MAYBE
Time: 0.127882
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(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(), 0()), app(s(), y)) -> 0(),
       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(log(), app(s(), app(s(), x))) -> app(s(), app(log(), app(s(), app(app(quot(), x), app(s(), app(s(), 0())))))),
                         app(log(), app(s(), 0())) -> 0()}
 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(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(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(map(), f), app(app(cons(), x), xs)) -> app#(f, x),
         app#(app(map(), f), app(app(cons(), x), xs)) -> app#(app(map(), f), xs),
         app#(app(map(), f), app(app(cons(), x), xs)) -> app#(app(cons(), app(f, x)), app(app(map(), f), xs)),
         app#(app(map(), f), app(app(cons(), x), xs)) -> app#(cons(), app(f, x)),
      app#(app(filter(), f), app(app(cons(), x), xs)) -> app#(f, x),
      app#(app(filter(), f), app(app(cons(), x), xs)) -> app#(app(app(app(filter2(), app(f, x)), f), x), xs),
      app#(app(filter(), f), app(app(cons(), x), xs)) -> app#(app(app(filter2(), app(f, x)), f), x),
      app#(app(filter(), f), app(app(cons(), x), xs)) -> app#(app(filter2(), app(f, x)), f),
      app#(app(filter(), f), app(app(cons(), x), xs)) -> app#(filter2(), app(f, x)),
                   app#(log(), app(s(), app(s(), x))) -> app#(app(quot(), x), app(s(), app(s(), 0()))),
                   app#(log(), app(s(), app(s(), x))) -> app#(s(), app(app(quot(), x), app(s(), app(s(), 0())))),
                   app#(log(), app(s(), app(s(), x))) -> app#(s(), app(s(), 0())),
                   app#(log(), app(s(), app(s(), x))) -> app#(s(), app(log(), app(s(), app(app(quot(), x), app(s(), app(s(), 0())))))),
                   app#(log(), app(s(), app(s(), x))) -> app#(s(), 0()),
                   app#(log(), app(s(), app(s(), x))) -> app#(quot(), x),
                   app#(log(), app(s(), app(s(), x))) -> app#(log(), app(s(), app(app(quot(), x), app(s(), app(s(), 0())))))}
  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(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(), 0()), app(s(), y)) -> 0(),
        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(log(), app(s(), app(s(), x))) -> app(s(), app(log(), app(s(), app(app(quot(), x), app(s(), app(s(), 0())))))),
                          app(log(), app(s(), 0())) -> 0()}
  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(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(), 0()), app(s(), y)) -> 0(),
         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(log(), app(s(), app(s(), x))) -> app(s(), app(log(), app(s(), app(app(quot(), x), app(s(), app(s(), 0())))))),
                           app(log(), app(s(), 0())) -> 0(),
                                             a(z, w) -> z,
                                             a(z, w) -> w}
   EDG:
    {
     (app#(app(minus(), app(s(), x)), app(s(), y)) -> app#(minus(), x), app#(log(), app(s(), app(s(), x))) -> app#(log(), app(s(), app(app(quot(), x), app(s(), app(s(), 0()))))))
     (app#(app(minus(), app(s(), x)), app(s(), y)) -> app#(minus(), x), app#(log(), app(s(), app(s(), x))) -> app#(quot(), x))
     (app#(app(minus(), app(s(), x)), app(s(), y)) -> app#(minus(), x), app#(log(), app(s(), app(s(), x))) -> app#(s(), 0()))
     (app#(app(minus(), app(s(), x)), app(s(), y)) -> app#(minus(), x), app#(log(), app(s(), app(s(), x))) -> app#(s(), app(log(), app(s(), app(app(quot(), x), app(s(), app(s(), 0())))))))
     (app#(app(minus(), app(s(), x)), app(s(), y)) -> app#(minus(), x), app#(log(), app(s(), app(s(), x))) -> app#(s(), app(s(), 0())))
     (app#(app(minus(), app(s(), x)), app(s(), y)) -> app#(minus(), x), app#(log(), app(s(), app(s(), x))) -> app#(s(), app(app(quot(), x), app(s(), app(s(), 0())))))
     (app#(app(minus(), app(s(), x)), app(s(), y)) -> app#(minus(), x), app#(log(), app(s(), app(s(), x))) -> app#(app(quot(), x), app(s(), app(s(), 0()))))
     (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#(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(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(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#(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#(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#(f, x))
     (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(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#(minus(), x))
     (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#(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#(minus(), x))
     (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(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(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(), 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#(cons(), x))
     (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#(app(cons(), x), app(app(filter(), f), xs)))
     (app#(log(), app(s(), app(s(), x))) -> app#(quot(), x), app#(log(), app(s(), app(s(), x))) -> app#(log(), app(s(), app(app(quot(), x), app(s(), app(s(), 0()))))))
     (app#(log(), app(s(), app(s(), x))) -> app#(quot(), x), app#(log(), app(s(), app(s(), x))) -> app#(quot(), x))
     (app#(log(), app(s(), app(s(), x))) -> app#(quot(), x), app#(log(), app(s(), app(s(), x))) -> app#(s(), 0()))
     (app#(log(), app(s(), app(s(), x))) -> app#(quot(), x), app#(log(), app(s(), app(s(), x))) -> app#(s(), app(log(), app(s(), app(app(quot(), x), app(s(), app(s(), 0())))))))
     (app#(log(), app(s(), app(s(), x))) -> app#(quot(), x), app#(log(), app(s(), app(s(), x))) -> app#(s(), app(s(), 0())))
     (app#(log(), app(s(), app(s(), x))) -> app#(quot(), x), app#(log(), app(s(), app(s(), x))) -> app#(s(), app(app(quot(), x), app(s(), app(s(), 0())))))
     (app#(log(), app(s(), app(s(), x))) -> app#(quot(), x), app#(log(), app(s(), app(s(), x))) -> app#(app(quot(), x), app(s(), app(s(), 0()))))
     (app#(log(), app(s(), app(s(), x))) -> app#(quot(), x), app#(app(filter(), f), app(app(cons(), x), xs)) -> app#(filter2(), app(f, x)))
     (app#(log(), app(s(), app(s(), x))) -> app#(quot(), x), app#(app(filter(), f), app(app(cons(), x), xs)) -> app#(app(filter2(), app(f, x)), f))
     (app#(log(), app(s(), app(s(), x))) -> app#(quot(), x), app#(app(filter(), f), app(app(cons(), x), xs)) -> app#(app(app(filter2(), app(f, x)), f), x))
     (app#(log(), app(s(), app(s(), x))) -> app#(quot(), x), app#(app(filter(), f), app(app(cons(), x), xs)) -> app#(app(app(app(filter2(), app(f, x)), f), x), xs))
     (app#(log(), app(s(), app(s(), x))) -> app#(quot(), x), app#(app(filter(), f), app(app(cons(), x), xs)) -> app#(f, x))
     (app#(log(), app(s(), app(s(), x))) -> app#(quot(), x), app#(app(map(), f), app(app(cons(), x), xs)) -> app#(cons(), app(f, x)))
     (app#(log(), app(s(), app(s(), x))) -> app#(quot(), x), app#(app(map(), f), app(app(cons(), x), xs)) -> app#(app(cons(), app(f, x)), app(app(map(), f), xs)))
     (app#(log(), app(s(), app(s(), x))) -> app#(quot(), x), app#(app(map(), f), app(app(cons(), x), xs)) -> app#(app(map(), f), xs))
     (app#(log(), app(s(), app(s(), x))) -> app#(quot(), x), app#(app(map(), f), app(app(cons(), x), xs)) -> app#(f, x))
     (app#(log(), app(s(), app(s(), x))) -> app#(quot(), x), app#(app(quot(), app(s(), x)), app(s(), y)) -> app#(quot(), app(app(minus(), x), y)))
     (app#(log(), app(s(), app(s(), x))) -> app#(quot(), x), app#(app(quot(), app(s(), x)), app(s(), y)) -> app#(s(), app(app(quot(), app(app(minus(), x), y)), app(s(), y))))
     (app#(log(), app(s(), app(s(), x))) -> app#(quot(), x), app#(app(quot(), app(s(), x)), app(s(), y)) -> app#(minus(), x))
     (app#(log(), app(s(), app(s(), x))) -> app#(quot(), x), app#(app(quot(), app(s(), x)), app(s(), y)) -> app#(app(quot(), app(app(minus(), x), y)), app(s(), y)))
     (app#(log(), app(s(), app(s(), x))) -> app#(quot(), x), app#(app(quot(), app(s(), x)), app(s(), y)) -> app#(app(minus(), x), y))
     (app#(log(), app(s(), app(s(), x))) -> app#(quot(), x), app#(app(minus(), app(s(), x)), app(s(), y)) -> app#(minus(), x))
     (app#(log(), app(s(), app(s(), x))) -> app#(quot(), x), app#(app(minus(), app(s(), x)), app(s(), y)) -> app#(app(minus(), x), y))
     (app#(log(), app(s(), app(s(), x))) -> app#(quot(), x), app#(app(app(app(filter2(), false()), f), x), xs) -> app#(filter(), f))
     (app#(log(), app(s(), app(s(), x))) -> app#(quot(), x), app#(app(app(app(filter2(), false()), f), x), xs) -> app#(app(filter(), f), xs))
     (app#(log(), app(s(), app(s(), x))) -> app#(quot(), x), app#(app(app(app(filter2(), true()), f), x), xs) -> app#(filter(), f))
     (app#(log(), app(s(), app(s(), x))) -> app#(quot(), x), app#(app(app(app(filter2(), true()), f), x), xs) -> app#(cons(), x))
     (app#(log(), app(s(), app(s(), x))) -> app#(quot(), x), app#(app(app(app(filter2(), true()), f), x), xs) -> app#(app(filter(), f), xs))
     (app#(log(), app(s(), app(s(), x))) -> app#(quot(), 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#(filter(), f), app#(log(), app(s(), app(s(), x))) -> app#(log(), app(s(), app(app(quot(), x), app(s(), app(s(), 0()))))))
     (app#(app(app(app(filter2(), true()), f), x), xs) -> app#(filter(), f), app#(log(), app(s(), app(s(), x))) -> app#(quot(), x))
     (app#(app(app(app(filter2(), true()), f), x), xs) -> app#(filter(), f), app#(log(), app(s(), app(s(), x))) -> app#(s(), 0()))
     (app#(app(app(app(filter2(), true()), f), x), xs) -> app#(filter(), f), app#(log(), app(s(), app(s(), x))) -> app#(s(), app(log(), app(s(), app(app(quot(), x), app(s(), app(s(), 0())))))))
     (app#(app(app(app(filter2(), true()), f), x), xs) -> app#(filter(), f), app#(log(), app(s(), app(s(), x))) -> app#(s(), app(s(), 0())))
     (app#(app(app(app(filter2(), true()), f), x), xs) -> app#(filter(), f), app#(log(), app(s(), app(s(), x))) -> app#(s(), app(app(quot(), x), app(s(), app(s(), 0())))))
     (app#(app(app(app(filter2(), true()), f), x), xs) -> app#(filter(), f), app#(log(), app(s(), app(s(), x))) -> app#(app(quot(), x), app(s(), app(s(), 0()))))
     (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(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(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(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(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(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(minus(), app(s(), x)), app(s(), y)) -> app#(app(minus(), x), y), app#(log(), app(s(), app(s(), x))) -> app#(log(), app(s(), app(app(quot(), x), app(s(), app(s(), 0()))))))
     (app#(app(minus(), app(s(), x)), app(s(), y)) -> app#(app(minus(), x), y), app#(log(), app(s(), app(s(), x))) -> app#(quot(), x))
     (app#(app(minus(), app(s(), x)), app(s(), y)) -> app#(app(minus(), x), y), app#(log(), app(s(), app(s(), x))) -> app#(s(), 0()))
     (app#(app(minus(), app(s(), x)), app(s(), y)) -> app#(app(minus(), x), y), app#(log(), app(s(), app(s(), x))) -> app#(s(), app(log(), app(s(), app(app(quot(), x), app(s(), app(s(), 0())))))))
     (app#(app(minus(), app(s(), x)), app(s(), y)) -> app#(app(minus(), x), y), app#(log(), app(s(), app(s(), x))) -> app#(s(), app(s(), 0())))
     (app#(app(minus(), app(s(), x)), app(s(), y)) -> app#(app(minus(), x), y), app#(log(), app(s(), app(s(), x))) -> app#(s(), app(app(quot(), x), app(s(), app(s(), 0())))))
     (app#(app(minus(), app(s(), x)), app(s(), y)) -> app#(app(minus(), x), y), app#(log(), app(s(), app(s(), x))) -> app#(app(quot(), x), app(s(), app(s(), 0()))))
     (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#(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(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(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#(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(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#(f, 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#(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#(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#(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#(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(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(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(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#(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#(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#(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#(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(quot(), app(s(), x)), app(s(), y)) -> app#(s(), app(app(quot(), app(app(minus(), x), y)), app(s(), y))), app#(log(), app(s(), app(s(), x))) -> app#(log(), app(s(), app(app(quot(), x), app(s(), app(s(), 0()))))))
     (app#(app(quot(), app(s(), x)), app(s(), y)) -> app#(s(), app(app(quot(), app(app(minus(), x), y)), app(s(), y))), app#(log(), app(s(), app(s(), x))) -> app#(quot(), x))
     (app#(app(quot(), app(s(), x)), app(s(), y)) -> app#(s(), app(app(quot(), app(app(minus(), x), y)), app(s(), y))), app#(log(), app(s(), app(s(), x))) -> app#(s(), 0()))
     (app#(app(quot(), app(s(), x)), app(s(), y)) -> app#(s(), app(app(quot(), app(app(minus(), x), y)), app(s(), y))), app#(log(), app(s(), app(s(), x))) -> app#(s(), app(log(), app(s(), app(app(quot(), x), app(s(), app(s(), 0())))))))
     (app#(app(quot(), app(s(), x)), app(s(), y)) -> app#(s(), app(app(quot(), app(app(minus(), x), y)), app(s(), y))), app#(log(), app(s(), app(s(), x))) -> app#(s(), app(s(), 0())))
     (app#(app(quot(), app(s(), x)), app(s(), y)) -> app#(s(), app(app(quot(), app(app(minus(), x), y)), app(s(), y))), app#(log(), app(s(), app(s(), x))) -> app#(s(), app(app(quot(), x), app(s(), app(s(), 0())))))
     (app#(app(quot(), app(s(), x)), app(s(), y)) -> app#(s(), app(app(quot(), app(app(minus(), x), y)), app(s(), y))), app#(log(), app(s(), app(s(), x))) -> app#(app(quot(), x), app(s(), app(s(), 0()))))
     (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(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(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(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(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(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#(log(), app(s(), app(s(), x))) -> app#(s(), app(app(quot(), x), app(s(), app(s(), 0())))), app#(log(), app(s(), app(s(), x))) -> app#(log(), app(s(), app(app(quot(), x), app(s(), app(s(), 0()))))))
     (app#(log(), app(s(), app(s(), x))) -> app#(s(), app(app(quot(), x), app(s(), app(s(), 0())))), app#(log(), app(s(), app(s(), x))) -> app#(quot(), x))
     (app#(log(), app(s(), app(s(), x))) -> app#(s(), app(app(quot(), x), app(s(), app(s(), 0())))), app#(log(), app(s(), app(s(), x))) -> app#(s(), 0()))
     (app#(log(), app(s(), app(s(), x))) -> app#(s(), app(app(quot(), x), app(s(), app(s(), 0())))), app#(log(), app(s(), app(s(), x))) -> app#(s(), app(log(), app(s(), app(app(quot(), x), app(s(), app(s(), 0())))))))
     (app#(log(), app(s(), app(s(), x))) -> app#(s(), app(app(quot(), x), app(s(), app(s(), 0())))), app#(log(), app(s(), app(s(), x))) -> app#(s(), app(s(), 0())))
     (app#(log(), app(s(), app(s(), x))) -> app#(s(), app(app(quot(), x), app(s(), app(s(), 0())))), app#(log(), app(s(), app(s(), x))) -> app#(s(), app(app(quot(), x), app(s(), app(s(), 0())))))
     (app#(log(), app(s(), app(s(), x))) -> app#(s(), app(app(quot(), x), app(s(), app(s(), 0())))), app#(log(), app(s(), app(s(), x))) -> app#(app(quot(), x), app(s(), app(s(), 0()))))
     (app#(log(), app(s(), app(s(), x))) -> app#(s(), app(app(quot(), x), app(s(), app(s(), 0())))), app#(app(filter(), f), app(app(cons(), x), xs)) -> app#(filter2(), app(f, x)))
     (app#(log(), app(s(), app(s(), x))) -> app#(s(), app(app(quot(), x), app(s(), app(s(), 0())))), app#(app(filter(), f), app(app(cons(), x), xs)) -> app#(app(filter2(), app(f, x)), f))
     (app#(log(), app(s(), app(s(), x))) -> app#(s(), app(app(quot(), x), app(s(), app(s(), 0())))), app#(app(filter(), f), app(app(cons(), x), xs)) -> app#(app(app(filter2(), app(f, x)), f), x))
     (app#(log(), app(s(), app(s(), x))) -> app#(s(), app(app(quot(), x), app(s(), app(s(), 0())))), app#(app(filter(), f), app(app(cons(), x), xs)) -> app#(app(app(app(filter2(), app(f, x)), f), x), xs))
     (app#(log(), app(s(), app(s(), x))) -> app#(s(), app(app(quot(), x), app(s(), app(s(), 0())))), app#(app(filter(), f), app(app(cons(), x), xs)) -> app#(f, x))
     (app#(log(), app(s(), app(s(), x))) -> app#(s(), app(app(quot(), x), app(s(), app(s(), 0())))), app#(app(map(), f), app(app(cons(), x), xs)) -> app#(cons(), app(f, x)))
     (app#(log(), app(s(), app(s(), x))) -> app#(s(), app(app(quot(), x), app(s(), app(s(), 0())))), app#(app(map(), f), app(app(cons(), x), xs)) -> app#(app(cons(), app(f, x)), app(app(map(), f), xs)))
     (app#(log(), app(s(), app(s(), x))) -> app#(s(), app(app(quot(), x), app(s(), app(s(), 0())))), app#(app(map(), f), app(app(cons(), x), xs)) -> app#(app(map(), f), xs))
     (app#(log(), app(s(), app(s(), x))) -> app#(s(), app(app(quot(), x), app(s(), app(s(), 0())))), app#(app(map(), f), app(app(cons(), x), xs)) -> app#(f, x))
     (app#(log(), app(s(), app(s(), x))) -> app#(s(), app(app(quot(), x), app(s(), app(s(), 0())))), app#(app(quot(), app(s(), x)), app(s(), y)) -> app#(quot(), app(app(minus(), x), y)))
     (app#(log(), app(s(), app(s(), x))) -> app#(s(), app(app(quot(), x), app(s(), app(s(), 0())))), app#(app(quot(), app(s(), x)), app(s(), y)) -> app#(s(), app(app(quot(), app(app(minus(), x), y)), app(s(), y))))
     (app#(log(), app(s(), app(s(), x))) -> app#(s(), app(app(quot(), x), app(s(), app(s(), 0())))), app#(app(quot(), app(s(), x)), app(s(), y)) -> app#(minus(), x))
     (app#(log(), app(s(), app(s(), x))) -> app#(s(), app(app(quot(), x), app(s(), app(s(), 0())))), app#(app(quot(), app(s(), x)), app(s(), y)) -> app#(app(quot(), app(app(minus(), x), y)), app(s(), y)))
     (app#(log(), app(s(), app(s(), x))) -> app#(s(), app(app(quot(), x), app(s(), app(s(), 0())))), app#(app(quot(), app(s(), x)), app(s(), y)) -> app#(app(minus(), x), y))
     (app#(log(), app(s(), app(s(), x))) -> app#(s(), app(app(quot(), x), app(s(), app(s(), 0())))), app#(app(minus(), app(s(), x)), app(s(), y)) -> app#(minus(), x))
     (app#(log(), app(s(), app(s(), x))) -> app#(s(), app(app(quot(), x), app(s(), app(s(), 0())))), app#(app(minus(), app(s(), x)), app(s(), y)) -> app#(app(minus(), x), y))
     (app#(log(), app(s(), app(s(), x))) -> app#(s(), app(app(quot(), x), app(s(), app(s(), 0())))), app#(app(app(app(filter2(), false()), f), x), xs) -> app#(filter(), f))
     (app#(log(), app(s(), app(s(), x))) -> app#(s(), app(app(quot(), x), app(s(), app(s(), 0())))), app#(app(app(app(filter2(), false()), f), x), xs) -> app#(app(filter(), f), xs))
     (app#(log(), app(s(), app(s(), x))) -> app#(s(), app(app(quot(), x), app(s(), app(s(), 0())))), app#(app(app(app(filter2(), true()), f), x), xs) -> app#(filter(), f))
     (app#(log(), app(s(), app(s(), x))) -> app#(s(), app(app(quot(), x), app(s(), app(s(), 0())))), app#(app(app(app(filter2(), true()), f), x), xs) -> app#(cons(), x))
     (app#(log(), app(s(), app(s(), x))) -> app#(s(), app(app(quot(), x), app(s(), app(s(), 0())))), app#(app(app(app(filter2(), true()), f), x), xs) -> app#(app(filter(), f), xs))
     (app#(log(), app(s(), app(s(), x))) -> app#(s(), app(app(quot(), x), app(s(), app(s(), 0())))), app#(app(app(app(filter2(), true()), f), x), xs) -> app#(app(cons(), x), app(app(filter(), f), xs)))
     (app#(log(), app(s(), app(s(), x))) -> app#(log(), app(s(), app(app(quot(), x), app(s(), app(s(), 0()))))), app#(log(), app(s(), app(s(), x))) -> app#(log(), app(s(), app(app(quot(), x), app(s(), app(s(), 0()))))))
     (app#(log(), app(s(), app(s(), x))) -> app#(log(), app(s(), app(app(quot(), x), app(s(), app(s(), 0()))))), app#(log(), app(s(), app(s(), x))) -> app#(quot(), x))
     (app#(log(), app(s(), app(s(), x))) -> app#(log(), app(s(), app(app(quot(), x), app(s(), app(s(), 0()))))), app#(log(), app(s(), app(s(), x))) -> app#(s(), 0()))
     (app#(log(), app(s(), app(s(), x))) -> app#(log(), app(s(), app(app(quot(), x), app(s(), app(s(), 0()))))), app#(log(), app(s(), app(s(), x))) -> app#(s(), app(log(), app(s(), app(app(quot(), x), app(s(), app(s(), 0())))))))
     (app#(log(), app(s(), app(s(), x))) -> app#(log(), app(s(), app(app(quot(), x), app(s(), app(s(), 0()))))), app#(log(), app(s(), app(s(), x))) -> app#(s(), app(s(), 0())))
     (app#(log(), app(s(), app(s(), x))) -> app#(log(), app(s(), app(app(quot(), x), app(s(), app(s(), 0()))))), app#(log(), app(s(), app(s(), x))) -> app#(s(), app(app(quot(), x), app(s(), app(s(), 0())))))
     (app#(log(), app(s(), app(s(), x))) -> app#(log(), app(s(), app(app(quot(), x), app(s(), app(s(), 0()))))), app#(log(), app(s(), app(s(), x))) -> app#(app(quot(), x), app(s(), app(s(), 0()))))
     (app#(log(), app(s(), app(s(), x))) -> app#(log(), app(s(), app(app(quot(), x), app(s(), app(s(), 0()))))), app#(app(filter(), f), app(app(cons(), x), xs)) -> app#(filter2(), app(f, x)))
     (app#(log(), app(s(), app(s(), x))) -> app#(log(), app(s(), app(app(quot(), x), app(s(), app(s(), 0()))))), app#(app(filter(), f), app(app(cons(), x), xs)) -> app#(app(filter2(), app(f, x)), f))
     (app#(log(), app(s(), app(s(), x))) -> app#(log(), app(s(), app(app(quot(), x), app(s(), app(s(), 0()))))), app#(app(filter(), f), app(app(cons(), x), xs)) -> app#(app(app(filter2(), app(f, x)), f), x))
     (app#(log(), app(s(), app(s(), x))) -> app#(log(), app(s(), app(app(quot(), x), app(s(), app(s(), 0()))))), app#(app(filter(), f), app(app(cons(), x), xs)) -> app#(app(app(app(filter2(), app(f, x)), f), x), xs))
     (app#(log(), app(s(), app(s(), x))) -> app#(log(), app(s(), app(app(quot(), x), app(s(), app(s(), 0()))))), app#(app(filter(), f), app(app(cons(), x), xs)) -> app#(f, x))
     (app#(log(), app(s(), app(s(), x))) -> app#(log(), app(s(), app(app(quot(), x), app(s(), app(s(), 0()))))), app#(app(map(), f), app(app(cons(), x), xs)) -> app#(cons(), app(f, x)))
     (app#(log(), app(s(), app(s(), x))) -> app#(log(), app(s(), app(app(quot(), x), app(s(), app(s(), 0()))))), app#(app(map(), f), app(app(cons(), x), xs)) -> app#(app(cons(), app(f, x)), app(app(map(), f), xs)))
     (app#(log(), app(s(), app(s(), x))) -> app#(log(), app(s(), app(app(quot(), x), app(s(), app(s(), 0()))))), app#(app(map(), f), app(app(cons(), x), xs)) -> app#(app(map(), f), xs))
     (app#(log(), app(s(), app(s(), x))) -> app#(log(), app(s(), app(app(quot(), x), app(s(), app(s(), 0()))))), app#(app(map(), f), app(app(cons(), x), xs)) -> app#(f, x))
     (app#(log(), app(s(), app(s(), x))) -> app#(log(), app(s(), app(app(quot(), x), app(s(), app(s(), 0()))))), app#(app(quot(), app(s(), x)), app(s(), y)) -> app#(quot(), app(app(minus(), x), y)))
     (app#(log(), app(s(), app(s(), x))) -> app#(log(), app(s(), app(app(quot(), x), app(s(), app(s(), 0()))))), app#(app(quot(), app(s(), x)), app(s(), y)) -> app#(s(), app(app(quot(), app(app(minus(), x), y)), app(s(), y))))
     (app#(log(), app(s(), app(s(), x))) -> app#(log(), app(s(), app(app(quot(), x), app(s(), app(s(), 0()))))), app#(app(quot(), app(s(), x)), app(s(), y)) -> app#(minus(), x))
     (app#(log(), app(s(), app(s(), x))) -> app#(log(), app(s(), app(app(quot(), x), app(s(), app(s(), 0()))))), app#(app(quot(), app(s(), x)), app(s(), y)) -> app#(app(quot(), app(app(minus(), x), y)), app(s(), y)))
     (app#(log(), app(s(), app(s(), x))) -> app#(log(), app(s(), app(app(quot(), x), app(s(), app(s(), 0()))))), app#(app(quot(), app(s(), x)), app(s(), y)) -> app#(app(minus(), x), y))
     (app#(log(), app(s(), app(s(), x))) -> app#(log(), app(s(), app(app(quot(), x), app(s(), app(s(), 0()))))), app#(app(minus(), app(s(), x)), app(s(), y)) -> app#(minus(), x))
     (app#(log(), app(s(), app(s(), x))) -> app#(log(), app(s(), app(app(quot(), x), app(s(), app(s(), 0()))))), app#(app(minus(), app(s(), x)), app(s(), y)) -> app#(app(minus(), x), y))
     (app#(log(), app(s(), app(s(), x))) -> app#(log(), app(s(), app(app(quot(), x), app(s(), app(s(), 0()))))), app#(app(app(app(filter2(), false()), f), x), xs) -> app#(filter(), f))
     (app#(log(), app(s(), app(s(), x))) -> app#(log(), app(s(), app(app(quot(), x), app(s(), app(s(), 0()))))), app#(app(app(app(filter2(), false()), f), x), xs) -> app#(app(filter(), f), xs))
     (app#(log(), app(s(), app(s(), x))) -> app#(log(), app(s(), app(app(quot(), x), app(s(), app(s(), 0()))))), app#(app(app(app(filter2(), true()), f), x), xs) -> app#(filter(), f))
     (app#(log(), app(s(), app(s(), x))) -> app#(log(), app(s(), app(app(quot(), x), app(s(), app(s(), 0()))))), app#(app(app(app(filter2(), true()), f), x), xs) -> app#(cons(), x))
     (app#(log(), app(s(), app(s(), x))) -> app#(log(), app(s(), app(app(quot(), x), app(s(), app(s(), 0()))))), app#(app(app(app(filter2(), true()), f), x), xs) -> app#(app(filter(), f), xs))
     (app#(log(), app(s(), app(s(), x))) -> app#(log(), app(s(), app(app(quot(), x), app(s(), app(s(), 0()))))), app#(app(app(app(filter2(), true()), f), x), xs) -> app#(app(cons(), x), app(app(filter(), f), xs)))
     (app#(log(), app(s(), app(s(), x))) -> app#(s(), app(s(), 0())), app#(log(), app(s(), app(s(), x))) -> app#(log(), app(s(), app(app(quot(), x), app(s(), app(s(), 0()))))))
     (app#(log(), app(s(), app(s(), x))) -> app#(s(), app(s(), 0())), app#(log(), app(s(), app(s(), x))) -> app#(quot(), x))
     (app#(log(), app(s(), app(s(), x))) -> app#(s(), app(s(), 0())), app#(log(), app(s(), app(s(), x))) -> app#(s(), 0()))
     (app#(log(), app(s(), app(s(), x))) -> app#(s(), app(s(), 0())), app#(log(), app(s(), app(s(), x))) -> app#(s(), app(log(), app(s(), app(app(quot(), x), app(s(), app(s(), 0())))))))
     (app#(log(), app(s(), app(s(), x))) -> app#(s(), app(s(), 0())), app#(log(), app(s(), app(s(), x))) -> app#(s(), app(s(), 0())))
     (app#(log(), app(s(), app(s(), x))) -> app#(s(), app(s(), 0())), app#(log(), app(s(), app(s(), x))) -> app#(s(), app(app(quot(), x), app(s(), app(s(), 0())))))
     (app#(log(), app(s(), app(s(), x))) -> app#(s(), app(s(), 0())), app#(log(), app(s(), app(s(), x))) -> app#(app(quot(), x), app(s(), app(s(), 0()))))
     (app#(log(), app(s(), app(s(), x))) -> app#(s(), app(s(), 0())), app#(app(filter(), f), app(app(cons(), x), xs)) -> app#(filter2(), app(f, x)))
     (app#(log(), app(s(), app(s(), x))) -> app#(s(), app(s(), 0())), app#(app(filter(), f), app(app(cons(), x), xs)) -> app#(app(filter2(), app(f, x)), f))
     (app#(log(), app(s(), app(s(), x))) -> app#(s(), app(s(), 0())), app#(app(filter(), f), app(app(cons(), x), xs)) -> app#(app(app(filter2(), app(f, x)), f), x))
     (app#(log(), app(s(), app(s(), x))) -> app#(s(), app(s(), 0())), app#(app(filter(), f), app(app(cons(), x), xs)) -> app#(app(app(app(filter2(), app(f, x)), f), x), xs))
     (app#(log(), app(s(), app(s(), x))) -> app#(s(), app(s(), 0())), app#(app(filter(), f), app(app(cons(), x), xs)) -> app#(f, x))
     (app#(log(), app(s(), app(s(), x))) -> app#(s(), app(s(), 0())), app#(app(map(), f), app(app(cons(), x), xs)) -> app#(cons(), app(f, x)))
     (app#(log(), app(s(), app(s(), x))) -> app#(s(), app(s(), 0())), app#(app(map(), f), app(app(cons(), x), xs)) -> app#(app(cons(), app(f, x)), app(app(map(), f), xs)))
     (app#(log(), app(s(), app(s(), x))) -> app#(s(), app(s(), 0())), app#(app(map(), f), app(app(cons(), x), xs)) -> app#(app(map(), f), xs))
     (app#(log(), app(s(), app(s(), x))) -> app#(s(), app(s(), 0())), app#(app(map(), f), app(app(cons(), x), xs)) -> app#(f, x))
     (app#(log(), app(s(), app(s(), x))) -> app#(s(), app(s(), 0())), app#(app(quot(), app(s(), x)), app(s(), y)) -> app#(quot(), app(app(minus(), x), y)))
     (app#(log(), app(s(), app(s(), x))) -> app#(s(), app(s(), 0())), app#(app(quot(), app(s(), x)), app(s(), y)) -> app#(s(), app(app(quot(), app(app(minus(), x), y)), app(s(), y))))
     (app#(log(), app(s(), app(s(), x))) -> app#(s(), app(s(), 0())), app#(app(quot(), app(s(), x)), app(s(), y)) -> app#(minus(), x))
     (app#(log(), app(s(), app(s(), x))) -> app#(s(), app(s(), 0())), app#(app(quot(), app(s(), x)), app(s(), y)) -> app#(app(quot(), app(app(minus(), x), y)), app(s(), y)))
     (app#(log(), app(s(), app(s(), x))) -> app#(s(), app(s(), 0())), app#(app(quot(), app(s(), x)), app(s(), y)) -> app#(app(minus(), x), y))
     (app#(log(), app(s(), app(s(), x))) -> app#(s(), app(s(), 0())), app#(app(minus(), app(s(), x)), app(s(), y)) -> app#(minus(), x))
     (app#(log(), app(s(), app(s(), x))) -> app#(s(), app(s(), 0())), app#(app(minus(), app(s(), x)), app(s(), y)) -> app#(app(minus(), x), y))
     (app#(log(), app(s(), app(s(), x))) -> app#(s(), app(s(), 0())), app#(app(app(app(filter2(), false()), f), x), xs) -> app#(filter(), f))
     (app#(log(), app(s(), app(s(), x))) -> app#(s(), app(s(), 0())), app#(app(app(app(filter2(), false()), f), x), xs) -> app#(app(filter(), f), xs))
     (app#(log(), app(s(), app(s(), x))) -> app#(s(), app(s(), 0())), app#(app(app(app(filter2(), true()), f), x), xs) -> app#(filter(), f))
     (app#(log(), app(s(), app(s(), x))) -> app#(s(), app(s(), 0())), app#(app(app(app(filter2(), true()), f), x), xs) -> app#(cons(), x))
     (app#(log(), app(s(), app(s(), x))) -> app#(s(), app(s(), 0())), app#(app(app(app(filter2(), true()), f), x), xs) -> app#(app(filter(), f), xs))
     (app#(log(), app(s(), app(s(), x))) -> app#(s(), app(s(), 0())), 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#(log(), app(s(), app(s(), x))) -> app#(log(), app(s(), app(app(quot(), x), app(s(), app(s(), 0()))))))
     (app#(app(app(app(filter2(), true()), f), x), xs) -> app#(app(cons(), x), app(app(filter(), f), xs)), app#(log(), app(s(), app(s(), x))) -> app#(quot(), x))
     (app#(app(app(app(filter2(), true()), f), x), xs) -> app#(app(cons(), x), app(app(filter(), f), xs)), app#(log(), app(s(), app(s(), x))) -> app#(s(), 0()))
     (app#(app(app(app(filter2(), true()), f), x), xs) -> app#(app(cons(), x), app(app(filter(), f), xs)), app#(log(), app(s(), app(s(), x))) -> app#(s(), app(log(), app(s(), app(app(quot(), x), app(s(), app(s(), 0())))))))
     (app#(app(app(app(filter2(), true()), f), x), xs) -> app#(app(cons(), x), app(app(filter(), f), xs)), app#(log(), app(s(), app(s(), x))) -> app#(s(), app(s(), 0())))
     (app#(app(app(app(filter2(), true()), f), x), xs) -> app#(app(cons(), x), app(app(filter(), f), xs)), app#(log(), app(s(), app(s(), x))) -> app#(s(), app(app(quot(), x), app(s(), app(s(), 0())))))
     (app#(app(app(app(filter2(), true()), f), x), xs) -> app#(app(cons(), x), app(app(filter(), f), xs)), app#(log(), app(s(), app(s(), x))) -> app#(app(quot(), x), app(s(), app(s(), 0()))))
     (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(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(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(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(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(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(quot(), app(s(), x)), app(s(), y)) -> app#(quot(), app(app(minus(), x), y)), app#(log(), app(s(), app(s(), x))) -> app#(log(), app(s(), app(app(quot(), x), app(s(), app(s(), 0()))))))
     (app#(app(quot(), app(s(), x)), app(s(), y)) -> app#(quot(), app(app(minus(), x), y)), app#(log(), app(s(), app(s(), x))) -> app#(quot(), x))
     (app#(app(quot(), app(s(), x)), app(s(), y)) -> app#(quot(), app(app(minus(), x), y)), app#(log(), app(s(), app(s(), x))) -> app#(s(), 0()))
     (app#(app(quot(), app(s(), x)), app(s(), y)) -> app#(quot(), app(app(minus(), x), y)), app#(log(), app(s(), app(s(), x))) -> app#(s(), app(log(), app(s(), app(app(quot(), x), app(s(), app(s(), 0())))))))
     (app#(app(quot(), app(s(), x)), app(s(), y)) -> app#(quot(), app(app(minus(), x), y)), app#(log(), app(s(), app(s(), x))) -> app#(s(), app(s(), 0())))
     (app#(app(quot(), app(s(), x)), app(s(), y)) -> app#(quot(), app(app(minus(), x), y)), app#(log(), app(s(), app(s(), x))) -> app#(s(), app(app(quot(), x), app(s(), app(s(), 0())))))
     (app#(app(quot(), app(s(), x)), app(s(), y)) -> app#(quot(), app(app(minus(), x), y)), app#(log(), app(s(), app(s(), x))) -> app#(app(quot(), x), app(s(), app(s(), 0()))))
     (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#(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(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(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#(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#(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#(f, 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#(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#(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#(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#(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(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(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(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#(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#(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#(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#(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(map(), f), app(app(cons(), x), xs)) -> app#(cons(), app(f, x)), app#(log(), app(s(), app(s(), x))) -> app#(log(), app(s(), app(app(quot(), x), app(s(), app(s(), 0()))))))
     (app#(app(map(), f), app(app(cons(), x), xs)) -> app#(cons(), app(f, x)), app#(log(), app(s(), app(s(), x))) -> app#(quot(), x))
     (app#(app(map(), f), app(app(cons(), x), xs)) -> app#(cons(), app(f, x)), app#(log(), app(s(), app(s(), x))) -> app#(s(), 0()))
     (app#(app(map(), f), app(app(cons(), x), xs)) -> app#(cons(), app(f, x)), app#(log(), app(s(), app(s(), x))) -> app#(s(), app(log(), app(s(), app(app(quot(), x), app(s(), app(s(), 0())))))))
     (app#(app(map(), f), app(app(cons(), x), xs)) -> app#(cons(), app(f, x)), app#(log(), app(s(), app(s(), x))) -> app#(s(), app(s(), 0())))
     (app#(app(map(), f), app(app(cons(), x), xs)) -> app#(cons(), app(f, x)), app#(log(), app(s(), app(s(), x))) -> app#(s(), app(app(quot(), x), app(s(), app(s(), 0())))))
     (app#(app(map(), f), app(app(cons(), x), xs)) -> app#(cons(), app(f, x)), app#(log(), app(s(), app(s(), x))) -> app#(app(quot(), x), app(s(), app(s(), 0()))))
     (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(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(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(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(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(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#(app(app(app(filter2(), true()), f), x), xs) -> app#(app(filter(), f), xs), app#(log(), app(s(), app(s(), x))) -> app#(log(), app(s(), app(app(quot(), x), app(s(), app(s(), 0()))))))
     (app#(app(app(app(filter2(), true()), f), x), xs) -> app#(app(filter(), f), xs), app#(log(), app(s(), app(s(), x))) -> app#(quot(), x))
     (app#(app(app(app(filter2(), true()), f), x), xs) -> app#(app(filter(), f), xs), app#(log(), app(s(), app(s(), x))) -> app#(s(), 0()))
     (app#(app(app(app(filter2(), true()), f), x), xs) -> app#(app(filter(), f), xs), app#(log(), app(s(), app(s(), x))) -> app#(s(), app(log(), app(s(), app(app(quot(), x), app(s(), app(s(), 0())))))))
     (app#(app(app(app(filter2(), true()), f), x), xs) -> app#(app(filter(), f), xs), app#(log(), app(s(), app(s(), x))) -> app#(s(), app(s(), 0())))
     (app#(app(app(app(filter2(), true()), f), x), xs) -> app#(app(filter(), f), xs), app#(log(), app(s(), app(s(), x))) -> app#(s(), app(app(quot(), x), app(s(), app(s(), 0())))))
     (app#(app(app(app(filter2(), true()), f), x), xs) -> app#(app(filter(), f), xs), app#(log(), app(s(), app(s(), x))) -> app#(app(quot(), x), app(s(), app(s(), 0()))))
     (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(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(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(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(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(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#(f, x), app#(log(), app(s(), app(s(), x))) -> app#(log(), app(s(), app(app(quot(), x), app(s(), app(s(), 0()))))))
     (app#(app(map(), f), app(app(cons(), x), xs)) -> app#(f, x), app#(log(), app(s(), app(s(), x))) -> app#(quot(), x))
     (app#(app(map(), f), app(app(cons(), x), xs)) -> app#(f, x), app#(log(), app(s(), app(s(), x))) -> app#(s(), 0()))
     (app#(app(map(), f), app(app(cons(), x), xs)) -> app#(f, x), app#(log(), app(s(), app(s(), x))) -> app#(s(), app(log(), app(s(), app(app(quot(), x), app(s(), app(s(), 0())))))))
     (app#(app(map(), f), app(app(cons(), x), xs)) -> app#(f, x), app#(log(), app(s(), app(s(), x))) -> app#(s(), app(s(), 0())))
     (app#(app(map(), f), app(app(cons(), x), xs)) -> app#(f, x), app#(log(), app(s(), app(s(), x))) -> app#(s(), app(app(quot(), x), app(s(), app(s(), 0())))))
     (app#(app(map(), f), app(app(cons(), x), xs)) -> app#(f, x), app#(log(), app(s(), app(s(), x))) -> app#(app(quot(), x), app(s(), app(s(), 0()))))
     (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(cons(), app(f, x)), app(app(map(), f), xs)))
     (app#(app(map(), f), app(app(cons(), x), xs)) -> app#(f, x), app#(app(map(), f), app(app(cons(), x), xs)) -> app#(app(map(), f), xs))
     (app#(app(map(), f), app(app(cons(), x), xs)) -> app#(f, x), app#(app(map(), f), app(app(cons(), x), xs)) -> app#(f, x))
     (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(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(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#(log(), app(s(), app(s(), x))) -> app#(log(), app(s(), app(app(quot(), x), app(s(), app(s(), 0()))))))
     (app#(app(filter(), f), app(app(cons(), x), xs)) -> app#(f, x), app#(log(), app(s(), app(s(), x))) -> app#(quot(), x))
     (app#(app(filter(), f), app(app(cons(), x), xs)) -> app#(f, x), app#(log(), app(s(), app(s(), x))) -> app#(s(), 0()))
     (app#(app(filter(), f), app(app(cons(), x), xs)) -> app#(f, x), app#(log(), app(s(), app(s(), x))) -> app#(s(), app(log(), app(s(), app(app(quot(), x), app(s(), app(s(), 0())))))))
     (app#(app(filter(), f), app(app(cons(), x), xs)) -> app#(f, x), app#(log(), app(s(), app(s(), x))) -> app#(s(), app(s(), 0())))
     (app#(app(filter(), f), app(app(cons(), x), xs)) -> app#(f, x), app#(log(), app(s(), app(s(), x))) -> app#(s(), app(app(quot(), x), app(s(), app(s(), 0())))))
     (app#(app(filter(), f), app(app(cons(), x), xs)) -> app#(f, x), app#(log(), app(s(), app(s(), x))) -> app#(app(quot(), x), app(s(), app(s(), 0()))))
     (app#(app(filter(), f), app(app(cons(), x), xs)) -> app#(f, x), app#(app(filter(), f), app(app(cons(), x), xs)) -> app#(filter2(), app(f, x)))
     (app#(app(filter(), f), app(app(cons(), x), xs)) -> app#(f, x), app#(app(filter(), f), app(app(cons(), x), xs)) -> app#(app(filter2(), app(f, x)), f))
     (app#(app(filter(), f), app(app(cons(), x), xs)) -> app#(f, x), app#(app(filter(), f), app(app(cons(), x), xs)) -> app#(app(app(filter2(), app(f, x)), f), x))
     (app#(app(filter(), f), app(app(cons(), x), xs)) -> app#(f, x), app#(app(filter(), f), app(app(cons(), x), xs)) -> app#(app(app(app(filter2(), app(f, x)), f), x), xs))
     (app#(app(filter(), f), app(app(cons(), x), xs)) -> app#(f, x), app#(app(filter(), f), app(app(cons(), x), xs)) -> app#(f, x))
     (app#(app(filter(), f), app(app(cons(), x), xs)) -> app#(f, x), app#(app(map(), f), app(app(cons(), x), xs)) -> app#(cons(), app(f, x)))
     (app#(app(filter(), f), app(app(cons(), x), xs)) -> app#(f, x), app#(app(map(), f), app(app(cons(), x), xs)) -> app#(app(cons(), app(f, x)), app(app(map(), f), xs)))
     (app#(app(filter(), f), app(app(cons(), x), xs)) -> app#(f, x), app#(app(map(), f), app(app(cons(), x), xs)) -> app#(app(map(), f), xs))
     (app#(app(filter(), f), app(app(cons(), x), xs)) -> app#(f, x), app#(app(map(), f), app(app(cons(), x), xs)) -> app#(f, x))
     (app#(app(filter(), f), app(app(cons(), x), xs)) -> app#(f, x), app#(app(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#(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#(minus(), x))
     (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#(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(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(app(app(filter2(), false()), f), x), xs) -> app#(filter(), f))
     (app#(app(filter(), f), app(app(cons(), x), xs)) -> app#(f, x), app#(app(app(app(filter2(), false()), f), x), xs) -> app#(app(filter(), f), xs))
     (app#(app(filter(), f), app(app(cons(), x), xs)) -> app#(f, x), app#(app(app(app(filter2(), true()), f), x), xs) -> app#(filter(), f))
     (app#(app(filter(), f), app(app(cons(), x), xs)) -> app#(f, x), app#(app(app(app(filter2(), true()), f), x), xs) -> app#(cons(), x))
     (app#(app(filter(), f), app(app(cons(), x), xs)) -> app#(f, x), app#(app(app(app(filter2(), true()), f), x), xs) -> app#(app(filter(), f), xs))
     (app#(app(filter(), f), app(app(cons(), x), xs)) -> app#(f, x), app#(app(app(app(filter2(), true()), f), x), xs) -> app#(app(cons(), x), app(app(filter(), f), xs)))
     (app#(app(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(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(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(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(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(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#(log(), app(s(), app(s(), x))) -> app#(app(quot(), x), app(s(), app(s(), 0()))))
     (app#(app(filter(), f), app(app(cons(), x), xs)) -> app#(app(app(app(filter2(), app(f, x)), f), x), xs), app#(log(), app(s(), app(s(), x))) -> app#(s(), app(app(quot(), x), app(s(), app(s(), 0())))))
     (app#(app(filter(), f), app(app(cons(), x), xs)) -> app#(app(app(app(filter2(), app(f, x)), f), x), xs), app#(log(), app(s(), app(s(), x))) -> app#(s(), app(s(), 0())))
     (app#(app(filter(), f), app(app(cons(), x), xs)) -> app#(app(app(app(filter2(), app(f, x)), f), x), xs), app#(log(), app(s(), app(s(), x))) -> app#(s(), app(log(), app(s(), app(app(quot(), x), app(s(), app(s(), 0())))))))
     (app#(app(filter(), f), app(app(cons(), x), xs)) -> app#(app(app(app(filter2(), app(f, x)), f), x), xs), app#(log(), app(s(), app(s(), x))) -> app#(s(), 0()))
     (app#(app(filter(), f), app(app(cons(), x), xs)) -> app#(app(app(app(filter2(), app(f, x)), f), x), xs), app#(log(), app(s(), app(s(), x))) -> app#(quot(), x))
     (app#(app(filter(), f), app(app(cons(), x), xs)) -> app#(app(app(app(filter2(), app(f, x)), f), x), xs), app#(log(), app(s(), app(s(), x))) -> app#(log(), app(s(), app(app(quot(), x), app(s(), app(s(), 0()))))))
     (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(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#(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#(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(), false()), f), x), xs) -> app#(filter(), f))
     (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(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(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(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#(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#(quot(), app(app(minus(), x), y)))
     (app#(app(map(), f), app(app(cons(), x), xs)) -> app#(app(map(), f), xs), app#(app(map(), f), app(app(cons(), x), xs)) -> app#(f, x))
     (app#(app(map(), f), app(app(cons(), x), xs)) -> app#(app(map(), f), xs), app#(app(map(), f), app(app(cons(), x), xs)) -> app#(app(map(), f), xs))
     (app#(app(map(), f), app(app(cons(), x), xs)) -> app#(app(map(), f), xs), app#(app(map(), f), app(app(cons(), x), xs)) -> app#(app(cons(), app(f, x)), app(app(map(), f), xs)))
     (app#(app(map(), f), app(app(cons(), x), xs)) -> app#(app(map(), f), xs), app#(app(map(), f), app(app(cons(), x), xs)) -> app#(cons(), app(f, x)))
     (app#(app(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(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(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(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#(filter2(), app(f, x)))
     (app#(app(map(), f), app(app(cons(), x), xs)) -> app#(app(map(), f), xs), app#(log(), app(s(), app(s(), x))) -> app#(app(quot(), x), app(s(), app(s(), 0()))))
     (app#(app(map(), f), app(app(cons(), x), xs)) -> app#(app(map(), f), xs), app#(log(), app(s(), app(s(), x))) -> app#(s(), app(app(quot(), x), app(s(), app(s(), 0())))))
     (app#(app(map(), f), app(app(cons(), x), xs)) -> app#(app(map(), f), xs), app#(log(), app(s(), app(s(), x))) -> app#(s(), app(s(), 0())))
     (app#(app(map(), f), app(app(cons(), x), xs)) -> app#(app(map(), f), xs), app#(log(), app(s(), app(s(), x))) -> app#(s(), app(log(), app(s(), app(app(quot(), x), app(s(), app(s(), 0())))))))
     (app#(app(map(), f), app(app(cons(), x), xs)) -> app#(app(map(), f), xs), app#(log(), app(s(), app(s(), x))) -> app#(s(), 0()))
     (app#(app(map(), f), app(app(cons(), x), xs)) -> app#(app(map(), f), xs), app#(log(), app(s(), app(s(), x))) -> app#(quot(), x))
     (app#(app(map(), f), app(app(cons(), x), xs)) -> app#(app(map(), f), xs), app#(log(), app(s(), app(s(), x))) -> app#(log(), app(s(), app(app(quot(), x), app(s(), app(s(), 0()))))))
     (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(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(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(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(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#(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#(log(), app(s(), app(s(), x))) -> app#(app(quot(), x), app(s(), app(s(), 0()))))
     (app#(app(app(app(filter2(), false()), f), x), xs) -> app#(app(filter(), f), xs), app#(log(), app(s(), app(s(), x))) -> app#(s(), app(app(quot(), x), app(s(), app(s(), 0())))))
     (app#(app(app(app(filter2(), false()), f), x), xs) -> app#(app(filter(), f), xs), app#(log(), app(s(), app(s(), x))) -> app#(s(), app(s(), 0())))
     (app#(app(app(app(filter2(), false()), f), x), xs) -> app#(app(filter(), f), xs), app#(log(), app(s(), app(s(), x))) -> app#(s(), app(log(), app(s(), app(app(quot(), x), app(s(), app(s(), 0())))))))
     (app#(app(app(app(filter2(), false()), f), x), xs) -> app#(app(filter(), f), xs), app#(log(), app(s(), app(s(), x))) -> app#(s(), 0()))
     (app#(app(app(app(filter2(), false()), f), x), xs) -> app#(app(filter(), f), xs), app#(log(), app(s(), app(s(), x))) -> app#(quot(), x))
     (app#(app(app(app(filter2(), false()), f), x), xs) -> app#(app(filter(), f), xs), app#(log(), app(s(), app(s(), x))) -> app#(log(), app(s(), app(app(quot(), x), app(s(), app(s(), 0()))))))
     (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(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(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(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(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#(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#(log(), app(s(), app(s(), x))) -> app#(app(quot(), x), app(s(), app(s(), 0()))))
     (app#(app(filter(), f), app(app(cons(), x), xs)) -> app#(filter2(), app(f, x)), app#(log(), app(s(), app(s(), x))) -> app#(s(), app(app(quot(), x), app(s(), app(s(), 0())))))
     (app#(app(filter(), f), app(app(cons(), x), xs)) -> app#(filter2(), app(f, x)), app#(log(), app(s(), app(s(), x))) -> app#(s(), app(s(), 0())))
     (app#(app(filter(), f), app(app(cons(), x), xs)) -> app#(filter2(), app(f, x)), app#(log(), app(s(), app(s(), x))) -> app#(s(), app(log(), app(s(), app(app(quot(), x), app(s(), app(s(), 0())))))))
     (app#(app(filter(), f), app(app(cons(), x), xs)) -> app#(filter2(), app(f, x)), app#(log(), app(s(), app(s(), x))) -> app#(s(), 0()))
     (app#(app(filter(), f), app(app(cons(), x), xs)) -> app#(filter2(), app(f, x)), app#(log(), app(s(), app(s(), x))) -> app#(quot(), x))
     (app#(app(filter(), f), app(app(cons(), x), xs)) -> app#(filter2(), app(f, x)), app#(log(), app(s(), app(s(), x))) -> app#(log(), app(s(), app(app(quot(), x), app(s(), app(s(), 0()))))))
     (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(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(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(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#(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#(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#(log(), app(s(), app(s(), x))) -> app#(app(quot(), x), app(s(), app(s(), 0()))))
     (app#(app(map(), f), app(app(cons(), x), xs)) -> app#(app(cons(), app(f, x)), app(app(map(), f), xs)), app#(log(), app(s(), app(s(), x))) -> app#(s(), app(app(quot(), x), app(s(), app(s(), 0())))))
     (app#(app(map(), f), app(app(cons(), x), xs)) -> app#(app(cons(), app(f, x)), app(app(map(), f), xs)), app#(log(), app(s(), app(s(), x))) -> app#(s(), app(s(), 0())))
     (app#(app(map(), f), app(app(cons(), x), xs)) -> app#(app(cons(), app(f, x)), app(app(map(), f), xs)), app#(log(), app(s(), app(s(), x))) -> app#(s(), app(log(), app(s(), app(app(quot(), x), app(s(), app(s(), 0())))))))
     (app#(app(map(), f), app(app(cons(), x), xs)) -> app#(app(cons(), app(f, x)), app(app(map(), f), xs)), app#(log(), app(s(), app(s(), x))) -> app#(s(), 0()))
     (app#(app(map(), f), app(app(cons(), x), xs)) -> app#(app(cons(), app(f, x)), app(app(map(), f), xs)), app#(log(), app(s(), app(s(), x))) -> app#(quot(), x))
     (app#(app(map(), f), app(app(cons(), x), xs)) -> app#(app(cons(), app(f, x)), app(app(map(), f), xs)), app#(log(), app(s(), app(s(), x))) -> app#(log(), app(s(), app(app(quot(), x), app(s(), app(s(), 0()))))))
     (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(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#(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#(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(), 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(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#(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(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(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#(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#(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(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#(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#(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(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#(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(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(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#(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#(log(), app(s(), app(s(), x))) -> app#(app(quot(), x), app(s(), app(s(), 0()))))
     (app#(app(quot(), app(s(), x)), app(s(), y)) -> app#(app(quot(), app(app(minus(), x), y)), app(s(), y)), app#(log(), app(s(), app(s(), x))) -> app#(s(), app(app(quot(), x), app(s(), app(s(), 0())))))
     (app#(app(quot(), app(s(), x)), app(s(), y)) -> app#(app(quot(), app(app(minus(), x), y)), app(s(), y)), app#(log(), app(s(), app(s(), x))) -> app#(s(), app(s(), 0())))
     (app#(app(quot(), app(s(), x)), app(s(), y)) -> app#(app(quot(), app(app(minus(), x), y)), app(s(), y)), app#(log(), app(s(), app(s(), x))) -> app#(s(), app(log(), app(s(), app(app(quot(), x), app(s(), app(s(), 0())))))))
     (app#(app(quot(), app(s(), x)), app(s(), y)) -> app#(app(quot(), app(app(minus(), x), y)), app(s(), y)), app#(log(), app(s(), app(s(), x))) -> app#(s(), 0()))
     (app#(app(quot(), app(s(), x)), app(s(), y)) -> app#(app(quot(), app(app(minus(), x), y)), app(s(), y)), app#(log(), app(s(), app(s(), x))) -> app#(quot(), x))
     (app#(app(quot(), app(s(), x)), app(s(), y)) -> app#(app(quot(), app(app(minus(), x), y)), app(s(), y)), app#(log(), app(s(), app(s(), x))) -> app#(log(), app(s(), app(app(quot(), x), app(s(), app(s(), 0()))))))
     (app#(log(), app(s(), app(s(), x))) -> app#(s(), 0()), app#(app(app(app(filter2(), true()), f), x), xs) -> app#(app(cons(), x), app(app(filter(), f), xs)))
     (app#(log(), app(s(), app(s(), x))) -> app#(s(), 0()), app#(app(app(app(filter2(), true()), f), x), xs) -> app#(app(filter(), f), xs))
     (app#(log(), app(s(), app(s(), x))) -> app#(s(), 0()), app#(app(app(app(filter2(), true()), f), x), xs) -> app#(cons(), x))
     (app#(log(), app(s(), app(s(), x))) -> app#(s(), 0()), app#(app(app(app(filter2(), true()), f), x), xs) -> app#(filter(), f))
     (app#(log(), app(s(), app(s(), x))) -> app#(s(), 0()), app#(app(app(app(filter2(), false()), f), x), xs) -> app#(app(filter(), f), xs))
     (app#(log(), app(s(), app(s(), x))) -> app#(s(), 0()), app#(app(app(app(filter2(), false()), f), x), xs) -> app#(filter(), f))
     (app#(log(), app(s(), app(s(), x))) -> app#(s(), 0()), app#(app(minus(), app(s(), x)), app(s(), y)) -> app#(app(minus(), x), y))
     (app#(log(), app(s(), app(s(), x))) -> app#(s(), 0()), app#(app(minus(), app(s(), x)), app(s(), y)) -> app#(minus(), x))
     (app#(log(), app(s(), app(s(), x))) -> app#(s(), 0()), app#(app(quot(), app(s(), x)), app(s(), y)) -> app#(app(minus(), x), y))
     (app#(log(), app(s(), app(s(), x))) -> app#(s(), 0()), app#(app(quot(), app(s(), x)), app(s(), y)) -> app#(app(quot(), app(app(minus(), x), y)), app(s(), y)))
     (app#(log(), app(s(), app(s(), x))) -> app#(s(), 0()), app#(app(quot(), app(s(), x)), app(s(), y)) -> app#(minus(), x))
     (app#(log(), app(s(), app(s(), x))) -> app#(s(), 0()), app#(app(quot(), app(s(), x)), app(s(), y)) -> app#(s(), app(app(quot(), app(app(minus(), x), y)), app(s(), y))))
     (app#(log(), app(s(), app(s(), x))) -> app#(s(), 0()), app#(app(quot(), app(s(), x)), app(s(), y)) -> app#(quot(), app(app(minus(), x), y)))
     (app#(log(), app(s(), app(s(), x))) -> app#(s(), 0()), app#(app(map(), f), app(app(cons(), x), xs)) -> app#(f, x))
     (app#(log(), app(s(), app(s(), x))) -> app#(s(), 0()), app#(app(map(), f), app(app(cons(), x), xs)) -> app#(app(map(), f), xs))
     (app#(log(), app(s(), app(s(), x))) -> app#(s(), 0()), app#(app(map(), f), app(app(cons(), x), xs)) -> app#(app(cons(), app(f, x)), app(app(map(), f), xs)))
     (app#(log(), app(s(), app(s(), x))) -> app#(s(), 0()), app#(app(map(), f), app(app(cons(), x), xs)) -> app#(cons(), app(f, x)))
     (app#(log(), app(s(), app(s(), x))) -> app#(s(), 0()), app#(app(filter(), f), app(app(cons(), x), xs)) -> app#(f, x))
     (app#(log(), app(s(), app(s(), x))) -> app#(s(), 0()), app#(app(filter(), f), app(app(cons(), x), xs)) -> app#(app(app(app(filter2(), app(f, x)), f), x), xs))
     (app#(log(), app(s(), app(s(), x))) -> app#(s(), 0()), app#(app(filter(), f), app(app(cons(), x), xs)) -> app#(app(app(filter2(), app(f, x)), f), x))
     (app#(log(), app(s(), app(s(), x))) -> app#(s(), 0()), app#(app(filter(), f), app(app(cons(), x), xs)) -> app#(app(filter2(), app(f, x)), f))
     (app#(log(), app(s(), app(s(), x))) -> app#(s(), 0()), app#(app(filter(), f), app(app(cons(), x), xs)) -> app#(filter2(), app(f, x)))
     (app#(log(), app(s(), app(s(), x))) -> app#(s(), 0()), app#(log(), app(s(), app(s(), x))) -> app#(app(quot(), x), app(s(), app(s(), 0()))))
     (app#(log(), app(s(), app(s(), x))) -> app#(s(), 0()), app#(log(), app(s(), app(s(), x))) -> app#(s(), app(app(quot(), x), app(s(), app(s(), 0())))))
     (app#(log(), app(s(), app(s(), x))) -> app#(s(), 0()), app#(log(), app(s(), app(s(), x))) -> app#(s(), app(s(), 0())))
     (app#(log(), app(s(), app(s(), x))) -> app#(s(), 0()), app#(log(), app(s(), app(s(), x))) -> app#(s(), app(log(), app(s(), app(app(quot(), x), app(s(), app(s(), 0())))))))
     (app#(log(), app(s(), app(s(), x))) -> app#(s(), 0()), app#(log(), app(s(), app(s(), x))) -> app#(s(), 0()))
     (app#(log(), app(s(), app(s(), x))) -> app#(s(), 0()), app#(log(), app(s(), app(s(), x))) -> app#(quot(), x))
     (app#(log(), app(s(), app(s(), x))) -> app#(s(), 0()), app#(log(), app(s(), app(s(), x))) -> app#(log(), app(s(), app(app(quot(), x), app(s(), app(s(), 0()))))))
     (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(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#(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#(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(), 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(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#(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(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(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#(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#(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(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#(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#(cons(), app(f, x)))
     (app#(app(filter(), f), app(app(cons(), x), xs)) -> app#(app(app(filter2(), app(f, x)), f), x), app#(app(filter(), f), app(app(cons(), x), xs)) -> app#(f, x))
     (app#(app(filter(), f), app(app(cons(), x), xs)) -> app#(app(app(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#(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(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#(filter2(), app(f, x)))
     (app#(app(filter(), f), app(app(cons(), x), xs)) -> app#(app(app(filter2(), app(f, x)), f), x), app#(log(), app(s(), app(s(), x))) -> app#(app(quot(), x), app(s(), app(s(), 0()))))
     (app#(app(filter(), f), app(app(cons(), x), xs)) -> app#(app(app(filter2(), app(f, x)), f), x), app#(log(), app(s(), app(s(), x))) -> app#(s(), app(app(quot(), x), app(s(), app(s(), 0())))))
     (app#(app(filter(), f), app(app(cons(), x), xs)) -> app#(app(app(filter2(), app(f, x)), f), x), app#(log(), app(s(), app(s(), x))) -> app#(s(), app(s(), 0())))
     (app#(app(filter(), f), app(app(cons(), x), xs)) -> app#(app(app(filter2(), app(f, x)), f), x), app#(log(), app(s(), app(s(), x))) -> app#(s(), app(log(), app(s(), app(app(quot(), x), app(s(), app(s(), 0())))))))
     (app#(app(filter(), f), app(app(cons(), x), xs)) -> app#(app(app(filter2(), app(f, x)), f), x), app#(log(), app(s(), app(s(), x))) -> app#(s(), 0()))
     (app#(app(filter(), f), app(app(cons(), x), xs)) -> app#(app(app(filter2(), app(f, x)), f), x), app#(log(), app(s(), app(s(), x))) -> app#(quot(), x))
     (app#(app(filter(), f), app(app(cons(), x), xs)) -> app#(app(app(filter2(), app(f, x)), f), x), app#(log(), app(s(), app(s(), x))) -> app#(log(), app(s(), app(app(quot(), x), app(s(), app(s(), 0()))))))
     (app#(log(), app(s(), app(s(), x))) -> app#(s(), app(log(), app(s(), app(app(quot(), x), app(s(), app(s(), 0())))))), app#(app(app(app(filter2(), true()), f), x), xs) -> app#(app(cons(), x), app(app(filter(), f), xs)))
     (app#(log(), app(s(), app(s(), x))) -> app#(s(), app(log(), app(s(), app(app(quot(), x), app(s(), app(s(), 0())))))), app#(app(app(app(filter2(), true()), f), x), xs) -> app#(app(filter(), f), xs))
     (app#(log(), app(s(), app(s(), x))) -> app#(s(), app(log(), app(s(), app(app(quot(), x), app(s(), app(s(), 0())))))), app#(app(app(app(filter2(), true()), f), x), xs) -> app#(cons(), x))
     (app#(log(), app(s(), app(s(), x))) -> app#(s(), app(log(), app(s(), app(app(quot(), x), app(s(), app(s(), 0())))))), app#(app(app(app(filter2(), true()), f), x), xs) -> app#(filter(), f))
     (app#(log(), app(s(), app(s(), x))) -> app#(s(), app(log(), app(s(), app(app(quot(), x), app(s(), app(s(), 0())))))), app#(app(app(app(filter2(), false()), f), x), xs) -> app#(app(filter(), f), xs))
     (app#(log(), app(s(), app(s(), x))) -> app#(s(), app(log(), app(s(), app(app(quot(), x), app(s(), app(s(), 0())))))), app#(app(app(app(filter2(), false()), f), x), xs) -> app#(filter(), f))
     (app#(log(), app(s(), app(s(), x))) -> app#(s(), app(log(), app(s(), app(app(quot(), x), app(s(), app(s(), 0())))))), app#(app(minus(), app(s(), x)), app(s(), y)) -> app#(app(minus(), x), y))
     (app#(log(), app(s(), app(s(), x))) -> app#(s(), app(log(), app(s(), app(app(quot(), x), app(s(), app(s(), 0())))))), app#(app(minus(), app(s(), x)), app(s(), y)) -> app#(minus(), x))
     (app#(log(), app(s(), app(s(), x))) -> app#(s(), app(log(), app(s(), app(app(quot(), x), app(s(), app(s(), 0())))))), app#(app(quot(), app(s(), x)), app(s(), y)) -> app#(app(minus(), x), y))
     (app#(log(), app(s(), app(s(), x))) -> app#(s(), app(log(), app(s(), app(app(quot(), x), app(s(), app(s(), 0())))))), app#(app(quot(), app(s(), x)), app(s(), y)) -> app#(app(quot(), app(app(minus(), x), y)), app(s(), y)))
     (app#(log(), app(s(), app(s(), x))) -> app#(s(), app(log(), app(s(), app(app(quot(), x), app(s(), app(s(), 0())))))), app#(app(quot(), app(s(), x)), app(s(), y)) -> app#(minus(), x))
     (app#(log(), app(s(), app(s(), x))) -> app#(s(), app(log(), app(s(), app(app(quot(), x), app(s(), app(s(), 0())))))), app#(app(quot(), app(s(), x)), app(s(), y)) -> app#(s(), app(app(quot(), app(app(minus(), x), y)), app(s(), y))))
     (app#(log(), app(s(), app(s(), x))) -> app#(s(), app(log(), app(s(), app(app(quot(), x), app(s(), app(s(), 0())))))), app#(app(quot(), app(s(), x)), app(s(), y)) -> app#(quot(), app(app(minus(), x), y)))
     (app#(log(), app(s(), app(s(), x))) -> app#(s(), app(log(), app(s(), app(app(quot(), x), app(s(), app(s(), 0())))))), app#(app(map(), f), app(app(cons(), x), xs)) -> app#(f, x))
     (app#(log(), app(s(), app(s(), x))) -> app#(s(), app(log(), app(s(), app(app(quot(), x), app(s(), app(s(), 0())))))), app#(app(map(), f), app(app(cons(), x), xs)) -> app#(app(map(), f), xs))
     (app#(log(), app(s(), app(s(), x))) -> app#(s(), app(log(), app(s(), app(app(quot(), x), app(s(), app(s(), 0())))))), app#(app(map(), f), app(app(cons(), x), xs)) -> app#(app(cons(), app(f, x)), app(app(map(), f), xs)))
     (app#(log(), app(s(), app(s(), x))) -> app#(s(), app(log(), app(s(), app(app(quot(), x), app(s(), app(s(), 0())))))), app#(app(map(), f), app(app(cons(), x), xs)) -> app#(cons(), app(f, x)))
     (app#(log(), app(s(), app(s(), x))) -> app#(s(), app(log(), app(s(), app(app(quot(), x), app(s(), app(s(), 0())))))), app#(app(filter(), f), app(app(cons(), x), xs)) -> app#(f, x))
     (app#(log(), app(s(), app(s(), x))) -> app#(s(), app(log(), app(s(), app(app(quot(), x), app(s(), app(s(), 0())))))), app#(app(filter(), f), app(app(cons(), x), xs)) -> app#(app(app(app(filter2(), app(f, x)), f), x), xs))
     (app#(log(), app(s(), app(s(), x))) -> app#(s(), app(log(), app(s(), app(app(quot(), x), app(s(), app(s(), 0())))))), app#(app(filter(), f), app(app(cons(), x), xs)) -> app#(app(app(filter2(), app(f, x)), f), x))
     (app#(log(), app(s(), app(s(), x))) -> app#(s(), app(log(), app(s(), app(app(quot(), x), app(s(), app(s(), 0())))))), app#(app(filter(), f), app(app(cons(), x), xs)) -> app#(app(filter2(), app(f, x)), f))
     (app#(log(), app(s(), app(s(), x))) -> app#(s(), app(log(), app(s(), app(app(quot(), x), app(s(), app(s(), 0())))))), app#(app(filter(), f), app(app(cons(), x), xs)) -> app#(filter2(), app(f, x)))
     (app#(log(), app(s(), app(s(), x))) -> app#(s(), app(log(), app(s(), app(app(quot(), x), app(s(), app(s(), 0())))))), app#(log(), app(s(), app(s(), x))) -> app#(app(quot(), x), app(s(), app(s(), 0()))))
     (app#(log(), app(s(), app(s(), x))) -> app#(s(), app(log(), app(s(), app(app(quot(), x), app(s(), app(s(), 0())))))), app#(log(), app(s(), app(s(), x))) -> app#(s(), app(app(quot(), x), app(s(), app(s(), 0())))))
     (app#(log(), app(s(), app(s(), x))) -> app#(s(), app(log(), app(s(), app(app(quot(), x), app(s(), app(s(), 0())))))), app#(log(), app(s(), app(s(), x))) -> app#(s(), app(s(), 0())))
     (app#(log(), app(s(), app(s(), x))) -> app#(s(), app(log(), app(s(), app(app(quot(), x), app(s(), app(s(), 0())))))), app#(log(), app(s(), app(s(), x))) -> app#(s(), app(log(), app(s(), app(app(quot(), x), app(s(), app(s(), 0())))))))
     (app#(log(), app(s(), app(s(), x))) -> app#(s(), app(log(), app(s(), app(app(quot(), x), app(s(), app(s(), 0())))))), app#(log(), app(s(), app(s(), x))) -> app#(s(), 0()))
     (app#(log(), app(s(), app(s(), x))) -> app#(s(), app(log(), app(s(), app(app(quot(), x), app(s(), app(s(), 0())))))), app#(log(), app(s(), app(s(), x))) -> app#(quot(), x))
     (app#(log(), app(s(), app(s(), x))) -> app#(s(), app(log(), app(s(), app(app(quot(), x), app(s(), app(s(), 0())))))), app#(log(), app(s(), app(s(), x))) -> app#(log(), app(s(), app(app(quot(), x), app(s(), app(s(), 0()))))))
     (app#(log(), app(s(), app(s(), x))) -> app#(app(quot(), x), app(s(), app(s(), 0()))), app#(app(app(app(filter2(), true()), f), x), xs) -> app#(app(cons(), x), app(app(filter(), f), xs)))
     (app#(log(), app(s(), app(s(), x))) -> app#(app(quot(), x), app(s(), app(s(), 0()))), app#(app(app(app(filter2(), true()), f), x), xs) -> app#(app(filter(), f), xs))
     (app#(log(), app(s(), app(s(), x))) -> app#(app(quot(), x), app(s(), app(s(), 0()))), app#(app(app(app(filter2(), true()), f), x), xs) -> app#(cons(), x))
     (app#(log(), app(s(), app(s(), x))) -> app#(app(quot(), x), app(s(), app(s(), 0()))), app#(app(app(app(filter2(), true()), f), x), xs) -> app#(filter(), f))
     (app#(log(), app(s(), app(s(), x))) -> app#(app(quot(), x), app(s(), app(s(), 0()))), app#(app(app(app(filter2(), false()), f), x), xs) -> app#(app(filter(), f), xs))
     (app#(log(), app(s(), app(s(), x))) -> app#(app(quot(), x), app(s(), app(s(), 0()))), app#(app(app(app(filter2(), false()), f), x), xs) -> app#(filter(), f))
     (app#(log(), app(s(), app(s(), x))) -> app#(app(quot(), x), app(s(), app(s(), 0()))), app#(app(minus(), app(s(), x)), app(s(), y)) -> app#(app(minus(), x), y))
     (app#(log(), app(s(), app(s(), x))) -> app#(app(quot(), x), app(s(), app(s(), 0()))), app#(app(minus(), app(s(), x)), app(s(), y)) -> app#(minus(), x))
     (app#(log(), app(s(), app(s(), x))) -> app#(app(quot(), x), app(s(), app(s(), 0()))), app#(app(quot(), app(s(), x)), app(s(), y)) -> app#(app(minus(), x), y))
     (app#(log(), app(s(), app(s(), x))) -> app#(app(quot(), x), app(s(), app(s(), 0()))), app#(app(quot(), app(s(), x)), app(s(), y)) -> app#(app(quot(), app(app(minus(), x), y)), app(s(), y)))
     (app#(log(), app(s(), app(s(), x))) -> app#(app(quot(), x), app(s(), app(s(), 0()))), app#(app(quot(), app(s(), x)), app(s(), y)) -> app#(minus(), x))
     (app#(log(), app(s(), app(s(), x))) -> app#(app(quot(), x), app(s(), app(s(), 0()))), app#(app(quot(), app(s(), x)), app(s(), y)) -> app#(s(), app(app(quot(), app(app(minus(), x), y)), app(s(), y))))
     (app#(log(), app(s(), app(s(), x))) -> app#(app(quot(), x), app(s(), app(s(), 0()))), app#(app(quot(), app(s(), x)), app(s(), y)) -> app#(quot(), app(app(minus(), x), y)))
     (app#(log(), app(s(), app(s(), x))) -> app#(app(quot(), x), app(s(), app(s(), 0()))), app#(app(map(), f), app(app(cons(), x), xs)) -> app#(f, x))
     (app#(log(), app(s(), app(s(), x))) -> app#(app(quot(), x), app(s(), app(s(), 0()))), app#(app(map(), f), app(app(cons(), x), xs)) -> app#(app(map(), f), xs))
     (app#(log(), app(s(), app(s(), x))) -> app#(app(quot(), x), app(s(), app(s(), 0()))), app#(app(map(), f), app(app(cons(), x), xs)) -> app#(app(cons(), app(f, x)), app(app(map(), f), xs)))
     (app#(log(), app(s(), app(s(), x))) -> app#(app(quot(), x), app(s(), app(s(), 0()))), app#(app(map(), f), app(app(cons(), x), xs)) -> app#(cons(), app(f, x)))
     (app#(log(), app(s(), app(s(), x))) -> app#(app(quot(), x), app(s(), app(s(), 0()))), app#(app(filter(), f), app(app(cons(), x), xs)) -> app#(f, x))
     (app#(log(), app(s(), app(s(), x))) -> app#(app(quot(), x), app(s(), app(s(), 0()))), app#(app(filter(), f), app(app(cons(), x), xs)) -> app#(app(app(app(filter2(), app(f, x)), f), x), xs))
     (app#(log(), app(s(), app(s(), x))) -> app#(app(quot(), x), app(s(), app(s(), 0()))), app#(app(filter(), f), app(app(cons(), x), xs)) -> app#(app(app(filter2(), app(f, x)), f), x))
     (app#(log(), app(s(), app(s(), x))) -> app#(app(quot(), x), app(s(), app(s(), 0()))), app#(app(filter(), f), app(app(cons(), x), xs)) -> app#(app(filter2(), app(f, x)), f))
     (app#(log(), app(s(), app(s(), x))) -> app#(app(quot(), x), app(s(), app(s(), 0()))), app#(app(filter(), f), app(app(cons(), x), xs)) -> app#(filter2(), app(f, x)))
     (app#(log(), app(s(), app(s(), x))) -> app#(app(quot(), x), app(s(), app(s(), 0()))), app#(log(), app(s(), app(s(), x))) -> app#(app(quot(), x), app(s(), app(s(), 0()))))
     (app#(log(), app(s(), app(s(), x))) -> app#(app(quot(), x), app(s(), app(s(), 0()))), app#(log(), app(s(), app(s(), x))) -> app#(s(), app(app(quot(), x), app(s(), app(s(), 0())))))
     (app#(log(), app(s(), app(s(), x))) -> app#(app(quot(), x), app(s(), app(s(), 0()))), app#(log(), app(s(), app(s(), x))) -> app#(s(), app(s(), 0())))
     (app#(log(), app(s(), app(s(), x))) -> app#(app(quot(), x), app(s(), app(s(), 0()))), app#(log(), app(s(), app(s(), x))) -> app#(s(), app(log(), app(s(), app(app(quot(), x), app(s(), app(s(), 0())))))))
     (app#(log(), app(s(), app(s(), x))) -> app#(app(quot(), x), app(s(), app(s(), 0()))), app#(log(), app(s(), app(s(), x))) -> app#(s(), 0()))
     (app#(log(), app(s(), app(s(), x))) -> app#(app(quot(), x), app(s(), app(s(), 0()))), app#(log(), app(s(), app(s(), x))) -> app#(quot(), x))
     (app#(log(), app(s(), app(s(), x))) -> app#(app(quot(), x), app(s(), app(s(), 0()))), app#(log(), app(s(), app(s(), x))) -> app#(log(), app(s(), app(app(quot(), x), app(s(), app(s(), 0()))))))
     (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(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(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(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(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(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#(log(), app(s(), app(s(), x))) -> app#(app(quot(), x), app(s(), app(s(), 0()))))
     (app#(app(quot(), app(s(), x)), app(s(), y)) -> app#(app(minus(), x), y), app#(log(), app(s(), app(s(), x))) -> app#(s(), app(app(quot(), x), app(s(), app(s(), 0())))))
     (app#(app(quot(), app(s(), x)), app(s(), y)) -> app#(app(minus(), x), y), app#(log(), app(s(), app(s(), x))) -> app#(s(), app(s(), 0())))
     (app#(app(quot(), app(s(), x)), app(s(), y)) -> app#(app(minus(), x), y), app#(log(), app(s(), app(s(), x))) -> app#(s(), app(log(), app(s(), app(app(quot(), x), app(s(), app(s(), 0())))))))
     (app#(app(quot(), app(s(), x)), app(s(), y)) -> app#(app(minus(), x), y), app#(log(), app(s(), app(s(), x))) -> app#(s(), 0()))
     (app#(app(quot(), app(s(), x)), app(s(), y)) -> app#(app(minus(), x), y), app#(log(), app(s(), app(s(), x))) -> app#(quot(), x))
     (app#(app(quot(), app(s(), x)), app(s(), y)) -> app#(app(minus(), x), y), app#(log(), app(s(), app(s(), x))) -> app#(log(), app(s(), app(app(quot(), x), app(s(), app(s(), 0()))))))
     (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(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(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(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(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(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#(log(), app(s(), app(s(), x))) -> app#(app(quot(), x), app(s(), app(s(), 0()))))
     (app#(app(app(app(filter2(), false()), f), x), xs) -> app#(filter(), f), app#(log(), app(s(), app(s(), x))) -> app#(s(), app(app(quot(), x), app(s(), app(s(), 0())))))
     (app#(app(app(app(filter2(), false()), f), x), xs) -> app#(filter(), f), app#(log(), app(s(), app(s(), x))) -> app#(s(), app(s(), 0())))
     (app#(app(app(app(filter2(), false()), f), x), xs) -> app#(filter(), f), app#(log(), app(s(), app(s(), x))) -> app#(s(), app(log(), app(s(), app(app(quot(), x), app(s(), app(s(), 0())))))))
     (app#(app(app(app(filter2(), false()), f), x), xs) -> app#(filter(), f), app#(log(), app(s(), app(s(), x))) -> app#(s(), 0()))
     (app#(app(app(app(filter2(), false()), f), x), xs) -> app#(filter(), f), app#(log(), app(s(), app(s(), x))) -> app#(quot(), x))
     (app#(app(app(app(filter2(), false()), f), x), xs) -> app#(filter(), f), app#(log(), app(s(), app(s(), x))) -> app#(log(), app(s(), app(app(quot(), x), app(s(), app(s(), 0()))))))
     (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(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(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(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(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#(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#(log(), app(s(), app(s(), x))) -> app#(app(quot(), x), app(s(), app(s(), 0()))))
     (app#(app(filter(), f), app(app(cons(), x), xs)) -> app#(app(filter2(), app(f, x)), f), app#(log(), app(s(), app(s(), x))) -> app#(s(), app(app(quot(), x), app(s(), app(s(), 0())))))
     (app#(app(filter(), f), app(app(cons(), x), xs)) -> app#(app(filter2(), app(f, x)), f), app#(log(), app(s(), app(s(), x))) -> app#(s(), app(s(), 0())))
     (app#(app(filter(), f), app(app(cons(), x), xs)) -> app#(app(filter2(), app(f, x)), f), app#(log(), app(s(), app(s(), x))) -> app#(s(), app(log(), app(s(), app(app(quot(), x), app(s(), app(s(), 0())))))))
     (app#(app(filter(), f), app(app(cons(), x), xs)) -> app#(app(filter2(), app(f, x)), f), app#(log(), app(s(), app(s(), x))) -> app#(s(), 0()))
     (app#(app(filter(), f), app(app(cons(), x), xs)) -> app#(app(filter2(), app(f, x)), f), app#(log(), app(s(), app(s(), x))) -> app#(quot(), x))
     (app#(app(filter(), f), app(app(cons(), x), xs)) -> app#(app(filter2(), app(f, x)), f), app#(log(), app(s(), app(s(), x))) -> app#(log(), app(s(), app(app(quot(), x), app(s(), app(s(), 0()))))))
     (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#(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))
     (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#(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(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#(minus(), 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(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(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#(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#(log(), app(s(), app(s(), x))) -> app#(app(quot(), x), app(s(), app(s(), 0()))))
     (app#(app(quot(), app(s(), x)), app(s(), y)) -> app#(minus(), x), app#(log(), app(s(), app(s(), x))) -> app#(s(), app(app(quot(), x), app(s(), app(s(), 0())))))
     (app#(app(quot(), app(s(), x)), app(s(), y)) -> app#(minus(), x), app#(log(), app(s(), app(s(), x))) -> app#(s(), app(s(), 0())))
     (app#(app(quot(), app(s(), x)), app(s(), y)) -> app#(minus(), x), app#(log(), app(s(), app(s(), x))) -> app#(s(), app(log(), app(s(), app(app(quot(), x), app(s(), app(s(), 0())))))))
     (app#(app(quot(), app(s(), x)), app(s(), y)) -> app#(minus(), x), app#(log(), app(s(), app(s(), x))) -> app#(s(), 0()))
     (app#(app(quot(), app(s(), x)), app(s(), y)) -> app#(minus(), x), app#(log(), app(s(), app(s(), x))) -> app#(quot(), x))
     (app#(app(quot(), app(s(), x)), app(s(), y)) -> app#(minus(), x), app#(log(), app(s(), app(s(), x))) -> app#(log(), app(s(), app(app(quot(), x), app(s(), app(s(), 0()))))))
     (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#(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#(cons(), x), app#(app(app(app(filter2(), true()), f), x), xs) -> app#(cons(), x))
     (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(), 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#(filter(), f))
     (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(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(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(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#(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#(quot(), app(app(minus(), x), y)))
     (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(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#(cons(), 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#(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#(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(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#(filter2(), app(f, x)))
     (app#(app(app(app(filter2(), true()), f), x), xs) -> app#(cons(), x), app#(log(), app(s(), app(s(), x))) -> app#(app(quot(), x), app(s(), app(s(), 0()))))
     (app#(app(app(app(filter2(), true()), f), x), xs) -> app#(cons(), x), app#(log(), app(s(), app(s(), x))) -> app#(s(), app(app(quot(), x), app(s(), app(s(), 0())))))
     (app#(app(app(app(filter2(), true()), f), x), xs) -> app#(cons(), x), app#(log(), app(s(), app(s(), x))) -> app#(s(), app(s(), 0())))
     (app#(app(app(app(filter2(), true()), f), x), xs) -> app#(cons(), x), app#(log(), app(s(), app(s(), x))) -> app#(s(), app(log(), app(s(), app(app(quot(), x), app(s(), app(s(), 0())))))))
     (app#(app(app(app(filter2(), true()), f), x), xs) -> app#(cons(), x), app#(log(), app(s(), app(s(), x))) -> app#(s(), 0()))
     (app#(app(app(app(filter2(), true()), f), x), xs) -> app#(cons(), x), app#(log(), app(s(), app(s(), x))) -> app#(quot(), x))
     (app#(app(app(app(filter2(), true()), f), x), xs) -> app#(cons(), x), app#(log(), app(s(), app(s(), x))) -> app#(log(), app(s(), app(app(quot(), x), app(s(), app(s(), 0()))))))
    }
    STATUS:
     arrows: 0.000000
     SCCS (1):
      Scc:
       { 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(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(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(map(), f), app(app(cons(), x), xs)) -> app#(f, x),
             app#(app(map(), f), app(app(cons(), x), xs)) -> app#(app(map(), f), xs),
             app#(app(map(), f), app(app(cons(), x), xs)) -> app#(app(cons(), app(f, x)), app(app(map(), f), xs)),
             app#(app(map(), f), app(app(cons(), x), xs)) -> app#(cons(), app(f, x)),
          app#(app(filter(), f), app(app(cons(), x), xs)) -> app#(f, x),
          app#(app(filter(), f), app(app(cons(), x), xs)) -> app#(app(app(app(filter2(), app(f, x)), f), x), xs),
          app#(app(filter(), f), app(app(cons(), x), xs)) -> app#(app(app(filter2(), app(f, x)), f), x),
          app#(app(filter(), f), app(app(cons(), x), xs)) -> app#(app(filter2(), app(f, x)), f),
          app#(app(filter(), f), app(app(cons(), x), xs)) -> app#(filter2(), app(f, x)),
                       app#(log(), app(s(), app(s(), x))) -> app#(app(quot(), x), app(s(), app(s(), 0()))),
                       app#(log(), app(s(), app(s(), x))) -> app#(s(), app(app(quot(), x), app(s(), app(s(), 0())))),
                       app#(log(), app(s(), app(s(), x))) -> app#(s(), app(s(), 0())),
                       app#(log(), app(s(), app(s(), x))) -> app#(s(), app(log(), app(s(), app(app(quot(), x), app(s(), app(s(), 0())))))),
                       app#(log(), app(s(), app(s(), x))) -> app#(s(), 0()),
                       app#(log(), app(s(), app(s(), x))) -> app#(quot(), x),
                       app#(log(), app(s(), app(s(), x))) -> app#(log(), app(s(), app(app(quot(), x), app(s(), app(s(), 0())))))}
      
      SCC (29):
       Strict:
        { 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(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(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(map(), f), app(app(cons(), x), xs)) -> app#(f, x),
              app#(app(map(), f), app(app(cons(), x), xs)) -> app#(app(map(), f), xs),
              app#(app(map(), f), app(app(cons(), x), xs)) -> app#(app(cons(), app(f, x)), app(app(map(), f), xs)),
              app#(app(map(), f), app(app(cons(), x), xs)) -> app#(cons(), app(f, x)),
           app#(app(filter(), f), app(app(cons(), x), xs)) -> app#(f, x),
           app#(app(filter(), f), app(app(cons(), x), xs)) -> app#(app(app(app(filter2(), app(f, x)), f), x), xs),
           app#(app(filter(), f), app(app(cons(), x), xs)) -> app#(app(app(filter2(), app(f, x)), f), x),
           app#(app(filter(), f), app(app(cons(), x), xs)) -> app#(app(filter2(), app(f, x)), f),
           app#(app(filter(), f), app(app(cons(), x), xs)) -> app#(filter2(), app(f, x)),
                        app#(log(), app(s(), app(s(), x))) -> app#(app(quot(), x), app(s(), app(s(), 0()))),
                        app#(log(), app(s(), app(s(), x))) -> app#(s(), app(app(quot(), x), app(s(), app(s(), 0())))),
                        app#(log(), app(s(), app(s(), x))) -> app#(s(), app(s(), 0())),
                        app#(log(), app(s(), app(s(), x))) -> app#(s(), app(log(), app(s(), app(app(quot(), x), app(s(), app(s(), 0())))))),
                        app#(log(), app(s(), app(s(), x))) -> app#(s(), 0()),
                        app#(log(), app(s(), app(s(), x))) -> app#(quot(), x),
                        app#(log(), app(s(), app(s(), x))) -> app#(log(), app(s(), app(app(quot(), x), app(s(), app(s(), 0())))))}
       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(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(), 0()), app(s(), y)) -> 0(),
             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(log(), app(s(), app(s(), x))) -> app(s(), app(log(), app(s(), app(app(quot(), x), app(s(), app(s(), 0())))))),
                               app(log(), app(s(), 0())) -> 0()}
       Open