l)), k) -> app'#(app'(cons(), x), app'(app'(app(), l), k)), app'#(app'(app(), app'(app'(cons(), x), l)), k) -> app'#(app'(app(), l), k))
     (app'#(app'(app(), app'(app'(cons(), x), l)), k) -> app'#(app'(cons(), x), app'(app'(app(), l), k)), app'#(app'(quot(), app'(s(), x)), app'(s(), y)) -> app'#(quot(), app'(app'(minus(), x), y)))
     (app'#(app'(app(), app'(app'(cons(), x), l)), k) -> app'#(app'(cons(), x), app'(app'(app(), l), k)), app'#(app'(quot(), app'(s(), x)), app'(s(), y)) -> app'#(s(), app'(app'(quot(), app'(app'(minus(), x), y)), app'(s(), y))))
     (app'#(app'(app(), app'(app'(cons(), x), l)), k) -> app'#(app'(cons(), x), app'(app'(app(), l), k)), app'#(app'(quot(), app'(s(), x)), app'(s(), y)) -> app'#(minus(), x))
     (app'#(app'(app(), app'(app'(cons(), x), l)), k) -> app'#(app'(cons(), x), app'(app'(app(), l), k)), app'#(app'(quot(), app'(s(), x)), app'(s(), y)) -> app'#(app'(quot(), app'(app'(minus(), x), y)), app'(s(), y)))
     (app'#(app'(app(), app'(app'(cons(), x), l)), k) -> app'#(app'(cons(), x), app'(app'(app(), l), k)), app'#(app'(quot(), app'(s(), x)), app'(s(), y)) -> app'#(app'(minus(), x), y))
     (app'#(app'(app(), app'(app'(cons(), x), l)), k) -> app'#(app'(cons(), x), app'(app'(app(), l), k)), app'#(app'(plus(), app'(s(), x)), y) -> app'#(plus(), x))
     (app'#(app'(app(), app'(app'(cons(), x), l)), k) -> app'#(app'(cons(), x), app'(app'(app(), l), k)), app'#(app'(plus(), app'(s(), x)), y) -> app'#(s(), app'(app'(plus(), x), y)))
     (app'#(app'(app(), app'(app'(cons(), x), l)), k) -> app'#(app'(cons(), x), app'(app'(app(), l), k)), app'#(app'(plus(), app'(s(), x)), y) -> app'#(app'(plus(), x), y))
     (app'#(app'(app(), app'(app'(cons(), x), l)), k) -> app'#(app'(cons(), x), app'(app'(app(), l), k)), app'#(app'(minus(), app'(s(), x)), app'(s(), y)) -> app'#(minus(), x))
     (app'#(app'(app(), app'(app'(cons(), x), l)), k) -> app'#(app'(cons(), x), app'(app'(app(), l), k)), app'#(app'(minus(), app'(s(), x)), app'(s(), y)) -> app'#(app'(minus(), x), y))
     (app'#(app'(app(), app'(app'(cons(), x), l)), k) -> app'#(app'(cons(), x), app'(app'(app(), l), k)), app'#(app'(minus(), app'(app'(minus(), x), y)), z) -> app'#(plus(), y))
     (app'#(app'(app(), app'(app'(cons(), x), l)), k) -> app'#(app'(cons(), x), app'(app'(app(), l), k)), app'#(app'(minus(), app'(app'(minus(), x), y)), z) -> app'#(app'(plus(), y), z))
     (app'#(app'(app(), app'(app'(cons(), x), l)), k) -> app'#(app'(cons(), x), app'(app'(app(), l), k)), app'#(app'(minus(), app'(app'(minus(), x), y)), z) -> app'#(app'(minus(), x), app'(app'(plus(), y), z)))
     (app'#(app'(app(), app'(app'(cons(), x), l)), k) -> app'#(app'(cons(), x), app'(app'(app(), l), k)), app'#(app'(app'(app'(filter2(), false()), f), x), xs) -> app'#(filter(), f))
     (app'#(app'(app(), app'(app'(cons(), x), l)), k) -> app'#(app'(cons(), x), app'(app'(app(), l), k)), app'#(app'(app'(app'(filter2(), false()), f), x), xs) -> app'#(app'(filter(), f), xs))
     (app'#(app'(app(), app'(app'(cons(), x), l)), k) -> app'#(app'(cons(), x), app'(app'(app(), l), k)), app'#(app'(app'(app'(filter2(), true()), f), x), xs) -> app'#(filter(), f))
     (app'#(app'(app(), app'(app'(cons(), x), l)), k) -> app'#(app'(cons(), x), app'(app'(app(), l), k)), app'#(app'(app'(app'(filter2(), true()), f), x), xs) -> app'#(cons(), x))
     (app'#(app'(app(), app'(app'(cons(), x), l)), k) -> app'#(app'(cons(), x), app'(app'(app(), l), k)), app'#(app'(app'(app'(filter2(), true()), f), x), xs) -> app'#(app'(filter(), f), xs))
     (app'#(app'(app(), app'(app'(cons(), x), l)), k) -> app'#(app'(cons(), x), app'(app'(app(), l), k)), 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'#(cons(), app'(f, x)), app'#(sum(), app'(app'(cons(), x), app'(app'(cons(), y), l))) -> app'#(sum(), app'(app'(cons(), app'(app'(plus(), x), y)), l)))
     (app'#(app'(map(), f), app'(app'(cons(), x), xs)) -> app'#(cons(), app'(f, x)), app'#(sum(), app'(app'(cons(), x), app'(app'(cons(), y), l))) -> app'#(cons(), app'(app'(plus(), x), y)))
     (app'#(app'(map(), f), app'(app'(cons(), x), xs)) -> app'#(cons(), app'(f, x)), app'#(sum(), app'(app'(cons(), x), app'(app'(cons(), y), l))) -> app'#(plus(), x))
     (app'#(app'(map(), f), app'(app'(cons(), x), xs)) -> app'#(cons(), app'(f, x)), app'#(sum(), app'(app'(cons(), x), app'(app'(cons(), y), l))) -> app'#(app'(cons(), app'(app'(plus(), x), y)), l))
     (app'#(app'(map(), f), app'(app'(cons(), x), xs)) -> app'#(cons(), app'(f, x)), app'#(sum(), app'(app'(cons(), x), app'(app'(cons(), y), l))) -> app'#(app'(plus(), x), y))
     (app'#(app'(map(), f), app'(app'(cons(), x), xs)) -> app'#(cons(), app'(f, x)), app'#(sum(), app'(app'(app(), l), app'(app'(cons(), x), app'(app'(cons(), y), k)))) -> app'#(sum(), app'(app'(cons(), x), app'(app'(cons(), y), k))))
     (app'#(app'(map(), f), app'(app'(cons(), x), xs)) -> app'#(cons(), app'(f, x)), app'#(sum(), app'(app'(app(), l), app'(app'(cons(), x), app'(app'(cons(), y), k)))) -> app'#(sum(), app'(app'(app(), l), app'(sum(), app'(app'(cons(), x), app'(app'(cons(), y), k))))))
     (app'#(app'(map(), f), app'(app'(cons(), x), xs)) -> app'#(cons(), app'(f, x)), app'#(sum(), app'(app'(app(), l), app'(app'(cons(), x), app'(app'(cons(), y), k)))) -> app'#(app'(app(), l), app'(sum(), app'(app'(cons(), x), app'(app'(cons(), y), k)))))
     (app'#(app'(map(), f), app'(app'(cons(), x), xs)) -> app'#(cons(), 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'#(cons(), 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'#(cons(), 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'#(cons(), 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'#(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'#(cons(), 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'#(cons(), 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'#(cons(), 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'#(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'#(cons(), app'(f, x)), app'#(app'(app(), app'(app'(cons(), x), l)), k) -> app'#(app(), l))
     (app'#(app'(map(), f), app'(app'(cons(), x), xs)) -> app'#(cons(), app'(f, x)), app'#(app'(app(), app'(app'(cons(), x), l)), k) -> app'#(app'(cons(), x), app'(app'(app(), l), k)))
     (app'#(app'(map(), f), app'(app'(cons(), x), xs)) -> app'#(cons(), app'(f, x)), app'#(app'(app(), app'(app'(cons(), x), l)), k) -> app'#(app'(app(), l), k))
     (app'#(app'(map(), f), app'(app'(cons(), x), xs)) -> app'#(cons(), app'(f, x)), app'#(app'(quot(), app'(s(), x)), app'(s(), y)) -> app'#(quot(), app'(app'(minus(), x), y)))
     (app'#(app'(map(), f), app'(app'(cons(), x), xs)) -> app'#(cons(), app'(f, x)), app'#(app'(quot(), app'(s(), x)), app'(s(), y)) -> app'#(s(), app'(app'(quot(), app'(app'(minus(), x), y)), app'(s(), y))))
     (app'#(app'(map(), f), app'(app'(cons(), x), xs)) -> app'#(cons(), app'(f, x)), app'#(app'(quot(), app'(s(), x)), app'(s(), y)) -> app'#(minus(), x))
     (app'#(app'(map(), f), app'(app'(cons(), x), xs)) -> app'#(cons(), app'(f, x)), app'#(app'(quot(), app'(s(), x)), app'(s(), y)) -> app'#(app'(quot(), app'(app'(minus(), x), y)), app'(s(), y)))
     (app'#(app'(map(), f), app'(app'(cons(), x), xs)) -> app'#(cons(), app'(f, x)), app'#(app'(quot(), app'(s(), x)), app'(s(), y)) -> app'#(app'(minus(), x), y))
     (app'#(app'(map(), f), app'(app'(cons(), x), xs)) -> app'#(cons(), app'(f, x)), app'#(app'(plus(), app'(s(), x)), y) -> app'#(plus(), x))
     (app'#(app'(map(), f), app'(app'(cons(), x), xs)) -> app'#(cons(), app'(f, x)), app'#(app'(plus(), app'(s(), x)), y) -> app'#(s(), app'(app'(plus(), x), y)))
     (app'#(app'(map(), f), app'(app'(cons(), x), xs)) -> app'#(cons(), app'(f, x)), app'#(app'(plus(), app'(s(), x)), y) -> app'#(app'(plus(), x), y))
     (app'#(app'(map(), f), app'(app'(cons(), x), xs)) -> app'#(cons(), app'(f, x)), app'#(app'(minus(), app'(s(), x)), app'(s(), y)) -> app'#(minus(), x))
     (app'#(app'(map(), f), app'(app'(cons(), x), xs)) -> app'#(cons(), app'(f, x)), app'#(app'(minus(), app'(s(), x)), app'(s(), y)) -> app'#(app'(minus(), x), y))
     (app'#(app'(map(), f), app'(app'(cons(), x), xs)) -> app'#(cons(), app'(f, x)), app'#(app'(minus(), app'(app'(minus(), x), y)), z) -> app'#(plus(), y))
     (app'#(app'(map(), f), app'(app'(cons(), x), xs)) -> app'#(cons(), app'(f, x)), app'#(app'(minus(), app'(app'(minus(), x), y)), z) -> app'#(app'(plus(), y), z))
     (app'#(app'(map(), f), app'(app'(cons(), x), xs)) -> app'#(cons(), app'(f, x)), app'#(app'(minus(), app'(app'(minus(), x), y)), z) -> app'#(app'(minus(), x), app'(app'(plus(), y), z)))
     (app'#(app'(map(), f), app'(app'(cons(), x), xs)) -> app'#(cons(), 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'#(cons(), 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'#(cons(), 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'#(cons(), 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'#(cons(), 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'#(cons(), app'(f, x)), app'#(app'(app'(app'(filter2(), true()), f), x), xs) -> app'#(app'(cons(), x), app'(app'(filter(), f), xs)))
     (app'#(sum(), app'(app'(cons(), x), app'(app'(cons(), y), l))) -> app'#(cons(), app'(app'(plus(), x), y)), app'#(sum(), app'(app'(cons(), x), app'(app'(cons(), y), l))) -> app'#(sum(), app'(app'(cons(), app'(app'(plus(), x), y)), l)))
     (app'#(sum(), app'(app'(cons(), x), app'(app'(cons(), y), l))) -> app'#(cons(), app'(app'(plus(), x), y)), app'#(sum(), app'(app'(cons(), x), app'(app'(cons(), y), l))) -> app'#(cons(), app'(app'(plus(), x), y)))
     (app'#(sum(), app'(app'(cons(), x), app'(app'(cons(), y), l))) -> app'#(cons(), app'(app'(plus(), x), y)), app'#(sum(), app'(app'(cons(), x), app'(app'(cons(), y), l))) -> app'#(plus(), x))
     (app'#(sum(), app'(app'(cons(), x), app'(app'(cons(), y), l))) -> app'#(cons(), app'(app'(plus(), x), y)), app'#(sum(), app'(app'(cons(), x), app'(app'(cons(), y), l))) -> app'#(app'(cons(), app'(app'(plus(), x), y)), l))
     (app'#(sum(), app'(app'(cons(), x), app'(app'(cons(), y), l))) -> app'#(cons(), app'(app'(plus(), x), y)), app'#(sum(), app'(app'(cons(), x), app'(app'(cons(), y), l))) -> app'#(app'(plus(), x), y))
     (app'#(sum(), app'(app'(cons(), x), app'(app'(cons(), y), l))) -> app'#(cons(), app'(app'(plus(), x), y)), app'#(sum(), app'(app'(app(), l), app'(app'(cons(), x), app'(app'(cons(), y), k)))) -> app'#(sum(), app'(app'(cons(), x), app'(app'(cons(), y), k))))
     (app'#(sum(), app'(app'(cons(), x), app'(app'(cons(), y), l))) -> app'#(cons(), app'(app'(plus(), x), y)), app'#(sum(), app'(app'(app(), l), app'(app'(cons(), x), app'(app'(cons(), y), k)))) -> app'#(sum(), app'(app'(app(), l), app'(sum(), app'(app'(cons(), x), app'(app'(cons(), y), k))))))
     (app'#(sum(), app'(app'(cons(), x), app'(app'(cons(), y), l))) -> app'#(cons(), app'(app'(plus(), x), y)), app'#(sum(), app'(app'(app(), l), app'(app'(cons(), x), app'(app'(cons(), y), k)))) -> app'#(app'(app(), l), app'(sum(), app'(app'(cons(), x), app'(app'(cons(), y), k)))))
     (app'#(sum(), app'(app'(cons(), x), app'(app'(cons(), y), l))) -> app'#(cons(), app'(app'(plus(), x), y)), app'#(app'(filter(), f), app'(app'(cons(), x), xs)) -> app'#(filter2(), app'(f, x)))
     (app'#(sum(), app'(app'(cons(), x), app'(app'(cons(), y), l))) -> app'#(cons(), app'(app'(plus(), x), y)), app'#(app'(filter(), f), app'(app'(cons(), x), xs)) -> app'#(app'(filter2(), app'(f, x)), f))
     (app'#(sum(), app'(app'(cons(), x), app'(app'(cons(), y), l))) -> app'#(cons(), app'(app'(plus(), x), y)), app'#(app'(filter(), f), app'(app'(cons(), x), xs)) -> app'#(app'(app'(filter2(), app'(f, x)), f), x))
     (app'#(sum(), app'(app'(cons(), x), app'(app'(cons(), y), l))) -> app'#(cons(), app'(app'(plus(), x), y)), app'#(app'(filter(), f), app'(app'(cons(), x), xs)) -> app'#(app'(app'(app'(filter2(), app'(f, x)), f), x), xs))
     (app'#(sum(), app'(app'(cons(), x), app'(app'(cons(), y), l))) -> app'#(cons(), app'(app'(plus(), x), y)), app'#(app'(filter(), f), app'(app'(cons(), x), xs)) -> app'#(f, x))
     (app'#(sum(), app'(app'(cons(), x), app'(app'(cons(), y), l))) -> app'#(cons(), app'(app'(plus(), x), y)), app'#(app'(map(), f), app'(app'(cons(), x), xs)) -> app'#(cons(), app'(f, x)))
     (app'#(sum(), app'(app'(cons(), x), app'(app'(cons(), y), l))) -> app'#(cons(), app'(app'(plus(), x), y)), app'#(app'(map(), f), app'(app'(cons(), x), xs)) -> app'#(app'(map(), f), xs))
     (app'#(sum(), app'(app'(cons(), x), app'(app'(cons(), y), l))) -> app'#(cons(), app'(app'(plus(), x), y)), app'#(app'(map(), f), app'(app'(cons(), x), xs)) -> app'#(app'(cons(), app'(f, x)), app'(app'(map(), f), xs)))
     (app'#(sum(), app'(app'(cons(), x), app'(app'(cons(), y), l))) -> app'#(cons(), app'(app'(plus(), x), y)), app'#(app'(map(), f), app'(app'(cons(), x), xs)) -> app'#(f, x))
     (app'#(sum(), app'(app'(cons(), x), app'(app'(cons(), y), l))) -> app'#(cons(), app'(app'(plus(), x), y)), app'#(app'(app(), app'(app'(cons(), x), l)), k) -> app'#(app(), l))
     (app'#(sum(), app'(app'(cons(), x), app'(app'(cons(), y), l))) -> app'#(cons(), app'(app'(plus(), x), y)), app'#(app'(app(), app'(app'(cons(), x), l)), k) -> app'#(app'(cons(), x), app'(app'(app(), l), k)))
     (app'#(sum(), app'(app'(cons(), x), app'(app'(cons(), y), l))) -> app'#(cons(), app'(app'(plus(), x), y)), app'#(app'(app(), app'(app'(cons(), x), l)), k) -> app'#(app'(app(), l), k))
     (app'#(sum(), app'(app'(cons(), x), app'(app'(cons(), y), l))) -> app'#(cons(), app'(app'(plus(), x), y)), app'#(app'(quot(), app'(s(), x)), app'(s(), y)) -> app'#(quot(), app'(app'(minus(), x), y)))
     (app'#(sum(), app'(app'(cons(), x), app'(app'(cons(), y), l))) -> app'#(cons(), app'(app'(plus(), x), y)), app'#(app'(quot(), app'(s(), x)), app'(s(), y)) -> app'#(s(), app'(app'(quot(), app'(app'(minus(), x), y)), app'(s(), y))))
     (app'#(sum(), app'(app'(cons(), x), app'(app'(cons(), y), l))) -> app'#(cons(), app'(app'(plus(), x), y)), app'#(app'(quot(), app'(s(), x)), app'(s(), y)) -> app'#(minus(), x))
     (app'#(sum(), app'(app'(cons(), x), app'(app'(cons(), y), l))) -> app'#(cons(), app'(app'(plus(), x), y)), app'#(app'(quot(), app'(s(), x)), app'(s(), y)) -> app'#(app'(quot(), app'(app'(minus(), x), y)), app'(s(), y)))
     (app'#(sum(), app'(app'(cons(), x), app'(app'(cons(), y), l))) -> app'#(cons(), app'(app'(plus(), x), y)), app'#(app'(quot(), app'(s(), x)), app'(s(), y)) -> app'#(app'(minus(), x), y))
     (app'#(sum(), app'(app'(cons(), x), app'(app'(cons(), y), l))) -> app'#(cons(), app'(app'(plus(), x), y)), app'#(app'(plus(), app'(s(), x)), y) -> app'#(plus(), x))
     (app'#(sum(), app'(app'(cons(), x), app'(app'(cons(), y), l))) -> app'#(cons(), app'(app'(plus(), x), y)), app'#(app'(plus(), app'(s(), x)), y) -> app'#(s(), app'(app'(plus(), x), y)))
     (app'#(sum(), app'(app'(cons(), x), app'(app'(cons(), y), l))) -> app'#(cons(), app'(app'(plus(), x), y)), app'#(app'(plus(), app'(s(), x)), y) -> app'#(app'(plus(), x), y))
     (app'#(sum(), app'(app'(cons(), x), app'(app'(cons(), y), l))) -> app'#(cons(), app'(app'(plus(), x), y)), app'#(app'(minus(), app'(s(), x)), app'(s(), y)) -> app'#(minus(), x))
     (app'#(sum(), app'(app'(cons(), x), app'(app'(cons(), y), l))) -> app'#(cons(), app'(app'(plus(), x), y)), app'#(app'(minus(), app'(s(), x)), app'(s(), y)) -> app'#(app'(minus(), x), y))
     (app'#(sum(), app'(app'(cons(), x), app'(app'(cons(), y), l))) -> app'#(cons(), app'(app'(plus(), x), y)), app'#(app'(minus(), app'(app'(minus(), x), y)), z) -> app'#(plus(), y))
     (app'#(sum(), app'(app'(cons(), x), app'(app'(cons(), y), l))) -> app'#(cons(), app'(app'(plus(), x), y)), app'#(app'(minus(), app'(app'(minus(), x), y)), z) -> app'#(app'(plus(), y), z))
     (app'#(sum(), app'(app'(cons(), x), app'(app'(cons(), y), l))) -> app'#(cons(), app'(app'(plus(), x), y)), app'#(app'(minus(), app'(app'(minus(), x), y)), z) -> app'#(app'(minus(), x), app'(app'(plus(), y), z)))
     (app'#(sum(), app'(app'(cons(), x), app'(app'(cons(), y), l))) -> app'#(cons(), app'(app'(plus(), x), y)), app'#(app'(app'(app'(filter2(), false()), f), x), xs) -> app'#(filter(), f))
     (app'#(sum(), app'(app'(cons(), x), app'(app'(cons(), y), l))) -> app'#(cons(), app'(app'(plus(), x), y)), app'#(app'(app'(app'(filter2(), false()), f), x), xs) -> app'#(app'(filter(), f), xs))
     (app'#(sum(), app'(app'(cons(), x), app'(app'(cons(), y), l))) -> app'#(cons(), app'(app'(plus(), x), y)), app'#(app'(app'(app'(filter2(), true()), f), x), xs) -> app'#(filter(), f))
     (app'#(sum(), app'(app'(cons(), x), app'(app'(cons(), y), l))) -> app'#(cons(), app'(app'(plus(), x), y)), app'#(app'(app'(app'(filter2(), true()), f), x), xs) -> app'#(cons(), x))
     (app'#(sum(), app'(app'(cons(), x), app'(app'(cons(), y), l))) -> app'#(cons(), app'(app'(plus(), x), y)), app'#(app'(app'(app'(filter2(), true()), f), x), xs) -> app'#(app'(filter(), f), xs))
     (app'#(sum(), app'(app'(cons(), x), app'(app'(cons(), y), l))) -> app'#(cons(), app'(app'(plus(), x), y)), 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'#(filter(), f), app'#(sum(), app'(app'(cons(), x), app'(app'(cons(), y), l))) -> app'#(sum(), app'(app'(cons(), app'(app'(plus(), x), y)), l)))
     (app'#(app'(app'(app'(filter2(), true()), f), x), xs) -> app'#(filter(), f), app'#(sum(), app'(app'(cons(), x), app'(app'(cons(), y), l))) -> app'#(cons(), app'(app'(plus(), x), y)))
     (app'#(app'(app'(app'(filter2(), true()), f), x), xs) -> app'#(filter(), f), app'#(sum(), app'(app'(cons(), x), app'(app'(cons(), y), l))) -> app'#(plus(), x))
     (app'#(app'(app'(app'(filter2(), true()), f), x), xs) -> app'#(filter(), f), app'#(sum(), app'(app'(cons(), x), app'(app'(cons(), y), l))) -> app'#(app'(cons(), app'(app'(plus(), x), y)), l))
     (app'#(app'(app'(app'(filter2(), true()), f), x), xs) -> app'#(filter(), f), app'#(sum(), app'(app'(cons(), x), app'(app'(cons(), y), l))) -> app'#(app'(plus(), x), y))
     (app'#(app'(app'(app'(filter2(), true()), f), x), xs) -> app'#(filter(), f), app'#(sum(), app'(app'(app(), l), app'(app'(cons(), x), app'(app'(cons(), y), k)))) -> app'#(sum(), app'(app'(cons(), x), app'(app'(cons(), y), k))))
     (app'#(app'(app'(app'(filter2(), true()), f), x), xs) -> app'#(filter(), f), app'#(sum(), app'(app'(app(), l), app'(app'(cons(), x), app'(app'(cons(), y), k)))) -> app'#(sum(), app'(app'(app(), l), app'(sum(), app'(app'(cons(), x), app'(app'(cons(), y), k))))))
     (app'#(app'(app'(app'(filter2(), true()), f), x), xs) -> app'#(filter(), f), app'#(sum(), app'(app'(app(), l), app'(app'(cons(), x), app'(app'(cons(), y), k)))) -> app'#(app'(app(), l), app'(sum(), app'(app'(cons(), x), app'(app'(cons(), y), k)))))
     (app'#(app'(app'(app'(filter2(), true()), f), x), xs) -> app'#(filter(), f), app'#(app'(filter(), f), app'(app'(cons(), x), xs)) -> app'#(filter2(), 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'#(app'(filter2(), app'(f, x)), f))
     (app'#(app'(app'(app'(filter2(), true()), f), x), xs) -> app'#(filter(), f), 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'#(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'#(filter(), f), 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'(map(), f), app'(app'(cons(), x), xs)) -> app'#(cons(), 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'#(app'(map(), f), xs))
     (app'#(app'(app'(app'(filter2(), true()), f), x), xs) -> app'#(filter(), f), app'#(app'(map(), f), app'(app'(cons(), x), xs)) -> app'#(app'(cons(), app'(f, x)), app'(app'(map(), f), xs)))
     (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'#(filter(), f), app'#(app'(app(), app'(app'(cons(), x), l)), k) -> app'#(app(), l))
     (app'#(app'(app'(app'(filter2(), true()), f), x), xs) -> app'#(filter(), f), app'#(app'(app(), app'(app'(cons(), x), l)), k) -> app'#(app'(cons(), x), app'(app'(app(), l), k)))
     (app'#(app'(app'(app'(filter2(), true()), f), x), xs) -> app'#(filter(), f), app'#(app'(app(), app'(app'(cons(), x), l)), k) -> app'#(app'(app(), l), k))
     (app'#(app'(app'(app'(filter2(), true()), f), x), xs) -> app'#(filter(), f), app'#(app'(quot(), app'(s(), x)), app'(s(), y)) -> app'#(quot(), app'(app'(minus(), x), y)))
     (app'#(app'(app'(app'(filter2(), true()), f), x), xs) -> app'#(filter(), f), app'#(app'(quot(), app'(s(), x)), app'(s(), y)) -> app'#(s(), app'(app'(quot(), app'(app'(minus(), x), y)), app'(s(), y))))
     (app'#(app'(app'(app'(filter2(), true()), f), x), xs) -> app'#(filter(), f), app'#(app'(quot(), app'(s(), x)), app'(s(), y)) -> app'#(minus(), x))
     (app'#(app'(app'(app'(filter2(), true()), f), x), xs) -> app'#(filter(), f), app'#(app'(quot(), app'(s(), x)), app'(s(), y)) -> app'#(app'(quot(), app'(app'(minus(), x), y)), app'(s(), y)))
     (app'#(app'(app'(app'(filter2(), true()), f), x), xs) -> app'#(filter(), f), app'#(app'(quot(), app'(s(), x)), app'(s(), y)) -> app'#(app'(minus(), x), y))
     (app'#(app'(app'(app'(filter2(), true()), f), x), xs) -> app'#(filter(), f), app'#(app'(plus(), app'(s(), x)), y) -> app'#(plus(), x))
     (app'#(app'(app'(app'(filter2(), true()), f), x), xs) -> app'#(filter(), f), app'#(app'(plus(), app'(s(), x)), y) -> app'#(s(), app'(app'(plus(), x), y)))
     (app'#(app'(app'(app'(filter2(), true()), f), x), xs) -> app'#(filter(), f), app'#(app'(plus(), app'(s(), x)), y) -> app'#(app'(plus(), x), y))
     (app'#(app'(app'(app'(filter2(), true()), f), x), xs) -> app'#(filter(), f), app'#(app'(minus(), app'(s(), x)), app'(s(), y)) -> app'#(minus(), x))
     (app'#(app'(app'(app'(filter2(), true()), f), x), xs) -> app'#(filter(), f), app'#(app'(minus(), app'(s(), x)), app'(s(), y)) -> app'#(app'(minus(), x), y))
     (app'#(app'(app'(app'(filter2(), true()), f), x), xs) -> app'#(filter(), f), app'#(app'(minus(), app'(app'(minus(), x), y)), z) -> app'#(plus(), y))
     (app'#(app'(app'(app'(filter2(), true()), f), x), xs) -> app'#(filter(), f), app'#(app'(minus(), app'(app'(minus(), x), y)), z) -> app'#(app'(plus(), y), z))
     (app'#(app'(app'(app'(filter2(), true()), f), x), xs) -> app'#(filter(), f), app'#(app'(minus(), app'(app'(minus(), x), y)), z) -> app'#(app'(minus(), x), app'(app'(plus(), y), z)))
     (app'#(app'(app'(app'(filter2(), true()), f), x), xs) -> app'#(filter(), f), app'#(app'(app'(app'(filter2(), false()), f), x), xs) -> app'#(filter(), f))
     (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(), true()), f), x), xs) -> app'#(filter(), f), app'#(app'(app'(app'(filter2(), true()), f), x), xs) -> app'#(filter(), f))
     (app'#(app'(app'(app'(filter2(), true()), f), x), xs) -> app'#(filter(), f), 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(), true()), f), x), xs) -> app'#(app'(filter(), f), xs))
     (app'#(app'(app'(app'(filter2(), true()), f), x), xs) -> app'#(filter(), f), 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'#(app'(app'(filter2(), app'(f, x)), f), x), app'#(sum(), app'(app'(cons(), x), app'(app'(cons(), y), l))) -> app'#(sum(), app'(app'(cons(), app'(app'(plus(), x), y)), l)))
     (app'#(app'(filter(), f), app'(app'(cons(), x), xs)) -> app'#(app'(app'(filter2(), app'(f, x)), f), x), app'#(sum(), app'(app'(cons(), x), app'(app'(cons(), y), l))) -> app'#(cons(), app'(app'(plus(), x), y)))
     (app'#(app'(filter(), f), app'(app'(cons(), x), xs)) -> app'#(app'(app'(filter2(), app'(f, x)), f), x), app'#(sum(), app'(app'(cons(), x), app'(app'(cons(), y), l))) -> app'#(plus(), x))
     (app'#(app'(filter(), f), app'(app'(cons(), x), xs)) -> app'#(app'(app'(filter2(), app'(f, x)), f), x), app'#(sum(), app'(app'(cons(), x), app'(app'(cons(), y), l))) -> app'#(app'(cons(), app'(app'(plus(), x), y)), l))
     (app'#(app'(filter(), f), app'(app'(cons(), x), xs)) -> app'#(app'(app'(filter2(), app'(f, x)), f), x), app'#(sum(), app'(app'(cons(), x), app'(app'(cons(), y), l))) -> app'#(app'(plus(), x), y))
     (app'#(app'(filter(), f), app'(app'(cons(), x), xs)) -> app'#(app'(app'(filter2(), app'(f, x)), f), x), app'#(sum(), app'(app'(app(), l), app'(app'(cons(), x), app'(app'(cons(), y), k)))) -> app'#(sum(), app'(app'(cons(), x), app'(app'(cons(), y), k))))
     (app'#(app'(filter(), f), app'(app'(cons(), x), xs)) -> app'#(app'(app'(filter2(), app'(f, x)), f), x), app'#(sum(), app'(app'(app(), l), app'(app'(cons(), x), app'(app'(cons(), y), k)))) -> app'#(sum(), app'(app'(app(), l), app'(sum(), app'(app'(cons(), x), app'(app'(cons(), y), k))))))
     (app'#(app'(filter(), f), app'(app'(cons(), x), xs)) -> app'#(app'(app'(filter2(), app'(f, x)), f), x), app'#(sum(), app'(app'(app(), l), app'(app'(cons(), x), app'(app'(cons(), y), k)))) -> app'#(app'(app(), l), app'(sum(), app'(app'(cons(), x), app'(app'(cons(), y), k)))))
     (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'#(filter2(), 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'#(app'(filter2(), app'(f, x)), f))
     (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'(app'(filter2(), app'(f, x)), 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'#(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'#(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'#(cons(), 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'#(app'(map(), f), xs))
     (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'#(app'(cons(), app'(f, x)), app'(app'(map(), f), xs)))
     (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'(filter2(), app'(f, x)), f), x), app'#(app'(app(), app'(app'(cons(), x), l)), k) -> app'#(app(), l))
     (app'#(app'(filter(), f), app'(app'(cons(), x), xs)) -> app'#(app'(app'(filter2(), app'(f, x)), f), x), app'#(app'(app(), app'(app'(cons(), x), l)), k) -> app'#(app'(cons(), x), app'(app'(app(), l), k)))
     (app'#(app'(filter(), f), app'(app'(cons(), x), xs)) -> app'#(app'(app'(filter2(), app'(f, x)), f), x), app'#(app'(app(), app'(app'(cons(), x), l)), k) -> app'#(app'(app(), l), k))
     (app'#(app'(filter(), f), app'(app'(cons(), x), xs)) -> app'#(app'(app'(filter2(), app'(f, x)), f), x), app'#(app'(quot(), app'(s(), x)), app'(s(), y)) -> app'#(quot(), app'(app'(minus(), x), y)))
     (app'#(app'(filter(), f), app'(app'(cons(), x), xs)) -> app'#(app'(app'(filter2(), app'(f, x)), f), x), app'#(app'(quot(), app'(s(), x)), app'(s(), y)) -> app'#(s(), app'(app'(quot(), app'(app'(minus(), x), y)), app'(s(), y))))
     (app'#(app'(filter(), f), app'(app'(cons(), x), xs)) -> app'#(app'(app'(filter2(), app'(f, x)), f), x), app'#(app'(quot(), app'(s(), x)), app'(s(), y)) -> app'#(minus(), x))
     (app'#(app'(filter(), f), app'(app'(cons(), x), xs)) -> app'#(app'(app'(filter2(), app'(f, x)), f), x), app'#(app'(quot(), app'(s(), x)), app'(s(), y)) -> app'#(app'(quot(), app'(app'(minus(), x), y)), app'(s(), y)))
     (app'#(app'(filter(), f), app'(app'(cons(), x), xs)) -> app'#(app'(app'(filter2(), app'(f, x)), f), x), app'#(app'(quot(), app'(s(), x)), app'(s(), y)) -> app'#(app'(minus(), x), y))
     (app'#(app'(filter(), f), app'(app'(cons(), x), xs)) -> app'#(app'(app'(filter2(), app'(f, x)), f), x), app'#(app'(plus(), app'(s(), x)), y) -> app'#(plus(), x))
     (app'#(app'(filter(), f), app'(app'(cons(), x), xs)) -> app'#(app'(app'(filter2(), app'(f, x)), f), x), app'#(app'(plus(), app'(s(), x)), y) -> app'#(s(), app'(app'(plus(), x), y)))
     (app'#(app'(filter(), f), app'(app'(cons(), x), xs)) -> app'#(app'(app'(filter2(), app'(f, x)), f), x), app'#(app'(plus(), app'(s(), x)), y) -> app'#(app'(plus(), x), y))
     (app'#(app'(filter(), f), app'(app'(cons(), x), xs)) -> app'#(app'(app'(filter2(), app'(f, x)), f), x), app'#(app'(minus(), app'(s(), x)), app'(s(), y)) -> app'#(minus(), x))
     (app'#(app'(filter(), f), app'(app'(cons(), x), xs)) -> app'#(app'(app'(filter2(), app'(f, x)), f), x), app'#(app'(minus(), app'(s(), x)), app'(s(), y)) -> app'#(app'(minus(), x), y))
     (app'#(app'(filter(), f), app'(app'(cons(), x), xs)) -> app'#(app'(app'(filter2(), app'(f, x)), f), x), app'#(app'(minus(), app'(app'(minus(), x), y)), z) -> app'#(plus(), y))
     (app'#(app'(filter(), f), app'(app'(cons(), x), xs)) -> app'#(app'(app'(filter2(), app'(f, x)), f), x), app'#(app'(minus(), app'(app'(minus(), x), y)), z) -> app'#(app'(plus(), y), z))
     (app'#(app'(filter(), f), app'(app'(cons(), x), xs)) -> app'#(app'(app'(filter2(), app'(f, x)), f), x), app'#(app'(minus(), app'(app'(minus(), x), y)), z) -> app'#(app'(minus(), x), app'(app'(plus(), y), z)))
     (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'#(filter(), f))
     (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'(filter2(), app'(f, x)), f), x), app'#(app'(app'(app'(filter2(), true()), f), x), xs) -> app'#(filter(), f))
     (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'#(cons(), x))
     (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'(app'(filter2(), app'(f, x)), f), x), 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'#(cons(), x), app'#(sum(), app'(app'(cons(), x), app'(app'(cons(), y), l))) -> app'#(sum(), app'(app'(cons(), app'(app'(plus(), x), y)), l)))
     (app'#(app'(app'(app'(filter2(), true()), f), x), xs) -> app'#(cons(), x), app'#(sum(), app'(app'(cons(), x), app'(app'(cons(), y), l))) -> app'#(cons(), app'(app'(plus(), x), y)))
     (app'#(app'(app'(app'(filter2(), true()), f), x), xs) -> app'#(cons(), x), app'#(sum(), app'(app'(cons(), x), app'(app'(cons(), y), l))) -> app'#(plus(), x))
     (app'#(app'(app'(app'(filter2(), true()), f), x), xs) -> app'#(cons(), x), app'#(sum(), app'(app'(cons(), x), app'(app'(cons(), y), l))) -> app'#(app'(cons(), app'(app'(plus(), x), y)), l))
     (app'#(app'(app'(app'(filter2(), true()), f), x), xs) -> app'#(cons(), x), app'#(sum(), app'(app'(cons(), x), app'(app'(cons(), y), l))) -> app'#(app'(plus(), x), y))
     (app'#(app'(app'(app'(filter2(), true()), f), x), xs) -> app'#(cons(), x), app'#(sum(), app'(app'(app(), l), app'(app'(cons(), x), app'(app'(cons(), y), k)))) -> app'#(sum(), app'(app'(cons(), x), app'(app'(cons(), y), k))))
     (app'#(app'(app'(app'(filter2(), true()), f), x), xs) -> app'#(cons(), x), app'#(sum(), app'(app'(app(), l), app'(app'(cons(), x), app'(app'(cons(), y), k)))) -> app'#(sum(), app'(app'(app(), l), app'(sum(), app'(app'(cons(), x), app'(app'(cons(), y), k))))))
     (app'#(app'(app'(app'(filter2(), true()), f), x), xs) -> app'#(cons(), x), app'#(sum(), app'(app'(app(), l), app'(app'(cons(), x), app'(app'(cons(), y), k)))) -> app'#(app'(app(), l), app'(sum(), app'(app'(cons(), x), app'(app'(cons(), y), k)))))
     (app'#(app'(app'(app'(filter2(), true()), f), x), xs) -> app'#(cons(), x), app'#(app'(filter(), f), app'(app'(cons(), x), xs)) -> app'#(filter2(), 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'#(app'(filter2(), app'(f, x)), f))
     (app'#(app'(app'(app'(filter2(), true()), f), x), xs) -> app'#(cons(), x), 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'#(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'#(cons(), x), 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'(map(), f), app'(app'(cons(), x), xs)) -> app'#(cons(), 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'#(app'(map(), f), xs))
     (app'#(app'(app'(app'(filter2(), true()), f), x), xs) -> app'#(cons(), x), app'#(app'(map(), f), app'(app'(cons(), x), xs)) -> app'#(app'(cons(), app'(f, x)), app'(app'(map(), f), xs)))
     (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'#(cons(), x), app'#(app'(app(), app'(app'(cons(), x), l)), k) -> app'#(app(), l))
     (app'#(app'(app'(app'(filter2(), true()), f), x), xs) -> app'#(cons(), x), app'#(app'(app(), app'(app'(cons(), x), l)), k) -> app'#(app'(cons(), x), app'(app'(app(), l), k)))
     (app'#(app'(app'(app'(filter2(), true()), f), x), xs) -> app'#(cons(), x), app'#(app'(app(), app'(app'(cons(), x), l)), k) -> app'#(app'(app(), l), k))
     (app'#(app'(app'(app'(filter2(), true()), f), x), xs) -> app'#(cons(), x), app'#(app'(quot(), app'(s(), x)), app'(s(), y)) -> app'#(quot(), app'(app'(minus(), x), y)))
     (app'#(app'(app'(app'(filter2(), true()), f), x), xs) -> app'#(cons(), x), app'#(app'(quot(), app'(s(), x)), app'(s(), y)) -> app'#(s(), app'(app'(quot(), app'(app'(minus(), x), y)), app'(s(), y))))
     (app'#(app'(app'(app'(filter2(), true()), f), x), xs) -> app'#(cons(), x), app'#(app'(quot(), app'(s(), x)), app'(s(), y)) -> app'#(minus(), x))
     (app'#(app'(app'(app'(filter2(), true()), f), x), xs) -> app'#(cons(), x), app'#(app'(quot(), app'(s(), x)), app'(s(), y)) -> app'#(app'(quot(), app'(app'(minus(), x), y)), app'(s(), y)))
     (app'#(app'(app'(app'(filter2(), true()), f), x), xs) -> app'#(cons(), x), app'#(app'(quot(), app'(s(), x)), app'(s(), y)) -> app'#(app'(minus(), x), y))
     (app'#(app'(app'(app'(filter2(), true()), f), x), xs) -> app'#(cons(), x), app'#(app'(plus(), app'(s(), x)), y) -> app'#(plus(), x))
     (app'#(app'(app'(app'(filter2(), true()), f), x), xs) -> app'#(cons(), x), app'#(app'(plus(), app'(s(), x)), y) -> app'#(s(), app'(app'(plus(), x), y)))
     (app'#(app'(app'(app'(filter2(), true()), f), x), xs) -> app'#(cons(), x), app'#(app'(plus(), app'(s(), x)), y) -> app'#(app'(plus(), x), y))
     (app'#(app'(app'(app'(filter2(), true()), f), x), xs) -> app'#(cons(), x), app'#(app'(minus(), app'(s(), x)), app'(s(), y)) -> app'#(minus(), x))
     (app'#(app'(app'(app'(filter2(), true()), f), x), xs) -> app'#(cons(), x), app'#(app'(minus(), app'(s(), x)), app'(s(), y)) -> app'#(app'(minus(), x), y))
     (app'#(app'(app'(app'(filter2(), true()), f), x), xs) -> app'#(cons(), x), app'#(app'(minus(), app'(app'(minus(), x), y)), z) -> app'#(plus(), y))
     (app'#(app'(app'(app'(filter2(), true()), f), x), xs) -> app'#(cons(), x), app'#(app'(minus(), app'(app'(minus(), x), y)), z) -> app'#(app'(plus(), y), z))
     (app'#(app'(app'(app'(filter2(), true()), f), x), xs) -> app'#(cons(), x), app'#(app'(minus(), app'(app'(minus(), x), y)), z) -> app'#(app'(minus(), x), app'(app'(plus(), y), z)))
     (app'#(app'(app'(app'(filter2(), true()), f), x), xs) -> app'#(cons(), x), app'#(app'(app'(app'(filter2(), false()), f), x), xs) -> app'#(filter(), f))
     (app'#(app'(app'(app'(filter2(), true()), f), x), xs) -> app'#(cons(), x), app'#(app'(app'(app'(filter2(), false()), 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(), true()), f), x), xs) -> app'#(cons(), x), app'#(app'(app'(app'(filter2(), true()), f), x), xs) -> app'#(cons(), x))
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     (app'#(app'(app'(app'(filter2(), true()), f), x), xs) -> app'#(cons(), x), app'#(app'(app'(app'(filter2(), true()), f), x), xs) -> app'#(app'(cons(), x), app'(app'(filter(), f), xs)))
     (app'#(app'(plus(), app'(s(), x)), y) -> app'#(plus(), x), app'#(sum(), app'(app'(cons(), x), app'(app'(cons(), y), l))) -> app'#(sum(), app'(app'(cons(), app'(app'(plus(), x), y)), l)))
     (app'#(app'(plus(), app'(s(), x)), y) -> app'#(plus(), x), app'#(sum(), app'(app'(cons(), x), app'(app'(cons(), y), l))) -> app'#(cons(), app'(app'(plus(), x), y)))
     (app'#(app'(plus(), app'(s(), x)), y) -> app'#(plus(), x), app'#(sum(), app'(app'(cons(), x), app'(app'(cons(), y), l))) -> app'#(plus(), x))
     (app'#(app'(plus(), app'(s(), x)), y) -> app'#(plus(), x), app'#(sum(), app'(app'(cons(), x), app'(app'(cons(), y), l))) -> app'#(app'(cons(), app'(app'(plus(), x), y)), l))
     (app'#(app'(plus(), app'(s(), x)), y) -> app'#(plus(), x), app'#(sum(), app'(app'(cons(), x), app'(app'(cons(), y), l))) -> app'#(app'(plus(), x), y))
     (app'#(app'(plus(), app'(s(), x)), y) -> app'#(plus(), x), app'#(sum(), app'(app'(app(), l), app'(app'(cons(), x), app'(app'(cons(), y), k)))) -> app'#(sum(), app'(app'(cons(), x), app'(app'(cons(), y), k))))
     (app'#(app'(plus(), app'(s(), x)), y) -> app'#(plus(), x), app'#(sum(), app'(app'(app(), l), app'(app'(cons(), x), app'(app'(cons(), y), k)))) -> app'#(sum(), app'(app'(app(), l), app'(sum(), app'(app'(cons(), x), app'(app'(cons(), y), k))))))
     (app'#(app'(plus(), app'(s(), x)), y) -> app'#(plus(), x), app'#(sum(), app'(app'(app(), l), app'(app'(cons(), x), app'(app'(cons(), y), k)))) -> app'#(app'(app(), l), app'(sum(), app'(app'(cons(), x), app'(app'(cons(), y), k)))))
     (app'#(app'(plus(), app'(s(), x)), y) -> app'#(plus(), x), app'#(app'(filter(), f), app'(app'(cons(), x), xs)) -> app'#(filter2(), app'(f, x)))
     (app'#(app'(plus(), app'(s(), x)), y) -> app'#(plus(), x), app'#(app'(filter(), f), app'(app'(cons(), x), xs)) -> app'#(app'(filter2(), app'(f, x)), f))
     (app'#(app'(plus(), app'(s(), x)), y) -> app'#(plus(), x), app'#(app'(filter(), f), app'(app'(cons(), x), xs)) -> app'#(app'(app'(filter2(), app'(f, x)), f), x))
     (app'#(app'(plus(), app'(s(), x)), y) -> app'#(plus(), x), app'#(app'(filter(), f), app'(app'(cons(), x), xs)) -> app'#(app'(app'(app'(filter2(), app'(f, x)), f), x), xs))
     (app'#(app'(plus(), app'(s(), x)), y) -> app'#(plus(), x), app'#(app'(filter(), f), app'(app'(cons(), x), xs)) -> app'#(f, x))
     (app'#(app'(plus(), app'(s(), x)), y) -> app'#(plus(), x), app'#(app'(map(), f), app'(app'(cons(), x), xs)) -> app'#(cons(), app'(f, x)))
     (app'#(app'(plus(), app'(s(), x)), y) -> app'#(plus(), x), app'#(app'(map(), f), app'(app'(cons(), x), xs)) -> app'#(app'(map(), f), xs))
     (app'#(app'(plus(), app'(s(), x)), y) -> app'#(plus(), x), app'#(app'(map(), f), app'(app'(cons(), x), xs)) -> app'#(app'(cons(), app'(f, x)), app'(app'(map(), f), xs)))
     (app'#(app'(plus(), app'(s(), x)), y) -> app'#(plus(), x), app'#(app'(map(), f), app'(app'(cons(), x), xs)) -> app'#(f, x))
     (app'#(app'(plus(), app'(s(), x)), y) -> app'#(plus(), x), app'#(app'(app(), app'(app'(cons(), x), l)), k) -> app'#(app(), l))
     (app'#(app'(plus(), app'(s(), x)), y) -> app'#(plus(), x), app'#(app'(app(), app'(app'(cons(), x), l)), k) -> app'#(app'(cons(), x), app'(app'(app(), l), k)))
     (app'#(app'(plus(), app'(s(), x)), y) -> app'#(plus(), x), app'#(app'(app(), app'(app'(cons(), x), l)), k) -> app'#(app'(app(), l), k))
     (app'#(app'(plus(), app'(s(), x)), y) -> app'#(plus(), x), app'#(app'(quot(), app'(s(), x)), app'(s(), y)) -> app'#(quot(), app'(app'(minus(), x), y)))
     (app'#(app'(plus(), app'(s(), x)), y) -> app'#(plus(), x), app'#(app'(quot(), app'(s(), x)), app'(s(), y)) -> app'#(s(), app'(app'(quot(), app'(app'(minus(), x), y)), app'(s(), y))))
     (app'#(app'(plus(), app'(s(), x)), y) -> app'#(plus(), x), app'#(app'(quot(), app'(s(), x)), app'(s(), y)) -> app'#(minus(), x))
     (app'#(app'(plus(), app'(s(), x)), y) -> app'#(plus(), x), app'#(app'(quot(), app'(s(), x)), app'(s(), y)) -> app'#(app'(quot(), app'(app'(minus(), x), y)), app'(s(), y)))
     (app'#(app'(plus(), app'(s(), x)), y) -> app'#(plus(), x), app'#(app'(quot(), app'(s(), x)), app'(s(), y)) -> app'#(app'(minus(), x), y))
     (app'#(app'(plus(), app'(s(), x)), y) -> app'#(plus(), x), app'#(app'(plus(), app'(s(), x)), y) -> app'#(plus(), x))
     (app'#(app'(plus(), app'(s(), x)), y) -> app'#(plus(), x), app'#(app'(plus(), app'(s(), x)), y) -> app'#(s(), app'(app'(plus(), x), y)))
     (app'#(app'(plus(), app'(s(), x)), y) -> app'#(plus(), x), app'#(app'(plus(), app'(s(), x)), y) -> app'#(app'(plus(), x), y))
     (app'#(app'(plus(), app'(s(), x)), y) -> app'#(plus(), x), app'#(app'(minus(), app'(s(), x)), app'(s(), y)) -> app'#(minus(), x))
     (app'#(app'(plus(), app'(s(), x)), y) -> app'#(plus(), x), app'#(app'(minus(), app'(s(), x)), app'(s(), y)) -> app'#(app'(minus(), x), y))
     (app'#(app'(plus(), app'(s(), x)), y) -> app'#(plus(), x), app'#(app'(minus(), app'(app'(minus(), x), y)), z) -> app'#(plus(), y))
     (app'#(app'(plus(), app'(s(), x)), y) -> app'#(plus(), x), app'#(app'(minus(), app'(app'(minus(), x), y)), z) -> app'#(app'(plus(), y), z))
     (app'#(app'(plus(), app'(s(), x)), y) -> app'#(plus(), x), app'#(app'(minus(), app'(app'(minus(), x), y)), z) -> app'#(app'(minus(), x), app'(app'(plus(), y), z)))
     (app'#(app'(plus(), app'(s(), x)), y) -> app'#(plus(), x), app'#(app'(app'(app'(filter2(), false()), f), x), xs) -> app'#(filter(), f))
     (app'#(app'(plus(), app'(s(), x)), y) -> app'#(plus(), x), app'#(app'(app'(app'(filter2(), false()), f), x), xs) -> app'#(app'(filter(), f), xs))
     (app'#(app'(plus(), app'(s(), x)), y) -> app'#(plus(), x), app'#(app'(app'(app'(filter2(), true()), f), x), xs) -> app'#(filter(), f))
     (app'#(app'(plus(), app'(s(), x)), y) -> app'#(plus(), x), app'#(app'(app'(app'(filter2(), true()), f), x), xs) -> app'#(cons(), x))
     (app'#(app'(plus(), app'(s(), x)), y) -> app'#(plus(), x), app'#(app'(app'(app'(filter2(), true()), f), x), xs) -> app'#(app'(filter(), f), xs))
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     (app'#(sum(), app'(app'(cons(), x), app'(app'(cons(), y), l))) -> app'#(plus(), x), app'#(sum(), app'(app'(cons(), x), app'(app'(cons(), y), l))) -> app'#(sum(), app'(app'(cons(), app'(app'(plus(), x), y)), l)))
     (app'#(sum(), app'(app'(cons(), x), app'(app'(cons(), y), l))) -> app'#(plus(), x), app'#(sum(), app'(app'(cons(), x), app'(app'(cons(), y), l))) -> app'#(cons(), app'(app'(plus(), x), y)))
     (app'#(sum(), app'(app'(cons(), x), app'(app'(cons(), y), l))) -> app'#(plus(), x), app'#(sum(), app'(app'(cons(), x), app'(app'(cons(), y), l))) -> app'#(plus(), x))
     (app'#(sum(), app'(app'(cons(), x), app'(app'(cons(), y), l))) -> app'#(plus(), x), app'#(sum(), app'(app'(cons(), x), app'(app'(cons(), y), l))) -> app'#(app'(cons(), app'(app'(plus(), x), y)), l))
     (app'#(sum(), app'(app'(cons(), x), app'(app'(cons(), y), l))) -> app'#(plus(), x), app'#(sum(), app'(app'(cons(), x), app'(app'(cons(), y), l))) -> app'#(app'(plus(), x), y))
     (app'#(sum(), app'(app'(cons(), x), app'(app'(cons(), y), l))) -> app'#(plus(), x), app'#(sum(), app'(app'(app(), l), app'(app'(cons(), x), app'(app'(cons(), y), k)))) -> app'#(sum(), app'(app'(cons(), x), app'(app'(cons(), y), k))))
     (app'#(sum(), app'(app'(cons(), x), app'(app'(cons(), y), l))) -> app'#(plus(), x), app'#(sum(), app'(app'(app(), l), app'(app'(cons(), x), app'(app'(cons(), y), k)))) -> app'#(sum(), app'(app'(app(), l), app'(sum(), app'(app'(cons(), x), app'(app'(cons(), y), k))))))
     (app'#(sum(), app'(app'(cons(), x), app'(app'(cons(), y), l))) -> app'#(plus(), x), app'#(sum(), app'(app'(app(), l), app'(app'(cons(), x), app'(app'(cons(), y), k)))) -> app'#(app'(app(), l), app'(sum(), app'(app'(cons(), x), app'(app'(cons(), y), k)))))
     (app'#(sum(), app'(app'(cons(), x), app'(app'(cons(), y), l))) -> app'#(plus(), x), app'#(app'(filter(), f), app'(app'(cons(), x), xs)) -> app'#(filter2(), app'(f, x)))
     (app'#(sum(), app'(app'(cons(), x), app'(app'(cons(), y), l))) -> app'#(plus(), x), app'#(app'(filter(), f), app'(app'(cons(), x), xs)) -> app'#(app'(filter2(), app'(f, x)), f))
     (app'#(sum(), app'(app'(cons(), x), app'(app'(cons(), y), l))) -> app'#(plus(), x), app'#(app'(filter(), f), app'(app'(cons(), x), xs)) -> app'#(app'(app'(filter2(), app'(f, x)), f), x))
     (app'#(sum(), app'(app'(cons(), x), app'(app'(cons(), y), l))) -> app'#(plus(), x), app'#(app'(filter(), f), app'(app'(cons(), x), xs)) -> app'#(app'(app'(app'(filter2(), app'(f, x)), f), x), xs))
     (app'#(sum(), app'(app'(cons(), x), app'(app'(cons(), y), l))) -> app'#(plus(), x), app'#(app'(filter(), f), app'(app'(cons(), x), xs)) -> app'#(f, x))
     (app'#(sum(), app'(app'(cons(), x), app'(app'(cons(), y), l))) -> app'#(plus(), x), app'#(app'(map(), f), app'(app'(cons(), x), xs)) -> app'#(cons(), app'(f, x)))
     (app'#(sum(), app'(app'(cons(), x), app'(app'(cons(), y), l))) -> app'#(plus(), x), app'#(app'(map(), f), app'(app'(cons(), x), xs)) -> app'#(app'(map(), f), xs))
     (app'#(sum(), app'(app'(cons(), x), app'(app'(cons(), y), l))) -> app'#(plus(), x), app'#(app'(map(), f), app'(app'(cons(), x), xs)) -> app'#(app'(cons(), app'(f, x)), app'(app'(map(), f), xs)))
     (app'#(sum(), app'(app'(cons(), x), app'(app'(cons(), y), l))) -> app'#(plus(), x), app'#(app'(map(), f), app'(app'(cons(), x), xs)) -> app'#(f, x))
     (app'#(sum(), app'(app'(cons(), x), app'(app'(cons(), y), l))) -> app'#(plus(), x), app'#(app'(app(), app'(app'(cons(), x), l)), k) -> app'#(app(), l))
     (app'#(sum(), app'(app'(cons(), x), app'(app'(cons(), y), l))) -> app'#(plus(), x), app'#(app'(app(), app'(app'(cons(), x), l)), k) -> app'#(app'(cons(), x), app'(app'(app(), l), k)))
     (app'#(sum(), app'(app'(cons(), x), app'(app'(cons(), y), l))) -> app'#(plus(), x), app'#(app'(app(), app'(app'(cons(), x), l)), k) -> app'#(app'(app(), l), k))
     (app'#(sum(), app'(app'(cons(), x), app'(app'(cons(), y), l))) -> app'#(plus(), x), app'#(app'(quot(), app'(s(), x)), app'(s(), y)) -> app'#(quot(), app'(app'(minus(), x), y)))
     (app'#(sum(), app'(app'(cons(), x), app'(app'(cons(), y), l))) -> app'#(plus(), x), app'#(app'(quot(), app'(s(), x)), app'(s(), y)) -> app'#(s(), app'(app'(quot(), app'(app'(minus(), x), y)), app'(s(), y))))
     (app'#(sum(), app'(app'(cons(), x), app'(app'(cons(), y), l))) -> app'#(plus(), x), app'#(app'(quot(), app'(s(), x)), app'(s(), y)) -> app'#(minus(), x))
     (app'#(sum(), app'(app'(cons(), x), app'(app'(cons(), y), l))) -> app'#(plus(), x), app'#(app'(quot(), app'(s(), x)), app'(s(), y)) -> app'#(app'(quot(), app'(app'(minus(), x), y)), app'(s(), y)))
     (app'#(sum(), app'(app'(cons(), x), app'(app'(cons(), y), l))) -> app'#(plus(), x), app'#(app'(quot(), app'(s(), x)), app'(s(), y)) -> app'#(app'(minus(), x), y))
     (app'#(sum(), app'(app'(cons(), x), app'(app'(cons(), y), l))) -> app'#(plus(), x), app'#(app'(plus(), app'(s(), x)), y) -> app'#(plus(), x))
     (app'#(sum(), app'(app'(cons(), x), app'(app'(cons(), y), l))) -> app'#(plus(), x), app'#(app'(plus(), app'(s(), x)), y) -> app'#(s(), app'(app'(plus(), x), y)))
     (app'#(sum(), app'(app'(cons(), x), app'(app'(cons(), y), l))) -> app'#(plus(), x), app'#(app'(plus(), app'(s(), x)), y) -> app'#(app'(plus(), x), y))
     (app'#(sum(), app'(app'(cons(), x), app'(app'(cons(), y), l))) -> app'#(plus(), x), app'#(app'(minus(), app'(s(), x)), app'(s(), y)) -> app'#(minus(), x))
     (app'#(sum(), app'(app'(cons(), x), app'(app'(cons(), y), l))) -> app'#(plus(), x), app'#(app'(minus(), app'(s(), x)), app'(s(), y)) -> app'#(app'(minus(), x), y))
     (app'#(sum(), app'(app'(cons(), x), app'(app'(cons(), y), l))) -> app'#(plus(), x), app'#(app'(minus(), app'(app'(minus(), x), y)), z) -> app'#(plus(), y))
     (app'#(sum(), app'(app'(cons(), x), app'(app'(cons(), y), l))) -> app'#(plus(), x), app'#(app'(minus(), app'(app'(minus(), x), y)), z) -> app'#(app'(plus(), y), z))
     (app'#(sum(), app'(app'(cons(), x), app'(app'(cons(), y), l))) -> app'#(plus(), x), app'#(app'(minus(), app'(app'(minus(), x), y)), z) -> app'#(app'(minus(), x), app'(app'(plus(), y), z)))
     (app'#(sum(), app'(app'(cons(), x), app'(app'(cons(), y), l))) -> app'#(plus(), x), app'#(app'(app'(app'(filter2(), false()), f), x), xs) -> app'#(filter(), f))
     (app'#(sum(), app'(app'(cons(), x), app'(app'(cons(), y), l))) -> app'#(plus(), x), app'#(app'(app'(app'(filter2(), false()), f), x), xs) -> app'#(app'(filter(), f), xs))
     (app'#(sum(), app'(app'(cons(), x), app'(app'(cons(), y), l))) -> app'#(plus(), x), app'#(app'(app'(app'(filter2(), true()), f), x), xs) -> app'#(filter(), f))
     (app'#(sum(), app'(app'(cons(), x), app'(app'(cons(), y), l))) -> app'#(plus(), x), app'#(app'(app'(app'(filter2(), true()), f), x), xs) -> app'#(cons(), x))
     (app'#(sum(), app'(app'(cons(), x), app'(app'(cons(), y), l))) -> app'#(plus(), x), app'#(app'(app'(app'(filter2(), true()), f), x), xs) -> app'#(app'(filter(), f), xs))
     (app'#(sum(), app'(app'(cons(), x), app'(app'(cons(), y), l))) -> app'#(plus(), x), 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'#(sum(), app'(app'(cons(), x), app'(app'(cons(), y), l))) -> app'#(sum(), app'(app'(cons(), app'(app'(plus(), x), y)), l)))
     (app'#(app'(app'(app'(filter2(), true()), f), x), xs) -> app'#(app'(filter(), f), xs), app'#(sum(), app'(app'(cons(), x), app'(app'(cons(), y), l))) -> app'#(cons(), app'(app'(plus(), x), y)))
     (app'#(app'(app'(app'(filter2(), true()), f), x), xs) -> app'#(app'(filter(), f), xs), app'#(sum(), app'(app'(cons(), x), app'(app'(cons(), y), l))) -> app'#(plus(), x))
     (app'#(app'(app'(app'(filter2(), true()), f), x), xs) -> app'#(app'(filter(), f), xs), app'#(sum(), app'(app'(cons(), x), app'(app'(cons(), y), l))) -> app'#(app'(cons(), app'(app'(plus(), x), y)), l))
     (app'#(app'(app'(app'(filter2(), true()), f), x), xs) -> app'#(app'(filter(), f), xs), app'#(sum(), app'(app'(cons(), x), app'(app'(cons(), y), l))) -> app'#(app'(plus(), x), y))
     (app'#(app'(app'(app'(filter2(), true()), f), x), xs) -> app'#(app'(filter(), f), xs), app'#(sum(), app'(app'(app(), l), app'(app'(cons(), x), app'(app'(cons(), y), k)))) -> app'#(sum(), app'(app'(cons(), x), app'(app'(cons(), y), k))))
     (app'#(app'(app'(app'(filter2(), true()), f), x), xs) -> app'#(app'(filter(), f), xs), app'#(sum(), app'(app'(app(), l), app'(app'(cons(), x), app'(app'(cons(), y), k)))) -> app'#(sum(), app'(app'(app(), l), app'(sum(), app'(app'(cons(), x), app'(app'(cons(), y), k))))))
     (app'#(app'(app'(app'(filter2(), true()), f), x), xs) -> app'#(app'(filter(), f), xs), app'#(sum(), app'(app'(app(), l), app'(app'(cons(), x), app'(app'(cons(), y), k)))) -> app'#(app'(app(), l), app'(sum(), app'(app'(cons(), x), app'(app'(cons(), y), k)))))
     (app'#(app'(app'(app'(filter2(), true()), f), x), xs) -> app'#(app'(filter(), f), xs), app'#(app'(filter(), f), app'(app'(cons(), x), xs)) -> app'#(filter2(), app'(f, x)))
     (app'#(app'(app'(app'(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'#(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'(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'#(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'#(cons(), 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'#(app'(map(), f), xs))
     (app'#(app'(app'(app'(filter2(), true()), f), x), xs) -> app'#(app'(filter(), f), xs), app'#(app'(map(), f), app'(app'(cons(), x), xs)) -> app'#(app'(cons(), app'(f, x)), app'(app'(map(), f), xs)))
     (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'(filter(), f), xs), app'#(app'(app(), app'(app'(cons(), x), l)), k) -> app'#(app(), l))
     (app'#(app'(app'(app'(filter2(), true()), f), x), xs) -> app'#(app'(filter(), f), xs), app'#(app'(app(), app'(app'(cons(), x), l)), k) -> app'#(app'(cons(), x), app'(app'(app(), l), k)))
     (app'#(app'(app'(app'(filter2(), true()), f), x), xs) -> app'#(app'(filter(), f), xs), app'#(app'(app(), app'(app'(cons(), x), l)), k) -> app'#(app'(app(), l), k))
     (app'#(app'(app'(app'(filter2(), true()), f), x), xs) -> app'#(app'(filter(), f), xs), app'#(app'(quot(), app'(s(), x)), app'(s(), y)) -> app'#(quot(), app'(app'(minus(), x), y)))
     (app'#(app'(app'(app'(filter2(), true()), f), x), xs) -> app'#(app'(filter(), f), xs), app'#(app'(quot(), app'(s(), x)), app'(s(), y)) -> app'#(s(), app'(app'(quot(), app'(app'(minus(), x), y)), app'(s(), y))))
     (app'#(app'(app'(app'(filter2(), true()), f), x), xs) -> app'#(app'(filter(), f), xs), app'#(app'(quot(), app'(s(), x)), app'(s(), y)) -> app'#(minus(), x))
     (app'#(app'(app'(app'(filter2(), true()), f), x), xs) -> app'#(app'(filter(), f), xs), app'#(app'(quot(), app'(s(), x)), app'(s(), y)) -> app'#(app'(quot(), app'(app'(minus(), x), y)), app'(s(), y)))
     (app'#(app'(app'(app'(filter2(), true()), f), x), xs) -> app'#(app'(filter(), f), xs), app'#(app'(quot(), app'(s(), x)), app'(s(), y)) -> app'#(app'(minus(), x), y))
     (app'#(app'(app'(app'(filter2(), true()), f), x), xs) -> app'#(app'(filter(), f), xs), app'#(app'(plus(), app'(s(), x)), y) -> app'#(plus(), x))
     (app'#(app'(app'(app'(filter2(), true()), f), x), xs) -> app'#(app'(filter(), f), xs), app'#(app'(plus(), app'(s(), x)), y) -> app'#(s(), app'(app'(plus(), x), y)))
     (app'#(app'(app'(app'(filter2(), true()), f), x), xs) -> app'#(app'(filter(), f), xs), app'#(app'(plus(), app'(s(), x)), y) -> app'#(app'(plus(), x), y))
     (app'#(app'(app'(app'(filter2(), true()), f), x), xs) -> app'#(app'(filter(), f), xs), app'#(app'(minus(), app'(s(), x)), app'(s(), y)) -> app'#(minus(), x))
     (app'#(app'(app'(app'(filter2(), true()), f), x), xs) -> app'#(app'(filter(), f), xs), app'#(app'(minus(), app'(s(), x)), app'(s(), y)) -> app'#(app'(minus(), x), y))
     (app'#(app'(app'(app'(filter2(), true()), f), x), xs) -> app'#(app'(filter(), f), xs), app'#(app'(minus(), app'(app'(minus(), x), y)), z) -> app'#(plus(), y))
     (app'#(app'(app'(app'(filter2(), true()), f), x), xs) -> app'#(app'(filter(), f), xs), app'#(app'(minus(), app'(app'(minus(), x), y)), z) -> app'#(app'(plus(), y), z))
     (app'#(app'(app'(app'(filter2(), true()), f), x), xs) -> app'#(app'(filter(), f), xs), app'#(app'(minus(), app'(app'(minus(), x), y)), z) -> app'#(app'(minus(), x), app'(app'(plus(), y), z)))
     (app'#(app'(app'(app'(filter2(), true()), f), x), xs) -> app'#(app'(filter(), f), xs), app'#(app'(app'(app'(filter2(), false()), f), x), xs) -> app'#(filter(), f))
     (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'(app'(app'(filter2(), true()), f), x), xs) -> app'#(app'(filter(), f), xs), app'#(app'(app'(app'(filter2(), true()), f), x), xs) -> app'#(filter(), f))
     (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'#(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'#(app'(filter(), f), 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'#(sum(), app'(app'(cons(), x), app'(app'(cons(), y), l))) -> app'#(sum(), app'(app'(cons(), app'(app'(plus(), x), y)), l)))
     (app'#(app'(map(), f), app'(app'(cons(), x), xs)) -> app'#(app'(map(), f), xs), app'#(sum(), app'(app'(cons(), x), app'(app'(cons(), y), l))) -> app'#(cons(), app'(app'(plus(), x), y)))
     (app'#(app'(map(), f), app'(app'(cons(), x), xs)) -> app'#(app'(map(), f), xs), app'#(sum(), app'(app'(cons(), x), app'(app'(cons(), y), l))) -> app'#(plus(), x))
     (app'#(app'(map(), f), app'(app'(cons(), x), xs)) -> app'#(app'(map(), f), xs), app'#(sum(), app'(app'(cons(), x), app'(app'(cons(), y), l))) -> app'#(app'(cons(), app'(app'(plus(), x), y)), l))
     (app'#(app'(map(), f), app'(app'(cons(), x), xs)) -> app'#(app'(map(), f), xs), app'#(sum(), app'(app'(cons(), x), app'(app'(cons(), y), l))) -> app'#(app'(plus(), x), y))
     (app'#(app'(map(), f), app'(app'(cons(), x), xs)) -> app'#(app'(map(), f), xs), app'#(sum(), app'(app'(app(), l), app'(app'(cons(), x), app'(app'(cons(), y), k)))) -> app'#(sum(), app'(app'(cons(), x), app'(app'(cons(), y), k))))
     (app'#(app'(map(), f), app'(app'(cons(), x), xs)) -> app'#(app'(map(), f), xs), app'#(sum(), app'(app'(app(), l), app'(app'(cons(), x), app'(app'(cons(), y), k)))) -> app'#(sum(), app'(app'(app(), l), app'(sum(), app'(app'(cons(), x), app'(app'(cons(), y), k))))))
     (app'#(app'(map(), f), app'(app'(cons(), x), xs)) -> app'#(app'(map(), f), xs), app'#(sum(), app'(app'(app(), l), app'(app'(cons(), x), app'(app'(cons(), y), k)))) -> app'#(app'(app(), l), app'(sum(), app'(app'(cons(), x), app'(app'(cons(), y), k)))))
     (app'#(app'(map(), f), app'(app'(cons(), x), xs)) -> app'#(app'(map(), f), xs), app'#(app'(filter(), f), app'(app'(cons(), x), xs)) -> app'#(filter2(), 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'#(app'(filter2(), app'(f, x)), f))
     (app'#(app'(map(), f), app'(app'(cons(), x), xs)) -> app'#(app'(map(), f), xs), 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'#(app'(map(), f), xs), 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'#(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'(map(), f), app'(app'(cons(), x), xs)) -> app'#(cons(), app'(f, x)))
     (app'#(app'(map(), f), app'(app'(cons(), x), xs)) -> app'#(app'(map(), f), xs), app'#(app'(map(), f), app'(app'(cons(), x), xs)) -> app'#(app'(map(), f), xs))
     (app'#(app'(map(), f), app'(app'(cons(), x), xs)) -> app'#(app'(map(), f), xs), app'#(app'(map(), f), app'(app'(cons(), x), xs)) -> app'#(app'(cons(), app'(f, x)), app'(app'(map(), f), xs)))
     (app'#(app'(map(), f), app'(app'(cons(), x), xs)) -> app'#(app'(map(), f), xs), app'#(app'(map(), f), app'(app'(cons(), x), xs)) -> app'#(f, x))
     (app'#(app'(map(), f), app'(app'(cons(), x), xs)) -> app'#(app'(map(), f), xs), app'#(app'(app(), app'(app'(cons(), x), l)), k) -> app'#(app(), l))
     (app'#(app'(map(), f), app'(app'(cons(), x), xs)) -> app'#(app'(map(), f), xs), app'#(app'(app(), app'(app'(cons(), x), l)), k) -> app'#(app'(cons(), x), app'(app'(app(), l), k)))
     (app'#(app'(map(), f), app'(app'(cons(), x), xs)) -> app'#(app'(map(), f), xs), app'#(app'(app(), app'(app'(cons(), x), l)), k) -> app'#(app'(app(), l), k))
     (app'#(app'(map(), f), app'(app'(cons(), x), xs)) -> app'#(app'(map(), f), xs), app'#(app'(quot(), app'(s(), x)), app'(s(), y)) -> app'#(quot(), app'(app'(minus(), x), y)))
     (app'#(app'(map(), f), app'(app'(cons(), x), xs)) -> app'#(app'(map(), f), xs), app'#(app'(quot(), app'(s(), x)), app'(s(), y)) -> app'#(s(), app'(app'(quot(), app'(app'(minus(), x), y)), app'(s(), y))))
     (app'#(app'(map(), f), app'(app'(cons(), x), xs)) -> app'#(app'(map(), f), xs), app'#(app'(quot(), app'(s(), x)), app'(s(), y)) -> app'#(minus(), x))
     (app'#(app'(map(), f), app'(app'(cons(), x), xs)) -> app'#(app'(map(), f), xs), app'#(app'(quot(), app'(s(), x)), app'(s(), y)) -> app'#(app'(quot(), app'(app'(minus(), x), y)), app'(s(), y)))
     (app'#(app'(map(), f), app'(app'(cons(), x), xs)) -> app'#(app'(map(), f), xs), app'#(app'(quot(), app'(s(), x)), app'(s(), y)) -> app'#(app'(minus(), x), y))
     (app'#(app'(map(), f), app'(app'(cons(), x), xs)) -> app'#(app'(map(), f), xs), app'#(app'(plus(), app'(s(), x)), y) -> app'#(plus(), x))
     (app'#(app'(map(), f), app'(app'(cons(), x), xs)) -> app'#(app'(map(), f), xs), app'#(app'(plus(), app'(s(), x)), y) -> app'#(s(), app'(app'(plus(), x), y)))
     (app'#(app'(map(), f), app'(app'(cons(), x), xs)) -> app'#(app'(map(), f), xs), app'#(app'(plus(), app'(s(), x)), y) -> app'#(app'(plus(), x), y))
     (app'#(app'(map(), f), app'(app'(cons(), x), xs)) -> app'#(app'(map(), f), xs), app'#(app'(minus(), app'(s(), x)), app'(s(), y)) -> app'#(minus(), x))
     (app'#(app'(map(), f), app'(app'(cons(), x), xs)) -> app'#(app'(map(), f), xs), app'#(app'(minus(), app'(s(), x)), app'(s(), y)) -> app'#(app'(minus(), x), y))
     (app'#(app'(map(), f), app'(app'(cons(), x), xs)) -> app'#(app'(map(), f), xs), app'#(app'(minus(), app'(app'(minus(), x), y)), z) -> app'#(plus(), y))
     (app'#(app'(map(), f), app'(app'(cons(), x), xs)) -> app'#(app'(map(), f), xs), app'#(app'(minus(), app'(app'(minus(), x), y)), z) -> app'#(app'(plus(), y), z))
     (app'#(app'(map(), f), app'(app'(cons(), x), xs)) -> app'#(app'(map(), f), xs), app'#(app'(minus(), app'(app'(minus(), x), y)), z) -> app'#(app'(minus(), x), app'(app'(plus(), y), z)))
     (app'#(app'(map(), f), app'(app'(cons(), x), xs)) -> app'#(app'(map(), f), xs), app'#(app'(app'(app'(filter2(), false()), f), x), xs) -> app'#(filter(), f))
     (app'#(app'(map(), f), app'(app'(cons(), x), xs)) -> app'#(app'(map(), 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'#(app'(map(), f), xs), app'#(app'(app'(app'(filter2(), true()), f), x), xs) -> app'#(filter(), f))
     (app'#(app'(map(), f), app'(app'(cons(), x), xs)) -> app'#(app'(map(), f), xs), app'#(app'(app'(app'(filter2(), true()), f), x), xs) -> app'#(cons(), x))
     (app'#(app'(map(), f), app'(app'(cons(), x), xs)) -> app'#(app'(map(), f), xs), app'#(app'(app'(app'(filter2(), true()), f), x), xs) -> app'#(app'(filter(), f), xs))
     (app'#(app'(map(), f), app'(app'(cons(), x), xs)) -> app'#(app'(map(), f), 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'#(f, x), app'#(sum(), app'(app'(cons(), x), app'(app'(cons(), y), l))) -> app'#(sum(), app'(app'(cons(), app'(app'(plus(), x), y)), l)))
     (app'#(app'(map(), f), app'(app'(cons(), x), xs)) -> app'#(f, x), app'#(sum(), app'(app'(cons(), x), app'(app'(cons(), y), l))) -> app'#(cons(), app'(app'(plus(), x), y)))
     (app'#(app'(map(), f), app'(app'(cons(), x), xs)) -> app'#(f, x), app'#(sum(), app'(app'(cons(), x), app'(app'(cons(), y), l))) -> app'#(plus(), x))
     (app'#(app'(map(), f), app'(app'(cons(), x), xs)) -> app'#(f, x), app'#(sum(), app'(app'(cons(), x), app'(app'(cons(), y), l))) -> app'#(app'(cons(), app'(app'(plus(), x), y)), l))
     (app'#(app'(map(), f), app'(app'(cons(), x), xs)) -> app'#(f, x), app'#(sum(), app'(app'(cons(), x), app'(app'(cons(), y), l))) -> app'#(app'(plus(), x), y))
     (app'#(app'(map(), f), app'(app'(cons(), x), xs)) -> app'#(f, x), app'#(sum(), app'(app'(app(), l), app'(app'(cons(), x), app'(app'(cons(), y), k)))) -> app'#(sum(), app'(app'(cons(), x), app'(app'(cons(), y), k))))
     (app'#(app'(map(), f), app'(app'(cons(), x), xs)) -> app'#(f, x), app'#(sum(), app'(app'(app(), l), app'(app'(cons(), x), app'(app'(cons(), y), k)))) -> app'#(sum(), app'(app'(app(), l), app'(sum(), app'(app'(cons(), x), app'(app'(cons(), y), k))))))
     (app'#(app'(map(), f), app'(app'(cons(), x), xs)) -> app'#(f, x), app'#(sum(), app'(app'(app(), l), app'(app'(cons(), x), app'(app'(cons(), y), k)))) -> app'#(app'(app(), l), app'(sum(), app'(app'(cons(), x), app'(app'(cons(), y), k)))))
     (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'(app(), app'(app'(cons(), x), l)), k) -> app'#(app(), l))
     (app'#(app'(map(), f), app'(app'(cons(), x), xs)) -> app'#(f, x), app'#(app'(app(), app'(app'(cons(), x), l)), k) -> app'#(app'(cons(), x), app'(app'(app(), l), k)))
     (app'#(app'(map(), f), app'(app'(cons(), x), xs)) -> app'#(f, x), app'#(app'(app(), app'(app'(cons(), x), l)), k) -> app'#(app'(app(), l), k))
     (app'#(app'(map(), f), app'(app'(cons(), x), xs)) -> app'#(f, x), app'#(app'(quot(), app'(s(), x)), app'(s(), y)) -> app'#(quot(), app'(app'(minus(), x), y)))
     (app'#(app'(map(), f), app'(app'(cons(), x), xs)) -> app'#(f, x), app'#(app'(quot(), app'(s(), x)), app'(s(), y)) -> app'#(s(), app'(app'(quot(), app'(app'(minus(), x), y)), app'(s(), y))))
     (app'#(app'(map(), f), app'(app'(cons(), x), xs)) -> app'#(f, x), app'#(app'(quot(), app'(s(), x)), app'(s(), y)) -> app'#(minus(), x))
     (app'#(app'(map(), f), app'(app'(cons(), x), xs)) -> app'#(f, x), app'#(app'(quot(), app'(s(), x)), app'(s(), y)) -> app'#(app'(quot(), app'(app'(minus(), x), y)), app'(s(), y)))
     (app'#(app'(map(), f), app'(app'(cons(), x), xs)) -> app'#(f, x), app'#(app'(quot(), app'(s(), x)), app'(s(), y)) -> app'#(app'(minus(), x), y))
     (app'#(app'(map(), f), app'(app'(cons(), x), xs)) -> app'#(f, x), app'#(app'(plus(), app'(s(), x)), y) -> app'#(plus(), x))
     (app'#(app'(map(), f), app'(app'(cons(), x), xs)) -> app'#(f, x), app'#(app'(plus(), app'(s(), x)), y) -> app'#(s(), app'(app'(plus(), x), y)))
     (app'#(app'(map(), f), app'(app'(cons(), x), xs)) -> app'#(f, x), app'#(app'(plus(), app'(s(), x)), y) -> app'#(app'(plus(), x), y))
     (app'#(app'(map(), f), app'(app'(cons(), x), xs)) -> app'#(f, x), app'#(app'(minus(), app'(s(), x)), app'(s(), y)) -> app'#(minus(), x))
     (app'#(app'(map(), f), app'(app'(cons(), x), xs)) -> app'#(f, x), app'#(app'(minus(), app'(s(), x)), app'(s(), y)) -> app'#(app'(minus(), x), y))
     (app'#(app'(map(), f), app'(app'(cons(), x), xs)) -> app'#(f, x), app'#(app'(minus(), app'(app'(minus(), x), y)), z) -> app'#(plus(), y))
     (app'#(app'(map(), f), app'(app'(cons(), x), xs)) -> app'#(f, x), app'#(app'(minus(), app'(app'(minus(), x), y)), z) -> app'#(app'(plus(), y), z))
     (app'#(app'(map(), f), app'(app'(cons(), x), xs)) -> app'#(f, x), app'#(app'(minus(), app'(app'(minus(), x), y)), z) -> app'#(app'(minus(), x), app'(app'(plus(), y), z)))
     (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'(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'(minus(), app'(app'(minus(), x), y)), z) -> app'#(app'(minus(), x), app'(app'(plus(), y), z)))
     (app'#(app'(filter(), f), app'(app'(cons(), x), xs)) -> app'#(f, x), app'#(app'(minus(), app'(app'(minus(), x), y)), z) -> app'#(app'(plus(), y), z))
     (app'#(app'(filter(), f), app'(app'(cons(), x), xs)) -> app'#(f, x), app'#(app'(minus(), app'(app'(minus(), x), y)), z) -> app'#(plus(), y))
     (app'#(app'(filter(), f), app'(app'(cons(), x), xs)) -> app'#(f, x), app'#(app'(minus(), app'(s(), x)), app'(s(), y)) -> app'#(app'(minus(), x), y))
     (app'#(app'(filter(), f), app'(app'(cons(), x), xs)) -> app'#(f, x), app'#(app'(minus(), app'(s(), x)), app'(s(), y)) -> app'#(minus(), x))
     (app'#(app'(filter(), f), app'(app'(cons(), x), xs)) -> app'#(f, x), app'#(app'(plus(), app'(s(), x)), y) -> app'#(app'(plus(), x), y))
     (app'#(app'(filter(), f), app'(app'(cons(), x), xs)) -> app'#(f, x), app'#(app'(plus(), app'(s(), x)), y) -> app'#(s(), app'(app'(plus(), x), y)))
     (app'#(app'(filter(), f), app'(app'(cons(), x), xs)) -> app'#(f, x), app'#(app'(plus(), app'(s(), x)), y) -> app'#(plus(), x))
     (app'#(app'(filter(), f), app'(app'(cons(), x), xs)) -> app'#(f, x), app'#(app'(quot(), app'(s(), x)), app'(s(), y)) -> app'#(app'(minus(), x), y))
     (app'#(app'(filter(), f), app'(app'(cons(), x), xs)) -> app'#(f, x), app'#(app'(quot(), app'(s(), x)), app'(s(), y)) -> app'#(app'(quot(), app'(app'(minus(), x), y)), app'(s(), y)))
     (app'#(app'(filter(), f), app'(app'(cons(), x), xs)) -> app'#(f, x), app'#(app'(quot(), app'(s(), x)), app'(s(), y)) -> app'#(minus(), x))
     (app'#(app'(filter(), f), app'(app'(cons(), x), xs)) -> app'#(f, x), app'#(app'(quot(), app'(s(), x)), app'(s(), y)) -> app'#(s(), app'(app'(quot(), app'(app'(minus(), x), y)), app'(s(), y))))
     (app'#(app'(filter(), f), app'(app'(cons(), x), xs)) -> app'#(f, x), app'#(app'(quot(), app'(s(), x)), app'(s(), y)) -> app'#(quot(), app'(app'(minus(), x), y)))
     (app'#(app'(filter(), f), app'(app'(cons(), x), xs)) -> app'#(f, x), app'#(app'(app(), app'(app'(cons(), x), l)), k) -> app'#(app'(app(), l), k))
     (app'#(app'(filter(), f), app'(app'(cons(), x), xs)) -> app'#(f, x), app'#(app'(app(), app'(app'(cons(), x), l)), k) -> app'#(app'(cons(), x), app'(app'(app(), l), k)))
     (app'#(app'(filter(), f), app'(app'(cons(), x), xs)) -> app'#(f, x), app'#(app'(app(), app'(app'(cons(), x), l)), k) -> app'#(app(), l))
     (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'#(sum(), app'(app'(app(), l), app'(app'(cons(), x), app'(app'(cons(), y), k)))) -> app'#(app'(app(), l), app'(sum(), app'(app'(cons(), x), app'(app'(cons(), y), k)))))
     (app'#(app'(filter(), f), app'(app'(cons(), x), xs)) -> app'#(f, x), app'#(sum(), app'(app'(app(), l), app'(app'(cons(), x), app'(app'(cons(), y), k)))) -> app'#(sum(), app'(app'(app(), l), app'(sum(), app'(app'(cons(), x), app'(app'(cons(), y), k))))))
     (app'#(app'(filter(), f), app'(app'(cons(), x), xs)) -> app'#(f, x), app'#(sum(), app'(app'(app(), l), app'(app'(cons(), x), app'(app'(cons(), y), k)))) -> app'#(sum(), app'(app'(cons(), x), app'(app'(cons(), y), k))))
     (app'#(app'(filter(), f), app'(app'(cons(), x), xs)) -> app'#(f, x), app'#(sum(), app'(app'(cons(), x), app'(app'(cons(), y), l))) -> app'#(app'(plus(), x), y))
     (app'#(app'(filter(), f), app'(app'(cons(), x), xs)) -> app'#(f, x), app'#(sum(), app'(app'(cons(), x), app'(app'(cons(), y), l))) -> app'#(app'(cons(), app'(app'(plus(), x), y)), l))
     (app'#(app'(filter(), f), app'(app'(cons(), x), xs)) -> app'#(f, x), app'#(sum(), app'(app'(cons(), x), app'(app'(cons(), y), l))) -> app'#(plus(), x))
     (app'#(app'(filter(), f), app'(app'(cons(), x), xs)) -> app'#(f, x), app'#(sum(), app'(app'(cons(), x), app'(app'(cons(), y), l))) -> app'#(cons(), app'(app'(plus(), x), y)))
     (app'#(app'(filter(), f), app'(app'(cons(), x), xs)) -> app'#(f, x), app'#(sum(), app'(app'(cons(), x), app'(app'(cons(), y), l))) -> app'#(sum(), app'(app'(cons(), app'(app'(plus(), x), y)), l)))
     (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'(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'#(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'#(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(), 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'(minus(), app'(app'(minus(), x), y)), z) -> app'#(app'(minus(), x), app'(app'(plus(), y), z)))
     (app'#(app'(filter(), f), app'(app'(cons(), x), xs)) -> app'#(app'(app'(app'(filter2(), app'(f, x)), f), x), xs), app'#(app'(minus(), app'(app'(minus(), x), y)), z) -> app'#(app'(plus(), y), z))
     (app'#(app'(filter(), f), app'(app'(cons(), x), xs)) -> app'#(app'(app'(app'(filter2(), app'(f, x)), f), x), xs), app'#(app'(minus(), app'(app'(minus(), x), y)), z) -> app'#(plus(), y))
     (app'#(app'(filter(), f), app'(app'(cons(), x), xs)) -> app'#(app'(app'(app'(filter2(), app'(f, x)), f), x), xs), app'#(app'(minus(), app'(s(), x)), app'(s(), y)) -> app'#(app'(minus(), x), y))
     (app'#(app'(filter(), f), app'(app'(cons(), x), xs)) -> app'#(app'(app'(app'(filter2(), app'(f, x)), f), x), xs), app'#(app'(minus(), app'(s(), x)), app'(s(), y)) -> app'#(minus(), x))
     (app'#(app'(filter(), f), app'(app'(cons(), x), xs)) -> app'#(app'(app'(app'(filter2(), app'(f, x)), f), x), xs), app'#(app'(plus(), app'(s(), x)), y) -> app'#(app'(plus(), x), y))
     (app'#(app'(filter(), f), app'(app'(cons(), x), xs)) -> app'#(app'(app'(app'(filter2(), app'(f, x)), f), x), xs), app'#(app'(plus(), app'(s(), x)), y) -> app'#(s(), app'(app'(plus(), x), y)))
     (app'#(app'(filter(), f), app'(app'(cons(), x), xs)) -> app'#(app'(app'(app'(filter2(), app'(f, x)), f), x), xs), app'#(app'(plus(), app'(s(), x)), y) -> app'#(plus(), x))
     (app'#(app'(filter(), f), app'(app'(cons(), x), xs)) -> app'#(app'(app'(app'(filter2(), app'(f, x)), f), x), xs), app'#(app'(quot(), app'(s(), x)), app'(s(), y)) -> app'#(app'(minus(), x), y))
     (app'#(app'(filter(), f), app'(app'(cons(), x), xs)) -> app'#(app'(app'(app'(filter2(), app'(f, x)), f), x), xs), app'#(app'(quot(), app'(s(), x)), app'(s(), y)) -> app'#(app'(quot(), app'(app'(minus(), x), y)), app'(s(), y)))
     (app'#(app'(filter(), f), app'(app'(cons(), x), xs)) -> app'#(app'(app'(app'(filter2(), app'(f, x)), f), x), xs), app'#(app'(quot(), app'(s(), x)), app'(s(), y)) -> app'#(minus(), x))
     (app'#(app'(filter(), f), app'(app'(cons(), x), xs)) -> app'#(app'(app'(app'(filter2(), app'(f, x)), f), x), xs), app'#(app'(quot(), app'(s(), x)), app'(s(), y)) -> app'#(s(), app'(app'(quot(), app'(app'(minus(), x), y)), app'(s(), y))))
     (app'#(app'(filter(), f), app'(app'(cons(), x), xs)) -> app'#(app'(app'(app'(filter2(), app'(f, x)), f), x), xs), app'#(app'(quot(), app'(s(), x)), app'(s(), y)) -> app'#(quot(), app'(app'(minus(), x), y)))
     (app'#(app'(filter(), f), app'(app'(cons(), x), xs)) -> app'#(app'(app'(app'(filter2(), app'(f, x)), f), x), xs), app'#(app'(app(), app'(app'(cons(), x), l)), k) -> app'#(app'(app(), l), k))
     (app'#(app'(filter(), f), app'(app'(cons(), x), xs)) -> app'#(app'(app'(app'(filter2(), app'(f, x)), f), x), xs), app'#(app'(app(), app'(app'(cons(), x), l)), k) -> app'#(app'(cons(), x), app'(app'(app(), l), k)))
     (app'#(app'(filter(), f), app'(app'(cons(), x), xs)) -> app'#(app'(app'(app'(filter2(), app'(f, x)), f), x), xs), app'#(app'(app(), app'(app'(cons(), x), l)), k) -> app'#(app(), l))
     (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'(app'(filter2(), app'(f, x)), f), x), xs), 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'#(app'(app'(app'(filter2(), app'(f, x)), f), x), xs), app'#(app'(map(), f), app'(app'(cons(), x), xs)) -> app'#(app'(map(), f), xs))
     (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'#(cons(), 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'(app'(filter2(), app'(f, x)), f), x), xs), 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'(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'(app'(app'(filter2(), app'(f, x)), f), x), xs), 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'#(app'(app'(app'(filter2(), app'(f, x)), f), x), xs), app'#(app'(filter(), f), app'(app'(cons(), x), xs)) -> app'#(filter2(), app'(f, x)))
     (app'#(app'(filter(), f), app'(app'(cons(), x), xs)) -> app'#(app'(app'(app'(filter2(), app'(f, x)), f), x), xs), app'#(sum(), app'(app'(app(), l), app'(app'(cons(), x), app'(app'(cons(), y), k)))) -> app'#(app'(app(), l), app'(sum(), app'(app'(cons(), x), app'(app'(cons(), y), k)))))
     (app'#(app'(filter(), f), app'(app'(cons(), x), xs)) -> app'#(app'(app'(app'(filter2(), app'(f, x)), f), x), xs), app'#(sum(), app'(app'(app(), l), app'(app'(cons(), x), app'(app'(cons(), y), k)))) -> app'#(sum(), app'(app'(app(), l), app'(sum(), app'(app'(cons(), x), app'(app'(cons(), y), k))))))
     (app'#(app'(filter(), f), app'(app'(cons(), x), xs)) -> app'#(app'(app'(app'(filter2(), app'(f, x)), f), x), xs), app'#(sum(), app'(app'(app(), l), app'(app'(cons(), x), app'(app'(cons(), y), k)))) -> app'#(sum(), app'(app'(cons(), x), app'(app'(cons(), y), k))))
     (app'#(app'(filter(), f), app'(app'(cons(), x), xs)) -> app'#(app'(app'(app'(filter2(), app'(f, x)), f), x), xs), app'#(sum(), app'(app'(cons(), x), app'(app'(cons(), y), l))) -> app'#(app'(plus(), x), y))
     (app'#(app'(filter(), f), app'(app'(cons(), x), xs)) -> app'#(app'(app'(app'(filter2(), app'(f, x)), f), x), xs), app'#(sum(), app'(app'(cons(), x), app'(app'(cons(), y), l))) -> app'#(app'(cons(), app'(app'(plus(), x), y)), l))
     (app'#(app'(filter(), f), app'(app'(cons(), x), xs)) -> app'#(app'(app'(app'(filter2(), app'(f, x)), f), x), xs), app'#(sum(), app'(app'(cons(), x), app'(app'(cons(), y), l))) -> app'#(plus(), x))
     (app'#(app'(filter(), f), app'(app'(cons(), x), xs)) -> app'#(app'(app'(app'(filter2(), app'(f, x)), f), x), xs), app'#(sum(), app'(app'(cons(), x), app'(app'(cons(), y), l))) -> app'#(cons(), app'(app'(plus(), x), y)))
     (app'#(app'(filter(), f), app'(app'(cons(), x), xs)) -> app'#(app'(app'(app'(filter2(), app'(f, x)), f), x), xs), app'#(sum(), app'(app'(cons(), x), app'(app'(cons(), y), l))) -> app'#(sum(), app'(app'(cons(), app'(app'(plus(), x), y)), l)))
     (app'#(app'(app'(app'(filter2(), false()), f), x), xs) -> app'#(app'(filter(), f), xs), app'#(app'(app'(app'(filter2(), true()), f), x), xs) -> app'#(app'(cons(), x), app'(app'(filter(), f), xs)))
     (app'#(app'(app'(app'(filter2(), false()), f), x), xs) -> app'#(app'(filter(), f), xs), app'#(app'(app'(app'(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'(app'(app'(filter2(), true()), f), x), xs) -> app'#(cons(), x))
     (app'#(app'(app'(app'(filter2(), false()), f), x), xs) -> app'#(app'(filter(), f), xs), 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'#(app'(filter(), f), xs))
     (app'#(app'(app'(app'(filter2(), false()), f), x), xs) -> app'#(app'(filter(), f), xs), app'#(app'(app'(app'(filter2(), false()), f), x), xs) -> app'#(filter(), f))
     (app'#(app'(app'(app'(filter2(), false()), f), x), xs) -> app'#(app'(filter(), f), xs), app'#(app'(minus(), app'(app'(minus(), x), y)), z) -> app'#(app'(minus(), x), app'(app'(plus(), y), z)))
     (app'#(app'(app'(app'(filter2(), false()), f), x), xs) -> app'#(app'(filter(), f), xs), app'#(app'(minus(), app'(app'(minus(), x), y)), z) -> app'#(app'(plus(), y), z))
     (app'#(app'(app'(app'(filter2(), false()), f), x), xs) -> app'#(app'(filter(), f), xs), app'#(app'(minus(), app'(app'(minus(), x), y)), z) -> app'#(plus(), y))
     (app'#(app'(app'(app'(filter2(), false()), f), x), xs) -> app'#(app'(filter(), f), xs), app'#(app'(minus(), app'(s(), x)), app'(s(), y)) -> app'#(app'(minus(), x), y))
     (app'#(app'(app'(app'(filter2(), false()), f), x), xs) -> app'#(app'(filter(), f), xs), app'#(app'(minus(), app'(s(), x)), app'(s(), y)) -> app'#(minus(), x))
     (app'#(app'(app'(app'(filter2(), false()), f), x), xs) -> app'#(app'(filter(), f), xs), app'#(app'(plus(), app'(s(), x)), y) -> app'#(app'(plus(), x), y))
     (app'#(app'(app'(app'(filter2(), false()), f), x), xs) -> app'#(app'(filter(), f), xs), app'#(app'(plus(), app'(s(), x)), y) -> app'#(s(), app'(app'(plus(), x), y)))
     (app'#(app'(app'(app'(filter2(), false()), f), x), xs) -> app'#(app'(filter(), f), xs), app'#(app'(plus(), app'(s(), x)), y) -> app'#(plus(), x))
     (app'#(app'(app'(app'(filter2(), false()), f), x), xs) -> app'#(app'(filter(), f), xs), app'#(app'(quot(), app'(s(), x)), app'(s(), y)) -> app'#(app'(minus(), x), y))
     (app'#(app'(app'(app'(filter2(), false()), f), x), xs) -> app'#(app'(filter(), f), xs), app'#(app'(quot(), app'(s(), x)), app'(s(), y)) -> app'#(app'(quot(), app'(app'(minus(), x), y)), app'(s(), y)))
     (app'#(app'(app'(app'(filter2(), false()), f), x), xs) -> app'#(app'(filter(), f), xs), app'#(app'(quot(), app'(s(), x)), app'(s(), y)) -> app'#(minus(), x))
     (app'#(app'(app'(app'(filter2(), false()), f), x), xs) -> app'#(app'(filter(), f), xs), app'#(app'(quot(), app'(s(), x)), app'(s(), y)) -> app'#(s(), app'(app'(quot(), app'(app'(minus(), x), y)), app'(s(), y))))
     (app'#(app'(app'(app'(filter2(), false()), f), x), xs) -> app'#(app'(filter(), f), xs), app'#(app'(quot(), app'(s(), x)), app'(s(), y)) -> app'#(quot(), app'(app'(minus(), x), y)))
     (app'#(app'(app'(app'(filter2(), false()), f), x), xs) -> app'#(app'(filter(), f), xs), app'#(app'(app(), app'(app'(cons(), x), l)), k) -> app'#(app'(app(), l), k))
     (app'#(app'(app'(app'(filter2(), false()), f), x), xs) -> app'#(app'(filter(), f), xs), app'#(app'(app(), app'(app'(cons(), x), l)), k) -> app'#(app'(cons(), x), app'(app'(app(), l), k)))
     (app'#(app'(app'(app'(filter2(), false()), f), x), xs) -> app'#(app'(filter(), f), xs), app'#(app'(app(), app'(app'(cons(), x), l)), k) -> app'#(app(), l))
     (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'#(app'(filter(), f), xs), app'#(app'(map(), f), app'(app'(cons(), x), xs)) -> app'#(app'(cons(), app'(f, x)), app'(app'(map(), 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'#(app'(map(), 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'#(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(), false()), f), x), xs) -> app'#(app'(filter(), f), xs), app'#(sum(), app'(app'(app(), l), app'(app'(cons(), x), app'(app'(cons(), y), k)))) -> app'#(app'(app(), l), app'(sum(), app'(app'(cons(), x), app'(app'(cons(), y), k)))))
     (app'#(app'(app'(app'(filter2(), false()), f), x), xs) -> app'#(app'(filter(), f), xs), app'#(sum(), app'(app'(app(), l), app'(app'(cons(), x), app'(app'(cons(), y), k)))) -> app'#(sum(), app'(app'(app(), l), app'(sum(), app'(app'(cons(), x), app'(app'(cons(), y), k))))))
     (app'#(app'(app'(app'(filter2(), false()), f), x), xs) -> app'#(app'(filter(), f), xs), app'#(sum(), app'(app'(app(), l), app'(app'(cons(), x), app'(app'(cons(), y), k)))) -> app'#(sum(), app'(app'(cons(), x), app'(app'(cons(), y), k))))
     (app'#(app'(app'(app'(filter2(), false()), f), x), xs) -> app'#(app'(filter(), f), xs), app'#(sum(), app'(app'(cons(), x), app'(app'(cons(), y), l))) -> app'#(app'(plus(), x), y))
     (app'#(app'(app'(app'(filter2(), false()), f), x), xs) -> app'#(app'(filter(), f), xs), app'#(sum(), app'(app'(cons(), x), app'(app'(cons(), y), l))) -> app'#(app'(cons(), app'(app'(plus(), x), y)), l))
     (app'#(app'(app'(app'(filter2(), false()), f), x), xs) -> app'#(app'(filter(), f), xs), app'#(sum(), app'(app'(cons(), x), app'(app'(cons(), y), l))) -> app'#(plus(), x))
     (app'#(app'(app'(app'(filter2(), false()), f), x), xs) -> app'#(app'(filter(), f), xs), app'#(sum(), app'(app'(cons(), x), app'(app'(cons(), y), l))) -> app'#(cons(), app'(app'(plus(), x), y)))
     (app'#(app'(app'(app'(filter2(), false()), f), x), xs) -> app'#(app'(filter(), f), xs), app'#(sum(), app'(app'(cons(), x), app'(app'(cons(), y), l))) -> app'#(sum(), app'(app'(cons(), app'(app'(plus(), x), y)), l)))
     (app'#(app'(app(), app'(app'(cons(), x), l)), k) -> app'#(app(), l), app'#(app'(app'(app'(filter2(), true()), f), x), xs) -> app'#(app'(cons(), x), app'(app'(filter(), f), xs)))
     (app'#(app'(app(), app'(app'(cons(), x), l)), k) -> app'#(app(), l), app'#(app'(app'(app'(filter2(), true()), f), x), xs) -> app'#(app'(filter(), f), xs))
     (app'#(app'(app(), app'(app'(cons(), x), l)), k) -> app'#(app(), l), app'#(app'(app'(app'(filter2(), true()), f), x), xs) -> app'#(cons(), x))
     (app'#(app'(app(), app'(app'(cons(), x), l)), k) -> app'#(app(), l), app'#(app'(app'(app'(filter2(), true()), f), x), xs) -> app'#(filter(), f))
     (app'#(app'(app(), app'(app'(cons(), x), l)), k) -> app'#(app(), l), app'#(app'(app'(app'(filter2(), false()), f), x), xs) -> app'#(app'(filter(), f), xs))
     (app'#(app'(app(), app'(app'(cons(), x), l)), k) -> app'#(app(), l), app'#(app'(app'(app'(filter2(), false()), f), x), xs) -> app'#(filter(), f))
     (app'#(app'(app(), app'(app'(cons(), x), l)), k) -> app'#(app(), l), app'#(app'(minus(), app'(app'(minus(), x), y)), z) -> app'#(app'(minus(), x), app'(app'(plus(), y), z)))
     (app'#(app'(app(), app'(app'(cons(), x), l)), k) -> app'#(app(), l), app'#(app'(minus(), app'(app'(minus(), x), y)), z) -> app'#(app'(plus(), y), z))
     (app'#(app'(app(), app'(app'(cons(), x), l)), k) -> app'#(app(), l), app'#(app'(minus(), app'(app'(minus(), x), y)), z) -> app'#(plus(), y))
     (app'#(app'(app(), app'(app'(cons(), x), l)), k) -> app'#(app(), l), app'#(app'(minus(), app'(s(), x)), app'(s(), y)) -> app'#(app'(minus(), x), y))
     (app'#(app'(app(), app'(app'(cons(), x), l)), k) -> app'#(app(), l), app'#(app'(minus(), app'(s(), x)), app'(s(), y)) -> app'#(minus(), x))
     (app'#(app'(app(), app'(app'(cons(), x), l)), k) -> app'#(app(), l), app'#(app'(plus(), app'(s(), x)), y) -> app'#(app'(plus(), x), y))
     (app'#(app'(app(), app'(app'(cons(), x), l)), k) -> app'#(app(), l), app'#(app'(plus(), app'(s(), x)), y) -> app'#(s(), app'(app'(plus(), x), y)))
     (app'#(app'(app(), app'(app'(cons(), x), l)), k) -> app'#(app(), l), app'#(app'(plus(), app'(s(), x)), y) -> app'#(plus(), x))
     (app'#(app'(app(), app'(app'(cons(), x), l)), k) -> app'#(app(), l), app'#(app'(quot(), app'(s(), x)), app'(s(), y)) -> app'#(app'(minus(), x), y))
     (app'#(app'(app(), app'(app'(cons(), x), l)), k) -> app'#(app(), l), app'#(app'(quot(), app'(s(), x)), app'(s(), y)) -> app'#(app'(quot(), app'(app'(minus(), x), y)), app'(s(), y)))
     (app'#(app'(app(), app'(app'(cons(), x), l)), k) -> app'#(app(), l), app'#(app'(quot(), app'(s(), x)), app'(s(), y)) -> app'#(minus(), x))
     (app'#(app'(app(), app'(app'(cons(), x), l)), k) -> app'#(app(), l), app'#(app'(quot(), app'(s(), x)), app'(s(), y)) -> app'#(s(), app'(app'(quot(), app'(app'(minus(), x), y)), app'(s(), y))))
     (app'#(app'(app(), app'(app'(cons(), x), l)), k) -> app'#(app(), l), app'#(app'(quot(), app'(s(), x)), app'(s(), y)) -> app'#(quot(), app'(app'(minus(), x), y)))
     (app'#(app'(app(), app'(app'(cons(), x), l)), k) -> app'#(app(), l), app'#(app'(app(), app'(app'(cons(), x), l)), k) -> app'#(app'(app(), l), k))
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     (app'#(app'(app(), app'(app'(cons(), x), l)), k) -> app'#(app(), l), app'#(app'(app(), app'(app'(cons(), x), l)), k) -> app'#(app(), l))
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     (app'#(app'(app(), app'(app'(cons(), x), l)), k) -> app'#(app(), l), app'#(app'(map(), f), app'(app'(cons(), x), xs)) -> app'#(app'(cons(), app'(f, x)), app'(app'(map(), f), xs)))
     (app'#(app'(app(), app'(app'(cons(), x), l)), k) -> app'#(app(), l), app'#(app'(map(), f), app'(app'(cons(), x), xs)) -> app'#(app'(map(), f), xs))
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     (app'#(app'(app(), app'(app'(cons(), x), l)), k) -> app'#(app(), l), app'#(app'(filter(), f), app'(app'(cons(), x), xs)) -> app'#(app'(app'(app'(filter2(), app'(f, x)), f), x), xs))
     (app'#(app'(app(), app'(app'(cons(), x), l)), k) -> app'#(app(), l), app'#(app'(filter(), f), app'(app'(cons(), x), xs)) -> app'#(app'(app'(filter2(), app'(f, x)), f), x))
     (app'#(app'(app(), app'(app'(cons(), x), l)), k) -> app'#(app(), l), app'#(app'(filter(), f), app'(app'(cons(), x), xs)) -> app'#(app'(filter2(), app'(f, x)), f))
     (app'#(app'(app(), app'(app'(cons(), x), l)), k) -> app'#(app(), l), app'#(app'(filter(), f), app'(app'(cons(), x), xs)) -> app'#(filter2(), app'(f, x)))
     (app'#(app'(app(), app'(app'(cons(), x), l)), k) -> app'#(app(), l), app'#(sum(), app'(app'(app(), l), app'(app'(cons(), x), app'(app'(cons(), y), k)))) -> app'#(app'(app(), l), app'(sum(), app'(app'(cons(), x), app'(app'(cons(), y), k)))))
     (app'#(app'(app(), app'(app'(cons(), x), l)), k) -> app'#(app(), l), app'#(sum(), app'(app'(app(), l), app'(app'(cons(), x), app'(app'(cons(), y), k)))) -> app'#(sum(), app'(app'(app(), l), app'(sum(), app'(app'(cons(), x), app'(app'(cons(), y), k))))))
     (app'#(app'(app(), app'(app'(cons(), x), l)), k) -> app'#(app(), l), app'#(sum(), app'(app'(app(), l), app'(app'(cons(), x), app'(app'(cons(), y), k)))) -> app'#(sum(), app'(app'(cons(), x), app'(app'(cons(), y), k))))
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     (app'#(app'(quot(), app'(s(), x)), app'(s(), y)) -> app'#(minus(), x), app'#(app'(app'(app'(filter2(), true()), f), x), xs) -> app'#(app'(filter(), f), xs))
     (app'#(app'(quot(), app'(s(), x)), app'(s(), y)) -> app'#(minus(), x), app'#(app'(app'(app'(filter2(), true()), f), x), xs) -> app'#(cons(), x))
     (app'#(app'(quot(), app'(s(), x)), app'(s(), y)) -> app'#(minus(), x), app'#(app'(app'(app'(filter2(), true()), f), x), xs) -> app'#(filter(), f))
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     (app'#(app'(quot(), app'(s(), x)), app'(s(), y)) -> app'#(minus(), x), app'#(app'(app'(app'(filter2(), false()), f), x), xs) -> app'#(filter(), f))
     (app'#(app'(quot(), app'(s(), x)), app'(s(), y)) -> app'#(minus(), x), app'#(app'(minus(), app'(app'(minus(), x), y)), z) -> app'#(app'(minus(), x), app'(app'(plus(), y), z)))
     (app'#(app'(quot(), app'(s(), x)), app'(s(), y)) -> app'#(minus(), x), app'#(app'(minus(), app'(app'(minus(), x), y)), z) -> app'#(app'(plus(), y), z))
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     (app'#(app'(quot(), app'(s(), x)), app'(s(), y)) -> app'#(minus(), x), app'#(app'(plus(), app'(s(), x)), y) -> app'#(app'(plus(), x), y))
     (app'#(app'(quot(), app'(s(), x)), app'(s(), y)) -> app'#(minus(), x), app'#(app'(plus(), app'(s(), x)), y) -> app'#(s(), app'(app'(plus(), x), y)))
     (app'#(app'(quot(), app'(s(), x)), app'(s(), y)) -> app'#(minus(), x), app'#(app'(plus(), app'(s(), x)), y) -> app'#(plus(), x))
     (app'#(app'(quot(), app'(s(), x)), app'(s(), y)) -> app'#(minus(), x), app'#(app'(quot(), app'(s(), x)), app'(s(), y)) -> app'#(app'(minus(), x), y))
     (app'#(app'(quot(), app'(s(), x)), app'(s(), y)) -> app'#(minus(), x), app'#(app'(quot(), app'(s(), x)), app'(s(), y)) -> app'#(app'(quot(), app'(app'(minus(), x), y)), app'(s(), y)))
     (app'#(app'(quot(), app'(s(), x)), app'(s(), y)) -> app'#(minus(), x), app'#(app'(quot(), app'(s(), x)), app'(s(), y)) -> app'#(minus(), x))
     (app'#(app'(quot(), app'(s(), x)), app'(s(), y)) -> app'#(minus(), x), app'#(app'(quot(), app'(s(), x)), app'(s(), y)) -> app'#(s(), app'(app'(quot(), app'(app'(minus(), x), y)), app'(s(), y))))
     (app'#(app'(quot(), app'(s(), x)), app'(s(), y)) -> app'#(minus(), x), app'#(app'(quot(), app'(s(), x)), app'(s(), y)) -> app'#(quot(), app'(app'(minus(), x), y)))
     (app'#(app'(quot(), app'(s(), x)), app'(s(), y)) -> app'#(minus(), x), app'#(app'(app(), app'(app'(cons(), x), l)), k) -> app'#(app'(app(), l), k))
     (app'#(app'(quot(), app'(s(), x)), app'(s(), y)) -> app'#(minus(), x), app'#(app'(app(), app'(app'(cons(), x), l)), k) -> app'#(app'(cons(), x), app'(app'(app(), l), k)))
     (app'#(app'(quot(), app'(s(), x)), app'(s(), y)) -> app'#(minus(), x), app'#(app'(app(), app'(app'(cons(), x), l)), k) -> app'#(app(), l))
     (app'#(app'(quot(), app'(s(), x)), app'(s(), y)) -> app'#(minus(), x), app'#(app'(map(), f), app'(app'(cons(), x), xs)) -> app'#(f, x))
     (app'#(app'(quot(), app'(s(), x)), app'(s(), y)) -> app'#(minus(), x), app'#(app'(map(), f), app'(app'(cons(), x), xs)) -> app'#(app'(cons(), app'(f, x)), app'(app'(map(), f), xs)))
     (app'#(app'(quot(), app'(s(), x)), app'(s(), y)) -> app'#(minus(), x), app'#(app'(map(), f), app'(app'(cons(), x), xs)) -> app'#(app'(map(), f), xs))
     (app'#(app'(quot(), app'(s(), x)), app'(s(), y)) -> app'#(minus(), x), app'#(app'(map(), f), app'(app'(cons(), x), xs)) -> app'#(cons(), app'(f, x)))
     (app'#(app'(quot(), app'(s(), x)), app'(s(), y)) -> app'#(minus(), x), app'#(app'(filter(), f), app'(app'(cons(), x), xs)) -> app'#(f, x))
     (app'#(app'(quot(), app'(s(), x)), app'(s(), y)) -> app'#(minus(), x), app'#(app'(filter(), f), app'(app'(cons(), x), xs)) -> app'#(app'(app'(app'(filter2(), app'(f, x)), f), x), xs))
     (app'#(app'(quot(), app'(s(), x)), app'(s(), y)) -> app'#(minus(), x), app'#(app'(filter(), f), app'(app'(cons(), x), xs)) -> app'#(app'(app'(filter2(), app'(f, x)), f), x))
     (app'#(app'(quot(), app'(s(), x)), app'(s(), y)) -> app'#(minus(), x), app'#(app'(filter(), f), app'(app'(cons(), x), xs)) -> app'#(app'(filter2(), app'(f, x)), f))
     (app'#(app'(quot(), app'(s(), x)), app'(s(), y)) -> app'#(minus(), x), app'#(app'(filter(), f), app'(app'(cons(), x), xs)) -> app'#(filter2(), app'(f, x)))
     (app'#(app'(quot(), app'(s(), x)), app'(s(), y)) -> app'#(minus(), x), app'#(sum(), app'(app'(app(), l), app'(app'(cons(), x), app'(app'(cons(), y), k)))) -> app'#(app'(app(), l), app'(sum(), app'(app'(cons(), x), app'(app'(cons(), y), k)))))
     (app'#(app'(quot(), app'(s(), x)), app'(s(), y)) -> app'#(minus(), x), app'#(sum(), app'(app'(app(), l), app'(app'(cons(), x), app'(app'(cons(), y), k)))) -> app'#(sum(), app'(app'(app(), l), app'(sum(), app'(app'(cons(), x), app'(app'(cons(), y), k))))))
     (app'#(app'(quot(), app'(s(), x)), app'(s(), y)) -> app'#(minus(), x), app'#(sum(), app'(app'(app(), l), app'(app'(cons(), x), app'(app'(cons(), y), k)))) -> app'#(sum(), app'(app'(cons(), x), app'(app'(cons(), y), k))))
     (app'#(app'(quot(), app'(s(), x)), app'(s(), y)) -> app'#(minus(), x), app'#(sum(), app'(app'(cons(), x), app'(app'(cons(), y), l))) -> app'#(app'(plus(), x), y))
     (app'#(app'(quot(), app'(s(), x)), app'(s(), y)) -> app'#(minus(), x), app'#(sum(), app'(app'(cons(), x), app'(app'(cons(), y), l))) -> app'#(app'(cons(), app'(app'(plus(), x), y)), l))
     (app'#(app'(quot(), app'(s(), x)), app'(s(), y)) -> app'#(minus(), x), app'#(sum(), app'(app'(cons(), x), app'(app'(cons(), y), l))) -> app'#(plus(), x))
     (app'#(app'(quot(), app'(s(), x)), app'(s(), y)) -> app'#(minus(), x), app'#(sum(), app'(app'(cons(), x), app'(app'(cons(), y), l))) -> app'#(cons(), app'(app'(plus(), x), y)))
     (app'#(app'(quot(), app'(s(), x)), app'(s(), y)) -> app'#(minus(), x), app'#(sum(), app'(app'(cons(), x), app'(app'(cons(), y), l))) -> app'#(sum(), app'(app'(cons(), app'(app'(plus(), x), y)), l)))
     (app'#(app'(minus(), app'(s(), x)), app'(s(), y)) -> app'#(minus(), x), app'#(app'(app'(app'(filter2(), true()), f), x), xs) -> app'#(app'(cons(), x), app'(app'(filter(), f), xs)))
     (app'#(app'(minus(), app'(s(), x)), app'(s(), y)) -> app'#(minus(), x), app'#(app'(app'(app'(filter2(), true()), f), x), xs) -> app'#(app'(filter(), f), xs))
     (app'#(app'(minus(), app'(s(), x)), app'(s(), y)) -> app'#(minus(), x), app'#(app'(app'(app'(filter2(), true()), f), x), xs) -> app'#(cons(), x))
     (app'#(app'(minus(), app'(s(), x)), app'(s(), y)) -> app'#(minus(), x), app'#(app'(app'(app'(filter2(), true()), f), x), xs) -> app'#(filter(), f))
     (app'#(app'(minus(), app'(s(), x)), app'(s(), y)) -> app'#(minus(), x), app'#(app'(app'(app'(filter2(), false()), f), x), xs) -> app'#(app'(filter(), f), xs))
     (app'#(app'(minus(), app'(s(), x)), app'(s(), y)) -> app'#(minus(), x), app'#(app'(app'(app'(filter2(), false()), f), x), xs) -> app'#(filter(), f))
     (app'#(app'(minus(), app'(s(), x)), app'(s(), y)) -> app'#(minus(), x), app'#(app'(minus(), app'(app'(minus(), x), y)), z) -> app'#(app'(minus(), x), app'(app'(plus(), y), z)))
     (app'#(app'(minus(), app'(s(), x)), app'(s(), y)) -> app'#(minus(), x), app'#(app'(minus(), app'(app'(minus(), x), y)), z) -> app'#(app'(plus(), y), z))
     (app'#(app'(minus(), app'(s(), x)), app'(s(), y)) -> app'#(minus(), x), app'#(app'(minus(), app'(app'(minus(), x), y)), z) -> app'#(plus(), y))
     (app'#(app'(minus(), app'(s(), x)), app'(s(), y)) -> app'#(minus(), x), app'#(app'(minus(), app'(s(), x)), app'(s(), y)) -> app'#(app'(minus(), x), y))
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     (app'#(app'(minus(), app'(s(), x)), app'(s(), y)) -> app'#(minus(), x), app'#(app'(plus(), app'(s(), x)), y) -> app'#(app'(plus(), x), y))
     (app'#(app'(minus(), app'(s(), x)), app'(s(), y)) -> app'#(minus(), x), app'#(app'(plus(), app'(s(), x)), y) -> app'#(s(), app'(app'(plus(), x), y)))
     (app'#(app'(minus(), app'(s(), x)), app'(s(), y)) -> app'#(minus(), x), app'#(app'(plus(), app'(s(), x)), y) -> app'#(plus(), x))
     (app'#(app'(minus(), app'(s(), x)), app'(s(), y)) -> app'#(minus(), x), app'#(app'(quot(), app'(s(), x)), app'(s(), y)) -> app'#(app'(minus(), x), y))
     (app'#(app'(minus(), app'(s(), x)), app'(s(), y)) -> app'#(minus(), x), app'#(app'(quot(), app'(s(), x)), app'(s(), y)) -> app'#(app'(quot(), app'(app'(minus(), x), y)), app'(s(), y)))
     (app'#(app'(minus(), app'(s(), x)), app'(s(), y)) -> app'#(minus(), x), app'#(app'(quot(), app'(s(), x)), app'(s(), y)) -> app'#(minus(), x))
     (app'#(app'(minus(), app'(s(), x)), app'(s(), y)) -> app'#(minus(), x), app'#(app'(quot(), app'(s(), x)), app'(s(), y)) -> app'#(s(), app'(app'(quot(), app'(app'(minus(), x), y)), app'(s(), y))))
     (app'#(app'(minus(), app'(s(), x)), app'(s(), y)) -> app'#(minus(), x), app'#(app'(quot(), app'(s(), x)), app'(s(), y)) -> app'#(quot(), app'(app'(minus(), x), y)))
     (app'#(app'(minus(), app'(s(), x)), app'(s(), y)) -> app'#(minus(), x), app'#(app'(app(), app'(app'(cons(), x), l)), k) -> app'#(app'(app(), l), k))
     (app'#(app'(minus(), app'(s(), x)), app'(s(), y)) -> app'#(minus(), x), app'#(app'(app(), app'(app'(cons(), x), l)), k) -> app'#(app'(cons(), x), app'(app'(app(), l), k)))
     (app'#(app'(minus(), app'(s(), x)), app'(s(), y)) -> app'#(minus(), x), app'#(app'(app(), app'(app'(cons(), x), l)), k) -> app'#(app(), l))
     (app'#(app'(minus(), app'(s(), x)), app'(s(), y)) -> app'#(minus(), x), app'#(app'(map(), f), app'(app'(cons(), x), xs)) -> app'#(f, x))
     (app'#(app'(minus(), app'(s(), x)), app'(s(), y)) -> app'#(minus(), x), app'#(app'(map(), f), app'(app'(cons(), x), xs)) -> app'#(app'(cons(), app'(f, x)), app'(app'(map(), f), xs)))
     (app'#(app'(minus(), app'(s(), x)), app'(s(), y)) -> app'#(minus(), x), app'#(app'(map(), f), app'(app'(cons(), x), xs)) -> app'#(app'(map(), f), xs))
     (app'#(app'(minus(), app'(s(), x)), app'(s(), y)) -> app'#(minus(), x), app'#(app'(map(), f), app'(app'(cons(), x), xs)) -> app'#(cons(), app'(f, x)))
     (app'#(app'(minus(), app'(s(), x)), app'(s(), y)) -> app'#(minus(), x), app'#(app'(filter(), f), app'(app'(cons(), x), xs)) -> app'#(f, x))
     (app'#(app'(minus(), app'(s(), x)), app'(s(), y)) -> app'#(minus(), x), app'#(app'(filter(), f), app'(app'(cons(), x), xs)) -> app'#(app'(app'(app'(filter2(), app'(f, x)), f), x), xs))
     (app'#(app'(minus(), app'(s(), x)), app'(s(), y)) -> app'#(minus(), x), app'#(app'(filter(), f), app'(app'(cons(), x), xs)) -> app'#(app'(app'(filter2(), app'(f, x)), f), x))
     (app'#(app'(minus(), app'(s(), x)), app'(s(), y)) -> app'#(minus(), x), app'#(app'(filter(), f), app'(app'(cons(), x), xs)) -> app'#(app'(filter2(), app'(f, x)), f))
     (app'#(app'(minus(), app'(s(), x)), app'(s(), y)) -> app'#(minus(), x), app'#(app'(filter(), f), app'(app'(cons(), x), xs)) -> app'#(filter2(), app'(f, x)))
     (app'#(app'(minus(), app'(s(), x)), app'(s(), y)) -> app'#(minus(), x), app'#(sum(), app'(app'(app(), l), app'(app'(cons(), x), app'(app'(cons(), y), k)))) -> app'#(app'(app(), l), app'(sum(), app'(app'(cons(), x), app'(app'(cons(), y), k)))))
     (app'#(app'(minus(), app'(s(), x)), app'(s(), y)) -> app'#(minus(), x), app'#(sum(), app'(app'(app(), l), app'(app'(cons(), x), app'(app'(cons(), y), k)))) -> app'#(sum(), app'(app'(app(), l), app'(sum(), app'(app'(cons(), x), app'(app'(cons(), y), k))))))
     (app'#(app'(minus(), app'(s(), x)), app'(s(), y)) -> app'#(minus(), x), app'#(sum(), app'(app'(app(), l), app'(app'(cons(), x), app'(app'(cons(), y), k)))) -> app'#(sum(), app'(app'(cons(), x), app'(app'(cons(), y), k))))
     (app'#(app'(minus(), app'(s(), x)), app'(s(), y)) -> app'#(minus(), x), app'#(sum(), app'(app'(cons(), x), app'(app'(cons(), y), l))) -> app'#(app'(plus(), x), y))
     (app'#(app'(minus(), app'(s(), x)), app'(s(), y)) -> app'#(minus(), x), app'#(sum(), app'(app'(cons(), x), app'(app'(cons(), y), l))) -> app'#(app'(cons(), app'(app'(plus(), x), y)), l))
     (app'#(app'(minus(), app'(s(), x)), app'(s(), y)) -> app'#(minus(), x), app'#(sum(), app'(app'(cons(), x), app'(app'(cons(), y), l))) -> app'#(plus(), x))
     (app'#(app'(minus(), app'(s(), x)), app'(s(), y)) -> app'#(minus(), x), app'#(sum(), app'(app'(cons(), x), app'(app'(cons(), y), l))) -> app'#(cons(), app'(app'(plus(), x), y)))
     (app'#(app'(minus(), app'(s(), x)), app'(s(), y)) -> app'#(minus(), x), app'#(sum(), app'(app'(cons(), x), app'(app'(cons(), y), l))) -> app'#(sum(), app'(app'(cons(), app'(app'(plus(), x), y)), l)))
     (app'#(app'(app(), app'(app'(cons(), x), l)), k) -> app'#(app'(app(), l), k), app'#(app'(app'(app'(filter2(), true()), f), x), xs) -> app'#(app'(cons(), x), app'(app'(filter(), f), xs)))
     (app'#(app'(app(), app'(app'(cons(), x), l)), k) -> app'#(app'(app(), l), k), app'#(app'(app'(app'(filter2(), true()), f), x), xs) -> app'#(app'(filter(), f), xs))
     (app'#(app'(app(), app'(app'(cons(), x), l)), k) -> app'#(app'(app(), l), k), app'#(app'(app'(app'(filter2(), true()), f), x), xs) -> app'#(cons(), x))
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     (app'#(app'(app(), app'(app'(cons(), x), l)), k) -> app'#(app'(app(), l), k), app'#(app'(app'(app'(filter2(), false()), f), x), xs) -> app'#(app'(filter(), f), xs))
     (app'#(app'(app(), app'(app'(cons(), x), l)), k) -> app'#(app'(app(), l), k), app'#(app'(app'(app'(filter2(), false()), f), x), xs) -> app'#(filter(), f))
     (app'#(app'(app(), app'(app'(cons(), x), l)), k) -> app'#(app'(app(), l), k), app'#(app'(minus(), app'(app'(minus(), x), y)), z) -> app'#(app'(minus(), x), app'(app'(plus(), y), z)))
     (app'#(app'(app(), app'(app'(cons(), x), l)), k) -> app'#(app'(app(), l), k), app'#(app'(minus(), app'(app'(minus(), x), y)), z) -> app'#(app'(plus(), y), z))
     (app'#(app'(app(), app'(app'(cons(), x), l)), k) -> app'#(app'(app(), l), k), app'#(app'(minus(), app'(app'(minus(), x), y)), z) -> app'#(plus(), y))
     (app'#(app'(app(), app'(app'(cons(), x), l)), k) -> app'#(app'(app(), l), k), app'#(app'(minus(), app'(s(), x)), app'(s(), y)) -> app'#(app'(minus(), x), y))
     (app'#(app'(app(), app'(app'(cons(), x), l)), k) -> app'#(app'(app(), l), k), app'#(app'(minus(), app'(s(), x)), app'(s(), y)) -> app'#(minus(), x))
     (app'#(app'(app(), app'(app'(cons(), x), l)), k) -> app'#(app'(app(), l), k), app'#(app'(plus(), app'(s(), x)), y) -> app'#(app'(plus(), x), y))
     (app'#(app'(app(), app'(app'(cons(), x), l)), k) -> app'#(app'(app(), l), k), app'#(app'(plus(), app'(s(), x)), y) -> app'#(s(), app'(app'(plus(), x), y)))
     (app'#(app'(app(), app'(app'(cons(), x), l)), k) -> app'#(app'(app(), l), k), app'#(app'(plus(), app'(s(), x)), y) -> app'#(plus(), x))
     (app'#(app'(app(), app'(app'(cons(), x), l)), k) -> app'#(app'(app(), l), k), app'#(app'(quot(), app'(s(), x)), app'(s(), y)) -> app'#(app'(minus(), x), y))
     (app'#(app'(app(), app'(app'(cons(), x), l)), k) -> app'#(app'(app(), l), k), app'#(app'(quot(), app'(s(), x)), app'(s(), y)) -> app'#(app'(quot(), app'(app'(minus(), x), y)), app'(s(), y)))
     (app'#(app'(app(), app'(app'(cons(), x), l)), k) -> app'#(app'(app(), l), k), app'#(app'(quot(), app'(s(), x)), app'(s(), y)) -> app'#(minus(), x))
     (app'#(app'(app(), app'(app'(cons(), x), l)), k) -> app'#(app'(app(), l), k), app'#(app'(quot(), app'(s(), x)), app'(s(), y)) -> app'#(s(), app'(app'(quot(), app'(app'(minus(), x), y)), app'(s(), y))))
     (app'#(app'(app(), app'(app'(cons(), x), l)), k) -> app'#(app'(app(), l), k), app'#(app'(quot(), app'(s(), x)), app'(s(), y)) -> app'#(quot(), app'(app'(minus(), x), y)))
     (app'#(app'(app(), app'(app'(cons(), x), l)), k) -> app'#(app'(app(), l), k), app'#(app'(app(), app'(app'(cons(), x), l)), k) -> app'#(app'(app(), l), k))
     (app'#(app'(app(), app'(app'(cons(), x), l)), k) -> app'#(app'(app(), l), k), app'#(app'(app(), app'(app'(cons(), x), l)), k) -> app'#(app'(cons(), x), app'(app'(app(), l), k)))
     (app'#(app'(app(), app'(app'(cons(), x), l)), k) -> app'#(app'(app(), l), k), app'#(app'(app(), app'(app'(cons(), x), l)), k) -> app'#(app(), l))
     (app'#(app'(app(), app'(app'(cons(), x), l)), k) -> app'#(app'(app(), l), k), app'#(app'(map(), f), app'(app'(cons(), x), xs)) -> app'#(f, x))
     (app'#(app'(app(), app'(app'(cons(), x), l)), k) -> app'#(app'(app(), l), k), app'#(app'(map(), f), app'(app'(cons(), x), xs)) -> app'#(app'(cons(), app'(f, x)), app'(app'(map(), f), xs)))
     (app'#(app'(app(), app'(app'(cons(), x), l)), k) -> app'#(app'(app(), l), k), app'#(app'(map(), f), app'(app'(cons(), x), xs)) -> app'#(app'(map(), f), xs))
     (app'#(app'(app(), app'(app'(cons(), x), l)), k) -> app'#(app'(app(), l), k), app'#(app'(map(), f), app'(app'(cons(), x), xs)) -> app'#(cons(), app'(f, x)))
     (app'#(app'(app(), app'(app'(cons(), x), l)), k) -> app'#(app'(app(), l), k), app'#(app'(filter(), f), app'(app'(cons(), x), xs)) -> app'#(f, x))
     (app'#(app'(app(), app'(app'(cons(), x), l)), k) -> app'#(app'(app(), l), k), app'#(app'(filter(), f), app'(app'(cons(), x), xs)) -> app'#(app'(app'(app'(filter2(), app'(f, x)), f), x), xs))
     (app'#(app'(app(), app'(app'(cons(), x), l)), k) -> app'#(app'(app(), l), k), app'#(app'(filter(), f), app'(app'(cons(), x), xs)) -> app'#(app'(app'(filter2(), app'(f, x)), f), x))
     (app'#(app'(app(), app'(app'(cons(), x), l)), k) -> app'#(app'(app(), l), k), app'#(app'(filter(), f), app'(app'(cons(), x), xs)) -> app'#(app'(filter2(), app'(f, x)), f))
     (app'#(app'(app(), app'(app'(cons(), x), l)), k) -> app'#(app'(app(), l), k), app'#(app'(filter(), f), app'(app'(cons(), x), xs)) -> app'#(filter2(), app'(f, x)))
     (app'#(app'(app(), app'(app'(cons(), x), l)), k) -> app'#(app'(app(), l), k), app'#(sum(), app'(app'(app(), l), app'(app'(cons(), x), app'(app'(cons(), y), k)))) -> app'#(app'(app(), l), app'(sum(), app'(app'(cons(), x), app'(app'(cons(), y), k)))))
     (app'#(app'(app(), app'(app'(cons(), x), l)), k) -> app'#(app'(app(), l), k), app'#(sum(), app'(app'(app(), l), app'(app'(cons(), x), app'(app'(cons(), y), k)))) -> app'#(sum(), app'(app'(app(), l), app'(sum(), app'(app'(cons(), x), app'(app'(cons(), y), k))))))
     (app'#(app'(app(), app'(app'(cons(), x), l)), k) -> app'#(app'(app(), l), k), app'#(sum(), app'(app'(app(), l), app'(app'(cons(), x), app'(app'(cons(), y), k)))) -> app'#(sum(), app'(app'(cons(), x), app'(app'(cons(), y), k))))
     (app'#(app'(app(), app'(app'(cons(), x), l)), k) -> app'#(app'(app(), l), k), app'#(sum(), app'(app'(cons(), x), app'(app'(cons(), y), l))) -> app'#(app'(plus(), x), y))
     (app'#(app'(app(), app'(app'(cons(), x), l)), k) -> app'#(app'(app(), l), k), app'#(sum(), app'(app'(cons(), x), app'(app'(cons(), y), l))) -> app'#(app'(cons(), app'(app'(plus(), x), y)), l))
     (app'#(app'(app(), app'(app'(cons(), x), l)), k) -> app'#(app'(app(), l), k), app'#(sum(), app'(app'(cons(), x), app'(app'(cons(), y), l))) -> app'#(plus(), x))
     (app'#(app'(app(), app'(app'(cons(), x), l)), k) -> app'#(app'(app(), l), k), app'#(sum(), app'(app'(cons(), x), app'(app'(cons(), y), l))) -> app'#(cons(), app'(app'(plus(), x), y)))
     (app'#(app'(app(), app'(app'(cons(), x), l)), k) -> app'#(app'(app(), l), k), app'#(sum(), app'(app'(cons(), x), app'(app'(cons(), y), l))) -> app'#(sum(), app'(app'(cons(), app'(app'(plus(), x), y)), l)))
     (app'#(app'(app'(app'(filter2(), false()), f), x), xs) -> app'#(filter(), f), 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'#(filter(), f), app'#(app'(app'(app'(filter2(), true()), f), x), xs) -> app'#(app'(filter(), f), xs))
     (app'#(app'(app'(app'(filter2(), false()), f), x), xs) -> app'#(filter(), f), app'#(app'(app'(app'(filter2(), true()), f), x), xs) -> app'#(cons(), x))
     (app'#(app'(app'(app'(filter2(), false()), f), x), xs) -> app'#(filter(), f), app'#(app'(app'(app'(filter2(), true()), f), x), xs) -> app'#(filter(), f))
     (app'#(app'(app'(app'(filter2(), false()), f), x), xs) -> app'#(filter(), f), app'#(app'(app'(app'(filter2(), false()), f), x), xs) -> app'#(app'(filter(), f), xs))
     (app'#(app'(app'(app'(filter2(), false()), f), x), xs) -> app'#(filter(), f), app'#(app'(app'(app'(filter2(), false()), f), x), xs) -> app'#(filter(), f))
     (app'#(app'(app'(app'(filter2(), false()), f), x), xs) -> app'#(filter(), f), app'#(app'(minus(), app'(app'(minus(), x), y)), z) -> app'#(app'(minus(), x), app'(app'(plus(), y), z)))
     (app'#(app'(app'(app'(filter2(), false()), f), x), xs) -> app'#(filter(), f), app'#(app'(minus(), app'(app'(minus(), x), y)), z) -> app'#(app'(plus(), y), z))
     (app'#(app'(app'(app'(filter2(), false()), f), x), xs) -> app'#(filter(), f), app'#(app'(minus(), app'(app'(minus(), x), y)), z) -> app'#(plus(), y))
     (app'#(app'(app'(app'(filter2(), false()), f), x), xs) -> app'#(filter(), f), app'#(app'(minus(), app'(s(), x)), app'(s(), y)) -> app'#(app'(minus(), x), y))
     (app'#(app'(app'(app'(filter2(), false()), f), x), xs) -> app'#(filter(), f), app'#(app'(minus(), app'(s(), x)), app'(s(), y)) -> app'#(minus(), x))
     (app'#(app'(app'(app'(filter2(), false()), f), x), xs) -> app'#(filter(), f), app'#(app'(plus(), app'(s(), x)), y) -> app'#(app'(plus(), x), y))
     (app'#(app'(app'(app'(filter2(), false()), f), x), xs) -> app'#(filter(), f), app'#(app'(plus(), app'(s(), x)), y) -> app'#(s(), app'(app'(plus(), x), y)))
     (app'#(app'(app'(app'(filter2(), false()), f), x), xs) -> app'#(filter(), f), app'#(app'(plus(), app'(s(), x)), y) -> app'#(plus(), x))
     (app'#(app'(app'(app'(filter2(), false()), f), x), xs) -> app'#(filter(), f), app'#(app'(quot(), app'(s(), x)), app'(s(), y)) -> app'#(app'(minus(), x), y))
     (app'#(app'(app'(app'(filter2(), false()), f), x), xs) -> app'#(filter(), f), app'#(app'(quot(), app'(s(), x)), app'(s(), y)) -> app'#(app'(quot(), app'(app'(minus(), x), y)), app'(s(), y)))
     (app'#(app'(app'(app'(filter2(), false()), f), x), xs) -> app'#(filter(), f), app'#(app'(quot(), app'(s(), x)), app'(s(), y)) -> app'#(minus(), x))
     (app'#(app'(app'(app'(filter2(), false()), f), x), xs) -> app'#(filter(), f), app'#(app'(quot(), app'(s(), x)), app'(s(), y)) -> app'#(s(), app'(app'(quot(), app'(app'(minus(), x), y)), app'(s(), y))))
     (app'#(app'(app'(app'(filter2(), false()), f), x), xs) -> app'#(filter(), f), app'#(app'(quot(), app'(s(), x)), app'(s(), y)) -> app'#(quot(), app'(app'(minus(), x), y)))
     (app'#(app'(app'(app'(filter2(), false()), f), x), xs) -> app'#(filter(), f), app'#(app'(app(), app'(app'(cons(), x), l)), k) -> app'#(app'(app(), l), k))
     (app'#(app'(app'(app'(filter2(), false()), f), x), xs) -> app'#(filter(), f), app'#(app'(app(), app'(app'(cons(), x), l)), k) -> app'#(app'(cons(), x), app'(app'(app(), l), k)))
     (app'#(app'(app'(app'(filter2(), false()), f), x), xs) -> app'#(filter(), f), app'#(app'(app(), app'(app'(cons(), x), l)), k) -> app'#(app(), l))
     (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'#(filter(), f), app'#(app'(map(), f), app'(app'(cons(), x), xs)) -> app'#(app'(cons(), app'(f, x)), app'(app'(map(), f), xs)))
     (app'#(app'(app'(app'(filter2(), false()), f), x), xs) -> app'#(filter(), f), app'#(app'(map(), f), app'(app'(cons(), x), xs)) -> app'#(app'(map(), f), xs))
     (app'#(app'(app'(app'(filter2(), false()), f), x), xs) -> app'#(filter(), f), app'#(app'(map(), f), app'(app'(cons(), x), xs)) -> app'#(cons(), 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'#(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'#(filter(), f), 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'#(filter(), f), 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'#(filter(), f), app'#(app'(filter(), f), app'(app'(cons(), x), xs)) -> app'#(filter2(), app'(f, x)))
     (app'#(app'(app'(app'(filter2(), false()), f), x), xs) -> app'#(filter(), f), app'#(sum(), app'(app'(app(), l), app'(app'(cons(), x), app'(app'(cons(), y), k)))) -> app'#(app'(app(), l), app'(sum(), app'(app'(cons(), x), app'(app'(cons(), y), k)))))
     (app'#(app'(app'(app'(filter2(), false()), f), x), xs) -> app'#(filter(), f), app'#(sum(), app'(app'(app(), l), app'(app'(cons(), x), app'(app'(cons(), y), k)))) -> app'#(sum(), app'(app'(app(), l), app'(sum(), app'(app'(cons(), x), app'(app'(cons(), y), k))))))
     (app'#(app'(app'(app'(filter2(), false()), f), x), xs) -> app'#(filter(), f), app'#(sum(), app'(app'(app(), l), app'(app'(cons(), x), app'(app'(cons(), y), k)))) -> app'#(sum(), app'(app'(cons(), x), app'(app'(cons(), y), k))))
     (app'#(app'(app'(app'(filter2(), false()), f), x), xs) -> app'#(filter(), f), app'#(sum(), app'(app'(cons(), x), app'(app'(cons(), y), l))) -> app'#(app'(plus(), x), y))
     (app'#(app'(app'(app'(filter2(), false()), f), x), xs) -> app'#(filter(), f), app'#(sum(), app'(app'(cons(), x), app'(app'(cons(), y), l))) -> app'#(app'(cons(), app'(app'(plus(), x), y)), l))
     (app'#(app'(app'(app'(filter2(), false()), f), x), xs) -> app'#(filter(), f), app'#(sum(), app'(app'(cons(), x), app'(app'(cons(), y), l))) -> app'#(plus(), x))
     (app'#(app'(app'(app'(filter2(), false()), f), x), xs) -> app'#(filter(), f), app'#(sum(), app'(app'(cons(), x), app'(app'(cons(), y), l))) -> app'#(cons(), app'(app'(plus(), x), y)))
     (app'#(app'(app'(app'(filter2(), false()), f), x), xs) -> app'#(filter(), f), app'#(sum(), app'(app'(cons(), x), app'(app'(cons(), y), l))) -> app'#(sum(), app'(app'(cons(), app'(app'(plus(), x), y)), l)))
     (app'#(sum(), app'(app'(cons(), x), app'(app'(cons(), y), l))) -> app'#(sum(), app'(app'(cons(), app'(app'(plus(), x), y)), l)), app'#(app'(app'(app'(filter2(), true()), f), x), xs) -> app'#(app'(cons(), x), app'(app'(filter(), f), xs)))
     (app'#(sum(), app'(app'(cons(), x), app'(app'(cons(), y), l))) -> app'#(sum(), app'(app'(cons(), app'(app'(plus(), x), y)), l)), app'#(app'(app'(app'(filter2(), true()), f), x), xs) -> app'#(app'(filter(), f), xs))
     (app'#(sum(), app'(app'(cons(), x), app'(app'(cons(), y), l))) -> app'#(sum(), app'(app'(cons(), app'(app'(plus(), x), y)), l)), app'#(app'(app'(app'(filter2(), true()), f), x), xs) -> app'#(cons(), x))
     (app'#(sum(), app'(app'(cons(), x), app'(app'(cons(), y), l))) -> app'#(sum(), app'(app'(cons(), app'(app'(plus(), x), y)), l)), app'#(app'(app'(app'(filter2(), true()), f), x), xs) -> app'#(filter(), f))
     (app'#(sum(), app'(app'(cons(), x), app'(app'(cons(), y), l))) -> app'#(sum(), app'(app'(cons(), app'(app'(plus(), x), y)), l)), app'#(app'(app'(app'(filter2(), false()), f), x), xs) -> app'#(app'(filter(), f), xs))
     (app'#(sum(), app'(app'(cons(), x), app'(app'(cons(), y), l))) -> app'#(sum(), app'(app'(cons(), app'(app'(plus(), x), y)), l)), app'#(app'(app'(app'(filter2(), false()), f), x), xs) -> app'#(filter(), f))
     (app'#(sum(), app'(app'(cons(), x), app'(app'(cons(), y), l))) -> app'#(sum(), app'(app'(cons(), app'(app'(plus(), x), y)), l)), app'#(app'(minus(), app'(app'(minus(), x), y)), z) -> app'#(app'(minus(), x), app'(app'(plus(), y), z)))
     (app'#(sum(), app'(app'(cons(), x), app'(app'(cons(), y), l))) -> app'#(sum(), app'(app'(cons(), app'(app'(plus(), x), y)), l)), app'#(app'(minus(), app'(app'(minus(), x), y)), z) -> app'#(app'(plus(), y), z))
     (app'#(sum(), app'(app'(cons(), x), app'(app'(cons(), y), l))) -> app'#(sum(), app'(app'(cons(), app'(app'(plus(), x), y)), l)), app'#(app'(minus(), app'(app'(minus(), x), y)), z) -> app'#(plus(), y))
     (app'#(sum(), app'(app'(cons(), x), app'(app'(cons(), y), l))) -> app'#(sum(), app'(app'(cons(), app'(app'(plus(), x), y)), l)), app'#(app'(minus(), app'(s(), x)), app'(s(), y)) -> app'#(app'(minus(), x), y))
     (app'#(sum(), app'(app'(cons(), x), app'(app'(cons(), y), l))) -> app'#(sum(), app'(app'(cons(), app'(app'(plus(), x), y)), l)), app'#(app'(minus(), app'(s(), x)), app'(s(), y)) -> app'#(minus(), x))
     (app'#(sum(), app'(app'(cons(), x), app'(app'(cons(), y), l))) -> app'#(sum(), app'(app'(cons(), app'(app'(plus(), x), y)), l)), app'#(app'(plus(), app'(s(), x)), y) -> app'#(app'(plus(), x), y))
     (app'#(sum(), app'(app'(cons(), x), app'(app'(cons(), y), l))) -> app'#(sum(), app'(app'(cons(), app'(app'(plus(), x), y)), l)), app'#(app'(plus(), app'(s(), x)), y) -> app'#(s(), app'(app'(plus(), x), y)))
     (app'#(sum(), app'(app'(cons(), x), app'(app'(cons(), y), l))) -> app'#(sum(), app'(app'(cons(), app'(app'(plus(), x), y)), l)), app'#(app'(plus(), app'(s(), x)), y) -> app'#(plus(), x))
     (app'#(sum(), app'(app'(cons(), x), app'(app'(cons(), y), l))) -> app'#(sum(), app'(app'(cons(), app'(app'(plus(), x), y)), l)), app'#(app'(quot(), app'(s(), x)), app'(s(), y)) -> app'#(app'(minus(), x), y))
     (app'#(sum(), app'(app'(cons(), x), app'(app'(cons(), y), l))) -> app'#(sum(), app'(app'(cons(), app'(app'(plus(), x), y)), l)), app'#(app'(quot(), app'(s(), x)), app'(s(), y)) -> app'#(app'(quot(), app'(app'(minus(), x), y)), app'(s(), y)))
     (app'#(sum(), app'(app'(cons(), x), app'(app'(cons(), y), l))) -> app'#(sum(), app'(app'(cons(), app'(app'(plus(), x), y)), l)), app'#(app'(quot(), app'(s(), x)), app'(s(), y)) -> app'#(minus(), x))
     (app'#(sum(), app'(app'(cons(), x), app'(app'(cons(), y), l))) -> app'#(sum(), app'(app'(cons(), app'(app'(plus(), x), y)), l)), app'#(app'(quot(), app'(s(), x)), app'(s(), y)) -> app'#(s(), app'(app'(quot(), app'(app'(minus(), x), y)), app'(s(), y))))
     (app'#(sum(), app'(app'(cons(), x), app'(app'(cons(), y), l))) -> app'#(sum(), app'(app'(cons(), app'(app'(plus(), x), y)), l)), app'#(app'(quot(), app'(s(), x)), app'(s(), y)) -> app'#(quot(), app'(app'(minus(), x), y)))
     (app'#(sum(), app'(app'(cons(), x), app'(app'(cons(), y), l))) -> app'#(sum(), app'(app'(cons(), app'(app'(plus(), x), y)), l)), app'#(app'(app(), app'(app'(cons(), x), l)), k) -> app'#(app'(app(), l), k))
     (app'#(sum(), app'(app'(cons(), x), app'(app'(cons(), y), l))) -> app'#(sum(), app'(app'(cons(), app'(app'(plus(), x), y)), l)), app'#(app'(app(), app'(app'(cons(), x), l)), k) -> app'#(app'(cons(), x), app'(app'(app(), l), k)))
     (app'#(sum(), app'(app'(cons(), x), app'(app'(cons(), y), l))) -> app'#(sum(), app'(app'(cons(), app'(app'(plus(), x), y)), l)), app'#(app'(app(), app'(app'(cons(), x), l)), k) -> app'#(app(), l))
     (app'#(sum(), app'(app'(cons(), x), app'(app'(cons(), y), l))) -> app'#(sum(), app'(app'(cons(), app'(app'(plus(), x), y)), l)), app'#(app'(map(), f), app'(app'(cons(), x), xs)) -> app'#(f, x))
     (app'#(sum(), app'(app'(cons(), x), app'(app'(cons(), y), l))) -> app'#(sum(), app'(app'(cons(), app'(app'(plus(), x), y)), l)), app'#(app'(map(), f), app'(app'(cons(), x), xs)) -> app'#(app'(cons(), app'(f, x)), app'(app'(map(), f), xs)))
     (app'#(sum(), app'(app'(cons(), x), app'(app'(cons(), y), l))) -> app'#(sum(), app'(app'(cons(), app'(app'(plus(), x), y)), l)), app'#(app'(map(), f), app'(app'(cons(), x), xs)) -> app'#(app'(map(), f), xs))
     (app'#(sum(), app'(app'(cons(), x), app'(app'(cons(), y), l))) -> app'#(sum(), app'(app'(cons(), app'(app'(plus(), x), y)), l)), app'#(app'(map(), f), app'(app'(cons(), x), xs)) -> app'#(cons(), app'(f, x)))
     (app'#(sum(), app'(app'(cons(), x), app'(app'(cons(), y), l))) -> app'#(sum(), app'(app'(cons(), app'(app'(plus(), x), y)), l)), app'#(app'(filter(), f), app'(app'(cons(), x), xs)) -> app'#(f, x))
     (app'#(sum(), app'(app'(cons(), x), app'(app'(cons(), y), l))) -> app'#(sum(), app'(app'(cons(), app'(app'(plus(), x), y)), l)), app'#(app'(filter(), f), app'(app'(cons(), x), xs)) -> app'#(app'(app'(app'(filter2(), app'(f, x)), f), x), xs))
     (app'#(sum(), app'(app'(cons(), x), app'(app'(cons(), y), l))) -> app'#(sum(), app'(app'(cons(), app'(app'(plus(), x), y)), l)), app'#(app'(filter(), f), app'(app'(cons(), x), xs)) -> app'#(app'(app'(filter2(), app'(f, x)), f), x))
     (app'#(sum(), app'(app'(cons(), x), app'(app'(cons(), y), l))) -> app'#(sum(), app'(app'(cons(), app'(app'(plus(), x), y)), l)), app'#(app'(filter(), f), app'(app'(cons(), x), xs)) -> app'#(app'(filter2(), app'(f, x)), f))
     (app'#(sum(), app'(app'(cons(), x), app'(app'(cons(), y), l))) -> app'#(sum(), app'(app'(cons(), app'(app'(plus(), x), y)), l)), app'#(app'(filter(), f), app'(app'(cons(), x), xs)) -> app'#(filter2(), app'(f, x)))
     (app'#(sum(), app'(app'(cons(), x), app'(app'(cons(), y), l))) -> app'#(sum(), app'(app'(cons(), app'(app'(plus(), x), y)), l)), app'#(sum(), app'(app'(app(), l), app'(app'(cons(), x), app'(app'(cons(), y), k)))) -> app'#(app'(app(), l), app'(sum(), app'(app'(cons(), x), app'(app'(cons(), y), k)))))
     (app'#(sum(), app'(app'(cons(), x), app'(app'(cons(), y), l))) -> app'#(sum(), app'(app'(cons(), app'(app'(plus(), x), y)), l)), app'#(sum(), app'(app'(app(), l), app'(app'(cons(), x), app'(app'(cons(), y), k)))) -> app'#(sum(), app'(app'(app(), l), app'(sum(), app'(app'(cons(), x), app'(app'(cons(), y), k))))))
     (app'#(sum(), app'(app'(cons(), x), app'(app'(cons(), y), l))) -> app'#(sum(), app'(app'(cons(), app'(app'(plus(), x), y)), l)), app'#(sum(), app'(app'(app(), l), app'(app'(cons(), x), app'(app'(cons(), y), k)))) -> app'#(sum(), app'(app'(cons(), x), app'(app'(cons(), y), k))))
     (app'#(sum(), app'(app'(cons(), x), app'(app'(cons(), y), l))) -> app'#(sum(), app'(app'(cons(), app'(app'(plus(), x), y)), l)), app'#(sum(), app'(app'(cons(), x), app'(app'(cons(), y), l))) -> app'#(app'(plus(), x), y))
     (app'#(sum(), app'(app'(cons(), x), app'(app'(cons(), y), l))) -> app'#(sum(), app'(app'(cons(), app'(app'(plus(), x), y)), l)), app'#(sum(), app'(app'(cons(), x), app'(app'(cons(), y), l))) -> app'#(app'(cons(), app'(app'(plus(), x), y)), l))
     (app'#(sum(), app'(app'(cons(), x), app'(app'(cons(), y), l))) -> app'#(sum(), app'(app'(cons(), app'(app'(plus(), x), y)), l)), app'#(sum(), app'(app'(cons(), x), app'(app'(cons(), y), l))) -> app'#(plus(), x))
     (app'#(sum(), app'(app'(cons(), x), app'(app'(cons(), y), l))) -> app'#(sum(), app'(app'(cons(), app'(app'(plus(), x), y)), l)), app'#(sum(), app'(app'(cons(), x), app'(app'(cons(), y), l))) -> app'#(cons(), app'(app'(plus(), x), y)))
     (app'#(sum(), app'(app'(cons(), x), app'(app'(cons(), y), l))) -> app'#(sum(), app'(app'(cons(), app'(app'(plus(), x), y)), l)), app'#(sum(), app'(app'(cons(), x), app'(app'(cons(), y), l))) -> app'#(sum(), app'(app'(cons(), app'(app'(plus(), x), y)), l)))
     (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'(cons(), x), 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'#(filter2(), 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'#(filter2(), 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'#(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'#(filter2(), 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'#(filter2(), app'(f, x)), app'#(app'(minus(), app'(app'(minus(), x), y)), z) -> app'#(app'(minus(), x), app'(app'(plus(), y), z)))
     (app'#(app'(filter(), f), app'(app'(cons(), x), xs)) -> app'#(filter2(), app'(f, x)), app'#(app'(minus(), app'(app'(minus(), x), y)), z) -> app'#(app'(plus(), y), z))
     (app'#(app'(filter(), f), app'(app'(cons(), x), xs)) -> app'#(filter2(), app'(f, x)), app'#(app'(minus(), app'(app'(minus(), x), y)), z) -> app'#(plus(), y))
     (app'#(app'(filter(), f), app'(app'(cons(), x), xs)) -> app'#(filter2(), app'(f, x)), app'#(app'(minus(), app'(s(), x)), app'(s(), y)) -> app'#(app'(minus(), x), y))
     (app'#(app'(filter(), f), app'(app'(cons(), x), xs)) -> app'#(filter2(), app'(f, x)), app'#(app'(minus(), app'(s(), x)), app'(s(), y)) -> app'#(minus(), x))
     (app'#(app'(filter(), f), app'(app'(cons(), x), xs)) -> app'#(filter2(), app'(f, x)), app'#(app'(plus(), app'(s(), x)), y) -> app'#(app'(plus(), x), y))
     (app'#(app'(filter(), f), app'(app'(cons(), x), xs)) -> app'#(filter2(), app'(f, x)), app'#(app'(plus(), app'(s(), x)), y) -> app'#(s(), app'(app'(plus(), x), y)))
     (app'#(app'(filter(), f), app'(app'(cons(), x), xs)) -> app'#(filter2(), app'(f, x)), app'#(app'(plus(), app'(s(), x)), y) -> app'#(plus(), x))
     (app'#(app'(filter(), f), app'(app'(cons(), x), xs)) -> app'#(filter2(), app'(f, x)), app'#(app'(quot(), app'(s(), x)), app'(s(), y)) -> app'#(app'(minus(), x), y))
     (app'#(app'(filter(), f), app'(app'(cons(), x), xs)) -> app'#(filter2(), app'(f, x)), app'#(app'(quot(), app'(s(), x)), app'(s(), y)) -> app'#(app'(quot(), app'(app'(minus(), x), y)), app'(s(), y)))
     (app'#(app'(filter(), f), app'(app'(cons(), x), xs)) -> app'#(filter2(), app'(f, x)), app'#(app'(quot(), app'(s(), x)), app'(s(), y)) -> app'#(minus(), x))
     (app'#(app'(filter(), f), app'(app'(cons(), x), xs)) -> app'#(filter2(), app'(f, x)), app'#(app'(quot(), app'(s(), x)), app'(s(), y)) -> app'#(s(), app'(app'(quot(), app'(app'(minus(), x), y)), app'(s(), y))))
     (app'#(app'(filter(), f), app'(app'(cons(), x), xs)) -> app'#(filter2(), app'(f, x)), app'#(app'(quot(), app'(s(), x)), app'(s(), y)) -> app'#(quot(), app'(app'(minus(), x), y)))
     (app'#(app'(filter(), f), app'(app'(cons(), x), xs)) -> app'#(filter2(), app'(f, x)), app'#(app'(app(), app'(app'(cons(), x), l)), k) -> app'#(app'(app(), l), k))
     (app'#(app'(filter(), f), app'(app'(cons(), x), xs)) -> app'#(filter2(), app'(f, x)), app'#(app'(app(), app'(app'(cons(), x), l)), k) -> app'#(app'(cons(), x), app'(app'(app(), l), k)))
     (app'#(app'(filter(), f), app'(app'(cons(), x), xs)) -> app'#(filter2(), app'(f, x)), app'#(app'(app(), app'(app'(cons(), x), l)), k) -> app'#(app(), l))
     (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'#(filter2(), 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'#(filter2(), 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'#(filter2(), 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'#(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'#(filter2(), 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'#(filter2(), 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'#(filter2(), 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'#(filter2(), 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'#(filter2(), app'(f, x)), app'#(sum(), app'(app'(app(), l), app'(app'(cons(), x), app'(app'(cons(), y), k)))) -> app'#(app'(app(), l), app'(sum(), app'(app'(cons(), x), app'(app'(cons(), y), k)))))
     (app'#(app'(filter(), f), app'(app'(cons(), x), xs)) -> app'#(filter2(), app'(f, x)), app'#(sum(), app'(app'(app(), l), app'(app'(cons(), x), app'(app'(cons(), y), k)))) -> app'#(sum(), app'(app'(app(), l), app'(sum(), app'(app'(cons(), x), app'(app'(cons(), y), k))))))
     (app'#(app'(filter(), f), app'(app'(cons(), x), xs)) -> app'#(filter2(), app'(f, x)), app'#(sum(), app'(app'(app(), l), app'(app'(cons(), x), app'(app'(cons(), y), k)))) -> app'#(sum(), app'(app'(cons(), x), app'(app'(cons(), y), k))))
     (app'#(app'(filter(), f), app'(app'(cons(), x), xs)) -> app'#(filter2(), app'(f, x)), app'#(sum(), app'(app'(cons(), x), app'(app'(cons(), y), l))) -> app'#(app'(plus(), x), y))
     (app'#(app'(filter(), f), app'(app'(cons(), x), xs)) -> app'#(filter2(), app'(f, x)), app'#(sum(), app'(app'(cons(), x), app'(app'(cons(), y), l))) -> app'#(app'(cons(), app'(app'(plus(), x), y)), l))
     (app'#(app'(filter(), f), app'(app'(cons(), x), xs)) -> app'#(filter2(), app'(f, x)), app'#(sum(), app'(app'(cons(), x), app'(app'(cons(), y), l))) -> app'#(plus(), x))
     (app'#(app'(filter(), f), app'(app'(cons(), x), xs)) -> app'#(filter2(), app'(f, x)), app'#(sum(), app'(app'(cons(), x), app'(app'(cons(), y), l))) -> app'#(cons(), app'(app'(plus(), x), y)))
     (app'#(app'(filter(), f), app'(app'(cons(), x), xs)) -> app'#(filter2(), app'(f, x)), app'#(sum(), app'(app'(cons(), x), app'(app'(cons(), y), l))) -> app'#(sum(), app'(app'(cons(), app'(app'(plus(), x), y)), l)))
     (app'#(app'(map(), f), app'(app'(cons(), x), xs)) -> app'#(app'(cons(), app'(f, x)), app'(app'(map(), f), 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'(cons(), app'(f, x)), app'(app'(map(), f), xs)), app'#(app'(app'(app'(filter2(), true()), f), x), xs) -> app'#(app'(filter(), f), xs))
     (app'#(app'(map(), f), app'(app'(cons(), x), xs)) -> app'#(app'(cons(), app'(f, x)), app'(app'(map(), f), xs)), app'#(app'(app'(app'(filter2(), true()), f), x), xs) -> app'#(cons(), x))
     (app'#(app'(map(), f), app'(app'(cons(), x), xs)) -> app'#(app'(cons(), app'(f, x)), app'(app'(map(), f), xs)), app'#(app'(app'(app'(filter2(), true()), f), x), xs) -> app'#(filter(), f))
     (app'#(app'(map(), f), app'(app'(cons(), x), xs)) -> app'#(app'(cons(), app'(f, x)), app'(app'(map(), 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'#(app'(cons(), app'(f, x)), app'(app'(map(), f), xs)), app'#(app'(app'(app'(filter2(), false()), f), x), xs) -> app'#(filter(), f))
     (app'#(app'(map(), f), app'(app'(cons(), x), xs)) -> app'#(app'(cons(), app'(f, x)), app'(app'(map(), f), xs)), app'#(app'(minus(), app'(app'(minus(), x), y)), z) -> app'#(app'(minus(), x), app'(app'(plus(), y), z)))
     (app'#(app'(map(), f), app'(app'(cons(), x), xs)) -> app'#(app'(cons(), app'(f, x)), app'(app'(map(), f), xs)), app'#(app'(minus(), app'(app'(minus(), x), y)), z) -> app'#(app'(plus(), y), z))
     (app'#(app'(map(), f), app'(app'(cons(), x), xs)) -> app'#(app'(cons(), app'(f, x)), app'(app'(map(), f), xs)), app'#(app'(minus(), app'(app'(minus(), x), y)), z) -> app'#(plus(), y))
     (app'#(app'(map(), f), app'(app'(cons(), x), xs)) -> app'#(app'(cons(), app'(f, x)), app'(app'(map(), f), xs)), app'#(app'(minus(), app'(s(), x)), app'(s(), y)) -> app'#(app'(minus(), x), y))
     (app'#(app'(map(), f), app'(app'(cons(), x), xs)) -> app'#(app'(cons(), app'(f, x)), app'(app'(map(), f), xs)), app'#(app'(minus(), app'(s(), x)), app'(s(), y)) -> app'#(minus(), x))
     (app'#(app'(map(), f), app'(app'(cons(), x), xs)) -> app'#(app'(cons(), app'(f, x)), app'(app'(map(), f), xs)), app'#(app'(plus(), app'(s(), x)), y) -> app'#(app'(plus(), x), y))
     (app'#(app'(map(), f), app'(app'(cons(), x), xs)) -> app'#(app'(cons(), app'(f, x)), app'(app'(map(), f), xs)), app'#(app'(plus(), app'(s(), x)), y) -> app'#(s(), app'(app'(plus(), x), y)))
     (app'#(app'(map(), f), app'(app'(cons(), x), xs)) -> app'#(app'(cons(), app'(f, x)), app'(app'(map(), f), xs)), app'#(app'(plus(), app'(s(), x)), y) -> app'#(plus(), x))
     (app'#(app'(map(), f), app'(app'(cons(), x), xs)) -> app'#(app'(cons(), app'(f, x)), app'(app'(map(), f), xs)), app'#(app'(quot(), app'(s(), x)), app'(s(), y)) -> app'#(app'(minus(), x), y))
     (app'#(app'(map(), f), app'(app'(cons(), x), xs)) -> app'#(app'(cons(), app'(f, x)), app'(app'(map(), f), xs)), app'#(app'(quot(), app'(s(), x)), app'(s(), y)) -> app'#(app'(quot(), app'(app'(minus(), x), y)), app'(s(), y)))
     (app'#(app'(map(), f), app'(app'(cons(), x), xs)) -> app'#(app'(cons(), app'(f, x)), app'(app'(map(), f), xs)), app'#(app'(quot(), app'(s(), x)), app'(s(), y)) -> app'#(minus(), x))
     (app'#(app'(map(), f), app'(app'(cons(), x), xs)) -> app'#(app'(cons(), app'(f, x)), app'(app'(map(), f), xs)), app'#(app'(quot(), app'(s(), x)), app'(s(), y)) -> app'#(s(), app'(app'(quot(), app'(app'(minus(), x), y)), app'(s(), y))))
     (app'#(app'(map(), f), app'(app'(cons(), x), xs)) -> app'#(app'(cons(), app'(f, x)), app'(app'(map(), f), xs)), app'#(app'(quot(), app'(s(), x)), app'(s(), y)) -> app'#(quot(), app'(app'(minus(), x), y)))
     (app'#(app'(map(), f), app'(app'(cons(), x), xs)) -> app'#(app'(cons(), app'(f, x)), app'(app'(map(), f), xs)), app'#(app'(app(), app'(app'(cons(), x), l)), k) -> app'#(app'(app(), l), k))
     (app'#(app'(map(), f), app'(app'(cons(), x), xs)) -> app'#(app'(cons(), app'(f, x)), app'(app'(map(), f), xs)), app'#(app'(app(), app'(app'(cons(), x), l)), k) -> app'#(app'(cons(), x), app'(app'(app(), l), k)))
     (app'#(app'(map(), f), app'(app'(cons(), x), xs)) -> app'#(app'(cons(), app'(f, x)), app'(app'(map(), f), xs)), app'#(app'(app(), app'(app'(cons(), x), l)), k) -> app'#(app(), l))
     (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'(cons(), app'(f, x)), 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'(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'(cons(), app'(f, x)), app'(app'(map(), f), xs)), app'#(app'(map(), f), app'(app'(cons(), x), xs)) -> app'#(cons(), app'(f, x)))
     (app'#(app'(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'(cons(), app'(f, x)), app'(app'(map(), f), xs)), 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'#(app'(cons(), app'(f, x)), app'(app'(map(), f), xs)), 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'#(app'(cons(), app'(f, x)), app'(app'(map(), f), xs)), 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'#(app'(cons(), app'(f, x)), app'(app'(map(), f), xs)), app'#(app'(filter(), f), app'(app'(cons(), x), xs)) -> app'#(filter2(), app'(f, x)))
     (app'#(app'(map(), f), app'(app'(cons(), x), xs)) -> app'#(app'(cons(), app'(f, x)), app'(app'(map(), f), xs)), app'#(sum(), app'(app'(app(), l), app'(app'(cons(), x), app'(app'(cons(), y), k)))) -> app'#(app'(app(), l), app'(sum(), app'(app'(cons(), x), app'(app'(cons(), y), k)))))
     (app'#(app'(map(), f), app'(app'(cons(), x), xs)) -> app'#(app'(cons(), app'(f, x)), app'(app'(map(), f), xs)), app'#(sum(), app'(app'(app(), l), app'(app'(cons(), x), app'(app'(cons(), y), k)))) -> app'#(sum(), app'(app'(app(), l), app'(sum(), app'(app'(cons(), x), app'(app'(cons(), y), k))))))
     (app'#(app'(map(), f), app'(app'(cons(), x), xs)) -> app'#(app'(cons(), app'(f, x)), app'(app'(map(), f), xs)), app'#(sum(), app'(app'(app(), l), app'(app'(cons(), x), app'(app'(cons(), y), k)))) -> app'#(sum(), app'(app'(cons(), x), app'(app'(cons(), y), k))))
     (app'#(app'(map(), f), app'(app'(cons(), x), xs)) -> app'#(app'(cons(), app'(f, x)), app'(app'(map(), f), xs)), app'#(sum(), app'(app'(cons(), x), app'(app'(cons(), y), l))) -> app'#(app'(plus(), x), y))
     (app'#(app'(map(), f), app'(app'(cons(), x), xs)) -> app'#(app'(cons(), app'(f, x)), app'(app'(map(), f), xs)), app'#(sum(), app'(app'(cons(), x), app'(app'(cons(), y), l))) -> app'#(app'(cons(), app'(app'(plus(), x), y)), l))
     (app'#(app'(map(), f), app'(app'(cons(), x), xs)) -> app'#(app'(cons(), app'(f, x)), app'(app'(map(), f), xs)), app'#(sum(), app'(app'(cons(), x), app'(app'(cons(), y), l))) -> app'#(plus(), x))
     (app'#(app'(map(), f), app'(app'(cons(), x), xs)) -> app'#(app'(cons(), app'(f, x)), app'(app'(map(), f), xs)), app'#(sum(), app'(app'(cons(), x), app'(app'(cons(), y), l))) -> app'#(cons(), app'(app'(plus(), x), y)))
     (app'#(app'(map(), f), app'(app'(cons(), x), xs)) -> app'#(app'(cons(), app'(f, x)), app'(app'(map(), f), xs)), app'#(sum(), app'(app'(cons(), x), app'(app'(cons(), y), l))) -> app'#(sum(), app'(app'(cons(), app'(app'(plus(), x), y)), l)))
     (app'#(app'(quot(), app'(s(), x)), app'(s(), y)) -> app'#(quot(), app'(app'(minus(), x), y)), app'#(app'(app'(app'(filter2(), true()), f), x), xs) -> app'#(app'(cons(), x), app'(app'(filter(), f), xs)))
     (app'#(app'(quot(), app'(s(), x)), app'(s(), y)) -> app'#(quot(), app'(app'(minus(), x), y)), app'#(app'(app'(app'(filter2(), true()), f), x), xs) -> app'#(app'(filter(), f), xs))
     (app'#(app'(quot(), app'(s(), x)), app'(s(), y)) -> app'#(quot(), app'(app'(minus(), x), y)), app'#(app'(app'(app'(filter2(), true()), f), x), xs) -> app'#(cons(), x))
     (app'#(app'(quot(), app'(s(), x)), app'(s(), y)) -> app'#(quot(), app'(app'(minus(), x), y)), app'#(app'(app'(app'(filter2(), true()), f), x), xs) -> app'#(filter(), f))
     (app'#(app'(quot(), app'(s(), x)), app'(s(), y)) -> app'#(quot(), app'(app'(minus(), x), y)), app'#(app'(app'(app'(filter2(), false()), f), x), xs) -> app'#(app'(filter(), f), xs))
     (app'#(app'(quot(), app'(s(), x)), app'(s(), y)) -> app'#(quot(), app'(app'(minus(), x), y)), app'#(app'(app'(app'(filter2(), false()), f), x), xs) -> app'#(filter(), f))
     (app'#(app'(quot(), app'(s(), x)), app'(s(), y)) -> app'#(quot(), app'(app'(minus(), x), y)), app'#(app'(minus(), app'(app'(minus(), x), y)), z) -> app'#(app'(minus(), x), app'(app'(plus(), y), z)))
     (app'#(app'(quot(), app'(s(), x)), app'(s(), y)) -> app'#(quot(), app'(app'(minus(), x), y)), app'#(app'(minus(), app'(app'(minus(), x), y)), z) -> app'#(app'(plus(), y), z))
     (app'#(app'(quot(), app'(s(), x)), app'(s(), y)) -> app'#(quot(), app'(app'(minus(), x), y)), app'#(app'(minus(), app'(app'(minus(), x), y)), z) -> app'#(plus(), y))
     (app'#(app'(quot(), app'(s(), x)), app'(s(), y)) -> app'#(quot(), app'(app'(minus(), x), y)), app'#(app'(minus(), app'(s(), x)), app'(s(), y)) -> app'#(app'(minus(), x), y))
     (app'#(app'(quot(), app'(s(), x)), app'(s(), y)) -> app'#(quot(), app'(app'(minus(), x), y)), app'#(app'(minus(), app'(s(), x)), app'(s(), y)) -> app'#(minus(), x))
     (app'#(app'(quot(), app'(s(), x)), app'(s(), y)) -> app'#(quot(), app'(app'(minus(), x), y)), app'#(app'(plus(), app'(s(), x)), y) -> app'#(app'(plus(), x), y))
     (app'#(app'(quot(), app'(s(), x)), app'(s(), y)) -> app'#(quot(), app'(app'(minus(), x), y)), app'#(app'(plus(), app'(s(), x)), y) -> app'#(s(), app'(app'(plus(), x), y)))
     (app'#(app'(quot(), app'(s(), x)), app'(s(), y)) -> app'#(quot(), app'(app'(minus(), x), y)), app'#(app'(plus(), app'(s(), x)), y) -> app'#(plus(), x))
     (app'#(app'(quot(), app'(s(), x)), app'(s(), y)) -> app'#(quot(), app'(app'(minus(), x), y)), app'#(app'(quot(), app'(s(), x)), app'(s(), y)) -> app'#(app'(minus(), x), y))
     (app'#(app'(quot(), app'(s(), x)), app'(s(), y)) -> app'#(quot(), app'(app'(minus(), x), y)), app'#(app'(quot(), app'(s(), x)), app'(s(), y)) -> app'#(app'(quot(), app'(app'(minus(), x), y)), app'(s(), y)))
     (app'#(app'(quot(), app'(s(), x)), app'(s(), y)) -> app'#(quot(), app'(app'(minus(), x), y)), app'#(app'(quot(), app'(s(), x)), app'(s(), y)) -> app'#(minus(), x))
     (app'#(app'(quot(), app'(s(), x)), app'(s(), y)) -> app'#(quot(), app'(app'(minus(), x), y)), app'#(app'(quot(), app'(s(), x)), app'(s(), y)) -> app'#(s(), app'(app'(quot(), app'(app'(minus(), x), y)), app'(s(), y))))
     (app'#(app'(quot(), app'(s(), x)), app'(s(), y)) -> app'#(quot(), app'(app'(minus(), x), y)), app'#(app'(quot(), app'(s(), x)), app'(s(), y)) -> app'#(quot(), app'(app'(minus(), x), y)))
     (app'#(app'(quot(), app'(s(), x)), app'(s(), y)) -> app'#(quot(), app'(app'(minus(), x), y)), app'#(app'(app(), app'(app'(cons(), x), l)), k) -> app'#(app'(app(), l), k))
     (app'#(app'(quot(), app'(s(), x)), app'(s(), y)) -> app'#(quot(), app'(app'(minus(), x), y)), app'#(app'(app(), app'(app'(cons(), x), l)), k) -> app'#(app'(cons(), x), app'(app'(app(), l), k)))
     (app'#(app'(quot(), app'(s(), x)), app'(s(), y)) -> app'#(quot(), app'(app'(minus(), x), y)), app'#(app'(app(), app'(app'(cons(), x), l)), k) -> app'#(app(), l))
     (app'#(app'(quot(), app'(s(), x)), app'(s(), y)) -> app'#(quot(), app'(app'(minus(), x), y)), app'#(app'(map(), f), app'(app'(cons(), x), xs)) -> app'#(f, x))
     (app'#(app'(quot(), app'(s(), x)), app'(s(), y)) -> app'#(quot(), app'(app'(minus(), x), y)), app'#(app'(map(), f), app'(app'(cons(), x), xs)) -> app'#(app'(cons(), app'(f, x)), app'(app'(map(), f), xs)))
     (app'#(app'(quot(), app'(s(), x)), app'(s(), y)) -> app'#(quot(), app'(app'(minus(), x), y)), app'#(app'(map(), f), app'(app'(cons(), x), xs)) -> app'#(app'(map(), f), xs))
     (app'#(app'(quot(), app'(s(), x)), app'(s(), y)) -> app'#(quot(), app'(app'(minus(), x), y)), app'#(app'(map(), f), app'(app'(cons(), x), xs)) -> app'#(cons(), app'(f, x)))
     (app'#(app'(quot(), app'(s(), x)), app'(s(), y)) -> app'#(quot(), app'(app'(minus(), x), y)), app'#(app'(filter(), f), app'(app'(cons(), x), xs)) -> app'#(f, x))
     (app'#(app'(quot(), app'(s(), x)), app'(s(), y)) -> app'#(quot(), app'(app'(minus(), x), y)), app'#(app'(filter(), f), app'(app'(cons(), x), xs)) -> app'#(app'(app'(app'(filter2(), app'(f, x)), f), x), xs))
     (app'#(app'(quot(), app'(s(), x)), app'(s(), y)) -> app'#(quot(), app'(app'(minus(), x), y)), app'#(app'(filter(), f), app'(app'(cons(), x), xs)) -> app'#(app'(app'(filter2(), app'(f, x)), f), x))
     (app'#(app'(quot(), app'(s(), x)), app'(s(), y)) -> app'#(quot(), app'(app'(minus(), x), y)), app'#(app'(filter(), f), app'(app'(cons(), x), xs)) -> app'#(app'(filter2(), app'(f, x)), f))
     (app'#(app'(quot(), app'(s(), x)), app'(s(), y)) -> app'#(quot(), app'(app'(minus(), x), y)), app'#(app'(filter(), f), app'(app'(cons(), x), xs)) -> app'#(filter2(), app'(f, x)))
     (app'#(app'(quot(), app'(s(), x)), app'(s(), y)) -> app'#(quot(), app'(app'(minus(), x), y)), app'#(sum(), app'(app'(app(), l), app'(app'(cons(), x), app'(app'(cons(), y), k)))) -> app'#(app'(app(), l), app'(sum(), app'(app'(cons(), x), app'(app'(cons(), y), k)))))
     (app'#(app'(quot(), app'(s(), x)), app'(s(), y)) -> app'#(quot(), app'(app'(minus(), x), y)), app'#(sum(), app'(app'(app(), l), app'(app'(cons(), x), app'(app'(cons(), y), k)))) -> app'#(sum(), app'(app'(app(), l), app'(sum(), app'(app'(cons(), x), app'(app'(cons(), y), k))))))
     (app'#(app'(quot(), app'(s(), x)), app'(s(), y)) -> app'#(quot(), app'(app'(minus(), x), y)), app'#(sum(), app'(app'(app(), l), app'(app'(cons(), x), app'(app'(cons(), y), k)))) -> app'#(sum(), app'(app'(cons(), x), app'(app'(cons(), y), k))))
     (app'#(app'(quot(), app'(s(), x)), app'(s(), y)) -> app'#(quot(), app'(app'(minus(), x), y)), app'#(sum(), app'(app'(cons(), x), app'(app'(cons(), y), l))) -> app'#(app'(plus(), x), y))
     (app'#(app'(quot(), app'(s(), x)), app'(s(), y)) -> app'#(quot(), app'(app'(minus(), x), y)), app'#(sum(), app'(app'(cons(), x), app'(app'(cons(), y), l))) -> app'#(app'(cons(), app'(app'(plus(), x), y)), l))
     (app'#(app'(quot(), app'(s(), x)), app'(s(), y)) -> app'#(quot(), app'(app'(minus(), x), y)), app'#(sum(), app'(app'(cons(), x), app'(app'(cons(), y), l))) -> app'#(plus(), x))
     (app'#(app'(quot(), app'(s(), x)), app'(s(), y)) -> app'#(quot(), app'(app'(minus(), x), y)), app'#(sum(), app'(app'(cons(), x), app'(app'(cons(), y), l))) -> app'#(cons(), app'(app'(plus(), x), y)))
     (app'#(app'(quot(), app'(s(), x)), app'(s(), y)) -> app'#(quot(), app'(app'(minus(), x), y)), app'#(sum(), app'(app'(cons(), x), app'(app'(cons(), y), l))) -> app'#(sum(), app'(app'(cons(), app'(app'(plus(), x), y)), l)))
     (app'#(app'(plus(), app'(s(), x)), y) -> app'#(s(), app'(app'(plus(), x), y)), app'#(app'(app'(app'(filter2(), true()), f), x), xs) -> app'#(app'(cons(), x), app'(app'(filter(), f), xs)))
     (app'#(app'(plus(), app'(s(), x)), y) -> app'#(s(), app'(app'(plus(), x), y)), app'#(app'(app'(app'(filter2(), true()), f), x), xs) -> app'#(app'(filter(), f), xs))
     (app'#(app'(plus(), app'(s(), x)), y) -> app'#(s(), app'(app'(plus(), x), y)), app'#(app'(app'(app'(filter2(), true()), f), x), xs) -> app'#(cons(), x))
     (app'#(app'(plus(), app'(s(), x)), y) -> app'#(s(), app'(app'(plus(), x), y)), app'#(app'(app'(app'(filter2(), true()), f), x), xs) -> app'#(filter(), f))
     (app'#(app'(plus(), app'(s(), x)), y) -> app'#(s(), app'(app'(plus(), x), y)), app'#(app'(app'(app'(filter2(), false()), f), x), xs) -> app'#(app'(filter(), f), xs))
     (app'#(app'(plus(), app'(s(), x)), y) -> app'#(s(), app'(app'(plus(), x), y)), app'#(app'(app'(app'(filter2(), false()), f), x), xs) -> app'#(filter(), f))
     (app'#(app'(plus(), app'(s(), x)), y) -> app'#(s(), app'(app'(plus(), x), y)), app'#(app'(minus(), app'(app'(minus(), x), y)), z) -> app'#(app'(minus(), x), app'(app'(plus(), y), z)))
     (app'#(app'(plus(), app'(s(), x)), y) -> app'#(s(), app'(app'(plus(), x), y)), app'#(app'(minus(), app'(app'(minus(), x), y)), z) -> app'#(app'(plus(), y), z))
     (app'#(app'(plus(), app'(s(), x)), y) -> app'#(s(), app'(app'(plus(), x), y)), app'#(app'(minus(), app'(app'(minus(), x), y)), z) -> app'#(plus(), y))
     (app'#(app'(plus(), app'(s(), x)), y) -> app'#(s(), app'(app'(plus(), x), y)), app'#(app'(minus(), app'(s(), x)), app'(s(), y)) -> app'#(app'(minus(), x), y))
     (app'#(app'(plus(), app'(s(), x)), y) -> app'#(s(), app'(app'(plus(), x), y)), app'#(app'(minus(), app'(s(), x)), app'(s(), y)) -> app'#(minus(), x))
     (app'#(app'(plus(), app'(s(), x)), y) -> app'#(s(), app'(app'(plus(), x), y)), app'#(app'(plus(), app'(s(), x)), y) -> app'#(app'(plus(), x), y))
     (app'#(app'(plus(), app'(s(), x)), y) -> app'#(s(), app'(app'(plus(), x), y)), app'#(app'(plus(), app'(s(), x)), y) -> app'#(s(), app'(app'(plus(), x), y)))
     (app'#(app'(plus(), app'(s(), x)), y) -> app'#(s(), app'(app'(plus(), x), y)), app'#(app'(plus(), app'(s(), x)), y) -> app'#(plus(), x))
     (app'#(app'(plus(), app'(s(), x)), y) -> app'#(s(), app'(app'(plus(), x), y)), app'#(app'(quot(), app'(s(), x)), app'(s(), y)) -> app'#(app'(minus(), x), y))
     (app'#(app'(plus(), app'(s(), x)), y) -> app'#(s(), app'(app'(plus(), x), y)), app'#(app'(quot(), app'(s(), x)), app'(s(), y)) -> app'#(app'(quot(), app'(app'(minus(), x), y)), app'(s(), y)))
     (app'#(app'(plus(), app'(s(), x)), y) -> app'#(s(), app'(app'(plus(), x), y)), app'#(app'(quot(), app'(s(), x)), app'(s(), y)) -> app'#(minus(), x))
     (app'#(app'(plus(), app'(s(), x)), y) -> app'#(s(), app'(app'(plus(), x), y)), app'#(app'(quot(), app'(s(), x)), app'(s(), y)) -> app'#(s(), app'(app'(quot(), app'(app'(minus(), x), y)), app'(s(), y))))
     (app'#(app'(plus(), app'(s(), x)), y) -> app'#(s(), app'(app'(plus(), x), y)), app'#(app'(quot(), app'(s(), x)), app'(s(), y)) -> app'#(quot(), app'(app'(minus(), x), y)))
     (app'#(app'(plus(), app'(s(), x)), y) -> app'#(s(), app'(app'(plus(), x), y)), app'#(app'(app(), app'(app'(cons(), x), l)), k) -> app'#(app'(app(), l), k))
     (app'#(app'(plus(), app'(s(), x)), y) -> app'#(s(), app'(app'(plus(), x), y)), app'#(app'(app(), app'(app'(cons(), x), l)), k) -> app'#(app'(cons(), x), app'(app'(app(), l), k)))
     (app'#(app'(plus(), app'(s(), x)), y) -> app'#(s(), app'(app'(plus(), x), y)), app'#(app'(app(), app'(app'(cons(), x), l)), k) -> app'#(app(), l))
     (app'#(app'(plus(), app'(s(), x)), y) -> app'#(s(), app'(app'(plus(), x), y)), app'#(app'(map(), f), app'(app'(cons(), x), xs)) -> app'#(f, x))
     (app'#(app'(plus(), app'(s(), x)), y) -> app'#(s(), app'(app'(plus(), x), y)), app'#(app'(map(), f), app'(app'(cons(), x), xs)) -> app'#(app'(cons(), app'(f, x)), app'(app'(map(), f), xs)))
     (app'#(app'(plus(), app'(s(), x)), y) -> app'#(s(), app'(app'(plus(), x), y)), app'#(app'(map(), f), app'(app'(cons(), x), xs)) -> app'#(app'(map(), f), xs))
     (app'#(app'(plus(), app'(s(), x)), y) -> app'#(s(), app'(app'(plus(), x), y)), app'#(app'(map(), f), app'(app'(cons(), x), xs)) -> app'#(cons(), app'(f, x)))
     (app'#(app'(plus(), app'(s(), x)), y) -> app'#(s(), app'(app'(plus(), x), y)), app'#(app'(filter(), f), app'(app'(cons(), x), xs)) -> app'#(f, x))
     (app'#(app'(plus(), app'(s(), x)), y) -> app'#(s(), app'(app'(plus(), x), y)), app'#(app'(filter(), f), app'(app'(cons(), x), xs)) -> app'#(app'(app'(app'(filter2(), app'(f, x)), f), x), xs))
     (app'#(app'(plus(), app'(s(), x)), y) -> app'#(s(), app'(app'(plus(), x), y)), app'#(app'(filter(), f), app'(app'(cons(), x), xs)) -> app'#(app'(app'(filter2(), app'(f, x)), f), x))
     (app'#(app'(plus(), app'(s(), x)), y) -> app'#(s(), app'(app'(plus(), x), y)), app'#(app'(filter(), f), app'(app'(cons(), x), xs)) -> app'#(app'(filter2(), app'(f, x)), f))
     (app'#(app'(plus(), app'(s(), x)), y) -> app'#(s(), app'(app'(plus(), x), y)), app'#(app'(filter(), f), app'(app'(cons(), x), xs)) -> app'#(filter2(), app'(f, x)))
     (app'#(app'(plus(), app'(s(), x)), y) -> app'#(s(), app'(app'(plus(), x), y)), app'#(sum(), app'(app'(app(), l), app'(app'(cons(), x), app'(app'(cons(), y), k)))) -> app'#(app'(app(), l), app'(sum(), app'(app'(cons(), x), app'(app'(cons(), y), k)))))
     (app'#(app'(plus(), app'(s(), x)), y) -> app'#(s(), app'(app'(plus(), x), y)), app'#(sum(), app'(app'(app(), l), app'(app'(cons(), x), app'(app'(cons(), y), k)))) -> app'#(sum(), app'(app'(app(), l), app'(sum(), app'(app'(cons(), x), app'(app'(cons(), y), k))))))
     (app'#(app'(plus(), app'(s(), x)), y) -> app'#(s(), app'(app'(plus(), x), y)), app'#(sum(), app'(app'(app(), l), app'(app'(cons(), x), app'(app'(cons(), y), k)))) -> app'#(sum(), app'(app'(cons(), x), app'(app'(cons(), y), k))))
     (app'#(app'(plus(), app'(s(), x)), y) -> app'#(s(), app'(app'(plus(), x), y)), app'#(sum(), app'(app'(cons(), x), app'(app'(cons(), y), l))) -> app'#(app'(plus(), x), y))
     (app'#(app'(plus(), app'(s(), x)), y) -> app'#(s(), app'(app'(plus(), x), y)), app'#(sum(), app'(app'(cons(), x), app'(app'(cons(), y), l))) -> app'#(app'(cons(), app'(app'(plus(), x), y)), l))
     (app'#(app'(plus(), app'(s(), x)), y) -> app'#(s(), app'(app'(plus(), x), y)), app'#(sum(), app'(app'(cons(), x), app'(app'(cons(), y), l))) -> app'#(plus(), x))
     (app'#(app'(plus(), app'(s(), x)), y) -> app'#(s(), app'(app'(plus(), x), y)), app'#(sum(), app'(app'(cons(), x), app'(app'(cons(), y), l))) -> app'#(cons(), app'(app'(plus(), x), y)))
     (app'#(app'(plus(), app'(s(), x)), y) -> app'#(s(), app'(app'(plus(), x), y)), app'#(sum(), app'(app'(cons(), x), app'(app'(cons(), y), l))) -> app'#(sum(), app'(app'(cons(), app'(app'(plus(), x), y)), l)))
     (app'#(app'(minus(), app'(app'(minus(), x), y)), z) -> app'#(app'(minus(), x), app'(app'(plus(), y), z)), app'#(app'(app'(app'(filter2(), true()), f), x), xs) -> app'#(app'(cons(), x), app'(app'(filter(), f), xs)))
     (app'#(app'(minus(), app'(app'(minus(), x), y)), z) -> app'#(app'(minus(), x), app'(app'(plus(), y), z)), app'#(app'(app'(app'(filter2(), true()), f), x), xs) -> app'#(app'(filter(), f), xs))
     (app'#(app'(minus(), app'(app'(minus(), x), y)), z) -> app'#(app'(minus(), x), app'(app'(plus(), y), z)), app'#(app'(app'(app'(filter2(), true()), f), x), xs) -> app'#(cons(), x))
     (app'#(app'(minus(), app'(app'(minus(), x), y)), z) -> app'#(app'(minus(), x), app'(app'(plus(), y), z)), app'#(app'(app'(app'(filter2(), true()), f), x), xs) -> app'#(filter(), f))
     (app'#(app'(minus(), app'(app'(minus(), x), y)), z) -> app'#(app'(minus(), x), app'(app'(plus(), y), z)), app'#(app'(app'(app'(filter2(), false()), f), x), xs) -> app'#(app'(filter(), f), xs))
     (app'#(app'(minus(), app'(app'(minus(), x), y)), z) -> app'#(app'(minus(), x), app'(app'(plus(), y), z)), app'#(app'(app'(app'(filter2(), false()), f), x), xs) -> app'#(filter(), f))
     (app'#(app'(minus(), app'(app'(minus(), x), y)), z) -> app'#(app'(minus(), x), app'(app'(plus(), y), z)), app'#(app'(minus(), app'(app'(minus(), x), y)), z) -> app'#(app'(minus(), x), app'(app'(plus(), y), z)))
     (app'#(app'(minus(), app'(app'(minus(), x), y)), z) -> app'#(app'(minus(), x), app'(app'(plus(), y), z)), app'#(app'(minus(), app'(app'(minus(), x), y)), z) -> app'#(app'(plus(), y), z))
     (app'#(app'(minus(), app'(app'(minus(), x), y)), z) -> app'#(app'(minus(), x), app'(app'(plus(), y), z)), app'#(app'(minus(), app'(app'(minus(), x), y)), z) -> app'#(plus(), y))
     (app'#(app'(minus(), app'(app'(minus(), x), y)), z) -> app'#(app'(minus(), x), app'(app'(plus(), y), z)), app'#(app'(minus(), app'(s(), x)), app'(s(), y)) -> app'#(app'(minus(), x), y))
     (app'#(app'(minus(), app'(app'(minus(), x), y)), z) -> app'#(app'(minus(), x), app'(app'(plus(), y), z)), app'#(app'(minus(), app'(s(), x)), app'(s(), y)) -> app'#(minus(), x))
     (app'#(app'(minus(), app'(app'(minus(), x), y)), z) -> app'#(app'(minus(), x), app'(app'(plus(), y), z)), app'#(app'(plus(), app'(s(), x)), y) -> app'#(app'(plus(), x), y))
     (app'#(app'(minus(), app'(app'(minus(), x), y)), z) -> app'#(app'(minus(), x), app'(app'(plus(), y), z)), app'#(app'(plus(), app'(s(), x)), y) -> app'#(s(), app'(app'(plus(), x), y)))
     (app'#(app'(minus(), app'(app'(minus(), x), y)), z) -> app'#(app'(minus(), x), app'(app'(plus(), y), z)), app'#(app'(plus(), app'(s(), x)), y) -> app'#(plus(), x))
     (app'#(app'(minus(), app'(app'(minus(), x), y)), z) -> app'#(app'(minus(), x), app'(app'(plus(), y), z)), app'#(app'(quot(), app'(s(), x)), app'(s(), y)) -> app'#(app'(minus(), x), y))
     (app'#(app'(minus(), app'(app'(minus(), x), y)), z) -> app'#(app'(minus(), x), app'(app'(plus(), y), z)), app'#(app'(quot(), app'(s(), x)), app'(s(), y)) -> app'#(app'(quot(), app'(app'(minus(), x), y)), app'(s(), y)))
     (app'#(app'(minus(), app'(app'(minus(), x), y)), z) -> app'#(app'(minus(), x), app'(app'(plus(), y), z)), app'#(app'(quot(), app'(s(), x)), app'(s(), y)) -> app'#(minus(), x))
     (app'#(app'(minus(), app'(app'(minus(), x), y)), z) -> app'#(app'(minus(), x), app'(app'(plus(), y), z)), app'#(app'(quot(), app'(s(), x)), app'(s(), y)) -> app'#(s(), app'(app'(quot(), app'(app'(minus(), x), y)), app'(s(), y))))
     (app'#(app'(minus(), app'(app'(minus(), x), y)), z) -> app'#(app'(minus(), x), app'(app'(plus(), y), z)), app'#(app'(quot(), app'(s(), x)), app'(s(), y)) -> app'#(quot(), app'(app'(minus(), x), y)))
     (app'#(app'(minus(), app'(app'(minus(), x), y)), z) -> app'#(app'(minus(), x), app'(app'(plus(), y), z)), app'#(app'(app(), app'(app'(cons(), x), l)), k) -> app'#(app'(app(), l), k))
     (app'#(app'(minus(), app'(app'(minus(), x), y)), z) -> app'#(app'(minus(), x), app'(app'(plus(), y), z)), app'#(app'(app(), app'(app'(cons(), x), l)), k) -> app'#(app'(cons(), x), app'(app'(app(), l), k)))
     (app'#(app'(minus(), app'(app'(minus(), x), y)), z) -> app'#(app'(minus(), x), app'(app'(plus(), y), z)), app'#(app'(app(), app'(app'(cons(), x), l)), k) -> app'#(app(), l))
     (app'#(app'(minus(), app'(app'(minus(), x), y)), z) -> app'#(app'(minus(), x), app'(app'(plus(), y), z)), app'#(app'(map(), f), app'(app'(cons(), x), xs)) -> app'#(f, x))
     (app'#(app'(minus(), app'(app'(minus(), x), y)), z) -> app'#(app'(minus(), x), app'(app'(plus(), y), z)), app'#(app'(map(), f), app'(app'(cons(), x), xs)) -> app'#(app'(cons(), app'(f, x)), app'(app'(map(), f), xs)))
     (app'#(app'(minus(), app'(app'(minus(), x), y)), z) -> app'#(app'(minus(), x), app'(app'(plus(), y), z)), app'#(app'(map(), f), app'(app'(cons(), x), xs)) -> app'#(app'(map(), f), xs))
     (app'#(app'(minus(), app'(app'(minus(), x), y)), z) -> app'#(app'(minus(), x), app'(app'(plus(), y), z)), app'#(app'(map(), f), app'(app'(cons(), x), xs)) -> app'#(cons(), app'(f, x)))
     (app'#(app'(minus(), app'(app'(minus(), x), y)), z) -> app'#(app'(minus(), x), app'(app'(plus(), y), z)), app'#(app'(filter(), f), app'(app'(cons(), x), xs)) -> app'#(f, x))
     (app'#(app'(minus(), app'(app'(minus(), x), y)), z) -> app'#(app'(minus(), x), app'(app'(plus(), y), z)), app'#(app'(filter(), f), app'(app'(cons(), x), xs)) -> app'#(app'(app'(app'(filter2(), app'(f, x)), f), x), xs))
     (app'#(app'(minus(), app'(app'(minus(), x), y)), z) -> app'#(app'(minus(), x), app'(app'(plus(), y), z)), app'#(app'(filter(), f), app'(app'(cons(), x), xs)) -> app'#(app'(app'(filter2(), app'(f, x)), f), x))
     (app'#(app'(minus(), app'(app'(minus(), x), y)), z) -> app'#(app'(minus(), x), app'(app'(plus(), y), z)), app'#(app'(filter(), f), app'(app'(cons(), x), xs)) -> app'#(app'(filter2(), app'(f, x)), f))
     (app'#(app'(minus(), app'(app'(minus(), x), y)), z) -> app'#(app'(minus(), x), app'(app'(plus(), y), z)), app'#(app'(filter(), f), app'(app'(cons(), x), xs)) -> app'#(filter2(), app'(f, x)))
     (app'#(app'(minus(), app'(app'(minus(), x), y)), z) -> app'#(app'(minus(), x), app'(app'(plus(), y), z)), app'#(sum(), app'(app'(app(), l), app'(app'(cons(), x), app'(app'(cons(), y), k)))) -> app'#(app'(app(), l), app'(sum(), app'(app'(cons(), x), app'(app'(cons(), y), k)))))
     (app'#(app'(minus(), app'(app'(minus(), x), y)), z) -> app'#(app'(minus(), x), app'(app'(plus(), y), z)), app'#(sum(), app'(app'(app(), l), app'(app'(cons(), x), app'(app'(cons(), y), k)))) -> app'#(sum(), app'(app'(app(), l), app'(sum(), app'(app'(cons(), x), app'(app'(cons(), y), k))))))
     (app'#(app'(minus(), app'(app'(minus(), x), y)), z) -> app'#(app'(minus(), x), app'(app'(plus(), y), z)), app'#(sum(), app'(app'(app(), l), app'(app'(cons(), x), app'(app'(cons(), y), k)))) -> app'#(sum(), app'(app'(cons(), x), app'(app'(cons(), y), k))))
     (app'#(app'(minus(), app'(app'(minus(), x), y)), z) -> app'#(app'(minus(), x), app'(app'(plus(), y), z)), app'#(sum(), app'(app'(cons(), x), app'(app'(cons(), y), l))) -> app'#(app'(plus(), x), y))
     (app'#(app'(minus(), app'(app'(minus(), x), y)), z) -> app'#(app'(minus(), x), app'(app'(plus(), y), z)), app'#(sum(), app'(app'(cons(), x), app'(app'(cons(), y), l))) -> app'#(app'(cons(), app'(app'(plus(), x), y)), l))
     (app'#(app'(minus(), app'(app'(minus(), x), y)), z) -> app'#(app'(minus(), x), app'(app'(plus(), y), z)), app'#(sum(), app'(app'(cons(), x), app'(app'(cons(), y), l))) -> app'#(plus(), x))
     (app'#(app'(minus(), app'(app'(minus(), x), y)), z) -> app'#(app'(minus(), x), app'(app'(plus(), y), z)), app'#(sum(), app'(app'(cons(), x), app'(app'(cons(), y), l))) -> app'#(cons(), app'(app'(plus(), x), y)))
     (app'#(app'(minus(), app'(app'(minus(), x), y)), z) -> app'#(app'(minus(), x), app'(app'(plus(), y), z)), app'#(sum(), app'(app'(cons(), x), app'(app'(cons(), y), l))) -> app'#(sum(), app'(app'(cons(), app'(app'(plus(), x), y)), l)))
     (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'(cons(), x), 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'#(app'(filter2(), app'(f, x)), f), app'#(app'(app'(app'(filter2(), true()), f), x), xs) -> app'#(cons(), x))
     (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'#(filter(), f))
     (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'(filter2(), app'(f, x)), f), app'#(app'(app'(app'(filter2(), false()), f), x), xs) -> app'#(filter(), f))
     (app'#(app'(filter(), f), app'(app'(cons(), x), xs)) -> app'#(app'(filter2(), app'(f, x)), f), app'#(app'(minus(), app'(app'(minus(), x), y)), z) -> app'#(app'(minus(), x), app'(app'(plus(), y), z)))
     (app'#(app'(filter(), f), app'(app'(cons(), x), xs)) -> app'#(app'(filter2(), app'(f, x)), f), app'#(app'(minus(), app'(app'(minus(), x), y)), z) -> app'#(app'(plus(), y), z))
     (app'#(app'(filter(), f), app'(app'(cons(), x), xs)) -> app'#(app'(filter2(), app'(f, x)), f), app'#(app'(minus(), app'(app'(minus(), x), y)), z) -> app'#(plus(), y))
     (app'#(app'(filter(), f), app'(app'(cons(), x), xs)) -> app'#(app'(filter2(), app'(f, x)), f), app'#(app'(minus(), app'(s(), x)), app'(s(), y)) -> app'#(app'(minus(), x), y))
     (app'#(app'(filter(), f), app'(app'(cons(), x), xs)) -> app'#(app'(filter2(), app'(f, x)), f), app'#(app'(minus(), app'(s(), x)), app'(s(), y)) -> app'#(minus(), x))
     (app'#(app'(filter(), f), app'(app'(cons(), x), xs)) -> app'#(app'(filter2(), app'(f, x)), f), app'#(app'(plus(), app'(s(), x)), y) -> app'#(app'(plus(), x), y))
     (app'#(app'(filter(), f), app'(app'(cons(), x), xs)) -> app'#(app'(filter2(), app'(f, x)), f), app'#(app'(plus(), app'(s(), x)), y) -> app'#(s(), app'(app'(plus(), x), y)))
     (app'#(app'(filter(), f), app'(app'(cons(), x), xs)) -> app'#(app'(filter2(), app'(f, x)), f), app'#(app'(plus(), app'(s(), x)), y) -> app'#(plus(), x))
     (app'#(app'(filter(), f), app'(app'(cons(), x), xs)) -> app'#(app'(filter2(), app'(f, x)), f), app'#(app'(quot(), app'(s(), x)), app'(s(), y)) -> app'#(app'(minus(), x), y))
     (app'#(app'(filter(), f), app'(app'(cons(), x), xs)) -> app'#(app'(filter2(), app'(f, x)), f), app'#(app'(quot(), app'(s(), x)), app'(s(), y)) -> app'#(app'(quot(), app'(app'(minus(), x), y)), app'(s(), y)))
     (app'#(app'(filter(), f), app'(app'(cons(), x), xs)) -> app'#(app'(filter2(), app'(f, x)), f), app'#(app'(quot(), app'(s(), x)), app'(s(), y)) -> app'#(minus(), x))
     (app'#(app'(filter(), f), app'(app'(cons(), x), xs)) -> app'#(app'(filter2(), app'(f, x)), f), app'#(app'(quot(), app'(s(), x)), app'(s(), y)) -> app'#(s(), app'(app'(quot(), app'(app'(minus(), x), y)), app'(s(), y))))
     (app'#(app'(filter(), f), app'(app'(cons(), x), xs)) -> app'#(app'(filter2(), app'(f, x)), f), app'#(app'(quot(), app'(s(), x)), app'(s(), y)) -> app'#(quot(), app'(app'(minus(), x), y)))
     (app'#(app'(filter(), f), app'(app'(cons(), x), xs)) -> app'#(app'(filter2(), app'(f, x)), f), app'#(app'(app(), app'(app'(cons(), x), l)), k) -> app'#(app'(app(), l), k))
     (app'#(app'(filter(), f), app'(app'(cons(), x), xs)) -> app'#(app'(filter2(), app'(f, x)), f), app'#(app'(app(), app'(app'(cons(), x), l)), k) -> app'#(app'(cons(), x), app'(app'(app(), l), k)))
     (app'#(app'(filter(), f), app'(app'(cons(), x), xs)) -> app'#(app'(filter2(), app'(f, x)), f), app'#(app'(app(), app'(app'(cons(), x), l)), k) -> app'#(app(), l))
     (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'(filter2(), app'(f, x)), f), 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'#(app'(filter2(), app'(f, x)), f), app'#(app'(map(), f), app'(app'(cons(), x), xs)) -> app'#(app'(map(), f), xs))
     (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'#(cons(), 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'(filter2(), app'(f, x)), f), 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'(filter2(), app'(f, x)), f), 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'#(app'(filter2(), app'(f, x)), f))
     (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'#(app'(filter(), f), app'(app'(cons(), x), xs)) -> app'#(app'(filter2(), app'(f, x)), f), app'#(sum(), app'(app'(app(), l), app'(app'(cons(), x), app'(app'(cons(), y), k)))) -> app'#(app'(app(), l), app'(sum(), app'(app'(cons(), x), app'(app'(cons(), y), k)))))
     (app'#(app'(filter(), f), app'(app'(cons(), x), xs)) -> app'#(app'(filter2(), app'(f, x)), f), app'#(sum(), app'(app'(app(), l), app'(app'(cons(), x), app'(app'(cons(), y), k)))) -> app'#(sum(), app'(app'(app(), l), app'(sum(), app'(app'(cons(), x), app'(app'(cons(), y), k))))))
     (app'#(app'(filter(), f), app'(app'(cons(), x), xs)) -> app'#(app'(filter2(), app'(f, x)), f), app'#(sum(), app'(app'(app(), l), app'(app'(cons(), x), app'(app'(cons(), y), k)))) -> app'#(sum(), app'(app'(cons(), x), app'(app'(cons(), y), k))))
     (app'#(app'(filter(), f), app'(app'(cons(), x), xs)) -> app'#(app'(filter2(), app'(f, x)), f), app'#(sum(), app'(app'(cons(), x), app'(app'(cons(), y), l))) -> app'#(app'(plus(), x), y))
     (app'#(app'(filter(), f), app'(app'(cons(), x), xs)) -> app'#(app'(filter2(), app'(f, x)), f), app'#(sum(), app'(app'(cons(), x), app'(app'(cons(), y), l))) -> app'#(app'(cons(), app'(app'(plus(), x), y)), l))
     (app'#(app'(filter(), f), app'(app'(cons(), x), xs)) -> app'#(app'(filter2(), app'(f, x)), f), app'#(sum(), app'(app'(cons(), x), app'(app'(cons(), y), l))) -> app'#(plus(), x))
     (app'#(app'(filter(), f), app'(app'(cons(), x), xs)) -> app'#(app'(filter2(), app'(f, x)), f), app'#(sum(), app'(app'(cons(), x), app'(app'(cons(), y), l))) -> app'#(cons(), app'(app'(plus(), x), y)))
     (app'#(app'(filter(), f), app'(app'(cons(), x), xs)) -> app'#(app'(filter2(), app'(f, x)), f), app'#(sum(), app'(app'(cons(), x), app'(app'(cons(), y), l))) -> app'#(sum(), app'(app'(cons(), app'(app'(plus(), x), y)), l)))
     (app'#(sum(), app'(app'(app(), l), app'(app'(cons(), x), app'(app'(cons(), y), k)))) -> app'#(sum(), app'(app'(cons(), x), app'(app'(cons(), y), k))), app'#(app'(app'(app'(filter2(), true()), f), x), xs) -> app'#(app'(cons(), x), app'(app'(filter(), f), xs)))
     (app'#(sum(), app'(app'(app(), l), app'(app'(cons(), x), app'(app'(cons(), y), k)))) -> app'#(sum(), app'(app'(cons(), x), app'(app'(cons(), y), k))), app'#(app'(app'(app'(filter2(), true()), f), x), xs) -> app'#(app'(filter(), f), xs))
     (app'#(sum(), app'(app'(app(), l), app'(app'(cons(), x), app'(app'(cons(), y), k)))) -> app'#(sum(), app'(app'(cons(), x), app'(app'(cons(), y), k))), app'#(app'(app'(app'(filter2(), true()), f), x), xs) -> app'#(cons(), x))
     (app'#(sum(), app'(app'(app(), l), app'(app'(cons(), x), app'(app'(cons(), y), k)))) -> app'#(sum(), app'(app'(cons(), x), app'(app'(cons(), y), k))), app'#(app'(app'(app'(filter2(), true()), f), x), xs) -> app'#(filter(), f))
     (app'#(sum(), app'(app'(app(), l), app'(app'(cons(), x), app'(app'(cons(), y), k)))) -> app'#(sum(), app'(app'(cons(), x), app'(app'(cons(), y), k))), app'#(app'(app'(app'(filter2(), false()), f), x), xs) -> app'#(app'(filter(), f), xs))
     (app'#(sum(), app'(app'(app(), l), app'(app'(cons(), x), app'(app'(cons(), y), k)))) -> app'#(sum(), app'(app'(cons(), x), app'(app'(cons(), y), k))), app'#(app'(app'(app'(filter2(), false()), f), x), xs) -> app'#(filter(), f))
     (app'#(sum(), app'(app'(app(), l), app'(app'(cons(), x), app'(app'(cons(), y), k)))) -> app'#(sum(), app'(app'(cons(), x), app'(app'(cons(), y), k))), app'#(app'(minus(), app'(app'(minus(), x), y)), z) -> app'#(app'(minus(), x), app'(app'(plus(), y), z)))
     (app'#(sum(), app'(app'(app(), l), app'(app'(cons(), x), app'(app'(cons(), y), k)))) -> app'#(sum(), app'(app'(cons(), x), app'(app'(cons(), y), k))), app'#(app'(minus(), app'(app'(minus(), x), y)), z) -> app'#(app'(plus(), y), z))
     (app'#(sum(), app'(app'(app(), l), app'(app'(cons(), x), app'(app'(cons(), y), k)))) -> app'#(sum(), app'(app'(cons(), x), app'(app'(cons(), y), k))), app'#(app'(minus(), app'(app'(minus(), x), y)), z) -> app'#(plus(), y))
     (app'#(sum(), app'(app'(app(), l), app'(app'(cons(), x), app'(app'(cons(), y), k)))) -> app'#(sum(), app'(app'(cons(), x), app'(app'(cons(), y), k))), app'#(app'(minus(), app'(s(), x)), app'(s(), y)) -> app'#(app'(minus(), x), y))
     (app'#(sum(), app'(app'(app(), l), app'(app'(cons(), x), app'(app'(cons(), y), k)))) -> app'#(sum(), app'(app'(cons(), x), app'(app'(cons(), y), k))), app'#(app'(minus(), app'(s(), x)), app'(s(), y)) -> app'#(minus(), x))
     (app'#(sum(), app'(app'(app(), l), app'(app'(cons(), x), app'(app'(cons(), y), k)))) -> app'#(sum(), app'(app'(cons(), x), app'(app'(cons(), y), k))), app'#(app'(plus(), app'(s(), x)), y) -> app'#(app'(plus(), x), y))
     (app'#(sum(), app'(app'(app(), l), app'(app'(cons(), x), app'(app'(cons(), y), k)))) -> app'#(sum(), app'(app'(cons(), x), app'(app'(cons(), y), k))), app'#(app'(plus(), app'(s(), x)), y) -> app'#(s(), app'(app'(plus(), x), y)))
     (app'#(sum(), app'(app'(app(), l), app'(app'(cons(), x), app'(app'(cons(), y), k)))) -> app'#(sum(), app'(app'(cons(), x), app'(app'(cons(), y), k))), app'#(app'(plus(), app'(s(), x)), y) -> app'#(plus(), x))
     (app'#(sum(), app'(app'(app(), l), app'(app'(cons(), x), app'(app'(cons(), y), k)))) -> app'#(sum(), app'(app'(cons(), x), app'(app'(cons(), y), k))), app'#(app'(quot(), app'(s(), x)), app'(s(), y)) -> app'#(app'(minus(), x), y))
     (app'#(sum(), app'(app'(app(), l), app'(app'(cons(), x), app'(app'(cons(), y), k)))) -> app'#(sum(), app'(app'(cons(), x), app'(app'(cons(), y), k))), app'#(app'(quot(), app'(s(), x)), app'(s(), y)) -> app'#(app'(quot(), app'(app'(minus(), x), y)), app'(s(), y)))
     (app'#(sum(), app'(app'(app(), l), app'(app'(cons(), x), app'(app'(cons(), y), k)))) -> app'#(sum(), app'(app'(cons(), x), app'(app'(cons(), y), k))), app'#(app'(quot(), app'(s(), x)), app'(s(), y)) -> app'#(minus(), x))
     (app'#(sum(), app'(app'(app(), l), app'(app'(cons(), x), app'(app'(cons(), y), k)))) -> app'#(sum(), app'(app'(cons(), x), app'(app'(cons(), y), k))), app'#(app'(quot(), app'(s(), x)), app'(s(), y)) -> app'#(s(), app'(app'(quot(), app'(app'(minus(), x), y)), app'(s(), y))))
     (app'#(sum(), app'(app'(app(), l), app'(app'(cons(), x), app'(app'(cons(), y), k)))) -> app'#(sum(), app'(app'(cons(), x), app'(app'(cons(), y), k))), app'#(app'(quot(), app'(s(), x)), app'(s(), y)) -> app'#(quot(), app'(app'(minus(), x), y)))
     (app'#(sum(), app'(app'(app(), l), app'(app'(cons(), x), app'(app'(cons(), y), k)))) -> app'#(sum(), app'(app'(cons(), x), app'(app'(cons(), y), k))), app'#(app'(app(), app'(app'(cons(), x), l)), k) -> app'#(app'(app(), l), k))
     (app'#(sum(), app'(app'(app(), l), app'(app'(cons(), x), app'(app'(cons(), y), k)))) -> app'#(sum(), app'(app'(cons(), x), app'(app'(cons(), y), k))), app'#(app'(app(), app'(app'(cons(), x), l)), k) -> app'#(app'(cons(), x), app'(app'(app(), l), k)))
     (app'#(sum(), app'(app'(app(), l), app'(app'(cons(), x), app'(app'(cons(), y), k)))) -> app'#(sum(), app'(app'(cons(), x), app'(app'(cons(), y), k))), app'#(app'(app(), app'(app'(cons(), x), l)), k) -> app'#(app(), l))
     (app'#(sum(), app'(app'(app(), l), app'(app'(cons(), x), app'(app'(cons(), y), k)))) -> app'#(sum(), app'(app'(cons(), x), app'(app'(cons(), y), k))), app'#(app'(map(), f), app'(app'(cons(), x), xs)) -> app'#(f, x))
     (app'#(sum(), app'(app'(app(), l), app'(app'(cons(), x), app'(app'(cons(), y), k)))) -> app'#(sum(), app'(app'(cons(), x), app'(app'(cons(), y), k))), app'#(app'(map(), f), app'(app'(cons(), x), xs)) -> app'#(app'(cons(), app'(f, x)), app'(app'(map(), f), xs)))
     (app'#(sum(), app'(app'(app(), l), app'(app'(cons(), x), app'(app'(cons(), y), k)))) -> app'#(sum(), app'(app'(cons(), x), app'(app'(cons(), y), k))), app'#(app'(map(), f), app'(app'(cons(), x), xs)) -> app'#(app'(map(), f), xs))
     (app'#(sum(), app'(app'(app(), l), app'(app'(cons(), x), app'(app'(cons(), y), k)))) -> app'#(sum(), app'(app'(cons(), x), app'(app'(cons(), y), k))), app'#(app'(map(), f), app'(app'(cons(), x), xs)) -> app'#(cons(), app'(f, x)))
     (app'#(sum(), app'(app'(app(), l), app'(app'(cons(), x), app'(app'(cons(), y), k)))) -> app'#(sum(), app'(app'(cons(), x), app'(app'(cons(), y), k))), app'#(app'(filter(), f), app'(app'(cons(), x), xs)) -> app'#(f, x))
     (app'#(sum(), app'(app'(app(), l), app'(app'(cons(), x), app'(app'(cons(), y), k)))) -> app'#(sum(), app'(app'(cons(), x), app'(app'(cons(), y), k))), app'#(app'(filter(), f), app'(app'(cons(), x), xs)) -> app'#(app'(app'(app'(filter2(), app'(f, x)), f), x), xs))
     (app'#(sum(), app'(app'(app(), l), app'(app'(cons(), x), app'(app'(cons(), y), k)))) -> app'#(sum(), app'(app'(cons(), x), app'(app'(cons(), y), k))), app'#(app'(filter(), f), app'(app'(cons(), x), xs)) -> app'#(app'(app'(filter2(), app'(f, x)), f), x))
     (app'#(sum(), app'(app'(app(), l), app'(app'(cons(), x), app'(app'(cons(), y), k)))) -> app'#(sum(), app'(app'(cons(), x), app'(app'(cons(), y), k))), app'#(app'(filter(), f), app'(app'(cons(), x), xs)) -> app'#(app'(filter2(), app'(f, x)), f))
     (app'#(sum(), app'(app'(app(), l), app'(app'(cons(), x), app'(app'(cons(), y), k)))) -> app'#(sum(), app'(app'(cons(), x), app'(app'(cons(), y), k))), app'#(app'(filter(), f), app'(app'(cons(), x), xs)) -> app'#(filter2(), app'(f, x)))
     (app'#(sum(), app'(app'(app(), l), app'(app'(cons(), x), app'(app'(cons(), y), k)))) -> app'#(sum(), app'(app'(cons(), x), app'(app'(cons(), y), k))), app'#(sum(), app'(app'(app(), l), app'(app'(cons(), x), app'(app'(cons(), y), k)))) -> app'#(app'(app(), l), app'(sum(), app'(app'(cons(), x), app'(app'(cons(), y), k)))))
     (app'#(sum(), app'(app'(app(), l), app'(app'(cons(), x), app'(app'(cons(), y), k)))) -> app'#(sum(), app'(app'(cons(), x), app'(app'(cons(), y), k))), app'#(sum(), app'(app'(app(), l), app'(app'(cons(), x), app'(app'(cons(), y), k)))) -> app'#(sum(), app'(app'(app(), l), app'(sum(), app'(app'(cons(), x), app'(app'(cons(), y), k))))))
     (app'#(sum(), app'(app'(app(), l), app'(app'(cons(), x), app'(app'(cons(), y), k)))) -> app'#(sum(), app'(app'(cons(), x), app'(app'(cons(), y), k))), app'#(sum(), app'(app'(app(), l), app'(app'(cons(), x), app'(app'(cons(), y), k)))) -> app'#(sum(), app'(app'(cons(), x), app'(app'(cons(), y), k))))
     (app'#(sum(), app'(app'(app(), l), app'(app'(cons(), x), app'(app'(cons(), y), k)))) -> app'#(sum(), app'(app'(cons(), x), app'(app'(cons(), y), k))), app'#(sum(), app'(app'(cons(), x), app'(app'(cons(), y), l))) -> app'#(app'(plus(), x), y))
     (app'#(sum(), app'(app'(app(), l), app'(app'(cons(), x), app'(app'(cons(), y), k)))) -> app'#(sum(), app'(app'(cons(), x), app'(app'(cons(), y), k))), app'#(sum(), app'(app'(cons(), x), app'(app'(cons(), y), l))) -> app'#(app'(cons(), app'(app'(plus(), x), y)), l))
     (app'#(sum(), app'(app'(app(), l), app'(app'(cons(), x), app'(app'(cons(), y), k)))) -> app'#(sum(), app'(app'(cons(), x), app'(app'(cons(), y), k))), app'#(sum(), app'(app'(cons(), x), app'(app'(cons(), y), l))) -> app'#(plus(), x))
     (app'#(sum(), app'(app'(app(), l), app'(app'(cons(), x), app'(app'(cons(), y), k)))) -> app'#(sum(), app'(app'(cons(), x), app'(app'(cons(), y), k))), app'#(sum(), app'(app'(cons(), x), app'(app'(cons(), y), l))) -> app'#(cons(), app'(app'(plus(), x), y)))
     (app'#(sum(), app'(app'(app(), l), app'(app'(cons(), x), app'(app'(cons(), y), k)))) -> app'#(sum(), app'(app'(cons(), x), app'(app'(cons(), y), k))), app'#(sum(), app'(app'(cons(), x), app'(app'(cons(), y), l))) -> app'#(sum(), app'(app'(cons(), app'(app'(plus(), x), y)), l)))
     (app'#(sum(), app'(app'(app(), l), app'(app'(cons(), x), app'(app'(cons(), y), k)))) -> app'#(app'(app(), l), app'(sum(), app'(app'(cons(), x), app'(app'(cons(), y), k)))), app'#(app'(app'(app'(filter2(), true()), f), x), xs) -> app'#(app'(cons(), x), app'(app'(filter(), f), xs)))
     (app'#(sum(), app'(app'(app(), l), app'(app'(cons(), x), app'(app'(cons(), y), k)))) -> app'#(app'(app(), l), app'(sum(), app'(app'(cons(), x), app'(app'(cons(), y), k)))), app'#(app'(app'(app'(filter2(), true()), f), x), xs) -> app'#(app'(filter(), f), xs))
     (app'#(sum(), app'(app'(app(), l), app'(app'(cons(), x), app'(app'(cons(), y), k)))) -> app'#(app'(app(), l), app'(sum(), app'(app'(cons(), x), app'(app'(cons(), y), k)))), app'#(app'(app'(app'(filter2(), true()), f), x), xs) -> app'#(cons(), x))
     (app'#(sum(), app'(app'(app(), l), app'(app'(cons(), x), app'(app'(cons(), y), k)))) -> app'#(app'(app(), l), app'(sum(), app'(app'(cons(), x), app'(app'(cons(), y), k)))), app'#(app'(app'(app'(filter2(), true()), f), x), xs) -> app'#(filter(), f))
     (app'#(sum(), app'(app'(app(), l), app'(app'(cons(), x), app'(app'(cons(), y), k)))) -> app'#(app'(app(), l), app'(sum(), app'(app'(cons(), x), app'(app'(cons(), y), k)))), app'#(app'(app'(app'(filter2(), false()), f), x), xs) -> app'#(app'(filter(), f), xs))
     (app'#(sum(), app'(app'(app(), l), app'(app'(cons(), x), app'(app'(cons(), y), k)))) -> app'#(app'(app(), l), app'(sum(), app'(app'(cons(), x), app'(app'(cons(), y), k)))), app'#(app'(app'(app'(filter2(), false()), f), x), xs) -> app'#(filter(), f))
     (app'#(sum(), app'(app'(app(), l), app'(app'(cons(), x), app'(app'(cons(), y), k)))) -> app'#(app'(app(), l), app'(sum(), app'(app'(cons(), x), app'(app'(cons(), y), k)))), app'#(app'(minus(), app'(app'(minus(), x), y)), z) -> app'#(app'(minus(), x), app'(app'(plus(), y), z)))
     (app'#(sum(), app'(app'(app(), l), app'(app'(cons(), x), app'(app'(cons(), y), k)))) -> app'#(app'(app(), l), app'(sum(), app'(app'(cons(), x), app'(app'(cons(), y), k)))), app'#(app'(minus(), app'(app'(minus(), x), y)), z) -> app'#(app'(plus(), y), z))
     (app'#(sum(), app'(app'(app(), l), app'(app'(cons(), x), app'(app'(cons(), y), k)))) -> app'#(app'(app(), l), app'(sum(), app'(app'(cons(), x), app'(app'(cons(), y), k)))), app'#(app'(minus(), app'(app'(minus(), x), y)), z) -> app'#(plus(), y))
     (app'#(sum(), app'(app'(app(), l), app'(app'(cons(), x), app'(app'(cons(), y), k)))) -> app'#(app'(app(), l), app'(sum(), app'(app'(cons(), x), app'(app'(cons(), y), k)))), app'#(app'(minus(), app'(s(), x)), app'(s(), y)) -> app'#(app'(minus(), x), y))
     (app'#(sum(), app'(app'(app(), l), app'(app'(cons(), x), app'(app'(cons(), y), k)))) -> app'#(app'(app(), l), app'(sum(), app'(app'(cons(), x), app'(app'(cons(), y), k)))), app'#(app'(minus(), app'(s(), x)), app'(s(), y)) -> app'#(minus(), x))
     (app'#(sum(), app'(app'(app(), l), app'(app'(cons(), x), app'(app'(cons(), y), k)))) -> app'#(app'(app(), l), app'(sum(), app'(app'(cons(), x), app'(app'(cons(), y), k)))), app'#(app'(plus(), app'(s(), x)), y) -> app'#(app'(plus(), x), y))
     (app'#(sum(), app'(app'(app(), l), app'(app'(cons(), x), app'(app'(cons(), y), k)))) -> app'#(app'(app(), l), app'(sum(), app'(app'(cons(), x), app'(app'(cons(), y), k)))), app'#(app'(plus(), app'(s(), x)), y) -> app'#(s(), app'(app'(plus(), x), y)))
     (app'#(sum(), app'(app'(app(), l), app'(app'(cons(), x), app'(app'(cons(), y), k)))) -> app'#(app'(app(), l), app'(sum(), app'(app'(cons(), x), app'(app'(cons(), y), k)))), app'#(app'(plus(), app'(s(), x)), y) -> app'#(plus(), x))
     (app'#(sum(), app'(app'(app(), l), app'(app'(cons(), x), app'(app'(cons(), y), k)))) -> app'#(app'(app(), l), app'(sum(), app'(app'(cons(), x), app'(app'(cons(), y), k)))), app'#(app'(quot(), app'(s(), x)), app'(s(), y)) -> app'#(app'(minus(), x), y))
     (app'#(sum(), app'(app'(app(), l), app'(app'(cons(), x), app'(app'(cons(), y), k)))) -> app'#(app'(app(), l), app'(sum(), app'(app'(cons(), x), app'(app'(cons(), y), k)))), app'#(app'(quot(), app'(s(), x)), app'(s(), y)) -> app'#(app'(quot(), app'(app'(minus(), x), y)), app'(s(), y)))
     (app'#(sum(), app'(app'(app(), l), app'(app'(cons(), x), app'(app'(cons(), y), k)))) -> app'#(app'(app(), l), app'(sum(), app'(app'(cons(), x), app'(app'(cons(), y), k)))), app'#(app'(quot(), app'(s(), x)), app'(s(), y)) -> app'#(minus(), x))
     (app'#(sum(), app'(app'(app(), l), app'(app'(cons(), x), app'(app'(cons(), y), k)))) -> app'#(app'(app(), l), app'(sum(), app'(app'(cons(), x), app'(app'(cons(), y), k)))), app'#(app'(quot(), app'(s(), x)), app'(s(), y)) -> app'#(s(), app'(app'(quot(), app'(app'(minus(), x), y)), app'(s(), y))))
     (app'#(sum(), app'(app'(app(), l), app'(app'(cons(), x), app'(app'(cons(), y), k)))) -> app'#(app'(app(), l), app'(sum(), app'(app'(cons(), x), app'(app'(cons(), y), k)))), app'#(app'(quot(), app'(s(), x)), app'(s(), y)) -> app'#(quot(), app'(app'(minus(), x), y)))
     (app'#(sum(), app'(app'(app(), l), app'(app'(cons(), x), app'(app'(cons(), y), k)))) -> app'#(app'(app(), l), app'(sum(), app'(app'(cons(), x), app'(app'(cons(), y), k)))), app'#(app'(app(), app'(app'(cons(), x), l)), k) -> app'#(app'(app(), l), k))
     (app'#(sum(), app'(app'(app(), l), app'(app'(cons(), x), app'(app'(cons(), y), k)))) -> app'#(app'(app(), l), app'(sum(), app'(app'(cons(), x), app'(app'(cons(), y), k)))), app'#(app'(app(), app'(app'(cons(), x), l)), k) -> app'#(app'(cons(), x), app'(app'(app(), l), k)))
     (app'#(sum(), app'(app'(app(), l), app'(app'(cons(), x), app'(app'(cons(), y), k)))) -> app'#(app'(app(), l), app'(sum(), app'(app'(cons(), x), app'(app'(cons(), y), k)))), app'#(app'(app(), app'(app'(cons(), x), l)), k) -> app'#(app(), l))
     (app'#(sum(), app'(app'(app(), l), app'(app'(cons(), x), app'(app'(cons(), y), k)))) -> app'#(app'(app(), l), app'(sum(), app'(app'(cons(), x), app'(app'(cons(), y), k)))), app'#(app'(map(), f), app'(app'(cons(), x), xs)) -> app'#(f, x))
     (app'#(sum(), app'(app'(app(), l), app'(app'(cons(), x), app'(app'(cons(), y), k)))) -> app'#(app'(app(), l), app'(sum(), app'(app'(cons(), x), app'(app'(cons(), y), k)))), app'#(app'(map(), f), app'(app'(cons(), x), xs)) -> app'#(app'(cons(), app'(f, x)), app'(app'(map(), f), xs)))
     (app'#(sum(), app'(app'(app(), l), app'(app'(cons(), x), app'(app'(cons(), y), k)))) -> app'#(app'(app(), l), app'(sum(), app'(app'(cons(), x), app'(app'(cons(), y), k)))), app'#(app'(map(), f), app'(app'(cons(), x), xs)) -> app'#(app'(map(), f), xs))
     (app'#(sum(), app'(app'(app(), l), app'(app'(cons(), x), app'(app'(cons(), y), k)))) -> app'#(app'(app(), l), app'(sum(), app'(app'(cons(), x), app'(app'(cons(), y), k)))), app'#(app'(map(), f), app'(app'(cons(), x), xs)) -> app'#(cons(), app'(f, x)))
     (app'#(sum(), app'(app'(app(), l), app'(app'(cons(), x), app'(app'(cons(), y), k)))) -> app'#(app'(app(), l), app'(sum(), app'(app'(cons(), x), app'(app'(cons(), y), k)))), app'#(app'(filter(), f), app'(app'(cons(), x), xs)) -> app'#(f, x))
     (app'#(sum(), app'(app'(app(), l), app'(app'(cons(), x), app'(app'(cons(), y), k)))) -> app'#(app'(app(), l), app'(sum(), app'(app'(cons(), x), app'(app'(cons(), y), k)))), app'#(app'(filter(), f), app'(app'(cons(), x), xs)) -> app'#(app'(app'(app'(filter2(), app'(f, x)), f), x), xs))
     (app'#(sum(), app'(app'(app(), l), app'(app'(cons(), x), app'(app'(cons(), y), k)))) -> app'#(app'(app(), l), app'(sum(), app'(app'(cons(), x), app'(app'(cons(), y), k)))), app'#(app'(filter(), f), app'(app'(cons(), x), xs)) -> app'#(app'(app'(filter2(), app'(f, x)), f), x))
     (app'#(sum(), app'(app'(app(), l), app'(app'(cons(), x), app'(app'(cons(), y), k)))) -> app'#(app'(app(), l), app'(sum(), app'(app'(cons(), x), app'(app'(cons(), y), k)))), app'#(app'(filter(), f), app'(app'(cons(), x), xs)) -> app'#(app'(filter2(), app'(f, x)), f))
     (app'#(sum(), app'(app'(app(), l), app'(app'(cons(), x), app'(app'(cons(), y), k)))) -> app'#(app'(app(), l), app'(sum(), app'(app'(cons(), x), app'(app'(cons(), y), k)))), app'#(app'(filter(), f), app'(app'(cons(), x), xs)) -> app'#(filter2(), app'(f, x)))
     (app'#(sum(), app'(app'(app(), l), app'(app'(cons(), x), app'(app'(cons(), y), k)))) -> app'#(app'(app(), l), app'(sum(), app'(app'(cons(), x), app'(app'(cons(), y), k)))), app'#(sum(), app'(app'(app(), l), app'(app'(cons(), x), app'(app'(cons(), y), k)))) -> app'#(app'(app(), l), app'(sum(), app'(app'(cons(), x), app'(app'(cons(), y), k)))))
     (app'#(sum(), app'(app'(app(), l), app'(app'(cons(), x), app'(app'(cons(), y), k)))) -> app'#(app'(app(), l), app'(sum(), app'(app'(cons(), x), app'(app'(cons(), y), k)))), app'#(sum(), app'(app'(app(), l), app'(app'(cons(), x), app'(app'(cons(), y), k)))) -> app'#(sum(), app'(app'(app(), l), app'(sum(), app'(app'(cons(), x), app'(app'(cons(), y), k))))))
     (app'#(sum(), app'(app'(app(), l), app'(app'(cons(), x), app'(app'(cons(), y), k)))) -> app'#(app'(app(), l), app'(sum(), app'(app'(cons(), x), app'(app'(cons(), y), k)))), app'#(sum(), app'(app'(app(), l), app'(app'(cons(), x), app'(app'(cons(), y), k)))) -> app'#(sum(), app'(app'(cons(), x), app'(app'(cons(), y), k))))
     (app'#(sum(), app'(app'(app(), l), app'(app'(cons(), x), app'(app'(cons(), y), k)))) -> app'#(app'(app(), l), app'(sum(), app'(app'(cons(), x), app'(app'(cons(), y), k)))), app'#(sum(), app'(app'(cons(), x), app'(app'(cons(), y), l))) -> app'#(app'(plus(), x), y))
     (app'#(sum(), app'(app'(app(), l), app'(app'(cons(), x), app'(app'(cons(), y), k)))) -> app'#(app'(app(), l), app'(sum(), app'(app'(cons(), x), app'(app'(cons(), y), k)))), app'#(sum(), app'(app'(cons(), x), app'(app'(cons(), y), l))) -> app'#(app'(cons(), app'(app'(plus(), x), y)), l))
     (app'#(sum(), app'(app'(app(), l), app'(app'(cons(), x), app'(app'(cons(), y), k)))) -> app'#(app'(app(), l), app'(sum(), app'(app'(cons(), x), app'(app'(cons(), y), k)))), app'#(sum(), app'(app'(cons(), x), app'(app'(cons(), y), l))) -> app'#(plus(), x))
     (app'#(sum(), app'(app'(app(), l), app'(app'(cons(), x), app'(app'(cons(), y), k)))) -> app'#(app'(app(), l), app'(sum(), app'(app'(cons(), x), app'(app'(cons(), y), k)))), app'#(sum(), app'(app'(cons(), x), app'(app'(cons(), y), l))) -> app'#(cons(), app'(app'(plus(), x), y)))
     (app'#(sum(), app'(app'(app(), l), app'(app'(cons(), x), app'(app'(cons(), y), k)))) -> app'#(app'(app(), l), app'(sum(), app'(app'(cons(), x), app'(app'(cons(), y), k)))), app'#(sum(), app'(app'(cons(), x), app'(app'(cons(), y), l))) -> app'#(sum(), app'(app'(cons(), app'(app'(plus(), x), y)), l)))
     (app'#(sum(), app'(app'(cons(), x), app'(app'(cons(), y), l))) -> app'#(app'(cons(), app'(app'(plus(), x), y)), l), app'#(app'(app'(app'(filter2(), true()), f), x), xs) -> app'#(app'(cons(), x), app'(app'(filter(), f), xs)))
     (app'#(sum(), app'(app'(cons(), x), app'(app'(cons(), y), l))) -> app'#(app'(cons(), app'(app'(plus(), x), y)), l), app'#(app'(app'(app'(filter2(), true()), f), x), xs) -> app'#(app'(filter(), f), xs))
     (app'#(sum(), app'(app'(cons(), x), app'(app'(cons(), y), l))) -> app'#(app'(cons(), app'(app'(plus(), x), y)), l), app'#(app'(app'(app'(filter2(), true()), f), x), xs) -> app'#(cons(), x))
     (app'#(sum(), app'(app'(cons(), x), app'(app'(cons(), y), l))) -> app'#(app'(cons(), app'(app'(plus(), x), y)), l), app'#(app'(app'(app'(filter2(), true()), f), x), xs) -> app'#(filter(), f))
     (app'#(sum(), app'(app'(cons(), x), app'(app'(cons(), y), l))) -> app'#(app'(cons(), app'(app'(plus(), x), y)), l), app'#(app'(app'(app'(filter2(), false()), f), x), xs) -> app'#(app'(filter(), f), xs))
     (app'#(sum(), app'(app'(cons(), x), app'(app'(cons(), y), l))) -> app'#(app'(cons(), app'(app'(plus(), x), y)), l), app'#(app'(app'(app'(filter2(), false()), f), x), xs) -> app'#(filter(), f))
     (app'#(sum(), app'(app'(cons(), x), app'(app'(cons(), y), l))) -> app'#(app'(cons(), app'(app'(plus(), x), y)), l), app'#(app'(minus(), app'(app'(minus(), x), y)), z) -> app'#(app'(minus(), x), app'(app'(plus(), y), z)))
     (app'#(sum(), app'(app'(cons(), x), app'(app'(cons(), y), l))) -> app'#(app'(cons(), app'(app'(plus(), x), y)), l), app'#(app'(minus(), app'(app'(minus(), x), y)), z) -> app'#(app'(plus(), y), z))
     (app'#(sum(), app'(app'(cons(), x), app'(app'(cons(), y), l))) -> app'#(app'(cons(), app'(app'(plus(), x), y)), l), app'#(app'(minus(), app'(app'(minus(), x), y)), z) -> app'#(plus(), y))
     (app'#(sum(), app'(app'(cons(), x), app'(app'(cons(), y), l))) -> app'#(app'(cons(), app'(app'(plus(), x), y)), l), app'#(app'(minus(), app'(s(), x)), app'(s(), y)) -> app'#(app'(minus(), x), y))
     (app'#(sum(), app'(app'(cons(), x), app'(app'(cons(), y), l))) -> app'#(app'(cons(), app'(app'(plus(), x), y)), l), app'#(app'(minus(), app'(s(), x)), app'(s(), y)) -> app'#(minus(), x))
     (app'#(sum(), app'(app'(cons(), x), app'(app'(cons(), y), l))) -> app'#(app'(cons(), app'(app'(plus(), x), y)), l), app'#(app'(plus(), app'(s(), x)), y) -> app'#(app'(plus(), x), y))
     (app'#(sum(), app'(app'(cons(), x), app'(app'(cons(), y), l))) -> app'#(app'(cons(), app'(app'(plus(), x), y)), l), app'#(app'(plus(), app'(s(), x)), y) -> app'#(s(), app'(app'(plus(), x), y)))
     (app'#(sum(), app'(app'(cons(), x), app'(app'(cons(), y), l))) -> app'#(app'(cons(), app'(app'(plus(), x), y)), l), app'#(app'(plus(), app'(s(), x)), y) -> app'#(plus(), x))
     (app'#(sum(), app'(app'(cons(), x), app'(app'(cons(), y), l))) -> app'#(app'(cons(), app'(app'(plus(), x), y)), l), app'#(app'(quot(), app'(s(), x)), app'(s(), y)) -> app'#(app'(minus(), x), y))
     (app'#(sum(), app'(app'(cons(), x), app'(app'(cons(), y), l))) -> app'#(app'(cons(), app'(app'(plus(), x), y)), l), app'#(app'(quot(), app'(s(), x)), app'(s(), y)) -> app'#(app'(quot(), app'(app'(minus(), x), y)), app'(s(), y)))
     (app'#(sum(), app'(app'(cons(), x), app'(app'(cons(), y), l))) -> app'#(app'(cons(), app'(app'(plus(), x), y)), l), app'#(app'(quot(), app'(s(), x)), app'(s(), y)) -> app'#(minus(), x))
     (app'#(sum(), app'(app'(cons(), x), app'(app'(cons(), y), l))) -> app'#(app'(cons(), app'(app'(plus(), x), y)), l), app'#(app'(quot(), app'(s(), x)), app'(s(), y)) -> app'#(s(), app'(app'(quot(), app'(app'(minus(), x), y)), app'(s(), y))))
     (app'#(sum(), app'(app'(cons(), x), app'(app'(cons(), y), l))) -> app'#(app'(cons(), app'(app'(plus(), x), y)), l), app'#(app'(quot(), app'(s(), x)), app'(s(), y)) -> app'#(quot(), app'(app'(minus(), x), y)))
     (app'#(sum(), app'(app'(cons(), x), app'(app'(cons(), y), l))) -> app'#(app'(cons(), app'(app'(plus(), x), y)), l), app'#(app'(app(), app'(app'(cons(), x), l)), k) -> app'#(app'(app(), l), k))
     (app'#(sum(), app'(app'(cons(), x), app'(app'(cons(), y), l))) -> app'#(app'(cons(), app'(app'(plus(), x), y)), l), app'#(app'(app(), app'(app'(cons(), x), l)), k) -> app'#(app'(cons(), x), app'(app'(app(), l), k)))
     (app'#(sum(), app'(app'(cons(), x), app'(app'(cons(), y), l))) -> app'#(app'(cons(), app'(app'(plus(), x), y)), l), app'#(app'(app(), app'(app'(cons(), x), l)), k) -> app'#(app(), l))
     (app'#(sum(), app'(app'(cons(), x), app'(app'(cons(), y), l))) -> app'#(app'(cons(), app'(app'(plus(), x), y)), l), app'#(app'(map(), f), app'(app'(cons(), x), xs)) -> app'#(f, x))
     (app'#(sum(), app'(app'(cons(), x), app'(app'(cons(), y), l))) -> app'#(app'(cons(), app'(app'(plus(), x), y)), l), app'#(app'(map(), f), app'(app'(cons(), x), xs)) -> app'#(app'(cons(), app'(f, x)), app'(app'(map(), f), xs)))
     (app'#(sum(), app'(app'(cons(), x), app'(app'(cons(), y), l))) -> app'#(app'(cons(), app'(app'(plus(), x), y)), l), app'#(app'(map(), f), app'(app'(cons(), x), xs)) -> app'#(app'(map(), f), xs))
     (app'#(sum(), app'(app'(cons(), x), app'(app'(cons(), y), l))) -> app'#(app'(cons(), app'(app'(plus(), x), y)), l), app'#(app'(map(), f), app'(app'(cons(), x), xs)) -> app'#(cons(), app'(f, x)))
     (app'#(sum(), app'(app'(cons(), x), app'(app'(cons(), y), l))) -> app'#(app'(cons(), app'(app'(plus(), x), y)), l), app'#(app'(filter(), f), app'(app'(cons(), x), xs)) -> app'#(f, x))
     (app'#(sum(), app'(app'(cons(), x), app'(app'(cons(), y), l))) -> app'#(app'(cons(), app'(app'(plus(), x), y)), l), app'#(app'(filter(), f), app'(app'(cons(), x), xs)) -> app'#(app'(app'(app'(filter2(), app'(f, x)), f), x), xs))
     (app'#(sum(), app'(app'(cons(), x), app'(app'(cons(), y), l))) -> app'#(app'(cons(), app'(app'(plus(), x), y)), l), app'#(app'(filter(), f), app'(app'(cons(), x), xs)) -> app'#(app'(app'(filter2(), app'(f, x)), f), x))
     (app'#(sum(), app'(app'(cons(), x), app'(app'(cons(), y), l))) -> app'#(app'(cons(), app'(app'(plus(), x), y)), l), app'#(app'(filter(), f), app'(app'(cons(), x), xs)) -> app'#(app'(filter2(), app'(f, x)), f))
     (app'#(sum(), app'(app'(cons(), x), app'(app'(cons(), y), l))) -> app'#(app'(cons(), app'(app'(plus(), x), y)), l), app'#(app'(filter(), f), app'(app'(cons(), x), xs)) -> app'#(filter2(), app'(f, x)))
     (app'#(sum(), app'(app'(cons(), x), app'(app'(cons(), y), l))) -> app'#(app'(cons(), app'(app'(plus(), x), y)), l), app'#(sum(), app'(app'(app(), l), app'(app'(cons(), x), app'(app'(cons(), y), k)))) -> app'#(app'(app(), l), app'(sum(), app'(app'(cons(), x), app'(app'(cons(), y), k)))))
     (app'#(sum(), app'(app'(cons(), x), app'(app'(cons(), y), l))) -> app'#(app'(cons(), app'(app'(plus(), x), y)), l), app'#(sum(), app'(app'(app(), l), app'(app'(cons(), x), app'(app'(cons(), y), k)))) -> app'#(sum(), app'(app'(app(), l), app'(sum(), app'(app'(cons(), x), app'(app'(cons(), y), k))))))
     (app'#(sum(), app'(app'(cons(), x), app'(app'(cons(), y), l))) -> app'#(app'(cons(), app'(app'(plus(), x), y)), l), app'#(sum(), app'(app'(app(), l), app'(app'(cons(), x), app'(app'(cons(), y), k)))) -> app'#(sum(), app'(app'(cons(), x), app'(app'(cons(), y), k))))
     (app'#(sum(), app'(app'(cons(), x), app'(app'(cons(), y), l))) -> app'#(app'(cons(), app'(app'(plus(), x), y)), l), app'#(sum(), app'(app'(cons(), x), app'(app'(cons(), y), l))) -> app'#(app'(plus(), x), y))
     (app'#(sum(), app'(app'(cons(), x), app'(app'(cons(), y), l))) -> app'#(app'(cons(), app'(app'(plus(), x), y)), l), app'#(sum(), app'(app'(cons(), x), app'(app'(cons(), y), l))) -> app'#(app'(cons(), app'(app'(plus(), x), y)), l))
     (app'#(sum(), app'(app'(cons(), x), app'(app'(cons(), y), l))) -> app'#(app'(cons(), app'(app'(plus(), x), y)), l), app'#(sum(), app'(app'(cons(), x), app'(app'(cons(), y), l))) -> app'#(plus(), x))
     (app'#(sum(), app'(app'(cons(), x), app'(app'(cons(), y), l))) -> app'#(app'(cons(), app'(app'(plus(), x), y)), l), app'#(sum(), app'(app'(cons(), x), app'(app'(cons(), y), l))) -> app'#(cons(), app'(app'(plus(), x), y)))
     (app'#(sum(), app'(app'(cons(), x), app'(app'(cons(), y), l))) -> app'#(app'(cons(), app'(app'(plus(), x), y)), l), app'#(sum(), app'(app'(cons(), x), app'(app'(cons(), y), l))) -> app'#(sum(), app'(app'(cons(), app'(app'(plus(), x), y)), l)))
     (app'#(app'(quot(), app'(s(), x)), app'(s(), y)) -> app'#(app'(minus(), x), y), app'#(app'(app'(app'(filter2(), true()), f), x), xs) -> app'#(app'(cons(), x), app'(app'(filter(), f), xs)))
     (app'#(app'(quot(), app'(s(), x)), app'(s(), y)) -> app'#(app'(minus(), x), y), app'#(app'(app'(app'(filter2(), true()), f), x), xs) -> app'#(app'(filter(), f), xs))
     (app'#(app'(quot(), app'(s(), x)), app'(s(), y)) -> app'#(app'(minus(), x), y), app'#(app'(app'(app'(filter2(), true()), f), x), xs) -> app'#(cons(), x))
     (app'#(app'(quot(), app'(s(), x)), app'(s(), y)) -> app'#(app'(minus(), x), y), app'#(app'(app'(app'(filter2(), true()), f), x), xs) -> app'#(filter(), f))
     (app'#(app'(quot(), app'(s(), x)), app'(s(), y)) -> app'#(app'(minus(), x), y), app'#(app'(app'(app'(filter2(), false()), f), x), xs) -> app'#(app'(filter(), f), xs))
     (app'#(app'(quot(), app'(s(), x)), app'(s(), y)) -> app'#(app'(minus(), x), y), app'#(app'(app'(app'(filter2(), false()), f), x), xs) -> app'#(filter(), f))
     (app'#(app'(quot(), app'(s(), x)), app'(s(), y)) -> app'#(app'(minus(), x), y), app'#(app'(minus(), app'(app'(minus(), x), y)), z) -> app'#(app'(minus(), x), app'(app'(plus(), y), z)))
     (app'#(app'(quot(), app'(s(), x)), app'(s(), y)) -> app'#(app'(minus(), x), y), app'#(app'(minus(), app'(app'(minus(), x), y)), z) -> app'#(app'(plus(), y), z))
     (app'#(app'(quot(), app'(s(), x)), app'(s(), y)) -> app'#(app'(minus(), x), y), app'#(app'(minus(), app'(app'(minus(), x), y)), z) -> app'#(plus(), y))
     (app'#(app'(quot(), app'(s(), x)), app'(s(), y)) -> app'#(app'(minus(), x), y), app'#(app'(minus(), app'(s(), x)), app'(s(), y)) -> app'#(app'(minus(), x), y))
     (app'#(app'(quot(), app'(s(), x)), app'(s(), y)) -> app'#(app'(minus(), x), y), app'#(app'(minus(), app'(s(), x)), app'(s(), y)) -> app'#(minus(), x))
     (app'#(app'(quot(), app'(s(), x)), app'(s(), y)) -> app'#(app'(minus(), x), y), app'#(app'(plus(), app'(s(), x)), y) -> app'#(app'(plus(), x), y))
     (app'#(app'(quot(), app'(s(), x)), app'(s(), y)) -> app'#(app'(minus(), x), y), app'#(app'(plus(), app'(s(), x)), y) -> app'#(s(), app'(app'(plus(), x), y)))
     (app'#(app'(quot(), app'(s(), x)), app'(s(), y)) -> app'#(app'(minus(), x), y), app'#(app'(plus(), app'(s(), x)), y) -> app'#(plus(), x))
     (app'#(app'(quot(), app'(s(), x)), app'(s(), y)) -> app'#(app'(minus(), x), y), app'#(app'(quot(), app'(s(), x)), app'(s(), y)) -> app'#(app'(minus(), x), y))
     (app'#(app'(quot(), app'(s(), x)), app'(s(), y)) -> app'#(app'(minus(), x), y), app'#(app'(quot(), app'(s(), x)), app'(s(), y)) -> app'#(app'(quot(), app'(app'(minus(), x), y)), app'(s(), y)))
     (app'#(app'(quot(), app'(s(), x)), app'(s(), y)) -> app'#(app'(minus(), x), y), app'#(app'(quot(), app'(s(), x)), app'(s(), y)) -> app'#(minus(), x))
     (app'#(app'(quot(), app'(s(), x)), app'(s(), y)) -> app'#(app'(minus(), x), y), app'#(app'(quot(), app'(s(), x)), app'(s(), y)) -> app'#(s(), app'(app'(quot(), app'(app'(minus(), x), y)), app'(s(), y))))
     (app'#(app'(quot(), app'(s(), x)), app'(s(), y)) -> app'#(app'(minus(), x), y), app'#(app'(quot(), app'(s(), x)), app'(s(), y)) -> app'#(quot(), app'(app'(minus(), x), y)))
     (app'#(app'(quot(), app'(s(), x)), app'(s(), y)) -> app'#(app'(minus(), x), y), app'#(app'(app(), app'(app'(cons(), x), l)), k) -> app'#(app'(app(), l), k))
     (app'#(app'(quot(), app'(s(), x)), app'(s(), y)) -> app'#(app'(minus(), x), y), app'#(app'(app(), app'(app'(cons(), x), l)), k) -> app'#(app'(cons(), x), app'(app'(app(), l), k)))
     (app'#(app'(quot(), app'(s(), x)), app'(s(), y)) -> app'#(app'(minus(), x), y), app'#(app'(app(), app'(app'(cons(), x), l)), k) -> app'#(app(), l))
     (app'#(app'(quot(), app'(s(), x)), app'(s(), y)) -> app'#(app'(minus(), x), y), app'#(app'(map(), f), app'(app'(cons(), x), xs)) -> app'#(f, x))
     (app'#(app'(quot(), app'(s(), x)), app'(s(), y)) -> app'#(app'(minus(), x), y), app'#(app'(map(), f), app'(app'(cons(), x), xs)) -> app'#(app'(cons(), app'(f, x)), app'(app'(map(), f), xs)))
     (app'#(app'(quot(), app'(s(), x)), app'(s(), y)) -> app'#(app'(minus(), x), y), app'#(app'(map(), f), app'(app'(cons(), x), xs)) -> app'#(app'(map(), f), xs))
     (app'#(app'(quot(), app'(s(), x)), app'(s(), y)) -> app'#(app'(minus(), x), y), app'#(app'(map(), f), app'(app'(cons(), x), xs)) -> app'#(cons(), app'(f, x)))
     (app'#(app'(quot(), app'(s(), x)), app'(s(), y)) -> app'#(app'(minus(), x), y), app'#(app'(filter(), f), app'(app'(cons(), x), xs)) -> app'#(f, x))
     (app'#(app'(quot(), app'(s(), x)), app'(s(), y)) -> app'#(app'(minus(), x), y), app'#(app'(filter(), f), app'(app'(cons(), x), xs)) -> app'#(app'(app'(app'(filter2(), app'(f, x)), f), x), xs))
     (app'#(app'(quot(), app'(s(), x)), app'(s(), y)) -> app'#(app'(minus(), x), y), app'#(app'(filter(), f), app'(app'(cons(), x), xs)) -> app'#(app'(app'(filter2(), app'(f, x)), f), x))
     (app'#(app'(quot(), app'(s(), x)), app'(s(), y)) -> app'#(app'(minus(), x), y), app'#(app'(filter(), f), app'(app'(cons(), x), xs)) -> app'#(app'(filter2(), app'(f, x)), f))
     (app'#(app'(quot(), app'(s(), x)), app'(s(), y)) -> app'#(app'(minus(), x), y), app'#(app'(filter(), f), app'(app'(cons(), x), xs)) -> app'#(filter2(), app'(f, x)))
     (app'#(app'(quot(), app'(s(), x)), app'(s(), y)) -> app'#(app'(minus(), x), y), app'#(sum(), app'(app'(app(), l), app'(app'(cons(), x), app'(app'(cons(), y), k)))) -> app'#(app'(app(), l), app'(sum(), app'(app'(cons(), x), app'(app'(cons(), y), k)))))
     (app'#(app'(quot(), app'(s(), x)), app'(s(), y)) -> app'#(app'(minus(), x), y), app'#(sum(), app'(app'(app(), l), app'(app'(cons(), x), app'(app'(cons(), y), k)))) -> app'#(sum(), app'(app'(app(), l), app'(sum(), app'(app'(cons(), x), app'(app'(cons(), y), k))))))
     (app'#(app'(quot(), app'(s(), x)), app'(s(), y)) -> app'#(app'(minus(), x), y), app'#(sum(), app'(app'(app(), l), app'(app'(cons(), x), app'(app'(cons(), y), k)))) -> app'#(sum(), app'(app'(cons(), x), app'(app'(cons(), y), k))))
     (app'#(app'(quot(), app'(s(), x)), app'(s(), y)) -> app'#(app'(minus(), x), y), app'#(sum(), app'(app'(cons(), x), app'(app'(cons(), y), l))) -> app'#(app'(plus(), x), y))
     (app'#(app'(quot(), app'(s(), x)), app'(s(), y)) -> app'#(app'(minus(), x), y), app'#(sum(), app'(app'(cons(), x), app'(app'(cons(), y), l))) -> app'#(app'(cons(), app'(app'(plus(), x), y)), l))
     (app'#(app'(quot(), app'(s(), x)), app'(s(), y)) -> app'#(app'(minus(), x), y), app'#(sum(), app'(app'(cons(), x), app'(app'(cons(), y), l))) -> app'#(plus(), x))
     (app'#(app'(quot(), app'(s(), x)), app'(s(), y)) -> app'#(app'(minus(), x), y), app'#(sum(), app'(app'(cons(), x), app'(app'(cons(), y), l))) -> app'#(cons(), app'(app'(plus(), x), y)))
     (app'#(app'(quot(), app'(s(), x)), app'(s(), y)) -> app'#(app'(minus(), x), y), app'#(sum(), app'(app'(cons(), x), app'(app'(cons(), y), l))) -> app'#(sum(), app'(app'(cons(), app'(app'(plus(), x), y)), l)))
     (app'#(app'(minus(), app'(s(), x)), app'(s(), y)) -> app'#(app'(minus(), x), y), app'#(app'(app'(app'(filter2(), true()), f), x), xs) -> app'#(app'(cons(), x), app'(app'(filter(), f), xs)))
     (app'#(app'(minus(), app'(s(), x)), app'(s(), y)) -> app'#(app'(minus(), x), y), app'#(app'(app'(app'(filter2(), true()), f), x), xs) -> app'#(app'(filter(), f), xs))
     (app'#(app'(minus(), app'(s(), x)), app'(s(), y)) -> app'#(app'(minus(), x), y), app'#(app'(app'(app'(filter2(), true()), f), x), xs) -> app'#(cons(), x))
     (app'#(app'(minus(), app'(s(), x)), app'(s(), y)) -> app'#(app'(minus(), x), y), app'#(app'(app'(app'(filter2(), true()), f), x), xs) -> app'#(filter(), f))
     (app'#(app'(minus(), app'(s(), x)), app'(s(), y)) -> app'#(app'(minus(), x), y), app'#(app'(app'(app'(filter2(), false()), f), x), xs) -> app'#(app'(filter(), f), xs))
     (app'#(app'(minus(), app'(s(), x)), app'(s(), y)) -> app'#(app'(minus(), x), y), app'#(app'(app'(app'(filter2(), false()), f), x), xs) -> app'#(filter(), f))
     (app'#(app'(minus(), app'(s(), x)), app'(s(), y)) -> app'#(app'(minus(), x), y), app'#(app'(minus(), app'(app'(minus(), x), y)), z) -> app'#(app'(minus(), x), app'(app'(plus(), y), z)))
     (app'#(app'(minus(), app'(s(), x)), app'(s(), y)) -> app'#(app'(minus(), x), y), app'#(app'(minus(), app'(app'(minus(), x), y)), z) -> app'#(app'(plus(), y), z))
     (app'#(app'(minus(), app'(s(), x)), app'(s(), y)) -> app'#(app'(minus(), x), y), app'#(app'(minus(), app'(app'(minus(), x), y)), z) -> app'#(plus(), y))
     (app'#(app'(minus(), app'(s(), x)), app'(s(), y)) -> app'#(app'(minus(), x), y), app'#(app'(minus(), app'(s(), x)), app'(s(), y)) -> app'#(app'(minus(), x), y))
     (app'#(app'(minus(), app'(s(), x)), app'(s(), y)) -> app'#(app'(minus(), x), y), app'#(app'(minus(), app'(s(), x)), app'(s(), y)) -> app'#(minus(), x))
     (app'#(app'(minus(), app'(s(), x)), app'(s(), y)) -> app'#(app'(minus(), x), y), app'#(app'(plus(), app'(s(), x)), y) -> app'#(app'(plus(), x), y))
     (app'#(app'(minus(), app'(s(), x)), app'(s(), y)) -> app'#(app'(minus(), x), y), app'#(app'(plus(), app'(s(), x)), y) -> app'#(s(), app'(app'(plus(), x), y)))
     (app'#(app'(minus(), app'(s(), x)), app'(s(), y)) -> app'#(app'(minus(), x), y), app'#(app'(plus(), app'(s(), x)), y) -> app'#(plus(), x))
     (app'#(app'(minus(), app'(s(), x)), app'(s(), y)) -> app'#(app'(minus(), x), y), app'#(app'(quot(), app'(s(), x)), app'(s(), y)) -> app'#(app'(minus(), x), y))
     (app'#(app'(minus(), app'(s(), x)), app'(s(), y)) -> app'#(app'(minus(), x), y), app'#(app'(quot(), app'(s(), x)), app'(s(), y)) -> app'#(app'(quot(), app'(app'(minus(), x), y)), app'(s(), y)))
     (app'#(app'(minus(), app'(s(), x)), app'(s(), y)) -> app'#(app'(minus(), x), y), app'#(app'(quot(), app'(s(), x)), app'(s(), y)) -> app'#(minus(), x))
     (app'#(app'(minus(), app'(s(), x)), app'(s(), y)) -> app'#(app'(minus(), x), y), app'#(app'(quot(), app'(s(), x)), app'(s(), y)) -> app'#(s(), app'(app'(quot(), app'(app'(minus(), x), y)), app'(s(), y))))
     (app'#(app'(minus(), app'(s(), x)), app'(s(), y)) -> app'#(app'(minus(), x), y), app'#(app'(quot(), app'(s(), x)), app'(s(), y)) -> app'#(quot(), app'(app'(minus(), x), y)))
     (app'#(app'(minus(), app'(s(), x)), app'(s(), y)) -> app'#(app'(minus(), x), y), app'#(app'(app(), app'(app'(cons(), x), l)), k) -> app'#(app'(app(), l), k))
     (app'#(app'(minus(), app'(s(), x)), app'(s(), y)) -> app'#(app'(minus(), x), y), app'#(app'(app(), app'(app'(cons(), x), l)), k) -> app'#(app'(cons(), x), app'(app'(app(), l), k)))
     (app'#(app'(minus(), app'(s(), x)), app'(s(), y)) -> app'#(app'(minus(), x), y), app'#(app'(app(), app'(app'(cons(), x), l)), k) -> app'#(app(), l))
     (app'#(app'(minus(), app'(s(), x)), app'(s(), y)) -> app'#(app'(minus(), x), y), app'#(app'(map(), f), app'(app'(cons(), x), xs)) -> app'#(f, x))
     (app'#(app'(minus(), app'(s(), x)), app'(s(), y)) -> app'#(app'(minus(), x), y), app'#(app'(map(), f), app'(app'(cons(), x), xs)) -> app'#(app'(cons(), app'(f, x)), app'(app'(map(), f), xs)))
     (app'#(app'(minus(), app'(s(), x)), app'(s(), y)) -> app'#(app'(minus(), x), y), app'#(app'(map(), f), app'(app'(cons(), x), xs)) -> app'#(app'(map(), f), xs))
     (app'#(app'(minus(), app'(s(), x)), app'(s(), y)) -> app'#(app'(minus(), x), y), app'#(app'(map(), f), app'(app'(cons(), x), xs)) -> app'#(cons(), app'(f, x)))
     (app'#(app'(minus(), app'(s(), x)), app'(s(), y)) -> app'#(app'(minus(), x), y), app'#(app'(filter(), f), app'(app'(cons(), x), xs)) -> app'#(f, x))
     (app'#(app'(minus(), app'(s(), x)), app'(s(), y)) -> app'#(app'(minus(), x), y), app'#(app'(filter(), f), app'(app'(cons(), x), xs)) -> app'#(app'(app'(app'(filter2(), app'(f, x)), f), x), xs))
     (app'#(app'(minus(), app'(s(), x)), app'(s(), y)) -> app'#(app'(minus(), x), y), app'#(app'(filter(), f), app'(app'(cons(), x), xs)) -> app'#(app'(app'(filter2(), app'(f, x)), f), x))
     (app'#(app'(minus(), app'(s(), x)), app'(s(), y)) -> app'#(app'(minus(), x), y), app'#(app'(filter(), f), app'(app'(cons(), x), xs)) -> app'#(app'(filter2(), app'(f, x)), f))
     (app'#(app'(minus(), app'(s(), x)), app'(s(), y)) -> app'#(app'(minus(), x), y), app'#(app'(filter(), f), app'(app'(cons(), x), xs)) -> app'#(filter2(), app'(f, x)))
     (app'#(app'(minus(), app'(s(), x)), app'(s(), y)) -> app'#(app'(minus(), x), y), app'#(sum(), app'(app'(app(), l), app'(app'(cons(), x), app'(app'(cons(), y), k)))) -> app'#(app'(app(), l), app'(sum(), app'(app'(cons(), x), app'(app'(cons(), y), k)))))
     (app'#(app'(minus(), app'(s(), x)), app'(s(), y)) -> app'#(app'(minus(), x), y), app'#(sum(), app'(app'(app(), l), app'(app'(cons(), x), app'(app'(cons(), y), k)))) -> app'#(sum(), app'(app'(app(), l), app'(sum(), app'(app'(cons(), x), app'(app'(cons(), y), k))))))
     (app'#(app'(minus(), app'(s(), x)), app'(s(), y)) -> app'#(app'(minus(), x), y), app'#(sum(), app'(app'(app(), l), app'(app'(cons(), x), app'(app'(cons(), y), k)))) -> app'#(sum(), app'(app'(cons(), x), app'(app'(cons(), y), k))))
     (app'#(app'(minus(), app'(s(), x)), app'(s(), y)) -> app'#(app'(minus(), x), y), app'#(sum(), app'(app'(cons(), x), app'(app'(cons(), y), l))) -> app'#(app'(plus(), x), y))
     (app'#(app'(minus(), app'(s(), x)), app'(s(), y)) -> app'#(app'(minus(), x), y), app'#(sum(), app'(app'(cons(), x), app'(app'(cons(), y), l))) -> app'#(app'(cons(), app'(app'(plus(), x), y)), l))
     (app'#(app'(minus(), app'(s(), x)), app'(s(), y)) -> app'#(app'(minus(), x), y), app'#(sum(), app'(app'(cons(), x), app'(app'(cons(), y), l))) -> app'#(plus(), x))
     (app'#(app'(minus(), app'(s(), x)), app'(s(), y)) -> app'#(app'(minus(), x), y), app'#(sum(), app'(app'(cons(), x), app'(app'(cons(), y), l))) -> app'#(cons(), app'(app'(plus(), x), y)))
     (app'#(app'(minus(), app'(s(), x)), app'(s(), y)) -> app'#(app'(minus(), x), y), app'#(sum(), app'(app'(cons(), x), app'(app'(cons(), y), l))) -> app'#(sum(), app'(app'(cons(), app'(app'(plus(), x), y)), l)))
    }
    EDG:
     {
      (app'#(app'(plus(), app'(s(), x)), y) -> app'#(app'(plus(), x), y), app'#(app'(plus(), app'(s(), x)), y) -> app'#(plus(), x))
      (app'#(app'(plus(), app'(s(), x)), y) -> app'#(app'(plus(), x), y), app'#(app'(plus(), app'(s(), x)), y) -> app'#(s(), app'(app'(plus(), x), y)))
      (app'#(app'(plus(), app'(s(), x)), y) -> app'#(app'(plus(), x), y), app'#(app'(plus(), app'(s(), x)), y) -> app'#(app'(plus(), x), y))
      (app'#(sum(), app'(app'(cons(), x), app'(app'(cons(), y), l))) -> app'#(app'(plus(), x), y), app'#(app'(plus(), app'(s(), x)), y) -> app'#(plus(), x))
      (app'#(sum(), app'(app'(cons(), x), app'(app'(cons(), y), l))) -> app'#(app'(plus(), x), y), app'#(app'(plus(), app'(s(), x)), y) -> app'#(s(), app'(app'(plus(), x), y)))
      (app'#(sum(), app'(app'(cons(), x), app'(app'(cons(), y), l))) -> app'#(app'(plus(), x), y), app'#(app'(plus(), app'(s(), x)), y) -> app'#(app'(plus(), x), y))
      (app'#(sum(), app'(app'(app(), l), app'(app'(cons(), x), app'(app'(cons(), y), k)))) -> app'#(sum(), app'(app'(app(), l), app'(sum(), app'(app'(cons(), x), app'(app'(cons(), y), k))))), app'#(sum(), app'(app'(cons(), x), app'(app'(cons(), y), l))) -> app'#(sum(), app'(app'(cons(), app'(app'(plus(), x), y)), l)))
      (app'#(sum(), app'(app'(app(), l), app'(app'(cons(), x), app'(app'(cons(), y), k)))) -> app'#(sum(), app'(app'(app(), l), app'(sum(), app'(app'(cons(), x), app'(app'(cons(), y), k))))), app'#(sum(), app'(app'(cons(), x), app'(app'(cons(), y), l))) -> app'#(cons(), app'(app'(plus(), x), y)))
      (app'#(sum(), app'(app'(app(), l), app'(app'(cons(), x), app'(app'(cons(), y), k)))) -> app'#(sum(), app'(app'(app(), l), app'(sum(), app'(app'(cons(), x), app'(app'(cons(), y), k))))), app'#(sum(), app'(app'(cons(), x), app'(app'(cons(), y), l))) -> app'#(plus(), x))
      (app'#(sum(), app'(app'(app(), l), app'(app'(cons(), x), app'(app'(cons(), y), k)))) -> app'#(sum(), app'(app'(app(), l), app'(sum(), app'(app'(cons(), x), app'(app'(cons(), y), k))))), app'#(sum(), app'(app'(cons(), x), app'(app'(cons(), y), l))) -> app'#(app'(cons(), app'(app'(plus(), x), y)), l))
      (app'#(sum(), app'(app'(app(), l), app'(app'(cons(), x), app'(app'(cons(), y), k)))) -> app'#(sum(), app'(app'(app(), l), app'(sum(), app'(app'(cons(), x), app'(app'(cons(), y), k))))), app'#(sum(), app'(app'(cons(), x), app'(app'(cons(), y), l))) -> app'#(app'(plus(), x), y))
      (app'#(sum(), app'(app'(app(), l), app'(app'(cons(), x), app'(app'(cons(), y), k)))) -> app'#(sum(), app'(app'(app(), l), app'(sum(), app'(app'(cons(), x), app'(app'(cons(), y), k))))), app'#(sum(), app'(app'(app(), l), app'(app'(cons(), x), app'(app'(cons(), y), k)))) -> app'#(sum(), app'(app'(cons(), x), app'(app'(cons(), y), k))))
      (app'#(sum(), app'(app'(app(), l), app'(app'(cons(), x), app'(app'(cons(), y), k)))) -> app'#(sum(), app'(app'(app(), l), app'(sum(), app'(app'(cons(), x), app'(app'(cons(), y), k))))), app'#(sum(), app'(app'(app(), l), app'(app'(cons(), x), app'(app'(cons(), y), k)))) -> app'#(sum(), app'(app'(app(), l), app'(sum(), app'(app'(cons(), x), app'(app'(cons(), y), k))))))
      (app'#(sum(), app'(app'(app(), l), app'(app'(cons(), x), app'(app'(cons(), y), k)))) -> app'#(sum(), app'(app'(app(), l), app'(sum(), app'(app'(cons(), x), app'(app'(cons(), y), k))))), app'#(sum(), app'(app'(app(), l), app'(app'(cons(), x), app'(app'(cons(), y), k)))) -> app'#(app'(app(), l), app'(sum(), app'(app'(cons(), x), app'(app'(cons(), y), k)))))
      (app'#(app'(minus(), app'(app'(minus(), x), y)), z) -> app'#(app'(plus(), y), z), app'#(app'(plus(), app'(s(), x)), y) -> app'#(plus(), x))
      (app'#(app'(minus(), app'(app'(minus(), x), y)), z) -> app'#(app'(plus(), y), z), app'#(app'(plus(), app'(s(), x)), y) -> app'#(s(), app'(app'(plus(), x), y)))
      (app'#(app'(minus(), app'(app'(minus(), x), y)), z) -> app'#(app'(plus(), y), z), app'#(app'(plus(), app'(s(), x)), y) -> app'#(app'(plus(), x), y))
      (app'#(app'(quot(), app'(s(), x)), app'(s(), y)) -> app'#(app'(quot(), app'(app'(minus(), x), y)), app'(s(), y)), app'#(app'(quot(), app'(s(), x)), app'(s(), y)) -> app'#(quot(), app'(app'(minus(), x), y)))
      (app'#(app'(quot(), app'(s(), x)), app'(s(), y)) -> app'#(app'(quot(), app'(app'(minus(), x), y)), app'(s(), y)), app'#(app'(quot(), app'(s(), x)), app'(s(), y)) -> app'#(s(), app'(app'(quot(), app'(app'(minus(), x), y)), app'(s(), y))))
      (app'#(app'(quot(), app'(s(), x)), app'(s(), y)) -> app'#(app'(quot(), app'(app'(minus(), x), y)), app'(s(), y)), app'#(app'(quot(), app'(s(), x)), app'(s(), y)) -> app'#(minus(), x))
      (app'#(app'(quot(), app'(s(), x)), app'(s(), y)) -> app'#(app'(quot(), app'(app'(minus(), x), y)), app'(s(), y)), app'#(app'(quot(), app'(s(), x)), app'(s(), y)) -> app'#(app'(quot(), app'(app'(minus(), x), y)), app'(s(), y)))
      (app'#(app'(quot(), app'(s(), x)), app'(s(), y)) -> app'#(app'(quot(), app'(app'(minus(), x), y)), app'(s(), y)), app'#(app'(quot(), app'(s(), x)), app'(s(), y)) -> app'#(app'(minus(), x), y))
      (app'#(app'(app'(app'(filter2(), true()), f), x), xs) -> app'#(app'(filter(), f), xs), app'#(app'(filter(), f), app'(app'(cons(), x), xs)) -> app'#(filter2(), app'(f, x)))
      (app'#(app'(app'(app'(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'#(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'(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'#(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'#(cons(), app'(f, x)))
      (app'#(app'(map(), f), app'(app'(cons(), x), xs)) -> app'#(app'(map(), f), xs), app'#(app'(map(), f), app'(app'(cons(), x), xs)) -> app'#(app'(map(), f), xs))
      (app'#(app'(map(), f), app'(app'(cons(), x), xs)) -> app'#(app'(map(), f), xs), app'#(app'(map(), f), app'(app'(cons(), x), xs)) -> app'#(app'(cons(), app'(f, x)), app'(app'(map(), f), xs)))
      (app'#(app'(map(), f), app'(app'(cons(), x), xs)) -> app'#(app'(map(), f), xs), app'#(app'(map(), f), app'(app'(cons(), x), xs)) -> app'#(f, x))
      (app'#(app'(map(), f), app'(app'(cons(), x), xs)) -> app'#(f, x), app'#(sum(), app'(app'(cons(), x), app'(app'(cons(), y), l))) -> app'#(sum(), app'(app'(cons(), app'(app'(plus(), x), y)), l)))
      (app'#(app'(map(), f), app'(app'(cons(), x), xs)) -> app'#(f, x), app'#(sum(), app'(app'(cons(), x), app'(app'(cons(), y), l))) -> app'#(cons(), app'(app'(plus(), x), y)))
      (app'#(app'(map(), f), app'(app'(cons(), x), xs)) -> app'#(f, x), app'#(sum(), app'(app'(cons(), x), app'(app'(cons(), y), l))) -> app'#(plus(), x))
      (app'#(app'(map(), f), app'(app'(cons(), x), xs)) -> app'#(f, x), app'#(sum(), app'(app'(cons(), x), app'(app'(cons(), y), l))) -> app'#(app'(cons(), app'(app'(plus(), x), y)), l))
      (app'#(app'(map(), f), app'(app'(cons(), x), xs)) -> app'#(f, x), app'#(sum(), app'(app'(cons(), x), app'(app'(cons(), y), l))) -> app'#(app'(plus(), x), y))
      (app'#(app'(map(), f), app'(app'(cons(), x), xs)) -> app'#(f, x), app'#(sum(), app'(app'(app(), l), app'(app'(cons(), x), app'(app'(cons(), y), k)))) -> app'#(sum(), app'(app'(cons(), x), app'(app'(cons(), y), k))))
      (app'#(app'(map(), f), app'(app'(cons(), x), xs)) -> app'#(f, x), app'#(sum(), app'(app'(app(), l), app'(app'(cons(), x), app'(app'(cons(), y), k)))) -> app'#(sum(), app'(app'(app(), l), app'(sum(), app'(app'(cons(), x), app'(app'(cons(), y), k))))))
      (app'#(app'(map(), f), app'(app'(cons(), x), xs)) -> app'#(f, x), app'#(sum(), app'(app'(app(), l), app'(app'(cons(), x), app'(app'(cons(), y), k)))) -> app'#(app'(app(), l), app'(sum(), app'(app'(cons(), x), app'(app'(cons(), y), k)))))
      (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'(app(), app'(app'(cons(), x), l)), k) -> app'#(app(), l))
      (app'#(app'(map(), f), app'(app'(cons(), x), xs)) -> app'#(f, x), app'#(app'(app(), app'(app'(cons(), x), l)), k) -> app'#(app'(cons(), x), app'(app'(app(), l), k)))
      (app'#(app'(map(), f), app'(app'(cons(), x), xs)) -> app'#(f, x), app'#(app'(app(), app'(app'(cons(), x), l)), k) -> app'#(app'(app(), l), k))
      (app'#(app'(map(), f), app'(app'(cons(), x), xs)) -> app'#(f, x), app'#(app'(quot(), app'(s(), x)), app'(s(), y)) -> app'#(quot(), app'(app'(minus(), x), y)))
      (app'#(app'(map(), f), app'(app'(cons(), x), xs)) -> app'#(f, x), app'#(app'(quot(), app'(s(), x)), app'(s(), y)) -> app'#(s(), app'(app'(quot(), app'(app'(minus(), x), y)), app'(s(), y))))
      (app'#(app'(map(), f), app'(app'(cons(), x), xs)) -> app'#(f, x), app'#(app'(quot(), app'(s(), x)), app'(s(), y)) -> app'#(minus(), x))
      (app'#(app'(map(), f), app'(app'(cons(), x), xs)) -> app'#(f, x), app'#(app'(quot(), app'(s(), x)), app'(s(), y)) -> app'#(app'(quot(), app'(app'(minus(), x), y)), app'(s(), y)))
      (app'#(app'(map(), f), app'(app'(cons(), x), xs)) -> app'#(f, x), app'#(app'(quot(), app'(s(), x)), app'(s(), y)) -> app'#(app'(minus(), x), y))
      (app'#(app'(map(), f), app'(app'(cons(), x), xs)) -> app'#(f, x), app'#(app'(plus(), app'(s(), x)), y) -> app'#(plus(), x))
      (app'#(app'(map(), f), app'(app'(cons(), x), xs)) -> app'#(f, x), app'#(app'(plus(), app'(s(), x)), y) -> app'#(s(), app'(app'(plus(), x), y)))
      (app'#(app'(map(), f), app'(app'(cons(), x), xs)) -> app'#(f, x), app'#(app'(plus(), app'(s(), x)), y) -> app'#(app'(plus(), x), y))
      (app'#(app'(map(), f), app'(app'(cons(), x), xs)) -> app'#(f, x), app'#(app'(minus(), app'(s(), x)), app'(s(), y)) -> app'#(minus(), x))
      (app'#(app'(map(), f), app'(app'(cons(), x), xs)) -> app'#(f, x), app'#(app'(minus(), app'(s(), x)), app'(s(), y)) -> app'#(app'(minus(), x), y))
      (app'#(app'(map(), f), app'(app'(cons(), x), xs)) -> app'#(f, x), app'#(app'(minus(), app'(app'(minus(), x), y)), z) -> app'#(plus(), y))
      (app'#(app'(map(), f), app'(app'(cons(), x), xs)) -> app'#(f, x), app'#(app'(minus(), app'(app'(minus(), x), y)), z) -> app'#(app'(plus(), y), z))
      (app'#(app'(map(), f), app'(app'(cons(), x), xs)) -> app'#(f, x), app'#(app'(minus(), app'(app'(minus(), x), y)), z) -> app'#(app'(minus(), x), app'(app'(plus(), y), z)))
      (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'(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'(minus(), app'(app'(minus(), x), y)), z) -> app'#(app'(minus(), x), app'(app'(plus(), y), z)))
      (app'#(app'(filter(), f), app'(app'(cons(), x), xs)) -> app'#(f, x), app'#(app'(minus(), app'(app'(minus(), x), y)), z) -> app'#(app'(plus(), y), z))
      (app'#(app'(filter(), f), app'(app'(cons(), x), xs)) -> app'#(f, x), app'#(app'(minus(), app'(app'(minus(), x), y)), z) -> app'#(plus(), y))
      (app'#(app'(filter(), f), app'(app'(cons(), x), xs)) -> app'#(f, x), app'#(app'(minus(), app'(s(), x)), app'(s(), y)) -> app'#(app'(minus(), x), y))
      (app'#(app'(filter(), f), app'(app'(cons(), x), xs)) -> app'#(f, x), app'#(app'(minus(), app'(s(), x)), app'(s(), y)) -> app'#(minus(), x))
      (app'#(app'(filter(), f), app'(app'(cons(), x), xs)) -> app'#(f, x), app'#(app'(plus(), app'(s(), x)), y) -> app'#(app'(plus(), x), y))
      (app'#(app'(filter(), f), app'(app'(cons(), x), xs)) -> app'#(f, x), app'#(app'(plus(), app'(s(), x)), y) -> app'#(s(), app'(app'(plus(), x), y)))
      (app'#(app'(filter(), f), app'(app'(cons(), x), xs)) -> app'#(f, x), app'#(app'(plus(), app'(s(), x)), y) -> app'#(plus(), x))
      (app'#(app'(filter(), f), app'(app'(cons(), x), xs)) -> app'#(f, x), app'#(app'(quot(), app'(s(), x)), app'(s(), y)) -> app'#(app'(minus(), x), y))
      (app'#(app'(filter(), f), app'(app'(cons(), x), xs)) -> app'#(f, x), app'#(app'(quot(), app'(s(), x)), app'(s(), y)) -> app'#(app'(quot(), app'(app'(minus(), x), y)), app'(s(), y)))
      (app'#(app'(filter(), f), app'(app'(cons(), x), xs)) -> app'#(f, x), app'#(app'(quot(), app'(s(), x)), app'(s(), y)) -> app'#(minus(), x))
      (app'#(app'(filter(), f), app'(app'(cons(), x), xs)) -> app'#(f, x), app'#(app'(quot(), app'(s(), x)), app'(s(), y)) -> app'#(s(), app'(app'(quot(), app'(app'(minus(), x), y)), app'(s(), y))))
      (app'#(app'(filter(), f), app'(app'(cons(), x), xs)) -> app'#(f, x), app'#(app'(quot(), app'(s(), x)), app'(s(), y)) -> app'#(quot(), app'(app'(minus(), x), y)))
      (app'#(app'(filter(), f), app'(app'(cons(), x), xs)) -> app'#(f, x), app'#(app'(app(), app'(app'(cons(), x), l)), k) -> app'#(app'(app(), l), k))
      (app'#(app'(filter(), f), app'(app'(cons(), x), xs)) -> app'#(f, x), app'#(app'(app(), app'(app'(cons(), x), l)), k) -> app'#(app'(cons(), x), app'(app'(app(), l), k)))
      (app'#(app'(filter(), f), app'(app'(cons(), x), xs)) -> app'#(f, x), app'#(app'(app(), app'(app'(cons(), x), l)), k) -> app'#(app(), l))
      (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'#(sum(), app'(app'(app(), l), app'(app'(cons(), x), app'(app'(cons(), y), k)))) -> app'#(app'(app(), l), app'(sum(), app'(app'(cons(), x), app'(app'(cons(), y), k)))))
      (app'#(app'(filter(), f), app'(app'(cons(), x), xs)) -> app'#(f, x), app'#(sum(), app'(app'(app(), l), app'(app'(cons(), x), app'(app'(cons(), y), k)))) -> app'#(sum(), app'(app'(app(), l), app'(sum(), app'(app'(cons(), x), app'(app'(cons(), y), k))))))
      (app'#(app'(filter(), f), app'(app'(cons(), x), xs)) -> app'#(f, x), app'#(sum(), app'(app'(app(), l), app'(app'(cons(), x), app'(app'(cons(), y), k)))) -> app'#(sum(), app'(app'(cons(), x), app'(app'(cons(), y), k))))
      (app'#(app'(filter(), f), app'(app'(cons(), x), xs)) -> app'#(f, x), app'#(sum(), app'(app'(cons(), x), app'(app'(cons(), y), l))) -> app'#(app'(plus(), x), y))
      (app'#(app'(filter(), f), app'(app'(cons(), x), xs)) -> app'#(f, x), app'#(sum(), app'(app'(cons(), x), app'(app'(cons(), y), l))) -> app'#(app'(cons(), app'(app'(plus(), x), y)), l))
      (app'#(app'(filter(), f), app'(app'(cons(), x), xs)) -> app'#(f, x), app'#(sum(), app'(app'(cons(), x), app'(app'(cons(), y), l))) -> app'#(plus(), x))
      (app'#(app'(filter(), f), app'(app'(cons(), x), xs)) -> app'#(f, x), app'#(sum(), app'(app'(cons(), x), app'(app'(cons(), y), l))) -> app'#(cons(), app'(app'(plus(), x), y)))
      (app'#(app'(filter(), f), app'(app'(cons(), x), xs)) -> app'#(f, x), app'#(sum(), app'(app'(cons(), x), app'(app'(cons(), y), l))) -> app'#(sum(), app'(app'(cons(), app'(app'(plus(), x), y)), l)))
      (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'(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'#(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'#(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(), false()), f), x), xs) -> app'#(filter(), 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'#(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'(app'(cons(), x), l)), k) -> app'#(app'(app(), l), k), app'#(app'(app(), app'(app'(cons(), x), l)), k) -> app'#(app'(app(), l), k))
      (app'#(app'(app(), app'(app'(cons(), x), l)), k) -> app'#(app'(app(), l), k), app'#(app'(app(), app'(app'(cons(), x), l)), k) -> app'#(app'(cons(), x), app'(app'(app(), l), k)))
      (app'#(app'(app(), app'(app'(cons(), x), l)), k) -> app'#(app'(app(), l), k), app'#(app'(app(), app'(app'(cons(), x), l)), k) -> app'#(app(), l))
      (app'#(sum(), app'(app'(cons(), x), app'(app'(cons(), y), l))) -> app'#(sum(), app'(app'(cons(), app'(app'(plus(), x), y)), l)), app'#(sum(), app'(app'(cons(), x), app'(app'(cons(), y), l))) -> app'#(app'(plus(), x), y))
      (app'#(sum(), app'(app'(cons(), x), app'(app'(cons(), y), l))) -> app'#(sum(), app'(app'(cons(), app'(app'(plus(), x), y)), l)), app'#(sum(), app'(app'(cons(), x), app'(app'(cons(), y), l))) -> app'#(app'(cons(), app'(app'(plus(), x), y)), l))
      (app'#(sum(), app'(app'(cons(), x), app'(app'(cons(), y), l))) -> app'#(sum(), app'(app'(cons(), app'(app'(plus(), x), y)), l)), app'#(sum(), app'(app'(cons(), x), app'(app'(cons(), y), l))) -> app'#(plus(), x))
      (app'#(sum(), app'(app'(cons(), x), app'(app'(cons(), y), l))) -> app'#(sum(), app'(app'(cons(), app'(app'(plus(), x), y)), l)), app'#(sum(), app'(app'(cons(), x), app'(app'(cons(), y), l))) -> app'#(cons(), app'(app'(plus(), x), y)))
      (app'#(sum(), app'(app'(cons(), x), app'(app'(cons(), y), l))) -> app'#(sum(), app'(app'(cons(), app'(app'(plus(), x), y)), l)), app'#(sum(), app'(app'(cons(), x), app'(app'(cons(), y), l))) -> app'#(sum(), app'(app'(cons(), app'(app'(plus(), x), y)), l)))
      (app'#(app'(minus(), app'(app'(minus(), x), y)), z) -> app'#(app'(minus(), x), app'(app'(plus(), y), z)), app'#(app'(minus(), app'(app'(minus(), x), y)), z) -> app'#(app'(minus(), x), app'(app'(plus(), y), z)))
      (app'#(app'(minus(), app'(app'(minus(), x), y)), z) -> app'#(app'(minus(), x), app'(app'(plus(), y), z)), app'#(app'(minus(), app'(app'(minus(), x), y)), z) -> app'#(app'(plus(), y), z))
      (app'#(app'(minus(), app'(app'(minus(), x), y)), z) -> app'#(app'(minus(), x), app'(app'(plus(), y), z)), app'#(app'(minus(), app'(app'(minus(), x), y)), z) -> app'#(plus(), y))
      (app'#(app'(minus(), app'(app'(minus(), x), y)), z) -> app'#(app'(minus(), x), app'(app'(plus(), y), z)), app'#(app'(minus(), app'(s(), x)), app'(s(), y)) -> app'#(app'(minus(), x), y))
      (app'#(app'(minus(), app'(app'(minus(), x), y)), z) -> app'#(app'(minus(), x), app'(app'(plus(), y), z)), app'#(app'(minus(), app'(s(), x)), app'(s(), y)) -> app'#(minus(), x))
      (app'#(sum(), app'(app'(app(), l), app'(app'(cons(), x), app'(app'(cons(), y), k)))) -> app'#(sum(), app'(app'(cons(), x), app'(app'(cons(), y), k))), app'#(sum(), app'(app'(cons(), x), app'(app'(cons(), y), l))) -> app'#(app'(plus(), x), y))
      (app'#(sum(), app'(app'(app(), l), app'(app'(cons(), x), app'(app'(cons(), y), k)))) -> app'#(sum(), app'(app'(cons(), x), app'(app'(cons(), y), k))), app'#(sum(), app'(app'(cons(), x), app'(app'(cons(), y), l))) -> app'#(app'(cons(), app'(app'(plus(), x), y)), l))
      (app'#(sum(), app'(app'(app(), l), app'(app'(cons(), x), app'(app'(cons(), y), k)))) -> app'#(sum(), app'(app'(cons(), x), app'(app'(cons(), y), k))), app'#(sum(), app'(app'(cons(), x), app'(app'(cons(), y), l))) -> app'#(plus(), x))
      (app'#(sum(), app'(app'(app(), l), app'(app'(cons(), x), app'(app'(cons(), y), k)))) -> app'#(sum(), app'(app'(cons(), x), app'(app'(cons(), y), k))), app'#(sum(), app'(app'(cons(), x), app'(app'(cons(), y), l))) -> app'#(cons(), app'(app'(plus(), x), y)))
      (app'#(sum(), app'(app'(app(), l), app'(app'(cons(), x), app'(app'(cons(), y), k)))) -> app'#(sum(), app'(app'(cons(), x), app'(app'(cons(), y), k))), app'#(sum(), app'(app'(cons(), x), app'(app'(cons(), y), l))) -> app'#(sum(), app'(app'(cons(), app'(app'(plus(), x), y)), l)))
      (app'#(sum(), app'(app'(app(), l), app'(app'(cons(), x), app'(app'(cons(), y), k)))) -> app'#(app'(app(), l), app'(sum(), app'(app'(cons(), x), app'(app'(cons(), y), k)))), app'#(app'(app(), app'(app'(cons(), x), l)), k) -> app'#(app'(app(), l), k))
      (app'#(sum(), app'(app'(app(), l), app'(app'(cons(), x), app'(app'(cons(), y), k)))) -> app'#(app'(app(), l), app'(sum(), app'(app'(cons(), x), app'(app'(cons(), y), k)))), app'#(app'(app(), app'(app'(cons(), x), l)), k) -> app'#(app'(cons(), x), app'(app'(app(), l), k)))
      (app'#(sum(), app'(app'(app(), l), app'(app'(cons(), x), app'(app'(cons(), y), k)))) -> app'#(app'(app(), l), app'(sum(), app'(app'(cons(), x), app'(app'(cons(), y), k)))), app'#(app'(app(), app'(app'(cons(), x), l)), k) -> app'#(app(), l))
      (app'#(app'(quot(), app'(s(), x)), app'(s(), y)) -> app'#(app'(minus(), x), y), app'#(app'(minus(), app'(app'(minus(), x), y)), z) -> app'#(app'(minus(), x), app'(app'(plus(), y), z)))
      (app'#(app'(quot(), app'(s(), x)), app'(s(), y)) -> app'#(app'(minus(), x), y), app'#(app'(minus(), app'(app'(minus(), x), y)), z) -> app'#(app'(plus(), y), z))
      (app'#(app'(quot(), app'(s(), x)), app'(s(), y)) -> app'#(app'(minus(), x), y), app'#(app'(minus(), app'(app'(minus(), x), y)), z) -> app'#(plus(), y))
      (app'#(app'(quot(), app'(s(), x)), app'(s(), y)) -> app'#(app'(minus(), x), y), app'#(app'(minus(), app'(s(), x)), app'(s(), y)) -> app'#(app'(minus(), x), y))
      (app'#(app'(quot(), app'(s(), x)), app'(s(), y)) -> app'#(app'(minus(), x), y), app'#(app'(minus(), app'(s(), x)), app'(s(), y)) -> app'#(minus(), x))
      (app'#(app'(minus(), app'(s(), x)), app'(s(), y)) -> app'#(app'(minus(), x), y), app'#(app'(minus(), app'(app'(minus(), x), y)), z) -> app'#(app'(minus(), x), app'(app'(plus(), y), z)))
      (app'#(app'(minus(), app'(s(), x)), app'(s(), y)) -> app'#(app'(minus(), x), y), app'#(app'(minus(), app'(app'(minus(), x), y)), z) -> app'#(app'(plus(), y), z))
      (app'#(app'(minus(), app'(s(), x)), app'(s(), y)) -> app'#(app'(minus(), x), y), app'#(app'(minus(), app'(app'(minus(), x), y)), z) -> app'#(plus(), y))
      (app'#(app'(minus(), app'(s(), x)), app'(s(), y)) -> app'#(app'(minus(), x), y), app'#(app'(minus(), app'(s(), x)), app'(s(), y)) -> app'#(app'(minus(), x), y))
      (app'#(app'(minus(), app'(s(), x)), app'(s(), y)) -> app'#(app'(minus(), x), y), app'#(app'(minus(), app'(s(), x)), app'(s(), y)) -> app'#(minus(), x))
     }
     EDG:
      {
       (app'#(app'(plus(), app'(s(), x)), y) -> app'#(app'(plus(), x), y), app'#(app'(plus(), app'(s(), x)), y) -> app'#(plus(), x))
       (app'#(app'(plus(), app'(s(), x)), y) -> app'#(app'(plus(), x), y), app'#(app'(plus(), app'(s(), x)), y) -> app'#(s(), app'(app'(plus(), x), y)))
       (app'#(app'(plus(), app'(s(), x)), y) -> app'#(app'(plus(), x), y), app'#(app'(plus(), app'(s(), x)), y) -> app'#(app'(plus(), x), y))
       (app'#(sum(), app'(app'(cons(), x), app'(app'(cons(), y), l))) -> app'#(app'(plus(), x), y), app'#(app'(plus(), app'(s(), x)), y) -> app'#(plus(), x))
       (app'#(sum(), app'(app'(cons(), x), app'(app'(cons(), y), l))) -> app'#(app'(plus(), x), y), app'#(app'(plus(), app'(s(), x)), y) -> app'#(s(), app'(app'(plus(), x), y)))
       (app'#(sum(), app'(app'(cons(), x), app'(app'(cons(), y), l))) -> app'#(app'(plus(), x), y), app'#(app'(plus(), app'(s(), x)), y) -> app'#(app'(plus(), x), y))
       (app'#(sum(), app'(app'(app(), l), app'(app'(cons(), x), app'(app'(cons(), y), k)))) -> app'#(sum(), app'(app'(app(), l), app'(sum(), app'(app'(cons(), x), app'(app'(cons(), y), k))))), app'#(sum(), app'(app'(cons(), x), app'(app'(cons(), y), l))) -> app'#(sum(), app'(app'(cons(), app'(app'(plus(), x), y)), l)))
       (app'#(sum(), app'(app'(app(), l), app'(app'(cons(), x), app'(app'(cons(), y), k)))) -> app'#(sum(), app'(app'(app(), l), app'(sum(), app'(app'(cons(), x), app'(app'(cons(), y), k))))), app'#(sum(), app'(app'(cons(), x), app'(app'(cons(), y), l))) -> app'#(cons(), app'(app'(plus(), x), y)))
       (app'#(sum(), app'(app'(app(), l), app'(app'(cons(), x), app'(app'(cons(), y), k)))) -> app'#(sum(), app'(app'(app(), l), app'(sum(), app'(app'(cons(), x), app'(app'(cons(), y), k))))), app'#(sum(), app'(app'(cons(), x), app'(app'(cons(), y), l))) -> app'#(plus(), x))
       (app'#(sum(), app'(app'(app(), l), app'(app'(cons(), x), app'(app'(cons(), y), k)))) -> app'#(sum(), app'(app'(app(), l), app'(sum(), app'(app'(cons(), x), app'(app'(cons(), y), k))))), app'#(sum(), app'(app'(cons(), x), app'(app'(cons(), y), l))) -> app'#(app'(cons(), app'(app'(plus(), x), y)), l))
       (app'#(sum(), app'(app'(app(), l), app'(app'(cons(), x), app'(app'(cons(), y), k)))) -> app'#(sum(), app'(app'(app(), l), app'(sum(), app'(app'(cons(), x), app'(app'(cons(), y), k))))), app'#(sum(), app'(app'(cons(), x), app'(app'(cons(), y), l))) -> app'#(app'(plus(), x), y))
       (app'#(sum(), app'(app'(app(), l), app'(app'(cons(), x), app'(app'(cons(), y), k)))) -> app'#(sum(), app'(app'(app(), l), app'(sum(), app'(app'(cons(), x), app'(app'(cons(), y), k))))), app'#(sum(), app'(app'(app(), l), app'(app'(cons(), x), app'(app'(cons(), y), k)))) -> app'#(sum(), app'(app'(cons(), x), app'(app'(cons(), y), k))))
       (app'#(sum(), app'(app'(app(), l), app'(app'(cons(), x), app'(app'(cons(), y), k)))) -> app'#(sum(), app'(app'(app(), l), app'(sum(), app'(app'(cons(), x), app'(app'(cons(), y), k))))), app'#(sum(), app'(app'(app(), l), app'(app'(cons(), x), app'(app'(cons(), y), k)))) -> app'#(sum(), app'(app'(app(), l), app'(sum(), app'(app'(cons(), x), app'(app'(cons(), y), k))))))
       (app'#(sum(), app'(app'(app(), l), app'(app'(cons(), x), app'(app'(cons(), y), k)))) -> app'#(sum(), app'(app'(app(), l), app'(sum(), app'(app'(cons(), x), app'(app'(cons(), y), k))))), app'#(sum(), app'(app'(app(), l), app'(app'(cons(), x), app'(app'(cons(), y), k)))) -> app'#(app'(app(), l), app'(sum(), app'(app'(cons(), x), app'(app'(cons(), y), k)))))
       (app'#(app'(minus(), app'(app'(minus(), x), y)), z) -> app'#(app'(plus(), y), z), app'#(app'(plus(), app'(s(), x)), y) -> app'#(plus(), x))
       (app'#(app'(minus(), app'(app'(minus(), x), y)), z) -> app'#(app'(plus(), y), z), app'#(app'(plus(), app'(s(), x)), y) -> app'#(s(), app'(app'(plus(), x), y)))
       (app'#(app'(minus(), app'(app'(minus(), x), y)), z) -> app'#(app'(plus(), y), z), app'#(app'(plus(), app'(s(), x)), y) -> app'#(app'(plus(), x), y))
       (app'#(app'(quot(), app'(s(), x)), app'(s(), y)) -> app'#(app'(quot(), app'(app'(minus(), x), y)), app'(s(), y)), app'#(app'(quot(), app'(s(), x)), app'(s(), y)) -> app'#(quot(), app'(app'(minus(), x), y)))
       (app'#(app'(quot(), app'(s(), x)), app'(s(), y)) -> app'#(app'(quot(), app'(app'(minus(), x), y)), app'(s(), y)), app'#(app'(quot(), app'(s(), x)), app'(s(), y)) -> app'#(s(), app'(app'(quot(), app'(app'(minus(), x), y)), app'(s(), y))))
       (app'#(app'(quot(), app'(s(), x)), app'(s(), y)) -> app'#(app'(quot(), app'(app'(minus(), x), y)), app'(s(), y)), app'#(app'(quot(), app'(s(), x)), app'(s(), y)) -> app'#(minus(), x))
       (app'#(app'(quot(), app'(s(), x)), app'(s(), y)) -> app'#(app'(quot(), app'(app'(minus(), x), y)), app'(s(), y)), app'#(app'(quot(), app'(s(), x)), app'(s(), y)) -> app'#(app'(quot(), app'(app'(minus(), x), y)), app'(s(), y)))
       (app'#(app'(quot(), app'(s(), x)), app'(s(), y)) -> app'#(app'(quot(), app'(app'(minus(), x), y)), app'(s(), y)), app'#(app'(quot(), app'(s(), x)), app'(s(), y)) -> app'#(app'(minus(), x), y))
       (app'#(app'(app'(app'(filter2(), true()), f), x), xs) -> app'#(app'(filter(), f), xs), app'#(app'(filter(), f), app'(app'(cons(), x), xs)) -> app'#(filter2(), app'(f, x)))
       (app'#(app'(app'(app'(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'#(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'(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'#(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'#(cons(), app'(f, x)))
       (app'#(app'(map(), f), app'(app'(cons(), x), xs)) -> app'#(app'(map(), f), xs), app'#(app'(map(), f), app'(app'(cons(), x), xs)) -> app'#(app'(map(), f), xs))
       (app'#(app'(map(), f), app'(app'(cons(), x), xs)) -> app'#(app'(map(), f), xs), app'#(app'(map(), f), app'(app'(cons(), x), xs)) -> app'#(app'(cons(), app'(f, x)), app'(app'(map(), f), xs)))
       (app'#(app'(map(), f), app'(app'(cons(), x), xs)) -> app'#(app'(map(), f), xs), app'#(app'(map(), f), app'(app'(cons(), x), xs)) -> app'#(f, x))
       (app'#(app'(map(), f), app'(app'(cons(), x), xs)) -> app'#(f, x), app'#(sum(), app'(app'(cons(), x), app'(app'(cons(), y), l))) -> app'#(sum(), app'(app'(cons(), app'(app'(plus(), x), y)), l)))
       (app'#(app'(map(), f), app'(app'(cons(), x), xs)) -> app'#(f, x), app'#(sum(), app'(app'(cons(), x), app'(app'(cons(), y), l))) -> app'#(cons(), app'(app'(plus(), x), y)))
       (app'#(app'(map(), f), app'(app'(cons(), x), xs)) -> app'#(f, x), app'#(sum(), app'(app'(cons(), x), app'(app'(cons(), y), l))) -> app'#(plus(), x))
       (app'#(app'(map(), f), app'(app'(cons(), x), xs)) -> app'#(f, x), app'#(sum(), app'(app'(cons(), x), app'(app'(cons(), y), l))) -> app'#(app'(cons(), app'(app'(plus(), x), y)), l))
       (app'#(app'(map(), f), app'(app'(cons(), x), xs)) -> app'#(f, x), app'#(sum(), app'(app'(cons(), x), app'(app'(cons(), y), l))) -> app'#(app'(plus(), x), y))
       (app'#(app'(map(), f), app'(app'(cons(), x), xs)) -> app'#(f, x), app'#(sum(), app'(app'(app(), l), app'(app'(cons(), x), app'(app'(cons(), y), k)))) -> app'#(sum(), app'(app'(cons(), x), app'(app'(cons(), y), k))))
       (app'#(app'(map(), f), app'(app'(cons(), x), xs)) -> app'#(f, x), app'#(sum(), app'(app'(app(), l), app'(app'(cons(), x), app'(app'(cons(), y), k)))) -> app'#(sum(), app'(app'(app(), l), app'(sum(), app'(app'(cons(), x), app'(app'(cons(), y), k))))))
       (app'#(app'(map(), f), app'(app'(cons(), x), xs)) -> app'#(f, x), app'#(sum(), app'(app'(app(), l), app'(app'(cons(), x), app'(app'(cons(), y), k)))) -> app'#(app'(app(), l), app'(sum(), app'(app'(cons(), x), app'(app'(cons(), y), k)))))
       (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'(app(), app'(app'(cons(), x), l)), k) -> app'#(app(), l))
       (app'#(app'(map(), f), app'(app'(cons(), x), xs)) -> app'#(f, x), app'#(app'(app(), app'(app'(cons(), x), l)), k) -> app'#(app'(cons(), x), app'(app'(app(), l), k)))
       (app'#(app'(map(), f), app'(app'(cons(), x), xs)) -> app'#(f, x), app'#(app'(app(), app'(app'(cons(), x), l)), k) -> app'#(app'(app(), l), k))
       (app'#(app'(map(), f), app'(app'(cons(), x), xs)) -> app'#(f, x), app'#(app'(quot(), app'(s(), x)), app'(s(), y)) -> app'#(quot(), app'(app'(minus(), x), y)))
       (app'#(app'(map(), f), app'(app'(cons(), x), xs)) -> app'#(f, x), app'#(app'(quot(), app'(s(), x)), app'(s(), y)) -> app'#(s(), app'(app'(quot(), app'(app'(minus(), x), y)), app'(s(), y))))
       (app'#(app'(map(), f), app'(app'(cons(), x), xs)) -> app'#(f, x), app'#(app'(quot(), app'(s(), x)), app'(s(), y)) -> app'#(minus(), x))
       (app'#(app'(map(), f), app'(app'(cons(), x), xs)) -> app'#(f, x), app'#(app'(quot(), app'(s(), x)), app'(s(), y)) -> app'#(app'(quot(), app'(app'(minus(), x), y)), app'(s(), y)))
       (app'#(app'(map(), f), app'(app'(cons(), x), xs)) -> app'#(f, x), app'#(app'(quot(), app'(s(), x)), app'(s(), y)) -> app'#(app'(minus(), x), y))
       (app'#(app'(map(), f), app'(app'(cons(), x), xs)) -> app'#(f, x), app'#(app'(plus(), app'(s(), x)), y) -> app'#(plus(), x))
       (app'#(app'(map(), f), app'(app'(cons(), x), xs)) -> app'#(f, x), app'#(app'(plus(), app'(s(), x)), y) -> app'#(s(), app'(app'(plus(), x), y)))
       (app'#(app'(map(), f), app'(app'(cons(), x), xs)) -> app'#(f, x), app'#(app'(plus(), app'(s(), x)), y) -> app'#(app'(plus(), x), y))
       (app'#(app'(map(), f), app'(app'(cons(), x), xs)) -> app'#(f, x), app'#(app'(minus(), app'(s(), x)), app'(s(), y)) -> app'#(minus(), x))
       (app'#(app'(map(), f), app'(app'(cons(), x), xs)) -> app'#(f, x), app'#(app'(minus(), app'(s(), x)), app'(s(), y)) -> app'#(app'(minus(), x), y))
       (app'#(app'(map(), f), app'(app'(cons(), x), xs)) -> app'#(f, x), app'#(app'(minus(), app'(app'(minus(), x), y)), z) -> app'#(plus(), y))
       (app'#(app'(map(), f), app'(app'(cons(), x), xs)) -> app'#(f, x), app'#(app'(minus(), app'(app'(minus(), x), y)), z) -> app'#(app'(plus(), y), z))
       (app'#(app'(map(), f), app'(app'(cons(), x), xs)) -> app'#(f, x), app'#(app'(minus(), app'(app'(minus(), x), y)), z) -> app'#(app'(minus(), x), app'(app'(plus(), y), z)))
       (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'(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'(minus(), app'(app'(minus(), x), y)), z) -> app'#(app'(minus(), x), app'(app'(plus(), y), z)))
       (app'#(app'(filter(), f), app'(app'(cons(), x), xs)) -> app'#(f, x), app'#(app'(minus(), app'(app'(minus(), x), y)), z) -> app'#(app'(plus(), y), z))
       (app'#(app'(filter(), f), app'(app'(cons(), x), xs)) -> app'#(f, x), app'#(app'(minus(), app'(app'(minus(), x), y)), z) -> app'#(plus(), y))
       (app'#(app'(filter(), f), app'(app'(cons(), x), xs)) -> app'#(f, x), app'#(app'(minus(), app'(s(), x)), app'(s(), y)) -> app'#(app'(minus(), x), y))
       (app'#(app'(filter(), f), app'(app'(cons(), x), xs)) -> app'#(f, x), app'#(app'(minus(), app'(s(), x)), app'(s(), y)) -> app'#(minus(), x))
       (app'#(app'(filter(), f), app'(app'(cons(), x), xs)) -> app'#(f, x), app'#(app'(plus(), app'(s(), x)), y) -> app'#(app'(plus(), x), y))
       (app'#(app'(filter(), f), app'(app'(cons(), x), xs)) -> app'#(f, x), app'#(app'(plus(), app'(s(), x)), y) -> app'#(s(), app'(app'(plus(), x), y)))
       (app'#(app'(filter(), f), app'(app'(cons(), x), xs)) -> app'#(f, x), app'#(app'(plus(), app'(s(), x)), y) -> app'#(plus(), x))
       (app'#(app'(filter(), f), app'(app'(cons(), x), xs)) -> app'#(f, x), app'#(app'(quot(), app'(s(), x)), app'(s(), y)) -> app'#(app'(minus(), x), y))
       (app'#(app'(filter(), f), app'(app'(cons(), x), xs)) -> app'#(f, x), app'#(app'(quot(), app'(s(), x)), app'(s(), y)) -> app'#(app'(quot(), app'(app'(minus(), x), y)), app'(s(), y)))
       (app'#(app'(filter(), f), app'(app'(cons(), x), xs)) -> app'#(f, x), app'#(app'(quot(), app'(s(), x)), app'(s(), y)) -> app'#(minus(), x))
       (app'#(app'(filter(), f), app'(app'(cons(), x), xs)) -> app'#(f, x), app'#(app'(quot(), app'(s(), x)), app'(s(), y)) -> app'#(s(), app'(app'(quot(), app'(app'(minus(), x), y)), app'(s(), y))))
       (app'#(app'(filter(), f), app'(app'(cons(), x), xs)) -> app'#(f, x), app'#(app'(quot(), app'(s(), x)), app'(s(), y)) -> app'#(quot(), app'(app'(minus(), x), y)))
       (app'#(app'(filter(), f), app'(app'(cons(), x), xs)) -> app'#(f, x), app'#(app'(app(), app'(app'(cons(), x), l)), k) -> app'#(app'(app(), l), k))
       (app'#(app'(filter(), f), app'(app'(cons(), x), xs)) -> app'#(f, x), app'#(app'(app(), app'(app'(cons(), x), l)), k) -> app'#(app'(cons(), x), app'(app'(app(), l), k)))
       (app'#(app'(filter(), f), app'(app'(cons(), x), xs)) -> app'#(f, x), app'#(app'(app(), app'(app'(cons(), x), l)), k) -> app'#(app(), l))
       (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'#(sum(), app'(app'(app(), l), app'(app'(cons(), x), app'(app'(cons(), y), k)))) -> app'#(app'(app(), l), app'(sum(), app'(app'(cons(), x), app'(app'(cons(), y), k)))))
       (app'#(app'(filter(), f), app'(app'(cons(), x), xs)) -> app'#(f, x), app'#(sum(), app'(app'(app(), l), app'(app'(cons(), x), app'(app'(cons(), y), k)))) -> app'#(sum(), app'(app'(app(), l), app'(sum(), app'(app'(cons(), x), app'(app'(cons(), y), k))))))
       (app'#(app'(filter(), f), app'(app'(cons(), x), xs)) -> app'#(f, x), app'#(sum(), app'(app'(app(), l), app'(app'(cons(), x), app'(app'(cons(), y), k)))) -> app'#(sum(), app'(app'(cons(), x), app'(app'(cons(), y), k))))
       (app'#(app'(filter(), f), app'(app'(cons(), x), xs)) -> app'#(f, x), app'#(sum(), app'(app'(cons(), x), app'(app'(cons(), y), l))) -> app'#(app'(plus(), x), y))
       (app'#(app'(filter(), f), app'(app'(cons(), x), xs)) -> app'#(f, x), app'#(sum(), app'(app'(cons(), x), app'(app'(cons(), y), l))) -> app'#(app'(cons(), app'(app'(plus(), x), y)), l))
       (app'#(app'(filter(), f), app'(app'(cons(), x), xs)) -> app'#(f, x), app'#(sum(), app'(app'(cons(), x), app'(app'(cons(), y), l))) -> app'#(plus(), x))
       (app'#(app'(filter(), f), app'(app'(cons(), x), xs)) -> app'#(f, x), app'#(sum(), app'(app'(cons(), x), app'(app'(cons(), y), l))) -> app'#(cons(), app'(app'(plus(), x), y)))
       (app'#(app'(filter(), f), app'(app'(cons(), x), xs)) -> app'#(f, x), app'#(sum(), app'(app'(cons(), x), app'(app'(cons(), y), l))) -> app'#(sum(), app'(app'(cons(), app'(app'(plus(), x), y)), l)))
       (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'(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'#(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'#(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(), false()), f), x), xs) -> app'#(filter(), 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'#(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'(app'(cons(), x), l)), k) -> app'#(app'(app(), l), k), app'#(app'(app(), app'(app'(cons(), x), l)), k) -> app'#(app'(app(), l), k))
       (app'#(app'(app(), app'(app'(cons(), x), l)), k) -> app'#(app'(app(), l), k), app'#(app'(app(), app'(app'(cons(), x), l)), k) -> app'#(app'(cons(), x), app'(app'(app(), l), k)))
       (app'#(app'(app(), app'(app'(cons(), x), l)), k) -> app'#(app'(app(), l), k), app'#(app'(app(), app'(app'(cons(), x), l)), k) -> app'#(app(), l))
       (app'#(sum(), app'(app'(cons(), x), app'(app'(cons(), y), l))) -> app'#(sum(), app'(app'(cons(), app'(app'(plus(), x), y)), l)), app'#(sum(), app'(app'(cons(), x), app'(app'(cons(), y), l))) -> app'#(app'(plus(), x), y))
       (app'#(sum(), app'(app'(cons(), x), app'(app'(cons(), y), l))) -> app'#(sum(), app'(app'(cons(), app'(app'(plus(), x), y)), l)), app'#(sum(), app'(app'(cons(), x), app'(app'(cons(), y), l))) -> app'#(app'(cons(), app'(app'(plus(), x), y)), l))
       (app'#(sum(), app'(app'(cons(), x), app'(app'(cons(), y), l))) -> app'#(sum(), app'(app'(cons(), app'(app'(plus(), x), y)), l)), app'#(sum(), app'(app'(cons(), x), app'(app'(cons(), y), l))) -> app'#(plus(), x))
       (app'#(sum(), app'(app'(cons(), x), app'(app'(cons(), y), l))) -> app'#(sum(), app'(app'(cons(), app'(app'(plus(), x), y)), l)), app'#(sum(), app'(app'(cons(), x), app'(app'(cons(), y), l))) -> app'#(cons(), app'(app'(plus(), x), y)))
       (app'#(sum(), app'(app'(cons(), x), app'(app'(cons(), y), l))) -> app'#(sum(), app'(app'(cons(), app'(app'(plus(), x), y)), l)), app'#(sum(), app'(app'(cons(), x), app'(app'(cons(), y), l))) -> app'#(sum(), app'(app'(cons(), app'(app'(plus(), x), y)), l)))
       (app'#(app'(minus(), app'(app'(minus(), x), y)), z) -> app'#(app'(minus(), x), app'(app'(plus(), y), z)), app'#(app'(minus(), app'(app'(minus(), x), y)), z) -> app'#(app'(minus(), x), app'(app'(plus(), y), z)))
       (app'#(app'(minus(), app'(app'(minus(), x), y)), z) -> app'#(app'(minus(), x), app'(app'(plus(), y), z)), app'#(app'(minus(), app'(app'(minus(), x), y)), z) -> app'#(app'(plus(), y), z))
       (app'#(app'(minus(), app'(app'(minus(), x), y)), z) -> app'#(app'(minus(), x), app'(app'(plus(), y), z)), app'#(app'(minus(), app'(app'(minus(), x), y)), z) -> app'#(plus(), y))
       (app'#(app'(minus(), app'(app'(minus(), x), y)), z) -> app'#(app'(minus(), x), app'(app'(plus(), y), z)), app'#(app'(minus(), app'(s(), x)), app'(s(), y)) -> app'#(app'(minus(), x), y))
       (app'#(app'(minus(), app'(app'(minus(), x), y)), z) -> app'#(app'(minus(), x), app'(app'(plus(), y), z)), app'#(app'(minus(), app'(s(), x)), app'(s(), y)) -> app'#(minus(), x))
       (app'#(sum(), app'(app'(app(), l), app'(app'(cons(), x), app'(app'(cons(), y), k)))) -> app'#(sum(), app'(app'(cons(), x), app'(app'(cons(), y), k))), app'#(sum(), app'(app'(cons(), x), app'(app'(cons(), y), l))) -> app'#(app'(plus(), x), y))
       (app'#(sum(), app'(app'(app(), l), app'(app'(cons(), x), app'(app'(cons(), y), k)))) -> app'#(sum(), app'(app'(cons(), x), app'(app'(cons(), y), k))), app'#(sum(), app'(app'(cons(), x), app'(app'(cons(), y), l))) -> app'#(app'(cons(), app'(app'(plus(), x), y)), l))
       (app'#(sum(), app'(app'(app(), l), app'(app'(cons(), x), app'(app'(cons(), y), k)))) -> app'#(sum(), app'(app'(cons(), x), app'(app'(cons(), y), k))), app'#(sum(), app'(app'(cons(), x), app'(app'(cons(), y), l))) -> app'#(plus(), x))
       (app'#(sum(), app'(app'(app(), l), app'(app'(cons(), x), app'(app'(cons(), y), k)))) -> app'#(sum(), app'(app'(cons(), x), app'(app'(cons(), y), k))), app'#(sum(), app'(app'(cons(), x), app'(app'(cons(), y), l))) -> app'#(cons(), app'(app'(plus(), x), y)))
       (app'#(sum(), app'(app'(app(), l), app'(app'(cons(), x), app'(app'(cons(), y), k)))) -> app'#(sum(), app'(app'(cons(), x), app'(app'(cons(), y), k))), app'#(sum(), app'(app'(cons(), x), app'(app'(cons(), y), l))) -> app'#(sum(), app'(app'(cons(), app'(app'(plus(), x), y)), l)))
       (app'#(sum(), app'(app'(app(), l), app'(app'(cons(), x), app'(app'(cons(), y), k)))) -> app'#(app'(app(), l), app'(sum(), app'(app'(cons(), x), app'(app'(cons(), y), k)))), app'#(app'(app(), app'(app'(cons(), x), l)), k) -> app'#(app'(app(), l), k))
       (app'#(sum(), app'(app'(app(), l), app'(app'(cons(), x), app'(app'(cons(), y), k)))) -> app'#(app'(app(), l), app'(sum(), app'(app'(cons(), x), app'(app'(cons(), y), k)))), app'#(app'(app(), app'(app'(cons(), x), l)), k) -> app'#(app'(cons(), x), app'(app'(app(), l), k)))
       (app'#(sum(), app'(app'(app(), l), app'(app'(cons(), x), app'(app'(cons(), y), k)))) -> app'#(app'(app(), l), app'(sum(), app'(app'(cons(), x), app'(app'(cons(), y), k)))), app'#(app'(app(), app'(app'(cons(), x), l)), k) -> app'#(app(), l))
       (app'#(app'(quot(), app'(s(), x)), app'(s(), y)) -> app'#(app'(minus(), x), y), app'#(app'(minus(), app'(app'(minus(), x), y)), z) -> app'#(app'(minus(), x), app'(app'(plus(), y), z)))
       (app'#(app'(quot(), app'(s(), x)), app'(s(), y)) -> app'#(app'(minus(), x), y), app'#(app'(minus(), app'(app'(minus(), x), y)), z) -> app'#(app'(plus(), y), z))
       (app'#(app'(quot(), app'(s(), x)), app'(s(), y)) -> app'#(app'(minus(), x), y), app'#(app'(minus(), app'(app'(minus(), x), y)), z) -> app'#(plus(), y))
       (app'#(app'(quot(), app'(s(), x)), app'(s(), y)) -> app'#(app'(minus(), x), y), app'#(app'(minus(), app'(s(), x)), app'(s(), y)) -> app'#(app'(minus(), x), y))
       (app'#(app'(quot(), app'(s(), x)), app'(s(), y)) -> app'#(app'(minus(), x), y), app'#(app'(minus(), app'(s(), x)), app'(s(), y)) -> app'#(minus(), x))
       (app'#(app'(minus(), app'(s(), x)), app'(s(), y)) -> app'#(app'(minus(), x), y), app'#(app'(minus(), app'(app'(minus(), x), y)), z) -> app'#(app'(minus(), x), app'(app'(plus(), y), z)))
       (app'#(app'(minus(), app'(s(), x)), app'(s(), y)) -> app'#(app'(minus(), x), y), app'#(app'(minus(), app'(app'(minus(), x), y)), z) -> app'#(app'(plus(), y), z))
       (app'#(app'(minus(), app'(s(), x)), app'(s(), y)) -> app'#(app'(minus(), x), y), app'#(app'(minus(), app'(app'(minus(), x), y)), z) -> app'#(plus(), y))
       (app'#(app'(minus(), app'(s(), x)), app'(s(), y)) -> app'#(app'(minus(), x), y), app'#(app'(minus(), app'(s(), x)), app'(s(), y)) -> app'#(app'(minus(), x), y))
       (app'#(app'(minus(), app'(s(), x)), app'(s(), y)) -> app'#(app'(minus(), x), y), app'#(app'(minus(), app'(s(), x)), app'(s(), y)) -> app'#(minus(), x))
      }
      EDG:
       {
        (app'#(app'(plus(), app'(s(), x)), y) -> app'#(app'(plus(), x), y), app'#(app'(plus(), app'(s(), x)), y) -> app'#(plus(), x))
        (app'#(app'(plus(), app'(s(), x)), y) -> app'#(app'(plus(), x), y), app'#(app'(plus(), app'(s(), x)), y) -> app'#(s(), app'(app'(plus(), x), y)))
        (app'#(app'(plus(), app'(s(), x)), y) -> app'#(app'(plus(), x), y), app'#(app'(plus(), app'(s(), x)), y) -> app'#(app'(plus(), x), y))
        (app'#(sum(), app'(app'(cons(), x), app'(app'(cons(), y), l))) -> app'#(app'(plus(), x), y), app'#(app'(plus(), app'(s(), x)), y) -> app'#(plus(), x))
        (app'#(sum(), app'(app'(cons(), x), app'(app'(cons(), y), l))) -> app'#(app'(plus(), x), y), app'#(app'(plus(), app'(s(), x)), y) -> app'#(s(), app'(app'(plus(), x), y)))
        (app'#(sum(), app'(app'(cons(), x), app'(app'(cons(), y), l))) -> app'#(app'(plus(), x), y), app'#(app'(plus(), app'(s(), x)), y) -> app'#(app'(plus(), x), y))
        (app'#(sum(), app'(app'(app(), l), app'(app'(cons(), x), app'(app'(cons(), y), k)))) -> app'#(sum(), app'(app'(app(), l), app'(sum(), app'(app'(cons(), x), app'(app'(cons(), y), k))))), app'#(sum(), app'(app'(cons(), x), app'(app'(cons(), y), l))) -> app'#(sum(), app'(app'(cons(), app'(app'(plus(), x), y)), l)))
        (app'#(sum(), app'(app'(app(), l), app'(app'(cons(), x), app'(app'(cons(), y), k)))) -> app'#(sum(), app'(app'(app(), l), app'(sum(), app'(app'(cons(), x), app'(app'(cons(), y), k))))), app'#(sum(), app'(app'(cons(), x), app'(app'(cons(), y), l))) -> app'#(cons(), app'(app'(plus(), x), y)))
        (app'#(sum(), app'(app'(app(), l), app'(app'(cons(), x), app'(app'(cons(), y), k)))) -> app'#(sum(), app'(app'(app(), l), app'(sum(), app'(app'(cons(), x), app'(app'(cons(), y), k))))), app'#(sum(), app'(app'(cons(), x), app'(app'(cons(), y), l))) -> app'#(plus(), x))
        (app'#(sum(), app'(app'(app(), l), app'(app'(cons(), x), app'(app'(cons(), y), k)))) -> app'#(sum(), app'(app'(app(), l), app'(sum(), app'(app'(cons(), x), app'(app'(cons(), y), k))))), app'#(sum(), app'(app'(cons(), x), app'(app'(cons(), y), l))) -> app'#(app'(cons(), app'(app'(plus(), x), y)), l))
        (app'#(sum(), app'(app'(app(), l), app'(app'(cons(), x), app'(app'(cons(), y), k)))) -> app'#(sum(), app'(app'(app(), l), app'(sum(), app'(app'(cons(), x), app'(app'(cons(), y), k))))), app'#(sum(), app'(app'(cons(), x), app'(app'(cons(), y), l))) -> app'#(app'(plus(), x), y))
        (app'#(sum(), app'(app'(app(), l), app'(app'(cons(), x), app'(app'(cons(), y), k)))) -> app'#(sum(), app'(app'(app(), l), app'(sum(), app'(app'(cons(), x), app'(app'(cons(), y), k))))), app'#(sum(), app'(app'(app(), l), app'(app'(cons(), x), app'(app'(cons(), y), k)))) -> app'#(sum(), app'(app'(cons(), x), app'(app'(cons(), y), k))))
        (app'#(sum(), app'(app'(app(), l), app'(app'(cons(), x), app'(app'(cons(), y), k)))) -> app'#(sum(), app'(app'(app(), l), app'(sum(), app'(app'(cons(), x), app'(app'(cons(), y), k))))), app'#(sum(), app'(app'(app(), l), app'(app'(cons(), x), app'(app'(cons(), y), k)))) -> app'#(sum(), app'(app'(app(), l), app'(sum(), app'(app'(cons(), x), app'(app'(cons(), y), k))))))
        (app'#(sum(), app'(app'(app(), l), app'(app'(cons(), x), app'(app'(cons(), y), k)))) -> app'#(sum(), app'(app'(app(), l), app'(sum(), app'(app'(cons(), x), app'(app'(cons(), y), k))))), app'#(sum(), app'(app'(app(), l), app'(app'(cons(), x), app'(app'(cons(), y), k)))) -> app'#(app'(app(), l), app'(sum(), app'(app'(cons(), x), app'(app'(cons(), y), k)))))
        (app'#(app'(minus(), app'(app'(minus(), x), y)), z) -> app'#(app'(plus(), y), z), app'#(app'(plus(), app'(s(), x)), y) -> app'#(plus(), x))
        (app'#(app'(minus(), app'(app'(minus(), x), y)), z) -> app'#(app'(plus(), y), z), app'#(app'(plus(), app'(s(), x)), y) -> app'#(s(), app'(app'(plus(), x), y)))
        (app'#(app'(minus(), app'(app'(minus(), x), y)), z) -> app'#(app'(plus(), y), z), app'#(app'(plus(), app'(s(), x)), y) -> app'#(app'(plus(), x), y))
        (app'#(app'(quot(), app'(s(), x)), app'(s(), y)) -> app'#(app'(quot(), app'(app'(minus(), x), y)), app'(s(), y)), app'#(app'(quot(), app'(s(), x)), app'(s(), y)) -> app'#(quot(), app'(app'(minus(), x), y)))
        (app'#(app'(quot(), app'(s(), x)), app'(s(), y)) -> app'#(app'(quot(), app'(app'(minus(), x), y)), app'(s(), y)), app'#(app'(quot(), app'(s(), x)), app'(s(), y)) -> app'#(s(), app'(app'(quot(), app'(app'(minus(), x), y)), app'(s(), y))))
        (app'#(app'(quot(), app'(s(), x)), app'(s(), y)) -> app'#(app'(quot(), app'(app'(minus(), x), y)), app'(s(), y)), app'#(app'(quot(), app'(s(), x)), app'(s(), y)) -> app'#(minus(), x))
        (app'#(app'(quot(), app'(s(), x)), app'(s(), y)) -> app'#(app'(quot(), app'(app'(minus(), x), y)), app'(s(), y)), app'#(app'(quot(), app'(s(), x)), app'(s(), y)) -> app'#(app'(quot(), app'(app'(minus(), x), y)), app'(s(), y)))
        (app'#(app'(quot(), app'(s(), x)), app'(s(), y)) -> app'#(app'(quot(), app'(app'(minus(), x), y)), app'(s(), y)), app'#(app'(quot(), app'(s(), x)), app'(s(), y)) -> app'#(app'(minus(), x), y))
        (app'#(app'(app'(app'(filter2(), true()), f), x), xs) -> app'#(app'(filter(), f), xs), app'#(app'(filter(), f), app'(app'(cons(), x), xs)) -> app'#(filter2(), app'(f, x)))
        (app'#(app'(app'(app'(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'#(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'(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'#(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'#(cons(), app'(f, x)))
        (app'#(app'(map(), f), app'(app'(cons(), x), xs)) -> app'#(app'(map(), f), xs), app'#(app'(map(), f), app'(app'(cons(), x), xs)) -> app'#(app'(map(), f), xs))
        (app'#(app'(map(), f), app'(app'(cons(), x), xs)) -> app'#(app'(map(), f), xs), app'#(app'(map(), f), app'(app'(cons(), x), xs)) -> app'#(app'(cons(), app'(f, x)), app'(app'(map(), f), xs)))
        (app'#(app'(map(), f), app'(app'(cons(), x), xs)) -> app'#(app'(map(), f), xs), app'#(app'(map(), f), app'(app'(cons(), x), xs)) -> app'#(f, x))
        (app'#(app'(map(), f), app'(app'(cons(), x), xs)) -> app'#(f, x), app'#(sum(), app'(app'(cons(), x), app'(app'(cons(), y), l))) -> app'#(sum(), app'(app'(cons(), app'(app'(plus(), x), y)), l)))
        (app'#(app'(map(), f), app'(app'(cons(), x), xs)) -> app'#(f, x), app'#(sum(), app'(app'(cons(), x), app'(app'(cons(), y), l))) -> app'#(cons(), app'(app'(plus(), x), y)))
        (app'#(app'(map(), f), app'(app'(cons(), x), xs)) -> app'#(f, x), app'#(sum(), app'(app'(cons(), x), app'(app'(cons(), y), l))) -> app'#(plus(), x))
        (app'#(app'(map(), f), app'(app'(cons(), x), xs)) -> app'#(f, x), app'#(sum(), app'(app'(cons(), x), app'(app'(cons(), y), l))) -> app'#(app'(cons(), app'(app'(plus(), x), y)), l))
        (app'#(app'(map(), f), app'(app'(cons(), x), xs)) -> app'#(f, x), app'#(sum(), app'(app'(cons(), x), app'(app'(cons(), y), l))) -> app'#(app'(plus(), x), y))
        (app'#(app'(map(), f), app'(app'(cons(), x), xs)) -> app'#(f, x), app'#(sum(), app'(app'(app(), l), app'(app'(cons(), x), app'(app'(cons(), y), k)))) -> app'#(sum(), app'(app'(cons(), x), app'(app'(cons(), y), k))))
        (app'#(app'(map(), f), app'(app'(cons(), x), xs)) -> app'#(f, x), app'#(sum(), app'(app'(app(), l), app'(app'(cons(), x), app'(app'(cons(), y), k)))) -> app'#(sum(), app'(app'(app(), l), app'(sum(), app'(app'(cons(), x), app'(app'(cons(), y), k))))))
        (app'#(app'(map(), f), app'(app'(cons(), x), xs)) -> app'#(f, x), app'#(sum(), app'(app'(app(), l), app'(app'(cons(), x), app'(app'(cons(), y), k)))) -> app'#(app'(app(), l), app'(sum(), app'(app'(cons(), x), app'(app'(cons(), y), k)))))
        (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'(app(), app'(app'(cons(), x), l)), k) -> app'#(app(), l))
        (app'#(app'(map(), f), app'(app'(cons(), x), xs)) -> app'#(f, x), app'#(app'(app(), app'(app'(cons(), x), l)), k) -> app'#(app'(cons(), x), app'(app'(app(), l), k)))
        (app'#(app'(map(), f), app'(app'(cons(), x), xs)) -> app'#(f, x), app'#(app'(app(), app'(app'(cons(), x), l)), k) -> app'#(app'(app(), l), k))
        (app'#(app'(map(), f), app'(app'(cons(), x), xs)) -> app'#(f, x), app'#(app'(quot(), app'(s(), x)), app'(s(), y)) -> app'#(quot(), app'(app'(minus(), x), y)))
        (app'#(app'(map(), f), app'(app'(cons(), x), xs)) -> app'#(f, x), app'#(app'(quot(), app'(s(), x)), app'(s(), y)) -> app'#(s(), app'(app'(quot(), app'(app'(minus(), x), y)), app'(s(), y))))
        (app'#(app'(map(), f), app'(app'(cons(), x), xs)) -> app'#(f, x), app'#(app'(quot(), app'(s(), x)), app'(s(), y)) -> app'#(minus(), x))
        (app'#(app'(map(), f), app'(app'(cons(), x), xs)) -> app'#(f, x), app'#(app'(quot(), app'(s(), x)), app'(s(), y)) -> app'#(app'(quot(), app'(app'(minus(), x), y)), app'(s(), y)))
        (app'#(app'(map(), f), app'(app'(cons(), x), xs)) -> app'#(f, x), app'#(app'(quot(), app'(s(), x)), app'(s(), y)) -> app'#(app'(minus(), x), y))
        (app'#(app'(map(), f), app'(app'(cons(), x), xs)) -> app'#(f, x), app'#(app'(plus(), app'(s(), x)), y) -> app'#(plus(), x))
        (app'#(app'(map(), f), app'(app'(cons(), x), xs)) -> app'#(f, x), app'#(app'(plus(), app'(s(), x)), y) -> app'#(s(), app'(app'(plus(), x), y)))
        (app'#(app'(map(), f), app'(app'(cons(), x), xs)) -> app'#(f, x), app'#(app'(plus(), app'(s(), x)), y) -> app'#(app'(plus(), x), y))
        (app'#(app'(map(), f), app'(app'(cons(), x), xs)) -> app'#(f, x), app'#(app'(minus(), app'(s(), x)), app'(s(), y)) -> app'#(minus(), x))
        (app'#(app'(map(), f), app'(app'(cons(), x), xs)) -> app'#(f, x), app'#(app'(minus(), app'(s(), x)), app'(s(), y)) -> app'#(app'(minus(), x), y))
        (app'#(app'(map(), f), app'(app'(cons(), x), xs)) -> app'#(f, x), app'#(app'(minus(), app'(app'(minus(), x), y)), z) -> app'#(plus(), y))
        (app'#(app'(map(), f), app'(app'(cons(), x), xs)) -> app'#(f, x), app'#(app'(minus(), app'(app'(minus(), x), y)), z) -> app'#(app'(plus(), y), z))
        (app'#(app'(map(), f), app'(app'(cons(), x), xs)) -> app'#(f, x), app'#(app'(minus(), app'(app'(minus(), x), y)), z) -> app'#(app'(minus(), x), app'(app'(plus(), y), z)))
        (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'(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'(minus(), app'(app'(minus(), x), y)), z) -> app'#(app'(minus(), x), app'(app'(plus(), y), z)))
        (app'#(app'(filter(), f), app'(app'(cons(), x), xs)) -> app'#(f, x), app'#(app'(minus(), app'(app'(minus(), x), y)), z) -> app'#(app'(plus(), y), z))
        (app'#(app'(filter(), f), app'(app'(cons(), x), xs)) -> app'#(f, x), app'#(app'(minus(), app'(app'(minus(), x), y)), z) -> app'#(plus(), y))
        (app'#(app'(filter(), f), app'(app'(cons(), x), xs)) -> app'#(f, x), app'#(app'(minus(), app'(s(), x)), app'(s(), y)) -> app'#(app'(minus(), x), y))
        (app'#(app'(filter(), f), app'(app'(cons(), x), xs)) -> app'#(f, x), app'#(app'(minus(), app'(s(), x)), app'(s(), y)) -> app'#(minus(), x))
        (app'#(app'(filter(), f), app'(app'(cons(), x), xs)) -> app'#(f, x), app'#(app'(plus(), app'(s(), x)), y) -> app'#(app'(plus(), x), y))
        (app'#(app'(filter(), f), app'(app'(cons(), x), xs)) -> app'#(f, x), app'#(app'(plus(), app'(s(), x)), y) -> app'#(s(), app'(app'(plus(), x), y)))
        (app'#(app'(filter(), f), app'(app'(cons(), x), xs)) -> app'#(f, x), app'#(app'(plus(), app'(s(), x)), y) -> app'#(plus(), x))
        (app'#(app'(filter(), f), app'(app'(cons(), x), xs)) -> app'#(f, x), app'#(app'(quot(), app'(s(), x)), app'(s(), y)) -> app'#(app'(minus(), x), y))
        (app'#(app'(filter(), f), app'(app'(cons(), x), xs)) -> app'#(f, x), app'#(app'(quot(), app'(s(), x)), app'(s(), y)) -> app'#(app'(quot(), app'(app'(minus(), x), y)), app'(s(), y)))
        (app'#(app'(filter(), f), app'(app'(cons(), x), xs)) -> app'#(f, x), app'#(app'(quot(), app'(s(), x)), app'(s(), y)) -> app'#(minus(), x))
        (app'#(app'(filter(), f), app'(app'(cons(), x), xs)) -> app'#(f, x), app'#(app'(quot(), app'(s(), x)), app'(s(), y)) -> app'#(s(), app'(app'(quot(), app'(app'(minus(), x), y)), app'(s(), y))))
        (app'#(app'(filter(), f), app'(app'(cons(), x), xs)) -> app'#(f, x), app'#(app'(quot(), app'(s(), x)), app'(s(), y)) -> app'#(quot(), app'(app'(minus(), x), y)))
        (app'#(app'(filter(), f), app'(app'(cons(), x), xs)) -> app'#(f, x), app'#(app'(app(), app'(app'(cons(), x), l)), k) -> app'#(app'(app(), l), k))
        (app'#(app'(filter(), f), app'(app'(cons(), x), xs)) -> app'#(f, x), app'#(app'(app(), app'(app'(cons(), x), l)), k) -> app'#(app'(cons(), x), app'(app'(app(), l), k)))
        (app'#(app'(filter(), f), app'(app'(cons(), x), xs)) -> app'#(f, x), app'#(app'(app(), app'(app'(cons(), x), l)), k) -> app'#(app(), l))
        (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'#(sum(), app'(app'(app(), l), app'(app'(cons(), x), app'(app'(cons(), y), k)))) -> app'#(app'(app(), l), app'(sum(), app'(app'(cons(), x), app'(app'(cons(), y), k)))))
        (app'#(app'(filter(), f), app'(app'(cons(), x), xs)) -> app'#(f, x), app'#(sum(), app'(app'(app(), l), app'(app'(cons(), x), app'(app'(cons(), y), k)))) -> app'#(sum(), app'(app'(app(), l), app'(sum(), app'(app'(cons(), x), app'(app'(cons(), y), k))))))
        (app'#(app'(filter(), f), app'(app'(cons(), x), xs)) -> app'#(f, x), app'#(sum(), app'(app'(app(), l), app'(app'(cons(), x), app'(app'(cons(), y), k)))) -> app'#(sum(), app'(app'(cons(), x), app'(app'(cons(), y), k))))
        (app'#(app'(filter(), f), app'(app'(cons(), x), xs)) -> app'#(f, x), app'#(sum(), app'(app'(cons(), x), app'(app'(cons(), y), l))) -> app'#(app'(plus(), x), y))
        (app'#(app'(filter(), f), app'(app'(cons(), x), xs)) -> app'#(f, x), app'#(sum(), app'(app'(cons(), x), app'(app'(cons(), y), l))) -> app'#(app'(cons(), app'(app'(plus(), x), y)), l))
        (app'#(app'(filter(), f), app'(app'(cons(), x), xs)) -> app'#(f, x), app'#(sum(), app'(app'(cons(), x), app'(app'(cons(), y), l))) -> app'#(plus(), x))
        (app'#(app'(filter(), f), app'(app'(cons(), x), xs)) -> app'#(f, x), app'#(sum(), app'(app'(cons(), x), app'(app'(cons(), y), l))) -> app'#(cons(), app'(app'(plus(), x), y)))
        (app'#(app'(filter(), f), app'(app'(cons(), x), xs)) -> app'#(f, x), app'#(sum(), app'(app'(cons(), x), app'(app'(cons(), y), l))) -> app'#(sum(), app'(app'(cons(), app'(app'(plus(), x), y)), l)))
        (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'(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'#(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'#(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(), false()), f), x), xs) -> app'#(filter(), 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'#(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'(app'(cons(), x), l)), k) -> app'#(app'(app(), l), k), app'#(app'(app(), app'(app'(cons(), x), l)), k) -> app'#(app'(app(), l), k))
        (app'#(app'(app(), app'(app'(cons(), x), l)), k) -> app'#(app'(app(), l), k), app'#(app'(app(), app'(app'(cons(), x), l)), k) -> app'#(app'(cons(), x), app'(app'(app(), l), k)))
        (app'#(app'(app(), app'(app'(cons(), x), l)), k) -> app'#(app'(app(), l), k), app'#(app'(app(), app'(app'(cons(), x), l)), k) -> app'#(app(), l))
        (app'#(sum(), app'(app'(cons(), x), app'(app'(cons(), y), l))) -> app'#(sum(), app'(app'(cons(), app'(app'(plus(), x), y)), l)), app'#(sum(), app'(app'(cons(), x), app'(app'(cons(), y), l))) -> app'#(app'(plus(), x), y))
        (app'#(sum(), app'(app'(cons(), x), app'(app'(cons(), y), l))) -> app'#(sum(), app'(app'(cons(), app'(app'(plus(), x), y)), l)), app'#(sum(), app'(app'(cons(), x), app'(app'(cons(), y), l))) -> app'#(app'(cons(), app'(app'(plus(), x), y)), l))
        (app'#(sum(), app'(app'(cons(), x), app'(app'(cons(), y), l))) -> app'#(sum(), app'(app'(cons(), app'(app'(plus(), x), y)), l)), app'#(sum(), app'(app'(cons(), x), app'(app'(cons(), y), l))) -> app'#(plus(), x))
        (app'#(sum(), app'(app'(cons(), x), app'(app'(cons(), y), l))) -> app'#(sum(), app'(app'(cons(), app'(app'(plus(), x), y)), l)), app'#(sum(), app'(app'(cons(), x), app'(app'(cons(), y), l))) -> app'#(cons(), app'(app'(plus(), x), y)))
        (app'#(sum(), app'(app'(cons(), x), app'(app'(cons(), y), l))) -> app'#(sum(), app'(app'(cons(), app'(app'(plus(), x), y)), l)), app'#(sum(), app'(app'(cons(), x), app'(app'(cons(), y), l))) -> app'#(sum(), app'(app'(cons(), app'(app'(plus(), x), y)), l)))
        (app'#(app'(minus(), app'(app'(minus(), x), y)), z) -> app'#(app'(minus(), x), app'(app'(plus(), y), z)), app'#(app'(minus(), app'(app'(minus(), x), y)), z) -> app'#(app'(minus(), x), app'(app'(plus(), y), z)))
        (app'#(app'(minus(), app'(app'(minus(), x), y)), z) -> app'#(app'(minus(), x), app'(app'(plus(), y), z)), app'#(app'(minus(), app'(app'(minus(), x), y)), z) -> app'#(app'(plus(), y), z))
        (app'#(app'(minus(), app'(app'(minus(), x), y)), z) -> app'#(app'(minus(), x), app'(app'(plus(), y), z)), app'#(app'(minus(), app'(app'(minus(), x), y)), z) -> app'#(plus(), y))
        (app'#(app'(minus(), app'(app'(minus(), x), y)), z) -> app'#(app'(minus(), x), app'(app'(plus(), y), z)), app'#(app'(minus(), app'(s(), x)), app'(s(), y)) -> app'#(app'(minus(), x), y))
        (app'#(app'(minus(), app'(app'(minus(), x), y)), z) -> app'#(app'(minus(), x), app'(app'(plus(), y), z)), app'#(app'(minus(), app'(s(), x)), app'(s(), y)) -> app'#(minus(), x))
        (app'#(sum(), app'(app'(app(), l), app'(app'(cons(), x), app'(app'(cons(), y), k)))) -> app'#(sum(), app'(app'(cons(), x), app'(app'(cons(), y), k))), app'#(sum(), app'(app'(cons(), x), app'(app'(cons(), y), l))) -> app'#(app'(plus(), x), y))
        (app'#(sum(), app'(app'(app(), l), app'(app'(cons(), x), app'(app'(cons(), y), k)))) -> app'#(sum(), app'(app'(cons(), x), app'(app'(cons(), y), k))), app'#(sum(), app'(app'(cons(), x), app'(app'(cons(), y), l))) -> app'#(app'(cons(), app'(app'(plus(), x), y)), l))
        (app'#(sum(), app'(app'(app(), l), app'(app'(cons(), x), app'(app'(cons(), y), k)))) -> app'#(sum(), app'(app'(cons(), x), app'(app'(cons(), y), k))), app'#(sum(), app'(app'(cons(), x), app'(app'(cons(), y), l))) -> app'#(plus(), x))
        (app'#(sum(), app'(app'(app(), l), app'(app'(cons(), x), app'(app'(cons(), y), k)))) -> app'#(sum(), app'(app'(cons(), x), app'(app'(cons(), y), k))), app'#(sum(), app'(app'(cons(), x), app'(app'(cons(), y), l))) -> app'#(cons(), app'(app'(plus(), x), y)))
        (app'#(sum(), app'(app'(app(), l), app'(app'(cons(), x), app'(app'(cons(), y), k)))) -> app'#(sum(), app'(app'(cons(), x), app'(app'(cons(), y), k))), app'#(sum(), app'(app'(cons(), x), app'(app'(cons(), y), l))) -> app'#(sum(), app'(app'(cons(), app'(app'(plus(), x), y)), l)))
        (app'#(sum(), app'(app'(app(), l), app'(app'(cons(), x), app'(app'(cons(), y), k)))) -> app'#(app'(app(), l), app'(sum(), app'(app'(cons(), x), app'(app'(cons(), y), k)))), app'#(app'(app(), app'(app'(cons(), x), l)), k) -> app'#(app'(app(), l), k))
        (app'#(sum(), app'(app'(app(), l), app'(app'(cons(), x), app'(app'(cons(), y), k)))) -> app'#(app'(app(), l), app'(sum(), app'(app'(cons(), x), app'(app'(cons(), y), k)))), app'#(app'(app(), app'(app'(cons(), x), l)), k) -> app'#(app'(cons(), x), app'(app'(app(), l), k)))
        (app'#(sum(), app'(app'(app(), l), app'(app'(cons(), x), app'(app'(cons(), y), k)))) -> app'#(app'(app(), l), app'(sum(), app'(app'(cons(), x), app'(app'(cons(), y), k)))), app'#(app'(app(), app'(app'(cons(), x), l)), k) -> app'#(app(), l))
        (app'#(app'(quot(), app'(s(), x)), app'(s(), y)) -> app'#(app'(minus(), x), y), app'#(app'(minus(), app'(app'(minus(), x), y)), z) -> app'#(app'(minus(), x), app'(app'(plus(), y), z)))
        (app'#(app'(quot(), app'(s(), x)), app'(s(), y)) -> app'#(app'(minus(), x), y), app'#(app'(minus(), app'(app'(minus(), x), y)), z) -> app'#(app'(plus(), y), z))
        (app'#(app'(quot(), app'(s(), x)), app'(s(), y)) -> app'#(app'(minus(), x), y), app'#(app'(minus(), app'(app'(minus(), x), y)), z) -> app'#(plus(), y))
        (app'#(app'(quot(), app'(s(), x)), app'(s(), y)) -> app'#(app'(minus(), x), y), app'#(app'(minus(), app'(s(), x)), app'(s(), y)) -> app'#(app'(minus(), x), y))
        (app'#(app'(quot(), app'(s(), x)), app'(s(), y)) -> app'#(app'(minus(), x), y), app'#(app'(minus(), app'(s(), x)), app'(s(), y)) -> app'#(minus(), x))
        (app'#(app'(minus(), app'(s(), x)), app'(s(), y)) -> app'#(app'(minus(), x), y), app'#(app'(minus(), app'(app'(minus(), x), y)), z) -> app'#(app'(minus(), x), app'(app'(plus(), y), z)))
        (app'#(app'(minus(), app'(s(), x)), app'(s(), y)) -> app'#(app'(minus(), x), y), app'#(app'(minus(), app'(app'(minus(), x), y)), z) -> app'#(app'(plus(), y), z))
        (app'#(app'(minus(), app'(s(), x)), app'(s(), y)) -> app'#(app'(minus(), x), y), app'#(app'(minus(), app'(app'(minus(), x), y)), z) -> app'#(plus(), y))
        (app'#(app'(minus(), app'(s(), x)), app'(s(), y)) -> app'#(app'(minus(), x), y), app'#(app'(minus(), app'(s(), x)), app'(s(), y)) -> app'#(app'(minus(), x), y))
        (app'#(app'(minus(), app'(s(), x)), app'(s(), y)) -> app'#(app'(minus(), x), y), app'#(app'(minus(), app'(s(), x)), app'(s(), y)) -> app'#(minus(), x))
       }
       STATUS:
        arrows: 0.900723
        SCCS (7):
         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'#(app'(quot(), app'(s(), x)), app'(s(), y)) -> app'#(app'(quot(), app'(app'(minus(), x), y)), app'(s(), y))}
         Scc:
          {app'#(sum(), app'(app'(app(), l), app'(app'(cons(), x), app'(app'(cons(), y), k)))) -> app'#(sum(), app'(app'(app(), l), app'(sum(), app'(app'(cons(), x), app'(app'(cons(), y), k)))))}
         Scc:
          {app'#(sum(), app'(app'(cons(), x), app'(app'(cons(), y), l))) -> app'#(sum(), app'(app'(cons(), app'(app'(plus(), x), y)), l))}
         Scc:
          {app'#(app'(app(), app'(app'(cons(), x), l)), k) -> app'#(app'(app(), l), k)}
         Scc:
          {app'#(app'(minus(), app'(app'(minus(), x), y)), z) -> app'#(app'(minus(), x), app'(app'(plus(), y), z)),
             app'#(app'(minus(), app'(s(), x)), app'(s(), y)) -> app'#(app'(minus(), x), y)}
         Scc:
          {app'#(app'(plus(), app'(s(), x)), y) -> app'#(app'(plus(), 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'(minus(), x), 0()) -> x,
                                                      app'(app'(minus(), app'(app'(minus(), x), y)), z) -> app'(app'(minus(), x), app'(app'(plus(), y), z)),
                                                        app'(app'(minus(), app'(s(), x)), app'(s(), y)) -> app'(app'(minus(), x), y),
                                                                    app'(app'(plus(), app'(s(), x)), y) -> app'(s(), app'(app'(plus(), x), y)),
                                                                             app'(app'(plus(), 0()), y) -> y,
                                                         app'(app'(quot(), app'(s(), x)), app'(s(), y)) -> app'(s(), app'(app'(quot(), app'(app'(minus(), x), y)), app'(s(), y))),
                                                                  app'(app'(quot(), 0()), app'(s(), y)) -> 0(),
                                                                            app'(app'(app(), l), nil()) -> l,
                                                         app'(app'(app(), app'(app'(cons(), x), l)), k) -> app'(app'(cons(), x), app'(app'(app(), l), k)),
                                                                            app'(app'(app(), nil()), k) -> k,
                                                        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'(sum(), app'(app'(app(), l), app'(app'(cons(), x), app'(app'(cons(), y), k)))) -> app'(sum(), app'(app'(app(), l), app'(sum(), app'(app'(cons(), x), app'(app'(cons(), y), k))))),
                                           app'(sum(), app'(app'(cons(), x), app'(app'(cons(), y), l))) -> app'(sum(), app'(app'(cons(), app'(app'(plus(), x), y)), l)),
                                                              app'(sum(), app'(app'(cons(), x), nil())) -> app'(app'(cons(), x), nil())}
          POLY:
           Mode: weak, max_in=1, output_bits=-1, dnum=1, ur=true
           Interpretation:
            [app'](x0, x1) = x0 + x1,
            
            [minus] = 0,
            
            [0] = 0,
            
            [s] = 0,
            
            [plus] = 0,
            
            [quot] = 0,
            
            [app] = 0,
            
            [nil] = 0,
            
            [cons] = 1,
            
            [sum] = 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'#(app'(app'(app'(filter2(), app'(f, x)), f), x), xs)
            1 + 1x + 0f + 1xs >= 0 + 0x + 0f + 1xs
            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'(sum(), app'(app'(cons(), x), nil())) -> app'(app'(cons(), x), nil())
            1 + 1x >= 1 + 1x
            app'(sum(), app'(app'(cons(), x), app'(app'(cons(), y), l))) -> app'(sum(), app'(app'(cons(), app'(app'(plus(), x), y)), l))
            2 + 1x + 1y + 1l >= 1 + 1x + 1y + 1l
            app'(sum(), app'(app'(app(), l), app'(app'(cons(), x), app'(app'(cons(), y), k)))) -> app'(sum(), app'(app'(app(), l), app'(sum(), app'(app'(cons(), x), app'(app'(cons(), y), k)))))
            2 + 1x + 1y + 1k + 1l >= 2 + 1x + 1y + 1k + 1l
            app'(app'(filter(), f), nil()) -> nil()
            0 + 1f >= 0
            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'(map(), f), nil()) -> nil()
            0 + 1f >= 0
            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'(app(), nil()), k) -> k
            0 + 1k >= 1k
            app'(app'(app(), app'(app'(cons(), x), l)), k) -> app'(app'(cons(), x), app'(app'(app(), l), k))
            1 + 1x + 1k + 1l >= 1 + 1x + 1k + 1l
            app'(app'(app(), l), nil()) -> l
            0 + 1l >= 1l
            app'(app'(quot(), 0()), app'(s(), y)) -> 0()
            0 + 1y >= 0
            app'(app'(quot(), app'(s(), x)), app'(s(), y)) -> app'(s(), app'(app'(quot(), app'(app'(minus(), x), y)), app'(s(), y)))
            0 + 1x + 1y >= 0 + 1x + 2y
            app'(app'(plus(), 0()), y) -> y
            0 + 1y >= 1y
            app'(app'(plus(), app'(s(), x)), y) -> app'(s(), app'(app'(plus(), x), y))
            0 + 1x + 1y >= 0 + 1x + 1y
            app'(app'(minus(), app'(s(), x)), app'(s(), y)) -> app'(app'(minus(), x), y)
            0 + 1x + 1y >= 0 + 1x + 1y
            app'(app'(minus(), app'(app'(minus(), x), y)), z) -> app'(app'(minus(), x), app'(app'(plus(), y), z))
            0 + 1x + 1y + 1z >= 0 + 1x + 1y + 1z
            app'(app'(minus(), x), 0()) -> x
            0 + 1x >= 1x
            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 (1):
         Strict:
          {app'#(app'(quot(), app'(s(), x)), app'(s(), y)) -> app'#(app'(quot(), app'(app'(minus(), x), y)), app'(s(), 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'(minus(), x), 0()) -> x,
                                                     app'(app'(minus(), app'(app'(minus(), x), y)), z) -> app'(app'(minus(), x), app'(app'(plus(), y), z)),
                                                       app'(app'(minus(), app'(s(), x)), app'(s(), y)) -> app'(app'(minus(), x), y),
                                                                   app'(app'(plus(), app'(s(), x)), y) -> app'(s(), app'(app'(plus(), x), y)),
                                                                            app'(app'(plus(), 0()), y) -> y,
                                                        app'(app'(quot(), app'(s(), x)), app'(s(), y)) -> app'(s(), app'(app'(quot(), app'(app'(minus(), x), y)), app'(s(), y))),
                                                                 app'(app'(quot(), 0()), app'(s(), y)) -> 0(),
                                                                           app'(app'(app(), l), nil()) -> l,
                                                        app'(app'(app(), app'(app'(cons(), x), l)), k) -> app'(app'(cons(), x), app'(app'(app(), l), k)),
                                                                           app'(app'(app(), nil()), k) -> k,
                                                       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'(sum(), app'(app'(app(), l), app'(app'(cons(), x), app'(app'(cons(), y), k)))) -> app'(sum(), app'(app'(app(), l), app'(sum(), app'(app'(cons(), x), app'(app'(cons(), y), k))))),
                                          app'(sum(), app'(app'(cons(), x), app'(app'(cons(), y), l))) -> app'(sum(), app'(app'(cons(), app'(app'(plus(), x), y)), l)),
                                                             app'(sum(), app'(app'(cons(), x), nil())) -> app'(app'(cons(), x), nil())}
         Fail
        
        
        
        
        SCC (1):
         Strict:
          {app'#(sum(), app'(app'(app(), l), app'(app'(cons(), x), app'(app'(cons(), y), k)))) -> app'#(sum(), app'(app'(app(), l), app'(sum(), app'(app'(cons(), x), app'(app'(cons(), y), k)))))}
         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'(minus(), x), 0()) -> x,
                                                     app'(app'(minus(), app'(app'(minus(), x), y)), z) -> app'(app'(minus(), x), app'(app'(plus(), y), z)),
                                                       app'(app'(minus(), app'(s(), x)), app'(s(), y)) -> app'(app'(minus(), x), y),
                                                                   app'(app'(plus(), app'(s(), x)), y) -> app'(s(), app'(app'(plus(), x), y)),
                                                                            app'(app'(plus(), 0()), y) -> y,
                                                        app'(app'(quot(), app'(s(), x)), app'(s(), y)) -> app'(s(), app'(app'(quot(), app'(app'(minus(), x), y)), app'(s(), y))),
                                                                 app'(app'(quot(), 0()), app'(s(), y)) -> 0(),
                                                                           app'(app'(app(), l), nil()) -> l,
                                                        app'(app'(app(), app'(app'(cons(), x), l)), k) -> app'(app'(cons(), x), app'(app'(app(), l), k)),
                                                                           app'(app'(app(), nil()), k) -> k,
                                                       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'(sum(), app'(app'(app(), l), app'(app'(cons(), x), app'(app'(cons(), y), k)))) -> app'(sum(), app'(app'(app(), l), app'(sum(), app'(app'(cons(), x), app'(app'(cons(), y), k))))),
                                          app'(sum(), app'(app'(cons(), x), app'(app'(cons(), y), l))) -> app'(sum(), app'(app'(cons(), app'(app'(plus(), x), y)), l)),
                                                             app'(sum(), app'(app'(cons(), x), nil())) -> app'(app'(cons(), x), nil())}
         Fail
        
        SCC (1):
         Strict:
          {app'#(sum(), app'(app'(cons(), x), app'(app'(cons(), y), l))) -> app'#(sum(), app'(app'(cons(), app'(app'(plus(), x), 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'(minus(), x), 0()) -> x,
                                                     app'(app'(minus(), app'(app'(minus(), x), y)), z) -> app'(app'(minus(), x), app'(app'(plus(), y), z)),
                                                       app'(app'(minus(), app'(s(), x)), app'(s(), y)) -> app'(app'(minus(), x), y),
                                                                   app'(app'(plus(), app'(s(), x)), y) -> app'(s(), app'(app'(plus(), x), y)),
                                                                            app'(app'(plus(), 0()), y) -> y,
                                                        app'(app'(quot(), app'(s(), x)), app'(s(), y)) -> app'(s(), app'(app'(quot(), app'(app'(minus(), x), y)), app'(s(), y))),
                                                                 app'(app'(quot(), 0()), app'(s(), y)) -> 0(),
                                                                           app'(app'(app(), l), nil()) -> l,
                                                        app'(app'(app(), app'(app'(cons(), x), l)), k) -> app'(app'(cons(), x), app'(app'(app(), l), k)),
                                                                           app'(app'(app(), nil()), k) -> k,
                                                       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'(sum(), app'(app'(app(), l), app'(app'(cons(), x), app'(app'(cons(), y), k)))) -> app'(sum(), app'(app'(app(), l), app'(sum(), app'(app'(cons(), x), app'(app'(cons(), y), k))))),
                                          app'(sum(), app'(app'(cons(), x), app'(app'(cons(), y), l))) -> app'(sum(), app'(app'(cons(), app'(app'(plus(), x), y)), l)),
                                                             app'(sum(), app'(app'(cons(), x), nil())) -> app'(app'(cons(), x), nil())}
         Fail
        
        
        
        SCC (1):
         Strict:
          {app'#(app'(app(), app'(app'(cons(), x), l)), k) -> app'#(app'(app(), l), k)}
         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'(minus(), x), 0()) -> x,
                                                     app'(app'(minus(), app'(app'(minus(), x), y)), z) -> app'(app'(minus(), x), app'(app'(plus(), y), z)),
                                                       app'(app'(minus(), app'(s(), x)), app'(s(), y)) -> app'(app'(minus(), x), y),
                                                                   app'(app'(plus(), app'(s(), x)), y) -> app'(s(), app'(app'(plus(), x), y)),
                                                                            app'(app'(plus(), 0()), y) -> y,
                                                        app'(app'(quot(), app'(s(), x)), app'(s(), y)) -> app'(s(), app'(app'(quot(), app'(app'(minus(), x), y)), app'(s(), y))),
                                                                 app'(app'(quot(), 0()), app'(s(), y)) -> 0(),
                                                                           app'(app'(app(), l), nil()) -> l,
                                                        app'(app'(app(), app'(app'(cons(), x), l)), k) -> app'(app'(cons(), x), app'(app'(app(), l), k)),
                                                                           app'(app'(app(), nil()), k) -> k,
                                                       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'(sum(), app'(app'(app(), l), app'(app'(cons(), x), app'(app'(cons(), y), k)))) -> app'(sum(), app'(app'(app(), l), app'(sum(), app'(app'(cons(), x), app'(app'(cons(), y), k))))),
                                          app'(sum(), app'(app'(cons(), x), app'(app'(cons(), y), l))) -> app'(sum(), app'(app'(cons(), app'(app'(plus(), x), y)), l)),
                                                             app'(sum(), app'(app'(cons(), x), nil())) -> app'(app'(cons(), x), nil())}
         Fail
        
        
        
        
        
        
        SCC (2):
         Strict:
          {app'#(app'(minus(), app'(app'(minus(), x), y)), z) -> app'#(app'(minus(), x), app'(app'(plus(), y), z)),
             app'#(app'(minus(), app'(s(), x)), app'(s(), y)) -> app'#(app'(minus(), 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'(minus(), x), 0()) -> x,
                                                     app'(app'(minus(), app'(app'(minus(), x), y)), z) -> app'(app'(minus(), x), app'(app'(plus(), y), z)),
                                                       app'(app'(minus(), app'(s(), x)), app'(s(), y)) -> app'(app'(minus(), x), y),
                                                                   app'(app'(plus(), app'(s(), x)), y) -> app'(s(), app'(app'(plus(), x), y)),
                                                                            app'(app'(plus(), 0()), y) -> y,
                                                        app'(app'(quot(), app'(s(), x)), app'(s(), y)) -> app'(s(), app'(app'(quot(), app'(app'(minus(), x), y)), app'(s(), y))),
                                                                 app'(app'(quot(), 0()), app'(s(), y)) -> 0(),
                                                                           app'(app'(app(), l), nil()) -> l,
                                                        app'(app'(app(), app'(app'(cons(), x), l)), k) -> app'(app'(cons(), x), app'(app'(app(), l), k)),
                                                                           app'(app'(app(), nil()), k) -> k,
                                                       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'(sum(), app'(app'(app(), l), app'(app'(cons(), x), app'(app'(cons(), y), k)))) -> app'(sum(), app'(app'(app(), l), app'(sum(), app'(app'(cons(), x), app'(app'(cons(), y), k))))),
                                          app'(sum(), app'(app'(cons(), x), app'(app'(cons(), y), l))) -> app'(sum(), app'(app'(cons(), app'(app'(plus(), x), y)), l)),
                                                             app'(sum(), app'(app'(cons(), x), nil())) -> app'(app'(cons(), x), nil())}
         Fail
        
        
        
        SCC (1):
         Strict:
          {app'#(app'(plus(), app'(s(), x)), y) -> app'#(app'(plus(), 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'(minus(), x), 0()) -> x,
                                                     app'(app'(minus(), app'(app'(minus(), x), y)), z) -> app'(app'(minus(), x), app'(app'(plus(), y), z)),
                                                       app'(app'(minus(), app'(s(), x)), app'(s(), y)) -> app'(app'(minus(), x), y),
                                                                   app'(app'(plus(), app'(s(), x)), y) -> app'(s(), app'(app'(plus(), x), y)),
                                                                            app'(app'(plus(), 0()), y) -> y,
                                                        app'(app'(quot(), app'(s(), x)), app'(s(), y)) -> app'(s(), app'(app'(quot(), app'(app'(minus(), x), y)), app'(s(), y))),
                                                                 app'(app'(quot(), 0()), app'(s(), y)) -> 0(),
                                                                           app'(app'(app(), l), nil()) -> l,
                                                        app'(app'(app(), app'(app'(cons(), x), l)), k) -> app'(app'(cons(), x), app'(app'(app(), l), k)),
                                                                           app'(app'(app(), nil()), k) -> k,
                                                       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'(sum(), app'(app'(app(), l), app'(app'(cons(), x), app'(app'(cons(), y), k)))) -> app'(sum(), app'(app'(app(), l), app'(sum(), app'(app'(cons(), x), app'(app'(cons(), y), k))))),
                                          app'(sum(), app'(app'(cons(), x), app'(app'(cons(), y), l))) -> app'(sum(), app'(app'(cons(), app'(app'(plus(), x), y)), l)),
                                                             app'(sum(), app'(app'(cons(), x), nil())) -> app'(app'(cons(), x), nil())}
         Fail