%------------------------------------------------------------------------------ % File : Etableau---0.67 % Problem : GRP123-2.005 : TPTP v8.1.0. Released v1.2.0. % Transfm : none % Format : tptp:raw % Command : etableau --auto --tsmdo --quicksat=10000 --tableau=1 --tableau-saturation=1 -s -p --tableau-cores=8 --cpu-limit=%d %s % Computer : n032.cluster.edu % Model : x86_64 x86_64 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz % Memory : 8042.1875MB % OS : Linux 3.10.0-693.el7.x86_64 % CPULimit : 300s % WCLimit : 600s % DateTime : Sat Jul 16 09:04:31 EDT 2022 % Result : Satisfiable 33.57s 4.55s % Output : CNFRefutation 33.57s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.02/0.08 % Problem : GRP123-2.005 : TPTP v8.1.0. Released v1.2.0. % 0.02/0.09 % Command : etableau --auto --tsmdo --quicksat=10000 --tableau=1 --tableau-saturation=1 -s -p --tableau-cores=8 --cpu-limit=%d %s % 0.07/0.27 % Computer : n032.cluster.edu % 0.07/0.27 % Model : x86_64 x86_64 % 0.07/0.27 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.07/0.27 % Memory : 8042.1875MB % 0.07/0.27 % OS : Linux 3.10.0-693.el7.x86_64 % 0.07/0.27 % CPULimit : 300 % 0.07/0.27 % WCLimit : 600 % 0.07/0.27 % DateTime : Mon Jun 13 15:34:27 EDT 2022 % 0.07/0.28 % CPUTime : % 0.07/0.30 # No SInE strategy applied % 0.07/0.30 # Auto-Mode selected heuristic H_____011_C07_F1_PI_AE_OS_S1U % 0.07/0.30 # and selection function SelectComplexAHPExceptRRHorn. % 0.07/0.30 # % 0.07/0.30 # Number of axioms: 47 Number of unprocessed: 47 % 0.07/0.30 # Tableaux proof search. % 0.07/0.30 # APR header successfully linked. % 0.07/0.30 # Hello from C++ % 0.07/0.30 # The folding up rule is enabled... % 0.07/0.30 # Local unification is enabled... % 0.07/0.30 # Any saturation attempts will use folding labels... % 0.07/0.30 # 47 beginning clauses after preprocessing and clausification % 0.07/0.30 # Creating start rules for all 2 conjectures. % 0.07/0.30 # There are 2 start rule candidates: % 0.07/0.30 # Found 40 unit axioms. % 0.07/0.30 # Unsuccessfully attempted saturation on 1 start tableaux, moving on. % 0.07/0.30 # 2 start rule tableaux created. % 0.07/0.30 # 7 extension rule candidate clauses % 0.07/0.30 # 40 unit axiom clauses % 0.07/0.30 % 0.07/0.30 # Requested 8, 32 cores available to the main process. % 0.07/0.30 # There are not enough tableaux to fork, creating more from the initial 2 % 0.07/0.30 # Returning from population with 8 new_tableaux and 0 remaining starting tableaux. % 0.07/0.30 # We now have 8 tableaux to operate on % 33.57/4.53 # 4717 Satisfiable branch % 33.57/4.55 # Satisfiable branch found. % 33.57/4.55 # There were 20 total branch saturation attempts. % 33.57/4.55 # There were 0 of these attempts blocked. % 33.57/4.55 # There were 0 deferred branch saturation attempts. % 33.57/4.55 # There were 0 free duplicated saturations. % 33.57/4.55 # There were 18 total successful branch saturations. % 33.57/4.55 # There were 4 successful branch saturations in interreduction. % 33.57/4.55 # There were 0 successful branch saturations on the branch. % 33.57/4.55 # There were 14 successful branch saturations after the branch. % 33.57/4.55 # SZS status Satisfiable for /export/starexec/sandbox/benchmark/theBenchmark.p % 33.57/4.55 # SZS output start for /export/starexec/sandbox/benchmark/theBenchmark.p % 33.57/4.55 # Begin clausification derivation % 33.57/4.55 % 33.57/4.55 # End clausification derivation % 33.57/4.55 # Begin listing active clauses obtained from FOF to CNF conversion % 33.57/4.55 cnf(i_0_63, plain, (group_element(e_1))). % 33.57/4.55 cnf(i_0_64, plain, (group_element(e_2))). % 33.57/4.55 cnf(i_0_65, plain, (group_element(e_3))). % 33.57/4.55 cnf(i_0_66, plain, (group_element(e_4))). % 33.57/4.55 cnf(i_0_67, plain, (group_element(e_5))). % 33.57/4.55 cnf(i_0_48, plain, (next(e_1,e_2))). % 33.57/4.55 cnf(i_0_49, plain, (next(e_2,e_3))). % 33.57/4.55 cnf(i_0_50, plain, (next(e_3,e_4))). % 33.57/4.55 cnf(i_0_51, plain, (next(e_4,e_5))). % 33.57/4.55 cnf(i_0_52, plain, (greater(e_2,e_1))). % 33.57/4.55 cnf(i_0_53, plain, (greater(e_3,e_1))). % 33.57/4.55 cnf(i_0_56, plain, (greater(e_3,e_2))). % 33.57/4.55 cnf(i_0_54, plain, (greater(e_4,e_1))). % 33.57/4.55 cnf(i_0_57, plain, (greater(e_4,e_2))). % 33.57/4.55 cnf(i_0_59, plain, (greater(e_4,e_3))). % 33.57/4.55 cnf(i_0_55, plain, (greater(e_5,e_1))). % 33.57/4.55 cnf(i_0_58, plain, (greater(e_5,e_2))). % 33.57/4.55 cnf(i_0_60, plain, (greater(e_5,e_3))). % 33.57/4.55 cnf(i_0_61, plain, (greater(e_5,e_4))). % 33.57/4.55 cnf(i_0_68, plain, (~equalish(e_1,e_2))). % 33.57/4.55 cnf(i_0_69, plain, (~equalish(e_1,e_3))). % 33.57/4.55 cnf(i_0_70, plain, (~equalish(e_1,e_4))). % 33.57/4.55 cnf(i_0_71, plain, (~equalish(e_1,e_5))). % 33.57/4.55 cnf(i_0_72, plain, (~equalish(e_2,e_1))). % 33.57/4.55 cnf(i_0_73, plain, (~equalish(e_2,e_3))). % 33.57/4.55 cnf(i_0_74, plain, (~equalish(e_2,e_4))). % 33.57/4.55 cnf(i_0_75, plain, (~equalish(e_2,e_5))). % 33.57/4.55 cnf(i_0_76, plain, (~equalish(e_3,e_1))). % 33.57/4.55 cnf(i_0_77, plain, (~equalish(e_3,e_2))). % 33.57/4.55 cnf(i_0_78, plain, (~equalish(e_3,e_4))). % 33.57/4.55 cnf(i_0_79, plain, (~equalish(e_3,e_5))). % 33.57/4.55 cnf(i_0_80, plain, (~equalish(e_4,e_1))). % 33.57/4.55 cnf(i_0_81, plain, (~equalish(e_4,e_2))). % 33.57/4.55 cnf(i_0_82, plain, (~equalish(e_4,e_3))). % 33.57/4.55 cnf(i_0_83, plain, (~equalish(e_4,e_5))). % 33.57/4.55 cnf(i_0_84, plain, (~equalish(e_5,e_1))). % 33.57/4.55 cnf(i_0_85, plain, (~equalish(e_5,e_2))). % 33.57/4.55 cnf(i_0_86, plain, (~equalish(e_5,e_3))). % 33.57/4.55 cnf(i_0_87, plain, (~equalish(e_5,e_4))). % 33.57/4.55 cnf(i_0_92, plain, (product(X1,X1,X1))). % 33.57/4.55 cnf(i_0_62, plain, (~next(X1,X3)|~greater(X2,X3)|~product(X1,e_1,X2))). % 33.57/4.55 cnf(i_0_89, plain, (equalish(X3,X4)|~product(X1,X2,X4)|~product(X1,X2,X3))). % 33.57/4.55 cnf(i_0_90, plain, (equalish(X2,X4)|~product(X1,X4,X3)|~product(X1,X2,X3))). % 33.57/4.55 cnf(i_0_91, plain, (equalish(X1,X4)|~product(X4,X2,X3)|~product(X1,X2,X3))). % 33.57/4.55 cnf(i_0_88, plain, (product(X1,X2,e_1)|product(X1,X2,e_2)|product(X1,X2,e_3)|product(X1,X2,e_4)|product(X1,X2,e_5)|~group_element(X2)|~group_element(X1))). % 33.57/4.55 cnf(i_0_94, negated_conjecture, (equalish(X2,X5)|~product(X6,X5,X4)|~product(X6,X2,X1)|~product(X4,X5,X3)|~product(X1,X2,X3))). % 33.57/4.55 cnf(i_0_93, negated_conjecture, (equalish(X1,X4)|~product(X6,X5,X4)|~product(X6,X2,X1)|~product(X4,X5,X3)|~product(X1,X2,X3))). % 33.57/4.55 # End listing active clauses. There is an equivalent clause to each of these in the clausification! % 33.57/4.55 # Begin printing tableau % 33.57/4.55 # Found 54 steps % 33.57/4.55 cnf(i_0_94, negated_conjecture, (equalish(e_1,e_2)|~product(e_2,e_2,e_2)|~product(e_2,e_1,e_2)|~product(e_2,e_2,e_2)|~product(e_2,e_1,e_2)), inference(start_rule)). % 33.57/4.55 cnf(i_0_100, plain, (equalish(e_1,e_2)), inference(closure_rule, [i_0_68])). % 33.57/4.55 cnf(i_0_101, plain, (~product(e_2,e_2,e_2)), inference(closure_rule, [i_0_92])). % 33.57/4.55 cnf(i_0_103, plain, (~product(e_2,e_2,e_2)), inference(closure_rule, [i_0_92])). % 33.57/4.55 cnf(i_0_102, plain, (~product(e_2,e_1,e_2)), inference(extension_rule, [i_0_88])). % 33.57/4.55 cnf(i_0_180, plain, (~group_element(e_1)), inference(closure_rule, [i_0_63])). % 33.57/4.55 cnf(i_0_181, plain, (~group_element(e_2)), inference(closure_rule, [i_0_64])). % 33.57/4.55 cnf(i_0_178, plain, (product(e_2,e_1,e_4)), inference(extension_rule, [i_0_90])). % 33.57/4.55 cnf(i_0_81782, plain, (equalish(e_2,e_1)), inference(closure_rule, [i_0_72])). % 33.57/4.55 cnf(i_0_81784, plain, (~product(e_2,e_2,e_4)), inference(extension_rule, [i_0_88])). % 33.57/4.55 cnf(i_0_81793, plain, (~group_element(e_2)), inference(closure_rule, [i_0_64])). % 33.57/4.55 cnf(i_0_81794, plain, (~group_element(e_2)), inference(closure_rule, [i_0_64])). % 33.57/4.55 cnf(i_0_179, plain, (product(e_2,e_1,e_5)), inference(extension_rule, [i_0_91])). % 33.57/4.55 cnf(i_0_81795, plain, (equalish(e_1,e_2)), inference(closure_rule, [i_0_68])). % 33.57/4.55 cnf(i_0_81797, plain, (~product(e_1,e_1,e_5)), inference(extension_rule, [i_0_88])). % 33.57/4.55 cnf(i_0_81822, plain, (~group_element(e_1)), inference(closure_rule, [i_0_63])). % 33.57/4.55 cnf(i_0_81823, plain, (~group_element(e_1)), inference(closure_rule, [i_0_63])). % 33.57/4.55 cnf(i_0_175, plain, (product(e_2,e_1,e_1)), inference(extension_rule, [i_0_93])). % 33.57/4.55 cnf(i_0_81824, plain, (equalish(e_2,e_1)), inference(closure_rule, [i_0_72])). % 33.57/4.55 cnf(i_0_81826, plain, (~product(e_2,e_2,e_2)), inference(closure_rule, [i_0_92])). % 33.57/4.55 cnf(i_0_81828, plain, (~product(e_2,e_2,e_2)), inference(extension_rule, [i_0_88])). % 33.57/4.55 cnf(i_0_81880, plain, (~group_element(e_2)), inference(closure_rule, [i_0_64])). % 33.57/4.55 cnf(i_0_81881, plain, (~group_element(e_2)), inference(closure_rule, [i_0_64])). % 33.57/4.55 cnf(i_0_81827, plain, (~product(e_1,e_1,e_2)), inference(extension_rule, [i_0_88])). % 33.57/4.55 cnf(i_0_81909, plain, (~group_element(e_1)), inference(closure_rule, [i_0_63])). % 33.57/4.55 cnf(i_0_81910, plain, (~group_element(e_1)), inference(closure_rule, [i_0_63])). % 33.57/4.55 cnf(i_0_177, plain, (product(e_2,e_1,e_3)), inference(extension_rule, [i_0_94])). % 33.57/4.55 cnf(i_0_81911, plain, (equalish(e_2,e_1)), inference(closure_rule, [i_0_72])). % 33.57/4.55 cnf(i_0_81913, plain, (~product(e_2,e_2,e_2)), inference(closure_rule, [i_0_92])). % 33.57/4.55 cnf(i_0_81915, plain, (~product(e_2,e_2,e_2)), inference(closure_rule, [i_0_92])). % 33.57/4.55 cnf(i_0_81914, plain, (~product(e_3,e_1,e_2)), inference(extension_rule, [i_0_88])). % 33.57/4.55 cnf(i_0_81938, plain, (~group_element(e_1)), inference(closure_rule, [i_0_63])). % 33.57/4.55 cnf(i_0_81939, plain, (~group_element(e_3)), inference(closure_rule, [i_0_65])). % 33.57/4.55 cnf(i_0_104, plain, (~product(e_2,e_1,e_2)), inference(extension_rule, [i_0_88])). % 33.57/4.55 cnf(i_0_81967, plain, (~group_element(e_1)), inference(closure_rule, [i_0_63])). % 33.57/4.55 cnf(i_0_81968, plain, (~group_element(e_2)), inference(closure_rule, [i_0_64])). % 33.57/4.55 cnf(i_0_81788, plain, (product(e_2,e_2,e_1)), inference(etableau_closure_rule, [i_0_81788, ...])). % 33.57/4.55 cnf(i_0_81789, plain, (product(e_2,e_2,e_2)), inference(etableau_closure_rule, [i_0_81789, ...])). % 33.57/4.55 cnf(i_0_81790, plain, (product(e_2,e_2,e_3)), inference(etableau_closure_rule, [i_0_81790, ...])). % 33.57/4.55 cnf(i_0_81792, plain, (product(e_2,e_2,e_5)), inference(etableau_closure_rule, [i_0_81792, ...])). % 33.57/4.55 cnf(i_0_81817, plain, (product(e_1,e_1,e_1)), inference(etableau_closure_rule, [i_0_81817, ...])). % 33.57/4.55 cnf(i_0_81818, plain, (product(e_1,e_1,e_2)), inference(etableau_closure_rule, [i_0_81818, ...])). % 33.57/4.55 cnf(i_0_81819, plain, (product(e_1,e_1,e_3)), inference(etableau_closure_rule, [i_0_81819, ...])). % 33.57/4.55 cnf(i_0_81820, plain, (product(e_1,e_1,e_4)), inference(etableau_closure_rule, [i_0_81820, ...])). % 33.57/4.55 cnf(i_0_81875, plain, (product(e_2,e_2,e_1)), inference(etableau_closure_rule, [i_0_81875, ...])). % 33.57/4.55 cnf(i_0_81877, plain, (product(e_2,e_2,e_3)), inference(etableau_closure_rule, [i_0_81877, ...])). % 33.57/4.55 cnf(i_0_81878, plain, (product(e_2,e_2,e_4)), inference(etableau_closure_rule, [i_0_81878, ...])). % 33.57/4.55 cnf(i_0_81879, plain, (product(e_2,e_2,e_5)), inference(etableau_closure_rule, [i_0_81879, ...])). % 33.57/4.55 cnf(i_0_81904, plain, (product(e_1,e_1,e_1)), inference(etableau_closure_rule, [i_0_81904, ...])). % 33.57/4.55 cnf(i_0_81906, plain, (product(e_1,e_1,e_3)), inference(etableau_closure_rule, [i_0_81906, ...])). % 33.57/4.55 cnf(i_0_81907, plain, (product(e_1,e_1,e_4)), inference(etableau_closure_rule, [i_0_81907, ...])). % 33.57/4.55 cnf(i_0_81908, plain, (product(e_1,e_1,e_5)), inference(etableau_closure_rule, [i_0_81908, ...])). % 33.57/4.55 cnf(i_0_81933, plain, (product(e_3,e_1,e_1)), inference(etableau_closure_rule, [i_0_81933, ...])). % 33.57/4.55 cnf(i_0_81935, plain, (product(e_3,e_1,e_3)), inference(etableau_closure_rule, [i_0_81935, ...])). % 33.57/4.55 # End printing tableau % 33.57/4.55 # SZS output end % 33.57/4.55 # Branches closed with saturation will be marked with an "s" % 33.57/4.56 # Child (4717) has found a proof. % 33.57/4.56 % 33.57/4.56 # Proof search is over... % 33.57/4.56 # Freeing feature tree %------------------------------------------------------------------------------