%------------------------------------------------------------------------------ % File : Etableau---0.67 % Problem : LCL674+1.010 : TPTP v9.3.1. Released v4.0.0. % 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 : n012.cluster.edu % Model : x86_64 x86_64 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz % Memory : 8046.5625MB % OS : Linux 6.8.0-71-generic % CPULimit : 300s % WCLimit : 300s % DateTime : Mon Sep 7 12:01:44 PM UTC 2026 % Result : Theorem 4.89s 1.07s % Output : Assurance 0s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----No solution output by system %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.01 % Problem : LCL674+1.010 : TPTP v9.3.1. Released v4.0.0. % 0.00/0.02 % Command : etableau --auto --tsmdo --quicksat=10000 --tableau=1 --tableau-saturation=1 -s -p --tableau-cores=8 --cpu-limit=%d %s % 0.04/0.30 % Computer : n012.cluster.edu % 0.04/0.30 % Model : x86_64 x86_64 % 0.04/0.30 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.04/0.30 % Memory : 8046.5625MB % 0.04/0.30 % OS : Linux 6.8.0-71-generic % 0.04/0.30 % CPULimit : 300 % 0.04/0.30 % WCLimit : 300 % 0.04/0.30 % DateTime : Sat Sep 5 21:11:12 UTC 2026 % 0.04/0.30 % CPUTime : % 0.04/0.32 # No SInE strategy applied % 0.04/0.32 # Auto-Mode selected heuristic G_E___208_C12_11_nc_F1_SE_CS_SP_PS_S5PRR_S04BN % 0.04/0.32 # and selection function PSelectComplexExceptUniqMaxHorn. % 0.04/0.32 # % 0.04/0.32 # Presaturation interreduction done % 0.04/0.32 # Number of axioms: 119 Number of unprocessed: 119 % 0.04/0.32 # Tableaux proof search. % 0.04/0.32 # APR header successfully linked. % 0.04/0.32 # Hello from C++ % 0.09/0.33 # The folding up rule is enabled... % 0.09/0.33 # Local unification is enabled... % 0.09/0.33 # Any saturation attempts will use folding labels... % 0.09/0.33 # 119 beginning clauses after preprocessing and clausification % 0.09/0.33 # Creating start rules for all 4 conjectures. % 0.09/0.33 # There are 4 start rule candidates: % 0.09/0.33 # Found 3 unit axioms. % 0.09/0.33 # Unsuccessfully attempted saturation on 1 start tableaux, moving on. % 0.09/0.33 # 4 start rule tableaux created. % 0.09/0.33 # 116 extension rule candidate clauses % 0.09/0.33 # 3 unit axiom clauses % 0.09/0.33 % 0.09/0.33 # Requested 8, 32 cores available to the main process. % 0.09/0.33 # There are not enough tableaux to fork, creating more from the initial 4 % 0.09/0.33 # Returning from population with 116 new_tableaux and 0 remaining starting tableaux. % 0.09/0.33 # We now have 116 tableaux to operate on % 4.89/1.07 # There were 3 total branch saturation attempts. % 4.89/1.07 # There were 0 of these attempts blocked. % 4.89/1.07 # There were 0 deferred branch saturation attempts. % 4.89/1.07 # There were 0 free duplicated saturations. % 4.89/1.07 # There were 3 total successful branch saturations. % 4.89/1.07 # There were 0 successful branch saturations in interreduction. % 4.89/1.07 # There were 0 successful branch saturations on the branch. % 4.89/1.07 # There were 3 successful branch saturations after the branch. % 4.89/1.07 # SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p % 4.89/1.07 # SZS output start for /export/starexec/sandbox2/benchmark/theBenchmark.p % 4.89/1.07 # Begin clausification derivation % 4.89/1.07 % 4.89/1.07 # End clausification derivation % 4.89/1.07 # Begin listing active clauses obtained from FOF to CNF conversion % 4.89/1.07 cnf(i_0_3, negated_conjecture, (p100(esk1_0))). % 4.89/1.07 cnf(i_0_1, plain, (r1(X1,X1))). % 4.89/1.07 cnf(i_0_4, negated_conjecture, (~p101(esk1_0))). % 4.89/1.07 cnf(i_0_6, negated_conjecture, (p5(X1)|~r1(esk1_0,X1))). % 4.89/1.07 cnf(i_0_5, negated_conjecture, (epred1_1(X1)|~r1(esk1_0,X1))). % 4.89/1.07 cnf(i_0_7, plain, (p100(X1)|~epred1_1(X1)|~p101(X1))). % 4.89/1.07 cnf(i_0_8, plain, (p101(X1)|~epred1_1(X1)|~p102(X1))). % 4.89/1.07 cnf(i_0_17, plain, (p110(X1)|~epred1_1(X1)|~p111(X1))). % 4.89/1.07 cnf(i_0_16, plain, (p109(X1)|~epred1_1(X1)|~p110(X1))). % 4.89/1.07 cnf(i_0_15, plain, (p108(X1)|~epred1_1(X1)|~p109(X1))). % 4.89/1.07 cnf(i_0_14, plain, (p107(X1)|~epred1_1(X1)|~p108(X1))). % 4.89/1.07 cnf(i_0_13, plain, (p106(X1)|~epred1_1(X1)|~p107(X1))). % 4.89/1.07 cnf(i_0_12, plain, (p105(X1)|~epred1_1(X1)|~p106(X1))). % 4.89/1.07 cnf(i_0_11, plain, (p104(X1)|~epred1_1(X1)|~p105(X1))). % 4.89/1.07 cnf(i_0_10, plain, (p103(X1)|~epred1_1(X1)|~p104(X1))). % 4.89/1.07 cnf(i_0_9, plain, (p102(X1)|~epred1_1(X1)|~p103(X1))). % 4.89/1.07 cnf(i_0_114, plain, (p110(X1)|p11(esk3_1(X1))|~epred1_1(X1)|~p109(X1))). % 4.89/1.07 cnf(i_0_44, plain, (p101(esk20_1(X1))|p101(X1)|~epred1_1(X1)|~p100(X1))). % 4.89/1.07 cnf(i_0_118, plain, (p110(X1)|~epred1_1(X1)|~p109(X1)|~p11(esk2_1(X1)))). % 4.89/1.07 cnf(i_0_117, plain, (p110(X1)|~epred1_1(X1)|~p109(X1)|~p111(esk2_1(X1)))). % 4.89/1.07 cnf(i_0_113, plain, (p110(X1)|~epred1_1(X1)|~p109(X1)|~p111(esk3_1(X1)))). % 4.89/1.07 cnf(i_0_109, plain, (p109(X1)|~epred1_1(X1)|~p108(X1)|~p110(esk4_1(X1)))). % 4.89/1.07 cnf(i_0_40, plain, (p101(esk21_1(X1))|p101(X1)|~epred1_1(X1)|~p100(X1))). % 4.89/1.07 cnf(i_0_45, plain, (p101(X1)|~epred1_1(X1)|~p100(X1)|~p102(esk20_1(X1)))). % 4.89/1.07 cnf(i_0_41, plain, (p101(X1)|~epred1_1(X1)|~p100(X1)|~p102(esk21_1(X1)))). % 4.89/1.07 cnf(i_0_46, plain, (p101(X1)|~epred1_1(X1)|~p100(X1)|~p2(esk20_1(X1)))). % 4.89/1.07 cnf(i_0_70, plain, (p104(X1)|~epred1_1(X1)|~p103(X1)|~p5(esk14_1(X1)))). % 4.89/1.07 cnf(i_0_116, plain, (p110(esk2_1(X1))|p110(X1)|~epred1_1(X1)|~p109(X1))). % 4.89/1.07 cnf(i_0_42, plain, (p2(esk21_1(X1))|p101(X1)|~epred1_1(X1)|~p100(X1))). % 4.89/1.07 cnf(i_0_105, plain, (p109(X1)|~epred1_1(X1)|~p108(X1)|~p110(esk5_1(X1)))). % 4.89/1.07 cnf(i_0_110, plain, (p109(X1)|~epred1_1(X1)|~p108(X1)|~p10(esk4_1(X1)))). % 4.89/1.07 cnf(i_0_101, plain, (p108(X1)|~epred1_1(X1)|~p107(X1)|~p109(esk6_1(X1)))). % 4.89/1.07 cnf(i_0_97, plain, (p108(X1)|~epred1_1(X1)|~p107(X1)|~p109(esk7_1(X1)))). % 4.89/1.07 cnf(i_0_66, plain, (p104(X1)|p5(esk15_1(X1))|~epred1_1(X1)|~p103(X1))). % 4.89/1.07 cnf(i_0_53, plain, (p102(X1)|~epred1_1(X1)|~p101(X1)|~p103(esk18_1(X1)))). % 4.89/1.07 cnf(i_0_49, plain, (p102(X1)|~epred1_1(X1)|~p101(X1)|~p103(esk19_1(X1)))). % 4.89/1.07 cnf(i_0_54, plain, (p102(X1)|~epred1_1(X1)|~p101(X1)|~p3(esk18_1(X1)))). % 4.89/1.07 cnf(i_0_102, plain, (p108(X1)|~epred1_1(X1)|~p107(X1)|~p9(esk6_1(X1)))). % 4.89/1.07 cnf(i_0_112, plain, (p110(esk3_1(X1))|p110(X1)|~epred1_1(X1)|~p109(X1))). % 4.89/1.07 cnf(i_0_52, plain, (p102(esk18_1(X1))|p102(X1)|~epred1_1(X1)|~p101(X1))). % 4.89/1.07 cnf(i_0_93, plain, (p107(X1)|~epred1_1(X1)|~p106(X1)|~p108(esk8_1(X1)))). % 4.89/1.07 cnf(i_0_89, plain, (p107(X1)|~epred1_1(X1)|~p106(X1)|~p108(esk9_1(X1)))). % 4.89/1.07 cnf(i_0_94, plain, (p107(X1)|~epred1_1(X1)|~p106(X1)|~p8(esk8_1(X1)))). % 4.89/1.07 cnf(i_0_85, plain, (p106(X1)|~epred1_1(X1)|~p105(X1)|~p107(esk10_1(X1)))). % 4.89/1.07 cnf(i_0_48, plain, (p102(esk19_1(X1))|p102(X1)|~epred1_1(X1)|~p101(X1))). % 4.89/1.07 cnf(i_0_81, plain, (p106(X1)|~epred1_1(X1)|~p105(X1)|~p107(esk11_1(X1)))). % 4.89/1.07 cnf(i_0_86, plain, (p106(X1)|~epred1_1(X1)|~p105(X1)|~p7(esk10_1(X1)))). % 4.89/1.07 cnf(i_0_77, plain, (p105(X1)|~epred1_1(X1)|~p104(X1)|~p106(esk12_1(X1)))). % 4.89/1.07 cnf(i_0_73, plain, (p105(X1)|~epred1_1(X1)|~p104(X1)|~p106(esk13_1(X1)))). % 4.89/1.07 cnf(i_0_108, plain, (p109(esk4_1(X1))|p109(X1)|~epred1_1(X1)|~p108(X1))). % 4.89/1.07 cnf(i_0_50, plain, (p3(esk19_1(X1))|p102(X1)|~epred1_1(X1)|~p101(X1))). % 4.89/1.07 cnf(i_0_78, plain, (p105(X1)|~epred1_1(X1)|~p104(X1)|~p6(esk12_1(X1)))). % 4.89/1.07 cnf(i_0_69, plain, (p104(X1)|~epred1_1(X1)|~p103(X1)|~p105(esk14_1(X1)))). % 4.89/1.07 cnf(i_0_65, plain, (p104(X1)|~epred1_1(X1)|~p103(X1)|~p105(esk15_1(X1)))). % 4.89/1.07 cnf(i_0_61, plain, (p103(X1)|~epred1_1(X1)|~p102(X1)|~p104(esk16_1(X1)))). % 4.89/1.07 cnf(i_0_47, plain, (p101(X1)|r1(X1,esk20_1(X1))|~epred1_1(X1)|~p100(X1))). % 4.89/1.07 cnf(i_0_57, plain, (p103(X1)|~epred1_1(X1)|~p102(X1)|~p104(esk17_1(X1)))). % 4.89/1.07 cnf(i_0_62, plain, (p103(X1)|~epred1_1(X1)|~p102(X1)|~p4(esk16_1(X1)))). % 4.89/1.07 cnf(i_0_43, plain, (p101(X1)|r1(X1,esk21_1(X1))|~epred1_1(X1)|~p100(X1))). % 4.89/1.07 cnf(i_0_2, plain, (r1(X1,X2)|~r1(X3,X2)|~r1(X1,X3))). % 4.89/1.07 cnf(i_0_104, plain, (p109(esk5_1(X1))|p109(X1)|~epred1_1(X1)|~p108(X1))). % 4.89/1.07 cnf(i_0_106, plain, (p10(esk5_1(X1))|p109(X1)|~epred1_1(X1)|~p108(X1))). % 4.89/1.07 cnf(i_0_100, plain, (p108(esk6_1(X1))|p108(X1)|~epred1_1(X1)|~p107(X1))). % 4.89/1.07 cnf(i_0_96, plain, (p108(esk7_1(X1))|p108(X1)|~epred1_1(X1)|~p107(X1))). % 4.89/1.07 cnf(i_0_98, plain, (p9(esk7_1(X1))|p108(X1)|~epred1_1(X1)|~p107(X1))). % 4.89/1.07 cnf(i_0_92, plain, (p107(esk8_1(X1))|p107(X1)|~epred1_1(X1)|~p106(X1))). % 4.89/1.07 cnf(i_0_88, plain, (p107(esk9_1(X1))|p107(X1)|~epred1_1(X1)|~p106(X1))). % 4.89/1.07 cnf(i_0_55, plain, (p102(X1)|r1(X1,esk18_1(X1))|~epred1_1(X1)|~p101(X1))). % 4.89/1.07 cnf(i_0_51, plain, (p102(X1)|r1(X1,esk19_1(X1))|~epred1_1(X1)|~p101(X1))). % 4.89/1.07 cnf(i_0_27, plain, (p5(X1)|~epred1_1(X1)|~p104(X2)|~p104(X1)|~p5(X2)|~r1(X1,X2))). % 4.89/1.07 cnf(i_0_26, plain, (p5(X1)|~epred1_1(X2)|~p104(X1)|~p104(X2)|~p5(X2)|~r1(X2,X1))). % 4.89/1.07 cnf(i_0_90, plain, (p8(esk9_1(X1))|p107(X1)|~epred1_1(X1)|~p106(X1))). % 4.89/1.07 cnf(i_0_84, plain, (p106(esk10_1(X1))|p106(X1)|~epred1_1(X1)|~p105(X1))). % 4.89/1.07 cnf(i_0_80, plain, (p106(esk11_1(X1))|p106(X1)|~epred1_1(X1)|~p105(X1))). % 4.89/1.07 cnf(i_0_82, plain, (p7(esk11_1(X1))|p106(X1)|~epred1_1(X1)|~p105(X1))). % 4.89/1.07 cnf(i_0_76, plain, (p105(esk12_1(X1))|p105(X1)|~epred1_1(X1)|~p104(X1))). % 4.89/1.07 cnf(i_0_72, plain, (p105(esk13_1(X1))|p105(X1)|~epred1_1(X1)|~p104(X1))). % 4.89/1.07 cnf(i_0_74, plain, (p6(esk13_1(X1))|p105(X1)|~epred1_1(X1)|~p104(X1))). % 4.89/1.07 cnf(i_0_68, plain, (p104(esk14_1(X1))|p104(X1)|~epred1_1(X1)|~p103(X1))). % 4.89/1.07 cnf(i_0_64, plain, (p104(esk15_1(X1))|p104(X1)|~epred1_1(X1)|~p103(X1))). % 4.89/1.07 cnf(i_0_60, plain, (p103(esk16_1(X1))|p103(X1)|~epred1_1(X1)|~p102(X1))). % 4.89/1.07 cnf(i_0_56, plain, (p103(esk17_1(X1))|p103(X1)|~epred1_1(X1)|~p102(X1))). % 4.89/1.07 cnf(i_0_58, plain, (p4(esk17_1(X1))|p103(X1)|~epred1_1(X1)|~p102(X1))). % 4.89/1.07 cnf(i_0_119, plain, (p110(X1)|r1(X1,esk2_1(X1))|~epred1_1(X1)|~p109(X1))). % 4.89/1.07 cnf(i_0_39, plain, (p11(X1)|~epred1_1(X1)|~p110(X2)|~p110(X1)|~p11(X2)|~r1(X1,X2))). % 4.89/1.07 cnf(i_0_37, plain, (p10(X1)|~epred1_1(X1)|~p10(X2)|~p109(X2)|~p109(X1)|~r1(X1,X2))). % 4.89/1.07 cnf(i_0_35, plain, (p9(X1)|~epred1_1(X1)|~p9(X2)|~p108(X2)|~p108(X1)|~r1(X1,X2))). % 4.89/1.07 cnf(i_0_33, plain, (p8(X1)|~epred1_1(X1)|~p8(X2)|~p107(X2)|~p107(X1)|~r1(X1,X2))). % 4.89/1.07 cnf(i_0_115, plain, (p110(X1)|r1(X1,esk3_1(X1))|~epred1_1(X1)|~p109(X1))). % 4.89/1.07 cnf(i_0_111, plain, (p109(X1)|r1(X1,esk4_1(X1))|~epred1_1(X1)|~p108(X1))). % 4.89/1.07 cnf(i_0_107, plain, (p109(X1)|r1(X1,esk5_1(X1))|~epred1_1(X1)|~p108(X1))). % 4.89/1.07 cnf(i_0_103, plain, (p108(X1)|r1(X1,esk6_1(X1))|~epred1_1(X1)|~p107(X1))). % 4.89/1.07 cnf(i_0_99, plain, (p108(X1)|r1(X1,esk7_1(X1))|~epred1_1(X1)|~p107(X1))). % 4.89/1.07 cnf(i_0_95, plain, (p107(X1)|r1(X1,esk8_1(X1))|~epred1_1(X1)|~p106(X1))). % 4.89/1.07 cnf(i_0_91, plain, (p107(X1)|r1(X1,esk9_1(X1))|~epred1_1(X1)|~p106(X1))). % 4.89/1.07 cnf(i_0_31, plain, (p7(X1)|~epred1_1(X1)|~p7(X2)|~p106(X2)|~p106(X1)|~r1(X1,X2))). % 4.89/1.07 cnf(i_0_29, plain, (p6(X1)|~epred1_1(X1)|~p6(X2)|~p105(X2)|~p105(X1)|~r1(X1,X2))). % 4.89/1.07 cnf(i_0_25, plain, (p4(X1)|~epred1_1(X1)|~p4(X2)|~p103(X2)|~p103(X1)|~r1(X1,X2))). % 4.89/1.07 cnf(i_0_23, plain, (p3(X1)|~epred1_1(X1)|~p3(X2)|~p102(X2)|~p102(X1)|~r1(X1,X2))). % 4.89/1.07 cnf(i_0_87, plain, (p106(X1)|r1(X1,esk10_1(X1))|~epred1_1(X1)|~p105(X1))). % 4.89/1.07 cnf(i_0_83, plain, (p106(X1)|r1(X1,esk11_1(X1))|~epred1_1(X1)|~p105(X1))). % 4.89/1.07 cnf(i_0_79, plain, (p105(X1)|r1(X1,esk12_1(X1))|~epred1_1(X1)|~p104(X1))). % 4.89/1.07 cnf(i_0_75, plain, (p105(X1)|r1(X1,esk13_1(X1))|~epred1_1(X1)|~p104(X1))). % 4.89/1.07 cnf(i_0_71, plain, (p104(X1)|r1(X1,esk14_1(X1))|~epred1_1(X1)|~p103(X1))). % 4.89/1.07 cnf(i_0_67, plain, (p104(X1)|r1(X1,esk15_1(X1))|~epred1_1(X1)|~p103(X1))). % 4.89/1.07 cnf(i_0_63, plain, (p103(X1)|r1(X1,esk16_1(X1))|~epred1_1(X1)|~p102(X1))). % 4.89/1.07 cnf(i_0_21, plain, (p2(X1)|~epred1_1(X1)|~p2(X2)|~p101(X2)|~p101(X1)|~r1(X1,X2))). % 4.89/1.07 cnf(i_0_19, plain, (p1(X1)|~epred1_1(X1)|~p1(X2)|~p100(X2)|~p100(X1)|~r1(X1,X2))). % 4.89/1.07 cnf(i_0_38, plain, (p11(X1)|~epred1_1(X2)|~p110(X1)|~p110(X2)|~p11(X2)|~r1(X2,X1))). % 4.89/1.07 cnf(i_0_36, plain, (p10(X1)|~epred1_1(X2)|~p10(X2)|~p109(X1)|~p109(X2)|~r1(X2,X1))). % 4.89/1.07 cnf(i_0_59, plain, (p103(X1)|r1(X1,esk17_1(X1))|~epred1_1(X1)|~p102(X1))). % 4.89/1.07 cnf(i_0_20, plain, (p2(X1)|~epred1_1(X2)|~p2(X2)|~p101(X1)|~p101(X2)|~r1(X2,X1))). % 4.89/1.07 cnf(i_0_18, plain, (p1(X1)|~epred1_1(X2)|~p1(X2)|~p100(X1)|~p100(X2)|~r1(X2,X1))). % 4.89/1.07 cnf(i_0_34, plain, (p9(X1)|~epred1_1(X2)|~p9(X2)|~p108(X1)|~p108(X2)|~r1(X2,X1))). % 4.89/1.07 cnf(i_0_32, plain, (p8(X1)|~epred1_1(X2)|~p8(X2)|~p107(X1)|~p107(X2)|~r1(X2,X1))). % 4.89/1.07 cnf(i_0_30, plain, (p7(X1)|~epred1_1(X2)|~p7(X2)|~p106(X1)|~p106(X2)|~r1(X2,X1))). % 4.89/1.07 cnf(i_0_28, plain, (p6(X1)|~epred1_1(X2)|~p6(X2)|~p105(X1)|~p105(X2)|~r1(X2,X1))). % 4.89/1.07 cnf(i_0_24, plain, (p4(X1)|~epred1_1(X2)|~p4(X2)|~p103(X1)|~p103(X2)|~r1(X2,X1))). % 4.89/1.07 cnf(i_0_22, plain, (p3(X1)|~epred1_1(X2)|~p3(X2)|~p102(X1)|~p102(X2)|~r1(X2,X1))). % 4.89/1.07 # End listing active clauses. There is an equivalent clause to each of these in the clausification! % 4.89/1.07 # Begin printing tableau % 4.89/1.07 # Found 7 steps % 4.89/1.07 cnf(i_0_3, negated_conjecture, (p100(esk1_0)), inference(start_rule)). % 4.89/1.07 cnf(i_0_125, plain, (p100(esk1_0)), inference(extension_rule, [i_0_44])). % 4.89/1.07 cnf(i_0_656, plain, (p101(esk1_0)), inference(closure_rule, [i_0_4])). % 4.89/1.07 cnf(i_0_655, plain, (p101(esk20_1(esk1_0))), inference(extension_rule, [i_0_7])). % 4.89/1.07 cnf(i_0_657, plain, (~epred1_1(esk1_0)), inference(etableau_closure_rule, [i_0_657, ...])). % 4.89/1.07 cnf(i_0_659, plain, (p100(esk20_1(esk1_0))), inference(etableau_closure_rule, [i_0_659, ...])). % 4.89/1.07 cnf(i_0_660, plain, (~epred1_1(esk20_1(esk1_0))), inference(etableau_closure_rule, [i_0_660, ...])). % 4.89/1.07 # End printing tableau % 4.89/1.07 # SZS output end % 4.89/1.07 # Branches closed with saturation will be marked with an "s" % 4.89/1.08 # Child (2391910) has found a proof. % 4.89/1.08 % 4.89/1.08 # Proof search is over... % 4.89/1.08 # Freeing feature tree %------------------------------------------------------------------------------