%------------------------------------------------------------------------------ % File : Etableau---0.67 % Problem : GRP126-1.005 : 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 09:04:42 EDT 2022 % Result : Satisfiable 84.54s 18.76s % Output : CNFRefutation 84.54s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.05/0.10 % Problem : GRP126-1.005 : TPTP v8.1.0. Released v1.2.0. % 0.05/0.10 % Command : etableau --auto --tsmdo --quicksat=10000 --tableau=1 --tableau-saturation=1 -s -p --tableau-cores=8 --cpu-limit=%d %s % 0.10/0.29 % Computer : n032.cluster.edu % 0.10/0.29 % Model : x86_64 x86_64 % 0.10/0.29 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.10/0.29 % Memory : 8042.1875MB % 0.10/0.29 % OS : Linux 3.10.0-693.el7.x86_64 % 0.10/0.29 % CPULimit : 300 % 0.10/0.29 % WCLimit : 600 % 0.10/0.29 % DateTime : Tue Jun 14 03:11:12 EDT 2022 % 0.10/0.30 % CPUTime : % 0.14/0.32 # No SInE strategy applied % 0.14/0.32 # Auto-Mode selected heuristic G_E___208_C18_F1_SE_CS_SP_PS_S5PRR_RG_S04AN % 0.14/0.32 # and selection function SelectComplexExceptUniqMaxHorn. % 0.14/0.32 # % 0.14/0.32 # Presaturation interreduction done % 0.14/0.32 # Number of axioms: 31 Number of unprocessed: 31 % 0.14/0.32 # Tableaux proof search. % 0.14/0.32 # APR header successfully linked. % 0.14/0.32 # Hello from C++ % 1.81/1.98 # The folding up rule is enabled... % 1.81/1.98 # Local unification is enabled... % 1.81/1.98 # Any saturation attempts will use folding labels... % 1.81/1.98 # 31 beginning clauses after preprocessing and clausification % 1.81/1.98 # Creating start rules for all 1 conjectures. % 1.81/1.98 # There are 1 start rule candidates: % 1.81/1.98 # Found 26 unit axioms. % 1.81/1.98 # 1 start rule tableaux created. % 1.81/1.98 # 5 extension rule candidate clauses % 1.81/1.98 # 26 unit axiom clauses % 1.81/1.98 % 1.81/1.98 # Requested 8, 32 cores available to the main process. % 1.81/1.98 # There are not enough tableaux to fork, creating more from the initial 1 % 8.88/9.11 # Returning from population with 13 new_tableaux and 0 remaining starting tableaux. % 8.88/9.11 # We now have 13 tableaux to operate on % 54.46/14.97 # Ran out of tableaux, making start rules for all clauses % 56.11/15.22 # Ran out of tableaux, making start rules for all clauses % 84.54/18.76 # 28347 Satisfiable branch % 84.54/18.76 # Satisfiable branch found. % 84.54/18.76 # There were 47 total branch saturation attempts. % 84.54/18.76 # There were 38 of these attempts blocked. % 84.54/18.76 # There were 0 deferred branch saturation attempts. % 84.54/18.76 # There were 0 free duplicated saturations. % 84.54/18.76 # There were 2 total successful branch saturations. % 84.54/18.76 # There were 0 successful branch saturations in interreduction. % 84.54/18.76 # There were 0 successful branch saturations on the branch. % 84.54/18.76 # There were 2 successful branch saturations after the branch. % 84.54/18.76 # SZS status Satisfiable for /export/starexec/sandbox2/benchmark/theBenchmark.p % 84.54/18.76 # SZS output start for /export/starexec/sandbox2/benchmark/theBenchmark.p % 84.54/18.76 # Begin clausification derivation % 84.54/18.76 % 84.54/18.76 # End clausification derivation % 84.54/18.76 # Begin listing active clauses obtained from FOF to CNF conversion % 84.54/18.76 cnf(i_0_32, plain, (group_element(e_1))). % 84.54/18.76 cnf(i_0_33, plain, (group_element(e_2))). % 84.54/18.76 cnf(i_0_34, plain, (group_element(e_3))). % 84.54/18.76 cnf(i_0_35, plain, (group_element(e_4))). % 84.54/18.76 cnf(i_0_36, plain, (group_element(e_5))). % 84.54/18.76 cnf(i_0_61, plain, (product(X1,X1,X1))). % 84.54/18.76 cnf(i_0_37, plain, (~equalish(e_1,e_2))). % 84.54/18.76 cnf(i_0_38, plain, (~equalish(e_1,e_3))). % 84.54/18.76 cnf(i_0_39, plain, (~equalish(e_1,e_4))). % 84.54/18.76 cnf(i_0_40, plain, (~equalish(e_1,e_5))). % 84.54/18.76 cnf(i_0_41, plain, (~equalish(e_2,e_1))). % 84.54/18.76 cnf(i_0_42, plain, (~equalish(e_2,e_3))). % 84.54/18.76 cnf(i_0_43, plain, (~equalish(e_2,e_4))). % 84.54/18.76 cnf(i_0_44, plain, (~equalish(e_2,e_5))). % 84.54/18.76 cnf(i_0_45, plain, (~equalish(e_3,e_1))). % 84.54/18.76 cnf(i_0_46, plain, (~equalish(e_3,e_2))). % 84.54/18.76 cnf(i_0_47, plain, (~equalish(e_3,e_4))). % 84.54/18.76 cnf(i_0_48, plain, (~equalish(e_3,e_5))). % 84.54/18.76 cnf(i_0_49, plain, (~equalish(e_4,e_1))). % 84.54/18.76 cnf(i_0_50, plain, (~equalish(e_4,e_2))). % 84.54/18.76 cnf(i_0_51, plain, (~equalish(e_4,e_3))). % 84.54/18.76 cnf(i_0_52, plain, (~equalish(e_4,e_5))). % 84.54/18.76 cnf(i_0_53, plain, (~equalish(e_5,e_1))). % 84.54/18.76 cnf(i_0_54, plain, (~equalish(e_5,e_2))). % 84.54/18.76 cnf(i_0_55, plain, (~equalish(e_5,e_3))). % 84.54/18.76 cnf(i_0_56, plain, (~equalish(e_5,e_4))). % 84.54/18.76 cnf(i_0_58, plain, (equalish(X1,X2)|~product(X3,X4,X2)|~product(X3,X4,X1))). % 84.54/18.76 cnf(i_0_59, plain, (equalish(X1,X2)|~product(X3,X2,X4)|~product(X3,X1,X4))). % 84.54/18.76 cnf(i_0_60, plain, (equalish(X1,X2)|~product(X2,X3,X4)|~product(X1,X3,X4))). % 84.54/18.76 cnf(i_0_62, negated_conjecture, (product(X1,X2,X3)|~product(X3,X4,X2)|~product(X4,X3,X1))). % 84.54/18.76 cnf(i_0_57, plain, (product(X1,X2,e_5)|product(X1,X2,e_4)|product(X1,X2,e_3)|product(X1,X2,e_2)|product(X1,X2,e_1)|~group_element(X2)|~group_element(X1))). % 84.54/18.76 # End listing active clauses. There is an equivalent clause to each of these in the clausification! % 84.54/18.76 # Begin printing tableau % 84.54/18.76 # Found 113 steps % 84.54/18.76 cnf(i_0_62, negated_conjecture, (product(e_1,e_1,e_1)|~product(e_1,e_1,e_1)|~product(e_1,e_1,e_1)), inference(start_rule)). % 84.54/18.76 cnf(i_0_97, plain, (product(e_2,e_1,e_2)), inference(closure_rule, [i_0_0])). % 84.54/18.76 cnf(i_0_64, plain, (~product(e_1,e_1,e_1)), inference(closure_rule, [i_0_61])). % 84.54/18.76 cnf(i_0_65, plain, (~product(e_1,e_1,e_1)), inference(closure_rule, [i_0_61])). % 84.54/18.76 cnf(i_0_63, plain, (product(e_1,e_1,e_1)), inference(extension_rule, [i_0_60])). % 84.54/18.76 cnf(i_0_72, plain, (equalish(e_1,e_2)), inference(closure_rule, [i_0_37])). % 84.54/18.76 cnf(i_0_73, plain, (~product(e_2,e_1,e_1)), inference(extension_rule, [i_0_57])). % 84.54/18.76 cnf(i_0_99, plain, (~group_element(e_1)), inference(closure_rule, [i_0_32])). % 84.54/18.76 cnf(i_0_100, plain, (~group_element(e_2)), inference(closure_rule, [i_0_33])). % 84.54/18.76 cnf(i_0_94, plain, (product(e_2,e_1,e_5)), inference(extension_rule, [i_0_59])). % 84.54/18.76 cnf(i_0_634102, plain, (equalish(e_2,e_1)), inference(closure_rule, [i_0_41])). % 84.54/18.76 cnf(i_0_634104, plain, (~product(e_2,e_2,e_5)), inference(extension_rule, [i_0_62])). % 84.54/18.76 cnf(i_0_1054840, plain, (~product(e_5,e_1,e_2)), inference(extension_rule, [i_0_57])). % 84.54/18.76 cnf(i_0_1054847, plain, (~group_element(e_1)), inference(closure_rule, [i_0_32])). % 84.54/18.76 cnf(i_0_1054848, plain, (~group_element(e_5)), inference(closure_rule, [i_0_36])). % 84.54/18.76 cnf(i_0_1054842, plain, (product(e_5,e_1,e_5)), inference(extension_rule, [i_0_60])). % 84.54/18.76 cnf(i_0_1054849, plain, (equalish(e_1,e_5)), inference(closure_rule, [i_0_40])). % 84.54/18.76 cnf(i_0_1054851, plain, (~product(e_1,e_1,e_5)), inference(extension_rule, [i_0_62])). % 84.54/18.76 cnf(i_0_1054843, plain, (product(e_5,e_1,e_4)), inference(extension_rule, [i_0_59])). % 84.54/18.76 cnf(i_0_1054861, plain, (equalish(e_2,e_1)), inference(closure_rule, [i_0_41])). % 84.54/18.76 cnf(i_0_1054863, plain, (~product(e_5,e_2,e_4)), inference(extension_rule, [i_0_57])). % 84.54/18.76 cnf(i_0_1054872, plain, (~group_element(e_2)), inference(closure_rule, [i_0_33])). % 84.54/18.76 cnf(i_0_1054873, plain, (~group_element(e_5)), inference(closure_rule, [i_0_36])). % 84.54/18.76 cnf(i_0_1054844, plain, (product(e_5,e_1,e_3)), inference(extension_rule, [i_0_58])). % 84.54/18.76 cnf(i_0_1054874, plain, (equalish(e_1,e_3)), inference(closure_rule, [i_0_38])). % 84.54/18.76 cnf(i_0_1054876, plain, (~product(e_5,e_1,e_1)), inference(extension_rule, [i_0_62])). % 84.54/18.76 cnf(i_0_1054881, plain, (~product(e_1,e_1,e_1)), inference(closure_rule, [i_0_61])). % 84.54/18.76 cnf(i_0_1054846, plain, (product(e_5,e_1,e_1)), inference(extension_rule, [i_0_60])). % 84.54/18.76 cnf(i_0_1054883, plain, (equalish(e_1,e_5)), inference(closure_rule, [i_0_40])). % 84.54/18.76 cnf(i_0_1054885, plain, (~product(e_1,e_1,e_1)), inference(closure_rule, [i_0_61])). % 84.54/18.76 cnf(i_0_1054841, plain, (~product(e_1,e_5,e_2)), inference(extension_rule, [i_0_57])). % 84.54/18.76 cnf(i_0_1054894, plain, (~group_element(e_5)), inference(closure_rule, [i_0_36])). % 84.54/18.76 cnf(i_0_1054895, plain, (~group_element(e_1)), inference(closure_rule, [i_0_32])). % 84.54/18.76 cnf(i_0_1054889, plain, (product(e_1,e_5,e_5)), inference(extension_rule, [i_0_59])). % 84.54/18.76 cnf(i_0_1054896, plain, (equalish(e_1,e_5)), inference(closure_rule, [i_0_40])). % 84.54/18.76 cnf(i_0_1054898, plain, (~product(e_1,e_1,e_5)), inference(extension_rule, [i_0_62])). % 84.54/18.76 cnf(i_0_1054890, plain, (product(e_1,e_5,e_4)), inference(extension_rule, [i_0_58])). % 84.54/18.76 cnf(i_0_1054905, plain, (equalish(e_1,e_4)), inference(closure_rule, [i_0_39])). % 84.54/18.76 cnf(i_0_1054907, plain, (~product(e_1,e_5,e_1)), inference(extension_rule, [i_0_62])). % 84.54/18.76 cnf(i_0_1054923, plain, (~product(e_1,e_1,e_1)), inference(closure_rule, [i_0_61])). % 84.54/18.76 cnf(i_0_1054891, plain, (product(e_1,e_5,e_3)), inference(extension_rule, [i_0_60])). % 84.54/18.76 cnf(i_0_1054924, plain, (equalish(e_2,e_1)), inference(closure_rule, [i_0_41])). % 84.54/18.76 cnf(i_0_1054926, plain, (~product(e_2,e_5,e_3)), inference(extension_rule, [i_0_57])). % 84.54/18.76 cnf(i_0_1054932, plain, (~group_element(e_5)), inference(closure_rule, [i_0_36])). % 84.54/18.76 cnf(i_0_1054933, plain, (~group_element(e_2)), inference(closure_rule, [i_0_33])). % 84.54/18.76 cnf(i_0_1054893, plain, (product(e_1,e_5,e_1)), inference(extension_rule, [i_0_59])). % 84.54/18.76 cnf(i_0_1054934, plain, (equalish(e_1,e_5)), inference(closure_rule, [i_0_40])). % 84.54/18.76 cnf(i_0_1054936, plain, (~product(e_1,e_1,e_1)), inference(closure_rule, [i_0_61])). % 84.54/18.76 cnf(i_0_96, plain, (product(e_2,e_1,e_3)), inference(extension_rule, [i_0_62])). % 84.54/18.76 cnf(i_0_1054978, plain, (product(e_2,e_3,e_2)), inference(extension_rule, [i_0_60])). % 84.54/18.76 cnf(i_0_1054981, plain, (equalish(e_1,e_2)), inference(closure_rule, [i_0_37])). % 84.54/18.76 cnf(i_0_1054983, plain, (~product(e_1,e_3,e_2)), inference(extension_rule, [i_0_57])). % 84.54/18.76 cnf(i_0_1054989, plain, (~group_element(e_3)), inference(closure_rule, [i_0_34])). % 84.54/18.76 cnf(i_0_1054990, plain, (~group_element(e_1)), inference(closure_rule, [i_0_32])). % 84.54/18.76 cnf(i_0_1054984, plain, (product(e_1,e_3,e_5)), inference(extension_rule, [i_0_59])). % 84.54/18.76 cnf(i_0_1054991, plain, (equalish(e_1,e_3)), inference(closure_rule, [i_0_38])). % 84.54/18.76 cnf(i_0_1054993, plain, (~product(e_1,e_1,e_5)), inference(extension_rule, [i_0_62])). % 84.54/18.76 cnf(i_0_1054985, plain, (product(e_1,e_3,e_4)), inference(extension_rule, [i_0_58])). % 84.54/18.76 cnf(i_0_1055000, plain, (equalish(e_1,e_4)), inference(closure_rule, [i_0_39])). % 84.54/18.76 cnf(i_0_1055002, plain, (~product(e_1,e_3,e_1)), inference(extension_rule, [i_0_62])). % 84.54/18.76 cnf(i_0_1055018, plain, (~product(e_1,e_1,e_1)), inference(closure_rule, [i_0_61])). % 84.54/18.76 cnf(i_0_1054986, plain, (product(e_1,e_3,e_3)), inference(extension_rule, [i_0_60])). % 84.54/18.76 cnf(i_0_1055019, plain, (equalish(e_2,e_1)), inference(closure_rule, [i_0_41])). % 84.54/18.76 cnf(i_0_1055021, plain, (~product(e_2,e_3,e_3)), inference(extension_rule, [i_0_62])). % 84.54/18.76 cnf(i_0_1055036, plain, (~product(e_3,e_3,e_3)), inference(closure_rule, [i_0_61])). % 84.54/18.76 cnf(i_0_1054988, plain, (product(e_1,e_3,e_1)), inference(extension_rule, [i_0_59])). % 84.54/18.76 cnf(i_0_1055045, plain, (equalish(e_1,e_3)), inference(closure_rule, [i_0_38])). % 84.54/18.76 cnf(i_0_1055047, plain, (~product(e_1,e_1,e_1)), inference(closure_rule, [i_0_61])). % 84.54/18.76 cnf(i_0_1054980, plain, (~product(e_1,e_2,e_2)), inference(extension_rule, [i_0_57])). % 84.54/18.76 cnf(i_0_1055053, plain, (~group_element(e_2)), inference(closure_rule, [i_0_33])). % 84.54/18.76 cnf(i_0_1055054, plain, (~group_element(e_1)), inference(closure_rule, [i_0_32])). % 84.54/18.76 cnf(i_0_1055048, plain, (product(e_1,e_2,e_5)), inference(extension_rule, [i_0_58])). % 84.54/18.76 cnf(i_0_1055055, plain, (equalish(e_1,e_5)), inference(closure_rule, [i_0_40])). % 84.54/18.76 cnf(i_0_1055057, plain, (~product(e_1,e_2,e_1)), inference(extension_rule, [i_0_62])). % 84.54/18.76 cnf(i_0_1055063, plain, (~product(e_1,e_1,e_1)), inference(closure_rule, [i_0_61])). % 84.54/18.76 cnf(i_0_1055062, plain, (~product(e_1,e_1,e_2)), inference(extension_rule, [i_0_62])). % 84.54/18.76 cnf(i_0_1055049, plain, (product(e_1,e_2,e_4)), inference(extension_rule, [i_0_60])). % 84.54/18.76 cnf(i_0_1055083, plain, (equalish(e_2,e_1)), inference(closure_rule, [i_0_41])). % 84.54/18.76 cnf(i_0_1055085, plain, (~product(e_2,e_2,e_4)), inference(extension_rule, [i_0_57])). % 84.54/18.76 cnf(i_0_1055094, plain, (~group_element(e_2)), inference(closure_rule, [i_0_33])). % 84.54/18.76 cnf(i_0_1055095, plain, (~group_element(e_2)), inference(closure_rule, [i_0_33])). % 84.54/18.76 cnf(i_0_1055089, plain, (product(e_2,e_2,e_5)), inference(extension_rule, [i_0_59])). % 84.54/18.76 cnf(i_0_1055096, plain, (equalish(e_1,e_2)), inference(closure_rule, [i_0_37])). % 84.54/18.76 cnf(i_0_1055091, plain, (product(e_2,e_2,e_3)), inference(extension_rule, [i_0_58])). % 84.54/18.76 cnf(i_0_1055099, plain, (equalish(e_1,e_3)), inference(closure_rule, [i_0_38])). % 84.54/18.76 cnf(i_0_1055092, plain, (product(e_2,e_2,e_2)), inference(extension_rule, [i_0_62])). % 84.54/18.76 cnf(i_0_1055102, plain, (product(e_1,e_2,e_2)), inference(closure_rule, [i_0_1054980])). % 84.54/18.76 cnf(i_0_1055093, plain, (product(e_2,e_2,e_1)), inference(extension_rule, [i_0_60])). % 84.54/18.76 cnf(i_0_1055105, plain, (equalish(e_1,e_2)), inference(closure_rule, [i_0_37])). % 84.54/18.76 cnf(i_0_1055050, plain, (product(e_1,e_2,e_3)), inference(extension_rule, [i_0_59])). % 84.54/18.76 cnf(i_0_1055115, plain, (equalish(e_1,e_2)), inference(closure_rule, [i_0_37])). % 84.54/18.76 cnf(i_0_1055117, plain, (~product(e_1,e_1,e_3)), inference(extension_rule, [i_0_62])). % 84.54/18.76 cnf(i_0_1055129, plain, (~product(e_3,e_1,e_1)), inference(extension_rule, [i_0_57])). % 84.54/18.76 cnf(i_0_1055136, plain, (~group_element(e_1)), inference(closure_rule, [i_0_32])). % 84.54/18.76 cnf(i_0_1055137, plain, (~group_element(e_3)), inference(closure_rule, [i_0_34])). % 84.54/18.76 cnf(i_0_1055130, plain, (~product(e_1,e_3,e_1)), inference(extension_rule, [i_0_62])). % 84.54/18.76 cnf(i_0_1055052, plain, (product(e_1,e_2,e_1)), inference(extension_rule, [i_0_60])). % 84.54/18.76 cnf(i_0_1055191, plain, (equalish(e_2,e_1)), inference(closure_rule, [i_0_41])). % 84.54/18.76 cnf(i_0_1055193, plain, (~product(e_2,e_2,e_1)), inference(extension_rule, [i_0_57])). % 84.54/18.76 cnf(i_0_1055202, plain, (~group_element(e_2)), inference(closure_rule, [i_0_33])). % 84.54/18.76 cnf(i_0_1055203, plain, (~group_element(e_2)), inference(closure_rule, [i_0_33])). % 84.54/18.76 cnf(i_0_1055197, plain, (product(e_2,e_2,e_5)), inference(extension_rule, [i_0_59])). % 84.54/18.76 cnf(i_0_1055204, plain, (equalish(e_1,e_2)), inference(closure_rule, [i_0_37])). % 84.54/18.76 cnf(i_0_1055198, plain, (product(e_2,e_2,e_4)), inference(extension_rule, [i_0_62])). % 84.54/18.76 cnf(i_0_1055209, plain, (~product(e_2,e_2,e_2)), inference(closure_rule, [i_0_61])). % 84.54/18.76 cnf(i_0_1055199, plain, (product(e_2,e_2,e_3)), inference(extension_rule, [i_0_58])). % 84.54/18.76 cnf(i_0_1055212, plain, (~product(e_2,e_2,e_2)), inference(closure_rule, [i_0_61])). % 84.54/18.76 cnf(i_0_1055210, plain, (equalish(e_2,e_3)), inference(closure_rule, [i_0_42])). % 84.54/18.76 cnf(i_0_1055200, plain, (product(e_2,e_2,e_2)), inference(extension_rule, [i_0_60])). % 84.54/18.76 cnf(i_0_1055215, plain, (~product(e_2,e_2,e_2)), inference(closure_rule, [i_0_61])). % 84.54/18.76 cnf(i_0_95, plain, (product(e_2,e_1,e_4)), inference(extension_rule, [i_0_59])). % 84.54/18.76 cnf(i_0_1055223, plain, (equalish(e_2,e_1)), inference(closure_rule, [i_0_41])). % 84.54/18.76 cnf(i_0_1054867, plain, (product(e_5,e_2,e_5)), inference(etableau_closure_rule, [i_0_1054867, ...])). % 84.54/18.76 # End printing tableau % 84.54/18.76 # SZS output end % 84.54/18.76 # Branches closed with saturation will be marked with an "s" % 84.54/18.80 # Child (28347) has found a proof. % 84.54/18.80 % 84.54/18.80 # Proof search is over... % 84.54/18.80 # Freeing feature tree %------------------------------------------------------------------------------