TSTP Solution File: NUM476+1 by SRASS---0.1
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- Process Solution
%------------------------------------------------------------------------------
% File : SRASS---0.1
% Problem : NUM476+1 : TPTP v5.0.0. Released v4.0.0.
% Transfm : none
% Format : tptp
% Command : SRASS -q2 -a 0 10 10 10 -i3 -n60 %s
% Computer : art01.cs.miami.edu
% Model : i686 i686
% CPU : Intel(R) Pentium(R) 4 CPU 2.80GHz @ 2793MHz
% Memory : 2018MB
% OS : Linux 2.6.26.8-57.fc8
% CPULimit : 300s
% DateTime : Wed Dec 29 19:26:27 EST 2010
% Result : Theorem 5.24s
% Output : Solution 5.24s
% 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/SystemOnTPTP27836/NUM476+1.tptp
% Adding relevance values
% Extracting the conjecture
% Sorting axioms by relevance
% Looking for THM ...
% found
% SZS status THM for /tmp/SystemOnTPTP27836/NUM476+1.tptp
% SZS output start Solution for /tmp/SystemOnTPTP27836/NUM476+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 27932
% TreeLimitedRun: ----------------------------------------------------------
% PrfWatch: 0.00 CPU 0.02 WC
% PrfWatch: 1.91 CPU 2.03 WC
% # Preprocessing time : 0.018 s
% # Problem is unsatisfiable (or provable), constructing proof object
% # SZS status Theorem
% PrfWatch: 3.90 CPU 4.03 WC
% # SZS output start CNFRefutation.
% fof(1, axiom,aNaturalNumber0(sz00),file('/tmp/SRASS.s.p', mSortsC)).
% fof(2, axiom,![X1]:![X2]:((aNaturalNumber0(X1)&aNaturalNumber0(X2))=>aNaturalNumber0(sdtpldt0(X1,X2))),file('/tmp/SRASS.s.p', mSortsB)).
% fof(3, axiom,![X1]:![X2]:((aNaturalNumber0(X1)&aNaturalNumber0(X2))=>aNaturalNumber0(sdtasdt0(X1,X2))),file('/tmp/SRASS.s.p', mSortsB_02)).
% fof(4, axiom,![X1]:![X2]:((aNaturalNumber0(X1)&aNaturalNumber0(X2))=>sdtpldt0(X1,X2)=sdtpldt0(X2,X1)),file('/tmp/SRASS.s.p', mAddComm)).
% fof(5, 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(6, axiom,![X1]:(aNaturalNumber0(X1)=>(sdtpldt0(X1,sz00)=X1&X1=sdtpldt0(sz00,X1))),file('/tmp/SRASS.s.p', m_AddZero)).
% fof(7, axiom,![X1]:![X2]:((aNaturalNumber0(X1)&aNaturalNumber0(X2))=>sdtasdt0(X1,X2)=sdtasdt0(X2,X1)),file('/tmp/SRASS.s.p', mMulComm)).
% fof(8, 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(9, axiom,![X1]:(aNaturalNumber0(X1)=>(sdtasdt0(X1,sz00)=sz00&sz00=sdtasdt0(sz00,X1))),file('/tmp/SRASS.s.p', m_MulZero)).
% fof(10, 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(15, axiom,![X1]:![X2]:((aNaturalNumber0(X1)&aNaturalNumber0(X2))=>(sdtlseqdt0(X1,X2)<=>?[X3]:(aNaturalNumber0(X3)&sdtpldt0(X1,X3)=X2))),file('/tmp/SRASS.s.p', mDefLE)).
% fof(16, 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(23, axiom,![X1]:![X2]:((aNaturalNumber0(X1)&aNaturalNumber0(X2))=>(~(X1=sz00)=>sdtlseqdt0(X2,sdtasdt0(X2,X1)))),file('/tmp/SRASS.s.p', mMonMul2)).
% fof(24, axiom,![X1]:![X2]:((aNaturalNumber0(X1)&aNaturalNumber0(X2))=>(doDivides0(X1,X2)<=>?[X3]:(aNaturalNumber0(X3)&X2=sdtasdt0(X1,X3)))),file('/tmp/SRASS.s.p', mDefDiv)).
% fof(25, 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(26, 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(27, 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(28, axiom,((aNaturalNumber0(xl)&aNaturalNumber0(xm))&aNaturalNumber0(xn)),file('/tmp/SRASS.s.p', m__1324)).
% fof(29, axiom,(doDivides0(xl,xm)&doDivides0(xl,sdtpldt0(xm,xn))),file('/tmp/SRASS.s.p', m__1324_04)).
% fof(31, axiom,(aNaturalNumber0(sz10)&~(sz10=sz00)),file('/tmp/SRASS.s.p', mSortsC_01)).
% fof(32, axiom,![X1]:(aNaturalNumber0(X1)=>(sdtasdt0(X1,sz10)=X1&X1=sdtasdt0(sz10,X1))),file('/tmp/SRASS.s.p', m_MulUnit)).
% fof(36, conjecture,((~(xl=sz00)=>?[X1]:(X1=sdtsldt0(xm,xl)&?[X2]:((X2=sdtsldt0(sdtpldt0(xm,xn),xl)&sdtlseqdt0(X1,X2))&?[X3]:((X3=sdtmndt0(X2,X1)&sdtpldt0(sdtasdt0(xl,X1),sdtasdt0(xl,X3))=sdtpldt0(sdtasdt0(xl,X1),xn))&xn=sdtasdt0(xl,X3)))))=>doDivides0(xl,xn)),file('/tmp/SRASS.s.p', m__)).
% fof(37, negated_conjecture,~(((~(xl=sz00)=>?[X1]:(X1=sdtsldt0(xm,xl)&?[X2]:((X2=sdtsldt0(sdtpldt0(xm,xn),xl)&sdtlseqdt0(X1,X2))&?[X3]:((X3=sdtmndt0(X2,X1)&sdtpldt0(sdtasdt0(xl,X1),sdtasdt0(xl,X3))=sdtpldt0(sdtasdt0(xl,X1),xn))&xn=sdtasdt0(xl,X3)))))=>doDivides0(xl,xn))),inference(assume_negation,[status(cth)],[36])).
% cnf(40,plain,(aNaturalNumber0(sz00)),inference(split_conjunct,[status(thm)],[1])).
% fof(41, plain,![X1]:![X2]:((~(aNaturalNumber0(X1))|~(aNaturalNumber0(X2)))|aNaturalNumber0(sdtpldt0(X1,X2))),inference(fof_nnf,[status(thm)],[2])).
% fof(42, plain,![X3]:![X4]:((~(aNaturalNumber0(X3))|~(aNaturalNumber0(X4)))|aNaturalNumber0(sdtpldt0(X3,X4))),inference(variable_rename,[status(thm)],[41])).
% cnf(43,plain,(aNaturalNumber0(sdtpldt0(X1,X2))|~aNaturalNumber0(X2)|~aNaturalNumber0(X1)),inference(split_conjunct,[status(thm)],[42])).
% fof(44, plain,![X1]:![X2]:((~(aNaturalNumber0(X1))|~(aNaturalNumber0(X2)))|aNaturalNumber0(sdtasdt0(X1,X2))),inference(fof_nnf,[status(thm)],[3])).
% fof(45, plain,![X3]:![X4]:((~(aNaturalNumber0(X3))|~(aNaturalNumber0(X4)))|aNaturalNumber0(sdtasdt0(X3,X4))),inference(variable_rename,[status(thm)],[44])).
% cnf(46,plain,(aNaturalNumber0(sdtasdt0(X1,X2))|~aNaturalNumber0(X2)|~aNaturalNumber0(X1)),inference(split_conjunct,[status(thm)],[45])).
% fof(47, plain,![X1]:![X2]:((~(aNaturalNumber0(X1))|~(aNaturalNumber0(X2)))|sdtpldt0(X1,X2)=sdtpldt0(X2,X1)),inference(fof_nnf,[status(thm)],[4])).
% fof(48, plain,![X3]:![X4]:((~(aNaturalNumber0(X3))|~(aNaturalNumber0(X4)))|sdtpldt0(X3,X4)=sdtpldt0(X4,X3)),inference(variable_rename,[status(thm)],[47])).
% cnf(49,plain,(sdtpldt0(X1,X2)=sdtpldt0(X2,X1)|~aNaturalNumber0(X2)|~aNaturalNumber0(X1)),inference(split_conjunct,[status(thm)],[48])).
% fof(50, 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)],[5])).
% fof(51, 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)],[50])).
% cnf(52,plain,(sdtpldt0(sdtpldt0(X1,X2),X3)=sdtpldt0(X1,sdtpldt0(X2,X3))|~aNaturalNumber0(X3)|~aNaturalNumber0(X2)|~aNaturalNumber0(X1)),inference(split_conjunct,[status(thm)],[51])).
% fof(53, plain,![X1]:(~(aNaturalNumber0(X1))|(sdtpldt0(X1,sz00)=X1&X1=sdtpldt0(sz00,X1))),inference(fof_nnf,[status(thm)],[6])).
% fof(54, plain,![X2]:(~(aNaturalNumber0(X2))|(sdtpldt0(X2,sz00)=X2&X2=sdtpldt0(sz00,X2))),inference(variable_rename,[status(thm)],[53])).
% fof(55, plain,![X2]:((sdtpldt0(X2,sz00)=X2|~(aNaturalNumber0(X2)))&(X2=sdtpldt0(sz00,X2)|~(aNaturalNumber0(X2)))),inference(distribute,[status(thm)],[54])).
% cnf(56,plain,(X1=sdtpldt0(sz00,X1)|~aNaturalNumber0(X1)),inference(split_conjunct,[status(thm)],[55])).
% cnf(57,plain,(sdtpldt0(X1,sz00)=X1|~aNaturalNumber0(X1)),inference(split_conjunct,[status(thm)],[55])).
% fof(58, plain,![X1]:![X2]:((~(aNaturalNumber0(X1))|~(aNaturalNumber0(X2)))|sdtasdt0(X1,X2)=sdtasdt0(X2,X1)),inference(fof_nnf,[status(thm)],[7])).
% fof(59, plain,![X3]:![X4]:((~(aNaturalNumber0(X3))|~(aNaturalNumber0(X4)))|sdtasdt0(X3,X4)=sdtasdt0(X4,X3)),inference(variable_rename,[status(thm)],[58])).
% cnf(60,plain,(sdtasdt0(X1,X2)=sdtasdt0(X2,X1)|~aNaturalNumber0(X2)|~aNaturalNumber0(X1)),inference(split_conjunct,[status(thm)],[59])).
% fof(61, 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)],[8])).
% fof(62, 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)],[61])).
% cnf(63,plain,(sdtasdt0(sdtasdt0(X1,X2),X3)=sdtasdt0(X1,sdtasdt0(X2,X3))|~aNaturalNumber0(X3)|~aNaturalNumber0(X2)|~aNaturalNumber0(X1)),inference(split_conjunct,[status(thm)],[62])).
% fof(64, plain,![X1]:(~(aNaturalNumber0(X1))|(sdtasdt0(X1,sz00)=sz00&sz00=sdtasdt0(sz00,X1))),inference(fof_nnf,[status(thm)],[9])).
% fof(65, plain,![X2]:(~(aNaturalNumber0(X2))|(sdtasdt0(X2,sz00)=sz00&sz00=sdtasdt0(sz00,X2))),inference(variable_rename,[status(thm)],[64])).
% fof(66, plain,![X2]:((sdtasdt0(X2,sz00)=sz00|~(aNaturalNumber0(X2)))&(sz00=sdtasdt0(sz00,X2)|~(aNaturalNumber0(X2)))),inference(distribute,[status(thm)],[65])).
% cnf(67,plain,(sz00=sdtasdt0(sz00,X1)|~aNaturalNumber0(X1)),inference(split_conjunct,[status(thm)],[66])).
% cnf(68,plain,(sdtasdt0(X1,sz00)=sz00|~aNaturalNumber0(X1)),inference(split_conjunct,[status(thm)],[66])).
% fof(69, 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)],[10])).
% fof(70, 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)],[69])).
% fof(71, 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)],[70])).
% cnf(73,plain,(sdtasdt0(X3,sdtpldt0(X2,X1))=sdtpldt0(sdtasdt0(X3,X2),sdtasdt0(X3,X1))|~aNaturalNumber0(X1)|~aNaturalNumber0(X2)|~aNaturalNumber0(X3)),inference(split_conjunct,[status(thm)],[71])).
% fof(93, 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)],[15])).
% fof(94, 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)],[93])).
% fof(95, 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)],[94])).
% fof(96, 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)],[95])).
% fof(97, 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)],[96])).
% cnf(98,plain,(sdtpldt0(X2,esk1_2(X2,X1))=X1|~aNaturalNumber0(X1)|~aNaturalNumber0(X2)|~sdtlseqdt0(X2,X1)),inference(split_conjunct,[status(thm)],[97])).
% cnf(99,plain,(aNaturalNumber0(esk1_2(X2,X1))|~aNaturalNumber0(X1)|~aNaturalNumber0(X2)|~sdtlseqdt0(X2,X1)),inference(split_conjunct,[status(thm)],[97])).
% cnf(100,plain,(sdtlseqdt0(X2,X1)|~aNaturalNumber0(X1)|~aNaturalNumber0(X2)|sdtpldt0(X2,X3)!=X1|~aNaturalNumber0(X3)),inference(split_conjunct,[status(thm)],[97])).
% fof(101, 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)],[16])).
% fof(102, 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)],[101])).
% fof(103, 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)],[102])).
% fof(104, 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)],[103])).
% cnf(105,plain,(X3=sdtmndt0(X1,X2)|~aNaturalNumber0(X1)|~aNaturalNumber0(X2)|~sdtlseqdt0(X2,X1)|sdtpldt0(X2,X3)!=X1|~aNaturalNumber0(X3)),inference(split_conjunct,[status(thm)],[104])).
% cnf(106,plain,(sdtpldt0(X2,X3)=X1|~aNaturalNumber0(X1)|~aNaturalNumber0(X2)|~sdtlseqdt0(X2,X1)|X3!=sdtmndt0(X1,X2)),inference(split_conjunct,[status(thm)],[104])).
% cnf(107,plain,(aNaturalNumber0(X3)|~aNaturalNumber0(X1)|~aNaturalNumber0(X2)|~sdtlseqdt0(X2,X1)|X3!=sdtmndt0(X1,X2)),inference(split_conjunct,[status(thm)],[104])).
% fof(137, plain,![X1]:![X2]:((~(aNaturalNumber0(X1))|~(aNaturalNumber0(X2)))|(X1=sz00|sdtlseqdt0(X2,sdtasdt0(X2,X1)))),inference(fof_nnf,[status(thm)],[23])).
% fof(138, plain,![X3]:![X4]:((~(aNaturalNumber0(X3))|~(aNaturalNumber0(X4)))|(X3=sz00|sdtlseqdt0(X4,sdtasdt0(X4,X3)))),inference(variable_rename,[status(thm)],[137])).
% cnf(139,plain,(sdtlseqdt0(X1,sdtasdt0(X1,X2))|X2=sz00|~aNaturalNumber0(X1)|~aNaturalNumber0(X2)),inference(split_conjunct,[status(thm)],[138])).
% fof(140, 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)],[24])).
% fof(141, 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)],[140])).
% fof(142, 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)],[141])).
% fof(143, 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)],[142])).
% fof(144, 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)],[143])).
% cnf(145,plain,(X1=sdtasdt0(X2,esk2_2(X2,X1))|~aNaturalNumber0(X1)|~aNaturalNumber0(X2)|~doDivides0(X2,X1)),inference(split_conjunct,[status(thm)],[144])).
% cnf(146,plain,(aNaturalNumber0(esk2_2(X2,X1))|~aNaturalNumber0(X1)|~aNaturalNumber0(X2)|~doDivides0(X2,X1)),inference(split_conjunct,[status(thm)],[144])).
% cnf(147,plain,(doDivides0(X2,X1)|~aNaturalNumber0(X1)|~aNaturalNumber0(X2)|X1!=sdtasdt0(X2,X3)|~aNaturalNumber0(X3)),inference(split_conjunct,[status(thm)],[144])).
% fof(148, 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)],[25])).
% fof(149, 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)],[148])).
% fof(150, 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)],[149])).
% fof(151, 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)],[150])).
% cnf(154,plain,(X2=sz00|aNaturalNumber0(X3)|~aNaturalNumber0(X1)|~aNaturalNumber0(X2)|~doDivides0(X2,X1)|X3!=sdtsldt0(X1,X2)),inference(split_conjunct,[status(thm)],[151])).
% fof(155, plain,![X1]:![X2]:![X3]:(((~(aNaturalNumber0(X1))|~(aNaturalNumber0(X2)))|~(aNaturalNumber0(X3)))|((~(doDivides0(X1,X2))|~(doDivides0(X2,X3)))|doDivides0(X1,X3))),inference(fof_nnf,[status(thm)],[26])).
% fof(156, plain,![X4]:![X5]:![X6]:(((~(aNaturalNumber0(X4))|~(aNaturalNumber0(X5)))|~(aNaturalNumber0(X6)))|((~(doDivides0(X4,X5))|~(doDivides0(X5,X6)))|doDivides0(X4,X6))),inference(variable_rename,[status(thm)],[155])).
% cnf(157,plain,(doDivides0(X1,X2)|~doDivides0(X3,X2)|~doDivides0(X1,X3)|~aNaturalNumber0(X2)|~aNaturalNumber0(X3)|~aNaturalNumber0(X1)),inference(split_conjunct,[status(thm)],[156])).
% fof(158, 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)],[27])).
% fof(159, 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)],[158])).
% cnf(160,plain,(doDivides0(X1,sdtpldt0(X2,X3))|~doDivides0(X1,X3)|~doDivides0(X1,X2)|~aNaturalNumber0(X3)|~aNaturalNumber0(X2)|~aNaturalNumber0(X1)),inference(split_conjunct,[status(thm)],[159])).
% cnf(161,plain,(aNaturalNumber0(xn)),inference(split_conjunct,[status(thm)],[28])).
% cnf(162,plain,(aNaturalNumber0(xm)),inference(split_conjunct,[status(thm)],[28])).
% cnf(163,plain,(aNaturalNumber0(xl)),inference(split_conjunct,[status(thm)],[28])).
% cnf(164,plain,(doDivides0(xl,sdtpldt0(xm,xn))),inference(split_conjunct,[status(thm)],[29])).
% cnf(165,plain,(doDivides0(xl,xm)),inference(split_conjunct,[status(thm)],[29])).
% cnf(171,plain,(sz10!=sz00),inference(split_conjunct,[status(thm)],[31])).
% cnf(172,plain,(aNaturalNumber0(sz10)),inference(split_conjunct,[status(thm)],[31])).
% fof(173, plain,![X1]:(~(aNaturalNumber0(X1))|(sdtasdt0(X1,sz10)=X1&X1=sdtasdt0(sz10,X1))),inference(fof_nnf,[status(thm)],[32])).
% fof(174, plain,![X2]:(~(aNaturalNumber0(X2))|(sdtasdt0(X2,sz10)=X2&X2=sdtasdt0(sz10,X2))),inference(variable_rename,[status(thm)],[173])).
% fof(175, plain,![X2]:((sdtasdt0(X2,sz10)=X2|~(aNaturalNumber0(X2)))&(X2=sdtasdt0(sz10,X2)|~(aNaturalNumber0(X2)))),inference(distribute,[status(thm)],[174])).
% cnf(176,plain,(X1=sdtasdt0(sz10,X1)|~aNaturalNumber0(X1)),inference(split_conjunct,[status(thm)],[175])).
% cnf(177,plain,(sdtasdt0(X1,sz10)=X1|~aNaturalNumber0(X1)),inference(split_conjunct,[status(thm)],[175])).
% fof(185, negated_conjecture,((xl=sz00|?[X1]:(X1=sdtsldt0(xm,xl)&?[X2]:((X2=sdtsldt0(sdtpldt0(xm,xn),xl)&sdtlseqdt0(X1,X2))&?[X3]:((X3=sdtmndt0(X2,X1)&sdtpldt0(sdtasdt0(xl,X1),sdtasdt0(xl,X3))=sdtpldt0(sdtasdt0(xl,X1),xn))&xn=sdtasdt0(xl,X3)))))&~(doDivides0(xl,xn))),inference(fof_nnf,[status(thm)],[37])).
% fof(186, negated_conjecture,((xl=sz00|?[X4]:(X4=sdtsldt0(xm,xl)&?[X5]:((X5=sdtsldt0(sdtpldt0(xm,xn),xl)&sdtlseqdt0(X4,X5))&?[X6]:((X6=sdtmndt0(X5,X4)&sdtpldt0(sdtasdt0(xl,X4),sdtasdt0(xl,X6))=sdtpldt0(sdtasdt0(xl,X4),xn))&xn=sdtasdt0(xl,X6)))))&~(doDivides0(xl,xn))),inference(variable_rename,[status(thm)],[185])).
% fof(187, negated_conjecture,((xl=sz00|(esk3_0=sdtsldt0(xm,xl)&((esk4_0=sdtsldt0(sdtpldt0(xm,xn),xl)&sdtlseqdt0(esk3_0,esk4_0))&((esk5_0=sdtmndt0(esk4_0,esk3_0)&sdtpldt0(sdtasdt0(xl,esk3_0),sdtasdt0(xl,esk5_0))=sdtpldt0(sdtasdt0(xl,esk3_0),xn))&xn=sdtasdt0(xl,esk5_0)))))&~(doDivides0(xl,xn))),inference(skolemize,[status(esa)],[186])).
% fof(188, negated_conjecture,(((esk3_0=sdtsldt0(xm,xl)|xl=sz00)&(((esk4_0=sdtsldt0(sdtpldt0(xm,xn),xl)|xl=sz00)&(sdtlseqdt0(esk3_0,esk4_0)|xl=sz00))&(((esk5_0=sdtmndt0(esk4_0,esk3_0)|xl=sz00)&(sdtpldt0(sdtasdt0(xl,esk3_0),sdtasdt0(xl,esk5_0))=sdtpldt0(sdtasdt0(xl,esk3_0),xn)|xl=sz00))&(xn=sdtasdt0(xl,esk5_0)|xl=sz00))))&~(doDivides0(xl,xn))),inference(distribute,[status(thm)],[187])).
% cnf(189,negated_conjecture,(~doDivides0(xl,xn)),inference(split_conjunct,[status(thm)],[188])).
% cnf(190,negated_conjecture,(xl=sz00|xn=sdtasdt0(xl,esk5_0)),inference(split_conjunct,[status(thm)],[188])).
% cnf(192,negated_conjecture,(xl=sz00|esk5_0=sdtmndt0(esk4_0,esk3_0)),inference(split_conjunct,[status(thm)],[188])).
% cnf(193,negated_conjecture,(xl=sz00|sdtlseqdt0(esk3_0,esk4_0)),inference(split_conjunct,[status(thm)],[188])).
% cnf(194,negated_conjecture,(xl=sz00|esk4_0=sdtsldt0(sdtpldt0(xm,xn),xl)),inference(split_conjunct,[status(thm)],[188])).
% cnf(195,negated_conjecture,(xl=sz00|esk3_0=sdtsldt0(xm,xl)),inference(split_conjunct,[status(thm)],[188])).
% cnf(312,plain,(sz00=X1|sdtlseqdt0(sz00,sz00)|~aNaturalNumber0(X1)|~aNaturalNumber0(sz00)),inference(spm,[status(thm)],[139,67,theory(equality)])).
% cnf(314,plain,(sz00=X1|sdtlseqdt0(X2,sdtasdt0(X1,X2))|~aNaturalNumber0(X1)|~aNaturalNumber0(X2)),inference(spm,[status(thm)],[139,60,theory(equality)])).
% cnf(320,plain,(sz00=X1|sdtlseqdt0(sz00,sz00)|~aNaturalNumber0(X1)|$false),inference(rw,[status(thm)],[312,40,theory(equality)])).
% cnf(321,plain,(sz00=X1|sdtlseqdt0(sz00,sz00)|~aNaturalNumber0(X1)),inference(cn,[status(thm)],[320,theory(equality)])).
% cnf(340,plain,(aNaturalNumber0(esk2_2(xl,xm))|~aNaturalNumber0(xl)|~aNaturalNumber0(xm)),inference(spm,[status(thm)],[146,165,theory(equality)])).
% cnf(341,plain,(aNaturalNumber0(esk2_2(xl,sdtpldt0(xm,xn)))|~aNaturalNumber0(xl)|~aNaturalNumber0(sdtpldt0(xm,xn))),inference(spm,[status(thm)],[146,164,theory(equality)])).
% cnf(342,plain,(aNaturalNumber0(esk2_2(xl,xm))|$false|~aNaturalNumber0(xm)),inference(rw,[status(thm)],[340,163,theory(equality)])).
% cnf(343,plain,(aNaturalNumber0(esk2_2(xl,xm))|$false|$false),inference(rw,[status(thm)],[342,162,theory(equality)])).
% cnf(344,plain,(aNaturalNumber0(esk2_2(xl,xm))),inference(cn,[status(thm)],[343,theory(equality)])).
% cnf(345,plain,(aNaturalNumber0(esk2_2(xl,sdtpldt0(xm,xn)))|$false|~aNaturalNumber0(sdtpldt0(xm,xn))),inference(rw,[status(thm)],[341,163,theory(equality)])).
% cnf(346,plain,(aNaturalNumber0(esk2_2(xl,sdtpldt0(xm,xn)))|~aNaturalNumber0(sdtpldt0(xm,xn))),inference(cn,[status(thm)],[345,theory(equality)])).
% cnf(347,plain,(aNaturalNumber0(sdtmndt0(X1,X2))|~sdtlseqdt0(X2,X1)|~aNaturalNumber0(X2)|~aNaturalNumber0(X1)),inference(er,[status(thm)],[107,theory(equality)])).
% cnf(349,plain,(sdtlseqdt0(X1,sdtpldt0(X1,X2))|~aNaturalNumber0(X2)|~aNaturalNumber0(X1)|~aNaturalNumber0(sdtpldt0(X1,X2))),inference(er,[status(thm)],[100,theory(equality)])).
% cnf(361,plain,(doDivides0(X1,sdtasdt0(X1,X2))|~aNaturalNumber0(X2)|~aNaturalNumber0(X1)|~aNaturalNumber0(sdtasdt0(X1,X2))),inference(er,[status(thm)],[147,theory(equality)])).
% cnf(362,plain,(doDivides0(sz10,X1)|X2!=X1|~aNaturalNumber0(X2)|~aNaturalNumber0(sz10)|~aNaturalNumber0(X1)),inference(spm,[status(thm)],[147,176,theory(equality)])).
% cnf(365,plain,(doDivides0(X1,X2)|X1!=X2|~aNaturalNumber0(sz10)|~aNaturalNumber0(X1)|~aNaturalNumber0(X2)),inference(spm,[status(thm)],[147,177,theory(equality)])).
% cnf(369,plain,(doDivides0(sz10,X1)|X2!=X1|~aNaturalNumber0(X2)|$false|~aNaturalNumber0(X1)),inference(rw,[status(thm)],[362,172,theory(equality)])).
% cnf(370,plain,(doDivides0(sz10,X1)|X2!=X1|~aNaturalNumber0(X2)|~aNaturalNumber0(X1)),inference(cn,[status(thm)],[369,theory(equality)])).
% cnf(371,plain,(doDivides0(sz10,X1)|~aNaturalNumber0(X1)),inference(er,[status(thm)],[370,theory(equality)])).
% cnf(376,plain,(doDivides0(X1,X2)|X1!=X2|$false|~aNaturalNumber0(X1)|~aNaturalNumber0(X2)),inference(rw,[status(thm)],[365,172,theory(equality)])).
% cnf(377,plain,(doDivides0(X1,X2)|X1!=X2|~aNaturalNumber0(X1)|~aNaturalNumber0(X2)),inference(cn,[status(thm)],[376,theory(equality)])).
% cnf(378,plain,(doDivides0(X1,X1)|~aNaturalNumber0(X1)),inference(er,[status(thm)],[377,theory(equality)])).
% cnf(428,negated_conjecture,(sz00=xl|aNaturalNumber0(X1)|esk3_0!=X1|~doDivides0(xl,xm)|~aNaturalNumber0(xl)|~aNaturalNumber0(xm)),inference(spm,[status(thm)],[154,195,theory(equality)])).
% cnf(429,negated_conjecture,(sz00=xl|aNaturalNumber0(X1)|esk4_0!=X1|~doDivides0(xl,sdtpldt0(xm,xn))|~aNaturalNumber0(xl)|~aNaturalNumber0(sdtpldt0(xm,xn))),inference(spm,[status(thm)],[154,194,theory(equality)])).
% cnf(430,negated_conjecture,(sz00=xl|aNaturalNumber0(X1)|esk3_0!=X1|$false|~aNaturalNumber0(xl)|~aNaturalNumber0(xm)),inference(rw,[status(thm)],[428,165,theory(equality)])).
% cnf(431,negated_conjecture,(sz00=xl|aNaturalNumber0(X1)|esk3_0!=X1|$false|$false|~aNaturalNumber0(xm)),inference(rw,[status(thm)],[430,163,theory(equality)])).
% cnf(432,negated_conjecture,(sz00=xl|aNaturalNumber0(X1)|esk3_0!=X1|$false|$false|$false),inference(rw,[status(thm)],[431,162,theory(equality)])).
% cnf(433,negated_conjecture,(sz00=xl|aNaturalNumber0(X1)|esk3_0!=X1),inference(cn,[status(thm)],[432,theory(equality)])).
% cnf(434,negated_conjecture,(sz00=xl|aNaturalNumber0(X1)|esk4_0!=X1|$false|~aNaturalNumber0(xl)|~aNaturalNumber0(sdtpldt0(xm,xn))),inference(rw,[status(thm)],[429,164,theory(equality)])).
% cnf(435,negated_conjecture,(sz00=xl|aNaturalNumber0(X1)|esk4_0!=X1|$false|$false|~aNaturalNumber0(sdtpldt0(xm,xn))),inference(rw,[status(thm)],[434,163,theory(equality)])).
% cnf(436,negated_conjecture,(sz00=xl|aNaturalNumber0(X1)|esk4_0!=X1|~aNaturalNumber0(sdtpldt0(xm,xn))),inference(cn,[status(thm)],[435,theory(equality)])).
% cnf(437,plain,(doDivides0(X1,xm)|~doDivides0(X1,xl)|~aNaturalNumber0(xl)|~aNaturalNumber0(xm)|~aNaturalNumber0(X1)),inference(spm,[status(thm)],[157,165,theory(equality)])).
% cnf(439,plain,(doDivides0(X1,xm)|~doDivides0(X1,xl)|$false|~aNaturalNumber0(xm)|~aNaturalNumber0(X1)),inference(rw,[status(thm)],[437,163,theory(equality)])).
% cnf(440,plain,(doDivides0(X1,xm)|~doDivides0(X1,xl)|$false|$false|~aNaturalNumber0(X1)),inference(rw,[status(thm)],[439,162,theory(equality)])).
% cnf(441,plain,(doDivides0(X1,xm)|~doDivides0(X1,xl)|~aNaturalNumber0(X1)),inference(cn,[status(thm)],[440,theory(equality)])).
% cnf(453,plain,(sdtasdt0(xl,esk2_2(xl,sdtpldt0(xm,xn)))=sdtpldt0(xm,xn)|~aNaturalNumber0(xl)|~aNaturalNumber0(sdtpldt0(xm,xn))),inference(spm,[status(thm)],[145,164,theory(equality)])).
% cnf(457,plain,(sdtasdt0(xl,esk2_2(xl,sdtpldt0(xm,xn)))=sdtpldt0(xm,xn)|$false|~aNaturalNumber0(sdtpldt0(xm,xn))),inference(rw,[status(thm)],[453,163,theory(equality)])).
% cnf(458,plain,(sdtasdt0(xl,esk2_2(xl,sdtpldt0(xm,xn)))=sdtpldt0(xm,xn)|~aNaturalNumber0(sdtpldt0(xm,xn))),inference(cn,[status(thm)],[457,theory(equality)])).
% cnf(459,plain,(sdtpldt0(X1,sdtmndt0(X2,X1))=X2|~sdtlseqdt0(X1,X2)|~aNaturalNumber0(X1)|~aNaturalNumber0(X2)),inference(er,[status(thm)],[106,theory(equality)])).
% cnf(523,plain,(doDivides0(xl,sdtpldt0(X1,xm))|~doDivides0(xl,X1)|~aNaturalNumber0(xm)|~aNaturalNumber0(X1)|~aNaturalNumber0(xl)),inference(spm,[status(thm)],[160,165,theory(equality)])).
% cnf(524,plain,(doDivides0(xl,sdtpldt0(X1,sdtpldt0(xm,xn)))|~doDivides0(xl,X1)|~aNaturalNumber0(sdtpldt0(xm,xn))|~aNaturalNumber0(X1)|~aNaturalNumber0(xl)),inference(spm,[status(thm)],[160,164,theory(equality)])).
% cnf(525,plain,(doDivides0(xl,sdtpldt0(X1,xm))|~doDivides0(xl,X1)|$false|~aNaturalNumber0(X1)|~aNaturalNumber0(xl)),inference(rw,[status(thm)],[523,162,theory(equality)])).
% cnf(526,plain,(doDivides0(xl,sdtpldt0(X1,xm))|~doDivides0(xl,X1)|$false|~aNaturalNumber0(X1)|$false),inference(rw,[status(thm)],[525,163,theory(equality)])).
% cnf(527,plain,(doDivides0(xl,sdtpldt0(X1,xm))|~doDivides0(xl,X1)|~aNaturalNumber0(X1)),inference(cn,[status(thm)],[526,theory(equality)])).
% cnf(528,plain,(doDivides0(xl,sdtpldt0(X1,sdtpldt0(xm,xn)))|~doDivides0(xl,X1)|~aNaturalNumber0(sdtpldt0(xm,xn))|~aNaturalNumber0(X1)|$false),inference(rw,[status(thm)],[524,163,theory(equality)])).
% cnf(529,plain,(doDivides0(xl,sdtpldt0(X1,sdtpldt0(xm,xn)))|~doDivides0(xl,X1)|~aNaturalNumber0(sdtpldt0(xm,xn))|~aNaturalNumber0(X1)),inference(cn,[status(thm)],[528,theory(equality)])).
% cnf(542,plain,(sdtmndt0(X1,X2)=X3|sdtpldt0(X2,X3)!=X1|~aNaturalNumber0(X3)|~aNaturalNumber0(X2)|~aNaturalNumber0(X1)),inference(csr,[status(thm)],[105,100])).
% cnf(543,plain,(sdtmndt0(sdtpldt0(X1,X2),X1)=X2|~aNaturalNumber0(X2)|~aNaturalNumber0(X1)|~aNaturalNumber0(sdtpldt0(X1,X2))),inference(er,[status(thm)],[542,theory(equality)])).
% cnf(545,plain,(sdtmndt0(X1,sz00)=X2|X2!=X1|~aNaturalNumber0(X2)|~aNaturalNumber0(sz00)|~aNaturalNumber0(X1)),inference(spm,[status(thm)],[542,56,theory(equality)])).
% cnf(546,plain,(sdtmndt0(X1,X2)=sz00|X2!=X1|~aNaturalNumber0(sz00)|~aNaturalNumber0(X2)|~aNaturalNumber0(X1)),inference(spm,[status(thm)],[542,57,theory(equality)])).
% cnf(549,plain,(sdtmndt0(X1,sz00)=X2|X2!=X1|~aNaturalNumber0(X2)|$false|~aNaturalNumber0(X1)),inference(rw,[status(thm)],[545,40,theory(equality)])).
% cnf(550,plain,(sdtmndt0(X1,sz00)=X2|X2!=X1|~aNaturalNumber0(X2)|~aNaturalNumber0(X1)),inference(cn,[status(thm)],[549,theory(equality)])).
% cnf(551,plain,(sdtmndt0(X1,sz00)=X1|~aNaturalNumber0(X1)),inference(er,[status(thm)],[550,theory(equality)])).
% cnf(552,plain,(sdtmndt0(X1,X2)=sz00|X2!=X1|$false|~aNaturalNumber0(X2)|~aNaturalNumber0(X1)),inference(rw,[status(thm)],[546,40,theory(equality)])).
% cnf(553,plain,(sdtmndt0(X1,X2)=sz00|X2!=X1|~aNaturalNumber0(X2)|~aNaturalNumber0(X1)),inference(cn,[status(thm)],[552,theory(equality)])).
% cnf(554,plain,(sdtmndt0(X1,X1)=sz00|~aNaturalNumber0(X1)),inference(er,[status(thm)],[553,theory(equality)])).
% cnf(557,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)],[49,52,theory(equality)])).
% cnf(569,plain,(sdtpldt0(X1,X2)=sdtpldt0(sz00,sdtpldt0(X1,X2))|~aNaturalNumber0(X2)|~aNaturalNumber0(X1)|~aNaturalNumber0(sz00)),inference(spm,[status(thm)],[52,56,theory(equality)])).
% cnf(571,plain,(sdtpldt0(sdtpldt0(X2,X1),X3)=sdtpldt0(X1,sdtpldt0(X2,X3))|~aNaturalNumber0(X3)|~aNaturalNumber0(X2)|~aNaturalNumber0(X1)),inference(spm,[status(thm)],[52,49,theory(equality)])).
% cnf(575,plain,(sdtpldt0(X1,X2)=sdtpldt0(sz00,sdtpldt0(X1,X2))|~aNaturalNumber0(X2)|~aNaturalNumber0(X1)|$false),inference(rw,[status(thm)],[569,40,theory(equality)])).
% cnf(576,plain,(sdtpldt0(X1,X2)=sdtpldt0(sz00,sdtpldt0(X1,X2))|~aNaturalNumber0(X2)|~aNaturalNumber0(X1)),inference(cn,[status(thm)],[575,theory(equality)])).
% cnf(592,plain,(sdtasdt0(X1,X2)=sdtasdt0(sz10,sdtasdt0(X1,X2))|~aNaturalNumber0(X2)|~aNaturalNumber0(X1)|~aNaturalNumber0(sz10)),inference(spm,[status(thm)],[63,176,theory(equality)])).
% cnf(594,plain,(sdtasdt0(sz00,X2)=sdtasdt0(sz00,sdtasdt0(X1,X2))|~aNaturalNumber0(X2)|~aNaturalNumber0(X1)|~aNaturalNumber0(sz00)),inference(spm,[status(thm)],[63,67,theory(equality)])).
% cnf(603,plain,(sdtasdt0(X1,X2)=sdtasdt0(sz10,sdtasdt0(X1,X2))|~aNaturalNumber0(X2)|~aNaturalNumber0(X1)|$false),inference(rw,[status(thm)],[592,172,theory(equality)])).
% cnf(604,plain,(sdtasdt0(X1,X2)=sdtasdt0(sz10,sdtasdt0(X1,X2))|~aNaturalNumber0(X2)|~aNaturalNumber0(X1)),inference(cn,[status(thm)],[603,theory(equality)])).
% cnf(607,plain,(sdtasdt0(sz00,X2)=sdtasdt0(sz00,sdtasdt0(X1,X2))|~aNaturalNumber0(X2)|~aNaturalNumber0(X1)|$false),inference(rw,[status(thm)],[594,40,theory(equality)])).
% cnf(608,plain,(sdtasdt0(sz00,X2)=sdtasdt0(sz00,sdtasdt0(X1,X2))|~aNaturalNumber0(X2)|~aNaturalNumber0(X1)),inference(cn,[status(thm)],[607,theory(equality)])).
% cnf(631,plain,(sdtpldt0(sdtasdt0(sz00,X1),sz00)=sdtasdt0(sz00,sdtpldt0(X1,X2))|~aNaturalNumber0(sz00)|~aNaturalNumber0(X1)|~aNaturalNumber0(X2)),inference(spm,[status(thm)],[73,67,theory(equality)])).
% cnf(650,plain,(sdtpldt0(sdtasdt0(sz00,X1),sz00)=sdtasdt0(sz00,sdtpldt0(X1,X2))|$false|~aNaturalNumber0(X1)|~aNaturalNumber0(X2)),inference(rw,[status(thm)],[631,40,theory(equality)])).
% cnf(651,plain,(sdtpldt0(sdtasdt0(sz00,X1),sz00)=sdtasdt0(sz00,sdtpldt0(X1,X2))|~aNaturalNumber0(X1)|~aNaturalNumber0(X2)),inference(cn,[status(thm)],[650,theory(equality)])).
% cnf(985,plain,(sdtasdt0(xl,esk2_2(xl,sdtpldt0(xm,xn)))=sdtpldt0(xm,xn)|~aNaturalNumber0(xn)|~aNaturalNumber0(xm)),inference(spm,[status(thm)],[458,43,theory(equality)])).
% cnf(993,plain,(sdtasdt0(xl,esk2_2(xl,sdtpldt0(xm,xn)))=sdtpldt0(xm,xn)|$false|~aNaturalNumber0(xm)),inference(rw,[status(thm)],[985,161,theory(equality)])).
% cnf(994,plain,(sdtasdt0(xl,esk2_2(xl,sdtpldt0(xm,xn)))=sdtpldt0(xm,xn)|$false|$false),inference(rw,[status(thm)],[993,162,theory(equality)])).
% cnf(995,plain,(sdtasdt0(xl,esk2_2(xl,sdtpldt0(xm,xn)))=sdtpldt0(xm,xn)),inference(cn,[status(thm)],[994,theory(equality)])).
% cnf(999,plain,(aNaturalNumber0(sdtpldt0(xm,xn))|~aNaturalNumber0(esk2_2(xl,sdtpldt0(xm,xn)))|~aNaturalNumber0(xl)),inference(spm,[status(thm)],[46,995,theory(equality)])).
% cnf(1019,plain,(aNaturalNumber0(sdtpldt0(xm,xn))|~aNaturalNumber0(esk2_2(xl,sdtpldt0(xm,xn)))|$false),inference(rw,[status(thm)],[999,163,theory(equality)])).
% cnf(1020,plain,(aNaturalNumber0(sdtpldt0(xm,xn))|~aNaturalNumber0(esk2_2(xl,sdtpldt0(xm,xn)))),inference(cn,[status(thm)],[1019,theory(equality)])).
% cnf(1283,negated_conjecture,(xl=sz00|aNaturalNumber0(esk3_0)),inference(er,[status(thm)],[433,theory(equality)])).
% cnf(3501,plain,(aNaturalNumber0(esk2_2(xl,sdtpldt0(xm,xn)))|~aNaturalNumber0(xn)|~aNaturalNumber0(xm)),inference(spm,[status(thm)],[346,43,theory(equality)])).
% cnf(3511,plain,(aNaturalNumber0(esk2_2(xl,sdtpldt0(xm,xn)))|$false|~aNaturalNumber0(xm)),inference(rw,[status(thm)],[3501,161,theory(equality)])).
% cnf(3512,plain,(aNaturalNumber0(esk2_2(xl,sdtpldt0(xm,xn)))|$false|$false),inference(rw,[status(thm)],[3511,162,theory(equality)])).
% cnf(3513,plain,(aNaturalNumber0(esk2_2(xl,sdtpldt0(xm,xn)))),inference(cn,[status(thm)],[3512,theory(equality)])).
% cnf(3596,negated_conjecture,(aNaturalNumber0(sdtmndt0(esk4_0,esk3_0))|xl=sz00|~aNaturalNumber0(esk3_0)|~aNaturalNumber0(esk4_0)),inference(spm,[status(thm)],[347,193,theory(equality)])).
% cnf(3739,plain,(sdtlseqdt0(X1,sdtpldt0(X1,X2))|~aNaturalNumber0(X2)|~aNaturalNumber0(X1)),inference(csr,[status(thm)],[349,43])).
% cnf(4299,plain,(doDivides0(X1,sdtasdt0(X1,X2))|~aNaturalNumber0(X2)|~aNaturalNumber0(X1)),inference(csr,[status(thm)],[361,46])).
% cnf(4305,negated_conjecture,(doDivides0(xl,xn)|xl=sz00|~aNaturalNumber0(esk5_0)|~aNaturalNumber0(xl)),inference(spm,[status(thm)],[4299,190,theory(equality)])).
% cnf(4312,plain,(doDivides0(sz00,sz00)|~aNaturalNumber0(X1)|~aNaturalNumber0(sz00)),inference(spm,[status(thm)],[4299,67,theory(equality)])).
% cnf(4319,negated_conjecture,(doDivides0(xl,xn)|xl=sz00|~aNaturalNumber0(esk5_0)|$false),inference(rw,[status(thm)],[4305,163,theory(equality)])).
% cnf(4320,negated_conjecture,(doDivides0(xl,xn)|xl=sz00|~aNaturalNumber0(esk5_0)),inference(cn,[status(thm)],[4319,theory(equality)])).
% cnf(4321,negated_conjecture,(xl=sz00|~aNaturalNumber0(esk5_0)),inference(sr,[status(thm)],[4320,189,theory(equality)])).
% cnf(4337,plain,(doDivides0(sz00,sz00)|~aNaturalNumber0(X1)|$false),inference(rw,[status(thm)],[4312,40,theory(equality)])).
% cnf(4338,plain,(doDivides0(sz00,sz00)|~aNaturalNumber0(X1)),inference(cn,[status(thm)],[4337,theory(equality)])).
% cnf(4864,plain,(sz00=esk2_2(xl,sdtpldt0(xm,xn))|sdtlseqdt0(sz00,sz00)),inference(spm,[status(thm)],[321,3513,theory(equality)])).
% cnf(4868,plain,(aNaturalNumber0(sdtpldt0(xm,xn))|$false),inference(rw,[status(thm)],[1020,3513,theory(equality)])).
% cnf(4869,plain,(aNaturalNumber0(sdtpldt0(xm,xn))),inference(cn,[status(thm)],[4868,theory(equality)])).
% cnf(4887,plain,(sdtasdt0(xl,sz00)=sdtpldt0(xm,xn)|sdtlseqdt0(sz00,sz00)),inference(spm,[status(thm)],[995,4864,theory(equality)])).
% cnf(4916,plain,(doDivides0(sz10,xm)|~aNaturalNumber0(sz10)|~aNaturalNumber0(xl)),inference(spm,[status(thm)],[441,371,theory(equality)])).
% cnf(4921,plain,(doDivides0(sz10,xm)|$false|~aNaturalNumber0(xl)),inference(rw,[status(thm)],[4916,172,theory(equality)])).
% cnf(4922,plain,(doDivides0(sz10,xm)|$false|$false),inference(rw,[status(thm)],[4921,163,theory(equality)])).
% cnf(4923,plain,(doDivides0(sz10,xm)),inference(cn,[status(thm)],[4922,theory(equality)])).
% cnf(4932,plain,(aNaturalNumber0(esk2_2(sz10,xm))|~aNaturalNumber0(sz10)|~aNaturalNumber0(xm)),inference(spm,[status(thm)],[146,4923,theory(equality)])).
% cnf(4933,plain,(sdtasdt0(sz10,esk2_2(sz10,xm))=xm|~aNaturalNumber0(sz10)|~aNaturalNumber0(xm)),inference(spm,[status(thm)],[145,4923,theory(equality)])).
% cnf(4936,plain,(aNaturalNumber0(esk2_2(sz10,xm))|$false|~aNaturalNumber0(xm)),inference(rw,[status(thm)],[4932,172,theory(equality)])).
% cnf(4937,plain,(aNaturalNumber0(esk2_2(sz10,xm))|$false|$false),inference(rw,[status(thm)],[4936,162,theory(equality)])).
% cnf(4938,plain,(aNaturalNumber0(esk2_2(sz10,xm))),inference(cn,[status(thm)],[4937,theory(equality)])).
% cnf(4939,plain,(sdtasdt0(sz10,esk2_2(sz10,xm))=xm|$false|~aNaturalNumber0(xm)),inference(rw,[status(thm)],[4933,172,theory(equality)])).
% cnf(4940,plain,(sdtasdt0(sz10,esk2_2(sz10,xm))=xm|$false|$false),inference(rw,[status(thm)],[4939,162,theory(equality)])).
% cnf(4941,plain,(sdtasdt0(sz10,esk2_2(sz10,xm))=xm),inference(cn,[status(thm)],[4940,theory(equality)])).
% cnf(5181,plain,(doDivides0(sz00,sz00)),inference(spm,[status(thm)],[4338,344,theory(equality)])).
% cnf(5233,plain,(aNaturalNumber0(esk2_2(sz00,sz00))|~aNaturalNumber0(sz00)),inference(spm,[status(thm)],[146,5181,theory(equality)])).
% cnf(5234,plain,(sdtasdt0(sz00,esk2_2(sz00,sz00))=sz00|~aNaturalNumber0(sz00)),inference(spm,[status(thm)],[145,5181,theory(equality)])).
% cnf(5237,plain,(aNaturalNumber0(esk2_2(sz00,sz00))|$false),inference(rw,[status(thm)],[5233,40,theory(equality)])).
% cnf(5238,plain,(aNaturalNumber0(esk2_2(sz00,sz00))),inference(cn,[status(thm)],[5237,theory(equality)])).
% cnf(5239,plain,(sdtasdt0(sz00,esk2_2(sz00,sz00))=sz00|$false),inference(rw,[status(thm)],[5234,40,theory(equality)])).
% cnf(5240,plain,(sdtasdt0(sz00,esk2_2(sz00,sz00))=sz00),inference(cn,[status(thm)],[5239,theory(equality)])).
% cnf(7177,negated_conjecture,(xl=sz00|aNaturalNumber0(X1)|esk4_0!=X1|$false),inference(rw,[status(thm)],[436,4869,theory(equality)])).
% cnf(7178,negated_conjecture,(xl=sz00|aNaturalNumber0(X1)|esk4_0!=X1),inference(cn,[status(thm)],[7177,theory(equality)])).
% cnf(7179,negated_conjecture,(xl=sz00|aNaturalNumber0(esk4_0)),inference(er,[status(thm)],[7178,theory(equality)])).
% cnf(7741,plain,(sdtpldt0(sz00,sdtmndt0(sz00,sz00))=sz00|sdtpldt0(xm,xn)=sdtasdt0(xl,sz00)|~aNaturalNumber0(sz00)),inference(spm,[status(thm)],[459,4887,theory(equality)])).
% cnf(7814,plain,(sdtpldt0(sz00,sdtmndt0(sz00,sz00))=sz00|sdtpldt0(xm,xn)=sdtasdt0(xl,sz00)|$false),inference(rw,[status(thm)],[7741,40,theory(equality)])).
% cnf(7815,plain,(sdtpldt0(sz00,sdtmndt0(sz00,sz00))=sz00|sdtpldt0(xm,xn)=sdtasdt0(xl,sz00)),inference(cn,[status(thm)],[7814,theory(equality)])).
% cnf(8513,plain,(sdtpldt0(xm,xn)=sdtasdt0(xl,sz00)|sdtpldt0(sz00,sz00)=sz00|~aNaturalNumber0(sz00)),inference(spm,[status(thm)],[7815,551,theory(equality)])).
% cnf(8541,plain,(sdtpldt0(xm,xn)=sdtasdt0(xl,sz00)|sdtpldt0(sz00,sz00)=sz00|$false),inference(rw,[status(thm)],[8513,40,theory(equality)])).
% cnf(8542,plain,(sdtpldt0(xm,xn)=sdtasdt0(xl,sz00)|sdtpldt0(sz00,sz00)=sz00),inference(cn,[status(thm)],[8541,theory(equality)])).
% cnf(8550,plain,(sdtlseqdt0(xm,sdtasdt0(xl,sz00))|sdtpldt0(sz00,sz00)=sz00|~aNaturalNumber0(xn)|~aNaturalNumber0(xm)),inference(spm,[status(thm)],[3739,8542,theory(equality)])).
% cnf(8602,plain,(sdtlseqdt0(xm,sdtasdt0(xl,sz00))|sdtpldt0(sz00,sz00)=sz00|$false|~aNaturalNumber0(xm)),inference(rw,[status(thm)],[8550,161,theory(equality)])).
% cnf(8603,plain,(sdtlseqdt0(xm,sdtasdt0(xl,sz00))|sdtpldt0(sz00,sz00)=sz00|$false|$false),inference(rw,[status(thm)],[8602,162,theory(equality)])).
% cnf(8604,plain,(sdtlseqdt0(xm,sdtasdt0(xl,sz00))|sdtpldt0(sz00,sz00)=sz00),inference(cn,[status(thm)],[8603,theory(equality)])).
% cnf(9854,plain,(sdtpldt0(sz00,sz00)=sz00|sdtlseqdt0(xm,sz00)|~aNaturalNumber0(xl)),inference(spm,[status(thm)],[8604,68,theory(equality)])).
% cnf(9887,plain,(sdtpldt0(sz00,sz00)=sz00|sdtlseqdt0(xm,sz00)|$false),inference(rw,[status(thm)],[9854,163,theory(equality)])).
% cnf(9888,plain,(sdtpldt0(sz00,sz00)=sz00|sdtlseqdt0(xm,sz00)),inference(cn,[status(thm)],[9887,theory(equality)])).
% cnf(9892,plain,(aNaturalNumber0(sdtmndt0(sz00,xm))|sdtpldt0(sz00,sz00)=sz00|~aNaturalNumber0(xm)|~aNaturalNumber0(sz00)),inference(spm,[status(thm)],[347,9888,theory(equality)])).
% cnf(9896,plain,(sdtpldt0(xm,sdtmndt0(sz00,xm))=sz00|sdtpldt0(sz00,sz00)=sz00|~aNaturalNumber0(xm)|~aNaturalNumber0(sz00)),inference(spm,[status(thm)],[459,9888,theory(equality)])).
% cnf(9913,plain,(aNaturalNumber0(sdtmndt0(sz00,xm))|sdtpldt0(sz00,sz00)=sz00|$false|~aNaturalNumber0(sz00)),inference(rw,[status(thm)],[9892,162,theory(equality)])).
% cnf(9914,plain,(aNaturalNumber0(sdtmndt0(sz00,xm))|sdtpldt0(sz00,sz00)=sz00|$false|$false),inference(rw,[status(thm)],[9913,40,theory(equality)])).
% cnf(9915,plain,(aNaturalNumber0(sdtmndt0(sz00,xm))|sdtpldt0(sz00,sz00)=sz00),inference(cn,[status(thm)],[9914,theory(equality)])).
% cnf(9925,plain,(sdtpldt0(xm,sdtmndt0(sz00,xm))=sz00|sdtpldt0(sz00,sz00)=sz00|$false|~aNaturalNumber0(sz00)),inference(rw,[status(thm)],[9896,162,theory(equality)])).
% cnf(9926,plain,(sdtpldt0(xm,sdtmndt0(sz00,xm))=sz00|sdtpldt0(sz00,sz00)=sz00|$false|$false),inference(rw,[status(thm)],[9925,40,theory(equality)])).
% cnf(9927,plain,(sdtpldt0(xm,sdtmndt0(sz00,xm))=sz00|sdtpldt0(sz00,sz00)=sz00),inference(cn,[status(thm)],[9926,theory(equality)])).
% cnf(10551,plain,(sz00=sdtmndt0(sz00,xm)|sdtlseqdt0(sz00,sz00)|sdtpldt0(sz00,sz00)=sz00),inference(spm,[status(thm)],[321,9915,theory(equality)])).
% cnf(10555,plain,(sdtpldt0(xm,sz00)=sz00|sdtpldt0(sz00,sz00)=sz00|sdtlseqdt0(sz00,sz00)),inference(spm,[status(thm)],[9927,10551,theory(equality)])).
% cnf(10566,plain,(sdtpldt0(sz00,sdtmndt0(sz00,sz00))=sz00|sdtpldt0(sz00,sz00)=sz00|sdtpldt0(xm,sz00)=sz00|~aNaturalNumber0(sz00)),inference(spm,[status(thm)],[459,10555,theory(equality)])).
% cnf(10576,plain,(sdtpldt0(sz00,sdtmndt0(sz00,sz00))=sz00|sdtpldt0(sz00,sz00)=sz00|sdtpldt0(xm,sz00)=sz00|$false),inference(rw,[status(thm)],[10566,40,theory(equality)])).
% cnf(10577,plain,(sdtpldt0(sz00,sdtmndt0(sz00,sz00))=sz00|sdtpldt0(sz00,sz00)=sz00|sdtpldt0(xm,sz00)=sz00),inference(cn,[status(thm)],[10576,theory(equality)])).
% cnf(10603,plain,(sdtpldt0(sz00,sz00)=sz00|sdtpldt0(xm,sz00)=sz00|~aNaturalNumber0(sz00)),inference(spm,[status(thm)],[10577,551,theory(equality)])).
% cnf(10631,plain,(sdtpldt0(sz00,sz00)=sz00|sdtpldt0(xm,sz00)=sz00|$false),inference(rw,[status(thm)],[10603,40,theory(equality)])).
% cnf(10632,plain,(sdtpldt0(sz00,sz00)=sz00|sdtpldt0(xm,sz00)=sz00),inference(cn,[status(thm)],[10631,theory(equality)])).
% cnf(10633,plain,(sdtpldt0(sz00,xm)=sz00|sdtpldt0(sz00,sz00)=sz00|~aNaturalNumber0(xm)|~aNaturalNumber0(sz00)),inference(spm,[status(thm)],[49,10632,theory(equality)])).
% cnf(10655,plain,(sdtpldt0(sz00,xm)=sz00|sdtpldt0(sz00,sz00)=sz00|$false|~aNaturalNumber0(sz00)),inference(rw,[status(thm)],[10633,162,theory(equality)])).
% cnf(10656,plain,(sdtpldt0(sz00,xm)=sz00|sdtpldt0(sz00,sz00)=sz00|$false|$false),inference(rw,[status(thm)],[10655,40,theory(equality)])).
% cnf(10657,plain,(sdtpldt0(sz00,xm)=sz00|sdtpldt0(sz00,sz00)=sz00),inference(cn,[status(thm)],[10656,theory(equality)])).
% cnf(10757,plain,(sdtlseqdt0(sz00,sz00)|sdtpldt0(sz00,sz00)=sz00|~aNaturalNumber0(xm)|~aNaturalNumber0(sz00)),inference(spm,[status(thm)],[3739,10657,theory(equality)])).
% cnf(10785,plain,(sdtlseqdt0(sz00,sz00)|sdtpldt0(sz00,sz00)=sz00|$false|~aNaturalNumber0(sz00)),inference(rw,[status(thm)],[10757,162,theory(equality)])).
% cnf(10786,plain,(sdtlseqdt0(sz00,sz00)|sdtpldt0(sz00,sz00)=sz00|$false|$false),inference(rw,[status(thm)],[10785,40,theory(equality)])).
% cnf(10787,plain,(sdtlseqdt0(sz00,sz00)|sdtpldt0(sz00,sz00)=sz00),inference(cn,[status(thm)],[10786,theory(equality)])).
% cnf(10833,plain,(sdtpldt0(sz00,sdtmndt0(sz00,sz00))=sz00|sdtpldt0(sz00,sz00)=sz00|~aNaturalNumber0(sz00)),inference(spm,[status(thm)],[459,10787,theory(equality)])).
% cnf(10843,plain,(sdtpldt0(sz00,sdtmndt0(sz00,sz00))=sz00|sdtpldt0(sz00,sz00)=sz00|$false),inference(rw,[status(thm)],[10833,40,theory(equality)])).
% cnf(10844,plain,(sdtpldt0(sz00,sdtmndt0(sz00,sz00))=sz00|sdtpldt0(sz00,sz00)=sz00),inference(cn,[status(thm)],[10843,theory(equality)])).
% cnf(10870,plain,(sdtpldt0(sz00,sz00)=sz00|~aNaturalNumber0(sz00)),inference(spm,[status(thm)],[10844,551,theory(equality)])).
% cnf(10898,plain,(sdtpldt0(sz00,sz00)=sz00|$false),inference(rw,[status(thm)],[10870,40,theory(equality)])).
% cnf(10899,plain,(sdtpldt0(sz00,sz00)=sz00),inference(cn,[status(thm)],[10898,theory(equality)])).
% cnf(11533,plain,(doDivides0(xl,sdtpldt0(xl,xm))|~aNaturalNumber0(xl)),inference(spm,[status(thm)],[527,378,theory(equality)])).
% cnf(11539,plain,(doDivides0(xl,sdtpldt0(xl,xm))|$false),inference(rw,[status(thm)],[11533,163,theory(equality)])).
% cnf(11540,plain,(doDivides0(xl,sdtpldt0(xl,xm))),inference(cn,[status(thm)],[11539,theory(equality)])).
% cnf(11722,plain,(doDivides0(xl,sdtpldt0(X1,sdtpldt0(xm,xn)))|~doDivides0(xl,X1)|$false|~aNaturalNumber0(X1)),inference(rw,[status(thm)],[529,4869,theory(equality)])).
% cnf(11723,plain,(doDivides0(xl,sdtpldt0(X1,sdtpldt0(xm,xn)))|~doDivides0(xl,X1)|~aNaturalNumber0(X1)),inference(cn,[status(thm)],[11722,theory(equality)])).
% cnf(11733,plain,(doDivides0(xl,sdtpldt0(sdtpldt0(xl,xm),sdtpldt0(xm,xn)))|~aNaturalNumber0(sdtpldt0(xl,xm))),inference(spm,[status(thm)],[11723,11540,theory(equality)])).
% cnf(12334,plain,(sdtmndt0(sdtpldt0(X1,X2),X1)=X2|~aNaturalNumber0(X2)|~aNaturalNumber0(X1)),inference(csr,[status(thm)],[543,43])).
% cnf(13460,plain,(sdtpldt0(X1,sdtpldt0(X2,X3))=sdtpldt0(X2,sdtpldt0(X3,X1))|~aNaturalNumber0(X1)|~aNaturalNumber0(X3)|~aNaturalNumber0(X2)),inference(csr,[status(thm)],[557,43])).
% cnf(15465,plain,(doDivides0(xl,sdtpldt0(sdtpldt0(xl,xm),sdtpldt0(xm,xn)))|~aNaturalNumber0(xm)|~aNaturalNumber0(xl)),inference(spm,[status(thm)],[11733,43,theory(equality)])).
% cnf(15466,plain,(doDivides0(xl,sdtpldt0(sdtpldt0(xl,xm),sdtpldt0(xm,xn)))|$false|~aNaturalNumber0(xl)),inference(rw,[status(thm)],[15465,162,theory(equality)])).
% cnf(15467,plain,(doDivides0(xl,sdtpldt0(sdtpldt0(xl,xm),sdtpldt0(xm,xn)))|$false|$false),inference(rw,[status(thm)],[15466,163,theory(equality)])).
% cnf(15468,plain,(doDivides0(xl,sdtpldt0(sdtpldt0(xl,xm),sdtpldt0(xm,xn)))),inference(cn,[status(thm)],[15467,theory(equality)])).
% cnf(15482,plain,(doDivides0(xl,sdtpldt0(xn,sdtpldt0(sdtpldt0(xl,xm),xm)))|~aNaturalNumber0(xn)|~aNaturalNumber0(xm)|~aNaturalNumber0(sdtpldt0(xl,xm))),inference(spm,[status(thm)],[15468,13460,theory(equality)])).
% cnf(15506,plain,(doDivides0(xl,sdtpldt0(xn,sdtpldt0(sdtpldt0(xl,xm),xm)))|$false|~aNaturalNumber0(xm)|~aNaturalNumber0(sdtpldt0(xl,xm))),inference(rw,[status(thm)],[15482,161,theory(equality)])).
% cnf(15507,plain,(doDivides0(xl,sdtpldt0(xn,sdtpldt0(sdtpldt0(xl,xm),xm)))|$false|$false|~aNaturalNumber0(sdtpldt0(xl,xm))),inference(rw,[status(thm)],[15506,162,theory(equality)])).
% cnf(15508,plain,(doDivides0(xl,sdtpldt0(xn,sdtpldt0(sdtpldt0(xl,xm),xm)))|~aNaturalNumber0(sdtpldt0(xl,xm))),inference(cn,[status(thm)],[15507,theory(equality)])).
% cnf(19971,plain,(doDivides0(xl,sdtpldt0(xn,sdtpldt0(sdtpldt0(xl,xm),xm)))|~aNaturalNumber0(xm)|~aNaturalNumber0(xl)),inference(spm,[status(thm)],[15508,43,theory(equality)])).
% cnf(19972,plain,(doDivides0(xl,sdtpldt0(xn,sdtpldt0(sdtpldt0(xl,xm),xm)))|$false|~aNaturalNumber0(xl)),inference(rw,[status(thm)],[19971,162,theory(equality)])).
% cnf(19973,plain,(doDivides0(xl,sdtpldt0(xn,sdtpldt0(sdtpldt0(xl,xm),xm)))|$false|$false),inference(rw,[status(thm)],[19972,163,theory(equality)])).
% cnf(19974,plain,(doDivides0(xl,sdtpldt0(xn,sdtpldt0(sdtpldt0(xl,xm),xm)))),inference(cn,[status(thm)],[19973,theory(equality)])).
% cnf(19985,plain,(doDivides0(xl,sdtpldt0(xn,sdtpldt0(xl,sdtpldt0(xm,xm))))|~aNaturalNumber0(xm)|~aNaturalNumber0(xl)),inference(spm,[status(thm)],[19974,52,theory(equality)])).
% cnf(20004,plain,(doDivides0(xl,sdtpldt0(xn,sdtpldt0(xl,sdtpldt0(xm,xm))))|$false|~aNaturalNumber0(xl)),inference(rw,[status(thm)],[19985,162,theory(equality)])).
% cnf(20005,plain,(doDivides0(xl,sdtpldt0(xn,sdtpldt0(xl,sdtpldt0(xm,xm))))|$false|$false),inference(rw,[status(thm)],[20004,163,theory(equality)])).
% cnf(20006,plain,(doDivides0(xl,sdtpldt0(xn,sdtpldt0(xl,sdtpldt0(xm,xm))))),inference(cn,[status(thm)],[20005,theory(equality)])).
% cnf(20020,plain,(doDivides0(xl,sdtpldt0(xl,sdtpldt0(sdtpldt0(xm,xm),xn)))|~aNaturalNumber0(xn)|~aNaturalNumber0(sdtpldt0(xm,xm))|~aNaturalNumber0(xl)),inference(spm,[status(thm)],[20006,13460,theory(equality)])).
% cnf(20039,plain,(doDivides0(xl,sdtpldt0(xl,sdtpldt0(sdtpldt0(xm,xm),xn)))|$false|~aNaturalNumber0(sdtpldt0(xm,xm))|~aNaturalNumber0(xl)),inference(rw,[status(thm)],[20020,161,theory(equality)])).
% cnf(20040,plain,(doDivides0(xl,sdtpldt0(xl,sdtpldt0(sdtpldt0(xm,xm),xn)))|$false|~aNaturalNumber0(sdtpldt0(xm,xm))|$false),inference(rw,[status(thm)],[20039,163,theory(equality)])).
% cnf(20041,plain,(doDivides0(xl,sdtpldt0(xl,sdtpldt0(sdtpldt0(xm,xm),xn)))|~aNaturalNumber0(sdtpldt0(xm,xm))),inference(cn,[status(thm)],[20040,theory(equality)])).
% cnf(20242,plain,(sdtasdt0(sz10,xm)=xm|~aNaturalNumber0(esk2_2(sz10,xm))|~aNaturalNumber0(sz10)),inference(spm,[status(thm)],[604,4941,theory(equality)])).
% cnf(20247,plain,(sdtasdt0(sz10,sdtpldt0(xm,xn))=sdtpldt0(xm,xn)|~aNaturalNumber0(esk2_2(xl,sdtpldt0(xm,xn)))|~aNaturalNumber0(xl)),inference(spm,[status(thm)],[604,995,theory(equality)])).
% cnf(20363,plain,(sdtasdt0(sz10,xm)=xm|$false|~aNaturalNumber0(sz10)),inference(rw,[status(thm)],[20242,4938,theory(equality)])).
% cnf(20364,plain,(sdtasdt0(sz10,xm)=xm|$false|$false),inference(rw,[status(thm)],[20363,172,theory(equality)])).
% cnf(20365,plain,(sdtasdt0(sz10,xm)=xm),inference(cn,[status(thm)],[20364,theory(equality)])).
% cnf(20375,plain,(sdtasdt0(sz10,sdtpldt0(xm,xn))=sdtpldt0(xm,xn)|$false|~aNaturalNumber0(xl)),inference(rw,[status(thm)],[20247,3513,theory(equality)])).
% cnf(20376,plain,(sdtasdt0(sz10,sdtpldt0(xm,xn))=sdtpldt0(xm,xn)|$false|$false),inference(rw,[status(thm)],[20375,163,theory(equality)])).
% cnf(20377,plain,(sdtasdt0(sz10,sdtpldt0(xm,xn))=sdtpldt0(xm,xn)),inference(cn,[status(thm)],[20376,theory(equality)])).
% cnf(20408,plain,(sz00=sz10|sdtlseqdt0(xm,xm)|~aNaturalNumber0(sz10)|~aNaturalNumber0(xm)),inference(spm,[status(thm)],[314,20365,theory(equality)])).
% cnf(20467,plain,(sz00=sz10|sdtlseqdt0(xm,xm)|$false|~aNaturalNumber0(xm)),inference(rw,[status(thm)],[20408,172,theory(equality)])).
% cnf(20468,plain,(sz00=sz10|sdtlseqdt0(xm,xm)|$false|$false),inference(rw,[status(thm)],[20467,162,theory(equality)])).
% cnf(20469,plain,(sz00=sz10|sdtlseqdt0(xm,xm)),inference(cn,[status(thm)],[20468,theory(equality)])).
% cnf(20470,plain,(sdtlseqdt0(xm,xm)),inference(sr,[status(thm)],[20469,171,theory(equality)])).
% cnf(20547,plain,(sdtpldt0(xm,sdtmndt0(xm,xm))=xm|~aNaturalNumber0(xm)),inference(spm,[status(thm)],[459,20470,theory(equality)])).
% cnf(20557,plain,(sdtpldt0(xm,sdtmndt0(xm,xm))=xm|$false),inference(rw,[status(thm)],[20547,162,theory(equality)])).
% cnf(20558,plain,(sdtpldt0(xm,sdtmndt0(xm,xm))=xm),inference(cn,[status(thm)],[20557,theory(equality)])).
% cnf(20594,plain,(sdtpldt0(xm,sz00)=xm|~aNaturalNumber0(xm)),inference(spm,[status(thm)],[20558,554,theory(equality)])).
% cnf(20655,plain,(sdtpldt0(xm,sz00)=xm|$false),inference(rw,[status(thm)],[20594,162,theory(equality)])).
% cnf(20656,plain,(sdtpldt0(xm,sz00)=xm),inference(cn,[status(thm)],[20655,theory(equality)])).
% cnf(20657,plain,(sdtpldt0(sz00,xm)=xm|~aNaturalNumber0(xm)|~aNaturalNumber0(sz00)),inference(spm,[status(thm)],[49,20656,theory(equality)])).
% cnf(20691,plain,(sdtpldt0(sz00,xm)=xm|$false|~aNaturalNumber0(sz00)),inference(rw,[status(thm)],[20657,162,theory(equality)])).
% cnf(20692,plain,(sdtpldt0(sz00,xm)=xm|$false|$false),inference(rw,[status(thm)],[20691,40,theory(equality)])).
% cnf(20693,plain,(sdtpldt0(sz00,xm)=xm),inference(cn,[status(thm)],[20692,theory(equality)])).
% cnf(20794,plain,(sdtlseqdt0(sz00,xm)|~aNaturalNumber0(xm)|~aNaturalNumber0(sz00)),inference(spm,[status(thm)],[3739,20693,theory(equality)])).
% cnf(20838,plain,(sdtlseqdt0(sz00,xm)|$false|~aNaturalNumber0(sz00)),inference(rw,[status(thm)],[20794,162,theory(equality)])).
% cnf(20839,plain,(sdtlseqdt0(sz00,xm)|$false|$false),inference(rw,[status(thm)],[20838,40,theory(equality)])).
% cnf(20840,plain,(sdtlseqdt0(sz00,xm)),inference(cn,[status(thm)],[20839,theory(equality)])).
% cnf(20934,plain,(aNaturalNumber0(esk1_2(sz00,xm))|~aNaturalNumber0(sz00)|~aNaturalNumber0(xm)),inference(spm,[status(thm)],[99,20840,theory(equality)])).
% cnf(20935,plain,(sdtpldt0(sz00,esk1_2(sz00,xm))=xm|~aNaturalNumber0(sz00)|~aNaturalNumber0(xm)),inference(spm,[status(thm)],[98,20840,theory(equality)])).
% cnf(20957,plain,(aNaturalNumber0(esk1_2(sz00,xm))|$false|~aNaturalNumber0(xm)),inference(rw,[status(thm)],[20934,40,theory(equality)])).
% cnf(20958,plain,(aNaturalNumber0(esk1_2(sz00,xm))|$false|$false),inference(rw,[status(thm)],[20957,162,theory(equality)])).
% cnf(20959,plain,(aNaturalNumber0(esk1_2(sz00,xm))),inference(cn,[status(thm)],[20958,theory(equality)])).
% cnf(20960,plain,(sdtpldt0(sz00,esk1_2(sz00,xm))=xm|$false|~aNaturalNumber0(xm)),inference(rw,[status(thm)],[20935,40,theory(equality)])).
% cnf(20961,plain,(sdtpldt0(sz00,esk1_2(sz00,xm))=xm|$false|$false),inference(rw,[status(thm)],[20960,162,theory(equality)])).
% cnf(20962,plain,(sdtpldt0(sz00,esk1_2(sz00,xm))=xm),inference(cn,[status(thm)],[20961,theory(equality)])).
% cnf(21255,plain,(sdtasdt0(sz00,sz00)=sdtasdt0(sz00,esk2_2(sz00,sz00))|~aNaturalNumber0(esk2_2(sz00,sz00))|~aNaturalNumber0(sz00)),inference(spm,[status(thm)],[608,5240,theory(equality)])).
% cnf(21371,plain,(sdtasdt0(sz00,sz00)=sz00|~aNaturalNumber0(esk2_2(sz00,sz00))|~aNaturalNumber0(sz00)),inference(rw,[status(thm)],[21255,5240,theory(equality)])).
% cnf(21372,plain,(sdtasdt0(sz00,sz00)=sz00|$false|~aNaturalNumber0(sz00)),inference(rw,[status(thm)],[21371,5238,theory(equality)])).
% cnf(21373,plain,(sdtasdt0(sz00,sz00)=sz00|$false|$false),inference(rw,[status(thm)],[21372,40,theory(equality)])).
% cnf(21374,plain,(sdtasdt0(sz00,sz00)=sz00),inference(cn,[status(thm)],[21373,theory(equality)])).
% cnf(24241,plain,(doDivides0(xl,sdtpldt0(xl,sdtpldt0(sdtpldt0(xm,xm),xn)))|~aNaturalNumber0(xm)),inference(spm,[status(thm)],[20041,43,theory(equality)])).
% cnf(24246,plain,(doDivides0(xl,sdtpldt0(xl,sdtpldt0(sdtpldt0(xm,xm),xn)))|$false),inference(rw,[status(thm)],[24241,162,theory(equality)])).
% cnf(24247,plain,(doDivides0(xl,sdtpldt0(xl,sdtpldt0(sdtpldt0(xm,xm),xn)))),inference(cn,[status(thm)],[24246,theory(equality)])).
% cnf(25304,plain,(sz00=sz10|sdtlseqdt0(sdtpldt0(xm,xn),sdtpldt0(xm,xn))|~aNaturalNumber0(sz10)|~aNaturalNumber0(sdtpldt0(xm,xn))),inference(spm,[status(thm)],[314,20377,theory(equality)])).
% cnf(25377,plain,(sz00=sz10|sdtlseqdt0(sdtpldt0(xm,xn),sdtpldt0(xm,xn))|$false|~aNaturalNumber0(sdtpldt0(xm,xn))),inference(rw,[status(thm)],[25304,172,theory(equality)])).
% cnf(25378,plain,(sz00=sz10|sdtlseqdt0(sdtpldt0(xm,xn),sdtpldt0(xm,xn))|$false|$false),inference(rw,[status(thm)],[25377,4869,theory(equality)])).
% cnf(25379,plain,(sz00=sz10|sdtlseqdt0(sdtpldt0(xm,xn),sdtpldt0(xm,xn))),inference(cn,[status(thm)],[25378,theory(equality)])).
% cnf(25380,plain,(sdtlseqdt0(sdtpldt0(xm,xn),sdtpldt0(xm,xn))),inference(sr,[status(thm)],[25379,171,theory(equality)])).
% cnf(25648,plain,(sdtpldt0(sdtpldt0(xm,xn),sdtmndt0(sdtpldt0(xm,xn),sdtpldt0(xm,xn)))=sdtpldt0(xm,xn)|~aNaturalNumber0(sdtpldt0(xm,xn))),inference(spm,[status(thm)],[459,25380,theory(equality)])).
% cnf(25666,plain,(sdtpldt0(sdtpldt0(xm,xn),sdtmndt0(sdtpldt0(xm,xn),sdtpldt0(xm,xn)))=sdtpldt0(xm,xn)|$false),inference(rw,[status(thm)],[25648,4869,theory(equality)])).
% cnf(25667,plain,(sdtpldt0(sdtpldt0(xm,xn),sdtmndt0(sdtpldt0(xm,xn),sdtpldt0(xm,xn)))=sdtpldt0(xm,xn)),inference(cn,[status(thm)],[25666,theory(equality)])).
% cnf(25759,plain,(sdtpldt0(sdtpldt0(xm,xn),sz00)=sdtpldt0(xm,xn)|~aNaturalNumber0(sdtpldt0(xm,xn))),inference(spm,[status(thm)],[25667,554,theory(equality)])).
% cnf(25859,plain,(sdtpldt0(sdtpldt0(xm,xn),sz00)=sdtpldt0(xm,xn)|$false),inference(rw,[status(thm)],[25759,4869,theory(equality)])).
% cnf(25860,plain,(sdtpldt0(sdtpldt0(xm,xn),sz00)=sdtpldt0(xm,xn)),inference(cn,[status(thm)],[25859,theory(equality)])).
% cnf(25908,plain,(sdtpldt0(xm,xn)=sdtpldt0(xn,sdtpldt0(xm,sz00))|~aNaturalNumber0(sz00)|~aNaturalNumber0(xm)|~aNaturalNumber0(xn)),inference(spm,[status(thm)],[571,25860,theory(equality)])).
% cnf(26035,plain,(sdtpldt0(xm,xn)=sdtpldt0(xn,xm)|~aNaturalNumber0(sz00)|~aNaturalNumber0(xm)|~aNaturalNumber0(xn)),inference(rw,[status(thm)],[25908,20656,theory(equality)])).
% cnf(26036,plain,(sdtpldt0(xm,xn)=sdtpldt0(xn,xm)|$false|~aNaturalNumber0(xm)|~aNaturalNumber0(xn)),inference(rw,[status(thm)],[26035,40,theory(equality)])).
% cnf(26037,plain,(sdtpldt0(xm,xn)=sdtpldt0(xn,xm)|$false|$false|~aNaturalNumber0(xn)),inference(rw,[status(thm)],[26036,162,theory(equality)])).
% cnf(26038,plain,(sdtpldt0(xm,xn)=sdtpldt0(xn,xm)|$false|$false|$false),inference(rw,[status(thm)],[26037,161,theory(equality)])).
% cnf(26039,plain,(sdtpldt0(xm,xn)=sdtpldt0(xn,xm)),inference(cn,[status(thm)],[26038,theory(equality)])).
% cnf(26057,plain,(sdtmndt0(sdtpldt0(xn,xm),xm)=xn|~aNaturalNumber0(xn)|~aNaturalNumber0(xm)),inference(spm,[status(thm)],[12334,26039,theory(equality)])).
% cnf(26085,plain,(sdtpldt0(sdtpldt0(xn,xm),sz00)=sdtpldt0(xm,xn)),inference(rw,[status(thm)],[25860,26039,theory(equality)])).
% cnf(26086,plain,(sdtpldt0(sdtpldt0(xn,xm),sz00)=sdtpldt0(xn,xm)),inference(rw,[status(thm)],[26085,26039,theory(equality)])).
% cnf(26183,plain,(sdtmndt0(sdtpldt0(xn,xm),xm)=xn|$false|~aNaturalNumber0(xm)),inference(rw,[status(thm)],[26057,161,theory(equality)])).
% cnf(26184,plain,(sdtmndt0(sdtpldt0(xn,xm),xm)=xn|$false|$false),inference(rw,[status(thm)],[26183,162,theory(equality)])).
% cnf(26185,plain,(sdtmndt0(sdtpldt0(xn,xm),xm)=xn),inference(cn,[status(thm)],[26184,theory(equality)])).
% cnf(26727,plain,(sdtpldt0(xn,xm)=sdtpldt0(xm,sdtpldt0(xn,sz00))|~aNaturalNumber0(sz00)|~aNaturalNumber0(xn)|~aNaturalNumber0(xm)),inference(spm,[status(thm)],[571,26086,theory(equality)])).
% cnf(26855,plain,(sdtpldt0(xn,xm)=sdtpldt0(xm,sdtpldt0(xn,sz00))|$false|~aNaturalNumber0(xn)|~aNaturalNumber0(xm)),inference(rw,[status(thm)],[26727,40,theory(equality)])).
% cnf(26856,plain,(sdtpldt0(xn,xm)=sdtpldt0(xm,sdtpldt0(xn,sz00))|$false|$false|~aNaturalNumber0(xm)),inference(rw,[status(thm)],[26855,161,theory(equality)])).
% cnf(26857,plain,(sdtpldt0(xn,xm)=sdtpldt0(xm,sdtpldt0(xn,sz00))|$false|$false|$false),inference(rw,[status(thm)],[26856,162,theory(equality)])).
% cnf(26858,plain,(sdtpldt0(xn,xm)=sdtpldt0(xm,sdtpldt0(xn,sz00))),inference(cn,[status(thm)],[26857,theory(equality)])).
% cnf(27246,plain,(sdtmndt0(sdtpldt0(xn,xm),xm)=sdtpldt0(xn,sz00)|~aNaturalNumber0(sdtpldt0(xn,sz00))|~aNaturalNumber0(xm)),inference(spm,[status(thm)],[12334,26858,theory(equality)])).
% cnf(27303,plain,(xn=sdtpldt0(xn,sz00)|~aNaturalNumber0(sdtpldt0(xn,sz00))|~aNaturalNumber0(xm)),inference(rw,[status(thm)],[27246,26185,theory(equality)])).
% cnf(27304,plain,(xn=sdtpldt0(xn,sz00)|~aNaturalNumber0(sdtpldt0(xn,sz00))|$false),inference(rw,[status(thm)],[27303,162,theory(equality)])).
% cnf(27305,plain,(xn=sdtpldt0(xn,sz00)|~aNaturalNumber0(sdtpldt0(xn,sz00))),inference(cn,[status(thm)],[27304,theory(equality)])).
% cnf(28333,plain,(sdtpldt0(xn,sz00)=xn|~aNaturalNumber0(sz00)|~aNaturalNumber0(xn)),inference(spm,[status(thm)],[27305,43,theory(equality)])).
% cnf(28340,plain,(sdtpldt0(xn,sz00)=xn|$false|~aNaturalNumber0(xn)),inference(rw,[status(thm)],[28333,40,theory(equality)])).
% cnf(28341,plain,(sdtpldt0(xn,sz00)=xn|$false|$false),inference(rw,[status(thm)],[28340,161,theory(equality)])).
% cnf(28342,plain,(sdtpldt0(xn,sz00)=xn),inference(cn,[status(thm)],[28341,theory(equality)])).
% cnf(28343,plain,(sdtpldt0(sz00,xn)=xn|~aNaturalNumber0(xn)|~aNaturalNumber0(sz00)),inference(spm,[status(thm)],[49,28342,theory(equality)])).
% cnf(28386,plain,(sdtpldt0(sz00,xn)=xn|$false|~aNaturalNumber0(sz00)),inference(rw,[status(thm)],[28343,161,theory(equality)])).
% cnf(28387,plain,(sdtpldt0(sz00,xn)=xn|$false|$false),inference(rw,[status(thm)],[28386,40,theory(equality)])).
% cnf(28388,plain,(sdtpldt0(sz00,xn)=xn),inference(cn,[status(thm)],[28387,theory(equality)])).
% cnf(28765,plain,(sdtpldt0(sdtasdt0(sz00,sz00),sz00)=sdtasdt0(sz00,xm)|~aNaturalNumber0(sz00)|~aNaturalNumber0(esk1_2(sz00,xm))),inference(spm,[status(thm)],[651,20962,theory(equality)])).
% cnf(28993,plain,(sz00=sdtasdt0(sz00,xm)|~aNaturalNumber0(sz00)|~aNaturalNumber0(esk1_2(sz00,xm))),inference(rw,[status(thm)],[inference(rw,[status(thm)],[28765,21374,theory(equality)]),10899,theory(equality)])).
% cnf(28994,plain,(sz00=sdtasdt0(sz00,xm)|$false|~aNaturalNumber0(esk1_2(sz00,xm))),inference(rw,[status(thm)],[28993,40,theory(equality)])).
% cnf(28995,plain,(sz00=sdtasdt0(sz00,xm)|$false|$false),inference(rw,[status(thm)],[28994,20959,theory(equality)])).
% cnf(28996,plain,(sz00=sdtasdt0(sz00,xm)),inference(cn,[status(thm)],[28995,theory(equality)])).
% cnf(105354,negated_conjecture,(xl=sz00|aNaturalNumber0(sdtmndt0(esk4_0,esk3_0))|~aNaturalNumber0(esk3_0)),inference(csr,[status(thm)],[3596,7179])).
% cnf(105355,negated_conjecture,(xl=sz00|aNaturalNumber0(sdtmndt0(esk4_0,esk3_0))),inference(csr,[status(thm)],[105354,1283])).
% cnf(105356,negated_conjecture,(xl=sz00|aNaturalNumber0(esk5_0)),inference(spm,[status(thm)],[105355,192,theory(equality)])).
% cnf(105357,negated_conjecture,(xl=sz00),inference(csr,[status(thm)],[105356,4321])).
% cnf(105869,plain,(doDivides0(sz00,sdtpldt0(sz00,sdtpldt0(sdtpldt0(xm,xm),xn)))),inference(rw,[status(thm)],[inference(rw,[status(thm)],[24247,105357,theory(equality)]),105357,theory(equality)])).
% cnf(106062,plain,(doDivides0(sz00,xm)),inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[11540,105357,theory(equality)]),105357,theory(equality)]),20693,theory(equality)])).
% cnf(106417,negated_conjecture,(~doDivides0(sz00,xn)),inference(rw,[status(thm)],[189,105357,theory(equality)])).
% cnf(106428,plain,(aNaturalNumber0(esk2_2(sz00,xm))|~aNaturalNumber0(sz00)|~aNaturalNumber0(xm)),inference(spm,[status(thm)],[146,106062,theory(equality)])).
% cnf(106429,plain,(sdtasdt0(sz00,esk2_2(sz00,xm))=xm|~aNaturalNumber0(sz00)|~aNaturalNumber0(xm)),inference(spm,[status(thm)],[145,106062,theory(equality)])).
% cnf(106432,plain,(aNaturalNumber0(esk2_2(sz00,xm))|$false|~aNaturalNumber0(xm)),inference(rw,[status(thm)],[106428,40,theory(equality)])).
% cnf(106433,plain,(aNaturalNumber0(esk2_2(sz00,xm))|$false|$false),inference(rw,[status(thm)],[106432,162,theory(equality)])).
% cnf(106434,plain,(aNaturalNumber0(esk2_2(sz00,xm))),inference(cn,[status(thm)],[106433,theory(equality)])).
% cnf(106435,plain,(sdtasdt0(sz00,esk2_2(sz00,xm))=xm|$false|~aNaturalNumber0(xm)),inference(rw,[status(thm)],[106429,40,theory(equality)])).
% cnf(106436,plain,(sdtasdt0(sz00,esk2_2(sz00,xm))=xm|$false|$false),inference(rw,[status(thm)],[106435,162,theory(equality)])).
% cnf(106437,plain,(sdtasdt0(sz00,esk2_2(sz00,xm))=xm),inference(cn,[status(thm)],[106436,theory(equality)])).
% cnf(106693,plain,(doDivides0(sz00,sdtpldt0(sdtpldt0(xm,xm),xn))|~aNaturalNumber0(xn)|~aNaturalNumber0(sdtpldt0(xm,xm))),inference(spm,[status(thm)],[105869,576,theory(equality)])).
% cnf(106720,plain,(doDivides0(sz00,sdtpldt0(sdtpldt0(xm,xm),xn))|$false|~aNaturalNumber0(sdtpldt0(xm,xm))),inference(rw,[status(thm)],[106693,161,theory(equality)])).
% cnf(106721,plain,(doDivides0(sz00,sdtpldt0(sdtpldt0(xm,xm),xn))|~aNaturalNumber0(sdtpldt0(xm,xm))),inference(cn,[status(thm)],[106720,theory(equality)])).
% cnf(107709,plain,(sdtasdt0(sz00,xm)=sdtasdt0(sz00,esk2_2(sz00,xm))|~aNaturalNumber0(esk2_2(sz00,xm))|~aNaturalNumber0(sz00)),inference(spm,[status(thm)],[608,106437,theory(equality)])).
% cnf(107824,plain,(sz00=sdtasdt0(sz00,esk2_2(sz00,xm))|~aNaturalNumber0(esk2_2(sz00,xm))|~aNaturalNumber0(sz00)),inference(rw,[status(thm)],[107709,28996,theory(equality)])).
% cnf(107825,plain,(sz00=xm|~aNaturalNumber0(esk2_2(sz00,xm))|~aNaturalNumber0(sz00)),inference(rw,[status(thm)],[107824,106437,theory(equality)])).
% cnf(107826,plain,(sz00=xm|~aNaturalNumber0(esk2_2(sz00,xm))|$false),inference(rw,[status(thm)],[107825,40,theory(equality)])).
% cnf(107827,plain,(sz00=xm|~aNaturalNumber0(esk2_2(sz00,xm))),inference(cn,[status(thm)],[107826,theory(equality)])).
% cnf(108247,plain,(doDivides0(sz00,sdtpldt0(sdtpldt0(xm,xm),xn))|~aNaturalNumber0(xm)),inference(spm,[status(thm)],[106721,43,theory(equality)])).
% cnf(108252,plain,(doDivides0(sz00,sdtpldt0(sdtpldt0(xm,xm),xn))|$false),inference(rw,[status(thm)],[108247,162,theory(equality)])).
% cnf(108253,plain,(doDivides0(sz00,sdtpldt0(sdtpldt0(xm,xm),xn))),inference(cn,[status(thm)],[108252,theory(equality)])).
% cnf(126780,plain,(xm=sz00|$false),inference(rw,[status(thm)],[107827,106434,theory(equality)])).
% cnf(126781,plain,(xm=sz00),inference(cn,[status(thm)],[126780,theory(equality)])).
% cnf(126865,plain,(doDivides0(sz00,xn)),inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[108253,126781,theory(equality)]),126781,theory(equality)]),10899,theory(equality)]),28388,theory(equality)])).
% cnf(126866,plain,($false),inference(sr,[status(thm)],[126865,106417,theory(equality)])).
% cnf(126867,plain,($false),126866,['proof']).
% # SZS output end CNFRefutation
% # Processed clauses : 4680
% # ...of these trivial : 197
% # ...subsumed : 2828
% # ...remaining for further processing: 1655
% # Other redundant clauses eliminated : 44
% # Clauses deleted for lack of memory : 0
% # Backward-subsumed : 398
% # Backward-rewritten : 939
% # Generated clauses : 45804
% # ...of the previous two non-trivial : 42148
% # Contextual simplify-reflections : 2495
% # Paramodulations : 45702
% # Factorizations : 3
% # Equation resolutions : 99
% # Current number of processed clauses: 317
% # Positive orientable unit clauses: 53
% # Positive unorientable unit clauses: 0
% # Negative unit clauses : 2
% # Non-unit-clauses : 262
% # Current number of unprocessed clauses: 11861
% # ...number of literals in the above : 65990
% # Clause-clause subsumption calls (NU) : 41212
% # Rec. Clause-clause subsumption calls : 19521
% # Unit Clause-clause subsumption calls : 820
% # Rewrite failures with RHS unbound : 0
% # Indexed BW rewrite attempts : 568
% # Indexed BW rewrite successes : 66
% # Backwards rewriting index: 257 leaves, 1.50+/-1.484 terms/leaf
% # Paramod-from index: 191 leaves, 1.18+/-0.434 terms/leaf
% # Paramod-into index: 225 leaves, 1.47+/-1.398 terms/leaf
% # -------------------------------------------------
% # User time : 2.102 s
% # System time : 0.085 s
% # Total time : 2.187 s
% # Maximum resident set size: 0 pages
% PrfWatch: 4.21 CPU 4.37 WC
% FINAL PrfWatch: 4.21 CPU 4.37 WC
% SZS output end Solution for /tmp/SystemOnTPTP27836/NUM476+1.tptp
%
%------------------------------------------------------------------------------