TSTP Solution File: NUM493+1 by SRASS---0.1
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- Process Solution
%------------------------------------------------------------------------------
% File : SRASS---0.1
% Problem : NUM493+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 : art09.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 19:33:37 EST 2010
% Result : Theorem 21.22s
% Output : Solution 21.22s
% 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/SystemOnTPTP7197/NUM493+1.tptp
% Adding relevance values
% Extracting the conjecture
% Sorting axioms by relevance
% Looking for THM ...
% found
% SZS status THM for /tmp/SystemOnTPTP7197/NUM493+1.tptp
% SZS output start Solution for /tmp/SystemOnTPTP7197/NUM493+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 7293
% TreeLimitedRun: ----------------------------------------------------------
% PrfWatch: 0.00 CPU 0.02 WC
% PrfWatch: 1.94 CPU 2.03 WC
% PrfWatch: 3.93 CPU 4.03 WC
% PrfWatch: 5.92 CPU 6.04 WC
% PrfWatch: 7.90 CPU 8.04 WC
% PrfWatch: 9.89 CPU 10.05 WC
% # Preprocessing time : 0.020 s
% # Problem is unsatisfiable (or provable), constructing proof object
% # SZS status Theorem
% PrfWatch: 11.88 CPU 12.05 WC
% PrfWatch: 13.86 CPU 14.06 WC
% PrfWatch: 15.86 CPU 16.06 WC
% PrfWatch: 17.85 CPU 18.07 WC
% PrfWatch: 19.85 CPU 20.07 WC
% # SZS output start CNFRefutation.
% fof(1, axiom,![X1]:![X2]:((aNaturalNumber0(X1)&aNaturalNumber0(X2))=>aNaturalNumber0(sdtpldt0(X1,X2))),file('/tmp/SRASS.s.p', mSortsB)).
% fof(2, axiom,![X1]:![X2]:((aNaturalNumber0(X1)&aNaturalNumber0(X2))=>aNaturalNumber0(sdtasdt0(X1,X2))),file('/tmp/SRASS.s.p', mSortsB_02)).
% fof(3, axiom,![X1]:![X2]:((aNaturalNumber0(X1)&aNaturalNumber0(X2))=>sdtpldt0(X1,X2)=sdtpldt0(X2,X1)),file('/tmp/SRASS.s.p', mAddComm)).
% fof(4, axiom,![X1]:![X2]:![X3]:(((aNaturalNumber0(X1)&aNaturalNumber0(X2))&aNaturalNumber0(X3))=>sdtpldt0(sdtpldt0(X1,X2),X3)=sdtpldt0(X1,sdtpldt0(X2,X3))),file('/tmp/SRASS.s.p', mAddAsso)).
% fof(5, axiom,![X1]:![X2]:((aNaturalNumber0(X1)&aNaturalNumber0(X2))=>sdtasdt0(X1,X2)=sdtasdt0(X2,X1)),file('/tmp/SRASS.s.p', mMulComm)).
% fof(6, 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(7, 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(8, 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(9, axiom,![X1]:![X2]:((aNaturalNumber0(X1)&aNaturalNumber0(X2))=>(sdtlseqdt0(X1,X2)<=>?[X3]:(aNaturalNumber0(X3)&sdtpldt0(X1,X3)=X2))),file('/tmp/SRASS.s.p', mDefLE)).
% fof(10, 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(13, 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(15, axiom,![X1]:![X2]:((aNaturalNumber0(X1)&aNaturalNumber0(X2))=>((~(X1=X2)&sdtlseqdt0(X1,X2))=>![X3]:(aNaturalNumber0(X3)=>(((~(sdtpldt0(X3,X1)=sdtpldt0(X3,X2))&sdtlseqdt0(sdtpldt0(X3,X1),sdtpldt0(X3,X2)))&~(sdtpldt0(X1,X3)=sdtpldt0(X2,X3)))&sdtlseqdt0(sdtpldt0(X1,X3),sdtpldt0(X2,X3)))))),file('/tmp/SRASS.s.p', mMonAdd)).
% fof(16, axiom,![X1]:![X2]:((aNaturalNumber0(X1)&aNaturalNumber0(X2))=>((~(X1=X2)&sdtlseqdt0(X1,X2))=>iLess0(X1,X2))),file('/tmp/SRASS.s.p', mIH_03)).
% fof(17, axiom,![X1]:![X2]:((aNaturalNumber0(X1)&aNaturalNumber0(X2))=>(doDivides0(X1,X2)<=>?[X3]:(aNaturalNumber0(X3)&X2=sdtasdt0(X1,X3)))),file('/tmp/SRASS.s.p', mDefDiv)).
% fof(18, axiom,![X1]:![X2]:![X3]:(((aNaturalNumber0(X1)&aNaturalNumber0(X2))&aNaturalNumber0(X3))=>((doDivides0(X1,X2)&doDivides0(X2,X3))=>doDivides0(X1,X3))),file('/tmp/SRASS.s.p', mDivTrans)).
% fof(19, axiom,![X1]:![X2]:![X3]:(((aNaturalNumber0(X1)&aNaturalNumber0(X2))&aNaturalNumber0(X3))=>((doDivides0(X1,X2)&doDivides0(X1,X3))=>doDivides0(X1,sdtpldt0(X2,X3)))),file('/tmp/SRASS.s.p', mDivSum)).
% fof(20, axiom,![X1]:![X2]:![X3]:(((aNaturalNumber0(X1)&aNaturalNumber0(X2))&aNaturalNumber0(X3))=>((doDivides0(X1,X2)&doDivides0(X1,sdtpldt0(X2,X3)))=>doDivides0(X1,X3))),file('/tmp/SRASS.s.p', mDivMin)).
% fof(21, axiom,((aNaturalNumber0(xn)&aNaturalNumber0(xm))&aNaturalNumber0(xp)),file('/tmp/SRASS.s.p', m__1837)).
% fof(22, axiom,![X1]:![X2]:![X3]:(((aNaturalNumber0(X1)&aNaturalNumber0(X2))&aNaturalNumber0(X3))=>((isPrime0(X3)&doDivides0(X3,sdtasdt0(X1,X2)))=>(iLess0(sdtpldt0(sdtpldt0(X1,X2),X3),sdtpldt0(sdtpldt0(xn,xm),xp))=>(doDivides0(X3,X1)|doDivides0(X3,X2))))),file('/tmp/SRASS.s.p', m__1799)).
% fof(23, axiom,(isPrime0(xp)&doDivides0(xp,sdtasdt0(xn,xm))),file('/tmp/SRASS.s.p', m__1860)).
% fof(24, axiom,sdtlseqdt0(xp,xn),file('/tmp/SRASS.s.p', m__1870)).
% fof(25, axiom,xr=sdtmndt0(xn,xp),file('/tmp/SRASS.s.p', m__1883)).
% fof(26, axiom,(~(xr=xn)&sdtlseqdt0(xr,xn)),file('/tmp/SRASS.s.p', m__1894)).
% fof(27, axiom,doDivides0(xp,sdtasdt0(xr,xm)),file('/tmp/SRASS.s.p', m__1913)).
% fof(30, axiom,![X1]:![X2]:((aNaturalNumber0(X1)&aNaturalNumber0(X2))=>(~(X1=sz00)=>sdtlseqdt0(X2,sdtasdt0(X2,X1)))),file('/tmp/SRASS.s.p', mMonMul2)).
% fof(31, axiom,![X1]:(aNaturalNumber0(X1)=>(sdtpldt0(X1,sz00)=X1&X1=sdtpldt0(sz00,X1))),file('/tmp/SRASS.s.p', m_AddZero)).
% fof(32, axiom,![X1]:![X2]:((aNaturalNumber0(X1)&aNaturalNumber0(X2))=>(sdtpldt0(X1,X2)=sz00=>(X1=sz00&X2=sz00))),file('/tmp/SRASS.s.p', mZeroAdd)).
% fof(33, axiom,![X1]:(aNaturalNumber0(X1)=>(sdtasdt0(X1,sz00)=sz00&sz00=sdtasdt0(sz00,X1))),file('/tmp/SRASS.s.p', m_MulZero)).
% fof(35, axiom,![X1]:![X2]:((aNaturalNumber0(X1)&aNaturalNumber0(X2))=>(sdtasdt0(X1,X2)=sz00=>(X1=sz00|X2=sz00))),file('/tmp/SRASS.s.p', mZeroMul)).
% fof(38, 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(39, axiom,![X1]:![X2]:((aNaturalNumber0(X1)&aNaturalNumber0(X2))=>((~(X1=sz00)&doDivides0(X1,X2))=>![X3]:(aNaturalNumber0(X3)=>sdtasdt0(X3,sdtsldt0(X2,X1))=sdtsldt0(sdtasdt0(X3,X2),X1)))),file('/tmp/SRASS.s.p', mDivAsso)).
% fof(40, axiom,![X1]:(aNaturalNumber0(X1)=>(sdtasdt0(X1,sz10)=X1&X1=sdtasdt0(sz10,X1))),file('/tmp/SRASS.s.p', m_MulUnit)).
% fof(42, axiom,aNaturalNumber0(sz00),file('/tmp/SRASS.s.p', mSortsC)).
% fof(43, axiom,(aNaturalNumber0(sz10)&~(sz10=sz00)),file('/tmp/SRASS.s.p', mSortsC_01)).
% fof(46, conjecture,(doDivides0(xp,xr)|doDivides0(xp,xm)),file('/tmp/SRASS.s.p', m__)).
% fof(47, negated_conjecture,~((doDivides0(xp,xr)|doDivides0(xp,xm))),inference(assume_negation,[status(cth)],[46])).
% fof(50, plain,![X1]:![X2]:((~(aNaturalNumber0(X1))|~(aNaturalNumber0(X2)))|aNaturalNumber0(sdtpldt0(X1,X2))),inference(fof_nnf,[status(thm)],[1])).
% fof(51, plain,![X3]:![X4]:((~(aNaturalNumber0(X3))|~(aNaturalNumber0(X4)))|aNaturalNumber0(sdtpldt0(X3,X4))),inference(variable_rename,[status(thm)],[50])).
% cnf(52,plain,(aNaturalNumber0(sdtpldt0(X1,X2))|~aNaturalNumber0(X2)|~aNaturalNumber0(X1)),inference(split_conjunct,[status(thm)],[51])).
% fof(53, plain,![X1]:![X2]:((~(aNaturalNumber0(X1))|~(aNaturalNumber0(X2)))|aNaturalNumber0(sdtasdt0(X1,X2))),inference(fof_nnf,[status(thm)],[2])).
% fof(54, plain,![X3]:![X4]:((~(aNaturalNumber0(X3))|~(aNaturalNumber0(X4)))|aNaturalNumber0(sdtasdt0(X3,X4))),inference(variable_rename,[status(thm)],[53])).
% cnf(55,plain,(aNaturalNumber0(sdtasdt0(X1,X2))|~aNaturalNumber0(X2)|~aNaturalNumber0(X1)),inference(split_conjunct,[status(thm)],[54])).
% fof(56, plain,![X1]:![X2]:((~(aNaturalNumber0(X1))|~(aNaturalNumber0(X2)))|sdtpldt0(X1,X2)=sdtpldt0(X2,X1)),inference(fof_nnf,[status(thm)],[3])).
% fof(57, plain,![X3]:![X4]:((~(aNaturalNumber0(X3))|~(aNaturalNumber0(X4)))|sdtpldt0(X3,X4)=sdtpldt0(X4,X3)),inference(variable_rename,[status(thm)],[56])).
% cnf(58,plain,(sdtpldt0(X1,X2)=sdtpldt0(X2,X1)|~aNaturalNumber0(X2)|~aNaturalNumber0(X1)),inference(split_conjunct,[status(thm)],[57])).
% fof(59, plain,![X1]:![X2]:![X3]:(((~(aNaturalNumber0(X1))|~(aNaturalNumber0(X2)))|~(aNaturalNumber0(X3)))|sdtpldt0(sdtpldt0(X1,X2),X3)=sdtpldt0(X1,sdtpldt0(X2,X3))),inference(fof_nnf,[status(thm)],[4])).
% fof(60, plain,![X4]:![X5]:![X6]:(((~(aNaturalNumber0(X4))|~(aNaturalNumber0(X5)))|~(aNaturalNumber0(X6)))|sdtpldt0(sdtpldt0(X4,X5),X6)=sdtpldt0(X4,sdtpldt0(X5,X6))),inference(variable_rename,[status(thm)],[59])).
% cnf(61,plain,(sdtpldt0(sdtpldt0(X1,X2),X3)=sdtpldt0(X1,sdtpldt0(X2,X3))|~aNaturalNumber0(X3)|~aNaturalNumber0(X2)|~aNaturalNumber0(X1)),inference(split_conjunct,[status(thm)],[60])).
% fof(62, plain,![X1]:![X2]:((~(aNaturalNumber0(X1))|~(aNaturalNumber0(X2)))|sdtasdt0(X1,X2)=sdtasdt0(X2,X1)),inference(fof_nnf,[status(thm)],[5])).
% fof(63, plain,![X3]:![X4]:((~(aNaturalNumber0(X3))|~(aNaturalNumber0(X4)))|sdtasdt0(X3,X4)=sdtasdt0(X4,X3)),inference(variable_rename,[status(thm)],[62])).
% cnf(64,plain,(sdtasdt0(X1,X2)=sdtasdt0(X2,X1)|~aNaturalNumber0(X2)|~aNaturalNumber0(X1)),inference(split_conjunct,[status(thm)],[63])).
% fof(65, 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)],[6])).
% fof(66, 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)],[65])).
% cnf(67,plain,(sdtasdt0(sdtasdt0(X1,X2),X3)=sdtasdt0(X1,sdtasdt0(X2,X3))|~aNaturalNumber0(X3)|~aNaturalNumber0(X2)|~aNaturalNumber0(X1)),inference(split_conjunct,[status(thm)],[66])).
% fof(68, 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)],[7])).
% fof(69, 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)],[68])).
% fof(70, 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)],[69])).
% cnf(71,plain,(sdtasdt0(sdtpldt0(X2,X1),X3)=sdtpldt0(sdtasdt0(X2,X3),sdtasdt0(X1,X3))|~aNaturalNumber0(X1)|~aNaturalNumber0(X2)|~aNaturalNumber0(X3)),inference(split_conjunct,[status(thm)],[70])).
% cnf(72,plain,(sdtasdt0(X3,sdtpldt0(X2,X1))=sdtpldt0(sdtasdt0(X3,X2),sdtasdt0(X3,X1))|~aNaturalNumber0(X1)|~aNaturalNumber0(X2)|~aNaturalNumber0(X3)),inference(split_conjunct,[status(thm)],[70])).
% fof(73, 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)],[8])).
% fof(74, 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)],[73])).
% fof(75, 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)],[74])).
% cnf(76,plain,(X2=X1|~aNaturalNumber0(X1)|~aNaturalNumber0(X2)|~aNaturalNumber0(X3)|sdtpldt0(X2,X3)!=sdtpldt0(X1,X3)),inference(split_conjunct,[status(thm)],[75])).
% cnf(77,plain,(X2=X1|~aNaturalNumber0(X1)|~aNaturalNumber0(X2)|~aNaturalNumber0(X3)|sdtpldt0(X3,X2)!=sdtpldt0(X3,X1)),inference(split_conjunct,[status(thm)],[75])).
% fof(78, 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)],[9])).
% fof(79, 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)],[78])).
% fof(80, 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)],[79])).
% fof(81, 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)],[80])).
% fof(82, 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)],[81])).
% cnf(83,plain,(sdtpldt0(X2,esk1_2(X2,X1))=X1|~aNaturalNumber0(X1)|~aNaturalNumber0(X2)|~sdtlseqdt0(X2,X1)),inference(split_conjunct,[status(thm)],[82])).
% cnf(84,plain,(aNaturalNumber0(esk1_2(X2,X1))|~aNaturalNumber0(X1)|~aNaturalNumber0(X2)|~sdtlseqdt0(X2,X1)),inference(split_conjunct,[status(thm)],[82])).
% cnf(85,plain,(sdtlseqdt0(X2,X1)|~aNaturalNumber0(X1)|~aNaturalNumber0(X2)|sdtpldt0(X2,X3)!=X1|~aNaturalNumber0(X3)),inference(split_conjunct,[status(thm)],[82])).
% fof(86, 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)],[10])).
% fof(87, 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)],[86])).
% fof(88, 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)],[87])).
% fof(89, 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)],[88])).
% cnf(90,plain,(X3=sdtmndt0(X1,X2)|~aNaturalNumber0(X1)|~aNaturalNumber0(X2)|~sdtlseqdt0(X2,X1)|sdtpldt0(X2,X3)!=X1|~aNaturalNumber0(X3)),inference(split_conjunct,[status(thm)],[89])).
% cnf(91,plain,(sdtpldt0(X2,X3)=X1|~aNaturalNumber0(X1)|~aNaturalNumber0(X2)|~sdtlseqdt0(X2,X1)|X3!=sdtmndt0(X1,X2)),inference(split_conjunct,[status(thm)],[89])).
% cnf(92,plain,(aNaturalNumber0(X3)|~aNaturalNumber0(X1)|~aNaturalNumber0(X2)|~sdtlseqdt0(X2,X1)|X3!=sdtmndt0(X1,X2)),inference(split_conjunct,[status(thm)],[89])).
% fof(99, plain,![X1]:![X2]:![X3]:(((~(aNaturalNumber0(X1))|~(aNaturalNumber0(X2)))|~(aNaturalNumber0(X3)))|((~(sdtlseqdt0(X1,X2))|~(sdtlseqdt0(X2,X3)))|sdtlseqdt0(X1,X3))),inference(fof_nnf,[status(thm)],[13])).
% fof(100, plain,![X4]:![X5]:![X6]:(((~(aNaturalNumber0(X4))|~(aNaturalNumber0(X5)))|~(aNaturalNumber0(X6)))|((~(sdtlseqdt0(X4,X5))|~(sdtlseqdt0(X5,X6)))|sdtlseqdt0(X4,X6))),inference(variable_rename,[status(thm)],[99])).
% cnf(101,plain,(sdtlseqdt0(X1,X2)|~sdtlseqdt0(X3,X2)|~sdtlseqdt0(X1,X3)|~aNaturalNumber0(X2)|~aNaturalNumber0(X3)|~aNaturalNumber0(X1)),inference(split_conjunct,[status(thm)],[100])).
% fof(107, plain,![X1]:![X2]:((~(aNaturalNumber0(X1))|~(aNaturalNumber0(X2)))|((X1=X2|~(sdtlseqdt0(X1,X2)))|![X3]:(~(aNaturalNumber0(X3))|(((~(sdtpldt0(X3,X1)=sdtpldt0(X3,X2))&sdtlseqdt0(sdtpldt0(X3,X1),sdtpldt0(X3,X2)))&~(sdtpldt0(X1,X3)=sdtpldt0(X2,X3)))&sdtlseqdt0(sdtpldt0(X1,X3),sdtpldt0(X2,X3)))))),inference(fof_nnf,[status(thm)],[15])).
% fof(108, plain,![X4]:![X5]:((~(aNaturalNumber0(X4))|~(aNaturalNumber0(X5)))|((X4=X5|~(sdtlseqdt0(X4,X5)))|![X6]:(~(aNaturalNumber0(X6))|(((~(sdtpldt0(X6,X4)=sdtpldt0(X6,X5))&sdtlseqdt0(sdtpldt0(X6,X4),sdtpldt0(X6,X5)))&~(sdtpldt0(X4,X6)=sdtpldt0(X5,X6)))&sdtlseqdt0(sdtpldt0(X4,X6),sdtpldt0(X5,X6)))))),inference(variable_rename,[status(thm)],[107])).
% fof(109, plain,![X4]:![X5]:![X6]:(((~(aNaturalNumber0(X6))|(((~(sdtpldt0(X6,X4)=sdtpldt0(X6,X5))&sdtlseqdt0(sdtpldt0(X6,X4),sdtpldt0(X6,X5)))&~(sdtpldt0(X4,X6)=sdtpldt0(X5,X6)))&sdtlseqdt0(sdtpldt0(X4,X6),sdtpldt0(X5,X6))))|(X4=X5|~(sdtlseqdt0(X4,X5))))|(~(aNaturalNumber0(X4))|~(aNaturalNumber0(X5)))),inference(shift_quantors,[status(thm)],[108])).
% fof(110, plain,![X4]:![X5]:![X6]:((((((~(sdtpldt0(X6,X4)=sdtpldt0(X6,X5))|~(aNaturalNumber0(X6)))|(X4=X5|~(sdtlseqdt0(X4,X5))))|(~(aNaturalNumber0(X4))|~(aNaturalNumber0(X5))))&(((sdtlseqdt0(sdtpldt0(X6,X4),sdtpldt0(X6,X5))|~(aNaturalNumber0(X6)))|(X4=X5|~(sdtlseqdt0(X4,X5))))|(~(aNaturalNumber0(X4))|~(aNaturalNumber0(X5)))))&(((~(sdtpldt0(X4,X6)=sdtpldt0(X5,X6))|~(aNaturalNumber0(X6)))|(X4=X5|~(sdtlseqdt0(X4,X5))))|(~(aNaturalNumber0(X4))|~(aNaturalNumber0(X5)))))&(((sdtlseqdt0(sdtpldt0(X4,X6),sdtpldt0(X5,X6))|~(aNaturalNumber0(X6)))|(X4=X5|~(sdtlseqdt0(X4,X5))))|(~(aNaturalNumber0(X4))|~(aNaturalNumber0(X5))))),inference(distribute,[status(thm)],[109])).
% cnf(113,plain,(X2=X1|sdtlseqdt0(sdtpldt0(X3,X2),sdtpldt0(X3,X1))|~aNaturalNumber0(X1)|~aNaturalNumber0(X2)|~sdtlseqdt0(X2,X1)|~aNaturalNumber0(X3)),inference(split_conjunct,[status(thm)],[110])).
% fof(115, plain,![X1]:![X2]:((~(aNaturalNumber0(X1))|~(aNaturalNumber0(X2)))|((X1=X2|~(sdtlseqdt0(X1,X2)))|iLess0(X1,X2))),inference(fof_nnf,[status(thm)],[16])).
% fof(116, plain,![X3]:![X4]:((~(aNaturalNumber0(X3))|~(aNaturalNumber0(X4)))|((X3=X4|~(sdtlseqdt0(X3,X4)))|iLess0(X3,X4))),inference(variable_rename,[status(thm)],[115])).
% cnf(117,plain,(iLess0(X1,X2)|X1=X2|~sdtlseqdt0(X1,X2)|~aNaturalNumber0(X2)|~aNaturalNumber0(X1)),inference(split_conjunct,[status(thm)],[116])).
% fof(118, 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)],[17])).
% fof(119, 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)],[118])).
% fof(120, 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)],[119])).
% fof(121, 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)],[120])).
% fof(122, 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)],[121])).
% cnf(123,plain,(X1=sdtasdt0(X2,esk2_2(X2,X1))|~aNaturalNumber0(X1)|~aNaturalNumber0(X2)|~doDivides0(X2,X1)),inference(split_conjunct,[status(thm)],[122])).
% cnf(124,plain,(aNaturalNumber0(esk2_2(X2,X1))|~aNaturalNumber0(X1)|~aNaturalNumber0(X2)|~doDivides0(X2,X1)),inference(split_conjunct,[status(thm)],[122])).
% cnf(125,plain,(doDivides0(X2,X1)|~aNaturalNumber0(X1)|~aNaturalNumber0(X2)|X1!=sdtasdt0(X2,X3)|~aNaturalNumber0(X3)),inference(split_conjunct,[status(thm)],[122])).
% fof(126, plain,![X1]:![X2]:![X3]:(((~(aNaturalNumber0(X1))|~(aNaturalNumber0(X2)))|~(aNaturalNumber0(X3)))|((~(doDivides0(X1,X2))|~(doDivides0(X2,X3)))|doDivides0(X1,X3))),inference(fof_nnf,[status(thm)],[18])).
% fof(127, plain,![X4]:![X5]:![X6]:(((~(aNaturalNumber0(X4))|~(aNaturalNumber0(X5)))|~(aNaturalNumber0(X6)))|((~(doDivides0(X4,X5))|~(doDivides0(X5,X6)))|doDivides0(X4,X6))),inference(variable_rename,[status(thm)],[126])).
% cnf(128,plain,(doDivides0(X1,X2)|~doDivides0(X3,X2)|~doDivides0(X1,X3)|~aNaturalNumber0(X2)|~aNaturalNumber0(X3)|~aNaturalNumber0(X1)),inference(split_conjunct,[status(thm)],[127])).
% fof(129, plain,![X1]:![X2]:![X3]:(((~(aNaturalNumber0(X1))|~(aNaturalNumber0(X2)))|~(aNaturalNumber0(X3)))|((~(doDivides0(X1,X2))|~(doDivides0(X1,X3)))|doDivides0(X1,sdtpldt0(X2,X3)))),inference(fof_nnf,[status(thm)],[19])).
% fof(130, plain,![X4]:![X5]:![X6]:(((~(aNaturalNumber0(X4))|~(aNaturalNumber0(X5)))|~(aNaturalNumber0(X6)))|((~(doDivides0(X4,X5))|~(doDivides0(X4,X6)))|doDivides0(X4,sdtpldt0(X5,X6)))),inference(variable_rename,[status(thm)],[129])).
% cnf(131,plain,(doDivides0(X1,sdtpldt0(X2,X3))|~doDivides0(X1,X3)|~doDivides0(X1,X2)|~aNaturalNumber0(X3)|~aNaturalNumber0(X2)|~aNaturalNumber0(X1)),inference(split_conjunct,[status(thm)],[130])).
% fof(132, plain,![X1]:![X2]:![X3]:(((~(aNaturalNumber0(X1))|~(aNaturalNumber0(X2)))|~(aNaturalNumber0(X3)))|((~(doDivides0(X1,X2))|~(doDivides0(X1,sdtpldt0(X2,X3))))|doDivides0(X1,X3))),inference(fof_nnf,[status(thm)],[20])).
% fof(133, plain,![X4]:![X5]:![X6]:(((~(aNaturalNumber0(X4))|~(aNaturalNumber0(X5)))|~(aNaturalNumber0(X6)))|((~(doDivides0(X4,X5))|~(doDivides0(X4,sdtpldt0(X5,X6))))|doDivides0(X4,X6))),inference(variable_rename,[status(thm)],[132])).
% cnf(134,plain,(doDivides0(X1,X2)|~doDivides0(X1,sdtpldt0(X3,X2))|~doDivides0(X1,X3)|~aNaturalNumber0(X2)|~aNaturalNumber0(X3)|~aNaturalNumber0(X1)),inference(split_conjunct,[status(thm)],[133])).
% cnf(135,plain,(aNaturalNumber0(xp)),inference(split_conjunct,[status(thm)],[21])).
% cnf(136,plain,(aNaturalNumber0(xm)),inference(split_conjunct,[status(thm)],[21])).
% cnf(137,plain,(aNaturalNumber0(xn)),inference(split_conjunct,[status(thm)],[21])).
% fof(138, plain,![X1]:![X2]:![X3]:(((~(aNaturalNumber0(X1))|~(aNaturalNumber0(X2)))|~(aNaturalNumber0(X3)))|((~(isPrime0(X3))|~(doDivides0(X3,sdtasdt0(X1,X2))))|(~(iLess0(sdtpldt0(sdtpldt0(X1,X2),X3),sdtpldt0(sdtpldt0(xn,xm),xp)))|(doDivides0(X3,X1)|doDivides0(X3,X2))))),inference(fof_nnf,[status(thm)],[22])).
% fof(139, plain,![X4]:![X5]:![X6]:(((~(aNaturalNumber0(X4))|~(aNaturalNumber0(X5)))|~(aNaturalNumber0(X6)))|((~(isPrime0(X6))|~(doDivides0(X6,sdtasdt0(X4,X5))))|(~(iLess0(sdtpldt0(sdtpldt0(X4,X5),X6),sdtpldt0(sdtpldt0(xn,xm),xp)))|(doDivides0(X6,X4)|doDivides0(X6,X5))))),inference(variable_rename,[status(thm)],[138])).
% cnf(140,plain,(doDivides0(X1,X2)|doDivides0(X1,X3)|~iLess0(sdtpldt0(sdtpldt0(X3,X2),X1),sdtpldt0(sdtpldt0(xn,xm),xp))|~doDivides0(X1,sdtasdt0(X3,X2))|~isPrime0(X1)|~aNaturalNumber0(X1)|~aNaturalNumber0(X2)|~aNaturalNumber0(X3)),inference(split_conjunct,[status(thm)],[139])).
% cnf(142,plain,(isPrime0(xp)),inference(split_conjunct,[status(thm)],[23])).
% cnf(143,plain,(sdtlseqdt0(xp,xn)),inference(split_conjunct,[status(thm)],[24])).
% cnf(144,plain,(xr=sdtmndt0(xn,xp)),inference(split_conjunct,[status(thm)],[25])).
% cnf(145,plain,(sdtlseqdt0(xr,xn)),inference(split_conjunct,[status(thm)],[26])).
% cnf(146,plain,(xr!=xn),inference(split_conjunct,[status(thm)],[26])).
% cnf(147,plain,(doDivides0(xp,sdtasdt0(xr,xm))),inference(split_conjunct,[status(thm)],[27])).
% fof(158, plain,![X1]:![X2]:((~(aNaturalNumber0(X1))|~(aNaturalNumber0(X2)))|(X1=sz00|sdtlseqdt0(X2,sdtasdt0(X2,X1)))),inference(fof_nnf,[status(thm)],[30])).
% fof(159, plain,![X3]:![X4]:((~(aNaturalNumber0(X3))|~(aNaturalNumber0(X4)))|(X3=sz00|sdtlseqdt0(X4,sdtasdt0(X4,X3)))),inference(variable_rename,[status(thm)],[158])).
% cnf(160,plain,(sdtlseqdt0(X1,sdtasdt0(X1,X2))|X2=sz00|~aNaturalNumber0(X1)|~aNaturalNumber0(X2)),inference(split_conjunct,[status(thm)],[159])).
% fof(161, plain,![X1]:(~(aNaturalNumber0(X1))|(sdtpldt0(X1,sz00)=X1&X1=sdtpldt0(sz00,X1))),inference(fof_nnf,[status(thm)],[31])).
% fof(162, plain,![X2]:(~(aNaturalNumber0(X2))|(sdtpldt0(X2,sz00)=X2&X2=sdtpldt0(sz00,X2))),inference(variable_rename,[status(thm)],[161])).
% fof(163, plain,![X2]:((sdtpldt0(X2,sz00)=X2|~(aNaturalNumber0(X2)))&(X2=sdtpldt0(sz00,X2)|~(aNaturalNumber0(X2)))),inference(distribute,[status(thm)],[162])).
% cnf(164,plain,(X1=sdtpldt0(sz00,X1)|~aNaturalNumber0(X1)),inference(split_conjunct,[status(thm)],[163])).
% cnf(165,plain,(sdtpldt0(X1,sz00)=X1|~aNaturalNumber0(X1)),inference(split_conjunct,[status(thm)],[163])).
% fof(166, plain,![X1]:![X2]:((~(aNaturalNumber0(X1))|~(aNaturalNumber0(X2)))|(~(sdtpldt0(X1,X2)=sz00)|(X1=sz00&X2=sz00))),inference(fof_nnf,[status(thm)],[32])).
% fof(167, plain,![X3]:![X4]:((~(aNaturalNumber0(X3))|~(aNaturalNumber0(X4)))|(~(sdtpldt0(X3,X4)=sz00)|(X3=sz00&X4=sz00))),inference(variable_rename,[status(thm)],[166])).
% fof(168, 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)],[167])).
% cnf(169,plain,(X1=sz00|~aNaturalNumber0(X1)|~aNaturalNumber0(X2)|sdtpldt0(X2,X1)!=sz00),inference(split_conjunct,[status(thm)],[168])).
% fof(171, plain,![X1]:(~(aNaturalNumber0(X1))|(sdtasdt0(X1,sz00)=sz00&sz00=sdtasdt0(sz00,X1))),inference(fof_nnf,[status(thm)],[33])).
% fof(172, plain,![X2]:(~(aNaturalNumber0(X2))|(sdtasdt0(X2,sz00)=sz00&sz00=sdtasdt0(sz00,X2))),inference(variable_rename,[status(thm)],[171])).
% fof(173, plain,![X2]:((sdtasdt0(X2,sz00)=sz00|~(aNaturalNumber0(X2)))&(sz00=sdtasdt0(sz00,X2)|~(aNaturalNumber0(X2)))),inference(distribute,[status(thm)],[172])).
% cnf(174,plain,(sz00=sdtasdt0(sz00,X1)|~aNaturalNumber0(X1)),inference(split_conjunct,[status(thm)],[173])).
% cnf(175,plain,(sdtasdt0(X1,sz00)=sz00|~aNaturalNumber0(X1)),inference(split_conjunct,[status(thm)],[173])).
% fof(182, plain,![X1]:![X2]:((~(aNaturalNumber0(X1))|~(aNaturalNumber0(X2)))|(~(sdtasdt0(X1,X2)=sz00)|(X1=sz00|X2=sz00))),inference(fof_nnf,[status(thm)],[35])).
% fof(183, plain,![X3]:![X4]:((~(aNaturalNumber0(X3))|~(aNaturalNumber0(X4)))|(~(sdtasdt0(X3,X4)=sz00)|(X3=sz00|X4=sz00))),inference(variable_rename,[status(thm)],[182])).
% cnf(184,plain,(X1=sz00|X2=sz00|sdtasdt0(X2,X1)!=sz00|~aNaturalNumber0(X1)|~aNaturalNumber0(X2)),inference(split_conjunct,[status(thm)],[183])).
% fof(204, 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)],[38])).
% fof(205, 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)],[204])).
% fof(206, 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)],[205])).
% fof(207, 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)],[206])).
% cnf(208,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)],[207])).
% cnf(209,plain,(X2=sz00|X1=sdtasdt0(X2,X3)|~aNaturalNumber0(X1)|~aNaturalNumber0(X2)|~doDivides0(X2,X1)|X3!=sdtsldt0(X1,X2)),inference(split_conjunct,[status(thm)],[207])).
% cnf(210,plain,(X2=sz00|aNaturalNumber0(X3)|~aNaturalNumber0(X1)|~aNaturalNumber0(X2)|~doDivides0(X2,X1)|X3!=sdtsldt0(X1,X2)),inference(split_conjunct,[status(thm)],[207])).
% fof(211, plain,![X1]:![X2]:((~(aNaturalNumber0(X1))|~(aNaturalNumber0(X2)))|((X1=sz00|~(doDivides0(X1,X2)))|![X3]:(~(aNaturalNumber0(X3))|sdtasdt0(X3,sdtsldt0(X2,X1))=sdtsldt0(sdtasdt0(X3,X2),X1)))),inference(fof_nnf,[status(thm)],[39])).
% fof(212, plain,![X4]:![X5]:((~(aNaturalNumber0(X4))|~(aNaturalNumber0(X5)))|((X4=sz00|~(doDivides0(X4,X5)))|![X6]:(~(aNaturalNumber0(X6))|sdtasdt0(X6,sdtsldt0(X5,X4))=sdtsldt0(sdtasdt0(X6,X5),X4)))),inference(variable_rename,[status(thm)],[211])).
% fof(213, plain,![X4]:![X5]:![X6]:(((~(aNaturalNumber0(X6))|sdtasdt0(X6,sdtsldt0(X5,X4))=sdtsldt0(sdtasdt0(X6,X5),X4))|(X4=sz00|~(doDivides0(X4,X5))))|(~(aNaturalNumber0(X4))|~(aNaturalNumber0(X5)))),inference(shift_quantors,[status(thm)],[212])).
% cnf(214,plain,(X2=sz00|sdtasdt0(X3,sdtsldt0(X1,X2))=sdtsldt0(sdtasdt0(X3,X1),X2)|~aNaturalNumber0(X1)|~aNaturalNumber0(X2)|~doDivides0(X2,X1)|~aNaturalNumber0(X3)),inference(split_conjunct,[status(thm)],[213])).
% fof(215, plain,![X1]:(~(aNaturalNumber0(X1))|(sdtasdt0(X1,sz10)=X1&X1=sdtasdt0(sz10,X1))),inference(fof_nnf,[status(thm)],[40])).
% fof(216, plain,![X2]:(~(aNaturalNumber0(X2))|(sdtasdt0(X2,sz10)=X2&X2=sdtasdt0(sz10,X2))),inference(variable_rename,[status(thm)],[215])).
% fof(217, plain,![X2]:((sdtasdt0(X2,sz10)=X2|~(aNaturalNumber0(X2)))&(X2=sdtasdt0(sz10,X2)|~(aNaturalNumber0(X2)))),inference(distribute,[status(thm)],[216])).
% cnf(218,plain,(X1=sdtasdt0(sz10,X1)|~aNaturalNumber0(X1)),inference(split_conjunct,[status(thm)],[217])).
% cnf(219,plain,(sdtasdt0(X1,sz10)=X1|~aNaturalNumber0(X1)),inference(split_conjunct,[status(thm)],[217])).
% cnf(222,plain,(aNaturalNumber0(sz00)),inference(split_conjunct,[status(thm)],[42])).
% cnf(223,plain,(sz10!=sz00),inference(split_conjunct,[status(thm)],[43])).
% cnf(224,plain,(aNaturalNumber0(sz10)),inference(split_conjunct,[status(thm)],[43])).
% fof(232, negated_conjecture,(~(doDivides0(xp,xr))&~(doDivides0(xp,xm))),inference(fof_nnf,[status(thm)],[47])).
% cnf(233,negated_conjecture,(~doDivides0(xp,xm)),inference(split_conjunct,[status(thm)],[232])).
% cnf(234,negated_conjecture,(~doDivides0(xp,xr)),inference(split_conjunct,[status(thm)],[232])).
% cnf(236,plain,(sdtmndt0(X1,X2)=X3|sdtpldt0(X2,X3)!=X1|~aNaturalNumber0(X3)|~aNaturalNumber0(X2)|~aNaturalNumber0(X1)),inference(csr,[status(thm)],[90,85])).
% cnf(239,plain,(sdtsldt0(X1,X2)=X3|sz00=X2|sdtasdt0(X2,X3)!=X1|~aNaturalNumber0(X3)|~aNaturalNumber0(X2)|~aNaturalNumber0(X1)),inference(csr,[status(thm)],[208,125])).
% cnf(303,plain,(doDivides0(xp,sdtasdt0(xm,xr))|~aNaturalNumber0(xr)|~aNaturalNumber0(xm)),inference(spm,[status(thm)],[147,64,theory(equality)])).
% cnf(317,plain,(doDivides0(xp,sdtasdt0(xm,xr))|~aNaturalNumber0(xr)|$false),inference(rw,[status(thm)],[303,136,theory(equality)])).
% cnf(318,plain,(doDivides0(xp,sdtasdt0(xm,xr))|~aNaturalNumber0(xr)),inference(cn,[status(thm)],[317,theory(equality)])).
% cnf(334,plain,(aNaturalNumber0(esk2_2(xp,sdtasdt0(xr,xm)))|~aNaturalNumber0(xp)|~aNaturalNumber0(sdtasdt0(xr,xm))),inference(spm,[status(thm)],[124,147,theory(equality)])).
% cnf(336,plain,(aNaturalNumber0(esk2_2(xp,sdtasdt0(xr,xm)))|$false|~aNaturalNumber0(sdtasdt0(xr,xm))),inference(rw,[status(thm)],[334,135,theory(equality)])).
% cnf(337,plain,(aNaturalNumber0(esk2_2(xp,sdtasdt0(xr,xm)))|~aNaturalNumber0(sdtasdt0(xr,xm))),inference(cn,[status(thm)],[336,theory(equality)])).
% cnf(364,plain,(aNaturalNumber0(esk1_2(xr,xn))|~aNaturalNumber0(xr)|~aNaturalNumber0(xn)),inference(spm,[status(thm)],[84,145,theory(equality)])).
% cnf(371,plain,(aNaturalNumber0(esk1_2(xr,xn))|~aNaturalNumber0(xr)|$false),inference(rw,[status(thm)],[364,137,theory(equality)])).
% cnf(372,plain,(aNaturalNumber0(esk1_2(xr,xn))|~aNaturalNumber0(xr)),inference(cn,[status(thm)],[371,theory(equality)])).
% cnf(381,plain,(sz00=X1|sdtlseqdt0(X2,sdtasdt0(X1,X2))|~aNaturalNumber0(X1)|~aNaturalNumber0(X2)),inference(spm,[status(thm)],[160,64,theory(equality)])).
% cnf(392,plain,(sdtasdt0(xp,esk2_2(xp,sdtasdt0(xr,xm)))=sdtasdt0(xr,xm)|~aNaturalNumber0(xp)|~aNaturalNumber0(sdtasdt0(xr,xm))),inference(spm,[status(thm)],[123,147,theory(equality)])).
% cnf(394,plain,(sdtasdt0(xp,esk2_2(xp,sdtasdt0(xr,xm)))=sdtasdt0(xr,xm)|$false|~aNaturalNumber0(sdtasdt0(xr,xm))),inference(rw,[status(thm)],[392,135,theory(equality)])).
% cnf(395,plain,(sdtasdt0(xp,esk2_2(xp,sdtasdt0(xr,xm)))=sdtasdt0(xr,xm)|~aNaturalNumber0(sdtasdt0(xr,xm))),inference(cn,[status(thm)],[394,theory(equality)])).
% cnf(420,plain,(doDivides0(X1,sdtasdt0(X1,X2))|~aNaturalNumber0(X2)|~aNaturalNumber0(X1)|~aNaturalNumber0(sdtasdt0(X1,X2))),inference(er,[status(thm)],[125,theory(equality)])).
% cnf(421,plain,(doDivides0(sz10,X1)|X2!=X1|~aNaturalNumber0(X2)|~aNaturalNumber0(sz10)|~aNaturalNumber0(X1)),inference(spm,[status(thm)],[125,218,theory(equality)])).
% cnf(423,plain,(doDivides0(X1,X2)|X1!=X2|~aNaturalNumber0(sz10)|~aNaturalNumber0(X1)|~aNaturalNumber0(X2)),inference(spm,[status(thm)],[125,219,theory(equality)])).
% cnf(425,plain,(doDivides0(X1,X2)|sdtasdt0(X3,X1)!=X2|~aNaturalNumber0(X3)|~aNaturalNumber0(X1)|~aNaturalNumber0(X2)),inference(spm,[status(thm)],[125,64,theory(equality)])).
% cnf(427,plain,(doDivides0(sz10,X1)|X2!=X1|~aNaturalNumber0(X2)|$false|~aNaturalNumber0(X1)),inference(rw,[status(thm)],[421,224,theory(equality)])).
% cnf(428,plain,(doDivides0(sz10,X1)|X2!=X1|~aNaturalNumber0(X2)|~aNaturalNumber0(X1)),inference(cn,[status(thm)],[427,theory(equality)])).
% cnf(429,plain,(doDivides0(sz10,X1)|~aNaturalNumber0(X1)),inference(er,[status(thm)],[428,theory(equality)])).
% cnf(432,plain,(doDivides0(X1,X2)|X1!=X2|$false|~aNaturalNumber0(X1)|~aNaturalNumber0(X2)),inference(rw,[status(thm)],[423,224,theory(equality)])).
% cnf(433,plain,(doDivides0(X1,X2)|X1!=X2|~aNaturalNumber0(X1)|~aNaturalNumber0(X2)),inference(cn,[status(thm)],[432,theory(equality)])).
% cnf(434,plain,(doDivides0(X1,X1)|~aNaturalNumber0(X1)),inference(er,[status(thm)],[433,theory(equality)])).
% cnf(439,plain,(doDivides0(X1,sdtasdt0(xr,xm))|~doDivides0(X1,xp)|~aNaturalNumber0(xp)|~aNaturalNumber0(sdtasdt0(xr,xm))|~aNaturalNumber0(X1)),inference(spm,[status(thm)],[128,147,theory(equality)])).
% cnf(441,plain,(doDivides0(X1,sdtasdt0(xr,xm))|~doDivides0(X1,xp)|$false|~aNaturalNumber0(sdtasdt0(xr,xm))|~aNaturalNumber0(X1)),inference(rw,[status(thm)],[439,135,theory(equality)])).
% cnf(442,plain,(doDivides0(X1,sdtasdt0(xr,xm))|~doDivides0(X1,xp)|~aNaturalNumber0(sdtasdt0(xr,xm))|~aNaturalNumber0(X1)),inference(cn,[status(thm)],[441,theory(equality)])).
% cnf(447,plain,(doDivides0(xp,sdtpldt0(X1,sdtasdt0(xr,xm)))|~doDivides0(xp,X1)|~aNaturalNumber0(sdtasdt0(xr,xm))|~aNaturalNumber0(X1)|~aNaturalNumber0(xp)),inference(spm,[status(thm)],[131,147,theory(equality)])).
% cnf(449,plain,(doDivides0(xp,sdtpldt0(X1,sdtasdt0(xr,xm)))|~doDivides0(xp,X1)|~aNaturalNumber0(sdtasdt0(xr,xm))|~aNaturalNumber0(X1)|$false),inference(rw,[status(thm)],[447,135,theory(equality)])).
% cnf(450,plain,(doDivides0(xp,sdtpldt0(X1,sdtasdt0(xr,xm)))|~doDivides0(xp,X1)|~aNaturalNumber0(sdtasdt0(xr,xm))|~aNaturalNumber0(X1)),inference(cn,[status(thm)],[449,theory(equality)])).
% cnf(455,plain,(doDivides0(X1,X2)|~doDivides0(X1,sdtpldt0(X2,X3))|~doDivides0(X1,X3)|~aNaturalNumber0(X3)|~aNaturalNumber0(X2)|~aNaturalNumber0(X1)),inference(spm,[status(thm)],[134,58,theory(equality)])).
% cnf(464,plain,(sdtpldt0(xr,esk1_2(xr,xn))=xn|~aNaturalNumber0(xr)|~aNaturalNumber0(xn)),inference(spm,[status(thm)],[83,145,theory(equality)])).
% cnf(472,plain,(sdtpldt0(xr,esk1_2(xr,xn))=xn|~aNaturalNumber0(xr)|$false),inference(rw,[status(thm)],[464,137,theory(equality)])).
% cnf(473,plain,(sdtpldt0(xr,esk1_2(xr,xn))=xn|~aNaturalNumber0(xr)),inference(cn,[status(thm)],[472,theory(equality)])).
% cnf(477,plain,(sdtlseqdt0(X1,sdtpldt0(X1,X2))|~aNaturalNumber0(X2)|~aNaturalNumber0(X1)|~aNaturalNumber0(sdtpldt0(X1,X2))),inference(er,[status(thm)],[85,theory(equality)])).
% cnf(478,plain,(sdtlseqdt0(sz00,X1)|X2!=X1|~aNaturalNumber0(X2)|~aNaturalNumber0(sz00)|~aNaturalNumber0(X1)),inference(spm,[status(thm)],[85,164,theory(equality)])).
% cnf(482,plain,(sdtlseqdt0(sz00,X1)|X2!=X1|~aNaturalNumber0(X2)|$false|~aNaturalNumber0(X1)),inference(rw,[status(thm)],[478,222,theory(equality)])).
% cnf(483,plain,(sdtlseqdt0(sz00,X1)|X2!=X1|~aNaturalNumber0(X2)|~aNaturalNumber0(X1)),inference(cn,[status(thm)],[482,theory(equality)])).
% cnf(484,plain,(sdtlseqdt0(sz00,X1)|~aNaturalNumber0(X1)),inference(er,[status(thm)],[483,theory(equality)])).
% cnf(489,plain,(aNaturalNumber0(X1)|xr!=X1|~sdtlseqdt0(xp,xn)|~aNaturalNumber0(xp)|~aNaturalNumber0(xn)),inference(spm,[status(thm)],[92,144,theory(equality)])).
% cnf(490,plain,(aNaturalNumber0(X1)|xr!=X1|$false|~aNaturalNumber0(xp)|~aNaturalNumber0(xn)),inference(rw,[status(thm)],[489,143,theory(equality)])).
% cnf(491,plain,(aNaturalNumber0(X1)|xr!=X1|$false|$false|~aNaturalNumber0(xn)),inference(rw,[status(thm)],[490,135,theory(equality)])).
% cnf(492,plain,(aNaturalNumber0(X1)|xr!=X1|$false|$false|$false),inference(rw,[status(thm)],[491,137,theory(equality)])).
% cnf(493,plain,(aNaturalNumber0(X1)|xr!=X1),inference(cn,[status(thm)],[492,theory(equality)])).
% cnf(496,plain,(X1=sz00|sdtpldt0(X2,X1)!=X2|~aNaturalNumber0(X2)|~aNaturalNumber0(sz00)|~aNaturalNumber0(X1)),inference(spm,[status(thm)],[77,165,theory(equality)])).
% cnf(505,plain,(X1=sz00|sdtpldt0(X2,X1)!=X2|~aNaturalNumber0(X2)|$false|~aNaturalNumber0(X1)),inference(rw,[status(thm)],[496,222,theory(equality)])).
% cnf(506,plain,(X1=sz00|sdtpldt0(X2,X1)!=X2|~aNaturalNumber0(X2)|~aNaturalNumber0(X1)),inference(cn,[status(thm)],[505,theory(equality)])).
% cnf(528,plain,(sz00=X1|aNaturalNumber0(sdtsldt0(X2,X1))|~doDivides0(X1,X2)|~aNaturalNumber0(X1)|~aNaturalNumber0(X2)),inference(er,[status(thm)],[210,theory(equality)])).
% cnf(529,plain,(sdtmndt0(sdtpldt0(X1,X2),X1)=X2|~aNaturalNumber0(X2)|~aNaturalNumber0(X1)|~aNaturalNumber0(sdtpldt0(X1,X2))),inference(er,[status(thm)],[236,theory(equality)])).
% cnf(531,plain,(sdtmndt0(X1,X2)=sz00|X2!=X1|~aNaturalNumber0(sz00)|~aNaturalNumber0(X2)|~aNaturalNumber0(X1)),inference(spm,[status(thm)],[236,165,theory(equality)])).
% cnf(537,plain,(sdtmndt0(X1,X2)=sz00|X2!=X1|$false|~aNaturalNumber0(X2)|~aNaturalNumber0(X1)),inference(rw,[status(thm)],[531,222,theory(equality)])).
% cnf(538,plain,(sdtmndt0(X1,X2)=sz00|X2!=X1|~aNaturalNumber0(X2)|~aNaturalNumber0(X1)),inference(cn,[status(thm)],[537,theory(equality)])).
% cnf(539,plain,(sdtmndt0(X1,X1)=sz00|~aNaturalNumber0(X1)),inference(er,[status(thm)],[538,theory(equality)])).
% cnf(540,plain,(sdtpldt0(X1,sdtmndt0(X2,X1))=X2|~sdtlseqdt0(X1,X2)|~aNaturalNumber0(X1)|~aNaturalNumber0(X2)),inference(er,[status(thm)],[91,theory(equality)])).
% cnf(541,plain,(sdtpldt0(xp,X1)=xn|xr!=X1|~sdtlseqdt0(xp,xn)|~aNaturalNumber0(xp)|~aNaturalNumber0(xn)),inference(spm,[status(thm)],[91,144,theory(equality)])).
% cnf(542,plain,(sdtpldt0(xp,X1)=xn|xr!=X1|$false|~aNaturalNumber0(xp)|~aNaturalNumber0(xn)),inference(rw,[status(thm)],[541,143,theory(equality)])).
% cnf(543,plain,(sdtpldt0(xp,X1)=xn|xr!=X1|$false|$false|~aNaturalNumber0(xn)),inference(rw,[status(thm)],[542,135,theory(equality)])).
% cnf(544,plain,(sdtpldt0(xp,X1)=xn|xr!=X1|$false|$false|$false),inference(rw,[status(thm)],[543,137,theory(equality)])).
% cnf(545,plain,(sdtpldt0(xp,X1)=xn|xr!=X1),inference(cn,[status(thm)],[544,theory(equality)])).
% cnf(573,plain,(sdtlseqdt0(X1,xn)|~sdtlseqdt0(X1,xp)|~aNaturalNumber0(xp)|~aNaturalNumber0(xn)|~aNaturalNumber0(X1)),inference(spm,[status(thm)],[101,143,theory(equality)])).
% cnf(582,plain,(sdtlseqdt0(X1,xn)|~sdtlseqdt0(X1,xp)|$false|~aNaturalNumber0(xn)|~aNaturalNumber0(X1)),inference(rw,[status(thm)],[573,135,theory(equality)])).
% cnf(583,plain,(sdtlseqdt0(X1,xn)|~sdtlseqdt0(X1,xp)|$false|$false|~aNaturalNumber0(X1)),inference(rw,[status(thm)],[582,137,theory(equality)])).
% cnf(584,plain,(sdtlseqdt0(X1,xn)|~sdtlseqdt0(X1,xp)|~aNaturalNumber0(X1)),inference(cn,[status(thm)],[583,theory(equality)])).
% cnf(585,plain,(sdtasdt0(X1,sdtsldt0(X2,X1))=X2|sz00=X1|~doDivides0(X1,X2)|~aNaturalNumber0(X1)|~aNaturalNumber0(X2)),inference(er,[status(thm)],[209,theory(equality)])).
% cnf(613,plain,(sdtpldt0(X1,sdtpldt0(X2,X3))=sdtpldt0(X2,sdtpldt0(X3,X1))|~aNaturalNumber0(sdtpldt0(X2,X3))|~aNaturalNumber0(X1)|~aNaturalNumber0(X3)|~aNaturalNumber0(X2)),inference(spm,[status(thm)],[58,61,theory(equality)])).
% cnf(616,plain,(aNaturalNumber0(sdtpldt0(X1,sdtpldt0(X2,X3)))|~aNaturalNumber0(X3)|~aNaturalNumber0(sdtpldt0(X1,X2))|~aNaturalNumber0(X2)|~aNaturalNumber0(X1)),inference(spm,[status(thm)],[52,61,theory(equality)])).
% cnf(636,plain,(sdtasdt0(X1,sdtasdt0(X2,sz00))=sz00|~aNaturalNumber0(sdtasdt0(X1,X2))|~aNaturalNumber0(sz00)|~aNaturalNumber0(X2)|~aNaturalNumber0(X1)),inference(spm,[status(thm)],[175,67,theory(equality)])).
% cnf(646,plain,(doDivides0(sdtasdt0(X1,X2),X3)|sdtasdt0(X1,sdtasdt0(X2,X4))!=X3|~aNaturalNumber0(X4)|~aNaturalNumber0(sdtasdt0(X1,X2))|~aNaturalNumber0(X3)|~aNaturalNumber0(X2)|~aNaturalNumber0(X1)),inference(spm,[status(thm)],[125,67,theory(equality)])).
% cnf(648,plain,(sdtasdt0(X1,X2)=sdtasdt0(sz10,sdtasdt0(X1,X2))|~aNaturalNumber0(X2)|~aNaturalNumber0(X1)|~aNaturalNumber0(sz10)),inference(spm,[status(thm)],[67,218,theory(equality)])).
% cnf(649,plain,(sdtasdt0(sz00,X2)=sdtasdt0(sz00,sdtasdt0(X1,X2))|~aNaturalNumber0(X2)|~aNaturalNumber0(X1)|~aNaturalNumber0(sz00)),inference(spm,[status(thm)],[67,174,theory(equality)])).
% cnf(656,plain,(sdtasdt0(X1,sdtasdt0(X2,sz00))=sz00|~aNaturalNumber0(sdtasdt0(X1,X2))|$false|~aNaturalNumber0(X2)|~aNaturalNumber0(X1)),inference(rw,[status(thm)],[636,222,theory(equality)])).
% cnf(657,plain,(sdtasdt0(X1,sdtasdt0(X2,sz00))=sz00|~aNaturalNumber0(sdtasdt0(X1,X2))|~aNaturalNumber0(X2)|~aNaturalNumber0(X1)),inference(cn,[status(thm)],[656,theory(equality)])).
% cnf(658,plain,(sdtasdt0(X1,X2)=sdtasdt0(sz10,sdtasdt0(X1,X2))|~aNaturalNumber0(X2)|~aNaturalNumber0(X1)|$false),inference(rw,[status(thm)],[648,224,theory(equality)])).
% cnf(659,plain,(sdtasdt0(X1,X2)=sdtasdt0(sz10,sdtasdt0(X1,X2))|~aNaturalNumber0(X2)|~aNaturalNumber0(X1)),inference(cn,[status(thm)],[658,theory(equality)])).
% cnf(660,plain,(sdtasdt0(sz00,X2)=sdtasdt0(sz00,sdtasdt0(X1,X2))|~aNaturalNumber0(X2)|~aNaturalNumber0(X1)|$false),inference(rw,[status(thm)],[649,222,theory(equality)])).
% cnf(661,plain,(sdtasdt0(sz00,X2)=sdtasdt0(sz00,sdtasdt0(X1,X2))|~aNaturalNumber0(X2)|~aNaturalNumber0(X1)),inference(cn,[status(thm)],[660,theory(equality)])).
% cnf(666,plain,(sz00=sdtasdt0(X1,X2)|sdtasdt0(X1,sdtpldt0(X3,X2))!=sz00|~aNaturalNumber0(sdtasdt0(X1,X3))|~aNaturalNumber0(sdtasdt0(X1,X2))|~aNaturalNumber0(X1)|~aNaturalNumber0(X3)|~aNaturalNumber0(X2)),inference(spm,[status(thm)],[169,72,theory(equality)])).
% cnf(670,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)],[52,72,theory(equality)])).
% cnf(673,plain,(sdtmndt0(X1,sdtasdt0(X2,X3))=sdtasdt0(X2,X4)|sdtasdt0(X2,sdtpldt0(X3,X4))!=X1|~aNaturalNumber0(sdtasdt0(X2,X4))|~aNaturalNumber0(sdtasdt0(X2,X3))|~aNaturalNumber0(X1)|~aNaturalNumber0(X2)|~aNaturalNumber0(X3)|~aNaturalNumber0(X4)),inference(spm,[status(thm)],[236,72,theory(equality)])).
% cnf(677,plain,(sdtlseqdt0(sdtasdt0(X1,X2),X3)|sdtasdt0(X1,sdtpldt0(X2,X4))!=X3|~aNaturalNumber0(sdtasdt0(X1,X4))|~aNaturalNumber0(sdtasdt0(X1,X2))|~aNaturalNumber0(X3)|~aNaturalNumber0(X1)|~aNaturalNumber0(X2)|~aNaturalNumber0(X4)),inference(spm,[status(thm)],[85,72,theory(equality)])).
% cnf(682,plain,(sdtpldt0(sdtasdt0(X1,X2),X1)=sdtasdt0(X1,sdtpldt0(X2,sz10))|~aNaturalNumber0(X1)|~aNaturalNumber0(X2)|~aNaturalNumber0(sz10)),inference(spm,[status(thm)],[72,219,theory(equality)])).
% cnf(683,plain,(sdtpldt0(sdtasdt0(X1,X2),sz00)=sdtasdt0(X1,sdtpldt0(X2,sz00))|~aNaturalNumber0(X1)|~aNaturalNumber0(X2)|~aNaturalNumber0(sz00)),inference(spm,[status(thm)],[72,175,theory(equality)])).
% cnf(687,plain,(sdtpldt0(sz00,sdtasdt0(sz00,X2))=sdtasdt0(sz00,sdtpldt0(X1,X2))|~aNaturalNumber0(sz00)|~aNaturalNumber0(X1)|~aNaturalNumber0(X2)),inference(spm,[status(thm)],[72,174,theory(equality)])).
% cnf(697,plain,(sdtpldt0(sdtasdt0(X1,X2),X1)=sdtasdt0(X1,sdtpldt0(X2,sz10))|~aNaturalNumber0(X1)|~aNaturalNumber0(X2)|$false),inference(rw,[status(thm)],[682,224,theory(equality)])).
% cnf(698,plain,(sdtpldt0(sdtasdt0(X1,X2),X1)=sdtasdt0(X1,sdtpldt0(X2,sz10))|~aNaturalNumber0(X1)|~aNaturalNumber0(X2)),inference(cn,[status(thm)],[697,theory(equality)])).
% cnf(699,plain,(sdtpldt0(sdtasdt0(X1,X2),sz00)=sdtasdt0(X1,sdtpldt0(X2,sz00))|~aNaturalNumber0(X1)|~aNaturalNumber0(X2)|$false),inference(rw,[status(thm)],[683,222,theory(equality)])).
% cnf(700,plain,(sdtpldt0(sdtasdt0(X1,X2),sz00)=sdtasdt0(X1,sdtpldt0(X2,sz00))|~aNaturalNumber0(X1)|~aNaturalNumber0(X2)),inference(cn,[status(thm)],[699,theory(equality)])).
% cnf(703,plain,(sdtpldt0(sz00,sdtasdt0(sz00,X2))=sdtasdt0(sz00,sdtpldt0(X1,X2))|$false|~aNaturalNumber0(X1)|~aNaturalNumber0(X2)),inference(rw,[status(thm)],[687,222,theory(equality)])).
% cnf(704,plain,(sdtpldt0(sz00,sdtasdt0(sz00,X2))=sdtasdt0(sz00,sdtpldt0(X1,X2))|~aNaturalNumber0(X1)|~aNaturalNumber0(X2)),inference(cn,[status(thm)],[703,theory(equality)])).
% cnf(726,plain,(xn=xr|sdtlseqdt0(sdtpldt0(X1,xr),sdtpldt0(X1,xn))|~aNaturalNumber0(X1)|~aNaturalNumber0(xr)|~aNaturalNumber0(xn)),inference(spm,[status(thm)],[113,145,theory(equality)])).
% cnf(733,plain,(xn=xr|sdtlseqdt0(sdtpldt0(X1,xr),sdtpldt0(X1,xn))|~aNaturalNumber0(X1)|~aNaturalNumber0(xr)|$false),inference(rw,[status(thm)],[726,137,theory(equality)])).
% cnf(734,plain,(xn=xr|sdtlseqdt0(sdtpldt0(X1,xr),sdtpldt0(X1,xn))|~aNaturalNumber0(X1)|~aNaturalNumber0(xr)),inference(cn,[status(thm)],[733,theory(equality)])).
% cnf(735,plain,(sdtlseqdt0(sdtpldt0(X1,xr),sdtpldt0(X1,xn))|~aNaturalNumber0(X1)|~aNaturalNumber0(xr)),inference(sr,[status(thm)],[734,146,theory(equality)])).
% cnf(768,plain,(sdtpldt0(sdtasdt0(X1,X2),sz00)=sdtasdt0(sdtpldt0(X1,sz00),X2)|~aNaturalNumber0(X2)|~aNaturalNumber0(X1)|~aNaturalNumber0(sz00)),inference(spm,[status(thm)],[71,174,theory(equality)])).
% cnf(783,plain,(sdtpldt0(sdtasdt0(X1,X2),sz00)=sdtasdt0(sdtpldt0(X1,sz00),X2)|~aNaturalNumber0(X2)|~aNaturalNumber0(X1)|$false),inference(rw,[status(thm)],[768,222,theory(equality)])).
% cnf(784,plain,(sdtpldt0(sdtasdt0(X1,X2),sz00)=sdtasdt0(sdtpldt0(X1,sz00),X2)|~aNaturalNumber0(X2)|~aNaturalNumber0(X1)),inference(cn,[status(thm)],[783,theory(equality)])).
% cnf(864,plain,(aNaturalNumber0(xr)),inference(er,[status(thm)],[493,theory(equality)])).
% cnf(1027,plain,(sdtpldt0(xp,xr)=xn),inference(er,[status(thm)],[545,theory(equality)])).
% cnf(1031,plain,(sdtpldt0(xn,X1)=sdtpldt0(xp,sdtpldt0(xr,X1))|~aNaturalNumber0(X1)|~aNaturalNumber0(xr)|~aNaturalNumber0(xp)),inference(spm,[status(thm)],[61,1027,theory(equality)])).
% cnf(1032,plain,(X1=xp|sdtpldt0(X1,xr)!=xn|~aNaturalNumber0(xr)|~aNaturalNumber0(xp)|~aNaturalNumber0(X1)),inference(spm,[status(thm)],[76,1027,theory(equality)])).
% cnf(1036,plain,(doDivides0(X1,xr)|~doDivides0(X1,xn)|~doDivides0(X1,xp)|~aNaturalNumber0(xp)|~aNaturalNumber0(xr)|~aNaturalNumber0(X1)),inference(spm,[status(thm)],[134,1027,theory(equality)])).
% cnf(1049,plain,(sdtpldt0(xn,X1)=sdtpldt0(xp,sdtpldt0(xr,X1))|~aNaturalNumber0(X1)|$false|~aNaturalNumber0(xp)),inference(rw,[status(thm)],[1031,864,theory(equality)])).
% cnf(1050,plain,(sdtpldt0(xn,X1)=sdtpldt0(xp,sdtpldt0(xr,X1))|~aNaturalNumber0(X1)|$false|$false),inference(rw,[status(thm)],[1049,135,theory(equality)])).
% cnf(1051,plain,(sdtpldt0(xn,X1)=sdtpldt0(xp,sdtpldt0(xr,X1))|~aNaturalNumber0(X1)),inference(cn,[status(thm)],[1050,theory(equality)])).
% cnf(1052,plain,(X1=xp|sdtpldt0(X1,xr)!=xn|$false|~aNaturalNumber0(xp)|~aNaturalNumber0(X1)),inference(rw,[status(thm)],[1032,864,theory(equality)])).
% cnf(1053,plain,(X1=xp|sdtpldt0(X1,xr)!=xn|$false|$false|~aNaturalNumber0(X1)),inference(rw,[status(thm)],[1052,135,theory(equality)])).
% cnf(1054,plain,(X1=xp|sdtpldt0(X1,xr)!=xn|~aNaturalNumber0(X1)),inference(cn,[status(thm)],[1053,theory(equality)])).
% cnf(1064,plain,(doDivides0(X1,xr)|~doDivides0(X1,xn)|~doDivides0(X1,xp)|$false|~aNaturalNumber0(xr)|~aNaturalNumber0(X1)),inference(rw,[status(thm)],[1036,135,theory(equality)])).
% cnf(1065,plain,(doDivides0(X1,xr)|~doDivides0(X1,xn)|~doDivides0(X1,xp)|$false|$false|~aNaturalNumber0(X1)),inference(rw,[status(thm)],[1064,864,theory(equality)])).
% cnf(1066,plain,(doDivides0(X1,xr)|~doDivides0(X1,xn)|~doDivides0(X1,xp)|~aNaturalNumber0(X1)),inference(cn,[status(thm)],[1065,theory(equality)])).
% cnf(1075,plain,(sdtlseqdt0(sdtpldt0(X1,xr),sdtpldt0(X1,xn))|~aNaturalNumber0(X1)|$false),inference(rw,[status(thm)],[735,864,theory(equality)])).
% cnf(1076,plain,(sdtlseqdt0(sdtpldt0(X1,xr),sdtpldt0(X1,xn))|~aNaturalNumber0(X1)),inference(cn,[status(thm)],[1075,theory(equality)])).
% cnf(1088,plain,(sdtlseqdt0(sdtpldt0(X1,xr),sdtpldt0(xn,X1))|~aNaturalNumber0(X1)|~aNaturalNumber0(xn)),inference(spm,[status(thm)],[1076,58,theory(equality)])).
% cnf(1100,plain,(sdtlseqdt0(sdtpldt0(X1,xr),sdtpldt0(xn,X1))|~aNaturalNumber0(X1)|$false),inference(rw,[status(thm)],[1088,137,theory(equality)])).
% cnf(1101,plain,(sdtlseqdt0(sdtpldt0(X1,xr),sdtpldt0(xn,X1))|~aNaturalNumber0(X1)),inference(cn,[status(thm)],[1100,theory(equality)])).
% cnf(1115,plain,(doDivides0(xp,sdtasdt0(xm,xr))|$false),inference(rw,[status(thm)],[318,864,theory(equality)])).
% cnf(1116,plain,(doDivides0(xp,sdtasdt0(xm,xr))),inference(cn,[status(thm)],[1115,theory(equality)])).
% cnf(1124,plain,(doDivides0(xp,xm)|doDivides0(xp,xr)|~isPrime0(xp)|~iLess0(sdtpldt0(sdtpldt0(xm,xr),xp),sdtpldt0(sdtpldt0(xn,xm),xp))|~aNaturalNumber0(xm)|~aNaturalNumber0(xr)|~aNaturalNumber0(xp)),inference(spm,[status(thm)],[140,1116,theory(equality)])).
% cnf(1139,plain,(doDivides0(xp,xm)|doDivides0(xp,xr)|$false|~iLess0(sdtpldt0(sdtpldt0(xm,xr),xp),sdtpldt0(sdtpldt0(xn,xm),xp))|~aNaturalNumber0(xm)|~aNaturalNumber0(xr)|~aNaturalNumber0(xp)),inference(rw,[status(thm)],[1124,142,theory(equality)])).
% cnf(1140,plain,(doDivides0(xp,xm)|doDivides0(xp,xr)|$false|~iLess0(sdtpldt0(sdtpldt0(xm,xr),xp),sdtpldt0(sdtpldt0(xn,xm),xp))|$false|~aNaturalNumber0(xr)|~aNaturalNumber0(xp)),inference(rw,[status(thm)],[1139,136,theory(equality)])).
% cnf(1141,plain,(doDivides0(xp,xm)|doDivides0(xp,xr)|$false|~iLess0(sdtpldt0(sdtpldt0(xm,xr),xp),sdtpldt0(sdtpldt0(xn,xm),xp))|$false|$false|~aNaturalNumber0(xp)),inference(rw,[status(thm)],[1140,864,theory(equality)])).
% cnf(1142,plain,(doDivides0(xp,xm)|doDivides0(xp,xr)|$false|~iLess0(sdtpldt0(sdtpldt0(xm,xr),xp),sdtpldt0(sdtpldt0(xn,xm),xp))|$false|$false|$false),inference(rw,[status(thm)],[1141,135,theory(equality)])).
% cnf(1143,plain,(doDivides0(xp,xm)|doDivides0(xp,xr)|~iLess0(sdtpldt0(sdtpldt0(xm,xr),xp),sdtpldt0(sdtpldt0(xn,xm),xp))),inference(cn,[status(thm)],[1142,theory(equality)])).
% cnf(1144,plain,(doDivides0(xp,xr)|~iLess0(sdtpldt0(sdtpldt0(xm,xr),xp),sdtpldt0(sdtpldt0(xn,xm),xp))),inference(sr,[status(thm)],[1143,233,theory(equality)])).
% cnf(1145,plain,(~iLess0(sdtpldt0(sdtpldt0(xm,xr),xp),sdtpldt0(sdtpldt0(xn,xm),xp))),inference(sr,[status(thm)],[1144,234,theory(equality)])).
% cnf(1277,plain,(sdtlseqdt0(sdtpldt0(xr,X1),sdtpldt0(xn,X1))|~aNaturalNumber0(X1)|~aNaturalNumber0(xr)),inference(spm,[status(thm)],[1101,58,theory(equality)])).
% cnf(1294,plain,(sdtlseqdt0(sdtpldt0(xr,X1),sdtpldt0(xn,X1))|~aNaturalNumber0(X1)|$false),inference(rw,[status(thm)],[1277,864,theory(equality)])).
% cnf(1295,plain,(sdtlseqdt0(sdtpldt0(xr,X1),sdtpldt0(xn,X1))|~aNaturalNumber0(X1)),inference(cn,[status(thm)],[1294,theory(equality)])).
% cnf(1303,plain,(doDivides0(sz10,xr)|~doDivides0(sz10,xp)|~aNaturalNumber0(sz10)|~aNaturalNumber0(xn)),inference(spm,[status(thm)],[1066,429,theory(equality)])).
% cnf(1309,plain,(doDivides0(sz10,xr)|~doDivides0(sz10,xp)|$false|~aNaturalNumber0(xn)),inference(rw,[status(thm)],[1303,224,theory(equality)])).
% cnf(1310,plain,(doDivides0(sz10,xr)|~doDivides0(sz10,xp)|$false|$false),inference(rw,[status(thm)],[1309,137,theory(equality)])).
% cnf(1311,plain,(doDivides0(sz10,xr)|~doDivides0(sz10,xp)),inference(cn,[status(thm)],[1310,theory(equality)])).
% cnf(1425,plain,(doDivides0(sz10,xr)|~aNaturalNumber0(xp)),inference(spm,[status(thm)],[1311,429,theory(equality)])).
% cnf(1426,plain,(doDivides0(sz10,xr)|$false),inference(rw,[status(thm)],[1425,135,theory(equality)])).
% cnf(1427,plain,(doDivides0(sz10,xr)),inference(cn,[status(thm)],[1426,theory(equality)])).
% cnf(1429,plain,(aNaturalNumber0(esk2_2(sz10,xr))|~aNaturalNumber0(sz10)|~aNaturalNumber0(xr)),inference(spm,[status(thm)],[124,1427,theory(equality)])).
% cnf(1430,plain,(sdtasdt0(sz10,esk2_2(sz10,xr))=xr|~aNaturalNumber0(sz10)|~aNaturalNumber0(xr)),inference(spm,[status(thm)],[123,1427,theory(equality)])).
% cnf(1432,plain,(sdtsldt0(sdtasdt0(X1,xr),sz10)=sdtasdt0(X1,sdtsldt0(xr,sz10))|sz00=sz10|~aNaturalNumber0(X1)|~aNaturalNumber0(sz10)|~aNaturalNumber0(xr)),inference(spm,[status(thm)],[214,1427,theory(equality)])).
% cnf(1438,plain,(aNaturalNumber0(esk2_2(sz10,xr))|$false|~aNaturalNumber0(xr)),inference(rw,[status(thm)],[1429,224,theory(equality)])).
% cnf(1439,plain,(aNaturalNumber0(esk2_2(sz10,xr))|$false|$false),inference(rw,[status(thm)],[1438,864,theory(equality)])).
% cnf(1440,plain,(aNaturalNumber0(esk2_2(sz10,xr))),inference(cn,[status(thm)],[1439,theory(equality)])).
% cnf(1441,plain,(sdtasdt0(sz10,esk2_2(sz10,xr))=xr|$false|~aNaturalNumber0(xr)),inference(rw,[status(thm)],[1430,224,theory(equality)])).
% cnf(1442,plain,(sdtasdt0(sz10,esk2_2(sz10,xr))=xr|$false|$false),inference(rw,[status(thm)],[1441,864,theory(equality)])).
% cnf(1443,plain,(sdtasdt0(sz10,esk2_2(sz10,xr))=xr),inference(cn,[status(thm)],[1442,theory(equality)])).
% cnf(1447,plain,(sdtsldt0(sdtasdt0(X1,xr),sz10)=sdtasdt0(X1,sdtsldt0(xr,sz10))|sz00=sz10|~aNaturalNumber0(X1)|$false|~aNaturalNumber0(xr)),inference(rw,[status(thm)],[1432,224,theory(equality)])).
% cnf(1448,plain,(sdtsldt0(sdtasdt0(X1,xr),sz10)=sdtasdt0(X1,sdtsldt0(xr,sz10))|sz00=sz10|~aNaturalNumber0(X1)|$false|$false),inference(rw,[status(thm)],[1447,864,theory(equality)])).
% cnf(1449,plain,(sdtsldt0(sdtasdt0(X1,xr),sz10)=sdtasdt0(X1,sdtsldt0(xr,sz10))|sz00=sz10|~aNaturalNumber0(X1)),inference(cn,[status(thm)],[1448,theory(equality)])).
% cnf(1450,plain,(sdtsldt0(sdtasdt0(X1,xr),sz10)=sdtasdt0(X1,sdtsldt0(xr,sz10))|~aNaturalNumber0(X1)),inference(sr,[status(thm)],[1449,223,theory(equality)])).
% cnf(1531,plain,(aNaturalNumber0(esk1_2(xr,xn))|$false),inference(rw,[status(thm)],[372,864,theory(equality)])).
% cnf(1532,plain,(aNaturalNumber0(esk1_2(xr,xn))),inference(cn,[status(thm)],[1531,theory(equality)])).
% cnf(1579,plain,(xr=esk2_2(sz10,xr)|~aNaturalNumber0(esk2_2(sz10,xr))),inference(spm,[status(thm)],[218,1443,theory(equality)])).
% cnf(1631,plain,(xr=esk2_2(sz10,xr)|$false),inference(rw,[status(thm)],[1579,1440,theory(equality)])).
% cnf(1632,plain,(xr=esk2_2(sz10,xr)),inference(cn,[status(thm)],[1631,theory(equality)])).
% cnf(1635,plain,(sdtasdt0(sz10,xr)=xr),inference(rw,[status(thm)],[1443,1632,theory(equality)])).
% cnf(1643,plain,(sdtpldt0(xr,sdtasdt0(sz10,X1))=sdtasdt0(sz10,sdtpldt0(xr,X1))|~aNaturalNumber0(sz10)|~aNaturalNumber0(xr)|~aNaturalNumber0(X1)),inference(spm,[status(thm)],[72,1635,theory(equality)])).
% cnf(1645,plain,(sdtsldt0(X1,sz10)=xr|sz00=sz10|xr!=X1|~aNaturalNumber0(xr)|~aNaturalNumber0(sz10)|~aNaturalNumber0(X1)),inference(spm,[status(thm)],[239,1635,theory(equality)])).
% cnf(1673,plain,(sdtpldt0(xr,sdtasdt0(sz10,X1))=sdtasdt0(sz10,sdtpldt0(xr,X1))|$false|~aNaturalNumber0(xr)|~aNaturalNumber0(X1)),inference(rw,[status(thm)],[1643,224,theory(equality)])).
% cnf(1674,plain,(sdtpldt0(xr,sdtasdt0(sz10,X1))=sdtasdt0(sz10,sdtpldt0(xr,X1))|$false|$false|~aNaturalNumber0(X1)),inference(rw,[status(thm)],[1673,864,theory(equality)])).
% cnf(1675,plain,(sdtpldt0(xr,sdtasdt0(sz10,X1))=sdtasdt0(sz10,sdtpldt0(xr,X1))|~aNaturalNumber0(X1)),inference(cn,[status(thm)],[1674,theory(equality)])).
% cnf(1679,plain,(sdtsldt0(X1,sz10)=xr|sz00=sz10|xr!=X1|$false|~aNaturalNumber0(sz10)|~aNaturalNumber0(X1)),inference(rw,[status(thm)],[1645,864,theory(equality)])).
% cnf(1680,plain,(sdtsldt0(X1,sz10)=xr|sz00=sz10|xr!=X1|$false|$false|~aNaturalNumber0(X1)),inference(rw,[status(thm)],[1679,224,theory(equality)])).
% cnf(1681,plain,(sdtsldt0(X1,sz10)=xr|sz00=sz10|xr!=X1|~aNaturalNumber0(X1)),inference(cn,[status(thm)],[1680,theory(equality)])).
% cnf(1682,plain,(sdtsldt0(X1,sz10)=xr|xr!=X1|~aNaturalNumber0(X1)),inference(sr,[status(thm)],[1681,223,theory(equality)])).
% cnf(1718,plain,(sdtsldt0(X1,sz10)=xr|xr!=X1),inference(csr,[status(thm)],[1682,493])).
% cnf(1719,plain,(sdtsldt0(xr,sz10)=xr),inference(er,[status(thm)],[1718,theory(equality)])).
% cnf(1845,plain,(sdtsldt0(sdtasdt0(X1,xr),sz10)=sdtasdt0(X1,xr)|~aNaturalNumber0(X1)),inference(rw,[status(thm)],[1450,1719,theory(equality)])).
% cnf(1850,plain,(sdtsldt0(sz00,sz10)=sz00|~aNaturalNumber0(sz00)|~aNaturalNumber0(xr)),inference(spm,[status(thm)],[1845,174,theory(equality)])).
% cnf(1867,plain,(sdtsldt0(sz00,sz10)=sz00|$false|~aNaturalNumber0(xr)),inference(rw,[status(thm)],[1850,222,theory(equality)])).
% cnf(1868,plain,(sdtsldt0(sz00,sz10)=sz00|$false|$false),inference(rw,[status(thm)],[1867,864,theory(equality)])).
% cnf(1869,plain,(sdtsldt0(sz00,sz10)=sz00),inference(cn,[status(thm)],[1868,theory(equality)])).
% cnf(1876,plain,(sz00=sz10|aNaturalNumber0(X1)|sz00!=X1|~doDivides0(sz10,sz00)|~aNaturalNumber0(sz10)|~aNaturalNumber0(sz00)),inference(spm,[status(thm)],[210,1869,theory(equality)])).
% cnf(1877,plain,(sdtasdt0(sz10,X1)=sz00|sz00=sz10|sz00!=X1|~doDivides0(sz10,sz00)|~aNaturalNumber0(sz10)|~aNaturalNumber0(sz00)),inference(spm,[status(thm)],[209,1869,theory(equality)])).
% cnf(1878,plain,(sz00=sz10|aNaturalNumber0(X1)|sz00!=X1|~doDivides0(sz10,sz00)|$false|~aNaturalNumber0(sz00)),inference(rw,[status(thm)],[1876,224,theory(equality)])).
% cnf(1879,plain,(sz00=sz10|aNaturalNumber0(X1)|sz00!=X1|~doDivides0(sz10,sz00)|$false|$false),inference(rw,[status(thm)],[1878,222,theory(equality)])).
% cnf(1880,plain,(sz00=sz10|aNaturalNumber0(X1)|sz00!=X1|~doDivides0(sz10,sz00)),inference(cn,[status(thm)],[1879,theory(equality)])).
% cnf(1881,plain,(aNaturalNumber0(X1)|sz00!=X1|~doDivides0(sz10,sz00)),inference(sr,[status(thm)],[1880,223,theory(equality)])).
% cnf(1882,plain,(sdtasdt0(sz10,X1)=sz00|sz00=sz10|sz00!=X1|~doDivides0(sz10,sz00)|$false|~aNaturalNumber0(sz00)),inference(rw,[status(thm)],[1877,224,theory(equality)])).
% cnf(1883,plain,(sdtasdt0(sz10,X1)=sz00|sz00=sz10|sz00!=X1|~doDivides0(sz10,sz00)|$false|$false),inference(rw,[status(thm)],[1882,222,theory(equality)])).
% cnf(1884,plain,(sdtasdt0(sz10,X1)=sz00|sz00=sz10|sz00!=X1|~doDivides0(sz10,sz00)),inference(cn,[status(thm)],[1883,theory(equality)])).
% cnf(1885,plain,(sdtasdt0(sz10,X1)=sz00|sz00!=X1|~doDivides0(sz10,sz00)),inference(sr,[status(thm)],[1884,223,theory(equality)])).
% cnf(1886,plain,(aNaturalNumber0(X1)|sz00!=X1|~aNaturalNumber0(sz00)),inference(spm,[status(thm)],[1881,429,theory(equality)])).
% cnf(1887,plain,(aNaturalNumber0(X1)|sz00!=X1|$false),inference(rw,[status(thm)],[1886,222,theory(equality)])).
% cnf(1888,plain,(aNaturalNumber0(X1)|sz00!=X1),inference(cn,[status(thm)],[1887,theory(equality)])).
% cnf(1957,plain,(sdtasdt0(sz10,X1)=sz00|sz00!=X1|~aNaturalNumber0(sz00)),inference(spm,[status(thm)],[1885,429,theory(equality)])).
% cnf(1958,plain,(sdtasdt0(sz10,X1)=sz00|sz00!=X1|$false),inference(rw,[status(thm)],[1957,222,theory(equality)])).
% cnf(1959,plain,(sdtasdt0(sz10,X1)=sz00|sz00!=X1),inference(cn,[status(thm)],[1958,theory(equality)])).
% cnf(1960,plain,(sdtasdt0(sz10,sz00)=sz00),inference(er,[status(thm)],[1959,theory(equality)])).
% cnf(1961,plain,(sdtasdt0(sz00,sz10)=sz00|~aNaturalNumber0(sz10)|~aNaturalNumber0(sz00)),inference(spm,[status(thm)],[64,1960,theory(equality)])).
% cnf(1965,plain,(sdtasdt0(sz00,X1)=sdtasdt0(sz10,sdtasdt0(sz00,X1))|~aNaturalNumber0(X1)|~aNaturalNumber0(sz00)|~aNaturalNumber0(sz10)),inference(spm,[status(thm)],[67,1960,theory(equality)])).
% cnf(1976,plain,(sdtasdt0(sz00,sz10)=sz00|$false|~aNaturalNumber0(sz00)),inference(rw,[status(thm)],[1961,224,theory(equality)])).
% cnf(1977,plain,(sdtasdt0(sz00,sz10)=sz00|$false|$false),inference(rw,[status(thm)],[1976,222,theory(equality)])).
% cnf(1978,plain,(sdtasdt0(sz00,sz10)=sz00),inference(cn,[status(thm)],[1977,theory(equality)])).
% cnf(1990,plain,(sdtasdt0(sz00,X1)=sdtasdt0(sz10,sdtasdt0(sz00,X1))|~aNaturalNumber0(X1)|$false|~aNaturalNumber0(sz10)),inference(rw,[status(thm)],[1965,222,theory(equality)])).
% cnf(1991,plain,(sdtasdt0(sz00,X1)=sdtasdt0(sz10,sdtasdt0(sz00,X1))|~aNaturalNumber0(X1)|$false|$false),inference(rw,[status(thm)],[1990,224,theory(equality)])).
% cnf(1992,plain,(sdtasdt0(sz00,X1)=sdtasdt0(sz10,sdtasdt0(sz00,X1))|~aNaturalNumber0(X1)),inference(cn,[status(thm)],[1991,theory(equality)])).
% cnf(2023,plain,(sz00=sz10|sdtlseqdt0(sz00,sz00)|~aNaturalNumber0(sz10)|~aNaturalNumber0(sz00)),inference(spm,[status(thm)],[160,1978,theory(equality)])).
% cnf(2036,plain,(sz00=sz10|sdtlseqdt0(sz00,sz00)|$false|~aNaturalNumber0(sz00)),inference(rw,[status(thm)],[2023,224,theory(equality)])).
% cnf(2037,plain,(sz00=sz10|sdtlseqdt0(sz00,sz00)|$false|$false),inference(rw,[status(thm)],[2036,222,theory(equality)])).
% cnf(2038,plain,(sz00=sz10|sdtlseqdt0(sz00,sz00)),inference(cn,[status(thm)],[2037,theory(equality)])).
% cnf(2039,plain,(sdtlseqdt0(sz00,sz00)),inference(sr,[status(thm)],[2038,223,theory(equality)])).
% cnf(2077,plain,(aNaturalNumber0(esk1_2(sz00,sz00))|~aNaturalNumber0(sz00)),inference(spm,[status(thm)],[84,2039,theory(equality)])).
% cnf(2078,plain,(sdtpldt0(sz00,esk1_2(sz00,sz00))=sz00|~aNaturalNumber0(sz00)),inference(spm,[status(thm)],[83,2039,theory(equality)])).
% cnf(2080,plain,(aNaturalNumber0(esk1_2(sz00,sz00))|$false),inference(rw,[status(thm)],[2077,222,theory(equality)])).
% cnf(2081,plain,(aNaturalNumber0(esk1_2(sz00,sz00))),inference(cn,[status(thm)],[2080,theory(equality)])).
% cnf(2082,plain,(sdtpldt0(sz00,esk1_2(sz00,sz00))=sz00|$false),inference(rw,[status(thm)],[2078,222,theory(equality)])).
% cnf(2083,plain,(sdtpldt0(sz00,esk1_2(sz00,sz00))=sz00),inference(cn,[status(thm)],[2082,theory(equality)])).
% cnf(2087,plain,(sz00=esk1_2(sz00,sz00)|~aNaturalNumber0(sz00)|~aNaturalNumber0(esk1_2(sz00,sz00))),inference(spm,[status(thm)],[169,2083,theory(equality)])).
% cnf(2098,plain,(sz00=esk1_2(sz00,sz00)|$false|~aNaturalNumber0(esk1_2(sz00,sz00))),inference(rw,[status(thm)],[2087,222,theory(equality)])).
% cnf(2099,plain,(sz00=esk1_2(sz00,sz00)|$false|$false),inference(rw,[status(thm)],[2098,2081,theory(equality)])).
% cnf(2100,plain,(sz00=esk1_2(sz00,sz00)),inference(cn,[status(thm)],[2099,theory(equality)])).
% cnf(2133,plain,(aNaturalNumber0(esk2_2(xp,sdtasdt0(xr,xm)))|~aNaturalNumber0(xm)|~aNaturalNumber0(xr)),inference(spm,[status(thm)],[337,55,theory(equality)])).
% cnf(2140,plain,(aNaturalNumber0(esk2_2(xp,sdtasdt0(xr,xm)))|$false|~aNaturalNumber0(xr)),inference(rw,[status(thm)],[2133,136,theory(equality)])).
% cnf(2141,plain,(aNaturalNumber0(esk2_2(xp,sdtasdt0(xr,xm)))|$false|$false),inference(rw,[status(thm)],[2140,864,theory(equality)])).
% cnf(2142,plain,(aNaturalNumber0(esk2_2(xp,sdtasdt0(xr,xm)))),inference(cn,[status(thm)],[2141,theory(equality)])).
% cnf(2146,plain,(sdtpldt0(sz00,sz00)=sz00),inference(rw,[status(thm)],[2083,2100,theory(equality)])).
% cnf(2156,plain,(sdtpldt0(sz00,X1)=sdtpldt0(sz00,sdtpldt0(sz00,X1))|~aNaturalNumber0(X1)|~aNaturalNumber0(sz00)),inference(spm,[status(thm)],[61,2146,theory(equality)])).
% cnf(2173,plain,(sdtpldt0(sz00,X1)=sdtpldt0(sz00,sdtpldt0(sz00,X1))|~aNaturalNumber0(X1)|$false),inference(rw,[status(thm)],[2156,222,theory(equality)])).
% cnf(2174,plain,(sdtpldt0(sz00,X1)=sdtpldt0(sz00,sdtpldt0(sz00,X1))|~aNaturalNumber0(X1)),inference(cn,[status(thm)],[2173,theory(equality)])).
% cnf(2397,plain,(X1=xp|sdtpldt0(xr,X1)!=xn|~aNaturalNumber0(X1)|~aNaturalNumber0(xr)),inference(spm,[status(thm)],[1054,58,theory(equality)])).
% cnf(2404,plain,(X1=xp|sdtpldt0(xr,X1)!=xn|~aNaturalNumber0(X1)|$false),inference(rw,[status(thm)],[2397,864,theory(equality)])).
% cnf(2405,plain,(X1=xp|sdtpldt0(xr,X1)!=xn|~aNaturalNumber0(X1)),inference(cn,[status(thm)],[2404,theory(equality)])).
% cnf(2792,plain,(sdtlseqdt0(sz00,xn)|~aNaturalNumber0(sz00)|~aNaturalNumber0(xp)),inference(spm,[status(thm)],[584,484,theory(equality)])).
% cnf(2804,plain,(sdtlseqdt0(sz00,xn)|$false|~aNaturalNumber0(xp)),inference(rw,[status(thm)],[2792,222,theory(equality)])).
% cnf(2805,plain,(sdtlseqdt0(sz00,xn)|$false|$false),inference(rw,[status(thm)],[2804,135,theory(equality)])).
% cnf(2806,plain,(sdtlseqdt0(sz00,xn)),inference(cn,[status(thm)],[2805,theory(equality)])).
% cnf(2969,plain,(aNaturalNumber0(esk1_2(sz00,xn))|~aNaturalNumber0(sz00)|~aNaturalNumber0(xn)),inference(spm,[status(thm)],[84,2806,theory(equality)])).
% cnf(2970,plain,(sdtpldt0(sz00,esk1_2(sz00,xn))=xn|~aNaturalNumber0(sz00)|~aNaturalNumber0(xn)),inference(spm,[status(thm)],[83,2806,theory(equality)])).
% cnf(2986,plain,(aNaturalNumber0(esk1_2(sz00,xn))|$false|~aNaturalNumber0(xn)),inference(rw,[status(thm)],[2969,222,theory(equality)])).
% cnf(2987,plain,(aNaturalNumber0(esk1_2(sz00,xn))|$false|$false),inference(rw,[status(thm)],[2986,137,theory(equality)])).
% cnf(2988,plain,(aNaturalNumber0(esk1_2(sz00,xn))),inference(cn,[status(thm)],[2987,theory(equality)])).
% cnf(2989,plain,(sdtpldt0(sz00,esk1_2(sz00,xn))=xn|$false|~aNaturalNumber0(xn)),inference(rw,[status(thm)],[2970,222,theory(equality)])).
% cnf(2990,plain,(sdtpldt0(sz00,esk1_2(sz00,xn))=xn|$false|$false),inference(rw,[status(thm)],[2989,137,theory(equality)])).
% cnf(2991,plain,(sdtpldt0(sz00,esk1_2(sz00,xn))=xn),inference(cn,[status(thm)],[2990,theory(equality)])).
% cnf(3110,plain,(sdtpldt0(sz00,xn)=xn|~aNaturalNumber0(esk1_2(sz00,xn))),inference(spm,[status(thm)],[2174,2991,theory(equality)])).
% cnf(3146,plain,(sdtpldt0(sz00,xn)=xn|$false),inference(rw,[status(thm)],[3110,2988,theory(equality)])).
% cnf(3147,plain,(sdtpldt0(sz00,xn)=xn),inference(cn,[status(thm)],[3146,theory(equality)])).
% cnf(3617,plain,(sz00=sz10|sdtlseqdt0(xr,xr)|~aNaturalNumber0(sz10)|~aNaturalNumber0(xr)),inference(spm,[status(thm)],[381,1635,theory(equality)])).
% cnf(3631,plain,(sz00=sz10|sdtlseqdt0(xr,xr)|$false|~aNaturalNumber0(xr)),inference(rw,[status(thm)],[3617,224,theory(equality)])).
% cnf(3632,plain,(sz00=sz10|sdtlseqdt0(xr,xr)|$false|$false),inference(rw,[status(thm)],[3631,864,theory(equality)])).
% cnf(3633,plain,(sz00=sz10|sdtlseqdt0(xr,xr)),inference(cn,[status(thm)],[3632,theory(equality)])).
% cnf(3634,plain,(sdtlseqdt0(xr,xr)),inference(sr,[status(thm)],[3633,223,theory(equality)])).
% cnf(3653,plain,(aNaturalNumber0(esk1_2(xr,xr))|~aNaturalNumber0(xr)),inference(spm,[status(thm)],[84,3634,theory(equality)])).
% cnf(3654,plain,(sdtpldt0(xr,esk1_2(xr,xr))=xr|~aNaturalNumber0(xr)),inference(spm,[status(thm)],[83,3634,theory(equality)])).
% cnf(3656,plain,(aNaturalNumber0(esk1_2(xr,xr))|$false),inference(rw,[status(thm)],[3653,864,theory(equality)])).
% cnf(3657,plain,(aNaturalNumber0(esk1_2(xr,xr))),inference(cn,[status(thm)],[3656,theory(equality)])).
% cnf(3658,plain,(sdtpldt0(xr,esk1_2(xr,xr))=xr|$false),inference(rw,[status(thm)],[3654,864,theory(equality)])).
% cnf(3659,plain,(sdtpldt0(xr,esk1_2(xr,xr))=xr),inference(cn,[status(thm)],[3658,theory(equality)])).
% cnf(3667,plain,(sdtmndt0(X1,xr)=esk1_2(xr,xr)|xr!=X1|~aNaturalNumber0(esk1_2(xr,xr))|~aNaturalNumber0(xr)|~aNaturalNumber0(X1)),inference(spm,[status(thm)],[236,3659,theory(equality)])).
% cnf(3692,plain,(sdtmndt0(X1,xr)=esk1_2(xr,xr)|xr!=X1|$false|~aNaturalNumber0(xr)|~aNaturalNumber0(X1)),inference(rw,[status(thm)],[3667,3657,theory(equality)])).
% cnf(3693,plain,(sdtmndt0(X1,xr)=esk1_2(xr,xr)|xr!=X1|$false|$false|~aNaturalNumber0(X1)),inference(rw,[status(thm)],[3692,864,theory(equality)])).
% cnf(3694,plain,(sdtmndt0(X1,xr)=esk1_2(xr,xr)|xr!=X1|~aNaturalNumber0(X1)),inference(cn,[status(thm)],[3693,theory(equality)])).
% cnf(4003,plain,(sdtasdt0(xp,esk2_2(xp,sdtasdt0(xr,xm)))=sdtasdt0(xr,xm)|~aNaturalNumber0(xm)|~aNaturalNumber0(xr)),inference(spm,[status(thm)],[395,55,theory(equality)])).
% cnf(4010,plain,(sdtasdt0(xp,esk2_2(xp,sdtasdt0(xr,xm)))=sdtasdt0(xr,xm)|$false|~aNaturalNumber0(xr)),inference(rw,[status(thm)],[4003,136,theory(equality)])).
% cnf(4011,plain,(sdtasdt0(xp,esk2_2(xp,sdtasdt0(xr,xm)))=sdtasdt0(xr,xm)|$false|$false),inference(rw,[status(thm)],[4010,864,theory(equality)])).
% cnf(4012,plain,(sdtasdt0(xp,esk2_2(xp,sdtasdt0(xr,xm)))=sdtasdt0(xr,xm)),inference(cn,[status(thm)],[4011,theory(equality)])).
% cnf(4118,plain,(aNaturalNumber0(sdtasdt0(xr,xm))|~aNaturalNumber0(esk2_2(xp,sdtasdt0(xr,xm)))|~aNaturalNumber0(xp)),inference(spm,[status(thm)],[55,4012,theory(equality)])).
% cnf(4147,plain,(aNaturalNumber0(sdtasdt0(xr,xm))|$false|~aNaturalNumber0(xp)),inference(rw,[status(thm)],[4118,2142,theory(equality)])).
% cnf(4148,plain,(aNaturalNumber0(sdtasdt0(xr,xm))|$false|$false),inference(rw,[status(thm)],[4147,135,theory(equality)])).
% cnf(4149,plain,(aNaturalNumber0(sdtasdt0(xr,xm))),inference(cn,[status(thm)],[4148,theory(equality)])).
% cnf(4790,plain,(doDivides0(X1,sdtasdt0(X1,X2))|~aNaturalNumber0(X2)|~aNaturalNumber0(X1)),inference(csr,[status(thm)],[420,55])).
% cnf(4820,plain,(doDivides0(X1,sz00)|~aNaturalNumber0(sz00)|~aNaturalNumber0(X1)),inference(spm,[status(thm)],[4790,175,theory(equality)])).
% cnf(4880,plain,(doDivides0(X1,sz00)|$false|~aNaturalNumber0(X1)),inference(rw,[status(thm)],[4820,222,theory(equality)])).
% cnf(4881,plain,(doDivides0(X1,sz00)|~aNaturalNumber0(X1)),inference(cn,[status(thm)],[4880,theory(equality)])).
% cnf(5591,plain,(doDivides0(X1,sdtasdt0(xr,xm))|~doDivides0(X1,xp)|$false|~aNaturalNumber0(X1)),inference(rw,[status(thm)],[442,4149,theory(equality)])).
% cnf(5592,plain,(doDivides0(X1,sdtasdt0(xr,xm))|~doDivides0(X1,xp)|~aNaturalNumber0(X1)),inference(cn,[status(thm)],[5591,theory(equality)])).
% cnf(5595,plain,(doDivides0(sz10,sdtasdt0(xr,xm))|~aNaturalNumber0(sz10)|~aNaturalNumber0(xp)),inference(spm,[status(thm)],[5592,429,theory(equality)])).
% cnf(5602,plain,(doDivides0(sz10,sdtasdt0(xr,xm))|$false|~aNaturalNumber0(xp)),inference(rw,[status(thm)],[5595,224,theory(equality)])).
% cnf(5603,plain,(doDivides0(sz10,sdtasdt0(xr,xm))|$false|$false),inference(rw,[status(thm)],[5602,135,theory(equality)])).
% cnf(5604,plain,(doDivides0(sz10,sdtasdt0(xr,xm))),inference(cn,[status(thm)],[5603,theory(equality)])).
% cnf(5778,plain,(sdtmndt0(X1,xr)=esk1_2(xr,xr)|xr!=X1),inference(csr,[status(thm)],[3694,493])).
% cnf(5779,plain,(sdtmndt0(xr,xr)=esk1_2(xr,xr)),inference(er,[status(thm)],[5778,theory(equality)])).
% cnf(5804,plain,(sdtpldt0(xr,sdtmndt0(xr,xr))=xr),inference(rw,[status(thm)],[3659,5779,theory(equality)])).
% cnf(6034,plain,(sdtpldt0(xr,sz00)=xr|~aNaturalNumber0(xr)),inference(spm,[status(thm)],[5804,539,theory(equality)])).
% cnf(6075,plain,(sdtpldt0(xr,sz00)=xr|$false),inference(rw,[status(thm)],[6034,864,theory(equality)])).
% cnf(6076,plain,(sdtpldt0(xr,sz00)=xr),inference(cn,[status(thm)],[6075,theory(equality)])).
% cnf(6077,plain,(sdtpldt0(sz00,xr)=xr|~aNaturalNumber0(xr)|~aNaturalNumber0(sz00)),inference(spm,[status(thm)],[58,6076,theory(equality)])).
% cnf(6081,plain,(sdtpldt0(xr,X1)=sdtpldt0(xr,sdtpldt0(sz00,X1))|~aNaturalNumber0(X1)|~aNaturalNumber0(sz00)|~aNaturalNumber0(xr)),inference(spm,[status(thm)],[61,6076,theory(equality)])).
% cnf(6097,plain,(sdtpldt0(sz00,xr)=xr|$false|~aNaturalNumber0(sz00)),inference(rw,[status(thm)],[6077,864,theory(equality)])).
% cnf(6098,plain,(sdtpldt0(sz00,xr)=xr|$false|$false),inference(rw,[status(thm)],[6097,222,theory(equality)])).
% cnf(6099,plain,(sdtpldt0(sz00,xr)=xr),inference(cn,[status(thm)],[6098,theory(equality)])).
% cnf(6110,plain,(sdtpldt0(xr,X1)=sdtpldt0(xr,sdtpldt0(sz00,X1))|~aNaturalNumber0(X1)|$false|~aNaturalNumber0(xr)),inference(rw,[status(thm)],[6081,222,theory(equality)])).
% cnf(6111,plain,(sdtpldt0(xr,X1)=sdtpldt0(xr,sdtpldt0(sz00,X1))|~aNaturalNumber0(X1)|$false|$false),inference(rw,[status(thm)],[6110,864,theory(equality)])).
% cnf(6112,plain,(sdtpldt0(xr,X1)=sdtpldt0(xr,sdtpldt0(sz00,X1))|~aNaturalNumber0(X1)),inference(cn,[status(thm)],[6111,theory(equality)])).
% cnf(6983,plain,(doDivides0(xp,sdtpldt0(X1,sdtasdt0(xr,xm)))|~doDivides0(xp,X1)|$false|~aNaturalNumber0(X1)),inference(rw,[status(thm)],[450,4149,theory(equality)])).
% cnf(6984,plain,(doDivides0(xp,sdtpldt0(X1,sdtasdt0(xr,xm)))|~doDivides0(xp,X1)|~aNaturalNumber0(X1)),inference(cn,[status(thm)],[6983,theory(equality)])).
% cnf(6985,plain,(doDivides0(xp,sdtpldt0(sz00,sdtasdt0(xr,xm)))|~aNaturalNumber0(sz00)|~aNaturalNumber0(xp)),inference(spm,[status(thm)],[6984,4881,theory(equality)])).
% cnf(6987,plain,(doDivides0(xp,sdtpldt0(xp,sdtasdt0(xr,xm)))|~aNaturalNumber0(xp)),inference(spm,[status(thm)],[6984,434,theory(equality)])).
% cnf(6991,plain,(doDivides0(xp,sdtpldt0(sz00,sdtasdt0(xr,xm)))|$false|~aNaturalNumber0(xp)),inference(rw,[status(thm)],[6985,222,theory(equality)])).
% cnf(6992,plain,(doDivides0(xp,sdtpldt0(sz00,sdtasdt0(xr,xm)))|$false|$false),inference(rw,[status(thm)],[6991,135,theory(equality)])).
% cnf(6993,plain,(doDivides0(xp,sdtpldt0(sz00,sdtasdt0(xr,xm)))),inference(cn,[status(thm)],[6992,theory(equality)])).
% cnf(6996,plain,(doDivides0(xp,sdtpldt0(xp,sdtasdt0(xr,xm)))|$false),inference(rw,[status(thm)],[6987,135,theory(equality)])).
% cnf(6997,plain,(doDivides0(xp,sdtpldt0(xp,sdtasdt0(xr,xm)))),inference(cn,[status(thm)],[6996,theory(equality)])).
% cnf(7469,plain,(doDivides0(X1,xp)|~doDivides0(X1,xn)|~doDivides0(X1,xr)|~aNaturalNumber0(xr)|~aNaturalNumber0(xp)|~aNaturalNumber0(X1)),inference(spm,[status(thm)],[455,1027,theory(equality)])).
% cnf(7482,plain,(doDivides0(xp,sz00)|~doDivides0(xp,sdtasdt0(xr,xm))|~aNaturalNumber0(sdtasdt0(xr,xm))|~aNaturalNumber0(sz00)|~aNaturalNumber0(xp)),inference(spm,[status(thm)],[455,6993,theory(equality)])).
% cnf(7484,plain,(doDivides0(xp,xp)|~doDivides0(xp,sdtasdt0(xr,xm))|~aNaturalNumber0(sdtasdt0(xr,xm))|~aNaturalNumber0(xp)),inference(spm,[status(thm)],[455,6997,theory(equality)])).
% cnf(7514,plain,(doDivides0(X1,xp)|~doDivides0(X1,xn)|~doDivides0(X1,xr)|$false|~aNaturalNumber0(xp)|~aNaturalNumber0(X1)),inference(rw,[status(thm)],[7469,864,theory(equality)])).
% cnf(7515,plain,(doDivides0(X1,xp)|~doDivides0(X1,xn)|~doDivides0(X1,xr)|$false|$false|~aNaturalNumber0(X1)),inference(rw,[status(thm)],[7514,135,theory(equality)])).
% cnf(7516,plain,(doDivides0(X1,xp)|~doDivides0(X1,xn)|~doDivides0(X1,xr)|~aNaturalNumber0(X1)),inference(cn,[status(thm)],[7515,theory(equality)])).
% cnf(7532,plain,(doDivides0(xp,sz00)|$false|~aNaturalNumber0(sdtasdt0(xr,xm))|~aNaturalNumber0(sz00)|~aNaturalNumber0(xp)),inference(rw,[status(thm)],[7482,147,theory(equality)])).
% cnf(7533,plain,(doDivides0(xp,sz00)|$false|$false|~aNaturalNumber0(sz00)|~aNaturalNumber0(xp)),inference(rw,[status(thm)],[7532,4149,theory(equality)])).
% cnf(7534,plain,(doDivides0(xp,sz00)|$false|$false|$false|~aNaturalNumber0(xp)),inference(rw,[status(thm)],[7533,222,theory(equality)])).
% cnf(7535,plain,(doDivides0(xp,sz00)|$false|$false|$false|$false),inference(rw,[status(thm)],[7534,135,theory(equality)])).
% cnf(7536,plain,(doDivides0(xp,sz00)),inference(cn,[status(thm)],[7535,theory(equality)])).
% cnf(7542,plain,(doDivides0(xp,xp)|$false|~aNaturalNumber0(sdtasdt0(xr,xm))|~aNaturalNumber0(xp)),inference(rw,[status(thm)],[7484,147,theory(equality)])).
% cnf(7543,plain,(doDivides0(xp,xp)|$false|$false|~aNaturalNumber0(xp)),inference(rw,[status(thm)],[7542,4149,theory(equality)])).
% cnf(7544,plain,(doDivides0(xp,xp)|$false|$false|$false),inference(rw,[status(thm)],[7543,135,theory(equality)])).
% cnf(7545,plain,(doDivides0(xp,xp)),inference(cn,[status(thm)],[7544,theory(equality)])).
% cnf(7574,plain,(aNaturalNumber0(esk2_2(xp,xp))|~aNaturalNumber0(xp)),inference(spm,[status(thm)],[124,7545,theory(equality)])).
% cnf(7575,plain,(sdtasdt0(xp,esk2_2(xp,xp))=xp|~aNaturalNumber0(xp)),inference(spm,[status(thm)],[123,7545,theory(equality)])).
% cnf(7585,plain,(aNaturalNumber0(esk2_2(xp,xp))|$false),inference(rw,[status(thm)],[7574,135,theory(equality)])).
% cnf(7586,plain,(aNaturalNumber0(esk2_2(xp,xp))),inference(cn,[status(thm)],[7585,theory(equality)])).
% cnf(7587,plain,(sdtasdt0(xp,esk2_2(xp,xp))=xp|$false),inference(rw,[status(thm)],[7575,135,theory(equality)])).
% cnf(7588,plain,(sdtasdt0(xp,esk2_2(xp,xp))=xp),inference(cn,[status(thm)],[7587,theory(equality)])).
% cnf(7610,plain,(aNaturalNumber0(esk2_2(xp,sz00))|~aNaturalNumber0(xp)|~aNaturalNumber0(sz00)),inference(spm,[status(thm)],[124,7536,theory(equality)])).
% cnf(7611,plain,(sdtasdt0(xp,esk2_2(xp,sz00))=sz00|~aNaturalNumber0(xp)|~aNaturalNumber0(sz00)),inference(spm,[status(thm)],[123,7536,theory(equality)])).
% cnf(7620,plain,(aNaturalNumber0(esk2_2(xp,sz00))|$false|~aNaturalNumber0(sz00)),inference(rw,[status(thm)],[7610,135,theory(equality)])).
% cnf(7621,plain,(aNaturalNumber0(esk2_2(xp,sz00))|$false|$false),inference(rw,[status(thm)],[7620,222,theory(equality)])).
% cnf(7622,plain,(aNaturalNumber0(esk2_2(xp,sz00))),inference(cn,[status(thm)],[7621,theory(equality)])).
% cnf(7623,plain,(sdtasdt0(xp,esk2_2(xp,sz00))=sz00|$false|~aNaturalNumber0(sz00)),inference(rw,[status(thm)],[7611,135,theory(equality)])).
% cnf(7624,plain,(sdtasdt0(xp,esk2_2(xp,sz00))=sz00|$false|$false),inference(rw,[status(thm)],[7623,222,theory(equality)])).
% cnf(7625,plain,(sdtasdt0(xp,esk2_2(xp,sz00))=sz00),inference(cn,[status(thm)],[7624,theory(equality)])).
% cnf(7964,plain,(sz00=xp|sz00=esk2_2(xp,sz00)|~aNaturalNumber0(xp)|~aNaturalNumber0(esk2_2(xp,sz00))),inference(spm,[status(thm)],[184,7625,theory(equality)])).
% cnf(7991,plain,(sz00=xp|sz00=esk2_2(xp,sz00)|$false|~aNaturalNumber0(esk2_2(xp,sz00))),inference(rw,[status(thm)],[7964,135,theory(equality)])).
% cnf(7992,plain,(sz00=xp|sz00=esk2_2(xp,sz00)|$false|$false),inference(rw,[status(thm)],[7991,7622,theory(equality)])).
% cnf(7993,plain,(sz00=xp|sz00=esk2_2(xp,sz00)),inference(cn,[status(thm)],[7992,theory(equality)])).
% cnf(8188,plain,(sdtasdt0(xp,sz00)=sz00|xp=sz00),inference(spm,[status(thm)],[7625,7993,theory(equality)])).
% cnf(8238,plain,(sdtpldt0(xr,esk1_2(xr,xn))=xn|$false),inference(rw,[status(thm)],[473,864,theory(equality)])).
% cnf(8239,plain,(sdtpldt0(xr,esk1_2(xr,xn))=xn),inference(cn,[status(thm)],[8238,theory(equality)])).
% cnf(8257,plain,(esk1_2(xr,xn)=xp|~aNaturalNumber0(esk1_2(xr,xn))),inference(spm,[status(thm)],[2405,8239,theory(equality)])).
% cnf(8307,plain,(esk1_2(xr,xn)=xp|$false),inference(rw,[status(thm)],[8257,1532,theory(equality)])).
% cnf(8308,plain,(esk1_2(xr,xn)=xp),inference(cn,[status(thm)],[8307,theory(equality)])).
% cnf(8316,plain,(sdtpldt0(xr,xp)=xn),inference(rw,[status(thm)],[8239,8308,theory(equality)])).
% cnf(8327,plain,(sdtpldt0(xn,X1)=sdtpldt0(xr,sdtpldt0(xp,X1))|~aNaturalNumber0(X1)|~aNaturalNumber0(xp)|~aNaturalNumber0(xr)),inference(spm,[status(thm)],[61,8316,theory(equality)])).
% cnf(8359,plain,(sdtpldt0(xn,X1)=sdtpldt0(xr,sdtpldt0(xp,X1))|~aNaturalNumber0(X1)|$false|~aNaturalNumber0(xr)),inference(rw,[status(thm)],[8327,135,theory(equality)])).
% cnf(8360,plain,(sdtpldt0(xn,X1)=sdtpldt0(xr,sdtpldt0(xp,X1))|~aNaturalNumber0(X1)|$false|$false),inference(rw,[status(thm)],[8359,864,theory(equality)])).
% cnf(8361,plain,(sdtpldt0(xn,X1)=sdtpldt0(xr,sdtpldt0(xp,X1))|~aNaturalNumber0(X1)),inference(cn,[status(thm)],[8360,theory(equality)])).
% cnf(9122,plain,(sdtlseqdt0(X1,sdtpldt0(X1,X2))|~aNaturalNumber0(X2)|~aNaturalNumber0(X1)),inference(csr,[status(thm)],[477,52])).
% cnf(9126,plain,(X1=sdtpldt0(X1,X2)|iLess0(X1,sdtpldt0(X1,X2))|~aNaturalNumber0(sdtpldt0(X1,X2))|~aNaturalNumber0(X1)|~aNaturalNumber0(X2)),inference(spm,[status(thm)],[117,9122,theory(equality)])).
% cnf(9153,plain,(sdtlseqdt0(X1,sdtpldt0(X2,X1))|~aNaturalNumber0(X2)|~aNaturalNumber0(X1)),inference(spm,[status(thm)],[9122,58,theory(equality)])).
% cnf(9246,plain,(doDivides0(sz10,xp)|~doDivides0(sz10,xr)|~aNaturalNumber0(sz10)|~aNaturalNumber0(xn)),inference(spm,[status(thm)],[7516,429,theory(equality)])).
% cnf(9254,plain,(doDivides0(sz10,xp)|$false|~aNaturalNumber0(sz10)|~aNaturalNumber0(xn)),inference(rw,[status(thm)],[9246,1427,theory(equality)])).
% cnf(9255,plain,(doDivides0(sz10,xp)|$false|$false|~aNaturalNumber0(xn)),inference(rw,[status(thm)],[9254,224,theory(equality)])).
% cnf(9256,plain,(doDivides0(sz10,xp)|$false|$false|$false),inference(rw,[status(thm)],[9255,137,theory(equality)])).
% cnf(9257,plain,(doDivides0(sz10,xp)),inference(cn,[status(thm)],[9256,theory(equality)])).
% cnf(9266,plain,(aNaturalNumber0(esk2_2(sz10,xp))|~aNaturalNumber0(sz10)|~aNaturalNumber0(xp)),inference(spm,[status(thm)],[124,9257,theory(equality)])).
% cnf(9267,plain,(sdtasdt0(sz10,esk2_2(sz10,xp))=xp|~aNaturalNumber0(sz10)|~aNaturalNumber0(xp)),inference(spm,[status(thm)],[123,9257,theory(equality)])).
% cnf(9276,plain,(aNaturalNumber0(esk2_2(sz10,xp))|$false|~aNaturalNumber0(xp)),inference(rw,[status(thm)],[9266,224,theory(equality)])).
% cnf(9277,plain,(aNaturalNumber0(esk2_2(sz10,xp))|$false|$false),inference(rw,[status(thm)],[9276,135,theory(equality)])).
% cnf(9278,plain,(aNaturalNumber0(esk2_2(sz10,xp))),inference(cn,[status(thm)],[9277,theory(equality)])).
% cnf(9279,plain,(sdtasdt0(sz10,esk2_2(sz10,xp))=xp|$false|~aNaturalNumber0(xp)),inference(rw,[status(thm)],[9267,224,theory(equality)])).
% cnf(9280,plain,(sdtasdt0(sz10,esk2_2(sz10,xp))=xp|$false|$false),inference(rw,[status(thm)],[9279,135,theory(equality)])).
% cnf(9281,plain,(sdtasdt0(sz10,esk2_2(sz10,xp))=xp),inference(cn,[status(thm)],[9280,theory(equality)])).
% cnf(9755,plain,(xp=esk2_2(sz10,xp)|~aNaturalNumber0(esk2_2(sz10,xp))),inference(spm,[status(thm)],[218,9281,theory(equality)])).
% cnf(9834,plain,(xp=esk2_2(sz10,xp)|$false),inference(rw,[status(thm)],[9755,9278,theory(equality)])).
% cnf(9835,plain,(xp=esk2_2(sz10,xp)),inference(cn,[status(thm)],[9834,theory(equality)])).
% cnf(9847,plain,(sdtasdt0(sz10,xp)=xp),inference(rw,[status(thm)],[9281,9835,theory(equality)])).
% cnf(9862,plain,(sz00=sz10|sdtlseqdt0(xp,xp)|~aNaturalNumber0(sz10)|~aNaturalNumber0(xp)),inference(spm,[status(thm)],[381,9847,theory(equality)])).
% cnf(9910,plain,(sz00=sz10|sdtlseqdt0(xp,xp)|$false|~aNaturalNumber0(xp)),inference(rw,[status(thm)],[9862,224,theory(equality)])).
% cnf(9911,plain,(sz00=sz10|sdtlseqdt0(xp,xp)|$false|$false),inference(rw,[status(thm)],[9910,135,theory(equality)])).
% cnf(9912,plain,(sz00=sz10|sdtlseqdt0(xp,xp)),inference(cn,[status(thm)],[9911,theory(equality)])).
% cnf(9913,plain,(sdtlseqdt0(xp,xp)),inference(sr,[status(thm)],[9912,223,theory(equality)])).
% cnf(10008,plain,(aNaturalNumber0(esk1_2(xp,xp))|~aNaturalNumber0(xp)),inference(spm,[status(thm)],[84,9913,theory(equality)])).
% cnf(10009,plain,(sdtpldt0(xp,esk1_2(xp,xp))=xp|~aNaturalNumber0(xp)),inference(spm,[status(thm)],[83,9913,theory(equality)])).
% cnf(10015,plain,(aNaturalNumber0(esk1_2(xp,xp))|$false),inference(rw,[status(thm)],[10008,135,theory(equality)])).
% cnf(10016,plain,(aNaturalNumber0(esk1_2(xp,xp))),inference(cn,[status(thm)],[10015,theory(equality)])).
% cnf(10017,plain,(sdtpldt0(xp,esk1_2(xp,xp))=xp|$false),inference(rw,[status(thm)],[10009,135,theory(equality)])).
% cnf(10018,plain,(sdtpldt0(xp,esk1_2(xp,xp))=xp),inference(cn,[status(thm)],[10017,theory(equality)])).
% cnf(10029,plain,(esk1_2(xp,xp)=sz00|~aNaturalNumber0(xp)|~aNaturalNumber0(esk1_2(xp,xp))),inference(spm,[status(thm)],[506,10018,theory(equality)])).
% cnf(10049,plain,(esk1_2(xp,xp)=sz00|$false|~aNaturalNumber0(esk1_2(xp,xp))),inference(rw,[status(thm)],[10029,135,theory(equality)])).
% cnf(10050,plain,(esk1_2(xp,xp)=sz00|$false|$false),inference(rw,[status(thm)],[10049,10016,theory(equality)])).
% cnf(10051,plain,(esk1_2(xp,xp)=sz00),inference(cn,[status(thm)],[10050,theory(equality)])).
% cnf(10106,plain,(sdtpldt0(xp,sz00)=xp),inference(rw,[status(thm)],[10018,10051,theory(equality)])).
% cnf(10120,plain,(sdtpldt0(sz00,xp)=xp|~aNaturalNumber0(xp)|~aNaturalNumber0(sz00)),inference(spm,[status(thm)],[58,10106,theory(equality)])).
% cnf(10124,plain,(sdtpldt0(xp,X1)=sdtpldt0(xp,sdtpldt0(sz00,X1))|~aNaturalNumber0(X1)|~aNaturalNumber0(sz00)|~aNaturalNumber0(xp)),inference(spm,[status(thm)],[61,10106,theory(equality)])).
% cnf(10143,plain,(sdtpldt0(sz00,xp)=xp|$false|~aNaturalNumber0(sz00)),inference(rw,[status(thm)],[10120,135,theory(equality)])).
% cnf(10144,plain,(sdtpldt0(sz00,xp)=xp|$false|$false),inference(rw,[status(thm)],[10143,222,theory(equality)])).
% cnf(10145,plain,(sdtpldt0(sz00,xp)=xp),inference(cn,[status(thm)],[10144,theory(equality)])).
% cnf(10156,plain,(sdtpldt0(xp,X1)=sdtpldt0(xp,sdtpldt0(sz00,X1))|~aNaturalNumber0(X1)|$false|~aNaturalNumber0(xp)),inference(rw,[status(thm)],[10124,222,theory(equality)])).
% cnf(10157,plain,(sdtpldt0(xp,X1)=sdtpldt0(xp,sdtpldt0(sz00,X1))|~aNaturalNumber0(X1)|$false|$false),inference(rw,[status(thm)],[10156,135,theory(equality)])).
% cnf(10158,plain,(sdtpldt0(xp,X1)=sdtpldt0(xp,sdtpldt0(sz00,X1))|~aNaturalNumber0(X1)),inference(cn,[status(thm)],[10157,theory(equality)])).
% cnf(11622,plain,(sz00=sz10|aNaturalNumber0(sdtsldt0(sdtasdt0(xr,xm),sz10))|~aNaturalNumber0(sz10)|~aNaturalNumber0(sdtasdt0(xr,xm))),inference(spm,[status(thm)],[528,5604,theory(equality)])).
% cnf(11676,plain,(sz00=sz10|aNaturalNumber0(sdtsldt0(sdtasdt0(xr,xm),sz10))|$false|~aNaturalNumber0(sdtasdt0(xr,xm))),inference(rw,[status(thm)],[11622,224,theory(equality)])).
% cnf(11677,plain,(sz00=sz10|aNaturalNumber0(sdtsldt0(sdtasdt0(xr,xm),sz10))|$false|$false),inference(rw,[status(thm)],[11676,4149,theory(equality)])).
% cnf(11678,plain,(sz00=sz10|aNaturalNumber0(sdtsldt0(sdtasdt0(xr,xm),sz10))),inference(cn,[status(thm)],[11677,theory(equality)])).
% cnf(11679,plain,(aNaturalNumber0(sdtsldt0(sdtasdt0(xr,xm),sz10))),inference(sr,[status(thm)],[11678,223,theory(equality)])).
% cnf(11787,plain,(sdtmndt0(sdtpldt0(X1,X2),X1)=X2|~aNaturalNumber0(X2)|~aNaturalNumber0(X1)),inference(csr,[status(thm)],[529,52])).
% cnf(12088,plain,(sdtpldt0(sdtpldt0(xr,X1),sdtmndt0(sdtpldt0(xn,X1),sdtpldt0(xr,X1)))=sdtpldt0(xn,X1)|~aNaturalNumber0(sdtpldt0(xr,X1))|~aNaturalNumber0(sdtpldt0(xn,X1))|~aNaturalNumber0(X1)),inference(spm,[status(thm)],[540,1295,theory(equality)])).
% cnf(14567,plain,(sdtasdt0(sz10,sdtsldt0(sdtasdt0(xr,xm),sz10))=sdtasdt0(xr,xm)|sz00=sz10|~aNaturalNumber0(sz10)|~aNaturalNumber0(sdtasdt0(xr,xm))),inference(spm,[status(thm)],[585,5604,theory(equality)])).
% cnf(14637,plain,(sdtasdt0(sz10,sdtsldt0(sdtasdt0(xr,xm),sz10))=sdtasdt0(xr,xm)|sz00=sz10|$false|~aNaturalNumber0(sdtasdt0(xr,xm))),inference(rw,[status(thm)],[14567,224,theory(equality)])).
% cnf(14638,plain,(sdtasdt0(sz10,sdtsldt0(sdtasdt0(xr,xm),sz10))=sdtasdt0(xr,xm)|sz00=sz10|$false|$false),inference(rw,[status(thm)],[14637,4149,theory(equality)])).
% cnf(14639,plain,(sdtasdt0(sz10,sdtsldt0(sdtasdt0(xr,xm),sz10))=sdtasdt0(xr,xm)|sz00=sz10),inference(cn,[status(thm)],[14638,theory(equality)])).
% cnf(14640,plain,(sdtasdt0(sz10,sdtsldt0(sdtasdt0(xr,xm),sz10))=sdtasdt0(xr,xm)),inference(sr,[status(thm)],[14639,223,theory(equality)])).
% cnf(15344,plain,(sdtasdt0(xr,xm)=sdtsldt0(sdtasdt0(xr,xm),sz10)|~aNaturalNumber0(sdtsldt0(sdtasdt0(xr,xm),sz10))),inference(spm,[status(thm)],[218,14640,theory(equality)])).
% cnf(15436,plain,(sdtasdt0(xr,xm)=sdtsldt0(sdtasdt0(xr,xm),sz10)|$false),inference(rw,[status(thm)],[15344,11679,theory(equality)])).
% cnf(15437,plain,(sdtasdt0(xr,xm)=sdtsldt0(sdtasdt0(xr,xm),sz10)),inference(cn,[status(thm)],[15436,theory(equality)])).
% cnf(16318,plain,(sz00=sz10|aNaturalNumber0(X1)|sdtasdt0(xr,xm)!=X1|~doDivides0(sz10,sdtasdt0(xr,xm))|~aNaturalNumber0(sz10)|~aNaturalNumber0(sdtasdt0(xr,xm))),inference(spm,[status(thm)],[210,15437,theory(equality)])).
% cnf(16323,plain,(sdtasdt0(sz10,sdtasdt0(xr,xm))=sdtasdt0(xr,xm)),inference(rw,[status(thm)],[14640,15437,theory(equality)])).
% cnf(16325,plain,(sz00=sz10|aNaturalNumber0(X1)|sdtasdt0(xr,xm)!=X1|$false|~aNaturalNumber0(sz10)|~aNaturalNumber0(sdtasdt0(xr,xm))),inference(rw,[status(thm)],[16318,5604,theory(equality)])).
% cnf(16326,plain,(sz00=sz10|aNaturalNumber0(X1)|sdtasdt0(xr,xm)!=X1|$false|$false|~aNaturalNumber0(sdtasdt0(xr,xm))),inference(rw,[status(thm)],[16325,224,theory(equality)])).
% cnf(16327,plain,(sz00=sz10|aNaturalNumber0(X1)|sdtasdt0(xr,xm)!=X1|$false|$false|$false),inference(rw,[status(thm)],[16326,4149,theory(equality)])).
% cnf(16328,plain,(sz00=sz10|aNaturalNumber0(X1)|sdtasdt0(xr,xm)!=X1),inference(cn,[status(thm)],[16327,theory(equality)])).
% cnf(16329,plain,(aNaturalNumber0(X1)|sdtasdt0(xr,xm)!=X1),inference(sr,[status(thm)],[16328,223,theory(equality)])).
% cnf(16944,plain,(sdtpldt0(X1,sdtpldt0(X2,X3))=sdtpldt0(X2,sdtpldt0(X3,X1))|~aNaturalNumber0(X1)|~aNaturalNumber0(X3)|~aNaturalNumber0(X2)),inference(csr,[status(thm)],[613,52])).
% cnf(17807,plain,(aNaturalNumber0(sdtpldt0(X1,sdtpldt0(X2,X3)))|~aNaturalNumber0(X2)|~aNaturalNumber0(X1)|~aNaturalNumber0(X3)),inference(csr,[status(thm)],[616,52])).
% cnf(17819,plain,(aNaturalNumber0(sdtpldt0(X1,xr))|~aNaturalNumber0(xr)|~aNaturalNumber0(sz00)|~aNaturalNumber0(X1)),inference(spm,[status(thm)],[17807,6099,theory(equality)])).
% cnf(17820,plain,(aNaturalNumber0(sdtpldt0(X1,xp))|~aNaturalNumber0(xp)|~aNaturalNumber0(sz00)|~aNaturalNumber0(X1)),inference(spm,[status(thm)],[17807,10145,theory(equality)])).
% cnf(17821,plain,(aNaturalNumber0(sdtpldt0(X1,xn))|~aNaturalNumber0(xn)|~aNaturalNumber0(sz00)|~aNaturalNumber0(X1)),inference(spm,[status(thm)],[17807,3147,theory(equality)])).
% cnf(17879,plain,(aNaturalNumber0(sdtpldt0(X1,xr))|$false|~aNaturalNumber0(sz00)|~aNaturalNumber0(X1)),inference(rw,[status(thm)],[17819,864,theory(equality)])).
% cnf(17880,plain,(aNaturalNumber0(sdtpldt0(X1,xr))|$false|$false|~aNaturalNumber0(X1)),inference(rw,[status(thm)],[17879,222,theory(equality)])).
% cnf(17881,plain,(aNaturalNumber0(sdtpldt0(X1,xr))|~aNaturalNumber0(X1)),inference(cn,[status(thm)],[17880,theory(equality)])).
% cnf(17882,plain,(aNaturalNumber0(sdtpldt0(X1,xp))|$false|~aNaturalNumber0(sz00)|~aNaturalNumber0(X1)),inference(rw,[status(thm)],[17820,135,theory(equality)])).
% cnf(17883,plain,(aNaturalNumber0(sdtpldt0(X1,xp))|$false|$false|~aNaturalNumber0(X1)),inference(rw,[status(thm)],[17882,222,theory(equality)])).
% cnf(17884,plain,(aNaturalNumber0(sdtpldt0(X1,xp))|~aNaturalNumber0(X1)),inference(cn,[status(thm)],[17883,theory(equality)])).
% cnf(17885,plain,(aNaturalNumber0(sdtpldt0(X1,xn))|$false|~aNaturalNumber0(sz00)|~aNaturalNumber0(X1)),inference(rw,[status(thm)],[17821,137,theory(equality)])).
% cnf(17886,plain,(aNaturalNumber0(sdtpldt0(X1,xn))|$false|$false|~aNaturalNumber0(X1)),inference(rw,[status(thm)],[17885,222,theory(equality)])).
% cnf(17887,plain,(aNaturalNumber0(sdtpldt0(X1,xn))|~aNaturalNumber0(X1)),inference(cn,[status(thm)],[17886,theory(equality)])).
% cnf(17935,plain,(aNaturalNumber0(sdtpldt0(xr,X1))|~aNaturalNumber0(X1)|~aNaturalNumber0(xr)),inference(spm,[status(thm)],[17881,58,theory(equality)])).
% cnf(17949,plain,(aNaturalNumber0(sdtpldt0(xr,X1))|~aNaturalNumber0(X1)|$false),inference(rw,[status(thm)],[17935,864,theory(equality)])).
% cnf(17950,plain,(aNaturalNumber0(sdtpldt0(xr,X1))|~aNaturalNumber0(X1)),inference(cn,[status(thm)],[17949,theory(equality)])).
% cnf(18516,plain,(aNaturalNumber0(sdtpldt0(xn,X1))|~aNaturalNumber0(X1)|~aNaturalNumber0(xn)),inference(spm,[status(thm)],[17887,58,theory(equality)])).
% cnf(18529,plain,(aNaturalNumber0(sdtpldt0(xn,X1))|~aNaturalNumber0(X1)|$false),inference(rw,[status(thm)],[18516,137,theory(equality)])).
% cnf(18530,plain,(aNaturalNumber0(sdtpldt0(xn,X1))|~aNaturalNumber0(X1)),inference(cn,[status(thm)],[18529,theory(equality)])).
% cnf(21292,plain,(sdtasdt0(X1,sdtasdt0(X2,sz00))=sz00|~aNaturalNumber0(X2)|~aNaturalNumber0(X1)),inference(csr,[status(thm)],[657,55])).
% cnf(21300,plain,(sz00=sdtasdt0(sz00,sz00)|~aNaturalNumber0(sz00)|~aNaturalNumber0(sz10)),inference(spm,[status(thm)],[1992,21292,theory(equality)])).
% cnf(21361,plain,(sz00=sdtasdt0(sz00,sz00)|$false|~aNaturalNumber0(sz10)),inference(rw,[status(thm)],[21300,222,theory(equality)])).
% cnf(21362,plain,(sz00=sdtasdt0(sz00,sz00)|$false|$false),inference(rw,[status(thm)],[21361,224,theory(equality)])).
% cnf(21363,plain,(sz00=sdtasdt0(sz00,sz00)),inference(cn,[status(thm)],[21362,theory(equality)])).
% cnf(25225,plain,(doDivides0(sdtasdt0(X1,X2),X3)|sdtasdt0(X1,sdtasdt0(X2,X4))!=X3|~aNaturalNumber0(X3)|~aNaturalNumber0(X2)|~aNaturalNumber0(X1)|~aNaturalNumber0(X4)),inference(csr,[status(thm)],[646,55])).
% cnf(25290,plain,(doDivides0(sdtasdt0(sz10,xr),X1)|sdtasdt0(xr,xm)!=X1|~aNaturalNumber0(xm)|~aNaturalNumber0(X1)|~aNaturalNumber0(xr)|~aNaturalNumber0(sz10)),inference(spm,[status(thm)],[25225,16323,theory(equality)])).
% cnf(25445,plain,(doDivides0(xr,X1)|sdtasdt0(xr,xm)!=X1|~aNaturalNumber0(xm)|~aNaturalNumber0(X1)|~aNaturalNumber0(xr)|~aNaturalNumber0(sz10)),inference(rw,[status(thm)],[25290,1635,theory(equality)])).
% cnf(25446,plain,(doDivides0(xr,X1)|sdtasdt0(xr,xm)!=X1|$false|~aNaturalNumber0(X1)|~aNaturalNumber0(xr)|~aNaturalNumber0(sz10)),inference(rw,[status(thm)],[25445,136,theory(equality)])).
% cnf(25447,plain,(doDivides0(xr,X1)|sdtasdt0(xr,xm)!=X1|$false|~aNaturalNumber0(X1)|$false|~aNaturalNumber0(sz10)),inference(rw,[status(thm)],[25446,864,theory(equality)])).
% cnf(25448,plain,(doDivides0(xr,X1)|sdtasdt0(xr,xm)!=X1|$false|~aNaturalNumber0(X1)|$false|$false),inference(rw,[status(thm)],[25447,224,theory(equality)])).
% cnf(25449,plain,(doDivides0(xr,X1)|sdtasdt0(xr,xm)!=X1|~aNaturalNumber0(X1)),inference(cn,[status(thm)],[25448,theory(equality)])).
% cnf(25470,plain,(doDivides0(xr,X1)|sdtasdt0(xr,xm)!=X1),inference(csr,[status(thm)],[25449,16329])).
% cnf(25471,plain,(doDivides0(xr,sdtasdt0(xr,xm))),inference(er,[status(thm)],[25470,theory(equality)])).
% cnf(25482,plain,(aNaturalNumber0(esk2_2(xr,sdtasdt0(xr,xm)))|~aNaturalNumber0(xr)|~aNaturalNumber0(sdtasdt0(xr,xm))),inference(spm,[status(thm)],[124,25471,theory(equality)])).
% cnf(25483,plain,(sdtasdt0(xr,esk2_2(xr,sdtasdt0(xr,xm)))=sdtasdt0(xr,xm)|~aNaturalNumber0(xr)|~aNaturalNumber0(sdtasdt0(xr,xm))),inference(spm,[status(thm)],[123,25471,theory(equality)])).
% cnf(25500,plain,(aNaturalNumber0(esk2_2(xr,sdtasdt0(xr,xm)))|$false|~aNaturalNumber0(sdtasdt0(xr,xm))),inference(rw,[status(thm)],[25482,864,theory(equality)])).
% cnf(25501,plain,(aNaturalNumber0(esk2_2(xr,sdtasdt0(xr,xm)))|$false|$false),inference(rw,[status(thm)],[25500,4149,theory(equality)])).
% cnf(25502,plain,(aNaturalNumber0(esk2_2(xr,sdtasdt0(xr,xm)))),inference(cn,[status(thm)],[25501,theory(equality)])).
% cnf(25503,plain,(sdtasdt0(xr,esk2_2(xr,sdtasdt0(xr,xm)))=sdtasdt0(xr,xm)|$false|~aNaturalNumber0(sdtasdt0(xr,xm))),inference(rw,[status(thm)],[25483,864,theory(equality)])).
% cnf(25504,plain,(sdtasdt0(xr,esk2_2(xr,sdtasdt0(xr,xm)))=sdtasdt0(xr,xm)|$false|$false),inference(rw,[status(thm)],[25503,4149,theory(equality)])).
% cnf(25505,plain,(sdtasdt0(xr,esk2_2(xr,sdtasdt0(xr,xm)))=sdtasdt0(xr,xm)),inference(cn,[status(thm)],[25504,theory(equality)])).
% cnf(28021,plain,(sdtasdt0(X1,X2)=sz00|sdtasdt0(X1,sdtpldt0(X3,X2))!=sz00|~aNaturalNumber0(sdtasdt0(X1,X3))|~aNaturalNumber0(X1)|~aNaturalNumber0(X3)|~aNaturalNumber0(X2)),inference(csr,[status(thm)],[666,55])).
% cnf(28022,plain,(sdtasdt0(X1,X2)=sz00|sdtasdt0(X1,sdtpldt0(X3,X2))!=sz00|~aNaturalNumber0(X1)|~aNaturalNumber0(X3)|~aNaturalNumber0(X2)),inference(csr,[status(thm)],[28021,55])).
% cnf(29631,plain,(aNaturalNumber0(sdtasdt0(X1,sdtpldt0(X2,X3)))|~aNaturalNumber0(sdtasdt0(X1,X3))|~aNaturalNumber0(X1)|~aNaturalNumber0(X2)|~aNaturalNumber0(X3)),inference(csr,[status(thm)],[670,55])).
% cnf(29632,plain,(aNaturalNumber0(sdtasdt0(X1,sdtpldt0(X2,X3)))|~aNaturalNumber0(X1)|~aNaturalNumber0(X2)|~aNaturalNumber0(X3)),inference(csr,[status(thm)],[29631,55])).
% cnf(30616,plain,(sdtmndt0(X1,sdtasdt0(X2,X3))=sdtasdt0(X2,X4)|sdtasdt0(X2,sdtpldt0(X3,X4))!=X1|~aNaturalNumber0(sdtasdt0(X2,X4))|~aNaturalNumber0(X1)|~aNaturalNumber0(X2)|~aNaturalNumber0(X3)|~aNaturalNumber0(X4)),inference(csr,[status(thm)],[673,55])).
% cnf(30617,plain,(sdtmndt0(X1,sdtasdt0(X2,X3))=sdtasdt0(X2,X4)|sdtasdt0(X2,sdtpldt0(X3,X4))!=X1|~aNaturalNumber0(X1)|~aNaturalNumber0(X2)|~aNaturalNumber0(X3)|~aNaturalNumber0(X4)),inference(csr,[status(thm)],[30616,55])).
% cnf(32218,plain,(sdtlseqdt0(sdtasdt0(X1,X2),X3)|sdtasdt0(X1,sdtpldt0(X2,X4))!=X3|~aNaturalNumber0(sdtasdt0(X1,X4))|~aNaturalNumber0(X3)|~aNaturalNumber0(X1)|~aNaturalNumber0(X2)|~aNaturalNumber0(X4)),inference(csr,[status(thm)],[677,55])).
% cnf(32219,plain,(sdtlseqdt0(sdtasdt0(X1,X2),X3)|sdtasdt0(X1,sdtpldt0(X2,X4))!=X3|~aNaturalNumber0(X3)|~aNaturalNumber0(X1)|~aNaturalNumber0(X2)|~aNaturalNumber0(X4)),inference(csr,[status(thm)],[32218,55])).
% cnf(35377,plain,(sdtpldt0(xp,sz00)=sdtasdt0(xp,sdtpldt0(esk2_2(xp,xp),sz00))|~aNaturalNumber0(xp)|~aNaturalNumber0(esk2_2(xp,xp))),inference(spm,[status(thm)],[700,7588,theory(equality)])).
% cnf(35677,plain,(xp=sdtasdt0(xp,sdtpldt0(esk2_2(xp,xp),sz00))|~aNaturalNumber0(xp)|~aNaturalNumber0(esk2_2(xp,xp))),inference(rw,[status(thm)],[35377,10106,theory(equality)])).
% cnf(35678,plain,(xp=sdtasdt0(xp,sdtpldt0(esk2_2(xp,xp),sz00))|$false|~aNaturalNumber0(esk2_2(xp,xp))),inference(rw,[status(thm)],[35677,135,theory(equality)])).
% cnf(35679,plain,(xp=sdtasdt0(xp,sdtpldt0(esk2_2(xp,xp),sz00))|$false|$false),inference(rw,[status(thm)],[35678,7586,theory(equality)])).
% cnf(35680,plain,(xp=sdtasdt0(xp,sdtpldt0(esk2_2(xp,xp),sz00))),inference(cn,[status(thm)],[35679,theory(equality)])).
% cnf(49351,plain,(sdtasdt0(xp,sz00)=sz00|xp!=sz00|~aNaturalNumber0(xp)|~aNaturalNumber0(esk2_2(xp,xp))|~aNaturalNumber0(sz00)),inference(spm,[status(thm)],[28022,35680,theory(equality)])).
% cnf(49509,plain,(sdtasdt0(xp,sz00)=sz00|xp!=sz00|$false|~aNaturalNumber0(esk2_2(xp,xp))|~aNaturalNumber0(sz00)),inference(rw,[status(thm)],[49351,135,theory(equality)])).
% cnf(49510,plain,(sdtasdt0(xp,sz00)=sz00|xp!=sz00|$false|$false|~aNaturalNumber0(sz00)),inference(rw,[status(thm)],[49509,7586,theory(equality)])).
% cnf(49511,plain,(sdtasdt0(xp,sz00)=sz00|xp!=sz00|$false|$false|$false),inference(rw,[status(thm)],[49510,222,theory(equality)])).
% cnf(49512,plain,(sdtasdt0(xp,sz00)=sz00|xp!=sz00),inference(cn,[status(thm)],[49511,theory(equality)])).
% cnf(49539,plain,(sdtasdt0(xp,sz00)=sz00),inference(csr,[status(thm)],[49512,8188])).
% cnf(49555,plain,(sdtpldt0(sz00,xp)=sdtasdt0(xp,sdtpldt0(sz00,sz10))|~aNaturalNumber0(xp)|~aNaturalNumber0(sz00)),inference(spm,[status(thm)],[698,49539,theory(equality)])).
% cnf(49658,plain,(xp=sdtasdt0(xp,sdtpldt0(sz00,sz10))|~aNaturalNumber0(xp)|~aNaturalNumber0(sz00)),inference(rw,[status(thm)],[49555,10145,theory(equality)])).
% cnf(49659,plain,(xp=sdtasdt0(xp,sdtpldt0(sz00,sz10))|$false|~aNaturalNumber0(sz00)),inference(rw,[status(thm)],[49658,135,theory(equality)])).
% cnf(49660,plain,(xp=sdtasdt0(xp,sdtpldt0(sz00,sz10))|$false|$false),inference(rw,[status(thm)],[49659,222,theory(equality)])).
% cnf(49661,plain,(xp=sdtasdt0(xp,sdtpldt0(sz00,sz10))),inference(cn,[status(thm)],[49660,theory(equality)])).
% cnf(50688,plain,(sdtasdt0(xp,sz10)=xp|~aNaturalNumber0(sz10)),inference(spm,[status(thm)],[49661,164,theory(equality)])).
% cnf(50854,plain,(sdtasdt0(xp,sz10)=xp|$false),inference(rw,[status(thm)],[50688,224,theory(equality)])).
% cnf(50855,plain,(sdtasdt0(xp,sz10)=xp),inference(cn,[status(thm)],[50854,theory(equality)])).
% cnf(50879,plain,(sdtpldt0(xp,xp)=sdtasdt0(xp,sdtpldt0(sz10,sz10))|~aNaturalNumber0(xp)|~aNaturalNumber0(sz10)),inference(spm,[status(thm)],[698,50855,theory(equality)])).
% cnf(51010,plain,(sdtpldt0(xp,xp)=sdtasdt0(xp,sdtpldt0(sz10,sz10))|$false|~aNaturalNumber0(sz10)),inference(rw,[status(thm)],[50879,135,theory(equality)])).
% cnf(51011,plain,(sdtpldt0(xp,xp)=sdtasdt0(xp,sdtpldt0(sz10,sz10))|$false|$false),inference(rw,[status(thm)],[51010,224,theory(equality)])).
% cnf(51012,plain,(sdtpldt0(xp,xp)=sdtasdt0(xp,sdtpldt0(sz10,sz10))),inference(cn,[status(thm)],[51011,theory(equality)])).
% cnf(54303,plain,(sdtpldt0(sdtasdt0(xr,xm),sz00)=sdtasdt0(sdtpldt0(xr,sz00),esk2_2(xr,sdtasdt0(xr,xm)))|~aNaturalNumber0(esk2_2(xr,sdtasdt0(xr,xm)))|~aNaturalNumber0(xr)),inference(spm,[status(thm)],[784,25505,theory(equality)])).
% cnf(54659,plain,(sdtpldt0(sdtasdt0(xr,xm),sz00)=sdtasdt0(xr,xm)|~aNaturalNumber0(esk2_2(xr,sdtasdt0(xr,xm)))|~aNaturalNumber0(xr)),inference(rw,[status(thm)],[inference(rw,[status(thm)],[54303,6076,theory(equality)]),25505,theory(equality)])).
% cnf(54660,plain,(sdtpldt0(sdtasdt0(xr,xm),sz00)=sdtasdt0(xr,xm)|$false|~aNaturalNumber0(xr)),inference(rw,[status(thm)],[54659,25502,theory(equality)])).
% cnf(54661,plain,(sdtpldt0(sdtasdt0(xr,xm),sz00)=sdtasdt0(xr,xm)|$false|$false),inference(rw,[status(thm)],[54660,864,theory(equality)])).
% cnf(54662,plain,(sdtpldt0(sdtasdt0(xr,xm),sz00)=sdtasdt0(xr,xm)),inference(cn,[status(thm)],[54661,theory(equality)])).
% cnf(56999,plain,(sdtpldt0(sz00,sdtasdt0(sz00,sz00))=sdtasdt0(sz00,sdtasdt0(xr,xm))|~aNaturalNumber0(sdtasdt0(xr,xm))|~aNaturalNumber0(sz00)),inference(spm,[status(thm)],[704,54662,theory(equality)])).
% cnf(57073,plain,(sz00=sdtasdt0(sz00,sdtasdt0(xr,xm))|~aNaturalNumber0(sdtasdt0(xr,xm))|~aNaturalNumber0(sz00)),inference(rw,[status(thm)],[inference(rw,[status(thm)],[56999,21363,theory(equality)]),2146,theory(equality)])).
% cnf(57074,plain,(sz00=sdtasdt0(sz00,sdtasdt0(xr,xm))|$false|~aNaturalNumber0(sz00)),inference(rw,[status(thm)],[57073,4149,theory(equality)])).
% cnf(57075,plain,(sz00=sdtasdt0(sz00,sdtasdt0(xr,xm))|$false|$false),inference(rw,[status(thm)],[57074,222,theory(equality)])).
% cnf(57076,plain,(sz00=sdtasdt0(sz00,sdtasdt0(xr,xm))),inference(cn,[status(thm)],[57075,theory(equality)])).
% cnf(57360,plain,(sz00=sdtasdt0(sz00,xm)|~aNaturalNumber0(xm)|~aNaturalNumber0(xr)),inference(spm,[status(thm)],[661,57076,theory(equality)])).
% cnf(57628,plain,(sz00=sdtasdt0(sz00,xm)|$false|~aNaturalNumber0(xr)),inference(rw,[status(thm)],[57360,136,theory(equality)])).
% cnf(57629,plain,(sz00=sdtasdt0(sz00,xm)|$false|$false),inference(rw,[status(thm)],[57628,864,theory(equality)])).
% cnf(57630,plain,(sz00=sdtasdt0(sz00,xm)),inference(cn,[status(thm)],[57629,theory(equality)])).
% cnf(57674,plain,(doDivides0(xm,X1)|sz00!=X1|~aNaturalNumber0(sz00)|~aNaturalNumber0(xm)|~aNaturalNumber0(X1)),inference(spm,[status(thm)],[425,57630,theory(equality)])).
% cnf(57827,plain,(doDivides0(xm,X1)|sz00!=X1|$false|~aNaturalNumber0(xm)|~aNaturalNumber0(X1)),inference(rw,[status(thm)],[57674,222,theory(equality)])).
% cnf(57828,plain,(doDivides0(xm,X1)|sz00!=X1|$false|$false|~aNaturalNumber0(X1)),inference(rw,[status(thm)],[57827,136,theory(equality)])).
% cnf(57829,plain,(doDivides0(xm,X1)|sz00!=X1|~aNaturalNumber0(X1)),inference(cn,[status(thm)],[57828,theory(equality)])).
% cnf(57910,plain,(doDivides0(xm,X1)|sz00!=X1),inference(csr,[status(thm)],[57829,1888])).
% cnf(57911,plain,(doDivides0(xm,sz00)),inference(er,[status(thm)],[57910,theory(equality)])).
% cnf(57919,plain,(doDivides0(xm,sdtpldt0(X1,sz00))|~doDivides0(xm,X1)|~aNaturalNumber0(sz00)|~aNaturalNumber0(X1)|~aNaturalNumber0(xm)),inference(spm,[status(thm)],[131,57911,theory(equality)])).
% cnf(57941,plain,(doDivides0(xm,sdtpldt0(X1,sz00))|~doDivides0(xm,X1)|$false|~aNaturalNumber0(X1)|~aNaturalNumber0(xm)),inference(rw,[status(thm)],[57919,222,theory(equality)])).
% cnf(57942,plain,(doDivides0(xm,sdtpldt0(X1,sz00))|~doDivides0(xm,X1)|$false|~aNaturalNumber0(X1)|$false),inference(rw,[status(thm)],[57941,136,theory(equality)])).
% cnf(57943,plain,(doDivides0(xm,sdtpldt0(X1,sz00))|~doDivides0(xm,X1)|~aNaturalNumber0(X1)),inference(cn,[status(thm)],[57942,theory(equality)])).
% cnf(79838,plain,(doDivides0(xm,sdtpldt0(xm,sz00))|~aNaturalNumber0(xm)),inference(spm,[status(thm)],[57943,434,theory(equality)])).
% cnf(79846,plain,(doDivides0(xm,sdtpldt0(xm,sz00))|$false),inference(rw,[status(thm)],[79838,136,theory(equality)])).
% cnf(79847,plain,(doDivides0(xm,sdtpldt0(xm,sz00))),inference(cn,[status(thm)],[79846,theory(equality)])).
% cnf(79860,plain,(doDivides0(xm,xm)|~doDivides0(xm,sz00)|~aNaturalNumber0(sz00)|~aNaturalNumber0(xm)),inference(spm,[status(thm)],[455,79847,theory(equality)])).
% cnf(79885,plain,(doDivides0(xm,xm)|$false|~aNaturalNumber0(sz00)|~aNaturalNumber0(xm)),inference(rw,[status(thm)],[79860,57911,theory(equality)])).
% cnf(79886,plain,(doDivides0(xm,xm)|$false|$false|~aNaturalNumber0(xm)),inference(rw,[status(thm)],[79885,222,theory(equality)])).
% cnf(79887,plain,(doDivides0(xm,xm)|$false|$false|$false),inference(rw,[status(thm)],[79886,136,theory(equality)])).
% cnf(79888,plain,(doDivides0(xm,xm)),inference(cn,[status(thm)],[79887,theory(equality)])).
% cnf(79906,plain,(aNaturalNumber0(esk2_2(xm,xm))|~aNaturalNumber0(xm)),inference(spm,[status(thm)],[124,79888,theory(equality)])).
% cnf(79907,plain,(sdtasdt0(xm,esk2_2(xm,xm))=xm|~aNaturalNumber0(xm)),inference(spm,[status(thm)],[123,79888,theory(equality)])).
% cnf(79916,plain,(aNaturalNumber0(esk2_2(xm,xm))|$false),inference(rw,[status(thm)],[79906,136,theory(equality)])).
% cnf(79917,plain,(aNaturalNumber0(esk2_2(xm,xm))),inference(cn,[status(thm)],[79916,theory(equality)])).
% cnf(79918,plain,(sdtasdt0(xm,esk2_2(xm,xm))=xm|$false),inference(rw,[status(thm)],[79907,136,theory(equality)])).
% cnf(79919,plain,(sdtasdt0(xm,esk2_2(xm,xm))=xm),inference(cn,[status(thm)],[79918,theory(equality)])).
% cnf(79972,plain,(sdtasdt0(sz10,xm)=xm|~aNaturalNumber0(esk2_2(xm,xm))|~aNaturalNumber0(xm)),inference(spm,[status(thm)],[659,79919,theory(equality)])).
% cnf(80097,plain,(sdtasdt0(sz10,xm)=xm|$false|~aNaturalNumber0(xm)),inference(rw,[status(thm)],[79972,79917,theory(equality)])).
% cnf(80098,plain,(sdtasdt0(sz10,xm)=xm|$false|$false),inference(rw,[status(thm)],[80097,136,theory(equality)])).
% cnf(80099,plain,(sdtasdt0(sz10,xm)=xm),inference(cn,[status(thm)],[80098,theory(equality)])).
% cnf(90177,plain,(sdtpldt0(xp,xn)=sdtpldt0(xn,xp)|~aNaturalNumber0(xp)),inference(spm,[status(thm)],[1051,8316,theory(equality)])).
% cnf(90380,plain,(sdtpldt0(xp,xn)=sdtpldt0(xn,xp)|$false),inference(rw,[status(thm)],[90177,135,theory(equality)])).
% cnf(90381,plain,(sdtpldt0(xp,xn)=sdtpldt0(xn,xp)),inference(cn,[status(thm)],[90380,theory(equality)])).
% cnf(94431,plain,(aNaturalNumber0(sdtpldt0(xp,xn))|~aNaturalNumber0(xn)),inference(spm,[status(thm)],[17884,90381,theory(equality)])).
% cnf(94618,plain,(aNaturalNumber0(sdtpldt0(xp,xn))|$false),inference(rw,[status(thm)],[94431,137,theory(equality)])).
% cnf(94619,plain,(aNaturalNumber0(sdtpldt0(xp,xn))),inference(cn,[status(thm)],[94618,theory(equality)])).
% cnf(115923,plain,(sdtpldt0(xr,xm)=sdtasdt0(sz10,sdtpldt0(xr,xm))|~aNaturalNumber0(xm)),inference(spm,[status(thm)],[1675,80099,theory(equality)])).
% cnf(116128,plain,(sdtpldt0(xr,xm)=sdtasdt0(sz10,sdtpldt0(xr,xm))|$false),inference(rw,[status(thm)],[115923,136,theory(equality)])).
% cnf(116129,plain,(sdtpldt0(xr,xm)=sdtasdt0(sz10,sdtpldt0(xr,xm))),inference(cn,[status(thm)],[116128,theory(equality)])).
% cnf(116235,plain,(aNaturalNumber0(sdtpldt0(xr,xm))|~aNaturalNumber0(sz10)|~aNaturalNumber0(xr)|~aNaturalNumber0(xm)),inference(spm,[status(thm)],[29632,116129,theory(equality)])).
% cnf(116237,plain,(sdtmndt0(X1,sdtasdt0(sz10,xr))=sdtasdt0(sz10,xm)|sdtpldt0(xr,xm)!=X1|~aNaturalNumber0(X1)|~aNaturalNumber0(sz10)|~aNaturalNumber0(xr)|~aNaturalNumber0(xm)),inference(spm,[status(thm)],[30617,116129,theory(equality)])).
% cnf(116238,plain,(sdtlseqdt0(sdtasdt0(sz10,xr),X1)|sdtpldt0(xr,xm)!=X1|~aNaturalNumber0(X1)|~aNaturalNumber0(sz10)|~aNaturalNumber0(xr)|~aNaturalNumber0(xm)),inference(spm,[status(thm)],[32219,116129,theory(equality)])).
% cnf(116470,plain,(aNaturalNumber0(sdtpldt0(xr,xm))|$false|~aNaturalNumber0(xr)|~aNaturalNumber0(xm)),inference(rw,[status(thm)],[116235,224,theory(equality)])).
% cnf(116471,plain,(aNaturalNumber0(sdtpldt0(xr,xm))|$false|$false|~aNaturalNumber0(xm)),inference(rw,[status(thm)],[116470,864,theory(equality)])).
% cnf(116472,plain,(aNaturalNumber0(sdtpldt0(xr,xm))|$false|$false|$false),inference(rw,[status(thm)],[116471,136,theory(equality)])).
% cnf(116473,plain,(aNaturalNumber0(sdtpldt0(xr,xm))),inference(cn,[status(thm)],[116472,theory(equality)])).
% cnf(116479,plain,(sdtmndt0(X1,xr)=sdtasdt0(sz10,xm)|sdtpldt0(xr,xm)!=X1|~aNaturalNumber0(X1)|~aNaturalNumber0(sz10)|~aNaturalNumber0(xr)|~aNaturalNumber0(xm)),inference(rw,[status(thm)],[116237,1635,theory(equality)])).
% cnf(116480,plain,(sdtmndt0(X1,xr)=xm|sdtpldt0(xr,xm)!=X1|~aNaturalNumber0(X1)|~aNaturalNumber0(sz10)|~aNaturalNumber0(xr)|~aNaturalNumber0(xm)),inference(rw,[status(thm)],[116479,80099,theory(equality)])).
% cnf(116481,plain,(sdtmndt0(X1,xr)=xm|sdtpldt0(xr,xm)!=X1|~aNaturalNumber0(X1)|$false|~aNaturalNumber0(xr)|~aNaturalNumber0(xm)),inference(rw,[status(thm)],[116480,224,theory(equality)])).
% cnf(116482,plain,(sdtmndt0(X1,xr)=xm|sdtpldt0(xr,xm)!=X1|~aNaturalNumber0(X1)|$false|$false|~aNaturalNumber0(xm)),inference(rw,[status(thm)],[116481,864,theory(equality)])).
% cnf(116483,plain,(sdtmndt0(X1,xr)=xm|sdtpldt0(xr,xm)!=X1|~aNaturalNumber0(X1)|$false|$false|$false),inference(rw,[status(thm)],[116482,136,theory(equality)])).
% cnf(116484,plain,(sdtmndt0(X1,xr)=xm|sdtpldt0(xr,xm)!=X1|~aNaturalNumber0(X1)),inference(cn,[status(thm)],[116483,theory(equality)])).
% cnf(116485,plain,(sdtlseqdt0(xr,X1)|sdtpldt0(xr,xm)!=X1|~aNaturalNumber0(X1)|~aNaturalNumber0(sz10)|~aNaturalNumber0(xr)|~aNaturalNumber0(xm)),inference(rw,[status(thm)],[116238,1635,theory(equality)])).
% cnf(116486,plain,(sdtlseqdt0(xr,X1)|sdtpldt0(xr,xm)!=X1|~aNaturalNumber0(X1)|$false|~aNaturalNumber0(xr)|~aNaturalNumber0(xm)),inference(rw,[status(thm)],[116485,224,theory(equality)])).
% cnf(116487,plain,(sdtlseqdt0(xr,X1)|sdtpldt0(xr,xm)!=X1|~aNaturalNumber0(X1)|$false|$false|~aNaturalNumber0(xm)),inference(rw,[status(thm)],[116486,864,theory(equality)])).
% cnf(116488,plain,(sdtlseqdt0(xr,X1)|sdtpldt0(xr,xm)!=X1|~aNaturalNumber0(X1)|$false|$false|$false),inference(rw,[status(thm)],[116487,136,theory(equality)])).
% cnf(116489,plain,(sdtlseqdt0(xr,X1)|sdtpldt0(xr,xm)!=X1|~aNaturalNumber0(X1)),inference(cn,[status(thm)],[116488,theory(equality)])).
% cnf(116504,plain,(aNaturalNumber0(sdtpldt0(xm,xr))|~aNaturalNumber0(xr)|~aNaturalNumber0(xm)),inference(spm,[status(thm)],[116473,58,theory(equality)])).
% cnf(116506,plain,(aNaturalNumber0(sdtpldt0(xm,xr))|$false|~aNaturalNumber0(xm)),inference(rw,[status(thm)],[116504,864,theory(equality)])).
% cnf(116507,plain,(aNaturalNumber0(sdtpldt0(xm,xr))|$false|$false),inference(rw,[status(thm)],[116506,136,theory(equality)])).
% cnf(116508,plain,(aNaturalNumber0(sdtpldt0(xm,xr))),inference(cn,[status(thm)],[116507,theory(equality)])).
% cnf(116871,plain,(sdtmndt0(sdtpldt0(xr,xm),xr)=xm|~aNaturalNumber0(sdtpldt0(xr,xm))),inference(er,[status(thm)],[116484,theory(equality)])).
% cnf(116874,plain,(sdtmndt0(sdtpldt0(xr,xm),xr)=xm|$false),inference(rw,[status(thm)],[116871,116473,theory(equality)])).
% cnf(116875,plain,(sdtmndt0(sdtpldt0(xr,xm),xr)=xm),inference(cn,[status(thm)],[116874,theory(equality)])).
% cnf(116884,plain,(sdtmndt0(sdtpldt0(xm,xr),xr)=xm|~aNaturalNumber0(xr)|~aNaturalNumber0(xm)),inference(spm,[status(thm)],[116875,58,theory(equality)])).
% cnf(116892,plain,(sdtmndt0(sdtpldt0(xm,xr),xr)=xm|$false|~aNaturalNumber0(xm)),inference(rw,[status(thm)],[116884,864,theory(equality)])).
% cnf(116893,plain,(sdtmndt0(sdtpldt0(xm,xr),xr)=xm|$false|$false),inference(rw,[status(thm)],[116892,136,theory(equality)])).
% cnf(116894,plain,(sdtmndt0(sdtpldt0(xm,xr),xr)=xm),inference(cn,[status(thm)],[116893,theory(equality)])).
% cnf(116907,plain,(sdtlseqdt0(xr,sdtpldt0(xr,xm))|~aNaturalNumber0(sdtpldt0(xr,xm))),inference(er,[status(thm)],[116489,theory(equality)])).
% cnf(116910,plain,(sdtlseqdt0(xr,sdtpldt0(xr,xm))|$false),inference(rw,[status(thm)],[116907,116473,theory(equality)])).
% cnf(116911,plain,(sdtlseqdt0(xr,sdtpldt0(xr,xm))),inference(cn,[status(thm)],[116910,theory(equality)])).
% cnf(116933,plain,(sdtlseqdt0(xr,sdtpldt0(xm,xr))|~aNaturalNumber0(xr)|~aNaturalNumber0(xm)),inference(spm,[status(thm)],[116911,58,theory(equality)])).
% cnf(116982,plain,(sdtlseqdt0(xr,sdtpldt0(xm,xr))|$false|~aNaturalNumber0(xm)),inference(rw,[status(thm)],[116933,864,theory(equality)])).
% cnf(116983,plain,(sdtlseqdt0(xr,sdtpldt0(xm,xr))|$false|$false),inference(rw,[status(thm)],[116982,136,theory(equality)])).
% cnf(116984,plain,(sdtlseqdt0(xr,sdtpldt0(xm,xr))),inference(cn,[status(thm)],[116983,theory(equality)])).
% cnf(117089,plain,(sdtpldt0(xr,sdtmndt0(sdtpldt0(xm,xr),xr))=sdtpldt0(xm,xr)|~aNaturalNumber0(xr)|~aNaturalNumber0(sdtpldt0(xm,xr))),inference(spm,[status(thm)],[540,116984,theory(equality)])).
% cnf(117119,plain,(sdtpldt0(xr,xm)=sdtpldt0(xm,xr)|~aNaturalNumber0(xr)|~aNaturalNumber0(sdtpldt0(xm,xr))),inference(rw,[status(thm)],[117089,116894,theory(equality)])).
% cnf(117120,plain,(sdtpldt0(xr,xm)=sdtpldt0(xm,xr)|$false|~aNaturalNumber0(sdtpldt0(xm,xr))),inference(rw,[status(thm)],[117119,864,theory(equality)])).
% cnf(117121,plain,(sdtpldt0(xr,xm)=sdtpldt0(xm,xr)|$false|$false),inference(rw,[status(thm)],[117120,116508,theory(equality)])).
% cnf(117122,plain,(sdtpldt0(xr,xm)=sdtpldt0(xm,xr)),inference(cn,[status(thm)],[117121,theory(equality)])).
% cnf(117210,plain,(sdtpldt0(xp,sdtpldt0(xm,xr))=sdtpldt0(xn,xm)|~aNaturalNumber0(xm)),inference(spm,[status(thm)],[1051,117122,theory(equality)])).
% cnf(117444,plain,(sdtpldt0(xp,sdtpldt0(xm,xr))=sdtpldt0(xn,xm)|$false),inference(rw,[status(thm)],[117210,136,theory(equality)])).
% cnf(117445,plain,(sdtpldt0(xp,sdtpldt0(xm,xr))=sdtpldt0(xn,xm)),inference(cn,[status(thm)],[117444,theory(equality)])).
% cnf(121010,plain,(aNaturalNumber0(sdtpldt0(xn,xm))|~aNaturalNumber0(sdtpldt0(xm,xr))|~aNaturalNumber0(xp)),inference(spm,[status(thm)],[52,117445,theory(equality)])).
% cnf(121103,plain,(aNaturalNumber0(sdtpldt0(xn,xm))|$false|~aNaturalNumber0(xp)),inference(rw,[status(thm)],[121010,116508,theory(equality)])).
% cnf(121104,plain,(aNaturalNumber0(sdtpldt0(xn,xm))|$false|$false),inference(rw,[status(thm)],[121103,135,theory(equality)])).
% cnf(121105,plain,(aNaturalNumber0(sdtpldt0(xn,xm))),inference(cn,[status(thm)],[121104,theory(equality)])).
% cnf(173038,plain,(aNaturalNumber0(sdtpldt0(xp,xp))|~aNaturalNumber0(xp)|~aNaturalNumber0(sz10)),inference(spm,[status(thm)],[29632,51012,theory(equality)])).
% cnf(173272,plain,(aNaturalNumber0(sdtpldt0(xp,xp))|$false|~aNaturalNumber0(sz10)),inference(rw,[status(thm)],[173038,135,theory(equality)])).
% cnf(173273,plain,(aNaturalNumber0(sdtpldt0(xp,xp))|$false|$false),inference(rw,[status(thm)],[173272,224,theory(equality)])).
% cnf(173274,plain,(aNaturalNumber0(sdtpldt0(xp,xp))),inference(cn,[status(thm)],[173273,theory(equality)])).
% cnf(326564,plain,(sdtpldt0(X1,sdtpldt0(xr,sz00))=sdtpldt0(xr,X1)|~aNaturalNumber0(X1)|~aNaturalNumber0(sz00)|~aNaturalNumber0(xr)),inference(spm,[status(thm)],[16944,6112,theory(equality)])).
% cnf(326886,plain,(sdtpldt0(X1,xr)=sdtpldt0(xr,X1)|~aNaturalNumber0(X1)|~aNaturalNumber0(sz00)|~aNaturalNumber0(xr)),inference(rw,[status(thm)],[326564,6076,theory(equality)])).
% cnf(326887,plain,(sdtpldt0(X1,xr)=sdtpldt0(xr,X1)|~aNaturalNumber0(X1)|$false|~aNaturalNumber0(xr)),inference(rw,[status(thm)],[326886,222,theory(equality)])).
% cnf(326888,plain,(sdtpldt0(X1,xr)=sdtpldt0(xr,X1)|~aNaturalNumber0(X1)|$false|$false),inference(rw,[status(thm)],[326887,864,theory(equality)])).
% cnf(326889,plain,(sdtpldt0(X1,xr)=sdtpldt0(xr,X1)|~aNaturalNumber0(X1)),inference(cn,[status(thm)],[326888,theory(equality)])).
% cnf(328666,plain,(sdtmndt0(sdtpldt0(xr,X1),X1)=xr|~aNaturalNumber0(xr)|~aNaturalNumber0(X1)),inference(spm,[status(thm)],[11787,326889,theory(equality)])).
% cnf(330010,plain,(sdtmndt0(sdtpldt0(xr,X1),X1)=xr|$false|~aNaturalNumber0(X1)),inference(rw,[status(thm)],[328666,864,theory(equality)])).
% cnf(330011,plain,(sdtmndt0(sdtpldt0(xr,X1),X1)=xr|~aNaturalNumber0(X1)),inference(cn,[status(thm)],[330010,theory(equality)])).
% cnf(461161,plain,(sdtpldt0(X1,X2)=X1|iLess0(X1,sdtpldt0(X1,X2))|~aNaturalNumber0(X1)|~aNaturalNumber0(X2)),inference(csr,[status(thm)],[9126,52])).
% cnf(525874,plain,(sdtpldt0(X1,sdtpldt0(xp,sz00))=sdtpldt0(xp,X1)|~aNaturalNumber0(X1)|~aNaturalNumber0(sz00)|~aNaturalNumber0(xp)),inference(spm,[status(thm)],[16944,10158,theory(equality)])).
% cnf(526293,plain,(sdtpldt0(X1,xp)=sdtpldt0(xp,X1)|~aNaturalNumber0(X1)|~aNaturalNumber0(sz00)|~aNaturalNumber0(xp)),inference(rw,[status(thm)],[525874,10106,theory(equality)])).
% cnf(526294,plain,(sdtpldt0(X1,xp)=sdtpldt0(xp,X1)|~aNaturalNumber0(X1)|$false|~aNaturalNumber0(xp)),inference(rw,[status(thm)],[526293,222,theory(equality)])).
% cnf(526295,plain,(sdtpldt0(X1,xp)=sdtpldt0(xp,X1)|~aNaturalNumber0(X1)|$false|$false),inference(rw,[status(thm)],[526294,135,theory(equality)])).
% cnf(526296,plain,(sdtpldt0(X1,xp)=sdtpldt0(xp,X1)|~aNaturalNumber0(X1)),inference(cn,[status(thm)],[526295,theory(equality)])).
% cnf(572375,plain,(sdtpldt0(xr,sdtpldt0(xp,xp))=sdtpldt0(xn,xp)|~aNaturalNumber0(xp)),inference(spm,[status(thm)],[8361,526296,theory(equality)])).
% cnf(572603,plain,(sdtmndt0(sdtpldt0(xp,X1),X1)=xp|~aNaturalNumber0(xp)|~aNaturalNumber0(X1)),inference(spm,[status(thm)],[11787,526296,theory(equality)])).
% cnf(573736,plain,(sdtpldt0(xr,sdtpldt0(xp,xp))=sdtpldt0(xp,xn)|~aNaturalNumber0(xp)),inference(rw,[status(thm)],[572375,90381,theory(equality)])).
% cnf(573737,plain,(sdtpldt0(xr,sdtpldt0(xp,xp))=sdtpldt0(xp,xn)|$false),inference(rw,[status(thm)],[573736,135,theory(equality)])).
% cnf(573738,plain,(sdtpldt0(xr,sdtpldt0(xp,xp))=sdtpldt0(xp,xn)),inference(cn,[status(thm)],[573737,theory(equality)])).
% cnf(574382,plain,(sdtmndt0(sdtpldt0(xp,X1),X1)=xp|$false|~aNaturalNumber0(X1)),inference(rw,[status(thm)],[572603,135,theory(equality)])).
% cnf(574383,plain,(sdtmndt0(sdtpldt0(xp,X1),X1)=xp|~aNaturalNumber0(X1)),inference(cn,[status(thm)],[574382,theory(equality)])).
% cnf(576888,plain,(sdtlseqdt0(sdtpldt0(xp,xp),sdtpldt0(xp,xn))|~aNaturalNumber0(xr)|~aNaturalNumber0(sdtpldt0(xp,xp))),inference(spm,[status(thm)],[9153,573738,theory(equality)])).
% cnf(577062,plain,(sdtmndt0(sdtpldt0(xp,xn),sdtpldt0(xp,xp))=xr|~aNaturalNumber0(sdtpldt0(xp,xp))),inference(spm,[status(thm)],[330011,573738,theory(equality)])).
% cnf(577098,plain,(sdtlseqdt0(sdtpldt0(xp,xp),sdtpldt0(xp,xn))|$false|~aNaturalNumber0(sdtpldt0(xp,xp))),inference(rw,[status(thm)],[576888,864,theory(equality)])).
% cnf(577099,plain,(sdtlseqdt0(sdtpldt0(xp,xp),sdtpldt0(xp,xn))|$false|$false),inference(rw,[status(thm)],[577098,173274,theory(equality)])).
% cnf(577100,plain,(sdtlseqdt0(sdtpldt0(xp,xp),sdtpldt0(xp,xn))),inference(cn,[status(thm)],[577099,theory(equality)])).
% cnf(577622,plain,(sdtmndt0(sdtpldt0(xp,xn),sdtpldt0(xp,xp))=xr|$false),inference(rw,[status(thm)],[577062,173274,theory(equality)])).
% cnf(577623,plain,(sdtmndt0(sdtpldt0(xp,xn),sdtpldt0(xp,xp))=xr),inference(cn,[status(thm)],[577622,theory(equality)])).
% cnf(578938,plain,(sdtmndt0(sdtpldt0(xn,xm),sdtpldt0(xm,xr))=xp|~aNaturalNumber0(sdtpldt0(xm,xr))),inference(spm,[status(thm)],[574383,117445,theory(equality)])).
% cnf(579031,plain,(sdtmndt0(sdtpldt0(xn,xm),sdtpldt0(xm,xr))=xp|$false),inference(rw,[status(thm)],[578938,116508,theory(equality)])).
% cnf(579032,plain,(sdtmndt0(sdtpldt0(xn,xm),sdtpldt0(xm,xr))=xp),inference(cn,[status(thm)],[579031,theory(equality)])).
% cnf(598196,plain,(sdtpldt0(sdtpldt0(xp,xp),X1)=sdtpldt0(xp,xn)|xr!=X1|~sdtlseqdt0(sdtpldt0(xp,xp),sdtpldt0(xp,xn))|~aNaturalNumber0(sdtpldt0(xp,xp))|~aNaturalNumber0(sdtpldt0(xp,xn))),inference(spm,[status(thm)],[91,577623,theory(equality)])).
% cnf(598210,plain,(sdtpldt0(sdtpldt0(xp,xp),X1)=sdtpldt0(xp,xn)|xr!=X1|$false|~aNaturalNumber0(sdtpldt0(xp,xp))|~aNaturalNumber0(sdtpldt0(xp,xn))),inference(rw,[status(thm)],[598196,577100,theory(equality)])).
% cnf(598211,plain,(sdtpldt0(sdtpldt0(xp,xp),X1)=sdtpldt0(xp,xn)|xr!=X1|$false|$false|~aNaturalNumber0(sdtpldt0(xp,xn))),inference(rw,[status(thm)],[598210,173274,theory(equality)])).
% cnf(598212,plain,(sdtpldt0(sdtpldt0(xp,xp),X1)=sdtpldt0(xp,xn)|xr!=X1|$false|$false|$false),inference(rw,[status(thm)],[598211,94619,theory(equality)])).
% cnf(598213,plain,(sdtpldt0(sdtpldt0(xp,xp),X1)=sdtpldt0(xp,xn)|xr!=X1),inference(cn,[status(thm)],[598212,theory(equality)])).
% cnf(633727,plain,(sdtpldt0(sdtpldt0(xp,xp),xr)=sdtpldt0(xp,xn)),inference(er,[status(thm)],[598213,theory(equality)])).
% cnf(634484,plain,(sdtpldt0(sdtpldt0(xr,X1),sdtmndt0(sdtpldt0(xn,X1),sdtpldt0(xr,X1)))=sdtpldt0(xn,X1)|~aNaturalNumber0(sdtpldt0(xr,X1))|~aNaturalNumber0(X1)),inference(csr,[status(thm)],[12088,18530])).
% cnf(634485,plain,(sdtpldt0(sdtpldt0(xr,X1),sdtmndt0(sdtpldt0(xn,X1),sdtpldt0(xr,X1)))=sdtpldt0(xn,X1)|~aNaturalNumber0(X1)),inference(csr,[status(thm)],[634484,17950])).
% cnf(634670,plain,(sdtpldt0(sdtpldt0(xm,xr),sdtmndt0(sdtpldt0(xn,xm),sdtpldt0(xm,xr)))=sdtpldt0(xn,xm)|~aNaturalNumber0(xm)),inference(spm,[status(thm)],[634485,117122,theory(equality)])).
% cnf(634888,plain,(sdtpldt0(sdtpldt0(xm,xr),xp)=sdtpldt0(xn,xm)|~aNaturalNumber0(xm)),inference(rw,[status(thm)],[634670,579032,theory(equality)])).
% cnf(634889,plain,(sdtpldt0(sdtpldt0(xm,xr),xp)=sdtpldt0(xn,xm)|$false),inference(rw,[status(thm)],[634888,136,theory(equality)])).
% cnf(634890,plain,(sdtpldt0(sdtpldt0(xm,xr),xp)=sdtpldt0(xn,xm)),inference(cn,[status(thm)],[634889,theory(equality)])).
% cnf(638783,plain,(~iLess0(sdtpldt0(xn,xm),sdtpldt0(sdtpldt0(xn,xm),xp))),inference(rw,[status(thm)],[1145,634890,theory(equality)])).
% cnf(639305,plain,(sdtpldt0(sdtpldt0(xn,xm),xp)=sdtpldt0(xn,xm)|~aNaturalNumber0(sdtpldt0(xn,xm))|~aNaturalNumber0(xp)),inference(spm,[status(thm)],[638783,461161,theory(equality)])).
% cnf(639326,plain,(sdtpldt0(sdtpldt0(xn,xm),xp)=sdtpldt0(xn,xm)|$false|~aNaturalNumber0(xp)),inference(rw,[status(thm)],[639305,121105,theory(equality)])).
% cnf(639327,plain,(sdtpldt0(sdtpldt0(xn,xm),xp)=sdtpldt0(xn,xm)|$false|$false),inference(rw,[status(thm)],[639326,135,theory(equality)])).
% cnf(639328,plain,(sdtpldt0(sdtpldt0(xn,xm),xp)=sdtpldt0(xn,xm)),inference(cn,[status(thm)],[639327,theory(equality)])).
% cnf(641197,plain,(xp=sz00|~aNaturalNumber0(sdtpldt0(xn,xm))|~aNaturalNumber0(xp)),inference(spm,[status(thm)],[506,639328,theory(equality)])).
% cnf(641388,plain,(xp=sz00|$false|~aNaturalNumber0(xp)),inference(rw,[status(thm)],[641197,121105,theory(equality)])).
% cnf(641389,plain,(xp=sz00|$false|$false),inference(rw,[status(thm)],[641388,135,theory(equality)])).
% cnf(641390,plain,(xp=sz00),inference(cn,[status(thm)],[641389,theory(equality)])).
% cnf(641873,plain,(xr=sdtpldt0(xp,xn)),inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[633727,641390,theory(equality)]),641390,theory(equality)]),2146,theory(equality)]),6099,theory(equality)])).
% cnf(641874,plain,(xr=xn),inference(rw,[status(thm)],[inference(rw,[status(thm)],[641873,641390,theory(equality)]),3147,theory(equality)])).
% cnf(641875,plain,($false),inference(sr,[status(thm)],[641874,146,theory(equality)])).
% cnf(641876,plain,($false),641875,['proof']).
% # SZS output end CNFRefutation
% # Processed clauses : 13061
% # ...of these trivial : 830
% # ...subsumed : 6816
% # ...remaining for further processing: 5415
% # Other redundant clauses eliminated : 188
% # Clauses deleted for lack of memory : 0
% # Backward-subsumed : 143
% # Backward-rewritten : 2281
% # Generated clauses : 201642
% # ...of the previous two non-trivial : 173514
% # Contextual simplify-reflections : 3363
% # Paramodulations : 201060
% # Factorizations : 16
% # Equation resolutions : 566
% # Current number of processed clauses: 2915
% # Positive orientable unit clauses: 963
% # Positive unorientable unit clauses: 0
% # Negative unit clauses : 9
% # Non-unit-clauses : 1943
% # Current number of unprocessed clauses: 92871
% # ...number of literals in the above : 437325
% # Clause-clause subsumption calls (NU) : 104072
% # Rec. Clause-clause subsumption calls : 60030
% # Unit Clause-clause subsumption calls : 2492
% # Rewrite failures with RHS unbound : 0
% # Indexed BW rewrite attempts : 4484
% # Indexed BW rewrite successes : 241
% # Backwards rewriting index: 2378 leaves, 1.42+/-1.489 terms/leaf
% # Paramod-from index: 1405 leaves, 1.50+/-1.721 terms/leaf
% # Paramod-into index: 2194 leaves, 1.42+/-1.510 terms/leaf
% # -------------------------------------------------
% # User time : 11.001 s
% # System time : 0.416 s
% # Total time : 11.417 s
% # Maximum resident set size: 0 pages
% PrfWatch: 20.25 CPU 20.55 WC
% FINAL PrfWatch: 20.25 CPU 20.55 WC
% SZS output end Solution for /tmp/SystemOnTPTP7197/NUM493+1.tptp
%
%------------------------------------------------------------------------------