%------------------------------------------------------------------------------
% File     : SRASS---0.1
% Problem  : NUM510+1 : TPTP v5.0.0. Released v4.0.0.
% Transfm  : none
% Format   : tptp
% Command  : SRASS -q2 -a 0 10 10 10 -i3 -n60 %s

% Computer : art03.cs.miami.edu
% Model    : i686 i686
% CPU      : Intel(R) Pentium(R) 4 CPU 2.80GHz @ 2793MHz
% Memory   : 2018MB
% OS       : Linux 2.6.26.8-57.fc8
% CPULimit : 300s
% DateTime : Wed Dec 29 19:44:57 EST 2010

% Result   : Theorem 1.52s
% Output   : Solution 1.52s
% 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/SystemOnTPTP9212/NUM510+1.tptp
% Adding relevance values
% Extracting the conjecture
% Sorting axioms by relevance
% Looking for THM       ... 
% found
% SZS status THM for /tmp/SystemOnTPTP9212/NUM510+1.tptp
% SZS output start Solution for /tmp/SystemOnTPTP9212/NUM510+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 9308
% 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,(aNaturalNumber0(sz10)&~(sz10=sz00)),file('/tmp/SRASS.s.p', mSortsC_01)).
% fof(4, axiom,![X1]:![X2]:((aNaturalNumber0(X1)&aNaturalNumber0(X2))=>aNaturalNumber0(sdtasdt0(X1,X2))),file('/tmp/SRASS.s.p', mSortsB_02)).
% fof(5, axiom,![X1]:![X2]:((aNaturalNumber0(X1)&aNaturalNumber0(X2))=>sdtpldt0(X1,X2)=sdtpldt0(X2,X1)),file('/tmp/SRASS.s.p', mAddComm)).
% fof(7, axiom,![X1]:(aNaturalNumber0(X1)=>(sdtpldt0(X1,sz00)=X1&X1=sdtpldt0(sz00,X1))),file('/tmp/SRASS.s.p', m_AddZero)).
% fof(8, axiom,![X1]:![X2]:((aNaturalNumber0(X1)&aNaturalNumber0(X2))=>sdtasdt0(X1,X2)=sdtasdt0(X2,X1)),file('/tmp/SRASS.s.p', mMulComm)).
% fof(10, axiom,![X1]:(aNaturalNumber0(X1)=>(sdtasdt0(X1,sz10)=X1&X1=sdtasdt0(sz10,X1))),file('/tmp/SRASS.s.p', m_MulUnit)).
% fof(11, axiom,![X1]:(aNaturalNumber0(X1)=>(sdtasdt0(X1,sz00)=sz00&sz00=sdtasdt0(sz00,X1))),file('/tmp/SRASS.s.p', m_MulZero)).
% fof(13, 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(14, axiom,![X1]:(aNaturalNumber0(X1)=>(~(X1=sz00)=>![X2]:![X3]:((aNaturalNumber0(X2)&aNaturalNumber0(X3))=>((sdtasdt0(X1,X2)=sdtasdt0(X1,X3)|sdtasdt0(X2,X1)=sdtasdt0(X3,X1))=>X2=X3)))),file('/tmp/SRASS.s.p', mMulCanc)).
% fof(17, axiom,![X1]:![X2]:((aNaturalNumber0(X1)&aNaturalNumber0(X2))=>(sdtlseqdt0(X1,X2)<=>?[X3]:(aNaturalNumber0(X3)&sdtpldt0(X1,X3)=X2))),file('/tmp/SRASS.s.p', mDefLE)).
% fof(20, axiom,![X1]:![X2]:![X3]:(((aNaturalNumber0(X1)&aNaturalNumber0(X2))&aNaturalNumber0(X3))=>((sdtlseqdt0(X1,X2)&sdtlseqdt0(X2,X3))=>sdtlseqdt0(X1,X3))),file('/tmp/SRASS.s.p', mLETran)).
% fof(25, axiom,![X1]:![X2]:((aNaturalNumber0(X1)&aNaturalNumber0(X2))=>(~(X1=sz00)=>sdtlseqdt0(X2,sdtasdt0(X2,X1)))),file('/tmp/SRASS.s.p', mMonMul2)).
% fof(27, axiom,![X1]:![X2]:((aNaturalNumber0(X1)&aNaturalNumber0(X2))=>(doDivides0(X1,X2)<=>?[X3]:(aNaturalNumber0(X3)&X2=sdtasdt0(X1,X3)))),file('/tmp/SRASS.s.p', mDefDiv)).
% fof(28, axiom,![X1]:![X2]:((aNaturalNumber0(X1)&aNaturalNumber0(X2))=>((~(X1=sz00)&doDivides0(X1,X2))=>![X3]:(X3=sdtsldt0(X2,X1)<=>(aNaturalNumber0(X3)&X2=sdtasdt0(X1,X3))))),file('/tmp/SRASS.s.p', mDefQuot)).
% fof(29, axiom,![X1]:![X2]:![X3]:(((aNaturalNumber0(X1)&aNaturalNumber0(X2))&aNaturalNumber0(X3))=>((doDivides0(X1,X2)&doDivides0(X2,X3))=>doDivides0(X1,X3))),file('/tmp/SRASS.s.p', mDivTrans)).
% fof(31, axiom,![X1]:![X2]:![X3]:(((aNaturalNumber0(X1)&aNaturalNumber0(X2))&aNaturalNumber0(X3))=>((doDivides0(X1,X2)&doDivides0(X1,sdtpldt0(X2,X3)))=>doDivides0(X1,X3))),file('/tmp/SRASS.s.p', mDivMin)).
% fof(33, axiom,![X1]:![X2]:((aNaturalNumber0(X1)&aNaturalNumber0(X2))=>((~(X1=sz00)&doDivides0(X1,X2))=>![X3]:(aNaturalNumber0(X3)=>sdtasdt0(X3,sdtsldt0(X2,X1))=sdtsldt0(sdtasdt0(X3,X2),X1)))),file('/tmp/SRASS.s.p', mDivAsso)).
% fof(34, axiom,![X1]:(aNaturalNumber0(X1)=>(isPrime0(X1)<=>((~(X1=sz00)&~(X1=sz10))&![X2]:((aNaturalNumber0(X2)&doDivides0(X2,X1))=>(X2=sz10|X2=X1))))),file('/tmp/SRASS.s.p', mDefPrime)).
% fof(36, axiom,((aNaturalNumber0(xn)&aNaturalNumber0(xm))&aNaturalNumber0(xp)),file('/tmp/SRASS.s.p', m__1837)).
% fof(39, axiom,~(sdtlseqdt0(xp,xn)),file('/tmp/SRASS.s.p', m__1870)).
% fof(41, axiom,(((~(xn=xp)&sdtlseqdt0(xn,xp))&~(xm=xp))&sdtlseqdt0(xm,xp)),file('/tmp/SRASS.s.p', m__2287)).
% fof(42, axiom,xk=sdtsldt0(sdtasdt0(xn,xm),xp),file('/tmp/SRASS.s.p', m__2306)).
% fof(43, axiom,~((xk=sz00|xk=sz10)),file('/tmp/SRASS.s.p', m__2315)).
% fof(45, axiom,((aNaturalNumber0(xr)&doDivides0(xr,xk))&isPrime0(xr)),file('/tmp/SRASS.s.p', m__2342)).
% fof(49, axiom,doDivides0(xr,xn),file('/tmp/SRASS.s.p', m__2487)).
% fof(50, 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(53, conjecture,(~(sdtsldt0(xn,xr)=xn)&sdtlseqdt0(sdtsldt0(xn,xr),xn)),file('/tmp/SRASS.s.p', m__)).
% fof(54, negated_conjecture,~((~(sdtsldt0(xn,xr)=xn)&sdtlseqdt0(sdtsldt0(xn,xr),xn))),inference(assume_negation,[status(cth)],[53])).
% fof(55, plain,~(sdtlseqdt0(xp,xn)),inference(fof_simplification,[status(thm)],[39,theory(equality)])).
% cnf(59,plain,(aNaturalNumber0(sz00)),inference(split_conjunct,[status(thm)],[1])).
% cnf(60,plain,(sz10!=sz00),inference(split_conjunct,[status(thm)],[2])).
% cnf(61,plain,(aNaturalNumber0(sz10)),inference(split_conjunct,[status(thm)],[2])).
% fof(65, plain,![X1]:![X2]:((~(aNaturalNumber0(X1))|~(aNaturalNumber0(X2)))|aNaturalNumber0(sdtasdt0(X1,X2))),inference(fof_nnf,[status(thm)],[4])).
% fof(66, plain,![X3]:![X4]:((~(aNaturalNumber0(X3))|~(aNaturalNumber0(X4)))|aNaturalNumber0(sdtasdt0(X3,X4))),inference(variable_rename,[status(thm)],[65])).
% cnf(67,plain,(aNaturalNumber0(sdtasdt0(X1,X2))|~aNaturalNumber0(X2)|~aNaturalNumber0(X1)),inference(split_conjunct,[status(thm)],[66])).
% fof(68, plain,![X1]:![X2]:((~(aNaturalNumber0(X1))|~(aNaturalNumber0(X2)))|sdtpldt0(X1,X2)=sdtpldt0(X2,X1)),inference(fof_nnf,[status(thm)],[5])).
% fof(69, plain,![X3]:![X4]:((~(aNaturalNumber0(X3))|~(aNaturalNumber0(X4)))|sdtpldt0(X3,X4)=sdtpldt0(X4,X3)),inference(variable_rename,[status(thm)],[68])).
% cnf(70,plain,(sdtpldt0(X1,X2)=sdtpldt0(X2,X1)|~aNaturalNumber0(X2)|~aNaturalNumber0(X1)),inference(split_conjunct,[status(thm)],[69])).
% fof(74, plain,![X1]:(~(aNaturalNumber0(X1))|(sdtpldt0(X1,sz00)=X1&X1=sdtpldt0(sz00,X1))),inference(fof_nnf,[status(thm)],[7])).
% fof(75, plain,![X2]:(~(aNaturalNumber0(X2))|(sdtpldt0(X2,sz00)=X2&X2=sdtpldt0(sz00,X2))),inference(variable_rename,[status(thm)],[74])).
% fof(76, plain,![X2]:((sdtpldt0(X2,sz00)=X2|~(aNaturalNumber0(X2)))&(X2=sdtpldt0(sz00,X2)|~(aNaturalNumber0(X2)))),inference(distribute,[status(thm)],[75])).
% cnf(77,plain,(X1=sdtpldt0(sz00,X1)|~aNaturalNumber0(X1)),inference(split_conjunct,[status(thm)],[76])).
% cnf(78,plain,(sdtpldt0(X1,sz00)=X1|~aNaturalNumber0(X1)),inference(split_conjunct,[status(thm)],[76])).
% fof(79, plain,![X1]:![X2]:((~(aNaturalNumber0(X1))|~(aNaturalNumber0(X2)))|sdtasdt0(X1,X2)=sdtasdt0(X2,X1)),inference(fof_nnf,[status(thm)],[8])).
% fof(80, plain,![X3]:![X4]:((~(aNaturalNumber0(X3))|~(aNaturalNumber0(X4)))|sdtasdt0(X3,X4)=sdtasdt0(X4,X3)),inference(variable_rename,[status(thm)],[79])).
% cnf(81,plain,(sdtasdt0(X1,X2)=sdtasdt0(X2,X1)|~aNaturalNumber0(X2)|~aNaturalNumber0(X1)),inference(split_conjunct,[status(thm)],[80])).
% fof(85, plain,![X1]:(~(aNaturalNumber0(X1))|(sdtasdt0(X1,sz10)=X1&X1=sdtasdt0(sz10,X1))),inference(fof_nnf,[status(thm)],[10])).
% fof(86, plain,![X2]:(~(aNaturalNumber0(X2))|(sdtasdt0(X2,sz10)=X2&X2=sdtasdt0(sz10,X2))),inference(variable_rename,[status(thm)],[85])).
% fof(87, plain,![X2]:((sdtasdt0(X2,sz10)=X2|~(aNaturalNumber0(X2)))&(X2=sdtasdt0(sz10,X2)|~(aNaturalNumber0(X2)))),inference(distribute,[status(thm)],[86])).
% cnf(88,plain,(X1=sdtasdt0(sz10,X1)|~aNaturalNumber0(X1)),inference(split_conjunct,[status(thm)],[87])).
% cnf(89,plain,(sdtasdt0(X1,sz10)=X1|~aNaturalNumber0(X1)),inference(split_conjunct,[status(thm)],[87])).
% fof(90, plain,![X1]:(~(aNaturalNumber0(X1))|(sdtasdt0(X1,sz00)=sz00&sz00=sdtasdt0(sz00,X1))),inference(fof_nnf,[status(thm)],[11])).
% fof(91, plain,![X2]:(~(aNaturalNumber0(X2))|(sdtasdt0(X2,sz00)=sz00&sz00=sdtasdt0(sz00,X2))),inference(variable_rename,[status(thm)],[90])).
% fof(92, plain,![X2]:((sdtasdt0(X2,sz00)=sz00|~(aNaturalNumber0(X2)))&(sz00=sdtasdt0(sz00,X2)|~(aNaturalNumber0(X2)))),inference(distribute,[status(thm)],[91])).
% cnf(93,plain,(sz00=sdtasdt0(sz00,X1)|~aNaturalNumber0(X1)),inference(split_conjunct,[status(thm)],[92])).
% fof(100, 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)],[13])).
% fof(101, 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)],[100])).
% fof(102, 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)],[101])).
% cnf(104,plain,(X2=X1|~aNaturalNumber0(X1)|~aNaturalNumber0(X2)|~aNaturalNumber0(X3)|sdtpldt0(X3,X2)!=sdtpldt0(X3,X1)),inference(split_conjunct,[status(thm)],[102])).
% fof(105, plain,![X1]:(~(aNaturalNumber0(X1))|(X1=sz00|![X2]:![X3]:((~(aNaturalNumber0(X2))|~(aNaturalNumber0(X3)))|((~(sdtasdt0(X1,X2)=sdtasdt0(X1,X3))&~(sdtasdt0(X2,X1)=sdtasdt0(X3,X1)))|X2=X3)))),inference(fof_nnf,[status(thm)],[14])).
% fof(106, 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)],[105])).
% fof(107, 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)],[106])).
% fof(108, 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)],[107])).
% cnf(109,plain,(X1=sz00|X3=X2|~aNaturalNumber0(X1)|~aNaturalNumber0(X2)|~aNaturalNumber0(X3)|sdtasdt0(X3,X1)!=sdtasdt0(X2,X1)),inference(split_conjunct,[status(thm)],[108])).
% fof(119, plain,![X1]:![X2]:((~(aNaturalNumber0(X1))|~(aNaturalNumber0(X2)))|((~(sdtlseqdt0(X1,X2))|?[X3]:(aNaturalNumber0(X3)&sdtpldt0(X1,X3)=X2))&(![X3]:(~(aNaturalNumber0(X3))|~(sdtpldt0(X1,X3)=X2))|sdtlseqdt0(X1,X2)))),inference(fof_nnf,[status(thm)],[17])).
% fof(120, 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)],[119])).
% fof(121, plain,![X4]:![X5]:((~(aNaturalNumber0(X4))|~(aNaturalNumber0(X5)))|((~(sdtlseqdt0(X4,X5))|(aNaturalNumber0(esk1_2(X4,X5))&sdtpldt0(X4,esk1_2(X4,X5))=X5))&(![X7]:(~(aNaturalNumber0(X7))|~(sdtpldt0(X4,X7)=X5))|sdtlseqdt0(X4,X5)))),inference(skolemize,[status(esa)],[120])).
% fof(122, plain,![X4]:![X5]:![X7]:((((~(aNaturalNumber0(X7))|~(sdtpldt0(X4,X7)=X5))|sdtlseqdt0(X4,X5))&(~(sdtlseqdt0(X4,X5))|(aNaturalNumber0(esk1_2(X4,X5))&sdtpldt0(X4,esk1_2(X4,X5))=X5)))|(~(aNaturalNumber0(X4))|~(aNaturalNumber0(X5)))),inference(shift_quantors,[status(thm)],[121])).
% fof(123, plain,![X4]:![X5]:![X7]:((((~(aNaturalNumber0(X7))|~(sdtpldt0(X4,X7)=X5))|sdtlseqdt0(X4,X5))|(~(aNaturalNumber0(X4))|~(aNaturalNumber0(X5))))&(((aNaturalNumber0(esk1_2(X4,X5))|~(sdtlseqdt0(X4,X5)))|(~(aNaturalNumber0(X4))|~(aNaturalNumber0(X5))))&((sdtpldt0(X4,esk1_2(X4,X5))=X5|~(sdtlseqdt0(X4,X5)))|(~(aNaturalNumber0(X4))|~(aNaturalNumber0(X5)))))),inference(distribute,[status(thm)],[122])).
% cnf(124,plain,(sdtpldt0(X2,esk1_2(X2,X1))=X1|~aNaturalNumber0(X1)|~aNaturalNumber0(X2)|~sdtlseqdt0(X2,X1)),inference(split_conjunct,[status(thm)],[123])).
% cnf(125,plain,(aNaturalNumber0(esk1_2(X2,X1))|~aNaturalNumber0(X1)|~aNaturalNumber0(X2)|~sdtlseqdt0(X2,X1)),inference(split_conjunct,[status(thm)],[123])).
% cnf(126,plain,(sdtlseqdt0(X2,X1)|~aNaturalNumber0(X1)|~aNaturalNumber0(X2)|sdtpldt0(X2,X3)!=X1|~aNaturalNumber0(X3)),inference(split_conjunct,[status(thm)],[123])).
% fof(133, plain,![X1]:![X2]:![X3]:(((~(aNaturalNumber0(X1))|~(aNaturalNumber0(X2)))|~(aNaturalNumber0(X3)))|((~(sdtlseqdt0(X1,X2))|~(sdtlseqdt0(X2,X3)))|sdtlseqdt0(X1,X3))),inference(fof_nnf,[status(thm)],[20])).
% fof(134, plain,![X4]:![X5]:![X6]:(((~(aNaturalNumber0(X4))|~(aNaturalNumber0(X5)))|~(aNaturalNumber0(X6)))|((~(sdtlseqdt0(X4,X5))|~(sdtlseqdt0(X5,X6)))|sdtlseqdt0(X4,X6))),inference(variable_rename,[status(thm)],[133])).
% cnf(135,plain,(sdtlseqdt0(X1,X2)|~sdtlseqdt0(X3,X2)|~sdtlseqdt0(X1,X3)|~aNaturalNumber0(X2)|~aNaturalNumber0(X3)|~aNaturalNumber0(X1)),inference(split_conjunct,[status(thm)],[134])).
% fof(161, plain,![X1]:![X2]:((~(aNaturalNumber0(X1))|~(aNaturalNumber0(X2)))|(X1=sz00|sdtlseqdt0(X2,sdtasdt0(X2,X1)))),inference(fof_nnf,[status(thm)],[25])).
% fof(162, plain,![X3]:![X4]:((~(aNaturalNumber0(X3))|~(aNaturalNumber0(X4)))|(X3=sz00|sdtlseqdt0(X4,sdtasdt0(X4,X3)))),inference(variable_rename,[status(thm)],[161])).
% cnf(163,plain,(sdtlseqdt0(X1,sdtasdt0(X1,X2))|X2=sz00|~aNaturalNumber0(X1)|~aNaturalNumber0(X2)),inference(split_conjunct,[status(thm)],[162])).
% fof(167, plain,![X1]:![X2]:((~(aNaturalNumber0(X1))|~(aNaturalNumber0(X2)))|((~(doDivides0(X1,X2))|?[X3]:(aNaturalNumber0(X3)&X2=sdtasdt0(X1,X3)))&(![X3]:(~(aNaturalNumber0(X3))|~(X2=sdtasdt0(X1,X3)))|doDivides0(X1,X2)))),inference(fof_nnf,[status(thm)],[27])).
% fof(168, 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)],[167])).
% fof(169, plain,![X4]:![X5]:((~(aNaturalNumber0(X4))|~(aNaturalNumber0(X5)))|((~(doDivides0(X4,X5))|(aNaturalNumber0(esk2_2(X4,X5))&X5=sdtasdt0(X4,esk2_2(X4,X5))))&(![X7]:(~(aNaturalNumber0(X7))|~(X5=sdtasdt0(X4,X7)))|doDivides0(X4,X5)))),inference(skolemize,[status(esa)],[168])).
% fof(170, plain,![X4]:![X5]:![X7]:((((~(aNaturalNumber0(X7))|~(X5=sdtasdt0(X4,X7)))|doDivides0(X4,X5))&(~(doDivides0(X4,X5))|(aNaturalNumber0(esk2_2(X4,X5))&X5=sdtasdt0(X4,esk2_2(X4,X5)))))|(~(aNaturalNumber0(X4))|~(aNaturalNumber0(X5)))),inference(shift_quantors,[status(thm)],[169])).
% fof(171, plain,![X4]:![X5]:![X7]:((((~(aNaturalNumber0(X7))|~(X5=sdtasdt0(X4,X7)))|doDivides0(X4,X5))|(~(aNaturalNumber0(X4))|~(aNaturalNumber0(X5))))&(((aNaturalNumber0(esk2_2(X4,X5))|~(doDivides0(X4,X5)))|(~(aNaturalNumber0(X4))|~(aNaturalNumber0(X5))))&((X5=sdtasdt0(X4,esk2_2(X4,X5))|~(doDivides0(X4,X5)))|(~(aNaturalNumber0(X4))|~(aNaturalNumber0(X5)))))),inference(distribute,[status(thm)],[170])).
% cnf(172,plain,(X1=sdtasdt0(X2,esk2_2(X2,X1))|~aNaturalNumber0(X1)|~aNaturalNumber0(X2)|~doDivides0(X2,X1)),inference(split_conjunct,[status(thm)],[171])).
% cnf(173,plain,(aNaturalNumber0(esk2_2(X2,X1))|~aNaturalNumber0(X1)|~aNaturalNumber0(X2)|~doDivides0(X2,X1)),inference(split_conjunct,[status(thm)],[171])).
% cnf(174,plain,(doDivides0(X2,X1)|~aNaturalNumber0(X1)|~aNaturalNumber0(X2)|X1!=sdtasdt0(X2,X3)|~aNaturalNumber0(X3)),inference(split_conjunct,[status(thm)],[171])).
% fof(175, plain,![X1]:![X2]:((~(aNaturalNumber0(X1))|~(aNaturalNumber0(X2)))|((X1=sz00|~(doDivides0(X1,X2)))|![X3]:((~(X3=sdtsldt0(X2,X1))|(aNaturalNumber0(X3)&X2=sdtasdt0(X1,X3)))&((~(aNaturalNumber0(X3))|~(X2=sdtasdt0(X1,X3)))|X3=sdtsldt0(X2,X1))))),inference(fof_nnf,[status(thm)],[28])).
% fof(176, 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)],[175])).
% fof(177, 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)],[176])).
% fof(178, 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)],[177])).
% cnf(179,plain,(X2=sz00|X3=sdtsldt0(X1,X2)|~aNaturalNumber0(X1)|~aNaturalNumber0(X2)|~doDivides0(X2,X1)|X1!=sdtasdt0(X2,X3)|~aNaturalNumber0(X3)),inference(split_conjunct,[status(thm)],[178])).
% cnf(180,plain,(X2=sz00|X1=sdtasdt0(X2,X3)|~aNaturalNumber0(X1)|~aNaturalNumber0(X2)|~doDivides0(X2,X1)|X3!=sdtsldt0(X1,X2)),inference(split_conjunct,[status(thm)],[178])).
% cnf(181,plain,(X2=sz00|aNaturalNumber0(X3)|~aNaturalNumber0(X1)|~aNaturalNumber0(X2)|~doDivides0(X2,X1)|X3!=sdtsldt0(X1,X2)),inference(split_conjunct,[status(thm)],[178])).
% fof(182, plain,![X1]:![X2]:![X3]:(((~(aNaturalNumber0(X1))|~(aNaturalNumber0(X2)))|~(aNaturalNumber0(X3)))|((~(doDivides0(X1,X2))|~(doDivides0(X2,X3)))|doDivides0(X1,X3))),inference(fof_nnf,[status(thm)],[29])).
% fof(183, plain,![X4]:![X5]:![X6]:(((~(aNaturalNumber0(X4))|~(aNaturalNumber0(X5)))|~(aNaturalNumber0(X6)))|((~(doDivides0(X4,X5))|~(doDivides0(X5,X6)))|doDivides0(X4,X6))),inference(variable_rename,[status(thm)],[182])).
% cnf(184,plain,(doDivides0(X1,X2)|~doDivides0(X3,X2)|~doDivides0(X1,X3)|~aNaturalNumber0(X2)|~aNaturalNumber0(X3)|~aNaturalNumber0(X1)),inference(split_conjunct,[status(thm)],[183])).
% fof(188, plain,![X1]:![X2]:![X3]:(((~(aNaturalNumber0(X1))|~(aNaturalNumber0(X2)))|~(aNaturalNumber0(X3)))|((~(doDivides0(X1,X2))|~(doDivides0(X1,sdtpldt0(X2,X3))))|doDivides0(X1,X3))),inference(fof_nnf,[status(thm)],[31])).
% fof(189, plain,![X4]:![X5]:![X6]:(((~(aNaturalNumber0(X4))|~(aNaturalNumber0(X5)))|~(aNaturalNumber0(X6)))|((~(doDivides0(X4,X5))|~(doDivides0(X4,sdtpldt0(X5,X6))))|doDivides0(X4,X6))),inference(variable_rename,[status(thm)],[188])).
% cnf(190,plain,(doDivides0(X1,X2)|~doDivides0(X1,sdtpldt0(X3,X2))|~doDivides0(X1,X3)|~aNaturalNumber0(X2)|~aNaturalNumber0(X3)|~aNaturalNumber0(X1)),inference(split_conjunct,[status(thm)],[189])).
% fof(194, plain,![X1]:![X2]:((~(aNaturalNumber0(X1))|~(aNaturalNumber0(X2)))|((X1=sz00|~(doDivides0(X1,X2)))|![X3]:(~(aNaturalNumber0(X3))|sdtasdt0(X3,sdtsldt0(X2,X1))=sdtsldt0(sdtasdt0(X3,X2),X1)))),inference(fof_nnf,[status(thm)],[33])).
% fof(195, plain,![X4]:![X5]:((~(aNaturalNumber0(X4))|~(aNaturalNumber0(X5)))|((X4=sz00|~(doDivides0(X4,X5)))|![X6]:(~(aNaturalNumber0(X6))|sdtasdt0(X6,sdtsldt0(X5,X4))=sdtsldt0(sdtasdt0(X6,X5),X4)))),inference(variable_rename,[status(thm)],[194])).
% fof(196, plain,![X4]:![X5]:![X6]:(((~(aNaturalNumber0(X6))|sdtasdt0(X6,sdtsldt0(X5,X4))=sdtsldt0(sdtasdt0(X6,X5),X4))|(X4=sz00|~(doDivides0(X4,X5))))|(~(aNaturalNumber0(X4))|~(aNaturalNumber0(X5)))),inference(shift_quantors,[status(thm)],[195])).
% cnf(197,plain,(X2=sz00|sdtasdt0(X3,sdtsldt0(X1,X2))=sdtsldt0(sdtasdt0(X3,X1),X2)|~aNaturalNumber0(X1)|~aNaturalNumber0(X2)|~doDivides0(X2,X1)|~aNaturalNumber0(X3)),inference(split_conjunct,[status(thm)],[196])).
% fof(198, plain,![X1]:(~(aNaturalNumber0(X1))|((~(isPrime0(X1))|((~(X1=sz00)&~(X1=sz10))&![X2]:((~(aNaturalNumber0(X2))|~(doDivides0(X2,X1)))|(X2=sz10|X2=X1))))&(((X1=sz00|X1=sz10)|?[X2]:((aNaturalNumber0(X2)&doDivides0(X2,X1))&(~(X2=sz10)&~(X2=X1))))|isPrime0(X1)))),inference(fof_nnf,[status(thm)],[34])).
% fof(199, 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)],[198])).
% fof(200, plain,![X3]:(~(aNaturalNumber0(X3))|((~(isPrime0(X3))|((~(X3=sz00)&~(X3=sz10))&![X4]:((~(aNaturalNumber0(X4))|~(doDivides0(X4,X3)))|(X4=sz10|X4=X3))))&(((X3=sz00|X3=sz10)|((aNaturalNumber0(esk3_1(X3))&doDivides0(esk3_1(X3),X3))&(~(esk3_1(X3)=sz10)&~(esk3_1(X3)=X3))))|isPrime0(X3)))),inference(skolemize,[status(esa)],[199])).
% fof(201, plain,![X3]:![X4]:((((((~(aNaturalNumber0(X4))|~(doDivides0(X4,X3)))|(X4=sz10|X4=X3))&(~(X3=sz00)&~(X3=sz10)))|~(isPrime0(X3)))&(((X3=sz00|X3=sz10)|((aNaturalNumber0(esk3_1(X3))&doDivides0(esk3_1(X3),X3))&(~(esk3_1(X3)=sz10)&~(esk3_1(X3)=X3))))|isPrime0(X3)))|~(aNaturalNumber0(X3))),inference(shift_quantors,[status(thm)],[200])).
% fof(202, plain,![X3]:![X4]:((((((~(aNaturalNumber0(X4))|~(doDivides0(X4,X3)))|(X4=sz10|X4=X3))|~(isPrime0(X3)))|~(aNaturalNumber0(X3)))&(((~(X3=sz00)|~(isPrime0(X3)))|~(aNaturalNumber0(X3)))&((~(X3=sz10)|~(isPrime0(X3)))|~(aNaturalNumber0(X3)))))&(((((aNaturalNumber0(esk3_1(X3))|(X3=sz00|X3=sz10))|isPrime0(X3))|~(aNaturalNumber0(X3)))&(((doDivides0(esk3_1(X3),X3)|(X3=sz00|X3=sz10))|isPrime0(X3))|~(aNaturalNumber0(X3))))&((((~(esk3_1(X3)=sz10)|(X3=sz00|X3=sz10))|isPrime0(X3))|~(aNaturalNumber0(X3)))&(((~(esk3_1(X3)=X3)|(X3=sz00|X3=sz10))|isPrime0(X3))|~(aNaturalNumber0(X3)))))),inference(distribute,[status(thm)],[201])).
% cnf(207,plain,(~aNaturalNumber0(X1)|~isPrime0(X1)|X1!=sz10),inference(split_conjunct,[status(thm)],[202])).
% cnf(208,plain,(~aNaturalNumber0(X1)|~isPrime0(X1)|X1!=sz00),inference(split_conjunct,[status(thm)],[202])).
% cnf(217,plain,(aNaturalNumber0(xp)),inference(split_conjunct,[status(thm)],[36])).
% cnf(218,plain,(aNaturalNumber0(xm)),inference(split_conjunct,[status(thm)],[36])).
% cnf(219,plain,(aNaturalNumber0(xn)),inference(split_conjunct,[status(thm)],[36])).
% cnf(225,plain,(~sdtlseqdt0(xp,xn)),inference(split_conjunct,[status(thm)],[55])).
% cnf(229,plain,(sdtlseqdt0(xn,xp)),inference(split_conjunct,[status(thm)],[41])).
% cnf(230,plain,(xn!=xp),inference(split_conjunct,[status(thm)],[41])).
% cnf(231,plain,(xk=sdtsldt0(sdtasdt0(xn,xm),xp)),inference(split_conjunct,[status(thm)],[42])).
% fof(232, plain,(~(xk=sz00)&~(xk=sz10)),inference(fof_nnf,[status(thm)],[43])).
% cnf(234,plain,(xk!=sz00),inference(split_conjunct,[status(thm)],[232])).
% cnf(237,plain,(isPrime0(xr)),inference(split_conjunct,[status(thm)],[45])).
% cnf(239,plain,(aNaturalNumber0(xr)),inference(split_conjunct,[status(thm)],[45])).
% cnf(245,plain,(doDivides0(xr,xn)),inference(split_conjunct,[status(thm)],[49])).
% fof(246, 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)],[50])).
% fof(247, 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)],[246])).
% fof(248, 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)],[247])).
% fof(249, 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)],[248])).
% cnf(250,plain,(X3=sdtmndt0(X1,X2)|~aNaturalNumber0(X1)|~aNaturalNumber0(X2)|~sdtlseqdt0(X2,X1)|sdtpldt0(X2,X3)!=X1|~aNaturalNumber0(X3)),inference(split_conjunct,[status(thm)],[249])).
% fof(257, negated_conjecture,(sdtsldt0(xn,xr)=xn|~(sdtlseqdt0(sdtsldt0(xn,xr),xn))),inference(fof_nnf,[status(thm)],[54])).
% cnf(258,negated_conjecture,(sdtsldt0(xn,xr)=xn|~sdtlseqdt0(sdtsldt0(xn,xr),xn)),inference(split_conjunct,[status(thm)],[257])).
% cnf(261,plain,(sdtmndt0(X1,X2)=X3|sdtpldt0(X2,X3)!=X1|~aNaturalNumber0(X3)|~aNaturalNumber0(X2)|~aNaturalNumber0(X1)),inference(csr,[status(thm)],[250,126])).
% cnf(264,plain,(sdtsldt0(X1,X2)=X3|sz00=X2|sdtasdt0(X2,X3)!=X1|~aNaturalNumber0(X3)|~aNaturalNumber0(X2)|~aNaturalNumber0(X1)),inference(csr,[status(thm)],[179,174])).
% cnf(267,plain,(~isPrime0(sz00)|~aNaturalNumber0(sz00)),inference(er,[status(thm)],[208,theory(equality)])).
% cnf(268,plain,(~isPrime0(sz00)|$false),inference(rw,[status(thm)],[267,59,theory(equality)])).
% cnf(269,plain,(~isPrime0(sz00)),inference(cn,[status(thm)],[268,theory(equality)])).
% cnf(270,plain,(~isPrime0(sz10)|~aNaturalNumber0(sz10)),inference(er,[status(thm)],[207,theory(equality)])).
% cnf(271,plain,(~isPrime0(sz10)|$false),inference(rw,[status(thm)],[270,61,theory(equality)])).
% cnf(272,plain,(~isPrime0(sz10)),inference(cn,[status(thm)],[271,theory(equality)])).
% cnf(410,plain,(sz00=X1|sdtlseqdt0(X2,sdtasdt0(X1,X2))|~aNaturalNumber0(X1)|~aNaturalNumber0(X2)),inference(spm,[status(thm)],[163,81,theory(equality)])).
% cnf(466,plain,(sdtlseqdt0(X1,xp)|~sdtlseqdt0(X1,xn)|~aNaturalNumber0(xn)|~aNaturalNumber0(xp)|~aNaturalNumber0(X1)),inference(spm,[status(thm)],[135,229,theory(equality)])).
% cnf(479,plain,(sdtlseqdt0(X1,xp)|~sdtlseqdt0(X1,xn)|$false|~aNaturalNumber0(xp)|~aNaturalNumber0(X1)),inference(rw,[status(thm)],[466,219,theory(equality)])).
% cnf(480,plain,(sdtlseqdt0(X1,xp)|~sdtlseqdt0(X1,xn)|$false|$false|~aNaturalNumber0(X1)),inference(rw,[status(thm)],[479,217,theory(equality)])).
% cnf(481,plain,(sdtlseqdt0(X1,xp)|~sdtlseqdt0(X1,xn)|~aNaturalNumber0(X1)),inference(cn,[status(thm)],[480,theory(equality)])).
% cnf(520,plain,(sdtlseqdt0(sz00,X1)|X2!=X1|~aNaturalNumber0(X2)|~aNaturalNumber0(sz00)|~aNaturalNumber0(X1)),inference(spm,[status(thm)],[126,77,theory(equality)])).
% cnf(522,plain,(sdtlseqdt0(X1,X2)|sdtpldt0(X3,X1)!=X2|~aNaturalNumber0(X3)|~aNaturalNumber0(X1)|~aNaturalNumber0(X2)),inference(spm,[status(thm)],[126,70,theory(equality)])).
% cnf(524,plain,(sdtlseqdt0(sz00,X1)|X2!=X1|~aNaturalNumber0(X2)|$false|~aNaturalNumber0(X1)),inference(rw,[status(thm)],[520,59,theory(equality)])).
% cnf(525,plain,(sdtlseqdt0(sz00,X1)|X2!=X1|~aNaturalNumber0(X2)|~aNaturalNumber0(X1)),inference(cn,[status(thm)],[524,theory(equality)])).
% cnf(526,plain,(sdtlseqdt0(sz00,X1)|~aNaturalNumber0(X1)),inference(er,[status(thm)],[525,theory(equality)])).
% cnf(547,plain,(X1=sz00|sdtpldt0(X2,X1)!=X2|~aNaturalNumber0(X2)|~aNaturalNumber0(sz00)|~aNaturalNumber0(X1)),inference(spm,[status(thm)],[104,78,theory(equality)])).
% cnf(556,plain,(X1=sz00|sdtpldt0(X2,X1)!=X2|~aNaturalNumber0(X2)|$false|~aNaturalNumber0(X1)),inference(rw,[status(thm)],[547,59,theory(equality)])).
% cnf(557,plain,(X1=sz00|sdtpldt0(X2,X1)!=X2|~aNaturalNumber0(X2)|~aNaturalNumber0(X1)),inference(cn,[status(thm)],[556,theory(equality)])).
% cnf(580,plain,(sz00=X1|aNaturalNumber0(sdtsldt0(X2,X1))|~doDivides0(X1,X2)|~aNaturalNumber0(X1)|~aNaturalNumber0(X2)),inference(er,[status(thm)],[181,theory(equality)])).
% cnf(586,plain,(doDivides0(sz10,X1)|X2!=X1|~aNaturalNumber0(X2)|~aNaturalNumber0(sz10)|~aNaturalNumber0(X1)),inference(spm,[status(thm)],[174,88,theory(equality)])).
% cnf(588,plain,(doDivides0(X1,X2)|X1!=X2|~aNaturalNumber0(sz10)|~aNaturalNumber0(X1)|~aNaturalNumber0(X2)),inference(spm,[status(thm)],[174,89,theory(equality)])).
% cnf(592,plain,(doDivides0(sz10,X1)|X2!=X1|~aNaturalNumber0(X2)|$false|~aNaturalNumber0(X1)),inference(rw,[status(thm)],[586,61,theory(equality)])).
% cnf(593,plain,(doDivides0(sz10,X1)|X2!=X1|~aNaturalNumber0(X2)|~aNaturalNumber0(X1)),inference(cn,[status(thm)],[592,theory(equality)])).
% cnf(594,plain,(doDivides0(sz10,X1)|~aNaturalNumber0(X1)),inference(er,[status(thm)],[593,theory(equality)])).
% cnf(597,plain,(doDivides0(X1,X2)|X1!=X2|$false|~aNaturalNumber0(X1)|~aNaturalNumber0(X2)),inference(rw,[status(thm)],[588,61,theory(equality)])).
% cnf(598,plain,(doDivides0(X1,X2)|X1!=X2|~aNaturalNumber0(X1)|~aNaturalNumber0(X2)),inference(cn,[status(thm)],[597,theory(equality)])).
% cnf(599,plain,(doDivides0(X1,X1)|~aNaturalNumber0(X1)),inference(er,[status(thm)],[598,theory(equality)])).
% cnf(621,plain,(sz00=X1|X2=sz10|sdtasdt0(X2,X1)!=X1|~aNaturalNumber0(sz10)|~aNaturalNumber0(X2)|~aNaturalNumber0(X1)),inference(spm,[status(thm)],[109,88,theory(equality)])).
% cnf(631,plain,(sz00=X1|X2=sz10|sdtasdt0(X2,X1)!=X1|$false|~aNaturalNumber0(X2)|~aNaturalNumber0(X1)),inference(rw,[status(thm)],[621,61,theory(equality)])).
% cnf(632,plain,(sz00=X1|X2=sz10|sdtasdt0(X2,X1)!=X1|~aNaturalNumber0(X2)|~aNaturalNumber0(X1)),inference(cn,[status(thm)],[631,theory(equality)])).
% cnf(670,plain,(sdtasdt0(X1,sdtsldt0(X2,X1))=X2|sz00=X1|~doDivides0(X1,X2)|~aNaturalNumber0(X1)|~aNaturalNumber0(X2)),inference(er,[status(thm)],[180,theory(equality)])).
% cnf(675,plain,(sdtsldt0(sdtasdt0(X1,X2),X1)=X2|sz00=X1|~aNaturalNumber0(X2)|~aNaturalNumber0(X1)|~aNaturalNumber0(sdtasdt0(X1,X2))),inference(er,[status(thm)],[264,theory(equality)])).
% cnf(676,plain,(sdtsldt0(X1,sz10)=X2|sz00=sz10|X2!=X1|~aNaturalNumber0(X2)|~aNaturalNumber0(sz10)|~aNaturalNumber0(X1)),inference(spm,[status(thm)],[264,88,theory(equality)])).
% cnf(681,plain,(sdtsldt0(X1,sz10)=X2|sz00=sz10|X2!=X1|~aNaturalNumber0(X2)|$false|~aNaturalNumber0(X1)),inference(rw,[status(thm)],[676,61,theory(equality)])).
% cnf(682,plain,(sdtsldt0(X1,sz10)=X2|sz00=sz10|X2!=X1|~aNaturalNumber0(X2)|~aNaturalNumber0(X1)),inference(cn,[status(thm)],[681,theory(equality)])).
% cnf(683,plain,(sdtsldt0(X1,sz10)=X2|X2!=X1|~aNaturalNumber0(X2)|~aNaturalNumber0(X1)),inference(sr,[status(thm)],[682,60,theory(equality)])).
% cnf(684,plain,(sdtsldt0(X1,sz10)=X1|~aNaturalNumber0(X1)),inference(er,[status(thm)],[683,theory(equality)])).
% cnf(692,plain,(sdtmndt0(X1,X2)=sz00|X2!=X1|~aNaturalNumber0(sz00)|~aNaturalNumber0(X2)|~aNaturalNumber0(X1)),inference(spm,[status(thm)],[261,78,theory(equality)])).
% cnf(698,plain,(sdtmndt0(X1,X2)=sz00|X2!=X1|$false|~aNaturalNumber0(X2)|~aNaturalNumber0(X1)),inference(rw,[status(thm)],[692,59,theory(equality)])).
% cnf(699,plain,(sdtmndt0(X1,X2)=sz00|X2!=X1|~aNaturalNumber0(X2)|~aNaturalNumber0(X1)),inference(cn,[status(thm)],[698,theory(equality)])).
% cnf(700,plain,(sdtmndt0(X1,X1)=sz00|~aNaturalNumber0(X1)),inference(er,[status(thm)],[699,theory(equality)])).
% cnf(727,plain,(doDivides0(X1,xn)|~doDivides0(X1,xr)|~aNaturalNumber0(xr)|~aNaturalNumber0(xn)|~aNaturalNumber0(X1)),inference(spm,[status(thm)],[184,245,theory(equality)])).
% cnf(732,plain,(doDivides0(X1,xn)|~doDivides0(X1,xr)|$false|~aNaturalNumber0(xn)|~aNaturalNumber0(X1)),inference(rw,[status(thm)],[727,239,theory(equality)])).
% cnf(733,plain,(doDivides0(X1,xn)|~doDivides0(X1,xr)|$false|$false|~aNaturalNumber0(X1)),inference(rw,[status(thm)],[732,219,theory(equality)])).
% cnf(734,plain,(doDivides0(X1,xn)|~doDivides0(X1,xr)|~aNaturalNumber0(X1)),inference(cn,[status(thm)],[733,theory(equality)])).
% cnf(1667,plain,(sdtlseqdt0(sz00,xp)|~aNaturalNumber0(sz00)|~aNaturalNumber0(xn)),inference(spm,[status(thm)],[481,526,theory(equality)])).
% cnf(1678,plain,(sdtlseqdt0(sz00,xp)|$false|~aNaturalNumber0(xn)),inference(rw,[status(thm)],[1667,59,theory(equality)])).
% cnf(1679,plain,(sdtlseqdt0(sz00,xp)|$false|$false),inference(rw,[status(thm)],[1678,219,theory(equality)])).
% cnf(1680,plain,(sdtlseqdt0(sz00,xp)),inference(cn,[status(thm)],[1679,theory(equality)])).
% cnf(1692,plain,(aNaturalNumber0(esk1_2(sz00,xp))|~aNaturalNumber0(sz00)|~aNaturalNumber0(xp)),inference(spm,[status(thm)],[125,1680,theory(equality)])).
% cnf(1693,plain,(sdtpldt0(sz00,esk1_2(sz00,xp))=xp|~aNaturalNumber0(sz00)|~aNaturalNumber0(xp)),inference(spm,[status(thm)],[124,1680,theory(equality)])).
% cnf(1709,plain,(aNaturalNumber0(esk1_2(sz00,xp))|$false|~aNaturalNumber0(xp)),inference(rw,[status(thm)],[1692,59,theory(equality)])).
% cnf(1710,plain,(aNaturalNumber0(esk1_2(sz00,xp))|$false|$false),inference(rw,[status(thm)],[1709,217,theory(equality)])).
% cnf(1711,plain,(aNaturalNumber0(esk1_2(sz00,xp))),inference(cn,[status(thm)],[1710,theory(equality)])).
% cnf(1712,plain,(sdtpldt0(sz00,esk1_2(sz00,xp))=xp|$false|~aNaturalNumber0(xp)),inference(rw,[status(thm)],[1693,59,theory(equality)])).
% cnf(1713,plain,(sdtpldt0(sz00,esk1_2(sz00,xp))=xp|$false|$false),inference(rw,[status(thm)],[1712,217,theory(equality)])).
% cnf(1714,plain,(sdtpldt0(sz00,esk1_2(sz00,xp))=xp),inference(cn,[status(thm)],[1713,theory(equality)])).
% cnf(2185,plain,(xp=esk1_2(sz00,xp)|~aNaturalNumber0(esk1_2(sz00,xp))),inference(spm,[status(thm)],[77,1714,theory(equality)])).
% cnf(2217,plain,(xp=esk1_2(sz00,xp)|$false),inference(rw,[status(thm)],[2185,1711,theory(equality)])).
% cnf(2218,plain,(xp=esk1_2(sz00,xp)),inference(cn,[status(thm)],[2217,theory(equality)])).
% cnf(2220,plain,(sdtpldt0(sz00,xp)=xp),inference(rw,[status(thm)],[1714,2218,theory(equality)])).
% cnf(3874,plain,(doDivides0(sz10,xn)|~aNaturalNumber0(sz10)|~aNaturalNumber0(xr)),inference(spm,[status(thm)],[734,594,theory(equality)])).
% cnf(3881,plain,(doDivides0(sz10,xn)|$false|~aNaturalNumber0(xr)),inference(rw,[status(thm)],[3874,61,theory(equality)])).
% cnf(3882,plain,(doDivides0(sz10,xn)|$false|$false),inference(rw,[status(thm)],[3881,239,theory(equality)])).
% cnf(3883,plain,(doDivides0(sz10,xn)),inference(cn,[status(thm)],[3882,theory(equality)])).
% cnf(3922,plain,(sdtsldt0(sdtasdt0(X1,xn),sz10)=sdtasdt0(X1,sdtsldt0(xn,sz10))|sz00=sz10|~aNaturalNumber0(X1)|~aNaturalNumber0(sz10)|~aNaturalNumber0(xn)),inference(spm,[status(thm)],[197,3883,theory(equality)])).
% cnf(3936,plain,(sdtsldt0(sdtasdt0(X1,xn),sz10)=sdtasdt0(X1,sdtsldt0(xn,sz10))|sz00=sz10|~aNaturalNumber0(X1)|$false|~aNaturalNumber0(xn)),inference(rw,[status(thm)],[3922,61,theory(equality)])).
% cnf(3937,plain,(sdtsldt0(sdtasdt0(X1,xn),sz10)=sdtasdt0(X1,sdtsldt0(xn,sz10))|sz00=sz10|~aNaturalNumber0(X1)|$false|$false),inference(rw,[status(thm)],[3936,219,theory(equality)])).
% cnf(3938,plain,(sdtsldt0(sdtasdt0(X1,xn),sz10)=sdtasdt0(X1,sdtsldt0(xn,sz10))|sz00=sz10|~aNaturalNumber0(X1)),inference(cn,[status(thm)],[3937,theory(equality)])).
% cnf(3939,plain,(sdtsldt0(sdtasdt0(X1,xn),sz10)=sdtasdt0(X1,sdtsldt0(xn,sz10))|~aNaturalNumber0(X1)),inference(sr,[status(thm)],[3938,60,theory(equality)])).
% cnf(3987,plain,(sdtsldt0(xn,sz10)=sdtasdt0(sz10,sdtsldt0(xn,sz10))|~aNaturalNumber0(sz10)|~aNaturalNumber0(xn)),inference(spm,[status(thm)],[3939,88,theory(equality)])).
% cnf(3999,plain,(sdtsldt0(xn,sz10)=sdtasdt0(sz10,sdtsldt0(xn,sz10))|$false|~aNaturalNumber0(xn)),inference(rw,[status(thm)],[3987,61,theory(equality)])).
% cnf(4000,plain,(sdtsldt0(xn,sz10)=sdtasdt0(sz10,sdtsldt0(xn,sz10))|$false|$false),inference(rw,[status(thm)],[3999,219,theory(equality)])).
% cnf(4001,plain,(sdtsldt0(xn,sz10)=sdtasdt0(sz10,sdtsldt0(xn,sz10))),inference(cn,[status(thm)],[4000,theory(equality)])).
% cnf(4029,plain,(sdtasdt0(sz10,xn)=xn|~aNaturalNumber0(xn)),inference(spm,[status(thm)],[4001,684,theory(equality)])).
% cnf(4072,plain,(sdtasdt0(sz10,xn)=xn|$false),inference(rw,[status(thm)],[4029,219,theory(equality)])).
% cnf(4073,plain,(sdtasdt0(sz10,xn)=xn),inference(cn,[status(thm)],[4072,theory(equality)])).
% cnf(4085,plain,(sz00=sz10|sdtlseqdt0(xn,xn)|~aNaturalNumber0(sz10)|~aNaturalNumber0(xn)),inference(spm,[status(thm)],[410,4073,theory(equality)])).
% cnf(4086,plain,(sdtsldt0(X1,sz10)=xn|sz00=sz10|xn!=X1|~aNaturalNumber0(xn)|~aNaturalNumber0(sz10)|~aNaturalNumber0(X1)),inference(spm,[status(thm)],[264,4073,theory(equality)])).
% cnf(4133,plain,(sz00=sz10|sdtlseqdt0(xn,xn)|$false|~aNaturalNumber0(xn)),inference(rw,[status(thm)],[4085,61,theory(equality)])).
% cnf(4134,plain,(sz00=sz10|sdtlseqdt0(xn,xn)|$false|$false),inference(rw,[status(thm)],[4133,219,theory(equality)])).
% cnf(4135,plain,(sz00=sz10|sdtlseqdt0(xn,xn)),inference(cn,[status(thm)],[4134,theory(equality)])).
% cnf(4136,plain,(sdtlseqdt0(xn,xn)),inference(sr,[status(thm)],[4135,60,theory(equality)])).
% cnf(4137,plain,(sdtsldt0(X1,sz10)=xn|sz00=sz10|xn!=X1|$false|~aNaturalNumber0(sz10)|~aNaturalNumber0(X1)),inference(rw,[status(thm)],[4086,219,theory(equality)])).
% cnf(4138,plain,(sdtsldt0(X1,sz10)=xn|sz00=sz10|xn!=X1|$false|$false|~aNaturalNumber0(X1)),inference(rw,[status(thm)],[4137,61,theory(equality)])).
% cnf(4139,plain,(sdtsldt0(X1,sz10)=xn|sz00=sz10|xn!=X1|~aNaturalNumber0(X1)),inference(cn,[status(thm)],[4138,theory(equality)])).
% cnf(4140,plain,(sdtsldt0(X1,sz10)=xn|xn!=X1|~aNaturalNumber0(X1)),inference(sr,[status(thm)],[4139,60,theory(equality)])).
% cnf(4171,plain,(aNaturalNumber0(esk1_2(xn,xn))|~aNaturalNumber0(xn)),inference(spm,[status(thm)],[125,4136,theory(equality)])).
% cnf(4172,plain,(sdtpldt0(xn,esk1_2(xn,xn))=xn|~aNaturalNumber0(xn)),inference(spm,[status(thm)],[124,4136,theory(equality)])).
% cnf(4175,plain,(aNaturalNumber0(esk1_2(xn,xn))|$false),inference(rw,[status(thm)],[4171,219,theory(equality)])).
% cnf(4176,plain,(aNaturalNumber0(esk1_2(xn,xn))),inference(cn,[status(thm)],[4175,theory(equality)])).
% cnf(4177,plain,(sdtpldt0(xn,esk1_2(xn,xn))=xn|$false),inference(rw,[status(thm)],[4172,219,theory(equality)])).
% cnf(4178,plain,(sdtpldt0(xn,esk1_2(xn,xn))=xn),inference(cn,[status(thm)],[4177,theory(equality)])).
% cnf(4217,plain,(sdtmndt0(X1,xn)=esk1_2(xn,xn)|xn!=X1|~aNaturalNumber0(esk1_2(xn,xn))|~aNaturalNumber0(xn)|~aNaturalNumber0(X1)),inference(spm,[status(thm)],[261,4178,theory(equality)])).
% cnf(4241,plain,(sdtmndt0(X1,xn)=esk1_2(xn,xn)|xn!=X1|$false|~aNaturalNumber0(xn)|~aNaturalNumber0(X1)),inference(rw,[status(thm)],[4217,4176,theory(equality)])).
% cnf(4242,plain,(sdtmndt0(X1,xn)=esk1_2(xn,xn)|xn!=X1|$false|$false|~aNaturalNumber0(X1)),inference(rw,[status(thm)],[4241,219,theory(equality)])).
% cnf(4243,plain,(sdtmndt0(X1,xn)=esk1_2(xn,xn)|xn!=X1|~aNaturalNumber0(X1)),inference(cn,[status(thm)],[4242,theory(equality)])).
% cnf(4267,plain,(sdtsldt0(xn,sz10)=xn|~aNaturalNumber0(xn)),inference(er,[status(thm)],[4140,theory(equality)])).
% cnf(4268,plain,(sdtsldt0(xn,sz10)=xn|$false),inference(rw,[status(thm)],[4267,219,theory(equality)])).
% cnf(4269,plain,(sdtsldt0(xn,sz10)=xn),inference(cn,[status(thm)],[4268,theory(equality)])).
% cnf(4270,plain,(sz00=sz10|aNaturalNumber0(X1)|xn!=X1|~doDivides0(sz10,xn)|~aNaturalNumber0(sz10)|~aNaturalNumber0(xn)),inference(spm,[status(thm)],[181,4269,theory(equality)])).
% cnf(4275,plain,(sz00=sz10|aNaturalNumber0(X1)|xn!=X1|$false|~aNaturalNumber0(sz10)|~aNaturalNumber0(xn)),inference(rw,[status(thm)],[4270,3883,theory(equality)])).
% cnf(4276,plain,(sz00=sz10|aNaturalNumber0(X1)|xn!=X1|$false|$false|~aNaturalNumber0(xn)),inference(rw,[status(thm)],[4275,61,theory(equality)])).
% cnf(4277,plain,(sz00=sz10|aNaturalNumber0(X1)|xn!=X1|$false|$false|$false),inference(rw,[status(thm)],[4276,219,theory(equality)])).
% cnf(4278,plain,(sz00=sz10|aNaturalNumber0(X1)|xn!=X1),inference(cn,[status(thm)],[4277,theory(equality)])).
% cnf(4279,plain,(aNaturalNumber0(X1)|xn!=X1),inference(sr,[status(thm)],[4278,60,theory(equality)])).
% cnf(6343,plain,(sdtmndt0(X1,xn)=esk1_2(xn,xn)|xn!=X1),inference(csr,[status(thm)],[4243,4279])).
% cnf(6344,plain,(sdtmndt0(xn,xn)=esk1_2(xn,xn)),inference(er,[status(thm)],[6343,theory(equality)])).
% cnf(6357,plain,(sdtpldt0(xn,sdtmndt0(xn,xn))=xn),inference(rw,[status(thm)],[4178,6344,theory(equality)])).
% cnf(6445,plain,(sdtpldt0(xn,sz00)=xn|~aNaturalNumber0(xn)),inference(spm,[status(thm)],[6357,700,theory(equality)])).
% cnf(6485,plain,(sdtpldt0(xn,sz00)=xn|$false),inference(rw,[status(thm)],[6445,219,theory(equality)])).
% cnf(6486,plain,(sdtpldt0(xn,sz00)=xn),inference(cn,[status(thm)],[6485,theory(equality)])).
% cnf(6488,plain,(sdtpldt0(sz00,xn)=xn|~aNaturalNumber0(xn)|~aNaturalNumber0(sz00)),inference(spm,[status(thm)],[70,6486,theory(equality)])).
% cnf(6504,plain,(sdtpldt0(sz00,xn)=xn|$false|~aNaturalNumber0(sz00)),inference(rw,[status(thm)],[6488,219,theory(equality)])).
% cnf(6505,plain,(sdtpldt0(sz00,xn)=xn|$false|$false),inference(rw,[status(thm)],[6504,59,theory(equality)])).
% cnf(6506,plain,(sdtpldt0(sz00,xn)=xn),inference(cn,[status(thm)],[6505,theory(equality)])).
% cnf(6557,plain,(sdtlseqdt0(sz00,X1)|xn!=X1|~aNaturalNumber0(xn)|~aNaturalNumber0(sz00)|~aNaturalNumber0(X1)),inference(spm,[status(thm)],[126,6506,theory(equality)])).
% cnf(6588,plain,(sdtlseqdt0(sz00,X1)|xn!=X1|$false|~aNaturalNumber0(sz00)|~aNaturalNumber0(X1)),inference(rw,[status(thm)],[6557,219,theory(equality)])).
% cnf(6589,plain,(sdtlseqdt0(sz00,X1)|xn!=X1|$false|$false|~aNaturalNumber0(X1)),inference(rw,[status(thm)],[6588,59,theory(equality)])).
% cnf(6590,plain,(sdtlseqdt0(sz00,X1)|xn!=X1|~aNaturalNumber0(X1)),inference(cn,[status(thm)],[6589,theory(equality)])).
% cnf(6646,plain,(sdtlseqdt0(sz00,X1)|xn!=X1),inference(csr,[status(thm)],[6590,4279])).
% cnf(6647,plain,(sdtlseqdt0(sz00,xn)),inference(er,[status(thm)],[6646,theory(equality)])).
% cnf(6654,plain,(sdtlseqdt0(X1,xn)|~sdtlseqdt0(X1,sz00)|~aNaturalNumber0(sz00)|~aNaturalNumber0(xn)|~aNaturalNumber0(X1)),inference(spm,[status(thm)],[135,6647,theory(equality)])).
% cnf(6687,plain,(sdtlseqdt0(X1,xn)|~sdtlseqdt0(X1,sz00)|$false|~aNaturalNumber0(xn)|~aNaturalNumber0(X1)),inference(rw,[status(thm)],[6654,59,theory(equality)])).
% cnf(6688,plain,(sdtlseqdt0(X1,xn)|~sdtlseqdt0(X1,sz00)|$false|$false|~aNaturalNumber0(X1)),inference(rw,[status(thm)],[6687,219,theory(equality)])).
% cnf(6689,plain,(sdtlseqdt0(X1,xn)|~sdtlseqdt0(X1,sz00)|~aNaturalNumber0(X1)),inference(cn,[status(thm)],[6688,theory(equality)])).
% cnf(7051,plain,(sdtlseqdt0(xp,X1)|xp!=X1|~aNaturalNumber0(sz00)|~aNaturalNumber0(xp)|~aNaturalNumber0(X1)),inference(spm,[status(thm)],[522,2220,theory(equality)])).
% cnf(7076,plain,(sdtlseqdt0(xp,X1)|xp!=X1|$false|~aNaturalNumber0(xp)|~aNaturalNumber0(X1)),inference(rw,[status(thm)],[7051,59,theory(equality)])).
% cnf(7077,plain,(sdtlseqdt0(xp,X1)|xp!=X1|$false|$false|~aNaturalNumber0(X1)),inference(rw,[status(thm)],[7076,217,theory(equality)])).
% cnf(7078,plain,(sdtlseqdt0(xp,X1)|xp!=X1|~aNaturalNumber0(X1)),inference(cn,[status(thm)],[7077,theory(equality)])).
% cnf(7097,plain,(sdtlseqdt0(xp,xp)|~aNaturalNumber0(xp)),inference(er,[status(thm)],[7078,theory(equality)])).
% cnf(7098,plain,(sdtlseqdt0(xp,xp)|$false),inference(rw,[status(thm)],[7097,217,theory(equality)])).
% cnf(7099,plain,(sdtlseqdt0(xp,xp)),inference(cn,[status(thm)],[7098,theory(equality)])).
% cnf(7100,plain,(aNaturalNumber0(esk1_2(xp,xp))|~aNaturalNumber0(xp)),inference(spm,[status(thm)],[125,7099,theory(equality)])).
% cnf(7101,plain,(sdtpldt0(xp,esk1_2(xp,xp))=xp|~aNaturalNumber0(xp)),inference(spm,[status(thm)],[124,7099,theory(equality)])).
% cnf(7105,plain,(aNaturalNumber0(esk1_2(xp,xp))|$false),inference(rw,[status(thm)],[7100,217,theory(equality)])).
% cnf(7106,plain,(aNaturalNumber0(esk1_2(xp,xp))),inference(cn,[status(thm)],[7105,theory(equality)])).
% cnf(7107,plain,(sdtpldt0(xp,esk1_2(xp,xp))=xp|$false),inference(rw,[status(thm)],[7101,217,theory(equality)])).
% cnf(7108,plain,(sdtpldt0(xp,esk1_2(xp,xp))=xp),inference(cn,[status(thm)],[7107,theory(equality)])).
% cnf(8240,plain,(esk1_2(xp,xp)=sz00|~aNaturalNumber0(xp)|~aNaturalNumber0(esk1_2(xp,xp))),inference(spm,[status(thm)],[557,7108,theory(equality)])).
% cnf(8259,plain,(esk1_2(xp,xp)=sz00|$false|~aNaturalNumber0(esk1_2(xp,xp))),inference(rw,[status(thm)],[8240,217,theory(equality)])).
% cnf(8260,plain,(esk1_2(xp,xp)=sz00|$false|$false),inference(rw,[status(thm)],[8259,7106,theory(equality)])).
% cnf(8261,plain,(esk1_2(xp,xp)=sz00),inference(cn,[status(thm)],[8260,theory(equality)])).
% cnf(8392,plain,(sdtpldt0(xp,sz00)=xp),inference(rw,[status(thm)],[7108,8261,theory(equality)])).
% cnf(8466,plain,(doDivides0(X1,sz00)|~doDivides0(X1,xp)|~aNaturalNumber0(xp)|~aNaturalNumber0(sz00)|~aNaturalNumber0(X1)),inference(spm,[status(thm)],[190,8392,theory(equality)])).
% cnf(8514,plain,(doDivides0(X1,sz00)|~doDivides0(X1,xp)|$false|~aNaturalNumber0(sz00)|~aNaturalNumber0(X1)),inference(rw,[status(thm)],[8466,217,theory(equality)])).
% cnf(8515,plain,(doDivides0(X1,sz00)|~doDivides0(X1,xp)|$false|$false|~aNaturalNumber0(X1)),inference(rw,[status(thm)],[8514,59,theory(equality)])).
% cnf(8516,plain,(doDivides0(X1,sz00)|~doDivides0(X1,xp)|~aNaturalNumber0(X1)),inference(cn,[status(thm)],[8515,theory(equality)])).
% cnf(9785,plain,(doDivides0(xp,sz00)|~aNaturalNumber0(xp)),inference(spm,[status(thm)],[8516,599,theory(equality)])).
% cnf(9795,plain,(doDivides0(xp,sz00)|$false),inference(rw,[status(thm)],[9785,217,theory(equality)])).
% cnf(9796,plain,(doDivides0(xp,sz00)),inference(cn,[status(thm)],[9795,theory(equality)])).
% cnf(9814,plain,(aNaturalNumber0(esk2_2(xp,sz00))|~aNaturalNumber0(xp)|~aNaturalNumber0(sz00)),inference(spm,[status(thm)],[173,9796,theory(equality)])).
% cnf(9815,plain,(sdtasdt0(xp,esk2_2(xp,sz00))=sz00|~aNaturalNumber0(xp)|~aNaturalNumber0(sz00)),inference(spm,[status(thm)],[172,9796,theory(equality)])).
% cnf(9822,plain,(aNaturalNumber0(esk2_2(xp,sz00))|$false|~aNaturalNumber0(sz00)),inference(rw,[status(thm)],[9814,217,theory(equality)])).
% cnf(9823,plain,(aNaturalNumber0(esk2_2(xp,sz00))|$false|$false),inference(rw,[status(thm)],[9822,59,theory(equality)])).
% cnf(9824,plain,(aNaturalNumber0(esk2_2(xp,sz00))),inference(cn,[status(thm)],[9823,theory(equality)])).
% cnf(9825,plain,(sdtasdt0(xp,esk2_2(xp,sz00))=sz00|$false|~aNaturalNumber0(sz00)),inference(rw,[status(thm)],[9815,217,theory(equality)])).
% cnf(9826,plain,(sdtasdt0(xp,esk2_2(xp,sz00))=sz00|$false|$false),inference(rw,[status(thm)],[9825,59,theory(equality)])).
% cnf(9827,plain,(sdtasdt0(xp,esk2_2(xp,sz00))=sz00),inference(cn,[status(thm)],[9826,theory(equality)])).
% cnf(9837,plain,(sz00=esk2_2(xp,sz00)|sdtlseqdt0(xp,sz00)|~aNaturalNumber0(esk2_2(xp,sz00))|~aNaturalNumber0(xp)),inference(spm,[status(thm)],[163,9827,theory(equality)])).
% cnf(9861,plain,(sz00=esk2_2(xp,sz00)|sdtlseqdt0(xp,sz00)|$false|~aNaturalNumber0(xp)),inference(rw,[status(thm)],[9837,9824,theory(equality)])).
% cnf(9862,plain,(sz00=esk2_2(xp,sz00)|sdtlseqdt0(xp,sz00)|$false|$false),inference(rw,[status(thm)],[9861,217,theory(equality)])).
% cnf(9863,plain,(sz00=esk2_2(xp,sz00)|sdtlseqdt0(xp,sz00)),inference(cn,[status(thm)],[9862,theory(equality)])).
% cnf(9934,plain,(sz00=xr|aNaturalNumber0(sdtsldt0(xn,xr))|~aNaturalNumber0(xr)|~aNaturalNumber0(xn)),inference(spm,[status(thm)],[580,245,theory(equality)])).
% cnf(9946,plain,(sz00=xr|aNaturalNumber0(sdtsldt0(xn,xr))|$false|~aNaturalNumber0(xn)),inference(rw,[status(thm)],[9934,239,theory(equality)])).
% cnf(9947,plain,(sz00=xr|aNaturalNumber0(sdtsldt0(xn,xr))|$false|$false),inference(rw,[status(thm)],[9946,219,theory(equality)])).
% cnf(9948,plain,(sz00=xr|aNaturalNumber0(sdtsldt0(xn,xr))),inference(cn,[status(thm)],[9947,theory(equality)])).
% cnf(10052,plain,(sdtasdt0(xp,sz00)=sz00|sdtlseqdt0(xp,sz00)),inference(spm,[status(thm)],[9827,9863,theory(equality)])).
% cnf(12503,plain,(sdtlseqdt0(xp,xn)|sdtasdt0(xp,sz00)=sz00|~aNaturalNumber0(xp)),inference(spm,[status(thm)],[6689,10052,theory(equality)])).
% cnf(12550,plain,(sdtlseqdt0(xp,xn)|sdtasdt0(xp,sz00)=sz00|$false),inference(rw,[status(thm)],[12503,217,theory(equality)])).
% cnf(12551,plain,(sdtlseqdt0(xp,xn)|sdtasdt0(xp,sz00)=sz00),inference(cn,[status(thm)],[12550,theory(equality)])).
% cnf(12552,plain,(sdtasdt0(xp,sz00)=sz00),inference(sr,[status(thm)],[12551,225,theory(equality)])).
% cnf(14347,plain,(sdtasdt0(xr,sdtsldt0(xn,xr))=xn|sz00=xr|~aNaturalNumber0(xr)|~aNaturalNumber0(xn)),inference(spm,[status(thm)],[670,245,theory(equality)])).
% cnf(14362,plain,(sdtasdt0(xr,sdtsldt0(xn,xr))=xn|sz00=xr|$false|~aNaturalNumber0(xn)),inference(rw,[status(thm)],[14347,239,theory(equality)])).
% cnf(14363,plain,(sdtasdt0(xr,sdtsldt0(xn,xr))=xn|sz00=xr|$false|$false),inference(rw,[status(thm)],[14362,219,theory(equality)])).
% cnf(14364,plain,(sdtasdt0(xr,sdtsldt0(xn,xr))=xn|sz00=xr),inference(cn,[status(thm)],[14363,theory(equality)])).
% cnf(14658,plain,(sz00=xr|sdtlseqdt0(sdtsldt0(xn,xr),xn)|~aNaturalNumber0(xr)|~aNaturalNumber0(sdtsldt0(xn,xr))),inference(spm,[status(thm)],[410,14364,theory(equality)])).
% cnf(14697,plain,(sz00=xr|sdtlseqdt0(sdtsldt0(xn,xr),xn)|$false|~aNaturalNumber0(sdtsldt0(xn,xr))),inference(rw,[status(thm)],[14658,239,theory(equality)])).
% cnf(14698,plain,(sz00=xr|sdtlseqdt0(sdtsldt0(xn,xr),xn)|~aNaturalNumber0(sdtsldt0(xn,xr))),inference(cn,[status(thm)],[14697,theory(equality)])).
% cnf(14776,plain,(xr=sz00|sdtlseqdt0(sdtsldt0(xn,xr),xn)),inference(csr,[status(thm)],[14698,9948])).
% cnf(14791,negated_conjecture,(sdtsldt0(xn,xr)=xn|xr=sz00),inference(spm,[status(thm)],[258,14776,theory(equality)])).
% cnf(14823,negated_conjecture,(sdtasdt0(xr,xn)=xn|xr=sz00),inference(spm,[status(thm)],[14364,14791,theory(equality)])).
% cnf(14840,plain,(sdtsldt0(sdtasdt0(X1,X2),X1)=X2|sz00=X1|~aNaturalNumber0(X2)|~aNaturalNumber0(X1)),inference(csr,[status(thm)],[675,67])).
% cnf(14853,plain,(sdtsldt0(sz00,xp)=sz00|sz00=xp|~aNaturalNumber0(sz00)|~aNaturalNumber0(xp)),inference(spm,[status(thm)],[14840,12552,theory(equality)])).
% cnf(14893,plain,(sdtsldt0(sz00,xp)=sz00|sz00=xp|$false|~aNaturalNumber0(xp)),inference(rw,[status(thm)],[14853,59,theory(equality)])).
% cnf(14894,plain,(sdtsldt0(sz00,xp)=sz00|sz00=xp|$false|$false),inference(rw,[status(thm)],[14893,217,theory(equality)])).
% cnf(14895,plain,(sdtsldt0(sz00,xp)=sz00|sz00=xp),inference(cn,[status(thm)],[14894,theory(equality)])).
% cnf(14944,negated_conjecture,(xr=sz10|sz00=xn|xr=sz00|~aNaturalNumber0(xr)|~aNaturalNumber0(xn)),inference(spm,[status(thm)],[632,14823,theory(equality)])).
% cnf(15020,negated_conjecture,(xr=sz10|sz00=xn|xr=sz00|$false|~aNaturalNumber0(xn)),inference(rw,[status(thm)],[14944,239,theory(equality)])).
% cnf(15021,negated_conjecture,(xr=sz10|sz00=xn|xr=sz00|$false|$false),inference(rw,[status(thm)],[15020,219,theory(equality)])).
% cnf(15022,negated_conjecture,(xr=sz10|sz00=xn|xr=sz00),inference(cn,[status(thm)],[15021,theory(equality)])).
% cnf(15074,negated_conjecture,(isPrime0(sz10)|xr=sz00|xn=sz00),inference(spm,[status(thm)],[237,15022,theory(equality)])).
% cnf(15184,negated_conjecture,(xr=sz00|xn=sz00),inference(sr,[status(thm)],[15074,272,theory(equality)])).
% cnf(15287,negated_conjecture,(isPrime0(sz00)|xn=sz00),inference(spm,[status(thm)],[237,15184,theory(equality)])).
% cnf(15367,negated_conjecture,(xn=sz00),inference(sr,[status(thm)],[15287,269,theory(equality)])).
% cnf(15813,plain,(sdtsldt0(sdtasdt0(sz00,xm),xp)=xk),inference(rw,[status(thm)],[231,15367,theory(equality)])).
% cnf(15818,plain,(xp!=sz00),inference(rw,[status(thm)],[230,15367,theory(equality)])).
% cnf(16543,plain,(sdtsldt0(sz00,xp)=sz00),inference(sr,[status(thm)],[14895,15818,theory(equality)])).
% cnf(17373,plain,(sdtsldt0(sz00,xp)=xk|~aNaturalNumber0(xm)),inference(spm,[status(thm)],[15813,93,theory(equality)])).
% cnf(17382,plain,(sz00=xk|~aNaturalNumber0(xm)),inference(rw,[status(thm)],[17373,16543,theory(equality)])).
% cnf(17383,plain,(sz00=xk|$false),inference(rw,[status(thm)],[17382,218,theory(equality)])).
% cnf(17384,plain,(sz00=xk),inference(cn,[status(thm)],[17383,theory(equality)])).
% cnf(17385,plain,($false),inference(sr,[status(thm)],[17384,234,theory(equality)])).
% cnf(17386,plain,($false),17385,['proof']).
% # SZS output end CNFRefutation
% # Processed clauses                  : 1340
% # ...of these trivial                : 33
% # ...subsumed                        : 488
% # ...remaining for further processing: 819
% # Other redundant clauses eliminated : 54
% # Clauses deleted for lack of memory : 0
% # Backward-subsumed                  : 39
% # Backward-rewritten                 : 343
% # Generated clauses                  : 5421
% # ...of the previous two non-trivial : 4526
% # Contextual simplify-reflections    : 187
% # Paramodulations                    : 5258
% # Factorizations                     : 9
% # Equation resolutions               : 129
% # Current number of processed clauses: 325
% #    Positive orientable unit clauses: 83
% #    Positive unorientable unit clauses: 0
% #    Negative unit clauses           : 13
% #    Non-unit-clauses                : 229
% # Current number of unprocessed clauses: 1419
% # ...number of literals in the above : 6323
% # Clause-clause subsumption calls (NU) : 3911
% # Rec. Clause-clause subsumption calls : 2658
% # Unit Clause-clause subsumption calls : 134
% # Rewrite failures with RHS unbound  : 0
% # Indexed BW rewrite attempts        : 35
% # Indexed BW rewrite successes       : 31
% # Backwards rewriting index:   297 leaves,   1.16+/-0.706 terms/leaf
% # Paramod-from index:          194 leaves,   1.04+/-0.223 terms/leaf
% # Paramod-into index:          278 leaves,   1.10+/-0.576 terms/leaf
% # -------------------------------------------------
% # User time              : 0.302 s
% # System time            : 0.017 s
% # Total time             : 0.319 s
% # Maximum resident set size: 0 pages
% PrfWatch: 0.63 CPU 0.74 WC
% FINAL PrfWatch: 0.63 CPU 0.74 WC
% SZS output end Solution for /tmp/SystemOnTPTP9212/NUM510+1.tptp
% 
%------------------------------------------------------------------------------