0.03/0.12 % Problem : theBenchmark.p : TPTP v0.0.0. Released v0.0.0. 0.03/0.13 % Command : etableau --auto --tsmdo --quicksat=10000 --tableau=1 --tableau-saturation=1 -s -p --tableau-cores=8 --cpu-limit=%d %s 0.12/0.34 Computer : n018.cluster.edu 0.12/0.34 Model : x86_64 x86_64 0.12/0.34 CPUModel : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz 0.12/0.34 RAMPerCPU : 8042.1875MB 0.12/0.34 OS : Linux 3.10.0-693.el7.x86_64 0.12/0.34 % CPULimit : 960 0.12/0.34 % WCLimit : 120 0.12/0.34 % DateTime : Tue Aug 9 02:46:15 EDT 2022 0.12/0.34 % CPUTime : 0.19/0.38 # No SInE strategy applied 0.19/0.38 # Auto-Mode selected heuristic G_E___208_C18C___F1_SE_CS_SP_PS_S5PRR_RG_S04AN 0.19/0.38 # and selection function SelectComplexExceptUniqMaxHorn. 0.19/0.38 # 0.19/0.38 # Presaturation interreduction done 0.19/0.38 # Number of axioms: 101 Number of unprocessed: 101 0.19/0.38 # Tableaux proof search. 0.19/0.38 # APR header successfully linked. 0.19/0.38 # Hello from C++ 5.99/6.19 # The folding up rule is enabled... 5.99/6.19 # Local unification is enabled... 5.99/6.19 # Any saturation attempts will use folding labels... 5.99/6.19 # 101 beginning clauses after preprocessing and clausification 5.99/6.19 # Creating start rules for all 1 conjectures. 5.99/6.19 # There are 1 start rule candidates: 5.99/6.19 # Found 16 unit axioms. 5.99/6.19 # 1 start rule tableaux created. 5.99/6.19 # 85 extension rule candidate clauses 5.99/6.19 # 16 unit axiom clauses 5.99/6.19 5.99/6.19 # Requested 8, 32 cores available to the main process. 5.99/6.19 # There are not enough tableaux to fork, creating more from the initial 1 37.80/37.97 # Returning from population with 9 new_tableaux and 0 remaining starting tableaux. 37.80/37.97 # We now have 9 tableaux to operate on 577.71/106.36 # Creating equality axioms 577.71/106.36 # Ran out of tableaux, making start rules for all clauses 578.25/106.44 # Creating equality axioms 578.25/106.44 # Ran out of tableaux, making start rules for all clauses 592.65/108.20 # There were 14 total branch saturation attempts. 592.65/108.20 # There were 5 of these attempts blocked. 592.65/108.20 # There were 0 deferred branch saturation attempts. 592.65/108.20 # There were 4 free duplicated saturations. 592.65/108.20 # There were 7 total successful branch saturations. 592.65/108.20 # There were 0 successful branch saturations in interreduction. 592.65/108.20 # There were 0 successful branch saturations on the branch. 592.65/108.20 # There were 3 successful branch saturations after the branch. 592.65/108.20 # SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p 592.65/108.20 # SZS output start for /export/starexec/sandbox2/benchmark/theBenchmark.p 592.65/108.20 # Begin clausification derivation 592.65/108.20 592.65/108.20 # End clausification derivation 592.65/108.20 # Begin listing active clauses obtained from FOF to CNF conversion 592.65/108.20 cnf(i_0_87, hypothesis, (sdtasdt0(xc,xv)=xy)). 592.65/108.20 cnf(i_0_61, hypothesis, (sdtasdt0(xc,xu)=xx)). 592.65/108.20 cnf(i_0_69, hypothesis, (sdtasdt0(xc,esk20_0)=xx)). 592.65/108.20 cnf(i_0_67, plain, (aElement0(sz10))). 592.65/108.20 cnf(i_0_62, hypothesis, (aElement0(xu))). 592.65/108.20 cnf(i_0_54, plain, (aElement0(sz00))). 592.65/108.20 cnf(i_0_90, hypothesis, (aElement0(xc))). 592.65/108.20 cnf(i_0_73, hypothesis, (aElement0(xz))). 592.65/108.20 cnf(i_0_86, hypothesis, (aElement0(xv))). 592.65/108.20 cnf(i_0_71, hypothesis, (sdtasdt0(xc,esk19_0)=xy)). 592.65/108.20 cnf(i_0_72, hypothesis, (aElement0(esk19_0))). 592.65/108.20 cnf(i_0_68, hypothesis, (aElement0(esk20_0))). 592.65/108.20 cnf(i_0_70, hypothesis, (aElementOf0(xx,slsdtgt0(xc)))). 592.65/108.20 cnf(i_0_74, hypothesis, (aElementOf0(xy,slsdtgt0(xc)))). 592.65/108.20 cnf(i_0_65, plain, (sz10!=sz00)). 592.65/108.20 cnf(i_0_95, negated_conjecture, (sdtasdt0(xc,sdtpldt0(xu,xv))!=sdtpldt0(xx,xy))). 592.65/108.20 cnf(i_0_24, plain, (aSet0(X1)|~aIdeal0(X1))). 592.65/108.20 cnf(i_0_88, plain, (sdtasdt0(sz00,X1)=sz00|~aElement0(X1))). 592.65/108.20 cnf(i_0_32, plain, (aElement0(X1)|~aDivisorOf0(X1,X2)|~aElement0(X2))). 592.65/108.20 cnf(i_0_63, plain, (aElement0(X1)|~aElementOf0(X1,X2)|~aSet0(X2))). 592.65/108.20 cnf(i_0_55, plain, (aElement0(smndt0(X1))|~aElement0(X1))). 592.65/108.20 cnf(i_0_89, plain, (sdtasdt0(X1,sz00)=sz00|~aElement0(X1))). 592.65/108.20 cnf(i_0_81, plain, (sdtpldt0(X1,sz00)=X1|~aElement0(X1))). 592.65/108.20 cnf(i_0_82, plain, (sdtpldt0(sz00,X1)=X1|~aElement0(X1))). 592.65/108.20 cnf(i_0_97, plain, (sdtasdt0(sz10,X1)=X1|~aElement0(X1))). 592.65/108.20 cnf(i_0_96, plain, (sdtasdt0(X1,sz10)=X1|~aElement0(X1))). 592.65/108.20 cnf(i_0_47, plain, (aSet0(slsdtgt0(X1))|~aElement0(X1))). 592.65/108.20 cnf(i_0_78, plain, (sdtpldt0(X1,smndt0(X1))=sz00|~aElement0(X1))). 592.65/108.20 cnf(i_0_31, plain, (doDivides0(X1,X2)|~aDivisorOf0(X1,X2)|~aElement0(X2))). 592.65/108.20 cnf(i_0_30, plain, (aDivisorOf0(X1,X2)|~doDivides0(X1,X2)|~aElement0(X2)|~aElement0(X1))). 592.65/108.20 cnf(i_0_37, plain, (aDivisorOf0(X1,X2)|~aGcdOfAnd0(X1,X3,X2)|~aElement0(X3)|~aElement0(X2))). 592.65/108.20 cnf(i_0_38, plain, (aDivisorOf0(X1,X2)|~aGcdOfAnd0(X1,X2,X3)|~aElement0(X3)|~aElement0(X2))). 592.65/108.20 cnf(i_0_79, plain, (sdtpldt0(smndt0(X1),X1)=sz00|~aElement0(X1))). 592.65/108.20 cnf(i_0_76, plain, (sdtasdt0(X1,smndt0(sz10))=smndt0(X1)|~aElement0(X1))). 592.65/108.20 cnf(i_0_77, plain, (sdtasdt0(smndt0(sz10),X1)=smndt0(X1)|~aElement0(X1))). 592.65/108.20 cnf(i_0_84, plain, (aElement0(sdtpldt0(X1,X2))|~aElement0(X2)|~aElement0(X1))). 592.65/108.20 cnf(i_0_64, plain, (aElement0(sdtasdt0(X1,X2))|~aElement0(X2)|~aElement0(X1))). 592.65/108.20 cnf(i_0_104, plain, (X1=sz00|aNaturalNumber0(sbrdtbr0(X1))|~aElement0(X1))). 592.65/108.20 cnf(i_0_21, plain, (aIdeal0(X1)|aElementOf0(esk7_1(X1),X1)|~aSet0(X1))). 592.65/108.20 cnf(i_0_48, plain, (aIdeal0(sdtpldt1(X1,X2))|~aIdeal0(X1)|~aIdeal0(X2))). 592.65/108.20 cnf(i_0_66, plain, (aIdeal0(sdtasasdt0(X1,X2))|~aIdeal0(X1)|~aIdeal0(X2))). 592.65/108.20 cnf(i_0_40, plain, (aGcdOfAnd0(sz10,X1,X2)|~misRelativelyPrime0(X1,X2)|~aElement0(X2)|~aElement0(X1))). 592.65/108.20 cnf(i_0_9, plain, (aSet0(sdtpldt1(X1,X2))|~aSet0(X2)|~aSet0(X1))). 592.65/108.20 cnf(i_0_105, plain, (sdtpldt0(X1,X2)=sdtpldt0(X2,X1)|~aElement0(X2)|~aElement0(X1))). 592.65/108.20 cnf(i_0_94, plain, (sdtasdt0(X1,X2)=sdtasdt0(X2,X1)|~aElement0(X2)|~aElement0(X1))). 592.65/108.20 cnf(i_0_85, plain, (sz00=X1|X2=sz00|sdtasdt0(X1,X2)!=sz00|~aElement0(X1)|~aElement0(X2))). 592.65/108.20 cnf(i_0_16, plain, (aSet0(sdtasasdt0(X1,X2))|~aSet0(X2)|~aSet0(X1))). 592.65/108.20 cnf(i_0_60, plain, (X1=sz00|aElement0(esk17_2(X2,X1))|~aElement0(X1)|~aElement0(X2))). 592.65/108.20 cnf(i_0_39, plain, (misRelativelyPrime0(X1,X2)|~aGcdOfAnd0(sz10,X1,X2)|~aElement0(X2)|~aElement0(X1))). 592.65/108.20 cnf(i_0_29, plain, (aElement0(esk10_2(X1,X2))|~doDivides0(X1,X2)|~aElement0(X2)|~aElement0(X1))). 592.65/108.20 cnf(i_0_59, plain, (X1=sz00|aElement0(esk18_2(X2,X1))|~aElement0(X1)|~aElement0(X2))). 592.65/108.20 cnf(i_0_20, plain, (aElement0(esk9_1(X1))|aIdeal0(X1)|aElementOf0(esk8_1(X1),X1)|~aSet0(X1))). 592.65/108.20 cnf(i_0_22, plain, (aElementOf0(sdtasdt0(X1,X2),X3)|~aElement0(X1)|~aIdeal0(X3)|~aElementOf0(X2,X3))). 592.65/108.20 cnf(i_0_28, plain, (sdtasdt0(X1,esk10_2(X1,X2))=X2|~doDivides0(X1,X2)|~aElement0(X2)|~aElement0(X1))). 592.65/108.20 cnf(i_0_27, plain, (doDivides0(X1,sdtasdt0(X1,X2))|~aElement0(X1)|~aElement0(X2))). 592.65/108.20 cnf(i_0_53, plain, (sdtpldt0(sdtpldt0(X1,X2),X3)=sdtpldt0(X1,sdtpldt0(X2,X3))|~aElement0(X3)|~aElement0(X2)|~aElement0(X1))). 592.65/108.20 cnf(i_0_44, plain, (aElementOf0(sdtasdt0(X1,X2),slsdtgt0(X1))|~aElement0(X1)|~aElement0(X2))). 592.65/108.20 cnf(i_0_23, plain, (aElementOf0(sdtpldt0(X1,X2),X3)|~aIdeal0(X3)|~aElementOf0(X1,X3)|~aElementOf0(X2,X3))). 592.65/108.20 cnf(i_0_25, plain, (sdteqdtlpzmzozddtrp0(X1,X2,X3)|~aElement0(X2)|~aElement0(X1)|~aIdeal0(X3)|~aElementOf0(sdtpldt0(X1,smndt0(X2)),X3))). 592.65/108.20 cnf(i_0_49, plain, (X1=X2|~aElementOf0(esk15_2(X1,X2),X1)|~aElementOf0(esk16_2(X1,X2),X2)|~aSet0(X2)|~aSet0(X1))). 592.65/108.20 cnf(i_0_46, plain, (aElement0(esk12_3(X1,slsdtgt0(X1),X2))|~aElement0(X1)|~aElementOf0(X2,slsdtgt0(X1)))). 592.65/108.20 cnf(i_0_83, plain, (sdtasdt0(sdtasdt0(X1,X2),X3)=sdtasdt0(X1,sdtasdt0(X2,X3))|~aElement0(X3)|~aElement0(X2)|~aElement0(X1))). 592.65/108.20 cnf(i_0_18, plain, (aElement0(esk9_1(X1))|aIdeal0(X1)|~aElementOf0(sdtpldt0(esk7_1(X1),esk8_1(X1)),X1)|~aSet0(X1))). 592.65/108.20 cnf(i_0_92, plain, (sdtpldt0(sdtasdt0(X1,X2),sdtasdt0(X3,X2))=sdtasdt0(sdtpldt0(X1,X3),X2)|~aElement0(X2)|~aElement0(X3)|~aElement0(X1))). 592.65/108.20 cnf(i_0_45, plain, (sdtasdt0(X1,esk12_3(X1,slsdtgt0(X1),X2))=X2|~aElement0(X1)|~aElementOf0(X2,slsdtgt0(X1)))). 592.65/108.20 cnf(i_0_91, plain, (sdtpldt0(sdtasdt0(X1,X2),sdtasdt0(X1,X3))=sdtasdt0(X1,sdtpldt0(X2,X3))|~aElement0(X3)|~aElement0(X2)|~aElement0(X1))). 592.65/108.20 cnf(i_0_14, plain, (aElementOf0(X1,X2)|~aElementOf0(X1,sdtasasdt0(X3,X2))|~aSet0(X3)|~aSet0(X2))). 592.65/108.20 cnf(i_0_15, plain, (aElementOf0(X1,X2)|~aElementOf0(X1,sdtasasdt0(X2,X3))|~aSet0(X3)|~aSet0(X2))). 592.65/108.20 cnf(i_0_58, plain, (sdtpldt0(sdtasdt0(esk17_2(X1,X2),X2),esk18_2(X1,X2))=X1|X2=sz00|~aElement0(X2)|~aElement0(X1))). 592.65/108.20 cnf(i_0_17, plain, (aIdeal0(X1)|~aElementOf0(sdtpldt0(esk7_1(X1),esk8_1(X1)),X1)|~aElementOf0(sdtasdt0(esk9_1(X1),esk7_1(X1)),X1)|~aSet0(X1))). 592.65/108.20 cnf(i_0_19, plain, (aIdeal0(X1)|aElementOf0(esk8_1(X1),X1)|~aElementOf0(sdtasdt0(esk9_1(X1),esk7_1(X1)),X1)|~aSet0(X1))). 592.65/108.20 cnf(i_0_51, plain, (X1=X2|aElementOf0(esk15_2(X1,X2),X2)|~aElementOf0(esk16_2(X1,X2),X2)|~aSet0(X2)|~aSet0(X1))). 592.65/108.20 cnf(i_0_26, plain, (aElementOf0(sdtpldt0(X1,smndt0(X2)),X3)|~sdteqdtlpzmzozddtrp0(X1,X2,X3)|~aElement0(X2)|~aElement0(X1)|~aIdeal0(X3))). 592.65/108.20 cnf(i_0_42, plain, (X1=slsdtgt0(X2)|aElement0(esk14_2(X2,X1))|aElementOf0(esk13_2(X2,X1),X1)|~aElement0(X2)|~aSet0(X1))). 592.65/108.20 cnf(i_0_50, plain, (X1=X2|aElementOf0(esk16_2(X1,X2),X1)|~aElementOf0(esk15_2(X1,X2),X1)|~aSet0(X2)|~aSet0(X1))). 592.65/108.20 cnf(i_0_33, plain, (aGcdOfAnd0(X1,X2,X3)|~aDivisorOf0(X1,X3)|~aDivisorOf0(X1,X2)|~doDivides0(esk11_3(X2,X3,X1),X1)|~aElement0(X3)|~aElement0(X2))). 592.65/108.20 cnf(i_0_36, plain, (doDivides0(X1,X2)|~aGcdOfAnd0(X2,X3,X4)|~aDivisorOf0(X1,X4)|~aDivisorOf0(X1,X3)|~aElement0(X4)|~aElement0(X3))). 592.65/108.20 cnf(i_0_13, plain, (aElementOf0(X1,sdtasasdt0(X2,X3))|~aElementOf0(X1,X3)|~aElementOf0(X1,X2)|~aSet0(X3)|~aSet0(X2))). 592.65/108.20 cnf(i_0_57, plain, (esk18_2(X1,X2)=sz00|X2=sz00|iLess0(sbrdtbr0(esk18_2(X1,X2)),sbrdtbr0(X2))|~aElement0(X2)|~aElement0(X1))). 592.65/108.20 cnf(i_0_43, plain, (X1=slsdtgt0(X2)|esk13_2(X2,X1)!=sdtasdt0(X2,X3)|~aElement0(X3)|~aElement0(X2)|~aElementOf0(esk13_2(X2,X1),X1)|~aSet0(X1))). 592.65/108.20 cnf(i_0_103, plain, (aElement0(esk22_4(X1,X2,X3,X4))|aElement0(esk21_2(X1,X2))|~aElement0(X4)|~aElement0(X3)|~aIdeal0(X2)|~aIdeal0(X1))). 592.65/108.20 cnf(i_0_8, plain, (aElementOf0(esk1_4(X1,X2,sdtpldt1(X1,X2),X3),X1)|~aElementOf0(X3,sdtpldt1(X1,X2))|~aSet0(X2)|~aSet0(X1))). 592.65/108.20 cnf(i_0_52, plain, (X1=X2|aElementOf0(esk16_2(X1,X2),X1)|aElementOf0(esk15_2(X1,X2),X2)|~aSet0(X2)|~aSet0(X1))). 592.65/108.20 cnf(i_0_5, plain, (aElementOf0(sdtpldt0(X1,X2),sdtpldt1(X3,X4))|~aElementOf0(X2,X4)|~aElementOf0(X1,X3)|~aSet0(X4)|~aSet0(X3))). 592.65/108.20 cnf(i_0_34, plain, (aGcdOfAnd0(X1,X2,X3)|aDivisorOf0(esk11_3(X2,X3,X1),X3)|~aDivisorOf0(X1,X3)|~aDivisorOf0(X1,X2)|~aElement0(X3)|~aElement0(X2))). 592.65/108.20 cnf(i_0_35, plain, (aGcdOfAnd0(X1,X2,X3)|aDivisorOf0(esk11_3(X2,X3,X1),X2)|~aDivisorOf0(X1,X3)|~aDivisorOf0(X1,X2)|~aElement0(X3)|~aElement0(X2))). 592.65/108.20 cnf(i_0_7, plain, (aElementOf0(esk2_4(X1,X2,sdtpldt1(X1,X2),X3),X2)|~aElementOf0(X3,sdtpldt1(X1,X2))|~aSet0(X2)|~aSet0(X1))). 592.65/108.20 cnf(i_0_41, plain, (sdtasdt0(X1,esk14_2(X1,X2))=esk13_2(X1,X2)|X2=slsdtgt0(X1)|aElementOf0(esk13_2(X1,X2),X2)|~aElement0(X1)|~aSet0(X2))). 592.65/108.20 cnf(i_0_101, plain, (sdteqdtlpzmzozddtrp0(esk22_4(X1,X2,X3,X4),X4,X2)|aElement0(esk21_2(X1,X2))|~aElement0(X4)|~aElement0(X3)|~aIdeal0(X2)|~aIdeal0(X1))). 592.65/108.20 cnf(i_0_102, plain, (sdteqdtlpzmzozddtrp0(esk22_4(X1,X2,X3,X4),X3,X1)|aElement0(esk21_2(X1,X2))|~aElement0(X4)|~aElement0(X3)|~aIdeal0(X2)|~aIdeal0(X1))). 592.65/108.20 cnf(i_0_100, plain, (aElement0(esk22_4(X1,X2,X3,X4))|~aElement0(X4)|~aElement0(X3)|~aIdeal0(X2)|~aIdeal0(X1)|~aElementOf0(esk21_2(X1,X2),sdtpldt1(X1,X2)))). 592.65/108.20 cnf(i_0_3, plain, (X1=sdtpldt1(X2,X3)|aElementOf0(esk4_3(X2,X3,X1),X2)|aElementOf0(esk3_3(X2,X3,X1),X1)|~aSet0(X1)|~aSet0(X3)|~aSet0(X2))). 592.65/108.20 cnf(i_0_12, plain, (X1=sdtasasdt0(X2,X3)|~aElementOf0(esk6_3(X2,X3,X1),X1)|~aElementOf0(esk6_3(X2,X3,X1),X3)|~aElementOf0(esk6_3(X2,X3,X1),X2)|~aSet0(X1)|~aSet0(X3)|~aSet0(X2))). 592.65/108.20 cnf(i_0_98, plain, (sdteqdtlpzmzozddtrp0(esk22_4(X1,X2,X3,X4),X4,X2)|~aElement0(X4)|~aElement0(X3)|~aIdeal0(X2)|~aIdeal0(X1)|~aElementOf0(esk21_2(X1,X2),sdtpldt1(X1,X2)))). 592.65/108.20 cnf(i_0_99, plain, (sdteqdtlpzmzozddtrp0(esk22_4(X1,X2,X3,X4),X3,X1)|~aElement0(X4)|~aElement0(X3)|~aIdeal0(X2)|~aIdeal0(X1)|~aElementOf0(esk21_2(X1,X2),sdtpldt1(X1,X2)))). 592.65/108.20 cnf(i_0_4, plain, (X1=sdtpldt1(X2,X3)|sdtpldt0(X4,X5)!=esk3_3(X2,X3,X1)|~aElementOf0(esk3_3(X2,X3,X1),X1)|~aElementOf0(X5,X3)|~aElementOf0(X4,X2)|~aSet0(X1)|~aSet0(X3)|~aSet0(X2))). 592.65/108.20 cnf(i_0_2, plain, (X1=sdtpldt1(X2,X3)|aElementOf0(esk5_3(X2,X3,X1),X3)|aElementOf0(esk3_3(X2,X3,X1),X1)|~aSet0(X1)|~aSet0(X3)|~aSet0(X2))). 592.65/108.20 cnf(i_0_10, plain, (X1=sdtasasdt0(X2,X3)|aElementOf0(esk6_3(X2,X3,X1),X3)|aElementOf0(esk6_3(X2,X3,X1),X1)|~aSet0(X1)|~aSet0(X3)|~aSet0(X2))). 592.65/108.20 cnf(i_0_11, plain, (X1=sdtasasdt0(X2,X3)|aElementOf0(esk6_3(X2,X3,X1),X2)|aElementOf0(esk6_3(X2,X3,X1),X1)|~aSet0(X1)|~aSet0(X3)|~aSet0(X2))). 592.65/108.20 cnf(i_0_6, plain, (sdtpldt0(esk1_4(X1,X2,sdtpldt1(X1,X2),X3),esk2_4(X1,X2,sdtpldt1(X1,X2),X3))=X3|~aElementOf0(X3,sdtpldt1(X1,X2))|~aSet0(X2)|~aSet0(X1))). 592.65/108.20 cnf(i_0_1, plain, (sdtpldt0(esk4_3(X1,X2,X3),esk5_3(X1,X2,X3))=esk3_3(X1,X2,X3)|X3=sdtpldt1(X1,X2)|aElementOf0(esk3_3(X1,X2,X3),X3)|~aSet0(X3)|~aSet0(X2)|~aSet0(X1))). 592.65/108.20 cnf(i_0_7219208, plain, (X112=X112)). 592.65/108.20 # End listing active clauses. There is an equivalent clause to each of these in the clausification! 592.65/108.20 # Begin printing tableau 592.65/108.20 # Found 9 steps 592.65/108.20 cnf(i_0_7219208, plain, (slsdtgt0(sz10)=slsdtgt0(sz10)), inference(start_rule)). 592.65/108.20 cnf(i_0_7219594, plain, (slsdtgt0(sz10)=slsdtgt0(sz10)), inference(extension_rule, [i_0_7219212])). 592.65/108.20 cnf(i_0_7219950, plain, (aSet0(slsdtgt0(sz10))), inference(extension_rule, [i_0_9])). 592.65/108.20 cnf(i_0_7220018, plain, (~aSet0(slsdtgt0(sz10))), inference(closure_rule, [i_0_7219950])). 592.65/108.20 cnf(i_0_7220016, plain, (aSet0(sdtpldt1(slsdtgt0(sz10),slsdtgt0(sz10)))), inference(extension_rule, [i_0_16])). 592.65/108.20 cnf(i_0_7220095, plain, (~aSet0(sdtpldt1(slsdtgt0(sz10),slsdtgt0(sz10)))), inference(closure_rule, [i_0_7220016])). 592.65/108.20 cnf(i_0_7219952, plain, (~aSet0(slsdtgt0(sz10))), inference(extension_rule, [i_0_47])). 592.65/108.20 cnf(i_0_7220639, plain, (~aElement0(sz10)), inference(closure_rule, [i_0_67])). 592.65/108.20 cnf(i_0_7220093, plain, (aSet0(sdtasasdt0(sdtpldt1(slsdtgt0(sz10),slsdtgt0(sz10)),sdtpldt1(slsdtgt0(sz10),slsdtgt0(sz10))))), inference(etableau_closure_rule, [i_0_7220093, ...])). 592.65/108.20 # End printing tableau 592.65/108.20 # SZS output end 592.65/108.20 # Branches closed with saturation will be marked with an "s" 593.53/108.32 # There were 14 total branch saturation attempts. 593.53/108.32 # There were 5 of these attempts blocked. 593.53/108.32 # There were 0 deferred branch saturation attempts. 593.53/108.32 # There were 4 free duplicated saturations. 593.53/108.32 # There were 7 total successful branch saturations. 593.53/108.32 # There were 0 successful branch saturations in interreduction. 593.53/108.32 # There were 0 successful branch saturations on the branch. 593.53/108.32 # There were 3 successful branch saturations after the branch. 593.53/108.32 # SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p 593.53/108.32 # SZS output start for /export/starexec/sandbox2/benchmark/theBenchmark.p 593.53/108.32 # Begin clausification derivation 593.53/108.32 593.53/108.32 # End clausification derivation 593.53/108.32 # Begin listing active clauses obtained from FOF to CNF conversion 593.53/108.32 cnf(i_0_87, hypothesis, (sdtasdt0(xc,xv)=xy)). 593.53/108.32 cnf(i_0_61, hypothesis, (sdtasdt0(xc,xu)=xx)). 593.53/108.32 cnf(i_0_69, hypothesis, (sdtasdt0(xc,esk20_0)=xx)). 593.53/108.32 cnf(i_0_67, plain, (aElement0(sz10))). 593.53/108.32 cnf(i_0_62, hypothesis, (aElement0(xu))). 593.53/108.32 cnf(i_0_54, plain, (aElement0(sz00))). 593.53/108.32 cnf(i_0_90, hypothesis, (aElement0(xc))). 593.53/108.32 cnf(i_0_73, hypothesis, (aElement0(xz))). 593.53/108.32 cnf(i_0_86, hypothesis, (aElement0(xv))). 593.53/108.32 cnf(i_0_71, hypothesis, (sdtasdt0(xc,esk19_0)=xy)). 593.53/108.32 cnf(i_0_72, hypothesis, (aElement0(esk19_0))). 593.53/108.32 cnf(i_0_68, hypothesis, (aElement0(esk20_0))). 593.53/108.32 cnf(i_0_70, hypothesis, (aElementOf0(xx,slsdtgt0(xc)))). 593.53/108.32 cnf(i_0_74, hypothesis, (aElementOf0(xy,slsdtgt0(xc)))). 593.53/108.32 cnf(i_0_65, plain, (sz10!=sz00)). 593.53/108.32 cnf(i_0_95, negated_conjecture, (sdtasdt0(xc,sdtpldt0(xu,xv))!=sdtpldt0(xx,xy))). 593.53/108.32 cnf(i_0_24, plain, (aSet0(X1)|~aIdeal0(X1))). 593.53/108.32 cnf(i_0_88, plain, (sdtasdt0(sz00,X1)=sz00|~aElement0(X1))). 593.53/108.32 cnf(i_0_32, plain, (aElement0(X1)|~aDivisorOf0(X1,X2)|~aElement0(X2))). 593.53/108.32 cnf(i_0_63, plain, (aElement0(X1)|~aElementOf0(X1,X2)|~aSet0(X2))). 593.53/108.32 cnf(i_0_55, plain, (aElement0(smndt0(X1))|~aElement0(X1))). 593.53/108.32 cnf(i_0_89, plain, (sdtasdt0(X1,sz00)=sz00|~aElement0(X1))). 593.53/108.32 cnf(i_0_81, plain, (sdtpldt0(X1,sz00)=X1|~aElement0(X1))). 593.53/108.32 cnf(i_0_82, plain, (sdtpldt0(sz00,X1)=X1|~aElement0(X1))). 593.53/108.32 cnf(i_0_97, plain, (sdtasdt0(sz10,X1)=X1|~aElement0(X1))). 593.53/108.32 cnf(i_0_96, plain, (sdtasdt0(X1,sz10)=X1|~aElement0(X1))). 593.53/108.32 cnf(i_0_47, plain, (aSet0(slsdtgt0(X1))|~aElement0(X1))). 593.53/108.32 cnf(i_0_78, plain, (sdtpldt0(X1,smndt0(X1))=sz00|~aElement0(X1))). 593.53/108.32 cnf(i_0_31, plain, (doDivides0(X1,X2)|~aDivisorOf0(X1,X2)|~aElement0(X2))). 593.53/108.32 cnf(i_0_30, plain, (aDivisorOf0(X1,X2)|~doDivides0(X1,X2)|~aElement0(X2)|~aElement0(X1))). 593.53/108.32 cnf(i_0_37, plain, (aDivisorOf0(X1,X2)|~aGcdOfAnd0(X1,X3,X2)|~aElement0(X3)|~aElement0(X2))). 593.53/108.32 cnf(i_0_38, plain, (aDivisorOf0(X1,X2)|~aGcdOfAnd0(X1,X2,X3)|~aElement0(X3)|~aElement0(X2))). 593.53/108.32 cnf(i_0_79, plain, (sdtpldt0(smndt0(X1),X1)=sz00|~aElement0(X1))). 593.53/108.32 cnf(i_0_76, plain, (sdtasdt0(X1,smndt0(sz10))=smndt0(X1)|~aElement0(X1))). 593.53/108.32 cnf(i_0_77, plain, (sdtasdt0(smndt0(sz10),X1)=smndt0(X1)|~aElement0(X1))). 593.53/108.32 cnf(i_0_84, plain, (aElement0(sdtpldt0(X1,X2))|~aElement0(X2)|~aElement0(X1))). 593.53/108.32 cnf(i_0_64, plain, (aElement0(sdtasdt0(X1,X2))|~aElement0(X2)|~aElement0(X1))). 593.53/108.32 cnf(i_0_104, plain, (X1=sz00|aNaturalNumber0(sbrdtbr0(X1))|~aElement0(X1))). 593.53/108.32 cnf(i_0_21, plain, (aIdeal0(X1)|aElementOf0(esk7_1(X1),X1)|~aSet0(X1))). 593.53/108.32 cnf(i_0_48, plain, (aIdeal0(sdtpldt1(X1,X2))|~aIdeal0(X1)|~aIdeal0(X2))). 593.53/108.32 cnf(i_0_66, plain, (aIdeal0(sdtasasdt0(X1,X2))|~aIdeal0(X1)|~aIdeal0(X2))). 593.53/108.32 cnf(i_0_40, plain, (aGcdOfAnd0(sz10,X1,X2)|~misRelativelyPrime0(X1,X2)|~aElement0(X2)|~aElement0(X1))). 593.53/108.32 cnf(i_0_9, plain, (aSet0(sdtpldt1(X1,X2))|~aSet0(X2)|~aSet0(X1))). 593.53/108.32 cnf(i_0_105, plain, (sdtpldt0(X1,X2)=sdtpldt0(X2,X1)|~aElement0(X2)|~aElement0(X1))). 593.53/108.32 cnf(i_0_94, plain, (sdtasdt0(X1,X2)=sdtasdt0(X2,X1)|~aElement0(X2)|~aElement0(X1))). 593.53/108.32 cnf(i_0_85, plain, (sz00=X1|X2=sz00|sdtasdt0(X1,X2)!=sz00|~aElement0(X1)|~aElement0(X2))). 593.53/108.32 cnf(i_0_16, plain, (aSet0(sdtasasdt0(X1,X2))|~aSet0(X2)|~aSet0(X1))). 593.53/108.32 cnf(i_0_60, plain, (X1=sz00|aElement0(esk17_2(X2,X1))|~aElement0(X1)|~aElement0(X2))). 593.53/108.32 cnf(i_0_39, plain, (misRelativelyPrime0(X1,X2)|~aGcdOfAnd0(sz10,X1,X2)|~aElement0(X2)|~aElement0(X1))). 593.53/108.32 cnf(i_0_29, plain, (aElement0(esk10_2(X1,X2))|~doDivides0(X1,X2)|~aElement0(X2)|~aElement0(X1))). 593.53/108.32 cnf(i_0_59, plain, (X1=sz00|aElement0(esk18_2(X2,X1))|~aElement0(X1)|~aElement0(X2))). 593.53/108.32 cnf(i_0_20, plain, (aElement0(esk9_1(X1))|aIdeal0(X1)|aElementOf0(esk8_1(X1),X1)|~aSet0(X1))). 593.53/108.32 cnf(i_0_22, plain, (aElementOf0(sdtasdt0(X1,X2),X3)|~aElement0(X1)|~aIdeal0(X3)|~aElementOf0(X2,X3))). 593.53/108.32 cnf(i_0_28, plain, (sdtasdt0(X1,esk10_2(X1,X2))=X2|~doDivides0(X1,X2)|~aElement0(X2)|~aElement0(X1))). 593.53/108.32 cnf(i_0_27, plain, (doDivides0(X1,sdtasdt0(X1,X2))|~aElement0(X1)|~aElement0(X2))). 593.53/108.32 cnf(i_0_53, plain, (sdtpldt0(sdtpldt0(X1,X2),X3)=sdtpldt0(X1,sdtpldt0(X2,X3))|~aElement0(X3)|~aElement0(X2)|~aElement0(X1))). 593.53/108.32 cnf(i_0_44, plain, (aElementOf0(sdtasdt0(X1,X2),slsdtgt0(X1))|~aElement0(X1)|~aElement0(X2))). 593.53/108.32 cnf(i_0_23, plain, (aElementOf0(sdtpldt0(X1,X2),X3)|~aIdeal0(X3)|~aElementOf0(X1,X3)|~aElementOf0(X2,X3))). 593.53/108.32 cnf(i_0_25, plain, (sdteqdtlpzmzozddtrp0(X1,X2,X3)|~aElement0(X2)|~aElement0(X1)|~aIdeal0(X3)|~aElementOf0(sdtpldt0(X1,smndt0(X2)),X3))). 593.53/108.32 cnf(i_0_49, plain, (X1=X2|~aElementOf0(esk15_2(X1,X2),X1)|~aElementOf0(esk16_2(X1,X2),X2)|~aSet0(X2)|~aSet0(X1))). 593.53/108.32 cnf(i_0_46, plain, (aElement0(esk12_3(X1,slsdtgt0(X1),X2))|~aElement0(X1)|~aElementOf0(X2,slsdtgt0(X1)))). 593.53/108.32 cnf(i_0_83, plain, (sdtasdt0(sdtasdt0(X1,X2),X3)=sdtasdt0(X1,sdtasdt0(X2,X3))|~aElement0(X3)|~aElement0(X2)|~aElement0(X1))). 593.53/108.32 cnf(i_0_18, plain, (aElement0(esk9_1(X1))|aIdeal0(X1)|~aElementOf0(sdtpldt0(esk7_1(X1),esk8_1(X1)),X1)|~aSet0(X1))). 593.53/108.32 cnf(i_0_92, plain, (sdtpldt0(sdtasdt0(X1,X2),sdtasdt0(X3,X2))=sdtasdt0(sdtpldt0(X1,X3),X2)|~aElement0(X2)|~aElement0(X3)|~aElement0(X1))). 593.53/108.32 cnf(i_0_45, plain, (sdtasdt0(X1,esk12_3(X1,slsdtgt0(X1),X2))=X2|~aElement0(X1)|~aElementOf0(X2,slsdtgt0(X1)))). 593.53/108.32 cnf(i_0_91, plain, (sdtpldt0(sdtasdt0(X1,X2),sdtasdt0(X1,X3))=sdtasdt0(X1,sdtpldt0(X2,X3))|~aElement0(X3)|~aElement0(X2)|~aElement0(X1))). 593.53/108.32 cnf(i_0_14, plain, (aElementOf0(X1,X2)|~aElementOf0(X1,sdtasasdt0(X3,X2))|~aSet0(X3)|~aSet0(X2))). 593.53/108.32 cnf(i_0_15, plain, (aElementOf0(X1,X2)|~aElementOf0(X1,sdtasasdt0(X2,X3))|~aSet0(X3)|~aSet0(X2))). 593.53/108.32 cnf(i_0_58, plain, (sdtpldt0(sdtasdt0(esk17_2(X1,X2),X2),esk18_2(X1,X2))=X1|X2=sz00|~aElement0(X2)|~aElement0(X1))). 593.53/108.32 cnf(i_0_17, plain, (aIdeal0(X1)|~aElementOf0(sdtpldt0(esk7_1(X1),esk8_1(X1)),X1)|~aElementOf0(sdtasdt0(esk9_1(X1),esk7_1(X1)),X1)|~aSet0(X1))). 593.53/108.32 cnf(i_0_19, plain, (aIdeal0(X1)|aElementOf0(esk8_1(X1),X1)|~aElementOf0(sdtasdt0(esk9_1(X1),esk7_1(X1)),X1)|~aSet0(X1))). 593.53/108.32 cnf(i_0_51, plain, (X1=X2|aElementOf0(esk15_2(X1,X2),X2)|~aElementOf0(esk16_2(X1,X2),X2)|~aSet0(X2)|~aSet0(X1))). 593.53/108.32 cnf(i_0_26, plain, (aElementOf0(sdtpldt0(X1,smndt0(X2)),X3)|~sdteqdtlpzmzozddtrp0(X1,X2,X3)|~aElement0(X2)|~aElement0(X1)|~aIdeal0(X3))). 593.53/108.32 cnf(i_0_42, plain, (X1=slsdtgt0(X2)|aElement0(esk14_2(X2,X1))|aElementOf0(esk13_2(X2,X1),X1)|~aElement0(X2)|~aSet0(X1))). 593.53/108.32 cnf(i_0_50, plain, (X1=X2|aElementOf0(esk16_2(X1,X2),X1)|~aElementOf0(esk15_2(X1,X2),X1)|~aSet0(X2)|~aSet0(X1))). 593.53/108.32 cnf(i_0_33, plain, (aGcdOfAnd0(X1,X2,X3)|~aDivisorOf0(X1,X3)|~aDivisorOf0(X1,X2)|~doDivides0(esk11_3(X2,X3,X1),X1)|~aElement0(X3)|~aElement0(X2))). 593.53/108.32 cnf(i_0_36, plain, (doDivides0(X1,X2)|~aGcdOfAnd0(X2,X3,X4)|~aDivisorOf0(X1,X4)|~aDivisorOf0(X1,X3)|~aElement0(X4)|~aElement0(X3))). 593.53/108.32 cnf(i_0_13, plain, (aElementOf0(X1,sdtasasdt0(X2,X3))|~aElementOf0(X1,X3)|~aElementOf0(X1,X2)|~aSet0(X3)|~aSet0(X2))). 593.53/108.32 cnf(i_0_57, plain, (esk18_2(X1,X2)=sz00|X2=sz00|iLess0(sbrdtbr0(esk18_2(X1,X2)),sbrdtbr0(X2))|~aElement0(X2)|~aElement0(X1))). 593.53/108.32 cnf(i_0_43, plain, (X1=slsdtgt0(X2)|esk13_2(X2,X1)!=sdtasdt0(X2,X3)|~aElement0(X3)|~aElement0(X2)|~aElementOf0(esk13_2(X2,X1),X1)|~aSet0(X1))). 593.53/108.32 cnf(i_0_103, plain, (aElement0(esk22_4(X1,X2,X3,X4))|aElement0(esk21_2(X1,X2))|~aElement0(X4)|~aElement0(X3)|~aIdeal0(X2)|~aIdeal0(X1))). 593.53/108.32 cnf(i_0_8, plain, (aElementOf0(esk1_4(X1,X2,sdtpldt1(X1,X2),X3),X1)|~aElementOf0(X3,sdtpldt1(X1,X2))|~aSet0(X2)|~aSet0(X1))). 593.53/108.32 cnf(i_0_52, plain, (X1=X2|aElementOf0(esk16_2(X1,X2),X1)|aElementOf0(esk15_2(X1,X2),X2)|~aSet0(X2)|~aSet0(X1))). 593.53/108.32 cnf(i_0_5, plain, (aElementOf0(sdtpldt0(X1,X2),sdtpldt1(X3,X4))|~aElementOf0(X2,X4)|~aElementOf0(X1,X3)|~aSet0(X4)|~aSet0(X3))). 593.53/108.32 cnf(i_0_34, plain, (aGcdOfAnd0(X1,X2,X3)|aDivisorOf0(esk11_3(X2,X3,X1),X3)|~aDivisorOf0(X1,X3)|~aDivisorOf0(X1,X2)|~aElement0(X3)|~aElement0(X2))). 593.53/108.32 cnf(i_0_35, plain, (aGcdOfAnd0(X1,X2,X3)|aDivisorOf0(esk11_3(X2,X3,X1),X2)|~aDivisorOf0(X1,X3)|~aDivisorOf0(X1,X2)|~aElement0(X3)|~aElement0(X2))). 593.53/108.32 cnf(i_0_7, plain, (aElementOf0(esk2_4(X1,X2,sdtpldt1(X1,X2),X3),X2)|~aElementOf0(X3,sdtpldt1(X1,X2))|~aSet0(X2)|~aSet0(X1))). 593.53/108.32 cnf(i_0_41, plain, (sdtasdt0(X1,esk14_2(X1,X2))=esk13_2(X1,X2)|X2=slsdtgt0(X1)|aElementOf0(esk13_2(X1,X2),X2)|~aElement0(X1)|~aSet0(X2))). 593.53/108.32 cnf(i_0_101, plain, (sdteqdtlpzmzozddtrp0(esk22_4(X1,X2,X3,X4),X4,X2)|aElement0(esk21_2(X1,X2))|~aElement0(X4)|~aElement0(X3)|~aIdeal0(X2)|~aIdeal0(X1))). 593.53/108.32 cnf(i_0_102, plain, (sdteqdtlpzmzozddtrp0(esk22_4(X1,X2,X3,X4),X3,X1)|aElement0(esk21_2(X1,X2))|~aElement0(X4)|~aElement0(X3)|~aIdeal0(X2)|~aIdeal0(X1))). 593.53/108.32 cnf(i_0_100, plain, (aElement0(esk22_4(X1,X2,X3,X4))|~aElement0(X4)|~aElement0(X3)|~aIdeal0(X2)|~aIdeal0(X1)|~aElementOf0(esk21_2(X1,X2),sdtpldt1(X1,X2)))). 593.53/108.32 cnf(i_0_3, plain, (X1=sdtpldt1(X2,X3)|aElementOf0(esk4_3(X2,X3,X1),X2)|aElementOf0(esk3_3(X2,X3,X1),X1)|~aSet0(X1)|~aSet0(X3)|~aSet0(X2))). 593.53/108.32 cnf(i_0_12, plain, (X1=sdtasasdt0(X2,X3)|~aElementOf0(esk6_3(X2,X3,X1),X1)|~aElementOf0(esk6_3(X2,X3,X1),X3)|~aElementOf0(esk6_3(X2,X3,X1),X2)|~aSet0(X1)|~aSet0(X3)|~aSet0(X2))). 593.53/108.32 cnf(i_0_98, plain, (sdteqdtlpzmzozddtrp0(esk22_4(X1,X2,X3,X4),X4,X2)|~aElement0(X4)|~aElement0(X3)|~aIdeal0(X2)|~aIdeal0(X1)|~aElementOf0(esk21_2(X1,X2),sdtpldt1(X1,X2)))). 593.53/108.32 cnf(i_0_99, plain, (sdteqdtlpzmzozddtrp0(esk22_4(X1,X2,X3,X4),X3,X1)|~aElement0(X4)|~aElement0(X3)|~aIdeal0(X2)|~aIdeal0(X1)|~aElementOf0(esk21_2(X1,X2),sdtpldt1(X1,X2)))). 593.53/108.32 cnf(i_0_4, plain, (X1=sdtpldt1(X2,X3)|sdtpldt0(X4,X5)!=esk3_3(X2,X3,X1)|~aElementOf0(esk3_3(X2,X3,X1),X1)|~aElementOf0(X5,X3)|~aElementOf0(X4,X2)|~aSet0(X1)|~aSet0(X3)|~aSet0(X2))). 593.53/108.32 cnf(i_0_2, plain, (X1=sdtpldt1(X2,X3)|aElementOf0(esk5_3(X2,X3,X1),X3)|aElementOf0(esk3_3(X2,X3,X1),X1)|~aSet0(X1)|~aSet0(X3)|~aSet0(X2))). 593.53/108.32 cnf(i_0_10, plain, (X1=sdtasasdt0(X2,X3)|aElementOf0(esk6_3(X2,X3,X1),X3)|aElementOf0(esk6_3(X2,X3,X1),X1)|~aSet0(X1)|~aSet0(X3)|~aSet0(X2))). 593.53/108.32 cnf(i_0_11, plain, (X1=sdtasasdt0(X2,X3)|aElementOf0(esk6_3(X2,X3,X1),X2)|aElementOf0(esk6_3(X2,X3,X1),X1)|~aSet0(X1)|~aSet0(X3)|~aSet0(X2))). 593.53/108.32 cnf(i_0_6, plain, (sdtpldt0(esk1_4(X1,X2,sdtpldt1(X1,X2),X3),esk2_4(X1,X2,sdtpldt1(X1,X2),X3))=X3|~aElementOf0(X3,sdtpldt1(X1,X2))|~aSet0(X2)|~aSet0(X1))). 593.53/108.32 cnf(i_0_1, plain, (sdtpldt0(esk4_3(X1,X2,X3),esk5_3(X1,X2,X3))=esk3_3(X1,X2,X3)|X3=sdtpldt1(X1,X2)|aElementOf0(esk3_3(X1,X2,X3),X3)|~aSet0(X3)|~aSet0(X2)|~aSet0(X1))). 593.53/108.32 cnf(i_0_7219208, plain, (X112=X112)). 593.53/108.32 # End listing active clauses. There is an equivalent clause to each of these in the clausification! 593.53/108.32 # Begin printing tableau 593.53/108.32 # Found 9 steps 593.53/108.32 cnf(i_0_7219208, plain, (slsdtgt0(sz10)=slsdtgt0(sz10)), inference(start_rule)). 593.53/108.32 cnf(i_0_7219594, plain, (slsdtgt0(sz10)=slsdtgt0(sz10)), inference(extension_rule, [i_0_7219212])). 593.53/108.32 cnf(i_0_7219950, plain, (aSet0(slsdtgt0(sz10))), inference(extension_rule, [i_0_9])). 593.53/108.32 cnf(i_0_7220018, plain, (~aSet0(slsdtgt0(sz10))), inference(closure_rule, [i_0_7219950])). 593.53/108.32 cnf(i_0_7220016, plain, (aSet0(sdtpldt1(slsdtgt0(sz10),slsdtgt0(sz10)))), inference(extension_rule, [i_0_16])). 593.53/108.32 cnf(i_0_7220095, plain, (~aSet0(sdtpldt1(slsdtgt0(sz10),slsdtgt0(sz10)))), inference(closure_rule, [i_0_7220016])). 593.53/108.32 cnf(i_0_7219952, plain, (~aSet0(slsdtgt0(sz10))), inference(extension_rule, [i_0_47])). 593.53/108.32 cnf(i_0_7220639, plain, (~aElement0(sz10)), inference(closure_rule, [i_0_67])). 593.53/108.32 cnf(i_0_7220093, plain, (aSet0(sdtasasdt0(sdtpldt1(slsdtgt0(sz10),slsdtgt0(sz10)),sdtpldt1(slsdtgt0(sz10),slsdtgt0(sz10))))), inference(etableau_closure_rule, [i_0_7220093, ...])). 593.53/108.32 # End printing tableau 593.53/108.32 # SZS output end 593.53/108.32 # Branches closed with saturation will be marked with an "s" 595.02/108.51 # Child (16501) has found a proof. 595.02/108.51 595.02/108.51 # Proof search is over... 595.02/108.51 # Freeing feature tree 599.36/109.20 EOF