TSTP Solution File: NUM498+1 by SRASS---0.1
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- Process Solution
%------------------------------------------------------------------------------
% File : SRASS---0.1
% Problem : NUM498+1 : 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 19:37:09 EST 2010
% Result : Theorem 1.60s
% Output : Solution 1.60s
% 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/SystemOnTPTP4053/NUM498+1.tptp
% Adding relevance values
% Extracting the conjecture
% Sorting axioms by relevance
% Looking for THM ...
% found
% SZS status THM for /tmp/SystemOnTPTP4053/NUM498+1.tptp
% SZS output start Solution for /tmp/SystemOnTPTP4053/NUM498+1.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 4149
% TreeLimitedRun: ----------------------------------------------------------
% PrfWatch: 0.00 CPU 0.00 WC
% # Preprocessing time : 0.019 s
% # Problem is unsatisfiable (or provable), constructing proof object
% # SZS status Theorem
% # SZS output start CNFRefutation.
% fof(1, axiom,aNaturalNumber0(sz00),file('/tmp/SRASS.s.p', mSortsC)).
% fof(2, axiom,(aNaturalNumber0(sz10)&~(sz10=sz00)),file('/tmp/SRASS.s.p', mSortsC_01)).
% fof(4, axiom,![X1]:![X2]:((aNaturalNumber0(X1)&aNaturalNumber0(X2))=>aNaturalNumber0(sdtasdt0(X1,X2))),file('/tmp/SRASS.s.p', mSortsB_02)).
% fof(5, axiom,![X1]:![X2]:((aNaturalNumber0(X1)&aNaturalNumber0(X2))=>sdtpldt0(X1,X2)=sdtpldt0(X2,X1)),file('/tmp/SRASS.s.p', mAddComm)).
% fof(7, axiom,![X1]:(aNaturalNumber0(X1)=>(sdtpldt0(X1,sz00)=X1&X1=sdtpldt0(sz00,X1))),file('/tmp/SRASS.s.p', m_AddZero)).
% 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(15, axiom,![X1]:![X2]:((aNaturalNumber0(X1)&aNaturalNumber0(X2))=>(sdtpldt0(X1,X2)=sz00=>(X1=sz00&X2=sz00))),file('/tmp/SRASS.s.p', mZeroAdd)).
% fof(16, axiom,![X1]:![X2]:((aNaturalNumber0(X1)&aNaturalNumber0(X2))=>(sdtasdt0(X1,X2)=sz00=>(X1=sz00|X2=sz00))),file('/tmp/SRASS.s.p', mZeroMul)).
% 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(20, axiom,![X1]:![X2]:![X3]:(((aNaturalNumber0(X1)&aNaturalNumber0(X2))&aNaturalNumber0(X3))=>((sdtlseqdt0(X1,X2)&sdtlseqdt0(X2,X3))=>sdtlseqdt0(X1,X3))),file('/tmp/SRASS.s.p', mLETran)).
% 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(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(30, axiom,![X1]:![X2]:![X3]:(((aNaturalNumber0(X1)&aNaturalNumber0(X2))&aNaturalNumber0(X3))=>((doDivides0(X1,X2)&doDivides0(X1,X3))=>doDivides0(X1,sdtpldt0(X2,X3)))),file('/tmp/SRASS.s.p', mDivSum)).
% fof(31, axiom,![X1]:![X2]:![X3]:(((aNaturalNumber0(X1)&aNaturalNumber0(X2))&aNaturalNumber0(X3))=>((doDivides0(X1,X2)&doDivides0(X1,sdtpldt0(X2,X3)))=>doDivides0(X1,X3))),file('/tmp/SRASS.s.p', mDivMin)).
% 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(36, axiom,((aNaturalNumber0(xn)&aNaturalNumber0(xm))&aNaturalNumber0(xp)),file('/tmp/SRASS.s.p', m__1837)).
% fof(38, axiom,(isPrime0(xp)&doDivides0(xp,sdtasdt0(xn,xm))),file('/tmp/SRASS.s.p', m__1860)).
% fof(41, axiom,(((~(xn=xp)&sdtlseqdt0(xn,xp))&~(xm=xp))&sdtlseqdt0(xm,xp)),file('/tmp/SRASS.s.p', m__2287)).
% fof(42, axiom,xk=sdtsldt0(sdtasdt0(xn,xm),xp),file('/tmp/SRASS.s.p', m__2306)).
% fof(46, conjecture,((xk=sz00|xk=sz10)=>(doDivides0(xp,xn)|doDivides0(xp,xm))),file('/tmp/SRASS.s.p', m__)).
% fof(47, negated_conjecture,~(((xk=sz00|xk=sz10)=>(doDivides0(xp,xn)|doDivides0(xp,xm)))),inference(assume_negation,[status(cth)],[46])).
% cnf(52,plain,(aNaturalNumber0(sz00)),inference(split_conjunct,[status(thm)],[1])).
% cnf(53,plain,(sz10!=sz00),inference(split_conjunct,[status(thm)],[2])).
% cnf(54,plain,(aNaturalNumber0(sz10)),inference(split_conjunct,[status(thm)],[2])).
% fof(58, plain,![X1]:![X2]:((~(aNaturalNumber0(X1))|~(aNaturalNumber0(X2)))|aNaturalNumber0(sdtasdt0(X1,X2))),inference(fof_nnf,[status(thm)],[4])).
% fof(59, plain,![X3]:![X4]:((~(aNaturalNumber0(X3))|~(aNaturalNumber0(X4)))|aNaturalNumber0(sdtasdt0(X3,X4))),inference(variable_rename,[status(thm)],[58])).
% cnf(60,plain,(aNaturalNumber0(sdtasdt0(X1,X2))|~aNaturalNumber0(X2)|~aNaturalNumber0(X1)),inference(split_conjunct,[status(thm)],[59])).
% fof(61, plain,![X1]:![X2]:((~(aNaturalNumber0(X1))|~(aNaturalNumber0(X2)))|sdtpldt0(X1,X2)=sdtpldt0(X2,X1)),inference(fof_nnf,[status(thm)],[5])).
% fof(62, plain,![X3]:![X4]:((~(aNaturalNumber0(X3))|~(aNaturalNumber0(X4)))|sdtpldt0(X3,X4)=sdtpldt0(X4,X3)),inference(variable_rename,[status(thm)],[61])).
% cnf(63,plain,(sdtpldt0(X1,X2)=sdtpldt0(X2,X1)|~aNaturalNumber0(X2)|~aNaturalNumber0(X1)),inference(split_conjunct,[status(thm)],[62])).
% fof(67, plain,![X1]:(~(aNaturalNumber0(X1))|(sdtpldt0(X1,sz00)=X1&X1=sdtpldt0(sz00,X1))),inference(fof_nnf,[status(thm)],[7])).
% fof(68, plain,![X2]:(~(aNaturalNumber0(X2))|(sdtpldt0(X2,sz00)=X2&X2=sdtpldt0(sz00,X2))),inference(variable_rename,[status(thm)],[67])).
% fof(69, plain,![X2]:((sdtpldt0(X2,sz00)=X2|~(aNaturalNumber0(X2)))&(X2=sdtpldt0(sz00,X2)|~(aNaturalNumber0(X2)))),inference(distribute,[status(thm)],[68])).
% cnf(70,plain,(X1=sdtpldt0(sz00,X1)|~aNaturalNumber0(X1)),inference(split_conjunct,[status(thm)],[69])).
% fof(72, plain,![X1]:![X2]:((~(aNaturalNumber0(X1))|~(aNaturalNumber0(X2)))|sdtasdt0(X1,X2)=sdtasdt0(X2,X1)),inference(fof_nnf,[status(thm)],[8])).
% fof(73, plain,![X3]:![X4]:((~(aNaturalNumber0(X3))|~(aNaturalNumber0(X4)))|sdtasdt0(X3,X4)=sdtasdt0(X4,X3)),inference(variable_rename,[status(thm)],[72])).
% cnf(74,plain,(sdtasdt0(X1,X2)=sdtasdt0(X2,X1)|~aNaturalNumber0(X2)|~aNaturalNumber0(X1)),inference(split_conjunct,[status(thm)],[73])).
% fof(78, plain,![X1]:(~(aNaturalNumber0(X1))|(sdtasdt0(X1,sz10)=X1&X1=sdtasdt0(sz10,X1))),inference(fof_nnf,[status(thm)],[10])).
% fof(79, plain,![X2]:(~(aNaturalNumber0(X2))|(sdtasdt0(X2,sz10)=X2&X2=sdtasdt0(sz10,X2))),inference(variable_rename,[status(thm)],[78])).
% fof(80, plain,![X2]:((sdtasdt0(X2,sz10)=X2|~(aNaturalNumber0(X2)))&(X2=sdtasdt0(sz10,X2)|~(aNaturalNumber0(X2)))),inference(distribute,[status(thm)],[79])).
% cnf(81,plain,(X1=sdtasdt0(sz10,X1)|~aNaturalNumber0(X1)),inference(split_conjunct,[status(thm)],[80])).
% cnf(82,plain,(sdtasdt0(X1,sz10)=X1|~aNaturalNumber0(X1)),inference(split_conjunct,[status(thm)],[80])).
% fof(83, plain,![X1]:(~(aNaturalNumber0(X1))|(sdtasdt0(X1,sz00)=sz00&sz00=sdtasdt0(sz00,X1))),inference(fof_nnf,[status(thm)],[11])).
% fof(84, plain,![X2]:(~(aNaturalNumber0(X2))|(sdtasdt0(X2,sz00)=sz00&sz00=sdtasdt0(sz00,X2))),inference(variable_rename,[status(thm)],[83])).
% fof(85, plain,![X2]:((sdtasdt0(X2,sz00)=sz00|~(aNaturalNumber0(X2)))&(sz00=sdtasdt0(sz00,X2)|~(aNaturalNumber0(X2)))),inference(distribute,[status(thm)],[84])).
% cnf(87,plain,(sdtasdt0(X1,sz00)=sz00|~aNaturalNumber0(X1)),inference(split_conjunct,[status(thm)],[85])).
% fof(98, 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(99, 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)],[98])).
% fof(100, 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)],[99])).
% fof(101, 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)],[100])).
% cnf(102,plain,(X1=sz00|X3=X2|~aNaturalNumber0(X1)|~aNaturalNumber0(X2)|~aNaturalNumber0(X3)|sdtasdt0(X3,X1)!=sdtasdt0(X2,X1)),inference(split_conjunct,[status(thm)],[101])).
% cnf(103,plain,(X1=sz00|X3=X2|~aNaturalNumber0(X1)|~aNaturalNumber0(X2)|~aNaturalNumber0(X3)|sdtasdt0(X1,X3)!=sdtasdt0(X1,X2)),inference(split_conjunct,[status(thm)],[101])).
% fof(104, plain,![X1]:![X2]:((~(aNaturalNumber0(X1))|~(aNaturalNumber0(X2)))|(~(sdtpldt0(X1,X2)=sz00)|(X1=sz00&X2=sz00))),inference(fof_nnf,[status(thm)],[15])).
% fof(105, plain,![X3]:![X4]:((~(aNaturalNumber0(X3))|~(aNaturalNumber0(X4)))|(~(sdtpldt0(X3,X4)=sz00)|(X3=sz00&X4=sz00))),inference(variable_rename,[status(thm)],[104])).
% fof(106, plain,![X3]:![X4]:(((X3=sz00|~(sdtpldt0(X3,X4)=sz00))|(~(aNaturalNumber0(X3))|~(aNaturalNumber0(X4))))&((X4=sz00|~(sdtpldt0(X3,X4)=sz00))|(~(aNaturalNumber0(X3))|~(aNaturalNumber0(X4))))),inference(distribute,[status(thm)],[105])).
% cnf(108,plain,(X2=sz00|~aNaturalNumber0(X1)|~aNaturalNumber0(X2)|sdtpldt0(X2,X1)!=sz00),inference(split_conjunct,[status(thm)],[106])).
% fof(109, plain,![X1]:![X2]:((~(aNaturalNumber0(X1))|~(aNaturalNumber0(X2)))|(~(sdtasdt0(X1,X2)=sz00)|(X1=sz00|X2=sz00))),inference(fof_nnf,[status(thm)],[16])).
% fof(110, plain,![X3]:![X4]:((~(aNaturalNumber0(X3))|~(aNaturalNumber0(X4)))|(~(sdtasdt0(X3,X4)=sz00)|(X3=sz00|X4=sz00))),inference(variable_rename,[status(thm)],[109])).
% cnf(111,plain,(X1=sz00|X2=sz00|sdtasdt0(X2,X1)!=sz00|~aNaturalNumber0(X1)|~aNaturalNumber0(X2)),inference(split_conjunct,[status(thm)],[110])).
% fof(112, 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(113, 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)],[112])).
% fof(114, 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)],[113])).
% fof(115, 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)],[114])).
% fof(116, 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)],[115])).
% cnf(117,plain,(sdtpldt0(X2,esk1_2(X2,X1))=X1|~aNaturalNumber0(X1)|~aNaturalNumber0(X2)|~sdtlseqdt0(X2,X1)),inference(split_conjunct,[status(thm)],[116])).
% cnf(118,plain,(aNaturalNumber0(esk1_2(X2,X1))|~aNaturalNumber0(X1)|~aNaturalNumber0(X2)|~sdtlseqdt0(X2,X1)),inference(split_conjunct,[status(thm)],[116])).
% cnf(119,plain,(sdtlseqdt0(X2,X1)|~aNaturalNumber0(X1)|~aNaturalNumber0(X2)|sdtpldt0(X2,X3)!=X1|~aNaturalNumber0(X3)),inference(split_conjunct,[status(thm)],[116])).
% fof(126, plain,![X1]:![X2]:![X3]:(((~(aNaturalNumber0(X1))|~(aNaturalNumber0(X2)))|~(aNaturalNumber0(X3)))|((~(sdtlseqdt0(X1,X2))|~(sdtlseqdt0(X2,X3)))|sdtlseqdt0(X1,X3))),inference(fof_nnf,[status(thm)],[20])).
% fof(127, plain,![X4]:![X5]:![X6]:(((~(aNaturalNumber0(X4))|~(aNaturalNumber0(X5)))|~(aNaturalNumber0(X6)))|((~(sdtlseqdt0(X4,X5))|~(sdtlseqdt0(X5,X6)))|sdtlseqdt0(X4,X6))),inference(variable_rename,[status(thm)],[126])).
% cnf(128,plain,(sdtlseqdt0(X1,X2)|~sdtlseqdt0(X3,X2)|~sdtlseqdt0(X1,X3)|~aNaturalNumber0(X2)|~aNaturalNumber0(X3)|~aNaturalNumber0(X1)),inference(split_conjunct,[status(thm)],[127])).
% fof(160, 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(161, 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)],[160])).
% fof(162, 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)],[161])).
% fof(163, 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)],[162])).
% fof(164, 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)],[163])).
% cnf(165,plain,(X1=sdtasdt0(X2,esk2_2(X2,X1))|~aNaturalNumber0(X1)|~aNaturalNumber0(X2)|~doDivides0(X2,X1)),inference(split_conjunct,[status(thm)],[164])).
% cnf(166,plain,(aNaturalNumber0(esk2_2(X2,X1))|~aNaturalNumber0(X1)|~aNaturalNumber0(X2)|~doDivides0(X2,X1)),inference(split_conjunct,[status(thm)],[164])).
% cnf(167,plain,(doDivides0(X2,X1)|~aNaturalNumber0(X1)|~aNaturalNumber0(X2)|X1!=sdtasdt0(X2,X3)|~aNaturalNumber0(X3)),inference(split_conjunct,[status(thm)],[164])).
% fof(168, 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(169, 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)],[168])).
% fof(170, 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)],[169])).
% fof(171, 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)],[170])).
% cnf(173,plain,(X2=sz00|X1=sdtasdt0(X2,X3)|~aNaturalNumber0(X1)|~aNaturalNumber0(X2)|~doDivides0(X2,X1)|X3!=sdtsldt0(X1,X2)),inference(split_conjunct,[status(thm)],[171])).
% fof(178, plain,![X1]:![X2]:![X3]:(((~(aNaturalNumber0(X1))|~(aNaturalNumber0(X2)))|~(aNaturalNumber0(X3)))|((~(doDivides0(X1,X2))|~(doDivides0(X1,X3)))|doDivides0(X1,sdtpldt0(X2,X3)))),inference(fof_nnf,[status(thm)],[30])).
% fof(179, plain,![X4]:![X5]:![X6]:(((~(aNaturalNumber0(X4))|~(aNaturalNumber0(X5)))|~(aNaturalNumber0(X6)))|((~(doDivides0(X4,X5))|~(doDivides0(X4,X6)))|doDivides0(X4,sdtpldt0(X5,X6)))),inference(variable_rename,[status(thm)],[178])).
% cnf(180,plain,(doDivides0(X1,sdtpldt0(X2,X3))|~doDivides0(X1,X3)|~doDivides0(X1,X2)|~aNaturalNumber0(X3)|~aNaturalNumber0(X2)|~aNaturalNumber0(X1)),inference(split_conjunct,[status(thm)],[179])).
% fof(181, plain,![X1]:![X2]:![X3]:(((~(aNaturalNumber0(X1))|~(aNaturalNumber0(X2)))|~(aNaturalNumber0(X3)))|((~(doDivides0(X1,X2))|~(doDivides0(X1,sdtpldt0(X2,X3))))|doDivides0(X1,X3))),inference(fof_nnf,[status(thm)],[31])).
% fof(182, plain,![X4]:![X5]:![X6]:(((~(aNaturalNumber0(X4))|~(aNaturalNumber0(X5)))|~(aNaturalNumber0(X6)))|((~(doDivides0(X4,X5))|~(doDivides0(X4,sdtpldt0(X5,X6))))|doDivides0(X4,X6))),inference(variable_rename,[status(thm)],[181])).
% cnf(183,plain,(doDivides0(X1,X2)|~doDivides0(X1,sdtpldt0(X3,X2))|~doDivides0(X1,X3)|~aNaturalNumber0(X2)|~aNaturalNumber0(X3)|~aNaturalNumber0(X1)),inference(split_conjunct,[status(thm)],[182])).
% fof(191, 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(192, 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)],[191])).
% 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)|((aNaturalNumber0(esk3_1(X3))&doDivides0(esk3_1(X3),X3))&(~(esk3_1(X3)=sz10)&~(esk3_1(X3)=X3))))|isPrime0(X3)))),inference(skolemize,[status(esa)],[192])).
% fof(194, 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)],[193])).
% fof(195, 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)],[194])).
% cnf(202,plain,(X2=X1|X2=sz10|~aNaturalNumber0(X1)|~isPrime0(X1)|~doDivides0(X2,X1)|~aNaturalNumber0(X2)),inference(split_conjunct,[status(thm)],[195])).
% cnf(210,plain,(aNaturalNumber0(xp)),inference(split_conjunct,[status(thm)],[36])).
% cnf(211,plain,(aNaturalNumber0(xm)),inference(split_conjunct,[status(thm)],[36])).
% cnf(212,plain,(aNaturalNumber0(xn)),inference(split_conjunct,[status(thm)],[36])).
% cnf(216,plain,(doDivides0(xp,sdtasdt0(xn,xm))),inference(split_conjunct,[status(thm)],[38])).
% cnf(217,plain,(isPrime0(xp)),inference(split_conjunct,[status(thm)],[38])).
% cnf(220,plain,(sdtlseqdt0(xm,xp)),inference(split_conjunct,[status(thm)],[41])).
% cnf(221,plain,(xm!=xp),inference(split_conjunct,[status(thm)],[41])).
% cnf(222,plain,(sdtlseqdt0(xn,xp)),inference(split_conjunct,[status(thm)],[41])).
% cnf(224,plain,(xk=sdtsldt0(sdtasdt0(xn,xm),xp)),inference(split_conjunct,[status(thm)],[42])).
% fof(236, negated_conjecture,((xk=sz00|xk=sz10)&(~(doDivides0(xp,xn))&~(doDivides0(xp,xm)))),inference(fof_nnf,[status(thm)],[47])).
% cnf(237,negated_conjecture,(~doDivides0(xp,xm)),inference(split_conjunct,[status(thm)],[236])).
% cnf(238,negated_conjecture,(~doDivides0(xp,xn)),inference(split_conjunct,[status(thm)],[236])).
% cnf(239,negated_conjecture,(xk=sz10|xk=sz00),inference(split_conjunct,[status(thm)],[236])).
% cnf(353,plain,(aNaturalNumber0(esk2_2(xp,sdtasdt0(xn,xm)))|~aNaturalNumber0(xp)|~aNaturalNumber0(sdtasdt0(xn,xm))),inference(spm,[status(thm)],[166,216,theory(equality)])).
% cnf(354,plain,(aNaturalNumber0(esk2_2(xp,sdtasdt0(xn,xm)))|$false|~aNaturalNumber0(sdtasdt0(xn,xm))),inference(rw,[status(thm)],[353,210,theory(equality)])).
% cnf(355,plain,(aNaturalNumber0(esk2_2(xp,sdtasdt0(xn,xm)))|~aNaturalNumber0(sdtasdt0(xn,xm))),inference(cn,[status(thm)],[354,theory(equality)])).
% cnf(383,plain,(aNaturalNumber0(esk1_2(xn,xp))|~aNaturalNumber0(xn)|~aNaturalNumber0(xp)),inference(spm,[status(thm)],[118,222,theory(equality)])).
% cnf(392,plain,(aNaturalNumber0(esk1_2(xn,xp))|$false|~aNaturalNumber0(xp)),inference(rw,[status(thm)],[383,212,theory(equality)])).
% cnf(393,plain,(aNaturalNumber0(esk1_2(xn,xp))|$false|$false),inference(rw,[status(thm)],[392,210,theory(equality)])).
% cnf(394,plain,(aNaturalNumber0(esk1_2(xn,xp))),inference(cn,[status(thm)],[393,theory(equality)])).
% cnf(415,plain,(sdtasdt0(xp,esk2_2(xp,sdtasdt0(xn,xm)))=sdtasdt0(xn,xm)|~aNaturalNumber0(xp)|~aNaturalNumber0(sdtasdt0(xn,xm))),inference(spm,[status(thm)],[165,216,theory(equality)])).
% cnf(416,plain,(sdtasdt0(xp,esk2_2(xp,sdtasdt0(xn,xm)))=sdtasdt0(xn,xm)|$false|~aNaturalNumber0(sdtasdt0(xn,xm))),inference(rw,[status(thm)],[415,210,theory(equality)])).
% cnf(417,plain,(sdtasdt0(xp,esk2_2(xp,sdtasdt0(xn,xm)))=sdtasdt0(xn,xm)|~aNaturalNumber0(sdtasdt0(xn,xm))),inference(cn,[status(thm)],[416,theory(equality)])).
% cnf(418,plain,(doDivides0(X1,sdtasdt0(X1,X2))|~aNaturalNumber0(X2)|~aNaturalNumber0(X1)|~aNaturalNumber0(sdtasdt0(X1,X2))),inference(er,[status(thm)],[167,theory(equality)])).
% cnf(419,plain,(doDivides0(sz10,X1)|X2!=X1|~aNaturalNumber0(X2)|~aNaturalNumber0(sz10)|~aNaturalNumber0(X1)),inference(spm,[status(thm)],[167,81,theory(equality)])).
% cnf(421,plain,(doDivides0(X1,X2)|X1!=X2|~aNaturalNumber0(sz10)|~aNaturalNumber0(X1)|~aNaturalNumber0(X2)),inference(spm,[status(thm)],[167,82,theory(equality)])).
% cnf(422,plain,(doDivides0(X1,X2)|sz00!=X2|~aNaturalNumber0(sz00)|~aNaturalNumber0(X1)|~aNaturalNumber0(X2)),inference(spm,[status(thm)],[167,87,theory(equality)])).
% cnf(425,plain,(doDivides0(sz10,X1)|X2!=X1|~aNaturalNumber0(X2)|$false|~aNaturalNumber0(X1)),inference(rw,[status(thm)],[419,54,theory(equality)])).
% cnf(426,plain,(doDivides0(sz10,X1)|X2!=X1|~aNaturalNumber0(X2)|~aNaturalNumber0(X1)),inference(cn,[status(thm)],[425,theory(equality)])).
% cnf(427,plain,(doDivides0(sz10,X1)|~aNaturalNumber0(X1)),inference(er,[status(thm)],[426,theory(equality)])).
% cnf(430,plain,(doDivides0(X1,X2)|X1!=X2|$false|~aNaturalNumber0(X1)|~aNaturalNumber0(X2)),inference(rw,[status(thm)],[421,54,theory(equality)])).
% cnf(431,plain,(doDivides0(X1,X2)|X1!=X2|~aNaturalNumber0(X1)|~aNaturalNumber0(X2)),inference(cn,[status(thm)],[430,theory(equality)])).
% cnf(432,plain,(doDivides0(X1,X1)|~aNaturalNumber0(X1)),inference(er,[status(thm)],[431,theory(equality)])).
% cnf(433,plain,(doDivides0(X1,X2)|sz00!=X2|$false|~aNaturalNumber0(X1)|~aNaturalNumber0(X2)),inference(rw,[status(thm)],[422,52,theory(equality)])).
% cnf(434,plain,(doDivides0(X1,X2)|sz00!=X2|~aNaturalNumber0(X1)|~aNaturalNumber0(X2)),inference(cn,[status(thm)],[433,theory(equality)])).
% cnf(471,plain,(doDivides0(xp,sdtpldt0(X1,sdtasdt0(xn,xm)))|~doDivides0(xp,X1)|~aNaturalNumber0(sdtasdt0(xn,xm))|~aNaturalNumber0(X1)|~aNaturalNumber0(xp)),inference(spm,[status(thm)],[180,216,theory(equality)])).
% cnf(472,plain,(doDivides0(xp,sdtpldt0(X1,sdtasdt0(xn,xm)))|~doDivides0(xp,X1)|~aNaturalNumber0(sdtasdt0(xn,xm))|~aNaturalNumber0(X1)|$false),inference(rw,[status(thm)],[471,210,theory(equality)])).
% cnf(473,plain,(doDivides0(xp,sdtpldt0(X1,sdtasdt0(xn,xm)))|~doDivides0(xp,X1)|~aNaturalNumber0(sdtasdt0(xn,xm))|~aNaturalNumber0(X1)),inference(cn,[status(thm)],[472,theory(equality)])).
% cnf(476,plain,(doDivides0(X1,X2)|~doDivides0(X1,sdtpldt0(X2,X3))|~doDivides0(X1,X3)|~aNaturalNumber0(X3)|~aNaturalNumber0(X2)|~aNaturalNumber0(X1)),inference(spm,[status(thm)],[183,63,theory(equality)])).
% cnf(485,plain,(sdtpldt0(xn,esk1_2(xn,xp))=xp|~aNaturalNumber0(xn)|~aNaturalNumber0(xp)),inference(spm,[status(thm)],[117,222,theory(equality)])).
% cnf(494,plain,(sdtpldt0(xn,esk1_2(xn,xp))=xp|$false|~aNaturalNumber0(xp)),inference(rw,[status(thm)],[485,212,theory(equality)])).
% cnf(495,plain,(sdtpldt0(xn,esk1_2(xn,xp))=xp|$false|$false),inference(rw,[status(thm)],[494,210,theory(equality)])).
% cnf(496,plain,(sdtpldt0(xn,esk1_2(xn,xp))=xp),inference(cn,[status(thm)],[495,theory(equality)])).
% cnf(500,plain,(sdtlseqdt0(sz00,X1)|X2!=X1|~aNaturalNumber0(X2)|~aNaturalNumber0(sz00)|~aNaturalNumber0(X1)),inference(spm,[status(thm)],[119,70,theory(equality)])).
% cnf(504,plain,(sdtlseqdt0(sz00,X1)|X2!=X1|~aNaturalNumber0(X2)|$false|~aNaturalNumber0(X1)),inference(rw,[status(thm)],[500,52,theory(equality)])).
% cnf(505,plain,(sdtlseqdt0(sz00,X1)|X2!=X1|~aNaturalNumber0(X2)|~aNaturalNumber0(X1)),inference(cn,[status(thm)],[504,theory(equality)])).
% cnf(506,plain,(sdtlseqdt0(sz00,X1)|~aNaturalNumber0(X1)),inference(er,[status(thm)],[505,theory(equality)])).
% cnf(542,plain,(sz00=X1|X2=sz10|sdtasdt0(X1,X2)!=X1|~aNaturalNumber0(sz10)|~aNaturalNumber0(X2)|~aNaturalNumber0(X1)),inference(spm,[status(thm)],[103,82,theory(equality)])).
% cnf(554,plain,(sz00=X1|X2=sz10|sdtasdt0(X1,X2)!=X1|$false|~aNaturalNumber0(X2)|~aNaturalNumber0(X1)),inference(rw,[status(thm)],[542,54,theory(equality)])).
% cnf(555,plain,(sz00=X1|X2=sz10|sdtasdt0(X1,X2)!=X1|~aNaturalNumber0(X2)|~aNaturalNumber0(X1)),inference(cn,[status(thm)],[554,theory(equality)])).
% cnf(566,plain,(sdtasdt0(X1,sdtsldt0(X2,X1))=X2|sz00=X1|~doDivides0(X1,X2)|~aNaturalNumber0(X1)|~aNaturalNumber0(X2)),inference(er,[status(thm)],[173,theory(equality)])).
% cnf(598,plain,(sdtlseqdt0(X1,xp)|~sdtlseqdt0(X1,xm)|~aNaturalNumber0(xm)|~aNaturalNumber0(xp)|~aNaturalNumber0(X1)),inference(spm,[status(thm)],[128,220,theory(equality)])).
% cnf(605,plain,(sdtlseqdt0(X1,xp)|~sdtlseqdt0(X1,xm)|$false|~aNaturalNumber0(xp)|~aNaturalNumber0(X1)),inference(rw,[status(thm)],[598,211,theory(equality)])).
% cnf(606,plain,(sdtlseqdt0(X1,xp)|~sdtlseqdt0(X1,xm)|$false|$false|~aNaturalNumber0(X1)),inference(rw,[status(thm)],[605,210,theory(equality)])).
% cnf(607,plain,(sdtlseqdt0(X1,xp)|~sdtlseqdt0(X1,xm)|~aNaturalNumber0(X1)),inference(cn,[status(thm)],[606,theory(equality)])).
% cnf(875,plain,(aNaturalNumber0(esk2_2(sz10,X1))|~aNaturalNumber0(sz10)|~aNaturalNumber0(X1)),inference(spm,[status(thm)],[166,427,theory(equality)])).
% cnf(876,plain,(sdtasdt0(sz10,esk2_2(sz10,X1))=X1|~aNaturalNumber0(sz10)|~aNaturalNumber0(X1)),inference(spm,[status(thm)],[165,427,theory(equality)])).
% cnf(886,plain,(aNaturalNumber0(esk2_2(sz10,X1))|$false|~aNaturalNumber0(X1)),inference(rw,[status(thm)],[875,54,theory(equality)])).
% cnf(887,plain,(aNaturalNumber0(esk2_2(sz10,X1))|~aNaturalNumber0(X1)),inference(cn,[status(thm)],[886,theory(equality)])).
% cnf(888,plain,(sdtasdt0(sz10,esk2_2(sz10,X1))=X1|$false|~aNaturalNumber0(X1)),inference(rw,[status(thm)],[876,54,theory(equality)])).
% cnf(889,plain,(sdtasdt0(sz10,esk2_2(sz10,X1))=X1|~aNaturalNumber0(X1)),inference(cn,[status(thm)],[888,theory(equality)])).
% cnf(981,plain,(sz00=xn|xp!=sz00|~aNaturalNumber0(xn)|~aNaturalNumber0(esk1_2(xn,xp))),inference(spm,[status(thm)],[108,496,theory(equality)])).
% cnf(994,plain,(sz00=xn|xp!=sz00|$false|~aNaturalNumber0(esk1_2(xn,xp))),inference(rw,[status(thm)],[981,212,theory(equality)])).
% cnf(995,plain,(sz00=xn|xp!=sz00|$false|$false),inference(rw,[status(thm)],[994,394,theory(equality)])).
% cnf(996,plain,(sz00=xn|xp!=sz00),inference(cn,[status(thm)],[995,theory(equality)])).
% cnf(1040,plain,(sdtasdt0(X1,esk2_2(X1,X1))=X1|~aNaturalNumber0(X1)),inference(spm,[status(thm)],[165,432,theory(equality)])).
% cnf(1876,plain,(sdtlseqdt0(sz00,xp)|~aNaturalNumber0(sz00)|~aNaturalNumber0(xm)),inference(spm,[status(thm)],[607,506,theory(equality)])).
% cnf(1887,plain,(sdtlseqdt0(sz00,xp)|$false|~aNaturalNumber0(xm)),inference(rw,[status(thm)],[1876,52,theory(equality)])).
% cnf(1888,plain,(sdtlseqdt0(sz00,xp)|$false|$false),inference(rw,[status(thm)],[1887,211,theory(equality)])).
% cnf(1889,plain,(sdtlseqdt0(sz00,xp)),inference(cn,[status(thm)],[1888,theory(equality)])).
% cnf(1971,plain,(aNaturalNumber0(esk1_2(sz00,xp))|~aNaturalNumber0(sz00)|~aNaturalNumber0(xp)),inference(spm,[status(thm)],[118,1889,theory(equality)])).
% cnf(1972,plain,(sdtpldt0(sz00,esk1_2(sz00,xp))=xp|~aNaturalNumber0(sz00)|~aNaturalNumber0(xp)),inference(spm,[status(thm)],[117,1889,theory(equality)])).
% cnf(1988,plain,(aNaturalNumber0(esk1_2(sz00,xp))|$false|~aNaturalNumber0(xp)),inference(rw,[status(thm)],[1971,52,theory(equality)])).
% cnf(1989,plain,(aNaturalNumber0(esk1_2(sz00,xp))|$false|$false),inference(rw,[status(thm)],[1988,210,theory(equality)])).
% cnf(1990,plain,(aNaturalNumber0(esk1_2(sz00,xp))),inference(cn,[status(thm)],[1989,theory(equality)])).
% cnf(1991,plain,(sdtpldt0(sz00,esk1_2(sz00,xp))=xp|$false|~aNaturalNumber0(xp)),inference(rw,[status(thm)],[1972,52,theory(equality)])).
% cnf(1992,plain,(sdtpldt0(sz00,esk1_2(sz00,xp))=xp|$false|$false),inference(rw,[status(thm)],[1991,210,theory(equality)])).
% cnf(1993,plain,(sdtpldt0(sz00,esk1_2(sz00,xp))=xp),inference(cn,[status(thm)],[1992,theory(equality)])).
% cnf(2115,plain,(xp=esk1_2(sz00,xp)|~aNaturalNumber0(esk1_2(sz00,xp))),inference(spm,[status(thm)],[70,1993,theory(equality)])).
% cnf(2147,plain,(xp=esk1_2(sz00,xp)|$false),inference(rw,[status(thm)],[2115,1990,theory(equality)])).
% cnf(2148,plain,(xp=esk1_2(sz00,xp)),inference(cn,[status(thm)],[2147,theory(equality)])).
% cnf(2150,plain,(sdtpldt0(sz00,xp)=xp),inference(rw,[status(thm)],[1993,2148,theory(equality)])).
% cnf(2355,plain,(aNaturalNumber0(esk2_2(xp,sdtasdt0(xn,xm)))|~aNaturalNumber0(xm)|~aNaturalNumber0(xn)),inference(spm,[status(thm)],[355,60,theory(equality)])).
% cnf(2356,plain,(aNaturalNumber0(esk2_2(xp,sdtasdt0(xn,xm)))|$false|~aNaturalNumber0(xn)),inference(rw,[status(thm)],[2355,211,theory(equality)])).
% cnf(2357,plain,(aNaturalNumber0(esk2_2(xp,sdtasdt0(xn,xm)))|$false|$false),inference(rw,[status(thm)],[2356,212,theory(equality)])).
% cnf(2358,plain,(aNaturalNumber0(esk2_2(xp,sdtasdt0(xn,xm)))),inference(cn,[status(thm)],[2357,theory(equality)])).
% cnf(3098,plain,(doDivides0(X1,sz00)|~aNaturalNumber0(X1)|~aNaturalNumber0(sz00)),inference(er,[status(thm)],[434,theory(equality)])).
% cnf(3099,plain,(doDivides0(X1,sz00)|~aNaturalNumber0(X1)|$false),inference(rw,[status(thm)],[3098,52,theory(equality)])).
% cnf(3100,plain,(doDivides0(X1,sz00)|~aNaturalNumber0(X1)),inference(cn,[status(thm)],[3099,theory(equality)])).
% cnf(3388,plain,(sdtasdt0(xp,esk2_2(xp,sdtasdt0(xn,xm)))=sdtasdt0(xn,xm)|~aNaturalNumber0(xm)|~aNaturalNumber0(xn)),inference(spm,[status(thm)],[417,60,theory(equality)])).
% cnf(3389,plain,(sdtasdt0(xp,esk2_2(xp,sdtasdt0(xn,xm)))=sdtasdt0(xn,xm)|$false|~aNaturalNumber0(xn)),inference(rw,[status(thm)],[3388,211,theory(equality)])).
% cnf(3390,plain,(sdtasdt0(xp,esk2_2(xp,sdtasdt0(xn,xm)))=sdtasdt0(xn,xm)|$false|$false),inference(rw,[status(thm)],[3389,212,theory(equality)])).
% cnf(3391,plain,(sdtasdt0(xp,esk2_2(xp,sdtasdt0(xn,xm)))=sdtasdt0(xn,xm)),inference(cn,[status(thm)],[3390,theory(equality)])).
% cnf(3533,plain,(aNaturalNumber0(sdtasdt0(xn,xm))|~aNaturalNumber0(esk2_2(xp,sdtasdt0(xn,xm)))|~aNaturalNumber0(xp)),inference(spm,[status(thm)],[60,3391,theory(equality)])).
% cnf(3562,plain,(aNaturalNumber0(sdtasdt0(xn,xm))|$false|~aNaturalNumber0(xp)),inference(rw,[status(thm)],[3533,2358,theory(equality)])).
% cnf(3563,plain,(aNaturalNumber0(sdtasdt0(xn,xm))|$false|$false),inference(rw,[status(thm)],[3562,210,theory(equality)])).
% cnf(3564,plain,(aNaturalNumber0(sdtasdt0(xn,xm))),inference(cn,[status(thm)],[3563,theory(equality)])).
% cnf(3609,plain,(doDivides0(X1,sdtasdt0(X1,X2))|~aNaturalNumber0(X2)|~aNaturalNumber0(X1)),inference(csr,[status(thm)],[418,60])).
% cnf(3626,plain,(doDivides0(X1,sdtasdt0(X2,X1))|~aNaturalNumber0(X2)|~aNaturalNumber0(X1)),inference(spm,[status(thm)],[3609,74,theory(equality)])).
% cnf(4101,plain,(sz00=sz10|sz00=esk2_2(sz10,X1)|X1!=sz00|~aNaturalNumber0(sz10)|~aNaturalNumber0(esk2_2(sz10,X1))|~aNaturalNumber0(X1)),inference(spm,[status(thm)],[111,889,theory(equality)])).
% cnf(4127,plain,(sz00=sz10|sz00=esk2_2(sz10,X1)|X1!=sz00|$false|~aNaturalNumber0(esk2_2(sz10,X1))|~aNaturalNumber0(X1)),inference(rw,[status(thm)],[4101,54,theory(equality)])).
% cnf(4128,plain,(sz00=sz10|sz00=esk2_2(sz10,X1)|X1!=sz00|~aNaturalNumber0(esk2_2(sz10,X1))|~aNaturalNumber0(X1)),inference(cn,[status(thm)],[4127,theory(equality)])).
% cnf(4129,plain,(esk2_2(sz10,X1)=sz00|X1!=sz00|~aNaturalNumber0(esk2_2(sz10,X1))|~aNaturalNumber0(X1)),inference(sr,[status(thm)],[4128,53,theory(equality)])).
% cnf(4232,plain,(esk2_2(sz10,X1)=sz00|X1!=sz00|~aNaturalNumber0(X1)),inference(csr,[status(thm)],[4129,887])).
% cnf(4233,plain,(esk2_2(sz10,sz00)=sz00|~aNaturalNumber0(sz00)),inference(er,[status(thm)],[4232,theory(equality)])).
% cnf(4234,plain,(esk2_2(sz10,sz00)=sz00|$false),inference(rw,[status(thm)],[4233,52,theory(equality)])).
% cnf(4235,plain,(esk2_2(sz10,sz00)=sz00),inference(cn,[status(thm)],[4234,theory(equality)])).
% cnf(4238,plain,(sdtasdt0(sz10,sz00)=sz00|~aNaturalNumber0(sz00)),inference(spm,[status(thm)],[889,4235,theory(equality)])).
% cnf(4245,plain,(sdtasdt0(sz10,sz00)=sz00|$false),inference(rw,[status(thm)],[4238,52,theory(equality)])).
% cnf(4246,plain,(sdtasdt0(sz10,sz00)=sz00),inference(cn,[status(thm)],[4245,theory(equality)])).
% cnf(4255,plain,(doDivides0(sz10,sz00)|~aNaturalNumber0(sz00)|~aNaturalNumber0(sz10)),inference(spm,[status(thm)],[3609,4246,theory(equality)])).
% cnf(4291,plain,(doDivides0(sz10,sz00)|$false|~aNaturalNumber0(sz10)),inference(rw,[status(thm)],[4255,52,theory(equality)])).
% cnf(4292,plain,(doDivides0(sz10,sz00)|$false|$false),inference(rw,[status(thm)],[4291,54,theory(equality)])).
% cnf(4293,plain,(doDivides0(sz10,sz00)),inference(cn,[status(thm)],[4292,theory(equality)])).
% cnf(4323,plain,(doDivides0(sz10,sdtpldt0(X1,sz00))|~doDivides0(sz10,X1)|~aNaturalNumber0(sz00)|~aNaturalNumber0(X1)|~aNaturalNumber0(sz10)),inference(spm,[status(thm)],[180,4293,theory(equality)])).
% cnf(4339,plain,(doDivides0(sz10,sdtpldt0(X1,sz00))|~doDivides0(sz10,X1)|$false|~aNaturalNumber0(X1)|~aNaturalNumber0(sz10)),inference(rw,[status(thm)],[4323,52,theory(equality)])).
% cnf(4340,plain,(doDivides0(sz10,sdtpldt0(X1,sz00))|~doDivides0(sz10,X1)|$false|~aNaturalNumber0(X1)|$false),inference(rw,[status(thm)],[4339,54,theory(equality)])).
% cnf(4341,plain,(doDivides0(sz10,sdtpldt0(X1,sz00))|~doDivides0(sz10,X1)|~aNaturalNumber0(X1)),inference(cn,[status(thm)],[4340,theory(equality)])).
% cnf(5655,plain,(doDivides0(sz10,sdtpldt0(X1,sz00))|~aNaturalNumber0(X1)),inference(csr,[status(thm)],[4341,427])).
% cnf(5667,plain,(doDivides0(sz10,sdtpldt0(sz00,X1))|~aNaturalNumber0(X1)|~aNaturalNumber0(sz00)),inference(spm,[status(thm)],[5655,63,theory(equality)])).
% cnf(5698,plain,(doDivides0(sz10,sdtpldt0(sz00,X1))|~aNaturalNumber0(X1)|$false),inference(rw,[status(thm)],[5667,52,theory(equality)])).
% cnf(5699,plain,(doDivides0(sz10,sdtpldt0(sz00,X1))|~aNaturalNumber0(X1)),inference(cn,[status(thm)],[5698,theory(equality)])).
% cnf(5714,plain,(doDivides0(sz10,xp)|~aNaturalNumber0(xp)),inference(spm,[status(thm)],[5699,2150,theory(equality)])).
% cnf(5746,plain,(doDivides0(sz10,xp)|$false),inference(rw,[status(thm)],[5714,210,theory(equality)])).
% cnf(5747,plain,(doDivides0(sz10,xp)),inference(cn,[status(thm)],[5746,theory(equality)])).
% cnf(5755,plain,(aNaturalNumber0(esk2_2(sz10,xp))|~aNaturalNumber0(sz10)|~aNaturalNumber0(xp)),inference(spm,[status(thm)],[166,5747,theory(equality)])).
% cnf(5756,plain,(sdtasdt0(sz10,esk2_2(sz10,xp))=xp|~aNaturalNumber0(sz10)|~aNaturalNumber0(xp)),inference(spm,[status(thm)],[165,5747,theory(equality)])).
% cnf(5764,plain,(aNaturalNumber0(esk2_2(sz10,xp))|$false|~aNaturalNumber0(xp)),inference(rw,[status(thm)],[5755,54,theory(equality)])).
% cnf(5765,plain,(aNaturalNumber0(esk2_2(sz10,xp))|$false|$false),inference(rw,[status(thm)],[5764,210,theory(equality)])).
% cnf(5766,plain,(aNaturalNumber0(esk2_2(sz10,xp))),inference(cn,[status(thm)],[5765,theory(equality)])).
% cnf(5767,plain,(sdtasdt0(sz10,esk2_2(sz10,xp))=xp|$false|~aNaturalNumber0(xp)),inference(rw,[status(thm)],[5756,54,theory(equality)])).
% cnf(5768,plain,(sdtasdt0(sz10,esk2_2(sz10,xp))=xp|$false|$false),inference(rw,[status(thm)],[5767,210,theory(equality)])).
% cnf(5769,plain,(sdtasdt0(sz10,esk2_2(sz10,xp))=xp),inference(cn,[status(thm)],[5768,theory(equality)])).
% cnf(5823,plain,(doDivides0(xp,sdtpldt0(X1,sdtasdt0(xn,xm)))|~doDivides0(xp,X1)|$false|~aNaturalNumber0(X1)),inference(rw,[status(thm)],[473,3564,theory(equality)])).
% cnf(5824,plain,(doDivides0(xp,sdtpldt0(X1,sdtasdt0(xn,xm)))|~doDivides0(xp,X1)|~aNaturalNumber0(X1)),inference(cn,[status(thm)],[5823,theory(equality)])).
% cnf(5826,plain,(doDivides0(xp,sdtpldt0(sz00,sdtasdt0(xn,xm)))|~aNaturalNumber0(sz00)|~aNaturalNumber0(xp)),inference(spm,[status(thm)],[5824,3100,theory(equality)])).
% cnf(5827,plain,(doDivides0(xp,sdtpldt0(xp,sdtasdt0(xn,xm)))|~aNaturalNumber0(xp)),inference(spm,[status(thm)],[5824,432,theory(equality)])).
% cnf(5831,plain,(doDivides0(xp,sdtpldt0(sz00,sdtasdt0(xn,xm)))|$false|~aNaturalNumber0(xp)),inference(rw,[status(thm)],[5826,52,theory(equality)])).
% cnf(5832,plain,(doDivides0(xp,sdtpldt0(sz00,sdtasdt0(xn,xm)))|$false|$false),inference(rw,[status(thm)],[5831,210,theory(equality)])).
% cnf(5833,plain,(doDivides0(xp,sdtpldt0(sz00,sdtasdt0(xn,xm)))),inference(cn,[status(thm)],[5832,theory(equality)])).
% cnf(5834,plain,(doDivides0(xp,sdtpldt0(xp,sdtasdt0(xn,xm)))|$false),inference(rw,[status(thm)],[5827,210,theory(equality)])).
% cnf(5835,plain,(doDivides0(xp,sdtpldt0(xp,sdtasdt0(xn,xm)))),inference(cn,[status(thm)],[5834,theory(equality)])).
% cnf(5859,plain,(xp=esk2_2(sz10,xp)|~aNaturalNumber0(esk2_2(sz10,xp))),inference(spm,[status(thm)],[81,5769,theory(equality)])).
% cnf(5934,plain,(xp=esk2_2(sz10,xp)|$false),inference(rw,[status(thm)],[5859,5766,theory(equality)])).
% cnf(5935,plain,(xp=esk2_2(sz10,xp)),inference(cn,[status(thm)],[5934,theory(equality)])).
% cnf(5947,plain,(sdtasdt0(sz10,xp)=xp),inference(rw,[status(thm)],[5769,5935,theory(equality)])).
% cnf(5954,plain,(sz00=xp|sz10=X1|xp!=sdtasdt0(X1,xp)|~aNaturalNumber0(X1)|~aNaturalNumber0(sz10)|~aNaturalNumber0(xp)),inference(spm,[status(thm)],[102,5947,theory(equality)])).
% cnf(5989,plain,(sz00=xp|sz10=X1|xp!=sdtasdt0(X1,xp)|~aNaturalNumber0(X1)|$false|~aNaturalNumber0(xp)),inference(rw,[status(thm)],[5954,54,theory(equality)])).
% cnf(5990,plain,(sz00=xp|sz10=X1|xp!=sdtasdt0(X1,xp)|~aNaturalNumber0(X1)|$false|$false),inference(rw,[status(thm)],[5989,210,theory(equality)])).
% cnf(5991,plain,(sz00=xp|sz10=X1|xp!=sdtasdt0(X1,xp)|~aNaturalNumber0(X1)),inference(cn,[status(thm)],[5990,theory(equality)])).
% cnf(6363,plain,(doDivides0(xp,xp)|~doDivides0(xp,sdtasdt0(xn,xm))|~aNaturalNumber0(sdtasdt0(xn,xm))|~aNaturalNumber0(xp)),inference(spm,[status(thm)],[476,5835,theory(equality)])).
% cnf(6364,plain,(doDivides0(xp,sz00)|~doDivides0(xp,sdtasdt0(xn,xm))|~aNaturalNumber0(sdtasdt0(xn,xm))|~aNaturalNumber0(sz00)|~aNaturalNumber0(xp)),inference(spm,[status(thm)],[476,5833,theory(equality)])).
% cnf(6399,plain,(doDivides0(xp,xp)|$false|~aNaturalNumber0(sdtasdt0(xn,xm))|~aNaturalNumber0(xp)),inference(rw,[status(thm)],[6363,216,theory(equality)])).
% cnf(6400,plain,(doDivides0(xp,xp)|$false|$false|~aNaturalNumber0(xp)),inference(rw,[status(thm)],[6399,3564,theory(equality)])).
% cnf(6401,plain,(doDivides0(xp,xp)|$false|$false|$false),inference(rw,[status(thm)],[6400,210,theory(equality)])).
% cnf(6402,plain,(doDivides0(xp,xp)),inference(cn,[status(thm)],[6401,theory(equality)])).
% cnf(6403,plain,(doDivides0(xp,sz00)|$false|~aNaturalNumber0(sdtasdt0(xn,xm))|~aNaturalNumber0(sz00)|~aNaturalNumber0(xp)),inference(rw,[status(thm)],[6364,216,theory(equality)])).
% cnf(6404,plain,(doDivides0(xp,sz00)|$false|$false|~aNaturalNumber0(sz00)|~aNaturalNumber0(xp)),inference(rw,[status(thm)],[6403,3564,theory(equality)])).
% cnf(6405,plain,(doDivides0(xp,sz00)|$false|$false|$false|~aNaturalNumber0(xp)),inference(rw,[status(thm)],[6404,52,theory(equality)])).
% cnf(6406,plain,(doDivides0(xp,sz00)|$false|$false|$false|$false),inference(rw,[status(thm)],[6405,210,theory(equality)])).
% cnf(6407,plain,(doDivides0(xp,sz00)),inference(cn,[status(thm)],[6406,theory(equality)])).
% cnf(6470,plain,(aNaturalNumber0(esk2_2(xp,xp))|~aNaturalNumber0(xp)),inference(spm,[status(thm)],[166,6402,theory(equality)])).
% cnf(6480,plain,(aNaturalNumber0(esk2_2(xp,xp))|$false),inference(rw,[status(thm)],[6470,210,theory(equality)])).
% cnf(6481,plain,(aNaturalNumber0(esk2_2(xp,xp))),inference(cn,[status(thm)],[6480,theory(equality)])).
% cnf(7276,plain,(xp=sz00|sz10=X1|sdtasdt0(xp,X1)!=xp|~aNaturalNumber0(X1)|~aNaturalNumber0(xp)),inference(spm,[status(thm)],[5991,74,theory(equality)])).
% cnf(7285,plain,(xp=sz00|sz10=X1|sdtasdt0(xp,X1)!=xp|~aNaturalNumber0(X1)|$false),inference(rw,[status(thm)],[7276,210,theory(equality)])).
% cnf(7286,plain,(xp=sz00|sz10=X1|sdtasdt0(xp,X1)!=xp|~aNaturalNumber0(X1)),inference(cn,[status(thm)],[7285,theory(equality)])).
% cnf(7289,plain,(xp=sz00|sz10=esk2_2(xp,xp)|~aNaturalNumber0(esk2_2(xp,xp))|~aNaturalNumber0(xp)),inference(spm,[status(thm)],[7286,1040,theory(equality)])).
% cnf(7297,plain,(xp=sz00|sz10=esk2_2(xp,xp)|$false|~aNaturalNumber0(xp)),inference(rw,[status(thm)],[7289,6481,theory(equality)])).
% cnf(7298,plain,(xp=sz00|sz10=esk2_2(xp,xp)|$false|$false),inference(rw,[status(thm)],[7297,210,theory(equality)])).
% cnf(7299,plain,(xp=sz00|sz10=esk2_2(xp,xp)),inference(cn,[status(thm)],[7298,theory(equality)])).
% cnf(7316,plain,(sdtasdt0(xp,sz10)=xp|xp=sz00|~aNaturalNumber0(xp)),inference(spm,[status(thm)],[1040,7299,theory(equality)])).
% cnf(7323,plain,(sdtasdt0(xp,sz10)=xp|xp=sz00|$false),inference(rw,[status(thm)],[7316,210,theory(equality)])).
% cnf(7324,plain,(sdtasdt0(xp,sz10)=xp|xp=sz00),inference(cn,[status(thm)],[7323,theory(equality)])).
% cnf(9853,plain,(sdtasdt0(xp,sdtsldt0(sdtasdt0(xn,xm),xp))=sdtasdt0(xn,xm)|sz00=xp|~aNaturalNumber0(xp)|~aNaturalNumber0(sdtasdt0(xn,xm))),inference(spm,[status(thm)],[566,216,theory(equality)])).
% cnf(9892,plain,(sdtasdt0(xp,xk)=sdtasdt0(xn,xm)|sz00=xp|~aNaturalNumber0(xp)|~aNaturalNumber0(sdtasdt0(xn,xm))),inference(rw,[status(thm)],[9853,224,theory(equality)])).
% cnf(9893,plain,(sdtasdt0(xp,xk)=sdtasdt0(xn,xm)|sz00=xp|$false|~aNaturalNumber0(sdtasdt0(xn,xm))),inference(rw,[status(thm)],[9892,210,theory(equality)])).
% cnf(9894,plain,(sdtasdt0(xp,xk)=sdtasdt0(xn,xm)|sz00=xp|$false|$false),inference(rw,[status(thm)],[9893,3564,theory(equality)])).
% cnf(9895,plain,(sdtasdt0(xp,xk)=sdtasdt0(xn,xm)|sz00=xp),inference(cn,[status(thm)],[9894,theory(equality)])).
% cnf(10098,plain,(xm=sz10|sz00=xn|xp=sz00|sdtasdt0(xp,xk)!=xn|~aNaturalNumber0(xm)|~aNaturalNumber0(xn)),inference(spm,[status(thm)],[555,9895,theory(equality)])).
% cnf(10099,plain,(doDivides0(xm,sdtasdt0(xp,xk))|xp=sz00|~aNaturalNumber0(xn)|~aNaturalNumber0(xm)),inference(spm,[status(thm)],[3626,9895,theory(equality)])).
% cnf(10100,plain,(sz00=xn|sz00=xm|xp=sz00|sdtasdt0(xp,xk)!=sz00|~aNaturalNumber0(xn)|~aNaturalNumber0(xm)),inference(spm,[status(thm)],[111,9895,theory(equality)])).
% cnf(10147,plain,(xm=sz10|sz00=xn|xp=sz00|sdtasdt0(xp,xk)!=xn|$false|~aNaturalNumber0(xn)),inference(rw,[status(thm)],[10098,211,theory(equality)])).
% cnf(10148,plain,(xm=sz10|sz00=xn|xp=sz00|sdtasdt0(xp,xk)!=xn|$false|$false),inference(rw,[status(thm)],[10147,212,theory(equality)])).
% cnf(10149,plain,(xm=sz10|sz00=xn|xp=sz00|sdtasdt0(xp,xk)!=xn),inference(cn,[status(thm)],[10148,theory(equality)])).
% cnf(10150,plain,(doDivides0(xm,sdtasdt0(xp,xk))|xp=sz00|$false|~aNaturalNumber0(xm)),inference(rw,[status(thm)],[10099,212,theory(equality)])).
% cnf(10151,plain,(doDivides0(xm,sdtasdt0(xp,xk))|xp=sz00|$false|$false),inference(rw,[status(thm)],[10150,211,theory(equality)])).
% cnf(10152,plain,(doDivides0(xm,sdtasdt0(xp,xk))|xp=sz00),inference(cn,[status(thm)],[10151,theory(equality)])).
% cnf(10153,plain,(sz00=xn|sz00=xm|xp=sz00|sdtasdt0(xp,xk)!=sz00|$false|~aNaturalNumber0(xm)),inference(rw,[status(thm)],[10100,212,theory(equality)])).
% cnf(10154,plain,(sz00=xn|sz00=xm|xp=sz00|sdtasdt0(xp,xk)!=sz00|$false|$false),inference(rw,[status(thm)],[10153,211,theory(equality)])).
% cnf(10155,plain,(sz00=xn|sz00=xm|xp=sz00|sdtasdt0(xp,xk)!=sz00),inference(cn,[status(thm)],[10154,theory(equality)])).
% cnf(10424,negated_conjecture,(xp=sz00|doDivides0(xm,sdtasdt0(xp,sz10))|xk=sz00),inference(spm,[status(thm)],[10152,239,theory(equality)])).
% cnf(12384,negated_conjecture,(xk=sz00|xp=sz00|doDivides0(xm,sdtasdt0(sz10,xp))|~aNaturalNumber0(xp)|~aNaturalNumber0(sz10)),inference(spm,[status(thm)],[10424,74,theory(equality)])).
% cnf(12410,negated_conjecture,(xk=sz00|xp=sz00|doDivides0(xm,xp)|~aNaturalNumber0(xp)|~aNaturalNumber0(sz10)),inference(rw,[status(thm)],[12384,5947,theory(equality)])).
% cnf(12411,negated_conjecture,(xk=sz00|xp=sz00|doDivides0(xm,xp)|$false|~aNaturalNumber0(sz10)),inference(rw,[status(thm)],[12410,210,theory(equality)])).
% cnf(12412,negated_conjecture,(xk=sz00|xp=sz00|doDivides0(xm,xp)|$false|$false),inference(rw,[status(thm)],[12411,54,theory(equality)])).
% cnf(12413,negated_conjecture,(xk=sz00|xp=sz00|doDivides0(xm,xp)),inference(cn,[status(thm)],[12412,theory(equality)])).
% cnf(12421,negated_conjecture,(sz10=xm|xp=xm|xp=sz00|xk=sz00|~isPrime0(xp)|~aNaturalNumber0(xm)|~aNaturalNumber0(xp)),inference(spm,[status(thm)],[202,12413,theory(equality)])).
% cnf(12434,negated_conjecture,(sz10=xm|xp=xm|xp=sz00|xk=sz00|$false|~aNaturalNumber0(xm)|~aNaturalNumber0(xp)),inference(rw,[status(thm)],[12421,217,theory(equality)])).
% cnf(12435,negated_conjecture,(sz10=xm|xp=xm|xp=sz00|xk=sz00|$false|$false|~aNaturalNumber0(xp)),inference(rw,[status(thm)],[12434,211,theory(equality)])).
% cnf(12436,negated_conjecture,(sz10=xm|xp=xm|xp=sz00|xk=sz00|$false|$false|$false),inference(rw,[status(thm)],[12435,210,theory(equality)])).
% cnf(12437,negated_conjecture,(sz10=xm|xp=xm|xp=sz00|xk=sz00),inference(cn,[status(thm)],[12436,theory(equality)])).
% cnf(12438,negated_conjecture,(xm=sz10|xp=sz00|xk=sz00),inference(sr,[status(thm)],[12437,221,theory(equality)])).
% cnf(17108,plain,(xm=sz10|xn=sz00|sdtasdt0(xp,xk)!=xn),inference(csr,[status(thm)],[10149,996])).
% cnf(17109,negated_conjecture,(xn=sz00|xm=sz10|xk=sz00|sdtasdt0(xp,sz10)!=xn),inference(spm,[status(thm)],[17108,239,theory(equality)])).
% cnf(17112,plain,(xn=sz00|xm=sz00|sdtasdt0(xp,xk)!=sz00),inference(csr,[status(thm)],[10155,996])).
% cnf(17384,negated_conjecture,(xk=sz00|xm=sz10|xn=sz00|xp=sz00|xp!=xn),inference(spm,[status(thm)],[17109,7324,theory(equality)])).
% cnf(17653,negated_conjecture,(xk=sz00|xm=sz10|xn=sz00|xp=sz00),inference(csr,[status(thm)],[17384,12438])).
% cnf(17654,negated_conjecture,(xk=sz00|xm=sz10|xn=sz00),inference(csr,[status(thm)],[17653,996])).
% cnf(17660,negated_conjecture,(xm=sz00|xn=sz00|xm=sz10|sdtasdt0(xp,sz00)!=sz00),inference(spm,[status(thm)],[17112,17654,theory(equality)])).
% cnf(17713,negated_conjecture,(xm=sz10|xn=sz00|xm=sz00|~aNaturalNumber0(xp)),inference(spm,[status(thm)],[17660,87,theory(equality)])).
% cnf(17723,negated_conjecture,(xm=sz10|xn=sz00|xm=sz00|$false),inference(rw,[status(thm)],[17713,210,theory(equality)])).
% cnf(17724,negated_conjecture,(xm=sz10|xn=sz00|xm=sz00),inference(cn,[status(thm)],[17723,theory(equality)])).
% cnf(17732,negated_conjecture,(doDivides0(xp,sdtasdt0(xn,sz10))|xm=sz00|xn=sz00),inference(spm,[status(thm)],[216,17724,theory(equality)])).
% cnf(19108,negated_conjecture,(xn=sz00|xm=sz00|doDivides0(xp,xn)|~aNaturalNumber0(xn)),inference(spm,[status(thm)],[17732,82,theory(equality)])).
% cnf(19139,negated_conjecture,(xn=sz00|xm=sz00|doDivides0(xp,xn)|$false),inference(rw,[status(thm)],[19108,212,theory(equality)])).
% cnf(19140,negated_conjecture,(xn=sz00|xm=sz00|doDivides0(xp,xn)),inference(cn,[status(thm)],[19139,theory(equality)])).
% cnf(19141,negated_conjecture,(xn=sz00|xm=sz00),inference(sr,[status(thm)],[19140,238,theory(equality)])).
% cnf(19146,negated_conjecture,(xn=sz00|~doDivides0(xp,sz00)),inference(spm,[status(thm)],[237,19141,theory(equality)])).
% cnf(19216,negated_conjecture,(xn=sz00|$false),inference(rw,[status(thm)],[19146,6407,theory(equality)])).
% cnf(19217,negated_conjecture,(xn=sz00),inference(cn,[status(thm)],[19216,theory(equality)])).
% cnf(19415,negated_conjecture,($false),inference(rw,[status(thm)],[inference(rw,[status(thm)],[238,19217,theory(equality)]),6407,theory(equality)])).
% cnf(19416,negated_conjecture,($false),inference(cn,[status(thm)],[19415,theory(equality)])).
% cnf(19417,negated_conjecture,($false),19416,['proof']).
% # SZS output end CNFRefutation
% # Processed clauses : 1303
% # ...of these trivial : 20
% # ...subsumed : 539
% # ...remaining for further processing: 744
% # Other redundant clauses eliminated : 62
% # Clauses deleted for lack of memory : 0
% # Backward-subsumed : 63
% # Backward-rewritten : 175
% # Generated clauses : 6698
% # ...of the previous two non-trivial : 5656
% # Contextual simplify-reflections : 311
% # Paramodulations : 6547
% # Factorizations : 7
% # Equation resolutions : 144
% # Current number of processed clauses: 427
% # Positive orientable unit clauses: 68
% # Positive unorientable unit clauses: 0
% # Negative unit clauses : 7
% # Non-unit-clauses : 352
% # Current number of unprocessed clauses: 2939
% # ...number of literals in the above : 14647
% # Clause-clause subsumption calls (NU) : 5697
% # Rec. Clause-clause subsumption calls : 3450
% # Unit Clause-clause subsumption calls : 83
% # Rewrite failures with RHS unbound : 0
% # Indexed BW rewrite attempts : 30
% # Indexed BW rewrite successes : 23
% # Backwards rewriting index: 334 leaves, 1.23+/-0.917 terms/leaf
% # Paramod-from index: 238 leaves, 1.06+/-0.269 terms/leaf
% # Paramod-into index: 307 leaves, 1.16+/-0.761 terms/leaf
% # -------------------------------------------------
% # User time : 0.351 s
% # System time : 0.016 s
% # Total time : 0.367 s
% # Maximum resident set size: 0 pages
% PrfWatch: 0.73 CPU 0.83 WC
% FINAL PrfWatch: 0.73 CPU 0.83 WC
% SZS output end Solution for /tmp/SystemOnTPTP4053/NUM498+1.tptp
%
%------------------------------------------------------------------------------