TSTP Solution File: NUM518+3 by SRASS---0.1

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SRASS---0.1
% Problem  : NUM518+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 : art03.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 19:51:34 EST 2010

% Result   : Theorem 2.03s
% Output   : Solution 2.03s
% 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/SystemOnTPTP14009/NUM518+3.tptp
% Adding relevance values
% Extracting the conjecture
% Sorting axioms by relevance
% Looking for THM       ... 
% found
% SZS status THM for /tmp/SystemOnTPTP14009/NUM518+3.tptp
% SZS output start Solution for /tmp/SystemOnTPTP14009/NUM518+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 14105
% TreeLimitedRun: ----------------------------------------------------------
% PrfWatch: 0.00 CPU 0.00 WC
% # Preprocessing time     : 0.034 s
% # Problem is unsatisfiable (or provable), constructing proof object
% # SZS status Theorem
% # SZS output start CNFRefutation.
% fof(8, axiom,![X1]:![X2]:((aNaturalNumber0(X1)&aNaturalNumber0(X2))=>sdtasdt0(X1,X2)=sdtasdt0(X2,X1)),file('/tmp/SRASS.s.p', mMulComm)).
% 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(27, axiom,![X1]:![X2]:((aNaturalNumber0(X1)&aNaturalNumber0(X2))=>(doDivides0(X1,X2)<=>?[X3]:(aNaturalNumber0(X3)&X2=sdtasdt0(X1,X3)))),file('/tmp/SRASS.s.p', mDefDiv)).
% fof(29, axiom,![X1]:![X2]:![X3]:(((aNaturalNumber0(X1)&aNaturalNumber0(X2))&aNaturalNumber0(X3))=>((doDivides0(X1,X2)&doDivides0(X2,X3))=>doDivides0(X1,X3))),file('/tmp/SRASS.s.p', mDivTrans)).
% fof(36, axiom,((aNaturalNumber0(xn)&aNaturalNumber0(xm))&aNaturalNumber0(xp)),file('/tmp/SRASS.s.p', m__1837)).
% fof(45, axiom,((((((aNaturalNumber0(xr)&?[X1]:(aNaturalNumber0(X1)&xk=sdtasdt0(xr,X1)))&doDivides0(xr,xk))&~(xr=sz00))&~(xr=sz10))&![X1]:((aNaturalNumber0(X1)&(?[X2]:(aNaturalNumber0(X2)&xr=sdtasdt0(X1,X2))|doDivides0(X1,xr)))=>(X1=sz10|X1=xr)))&isPrime0(xr)),file('/tmp/SRASS.s.p', m__2342)).
% fof(49, axiom,(?[X1]:(aNaturalNumber0(X1)&xn=sdtasdt0(xr,X1))&doDivides0(xr,xn)),file('/tmp/SRASS.s.p', m__2487)).
% fof(50, axiom,((((~(((aNaturalNumber0(sdtsldt0(xn,xr))&xn=sdtasdt0(xr,sdtsldt0(xn,xr)))=>sdtsldt0(xn,xr)=xn))&aNaturalNumber0(sdtsldt0(xn,xr)))&xn=sdtasdt0(xr,sdtsldt0(xn,xr)))&?[X1]:(aNaturalNumber0(X1)&sdtpldt0(sdtsldt0(xn,xr),X1)=xn))&sdtlseqdt0(sdtsldt0(xn,xr),xn)),file('/tmp/SRASS.s.p', m__2504)).
% fof(52, axiom,((((aNaturalNumber0(sdtsldt0(xn,xr))&xn=sdtasdt0(xr,sdtsldt0(xn,xr)))&?[X1]:(aNaturalNumber0(X1)&sdtsldt0(xn,xr)=sdtasdt0(xp,X1)))&doDivides0(xp,sdtsldt0(xn,xr)))|(?[X1]:(aNaturalNumber0(X1)&xm=sdtasdt0(xp,X1))&doDivides0(xp,xm))),file('/tmp/SRASS.s.p', m__2645)).
% fof(56, conjecture,(((?[X1]:(aNaturalNumber0(X1)&xn=sdtasdt0(xp,X1))|doDivides0(xp,xn))|?[X1]:(aNaturalNumber0(X1)&xm=sdtasdt0(xp,X1)))|doDivides0(xp,xm)),file('/tmp/SRASS.s.p', m__)).
% fof(57, negated_conjecture,~((((?[X1]:(aNaturalNumber0(X1)&xn=sdtasdt0(xp,X1))|doDivides0(xp,xn))|?[X1]:(aNaturalNumber0(X1)&xm=sdtasdt0(xp,X1)))|doDivides0(xp,xm))),inference(assume_negation,[status(cth)],[56])).
% fof(80, plain,![X1]:![X2]:((~(aNaturalNumber0(X1))|~(aNaturalNumber0(X2)))|sdtasdt0(X1,X2)=sdtasdt0(X2,X1)),inference(fof_nnf,[status(thm)],[8])).
% fof(81, plain,![X3]:![X4]:((~(aNaturalNumber0(X3))|~(aNaturalNumber0(X4)))|sdtasdt0(X3,X4)=sdtasdt0(X4,X3)),inference(variable_rename,[status(thm)],[80])).
% cnf(82,plain,(sdtasdt0(X1,X2)=sdtasdt0(X2,X1)|~aNaturalNumber0(X2)|~aNaturalNumber0(X1)),inference(split_conjunct,[status(thm)],[81])).
% fof(106, 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(107, 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)],[106])).
% fof(108, 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)],[107])).
% fof(109, 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)],[108])).
% cnf(111,plain,(X1=sz00|X3=X2|~aNaturalNumber0(X1)|~aNaturalNumber0(X2)|~aNaturalNumber0(X3)|sdtasdt0(X1,X3)!=sdtasdt0(X1,X2)),inference(split_conjunct,[status(thm)],[109])).
% fof(168, plain,![X1]:![X2]:((~(aNaturalNumber0(X1))|~(aNaturalNumber0(X2)))|((~(doDivides0(X1,X2))|?[X3]:(aNaturalNumber0(X3)&X2=sdtasdt0(X1,X3)))&(![X3]:(~(aNaturalNumber0(X3))|~(X2=sdtasdt0(X1,X3)))|doDivides0(X1,X2)))),inference(fof_nnf,[status(thm)],[27])).
% fof(169, plain,![X4]:![X5]:((~(aNaturalNumber0(X4))|~(aNaturalNumber0(X5)))|((~(doDivides0(X4,X5))|?[X6]:(aNaturalNumber0(X6)&X5=sdtasdt0(X4,X6)))&(![X7]:(~(aNaturalNumber0(X7))|~(X5=sdtasdt0(X4,X7)))|doDivides0(X4,X5)))),inference(variable_rename,[status(thm)],[168])).
% fof(170, plain,![X4]:![X5]:((~(aNaturalNumber0(X4))|~(aNaturalNumber0(X5)))|((~(doDivides0(X4,X5))|(aNaturalNumber0(esk2_2(X4,X5))&X5=sdtasdt0(X4,esk2_2(X4,X5))))&(![X7]:(~(aNaturalNumber0(X7))|~(X5=sdtasdt0(X4,X7)))|doDivides0(X4,X5)))),inference(skolemize,[status(esa)],[169])).
% fof(171, plain,![X4]:![X5]:![X7]:((((~(aNaturalNumber0(X7))|~(X5=sdtasdt0(X4,X7)))|doDivides0(X4,X5))&(~(doDivides0(X4,X5))|(aNaturalNumber0(esk2_2(X4,X5))&X5=sdtasdt0(X4,esk2_2(X4,X5)))))|(~(aNaturalNumber0(X4))|~(aNaturalNumber0(X5)))),inference(shift_quantors,[status(thm)],[170])).
% fof(172, plain,![X4]:![X5]:![X7]:((((~(aNaturalNumber0(X7))|~(X5=sdtasdt0(X4,X7)))|doDivides0(X4,X5))|(~(aNaturalNumber0(X4))|~(aNaturalNumber0(X5))))&(((aNaturalNumber0(esk2_2(X4,X5))|~(doDivides0(X4,X5)))|(~(aNaturalNumber0(X4))|~(aNaturalNumber0(X5))))&((X5=sdtasdt0(X4,esk2_2(X4,X5))|~(doDivides0(X4,X5)))|(~(aNaturalNumber0(X4))|~(aNaturalNumber0(X5)))))),inference(distribute,[status(thm)],[171])).
% cnf(175,plain,(doDivides0(X2,X1)|~aNaturalNumber0(X1)|~aNaturalNumber0(X2)|X1!=sdtasdt0(X2,X3)|~aNaturalNumber0(X3)),inference(split_conjunct,[status(thm)],[172])).
% fof(183, plain,![X1]:![X2]:![X3]:(((~(aNaturalNumber0(X1))|~(aNaturalNumber0(X2)))|~(aNaturalNumber0(X3)))|((~(doDivides0(X1,X2))|~(doDivides0(X2,X3)))|doDivides0(X1,X3))),inference(fof_nnf,[status(thm)],[29])).
% fof(184, plain,![X4]:![X5]:![X6]:(((~(aNaturalNumber0(X4))|~(aNaturalNumber0(X5)))|~(aNaturalNumber0(X6)))|((~(doDivides0(X4,X5))|~(doDivides0(X5,X6)))|doDivides0(X4,X6))),inference(variable_rename,[status(thm)],[183])).
% cnf(185,plain,(doDivides0(X1,X2)|~doDivides0(X3,X2)|~doDivides0(X1,X3)|~aNaturalNumber0(X2)|~aNaturalNumber0(X3)|~aNaturalNumber0(X1)),inference(split_conjunct,[status(thm)],[184])).
% cnf(218,plain,(aNaturalNumber0(xp)),inference(split_conjunct,[status(thm)],[36])).
% cnf(220,plain,(aNaturalNumber0(xn)),inference(split_conjunct,[status(thm)],[36])).
% fof(393, plain,((((((aNaturalNumber0(xr)&?[X1]:(aNaturalNumber0(X1)&xk=sdtasdt0(xr,X1)))&doDivides0(xr,xk))&~(xr=sz00))&~(xr=sz10))&![X1]:((~(aNaturalNumber0(X1))|(![X2]:(~(aNaturalNumber0(X2))|~(xr=sdtasdt0(X1,X2)))&~(doDivides0(X1,xr))))|(X1=sz10|X1=xr)))&isPrime0(xr)),inference(fof_nnf,[status(thm)],[45])).
% fof(394, plain,((((((aNaturalNumber0(xr)&?[X3]:(aNaturalNumber0(X3)&xk=sdtasdt0(xr,X3)))&doDivides0(xr,xk))&~(xr=sz00))&~(xr=sz10))&![X4]:((~(aNaturalNumber0(X4))|(![X5]:(~(aNaturalNumber0(X5))|~(xr=sdtasdt0(X4,X5)))&~(doDivides0(X4,xr))))|(X4=sz10|X4=xr)))&isPrime0(xr)),inference(variable_rename,[status(thm)],[393])).
% fof(395, plain,((((((aNaturalNumber0(xr)&(aNaturalNumber0(esk12_0)&xk=sdtasdt0(xr,esk12_0)))&doDivides0(xr,xk))&~(xr=sz00))&~(xr=sz10))&![X4]:((~(aNaturalNumber0(X4))|(![X5]:(~(aNaturalNumber0(X5))|~(xr=sdtasdt0(X4,X5)))&~(doDivides0(X4,xr))))|(X4=sz10|X4=xr)))&isPrime0(xr)),inference(skolemize,[status(esa)],[394])).
% fof(396, plain,![X4]:![X5]:((((((~(aNaturalNumber0(X5))|~(xr=sdtasdt0(X4,X5)))&~(doDivides0(X4,xr)))|~(aNaturalNumber0(X4)))|(X4=sz10|X4=xr))&((((aNaturalNumber0(xr)&(aNaturalNumber0(esk12_0)&xk=sdtasdt0(xr,esk12_0)))&doDivides0(xr,xk))&~(xr=sz00))&~(xr=sz10)))&isPrime0(xr)),inference(shift_quantors,[status(thm)],[395])).
% fof(397, plain,![X4]:![X5]:((((((~(aNaturalNumber0(X5))|~(xr=sdtasdt0(X4,X5)))|~(aNaturalNumber0(X4)))|(X4=sz10|X4=xr))&((~(doDivides0(X4,xr))|~(aNaturalNumber0(X4)))|(X4=sz10|X4=xr)))&((((aNaturalNumber0(xr)&(aNaturalNumber0(esk12_0)&xk=sdtasdt0(xr,esk12_0)))&doDivides0(xr,xk))&~(xr=sz00))&~(xr=sz10)))&isPrime0(xr)),inference(distribute,[status(thm)],[396])).
% cnf(400,plain,(xr!=sz00),inference(split_conjunct,[status(thm)],[397])).
% cnf(404,plain,(aNaturalNumber0(xr)),inference(split_conjunct,[status(thm)],[397])).
% fof(432, plain,(?[X2]:(aNaturalNumber0(X2)&xn=sdtasdt0(xr,X2))&doDivides0(xr,xn)),inference(variable_rename,[status(thm)],[49])).
% fof(433, plain,((aNaturalNumber0(esk18_0)&xn=sdtasdt0(xr,esk18_0))&doDivides0(xr,xn)),inference(skolemize,[status(esa)],[432])).
% cnf(435,plain,(xn=sdtasdt0(xr,esk18_0)),inference(split_conjunct,[status(thm)],[433])).
% cnf(436,plain,(aNaturalNumber0(esk18_0)),inference(split_conjunct,[status(thm)],[433])).
% fof(437, plain,((((((aNaturalNumber0(sdtsldt0(xn,xr))&xn=sdtasdt0(xr,sdtsldt0(xn,xr)))&~(sdtsldt0(xn,xr)=xn))&aNaturalNumber0(sdtsldt0(xn,xr)))&xn=sdtasdt0(xr,sdtsldt0(xn,xr)))&?[X1]:(aNaturalNumber0(X1)&sdtpldt0(sdtsldt0(xn,xr),X1)=xn))&sdtlseqdt0(sdtsldt0(xn,xr),xn)),inference(fof_nnf,[status(thm)],[50])).
% fof(438, plain,((((((aNaturalNumber0(sdtsldt0(xn,xr))&xn=sdtasdt0(xr,sdtsldt0(xn,xr)))&~(sdtsldt0(xn,xr)=xn))&aNaturalNumber0(sdtsldt0(xn,xr)))&xn=sdtasdt0(xr,sdtsldt0(xn,xr)))&?[X2]:(aNaturalNumber0(X2)&sdtpldt0(sdtsldt0(xn,xr),X2)=xn))&sdtlseqdt0(sdtsldt0(xn,xr),xn)),inference(variable_rename,[status(thm)],[437])).
% fof(439, plain,((((((aNaturalNumber0(sdtsldt0(xn,xr))&xn=sdtasdt0(xr,sdtsldt0(xn,xr)))&~(sdtsldt0(xn,xr)=xn))&aNaturalNumber0(sdtsldt0(xn,xr)))&xn=sdtasdt0(xr,sdtsldt0(xn,xr)))&(aNaturalNumber0(esk19_0)&sdtpldt0(sdtsldt0(xn,xr),esk19_0)=xn))&sdtlseqdt0(sdtsldt0(xn,xr),xn)),inference(skolemize,[status(esa)],[438])).
% cnf(444,plain,(aNaturalNumber0(sdtsldt0(xn,xr))),inference(split_conjunct,[status(thm)],[439])).
% fof(455, plain,((((aNaturalNumber0(sdtsldt0(xn,xr))&xn=sdtasdt0(xr,sdtsldt0(xn,xr)))&?[X2]:(aNaturalNumber0(X2)&sdtsldt0(xn,xr)=sdtasdt0(xp,X2)))&doDivides0(xp,sdtsldt0(xn,xr)))|(?[X3]:(aNaturalNumber0(X3)&xm=sdtasdt0(xp,X3))&doDivides0(xp,xm))),inference(variable_rename,[status(thm)],[52])).
% fof(456, plain,((((aNaturalNumber0(sdtsldt0(xn,xr))&xn=sdtasdt0(xr,sdtsldt0(xn,xr)))&(aNaturalNumber0(esk21_0)&sdtsldt0(xn,xr)=sdtasdt0(xp,esk21_0)))&doDivides0(xp,sdtsldt0(xn,xr)))|((aNaturalNumber0(esk22_0)&xm=sdtasdt0(xp,esk22_0))&doDivides0(xp,xm))),inference(skolemize,[status(esa)],[455])).
% fof(457, plain,((((((aNaturalNumber0(esk22_0)|aNaturalNumber0(sdtsldt0(xn,xr)))&(xm=sdtasdt0(xp,esk22_0)|aNaturalNumber0(sdtsldt0(xn,xr))))&(doDivides0(xp,xm)|aNaturalNumber0(sdtsldt0(xn,xr))))&(((aNaturalNumber0(esk22_0)|xn=sdtasdt0(xr,sdtsldt0(xn,xr)))&(xm=sdtasdt0(xp,esk22_0)|xn=sdtasdt0(xr,sdtsldt0(xn,xr))))&(doDivides0(xp,xm)|xn=sdtasdt0(xr,sdtsldt0(xn,xr)))))&((((aNaturalNumber0(esk22_0)|aNaturalNumber0(esk21_0))&(xm=sdtasdt0(xp,esk22_0)|aNaturalNumber0(esk21_0)))&(doDivides0(xp,xm)|aNaturalNumber0(esk21_0)))&(((aNaturalNumber0(esk22_0)|sdtsldt0(xn,xr)=sdtasdt0(xp,esk21_0))&(xm=sdtasdt0(xp,esk22_0)|sdtsldt0(xn,xr)=sdtasdt0(xp,esk21_0)))&(doDivides0(xp,xm)|sdtsldt0(xn,xr)=sdtasdt0(xp,esk21_0)))))&(((aNaturalNumber0(esk22_0)|doDivides0(xp,sdtsldt0(xn,xr)))&(xm=sdtasdt0(xp,esk22_0)|doDivides0(xp,sdtsldt0(xn,xr))))&(doDivides0(xp,xm)|doDivides0(xp,sdtsldt0(xn,xr))))),inference(distribute,[status(thm)],[456])).
% cnf(458,plain,(doDivides0(xp,sdtsldt0(xn,xr))|doDivides0(xp,xm)),inference(split_conjunct,[status(thm)],[457])).
% cnf(461,plain,(sdtsldt0(xn,xr)=sdtasdt0(xp,esk21_0)|doDivides0(xp,xm)),inference(split_conjunct,[status(thm)],[457])).
% cnf(467,plain,(xn=sdtasdt0(xr,sdtsldt0(xn,xr))|doDivides0(xp,xm)),inference(split_conjunct,[status(thm)],[457])).
% fof(484, negated_conjecture,(((![X1]:(~(aNaturalNumber0(X1))|~(xn=sdtasdt0(xp,X1)))&~(doDivides0(xp,xn)))&![X1]:(~(aNaturalNumber0(X1))|~(xm=sdtasdt0(xp,X1))))&~(doDivides0(xp,xm))),inference(fof_nnf,[status(thm)],[57])).
% fof(485, negated_conjecture,(((![X2]:(~(aNaturalNumber0(X2))|~(xn=sdtasdt0(xp,X2)))&~(doDivides0(xp,xn)))&![X3]:(~(aNaturalNumber0(X3))|~(xm=sdtasdt0(xp,X3))))&~(doDivides0(xp,xm))),inference(variable_rename,[status(thm)],[484])).
% fof(486, negated_conjecture,![X2]:![X3]:(((~(aNaturalNumber0(X3))|~(xm=sdtasdt0(xp,X3)))&((~(aNaturalNumber0(X2))|~(xn=sdtasdt0(xp,X2)))&~(doDivides0(xp,xn))))&~(doDivides0(xp,xm))),inference(shift_quantors,[status(thm)],[485])).
% cnf(487,negated_conjecture,(~doDivides0(xp,xm)),inference(split_conjunct,[status(thm)],[486])).
% cnf(488,negated_conjecture,(~doDivides0(xp,xn)),inference(split_conjunct,[status(thm)],[486])).
% cnf(612,plain,(doDivides0(xp,sdtsldt0(xn,xr))),inference(sr,[status(thm)],[458,487,theory(equality)])).
% cnf(720,plain,(doDivides0(X1,X2)|sdtasdt0(X3,X1)!=X2|~aNaturalNumber0(X3)|~aNaturalNumber0(X1)|~aNaturalNumber0(X2)),inference(spm,[status(thm)],[175,82,theory(equality)])).
% cnf(814,plain,(sdtsldt0(xn,xr)=sdtasdt0(xp,esk21_0)),inference(sr,[status(thm)],[461,487,theory(equality)])).
% cnf(815,plain,(doDivides0(xp,sdtasdt0(xp,esk21_0))),inference(rw,[status(thm)],[612,814,theory(equality)])).
% cnf(820,plain,(aNaturalNumber0(sdtasdt0(xp,esk21_0))),inference(rw,[status(thm)],[444,814,theory(equality)])).
% cnf(846,plain,(sdtasdt0(xr,sdtasdt0(xp,esk21_0))=xn|doDivides0(xp,xm)),inference(rw,[status(thm)],[467,814,theory(equality)])).
% cnf(847,plain,(sdtasdt0(xr,sdtasdt0(xp,esk21_0))=xn),inference(sr,[status(thm)],[846,487,theory(equality)])).
% cnf(1590,plain,(sz00=xr|X1=esk18_0|sdtasdt0(xr,X1)!=xn|~aNaturalNumber0(esk18_0)|~aNaturalNumber0(X1)|~aNaturalNumber0(xr)),inference(spm,[status(thm)],[111,435,theory(equality)])).
% cnf(1620,plain,(sz00=xr|X1=esk18_0|sdtasdt0(xr,X1)!=xn|$false|~aNaturalNumber0(X1)|~aNaturalNumber0(xr)),inference(rw,[status(thm)],[1590,436,theory(equality)])).
% cnf(1621,plain,(sz00=xr|X1=esk18_0|sdtasdt0(xr,X1)!=xn|$false|~aNaturalNumber0(X1)|$false),inference(rw,[status(thm)],[1620,404,theory(equality)])).
% cnf(1622,plain,(sz00=xr|X1=esk18_0|sdtasdt0(xr,X1)!=xn|~aNaturalNumber0(X1)),inference(cn,[status(thm)],[1621,theory(equality)])).
% cnf(1623,plain,(X1=esk18_0|sdtasdt0(xr,X1)!=xn|~aNaturalNumber0(X1)),inference(sr,[status(thm)],[1622,400,theory(equality)])).
% cnf(18989,plain,(sdtasdt0(xp,esk21_0)=esk18_0|~aNaturalNumber0(sdtasdt0(xp,esk21_0))),inference(spm,[status(thm)],[1623,847,theory(equality)])).
% cnf(19006,plain,(sdtasdt0(xp,esk21_0)=esk18_0|$false),inference(rw,[status(thm)],[18989,820,theory(equality)])).
% cnf(19007,plain,(sdtasdt0(xp,esk21_0)=esk18_0),inference(cn,[status(thm)],[19006,theory(equality)])).
% cnf(19202,plain,(doDivides0(xp,esk18_0)),inference(rw,[status(thm)],[815,19007,theory(equality)])).
% cnf(23241,plain,(doDivides0(esk18_0,X1)|xn!=X1|~aNaturalNumber0(xr)|~aNaturalNumber0(esk18_0)|~aNaturalNumber0(X1)),inference(spm,[status(thm)],[720,435,theory(equality)])).
% cnf(23265,plain,(doDivides0(esk18_0,X1)|xn!=X1|$false|~aNaturalNumber0(esk18_0)|~aNaturalNumber0(X1)),inference(rw,[status(thm)],[23241,404,theory(equality)])).
% cnf(23266,plain,(doDivides0(esk18_0,X1)|xn!=X1|$false|$false|~aNaturalNumber0(X1)),inference(rw,[status(thm)],[23265,436,theory(equality)])).
% cnf(23267,plain,(doDivides0(esk18_0,X1)|xn!=X1|~aNaturalNumber0(X1)),inference(cn,[status(thm)],[23266,theory(equality)])).
% cnf(23407,plain,(doDivides0(esk18_0,xn)|~aNaturalNumber0(xn)),inference(er,[status(thm)],[23267,theory(equality)])).
% cnf(23408,plain,(doDivides0(esk18_0,xn)|$false),inference(rw,[status(thm)],[23407,220,theory(equality)])).
% cnf(23409,plain,(doDivides0(esk18_0,xn)),inference(cn,[status(thm)],[23408,theory(equality)])).
% cnf(23414,plain,(doDivides0(X1,xn)|~doDivides0(X1,esk18_0)|~aNaturalNumber0(esk18_0)|~aNaturalNumber0(xn)|~aNaturalNumber0(X1)),inference(spm,[status(thm)],[185,23409,theory(equality)])).
% cnf(23431,plain,(doDivides0(X1,xn)|~doDivides0(X1,esk18_0)|$false|~aNaturalNumber0(xn)|~aNaturalNumber0(X1)),inference(rw,[status(thm)],[23414,436,theory(equality)])).
% cnf(23432,plain,(doDivides0(X1,xn)|~doDivides0(X1,esk18_0)|$false|$false|~aNaturalNumber0(X1)),inference(rw,[status(thm)],[23431,220,theory(equality)])).
% cnf(23433,plain,(doDivides0(X1,xn)|~doDivides0(X1,esk18_0)|~aNaturalNumber0(X1)),inference(cn,[status(thm)],[23432,theory(equality)])).
% cnf(25321,plain,(doDivides0(xp,xn)|~aNaturalNumber0(xp)),inference(spm,[status(thm)],[23433,19202,theory(equality)])).
% cnf(25334,plain,(doDivides0(xp,xn)|$false),inference(rw,[status(thm)],[25321,218,theory(equality)])).
% cnf(25335,plain,(doDivides0(xp,xn)),inference(cn,[status(thm)],[25334,theory(equality)])).
% cnf(25336,plain,($false),inference(sr,[status(thm)],[25335,488,theory(equality)])).
% cnf(25337,plain,($false),25336,['proof']).
% # SZS output end CNFRefutation
% # Processed clauses                  : 601
% # ...of these trivial                : 23
% # ...subsumed                        : 128
% # ...remaining for further processing: 450
% # Other redundant clauses eliminated : 13
% # Clauses deleted for lack of memory : 0
% # Backward-subsumed                  : 6
% # Backward-rewritten                 : 29
% # Generated clauses                  : 6709
% # ...of the previous two non-trivial : 6416
% # Contextual simplify-reflections    : 31
% # Paramodulations                    : 6594
% # Factorizations                     : 2
% # Equation resolutions               : 113
% # Current number of processed clauses: 414
% #    Positive orientable unit clauses: 108
% #    Positive unorientable unit clauses: 0
% #    Negative unit clauses           : 25
% #    Non-unit-clauses                : 281
% # Current number of unprocessed clauses: 4902
% # ...number of literals in the above : 38843
% # Clause-clause subsumption calls (NU) : 15084
% # Rec. Clause-clause subsumption calls : 904
% # Unit Clause-clause subsumption calls : 717
% # Rewrite failures with RHS unbound  : 0
% # Indexed BW rewrite attempts        : 13
% # Indexed BW rewrite successes       : 12
% # Backwards rewriting index:   283 leaves,   1.21+/-0.777 terms/leaf
% # Paramod-from index:          157 leaves,   1.03+/-0.209 terms/leaf
% # Paramod-into index:          243 leaves,   1.10+/-0.668 terms/leaf
% # -------------------------------------------------
% # User time              : 0.500 s
% # System time            : 0.025 s
% # Total time             : 0.525 s
% # Maximum resident set size: 0 pages
% PrfWatch: 1.17 CPU 1.62 WC
% FINAL PrfWatch: 1.17 CPU 1.62 WC
% SZS output end Solution for /tmp/SystemOnTPTP14009/NUM518+3.tptp
% 
%------------------------------------------------------------------------------