MAYBE
MAYBE
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(and(), x), app(app(or(), y), z)) ->
  app(app(or(), app(app(and(), x), y)), app(app(and(), x), z)),
          app(app(and(), app(app(or(), y), z)), x) ->
  app(app(or(), app(app(and(), x), y)), app(app(and(), x), z)),
       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(not(), app(app(and(), x), y)) ->
  app(app(or(), app(not(), x)), app(not(), y)),
                  app(not(), app(app(or(), x), y)) ->
  app(app(and(), app(not(), x)), app(not(), y)),
                         app(not(), app(not(), x)) -> x
 }
 DUP: We consider a duplicating system.
  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(and(), x), app(app(or(), y), z)) ->
    app(app(or(), app(app(and(), x), y)), app(app(and(), x), z)),
            app(app(and(), app(app(or(), y), z)), x) ->
    app(app(or(), app(app(and(), x), y)), app(app(and(), x), z)),
         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(not(), app(app(and(), x), y)) ->
    app(app(or(), app(not(), x)), app(not(), y)),
                    app(not(), app(app(or(), x), y)) ->
    app(app(and(), app(not(), x)), app(not(), y)),
                           app(not(), app(not(), x)) -> x
   }
  Fail