TSTP Solution File: NUM494+1 by SRASS---0.1

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SRASS---0.1
% Problem  : NUM494+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 : art02.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 19:34:01 EST 2010

% Result   : Theorem 6.02s
% Output   : Solution 6.02s
% 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/SystemOnTPTP30239/NUM494+1.tptp
% Adding relevance values
% Extracting the conjecture
% Sorting axioms by relevance
% Looking for THM       ... 
% found
% SZS status THM for /tmp/SystemOnTPTP30239/NUM494+1.tptp
% SZS output start Solution for /tmp/SystemOnTPTP30239/NUM494+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 30335
% TreeLimitedRun: ----------------------------------------------------------
% PrfWatch: 0.00 CPU 0.01 WC
% PrfWatch: 1.93 CPU 2.01 WC
% # Preprocessing time     : 0.019 s
% # Problem is unsatisfiable (or provable), constructing proof object
% # SZS status Theorem
% PrfWatch: 3.70 CPU 4.02 WC
% # SZS output start CNFRefutation.
% fof(1, axiom,![X1]:![X2]:((aNaturalNumber0(X1)&aNaturalNumber0(X2))=>aNaturalNumber0(sdtpldt0(X1,X2))),file('/tmp/SRASS.s.p', mSortsB)).
% fof(2, axiom,![X1]:![X2]:((aNaturalNumber0(X1)&aNaturalNumber0(X2))=>aNaturalNumber0(sdtasdt0(X1,X2))),file('/tmp/SRASS.s.p', mSortsB_02)).
% fof(3, axiom,![X1]:![X2]:((aNaturalNumber0(X1)&aNaturalNumber0(X2))=>sdtpldt0(X1,X2)=sdtpldt0(X2,X1)),file('/tmp/SRASS.s.p', mAddComm)).
% fof(4, axiom,![X1]:![X2]:![X3]:(((aNaturalNumber0(X1)&aNaturalNumber0(X2))&aNaturalNumber0(X3))=>sdtpldt0(sdtpldt0(X1,X2),X3)=sdtpldt0(X1,sdtpldt0(X2,X3))),file('/tmp/SRASS.s.p', mAddAsso)).
% fof(5, axiom,![X1]:![X2]:((aNaturalNumber0(X1)&aNaturalNumber0(X2))=>sdtasdt0(X1,X2)=sdtasdt0(X2,X1)),file('/tmp/SRASS.s.p', mMulComm)).
% fof(6, axiom,![X1]:![X2]:![X3]:(((aNaturalNumber0(X1)&aNaturalNumber0(X2))&aNaturalNumber0(X3))=>sdtasdt0(sdtasdt0(X1,X2),X3)=sdtasdt0(X1,sdtasdt0(X2,X3))),file('/tmp/SRASS.s.p', mMulAsso)).
% fof(7, axiom,![X1]:![X2]:![X3]:(((aNaturalNumber0(X1)&aNaturalNumber0(X2))&aNaturalNumber0(X3))=>(sdtasdt0(X1,sdtpldt0(X2,X3))=sdtpldt0(sdtasdt0(X1,X2),sdtasdt0(X1,X3))&sdtasdt0(sdtpldt0(X2,X3),X1)=sdtpldt0(sdtasdt0(X2,X1),sdtasdt0(X3,X1)))),file('/tmp/SRASS.s.p', mAMDistr)).
% fof(8, axiom,![X1]:![X2]:![X3]:(((aNaturalNumber0(X1)&aNaturalNumber0(X2))&aNaturalNumber0(X3))=>((sdtpldt0(X1,X2)=sdtpldt0(X1,X3)|sdtpldt0(X2,X1)=sdtpldt0(X3,X1))=>X2=X3)),file('/tmp/SRASS.s.p', mAddCanc)).
% fof(9, axiom,![X1]:![X2]:((aNaturalNumber0(X1)&aNaturalNumber0(X2))=>(sdtlseqdt0(X1,X2)<=>?[X3]:(aNaturalNumber0(X3)&sdtpldt0(X1,X3)=X2))),file('/tmp/SRASS.s.p', mDefLE)).
% fof(10, axiom,![X1]:![X2]:((aNaturalNumber0(X1)&aNaturalNumber0(X2))=>(sdtlseqdt0(X1,X2)=>![X3]:(X3=sdtmndt0(X2,X1)<=>(aNaturalNumber0(X3)&sdtpldt0(X1,X3)=X2)))),file('/tmp/SRASS.s.p', mDefDiff)).
% fof(11, axiom,![X1]:(aNaturalNumber0(X1)=>sdtlseqdt0(X1,X1)),file('/tmp/SRASS.s.p', mLERefl)).
% fof(13, axiom,![X1]:![X2]:![X3]:(((aNaturalNumber0(X1)&aNaturalNumber0(X2))&aNaturalNumber0(X3))=>((sdtlseqdt0(X1,X2)&sdtlseqdt0(X2,X3))=>sdtlseqdt0(X1,X3))),file('/tmp/SRASS.s.p', mLETran)).
% fof(15, axiom,![X1]:![X2]:((aNaturalNumber0(X1)&aNaturalNumber0(X2))=>((~(X1=X2)&sdtlseqdt0(X1,X2))=>![X3]:(aNaturalNumber0(X3)=>(((~(sdtpldt0(X3,X1)=sdtpldt0(X3,X2))&sdtlseqdt0(sdtpldt0(X3,X1),sdtpldt0(X3,X2)))&~(sdtpldt0(X1,X3)=sdtpldt0(X2,X3)))&sdtlseqdt0(sdtpldt0(X1,X3),sdtpldt0(X2,X3)))))),file('/tmp/SRASS.s.p', mMonAdd)).
% fof(17, axiom,![X1]:![X2]:((aNaturalNumber0(X1)&aNaturalNumber0(X2))=>(doDivides0(X1,X2)<=>?[X3]:(aNaturalNumber0(X3)&X2=sdtasdt0(X1,X3)))),file('/tmp/SRASS.s.p', mDefDiv)).
% fof(20, axiom,![X1]:![X2]:![X3]:(((aNaturalNumber0(X1)&aNaturalNumber0(X2))&aNaturalNumber0(X3))=>((doDivides0(X1,X2)&doDivides0(X1,sdtpldt0(X2,X3)))=>doDivides0(X1,X3))),file('/tmp/SRASS.s.p', mDivMin)).
% fof(21, axiom,((aNaturalNumber0(xn)&aNaturalNumber0(xm))&aNaturalNumber0(xp)),file('/tmp/SRASS.s.p', m__1837)).
% fof(24, axiom,sdtlseqdt0(xp,xn),file('/tmp/SRASS.s.p', m__1870)).
% fof(25, axiom,xr=sdtmndt0(xn,xp),file('/tmp/SRASS.s.p', m__1883)).
% fof(26, axiom,(~(xr=xn)&sdtlseqdt0(xr,xn)),file('/tmp/SRASS.s.p', m__1894)).
% fof(30, axiom,![X1]:![X2]:((aNaturalNumber0(X1)&aNaturalNumber0(X2))=>(~(X1=sz00)=>sdtlseqdt0(X2,sdtasdt0(X2,X1)))),file('/tmp/SRASS.s.p', mMonMul2)).
% fof(31, axiom,![X1]:(aNaturalNumber0(X1)=>(sdtpldt0(X1,sz00)=X1&X1=sdtpldt0(sz00,X1))),file('/tmp/SRASS.s.p', m_AddZero)).
% fof(35, axiom,![X1]:![X2]:((aNaturalNumber0(X1)&aNaturalNumber0(X2))=>(sdtasdt0(X1,X2)=sz00=>(X1=sz00|X2=sz00))),file('/tmp/SRASS.s.p', mZeroMul)).
% fof(40, axiom,![X1]:(aNaturalNumber0(X1)=>(sdtasdt0(X1,sz10)=X1&X1=sdtasdt0(sz10,X1))),file('/tmp/SRASS.s.p', m_MulUnit)).
% fof(42, axiom,aNaturalNumber0(sz00),file('/tmp/SRASS.s.p', mSortsC)).
% fof(43, axiom,(aNaturalNumber0(sz10)&~(sz10=sz00)),file('/tmp/SRASS.s.p', mSortsC_01)).
% fof(46, conjecture,(~(sdtpldt0(sdtpldt0(xr,xm),xp)=sdtpldt0(sdtpldt0(xn,xm),xp))&sdtlseqdt0(sdtpldt0(sdtpldt0(xr,xm),xp),sdtpldt0(sdtpldt0(xn,xm),xp))),file('/tmp/SRASS.s.p', m__)).
% fof(47, negated_conjecture,~((~(sdtpldt0(sdtpldt0(xr,xm),xp)=sdtpldt0(sdtpldt0(xn,xm),xp))&sdtlseqdt0(sdtpldt0(sdtpldt0(xr,xm),xp),sdtpldt0(sdtpldt0(xn,xm),xp)))),inference(assume_negation,[status(cth)],[46])).
% fof(50, plain,![X1]:![X2]:((~(aNaturalNumber0(X1))|~(aNaturalNumber0(X2)))|aNaturalNumber0(sdtpldt0(X1,X2))),inference(fof_nnf,[status(thm)],[1])).
% fof(51, plain,![X3]:![X4]:((~(aNaturalNumber0(X3))|~(aNaturalNumber0(X4)))|aNaturalNumber0(sdtpldt0(X3,X4))),inference(variable_rename,[status(thm)],[50])).
% cnf(52,plain,(aNaturalNumber0(sdtpldt0(X1,X2))|~aNaturalNumber0(X2)|~aNaturalNumber0(X1)),inference(split_conjunct,[status(thm)],[51])).
% fof(53, plain,![X1]:![X2]:((~(aNaturalNumber0(X1))|~(aNaturalNumber0(X2)))|aNaturalNumber0(sdtasdt0(X1,X2))),inference(fof_nnf,[status(thm)],[2])).
% fof(54, plain,![X3]:![X4]:((~(aNaturalNumber0(X3))|~(aNaturalNumber0(X4)))|aNaturalNumber0(sdtasdt0(X3,X4))),inference(variable_rename,[status(thm)],[53])).
% cnf(55,plain,(aNaturalNumber0(sdtasdt0(X1,X2))|~aNaturalNumber0(X2)|~aNaturalNumber0(X1)),inference(split_conjunct,[status(thm)],[54])).
% fof(56, plain,![X1]:![X2]:((~(aNaturalNumber0(X1))|~(aNaturalNumber0(X2)))|sdtpldt0(X1,X2)=sdtpldt0(X2,X1)),inference(fof_nnf,[status(thm)],[3])).
% fof(57, plain,![X3]:![X4]:((~(aNaturalNumber0(X3))|~(aNaturalNumber0(X4)))|sdtpldt0(X3,X4)=sdtpldt0(X4,X3)),inference(variable_rename,[status(thm)],[56])).
% cnf(58,plain,(sdtpldt0(X1,X2)=sdtpldt0(X2,X1)|~aNaturalNumber0(X2)|~aNaturalNumber0(X1)),inference(split_conjunct,[status(thm)],[57])).
% fof(59, plain,![X1]:![X2]:![X3]:(((~(aNaturalNumber0(X1))|~(aNaturalNumber0(X2)))|~(aNaturalNumber0(X3)))|sdtpldt0(sdtpldt0(X1,X2),X3)=sdtpldt0(X1,sdtpldt0(X2,X3))),inference(fof_nnf,[status(thm)],[4])).
% fof(60, plain,![X4]:![X5]:![X6]:(((~(aNaturalNumber0(X4))|~(aNaturalNumber0(X5)))|~(aNaturalNumber0(X6)))|sdtpldt0(sdtpldt0(X4,X5),X6)=sdtpldt0(X4,sdtpldt0(X5,X6))),inference(variable_rename,[status(thm)],[59])).
% cnf(61,plain,(sdtpldt0(sdtpldt0(X1,X2),X3)=sdtpldt0(X1,sdtpldt0(X2,X3))|~aNaturalNumber0(X3)|~aNaturalNumber0(X2)|~aNaturalNumber0(X1)),inference(split_conjunct,[status(thm)],[60])).
% fof(62, plain,![X1]:![X2]:((~(aNaturalNumber0(X1))|~(aNaturalNumber0(X2)))|sdtasdt0(X1,X2)=sdtasdt0(X2,X1)),inference(fof_nnf,[status(thm)],[5])).
% fof(63, plain,![X3]:![X4]:((~(aNaturalNumber0(X3))|~(aNaturalNumber0(X4)))|sdtasdt0(X3,X4)=sdtasdt0(X4,X3)),inference(variable_rename,[status(thm)],[62])).
% cnf(64,plain,(sdtasdt0(X1,X2)=sdtasdt0(X2,X1)|~aNaturalNumber0(X2)|~aNaturalNumber0(X1)),inference(split_conjunct,[status(thm)],[63])).
% fof(65, plain,![X1]:![X2]:![X3]:(((~(aNaturalNumber0(X1))|~(aNaturalNumber0(X2)))|~(aNaturalNumber0(X3)))|sdtasdt0(sdtasdt0(X1,X2),X3)=sdtasdt0(X1,sdtasdt0(X2,X3))),inference(fof_nnf,[status(thm)],[6])).
% fof(66, plain,![X4]:![X5]:![X6]:(((~(aNaturalNumber0(X4))|~(aNaturalNumber0(X5)))|~(aNaturalNumber0(X6)))|sdtasdt0(sdtasdt0(X4,X5),X6)=sdtasdt0(X4,sdtasdt0(X5,X6))),inference(variable_rename,[status(thm)],[65])).
% cnf(67,plain,(sdtasdt0(sdtasdt0(X1,X2),X3)=sdtasdt0(X1,sdtasdt0(X2,X3))|~aNaturalNumber0(X3)|~aNaturalNumber0(X2)|~aNaturalNumber0(X1)),inference(split_conjunct,[status(thm)],[66])).
% fof(68, plain,![X1]:![X2]:![X3]:(((~(aNaturalNumber0(X1))|~(aNaturalNumber0(X2)))|~(aNaturalNumber0(X3)))|(sdtasdt0(X1,sdtpldt0(X2,X3))=sdtpldt0(sdtasdt0(X1,X2),sdtasdt0(X1,X3))&sdtasdt0(sdtpldt0(X2,X3),X1)=sdtpldt0(sdtasdt0(X2,X1),sdtasdt0(X3,X1)))),inference(fof_nnf,[status(thm)],[7])).
% fof(69, plain,![X4]:![X5]:![X6]:(((~(aNaturalNumber0(X4))|~(aNaturalNumber0(X5)))|~(aNaturalNumber0(X6)))|(sdtasdt0(X4,sdtpldt0(X5,X6))=sdtpldt0(sdtasdt0(X4,X5),sdtasdt0(X4,X6))&sdtasdt0(sdtpldt0(X5,X6),X4)=sdtpldt0(sdtasdt0(X5,X4),sdtasdt0(X6,X4)))),inference(variable_rename,[status(thm)],[68])).
% fof(70, plain,![X4]:![X5]:![X6]:((sdtasdt0(X4,sdtpldt0(X5,X6))=sdtpldt0(sdtasdt0(X4,X5),sdtasdt0(X4,X6))|((~(aNaturalNumber0(X4))|~(aNaturalNumber0(X5)))|~(aNaturalNumber0(X6))))&(sdtasdt0(sdtpldt0(X5,X6),X4)=sdtpldt0(sdtasdt0(X5,X4),sdtasdt0(X6,X4))|((~(aNaturalNumber0(X4))|~(aNaturalNumber0(X5)))|~(aNaturalNumber0(X6))))),inference(distribute,[status(thm)],[69])).
% cnf(72,plain,(sdtasdt0(X3,sdtpldt0(X2,X1))=sdtpldt0(sdtasdt0(X3,X2),sdtasdt0(X3,X1))|~aNaturalNumber0(X1)|~aNaturalNumber0(X2)|~aNaturalNumber0(X3)),inference(split_conjunct,[status(thm)],[70])).
% fof(73, plain,![X1]:![X2]:![X3]:(((~(aNaturalNumber0(X1))|~(aNaturalNumber0(X2)))|~(aNaturalNumber0(X3)))|((~(sdtpldt0(X1,X2)=sdtpldt0(X1,X3))&~(sdtpldt0(X2,X1)=sdtpldt0(X3,X1)))|X2=X3)),inference(fof_nnf,[status(thm)],[8])).
% fof(74, plain,![X4]:![X5]:![X6]:(((~(aNaturalNumber0(X4))|~(aNaturalNumber0(X5)))|~(aNaturalNumber0(X6)))|((~(sdtpldt0(X4,X5)=sdtpldt0(X4,X6))&~(sdtpldt0(X5,X4)=sdtpldt0(X6,X4)))|X5=X6)),inference(variable_rename,[status(thm)],[73])).
% fof(75, plain,![X4]:![X5]:![X6]:(((~(sdtpldt0(X4,X5)=sdtpldt0(X4,X6))|X5=X6)|((~(aNaturalNumber0(X4))|~(aNaturalNumber0(X5)))|~(aNaturalNumber0(X6))))&((~(sdtpldt0(X5,X4)=sdtpldt0(X6,X4))|X5=X6)|((~(aNaturalNumber0(X4))|~(aNaturalNumber0(X5)))|~(aNaturalNumber0(X6))))),inference(distribute,[status(thm)],[74])).
% cnf(76,plain,(X2=X1|~aNaturalNumber0(X1)|~aNaturalNumber0(X2)|~aNaturalNumber0(X3)|sdtpldt0(X2,X3)!=sdtpldt0(X1,X3)),inference(split_conjunct,[status(thm)],[75])).
% cnf(77,plain,(X2=X1|~aNaturalNumber0(X1)|~aNaturalNumber0(X2)|~aNaturalNumber0(X3)|sdtpldt0(X3,X2)!=sdtpldt0(X3,X1)),inference(split_conjunct,[status(thm)],[75])).
% fof(78, plain,![X1]:![X2]:((~(aNaturalNumber0(X1))|~(aNaturalNumber0(X2)))|((~(sdtlseqdt0(X1,X2))|?[X3]:(aNaturalNumber0(X3)&sdtpldt0(X1,X3)=X2))&(![X3]:(~(aNaturalNumber0(X3))|~(sdtpldt0(X1,X3)=X2))|sdtlseqdt0(X1,X2)))),inference(fof_nnf,[status(thm)],[9])).
% fof(79, plain,![X4]:![X5]:((~(aNaturalNumber0(X4))|~(aNaturalNumber0(X5)))|((~(sdtlseqdt0(X4,X5))|?[X6]:(aNaturalNumber0(X6)&sdtpldt0(X4,X6)=X5))&(![X7]:(~(aNaturalNumber0(X7))|~(sdtpldt0(X4,X7)=X5))|sdtlseqdt0(X4,X5)))),inference(variable_rename,[status(thm)],[78])).
% fof(80, plain,![X4]:![X5]:((~(aNaturalNumber0(X4))|~(aNaturalNumber0(X5)))|((~(sdtlseqdt0(X4,X5))|(aNaturalNumber0(esk1_2(X4,X5))&sdtpldt0(X4,esk1_2(X4,X5))=X5))&(![X7]:(~(aNaturalNumber0(X7))|~(sdtpldt0(X4,X7)=X5))|sdtlseqdt0(X4,X5)))),inference(skolemize,[status(esa)],[79])).
% fof(81, plain,![X4]:![X5]:![X7]:((((~(aNaturalNumber0(X7))|~(sdtpldt0(X4,X7)=X5))|sdtlseqdt0(X4,X5))&(~(sdtlseqdt0(X4,X5))|(aNaturalNumber0(esk1_2(X4,X5))&sdtpldt0(X4,esk1_2(X4,X5))=X5)))|(~(aNaturalNumber0(X4))|~(aNaturalNumber0(X5)))),inference(shift_quantors,[status(thm)],[80])).
% fof(82, plain,![X4]:![X5]:![X7]:((((~(aNaturalNumber0(X7))|~(sdtpldt0(X4,X7)=X5))|sdtlseqdt0(X4,X5))|(~(aNaturalNumber0(X4))|~(aNaturalNumber0(X5))))&(((aNaturalNumber0(esk1_2(X4,X5))|~(sdtlseqdt0(X4,X5)))|(~(aNaturalNumber0(X4))|~(aNaturalNumber0(X5))))&((sdtpldt0(X4,esk1_2(X4,X5))=X5|~(sdtlseqdt0(X4,X5)))|(~(aNaturalNumber0(X4))|~(aNaturalNumber0(X5)))))),inference(distribute,[status(thm)],[81])).
% cnf(83,plain,(sdtpldt0(X2,esk1_2(X2,X1))=X1|~aNaturalNumber0(X1)|~aNaturalNumber0(X2)|~sdtlseqdt0(X2,X1)),inference(split_conjunct,[status(thm)],[82])).
% cnf(84,plain,(aNaturalNumber0(esk1_2(X2,X1))|~aNaturalNumber0(X1)|~aNaturalNumber0(X2)|~sdtlseqdt0(X2,X1)),inference(split_conjunct,[status(thm)],[82])).
% cnf(85,plain,(sdtlseqdt0(X2,X1)|~aNaturalNumber0(X1)|~aNaturalNumber0(X2)|sdtpldt0(X2,X3)!=X1|~aNaturalNumber0(X3)),inference(split_conjunct,[status(thm)],[82])).
% fof(86, plain,![X1]:![X2]:((~(aNaturalNumber0(X1))|~(aNaturalNumber0(X2)))|(~(sdtlseqdt0(X1,X2))|![X3]:((~(X3=sdtmndt0(X2,X1))|(aNaturalNumber0(X3)&sdtpldt0(X1,X3)=X2))&((~(aNaturalNumber0(X3))|~(sdtpldt0(X1,X3)=X2))|X3=sdtmndt0(X2,X1))))),inference(fof_nnf,[status(thm)],[10])).
% fof(87, plain,![X4]:![X5]:((~(aNaturalNumber0(X4))|~(aNaturalNumber0(X5)))|(~(sdtlseqdt0(X4,X5))|![X6]:((~(X6=sdtmndt0(X5,X4))|(aNaturalNumber0(X6)&sdtpldt0(X4,X6)=X5))&((~(aNaturalNumber0(X6))|~(sdtpldt0(X4,X6)=X5))|X6=sdtmndt0(X5,X4))))),inference(variable_rename,[status(thm)],[86])).
% fof(88, plain,![X4]:![X5]:![X6]:((((~(X6=sdtmndt0(X5,X4))|(aNaturalNumber0(X6)&sdtpldt0(X4,X6)=X5))&((~(aNaturalNumber0(X6))|~(sdtpldt0(X4,X6)=X5))|X6=sdtmndt0(X5,X4)))|~(sdtlseqdt0(X4,X5)))|(~(aNaturalNumber0(X4))|~(aNaturalNumber0(X5)))),inference(shift_quantors,[status(thm)],[87])).
% fof(89, plain,![X4]:![X5]:![X6]:(((((aNaturalNumber0(X6)|~(X6=sdtmndt0(X5,X4)))|~(sdtlseqdt0(X4,X5)))|(~(aNaturalNumber0(X4))|~(aNaturalNumber0(X5))))&(((sdtpldt0(X4,X6)=X5|~(X6=sdtmndt0(X5,X4)))|~(sdtlseqdt0(X4,X5)))|(~(aNaturalNumber0(X4))|~(aNaturalNumber0(X5)))))&((((~(aNaturalNumber0(X6))|~(sdtpldt0(X4,X6)=X5))|X6=sdtmndt0(X5,X4))|~(sdtlseqdt0(X4,X5)))|(~(aNaturalNumber0(X4))|~(aNaturalNumber0(X5))))),inference(distribute,[status(thm)],[88])).
% cnf(90,plain,(X3=sdtmndt0(X1,X2)|~aNaturalNumber0(X1)|~aNaturalNumber0(X2)|~sdtlseqdt0(X2,X1)|sdtpldt0(X2,X3)!=X1|~aNaturalNumber0(X3)),inference(split_conjunct,[status(thm)],[89])).
% cnf(91,plain,(sdtpldt0(X2,X3)=X1|~aNaturalNumber0(X1)|~aNaturalNumber0(X2)|~sdtlseqdt0(X2,X1)|X3!=sdtmndt0(X1,X2)),inference(split_conjunct,[status(thm)],[89])).
% cnf(92,plain,(aNaturalNumber0(X3)|~aNaturalNumber0(X1)|~aNaturalNumber0(X2)|~sdtlseqdt0(X2,X1)|X3!=sdtmndt0(X1,X2)),inference(split_conjunct,[status(thm)],[89])).
% fof(93, plain,![X1]:(~(aNaturalNumber0(X1))|sdtlseqdt0(X1,X1)),inference(fof_nnf,[status(thm)],[11])).
% fof(94, plain,![X2]:(~(aNaturalNumber0(X2))|sdtlseqdt0(X2,X2)),inference(variable_rename,[status(thm)],[93])).
% cnf(95,plain,(sdtlseqdt0(X1,X1)|~aNaturalNumber0(X1)),inference(split_conjunct,[status(thm)],[94])).
% fof(99, plain,![X1]:![X2]:![X3]:(((~(aNaturalNumber0(X1))|~(aNaturalNumber0(X2)))|~(aNaturalNumber0(X3)))|((~(sdtlseqdt0(X1,X2))|~(sdtlseqdt0(X2,X3)))|sdtlseqdt0(X1,X3))),inference(fof_nnf,[status(thm)],[13])).
% fof(100, plain,![X4]:![X5]:![X6]:(((~(aNaturalNumber0(X4))|~(aNaturalNumber0(X5)))|~(aNaturalNumber0(X6)))|((~(sdtlseqdt0(X4,X5))|~(sdtlseqdt0(X5,X6)))|sdtlseqdt0(X4,X6))),inference(variable_rename,[status(thm)],[99])).
% cnf(101,plain,(sdtlseqdt0(X1,X2)|~sdtlseqdt0(X3,X2)|~sdtlseqdt0(X1,X3)|~aNaturalNumber0(X2)|~aNaturalNumber0(X3)|~aNaturalNumber0(X1)),inference(split_conjunct,[status(thm)],[100])).
% fof(107, plain,![X1]:![X2]:((~(aNaturalNumber0(X1))|~(aNaturalNumber0(X2)))|((X1=X2|~(sdtlseqdt0(X1,X2)))|![X3]:(~(aNaturalNumber0(X3))|(((~(sdtpldt0(X3,X1)=sdtpldt0(X3,X2))&sdtlseqdt0(sdtpldt0(X3,X1),sdtpldt0(X3,X2)))&~(sdtpldt0(X1,X3)=sdtpldt0(X2,X3)))&sdtlseqdt0(sdtpldt0(X1,X3),sdtpldt0(X2,X3)))))),inference(fof_nnf,[status(thm)],[15])).
% fof(108, plain,![X4]:![X5]:((~(aNaturalNumber0(X4))|~(aNaturalNumber0(X5)))|((X4=X5|~(sdtlseqdt0(X4,X5)))|![X6]:(~(aNaturalNumber0(X6))|(((~(sdtpldt0(X6,X4)=sdtpldt0(X6,X5))&sdtlseqdt0(sdtpldt0(X6,X4),sdtpldt0(X6,X5)))&~(sdtpldt0(X4,X6)=sdtpldt0(X5,X6)))&sdtlseqdt0(sdtpldt0(X4,X6),sdtpldt0(X5,X6)))))),inference(variable_rename,[status(thm)],[107])).
% fof(109, plain,![X4]:![X5]:![X6]:(((~(aNaturalNumber0(X6))|(((~(sdtpldt0(X6,X4)=sdtpldt0(X6,X5))&sdtlseqdt0(sdtpldt0(X6,X4),sdtpldt0(X6,X5)))&~(sdtpldt0(X4,X6)=sdtpldt0(X5,X6)))&sdtlseqdt0(sdtpldt0(X4,X6),sdtpldt0(X5,X6))))|(X4=X5|~(sdtlseqdt0(X4,X5))))|(~(aNaturalNumber0(X4))|~(aNaturalNumber0(X5)))),inference(shift_quantors,[status(thm)],[108])).
% fof(110, plain,![X4]:![X5]:![X6]:((((((~(sdtpldt0(X6,X4)=sdtpldt0(X6,X5))|~(aNaturalNumber0(X6)))|(X4=X5|~(sdtlseqdt0(X4,X5))))|(~(aNaturalNumber0(X4))|~(aNaturalNumber0(X5))))&(((sdtlseqdt0(sdtpldt0(X6,X4),sdtpldt0(X6,X5))|~(aNaturalNumber0(X6)))|(X4=X5|~(sdtlseqdt0(X4,X5))))|(~(aNaturalNumber0(X4))|~(aNaturalNumber0(X5)))))&(((~(sdtpldt0(X4,X6)=sdtpldt0(X5,X6))|~(aNaturalNumber0(X6)))|(X4=X5|~(sdtlseqdt0(X4,X5))))|(~(aNaturalNumber0(X4))|~(aNaturalNumber0(X5)))))&(((sdtlseqdt0(sdtpldt0(X4,X6),sdtpldt0(X5,X6))|~(aNaturalNumber0(X6)))|(X4=X5|~(sdtlseqdt0(X4,X5))))|(~(aNaturalNumber0(X4))|~(aNaturalNumber0(X5))))),inference(distribute,[status(thm)],[109])).
% cnf(111,plain,(X2=X1|sdtlseqdt0(sdtpldt0(X2,X3),sdtpldt0(X1,X3))|~aNaturalNumber0(X1)|~aNaturalNumber0(X2)|~sdtlseqdt0(X2,X1)|~aNaturalNumber0(X3)),inference(split_conjunct,[status(thm)],[110])).
% cnf(113,plain,(X2=X1|sdtlseqdt0(sdtpldt0(X3,X2),sdtpldt0(X3,X1))|~aNaturalNumber0(X1)|~aNaturalNumber0(X2)|~sdtlseqdt0(X2,X1)|~aNaturalNumber0(X3)),inference(split_conjunct,[status(thm)],[110])).
% fof(118, plain,![X1]:![X2]:((~(aNaturalNumber0(X1))|~(aNaturalNumber0(X2)))|((~(doDivides0(X1,X2))|?[X3]:(aNaturalNumber0(X3)&X2=sdtasdt0(X1,X3)))&(![X3]:(~(aNaturalNumber0(X3))|~(X2=sdtasdt0(X1,X3)))|doDivides0(X1,X2)))),inference(fof_nnf,[status(thm)],[17])).
% fof(119, plain,![X4]:![X5]:((~(aNaturalNumber0(X4))|~(aNaturalNumber0(X5)))|((~(doDivides0(X4,X5))|?[X6]:(aNaturalNumber0(X6)&X5=sdtasdt0(X4,X6)))&(![X7]:(~(aNaturalNumber0(X7))|~(X5=sdtasdt0(X4,X7)))|doDivides0(X4,X5)))),inference(variable_rename,[status(thm)],[118])).
% fof(120, plain,![X4]:![X5]:((~(aNaturalNumber0(X4))|~(aNaturalNumber0(X5)))|((~(doDivides0(X4,X5))|(aNaturalNumber0(esk2_2(X4,X5))&X5=sdtasdt0(X4,esk2_2(X4,X5))))&(![X7]:(~(aNaturalNumber0(X7))|~(X5=sdtasdt0(X4,X7)))|doDivides0(X4,X5)))),inference(skolemize,[status(esa)],[119])).
% fof(121, plain,![X4]:![X5]:![X7]:((((~(aNaturalNumber0(X7))|~(X5=sdtasdt0(X4,X7)))|doDivides0(X4,X5))&(~(doDivides0(X4,X5))|(aNaturalNumber0(esk2_2(X4,X5))&X5=sdtasdt0(X4,esk2_2(X4,X5)))))|(~(aNaturalNumber0(X4))|~(aNaturalNumber0(X5)))),inference(shift_quantors,[status(thm)],[120])).
% fof(122, plain,![X4]:![X5]:![X7]:((((~(aNaturalNumber0(X7))|~(X5=sdtasdt0(X4,X7)))|doDivides0(X4,X5))|(~(aNaturalNumber0(X4))|~(aNaturalNumber0(X5))))&(((aNaturalNumber0(esk2_2(X4,X5))|~(doDivides0(X4,X5)))|(~(aNaturalNumber0(X4))|~(aNaturalNumber0(X5))))&((X5=sdtasdt0(X4,esk2_2(X4,X5))|~(doDivides0(X4,X5)))|(~(aNaturalNumber0(X4))|~(aNaturalNumber0(X5)))))),inference(distribute,[status(thm)],[121])).
% cnf(123,plain,(X1=sdtasdt0(X2,esk2_2(X2,X1))|~aNaturalNumber0(X1)|~aNaturalNumber0(X2)|~doDivides0(X2,X1)),inference(split_conjunct,[status(thm)],[122])).
% cnf(124,plain,(aNaturalNumber0(esk2_2(X2,X1))|~aNaturalNumber0(X1)|~aNaturalNumber0(X2)|~doDivides0(X2,X1)),inference(split_conjunct,[status(thm)],[122])).
% cnf(125,plain,(doDivides0(X2,X1)|~aNaturalNumber0(X1)|~aNaturalNumber0(X2)|X1!=sdtasdt0(X2,X3)|~aNaturalNumber0(X3)),inference(split_conjunct,[status(thm)],[122])).
% fof(132, plain,![X1]:![X2]:![X3]:(((~(aNaturalNumber0(X1))|~(aNaturalNumber0(X2)))|~(aNaturalNumber0(X3)))|((~(doDivides0(X1,X2))|~(doDivides0(X1,sdtpldt0(X2,X3))))|doDivides0(X1,X3))),inference(fof_nnf,[status(thm)],[20])).
% fof(133, plain,![X4]:![X5]:![X6]:(((~(aNaturalNumber0(X4))|~(aNaturalNumber0(X5)))|~(aNaturalNumber0(X6)))|((~(doDivides0(X4,X5))|~(doDivides0(X4,sdtpldt0(X5,X6))))|doDivides0(X4,X6))),inference(variable_rename,[status(thm)],[132])).
% cnf(134,plain,(doDivides0(X1,X2)|~doDivides0(X1,sdtpldt0(X3,X2))|~doDivides0(X1,X3)|~aNaturalNumber0(X2)|~aNaturalNumber0(X3)|~aNaturalNumber0(X1)),inference(split_conjunct,[status(thm)],[133])).
% cnf(135,plain,(aNaturalNumber0(xp)),inference(split_conjunct,[status(thm)],[21])).
% cnf(136,plain,(aNaturalNumber0(xm)),inference(split_conjunct,[status(thm)],[21])).
% cnf(137,plain,(aNaturalNumber0(xn)),inference(split_conjunct,[status(thm)],[21])).
% cnf(143,plain,(sdtlseqdt0(xp,xn)),inference(split_conjunct,[status(thm)],[24])).
% cnf(144,plain,(xr=sdtmndt0(xn,xp)),inference(split_conjunct,[status(thm)],[25])).
% cnf(145,plain,(sdtlseqdt0(xr,xn)),inference(split_conjunct,[status(thm)],[26])).
% cnf(146,plain,(xr!=xn),inference(split_conjunct,[status(thm)],[26])).
% fof(158, plain,![X1]:![X2]:((~(aNaturalNumber0(X1))|~(aNaturalNumber0(X2)))|(X1=sz00|sdtlseqdt0(X2,sdtasdt0(X2,X1)))),inference(fof_nnf,[status(thm)],[30])).
% fof(159, plain,![X3]:![X4]:((~(aNaturalNumber0(X3))|~(aNaturalNumber0(X4)))|(X3=sz00|sdtlseqdt0(X4,sdtasdt0(X4,X3)))),inference(variable_rename,[status(thm)],[158])).
% cnf(160,plain,(sdtlseqdt0(X1,sdtasdt0(X1,X2))|X2=sz00|~aNaturalNumber0(X1)|~aNaturalNumber0(X2)),inference(split_conjunct,[status(thm)],[159])).
% fof(161, plain,![X1]:(~(aNaturalNumber0(X1))|(sdtpldt0(X1,sz00)=X1&X1=sdtpldt0(sz00,X1))),inference(fof_nnf,[status(thm)],[31])).
% fof(162, plain,![X2]:(~(aNaturalNumber0(X2))|(sdtpldt0(X2,sz00)=X2&X2=sdtpldt0(sz00,X2))),inference(variable_rename,[status(thm)],[161])).
% fof(163, plain,![X2]:((sdtpldt0(X2,sz00)=X2|~(aNaturalNumber0(X2)))&(X2=sdtpldt0(sz00,X2)|~(aNaturalNumber0(X2)))),inference(distribute,[status(thm)],[162])).
% cnf(164,plain,(X1=sdtpldt0(sz00,X1)|~aNaturalNumber0(X1)),inference(split_conjunct,[status(thm)],[163])).
% cnf(165,plain,(sdtpldt0(X1,sz00)=X1|~aNaturalNumber0(X1)),inference(split_conjunct,[status(thm)],[163])).
% fof(182, plain,![X1]:![X2]:((~(aNaturalNumber0(X1))|~(aNaturalNumber0(X2)))|(~(sdtasdt0(X1,X2)=sz00)|(X1=sz00|X2=sz00))),inference(fof_nnf,[status(thm)],[35])).
% fof(183, plain,![X3]:![X4]:((~(aNaturalNumber0(X3))|~(aNaturalNumber0(X4)))|(~(sdtasdt0(X3,X4)=sz00)|(X3=sz00|X4=sz00))),inference(variable_rename,[status(thm)],[182])).
% cnf(184,plain,(X1=sz00|X2=sz00|sdtasdt0(X2,X1)!=sz00|~aNaturalNumber0(X1)|~aNaturalNumber0(X2)),inference(split_conjunct,[status(thm)],[183])).
% fof(215, plain,![X1]:(~(aNaturalNumber0(X1))|(sdtasdt0(X1,sz10)=X1&X1=sdtasdt0(sz10,X1))),inference(fof_nnf,[status(thm)],[40])).
% fof(216, plain,![X2]:(~(aNaturalNumber0(X2))|(sdtasdt0(X2,sz10)=X2&X2=sdtasdt0(sz10,X2))),inference(variable_rename,[status(thm)],[215])).
% fof(217, plain,![X2]:((sdtasdt0(X2,sz10)=X2|~(aNaturalNumber0(X2)))&(X2=sdtasdt0(sz10,X2)|~(aNaturalNumber0(X2)))),inference(distribute,[status(thm)],[216])).
% cnf(218,plain,(X1=sdtasdt0(sz10,X1)|~aNaturalNumber0(X1)),inference(split_conjunct,[status(thm)],[217])).
% cnf(222,plain,(aNaturalNumber0(sz00)),inference(split_conjunct,[status(thm)],[42])).
% cnf(223,plain,(sz10!=sz00),inference(split_conjunct,[status(thm)],[43])).
% cnf(224,plain,(aNaturalNumber0(sz10)),inference(split_conjunct,[status(thm)],[43])).
% fof(232, negated_conjecture,(sdtpldt0(sdtpldt0(xr,xm),xp)=sdtpldt0(sdtpldt0(xn,xm),xp)|~(sdtlseqdt0(sdtpldt0(sdtpldt0(xr,xm),xp),sdtpldt0(sdtpldt0(xn,xm),xp)))),inference(fof_nnf,[status(thm)],[47])).
% cnf(233,negated_conjecture,(sdtpldt0(sdtpldt0(xr,xm),xp)=sdtpldt0(sdtpldt0(xn,xm),xp)|~sdtlseqdt0(sdtpldt0(sdtpldt0(xr,xm),xp),sdtpldt0(sdtpldt0(xn,xm),xp))),inference(split_conjunct,[status(thm)],[232])).
% cnf(237,plain,(sdtmndt0(X1,X2)=X3|sdtpldt0(X2,X3)!=X1|~aNaturalNumber0(X3)|~aNaturalNumber0(X2)|~aNaturalNumber0(X1)),inference(csr,[status(thm)],[90,85])).
% cnf(272,negated_conjecture,(sdtpldt0(sdtpldt0(xm,xr),xp)=sdtpldt0(sdtpldt0(xn,xm),xp)|~sdtlseqdt0(sdtpldt0(sdtpldt0(xm,xr),xp),sdtpldt0(sdtpldt0(xn,xm),xp))|~aNaturalNumber0(xr)|~aNaturalNumber0(xm)),inference(spm,[status(thm)],[233,58,theory(equality)])).
% cnf(285,negated_conjecture,(sdtpldt0(sdtpldt0(xm,xr),xp)=sdtpldt0(sdtpldt0(xn,xm),xp)|~sdtlseqdt0(sdtpldt0(sdtpldt0(xm,xr),xp),sdtpldt0(sdtpldt0(xn,xm),xp))|~aNaturalNumber0(xr)|$false),inference(rw,[status(thm)],[272,136,theory(equality)])).
% cnf(286,negated_conjecture,(sdtpldt0(sdtpldt0(xm,xr),xp)=sdtpldt0(sdtpldt0(xn,xm),xp)|~sdtlseqdt0(sdtpldt0(sdtpldt0(xm,xr),xp),sdtpldt0(sdtpldt0(xn,xm),xp))|~aNaturalNumber0(xr)),inference(cn,[status(thm)],[285,theory(equality)])).
% cnf(362,plain,(sz00=X1|sdtlseqdt0(X2,sdtasdt0(X1,X2))|~aNaturalNumber0(X1)|~aNaturalNumber0(X2)),inference(spm,[status(thm)],[160,64,theory(equality)])).
% cnf(389,plain,(sdtpldt0(X1,esk1_2(X1,X1))=X1|~aNaturalNumber0(X1)),inference(spm,[status(thm)],[83,95,theory(equality)])).
% cnf(403,plain,(aNaturalNumber0(esk1_2(X1,X1))|~aNaturalNumber0(X1)),inference(spm,[status(thm)],[84,95,theory(equality)])).
% cnf(429,plain,(sdtlseqdt0(sz00,X1)|X2!=X1|~aNaturalNumber0(X2)|~aNaturalNumber0(sz00)|~aNaturalNumber0(X1)),inference(spm,[status(thm)],[85,164,theory(equality)])).
% cnf(431,plain,(sdtlseqdt0(X1,X2)|sdtpldt0(X3,X1)!=X2|~aNaturalNumber0(X3)|~aNaturalNumber0(X1)|~aNaturalNumber0(X2)),inference(spm,[status(thm)],[85,58,theory(equality)])).
% cnf(433,plain,(sdtlseqdt0(sz00,X1)|X2!=X1|~aNaturalNumber0(X2)|$false|~aNaturalNumber0(X1)),inference(rw,[status(thm)],[429,222,theory(equality)])).
% cnf(434,plain,(sdtlseqdt0(sz00,X1)|X2!=X1|~aNaturalNumber0(X2)|~aNaturalNumber0(X1)),inference(cn,[status(thm)],[433,theory(equality)])).
% cnf(435,plain,(sdtlseqdt0(sz00,X1)|~aNaturalNumber0(X1)),inference(er,[status(thm)],[434,theory(equality)])).
% cnf(448,plain,(X1=sz00|sdtpldt0(X2,X1)!=X2|~aNaturalNumber0(X2)|~aNaturalNumber0(sz00)|~aNaturalNumber0(X1)),inference(spm,[status(thm)],[77,165,theory(equality)])).
% cnf(449,plain,(X1=X2|sdtpldt0(X3,X1)!=sdtpldt0(X2,X3)|~aNaturalNumber0(X3)|~aNaturalNumber0(X2)|~aNaturalNumber0(X1)),inference(spm,[status(thm)],[77,58,theory(equality)])).
% cnf(457,plain,(X1=sz00|sdtpldt0(X2,X1)!=X2|~aNaturalNumber0(X2)|$false|~aNaturalNumber0(X1)),inference(rw,[status(thm)],[448,222,theory(equality)])).
% cnf(458,plain,(X1=sz00|sdtpldt0(X2,X1)!=X2|~aNaturalNumber0(X2)|~aNaturalNumber0(X1)),inference(cn,[status(thm)],[457,theory(equality)])).
% cnf(482,plain,(sdtpldt0(X1,sdtpldt0(X2,X3))=sdtpldt0(X2,sdtpldt0(X3,X1))|~aNaturalNumber0(sdtpldt0(X2,X3))|~aNaturalNumber0(X1)|~aNaturalNumber0(X3)|~aNaturalNumber0(X2)),inference(spm,[status(thm)],[58,61,theory(equality)])).
% cnf(485,plain,(aNaturalNumber0(sdtpldt0(X1,sdtpldt0(X2,X3)))|~aNaturalNumber0(X3)|~aNaturalNumber0(sdtpldt0(X1,X2))|~aNaturalNumber0(X2)|~aNaturalNumber0(X1)),inference(spm,[status(thm)],[52,61,theory(equality)])).
% cnf(487,plain,(X1=sdtpldt0(X2,X3)|sdtpldt0(X1,X4)!=sdtpldt0(X2,sdtpldt0(X3,X4))|~aNaturalNumber0(X4)|~aNaturalNumber0(sdtpldt0(X2,X3))|~aNaturalNumber0(X1)|~aNaturalNumber0(X3)|~aNaturalNumber0(X2)),inference(spm,[status(thm)],[76,61,theory(equality)])).
% cnf(494,plain,(sdtpldt0(X1,X2)=sdtpldt0(sz00,sdtpldt0(X1,X2))|~aNaturalNumber0(X2)|~aNaturalNumber0(X1)|~aNaturalNumber0(sz00)),inference(spm,[status(thm)],[61,164,theory(equality)])).
% cnf(496,plain,(sdtpldt0(sdtpldt0(X2,X1),X3)=sdtpldt0(X1,sdtpldt0(X2,X3))|~aNaturalNumber0(X3)|~aNaturalNumber0(X2)|~aNaturalNumber0(X1)),inference(spm,[status(thm)],[61,58,theory(equality)])).
% cnf(507,plain,(sdtpldt0(X1,X2)=sdtpldt0(sz00,sdtpldt0(X1,X2))|~aNaturalNumber0(X2)|~aNaturalNumber0(X1)|$false),inference(rw,[status(thm)],[494,222,theory(equality)])).
% cnf(508,plain,(sdtpldt0(X1,X2)=sdtpldt0(sz00,sdtpldt0(X1,X2))|~aNaturalNumber0(X2)|~aNaturalNumber0(X1)),inference(cn,[status(thm)],[507,theory(equality)])).
% cnf(511,plain,(aNaturalNumber0(sdtmndt0(X1,X2))|~sdtlseqdt0(X2,X1)|~aNaturalNumber0(X2)|~aNaturalNumber0(X1)),inference(er,[status(thm)],[92,theory(equality)])).
% cnf(512,plain,(aNaturalNumber0(X1)|xr!=X1|~sdtlseqdt0(xp,xn)|~aNaturalNumber0(xp)|~aNaturalNumber0(xn)),inference(spm,[status(thm)],[92,144,theory(equality)])).
% cnf(513,plain,(aNaturalNumber0(X1)|xr!=X1|$false|~aNaturalNumber0(xp)|~aNaturalNumber0(xn)),inference(rw,[status(thm)],[512,143,theory(equality)])).
% cnf(514,plain,(aNaturalNumber0(X1)|xr!=X1|$false|$false|~aNaturalNumber0(xn)),inference(rw,[status(thm)],[513,135,theory(equality)])).
% cnf(515,plain,(aNaturalNumber0(X1)|xr!=X1|$false|$false|$false),inference(rw,[status(thm)],[514,137,theory(equality)])).
% cnf(516,plain,(aNaturalNumber0(X1)|xr!=X1),inference(cn,[status(thm)],[515,theory(equality)])).
% cnf(519,plain,(sdtlseqdt0(X1,xn)|~sdtlseqdt0(X1,xp)|~aNaturalNumber0(xp)|~aNaturalNumber0(xn)|~aNaturalNumber0(X1)),inference(spm,[status(thm)],[101,143,theory(equality)])).
% cnf(528,plain,(sdtlseqdt0(X1,xn)|~sdtlseqdt0(X1,xp)|$false|~aNaturalNumber0(xn)|~aNaturalNumber0(X1)),inference(rw,[status(thm)],[519,135,theory(equality)])).
% cnf(529,plain,(sdtlseqdt0(X1,xn)|~sdtlseqdt0(X1,xp)|$false|$false|~aNaturalNumber0(X1)),inference(rw,[status(thm)],[528,137,theory(equality)])).
% cnf(530,plain,(sdtlseqdt0(X1,xn)|~sdtlseqdt0(X1,xp)|~aNaturalNumber0(X1)),inference(cn,[status(thm)],[529,theory(equality)])).
% cnf(541,plain,(doDivides0(X1,sdtasdt0(X1,X2))|~aNaturalNumber0(X2)|~aNaturalNumber0(X1)|~aNaturalNumber0(sdtasdt0(X1,X2))),inference(er,[status(thm)],[125,theory(equality)])).
% cnf(542,plain,(doDivides0(sz10,X1)|X2!=X1|~aNaturalNumber0(X2)|~aNaturalNumber0(sz10)|~aNaturalNumber0(X1)),inference(spm,[status(thm)],[125,218,theory(equality)])).
% cnf(548,plain,(doDivides0(sz10,X1)|X2!=X1|~aNaturalNumber0(X2)|$false|~aNaturalNumber0(X1)),inference(rw,[status(thm)],[542,224,theory(equality)])).
% cnf(549,plain,(doDivides0(sz10,X1)|X2!=X1|~aNaturalNumber0(X2)|~aNaturalNumber0(X1)),inference(cn,[status(thm)],[548,theory(equality)])).
% cnf(550,plain,(doDivides0(sz10,X1)|~aNaturalNumber0(X1)),inference(er,[status(thm)],[549,theory(equality)])).
% cnf(558,plain,(sdtpldt0(X1,sdtmndt0(X2,X1))=X2|~sdtlseqdt0(X1,X2)|~aNaturalNumber0(X1)|~aNaturalNumber0(X2)),inference(er,[status(thm)],[91,theory(equality)])).
% cnf(559,plain,(sdtpldt0(xp,X1)=xn|xr!=X1|~sdtlseqdt0(xp,xn)|~aNaturalNumber0(xp)|~aNaturalNumber0(xn)),inference(spm,[status(thm)],[91,144,theory(equality)])).
% cnf(560,plain,(sdtpldt0(xp,X1)=xn|xr!=X1|$false|~aNaturalNumber0(xp)|~aNaturalNumber0(xn)),inference(rw,[status(thm)],[559,143,theory(equality)])).
% cnf(561,plain,(sdtpldt0(xp,X1)=xn|xr!=X1|$false|$false|~aNaturalNumber0(xn)),inference(rw,[status(thm)],[560,135,theory(equality)])).
% cnf(562,plain,(sdtpldt0(xp,X1)=xn|xr!=X1|$false|$false|$false),inference(rw,[status(thm)],[561,137,theory(equality)])).
% cnf(563,plain,(sdtpldt0(xp,X1)=xn|xr!=X1),inference(cn,[status(thm)],[562,theory(equality)])).
% cnf(573,plain,(xn=xr|sdtlseqdt0(sdtpldt0(X1,xr),sdtpldt0(X1,xn))|~aNaturalNumber0(X1)|~aNaturalNumber0(xr)|~aNaturalNumber0(xn)),inference(spm,[status(thm)],[113,145,theory(equality)])).
% cnf(580,plain,(xn=xr|sdtlseqdt0(sdtpldt0(X1,xr),sdtpldt0(X1,xn))|~aNaturalNumber0(X1)|~aNaturalNumber0(xr)|$false),inference(rw,[status(thm)],[573,137,theory(equality)])).
% cnf(581,plain,(xn=xr|sdtlseqdt0(sdtpldt0(X1,xr),sdtpldt0(X1,xn))|~aNaturalNumber0(X1)|~aNaturalNumber0(xr)),inference(cn,[status(thm)],[580,theory(equality)])).
% cnf(582,plain,(sdtlseqdt0(sdtpldt0(X1,xr),sdtpldt0(X1,xn))|~aNaturalNumber0(X1)|~aNaturalNumber0(xr)),inference(sr,[status(thm)],[581,146,theory(equality)])).
% cnf(625,plain,(sdtmndt0(sdtpldt0(X1,X2),X1)=X2|~aNaturalNumber0(X2)|~aNaturalNumber0(X1)|~aNaturalNumber0(sdtpldt0(X1,X2))),inference(er,[status(thm)],[237,theory(equality)])).
% cnf(684,plain,(sdtasdt0(X1,X2)=sdtasdt0(sz10,sdtasdt0(X1,X2))|~aNaturalNumber0(X2)|~aNaturalNumber0(X1)|~aNaturalNumber0(sz10)),inference(spm,[status(thm)],[67,218,theory(equality)])).
% cnf(694,plain,(sdtasdt0(X1,X2)=sdtasdt0(sz10,sdtasdt0(X1,X2))|~aNaturalNumber0(X2)|~aNaturalNumber0(X1)|$false),inference(rw,[status(thm)],[684,224,theory(equality)])).
% cnf(695,plain,(sdtasdt0(X1,X2)=sdtasdt0(sz10,sdtasdt0(X1,X2))|~aNaturalNumber0(X2)|~aNaturalNumber0(X1)),inference(cn,[status(thm)],[694,theory(equality)])).
% cnf(734,plain,(sdtpldt0(sdtasdt0(sz10,X1),X2)=sdtasdt0(sz10,sdtpldt0(X1,X2))|~aNaturalNumber0(sz10)|~aNaturalNumber0(X1)|~aNaturalNumber0(X2)),inference(spm,[status(thm)],[72,218,theory(equality)])).
% cnf(748,plain,(sdtpldt0(sdtasdt0(sz10,X1),X2)=sdtasdt0(sz10,sdtpldt0(X1,X2))|$false|~aNaturalNumber0(X1)|~aNaturalNumber0(X2)),inference(rw,[status(thm)],[734,224,theory(equality)])).
% cnf(749,plain,(sdtpldt0(sdtasdt0(sz10,X1),X2)=sdtasdt0(sz10,sdtpldt0(X1,X2))|~aNaturalNumber0(X1)|~aNaturalNumber0(X2)),inference(cn,[status(thm)],[748,theory(equality)])).
% cnf(943,plain,(sdtpldt0(xp,xr)=xn),inference(er,[status(thm)],[563,theory(equality)])).
% cnf(947,plain,(sdtpldt0(xn,X1)=sdtpldt0(xp,sdtpldt0(xr,X1))|~aNaturalNumber0(X1)|~aNaturalNumber0(xr)|~aNaturalNumber0(xp)),inference(spm,[status(thm)],[61,943,theory(equality)])).
% cnf(952,plain,(doDivides0(X1,xr)|~doDivides0(X1,xn)|~doDivides0(X1,xp)|~aNaturalNumber0(xp)|~aNaturalNumber0(xr)|~aNaturalNumber0(X1)),inference(spm,[status(thm)],[134,943,theory(equality)])).
% cnf(962,plain,(sdtpldt0(xn,X1)=sdtpldt0(xp,sdtpldt0(xr,X1))|~aNaturalNumber0(X1)|~aNaturalNumber0(xr)|$false),inference(rw,[status(thm)],[947,135,theory(equality)])).
% cnf(963,plain,(sdtpldt0(xn,X1)=sdtpldt0(xp,sdtpldt0(xr,X1))|~aNaturalNumber0(X1)|~aNaturalNumber0(xr)),inference(cn,[status(thm)],[962,theory(equality)])).
% cnf(972,plain,(doDivides0(X1,xr)|~doDivides0(X1,xn)|~doDivides0(X1,xp)|$false|~aNaturalNumber0(xr)|~aNaturalNumber0(X1)),inference(rw,[status(thm)],[952,135,theory(equality)])).
% cnf(973,plain,(doDivides0(X1,xr)|~doDivides0(X1,xn)|~doDivides0(X1,xp)|~aNaturalNumber0(xr)|~aNaturalNumber0(X1)),inference(cn,[status(thm)],[972,theory(equality)])).
% cnf(978,plain,(aNaturalNumber0(xr)),inference(er,[status(thm)],[516,theory(equality)])).
% cnf(979,plain,(sdtlseqdt0(sdtpldt0(X1,xr),sdtpldt0(X1,xn))|$false|~aNaturalNumber0(X1)),inference(rw,[status(thm)],[582,978,theory(equality)])).
% cnf(980,plain,(sdtlseqdt0(sdtpldt0(X1,xr),sdtpldt0(X1,xn))|~aNaturalNumber0(X1)),inference(cn,[status(thm)],[979,theory(equality)])).
% cnf(996,plain,(sdtlseqdt0(sdtpldt0(X1,xr),sdtpldt0(xn,X1))|~aNaturalNumber0(X1)|~aNaturalNumber0(xn)),inference(spm,[status(thm)],[980,58,theory(equality)])).
% cnf(999,plain,(sdtlseqdt0(xn,sdtpldt0(xp,xn))|~aNaturalNumber0(xp)),inference(spm,[status(thm)],[980,943,theory(equality)])).
% cnf(1008,plain,(sdtlseqdt0(sdtpldt0(X1,xr),sdtpldt0(xn,X1))|~aNaturalNumber0(X1)|$false),inference(rw,[status(thm)],[996,137,theory(equality)])).
% cnf(1009,plain,(sdtlseqdt0(sdtpldt0(X1,xr),sdtpldt0(xn,X1))|~aNaturalNumber0(X1)),inference(cn,[status(thm)],[1008,theory(equality)])).
% cnf(1015,plain,(sdtlseqdt0(xn,sdtpldt0(xp,xn))|$false),inference(rw,[status(thm)],[999,135,theory(equality)])).
% cnf(1016,plain,(sdtlseqdt0(xn,sdtpldt0(xp,xn))),inference(cn,[status(thm)],[1015,theory(equality)])).
% cnf(1027,plain,(aNaturalNumber0(esk1_2(xn,sdtpldt0(xp,xn)))|~aNaturalNumber0(xn)|~aNaturalNumber0(sdtpldt0(xp,xn))),inference(spm,[status(thm)],[84,1016,theory(equality)])).
% cnf(1028,plain,(sdtpldt0(xn,esk1_2(xn,sdtpldt0(xp,xn)))=sdtpldt0(xp,xn)|~aNaturalNumber0(xn)|~aNaturalNumber0(sdtpldt0(xp,xn))),inference(spm,[status(thm)],[83,1016,theory(equality)])).
% cnf(1029,plain,(sdtlseqdt0(X1,sdtpldt0(xp,xn))|~sdtlseqdt0(X1,xn)|~aNaturalNumber0(xn)|~aNaturalNumber0(sdtpldt0(xp,xn))|~aNaturalNumber0(X1)),inference(spm,[status(thm)],[101,1016,theory(equality)])).
% cnf(1040,plain,(aNaturalNumber0(esk1_2(xn,sdtpldt0(xp,xn)))|$false|~aNaturalNumber0(sdtpldt0(xp,xn))),inference(rw,[status(thm)],[1027,137,theory(equality)])).
% cnf(1041,plain,(aNaturalNumber0(esk1_2(xn,sdtpldt0(xp,xn)))|~aNaturalNumber0(sdtpldt0(xp,xn))),inference(cn,[status(thm)],[1040,theory(equality)])).
% cnf(1042,plain,(sdtpldt0(xn,esk1_2(xn,sdtpldt0(xp,xn)))=sdtpldt0(xp,xn)|$false|~aNaturalNumber0(sdtpldt0(xp,xn))),inference(rw,[status(thm)],[1028,137,theory(equality)])).
% cnf(1043,plain,(sdtpldt0(xn,esk1_2(xn,sdtpldt0(xp,xn)))=sdtpldt0(xp,xn)|~aNaturalNumber0(sdtpldt0(xp,xn))),inference(cn,[status(thm)],[1042,theory(equality)])).
% cnf(1044,plain,(sdtlseqdt0(X1,sdtpldt0(xp,xn))|~sdtlseqdt0(X1,xn)|$false|~aNaturalNumber0(sdtpldt0(xp,xn))|~aNaturalNumber0(X1)),inference(rw,[status(thm)],[1029,137,theory(equality)])).
% cnf(1045,plain,(sdtlseqdt0(X1,sdtpldt0(xp,xn))|~sdtlseqdt0(X1,xn)|~aNaturalNumber0(sdtpldt0(xp,xn))|~aNaturalNumber0(X1)),inference(cn,[status(thm)],[1044,theory(equality)])).
% cnf(1155,plain,(sdtpldt0(xn,X1)=sdtpldt0(X1,xr)|sdtlseqdt0(sdtpldt0(sdtpldt0(X1,xr),X2),sdtpldt0(sdtpldt0(xn,X1),X2))|~aNaturalNumber0(X2)|~aNaturalNumber0(sdtpldt0(X1,xr))|~aNaturalNumber0(sdtpldt0(xn,X1))|~aNaturalNumber0(X1)),inference(spm,[status(thm)],[111,1009,theory(equality)])).
% cnf(1166,plain,(sdtlseqdt0(xn,sdtpldt0(xn,xp))|~aNaturalNumber0(xp)),inference(spm,[status(thm)],[1009,943,theory(equality)])).
% cnf(1168,plain,(sdtlseqdt0(sdtpldt0(xr,X1),sdtpldt0(xn,X1))|~aNaturalNumber0(X1)|~aNaturalNumber0(xr)),inference(spm,[status(thm)],[1009,58,theory(equality)])).
% cnf(1181,plain,(sdtlseqdt0(xn,sdtpldt0(xn,xp))|$false),inference(rw,[status(thm)],[1166,135,theory(equality)])).
% cnf(1182,plain,(sdtlseqdt0(xn,sdtpldt0(xn,xp))),inference(cn,[status(thm)],[1181,theory(equality)])).
% cnf(1185,plain,(sdtlseqdt0(sdtpldt0(xr,X1),sdtpldt0(xn,X1))|~aNaturalNumber0(X1)|$false),inference(rw,[status(thm)],[1168,978,theory(equality)])).
% cnf(1186,plain,(sdtlseqdt0(sdtpldt0(xr,X1),sdtpldt0(xn,X1))|~aNaturalNumber0(X1)),inference(cn,[status(thm)],[1185,theory(equality)])).
% cnf(1193,plain,(aNaturalNumber0(esk1_2(xn,sdtpldt0(xn,xp)))|~aNaturalNumber0(xn)|~aNaturalNumber0(sdtpldt0(xn,xp))),inference(spm,[status(thm)],[84,1182,theory(equality)])).
% cnf(1194,plain,(sdtpldt0(xn,esk1_2(xn,sdtpldt0(xn,xp)))=sdtpldt0(xn,xp)|~aNaturalNumber0(xn)|~aNaturalNumber0(sdtpldt0(xn,xp))),inference(spm,[status(thm)],[83,1182,theory(equality)])).
% cnf(1208,plain,(aNaturalNumber0(esk1_2(xn,sdtpldt0(xn,xp)))|$false|~aNaturalNumber0(sdtpldt0(xn,xp))),inference(rw,[status(thm)],[1193,137,theory(equality)])).
% cnf(1209,plain,(aNaturalNumber0(esk1_2(xn,sdtpldt0(xn,xp)))|~aNaturalNumber0(sdtpldt0(xn,xp))),inference(cn,[status(thm)],[1208,theory(equality)])).
% cnf(1210,plain,(sdtpldt0(xn,esk1_2(xn,sdtpldt0(xn,xp)))=sdtpldt0(xn,xp)|$false|~aNaturalNumber0(sdtpldt0(xn,xp))),inference(rw,[status(thm)],[1194,137,theory(equality)])).
% cnf(1211,plain,(sdtpldt0(xn,esk1_2(xn,sdtpldt0(xn,xp)))=sdtpldt0(xn,xp)|~aNaturalNumber0(sdtpldt0(xn,xp))),inference(cn,[status(thm)],[1210,theory(equality)])).
% cnf(1272,plain,(sdtlseqdt0(sz00,xn)|~aNaturalNumber0(sz00)|~aNaturalNumber0(xp)),inference(spm,[status(thm)],[530,435,theory(equality)])).
% cnf(1279,plain,(sdtlseqdt0(sz00,xn)|$false|~aNaturalNumber0(xp)),inference(rw,[status(thm)],[1272,222,theory(equality)])).
% cnf(1280,plain,(sdtlseqdt0(sz00,xn)|$false|$false),inference(rw,[status(thm)],[1279,135,theory(equality)])).
% cnf(1281,plain,(sdtlseqdt0(sz00,xn)),inference(cn,[status(thm)],[1280,theory(equality)])).
% cnf(1293,plain,(aNaturalNumber0(esk1_2(sz00,xn))|~aNaturalNumber0(sz00)|~aNaturalNumber0(xn)),inference(spm,[status(thm)],[84,1281,theory(equality)])).
% cnf(1294,plain,(sdtpldt0(sz00,esk1_2(sz00,xn))=xn|~aNaturalNumber0(sz00)|~aNaturalNumber0(xn)),inference(spm,[status(thm)],[83,1281,theory(equality)])).
% cnf(1310,plain,(aNaturalNumber0(esk1_2(sz00,xn))|$false|~aNaturalNumber0(xn)),inference(rw,[status(thm)],[1293,222,theory(equality)])).
% cnf(1311,plain,(aNaturalNumber0(esk1_2(sz00,xn))|$false|$false),inference(rw,[status(thm)],[1310,137,theory(equality)])).
% cnf(1312,plain,(aNaturalNumber0(esk1_2(sz00,xn))),inference(cn,[status(thm)],[1311,theory(equality)])).
% cnf(1313,plain,(sdtpldt0(sz00,esk1_2(sz00,xn))=xn|$false|~aNaturalNumber0(xn)),inference(rw,[status(thm)],[1294,222,theory(equality)])).
% cnf(1314,plain,(sdtpldt0(sz00,esk1_2(sz00,xn))=xn|$false|$false),inference(rw,[status(thm)],[1313,137,theory(equality)])).
% cnf(1315,plain,(sdtpldt0(sz00,esk1_2(sz00,xn))=xn),inference(cn,[status(thm)],[1314,theory(equality)])).
% cnf(1447,plain,(sdtpldt0(xn,X1)=sdtpldt0(xr,X1)|sdtlseqdt0(sdtpldt0(sdtpldt0(xr,X1),X2),sdtpldt0(sdtpldt0(xn,X1),X2))|~aNaturalNumber0(X2)|~aNaturalNumber0(sdtpldt0(xr,X1))|~aNaturalNumber0(sdtpldt0(xn,X1))|~aNaturalNumber0(X1)),inference(spm,[status(thm)],[111,1186,theory(equality)])).
% cnf(1486,plain,(xn=esk1_2(sz00,xn)|~aNaturalNumber0(esk1_2(sz00,xn))),inference(spm,[status(thm)],[164,1315,theory(equality)])).
% cnf(1518,plain,(xn=esk1_2(sz00,xn)|$false),inference(rw,[status(thm)],[1486,1312,theory(equality)])).
% cnf(1519,plain,(xn=esk1_2(sz00,xn)),inference(cn,[status(thm)],[1518,theory(equality)])).
% cnf(1520,plain,(sdtpldt0(sz00,xn)=xn),inference(rw,[status(thm)],[1315,1519,theory(equality)])).
% cnf(1525,plain,(X1=sz00|sdtpldt0(X1,xn)!=xn|~aNaturalNumber0(xn)|~aNaturalNumber0(sz00)|~aNaturalNumber0(X1)),inference(spm,[status(thm)],[76,1520,theory(equality)])).
% cnf(1545,plain,(X1=sz00|sdtpldt0(X1,xn)!=xn|$false|~aNaturalNumber0(sz00)|~aNaturalNumber0(X1)),inference(rw,[status(thm)],[1525,137,theory(equality)])).
% cnf(1546,plain,(X1=sz00|sdtpldt0(X1,xn)!=xn|$false|$false|~aNaturalNumber0(X1)),inference(rw,[status(thm)],[1545,222,theory(equality)])).
% cnf(1547,plain,(X1=sz00|sdtpldt0(X1,xn)!=xn|~aNaturalNumber0(X1)),inference(cn,[status(thm)],[1546,theory(equality)])).
% cnf(1597,negated_conjecture,(sdtpldt0(sdtpldt0(xm,xr),xp)=sdtpldt0(sdtpldt0(xn,xm),xp)|~sdtlseqdt0(sdtpldt0(sdtpldt0(xm,xr),xp),sdtpldt0(sdtpldt0(xn,xm),xp))|$false),inference(rw,[status(thm)],[286,978,theory(equality)])).
% cnf(1598,negated_conjecture,(sdtpldt0(sdtpldt0(xm,xr),xp)=sdtpldt0(sdtpldt0(xn,xm),xp)|~sdtlseqdt0(sdtpldt0(sdtpldt0(xm,xr),xp),sdtpldt0(sdtpldt0(xn,xm),xp))),inference(cn,[status(thm)],[1597,theory(equality)])).
% cnf(1919,plain,(aNaturalNumber0(esk1_2(xn,sdtpldt0(xp,xn)))|~aNaturalNumber0(xn)|~aNaturalNumber0(xp)),inference(spm,[status(thm)],[1041,52,theory(equality)])).
% cnf(1920,plain,(aNaturalNumber0(esk1_2(xn,sdtpldt0(xp,xn)))|$false|~aNaturalNumber0(xp)),inference(rw,[status(thm)],[1919,137,theory(equality)])).
% cnf(1921,plain,(aNaturalNumber0(esk1_2(xn,sdtpldt0(xp,xn)))|$false|$false),inference(rw,[status(thm)],[1920,135,theory(equality)])).
% cnf(1922,plain,(aNaturalNumber0(esk1_2(xn,sdtpldt0(xp,xn)))),inference(cn,[status(thm)],[1921,theory(equality)])).
% cnf(2001,plain,(aNaturalNumber0(esk1_2(xn,sdtpldt0(xn,xp)))|~aNaturalNumber0(xp)|~aNaturalNumber0(xn)),inference(spm,[status(thm)],[1209,52,theory(equality)])).
% cnf(2010,plain,(aNaturalNumber0(esk1_2(xn,sdtpldt0(xn,xp)))|$false|~aNaturalNumber0(xn)),inference(rw,[status(thm)],[2001,135,theory(equality)])).
% cnf(2011,plain,(aNaturalNumber0(esk1_2(xn,sdtpldt0(xn,xp)))|$false|$false),inference(rw,[status(thm)],[2010,137,theory(equality)])).
% cnf(2012,plain,(aNaturalNumber0(esk1_2(xn,sdtpldt0(xn,xp)))),inference(cn,[status(thm)],[2011,theory(equality)])).
% cnf(2149,plain,(sdtpldt0(xn,esk1_2(xn,sdtpldt0(xp,xn)))=sdtpldt0(xp,xn)|~aNaturalNumber0(xn)|~aNaturalNumber0(xp)),inference(spm,[status(thm)],[1043,52,theory(equality)])).
% cnf(2150,plain,(sdtpldt0(xn,esk1_2(xn,sdtpldt0(xp,xn)))=sdtpldt0(xp,xn)|$false|~aNaturalNumber0(xp)),inference(rw,[status(thm)],[2149,137,theory(equality)])).
% cnf(2151,plain,(sdtpldt0(xn,esk1_2(xn,sdtpldt0(xp,xn)))=sdtpldt0(xp,xn)|$false|$false),inference(rw,[status(thm)],[2150,135,theory(equality)])).
% cnf(2152,plain,(sdtpldt0(xn,esk1_2(xn,sdtpldt0(xp,xn)))=sdtpldt0(xp,xn)),inference(cn,[status(thm)],[2151,theory(equality)])).
% cnf(2155,plain,(aNaturalNumber0(sdtpldt0(xp,xn))|~aNaturalNumber0(esk1_2(xn,sdtpldt0(xp,xn)))|~aNaturalNumber0(xn)),inference(spm,[status(thm)],[52,2152,theory(equality)])).
% cnf(2173,plain,(aNaturalNumber0(sdtpldt0(xp,xn))|$false|~aNaturalNumber0(xn)),inference(rw,[status(thm)],[2155,1922,theory(equality)])).
% cnf(2174,plain,(aNaturalNumber0(sdtpldt0(xp,xn))|$false|$false),inference(rw,[status(thm)],[2173,137,theory(equality)])).
% cnf(2175,plain,(aNaturalNumber0(sdtpldt0(xp,xn))),inference(cn,[status(thm)],[2174,theory(equality)])).
% cnf(2290,plain,(sdtpldt0(xn,esk1_2(xn,sdtpldt0(xn,xp)))=sdtpldt0(xn,xp)|~aNaturalNumber0(xp)|~aNaturalNumber0(xn)),inference(spm,[status(thm)],[1211,52,theory(equality)])).
% cnf(2301,plain,(sdtpldt0(xn,esk1_2(xn,sdtpldt0(xn,xp)))=sdtpldt0(xn,xp)|$false|~aNaturalNumber0(xn)),inference(rw,[status(thm)],[2290,135,theory(equality)])).
% cnf(2302,plain,(sdtpldt0(xn,esk1_2(xn,sdtpldt0(xn,xp)))=sdtpldt0(xn,xp)|$false|$false),inference(rw,[status(thm)],[2301,137,theory(equality)])).
% cnf(2303,plain,(sdtpldt0(xn,esk1_2(xn,sdtpldt0(xn,xp)))=sdtpldt0(xn,xp)),inference(cn,[status(thm)],[2302,theory(equality)])).
% cnf(2306,plain,(aNaturalNumber0(sdtpldt0(xn,xp))|~aNaturalNumber0(esk1_2(xn,sdtpldt0(xn,xp)))|~aNaturalNumber0(xn)),inference(spm,[status(thm)],[52,2303,theory(equality)])).
% cnf(2308,plain,(X1=xn|sdtpldt0(X1,esk1_2(xn,sdtpldt0(xn,xp)))!=sdtpldt0(xn,xp)|~aNaturalNumber0(esk1_2(xn,sdtpldt0(xn,xp)))|~aNaturalNumber0(xn)|~aNaturalNumber0(X1)),inference(spm,[status(thm)],[76,2303,theory(equality)])).
% cnf(2326,plain,(aNaturalNumber0(sdtpldt0(xn,xp))|$false|~aNaturalNumber0(xn)),inference(rw,[status(thm)],[2306,2012,theory(equality)])).
% cnf(2327,plain,(aNaturalNumber0(sdtpldt0(xn,xp))|$false|$false),inference(rw,[status(thm)],[2326,137,theory(equality)])).
% cnf(2328,plain,(aNaturalNumber0(sdtpldt0(xn,xp))),inference(cn,[status(thm)],[2327,theory(equality)])).
% cnf(2332,plain,(X1=xn|sdtpldt0(X1,esk1_2(xn,sdtpldt0(xn,xp)))!=sdtpldt0(xn,xp)|$false|~aNaturalNumber0(xn)|~aNaturalNumber0(X1)),inference(rw,[status(thm)],[2308,2012,theory(equality)])).
% cnf(2333,plain,(X1=xn|sdtpldt0(X1,esk1_2(xn,sdtpldt0(xn,xp)))!=sdtpldt0(xn,xp)|$false|$false|~aNaturalNumber0(X1)),inference(rw,[status(thm)],[2332,137,theory(equality)])).
% cnf(2334,plain,(X1=xn|sdtpldt0(X1,esk1_2(xn,sdtpldt0(xn,xp)))!=sdtpldt0(xn,xp)|~aNaturalNumber0(X1)),inference(cn,[status(thm)],[2333,theory(equality)])).
% cnf(2551,plain,(X1=sz00|sdtpldt0(xn,X1)!=xn|~aNaturalNumber0(X1)|~aNaturalNumber0(xn)),inference(spm,[status(thm)],[1547,58,theory(equality)])).
% cnf(2555,plain,(X1=sz00|sdtpldt0(xn,X1)!=xn|~aNaturalNumber0(X1)|$false),inference(rw,[status(thm)],[2551,137,theory(equality)])).
% cnf(2556,plain,(X1=sz00|sdtpldt0(xn,X1)!=xn|~aNaturalNumber0(X1)),inference(cn,[status(thm)],[2555,theory(equality)])).
% cnf(2591,plain,(X1=xn|sdtpldt0(esk1_2(xn,sdtpldt0(xn,xp)),X1)!=sdtpldt0(xn,xp)|~aNaturalNumber0(X1)|~aNaturalNumber0(esk1_2(xn,sdtpldt0(xn,xp)))),inference(spm,[status(thm)],[2334,58,theory(equality)])).
% cnf(2604,plain,(X1=xn|sdtpldt0(esk1_2(xn,sdtpldt0(xn,xp)),X1)!=sdtpldt0(xn,xp)|~aNaturalNumber0(X1)|$false),inference(rw,[status(thm)],[2591,2012,theory(equality)])).
% cnf(2605,plain,(X1=xn|sdtpldt0(esk1_2(xn,sdtpldt0(xn,xp)),X1)!=sdtpldt0(xn,xp)|~aNaturalNumber0(X1)),inference(cn,[status(thm)],[2604,theory(equality)])).
% cnf(3386,plain,(esk1_2(xn,xn)=sz00|~aNaturalNumber0(esk1_2(xn,xn))|~aNaturalNumber0(xn)),inference(spm,[status(thm)],[2556,389,theory(equality)])).
% cnf(3413,plain,(esk1_2(xn,xn)=sz00|~aNaturalNumber0(esk1_2(xn,xn))|$false),inference(rw,[status(thm)],[3386,137,theory(equality)])).
% cnf(3414,plain,(esk1_2(xn,xn)=sz00|~aNaturalNumber0(esk1_2(xn,xn))),inference(cn,[status(thm)],[3413,theory(equality)])).
% cnf(4691,plain,(esk1_2(xn,xn)=sz00|~aNaturalNumber0(xn)),inference(spm,[status(thm)],[3414,403,theory(equality)])).
% cnf(4696,plain,(esk1_2(xn,xn)=sz00|$false),inference(rw,[status(thm)],[4691,137,theory(equality)])).
% cnf(4697,plain,(esk1_2(xn,xn)=sz00),inference(cn,[status(thm)],[4696,theory(equality)])).
% cnf(4820,plain,(sdtpldt0(xn,sz00)=xn|~aNaturalNumber0(xn)),inference(spm,[status(thm)],[389,4697,theory(equality)])).
% cnf(4833,plain,(sdtpldt0(xn,sz00)=xn|$false),inference(rw,[status(thm)],[4820,137,theory(equality)])).
% cnf(4834,plain,(sdtpldt0(xn,sz00)=xn),inference(cn,[status(thm)],[4833,theory(equality)])).
% cnf(4852,plain,(doDivides0(X1,sz00)|~doDivides0(X1,xn)|~aNaturalNumber0(xn)|~aNaturalNumber0(sz00)|~aNaturalNumber0(X1)),inference(spm,[status(thm)],[134,4834,theory(equality)])).
% cnf(4891,plain,(doDivides0(X1,sz00)|~doDivides0(X1,xn)|$false|~aNaturalNumber0(sz00)|~aNaturalNumber0(X1)),inference(rw,[status(thm)],[4852,137,theory(equality)])).
% cnf(4892,plain,(doDivides0(X1,sz00)|~doDivides0(X1,xn)|$false|$false|~aNaturalNumber0(X1)),inference(rw,[status(thm)],[4891,222,theory(equality)])).
% cnf(4893,plain,(doDivides0(X1,sz00)|~doDivides0(X1,xn)|~aNaturalNumber0(X1)),inference(cn,[status(thm)],[4892,theory(equality)])).
% cnf(4927,plain,(sdtlseqdt0(esk1_2(xn,sdtpldt0(xn,xp)),X1)|sdtpldt0(xn,xp)!=X1|~aNaturalNumber0(xn)|~aNaturalNumber0(esk1_2(xn,sdtpldt0(xn,xp)))|~aNaturalNumber0(X1)),inference(spm,[status(thm)],[431,2303,theory(equality)])).
% cnf(4963,plain,(sdtlseqdt0(esk1_2(xn,sdtpldt0(xn,xp)),X1)|sdtpldt0(xn,xp)!=X1|$false|~aNaturalNumber0(esk1_2(xn,sdtpldt0(xn,xp)))|~aNaturalNumber0(X1)),inference(rw,[status(thm)],[4927,137,theory(equality)])).
% cnf(4964,plain,(sdtlseqdt0(esk1_2(xn,sdtpldt0(xn,xp)),X1)|sdtpldt0(xn,xp)!=X1|$false|$false|~aNaturalNumber0(X1)),inference(rw,[status(thm)],[4963,2012,theory(equality)])).
% cnf(4965,plain,(sdtlseqdt0(esk1_2(xn,sdtpldt0(xn,xp)),X1)|sdtpldt0(xn,xp)!=X1|~aNaturalNumber0(X1)),inference(cn,[status(thm)],[4964,theory(equality)])).
% cnf(5048,plain,(doDivides0(sz10,sz00)|~aNaturalNumber0(sz10)|~aNaturalNumber0(xn)),inference(spm,[status(thm)],[4893,550,theory(equality)])).
% cnf(5054,plain,(doDivides0(sz10,sz00)|$false|~aNaturalNumber0(xn)),inference(rw,[status(thm)],[5048,224,theory(equality)])).
% cnf(5055,plain,(doDivides0(sz10,sz00)|$false|$false),inference(rw,[status(thm)],[5054,137,theory(equality)])).
% cnf(5056,plain,(doDivides0(sz10,sz00)),inference(cn,[status(thm)],[5055,theory(equality)])).
% cnf(5227,plain,(aNaturalNumber0(esk2_2(sz10,sz00))|~aNaturalNumber0(sz10)|~aNaturalNumber0(sz00)),inference(spm,[status(thm)],[124,5056,theory(equality)])).
% cnf(5228,plain,(sdtasdt0(sz10,esk2_2(sz10,sz00))=sz00|~aNaturalNumber0(sz10)|~aNaturalNumber0(sz00)),inference(spm,[status(thm)],[123,5056,theory(equality)])).
% cnf(5232,plain,(aNaturalNumber0(esk2_2(sz10,sz00))|$false|~aNaturalNumber0(sz00)),inference(rw,[status(thm)],[5227,224,theory(equality)])).
% cnf(5233,plain,(aNaturalNumber0(esk2_2(sz10,sz00))|$false|$false),inference(rw,[status(thm)],[5232,222,theory(equality)])).
% cnf(5234,plain,(aNaturalNumber0(esk2_2(sz10,sz00))),inference(cn,[status(thm)],[5233,theory(equality)])).
% cnf(5235,plain,(sdtasdt0(sz10,esk2_2(sz10,sz00))=sz00|$false|~aNaturalNumber0(sz00)),inference(rw,[status(thm)],[5228,224,theory(equality)])).
% cnf(5236,plain,(sdtasdt0(sz10,esk2_2(sz10,sz00))=sz00|$false|$false),inference(rw,[status(thm)],[5235,222,theory(equality)])).
% cnf(5237,plain,(sdtasdt0(sz10,esk2_2(sz10,sz00))=sz00),inference(cn,[status(thm)],[5236,theory(equality)])).
% cnf(5260,plain,(sdtlseqdt0(esk1_2(xn,sdtpldt0(xn,xp)),sdtpldt0(xn,xp))|~aNaturalNumber0(sdtpldt0(xn,xp))),inference(er,[status(thm)],[4965,theory(equality)])).
% cnf(5263,plain,(sdtlseqdt0(esk1_2(xn,sdtpldt0(xn,xp)),sdtpldt0(xn,xp))|$false),inference(rw,[status(thm)],[5260,2328,theory(equality)])).
% cnf(5264,plain,(sdtlseqdt0(esk1_2(xn,sdtpldt0(xn,xp)),sdtpldt0(xn,xp))),inference(cn,[status(thm)],[5263,theory(equality)])).
% cnf(5275,plain,(aNaturalNumber0(esk1_2(esk1_2(xn,sdtpldt0(xn,xp)),sdtpldt0(xn,xp)))|~aNaturalNumber0(esk1_2(xn,sdtpldt0(xn,xp)))|~aNaturalNumber0(sdtpldt0(xn,xp))),inference(spm,[status(thm)],[84,5264,theory(equality)])).
% cnf(5276,plain,(sdtpldt0(esk1_2(xn,sdtpldt0(xn,xp)),esk1_2(esk1_2(xn,sdtpldt0(xn,xp)),sdtpldt0(xn,xp)))=sdtpldt0(xn,xp)|~aNaturalNumber0(esk1_2(xn,sdtpldt0(xn,xp)))|~aNaturalNumber0(sdtpldt0(xn,xp))),inference(spm,[status(thm)],[83,5264,theory(equality)])).
% cnf(5296,plain,(aNaturalNumber0(esk1_2(esk1_2(xn,sdtpldt0(xn,xp)),sdtpldt0(xn,xp)))|$false|~aNaturalNumber0(sdtpldt0(xn,xp))),inference(rw,[status(thm)],[5275,2012,theory(equality)])).
% cnf(5297,plain,(aNaturalNumber0(esk1_2(esk1_2(xn,sdtpldt0(xn,xp)),sdtpldt0(xn,xp)))|$false|$false),inference(rw,[status(thm)],[5296,2328,theory(equality)])).
% cnf(5298,plain,(aNaturalNumber0(esk1_2(esk1_2(xn,sdtpldt0(xn,xp)),sdtpldt0(xn,xp)))),inference(cn,[status(thm)],[5297,theory(equality)])).
% cnf(5299,plain,(sdtpldt0(esk1_2(xn,sdtpldt0(xn,xp)),esk1_2(esk1_2(xn,sdtpldt0(xn,xp)),sdtpldt0(xn,xp)))=sdtpldt0(xn,xp)|$false|~aNaturalNumber0(sdtpldt0(xn,xp))),inference(rw,[status(thm)],[5276,2012,theory(equality)])).
% cnf(5300,plain,(sdtpldt0(esk1_2(xn,sdtpldt0(xn,xp)),esk1_2(esk1_2(xn,sdtpldt0(xn,xp)),sdtpldt0(xn,xp)))=sdtpldt0(xn,xp)|$false|$false),inference(rw,[status(thm)],[5299,2328,theory(equality)])).
% cnf(5301,plain,(sdtpldt0(esk1_2(xn,sdtpldt0(xn,xp)),esk1_2(esk1_2(xn,sdtpldt0(xn,xp)),sdtpldt0(xn,xp)))=sdtpldt0(xn,xp)),inference(cn,[status(thm)],[5300,theory(equality)])).
% cnf(5471,plain,(esk1_2(esk1_2(xn,sdtpldt0(xn,xp)),sdtpldt0(xn,xp))=xn|~aNaturalNumber0(esk1_2(esk1_2(xn,sdtpldt0(xn,xp)),sdtpldt0(xn,xp)))),inference(spm,[status(thm)],[2605,5301,theory(equality)])).
% cnf(5519,plain,(esk1_2(esk1_2(xn,sdtpldt0(xn,xp)),sdtpldt0(xn,xp))=xn|$false),inference(rw,[status(thm)],[5471,5298,theory(equality)])).
% cnf(5520,plain,(esk1_2(esk1_2(xn,sdtpldt0(xn,xp)),sdtpldt0(xn,xp))=xn),inference(cn,[status(thm)],[5519,theory(equality)])).
% cnf(5551,plain,(sdtpldt0(esk1_2(xn,sdtpldt0(xn,xp)),xn)=sdtpldt0(xn,xp)),inference(rw,[status(thm)],[5301,5520,theory(equality)])).
% cnf(5832,plain,(xr=X1|xn!=sdtpldt0(X1,xp)|~aNaturalNumber0(xp)|~aNaturalNumber0(X1)|~aNaturalNumber0(xr)),inference(spm,[status(thm)],[449,943,theory(equality)])).
% cnf(5883,plain,(xr=X1|xn!=sdtpldt0(X1,xp)|$false|~aNaturalNumber0(X1)|~aNaturalNumber0(xr)),inference(rw,[status(thm)],[5832,135,theory(equality)])).
% cnf(5884,plain,(xr=X1|xn!=sdtpldt0(X1,xp)|$false|~aNaturalNumber0(X1)|$false),inference(rw,[status(thm)],[5883,978,theory(equality)])).
% cnf(5885,plain,(xr=X1|xn!=sdtpldt0(X1,xp)|~aNaturalNumber0(X1)),inference(cn,[status(thm)],[5884,theory(equality)])).
% cnf(5958,plain,(sz00=sz10|sz00=esk2_2(sz10,sz00)|~aNaturalNumber0(sz10)|~aNaturalNumber0(esk2_2(sz10,sz00))),inference(spm,[status(thm)],[184,5237,theory(equality)])).
% cnf(5985,plain,(sz00=sz10|sz00=esk2_2(sz10,sz00)|$false|~aNaturalNumber0(esk2_2(sz10,sz00))),inference(rw,[status(thm)],[5958,224,theory(equality)])).
% cnf(5986,plain,(sz00=sz10|sz00=esk2_2(sz10,sz00)|$false|$false),inference(rw,[status(thm)],[5985,5234,theory(equality)])).
% cnf(5987,plain,(sz00=sz10|sz00=esk2_2(sz10,sz00)),inference(cn,[status(thm)],[5986,theory(equality)])).
% cnf(5988,plain,(esk2_2(sz10,sz00)=sz00),inference(sr,[status(thm)],[5987,223,theory(equality)])).
% cnf(6049,plain,(sdtasdt0(sz10,sz00)=sz00),inference(rw,[status(thm)],[5237,5988,theory(equality)])).
% cnf(6414,plain,(xr=X1|sdtpldt0(xp,X1)!=xn|~aNaturalNumber0(X1)|~aNaturalNumber0(xp)),inference(spm,[status(thm)],[5885,58,theory(equality)])).
% cnf(6421,plain,(xr=X1|sdtpldt0(xp,X1)!=xn|~aNaturalNumber0(X1)|$false),inference(rw,[status(thm)],[6414,135,theory(equality)])).
% cnf(6422,plain,(xr=X1|sdtpldt0(xp,X1)!=xn|~aNaturalNumber0(X1)),inference(cn,[status(thm)],[6421,theory(equality)])).
% cnf(6545,plain,(sdtlseqdt0(X1,sdtpldt0(xp,xn))|~sdtlseqdt0(X1,xn)|$false|~aNaturalNumber0(X1)),inference(rw,[status(thm)],[1045,2175,theory(equality)])).
% cnf(6546,plain,(sdtlseqdt0(X1,sdtpldt0(xp,xn))|~sdtlseqdt0(X1,xn)|~aNaturalNumber0(X1)),inference(cn,[status(thm)],[6545,theory(equality)])).
% cnf(6551,plain,(sdtlseqdt0(sz00,sdtpldt0(xp,xn))|~aNaturalNumber0(sz00)|~aNaturalNumber0(xn)),inference(spm,[status(thm)],[6546,435,theory(equality)])).
% cnf(6554,plain,(sdtlseqdt0(xp,sdtpldt0(xp,xn))|~aNaturalNumber0(xp)),inference(spm,[status(thm)],[6546,143,theory(equality)])).
% cnf(6571,plain,(sdtlseqdt0(sz00,sdtpldt0(xp,xn))|$false|~aNaturalNumber0(xn)),inference(rw,[status(thm)],[6551,222,theory(equality)])).
% cnf(6572,plain,(sdtlseqdt0(sz00,sdtpldt0(xp,xn))|$false|$false),inference(rw,[status(thm)],[6571,137,theory(equality)])).
% cnf(6573,plain,(sdtlseqdt0(sz00,sdtpldt0(xp,xn))),inference(cn,[status(thm)],[6572,theory(equality)])).
% cnf(6578,plain,(sdtlseqdt0(xp,sdtpldt0(xp,xn))|$false),inference(rw,[status(thm)],[6554,135,theory(equality)])).
% cnf(6579,plain,(sdtlseqdt0(xp,sdtpldt0(xp,xn))),inference(cn,[status(thm)],[6578,theory(equality)])).
% cnf(6630,plain,(aNaturalNumber0(esk1_2(xp,sdtpldt0(xp,xn)))|~aNaturalNumber0(xp)|~aNaturalNumber0(sdtpldt0(xp,xn))),inference(spm,[status(thm)],[84,6579,theory(equality)])).
% cnf(6631,plain,(sdtpldt0(xp,esk1_2(xp,sdtpldt0(xp,xn)))=sdtpldt0(xp,xn)|~aNaturalNumber0(xp)|~aNaturalNumber0(sdtpldt0(xp,xn))),inference(spm,[status(thm)],[83,6579,theory(equality)])).
% cnf(6647,plain,(aNaturalNumber0(esk1_2(xp,sdtpldt0(xp,xn)))|$false|~aNaturalNumber0(sdtpldt0(xp,xn))),inference(rw,[status(thm)],[6630,135,theory(equality)])).
% cnf(6648,plain,(aNaturalNumber0(esk1_2(xp,sdtpldt0(xp,xn)))|$false|$false),inference(rw,[status(thm)],[6647,2175,theory(equality)])).
% cnf(6649,plain,(aNaturalNumber0(esk1_2(xp,sdtpldt0(xp,xn)))),inference(cn,[status(thm)],[6648,theory(equality)])).
% cnf(6650,plain,(sdtpldt0(xp,esk1_2(xp,sdtpldt0(xp,xn)))=sdtpldt0(xp,xn)|$false|~aNaturalNumber0(sdtpldt0(xp,xn))),inference(rw,[status(thm)],[6631,135,theory(equality)])).
% cnf(6651,plain,(sdtpldt0(xp,esk1_2(xp,sdtpldt0(xp,xn)))=sdtpldt0(xp,xn)|$false|$false),inference(rw,[status(thm)],[6650,2175,theory(equality)])).
% cnf(6652,plain,(sdtpldt0(xp,esk1_2(xp,sdtpldt0(xp,xn)))=sdtpldt0(xp,xn)),inference(cn,[status(thm)],[6651,theory(equality)])).
% cnf(6666,plain,(aNaturalNumber0(esk1_2(sz00,sdtpldt0(xp,xn)))|~aNaturalNumber0(sz00)|~aNaturalNumber0(sdtpldt0(xp,xn))),inference(spm,[status(thm)],[84,6573,theory(equality)])).
% cnf(6667,plain,(sdtpldt0(sz00,esk1_2(sz00,sdtpldt0(xp,xn)))=sdtpldt0(xp,xn)|~aNaturalNumber0(sz00)|~aNaturalNumber0(sdtpldt0(xp,xn))),inference(spm,[status(thm)],[83,6573,theory(equality)])).
% cnf(6683,plain,(aNaturalNumber0(esk1_2(sz00,sdtpldt0(xp,xn)))|$false|~aNaturalNumber0(sdtpldt0(xp,xn))),inference(rw,[status(thm)],[6666,222,theory(equality)])).
% cnf(6684,plain,(aNaturalNumber0(esk1_2(sz00,sdtpldt0(xp,xn)))|$false|$false),inference(rw,[status(thm)],[6683,2175,theory(equality)])).
% cnf(6685,plain,(aNaturalNumber0(esk1_2(sz00,sdtpldt0(xp,xn)))),inference(cn,[status(thm)],[6684,theory(equality)])).
% cnf(6686,plain,(sdtpldt0(sz00,esk1_2(sz00,sdtpldt0(xp,xn)))=sdtpldt0(xp,xn)|$false|~aNaturalNumber0(sdtpldt0(xp,xn))),inference(rw,[status(thm)],[6667,222,theory(equality)])).
% cnf(6687,plain,(sdtpldt0(sz00,esk1_2(sz00,sdtpldt0(xp,xn)))=sdtpldt0(xp,xn)|$false|$false),inference(rw,[status(thm)],[6686,2175,theory(equality)])).
% cnf(6688,plain,(sdtpldt0(sz00,esk1_2(sz00,sdtpldt0(xp,xn)))=sdtpldt0(xp,xn)),inference(cn,[status(thm)],[6687,theory(equality)])).
% cnf(6879,plain,(xr=esk1_2(xp,sdtpldt0(xp,xn))|sdtpldt0(xp,xn)!=xn|~aNaturalNumber0(esk1_2(xp,sdtpldt0(xp,xn)))),inference(spm,[status(thm)],[6422,6652,theory(equality)])).
% cnf(6930,plain,(xr=esk1_2(xp,sdtpldt0(xp,xn))|sdtpldt0(xp,xn)!=xn|$false),inference(rw,[status(thm)],[6879,6649,theory(equality)])).
% cnf(6931,plain,(xr=esk1_2(xp,sdtpldt0(xp,xn))|sdtpldt0(xp,xn)!=xn),inference(cn,[status(thm)],[6930,theory(equality)])).
% cnf(6997,plain,(sdtpldt0(xp,xn)=esk1_2(sz00,sdtpldt0(xp,xn))|~aNaturalNumber0(esk1_2(sz00,sdtpldt0(xp,xn)))),inference(spm,[status(thm)],[164,6688,theory(equality)])).
% cnf(7044,plain,(sdtpldt0(xp,xn)=esk1_2(sz00,sdtpldt0(xp,xn))|$false),inference(rw,[status(thm)],[6997,6685,theory(equality)])).
% cnf(7045,plain,(sdtpldt0(xp,xn)=esk1_2(sz00,sdtpldt0(xp,xn))),inference(cn,[status(thm)],[7044,theory(equality)])).
% cnf(7080,plain,(sdtpldt0(sz00,sdtpldt0(xp,xn))=sdtpldt0(xp,xn)),inference(rw,[status(thm)],[6688,7045,theory(equality)])).
% cnf(7102,plain,(sdtlseqdt0(sdtpldt0(xp,xn),X1)|sdtpldt0(xp,xn)!=X1|~aNaturalNumber0(sz00)|~aNaturalNumber0(sdtpldt0(xp,xn))|~aNaturalNumber0(X1)),inference(spm,[status(thm)],[431,7080,theory(equality)])).
% cnf(7136,plain,(sdtlseqdt0(sdtpldt0(xp,xn),X1)|sdtpldt0(xp,xn)!=X1|$false|~aNaturalNumber0(sdtpldt0(xp,xn))|~aNaturalNumber0(X1)),inference(rw,[status(thm)],[7102,222,theory(equality)])).
% cnf(7137,plain,(sdtlseqdt0(sdtpldt0(xp,xn),X1)|sdtpldt0(xp,xn)!=X1|$false|$false|~aNaturalNumber0(X1)),inference(rw,[status(thm)],[7136,2175,theory(equality)])).
% cnf(7138,plain,(sdtlseqdt0(sdtpldt0(xp,xn),X1)|sdtpldt0(xp,xn)!=X1|~aNaturalNumber0(X1)),inference(cn,[status(thm)],[7137,theory(equality)])).
% cnf(7648,plain,(sdtpldt0(X1,sdtpldt0(X2,X3))=sdtpldt0(X2,sdtpldt0(X3,X1))|~aNaturalNumber0(X1)|~aNaturalNumber0(X3)|~aNaturalNumber0(X2)),inference(csr,[status(thm)],[482,52])).
% cnf(8472,plain,(aNaturalNumber0(sdtpldt0(X1,sdtpldt0(X2,X3)))|~aNaturalNumber0(X2)|~aNaturalNumber0(X1)|~aNaturalNumber0(X3)),inference(csr,[status(thm)],[485,52])).
% cnf(8482,plain,(aNaturalNumber0(sdtpldt0(X1,xn))|~aNaturalNumber0(xn)|~aNaturalNumber0(sz00)|~aNaturalNumber0(X1)),inference(spm,[status(thm)],[8472,1520,theory(equality)])).
% cnf(8534,plain,(aNaturalNumber0(sdtpldt0(X1,xn))|$false|~aNaturalNumber0(sz00)|~aNaturalNumber0(X1)),inference(rw,[status(thm)],[8482,137,theory(equality)])).
% cnf(8535,plain,(aNaturalNumber0(sdtpldt0(X1,xn))|$false|$false|~aNaturalNumber0(X1)),inference(rw,[status(thm)],[8534,222,theory(equality)])).
% cnf(8536,plain,(aNaturalNumber0(sdtpldt0(X1,xn))|~aNaturalNumber0(X1)),inference(cn,[status(thm)],[8535,theory(equality)])).
% cnf(8911,plain,(X1=sdtpldt0(X2,X3)|sdtpldt0(X1,X4)!=sdtpldt0(X2,sdtpldt0(X3,X4))|~aNaturalNumber0(X1)|~aNaturalNumber0(X3)|~aNaturalNumber0(X2)|~aNaturalNumber0(X4)),inference(csr,[status(thm)],[487,52])).
% cnf(9631,plain,(aNaturalNumber0(sdtpldt0(xn,X1))|~aNaturalNumber0(X1)|~aNaturalNumber0(xn)),inference(spm,[status(thm)],[8536,58,theory(equality)])).
% cnf(9650,plain,(aNaturalNumber0(sdtpldt0(xn,X1))|~aNaturalNumber0(X1)|$false),inference(rw,[status(thm)],[9631,137,theory(equality)])).
% cnf(9651,plain,(aNaturalNumber0(sdtpldt0(xn,X1))|~aNaturalNumber0(X1)),inference(cn,[status(thm)],[9650,theory(equality)])).
% cnf(10100,plain,(sdtpldt0(sz00,sdtpldt0(xn,xp))=sdtpldt0(xn,xp)|~aNaturalNumber0(xn)|~aNaturalNumber0(esk1_2(xn,sdtpldt0(xn,xp)))),inference(spm,[status(thm)],[508,5551,theory(equality)])).
% cnf(10216,plain,(sdtpldt0(sz00,sdtpldt0(xn,xp))=sdtpldt0(xn,xp)|$false|~aNaturalNumber0(esk1_2(xn,sdtpldt0(xn,xp)))),inference(rw,[status(thm)],[10100,137,theory(equality)])).
% cnf(10217,plain,(sdtpldt0(sz00,sdtpldt0(xn,xp))=sdtpldt0(xn,xp)|$false|$false),inference(rw,[status(thm)],[10216,2012,theory(equality)])).
% cnf(10218,plain,(sdtpldt0(sz00,sdtpldt0(xn,xp))=sdtpldt0(xn,xp)),inference(cn,[status(thm)],[10217,theory(equality)])).
% cnf(10312,plain,(X1=sdtpldt0(sz00,xn)|sdtpldt0(X1,xp)!=sdtpldt0(xn,xp)|~aNaturalNumber0(xp)|~aNaturalNumber0(X1)|~aNaturalNumber0(xn)|~aNaturalNumber0(sz00)),inference(spm,[status(thm)],[8911,10218,theory(equality)])).
% cnf(10416,plain,(X1=xn|sdtpldt0(X1,xp)!=sdtpldt0(xn,xp)|~aNaturalNumber0(xp)|~aNaturalNumber0(X1)|~aNaturalNumber0(xn)|~aNaturalNumber0(sz00)),inference(rw,[status(thm)],[10312,1520,theory(equality)])).
% cnf(10417,plain,(X1=xn|sdtpldt0(X1,xp)!=sdtpldt0(xn,xp)|$false|~aNaturalNumber0(X1)|~aNaturalNumber0(xn)|~aNaturalNumber0(sz00)),inference(rw,[status(thm)],[10416,135,theory(equality)])).
% cnf(10418,plain,(X1=xn|sdtpldt0(X1,xp)!=sdtpldt0(xn,xp)|$false|~aNaturalNumber0(X1)|$false|~aNaturalNumber0(sz00)),inference(rw,[status(thm)],[10417,137,theory(equality)])).
% cnf(10419,plain,(X1=xn|sdtpldt0(X1,xp)!=sdtpldt0(xn,xp)|$false|~aNaturalNumber0(X1)|$false|$false),inference(rw,[status(thm)],[10418,222,theory(equality)])).
% cnf(10420,plain,(X1=xn|sdtpldt0(X1,xp)!=sdtpldt0(xn,xp)|~aNaturalNumber0(X1)),inference(cn,[status(thm)],[10419,theory(equality)])).
% cnf(11126,plain,(X1=xn|sdtpldt0(xp,X1)!=sdtpldt0(xn,xp)|~aNaturalNumber0(X1)|~aNaturalNumber0(xp)),inference(spm,[status(thm)],[10420,58,theory(equality)])).
% cnf(11142,plain,(X1=xn|sdtpldt0(xp,X1)!=sdtpldt0(xn,xp)|~aNaturalNumber0(X1)|$false),inference(rw,[status(thm)],[11126,135,theory(equality)])).
% cnf(11143,plain,(X1=xn|sdtpldt0(xp,X1)!=sdtpldt0(xn,xp)|~aNaturalNumber0(X1)),inference(cn,[status(thm)],[11142,theory(equality)])).
% cnf(11172,plain,(esk1_2(xp,sdtpldt0(xp,xn))=xn|sdtpldt0(xp,xn)!=sdtpldt0(xn,xp)|~aNaturalNumber0(esk1_2(xp,sdtpldt0(xp,xn)))),inference(spm,[status(thm)],[11143,6652,theory(equality)])).
% cnf(11197,plain,(esk1_2(xp,sdtpldt0(xp,xn))=xn|sdtpldt0(xp,xn)!=sdtpldt0(xn,xp)|$false),inference(rw,[status(thm)],[11172,6649,theory(equality)])).
% cnf(11198,plain,(esk1_2(xp,sdtpldt0(xp,xn))=xn|sdtpldt0(xp,xn)!=sdtpldt0(xn,xp)),inference(cn,[status(thm)],[11197,theory(equality)])).
% cnf(11199,plain,(esk1_2(xp,sdtpldt0(xp,xn))=xn|~aNaturalNumber0(xn)|~aNaturalNumber0(xp)),inference(spm,[status(thm)],[11198,58,theory(equality)])).
% cnf(11201,plain,(esk1_2(xp,sdtpldt0(xp,xn))=xn|$false|~aNaturalNumber0(xp)),inference(rw,[status(thm)],[11199,137,theory(equality)])).
% cnf(11202,plain,(esk1_2(xp,sdtpldt0(xp,xn))=xn|$false|$false),inference(rw,[status(thm)],[11201,135,theory(equality)])).
% cnf(11203,plain,(esk1_2(xp,sdtpldt0(xp,xn))=xn),inference(cn,[status(thm)],[11202,theory(equality)])).
% cnf(11210,plain,(xn=xr|sdtpldt0(xp,xn)!=xn),inference(rw,[status(thm)],[6931,11203,theory(equality)])).
% cnf(11211,plain,(sdtpldt0(xp,xn)!=xn),inference(sr,[status(thm)],[11210,146,theory(equality)])).
% cnf(11278,plain,(aNaturalNumber0(sdtmndt0(sdtpldt0(xp,xn),sz00))|~aNaturalNumber0(sz00)|~aNaturalNumber0(sdtpldt0(xp,xn))),inference(spm,[status(thm)],[511,6573,theory(equality)])).
% cnf(11281,plain,(aNaturalNumber0(sdtmndt0(xn,xr))|~aNaturalNumber0(xr)|~aNaturalNumber0(xn)),inference(spm,[status(thm)],[511,145,theory(equality)])).
% cnf(11368,plain,(aNaturalNumber0(sdtmndt0(sdtpldt0(xp,xn),sz00))|$false|~aNaturalNumber0(sdtpldt0(xp,xn))),inference(rw,[status(thm)],[11278,222,theory(equality)])).
% cnf(11369,plain,(aNaturalNumber0(sdtmndt0(sdtpldt0(xp,xn),sz00))|$false|$false),inference(rw,[status(thm)],[11368,2175,theory(equality)])).
% cnf(11370,plain,(aNaturalNumber0(sdtmndt0(sdtpldt0(xp,xn),sz00))),inference(cn,[status(thm)],[11369,theory(equality)])).
% cnf(11376,plain,(aNaturalNumber0(sdtmndt0(xn,xr))|$false|~aNaturalNumber0(xn)),inference(rw,[status(thm)],[11281,978,theory(equality)])).
% cnf(11377,plain,(aNaturalNumber0(sdtmndt0(xn,xr))|$false|$false),inference(rw,[status(thm)],[11376,137,theory(equality)])).
% cnf(11378,plain,(aNaturalNumber0(sdtmndt0(xn,xr))),inference(cn,[status(thm)],[11377,theory(equality)])).
% cnf(13063,plain,(doDivides0(X1,sdtasdt0(X1,X2))|~aNaturalNumber0(X2)|~aNaturalNumber0(X1)),inference(csr,[status(thm)],[541,55])).
% cnf(13711,plain,(sdtpldt0(sz00,sdtmndt0(sdtpldt0(xp,xn),sz00))=sdtpldt0(xp,xn)|~aNaturalNumber0(sz00)|~aNaturalNumber0(sdtpldt0(xp,xn))),inference(spm,[status(thm)],[558,6573,theory(equality)])).
% cnf(13716,plain,(sdtpldt0(xr,sdtmndt0(xn,xr))=xn|~aNaturalNumber0(xr)|~aNaturalNumber0(xn)),inference(spm,[status(thm)],[558,145,theory(equality)])).
% cnf(13812,plain,(sdtpldt0(sz00,sdtmndt0(sdtpldt0(xp,xn),sz00))=sdtpldt0(xp,xn)|$false|~aNaturalNumber0(sdtpldt0(xp,xn))),inference(rw,[status(thm)],[13711,222,theory(equality)])).
% cnf(13813,plain,(sdtpldt0(sz00,sdtmndt0(sdtpldt0(xp,xn),sz00))=sdtpldt0(xp,xn)|$false|$false),inference(rw,[status(thm)],[13812,2175,theory(equality)])).
% cnf(13814,plain,(sdtpldt0(sz00,sdtmndt0(sdtpldt0(xp,xn),sz00))=sdtpldt0(xp,xn)),inference(cn,[status(thm)],[13813,theory(equality)])).
% cnf(13826,plain,(sdtpldt0(xr,sdtmndt0(xn,xr))=xn|$false|~aNaturalNumber0(xn)),inference(rw,[status(thm)],[13716,978,theory(equality)])).
% cnf(13827,plain,(sdtpldt0(xr,sdtmndt0(xn,xr))=xn|$false|$false),inference(rw,[status(thm)],[13826,137,theory(equality)])).
% cnf(13828,plain,(sdtpldt0(xr,sdtmndt0(xn,xr))=xn),inference(cn,[status(thm)],[13827,theory(equality)])).
% cnf(15376,plain,(sdtpldt0(xp,xn)=sdtmndt0(sdtpldt0(xp,xn),sz00)|~aNaturalNumber0(sdtmndt0(sdtpldt0(xp,xn),sz00))),inference(spm,[status(thm)],[164,13814,theory(equality)])).
% cnf(15463,plain,(sdtpldt0(xp,xn)=sdtmndt0(sdtpldt0(xp,xn),sz00)|$false),inference(rw,[status(thm)],[15376,11370,theory(equality)])).
% cnf(15464,plain,(sdtpldt0(xp,xn)=sdtmndt0(sdtpldt0(xp,xn),sz00)),inference(cn,[status(thm)],[15463,theory(equality)])).
% cnf(16738,plain,(aNaturalNumber0(X1)|sdtpldt0(xp,xn)!=X1|~sdtlseqdt0(sz00,sdtpldt0(xp,xn))|~aNaturalNumber0(sz00)|~aNaturalNumber0(sdtpldt0(xp,xn))),inference(spm,[status(thm)],[92,15464,theory(equality)])).
% cnf(16743,plain,(aNaturalNumber0(X1)|sdtpldt0(xp,xn)!=X1|$false|~aNaturalNumber0(sz00)|~aNaturalNumber0(sdtpldt0(xp,xn))),inference(rw,[status(thm)],[16738,6573,theory(equality)])).
% cnf(16744,plain,(aNaturalNumber0(X1)|sdtpldt0(xp,xn)!=X1|$false|$false|~aNaturalNumber0(sdtpldt0(xp,xn))),inference(rw,[status(thm)],[16743,222,theory(equality)])).
% cnf(16745,plain,(aNaturalNumber0(X1)|sdtpldt0(xp,xn)!=X1|$false|$false|$false),inference(rw,[status(thm)],[16744,2175,theory(equality)])).
% cnf(16746,plain,(aNaturalNumber0(X1)|sdtpldt0(xp,xn)!=X1),inference(cn,[status(thm)],[16745,theory(equality)])).
% cnf(19290,plain,(sdtmndt0(sdtpldt0(X1,X2),X1)=X2|~aNaturalNumber0(X2)|~aNaturalNumber0(X1)),inference(csr,[status(thm)],[625,52])).
% cnf(19320,plain,(sdtmndt0(sdtpldt0(xn,xp),xn)=esk1_2(xn,sdtpldt0(xn,xp))|~aNaturalNumber0(esk1_2(xn,sdtpldt0(xn,xp)))|~aNaturalNumber0(xn)),inference(spm,[status(thm)],[19290,2303,theory(equality)])).
% cnf(19415,plain,(sdtmndt0(sdtpldt0(xn,xp),xn)=esk1_2(xn,sdtpldt0(xn,xp))|$false|~aNaturalNumber0(xn)),inference(rw,[status(thm)],[19320,2012,theory(equality)])).
% cnf(19416,plain,(sdtmndt0(sdtpldt0(xn,xp),xn)=esk1_2(xn,sdtpldt0(xn,xp))|$false|$false),inference(rw,[status(thm)],[19415,137,theory(equality)])).
% cnf(19417,plain,(sdtmndt0(sdtpldt0(xn,xp),xn)=esk1_2(xn,sdtpldt0(xn,xp))),inference(cn,[status(thm)],[19416,theory(equality)])).
% cnf(20000,plain,(sdtlseqdt0(sdtmndt0(sdtpldt0(xn,xp),xn),sdtpldt0(xn,xp))),inference(rw,[status(thm)],[5264,19417,theory(equality)])).
% cnf(20037,plain,(sdtlseqdt0(xp,sdtpldt0(xn,xp))|~aNaturalNumber0(xp)|~aNaturalNumber0(xn)),inference(spm,[status(thm)],[20000,19290,theory(equality)])).
% cnf(20093,plain,(sdtlseqdt0(xp,sdtpldt0(xn,xp))|$false|~aNaturalNumber0(xn)),inference(rw,[status(thm)],[20037,135,theory(equality)])).
% cnf(20094,plain,(sdtlseqdt0(xp,sdtpldt0(xn,xp))|$false|$false),inference(rw,[status(thm)],[20093,137,theory(equality)])).
% cnf(20095,plain,(sdtlseqdt0(xp,sdtpldt0(xn,xp))),inference(cn,[status(thm)],[20094,theory(equality)])).
% cnf(20101,plain,(aNaturalNumber0(esk1_2(xp,sdtpldt0(xn,xp)))|~aNaturalNumber0(xp)|~aNaturalNumber0(sdtpldt0(xn,xp))),inference(spm,[status(thm)],[84,20095,theory(equality)])).
% cnf(20102,plain,(sdtpldt0(xp,esk1_2(xp,sdtpldt0(xn,xp)))=sdtpldt0(xn,xp)|~aNaturalNumber0(xp)|~aNaturalNumber0(sdtpldt0(xn,xp))),inference(spm,[status(thm)],[83,20095,theory(equality)])).
% cnf(20126,plain,(aNaturalNumber0(esk1_2(xp,sdtpldt0(xn,xp)))|$false|~aNaturalNumber0(sdtpldt0(xn,xp))),inference(rw,[status(thm)],[20101,135,theory(equality)])).
% cnf(20127,plain,(aNaturalNumber0(esk1_2(xp,sdtpldt0(xn,xp)))|$false|$false),inference(rw,[status(thm)],[20126,2328,theory(equality)])).
% cnf(20128,plain,(aNaturalNumber0(esk1_2(xp,sdtpldt0(xn,xp)))),inference(cn,[status(thm)],[20127,theory(equality)])).
% cnf(20129,plain,(sdtpldt0(xp,esk1_2(xp,sdtpldt0(xn,xp)))=sdtpldt0(xn,xp)|$false|~aNaturalNumber0(sdtpldt0(xn,xp))),inference(rw,[status(thm)],[20102,135,theory(equality)])).
% cnf(20130,plain,(sdtpldt0(xp,esk1_2(xp,sdtpldt0(xn,xp)))=sdtpldt0(xn,xp)|$false|$false),inference(rw,[status(thm)],[20129,2328,theory(equality)])).
% cnf(20131,plain,(sdtpldt0(xp,esk1_2(xp,sdtpldt0(xn,xp)))=sdtpldt0(xn,xp)),inference(cn,[status(thm)],[20130,theory(equality)])).
% cnf(20240,plain,(esk1_2(xp,sdtpldt0(xn,xp))=xn|~aNaturalNumber0(esk1_2(xp,sdtpldt0(xn,xp)))),inference(spm,[status(thm)],[11143,20131,theory(equality)])).
% cnf(20358,plain,(esk1_2(xp,sdtpldt0(xn,xp))=xn|$false),inference(rw,[status(thm)],[20240,20128,theory(equality)])).
% cnf(20359,plain,(esk1_2(xp,sdtpldt0(xn,xp))=xn),inference(cn,[status(thm)],[20358,theory(equality)])).
% cnf(20375,plain,(sdtpldt0(xp,xn)=sdtpldt0(xn,xp)),inference(rw,[status(thm)],[20131,20359,theory(equality)])).
% cnf(20404,plain,(sdtmndt0(sdtpldt0(xp,xn),xn)=xp|~aNaturalNumber0(xp)|~aNaturalNumber0(xn)),inference(spm,[status(thm)],[19290,20375,theory(equality)])).
% cnf(20413,plain,(xp=X1|sdtpldt0(xp,xn)!=sdtpldt0(xn,X1)|~aNaturalNumber0(xn)|~aNaturalNumber0(X1)|~aNaturalNumber0(xp)),inference(spm,[status(thm)],[77,20375,theory(equality)])).
% cnf(20554,plain,(sdtmndt0(sdtpldt0(xp,xn),xn)=xp|$false|~aNaturalNumber0(xn)),inference(rw,[status(thm)],[20404,135,theory(equality)])).
% cnf(20555,plain,(sdtmndt0(sdtpldt0(xp,xn),xn)=xp|$false|$false),inference(rw,[status(thm)],[20554,137,theory(equality)])).
% cnf(20556,plain,(sdtmndt0(sdtpldt0(xp,xn),xn)=xp),inference(cn,[status(thm)],[20555,theory(equality)])).
% cnf(20581,plain,(xp=X1|sdtpldt0(xp,xn)!=sdtpldt0(xn,X1)|$false|~aNaturalNumber0(X1)|~aNaturalNumber0(xp)),inference(rw,[status(thm)],[20413,137,theory(equality)])).
% cnf(20582,plain,(xp=X1|sdtpldt0(xp,xn)!=sdtpldt0(xn,X1)|$false|~aNaturalNumber0(X1)|$false),inference(rw,[status(thm)],[20581,135,theory(equality)])).
% cnf(20583,plain,(xp=X1|sdtpldt0(xp,xn)!=sdtpldt0(xn,X1)|~aNaturalNumber0(X1)),inference(cn,[status(thm)],[20582,theory(equality)])).
% cnf(28309,plain,(sdtlseqdt0(sdtpldt0(xp,xn),X1)|sdtpldt0(xp,xn)!=X1),inference(csr,[status(thm)],[7138,16746])).
% cnf(28310,plain,(sdtlseqdt0(sdtpldt0(xp,xn),sdtpldt0(xp,xn))),inference(er,[status(thm)],[28309,theory(equality)])).
% cnf(28312,plain,(aNaturalNumber0(esk1_2(sdtpldt0(xp,xn),sdtpldt0(xp,xn)))|~aNaturalNumber0(sdtpldt0(xp,xn))),inference(spm,[status(thm)],[84,28310,theory(equality)])).
% cnf(28313,plain,(sdtpldt0(sdtpldt0(xp,xn),esk1_2(sdtpldt0(xp,xn),sdtpldt0(xp,xn)))=sdtpldt0(xp,xn)|~aNaturalNumber0(sdtpldt0(xp,xn))),inference(spm,[status(thm)],[83,28310,theory(equality)])).
% cnf(28320,plain,(aNaturalNumber0(esk1_2(sdtpldt0(xp,xn),sdtpldt0(xp,xn)))|$false),inference(rw,[status(thm)],[28312,2175,theory(equality)])).
% cnf(28321,plain,(aNaturalNumber0(esk1_2(sdtpldt0(xp,xn),sdtpldt0(xp,xn)))),inference(cn,[status(thm)],[28320,theory(equality)])).
% cnf(28322,plain,(sdtpldt0(sdtpldt0(xp,xn),esk1_2(sdtpldt0(xp,xn),sdtpldt0(xp,xn)))=sdtpldt0(xp,xn)|$false),inference(rw,[status(thm)],[28313,2175,theory(equality)])).
% cnf(28323,plain,(sdtpldt0(sdtpldt0(xp,xn),esk1_2(sdtpldt0(xp,xn),sdtpldt0(xp,xn)))=sdtpldt0(xp,xn)),inference(cn,[status(thm)],[28322,theory(equality)])).
% cnf(28337,plain,(esk1_2(sdtpldt0(xp,xn),sdtpldt0(xp,xn))=sz00|~aNaturalNumber0(sdtpldt0(xp,xn))|~aNaturalNumber0(esk1_2(sdtpldt0(xp,xn),sdtpldt0(xp,xn)))),inference(spm,[status(thm)],[458,28323,theory(equality)])).
% cnf(28382,plain,(esk1_2(sdtpldt0(xp,xn),sdtpldt0(xp,xn))=sz00|$false|~aNaturalNumber0(esk1_2(sdtpldt0(xp,xn),sdtpldt0(xp,xn)))),inference(rw,[status(thm)],[28337,2175,theory(equality)])).
% cnf(28383,plain,(esk1_2(sdtpldt0(xp,xn),sdtpldt0(xp,xn))=sz00|$false|$false),inference(rw,[status(thm)],[28382,28321,theory(equality)])).
% cnf(28384,plain,(esk1_2(sdtpldt0(xp,xn),sdtpldt0(xp,xn))=sz00),inference(cn,[status(thm)],[28383,theory(equality)])).
% cnf(28519,plain,(sdtpldt0(sdtpldt0(xp,xn),sz00)=sdtpldt0(xp,xn)),inference(rw,[status(thm)],[28323,28384,theory(equality)])).
% cnf(28573,plain,(sdtpldt0(xp,xn)=sdtpldt0(xn,sdtpldt0(xp,sz00))|~aNaturalNumber0(sz00)|~aNaturalNumber0(xp)|~aNaturalNumber0(xn)),inference(spm,[status(thm)],[496,28519,theory(equality)])).
% cnf(28704,plain,(sdtpldt0(xp,xn)=sdtpldt0(xn,sdtpldt0(xp,sz00))|$false|~aNaturalNumber0(xp)|~aNaturalNumber0(xn)),inference(rw,[status(thm)],[28573,222,theory(equality)])).
% cnf(28705,plain,(sdtpldt0(xp,xn)=sdtpldt0(xn,sdtpldt0(xp,sz00))|$false|$false|~aNaturalNumber0(xn)),inference(rw,[status(thm)],[28704,135,theory(equality)])).
% cnf(28706,plain,(sdtpldt0(xp,xn)=sdtpldt0(xn,sdtpldt0(xp,sz00))|$false|$false|$false),inference(rw,[status(thm)],[28705,137,theory(equality)])).
% cnf(28707,plain,(sdtpldt0(xp,xn)=sdtpldt0(xn,sdtpldt0(xp,sz00))),inference(cn,[status(thm)],[28706,theory(equality)])).
% cnf(28729,plain,(sdtmndt0(sdtpldt0(xp,xn),xn)=sdtpldt0(xp,sz00)|~aNaturalNumber0(sdtpldt0(xp,sz00))|~aNaturalNumber0(xn)),inference(spm,[status(thm)],[19290,28707,theory(equality)])).
% cnf(28802,plain,(xp=sdtpldt0(xp,sz00)|~aNaturalNumber0(sdtpldt0(xp,sz00))|~aNaturalNumber0(xn)),inference(rw,[status(thm)],[28729,20556,theory(equality)])).
% cnf(28803,plain,(xp=sdtpldt0(xp,sz00)|~aNaturalNumber0(sdtpldt0(xp,sz00))|$false),inference(rw,[status(thm)],[28802,137,theory(equality)])).
% cnf(28804,plain,(xp=sdtpldt0(xp,sz00)|~aNaturalNumber0(sdtpldt0(xp,sz00))),inference(cn,[status(thm)],[28803,theory(equality)])).
% cnf(29475,plain,(sdtpldt0(xp,sz00)=xp|~aNaturalNumber0(sz00)|~aNaturalNumber0(xp)),inference(spm,[status(thm)],[28804,52,theory(equality)])).
% cnf(29483,plain,(sdtpldt0(xp,sz00)=xp|$false|~aNaturalNumber0(xp)),inference(rw,[status(thm)],[29475,222,theory(equality)])).
% cnf(29484,plain,(sdtpldt0(xp,sz00)=xp|$false|$false),inference(rw,[status(thm)],[29483,135,theory(equality)])).
% cnf(29485,plain,(sdtpldt0(xp,sz00)=xp),inference(cn,[status(thm)],[29484,theory(equality)])).
% cnf(29488,plain,(sdtpldt0(sz00,xp)=xp|~aNaturalNumber0(xp)|~aNaturalNumber0(sz00)),inference(spm,[status(thm)],[58,29485,theory(equality)])).
% cnf(29536,plain,(sdtpldt0(sz00,xp)=xp|$false|~aNaturalNumber0(sz00)),inference(rw,[status(thm)],[29488,135,theory(equality)])).
% cnf(29537,plain,(sdtpldt0(sz00,xp)=xp|$false|$false),inference(rw,[status(thm)],[29536,222,theory(equality)])).
% cnf(29538,plain,(sdtpldt0(sz00,xp)=xp),inference(cn,[status(thm)],[29537,theory(equality)])).
% cnf(35877,plain,(sdtasdt0(sz10,xp)=sdtpldt0(sdtasdt0(sz10,sz00),xp)|~aNaturalNumber0(sz00)|~aNaturalNumber0(xp)),inference(spm,[status(thm)],[749,29538,theory(equality)])).
% cnf(36100,plain,(sdtasdt0(sz10,xp)=xp|~aNaturalNumber0(sz00)|~aNaturalNumber0(xp)),inference(rw,[status(thm)],[inference(rw,[status(thm)],[35877,6049,theory(equality)]),29538,theory(equality)])).
% cnf(36101,plain,(sdtasdt0(sz10,xp)=xp|$false|~aNaturalNumber0(xp)),inference(rw,[status(thm)],[36100,222,theory(equality)])).
% cnf(36102,plain,(sdtasdt0(sz10,xp)=xp|$false|$false),inference(rw,[status(thm)],[36101,135,theory(equality)])).
% cnf(36103,plain,(sdtasdt0(sz10,xp)=xp),inference(cn,[status(thm)],[36102,theory(equality)])).
% cnf(36192,plain,(doDivides0(sz10,xp)|~aNaturalNumber0(xp)|~aNaturalNumber0(sz10)),inference(spm,[status(thm)],[13063,36103,theory(equality)])).
% cnf(36272,plain,(doDivides0(sz10,xp)|$false|~aNaturalNumber0(sz10)),inference(rw,[status(thm)],[36192,135,theory(equality)])).
% cnf(36273,plain,(doDivides0(sz10,xp)|$false|$false),inference(rw,[status(thm)],[36272,224,theory(equality)])).
% cnf(36274,plain,(doDivides0(sz10,xp)),inference(cn,[status(thm)],[36273,theory(equality)])).
% cnf(68341,plain,(sdtpldt0(xp,sdtpldt0(xr,X1))=sdtpldt0(xn,X1)|~aNaturalNumber0(X1)|$false),inference(rw,[status(thm)],[963,978,theory(equality)])).
% cnf(68342,plain,(sdtpldt0(xp,sdtpldt0(xr,X1))=sdtpldt0(xn,X1)|~aNaturalNumber0(X1)),inference(cn,[status(thm)],[68341,theory(equality)])).
% cnf(68437,plain,(sdtpldt0(xp,xn)=sdtpldt0(xn,sdtmndt0(xn,xr))|~aNaturalNumber0(sdtmndt0(xn,xr))),inference(spm,[status(thm)],[68342,13828,theory(equality)])).
% cnf(68641,plain,(sdtpldt0(xp,xn)=sdtpldt0(xn,sdtmndt0(xn,xr))|$false),inference(rw,[status(thm)],[68437,11378,theory(equality)])).
% cnf(68642,plain,(sdtpldt0(xp,xn)=sdtpldt0(xn,sdtmndt0(xn,xr))),inference(cn,[status(thm)],[68641,theory(equality)])).
% cnf(69928,plain,(xp=sdtmndt0(xn,xr)|~aNaturalNumber0(sdtmndt0(xn,xr))),inference(spm,[status(thm)],[20583,68642,theory(equality)])).
% cnf(70156,plain,(xp=sdtmndt0(xn,xr)|$false),inference(rw,[status(thm)],[69928,11378,theory(equality)])).
% cnf(70157,plain,(xp=sdtmndt0(xn,xr)),inference(cn,[status(thm)],[70156,theory(equality)])).
% cnf(70170,plain,(sdtpldt0(xr,xp)=xn),inference(rw,[status(thm)],[13828,70157,theory(equality)])).
% cnf(70232,plain,(sdtpldt0(xp,sdtpldt0(X1,xr))=sdtpldt0(X1,xn)|~aNaturalNumber0(xp)|~aNaturalNumber0(xr)|~aNaturalNumber0(X1)),inference(spm,[status(thm)],[7648,70170,theory(equality)])).
% cnf(70401,plain,(sdtpldt0(xp,sdtpldt0(X1,xr))=sdtpldt0(X1,xn)|$false|~aNaturalNumber0(xr)|~aNaturalNumber0(X1)),inference(rw,[status(thm)],[70232,135,theory(equality)])).
% cnf(70402,plain,(sdtpldt0(xp,sdtpldt0(X1,xr))=sdtpldt0(X1,xn)|$false|$false|~aNaturalNumber0(X1)),inference(rw,[status(thm)],[70401,978,theory(equality)])).
% cnf(70403,plain,(sdtpldt0(xp,sdtpldt0(X1,xr))=sdtpldt0(X1,xn)|~aNaturalNumber0(X1)),inference(cn,[status(thm)],[70402,theory(equality)])).
% cnf(70563,plain,(doDivides0(X1,xr)|~doDivides0(X1,xn)|~doDivides0(X1,xp)|$false|~aNaturalNumber0(X1)),inference(rw,[status(thm)],[973,978,theory(equality)])).
% cnf(70564,plain,(doDivides0(X1,xr)|~doDivides0(X1,xn)|~doDivides0(X1,xp)|~aNaturalNumber0(X1)),inference(cn,[status(thm)],[70563,theory(equality)])).
% cnf(70567,plain,(doDivides0(sz10,xr)|~doDivides0(sz10,xp)|~aNaturalNumber0(sz10)|~aNaturalNumber0(xn)),inference(spm,[status(thm)],[70564,550,theory(equality)])).
% cnf(70575,plain,(doDivides0(sz10,xr)|$false|~aNaturalNumber0(sz10)|~aNaturalNumber0(xn)),inference(rw,[status(thm)],[70567,36274,theory(equality)])).
% cnf(70576,plain,(doDivides0(sz10,xr)|$false|$false|~aNaturalNumber0(xn)),inference(rw,[status(thm)],[70575,224,theory(equality)])).
% cnf(70577,plain,(doDivides0(sz10,xr)|$false|$false|$false),inference(rw,[status(thm)],[70576,137,theory(equality)])).
% cnf(70578,plain,(doDivides0(sz10,xr)),inference(cn,[status(thm)],[70577,theory(equality)])).
% cnf(70587,plain,(aNaturalNumber0(esk2_2(sz10,xr))|~aNaturalNumber0(sz10)|~aNaturalNumber0(xr)),inference(spm,[status(thm)],[124,70578,theory(equality)])).
% cnf(70588,plain,(sdtasdt0(sz10,esk2_2(sz10,xr))=xr|~aNaturalNumber0(sz10)|~aNaturalNumber0(xr)),inference(spm,[status(thm)],[123,70578,theory(equality)])).
% cnf(70597,plain,(aNaturalNumber0(esk2_2(sz10,xr))|$false|~aNaturalNumber0(xr)),inference(rw,[status(thm)],[70587,224,theory(equality)])).
% cnf(70598,plain,(aNaturalNumber0(esk2_2(sz10,xr))|$false|$false),inference(rw,[status(thm)],[70597,978,theory(equality)])).
% cnf(70599,plain,(aNaturalNumber0(esk2_2(sz10,xr))),inference(cn,[status(thm)],[70598,theory(equality)])).
% cnf(70600,plain,(sdtasdt0(sz10,esk2_2(sz10,xr))=xr|$false|~aNaturalNumber0(xr)),inference(rw,[status(thm)],[70588,224,theory(equality)])).
% cnf(70601,plain,(sdtasdt0(sz10,esk2_2(sz10,xr))=xr|$false|$false),inference(rw,[status(thm)],[70600,978,theory(equality)])).
% cnf(70602,plain,(sdtasdt0(sz10,esk2_2(sz10,xr))=xr),inference(cn,[status(thm)],[70601,theory(equality)])).
% cnf(71321,plain,(sdtasdt0(sz10,xr)=xr|~aNaturalNumber0(esk2_2(sz10,xr))|~aNaturalNumber0(sz10)),inference(spm,[status(thm)],[695,70602,theory(equality)])).
% cnf(71459,plain,(sdtasdt0(sz10,xr)=xr|$false|~aNaturalNumber0(sz10)),inference(rw,[status(thm)],[71321,70599,theory(equality)])).
% cnf(71460,plain,(sdtasdt0(sz10,xr)=xr|$false|$false),inference(rw,[status(thm)],[71459,224,theory(equality)])).
% cnf(71461,plain,(sdtasdt0(sz10,xr)=xr),inference(cn,[status(thm)],[71460,theory(equality)])).
% cnf(71689,plain,(sz00=sz10|sdtlseqdt0(xr,xr)|~aNaturalNumber0(sz10)|~aNaturalNumber0(xr)),inference(spm,[status(thm)],[362,71461,theory(equality)])).
% cnf(71804,plain,(sz00=sz10|sdtlseqdt0(xr,xr)|$false|~aNaturalNumber0(xr)),inference(rw,[status(thm)],[71689,224,theory(equality)])).
% cnf(71805,plain,(sz00=sz10|sdtlseqdt0(xr,xr)|$false|$false),inference(rw,[status(thm)],[71804,978,theory(equality)])).
% cnf(71806,plain,(sz00=sz10|sdtlseqdt0(xr,xr)),inference(cn,[status(thm)],[71805,theory(equality)])).
% cnf(71807,plain,(sdtlseqdt0(xr,xr)),inference(sr,[status(thm)],[71806,223,theory(equality)])).
% cnf(72036,plain,(aNaturalNumber0(sdtmndt0(xr,xr))|~aNaturalNumber0(xr)),inference(spm,[status(thm)],[511,71807,theory(equality)])).
% cnf(72039,plain,(sdtpldt0(xr,sdtmndt0(xr,xr))=xr|~aNaturalNumber0(xr)),inference(spm,[status(thm)],[558,71807,theory(equality)])).
% cnf(72046,plain,(aNaturalNumber0(sdtmndt0(xr,xr))|$false),inference(rw,[status(thm)],[72036,978,theory(equality)])).
% cnf(72047,plain,(aNaturalNumber0(sdtmndt0(xr,xr))),inference(cn,[status(thm)],[72046,theory(equality)])).
% cnf(72052,plain,(sdtpldt0(xr,sdtmndt0(xr,xr))=xr|$false),inference(rw,[status(thm)],[72039,978,theory(equality)])).
% cnf(72053,plain,(sdtpldt0(xr,sdtmndt0(xr,xr))=xr),inference(cn,[status(thm)],[72052,theory(equality)])).
% cnf(72342,plain,(sdtmndt0(xr,xr)=sz00|~aNaturalNumber0(xr)|~aNaturalNumber0(sdtmndt0(xr,xr))),inference(spm,[status(thm)],[458,72053,theory(equality)])).
% cnf(72411,plain,(sdtmndt0(xr,xr)=sz00|$false|~aNaturalNumber0(sdtmndt0(xr,xr))),inference(rw,[status(thm)],[72342,978,theory(equality)])).
% cnf(72412,plain,(sdtmndt0(xr,xr)=sz00|$false|$false),inference(rw,[status(thm)],[72411,72047,theory(equality)])).
% cnf(72413,plain,(sdtmndt0(xr,xr)=sz00),inference(cn,[status(thm)],[72412,theory(equality)])).
% cnf(72614,plain,(sdtpldt0(xr,sz00)=xr),inference(rw,[status(thm)],[72053,72413,theory(equality)])).
% cnf(72650,plain,(aNaturalNumber0(sdtpldt0(X1,xr))|~aNaturalNumber0(sz00)|~aNaturalNumber0(xr)|~aNaturalNumber0(X1)),inference(spm,[status(thm)],[8472,72614,theory(equality)])).
% cnf(72787,plain,(aNaturalNumber0(sdtpldt0(X1,xr))|$false|~aNaturalNumber0(xr)|~aNaturalNumber0(X1)),inference(rw,[status(thm)],[72650,222,theory(equality)])).
% cnf(72788,plain,(aNaturalNumber0(sdtpldt0(X1,xr))|$false|$false|~aNaturalNumber0(X1)),inference(rw,[status(thm)],[72787,978,theory(equality)])).
% cnf(72789,plain,(aNaturalNumber0(sdtpldt0(X1,xr))|~aNaturalNumber0(X1)),inference(cn,[status(thm)],[72788,theory(equality)])).
% cnf(77812,plain,(aNaturalNumber0(sdtpldt0(xr,X1))|~aNaturalNumber0(X1)|~aNaturalNumber0(xr)),inference(spm,[status(thm)],[72789,58,theory(equality)])).
% cnf(77834,plain,(aNaturalNumber0(sdtpldt0(xr,X1))|~aNaturalNumber0(X1)|$false),inference(rw,[status(thm)],[77812,978,theory(equality)])).
% cnf(77835,plain,(aNaturalNumber0(sdtpldt0(xr,X1))|~aNaturalNumber0(X1)),inference(cn,[status(thm)],[77834,theory(equality)])).
% cnf(82582,plain,(sdtpldt0(xn,X1)=sdtpldt0(X1,xr)|sdtlseqdt0(sdtpldt0(sdtpldt0(X1,xr),X2),sdtpldt0(sdtpldt0(xn,X1),X2))|~aNaturalNumber0(sdtpldt0(X1,xr))|~aNaturalNumber0(X1)|~aNaturalNumber0(X2)),inference(csr,[status(thm)],[1155,9651])).
% cnf(82583,plain,(sdtpldt0(xn,X1)=sdtpldt0(X1,xr)|sdtlseqdt0(sdtpldt0(sdtpldt0(X1,xr),X2),sdtpldt0(sdtpldt0(xn,X1),X2))|~aNaturalNumber0(X1)|~aNaturalNumber0(X2)),inference(csr,[status(thm)],[82582,72789])).
% cnf(82597,negated_conjecture,(sdtpldt0(sdtpldt0(xm,xr),xp)=sdtpldt0(sdtpldt0(xn,xm),xp)|sdtpldt0(xn,xm)=sdtpldt0(xm,xr)|~aNaturalNumber0(xp)|~aNaturalNumber0(xm)),inference(spm,[status(thm)],[1598,82583,theory(equality)])).
% cnf(82655,negated_conjecture,(sdtpldt0(sdtpldt0(xm,xr),xp)=sdtpldt0(sdtpldt0(xn,xm),xp)|sdtpldt0(xn,xm)=sdtpldt0(xm,xr)|$false|~aNaturalNumber0(xm)),inference(rw,[status(thm)],[82597,135,theory(equality)])).
% cnf(82656,negated_conjecture,(sdtpldt0(sdtpldt0(xm,xr),xp)=sdtpldt0(sdtpldt0(xn,xm),xp)|sdtpldt0(xn,xm)=sdtpldt0(xm,xr)|$false|$false),inference(rw,[status(thm)],[82655,136,theory(equality)])).
% cnf(82657,negated_conjecture,(sdtpldt0(sdtpldt0(xm,xr),xp)=sdtpldt0(sdtpldt0(xn,xm),xp)|sdtpldt0(xn,xm)=sdtpldt0(xm,xr)),inference(cn,[status(thm)],[82656,theory(equality)])).
% cnf(82834,negated_conjecture,(sdtpldt0(sdtpldt0(xn,xm),xp)=sdtpldt0(xm,sdtpldt0(xr,xp))|sdtpldt0(xm,xr)=sdtpldt0(xn,xm)|~aNaturalNumber0(xp)|~aNaturalNumber0(xr)|~aNaturalNumber0(xm)),inference(spm,[status(thm)],[61,82657,theory(equality)])).
% cnf(82984,negated_conjecture,(sdtpldt0(sdtpldt0(xn,xm),xp)=sdtpldt0(xm,xn)|sdtpldt0(xm,xr)=sdtpldt0(xn,xm)|~aNaturalNumber0(xp)|~aNaturalNumber0(xr)|~aNaturalNumber0(xm)),inference(rw,[status(thm)],[82834,70170,theory(equality)])).
% cnf(82985,negated_conjecture,(sdtpldt0(sdtpldt0(xn,xm),xp)=sdtpldt0(xm,xn)|sdtpldt0(xm,xr)=sdtpldt0(xn,xm)|$false|~aNaturalNumber0(xr)|~aNaturalNumber0(xm)),inference(rw,[status(thm)],[82984,135,theory(equality)])).
% cnf(82986,negated_conjecture,(sdtpldt0(sdtpldt0(xn,xm),xp)=sdtpldt0(xm,xn)|sdtpldt0(xm,xr)=sdtpldt0(xn,xm)|$false|$false|~aNaturalNumber0(xm)),inference(rw,[status(thm)],[82985,978,theory(equality)])).
% cnf(82987,negated_conjecture,(sdtpldt0(sdtpldt0(xn,xm),xp)=sdtpldt0(xm,xn)|sdtpldt0(xm,xr)=sdtpldt0(xn,xm)|$false|$false|$false),inference(rw,[status(thm)],[82986,136,theory(equality)])).
% cnf(82988,negated_conjecture,(sdtpldt0(sdtpldt0(xn,xm),xp)=sdtpldt0(xm,xn)|sdtpldt0(xm,xr)=sdtpldt0(xn,xm)),inference(cn,[status(thm)],[82987,theory(equality)])).
% cnf(91942,plain,(sdtpldt0(xr,X1)=sdtpldt0(xn,X1)|sdtlseqdt0(sdtpldt0(sdtpldt0(xr,X1),X2),sdtpldt0(sdtpldt0(xn,X1),X2))|~aNaturalNumber0(sdtpldt0(xr,X1))|~aNaturalNumber0(X1)|~aNaturalNumber0(X2)),inference(csr,[status(thm)],[1447,9651])).
% cnf(91943,plain,(sdtpldt0(xr,X1)=sdtpldt0(xn,X1)|sdtlseqdt0(sdtpldt0(sdtpldt0(xr,X1),X2),sdtpldt0(sdtpldt0(xn,X1),X2))|~aNaturalNumber0(X1)|~aNaturalNumber0(X2)),inference(csr,[status(thm)],[91942,77835])).
% cnf(91958,negated_conjecture,(sdtpldt0(sdtpldt0(xr,xm),xp)=sdtpldt0(sdtpldt0(xn,xm),xp)|sdtpldt0(xr,xm)=sdtpldt0(xn,xm)|~aNaturalNumber0(xp)|~aNaturalNumber0(xm)),inference(spm,[status(thm)],[233,91943,theory(equality)])).
% cnf(92041,negated_conjecture,(sdtpldt0(sdtpldt0(xr,xm),xp)=sdtpldt0(sdtpldt0(xn,xm),xp)|sdtpldt0(xr,xm)=sdtpldt0(xn,xm)|$false|~aNaturalNumber0(xm)),inference(rw,[status(thm)],[91958,135,theory(equality)])).
% cnf(92042,negated_conjecture,(sdtpldt0(sdtpldt0(xr,xm),xp)=sdtpldt0(sdtpldt0(xn,xm),xp)|sdtpldt0(xr,xm)=sdtpldt0(xn,xm)|$false|$false),inference(rw,[status(thm)],[92041,136,theory(equality)])).
% cnf(92043,negated_conjecture,(sdtpldt0(sdtpldt0(xr,xm),xp)=sdtpldt0(sdtpldt0(xn,xm),xp)|sdtpldt0(xr,xm)=sdtpldt0(xn,xm)),inference(cn,[status(thm)],[92042,theory(equality)])).
% cnf(92267,negated_conjecture,(sdtpldt0(sdtpldt0(xn,xm),xp)=sdtpldt0(xm,sdtpldt0(xr,xp))|sdtpldt0(xr,xm)=sdtpldt0(xn,xm)|~aNaturalNumber0(xp)|~aNaturalNumber0(xr)|~aNaturalNumber0(xm)),inference(spm,[status(thm)],[496,92043,theory(equality)])).
% cnf(92430,negated_conjecture,(sdtpldt0(sdtpldt0(xn,xm),xp)=sdtpldt0(xm,xn)|sdtpldt0(xr,xm)=sdtpldt0(xn,xm)|~aNaturalNumber0(xp)|~aNaturalNumber0(xr)|~aNaturalNumber0(xm)),inference(rw,[status(thm)],[92267,70170,theory(equality)])).
% cnf(92431,negated_conjecture,(sdtpldt0(sdtpldt0(xn,xm),xp)=sdtpldt0(xm,xn)|sdtpldt0(xr,xm)=sdtpldt0(xn,xm)|$false|~aNaturalNumber0(xr)|~aNaturalNumber0(xm)),inference(rw,[status(thm)],[92430,135,theory(equality)])).
% cnf(92432,negated_conjecture,(sdtpldt0(sdtpldt0(xn,xm),xp)=sdtpldt0(xm,xn)|sdtpldt0(xr,xm)=sdtpldt0(xn,xm)|$false|$false|~aNaturalNumber0(xm)),inference(rw,[status(thm)],[92431,978,theory(equality)])).
% cnf(92433,negated_conjecture,(sdtpldt0(sdtpldt0(xn,xm),xp)=sdtpldt0(xm,xn)|sdtpldt0(xr,xm)=sdtpldt0(xn,xm)|$false|$false|$false),inference(rw,[status(thm)],[92432,136,theory(equality)])).
% cnf(92434,negated_conjecture,(sdtpldt0(sdtpldt0(xn,xm),xp)=sdtpldt0(xm,xn)|sdtpldt0(xr,xm)=sdtpldt0(xn,xm)),inference(cn,[status(thm)],[92433,theory(equality)])).
% cnf(96173,negated_conjecture,(sdtpldt0(xm,xn)=sdtpldt0(xn,sdtpldt0(xm,xp))|sdtpldt0(xm,xr)=sdtpldt0(xn,xm)|~aNaturalNumber0(xp)|~aNaturalNumber0(xm)|~aNaturalNumber0(xn)),inference(spm,[status(thm)],[61,82988,theory(equality)])).
% cnf(96337,negated_conjecture,(sdtpldt0(xm,xn)=sdtpldt0(xn,sdtpldt0(xm,xp))|sdtpldt0(xm,xr)=sdtpldt0(xn,xm)|$false|~aNaturalNumber0(xm)|~aNaturalNumber0(xn)),inference(rw,[status(thm)],[96173,135,theory(equality)])).
% cnf(96338,negated_conjecture,(sdtpldt0(xm,xn)=sdtpldt0(xn,sdtpldt0(xm,xp))|sdtpldt0(xm,xr)=sdtpldt0(xn,xm)|$false|$false|~aNaturalNumber0(xn)),inference(rw,[status(thm)],[96337,136,theory(equality)])).
% cnf(96339,negated_conjecture,(sdtpldt0(xm,xn)=sdtpldt0(xn,sdtpldt0(xm,xp))|sdtpldt0(xm,xr)=sdtpldt0(xn,xm)|$false|$false|$false),inference(rw,[status(thm)],[96338,137,theory(equality)])).
% cnf(96340,negated_conjecture,(sdtpldt0(xm,xn)=sdtpldt0(xn,sdtpldt0(xm,xp))|sdtpldt0(xm,xr)=sdtpldt0(xn,xm)),inference(cn,[status(thm)],[96339,theory(equality)])).
% cnf(96610,negated_conjecture,(sdtpldt0(xm,xn)=sdtpldt0(xn,sdtpldt0(xm,xp))|sdtpldt0(xr,xm)=sdtpldt0(xn,xm)|~aNaturalNumber0(xp)|~aNaturalNumber0(xm)|~aNaturalNumber0(xn)),inference(spm,[status(thm)],[61,92434,theory(equality)])).
% cnf(96611,negated_conjecture,(sdtpldt0(xm,xn)=sdtpldt0(xm,sdtpldt0(xn,xp))|sdtpldt0(xr,xm)=sdtpldt0(xn,xm)|~aNaturalNumber0(xp)|~aNaturalNumber0(xn)|~aNaturalNumber0(xm)),inference(spm,[status(thm)],[496,92434,theory(equality)])).
% cnf(96774,negated_conjecture,(sdtpldt0(xm,xn)=sdtpldt0(xn,sdtpldt0(xm,xp))|sdtpldt0(xr,xm)=sdtpldt0(xn,xm)|$false|~aNaturalNumber0(xm)|~aNaturalNumber0(xn)),inference(rw,[status(thm)],[96610,135,theory(equality)])).
% cnf(96775,negated_conjecture,(sdtpldt0(xm,xn)=sdtpldt0(xn,sdtpldt0(xm,xp))|sdtpldt0(xr,xm)=sdtpldt0(xn,xm)|$false|$false|~aNaturalNumber0(xn)),inference(rw,[status(thm)],[96774,136,theory(equality)])).
% cnf(96776,negated_conjecture,(sdtpldt0(xm,xn)=sdtpldt0(xn,sdtpldt0(xm,xp))|sdtpldt0(xr,xm)=sdtpldt0(xn,xm)|$false|$false|$false),inference(rw,[status(thm)],[96775,137,theory(equality)])).
% cnf(96777,negated_conjecture,(sdtpldt0(xm,xn)=sdtpldt0(xn,sdtpldt0(xm,xp))|sdtpldt0(xr,xm)=sdtpldt0(xn,xm)),inference(cn,[status(thm)],[96776,theory(equality)])).
% cnf(96778,negated_conjecture,(sdtpldt0(xm,xn)=sdtpldt0(xm,sdtpldt0(xp,xn))|sdtpldt0(xr,xm)=sdtpldt0(xn,xm)|~aNaturalNumber0(xp)|~aNaturalNumber0(xn)|~aNaturalNumber0(xm)),inference(rw,[status(thm)],[96611,20375,theory(equality)])).
% cnf(96779,negated_conjecture,(sdtpldt0(xm,xn)=sdtpldt0(xm,sdtpldt0(xp,xn))|sdtpldt0(xr,xm)=sdtpldt0(xn,xm)|$false|~aNaturalNumber0(xn)|~aNaturalNumber0(xm)),inference(rw,[status(thm)],[96778,135,theory(equality)])).
% cnf(96780,negated_conjecture,(sdtpldt0(xm,xn)=sdtpldt0(xm,sdtpldt0(xp,xn))|sdtpldt0(xr,xm)=sdtpldt0(xn,xm)|$false|$false|~aNaturalNumber0(xm)),inference(rw,[status(thm)],[96779,137,theory(equality)])).
% cnf(96781,negated_conjecture,(sdtpldt0(xm,xn)=sdtpldt0(xm,sdtpldt0(xp,xn))|sdtpldt0(xr,xm)=sdtpldt0(xn,xm)|$false|$false|$false),inference(rw,[status(thm)],[96780,136,theory(equality)])).
% cnf(96782,negated_conjecture,(sdtpldt0(xm,xn)=sdtpldt0(xm,sdtpldt0(xp,xn))|sdtpldt0(xr,xm)=sdtpldt0(xn,xm)),inference(cn,[status(thm)],[96781,theory(equality)])).
% cnf(97232,negated_conjecture,(sdtpldt0(xp,sdtpldt0(xn,xm))=sdtpldt0(xm,xn)|sdtpldt0(xm,xr)=sdtpldt0(xn,xm)|~aNaturalNumber0(xp)|~aNaturalNumber0(xm)|~aNaturalNumber0(xn)),inference(spm,[status(thm)],[7648,96340,theory(equality)])).
% cnf(97274,negated_conjecture,(sdtpldt0(xn,sdtpldt0(xp,xm))=sdtpldt0(xm,xn)|sdtpldt0(xm,xr)=sdtpldt0(xn,xm)|~aNaturalNumber0(xm)|~aNaturalNumber0(xp)),inference(spm,[status(thm)],[96340,58,theory(equality)])).
% cnf(97437,negated_conjecture,(sdtpldt0(xp,sdtpldt0(xn,xm))=sdtpldt0(xm,xn)|sdtpldt0(xm,xr)=sdtpldt0(xn,xm)|$false|~aNaturalNumber0(xm)|~aNaturalNumber0(xn)),inference(rw,[status(thm)],[97232,135,theory(equality)])).
% cnf(97438,negated_conjecture,(sdtpldt0(xp,sdtpldt0(xn,xm))=sdtpldt0(xm,xn)|sdtpldt0(xm,xr)=sdtpldt0(xn,xm)|$false|$false|~aNaturalNumber0(xn)),inference(rw,[status(thm)],[97437,136,theory(equality)])).
% cnf(97439,negated_conjecture,(sdtpldt0(xp,sdtpldt0(xn,xm))=sdtpldt0(xm,xn)|sdtpldt0(xm,xr)=sdtpldt0(xn,xm)|$false|$false|$false),inference(rw,[status(thm)],[97438,137,theory(equality)])).
% cnf(97440,negated_conjecture,(sdtpldt0(xp,sdtpldt0(xn,xm))=sdtpldt0(xm,xn)|sdtpldt0(xm,xr)=sdtpldt0(xn,xm)),inference(cn,[status(thm)],[97439,theory(equality)])).
% cnf(97459,negated_conjecture,(sdtpldt0(xn,sdtpldt0(xp,xm))=sdtpldt0(xm,xn)|sdtpldt0(xm,xr)=sdtpldt0(xn,xm)|$false|~aNaturalNumber0(xp)),inference(rw,[status(thm)],[97274,136,theory(equality)])).
% cnf(97460,negated_conjecture,(sdtpldt0(xn,sdtpldt0(xp,xm))=sdtpldt0(xm,xn)|sdtpldt0(xm,xr)=sdtpldt0(xn,xm)|$false|$false),inference(rw,[status(thm)],[97459,135,theory(equality)])).
% cnf(97461,negated_conjecture,(sdtpldt0(xn,sdtpldt0(xp,xm))=sdtpldt0(xm,xn)|sdtpldt0(xm,xr)=sdtpldt0(xn,xm)),inference(cn,[status(thm)],[97460,theory(equality)])).
% cnf(101185,negated_conjecture,(sdtpldt0(xp,sdtpldt0(xn,xm))=sdtpldt0(xm,xn)|sdtpldt0(xr,xm)=sdtpldt0(xn,xm)|~aNaturalNumber0(xp)|~aNaturalNumber0(xm)|~aNaturalNumber0(xn)),inference(spm,[status(thm)],[7648,96777,theory(equality)])).
% cnf(101227,negated_conjecture,(sdtpldt0(xn,sdtpldt0(xp,xm))=sdtpldt0(xm,xn)|sdtpldt0(xr,xm)=sdtpldt0(xn,xm)|~aNaturalNumber0(xm)|~aNaturalNumber0(xp)),inference(spm,[status(thm)],[96777,58,theory(equality)])).
% cnf(101392,negated_conjecture,(sdtpldt0(xp,sdtpldt0(xn,xm))=sdtpldt0(xm,xn)|sdtpldt0(xr,xm)=sdtpldt0(xn,xm)|$false|~aNaturalNumber0(xm)|~aNaturalNumber0(xn)),inference(rw,[status(thm)],[101185,135,theory(equality)])).
% cnf(101393,negated_conjecture,(sdtpldt0(xp,sdtpldt0(xn,xm))=sdtpldt0(xm,xn)|sdtpldt0(xr,xm)=sdtpldt0(xn,xm)|$false|$false|~aNaturalNumber0(xn)),inference(rw,[status(thm)],[101392,136,theory(equality)])).
% cnf(101394,negated_conjecture,(sdtpldt0(xp,sdtpldt0(xn,xm))=sdtpldt0(xm,xn)|sdtpldt0(xr,xm)=sdtpldt0(xn,xm)|$false|$false|$false),inference(rw,[status(thm)],[101393,137,theory(equality)])).
% cnf(101395,negated_conjecture,(sdtpldt0(xp,sdtpldt0(xn,xm))=sdtpldt0(xm,xn)|sdtpldt0(xr,xm)=sdtpldt0(xn,xm)),inference(cn,[status(thm)],[101394,theory(equality)])).
% cnf(101414,negated_conjecture,(sdtpldt0(xn,sdtpldt0(xp,xm))=sdtpldt0(xm,xn)|sdtpldt0(xr,xm)=sdtpldt0(xn,xm)|$false|~aNaturalNumber0(xp)),inference(rw,[status(thm)],[101227,136,theory(equality)])).
% cnf(101415,negated_conjecture,(sdtpldt0(xn,sdtpldt0(xp,xm))=sdtpldt0(xm,xn)|sdtpldt0(xr,xm)=sdtpldt0(xn,xm)|$false|$false),inference(rw,[status(thm)],[101414,135,theory(equality)])).
% cnf(101416,negated_conjecture,(sdtpldt0(xn,sdtpldt0(xp,xm))=sdtpldt0(xm,xn)|sdtpldt0(xr,xm)=sdtpldt0(xn,xm)),inference(cn,[status(thm)],[101415,theory(equality)])).
% cnf(108507,negated_conjecture,(sdtpldt0(xm,xn)=sdtpldt0(xp,sdtpldt0(xm,xn))|sdtpldt0(xm,xr)=sdtpldt0(xn,xm)|~aNaturalNumber0(xn)|~aNaturalNumber0(xm)|~aNaturalNumber0(xp)),inference(spm,[status(thm)],[7648,97461,theory(equality)])).
% cnf(108709,negated_conjecture,(sdtpldt0(xm,xn)=sdtpldt0(xp,sdtpldt0(xm,xn))|sdtpldt0(xm,xr)=sdtpldt0(xn,xm)|$false|~aNaturalNumber0(xm)|~aNaturalNumber0(xp)),inference(rw,[status(thm)],[108507,137,theory(equality)])).
% cnf(108710,negated_conjecture,(sdtpldt0(xm,xn)=sdtpldt0(xp,sdtpldt0(xm,xn))|sdtpldt0(xm,xr)=sdtpldt0(xn,xm)|$false|$false|~aNaturalNumber0(xp)),inference(rw,[status(thm)],[108709,136,theory(equality)])).
% cnf(108711,negated_conjecture,(sdtpldt0(xm,xn)=sdtpldt0(xp,sdtpldt0(xm,xn))|sdtpldt0(xm,xr)=sdtpldt0(xn,xm)|$false|$false|$false),inference(rw,[status(thm)],[108710,135,theory(equality)])).
% cnf(108712,negated_conjecture,(sdtpldt0(xm,xn)=sdtpldt0(xp,sdtpldt0(xm,xn))|sdtpldt0(xm,xr)=sdtpldt0(xn,xm)),inference(cn,[status(thm)],[108711,theory(equality)])).
% cnf(110434,negated_conjecture,(sdtpldt0(xm,xn)=sdtpldt0(xp,sdtpldt0(xm,xn))|sdtpldt0(xr,xm)=sdtpldt0(xn,xm)|~aNaturalNumber0(xn)|~aNaturalNumber0(xm)|~aNaturalNumber0(xp)),inference(spm,[status(thm)],[7648,101416,theory(equality)])).
% cnf(110640,negated_conjecture,(sdtpldt0(xm,xn)=sdtpldt0(xp,sdtpldt0(xm,xn))|sdtpldt0(xr,xm)=sdtpldt0(xn,xm)|$false|~aNaturalNumber0(xm)|~aNaturalNumber0(xp)),inference(rw,[status(thm)],[110434,137,theory(equality)])).
% cnf(110641,negated_conjecture,(sdtpldt0(xm,xn)=sdtpldt0(xp,sdtpldt0(xm,xn))|sdtpldt0(xr,xm)=sdtpldt0(xn,xm)|$false|$false|~aNaturalNumber0(xp)),inference(rw,[status(thm)],[110640,136,theory(equality)])).
% cnf(110642,negated_conjecture,(sdtpldt0(xm,xn)=sdtpldt0(xp,sdtpldt0(xm,xn))|sdtpldt0(xr,xm)=sdtpldt0(xn,xm)|$false|$false|$false),inference(rw,[status(thm)],[110641,135,theory(equality)])).
% cnf(110643,negated_conjecture,(sdtpldt0(xm,xn)=sdtpldt0(xp,sdtpldt0(xm,xn))|sdtpldt0(xr,xm)=sdtpldt0(xn,xm)),inference(cn,[status(thm)],[110642,theory(equality)])).
% cnf(111130,negated_conjecture,(sdtpldt0(xp,sdtpldt0(xn,xm))=sdtpldt0(xn,xm)|sdtpldt0(xm,xr)=sdtpldt0(xn,xm)|~aNaturalNumber0(xm)|~aNaturalNumber0(xn)),inference(spm,[status(thm)],[108712,58,theory(equality)])).
% cnf(111329,negated_conjecture,(sdtpldt0(xp,sdtpldt0(xn,xm))=sdtpldt0(xn,xm)|sdtpldt0(xm,xr)=sdtpldt0(xn,xm)|$false|~aNaturalNumber0(xn)),inference(rw,[status(thm)],[111130,136,theory(equality)])).
% cnf(111330,negated_conjecture,(sdtpldt0(xp,sdtpldt0(xn,xm))=sdtpldt0(xn,xm)|sdtpldt0(xm,xr)=sdtpldt0(xn,xm)|$false|$false),inference(rw,[status(thm)],[111329,137,theory(equality)])).
% cnf(111331,negated_conjecture,(sdtpldt0(xp,sdtpldt0(xn,xm))=sdtpldt0(xn,xm)|sdtpldt0(xm,xr)=sdtpldt0(xn,xm)),inference(cn,[status(thm)],[111330,theory(equality)])).
% cnf(111485,negated_conjecture,(sdtpldt0(xp,sdtpldt0(xn,xm))=sdtpldt0(xn,xm)|sdtpldt0(xr,xm)=sdtpldt0(xn,xm)|~aNaturalNumber0(xm)|~aNaturalNumber0(xn)),inference(spm,[status(thm)],[110643,58,theory(equality)])).
% cnf(111684,negated_conjecture,(sdtpldt0(xp,sdtpldt0(xn,xm))=sdtpldt0(xn,xm)|sdtpldt0(xr,xm)=sdtpldt0(xn,xm)|$false|~aNaturalNumber0(xn)),inference(rw,[status(thm)],[111485,136,theory(equality)])).
% cnf(111685,negated_conjecture,(sdtpldt0(xp,sdtpldt0(xn,xm))=sdtpldt0(xn,xm)|sdtpldt0(xr,xm)=sdtpldt0(xn,xm)|$false|$false),inference(rw,[status(thm)],[111684,137,theory(equality)])).
% cnf(111686,negated_conjecture,(sdtpldt0(xp,sdtpldt0(xn,xm))=sdtpldt0(xn,xm)|sdtpldt0(xr,xm)=sdtpldt0(xn,xm)),inference(cn,[status(thm)],[111685,theory(equality)])).
% cnf(112020,negated_conjecture,(sdtpldt0(xn,xm)=sdtpldt0(xm,xn)|sdtpldt0(xm,xr)=sdtpldt0(xn,xm)),inference(spm,[status(thm)],[97440,111331,theory(equality)])).
% cnf(114359,negated_conjecture,(sdtpldt0(xn,xm)=sdtpldt0(xm,xn)|sdtpldt0(xr,xm)=sdtpldt0(xn,xm)),inference(spm,[status(thm)],[101395,111686,theory(equality)])).
% cnf(114633,negated_conjecture,(sdtpldt0(xp,sdtpldt0(xn,xm))=sdtpldt0(xn,xm)|sdtpldt0(xm,xn)=sdtpldt0(xn,xm)|~aNaturalNumber0(xm)),inference(spm,[status(thm)],[68342,114359,theory(equality)])).
% cnf(114900,negated_conjecture,(sdtpldt0(xp,sdtpldt0(xn,xm))=sdtpldt0(xn,xm)|sdtpldt0(xm,xn)=sdtpldt0(xn,xm)|$false),inference(rw,[status(thm)],[114633,136,theory(equality)])).
% cnf(114901,negated_conjecture,(sdtpldt0(xp,sdtpldt0(xn,xm))=sdtpldt0(xn,xm)|sdtpldt0(xm,xn)=sdtpldt0(xn,xm)),inference(cn,[status(thm)],[114900,theory(equality)])).
% cnf(160287,negated_conjecture,(sdtpldt0(xp,sdtpldt0(xn,xm))=sdtpldt0(xm,xn)|sdtpldt0(xm,xn)=sdtpldt0(xn,xm)|~aNaturalNumber0(xm)),inference(spm,[status(thm)],[70403,112020,theory(equality)])).
% cnf(160556,negated_conjecture,(sdtpldt0(xp,sdtpldt0(xn,xm))=sdtpldt0(xm,xn)|sdtpldt0(xm,xn)=sdtpldt0(xn,xm)|$false),inference(rw,[status(thm)],[160287,136,theory(equality)])).
% cnf(160557,negated_conjecture,(sdtpldt0(xp,sdtpldt0(xn,xm))=sdtpldt0(xm,xn)|sdtpldt0(xm,xn)=sdtpldt0(xn,xm)),inference(cn,[status(thm)],[160556,theory(equality)])).
% cnf(162898,negated_conjecture,(sdtpldt0(xm,xn)=sdtpldt0(xn,xm)),inference(spm,[status(thm)],[114901,160557,theory(equality)])).
% cnf(163124,negated_conjecture,(sdtmndt0(sdtpldt0(xn,xm),xm)=xn|~aNaturalNumber0(xn)|~aNaturalNumber0(xm)),inference(spm,[status(thm)],[19290,162898,theory(equality)])).
% cnf(163274,negated_conjecture,(sdtpldt0(xm,sdtpldt0(xp,xn))=sdtpldt0(xn,xm)|sdtpldt0(xr,xm)=sdtpldt0(xn,xm)),inference(rw,[status(thm)],[96782,162898,theory(equality)])).
% cnf(163325,negated_conjecture,(sdtmndt0(sdtpldt0(xn,xm),xm)=xn|$false|~aNaturalNumber0(xm)),inference(rw,[status(thm)],[163124,137,theory(equality)])).
% cnf(163326,negated_conjecture,(sdtmndt0(sdtpldt0(xn,xm),xm)=xn|$false|$false),inference(rw,[status(thm)],[163325,136,theory(equality)])).
% cnf(163327,negated_conjecture,(sdtmndt0(sdtpldt0(xn,xm),xm)=xn),inference(cn,[status(thm)],[163326,theory(equality)])).
% cnf(168632,negated_conjecture,(sdtmndt0(sdtpldt0(xn,xm),xm)=sdtpldt0(xp,xn)|sdtpldt0(xr,xm)=sdtpldt0(xn,xm)|~aNaturalNumber0(sdtpldt0(xp,xn))|~aNaturalNumber0(xm)),inference(spm,[status(thm)],[19290,163274,theory(equality)])).
% cnf(168766,negated_conjecture,(xn=sdtpldt0(xp,xn)|sdtpldt0(xr,xm)=sdtpldt0(xn,xm)|~aNaturalNumber0(sdtpldt0(xp,xn))|~aNaturalNumber0(xm)),inference(rw,[status(thm)],[168632,163327,theory(equality)])).
% cnf(168767,negated_conjecture,(xn=sdtpldt0(xp,xn)|sdtpldt0(xr,xm)=sdtpldt0(xn,xm)|$false|~aNaturalNumber0(xm)),inference(rw,[status(thm)],[168766,2175,theory(equality)])).
% cnf(168768,negated_conjecture,(xn=sdtpldt0(xp,xn)|sdtpldt0(xr,xm)=sdtpldt0(xn,xm)|$false|$false),inference(rw,[status(thm)],[168767,136,theory(equality)])).
% cnf(168769,negated_conjecture,(xn=sdtpldt0(xp,xn)|sdtpldt0(xr,xm)=sdtpldt0(xn,xm)),inference(cn,[status(thm)],[168768,theory(equality)])).
% cnf(168770,negated_conjecture,(sdtpldt0(xr,xm)=sdtpldt0(xn,xm)),inference(sr,[status(thm)],[168769,11211,theory(equality)])).
% cnf(169428,negated_conjecture,(sdtpldt0(xm,xr)=sdtpldt0(xn,xm)|~aNaturalNumber0(xr)|~aNaturalNumber0(xm)),inference(spm,[status(thm)],[58,168770,theory(equality)])).
% cnf(169564,negated_conjecture,(sdtpldt0(xm,xr)=sdtpldt0(xn,xm)|$false|~aNaturalNumber0(xm)),inference(rw,[status(thm)],[169428,978,theory(equality)])).
% cnf(169565,negated_conjecture,(sdtpldt0(xm,xr)=sdtpldt0(xn,xm)|$false|$false),inference(rw,[status(thm)],[169564,136,theory(equality)])).
% cnf(169566,negated_conjecture,(sdtpldt0(xm,xr)=sdtpldt0(xn,xm)),inference(cn,[status(thm)],[169565,theory(equality)])).
% cnf(169906,negated_conjecture,(sdtmndt0(sdtpldt0(xn,xm),xm)=xr|~aNaturalNumber0(xr)|~aNaturalNumber0(xm)),inference(spm,[status(thm)],[19290,169566,theory(equality)])).
% cnf(170065,negated_conjecture,(xn=xr|~aNaturalNumber0(xr)|~aNaturalNumber0(xm)),inference(rw,[status(thm)],[169906,163327,theory(equality)])).
% cnf(170066,negated_conjecture,(xn=xr|$false|~aNaturalNumber0(xm)),inference(rw,[status(thm)],[170065,978,theory(equality)])).
% cnf(170067,negated_conjecture,(xn=xr|$false|$false),inference(rw,[status(thm)],[170066,136,theory(equality)])).
% cnf(170068,negated_conjecture,(xn=xr),inference(cn,[status(thm)],[170067,theory(equality)])).
% cnf(170069,negated_conjecture,($false),inference(sr,[status(thm)],[170068,146,theory(equality)])).
% cnf(170070,negated_conjecture,($false),170069,['proof']).
% # SZS output end CNFRefutation
% # Processed clauses                  : 4926
% # ...of these trivial                : 322
% # ...subsumed                        : 2319
% # ...remaining for further processing: 2285
% # Other redundant clauses eliminated : 90
% # Clauses deleted for lack of memory : 0
% # Backward-subsumed                  : 128
% # Backward-rewritten                 : 543
% # Generated clauses                  : 53965
% # ...of the previous two non-trivial : 47395
% # Contextual simplify-reflections    : 654
% # Paramodulations                    : 53718
% # Factorizations                     : 10
% # Equation resolutions               : 235
% # Current number of processed clauses: 1537
% #    Positive orientable unit clauses: 492
% #    Positive unorientable unit clauses: 0
% #    Negative unit clauses           : 22
% #    Non-unit-clauses                : 1023
% # Current number of unprocessed clauses: 32844
% # ...number of literals in the above : 154599
% # Clause-clause subsumption calls (NU) : 32755
% # Rec. Clause-clause subsumption calls : 18281
% # Unit Clause-clause subsumption calls : 1325
% # Rewrite failures with RHS unbound  : 0
% # Indexed BW rewrite attempts        : 1169
% # Indexed BW rewrite successes       : 139
% # Backwards rewriting index:  1159 leaves,   1.42+/-1.373 terms/leaf
% # Paramod-from index:          708 leaves,   1.36+/-1.352 terms/leaf
% # Paramod-into index:         1048 leaves,   1.39+/-1.331 terms/leaf
% # -------------------------------------------------
% # User time              : 2.638 s
% # System time            : 0.114 s
% # Total time             : 2.752 s
% # Maximum resident set size: 0 pages
% PrfWatch: 5.10 CPU 5.83 WC
% FINAL PrfWatch: 5.10 CPU 5.83 WC
% SZS output end Solution for /tmp/SystemOnTPTP30239/NUM494+1.tptp
% 
%------------------------------------------------------------------------------