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