TSTP Solution File: NUM528+1 by SRASS---0.1
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- Process Solution
%------------------------------------------------------------------------------
% File : SRASS---0.1
% Problem : NUM528+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 : art01.cs.miami.edu
% Model : i686 i686
% CPU : Intel(R) Pentium(R) 4 CPU 2.80GHz @ 2793MHz
% Memory : 2018MB
% OS : Linux 2.6.26.8-57.fc8
% CPULimit : 300s
% DateTime : Wed Dec 29 19:55:16 EST 2010
% Result : Theorem 1.50s
% Output : Solution 1.50s
% 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/SystemOnTPTP17181/NUM528+1.tptp
% Adding relevance values
% Extracting the conjecture
% Sorting axioms by relevance
% Looking for THM ...
% found
% SZS status THM for /tmp/SystemOnTPTP17181/NUM528+1.tptp
% SZS output start Solution for /tmp/SystemOnTPTP17181/NUM528+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 17277
% TreeLimitedRun: ----------------------------------------------------------
% PrfWatch: 0.00 CPU 0.02 WC
% # Preprocessing time : 0.021 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,![X1]:![X2]:((aNaturalNumber0(X1)&aNaturalNumber0(X2))=>aNaturalNumber0(sdtasdt0(X1,X2))),file('/tmp/SRASS.s.p', mSortsB_02)).
% fof(3, axiom,![X1]:![X2]:((aNaturalNumber0(X1)&aNaturalNumber0(X2))=>sdtasdt0(X1,X2)=sdtasdt0(X2,X1)),file('/tmp/SRASS.s.p', mMulComm)).
% fof(6, 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(7, axiom,![X1]:![X2]:((aNaturalNumber0(X1)&aNaturalNumber0(X2))=>(sdtasdt0(X1,X2)=sz00=>(X1=sz00|X2=sz00))),file('/tmp/SRASS.s.p', mZeroMul)).
% fof(9, axiom,![X1]:![X2]:((aNaturalNumber0(X1)&aNaturalNumber0(X2))=>((sdtlseqdt0(X1,X2)&sdtlseqdt0(X2,X1))=>X1=X2)),file('/tmp/SRASS.s.p', mLEAsym)).
% fof(10, 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(11, axiom,![X1]:![X2]:((aNaturalNumber0(X1)&aNaturalNumber0(X2))=>(sdtlseqdt0(X1,X2)|(~(X2=X1)&sdtlseqdt0(X2,X1)))),file('/tmp/SRASS.s.p', mLETotal)).
% fof(13, axiom,![X1]:![X2]:((aNaturalNumber0(X1)&aNaturalNumber0(X2))=>(~(X1=sz00)=>sdtlseqdt0(X2,sdtasdt0(X2,X1)))),file('/tmp/SRASS.s.p', mMonMul2)).
% fof(15, axiom,![X1]:![X2]:((aNaturalNumber0(X1)&aNaturalNumber0(X2))=>(doDivides0(X1,X2)<=>?[X3]:(aNaturalNumber0(X3)&X2=sdtasdt0(X1,X3)))),file('/tmp/SRASS.s.p', mDefDiv)).
% fof(16, 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(17, axiom,![X1]:![X2]:![X3]:(((aNaturalNumber0(X1)&aNaturalNumber0(X2))&aNaturalNumber0(X3))=>((doDivides0(X1,X2)&doDivides0(X2,X3))=>doDivides0(X1,X3))),file('/tmp/SRASS.s.p', mDivTrans)).
% fof(18, axiom,![X1]:![X2]:((aNaturalNumber0(X1)&aNaturalNumber0(X2))=>((doDivides0(X1,X2)&~(X2=sz00))=>sdtlseqdt0(X1,X2))),file('/tmp/SRASS.s.p', mDivLE)).
% fof(21, axiom,(((((aNaturalNumber0(xn)&aNaturalNumber0(xm))&aNaturalNumber0(xp))&~(xn=sz00))&~(xm=sz00))&~(xp=sz00)),file('/tmp/SRASS.s.p', m__2987)).
% fof(23, axiom,sdtasdt0(xp,sdtasdt0(xm,xm))=sdtasdt0(xn,xn),file('/tmp/SRASS.s.p', m__3014)).
% fof(24, axiom,isPrime0(xp),file('/tmp/SRASS.s.p', m__3025)).
% fof(25, axiom,(doDivides0(xp,sdtasdt0(xn,xn))&doDivides0(xp,xn)),file('/tmp/SRASS.s.p', m__3046)).
% fof(26, axiom,xq=sdtsldt0(xn,xp),file('/tmp/SRASS.s.p', m__3059)).
% fof(27, axiom,sdtasdt0(xm,xm)=sdtasdt0(xp,sdtasdt0(xq,xq)),file('/tmp/SRASS.s.p', m__3082)).
% fof(28, axiom,(sdtlseqdt0(xn,xm)=>sdtlseqdt0(sdtasdt0(xn,xn),sdtasdt0(xm,xm))),file('/tmp/SRASS.s.p', m__3152)).
% fof(29, 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(32, axiom,![X1]:![X2]:((aNaturalNumber0(X1)&aNaturalNumber0(X2))=>(sdtlseqdt0(X1,X2)<=>?[X3]:(aNaturalNumber0(X3)&sdtpldt0(X1,X3)=X2))),file('/tmp/SRASS.s.p', mDefLE)).
% fof(35, axiom,![X1]:(aNaturalNumber0(X1)=>(sdtpldt0(X1,sz00)=X1&X1=sdtpldt0(sz00,X1))),file('/tmp/SRASS.s.p', m_AddZero)).
% fof(39, axiom,(aNaturalNumber0(sz10)&~(sz10=sz00)),file('/tmp/SRASS.s.p', mSortsC_01)).
% fof(40, axiom,![X1]:(aNaturalNumber0(X1)=>(sdtasdt0(X1,sz10)=X1&X1=sdtasdt0(sz10,X1))),file('/tmp/SRASS.s.p', m_MulUnit)).
% fof(43, axiom,![X1]:![X2]:((aNaturalNumber0(X1)&aNaturalNumber0(X2))=>sdtpldt0(X1,X2)=sdtpldt0(X2,X1)),file('/tmp/SRASS.s.p', mAddComm)).
% fof(45, 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(47, 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(48, conjecture,(~(xm=xn)&sdtlseqdt0(xm,xn)),file('/tmp/SRASS.s.p', m__)).
% fof(49, negated_conjecture,~((~(xm=xn)&sdtlseqdt0(xm,xn))),inference(assume_negation,[status(cth)],[48])).
% cnf(53,plain,(aNaturalNumber0(sz00)),inference(split_conjunct,[status(thm)],[1])).
% fof(54, plain,![X1]:![X2]:((~(aNaturalNumber0(X1))|~(aNaturalNumber0(X2)))|aNaturalNumber0(sdtasdt0(X1,X2))),inference(fof_nnf,[status(thm)],[2])).
% fof(55, plain,![X3]:![X4]:((~(aNaturalNumber0(X3))|~(aNaturalNumber0(X4)))|aNaturalNumber0(sdtasdt0(X3,X4))),inference(variable_rename,[status(thm)],[54])).
% cnf(56,plain,(aNaturalNumber0(sdtasdt0(X1,X2))|~aNaturalNumber0(X2)|~aNaturalNumber0(X1)),inference(split_conjunct,[status(thm)],[55])).
% fof(57, plain,![X1]:![X2]:((~(aNaturalNumber0(X1))|~(aNaturalNumber0(X2)))|sdtasdt0(X1,X2)=sdtasdt0(X2,X1)),inference(fof_nnf,[status(thm)],[3])).
% fof(58, plain,![X3]:![X4]:((~(aNaturalNumber0(X3))|~(aNaturalNumber0(X4)))|sdtasdt0(X3,X4)=sdtasdt0(X4,X3)),inference(variable_rename,[status(thm)],[57])).
% cnf(59,plain,(sdtasdt0(X1,X2)=sdtasdt0(X2,X1)|~aNaturalNumber0(X2)|~aNaturalNumber0(X1)),inference(split_conjunct,[status(thm)],[58])).
% fof(68, 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)],[6])).
% fof(69, 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)],[68])).
% fof(70, 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)],[69])).
% fof(71, 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)],[70])).
% cnf(72,plain,(X1=sz00|X3=X2|~aNaturalNumber0(X1)|~aNaturalNumber0(X2)|~aNaturalNumber0(X3)|sdtasdt0(X3,X1)!=sdtasdt0(X2,X1)),inference(split_conjunct,[status(thm)],[71])).
% fof(74, plain,![X1]:![X2]:((~(aNaturalNumber0(X1))|~(aNaturalNumber0(X2)))|(~(sdtasdt0(X1,X2)=sz00)|(X1=sz00|X2=sz00))),inference(fof_nnf,[status(thm)],[7])).
% fof(75, plain,![X3]:![X4]:((~(aNaturalNumber0(X3))|~(aNaturalNumber0(X4)))|(~(sdtasdt0(X3,X4)=sz00)|(X3=sz00|X4=sz00))),inference(variable_rename,[status(thm)],[74])).
% cnf(76,plain,(X1=sz00|X2=sz00|sdtasdt0(X2,X1)!=sz00|~aNaturalNumber0(X1)|~aNaturalNumber0(X2)),inference(split_conjunct,[status(thm)],[75])).
% fof(80, plain,![X1]:![X2]:((~(aNaturalNumber0(X1))|~(aNaturalNumber0(X2)))|((~(sdtlseqdt0(X1,X2))|~(sdtlseqdt0(X2,X1)))|X1=X2)),inference(fof_nnf,[status(thm)],[9])).
% fof(81, plain,![X3]:![X4]:((~(aNaturalNumber0(X3))|~(aNaturalNumber0(X4)))|((~(sdtlseqdt0(X3,X4))|~(sdtlseqdt0(X4,X3)))|X3=X4)),inference(variable_rename,[status(thm)],[80])).
% cnf(82,plain,(X1=X2|~sdtlseqdt0(X2,X1)|~sdtlseqdt0(X1,X2)|~aNaturalNumber0(X2)|~aNaturalNumber0(X1)),inference(split_conjunct,[status(thm)],[81])).
% fof(83, plain,![X1]:![X2]:![X3]:(((~(aNaturalNumber0(X1))|~(aNaturalNumber0(X2)))|~(aNaturalNumber0(X3)))|((~(sdtlseqdt0(X1,X2))|~(sdtlseqdt0(X2,X3)))|sdtlseqdt0(X1,X3))),inference(fof_nnf,[status(thm)],[10])).
% fof(84, plain,![X4]:![X5]:![X6]:(((~(aNaturalNumber0(X4))|~(aNaturalNumber0(X5)))|~(aNaturalNumber0(X6)))|((~(sdtlseqdt0(X4,X5))|~(sdtlseqdt0(X5,X6)))|sdtlseqdt0(X4,X6))),inference(variable_rename,[status(thm)],[83])).
% cnf(85,plain,(sdtlseqdt0(X1,X2)|~sdtlseqdt0(X3,X2)|~sdtlseqdt0(X1,X3)|~aNaturalNumber0(X2)|~aNaturalNumber0(X3)|~aNaturalNumber0(X1)),inference(split_conjunct,[status(thm)],[84])).
% fof(86, plain,![X1]:![X2]:((~(aNaturalNumber0(X1))|~(aNaturalNumber0(X2)))|(sdtlseqdt0(X1,X2)|(~(X2=X1)&sdtlseqdt0(X2,X1)))),inference(fof_nnf,[status(thm)],[11])).
% fof(87, plain,![X3]:![X4]:((~(aNaturalNumber0(X3))|~(aNaturalNumber0(X4)))|(sdtlseqdt0(X3,X4)|(~(X4=X3)&sdtlseqdt0(X4,X3)))),inference(variable_rename,[status(thm)],[86])).
% fof(88, plain,![X3]:![X4]:(((~(X4=X3)|sdtlseqdt0(X3,X4))|(~(aNaturalNumber0(X3))|~(aNaturalNumber0(X4))))&((sdtlseqdt0(X4,X3)|sdtlseqdt0(X3,X4))|(~(aNaturalNumber0(X3))|~(aNaturalNumber0(X4))))),inference(distribute,[status(thm)],[87])).
% cnf(89,plain,(sdtlseqdt0(X2,X1)|sdtlseqdt0(X1,X2)|~aNaturalNumber0(X1)|~aNaturalNumber0(X2)),inference(split_conjunct,[status(thm)],[88])).
% fof(98, plain,![X1]:![X2]:((~(aNaturalNumber0(X1))|~(aNaturalNumber0(X2)))|(X1=sz00|sdtlseqdt0(X2,sdtasdt0(X2,X1)))),inference(fof_nnf,[status(thm)],[13])).
% fof(99, plain,![X3]:![X4]:((~(aNaturalNumber0(X3))|~(aNaturalNumber0(X4)))|(X3=sz00|sdtlseqdt0(X4,sdtasdt0(X4,X3)))),inference(variable_rename,[status(thm)],[98])).
% cnf(100,plain,(sdtlseqdt0(X1,sdtasdt0(X1,X2))|X2=sz00|~aNaturalNumber0(X1)|~aNaturalNumber0(X2)),inference(split_conjunct,[status(thm)],[99])).
% fof(104, 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)],[15])).
% fof(105, 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)],[104])).
% fof(106, 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)],[105])).
% fof(107, 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)],[106])).
% fof(108, 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)],[107])).
% cnf(109,plain,(X1=sdtasdt0(X2,esk1_2(X2,X1))|~aNaturalNumber0(X1)|~aNaturalNumber0(X2)|~doDivides0(X2,X1)),inference(split_conjunct,[status(thm)],[108])).
% cnf(110,plain,(aNaturalNumber0(esk1_2(X2,X1))|~aNaturalNumber0(X1)|~aNaturalNumber0(X2)|~doDivides0(X2,X1)),inference(split_conjunct,[status(thm)],[108])).
% cnf(111,plain,(doDivides0(X2,X1)|~aNaturalNumber0(X1)|~aNaturalNumber0(X2)|X1!=sdtasdt0(X2,X3)|~aNaturalNumber0(X3)),inference(split_conjunct,[status(thm)],[108])).
% fof(112, 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)],[16])).
% fof(113, 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)],[112])).
% fof(114, 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)],[113])).
% fof(115, 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)],[114])).
% cnf(118,plain,(X2=sz00|aNaturalNumber0(X3)|~aNaturalNumber0(X1)|~aNaturalNumber0(X2)|~doDivides0(X2,X1)|X3!=sdtsldt0(X1,X2)),inference(split_conjunct,[status(thm)],[115])).
% fof(119, plain,![X1]:![X2]:![X3]:(((~(aNaturalNumber0(X1))|~(aNaturalNumber0(X2)))|~(aNaturalNumber0(X3)))|((~(doDivides0(X1,X2))|~(doDivides0(X2,X3)))|doDivides0(X1,X3))),inference(fof_nnf,[status(thm)],[17])).
% fof(120, plain,![X4]:![X5]:![X6]:(((~(aNaturalNumber0(X4))|~(aNaturalNumber0(X5)))|~(aNaturalNumber0(X6)))|((~(doDivides0(X4,X5))|~(doDivides0(X5,X6)))|doDivides0(X4,X6))),inference(variable_rename,[status(thm)],[119])).
% cnf(121,plain,(doDivides0(X1,X2)|~doDivides0(X3,X2)|~doDivides0(X1,X3)|~aNaturalNumber0(X2)|~aNaturalNumber0(X3)|~aNaturalNumber0(X1)),inference(split_conjunct,[status(thm)],[120])).
% fof(122, plain,![X1]:![X2]:((~(aNaturalNumber0(X1))|~(aNaturalNumber0(X2)))|((~(doDivides0(X1,X2))|X2=sz00)|sdtlseqdt0(X1,X2))),inference(fof_nnf,[status(thm)],[18])).
% fof(123, plain,![X3]:![X4]:((~(aNaturalNumber0(X3))|~(aNaturalNumber0(X4)))|((~(doDivides0(X3,X4))|X4=sz00)|sdtlseqdt0(X3,X4))),inference(variable_rename,[status(thm)],[122])).
% cnf(124,plain,(sdtlseqdt0(X1,X2)|X2=sz00|~doDivides0(X1,X2)|~aNaturalNumber0(X2)|~aNaturalNumber0(X1)),inference(split_conjunct,[status(thm)],[123])).
% cnf(132,plain,(xp!=sz00),inference(split_conjunct,[status(thm)],[21])).
% cnf(133,plain,(xm!=sz00),inference(split_conjunct,[status(thm)],[21])).
% cnf(134,plain,(xn!=sz00),inference(split_conjunct,[status(thm)],[21])).
% cnf(135,plain,(aNaturalNumber0(xp)),inference(split_conjunct,[status(thm)],[21])).
% cnf(136,plain,(aNaturalNumber0(xm)),inference(split_conjunct,[status(thm)],[21])).
% cnf(137,plain,(aNaturalNumber0(xn)),inference(split_conjunct,[status(thm)],[21])).
% cnf(141,plain,(sdtasdt0(xp,sdtasdt0(xm,xm))=sdtasdt0(xn,xn)),inference(split_conjunct,[status(thm)],[23])).
% cnf(142,plain,(isPrime0(xp)),inference(split_conjunct,[status(thm)],[24])).
% cnf(143,plain,(doDivides0(xp,xn)),inference(split_conjunct,[status(thm)],[25])).
% cnf(145,plain,(xq=sdtsldt0(xn,xp)),inference(split_conjunct,[status(thm)],[26])).
% cnf(146,plain,(sdtasdt0(xm,xm)=sdtasdt0(xp,sdtasdt0(xq,xq))),inference(split_conjunct,[status(thm)],[27])).
% fof(147, plain,(~(sdtlseqdt0(xn,xm))|sdtlseqdt0(sdtasdt0(xn,xn),sdtasdt0(xm,xm))),inference(fof_nnf,[status(thm)],[28])).
% cnf(148,plain,(sdtlseqdt0(sdtasdt0(xn,xn),sdtasdt0(xm,xm))|~sdtlseqdt0(xn,xm)),inference(split_conjunct,[status(thm)],[147])).
% fof(149, 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)],[29])).
% fof(150, 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)],[149])).
% fof(151, 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(esk2_1(X3))&doDivides0(esk2_1(X3),X3))&(~(esk2_1(X3)=sz10)&~(esk2_1(X3)=X3))))|isPrime0(X3)))),inference(skolemize,[status(esa)],[150])).
% fof(152, plain,![X3]:![X4]:((((((~(aNaturalNumber0(X4))|~(doDivides0(X4,X3)))|(X4=sz10|X4=X3))&(~(X3=sz00)&~(X3=sz10)))|~(isPrime0(X3)))&(((X3=sz00|X3=sz10)|((aNaturalNumber0(esk2_1(X3))&doDivides0(esk2_1(X3),X3))&(~(esk2_1(X3)=sz10)&~(esk2_1(X3)=X3))))|isPrime0(X3)))|~(aNaturalNumber0(X3))),inference(shift_quantors,[status(thm)],[151])).
% fof(153, 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(esk2_1(X3))|(X3=sz00|X3=sz10))|isPrime0(X3))|~(aNaturalNumber0(X3)))&(((doDivides0(esk2_1(X3),X3)|(X3=sz00|X3=sz10))|isPrime0(X3))|~(aNaturalNumber0(X3))))&((((~(esk2_1(X3)=sz10)|(X3=sz00|X3=sz10))|isPrime0(X3))|~(aNaturalNumber0(X3)))&(((~(esk2_1(X3)=X3)|(X3=sz00|X3=sz10))|isPrime0(X3))|~(aNaturalNumber0(X3)))))),inference(distribute,[status(thm)],[152])).
% cnf(158,plain,(~aNaturalNumber0(X1)|~isPrime0(X1)|X1!=sz10),inference(split_conjunct,[status(thm)],[153])).
% fof(173, 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)],[32])).
% fof(174, 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)],[173])).
% fof(175, plain,![X4]:![X5]:((~(aNaturalNumber0(X4))|~(aNaturalNumber0(X5)))|((~(sdtlseqdt0(X4,X5))|(aNaturalNumber0(esk4_2(X4,X5))&sdtpldt0(X4,esk4_2(X4,X5))=X5))&(![X7]:(~(aNaturalNumber0(X7))|~(sdtpldt0(X4,X7)=X5))|sdtlseqdt0(X4,X5)))),inference(skolemize,[status(esa)],[174])).
% fof(176, plain,![X4]:![X5]:![X7]:((((~(aNaturalNumber0(X7))|~(sdtpldt0(X4,X7)=X5))|sdtlseqdt0(X4,X5))&(~(sdtlseqdt0(X4,X5))|(aNaturalNumber0(esk4_2(X4,X5))&sdtpldt0(X4,esk4_2(X4,X5))=X5)))|(~(aNaturalNumber0(X4))|~(aNaturalNumber0(X5)))),inference(shift_quantors,[status(thm)],[175])).
% fof(177, plain,![X4]:![X5]:![X7]:((((~(aNaturalNumber0(X7))|~(sdtpldt0(X4,X7)=X5))|sdtlseqdt0(X4,X5))|(~(aNaturalNumber0(X4))|~(aNaturalNumber0(X5))))&(((aNaturalNumber0(esk4_2(X4,X5))|~(sdtlseqdt0(X4,X5)))|(~(aNaturalNumber0(X4))|~(aNaturalNumber0(X5))))&((sdtpldt0(X4,esk4_2(X4,X5))=X5|~(sdtlseqdt0(X4,X5)))|(~(aNaturalNumber0(X4))|~(aNaturalNumber0(X5)))))),inference(distribute,[status(thm)],[176])).
% cnf(178,plain,(sdtpldt0(X2,esk4_2(X2,X1))=X1|~aNaturalNumber0(X1)|~aNaturalNumber0(X2)|~sdtlseqdt0(X2,X1)),inference(split_conjunct,[status(thm)],[177])).
% cnf(179,plain,(aNaturalNumber0(esk4_2(X2,X1))|~aNaturalNumber0(X1)|~aNaturalNumber0(X2)|~sdtlseqdt0(X2,X1)),inference(split_conjunct,[status(thm)],[177])).
% cnf(180,plain,(sdtlseqdt0(X2,X1)|~aNaturalNumber0(X1)|~aNaturalNumber0(X2)|sdtpldt0(X2,X3)!=X1|~aNaturalNumber0(X3)),inference(split_conjunct,[status(thm)],[177])).
% fof(194, plain,![X1]:(~(aNaturalNumber0(X1))|(sdtpldt0(X1,sz00)=X1&X1=sdtpldt0(sz00,X1))),inference(fof_nnf,[status(thm)],[35])).
% fof(195, plain,![X2]:(~(aNaturalNumber0(X2))|(sdtpldt0(X2,sz00)=X2&X2=sdtpldt0(sz00,X2))),inference(variable_rename,[status(thm)],[194])).
% fof(196, plain,![X2]:((sdtpldt0(X2,sz00)=X2|~(aNaturalNumber0(X2)))&(X2=sdtpldt0(sz00,X2)|~(aNaturalNumber0(X2)))),inference(distribute,[status(thm)],[195])).
% cnf(197,plain,(X1=sdtpldt0(sz00,X1)|~aNaturalNumber0(X1)),inference(split_conjunct,[status(thm)],[196])).
% cnf(210,plain,(sz10!=sz00),inference(split_conjunct,[status(thm)],[39])).
% cnf(211,plain,(aNaturalNumber0(sz10)),inference(split_conjunct,[status(thm)],[39])).
% fof(212, plain,![X1]:(~(aNaturalNumber0(X1))|(sdtasdt0(X1,sz10)=X1&X1=sdtasdt0(sz10,X1))),inference(fof_nnf,[status(thm)],[40])).
% fof(213, plain,![X2]:(~(aNaturalNumber0(X2))|(sdtasdt0(X2,sz10)=X2&X2=sdtasdt0(sz10,X2))),inference(variable_rename,[status(thm)],[212])).
% fof(214, plain,![X2]:((sdtasdt0(X2,sz10)=X2|~(aNaturalNumber0(X2)))&(X2=sdtasdt0(sz10,X2)|~(aNaturalNumber0(X2)))),inference(distribute,[status(thm)],[213])).
% cnf(215,plain,(X1=sdtasdt0(sz10,X1)|~aNaturalNumber0(X1)),inference(split_conjunct,[status(thm)],[214])).
% fof(222, plain,![X1]:![X2]:((~(aNaturalNumber0(X1))|~(aNaturalNumber0(X2)))|sdtpldt0(X1,X2)=sdtpldt0(X2,X1)),inference(fof_nnf,[status(thm)],[43])).
% fof(223, plain,![X3]:![X4]:((~(aNaturalNumber0(X3))|~(aNaturalNumber0(X4)))|sdtpldt0(X3,X4)=sdtpldt0(X4,X3)),inference(variable_rename,[status(thm)],[222])).
% cnf(224,plain,(sdtpldt0(X1,X2)=sdtpldt0(X2,X1)|~aNaturalNumber0(X2)|~aNaturalNumber0(X1)),inference(split_conjunct,[status(thm)],[223])).
% fof(228, 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)],[45])).
% fof(229, 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)],[228])).
% fof(230, 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)],[229])).
% cnf(231,plain,(X2=X1|~aNaturalNumber0(X1)|~aNaturalNumber0(X2)|~aNaturalNumber0(X3)|sdtpldt0(X2,X3)!=sdtpldt0(X1,X3)),inference(split_conjunct,[status(thm)],[230])).
% fof(235, 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)],[47])).
% fof(236, 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)],[235])).
% fof(237, 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)],[236])).
% fof(238, 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)],[237])).
% cnf(239,plain,(X3=sdtmndt0(X1,X2)|~aNaturalNumber0(X1)|~aNaturalNumber0(X2)|~sdtlseqdt0(X2,X1)|sdtpldt0(X2,X3)!=X1|~aNaturalNumber0(X3)),inference(split_conjunct,[status(thm)],[238])).
% cnf(241,plain,(aNaturalNumber0(X3)|~aNaturalNumber0(X1)|~aNaturalNumber0(X2)|~sdtlseqdt0(X2,X1)|X3!=sdtmndt0(X1,X2)),inference(split_conjunct,[status(thm)],[238])).
% fof(242, negated_conjecture,(xm=xn|~(sdtlseqdt0(xm,xn))),inference(fof_nnf,[status(thm)],[49])).
% cnf(243,negated_conjecture,(xm=xn|~sdtlseqdt0(xm,xn)),inference(split_conjunct,[status(thm)],[242])).
% cnf(245,plain,(sdtmndt0(X1,X2)=X3|sdtpldt0(X2,X3)!=X1|~aNaturalNumber0(X3)|~aNaturalNumber0(X2)|~aNaturalNumber0(X1)),inference(csr,[status(thm)],[239,180])).
% cnf(255,plain,(~isPrime0(sz10)|~aNaturalNumber0(sz10)),inference(er,[status(thm)],[158,theory(equality)])).
% cnf(256,plain,(~isPrime0(sz10)|$false),inference(rw,[status(thm)],[255,211,theory(equality)])).
% cnf(257,plain,(~isPrime0(sz10)),inference(cn,[status(thm)],[256,theory(equality)])).
% cnf(259,plain,(aNaturalNumber0(sdtasdt0(xn,xn))|~aNaturalNumber0(sdtasdt0(xm,xm))|~aNaturalNumber0(xp)),inference(spm,[status(thm)],[56,141,theory(equality)])).
% cnf(265,plain,(aNaturalNumber0(sdtasdt0(xn,xn))|~aNaturalNumber0(sdtasdt0(xm,xm))|$false),inference(rw,[status(thm)],[259,135,theory(equality)])).
% cnf(266,plain,(aNaturalNumber0(sdtasdt0(xn,xn))|~aNaturalNumber0(sdtasdt0(xm,xm))),inference(cn,[status(thm)],[265,theory(equality)])).
% cnf(291,plain,(aNaturalNumber0(sdtasdt0(xm,xm))|~aNaturalNumber0(sdtasdt0(xq,xq))|~aNaturalNumber0(xp)),inference(spm,[status(thm)],[56,146,theory(equality)])).
% cnf(292,plain,(aNaturalNumber0(sdtasdt0(xm,xm))|~aNaturalNumber0(sdtasdt0(xq,xq))|$false),inference(rw,[status(thm)],[291,135,theory(equality)])).
% cnf(293,plain,(aNaturalNumber0(sdtasdt0(xm,xm))|~aNaturalNumber0(sdtasdt0(xq,xq))),inference(cn,[status(thm)],[292,theory(equality)])).
% cnf(375,plain,(sz00=X1|sdtlseqdt0(X2,sdtasdt0(X1,X2))|~aNaturalNumber0(X1)|~aNaturalNumber0(X2)),inference(spm,[status(thm)],[100,59,theory(equality)])).
% cnf(403,plain,(sz00=xn|sdtlseqdt0(xp,xn)|~aNaturalNumber0(xn)|~aNaturalNumber0(xp)),inference(spm,[status(thm)],[124,143,theory(equality)])).
% cnf(405,plain,(sz00=xn|sdtlseqdt0(xp,xn)|$false|~aNaturalNumber0(xp)),inference(rw,[status(thm)],[403,137,theory(equality)])).
% cnf(406,plain,(sz00=xn|sdtlseqdt0(xp,xn)|$false|$false),inference(rw,[status(thm)],[405,135,theory(equality)])).
% cnf(407,plain,(sz00=xn|sdtlseqdt0(xp,xn)),inference(cn,[status(thm)],[406,theory(equality)])).
% cnf(408,plain,(sdtlseqdt0(xp,xn)),inference(sr,[status(thm)],[407,134,theory(equality)])).
% cnf(437,plain,(sdtlseqdt0(X1,X2)|sdtlseqdt0(X2,X3)|~sdtlseqdt0(X1,X3)|~aNaturalNumber0(X3)|~aNaturalNumber0(X2)|~aNaturalNumber0(X1)),inference(spm,[status(thm)],[85,89,theory(equality)])).
% cnf(451,plain,(sdtlseqdt0(sz00,X1)|X2!=X1|~aNaturalNumber0(X2)|~aNaturalNumber0(sz00)|~aNaturalNumber0(X1)),inference(spm,[status(thm)],[180,197,theory(equality)])).
% cnf(455,plain,(sdtlseqdt0(sz00,X1)|X2!=X1|~aNaturalNumber0(X2)|$false|~aNaturalNumber0(X1)),inference(rw,[status(thm)],[451,53,theory(equality)])).
% cnf(456,plain,(sdtlseqdt0(sz00,X1)|X2!=X1|~aNaturalNumber0(X2)|~aNaturalNumber0(X1)),inference(cn,[status(thm)],[455,theory(equality)])).
% cnf(457,plain,(sdtlseqdt0(sz00,X1)|~aNaturalNumber0(X1)),inference(er,[status(thm)],[456,theory(equality)])).
% cnf(515,plain,(doDivides0(sz10,X1)|X2!=X1|~aNaturalNumber0(X2)|~aNaturalNumber0(sz10)|~aNaturalNumber0(X1)),inference(spm,[status(thm)],[111,215,theory(equality)])).
% cnf(523,plain,(doDivides0(sz10,X1)|X2!=X1|~aNaturalNumber0(X2)|$false|~aNaturalNumber0(X1)),inference(rw,[status(thm)],[515,211,theory(equality)])).
% cnf(524,plain,(doDivides0(sz10,X1)|X2!=X1|~aNaturalNumber0(X2)|~aNaturalNumber0(X1)),inference(cn,[status(thm)],[523,theory(equality)])).
% cnf(525,plain,(doDivides0(sz10,X1)|~aNaturalNumber0(X1)),inference(er,[status(thm)],[524,theory(equality)])).
% cnf(540,plain,(doDivides0(X1,xn)|~doDivides0(X1,xp)|~aNaturalNumber0(xp)|~aNaturalNumber0(xn)|~aNaturalNumber0(X1)),inference(spm,[status(thm)],[121,143,theory(equality)])).
% cnf(542,plain,(doDivides0(X1,xn)|~doDivides0(X1,xp)|$false|~aNaturalNumber0(xn)|~aNaturalNumber0(X1)),inference(rw,[status(thm)],[540,135,theory(equality)])).
% cnf(543,plain,(doDivides0(X1,xn)|~doDivides0(X1,xp)|$false|$false|~aNaturalNumber0(X1)),inference(rw,[status(thm)],[542,137,theory(equality)])).
% cnf(544,plain,(doDivides0(X1,xn)|~doDivides0(X1,xp)|~aNaturalNumber0(X1)),inference(cn,[status(thm)],[543,theory(equality)])).
% cnf(548,plain,(sz00=xp|aNaturalNumber0(X1)|xq!=X1|~doDivides0(xp,xn)|~aNaturalNumber0(xp)|~aNaturalNumber0(xn)),inference(spm,[status(thm)],[118,145,theory(equality)])).
% cnf(549,plain,(sz00=xp|aNaturalNumber0(X1)|xq!=X1|$false|~aNaturalNumber0(xp)|~aNaturalNumber0(xn)),inference(rw,[status(thm)],[548,143,theory(equality)])).
% cnf(550,plain,(sz00=xp|aNaturalNumber0(X1)|xq!=X1|$false|$false|~aNaturalNumber0(xn)),inference(rw,[status(thm)],[549,135,theory(equality)])).
% cnf(551,plain,(sz00=xp|aNaturalNumber0(X1)|xq!=X1|$false|$false|$false),inference(rw,[status(thm)],[550,137,theory(equality)])).
% cnf(552,plain,(sz00=xp|aNaturalNumber0(X1)|xq!=X1),inference(cn,[status(thm)],[551,theory(equality)])).
% cnf(553,plain,(aNaturalNumber0(X1)|xq!=X1),inference(sr,[status(thm)],[552,132,theory(equality)])).
% cnf(555,plain,(sz00=X1|X2=sz10|sdtasdt0(X2,X1)!=X1|~aNaturalNumber0(sz10)|~aNaturalNumber0(X2)|~aNaturalNumber0(X1)),inference(spm,[status(thm)],[72,215,theory(equality)])).
% cnf(569,plain,(sz00=X1|X2=sz10|sdtasdt0(X2,X1)!=X1|$false|~aNaturalNumber0(X2)|~aNaturalNumber0(X1)),inference(rw,[status(thm)],[555,211,theory(equality)])).
% cnf(570,plain,(sz00=X1|X2=sz10|sdtasdt0(X2,X1)!=X1|~aNaturalNumber0(X2)|~aNaturalNumber0(X1)),inference(cn,[status(thm)],[569,theory(equality)])).
% cnf(936,plain,(sdtlseqdt0(X1,xn)|~sdtlseqdt0(X1,xp)|~aNaturalNumber0(xp)|~aNaturalNumber0(xn)|~aNaturalNumber0(X1)),inference(spm,[status(thm)],[85,408,theory(equality)])).
% cnf(957,plain,(sdtlseqdt0(X1,xn)|~sdtlseqdt0(X1,xp)|$false|~aNaturalNumber0(xn)|~aNaturalNumber0(X1)),inference(rw,[status(thm)],[936,135,theory(equality)])).
% cnf(958,plain,(sdtlseqdt0(X1,xn)|~sdtlseqdt0(X1,xp)|$false|$false|~aNaturalNumber0(X1)),inference(rw,[status(thm)],[957,137,theory(equality)])).
% cnf(959,plain,(sdtlseqdt0(X1,xn)|~sdtlseqdt0(X1,xp)|~aNaturalNumber0(X1)),inference(cn,[status(thm)],[958,theory(equality)])).
% cnf(1005,plain,(aNaturalNumber0(sdtasdt0(xn,xn))|~aNaturalNumber0(xm)),inference(spm,[status(thm)],[266,56,theory(equality)])).
% cnf(1010,plain,(aNaturalNumber0(sdtasdt0(xn,xn))|$false),inference(rw,[status(thm)],[1005,136,theory(equality)])).
% cnf(1011,plain,(aNaturalNumber0(sdtasdt0(xn,xn))),inference(cn,[status(thm)],[1010,theory(equality)])).
% cnf(1016,plain,(aNaturalNumber0(xq)),inference(er,[status(thm)],[553,theory(equality)])).
% cnf(1168,plain,(aNaturalNumber0(sdtasdt0(xm,xm))|~aNaturalNumber0(xq)),inference(spm,[status(thm)],[293,56,theory(equality)])).
% cnf(1173,plain,(aNaturalNumber0(sdtasdt0(xm,xm))|$false),inference(rw,[status(thm)],[1168,1016,theory(equality)])).
% cnf(1174,plain,(aNaturalNumber0(sdtasdt0(xm,xm))),inference(cn,[status(thm)],[1173,theory(equality)])).
% cnf(1199,plain,(sdtlseqdt0(sz00,xn)|~aNaturalNumber0(sz00)|~aNaturalNumber0(xp)),inference(spm,[status(thm)],[959,457,theory(equality)])).
% cnf(1207,plain,(sdtlseqdt0(sz00,xn)|$false|~aNaturalNumber0(xp)),inference(rw,[status(thm)],[1199,53,theory(equality)])).
% cnf(1208,plain,(sdtlseqdt0(sz00,xn)|$false|$false),inference(rw,[status(thm)],[1207,135,theory(equality)])).
% cnf(1209,plain,(sdtlseqdt0(sz00,xn)),inference(cn,[status(thm)],[1208,theory(equality)])).
% cnf(1221,plain,(aNaturalNumber0(esk4_2(sz00,xn))|~aNaturalNumber0(sz00)|~aNaturalNumber0(xn)),inference(spm,[status(thm)],[179,1209,theory(equality)])).
% cnf(1222,plain,(sdtpldt0(sz00,esk4_2(sz00,xn))=xn|~aNaturalNumber0(sz00)|~aNaturalNumber0(xn)),inference(spm,[status(thm)],[178,1209,theory(equality)])).
% cnf(1242,plain,(aNaturalNumber0(esk4_2(sz00,xn))|$false|~aNaturalNumber0(xn)),inference(rw,[status(thm)],[1221,53,theory(equality)])).
% cnf(1243,plain,(aNaturalNumber0(esk4_2(sz00,xn))|$false|$false),inference(rw,[status(thm)],[1242,137,theory(equality)])).
% cnf(1244,plain,(aNaturalNumber0(esk4_2(sz00,xn))),inference(cn,[status(thm)],[1243,theory(equality)])).
% cnf(1245,plain,(sdtpldt0(sz00,esk4_2(sz00,xn))=xn|$false|~aNaturalNumber0(xn)),inference(rw,[status(thm)],[1222,53,theory(equality)])).
% cnf(1246,plain,(sdtpldt0(sz00,esk4_2(sz00,xn))=xn|$false|$false),inference(rw,[status(thm)],[1245,137,theory(equality)])).
% cnf(1247,plain,(sdtpldt0(sz00,esk4_2(sz00,xn))=xn),inference(cn,[status(thm)],[1246,theory(equality)])).
% cnf(1321,plain,(xn=esk4_2(sz00,xn)|~aNaturalNumber0(esk4_2(sz00,xn))),inference(spm,[status(thm)],[197,1247,theory(equality)])).
% cnf(1353,plain,(xn=esk4_2(sz00,xn)|$false),inference(rw,[status(thm)],[1321,1244,theory(equality)])).
% cnf(1354,plain,(xn=esk4_2(sz00,xn)),inference(cn,[status(thm)],[1353,theory(equality)])).
% cnf(1355,plain,(sdtpldt0(sz00,xn)=xn),inference(rw,[status(thm)],[1247,1354,theory(equality)])).
% cnf(1360,plain,(X1=sz00|sdtpldt0(X1,xn)!=xn|~aNaturalNumber0(xn)|~aNaturalNumber0(sz00)|~aNaturalNumber0(X1)),inference(spm,[status(thm)],[231,1355,theory(equality)])).
% cnf(1361,plain,(sdtmndt0(X1,sz00)=xn|xn!=X1|~aNaturalNumber0(xn)|~aNaturalNumber0(sz00)|~aNaturalNumber0(X1)),inference(spm,[status(thm)],[245,1355,theory(equality)])).
% cnf(1377,plain,(X1=sz00|sdtpldt0(X1,xn)!=xn|$false|~aNaturalNumber0(sz00)|~aNaturalNumber0(X1)),inference(rw,[status(thm)],[1360,137,theory(equality)])).
% cnf(1378,plain,(X1=sz00|sdtpldt0(X1,xn)!=xn|$false|$false|~aNaturalNumber0(X1)),inference(rw,[status(thm)],[1377,53,theory(equality)])).
% cnf(1379,plain,(X1=sz00|sdtpldt0(X1,xn)!=xn|~aNaturalNumber0(X1)),inference(cn,[status(thm)],[1378,theory(equality)])).
% cnf(1380,plain,(sdtmndt0(X1,sz00)=xn|xn!=X1|$false|~aNaturalNumber0(sz00)|~aNaturalNumber0(X1)),inference(rw,[status(thm)],[1361,137,theory(equality)])).
% cnf(1381,plain,(sdtmndt0(X1,sz00)=xn|xn!=X1|$false|$false|~aNaturalNumber0(X1)),inference(rw,[status(thm)],[1380,53,theory(equality)])).
% cnf(1382,plain,(sdtmndt0(X1,sz00)=xn|xn!=X1|~aNaturalNumber0(X1)),inference(cn,[status(thm)],[1381,theory(equality)])).
% cnf(1590,plain,(X1=sz00|sdtpldt0(xn,X1)!=xn|~aNaturalNumber0(X1)|~aNaturalNumber0(xn)),inference(spm,[status(thm)],[1379,224,theory(equality)])).
% cnf(1594,plain,(X1=sz00|sdtpldt0(xn,X1)!=xn|~aNaturalNumber0(X1)|$false),inference(rw,[status(thm)],[1590,137,theory(equality)])).
% cnf(1595,plain,(X1=sz00|sdtpldt0(xn,X1)!=xn|~aNaturalNumber0(X1)),inference(cn,[status(thm)],[1594,theory(equality)])).
% cnf(2249,plain,(sdtmndt0(xn,sz00)=xn|~aNaturalNumber0(xn)),inference(er,[status(thm)],[1382,theory(equality)])).
% cnf(2250,plain,(sdtmndt0(xn,sz00)=xn|$false),inference(rw,[status(thm)],[2249,137,theory(equality)])).
% cnf(2251,plain,(sdtmndt0(xn,sz00)=xn),inference(cn,[status(thm)],[2250,theory(equality)])).
% cnf(2252,plain,(aNaturalNumber0(X1)|xn!=X1|~sdtlseqdt0(sz00,xn)|~aNaturalNumber0(sz00)|~aNaturalNumber0(xn)),inference(spm,[status(thm)],[241,2251,theory(equality)])).
% cnf(2254,plain,(aNaturalNumber0(X1)|xn!=X1|$false|~aNaturalNumber0(sz00)|~aNaturalNumber0(xn)),inference(rw,[status(thm)],[2252,1209,theory(equality)])).
% cnf(2255,plain,(aNaturalNumber0(X1)|xn!=X1|$false|$false|~aNaturalNumber0(xn)),inference(rw,[status(thm)],[2254,53,theory(equality)])).
% cnf(2256,plain,(aNaturalNumber0(X1)|xn!=X1|$false|$false|$false),inference(rw,[status(thm)],[2255,137,theory(equality)])).
% cnf(2257,plain,(aNaturalNumber0(X1)|xn!=X1),inference(cn,[status(thm)],[2256,theory(equality)])).
% cnf(2740,plain,(doDivides0(sz10,xn)|~aNaturalNumber0(sz10)|~aNaturalNumber0(xp)),inference(spm,[status(thm)],[544,525,theory(equality)])).
% cnf(2748,plain,(doDivides0(sz10,xn)|$false|~aNaturalNumber0(xp)),inference(rw,[status(thm)],[2740,211,theory(equality)])).
% cnf(2749,plain,(doDivides0(sz10,xn)|$false|$false),inference(rw,[status(thm)],[2748,135,theory(equality)])).
% cnf(2750,plain,(doDivides0(sz10,xn)),inference(cn,[status(thm)],[2749,theory(equality)])).
% cnf(2827,plain,(aNaturalNumber0(esk1_2(sz10,xn))|~aNaturalNumber0(sz10)|~aNaturalNumber0(xn)),inference(spm,[status(thm)],[110,2750,theory(equality)])).
% cnf(2828,plain,(sdtasdt0(sz10,esk1_2(sz10,xn))=xn|~aNaturalNumber0(sz10)|~aNaturalNumber0(xn)),inference(spm,[status(thm)],[109,2750,theory(equality)])).
% cnf(2836,plain,(aNaturalNumber0(esk1_2(sz10,xn))|$false|~aNaturalNumber0(xn)),inference(rw,[status(thm)],[2827,211,theory(equality)])).
% cnf(2837,plain,(aNaturalNumber0(esk1_2(sz10,xn))|$false|$false),inference(rw,[status(thm)],[2836,137,theory(equality)])).
% cnf(2838,plain,(aNaturalNumber0(esk1_2(sz10,xn))),inference(cn,[status(thm)],[2837,theory(equality)])).
% cnf(2839,plain,(sdtasdt0(sz10,esk1_2(sz10,xn))=xn|$false|~aNaturalNumber0(xn)),inference(rw,[status(thm)],[2828,211,theory(equality)])).
% cnf(2840,plain,(sdtasdt0(sz10,esk1_2(sz10,xn))=xn|$false|$false),inference(rw,[status(thm)],[2839,137,theory(equality)])).
% cnf(2841,plain,(sdtasdt0(sz10,esk1_2(sz10,xn))=xn),inference(cn,[status(thm)],[2840,theory(equality)])).
% cnf(2939,plain,(xn=esk1_2(sz10,xn)|~aNaturalNumber0(esk1_2(sz10,xn))),inference(spm,[status(thm)],[215,2841,theory(equality)])).
% cnf(2994,plain,(xn=esk1_2(sz10,xn)|$false),inference(rw,[status(thm)],[2939,2838,theory(equality)])).
% cnf(2995,plain,(xn=esk1_2(sz10,xn)),inference(cn,[status(thm)],[2994,theory(equality)])).
% cnf(2997,plain,(sdtasdt0(sz10,xn)=xn),inference(rw,[status(thm)],[2841,2995,theory(equality)])).
% cnf(3085,plain,(sz00=sz10|sdtlseqdt0(xn,xn)|~aNaturalNumber0(sz10)|~aNaturalNumber0(xn)),inference(spm,[status(thm)],[375,2997,theory(equality)])).
% cnf(3089,plain,(sz00=xp|sdtlseqdt0(sdtasdt0(xm,xm),sdtasdt0(xn,xn))|~aNaturalNumber0(xp)|~aNaturalNumber0(sdtasdt0(xm,xm))),inference(spm,[status(thm)],[375,141,theory(equality)])).
% cnf(3099,plain,(sz00=sz10|sdtlseqdt0(xn,xn)|$false|~aNaturalNumber0(xn)),inference(rw,[status(thm)],[3085,211,theory(equality)])).
% cnf(3100,plain,(sz00=sz10|sdtlseqdt0(xn,xn)|$false|$false),inference(rw,[status(thm)],[3099,137,theory(equality)])).
% cnf(3101,plain,(sz00=sz10|sdtlseqdt0(xn,xn)),inference(cn,[status(thm)],[3100,theory(equality)])).
% cnf(3102,plain,(sdtlseqdt0(xn,xn)),inference(sr,[status(thm)],[3101,210,theory(equality)])).
% cnf(3113,plain,(sz00=xp|sdtlseqdt0(sdtasdt0(xm,xm),sdtasdt0(xn,xn))|$false|~aNaturalNumber0(sdtasdt0(xm,xm))),inference(rw,[status(thm)],[3089,135,theory(equality)])).
% cnf(3114,plain,(sz00=xp|sdtlseqdt0(sdtasdt0(xm,xm),sdtasdt0(xn,xn))|$false|$false),inference(rw,[status(thm)],[3113,1174,theory(equality)])).
% cnf(3115,plain,(sz00=xp|sdtlseqdt0(sdtasdt0(xm,xm),sdtasdt0(xn,xn))),inference(cn,[status(thm)],[3114,theory(equality)])).
% cnf(3116,plain,(sdtlseqdt0(sdtasdt0(xm,xm),sdtasdt0(xn,xn))),inference(sr,[status(thm)],[3115,132,theory(equality)])).
% cnf(3121,plain,(aNaturalNumber0(esk4_2(xn,xn))|~aNaturalNumber0(xn)),inference(spm,[status(thm)],[179,3102,theory(equality)])).
% cnf(3122,plain,(sdtpldt0(xn,esk4_2(xn,xn))=xn|~aNaturalNumber0(xn)),inference(spm,[status(thm)],[178,3102,theory(equality)])).
% cnf(3127,plain,(aNaturalNumber0(esk4_2(xn,xn))|$false),inference(rw,[status(thm)],[3121,137,theory(equality)])).
% cnf(3128,plain,(aNaturalNumber0(esk4_2(xn,xn))),inference(cn,[status(thm)],[3127,theory(equality)])).
% cnf(3129,plain,(sdtpldt0(xn,esk4_2(xn,xn))=xn|$false),inference(rw,[status(thm)],[3122,137,theory(equality)])).
% cnf(3130,plain,(sdtpldt0(xn,esk4_2(xn,xn))=xn),inference(cn,[status(thm)],[3129,theory(equality)])).
% cnf(3231,plain,(esk4_2(xn,xn)=sz00|~aNaturalNumber0(esk4_2(xn,xn))),inference(spm,[status(thm)],[1595,3130,theory(equality)])).
% cnf(3266,plain,(esk4_2(xn,xn)=sz00|$false),inference(rw,[status(thm)],[3231,3128,theory(equality)])).
% cnf(3267,plain,(esk4_2(xn,xn)=sz00),inference(cn,[status(thm)],[3266,theory(equality)])).
% cnf(3269,plain,(sdtpldt0(xn,sz00)=xn),inference(rw,[status(thm)],[3130,3267,theory(equality)])).
% cnf(3285,plain,(sdtlseqdt0(xn,X1)|xn!=X1|~aNaturalNumber0(sz00)|~aNaturalNumber0(xn)|~aNaturalNumber0(X1)),inference(spm,[status(thm)],[180,3269,theory(equality)])).
% cnf(3320,plain,(sdtlseqdt0(xn,X1)|xn!=X1|$false|~aNaturalNumber0(xn)|~aNaturalNumber0(X1)),inference(rw,[status(thm)],[3285,53,theory(equality)])).
% cnf(3321,plain,(sdtlseqdt0(xn,X1)|xn!=X1|$false|$false|~aNaturalNumber0(X1)),inference(rw,[status(thm)],[3320,137,theory(equality)])).
% cnf(3322,plain,(sdtlseqdt0(xn,X1)|xn!=X1|~aNaturalNumber0(X1)),inference(cn,[status(thm)],[3321,theory(equality)])).
% cnf(3384,plain,(sdtlseqdt0(xn,X1)|xn!=X1),inference(csr,[status(thm)],[3322,2257])).
% cnf(4939,plain,(sdtlseqdt0(X1,xn)|sdtlseqdt0(xn,X1)|~aNaturalNumber0(xn)|~aNaturalNumber0(X1)),inference(spm,[status(thm)],[437,3102,theory(equality)])).
% cnf(5005,plain,(sdtlseqdt0(X1,xn)|sdtlseqdt0(xn,X1)|$false|~aNaturalNumber0(X1)),inference(rw,[status(thm)],[4939,137,theory(equality)])).
% cnf(5006,plain,(sdtlseqdt0(X1,xn)|sdtlseqdt0(xn,X1)|~aNaturalNumber0(X1)),inference(cn,[status(thm)],[5005,theory(equality)])).
% cnf(5503,negated_conjecture,(xm=xn|sdtlseqdt0(xn,xm)|~aNaturalNumber0(xm)),inference(spm,[status(thm)],[243,5006,theory(equality)])).
% cnf(5544,negated_conjecture,(xm=xn|sdtlseqdt0(xn,xm)|$false),inference(rw,[status(thm)],[5503,136,theory(equality)])).
% cnf(5545,negated_conjecture,(xm=xn|sdtlseqdt0(xn,xm)),inference(cn,[status(thm)],[5544,theory(equality)])).
% cnf(5624,negated_conjecture,(sdtlseqdt0(xn,xm)),inference(csr,[status(thm)],[5545,3384])).
% cnf(5638,plain,(sdtlseqdt0(sdtasdt0(xn,xn),sdtasdt0(xm,xm))|$false),inference(rw,[status(thm)],[148,5624,theory(equality)])).
% cnf(5639,plain,(sdtlseqdt0(sdtasdt0(xn,xn),sdtasdt0(xm,xm))),inference(cn,[status(thm)],[5638,theory(equality)])).
% cnf(5677,plain,(sdtasdt0(xm,xm)=sdtasdt0(xn,xn)|~sdtlseqdt0(sdtasdt0(xm,xm),sdtasdt0(xn,xn))|~aNaturalNumber0(sdtasdt0(xn,xn))|~aNaturalNumber0(sdtasdt0(xm,xm))),inference(spm,[status(thm)],[82,5639,theory(equality)])).
% cnf(5692,plain,(sdtasdt0(xm,xm)=sdtasdt0(xn,xn)|$false|~aNaturalNumber0(sdtasdt0(xn,xn))|~aNaturalNumber0(sdtasdt0(xm,xm))),inference(rw,[status(thm)],[5677,3116,theory(equality)])).
% cnf(5693,plain,(sdtasdt0(xm,xm)=sdtasdt0(xn,xn)|$false|$false|~aNaturalNumber0(sdtasdt0(xm,xm))),inference(rw,[status(thm)],[5692,1011,theory(equality)])).
% cnf(5694,plain,(sdtasdt0(xm,xm)=sdtasdt0(xn,xn)|$false|$false|$false),inference(rw,[status(thm)],[5693,1174,theory(equality)])).
% cnf(5695,plain,(sdtasdt0(xm,xm)=sdtasdt0(xn,xn)),inference(cn,[status(thm)],[5694,theory(equality)])).
% cnf(5902,plain,(sz00=xm|sdtasdt0(xn,xn)!=sz00|~aNaturalNumber0(xm)),inference(spm,[status(thm)],[76,5695,theory(equality)])).
% cnf(5931,plain,(sdtasdt0(xp,sdtasdt0(xn,xn))=sdtasdt0(xn,xn)),inference(rw,[status(thm)],[141,5695,theory(equality)])).
% cnf(5944,plain,(sz00=xm|sdtasdt0(xn,xn)!=sz00|$false),inference(rw,[status(thm)],[5902,136,theory(equality)])).
% cnf(5945,plain,(sz00=xm|sdtasdt0(xn,xn)!=sz00),inference(cn,[status(thm)],[5944,theory(equality)])).
% cnf(5946,plain,(sdtasdt0(xn,xn)!=sz00),inference(sr,[status(thm)],[5945,133,theory(equality)])).
% cnf(12446,plain,(xp=sz10|sz00=sdtasdt0(xn,xn)|~aNaturalNumber0(xp)|~aNaturalNumber0(sdtasdt0(xn,xn))),inference(spm,[status(thm)],[570,5931,theory(equality)])).
% cnf(12471,plain,(xp=sz10|sz00=sdtasdt0(xn,xn)|$false|~aNaturalNumber0(sdtasdt0(xn,xn))),inference(rw,[status(thm)],[12446,135,theory(equality)])).
% cnf(12472,plain,(xp=sz10|sz00=sdtasdt0(xn,xn)|$false|$false),inference(rw,[status(thm)],[12471,1011,theory(equality)])).
% cnf(12473,plain,(xp=sz10|sz00=sdtasdt0(xn,xn)),inference(cn,[status(thm)],[12472,theory(equality)])).
% cnf(12474,plain,(xp=sz10),inference(sr,[status(thm)],[12473,5946,theory(equality)])).
% cnf(12570,plain,(isPrime0(sz10)),inference(rw,[status(thm)],[142,12474,theory(equality)])).
% cnf(12571,plain,($false),inference(sr,[status(thm)],[12570,257,theory(equality)])).
% cnf(12572,plain,($false),12571,['proof']).
% # SZS output end CNFRefutation
% # Processed clauses : 964
% # ...of these trivial : 18
% # ...subsumed : 333
% # ...remaining for further processing: 613
% # Other redundant clauses eliminated : 35
% # Clauses deleted for lack of memory : 0
% # Backward-subsumed : 68
% # Backward-rewritten : 108
% # Generated clauses : 3628
% # ...of the previous two non-trivial : 2922
% # Contextual simplify-reflections : 129
% # Paramodulations : 3523
% # Factorizations : 8
% # Equation resolutions : 96
% # Current number of processed clauses: 357
% # Positive orientable unit clauses: 120
% # Positive unorientable unit clauses: 0
% # Negative unit clauses : 18
% # Non-unit-clauses : 219
% # Current number of unprocessed clauses: 1321
% # ...number of literals in the above : 5500
% # Clause-clause subsumption calls (NU) : 2816
% # Rec. Clause-clause subsumption calls : 1852
% # Unit Clause-clause subsumption calls : 83
% # Rewrite failures with RHS unbound : 0
% # Indexed BW rewrite attempts : 41
% # Indexed BW rewrite successes : 40
% # Backwards rewriting index: 300 leaves, 1.17+/-0.761 terms/leaf
% # Paramod-from index: 192 leaves, 1.04+/-0.224 terms/leaf
% # Paramod-into index: 276 leaves, 1.10+/-0.581 terms/leaf
% # -------------------------------------------------
% # User time : 0.200 s
% # System time : 0.011 s
% # Total time : 0.211 s
% # Maximum resident set size: 0 pages
% PrfWatch: 0.47 CPU 0.58 WC
% FINAL PrfWatch: 0.47 CPU 0.58 WC
% SZS output end Solution for /tmp/SystemOnTPTP17181/NUM528+1.tptp
%
%------------------------------------------------------------------------------