code: def test_cut_different_labels(self):
      G1 = nx.Graph(
          [
              (0, 1),
              (1, 2),
              (1, 14),
              (0, 4),
              (1, 5),
              (2, 6),
              (3, 7),
              (3, 6),
              (4, 10),
              (4, 9),
              (6, 10),
              (20, 9),
              (20, 15),
              (20, 12),
              (20, 11),
              (12, 13),
              (11, 13),
              (20, 8),
              (20, 3),
              (20, 5),
              (20, 0),
          ]
      )
      mapped = {
          0: "a",
          1: "b",
          2: "c",
          3: "d",
          4: "e",
          5: "f",
          6: "g",
          7: "h",
          8: "i",
          9: "j",
          10: "k",
          11: "l",
          12: "m",
          13: "n",
          14: "o",
          15: "p",
          20: "x",
      }
      G2 = nx.relabel_nodes(G1, mapped)
  
      l1 = {n: "none" for n in G1.nodes()}
      l2 = {}
  
      l1.update(
          {
              9: "blue",
              15: "blue",
              12: "blue",
              11: "green",
              3: "green",
              8: "red",
              0: "red",
              5: "yellow",
          }
      )
      l2.update({mapped[n]: l for n, l in l1.items()})
  
      gparams = _GraphParameters(
          G1, G2, l1, l2, nx.utils.groups(l1), nx.utils.groups(l2), None
      )
      sparams = _StateParameters(
          {0: "a", 1: "b", 2: "c", 3: "d"},
          {"a": 0, "b": 1, "c": 2, "d": 3},
          {4, 5, 6, 7, 14},
          None,
          {9, 10, 15, 12, 11, 13, 8},
          None,
          {"e", "f", "g", "h", "o"},
          None,
          {"j", "k", "l", "m", "n", "i", "p"},
          None,
      )
  
      u, v = 20, "x"
      assert not _cut_PT(u, v, gparams, sparams)
  
      # Change the orientation of the labels on neighbors of u compared to neighbors of v. Leave the structure intact
      l1.update({9: "red"})
      assert _cut_PT(u, v, gparams, sparams)
  
      # compensate in G2
      l2.update({mapped[9]: "red"})
      assert not _cut_PT(u, v, gparams, sparams)
  
      # Change the intersection of G1[u] and T1
      G1.add_edge(u, 4)
      assert _cut_PT(u, v, gparams, sparams)
  
      # Same for G2[v] and T2
      G2.add_edge(v, mapped[4])
      assert not _cut_PT(u, v, gparams, sparams)
  
      # Change the intersection of G2[v] and T2_tilde
      G2.remove_edge(v, mapped[8])
      assert _cut_PT(u, v, gparams, sparams)
  
      # Same for G1[u] and T1_tilde
      G1.remove_edge(u, 8)
      assert not _cut_PT(u, v, gparams, sparams)
  
      # Place 8 and mapped[8] in T1 and T2 respectively, by connecting it to covered nodes
      G1.add_edge(8, 3)
      G2.add_edge(mapped[8], mapped[3])
      sparams.T1.add(8)
      sparams.T2.add(mapped[8])
      sparams.T1_tilde.remove(8)
      sparams.T2_tilde.remove(mapped[8])
  
      assert not _cut_PT(u, v, gparams, sparams)
  
      # Remove neighbor of u from T1
      G1.remove_node(5)
      l1.pop(5)
      sparams.T1.remove(5)
      assert _cut_PT(u, v, gparams, sparams)
  
      # Same in G2
      G2.remove_node(mapped[5])
      l2.pop(mapped[5])
      sparams.T2.remove(mapped[5])
      assert not _cut_PT(u, v, gparams, sparams)
  
imports: import itertools
  import pytest
  import networkx
  from networkx import vf2pp_is_isomorphic, vf2pp_isomorphism
  from networkx.algorithms.isomorphism.vf2pp import _consistent_PT, _cut_PT, _feasibility, _find_candidates, _find_candidates_Di, _GraphParameters, _initialize_parameters, _matching_order, _restore_Tinout, _restore_Tinout_Di, _StateParameters, _update_Tinout
label_desc: Use image node_id 8 for calling the TestGraphISOFeasibility obj's underlying member method code with example usage: obj.test_cut_different_labels() without return types