TSTP Solution File: NUM466+1 by SRASS---0.1

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SRASS---0.1
% Problem  : NUM466+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 : art02.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 19:22:13 EST 2010

% Result   : Theorem 13.77s
% Output   : Solution 13.77s
% 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/SystemOnTPTP24481/NUM466+1.tptp
% Adding relevance values
% Extracting the conjecture
% Sorting axioms by relevance
% Looking for THM       ... 
% found
% SZS status THM for /tmp/SystemOnTPTP24481/NUM466+1.tptp
% SZS output start Solution for /tmp/SystemOnTPTP24481/NUM466+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 24577
% TreeLimitedRun: ----------------------------------------------------------
% PrfWatch: 0.00 CPU 0.00 WC
% PrfWatch: 1.93 CPU 2.01 WC
% PrfWatch: 3.91 CPU 4.01 WC
% PrfWatch: 5.90 CPU 6.02 WC
% # Preprocessing time     : 0.016 s
% # Problem is unsatisfiable (or provable), constructing proof object
% # SZS status Theorem
% PrfWatch: 7.90 CPU 8.02 WC
% PrfWatch: 9.53 CPU 10.03 WC
% PrfWatch: 11.17 CPU 12.03 WC
% # SZS output start CNFRefutation.
% fof(1, axiom,((aNaturalNumber0(xl)&aNaturalNumber0(xm))&aNaturalNumber0(xn)),file('/tmp/SRASS.s.p', m__1218)).
% fof(2, axiom,![X1]:![X2]:((aNaturalNumber0(X1)&aNaturalNumber0(X2))=>(doDivides0(X1,X2)<=>?[X3]:(aNaturalNumber0(X3)&X2=sdtasdt0(X1,X3)))),file('/tmp/SRASS.s.p', mDefDiv)).
% fof(3, axiom,![X1]:![X2]:((aNaturalNumber0(X1)&aNaturalNumber0(X2))=>aNaturalNumber0(sdtasdt0(X1,X2))),file('/tmp/SRASS.s.p', mSortsB_02)).
% fof(4, axiom,![X1]:![X2]:((aNaturalNumber0(X1)&aNaturalNumber0(X2))=>sdtasdt0(X1,X2)=sdtasdt0(X2,X1)),file('/tmp/SRASS.s.p', mMulComm)).
% fof(5, axiom,![X1]:![X2]:![X3]:(((aNaturalNumber0(X1)&aNaturalNumber0(X2))&aNaturalNumber0(X3))=>sdtasdt0(sdtasdt0(X1,X2),X3)=sdtasdt0(X1,sdtasdt0(X2,X3))),file('/tmp/SRASS.s.p', mMulAsso)).
% fof(6, axiom,aNaturalNumber0(sz00),file('/tmp/SRASS.s.p', mSortsC)).
% fof(10, axiom,![X1]:![X2]:![X3]:(((aNaturalNumber0(X1)&aNaturalNumber0(X2))&aNaturalNumber0(X3))=>((sdtpldt0(X1,X2)=sdtpldt0(X1,X3)|sdtpldt0(X2,X1)=sdtpldt0(X3,X1))=>X2=X3)),file('/tmp/SRASS.s.p', mAddCanc)).
% fof(11, axiom,![X1]:(aNaturalNumber0(X1)=>(sdtasdt0(X1,sz00)=sz00&sz00=sdtasdt0(sz00,X1))),file('/tmp/SRASS.s.p', m_MulZero)).
% fof(12, axiom,![X1]:![X2]:![X3]:(((aNaturalNumber0(X1)&aNaturalNumber0(X2))&aNaturalNumber0(X3))=>(sdtasdt0(X1,sdtpldt0(X2,X3))=sdtpldt0(sdtasdt0(X1,X2),sdtasdt0(X1,X3))&sdtasdt0(sdtpldt0(X2,X3),X1)=sdtpldt0(sdtasdt0(X2,X1),sdtasdt0(X3,X1)))),file('/tmp/SRASS.s.p', mAMDistr)).
% fof(13, 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(14, axiom,![X1]:![X2]:((aNaturalNumber0(X1)&aNaturalNumber0(X2))=>(sdtasdt0(X1,X2)=sz00=>(X1=sz00|X2=sz00))),file('/tmp/SRASS.s.p', mZeroMul)).
% fof(20, axiom,![X1]:(aNaturalNumber0(X1)=>(sdtasdt0(X1,sz10)=X1&X1=sdtasdt0(sz10,X1))),file('/tmp/SRASS.s.p', m_MulUnit)).
% fof(22, axiom,![X1]:![X2]:((aNaturalNumber0(X1)&aNaturalNumber0(X2))=>(~(X1=sz00)=>sdtlseqdt0(X2,sdtasdt0(X2,X1)))),file('/tmp/SRASS.s.p', mMonMul2)).
% fof(23, axiom,![X1]:(aNaturalNumber0(X1)=>(sdtpldt0(X1,sz00)=X1&X1=sdtpldt0(sz00,X1))),file('/tmp/SRASS.s.p', m_AddZero)).
% fof(24, axiom,![X1]:![X2]:((aNaturalNumber0(X1)&aNaturalNumber0(X2))=>(sdtpldt0(X1,X2)=sz00=>(X1=sz00&X2=sz00))),file('/tmp/SRASS.s.p', mZeroAdd)).
% fof(25, axiom,![X1]:![X2]:((aNaturalNumber0(X1)&aNaturalNumber0(X2))=>(sdtlseqdt0(X1,X2)<=>?[X3]:(aNaturalNumber0(X3)&sdtpldt0(X1,X3)=X2))),file('/tmp/SRASS.s.p', mDefLE)).
% fof(28, axiom,(aNaturalNumber0(sz10)&~(sz10=sz00)),file('/tmp/SRASS.s.p', mSortsC_01)).
% fof(30, axiom,![X1]:![X2]:((aNaturalNumber0(X1)&aNaturalNumber0(X2))=>(sdtlseqdt0(X1,X2)=>![X3]:(X3=sdtmndt0(X2,X1)<=>(aNaturalNumber0(X3)&sdtpldt0(X1,X3)=X2)))),file('/tmp/SRASS.s.p', mDefDiff)).
% fof(33, conjecture,((doDivides0(xl,xm)&doDivides0(xm,xn))=>doDivides0(xl,xn)),file('/tmp/SRASS.s.p', m__)).
% fof(34, negated_conjecture,~(((doDivides0(xl,xm)&doDivides0(xm,xn))=>doDivides0(xl,xn))),inference(assume_negation,[status(cth)],[33])).
% cnf(37,plain,(aNaturalNumber0(xn)),inference(split_conjunct,[status(thm)],[1])).
% cnf(38,plain,(aNaturalNumber0(xm)),inference(split_conjunct,[status(thm)],[1])).
% cnf(39,plain,(aNaturalNumber0(xl)),inference(split_conjunct,[status(thm)],[1])).
% fof(40, 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)],[2])).
% fof(41, 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)],[40])).
% fof(42, plain,![X4]:![X5]:((~(aNaturalNumber0(X4))|~(aNaturalNumber0(X5)))|((~(doDivides0(X4,X5))|(aNaturalNumber0(esk1_2(X4,X5))&X5=sdtasdt0(X4,esk1_2(X4,X5))))&(![X7]:(~(aNaturalNumber0(X7))|~(X5=sdtasdt0(X4,X7)))|doDivides0(X4,X5)))),inference(skolemize,[status(esa)],[41])).
% fof(43, plain,![X4]:![X5]:![X7]:((((~(aNaturalNumber0(X7))|~(X5=sdtasdt0(X4,X7)))|doDivides0(X4,X5))&(~(doDivides0(X4,X5))|(aNaturalNumber0(esk1_2(X4,X5))&X5=sdtasdt0(X4,esk1_2(X4,X5)))))|(~(aNaturalNumber0(X4))|~(aNaturalNumber0(X5)))),inference(shift_quantors,[status(thm)],[42])).
% fof(44, plain,![X4]:![X5]:![X7]:((((~(aNaturalNumber0(X7))|~(X5=sdtasdt0(X4,X7)))|doDivides0(X4,X5))|(~(aNaturalNumber0(X4))|~(aNaturalNumber0(X5))))&(((aNaturalNumber0(esk1_2(X4,X5))|~(doDivides0(X4,X5)))|(~(aNaturalNumber0(X4))|~(aNaturalNumber0(X5))))&((X5=sdtasdt0(X4,esk1_2(X4,X5))|~(doDivides0(X4,X5)))|(~(aNaturalNumber0(X4))|~(aNaturalNumber0(X5)))))),inference(distribute,[status(thm)],[43])).
% cnf(45,plain,(X1=sdtasdt0(X2,esk1_2(X2,X1))|~aNaturalNumber0(X1)|~aNaturalNumber0(X2)|~doDivides0(X2,X1)),inference(split_conjunct,[status(thm)],[44])).
% cnf(46,plain,(aNaturalNumber0(esk1_2(X2,X1))|~aNaturalNumber0(X1)|~aNaturalNumber0(X2)|~doDivides0(X2,X1)),inference(split_conjunct,[status(thm)],[44])).
% cnf(47,plain,(doDivides0(X2,X1)|~aNaturalNumber0(X1)|~aNaturalNumber0(X2)|X1!=sdtasdt0(X2,X3)|~aNaturalNumber0(X3)),inference(split_conjunct,[status(thm)],[44])).
% fof(48, plain,![X1]:![X2]:((~(aNaturalNumber0(X1))|~(aNaturalNumber0(X2)))|aNaturalNumber0(sdtasdt0(X1,X2))),inference(fof_nnf,[status(thm)],[3])).
% fof(49, plain,![X3]:![X4]:((~(aNaturalNumber0(X3))|~(aNaturalNumber0(X4)))|aNaturalNumber0(sdtasdt0(X3,X4))),inference(variable_rename,[status(thm)],[48])).
% cnf(50,plain,(aNaturalNumber0(sdtasdt0(X1,X2))|~aNaturalNumber0(X2)|~aNaturalNumber0(X1)),inference(split_conjunct,[status(thm)],[49])).
% fof(51, plain,![X1]:![X2]:((~(aNaturalNumber0(X1))|~(aNaturalNumber0(X2)))|sdtasdt0(X1,X2)=sdtasdt0(X2,X1)),inference(fof_nnf,[status(thm)],[4])).
% fof(52, plain,![X3]:![X4]:((~(aNaturalNumber0(X3))|~(aNaturalNumber0(X4)))|sdtasdt0(X3,X4)=sdtasdt0(X4,X3)),inference(variable_rename,[status(thm)],[51])).
% cnf(53,plain,(sdtasdt0(X1,X2)=sdtasdt0(X2,X1)|~aNaturalNumber0(X2)|~aNaturalNumber0(X1)),inference(split_conjunct,[status(thm)],[52])).
% fof(54, plain,![X1]:![X2]:![X3]:(((~(aNaturalNumber0(X1))|~(aNaturalNumber0(X2)))|~(aNaturalNumber0(X3)))|sdtasdt0(sdtasdt0(X1,X2),X3)=sdtasdt0(X1,sdtasdt0(X2,X3))),inference(fof_nnf,[status(thm)],[5])).
% fof(55, plain,![X4]:![X5]:![X6]:(((~(aNaturalNumber0(X4))|~(aNaturalNumber0(X5)))|~(aNaturalNumber0(X6)))|sdtasdt0(sdtasdt0(X4,X5),X6)=sdtasdt0(X4,sdtasdt0(X5,X6))),inference(variable_rename,[status(thm)],[54])).
% cnf(56,plain,(sdtasdt0(sdtasdt0(X1,X2),X3)=sdtasdt0(X1,sdtasdt0(X2,X3))|~aNaturalNumber0(X3)|~aNaturalNumber0(X2)|~aNaturalNumber0(X1)),inference(split_conjunct,[status(thm)],[55])).
% cnf(57,plain,(aNaturalNumber0(sz00)),inference(split_conjunct,[status(thm)],[6])).
% fof(67, plain,![X1]:![X2]:![X3]:(((~(aNaturalNumber0(X1))|~(aNaturalNumber0(X2)))|~(aNaturalNumber0(X3)))|((~(sdtpldt0(X1,X2)=sdtpldt0(X1,X3))&~(sdtpldt0(X2,X1)=sdtpldt0(X3,X1)))|X2=X3)),inference(fof_nnf,[status(thm)],[10])).
% fof(68, plain,![X4]:![X5]:![X6]:(((~(aNaturalNumber0(X4))|~(aNaturalNumber0(X5)))|~(aNaturalNumber0(X6)))|((~(sdtpldt0(X4,X5)=sdtpldt0(X4,X6))&~(sdtpldt0(X5,X4)=sdtpldt0(X6,X4)))|X5=X6)),inference(variable_rename,[status(thm)],[67])).
% fof(69, plain,![X4]:![X5]:![X6]:(((~(sdtpldt0(X4,X5)=sdtpldt0(X4,X6))|X5=X6)|((~(aNaturalNumber0(X4))|~(aNaturalNumber0(X5)))|~(aNaturalNumber0(X6))))&((~(sdtpldt0(X5,X4)=sdtpldt0(X6,X4))|X5=X6)|((~(aNaturalNumber0(X4))|~(aNaturalNumber0(X5)))|~(aNaturalNumber0(X6))))),inference(distribute,[status(thm)],[68])).
% cnf(71,plain,(X2=X1|~aNaturalNumber0(X1)|~aNaturalNumber0(X2)|~aNaturalNumber0(X3)|sdtpldt0(X3,X2)!=sdtpldt0(X3,X1)),inference(split_conjunct,[status(thm)],[69])).
% fof(72, plain,![X1]:(~(aNaturalNumber0(X1))|(sdtasdt0(X1,sz00)=sz00&sz00=sdtasdt0(sz00,X1))),inference(fof_nnf,[status(thm)],[11])).
% fof(73, plain,![X2]:(~(aNaturalNumber0(X2))|(sdtasdt0(X2,sz00)=sz00&sz00=sdtasdt0(sz00,X2))),inference(variable_rename,[status(thm)],[72])).
% fof(74, plain,![X2]:((sdtasdt0(X2,sz00)=sz00|~(aNaturalNumber0(X2)))&(sz00=sdtasdt0(sz00,X2)|~(aNaturalNumber0(X2)))),inference(distribute,[status(thm)],[73])).
% cnf(75,plain,(sz00=sdtasdt0(sz00,X1)|~aNaturalNumber0(X1)),inference(split_conjunct,[status(thm)],[74])).
% cnf(76,plain,(sdtasdt0(X1,sz00)=sz00|~aNaturalNumber0(X1)),inference(split_conjunct,[status(thm)],[74])).
% fof(77, plain,![X1]:![X2]:![X3]:(((~(aNaturalNumber0(X1))|~(aNaturalNumber0(X2)))|~(aNaturalNumber0(X3)))|(sdtasdt0(X1,sdtpldt0(X2,X3))=sdtpldt0(sdtasdt0(X1,X2),sdtasdt0(X1,X3))&sdtasdt0(sdtpldt0(X2,X3),X1)=sdtpldt0(sdtasdt0(X2,X1),sdtasdt0(X3,X1)))),inference(fof_nnf,[status(thm)],[12])).
% fof(78, plain,![X4]:![X5]:![X6]:(((~(aNaturalNumber0(X4))|~(aNaturalNumber0(X5)))|~(aNaturalNumber0(X6)))|(sdtasdt0(X4,sdtpldt0(X5,X6))=sdtpldt0(sdtasdt0(X4,X5),sdtasdt0(X4,X6))&sdtasdt0(sdtpldt0(X5,X6),X4)=sdtpldt0(sdtasdt0(X5,X4),sdtasdt0(X6,X4)))),inference(variable_rename,[status(thm)],[77])).
% fof(79, plain,![X4]:![X5]:![X6]:((sdtasdt0(X4,sdtpldt0(X5,X6))=sdtpldt0(sdtasdt0(X4,X5),sdtasdt0(X4,X6))|((~(aNaturalNumber0(X4))|~(aNaturalNumber0(X5)))|~(aNaturalNumber0(X6))))&(sdtasdt0(sdtpldt0(X5,X6),X4)=sdtpldt0(sdtasdt0(X5,X4),sdtasdt0(X6,X4))|((~(aNaturalNumber0(X4))|~(aNaturalNumber0(X5)))|~(aNaturalNumber0(X6))))),inference(distribute,[status(thm)],[78])).
% cnf(80,plain,(sdtasdt0(sdtpldt0(X2,X1),X3)=sdtpldt0(sdtasdt0(X2,X3),sdtasdt0(X1,X3))|~aNaturalNumber0(X1)|~aNaturalNumber0(X2)|~aNaturalNumber0(X3)),inference(split_conjunct,[status(thm)],[79])).
% cnf(81,plain,(sdtasdt0(X3,sdtpldt0(X2,X1))=sdtpldt0(sdtasdt0(X3,X2),sdtasdt0(X3,X1))|~aNaturalNumber0(X1)|~aNaturalNumber0(X2)|~aNaturalNumber0(X3)),inference(split_conjunct,[status(thm)],[79])).
% fof(82, 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)],[13])).
% fof(83, 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)],[82])).
% fof(84, 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)],[83])).
% fof(85, 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)],[84])).
% cnf(86,plain,(X1=sz00|X3=X2|~aNaturalNumber0(X1)|~aNaturalNumber0(X2)|~aNaturalNumber0(X3)|sdtasdt0(X3,X1)!=sdtasdt0(X2,X1)),inference(split_conjunct,[status(thm)],[85])).
% cnf(87,plain,(X1=sz00|X3=X2|~aNaturalNumber0(X1)|~aNaturalNumber0(X2)|~aNaturalNumber0(X3)|sdtasdt0(X1,X3)!=sdtasdt0(X1,X2)),inference(split_conjunct,[status(thm)],[85])).
% fof(88, plain,![X1]:![X2]:((~(aNaturalNumber0(X1))|~(aNaturalNumber0(X2)))|(~(sdtasdt0(X1,X2)=sz00)|(X1=sz00|X2=sz00))),inference(fof_nnf,[status(thm)],[14])).
% fof(89, plain,![X3]:![X4]:((~(aNaturalNumber0(X3))|~(aNaturalNumber0(X4)))|(~(sdtasdt0(X3,X4)=sz00)|(X3=sz00|X4=sz00))),inference(variable_rename,[status(thm)],[88])).
% cnf(90,plain,(X1=sz00|X2=sz00|sdtasdt0(X2,X1)!=sz00|~aNaturalNumber0(X1)|~aNaturalNumber0(X2)),inference(split_conjunct,[status(thm)],[89])).
% fof(112, plain,![X1]:(~(aNaturalNumber0(X1))|(sdtasdt0(X1,sz10)=X1&X1=sdtasdt0(sz10,X1))),inference(fof_nnf,[status(thm)],[20])).
% fof(113, plain,![X2]:(~(aNaturalNumber0(X2))|(sdtasdt0(X2,sz10)=X2&X2=sdtasdt0(sz10,X2))),inference(variable_rename,[status(thm)],[112])).
% fof(114, plain,![X2]:((sdtasdt0(X2,sz10)=X2|~(aNaturalNumber0(X2)))&(X2=sdtasdt0(sz10,X2)|~(aNaturalNumber0(X2)))),inference(distribute,[status(thm)],[113])).
% cnf(115,plain,(X1=sdtasdt0(sz10,X1)|~aNaturalNumber0(X1)),inference(split_conjunct,[status(thm)],[114])).
% fof(124, plain,![X1]:![X2]:((~(aNaturalNumber0(X1))|~(aNaturalNumber0(X2)))|(X1=sz00|sdtlseqdt0(X2,sdtasdt0(X2,X1)))),inference(fof_nnf,[status(thm)],[22])).
% fof(125, plain,![X3]:![X4]:((~(aNaturalNumber0(X3))|~(aNaturalNumber0(X4)))|(X3=sz00|sdtlseqdt0(X4,sdtasdt0(X4,X3)))),inference(variable_rename,[status(thm)],[124])).
% cnf(126,plain,(sdtlseqdt0(X1,sdtasdt0(X1,X2))|X2=sz00|~aNaturalNumber0(X1)|~aNaturalNumber0(X2)),inference(split_conjunct,[status(thm)],[125])).
% fof(127, plain,![X1]:(~(aNaturalNumber0(X1))|(sdtpldt0(X1,sz00)=X1&X1=sdtpldt0(sz00,X1))),inference(fof_nnf,[status(thm)],[23])).
% fof(128, plain,![X2]:(~(aNaturalNumber0(X2))|(sdtpldt0(X2,sz00)=X2&X2=sdtpldt0(sz00,X2))),inference(variable_rename,[status(thm)],[127])).
% fof(129, plain,![X2]:((sdtpldt0(X2,sz00)=X2|~(aNaturalNumber0(X2)))&(X2=sdtpldt0(sz00,X2)|~(aNaturalNumber0(X2)))),inference(distribute,[status(thm)],[128])).
% cnf(131,plain,(sdtpldt0(X1,sz00)=X1|~aNaturalNumber0(X1)),inference(split_conjunct,[status(thm)],[129])).
% fof(132, plain,![X1]:![X2]:((~(aNaturalNumber0(X1))|~(aNaturalNumber0(X2)))|(~(sdtpldt0(X1,X2)=sz00)|(X1=sz00&X2=sz00))),inference(fof_nnf,[status(thm)],[24])).
% fof(133, plain,![X3]:![X4]:((~(aNaturalNumber0(X3))|~(aNaturalNumber0(X4)))|(~(sdtpldt0(X3,X4)=sz00)|(X3=sz00&X4=sz00))),inference(variable_rename,[status(thm)],[132])).
% fof(134, 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)],[133])).
% cnf(135,plain,(X1=sz00|~aNaturalNumber0(X1)|~aNaturalNumber0(X2)|sdtpldt0(X2,X1)!=sz00),inference(split_conjunct,[status(thm)],[134])).
% fof(137, 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)],[25])).
% fof(138, 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)],[137])).
% fof(139, plain,![X4]:![X5]:((~(aNaturalNumber0(X4))|~(aNaturalNumber0(X5)))|((~(sdtlseqdt0(X4,X5))|(aNaturalNumber0(esk2_2(X4,X5))&sdtpldt0(X4,esk2_2(X4,X5))=X5))&(![X7]:(~(aNaturalNumber0(X7))|~(sdtpldt0(X4,X7)=X5))|sdtlseqdt0(X4,X5)))),inference(skolemize,[status(esa)],[138])).
% fof(140, plain,![X4]:![X5]:![X7]:((((~(aNaturalNumber0(X7))|~(sdtpldt0(X4,X7)=X5))|sdtlseqdt0(X4,X5))&(~(sdtlseqdt0(X4,X5))|(aNaturalNumber0(esk2_2(X4,X5))&sdtpldt0(X4,esk2_2(X4,X5))=X5)))|(~(aNaturalNumber0(X4))|~(aNaturalNumber0(X5)))),inference(shift_quantors,[status(thm)],[139])).
% fof(141, plain,![X4]:![X5]:![X7]:((((~(aNaturalNumber0(X7))|~(sdtpldt0(X4,X7)=X5))|sdtlseqdt0(X4,X5))|(~(aNaturalNumber0(X4))|~(aNaturalNumber0(X5))))&(((aNaturalNumber0(esk2_2(X4,X5))|~(sdtlseqdt0(X4,X5)))|(~(aNaturalNumber0(X4))|~(aNaturalNumber0(X5))))&((sdtpldt0(X4,esk2_2(X4,X5))=X5|~(sdtlseqdt0(X4,X5)))|(~(aNaturalNumber0(X4))|~(aNaturalNumber0(X5)))))),inference(distribute,[status(thm)],[140])).
% cnf(142,plain,(sdtpldt0(X2,esk2_2(X2,X1))=X1|~aNaturalNumber0(X1)|~aNaturalNumber0(X2)|~sdtlseqdt0(X2,X1)),inference(split_conjunct,[status(thm)],[141])).
% cnf(143,plain,(aNaturalNumber0(esk2_2(X2,X1))|~aNaturalNumber0(X1)|~aNaturalNumber0(X2)|~sdtlseqdt0(X2,X1)),inference(split_conjunct,[status(thm)],[141])).
% cnf(155,plain,(sz10!=sz00),inference(split_conjunct,[status(thm)],[28])).
% cnf(156,plain,(aNaturalNumber0(sz10)),inference(split_conjunct,[status(thm)],[28])).
% fof(162, plain,![X1]:![X2]:((~(aNaturalNumber0(X1))|~(aNaturalNumber0(X2)))|(~(sdtlseqdt0(X1,X2))|![X3]:((~(X3=sdtmndt0(X2,X1))|(aNaturalNumber0(X3)&sdtpldt0(X1,X3)=X2))&((~(aNaturalNumber0(X3))|~(sdtpldt0(X1,X3)=X2))|X3=sdtmndt0(X2,X1))))),inference(fof_nnf,[status(thm)],[30])).
% fof(163, plain,![X4]:![X5]:((~(aNaturalNumber0(X4))|~(aNaturalNumber0(X5)))|(~(sdtlseqdt0(X4,X5))|![X6]:((~(X6=sdtmndt0(X5,X4))|(aNaturalNumber0(X6)&sdtpldt0(X4,X6)=X5))&((~(aNaturalNumber0(X6))|~(sdtpldt0(X4,X6)=X5))|X6=sdtmndt0(X5,X4))))),inference(variable_rename,[status(thm)],[162])).
% fof(164, plain,![X4]:![X5]:![X6]:((((~(X6=sdtmndt0(X5,X4))|(aNaturalNumber0(X6)&sdtpldt0(X4,X6)=X5))&((~(aNaturalNumber0(X6))|~(sdtpldt0(X4,X6)=X5))|X6=sdtmndt0(X5,X4)))|~(sdtlseqdt0(X4,X5)))|(~(aNaturalNumber0(X4))|~(aNaturalNumber0(X5)))),inference(shift_quantors,[status(thm)],[163])).
% fof(165, plain,![X4]:![X5]:![X6]:(((((aNaturalNumber0(X6)|~(X6=sdtmndt0(X5,X4)))|~(sdtlseqdt0(X4,X5)))|(~(aNaturalNumber0(X4))|~(aNaturalNumber0(X5))))&(((sdtpldt0(X4,X6)=X5|~(X6=sdtmndt0(X5,X4)))|~(sdtlseqdt0(X4,X5)))|(~(aNaturalNumber0(X4))|~(aNaturalNumber0(X5)))))&((((~(aNaturalNumber0(X6))|~(sdtpldt0(X4,X6)=X5))|X6=sdtmndt0(X5,X4))|~(sdtlseqdt0(X4,X5)))|(~(aNaturalNumber0(X4))|~(aNaturalNumber0(X5))))),inference(distribute,[status(thm)],[164])).
% cnf(167,plain,(sdtpldt0(X2,X3)=X1|~aNaturalNumber0(X1)|~aNaturalNumber0(X2)|~sdtlseqdt0(X2,X1)|X3!=sdtmndt0(X1,X2)),inference(split_conjunct,[status(thm)],[165])).
% cnf(168,plain,(aNaturalNumber0(X3)|~aNaturalNumber0(X1)|~aNaturalNumber0(X2)|~sdtlseqdt0(X2,X1)|X3!=sdtmndt0(X1,X2)),inference(split_conjunct,[status(thm)],[165])).
% fof(174, negated_conjecture,((doDivides0(xl,xm)&doDivides0(xm,xn))&~(doDivides0(xl,xn))),inference(fof_nnf,[status(thm)],[34])).
% cnf(175,negated_conjecture,(~doDivides0(xl,xn)),inference(split_conjunct,[status(thm)],[174])).
% cnf(176,negated_conjecture,(doDivides0(xm,xn)),inference(split_conjunct,[status(thm)],[174])).
% cnf(177,negated_conjecture,(doDivides0(xl,xm)),inference(split_conjunct,[status(thm)],[174])).
% cnf(205,negated_conjecture,(aNaturalNumber0(esk1_2(xm,xn))|~aNaturalNumber0(xm)|~aNaturalNumber0(xn)),inference(spm,[status(thm)],[46,176,theory(equality)])).
% cnf(206,negated_conjecture,(aNaturalNumber0(esk1_2(xl,xm))|~aNaturalNumber0(xl)|~aNaturalNumber0(xm)),inference(spm,[status(thm)],[46,177,theory(equality)])).
% cnf(207,negated_conjecture,(aNaturalNumber0(esk1_2(xm,xn))|$false|~aNaturalNumber0(xn)),inference(rw,[status(thm)],[205,38,theory(equality)])).
% cnf(208,negated_conjecture,(aNaturalNumber0(esk1_2(xm,xn))|$false|$false),inference(rw,[status(thm)],[207,37,theory(equality)])).
% cnf(209,negated_conjecture,(aNaturalNumber0(esk1_2(xm,xn))),inference(cn,[status(thm)],[208,theory(equality)])).
% cnf(210,negated_conjecture,(aNaturalNumber0(esk1_2(xl,xm))|$false|~aNaturalNumber0(xm)),inference(rw,[status(thm)],[206,39,theory(equality)])).
% cnf(211,negated_conjecture,(aNaturalNumber0(esk1_2(xl,xm))|$false|$false),inference(rw,[status(thm)],[210,38,theory(equality)])).
% cnf(212,negated_conjecture,(aNaturalNumber0(esk1_2(xl,xm))),inference(cn,[status(thm)],[211,theory(equality)])).
% cnf(270,plain,(doDivides0(X1,sdtasdt0(X1,X2))|~aNaturalNumber0(X2)|~aNaturalNumber0(X1)|~aNaturalNumber0(sdtasdt0(X1,X2))),inference(er,[status(thm)],[47,theory(equality)])).
% cnf(275,plain,(doDivides0(X1,X2)|sdtasdt0(X3,X1)!=X2|~aNaturalNumber0(X3)|~aNaturalNumber0(X1)|~aNaturalNumber0(X2)),inference(spm,[status(thm)],[47,53,theory(equality)])).
% cnf(295,plain,(aNaturalNumber0(sdtmndt0(X1,X2))|~sdtlseqdt0(X2,X1)|~aNaturalNumber0(X2)|~aNaturalNumber0(X1)),inference(er,[status(thm)],[168,theory(equality)])).
% cnf(301,plain,(sz00=X1|sdtlseqdt0(X2,sdtasdt0(X1,X2))|~aNaturalNumber0(X1)|~aNaturalNumber0(X2)),inference(spm,[status(thm)],[126,53,theory(equality)])).
% cnf(329,plain,(X1=sz00|sdtpldt0(X2,X1)!=X2|~aNaturalNumber0(X2)|~aNaturalNumber0(sz00)|~aNaturalNumber0(X1)),inference(spm,[status(thm)],[71,131,theory(equality)])).
% cnf(338,plain,(X1=sz00|sdtpldt0(X2,X1)!=X2|~aNaturalNumber0(X2)|$false|~aNaturalNumber0(X1)),inference(rw,[status(thm)],[329,57,theory(equality)])).
% cnf(339,plain,(X1=sz00|sdtpldt0(X2,X1)!=X2|~aNaturalNumber0(X2)|~aNaturalNumber0(X1)),inference(cn,[status(thm)],[338,theory(equality)])).
% cnf(361,negated_conjecture,(sdtasdt0(xm,esk1_2(xm,xn))=xn|~aNaturalNumber0(xm)|~aNaturalNumber0(xn)),inference(spm,[status(thm)],[45,176,theory(equality)])).
% cnf(362,negated_conjecture,(sdtasdt0(xl,esk1_2(xl,xm))=xm|~aNaturalNumber0(xl)|~aNaturalNumber0(xm)),inference(spm,[status(thm)],[45,177,theory(equality)])).
% cnf(363,negated_conjecture,(sdtasdt0(xm,esk1_2(xm,xn))=xn|$false|~aNaturalNumber0(xn)),inference(rw,[status(thm)],[361,38,theory(equality)])).
% cnf(364,negated_conjecture,(sdtasdt0(xm,esk1_2(xm,xn))=xn|$false|$false),inference(rw,[status(thm)],[363,37,theory(equality)])).
% cnf(365,negated_conjecture,(sdtasdt0(xm,esk1_2(xm,xn))=xn),inference(cn,[status(thm)],[364,theory(equality)])).
% cnf(366,negated_conjecture,(sdtasdt0(xl,esk1_2(xl,xm))=xm|$false|~aNaturalNumber0(xm)),inference(rw,[status(thm)],[362,39,theory(equality)])).
% cnf(367,negated_conjecture,(sdtasdt0(xl,esk1_2(xl,xm))=xm|$false|$false),inference(rw,[status(thm)],[366,38,theory(equality)])).
% cnf(368,negated_conjecture,(sdtasdt0(xl,esk1_2(xl,xm))=xm),inference(cn,[status(thm)],[367,theory(equality)])).
% cnf(384,plain,(sdtpldt0(X1,sdtmndt0(X2,X1))=X2|~sdtlseqdt0(X1,X2)|~aNaturalNumber0(X1)|~aNaturalNumber0(X2)),inference(er,[status(thm)],[167,theory(equality)])).
% cnf(453,plain,(sdtasdt0(X1,sdtasdt0(X2,X3))=sdtasdt0(X2,sdtasdt0(X3,X1))|~aNaturalNumber0(sdtasdt0(X2,X3))|~aNaturalNumber0(X1)|~aNaturalNumber0(X3)|~aNaturalNumber0(X2)),inference(spm,[status(thm)],[53,56,theory(equality)])).
% cnf(463,plain,(sdtasdt0(X1,X2)=sdtasdt0(sz10,sdtasdt0(X1,X2))|~aNaturalNumber0(X2)|~aNaturalNumber0(X1)|~aNaturalNumber0(sz10)),inference(spm,[status(thm)],[56,115,theory(equality)])).
% cnf(473,plain,(sdtasdt0(X1,X2)=sdtasdt0(sz10,sdtasdt0(X1,X2))|~aNaturalNumber0(X2)|~aNaturalNumber0(X1)|$false),inference(rw,[status(thm)],[463,156,theory(equality)])).
% cnf(474,plain,(sdtasdt0(X1,X2)=sdtasdt0(sz10,sdtasdt0(X1,X2))|~aNaturalNumber0(X2)|~aNaturalNumber0(X1)),inference(cn,[status(thm)],[473,theory(equality)])).
% cnf(541,plain,(sz00=sdtasdt0(X1,X2)|sdtasdt0(X1,sdtpldt0(X3,X2))!=sz00|~aNaturalNumber0(sdtasdt0(X1,X3))|~aNaturalNumber0(sdtasdt0(X1,X2))|~aNaturalNumber0(X1)|~aNaturalNumber0(X3)|~aNaturalNumber0(X2)),inference(spm,[status(thm)],[135,81,theory(equality)])).
% cnf(554,plain,(sdtpldt0(sdtasdt0(sz00,X1),sz00)=sdtasdt0(sz00,sdtpldt0(X1,X2))|~aNaturalNumber0(sz00)|~aNaturalNumber0(X1)|~aNaturalNumber0(X2)),inference(spm,[status(thm)],[81,75,theory(equality)])).
% cnf(557,plain,(sdtpldt0(sdtasdt0(X1,X2),sz00)=sdtasdt0(X1,sdtpldt0(X2,sz00))|~aNaturalNumber0(X1)|~aNaturalNumber0(X2)|~aNaturalNumber0(sz00)),inference(spm,[status(thm)],[81,76,theory(equality)])).
% cnf(569,plain,(sdtpldt0(sdtasdt0(sz00,X1),sz00)=sdtasdt0(sz00,sdtpldt0(X1,X2))|$false|~aNaturalNumber0(X1)|~aNaturalNumber0(X2)),inference(rw,[status(thm)],[554,57,theory(equality)])).
% cnf(570,plain,(sdtpldt0(sdtasdt0(sz00,X1),sz00)=sdtasdt0(sz00,sdtpldt0(X1,X2))|~aNaturalNumber0(X1)|~aNaturalNumber0(X2)),inference(cn,[status(thm)],[569,theory(equality)])).
% cnf(573,plain,(sdtpldt0(sdtasdt0(X1,X2),sz00)=sdtasdt0(X1,sdtpldt0(X2,sz00))|~aNaturalNumber0(X1)|~aNaturalNumber0(X2)|$false),inference(rw,[status(thm)],[557,57,theory(equality)])).
% cnf(574,plain,(sdtpldt0(sdtasdt0(X1,X2),sz00)=sdtasdt0(X1,sdtpldt0(X2,sz00))|~aNaturalNumber0(X1)|~aNaturalNumber0(X2)),inference(cn,[status(thm)],[573,theory(equality)])).
% cnf(583,plain,(sz00=sdtasdt0(X1,X2)|sdtasdt0(sdtpldt0(X3,X1),X2)!=sz00|~aNaturalNumber0(sdtasdt0(X3,X2))|~aNaturalNumber0(sdtasdt0(X1,X2))|~aNaturalNumber0(X2)|~aNaturalNumber0(X3)|~aNaturalNumber0(X1)),inference(spm,[status(thm)],[135,80,theory(equality)])).
% cnf(597,plain,(sdtpldt0(sdtasdt0(X1,X2),sz00)=sdtasdt0(sdtpldt0(X1,sz00),X2)|~aNaturalNumber0(X2)|~aNaturalNumber0(X1)|~aNaturalNumber0(sz00)),inference(spm,[status(thm)],[80,75,theory(equality)])).
% cnf(612,plain,(sdtpldt0(sdtasdt0(X1,X2),sz00)=sdtasdt0(sdtpldt0(X1,sz00),X2)|~aNaturalNumber0(X2)|~aNaturalNumber0(X1)|$false),inference(rw,[status(thm)],[597,57,theory(equality)])).
% cnf(613,plain,(sdtpldt0(sdtasdt0(X1,X2),sz00)=sdtasdt0(sdtpldt0(X1,sz00),X2)|~aNaturalNumber0(X2)|~aNaturalNumber0(X1)),inference(cn,[status(thm)],[612,theory(equality)])).
% cnf(634,negated_conjecture,(sz00=esk1_2(xm,xn)|xm=X1|xn!=sdtasdt0(X1,esk1_2(xm,xn))|~aNaturalNumber0(X1)|~aNaturalNumber0(xm)|~aNaturalNumber0(esk1_2(xm,xn))),inference(spm,[status(thm)],[86,365,theory(equality)])).
% cnf(637,negated_conjecture,(sdtasdt0(xn,X1)=sdtasdt0(xm,sdtasdt0(esk1_2(xm,xn),X1))|~aNaturalNumber0(X1)|~aNaturalNumber0(esk1_2(xm,xn))|~aNaturalNumber0(xm)),inference(spm,[status(thm)],[56,365,theory(equality)])).
% cnf(652,negated_conjecture,(sz00=esk1_2(xm,xn)|xm=X1|xn!=sdtasdt0(X1,esk1_2(xm,xn))|~aNaturalNumber0(X1)|$false|~aNaturalNumber0(esk1_2(xm,xn))),inference(rw,[status(thm)],[634,38,theory(equality)])).
% cnf(653,negated_conjecture,(sz00=esk1_2(xm,xn)|xm=X1|xn!=sdtasdt0(X1,esk1_2(xm,xn))|~aNaturalNumber0(X1)|$false|$false),inference(rw,[status(thm)],[652,209,theory(equality)])).
% cnf(654,negated_conjecture,(sz00=esk1_2(xm,xn)|xm=X1|xn!=sdtasdt0(X1,esk1_2(xm,xn))|~aNaturalNumber0(X1)),inference(cn,[status(thm)],[653,theory(equality)])).
% cnf(662,negated_conjecture,(sdtasdt0(xn,X1)=sdtasdt0(xm,sdtasdt0(esk1_2(xm,xn),X1))|~aNaturalNumber0(X1)|$false|~aNaturalNumber0(xm)),inference(rw,[status(thm)],[637,209,theory(equality)])).
% cnf(663,negated_conjecture,(sdtasdt0(xn,X1)=sdtasdt0(xm,sdtasdt0(esk1_2(xm,xn),X1))|~aNaturalNumber0(X1)|$false|$false),inference(rw,[status(thm)],[662,38,theory(equality)])).
% cnf(664,negated_conjecture,(sdtasdt0(xn,X1)=sdtasdt0(xm,sdtasdt0(esk1_2(xm,xn),X1))|~aNaturalNumber0(X1)),inference(cn,[status(thm)],[663,theory(equality)])).
% cnf(694,negated_conjecture,(sdtasdt0(xm,X1)=sdtasdt0(xl,sdtasdt0(esk1_2(xl,xm),X1))|~aNaturalNumber0(X1)|~aNaturalNumber0(esk1_2(xl,xm))|~aNaturalNumber0(xl)),inference(spm,[status(thm)],[56,368,theory(equality)])).
% cnf(719,negated_conjecture,(sdtasdt0(xm,X1)=sdtasdt0(xl,sdtasdt0(esk1_2(xl,xm),X1))|~aNaturalNumber0(X1)|$false|~aNaturalNumber0(xl)),inference(rw,[status(thm)],[694,212,theory(equality)])).
% cnf(720,negated_conjecture,(sdtasdt0(xm,X1)=sdtasdt0(xl,sdtasdt0(esk1_2(xl,xm),X1))|~aNaturalNumber0(X1)|$false|$false),inference(rw,[status(thm)],[719,39,theory(equality)])).
% cnf(721,negated_conjecture,(sdtasdt0(xm,X1)=sdtasdt0(xl,sdtasdt0(esk1_2(xl,xm),X1))|~aNaturalNumber0(X1)),inference(cn,[status(thm)],[720,theory(equality)])).
% cnf(982,negated_conjecture,(esk1_2(xm,xn)=sz00|xm=X1|sdtasdt0(esk1_2(xm,xn),X1)!=xn|~aNaturalNumber0(X1)|~aNaturalNumber0(esk1_2(xm,xn))),inference(spm,[status(thm)],[654,53,theory(equality)])).
% cnf(992,negated_conjecture,(esk1_2(xm,xn)=sz00|xm=X1|sdtasdt0(esk1_2(xm,xn),X1)!=xn|~aNaturalNumber0(X1)|$false),inference(rw,[status(thm)],[982,209,theory(equality)])).
% cnf(993,negated_conjecture,(esk1_2(xm,xn)=sz00|xm=X1|sdtasdt0(esk1_2(xm,xn),X1)!=xn|~aNaturalNumber0(X1)),inference(cn,[status(thm)],[992,theory(equality)])).
% cnf(1591,plain,(doDivides0(X1,sdtasdt0(X1,X2))|~aNaturalNumber0(X2)|~aNaturalNumber0(X1)),inference(csr,[status(thm)],[270,50])).
% cnf(1595,plain,(doDivides0(sz00,sz00)|~aNaturalNumber0(X1)|~aNaturalNumber0(sz00)),inference(spm,[status(thm)],[1591,75,theory(equality)])).
% cnf(1607,plain,(doDivides0(sz00,sz00)|~aNaturalNumber0(X1)|$false),inference(rw,[status(thm)],[1595,57,theory(equality)])).
% cnf(1608,plain,(doDivides0(sz00,sz00)|~aNaturalNumber0(X1)),inference(cn,[status(thm)],[1607,theory(equality)])).
% cnf(1638,negated_conjecture,(doDivides0(sz00,sz00)),inference(spm,[status(thm)],[1608,209,theory(equality)])).
% cnf(1650,negated_conjecture,(aNaturalNumber0(esk1_2(sz00,sz00))|~aNaturalNumber0(sz00)),inference(spm,[status(thm)],[46,1638,theory(equality)])).
% cnf(1651,negated_conjecture,(sdtasdt0(sz00,esk1_2(sz00,sz00))=sz00|~aNaturalNumber0(sz00)),inference(spm,[status(thm)],[45,1638,theory(equality)])).
% cnf(1652,negated_conjecture,(aNaturalNumber0(esk1_2(sz00,sz00))|$false),inference(rw,[status(thm)],[1650,57,theory(equality)])).
% cnf(1653,negated_conjecture,(aNaturalNumber0(esk1_2(sz00,sz00))),inference(cn,[status(thm)],[1652,theory(equality)])).
% cnf(1654,negated_conjecture,(sdtasdt0(sz00,esk1_2(sz00,sz00))=sz00|$false),inference(rw,[status(thm)],[1651,57,theory(equality)])).
% cnf(1655,negated_conjecture,(sdtasdt0(sz00,esk1_2(sz00,sz00))=sz00),inference(cn,[status(thm)],[1654,theory(equality)])).
% cnf(1784,negated_conjecture,(doDivides0(esk1_2(xm,xn),X1)|xn!=X1|~aNaturalNumber0(xm)|~aNaturalNumber0(esk1_2(xm,xn))|~aNaturalNumber0(X1)),inference(spm,[status(thm)],[275,365,theory(equality)])).
% cnf(1786,negated_conjecture,(doDivides0(esk1_2(xl,xm),X1)|xm!=X1|~aNaturalNumber0(xl)|~aNaturalNumber0(esk1_2(xl,xm))|~aNaturalNumber0(X1)),inference(spm,[status(thm)],[275,368,theory(equality)])).
% cnf(1800,negated_conjecture,(doDivides0(esk1_2(xm,xn),X1)|xn!=X1|$false|~aNaturalNumber0(esk1_2(xm,xn))|~aNaturalNumber0(X1)),inference(rw,[status(thm)],[1784,38,theory(equality)])).
% cnf(1801,negated_conjecture,(doDivides0(esk1_2(xm,xn),X1)|xn!=X1|$false|$false|~aNaturalNumber0(X1)),inference(rw,[status(thm)],[1800,209,theory(equality)])).
% cnf(1802,negated_conjecture,(doDivides0(esk1_2(xm,xn),X1)|xn!=X1|~aNaturalNumber0(X1)),inference(cn,[status(thm)],[1801,theory(equality)])).
% cnf(1805,negated_conjecture,(doDivides0(esk1_2(xl,xm),X1)|xm!=X1|$false|~aNaturalNumber0(esk1_2(xl,xm))|~aNaturalNumber0(X1)),inference(rw,[status(thm)],[1786,39,theory(equality)])).
% cnf(1806,negated_conjecture,(doDivides0(esk1_2(xl,xm),X1)|xm!=X1|$false|$false|~aNaturalNumber0(X1)),inference(rw,[status(thm)],[1805,212,theory(equality)])).
% cnf(1807,negated_conjecture,(doDivides0(esk1_2(xl,xm),X1)|xm!=X1|~aNaturalNumber0(X1)),inference(cn,[status(thm)],[1806,theory(equality)])).
% cnf(1931,negated_conjecture,(doDivides0(esk1_2(xm,xn),xn)|~aNaturalNumber0(xn)),inference(er,[status(thm)],[1802,theory(equality)])).
% cnf(1932,negated_conjecture,(doDivides0(esk1_2(xm,xn),xn)|$false),inference(rw,[status(thm)],[1931,37,theory(equality)])).
% cnf(1933,negated_conjecture,(doDivides0(esk1_2(xm,xn),xn)),inference(cn,[status(thm)],[1932,theory(equality)])).
% cnf(1934,negated_conjecture,(aNaturalNumber0(esk1_2(esk1_2(xm,xn),xn))|~aNaturalNumber0(esk1_2(xm,xn))|~aNaturalNumber0(xn)),inference(spm,[status(thm)],[46,1933,theory(equality)])).
% cnf(1935,negated_conjecture,(sdtasdt0(esk1_2(xm,xn),esk1_2(esk1_2(xm,xn),xn))=xn|~aNaturalNumber0(esk1_2(xm,xn))|~aNaturalNumber0(xn)),inference(spm,[status(thm)],[45,1933,theory(equality)])).
% cnf(1938,negated_conjecture,(aNaturalNumber0(esk1_2(esk1_2(xm,xn),xn))|$false|~aNaturalNumber0(xn)),inference(rw,[status(thm)],[1934,209,theory(equality)])).
% cnf(1939,negated_conjecture,(aNaturalNumber0(esk1_2(esk1_2(xm,xn),xn))|$false|$false),inference(rw,[status(thm)],[1938,37,theory(equality)])).
% cnf(1940,negated_conjecture,(aNaturalNumber0(esk1_2(esk1_2(xm,xn),xn))),inference(cn,[status(thm)],[1939,theory(equality)])).
% cnf(1941,negated_conjecture,(sdtasdt0(esk1_2(xm,xn),esk1_2(esk1_2(xm,xn),xn))=xn|$false|~aNaturalNumber0(xn)),inference(rw,[status(thm)],[1935,209,theory(equality)])).
% cnf(1942,negated_conjecture,(sdtasdt0(esk1_2(xm,xn),esk1_2(esk1_2(xm,xn),xn))=xn|$false|$false),inference(rw,[status(thm)],[1941,37,theory(equality)])).
% cnf(1943,negated_conjecture,(sdtasdt0(esk1_2(xm,xn),esk1_2(esk1_2(xm,xn),xn))=xn),inference(cn,[status(thm)],[1942,theory(equality)])).
% cnf(1978,negated_conjecture,(esk1_2(xm,xn)=sz00|xm=esk1_2(esk1_2(xm,xn),xn)|~aNaturalNumber0(esk1_2(esk1_2(xm,xn),xn))),inference(spm,[status(thm)],[993,1943,theory(equality)])).
% cnf(2033,negated_conjecture,(esk1_2(xm,xn)=sz00|xm=esk1_2(esk1_2(xm,xn),xn)|$false),inference(rw,[status(thm)],[1978,1940,theory(equality)])).
% cnf(2034,negated_conjecture,(esk1_2(xm,xn)=sz00|xm=esk1_2(esk1_2(xm,xn),xn)),inference(cn,[status(thm)],[2033,theory(equality)])).
% cnf(2036,negated_conjecture,(sdtasdt0(esk1_2(xm,xn),xm)=xn|esk1_2(xm,xn)=sz00),inference(spm,[status(thm)],[1943,2034,theory(equality)])).
% cnf(2233,negated_conjecture,(doDivides0(esk1_2(xl,xm),xm)|~aNaturalNumber0(xm)),inference(er,[status(thm)],[1807,theory(equality)])).
% cnf(2234,negated_conjecture,(doDivides0(esk1_2(xl,xm),xm)|$false),inference(rw,[status(thm)],[2233,38,theory(equality)])).
% cnf(2235,negated_conjecture,(doDivides0(esk1_2(xl,xm),xm)),inference(cn,[status(thm)],[2234,theory(equality)])).
% cnf(2236,negated_conjecture,(aNaturalNumber0(esk1_2(esk1_2(xl,xm),xm))|~aNaturalNumber0(esk1_2(xl,xm))|~aNaturalNumber0(xm)),inference(spm,[status(thm)],[46,2235,theory(equality)])).
% cnf(2237,negated_conjecture,(sdtasdt0(esk1_2(xl,xm),esk1_2(esk1_2(xl,xm),xm))=xm|~aNaturalNumber0(esk1_2(xl,xm))|~aNaturalNumber0(xm)),inference(spm,[status(thm)],[45,2235,theory(equality)])).
% cnf(2240,negated_conjecture,(aNaturalNumber0(esk1_2(esk1_2(xl,xm),xm))|$false|~aNaturalNumber0(xm)),inference(rw,[status(thm)],[2236,212,theory(equality)])).
% cnf(2241,negated_conjecture,(aNaturalNumber0(esk1_2(esk1_2(xl,xm),xm))|$false|$false),inference(rw,[status(thm)],[2240,38,theory(equality)])).
% cnf(2242,negated_conjecture,(aNaturalNumber0(esk1_2(esk1_2(xl,xm),xm))),inference(cn,[status(thm)],[2241,theory(equality)])).
% cnf(2243,negated_conjecture,(sdtasdt0(esk1_2(xl,xm),esk1_2(esk1_2(xl,xm),xm))=xm|$false|~aNaturalNumber0(xm)),inference(rw,[status(thm)],[2237,212,theory(equality)])).
% cnf(2244,negated_conjecture,(sdtasdt0(esk1_2(xl,xm),esk1_2(esk1_2(xl,xm),xm))=xm|$false|$false),inference(rw,[status(thm)],[2243,38,theory(equality)])).
% cnf(2245,negated_conjecture,(sdtasdt0(esk1_2(xl,xm),esk1_2(esk1_2(xl,xm),xm))=xm),inference(cn,[status(thm)],[2244,theory(equality)])).
% cnf(9784,plain,(sdtasdt0(X1,sdtasdt0(X2,X3))=sdtasdt0(X2,sdtasdt0(X3,X1))|~aNaturalNumber0(X1)|~aNaturalNumber0(X3)|~aNaturalNumber0(X2)),inference(csr,[status(thm)],[453,50])).
% cnf(9806,plain,(doDivides0(X1,sdtasdt0(X3,sdtasdt0(X1,X2)))|~aNaturalNumber0(sdtasdt0(X2,X3))|~aNaturalNumber0(X1)|~aNaturalNumber0(X3)|~aNaturalNumber0(X2)),inference(spm,[status(thm)],[1591,9784,theory(equality)])).
% cnf(11371,negated_conjecture,(sdtasdt0(sz10,xn)=xn|~aNaturalNumber0(esk1_2(esk1_2(xm,xn),xn))|~aNaturalNumber0(esk1_2(xm,xn))),inference(spm,[status(thm)],[474,1943,theory(equality)])).
% cnf(11372,negated_conjecture,(sdtasdt0(sz10,xm)=xm|~aNaturalNumber0(esk1_2(esk1_2(xl,xm),xm))|~aNaturalNumber0(esk1_2(xl,xm))),inference(spm,[status(thm)],[474,2245,theory(equality)])).
% cnf(11378,negated_conjecture,(sdtasdt0(sz10,sz00)=sz00|~aNaturalNumber0(esk1_2(sz00,sz00))|~aNaturalNumber0(sz00)),inference(spm,[status(thm)],[474,1655,theory(equality)])).
% cnf(11494,negated_conjecture,(sdtasdt0(sz10,xn)=xn|$false|~aNaturalNumber0(esk1_2(xm,xn))),inference(rw,[status(thm)],[11371,1940,theory(equality)])).
% cnf(11495,negated_conjecture,(sdtasdt0(sz10,xn)=xn|$false|$false),inference(rw,[status(thm)],[11494,209,theory(equality)])).
% cnf(11496,negated_conjecture,(sdtasdt0(sz10,xn)=xn),inference(cn,[status(thm)],[11495,theory(equality)])).
% cnf(11497,negated_conjecture,(sdtasdt0(sz10,xm)=xm|$false|~aNaturalNumber0(esk1_2(xl,xm))),inference(rw,[status(thm)],[11372,2242,theory(equality)])).
% cnf(11498,negated_conjecture,(sdtasdt0(sz10,xm)=xm|$false|$false),inference(rw,[status(thm)],[11497,212,theory(equality)])).
% cnf(11499,negated_conjecture,(sdtasdt0(sz10,xm)=xm),inference(cn,[status(thm)],[11498,theory(equality)])).
% cnf(11512,negated_conjecture,(sdtasdt0(sz10,sz00)=sz00|$false|~aNaturalNumber0(sz00)),inference(rw,[status(thm)],[11378,1653,theory(equality)])).
% cnf(11513,negated_conjecture,(sdtasdt0(sz10,sz00)=sz00|$false|$false),inference(rw,[status(thm)],[11512,57,theory(equality)])).
% cnf(11514,negated_conjecture,(sdtasdt0(sz10,sz00)=sz00),inference(cn,[status(thm)],[11513,theory(equality)])).
% cnf(11547,negated_conjecture,(sz00=sz10|sdtlseqdt0(xn,xn)|~aNaturalNumber0(sz10)|~aNaturalNumber0(xn)),inference(spm,[status(thm)],[301,11496,theory(equality)])).
% cnf(11609,negated_conjecture,(sz00=sz10|sdtlseqdt0(xn,xn)|$false|~aNaturalNumber0(xn)),inference(rw,[status(thm)],[11547,156,theory(equality)])).
% cnf(11610,negated_conjecture,(sz00=sz10|sdtlseqdt0(xn,xn)|$false|$false),inference(rw,[status(thm)],[11609,37,theory(equality)])).
% cnf(11611,negated_conjecture,(sz00=sz10|sdtlseqdt0(xn,xn)),inference(cn,[status(thm)],[11610,theory(equality)])).
% cnf(11612,negated_conjecture,(sdtlseqdt0(xn,xn)),inference(sr,[status(thm)],[11611,155,theory(equality)])).
% cnf(11703,negated_conjecture,(aNaturalNumber0(sdtmndt0(xn,xn))|~aNaturalNumber0(xn)),inference(spm,[status(thm)],[295,11612,theory(equality)])).
% cnf(11706,negated_conjecture,(sdtpldt0(xn,sdtmndt0(xn,xn))=xn|~aNaturalNumber0(xn)),inference(spm,[status(thm)],[384,11612,theory(equality)])).
% cnf(11710,negated_conjecture,(aNaturalNumber0(sdtmndt0(xn,xn))|$false),inference(rw,[status(thm)],[11703,37,theory(equality)])).
% cnf(11711,negated_conjecture,(aNaturalNumber0(sdtmndt0(xn,xn))),inference(cn,[status(thm)],[11710,theory(equality)])).
% cnf(11716,negated_conjecture,(sdtpldt0(xn,sdtmndt0(xn,xn))=xn|$false),inference(rw,[status(thm)],[11706,37,theory(equality)])).
% cnf(11717,negated_conjecture,(sdtpldt0(xn,sdtmndt0(xn,xn))=xn),inference(cn,[status(thm)],[11716,theory(equality)])).
% cnf(11844,negated_conjecture,(sdtmndt0(xn,xn)=sz00|~aNaturalNumber0(xn)|~aNaturalNumber0(sdtmndt0(xn,xn))),inference(spm,[status(thm)],[339,11717,theory(equality)])).
% cnf(11867,negated_conjecture,(sdtmndt0(xn,xn)=sz00|$false|~aNaturalNumber0(sdtmndt0(xn,xn))),inference(rw,[status(thm)],[11844,37,theory(equality)])).
% cnf(11868,negated_conjecture,(sdtmndt0(xn,xn)=sz00|$false|$false),inference(rw,[status(thm)],[11867,11711,theory(equality)])).
% cnf(11869,negated_conjecture,(sdtmndt0(xn,xn)=sz00),inference(cn,[status(thm)],[11868,theory(equality)])).
% cnf(11920,negated_conjecture,(aNaturalNumber0(X1)|sz00!=X1|~sdtlseqdt0(xn,xn)|~aNaturalNumber0(xn)),inference(spm,[status(thm)],[168,11869,theory(equality)])).
% cnf(11927,negated_conjecture,(aNaturalNumber0(X1)|sz00!=X1|$false|~aNaturalNumber0(xn)),inference(rw,[status(thm)],[11920,11612,theory(equality)])).
% cnf(11928,negated_conjecture,(aNaturalNumber0(X1)|sz00!=X1|$false|$false),inference(rw,[status(thm)],[11927,37,theory(equality)])).
% cnf(11929,negated_conjecture,(aNaturalNumber0(X1)|sz00!=X1),inference(cn,[status(thm)],[11928,theory(equality)])).
% cnf(12127,negated_conjecture,(sz00=xm|sdtlseqdt0(sz10,xm)|~aNaturalNumber0(xm)|~aNaturalNumber0(sz10)),inference(spm,[status(thm)],[126,11499,theory(equality)])).
% cnf(12138,negated_conjecture,(sz00=sz10|sdtlseqdt0(xm,xm)|~aNaturalNumber0(sz10)|~aNaturalNumber0(xm)),inference(spm,[status(thm)],[301,11499,theory(equality)])).
% cnf(12150,negated_conjecture,(doDivides0(xm,X1)|xm!=X1|~aNaturalNumber0(sz10)|~aNaturalNumber0(xm)|~aNaturalNumber0(X1)),inference(spm,[status(thm)],[275,11499,theory(equality)])).
% cnf(12166,negated_conjecture,(sz00=xm|sdtlseqdt0(sz10,xm)|$false|~aNaturalNumber0(sz10)),inference(rw,[status(thm)],[12127,38,theory(equality)])).
% cnf(12167,negated_conjecture,(sz00=xm|sdtlseqdt0(sz10,xm)|$false|$false),inference(rw,[status(thm)],[12166,156,theory(equality)])).
% cnf(12168,negated_conjecture,(sz00=xm|sdtlseqdt0(sz10,xm)),inference(cn,[status(thm)],[12167,theory(equality)])).
% cnf(12201,negated_conjecture,(sz00=sz10|sdtlseqdt0(xm,xm)|$false|~aNaturalNumber0(xm)),inference(rw,[status(thm)],[12138,156,theory(equality)])).
% cnf(12202,negated_conjecture,(sz00=sz10|sdtlseqdt0(xm,xm)|$false|$false),inference(rw,[status(thm)],[12201,38,theory(equality)])).
% cnf(12203,negated_conjecture,(sz00=sz10|sdtlseqdt0(xm,xm)),inference(cn,[status(thm)],[12202,theory(equality)])).
% cnf(12204,negated_conjecture,(sdtlseqdt0(xm,xm)),inference(sr,[status(thm)],[12203,155,theory(equality)])).
% cnf(12240,negated_conjecture,(doDivides0(xm,X1)|xm!=X1|$false|~aNaturalNumber0(xm)|~aNaturalNumber0(X1)),inference(rw,[status(thm)],[12150,156,theory(equality)])).
% cnf(12241,negated_conjecture,(doDivides0(xm,X1)|xm!=X1|$false|$false|~aNaturalNumber0(X1)),inference(rw,[status(thm)],[12240,38,theory(equality)])).
% cnf(12242,negated_conjecture,(doDivides0(xm,X1)|xm!=X1|~aNaturalNumber0(X1)),inference(cn,[status(thm)],[12241,theory(equality)])).
% cnf(12298,negated_conjecture,(aNaturalNumber0(esk2_2(xm,xm))|~aNaturalNumber0(xm)),inference(spm,[status(thm)],[143,12204,theory(equality)])).
% cnf(12299,negated_conjecture,(sdtpldt0(xm,esk2_2(xm,xm))=xm|~aNaturalNumber0(xm)),inference(spm,[status(thm)],[142,12204,theory(equality)])).
% cnf(12308,negated_conjecture,(aNaturalNumber0(esk2_2(xm,xm))|$false),inference(rw,[status(thm)],[12298,38,theory(equality)])).
% cnf(12309,negated_conjecture,(aNaturalNumber0(esk2_2(xm,xm))),inference(cn,[status(thm)],[12308,theory(equality)])).
% cnf(12310,negated_conjecture,(sdtpldt0(xm,esk2_2(xm,xm))=xm|$false),inference(rw,[status(thm)],[12299,38,theory(equality)])).
% cnf(12311,negated_conjecture,(sdtpldt0(xm,esk2_2(xm,xm))=xm),inference(cn,[status(thm)],[12310,theory(equality)])).
% cnf(12347,negated_conjecture,(esk2_2(xm,xm)=sz00|~aNaturalNumber0(xm)|~aNaturalNumber0(esk2_2(xm,xm))),inference(spm,[status(thm)],[339,12311,theory(equality)])).
% cnf(12374,negated_conjecture,(esk2_2(xm,xm)=sz00|$false|~aNaturalNumber0(esk2_2(xm,xm))),inference(rw,[status(thm)],[12347,38,theory(equality)])).
% cnf(12375,negated_conjecture,(esk2_2(xm,xm)=sz00|$false|$false),inference(rw,[status(thm)],[12374,12309,theory(equality)])).
% cnf(12376,negated_conjecture,(esk2_2(xm,xm)=sz00),inference(cn,[status(thm)],[12375,theory(equality)])).
% cnf(12437,negated_conjecture,(sdtpldt0(xm,sz00)=xm),inference(rw,[status(thm)],[12311,12376,theory(equality)])).
% cnf(13908,negated_conjecture,(doDivides0(xm,xm)|~aNaturalNumber0(xm)),inference(er,[status(thm)],[12242,theory(equality)])).
% cnf(13909,negated_conjecture,(doDivides0(xm,xm)|$false),inference(rw,[status(thm)],[13908,38,theory(equality)])).
% cnf(13910,negated_conjecture,(doDivides0(xm,xm)),inference(cn,[status(thm)],[13909,theory(equality)])).
% cnf(13911,negated_conjecture,(aNaturalNumber0(esk1_2(xm,xm))|~aNaturalNumber0(xm)),inference(spm,[status(thm)],[46,13910,theory(equality)])).
% cnf(13912,negated_conjecture,(sdtasdt0(xm,esk1_2(xm,xm))=xm|~aNaturalNumber0(xm)),inference(spm,[status(thm)],[45,13910,theory(equality)])).
% cnf(13915,negated_conjecture,(aNaturalNumber0(esk1_2(xm,xm))|$false),inference(rw,[status(thm)],[13911,38,theory(equality)])).
% cnf(13916,negated_conjecture,(aNaturalNumber0(esk1_2(xm,xm))),inference(cn,[status(thm)],[13915,theory(equality)])).
% cnf(13917,negated_conjecture,(sdtasdt0(xm,esk1_2(xm,xm))=xm|$false),inference(rw,[status(thm)],[13912,38,theory(equality)])).
% cnf(13918,negated_conjecture,(sdtasdt0(xm,esk1_2(xm,xm))=xm),inference(cn,[status(thm)],[13917,theory(equality)])).
% cnf(14407,negated_conjecture,(aNaturalNumber0(esk2_2(sz10,xm))|xm=sz00|~aNaturalNumber0(sz10)|~aNaturalNumber0(xm)),inference(spm,[status(thm)],[143,12168,theory(equality)])).
% cnf(14408,negated_conjecture,(sdtpldt0(sz10,esk2_2(sz10,xm))=xm|xm=sz00|~aNaturalNumber0(sz10)|~aNaturalNumber0(xm)),inference(spm,[status(thm)],[142,12168,theory(equality)])).
% cnf(14432,negated_conjecture,(aNaturalNumber0(esk2_2(sz10,xm))|xm=sz00|$false|~aNaturalNumber0(xm)),inference(rw,[status(thm)],[14407,156,theory(equality)])).
% cnf(14433,negated_conjecture,(aNaturalNumber0(esk2_2(sz10,xm))|xm=sz00|$false|$false),inference(rw,[status(thm)],[14432,38,theory(equality)])).
% cnf(14434,negated_conjecture,(aNaturalNumber0(esk2_2(sz10,xm))|xm=sz00),inference(cn,[status(thm)],[14433,theory(equality)])).
% cnf(14435,negated_conjecture,(sdtpldt0(sz10,esk2_2(sz10,xm))=xm|xm=sz00|$false|~aNaturalNumber0(xm)),inference(rw,[status(thm)],[14408,156,theory(equality)])).
% cnf(14436,negated_conjecture,(sdtpldt0(sz10,esk2_2(sz10,xm))=xm|xm=sz00|$false|$false),inference(rw,[status(thm)],[14435,38,theory(equality)])).
% cnf(14437,negated_conjecture,(sdtpldt0(sz10,esk2_2(sz10,xm))=xm|xm=sz00),inference(cn,[status(thm)],[14436,theory(equality)])).
% cnf(18803,negated_conjecture,(sdtasdt0(sz00,sz10)=sz00|~aNaturalNumber0(sz10)|~aNaturalNumber0(sz00)),inference(spm,[status(thm)],[53,11514,theory(equality)])).
% cnf(18812,negated_conjecture,(sz00=sz10|sdtlseqdt0(sz00,sz00)|~aNaturalNumber0(sz10)|~aNaturalNumber0(sz00)),inference(spm,[status(thm)],[301,11514,theory(equality)])).
% cnf(18830,negated_conjecture,(sdtasdt0(sz00,sz10)=sz00|$false|~aNaturalNumber0(sz00)),inference(rw,[status(thm)],[18803,156,theory(equality)])).
% cnf(18831,negated_conjecture,(sdtasdt0(sz00,sz10)=sz00|$false|$false),inference(rw,[status(thm)],[18830,57,theory(equality)])).
% cnf(18832,negated_conjecture,(sdtasdt0(sz00,sz10)=sz00),inference(cn,[status(thm)],[18831,theory(equality)])).
% cnf(18859,negated_conjecture,(sz00=sz10|sdtlseqdt0(sz00,sz00)|$false|~aNaturalNumber0(sz00)),inference(rw,[status(thm)],[18812,156,theory(equality)])).
% cnf(18860,negated_conjecture,(sz00=sz10|sdtlseqdt0(sz00,sz00)|$false|$false),inference(rw,[status(thm)],[18859,57,theory(equality)])).
% cnf(18861,negated_conjecture,(sz00=sz10|sdtlseqdt0(sz00,sz00)),inference(cn,[status(thm)],[18860,theory(equality)])).
% cnf(18862,negated_conjecture,(sdtlseqdt0(sz00,sz00)),inference(sr,[status(thm)],[18861,155,theory(equality)])).
% cnf(18941,negated_conjecture,(aNaturalNumber0(esk2_2(sz00,sz00))|~aNaturalNumber0(sz00)),inference(spm,[status(thm)],[143,18862,theory(equality)])).
% cnf(18942,negated_conjecture,(sdtpldt0(sz00,esk2_2(sz00,sz00))=sz00|~aNaturalNumber0(sz00)),inference(spm,[status(thm)],[142,18862,theory(equality)])).
% cnf(18957,negated_conjecture,(aNaturalNumber0(esk2_2(sz00,sz00))|$false),inference(rw,[status(thm)],[18941,57,theory(equality)])).
% cnf(18958,negated_conjecture,(aNaturalNumber0(esk2_2(sz00,sz00))),inference(cn,[status(thm)],[18957,theory(equality)])).
% cnf(18959,negated_conjecture,(sdtpldt0(sz00,esk2_2(sz00,sz00))=sz00|$false),inference(rw,[status(thm)],[18942,57,theory(equality)])).
% cnf(18960,negated_conjecture,(sdtpldt0(sz00,esk2_2(sz00,sz00))=sz00),inference(cn,[status(thm)],[18959,theory(equality)])).
% cnf(21945,negated_conjecture,(sz00=esk2_2(sz00,sz00)|~aNaturalNumber0(sz00)|~aNaturalNumber0(esk2_2(sz00,sz00))),inference(spm,[status(thm)],[135,18960,theory(equality)])).
% cnf(21982,negated_conjecture,(sz00=esk2_2(sz00,sz00)|$false|~aNaturalNumber0(esk2_2(sz00,sz00))),inference(rw,[status(thm)],[21945,57,theory(equality)])).
% cnf(21983,negated_conjecture,(sz00=esk2_2(sz00,sz00)|$false|$false),inference(rw,[status(thm)],[21982,18958,theory(equality)])).
% cnf(21984,negated_conjecture,(sz00=esk2_2(sz00,sz00)),inference(cn,[status(thm)],[21983,theory(equality)])).
% cnf(22098,negated_conjecture,(sdtpldt0(sz00,sz00)=sz00),inference(rw,[status(thm)],[18960,21984,theory(equality)])).
% cnf(23112,plain,(sdtasdt0(X1,X2)=sz00|sdtasdt0(X1,sdtpldt0(X3,X2))!=sz00|~aNaturalNumber0(sdtasdt0(X1,X3))|~aNaturalNumber0(X1)|~aNaturalNumber0(X3)|~aNaturalNumber0(X2)),inference(csr,[status(thm)],[541,50])).
% cnf(23113,plain,(sdtasdt0(X1,X2)=sz00|sdtasdt0(X1,sdtpldt0(X3,X2))!=sz00|~aNaturalNumber0(X1)|~aNaturalNumber0(X3)|~aNaturalNumber0(X2)),inference(csr,[status(thm)],[23112,50])).
% cnf(26372,negated_conjecture,(sdtpldt0(sdtasdt0(sz00,sz10),sz00)=sdtasdt0(sz00,xm)|xm=sz00|~aNaturalNumber0(sz10)|~aNaturalNumber0(esk2_2(sz10,xm))),inference(spm,[status(thm)],[570,14437,theory(equality)])).
% cnf(26648,negated_conjecture,(sz00=sdtasdt0(sz00,xm)|xm=sz00|~aNaturalNumber0(sz10)|~aNaturalNumber0(esk2_2(sz10,xm))),inference(rw,[status(thm)],[inference(rw,[status(thm)],[26372,18832,theory(equality)]),22098,theory(equality)])).
% cnf(26649,negated_conjecture,(sz00=sdtasdt0(sz00,xm)|xm=sz00|$false|~aNaturalNumber0(esk2_2(sz10,xm))),inference(rw,[status(thm)],[26648,156,theory(equality)])).
% cnf(26650,negated_conjecture,(sz00=sdtasdt0(sz00,xm)|xm=sz00|~aNaturalNumber0(esk2_2(sz10,xm))),inference(cn,[status(thm)],[26649,theory(equality)])).
% cnf(27838,negated_conjecture,(sdtpldt0(xm,sz00)=sdtasdt0(xm,sdtpldt0(esk1_2(xm,xm),sz00))|~aNaturalNumber0(xm)|~aNaturalNumber0(esk1_2(xm,xm))),inference(spm,[status(thm)],[574,13918,theory(equality)])).
% cnf(28056,negated_conjecture,(xm=sdtasdt0(xm,sdtpldt0(esk1_2(xm,xm),sz00))|~aNaturalNumber0(xm)|~aNaturalNumber0(esk1_2(xm,xm))),inference(rw,[status(thm)],[27838,12437,theory(equality)])).
% cnf(28057,negated_conjecture,(xm=sdtasdt0(xm,sdtpldt0(esk1_2(xm,xm),sz00))|$false|~aNaturalNumber0(esk1_2(xm,xm))),inference(rw,[status(thm)],[28056,38,theory(equality)])).
% cnf(28058,negated_conjecture,(xm=sdtasdt0(xm,sdtpldt0(esk1_2(xm,xm),sz00))|$false|$false),inference(rw,[status(thm)],[28057,13916,theory(equality)])).
% cnf(28059,negated_conjecture,(xm=sdtasdt0(xm,sdtpldt0(esk1_2(xm,xm),sz00))),inference(cn,[status(thm)],[28058,theory(equality)])).
% cnf(29287,negated_conjecture,(sdtasdt0(xm,sz00)=sz00|xm!=sz00|~aNaturalNumber0(xm)|~aNaturalNumber0(esk1_2(xm,xm))|~aNaturalNumber0(sz00)),inference(spm,[status(thm)],[23113,28059,theory(equality)])).
% cnf(29422,negated_conjecture,(sdtasdt0(xm,sz00)=sz00|xm!=sz00|$false|~aNaturalNumber0(esk1_2(xm,xm))|~aNaturalNumber0(sz00)),inference(rw,[status(thm)],[29287,38,theory(equality)])).
% cnf(29423,negated_conjecture,(sdtasdt0(xm,sz00)=sz00|xm!=sz00|$false|$false|~aNaturalNumber0(sz00)),inference(rw,[status(thm)],[29422,13916,theory(equality)])).
% cnf(29424,negated_conjecture,(sdtasdt0(xm,sz00)=sz00|xm!=sz00|$false|$false|$false),inference(rw,[status(thm)],[29423,57,theory(equality)])).
% cnf(29425,negated_conjecture,(sdtasdt0(xm,sz00)=sz00|xm!=sz00),inference(cn,[status(thm)],[29424,theory(equality)])).
% cnf(33246,plain,(sdtasdt0(X1,X2)=sz00|sdtasdt0(sdtpldt0(X3,X1),X2)!=sz00|~aNaturalNumber0(sdtasdt0(X3,X2))|~aNaturalNumber0(X2)|~aNaturalNumber0(X3)|~aNaturalNumber0(X1)),inference(csr,[status(thm)],[583,50])).
% cnf(33247,plain,(sdtasdt0(X1,X2)=sz00|sdtasdt0(sdtpldt0(X3,X1),X2)!=sz00|~aNaturalNumber0(X2)|~aNaturalNumber0(X3)|~aNaturalNumber0(X1)),inference(csr,[status(thm)],[33246,50])).
% cnf(37009,negated_conjecture,(sdtasdt0(sz00,xm)=sz00|xm=sz00),inference(csr,[status(thm)],[26650,14434])).
% cnf(37797,negated_conjecture,(sdtpldt0(xm,sz00)=sdtasdt0(sdtpldt0(sz10,sz00),xm)|~aNaturalNumber0(xm)|~aNaturalNumber0(sz10)),inference(spm,[status(thm)],[613,11499,theory(equality)])).
% cnf(38044,negated_conjecture,(xm=sdtasdt0(sdtpldt0(sz10,sz00),xm)|~aNaturalNumber0(xm)|~aNaturalNumber0(sz10)),inference(rw,[status(thm)],[37797,12437,theory(equality)])).
% cnf(38045,negated_conjecture,(xm=sdtasdt0(sdtpldt0(sz10,sz00),xm)|$false|~aNaturalNumber0(sz10)),inference(rw,[status(thm)],[38044,38,theory(equality)])).
% cnf(38046,negated_conjecture,(xm=sdtasdt0(sdtpldt0(sz10,sz00),xm)|$false|$false),inference(rw,[status(thm)],[38045,156,theory(equality)])).
% cnf(38047,negated_conjecture,(xm=sdtasdt0(sdtpldt0(sz10,sz00),xm)),inference(cn,[status(thm)],[38046,theory(equality)])).
% cnf(41851,negated_conjecture,(sdtasdt0(sz00,xm)=sz00|xm!=sz00|~aNaturalNumber0(xm)|~aNaturalNumber0(sz10)|~aNaturalNumber0(sz00)),inference(spm,[status(thm)],[33247,38047,theory(equality)])).
% cnf(42026,negated_conjecture,(sdtasdt0(sz00,xm)=sz00|xm!=sz00|$false|~aNaturalNumber0(sz10)|~aNaturalNumber0(sz00)),inference(rw,[status(thm)],[41851,38,theory(equality)])).
% cnf(42027,negated_conjecture,(sdtasdt0(sz00,xm)=sz00|xm!=sz00|$false|$false|~aNaturalNumber0(sz00)),inference(rw,[status(thm)],[42026,156,theory(equality)])).
% cnf(42028,negated_conjecture,(sdtasdt0(sz00,xm)=sz00|xm!=sz00|$false|$false|$false),inference(rw,[status(thm)],[42027,57,theory(equality)])).
% cnf(42029,negated_conjecture,(sdtasdt0(sz00,xm)=sz00|xm!=sz00),inference(cn,[status(thm)],[42028,theory(equality)])).
% cnf(42439,negated_conjecture,(sdtasdt0(sz00,xm)=sz00),inference(csr,[status(thm)],[42029,37009])).
% cnf(42479,negated_conjecture,(doDivides0(xm,X1)|sz00!=X1|~aNaturalNumber0(sz00)|~aNaturalNumber0(xm)|~aNaturalNumber0(X1)),inference(spm,[status(thm)],[275,42439,theory(equality)])).
% cnf(42648,negated_conjecture,(doDivides0(xm,X1)|sz00!=X1|$false|~aNaturalNumber0(xm)|~aNaturalNumber0(X1)),inference(rw,[status(thm)],[42479,57,theory(equality)])).
% cnf(42649,negated_conjecture,(doDivides0(xm,X1)|sz00!=X1|$false|$false|~aNaturalNumber0(X1)),inference(rw,[status(thm)],[42648,38,theory(equality)])).
% cnf(42650,negated_conjecture,(doDivides0(xm,X1)|sz00!=X1|~aNaturalNumber0(X1)),inference(cn,[status(thm)],[42649,theory(equality)])).
% cnf(42726,negated_conjecture,(doDivides0(xm,X1)|sz00!=X1),inference(csr,[status(thm)],[42650,11929])).
% cnf(42727,negated_conjecture,(doDivides0(xm,sz00)),inference(er,[status(thm)],[42726,theory(equality)])).
% cnf(42728,negated_conjecture,(aNaturalNumber0(esk1_2(xm,sz00))|~aNaturalNumber0(xm)|~aNaturalNumber0(sz00)),inference(spm,[status(thm)],[46,42727,theory(equality)])).
% cnf(42729,negated_conjecture,(sdtasdt0(xm,esk1_2(xm,sz00))=sz00|~aNaturalNumber0(xm)|~aNaturalNumber0(sz00)),inference(spm,[status(thm)],[45,42727,theory(equality)])).
% cnf(42732,negated_conjecture,(aNaturalNumber0(esk1_2(xm,sz00))|$false|~aNaturalNumber0(sz00)),inference(rw,[status(thm)],[42728,38,theory(equality)])).
% cnf(42733,negated_conjecture,(aNaturalNumber0(esk1_2(xm,sz00))|$false|$false),inference(rw,[status(thm)],[42732,57,theory(equality)])).
% cnf(42734,negated_conjecture,(aNaturalNumber0(esk1_2(xm,sz00))),inference(cn,[status(thm)],[42733,theory(equality)])).
% cnf(42735,negated_conjecture,(sdtasdt0(xm,esk1_2(xm,sz00))=sz00|$false|~aNaturalNumber0(sz00)),inference(rw,[status(thm)],[42729,38,theory(equality)])).
% cnf(42736,negated_conjecture,(sdtasdt0(xm,esk1_2(xm,sz00))=sz00|$false|$false),inference(rw,[status(thm)],[42735,57,theory(equality)])).
% cnf(42737,negated_conjecture,(sdtasdt0(xm,esk1_2(xm,sz00))=sz00),inference(cn,[status(thm)],[42736,theory(equality)])).
% cnf(42744,negated_conjecture,(sz00=esk1_2(xm,sz00)|sz00=xm|~aNaturalNumber0(xm)|~aNaturalNumber0(esk1_2(xm,sz00))),inference(spm,[status(thm)],[90,42737,theory(equality)])).
% cnf(42822,negated_conjecture,(sz00=esk1_2(xm,sz00)|sz00=xm|$false|~aNaturalNumber0(esk1_2(xm,sz00))),inference(rw,[status(thm)],[42744,38,theory(equality)])).
% cnf(42823,negated_conjecture,(sz00=esk1_2(xm,sz00)|sz00=xm|$false|$false),inference(rw,[status(thm)],[42822,42734,theory(equality)])).
% cnf(42824,negated_conjecture,(sz00=esk1_2(xm,sz00)|sz00=xm),inference(cn,[status(thm)],[42823,theory(equality)])).
% cnf(43545,negated_conjecture,(sdtasdt0(xm,sz00)=sz00|xm=sz00),inference(spm,[status(thm)],[42737,42824,theory(equality)])).
% cnf(44087,negated_conjecture,(sdtasdt0(xm,sz00)=sz00),inference(csr,[status(thm)],[43545,29425])).
% cnf(48211,negated_conjecture,(sdtasdt0(xm,xn)=sdtasdt0(xn,esk1_2(esk1_2(xm,xn),xn))|~aNaturalNumber0(esk1_2(esk1_2(xm,xn),xn))),inference(spm,[status(thm)],[664,1943,theory(equality)])).
% cnf(48213,negated_conjecture,(sdtasdt0(xm,xn)=sdtasdt0(xn,xm)|esk1_2(xm,xn)=sz00|~aNaturalNumber0(xm)),inference(spm,[status(thm)],[664,2036,theory(equality)])).
% cnf(48481,negated_conjecture,(sdtasdt0(xm,xn)=sdtasdt0(xn,esk1_2(esk1_2(xm,xn),xn))|$false),inference(rw,[status(thm)],[48211,1940,theory(equality)])).
% cnf(48482,negated_conjecture,(sdtasdt0(xm,xn)=sdtasdt0(xn,esk1_2(esk1_2(xm,xn),xn))),inference(cn,[status(thm)],[48481,theory(equality)])).
% cnf(48483,negated_conjecture,(sdtasdt0(xm,xn)=sdtasdt0(xn,xm)|esk1_2(xm,xn)=sz00|$false),inference(rw,[status(thm)],[48213,38,theory(equality)])).
% cnf(48484,negated_conjecture,(sdtasdt0(xm,xn)=sdtasdt0(xn,xm)|esk1_2(xm,xn)=sz00),inference(cn,[status(thm)],[48483,theory(equality)])).
% cnf(48486,negated_conjecture,(sdtasdt0(xm,sz00)=xn|sdtasdt0(xn,xm)=sdtasdt0(xm,xn)),inference(spm,[status(thm)],[365,48484,theory(equality)])).
% cnf(48503,negated_conjecture,(sz00=xn|sdtasdt0(xn,xm)=sdtasdt0(xm,xn)),inference(rw,[status(thm)],[48486,44087,theory(equality)])).
% cnf(48521,negated_conjecture,(sz00=xn|xm=X1|sdtasdt0(xm,xn)!=sdtasdt0(xn,X1)|~aNaturalNumber0(X1)|~aNaturalNumber0(xm)|~aNaturalNumber0(xn)),inference(spm,[status(thm)],[87,48503,theory(equality)])).
% cnf(48629,negated_conjecture,(sz00=xn|xm=X1|sdtasdt0(xm,xn)!=sdtasdt0(xn,X1)|~aNaturalNumber0(X1)|$false|~aNaturalNumber0(xn)),inference(rw,[status(thm)],[48521,38,theory(equality)])).
% cnf(48630,negated_conjecture,(sz00=xn|xm=X1|sdtasdt0(xm,xn)!=sdtasdt0(xn,X1)|~aNaturalNumber0(X1)|$false|$false),inference(rw,[status(thm)],[48629,37,theory(equality)])).
% cnf(48631,negated_conjecture,(sz00=xn|xm=X1|sdtasdt0(xm,xn)!=sdtasdt0(xn,X1)|~aNaturalNumber0(X1)),inference(cn,[status(thm)],[48630,theory(equality)])).
% cnf(50416,negated_conjecture,(sdtasdt0(xl,sz00)=sdtasdt0(xm,sz00)|~aNaturalNumber0(sz00)|~aNaturalNumber0(esk1_2(xl,xm))),inference(spm,[status(thm)],[721,76,theory(equality)])).
% cnf(50669,negated_conjecture,(sdtasdt0(xl,sz00)=sz00|~aNaturalNumber0(sz00)|~aNaturalNumber0(esk1_2(xl,xm))),inference(rw,[status(thm)],[50416,44087,theory(equality)])).
% cnf(50670,negated_conjecture,(sdtasdt0(xl,sz00)=sz00|$false|~aNaturalNumber0(esk1_2(xl,xm))),inference(rw,[status(thm)],[50669,57,theory(equality)])).
% cnf(50671,negated_conjecture,(sdtasdt0(xl,sz00)=sz00|$false|$false),inference(rw,[status(thm)],[50670,212,theory(equality)])).
% cnf(50672,negated_conjecture,(sdtasdt0(xl,sz00)=sz00),inference(cn,[status(thm)],[50671,theory(equality)])).
% cnf(51079,negated_conjecture,(doDivides0(xl,sz00)|~aNaturalNumber0(sz00)|~aNaturalNumber0(xl)),inference(spm,[status(thm)],[1591,50672,theory(equality)])).
% cnf(51202,negated_conjecture,(doDivides0(xl,sz00)|$false|~aNaturalNumber0(xl)),inference(rw,[status(thm)],[51079,57,theory(equality)])).
% cnf(51203,negated_conjecture,(doDivides0(xl,sz00)|$false|$false),inference(rw,[status(thm)],[51202,39,theory(equality)])).
% cnf(51204,negated_conjecture,(doDivides0(xl,sz00)),inference(cn,[status(thm)],[51203,theory(equality)])).
% cnf(59859,negated_conjecture,(xn=sz00|xm=esk1_2(esk1_2(xm,xn),xn)|~aNaturalNumber0(esk1_2(esk1_2(xm,xn),xn))),inference(spm,[status(thm)],[48631,48482,theory(equality)])).
% cnf(60134,negated_conjecture,(xn=sz00|xm=esk1_2(esk1_2(xm,xn),xn)|$false),inference(rw,[status(thm)],[59859,1940,theory(equality)])).
% cnf(60135,negated_conjecture,(xn=sz00|xm=esk1_2(esk1_2(xm,xn),xn)),inference(cn,[status(thm)],[60134,theory(equality)])).
% cnf(60150,negated_conjecture,(sdtasdt0(esk1_2(xm,xn),xm)=xn|xn=sz00),inference(spm,[status(thm)],[1943,60135,theory(equality)])).
% cnf(365912,plain,(doDivides0(X1,sdtasdt0(X3,sdtasdt0(X1,X2)))|~aNaturalNumber0(X1)|~aNaturalNumber0(X3)|~aNaturalNumber0(X2)),inference(csr,[status(thm)],[9806,50])).
% cnf(366136,negated_conjecture,(doDivides0(xl,sdtasdt0(X1,xm))|~aNaturalNumber0(xl)|~aNaturalNumber0(X1)|~aNaturalNumber0(esk1_2(xl,xm))),inference(spm,[status(thm)],[365912,368,theory(equality)])).
% cnf(366721,negated_conjecture,(doDivides0(xl,sdtasdt0(X1,xm))|$false|~aNaturalNumber0(X1)|~aNaturalNumber0(esk1_2(xl,xm))),inference(rw,[status(thm)],[366136,39,theory(equality)])).
% cnf(366722,negated_conjecture,(doDivides0(xl,sdtasdt0(X1,xm))|$false|~aNaturalNumber0(X1)|$false),inference(rw,[status(thm)],[366721,212,theory(equality)])).
% cnf(366723,negated_conjecture,(doDivides0(xl,sdtasdt0(X1,xm))|~aNaturalNumber0(X1)),inference(cn,[status(thm)],[366722,theory(equality)])).
% cnf(366921,negated_conjecture,(doDivides0(xl,xn)|xn=sz00|~aNaturalNumber0(esk1_2(xm,xn))),inference(spm,[status(thm)],[366723,60150,theory(equality)])).
% cnf(366963,negated_conjecture,(doDivides0(xl,xn)|xn=sz00|$false),inference(rw,[status(thm)],[366921,209,theory(equality)])).
% cnf(366964,negated_conjecture,(doDivides0(xl,xn)|xn=sz00),inference(cn,[status(thm)],[366963,theory(equality)])).
% cnf(366965,negated_conjecture,(xn=sz00),inference(sr,[status(thm)],[366964,175,theory(equality)])).
% cnf(370563,negated_conjecture,($false),inference(rw,[status(thm)],[inference(rw,[status(thm)],[175,366965,theory(equality)]),51204,theory(equality)])).
% cnf(370564,negated_conjecture,($false),inference(cn,[status(thm)],[370563,theory(equality)])).
% cnf(370565,negated_conjecture,($false),370564,['proof']).
% # SZS output end CNFRefutation
% # Processed clauses                  : 11766
% # ...of these trivial                : 361
% # ...subsumed                        : 7465
% # ...remaining for further processing: 3940
% # Other redundant clauses eliminated : 154
% # Clauses deleted for lack of memory : 0
% # Backward-subsumed                  : 328
% # Backward-rewritten                 : 1722
% # Generated clauses                  : 126144
% # ...of the previous two non-trivial : 115536
% # Contextual simplify-reflections    : 5652
% # Paramodulations                    : 125700
% # Factorizations                     : 10
% # Equation resolutions               : 434
% # Current number of processed clauses: 1889
% #    Positive orientable unit clauses: 234
% #    Positive unorientable unit clauses: 0
% #    Negative unit clauses           : 2
% #    Non-unit-clauses                : 1653
% # Current number of unprocessed clauses: 59732
% # ...number of literals in the above : 312083
% # Clause-clause subsumption calls (NU) : 136813
% # Rec. Clause-clause subsumption calls : 69319
% # Unit Clause-clause subsumption calls : 2068
% # Rewrite failures with RHS unbound  : 0
% # Indexed BW rewrite attempts        : 434
% # Indexed BW rewrite successes       : 130
% # Backwards rewriting index:  1090 leaves,   1.28+/-1.091 terms/leaf
% # Paramod-from index:          695 leaves,   1.20+/-0.726 terms/leaf
% # Paramod-into index:         1006 leaves,   1.26+/-1.056 terms/leaf
% # -------------------------------------------------
% # User time              : 6.903 s
% # System time            : 0.251 s
% # Total time             : 7.154 s
% # Maximum resident set size: 0 pages
% PrfWatch: 12.87 CPU 13.76 WC
% FINAL PrfWatch: 12.87 CPU 13.76 WC
% SZS output end Solution for /tmp/SystemOnTPTP24481/NUM466+1.tptp
% 
%------------------------------------------------------------------------------