TSTP Solution File: NUM510+3 by SRASS---0.1
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- Process Solution
%------------------------------------------------------------------------------
% File : SRASS---0.1
% Problem : NUM510+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 19:45:10 EST 2010
% Result : Theorem 2.77s
% Output : Solution 2.77s
% 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/SystemOnTPTP9471/NUM510+3.tptp
% Adding relevance values
% Extracting the conjecture
% Sorting axioms by relevance
% Looking for THM ...
% found
% SZS status THM for /tmp/SystemOnTPTP9471/NUM510+3.tptp
% SZS output start Solution for /tmp/SystemOnTPTP9471/NUM510+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 9567
% TreeLimitedRun: ----------------------------------------------------------
% PrfWatch: 0.00 CPU 0.00 WC
% # Preprocessing time : 0.033 s
% # Problem is unsatisfiable (or provable), constructing proof object
% # SZS status Theorem
% # SZS output start CNFRefutation.
% fof(2, axiom,(aNaturalNumber0(sz10)&~(sz10=sz00)),file('/tmp/SRASS.s.p', mSortsC_01)).
% fof(8, axiom,![X1]:![X2]:((aNaturalNumber0(X1)&aNaturalNumber0(X2))=>sdtasdt0(X1,X2)=sdtasdt0(X2,X1)),file('/tmp/SRASS.s.p', mMulComm)).
% fof(10, axiom,![X1]:(aNaturalNumber0(X1)=>(sdtasdt0(X1,sz10)=X1&X1=sdtasdt0(sz10,X1))),file('/tmp/SRASS.s.p', m_MulUnit)).
% 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(25, axiom,![X1]:![X2]:((aNaturalNumber0(X1)&aNaturalNumber0(X2))=>(~(X1=sz00)=>sdtlseqdt0(X2,sdtasdt0(X2,X1)))),file('/tmp/SRASS.s.p', mMonMul2)).
% fof(36, axiom,((aNaturalNumber0(xn)&aNaturalNumber0(xm))&aNaturalNumber0(xp)),file('/tmp/SRASS.s.p', m__1837)).
% fof(39, axiom,~((?[X1]:(aNaturalNumber0(X1)&sdtpldt0(xp,X1)=xn)|sdtlseqdt0(xp,xn))),file('/tmp/SRASS.s.p', m__1870)).
% fof(42, axiom,((aNaturalNumber0(xk)&sdtasdt0(xn,xm)=sdtasdt0(xp,xk))&xk=sdtsldt0(sdtasdt0(xn,xm),xp)),file('/tmp/SRASS.s.p', m__2306)).
% fof(43, axiom,~((xk=sz00|xk=sz10)),file('/tmp/SRASS.s.p', m__2315)).
% 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(53, conjecture,(~(((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__)).
% fof(54, negated_conjecture,~((~(((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(assume_negation,[status(cth)],[53])).
% cnf(59,plain,(aNaturalNumber0(sz10)),inference(split_conjunct,[status(thm)],[2])).
% fof(77, plain,![X1]:![X2]:((~(aNaturalNumber0(X1))|~(aNaturalNumber0(X2)))|sdtasdt0(X1,X2)=sdtasdt0(X2,X1)),inference(fof_nnf,[status(thm)],[8])).
% fof(78, plain,![X3]:![X4]:((~(aNaturalNumber0(X3))|~(aNaturalNumber0(X4)))|sdtasdt0(X3,X4)=sdtasdt0(X4,X3)),inference(variable_rename,[status(thm)],[77])).
% cnf(79,plain,(sdtasdt0(X1,X2)=sdtasdt0(X2,X1)|~aNaturalNumber0(X2)|~aNaturalNumber0(X1)),inference(split_conjunct,[status(thm)],[78])).
% fof(83, plain,![X1]:(~(aNaturalNumber0(X1))|(sdtasdt0(X1,sz10)=X1&X1=sdtasdt0(sz10,X1))),inference(fof_nnf,[status(thm)],[10])).
% fof(84, plain,![X2]:(~(aNaturalNumber0(X2))|(sdtasdt0(X2,sz10)=X2&X2=sdtasdt0(sz10,X2))),inference(variable_rename,[status(thm)],[83])).
% fof(85, plain,![X2]:((sdtasdt0(X2,sz10)=X2|~(aNaturalNumber0(X2)))&(X2=sdtasdt0(sz10,X2)|~(aNaturalNumber0(X2)))),inference(distribute,[status(thm)],[84])).
% cnf(86,plain,(X1=sdtasdt0(sz10,X1)|~aNaturalNumber0(X1)),inference(split_conjunct,[status(thm)],[85])).
% fof(88, plain,![X1]:(~(aNaturalNumber0(X1))|(sdtasdt0(X1,sz00)=sz00&sz00=sdtasdt0(sz00,X1))),inference(fof_nnf,[status(thm)],[11])).
% fof(89, plain,![X2]:(~(aNaturalNumber0(X2))|(sdtasdt0(X2,sz00)=sz00&sz00=sdtasdt0(sz00,X2))),inference(variable_rename,[status(thm)],[88])).
% fof(90, plain,![X2]:((sdtasdt0(X2,sz00)=sz00|~(aNaturalNumber0(X2)))&(sz00=sdtasdt0(sz00,X2)|~(aNaturalNumber0(X2)))),inference(distribute,[status(thm)],[89])).
% cnf(91,plain,(sz00=sdtasdt0(sz00,X1)|~aNaturalNumber0(X1)),inference(split_conjunct,[status(thm)],[90])).
% fof(103, 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(104, 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)],[103])).
% fof(105, 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)],[104])).
% fof(106, 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)],[105])).
% cnf(107,plain,(X1=sz00|X3=X2|~aNaturalNumber0(X1)|~aNaturalNumber0(X2)|~aNaturalNumber0(X3)|sdtasdt0(X3,X1)!=sdtasdt0(X2,X1)),inference(split_conjunct,[status(thm)],[106])).
% cnf(108,plain,(X1=sz00|X3=X2|~aNaturalNumber0(X1)|~aNaturalNumber0(X2)|~aNaturalNumber0(X3)|sdtasdt0(X1,X3)!=sdtasdt0(X1,X2)),inference(split_conjunct,[status(thm)],[106])).
% fof(159, plain,![X1]:![X2]:((~(aNaturalNumber0(X1))|~(aNaturalNumber0(X2)))|(X1=sz00|sdtlseqdt0(X2,sdtasdt0(X2,X1)))),inference(fof_nnf,[status(thm)],[25])).
% fof(160, plain,![X3]:![X4]:((~(aNaturalNumber0(X3))|~(aNaturalNumber0(X4)))|(X3=sz00|sdtlseqdt0(X4,sdtasdt0(X4,X3)))),inference(variable_rename,[status(thm)],[159])).
% cnf(161,plain,(sdtlseqdt0(X1,sdtasdt0(X1,X2))|X2=sz00|~aNaturalNumber0(X1)|~aNaturalNumber0(X2)),inference(split_conjunct,[status(thm)],[160])).
% cnf(215,plain,(aNaturalNumber0(xp)),inference(split_conjunct,[status(thm)],[36])).
% cnf(216,plain,(aNaturalNumber0(xm)),inference(split_conjunct,[status(thm)],[36])).
% cnf(217,plain,(aNaturalNumber0(xn)),inference(split_conjunct,[status(thm)],[36])).
% fof(362, plain,(![X1]:(~(aNaturalNumber0(X1))|~(sdtpldt0(xp,X1)=xn))&~(sdtlseqdt0(xp,xn))),inference(fof_nnf,[status(thm)],[39])).
% fof(363, plain,(![X2]:(~(aNaturalNumber0(X2))|~(sdtpldt0(xp,X2)=xn))&~(sdtlseqdt0(xp,xn))),inference(variable_rename,[status(thm)],[362])).
% fof(364, plain,![X2]:((~(aNaturalNumber0(X2))|~(sdtpldt0(xp,X2)=xn))&~(sdtlseqdt0(xp,xn))),inference(shift_quantors,[status(thm)],[363])).
% cnf(365,plain,(~sdtlseqdt0(xp,xn)),inference(split_conjunct,[status(thm)],[364])).
% cnf(383,plain,(sdtasdt0(xn,xm)=sdtasdt0(xp,xk)),inference(split_conjunct,[status(thm)],[42])).
% cnf(384,plain,(aNaturalNumber0(xk)),inference(split_conjunct,[status(thm)],[42])).
% fof(385, plain,(~(xk=sz00)&~(xk=sz10)),inference(fof_nnf,[status(thm)],[43])).
% cnf(387,plain,(xk!=sz00),inference(split_conjunct,[status(thm)],[385])).
% fof(390, 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(391, 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)],[390])).
% fof(392, 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)],[391])).
% fof(393, 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)],[392])).
% fof(394, 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)],[393])).
% cnf(396,plain,(xr!=sz10),inference(split_conjunct,[status(thm)],[394])).
% cnf(397,plain,(xr!=sz00),inference(split_conjunct,[status(thm)],[394])).
% cnf(401,plain,(aNaturalNumber0(xr)),inference(split_conjunct,[status(thm)],[394])).
% fof(429, plain,(?[X2]:(aNaturalNumber0(X2)&xn=sdtasdt0(xr,X2))&doDivides0(xr,xn)),inference(variable_rename,[status(thm)],[49])).
% fof(430, plain,((aNaturalNumber0(esk18_0)&xn=sdtasdt0(xr,esk18_0))&doDivides0(xr,xn)),inference(skolemize,[status(esa)],[429])).
% cnf(432,plain,(xn=sdtasdt0(xr,esk18_0)),inference(split_conjunct,[status(thm)],[430])).
% cnf(433,plain,(aNaturalNumber0(esk18_0)),inference(split_conjunct,[status(thm)],[430])).
% fof(445, negated_conjecture,(((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)],[54])).
% fof(446, negated_conjecture,(((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)],[445])).
% fof(447, negated_conjecture,![X2]:((((~(aNaturalNumber0(X2))|~(sdtpldt0(sdtsldt0(xn,xr),X2)=xn))&~(sdtlseqdt0(sdtsldt0(xn,xr),xn)))&(aNaturalNumber0(sdtsldt0(xn,xr))&xn=sdtasdt0(xr,sdtsldt0(xn,xr))))|((aNaturalNumber0(sdtsldt0(xn,xr))&xn=sdtasdt0(xr,sdtsldt0(xn,xr)))&sdtsldt0(xn,xr)=xn)),inference(shift_quantors,[status(thm)],[446])).
% fof(448, negated_conjecture,![X2]:(((((aNaturalNumber0(sdtsldt0(xn,xr))|(~(aNaturalNumber0(X2))|~(sdtpldt0(sdtsldt0(xn,xr),X2)=xn)))&(xn=sdtasdt0(xr,sdtsldt0(xn,xr))|(~(aNaturalNumber0(X2))|~(sdtpldt0(sdtsldt0(xn,xr),X2)=xn))))&(sdtsldt0(xn,xr)=xn|(~(aNaturalNumber0(X2))|~(sdtpldt0(sdtsldt0(xn,xr),X2)=xn))))&(((aNaturalNumber0(sdtsldt0(xn,xr))|~(sdtlseqdt0(sdtsldt0(xn,xr),xn)))&(xn=sdtasdt0(xr,sdtsldt0(xn,xr))|~(sdtlseqdt0(sdtsldt0(xn,xr),xn))))&(sdtsldt0(xn,xr)=xn|~(sdtlseqdt0(sdtsldt0(xn,xr),xn)))))&((((aNaturalNumber0(sdtsldt0(xn,xr))|aNaturalNumber0(sdtsldt0(xn,xr)))&(xn=sdtasdt0(xr,sdtsldt0(xn,xr))|aNaturalNumber0(sdtsldt0(xn,xr))))&(sdtsldt0(xn,xr)=xn|aNaturalNumber0(sdtsldt0(xn,xr))))&(((aNaturalNumber0(sdtsldt0(xn,xr))|xn=sdtasdt0(xr,sdtsldt0(xn,xr)))&(xn=sdtasdt0(xr,sdtsldt0(xn,xr))|xn=sdtasdt0(xr,sdtsldt0(xn,xr))))&(sdtsldt0(xn,xr)=xn|xn=sdtasdt0(xr,sdtsldt0(xn,xr)))))),inference(distribute,[status(thm)],[447])).
% cnf(450,negated_conjecture,(xn=sdtasdt0(xr,sdtsldt0(xn,xr))|xn=sdtasdt0(xr,sdtsldt0(xn,xr))),inference(split_conjunct,[status(thm)],[448])).
% cnf(454,negated_conjecture,(aNaturalNumber0(sdtsldt0(xn,xr))|aNaturalNumber0(sdtsldt0(xn,xr))),inference(split_conjunct,[status(thm)],[448])).
% cnf(455,negated_conjecture,(sdtsldt0(xn,xr)=xn|~sdtlseqdt0(sdtsldt0(xn,xr),xn)),inference(split_conjunct,[status(thm)],[448])).
% cnf(674,plain,(sz00=xk|sdtlseqdt0(xp,sdtasdt0(xn,xm))|~aNaturalNumber0(xk)|~aNaturalNumber0(xp)),inference(spm,[status(thm)],[161,383,theory(equality)])).
% cnf(678,plain,(sz00=X1|sdtlseqdt0(X2,sdtasdt0(X1,X2))|~aNaturalNumber0(X1)|~aNaturalNumber0(X2)),inference(spm,[status(thm)],[161,79,theory(equality)])).
% cnf(699,plain,(sz00=xk|sdtlseqdt0(xp,sdtasdt0(xn,xm))|$false|~aNaturalNumber0(xp)),inference(rw,[status(thm)],[674,384,theory(equality)])).
% cnf(700,plain,(sz00=xk|sdtlseqdt0(xp,sdtasdt0(xn,xm))|$false|$false),inference(rw,[status(thm)],[699,215,theory(equality)])).
% cnf(701,plain,(sz00=xk|sdtlseqdt0(xp,sdtasdt0(xn,xm))),inference(cn,[status(thm)],[700,theory(equality)])).
% cnf(702,plain,(sdtlseqdt0(xp,sdtasdt0(xn,xm))),inference(sr,[status(thm)],[701,387,theory(equality)])).
% cnf(1450,plain,(sz00=xr|X1=esk18_0|sdtasdt0(xr,X1)!=xn|~aNaturalNumber0(esk18_0)|~aNaturalNumber0(X1)|~aNaturalNumber0(xr)),inference(spm,[status(thm)],[108,432,theory(equality)])).
% cnf(1480,plain,(sz00=xr|X1=esk18_0|sdtasdt0(xr,X1)!=xn|$false|~aNaturalNumber0(X1)|~aNaturalNumber0(xr)),inference(rw,[status(thm)],[1450,433,theory(equality)])).
% cnf(1481,plain,(sz00=xr|X1=esk18_0|sdtasdt0(xr,X1)!=xn|$false|~aNaturalNumber0(X1)|$false),inference(rw,[status(thm)],[1480,401,theory(equality)])).
% cnf(1482,plain,(sz00=xr|X1=esk18_0|sdtasdt0(xr,X1)!=xn|~aNaturalNumber0(X1)),inference(cn,[status(thm)],[1481,theory(equality)])).
% cnf(1483,plain,(X1=esk18_0|sdtasdt0(xr,X1)!=xn|~aNaturalNumber0(X1)),inference(sr,[status(thm)],[1482,397,theory(equality)])).
% cnf(13294,negated_conjecture,(sdtsldt0(xn,xr)=esk18_0|~aNaturalNumber0(sdtsldt0(xn,xr))),inference(spm,[status(thm)],[1483,450,theory(equality)])).
% cnf(13311,negated_conjecture,(sdtsldt0(xn,xr)=esk18_0|$false),inference(rw,[status(thm)],[13294,454,theory(equality)])).
% cnf(13312,negated_conjecture,(sdtsldt0(xn,xr)=esk18_0),inference(cn,[status(thm)],[13311,theory(equality)])).
% cnf(13321,negated_conjecture,(esk18_0=xn|~sdtlseqdt0(sdtsldt0(xn,xr),xn)),inference(rw,[status(thm)],[455,13312,theory(equality)])).
% cnf(13322,negated_conjecture,(esk18_0=xn|~sdtlseqdt0(esk18_0,xn)),inference(rw,[status(thm)],[13321,13312,theory(equality)])).
% cnf(16205,plain,(sz00=xr|sdtlseqdt0(esk18_0,xn)|~aNaturalNumber0(xr)|~aNaturalNumber0(esk18_0)),inference(spm,[status(thm)],[678,432,theory(equality)])).
% cnf(16221,plain,(sz00=xr|sdtlseqdt0(esk18_0,xn)|$false|~aNaturalNumber0(esk18_0)),inference(rw,[status(thm)],[16205,401,theory(equality)])).
% cnf(16222,plain,(sz00=xr|sdtlseqdt0(esk18_0,xn)|$false|$false),inference(rw,[status(thm)],[16221,433,theory(equality)])).
% cnf(16223,plain,(sz00=xr|sdtlseqdt0(esk18_0,xn)),inference(cn,[status(thm)],[16222,theory(equality)])).
% cnf(16224,plain,(sdtlseqdt0(esk18_0,xn)),inference(sr,[status(thm)],[16223,397,theory(equality)])).
% cnf(16268,negated_conjecture,(esk18_0=xn|$false),inference(rw,[status(thm)],[13322,16224,theory(equality)])).
% cnf(16269,negated_conjecture,(esk18_0=xn),inference(cn,[status(thm)],[16268,theory(equality)])).
% cnf(16360,plain,(sdtasdt0(xr,xn)=xn),inference(rw,[status(thm)],[432,16269,theory(equality)])).
% cnf(16394,plain,(sz00=xn|xr=X1|xn!=sdtasdt0(X1,xn)|~aNaturalNumber0(X1)|~aNaturalNumber0(xr)|~aNaturalNumber0(xn)),inference(spm,[status(thm)],[107,16360,theory(equality)])).
% cnf(16592,plain,(sz00=xn|xr=X1|xn!=sdtasdt0(X1,xn)|~aNaturalNumber0(X1)|$false|~aNaturalNumber0(xn)),inference(rw,[status(thm)],[16394,401,theory(equality)])).
% cnf(16593,plain,(sz00=xn|xr=X1|xn!=sdtasdt0(X1,xn)|~aNaturalNumber0(X1)|$false|$false),inference(rw,[status(thm)],[16592,217,theory(equality)])).
% cnf(16594,plain,(sz00=xn|xr=X1|xn!=sdtasdt0(X1,xn)|~aNaturalNumber0(X1)),inference(cn,[status(thm)],[16593,theory(equality)])).
% cnf(45701,plain,(sz00=xn|xr=sz10|~aNaturalNumber0(sz10)|~aNaturalNumber0(xn)),inference(spm,[status(thm)],[16594,86,theory(equality)])).
% cnf(45708,plain,(sz00=xn|xr=sz10|$false|~aNaturalNumber0(xn)),inference(rw,[status(thm)],[45701,59,theory(equality)])).
% cnf(45709,plain,(sz00=xn|xr=sz10|$false|$false),inference(rw,[status(thm)],[45708,217,theory(equality)])).
% cnf(45710,plain,(sz00=xn|xr=sz10),inference(cn,[status(thm)],[45709,theory(equality)])).
% cnf(45711,plain,(sz00=xn),inference(sr,[status(thm)],[45710,396,theory(equality)])).
% cnf(46070,plain,(sdtasdt0(xn,X1)=sz00|~aNaturalNumber0(X1)),inference(rw,[status(thm)],[91,45711,theory(equality)])).
% cnf(46071,plain,(sdtasdt0(xn,X1)=xn|~aNaturalNumber0(X1)),inference(rw,[status(thm)],[46070,45711,theory(equality)])).
% cnf(48469,plain,(sdtlseqdt0(xp,xn)|~aNaturalNumber0(xm)),inference(spm,[status(thm)],[702,46071,theory(equality)])).
% cnf(48638,plain,(sdtlseqdt0(xp,xn)|$false),inference(rw,[status(thm)],[48469,216,theory(equality)])).
% cnf(48639,plain,(sdtlseqdt0(xp,xn)),inference(cn,[status(thm)],[48638,theory(equality)])).
% cnf(48640,plain,($false),inference(sr,[status(thm)],[48639,365,theory(equality)])).
% cnf(48641,plain,($false),48640,['proof']).
% # SZS output end CNFRefutation
% # Processed clauses : 1767
% # ...of these trivial : 51
% # ...subsumed : 693
% # ...remaining for further processing: 1023
% # Other redundant clauses eliminated : 31
% # Clauses deleted for lack of memory : 0
% # Backward-subsumed : 61
% # Backward-rewritten : 460
% # Generated clauses : 14109
% # ...of the previous two non-trivial : 12769
% # Contextual simplify-reflections : 185
% # Paramodulations : 13926
% # Factorizations : 11
% # Equation resolutions : 168
% # Current number of processed clauses: 497
% # Positive orientable unit clauses: 185
% # Positive unorientable unit clauses: 0
% # Negative unit clauses : 25
% # Non-unit-clauses : 287
% # Current number of unprocessed clauses: 2831
% # ...number of literals in the above : 14980
% # Clause-clause subsumption calls (NU) : 19187
% # Rec. Clause-clause subsumption calls : 5191
% # Unit Clause-clause subsumption calls : 943
% # Rewrite failures with RHS unbound : 0
% # Indexed BW rewrite attempts : 66
% # Indexed BW rewrite successes : 62
% # Backwards rewriting index: 447 leaves, 1.15+/-0.751 terms/leaf
% # Paramod-from index: 273 leaves, 1.04+/-0.214 terms/leaf
% # Paramod-into index: 414 leaves, 1.10+/-0.668 terms/leaf
% # -------------------------------------------------
% # User time : 0.920 s
% # System time : 0.033 s
% # Total time : 0.953 s
% # Maximum resident set size: 0 pages
% PrfWatch: 1.90 CPU 1.99 WC
% FINAL PrfWatch: 1.90 CPU 1.99 WC
% SZS output end Solution for /tmp/SystemOnTPTP9471/NUM510+3.tptp
%
%------------------------------------------------------------------------------