%------------------------------------------------------------------------------
% File : SRASS---0.1
% Problem : NUM529+3 : TPTP v5.0.0. Released v4.0.0.
% Transfm : none
% Format : tptp
% Command : SRASS -q2 -a 0 10 10 10 -i3 -n60 %s
% Computer : art01.cs.miami.edu
% Model : i686 i686
% CPU : Intel(R) Pentium(R) 4 CPU 2.80GHz @ 2793MHz
% Memory : 2018MB
% OS : Linux 2.6.26.8-57.fc8
% CPULimit : 300s
% DateTime : Wed Dec 29 19:55:53 EST 2010
% Result : Theorem 9.42s
% Output : Solution 9.42s
% Verified :
% SZS Type : None (Parsing solution fails)
% Syntax : Number of formulae : 0
% Comments :
%------------------------------------------------------------------------------
%----ERROR: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% Reading problem from /tmp/SystemOnTPTP17958/NUM529+3.tptp
% Adding relevance values
% Extracting the conjecture
% Sorting axioms by relevance
% Looking for THM ...
% found
% SZS status THM for /tmp/SystemOnTPTP17958/NUM529+3.tptp
% SZS output start Solution for /tmp/SystemOnTPTP17958/NUM529+3.tptp
% TreeLimitedRun: ----------------------------------------------------------
% TreeLimitedRun: /home/graph/tptp/Systems/EP---1.2/eproof --print-statistics -xAuto -tAuto --cpu-limit=60 --proof-time-unlimited --memory-limit=Auto --tstp-in --tstp-out /tmp/SRASS.s.p
% TreeLimitedRun: CPU time limit is 60s
% TreeLimitedRun: WC time limit is 120s
% TreeLimitedRun: PID is 18054
% TreeLimitedRun: ----------------------------------------------------------
% PrfWatch: 0.00 CPU 0.02 WC
% PrfWatch: 1.93 CPU 2.03 WC
% PrfWatch: 3.91 CPU 4.04 WC
% # Preprocessing time : 0.021 s
% # Problem is unsatisfiable (or provable), constructing proof object
% # SZS status Theorem
% PrfWatch: 5.88 CPU 6.04 WC
% PrfWatch: 7.87 CPU 8.05 WC
% # SZS output start CNFRefutation.
% fof(4, axiom,![X1]:![X2]:((aNaturalNumber0(X1)&aNaturalNumber0(X2))=>aNaturalNumber0(sdtasdt0(X1,X2))),file('/tmp/SRASS.s.p', mSortsB_02)).
% fof(11, axiom,![X1]:(aNaturalNumber0(X1)=>(sdtasdt0(X1,sz00)=sz00&sz00=sdtasdt0(sz00,X1))),file('/tmp/SRASS.s.p', m_MulZero)).
% fof(14, axiom,![X1]:(aNaturalNumber0(X1)=>(~(X1=sz00)=>![X2]:![X3]:((aNaturalNumber0(X2)&aNaturalNumber0(X3))=>((sdtasdt0(X1,X2)=sdtasdt0(X1,X3)|sdtasdt0(X2,X1)=sdtasdt0(X3,X1))=>X2=X3)))),file('/tmp/SRASS.s.p', mMulCanc)).
% fof(17, axiom,![X1]:![X2]:((aNaturalNumber0(X1)&aNaturalNumber0(X2))=>(sdtlseqdt0(X1,X2)<=>?[X3]:(aNaturalNumber0(X3)&sdtpldt0(X1,X3)=X2))),file('/tmp/SRASS.s.p', mDefLE)).
% fof(26, axiom,![X1]:![X2]:((aNaturalNumber0(X1)&aNaturalNumber0(X2))=>((~(X1=X2)&sdtlseqdt0(X1,X2))=>iLess0(X1,X2))),file('/tmp/SRASS.s.p', mIH_03)).
% fof(28, axiom,![X1]:![X2]:((aNaturalNumber0(X1)&aNaturalNumber0(X2))=>((~(X1=sz00)&doDivides0(X1,X2))=>![X3]:(X3=sdtsldt0(X2,X1)<=>(aNaturalNumber0(X3)&X2=sdtasdt0(X1,X3))))),file('/tmp/SRASS.s.p', mDefQuot)).
% fof(34, axiom,![X1]:(aNaturalNumber0(X1)=>(isPrime0(X1)<=>((~(X1=sz00)&~(X1=sz10))&![X2]:((aNaturalNumber0(X2)&doDivides0(X2,X1))=>(X2=sz10|X2=X1))))),file('/tmp/SRASS.s.p', mDefPrime)).
% fof(37, axiom,(((((aNaturalNumber0(xn)&aNaturalNumber0(xm))&aNaturalNumber0(xp))&~(xn=sz00))&~(xm=sz00))&~(xp=sz00)),file('/tmp/SRASS.s.p', m__2987)).
% fof(38, axiom,![X1]:![X2]:![X3]:((((((aNaturalNumber0(X1)&aNaturalNumber0(X2))&aNaturalNumber0(X3))&~(X1=sz00))&~(X2=sz00))&~(X3=sz00))=>(sdtasdt0(X3,sdtasdt0(X2,X2))=sdtasdt0(X1,X1)=>(iLess0(X1,xn)=>~(((~(X3=sz10)&![X4]:(((aNaturalNumber0(X4)&?[X5]:(aNaturalNumber0(X5)&X3=sdtasdt0(X4,X5)))&doDivides0(X4,X3))=>(X4=sz10|X4=X3)))|isPrime0(X3)))))),file('/tmp/SRASS.s.p', m__2963)).
% fof(39, axiom,sdtasdt0(xp,sdtasdt0(xm,xm))=sdtasdt0(xn,xn),file('/tmp/SRASS.s.p', m__3014)).
% fof(40, axiom,((~(xp=sz10)&![X1]:((aNaturalNumber0(X1)&(?[X2]:(aNaturalNumber0(X2)&xp=sdtasdt0(X1,X2))|doDivides0(X1,xp)))=>(X1=sz10|X1=xp)))&isPrime0(xp)),file('/tmp/SRASS.s.p', m__3025)).
% fof(41, axiom,(((?[X1]:(aNaturalNumber0(X1)&sdtasdt0(xn,xn)=sdtasdt0(xp,X1))&doDivides0(xp,sdtasdt0(xn,xn)))&?[X1]:(aNaturalNumber0(X1)&xn=sdtasdt0(xp,X1)))&doDivides0(xp,xn)),file('/tmp/SRASS.s.p', m__3046)).
% fof(42, axiom,((aNaturalNumber0(xq)&xn=sdtasdt0(xp,xq))&xq=sdtsldt0(xn,xp)),file('/tmp/SRASS.s.p', m__3059)).
% fof(43, axiom,sdtasdt0(xm,xm)=sdtasdt0(xp,sdtasdt0(xq,xq)),file('/tmp/SRASS.s.p', m__3082)).
% fof(44, axiom,((~(xm=xn)&?[X1]:(aNaturalNumber0(X1)&sdtpldt0(xm,X1)=xn))&sdtlseqdt0(xm,xn)),file('/tmp/SRASS.s.p', m__3124)).
% fof(59, plain,![X1]:![X2]:((~(aNaturalNumber0(X1))|~(aNaturalNumber0(X2)))|aNaturalNumber0(sdtasdt0(X1,X2))),inference(fof_nnf,[status(thm)],[4])).
% fof(60, plain,![X3]:![X4]:((~(aNaturalNumber0(X3))|~(aNaturalNumber0(X4)))|aNaturalNumber0(sdtasdt0(X3,X4))),inference(variable_rename,[status(thm)],[59])).
% cnf(61,plain,(aNaturalNumber0(sdtasdt0(X1,X2))|~aNaturalNumber0(X2)|~aNaturalNumber0(X1)),inference(split_conjunct,[status(thm)],[60])).
% fof(84, plain,![X1]:(~(aNaturalNumber0(X1))|(sdtasdt0(X1,sz00)=sz00&sz00=sdtasdt0(sz00,X1))),inference(fof_nnf,[status(thm)],[11])).
% fof(85, plain,![X2]:(~(aNaturalNumber0(X2))|(sdtasdt0(X2,sz00)=sz00&sz00=sdtasdt0(sz00,X2))),inference(variable_rename,[status(thm)],[84])).
% fof(86, plain,![X2]:((sdtasdt0(X2,sz00)=sz00|~(aNaturalNumber0(X2)))&(sz00=sdtasdt0(sz00,X2)|~(aNaturalNumber0(X2)))),inference(distribute,[status(thm)],[85])).
% cnf(88,plain,(sdtasdt0(X1,sz00)=sz00|~aNaturalNumber0(X1)),inference(split_conjunct,[status(thm)],[86])).
% fof(99, plain,![X1]:(~(aNaturalNumber0(X1))|(X1=sz00|![X2]:![X3]:((~(aNaturalNumber0(X2))|~(aNaturalNumber0(X3)))|((~(sdtasdt0(X1,X2)=sdtasdt0(X1,X3))&~(sdtasdt0(X2,X1)=sdtasdt0(X3,X1)))|X2=X3)))),inference(fof_nnf,[status(thm)],[14])).
% fof(100, plain,![X4]:(~(aNaturalNumber0(X4))|(X4=sz00|![X5]:![X6]:((~(aNaturalNumber0(X5))|~(aNaturalNumber0(X6)))|((~(sdtasdt0(X4,X5)=sdtasdt0(X4,X6))&~(sdtasdt0(X5,X4)=sdtasdt0(X6,X4)))|X5=X6)))),inference(variable_rename,[status(thm)],[99])).
% fof(101, plain,![X4]:![X5]:![X6]:((((~(aNaturalNumber0(X5))|~(aNaturalNumber0(X6)))|((~(sdtasdt0(X4,X5)=sdtasdt0(X4,X6))&~(sdtasdt0(X5,X4)=sdtasdt0(X6,X4)))|X5=X6))|X4=sz00)|~(aNaturalNumber0(X4))),inference(shift_quantors,[status(thm)],[100])).
% fof(102, plain,![X4]:![X5]:![X6]:(((((~(sdtasdt0(X4,X5)=sdtasdt0(X4,X6))|X5=X6)|(~(aNaturalNumber0(X5))|~(aNaturalNumber0(X6))))|X4=sz00)|~(aNaturalNumber0(X4)))&((((~(sdtasdt0(X5,X4)=sdtasdt0(X6,X4))|X5=X6)|(~(aNaturalNumber0(X5))|~(aNaturalNumber0(X6))))|X4=sz00)|~(aNaturalNumber0(X4)))),inference(distribute,[status(thm)],[101])).
% cnf(104,plain,(X1=sz00|X3=X2|~aNaturalNumber0(X1)|~aNaturalNumber0(X2)|~aNaturalNumber0(X3)|sdtasdt0(X1,X3)!=sdtasdt0(X1,X2)),inference(split_conjunct,[status(thm)],[102])).
% fof(113, plain,![X1]:![X2]:((~(aNaturalNumber0(X1))|~(aNaturalNumber0(X2)))|((~(sdtlseqdt0(X1,X2))|?[X3]:(aNaturalNumber0(X3)&sdtpldt0(X1,X3)=X2))&(![X3]:(~(aNaturalNumber0(X3))|~(sdtpldt0(X1,X3)=X2))|sdtlseqdt0(X1,X2)))),inference(fof_nnf,[status(thm)],[17])).
% fof(114, plain,![X4]:![X5]:((~(aNaturalNumber0(X4))|~(aNaturalNumber0(X5)))|((~(sdtlseqdt0(X4,X5))|?[X6]:(aNaturalNumber0(X6)&sdtpldt0(X4,X6)=X5))&(![X7]:(~(aNaturalNumber0(X7))|~(sdtpldt0(X4,X7)=X5))|sdtlseqdt0(X4,X5)))),inference(variable_rename,[status(thm)],[113])).
% fof(115, plain,![X4]:![X5]:((~(aNaturalNumber0(X4))|~(aNaturalNumber0(X5)))|((~(sdtlseqdt0(X4,X5))|(aNaturalNumber0(esk1_2(X4,X5))&sdtpldt0(X4,esk1_2(X4,X5))=X5))&(![X7]:(~(aNaturalNumber0(X7))|~(sdtpldt0(X4,X7)=X5))|sdtlseqdt0(X4,X5)))),inference(skolemize,[status(esa)],[114])).
% fof(116, plain,![X4]:![X5]:![X7]:((((~(aNaturalNumber0(X7))|~(sdtpldt0(X4,X7)=X5))|sdtlseqdt0(X4,X5))&(~(sdtlseqdt0(X4,X5))|(aNaturalNumber0(esk1_2(X4,X5))&sdtpldt0(X4,esk1_2(X4,X5))=X5)))|(~(aNaturalNumber0(X4))|~(aNaturalNumber0(X5)))),inference(shift_quantors,[status(thm)],[115])).
% fof(117, plain,![X4]:![X5]:![X7]:((((~(aNaturalNumber0(X7))|~(sdtpldt0(X4,X7)=X5))|sdtlseqdt0(X4,X5))|(~(aNaturalNumber0(X4))|~(aNaturalNumber0(X5))))&(((aNaturalNumber0(esk1_2(X4,X5))|~(sdtlseqdt0(X4,X5)))|(~(aNaturalNumber0(X4))|~(aNaturalNumber0(X5))))&((sdtpldt0(X4,esk1_2(X4,X5))=X5|~(sdtlseqdt0(X4,X5)))|(~(aNaturalNumber0(X4))|~(aNaturalNumber0(X5)))))),inference(distribute,[status(thm)],[116])).
% cnf(120,plain,(sdtlseqdt0(X2,X1)|~aNaturalNumber0(X1)|~aNaturalNumber0(X2)|sdtpldt0(X2,X3)!=X1|~aNaturalNumber0(X3)),inference(split_conjunct,[status(thm)],[117])).
% fof(158, plain,![X1]:![X2]:((~(aNaturalNumber0(X1))|~(aNaturalNumber0(X2)))|((X1=X2|~(sdtlseqdt0(X1,X2)))|iLess0(X1,X2))),inference(fof_nnf,[status(thm)],[26])).
% fof(159, plain,![X3]:![X4]:((~(aNaturalNumber0(X3))|~(aNaturalNumber0(X4)))|((X3=X4|~(sdtlseqdt0(X3,X4)))|iLess0(X3,X4))),inference(variable_rename,[status(thm)],[158])).
% cnf(160,plain,(iLess0(X1,X2)|X1=X2|~sdtlseqdt0(X1,X2)|~aNaturalNumber0(X2)|~aNaturalNumber0(X1)),inference(split_conjunct,[status(thm)],[159])).
% fof(169, plain,![X1]:![X2]:((~(aNaturalNumber0(X1))|~(aNaturalNumber0(X2)))|((X1=sz00|~(doDivides0(X1,X2)))|![X3]:((~(X3=sdtsldt0(X2,X1))|(aNaturalNumber0(X3)&X2=sdtasdt0(X1,X3)))&((~(aNaturalNumber0(X3))|~(X2=sdtasdt0(X1,X3)))|X3=sdtsldt0(X2,X1))))),inference(fof_nnf,[status(thm)],[28])).
% fof(170, plain,![X4]:![X5]:((~(aNaturalNumber0(X4))|~(aNaturalNumber0(X5)))|((X4=sz00|~(doDivides0(X4,X5)))|![X6]:((~(X6=sdtsldt0(X5,X4))|(aNaturalNumber0(X6)&X5=sdtasdt0(X4,X6)))&((~(aNaturalNumber0(X6))|~(X5=sdtasdt0(X4,X6)))|X6=sdtsldt0(X5,X4))))),inference(variable_rename,[status(thm)],[169])).
% fof(171, plain,![X4]:![X5]:![X6]:((((~(X6=sdtsldt0(X5,X4))|(aNaturalNumber0(X6)&X5=sdtasdt0(X4,X6)))&((~(aNaturalNumber0(X6))|~(X5=sdtasdt0(X4,X6)))|X6=sdtsldt0(X5,X4)))|(X4=sz00|~(doDivides0(X4,X5))))|(~(aNaturalNumber0(X4))|~(aNaturalNumber0(X5)))),inference(shift_quantors,[status(thm)],[170])).
% fof(172, plain,![X4]:![X5]:![X6]:(((((aNaturalNumber0(X6)|~(X6=sdtsldt0(X5,X4)))|(X4=sz00|~(doDivides0(X4,X5))))|(~(aNaturalNumber0(X4))|~(aNaturalNumber0(X5))))&(((X5=sdtasdt0(X4,X6)|~(X6=sdtsldt0(X5,X4)))|(X4=sz00|~(doDivides0(X4,X5))))|(~(aNaturalNumber0(X4))|~(aNaturalNumber0(X5)))))&((((~(aNaturalNumber0(X6))|~(X5=sdtasdt0(X4,X6)))|X6=sdtsldt0(X5,X4))|(X4=sz00|~(doDivides0(X4,X5))))|(~(aNaturalNumber0(X4))|~(aNaturalNumber0(X5))))),inference(distribute,[status(thm)],[171])).
% cnf(174,plain,(X2=sz00|X1=sdtasdt0(X2,X3)|~aNaturalNumber0(X1)|~aNaturalNumber0(X2)|~doDivides0(X2,X1)|X3!=sdtsldt0(X1,X2)),inference(split_conjunct,[status(thm)],[172])).
% fof(192, plain,![X1]:(~(aNaturalNumber0(X1))|((~(isPrime0(X1))|((~(X1=sz00)&~(X1=sz10))&![X2]:((~(aNaturalNumber0(X2))|~(doDivides0(X2,X1)))|(X2=sz10|X2=X1))))&(((X1=sz00|X1=sz10)|?[X2]:((aNaturalNumber0(X2)&doDivides0(X2,X1))&(~(X2=sz10)&~(X2=X1))))|isPrime0(X1)))),inference(fof_nnf,[status(thm)],[34])).
% fof(193, plain,![X3]:(~(aNaturalNumber0(X3))|((~(isPrime0(X3))|((~(X3=sz00)&~(X3=sz10))&![X4]:((~(aNaturalNumber0(X4))|~(doDivides0(X4,X3)))|(X4=sz10|X4=X3))))&(((X3=sz00|X3=sz10)|?[X5]:((aNaturalNumber0(X5)&doDivides0(X5,X3))&(~(X5=sz10)&~(X5=X3))))|isPrime0(X3)))),inference(variable_rename,[status(thm)],[192])).
% fof(194, plain,![X3]:(~(aNaturalNumber0(X3))|((~(isPrime0(X3))|((~(X3=sz00)&~(X3=sz10))&![X4]:((~(aNaturalNumber0(X4))|~(doDivides0(X4,X3)))|(X4=sz10|X4=X3))))&(((X3=sz00|X3=sz10)|((aNaturalNumber0(esk3_1(X3))&doDivides0(esk3_1(X3),X3))&(~(esk3_1(X3)=sz10)&~(esk3_1(X3)=X3))))|isPrime0(X3)))),inference(skolemize,[status(esa)],[193])).
% fof(195, plain,![X3]:![X4]:((((((~(aNaturalNumber0(X4))|~(doDivides0(X4,X3)))|(X4=sz10|X4=X3))&(~(X3=sz00)&~(X3=sz10)))|~(isPrime0(X3)))&(((X3=sz00|X3=sz10)|((aNaturalNumber0(esk3_1(X3))&doDivides0(esk3_1(X3),X3))&(~(esk3_1(X3)=sz10)&~(esk3_1(X3)=X3))))|isPrime0(X3)))|~(aNaturalNumber0(X3))),inference(shift_quantors,[status(thm)],[194])).
% fof(196, plain,![X3]:![X4]:((((((~(aNaturalNumber0(X4))|~(doDivides0(X4,X3)))|(X4=sz10|X4=X3))|~(isPrime0(X3)))|~(aNaturalNumber0(X3)))&(((~(X3=sz00)|~(isPrime0(X3)))|~(aNaturalNumber0(X3)))&((~(X3=sz10)|~(isPrime0(X3)))|~(aNaturalNumber0(X3)))))&(((((aNaturalNumber0(esk3_1(X3))|(X3=sz00|X3=sz10))|isPrime0(X3))|~(aNaturalNumber0(X3)))&(((doDivides0(esk3_1(X3),X3)|(X3=sz00|X3=sz10))|isPrime0(X3))|~(aNaturalNumber0(X3))))&((((~(esk3_1(X3)=sz10)|(X3=sz00|X3=sz10))|isPrime0(X3))|~(aNaturalNumber0(X3)))&(((~(esk3_1(X3)=X3)|(X3=sz00|X3=sz10))|isPrime0(X3))|~(aNaturalNumber0(X3)))))),inference(distribute,[status(thm)],[195])).
% cnf(202,plain,(~aNaturalNumber0(X1)|~isPrime0(X1)|X1!=sz00),inference(split_conjunct,[status(thm)],[196])).
% cnf(214,plain,(xp!=sz00),inference(split_conjunct,[status(thm)],[37])).
% cnf(215,plain,(xm!=sz00),inference(split_conjunct,[status(thm)],[37])).
% cnf(216,plain,(xn!=sz00),inference(split_conjunct,[status(thm)],[37])).
% cnf(217,plain,(aNaturalNumber0(xp)),inference(split_conjunct,[status(thm)],[37])).
% cnf(218,plain,(aNaturalNumber0(xm)),inference(split_conjunct,[status(thm)],[37])).
% cnf(219,plain,(aNaturalNumber0(xn)),inference(split_conjunct,[status(thm)],[37])).
% fof(220, plain,![X1]:![X2]:![X3]:((((((~(aNaturalNumber0(X1))|~(aNaturalNumber0(X2)))|~(aNaturalNumber0(X3)))|X1=sz00)|X2=sz00)|X3=sz00)|(~(sdtasdt0(X3,sdtasdt0(X2,X2))=sdtasdt0(X1,X1))|(~(iLess0(X1,xn))|((X3=sz10|?[X4]:(((aNaturalNumber0(X4)&?[X5]:(aNaturalNumber0(X5)&X3=sdtasdt0(X4,X5)))&doDivides0(X4,X3))&(~(X4=sz10)&~(X4=X3))))&~(isPrime0(X3)))))),inference(fof_nnf,[status(thm)],[38])).
% fof(221, plain,![X6]:![X7]:![X8]:((((((~(aNaturalNumber0(X6))|~(aNaturalNumber0(X7)))|~(aNaturalNumber0(X8)))|X6=sz00)|X7=sz00)|X8=sz00)|(~(sdtasdt0(X8,sdtasdt0(X7,X7))=sdtasdt0(X6,X6))|(~(iLess0(X6,xn))|((X8=sz10|?[X9]:(((aNaturalNumber0(X9)&?[X10]:(aNaturalNumber0(X10)&X8=sdtasdt0(X9,X10)))&doDivides0(X9,X8))&(~(X9=sz10)&~(X9=X8))))&~(isPrime0(X8)))))),inference(variable_rename,[status(thm)],[220])).
% fof(222, plain,![X6]:![X7]:![X8]:((((((~(aNaturalNumber0(X6))|~(aNaturalNumber0(X7)))|~(aNaturalNumber0(X8)))|X6=sz00)|X7=sz00)|X8=sz00)|(~(sdtasdt0(X8,sdtasdt0(X7,X7))=sdtasdt0(X6,X6))|(~(iLess0(X6,xn))|((X8=sz10|(((aNaturalNumber0(esk5_3(X6,X7,X8))&(aNaturalNumber0(esk6_3(X6,X7,X8))&X8=sdtasdt0(esk5_3(X6,X7,X8),esk6_3(X6,X7,X8))))&doDivides0(esk5_3(X6,X7,X8),X8))&(~(esk5_3(X6,X7,X8)=sz10)&~(esk5_3(X6,X7,X8)=X8))))&~(isPrime0(X8)))))),inference(skolemize,[status(esa)],[221])).
% fof(223, plain,![X6]:![X7]:![X8]:((((((((aNaturalNumber0(esk5_3(X6,X7,X8))|X8=sz10)|~(iLess0(X6,xn)))|~(sdtasdt0(X8,sdtasdt0(X7,X7))=sdtasdt0(X6,X6)))|(((((~(aNaturalNumber0(X6))|~(aNaturalNumber0(X7)))|~(aNaturalNumber0(X8)))|X6=sz00)|X7=sz00)|X8=sz00))&(((((aNaturalNumber0(esk6_3(X6,X7,X8))|X8=sz10)|~(iLess0(X6,xn)))|~(sdtasdt0(X8,sdtasdt0(X7,X7))=sdtasdt0(X6,X6)))|(((((~(aNaturalNumber0(X6))|~(aNaturalNumber0(X7)))|~(aNaturalNumber0(X8)))|X6=sz00)|X7=sz00)|X8=sz00))&((((X8=sdtasdt0(esk5_3(X6,X7,X8),esk6_3(X6,X7,X8))|X8=sz10)|~(iLess0(X6,xn)))|~(sdtasdt0(X8,sdtasdt0(X7,X7))=sdtasdt0(X6,X6)))|(((((~(aNaturalNumber0(X6))|~(aNaturalNumber0(X7)))|~(aNaturalNumber0(X8)))|X6=sz00)|X7=sz00)|X8=sz00))))&((((doDivides0(esk5_3(X6,X7,X8),X8)|X8=sz10)|~(iLess0(X6,xn)))|~(sdtasdt0(X8,sdtasdt0(X7,X7))=sdtasdt0(X6,X6)))|(((((~(aNaturalNumber0(X6))|~(aNaturalNumber0(X7)))|~(aNaturalNumber0(X8)))|X6=sz00)|X7=sz00)|X8=sz00)))&(((((~(esk5_3(X6,X7,X8)=sz10)|X8=sz10)|~(iLess0(X6,xn)))|~(sdtasdt0(X8,sdtasdt0(X7,X7))=sdtasdt0(X6,X6)))|(((((~(aNaturalNumber0(X6))|~(aNaturalNumber0(X7)))|~(aNaturalNumber0(X8)))|X6=sz00)|X7=sz00)|X8=sz00))&((((~(esk5_3(X6,X7,X8)=X8)|X8=sz10)|~(iLess0(X6,xn)))|~(sdtasdt0(X8,sdtasdt0(X7,X7))=sdtasdt0(X6,X6)))|(((((~(aNaturalNumber0(X6))|~(aNaturalNumber0(X7)))|~(aNaturalNumber0(X8)))|X6=sz00)|X7=sz00)|X8=sz00))))&(((~(isPrime0(X8))|~(iLess0(X6,xn)))|~(sdtasdt0(X8,sdtasdt0(X7,X7))=sdtasdt0(X6,X6)))|(((((~(aNaturalNumber0(X6))|~(aNaturalNumber0(X7)))|~(aNaturalNumber0(X8)))|X6=sz00)|X7=sz00)|X8=sz00))),inference(distribute,[status(thm)],[222])).
% cnf(224,plain,(X1=sz00|X2=sz00|X3=sz00|~aNaturalNumber0(X1)|~aNaturalNumber0(X2)|~aNaturalNumber0(X3)|sdtasdt0(X1,sdtasdt0(X2,X2))!=sdtasdt0(X3,X3)|~iLess0(X3,xn)|~isPrime0(X1)),inference(split_conjunct,[status(thm)],[223])).
% cnf(231,plain,(sdtasdt0(xp,sdtasdt0(xm,xm))=sdtasdt0(xn,xn)),inference(split_conjunct,[status(thm)],[39])).
% fof(232, plain,((~(xp=sz10)&![X1]:((~(aNaturalNumber0(X1))|(![X2]:(~(aNaturalNumber0(X2))|~(xp=sdtasdt0(X1,X2)))&~(doDivides0(X1,xp))))|(X1=sz10|X1=xp)))&isPrime0(xp)),inference(fof_nnf,[status(thm)],[40])).
% fof(233, plain,((~(xp=sz10)&![X3]:((~(aNaturalNumber0(X3))|(![X4]:(~(aNaturalNumber0(X4))|~(xp=sdtasdt0(X3,X4)))&~(doDivides0(X3,xp))))|(X3=sz10|X3=xp)))&isPrime0(xp)),inference(variable_rename,[status(thm)],[232])).
% fof(234, plain,![X3]:![X4]:((((((~(aNaturalNumber0(X4))|~(xp=sdtasdt0(X3,X4)))&~(doDivides0(X3,xp)))|~(aNaturalNumber0(X3)))|(X3=sz10|X3=xp))&~(xp=sz10))&isPrime0(xp)),inference(shift_quantors,[status(thm)],[233])).
% fof(235, plain,![X3]:![X4]:((((((~(aNaturalNumber0(X4))|~(xp=sdtasdt0(X3,X4)))|~(aNaturalNumber0(X3)))|(X3=sz10|X3=xp))&((~(doDivides0(X3,xp))|~(aNaturalNumber0(X3)))|(X3=sz10|X3=xp)))&~(xp=sz10))&isPrime0(xp)),inference(distribute,[status(thm)],[234])).
% cnf(236,plain,(isPrime0(xp)),inference(split_conjunct,[status(thm)],[235])).
% fof(240, plain,(((?[X2]:(aNaturalNumber0(X2)&sdtasdt0(xn,xn)=sdtasdt0(xp,X2))&doDivides0(xp,sdtasdt0(xn,xn)))&?[X3]:(aNaturalNumber0(X3)&xn=sdtasdt0(xp,X3)))&doDivides0(xp,xn)),inference(variable_rename,[status(thm)],[41])).
% fof(241, plain,((((aNaturalNumber0(esk7_0)&sdtasdt0(xn,xn)=sdtasdt0(xp,esk7_0))&doDivides0(xp,sdtasdt0(xn,xn)))&(aNaturalNumber0(esk8_0)&xn=sdtasdt0(xp,esk8_0)))&doDivides0(xp,xn)),inference(skolemize,[status(esa)],[240])).
% cnf(242,plain,(doDivides0(xp,xn)),inference(split_conjunct,[status(thm)],[241])).
% cnf(246,plain,(sdtasdt0(xn,xn)=sdtasdt0(xp,esk7_0)),inference(split_conjunct,[status(thm)],[241])).
% cnf(247,plain,(aNaturalNumber0(esk7_0)),inference(split_conjunct,[status(thm)],[241])).
% cnf(248,plain,(xq=sdtsldt0(xn,xp)),inference(split_conjunct,[status(thm)],[42])).
% cnf(250,plain,(aNaturalNumber0(xq)),inference(split_conjunct,[status(thm)],[42])).
% cnf(251,plain,(sdtasdt0(xm,xm)=sdtasdt0(xp,sdtasdt0(xq,xq))),inference(split_conjunct,[status(thm)],[43])).
% fof(252, plain,((~(xm=xn)&?[X2]:(aNaturalNumber0(X2)&sdtpldt0(xm,X2)=xn))&sdtlseqdt0(xm,xn)),inference(variable_rename,[status(thm)],[44])).
% fof(253, plain,((~(xm=xn)&(aNaturalNumber0(esk9_0)&sdtpldt0(xm,esk9_0)=xn))&sdtlseqdt0(xm,xn)),inference(skolemize,[status(esa)],[252])).
% cnf(255,plain,(sdtpldt0(xm,esk9_0)=xn),inference(split_conjunct,[status(thm)],[253])).
% cnf(256,plain,(aNaturalNumber0(esk9_0)),inference(split_conjunct,[status(thm)],[253])).
% cnf(257,plain,(xm!=xn),inference(split_conjunct,[status(thm)],[253])).
% cnf(277,plain,(sz00=X3|sz00=X2|sdtasdt0(X1,sdtasdt0(X2,X2))!=sdtasdt0(X3,X3)|~isPrime0(X1)|~iLess0(X3,xn)|~aNaturalNumber0(X3)|~aNaturalNumber0(X2)|~aNaturalNumber0(X1)),inference(csr,[status(thm)],[224,202])).
% cnf(403,plain,(aNaturalNumber0(sdtasdt0(xm,xm))|~aNaturalNumber0(sdtasdt0(xq,xq))|~aNaturalNumber0(xp)),inference(spm,[status(thm)],[61,251,theory(equality)])).
% cnf(406,plain,(aNaturalNumber0(sdtasdt0(xm,xm))|~aNaturalNumber0(sdtasdt0(xq,xq))|$false),inference(rw,[status(thm)],[403,217,theory(equality)])).
% cnf(407,plain,(aNaturalNumber0(sdtasdt0(xm,xm))|~aNaturalNumber0(sdtasdt0(xq,xq))),inference(cn,[status(thm)],[406,theory(equality)])).
% cnf(573,plain,(sdtlseqdt0(xm,X1)|xn!=X1|~aNaturalNumber0(esk9_0)|~aNaturalNumber0(xm)|~aNaturalNumber0(X1)),inference(spm,[status(thm)],[120,255,theory(equality)])).
% cnf(579,plain,(sdtlseqdt0(xm,X1)|xn!=X1|$false|~aNaturalNumber0(xm)|~aNaturalNumber0(X1)),inference(rw,[status(thm)],[573,256,theory(equality)])).
% cnf(580,plain,(sdtlseqdt0(xm,X1)|xn!=X1|$false|$false|~aNaturalNumber0(X1)),inference(rw,[status(thm)],[579,218,theory(equality)])).
% cnf(581,plain,(sdtlseqdt0(xm,X1)|xn!=X1|~aNaturalNumber0(X1)),inference(cn,[status(thm)],[580,theory(equality)])).
% cnf(738,plain,(sz00=xp|X1=esk7_0|sdtasdt0(xp,X1)!=sdtasdt0(xn,xn)|~aNaturalNumber0(esk7_0)|~aNaturalNumber0(X1)|~aNaturalNumber0(xp)),inference(spm,[status(thm)],[104,246,theory(equality)])).
% cnf(763,plain,(sz00=xp|X1=esk7_0|sdtasdt0(xp,X1)!=sdtasdt0(xn,xn)|$false|~aNaturalNumber0(X1)|~aNaturalNumber0(xp)),inference(rw,[status(thm)],[738,247,theory(equality)])).
% cnf(764,plain,(sz00=xp|X1=esk7_0|sdtasdt0(xp,X1)!=sdtasdt0(xn,xn)|$false|~aNaturalNumber0(X1)|$false),inference(rw,[status(thm)],[763,217,theory(equality)])).
% cnf(765,plain,(sz00=xp|X1=esk7_0|sdtasdt0(xp,X1)!=sdtasdt0(xn,xn)|~aNaturalNumber0(X1)),inference(cn,[status(thm)],[764,theory(equality)])).
% cnf(766,plain,(X1=esk7_0|sdtasdt0(xp,X1)!=sdtasdt0(xn,xn)|~aNaturalNumber0(X1)),inference(sr,[status(thm)],[765,214,theory(equality)])).
% cnf(810,plain,(sdtasdt0(xp,X1)=xn|sz00=xp|xq!=X1|~doDivides0(xp,xn)|~aNaturalNumber0(xp)|~aNaturalNumber0(xn)),inference(spm,[status(thm)],[174,248,theory(equality)])).
% cnf(811,plain,(sdtasdt0(xp,X1)=xn|sz00=xp|xq!=X1|$false|~aNaturalNumber0(xp)|~aNaturalNumber0(xn)),inference(rw,[status(thm)],[810,242,theory(equality)])).
% cnf(812,plain,(sdtasdt0(xp,X1)=xn|sz00=xp|xq!=X1|$false|$false|~aNaturalNumber0(xn)),inference(rw,[status(thm)],[811,217,theory(equality)])).
% cnf(813,plain,(sdtasdt0(xp,X1)=xn|sz00=xp|xq!=X1|$false|$false|$false),inference(rw,[status(thm)],[812,219,theory(equality)])).
% cnf(814,plain,(sdtasdt0(xp,X1)=xn|sz00=xp|xq!=X1),inference(cn,[status(thm)],[813,theory(equality)])).
% cnf(815,plain,(sdtasdt0(xp,X1)=xn|xq!=X1),inference(sr,[status(thm)],[814,214,theory(equality)])).
% cnf(1688,plain,(xn=sz00|~aNaturalNumber0(xp)|xq!=sz00),inference(spm,[status(thm)],[88,815,theory(equality)])).
% cnf(1742,plain,(xn=sz00|$false|xq!=sz00),inference(rw,[status(thm)],[1688,217,theory(equality)])).
% cnf(1743,plain,(xn=sz00|xq!=sz00),inference(cn,[status(thm)],[1742,theory(equality)])).
% cnf(1744,plain,(xq!=sz00),inference(sr,[status(thm)],[1743,216,theory(equality)])).
% cnf(2686,plain,(aNaturalNumber0(sdtasdt0(xm,xm))|~aNaturalNumber0(xq)),inference(spm,[status(thm)],[407,61,theory(equality)])).
% cnf(2691,plain,(aNaturalNumber0(sdtasdt0(xm,xm))|$false),inference(rw,[status(thm)],[2686,250,theory(equality)])).
% cnf(2692,plain,(aNaturalNumber0(sdtasdt0(xm,xm))),inference(cn,[status(thm)],[2691,theory(equality)])).
% cnf(2994,plain,(sdtasdt0(xm,xm)=esk7_0|~aNaturalNumber0(sdtasdt0(xm,xm))),inference(spm,[status(thm)],[766,231,theory(equality)])).
% cnf(3013,plain,(sdtasdt0(xm,xm)=esk7_0|$false),inference(rw,[status(thm)],[2994,2692,theory(equality)])).
% cnf(3014,plain,(sdtasdt0(xm,xm)=esk7_0),inference(cn,[status(thm)],[3013,theory(equality)])).
% cnf(3048,plain,(sdtasdt0(xp,sdtasdt0(xq,xq))=esk7_0),inference(rw,[status(thm)],[251,3014,theory(equality)])).
% cnf(3163,plain,(sz00=X1|sz00=xq|esk7_0!=sdtasdt0(X1,X1)|~isPrime0(xp)|~iLess0(X1,xn)|~aNaturalNumber0(X1)|~aNaturalNumber0(xq)|~aNaturalNumber0(xp)),inference(spm,[status(thm)],[277,3048,theory(equality)])).
% cnf(3223,plain,(sz00=X1|sz00=xq|esk7_0!=sdtasdt0(X1,X1)|$false|~iLess0(X1,xn)|~aNaturalNumber0(X1)|~aNaturalNumber0(xq)|~aNaturalNumber0(xp)),inference(rw,[status(thm)],[3163,236,theory(equality)])).
% cnf(3224,plain,(sz00=X1|sz00=xq|esk7_0!=sdtasdt0(X1,X1)|$false|~iLess0(X1,xn)|~aNaturalNumber0(X1)|$false|~aNaturalNumber0(xp)),inference(rw,[status(thm)],[3223,250,theory(equality)])).
% cnf(3225,plain,(sz00=X1|sz00=xq|esk7_0!=sdtasdt0(X1,X1)|$false|~iLess0(X1,xn)|~aNaturalNumber0(X1)|$false|$false),inference(rw,[status(thm)],[3224,217,theory(equality)])).
% cnf(3226,plain,(sz00=X1|sz00=xq|esk7_0!=sdtasdt0(X1,X1)|~iLess0(X1,xn)|~aNaturalNumber0(X1)),inference(cn,[status(thm)],[3225,theory(equality)])).
% cnf(3227,plain,(sz00=X1|sdtasdt0(X1,X1)!=esk7_0|~iLess0(X1,xn)|~aNaturalNumber0(X1)),inference(sr,[status(thm)],[3226,1744,theory(equality)])).
% cnf(3838,plain,(sz00=X1|X1=xn|sdtasdt0(X1,X1)!=esk7_0|~aNaturalNumber0(X1)|~sdtlseqdt0(X1,xn)|~aNaturalNumber0(xn)),inference(spm,[status(thm)],[3227,160,theory(equality)])).
% cnf(3839,plain,(sz00=X1|X1=xn|sdtasdt0(X1,X1)!=esk7_0|~aNaturalNumber0(X1)|~sdtlseqdt0(X1,xn)|$false),inference(rw,[status(thm)],[3838,219,theory(equality)])).
% cnf(3840,plain,(sz00=X1|X1=xn|sdtasdt0(X1,X1)!=esk7_0|~aNaturalNumber0(X1)|~sdtlseqdt0(X1,xn)),inference(cn,[status(thm)],[3839,theory(equality)])).
% cnf(232425,plain,(xm=xn|sz00=xm|sdtasdt0(xm,xm)!=esk7_0|~aNaturalNumber0(xm)|~aNaturalNumber0(xn)),inference(spm,[status(thm)],[3840,581,theory(equality)])).
% cnf(232504,plain,(xm=xn|sz00=xm|$false|~aNaturalNumber0(xm)|~aNaturalNumber0(xn)),inference(rw,[status(thm)],[232425,3014,theory(equality)])).
% cnf(232505,plain,(xm=xn|sz00=xm|$false|$false|~aNaturalNumber0(xn)),inference(rw,[status(thm)],[232504,218,theory(equality)])).
% cnf(232506,plain,(xm=xn|sz00=xm|$false|$false|$false),inference(rw,[status(thm)],[232505,219,theory(equality)])).
% cnf(232507,plain,(xm=xn|sz00=xm),inference(cn,[status(thm)],[232506,theory(equality)])).
% cnf(232508,plain,(xm=sz00),inference(sr,[status(thm)],[232507,257,theory(equality)])).
% cnf(232509,plain,($false),inference(sr,[status(thm)],[232508,215,theory(equality)])).
% cnf(232510,plain,($false),232509,['proof']).
% # SZS output end CNFRefutation
% # Processed clauses : 10815
% # ...of these trivial : 192
% # ...subsumed : 8826
% # ...remaining for further processing: 1797
% # Other redundant clauses eliminated : 88
% # Clauses deleted for lack of memory : 0
% # Backward-subsumed : 176
% # Backward-rewritten : 40
% # Generated clauses : 82799
% # ...of the previous two non-trivial : 72775
% # Contextual simplify-reflections : 3339
% # Paramodulations : 82570
% # Factorizations : 1
% # Equation resolutions : 223
% # Current number of processed clauses: 1480
% # Positive orientable unit clauses: 231
% # Positive unorientable unit clauses: 0
% # Negative unit clauses : 118
% # Non-unit-clauses : 1131
% # Current number of unprocessed clauses: 60223
% # ...number of literals in the above : 385305
% # Clause-clause subsumption calls (NU) : 124252
% # Rec. Clause-clause subsumption calls : 53111
% # Unit Clause-clause subsumption calls : 3042
% # Rewrite failures with RHS unbound : 0
% # Indexed BW rewrite attempts : 61
% # Indexed BW rewrite successes : 30
% # Backwards rewriting index: 961 leaves, 1.29+/-1.287 terms/leaf
% # Paramod-from index: 602 leaves, 1.07+/-0.419 terms/leaf
% # Paramod-into index: 774 leaves, 1.24+/-1.144 terms/leaf
% # -------------------------------------------------
% # User time : 4.404 s
% # System time : 0.178 s
% # Total time : 4.582 s
% # Maximum resident set size: 0 pages
% PrfWatch: 8.38 CPU 8.56 WC
% FINAL PrfWatch: 8.38 CPU 8.56 WC
% SZS output end Solution for /tmp/SystemOnTPTP17958/NUM529+3.tptp
%
%------------------------------------------------------------------------------