TSTP Solution File: NUM527+1 by SRASS---0.1
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- Process Solution
%------------------------------------------------------------------------------
% File : SRASS---0.1
% Problem : NUM527+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 19:54:59 EST 2010
% Result : Theorem 5.84s
% Output : Solution 5.84s
% 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/SystemOnTPTP16919/NUM527+1.tptp
% Adding relevance values
% Extracting the conjecture
% Sorting axioms by relevance
% Looking for THM ...
% found
% SZS status THM for /tmp/SystemOnTPTP16919/NUM527+1.tptp
% SZS output start Solution for /tmp/SystemOnTPTP16919/NUM527+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 17018
% TreeLimitedRun: ----------------------------------------------------------
% PrfWatch: 0.00 CPU 0.02 WC
% PrfWatch: 1.92 CPU 2.03 WC
% # Preprocessing time : 0.021 s
% # Problem is unsatisfiable (or provable), constructing proof object
% # SZS status Theorem
% PrfWatch: 3.92 CPU 4.04 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(sdtasdt0(X1,X2))),file('/tmp/SRASS.s.p', mSortsB_02)).
% fof(3, axiom,![X1]:![X2]:((aNaturalNumber0(X1)&aNaturalNumber0(X2))=>sdtasdt0(X1,X2)=sdtasdt0(X2,X1)),file('/tmp/SRASS.s.p', mMulComm)).
% fof(4, 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(5, axiom,![X1]:(aNaturalNumber0(X1)=>(sdtasdt0(X1,sz00)=sz00&sz00=sdtasdt0(sz00,X1))),file('/tmp/SRASS.s.p', m_MulZero)).
% fof(6, axiom,![X1]:(aNaturalNumber0(X1)=>(~(X1=sz00)=>![X2]:![X3]:((aNaturalNumber0(X2)&aNaturalNumber0(X3))=>((sdtasdt0(X1,X2)=sdtasdt0(X1,X3)|sdtasdt0(X2,X1)=sdtasdt0(X3,X1))=>X2=X3)))),file('/tmp/SRASS.s.p', mMulCanc)).
% fof(7, axiom,![X1]:![X2]:((aNaturalNumber0(X1)&aNaturalNumber0(X2))=>(sdtasdt0(X1,X2)=sz00=>(X1=sz00|X2=sz00))),file('/tmp/SRASS.s.p', mZeroMul)).
% fof(8, axiom,![X1]:(aNaturalNumber0(X1)=>sdtlseqdt0(X1,X1)),file('/tmp/SRASS.s.p', mLERefl)).
% fof(9, axiom,![X1]:![X2]:((aNaturalNumber0(X1)&aNaturalNumber0(X2))=>((sdtlseqdt0(X1,X2)&sdtlseqdt0(X2,X1))=>X1=X2)),file('/tmp/SRASS.s.p', mLEAsym)).
% fof(10, axiom,![X1]:![X2]:![X3]:(((aNaturalNumber0(X1)&aNaturalNumber0(X2))&aNaturalNumber0(X3))=>((sdtlseqdt0(X1,X2)&sdtlseqdt0(X2,X3))=>sdtlseqdt0(X1,X3))),file('/tmp/SRASS.s.p', mLETran)).
% fof(12, axiom,![X1]:![X2]:![X3]:(((aNaturalNumber0(X1)&aNaturalNumber0(X2))&aNaturalNumber0(X3))=>(((~(X1=sz00)&~(X2=X3))&sdtlseqdt0(X2,X3))=>(((~(sdtasdt0(X1,X2)=sdtasdt0(X1,X3))&sdtlseqdt0(sdtasdt0(X1,X2),sdtasdt0(X1,X3)))&~(sdtasdt0(X2,X1)=sdtasdt0(X3,X1)))&sdtlseqdt0(sdtasdt0(X2,X1),sdtasdt0(X3,X1))))),file('/tmp/SRASS.s.p', mMonMul)).
% fof(13, axiom,![X1]:![X2]:((aNaturalNumber0(X1)&aNaturalNumber0(X2))=>(~(X1=sz00)=>sdtlseqdt0(X2,sdtasdt0(X2,X1)))),file('/tmp/SRASS.s.p', mMonMul2)).
% fof(15, axiom,![X1]:![X2]:((aNaturalNumber0(X1)&aNaturalNumber0(X2))=>(doDivides0(X1,X2)<=>?[X3]:(aNaturalNumber0(X3)&X2=sdtasdt0(X1,X3)))),file('/tmp/SRASS.s.p', mDefDiv)).
% fof(16, axiom,![X1]:![X2]:((aNaturalNumber0(X1)&aNaturalNumber0(X2))=>((~(X1=sz00)&doDivides0(X1,X2))=>![X3]:(X3=sdtsldt0(X2,X1)<=>(aNaturalNumber0(X3)&X2=sdtasdt0(X1,X3))))),file('/tmp/SRASS.s.p', mDefQuot)).
% fof(18, axiom,![X1]:![X2]:((aNaturalNumber0(X1)&aNaturalNumber0(X2))=>((doDivides0(X1,X2)&~(X2=sz00))=>sdtlseqdt0(X1,X2))),file('/tmp/SRASS.s.p', mDivLE)).
% fof(19, 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(21, axiom,(((((aNaturalNumber0(xn)&aNaturalNumber0(xm))&aNaturalNumber0(xp))&~(xn=sz00))&~(xm=sz00))&~(xp=sz00)),file('/tmp/SRASS.s.p', m__2987)).
% fof(23, axiom,sdtasdt0(xp,sdtasdt0(xm,xm))=sdtasdt0(xn,xn),file('/tmp/SRASS.s.p', m__3014)).
% fof(25, axiom,(doDivides0(xp,sdtasdt0(xn,xn))&doDivides0(xp,xn)),file('/tmp/SRASS.s.p', m__3046)).
% fof(26, axiom,xq=sdtsldt0(xn,xp),file('/tmp/SRASS.s.p', m__3059)).
% fof(27, axiom,sdtasdt0(xm,xm)=sdtasdt0(xp,sdtasdt0(xq,xq)),file('/tmp/SRASS.s.p', m__3082)).
% fof(31, axiom,![X1]:![X2]:((aNaturalNumber0(X1)&aNaturalNumber0(X2))=>(sdtlseqdt0(X1,X2)<=>?[X3]:(aNaturalNumber0(X3)&sdtpldt0(X1,X3)=X2))),file('/tmp/SRASS.s.p', mDefLE)).
% fof(33, 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(34, axiom,![X1]:(aNaturalNumber0(X1)=>(sdtpldt0(X1,sz00)=X1&X1=sdtpldt0(sz00,X1))),file('/tmp/SRASS.s.p', m_AddZero)).
% fof(35, axiom,![X1]:![X2]:((aNaturalNumber0(X1)&aNaturalNumber0(X2))=>(sdtpldt0(X1,X2)=sz00=>(X1=sz00&X2=sz00))),file('/tmp/SRASS.s.p', mZeroAdd)).
% fof(36, 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(37, 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(38, axiom,(aNaturalNumber0(sz10)&~(sz10=sz00)),file('/tmp/SRASS.s.p', mSortsC_01)).
% fof(39, axiom,![X1]:(aNaturalNumber0(X1)=>(sdtasdt0(X1,sz10)=X1&X1=sdtasdt0(sz10,X1))),file('/tmp/SRASS.s.p', m_MulUnit)).
% fof(41, axiom,![X1]:![X2]:((aNaturalNumber0(X1)&aNaturalNumber0(X2))=>aNaturalNumber0(sdtpldt0(X1,X2))),file('/tmp/SRASS.s.p', mSortsB)).
% fof(42, axiom,![X1]:![X2]:((aNaturalNumber0(X1)&aNaturalNumber0(X2))=>sdtpldt0(X1,X2)=sdtpldt0(X2,X1)),file('/tmp/SRASS.s.p', mAddComm)).
% fof(44, 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(46, 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(47, conjecture,(sdtlseqdt0(xn,xm)=>sdtlseqdt0(sdtasdt0(xn,xn),sdtasdt0(xm,xm))),file('/tmp/SRASS.s.p', m__)).
% fof(48, negated_conjecture,~((sdtlseqdt0(xn,xm)=>sdtlseqdt0(sdtasdt0(xn,xn),sdtasdt0(xm,xm)))),inference(assume_negation,[status(cth)],[47])).
% cnf(52,plain,(aNaturalNumber0(sz00)),inference(split_conjunct,[status(thm)],[1])).
% 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)))|sdtasdt0(X1,X2)=sdtasdt0(X2,X1)),inference(fof_nnf,[status(thm)],[3])).
% fof(57, plain,![X3]:![X4]:((~(aNaturalNumber0(X3))|~(aNaturalNumber0(X4)))|sdtasdt0(X3,X4)=sdtasdt0(X4,X3)),inference(variable_rename,[status(thm)],[56])).
% cnf(58,plain,(sdtasdt0(X1,X2)=sdtasdt0(X2,X1)|~aNaturalNumber0(X2)|~aNaturalNumber0(X1)),inference(split_conjunct,[status(thm)],[57])).
% fof(59, 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)],[4])).
% fof(60, 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)],[59])).
% cnf(61,plain,(sdtasdt0(sdtasdt0(X1,X2),X3)=sdtasdt0(X1,sdtasdt0(X2,X3))|~aNaturalNumber0(X3)|~aNaturalNumber0(X2)|~aNaturalNumber0(X1)),inference(split_conjunct,[status(thm)],[60])).
% fof(62, plain,![X1]:(~(aNaturalNumber0(X1))|(sdtasdt0(X1,sz00)=sz00&sz00=sdtasdt0(sz00,X1))),inference(fof_nnf,[status(thm)],[5])).
% fof(63, plain,![X2]:(~(aNaturalNumber0(X2))|(sdtasdt0(X2,sz00)=sz00&sz00=sdtasdt0(sz00,X2))),inference(variable_rename,[status(thm)],[62])).
% fof(64, plain,![X2]:((sdtasdt0(X2,sz00)=sz00|~(aNaturalNumber0(X2)))&(sz00=sdtasdt0(sz00,X2)|~(aNaturalNumber0(X2)))),inference(distribute,[status(thm)],[63])).
% cnf(65,plain,(sz00=sdtasdt0(sz00,X1)|~aNaturalNumber0(X1)),inference(split_conjunct,[status(thm)],[64])).
% cnf(66,plain,(sdtasdt0(X1,sz00)=sz00|~aNaturalNumber0(X1)),inference(split_conjunct,[status(thm)],[64])).
% fof(67, plain,![X1]:(~(aNaturalNumber0(X1))|(X1=sz00|![X2]:![X3]:((~(aNaturalNumber0(X2))|~(aNaturalNumber0(X3)))|((~(sdtasdt0(X1,X2)=sdtasdt0(X1,X3))&~(sdtasdt0(X2,X1)=sdtasdt0(X3,X1)))|X2=X3)))),inference(fof_nnf,[status(thm)],[6])).
% fof(68, plain,![X4]:(~(aNaturalNumber0(X4))|(X4=sz00|![X5]:![X6]:((~(aNaturalNumber0(X5))|~(aNaturalNumber0(X6)))|((~(sdtasdt0(X4,X5)=sdtasdt0(X4,X6))&~(sdtasdt0(X5,X4)=sdtasdt0(X6,X4)))|X5=X6)))),inference(variable_rename,[status(thm)],[67])).
% fof(69, plain,![X4]:![X5]:![X6]:((((~(aNaturalNumber0(X5))|~(aNaturalNumber0(X6)))|((~(sdtasdt0(X4,X5)=sdtasdt0(X4,X6))&~(sdtasdt0(X5,X4)=sdtasdt0(X6,X4)))|X5=X6))|X4=sz00)|~(aNaturalNumber0(X4))),inference(shift_quantors,[status(thm)],[68])).
% fof(70, plain,![X4]:![X5]:![X6]:(((((~(sdtasdt0(X4,X5)=sdtasdt0(X4,X6))|X5=X6)|(~(aNaturalNumber0(X5))|~(aNaturalNumber0(X6))))|X4=sz00)|~(aNaturalNumber0(X4)))&((((~(sdtasdt0(X5,X4)=sdtasdt0(X6,X4))|X5=X6)|(~(aNaturalNumber0(X5))|~(aNaturalNumber0(X6))))|X4=sz00)|~(aNaturalNumber0(X4)))),inference(distribute,[status(thm)],[69])).
% cnf(71,plain,(X1=sz00|X3=X2|~aNaturalNumber0(X1)|~aNaturalNumber0(X2)|~aNaturalNumber0(X3)|sdtasdt0(X3,X1)!=sdtasdt0(X2,X1)),inference(split_conjunct,[status(thm)],[70])).
% cnf(72,plain,(X1=sz00|X3=X2|~aNaturalNumber0(X1)|~aNaturalNumber0(X2)|~aNaturalNumber0(X3)|sdtasdt0(X1,X3)!=sdtasdt0(X1,X2)),inference(split_conjunct,[status(thm)],[70])).
% fof(73, plain,![X1]:![X2]:((~(aNaturalNumber0(X1))|~(aNaturalNumber0(X2)))|(~(sdtasdt0(X1,X2)=sz00)|(X1=sz00|X2=sz00))),inference(fof_nnf,[status(thm)],[7])).
% fof(74, plain,![X3]:![X4]:((~(aNaturalNumber0(X3))|~(aNaturalNumber0(X4)))|(~(sdtasdt0(X3,X4)=sz00)|(X3=sz00|X4=sz00))),inference(variable_rename,[status(thm)],[73])).
% cnf(75,plain,(X1=sz00|X2=sz00|sdtasdt0(X2,X1)!=sz00|~aNaturalNumber0(X1)|~aNaturalNumber0(X2)),inference(split_conjunct,[status(thm)],[74])).
% fof(76, plain,![X1]:(~(aNaturalNumber0(X1))|sdtlseqdt0(X1,X1)),inference(fof_nnf,[status(thm)],[8])).
% fof(77, plain,![X2]:(~(aNaturalNumber0(X2))|sdtlseqdt0(X2,X2)),inference(variable_rename,[status(thm)],[76])).
% cnf(78,plain,(sdtlseqdt0(X1,X1)|~aNaturalNumber0(X1)),inference(split_conjunct,[status(thm)],[77])).
% fof(79, plain,![X1]:![X2]:((~(aNaturalNumber0(X1))|~(aNaturalNumber0(X2)))|((~(sdtlseqdt0(X1,X2))|~(sdtlseqdt0(X2,X1)))|X1=X2)),inference(fof_nnf,[status(thm)],[9])).
% fof(80, plain,![X3]:![X4]:((~(aNaturalNumber0(X3))|~(aNaturalNumber0(X4)))|((~(sdtlseqdt0(X3,X4))|~(sdtlseqdt0(X4,X3)))|X3=X4)),inference(variable_rename,[status(thm)],[79])).
% cnf(81,plain,(X1=X2|~sdtlseqdt0(X2,X1)|~sdtlseqdt0(X1,X2)|~aNaturalNumber0(X2)|~aNaturalNumber0(X1)),inference(split_conjunct,[status(thm)],[80])).
% fof(82, plain,![X1]:![X2]:![X3]:(((~(aNaturalNumber0(X1))|~(aNaturalNumber0(X2)))|~(aNaturalNumber0(X3)))|((~(sdtlseqdt0(X1,X2))|~(sdtlseqdt0(X2,X3)))|sdtlseqdt0(X1,X3))),inference(fof_nnf,[status(thm)],[10])).
% fof(83, plain,![X4]:![X5]:![X6]:(((~(aNaturalNumber0(X4))|~(aNaturalNumber0(X5)))|~(aNaturalNumber0(X6)))|((~(sdtlseqdt0(X4,X5))|~(sdtlseqdt0(X5,X6)))|sdtlseqdt0(X4,X6))),inference(variable_rename,[status(thm)],[82])).
% cnf(84,plain,(sdtlseqdt0(X1,X2)|~sdtlseqdt0(X3,X2)|~sdtlseqdt0(X1,X3)|~aNaturalNumber0(X2)|~aNaturalNumber0(X3)|~aNaturalNumber0(X1)),inference(split_conjunct,[status(thm)],[83])).
% fof(90, plain,![X1]:![X2]:![X3]:(((~(aNaturalNumber0(X1))|~(aNaturalNumber0(X2)))|~(aNaturalNumber0(X3)))|(((X1=sz00|X2=X3)|~(sdtlseqdt0(X2,X3)))|(((~(sdtasdt0(X1,X2)=sdtasdt0(X1,X3))&sdtlseqdt0(sdtasdt0(X1,X2),sdtasdt0(X1,X3)))&~(sdtasdt0(X2,X1)=sdtasdt0(X3,X1)))&sdtlseqdt0(sdtasdt0(X2,X1),sdtasdt0(X3,X1))))),inference(fof_nnf,[status(thm)],[12])).
% fof(91, plain,![X4]:![X5]:![X6]:(((~(aNaturalNumber0(X4))|~(aNaturalNumber0(X5)))|~(aNaturalNumber0(X6)))|(((X4=sz00|X5=X6)|~(sdtlseqdt0(X5,X6)))|(((~(sdtasdt0(X4,X5)=sdtasdt0(X4,X6))&sdtlseqdt0(sdtasdt0(X4,X5),sdtasdt0(X4,X6)))&~(sdtasdt0(X5,X4)=sdtasdt0(X6,X4)))&sdtlseqdt0(sdtasdt0(X5,X4),sdtasdt0(X6,X4))))),inference(variable_rename,[status(thm)],[90])).
% fof(92, plain,![X4]:![X5]:![X6]:(((((~(sdtasdt0(X4,X5)=sdtasdt0(X4,X6))|((X4=sz00|X5=X6)|~(sdtlseqdt0(X5,X6))))|((~(aNaturalNumber0(X4))|~(aNaturalNumber0(X5)))|~(aNaturalNumber0(X6))))&((sdtlseqdt0(sdtasdt0(X4,X5),sdtasdt0(X4,X6))|((X4=sz00|X5=X6)|~(sdtlseqdt0(X5,X6))))|((~(aNaturalNumber0(X4))|~(aNaturalNumber0(X5)))|~(aNaturalNumber0(X6)))))&((~(sdtasdt0(X5,X4)=sdtasdt0(X6,X4))|((X4=sz00|X5=X6)|~(sdtlseqdt0(X5,X6))))|((~(aNaturalNumber0(X4))|~(aNaturalNumber0(X5)))|~(aNaturalNumber0(X6)))))&((sdtlseqdt0(sdtasdt0(X5,X4),sdtasdt0(X6,X4))|((X4=sz00|X5=X6)|~(sdtlseqdt0(X5,X6))))|((~(aNaturalNumber0(X4))|~(aNaturalNumber0(X5)))|~(aNaturalNumber0(X6))))),inference(distribute,[status(thm)],[91])).
% cnf(95,plain,(X2=X1|X3=sz00|sdtlseqdt0(sdtasdt0(X3,X2),sdtasdt0(X3,X1))|~aNaturalNumber0(X1)|~aNaturalNumber0(X2)|~aNaturalNumber0(X3)|~sdtlseqdt0(X2,X1)),inference(split_conjunct,[status(thm)],[92])).
% fof(97, plain,![X1]:![X2]:((~(aNaturalNumber0(X1))|~(aNaturalNumber0(X2)))|(X1=sz00|sdtlseqdt0(X2,sdtasdt0(X2,X1)))),inference(fof_nnf,[status(thm)],[13])).
% fof(98, plain,![X3]:![X4]:((~(aNaturalNumber0(X3))|~(aNaturalNumber0(X4)))|(X3=sz00|sdtlseqdt0(X4,sdtasdt0(X4,X3)))),inference(variable_rename,[status(thm)],[97])).
% cnf(99,plain,(sdtlseqdt0(X1,sdtasdt0(X1,X2))|X2=sz00|~aNaturalNumber0(X1)|~aNaturalNumber0(X2)),inference(split_conjunct,[status(thm)],[98])).
% fof(103, plain,![X1]:![X2]:((~(aNaturalNumber0(X1))|~(aNaturalNumber0(X2)))|((~(doDivides0(X1,X2))|?[X3]:(aNaturalNumber0(X3)&X2=sdtasdt0(X1,X3)))&(![X3]:(~(aNaturalNumber0(X3))|~(X2=sdtasdt0(X1,X3)))|doDivides0(X1,X2)))),inference(fof_nnf,[status(thm)],[15])).
% fof(104, 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)],[103])).
% fof(105, plain,![X4]:![X5]:((~(aNaturalNumber0(X4))|~(aNaturalNumber0(X5)))|((~(doDivides0(X4,X5))|(aNaturalNumber0(esk1_2(X4,X5))&X5=sdtasdt0(X4,esk1_2(X4,X5))))&(![X7]:(~(aNaturalNumber0(X7))|~(X5=sdtasdt0(X4,X7)))|doDivides0(X4,X5)))),inference(skolemize,[status(esa)],[104])).
% fof(106, plain,![X4]:![X5]:![X7]:((((~(aNaturalNumber0(X7))|~(X5=sdtasdt0(X4,X7)))|doDivides0(X4,X5))&(~(doDivides0(X4,X5))|(aNaturalNumber0(esk1_2(X4,X5))&X5=sdtasdt0(X4,esk1_2(X4,X5)))))|(~(aNaturalNumber0(X4))|~(aNaturalNumber0(X5)))),inference(shift_quantors,[status(thm)],[105])).
% fof(107, plain,![X4]:![X5]:![X7]:((((~(aNaturalNumber0(X7))|~(X5=sdtasdt0(X4,X7)))|doDivides0(X4,X5))|(~(aNaturalNumber0(X4))|~(aNaturalNumber0(X5))))&(((aNaturalNumber0(esk1_2(X4,X5))|~(doDivides0(X4,X5)))|(~(aNaturalNumber0(X4))|~(aNaturalNumber0(X5))))&((X5=sdtasdt0(X4,esk1_2(X4,X5))|~(doDivides0(X4,X5)))|(~(aNaturalNumber0(X4))|~(aNaturalNumber0(X5)))))),inference(distribute,[status(thm)],[106])).
% cnf(108,plain,(X1=sdtasdt0(X2,esk1_2(X2,X1))|~aNaturalNumber0(X1)|~aNaturalNumber0(X2)|~doDivides0(X2,X1)),inference(split_conjunct,[status(thm)],[107])).
% cnf(109,plain,(aNaturalNumber0(esk1_2(X2,X1))|~aNaturalNumber0(X1)|~aNaturalNumber0(X2)|~doDivides0(X2,X1)),inference(split_conjunct,[status(thm)],[107])).
% cnf(110,plain,(doDivides0(X2,X1)|~aNaturalNumber0(X1)|~aNaturalNumber0(X2)|X1!=sdtasdt0(X2,X3)|~aNaturalNumber0(X3)),inference(split_conjunct,[status(thm)],[107])).
% fof(111, plain,![X1]:![X2]:((~(aNaturalNumber0(X1))|~(aNaturalNumber0(X2)))|((X1=sz00|~(doDivides0(X1,X2)))|![X3]:((~(X3=sdtsldt0(X2,X1))|(aNaturalNumber0(X3)&X2=sdtasdt0(X1,X3)))&((~(aNaturalNumber0(X3))|~(X2=sdtasdt0(X1,X3)))|X3=sdtsldt0(X2,X1))))),inference(fof_nnf,[status(thm)],[16])).
% fof(112, 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)],[111])).
% fof(113, 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)],[112])).
% fof(114, 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)],[113])).
% cnf(115,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)],[114])).
% cnf(116,plain,(X2=sz00|X1=sdtasdt0(X2,X3)|~aNaturalNumber0(X1)|~aNaturalNumber0(X2)|~doDivides0(X2,X1)|X3!=sdtsldt0(X1,X2)),inference(split_conjunct,[status(thm)],[114])).
% cnf(117,plain,(X2=sz00|aNaturalNumber0(X3)|~aNaturalNumber0(X1)|~aNaturalNumber0(X2)|~doDivides0(X2,X1)|X3!=sdtsldt0(X1,X2)),inference(split_conjunct,[status(thm)],[114])).
% fof(121, plain,![X1]:![X2]:((~(aNaturalNumber0(X1))|~(aNaturalNumber0(X2)))|((~(doDivides0(X1,X2))|X2=sz00)|sdtlseqdt0(X1,X2))),inference(fof_nnf,[status(thm)],[18])).
% fof(122, plain,![X3]:![X4]:((~(aNaturalNumber0(X3))|~(aNaturalNumber0(X4)))|((~(doDivides0(X3,X4))|X4=sz00)|sdtlseqdt0(X3,X4))),inference(variable_rename,[status(thm)],[121])).
% cnf(123,plain,(sdtlseqdt0(X1,X2)|X2=sz00|~doDivides0(X1,X2)|~aNaturalNumber0(X2)|~aNaturalNumber0(X1)),inference(split_conjunct,[status(thm)],[122])).
% fof(124, 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)],[19])).
% fof(125, 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)],[124])).
% fof(126, 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)],[125])).
% cnf(127,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)],[126])).
% cnf(131,plain,(xp!=sz00),inference(split_conjunct,[status(thm)],[21])).
% cnf(132,plain,(xm!=sz00),inference(split_conjunct,[status(thm)],[21])).
% cnf(133,plain,(xn!=sz00),inference(split_conjunct,[status(thm)],[21])).
% cnf(134,plain,(aNaturalNumber0(xp)),inference(split_conjunct,[status(thm)],[21])).
% cnf(135,plain,(aNaturalNumber0(xm)),inference(split_conjunct,[status(thm)],[21])).
% cnf(136,plain,(aNaturalNumber0(xn)),inference(split_conjunct,[status(thm)],[21])).
% cnf(140,plain,(sdtasdt0(xp,sdtasdt0(xm,xm))=sdtasdt0(xn,xn)),inference(split_conjunct,[status(thm)],[23])).
% cnf(142,plain,(doDivides0(xp,xn)),inference(split_conjunct,[status(thm)],[25])).
% cnf(144,plain,(xq=sdtsldt0(xn,xp)),inference(split_conjunct,[status(thm)],[26])).
% cnf(145,plain,(sdtasdt0(xm,xm)=sdtasdt0(xp,sdtasdt0(xq,xq))),inference(split_conjunct,[status(thm)],[27])).
% fof(170, 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)],[31])).
% fof(171, 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)],[170])).
% fof(172, plain,![X4]:![X5]:((~(aNaturalNumber0(X4))|~(aNaturalNumber0(X5)))|((~(sdtlseqdt0(X4,X5))|(aNaturalNumber0(esk4_2(X4,X5))&sdtpldt0(X4,esk4_2(X4,X5))=X5))&(![X7]:(~(aNaturalNumber0(X7))|~(sdtpldt0(X4,X7)=X5))|sdtlseqdt0(X4,X5)))),inference(skolemize,[status(esa)],[171])).
% fof(173, plain,![X4]:![X5]:![X7]:((((~(aNaturalNumber0(X7))|~(sdtpldt0(X4,X7)=X5))|sdtlseqdt0(X4,X5))&(~(sdtlseqdt0(X4,X5))|(aNaturalNumber0(esk4_2(X4,X5))&sdtpldt0(X4,esk4_2(X4,X5))=X5)))|(~(aNaturalNumber0(X4))|~(aNaturalNumber0(X5)))),inference(shift_quantors,[status(thm)],[172])).
% fof(174, plain,![X4]:![X5]:![X7]:((((~(aNaturalNumber0(X7))|~(sdtpldt0(X4,X7)=X5))|sdtlseqdt0(X4,X5))|(~(aNaturalNumber0(X4))|~(aNaturalNumber0(X5))))&(((aNaturalNumber0(esk4_2(X4,X5))|~(sdtlseqdt0(X4,X5)))|(~(aNaturalNumber0(X4))|~(aNaturalNumber0(X5))))&((sdtpldt0(X4,esk4_2(X4,X5))=X5|~(sdtlseqdt0(X4,X5)))|(~(aNaturalNumber0(X4))|~(aNaturalNumber0(X5)))))),inference(distribute,[status(thm)],[173])).
% cnf(175,plain,(sdtpldt0(X2,esk4_2(X2,X1))=X1|~aNaturalNumber0(X1)|~aNaturalNumber0(X2)|~sdtlseqdt0(X2,X1)),inference(split_conjunct,[status(thm)],[174])).
% cnf(176,plain,(aNaturalNumber0(esk4_2(X2,X1))|~aNaturalNumber0(X1)|~aNaturalNumber0(X2)|~sdtlseqdt0(X2,X1)),inference(split_conjunct,[status(thm)],[174])).
% cnf(177,plain,(sdtlseqdt0(X2,X1)|~aNaturalNumber0(X1)|~aNaturalNumber0(X2)|sdtpldt0(X2,X3)!=X1|~aNaturalNumber0(X3)),inference(split_conjunct,[status(thm)],[174])).
% fof(186, 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)],[33])).
% fof(187, 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)],[186])).
% fof(188, 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)],[187])).
% cnf(189,plain,(sdtasdt0(sdtpldt0(X2,X1),X3)=sdtpldt0(sdtasdt0(X2,X3),sdtasdt0(X1,X3))|~aNaturalNumber0(X1)|~aNaturalNumber0(X2)|~aNaturalNumber0(X3)),inference(split_conjunct,[status(thm)],[188])).
% cnf(190,plain,(sdtasdt0(X3,sdtpldt0(X2,X1))=sdtpldt0(sdtasdt0(X3,X2),sdtasdt0(X3,X1))|~aNaturalNumber0(X1)|~aNaturalNumber0(X2)|~aNaturalNumber0(X3)),inference(split_conjunct,[status(thm)],[188])).
% fof(191, plain,![X1]:(~(aNaturalNumber0(X1))|(sdtpldt0(X1,sz00)=X1&X1=sdtpldt0(sz00,X1))),inference(fof_nnf,[status(thm)],[34])).
% fof(192, plain,![X2]:(~(aNaturalNumber0(X2))|(sdtpldt0(X2,sz00)=X2&X2=sdtpldt0(sz00,X2))),inference(variable_rename,[status(thm)],[191])).
% fof(193, plain,![X2]:((sdtpldt0(X2,sz00)=X2|~(aNaturalNumber0(X2)))&(X2=sdtpldt0(sz00,X2)|~(aNaturalNumber0(X2)))),inference(distribute,[status(thm)],[192])).
% cnf(194,plain,(X1=sdtpldt0(sz00,X1)|~aNaturalNumber0(X1)),inference(split_conjunct,[status(thm)],[193])).
% cnf(195,plain,(sdtpldt0(X1,sz00)=X1|~aNaturalNumber0(X1)),inference(split_conjunct,[status(thm)],[193])).
% fof(196, plain,![X1]:![X2]:((~(aNaturalNumber0(X1))|~(aNaturalNumber0(X2)))|(~(sdtpldt0(X1,X2)=sz00)|(X1=sz00&X2=sz00))),inference(fof_nnf,[status(thm)],[35])).
% fof(197, plain,![X3]:![X4]:((~(aNaturalNumber0(X3))|~(aNaturalNumber0(X4)))|(~(sdtpldt0(X3,X4)=sz00)|(X3=sz00&X4=sz00))),inference(variable_rename,[status(thm)],[196])).
% fof(198, 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)],[197])).
% cnf(200,plain,(X2=sz00|~aNaturalNumber0(X1)|~aNaturalNumber0(X2)|sdtpldt0(X2,X1)!=sz00),inference(split_conjunct,[status(thm)],[198])).
% fof(201, 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)],[36])).
% fof(202, 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)],[201])).
% cnf(203,plain,(doDivides0(X1,sdtpldt0(X2,X3))|~doDivides0(X1,X3)|~doDivides0(X1,X2)|~aNaturalNumber0(X3)|~aNaturalNumber0(X2)|~aNaturalNumber0(X1)),inference(split_conjunct,[status(thm)],[202])).
% fof(204, 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)],[37])).
% fof(205, 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)],[204])).
% cnf(206,plain,(doDivides0(X1,X2)|~doDivides0(X1,sdtpldt0(X3,X2))|~doDivides0(X1,X3)|~aNaturalNumber0(X2)|~aNaturalNumber0(X3)|~aNaturalNumber0(X1)),inference(split_conjunct,[status(thm)],[205])).
% cnf(207,plain,(sz10!=sz00),inference(split_conjunct,[status(thm)],[38])).
% cnf(208,plain,(aNaturalNumber0(sz10)),inference(split_conjunct,[status(thm)],[38])).
% fof(209, plain,![X1]:(~(aNaturalNumber0(X1))|(sdtasdt0(X1,sz10)=X1&X1=sdtasdt0(sz10,X1))),inference(fof_nnf,[status(thm)],[39])).
% fof(210, plain,![X2]:(~(aNaturalNumber0(X2))|(sdtasdt0(X2,sz10)=X2&X2=sdtasdt0(sz10,X2))),inference(variable_rename,[status(thm)],[209])).
% fof(211, plain,![X2]:((sdtasdt0(X2,sz10)=X2|~(aNaturalNumber0(X2)))&(X2=sdtasdt0(sz10,X2)|~(aNaturalNumber0(X2)))),inference(distribute,[status(thm)],[210])).
% cnf(212,plain,(X1=sdtasdt0(sz10,X1)|~aNaturalNumber0(X1)),inference(split_conjunct,[status(thm)],[211])).
% cnf(213,plain,(sdtasdt0(X1,sz10)=X1|~aNaturalNumber0(X1)),inference(split_conjunct,[status(thm)],[211])).
% fof(216, plain,![X1]:![X2]:((~(aNaturalNumber0(X1))|~(aNaturalNumber0(X2)))|aNaturalNumber0(sdtpldt0(X1,X2))),inference(fof_nnf,[status(thm)],[41])).
% fof(217, plain,![X3]:![X4]:((~(aNaturalNumber0(X3))|~(aNaturalNumber0(X4)))|aNaturalNumber0(sdtpldt0(X3,X4))),inference(variable_rename,[status(thm)],[216])).
% cnf(218,plain,(aNaturalNumber0(sdtpldt0(X1,X2))|~aNaturalNumber0(X2)|~aNaturalNumber0(X1)),inference(split_conjunct,[status(thm)],[217])).
% fof(219, plain,![X1]:![X2]:((~(aNaturalNumber0(X1))|~(aNaturalNumber0(X2)))|sdtpldt0(X1,X2)=sdtpldt0(X2,X1)),inference(fof_nnf,[status(thm)],[42])).
% fof(220, plain,![X3]:![X4]:((~(aNaturalNumber0(X3))|~(aNaturalNumber0(X4)))|sdtpldt0(X3,X4)=sdtpldt0(X4,X3)),inference(variable_rename,[status(thm)],[219])).
% cnf(221,plain,(sdtpldt0(X1,X2)=sdtpldt0(X2,X1)|~aNaturalNumber0(X2)|~aNaturalNumber0(X1)),inference(split_conjunct,[status(thm)],[220])).
% fof(225, 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)],[44])).
% fof(226, 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)],[225])).
% fof(227, 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)],[226])).
% cnf(228,plain,(X2=X1|~aNaturalNumber0(X1)|~aNaturalNumber0(X2)|~aNaturalNumber0(X3)|sdtpldt0(X2,X3)!=sdtpldt0(X1,X3)),inference(split_conjunct,[status(thm)],[227])).
% cnf(229,plain,(X2=X1|~aNaturalNumber0(X1)|~aNaturalNumber0(X2)|~aNaturalNumber0(X3)|sdtpldt0(X3,X2)!=sdtpldt0(X3,X1)),inference(split_conjunct,[status(thm)],[227])).
% fof(232, 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)],[46])).
% fof(233, 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)],[232])).
% fof(234, 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)],[233])).
% fof(235, 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)],[234])).
% cnf(236,plain,(X3=sdtmndt0(X1,X2)|~aNaturalNumber0(X1)|~aNaturalNumber0(X2)|~sdtlseqdt0(X2,X1)|sdtpldt0(X2,X3)!=X1|~aNaturalNumber0(X3)),inference(split_conjunct,[status(thm)],[235])).
% cnf(237,plain,(sdtpldt0(X2,X3)=X1|~aNaturalNumber0(X1)|~aNaturalNumber0(X2)|~sdtlseqdt0(X2,X1)|X3!=sdtmndt0(X1,X2)),inference(split_conjunct,[status(thm)],[235])).
% cnf(238,plain,(aNaturalNumber0(X3)|~aNaturalNumber0(X1)|~aNaturalNumber0(X2)|~sdtlseqdt0(X2,X1)|X3!=sdtmndt0(X1,X2)),inference(split_conjunct,[status(thm)],[235])).
% fof(239, negated_conjecture,(sdtlseqdt0(xn,xm)&~(sdtlseqdt0(sdtasdt0(xn,xn),sdtasdt0(xm,xm)))),inference(fof_nnf,[status(thm)],[48])).
% cnf(240,negated_conjecture,(~sdtlseqdt0(sdtasdt0(xn,xn),sdtasdt0(xm,xm))),inference(split_conjunct,[status(thm)],[239])).
% cnf(241,negated_conjecture,(sdtlseqdt0(xn,xm)),inference(split_conjunct,[status(thm)],[239])).
% cnf(245,plain,(sdtmndt0(X1,X2)=X3|sdtpldt0(X2,X3)!=X1|~aNaturalNumber0(X3)|~aNaturalNumber0(X2)|~aNaturalNumber0(X1)),inference(csr,[status(thm)],[236,177])).
% cnf(248,plain,(sdtsldt0(X1,X2)=X3|sz00=X2|sdtasdt0(X2,X3)!=X1|~aNaturalNumber0(X3)|~aNaturalNumber0(X2)|~aNaturalNumber0(X1)),inference(csr,[status(thm)],[115,110])).
% cnf(257,plain,(aNaturalNumber0(sdtasdt0(xm,xm))|~aNaturalNumber0(sdtasdt0(xq,xq))|~aNaturalNumber0(xp)),inference(spm,[status(thm)],[55,145,theory(equality)])).
% cnf(258,plain,(aNaturalNumber0(sdtasdt0(xn,xn))|~aNaturalNumber0(sdtasdt0(xm,xm))|~aNaturalNumber0(xp)),inference(spm,[status(thm)],[55,140,theory(equality)])).
% cnf(264,plain,(aNaturalNumber0(sdtasdt0(xm,xm))|~aNaturalNumber0(sdtasdt0(xq,xq))|$false),inference(rw,[status(thm)],[257,134,theory(equality)])).
% cnf(265,plain,(aNaturalNumber0(sdtasdt0(xm,xm))|~aNaturalNumber0(sdtasdt0(xq,xq))),inference(cn,[status(thm)],[264,theory(equality)])).
% cnf(266,plain,(aNaturalNumber0(sdtasdt0(xn,xn))|~aNaturalNumber0(sdtasdt0(xm,xm))|$false),inference(rw,[status(thm)],[258,134,theory(equality)])).
% cnf(267,plain,(aNaturalNumber0(sdtasdt0(xn,xn))|~aNaturalNumber0(sdtasdt0(xm,xm))),inference(cn,[status(thm)],[266,theory(equality)])).
% cnf(336,plain,(sz00=X1|sdtlseqdt0(sz10,X1)|~aNaturalNumber0(X1)|~aNaturalNumber0(sz10)),inference(spm,[status(thm)],[99,212,theory(equality)])).
% cnf(341,plain,(sz00=X1|sdtlseqdt0(X2,sdtasdt0(X1,X2))|~aNaturalNumber0(X1)|~aNaturalNumber0(X2)),inference(spm,[status(thm)],[99,58,theory(equality)])).
% cnf(343,plain,(sz00=X1|sdtlseqdt0(sz10,X1)|~aNaturalNumber0(X1)|$false),inference(rw,[status(thm)],[336,208,theory(equality)])).
% cnf(344,plain,(sz00=X1|sdtlseqdt0(sz10,X1)|~aNaturalNumber0(X1)),inference(cn,[status(thm)],[343,theory(equality)])).
% cnf(430,plain,(aNaturalNumber0(esk4_2(X1,sdtasdt0(X1,X2)))|sz00=X2|~aNaturalNumber0(X1)|~aNaturalNumber0(sdtasdt0(X1,X2))|~aNaturalNumber0(X2)),inference(spm,[status(thm)],[176,99,theory(equality)])).
% cnf(440,plain,(sz00=xn|sdtlseqdt0(xp,xn)|~aNaturalNumber0(xn)|~aNaturalNumber0(xp)),inference(spm,[status(thm)],[123,142,theory(equality)])).
% cnf(442,plain,(sz00=xn|sdtlseqdt0(xp,xn)|$false|~aNaturalNumber0(xp)),inference(rw,[status(thm)],[440,136,theory(equality)])).
% cnf(443,plain,(sz00=xn|sdtlseqdt0(xp,xn)|$false|$false),inference(rw,[status(thm)],[442,134,theory(equality)])).
% cnf(444,plain,(sz00=xn|sdtlseqdt0(xp,xn)),inference(cn,[status(thm)],[443,theory(equality)])).
% cnf(445,plain,(sdtlseqdt0(xp,xn)),inference(sr,[status(thm)],[444,133,theory(equality)])).
% cnf(449,negated_conjecture,(sdtlseqdt0(X1,xm)|~sdtlseqdt0(X1,xn)|~aNaturalNumber0(xn)|~aNaturalNumber0(xm)|~aNaturalNumber0(X1)),inference(spm,[status(thm)],[84,241,theory(equality)])).
% cnf(450,plain,(sdtlseqdt0(X1,sdtasdt0(X2,X3))|sz00=X3|~sdtlseqdt0(X1,X2)|~aNaturalNumber0(X2)|~aNaturalNumber0(sdtasdt0(X2,X3))|~aNaturalNumber0(X1)|~aNaturalNumber0(X3)),inference(spm,[status(thm)],[84,99,theory(equality)])).
% cnf(456,negated_conjecture,(sdtlseqdt0(X1,xm)|~sdtlseqdt0(X1,xn)|$false|~aNaturalNumber0(xm)|~aNaturalNumber0(X1)),inference(rw,[status(thm)],[449,136,theory(equality)])).
% cnf(457,negated_conjecture,(sdtlseqdt0(X1,xm)|~sdtlseqdt0(X1,xn)|$false|$false|~aNaturalNumber0(X1)),inference(rw,[status(thm)],[456,135,theory(equality)])).
% cnf(458,negated_conjecture,(sdtlseqdt0(X1,xm)|~sdtlseqdt0(X1,xn)|~aNaturalNumber0(X1)),inference(cn,[status(thm)],[457,theory(equality)])).
% cnf(459,plain,(sdtasdt0(X1,sdtasdt0(X2,sz10))=sdtasdt0(X1,X2)|~aNaturalNumber0(sdtasdt0(X1,X2))|~aNaturalNumber0(sz10)|~aNaturalNumber0(X2)|~aNaturalNumber0(X1)),inference(spm,[status(thm)],[213,61,theory(equality)])).
% cnf(460,plain,(sdtasdt0(X1,sdtasdt0(X2,sz00))=sz00|~aNaturalNumber0(sdtasdt0(X1,X2))|~aNaturalNumber0(sz00)|~aNaturalNumber0(X2)|~aNaturalNumber0(X1)),inference(spm,[status(thm)],[66,61,theory(equality)])).
% cnf(461,plain,(sdtasdt0(X1,sdtasdt0(X2,X3))=sdtasdt0(X2,sdtasdt0(X3,X1))|~aNaturalNumber0(sdtasdt0(X2,X3))|~aNaturalNumber0(X1)|~aNaturalNumber0(X3)|~aNaturalNumber0(X2)),inference(spm,[status(thm)],[58,61,theory(equality)])).
% cnf(462,plain,(sz00=X1|sdtlseqdt0(sdtasdt0(X2,X3),sdtasdt0(X2,sdtasdt0(X3,X1)))|~aNaturalNumber0(X1)|~aNaturalNumber0(sdtasdt0(X2,X3))|~aNaturalNumber0(X3)|~aNaturalNumber0(X2)),inference(spm,[status(thm)],[99,61,theory(equality)])).
% cnf(463,plain,(sz00=sdtasdt0(X1,X2)|sz00=X3|sdtasdt0(X1,sdtasdt0(X2,X3))!=sz00|~aNaturalNumber0(sdtasdt0(X1,X2))|~aNaturalNumber0(X3)|~aNaturalNumber0(X2)|~aNaturalNumber0(X1)),inference(spm,[status(thm)],[75,61,theory(equality)])).
% cnf(467,plain,(sdtasdt0(X1,X2)=sdtasdt0(sz10,sdtasdt0(X1,X2))|~aNaturalNumber0(X2)|~aNaturalNumber0(X1)|~aNaturalNumber0(sz10)),inference(spm,[status(thm)],[61,212,theory(equality)])).
% cnf(469,plain,(sdtasdt0(sdtasdt0(xn,xn),X1)=sdtasdt0(xp,sdtasdt0(sdtasdt0(xm,xm),X1))|~aNaturalNumber0(X1)|~aNaturalNumber0(sdtasdt0(xm,xm))|~aNaturalNumber0(xp)),inference(spm,[status(thm)],[61,140,theory(equality)])).
% cnf(470,plain,(sdtasdt0(sz00,X2)=sdtasdt0(sz00,sdtasdt0(X1,X2))|~aNaturalNumber0(X2)|~aNaturalNumber0(X1)|~aNaturalNumber0(sz00)),inference(spm,[status(thm)],[61,65,theory(equality)])).
% cnf(473,plain,(sdtasdt0(sdtasdt0(X2,X1),X3)=sdtasdt0(X1,sdtasdt0(X2,X3))|~aNaturalNumber0(X3)|~aNaturalNumber0(X2)|~aNaturalNumber0(X1)),inference(spm,[status(thm)],[61,58,theory(equality)])).
% cnf(475,plain,(sdtasdt0(X1,sdtasdt0(X2,sz10))=sdtasdt0(X1,X2)|~aNaturalNumber0(sdtasdt0(X1,X2))|$false|~aNaturalNumber0(X2)|~aNaturalNumber0(X1)),inference(rw,[status(thm)],[459,208,theory(equality)])).
% cnf(476,plain,(sdtasdt0(X1,sdtasdt0(X2,sz10))=sdtasdt0(X1,X2)|~aNaturalNumber0(sdtasdt0(X1,X2))|~aNaturalNumber0(X2)|~aNaturalNumber0(X1)),inference(cn,[status(thm)],[475,theory(equality)])).
% cnf(477,plain,(sdtasdt0(X1,sdtasdt0(X2,sz00))=sz00|~aNaturalNumber0(sdtasdt0(X1,X2))|$false|~aNaturalNumber0(X2)|~aNaturalNumber0(X1)),inference(rw,[status(thm)],[460,52,theory(equality)])).
% cnf(478,plain,(sdtasdt0(X1,sdtasdt0(X2,sz00))=sz00|~aNaturalNumber0(sdtasdt0(X1,X2))|~aNaturalNumber0(X2)|~aNaturalNumber0(X1)),inference(cn,[status(thm)],[477,theory(equality)])).
% cnf(479,plain,(sdtasdt0(X1,X2)=sdtasdt0(sz10,sdtasdt0(X1,X2))|~aNaturalNumber0(X2)|~aNaturalNumber0(X1)|$false),inference(rw,[status(thm)],[467,208,theory(equality)])).
% cnf(480,plain,(sdtasdt0(X1,X2)=sdtasdt0(sz10,sdtasdt0(X1,X2))|~aNaturalNumber0(X2)|~aNaturalNumber0(X1)),inference(cn,[status(thm)],[479,theory(equality)])).
% cnf(483,plain,(sdtasdt0(sdtasdt0(xn,xn),X1)=sdtasdt0(xp,sdtasdt0(sdtasdt0(xm,xm),X1))|~aNaturalNumber0(X1)|~aNaturalNumber0(sdtasdt0(xm,xm))|$false),inference(rw,[status(thm)],[469,134,theory(equality)])).
% cnf(484,plain,(sdtasdt0(sdtasdt0(xn,xn),X1)=sdtasdt0(xp,sdtasdt0(sdtasdt0(xm,xm),X1))|~aNaturalNumber0(X1)|~aNaturalNumber0(sdtasdt0(xm,xm))),inference(cn,[status(thm)],[483,theory(equality)])).
% cnf(485,plain,(sdtasdt0(sz00,X2)=sdtasdt0(sz00,sdtasdt0(X1,X2))|~aNaturalNumber0(X2)|~aNaturalNumber0(X1)|$false),inference(rw,[status(thm)],[470,52,theory(equality)])).
% cnf(486,plain,(sdtasdt0(sz00,X2)=sdtasdt0(sz00,sdtasdt0(X1,X2))|~aNaturalNumber0(X2)|~aNaturalNumber0(X1)),inference(cn,[status(thm)],[485,theory(equality)])).
% cnf(505,plain,(sdtpldt0(X1,esk4_2(X1,X1))=X1|~aNaturalNumber0(X1)),inference(spm,[status(thm)],[175,78,theory(equality)])).
% cnf(514,plain,(sdtlseqdt0(sz00,X1)|X2!=X1|~aNaturalNumber0(X2)|~aNaturalNumber0(sz00)|~aNaturalNumber0(X1)),inference(spm,[status(thm)],[177,194,theory(equality)])).
% cnf(516,plain,(sdtlseqdt0(X1,X2)|sdtpldt0(X3,X1)!=X2|~aNaturalNumber0(X3)|~aNaturalNumber0(X1)|~aNaturalNumber0(X2)),inference(spm,[status(thm)],[177,221,theory(equality)])).
% cnf(518,plain,(sdtlseqdt0(sz00,X1)|X2!=X1|~aNaturalNumber0(X2)|$false|~aNaturalNumber0(X1)),inference(rw,[status(thm)],[514,52,theory(equality)])).
% cnf(519,plain,(sdtlseqdt0(sz00,X1)|X2!=X1|~aNaturalNumber0(X2)|~aNaturalNumber0(X1)),inference(cn,[status(thm)],[518,theory(equality)])).
% cnf(520,plain,(sdtlseqdt0(sz00,X1)|~aNaturalNumber0(X1)),inference(er,[status(thm)],[519,theory(equality)])).
% cnf(530,plain,(doDivides0(X1,X2)|X1!=X2|~aNaturalNumber0(sz10)|~aNaturalNumber0(X1)|~aNaturalNumber0(X2)),inference(spm,[status(thm)],[110,213,theory(equality)])).
% cnf(532,plain,(doDivides0(X1,X2)|sdtasdt0(X3,X1)!=X2|~aNaturalNumber0(X3)|~aNaturalNumber0(X1)|~aNaturalNumber0(X2)),inference(spm,[status(thm)],[110,58,theory(equality)])).
% cnf(543,plain,(doDivides0(X1,X2)|X1!=X2|$false|~aNaturalNumber0(X1)|~aNaturalNumber0(X2)),inference(rw,[status(thm)],[530,208,theory(equality)])).
% cnf(544,plain,(doDivides0(X1,X2)|X1!=X2|~aNaturalNumber0(X1)|~aNaturalNumber0(X2)),inference(cn,[status(thm)],[543,theory(equality)])).
% cnf(545,plain,(doDivides0(X1,X1)|~aNaturalNumber0(X1)),inference(er,[status(thm)],[544,theory(equality)])).
% cnf(548,plain,(aNaturalNumber0(sdtmndt0(X1,X2))|~sdtlseqdt0(X2,X1)|~aNaturalNumber0(X2)|~aNaturalNumber0(X1)),inference(er,[status(thm)],[238,theory(equality)])).
% cnf(553,plain,(sz00=X1|X2=sdtasdt0(X3,X4)|sdtasdt0(X2,X1)!=sdtasdt0(X3,sdtasdt0(X4,X1))|~aNaturalNumber0(sdtasdt0(X3,X4))|~aNaturalNumber0(X2)|~aNaturalNumber0(X1)|~aNaturalNumber0(X4)|~aNaturalNumber0(X3)),inference(spm,[status(thm)],[71,61,theory(equality)])).
% cnf(593,plain,(sz00=X1|X2=sz10|sdtasdt0(X1,X2)!=X1|~aNaturalNumber0(sz10)|~aNaturalNumber0(X2)|~aNaturalNumber0(X1)),inference(spm,[status(thm)],[72,213,theory(equality)])).
% cnf(614,plain,(sz00=X1|X2=sz10|sdtasdt0(X1,X2)!=X1|$false|~aNaturalNumber0(X2)|~aNaturalNumber0(X1)),inference(rw,[status(thm)],[593,208,theory(equality)])).
% cnf(615,plain,(sz00=X1|X2=sz10|sdtasdt0(X1,X2)!=X1|~aNaturalNumber0(X2)|~aNaturalNumber0(X1)),inference(cn,[status(thm)],[614,theory(equality)])).
% cnf(649,plain,(sdtpldt0(X1,sdtmndt0(X2,X1))=X2|~sdtlseqdt0(X1,X2)|~aNaturalNumber0(X1)|~aNaturalNumber0(X2)),inference(er,[status(thm)],[237,theory(equality)])).
% cnf(652,plain,(X1=sz00|sdtpldt0(X2,X1)!=X2|~aNaturalNumber0(X2)|~aNaturalNumber0(sz00)|~aNaturalNumber0(X1)),inference(spm,[status(thm)],[229,195,theory(equality)])).
% cnf(661,plain,(X1=sz00|sdtpldt0(X2,X1)!=X2|~aNaturalNumber0(X2)|$false|~aNaturalNumber0(X1)),inference(rw,[status(thm)],[652,52,theory(equality)])).
% cnf(662,plain,(X1=sz00|sdtpldt0(X2,X1)!=X2|~aNaturalNumber0(X2)|~aNaturalNumber0(X1)),inference(cn,[status(thm)],[661,theory(equality)])).
% cnf(684,plain,(sz00=X1|aNaturalNumber0(sdtsldt0(X2,X1))|~doDivides0(X1,X2)|~aNaturalNumber0(X1)|~aNaturalNumber0(X2)),inference(er,[status(thm)],[117,theory(equality)])).
% cnf(685,plain,(sz00=xp|aNaturalNumber0(X1)|xq!=X1|~doDivides0(xp,xn)|~aNaturalNumber0(xp)|~aNaturalNumber0(xn)),inference(spm,[status(thm)],[117,144,theory(equality)])).
% cnf(686,plain,(sz00=xp|aNaturalNumber0(X1)|xq!=X1|$false|~aNaturalNumber0(xp)|~aNaturalNumber0(xn)),inference(rw,[status(thm)],[685,142,theory(equality)])).
% cnf(687,plain,(sz00=xp|aNaturalNumber0(X1)|xq!=X1|$false|$false|~aNaturalNumber0(xn)),inference(rw,[status(thm)],[686,134,theory(equality)])).
% cnf(688,plain,(sz00=xp|aNaturalNumber0(X1)|xq!=X1|$false|$false|$false),inference(rw,[status(thm)],[687,136,theory(equality)])).
% cnf(689,plain,(sz00=xp|aNaturalNumber0(X1)|xq!=X1),inference(cn,[status(thm)],[688,theory(equality)])).
% cnf(690,plain,(aNaturalNumber0(X1)|xq!=X1),inference(sr,[status(thm)],[689,131,theory(equality)])).
% cnf(695,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)],[218,190,theory(equality)])).
% cnf(706,plain,(sdtpldt0(sdtasdt0(X1,X2),X1)=sdtasdt0(X1,sdtpldt0(X2,sz10))|~aNaturalNumber0(X1)|~aNaturalNumber0(X2)|~aNaturalNumber0(sz10)),inference(spm,[status(thm)],[190,213,theory(equality)])).
% cnf(715,plain,(sdtpldt0(X1,sdtasdt0(X1,X2))=sdtasdt0(X1,sdtpldt0(sz10,X2))|~aNaturalNumber0(X1)|~aNaturalNumber0(sz10)|~aNaturalNumber0(X2)),inference(spm,[status(thm)],[190,213,theory(equality)])).
% cnf(727,plain,(sdtpldt0(sdtasdt0(X1,X2),X1)=sdtasdt0(X1,sdtpldt0(X2,sz10))|~aNaturalNumber0(X1)|~aNaturalNumber0(X2)|$false),inference(rw,[status(thm)],[706,208,theory(equality)])).
% cnf(728,plain,(sdtpldt0(sdtasdt0(X1,X2),X1)=sdtasdt0(X1,sdtpldt0(X2,sz10))|~aNaturalNumber0(X1)|~aNaturalNumber0(X2)),inference(cn,[status(thm)],[727,theory(equality)])).
% cnf(739,plain,(sdtpldt0(X1,sdtasdt0(X1,X2))=sdtasdt0(X1,sdtpldt0(sz10,X2))|~aNaturalNumber0(X1)|$false|~aNaturalNumber0(X2)),inference(rw,[status(thm)],[715,208,theory(equality)])).
% cnf(740,plain,(sdtpldt0(X1,sdtasdt0(X1,X2))=sdtasdt0(X1,sdtpldt0(sz10,X2))|~aNaturalNumber0(X1)|~aNaturalNumber0(X2)),inference(cn,[status(thm)],[739,theory(equality)])).
% cnf(744,negated_conjecture,(sz00=X1|xm=xn|sdtlseqdt0(sdtasdt0(X1,xn),sdtasdt0(X1,xm))|~aNaturalNumber0(X1)|~aNaturalNumber0(xn)|~aNaturalNumber0(xm)),inference(spm,[status(thm)],[95,241,theory(equality)])).
% cnf(750,negated_conjecture,(sz00=X1|xm=xn|sdtlseqdt0(sdtasdt0(X1,xn),sdtasdt0(X1,xm))|~aNaturalNumber0(X1)|$false|~aNaturalNumber0(xm)),inference(rw,[status(thm)],[744,136,theory(equality)])).
% cnf(751,negated_conjecture,(sz00=X1|xm=xn|sdtlseqdt0(sdtasdt0(X1,xn),sdtasdt0(X1,xm))|~aNaturalNumber0(X1)|$false|$false),inference(rw,[status(thm)],[750,135,theory(equality)])).
% cnf(752,negated_conjecture,(sz00=X1|xm=xn|sdtlseqdt0(sdtasdt0(X1,xn),sdtasdt0(X1,xm))|~aNaturalNumber0(X1)),inference(cn,[status(thm)],[751,theory(equality)])).
% cnf(766,plain,(sdtsldt0(X1,xp)=sdtasdt0(xm,xm)|sz00=xp|sdtasdt0(xn,xn)!=X1|~aNaturalNumber0(sdtasdt0(xm,xm))|~aNaturalNumber0(xp)|~aNaturalNumber0(X1)),inference(spm,[status(thm)],[248,140,theory(equality)])).
% cnf(779,plain,(sdtsldt0(X1,xp)=sdtasdt0(xm,xm)|sz00=xp|sdtasdt0(xn,xn)!=X1|~aNaturalNumber0(sdtasdt0(xm,xm))|$false|~aNaturalNumber0(X1)),inference(rw,[status(thm)],[766,134,theory(equality)])).
% cnf(780,plain,(sdtsldt0(X1,xp)=sdtasdt0(xm,xm)|sz00=xp|sdtasdt0(xn,xn)!=X1|~aNaturalNumber0(sdtasdt0(xm,xm))|~aNaturalNumber0(X1)),inference(cn,[status(thm)],[779,theory(equality)])).
% cnf(781,plain,(sdtsldt0(X1,xp)=sdtasdt0(xm,xm)|sdtasdt0(xn,xn)!=X1|~aNaturalNumber0(sdtasdt0(xm,xm))|~aNaturalNumber0(X1)),inference(sr,[status(thm)],[780,131,theory(equality)])).
% cnf(799,plain,(sdtasdt0(X1,sdtsldt0(X2,X1))=X2|sz00=X1|~doDivides0(X1,X2)|~aNaturalNumber0(X1)|~aNaturalNumber0(X2)),inference(er,[status(thm)],[116,theory(equality)])).
% cnf(800,plain,(sdtasdt0(xp,X1)=xn|sz00=xp|xq!=X1|~doDivides0(xp,xn)|~aNaturalNumber0(xp)|~aNaturalNumber0(xn)),inference(spm,[status(thm)],[116,144,theory(equality)])).
% cnf(801,plain,(sdtasdt0(xp,X1)=xn|sz00=xp|xq!=X1|$false|~aNaturalNumber0(xp)|~aNaturalNumber0(xn)),inference(rw,[status(thm)],[800,142,theory(equality)])).
% cnf(802,plain,(sdtasdt0(xp,X1)=xn|sz00=xp|xq!=X1|$false|$false|~aNaturalNumber0(xn)),inference(rw,[status(thm)],[801,134,theory(equality)])).
% cnf(803,plain,(sdtasdt0(xp,X1)=xn|sz00=xp|xq!=X1|$false|$false|$false),inference(rw,[status(thm)],[802,136,theory(equality)])).
% cnf(804,plain,(sdtasdt0(xp,X1)=xn|sz00=xp|xq!=X1),inference(cn,[status(thm)],[803,theory(equality)])).
% cnf(805,plain,(sdtasdt0(xp,X1)=xn|xq!=X1),inference(sr,[status(thm)],[804,131,theory(equality)])).
% cnf(833,plain,(sdtpldt0(sz00,sdtasdt0(X2,sz00))=sdtasdt0(sdtpldt0(X1,X2),sz00)|~aNaturalNumber0(sz00)|~aNaturalNumber0(X1)|~aNaturalNumber0(X2)),inference(spm,[status(thm)],[189,66,theory(equality)])).
% cnf(858,plain,(sdtpldt0(sz00,sdtasdt0(X2,sz00))=sdtasdt0(sdtpldt0(X1,X2),sz00)|$false|~aNaturalNumber0(X1)|~aNaturalNumber0(X2)),inference(rw,[status(thm)],[833,52,theory(equality)])).
% cnf(859,plain,(sdtpldt0(sz00,sdtasdt0(X2,sz00))=sdtasdt0(sdtpldt0(X1,X2),sz00)|~aNaturalNumber0(X1)|~aNaturalNumber0(X2)),inference(cn,[status(thm)],[858,theory(equality)])).
% cnf(907,plain,(doDivides0(xp,sdtpldt0(X1,xn))|~doDivides0(xp,X1)|~aNaturalNumber0(xn)|~aNaturalNumber0(X1)|~aNaturalNumber0(xp)),inference(spm,[status(thm)],[203,142,theory(equality)])).
% cnf(909,plain,(doDivides0(xp,sdtpldt0(X1,xn))|~doDivides0(xp,X1)|$false|~aNaturalNumber0(X1)|~aNaturalNumber0(xp)),inference(rw,[status(thm)],[907,136,theory(equality)])).
% cnf(910,plain,(doDivides0(xp,sdtpldt0(X1,xn))|~doDivides0(xp,X1)|$false|~aNaturalNumber0(X1)|$false),inference(rw,[status(thm)],[909,134,theory(equality)])).
% cnf(911,plain,(doDivides0(xp,sdtpldt0(X1,xn))|~doDivides0(xp,X1)|~aNaturalNumber0(X1)),inference(cn,[status(thm)],[910,theory(equality)])).
% cnf(958,plain,(sdtsldt0(sdtasdt0(X1,xn),xp)=sdtasdt0(X1,sdtsldt0(xn,xp))|sz00=xp|~aNaturalNumber0(X1)|~aNaturalNumber0(xp)|~aNaturalNumber0(xn)),inference(spm,[status(thm)],[127,142,theory(equality)])).
% cnf(960,plain,(sdtsldt0(sdtasdt0(X1,xn),xp)=sdtasdt0(X1,xq)|sz00=xp|~aNaturalNumber0(X1)|~aNaturalNumber0(xp)|~aNaturalNumber0(xn)),inference(rw,[status(thm)],[958,144,theory(equality)])).
% cnf(961,plain,(sdtsldt0(sdtasdt0(X1,xn),xp)=sdtasdt0(X1,xq)|sz00=xp|~aNaturalNumber0(X1)|$false|~aNaturalNumber0(xn)),inference(rw,[status(thm)],[960,134,theory(equality)])).
% cnf(962,plain,(sdtsldt0(sdtasdt0(X1,xn),xp)=sdtasdt0(X1,xq)|sz00=xp|~aNaturalNumber0(X1)|$false|$false),inference(rw,[status(thm)],[961,136,theory(equality)])).
% cnf(963,plain,(sdtsldt0(sdtasdt0(X1,xn),xp)=sdtasdt0(X1,xq)|sz00=xp|~aNaturalNumber0(X1)),inference(cn,[status(thm)],[962,theory(equality)])).
% cnf(964,plain,(sdtsldt0(sdtasdt0(X1,xn),xp)=sdtasdt0(X1,xq)|~aNaturalNumber0(X1)),inference(sr,[status(thm)],[963,131,theory(equality)])).
% cnf(974,plain,(sdtlseqdt0(X1,xn)|~sdtlseqdt0(X1,xp)|~aNaturalNumber0(xp)|~aNaturalNumber0(xn)|~aNaturalNumber0(X1)),inference(spm,[status(thm)],[84,445,theory(equality)])).
% cnf(995,plain,(sdtlseqdt0(X1,xn)|~sdtlseqdt0(X1,xp)|$false|~aNaturalNumber0(xn)|~aNaturalNumber0(X1)),inference(rw,[status(thm)],[974,134,theory(equality)])).
% cnf(996,plain,(sdtlseqdt0(X1,xn)|~sdtlseqdt0(X1,xp)|$false|$false|~aNaturalNumber0(X1)),inference(rw,[status(thm)],[995,136,theory(equality)])).
% cnf(997,plain,(sdtlseqdt0(X1,xn)|~sdtlseqdt0(X1,xp)|~aNaturalNumber0(X1)),inference(cn,[status(thm)],[996,theory(equality)])).
% cnf(1016,plain,(aNaturalNumber0(sdtasdt0(xm,xm))|~aNaturalNumber0(xq)),inference(spm,[status(thm)],[265,55,theory(equality)])).
% cnf(1021,plain,(aNaturalNumber0(xq)),inference(er,[status(thm)],[690,theory(equality)])).
% cnf(1136,plain,(aNaturalNumber0(sdtasdt0(xn,xn))|~aNaturalNumber0(xm)),inference(spm,[status(thm)],[267,55,theory(equality)])).
% cnf(1141,plain,(aNaturalNumber0(sdtasdt0(xn,xn))|$false),inference(rw,[status(thm)],[1136,135,theory(equality)])).
% cnf(1142,plain,(aNaturalNumber0(sdtasdt0(xn,xn))),inference(cn,[status(thm)],[1141,theory(equality)])).
% cnf(1225,plain,(sdtasdt0(xp,xq)=xn),inference(er,[status(thm)],[805,theory(equality)])).
% cnf(1231,plain,(sdtasdt0(xn,X1)=sdtasdt0(xp,sdtasdt0(xq,X1))|~aNaturalNumber0(X1)|~aNaturalNumber0(xq)|~aNaturalNumber0(xp)),inference(spm,[status(thm)],[61,1225,theory(equality)])).
% cnf(1260,plain,(sdtasdt0(xn,X1)=sdtasdt0(xp,sdtasdt0(xq,X1))|~aNaturalNumber0(X1)|$false|~aNaturalNumber0(xp)),inference(rw,[status(thm)],[1231,1021,theory(equality)])).
% cnf(1261,plain,(sdtasdt0(xn,X1)=sdtasdt0(xp,sdtasdt0(xq,X1))|~aNaturalNumber0(X1)|$false|$false),inference(rw,[status(thm)],[1260,134,theory(equality)])).
% cnf(1262,plain,(sdtasdt0(xn,X1)=sdtasdt0(xp,sdtasdt0(xq,X1))|~aNaturalNumber0(X1)),inference(cn,[status(thm)],[1261,theory(equality)])).
% cnf(1336,negated_conjecture,(sdtlseqdt0(xp,xm)|~aNaturalNumber0(xp)),inference(spm,[status(thm)],[458,445,theory(equality)])).
% cnf(1337,negated_conjecture,(sdtlseqdt0(sz00,xm)|~aNaturalNumber0(sz00)|~aNaturalNumber0(xn)),inference(spm,[status(thm)],[458,520,theory(equality)])).
% cnf(1345,negated_conjecture,(sdtlseqdt0(xp,xm)|$false),inference(rw,[status(thm)],[1336,134,theory(equality)])).
% cnf(1346,negated_conjecture,(sdtlseqdt0(xp,xm)),inference(cn,[status(thm)],[1345,theory(equality)])).
% cnf(1347,negated_conjecture,(sdtlseqdt0(sz00,xm)|$false|~aNaturalNumber0(xn)),inference(rw,[status(thm)],[1337,52,theory(equality)])).
% cnf(1348,negated_conjecture,(sdtlseqdt0(sz00,xm)|$false|$false),inference(rw,[status(thm)],[1347,136,theory(equality)])).
% cnf(1349,negated_conjecture,(sdtlseqdt0(sz00,xm)),inference(cn,[status(thm)],[1348,theory(equality)])).
% cnf(1363,negated_conjecture,(sdtlseqdt0(X1,xm)|~sdtlseqdt0(X1,xp)|~aNaturalNumber0(xp)|~aNaturalNumber0(xm)|~aNaturalNumber0(X1)),inference(spm,[status(thm)],[84,1346,theory(equality)])).
% cnf(1384,negated_conjecture,(sdtlseqdt0(X1,xm)|~sdtlseqdt0(X1,xp)|$false|~aNaturalNumber0(xm)|~aNaturalNumber0(X1)),inference(rw,[status(thm)],[1363,134,theory(equality)])).
% cnf(1385,negated_conjecture,(sdtlseqdt0(X1,xm)|~sdtlseqdt0(X1,xp)|$false|$false|~aNaturalNumber0(X1)),inference(rw,[status(thm)],[1384,135,theory(equality)])).
% cnf(1386,negated_conjecture,(sdtlseqdt0(X1,xm)|~sdtlseqdt0(X1,xp)|~aNaturalNumber0(X1)),inference(cn,[status(thm)],[1385,theory(equality)])).
% cnf(1429,negated_conjecture,(xm=sz00|~sdtlseqdt0(xm,sz00)|~aNaturalNumber0(sz00)|~aNaturalNumber0(xm)),inference(spm,[status(thm)],[81,1349,theory(equality)])).
% cnf(1433,negated_conjecture,(aNaturalNumber0(esk4_2(sz00,xm))|~aNaturalNumber0(sz00)|~aNaturalNumber0(xm)),inference(spm,[status(thm)],[176,1349,theory(equality)])).
% cnf(1434,negated_conjecture,(sdtpldt0(sz00,esk4_2(sz00,xm))=xm|~aNaturalNumber0(sz00)|~aNaturalNumber0(xm)),inference(spm,[status(thm)],[175,1349,theory(equality)])).
% cnf(1438,negated_conjecture,(xm=sz00|~sdtlseqdt0(xm,sz00)|$false|~aNaturalNumber0(xm)),inference(rw,[status(thm)],[1429,52,theory(equality)])).
% cnf(1439,negated_conjecture,(xm=sz00|~sdtlseqdt0(xm,sz00)|$false|$false),inference(rw,[status(thm)],[1438,135,theory(equality)])).
% cnf(1440,negated_conjecture,(xm=sz00|~sdtlseqdt0(xm,sz00)),inference(cn,[status(thm)],[1439,theory(equality)])).
% cnf(1441,negated_conjecture,(~sdtlseqdt0(xm,sz00)),inference(sr,[status(thm)],[1440,132,theory(equality)])).
% cnf(1454,negated_conjecture,(aNaturalNumber0(esk4_2(sz00,xm))|$false|~aNaturalNumber0(xm)),inference(rw,[status(thm)],[1433,52,theory(equality)])).
% cnf(1455,negated_conjecture,(aNaturalNumber0(esk4_2(sz00,xm))|$false|$false),inference(rw,[status(thm)],[1454,135,theory(equality)])).
% cnf(1456,negated_conjecture,(aNaturalNumber0(esk4_2(sz00,xm))),inference(cn,[status(thm)],[1455,theory(equality)])).
% cnf(1457,negated_conjecture,(sdtpldt0(sz00,esk4_2(sz00,xm))=xm|$false|~aNaturalNumber0(xm)),inference(rw,[status(thm)],[1434,52,theory(equality)])).
% cnf(1458,negated_conjecture,(sdtpldt0(sz00,esk4_2(sz00,xm))=xm|$false|$false),inference(rw,[status(thm)],[1457,135,theory(equality)])).
% cnf(1459,negated_conjecture,(sdtpldt0(sz00,esk4_2(sz00,xm))=xm),inference(cn,[status(thm)],[1458,theory(equality)])).
% cnf(1543,plain,(sdtsldt0(sdtasdt0(X1,X2),X2)=sdtasdt0(X1,sdtsldt0(X2,X2))|sz00=X2|~aNaturalNumber0(X1)|~aNaturalNumber0(X2)),inference(spm,[status(thm)],[127,545,theory(equality)])).
% cnf(1585,plain,(sdtlseqdt0(sz00,xn)|~aNaturalNumber0(sz00)|~aNaturalNumber0(xp)),inference(spm,[status(thm)],[997,520,theory(equality)])).
% cnf(1593,plain,(sdtlseqdt0(sz00,xn)|$false|~aNaturalNumber0(xp)),inference(rw,[status(thm)],[1585,52,theory(equality)])).
% cnf(1594,plain,(sdtlseqdt0(sz00,xn)|$false|$false),inference(rw,[status(thm)],[1593,134,theory(equality)])).
% cnf(1595,plain,(sdtlseqdt0(sz00,xn)),inference(cn,[status(thm)],[1594,theory(equality)])).
% cnf(1607,plain,(aNaturalNumber0(esk4_2(sz00,xn))|~aNaturalNumber0(sz00)|~aNaturalNumber0(xn)),inference(spm,[status(thm)],[176,1595,theory(equality)])).
% cnf(1608,plain,(sdtpldt0(sz00,esk4_2(sz00,xn))=xn|~aNaturalNumber0(sz00)|~aNaturalNumber0(xn)),inference(spm,[status(thm)],[175,1595,theory(equality)])).
% cnf(1629,plain,(aNaturalNumber0(esk4_2(sz00,xn))|$false|~aNaturalNumber0(xn)),inference(rw,[status(thm)],[1607,52,theory(equality)])).
% cnf(1630,plain,(aNaturalNumber0(esk4_2(sz00,xn))|$false|$false),inference(rw,[status(thm)],[1629,136,theory(equality)])).
% cnf(1631,plain,(aNaturalNumber0(esk4_2(sz00,xn))),inference(cn,[status(thm)],[1630,theory(equality)])).
% cnf(1632,plain,(sdtpldt0(sz00,esk4_2(sz00,xn))=xn|$false|~aNaturalNumber0(xn)),inference(rw,[status(thm)],[1608,52,theory(equality)])).
% cnf(1633,plain,(sdtpldt0(sz00,esk4_2(sz00,xn))=xn|$false|$false),inference(rw,[status(thm)],[1632,136,theory(equality)])).
% cnf(1634,plain,(sdtpldt0(sz00,esk4_2(sz00,xn))=xn),inference(cn,[status(thm)],[1633,theory(equality)])).
% cnf(1744,plain,(xn=esk4_2(sz00,xn)|~aNaturalNumber0(esk4_2(sz00,xn))),inference(spm,[status(thm)],[194,1634,theory(equality)])).
% cnf(1776,plain,(xn=esk4_2(sz00,xn)|$false),inference(rw,[status(thm)],[1744,1631,theory(equality)])).
% cnf(1777,plain,(xn=esk4_2(sz00,xn)),inference(cn,[status(thm)],[1776,theory(equality)])).
% cnf(1778,plain,(sdtpldt0(sz00,xn)=xn),inference(rw,[status(thm)],[1634,1777,theory(equality)])).
% cnf(1800,plain,(X1=sz00|sdtpldt0(X1,xn)!=xn|~aNaturalNumber0(xn)|~aNaturalNumber0(sz00)|~aNaturalNumber0(X1)),inference(spm,[status(thm)],[228,1778,theory(equality)])).
% cnf(1801,plain,(sdtmndt0(X1,sz00)=xn|xn!=X1|~aNaturalNumber0(xn)|~aNaturalNumber0(sz00)|~aNaturalNumber0(X1)),inference(spm,[status(thm)],[245,1778,theory(equality)])).
% cnf(1817,plain,(X1=sz00|sdtpldt0(X1,xn)!=xn|$false|~aNaturalNumber0(sz00)|~aNaturalNumber0(X1)),inference(rw,[status(thm)],[1800,136,theory(equality)])).
% cnf(1818,plain,(X1=sz00|sdtpldt0(X1,xn)!=xn|$false|$false|~aNaturalNumber0(X1)),inference(rw,[status(thm)],[1817,52,theory(equality)])).
% cnf(1819,plain,(X1=sz00|sdtpldt0(X1,xn)!=xn|~aNaturalNumber0(X1)),inference(cn,[status(thm)],[1818,theory(equality)])).
% cnf(1820,plain,(sdtmndt0(X1,sz00)=xn|xn!=X1|$false|~aNaturalNumber0(sz00)|~aNaturalNumber0(X1)),inference(rw,[status(thm)],[1801,136,theory(equality)])).
% cnf(1821,plain,(sdtmndt0(X1,sz00)=xn|xn!=X1|$false|$false|~aNaturalNumber0(X1)),inference(rw,[status(thm)],[1820,52,theory(equality)])).
% cnf(1822,plain,(sdtmndt0(X1,sz00)=xn|xn!=X1|~aNaturalNumber0(X1)),inference(cn,[status(thm)],[1821,theory(equality)])).
% cnf(1940,negated_conjecture,(xm=esk4_2(sz00,xm)|~aNaturalNumber0(esk4_2(sz00,xm))),inference(spm,[status(thm)],[194,1459,theory(equality)])).
% cnf(1972,negated_conjecture,(xm=esk4_2(sz00,xm)|$false),inference(rw,[status(thm)],[1940,1456,theory(equality)])).
% cnf(1973,negated_conjecture,(xm=esk4_2(sz00,xm)),inference(cn,[status(thm)],[1972,theory(equality)])).
% cnf(1974,negated_conjecture,(sdtpldt0(sz00,xm)=xm),inference(rw,[status(thm)],[1459,1973,theory(equality)])).
% cnf(2017,plain,(aNaturalNumber0(sdtasdt0(xm,xm))|$false),inference(rw,[status(thm)],[1016,1021,theory(equality)])).
% cnf(2018,plain,(aNaturalNumber0(sdtasdt0(xm,xm))),inference(cn,[status(thm)],[2017,theory(equality)])).
% cnf(2086,plain,(X1=sz00|sdtpldt0(xn,X1)!=xn|~aNaturalNumber0(X1)|~aNaturalNumber0(xn)),inference(spm,[status(thm)],[1819,221,theory(equality)])).
% cnf(2090,plain,(X1=sz00|sdtpldt0(xn,X1)!=xn|~aNaturalNumber0(X1)|$false),inference(rw,[status(thm)],[2086,136,theory(equality)])).
% cnf(2091,plain,(X1=sz00|sdtpldt0(xn,X1)!=xn|~aNaturalNumber0(X1)),inference(cn,[status(thm)],[2090,theory(equality)])).
% cnf(2182,negated_conjecture,(sdtlseqdt0(sz10,xm)|sz00=xp|~aNaturalNumber0(sz10)|~aNaturalNumber0(xp)),inference(spm,[status(thm)],[1386,344,theory(equality)])).
% cnf(2197,negated_conjecture,(sdtlseqdt0(sz10,xm)|sz00=xp|$false|~aNaturalNumber0(xp)),inference(rw,[status(thm)],[2182,208,theory(equality)])).
% cnf(2198,negated_conjecture,(sdtlseqdt0(sz10,xm)|sz00=xp|$false|$false),inference(rw,[status(thm)],[2197,134,theory(equality)])).
% cnf(2199,negated_conjecture,(sdtlseqdt0(sz10,xm)|sz00=xp),inference(cn,[status(thm)],[2198,theory(equality)])).
% cnf(2200,negated_conjecture,(sdtlseqdt0(sz10,xm)),inference(sr,[status(thm)],[2199,131,theory(equality)])).
% cnf(2266,negated_conjecture,(aNaturalNumber0(esk4_2(sz10,xm))|~aNaturalNumber0(sz10)|~aNaturalNumber0(xm)),inference(spm,[status(thm)],[176,2200,theory(equality)])).
% cnf(2267,negated_conjecture,(sdtpldt0(sz10,esk4_2(sz10,xm))=xm|~aNaturalNumber0(sz10)|~aNaturalNumber0(xm)),inference(spm,[status(thm)],[175,2200,theory(equality)])).
% cnf(2283,negated_conjecture,(aNaturalNumber0(esk4_2(sz10,xm))|$false|~aNaturalNumber0(xm)),inference(rw,[status(thm)],[2266,208,theory(equality)])).
% cnf(2284,negated_conjecture,(aNaturalNumber0(esk4_2(sz10,xm))|$false|$false),inference(rw,[status(thm)],[2283,135,theory(equality)])).
% cnf(2285,negated_conjecture,(aNaturalNumber0(esk4_2(sz10,xm))),inference(cn,[status(thm)],[2284,theory(equality)])).
% cnf(2286,negated_conjecture,(sdtpldt0(sz10,esk4_2(sz10,xm))=xm|$false|~aNaturalNumber0(xm)),inference(rw,[status(thm)],[2267,208,theory(equality)])).
% cnf(2287,negated_conjecture,(sdtpldt0(sz10,esk4_2(sz10,xm))=xm|$false|$false),inference(rw,[status(thm)],[2286,135,theory(equality)])).
% cnf(2288,negated_conjecture,(sdtpldt0(sz10,esk4_2(sz10,xm))=xm),inference(cn,[status(thm)],[2287,theory(equality)])).
% cnf(2630,plain,(sz00=xp|sdtlseqdt0(sdtasdt0(xm,xm),sdtasdt0(xn,xn))|~aNaturalNumber0(xp)|~aNaturalNumber0(sdtasdt0(xm,xm))),inference(spm,[status(thm)],[341,140,theory(equality)])).
% cnf(2646,plain,(sz00=xp|sdtlseqdt0(sdtasdt0(xm,xm),sdtasdt0(xn,xn))|$false|~aNaturalNumber0(sdtasdt0(xm,xm))),inference(rw,[status(thm)],[2630,134,theory(equality)])).
% cnf(2647,plain,(sz00=xp|sdtlseqdt0(sdtasdt0(xm,xm),sdtasdt0(xn,xn))|$false|$false),inference(rw,[status(thm)],[2646,2018,theory(equality)])).
% cnf(2648,plain,(sz00=xp|sdtlseqdt0(sdtasdt0(xm,xm),sdtasdt0(xn,xn))),inference(cn,[status(thm)],[2647,theory(equality)])).
% cnf(2649,plain,(sdtlseqdt0(sdtasdt0(xm,xm),sdtasdt0(xn,xn))),inference(sr,[status(thm)],[2648,131,theory(equality)])).
% cnf(2737,plain,(sdtlseqdt0(X1,sdtasdt0(xn,xn))|~sdtlseqdt0(X1,sdtasdt0(xm,xm))|~aNaturalNumber0(sdtasdt0(xm,xm))|~aNaturalNumber0(sdtasdt0(xn,xn))|~aNaturalNumber0(X1)),inference(spm,[status(thm)],[84,2649,theory(equality)])).
% cnf(2762,plain,(sdtlseqdt0(X1,sdtasdt0(xn,xn))|~sdtlseqdt0(X1,sdtasdt0(xm,xm))|$false|~aNaturalNumber0(sdtasdt0(xn,xn))|~aNaturalNumber0(X1)),inference(rw,[status(thm)],[2737,2018,theory(equality)])).
% cnf(2763,plain,(sdtlseqdt0(X1,sdtasdt0(xn,xn))|~sdtlseqdt0(X1,sdtasdt0(xm,xm))|$false|$false|~aNaturalNumber0(X1)),inference(rw,[status(thm)],[2762,1142,theory(equality)])).
% cnf(2764,plain,(sdtlseqdt0(X1,sdtasdt0(xn,xn))|~sdtlseqdt0(X1,sdtasdt0(xm,xm))|~aNaturalNumber0(X1)),inference(cn,[status(thm)],[2763,theory(equality)])).
% cnf(3220,plain,(sdtmndt0(xn,sz00)=xn|~aNaturalNumber0(xn)),inference(er,[status(thm)],[1822,theory(equality)])).
% cnf(3221,plain,(sdtmndt0(xn,sz00)=xn|$false),inference(rw,[status(thm)],[3220,136,theory(equality)])).
% cnf(3222,plain,(sdtmndt0(xn,sz00)=xn),inference(cn,[status(thm)],[3221,theory(equality)])).
% cnf(3223,plain,(aNaturalNumber0(X1)|xn!=X1|~sdtlseqdt0(sz00,xn)|~aNaturalNumber0(sz00)|~aNaturalNumber0(xn)),inference(spm,[status(thm)],[238,3222,theory(equality)])).
% cnf(3225,plain,(aNaturalNumber0(X1)|xn!=X1|$false|~aNaturalNumber0(sz00)|~aNaturalNumber0(xn)),inference(rw,[status(thm)],[3223,1595,theory(equality)])).
% cnf(3226,plain,(aNaturalNumber0(X1)|xn!=X1|$false|$false|~aNaturalNumber0(xn)),inference(rw,[status(thm)],[3225,52,theory(equality)])).
% cnf(3227,plain,(aNaturalNumber0(X1)|xn!=X1|$false|$false|$false),inference(rw,[status(thm)],[3226,136,theory(equality)])).
% cnf(3228,plain,(aNaturalNumber0(X1)|xn!=X1),inference(cn,[status(thm)],[3227,theory(equality)])).
% cnf(4316,plain,(sz00=X2|aNaturalNumber0(esk4_2(X1,sdtasdt0(X1,X2)))|~aNaturalNumber0(X2)|~aNaturalNumber0(X1)),inference(csr,[status(thm)],[430,55])).
% cnf(5022,plain,(sz00=X3|sdtlseqdt0(X1,sdtasdt0(X2,X3))|~sdtlseqdt0(X1,X2)|~aNaturalNumber0(X1)|~aNaturalNumber0(X3)|~aNaturalNumber0(X2)),inference(csr,[status(thm)],[450,55])).
% cnf(5460,plain,(sdtasdt0(X1,sdtasdt0(X2,sz10))=sdtasdt0(X1,X2)|~aNaturalNumber0(X2)|~aNaturalNumber0(X1)),inference(csr,[status(thm)],[476,55])).
% cnf(5551,plain,(sdtasdt0(X1,sdtasdt0(X2,sz00))=sz00|~aNaturalNumber0(X2)|~aNaturalNumber0(X1)),inference(csr,[status(thm)],[478,55])).
% cnf(5632,plain,(sdtasdt0(X1,sdtasdt0(X2,X3))=sdtasdt0(X2,sdtasdt0(X3,X1))|~aNaturalNumber0(X1)|~aNaturalNumber0(X3)|~aNaturalNumber0(X2)),inference(csr,[status(thm)],[461,55])).
% cnf(5793,plain,(sdtlseqdt0(sz00,sdtasdt0(xn,xn))|~aNaturalNumber0(sz00)|~aNaturalNumber0(sdtasdt0(xm,xm))),inference(spm,[status(thm)],[2764,520,theory(equality)])).
% cnf(5797,plain,(sdtlseqdt0(xm,sdtasdt0(xn,xn))|sz00=xm|~aNaturalNumber0(xm)),inference(spm,[status(thm)],[2764,99,theory(equality)])).
% cnf(5810,plain,(sdtlseqdt0(sz00,sdtasdt0(xn,xn))|$false|~aNaturalNumber0(sdtasdt0(xm,xm))),inference(rw,[status(thm)],[5793,52,theory(equality)])).
% cnf(5811,plain,(sdtlseqdt0(sz00,sdtasdt0(xn,xn))|$false|$false),inference(rw,[status(thm)],[5810,2018,theory(equality)])).
% cnf(5812,plain,(sdtlseqdt0(sz00,sdtasdt0(xn,xn))),inference(cn,[status(thm)],[5811,theory(equality)])).
% cnf(5820,plain,(sdtlseqdt0(xm,sdtasdt0(xn,xn))|sz00=xm|$false),inference(rw,[status(thm)],[5797,135,theory(equality)])).
% cnf(5821,plain,(sdtlseqdt0(xm,sdtasdt0(xn,xn))|sz00=xm),inference(cn,[status(thm)],[5820,theory(equality)])).
% cnf(5822,plain,(sdtlseqdt0(xm,sdtasdt0(xn,xn))),inference(sr,[status(thm)],[5821,132,theory(equality)])).
% cnf(5830,plain,(aNaturalNumber0(esk4_2(xm,sdtasdt0(xn,xn)))|~aNaturalNumber0(xm)|~aNaturalNumber0(sdtasdt0(xn,xn))),inference(spm,[status(thm)],[176,5822,theory(equality)])).
% cnf(5831,plain,(sdtpldt0(xm,esk4_2(xm,sdtasdt0(xn,xn)))=sdtasdt0(xn,xn)|~aNaturalNumber0(xm)|~aNaturalNumber0(sdtasdt0(xn,xn))),inference(spm,[status(thm)],[175,5822,theory(equality)])).
% cnf(5855,plain,(aNaturalNumber0(esk4_2(xm,sdtasdt0(xn,xn)))|$false|~aNaturalNumber0(sdtasdt0(xn,xn))),inference(rw,[status(thm)],[5830,135,theory(equality)])).
% cnf(5856,plain,(aNaturalNumber0(esk4_2(xm,sdtasdt0(xn,xn)))|$false|$false),inference(rw,[status(thm)],[5855,1142,theory(equality)])).
% cnf(5857,plain,(aNaturalNumber0(esk4_2(xm,sdtasdt0(xn,xn)))),inference(cn,[status(thm)],[5856,theory(equality)])).
% cnf(5858,plain,(sdtpldt0(xm,esk4_2(xm,sdtasdt0(xn,xn)))=sdtasdt0(xn,xn)|$false|~aNaturalNumber0(sdtasdt0(xn,xn))),inference(rw,[status(thm)],[5831,135,theory(equality)])).
% cnf(5859,plain,(sdtpldt0(xm,esk4_2(xm,sdtasdt0(xn,xn)))=sdtasdt0(xn,xn)|$false|$false),inference(rw,[status(thm)],[5858,1142,theory(equality)])).
% cnf(5860,plain,(sdtpldt0(xm,esk4_2(xm,sdtasdt0(xn,xn)))=sdtasdt0(xn,xn)),inference(cn,[status(thm)],[5859,theory(equality)])).
% cnf(6056,plain,(sz00=X1|sdtlseqdt0(sdtasdt0(X2,X3),sdtasdt0(X2,sdtasdt0(X3,X1)))|~aNaturalNumber0(X3)|~aNaturalNumber0(X2)|~aNaturalNumber0(X1)),inference(csr,[status(thm)],[462,55])).
% cnf(6339,plain,(sdtasdt0(X1,X2)=sz00|sz00=X3|sdtasdt0(X1,sdtasdt0(X2,X3))!=sz00|~aNaturalNumber0(X3)|~aNaturalNumber0(X2)|~aNaturalNumber0(X1)),inference(csr,[status(thm)],[463,55])).
% cnf(6974,plain,(sz00=xm|sdtasdt0(xn,xn)!=sz00|~aNaturalNumber0(xm)|~aNaturalNumber0(esk4_2(xm,sdtasdt0(xn,xn)))),inference(spm,[status(thm)],[200,5860,theory(equality)])).
% cnf(6989,plain,(sz00=xm|sdtasdt0(xn,xn)!=sz00|$false|~aNaturalNumber0(esk4_2(xm,sdtasdt0(xn,xn)))),inference(rw,[status(thm)],[6974,135,theory(equality)])).
% cnf(6990,plain,(sz00=xm|sdtasdt0(xn,xn)!=sz00|$false|$false),inference(rw,[status(thm)],[6989,5857,theory(equality)])).
% cnf(6991,plain,(sz00=xm|sdtasdt0(xn,xn)!=sz00),inference(cn,[status(thm)],[6990,theory(equality)])).
% cnf(6992,plain,(sdtasdt0(xn,xn)!=sz00),inference(sr,[status(thm)],[6991,132,theory(equality)])).
% cnf(7071,plain,(sdtasdt0(sz10,xn)=xn|~aNaturalNumber0(xq)|~aNaturalNumber0(xp)),inference(spm,[status(thm)],[480,1225,theory(equality)])).
% cnf(7073,plain,(sdtasdt0(sz10,sdtasdt0(xn,xn))=sdtasdt0(xn,xn)|~aNaturalNumber0(sdtasdt0(xm,xm))|~aNaturalNumber0(xp)),inference(spm,[status(thm)],[480,140,theory(equality)])).
% cnf(7165,plain,(sdtasdt0(sz10,xn)=xn|$false|~aNaturalNumber0(xp)),inference(rw,[status(thm)],[7071,1021,theory(equality)])).
% cnf(7166,plain,(sdtasdt0(sz10,xn)=xn|$false|$false),inference(rw,[status(thm)],[7165,134,theory(equality)])).
% cnf(7167,plain,(sdtasdt0(sz10,xn)=xn),inference(cn,[status(thm)],[7166,theory(equality)])).
% cnf(7170,plain,(sdtasdt0(sz10,sdtasdt0(xn,xn))=sdtasdt0(xn,xn)|$false|~aNaturalNumber0(xp)),inference(rw,[status(thm)],[7073,2018,theory(equality)])).
% cnf(7171,plain,(sdtasdt0(sz10,sdtasdt0(xn,xn))=sdtasdt0(xn,xn)|$false|$false),inference(rw,[status(thm)],[7170,134,theory(equality)])).
% cnf(7172,plain,(sdtasdt0(sz10,sdtasdt0(xn,xn))=sdtasdt0(xn,xn)),inference(cn,[status(thm)],[7171,theory(equality)])).
% cnf(7188,plain,(sz00=sz10|sdtlseqdt0(xn,xn)|~aNaturalNumber0(sz10)|~aNaturalNumber0(xn)),inference(spm,[status(thm)],[341,7167,theory(equality)])).
% cnf(7239,plain,(sz00=sz10|sdtlseqdt0(xn,xn)|$false|~aNaturalNumber0(xn)),inference(rw,[status(thm)],[7188,208,theory(equality)])).
% cnf(7240,plain,(sz00=sz10|sdtlseqdt0(xn,xn)|$false|$false),inference(rw,[status(thm)],[7239,136,theory(equality)])).
% cnf(7241,plain,(sz00=sz10|sdtlseqdt0(xn,xn)),inference(cn,[status(thm)],[7240,theory(equality)])).
% cnf(7242,plain,(sdtlseqdt0(xn,xn)),inference(sr,[status(thm)],[7241,207,theory(equality)])).
% cnf(7305,plain,(aNaturalNumber0(esk4_2(xn,xn))|~aNaturalNumber0(xn)),inference(spm,[status(thm)],[176,7242,theory(equality)])).
% cnf(7306,plain,(sdtpldt0(xn,esk4_2(xn,xn))=xn|~aNaturalNumber0(xn)),inference(spm,[status(thm)],[175,7242,theory(equality)])).
% cnf(7314,plain,(aNaturalNumber0(esk4_2(xn,xn))|$false),inference(rw,[status(thm)],[7305,136,theory(equality)])).
% cnf(7315,plain,(aNaturalNumber0(esk4_2(xn,xn))),inference(cn,[status(thm)],[7314,theory(equality)])).
% cnf(7316,plain,(sdtpldt0(xn,esk4_2(xn,xn))=xn|$false),inference(rw,[status(thm)],[7306,136,theory(equality)])).
% cnf(7317,plain,(sdtpldt0(xn,esk4_2(xn,xn))=xn),inference(cn,[status(thm)],[7316,theory(equality)])).
% cnf(7348,plain,(esk4_2(xn,xn)=sz00|~aNaturalNumber0(esk4_2(xn,xn))),inference(spm,[status(thm)],[2091,7317,theory(equality)])).
% cnf(7383,plain,(esk4_2(xn,xn)=sz00|$false),inference(rw,[status(thm)],[7348,7315,theory(equality)])).
% cnf(7384,plain,(esk4_2(xn,xn)=sz00),inference(cn,[status(thm)],[7383,theory(equality)])).
% cnf(7389,plain,(sdtpldt0(xn,sz00)=xn),inference(rw,[status(thm)],[7317,7384,theory(equality)])).
% cnf(7403,plain,(sdtmndt0(X1,xn)=sz00|xn!=X1|~aNaturalNumber0(sz00)|~aNaturalNumber0(xn)|~aNaturalNumber0(X1)),inference(spm,[status(thm)],[245,7389,theory(equality)])).
% cnf(7431,plain,(sdtmndt0(X1,xn)=sz00|xn!=X1|$false|~aNaturalNumber0(xn)|~aNaturalNumber0(X1)),inference(rw,[status(thm)],[7403,52,theory(equality)])).
% cnf(7432,plain,(sdtmndt0(X1,xn)=sz00|xn!=X1|$false|$false|~aNaturalNumber0(X1)),inference(rw,[status(thm)],[7431,136,theory(equality)])).
% cnf(7433,plain,(sdtmndt0(X1,xn)=sz00|xn!=X1|~aNaturalNumber0(X1)),inference(cn,[status(thm)],[7432,theory(equality)])).
% cnf(7524,plain,(sz00=sz10|sdtlseqdt0(sdtasdt0(xn,xn),sdtasdt0(xn,xn))|~aNaturalNumber0(sz10)|~aNaturalNumber0(sdtasdt0(xn,xn))),inference(spm,[status(thm)],[341,7172,theory(equality)])).
% cnf(7580,plain,(sz00=sz10|sdtlseqdt0(sdtasdt0(xn,xn),sdtasdt0(xn,xn))|$false|~aNaturalNumber0(sdtasdt0(xn,xn))),inference(rw,[status(thm)],[7524,208,theory(equality)])).
% cnf(7581,plain,(sz00=sz10|sdtlseqdt0(sdtasdt0(xn,xn),sdtasdt0(xn,xn))|$false|$false),inference(rw,[status(thm)],[7580,1142,theory(equality)])).
% cnf(7582,plain,(sz00=sz10|sdtlseqdt0(sdtasdt0(xn,xn),sdtasdt0(xn,xn))),inference(cn,[status(thm)],[7581,theory(equality)])).
% cnf(7583,plain,(sdtlseqdt0(sdtasdt0(xn,xn),sdtasdt0(xn,xn))),inference(sr,[status(thm)],[7582,207,theory(equality)])).
% cnf(7697,plain,(sdtasdt0(xp,sdtasdt0(sdtasdt0(xm,xm),X1))=sdtasdt0(sdtasdt0(xn,xn),X1)|~aNaturalNumber0(X1)|$false),inference(rw,[status(thm)],[484,2018,theory(equality)])).
% cnf(7698,plain,(sdtasdt0(xp,sdtasdt0(sdtasdt0(xm,xm),X1))=sdtasdt0(sdtasdt0(xn,xn),X1)|~aNaturalNumber0(X1)),inference(cn,[status(thm)],[7697,theory(equality)])).
% cnf(7726,plain,(sdtasdt0(sdtasdt0(xn,xn),sz10)=sdtasdt0(xp,sdtasdt0(xm,xm))|~aNaturalNumber0(sdtasdt0(xm,xm))|~aNaturalNumber0(xp)|~aNaturalNumber0(sz10)),inference(spm,[status(thm)],[5460,7698,theory(equality)])).
% cnf(7727,plain,(sdtasdt0(sdtasdt0(xn,xn),sz00)=sz00|~aNaturalNumber0(sdtasdt0(xm,xm))|~aNaturalNumber0(xp)|~aNaturalNumber0(sz00)),inference(spm,[status(thm)],[5551,7698,theory(equality)])).
% cnf(7804,plain,(sdtasdt0(sdtasdt0(xn,xn),sz10)=sdtasdt0(xn,xn)|~aNaturalNumber0(sdtasdt0(xm,xm))|~aNaturalNumber0(xp)|~aNaturalNumber0(sz10)),inference(rw,[status(thm)],[7726,140,theory(equality)])).
% cnf(7805,plain,(sdtasdt0(sdtasdt0(xn,xn),sz10)=sdtasdt0(xn,xn)|$false|~aNaturalNumber0(xp)|~aNaturalNumber0(sz10)),inference(rw,[status(thm)],[7804,2018,theory(equality)])).
% cnf(7806,plain,(sdtasdt0(sdtasdt0(xn,xn),sz10)=sdtasdt0(xn,xn)|$false|$false|~aNaturalNumber0(sz10)),inference(rw,[status(thm)],[7805,134,theory(equality)])).
% cnf(7807,plain,(sdtasdt0(sdtasdt0(xn,xn),sz10)=sdtasdt0(xn,xn)|$false|$false|$false),inference(rw,[status(thm)],[7806,208,theory(equality)])).
% cnf(7808,plain,(sdtasdt0(sdtasdt0(xn,xn),sz10)=sdtasdt0(xn,xn)),inference(cn,[status(thm)],[7807,theory(equality)])).
% cnf(7809,plain,(sdtasdt0(sdtasdt0(xn,xn),sz00)=sz00|$false|~aNaturalNumber0(xp)|~aNaturalNumber0(sz00)),inference(rw,[status(thm)],[7727,2018,theory(equality)])).
% cnf(7810,plain,(sdtasdt0(sdtasdt0(xn,xn),sz00)=sz00|$false|$false|~aNaturalNumber0(sz00)),inference(rw,[status(thm)],[7809,134,theory(equality)])).
% cnf(7811,plain,(sdtasdt0(sdtasdt0(xn,xn),sz00)=sz00|$false|$false|$false),inference(rw,[status(thm)],[7810,52,theory(equality)])).
% cnf(7812,plain,(sdtasdt0(sdtasdt0(xn,xn),sz00)=sz00),inference(cn,[status(thm)],[7811,theory(equality)])).
% cnf(7875,plain,(sdtasdt0(sz00,sdtasdt0(xn,xn))=sz00|~aNaturalNumber0(sdtasdt0(xn,xn))|~aNaturalNumber0(sz00)),inference(spm,[status(thm)],[58,7812,theory(equality)])).
% cnf(7882,plain,(sz00=sdtasdt0(xn,xn)|sdtlseqdt0(sz00,sz00)|~aNaturalNumber0(sdtasdt0(xn,xn))|~aNaturalNumber0(sz00)),inference(spm,[status(thm)],[341,7812,theory(equality)])).
% cnf(7883,plain,(sdtasdt0(sz10,sz00)=sz00|~aNaturalNumber0(sz00)|~aNaturalNumber0(sdtasdt0(xn,xn))),inference(spm,[status(thm)],[480,7812,theory(equality)])).
% cnf(7899,plain,(sdtasdt0(sz00,sdtasdt0(xn,xn))=sz00|$false|~aNaturalNumber0(sz00)),inference(rw,[status(thm)],[7875,1142,theory(equality)])).
% cnf(7900,plain,(sdtasdt0(sz00,sdtasdt0(xn,xn))=sz00|$false|$false),inference(rw,[status(thm)],[7899,52,theory(equality)])).
% cnf(7901,plain,(sdtasdt0(sz00,sdtasdt0(xn,xn))=sz00),inference(cn,[status(thm)],[7900,theory(equality)])).
% cnf(7922,plain,(sz00=sdtasdt0(xn,xn)|sdtlseqdt0(sz00,sz00)|$false|~aNaturalNumber0(sz00)),inference(rw,[status(thm)],[7882,1142,theory(equality)])).
% cnf(7923,plain,(sz00=sdtasdt0(xn,xn)|sdtlseqdt0(sz00,sz00)|$false|$false),inference(rw,[status(thm)],[7922,52,theory(equality)])).
% cnf(7924,plain,(sz00=sdtasdt0(xn,xn)|sdtlseqdt0(sz00,sz00)),inference(cn,[status(thm)],[7923,theory(equality)])).
% cnf(7925,plain,(sdtlseqdt0(sz00,sz00)),inference(sr,[status(thm)],[7924,6992,theory(equality)])).
% cnf(7926,plain,(sdtasdt0(sz10,sz00)=sz00|$false|~aNaturalNumber0(sdtasdt0(xn,xn))),inference(rw,[status(thm)],[7883,52,theory(equality)])).
% cnf(7927,plain,(sdtasdt0(sz10,sz00)=sz00|$false|$false),inference(rw,[status(thm)],[7926,1142,theory(equality)])).
% cnf(7928,plain,(sdtasdt0(sz10,sz00)=sz00),inference(cn,[status(thm)],[7927,theory(equality)])).
% cnf(7975,plain,(aNaturalNumber0(esk4_2(sz00,sz00))|~aNaturalNumber0(sz00)),inference(spm,[status(thm)],[176,7925,theory(equality)])).
% cnf(8001,plain,(aNaturalNumber0(esk4_2(sz00,sz00))|$false),inference(rw,[status(thm)],[7975,52,theory(equality)])).
% cnf(8002,plain,(aNaturalNumber0(esk4_2(sz00,sz00))),inference(cn,[status(thm)],[8001,theory(equality)])).
% cnf(8017,plain,(sdtasdt0(sz00,sz10)=sz00|~aNaturalNumber0(sz10)|~aNaturalNumber0(sz00)),inference(spm,[status(thm)],[58,7928,theory(equality)])).
% cnf(8038,plain,(sdtasdt0(sz00,sz10)=sz00|$false|~aNaturalNumber0(sz00)),inference(rw,[status(thm)],[8017,208,theory(equality)])).
% cnf(8039,plain,(sdtasdt0(sz00,sz10)=sz00|$false|$false),inference(rw,[status(thm)],[8038,52,theory(equality)])).
% cnf(8040,plain,(sdtasdt0(sz00,sz10)=sz00),inference(cn,[status(thm)],[8039,theory(equality)])).
% cnf(8258,plain,(sdtasdt0(sz00,sdtasdt0(xn,xn))=sdtasdt0(sz00,sdtasdt0(xm,xm))|~aNaturalNumber0(sdtasdt0(xm,xm))|~aNaturalNumber0(xp)),inference(spm,[status(thm)],[486,140,theory(equality)])).
% cnf(8262,plain,(sdtasdt0(sz00,sz00)=sdtasdt0(sz00,sz10)|~aNaturalNumber0(sz10)|~aNaturalNumber0(sz00)),inference(spm,[status(thm)],[486,8040,theory(equality)])).
% cnf(8343,plain,(sdtasdt0(sz00,sdtasdt0(xn,xn))=sdtasdt0(sz00,sdtasdt0(xm,xm))|$false|~aNaturalNumber0(xp)),inference(rw,[status(thm)],[8258,2018,theory(equality)])).
% cnf(8344,plain,(sdtasdt0(sz00,sdtasdt0(xn,xn))=sdtasdt0(sz00,sdtasdt0(xm,xm))|$false|$false),inference(rw,[status(thm)],[8343,134,theory(equality)])).
% cnf(8345,plain,(sdtasdt0(sz00,sdtasdt0(xn,xn))=sdtasdt0(sz00,sdtasdt0(xm,xm))),inference(cn,[status(thm)],[8344,theory(equality)])).
% cnf(8348,plain,(sdtasdt0(sz00,sz00)=sz00|~aNaturalNumber0(sz10)|~aNaturalNumber0(sz00)),inference(rw,[status(thm)],[8262,8040,theory(equality)])).
% cnf(8349,plain,(sdtasdt0(sz00,sz00)=sz00|$false|~aNaturalNumber0(sz00)),inference(rw,[status(thm)],[8348,208,theory(equality)])).
% cnf(8350,plain,(sdtasdt0(sz00,sz00)=sz00|$false|$false),inference(rw,[status(thm)],[8349,52,theory(equality)])).
% cnf(8351,plain,(sdtasdt0(sz00,sz00)=sz00),inference(cn,[status(thm)],[8350,theory(equality)])).
% cnf(9206,plain,(sdtasdt0(xn,xn)=sdtasdt0(xn,sdtasdt0(xn,sz10))|~aNaturalNumber0(sz10)|~aNaturalNumber0(xn)),inference(spm,[status(thm)],[61,7808,theory(equality)])).
% cnf(9308,plain,(sdtasdt0(xn,xn)=sdtasdt0(xn,sdtasdt0(xn,sz10))|$false|~aNaturalNumber0(xn)),inference(rw,[status(thm)],[9206,208,theory(equality)])).
% cnf(9309,plain,(sdtasdt0(xn,xn)=sdtasdt0(xn,sdtasdt0(xn,sz10))|$false|$false),inference(rw,[status(thm)],[9308,136,theory(equality)])).
% cnf(9310,plain,(sdtasdt0(xn,xn)=sdtasdt0(xn,sdtasdt0(xn,sz10))),inference(cn,[status(thm)],[9309,theory(equality)])).
% cnf(10642,plain,(sdtasdt0(sz00,sdtasdt0(xm,xm))=sz00),inference(rw,[status(thm)],[8345,7901,theory(equality)])).
% cnf(10666,plain,(sdtasdt0(sz00,xm)=sz00|sz00=xm|~aNaturalNumber0(xm)|~aNaturalNumber0(sz00)),inference(spm,[status(thm)],[6339,10642,theory(equality)])).
% cnf(10749,plain,(sdtasdt0(sz00,xm)=sz00|sz00=xm|$false|~aNaturalNumber0(sz00)),inference(rw,[status(thm)],[10666,135,theory(equality)])).
% cnf(10750,plain,(sdtasdt0(sz00,xm)=sz00|sz00=xm|$false|$false),inference(rw,[status(thm)],[10749,52,theory(equality)])).
% cnf(10751,plain,(sdtasdt0(sz00,xm)=sz00|sz00=xm),inference(cn,[status(thm)],[10750,theory(equality)])).
% cnf(10752,plain,(sdtasdt0(sz00,xm)=sz00),inference(sr,[status(thm)],[10751,132,theory(equality)])).
% cnf(10883,plain,(sz00=esk4_2(sz00,sz00)|~aNaturalNumber0(esk4_2(sz00,sz00))|~aNaturalNumber0(sz00)),inference(spm,[status(thm)],[194,505,theory(equality)])).
% cnf(10901,plain,(sz00=esk4_2(sz00,sz00)|$false|~aNaturalNumber0(sz00)),inference(rw,[status(thm)],[10883,8002,theory(equality)])).
% cnf(10902,plain,(sz00=esk4_2(sz00,sz00)|$false|$false),inference(rw,[status(thm)],[10901,52,theory(equality)])).
% cnf(10903,plain,(sz00=esk4_2(sz00,sz00)),inference(cn,[status(thm)],[10902,theory(equality)])).
% cnf(10914,plain,(sdtpldt0(sz00,sz00)=sz00|~aNaturalNumber0(sz00)),inference(spm,[status(thm)],[505,10903,theory(equality)])).
% cnf(10931,plain,(sdtpldt0(sz00,sz00)=sz00|$false),inference(rw,[status(thm)],[10914,52,theory(equality)])).
% cnf(10932,plain,(sdtpldt0(sz00,sz00)=sz00),inference(cn,[status(thm)],[10931,theory(equality)])).
% cnf(11667,negated_conjecture,(sdtlseqdt0(xm,X1)|xm!=X1|~aNaturalNumber0(sz00)|~aNaturalNumber0(xm)|~aNaturalNumber0(X1)),inference(spm,[status(thm)],[516,1974,theory(equality)])).
% cnf(11714,negated_conjecture,(sdtlseqdt0(xm,X1)|xm!=X1|$false|~aNaturalNumber0(xm)|~aNaturalNumber0(X1)),inference(rw,[status(thm)],[11667,52,theory(equality)])).
% cnf(11715,negated_conjecture,(sdtlseqdt0(xm,X1)|xm!=X1|$false|$false|~aNaturalNumber0(X1)),inference(rw,[status(thm)],[11714,135,theory(equality)])).
% cnf(11716,negated_conjecture,(sdtlseqdt0(xm,X1)|xm!=X1|~aNaturalNumber0(X1)),inference(cn,[status(thm)],[11715,theory(equality)])).
% cnf(11800,negated_conjecture,(sdtlseqdt0(xm,xm)|~aNaturalNumber0(xm)),inference(er,[status(thm)],[11716,theory(equality)])).
% cnf(11801,negated_conjecture,(sdtlseqdt0(xm,xm)|$false),inference(rw,[status(thm)],[11800,135,theory(equality)])).
% cnf(11802,negated_conjecture,(sdtlseqdt0(xm,xm)),inference(cn,[status(thm)],[11801,theory(equality)])).
% cnf(11807,negated_conjecture,(sz00=X1|sdtlseqdt0(xm,sdtasdt0(xm,X1))|~aNaturalNumber0(xm)|~aNaturalNumber0(X1)),inference(spm,[status(thm)],[5022,11802,theory(equality)])).
% cnf(11820,negated_conjecture,(sz00=X1|sdtlseqdt0(xm,sdtasdt0(xm,X1))|$false|~aNaturalNumber0(X1)),inference(rw,[status(thm)],[11807,135,theory(equality)])).
% cnf(11821,negated_conjecture,(sz00=X1|sdtlseqdt0(xm,sdtasdt0(xm,X1))|~aNaturalNumber0(X1)),inference(cn,[status(thm)],[11820,theory(equality)])).
% cnf(13763,plain,(doDivides0(xm,X1)|sz00!=X1|~aNaturalNumber0(sz00)|~aNaturalNumber0(xm)|~aNaturalNumber0(X1)),inference(spm,[status(thm)],[532,10752,theory(equality)])).
% cnf(13842,plain,(doDivides0(xm,X1)|sz00!=X1|$false|~aNaturalNumber0(xm)|~aNaturalNumber0(X1)),inference(rw,[status(thm)],[13763,52,theory(equality)])).
% cnf(13843,plain,(doDivides0(xm,X1)|sz00!=X1|$false|$false|~aNaturalNumber0(X1)),inference(rw,[status(thm)],[13842,135,theory(equality)])).
% cnf(13844,plain,(doDivides0(xm,X1)|sz00!=X1|~aNaturalNumber0(X1)),inference(cn,[status(thm)],[13843,theory(equality)])).
% cnf(14326,plain,(aNaturalNumber0(sdtmndt0(sdtasdt0(xn,xn),sz00))|~aNaturalNumber0(sz00)|~aNaturalNumber0(sdtasdt0(xn,xn))),inference(spm,[status(thm)],[548,5812,theory(equality)])).
% cnf(14436,plain,(aNaturalNumber0(sdtmndt0(sdtasdt0(xn,xn),sz00))|$false|~aNaturalNumber0(sdtasdt0(xn,xn))),inference(rw,[status(thm)],[14326,52,theory(equality)])).
% cnf(14437,plain,(aNaturalNumber0(sdtmndt0(sdtasdt0(xn,xn),sz00))|$false|$false),inference(rw,[status(thm)],[14436,1142,theory(equality)])).
% cnf(14438,plain,(aNaturalNumber0(sdtmndt0(sdtasdt0(xn,xn),sz00))),inference(cn,[status(thm)],[14437,theory(equality)])).
% cnf(14738,plain,(X2=sdtasdt0(X3,X4)|sz00=X1|sdtasdt0(X2,X1)!=sdtasdt0(X3,sdtasdt0(X4,X1))|~aNaturalNumber0(X2)|~aNaturalNumber0(X1)|~aNaturalNumber0(X4)|~aNaturalNumber0(X3)),inference(csr,[status(thm)],[553,55])).
% cnf(14779,plain,(X1=sdtasdt0(sz10,xn)|sz00=xn|sdtasdt0(X1,xn)!=sdtasdt0(xn,xn)|~aNaturalNumber0(X1)|~aNaturalNumber0(xn)|~aNaturalNumber0(sz10)),inference(spm,[status(thm)],[14738,7172,theory(equality)])).
% cnf(14896,plain,(X1=xn|sz00=xn|sdtasdt0(X1,xn)!=sdtasdt0(xn,xn)|~aNaturalNumber0(X1)|~aNaturalNumber0(xn)|~aNaturalNumber0(sz10)),inference(rw,[status(thm)],[14779,7167,theory(equality)])).
% cnf(14897,plain,(X1=xn|sz00=xn|sdtasdt0(X1,xn)!=sdtasdt0(xn,xn)|~aNaturalNumber0(X1)|$false|~aNaturalNumber0(sz10)),inference(rw,[status(thm)],[14896,136,theory(equality)])).
% cnf(14898,plain,(X1=xn|sz00=xn|sdtasdt0(X1,xn)!=sdtasdt0(xn,xn)|~aNaturalNumber0(X1)|$false|$false),inference(rw,[status(thm)],[14897,208,theory(equality)])).
% cnf(14899,plain,(X1=xn|sz00=xn|sdtasdt0(X1,xn)!=sdtasdt0(xn,xn)|~aNaturalNumber0(X1)),inference(cn,[status(thm)],[14898,theory(equality)])).
% cnf(14900,plain,(X1=xn|sdtasdt0(X1,xn)!=sdtasdt0(xn,xn)|~aNaturalNumber0(X1)),inference(sr,[status(thm)],[14899,133,theory(equality)])).
% cnf(15478,plain,(X1=xn|sdtasdt0(xn,X1)!=sdtasdt0(xn,xn)|~aNaturalNumber0(X1)|~aNaturalNumber0(xn)),inference(spm,[status(thm)],[14900,58,theory(equality)])).
% cnf(15492,plain,(X1=xn|sdtasdt0(xn,X1)!=sdtasdt0(xn,xn)|~aNaturalNumber0(X1)|$false),inference(rw,[status(thm)],[15478,136,theory(equality)])).
% cnf(15493,plain,(X1=xn|sdtasdt0(xn,X1)!=sdtasdt0(xn,xn)|~aNaturalNumber0(X1)),inference(cn,[status(thm)],[15492,theory(equality)])).
% cnf(15516,plain,(sdtasdt0(xn,sz10)=xn|~aNaturalNumber0(sdtasdt0(xn,sz10))),inference(spm,[status(thm)],[15493,9310,theory(equality)])).
% cnf(15562,plain,(sdtasdt0(xn,sz10)=xn|~aNaturalNumber0(sz10)|~aNaturalNumber0(xn)),inference(spm,[status(thm)],[15516,55,theory(equality)])).
% cnf(15574,plain,(sdtasdt0(xn,sz10)=xn|$false|~aNaturalNumber0(xn)),inference(rw,[status(thm)],[15562,208,theory(equality)])).
% cnf(15575,plain,(sdtasdt0(xn,sz10)=xn|$false|$false),inference(rw,[status(thm)],[15574,136,theory(equality)])).
% cnf(15576,plain,(sdtasdt0(xn,sz10)=xn),inference(cn,[status(thm)],[15575,theory(equality)])).
% cnf(15848,plain,(sdtmndt0(X1,xn)=sz00|xn!=X1),inference(csr,[status(thm)],[7433,3228])).
% cnf(15849,plain,(sdtmndt0(xn,xn)=sz00),inference(er,[status(thm)],[15848,theory(equality)])).
% cnf(15850,plain,(aNaturalNumber0(X1)|sz00!=X1|~sdtlseqdt0(xn,xn)|~aNaturalNumber0(xn)),inference(spm,[status(thm)],[238,15849,theory(equality)])).
% cnf(15853,plain,(aNaturalNumber0(X1)|sz00!=X1|$false|~aNaturalNumber0(xn)),inference(rw,[status(thm)],[15850,7242,theory(equality)])).
% cnf(15854,plain,(aNaturalNumber0(X1)|sz00!=X1|$false|$false),inference(rw,[status(thm)],[15853,136,theory(equality)])).
% cnf(15855,plain,(aNaturalNumber0(X1)|sz00!=X1),inference(cn,[status(thm)],[15854,theory(equality)])).
% cnf(16080,plain,(doDivides0(xm,X1)|sz00!=X1),inference(csr,[status(thm)],[13844,15855])).
% cnf(16081,plain,(doDivides0(xm,sz00)),inference(er,[status(thm)],[16080,theory(equality)])).
% cnf(16083,plain,(aNaturalNumber0(esk1_2(xm,sz00))|~aNaturalNumber0(xm)|~aNaturalNumber0(sz00)),inference(spm,[status(thm)],[109,16081,theory(equality)])).
% cnf(16084,plain,(sdtasdt0(xm,esk1_2(xm,sz00))=sz00|~aNaturalNumber0(xm)|~aNaturalNumber0(sz00)),inference(spm,[status(thm)],[108,16081,theory(equality)])).
% cnf(16092,plain,(aNaturalNumber0(esk1_2(xm,sz00))|$false|~aNaturalNumber0(sz00)),inference(rw,[status(thm)],[16083,135,theory(equality)])).
% cnf(16093,plain,(aNaturalNumber0(esk1_2(xm,sz00))|$false|$false),inference(rw,[status(thm)],[16092,52,theory(equality)])).
% cnf(16094,plain,(aNaturalNumber0(esk1_2(xm,sz00))),inference(cn,[status(thm)],[16093,theory(equality)])).
% cnf(16095,plain,(sdtasdt0(xm,esk1_2(xm,sz00))=sz00|$false|~aNaturalNumber0(sz00)),inference(rw,[status(thm)],[16084,135,theory(equality)])).
% cnf(16096,plain,(sdtasdt0(xm,esk1_2(xm,sz00))=sz00|$false|$false),inference(rw,[status(thm)],[16095,52,theory(equality)])).
% cnf(16097,plain,(sdtasdt0(xm,esk1_2(xm,sz00))=sz00),inference(cn,[status(thm)],[16096,theory(equality)])).
% cnf(16269,negated_conjecture,(sz00=esk1_2(xm,sz00)|sdtlseqdt0(xm,sz00)|~aNaturalNumber0(esk1_2(xm,sz00))),inference(spm,[status(thm)],[11821,16097,theory(equality)])).
% cnf(16320,negated_conjecture,(sz00=esk1_2(xm,sz00)|sdtlseqdt0(xm,sz00)|$false),inference(rw,[status(thm)],[16269,16094,theory(equality)])).
% cnf(16321,negated_conjecture,(sz00=esk1_2(xm,sz00)|sdtlseqdt0(xm,sz00)),inference(cn,[status(thm)],[16320,theory(equality)])).
% cnf(16322,negated_conjecture,(esk1_2(xm,sz00)=sz00),inference(sr,[status(thm)],[16321,1441,theory(equality)])).
% cnf(16327,plain,(sdtasdt0(xm,sz00)=sz00),inference(rw,[status(thm)],[16097,16322,theory(equality)])).
% cnf(19571,plain,(sdtpldt0(sz00,sdtmndt0(sdtasdt0(xn,xn),sz00))=sdtasdt0(xn,xn)|~aNaturalNumber0(sz00)|~aNaturalNumber0(sdtasdt0(xn,xn))),inference(spm,[status(thm)],[649,5812,theory(equality)])).
% cnf(19699,plain,(sdtpldt0(sz00,sdtmndt0(sdtasdt0(xn,xn),sz00))=sdtasdt0(xn,xn)|$false|~aNaturalNumber0(sdtasdt0(xn,xn))),inference(rw,[status(thm)],[19571,52,theory(equality)])).
% cnf(19700,plain,(sdtpldt0(sz00,sdtmndt0(sdtasdt0(xn,xn),sz00))=sdtasdt0(xn,xn)|$false|$false),inference(rw,[status(thm)],[19699,1142,theory(equality)])).
% cnf(19701,plain,(sdtpldt0(sz00,sdtmndt0(sdtasdt0(xn,xn),sz00))=sdtasdt0(xn,xn)),inference(cn,[status(thm)],[19700,theory(equality)])).
% cnf(22965,plain,(aNaturalNumber0(sdtasdt0(X1,sdtpldt0(X2,X3)))|~aNaturalNumber0(sdtasdt0(X1,X3))|~aNaturalNumber0(X1)|~aNaturalNumber0(X2)|~aNaturalNumber0(X3)),inference(csr,[status(thm)],[695,55])).
% cnf(22966,plain,(aNaturalNumber0(sdtasdt0(X1,sdtpldt0(X2,X3)))|~aNaturalNumber0(X1)|~aNaturalNumber0(X2)|~aNaturalNumber0(X3)),inference(csr,[status(thm)],[22965,55])).
% cnf(22968,negated_conjecture,(aNaturalNumber0(sdtasdt0(X1,xm))|~aNaturalNumber0(X1)|~aNaturalNumber0(sz10)|~aNaturalNumber0(esk4_2(sz10,xm))),inference(spm,[status(thm)],[22966,2288,theory(equality)])).
% cnf(23019,negated_conjecture,(aNaturalNumber0(sdtasdt0(X1,xm))|~aNaturalNumber0(X1)|$false|~aNaturalNumber0(esk4_2(sz10,xm))),inference(rw,[status(thm)],[22968,208,theory(equality)])).
% cnf(23020,negated_conjecture,(aNaturalNumber0(sdtasdt0(X1,xm))|~aNaturalNumber0(X1)|$false|$false),inference(rw,[status(thm)],[23019,2285,theory(equality)])).
% cnf(23021,negated_conjecture,(aNaturalNumber0(sdtasdt0(X1,xm))|~aNaturalNumber0(X1)),inference(cn,[status(thm)],[23020,theory(equality)])).
% cnf(23135,negated_conjecture,(aNaturalNumber0(sdtasdt0(xm,X1))|~aNaturalNumber0(X1)|~aNaturalNumber0(xm)),inference(spm,[status(thm)],[23021,58,theory(equality)])).
% cnf(23154,negated_conjecture,(aNaturalNumber0(sdtasdt0(xm,X1))|~aNaturalNumber0(X1)|$false),inference(rw,[status(thm)],[23135,135,theory(equality)])).
% cnf(23155,negated_conjecture,(aNaturalNumber0(sdtasdt0(xm,X1))|~aNaturalNumber0(X1)),inference(cn,[status(thm)],[23154,theory(equality)])).
% cnf(24622,plain,(sdtasdt0(xn,xn)=sdtmndt0(sdtasdt0(xn,xn),sz00)|~aNaturalNumber0(sdtmndt0(sdtasdt0(xn,xn),sz00))),inference(spm,[status(thm)],[194,19701,theory(equality)])).
% cnf(24687,plain,(sdtasdt0(xn,xn)=sdtmndt0(sdtasdt0(xn,xn),sz00)|$false),inference(rw,[status(thm)],[24622,14438,theory(equality)])).
% cnf(24688,plain,(sdtasdt0(xn,xn)=sdtmndt0(sdtasdt0(xn,xn),sz00)),inference(cn,[status(thm)],[24687,theory(equality)])).
% cnf(24702,plain,(aNaturalNumber0(X1)|sdtasdt0(xn,xn)!=X1|~sdtlseqdt0(sz00,sdtasdt0(xn,xn))|~aNaturalNumber0(sz00)|~aNaturalNumber0(sdtasdt0(xn,xn))),inference(spm,[status(thm)],[238,24688,theory(equality)])).
% cnf(24709,plain,(aNaturalNumber0(X1)|sdtasdt0(xn,xn)!=X1|$false|~aNaturalNumber0(sz00)|~aNaturalNumber0(sdtasdt0(xn,xn))),inference(rw,[status(thm)],[24702,5812,theory(equality)])).
% cnf(24710,plain,(aNaturalNumber0(X1)|sdtasdt0(xn,xn)!=X1|$false|$false|~aNaturalNumber0(sdtasdt0(xn,xn))),inference(rw,[status(thm)],[24709,52,theory(equality)])).
% cnf(24711,plain,(aNaturalNumber0(X1)|sdtasdt0(xn,xn)!=X1|$false|$false|$false),inference(rw,[status(thm)],[24710,1142,theory(equality)])).
% cnf(24712,plain,(aNaturalNumber0(X1)|sdtasdt0(xn,xn)!=X1),inference(cn,[status(thm)],[24711,theory(equality)])).
% cnf(26376,plain,(sdtpldt0(sz00,xm)=sdtasdt0(xm,sdtpldt0(sz00,sz10))|~aNaturalNumber0(xm)|~aNaturalNumber0(sz00)),inference(spm,[status(thm)],[728,16327,theory(equality)])).
% cnf(26450,plain,(xm=sdtasdt0(xm,sdtpldt0(sz00,sz10))|~aNaturalNumber0(xm)|~aNaturalNumber0(sz00)),inference(rw,[status(thm)],[26376,1974,theory(equality)])).
% cnf(26451,plain,(xm=sdtasdt0(xm,sdtpldt0(sz00,sz10))|$false|~aNaturalNumber0(sz00)),inference(rw,[status(thm)],[26450,135,theory(equality)])).
% cnf(26452,plain,(xm=sdtasdt0(xm,sdtpldt0(sz00,sz10))|$false|$false),inference(rw,[status(thm)],[26451,52,theory(equality)])).
% cnf(26453,plain,(xm=sdtasdt0(xm,sdtpldt0(sz00,sz10))),inference(cn,[status(thm)],[26452,theory(equality)])).
% cnf(26623,plain,(sdtasdt0(xm,sz10)=xm|~aNaturalNumber0(sz10)),inference(spm,[status(thm)],[26453,194,theory(equality)])).
% cnf(26746,plain,(sdtasdt0(xm,sz10)=xm|$false),inference(rw,[status(thm)],[26623,208,theory(equality)])).
% cnf(26747,plain,(sdtasdt0(xm,sz10)=xm),inference(cn,[status(thm)],[26746,theory(equality)])).
% cnf(26780,plain,(sz00=sz10|sdtlseqdt0(sdtasdt0(X1,xm),sdtasdt0(X1,xm))|~aNaturalNumber0(sz10)|~aNaturalNumber0(xm)|~aNaturalNumber0(X1)),inference(spm,[status(thm)],[6056,26747,theory(equality)])).
% cnf(26908,plain,(sz00=sz10|sdtlseqdt0(sdtasdt0(X1,xm),sdtasdt0(X1,xm))|$false|~aNaturalNumber0(xm)|~aNaturalNumber0(X1)),inference(rw,[status(thm)],[26780,208,theory(equality)])).
% cnf(26909,plain,(sz00=sz10|sdtlseqdt0(sdtasdt0(X1,xm),sdtasdt0(X1,xm))|$false|$false|~aNaturalNumber0(X1)),inference(rw,[status(thm)],[26908,135,theory(equality)])).
% cnf(26910,plain,(sz00=sz10|sdtlseqdt0(sdtasdt0(X1,xm),sdtasdt0(X1,xm))|~aNaturalNumber0(X1)),inference(cn,[status(thm)],[26909,theory(equality)])).
% cnf(26911,plain,(sdtlseqdt0(sdtasdt0(X1,xm),sdtasdt0(X1,xm))|~aNaturalNumber0(X1)),inference(sr,[status(thm)],[26910,207,theory(equality)])).
% cnf(33205,negated_conjecture,(sdtlseqdt0(sdtasdt0(xm,xn),sdtasdt0(xn,xn))|xm=xn|sz00=xm|~aNaturalNumber0(sdtasdt0(xm,xn))|~aNaturalNumber0(xm)),inference(spm,[status(thm)],[2764,752,theory(equality)])).
% cnf(33220,negated_conjecture,(sdtlseqdt0(sdtasdt0(xm,xn),sdtasdt0(xn,xn))|xm=xn|sz00=xm|~aNaturalNumber0(sdtasdt0(xm,xn))|$false),inference(rw,[status(thm)],[33205,135,theory(equality)])).
% cnf(33221,negated_conjecture,(sdtlseqdt0(sdtasdt0(xm,xn),sdtasdt0(xn,xn))|xm=xn|sz00=xm|~aNaturalNumber0(sdtasdt0(xm,xn))),inference(cn,[status(thm)],[33220,theory(equality)])).
% cnf(33222,negated_conjecture,(sdtlseqdt0(sdtasdt0(xm,xn),sdtasdt0(xn,xn))|xm=xn|~aNaturalNumber0(sdtasdt0(xm,xn))),inference(sr,[status(thm)],[33221,132,theory(equality)])).
% cnf(36598,plain,(sdtsldt0(X1,xp)=sdtasdt0(xm,xm)|sdtasdt0(xn,xn)!=X1|$false|~aNaturalNumber0(X1)),inference(rw,[status(thm)],[781,2018,theory(equality)])).
% cnf(36599,plain,(sdtsldt0(X1,xp)=sdtasdt0(xm,xm)|sdtasdt0(xn,xn)!=X1|~aNaturalNumber0(X1)),inference(cn,[status(thm)],[36598,theory(equality)])).
% cnf(36600,plain,(sdtsldt0(X1,xp)=sdtasdt0(xm,xm)|sdtasdt0(xn,xn)!=X1),inference(csr,[status(thm)],[36599,24712])).
% cnf(36601,plain,(sdtsldt0(sdtasdt0(xn,xn),xp)=sdtasdt0(xm,xm)),inference(er,[status(thm)],[36600,theory(equality)])).
% cnf(40026,plain,(sdtlseqdt0(sdtasdt0(xm,X1),sdtasdt0(xm,X1))|~aNaturalNumber0(X1)|~aNaturalNumber0(xm)),inference(spm,[status(thm)],[26911,58,theory(equality)])).
% cnf(40061,plain,(sdtlseqdt0(sdtasdt0(xm,X1),sdtasdt0(xm,X1))|~aNaturalNumber0(X1)|$false),inference(rw,[status(thm)],[40026,135,theory(equality)])).
% cnf(40062,plain,(sdtlseqdt0(sdtasdt0(xm,X1),sdtasdt0(xm,X1))|~aNaturalNumber0(X1)),inference(cn,[status(thm)],[40061,theory(equality)])).
% cnf(41394,negated_conjecture,(xm=xn|sdtlseqdt0(sdtasdt0(xm,xn),sdtasdt0(xn,xn))|~aNaturalNumber0(xn)|~aNaturalNumber0(xm)),inference(spm,[status(thm)],[33222,55,theory(equality)])).
% cnf(41403,negated_conjecture,(xm=xn|sdtlseqdt0(sdtasdt0(xm,xn),sdtasdt0(xn,xn))|$false|~aNaturalNumber0(xm)),inference(rw,[status(thm)],[41394,136,theory(equality)])).
% cnf(41404,negated_conjecture,(xm=xn|sdtlseqdt0(sdtasdt0(xm,xn),sdtasdt0(xn,xn))|$false|$false),inference(rw,[status(thm)],[41403,135,theory(equality)])).
% cnf(41405,negated_conjecture,(xm=xn|sdtlseqdt0(sdtasdt0(xm,xn),sdtasdt0(xn,xn))),inference(cn,[status(thm)],[41404,theory(equality)])).
% cnf(41619,negated_conjecture,(xm=xn|sdtlseqdt0(sdtasdt0(xn,xm),sdtasdt0(xn,xn))|~aNaturalNumber0(xm)|~aNaturalNumber0(xn)),inference(spm,[status(thm)],[41405,58,theory(equality)])).
% cnf(41651,negated_conjecture,(xm=xn|sdtlseqdt0(sdtasdt0(xn,xm),sdtasdt0(xn,xn))|$false|~aNaturalNumber0(xn)),inference(rw,[status(thm)],[41619,135,theory(equality)])).
% cnf(41652,negated_conjecture,(xm=xn|sdtlseqdt0(sdtasdt0(xn,xm),sdtasdt0(xn,xn))|$false|$false),inference(rw,[status(thm)],[41651,136,theory(equality)])).
% cnf(41653,negated_conjecture,(xm=xn|sdtlseqdt0(sdtasdt0(xn,xm),sdtasdt0(xn,xn))),inference(cn,[status(thm)],[41652,theory(equality)])).
% cnf(66651,plain,(doDivides0(xp,sdtpldt0(xp,xn))|~aNaturalNumber0(xp)),inference(spm,[status(thm)],[911,545,theory(equality)])).
% cnf(66661,plain,(doDivides0(xp,sdtpldt0(xp,xn))|$false),inference(rw,[status(thm)],[66651,134,theory(equality)])).
% cnf(66662,plain,(doDivides0(xp,sdtpldt0(xp,xn))),inference(cn,[status(thm)],[66661,theory(equality)])).
% cnf(66829,plain,(doDivides0(xp,sdtpldt0(xn,xp))|~aNaturalNumber0(xp)|~aNaturalNumber0(xn)),inference(spm,[status(thm)],[66662,221,theory(equality)])).
% cnf(66856,plain,(doDivides0(xp,sdtpldt0(xn,xp))|$false|~aNaturalNumber0(xn)),inference(rw,[status(thm)],[66829,134,theory(equality)])).
% cnf(66857,plain,(doDivides0(xp,sdtpldt0(xn,xp))|$false|$false),inference(rw,[status(thm)],[66856,136,theory(equality)])).
% cnf(66858,plain,(doDivides0(xp,sdtpldt0(xn,xp))),inference(cn,[status(thm)],[66857,theory(equality)])).
% cnf(67198,plain,(doDivides0(xp,xp)|~doDivides0(xp,xn)|~aNaturalNumber0(xn)|~aNaturalNumber0(xp)),inference(spm,[status(thm)],[206,66858,theory(equality)])).
% cnf(67222,plain,(doDivides0(xp,xp)|$false|~aNaturalNumber0(xn)|~aNaturalNumber0(xp)),inference(rw,[status(thm)],[67198,142,theory(equality)])).
% cnf(67223,plain,(doDivides0(xp,xp)|$false|$false|~aNaturalNumber0(xp)),inference(rw,[status(thm)],[67222,136,theory(equality)])).
% cnf(67224,plain,(doDivides0(xp,xp)|$false|$false|$false),inference(rw,[status(thm)],[67223,134,theory(equality)])).
% cnf(67225,plain,(doDivides0(xp,xp)),inference(cn,[status(thm)],[67224,theory(equality)])).
% cnf(67574,plain,(aNaturalNumber0(esk1_2(xp,xp))|~aNaturalNumber0(xp)),inference(spm,[status(thm)],[109,67225,theory(equality)])).
% cnf(67575,plain,(sdtasdt0(xp,esk1_2(xp,xp))=xp|~aNaturalNumber0(xp)),inference(spm,[status(thm)],[108,67225,theory(equality)])).
% cnf(67576,plain,(sz00=xp|aNaturalNumber0(sdtsldt0(xp,xp))|~aNaturalNumber0(xp)),inference(spm,[status(thm)],[684,67225,theory(equality)])).
% cnf(67577,plain,(sdtasdt0(xp,sdtsldt0(xp,xp))=xp|sz00=xp|~aNaturalNumber0(xp)),inference(spm,[status(thm)],[799,67225,theory(equality)])).
% cnf(67588,plain,(aNaturalNumber0(esk1_2(xp,xp))|$false),inference(rw,[status(thm)],[67574,134,theory(equality)])).
% cnf(67589,plain,(aNaturalNumber0(esk1_2(xp,xp))),inference(cn,[status(thm)],[67588,theory(equality)])).
% cnf(67590,plain,(sdtasdt0(xp,esk1_2(xp,xp))=xp|$false),inference(rw,[status(thm)],[67575,134,theory(equality)])).
% cnf(67591,plain,(sdtasdt0(xp,esk1_2(xp,xp))=xp),inference(cn,[status(thm)],[67590,theory(equality)])).
% cnf(67592,plain,(sz00=xp|aNaturalNumber0(sdtsldt0(xp,xp))|$false),inference(rw,[status(thm)],[67576,134,theory(equality)])).
% cnf(67593,plain,(sz00=xp|aNaturalNumber0(sdtsldt0(xp,xp))),inference(cn,[status(thm)],[67592,theory(equality)])).
% cnf(67594,plain,(aNaturalNumber0(sdtsldt0(xp,xp))),inference(sr,[status(thm)],[67593,131,theory(equality)])).
% cnf(67595,plain,(sdtasdt0(xp,sdtsldt0(xp,xp))=xp|sz00=xp|$false),inference(rw,[status(thm)],[67577,134,theory(equality)])).
% cnf(67596,plain,(sdtasdt0(xp,sdtsldt0(xp,xp))=xp|sz00=xp),inference(cn,[status(thm)],[67595,theory(equality)])).
% cnf(67597,plain,(sdtasdt0(xp,sdtsldt0(xp,xp))=xp),inference(sr,[status(thm)],[67596,131,theory(equality)])).
% cnf(67997,plain,(esk1_2(xp,xp)=sz10|sz00=xp|~aNaturalNumber0(esk1_2(xp,xp))|~aNaturalNumber0(xp)),inference(spm,[status(thm)],[615,67591,theory(equality)])).
% cnf(68092,plain,(esk1_2(xp,xp)=sz10|sz00=xp|$false|~aNaturalNumber0(xp)),inference(rw,[status(thm)],[67997,67589,theory(equality)])).
% cnf(68093,plain,(esk1_2(xp,xp)=sz10|sz00=xp|$false|$false),inference(rw,[status(thm)],[68092,134,theory(equality)])).
% cnf(68094,plain,(esk1_2(xp,xp)=sz10|sz00=xp),inference(cn,[status(thm)],[68093,theory(equality)])).
% cnf(68095,plain,(esk1_2(xp,xp)=sz10),inference(sr,[status(thm)],[68094,131,theory(equality)])).
% cnf(68353,plain,(sdtasdt0(xp,sz10)=xp),inference(rw,[status(thm)],[67591,68095,theory(equality)])).
% cnf(68358,plain,(sdtasdt0(sz10,xp)=xp|~aNaturalNumber0(xp)|~aNaturalNumber0(sz10)),inference(spm,[status(thm)],[58,68353,theory(equality)])).
% cnf(68453,plain,(sdtasdt0(sz10,xp)=xp|$false|~aNaturalNumber0(sz10)),inference(rw,[status(thm)],[68358,134,theory(equality)])).
% cnf(68454,plain,(sdtasdt0(sz10,xp)=xp|$false|$false),inference(rw,[status(thm)],[68453,208,theory(equality)])).
% cnf(68455,plain,(sdtasdt0(sz10,xp)=xp),inference(cn,[status(thm)],[68454,theory(equality)])).
% cnf(69948,plain,(sdtsldt0(xp,xp)=sz10|sz00=xp|~aNaturalNumber0(sdtsldt0(xp,xp))|~aNaturalNumber0(xp)),inference(spm,[status(thm)],[615,67597,theory(equality)])).
% cnf(70044,plain,(sdtsldt0(xp,xp)=sz10|sz00=xp|$false|~aNaturalNumber0(xp)),inference(rw,[status(thm)],[69948,67594,theory(equality)])).
% cnf(70045,plain,(sdtsldt0(xp,xp)=sz10|sz00=xp|$false|$false),inference(rw,[status(thm)],[70044,134,theory(equality)])).
% cnf(70046,plain,(sdtsldt0(xp,xp)=sz10|sz00=xp),inference(cn,[status(thm)],[70045,theory(equality)])).
% cnf(70047,plain,(sdtsldt0(xp,xp)=sz10),inference(sr,[status(thm)],[70046,131,theory(equality)])).
% cnf(75074,plain,(sdtasdt0(xn,xq)=sdtasdt0(xm,xm)|~aNaturalNumber0(xn)),inference(spm,[status(thm)],[36601,964,theory(equality)])).
% cnf(75097,plain,(sdtasdt0(xn,xq)=sdtasdt0(xm,xm)|$false),inference(rw,[status(thm)],[75074,136,theory(equality)])).
% cnf(75098,plain,(sdtasdt0(xn,xq)=sdtasdt0(xm,xm)),inference(cn,[status(thm)],[75097,theory(equality)])).
% cnf(75435,negated_conjecture,(~sdtlseqdt0(sdtasdt0(xn,xn),sdtasdt0(xn,xq))),inference(rw,[status(thm)],[240,75098,theory(equality)])).
% cnf(97355,plain,(sdtasdt0(X1,sdtasdt0(xp,xq))=sdtasdt0(xn,X1)|~aNaturalNumber0(X1)|~aNaturalNumber0(xq)|~aNaturalNumber0(xp)),inference(spm,[status(thm)],[5632,1262,theory(equality)])).
% cnf(97623,plain,(sdtasdt0(X1,xn)=sdtasdt0(xn,X1)|~aNaturalNumber0(X1)|~aNaturalNumber0(xq)|~aNaturalNumber0(xp)),inference(rw,[status(thm)],[97355,1225,theory(equality)])).
% cnf(97624,plain,(sdtasdt0(X1,xn)=sdtasdt0(xn,X1)|~aNaturalNumber0(X1)|$false|~aNaturalNumber0(xp)),inference(rw,[status(thm)],[97623,1021,theory(equality)])).
% cnf(97625,plain,(sdtasdt0(X1,xn)=sdtasdt0(xn,X1)|~aNaturalNumber0(X1)|$false|$false),inference(rw,[status(thm)],[97624,134,theory(equality)])).
% cnf(97626,plain,(sdtasdt0(X1,xn)=sdtasdt0(xn,X1)|~aNaturalNumber0(X1)),inference(cn,[status(thm)],[97625,theory(equality)])).
% cnf(97713,negated_conjecture,(xm=xn|sz00=xn|sdtlseqdt0(sdtasdt0(xn,xn),sdtasdt0(xn,xm))|~aNaturalNumber0(xn)),inference(spm,[status(thm)],[752,97626,theory(equality)])).
% cnf(98040,plain,(sdtlseqdt0(sdtasdt0(xn,xm),sdtasdt0(xn,xm))|~aNaturalNumber0(xn)|~aNaturalNumber0(xm)),inference(spm,[status(thm)],[40062,97626,theory(equality)])).
% cnf(98042,negated_conjecture,(aNaturalNumber0(sdtasdt0(xn,xm))|~aNaturalNumber0(xn)|~aNaturalNumber0(xm)),inference(spm,[status(thm)],[23155,97626,theory(equality)])).
% cnf(98388,negated_conjecture,(xm=xn|sz00=xn|sdtlseqdt0(sdtasdt0(xn,xn),sdtasdt0(xn,xm))|$false),inference(rw,[status(thm)],[97713,136,theory(equality)])).
% cnf(98389,negated_conjecture,(xm=xn|sz00=xn|sdtlseqdt0(sdtasdt0(xn,xn),sdtasdt0(xn,xm))),inference(cn,[status(thm)],[98388,theory(equality)])).
% cnf(98390,negated_conjecture,(xm=xn|sdtlseqdt0(sdtasdt0(xn,xn),sdtasdt0(xn,xm))),inference(sr,[status(thm)],[98389,133,theory(equality)])).
% cnf(99169,plain,(sdtlseqdt0(sdtasdt0(xn,xm),sdtasdt0(xn,xm))|$false|~aNaturalNumber0(xm)),inference(rw,[status(thm)],[98040,136,theory(equality)])).
% cnf(99170,plain,(sdtlseqdt0(sdtasdt0(xn,xm),sdtasdt0(xn,xm))|$false|$false),inference(rw,[status(thm)],[99169,135,theory(equality)])).
% cnf(99171,plain,(sdtlseqdt0(sdtasdt0(xn,xm),sdtasdt0(xn,xm))),inference(cn,[status(thm)],[99170,theory(equality)])).
% cnf(99176,negated_conjecture,(aNaturalNumber0(sdtasdt0(xn,xm))|$false|~aNaturalNumber0(xm)),inference(rw,[status(thm)],[98042,136,theory(equality)])).
% cnf(99177,negated_conjecture,(aNaturalNumber0(sdtasdt0(xn,xm))|$false|$false),inference(rw,[status(thm)],[99176,135,theory(equality)])).
% cnf(99178,negated_conjecture,(aNaturalNumber0(sdtasdt0(xn,xm))),inference(cn,[status(thm)],[99177,theory(equality)])).
% cnf(100481,plain,(aNaturalNumber0(esk4_2(sdtasdt0(xn,xm),sdtasdt0(xn,xm)))|~aNaturalNumber0(sdtasdt0(xn,xm))),inference(spm,[status(thm)],[176,99171,theory(equality)])).
% cnf(100482,plain,(sdtpldt0(sdtasdt0(xn,xm),esk4_2(sdtasdt0(xn,xm),sdtasdt0(xn,xm)))=sdtasdt0(xn,xm)|~aNaturalNumber0(sdtasdt0(xn,xm))),inference(spm,[status(thm)],[175,99171,theory(equality)])).
% cnf(100489,plain,(aNaturalNumber0(esk4_2(sdtasdt0(xn,xm),sdtasdt0(xn,xm)))|$false),inference(rw,[status(thm)],[100481,99178,theory(equality)])).
% cnf(100490,plain,(aNaturalNumber0(esk4_2(sdtasdt0(xn,xm),sdtasdt0(xn,xm)))),inference(cn,[status(thm)],[100489,theory(equality)])).
% cnf(100491,plain,(sdtpldt0(sdtasdt0(xn,xm),esk4_2(sdtasdt0(xn,xm),sdtasdt0(xn,xm)))=sdtasdt0(xn,xm)|$false),inference(rw,[status(thm)],[100482,99178,theory(equality)])).
% cnf(100492,plain,(sdtpldt0(sdtasdt0(xn,xm),esk4_2(sdtasdt0(xn,xm),sdtasdt0(xn,xm)))=sdtasdt0(xn,xm)),inference(cn,[status(thm)],[100491,theory(equality)])).
% cnf(100540,negated_conjecture,(sdtasdt0(xn,xm)=sdtasdt0(xn,xn)|xm=xn|~sdtlseqdt0(sdtasdt0(xn,xm),sdtasdt0(xn,xn))|~aNaturalNumber0(sdtasdt0(xn,xn))|~aNaturalNumber0(sdtasdt0(xn,xm))),inference(spm,[status(thm)],[81,98390,theory(equality)])).
% cnf(100557,negated_conjecture,(sdtasdt0(xn,xm)=sdtasdt0(xn,xn)|xm=xn|~sdtlseqdt0(sdtasdt0(xn,xm),sdtasdt0(xn,xn))|$false|~aNaturalNumber0(sdtasdt0(xn,xm))),inference(rw,[status(thm)],[100540,1142,theory(equality)])).
% cnf(100558,negated_conjecture,(sdtasdt0(xn,xm)=sdtasdt0(xn,xn)|xm=xn|~sdtlseqdt0(sdtasdt0(xn,xm),sdtasdt0(xn,xn))|$false|$false),inference(rw,[status(thm)],[100557,99178,theory(equality)])).
% cnf(100559,negated_conjecture,(sdtasdt0(xn,xm)=sdtasdt0(xn,xn)|xm=xn|~sdtlseqdt0(sdtasdt0(xn,xm),sdtasdt0(xn,xn))),inference(cn,[status(thm)],[100558,theory(equality)])).
% cnf(106394,plain,(sdtsldt0(xp,xp)=sdtasdt0(sz10,sdtsldt0(xp,xp))|sz00=xp|~aNaturalNumber0(sz10)|~aNaturalNumber0(xp)),inference(spm,[status(thm)],[1543,68455,theory(equality)])).
% cnf(106500,plain,(sz10=sdtasdt0(sz10,sdtsldt0(xp,xp))|sz00=xp|~aNaturalNumber0(sz10)|~aNaturalNumber0(xp)),inference(rw,[status(thm)],[106394,70047,theory(equality)])).
% cnf(106501,plain,(sz10=sdtasdt0(sz10,sz10)|sz00=xp|~aNaturalNumber0(sz10)|~aNaturalNumber0(xp)),inference(rw,[status(thm)],[106500,70047,theory(equality)])).
% cnf(106502,plain,(sz10=sdtasdt0(sz10,sz10)|sz00=xp|$false|~aNaturalNumber0(xp)),inference(rw,[status(thm)],[106501,208,theory(equality)])).
% cnf(106503,plain,(sz10=sdtasdt0(sz10,sz10)|sz00=xp|$false|$false),inference(rw,[status(thm)],[106502,134,theory(equality)])).
% cnf(106504,plain,(sz10=sdtasdt0(sz10,sz10)|sz00=xp),inference(cn,[status(thm)],[106503,theory(equality)])).
% cnf(106505,plain,(sdtasdt0(sz10,sz10)=sz10),inference(sr,[status(thm)],[106504,131,theory(equality)])).
% cnf(106684,plain,(sz00=sz10|sdtlseqdt0(sz10,sz10)|~aNaturalNumber0(sz10)),inference(spm,[status(thm)],[99,106505,theory(equality)])).
% cnf(106687,plain,(sz00=sz10|aNaturalNumber0(esk4_2(sz10,sz10))|~aNaturalNumber0(sz10)),inference(spm,[status(thm)],[4316,106505,theory(equality)])).
% cnf(106790,plain,(sz00=sz10|sdtlseqdt0(sz10,sz10)|$false),inference(rw,[status(thm)],[106684,208,theory(equality)])).
% cnf(106791,plain,(sz00=sz10|sdtlseqdt0(sz10,sz10)),inference(cn,[status(thm)],[106790,theory(equality)])).
% cnf(106792,plain,(sdtlseqdt0(sz10,sz10)),inference(sr,[status(thm)],[106791,207,theory(equality)])).
% cnf(106800,plain,(sz00=sz10|aNaturalNumber0(esk4_2(sz10,sz10))|$false),inference(rw,[status(thm)],[106687,208,theory(equality)])).
% cnf(106801,plain,(sz00=sz10|aNaturalNumber0(esk4_2(sz10,sz10))),inference(cn,[status(thm)],[106800,theory(equality)])).
% cnf(106802,plain,(aNaturalNumber0(esk4_2(sz10,sz10))),inference(sr,[status(thm)],[106801,207,theory(equality)])).
% cnf(107025,plain,(sdtpldt0(sz10,esk4_2(sz10,sz10))=sz10|~aNaturalNumber0(sz10)),inference(spm,[status(thm)],[175,106792,theory(equality)])).
% cnf(107039,plain,(sdtpldt0(sz10,esk4_2(sz10,sz10))=sz10|$false),inference(rw,[status(thm)],[107025,208,theory(equality)])).
% cnf(107040,plain,(sdtpldt0(sz10,esk4_2(sz10,sz10))=sz10),inference(cn,[status(thm)],[107039,theory(equality)])).
% cnf(111058,plain,(esk4_2(sz10,sz10)=sz00|~aNaturalNumber0(sz10)|~aNaturalNumber0(esk4_2(sz10,sz10))),inference(spm,[status(thm)],[662,107040,theory(equality)])).
% cnf(111119,plain,(esk4_2(sz10,sz10)=sz00|$false|~aNaturalNumber0(esk4_2(sz10,sz10))),inference(rw,[status(thm)],[111058,208,theory(equality)])).
% cnf(111120,plain,(esk4_2(sz10,sz10)=sz00|$false|$false),inference(rw,[status(thm)],[111119,106802,theory(equality)])).
% cnf(111121,plain,(esk4_2(sz10,sz10)=sz00),inference(cn,[status(thm)],[111120,theory(equality)])).
% cnf(111298,plain,(sdtpldt0(sz10,sz00)=sz10),inference(rw,[status(thm)],[107040,111121,theory(equality)])).
% cnf(120235,plain,(esk4_2(sdtasdt0(xn,xm),sdtasdt0(xn,xm))=sz00|~aNaturalNumber0(sdtasdt0(xn,xm))|~aNaturalNumber0(esk4_2(sdtasdt0(xn,xm),sdtasdt0(xn,xm)))),inference(spm,[status(thm)],[662,100492,theory(equality)])).
% cnf(120312,plain,(esk4_2(sdtasdt0(xn,xm),sdtasdt0(xn,xm))=sz00|$false|~aNaturalNumber0(esk4_2(sdtasdt0(xn,xm),sdtasdt0(xn,xm)))),inference(rw,[status(thm)],[120235,99178,theory(equality)])).
% cnf(120313,plain,(esk4_2(sdtasdt0(xn,xm),sdtasdt0(xn,xm))=sz00|$false|$false),inference(rw,[status(thm)],[120312,100490,theory(equality)])).
% cnf(120314,plain,(esk4_2(sdtasdt0(xn,xm),sdtasdt0(xn,xm))=sz00),inference(cn,[status(thm)],[120313,theory(equality)])).
% cnf(120543,plain,(sdtpldt0(sdtasdt0(xn,xm),sz00)=sdtasdt0(xn,xm)),inference(rw,[status(thm)],[100492,120314,theory(equality)])).
% cnf(120615,plain,(sdtpldt0(sz00,sdtasdt0(sz00,sz00))=sdtasdt0(sdtasdt0(xn,xm),sz00)|~aNaturalNumber0(sdtasdt0(xn,xm))|~aNaturalNumber0(sz00)),inference(spm,[status(thm)],[859,120543,theory(equality)])).
% cnf(120694,plain,(sz00=sdtasdt0(sdtasdt0(xn,xm),sz00)|~aNaturalNumber0(sdtasdt0(xn,xm))|~aNaturalNumber0(sz00)),inference(rw,[status(thm)],[inference(rw,[status(thm)],[120615,8351,theory(equality)]),10932,theory(equality)])).
% cnf(120695,plain,(sz00=sdtasdt0(sdtasdt0(xn,xm),sz00)|$false|~aNaturalNumber0(sz00)),inference(rw,[status(thm)],[120694,99178,theory(equality)])).
% cnf(120696,plain,(sz00=sdtasdt0(sdtasdt0(xn,xm),sz00)|$false|$false),inference(rw,[status(thm)],[120695,52,theory(equality)])).
% cnf(120697,plain,(sz00=sdtasdt0(sdtasdt0(xn,xm),sz00)),inference(cn,[status(thm)],[120696,theory(equality)])).
% cnf(121625,plain,(sdtpldt0(sdtasdt0(xn,xm),sz00)=sdtasdt0(sdtasdt0(xn,xm),sdtpldt0(sz10,sz00))|~aNaturalNumber0(sdtasdt0(xn,xm))|~aNaturalNumber0(sz00)),inference(spm,[status(thm)],[740,120697,theory(equality)])).
% cnf(121757,plain,(sdtasdt0(xn,xm)=sdtasdt0(sdtasdt0(xn,xm),sdtpldt0(sz10,sz00))|~aNaturalNumber0(sdtasdt0(xn,xm))|~aNaturalNumber0(sz00)),inference(rw,[status(thm)],[121625,120543,theory(equality)])).
% cnf(121758,plain,(sdtasdt0(xn,xm)=sdtasdt0(sdtasdt0(xn,xm),sz10)|~aNaturalNumber0(sdtasdt0(xn,xm))|~aNaturalNumber0(sz00)),inference(rw,[status(thm)],[121757,111298,theory(equality)])).
% cnf(121759,plain,(sdtasdt0(xn,xm)=sdtasdt0(sdtasdt0(xn,xm),sz10)|$false|~aNaturalNumber0(sz00)),inference(rw,[status(thm)],[121758,99178,theory(equality)])).
% cnf(121760,plain,(sdtasdt0(xn,xm)=sdtasdt0(sdtasdt0(xn,xm),sz10)|$false|$false),inference(rw,[status(thm)],[121759,52,theory(equality)])).
% cnf(121761,plain,(sdtasdt0(xn,xm)=sdtasdt0(sdtasdt0(xn,xm),sz10)),inference(cn,[status(thm)],[121760,theory(equality)])).
% cnf(122891,plain,(sdtasdt0(xn,xm)=sdtasdt0(xm,sdtasdt0(xn,sz10))|~aNaturalNumber0(sz10)|~aNaturalNumber0(xn)|~aNaturalNumber0(xm)),inference(spm,[status(thm)],[473,121761,theory(equality)])).
% cnf(123246,plain,(sdtasdt0(xn,xm)=sdtasdt0(xm,xn)|~aNaturalNumber0(sz10)|~aNaturalNumber0(xn)|~aNaturalNumber0(xm)),inference(rw,[status(thm)],[122891,15576,theory(equality)])).
% cnf(123247,plain,(sdtasdt0(xn,xm)=sdtasdt0(xm,xn)|$false|~aNaturalNumber0(xn)|~aNaturalNumber0(xm)),inference(rw,[status(thm)],[123246,208,theory(equality)])).
% cnf(123248,plain,(sdtasdt0(xn,xm)=sdtasdt0(xm,xn)|$false|$false|~aNaturalNumber0(xm)),inference(rw,[status(thm)],[123247,136,theory(equality)])).
% cnf(123249,plain,(sdtasdt0(xn,xm)=sdtasdt0(xm,xn)|$false|$false|$false),inference(rw,[status(thm)],[123248,135,theory(equality)])).
% cnf(123250,plain,(sdtasdt0(xn,xm)=sdtasdt0(xm,xn)),inference(cn,[status(thm)],[123249,theory(equality)])).
% cnf(123379,plain,(xm=xn|sdtasdt0(xn,xm)!=sdtasdt0(xn,xn)|~aNaturalNumber0(xm)),inference(spm,[status(thm)],[14900,123250,theory(equality)])).
% cnf(123803,plain,(xm=xn|sdtasdt0(xn,xm)!=sdtasdt0(xn,xn)|$false),inference(rw,[status(thm)],[123379,135,theory(equality)])).
% cnf(123804,plain,(xm=xn|sdtasdt0(xn,xm)!=sdtasdt0(xn,xn)),inference(cn,[status(thm)],[123803,theory(equality)])).
% cnf(166424,negated_conjecture,(sdtasdt0(xn,xm)=sdtasdt0(xn,xn)|xm=xn),inference(csr,[status(thm)],[100559,41653])).
% cnf(166425,negated_conjecture,(xm=xn),inference(csr,[status(thm)],[166424,123804])).
% cnf(166715,plain,(sdtasdt0(xn,xn)=sdtasdt0(xn,xq)),inference(rw,[status(thm)],[inference(rw,[status(thm)],[75098,166425,theory(equality)]),166425,theory(equality)])).
% cnf(167390,negated_conjecture,($false),inference(rw,[status(thm)],[inference(rw,[status(thm)],[75435,166715,theory(equality)]),7583,theory(equality)])).
% cnf(167391,negated_conjecture,($false),inference(cn,[status(thm)],[167390,theory(equality)])).
% cnf(167392,negated_conjecture,($false),167391,['proof']).
% # SZS output end CNFRefutation
% # Processed clauses : 4496
% # ...of these trivial : 331
% # ...subsumed : 1974
% # ...remaining for further processing: 2191
% # Other redundant clauses eliminated : 73
% # Clauses deleted for lack of memory : 0
% # Backward-subsumed : 109
% # Backward-rewritten : 1080
% # Generated clauses : 50069
% # ...of the previous two non-trivial : 41728
% # Contextual simplify-reflections : 421
% # Paramodulations : 49806
% # Factorizations : 12
% # Equation resolutions : 251
% # Current number of processed clauses: 923
% # Positive orientable unit clauses: 344
% # Positive unorientable unit clauses: 0
% # Negative unit clauses : 35
% # Non-unit-clauses : 544
% # Current number of unprocessed clauses: 18217
% # ...number of literals in the above : 90282
% # Clause-clause subsumption calls (NU) : 23221
% # Rec. Clause-clause subsumption calls : 13940
% # Unit Clause-clause subsumption calls : 494
% # Rewrite failures with RHS unbound : 0
% # Indexed BW rewrite attempts : 695
% # Indexed BW rewrite successes : 164
% # Backwards rewriting index: 799 leaves, 1.30+/-1.079 terms/leaf
% # Paramod-from index: 530 leaves, 1.17+/-0.575 terms/leaf
% # Paramod-into index: 737 leaves, 1.26+/-0.946 terms/leaf
% # -------------------------------------------------
% # User time : 2.427 s
% # System time : 0.091 s
% # Total time : 2.518 s
% # Maximum resident set size: 0 pages
% PrfWatch: 4.75 CPU 5.23 WC
% FINAL PrfWatch: 4.75 CPU 5.23 WC
% SZS output end Solution for /tmp/SystemOnTPTP16919/NUM527+1.tptp
%
%------------------------------------------------------------------------------