%------------------------------------------------------------------------------ % File : Etableau---0.67 % Problem : LCL686+1.015 : 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 : n002.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 12:01:48 PM UTC 2026 % Result : Theorem 0.35s 0.65s % Output : Assurance 0s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----No solution output by system %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.05 % Problem : LCL686+1.015 : TPTP v9.3.1. Released v4.0.0. % 0.00/0.06 % Command : etableau --auto --tsmdo --quicksat=10000 --tableau=1 --tableau-saturation=1 -s -p --tableau-cores=8 --cpu-limit=%d %s % 0.17/0.43 % Computer : n002.cluster.edu % 0.17/0.43 % Model : x86_64 x86_64 % 0.17/0.43 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.17/0.43 % Memory : 8046.5625MB % 0.17/0.43 % OS : Linux 6.8.0-71-generic % 0.17/0.43 % CPULimit : 300 % 0.17/0.43 % WCLimit : 300 % 0.17/0.43 % DateTime : Fri Sep 4 19:17:05 UTC 2026 % 0.17/0.43 % CPUTime : % 0.27/0.53 # No SInE strategy applied % 0.27/0.53 # Auto-Mode selected heuristic G_E___208_C18_F1_SE_CS_SP_PS_S5PRR_RG_S04AN % 0.27/0.53 # and selection function SelectComplexExceptUniqMaxHorn. % 0.27/0.53 # % 0.27/0.53 # Presaturation interreduction done % 0.27/0.53 # Number of axioms: 226 Number of unprocessed: 226 % 0.27/0.53 # Tableaux proof search. % 0.27/0.53 # APR header successfully linked. % 0.27/0.53 # Hello from C++ % 0.27/0.56 # The folding up rule is enabled... % 0.27/0.56 # Local unification is enabled... % 0.27/0.56 # Any saturation attempts will use folding labels... % 0.27/0.56 # 226 beginning clauses after preprocessing and clausification % 0.27/0.56 # Creating start rules for all 6 conjectures. % 0.27/0.56 # There are 6 start rule candidates: % 0.27/0.56 # Found 6 unit axioms. % 0.27/0.56 # Unsuccessfully attempted saturation on 1 start tableaux, moving on. % 0.27/0.56 # 6 start rule tableaux created. % 0.27/0.56 # 220 extension rule candidate clauses % 0.27/0.56 # 6 unit axiom clauses % 0.27/0.56 % 0.27/0.56 # Requested 8, 32 cores available to the main process. % 0.27/0.56 # There are not enough tableaux to fork, creating more from the initial 6 % 0.27/0.56 # Returning from population with 223 new_tableaux and 0 remaining starting tableaux. % 0.27/0.56 # We now have 223 tableaux to operate on % 0.35/0.65 # There were 4 total branch saturation attempts. % 0.35/0.65 # There were 0 of these attempts blocked. % 0.35/0.65 # There were 0 deferred branch saturation attempts. % 0.35/0.65 # There were 0 free duplicated saturations. % 0.35/0.65 # There were 4 total successful branch saturations. % 0.35/0.65 # There were 0 successful branch saturations in interreduction. % 0.35/0.65 # There were 0 successful branch saturations on the branch. % 0.35/0.65 # There were 4 successful branch saturations after the branch. % 0.35/0.65 # SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p % 0.35/0.65 # SZS output start for /export/starexec/sandbox/benchmark/theBenchmark.p % 0.35/0.65 # Begin clausification derivation % 0.35/0.65 % 0.35/0.65 # End clausification derivation % 0.35/0.65 # Begin listing active clauses obtained from FOF to CNF conversion % 0.35/0.65 cnf(i_0_7, negated_conjecture, (p45(esk2_0))). % 0.35/0.65 cnf(i_0_5, negated_conjecture, (p1(esk3_0))). % 0.35/0.65 cnf(i_0_8, negated_conjecture, (r1(esk1_0,esk2_0))). % 0.35/0.65 cnf(i_0_4, negated_conjecture, (r1(esk1_0,esk4_0))). % 0.35/0.65 cnf(i_0_6, negated_conjecture, (r1(esk2_0,esk3_0))). % 0.35/0.65 cnf(i_0_1, plain, (r1(X1,X1))). % 0.35/0.65 cnf(i_0_3, negated_conjecture, (epred1_1(X1)|~r1(esk4_0,X1))). % 0.35/0.65 cnf(i_0_96, plain, (~epred1_1(X1)|~p45(esk48_1(X1)))). % 0.35/0.65 cnf(i_0_9, plain, (~epred1_1(X1)|~p2(esk49_1(X1))|~p1(esk49_1(X1)))). % 0.35/0.65 cnf(i_0_93, plain, (~epred1_1(X1)|~p43(esk49_1(X1))|~p44(esk49_1(X1)))). % 0.35/0.65 cnf(i_0_91, plain, (~epred1_1(X1)|~p42(esk49_1(X1))|~p43(esk49_1(X1)))). % 0.35/0.65 cnf(i_0_226, plain, (r1(X1,esk5_1(X1))|~epred1_1(X1))). % 0.35/0.65 cnf(i_0_97, plain, (r1(X1,esk48_1(X1))|~epred1_1(X1))). % 0.35/0.65 cnf(i_0_95, plain, (r1(X1,esk49_1(X1))|~epred1_1(X1))). % 0.35/0.65 cnf(i_0_89, plain, (~epred1_1(X1)|~p41(esk49_1(X1))|~p42(esk49_1(X1)))). % 0.35/0.65 cnf(i_0_87, plain, (~epred1_1(X1)|~p40(esk49_1(X1))|~p41(esk49_1(X1)))). % 0.35/0.65 cnf(i_0_10, plain, (p2(esk49_1(X1))|p1(esk49_1(X1))|~epred1_1(X1))). % 0.35/0.65 cnf(i_0_225, plain, (r1(esk5_1(X1),esk6_1(X1))|~epred1_1(X1))). % 0.35/0.65 cnf(i_0_85, plain, (~epred1_1(X1)|~p39(esk49_1(X1))|~p40(esk49_1(X1)))). % 0.35/0.65 cnf(i_0_83, plain, (~epred1_1(X1)|~p38(esk49_1(X1))|~p39(esk49_1(X1)))). % 0.35/0.65 cnf(i_0_81, plain, (~epred1_1(X1)|~p37(esk49_1(X1))|~p38(esk49_1(X1)))). % 0.35/0.65 cnf(i_0_79, plain, (~epred1_1(X1)|~p36(esk49_1(X1))|~p37(esk49_1(X1)))). % 0.35/0.65 cnf(i_0_224, plain, (r1(esk6_1(X1),esk7_1(X1))|~epred1_1(X1))). % 0.35/0.65 cnf(i_0_77, plain, (~epred1_1(X1)|~p35(esk49_1(X1))|~p36(esk49_1(X1)))). % 0.35/0.65 cnf(i_0_75, plain, (~epred1_1(X1)|~p34(esk49_1(X1))|~p35(esk49_1(X1)))). % 0.35/0.65 cnf(i_0_73, plain, (~epred1_1(X1)|~p33(esk49_1(X1))|~p34(esk49_1(X1)))). % 0.35/0.65 cnf(i_0_71, plain, (~epred1_1(X1)|~p32(esk49_1(X1))|~p33(esk49_1(X1)))). % 0.35/0.65 cnf(i_0_94, plain, (p43(esk49_1(X1))|p44(esk49_1(X1))|~epred1_1(X1))). % 0.35/0.65 cnf(i_0_223, plain, (r1(esk7_1(X1),esk8_1(X1))|~epred1_1(X1))). % 0.35/0.65 cnf(i_0_69, plain, (~epred1_1(X1)|~p31(esk49_1(X1))|~p32(esk49_1(X1)))). % 0.35/0.65 cnf(i_0_67, plain, (~epred1_1(X1)|~p30(esk49_1(X1))|~p31(esk49_1(X1)))). % 0.35/0.65 cnf(i_0_65, plain, (~epred1_1(X1)|~p29(esk49_1(X1))|~p30(esk49_1(X1)))). % 0.35/0.65 cnf(i_0_63, plain, (~epred1_1(X1)|~p28(esk49_1(X1))|~p29(esk49_1(X1)))). % 0.35/0.65 cnf(i_0_222, plain, (r1(esk8_1(X1),esk9_1(X1))|~epred1_1(X1))). % 0.35/0.65 cnf(i_0_61, plain, (~epred1_1(X1)|~p27(esk49_1(X1))|~p28(esk49_1(X1)))). % 0.35/0.65 cnf(i_0_59, plain, (~epred1_1(X1)|~p26(esk49_1(X1))|~p27(esk49_1(X1)))). % 0.35/0.65 cnf(i_0_57, plain, (~epred1_1(X1)|~p25(esk49_1(X1))|~p26(esk49_1(X1)))). % 0.35/0.65 cnf(i_0_55, plain, (~epred1_1(X1)|~p24(esk49_1(X1))|~p25(esk49_1(X1)))). % 0.35/0.65 cnf(i_0_92, plain, (p42(esk49_1(X1))|p43(esk49_1(X1))|~epred1_1(X1))). % 0.35/0.65 cnf(i_0_221, plain, (r1(esk9_1(X1),esk10_1(X1))|~epred1_1(X1))). % 0.35/0.65 cnf(i_0_53, plain, (~epred1_1(X1)|~p23(esk49_1(X1))|~p24(esk49_1(X1)))). % 0.35/0.65 cnf(i_0_51, plain, (~epred1_1(X1)|~p22(esk49_1(X1))|~p23(esk49_1(X1)))). % 0.35/0.65 cnf(i_0_49, plain, (~epred1_1(X1)|~p21(esk49_1(X1))|~p22(esk49_1(X1)))). % 0.35/0.65 cnf(i_0_47, plain, (~epred1_1(X1)|~p20(esk49_1(X1))|~p21(esk49_1(X1)))). % 0.35/0.65 cnf(i_0_220, plain, (r1(esk10_1(X1),esk11_1(X1))|~epred1_1(X1))). % 0.35/0.65 cnf(i_0_45, plain, (~epred1_1(X1)|~p19(esk49_1(X1))|~p20(esk49_1(X1)))). % 0.35/0.65 cnf(i_0_43, plain, (~epred1_1(X1)|~p18(esk49_1(X1))|~p19(esk49_1(X1)))). % 0.35/0.65 cnf(i_0_41, plain, (~epred1_1(X1)|~p17(esk49_1(X1))|~p18(esk49_1(X1)))). % 0.35/0.65 cnf(i_0_39, plain, (~epred1_1(X1)|~p16(esk49_1(X1))|~p17(esk49_1(X1)))). % 0.35/0.65 cnf(i_0_90, plain, (p41(esk49_1(X1))|p42(esk49_1(X1))|~epred1_1(X1))). % 0.35/0.65 cnf(i_0_219, plain, (r1(esk11_1(X1),esk12_1(X1))|~epred1_1(X1))). % 0.35/0.65 cnf(i_0_37, plain, (~epred1_1(X1)|~p15(esk49_1(X1))|~p16(esk49_1(X1)))). % 0.35/0.65 cnf(i_0_35, plain, (~epred1_1(X1)|~p14(esk49_1(X1))|~p15(esk49_1(X1)))). % 0.35/0.65 cnf(i_0_33, plain, (~epred1_1(X1)|~p13(esk49_1(X1))|~p14(esk49_1(X1)))). % 0.35/0.65 cnf(i_0_31, plain, (~epred1_1(X1)|~p12(esk49_1(X1))|~p13(esk49_1(X1)))). % 0.35/0.65 cnf(i_0_218, plain, (r1(esk12_1(X1),esk13_1(X1))|~epred1_1(X1))). % 0.35/0.65 cnf(i_0_29, plain, (~epred1_1(X1)|~p11(esk49_1(X1))|~p12(esk49_1(X1)))). % 0.35/0.65 cnf(i_0_27, plain, (~epred1_1(X1)|~p10(esk49_1(X1))|~p11(esk49_1(X1)))). % 0.35/0.65 cnf(i_0_25, plain, (~epred1_1(X1)|~p9(esk49_1(X1))|~p10(esk49_1(X1)))). % 0.35/0.65 cnf(i_0_23, plain, (~epred1_1(X1)|~p8(esk49_1(X1))|~p9(esk49_1(X1)))). % 0.35/0.65 cnf(i_0_88, plain, (p40(esk49_1(X1))|p41(esk49_1(X1))|~epred1_1(X1))). % 0.35/0.65 cnf(i_0_217, plain, (r1(esk13_1(X1),esk14_1(X1))|~epred1_1(X1))). % 0.35/0.65 cnf(i_0_21, plain, (~epred1_1(X1)|~p7(esk49_1(X1))|~p8(esk49_1(X1)))). % 0.35/0.65 cnf(i_0_19, plain, (~epred1_1(X1)|~p6(esk49_1(X1))|~p7(esk49_1(X1)))). % 0.35/0.65 cnf(i_0_17, plain, (~epred1_1(X1)|~p5(esk49_1(X1))|~p6(esk49_1(X1)))). % 0.35/0.65 cnf(i_0_15, plain, (~epred1_1(X1)|~p4(esk49_1(X1))|~p5(esk49_1(X1)))). % 0.35/0.65 cnf(i_0_216, plain, (r1(esk14_1(X1),esk15_1(X1))|~epred1_1(X1))). % 0.35/0.65 cnf(i_0_13, plain, (~epred1_1(X1)|~p3(esk49_1(X1))|~p4(esk49_1(X1)))). % 0.35/0.65 cnf(i_0_11, plain, (~epred1_1(X1)|~p2(esk49_1(X1))|~p3(esk49_1(X1)))). % 0.35/0.65 cnf(i_0_99, plain, (p1(X1)|~epred1_1(X2)|~p2(X1)|~r1(X2,X1))). % 0.35/0.65 cnf(i_0_98, plain, (p2(X1)|~epred1_1(X2)|~p1(X1)|~r1(X2,X1))). % 0.35/0.65 cnf(i_0_86, plain, (p39(esk49_1(X1))|p40(esk49_1(X1))|~epred1_1(X1))). % 0.35/0.65 cnf(i_0_215, plain, (r1(esk15_1(X1),esk16_1(X1))|~epred1_1(X1))). % 0.35/0.65 cnf(i_0_182, plain, (p44(X1)|~epred1_1(X2)|~p43(X1)|~r1(esk46_1(X2),X1))). % 0.35/0.65 cnf(i_0_183, plain, (p43(X1)|~epred1_1(X2)|~p44(X1)|~r1(esk46_1(X2),X1))). % 0.35/0.65 cnf(i_0_180, plain, (p43(X1)|~epred1_1(X2)|~p42(X1)|~r1(esk45_1(X2),X1))). % 0.35/0.65 cnf(i_0_181, plain, (p42(X1)|~epred1_1(X2)|~p43(X1)|~r1(esk45_1(X2),X1))). % 0.35/0.65 cnf(i_0_214, plain, (r1(esk16_1(X1),esk17_1(X1))|~epred1_1(X1))). % 0.35/0.65 cnf(i_0_213, plain, (r1(esk17_1(X1),esk18_1(X1))|~epred1_1(X1))). % 0.35/0.65 cnf(i_0_212, plain, (r1(esk18_1(X1),esk19_1(X1))|~epred1_1(X1))). % 0.35/0.65 cnf(i_0_211, plain, (r1(esk19_1(X1),esk20_1(X1))|~epred1_1(X1))). % 0.35/0.65 cnf(i_0_210, plain, (r1(esk20_1(X1),esk21_1(X1))|~epred1_1(X1))). % 0.35/0.65 cnf(i_0_84, plain, (p38(esk49_1(X1))|p39(esk49_1(X1))|~epred1_1(X1))). % 0.35/0.65 cnf(i_0_209, plain, (r1(esk21_1(X1),esk22_1(X1))|~epred1_1(X1))). % 0.35/0.65 cnf(i_0_178, plain, (p42(X1)|~epred1_1(X2)|~p41(X1)|~r1(esk44_1(X2),X1))). % 0.35/0.65 cnf(i_0_179, plain, (p41(X1)|~epred1_1(X2)|~p42(X1)|~r1(esk44_1(X2),X1))). % 0.35/0.65 cnf(i_0_176, plain, (p41(X1)|~epred1_1(X2)|~p40(X1)|~r1(esk43_1(X2),X1))). % 0.35/0.65 cnf(i_0_177, plain, (p40(X1)|~epred1_1(X2)|~p41(X1)|~r1(esk43_1(X2),X1))). % 0.35/0.65 cnf(i_0_208, plain, (r1(esk22_1(X1),esk23_1(X1))|~epred1_1(X1))). % 0.35/0.65 cnf(i_0_207, plain, (r1(esk23_1(X1),esk24_1(X1))|~epred1_1(X1))). % 0.35/0.65 cnf(i_0_206, plain, (r1(esk24_1(X1),esk25_1(X1))|~epred1_1(X1))). % 0.35/0.65 cnf(i_0_205, plain, (r1(esk25_1(X1),esk26_1(X1))|~epred1_1(X1))). % 0.35/0.65 cnf(i_0_204, plain, (r1(esk26_1(X1),esk27_1(X1))|~epred1_1(X1))). % 0.35/0.65 cnf(i_0_82, plain, (p37(esk49_1(X1))|p38(esk49_1(X1))|~epred1_1(X1))). % 0.35/0.65 cnf(i_0_203, plain, (r1(esk27_1(X1),esk28_1(X1))|~epred1_1(X1))). % 0.35/0.65 cnf(i_0_174, plain, (p40(X1)|~epred1_1(X2)|~p39(X1)|~r1(esk42_1(X2),X1))). % 0.35/0.65 cnf(i_0_175, plain, (p39(X1)|~epred1_1(X2)|~p40(X1)|~r1(esk42_1(X2),X1))). % 0.35/0.65 cnf(i_0_172, plain, (p39(X1)|~epred1_1(X2)|~p38(X1)|~r1(esk41_1(X2),X1))). % 0.35/0.65 cnf(i_0_173, plain, (p38(X1)|~epred1_1(X2)|~p39(X1)|~r1(esk41_1(X2),X1))). % 0.35/0.65 cnf(i_0_202, plain, (r1(esk28_1(X1),esk29_1(X1))|~epred1_1(X1))). % 0.35/0.65 cnf(i_0_201, plain, (r1(esk29_1(X1),esk30_1(X1))|~epred1_1(X1))). % 0.35/0.65 cnf(i_0_200, plain, (r1(esk30_1(X1),esk31_1(X1))|~epred1_1(X1))). % 0.35/0.65 cnf(i_0_199, plain, (r1(esk31_1(X1),esk32_1(X1))|~epred1_1(X1))). % 0.35/0.65 cnf(i_0_198, plain, (r1(esk32_1(X1),esk33_1(X1))|~epred1_1(X1))). % 0.35/0.65 cnf(i_0_80, plain, (p36(esk49_1(X1))|p37(esk49_1(X1))|~epred1_1(X1))). % 0.35/0.65 cnf(i_0_197, plain, (r1(esk33_1(X1),esk34_1(X1))|~epred1_1(X1))). % 0.35/0.65 cnf(i_0_170, plain, (p38(X1)|~epred1_1(X2)|~p37(X1)|~r1(esk40_1(X2),X1))). % 0.35/0.65 cnf(i_0_171, plain, (p37(X1)|~epred1_1(X2)|~p38(X1)|~r1(esk40_1(X2),X1))). % 0.35/0.65 cnf(i_0_168, plain, (p37(X1)|~epred1_1(X2)|~p36(X1)|~r1(esk39_1(X2),X1))). % 0.35/0.65 cnf(i_0_169, plain, (p36(X1)|~epred1_1(X2)|~p37(X1)|~r1(esk39_1(X2),X1))). % 0.35/0.65 cnf(i_0_196, plain, (r1(esk34_1(X1),esk35_1(X1))|~epred1_1(X1))). % 0.35/0.65 cnf(i_0_195, plain, (r1(esk35_1(X1),esk36_1(X1))|~epred1_1(X1))). % 0.35/0.65 cnf(i_0_194, plain, (r1(esk36_1(X1),esk37_1(X1))|~epred1_1(X1))). % 0.35/0.65 cnf(i_0_193, plain, (r1(esk37_1(X1),esk38_1(X1))|~epred1_1(X1))). % 0.35/0.65 cnf(i_0_192, plain, (r1(esk38_1(X1),esk39_1(X1))|~epred1_1(X1))). % 0.35/0.65 cnf(i_0_78, plain, (p35(esk49_1(X1))|p36(esk49_1(X1))|~epred1_1(X1))). % 0.35/0.65 cnf(i_0_191, plain, (r1(esk39_1(X1),esk40_1(X1))|~epred1_1(X1))). % 0.35/0.65 cnf(i_0_166, plain, (p36(X1)|~epred1_1(X2)|~p35(X1)|~r1(esk38_1(X2),X1))). % 0.35/0.65 cnf(i_0_167, plain, (p35(X1)|~epred1_1(X2)|~p36(X1)|~r1(esk38_1(X2),X1))). % 0.35/0.65 cnf(i_0_164, plain, (p35(X1)|~epred1_1(X2)|~p34(X1)|~r1(esk37_1(X2),X1))). % 0.35/0.65 cnf(i_0_165, plain, (p34(X1)|~epred1_1(X2)|~p35(X1)|~r1(esk37_1(X2),X1))). % 0.35/0.65 cnf(i_0_190, plain, (r1(esk40_1(X1),esk41_1(X1))|~epred1_1(X1))). % 0.35/0.65 cnf(i_0_189, plain, (r1(esk41_1(X1),esk42_1(X1))|~epred1_1(X1))). % 0.35/0.65 cnf(i_0_188, plain, (r1(esk42_1(X1),esk43_1(X1))|~epred1_1(X1))). % 0.35/0.65 cnf(i_0_187, plain, (r1(esk43_1(X1),esk44_1(X1))|~epred1_1(X1))). % 0.35/0.65 cnf(i_0_186, plain, (r1(esk44_1(X1),esk45_1(X1))|~epred1_1(X1))). % 0.35/0.65 cnf(i_0_76, plain, (p34(esk49_1(X1))|p35(esk49_1(X1))|~epred1_1(X1))). % 0.35/0.65 cnf(i_0_185, plain, (r1(esk45_1(X1),esk46_1(X1))|~epred1_1(X1))). % 0.35/0.65 cnf(i_0_162, plain, (p34(X1)|~epred1_1(X2)|~p33(X1)|~r1(esk36_1(X2),X1))). % 0.35/0.65 cnf(i_0_163, plain, (p33(X1)|~epred1_1(X2)|~p34(X1)|~r1(esk36_1(X2),X1))). % 0.35/0.65 cnf(i_0_160, plain, (p33(X1)|~epred1_1(X2)|~p32(X1)|~r1(esk35_1(X2),X1))). % 0.35/0.65 cnf(i_0_161, plain, (p32(X1)|~epred1_1(X2)|~p33(X1)|~r1(esk35_1(X2),X1))). % 0.35/0.65 cnf(i_0_184, plain, (r1(esk46_1(X1),esk47_1(X1))|~epred1_1(X1))). % 0.35/0.65 cnf(i_0_158, plain, (p32(X1)|~epred1_1(X2)|~p31(X1)|~r1(esk34_1(X2),X1))). % 0.35/0.65 cnf(i_0_159, plain, (p31(X1)|~epred1_1(X2)|~p32(X1)|~r1(esk34_1(X2),X1))). % 0.35/0.65 cnf(i_0_156, plain, (p31(X1)|~epred1_1(X2)|~p30(X1)|~r1(esk33_1(X2),X1))). % 0.35/0.65 cnf(i_0_157, plain, (p30(X1)|~epred1_1(X2)|~p31(X1)|~r1(esk33_1(X2),X1))). % 0.35/0.65 cnf(i_0_74, plain, (p33(esk49_1(X1))|p34(esk49_1(X1))|~epred1_1(X1))). % 0.35/0.65 cnf(i_0_72, plain, (p32(esk49_1(X1))|p33(esk49_1(X1))|~epred1_1(X1))). % 0.35/0.65 cnf(i_0_154, plain, (p30(X1)|~epred1_1(X2)|~p29(X1)|~r1(esk32_1(X2),X1))). % 0.35/0.65 cnf(i_0_155, plain, (p29(X1)|~epred1_1(X2)|~p30(X1)|~r1(esk32_1(X2),X1))). % 0.35/0.65 cnf(i_0_152, plain, (p29(X1)|~epred1_1(X2)|~p28(X1)|~r1(esk31_1(X2),X1))). % 0.35/0.65 cnf(i_0_153, plain, (p28(X1)|~epred1_1(X2)|~p29(X1)|~r1(esk31_1(X2),X1))). % 0.35/0.65 cnf(i_0_70, plain, (p31(esk49_1(X1))|p32(esk49_1(X1))|~epred1_1(X1))). % 0.35/0.65 cnf(i_0_150, plain, (p28(X1)|~epred1_1(X2)|~p27(X1)|~r1(esk30_1(X2),X1))). % 0.35/0.65 cnf(i_0_151, plain, (p27(X1)|~epred1_1(X2)|~p28(X1)|~r1(esk30_1(X2),X1))). % 0.35/0.65 cnf(i_0_148, plain, (p27(X1)|~epred1_1(X2)|~p26(X1)|~r1(esk29_1(X2),X1))). % 0.35/0.65 cnf(i_0_149, plain, (p26(X1)|~epred1_1(X2)|~p27(X1)|~r1(esk29_1(X2),X1))). % 0.35/0.65 cnf(i_0_68, plain, (p30(esk49_1(X1))|p31(esk49_1(X1))|~epred1_1(X1))). % 0.35/0.65 cnf(i_0_66, plain, (p29(esk49_1(X1))|p30(esk49_1(X1))|~epred1_1(X1))). % 0.35/0.65 cnf(i_0_146, plain, (p26(X1)|~epred1_1(X2)|~p25(X1)|~r1(esk28_1(X2),X1))). % 0.35/0.65 cnf(i_0_147, plain, (p25(X1)|~epred1_1(X2)|~p26(X1)|~r1(esk28_1(X2),X1))). % 0.35/0.65 cnf(i_0_144, plain, (p25(X1)|~epred1_1(X2)|~p24(X1)|~r1(esk27_1(X2),X1))). % 0.35/0.65 cnf(i_0_145, plain, (p24(X1)|~epred1_1(X2)|~p25(X1)|~r1(esk27_1(X2),X1))). % 0.35/0.65 cnf(i_0_64, plain, (p28(esk49_1(X1))|p29(esk49_1(X1))|~epred1_1(X1))). % 0.35/0.65 cnf(i_0_142, plain, (p24(X1)|~epred1_1(X2)|~p23(X1)|~r1(esk26_1(X2),X1))). % 0.35/0.65 cnf(i_0_143, plain, (p23(X1)|~epred1_1(X2)|~p24(X1)|~r1(esk26_1(X2),X1))). % 0.35/0.65 cnf(i_0_140, plain, (p23(X1)|~epred1_1(X2)|~p22(X1)|~r1(esk25_1(X2),X1))). % 0.35/0.65 cnf(i_0_141, plain, (p22(X1)|~epred1_1(X2)|~p23(X1)|~r1(esk25_1(X2),X1))). % 0.35/0.65 cnf(i_0_62, plain, (p27(esk49_1(X1))|p28(esk49_1(X1))|~epred1_1(X1))). % 0.35/0.65 cnf(i_0_60, plain, (p26(esk49_1(X1))|p27(esk49_1(X1))|~epred1_1(X1))). % 0.35/0.65 cnf(i_0_138, plain, (p22(X1)|~epred1_1(X2)|~p21(X1)|~r1(esk24_1(X2),X1))). % 0.35/0.65 cnf(i_0_139, plain, (p21(X1)|~epred1_1(X2)|~p22(X1)|~r1(esk24_1(X2),X1))). % 0.35/0.65 cnf(i_0_136, plain, (p21(X1)|~epred1_1(X2)|~p20(X1)|~r1(esk23_1(X2),X1))). % 0.35/0.65 cnf(i_0_137, plain, (p20(X1)|~epred1_1(X2)|~p21(X1)|~r1(esk23_1(X2),X1))). % 0.35/0.65 cnf(i_0_58, plain, (p25(esk49_1(X1))|p26(esk49_1(X1))|~epred1_1(X1))). % 0.35/0.65 cnf(i_0_134, plain, (p20(X1)|~epred1_1(X2)|~p19(X1)|~r1(esk22_1(X2),X1))). % 0.35/0.65 cnf(i_0_135, plain, (p19(X1)|~epred1_1(X2)|~p20(X1)|~r1(esk22_1(X2),X1))). % 0.35/0.65 cnf(i_0_132, plain, (p19(X1)|~epred1_1(X2)|~p18(X1)|~r1(esk21_1(X2),X1))). % 0.35/0.65 cnf(i_0_133, plain, (p18(X1)|~epred1_1(X2)|~p19(X1)|~r1(esk21_1(X2),X1))). % 0.35/0.65 cnf(i_0_56, plain, (p24(esk49_1(X1))|p25(esk49_1(X1))|~epred1_1(X1))). % 0.35/0.65 cnf(i_0_54, plain, (p23(esk49_1(X1))|p24(esk49_1(X1))|~epred1_1(X1))). % 0.35/0.65 cnf(i_0_130, plain, (p18(X1)|~epred1_1(X2)|~p17(X1)|~r1(esk20_1(X2),X1))). % 0.35/0.65 cnf(i_0_131, plain, (p17(X1)|~epred1_1(X2)|~p18(X1)|~r1(esk20_1(X2),X1))). % 0.35/0.65 cnf(i_0_128, plain, (p17(X1)|~epred1_1(X2)|~p16(X1)|~r1(esk19_1(X2),X1))). % 0.35/0.65 cnf(i_0_129, plain, (p16(X1)|~epred1_1(X2)|~p17(X1)|~r1(esk19_1(X2),X1))). % 0.35/0.65 cnf(i_0_52, plain, (p22(esk49_1(X1))|p23(esk49_1(X1))|~epred1_1(X1))). % 0.35/0.65 cnf(i_0_126, plain, (p16(X1)|~epred1_1(X2)|~p15(X1)|~r1(esk18_1(X2),X1))). % 0.35/0.65 cnf(i_0_127, plain, (p15(X1)|~epred1_1(X2)|~p16(X1)|~r1(esk18_1(X2),X1))). % 0.35/0.65 cnf(i_0_124, plain, (p15(X1)|~epred1_1(X2)|~p14(X1)|~r1(esk17_1(X2),X1))). % 0.35/0.65 cnf(i_0_125, plain, (p14(X1)|~epred1_1(X2)|~p15(X1)|~r1(esk17_1(X2),X1))). % 0.35/0.65 cnf(i_0_50, plain, (p21(esk49_1(X1))|p22(esk49_1(X1))|~epred1_1(X1))). % 0.35/0.65 cnf(i_0_48, plain, (p20(esk49_1(X1))|p21(esk49_1(X1))|~epred1_1(X1))). % 0.35/0.65 cnf(i_0_122, plain, (p14(X1)|~epred1_1(X2)|~p13(X1)|~r1(esk16_1(X2),X1))). % 0.35/0.65 cnf(i_0_123, plain, (p13(X1)|~epred1_1(X2)|~p14(X1)|~r1(esk16_1(X2),X1))). % 0.35/0.65 cnf(i_0_120, plain, (p13(X1)|~epred1_1(X2)|~p12(X1)|~r1(esk15_1(X2),X1))). % 0.35/0.65 cnf(i_0_121, plain, (p12(X1)|~epred1_1(X2)|~p13(X1)|~r1(esk15_1(X2),X1))). % 0.35/0.65 cnf(i_0_46, plain, (p19(esk49_1(X1))|p20(esk49_1(X1))|~epred1_1(X1))). % 0.35/0.65 cnf(i_0_118, plain, (p12(X1)|~epred1_1(X2)|~p11(X1)|~r1(esk14_1(X2),X1))). % 0.35/0.65 cnf(i_0_119, plain, (p11(X1)|~epred1_1(X2)|~p12(X1)|~r1(esk14_1(X2),X1))). % 0.35/0.65 cnf(i_0_116, plain, (p11(X1)|~epred1_1(X2)|~p10(X1)|~r1(esk13_1(X2),X1))). % 0.35/0.65 cnf(i_0_117, plain, (p10(X1)|~epred1_1(X2)|~p11(X1)|~r1(esk13_1(X2),X1))). % 0.35/0.65 cnf(i_0_44, plain, (p18(esk49_1(X1))|p19(esk49_1(X1))|~epred1_1(X1))). % 0.35/0.65 cnf(i_0_42, plain, (p17(esk49_1(X1))|p18(esk49_1(X1))|~epred1_1(X1))). % 0.35/0.65 cnf(i_0_114, plain, (p10(X1)|~epred1_1(X2)|~p9(X1)|~r1(esk12_1(X2),X1))). % 0.35/0.65 cnf(i_0_115, plain, (p9(X1)|~epred1_1(X2)|~p10(X1)|~r1(esk12_1(X2),X1))). % 0.35/0.65 cnf(i_0_112, plain, (p9(X1)|~epred1_1(X2)|~p8(X1)|~r1(esk11_1(X2),X1))). % 0.35/0.65 cnf(i_0_113, plain, (p8(X1)|~epred1_1(X2)|~p9(X1)|~r1(esk11_1(X2),X1))). % 0.35/0.65 cnf(i_0_40, plain, (p16(esk49_1(X1))|p17(esk49_1(X1))|~epred1_1(X1))). % 0.35/0.65 cnf(i_0_110, plain, (p8(X1)|~epred1_1(X2)|~p7(X1)|~r1(esk10_1(X2),X1))). % 0.35/0.65 cnf(i_0_111, plain, (p7(X1)|~epred1_1(X2)|~p8(X1)|~r1(esk10_1(X2),X1))). % 0.35/0.65 cnf(i_0_108, plain, (p7(X1)|~epred1_1(X2)|~p6(X1)|~r1(esk9_1(X2),X1))). % 0.35/0.65 cnf(i_0_109, plain, (p6(X1)|~epred1_1(X2)|~p7(X1)|~r1(esk9_1(X2),X1))). % 0.35/0.65 cnf(i_0_38, plain, (p15(esk49_1(X1))|p16(esk49_1(X1))|~epred1_1(X1))). % 0.35/0.65 cnf(i_0_36, plain, (p14(esk49_1(X1))|p15(esk49_1(X1))|~epred1_1(X1))). % 0.35/0.65 cnf(i_0_106, plain, (p6(X1)|~epred1_1(X2)|~p5(X1)|~r1(esk8_1(X2),X1))). % 0.35/0.65 cnf(i_0_107, plain, (p5(X1)|~epred1_1(X2)|~p6(X1)|~r1(esk8_1(X2),X1))). % 0.35/0.65 cnf(i_0_104, plain, (p5(X1)|~epred1_1(X2)|~p4(X1)|~r1(esk7_1(X2),X1))). % 0.35/0.65 cnf(i_0_105, plain, (p4(X1)|~epred1_1(X2)|~p5(X1)|~r1(esk7_1(X2),X1))). % 0.35/0.65 cnf(i_0_34, plain, (p13(esk49_1(X1))|p14(esk49_1(X1))|~epred1_1(X1))). % 0.35/0.65 cnf(i_0_102, plain, (p4(X1)|~epred1_1(X2)|~p3(X1)|~r1(esk6_1(X2),X1))). % 0.35/0.65 cnf(i_0_103, plain, (p3(X1)|~epred1_1(X2)|~p4(X1)|~r1(esk6_1(X2),X1))). % 0.35/0.65 cnf(i_0_100, plain, (p3(X1)|~epred1_1(X2)|~p2(X1)|~r1(esk5_1(X2),X1))). % 0.35/0.65 cnf(i_0_101, plain, (p2(X1)|~epred1_1(X2)|~p3(X1)|~r1(esk5_1(X2),X1))). % 0.35/0.65 cnf(i_0_32, plain, (p12(esk49_1(X1))|p13(esk49_1(X1))|~epred1_1(X1))). % 0.35/0.65 cnf(i_0_30, plain, (p11(esk49_1(X1))|p12(esk49_1(X1))|~epred1_1(X1))). % 0.35/0.65 cnf(i_0_2, plain, (r1(X1,X2)|~r1(X3,X2)|~r1(X1,X3))). % 0.35/0.65 cnf(i_0_28, plain, (p10(esk49_1(X1))|p11(esk49_1(X1))|~epred1_1(X1))). % 0.35/0.65 cnf(i_0_26, plain, (p9(esk49_1(X1))|p10(esk49_1(X1))|~epred1_1(X1))). % 0.35/0.65 cnf(i_0_24, plain, (p8(esk49_1(X1))|p9(esk49_1(X1))|~epred1_1(X1))). % 0.35/0.65 cnf(i_0_22, plain, (p7(esk49_1(X1))|p8(esk49_1(X1))|~epred1_1(X1))). % 0.35/0.65 cnf(i_0_20, plain, (p6(esk49_1(X1))|p7(esk49_1(X1))|~epred1_1(X1))). % 0.35/0.65 cnf(i_0_18, plain, (p5(esk49_1(X1))|p6(esk49_1(X1))|~epred1_1(X1))). % 0.35/0.65 cnf(i_0_16, plain, (p4(esk49_1(X1))|p5(esk49_1(X1))|~epred1_1(X1))). % 0.35/0.65 cnf(i_0_14, plain, (p3(esk49_1(X1))|p4(esk49_1(X1))|~epred1_1(X1))). % 0.35/0.65 cnf(i_0_12, plain, (p2(esk49_1(X1))|p3(esk49_1(X1))|~epred1_1(X1))). % 0.35/0.65 # End listing active clauses. There is an equivalent clause to each of these in the clausification! % 0.35/0.65 # Begin printing tableau % 0.35/0.65 # Found 9 steps % 0.35/0.65 cnf(i_0_4, negated_conjecture, (r1(esk1_0,esk4_0)), inference(start_rule)). % 0.35/0.65 cnf(i_0_230, plain, (r1(esk1_0,esk4_0)), inference(extension_rule, [i_0_98])). % 0.35/0.65 cnf(i_0_1980, plain, (p2(esk4_0)), inference(extension_rule, [i_0_100])). % 0.35/0.65 cnf(i_0_1981, plain, (~epred1_1(esk1_0)), inference(etableau_closure_rule, [i_0_1981, ...])). % 0.35/0.65 cnf(i_0_1982, plain, (~p1(esk4_0)), inference(etableau_closure_rule, [i_0_1982, ...])). % 0.35/0.65 cnf(i_0_2629, plain, (p3(esk4_0)), inference(etableau_closure_rule, [i_0_2629, ...])). % 0.35/0.65 cnf(i_0_2630, plain, (~epred1_1(esk4_0)), inference(extension_rule, [i_0_3])). % 0.35/0.65 cnf(i_0_3663, plain, (~r1(esk4_0,esk4_0)), inference(closure_rule, [i_0_1])). % 0.35/0.65 cnf(i_0_2632, plain, (~r1(esk5_1(esk4_0),esk4_0)), inference(etableau_closure_rule, [i_0_2632, ...])). % 0.35/0.65 # End printing tableau % 0.35/0.65 # SZS output end % 0.35/0.65 # Branches closed with saturation will be marked with an "s" % 0.35/0.65 # Child (2033622) has found a proof. % 0.35/0.65 % 0.35/0.66 # Proof search is over... % 0.35/0.66 # Freeing feature tree %------------------------------------------------------------------------------