code: def test_get_paths_to_root_with_recursion(self):
      argument_paths = self.world_with_recursion.get_paths_to_root(
          "e -> argument"
      )
      # Argument now has 4 paths, and the two new paths are with the identity function occurring
      # (only once) within unary and binary functions.
      assert argument_paths == [
          ["e -> argument", "t -> [<e,t>, e]", "@start@ -> t"],
          [
              "e -> argument",
              "<e,t> -> [<e,<e,t>>, e]",
              "t -> [<e,t>, e]",
              "@start@ -> t",
          ],
          [
              "e -> argument",
              "e -> [<e,e>, e]",
              "t -> [<e,t>, e]",
              "@start@ -> t",
          ],
          [
              "e -> argument",
              "e -> [<e,e>, e]",
              "<e,t> -> [<e,<e,t>>, e]",
              "t -> [<e,t>, e]",
              "@start@ -> t",
          ],
      ]
      identity_paths = self.world_with_recursion.get_paths_to_root(
          "<e,e> -> identity"
      )
      # Two identity paths, one through each of unary and binary function productions.
      assert identity_paths == [
          [
              "<e,e> -> identity",
              "e -> [<e,e>, e]",
              "t -> [<e,t>, e]",
              "@start@ -> t",
          ],
          [
              "<e,e> -> identity",
              "e -> [<e,e>, e]",
              "<e,t> -> [<e,<e,t>>, e]",
              "t -> [<e,t>, e]",
              "@start@ -> t",
          ],
      ]
  
imports: from __future__ import with_statement
  from __future__ import division
  from __future__ import absolute_import
  import json
  from allennlp.common.testing import AllenNlpTestCase
  from allennlp.data.tokenizers import Token
  from allennlp.semparse import ParsingError, World
  from allennlp.semparse.contexts import TableQuestionKnowledgeGraph
  from allennlp.semparse.worlds import NlvrWorld, WikiTablesWorld
  from io import open
label_desc: Use image node_id 3 for calling the TestWorld obj's underlying member method code with example usage: obj.test_get_paths_to_root_with_recursion() without return types