%------------------------------------------------------------------------------ % File : Etableau---0.67 % Problem : GRP124-1.005 : 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 : n025.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 09:04:34 EDT 2022 % Result : Satisfiable 249.80s 31.73s % Output : CNFRefutation 249.80s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.04/0.12 % Problem : GRP124-1.005 : TPTP v8.1.0. Released v1.2.0. % 0.04/0.12 % Command : etableau --auto --tsmdo --quicksat=10000 --tableau=1 --tableau-saturation=1 -s -p --tableau-cores=8 --cpu-limit=%d %s % 0.12/0.33 % Computer : n025.cluster.edu % 0.12/0.33 % Model : x86_64 x86_64 % 0.12/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.12/0.33 % Memory : 8042.1875MB % 0.12/0.33 % OS : Linux 3.10.0-693.el7.x86_64 % 0.12/0.33 % CPULimit : 300 % 0.12/0.33 % WCLimit : 600 % 0.12/0.33 % DateTime : Mon Jun 13 22:03:09 EDT 2022 % 0.12/0.33 % CPUTime : % 0.19/0.36 # No SInE strategy applied % 0.19/0.36 # Auto-Mode selected heuristic G_E___208_C18_F1_SE_CS_SP_PS_S5PRR_RG_S04AN % 0.19/0.36 # and selection function SelectComplexExceptUniqMaxHorn. % 0.19/0.36 # % 0.19/0.36 # Presaturation interreduction done % 0.19/0.36 # Number of axioms: 32 Number of unprocessed: 32 % 0.19/0.36 # Tableaux proof search. % 0.19/0.36 # APR header successfully linked. % 0.19/0.36 # Hello from C++ % 0.19/0.36 # The folding up rule is enabled... % 0.19/0.36 # Local unification is enabled... % 0.19/0.36 # Any saturation attempts will use folding labels... % 0.19/0.36 # 32 beginning clauses after preprocessing and clausification % 0.19/0.36 # Creating start rules for all 2 conjectures. % 0.19/0.36 # There are 2 start rule candidates: % 0.19/0.36 # Found 26 unit axioms. % 0.19/0.36 # Unsuccessfully attempted saturation on 1 start tableaux, moving on. % 0.19/0.36 # 2 start rule tableaux created. % 0.19/0.36 # 6 extension rule candidate clauses % 0.19/0.36 # 26 unit axiom clauses % 0.19/0.36 % 0.19/0.36 # Requested 8, 32 cores available to the main process. % 0.19/0.36 # There are not enough tableaux to fork, creating more from the initial 2 % 0.19/0.36 # Returning from population with 8 new_tableaux and 0 remaining starting tableaux. % 0.19/0.36 # We now have 8 tableaux to operate on % 249.80/31.72 # 12012 Satisfiable branch % 249.80/31.73 # Satisfiable branch found. % 249.80/31.73 # There were 38 total branch saturation attempts. % 249.80/31.73 # There were 0 of these attempts blocked. % 249.80/31.73 # There were 0 deferred branch saturation attempts. % 249.80/31.73 # There were 0 free duplicated saturations. % 249.80/31.73 # There were 32 total successful branch saturations. % 249.80/31.73 # There were 8 successful branch saturations in interreduction. % 249.80/31.73 # There were 0 successful branch saturations on the branch. % 249.80/31.73 # There were 24 successful branch saturations after the branch. % 249.80/31.73 # SZS status Satisfiable for /export/starexec/sandbox/benchmark/theBenchmark.p % 249.80/31.73 # SZS output start for /export/starexec/sandbox/benchmark/theBenchmark.p % 249.80/31.73 # Begin clausification derivation % 249.80/31.73 % 249.80/31.73 # End clausification derivation % 249.80/31.73 # Begin listing active clauses obtained from FOF to CNF conversion % 249.80/31.73 cnf(i_0_33, plain, (group_element(e_1))). % 249.80/31.73 cnf(i_0_34, plain, (group_element(e_2))). % 249.80/31.73 cnf(i_0_35, plain, (group_element(e_3))). % 249.80/31.73 cnf(i_0_36, plain, (group_element(e_4))). % 249.80/31.73 cnf(i_0_37, plain, (group_element(e_5))). % 249.80/31.73 cnf(i_0_62, plain, (product(X1,X1,X1))). % 249.80/31.73 cnf(i_0_38, plain, (~equalish(e_1,e_2))). % 249.80/31.73 cnf(i_0_39, plain, (~equalish(e_1,e_3))). % 249.80/31.73 cnf(i_0_40, plain, (~equalish(e_1,e_4))). % 249.80/31.73 cnf(i_0_41, plain, (~equalish(e_1,e_5))). % 249.80/31.73 cnf(i_0_42, plain, (~equalish(e_2,e_1))). % 249.80/31.73 cnf(i_0_43, plain, (~equalish(e_2,e_3))). % 249.80/31.73 cnf(i_0_44, plain, (~equalish(e_2,e_4))). % 249.80/31.73 cnf(i_0_45, plain, (~equalish(e_2,e_5))). % 249.80/31.73 cnf(i_0_46, plain, (~equalish(e_3,e_1))). % 249.80/31.73 cnf(i_0_47, plain, (~equalish(e_3,e_2))). % 249.80/31.73 cnf(i_0_48, plain, (~equalish(e_3,e_4))). % 249.80/31.73 cnf(i_0_49, plain, (~equalish(e_3,e_5))). % 249.80/31.73 cnf(i_0_50, plain, (~equalish(e_4,e_1))). % 249.80/31.73 cnf(i_0_51, plain, (~equalish(e_4,e_2))). % 249.80/31.73 cnf(i_0_52, plain, (~equalish(e_4,e_3))). % 249.80/31.73 cnf(i_0_53, plain, (~equalish(e_4,e_5))). % 249.80/31.73 cnf(i_0_54, plain, (~equalish(e_5,e_1))). % 249.80/31.73 cnf(i_0_55, plain, (~equalish(e_5,e_2))). % 249.80/31.73 cnf(i_0_56, plain, (~equalish(e_5,e_3))). % 249.80/31.73 cnf(i_0_57, plain, (~equalish(e_5,e_4))). % 249.80/31.73 cnf(i_0_59, plain, (equalish(X1,X2)|~product(X3,X4,X2)|~product(X3,X4,X1))). % 249.80/31.73 cnf(i_0_60, plain, (equalish(X1,X2)|~product(X3,X2,X4)|~product(X3,X1,X4))). % 249.80/31.73 cnf(i_0_61, plain, (equalish(X1,X2)|~product(X2,X3,X4)|~product(X1,X3,X4))). % 249.80/31.73 cnf(i_0_64, negated_conjecture, (equalish(X1,X2)|~product(X3,X4,X2)|~product(X3,X5,X1)|~product(X4,X2,X6)|~product(X5,X1,X6))). % 249.80/31.73 cnf(i_0_63, negated_conjecture, (equalish(X1,X2)|~product(X3,X2,X4)|~product(X3,X1,X5)|~product(X2,X4,X6)|~product(X1,X5,X6))). % 249.80/31.73 cnf(i_0_58, 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))). % 249.80/31.73 # End listing active clauses. There is an equivalent clause to each of these in the clausification! % 249.80/31.73 # Begin printing tableau % 249.80/31.73 # Found 173 steps % 249.80/31.73 cnf(i_0_63, negated_conjecture, (equalish(e_1,e_2)|~product(e_2,e_2,e_2)|~product(e_2,e_1,e_5)|~product(e_2,e_2,e_2)|~product(e_1,e_5,e_2)), inference(start_rule)). % 249.80/31.73 cnf(i_0_142052, plain, (product(e_2,X3,e_5)), inference(closure_rule, [i_0_0])). % 249.80/31.73 cnf(i_0_142053, plain, (product(e_2,X3,e_4)), inference(closure_rule, [i_0_0])). % 249.80/31.73 cnf(i_0_142054, plain, (product(e_2,X3,e_3)), inference(closure_rule, [i_0_0])). % 249.80/31.73 cnf(i_0_142055, plain, (product(e_2,X3,e_2)), inference(closure_rule, [i_0_0])). % 249.80/31.73 cnf(i_0_142057, plain, (~group_element(X3)), inference(closure_rule, [i_0_0])). % 249.80/31.73 cnf(i_0_142079, plain, (product(e_1,e_4,e_4)), inference(closure_rule, [i_0_0])). % 249.80/31.73 cnf(i_0_142081, plain, (product(e_1,e_4,e_2)), inference(closure_rule, [i_0_0])). % 249.80/31.73 cnf(i_0_142082, plain, (product(e_1,e_4,e_1)), inference(closure_rule, [i_0_0])). % 249.80/31.73 cnf(i_0_142105, plain, (product(X3,e_1,e_4)), inference(closure_rule, [i_0_0])). % 249.80/31.73 cnf(i_0_142106, plain, (product(X3,e_1,e_3)), inference(closure_rule, [i_0_0])). % 249.80/31.73 cnf(i_0_142107, plain, (product(X3,e_1,e_2)), inference(closure_rule, [i_0_0])). % 249.80/31.73 cnf(i_0_142108, plain, (product(X3,e_1,e_1)), inference(closure_rule, [i_0_0])). % 249.80/31.73 cnf(i_0_142110, plain, (~group_element(X3)), inference(closure_rule, [i_0_0])). % 249.80/31.73 cnf(i_0_141899, plain, (product(e_2,e_2,e_2)), inference(closure_rule, [i_0_0])). % 249.80/31.73 cnf(i_0_141900, plain, (product(e_2,e_2,e_1)), inference(closure_rule, [i_0_0])). % 249.80/31.73 cnf(i_0_141922, plain, (product(e_1,e_1,e_5)), inference(closure_rule, [i_0_0])). % 249.80/31.73 cnf(i_0_141923, plain, (product(e_1,e_1,e_4)), inference(closure_rule, [i_0_0])). % 249.80/31.73 cnf(i_0_141924, plain, (product(e_1,e_1,e_3)), inference(closure_rule, [i_0_0])). % 249.80/31.73 cnf(i_0_141926, plain, (product(e_1,e_1,e_1)), inference(closure_rule, [i_0_0])). % 249.80/31.73 cnf(i_0_142000, plain, (product(e_1,e_1,e_5)), inference(closure_rule, [i_0_0])). % 249.80/31.73 cnf(i_0_142001, plain, (product(e_1,e_1,e_4)), inference(closure_rule, [i_0_0])). % 249.80/31.73 cnf(i_0_142002, plain, (product(e_1,e_1,e_3)), inference(closure_rule, [i_0_0])). % 249.80/31.73 cnf(i_0_142004, plain, (product(e_1,e_1,e_1)), inference(closure_rule, [i_0_0])). % 249.80/31.73 cnf(i_0_141974, plain, (product(e_2,e_2,e_5)), inference(closure_rule, [i_0_0])). % 249.80/31.73 cnf(i_0_141975, plain, (product(e_2,e_2,e_4)), inference(closure_rule, [i_0_0])). % 249.80/31.73 cnf(i_0_141976, plain, (product(e_2,e_2,e_3)), inference(closure_rule, [i_0_0])). % 249.80/31.73 cnf(i_0_141978, plain, (product(e_2,e_2,e_1)), inference(closure_rule, [i_0_0])). % 249.80/31.73 cnf(i_0_268258, plain, (product(e_5,e_5,e_5)), inference(closure_rule, [i_0_0])). % 249.80/31.73 cnf(i_0_268259, plain, (product(e_5,e_5,e_4)), inference(closure_rule, [i_0_0])). % 249.80/31.73 cnf(i_0_268260, plain, (product(e_5,e_5,e_3)), inference(closure_rule, [i_0_0])). % 249.80/31.73 cnf(i_0_268261, plain, (product(e_5,e_5,e_2)), inference(closure_rule, [i_0_0])). % 249.80/31.73 cnf(i_0_268232, plain, (product(e_1,e_1,e_5)), inference(closure_rule, [i_0_0])). % 249.80/31.73 cnf(i_0_268233, plain, (product(e_1,e_1,e_4)), inference(closure_rule, [i_0_0])). % 249.80/31.73 cnf(i_0_268234, plain, (product(e_1,e_1,e_3)), inference(closure_rule, [i_0_0])). % 249.80/31.73 cnf(i_0_268235, plain, (product(e_1,e_1,e_2)), inference(closure_rule, [i_0_0])). % 249.80/31.73 cnf(i_0_268128, plain, (product(e_1,e_1,e_5)), inference(closure_rule, [i_0_0])). % 249.80/31.73 cnf(i_0_268130, plain, (product(e_1,e_1,e_3)), inference(closure_rule, [i_0_0])). % 249.80/31.73 cnf(i_0_268131, plain, (product(e_1,e_1,e_2)), inference(closure_rule, [i_0_0])). % 249.80/31.73 cnf(i_0_65, plain, (equalish(e_1,e_2)), inference(closure_rule, [i_0_38])). % 249.80/31.73 cnf(i_0_66, plain, (~product(e_2,e_2,e_2)), inference(closure_rule, [i_0_62])). % 249.80/31.73 cnf(i_0_68, plain, (~product(e_2,e_2,e_2)), inference(closure_rule, [i_0_62])). % 249.80/31.73 cnf(i_0_67, plain, (~product(e_2,e_1,e_5)), inference(extension_rule, [i_0_58])). % 249.80/31.73 cnf(i_0_89, plain, (~group_element(e_1)), inference(closure_rule, [i_0_33])). % 249.80/31.73 cnf(i_0_90, plain, (~group_element(e_2)), inference(closure_rule, [i_0_34])). % 249.80/31.73 cnf(i_0_86, plain, (product(e_2,e_1,e_3)), inference(extension_rule, [i_0_60])). % 249.80/31.73 cnf(i_0_141890, plain, (equalish(e_2,e_1)), inference(closure_rule, [i_0_42])). % 249.80/31.73 cnf(i_0_141892, plain, (~product(e_2,e_2,e_3)), inference(extension_rule, [i_0_58])). % 249.80/31.73 cnf(i_0_141901, plain, (~group_element(e_2)), inference(closure_rule, [i_0_34])). % 249.80/31.73 cnf(i_0_141902, plain, (~group_element(e_2)), inference(closure_rule, [i_0_34])). % 249.80/31.73 cnf(i_0_87, plain, (product(e_2,e_1,e_2)), inference(extension_rule, [i_0_61])). % 249.80/31.73 cnf(i_0_141903, plain, (equalish(e_1,e_2)), inference(closure_rule, [i_0_38])). % 249.80/31.73 cnf(i_0_141905, plain, (~product(e_1,e_1,e_2)), inference(extension_rule, [i_0_58])). % 249.80/31.73 cnf(i_0_141927, plain, (~group_element(e_1)), inference(closure_rule, [i_0_33])). % 249.80/31.73 cnf(i_0_141928, plain, (~group_element(e_1)), inference(closure_rule, [i_0_33])). % 249.80/31.73 cnf(i_0_88, plain, (product(e_2,e_1,e_1)), inference(extension_rule, [i_0_63])). % 249.80/31.73 cnf(i_0_141929, plain, (equalish(e_2,e_1)), inference(closure_rule, [i_0_42])). % 249.80/31.73 cnf(i_0_141931, plain, (~product(e_2,e_2,e_2)), inference(closure_rule, [i_0_62])). % 249.80/31.73 cnf(i_0_141933, plain, (~product(e_2,e_2,e_2)), inference(extension_rule, [i_0_58])). % 249.80/31.73 cnf(i_0_141979, plain, (~group_element(e_2)), inference(closure_rule, [i_0_34])). % 249.80/31.73 cnf(i_0_141980, plain, (~group_element(e_2)), inference(closure_rule, [i_0_34])). % 249.80/31.73 cnf(i_0_141932, plain, (~product(e_1,e_1,e_2)), inference(extension_rule, [i_0_58])). % 249.80/31.73 cnf(i_0_142005, plain, (~group_element(e_1)), inference(closure_rule, [i_0_33])). % 249.80/31.73 cnf(i_0_142006, plain, (~group_element(e_1)), inference(closure_rule, [i_0_33])). % 249.80/31.73 cnf(i_0_85, plain, (product(e_2,e_1,e_4)), inference(extension_rule, [i_0_64])). % 249.80/31.73 cnf(i_0_142007, plain, (equalish(e_1,e_4)), inference(closure_rule, [i_0_40])). % 249.80/31.73 cnf(i_0_142009, plain, (~product(e_2,X3,e_1)), inference(extension_rule, [i_0_58])). % 249.80/31.73 cnf(i_0_142058, plain, (~group_element(e_2)), inference(closure_rule, [i_0_34])). % 249.80/31.73 cnf(i_0_142010, plain, (~product(e_1,e_4,e_5)), inference(extension_rule, [i_0_58])). % 249.80/31.73 cnf(i_0_142083, plain, (~group_element(e_4)), inference(closure_rule, [i_0_36])). % 249.80/31.73 cnf(i_0_142084, plain, (~group_element(e_1)), inference(closure_rule, [i_0_33])). % 249.80/31.73 cnf(i_0_142011, plain, (~product(X3,e_1,e_5)), inference(extension_rule, [i_0_58])). % 249.80/31.73 cnf(i_0_142109, plain, (~group_element(e_1)), inference(closure_rule, [i_0_33])). % 249.80/31.73 cnf(i_0_69, plain, (~product(e_1,e_5,e_2)), inference(extension_rule, [i_0_58])). % 249.80/31.73 cnf(i_0_142135, plain, (~group_element(e_5)), inference(closure_rule, [i_0_37])). % 249.80/31.73 cnf(i_0_142136, plain, (~group_element(e_1)), inference(closure_rule, [i_0_33])). % 249.80/31.73 cnf(i_0_141896, plain, (product(e_2,e_2,e_5)), inference(etableau_closure_rule, [i_0_141896, ...])). % 249.80/31.73 cnf(i_0_141897, plain, (product(e_2,e_2,e_4)), inference(etableau_closure_rule, [i_0_141897, ...])). % 249.80/31.73 cnf(i_0_142131, plain, (product(e_1,e_5,e_4)), inference(extension_rule, [i_0_60])). % 249.80/31.73 cnf(i_0_268112, plain, (equalish(e_1,e_5)), inference(closure_rule, [i_0_41])). % 249.80/31.73 cnf(i_0_268114, plain, (~product(e_1,e_1,e_4)), inference(extension_rule, [i_0_58])). % 249.80/31.73 cnf(i_0_268133, plain, (~group_element(e_1)), inference(closure_rule, [i_0_33])). % 249.80/31.73 cnf(i_0_268134, plain, (~group_element(e_1)), inference(closure_rule, [i_0_33])). % 249.80/31.73 cnf(i_0_142132, plain, (product(e_1,e_5,e_3)), inference(extension_rule, [i_0_61])). % 249.80/31.73 cnf(i_0_268135, plain, (equalish(e_2,e_1)), inference(closure_rule, [i_0_42])). % 249.80/31.73 cnf(i_0_268137, plain, (~product(e_2,e_5,e_3)), inference(extension_rule, [i_0_58])). % 249.80/31.73 cnf(i_0_268159, plain, (~group_element(e_5)), inference(closure_rule, [i_0_37])). % 249.80/31.73 cnf(i_0_268160, plain, (~group_element(e_2)), inference(closure_rule, [i_0_34])). % 249.80/31.73 cnf(i_0_142134, plain, (product(e_1,e_5,e_1)), inference(extension_rule, [i_0_63])). % 249.80/31.73 cnf(i_0_268161, plain, (equalish(e_1,e_5)), inference(closure_rule, [i_0_41])). % 249.80/31.73 cnf(i_0_268163, plain, (~product(e_1,e_1,e_1)), inference(closure_rule, [i_0_62])). % 249.80/31.73 cnf(i_0_268165, plain, (~product(e_1,e_1,e_1)), inference(closure_rule, [i_0_62])). % 249.80/31.73 cnf(i_0_268164, plain, (~product(e_5,e_1,e_1)), inference(extension_rule, [i_0_58])). % 249.80/31.73 cnf(i_0_268185, plain, (~group_element(e_1)), inference(closure_rule, [i_0_33])). % 249.80/31.73 cnf(i_0_268186, plain, (~group_element(e_5)), inference(closure_rule, [i_0_37])). % 249.80/31.73 cnf(i_0_142130, plain, (product(e_1,e_5,e_5)), inference(extension_rule, [i_0_64])). % 249.80/31.73 cnf(i_0_268187, plain, (equalish(e_1,e_5)), inference(closure_rule, [i_0_41])). % 249.80/31.73 cnf(i_0_268189, plain, (~product(e_1,e_1,e_1)), inference(closure_rule, [i_0_62])). % 249.80/31.73 cnf(i_0_268191, plain, (~product(e_1,e_1,e_1)), inference(extension_rule, [i_0_58])). % 249.80/31.73 cnf(i_0_268237, plain, (~group_element(e_1)), inference(closure_rule, [i_0_33])). % 249.80/31.73 cnf(i_0_268238, plain, (~group_element(e_1)), inference(closure_rule, [i_0_33])). % 249.80/31.73 cnf(i_0_268190, plain, (~product(e_5,e_5,e_1)), inference(extension_rule, [i_0_58])). % 249.80/31.73 cnf(i_0_268263, plain, (~group_element(e_5)), inference(closure_rule, [i_0_37])). % 249.80/31.73 cnf(i_0_268264, plain, (~group_element(e_5)), inference(closure_rule, [i_0_37])). % 249.80/31.73 cnf(i_0_142080, plain, (product(e_1,e_4,e_3)), inference(extension_rule, [i_0_61])). % 249.80/31.73 cnf(i_0_353531, plain, (equalish(e_2,e_1)), inference(closure_rule, [i_0_42])). % 249.80/31.73 cnf(i_0_353533, plain, (~product(e_2,e_4,e_3)), inference(extension_rule, [i_0_58])). % 249.80/31.73 cnf(i_0_353555, plain, (~group_element(e_4)), inference(closure_rule, [i_0_36])). % 249.80/31.73 cnf(i_0_353556, plain, (~group_element(e_2)), inference(closure_rule, [i_0_34])). % 249.80/31.73 cnf(i_0_353551, plain, (product(e_2,e_4,e_4)), inference(extension_rule, [i_0_64])). % 249.80/31.73 cnf(i_0_354509, plain, (equalish(e_1,e_4)), inference(closure_rule, [i_0_40])). % 249.80/31.73 cnf(i_0_354512, plain, (~product(e_4,e_4,e_4)), inference(closure_rule, [i_0_62])). % 249.80/31.73 cnf(i_0_354513, plain, (~product(e_2,e_1,e_4)), inference(closure_rule, [i_0_85])). % 249.80/31.73 cnf(i_0_354511, plain, (~product(e_2,e_2,e_1)), inference(extension_rule, [i_0_58])). % 249.80/31.73 cnf(i_0_354524, plain, (~group_element(e_2)), inference(closure_rule, [i_0_34])). % 249.80/31.73 cnf(i_0_354525, plain, (~group_element(e_2)), inference(closure_rule, [i_0_34])). % 249.80/31.73 cnf(i_0_353553, plain, (product(e_2,e_4,e_2)), inference(extension_rule, [i_0_63])). % 249.80/31.73 cnf(i_0_354526, plain, (equalish(e_1,e_4)), inference(closure_rule, [i_0_40])). % 249.80/31.73 cnf(i_0_354528, plain, (~product(e_2,e_1,e_4)), inference(closure_rule, [i_0_85])). % 249.80/31.73 cnf(i_0_354530, plain, (~product(e_1,e_4,e_3)), inference(closure_rule, [i_0_142080])). % 249.80/31.73 cnf(i_0_354529, plain, (~product(e_4,e_2,e_3)), inference(extension_rule, [i_0_58])). % 249.80/31.73 cnf(i_0_354550, plain, (~group_element(e_2)), inference(closure_rule, [i_0_34])). % 249.80/31.73 cnf(i_0_354551, plain, (~group_element(e_4)), inference(closure_rule, [i_0_36])). % 249.80/31.73 cnf(i_0_353554, plain, (product(e_2,e_4,e_1)), inference(extension_rule, [i_0_63])). % 249.80/31.73 cnf(i_0_355228, plain, (equalish(e_1,e_4)), inference(closure_rule, [i_0_40])). % 249.80/31.73 cnf(i_0_355230, plain, (~product(e_2,e_1,e_4)), inference(closure_rule, [i_0_85])). % 249.80/31.73 cnf(i_0_355232, plain, (~product(e_1,e_4,e_3)), inference(closure_rule, [i_0_142080])). % 249.80/31.73 cnf(i_0_355231, plain, (~product(e_4,e_1,e_3)), inference(extension_rule, [i_0_58])). % 249.80/31.73 cnf(i_0_355252, plain, (~group_element(e_1)), inference(closure_rule, [i_0_33])). % 249.80/31.73 cnf(i_0_355253, plain, (~group_element(e_4)), inference(closure_rule, [i_0_36])). % 249.80/31.73 cnf(i_0_353550, plain, (product(e_2,e_4,e_5)), inference(extension_rule, [i_0_63])). % 249.80/31.73 cnf(i_0_355696, plain, (equalish(e_1,e_4)), inference(closure_rule, [i_0_40])). % 249.80/31.73 cnf(i_0_355698, plain, (~product(e_2,e_1,e_4)), inference(closure_rule, [i_0_85])). % 249.80/31.73 cnf(i_0_355700, plain, (~product(e_1,e_4,e_3)), inference(closure_rule, [i_0_142080])). % 249.80/31.73 cnf(i_0_355699, plain, (~product(e_4,e_5,e_3)), inference(extension_rule, [i_0_58])). % 249.80/31.73 cnf(i_0_355720, plain, (~group_element(e_5)), inference(closure_rule, [i_0_37])). % 249.80/31.73 cnf(i_0_355721, plain, (~group_element(e_4)), inference(closure_rule, [i_0_36])). % 249.80/31.73 cnf(i_0_268132, plain, (product(e_1,e_1,e_1)), inference(extension_rule, [i_0_61])). % 249.80/31.73 cnf(i_0_450939, plain, (equalish(e_2,e_1)), inference(closure_rule, [i_0_42])). % 249.80/31.73 cnf(i_0_268154, plain, (product(e_2,e_5,e_5)), inference(etableau_closure_rule, [i_0_268154, ...])). % 249.80/31.73 cnf(i_0_450941, plain, (~product(e_2,e_1,e_1)), inference(extension_rule, [i_0_58])). % 249.80/31.73 cnf(i_0_517358, plain, (~group_element(e_1)), inference(closure_rule, [i_0_33])). % 249.80/31.73 cnf(i_0_517359, plain, (~group_element(e_2)), inference(closure_rule, [i_0_34])). % 249.80/31.73 cnf(i_0_517353, plain, (product(e_2,e_1,e_5)), inference(extension_rule, [i_0_64])). % 249.80/31.73 cnf(i_0_517360, plain, (equalish(e_1,e_5)), inference(closure_rule, [i_0_41])). % 249.80/31.73 cnf(i_0_517363, plain, (~product(e_1,e_5,e_4)), inference(closure_rule, [i_0_142131])). % 249.80/31.73 cnf(i_0_517362, plain, (~product(e_2,X4,e_1)), inference(extension_rule, [i_0_58])). % 249.80/31.73 cnf(i_0_517385, plain, (~group_element(e_2)), inference(closure_rule, [i_0_34])). % 249.80/31.73 cnf(i_0_517364, plain, (~product(X4,e_1,e_4)), inference(extension_rule, [i_0_58])). % 249.80/31.73 cnf(i_0_517410, plain, (~group_element(e_1)), inference(closure_rule, [i_0_33])). % 249.80/31.73 cnf(i_0_517354, plain, (product(e_2,e_1,e_4)), inference(extension_rule, [i_0_63])). % 249.80/31.73 cnf(i_0_517412, plain, (equalish(e_2,e_1)), inference(closure_rule, [i_0_42])). % 249.80/31.73 cnf(i_0_517414, plain, (~product(e_2,e_2,e_2)), inference(closure_rule, [i_0_62])). % 249.80/31.73 cnf(i_0_517416, plain, (~product(e_2,e_2,e_2)), inference(closure_rule, [i_0_62])). % 249.80/31.73 cnf(i_0_517415, plain, (~product(e_1,e_4,e_2)), inference(extension_rule, [i_0_58])). % 249.80/31.73 cnf(i_0_517436, plain, (~group_element(e_4)), inference(closure_rule, [i_0_36])). % 249.80/31.73 cnf(i_0_517437, plain, (~group_element(e_1)), inference(closure_rule, [i_0_33])). % 249.80/31.73 cnf(i_0_517356, plain, (product(e_2,e_1,e_2)), inference(extension_rule, [i_0_60])). % 249.80/31.73 cnf(i_0_517493, plain, (equalish(e_2,e_1)), inference(closure_rule, [i_0_42])). % 249.80/31.73 cnf(i_0_517495, plain, (~product(e_2,e_2,e_2)), inference(closure_rule, [i_0_62])). % 249.80/31.73 cnf(i_0_517355, plain, (product(e_2,e_1,e_3)), inference(extension_rule, [i_0_64])). % 249.80/31.73 cnf(i_0_517551, plain, (equalish(e_1,e_3)), inference(closure_rule, [i_0_39])). % 249.80/31.73 cnf(i_0_517553, plain, (~product(e_2,X5,e_1)), inference(extension_rule, [i_0_58])). % 249.80/31.73 cnf(i_0_517567, plain, (~group_element(e_2)), inference(closure_rule, [i_0_34])). % 249.80/31.73 cnf(i_0_517554, plain, (~product(e_1,e_3,e_5)), inference(extension_rule, [i_0_58])). % 249.80/31.73 cnf(i_0_517592, plain, (~group_element(e_3)), inference(closure_rule, [i_0_35])). % 249.80/31.73 cnf(i_0_517593, plain, (~group_element(e_1)), inference(closure_rule, [i_0_33])). % 249.80/31.73 cnf(i_0_517555, plain, (~product(X5,e_1,e_5)), inference(extension_rule, [i_0_58])). % 249.80/31.73 cnf(i_0_517618, plain, (~group_element(e_1)), inference(closure_rule, [i_0_33])). % 249.80/31.73 cnf(i_0_268155, plain, (product(e_2,e_5,e_4)), inference(extension_rule, [i_0_63])). % 249.80/31.73 cnf(i_0_517620, plain, (equalish(e_1,e_5)), inference(closure_rule, [i_0_41])). % 249.80/31.73 cnf(i_0_517624, plain, (~product(e_1,e_1,e_1)), inference(closure_rule, [i_0_62])). % 249.80/31.73 cnf(i_0_268157, plain, (product(e_2,e_5,e_2)), inference(etableau_closure_rule, [i_0_268157, ...])). % 249.80/31.73 # End printing tableau % 249.80/31.73 # SZS output end % 249.80/31.73 # Branches closed with saturation will be marked with an "s" % 250.05/31.75 # Child (12012) has found a proof. % 250.05/31.75 % 250.05/31.75 # Proof search is over... % 250.05/31.75 # Freeing feature tree %------------------------------------------------------------------------------