0.00/0.03 % Problem : theBenchmark.p : TPTP v0.0.0. Released v0.0.0. 0.00/0.04 % Command : eprover --delete-bad-limit=2000000000 --definitional-cnf=24 -s --print-statistics -R --print-version --proof-object --auto-schedule --cpu-limit=%d %s 0.02/0.26 % Computer : n186.star.cs.uiowa.edu 0.02/0.26 % Model : x86_64 x86_64 0.02/0.26 % CPU : Intel(R) Xeon(R) CPU E5-2609 0 @ 2.40GHz 0.02/0.26 % Memory : 32218.625MB 0.02/0.26 % OS : Linux 3.10.0-693.2.2.el7.x86_64 0.02/0.26 % CPULimit : 300 0.02/0.26 % DateTime : Sat Jul 14 05:44:54 CDT 2018 0.02/0.26 % CPUTime : 0.02/0.26 # Version: 2.2pre001 0.02/0.26 # No SInE strategy applied 0.02/0.26 # Trying AutoSched0 for 151 seconds 7.94/8.16 # AutoSched0-Mode selected heuristic H_____011_C18_F1_PI_SE_SP_S2S 7.94/8.16 # and selection function SelectNewComplexAHP. 7.94/8.16 # 7.94/8.16 # Preprocessing time : 0.010 s 7.94/8.16 7.94/8.16 # Proof found! 7.94/8.16 # SZS status Theorem 7.94/8.16 # SZS output start CNFRefutation 7.94/8.16 fof(mMNeg, axiom, ![X1, X2]:((smndt0(sdtasdt0(X1,X2))=sdtasdt0(smndt0(X1),X2)&smndt0(sdtasdt0(X1,X2))=sdtasdt0(X1,smndt0(X2)))<=(aScalar0(X2)&aScalar0(X1))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', mMNeg)). 7.94/8.16 fof(mMulSc, axiom, ![X1, X2]:((aScalar0(X2)&aScalar0(X1))=>aScalar0(sdtasdt0(X1,X2))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', mMulSc)). 7.94/8.16 fof(m__1873, hypothesis, (xH=sdtasdt0(xA,xB)&aScalar0(xH)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', m__1873)). 7.94/8.16 fof(m__1766, hypothesis, (sdtlbdtrb0(xt,aDimensionOf0(xt))=xB&aScalar0(xB)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', m__1766)). 7.94/8.16 fof(m__1746, hypothesis, (sdtlbdtrb0(xs,aDimensionOf0(xs))=xA&aScalar0(xA)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', m__1746)). 7.97/8.34 fof(mArith, axiom, ![X1, X2, X3]:((((sdtasdt0(X1,X2)=sdtasdt0(X2,X1)&sdtasdt0(X1,sdtasdt0(X2,X3))=sdtasdt0(sdtasdt0(X1,X2),X3))&sdtpldt0(X1,X2)=sdtpldt0(X2,X1))&sdtpldt0(X1,sdtpldt0(X2,X3))=sdtpldt0(sdtpldt0(X1,X2),X3))<=((aScalar0(X2)&aScalar0(X3))&aScalar0(X1))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', mArith)). 7.97/8.34 fof(mNegSc, axiom, ![X1]:(aScalar0(X1)=>aScalar0(smndt0(X1))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', mNegSc)). 7.97/8.34 fof(m__1930, hypothesis, (xS=sdtasdt0(xF,xD)&aScalar0(xS)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', m__1930)). 7.97/8.34 fof(m__1837, hypothesis, (aScalar0(xF)&sdtasdt0(xA,xA)=xF), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', m__1837)). 7.97/8.34 fof(m__1800, hypothesis, (xD=sdtasasdt0(xq,xq)&aScalar0(xD)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', m__1800)). 7.97/8.34 fof(mScZero, axiom, ![X1]:(aScalar0(X1)=>(((((((sdtpldt0(X1,smndt0(X1))=sz0z00&sz0z00=sdtpldt0(smndt0(X1),X1))&smndt0(smndt0(X1))=X1)&sz0z00=smndt0(sz0z00))&sdtasdt0(sz0z00,X1)=sz0z00)&sdtasdt0(X1,sz0z00)=sz0z00)&sdtpldt0(sz0z00,X1)=X1)&X1=sdtpldt0(X1,sz0z00))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', mScZero)). 7.97/8.34 fof(mScPr, axiom, ![X1, X2]:((aVector0(X2)&aVector0(X1))=>(aScalar0(sdtasasdt0(X1,X2))<=aDimensionOf0(X1)=aDimensionOf0(X2))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', mScPr)). 7.97/8.34 fof(mScSqPos, axiom, ![X1]:(aVector0(X1)=>sdtlseqdt0(sz0z00,sdtasasdt0(X1,X1))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', mScSqPos)). 7.97/8.34 fof(m__1709, hypothesis, (((aVector0(xp)&szszuzczcdt0(aDimensionOf0(xp))=aDimensionOf0(xs))&xp=sziznziztdt0(xs))&![X1]:(sdtlbdtrb0(xs,X1)=sdtlbdtrb0(xp,X1)<=aNaturalNumber0(X1))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', m__1709)). 7.97/8.34 fof(mPosMon, axiom, ![X1, X2]:((aScalar0(X1)&aScalar0(X2))=>((sdtlseqdt0(sz0z00,X2)&sdtlseqdt0(sz0z00,X1))=>(sdtlseqdt0(sz0z00,sdtpldt0(X1,X2))&sdtlseqdt0(sz0z00,sdtasdt0(X1,X2))))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', mPosMon)). 7.97/8.34 fof(m__1783, hypothesis, (sdtasasdt0(xp,xp)=xC&aScalar0(xC)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', m__1783)). 7.97/8.34 fof(mSqPos, axiom, ![X1]:(aScalar0(X1)=>sdtlseqdt0(sz0z00,sdtasdt0(X1,X1))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', mSqPos)). 7.97/8.34 fof(m__1854, hypothesis, (aScalar0(xG)&xG=sdtasdt0(xB,xB)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', m__1854)). 7.97/8.34 fof(m__1726, hypothesis, (((szszuzczcdt0(aDimensionOf0(xq))=aDimensionOf0(xt)&sziznziztdt0(xt)=xq)&![X1]:(sdtlbdtrb0(xt,X1)=sdtlbdtrb0(xq,X1)<=aNaturalNumber0(X1)))&aVector0(xq)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', m__1726)). 7.97/8.34 fof(m__1678, hypothesis, (aVector0(xt)&aVector0(xs)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', m__1678)). 7.97/8.34 fof(m__1678_01, hypothesis, aDimensionOf0(xs)=aDimensionOf0(xt), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', m__1678_01)). 7.97/8.34 fof(mLEMon, axiom, ![X1, X2, X3, X4]:((sdtlseqdt0(sdtpldt0(X1,X3),sdtpldt0(X2,X4))<=(sdtlseqdt0(X1,X2)&sdtlseqdt0(X3,X4)))<=(((aScalar0(X4)&aScalar0(X3))&aScalar0(X2))&aScalar0(X1))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', mLEMon)). 7.97/8.34 fof(mLERef, axiom, ![X1]:(sdtlseqdt0(X1,X1)<=aScalar0(X1)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', mLERef)). 7.97/8.34 fof(mSZeroSc, axiom, aScalar0(sz0z00), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', mSZeroSc)). 7.97/8.34 fof(m__1892, hypothesis, (xR=sdtasdt0(xC,xG)&aScalar0(xR)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', m__1892)). 7.97/8.34 fof(m__2144, hypothesis, ((sdtasdt0(xS,xS)=sdtasdt0(smndt0(xS),smndt0(xS))&smndt0(xN)=sdtasdt0(smndt0(xS),xR))&sdtasdt0(xR,smndt0(xS))=smndt0(xN)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', m__2144)). 7.97/8.34 fof(m__1949, hypothesis, (xN=sdtasdt0(xR,xS)&aScalar0(xN)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', m__1949)). 7.97/8.34 fof(mLEMonM, axiom, ![X1, X2, X3, X4]:((((sdtlseqdt0(X1,X2)&sdtlseqdt0(X3,X4))&sdtlseqdt0(sz0z00,X3))=>sdtlseqdt0(sdtasdt0(X1,X3),sdtasdt0(X2,X4)))<=(((aScalar0(X4)&aScalar0(X3))&aScalar0(X2))&aScalar0(X1))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', mLEMonM)). 7.97/8.34 fof(mLEASm, axiom, ![X1, X2]:((X2=X1<=(sdtlseqdt0(X1,X2)&sdtlseqdt0(X2,X1)))<=(aScalar0(X1)&aScalar0(X2))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', mLEASm)). 7.97/8.34 fof(m__, conjecture, sdtlseqdt0(sdtpldt0(xN,xN),sdtpldt0(sdtasdt0(xR,xR),sdtasdt0(xS,xS))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', m__)). 7.97/8.34 fof(c_0_30, plain, ![X46, X47]:((smndt0(sdtasdt0(X46,X47))=sdtasdt0(smndt0(X46),X47)|(~aScalar0(X47)|~aScalar0(X46)))&(smndt0(sdtasdt0(X46,X47))=sdtasdt0(X46,smndt0(X47))|(~aScalar0(X47)|~aScalar0(X46)))), inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(fof_simplification,[status(thm)],[mMNeg])])])])). 7.97/8.34 fof(c_0_31, plain, ![X39, X40]:(~aScalar0(X40)|~aScalar0(X39)|aScalar0(sdtasdt0(X39,X40))), inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[mMulSc])])). 7.97/8.34 cnf(c_0_32, plain, (smndt0(sdtasdt0(X1,X2))=sdtasdt0(X1,smndt0(X2))|~aScalar0(X2)|~aScalar0(X1)), inference(split_conjunct,[status(thm)],[c_0_30])). 7.97/8.34 cnf(c_0_33, hypothesis, (xH=sdtasdt0(xA,xB)), inference(split_conjunct,[status(thm)],[m__1873])). 7.97/8.34 cnf(c_0_34, hypothesis, (aScalar0(xB)), inference(split_conjunct,[status(thm)],[m__1766])). 7.97/8.34 cnf(c_0_35, hypothesis, (aScalar0(xA)), inference(split_conjunct,[status(thm)],[m__1746])). 7.97/8.34 fof(c_0_36, plain, ![X16, X17, X18]:((((sdtasdt0(X16,X17)=sdtasdt0(X17,X16)|(~aScalar0(X17)|~aScalar0(X18)|~aScalar0(X16)))&(sdtasdt0(X16,sdtasdt0(X17,X18))=sdtasdt0(sdtasdt0(X16,X17),X18)|(~aScalar0(X17)|~aScalar0(X18)|~aScalar0(X16))))&(sdtpldt0(X16,X17)=sdtpldt0(X17,X16)|(~aScalar0(X17)|~aScalar0(X18)|~aScalar0(X16))))&(sdtpldt0(X16,sdtpldt0(X17,X18))=sdtpldt0(sdtpldt0(X16,X17),X18)|(~aScalar0(X17)|~aScalar0(X18)|~aScalar0(X16)))), inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(fof_simplification,[status(thm)],[mArith])])])])). 7.97/8.34 cnf(c_0_37, plain, (aScalar0(sdtasdt0(X2,X1))|~aScalar0(X1)|~aScalar0(X2)), inference(split_conjunct,[status(thm)],[c_0_31])). 7.97/8.34 cnf(c_0_38, hypothesis, (sdtasdt0(xA,smndt0(xB))=smndt0(xH)), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_32, c_0_33]), c_0_34]), c_0_35])])). 7.97/8.34 fof(c_0_39, plain, ![X58]:(~aScalar0(X58)|aScalar0(smndt0(X58))), inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[mNegSc])])). 7.97/8.34 cnf(c_0_40, hypothesis, (xS=sdtasdt0(xF,xD)), inference(split_conjunct,[status(thm)],[m__1930])). 7.97/8.34 cnf(c_0_41, plain, (sdtasdt0(X1,X2)=sdtasdt0(X2,X1)|~aScalar0(X2)|~aScalar0(X3)|~aScalar0(X1)), inference(split_conjunct,[status(thm)],[c_0_36])). 7.97/8.34 cnf(c_0_42, hypothesis, (aScalar0(xF)), inference(split_conjunct,[status(thm)],[m__1837])). 7.97/8.34 cnf(c_0_43, hypothesis, (aScalar0(xD)), inference(split_conjunct,[status(thm)],[m__1800])). 7.97/8.34 cnf(c_0_44, hypothesis, (aScalar0(smndt0(xH))|~aScalar0(smndt0(xB))), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_37, c_0_38]), c_0_35])])). 7.97/8.34 cnf(c_0_45, plain, (aScalar0(smndt0(X1))|~aScalar0(X1)), inference(split_conjunct,[status(thm)],[c_0_39])). 7.97/8.34 cnf(c_0_46, hypothesis, (sdtasdt0(xA,xA)=xF), inference(split_conjunct,[status(thm)],[m__1837])). 7.97/8.34 cnf(c_0_47, hypothesis, (sdtasdt0(xD,xF)=xS|~aScalar0(X1)), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_40, c_0_41]), c_0_42]), c_0_43])])). 7.97/8.34 cnf(c_0_48, hypothesis, (aScalar0(smndt0(xH))), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_44, c_0_45]), c_0_34])])). 7.97/8.34 cnf(c_0_49, hypothesis, (sdtasdt0(xA,smndt0(xA))=smndt0(xF)), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_32, c_0_46]), c_0_35])])). 7.97/8.34 cnf(c_0_50, hypothesis, (sdtasdt0(xD,xF)=xS), inference(spm,[status(thm)],[c_0_47, c_0_48])). 7.97/8.34 cnf(c_0_51, hypothesis, (aScalar0(smndt0(xF))|~aScalar0(smndt0(xA))), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_37, c_0_49]), c_0_35])])). 7.97/8.34 cnf(c_0_52, hypothesis, (sdtasdt0(xD,smndt0(xF))=smndt0(xS)), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_32, c_0_50]), c_0_42]), c_0_43])])). 7.97/8.34 cnf(c_0_53, hypothesis, (aScalar0(smndt0(xF))), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_51, c_0_45]), c_0_35])])). 7.97/8.34 fof(c_0_54, plain, ![X38]:((((((((sdtpldt0(X38,smndt0(X38))=sz0z00|~aScalar0(X38))&(sz0z00=sdtpldt0(smndt0(X38),X38)|~aScalar0(X38)))&(smndt0(smndt0(X38))=X38|~aScalar0(X38)))&(sz0z00=smndt0(sz0z00)|~aScalar0(X38)))&(sdtasdt0(sz0z00,X38)=sz0z00|~aScalar0(X38)))&(sdtasdt0(X38,sz0z00)=sz0z00|~aScalar0(X38)))&(sdtpldt0(sz0z00,X38)=X38|~aScalar0(X38)))&(X38=sdtpldt0(X38,sz0z00)|~aScalar0(X38))), inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[mScZero])])])). 7.97/8.34 cnf(c_0_55, hypothesis, (sdtasdt0(xF,smndt0(xD))=smndt0(xS)), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_32, c_0_40]), c_0_43]), c_0_42])])). 7.97/8.34 fof(c_0_56, plain, ![X51, X52]:(~aVector0(X52)|~aVector0(X51)|(aDimensionOf0(X51)!=aDimensionOf0(X52)|aScalar0(sdtasasdt0(X51,X52)))), inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(fof_simplification,[status(thm)],[mScPr])])])). 7.97/8.34 fof(c_0_57, plain, ![X15]:(~aVector0(X15)|sdtlseqdt0(sz0z00,sdtasasdt0(X15,X15))), inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[mScSqPos])])). 7.97/8.34 fof(c_0_58, hypothesis, ![X65]:(((aVector0(xp)&szszuzczcdt0(aDimensionOf0(xp))=aDimensionOf0(xs))&xp=sziznziztdt0(xs))&(~aNaturalNumber0(X65)|sdtlbdtrb0(xs,X65)=sdtlbdtrb0(xp,X65))), inference(shift_quantors,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(fof_simplification,[status(thm)],[m__1709])])])])])])). 7.97/8.34 cnf(c_0_59, hypothesis, (sdtasdt0(xD,smndt0(smndt0(xF)))=smndt0(smndt0(xS))), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_32, c_0_52]), c_0_53]), c_0_43])])). 7.97/8.34 cnf(c_0_60, plain, (smndt0(smndt0(X1))=X1|~aScalar0(X1)), inference(split_conjunct,[status(thm)],[c_0_54])). 7.97/8.34 cnf(c_0_61, hypothesis, (aScalar0(smndt0(xS))|~aScalar0(smndt0(xD))), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_37, c_0_55]), c_0_42])])). 7.97/8.34 cnf(c_0_62, plain, (aScalar0(sdtasasdt0(X2,X1))|~aVector0(X1)|~aVector0(X2)|aDimensionOf0(X2)!=aDimensionOf0(X1)), inference(split_conjunct,[status(thm)],[c_0_56])). 7.97/8.34 fof(c_0_63, plain, ![X66, X67]:((sdtlseqdt0(sz0z00,sdtpldt0(X66,X67))|(~sdtlseqdt0(sz0z00,X67)|~sdtlseqdt0(sz0z00,X66))|(~aScalar0(X66)|~aScalar0(X67)))&(sdtlseqdt0(sz0z00,sdtasdt0(X66,X67))|(~sdtlseqdt0(sz0z00,X67)|~sdtlseqdt0(sz0z00,X66))|(~aScalar0(X66)|~aScalar0(X67)))), inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[mPosMon])])])). 7.97/8.34 cnf(c_0_64, plain, (sdtlseqdt0(sz0z00,sdtasasdt0(X1,X1))|~aVector0(X1)), inference(split_conjunct,[status(thm)],[c_0_57])). 7.97/8.34 cnf(c_0_65, hypothesis, (sdtasasdt0(xp,xp)=xC), inference(split_conjunct,[status(thm)],[m__1783])). 7.97/8.34 cnf(c_0_66, hypothesis, (aVector0(xp)), inference(split_conjunct,[status(thm)],[c_0_58])). 7.97/8.34 fof(c_0_67, plain, ![X41]:(~aScalar0(X41)|sdtlseqdt0(sz0z00,sdtasdt0(X41,X41))), inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[mSqPos])])). 7.97/8.34 cnf(c_0_68, plain, (sdtpldt0(X1,smndt0(X1))=sz0z00|~aScalar0(X1)), inference(split_conjunct,[status(thm)],[c_0_54])). 7.97/8.34 cnf(c_0_69, hypothesis, (smndt0(smndt0(xS))=xS), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_59, c_0_60]), c_0_50]), c_0_42])])). 7.97/8.34 cnf(c_0_70, hypothesis, (aScalar0(smndt0(xS))), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_61, c_0_45]), c_0_43])])). 7.97/8.34 cnf(c_0_71, plain, (sz0z00=smndt0(sz0z00)|~aScalar0(X1)), inference(split_conjunct,[status(thm)],[c_0_54])). 7.97/8.34 cnf(c_0_72, plain, (aScalar0(sdtasasdt0(X1,X1))|~aVector0(X1)), inference(er,[status(thm)],[c_0_62])). 7.97/8.34 cnf(c_0_73, plain, (sdtlseqdt0(sz0z00,sdtasdt0(X1,X2))|~sdtlseqdt0(sz0z00,X2)|~sdtlseqdt0(sz0z00,X1)|~aScalar0(X1)|~aScalar0(X2)), inference(split_conjunct,[status(thm)],[c_0_63])). 7.97/8.34 cnf(c_0_74, hypothesis, (sdtlseqdt0(sz0z00,xC)), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_64, c_0_65]), c_0_66])])). 7.97/8.34 cnf(c_0_75, hypothesis, (aScalar0(xC)), inference(split_conjunct,[status(thm)],[m__1783])). 7.97/8.34 cnf(c_0_76, plain, (sdtlseqdt0(sz0z00,sdtasdt0(X1,X1))|~aScalar0(X1)), inference(split_conjunct,[status(thm)],[c_0_67])). 7.97/8.34 cnf(c_0_77, hypothesis, (xG=sdtasdt0(xB,xB)), inference(split_conjunct,[status(thm)],[m__1854])). 7.97/8.34 fof(c_0_78, hypothesis, ![X76]:(((szszuzczcdt0(aDimensionOf0(xq))=aDimensionOf0(xt)&sziznziztdt0(xt)=xq)&(~aNaturalNumber0(X76)|sdtlbdtrb0(xt,X76)=sdtlbdtrb0(xq,X76)))&aVector0(xq)), inference(shift_quantors,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(fof_simplification,[status(thm)],[m__1726])])])])])])). 7.97/8.34 cnf(c_0_79, plain, (sdtpldt0(X1,sdtpldt0(X2,X3))=sdtpldt0(sdtpldt0(X1,X2),X3)|~aScalar0(X2)|~aScalar0(X3)|~aScalar0(X1)), inference(split_conjunct,[status(thm)],[c_0_36])). 7.97/8.34 cnf(c_0_80, hypothesis, (sdtpldt0(smndt0(xS),xS)=sz0z00), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_68, c_0_69]), c_0_70])])). 7.97/8.34 cnf(c_0_81, hypothesis, (aScalar0(xS)), inference(split_conjunct,[status(thm)],[m__1930])). 7.97/8.34 cnf(c_0_82, plain, (sdtasdt0(X1,sdtasdt0(X2,X3))=sdtasdt0(sdtasdt0(X1,X2),X3)|~aScalar0(X2)|~aScalar0(X3)|~aScalar0(X1)), inference(split_conjunct,[status(thm)],[c_0_36])). 7.97/8.34 cnf(c_0_83, plain, (smndt0(sz0z00)=sz0z00|~aVector0(X1)), inference(spm,[status(thm)],[c_0_71, c_0_72])). 7.97/8.34 cnf(c_0_84, hypothesis, (aVector0(xt)), inference(split_conjunct,[status(thm)],[m__1678])). 7.97/8.34 cnf(c_0_85, hypothesis, (sdtlseqdt0(sz0z00,sdtasdt0(X1,xC))|~sdtlseqdt0(sz0z00,X1)|~aScalar0(X1)), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_73, c_0_74]), c_0_75])])). 7.97/8.34 cnf(c_0_86, hypothesis, (sdtlseqdt0(sz0z00,xG)), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_76, c_0_77]), c_0_34])])). 7.97/8.34 cnf(c_0_87, hypothesis, (aScalar0(xG)), inference(split_conjunct,[status(thm)],[m__1854])). 7.97/8.34 cnf(c_0_88, hypothesis, (aDimensionOf0(xs)=aDimensionOf0(xt)), inference(split_conjunct,[status(thm)],[m__1678_01])). 7.97/8.34 cnf(c_0_89, hypothesis, (xD=sdtasasdt0(xq,xq)), inference(split_conjunct,[status(thm)],[m__1800])). 7.97/8.34 cnf(c_0_90, hypothesis, (aVector0(xq)), inference(split_conjunct,[status(thm)],[c_0_78])). 7.97/8.34 fof(c_0_91, plain, ![X22, X23, X24, X25]:(~aScalar0(X25)|~aScalar0(X24)|~aScalar0(X23)|~aScalar0(X22)|(~sdtlseqdt0(X22,X23)|~sdtlseqdt0(X24,X25)|sdtlseqdt0(sdtpldt0(X22,X24),sdtpldt0(X23,X25)))), inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(fof_simplification,[status(thm)],[mLEMon])])])). 7.97/8.34 fof(c_0_92, plain, ![X48]:(~aScalar0(X48)|sdtlseqdt0(X48,X48)), inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(fof_simplification,[status(thm)],[mLERef])])])). 7.97/8.34 cnf(c_0_93, hypothesis, (sdtpldt0(smndt0(xS),sdtpldt0(xS,X1))=sdtpldt0(sz0z00,X1)|~aScalar0(X1)), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_79, c_0_80]), c_0_81]), c_0_70])])). 7.97/8.34 cnf(c_0_94, hypothesis, (sdtasdt0(xD,sdtasdt0(xF,X1))=sdtasdt0(xS,X1)|~aScalar0(X1)), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_82, c_0_50]), c_0_42]), c_0_43])])). 7.97/8.34 cnf(c_0_95, plain, (smndt0(sdtasdt0(X1,smndt0(X2)))=sdtasdt0(X1,X2)|~aScalar0(sdtasdt0(X1,X2))|~aScalar0(X2)|~aScalar0(X1)), inference(spm,[status(thm)],[c_0_60, c_0_32])). 7.97/8.34 cnf(c_0_96, plain, (sdtasdt0(X1,sz0z00)=sz0z00|~aScalar0(X1)), inference(split_conjunct,[status(thm)],[c_0_54])). 7.97/8.34 cnf(c_0_97, hypothesis, (smndt0(sz0z00)=sz0z00), inference(spm,[status(thm)],[c_0_83, c_0_84])). 7.97/8.34 cnf(c_0_98, plain, (aScalar0(sz0z00)), inference(split_conjunct,[status(thm)],[mSZeroSc])). 7.97/8.34 cnf(c_0_99, hypothesis, (sdtasdt0(xB,smndt0(xB))=smndt0(xG)), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_32, c_0_77]), c_0_34])])). 7.97/8.34 cnf(c_0_100, hypothesis, (sdtlseqdt0(sz0z00,sdtasdt0(xG,xC))), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_85, c_0_86]), c_0_87])])). 7.97/8.34 cnf(c_0_101, hypothesis, (xR=sdtasdt0(xC,xG)), inference(split_conjunct,[status(thm)],[m__1892])). 7.97/8.34 cnf(c_0_102, hypothesis, (aScalar0(sdtasasdt0(xt,X1))|aDimensionOf0(X1)!=aDimensionOf0(xs)|~aVector0(X1)), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_62, c_0_88]), c_0_84])])). 7.97/8.34 cnf(c_0_103, hypothesis, (sdtlseqdt0(sz0z00,xD)), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_64, c_0_89]), c_0_90])])). 7.97/8.34 cnf(c_0_104, plain, (sdtlseqdt0(sdtpldt0(X4,X2),sdtpldt0(X3,X1))|~aScalar0(X1)|~aScalar0(X2)|~aScalar0(X3)|~aScalar0(X4)|~sdtlseqdt0(X4,X3)|~sdtlseqdt0(X2,X1)), inference(split_conjunct,[status(thm)],[c_0_91])). 7.97/8.34 cnf(c_0_105, plain, (sdtlseqdt0(X1,X1)|~aScalar0(X1)), inference(split_conjunct,[status(thm)],[c_0_92])). 7.97/8.34 cnf(c_0_106, plain, (X1=sdtpldt0(X1,sz0z00)|~aScalar0(X1)), inference(split_conjunct,[status(thm)],[c_0_54])). 7.97/8.34 cnf(c_0_107, hypothesis, (sdtpldt0(smndt0(xS),sz0z00)=sdtpldt0(sz0z00,smndt0(xS))), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_93, c_0_68]), c_0_70]), c_0_81])])). 7.97/8.34 cnf(c_0_108, hypothesis, (sdtasdt0(xD,xS)=sdtasdt0(xS,xD)), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_94, c_0_40]), c_0_43])])). 7.97/8.34 cnf(c_0_109, hypothesis, (smndt0(xN)=sdtasdt0(smndt0(xS),xR)), inference(split_conjunct,[status(thm)],[m__2144])). 7.97/8.34 cnf(c_0_110, hypothesis, (aScalar0(xR)), inference(split_conjunct,[status(thm)],[m__1892])). 7.97/8.34 cnf(c_0_111, plain, (smndt0(sdtasdt0(X1,X2))=sdtasdt0(smndt0(X1),X2)|~aScalar0(X2)|~aScalar0(X1)), inference(split_conjunct,[status(thm)],[c_0_30])). 7.97/8.34 cnf(c_0_112, plain, (smndt0(sdtasdt0(X1,sz0z00))=sz0z00|~aScalar0(X1)), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_95, c_0_96]), c_0_97]), c_0_98])])). 7.97/8.34 cnf(c_0_113, hypothesis, (aScalar0(smndt0(xG))|~aScalar0(smndt0(xB))), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_37, c_0_99]), c_0_34])])). 7.97/8.34 cnf(c_0_114, hypothesis, (xN=sdtasdt0(xR,xS)), inference(split_conjunct,[status(thm)],[m__1949])). 7.97/8.34 fof(c_0_115, plain, ![X42, X43, X44, X45]:(~aScalar0(X45)|~aScalar0(X44)|~aScalar0(X43)|~aScalar0(X42)|(~sdtlseqdt0(X42,X43)|~sdtlseqdt0(X44,X45)|~sdtlseqdt0(sz0z00,X44)|sdtlseqdt0(sdtasdt0(X42,X44),sdtasdt0(X43,X45)))), inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(fof_simplification,[status(thm)],[mLEMonM])])])). 7.97/8.34 cnf(c_0_116, hypothesis, (sdtlseqdt0(sz0z00,xR)|~aScalar0(X1)), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_100, c_0_41]), c_0_101]), c_0_75]), c_0_87])])). 7.97/8.34 cnf(c_0_117, hypothesis, (aScalar0(sdtasasdt0(xt,xt))), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_102, c_0_88]), c_0_84])])). 7.97/8.34 cnf(c_0_118, hypothesis, (sdtlseqdt0(sz0z00,sdtasdt0(X1,xD))|~sdtlseqdt0(sz0z00,X1)|~aScalar0(X1)), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_73, c_0_103]), c_0_43])])). 7.97/8.34 cnf(c_0_119, hypothesis, (sdtlseqdt0(sz0z00,xF)), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_76, c_0_46]), c_0_35])])). 7.97/8.34 cnf(c_0_120, plain, (sdtlseqdt0(sdtpldt0(X1,X2),sdtpldt0(X1,X3))|~sdtlseqdt0(X2,X3)|~aScalar0(X1)|~aScalar0(X2)|~aScalar0(X3)), inference(spm,[status(thm)],[c_0_104, c_0_105])). 7.97/8.34 cnf(c_0_121, hypothesis, (sdtpldt0(sz0z00,smndt0(xS))=smndt0(xS)), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_106, c_0_107]), c_0_70])])). 7.97/8.34 cnf(c_0_122, hypothesis, (smndt0(sdtasdt0(xS,xD))=sdtasdt0(xD,smndt0(xS))), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_32, c_0_108]), c_0_81]), c_0_43])])). 7.97/8.34 cnf(c_0_123, hypothesis, (aScalar0(smndt0(xN))|~aScalar0(smndt0(xS))), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_37, c_0_109]), c_0_110])])). 7.97/8.34 cnf(c_0_124, plain, (sdtasdt0(smndt0(X1),sz0z00)=sz0z00|~aScalar0(X1)), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_111, c_0_112]), c_0_98])])). 7.97/8.34 cnf(c_0_125, hypothesis, (smndt0(smndt0(xF))=xF), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_95, c_0_46]), c_0_49]), c_0_42]), c_0_35])])). 7.97/8.34 cnf(c_0_126, plain, (aScalar0(sdtasdt0(X1,smndt0(X2)))|~aScalar0(sdtasdt0(X1,X2))|~aScalar0(X2)|~aScalar0(X1)), inference(spm,[status(thm)],[c_0_45, c_0_32])). 7.97/8.34 cnf(c_0_127, hypothesis, (sdtasdt0(xC,smndt0(xG))=smndt0(xR)), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_32, c_0_101]), c_0_87]), c_0_75])])). 7.97/8.34 cnf(c_0_128, hypothesis, (aScalar0(smndt0(xG))), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_113, c_0_45]), c_0_34])])). 7.97/8.34 cnf(c_0_129, hypothesis, (sdtasdt0(xS,xR)=xN|~aScalar0(X1)), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_114, c_0_41]), c_0_110]), c_0_81])])). 7.97/8.34 cnf(c_0_130, plain, (sdtlseqdt0(sdtasdt0(X4,X2),sdtasdt0(X3,X1))|~aScalar0(X1)|~aScalar0(X2)|~aScalar0(X3)|~aScalar0(X4)|~sdtlseqdt0(X4,X3)|~sdtlseqdt0(X2,X1)|~sdtlseqdt0(sz0z00,X2)), inference(split_conjunct,[status(thm)],[c_0_115])). 7.97/8.34 cnf(c_0_131, hypothesis, (sdtlseqdt0(sz0z00,xR)), inference(spm,[status(thm)],[c_0_116, c_0_117])). 7.97/8.34 cnf(c_0_132, hypothesis, (sdtlseqdt0(sz0z00,xS)), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_118, c_0_119]), c_0_40]), c_0_42])])). 7.97/8.34 cnf(c_0_133, plain, (sdtlseqdt0(sdtpldt0(X1,X2),sdtpldt0(X1,X2))|~aScalar0(X1)|~aScalar0(X2)), inference(spm,[status(thm)],[c_0_120, c_0_105])). 7.97/8.34 cnf(c_0_134, hypothesis, (sdtpldt0(smndt0(xS),sz0z00)=smndt0(xS)), inference(rw,[status(thm)],[c_0_107, c_0_121])). 7.97/8.34 cnf(c_0_135, plain, (sz0z00=sdtpldt0(smndt0(X1),X1)|~aScalar0(X1)), inference(split_conjunct,[status(thm)],[c_0_54])). 7.97/8.34 cnf(c_0_136, plain, (sdtasdt0(sz0z00,X1)=sz0z00|~aScalar0(X1)), inference(split_conjunct,[status(thm)],[c_0_54])). 7.97/8.34 cnf(c_0_137, hypothesis, (sdtasdt0(xD,smndt0(xS))=sdtasdt0(xS,smndt0(xD))), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_32, c_0_122]), c_0_43]), c_0_81])])). 7.97/8.34 cnf(c_0_138, hypothesis, (aScalar0(smndt0(xN))), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_123, c_0_45]), c_0_81])])). 7.97/8.34 cnf(c_0_139, plain, (sdtasdt0(X1,sdtasdt0(X2,sz0z00))=sz0z00|~aScalar0(sdtasdt0(X1,X2))|~aScalar0(X2)|~aScalar0(X1)), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_96, c_0_82]), c_0_98])])). 7.97/8.34 cnf(c_0_140, hypothesis, (sdtasdt0(xF,sz0z00)=sz0z00), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_124, c_0_125]), c_0_53])])). 7.97/8.34 cnf(c_0_141, plain, (aScalar0(sdtasdt0(X1,smndt0(X2)))|~aScalar0(X2)|~aScalar0(X1)), inference(spm,[status(thm)],[c_0_126, c_0_37])). 7.97/8.34 cnf(c_0_142, hypothesis, (smndt0(smndt0(xR))=xR), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_95, c_0_101]), c_0_127]), c_0_110]), c_0_87]), c_0_75])])). 7.97/8.34 cnf(c_0_143, hypothesis, (aScalar0(smndt0(xR))), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_37, c_0_127]), c_0_75])]), c_0_128])])). 7.97/8.34 cnf(c_0_144, hypothesis, (sdtasdt0(xS,xR)=xN), inference(spm,[status(thm)],[c_0_129, c_0_48])). 7.97/8.34 cnf(c_0_145, hypothesis, (sdtlseqdt0(sdtasdt0(X1,xR),sdtasdt0(X2,X3))|~sdtlseqdt0(xR,X3)|~sdtlseqdt0(X1,X2)|~aScalar0(X1)|~aScalar0(X2)|~aScalar0(X3)), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_130, c_0_131]), c_0_110])])). 7.97/8.34 cnf(c_0_146, hypothesis, (sdtlseqdt0(sdtpldt0(sz0z00,X1),sdtpldt0(xS,X2))|~sdtlseqdt0(X1,X2)|~aScalar0(X1)|~aScalar0(X2)), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_104, c_0_132]), c_0_98]), c_0_81])])). 7.97/8.34 cnf(c_0_147, hypothesis, (sdtlseqdt0(smndt0(xS),smndt0(xS))), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_133, c_0_134]), c_0_70]), c_0_98])])). 7.97/8.34 cnf(c_0_148, hypothesis, (sdtpldt0(xS,smndt0(xS))=sz0z00), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_135, c_0_69]), c_0_70])])). 7.97/8.34 cnf(c_0_149, plain, (sdtasdt0(sz0z00,smndt0(X1))=sz0z00|~aScalar0(X1)), inference(rw,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_32, c_0_136]), c_0_98])]), c_0_97])). 7.97/8.34 cnf(c_0_150, plain, (sdtlseqdt0(sdtasdt0(X1,sz0z00),sdtasdt0(X2,X3))|~sdtlseqdt0(sz0z00,X3)|~sdtlseqdt0(X1,X2)|~aScalar0(X1)|~aScalar0(X2)|~aScalar0(X3)), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_130, c_0_105]), c_0_98])])). 7.97/8.34 cnf(c_0_151, hypothesis, (sdtasdt0(xS,sz0z00)=sz0z00), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_124, c_0_69]), c_0_70])])). 7.97/8.34 cnf(c_0_152, hypothesis, (sdtlseqdt0(sdtasdt0(X1,xD),sdtasdt0(X2,X3))|~sdtlseqdt0(xD,X3)|~sdtlseqdt0(X1,X2)|~aScalar0(X1)|~aScalar0(X2)|~aScalar0(X3)), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_130, c_0_103]), c_0_43])])). 7.97/8.34 cnf(c_0_153, hypothesis, (smndt0(sdtasdt0(xS,xD))=sdtasdt0(xS,smndt0(xD))), inference(rw,[status(thm)],[c_0_122, c_0_137])). 7.97/8.34 cnf(c_0_154, hypothesis, (sdtasdt0(X1,X2)=sdtasdt0(X2,X1)|~aScalar0(X2)|~aScalar0(X1)), inference(spm,[status(thm)],[c_0_41, c_0_138])). 7.97/8.34 cnf(c_0_155, hypothesis, (sdtasdt0(xD,sz0z00)=sz0z00), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_139, c_0_50]), c_0_140]), c_0_81]), c_0_42]), c_0_43])])). 7.97/8.34 cnf(c_0_156, hypothesis, (aScalar0(sdtasdt0(xS,xD))), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_37, c_0_108]), c_0_43]), c_0_81])])). 7.97/8.34 cnf(c_0_157, plain, (aScalar0(sdtasdt0(smndt0(X1),X2))|~aScalar0(sdtasdt0(X1,X2))|~aScalar0(X2)|~aScalar0(X1)), inference(spm,[status(thm)],[c_0_45, c_0_111])). 7.97/8.34 cnf(c_0_158, hypothesis, (aScalar0(sdtasdt0(X1,xR))|~aScalar0(X1)), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_141, c_0_142]), c_0_143])])). 7.97/8.34 cnf(c_0_159, hypothesis, (sdtasdt0(xS,smndt0(xR))=smndt0(xN)), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_32, c_0_144]), c_0_110]), c_0_81])])). 7.97/8.34 fof(c_0_160, plain, ![X77, X78]:(~aScalar0(X77)|~aScalar0(X78)|(~sdtlseqdt0(X77,X78)|~sdtlseqdt0(X78,X77)|X78=X77)), inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(fof_simplification,[status(thm)],[mLEASm])])])). 7.97/8.34 cnf(c_0_161, hypothesis, (sdtlseqdt0(sdtasdt0(X1,xR),sdtasdt0(X2,xR))|~sdtlseqdt0(X1,X2)|~aScalar0(X1)|~aScalar0(X2)), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_145, c_0_105]), c_0_110])])). 7.97/8.34 cnf(c_0_162, hypothesis, (sdtlseqdt0(smndt0(xS),sz0z00)), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_146, c_0_147]), c_0_121]), c_0_148]), c_0_70])])). 7.97/8.34 cnf(c_0_163, hypothesis, (sdtasdt0(sz0z00,xR)=sz0z00), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_149, c_0_142]), c_0_143])])). 7.97/8.34 cnf(c_0_164, hypothesis, (sdtlseqdt0(sdtasdt0(X1,sz0z00),sdtasdt0(X2,xR))|~sdtlseqdt0(X1,X2)|~aScalar0(X1)|~aScalar0(X2)), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_150, c_0_131]), c_0_110])])). 7.97/8.34 cnf(c_0_165, hypothesis, (sdtasdt0(smndt0(xS),sz0z00)=sz0z00), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_111, c_0_151]), c_0_97]), c_0_98]), c_0_81])])). 7.97/8.34 cnf(c_0_166, hypothesis, (sdtlseqdt0(sdtasdt0(X1,xD),sdtasdt0(X2,xD))|~sdtlseqdt0(X1,X2)|~aScalar0(X1)|~aScalar0(X2)), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_152, c_0_105]), c_0_43])])). 7.97/8.34 cnf(c_0_167, hypothesis, (sdtasdt0(smndt0(xS),xD)=sdtasdt0(xS,smndt0(xD))), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_111, c_0_153]), c_0_43]), c_0_81])])). 7.97/8.34 cnf(c_0_168, hypothesis, (sdtasdt0(sz0z00,xD)=sz0z00), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_154, c_0_155]), c_0_98]), c_0_43])])). 7.97/8.34 cnf(c_0_169, hypothesis, (sdtlseqdt0(sdtasdt0(X1,sz0z00),sdtasdt0(X2,xD))|~sdtlseqdt0(X1,X2)|~aScalar0(X1)|~aScalar0(X2)), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_150, c_0_103]), c_0_43])])). 7.97/8.34 cnf(c_0_170, hypothesis, (aScalar0(sdtasdt0(xD,smndt0(xS)))), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_45, c_0_122]), c_0_156])])). 7.97/8.34 cnf(c_0_171, hypothesis, (aScalar0(sdtasdt0(smndt0(X1),xR))|~aScalar0(X1)), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_157, c_0_158]), c_0_110])])). 7.97/8.34 fof(c_0_172, negated_conjecture, ~(sdtlseqdt0(sdtpldt0(xN,xN),sdtpldt0(sdtasdt0(xR,xR),sdtasdt0(xS,xS)))), inference(assume_negation,[status(cth)],[m__])). 7.97/8.34 cnf(c_0_173, hypothesis, (sdtasdt0(xS,smndt0(smndt0(xR)))=smndt0(smndt0(xN))), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_32, c_0_159]), c_0_143]), c_0_81])])). 7.97/8.34 cnf(c_0_174, plain, (X2=X1|~aScalar0(X1)|~aScalar0(X2)|~sdtlseqdt0(X1,X2)|~sdtlseqdt0(X2,X1)), inference(split_conjunct,[status(thm)],[c_0_160])). 7.97/8.34 cnf(c_0_175, hypothesis, (sdtlseqdt0(smndt0(xN),sz0z00)), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_161, c_0_162]), c_0_109]), c_0_163]), c_0_70]), c_0_98])])). 7.97/8.34 cnf(c_0_176, hypothesis, (sdtlseqdt0(sz0z00,smndt0(xN))), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_164, c_0_147]), c_0_165]), c_0_109]), c_0_70])])). 7.97/8.34 cnf(c_0_177, hypothesis, (sdtlseqdt0(sdtasdt0(xS,smndt0(xD)),sz0z00)), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_166, c_0_162]), c_0_167]), c_0_168]), c_0_70]), c_0_98])])). 7.97/8.34 cnf(c_0_178, hypothesis, (sdtlseqdt0(sz0z00,sdtasdt0(xS,smndt0(xD)))), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_169, c_0_147]), c_0_165]), c_0_167]), c_0_70])])). 7.97/8.34 cnf(c_0_179, hypothesis, (aScalar0(sdtasdt0(xS,smndt0(xD)))), inference(rw,[status(thm)],[c_0_170, c_0_137])). 7.97/8.34 cnf(c_0_180, plain, (sdtlseqdt0(sz0z00,sdtpldt0(X1,X2))|~sdtlseqdt0(sz0z00,X2)|~sdtlseqdt0(sz0z00,X1)|~aScalar0(X1)|~aScalar0(X2)), inference(split_conjunct,[status(thm)],[c_0_63])). 7.97/8.34 cnf(c_0_181, hypothesis, (aScalar0(sdtasdt0(xR,xR))), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_171, c_0_142]), c_0_143])])). 7.97/8.34 fof(c_0_182, negated_conjecture, ~sdtlseqdt0(sdtpldt0(xN,xN),sdtpldt0(sdtasdt0(xR,xR),sdtasdt0(xS,xS))), inference(fof_simplification,[status(thm)],[c_0_172])). 7.97/8.34 cnf(c_0_183, hypothesis, (smndt0(smndt0(xN))=xN), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_173, c_0_60]), c_0_144]), c_0_110])])). 7.97/8.34 cnf(c_0_184, hypothesis, (smndt0(xN)=sz0z00), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_174, c_0_175]), c_0_176]), c_0_138]), c_0_98])])). 7.97/8.34 cnf(c_0_185, hypothesis, (sdtasdt0(xF,sdtasdt0(xD,X1))=sdtasdt0(xS,X1)|~aScalar0(X1)), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_82, c_0_40]), c_0_43]), c_0_42])])). 7.97/8.34 cnf(c_0_186, hypothesis, (smndt0(sdtasdt0(xS,smndt0(xD)))=sdtasdt0(xS,xD)), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_95, c_0_156]), c_0_43]), c_0_81])])). 7.97/8.34 cnf(c_0_187, hypothesis, (sdtasdt0(xS,smndt0(xD))=sz0z00), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_174, c_0_177]), c_0_178]), c_0_179]), c_0_98])])). 7.97/8.34 cnf(c_0_188, plain, (sdtlseqdt0(sz0z00,sdtpldt0(X1,sz0z00))|~sdtlseqdt0(sz0z00,X1)|~aScalar0(X1)), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_180, c_0_105]), c_0_98])])). 7.97/8.34 cnf(c_0_189, hypothesis, (smndt0(sdtasdt0(xR,smndt0(xR)))=sdtasdt0(xR,xR)), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_95, c_0_181]), c_0_110])])). 7.97/8.34 cnf(c_0_190, negated_conjecture, (~sdtlseqdt0(sdtpldt0(xN,xN),sdtpldt0(sdtasdt0(xR,xR),sdtasdt0(xS,xS)))), inference(split_conjunct,[status(thm)],[c_0_182])). 7.97/8.34 cnf(c_0_191, hypothesis, (xN=sz0z00), inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_183, c_0_184]), c_0_97])). 7.97/8.34 cnf(c_0_192, hypothesis, (sdtpldt0(sz0z00,sz0z00)=sz0z00), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_135, c_0_97]), c_0_98])])). 7.97/8.34 cnf(c_0_193, hypothesis, (sdtasdt0(xF,sdtasdt0(xS,xD))=sdtasdt0(xS,xS)), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_185, c_0_108]), c_0_81])])). 7.97/8.34 cnf(c_0_194, hypothesis, (sdtasdt0(xS,xD)=sz0z00), inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_186, c_0_187]), c_0_97])). 7.97/8.34 cnf(c_0_195, plain, (sdtlseqdt0(sz0z00,sdtpldt0(sdtasdt0(X1,X1),sz0z00))|~aScalar0(sdtasdt0(X1,X1))|~aScalar0(X1)), inference(spm,[status(thm)],[c_0_188, c_0_76])). 7.97/8.34 cnf(c_0_196, hypothesis, (sdtasdt0(smndt0(xR),smndt0(xR))=sdtasdt0(xR,xR)), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_111, c_0_189]), c_0_143]), c_0_110])])). 7.97/8.34 cnf(c_0_197, negated_conjecture, (~sdtlseqdt0(sz0z00,sdtpldt0(sdtasdt0(xR,xR),sdtasdt0(xS,xS)))), inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_190, c_0_191]), c_0_191]), c_0_192])). 7.97/8.34 cnf(c_0_198, hypothesis, (sdtasdt0(xS,xS)=sz0z00), inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_193, c_0_194]), c_0_140])). 7.97/8.34 cnf(c_0_199, hypothesis, (sdtlseqdt0(sz0z00,sdtpldt0(sdtasdt0(xR,xR),sz0z00))), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_195, c_0_196]), c_0_181]), c_0_143])])). 7.97/8.34 cnf(c_0_200, negated_conjecture, ($false), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_197, c_0_198]), c_0_199])]), ['proof']). 7.97/8.34 # SZS output end CNFRefutation 7.97/8.34 # Proof object total steps : 201 7.97/8.34 # Proof object clause steps : 154 7.97/8.34 # Proof object formula steps : 47 7.97/8.34 # Proof object conjectures : 6 7.97/8.34 # Proof object clause conjectures : 3 7.97/8.34 # Proof object formula conjectures : 3 7.97/8.34 # Proof object initial clauses used : 46 7.97/8.34 # Proof object initial formulas used : 30 7.97/8.34 # Proof object generating inferences : 100 7.97/8.34 # Proof object simplifying inferences : 245 7.97/8.34 # Training examples: 0 positive, 0 negative 7.97/8.34 # Parsed axioms : 64 7.97/8.34 # Removed by relevancy pruning/SinE : 0 7.97/8.34 # Initial clauses : 104 7.97/8.34 # Removed in clause preprocessing : 5 7.97/8.34 # Initial clauses in saturation : 99 7.97/8.34 # Processed clauses : 22092 7.97/8.34 # ...of these trivial : 5894 7.97/8.34 # ...subsumed : 6235 7.97/8.34 # ...remaining for further processing : 9963 7.97/8.34 # Other redundant clauses eliminated : 6 7.97/8.34 # Clauses deleted for lack of memory : 0 7.97/8.34 # Backward-subsumed : 261 7.97/8.34 # Backward-rewritten : 3735 7.97/8.34 # Generated clauses : 825759 7.97/8.34 # ...of the previous two non-trivial : 722427 7.97/8.34 # Contextual simplify-reflections : 0 7.97/8.34 # Paramodulations : 825731 7.97/8.34 # Factorizations : 4 7.97/8.34 # Equation resolutions : 24 7.97/8.34 # Propositional unsat checks : 0 7.97/8.34 # Propositional check models : 0 7.97/8.34 # Propositional check unsatisfiable : 0 7.97/8.34 # Propositional clauses : 0 7.97/8.34 # Propositional clauses after purity: 0 7.97/8.34 # Propositional unsat core size : 0 7.97/8.34 # Current number of processed clauses : 5964 7.97/8.34 # Positive orientable unit clauses : 3792 7.97/8.34 # Positive unorientable unit clauses: 0 7.97/8.34 # Negative unit clauses : 1 7.97/8.34 # Non-unit-clauses : 2171 7.97/8.34 # Current number of unprocessed clauses: 389346 7.97/8.34 # ...number of literals in the above : 1007971 7.97/8.34 # Current number of archived formulas : 0 7.97/8.34 # Current number of archived clauses : 3996 7.97/8.34 # Clause-clause subsumption calls (NU) : 336828 7.97/8.34 # Rec. Clause-clause subsumption calls : 299060 7.97/8.34 # Non-unit clause-clause subsumptions : 6383 7.97/8.34 # Unit Clause-clause subsumption calls : 100486 7.97/8.34 # Rewrite failures with RHS unbound : 0 7.97/8.34 # BW rewrite match attempts : 113528 7.97/8.34 # BW rewrite match successes : 722 7.97/8.34 # Condensation attempts : 0 7.97/8.34 # Condensation successes : 0 7.97/8.34 # Termbank termtop insertions : 19337409 7.97/8.34 7.97/8.34 # ------------------------------------------------- 7.97/8.34 # User time : 7.519 s 7.97/8.34 # System time : 0.419 s 7.97/8.34 # Total time : 7.938 s 7.97/8.34 # Maximum resident set size: 1564 pages 7.97/8.34 EOF