diff --git a/NewKernel_d/include/CGAL/NewKernel_d/Cartesian_static_filters.h b/NewKernel_d/include/CGAL/NewKernel_d/Cartesian_static_filters.h
index d1639ca46e7..a630fdca5cb 100644
--- a/NewKernel_d/include/CGAL/NewKernel_d/Cartesian_static_filters.h
+++ b/NewKernel_d/include/CGAL/NewKernel_d/Cartesian_static_filters.h
@@ -342,7 +342,7 @@ struct Cartesian_static_filters<Dimension_tag<3>, R_, Derived_> : public R_ {
         };
 };
 
-#ifndef CGAL_NO_STATIC_FILTER_5
+#ifndef CGAL_NO_STATIC_FILTER_456
 
 template <class R_, class Derived_>
 struct Cartesian_static_filters<Dimension_tag<4>, R_, Derived_> : public R_ {
diff --git a/Triangulation/benchmark/Triangulation/bench5d.cpp b/Triangulation/benchmark/Triangulation/bench5d.cpp
index 2bf6fc90bfc..e605c53f9fd 100644
--- a/Triangulation/benchmark/Triangulation/bench5d.cpp
+++ b/Triangulation/benchmark/Triangulation/bench5d.cpp
@@ -1,3 +1,5 @@
+//  Switch off the static filters for 4, 5, and 6 points.
+//  #define CGAL_NO_STATIC_FILTER_456
 
 #include <CGAL/Epick_d.h>
 #include <CGAL/Triangulation.h>
@@ -23,7 +25,7 @@ int main()
     const int D = 5;   // we work in Euclidean 5-space
 
     std::vector<Triangulation::Point> points;
-    std::ifstream in("points.txt");
+    std::ifstream in("points_5.txt");
     Triangulation::Point p;
     int d;
     in >> d;