code: def _prove(self, goal=None, assumptions=None, verbose=False):
      if not assumptions:
          assumptions = []
  
      result = None
      try:
          agenda = Agenda()
          if goal:
              agenda.put(-goal)
          agenda.put_all(assumptions)
          debugger = Debug(verbose)
          result = self._attempt_proof(agenda, set(), set(), debugger)
      except RuntimeError as e:
          if self._assume_false and str(e).startswith(
              "maximum recursion depth exceeded"
          ):
              result = False
          else:
              if verbose:
                  print(e)
              else:
                  raise e
      return (result, "\n".join(debugger.lines))
  
imports: from nltk.inference.api import BaseProverCommand, Prover
  from nltk.internals import Counter
  from nltk.sem.logic import AbstractVariableExpression, AllExpression, AndExpression, ApplicationExpression, EqualityExpression, ExistsExpression, Expression, FunctionVariableExpression, IffExpression, ImpExpression, LambdaExpression, NegatedExpression, OrExpression, Variable, VariableExpression, unique_variable
label_desc: Use image node_id 1 for calling the TableauProver obj's underlying member method code with example usage: obj._prove(goal, assumptions, verbose) and returns: result,  str