0.05/0.10 % Problem : theBenchmark.p : TPTP v0.0.0. Released v0.0.0. 0.05/0.10 % Command : java -jar /export/starexec/sandbox/solver/bin/mcs_scs.jar %d %s 0.09/0.30 % Computer : n024.cluster.edu 0.09/0.30 % Model : x86_64 x86_64 0.09/0.30 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz 0.09/0.30 % Memory : 8042.1875MB 0.09/0.30 % OS : Linux 3.10.0-693.el7.x86_64 0.09/0.30 % CPULimit : 960 0.09/0.30 % WCLimit : 120 0.09/0.30 % DateTime : Tue Aug 9 04:56:22 EDT 2022 0.09/0.30 % CPUTime : 0.15/0.39 openjdk version "1.8.0_171" 0.15/0.39 OpenJDK Runtime Environment (build 1.8.0_171-b10) 0.15/0.39 OpenJDK 64-Bit Server VM (build 25.171-b10, mixed mode) 0.15/0.40 file=/export/starexec/sandbox/benchmark/theBenchmark.p 0.42/0.63 start to proof: theBenchmark 0.58/0.77 % Version : CSE_E---1.4 0.58/0.77 % Problem : theBenchmark.p 0.58/0.77 % Proof found 0.58/0.77 % SZS status Theorem for theBenchmark.p 0.58/0.77 % SZS output start Proof 0.58/0.77 fof(reduce0, axiom, ![X1, X4, X7]:((vreduce(X4)=X7=>vnoExp=X7)<=vvar(X1)=X4), file('/export/starexec/sandbox/benchmark/Axioms/COM001+0.ax', reduce0)). 0.58/0.77 fof('reduce-INV', axiom, ![X4, X7]:(vreduce(X4)=X7=>(?[X1]:(X4=vvar(X1)&vnoExp=X7)|?[X2, X24, X1, X11, X10]:((((X4=vapp(vabs(X1,X2,X10),X11)&vreduce(X11)=X24)&~(visSomeExp(X24)))&X7=vsomeExp(vsubst(X1,X11,X10)))&visValue(X11))|?[X1, X2, X10, X24, X11]:((((X24=vreduce(X11)&~(visSomeExp(X24)))&~(visValue(X11)))&X7=vnoExp)&X4=vapp(vabs(X1,X2,X10),X11))|?[X11, X10, X18]:((((X4=vapp(X10,X11)&![X19, X20, X21]:vabs(X19,X20,X21)!=X10)&X18=vreduce(X10))&X7=vnoExp)&~(visSomeExp(X18)))|?[X10, X18, X11]:((((X4=vapp(X10,X11)&X7=vsomeExp(vapp(vgetSomeExp(X18),X11)))&visSomeExp(X18))&vreduce(X10)=X18)&![X19, X20, X21]:vabs(X19,X20,X21)!=X10)|?[X11, X1, X2, X10, X24]:(((X7=vsomeExp(vapp(vabs(X1,X2,X10),vgetSomeExp(X24)))&visSomeExp(X24))&X24=vreduce(X11))&X4=vapp(vabs(X1,X2,X10),X11))|?[X1, X2, X3]:(X4=vabs(X1,X2,X3)&vnoExp=X7))), file('/export/starexec/sandbox/benchmark/Axioms/COM001+0.ax', 'reduce-INV')). 0.58/0.77 fof('DIFF-var-app', axiom, ![X5, X4, X8]:vvar(X5)!=vapp(X4,X8), file('/export/starexec/sandbox/benchmark/Axioms/COM001+0.ax', 'DIFF-var-app')). 0.58/0.77 fof('DIFF-var-abs', axiom, ![X5, X16, X17, X4]:vvar(X5)!=vabs(X16,X17,X4), file('/export/starexec/sandbox/benchmark/Axioms/COM001+0.ax', 'DIFF-var-abs')). 0.58/0.77 fof('DIFF-noExp-someExp', axiom, ![X4]:vnoExp!=vsomeExp(X4), file('/export/starexec/sandbox/benchmark/Axioms/COM001+0.ax', 'DIFF-noExp-someExp')). 0.58/0.77 fof('EQ-var', axiom, ![X5, X16]:((X16=X5=>vvar(X5)=vvar(X16))&(vvar(X5)=vvar(X16)=>X16=X5)), file('/export/starexec/sandbox/benchmark/Axioms/COM001+0.ax', 'EQ-var')). 0.58/0.77 fof('T-Strong-var', conjecture, ![X1, X2, X22, X9, X12]:(vtcheck(X22,vvar(X9),X12)<=(vtcheck(vbind(X1,X2,X22),vvar(X9),X12)&~(visFreeVar(X1,vvar(X9))))), file('/export/starexec/sandbox/benchmark/theBenchmark.p', 'T-Strong-var')). 0.58/0.77 fof(lookup2, axiom, ![X29, X9, X5, X6, X7, X1, X22]:((vbind(X9,X29,X22)=X6&X1=X5)=>(X1!=X9=>(X7=vlookup(X5,X6)=>X7=vlookup(X1,X22)))), file('/export/starexec/sandbox/benchmark/Axioms/COM001+0.ax', lookup2)). 0.58/0.77 fof('T-inv', axiom, ![X3, X12, X22]:(vtcheck(X22,X3,X12)=>(?[X1]:(vsomeType(X12)=vlookup(X1,X22)&vvar(X1)=X3)|?[X10, X11, X2]:((vtcheck(X22,X10,varrow(X2,X12))&vtcheck(X22,X11,X2))&vapp(X10,X11)=X3)|?[X1, X11, X32, X33]:((X3=vabs(X1,X32,X11)&vtcheck(vbind(X1,X32,X22),X11,X33))&varrow(X32,X33)=X12))), file('/export/starexec/sandbox/benchmark/Axioms/COM001+0.ax', 'T-inv')). 0.58/0.77 fof(getSomeType0, axiom, ![X14, X7, X3]:(vsomeType(X3)=X14=>(X3=X7<=vgetSomeType(X14)=X7)), file('/export/starexec/sandbox/benchmark/Axioms/COM001+0.ax', getSomeType0)). 0.58/0.77 fof(isFreeVar0, axiom, ![X5, X4, X1, X23]:((X23=X5&X4=vvar(X1))=>((X1=X23=>visFreeVar(X5,X4))&(visFreeVar(X5,X4)=>X23=X1))), file('/export/starexec/sandbox/benchmark/Axioms/COM001+0.ax', isFreeVar0)). 0.58/0.77 fof('T-var', axiom, ![X22, X1, X12]:(vtcheck(X22,vvar(X1),X12)<=vsomeType(X12)=vlookup(X1,X22)), file('/export/starexec/sandbox/benchmark/Axioms/COM001+0.ax', 'T-var')). 0.58/0.77 fof(c_0_12, plain, ![X1, X4, X7]:(vvar(X1)=X4=>(vreduce(X4)=X7=>vnoExp=X7)), inference(fof_simplification,[status(thm)],[reduce0])). 0.58/0.77 fof(c_0_13, plain, ![X4, X7]:(epred4_2(X7,X4)<=>(?[X1]:(X4=vvar(X1)&vnoExp=X7)|?[X2, X24, X1, X11, X10]:((((X4=vapp(vabs(X1,X2,X10),X11)&vreduce(X11)=X24)&~visSomeExp(X24))&X7=vsomeExp(vsubst(X1,X11,X10)))&visValue(X11))|?[X1, X2, X10, X24, X11]:((((X24=vreduce(X11)&~visSomeExp(X24))&~visValue(X11))&X7=vnoExp)&X4=vapp(vabs(X1,X2,X10),X11))|?[X11, X10, X18]:((((X4=vapp(X10,X11)&![X19, X20, X21]:vabs(X19,X20,X21)!=X10)&X18=vreduce(X10))&X7=vnoExp)&~visSomeExp(X18))|?[X10, X18, X11]:((((X4=vapp(X10,X11)&X7=vsomeExp(vapp(vgetSomeExp(X18),X11)))&visSomeExp(X18))&vreduce(X10)=X18)&![X19, X20, X21]:vabs(X19,X20,X21)!=X10))), introduced(definition)). 0.58/0.77 fof(c_0_14, plain, ![X531, X532, X533]:(vvar(X531)!=X532|(vreduce(X532)!=X533|vnoExp=X533)), inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_12])])). 0.58/0.77 fof(c_0_15, plain, ![X4, X7]:(vreduce(X4)=X7=>(epred4_2(X7,X4)|?[X11, X1, X2, X10, X24]:(((X7=vsomeExp(vapp(vabs(X1,X2,X10),vgetSomeExp(X24)))&visSomeExp(X24))&X24=vreduce(X11))&X4=vapp(vabs(X1,X2,X10),X11))|?[X1, X2, X3]:(X4=vabs(X1,X2,X3)&vnoExp=X7))), inference(apply_def,[status(thm)],[inference(fof_simplification,[status(thm)],['reduce-INV']), c_0_13])). 0.58/0.77 cnf(c_0_16, plain, (vnoExp=X3|vvar(X1)!=X2|vreduce(X2)!=X3), inference(split_conjunct,[status(thm)],[c_0_14])). 0.58/0.77 fof(c_0_17, plain, ![X7, X4]:(epred3_2(X4,X7)<=>(?[X1]:(X4=vvar(X1)&vnoExp=X7)|?[X2, X24, X1, X11, X10]:((((X4=vapp(vabs(X1,X2,X10),X11)&vreduce(X11)=X24)&~visSomeExp(X24))&X7=vsomeExp(vsubst(X1,X11,X10)))&visValue(X11))|?[X1, X2, X10, X24, X11]:((((X24=vreduce(X11)&~visSomeExp(X24))&~visValue(X11))&X7=vnoExp)&X4=vapp(vabs(X1,X2,X10),X11)))), introduced(definition)). 0.58/0.77 fof(c_0_18, plain, ![X482, X483]:(((((X482=vabs(esk19_2(X482,X483),esk20_2(X482,X483),esk21_2(X482,X483))|(X483=vsomeExp(vapp(vabs(esk15_2(X482,X483),esk16_2(X482,X483),esk17_2(X482,X483)),vgetSomeExp(esk18_2(X482,X483))))|epred4_2(X483,X482))|vreduce(X482)!=X483)&(vnoExp=X483|(X483=vsomeExp(vapp(vabs(esk15_2(X482,X483),esk16_2(X482,X483),esk17_2(X482,X483)),vgetSomeExp(esk18_2(X482,X483))))|epred4_2(X483,X482))|vreduce(X482)!=X483))&((X482=vabs(esk19_2(X482,X483),esk20_2(X482,X483),esk21_2(X482,X483))|(visSomeExp(esk18_2(X482,X483))|epred4_2(X483,X482))|vreduce(X482)!=X483)&(vnoExp=X483|(visSomeExp(esk18_2(X482,X483))|epred4_2(X483,X482))|vreduce(X482)!=X483)))&((X482=vabs(esk19_2(X482,X483),esk20_2(X482,X483),esk21_2(X482,X483))|(esk18_2(X482,X483)=vreduce(esk14_2(X482,X483))|epred4_2(X483,X482))|vreduce(X482)!=X483)&(vnoExp=X483|(esk18_2(X482,X483)=vreduce(esk14_2(X482,X483))|epred4_2(X483,X482))|vreduce(X482)!=X483)))&((X482=vabs(esk19_2(X482,X483),esk20_2(X482,X483),esk21_2(X482,X483))|(X482=vapp(vabs(esk15_2(X482,X483),esk16_2(X482,X483),esk17_2(X482,X483)),esk14_2(X482,X483))|epred4_2(X483,X482))|vreduce(X482)!=X483)&(vnoExp=X483|(X482=vapp(vabs(esk15_2(X482,X483),esk16_2(X482,X483),esk17_2(X482,X483)),esk14_2(X482,X483))|epred4_2(X483,X482))|vreduce(X482)!=X483))), inference(distribute,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_15])])])])])). 0.58/0.77 cnf(c_0_19, plain, (vnoExp=X1|vreduce(vvar(X2))!=X1), inference(er,[status(thm)],[c_0_16])). 0.58/0.77 fof(c_0_20, plain, ![X541, X542, X543]:vvar(X541)!=vapp(X542,X543), inference(variable_rename,[status(thm)],['DIFF-var-app'])). 0.58/0.77 fof(c_0_21, plain, ![X378, X379, X380, X381]:vvar(X378)!=vabs(X379,X380,X381), inference(variable_rename,[status(thm)],['DIFF-var-abs'])). 0.58/0.77 fof(c_0_22, plain, ![X4, X7]:(epred4_2(X7,X4)=>(epred3_2(X4,X7)|?[X11, X10, X18]:((((X4=vapp(X10,X11)&![X19, X20, X21]:vabs(X19,X20,X21)!=X10)&X18=vreduce(X10))&X7=vnoExp)&~visSomeExp(X18))|?[X10, X18, X11]:((((X4=vapp(X10,X11)&X7=vsomeExp(vapp(vgetSomeExp(X18),X11)))&visSomeExp(X18))&vreduce(X10)=X18)&![X19, X20, X21]:vabs(X19,X20,X21)!=X10))), inference(apply_def,[status(thm)],[inference(split_equiv,[status(thm)],[c_0_13]), c_0_17])). 0.58/0.77 cnf(c_0_23, plain, (X1=vabs(esk19_2(X1,X2),esk20_2(X1,X2),esk21_2(X1,X2))|X1=vapp(vabs(esk15_2(X1,X2),esk16_2(X1,X2),esk17_2(X1,X2)),esk14_2(X1,X2))|epred4_2(X2,X1)|vreduce(X1)!=X2), inference(split_conjunct,[status(thm)],[c_0_18])). 0.58/0.77 cnf(c_0_24, plain, (vreduce(vvar(X1))=vnoExp), inference(er,[status(thm)],[c_0_19])). 0.58/0.77 cnf(c_0_25, plain, (vvar(X1)!=vapp(X2,X3)), inference(split_conjunct,[status(thm)],[c_0_20])). 0.58/0.77 cnf(c_0_26, plain, (vvar(X1)!=vabs(X2,X3,X4)), inference(split_conjunct,[status(thm)],[c_0_21])). 0.58/0.77 fof(c_0_27, plain, ![X7, X4]:(epred3_2(X4,X7)=>(?[X1]:(X4=vvar(X1)&vnoExp=X7)|?[X2, X24, X1, X11, X10]:((((X4=vapp(vabs(X1,X2,X10),X11)&vreduce(X11)=X24)&~visSomeExp(X24))&X7=vsomeExp(vsubst(X1,X11,X10)))&visValue(X11))|?[X1, X2, X10, X24, X11]:((((X24=vreduce(X11)&~visSomeExp(X24))&~visValue(X11))&X7=vnoExp)&X4=vapp(vabs(X1,X2,X10),X11)))), inference(split_equiv,[status(thm)],[c_0_17])). 0.58/0.77 fof(c_0_28, plain, ![X667, X668, X672, X673, X674, X678, X679, X680]:(((((((((X667=vapp(esk77_2(X667,X668),esk79_2(X667,X668))|(X667=vapp(esk75_2(X667,X668),esk74_2(X667,X668))|epred3_2(X667,X668))|~epred4_2(X668,X667))&(X668=vsomeExp(vapp(vgetSomeExp(esk78_2(X667,X668)),esk79_2(X667,X668)))|(X667=vapp(esk75_2(X667,X668),esk74_2(X667,X668))|epred3_2(X667,X668))|~epred4_2(X668,X667)))&(visSomeExp(esk78_2(X667,X668))|(X667=vapp(esk75_2(X667,X668),esk74_2(X667,X668))|epred3_2(X667,X668))|~epred4_2(X668,X667)))&(vreduce(esk77_2(X667,X668))=esk78_2(X667,X668)|(X667=vapp(esk75_2(X667,X668),esk74_2(X667,X668))|epred3_2(X667,X668))|~epred4_2(X668,X667)))&(vabs(X678,X679,X680)!=esk77_2(X667,X668)|(X667=vapp(esk75_2(X667,X668),esk74_2(X667,X668))|epred3_2(X667,X668))|~epred4_2(X668,X667)))&(((((X667=vapp(esk77_2(X667,X668),esk79_2(X667,X668))|(vabs(X672,X673,X674)!=esk75_2(X667,X668)|epred3_2(X667,X668))|~epred4_2(X668,X667))&(X668=vsomeExp(vapp(vgetSomeExp(esk78_2(X667,X668)),esk79_2(X667,X668)))|(vabs(X672,X673,X674)!=esk75_2(X667,X668)|epred3_2(X667,X668))|~epred4_2(X668,X667)))&(visSomeExp(esk78_2(X667,X668))|(vabs(X672,X673,X674)!=esk75_2(X667,X668)|epred3_2(X667,X668))|~epred4_2(X668,X667)))&(vreduce(esk77_2(X667,X668))=esk78_2(X667,X668)|(vabs(X672,X673,X674)!=esk75_2(X667,X668)|epred3_2(X667,X668))|~epred4_2(X668,X667)))&(vabs(X678,X679,X680)!=esk77_2(X667,X668)|(vabs(X672,X673,X674)!=esk75_2(X667,X668)|epred3_2(X667,X668))|~epred4_2(X668,X667))))&(((((X667=vapp(esk77_2(X667,X668),esk79_2(X667,X668))|(esk76_2(X667,X668)=vreduce(esk75_2(X667,X668))|epred3_2(X667,X668))|~epred4_2(X668,X667))&(X668=vsomeExp(vapp(vgetSomeExp(esk78_2(X667,X668)),esk79_2(X667,X668)))|(esk76_2(X667,X668)=vreduce(esk75_2(X667,X668))|epred3_2(X667,X668))|~epred4_2(X668,X667)))&(visSomeExp(esk78_2(X667,X668))|(esk76_2(X667,X668)=vreduce(esk75_2(X667,X668))|epred3_2(X667,X668))|~epred4_2(X668,X667)))&(vreduce(esk77_2(X667,X668))=esk78_2(X667,X668)|(esk76_2(X667,X668)=vreduce(esk75_2(X667,X668))|epred3_2(X667,X668))|~epred4_2(X668,X667)))&(vabs(X678,X679,X680)!=esk77_2(X667,X668)|(esk76_2(X667,X668)=vreduce(esk75_2(X667,X668))|epred3_2(X667,X668))|~epred4_2(X668,X667))))&(((((X667=vapp(esk77_2(X667,X668),esk79_2(X667,X668))|(X668=vnoExp|epred3_2(X667,X668))|~epred4_2(X668,X667))&(X668=vsomeExp(vapp(vgetSomeExp(esk78_2(X667,X668)),esk79_2(X667,X668)))|(X668=vnoExp|epred3_2(X667,X668))|~epred4_2(X668,X667)))&(visSomeExp(esk78_2(X667,X668))|(X668=vnoExp|epred3_2(X667,X668))|~epred4_2(X668,X667)))&(vreduce(esk77_2(X667,X668))=esk78_2(X667,X668)|(X668=vnoExp|epred3_2(X667,X668))|~epred4_2(X668,X667)))&(vabs(X678,X679,X680)!=esk77_2(X667,X668)|(X668=vnoExp|epred3_2(X667,X668))|~epred4_2(X668,X667))))&(((((X667=vapp(esk77_2(X667,X668),esk79_2(X667,X668))|(~visSomeExp(esk76_2(X667,X668))|epred3_2(X667,X668))|~epred4_2(X668,X667))&(X668=vsomeExp(vapp(vgetSomeExp(esk78_2(X667,X668)),esk79_2(X667,X668)))|(~visSomeExp(esk76_2(X667,X668))|epred3_2(X667,X668))|~epred4_2(X668,X667)))&(visSomeExp(esk78_2(X667,X668))|(~visSomeExp(esk76_2(X667,X668))|epred3_2(X667,X668))|~epred4_2(X668,X667)))&(vreduce(esk77_2(X667,X668))=esk78_2(X667,X668)|(~visSomeExp(esk76_2(X667,X668))|epred3_2(X667,X668))|~epred4_2(X668,X667)))&(vabs(X678,X679,X680)!=esk77_2(X667,X668)|(~visSomeExp(esk76_2(X667,X668))|epred3_2(X667,X668))|~epred4_2(X668,X667)))), inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_22])])])])])])). 0.58/0.77 cnf(c_0_29, plain, (epred4_2(X1,vvar(X2))|vnoExp!=X1), inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_23, c_0_24]), c_0_25]), c_0_26])). 0.58/0.77 fof(c_0_30, plain, ![X654, X655]:((((((((((esk72_2(X654,X655)=vreduce(esk73_2(X654,X655))|(X655=vapp(vabs(esk66_2(X654,X655),esk64_2(X654,X655),esk68_2(X654,X655)),esk67_2(X654,X655))|X655=vvar(esk63_2(X654,X655)))|~epred3_2(X655,X654))&(~visSomeExp(esk72_2(X654,X655))|(X655=vapp(vabs(esk66_2(X654,X655),esk64_2(X654,X655),esk68_2(X654,X655)),esk67_2(X654,X655))|X655=vvar(esk63_2(X654,X655)))|~epred3_2(X655,X654)))&(~visValue(esk73_2(X654,X655))|(X655=vapp(vabs(esk66_2(X654,X655),esk64_2(X654,X655),esk68_2(X654,X655)),esk67_2(X654,X655))|X655=vvar(esk63_2(X654,X655)))|~epred3_2(X655,X654)))&(X654=vnoExp|(X655=vapp(vabs(esk66_2(X654,X655),esk64_2(X654,X655),esk68_2(X654,X655)),esk67_2(X654,X655))|X655=vvar(esk63_2(X654,X655)))|~epred3_2(X655,X654)))&(X655=vapp(vabs(esk69_2(X654,X655),esk70_2(X654,X655),esk71_2(X654,X655)),esk73_2(X654,X655))|(X655=vapp(vabs(esk66_2(X654,X655),esk64_2(X654,X655),esk68_2(X654,X655)),esk67_2(X654,X655))|X655=vvar(esk63_2(X654,X655)))|~epred3_2(X655,X654)))&(((((esk72_2(X654,X655)=vreduce(esk73_2(X654,X655))|(vreduce(esk67_2(X654,X655))=esk65_2(X654,X655)|X655=vvar(esk63_2(X654,X655)))|~epred3_2(X655,X654))&(~visSomeExp(esk72_2(X654,X655))|(vreduce(esk67_2(X654,X655))=esk65_2(X654,X655)|X655=vvar(esk63_2(X654,X655)))|~epred3_2(X655,X654)))&(~visValue(esk73_2(X654,X655))|(vreduce(esk67_2(X654,X655))=esk65_2(X654,X655)|X655=vvar(esk63_2(X654,X655)))|~epred3_2(X655,X654)))&(X654=vnoExp|(vreduce(esk67_2(X654,X655))=esk65_2(X654,X655)|X655=vvar(esk63_2(X654,X655)))|~epred3_2(X655,X654)))&(X655=vapp(vabs(esk69_2(X654,X655),esk70_2(X654,X655),esk71_2(X654,X655)),esk73_2(X654,X655))|(vreduce(esk67_2(X654,X655))=esk65_2(X654,X655)|X655=vvar(esk63_2(X654,X655)))|~epred3_2(X655,X654))))&(((((esk72_2(X654,X655)=vreduce(esk73_2(X654,X655))|(~visSomeExp(esk65_2(X654,X655))|X655=vvar(esk63_2(X654,X655)))|~epred3_2(X655,X654))&(~visSomeExp(esk72_2(X654,X655))|(~visSomeExp(esk65_2(X654,X655))|X655=vvar(esk63_2(X654,X655)))|~epred3_2(X655,X654)))&(~visValue(esk73_2(X654,X655))|(~visSomeExp(esk65_2(X654,X655))|X655=vvar(esk63_2(X654,X655)))|~epred3_2(X655,X654)))&(X654=vnoExp|(~visSomeExp(esk65_2(X654,X655))|X655=vvar(esk63_2(X654,X655)))|~epred3_2(X655,X654)))&(X655=vapp(vabs(esk69_2(X654,X655),esk70_2(X654,X655),esk71_2(X654,X655)),esk73_2(X654,X655))|(~visSomeExp(esk65_2(X654,X655))|X655=vvar(esk63_2(X654,X655)))|~epred3_2(X655,X654))))&(((((esk72_2(X654,X655)=vreduce(esk73_2(X654,X655))|(X654=vsomeExp(vsubst(esk66_2(X654,X655),esk67_2(X654,X655),esk68_2(X654,X655)))|X655=vvar(esk63_2(X654,X655)))|~epred3_2(X655,X654))&(~visSomeExp(esk72_2(X654,X655))|(X654=vsomeExp(vsubst(esk66_2(X654,X655),esk67_2(X654,X655),esk68_2(X654,X655)))|X655=vvar(esk63_2(X654,X655)))|~epred3_2(X655,X654)))&(~visValue(esk73_2(X654,X655))|(X654=vsomeExp(vsubst(esk66_2(X654,X655),esk67_2(X654,X655),esk68_2(X654,X655)))|X655=vvar(esk63_2(X654,X655)))|~epred3_2(X655,X654)))&(X654=vnoExp|(X654=vsomeExp(vsubst(esk66_2(X654,X655),esk67_2(X654,X655),esk68_2(X654,X655)))|X655=vvar(esk63_2(X654,X655)))|~epred3_2(X655,X654)))&(X655=vapp(vabs(esk69_2(X654,X655),esk70_2(X654,X655),esk71_2(X654,X655)),esk73_2(X654,X655))|(X654=vsomeExp(vsubst(esk66_2(X654,X655),esk67_2(X654,X655),esk68_2(X654,X655)))|X655=vvar(esk63_2(X654,X655)))|~epred3_2(X655,X654))))&(((((esk72_2(X654,X655)=vreduce(esk73_2(X654,X655))|(visValue(esk67_2(X654,X655))|X655=vvar(esk63_2(X654,X655)))|~epred3_2(X655,X654))&(~visSomeExp(esk72_2(X654,X655))|(visValue(esk67_2(X654,X655))|X655=vvar(esk63_2(X654,X655)))|~epred3_2(X655,X654)))&(~visValue(esk73_2(X654,X655))|(visValue(esk67_2(X654,X655))|X655=vvar(esk63_2(X654,X655)))|~epred3_2(X655,X654)))&(X654=vnoExp|(visValue(esk67_2(X654,X655))|X655=vvar(esk63_2(X654,X655)))|~epred3_2(X655,X654)))&(X655=vapp(vabs(esk69_2(X654,X655),esk70_2(X654,X655),esk71_2(X654,X655)),esk73_2(X654,X655))|(visValue(esk67_2(X654,X655))|X655=vvar(esk63_2(X654,X655)))|~epred3_2(X655,X654))))&(((((((((esk72_2(X654,X655)=vreduce(esk73_2(X654,X655))|(X655=vapp(vabs(esk66_2(X654,X655),esk64_2(X654,X655),esk68_2(X654,X655)),esk67_2(X654,X655))|vnoExp=X654)|~epred3_2(X655,X654))&(~visSomeExp(esk72_2(X654,X655))|(X655=vapp(vabs(esk66_2(X654,X655),esk64_2(X654,X655),esk68_2(X654,X655)),esk67_2(X654,X655))|vnoExp=X654)|~epred3_2(X655,X654)))&(~visValue(esk73_2(X654,X655))|(X655=vapp(vabs(esk66_2(X654,X655),esk64_2(X654,X655),esk68_2(X654,X655)),esk67_2(X654,X655))|vnoExp=X654)|~epred3_2(X655,X654)))&(X654=vnoExp|(X655=vapp(vabs(esk66_2(X654,X655),esk64_2(X654,X655),esk68_2(X654,X655)),esk67_2(X654,X655))|vnoExp=X654)|~epred3_2(X655,X654)))&(X655=vapp(vabs(esk69_2(X654,X655),esk70_2(X654,X655),esk71_2(X654,X655)),esk73_2(X654,X655))|(X655=vapp(vabs(esk66_2(X654,X655),esk64_2(X654,X655),esk68_2(X654,X655)),esk67_2(X654,X655))|vnoExp=X654)|~epred3_2(X655,X654)))&(((((esk72_2(X654,X655)=vreduce(esk73_2(X654,X655))|(vreduce(esk67_2(X654,X655))=esk65_2(X654,X655)|vnoExp=X654)|~epred3_2(X655,X654))&(~visSomeExp(esk72_2(X654,X655))|(vreduce(esk67_2(X654,X655))=esk65_2(X654,X655)|vnoExp=X654)|~epred3_2(X655,X654)))&(~visValue(esk73_2(X654,X655))|(vreduce(esk67_2(X654,X655))=esk65_2(X654,X655)|vnoExp=X654)|~epred3_2(X655,X654)))&(X654=vnoExp|(vreduce(esk67_2(X654,X655))=esk65_2(X654,X655)|vnoExp=X654)|~epred3_2(X655,X654)))&(X655=vapp(vabs(esk69_2(X654,X655),esk70_2(X654,X655),esk71_2(X654,X655)),esk73_2(X654,X655))|(vreduce(esk67_2(X654,X655))=esk65_2(X654,X655)|vnoExp=X654)|~epred3_2(X655,X654))))&(((((esk72_2(X654,X655)=vreduce(esk73_2(X654,X655))|(~visSomeExp(esk65_2(X654,X655))|vnoExp=X654)|~epred3_2(X655,X654))&(~visSomeExp(esk72_2(X654,X655))|(~visSomeExp(esk65_2(X654,X655))|vnoExp=X654)|~epred3_2(X655,X654)))&(~visValue(esk73_2(X654,X655))|(~visSomeExp(esk65_2(X654,X655))|vnoExp=X654)|~epred3_2(X655,X654)))&(X654=vnoExp|(~visSomeExp(esk65_2(X654,X655))|vnoExp=X654)|~epred3_2(X655,X654)))&(X655=vapp(vabs(esk69_2(X654,X655),esk70_2(X654,X655),esk71_2(X654,X655)),esk73_2(X654,X655))|(~visSomeExp(esk65_2(X654,X655))|vnoExp=X654)|~epred3_2(X655,X654))))&(((((esk72_2(X654,X655)=vreduce(esk73_2(X654,X655))|(X654=vsomeExp(vsubst(esk66_2(X654,X655),esk67_2(X654,X655),esk68_2(X654,X655)))|vnoExp=X654)|~epred3_2(X655,X654))&(~visSomeExp(esk72_2(X654,X655))|(X654=vsomeExp(vsubst(esk66_2(X654,X655),esk67_2(X654,X655),esk68_2(X654,X655)))|vnoExp=X654)|~epred3_2(X655,X654)))&(~visValue(esk73_2(X654,X655))|(X654=vsomeExp(vsubst(esk66_2(X654,X655),esk67_2(X654,X655),esk68_2(X654,X655)))|vnoExp=X654)|~epred3_2(X655,X654)))&(X654=vnoExp|(X654=vsomeExp(vsubst(esk66_2(X654,X655),esk67_2(X654,X655),esk68_2(X654,X655)))|vnoExp=X654)|~epred3_2(X655,X654)))&(X655=vapp(vabs(esk69_2(X654,X655),esk70_2(X654,X655),esk71_2(X654,X655)),esk73_2(X654,X655))|(X654=vsomeExp(vsubst(esk66_2(X654,X655),esk67_2(X654,X655),esk68_2(X654,X655)))|vnoExp=X654)|~epred3_2(X655,X654))))&(((((esk72_2(X654,X655)=vreduce(esk73_2(X654,X655))|(visValue(esk67_2(X654,X655))|vnoExp=X654)|~epred3_2(X655,X654))&(~visSomeExp(esk72_2(X654,X655))|(visValue(esk67_2(X654,X655))|vnoExp=X654)|~epred3_2(X655,X654)))&(~visValue(esk73_2(X654,X655))|(visValue(esk67_2(X654,X655))|vnoExp=X654)|~epred3_2(X655,X654)))&(X654=vnoExp|(visValue(esk67_2(X654,X655))|vnoExp=X654)|~epred3_2(X655,X654)))&(X655=vapp(vabs(esk69_2(X654,X655),esk70_2(X654,X655),esk71_2(X654,X655)),esk73_2(X654,X655))|(visValue(esk67_2(X654,X655))|vnoExp=X654)|~epred3_2(X655,X654))))), inference(distribute,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_27])])])])])). 0.58/0.77 cnf(c_0_31, plain, (X1=vapp(esk77_2(X1,X2),esk79_2(X1,X2))|X1=vapp(esk75_2(X1,X2),esk74_2(X1,X2))|epred3_2(X1,X2)|~epred4_2(X2,X1)), inference(split_conjunct,[status(thm)],[c_0_28])). 0.58/0.77 cnf(c_0_32, plain, (epred4_2(vnoExp,vvar(X1))), inference(er,[status(thm)],[c_0_29])). 0.58/0.77 fof(c_0_33, plain, ![X544]:vnoExp!=vsomeExp(X544), inference(variable_rename,[status(thm)],['DIFF-noExp-someExp'])). 0.58/0.77 fof(c_0_34, plain, ![X510, X511]:((X511!=X510|vvar(X510)=vvar(X511))&(vvar(X510)!=vvar(X511)|X511=X510)), inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],['EQ-var'])])). 0.58/0.77 cnf(c_0_35, plain, (X1=vapp(vabs(esk69_2(X2,X1),esk70_2(X2,X1),esk71_2(X2,X1)),esk73_2(X2,X1))|X2=vsomeExp(vsubst(esk66_2(X2,X1),esk67_2(X2,X1),esk68_2(X2,X1)))|X1=vvar(esk63_2(X2,X1))|~epred3_2(X1,X2)), inference(split_conjunct,[status(thm)],[c_0_30])). 0.58/0.77 cnf(c_0_36, plain, (epred3_2(vvar(X1),vnoExp)), inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_31, c_0_32]), c_0_25]), c_0_25])). 0.58/0.77 cnf(c_0_37, plain, (vnoExp!=vsomeExp(X1)), inference(split_conjunct,[status(thm)],[c_0_33])). 0.58/0.77 fof(c_0_38, negated_conjecture, ~(![X1, X2, X22, X9, X12]:((vtcheck(vbind(X1,X2,X22),vvar(X9),X12)&~visFreeVar(X1,vvar(X9)))=>vtcheck(X22,vvar(X9),X12))), inference(fof_simplification,[status(thm)],[inference(assume_negation,[status(cth)],['T-Strong-var'])])). 0.58/0.77 fof(c_0_39, plain, ![X455, X456, X457, X458, X459, X460, X461]:(vbind(X456,X455,X461)!=X458|X460!=X457|(X460=X456|(X459!=vlookup(X457,X458)|X459=vlookup(X460,X461)))), inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[lookup2])])). 0.58/0.77 cnf(c_0_40, plain, (X2=X1|vvar(X1)!=vvar(X2)), inference(split_conjunct,[status(thm)],[c_0_34])). 0.58/0.77 cnf(c_0_41, plain, (vvar(esk63_2(vnoExp,vvar(X1)))=vvar(X1)), inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_35, c_0_36]), c_0_25]), c_0_37])). 0.58/0.77 fof(c_0_42, plain, ![X555, X556, X557]:((((((X555=vabs(esk26_3(X555,X556,X557),esk28_3(X555,X556,X557),esk27_3(X555,X556,X557))|(vtcheck(X557,esk23_3(X555,X556,X557),varrow(esk25_3(X555,X556,X557),X556))|vsomeType(X556)=vlookup(esk22_3(X555,X556,X557),X557))|~vtcheck(X557,X555,X556))&(vtcheck(vbind(esk26_3(X555,X556,X557),esk28_3(X555,X556,X557),X557),esk27_3(X555,X556,X557),esk29_3(X555,X556,X557))|(vtcheck(X557,esk23_3(X555,X556,X557),varrow(esk25_3(X555,X556,X557),X556))|vsomeType(X556)=vlookup(esk22_3(X555,X556,X557),X557))|~vtcheck(X557,X555,X556)))&(varrow(esk28_3(X555,X556,X557),esk29_3(X555,X556,X557))=X556|(vtcheck(X557,esk23_3(X555,X556,X557),varrow(esk25_3(X555,X556,X557),X556))|vsomeType(X556)=vlookup(esk22_3(X555,X556,X557),X557))|~vtcheck(X557,X555,X556)))&(((X555=vabs(esk26_3(X555,X556,X557),esk28_3(X555,X556,X557),esk27_3(X555,X556,X557))|(vtcheck(X557,esk24_3(X555,X556,X557),esk25_3(X555,X556,X557))|vsomeType(X556)=vlookup(esk22_3(X555,X556,X557),X557))|~vtcheck(X557,X555,X556))&(vtcheck(vbind(esk26_3(X555,X556,X557),esk28_3(X555,X556,X557),X557),esk27_3(X555,X556,X557),esk29_3(X555,X556,X557))|(vtcheck(X557,esk24_3(X555,X556,X557),esk25_3(X555,X556,X557))|vsomeType(X556)=vlookup(esk22_3(X555,X556,X557),X557))|~vtcheck(X557,X555,X556)))&(varrow(esk28_3(X555,X556,X557),esk29_3(X555,X556,X557))=X556|(vtcheck(X557,esk24_3(X555,X556,X557),esk25_3(X555,X556,X557))|vsomeType(X556)=vlookup(esk22_3(X555,X556,X557),X557))|~vtcheck(X557,X555,X556))))&(((X555=vabs(esk26_3(X555,X556,X557),esk28_3(X555,X556,X557),esk27_3(X555,X556,X557))|(vapp(esk23_3(X555,X556,X557),esk24_3(X555,X556,X557))=X555|vsomeType(X556)=vlookup(esk22_3(X555,X556,X557),X557))|~vtcheck(X557,X555,X556))&(vtcheck(vbind(esk26_3(X555,X556,X557),esk28_3(X555,X556,X557),X557),esk27_3(X555,X556,X557),esk29_3(X555,X556,X557))|(vapp(esk23_3(X555,X556,X557),esk24_3(X555,X556,X557))=X555|vsomeType(X556)=vlookup(esk22_3(X555,X556,X557),X557))|~vtcheck(X557,X555,X556)))&(varrow(esk28_3(X555,X556,X557),esk29_3(X555,X556,X557))=X556|(vapp(esk23_3(X555,X556,X557),esk24_3(X555,X556,X557))=X555|vsomeType(X556)=vlookup(esk22_3(X555,X556,X557),X557))|~vtcheck(X557,X555,X556))))&(((((X555=vabs(esk26_3(X555,X556,X557),esk28_3(X555,X556,X557),esk27_3(X555,X556,X557))|(vtcheck(X557,esk23_3(X555,X556,X557),varrow(esk25_3(X555,X556,X557),X556))|vvar(esk22_3(X555,X556,X557))=X555)|~vtcheck(X557,X555,X556))&(vtcheck(vbind(esk26_3(X555,X556,X557),esk28_3(X555,X556,X557),X557),esk27_3(X555,X556,X557),esk29_3(X555,X556,X557))|(vtcheck(X557,esk23_3(X555,X556,X557),varrow(esk25_3(X555,X556,X557),X556))|vvar(esk22_3(X555,X556,X557))=X555)|~vtcheck(X557,X555,X556)))&(varrow(esk28_3(X555,X556,X557),esk29_3(X555,X556,X557))=X556|(vtcheck(X557,esk23_3(X555,X556,X557),varrow(esk25_3(X555,X556,X557),X556))|vvar(esk22_3(X555,X556,X557))=X555)|~vtcheck(X557,X555,X556)))&(((X555=vabs(esk26_3(X555,X556,X557),esk28_3(X555,X556,X557),esk27_3(X555,X556,X557))|(vtcheck(X557,esk24_3(X555,X556,X557),esk25_3(X555,X556,X557))|vvar(esk22_3(X555,X556,X557))=X555)|~vtcheck(X557,X555,X556))&(vtcheck(vbind(esk26_3(X555,X556,X557),esk28_3(X555,X556,X557),X557),esk27_3(X555,X556,X557),esk29_3(X555,X556,X557))|(vtcheck(X557,esk24_3(X555,X556,X557),esk25_3(X555,X556,X557))|vvar(esk22_3(X555,X556,X557))=X555)|~vtcheck(X557,X555,X556)))&(varrow(esk28_3(X555,X556,X557),esk29_3(X555,X556,X557))=X556|(vtcheck(X557,esk24_3(X555,X556,X557),esk25_3(X555,X556,X557))|vvar(esk22_3(X555,X556,X557))=X555)|~vtcheck(X557,X555,X556))))&(((X555=vabs(esk26_3(X555,X556,X557),esk28_3(X555,X556,X557),esk27_3(X555,X556,X557))|(vapp(esk23_3(X555,X556,X557),esk24_3(X555,X556,X557))=X555|vvar(esk22_3(X555,X556,X557))=X555)|~vtcheck(X557,X555,X556))&(vtcheck(vbind(esk26_3(X555,X556,X557),esk28_3(X555,X556,X557),X557),esk27_3(X555,X556,X557),esk29_3(X555,X556,X557))|(vapp(esk23_3(X555,X556,X557),esk24_3(X555,X556,X557))=X555|vvar(esk22_3(X555,X556,X557))=X555)|~vtcheck(X557,X555,X556)))&(varrow(esk28_3(X555,X556,X557),esk29_3(X555,X556,X557))=X556|(vapp(esk23_3(X555,X556,X557),esk24_3(X555,X556,X557))=X555|vvar(esk22_3(X555,X556,X557))=X555)|~vtcheck(X557,X555,X556))))), 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'])])])])])). 0.58/0.77 fof(c_0_43, negated_conjecture, ((vtcheck(vbind(esk42_0,esk43_0,esk44_0),vvar(esk45_0),esk46_0)&~visFreeVar(esk42_0,vvar(esk45_0)))&~vtcheck(esk44_0,vvar(esk45_0),esk46_0)), inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_38])])])). 0.58/0.77 cnf(c_0_44, plain, (X5=X1|X7=vlookup(X5,X3)|vbind(X1,X2,X3)!=X4|X5!=X6|X7!=vlookup(X6,X4)), inference(split_conjunct,[status(thm)],[c_0_39])). 0.58/0.77 cnf(c_0_45, plain, (esk63_2(vnoExp,vvar(X1))=X2|vvar(X1)!=vvar(X2)), inference(spm,[status(thm)],[c_0_40, c_0_41])). 0.58/0.77 cnf(c_0_46, plain, (X1=vabs(esk26_3(X1,X2,X3),esk28_3(X1,X2,X3),esk27_3(X1,X2,X3))|vapp(esk23_3(X1,X2,X3),esk24_3(X1,X2,X3))=X1|vvar(esk22_3(X1,X2,X3))=X1|~vtcheck(X3,X1,X2)), inference(split_conjunct,[status(thm)],[c_0_42])). 0.58/0.77 cnf(c_0_47, negated_conjecture, (vtcheck(vbind(esk42_0,esk43_0,esk44_0),vvar(esk45_0),esk46_0)), inference(split_conjunct,[status(thm)],[c_0_43])). 0.58/0.77 fof(c_0_48, plain, ![X14, X7, X3]:(vsomeType(X3)=X14=>(vgetSomeType(X14)=X7=>X3=X7)), inference(fof_simplification,[status(thm)],[getSomeType0])). 0.58/0.77 cnf(c_0_49, plain, (X1=vlookup(X2,X3)|X4=X2|vbind(X4,X5,X3)!=X6|X1!=vlookup(X2,X6)), inference(er,[status(thm)],[c_0_44])). 0.58/0.77 cnf(c_0_50, plain, (esk63_2(vnoExp,vvar(X1))=X1), inference(er,[status(thm)],[c_0_45])). 0.58/0.77 cnf(c_0_51, negated_conjecture, (vvar(esk22_3(vvar(esk45_0),esk46_0,vbind(esk42_0,esk43_0,esk44_0)))=vvar(esk45_0)), inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_46, c_0_47]), c_0_26]), c_0_25])). 0.58/0.77 fof(c_0_52, plain, ![X527, X528, X529, X530]:((X529!=X530|visFreeVar(X527,X528)|(X530!=X527|X528!=vvar(X529)))&(~visFreeVar(X527,X528)|X530=X529|(X530!=X527|X528!=vvar(X529)))), inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[isFreeVar0])])])). 0.58/0.77 fof(c_0_53, plain, ![X445, X446, X447]:(vsomeType(X447)!=X445|(vgetSomeType(X445)!=X446|X447=X446)), inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_48])])). 0.58/0.77 cnf(c_0_54, plain, (vlookup(X1,X2)=vlookup(X1,X3)|X4=X1|vbind(X4,X5,X3)!=X2), inference(er,[status(thm)],[c_0_49])). 0.58/0.77 cnf(c_0_55, plain, (X1=vabs(esk26_3(X1,X2,X3),esk28_3(X1,X2,X3),esk27_3(X1,X2,X3))|vapp(esk23_3(X1,X2,X3),esk24_3(X1,X2,X3))=X1|vsomeType(X2)=vlookup(esk22_3(X1,X2,X3),X3)|~vtcheck(X3,X1,X2)), inference(split_conjunct,[status(thm)],[c_0_42])). 0.58/0.77 cnf(c_0_56, negated_conjecture, (esk22_3(vvar(esk45_0),esk46_0,vbind(esk42_0,esk43_0,esk44_0))=esk45_0), inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_50, c_0_51]), c_0_50])). 0.58/0.77 cnf(c_0_57, plain, (visFreeVar(X3,X4)|X1!=X2|X2!=X3|X4!=vvar(X1)), inference(split_conjunct,[status(thm)],[c_0_52])). 0.58/0.77 cnf(c_0_58, plain, (X1=X3|vsomeType(X1)!=X2|vgetSomeType(X2)!=X3), inference(split_conjunct,[status(thm)],[c_0_53])). 0.58/0.77 cnf(c_0_59, plain, (vlookup(X1,vbind(X2,X3,X4))=vlookup(X1,X4)|X2=X1), inference(er,[status(thm)],[c_0_54])). 0.58/0.77 cnf(c_0_60, negated_conjecture, (vlookup(esk45_0,vbind(esk42_0,esk43_0,esk44_0))=vsomeType(esk46_0)), inference(rw,[status(thm)],[inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_55, c_0_47]), c_0_26]), c_0_25]), c_0_56])). 0.58/0.77 cnf(c_0_61, plain, (visFreeVar(X1,X2)|X2!=vvar(X1)), inference(er,[status(thm)],[inference(er,[status(thm)],[c_0_57])])). 0.58/0.77 cnf(c_0_62, plain, (X1=X2|vgetSomeType(vsomeType(X1))!=X2), inference(er,[status(thm)],[c_0_58])). 0.58/0.77 cnf(c_0_63, negated_conjecture, (~visFreeVar(esk42_0,vvar(esk45_0))), inference(split_conjunct,[status(thm)],[c_0_43])). 0.58/0.77 cnf(c_0_64, negated_conjecture, (vsomeType(esk46_0)=vlookup(esk45_0,esk44_0)|esk42_0=esk45_0), inference(spm,[status(thm)],[c_0_59, c_0_60])). 0.58/0.77 cnf(c_0_65, plain, (visFreeVar(X1,vvar(X1))), inference(er,[status(thm)],[c_0_61])). 0.58/0.77 fof(c_0_66, plain, ![X22, X1, X12]:(vsomeType(X12)=vlookup(X1,X22)=>vtcheck(X22,vvar(X1),X12)), inference(fof_simplification,[status(thm)],['T-var'])). 0.58/0.77 cnf(c_0_67, plain, (vgetSomeType(vsomeType(X1))=X1), inference(er,[status(thm)],[c_0_62])). 0.58/0.77 cnf(c_0_68, negated_conjecture, (vsomeType(esk46_0)=vlookup(esk45_0,esk44_0)), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_63, c_0_64]), c_0_65])])). 0.58/0.77 fof(c_0_69, plain, ![X399, X400, X401]:(vsomeType(X401)!=vlookup(X400,X399)|vtcheck(X399,vvar(X400),X401)), inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_66])])). 0.58/0.77 cnf(c_0_70, negated_conjecture, (esk46_0=vgetSomeType(vlookup(esk45_0,esk44_0))), inference(spm,[status(thm)],[c_0_67, c_0_68])). 0.58/0.77 cnf(c_0_71, plain, (vtcheck(X3,vvar(X2),X1)|vsomeType(X1)!=vlookup(X2,X3)), inference(split_conjunct,[status(thm)],[c_0_69])). 0.58/0.77 cnf(c_0_72, negated_conjecture, (vsomeType(vgetSomeType(vlookup(esk45_0,esk44_0)))=vlookup(esk45_0,esk44_0)), inference(rw,[status(thm)],[c_0_68, c_0_70])). 0.58/0.77 cnf(c_0_73, negated_conjecture, (~vtcheck(esk44_0,vvar(esk45_0),esk46_0)), inference(split_conjunct,[status(thm)],[c_0_43])). 0.58/0.77 cnf(c_0_74, negated_conjecture, (vtcheck(X1,vvar(X2),vgetSomeType(vlookup(esk45_0,esk44_0)))|vlookup(esk45_0,esk44_0)!=vlookup(X2,X1)), inference(spm,[status(thm)],[c_0_71, c_0_72])). 0.58/0.77 cnf(c_0_75, negated_conjecture, (~vtcheck(esk44_0,vvar(esk45_0),vgetSomeType(vlookup(esk45_0,esk44_0)))), inference(rw,[status(thm)],[c_0_73, c_0_70])). 0.58/0.77 cnf(c_0_76, negated_conjecture, ($false), inference(sr,[status(thm)],[inference(er,[status(thm)],[c_0_74]), c_0_75]), ['proof']). 0.58/0.77 % SZS output end Proof 0.58/0.77 % Total time : 0.131000 s 0.58/0.79 EOF