diff --git a/Kinetic_space_partition/examples/Kinetic_space_partition/data/test-4-rnd-polygons-4-6.off b/Kinetic_space_partition/examples/Kinetic_space_partition/data/test-4-rnd-polygons-4-6.off
new file mode 100644
index 00000000000..eb5def17d8c
--- /dev/null
+++ b/Kinetic_space_partition/examples/Kinetic_space_partition/data/test-4-rnd-polygons-4-6.off
@@ -0,0 +1,31 @@
+OFF
+25 4 0
+0.42368054211531858133 0.18253980947404854773 0.43361217636176885293
+0.022479024642939653134 0.54906919604958193126 0.18056913227494222896
+0.2811647526241494166 0.52705548769951282573 0.022668645874355360104
+0.56065427807169632146 0.47592798567162025725 -0.10696848363655320213
+0.97118185417342761667 0.3697089496003267417 -0.25076552479989255851
+0.53714992649207637943 0.15247177832828684441 0.39492925062101502665
+0.47254430936410363184 -0.4706882612609787353 -0.2428207513377572957
+0.072755785530830729968 -0.01774935447864991328 -0.65160096675580014836
+-0.13624087681667856886 -0.19828919510256182157 -1
+0.050171309138895309188 -1 -1
+0.42195670307475763305 -1 -0.48389499638253974378
+0.49191328462142458466 -0.78271514577943301916 -0.31664816804310136344
+0.49305113818899937161 -0.56550106370623254293 -0.24495695687290242049
+-1 0.038516275072130623514 0.26001089527408571822
+-0.0052646635725682039419 0.32175247304120269121 -1
+0.79946300115531654384 1 -1
+-0.24605339821785221499 1 1
+-0.9554579135068776985 0.40209355388461098801 1
+-1 0.32023017788244112491 0.89940428108662362483
+0.71260765954572424796 -1 0.060430338155497906327
+0.93155151560319460202 -0.69967629334922809559 0.098656503647987087158
+1 -0.4563157020167216138 0.27001739515231759636
+1 0.14422055985065576622 0.91048995874330840294
+0.94048661719673254389 0.15625792052012871247 1
+-0.016691632221610047671 -1 1
+6 0 1 2 3 4 5
+7 6 7 8 9 10 11 12
+6 13 14 15 16 17 18
+6 19 20 21 22 23 24
diff --git a/Kinetic_space_partition/examples/Kinetic_space_partition/kinetic_partition.cpp b/Kinetic_space_partition/examples/Kinetic_space_partition/kinetic_partition.cpp
index 7771a321e99..05f8e4fc679 100644
--- a/Kinetic_space_partition/examples/Kinetic_space_partition/kinetic_partition.cpp
+++ b/Kinetic_space_partition/examples/Kinetic_space_partition/kinetic_partition.cpp
@@ -1,32 +1,23 @@
-#include <CGAL/Simple_cartesian.h>
 #include <CGAL/Exact_predicates_exact_constructions_kernel.h>
 #include <CGAL/Exact_predicates_inexact_constructions_kernel.h>
 #include <CGAL/Kinetic_space_partition_3.h>
-#include <CGAL/Surface_mesh.h>
 #include <CGAL/Real_timer.h>
 #include <CGAL/IO/polygon_soup_io.h>
 
-using SCF   = CGAL::Simple_cartesian<float>;
-using SCD   = CGAL::Simple_cartesian<double>;
 using EPICK = CGAL::Exact_predicates_inexact_constructions_kernel;
 using EPECK = CGAL::Exact_predicates_exact_constructions_kernel;
 
 using Kernel     = EPICK;
 using FT         = typename Kernel::FT;
-using Point_2    = typename Kernel::Point_2;
 using Point_3    = typename Kernel::Point_3;
-using Segment_3  = typename Kernel::Segment_3;
-using Triangle_2 = typename Kernel::Triangle_2;
 
 using Surface_mesh = CGAL::Surface_mesh<Point_3>;
 using KSP          = CGAL::Kinetic_space_partition_3<EPICK>;
 using Timer        = CGAL::Real_timer;
 
 int main(const int argc, const char** argv) {
-
   // Reading polygons from file
-  const auto kernel_name = boost::typeindex::type_id<Kernel>().pretty_name();
-  std::string input_filename = (argc > 1 ? argv[1] : "../data/test-4-rnd-polygons-4-6.off");
+  std::string input_filename = (argc > 1 ? argv[1] : "data/test-4-rnd-polygons-4-6.off");
   std::ifstream input_file(input_filename);
 
   std::vector<Point_3> input_vertices;
@@ -66,7 +57,7 @@ int main(const int argc, const char** argv) {
   const FT time = static_cast<FT>(timer.time());
 
   // Access the kinetic partition via linear cell complex.
-  typedef CGAL::Linear_cell_complex_traits<3, CGAL::Exact_predicates_exact_constructions_kernel> LCC_Traits;
+  typedef CGAL::Linear_cell_complex_traits<3, EPECK> LCC_Traits;
   CGAL::Linear_cell_complex_for_combinatorial_map<3, 3, LCC_Traits, typename KSP::Linear_cell_complex_min_items> lcc;
   ksp.get_linear_cell_complex(lcc);
 
@@ -76,5 +67,6 @@ int main(const int argc, const char** argv) {
   std::cout << "For k = " << k << ":\n" << " vertices: " << count[0] << "\n faces: " << count[2] << "\n volumes: " << count[3] << std::endl;
 
   std::cout << "\n3D kinetic partition created in " << time << " seconds!" << std::endl;
+
   return EXIT_SUCCESS;
 }