%------------------------------------------------------------------------------ % File : Etableau---0.67 % Problem : SEV678+1 : TPTP v9.3.0. Released v9.3.0. % 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 : n003.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 : 300s % DateTime : Tue May 5 06:52:03 PM UTC 2026 % Result : Theorem 0.39s 0.56s % Output : Assurance 0s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----No solution output by system %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.11 % Problem : SEV678+1 : TPTP v9.3.0. Released v9.3.0. % 0.13/0.13 % Command : etableau --auto --tsmdo --quicksat=10000 --tableau=1 --tableau-saturation=1 -s -p --tableau-cores=8 --cpu-limit=%d %s % 0.16/0.33 % Computer : n003.cluster.edu % 0.16/0.33 % Model : x86_64 x86_64 % 0.16/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.16/0.33 % Memory : 8042.1875MB % 0.16/0.33 % OS : Linux 3.10.0-693.el7.x86_64 % 0.16/0.33 % CPULimit : 300 % 0.16/0.33 % WCLimit : 300 % 0.16/0.33 % DateTime : Tue May 5 08:24:41 EDT 2026 % 0.16/0.34 % CPUTime : % 0.39/0.56 # SinE strategy is gf120_h_gu_RUU_F100_L00500 % 0.39/0.56 # Auto-Mode selected heuristic G_E___208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN % 0.39/0.56 # and selection function SelectComplexExceptUniqMaxHorn. % 0.39/0.56 # % 0.39/0.56 # Presaturation interreduction done % 0.39/0.56 # Number of axioms: 49 Number of unprocessed: 30 % 0.39/0.56 # Tableaux proof search. % 0.39/0.56 # APR header successfully linked. % 0.39/0.56 # Hello from C++ % 0.39/0.56 # The folding up rule is enabled... % 0.39/0.56 # Local unification is enabled... % 0.39/0.56 # Any saturation attempts will use folding labels... % 0.39/0.56 # 30 beginning clauses after preprocessing and clausification % 0.39/0.56 # Creating start rules for all 2 conjectures. % 0.39/0.56 # There are 2 start rule candidates: % 0.39/0.56 # Found 10 unit axioms. % 0.39/0.56 # Closed tableau found in foldup close cycle with 0 folds and 2 closures done. % 0.39/0.56 # Found closed tableau while making start rule % 0.39/0.56 # There were 0 total branch saturation attempts. % 0.39/0.56 # There were 0 of these attempts blocked. % 0.39/0.56 # There were 0 deferred branch saturation attempts. % 0.39/0.56 # There were 0 free duplicated saturations. % 0.39/0.56 # There were 0 total successful branch saturations. % 0.39/0.56 # There were 0 successful branch saturations in interreduction. % 0.39/0.56 # There were 0 successful branch saturations on the branch. % 0.39/0.56 # There were 0 successful branch saturations after the branch. % 0.39/0.56 # SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p % 0.39/0.56 # SZS output start for /export/starexec/sandbox2/benchmark/theBenchmark.p % 0.39/0.56 # Begin clausification derivation % 0.39/0.56 % 0.39/0.56 # End clausification derivation % 0.39/0.56 # Begin listing active clauses obtained from FOF to CNF conversion % 0.39/0.56 cnf(i_0_5, plain, (cCoq_2eInit_2eDatatypes_2enat___24t(esk1_0))). % 0.39/0.56 cnf(i_0_66, plain, (cCoq_2eInit_2eDatatypes_2enat___24t(cCoq_2eInit_2eDatatypes_2eO))). % 0.39/0.56 cnf(i_0_68, plain, (cCoq_2eInit_2eDatatypes_2enat___24t(esk5_0))). % 0.39/0.56 cnf(i_0_7, plain, (cProp___24t(cUseAuto_2emyFact))). % 0.39/0.56 cnf(i_0_35, plain, (cCoq_2eInit_2ePeano_2ele___24a2(cCoq_2eInit_2eDatatypes_2eO,cCoq_2eInit_2eDatatypes_2eS___24a1(cCoq_2eInit_2eDatatypes_2eO)))). % 0.39/0.56 cnf(i_0_4, plain, (cCoq_2eInit_2ePeano_2ele___24a2(esk1_0,cCoq_2eInit_2eDatatypes_2eS___24a1(cCoq_2eInit_2eDatatypes_2eS___24a1(cCoq_2eInit_2eDatatypes_2eS___24a1(cCoq_2eInit_2eDatatypes_2eO)))))). % 0.39/0.56 cnf(i_0_1, negated_conjecture, (~p(cUseAuto_2emyFact))). % 0.39/0.56 cnf(i_0_3, plain, (~cUseAuto_2eP___24a1(esk1_0))). % 0.39/0.56 cnf(i_0_67, plain, (esk5_0!=cCoq_2eInit_2eDatatypes_2eO)). % 0.39/0.56 cnf(i_0_50, plain, (cCoq_2eInit_2eDatatypes_2eS___24a1(X1)!=cCoq_2eInit_2eDatatypes_2eO)). % 0.39/0.56 cnf(i_0_56, plain, (cCoq_2eInit_2eDatatypes_2eS___24a1(X1)!=X1|~cCoq_2eInit_2eDatatypes_2enat___24t(X1))). % 0.39/0.56 cnf(i_0_2, negated_conjecture, (cUseAuto_2eP___24a1(X1)|~cCoq_2eInit_2eDatatypes_2enat___24t(X1))). % 0.39/0.56 cnf(i_0_36, plain, (cCoq_2eInit_2ePeano_2ele___24a2(cCoq_2eInit_2eDatatypes_2eO,X1)|~cCoq_2eInit_2eDatatypes_2enat___24t(X1))). % 0.39/0.56 cnf(i_0_51, plain, (X1=X2|cCoq_2eInit_2eDatatypes_2eS___24a1(X1)!=cCoq_2eInit_2eDatatypes_2eS___24a1(X2))). % 0.39/0.56 cnf(i_0_31, plain, (cCoq_2eInit_2ePeano_2ele___24a2(X1,X1)|~cCoq_2eInit_2eDatatypes_2enat___24t(X1))). % 0.39/0.56 cnf(i_0_28, plain, (cCoq_2eInit_2eDatatypes_2eO=X1|~cCoq_2eInit_2ePeano_2ele___24a2(X1,cCoq_2eInit_2eDatatypes_2eO)|~cCoq_2eInit_2eDatatypes_2enat___24t(X1))). % 0.39/0.56 cnf(i_0_53, plain, (X1=cCoq_2eInit_2eDatatypes_2eO|cCoq_2eInit_2eDatatypes_2enat___24t(esk3_1(X1))|~cCoq_2eInit_2eDatatypes_2enat___24t(X1))). % 0.39/0.56 cnf(i_0_63, plain, (X1=cCoq_2eInit_2eDatatypes_2eO|cCoq_2eInit_2eDatatypes_2enat___24t(esk4_1(X1))|~cCoq_2eInit_2eDatatypes_2enat___24t(X1))). % 0.39/0.56 cnf(i_0_41, plain, (cCoq_2eInit_2ePeano_2ele___24a2(X1,cCoq_2eInit_2eDatatypes_2eS___24a1(X1))|~cCoq_2eInit_2eDatatypes_2enat___24t(X1))). % 0.39/0.56 cnf(i_0_52, plain, (cCoq_2eInit_2eDatatypes_2eS___24a1(esk3_1(X1))=X1|X1=cCoq_2eInit_2eDatatypes_2eO|~cCoq_2eInit_2eDatatypes_2enat___24t(X1))). % 0.39/0.56 cnf(i_0_62, plain, (cCoq_2eInit_2eDatatypes_2eS___24a1(esk4_1(X1))=X1|X1=cCoq_2eInit_2eDatatypes_2eO|~cCoq_2eInit_2eDatatypes_2enat___24t(X1))). % 0.39/0.56 cnf(i_0_30, plain, (X1=X2|~cCoq_2eInit_2ePeano_2ele___24a2(X2,X1)|~cCoq_2eInit_2ePeano_2ele___24a2(X1,X2)|~cCoq_2eInit_2eDatatypes_2enat___24t(X2)|~cCoq_2eInit_2eDatatypes_2enat___24t(X1))). % 0.39/0.56 cnf(i_0_38, plain, (cCoq_2eInit_2ePeano_2ele___24a2(X1,X2)|cCoq_2eInit_2ePeano_2ele___24a2(X2,X1)|~cCoq_2eInit_2eDatatypes_2enat___24t(X2)|~cCoq_2eInit_2eDatatypes_2enat___24t(X1))). % 0.39/0.56 cnf(i_0_39, plain, (cCoq_2eInit_2ePeano_2ele___24a2(X1,cCoq_2eInit_2eDatatypes_2eS___24a1(X2))|~cCoq_2eInit_2ePeano_2ele___24a2(X1,X2)|~cCoq_2eInit_2eDatatypes_2enat___24t(X2)|~cCoq_2eInit_2eDatatypes_2enat___24t(X1))). % 0.39/0.56 cnf(i_0_27, plain, (cCoq_2eInit_2ePeano_2ele___24a2(X1,X2)|~cCoq_2eInit_2ePeano_2ele___24a2(cCoq_2eInit_2eDatatypes_2eS___24a1(X1),cCoq_2eInit_2eDatatypes_2eS___24a1(X2))|~cCoq_2eInit_2eDatatypes_2enat___24t(X2)|~cCoq_2eInit_2eDatatypes_2enat___24t(X1))). % 0.39/0.56 cnf(i_0_26, plain, (X1=X2|cCoq_2eInit_2eDatatypes_2enat___24t(esk2_2(X1,X2))|~cCoq_2eInit_2ePeano_2ele___24a2(X1,X2)|~cCoq_2eInit_2eDatatypes_2enat___24t(X2)|~cCoq_2eInit_2eDatatypes_2enat___24t(X1))). % 0.39/0.56 cnf(i_0_29, plain, (cCoq_2eInit_2ePeano_2ele___24a2(cCoq_2eInit_2eDatatypes_2eS___24a1(X1),cCoq_2eInit_2eDatatypes_2eS___24a1(X2))|~cCoq_2eInit_2ePeano_2ele___24a2(X1,X2)|~cCoq_2eInit_2eDatatypes_2enat___24t(X2)|~cCoq_2eInit_2eDatatypes_2enat___24t(X1))). % 0.39/0.56 cnf(i_0_24, plain, (cCoq_2eInit_2eDatatypes_2eS___24a1(esk2_2(X1,X2))=X2|X2=X1|~cCoq_2eInit_2ePeano_2ele___24a2(X1,X2)|~cCoq_2eInit_2eDatatypes_2enat___24t(X1)|~cCoq_2eInit_2eDatatypes_2enat___24t(X2))). % 0.39/0.56 cnf(i_0_42, plain, (cCoq_2eInit_2ePeano_2ele___24a2(X1,X2)|~cCoq_2eInit_2ePeano_2ele___24a2(X3,X2)|~cCoq_2eInit_2ePeano_2ele___24a2(X1,X3)|~cCoq_2eInit_2eDatatypes_2enat___24t(X2)|~cCoq_2eInit_2eDatatypes_2enat___24t(X3)|~cCoq_2eInit_2eDatatypes_2enat___24t(X1))). % 0.39/0.56 cnf(i_0_25, plain, (X1=X2|cCoq_2eInit_2ePeano_2ele___24a2(X1,esk2_2(X1,X2))|~cCoq_2eInit_2ePeano_2ele___24a2(X1,X2)|~cCoq_2eInit_2eDatatypes_2enat___24t(X2)|~cCoq_2eInit_2eDatatypes_2enat___24t(X1))). % 0.39/0.56 # End listing active clauses. There is an equivalent clause to each of these in the clausification! % 0.39/0.56 # Begin printing tableau % 0.39/0.56 # Found 3 steps % 0.39/0.56 cnf(i_0_2, negated_conjecture, (cUseAuto_2eP___24a1(esk1_0)|~cCoq_2eInit_2eDatatypes_2enat___24t(esk1_0)), inference(start_rule)). % 0.39/0.56 cnf(i_0_72, plain, (cUseAuto_2eP___24a1(esk1_0)), inference(closure_rule, [i_0_3])). % 0.39/0.56 cnf(i_0_73, plain, (~cCoq_2eInit_2eDatatypes_2enat___24t(esk1_0)), inference(closure_rule, [i_0_5])). % 0.39/0.56 # End printing tableau % 0.39/0.56 # SZS output end % 0.39/0.56 # Branches closed with saturation will be marked with an "s" % 0.39/0.56 # NOT attempting initial tableau saturation % 0.39/0.56 # 1 start rule tableaux created. % 0.39/0.56 # 20 extension rule candidate clauses % 0.39/0.56 # 10 unit axiom clauses % 0.39/0.56 % 0.39/0.56 # Proof search is over... % 0.39/0.56 # Freeing feature tree %------------------------------------------------------------------------------