%------------------------------------------------------------------------------ % File : Etableau---0.67 % Problem : GRP128-1.004 : 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 : n015.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 09:04:47 EDT 2022 % Result : Satisfiable 3.44s 0.85s % Output : CNFRefutation 3.44s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.07/0.12 % Problem : GRP128-1.004 : TPTP v8.1.0. Released v1.2.0. % 0.07/0.13 % Command : etableau --auto --tsmdo --quicksat=10000 --tableau=1 --tableau-saturation=1 -s -p --tableau-cores=8 --cpu-limit=%d %s % 0.14/0.34 % Computer : n015.cluster.edu % 0.14/0.34 % Model : x86_64 x86_64 % 0.14/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.14/0.34 % Memory : 8042.1875MB % 0.14/0.34 % OS : Linux 3.10.0-693.el7.x86_64 % 0.14/0.34 % CPULimit : 300 % 0.14/0.34 % WCLimit : 600 % 0.14/0.34 % DateTime : Mon Jun 13 09:53:07 EDT 2022 % 0.14/0.34 % CPUTime : % 0.14/0.37 # No SInE strategy applied % 0.14/0.37 # Auto-Mode selected heuristic G_E___208_C18_F1_SE_CS_SP_PS_S5PRR_RG_S04AN % 0.14/0.37 # and selection function SelectComplexExceptUniqMaxHorn. % 0.14/0.37 # % 0.14/0.37 # Presaturation interreduction done % 0.14/0.37 # Number of axioms: 21 Number of unprocessed: 21 % 0.14/0.37 # Tableaux proof search. % 0.14/0.37 # APR header successfully linked. % 0.14/0.37 # Hello from C++ % 0.14/0.37 # The folding up rule is enabled... % 0.14/0.37 # Local unification is enabled... % 0.14/0.37 # Any saturation attempts will use folding labels... % 0.14/0.37 # 21 beginning clauses after preprocessing and clausification % 0.14/0.37 # Creating start rules for all 1 conjectures. % 0.14/0.37 # There are 1 start rule candidates: % 0.14/0.37 # Found 16 unit axioms. % 0.14/0.37 # 1 start rule tableaux created. % 0.14/0.37 # 5 extension rule candidate clauses % 0.14/0.37 # 16 unit axiom clauses % 0.14/0.37 % 0.14/0.37 # Requested 8, 32 cores available to the main process. % 0.14/0.37 # There are not enough tableaux to fork, creating more from the initial 1 % 0.14/0.37 # Returning from population with 11 new_tableaux and 0 remaining starting tableaux. % 0.14/0.37 # We now have 11 tableaux to operate on % 3.44/0.85 # 18096 Satisfiable branch % 3.44/0.85 # Satisfiable branch found. % 3.44/0.85 # There were 21 total branch saturation attempts. % 3.44/0.85 # There were 0 of these attempts blocked. % 3.44/0.85 # There were 0 deferred branch saturation attempts. % 3.44/0.85 # There were 0 free duplicated saturations. % 3.44/0.85 # There were 20 total successful branch saturations. % 3.44/0.85 # There were 0 successful branch saturations in interreduction. % 3.44/0.85 # There were 0 successful branch saturations on the branch. % 3.44/0.85 # There were 20 successful branch saturations after the branch. % 3.44/0.85 # SZS status Satisfiable for /export/starexec/sandbox/benchmark/theBenchmark.p % 3.44/0.85 # SZS output start for /export/starexec/sandbox/benchmark/theBenchmark.p % 3.44/0.85 # Begin clausification derivation % 3.44/0.85 % 3.44/0.85 # End clausification derivation % 3.44/0.85 # Begin listing active clauses obtained from FOF to CNF conversion % 3.44/0.85 cnf(i_0_22, plain, (group_element(e_1))). % 3.44/0.85 cnf(i_0_23, plain, (group_element(e_2))). % 3.44/0.85 cnf(i_0_24, plain, (group_element(e_3))). % 3.44/0.85 cnf(i_0_25, plain, (group_element(e_4))). % 3.44/0.85 cnf(i_0_26, plain, (~equalish(e_1,e_2))). % 3.44/0.85 cnf(i_0_27, plain, (~equalish(e_1,e_3))). % 3.44/0.85 cnf(i_0_28, plain, (~equalish(e_1,e_4))). % 3.44/0.85 cnf(i_0_29, plain, (~equalish(e_2,e_1))). % 3.44/0.85 cnf(i_0_30, plain, (~equalish(e_2,e_3))). % 3.44/0.85 cnf(i_0_31, plain, (~equalish(e_2,e_4))). % 3.44/0.85 cnf(i_0_32, plain, (~equalish(e_3,e_1))). % 3.44/0.85 cnf(i_0_33, plain, (~equalish(e_3,e_2))). % 3.44/0.85 cnf(i_0_34, plain, (~equalish(e_3,e_4))). % 3.44/0.85 cnf(i_0_35, plain, (~equalish(e_4,e_1))). % 3.44/0.85 cnf(i_0_36, plain, (~equalish(e_4,e_2))). % 3.44/0.85 cnf(i_0_37, plain, (~equalish(e_4,e_3))). % 3.44/0.85 cnf(i_0_39, plain, (equalish(X1,X2)|~product(X3,X4,X2)|~product(X3,X4,X1))). % 3.44/0.85 cnf(i_0_40, plain, (equalish(X1,X2)|~product(X3,X2,X4)|~product(X3,X1,X4))). % 3.44/0.85 cnf(i_0_41, plain, (equalish(X1,X2)|~product(X2,X3,X4)|~product(X1,X3,X4))). % 3.44/0.85 cnf(i_0_42, negated_conjecture, (product(X1,X2,X3)|~product(X2,X4,X3)|~product(X1,X4,X2))). % 3.44/0.85 cnf(i_0_38, plain, (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))). % 3.44/0.85 # End listing active clauses. There is an equivalent clause to each of these in the clausification! % 3.44/0.85 # Begin printing tableau % 3.44/0.85 # Found 79 steps % 3.44/0.85 cnf(i_0_42, negated_conjecture, (product(e_1,e_1,e_2)|~product(e_1,e_1,e_2)|~product(e_1,e_1,e_1)), inference(start_rule)). % 3.44/0.85 cnf(i_0_44, plain, (~product(e_1,e_1,e_2)), inference(extension_rule, [i_0_38])). % 3.44/0.85 cnf(i_0_77, plain, (~group_element(e_1)), inference(closure_rule, [i_0_22])). % 3.44/0.85 cnf(i_0_78, plain, (~group_element(e_1)), inference(closure_rule, [i_0_22])). % 3.44/0.85 cnf(i_0_73, plain, (product(e_1,e_1,e_4)), inference(extension_rule, [i_0_39])). % 3.44/0.85 cnf(i_0_82, plain, (equalish(e_1,e_4)), inference(closure_rule, [i_0_28])). % 3.44/0.85 cnf(i_0_84, plain, (~product(e_1,e_1,e_1)), inference(extension_rule, [i_0_42])). % 3.44/0.85 cnf(i_0_74, plain, (product(e_1,e_1,e_3)), inference(extension_rule, [i_0_40])). % 3.44/0.85 cnf(i_0_100, plain, (equalish(e_2,e_1)), inference(closure_rule, [i_0_29])). % 3.44/0.85 cnf(i_0_102, plain, (~product(e_1,e_2,e_3)), inference(extension_rule, [i_0_38])). % 3.44/0.85 cnf(i_0_110, plain, (~group_element(e_2)), inference(closure_rule, [i_0_23])). % 3.44/0.85 cnf(i_0_111, plain, (~group_element(e_1)), inference(closure_rule, [i_0_22])). % 3.44/0.85 cnf(i_0_76, plain, (product(e_1,e_1,e_1)), inference(extension_rule, [i_0_41])). % 3.44/0.85 cnf(i_0_112, plain, (equalish(e_2,e_1)), inference(closure_rule, [i_0_29])). % 3.44/0.85 cnf(i_0_114, plain, (~product(e_2,e_1,e_1)), inference(extension_rule, [i_0_42])). % 3.44/0.85 cnf(i_0_43, plain, (product(e_1,e_1,e_2)), inference(extension_rule, [i_0_39])). % 3.44/0.85 cnf(i_0_121, plain, (equalish(e_1,e_2)), inference(closure_rule, [i_0_26])). % 3.44/0.85 cnf(i_0_123, plain, (~product(e_1,e_1,e_1)), inference(extension_rule, [i_0_42])). % 3.44/0.85 cnf(i_0_137, plain, (~product(e_1,e_2,e_1)), inference(extension_rule, [i_0_38])). % 3.44/0.85 cnf(i_0_147, plain, (~group_element(e_1)), inference(closure_rule, [i_0_22])). % 3.44/0.85 cnf(i_0_138, plain, (~product(e_1,e_2,e_1)), inference(extension_rule, [i_0_42])). % 3.44/0.85 cnf(i_0_159, plain, (~product(e_1,e_1,e_2)), inference(closure_rule, [i_0_43])). % 3.44/0.85 cnf(i_0_146, plain, (~group_element(e_2)), inference(closure_rule, [i_0_23])). % 3.44/0.85 cnf(i_0_45, plain, (~product(e_1,e_1,e_1)), inference(extension_rule, [i_0_42])). % 3.44/0.85 cnf(i_0_176, plain, (~product(e_1,e_2,e_1)), inference(extension_rule, [i_0_38])). % 3.44/0.85 cnf(i_0_192, plain, (~group_element(e_1)), inference(closure_rule, [i_0_22])). % 3.44/0.85 cnf(i_0_187, plain, (product(e_1,e_2,e_4)), inference(extension_rule, [i_0_40])). % 3.44/0.85 cnf(i_0_193, plain, (equalish(e_1,e_2)), inference(closure_rule, [i_0_26])). % 3.44/0.85 cnf(i_0_191, plain, (~group_element(e_2)), inference(closure_rule, [i_0_23])). % 3.44/0.85 cnf(i_0_188, plain, (product(e_1,e_2,e_3)), inference(extension_rule, [i_0_41])). % 3.44/0.85 cnf(i_0_196, plain, (equalish(e_2,e_1)), inference(closure_rule, [i_0_29])). % 3.44/0.85 cnf(i_0_189, plain, (product(e_1,e_2,e_2)), inference(extension_rule, [i_0_39])). % 3.44/0.85 cnf(i_0_201, plain, (~product(e_1,e_2,e_2)), inference(closure_rule, [i_0_189])). % 3.44/0.85 cnf(i_0_177, plain, (~product(e_1,e_2,e_1)), inference(extension_rule, [i_0_42])). % 3.44/0.85 cnf(i_0_203, plain, (~product(e_2,e_1,e_1)), inference(extension_rule, [i_0_38])). % 3.44/0.85 cnf(i_0_209, plain, (~group_element(e_1)), inference(closure_rule, [i_0_22])). % 3.44/0.85 cnf(i_0_210, plain, (~group_element(e_2)), inference(closure_rule, [i_0_23])). % 3.44/0.85 cnf(i_0_204, plain, (~product(e_1,e_1,e_2)), inference(extension_rule, [i_0_38])). % 3.44/0.85 cnf(i_0_235, plain, (product(e_1,e_1,e_1)), inference(closure_rule, [i_0_45])). % 3.44/0.85 cnf(i_0_236, plain, (~group_element(e_1)), inference(closure_rule, [i_0_22])). % 3.44/0.85 cnf(i_0_237, plain, (~group_element(e_1)), inference(closure_rule, [i_0_22])). % 3.44/0.85 cnf(i_0_106, plain, (product(e_1,e_2,e_4)), inference(etableau_closure_rule, [i_0_106, ...])). % 3.44/0.85 cnf(i_0_108, plain, (product(e_1,e_2,e_2)), inference(etableau_closure_rule, [i_0_108, ...])). % 3.44/0.85 cnf(i_0_109, plain, (product(e_1,e_2,e_1)), inference(etableau_closure_rule, [i_0_109, ...])). % 3.44/0.85 cnf(i_0_142, plain, (product(e_1,e_2,e_4)), inference(etableau_closure_rule, [i_0_142, ...])). % 3.44/0.85 cnf(i_0_143, plain, (product(e_1,e_2,e_3)), inference(etableau_closure_rule, [i_0_143, ...])). % 3.44/0.85 cnf(i_0_144, plain, (product(e_1,e_2,e_2)), inference(etableau_closure_rule, [i_0_144, ...])). % 3.44/0.85 cnf(i_0_158, plain, (~product(e_2,e_1,e_1)), inference(etableau_closure_rule, [i_0_158, ...])). % 3.44/0.85 cnf(i_0_195, plain, (~product(e_1,e_1,e_4)), inference(etableau_closure_rule, [i_0_195, ...])). % 3.44/0.85 cnf(i_0_198, plain, (~product(e_2,e_2,e_3)), inference(etableau_closure_rule, [i_0_198, ...])). % 3.44/0.85 cnf(i_0_199, plain, (equalish(e_2,e_2)), inference(etableau_closure_rule, [i_0_199, ...])). % 3.44/0.85 cnf(i_0_205, plain, (product(e_2,e_1,e_4)), inference(etableau_closure_rule, [i_0_205, ...])). % 3.44/0.85 cnf(i_0_206, plain, (product(e_2,e_1,e_3)), inference(etableau_closure_rule, [i_0_206, ...])). % 3.44/0.85 cnf(i_0_207, plain, (product(e_2,e_1,e_2)), inference(etableau_closure_rule, [i_0_207, ...])). % 3.44/0.85 cnf(i_0_232, plain, (product(e_1,e_1,e_4)), inference(etableau_closure_rule, [i_0_232, ...])). % 3.44/0.85 cnf(i_0_233, plain, (product(e_1,e_1,e_3)), inference(etableau_closure_rule, [i_0_233, ...])). % 3.44/0.85 cnf(i_0_98, plain, (~product(e_1,e_2,e_1)), inference(extension_rule, [i_0_38])). % 3.44/0.85 cnf(i_0_7810, plain, (~group_element(e_1)), inference(closure_rule, [i_0_22])). % 3.44/0.85 cnf(i_0_7806, plain, (product(e_1,e_2,e_3)), inference(extension_rule, [i_0_40])). % 3.44/0.85 cnf(i_0_7850, plain, (equalish(e_1,e_2)), inference(closure_rule, [i_0_26])). % 3.44/0.85 cnf(i_0_7809, plain, (~group_element(e_2)), inference(closure_rule, [i_0_23])). % 3.44/0.85 cnf(i_0_7852, plain, (~product(e_1,e_1,e_3)), inference(extension_rule, [i_0_42])). % 3.44/0.85 cnf(i_0_99, plain, (~product(e_1,e_2,e_1)), inference(etableau_closure_rule, [i_0_99, ...])). % 3.44/0.85 cnf(i_0_7807, plain, (product(e_1,e_2,e_2)), inference(etableau_closure_rule, [i_0_7807, ...])). % 3.44/0.85 cnf(i_0_7805, plain, (product(e_1,e_2,e_4)), inference(etableau_closure_rule, [i_0_7805, ...])). % 3.44/0.85 cnf(i_0_7858, plain, (~product(e_1,e_3,e_1)), inference(extension_rule, [i_0_42])). % 3.44/0.85 cnf(i_0_8402, plain, (~product(e_1,e_2,e_3)), inference(closure_rule, [i_0_7806])). % 3.44/0.85 cnf(i_0_7857, plain, (~product(e_1,e_3,e_3)), inference(etableau_closure_rule, [i_0_7857, ...])). % 3.44/0.85 cnf(i_0_8401, plain, (~product(e_3,e_2,e_1)), inference(etableau_closure_rule, [i_0_8401, ...])). % 3.44/0.85 cnf(i_0_119, plain, (~product(e_1,e_4,e_1)), inference(extension_rule, [i_0_38])). % 3.44/0.85 cnf(i_0_8687, plain, (~group_element(e_1)), inference(closure_rule, [i_0_22])). % 3.44/0.85 cnf(i_0_8682, plain, (product(e_1,e_4,e_4)), inference(extension_rule, [i_0_41])). % 3.44/0.85 cnf(i_0_8688, plain, (equalish(e_2,e_1)), inference(closure_rule, [i_0_29])). % 3.44/0.85 cnf(i_0_8690, plain, (~product(e_2,e_4,e_4)), inference(extension_rule, [i_0_42])). % 3.44/0.85 cnf(i_0_8699, plain, (~product(e_2,e_1,e_4)), inference(extension_rule, [i_0_38])). % 3.44/0.85 cnf(i_0_8686, plain, (~group_element(e_4)), inference(closure_rule, [i_0_25])). % 3.44/0.85 cnf(i_0_8709, plain, (product(e_2,e_1,e_1)), inference(closure_rule, [i_0_114])). % 3.44/0.85 cnf(i_0_8710, plain, (~group_element(e_1)), inference(closure_rule, [i_0_22])). % 3.44/0.85 cnf(i_0_8711, plain, (~group_element(e_2)), inference(closure_rule, [i_0_23])). % 3.44/0.85 # End printing tableau % 3.44/0.85 # SZS output end % 3.44/0.85 # Branches closed with saturation will be marked with an "s" % 3.44/0.85 # Child (18096) has found a proof. % 3.44/0.85 % 3.44/0.85 # Proof search is over... % 3.44/0.85 # Freeing feature tree %------------------------------------------------------------------------------