code: 
  
  
  from __future__ import annotations
  
  import random
  from collections.abc import Iterable
  
  class 						snake_case			:
  			'''simple docstring'''
  
  			def __init__(	self     :     str							,							lowerCAmelCase_     :     list[str]					)					->					None:
  
  
  
  
  								"""simple docstring"""
  
  
  
  
  
  
  								SCREAMING_SNAKE_CASE_	      =       {literal: None for literal in literals}
  
  			def __str__(	self     :     Dict					)					->					str:
  
  
  
  
  								"""simple docstring"""
  
  
  
  
  
  
  								return "{" + " , ".join(self.literals					) + "}"
  
  			def __len__(	self     :     List[str]					)					->					int:
  
  
  
  
  								"""simple docstring"""
  
  
  
  
  
  
  								return len(self.literals					)
  
  			def _lowercase (	self     :     Optional[Any]							,							lowerCAmelCase_     :     dict[str, bool | None]					)					->					None:
  
  
  
  
  								"""simple docstring"""
  
  
  
  
  
  
  								for literal in self.literals:
  													SCREAMING_SNAKE_CASE_	      =       literal[:2]
  													if symbol in model:
  																		SCREAMING_SNAKE_CASE_	      =       model[symbol]
  													else:
  																		continue
  													if value is not None:
  																		# Complement assignment if literal is in complemented form
  																		if literal.endswith('''\''''					):
  																							SCREAMING_SNAKE_CASE_	      =       not value
  													SCREAMING_SNAKE_CASE_	      =       value
  
  
  
  
  			def _lowercase (	self     :     Optional[Any]							,							lowerCAmelCase_     :     dict[str, bool | None]					)					->					bool | None:
  
  
  
  
  								"""simple docstring"""
  
  
  
  
  
  
  								for literal in self.literals:
  													SCREAMING_SNAKE_CASE_	      =       literal.rstrip('''\''''					) if literal.endswith('''\''''					) else literal + '''\''''
  													if symbol in self.literals:
  																		return True
  
  								self.assign(lowerCAmelCase_					)
  								for value in self.literals.values():
  													if value in (True, None):
  																		return value
  								return any(self.literals.values()					)
  
  class 						snake_case			:
  			'''simple docstring'''
  
  			def __init__(	self     :     Any							,							lowerCAmelCase_     :     Iterable[Clause]					)					->					None:
  
  
  
  
  								"""simple docstring"""
  
  
  
  
  
  
  								SCREAMING_SNAKE_CASE_	      =       list(lowerCAmelCase_					)
  
  
  
  
  			def __str__(	self     :     Union[str, Any]					)					->					str:
  
  
  
  
  								"""simple docstring"""
  
  
  
  
  
  
  								return "{" + " , ".join(str(lowerCAmelCase_					) for clause in self.clauses					) + "}"
  
  
  
  
  
  
  
  def 							UpperCAmelCase				(     )->		Clause:
  
  
  
  
  
  
  
  					'''simple docstring'''
  
  
  
  					SCREAMING_SNAKE_CASE_	      =       []
  					SCREAMING_SNAKE_CASE_	      =       random.randint(1				,5      )
  					SCREAMING_SNAKE_CASE_	      =       '''A'''
  					SCREAMING_SNAKE_CASE_	      =       0
  					while i < no_of_literals:
  										SCREAMING_SNAKE_CASE_	      =       random.randint(1				,5      )
  										SCREAMING_SNAKE_CASE_	      =       base_var + str(UpperCAmelCase      )
  										SCREAMING_SNAKE_CASE_	      =       random.randint(0				,1      )
  										if var_complement == 1:
  															var_name += "'"
  										if var_name in literals:
  															i -= 1
  										else:
  															literals.append(UpperCAmelCase      )
  										i += 1
  					return Clause(UpperCAmelCase      )
  
  
  
  
  
  
  
  def 							UpperCAmelCase				(     )->		Formula:
  
  
  
  
  
  
  
  					'''simple docstring'''
  
  
  
  					SCREAMING_SNAKE_CASE_	      =       set()
  					SCREAMING_SNAKE_CASE_	      =       random.randint(1				,10      )
  					while len(UpperCAmelCase      ) < no_of_clauses:
  										clauses.add(generate_clause()      )
  					return Formula(UpperCAmelCase      )
  
  
  
  
  
  
  
  def 							UpperCAmelCase				(     UpperCAmelCase      )->		tuple[list[Clause], list[str]]:
  
  
  
  
  
  
  
  					'''simple docstring'''
  
  
  
  					SCREAMING_SNAKE_CASE_	      =       formula.clauses
  					SCREAMING_SNAKE_CASE_	      =       []
  					for clause in formula.clauses:
  										for literal in clause.literals:
  															SCREAMING_SNAKE_CASE_	      =       literal[:2]
  															if symbol not in symbols_set:
  																				symbols_set.append(UpperCAmelCase      )
  					return clauses, symbols_set
  
  
  
  
  
  
  
  def 							UpperCAmelCase				(     UpperCAmelCase				,UpperCAmelCase				,UpperCAmelCase      )->		tuple[list[str], dict[str, bool | None]]:
  
  
  
  
  
  
  
  					'''simple docstring'''
  
  
  
  					SCREAMING_SNAKE_CASE_	      =       []
  					SCREAMING_SNAKE_CASE_	      =       {}
  					SCREAMING_SNAKE_CASE_	      =       []
  
  					for clause in clauses:
  										if clause.evaluate(UpperCAmelCase      ):
  															continue
  										for literal in clause.literals:
  															literals.append(UpperCAmelCase      )
  
  					for s in symbols:
  										SCREAMING_SNAKE_CASE_	      =       s + '''\''''
  										if (s in literals and sym not in literals) or (
  										    s not in literals and sym in literals
  										):
  															pure_symbols.append(UpperCAmelCase      )
  					for p in pure_symbols:
  										SCREAMING_SNAKE_CASE_	      =       None
  					for s in pure_symbols:
  										SCREAMING_SNAKE_CASE_	      =       s + '''\''''
  										if s in literals:
  															SCREAMING_SNAKE_CASE_	      =       True
  										elif sym in literals:
  															SCREAMING_SNAKE_CASE_	      =       False
  					return pure_symbols, assignment
  
  
  
  
  
  
  
  def 							UpperCAmelCase				(     UpperCAmelCase				,UpperCAmelCase      )->		tuple[list[str], dict[str, bool | None]]:
  
  
  
  
  
  
  
  					'''simple docstring'''
  
  
  
  					SCREAMING_SNAKE_CASE_	      =       []
  					for clause in clauses:
  										if len(UpperCAmelCase      ) == 1:
  															unit_symbols.append(list(clause.literals.keys()      )[0]      )
  										else:
  															SCREAMING_SNAKE_CASE_      ,SCREAMING_SNAKE_CASE_	      =       0, 0
  															for literal, value in clause.literals.items():
  																				if value is False:
  																									f_count += 1
  																				elif value is None:
  																									SCREAMING_SNAKE_CASE_	      =       literal
  																									n_count += 1
  															if f_count == len(UpperCAmelCase      ) - 1 and n_count == 1:
  																				unit_symbols.append(UpperCAmelCase      )
  					SCREAMING_SNAKE_CASE_	      =       {}
  					for i in unit_symbols:
  										SCREAMING_SNAKE_CASE_	      =       i[:2]
  										SCREAMING_SNAKE_CASE_	      =       len(UpperCAmelCase      ) == 2
  					SCREAMING_SNAKE_CASE_	      =       [i[:2] for i in unit_symbols]
  
  					return unit_symbols, assignment
  
  
  
  
  
  
  
  def 							UpperCAmelCase				(     UpperCAmelCase				,UpperCAmelCase				,UpperCAmelCase      )->		tuple[bool | None, dict[str, bool | None] | None]:
  
  
  
  
  
  
  
  					'''simple docstring'''
  
  
  
  					SCREAMING_SNAKE_CASE_	      =       True
  					for clause in clauses:
  										SCREAMING_SNAKE_CASE_	      =       clause.evaluate(UpperCAmelCase      )
  										if clause_check is False:
  															return False, None
  										elif clause_check is None:
  															SCREAMING_SNAKE_CASE_	      =       False
  															continue
  
  					if check_clause_all_true:
  										return True, model
  
  					try:
  										SCREAMING_SNAKE_CASE_      ,SCREAMING_SNAKE_CASE_	      =       find_pure_symbols(UpperCAmelCase				,UpperCAmelCase				,UpperCAmelCase      )
  					except RecursionError:
  										print('''raises a RecursionError and is'''      )
  										return None, {}
  					SCREAMING_SNAKE_CASE_	      =       None
  					if len(UpperCAmelCase      ) > 0:
  										SCREAMING_SNAKE_CASE_      ,SCREAMING_SNAKE_CASE_	      =       pure_symbols[0], assignment[pure_symbols[0]]
  
  					if p:
  										SCREAMING_SNAKE_CASE_	      =       model
  										SCREAMING_SNAKE_CASE_	      =       value
  										SCREAMING_SNAKE_CASE_	      =       list(UpperCAmelCase      )
  										if p in tmp_symbols:
  															tmp_symbols.remove(UpperCAmelCase      )
  										return dpll_algorithm(UpperCAmelCase				,UpperCAmelCase				,UpperCAmelCase      )
  
  					SCREAMING_SNAKE_CASE_      ,SCREAMING_SNAKE_CASE_	      =       find_unit_clauses(UpperCAmelCase				,UpperCAmelCase      )
  					SCREAMING_SNAKE_CASE_	      =       None
  					if len(UpperCAmelCase      ) > 0:
  										SCREAMING_SNAKE_CASE_      ,SCREAMING_SNAKE_CASE_	      =       unit_symbols[0], assignment[unit_symbols[0]]
  					if p:
  										SCREAMING_SNAKE_CASE_	      =       model
  										SCREAMING_SNAKE_CASE_	      =       value
  										SCREAMING_SNAKE_CASE_	      =       list(UpperCAmelCase      )
  										if p in tmp_symbols:
  															tmp_symbols.remove(UpperCAmelCase      )
  										return dpll_algorithm(UpperCAmelCase				,UpperCAmelCase				,UpperCAmelCase      )
  					SCREAMING_SNAKE_CASE_	      =       symbols[0]
  					SCREAMING_SNAKE_CASE_	      =       symbols[1:]
  					SCREAMING_SNAKE_CASE_      ,SCREAMING_SNAKE_CASE_	      =       model, model
  					SCREAMING_SNAKE_CASE_      ,SCREAMING_SNAKE_CASE_	      =       True, False
  
  					return dpll_algorithm(UpperCAmelCase				,UpperCAmelCase				,UpperCAmelCase      ) or dpll_algorithm(UpperCAmelCase				,UpperCAmelCase				,UpperCAmelCase      )
  
  
  if __name__ == "__main__":
  		import doctest
  
  		doctest.testmod()
  
  		A_														=      generate_formula()
  		print(F'The formula {formula} is', end=" ")
  
  		A_							,A_														=      generate_parameters(formula)
  		A_							,A_														=      dpll_algorithm(clauses, symbols, {})
  
  		if solution:
  				print(F'satisfiable with the assignment {model}.')
  		else:
  				print("not satisfiable.")
  
  
  
style_context: 
  
  
  import os
  from argparse import ArgumentParser
  from pathlib import Path
  from shutil import copyfile
  from typing import List
  
  from datasets import config
  from datasets.builder import DatasetBuilder
  from datasets.commands import BaseDatasetsCLICommand
  from datasets.download.download_config import DownloadConfig
  from datasets.download.download_manager import DownloadMode
  from datasets.load import dataset_module_factory, import_main_class
  from datasets.utils.info_utils import VerificationMode
  
  
  
  
  
  
  
  def 							UpperCAmelCase				(     UpperCAmelCase				,**UpperCAmelCase      )->		Tuple:
  
  
  
  
  
  
  
  					'''simple docstring'''
  
  
  
  					return RunBeamCommand(
  					    args.dataset				,args.name				,args.cache_dir				,args.beam_pipeline_options				,args.data_dir				,args.all_configs				,args.save_info or args.save_infos				,args.ignore_verifications				,args.force_redownload				,**UpperCAmelCase				,)
  
  
  
  
  
  
  class 						snake_case			(       lowerCAmelCase__	):
  			'''simple docstring'''
  
  			@staticmethod
  			def _lowercase (	lowerCAmelCase_     :     ArgumentParser					)					->					List[str]:
  
  
  
  
  								"""simple docstring"""
  
  
  
  
  
  
  								SCREAMING_SNAKE_CASE_	      =       parser.add_parser('''run_beam'''							,							help='''Run a Beam dataset processing pipeline'''					)
  								run_beam_parser.add_argument('''dataset'''							,							type=lowerCAmelCase_							,							help='''Name of the dataset to download'''					)
  								run_beam_parser.add_argument('''--name'''							,							type=lowerCAmelCase_							,							default=lowerCAmelCase_							,							help='''Dataset config name'''					)
  								run_beam_parser.add_argument(
  								    '''--cache_dir'''							,							type=lowerCAmelCase_							,							default=lowerCAmelCase_							,							help='''Cache directory where the datasets are stored'''							,							)
  								run_beam_parser.add_argument(
  								    '''--beam_pipeline_options'''							,							type=lowerCAmelCase_							,							default=''''''							,							help='''Beam pipeline options, separated by commas. Example:: `--beam_pipeline_options=job_name=my-job,project=my-project`'''							,							)
  								run_beam_parser.add_argument(
  								    '''--data_dir'''							,							type=lowerCAmelCase_							,							default=lowerCAmelCase_							,							help='''Can be used to specify a manual directory to get the files from'''							,							)
  								run_beam_parser.add_argument('''--all_configs'''							,							action='''store_true'''							,							help='''Test all dataset configurations'''					)
  								run_beam_parser.add_argument('''--save_info'''							,							action='''store_true'''							,							help='''Save the dataset infos file'''					)
  								run_beam_parser.add_argument(
  								    '''--ignore_verifications'''							,							action='''store_true'''							,							help='''Run the test without checksums and splits checks'''					)
  								run_beam_parser.add_argument('''--force_redownload'''							,							action='''store_true'''							,							help='''Force dataset redownload'''					)
  								# aliases
  								run_beam_parser.add_argument('''--save_infos'''							,							action='''store_true'''							,							help='''alias for save_info'''					)
  								run_beam_parser.set_defaults(func=lowerCAmelCase_					)
  
  			def __init__(	self     :     Any							,							lowerCAmelCase_     :     str							,							lowerCAmelCase_     :     str							,							lowerCAmelCase_     :     str							,							lowerCAmelCase_     :     str							,							lowerCAmelCase_     :     str							,							lowerCAmelCase_     :     bool							,							lowerCAmelCase_     :     bool							,							lowerCAmelCase_     :     bool							,							lowerCAmelCase_     :     bool							,							**lowerCAmelCase_     :     Any							,							)					->					Tuple:
  
  
  
  
  								"""simple docstring"""
  
  
  
  
  
  
  								SCREAMING_SNAKE_CASE_	      =       dataset
  								SCREAMING_SNAKE_CASE_	      =       name
  								SCREAMING_SNAKE_CASE_	      =       cache_dir
  								SCREAMING_SNAKE_CASE_	      =       beam_pipeline_options
  								SCREAMING_SNAKE_CASE_	      =       data_dir
  								SCREAMING_SNAKE_CASE_	      =       all_configs
  								SCREAMING_SNAKE_CASE_	      =       save_infos
  								SCREAMING_SNAKE_CASE_	      =       ignore_verifications
  								SCREAMING_SNAKE_CASE_	      =       force_redownload
  								SCREAMING_SNAKE_CASE_	      =       config_kwargs
  
  
  
  
  			def _lowercase (	self     :     List[str]					)					->					int:
  
  
  
  
  								"""simple docstring"""
  
  
  
  
  
  
  								import apache_beam as beam
  
  								if self._name is not None and self._all_configs:
  													print('''Both parameters `name` and `all_configs` can\'t be used at once.'''					)
  													exit(1					)
  								SCREAMING_SNAKE_CASE_      ,SCREAMING_SNAKE_CASE_	      =       self._dataset, self._name
  								SCREAMING_SNAKE_CASE_	      =       dataset_module_factory(lowerCAmelCase_					)
  								SCREAMING_SNAKE_CASE_	      =       import_main_class(dataset_module.module_path					)
  								SCREAMING_SNAKE_CASE_	      =       []
  								if self._beam_pipeline_options:
  													SCREAMING_SNAKE_CASE_	      =       beam.options.pipeline_options.PipelineOptions(
  													    flags=[F'''--{opt.strip()}''' for opt in self._beam_pipeline_options.split(''','''					) if opt]					)
  								else:
  													SCREAMING_SNAKE_CASE_	      =       None
  								if self._all_configs and len(builder_cls.BUILDER_CONFIGS					) > 0:
  													for builder_config in builder_cls.BUILDER_CONFIGS:
  																		builders.append(
  																		    builder_cls(
  																		        config_name=builder_config.name							,							data_dir=self._data_dir							,							hash=dataset_module.hash							,							beam_options=lowerCAmelCase_							,							cache_dir=self._cache_dir							,							base_path=dataset_module.builder_kwargs.get('''base_path'''					)							,							)					)
  								else:
  													builders.append(
  													    builder_cls(
  													        config_name=lowerCAmelCase_							,							data_dir=self._data_dir							,							beam_options=lowerCAmelCase_							,							cache_dir=self._cache_dir							,							base_path=dataset_module.builder_kwargs.get('''base_path'''					)							,							**self._config_kwargs							,							)					)
  
  								for builder in builders:
  													builder.download_and_prepare(
  													    download_mode=DownloadMode.REUSE_CACHE_IF_EXISTS
  													    if not self._force_redownload
  													    else DownloadMode.FORCE_REDOWNLOAD							,							download_config=DownloadConfig(cache_dir=config.DOWNLOADED_DATASETS_PATH					)							,							verification_mode=VerificationMode.NO_CHECKS
  													    if self._ignore_verifications
  													    else VerificationMode.ALL_CHECKS							,							try_from_hf_gcs=lowerCAmelCase_							,							)
  													if self._save_infos:
  																		builder._save_infos()
  
  								print('''Apache beam run successful.'''					)
  
  								# If save_infos=True, the dataset infos file is created next to the loaded module file.
  								# Let's move it to the original directory of the dataset script, to allow the user to
  								# upload them on S3 at the same time afterwards.
  								if self._save_infos:
  													SCREAMING_SNAKE_CASE_	      =       os.path.join(builder_cls.get_imported_module_dir()							,							config.DATASETDICT_INFOS_FILENAME					)
  
  													SCREAMING_SNAKE_CASE_	      =       Path(lowerCAmelCase_					).name + '''.py'''
  
  													SCREAMING_SNAKE_CASE_	      =       os.path.join(lowerCAmelCase_							,							lowerCAmelCase_					)
  													if os.path.isfile(lowerCAmelCase_					):
  																		SCREAMING_SNAKE_CASE_	      =       os.path.dirname(lowerCAmelCase_					)
  													elif os.path.isfile(lowerCAmelCase_					):
  																		SCREAMING_SNAKE_CASE_	      =       path
  													else:  # in case of a remote dataset
  																		print(F'''Dataset Infos file saved at {dataset_infos_path}'''					)
  																		exit(1					)
  
  													# Move datasetinfo back to the user
  													SCREAMING_SNAKE_CASE_	      =       os.path.join(lowerCAmelCase_							,							config.DATASETDICT_INFOS_FILENAME					)
  													copyfile(lowerCAmelCase_							,							lowerCAmelCase_					)
  													print(F'''Dataset Infos file saved at {user_dataset_infos_path}'''					)
  
  
  