TSTP Solution File: NUM503+1 by SRASS---0.1
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- Process Solution
%------------------------------------------------------------------------------
% File : SRASS---0.1
% Problem : NUM503+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 : art07.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 19:39:59 EST 2010
% Result : Theorem 4.43s
% Output : Solution 4.43s
% 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/SystemOnTPTP1157/NUM503+1.tptp
% Adding relevance values
% Extracting the conjecture
% Sorting axioms by relevance
% Looking for THM ...
% found
% SZS status THM for /tmp/SystemOnTPTP1157/NUM503+1.tptp
% SZS output start Solution for /tmp/SystemOnTPTP1157/NUM503+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 1255
% TreeLimitedRun: ----------------------------------------------------------
% PrfWatch: 0.00 CPU 0.01 WC
% PrfWatch: 1.93 CPU 2.02 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(3, axiom,![X1]:![X2]:((aNaturalNumber0(X1)&aNaturalNumber0(X2))=>aNaturalNumber0(sdtpldt0(X1,X2))),file('/tmp/SRASS.s.p', mSortsB)).
% 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(9, axiom,![X1]:![X2]:![X3]:(((aNaturalNumber0(X1)&aNaturalNumber0(X2))&aNaturalNumber0(X3))=>sdtasdt0(sdtasdt0(X1,X2),X3)=sdtasdt0(X1,sdtasdt0(X2,X3))),file('/tmp/SRASS.s.p', mMulAsso)).
% fof(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(12, axiom,![X1]:![X2]:![X3]:(((aNaturalNumber0(X1)&aNaturalNumber0(X2))&aNaturalNumber0(X3))=>(sdtasdt0(X1,sdtpldt0(X2,X3))=sdtpldt0(sdtasdt0(X1,X2),sdtasdt0(X1,X3))&sdtasdt0(sdtpldt0(X2,X3),X1)=sdtpldt0(sdtasdt0(X2,X1),sdtasdt0(X3,X1)))),file('/tmp/SRASS.s.p', mAMDistr)).
% fof(13, axiom,![X1]:![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(15, axiom,![X1]:![X2]:((aNaturalNumber0(X1)&aNaturalNumber0(X2))=>(sdtpldt0(X1,X2)=sz00=>(X1=sz00&X2=sz00))),file('/tmp/SRASS.s.p', mZeroAdd)).
% 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(19, axiom,![X1]:![X2]:((aNaturalNumber0(X1)&aNaturalNumber0(X2))=>((sdtlseqdt0(X1,X2)&sdtlseqdt0(X2,X1))=>X1=X2)),file('/tmp/SRASS.s.p', mLEAsym)).
% 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(21, axiom,![X1]:![X2]:((aNaturalNumber0(X1)&aNaturalNumber0(X2))=>(sdtlseqdt0(X1,X2)|(~(X2=X1)&sdtlseqdt0(X2,X1)))),file('/tmp/SRASS.s.p', mLETotal)).
% fof(23, axiom,![X1]:![X2]:![X3]:(((aNaturalNumber0(X1)&aNaturalNumber0(X2))&aNaturalNumber0(X3))=>(((~(X1=sz00)&~(X2=X3))&sdtlseqdt0(X2,X3))=>(((~(sdtasdt0(X1,X2)=sdtasdt0(X1,X3))&sdtlseqdt0(sdtasdt0(X1,X2),sdtasdt0(X1,X3)))&~(sdtasdt0(X2,X1)=sdtasdt0(X3,X1)))&sdtlseqdt0(sdtasdt0(X2,X1),sdtasdt0(X3,X1))))),file('/tmp/SRASS.s.p', mMonMul)).
% 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(34, axiom,![X1]:(aNaturalNumber0(X1)=>(isPrime0(X1)<=>((~(X1=sz00)&~(X1=sz10))&![X2]:((aNaturalNumber0(X2)&doDivides0(X2,X1))=>(X2=sz10|X2=X1))))),file('/tmp/SRASS.s.p', mDefPrime)).
% fof(36, axiom,((aNaturalNumber0(xn)&aNaturalNumber0(xm))&aNaturalNumber0(xp)),file('/tmp/SRASS.s.p', m__1837)).
% fof(38, axiom,(isPrime0(xp)&doDivides0(xp,sdtasdt0(xn,xm))),file('/tmp/SRASS.s.p', m__1860)).
% fof(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(46, axiom,(sdtlseqdt0(xr,xk)&doDivides0(xr,sdtasdt0(xn,xm))),file('/tmp/SRASS.s.p', m__2362)).
% fof(47, axiom,sdtlseqdt0(xp,xk),file('/tmp/SRASS.s.p', m__2389)).
% fof(48, 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, plain,~(sdtlseqdt0(xp,xn)),inference(fof_simplification,[status(thm)],[39,theory(equality)])).
% cnf(57,plain,(aNaturalNumber0(sz00)),inference(split_conjunct,[status(thm)],[1])).
% cnf(58,plain,(sz10!=sz00),inference(split_conjunct,[status(thm)],[2])).
% cnf(59,plain,(aNaturalNumber0(sz10)),inference(split_conjunct,[status(thm)],[2])).
% fof(60, plain,![X1]:![X2]:((~(aNaturalNumber0(X1))|~(aNaturalNumber0(X2)))|aNaturalNumber0(sdtpldt0(X1,X2))),inference(fof_nnf,[status(thm)],[3])).
% fof(61, plain,![X3]:![X4]:((~(aNaturalNumber0(X3))|~(aNaturalNumber0(X4)))|aNaturalNumber0(sdtpldt0(X3,X4))),inference(variable_rename,[status(thm)],[60])).
% cnf(62,plain,(aNaturalNumber0(sdtpldt0(X1,X2))|~aNaturalNumber0(X2)|~aNaturalNumber0(X1)),inference(split_conjunct,[status(thm)],[61])).
% fof(63, plain,![X1]:![X2]:((~(aNaturalNumber0(X1))|~(aNaturalNumber0(X2)))|aNaturalNumber0(sdtasdt0(X1,X2))),inference(fof_nnf,[status(thm)],[4])).
% fof(64, plain,![X3]:![X4]:((~(aNaturalNumber0(X3))|~(aNaturalNumber0(X4)))|aNaturalNumber0(sdtasdt0(X3,X4))),inference(variable_rename,[status(thm)],[63])).
% cnf(65,plain,(aNaturalNumber0(sdtasdt0(X1,X2))|~aNaturalNumber0(X2)|~aNaturalNumber0(X1)),inference(split_conjunct,[status(thm)],[64])).
% fof(66, plain,![X1]:![X2]:((~(aNaturalNumber0(X1))|~(aNaturalNumber0(X2)))|sdtpldt0(X1,X2)=sdtpldt0(X2,X1)),inference(fof_nnf,[status(thm)],[5])).
% fof(67, plain,![X3]:![X4]:((~(aNaturalNumber0(X3))|~(aNaturalNumber0(X4)))|sdtpldt0(X3,X4)=sdtpldt0(X4,X3)),inference(variable_rename,[status(thm)],[66])).
% cnf(68,plain,(sdtpldt0(X1,X2)=sdtpldt0(X2,X1)|~aNaturalNumber0(X2)|~aNaturalNumber0(X1)),inference(split_conjunct,[status(thm)],[67])).
% fof(72, plain,![X1]:(~(aNaturalNumber0(X1))|(sdtpldt0(X1,sz00)=X1&X1=sdtpldt0(sz00,X1))),inference(fof_nnf,[status(thm)],[7])).
% fof(73, plain,![X2]:(~(aNaturalNumber0(X2))|(sdtpldt0(X2,sz00)=X2&X2=sdtpldt0(sz00,X2))),inference(variable_rename,[status(thm)],[72])).
% fof(74, plain,![X2]:((sdtpldt0(X2,sz00)=X2|~(aNaturalNumber0(X2)))&(X2=sdtpldt0(sz00,X2)|~(aNaturalNumber0(X2)))),inference(distribute,[status(thm)],[73])).
% cnf(75,plain,(X1=sdtpldt0(sz00,X1)|~aNaturalNumber0(X1)),inference(split_conjunct,[status(thm)],[74])).
% cnf(76,plain,(sdtpldt0(X1,sz00)=X1|~aNaturalNumber0(X1)),inference(split_conjunct,[status(thm)],[74])).
% fof(77, plain,![X1]:![X2]:((~(aNaturalNumber0(X1))|~(aNaturalNumber0(X2)))|sdtasdt0(X1,X2)=sdtasdt0(X2,X1)),inference(fof_nnf,[status(thm)],[8])).
% fof(78, plain,![X3]:![X4]:((~(aNaturalNumber0(X3))|~(aNaturalNumber0(X4)))|sdtasdt0(X3,X4)=sdtasdt0(X4,X3)),inference(variable_rename,[status(thm)],[77])).
% cnf(79,plain,(sdtasdt0(X1,X2)=sdtasdt0(X2,X1)|~aNaturalNumber0(X2)|~aNaturalNumber0(X1)),inference(split_conjunct,[status(thm)],[78])).
% fof(80, plain,![X1]:![X2]:![X3]:(((~(aNaturalNumber0(X1))|~(aNaturalNumber0(X2)))|~(aNaturalNumber0(X3)))|sdtasdt0(sdtasdt0(X1,X2),X3)=sdtasdt0(X1,sdtasdt0(X2,X3))),inference(fof_nnf,[status(thm)],[9])).
% fof(81, plain,![X4]:![X5]:![X6]:(((~(aNaturalNumber0(X4))|~(aNaturalNumber0(X5)))|~(aNaturalNumber0(X6)))|sdtasdt0(sdtasdt0(X4,X5),X6)=sdtasdt0(X4,sdtasdt0(X5,X6))),inference(variable_rename,[status(thm)],[80])).
% cnf(82,plain,(sdtasdt0(sdtasdt0(X1,X2),X3)=sdtasdt0(X1,sdtasdt0(X2,X3))|~aNaturalNumber0(X3)|~aNaturalNumber0(X2)|~aNaturalNumber0(X1)),inference(split_conjunct,[status(thm)],[81])).
% fof(83, plain,![X1]:(~(aNaturalNumber0(X1))|(sdtasdt0(X1,sz10)=X1&X1=sdtasdt0(sz10,X1))),inference(fof_nnf,[status(thm)],[10])).
% fof(84, plain,![X2]:(~(aNaturalNumber0(X2))|(sdtasdt0(X2,sz10)=X2&X2=sdtasdt0(sz10,X2))),inference(variable_rename,[status(thm)],[83])).
% fof(85, plain,![X2]:((sdtasdt0(X2,sz10)=X2|~(aNaturalNumber0(X2)))&(X2=sdtasdt0(sz10,X2)|~(aNaturalNumber0(X2)))),inference(distribute,[status(thm)],[84])).
% cnf(86,plain,(X1=sdtasdt0(sz10,X1)|~aNaturalNumber0(X1)),inference(split_conjunct,[status(thm)],[85])).
% cnf(87,plain,(sdtasdt0(X1,sz10)=X1|~aNaturalNumber0(X1)),inference(split_conjunct,[status(thm)],[85])).
% fof(88, plain,![X1]:(~(aNaturalNumber0(X1))|(sdtasdt0(X1,sz00)=sz00&sz00=sdtasdt0(sz00,X1))),inference(fof_nnf,[status(thm)],[11])).
% fof(89, plain,![X2]:(~(aNaturalNumber0(X2))|(sdtasdt0(X2,sz00)=sz00&sz00=sdtasdt0(sz00,X2))),inference(variable_rename,[status(thm)],[88])).
% fof(90, plain,![X2]:((sdtasdt0(X2,sz00)=sz00|~(aNaturalNumber0(X2)))&(sz00=sdtasdt0(sz00,X2)|~(aNaturalNumber0(X2)))),inference(distribute,[status(thm)],[89])).
% cnf(91,plain,(sz00=sdtasdt0(sz00,X1)|~aNaturalNumber0(X1)),inference(split_conjunct,[status(thm)],[90])).
% cnf(92,plain,(sdtasdt0(X1,sz00)=sz00|~aNaturalNumber0(X1)),inference(split_conjunct,[status(thm)],[90])).
% fof(93, plain,![X1]:![X2]:![X3]:(((~(aNaturalNumber0(X1))|~(aNaturalNumber0(X2)))|~(aNaturalNumber0(X3)))|(sdtasdt0(X1,sdtpldt0(X2,X3))=sdtpldt0(sdtasdt0(X1,X2),sdtasdt0(X1,X3))&sdtasdt0(sdtpldt0(X2,X3),X1)=sdtpldt0(sdtasdt0(X2,X1),sdtasdt0(X3,X1)))),inference(fof_nnf,[status(thm)],[12])).
% fof(94, plain,![X4]:![X5]:![X6]:(((~(aNaturalNumber0(X4))|~(aNaturalNumber0(X5)))|~(aNaturalNumber0(X6)))|(sdtasdt0(X4,sdtpldt0(X5,X6))=sdtpldt0(sdtasdt0(X4,X5),sdtasdt0(X4,X6))&sdtasdt0(sdtpldt0(X5,X6),X4)=sdtpldt0(sdtasdt0(X5,X4),sdtasdt0(X6,X4)))),inference(variable_rename,[status(thm)],[93])).
% fof(95, plain,![X4]:![X5]:![X6]:((sdtasdt0(X4,sdtpldt0(X5,X6))=sdtpldt0(sdtasdt0(X4,X5),sdtasdt0(X4,X6))|((~(aNaturalNumber0(X4))|~(aNaturalNumber0(X5)))|~(aNaturalNumber0(X6))))&(sdtasdt0(sdtpldt0(X5,X6),X4)=sdtpldt0(sdtasdt0(X5,X4),sdtasdt0(X6,X4))|((~(aNaturalNumber0(X4))|~(aNaturalNumber0(X5)))|~(aNaturalNumber0(X6))))),inference(distribute,[status(thm)],[94])).
% cnf(97,plain,(sdtasdt0(X3,sdtpldt0(X2,X1))=sdtpldt0(sdtasdt0(X3,X2),sdtasdt0(X3,X1))|~aNaturalNumber0(X1)|~aNaturalNumber0(X2)|~aNaturalNumber0(X3)),inference(split_conjunct,[status(thm)],[95])).
% fof(98, 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(99, 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)],[98])).
% fof(100, 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)],[99])).
% cnf(102,plain,(X2=X1|~aNaturalNumber0(X1)|~aNaturalNumber0(X2)|~aNaturalNumber0(X3)|sdtpldt0(X3,X2)!=sdtpldt0(X3,X1)),inference(split_conjunct,[status(thm)],[100])).
% fof(103, plain,![X1]:(~(aNaturalNumber0(X1))|(X1=sz00|![X2]:![X3]:((~(aNaturalNumber0(X2))|~(aNaturalNumber0(X3)))|((~(sdtasdt0(X1,X2)=sdtasdt0(X1,X3))&~(sdtasdt0(X2,X1)=sdtasdt0(X3,X1)))|X2=X3)))),inference(fof_nnf,[status(thm)],[14])).
% fof(104, plain,![X4]:(~(aNaturalNumber0(X4))|(X4=sz00|![X5]:![X6]:((~(aNaturalNumber0(X5))|~(aNaturalNumber0(X6)))|((~(sdtasdt0(X4,X5)=sdtasdt0(X4,X6))&~(sdtasdt0(X5,X4)=sdtasdt0(X6,X4)))|X5=X6)))),inference(variable_rename,[status(thm)],[103])).
% fof(105, plain,![X4]:![X5]:![X6]:((((~(aNaturalNumber0(X5))|~(aNaturalNumber0(X6)))|((~(sdtasdt0(X4,X5)=sdtasdt0(X4,X6))&~(sdtasdt0(X5,X4)=sdtasdt0(X6,X4)))|X5=X6))|X4=sz00)|~(aNaturalNumber0(X4))),inference(shift_quantors,[status(thm)],[104])).
% fof(106, plain,![X4]:![X5]:![X6]:(((((~(sdtasdt0(X4,X5)=sdtasdt0(X4,X6))|X5=X6)|(~(aNaturalNumber0(X5))|~(aNaturalNumber0(X6))))|X4=sz00)|~(aNaturalNumber0(X4)))&((((~(sdtasdt0(X5,X4)=sdtasdt0(X6,X4))|X5=X6)|(~(aNaturalNumber0(X5))|~(aNaturalNumber0(X6))))|X4=sz00)|~(aNaturalNumber0(X4)))),inference(distribute,[status(thm)],[105])).
% cnf(108,plain,(X1=sz00|X3=X2|~aNaturalNumber0(X1)|~aNaturalNumber0(X2)|~aNaturalNumber0(X3)|sdtasdt0(X1,X3)!=sdtasdt0(X1,X2)),inference(split_conjunct,[status(thm)],[106])).
% fof(109, plain,![X1]:![X2]:((~(aNaturalNumber0(X1))|~(aNaturalNumber0(X2)))|(~(sdtpldt0(X1,X2)=sz00)|(X1=sz00&X2=sz00))),inference(fof_nnf,[status(thm)],[15])).
% fof(110, plain,![X3]:![X4]:((~(aNaturalNumber0(X3))|~(aNaturalNumber0(X4)))|(~(sdtpldt0(X3,X4)=sz00)|(X3=sz00&X4=sz00))),inference(variable_rename,[status(thm)],[109])).
% fof(111, plain,![X3]:![X4]:(((X3=sz00|~(sdtpldt0(X3,X4)=sz00))|(~(aNaturalNumber0(X3))|~(aNaturalNumber0(X4))))&((X4=sz00|~(sdtpldt0(X3,X4)=sz00))|(~(aNaturalNumber0(X3))|~(aNaturalNumber0(X4))))),inference(distribute,[status(thm)],[110])).
% cnf(112,plain,(X1=sz00|~aNaturalNumber0(X1)|~aNaturalNumber0(X2)|sdtpldt0(X2,X1)!=sz00),inference(split_conjunct,[status(thm)],[111])).
% cnf(113,plain,(X2=sz00|~aNaturalNumber0(X1)|~aNaturalNumber0(X2)|sdtpldt0(X2,X1)!=sz00),inference(split_conjunct,[status(thm)],[111])).
% fof(117, 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(118, 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)],[117])).
% fof(119, 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)],[118])).
% fof(120, 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)],[119])).
% fof(121, 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)],[120])).
% cnf(122,plain,(sdtpldt0(X2,esk1_2(X2,X1))=X1|~aNaturalNumber0(X1)|~aNaturalNumber0(X2)|~sdtlseqdt0(X2,X1)),inference(split_conjunct,[status(thm)],[121])).
% cnf(123,plain,(aNaturalNumber0(esk1_2(X2,X1))|~aNaturalNumber0(X1)|~aNaturalNumber0(X2)|~sdtlseqdt0(X2,X1)),inference(split_conjunct,[status(thm)],[121])).
% cnf(124,plain,(sdtlseqdt0(X2,X1)|~aNaturalNumber0(X1)|~aNaturalNumber0(X2)|sdtpldt0(X2,X3)!=X1|~aNaturalNumber0(X3)),inference(split_conjunct,[status(thm)],[121])).
% fof(128, plain,![X1]:![X2]:((~(aNaturalNumber0(X1))|~(aNaturalNumber0(X2)))|((~(sdtlseqdt0(X1,X2))|~(sdtlseqdt0(X2,X1)))|X1=X2)),inference(fof_nnf,[status(thm)],[19])).
% fof(129, plain,![X3]:![X4]:((~(aNaturalNumber0(X3))|~(aNaturalNumber0(X4)))|((~(sdtlseqdt0(X3,X4))|~(sdtlseqdt0(X4,X3)))|X3=X4)),inference(variable_rename,[status(thm)],[128])).
% cnf(130,plain,(X1=X2|~sdtlseqdt0(X2,X1)|~sdtlseqdt0(X1,X2)|~aNaturalNumber0(X2)|~aNaturalNumber0(X1)),inference(split_conjunct,[status(thm)],[129])).
% fof(131, 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(132, plain,![X4]:![X5]:![X6]:(((~(aNaturalNumber0(X4))|~(aNaturalNumber0(X5)))|~(aNaturalNumber0(X6)))|((~(sdtlseqdt0(X4,X5))|~(sdtlseqdt0(X5,X6)))|sdtlseqdt0(X4,X6))),inference(variable_rename,[status(thm)],[131])).
% cnf(133,plain,(sdtlseqdt0(X1,X2)|~sdtlseqdt0(X3,X2)|~sdtlseqdt0(X1,X3)|~aNaturalNumber0(X2)|~aNaturalNumber0(X3)|~aNaturalNumber0(X1)),inference(split_conjunct,[status(thm)],[132])).
% fof(134, plain,![X1]:![X2]:((~(aNaturalNumber0(X1))|~(aNaturalNumber0(X2)))|(sdtlseqdt0(X1,X2)|(~(X2=X1)&sdtlseqdt0(X2,X1)))),inference(fof_nnf,[status(thm)],[21])).
% fof(135, plain,![X3]:![X4]:((~(aNaturalNumber0(X3))|~(aNaturalNumber0(X4)))|(sdtlseqdt0(X3,X4)|(~(X4=X3)&sdtlseqdt0(X4,X3)))),inference(variable_rename,[status(thm)],[134])).
% fof(136, 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)],[135])).
% cnf(137,plain,(sdtlseqdt0(X2,X1)|sdtlseqdt0(X1,X2)|~aNaturalNumber0(X1)|~aNaturalNumber0(X2)),inference(split_conjunct,[status(thm)],[136])).
% fof(147, plain,![X1]:![X2]:![X3]:(((~(aNaturalNumber0(X1))|~(aNaturalNumber0(X2)))|~(aNaturalNumber0(X3)))|(((X1=sz00|X2=X3)|~(sdtlseqdt0(X2,X3)))|(((~(sdtasdt0(X1,X2)=sdtasdt0(X1,X3))&sdtlseqdt0(sdtasdt0(X1,X2),sdtasdt0(X1,X3)))&~(sdtasdt0(X2,X1)=sdtasdt0(X3,X1)))&sdtlseqdt0(sdtasdt0(X2,X1),sdtasdt0(X3,X1))))),inference(fof_nnf,[status(thm)],[23])).
% fof(148, plain,![X4]:![X5]:![X6]:(((~(aNaturalNumber0(X4))|~(aNaturalNumber0(X5)))|~(aNaturalNumber0(X6)))|(((X4=sz00|X5=X6)|~(sdtlseqdt0(X5,X6)))|(((~(sdtasdt0(X4,X5)=sdtasdt0(X4,X6))&sdtlseqdt0(sdtasdt0(X4,X5),sdtasdt0(X4,X6)))&~(sdtasdt0(X5,X4)=sdtasdt0(X6,X4)))&sdtlseqdt0(sdtasdt0(X5,X4),sdtasdt0(X6,X4))))),inference(variable_rename,[status(thm)],[147])).
% fof(149, plain,![X4]:![X5]:![X6]:(((((~(sdtasdt0(X4,X5)=sdtasdt0(X4,X6))|((X4=sz00|X5=X6)|~(sdtlseqdt0(X5,X6))))|((~(aNaturalNumber0(X4))|~(aNaturalNumber0(X5)))|~(aNaturalNumber0(X6))))&((sdtlseqdt0(sdtasdt0(X4,X5),sdtasdt0(X4,X6))|((X4=sz00|X5=X6)|~(sdtlseqdt0(X5,X6))))|((~(aNaturalNumber0(X4))|~(aNaturalNumber0(X5)))|~(aNaturalNumber0(X6)))))&((~(sdtasdt0(X5,X4)=sdtasdt0(X6,X4))|((X4=sz00|X5=X6)|~(sdtlseqdt0(X5,X6))))|((~(aNaturalNumber0(X4))|~(aNaturalNumber0(X5)))|~(aNaturalNumber0(X6)))))&((sdtlseqdt0(sdtasdt0(X5,X4),sdtasdt0(X6,X4))|((X4=sz00|X5=X6)|~(sdtlseqdt0(X5,X6))))|((~(aNaturalNumber0(X4))|~(aNaturalNumber0(X5)))|~(aNaturalNumber0(X6))))),inference(distribute,[status(thm)],[148])).
% cnf(152,plain,(X2=X1|X3=sz00|sdtlseqdt0(sdtasdt0(X3,X2),sdtasdt0(X3,X1))|~aNaturalNumber0(X1)|~aNaturalNumber0(X2)|~aNaturalNumber0(X3)|~sdtlseqdt0(X2,X1)),inference(split_conjunct,[status(thm)],[149])).
% fof(159, plain,![X1]:![X2]:((~(aNaturalNumber0(X1))|~(aNaturalNumber0(X2)))|(X1=sz00|sdtlseqdt0(X2,sdtasdt0(X2,X1)))),inference(fof_nnf,[status(thm)],[25])).
% fof(160, plain,![X3]:![X4]:((~(aNaturalNumber0(X3))|~(aNaturalNumber0(X4)))|(X3=sz00|sdtlseqdt0(X4,sdtasdt0(X4,X3)))),inference(variable_rename,[status(thm)],[159])).
% cnf(161,plain,(sdtlseqdt0(X1,sdtasdt0(X1,X2))|X2=sz00|~aNaturalNumber0(X1)|~aNaturalNumber0(X2)),inference(split_conjunct,[status(thm)],[160])).
% fof(165, 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(166, 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)],[165])).
% fof(167, 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)],[166])).
% fof(168, 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)],[167])).
% fof(169, 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)],[168])).
% cnf(170,plain,(X1=sdtasdt0(X2,esk2_2(X2,X1))|~aNaturalNumber0(X1)|~aNaturalNumber0(X2)|~doDivides0(X2,X1)),inference(split_conjunct,[status(thm)],[169])).
% cnf(171,plain,(aNaturalNumber0(esk2_2(X2,X1))|~aNaturalNumber0(X1)|~aNaturalNumber0(X2)|~doDivides0(X2,X1)),inference(split_conjunct,[status(thm)],[169])).
% cnf(172,plain,(doDivides0(X2,X1)|~aNaturalNumber0(X1)|~aNaturalNumber0(X2)|X1!=sdtasdt0(X2,X3)|~aNaturalNumber0(X3)),inference(split_conjunct,[status(thm)],[169])).
% fof(173, 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(174, 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)],[173])).
% fof(175, 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)],[174])).
% fof(176, 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)],[175])).
% cnf(177,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)],[176])).
% cnf(178,plain,(X2=sz00|X1=sdtasdt0(X2,X3)|~aNaturalNumber0(X1)|~aNaturalNumber0(X2)|~doDivides0(X2,X1)|X3!=sdtsldt0(X1,X2)),inference(split_conjunct,[status(thm)],[176])).
% cnf(179,plain,(X2=sz00|aNaturalNumber0(X3)|~aNaturalNumber0(X1)|~aNaturalNumber0(X2)|~doDivides0(X2,X1)|X3!=sdtsldt0(X1,X2)),inference(split_conjunct,[status(thm)],[176])).
% fof(196, 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(197, 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)],[196])).
% fof(198, 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)],[197])).
% fof(199, 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)],[198])).
% fof(200, 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)],[199])).
% cnf(206,plain,(~aNaturalNumber0(X1)|~isPrime0(X1)|X1!=sz00),inference(split_conjunct,[status(thm)],[200])).
% cnf(215,plain,(aNaturalNumber0(xp)),inference(split_conjunct,[status(thm)],[36])).
% cnf(216,plain,(aNaturalNumber0(xm)),inference(split_conjunct,[status(thm)],[36])).
% cnf(217,plain,(aNaturalNumber0(xn)),inference(split_conjunct,[status(thm)],[36])).
% cnf(221,plain,(doDivides0(xp,sdtasdt0(xn,xm))),inference(split_conjunct,[status(thm)],[38])).
% cnf(222,plain,(isPrime0(xp)),inference(split_conjunct,[status(thm)],[38])).
% cnf(223,plain,(~sdtlseqdt0(xp,xn)),inference(split_conjunct,[status(thm)],[53])).
% cnf(225,plain,(sdtlseqdt0(xm,xp)),inference(split_conjunct,[status(thm)],[41])).
% cnf(226,plain,(xm!=xp),inference(split_conjunct,[status(thm)],[41])).
% cnf(227,plain,(sdtlseqdt0(xn,xp)),inference(split_conjunct,[status(thm)],[41])).
% cnf(229,plain,(xk=sdtsldt0(sdtasdt0(xn,xm),xp)),inference(split_conjunct,[status(thm)],[42])).
% fof(230, plain,(~(xk=sz00)&~(xk=sz10)),inference(fof_nnf,[status(thm)],[43])).
% cnf(232,plain,(xk!=sz00),inference(split_conjunct,[status(thm)],[230])).
% cnf(237,plain,(aNaturalNumber0(xr)),inference(split_conjunct,[status(thm)],[45])).
% cnf(238,plain,(doDivides0(xr,sdtasdt0(xn,xm))),inference(split_conjunct,[status(thm)],[46])).
% cnf(240,plain,(sdtlseqdt0(xp,xk)),inference(split_conjunct,[status(thm)],[47])).
% fof(241, 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)],[48])).
% fof(242, 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)],[241])).
% fof(243, 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)],[242])).
% fof(244, 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)],[243])).
% cnf(246,plain,(sdtpldt0(X2,X3)=X1|~aNaturalNumber0(X1)|~aNaturalNumber0(X2)|~sdtlseqdt0(X2,X1)|X3!=sdtmndt0(X1,X2)),inference(split_conjunct,[status(thm)],[244])).
% cnf(247,plain,(aNaturalNumber0(X3)|~aNaturalNumber0(X1)|~aNaturalNumber0(X2)|~sdtlseqdt0(X2,X1)|X3!=sdtmndt0(X1,X2)),inference(split_conjunct,[status(thm)],[244])).
% cnf(260,plain,(sdtsldt0(X1,X2)=X3|sz00=X2|sdtasdt0(X2,X3)!=X1|~aNaturalNumber0(X3)|~aNaturalNumber0(X2)|~aNaturalNumber0(X1)),inference(csr,[status(thm)],[177,172])).
% cnf(261,plain,(~isPrime0(sz00)|~aNaturalNumber0(sz00)),inference(er,[status(thm)],[206,theory(equality)])).
% cnf(262,plain,(~isPrime0(sz00)|$false),inference(rw,[status(thm)],[261,57,theory(equality)])).
% cnf(263,plain,(~isPrime0(sz00)),inference(cn,[status(thm)],[262,theory(equality)])).
% cnf(281,plain,(sdtsldt0(sdtasdt0(xm,xn),xp)=xk|~aNaturalNumber0(xn)|~aNaturalNumber0(xm)),inference(spm,[status(thm)],[229,79,theory(equality)])).
% cnf(282,plain,(doDivides0(xp,sdtasdt0(xm,xn))|~aNaturalNumber0(xn)|~aNaturalNumber0(xm)),inference(spm,[status(thm)],[221,79,theory(equality)])).
% cnf(297,plain,(sdtsldt0(sdtasdt0(xm,xn),xp)=xk|$false|~aNaturalNumber0(xm)),inference(rw,[status(thm)],[281,217,theory(equality)])).
% cnf(298,plain,(sdtsldt0(sdtasdt0(xm,xn),xp)=xk|$false|$false),inference(rw,[status(thm)],[297,216,theory(equality)])).
% cnf(299,plain,(sdtsldt0(sdtasdt0(xm,xn),xp)=xk),inference(cn,[status(thm)],[298,theory(equality)])).
% cnf(300,plain,(doDivides0(xp,sdtasdt0(xm,xn))|$false|~aNaturalNumber0(xm)),inference(rw,[status(thm)],[282,217,theory(equality)])).
% cnf(301,plain,(doDivides0(xp,sdtasdt0(xm,xn))|$false|$false),inference(rw,[status(thm)],[300,216,theory(equality)])).
% cnf(302,plain,(doDivides0(xp,sdtasdt0(xm,xn))),inference(cn,[status(thm)],[301,theory(equality)])).
% cnf(350,plain,(sz00=X1|sdtlseqdt0(sz00,sz00)|~aNaturalNumber0(X1)|~aNaturalNumber0(sz00)),inference(spm,[status(thm)],[161,91,theory(equality)])).
% cnf(356,plain,(sz00=X1|sdtlseqdt0(sz00,sz00)|~aNaturalNumber0(X1)|$false),inference(rw,[status(thm)],[350,57,theory(equality)])).
% cnf(357,plain,(sz00=X1|sdtlseqdt0(sz00,sz00)|~aNaturalNumber0(X1)),inference(cn,[status(thm)],[356,theory(equality)])).
% cnf(439,plain,(aNaturalNumber0(esk1_2(xm,xp))|~aNaturalNumber0(xm)|~aNaturalNumber0(xp)),inference(spm,[status(thm)],[123,225,theory(equality)])).
% cnf(440,plain,(aNaturalNumber0(esk1_2(xn,xp))|~aNaturalNumber0(xn)|~aNaturalNumber0(xp)),inference(spm,[status(thm)],[123,227,theory(equality)])).
% cnf(450,plain,(aNaturalNumber0(esk1_2(xm,xp))|$false|~aNaturalNumber0(xp)),inference(rw,[status(thm)],[439,216,theory(equality)])).
% cnf(451,plain,(aNaturalNumber0(esk1_2(xm,xp))|$false|$false),inference(rw,[status(thm)],[450,215,theory(equality)])).
% cnf(452,plain,(aNaturalNumber0(esk1_2(xm,xp))),inference(cn,[status(thm)],[451,theory(equality)])).
% cnf(453,plain,(aNaturalNumber0(esk1_2(xn,xp))|$false|~aNaturalNumber0(xp)),inference(rw,[status(thm)],[440,217,theory(equality)])).
% cnf(454,plain,(aNaturalNumber0(esk1_2(xn,xp))|$false|$false),inference(rw,[status(thm)],[453,215,theory(equality)])).
% cnf(455,plain,(aNaturalNumber0(esk1_2(xn,xp))),inference(cn,[status(thm)],[454,theory(equality)])).
% cnf(471,plain,(sdtasdt0(xr,esk2_2(xr,sdtasdt0(xn,xm)))=sdtasdt0(xn,xm)|~aNaturalNumber0(xr)|~aNaturalNumber0(sdtasdt0(xn,xm))),inference(spm,[status(thm)],[170,238,theory(equality)])).
% cnf(472,plain,(sdtasdt0(xp,esk2_2(xp,sdtasdt0(xn,xm)))=sdtasdt0(xn,xm)|~aNaturalNumber0(xp)|~aNaturalNumber0(sdtasdt0(xn,xm))),inference(spm,[status(thm)],[170,221,theory(equality)])).
% cnf(475,plain,(sdtasdt0(xr,esk2_2(xr,sdtasdt0(xn,xm)))=sdtasdt0(xn,xm)|$false|~aNaturalNumber0(sdtasdt0(xn,xm))),inference(rw,[status(thm)],[471,237,theory(equality)])).
% cnf(476,plain,(sdtasdt0(xr,esk2_2(xr,sdtasdt0(xn,xm)))=sdtasdt0(xn,xm)|~aNaturalNumber0(sdtasdt0(xn,xm))),inference(cn,[status(thm)],[475,theory(equality)])).
% cnf(477,plain,(sdtasdt0(xp,esk2_2(xp,sdtasdt0(xn,xm)))=sdtasdt0(xn,xm)|$false|~aNaturalNumber0(sdtasdt0(xn,xm))),inference(rw,[status(thm)],[472,215,theory(equality)])).
% cnf(478,plain,(sdtasdt0(xp,esk2_2(xp,sdtasdt0(xn,xm)))=sdtasdt0(xn,xm)|~aNaturalNumber0(sdtasdt0(xn,xm))),inference(cn,[status(thm)],[477,theory(equality)])).
% cnf(481,plain,(aNaturalNumber0(esk2_2(xr,sdtasdt0(xn,xm)))|~aNaturalNumber0(xr)|~aNaturalNumber0(sdtasdt0(xn,xm))),inference(spm,[status(thm)],[171,238,theory(equality)])).
% cnf(482,plain,(aNaturalNumber0(esk2_2(xp,sdtasdt0(xn,xm)))|~aNaturalNumber0(xp)|~aNaturalNumber0(sdtasdt0(xn,xm))),inference(spm,[status(thm)],[171,221,theory(equality)])).
% cnf(485,plain,(aNaturalNumber0(esk2_2(xr,sdtasdt0(xn,xm)))|$false|~aNaturalNumber0(sdtasdt0(xn,xm))),inference(rw,[status(thm)],[481,237,theory(equality)])).
% cnf(486,plain,(aNaturalNumber0(esk2_2(xr,sdtasdt0(xn,xm)))|~aNaturalNumber0(sdtasdt0(xn,xm))),inference(cn,[status(thm)],[485,theory(equality)])).
% cnf(487,plain,(aNaturalNumber0(esk2_2(xp,sdtasdt0(xn,xm)))|$false|~aNaturalNumber0(sdtasdt0(xn,xm))),inference(rw,[status(thm)],[482,215,theory(equality)])).
% cnf(488,plain,(aNaturalNumber0(esk2_2(xp,sdtasdt0(xn,xm)))|~aNaturalNumber0(sdtasdt0(xn,xm))),inference(cn,[status(thm)],[487,theory(equality)])).
% cnf(491,plain,(sdtpldt0(xm,esk1_2(xm,xp))=xp|~aNaturalNumber0(xm)|~aNaturalNumber0(xp)),inference(spm,[status(thm)],[122,225,theory(equality)])).
% cnf(492,plain,(sdtpldt0(xn,esk1_2(xn,xp))=xp|~aNaturalNumber0(xn)|~aNaturalNumber0(xp)),inference(spm,[status(thm)],[122,227,theory(equality)])).
% cnf(502,plain,(sdtpldt0(xm,esk1_2(xm,xp))=xp|$false|~aNaturalNumber0(xp)),inference(rw,[status(thm)],[491,216,theory(equality)])).
% cnf(503,plain,(sdtpldt0(xm,esk1_2(xm,xp))=xp|$false|$false),inference(rw,[status(thm)],[502,215,theory(equality)])).
% cnf(504,plain,(sdtpldt0(xm,esk1_2(xm,xp))=xp),inference(cn,[status(thm)],[503,theory(equality)])).
% cnf(505,plain,(sdtpldt0(xn,esk1_2(xn,xp))=xp|$false|~aNaturalNumber0(xp)),inference(rw,[status(thm)],[492,217,theory(equality)])).
% cnf(506,plain,(sdtpldt0(xn,esk1_2(xn,xp))=xp|$false|$false),inference(rw,[status(thm)],[505,215,theory(equality)])).
% cnf(507,plain,(sdtpldt0(xn,esk1_2(xn,xp))=xp),inference(cn,[status(thm)],[506,theory(equality)])).
% cnf(512,plain,(sdtasdt0(X1,sdtasdt0(X2,X3))=sdtasdt0(X2,sdtasdt0(X3,X1))|~aNaturalNumber0(sdtasdt0(X2,X3))|~aNaturalNumber0(X1)|~aNaturalNumber0(X3)|~aNaturalNumber0(X2)),inference(spm,[status(thm)],[79,82,theory(equality)])).
% cnf(513,plain,(sz00=X1|sdtlseqdt0(sdtasdt0(X2,X3),sdtasdt0(X2,sdtasdt0(X3,X1)))|~aNaturalNumber0(X1)|~aNaturalNumber0(sdtasdt0(X2,X3))|~aNaturalNumber0(X3)|~aNaturalNumber0(X2)),inference(spm,[status(thm)],[161,82,theory(equality)])).
% cnf(516,plain,(aNaturalNumber0(sdtasdt0(X1,sdtasdt0(X2,X3)))|~aNaturalNumber0(X3)|~aNaturalNumber0(sdtasdt0(X1,X2))|~aNaturalNumber0(X2)|~aNaturalNumber0(X1)),inference(spm,[status(thm)],[65,82,theory(equality)])).
% cnf(518,plain,(sdtasdt0(X1,X2)=sdtasdt0(sz10,sdtasdt0(X1,X2))|~aNaturalNumber0(X2)|~aNaturalNumber0(X1)|~aNaturalNumber0(sz10)),inference(spm,[status(thm)],[82,86,theory(equality)])).
% cnf(519,plain,(sdtasdt0(sz00,X2)=sdtasdt0(sz00,sdtasdt0(X1,X2))|~aNaturalNumber0(X2)|~aNaturalNumber0(X1)|~aNaturalNumber0(sz00)),inference(spm,[status(thm)],[82,91,theory(equality)])).
% cnf(528,plain,(sdtasdt0(X1,X2)=sdtasdt0(sz10,sdtasdt0(X1,X2))|~aNaturalNumber0(X2)|~aNaturalNumber0(X1)|$false),inference(rw,[status(thm)],[518,59,theory(equality)])).
% cnf(529,plain,(sdtasdt0(X1,X2)=sdtasdt0(sz10,sdtasdt0(X1,X2))|~aNaturalNumber0(X2)|~aNaturalNumber0(X1)),inference(cn,[status(thm)],[528,theory(equality)])).
% cnf(530,plain,(sdtasdt0(sz00,X2)=sdtasdt0(sz00,sdtasdt0(X1,X2))|~aNaturalNumber0(X2)|~aNaturalNumber0(X1)|$false),inference(rw,[status(thm)],[519,57,theory(equality)])).
% cnf(531,plain,(sdtasdt0(sz00,X2)=sdtasdt0(sz00,sdtasdt0(X1,X2))|~aNaturalNumber0(X2)|~aNaturalNumber0(X1)),inference(cn,[status(thm)],[530,theory(equality)])).
% cnf(538,plain,(sdtlseqdt0(X1,xp)|~sdtlseqdt0(X1,xm)|~aNaturalNumber0(xm)|~aNaturalNumber0(xp)|~aNaturalNumber0(X1)),inference(spm,[status(thm)],[133,225,theory(equality)])).
% cnf(539,plain,(sdtlseqdt0(X1,xp)|~sdtlseqdt0(X1,xn)|~aNaturalNumber0(xn)|~aNaturalNumber0(xp)|~aNaturalNumber0(X1)),inference(spm,[status(thm)],[133,227,theory(equality)])).
% cnf(541,plain,(sdtlseqdt0(X1,sdtasdt0(X2,X3))|sz00=X3|~sdtlseqdt0(X1,X2)|~aNaturalNumber0(X2)|~aNaturalNumber0(sdtasdt0(X2,X3))|~aNaturalNumber0(X1)|~aNaturalNumber0(X3)),inference(spm,[status(thm)],[133,161,theory(equality)])).
% cnf(549,plain,(sdtlseqdt0(X1,xp)|~sdtlseqdt0(X1,xm)|$false|~aNaturalNumber0(xp)|~aNaturalNumber0(X1)),inference(rw,[status(thm)],[538,216,theory(equality)])).
% cnf(550,plain,(sdtlseqdt0(X1,xp)|~sdtlseqdt0(X1,xm)|$false|$false|~aNaturalNumber0(X1)),inference(rw,[status(thm)],[549,215,theory(equality)])).
% cnf(551,plain,(sdtlseqdt0(X1,xp)|~sdtlseqdt0(X1,xm)|~aNaturalNumber0(X1)),inference(cn,[status(thm)],[550,theory(equality)])).
% cnf(552,plain,(sdtlseqdt0(X1,xp)|~sdtlseqdt0(X1,xn)|$false|~aNaturalNumber0(xp)|~aNaturalNumber0(X1)),inference(rw,[status(thm)],[539,217,theory(equality)])).
% cnf(553,plain,(sdtlseqdt0(X1,xp)|~sdtlseqdt0(X1,xn)|$false|$false|~aNaturalNumber0(X1)),inference(rw,[status(thm)],[552,215,theory(equality)])).
% cnf(554,plain,(sdtlseqdt0(X1,xp)|~sdtlseqdt0(X1,xn)|~aNaturalNumber0(X1)),inference(cn,[status(thm)],[553,theory(equality)])).
% cnf(561,plain,(sdtlseqdt0(sz00,X1)|X2!=X1|~aNaturalNumber0(X2)|~aNaturalNumber0(sz00)|~aNaturalNumber0(X1)),inference(spm,[status(thm)],[124,75,theory(equality)])).
% cnf(563,plain,(sdtlseqdt0(X1,X2)|sdtpldt0(X3,X1)!=X2|~aNaturalNumber0(X3)|~aNaturalNumber0(X1)|~aNaturalNumber0(X2)),inference(spm,[status(thm)],[124,68,theory(equality)])).
% cnf(565,plain,(sdtlseqdt0(sz00,X1)|X2!=X1|~aNaturalNumber0(X2)|$false|~aNaturalNumber0(X1)),inference(rw,[status(thm)],[561,57,theory(equality)])).
% cnf(566,plain,(sdtlseqdt0(sz00,X1)|X2!=X1|~aNaturalNumber0(X2)|~aNaturalNumber0(X1)),inference(cn,[status(thm)],[565,theory(equality)])).
% cnf(567,plain,(sdtlseqdt0(sz00,X1)|~aNaturalNumber0(X1)),inference(er,[status(thm)],[566,theory(equality)])).
% cnf(582,plain,(doDivides0(X1,sdtasdt0(X1,X2))|~aNaturalNumber0(X2)|~aNaturalNumber0(X1)|~aNaturalNumber0(sdtasdt0(X1,X2))),inference(er,[status(thm)],[172,theory(equality)])).
% cnf(600,plain,(aNaturalNumber0(sdtmndt0(X1,X2))|~sdtlseqdt0(X2,X1)|~aNaturalNumber0(X2)|~aNaturalNumber0(X1)),inference(er,[status(thm)],[247,theory(equality)])).
% cnf(657,plain,(sz00=X1|xp=xm|sdtlseqdt0(sdtasdt0(X1,xm),sdtasdt0(X1,xp))|~aNaturalNumber0(X1)|~aNaturalNumber0(xm)|~aNaturalNumber0(xp)),inference(spm,[status(thm)],[152,225,theory(equality)])).
% cnf(661,plain,(sz00=X1|X2=X3|sdtlseqdt0(sdtasdt0(X1,X3),sdtasdt0(X1,X2))|sdtlseqdt0(X2,X3)|~aNaturalNumber0(X1)|~aNaturalNumber0(X3)|~aNaturalNumber0(X2)),inference(spm,[status(thm)],[152,137,theory(equality)])).
% cnf(667,plain,(sz00=X1|xp=xm|sdtlseqdt0(sdtasdt0(X1,xm),sdtasdt0(X1,xp))|~aNaturalNumber0(X1)|$false|~aNaturalNumber0(xp)),inference(rw,[status(thm)],[657,216,theory(equality)])).
% cnf(668,plain,(sz00=X1|xp=xm|sdtlseqdt0(sdtasdt0(X1,xm),sdtasdt0(X1,xp))|~aNaturalNumber0(X1)|$false|$false),inference(rw,[status(thm)],[667,215,theory(equality)])).
% cnf(669,plain,(sz00=X1|xp=xm|sdtlseqdt0(sdtasdt0(X1,xm),sdtasdt0(X1,xp))|~aNaturalNumber0(X1)),inference(cn,[status(thm)],[668,theory(equality)])).
% cnf(670,plain,(sz00=X1|sdtlseqdt0(sdtasdt0(X1,xm),sdtasdt0(X1,xp))|~aNaturalNumber0(X1)),inference(sr,[status(thm)],[669,226,theory(equality)])).
% cnf(701,plain,(X1=sz00|sdtpldt0(X2,X1)!=X2|~aNaturalNumber0(X2)|~aNaturalNumber0(sz00)|~aNaturalNumber0(X1)),inference(spm,[status(thm)],[102,76,theory(equality)])).
% cnf(710,plain,(X1=sz00|sdtpldt0(X2,X1)!=X2|~aNaturalNumber0(X2)|$false|~aNaturalNumber0(X1)),inference(rw,[status(thm)],[701,57,theory(equality)])).
% cnf(711,plain,(X1=sz00|sdtpldt0(X2,X1)!=X2|~aNaturalNumber0(X2)|~aNaturalNumber0(X1)),inference(cn,[status(thm)],[710,theory(equality)])).
% cnf(727,plain,(sdtpldt0(X1,sdtmndt0(X2,X1))=X2|~sdtlseqdt0(X1,X2)|~aNaturalNumber0(X1)|~aNaturalNumber0(X2)),inference(er,[status(thm)],[246,theory(equality)])).
% cnf(745,plain,(sz00=X1|aNaturalNumber0(sdtsldt0(X2,X1))|~doDivides0(X1,X2)|~aNaturalNumber0(X1)|~aNaturalNumber0(X2)),inference(er,[status(thm)],[179,theory(equality)])).
% cnf(754,plain,(aNaturalNumber0(sdtasdt0(X1,sdtpldt0(X2,X3)))|~aNaturalNumber0(sdtasdt0(X1,X3))|~aNaturalNumber0(sdtasdt0(X1,X2))|~aNaturalNumber0(X1)|~aNaturalNumber0(X2)|~aNaturalNumber0(X3)),inference(spm,[status(thm)],[62,97,theory(equality)])).
% cnf(762,plain,(sdtpldt0(sdtasdt0(sz00,X1),sz00)=sdtasdt0(sz00,sdtpldt0(X1,X2))|~aNaturalNumber0(sz00)|~aNaturalNumber0(X1)|~aNaturalNumber0(X2)),inference(spm,[status(thm)],[97,91,theory(equality)])).
% cnf(763,plain,(sdtpldt0(sdtasdt0(X1,X2),X1)=sdtasdt0(X1,sdtpldt0(X2,sz10))|~aNaturalNumber0(X1)|~aNaturalNumber0(X2)|~aNaturalNumber0(sz10)),inference(spm,[status(thm)],[97,87,theory(equality)])).
% cnf(764,plain,(sdtpldt0(sdtasdt0(X1,X2),sz00)=sdtasdt0(X1,sdtpldt0(X2,sz00))|~aNaturalNumber0(X1)|~aNaturalNumber0(X2)|~aNaturalNumber0(sz00)),inference(spm,[status(thm)],[97,92,theory(equality)])).
% cnf(776,plain,(sdtpldt0(sdtasdt0(sz00,X1),sz00)=sdtasdt0(sz00,sdtpldt0(X1,X2))|$false|~aNaturalNumber0(X1)|~aNaturalNumber0(X2)),inference(rw,[status(thm)],[762,57,theory(equality)])).
% cnf(777,plain,(sdtpldt0(sdtasdt0(sz00,X1),sz00)=sdtasdt0(sz00,sdtpldt0(X1,X2))|~aNaturalNumber0(X1)|~aNaturalNumber0(X2)),inference(cn,[status(thm)],[776,theory(equality)])).
% cnf(778,plain,(sdtpldt0(sdtasdt0(X1,X2),X1)=sdtasdt0(X1,sdtpldt0(X2,sz10))|~aNaturalNumber0(X1)|~aNaturalNumber0(X2)|$false),inference(rw,[status(thm)],[763,59,theory(equality)])).
% cnf(779,plain,(sdtpldt0(sdtasdt0(X1,X2),X1)=sdtasdt0(X1,sdtpldt0(X2,sz10))|~aNaturalNumber0(X1)|~aNaturalNumber0(X2)),inference(cn,[status(thm)],[778,theory(equality)])).
% cnf(780,plain,(sdtpldt0(sdtasdt0(X1,X2),sz00)=sdtasdt0(X1,sdtpldt0(X2,sz00))|~aNaturalNumber0(X1)|~aNaturalNumber0(X2)|$false),inference(rw,[status(thm)],[764,57,theory(equality)])).
% cnf(781,plain,(sdtpldt0(sdtasdt0(X1,X2),sz00)=sdtasdt0(X1,sdtpldt0(X2,sz00))|~aNaturalNumber0(X1)|~aNaturalNumber0(X2)),inference(cn,[status(thm)],[780,theory(equality)])).
% cnf(831,plain,(sdtsldt0(sdtasdt0(X1,X2),X1)=X2|sz00=X1|~aNaturalNumber0(X2)|~aNaturalNumber0(X1)|~aNaturalNumber0(sdtasdt0(X1,X2))),inference(er,[status(thm)],[260,theory(equality)])).
% cnf(860,plain,(sdtasdt0(X1,sdtsldt0(X2,X1))=X2|sz00=X1|~doDivides0(X1,X2)|~aNaturalNumber0(X1)|~aNaturalNumber0(X2)),inference(er,[status(thm)],[178,theory(equality)])).
% cnf(1044,plain,(sdtasdt0(X1,xp)=sdtasdt0(X1,xm)|sz00=X1|~sdtlseqdt0(sdtasdt0(X1,xp),sdtasdt0(X1,xm))|~aNaturalNumber0(sdtasdt0(X1,xm))|~aNaturalNumber0(sdtasdt0(X1,xp))|~aNaturalNumber0(X1)),inference(spm,[status(thm)],[130,670,theory(equality)])).
% cnf(1058,plain,(sz00=sz10|sdtlseqdt0(xm,sdtasdt0(sz10,xp))|~aNaturalNumber0(sz10)|~aNaturalNumber0(xm)),inference(spm,[status(thm)],[670,86,theory(equality)])).
% cnf(1073,plain,(sz00=sz10|sdtlseqdt0(xm,sdtasdt0(sz10,xp))|$false|~aNaturalNumber0(xm)),inference(rw,[status(thm)],[1058,59,theory(equality)])).
% cnf(1074,plain,(sz00=sz10|sdtlseqdt0(xm,sdtasdt0(sz10,xp))|$false|$false),inference(rw,[status(thm)],[1073,216,theory(equality)])).
% cnf(1075,plain,(sz00=sz10|sdtlseqdt0(xm,sdtasdt0(sz10,xp))),inference(cn,[status(thm)],[1074,theory(equality)])).
% cnf(1076,plain,(sdtlseqdt0(xm,sdtasdt0(sz10,xp))),inference(sr,[status(thm)],[1075,58,theory(equality)])).
% cnf(1116,plain,(aNaturalNumber0(esk1_2(xm,sdtasdt0(sz10,xp)))|~aNaturalNumber0(xm)|~aNaturalNumber0(sdtasdt0(sz10,xp))),inference(spm,[status(thm)],[123,1076,theory(equality)])).
% cnf(1130,plain,(aNaturalNumber0(esk1_2(xm,sdtasdt0(sz10,xp)))|$false|~aNaturalNumber0(sdtasdt0(sz10,xp))),inference(rw,[status(thm)],[1116,216,theory(equality)])).
% cnf(1131,plain,(aNaturalNumber0(esk1_2(xm,sdtasdt0(sz10,xp)))|~aNaturalNumber0(sdtasdt0(sz10,xp))),inference(cn,[status(thm)],[1130,theory(equality)])).
% cnf(1613,plain,(sz00=xn|xp!=sz00|~aNaturalNumber0(xn)|~aNaturalNumber0(esk1_2(xn,xp))),inference(spm,[status(thm)],[113,507,theory(equality)])).
% cnf(1621,plain,(sdtlseqdt0(xn,X1)|xp!=X1|~aNaturalNumber0(esk1_2(xn,xp))|~aNaturalNumber0(xn)|~aNaturalNumber0(X1)),inference(spm,[status(thm)],[124,507,theory(equality)])).
% cnf(1626,plain,(sz00=xn|xp!=sz00|$false|~aNaturalNumber0(esk1_2(xn,xp))),inference(rw,[status(thm)],[1613,217,theory(equality)])).
% cnf(1627,plain,(sz00=xn|xp!=sz00|$false|$false),inference(rw,[status(thm)],[1626,455,theory(equality)])).
% cnf(1628,plain,(sz00=xn|xp!=sz00),inference(cn,[status(thm)],[1627,theory(equality)])).
% cnf(1651,plain,(sdtlseqdt0(xn,X1)|xp!=X1|$false|~aNaturalNumber0(xn)|~aNaturalNumber0(X1)),inference(rw,[status(thm)],[1621,455,theory(equality)])).
% cnf(1652,plain,(sdtlseqdt0(xn,X1)|xp!=X1|$false|$false|~aNaturalNumber0(X1)),inference(rw,[status(thm)],[1651,217,theory(equality)])).
% cnf(1653,plain,(sdtlseqdt0(xn,X1)|xp!=X1|~aNaturalNumber0(X1)),inference(cn,[status(thm)],[1652,theory(equality)])).
% cnf(1796,plain,(sdtlseqdt0(sz00,xp)|~aNaturalNumber0(sz00)|~aNaturalNumber0(xm)),inference(spm,[status(thm)],[551,567,theory(equality)])).
% cnf(1803,plain,(sdtlseqdt0(sz00,xp)|$false|~aNaturalNumber0(xm)),inference(rw,[status(thm)],[1796,57,theory(equality)])).
% cnf(1804,plain,(sdtlseqdt0(sz00,xp)|$false|$false),inference(rw,[status(thm)],[1803,216,theory(equality)])).
% cnf(1805,plain,(sdtlseqdt0(sz00,xp)),inference(cn,[status(thm)],[1804,theory(equality)])).
% cnf(1817,plain,(aNaturalNumber0(esk1_2(sz00,xp))|~aNaturalNumber0(sz00)|~aNaturalNumber0(xp)),inference(spm,[status(thm)],[123,1805,theory(equality)])).
% cnf(1818,plain,(sdtpldt0(sz00,esk1_2(sz00,xp))=xp|~aNaturalNumber0(sz00)|~aNaturalNumber0(xp)),inference(spm,[status(thm)],[122,1805,theory(equality)])).
% cnf(1834,plain,(aNaturalNumber0(esk1_2(sz00,xp))|$false|~aNaturalNumber0(xp)),inference(rw,[status(thm)],[1817,57,theory(equality)])).
% cnf(1835,plain,(aNaturalNumber0(esk1_2(sz00,xp))|$false|$false),inference(rw,[status(thm)],[1834,215,theory(equality)])).
% cnf(1836,plain,(aNaturalNumber0(esk1_2(sz00,xp))),inference(cn,[status(thm)],[1835,theory(equality)])).
% cnf(1837,plain,(sdtpldt0(sz00,esk1_2(sz00,xp))=xp|$false|~aNaturalNumber0(xp)),inference(rw,[status(thm)],[1818,57,theory(equality)])).
% cnf(1838,plain,(sdtpldt0(sz00,esk1_2(sz00,xp))=xp|$false|$false),inference(rw,[status(thm)],[1837,215,theory(equality)])).
% cnf(1839,plain,(sdtpldt0(sz00,esk1_2(sz00,xp))=xp),inference(cn,[status(thm)],[1838,theory(equality)])).
% cnf(1908,plain,(sdtlseqdt0(X1,xp)|sdtlseqdt0(xn,X1)|~aNaturalNumber0(X1)|~aNaturalNumber0(xn)),inference(spm,[status(thm)],[554,137,theory(equality)])).
% cnf(1920,plain,(sdtlseqdt0(X1,xp)|sdtlseqdt0(xn,X1)|~aNaturalNumber0(X1)|$false),inference(rw,[status(thm)],[1908,217,theory(equality)])).
% cnf(1921,plain,(sdtlseqdt0(X1,xp)|sdtlseqdt0(xn,X1)|~aNaturalNumber0(X1)),inference(cn,[status(thm)],[1920,theory(equality)])).
% cnf(2078,plain,(xp=esk1_2(sz00,xp)|~aNaturalNumber0(esk1_2(sz00,xp))),inference(spm,[status(thm)],[75,1839,theory(equality)])).
% cnf(2110,plain,(xp=esk1_2(sz00,xp)|$false),inference(rw,[status(thm)],[2078,1836,theory(equality)])).
% cnf(2111,plain,(xp=esk1_2(sz00,xp)),inference(cn,[status(thm)],[2110,theory(equality)])).
% cnf(2112,plain,(sdtpldt0(sz00,xp)=xp),inference(rw,[status(thm)],[1839,2111,theory(equality)])).
% cnf(2680,plain,(xp=X1|sdtlseqdt0(xn,X1)|~sdtlseqdt0(xp,X1)|~aNaturalNumber0(X1)|~aNaturalNumber0(xp)),inference(spm,[status(thm)],[130,1921,theory(equality)])).
% cnf(2701,plain,(xp=X1|sdtlseqdt0(xn,X1)|~sdtlseqdt0(xp,X1)|~aNaturalNumber0(X1)|$false),inference(rw,[status(thm)],[2680,215,theory(equality)])).
% cnf(2702,plain,(xp=X1|sdtlseqdt0(xn,X1)|~sdtlseqdt0(xp,X1)|~aNaturalNumber0(X1)),inference(cn,[status(thm)],[2701,theory(equality)])).
% cnf(3022,plain,(sz00=esk1_2(xm,xp)|sdtlseqdt0(sz00,sz00)),inference(spm,[status(thm)],[357,452,theory(equality)])).
% cnf(3099,plain,(sdtpldt0(xm,sz00)=xp|sdtlseqdt0(sz00,sz00)),inference(spm,[status(thm)],[504,3022,theory(equality)])).
% cnf(3248,plain,(xp=xm|sdtlseqdt0(sz00,sz00)|~aNaturalNumber0(xm)),inference(spm,[status(thm)],[76,3099,theory(equality)])).
% cnf(3289,plain,(xp=xm|sdtlseqdt0(sz00,sz00)|$false),inference(rw,[status(thm)],[3248,216,theory(equality)])).
% cnf(3290,plain,(xp=xm|sdtlseqdt0(sz00,sz00)),inference(cn,[status(thm)],[3289,theory(equality)])).
% cnf(3291,plain,(sdtlseqdt0(sz00,sz00)),inference(sr,[status(thm)],[3290,226,theory(equality)])).
% cnf(3297,plain,(aNaturalNumber0(esk1_2(sz00,sz00))|~aNaturalNumber0(sz00)),inference(spm,[status(thm)],[123,3291,theory(equality)])).
% cnf(3298,plain,(sdtpldt0(sz00,esk1_2(sz00,sz00))=sz00|~aNaturalNumber0(sz00)),inference(spm,[status(thm)],[122,3291,theory(equality)])).
% cnf(3309,plain,(aNaturalNumber0(esk1_2(sz00,sz00))|$false),inference(rw,[status(thm)],[3297,57,theory(equality)])).
% cnf(3310,plain,(aNaturalNumber0(esk1_2(sz00,sz00))),inference(cn,[status(thm)],[3309,theory(equality)])).
% cnf(3311,plain,(sdtpldt0(sz00,esk1_2(sz00,sz00))=sz00|$false),inference(rw,[status(thm)],[3298,57,theory(equality)])).
% cnf(3312,plain,(sdtpldt0(sz00,esk1_2(sz00,sz00))=sz00),inference(cn,[status(thm)],[3311,theory(equality)])).
% cnf(3320,plain,(sz00=esk1_2(sz00,sz00)|~aNaturalNumber0(sz00)|~aNaturalNumber0(esk1_2(sz00,sz00))),inference(spm,[status(thm)],[112,3312,theory(equality)])).
% cnf(3331,plain,(sz00=esk1_2(sz00,sz00)|$false|~aNaturalNumber0(esk1_2(sz00,sz00))),inference(rw,[status(thm)],[3320,57,theory(equality)])).
% cnf(3332,plain,(sz00=esk1_2(sz00,sz00)|$false|$false),inference(rw,[status(thm)],[3331,3310,theory(equality)])).
% cnf(3333,plain,(sz00=esk1_2(sz00,sz00)),inference(cn,[status(thm)],[3332,theory(equality)])).
% cnf(3367,plain,(sdtpldt0(sz00,sz00)=sz00),inference(rw,[status(thm)],[3312,3333,theory(equality)])).
% cnf(3569,plain,(sdtlseqdt0(xn,X1)|~sdtlseqdt0(xp,X1)|~aNaturalNumber0(X1)),inference(csr,[status(thm)],[2702,1653])).
% cnf(3575,plain,(sdtlseqdt0(xn,xk)|~aNaturalNumber0(xk)),inference(spm,[status(thm)],[3569,240,theory(equality)])).
% cnf(4369,plain,(sdtasdt0(xr,esk2_2(xr,sdtasdt0(xn,xm)))=sdtasdt0(xn,xm)|~aNaturalNumber0(xm)|~aNaturalNumber0(xn)),inference(spm,[status(thm)],[476,65,theory(equality)])).
% cnf(4376,plain,(sdtasdt0(xr,esk2_2(xr,sdtasdt0(xn,xm)))=sdtasdt0(xn,xm)|$false|~aNaturalNumber0(xn)),inference(rw,[status(thm)],[4369,216,theory(equality)])).
% cnf(4377,plain,(sdtasdt0(xr,esk2_2(xr,sdtasdt0(xn,xm)))=sdtasdt0(xn,xm)|$false|$false),inference(rw,[status(thm)],[4376,217,theory(equality)])).
% cnf(4378,plain,(sdtasdt0(xr,esk2_2(xr,sdtasdt0(xn,xm)))=sdtasdt0(xn,xm)),inference(cn,[status(thm)],[4377,theory(equality)])).
% cnf(4434,plain,(sdtasdt0(xr,esk2_2(xr,sdtasdt0(xm,xn)))=sdtasdt0(xm,xn)|~aNaturalNumber0(xn)|~aNaturalNumber0(xm)),inference(spm,[status(thm)],[4378,79,theory(equality)])).
% cnf(4475,plain,(sdtasdt0(xr,esk2_2(xr,sdtasdt0(xm,xn)))=sdtasdt0(xm,xn)|$false|~aNaturalNumber0(xm)),inference(rw,[status(thm)],[4434,217,theory(equality)])).
% cnf(4476,plain,(sdtasdt0(xr,esk2_2(xr,sdtasdt0(xm,xn)))=sdtasdt0(xm,xn)|$false|$false),inference(rw,[status(thm)],[4475,216,theory(equality)])).
% cnf(4477,plain,(sdtasdt0(xr,esk2_2(xr,sdtasdt0(xm,xn)))=sdtasdt0(xm,xn)),inference(cn,[status(thm)],[4476,theory(equality)])).
% cnf(4533,plain,(sdtasdt0(xp,esk2_2(xp,sdtasdt0(xn,xm)))=sdtasdt0(xn,xm)|~aNaturalNumber0(xm)|~aNaturalNumber0(xn)),inference(spm,[status(thm)],[478,65,theory(equality)])).
% cnf(4540,plain,(sdtasdt0(xp,esk2_2(xp,sdtasdt0(xn,xm)))=sdtasdt0(xn,xm)|$false|~aNaturalNumber0(xn)),inference(rw,[status(thm)],[4533,216,theory(equality)])).
% cnf(4541,plain,(sdtasdt0(xp,esk2_2(xp,sdtasdt0(xn,xm)))=sdtasdt0(xn,xm)|$false|$false),inference(rw,[status(thm)],[4540,217,theory(equality)])).
% cnf(4542,plain,(sdtasdt0(xp,esk2_2(xp,sdtasdt0(xn,xm)))=sdtasdt0(xn,xm)),inference(cn,[status(thm)],[4541,theory(equality)])).
% cnf(4918,plain,(aNaturalNumber0(esk2_2(xr,sdtasdt0(xn,xm)))|~aNaturalNumber0(xm)|~aNaturalNumber0(xn)),inference(spm,[status(thm)],[486,65,theory(equality)])).
% cnf(4925,plain,(aNaturalNumber0(esk2_2(xr,sdtasdt0(xn,xm)))|$false|~aNaturalNumber0(xn)),inference(rw,[status(thm)],[4918,216,theory(equality)])).
% cnf(4926,plain,(aNaturalNumber0(esk2_2(xr,sdtasdt0(xn,xm)))|$false|$false),inference(rw,[status(thm)],[4925,217,theory(equality)])).
% cnf(4927,plain,(aNaturalNumber0(esk2_2(xr,sdtasdt0(xn,xm)))),inference(cn,[status(thm)],[4926,theory(equality)])).
% cnf(5012,plain,(aNaturalNumber0(esk2_2(xr,sdtasdt0(xm,xn)))|~aNaturalNumber0(xn)|~aNaturalNumber0(xm)),inference(spm,[status(thm)],[4927,79,theory(equality)])).
% cnf(5015,plain,(aNaturalNumber0(esk2_2(xr,sdtasdt0(xm,xn)))|$false|~aNaturalNumber0(xm)),inference(rw,[status(thm)],[5012,217,theory(equality)])).
% cnf(5016,plain,(aNaturalNumber0(esk2_2(xr,sdtasdt0(xm,xn)))|$false|$false),inference(rw,[status(thm)],[5015,216,theory(equality)])).
% cnf(5017,plain,(aNaturalNumber0(esk2_2(xr,sdtasdt0(xm,xn)))),inference(cn,[status(thm)],[5016,theory(equality)])).
% cnf(5098,plain,(aNaturalNumber0(esk2_2(xp,sdtasdt0(xn,xm)))|~aNaturalNumber0(xm)|~aNaturalNumber0(xn)),inference(spm,[status(thm)],[488,65,theory(equality)])).
% cnf(5105,plain,(aNaturalNumber0(esk2_2(xp,sdtasdt0(xn,xm)))|$false|~aNaturalNumber0(xn)),inference(rw,[status(thm)],[5098,216,theory(equality)])).
% cnf(5106,plain,(aNaturalNumber0(esk2_2(xp,sdtasdt0(xn,xm)))|$false|$false),inference(rw,[status(thm)],[5105,217,theory(equality)])).
% cnf(5107,plain,(aNaturalNumber0(esk2_2(xp,sdtasdt0(xn,xm)))),inference(cn,[status(thm)],[5106,theory(equality)])).
% cnf(5283,plain,(aNaturalNumber0(esk1_2(xm,sdtasdt0(sz10,xp)))|~aNaturalNumber0(xp)|~aNaturalNumber0(sz10)),inference(spm,[status(thm)],[1131,65,theory(equality)])).
% cnf(5287,plain,(aNaturalNumber0(esk1_2(xm,sdtasdt0(sz10,xp)))|$false|~aNaturalNumber0(sz10)),inference(rw,[status(thm)],[5283,215,theory(equality)])).
% cnf(5288,plain,(aNaturalNumber0(esk1_2(xm,sdtasdt0(sz10,xp)))|$false|$false),inference(rw,[status(thm)],[5287,59,theory(equality)])).
% cnf(5289,plain,(aNaturalNumber0(esk1_2(xm,sdtasdt0(sz10,xp)))),inference(cn,[status(thm)],[5288,theory(equality)])).
% cnf(5730,plain,(sdtasdt0(X1,sdtasdt0(X2,X3))=sdtasdt0(X2,sdtasdt0(X3,X1))|~aNaturalNumber0(X1)|~aNaturalNumber0(X3)|~aNaturalNumber0(X2)),inference(csr,[status(thm)],[512,65])).
% cnf(5959,plain,(aNaturalNumber0(sdtasdt0(xm,xn))|~aNaturalNumber0(esk2_2(xr,sdtasdt0(xm,xn)))|~aNaturalNumber0(xr)),inference(spm,[status(thm)],[65,4477,theory(equality)])).
% cnf(5989,plain,(aNaturalNumber0(sdtasdt0(xm,xn))|$false|~aNaturalNumber0(xr)),inference(rw,[status(thm)],[5959,5017,theory(equality)])).
% cnf(5990,plain,(aNaturalNumber0(sdtasdt0(xm,xn))|$false|$false),inference(rw,[status(thm)],[5989,237,theory(equality)])).
% cnf(5991,plain,(aNaturalNumber0(sdtasdt0(xm,xn))),inference(cn,[status(thm)],[5990,theory(equality)])).
% cnf(6043,plain,(sz00=X1|sdtlseqdt0(sdtasdt0(X2,X3),sdtasdt0(X2,sdtasdt0(X3,X1)))|~aNaturalNumber0(X3)|~aNaturalNumber0(X2)|~aNaturalNumber0(X1)),inference(csr,[status(thm)],[513,65])).
% cnf(6067,plain,(sz00=sz10|sdtlseqdt0(sdtasdt0(X1,X2),sdtasdt0(X1,X2))|~aNaturalNumber0(sz10)|~aNaturalNumber0(X2)|~aNaturalNumber0(X1)),inference(spm,[status(thm)],[6043,87,theory(equality)])).
% cnf(6114,plain,(sz00=sz10|sdtlseqdt0(sdtasdt0(X1,X2),sdtasdt0(X1,X2))|$false|~aNaturalNumber0(X2)|~aNaturalNumber0(X1)),inference(rw,[status(thm)],[6067,59,theory(equality)])).
% cnf(6115,plain,(sz00=sz10|sdtlseqdt0(sdtasdt0(X1,X2),sdtasdt0(X1,X2))|~aNaturalNumber0(X2)|~aNaturalNumber0(X1)),inference(cn,[status(thm)],[6114,theory(equality)])).
% cnf(6116,plain,(sdtlseqdt0(sdtasdt0(X1,X2),sdtasdt0(X1,X2))|~aNaturalNumber0(X2)|~aNaturalNumber0(X1)),inference(sr,[status(thm)],[6115,58,theory(equality)])).
% cnf(6150,plain,(sdtlseqdt0(sdtasdt0(xn,xm),sdtasdt0(xn,xm))|~aNaturalNumber0(esk2_2(xr,sdtasdt0(xn,xm)))|~aNaturalNumber0(xr)),inference(spm,[status(thm)],[6116,4378,theory(equality)])).
% cnf(6151,plain,(sdtlseqdt0(sdtasdt0(xm,xn),sdtasdt0(xm,xn))|~aNaturalNumber0(esk2_2(xr,sdtasdt0(xm,xn)))|~aNaturalNumber0(xr)),inference(spm,[status(thm)],[6116,4477,theory(equality)])).
% cnf(6185,plain,(sdtlseqdt0(sdtasdt0(xn,xm),sdtasdt0(xn,xm))|$false|~aNaturalNumber0(xr)),inference(rw,[status(thm)],[6150,4927,theory(equality)])).
% cnf(6186,plain,(sdtlseqdt0(sdtasdt0(xn,xm),sdtasdt0(xn,xm))|$false|$false),inference(rw,[status(thm)],[6185,237,theory(equality)])).
% cnf(6187,plain,(sdtlseqdt0(sdtasdt0(xn,xm),sdtasdt0(xn,xm))),inference(cn,[status(thm)],[6186,theory(equality)])).
% cnf(6188,plain,(sdtlseqdt0(sdtasdt0(xm,xn),sdtasdt0(xm,xn))|$false|~aNaturalNumber0(xr)),inference(rw,[status(thm)],[6151,5017,theory(equality)])).
% cnf(6189,plain,(sdtlseqdt0(sdtasdt0(xm,xn),sdtasdt0(xm,xn))|$false|$false),inference(rw,[status(thm)],[6188,237,theory(equality)])).
% cnf(6190,plain,(sdtlseqdt0(sdtasdt0(xm,xn),sdtasdt0(xm,xn))),inference(cn,[status(thm)],[6189,theory(equality)])).
% cnf(6254,plain,(aNaturalNumber0(esk1_2(sdtasdt0(xm,xn),sdtasdt0(xm,xn)))|~aNaturalNumber0(sdtasdt0(xm,xn))),inference(spm,[status(thm)],[123,6190,theory(equality)])).
% cnf(6255,plain,(sdtpldt0(sdtasdt0(xm,xn),esk1_2(sdtasdt0(xm,xn),sdtasdt0(xm,xn)))=sdtasdt0(xm,xn)|~aNaturalNumber0(sdtasdt0(xm,xn))),inference(spm,[status(thm)],[122,6190,theory(equality)])).
% cnf(6257,plain,(aNaturalNumber0(esk1_2(sdtasdt0(xm,xn),sdtasdt0(xm,xn)))|$false),inference(rw,[status(thm)],[6254,5991,theory(equality)])).
% cnf(6258,plain,(aNaturalNumber0(esk1_2(sdtasdt0(xm,xn),sdtasdt0(xm,xn)))),inference(cn,[status(thm)],[6257,theory(equality)])).
% cnf(6259,plain,(sdtpldt0(sdtasdt0(xm,xn),esk1_2(sdtasdt0(xm,xn),sdtasdt0(xm,xn)))=sdtasdt0(xm,xn)|$false),inference(rw,[status(thm)],[6255,5991,theory(equality)])).
% cnf(6260,plain,(sdtpldt0(sdtasdt0(xm,xn),esk1_2(sdtasdt0(xm,xn),sdtasdt0(xm,xn)))=sdtasdt0(xm,xn)),inference(cn,[status(thm)],[6259,theory(equality)])).
% cnf(6423,plain,(aNaturalNumber0(sdtasdt0(X1,sdtasdt0(X2,X3)))|~aNaturalNumber0(X2)|~aNaturalNumber0(X1)|~aNaturalNumber0(X3)),inference(csr,[status(thm)],[516,65])).
% cnf(6425,plain,(aNaturalNumber0(sdtasdt0(X1,sdtasdt0(xn,xm)))|~aNaturalNumber0(esk2_2(xr,sdtasdt0(xn,xm)))|~aNaturalNumber0(xr)|~aNaturalNumber0(X1)),inference(spm,[status(thm)],[6423,4378,theory(equality)])).
% cnf(6451,plain,(aNaturalNumber0(sdtasdt0(X1,sdtasdt0(xn,xm)))|$false|~aNaturalNumber0(xr)|~aNaturalNumber0(X1)),inference(rw,[status(thm)],[6425,4927,theory(equality)])).
% cnf(6452,plain,(aNaturalNumber0(sdtasdt0(X1,sdtasdt0(xn,xm)))|$false|$false|~aNaturalNumber0(X1)),inference(rw,[status(thm)],[6451,237,theory(equality)])).
% cnf(6453,plain,(aNaturalNumber0(sdtasdt0(X1,sdtasdt0(xn,xm)))|~aNaturalNumber0(X1)),inference(cn,[status(thm)],[6452,theory(equality)])).
% cnf(6712,plain,(aNaturalNumber0(sdtasdt0(xn,xm))|~aNaturalNumber0(sz10)|~aNaturalNumber0(xm)|~aNaturalNumber0(xn)),inference(spm,[status(thm)],[6453,529,theory(equality)])).
% cnf(6724,plain,(sdtasdt0(sz10,sdtasdt0(xm,xn))=sdtasdt0(xm,xn)|~aNaturalNumber0(esk2_2(xr,sdtasdt0(xm,xn)))|~aNaturalNumber0(xr)),inference(spm,[status(thm)],[529,4477,theory(equality)])).
% cnf(6731,plain,(sdtasdt0(sz10,sz00)=sz00|~aNaturalNumber0(X1)|~aNaturalNumber0(sz00)),inference(spm,[status(thm)],[529,91,theory(equality)])).
% cnf(6808,plain,(aNaturalNumber0(sdtasdt0(xn,xm))|$false|~aNaturalNumber0(xm)|~aNaturalNumber0(xn)),inference(rw,[status(thm)],[6712,59,theory(equality)])).
% cnf(6809,plain,(aNaturalNumber0(sdtasdt0(xn,xm))|$false|$false|~aNaturalNumber0(xn)),inference(rw,[status(thm)],[6808,216,theory(equality)])).
% cnf(6810,plain,(aNaturalNumber0(sdtasdt0(xn,xm))|$false|$false|$false),inference(rw,[status(thm)],[6809,217,theory(equality)])).
% cnf(6811,plain,(aNaturalNumber0(sdtasdt0(xn,xm))),inference(cn,[status(thm)],[6810,theory(equality)])).
% cnf(6832,plain,(sdtasdt0(sz10,sdtasdt0(xm,xn))=sdtasdt0(xm,xn)|$false|~aNaturalNumber0(xr)),inference(rw,[status(thm)],[6724,5017,theory(equality)])).
% cnf(6833,plain,(sdtasdt0(sz10,sdtasdt0(xm,xn))=sdtasdt0(xm,xn)|$false|$false),inference(rw,[status(thm)],[6832,237,theory(equality)])).
% cnf(6834,plain,(sdtasdt0(sz10,sdtasdt0(xm,xn))=sdtasdt0(xm,xn)),inference(cn,[status(thm)],[6833,theory(equality)])).
% cnf(6845,plain,(sdtasdt0(sz10,sz00)=sz00|~aNaturalNumber0(X1)|$false),inference(rw,[status(thm)],[6731,57,theory(equality)])).
% cnf(6846,plain,(sdtasdt0(sz10,sz00)=sz00|~aNaturalNumber0(X1)),inference(cn,[status(thm)],[6845,theory(equality)])).
% cnf(8145,plain,(sdtasdt0(sz10,sz00)=sz00),inference(spm,[status(thm)],[6846,5289,theory(equality)])).
% cnf(8251,plain,(sz00=X3|sdtlseqdt0(X1,sdtasdt0(X2,X3))|~sdtlseqdt0(X1,X2)|~aNaturalNumber0(X1)|~aNaturalNumber0(X3)|~aNaturalNumber0(X2)),inference(csr,[status(thm)],[541,65])).
% cnf(8474,plain,(sdtasdt0(sz00,sz10)=sz00|~aNaturalNumber0(sz10)|~aNaturalNumber0(sz00)),inference(spm,[status(thm)],[79,8145,theory(equality)])).
% cnf(8487,plain,(sdtasdt0(X1,sz00)=sdtasdt0(sz10,sdtasdt0(sz00,X1))|~aNaturalNumber0(X1)|~aNaturalNumber0(sz00)|~aNaturalNumber0(sz10)),inference(spm,[status(thm)],[5730,8145,theory(equality)])).
% cnf(8498,plain,(sdtasdt0(sz00,sz10)=sz00|$false|~aNaturalNumber0(sz00)),inference(rw,[status(thm)],[8474,59,theory(equality)])).
% cnf(8499,plain,(sdtasdt0(sz00,sz10)=sz00|$false|$false),inference(rw,[status(thm)],[8498,57,theory(equality)])).
% cnf(8500,plain,(sdtasdt0(sz00,sz10)=sz00),inference(cn,[status(thm)],[8499,theory(equality)])).
% cnf(8543,plain,(sdtasdt0(X1,sz00)=sdtasdt0(sz10,sdtasdt0(sz00,X1))|~aNaturalNumber0(X1)|$false|~aNaturalNumber0(sz10)),inference(rw,[status(thm)],[8487,57,theory(equality)])).
% cnf(8544,plain,(sdtasdt0(X1,sz00)=sdtasdt0(sz10,sdtasdt0(sz00,X1))|~aNaturalNumber0(X1)|$false|$false),inference(rw,[status(thm)],[8543,59,theory(equality)])).
% cnf(8545,plain,(sdtasdt0(X1,sz00)=sdtasdt0(sz10,sdtasdt0(sz00,X1))|~aNaturalNumber0(X1)),inference(cn,[status(thm)],[8544,theory(equality)])).
% cnf(8588,plain,(sdtasdt0(X1,sz00)=sdtasdt0(sz00,sdtasdt0(sz10,X1))|~aNaturalNumber0(X1)|~aNaturalNumber0(sz10)|~aNaturalNumber0(sz00)),inference(spm,[status(thm)],[5730,8500,theory(equality)])).
% cnf(8648,plain,(sdtasdt0(X1,sz00)=sdtasdt0(sz00,sdtasdt0(sz10,X1))|~aNaturalNumber0(X1)|$false|~aNaturalNumber0(sz00)),inference(rw,[status(thm)],[8588,59,theory(equality)])).
% cnf(8649,plain,(sdtasdt0(X1,sz00)=sdtasdt0(sz00,sdtasdt0(sz10,X1))|~aNaturalNumber0(X1)|$false|$false),inference(rw,[status(thm)],[8648,57,theory(equality)])).
% cnf(8650,plain,(sdtasdt0(X1,sz00)=sdtasdt0(sz00,sdtasdt0(sz10,X1))|~aNaturalNumber0(X1)),inference(cn,[status(thm)],[8649,theory(equality)])).
% cnf(9713,plain,(sdtlseqdt0(xp,X1)|xp!=X1|~aNaturalNumber0(sz00)|~aNaturalNumber0(xp)|~aNaturalNumber0(X1)),inference(spm,[status(thm)],[563,2112,theory(equality)])).
% cnf(9738,plain,(sdtlseqdt0(xp,X1)|xp!=X1|$false|~aNaturalNumber0(xp)|~aNaturalNumber0(X1)),inference(rw,[status(thm)],[9713,57,theory(equality)])).
% cnf(9739,plain,(sdtlseqdt0(xp,X1)|xp!=X1|$false|$false|~aNaturalNumber0(X1)),inference(rw,[status(thm)],[9738,215,theory(equality)])).
% cnf(9740,plain,(sdtlseqdt0(xp,X1)|xp!=X1|~aNaturalNumber0(X1)),inference(cn,[status(thm)],[9739,theory(equality)])).
% cnf(9756,plain,(sdtlseqdt0(xp,xp)|~aNaturalNumber0(xp)),inference(er,[status(thm)],[9740,theory(equality)])).
% cnf(9757,plain,(sdtlseqdt0(xp,xp)|$false),inference(rw,[status(thm)],[9756,215,theory(equality)])).
% cnf(9758,plain,(sdtlseqdt0(xp,xp)),inference(cn,[status(thm)],[9757,theory(equality)])).
% cnf(9759,plain,(aNaturalNumber0(esk1_2(xp,xp))|~aNaturalNumber0(xp)),inference(spm,[status(thm)],[123,9758,theory(equality)])).
% cnf(9760,plain,(sdtpldt0(xp,esk1_2(xp,xp))=xp|~aNaturalNumber0(xp)),inference(spm,[status(thm)],[122,9758,theory(equality)])).
% cnf(9763,plain,(sz00=X1|sdtlseqdt0(xp,sdtasdt0(xp,X1))|~aNaturalNumber0(xp)|~aNaturalNumber0(X1)),inference(spm,[status(thm)],[8251,9758,theory(equality)])).
% cnf(9766,plain,(aNaturalNumber0(esk1_2(xp,xp))|$false),inference(rw,[status(thm)],[9759,215,theory(equality)])).
% cnf(9767,plain,(aNaturalNumber0(esk1_2(xp,xp))),inference(cn,[status(thm)],[9766,theory(equality)])).
% cnf(9768,plain,(sdtpldt0(xp,esk1_2(xp,xp))=xp|$false),inference(rw,[status(thm)],[9760,215,theory(equality)])).
% cnf(9769,plain,(sdtpldt0(xp,esk1_2(xp,xp))=xp),inference(cn,[status(thm)],[9768,theory(equality)])).
% cnf(9774,plain,(sz00=X1|sdtlseqdt0(xp,sdtasdt0(xp,X1))|$false|~aNaturalNumber0(X1)),inference(rw,[status(thm)],[9763,215,theory(equality)])).
% cnf(9775,plain,(sz00=X1|sdtlseqdt0(xp,sdtasdt0(xp,X1))|~aNaturalNumber0(X1)),inference(cn,[status(thm)],[9774,theory(equality)])).
% cnf(10115,plain,(doDivides0(X1,sdtasdt0(X1,X2))|~aNaturalNumber0(X2)|~aNaturalNumber0(X1)),inference(csr,[status(thm)],[582,65])).
% cnf(11749,plain,(aNaturalNumber0(sdtmndt0(sdtasdt0(xn,xm),sdtasdt0(xn,xm)))|~aNaturalNumber0(sdtasdt0(xn,xm))),inference(spm,[status(thm)],[600,6187,theory(equality)])).
% cnf(11894,plain,(aNaturalNumber0(sdtmndt0(sdtasdt0(xn,xm),sdtasdt0(xn,xm)))|$false),inference(rw,[status(thm)],[11749,6811,theory(equality)])).
% cnf(11895,plain,(aNaturalNumber0(sdtmndt0(sdtasdt0(xn,xm),sdtasdt0(xn,xm)))),inference(cn,[status(thm)],[11894,theory(equality)])).
% cnf(15031,plain,(sdtasdt0(sz00,sdtasdt0(xm,xn))=sdtasdt0(sdtasdt0(xm,xn),sz00)|~aNaturalNumber0(sdtasdt0(xm,xn))),inference(spm,[status(thm)],[8650,6834,theory(equality)])).
% cnf(15187,plain,(sdtasdt0(sz00,sdtasdt0(xm,xn))=sdtasdt0(sdtasdt0(xm,xn),sz00)|$false),inference(rw,[status(thm)],[15031,5991,theory(equality)])).
% cnf(15188,plain,(sdtasdt0(sz00,sdtasdt0(xm,xn))=sdtasdt0(sdtasdt0(xm,xn),sz00)),inference(cn,[status(thm)],[15187,theory(equality)])).
% cnf(15218,plain,(sdtasdt0(sz00,sdtasdt0(xm,xn))=sz00|~aNaturalNumber0(sdtasdt0(xm,xn))),inference(spm,[status(thm)],[92,15188,theory(equality)])).
% cnf(15315,plain,(sdtasdt0(sz00,sdtasdt0(xm,xn))=sz00|$false),inference(rw,[status(thm)],[15218,5991,theory(equality)])).
% cnf(15316,plain,(sdtasdt0(sz00,sdtasdt0(xm,xn))=sz00),inference(cn,[status(thm)],[15315,theory(equality)])).
% cnf(15398,plain,(sz00=sdtasdt0(sz00,xn)|~aNaturalNumber0(xn)|~aNaturalNumber0(xm)),inference(spm,[status(thm)],[531,15316,theory(equality)])).
% cnf(15399,plain,(sdtasdt0(sdtasdt0(xm,xn),sz00)=sz00),inference(rw,[status(thm)],[15188,15316,theory(equality)])).
% cnf(15559,plain,(sz00=sdtasdt0(sz00,xn)|$false|~aNaturalNumber0(xm)),inference(rw,[status(thm)],[15398,217,theory(equality)])).
% cnf(15560,plain,(sz00=sdtasdt0(sz00,xn)|$false|$false),inference(rw,[status(thm)],[15559,216,theory(equality)])).
% cnf(15561,plain,(sz00=sdtasdt0(sz00,xn)),inference(cn,[status(thm)],[15560,theory(equality)])).
% cnf(15762,plain,(sdtasdt0(sz10,sz00)=sdtasdt0(xn,sz00)|~aNaturalNumber0(xn)),inference(spm,[status(thm)],[8545,15561,theory(equality)])).
% cnf(15873,plain,(sz00=sdtasdt0(xn,sz00)|~aNaturalNumber0(xn)),inference(rw,[status(thm)],[15762,8145,theory(equality)])).
% cnf(15874,plain,(sz00=sdtasdt0(xn,sz00)|$false),inference(rw,[status(thm)],[15873,217,theory(equality)])).
% cnf(15875,plain,(sz00=sdtasdt0(xn,sz00)),inference(cn,[status(thm)],[15874,theory(equality)])).
% cnf(16095,plain,(sz00=sdtasdt0(xm,sdtasdt0(xn,sz00))|~aNaturalNumber0(sz00)|~aNaturalNumber0(xn)|~aNaturalNumber0(xm)),inference(spm,[status(thm)],[82,15399,theory(equality)])).
% cnf(16215,plain,(sz00=sdtasdt0(xm,sz00)|~aNaturalNumber0(sz00)|~aNaturalNumber0(xn)|~aNaturalNumber0(xm)),inference(rw,[status(thm)],[16095,15875,theory(equality)])).
% cnf(16216,plain,(sz00=sdtasdt0(xm,sz00)|$false|~aNaturalNumber0(xn)|~aNaturalNumber0(xm)),inference(rw,[status(thm)],[16215,57,theory(equality)])).
% cnf(16217,plain,(sz00=sdtasdt0(xm,sz00)|$false|$false|~aNaturalNumber0(xm)),inference(rw,[status(thm)],[16216,217,theory(equality)])).
% cnf(16218,plain,(sz00=sdtasdt0(xm,sz00)|$false|$false|$false),inference(rw,[status(thm)],[16217,216,theory(equality)])).
% cnf(16219,plain,(sz00=sdtasdt0(xm,sz00)),inference(cn,[status(thm)],[16218,theory(equality)])).
% cnf(16228,plain,(sdtasdt0(sz00,xm)=sz00|~aNaturalNumber0(xm)|~aNaturalNumber0(sz00)),inference(spm,[status(thm)],[79,16219,theory(equality)])).
% cnf(16266,plain,(sdtasdt0(sz00,xm)=sz00|$false|~aNaturalNumber0(sz00)),inference(rw,[status(thm)],[16228,216,theory(equality)])).
% cnf(16267,plain,(sdtasdt0(sz00,xm)=sz00|$false|$false),inference(rw,[status(thm)],[16266,57,theory(equality)])).
% cnf(16268,plain,(sdtasdt0(sz00,xm)=sz00),inference(cn,[status(thm)],[16267,theory(equality)])).
% cnf(19598,plain,(esk1_2(xp,xp)=sz00|~aNaturalNumber0(xp)|~aNaturalNumber0(esk1_2(xp,xp))),inference(spm,[status(thm)],[711,9769,theory(equality)])).
% cnf(19604,plain,(esk1_2(sdtasdt0(xm,xn),sdtasdt0(xm,xn))=sz00|~aNaturalNumber0(sdtasdt0(xm,xn))|~aNaturalNumber0(esk1_2(sdtasdt0(xm,xn),sdtasdt0(xm,xn)))),inference(spm,[status(thm)],[711,6260,theory(equality)])).
% cnf(19618,plain,(esk1_2(xp,xp)=sz00|$false|~aNaturalNumber0(esk1_2(xp,xp))),inference(rw,[status(thm)],[19598,215,theory(equality)])).
% cnf(19619,plain,(esk1_2(xp,xp)=sz00|$false|$false),inference(rw,[status(thm)],[19618,9767,theory(equality)])).
% cnf(19620,plain,(esk1_2(xp,xp)=sz00),inference(cn,[status(thm)],[19619,theory(equality)])).
% cnf(19633,plain,(esk1_2(sdtasdt0(xm,xn),sdtasdt0(xm,xn))=sz00|$false|~aNaturalNumber0(esk1_2(sdtasdt0(xm,xn),sdtasdt0(xm,xn)))),inference(rw,[status(thm)],[19604,5991,theory(equality)])).
% cnf(19634,plain,(esk1_2(sdtasdt0(xm,xn),sdtasdt0(xm,xn))=sz00|$false|$false),inference(rw,[status(thm)],[19633,6258,theory(equality)])).
% cnf(19635,plain,(esk1_2(sdtasdt0(xm,xn),sdtasdt0(xm,xn))=sz00),inference(cn,[status(thm)],[19634,theory(equality)])).
% cnf(19653,plain,(sdtpldt0(sdtasdt0(xm,xn),sz00)=sdtasdt0(xm,xn)),inference(rw,[status(thm)],[6260,19635,theory(equality)])).
% cnf(19796,plain,(sdtpldt0(xp,sz00)=xp),inference(rw,[status(thm)],[9769,19620,theory(equality)])).
% cnf(20530,plain,(sz00=esk2_2(xp,sdtasdt0(xn,xm))|sdtlseqdt0(xp,sdtasdt0(xn,xm))|~aNaturalNumber0(esk2_2(xp,sdtasdt0(xn,xm)))),inference(spm,[status(thm)],[9775,4542,theory(equality)])).
% cnf(20581,plain,(sz00=esk2_2(xp,sdtasdt0(xn,xm))|sdtlseqdt0(xp,sdtasdt0(xn,xm))|$false),inference(rw,[status(thm)],[20530,5107,theory(equality)])).
% cnf(20582,plain,(sz00=esk2_2(xp,sdtasdt0(xn,xm))|sdtlseqdt0(xp,sdtasdt0(xn,xm))),inference(cn,[status(thm)],[20581,theory(equality)])).
% cnf(21112,plain,(sdtpldt0(sdtasdt0(xn,xm),sdtmndt0(sdtasdt0(xn,xm),sdtasdt0(xn,xm)))=sdtasdt0(xn,xm)|~aNaturalNumber0(sdtasdt0(xn,xm))),inference(spm,[status(thm)],[727,6187,theory(equality)])).
% cnf(21290,plain,(sdtpldt0(sdtasdt0(xn,xm),sdtmndt0(sdtasdt0(xn,xm),sdtasdt0(xn,xm)))=sdtasdt0(xn,xm)|$false),inference(rw,[status(thm)],[21112,6811,theory(equality)])).
% cnf(21291,plain,(sdtpldt0(sdtasdt0(xn,xm),sdtmndt0(sdtasdt0(xn,xm),sdtasdt0(xn,xm)))=sdtasdt0(xn,xm)),inference(cn,[status(thm)],[21290,theory(equality)])).
% cnf(21666,plain,(sdtmndt0(sdtasdt0(xn,xm),sdtasdt0(xn,xm))=sz00|~aNaturalNumber0(sdtasdt0(xn,xm))|~aNaturalNumber0(sdtmndt0(sdtasdt0(xn,xm),sdtasdt0(xn,xm)))),inference(spm,[status(thm)],[711,21291,theory(equality)])).
% cnf(21692,plain,(sdtmndt0(sdtasdt0(xn,xm),sdtasdt0(xn,xm))=sz00|$false|~aNaturalNumber0(sdtmndt0(sdtasdt0(xn,xm),sdtasdt0(xn,xm)))),inference(rw,[status(thm)],[21666,6811,theory(equality)])).
% cnf(21693,plain,(sdtmndt0(sdtasdt0(xn,xm),sdtasdt0(xn,xm))=sz00|$false|$false),inference(rw,[status(thm)],[21692,11895,theory(equality)])).
% cnf(21694,plain,(sdtmndt0(sdtasdt0(xn,xm),sdtasdt0(xn,xm))=sz00),inference(cn,[status(thm)],[21693,theory(equality)])).
% cnf(21775,plain,(sdtpldt0(sdtasdt0(xn,xm),sz00)=sdtasdt0(xn,xm)),inference(rw,[status(thm)],[21291,21694,theory(equality)])).
% cnf(22809,plain,(sz00=xp|aNaturalNumber0(sdtsldt0(sdtasdt0(xm,xn),xp))|~aNaturalNumber0(xp)|~aNaturalNumber0(sdtasdt0(xm,xn))),inference(spm,[status(thm)],[745,302,theory(equality)])).
% cnf(22838,plain,(sz00=xp|aNaturalNumber0(xk)|~aNaturalNumber0(xp)|~aNaturalNumber0(sdtasdt0(xm,xn))),inference(rw,[status(thm)],[22809,299,theory(equality)])).
% cnf(22839,plain,(sz00=xp|aNaturalNumber0(xk)|$false|~aNaturalNumber0(sdtasdt0(xm,xn))),inference(rw,[status(thm)],[22838,215,theory(equality)])).
% cnf(22840,plain,(sz00=xp|aNaturalNumber0(xk)|$false|$false),inference(rw,[status(thm)],[22839,5991,theory(equality)])).
% cnf(22841,plain,(sz00=xp|aNaturalNumber0(xk)),inference(cn,[status(thm)],[22840,theory(equality)])).
% cnf(22902,plain,(sdtlseqdt0(xn,xk)|xp=sz00),inference(spm,[status(thm)],[3575,22841,theory(equality)])).
% cnf(22945,plain,(xk=xn|xp=sz00|~sdtlseqdt0(xk,xn)|~aNaturalNumber0(xn)|~aNaturalNumber0(xk)),inference(spm,[status(thm)],[130,22902,theory(equality)])).
% cnf(22958,plain,(xk=xn|xp=sz00|~sdtlseqdt0(xk,xn)|$false|~aNaturalNumber0(xk)),inference(rw,[status(thm)],[22945,217,theory(equality)])).
% cnf(22959,plain,(xk=xn|xp=sz00|~sdtlseqdt0(xk,xn)|~aNaturalNumber0(xk)),inference(cn,[status(thm)],[22958,theory(equality)])).
% cnf(23681,plain,(xk=xn|xp=sz00|~sdtlseqdt0(xk,xn)),inference(csr,[status(thm)],[22959,22841])).
% cnf(23819,plain,(aNaturalNumber0(sdtasdt0(X1,sdtpldt0(X2,X3)))|~aNaturalNumber0(sdtasdt0(X1,X3))|~aNaturalNumber0(X1)|~aNaturalNumber0(X2)|~aNaturalNumber0(X3)),inference(csr,[status(thm)],[754,65])).
% cnf(23820,plain,(aNaturalNumber0(sdtasdt0(X1,sdtpldt0(X2,X3)))|~aNaturalNumber0(X1)|~aNaturalNumber0(X2)|~aNaturalNumber0(X3)),inference(csr,[status(thm)],[23819,65])).
% cnf(23821,plain,(aNaturalNumber0(sdtasdt0(X1,xp))|~aNaturalNumber0(X1)|~aNaturalNumber0(xp)|~aNaturalNumber0(sz00)),inference(spm,[status(thm)],[23820,19796,theory(equality)])).
% cnf(23856,plain,(aNaturalNumber0(sdtasdt0(X1,xp))|~aNaturalNumber0(X1)|$false|~aNaturalNumber0(sz00)),inference(rw,[status(thm)],[23821,215,theory(equality)])).
% cnf(23857,plain,(aNaturalNumber0(sdtasdt0(X1,xp))|~aNaturalNumber0(X1)|$false|$false),inference(rw,[status(thm)],[23856,57,theory(equality)])).
% cnf(23858,plain,(aNaturalNumber0(sdtasdt0(X1,xp))|~aNaturalNumber0(X1)),inference(cn,[status(thm)],[23857,theory(equality)])).
% cnf(25865,plain,(sdtpldt0(sdtasdt0(sz00,xm),sz00)=sdtasdt0(sz00,xp)|~aNaturalNumber0(xm)|~aNaturalNumber0(esk1_2(xm,xp))),inference(spm,[status(thm)],[777,504,theory(equality)])).
% cnf(26066,plain,(sz00=sdtasdt0(sz00,xp)|~aNaturalNumber0(xm)|~aNaturalNumber0(esk1_2(xm,xp))),inference(rw,[status(thm)],[inference(rw,[status(thm)],[25865,16268,theory(equality)]),3367,theory(equality)])).
% cnf(26067,plain,(sz00=sdtasdt0(sz00,xp)|$false|~aNaturalNumber0(esk1_2(xm,xp))),inference(rw,[status(thm)],[26066,216,theory(equality)])).
% cnf(26068,plain,(sz00=sdtasdt0(sz00,xp)|$false|$false),inference(rw,[status(thm)],[26067,452,theory(equality)])).
% cnf(26069,plain,(sz00=sdtasdt0(sz00,xp)),inference(cn,[status(thm)],[26068,theory(equality)])).
% cnf(26222,plain,(sdtasdt0(sz10,sz00)=sdtasdt0(xp,sz00)|~aNaturalNumber0(xp)),inference(spm,[status(thm)],[8545,26069,theory(equality)])).
% cnf(26367,plain,(sz00=sdtasdt0(xp,sz00)|~aNaturalNumber0(xp)),inference(rw,[status(thm)],[26222,8145,theory(equality)])).
% cnf(26368,plain,(sz00=sdtasdt0(xp,sz00)|$false),inference(rw,[status(thm)],[26367,215,theory(equality)])).
% cnf(26369,plain,(sz00=sdtasdt0(xp,sz00)),inference(cn,[status(thm)],[26368,theory(equality)])).
% cnf(27095,plain,(sdtpldt0(sz00,xp)=sdtasdt0(xp,sdtpldt0(sz00,sz10))|~aNaturalNumber0(xp)|~aNaturalNumber0(sz00)),inference(spm,[status(thm)],[779,26369,theory(equality)])).
% cnf(27194,plain,(xp=sdtasdt0(xp,sdtpldt0(sz00,sz10))|~aNaturalNumber0(xp)|~aNaturalNumber0(sz00)),inference(rw,[status(thm)],[27095,2112,theory(equality)])).
% cnf(27195,plain,(xp=sdtasdt0(xp,sdtpldt0(sz00,sz10))|$false|~aNaturalNumber0(sz00)),inference(rw,[status(thm)],[27194,215,theory(equality)])).
% cnf(27196,plain,(xp=sdtasdt0(xp,sdtpldt0(sz00,sz10))|$false|$false),inference(rw,[status(thm)],[27195,57,theory(equality)])).
% cnf(27197,plain,(xp=sdtasdt0(xp,sdtpldt0(sz00,sz10))),inference(cn,[status(thm)],[27196,theory(equality)])).
% cnf(27369,plain,(sdtasdt0(xp,sz10)=xp|~aNaturalNumber0(sz10)),inference(spm,[status(thm)],[27197,75,theory(equality)])).
% cnf(27499,plain,(sdtasdt0(xp,sz10)=xp|$false),inference(rw,[status(thm)],[27369,59,theory(equality)])).
% cnf(27500,plain,(sdtasdt0(xp,sz10)=xp),inference(cn,[status(thm)],[27499,theory(equality)])).
% cnf(27511,plain,(sdtasdt0(xp,X1)=sdtasdt0(xp,sdtasdt0(sz10,X1))|~aNaturalNumber0(X1)|~aNaturalNumber0(sz10)|~aNaturalNumber0(xp)),inference(spm,[status(thm)],[82,27500,theory(equality)])).
% cnf(27609,plain,(sdtasdt0(xp,X1)=sdtasdt0(xp,sdtasdt0(sz10,X1))|~aNaturalNumber0(X1)|$false|~aNaturalNumber0(xp)),inference(rw,[status(thm)],[27511,59,theory(equality)])).
% cnf(27610,plain,(sdtasdt0(xp,X1)=sdtasdt0(xp,sdtasdt0(sz10,X1))|~aNaturalNumber0(X1)|$false|$false),inference(rw,[status(thm)],[27609,215,theory(equality)])).
% cnf(27611,plain,(sdtasdt0(xp,X1)=sdtasdt0(xp,sdtasdt0(sz10,X1))|~aNaturalNumber0(X1)),inference(cn,[status(thm)],[27610,theory(equality)])).
% cnf(28345,plain,(sdtasdt0(xm,sdtpldt0(xn,sz00))=sdtasdt0(xm,xn)|~aNaturalNumber0(xm)|~aNaturalNumber0(xn)),inference(spm,[status(thm)],[19653,781,theory(equality)])).
% cnf(28346,plain,(sdtasdt0(xn,sdtpldt0(xm,sz00))=sdtasdt0(xn,xm)|~aNaturalNumber0(xn)|~aNaturalNumber0(xm)),inference(spm,[status(thm)],[21775,781,theory(equality)])).
% cnf(28461,plain,(sdtasdt0(xm,sdtpldt0(xn,sz00))=sdtasdt0(xm,xn)|$false|~aNaturalNumber0(xn)),inference(rw,[status(thm)],[28345,216,theory(equality)])).
% cnf(28462,plain,(sdtasdt0(xm,sdtpldt0(xn,sz00))=sdtasdt0(xm,xn)|$false|$false),inference(rw,[status(thm)],[28461,217,theory(equality)])).
% cnf(28463,plain,(sdtasdt0(xm,sdtpldt0(xn,sz00))=sdtasdt0(xm,xn)),inference(cn,[status(thm)],[28462,theory(equality)])).
% cnf(28464,plain,(sdtasdt0(xn,sdtpldt0(xm,sz00))=sdtasdt0(xn,xm)|$false|~aNaturalNumber0(xm)),inference(rw,[status(thm)],[28346,217,theory(equality)])).
% cnf(28465,plain,(sdtasdt0(xn,sdtpldt0(xm,sz00))=sdtasdt0(xn,xm)|$false|$false),inference(rw,[status(thm)],[28464,216,theory(equality)])).
% cnf(28466,plain,(sdtasdt0(xn,sdtpldt0(xm,sz00))=sdtasdt0(xn,xm)),inference(cn,[status(thm)],[28465,theory(equality)])).
% cnf(50800,plain,(sdtsldt0(sdtasdt0(X1,X2),X1)=X2|sz00=X1|~aNaturalNumber0(X2)|~aNaturalNumber0(X1)),inference(csr,[status(thm)],[831,65])).
% cnf(50814,plain,(sdtsldt0(sdtasdt0(xn,xm),xp)=esk2_2(xp,sdtasdt0(xn,xm))|sz00=xp|~aNaturalNumber0(esk2_2(xp,sdtasdt0(xn,xm)))|~aNaturalNumber0(xp)),inference(spm,[status(thm)],[50800,4542,theory(equality)])).
% cnf(50908,plain,(xk=esk2_2(xp,sdtasdt0(xn,xm))|sz00=xp|~aNaturalNumber0(esk2_2(xp,sdtasdt0(xn,xm)))|~aNaturalNumber0(xp)),inference(rw,[status(thm)],[50814,229,theory(equality)])).
% cnf(50909,plain,(xk=esk2_2(xp,sdtasdt0(xn,xm))|sz00=xp|$false|~aNaturalNumber0(xp)),inference(rw,[status(thm)],[50908,5107,theory(equality)])).
% cnf(50910,plain,(xk=esk2_2(xp,sdtasdt0(xn,xm))|sz00=xp|$false|$false),inference(rw,[status(thm)],[50909,215,theory(equality)])).
% cnf(50911,plain,(xk=esk2_2(xp,sdtasdt0(xn,xm))|sz00=xp),inference(cn,[status(thm)],[50910,theory(equality)])).
% cnf(52048,plain,(sdtasdt0(xp,xk)=sdtasdt0(xn,xm)|xp=sz00),inference(spm,[status(thm)],[4542,50911,theory(equality)])).
% cnf(52052,plain,(xk=sz00|sdtlseqdt0(xp,sdtasdt0(xn,xm))|xp=sz00),inference(spm,[status(thm)],[20582,50911,theory(equality)])).
% cnf(52057,plain,(sdtlseqdt0(xp,sdtasdt0(xn,xm))|xp=sz00),inference(sr,[status(thm)],[52052,232,theory(equality)])).
% cnf(52201,plain,(xp=sz00|sdtlseqdt0(xp,sdtasdt0(xm,xn))|~aNaturalNumber0(xn)|~aNaturalNumber0(xm)),inference(spm,[status(thm)],[52057,79,theory(equality)])).
% cnf(52250,plain,(xp=sz00|sdtlseqdt0(xp,sdtasdt0(xm,xn))|$false|~aNaturalNumber0(xm)),inference(rw,[status(thm)],[52201,217,theory(equality)])).
% cnf(52251,plain,(xp=sz00|sdtlseqdt0(xp,sdtasdt0(xm,xn))|$false|$false),inference(rw,[status(thm)],[52250,216,theory(equality)])).
% cnf(52252,plain,(xp=sz00|sdtlseqdt0(xp,sdtasdt0(xm,xn))),inference(cn,[status(thm)],[52251,theory(equality)])).
% cnf(52374,plain,(sdtasdt0(xm,xn)=xp|xp=sz00|~sdtlseqdt0(sdtasdt0(xm,xn),xp)|~aNaturalNumber0(xp)|~aNaturalNumber0(sdtasdt0(xm,xn))),inference(spm,[status(thm)],[130,52252,theory(equality)])).
% cnf(52391,plain,(sdtasdt0(xm,xn)=xp|xp=sz00|~sdtlseqdt0(sdtasdt0(xm,xn),xp)|$false|~aNaturalNumber0(sdtasdt0(xm,xn))),inference(rw,[status(thm)],[52374,215,theory(equality)])).
% cnf(52392,plain,(sdtasdt0(xm,xn)=xp|xp=sz00|~sdtlseqdt0(sdtasdt0(xm,xn),xp)|$false|$false),inference(rw,[status(thm)],[52391,5991,theory(equality)])).
% cnf(52393,plain,(sdtasdt0(xm,xn)=xp|xp=sz00|~sdtlseqdt0(sdtasdt0(xm,xn),xp)),inference(cn,[status(thm)],[52392,theory(equality)])).
% cnf(52438,plain,(sdtasdt0(xm,xn)=sdtasdt0(xp,xk)|xp=sz00|~aNaturalNumber0(xn)|~aNaturalNumber0(xm)),inference(spm,[status(thm)],[79,52048,theory(equality)])).
% cnf(52468,plain,(sdtpldt0(sdtasdt0(xp,xk),sz00)=sdtasdt0(xn,sdtpldt0(xm,sz00))|xp=sz00|~aNaturalNumber0(xn)|~aNaturalNumber0(xm)),inference(spm,[status(thm)],[781,52048,theory(equality)])).
% cnf(52607,plain,(sdtasdt0(xm,xn)=sdtasdt0(xp,xk)|xp=sz00|$false|~aNaturalNumber0(xm)),inference(rw,[status(thm)],[52438,217,theory(equality)])).
% cnf(52608,plain,(sdtasdt0(xm,xn)=sdtasdt0(xp,xk)|xp=sz00|$false|$false),inference(rw,[status(thm)],[52607,216,theory(equality)])).
% cnf(52609,plain,(sdtasdt0(xm,xn)=sdtasdt0(xp,xk)|xp=sz00),inference(cn,[status(thm)],[52608,theory(equality)])).
% cnf(52698,plain,(sdtpldt0(sdtasdt0(xp,xk),sz00)=sdtasdt0(xn,xm)|xp=sz00|~aNaturalNumber0(xn)|~aNaturalNumber0(xm)),inference(rw,[status(thm)],[52468,28466,theory(equality)])).
% cnf(52699,plain,(sdtpldt0(sdtasdt0(xp,xk),sz00)=sdtasdt0(xn,xm)|xp=sz00|$false|~aNaturalNumber0(xm)),inference(rw,[status(thm)],[52698,217,theory(equality)])).
% cnf(52700,plain,(sdtpldt0(sdtasdt0(xp,xk),sz00)=sdtasdt0(xn,xm)|xp=sz00|$false|$false),inference(rw,[status(thm)],[52699,216,theory(equality)])).
% cnf(52701,plain,(sdtpldt0(sdtasdt0(xp,xk),sz00)=sdtasdt0(xn,xm)|xp=sz00),inference(cn,[status(thm)],[52700,theory(equality)])).
% cnf(53188,plain,(sdtpldt0(sdtasdt0(xp,xk),sz00)=sdtasdt0(xm,sdtpldt0(xn,sz00))|xp=sz00|~aNaturalNumber0(xm)|~aNaturalNumber0(xn)),inference(spm,[status(thm)],[781,52609,theory(equality)])).
% cnf(53422,plain,(sdtpldt0(sdtasdt0(xp,xk),sz00)=sdtasdt0(xm,xn)|xp=sz00|~aNaturalNumber0(xm)|~aNaturalNumber0(xn)),inference(rw,[status(thm)],[53188,28463,theory(equality)])).
% cnf(53423,plain,(sdtpldt0(sdtasdt0(xp,xk),sz00)=sdtasdt0(xm,xn)|xp=sz00|$false|~aNaturalNumber0(xn)),inference(rw,[status(thm)],[53422,216,theory(equality)])).
% cnf(53424,plain,(sdtpldt0(sdtasdt0(xp,xk),sz00)=sdtasdt0(xm,xn)|xp=sz00|$false|$false),inference(rw,[status(thm)],[53423,217,theory(equality)])).
% cnf(53425,plain,(sdtpldt0(sdtasdt0(xp,xk),sz00)=sdtasdt0(xm,xn)|xp=sz00),inference(cn,[status(thm)],[53424,theory(equality)])).
% cnf(67093,plain,(sdtasdt0(xm,xn)=sdtasdt0(xn,xm)|xp=sz00),inference(spm,[status(thm)],[52701,53425,theory(equality)])).
% cnf(67244,plain,(doDivides0(xn,sdtasdt0(xm,xn))|xp=sz00|~aNaturalNumber0(xm)|~aNaturalNumber0(xn)),inference(spm,[status(thm)],[10115,67093,theory(equality)])).
% cnf(67265,plain,(sdtsldt0(sdtasdt0(xm,xn),xn)=xm|sz00=xn|xp=sz00|~aNaturalNumber0(xm)|~aNaturalNumber0(xn)),inference(spm,[status(thm)],[50800,67093,theory(equality)])).
% cnf(67492,plain,(doDivides0(xn,sdtasdt0(xm,xn))|xp=sz00|$false|~aNaturalNumber0(xn)),inference(rw,[status(thm)],[67244,216,theory(equality)])).
% cnf(67493,plain,(doDivides0(xn,sdtasdt0(xm,xn))|xp=sz00|$false|$false),inference(rw,[status(thm)],[67492,217,theory(equality)])).
% cnf(67494,plain,(doDivides0(xn,sdtasdt0(xm,xn))|xp=sz00),inference(cn,[status(thm)],[67493,theory(equality)])).
% cnf(67563,plain,(sdtsldt0(sdtasdt0(xm,xn),xn)=xm|sz00=xn|xp=sz00|$false|~aNaturalNumber0(xn)),inference(rw,[status(thm)],[67265,216,theory(equality)])).
% cnf(67564,plain,(sdtsldt0(sdtasdt0(xm,xn),xn)=xm|sz00=xn|xp=sz00|$false|$false),inference(rw,[status(thm)],[67563,217,theory(equality)])).
% cnf(67565,plain,(sdtsldt0(sdtasdt0(xm,xn),xn)=xm|sz00=xn|xp=sz00),inference(cn,[status(thm)],[67564,theory(equality)])).
% cnf(68667,plain,(sdtasdt0(xn,sdtsldt0(sdtasdt0(xm,xn),xn))=sdtasdt0(xm,xn)|sz00=xn|xp=sz00|~aNaturalNumber0(xn)|~aNaturalNumber0(sdtasdt0(xm,xn))),inference(spm,[status(thm)],[860,67494,theory(equality)])).
% cnf(68690,plain,(sdtasdt0(xn,sdtsldt0(sdtasdt0(xm,xn),xn))=sdtasdt0(xm,xn)|sz00=xn|xp=sz00|$false|~aNaturalNumber0(sdtasdt0(xm,xn))),inference(rw,[status(thm)],[68667,217,theory(equality)])).
% cnf(68691,plain,(sdtasdt0(xn,sdtsldt0(sdtasdt0(xm,xn),xn))=sdtasdt0(xm,xn)|sz00=xn|xp=sz00|$false|$false),inference(rw,[status(thm)],[68690,5991,theory(equality)])).
% cnf(68692,plain,(sdtasdt0(xn,sdtsldt0(sdtasdt0(xm,xn),xn))=sdtasdt0(xm,xn)|sz00=xn|xp=sz00),inference(cn,[status(thm)],[68691,theory(equality)])).
% cnf(75380,plain,(sdtasdt0(xn,sdtsldt0(sdtasdt0(xm,xn),xn))=sdtasdt0(xm,xn)|xn=sz00),inference(csr,[status(thm)],[68692,1628])).
% cnf(75908,plain,(sdtsldt0(sdtasdt0(xm,xn),xn)=xm|xn=sz00),inference(csr,[status(thm)],[67565,1628])).
% cnf(75912,plain,(sdtasdt0(xn,xm)=sdtasdt0(xm,xn)|xn=sz00),inference(spm,[status(thm)],[75380,75908,theory(equality)])).
% cnf(75930,plain,(sz00=xn|xm=X1|sdtasdt0(xm,xn)!=sdtasdt0(xn,X1)|~aNaturalNumber0(X1)|~aNaturalNumber0(xm)|~aNaturalNumber0(xn)),inference(spm,[status(thm)],[108,75912,theory(equality)])).
% cnf(76159,plain,(sz00=xn|xm=X1|sdtasdt0(xm,xn)!=sdtasdt0(xn,X1)|~aNaturalNumber0(X1)|$false|~aNaturalNumber0(xn)),inference(rw,[status(thm)],[75930,216,theory(equality)])).
% cnf(76160,plain,(sz00=xn|xm=X1|sdtasdt0(xm,xn)!=sdtasdt0(xn,X1)|~aNaturalNumber0(X1)|$false|$false),inference(rw,[status(thm)],[76159,217,theory(equality)])).
% cnf(76161,plain,(sz00=xn|xm=X1|sdtasdt0(xm,xn)!=sdtasdt0(xn,X1)|~aNaturalNumber0(X1)),inference(cn,[status(thm)],[76160,theory(equality)])).
% cnf(79920,plain,(sdtasdt0(X1,xm)=sdtasdt0(X1,xp)|sz00=X1|~sdtlseqdt0(sdtasdt0(X1,xp),sdtasdt0(X1,xm))|~aNaturalNumber0(sdtasdt0(X1,xm))|~aNaturalNumber0(X1)),inference(csr,[status(thm)],[1044,23858])).
% cnf(79923,plain,(sdtasdt0(xm,xn)=sdtasdt0(xn,xp)|sz00=xn|~sdtlseqdt0(sdtasdt0(xn,xp),sdtasdt0(xm,xn))|~aNaturalNumber0(sdtasdt0(xm,xn))|~aNaturalNumber0(xn)),inference(spm,[status(thm)],[79920,75912,theory(equality)])).
% cnf(79945,plain,(sdtasdt0(xm,xn)=sdtasdt0(xn,xp)|sz00=xn|~sdtlseqdt0(sdtasdt0(xn,xp),sdtasdt0(xm,xn))|$false|~aNaturalNumber0(xn)),inference(rw,[status(thm)],[79923,5991,theory(equality)])).
% cnf(79946,plain,(sdtasdt0(xm,xn)=sdtasdt0(xn,xp)|sz00=xn|~sdtlseqdt0(sdtasdt0(xn,xp),sdtasdt0(xm,xn))|$false|$false),inference(rw,[status(thm)],[79945,217,theory(equality)])).
% cnf(79947,plain,(sdtasdt0(xm,xn)=sdtasdt0(xn,xp)|sz00=xn|~sdtlseqdt0(sdtasdt0(xn,xp),sdtasdt0(xm,xn))),inference(cn,[status(thm)],[79946,theory(equality)])).
% cnf(82595,plain,(sdtasdt0(xp,xn)=sdtasdt0(xm,xn)|xn=sz00|~sdtlseqdt0(sdtasdt0(xp,xn),sdtasdt0(xm,xn))|~aNaturalNumber0(xn)|~aNaturalNumber0(xp)),inference(spm,[status(thm)],[79947,79,theory(equality)])).
% cnf(82599,plain,(sdtasdt0(xp,xn)=sdtasdt0(xm,xn)|xn=sz00|~sdtlseqdt0(sdtasdt0(xp,xn),sdtasdt0(xm,xn))|$false|~aNaturalNumber0(xp)),inference(rw,[status(thm)],[82595,217,theory(equality)])).
% cnf(82600,plain,(sdtasdt0(xp,xn)=sdtasdt0(xm,xn)|xn=sz00|~sdtlseqdt0(sdtasdt0(xp,xn),sdtasdt0(xm,xn))|$false|$false),inference(rw,[status(thm)],[82599,215,theory(equality)])).
% cnf(82601,plain,(sdtasdt0(xp,xn)=sdtasdt0(xm,xn)|xn=sz00|~sdtlseqdt0(sdtasdt0(xp,xn),sdtasdt0(xm,xn))),inference(cn,[status(thm)],[82600,theory(equality)])).
% cnf(85494,plain,(sdtasdt0(X1,sdtasdt0(xp,sz10))=sdtasdt0(xp,X1)|~aNaturalNumber0(X1)|~aNaturalNumber0(sz10)|~aNaturalNumber0(xp)),inference(spm,[status(thm)],[5730,27611,theory(equality)])).
% cnf(85760,plain,(sdtasdt0(X1,xp)=sdtasdt0(xp,X1)|~aNaturalNumber0(X1)|~aNaturalNumber0(sz10)|~aNaturalNumber0(xp)),inference(rw,[status(thm)],[85494,27500,theory(equality)])).
% cnf(85761,plain,(sdtasdt0(X1,xp)=sdtasdt0(xp,X1)|~aNaturalNumber0(X1)|$false|~aNaturalNumber0(xp)),inference(rw,[status(thm)],[85760,59,theory(equality)])).
% cnf(85762,plain,(sdtasdt0(X1,xp)=sdtasdt0(xp,X1)|~aNaturalNumber0(X1)|$false|$false),inference(rw,[status(thm)],[85761,215,theory(equality)])).
% cnf(85763,plain,(sdtasdt0(X1,xp)=sdtasdt0(xp,X1)|~aNaturalNumber0(X1)),inference(cn,[status(thm)],[85762,theory(equality)])).
% cnf(86114,plain,(xn=sz00|xm=xp|sdtasdt0(xp,xn)!=sdtasdt0(xm,xn)|~aNaturalNumber0(xp)|~aNaturalNumber0(xn)),inference(spm,[status(thm)],[76161,85763,theory(equality)])).
% cnf(86628,plain,(xn=sz00|xm=xp|sdtasdt0(xp,xn)!=sdtasdt0(xm,xn)|$false|~aNaturalNumber0(xn)),inference(rw,[status(thm)],[86114,215,theory(equality)])).
% cnf(86629,plain,(xn=sz00|xm=xp|sdtasdt0(xp,xn)!=sdtasdt0(xm,xn)|$false|$false),inference(rw,[status(thm)],[86628,217,theory(equality)])).
% cnf(86630,plain,(xn=sz00|xm=xp|sdtasdt0(xp,xn)!=sdtasdt0(xm,xn)),inference(cn,[status(thm)],[86629,theory(equality)])).
% cnf(86631,plain,(xn=sz00|sdtasdt0(xm,xn)!=sdtasdt0(xp,xn)),inference(sr,[status(thm)],[86630,226,theory(equality)])).
% cnf(111641,plain,(xn=sz00|~sdtlseqdt0(sdtasdt0(xp,xn),sdtasdt0(xm,xn))),inference(csr,[status(thm)],[82601,86631])).
% cnf(111642,plain,(xn=sz00|xp=sz00|~sdtlseqdt0(sdtasdt0(xp,xn),sdtasdt0(xp,xk))),inference(spm,[status(thm)],[111641,52609,theory(equality)])).
% cnf(111776,plain,(xn=sz00|~sdtlseqdt0(sdtasdt0(xp,xn),sdtasdt0(xp,xk))),inference(csr,[status(thm)],[111642,1628])).
% cnf(111777,plain,(xn=sz00|sz00=xp|xk=xn|sdtlseqdt0(xk,xn)|~aNaturalNumber0(xp)|~aNaturalNumber0(xn)|~aNaturalNumber0(xk)),inference(spm,[status(thm)],[111776,661,theory(equality)])).
% cnf(111778,plain,(xn=sz00|sz00=xp|xk=xn|sdtlseqdt0(xk,xn)|$false|~aNaturalNumber0(xn)|~aNaturalNumber0(xk)),inference(rw,[status(thm)],[111777,215,theory(equality)])).
% cnf(111779,plain,(xn=sz00|sz00=xp|xk=xn|sdtlseqdt0(xk,xn)|$false|$false|~aNaturalNumber0(xk)),inference(rw,[status(thm)],[111778,217,theory(equality)])).
% cnf(111780,plain,(xn=sz00|sz00=xp|xk=xn|sdtlseqdt0(xk,xn)|~aNaturalNumber0(xk)),inference(cn,[status(thm)],[111779,theory(equality)])).
% cnf(111781,plain,(xn=sz00|xp=sz00|xk=xn|sdtlseqdt0(xk,xn)),inference(csr,[status(thm)],[111780,22841])).
% cnf(111782,plain,(xn=sz00|xp=sz00|xk=xn),inference(csr,[status(thm)],[111781,23681])).
% cnf(111783,plain,(xn=sz00|xk=xn),inference(csr,[status(thm)],[111782,1628])).
% cnf(111786,plain,(sdtlseqdt0(xp,xn)|xn=sz00),inference(spm,[status(thm)],[240,111783,theory(equality)])).
% cnf(111951,plain,(xn=sz00),inference(sr,[status(thm)],[111786,223,theory(equality)])).
% cnf(112384,plain,(sz00=xp|xp=sz00|~sdtlseqdt0(sdtasdt0(xm,xn),xp)),inference(rw,[status(thm)],[inference(rw,[status(thm)],[52393,111951,theory(equality)]),16219,theory(equality)])).
% cnf(112385,plain,(sz00=xp|xp=sz00|$false),inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[112384,111951,theory(equality)]),16219,theory(equality)]),1805,theory(equality)])).
% cnf(112386,plain,(sz00=xp|xp=sz00),inference(cn,[status(thm)],[112385,theory(equality)])).
% cnf(112387,plain,(xp=sz00),inference(cn,[status(thm)],[112386,theory(equality)])).
% cnf(113819,plain,(isPrime0(sz00)),inference(rw,[status(thm)],[222,112387,theory(equality)])).
% cnf(113820,plain,($false),inference(sr,[status(thm)],[113819,263,theory(equality)])).
% cnf(113821,plain,($false),113820,['proof']).
% # SZS output end CNFRefutation
% # Processed clauses : 3515
% # ...of these trivial : 154
% # ...subsumed : 1669
% # ...remaining for further processing: 1692
% # Other redundant clauses eliminated : 57
% # Clauses deleted for lack of memory : 0
% # Backward-subsumed : 53
% # Backward-rewritten : 1157
% # Generated clauses : 37031
% # ...of the previous two non-trivial : 32956
% # Contextual simplify-reflections : 765
% # Paramodulations : 36865
% # Factorizations : 9
% # Equation resolutions : 157
% # Current number of processed clauses: 397
% # Positive orientable unit clauses: 77
% # Positive unorientable unit clauses: 0
% # Negative unit clauses : 5
% # Non-unit-clauses : 315
% # Current number of unprocessed clauses: 11290
% # ...number of literals in the above : 59093
% # Clause-clause subsumption calls (NU) : 34267
% # Rec. Clause-clause subsumption calls : 12691
% # Unit Clause-clause subsumption calls : 615
% # Rewrite failures with RHS unbound : 0
% # Indexed BW rewrite attempts : 179
% # Indexed BW rewrite successes : 75
% # Backwards rewriting index: 353 leaves, 1.36+/-1.338 terms/leaf
% # Paramod-from index: 226 leaves, 1.09+/-0.359 terms/leaf
% # Paramod-into index: 282 leaves, 1.33+/-1.250 terms/leaf
% # -------------------------------------------------
% # User time : 1.859 s
% # System time : 0.061 s
% # Total time : 1.920 s
% # Maximum resident set size: 0 pages
% PrfWatch: 3.53 CPU 3.68 WC
% FINAL PrfWatch: 3.53 CPU 3.68 WC
% SZS output end Solution for /tmp/SystemOnTPTP1157/NUM503+1.tptp
%
%------------------------------------------------------------------------------