0.03/0.12 % Problem : theBenchmark.p : TPTP v0.0.0. Released v0.0.0. 0.03/0.13 % Command : java -jar /export/starexec/sandbox2/solver/bin/mcs_epr.jar %d %s 0.13/0.34 % Computer : n026.cluster.edu 0.13/0.34 % Model : x86_64 x86_64 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz 0.13/0.34 % Memory : 8042.1875MB 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64 0.13/0.34 % CPULimit : 960 0.13/0.34 % WCLimit : 120 0.13/0.34 % DateTime : Thu Jul 2 09:04:24 EDT 2020 0.13/0.34 % CPUTime : 0.21/0.49 openjdk version "1.8.0_171" 0.21/0.49 OpenJDK Runtime Environment (build 1.8.0_171-b10) 0.21/0.49 OpenJDK 64-Bit Server VM (build 25.171-b10, mixed mode) 0.21/0.50 file=/export/starexec/sandbox2/benchmark/theBenchmark.p 0.51/0.66 start to proof:theBenchmark.p 21.94/21.99 % Version : CSE_E---1.2 21.94/21.99 % Problem : theBenchmark.p 21.94/21.99 % Proof found! 21.94/21.99 % SZS status Theorem for theBenchmark.p 21.94/21.99 % SZS output start Proof 21.94/21.99 fof('T-subst-abs-2', conjecture, ![X18, X28, X1, X6, X19, X14, X30]:(vtcheck(X28,vsubst(X1,X6,vabs(X19,X14,veabs)),X30)<=(((~(visFreeVar(X19,X6))&vtcheck(vbind(X1,X18,X28),vabs(X19,X14,veabs),X30))&vtcheck(X28,X6,X18))&X1!=X19)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', 'T-subst-abs-2')). 21.94/21.99 fof('T-inv', axiom, ![X6, X18, X28]:(vtcheck(X28,X6,X18)=>(?[X1, X10, X29, X30]:((X6=vabs(X1,X29,X10)&X18=varrow(X29,X30))&vtcheck(vbind(X1,X29,X28),X10,X30))|?[X8, X10, X14]:((vtcheck(X28,X8,varrow(X14,X18))&vtcheck(X28,X10,X14))&vapp(X8,X10)=X6)|?[X1]:(vsomeType(X18)=vlookup(X1,X28)&X6=vvar(X1)))), file('/export/starexec/sandbox2/benchmark/Axioms/COM001+0.ax', 'T-inv')). 21.94/21.99 fof('DIFF-abs-app', axiom, ![X2, X21, X7, X16, X32]:vapp(X16,X32)!=vabs(X2,X21,X7), file('/export/starexec/sandbox2/benchmark/Axioms/COM001+0.ax', 'DIFF-abs-app')). 21.94/21.99 fof('DIFF-var-abs', axiom, ![X2, X17, X21, X7]:vabs(X17,X21,X7)!=vvar(X2), file('/export/starexec/sandbox2/benchmark/Axioms/COM001+0.ax', 'DIFF-var-abs')). 21.94/21.99 fof('EQ-abs', axiom, ![X2, X21, X7, X17, X23, X16]:((vabs(X17,X23,X16)=vabs(X2,X21,X7)=>((X23=X21&X17=X2)&X16=X7))&(((X16=X7&X2=X17)&X23=X21)=>vabs(X2,X21,X7)=vabs(X17,X23,X16))), file('/export/starexec/sandbox2/benchmark/Axioms/COM001+0.ax', 'EQ-abs')). 21.94/21.99 fof('T-Context-Swap', axiom, ![X19, X27, X1, X31, X28, X6, X18]:((X19!=X1&vtcheck(vbind(X1,X31,vbind(X19,X27,X28)),X6,X18))=>vtcheck(vbind(X19,X27,vbind(X1,X31,X28)),X6,X18)), file('/export/starexec/sandbox2/benchmark/Axioms/COM001+0.ax', 'T-Context-Swap')). 21.94/21.99 fof('T-abs', axiom, ![X28, X1, X6, X14, X18]:(vtcheck(X28,vabs(X1,X14,X6),varrow(X14,X18))<=vtcheck(vbind(X1,X14,X28),X6,X18)), file('/export/starexec/sandbox2/benchmark/Axioms/COM001+0.ax', 'T-abs')). 21.94/21.99 fof('T-subst-IH-abs', axiom, ![X18, X28, X1, X6, X30]:(vtcheck(X28,vsubst(X1,X6,veabs),X30)<=(vtcheck(X28,X6,X18)&vtcheck(vbind(X1,X18,X28),veabs,X30))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', 'T-subst-IH-abs')). 21.94/21.99 fof('T-Weak-FreeVar', axiom, ![X1, X14, X28, X6, X18]:(vtcheck(vbind(X1,X14,X28),X6,X18)<=(~(visFreeVar(X1,X6))&vtcheck(X28,X6,X18))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', 'T-Weak-FreeVar')). 21.94/21.99 fof(subst5, axiom, ![X2, X7, X16, X4, X19, X18, X1, X6, X8]:(((X4=vabs(X19,X18,vsubst(X1,X6,X8))<=X4=vsubst(X2,X7,X16))<=(~(visFreeVar(X19,X6))&X1!=X19))<=((X16=vabs(X19,X18,X8)&X6=X7)&X1=X2)), file('/export/starexec/sandbox2/benchmark/Axioms/COM001+0.ax', subst5)). 21.94/21.99 fof(c_0_10, negated_conjecture, ~(![X18, X28, X1, X6, X19, X14, X30]:(vtcheck(X28,vsubst(X1,X6,vabs(X19,X14,veabs)),X30)<=(((~(visFreeVar(X19,X6))&vtcheck(vbind(X1,X18,X28),vabs(X19,X14,veabs),X30))&vtcheck(X28,X6,X18))&X1!=X19))), inference(assume_negation,[status(cth)],['T-subst-abs-2'])). 21.94/21.99 fof(c_0_11, plain, ![X154, X155, X156]:((((((vsomeType(X155)=vlookup(esk36_3(X154,X155,X156),X156)|(vtcheck(X156,esk33_3(X154,X155,X156),varrow(esk35_3(X154,X155,X156),X155))|X154=vabs(esk29_3(X154,X155,X156),esk31_3(X154,X155,X156),esk30_3(X154,X155,X156)))|~vtcheck(X156,X154,X155))&(X154=vvar(esk36_3(X154,X155,X156))|(vtcheck(X156,esk33_3(X154,X155,X156),varrow(esk35_3(X154,X155,X156),X155))|X154=vabs(esk29_3(X154,X155,X156),esk31_3(X154,X155,X156),esk30_3(X154,X155,X156)))|~vtcheck(X156,X154,X155)))&((vsomeType(X155)=vlookup(esk36_3(X154,X155,X156),X156)|(vtcheck(X156,esk34_3(X154,X155,X156),esk35_3(X154,X155,X156))|X154=vabs(esk29_3(X154,X155,X156),esk31_3(X154,X155,X156),esk30_3(X154,X155,X156)))|~vtcheck(X156,X154,X155))&(X154=vvar(esk36_3(X154,X155,X156))|(vtcheck(X156,esk34_3(X154,X155,X156),esk35_3(X154,X155,X156))|X154=vabs(esk29_3(X154,X155,X156),esk31_3(X154,X155,X156),esk30_3(X154,X155,X156)))|~vtcheck(X156,X154,X155))))&((vsomeType(X155)=vlookup(esk36_3(X154,X155,X156),X156)|(vapp(esk33_3(X154,X155,X156),esk34_3(X154,X155,X156))=X154|X154=vabs(esk29_3(X154,X155,X156),esk31_3(X154,X155,X156),esk30_3(X154,X155,X156)))|~vtcheck(X156,X154,X155))&(X154=vvar(esk36_3(X154,X155,X156))|(vapp(esk33_3(X154,X155,X156),esk34_3(X154,X155,X156))=X154|X154=vabs(esk29_3(X154,X155,X156),esk31_3(X154,X155,X156),esk30_3(X154,X155,X156)))|~vtcheck(X156,X154,X155))))&((((vsomeType(X155)=vlookup(esk36_3(X154,X155,X156),X156)|(vtcheck(X156,esk33_3(X154,X155,X156),varrow(esk35_3(X154,X155,X156),X155))|X155=varrow(esk31_3(X154,X155,X156),esk32_3(X154,X155,X156)))|~vtcheck(X156,X154,X155))&(X154=vvar(esk36_3(X154,X155,X156))|(vtcheck(X156,esk33_3(X154,X155,X156),varrow(esk35_3(X154,X155,X156),X155))|X155=varrow(esk31_3(X154,X155,X156),esk32_3(X154,X155,X156)))|~vtcheck(X156,X154,X155)))&((vsomeType(X155)=vlookup(esk36_3(X154,X155,X156),X156)|(vtcheck(X156,esk34_3(X154,X155,X156),esk35_3(X154,X155,X156))|X155=varrow(esk31_3(X154,X155,X156),esk32_3(X154,X155,X156)))|~vtcheck(X156,X154,X155))&(X154=vvar(esk36_3(X154,X155,X156))|(vtcheck(X156,esk34_3(X154,X155,X156),esk35_3(X154,X155,X156))|X155=varrow(esk31_3(X154,X155,X156),esk32_3(X154,X155,X156)))|~vtcheck(X156,X154,X155))))&((vsomeType(X155)=vlookup(esk36_3(X154,X155,X156),X156)|(vapp(esk33_3(X154,X155,X156),esk34_3(X154,X155,X156))=X154|X155=varrow(esk31_3(X154,X155,X156),esk32_3(X154,X155,X156)))|~vtcheck(X156,X154,X155))&(X154=vvar(esk36_3(X154,X155,X156))|(vapp(esk33_3(X154,X155,X156),esk34_3(X154,X155,X156))=X154|X155=varrow(esk31_3(X154,X155,X156),esk32_3(X154,X155,X156)))|~vtcheck(X156,X154,X155)))))&((((vsomeType(X155)=vlookup(esk36_3(X154,X155,X156),X156)|(vtcheck(X156,esk33_3(X154,X155,X156),varrow(esk35_3(X154,X155,X156),X155))|vtcheck(vbind(esk29_3(X154,X155,X156),esk31_3(X154,X155,X156),X156),esk30_3(X154,X155,X156),esk32_3(X154,X155,X156)))|~vtcheck(X156,X154,X155))&(X154=vvar(esk36_3(X154,X155,X156))|(vtcheck(X156,esk33_3(X154,X155,X156),varrow(esk35_3(X154,X155,X156),X155))|vtcheck(vbind(esk29_3(X154,X155,X156),esk31_3(X154,X155,X156),X156),esk30_3(X154,X155,X156),esk32_3(X154,X155,X156)))|~vtcheck(X156,X154,X155)))&((vsomeType(X155)=vlookup(esk36_3(X154,X155,X156),X156)|(vtcheck(X156,esk34_3(X154,X155,X156),esk35_3(X154,X155,X156))|vtcheck(vbind(esk29_3(X154,X155,X156),esk31_3(X154,X155,X156),X156),esk30_3(X154,X155,X156),esk32_3(X154,X155,X156)))|~vtcheck(X156,X154,X155))&(X154=vvar(esk36_3(X154,X155,X156))|(vtcheck(X156,esk34_3(X154,X155,X156),esk35_3(X154,X155,X156))|vtcheck(vbind(esk29_3(X154,X155,X156),esk31_3(X154,X155,X156),X156),esk30_3(X154,X155,X156),esk32_3(X154,X155,X156)))|~vtcheck(X156,X154,X155))))&((vsomeType(X155)=vlookup(esk36_3(X154,X155,X156),X156)|(vapp(esk33_3(X154,X155,X156),esk34_3(X154,X155,X156))=X154|vtcheck(vbind(esk29_3(X154,X155,X156),esk31_3(X154,X155,X156),X156),esk30_3(X154,X155,X156),esk32_3(X154,X155,X156)))|~vtcheck(X156,X154,X155))&(X154=vvar(esk36_3(X154,X155,X156))|(vapp(esk33_3(X154,X155,X156),esk34_3(X154,X155,X156))=X154|vtcheck(vbind(esk29_3(X154,X155,X156),esk31_3(X154,X155,X156),X156),esk30_3(X154,X155,X156),esk32_3(X154,X155,X156)))|~vtcheck(X156,X154,X155))))), inference(distribute,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(fof_nnf,[status(thm)],['T-inv'])])])])])). 21.94/21.99 fof(c_0_12, negated_conjecture, ((((~visFreeVar(esk79_0,esk78_0)&vtcheck(vbind(esk77_0,esk75_0,esk76_0),vabs(esk79_0,esk80_0,veabs),esk81_0))&vtcheck(esk76_0,esk78_0,esk75_0))&esk77_0!=esk79_0)&~vtcheck(esk76_0,vsubst(esk77_0,esk78_0,vabs(esk79_0,esk80_0,veabs)),esk81_0)), inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(fof_simplification,[status(thm)],[c_0_10])])])])). 21.94/21.99 fof(c_0_13, plain, ![X209, X210, X211, X212, X213]:vapp(X212,X213)!=vabs(X209,X210,X211), inference(variable_rename,[status(thm)],['DIFF-abs-app'])). 21.94/21.99 fof(c_0_14, plain, ![X100, X101, X102, X103]:vabs(X101,X102,X103)!=vvar(X100), inference(variable_rename,[status(thm)],['DIFF-var-abs'])). 21.94/21.99 fof(c_0_15, plain, ![X277, X278, X279, X280, X281, X282]:((((X281=X278|vabs(X280,X281,X282)!=vabs(X277,X278,X279))&(X280=X277|vabs(X280,X281,X282)!=vabs(X277,X278,X279)))&(X282=X279|vabs(X280,X281,X282)!=vabs(X277,X278,X279)))&(X282!=X279|X277!=X280|X281!=X278|vabs(X277,X278,X279)=vabs(X280,X281,X282))), inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],['EQ-abs'])])])). 21.94/21.99 cnf(c_0_16, plain, (X1=vvar(esk36_3(X1,X2,X3))|vapp(esk33_3(X1,X2,X3),esk34_3(X1,X2,X3))=X1|X1=vabs(esk29_3(X1,X2,X3),esk31_3(X1,X2,X3),esk30_3(X1,X2,X3))|~vtcheck(X3,X1,X2)), inference(split_conjunct,[status(thm)],[c_0_11])). 21.94/21.99 cnf(c_0_17, negated_conjecture, (vtcheck(vbind(esk77_0,esk75_0,esk76_0),vabs(esk79_0,esk80_0,veabs),esk81_0)), inference(split_conjunct,[status(thm)],[c_0_12])). 21.94/21.99 cnf(c_0_18, plain, (vapp(X1,X2)!=vabs(X3,X4,X5)), inference(split_conjunct,[status(thm)],[c_0_13])). 21.94/21.99 cnf(c_0_19, plain, (vabs(X1,X2,X3)!=vvar(X4)), inference(split_conjunct,[status(thm)],[c_0_14])). 21.94/21.99 cnf(c_0_20, plain, (X1=X2|vabs(X3,X4,X1)!=vabs(X5,X6,X2)), inference(split_conjunct,[status(thm)],[c_0_15])). 21.94/21.99 cnf(c_0_21, negated_conjecture, (vabs(esk29_3(vabs(esk79_0,esk80_0,veabs),esk81_0,vbind(esk77_0,esk75_0,esk76_0)),esk31_3(vabs(esk79_0,esk80_0,veabs),esk81_0,vbind(esk77_0,esk75_0,esk76_0)),esk30_3(vabs(esk79_0,esk80_0,veabs),esk81_0,vbind(esk77_0,esk75_0,esk76_0)))=vabs(esk79_0,esk80_0,veabs)), inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_16, c_0_17]), c_0_18]), c_0_19])). 21.94/21.99 cnf(c_0_22, negated_conjecture, (X1=esk30_3(vabs(esk79_0,esk80_0,veabs),esk81_0,vbind(esk77_0,esk75_0,esk76_0))|vabs(X2,X3,X1)!=vabs(esk79_0,esk80_0,veabs)), inference(spm,[status(thm)],[c_0_20, c_0_21])). 21.94/21.99 cnf(c_0_23, negated_conjecture, (esk30_3(vabs(esk79_0,esk80_0,veabs),esk81_0,vbind(esk77_0,esk75_0,esk76_0))=veabs), inference(er,[status(thm)],[c_0_22])). 21.94/21.99 cnf(c_0_24, plain, (X1=X2|vabs(X1,X3,X4)!=vabs(X2,X5,X6)), inference(split_conjunct,[status(thm)],[c_0_15])). 21.94/21.99 cnf(c_0_25, negated_conjecture, (vabs(esk29_3(vabs(esk79_0,esk80_0,veabs),esk81_0,vbind(esk77_0,esk75_0,esk76_0)),esk31_3(vabs(esk79_0,esk80_0,veabs),esk81_0,vbind(esk77_0,esk75_0,esk76_0)),veabs)=vabs(esk79_0,esk80_0,veabs)), inference(rw,[status(thm)],[c_0_21, c_0_23])). 21.94/21.99 cnf(c_0_26, negated_conjecture, (esk29_3(vabs(esk79_0,esk80_0,veabs),esk81_0,vbind(esk77_0,esk75_0,esk76_0))=X1|vabs(esk79_0,esk80_0,veabs)!=vabs(X1,X2,X3)), inference(spm,[status(thm)],[c_0_24, c_0_25])). 21.94/21.99 cnf(c_0_27, negated_conjecture, (esk29_3(vabs(esk79_0,esk80_0,veabs),esk81_0,vbind(esk77_0,esk75_0,esk76_0))=esk79_0), inference(er,[status(thm)],[c_0_26])). 21.94/21.99 cnf(c_0_28, plain, (X1=X2|vabs(X3,X1,X4)!=vabs(X5,X2,X6)), inference(split_conjunct,[status(thm)],[c_0_15])). 21.94/21.99 cnf(c_0_29, negated_conjecture, (vabs(esk79_0,esk31_3(vabs(esk79_0,esk80_0,veabs),esk81_0,vbind(esk77_0,esk75_0,esk76_0)),veabs)=vabs(esk79_0,esk80_0,veabs)), inference(rw,[status(thm)],[c_0_25, c_0_27])). 21.94/21.99 cnf(c_0_30, negated_conjecture, (X1=esk31_3(vabs(esk79_0,esk80_0,veabs),esk81_0,vbind(esk77_0,esk75_0,esk76_0))|vabs(X2,X1,X3)!=vabs(esk79_0,esk80_0,veabs)), inference(spm,[status(thm)],[c_0_28, c_0_29])). 21.94/21.99 cnf(c_0_31, plain, (X1=vvar(esk36_3(X1,X2,X3))|vapp(esk33_3(X1,X2,X3),esk34_3(X1,X2,X3))=X1|X2=varrow(esk31_3(X1,X2,X3),esk32_3(X1,X2,X3))|~vtcheck(X3,X1,X2)), inference(split_conjunct,[status(thm)],[c_0_11])). 21.94/21.99 fof(c_0_32, plain, ![X182, X183, X184, X185, X186, X187, X188]:(X182=X184|~vtcheck(vbind(X184,X185,vbind(X182,X183,X186)),X187,X188)|vtcheck(vbind(X182,X183,vbind(X184,X185,X186)),X187,X188)), inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],['T-Context-Swap'])])). 21.94/21.99 cnf(c_0_33, plain, (X1=vvar(esk36_3(X1,X2,X3))|vapp(esk33_3(X1,X2,X3),esk34_3(X1,X2,X3))=X1|vtcheck(vbind(esk29_3(X1,X2,X3),esk31_3(X1,X2,X3),X3),esk30_3(X1,X2,X3),esk32_3(X1,X2,X3))|~vtcheck(X3,X1,X2)), inference(split_conjunct,[status(thm)],[c_0_11])). 21.94/21.99 cnf(c_0_34, negated_conjecture, (esk31_3(vabs(esk79_0,esk80_0,veabs),esk81_0,vbind(esk77_0,esk75_0,esk76_0))=esk80_0), inference(er,[status(thm)],[c_0_30])). 21.94/21.99 fof(c_0_35, plain, ![X177, X178, X179, X180, X181]:(~vtcheck(vbind(X178,X180,X177),X179,X181)|vtcheck(X177,vabs(X178,X180,X179),varrow(X180,X181))), inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(fof_simplification,[status(thm)],['T-abs'])])])). 21.94/21.99 cnf(c_0_36, negated_conjecture, (varrow(esk31_3(vabs(esk79_0,esk80_0,veabs),esk81_0,vbind(esk77_0,esk75_0,esk76_0)),esk32_3(vabs(esk79_0,esk80_0,veabs),esk81_0,vbind(esk77_0,esk75_0,esk76_0)))=esk81_0), inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_31, c_0_17]), c_0_18]), c_0_19])). 21.94/21.99 fof(c_0_37, plain, ![X342, X343, X344, X345, X346]:(~vtcheck(X343,X345,X342)|~vtcheck(vbind(X344,X342,X343),veabs,X346)|vtcheck(X343,vsubst(X344,X345,veabs),X346)), inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(fof_simplification,[status(thm)],['T-subst-IH-abs'])])])). 21.94/21.99 cnf(c_0_38, plain, (X1=X2|vtcheck(vbind(X1,X4,vbind(X2,X3,X5)),X6,X7)|~vtcheck(vbind(X2,X3,vbind(X1,X4,X5)),X6,X7)), inference(split_conjunct,[status(thm)],[c_0_32])). 21.94/21.99 cnf(c_0_39, negated_conjecture, (vtcheck(vbind(esk79_0,esk80_0,vbind(esk77_0,esk75_0,esk76_0)),veabs,esk32_3(vabs(esk79_0,esk80_0,veabs),esk81_0,vbind(esk77_0,esk75_0,esk76_0)))), inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_33, c_0_17]), c_0_27]), c_0_34]), c_0_23]), c_0_18]), c_0_19])). 21.94/21.99 cnf(c_0_40, negated_conjecture, (esk77_0!=esk79_0), inference(split_conjunct,[status(thm)],[c_0_12])). 21.94/21.99 cnf(c_0_41, plain, (vtcheck(X3,vabs(X1,X2,X4),varrow(X2,X5))|~vtcheck(vbind(X1,X2,X3),X4,X5)), inference(split_conjunct,[status(thm)],[c_0_35])). 21.94/21.99 cnf(c_0_42, negated_conjecture, (varrow(esk80_0,esk32_3(vabs(esk79_0,esk80_0,veabs),esk81_0,vbind(esk77_0,esk75_0,esk76_0)))=esk81_0), inference(rw,[status(thm)],[c_0_36, c_0_34])). 21.94/21.99 cnf(c_0_43, plain, (vtcheck(X1,vsubst(X4,X2,veabs),X5)|~vtcheck(X1,X2,X3)|~vtcheck(vbind(X4,X3,X1),veabs,X5)), inference(split_conjunct,[status(thm)],[c_0_37])). 21.94/21.99 cnf(c_0_44, negated_conjecture, (vtcheck(vbind(esk77_0,esk75_0,vbind(esk79_0,esk80_0,esk76_0)),veabs,esk32_3(vabs(esk79_0,esk80_0,veabs),esk81_0,vbind(esk77_0,esk75_0,esk76_0)))), inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_38, c_0_39]), c_0_40])). 21.94/21.99 fof(c_0_45, plain, ![X352, X353, X354, X355, X356]:(visFreeVar(X352,X355)|~vtcheck(X354,X355,X356)|vtcheck(vbind(X352,X353,X354),X355,X356)), inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(fof_simplification,[status(thm)],['T-Weak-FreeVar'])])])). 21.94/21.99 fof(c_0_46, plain, ![X261, X262, X263, X264, X265, X266, X267, X268, X269]:(X263!=vabs(X265,X266,X269)|X268!=X262|X267!=X261|(visFreeVar(X265,X268)|X267=X265|(X264!=vsubst(X261,X262,X263)|X264=vabs(X265,X266,vsubst(X267,X268,X269))))), inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(fof_simplification,[status(thm)],[subst5])])])). 21.94/21.99 cnf(c_0_47, negated_conjecture, (vtcheck(X1,vabs(X2,esk80_0,X3),esk81_0)|~vtcheck(vbind(X2,esk80_0,X1),X3,esk32_3(vabs(esk79_0,esk80_0,veabs),esk81_0,vbind(esk77_0,esk75_0,esk76_0)))), inference(spm,[status(thm)],[c_0_41, c_0_42])). 21.94/21.99 cnf(c_0_48, negated_conjecture, (vtcheck(vbind(esk79_0,esk80_0,esk76_0),vsubst(esk77_0,X1,veabs),esk32_3(vabs(esk79_0,esk80_0,veabs),esk81_0,vbind(esk77_0,esk75_0,esk76_0)))|~vtcheck(vbind(esk79_0,esk80_0,esk76_0),X1,esk75_0)), inference(spm,[status(thm)],[c_0_43, c_0_44])). 21.94/21.99 cnf(c_0_49, plain, (visFreeVar(X1,X2)|vtcheck(vbind(X1,X5,X3),X2,X4)|~vtcheck(X3,X2,X4)), inference(split_conjunct,[status(thm)],[c_0_45])). 21.94/21.99 cnf(c_0_50, negated_conjecture, (vtcheck(esk76_0,esk78_0,esk75_0)), inference(split_conjunct,[status(thm)],[c_0_12])). 21.94/21.99 cnf(c_0_51, plain, (visFreeVar(X2,X5)|X7=X2|X9=vabs(X2,X3,vsubst(X7,X5,X4))|X1!=vabs(X2,X3,X4)|X5!=X6|X7!=X8|X9!=vsubst(X8,X6,X1)), inference(split_conjunct,[status(thm)],[c_0_46])). 21.94/21.99 cnf(c_0_52, negated_conjecture, (vtcheck(esk76_0,vabs(esk79_0,esk80_0,vsubst(esk77_0,X1,veabs)),esk81_0)|~vtcheck(vbind(esk79_0,esk80_0,esk76_0),X1,esk75_0)), inference(spm,[status(thm)],[c_0_47, c_0_48])). 21.94/21.99 cnf(c_0_53, negated_conjecture, (vtcheck(vbind(X1,X2,esk76_0),esk78_0,esk75_0)|visFreeVar(X1,esk78_0)), inference(spm,[status(thm)],[c_0_49, c_0_50])). 21.94/21.99 cnf(c_0_54, negated_conjecture, (~visFreeVar(esk79_0,esk78_0)), inference(split_conjunct,[status(thm)],[c_0_12])). 21.94/21.99 cnf(c_0_55, plain, (vabs(X1,X2,vsubst(X3,X4,X5))=vsubst(X3,X4,vabs(X1,X2,X5))|X1=X3|visFreeVar(X1,X4)), inference(er,[status(thm)],[inference(er,[status(thm)],[inference(er,[status(thm)],[inference(er,[status(thm)],[c_0_51])])])])). 21.94/21.99 cnf(c_0_56, negated_conjecture, (vtcheck(esk76_0,vabs(esk79_0,esk80_0,vsubst(esk77_0,esk78_0,veabs)),esk81_0)), inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_52, c_0_53]), c_0_54])). 21.94/21.99 cnf(c_0_57, negated_conjecture, (vabs(esk79_0,X1,vsubst(X2,esk78_0,X3))=vsubst(X2,esk78_0,vabs(esk79_0,X1,X3))|esk79_0=X2), inference(spm,[status(thm)],[c_0_54, c_0_55])). 21.94/21.99 cnf(c_0_58, negated_conjecture, (~vtcheck(esk76_0,vsubst(esk77_0,esk78_0,vabs(esk79_0,esk80_0,veabs)),esk81_0)), inference(split_conjunct,[status(thm)],[c_0_12])). 21.94/21.99 cnf(c_0_59, negated_conjecture, ($false), inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_56, c_0_57]), c_0_58]), c_0_40]), ['proof']). 21.94/21.99 % SZS output end Proof 21.94/21.99 % User time : 21.042 s 21.94/21.99 % System time : 0.163 s 21.94/21.99 % Total time : 21.205 s 21.94/21.99 21.94/22.00 EOF