0.07/0.12 % Problem : theBenchmark.p : TPTP v0.0.0. Released v0.0.0. 0.07/0.12 % Command : java -jar /export/starexec/sandbox2/solver/bin/mcs_scs.jar %d %s 0.12/0.33 % Computer : n028.cluster.edu 0.12/0.33 % Model : x86_64 x86_64 0.12/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz 0.12/0.33 % Memory : 8042.1875MB 0.12/0.33 % OS : Linux 3.10.0-693.el7.x86_64 0.12/0.33 % CPULimit : 960 0.12/0.33 % WCLimit : 120 0.12/0.33 % DateTime : Tue Aug 9 04:32:05 EDT 2022 0.12/0.33 % CPUTime : 0.18/0.43 openjdk version "1.8.0_171" 0.18/0.43 OpenJDK Runtime Environment (build 1.8.0_171-b10) 0.18/0.43 OpenJDK 64-Bit Server VM (build 25.171-b10, mixed mode) 0.18/0.44 file=/export/starexec/sandbox2/benchmark/theBenchmark.p 0.60/0.65 start to proof: theBenchmark 0.63/0.73 % Version : CSE_E---1.4 0.63/0.73 % Problem : theBenchmark.p 0.63/0.73 % Proof found 0.63/0.73 % SZS status Theorem for theBenchmark.p 0.63/0.73 % SZS output start Proof 0.63/0.73 fof('T-Progress-T-var', conjecture, ![X12, X1]:(?[X35]:vreduce(vvar(X1))=vsomeExp(X35)<=(vtcheck(vempty,vvar(X1),X12)&~(visValue(vvar(X1))))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', 'T-Progress-T-var')). 0.63/0.73 fof(lookup0, axiom, ![X1, X5, X6, X7]:((X7=vnoType<=vlookup(X5,X6)=X7)<=(vempty=X6&X1=X5)), file('/export/starexec/sandbox2/benchmark/Axioms/COM001+0.ax', lookup0)). 0.63/0.73 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/sandbox2/benchmark/Axioms/COM001+0.ax', 'T-inv')). 0.63/0.73 fof('DIFF-var-abs', axiom, ![X5, X16, X17, X4]:vvar(X5)!=vabs(X16,X17,X4), file('/export/starexec/sandbox2/benchmark/Axioms/COM001+0.ax', 'DIFF-var-abs')). 0.63/0.73 fof('DIFF-var-app', axiom, ![X5, X4, X8]:vvar(X5)!=vapp(X4,X8), file('/export/starexec/sandbox2/benchmark/Axioms/COM001+0.ax', 'DIFF-var-app')). 0.63/0.73 fof('EQ-var', axiom, ![X5, X16]:((X16=X5=>vvar(X5)=vvar(X16))&(vvar(X5)=vvar(X16)=>X16=X5)), file('/export/starexec/sandbox2/benchmark/Axioms/COM001+0.ax', 'EQ-var')). 0.63/0.73 fof('DIFF-noType-someType', axiom, ![X17]:vnoType!=vsomeType(X17), file('/export/starexec/sandbox2/benchmark/Axioms/COM001+0.ax', 'DIFF-noType-someType')). 0.63/0.73 fof(c_0_7, negated_conjecture, ~(![X12, X1]:((vtcheck(vempty,vvar(X1),X12)&~visValue(vvar(X1)))=>?[X35]:vreduce(vvar(X1))=vsomeExp(X35))), inference(fof_simplification,[status(thm)],[inference(assume_negation,[status(cth)],['T-Progress-T-var'])])). 0.63/0.73 fof(c_0_8, plain, ![X1, X5, X6, X7]:((vempty=X6&X1=X5)=>(vlookup(X5,X6)=X7=>X7=vnoType)), inference(fof_simplification,[status(thm)],[lookup0])). 0.63/0.73 fof(c_0_9, plain, ![X559, X560, X561]:((((((X559=vabs(esk26_3(X559,X560,X561),esk28_3(X559,X560,X561),esk27_3(X559,X560,X561))|(vtcheck(X561,esk23_3(X559,X560,X561),varrow(esk25_3(X559,X560,X561),X560))|vsomeType(X560)=vlookup(esk22_3(X559,X560,X561),X561))|~vtcheck(X561,X559,X560))&(vtcheck(vbind(esk26_3(X559,X560,X561),esk28_3(X559,X560,X561),X561),esk27_3(X559,X560,X561),esk29_3(X559,X560,X561))|(vtcheck(X561,esk23_3(X559,X560,X561),varrow(esk25_3(X559,X560,X561),X560))|vsomeType(X560)=vlookup(esk22_3(X559,X560,X561),X561))|~vtcheck(X561,X559,X560)))&(varrow(esk28_3(X559,X560,X561),esk29_3(X559,X560,X561))=X560|(vtcheck(X561,esk23_3(X559,X560,X561),varrow(esk25_3(X559,X560,X561),X560))|vsomeType(X560)=vlookup(esk22_3(X559,X560,X561),X561))|~vtcheck(X561,X559,X560)))&(((X559=vabs(esk26_3(X559,X560,X561),esk28_3(X559,X560,X561),esk27_3(X559,X560,X561))|(vtcheck(X561,esk24_3(X559,X560,X561),esk25_3(X559,X560,X561))|vsomeType(X560)=vlookup(esk22_3(X559,X560,X561),X561))|~vtcheck(X561,X559,X560))&(vtcheck(vbind(esk26_3(X559,X560,X561),esk28_3(X559,X560,X561),X561),esk27_3(X559,X560,X561),esk29_3(X559,X560,X561))|(vtcheck(X561,esk24_3(X559,X560,X561),esk25_3(X559,X560,X561))|vsomeType(X560)=vlookup(esk22_3(X559,X560,X561),X561))|~vtcheck(X561,X559,X560)))&(varrow(esk28_3(X559,X560,X561),esk29_3(X559,X560,X561))=X560|(vtcheck(X561,esk24_3(X559,X560,X561),esk25_3(X559,X560,X561))|vsomeType(X560)=vlookup(esk22_3(X559,X560,X561),X561))|~vtcheck(X561,X559,X560))))&(((X559=vabs(esk26_3(X559,X560,X561),esk28_3(X559,X560,X561),esk27_3(X559,X560,X561))|(vapp(esk23_3(X559,X560,X561),esk24_3(X559,X560,X561))=X559|vsomeType(X560)=vlookup(esk22_3(X559,X560,X561),X561))|~vtcheck(X561,X559,X560))&(vtcheck(vbind(esk26_3(X559,X560,X561),esk28_3(X559,X560,X561),X561),esk27_3(X559,X560,X561),esk29_3(X559,X560,X561))|(vapp(esk23_3(X559,X560,X561),esk24_3(X559,X560,X561))=X559|vsomeType(X560)=vlookup(esk22_3(X559,X560,X561),X561))|~vtcheck(X561,X559,X560)))&(varrow(esk28_3(X559,X560,X561),esk29_3(X559,X560,X561))=X560|(vapp(esk23_3(X559,X560,X561),esk24_3(X559,X560,X561))=X559|vsomeType(X560)=vlookup(esk22_3(X559,X560,X561),X561))|~vtcheck(X561,X559,X560))))&(((((X559=vabs(esk26_3(X559,X560,X561),esk28_3(X559,X560,X561),esk27_3(X559,X560,X561))|(vtcheck(X561,esk23_3(X559,X560,X561),varrow(esk25_3(X559,X560,X561),X560))|vvar(esk22_3(X559,X560,X561))=X559)|~vtcheck(X561,X559,X560))&(vtcheck(vbind(esk26_3(X559,X560,X561),esk28_3(X559,X560,X561),X561),esk27_3(X559,X560,X561),esk29_3(X559,X560,X561))|(vtcheck(X561,esk23_3(X559,X560,X561),varrow(esk25_3(X559,X560,X561),X560))|vvar(esk22_3(X559,X560,X561))=X559)|~vtcheck(X561,X559,X560)))&(varrow(esk28_3(X559,X560,X561),esk29_3(X559,X560,X561))=X560|(vtcheck(X561,esk23_3(X559,X560,X561),varrow(esk25_3(X559,X560,X561),X560))|vvar(esk22_3(X559,X560,X561))=X559)|~vtcheck(X561,X559,X560)))&(((X559=vabs(esk26_3(X559,X560,X561),esk28_3(X559,X560,X561),esk27_3(X559,X560,X561))|(vtcheck(X561,esk24_3(X559,X560,X561),esk25_3(X559,X560,X561))|vvar(esk22_3(X559,X560,X561))=X559)|~vtcheck(X561,X559,X560))&(vtcheck(vbind(esk26_3(X559,X560,X561),esk28_3(X559,X560,X561),X561),esk27_3(X559,X560,X561),esk29_3(X559,X560,X561))|(vtcheck(X561,esk24_3(X559,X560,X561),esk25_3(X559,X560,X561))|vvar(esk22_3(X559,X560,X561))=X559)|~vtcheck(X561,X559,X560)))&(varrow(esk28_3(X559,X560,X561),esk29_3(X559,X560,X561))=X560|(vtcheck(X561,esk24_3(X559,X560,X561),esk25_3(X559,X560,X561))|vvar(esk22_3(X559,X560,X561))=X559)|~vtcheck(X561,X559,X560))))&(((X559=vabs(esk26_3(X559,X560,X561),esk28_3(X559,X560,X561),esk27_3(X559,X560,X561))|(vapp(esk23_3(X559,X560,X561),esk24_3(X559,X560,X561))=X559|vvar(esk22_3(X559,X560,X561))=X559)|~vtcheck(X561,X559,X560))&(vtcheck(vbind(esk26_3(X559,X560,X561),esk28_3(X559,X560,X561),X561),esk27_3(X559,X560,X561),esk29_3(X559,X560,X561))|(vapp(esk23_3(X559,X560,X561),esk24_3(X559,X560,X561))=X559|vvar(esk22_3(X559,X560,X561))=X559)|~vtcheck(X561,X559,X560)))&(varrow(esk28_3(X559,X560,X561),esk29_3(X559,X560,X561))=X560|(vapp(esk23_3(X559,X560,X561),esk24_3(X559,X560,X561))=X559|vvar(esk22_3(X559,X560,X561))=X559)|~vtcheck(X561,X559,X560))))), 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'])])])])])). 0.63/0.73 fof(c_0_10, negated_conjecture, ![X631]:((vtcheck(vempty,vvar(esk43_0),esk42_0)&~visValue(vvar(esk43_0)))&vreduce(vvar(esk43_0))!=vsomeExp(X631)), inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_7])])])])). 0.63/0.73 fof(c_0_11, plain, ![X382, X383, X384, X385]:vvar(X382)!=vabs(X383,X384,X385), inference(variable_rename,[status(thm)],['DIFF-var-abs'])). 0.63/0.73 fof(c_0_12, plain, ![X545, X546, X547]:vvar(X545)!=vapp(X546,X547), inference(variable_rename,[status(thm)],['DIFF-var-app'])). 0.63/0.73 fof(c_0_13, plain, ![X360, X361, X362, X363]:(vempty!=X362|X360!=X361|(vlookup(X361,X362)!=X363|X363=vnoType)), inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_8])])). 0.63/0.73 fof(c_0_14, plain, ![X514, X515]:((X515!=X514|vvar(X514)=vvar(X515))&(vvar(X514)!=vvar(X515)|X515=X514)), inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],['EQ-var'])])). 0.63/0.73 cnf(c_0_15, 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_9])). 0.63/0.73 cnf(c_0_16, negated_conjecture, (vtcheck(vempty,vvar(esk43_0),esk42_0)), inference(split_conjunct,[status(thm)],[c_0_10])). 0.63/0.73 cnf(c_0_17, plain, (vvar(X1)!=vabs(X2,X3,X4)), inference(split_conjunct,[status(thm)],[c_0_11])). 0.63/0.73 cnf(c_0_18, plain, (vvar(X1)!=vapp(X2,X3)), inference(split_conjunct,[status(thm)],[c_0_12])). 0.63/0.73 cnf(c_0_19, plain, (X4=vnoType|vempty!=X1|X2!=X3|vlookup(X3,X1)!=X4), inference(split_conjunct,[status(thm)],[c_0_13])). 0.63/0.73 cnf(c_0_20, plain, (X2=X1|vvar(X1)!=vvar(X2)), inference(split_conjunct,[status(thm)],[c_0_14])). 0.63/0.73 cnf(c_0_21, negated_conjecture, (vvar(esk22_3(vvar(esk43_0),esk42_0,vempty))=vvar(esk43_0)), inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_15, c_0_16]), c_0_17]), c_0_18])). 0.63/0.73 cnf(c_0_22, plain, (X1=vnoType|vlookup(X2,X3)!=X1|vempty!=X3), inference(er,[status(thm)],[c_0_19])). 0.63/0.73 cnf(c_0_23, negated_conjecture, (esk22_3(vvar(esk43_0),esk42_0,vempty)=X1|vvar(esk43_0)!=vvar(X1)), inference(spm,[status(thm)],[c_0_20, c_0_21])). 0.63/0.73 cnf(c_0_24, plain, (X1=vnoType|vlookup(X2,vempty)!=X1), inference(er,[status(thm)],[c_0_22])). 0.63/0.73 fof(c_0_25, plain, ![X623]:vnoType!=vsomeType(X623), inference(variable_rename,[status(thm)],['DIFF-noType-someType'])). 0.63/0.73 cnf(c_0_26, 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_9])). 0.63/0.73 cnf(c_0_27, negated_conjecture, (esk22_3(vvar(esk43_0),esk42_0,vempty)=esk43_0), inference(er,[status(thm)],[c_0_23])). 0.63/0.73 cnf(c_0_28, plain, (vlookup(X1,vempty)=vnoType), inference(er,[status(thm)],[c_0_24])). 0.63/0.73 cnf(c_0_29, plain, (vnoType!=vsomeType(X1)), inference(split_conjunct,[status(thm)],[c_0_25])). 0.63/0.73 cnf(c_0_30, negated_conjecture, ($false), inference(sr,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_26, c_0_16]), c_0_17]), c_0_18]), c_0_27]), c_0_28]), c_0_29]), ['proof']). 0.63/0.73 % SZS output end Proof 0.63/0.73 % Total time : 0.067000 s 0.63/0.74 EOF