MAYBE
MAYBE
TRS:
 {
              app(app(app(curry(), g), x), y) -> app(app(g, x), y),
             app(app(plus(), app(s(), x)), y) ->
  app(s(), app(app(plus(), x), y)),
                     app(app(plus(), 0()), y) -> y,
            app(app(times(), app(s(), x)), y) ->
  app(app(plus(), app(app(times(), x), y)), y),
                    app(app(times(), 0()), 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(),
                                        inc() ->
  app(map(), app(app(curry(), plus()), app(s(), 0()))),
                                     double() ->
  app(map(), app(app(curry(), times()), app(s(), app(s(), 0()))))
 }
 DUP: We consider a duplicating system.
  Trs:
   {
                app(app(app(curry(), g), x), y) -> app(app(g, x), y),
               app(app(plus(), app(s(), x)), y) ->
    app(s(), app(app(plus(), x), y)),
                       app(app(plus(), 0()), y) -> y,
              app(app(times(), app(s(), x)), y) ->
    app(app(plus(), app(app(times(), x), y)), y),
                      app(app(times(), 0()), 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(),
                                          inc() ->
    app(map(), app(app(curry(), plus()), app(s(), 0()))),
                                       double() ->
    app(map(), app(app(curry(), times()), app(s(), app(s(), 0()))))
   }
  Fail