MAYBE
MAYBE
TRS:
 {
                  app(app(and(), true()), true()) -> true(),
                 app(app(and(), true()), false()) -> false(),
                 app(app(and(), false()), true()) -> false(),
                app(app(and(), false()), false()) -> false(),
                   app(app(or(), true()), true()) -> true(),
                  app(app(or(), true()), false()) -> true(),
                  app(app(or(), false()), true()) -> true(),
                 app(app(or(), false()), false()) -> false(),
   app(app(forall(), p), app(app(cons(), x), xs)) ->
  app(app(and(), app(p, x)), app(app(forall(), p), xs)),
                     app(app(forall(), p), nil()) -> true(),
  app(app(forsome(), p), app(app(cons(), x), xs)) ->
  app(app(or(), app(p, x)), app(app(forsome(), p), xs)),
                    app(app(forsome(), p), nil()) -> false()
 }
 DUP: We consider a duplicating system.
  Trs:
   {
                    app(app(and(), true()), true()) -> true(),
                   app(app(and(), true()), false()) -> false(),
                   app(app(and(), false()), true()) -> false(),
                  app(app(and(), false()), false()) -> false(),
                     app(app(or(), true()), true()) -> true(),
                    app(app(or(), true()), false()) -> true(),
                    app(app(or(), false()), true()) -> true(),
                   app(app(or(), false()), false()) -> false(),
     app(app(forall(), p), app(app(cons(), x), xs)) ->
    app(app(and(), app(p, x)), app(app(forall(), p), xs)),
                       app(app(forall(), p), nil()) -> true(),
    app(app(forsome(), p), app(app(cons(), x), xs)) ->
    app(app(or(), app(p, x)), app(app(forsome(), p), xs)),
                      app(app(forsome(), p), nil()) -> false()
   }
  Fail