0.00/0.10 % Problem : theBenchmark.p : TPTP v0.0.0. Released v0.0.0. 0.00/0.10 % Command : java -jar /export/starexec/sandbox2/solver/bin/mcs_scs.jar %d %s 0.10/0.30 % Computer : n013.cluster.edu 0.10/0.30 % Model : x86_64 x86_64 0.10/0.30 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz 0.10/0.30 % Memory : 8042.1875MB 0.10/0.30 % OS : Linux 3.10.0-693.el7.x86_64 0.10/0.30 % CPULimit : 960 0.10/0.30 % WCLimit : 120 0.10/0.30 % DateTime : Tue Aug 9 03:08:30 EDT 2022 0.10/0.30 % 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) 0.15/0.39 file=/export/starexec/sandbox2/benchmark/theBenchmark.p 0.54/0.62 start to proof: theBenchmark 0.56/0.75 % Version : CSE_E---1.4 0.56/0.75 % Problem : theBenchmark.p 0.56/0.75 % Proof found 0.56/0.75 % SZS status Theorem for theBenchmark.p 0.56/0.75 % SZS output start Proof 0.56/0.75 fof('T-subst-abs-3', axiom, ![X12, X22, X1, X3, X9, X2, X33]:(vtcheck(X22,vsubst(X1,X3,vabs(X9,X2,veabs)),X33)<=(((visFreeVar(X9,X3)&vtcheck(vbind(X1,X12,X22),vabs(X9,X2,veabs),X33))&vtcheck(X22,X3,X12))&X9!=X1)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', 'T-subst-abs-3')). 0.56/0.75 fof('T-subst-abs-2', axiom, ![X12, X22, X1, X3, X9, X2, X33]:((((X1!=X9&~(visFreeVar(X9,X3)))&vtcheck(vbind(X1,X12,X22),vabs(X9,X2,veabs),X33))&vtcheck(X22,X3,X12))=>vtcheck(X22,vsubst(X1,X3,vabs(X9,X2,veabs)),X33)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', 'T-subst-abs-2')). 0.56/0.75 fof(subst3, axiom, ![X3, X1, X5, X4, X8, X7, X9, X12, X10]:((X1=X9=>(X7=vsubst(X5,X4,X8)=>X7=vabs(X9,X12,X10)))<=((X1=X5&X8=vabs(X9,X12,X10))&X4=X3)), file('/export/starexec/sandbox2/benchmark/Axioms/COM001+0.ax', subst3)). 0.56/0.75 fof('T-subst-abs', conjecture, ![X12, X22, X1, X3, X9, X2, X33]:((vtcheck(vbind(X1,X12,X22),vabs(X9,X2,veabs),X33)&vtcheck(X22,X3,X12))=>vtcheck(X22,vsubst(X1,X3,vabs(X9,X2,veabs)),X33)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', 'T-subst-abs')). 0.56/0.75 fof(isFreeVar1, axiom, ![X12, X5, X4, X1, X23, X3]:(((visFreeVar(X5,X4)=>(visFreeVar(X23,X3)&X1!=X23))&((visFreeVar(X23,X3)&X23!=X1)=>visFreeVar(X5,X4)))<=(X5=X23&X4=vabs(X1,X12,X3))), file('/export/starexec/sandbox2/benchmark/Axioms/COM001+0.ax', isFreeVar1)). 0.56/0.75 fof('T-Strong', axiom, ![X1, X2, X22, X3, X12]:(vtcheck(X22,X3,X12)<=(vtcheck(vbind(X1,X2,X22),X3,X12)&~(visFreeVar(X1,X3)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', 'T-Strong')). 0.56/0.75 fof(c_0_6, plain, ![X12, X22, X1, X3, X9, X2, X33]:((((visFreeVar(X9,X3)&vtcheck(vbind(X1,X12,X22),vabs(X9,X2,veabs),X33))&vtcheck(X22,X3,X12))&X9!=X1)=>vtcheck(X22,vsubst(X1,X3,vabs(X9,X2,veabs)),X33)), inference(fof_simplification,[status(thm)],['T-subst-abs-3'])). 0.56/0.75 fof(c_0_7, plain, ![X12, X22, X1, X3, X9, X2, X33]:((((X1!=X9&~visFreeVar(X9,X3))&vtcheck(vbind(X1,X12,X22),vabs(X9,X2,veabs),X33))&vtcheck(X22,X3,X12))=>vtcheck(X22,vsubst(X1,X3,vabs(X9,X2,veabs)),X33)), inference(fof_simplification,[status(thm)],['T-subst-abs-2'])). 0.56/0.75 fof(c_0_8, plain, ![X3, X1, X5, X4, X8, X7, X9, X12, X10]:(((X1=X5&X8=vabs(X9,X12,X10))&X4=X3)=>(X1=X9=>(X7=vsubst(X5,X4,X8)=>X7=vabs(X9,X12,X10)))), inference(fof_simplification,[status(thm)],[subst3])). 0.56/0.75 fof(c_0_9, plain, ![X664, X665, X666, X667, X668, X669, X670]:(~visFreeVar(X668,X667)|~vtcheck(vbind(X666,X664,X665),vabs(X668,X669,veabs),X670)|~vtcheck(X665,X667,X664)|X668=X666|vtcheck(X665,vsubst(X666,X667,vabs(X668,X669,veabs)),X670)), inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_6])])). 0.56/0.75 fof(c_0_10, plain, ![X701, X702, X703, X704, X705, X706, X707]:(X703=X705|visFreeVar(X705,X704)|~vtcheck(vbind(X703,X701,X702),vabs(X705,X706,veabs),X707)|~vtcheck(X702,X704,X701)|vtcheck(X702,vsubst(X703,X704,vabs(X705,X706,veabs)),X707)), inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_7])])). 0.56/0.75 fof(c_0_11, negated_conjecture, ~(![X12, X22, X1, X3, X9, X2, X33]:((vtcheck(vbind(X1,X12,X22),vabs(X9,X2,veabs),X33)&vtcheck(X22,X3,X12))=>vtcheck(X22,vsubst(X1,X3,vabs(X9,X2,veabs)),X33))), inference(assume_negation,[status(cth)],['T-subst-abs'])). 0.56/0.75 fof(c_0_12, plain, ![X12, X5, X4, X1, X23, X3]:((X5=X23&X4=vabs(X1,X12,X3))=>((visFreeVar(X5,X4)=>(visFreeVar(X23,X3)&X1!=X23))&((visFreeVar(X23,X3)&X23!=X1)=>visFreeVar(X5,X4)))), inference(fof_simplification,[status(thm)],[isFreeVar1])). 0.56/0.75 fof(c_0_13, plain, ![X441, X442, X443, X444, X445, X446, X447, X448, X449]:(X442!=X443|X445!=vabs(X447,X448,X449)|X444!=X441|(X442!=X447|(X446!=vsubst(X443,X444,X445)|X446=vabs(X447,X448,X449)))), inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_8])])). 0.56/0.75 fof(c_0_14, plain, ![X1, X2, X22, X3, X12]:((vtcheck(vbind(X1,X2,X22),X3,X12)&~visFreeVar(X1,X3))=>vtcheck(X22,X3,X12)), inference(fof_simplification,[status(thm)],['T-Strong'])). 0.56/0.76 cnf(c_0_15, plain, (X1=X3|vtcheck(X5,vsubst(X3,X2,vabs(X1,X6,veabs)),X7)|~visFreeVar(X1,X2)|~vtcheck(vbind(X3,X4,X5),vabs(X1,X6,veabs),X7)|~vtcheck(X5,X2,X4)), inference(split_conjunct,[status(thm)],[c_0_9])). 0.56/0.76 cnf(c_0_16, plain, (X1=X2|visFreeVar(X2,X3)|vtcheck(X5,vsubst(X1,X3,vabs(X2,X6,veabs)),X7)|~vtcheck(vbind(X1,X4,X5),vabs(X2,X6,veabs),X7)|~vtcheck(X5,X3,X4)), inference(split_conjunct,[status(thm)],[c_0_10])). 0.56/0.76 fof(c_0_17, negated_conjecture, ((vtcheck(vbind(esk44_0,esk42_0,esk43_0),vabs(esk46_0,esk47_0,veabs),esk48_0)&vtcheck(esk43_0,esk45_0,esk42_0))&~vtcheck(esk43_0,vsubst(esk44_0,esk45_0,vabs(esk46_0,esk47_0,veabs)),esk48_0)), inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_11])])])). 0.56/0.76 fof(c_0_18, plain, ![X538, X539, X540, X541, X542, X543]:(((visFreeVar(X542,X543)|~visFreeVar(X539,X540)|(X539!=X542|X540!=vabs(X541,X538,X543)))&(X541!=X542|~visFreeVar(X539,X540)|(X539!=X542|X540!=vabs(X541,X538,X543))))&(~visFreeVar(X542,X543)|X542=X541|visFreeVar(X539,X540)|(X539!=X542|X540!=vabs(X541,X538,X543)))), inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_12])])])). 0.56/0.76 cnf(c_0_19, plain, (X9=vabs(X4,X5,X6)|X1!=X2|X3!=vabs(X4,X5,X6)|X7!=X8|X1!=X4|X9!=vsubst(X2,X7,X3)), inference(split_conjunct,[status(thm)],[c_0_13])). 0.56/0.76 fof(c_0_20, plain, ![X659, X660, X661, X662, X663]:(~vtcheck(vbind(X659,X660,X661),X662,X663)|visFreeVar(X659,X662)|vtcheck(X661,X662,X663)), inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_14])])). 0.56/0.76 cnf(c_0_21, plain, (X1=X2|vtcheck(X3,vsubst(X2,X4,vabs(X1,X5,veabs)),X6)|~vtcheck(vbind(X2,X7,X3),vabs(X1,X5,veabs),X6)|~vtcheck(X3,X4,X7)), inference(csr,[status(thm)],[c_0_15, c_0_16])). 0.56/0.76 cnf(c_0_22, negated_conjecture, (vtcheck(esk43_0,esk45_0,esk42_0)), inference(split_conjunct,[status(thm)],[c_0_17])). 0.56/0.76 cnf(c_0_23, plain, (X1!=X2|~visFreeVar(X3,X4)|X3!=X2|X4!=vabs(X1,X5,X6)), inference(split_conjunct,[status(thm)],[c_0_18])). 0.56/0.76 cnf(c_0_24, plain, (X1=vabs(X2,X3,X4)|X1!=vsubst(X2,X5,X6)|X6!=vabs(X2,X3,X4)), inference(er,[status(thm)],[inference(er,[status(thm)],[inference(er,[status(thm)],[c_0_19])])])). 0.56/0.76 cnf(c_0_25, plain, (visFreeVar(X1,X4)|vtcheck(X3,X4,X5)|~vtcheck(vbind(X1,X2,X3),X4,X5)), inference(split_conjunct,[status(thm)],[c_0_20])). 0.56/0.76 cnf(c_0_26, negated_conjecture, (vtcheck(vbind(esk44_0,esk42_0,esk43_0),vabs(esk46_0,esk47_0,veabs),esk48_0)), inference(split_conjunct,[status(thm)],[c_0_17])). 0.56/0.76 cnf(c_0_27, negated_conjecture, (X1=X2|vtcheck(esk43_0,vsubst(X2,esk45_0,vabs(X1,X3,veabs)),X4)|~vtcheck(vbind(X2,esk42_0,esk43_0),vabs(X1,X3,veabs),X4)), inference(spm,[status(thm)],[c_0_21, c_0_22])). 0.56/0.76 cnf(c_0_28, negated_conjecture, (~vtcheck(esk43_0,vsubst(esk44_0,esk45_0,vabs(esk46_0,esk47_0,veabs)),esk48_0)), inference(split_conjunct,[status(thm)],[c_0_17])). 0.56/0.76 cnf(c_0_29, plain, (X1!=vabs(X2,X3,X4)|~visFreeVar(X2,X1)), inference(er,[status(thm)],[inference(er,[status(thm)],[c_0_23])])). 0.56/0.76 cnf(c_0_30, plain, (vsubst(X1,X2,X3)=vabs(X1,X4,X5)|X3!=vabs(X1,X4,X5)), inference(er,[status(thm)],[c_0_24])). 0.56/0.76 cnf(c_0_31, negated_conjecture, (vtcheck(esk43_0,vabs(esk46_0,esk47_0,veabs),esk48_0)|visFreeVar(esk44_0,vabs(esk46_0,esk47_0,veabs))), inference(spm,[status(thm)],[c_0_25, c_0_26])). 0.56/0.76 cnf(c_0_32, negated_conjecture, (esk46_0=esk44_0), inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_27, c_0_26]), c_0_28])). 0.56/0.76 cnf(c_0_33, plain, (~visFreeVar(X1,vabs(X1,X2,X3))), inference(er,[status(thm)],[c_0_29])). 0.56/0.76 cnf(c_0_34, plain, (vsubst(X1,X2,vabs(X1,X3,X4))=vabs(X1,X3,X4)), inference(er,[status(thm)],[c_0_30])). 0.56/0.76 cnf(c_0_35, negated_conjecture, (vtcheck(esk43_0,vabs(esk44_0,esk47_0,veabs),esk48_0)), inference(sr,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_31, c_0_32]), c_0_32]), c_0_33])). 0.56/0.76 cnf(c_0_36, negated_conjecture, ($false), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_28, c_0_32]), c_0_34]), c_0_35])]), ['proof']). 0.56/0.76 % SZS output end Proof 0.56/0.76 % Total time : 0.131000 s 0.56/0.76 EOF