TSTP Solution File: NUM459+1 by SRASS---0.1
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- Process Solution
%------------------------------------------------------------------------------
% File : SRASS---0.1
% Problem : NUM459+1 : TPTP v5.0.0. Released v4.0.0.
% Transfm : none
% Format : tptp
% Command : SRASS -q2 -a 0 10 10 10 -i3 -n60 %s
% Computer : art07.cs.miami.edu
% Model : i686 i686
% CPU : Intel(R) Pentium(R) 4 CPU 2.80GHz @ 2793MHz
% Memory : 2018MB
% OS : Linux 2.6.26.8-57.fc8
% CPULimit : 300s
% DateTime : Wed Dec 29 19:18:26 EST 2010
% Result : Theorem 31.31s
% Output : Solution 31.31s
% 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/SystemOnTPTP19178/NUM459+1.tptp
% Adding relevance values
% Extracting the conjecture
% Sorting axioms by relevance
% Looking for THM ...
% found
% SZS status THM for /tmp/SystemOnTPTP19178/NUM459+1.tptp
% SZS output start Solution for /tmp/SystemOnTPTP19178/NUM459+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 19274
% TreeLimitedRun: ----------------------------------------------------------
% PrfWatch: 0.00 CPU 0.02 WC
% PrfWatch: 1.91 CPU 2.02 WC
% PrfWatch: 3.89 CPU 4.03 WC
% PrfWatch: 5.88 CPU 6.03 WC
% PrfWatch: 7.48 CPU 8.04 WC
% PrfWatch: 9.12 CPU 10.04 WC
% PrfWatch: 11.11 CPU 12.04 WC
% PrfWatch: 13.10 CPU 14.05 WC
% PrfWatch: 15.07 CPU 16.05 WC
% PrfWatch: 17.07 CPU 18.06 WC
% # Preprocessing time : 0.014 s
% # Problem is unsatisfiable (or provable), constructing proof object
% # SZS status Theorem
% PrfWatch: 19.04 CPU 20.06 WC
% PrfWatch: 21.03 CPU 22.07 WC
% PrfWatch: 23.03 CPU 24.07 WC
% PrfWatch: 25.02 CPU 26.08 WC
% PrfWatch: 27.01 CPU 28.08 WC
% PrfWatch: 29.01 CPU 30.09 WC
% # SZS output start CNFRefutation.
% fof(2, axiom,(aNaturalNumber0(xm)&aNaturalNumber0(xn)),file('/tmp/SRASS.s.p', m__745)).
% fof(3, axiom,![X1]:![X2]:((aNaturalNumber0(X1)&aNaturalNumber0(X2))=>(sdtlseqdt0(X1,X2)<=>?[X3]:(aNaturalNumber0(X3)&sdtpldt0(X1,X3)=X2))),file('/tmp/SRASS.s.p', mDefLE)).
% fof(4, axiom,![X1]:![X2]:((aNaturalNumber0(X1)&aNaturalNumber0(X2))=>aNaturalNumber0(sdtpldt0(X1,X2))),file('/tmp/SRASS.s.p', mSortsB)).
% fof(5, axiom,![X1]:![X2]:((aNaturalNumber0(X1)&aNaturalNumber0(X2))=>sdtpldt0(X1,X2)=sdtpldt0(X2,X1)),file('/tmp/SRASS.s.p', mAddComm)).
% fof(6, 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(7, 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(8, 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(9, axiom,aNaturalNumber0(sz00),file('/tmp/SRASS.s.p', mSortsC)).
% fof(14, axiom,![X1]:(aNaturalNumber0(X1)=>(sdtpldt0(X1,sz00)=X1&X1=sdtpldt0(sz00,X1))),file('/tmp/SRASS.s.p', m_AddZero)).
% fof(15, axiom,![X1]:![X2]:((aNaturalNumber0(X1)&aNaturalNumber0(X2))=>(sdtpldt0(X1,X2)=sz00=>(X1=sz00&X2=sz00))),file('/tmp/SRASS.s.p', mZeroAdd)).
% fof(22, conjecture,((sdtlseqdt0(xm,xn)&sdtlseqdt0(xn,xm))=>xm=xn),file('/tmp/SRASS.s.p', m__)).
% fof(23, negated_conjecture,~(((sdtlseqdt0(xm,xn)&sdtlseqdt0(xn,xm))=>xm=xn)),inference(assume_negation,[status(cth)],[22])).
% cnf(28,plain,(aNaturalNumber0(xn)),inference(split_conjunct,[status(thm)],[2])).
% cnf(29,plain,(aNaturalNumber0(xm)),inference(split_conjunct,[status(thm)],[2])).
% fof(30, 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)],[3])).
% fof(31, 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)],[30])).
% fof(32, 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)],[31])).
% fof(33, 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)],[32])).
% fof(34, 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)],[33])).
% cnf(35,plain,(sdtpldt0(X2,esk1_2(X2,X1))=X1|~aNaturalNumber0(X1)|~aNaturalNumber0(X2)|~sdtlseqdt0(X2,X1)),inference(split_conjunct,[status(thm)],[34])).
% cnf(36,plain,(aNaturalNumber0(esk1_2(X2,X1))|~aNaturalNumber0(X1)|~aNaturalNumber0(X2)|~sdtlseqdt0(X2,X1)),inference(split_conjunct,[status(thm)],[34])).
% cnf(37,plain,(sdtlseqdt0(X2,X1)|~aNaturalNumber0(X1)|~aNaturalNumber0(X2)|sdtpldt0(X2,X3)!=X1|~aNaturalNumber0(X3)),inference(split_conjunct,[status(thm)],[34])).
% fof(38, plain,![X1]:![X2]:((~(aNaturalNumber0(X1))|~(aNaturalNumber0(X2)))|aNaturalNumber0(sdtpldt0(X1,X2))),inference(fof_nnf,[status(thm)],[4])).
% fof(39, plain,![X3]:![X4]:((~(aNaturalNumber0(X3))|~(aNaturalNumber0(X4)))|aNaturalNumber0(sdtpldt0(X3,X4))),inference(variable_rename,[status(thm)],[38])).
% cnf(40,plain,(aNaturalNumber0(sdtpldt0(X1,X2))|~aNaturalNumber0(X2)|~aNaturalNumber0(X1)),inference(split_conjunct,[status(thm)],[39])).
% fof(41, plain,![X1]:![X2]:((~(aNaturalNumber0(X1))|~(aNaturalNumber0(X2)))|sdtpldt0(X1,X2)=sdtpldt0(X2,X1)),inference(fof_nnf,[status(thm)],[5])).
% fof(42, plain,![X3]:![X4]:((~(aNaturalNumber0(X3))|~(aNaturalNumber0(X4)))|sdtpldt0(X3,X4)=sdtpldt0(X4,X3)),inference(variable_rename,[status(thm)],[41])).
% cnf(43,plain,(sdtpldt0(X1,X2)=sdtpldt0(X2,X1)|~aNaturalNumber0(X2)|~aNaturalNumber0(X1)),inference(split_conjunct,[status(thm)],[42])).
% fof(44, 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)],[6])).
% fof(45, 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)],[44])).
% cnf(46,plain,(sdtpldt0(sdtpldt0(X1,X2),X3)=sdtpldt0(X1,sdtpldt0(X2,X3))|~aNaturalNumber0(X3)|~aNaturalNumber0(X2)|~aNaturalNumber0(X1)),inference(split_conjunct,[status(thm)],[45])).
% fof(47, 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)],[7])).
% fof(48, 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)],[47])).
% fof(49, 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)],[48])).
% cnf(50,plain,(X2=X1|~aNaturalNumber0(X1)|~aNaturalNumber0(X2)|~aNaturalNumber0(X3)|sdtpldt0(X2,X3)!=sdtpldt0(X1,X3)),inference(split_conjunct,[status(thm)],[49])).
% cnf(51,plain,(X2=X1|~aNaturalNumber0(X1)|~aNaturalNumber0(X2)|~aNaturalNumber0(X3)|sdtpldt0(X3,X2)!=sdtpldt0(X3,X1)),inference(split_conjunct,[status(thm)],[49])).
% fof(52, 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)],[8])).
% fof(53, 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)],[52])).
% fof(54, 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)],[53])).
% fof(55, 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)],[54])).
% cnf(56,plain,(X3=sdtmndt0(X1,X2)|~aNaturalNumber0(X1)|~aNaturalNumber0(X2)|~sdtlseqdt0(X2,X1)|sdtpldt0(X2,X3)!=X1|~aNaturalNumber0(X3)),inference(split_conjunct,[status(thm)],[55])).
% cnf(57,plain,(sdtpldt0(X2,X3)=X1|~aNaturalNumber0(X1)|~aNaturalNumber0(X2)|~sdtlseqdt0(X2,X1)|X3!=sdtmndt0(X1,X2)),inference(split_conjunct,[status(thm)],[55])).
% cnf(58,plain,(aNaturalNumber0(X3)|~aNaturalNumber0(X1)|~aNaturalNumber0(X2)|~sdtlseqdt0(X2,X1)|X3!=sdtmndt0(X1,X2)),inference(split_conjunct,[status(thm)],[55])).
% cnf(59,plain,(aNaturalNumber0(sz00)),inference(split_conjunct,[status(thm)],[9])).
% fof(74, plain,![X1]:(~(aNaturalNumber0(X1))|(sdtpldt0(X1,sz00)=X1&X1=sdtpldt0(sz00,X1))),inference(fof_nnf,[status(thm)],[14])).
% fof(75, plain,![X2]:(~(aNaturalNumber0(X2))|(sdtpldt0(X2,sz00)=X2&X2=sdtpldt0(sz00,X2))),inference(variable_rename,[status(thm)],[74])).
% fof(76, plain,![X2]:((sdtpldt0(X2,sz00)=X2|~(aNaturalNumber0(X2)))&(X2=sdtpldt0(sz00,X2)|~(aNaturalNumber0(X2)))),inference(distribute,[status(thm)],[75])).
% cnf(78,plain,(sdtpldt0(X1,sz00)=X1|~aNaturalNumber0(X1)),inference(split_conjunct,[status(thm)],[76])).
% fof(79, plain,![X1]:![X2]:((~(aNaturalNumber0(X1))|~(aNaturalNumber0(X2)))|(~(sdtpldt0(X1,X2)=sz00)|(X1=sz00&X2=sz00))),inference(fof_nnf,[status(thm)],[15])).
% fof(80, plain,![X3]:![X4]:((~(aNaturalNumber0(X3))|~(aNaturalNumber0(X4)))|(~(sdtpldt0(X3,X4)=sz00)|(X3=sz00&X4=sz00))),inference(variable_rename,[status(thm)],[79])).
% fof(81, plain,![X3]:![X4]:(((X3=sz00|~(sdtpldt0(X3,X4)=sz00))|(~(aNaturalNumber0(X3))|~(aNaturalNumber0(X4))))&((X4=sz00|~(sdtpldt0(X3,X4)=sz00))|(~(aNaturalNumber0(X3))|~(aNaturalNumber0(X4))))),inference(distribute,[status(thm)],[80])).
% cnf(82,plain,(X1=sz00|~aNaturalNumber0(X1)|~aNaturalNumber0(X2)|sdtpldt0(X2,X1)!=sz00),inference(split_conjunct,[status(thm)],[81])).
% fof(107, negated_conjecture,((sdtlseqdt0(xm,xn)&sdtlseqdt0(xn,xm))&~(xm=xn)),inference(fof_nnf,[status(thm)],[23])).
% cnf(108,negated_conjecture,(xm!=xn),inference(split_conjunct,[status(thm)],[107])).
% cnf(109,negated_conjecture,(sdtlseqdt0(xn,xm)),inference(split_conjunct,[status(thm)],[107])).
% cnf(110,negated_conjecture,(sdtlseqdt0(xm,xn)),inference(split_conjunct,[status(thm)],[107])).
% cnf(137,negated_conjecture,(aNaturalNumber0(esk1_2(xn,xm))|~aNaturalNumber0(xn)|~aNaturalNumber0(xm)),inference(spm,[status(thm)],[36,109,theory(equality)])).
% cnf(138,negated_conjecture,(aNaturalNumber0(esk1_2(xm,xn))|~aNaturalNumber0(xm)|~aNaturalNumber0(xn)),inference(spm,[status(thm)],[36,110,theory(equality)])).
% cnf(140,negated_conjecture,(aNaturalNumber0(esk1_2(xn,xm))|$false|~aNaturalNumber0(xm)),inference(rw,[status(thm)],[137,28,theory(equality)])).
% cnf(141,negated_conjecture,(aNaturalNumber0(esk1_2(xn,xm))|$false|$false),inference(rw,[status(thm)],[140,29,theory(equality)])).
% cnf(142,negated_conjecture,(aNaturalNumber0(esk1_2(xn,xm))),inference(cn,[status(thm)],[141,theory(equality)])).
% cnf(143,negated_conjecture,(aNaturalNumber0(esk1_2(xm,xn))|$false|~aNaturalNumber0(xn)),inference(rw,[status(thm)],[138,29,theory(equality)])).
% cnf(144,negated_conjecture,(aNaturalNumber0(esk1_2(xm,xn))|$false|$false),inference(rw,[status(thm)],[143,28,theory(equality)])).
% cnf(145,negated_conjecture,(aNaturalNumber0(esk1_2(xm,xn))),inference(cn,[status(thm)],[144,theory(equality)])).
% cnf(198,plain,(aNaturalNumber0(sdtmndt0(X1,X2))|~sdtlseqdt0(X2,X1)|~aNaturalNumber0(X2)|~aNaturalNumber0(X1)),inference(er,[status(thm)],[58,theory(equality)])).
% cnf(199,plain,(sdtlseqdt0(X1,sdtpldt0(X1,X2))|~aNaturalNumber0(X2)|~aNaturalNumber0(X1)|~aNaturalNumber0(sdtpldt0(X1,X2))),inference(er,[status(thm)],[37,theory(equality)])).
% cnf(212,plain,(X1=sz00|sdtpldt0(X2,X1)!=X2|~aNaturalNumber0(X2)|~aNaturalNumber0(sz00)|~aNaturalNumber0(X1)),inference(spm,[status(thm)],[51,78,theory(equality)])).
% cnf(221,plain,(X1=sz00|sdtpldt0(X2,X1)!=X2|~aNaturalNumber0(X2)|$false|~aNaturalNumber0(X1)),inference(rw,[status(thm)],[212,59,theory(equality)])).
% cnf(222,plain,(X1=sz00|sdtpldt0(X2,X1)!=X2|~aNaturalNumber0(X2)|~aNaturalNumber0(X1)),inference(cn,[status(thm)],[221,theory(equality)])).
% cnf(244,negated_conjecture,(sdtpldt0(xn,esk1_2(xn,xm))=xm|~aNaturalNumber0(xn)|~aNaturalNumber0(xm)),inference(spm,[status(thm)],[35,109,theory(equality)])).
% cnf(245,negated_conjecture,(sdtpldt0(xm,esk1_2(xm,xn))=xn|~aNaturalNumber0(xm)|~aNaturalNumber0(xn)),inference(spm,[status(thm)],[35,110,theory(equality)])).
% cnf(247,negated_conjecture,(sdtpldt0(xn,esk1_2(xn,xm))=xm|$false|~aNaturalNumber0(xm)),inference(rw,[status(thm)],[244,28,theory(equality)])).
% cnf(248,negated_conjecture,(sdtpldt0(xn,esk1_2(xn,xm))=xm|$false|$false),inference(rw,[status(thm)],[247,29,theory(equality)])).
% cnf(249,negated_conjecture,(sdtpldt0(xn,esk1_2(xn,xm))=xm),inference(cn,[status(thm)],[248,theory(equality)])).
% cnf(250,negated_conjecture,(sdtpldt0(xm,esk1_2(xm,xn))=xn|$false|~aNaturalNumber0(xn)),inference(rw,[status(thm)],[245,29,theory(equality)])).
% cnf(251,negated_conjecture,(sdtpldt0(xm,esk1_2(xm,xn))=xn|$false|$false),inference(rw,[status(thm)],[250,28,theory(equality)])).
% cnf(252,negated_conjecture,(sdtpldt0(xm,esk1_2(xm,xn))=xn),inference(cn,[status(thm)],[251,theory(equality)])).
% cnf(253,plain,(sdtpldt0(X1,sdtmndt0(X2,X1))=X2|~sdtlseqdt0(X1,X2)|~aNaturalNumber0(X1)|~aNaturalNumber0(X2)),inference(er,[status(thm)],[57,theory(equality)])).
% cnf(304,plain,(sdtmndt0(X1,X2)=X3|sdtpldt0(X2,X3)!=X1|~aNaturalNumber0(X3)|~aNaturalNumber0(X2)|~aNaturalNumber0(X1)),inference(csr,[status(thm)],[56,37])).
% cnf(305,plain,(sdtmndt0(sdtpldt0(X1,X2),X1)=X2|~aNaturalNumber0(X2)|~aNaturalNumber0(X1)|~aNaturalNumber0(sdtpldt0(X1,X2))),inference(er,[status(thm)],[304,theory(equality)])).
% cnf(318,plain,(sdtpldt0(X1,sdtpldt0(X2,X3))=sdtpldt0(X2,sdtpldt0(X3,X1))|~aNaturalNumber0(sdtpldt0(X2,X3))|~aNaturalNumber0(X1)|~aNaturalNumber0(X3)|~aNaturalNumber0(X2)),inference(spm,[status(thm)],[43,46,theory(equality)])).
% cnf(457,negated_conjecture,(X1=xn|sdtpldt0(X1,esk1_2(xn,xm))!=xm|~aNaturalNumber0(esk1_2(xn,xm))|~aNaturalNumber0(xn)|~aNaturalNumber0(X1)),inference(spm,[status(thm)],[50,249,theory(equality)])).
% cnf(458,negated_conjecture,(sdtmndt0(X1,xn)=esk1_2(xn,xm)|xm!=X1|~aNaturalNumber0(esk1_2(xn,xm))|~aNaturalNumber0(xn)|~aNaturalNumber0(X1)),inference(spm,[status(thm)],[304,249,theory(equality)])).
% cnf(476,negated_conjecture,(X1=xn|sdtpldt0(X1,esk1_2(xn,xm))!=xm|$false|~aNaturalNumber0(xn)|~aNaturalNumber0(X1)),inference(rw,[status(thm)],[457,142,theory(equality)])).
% cnf(477,negated_conjecture,(X1=xn|sdtpldt0(X1,esk1_2(xn,xm))!=xm|$false|$false|~aNaturalNumber0(X1)),inference(rw,[status(thm)],[476,28,theory(equality)])).
% cnf(478,negated_conjecture,(X1=xn|sdtpldt0(X1,esk1_2(xn,xm))!=xm|~aNaturalNumber0(X1)),inference(cn,[status(thm)],[477,theory(equality)])).
% cnf(479,negated_conjecture,(sdtmndt0(X1,xn)=esk1_2(xn,xm)|xm!=X1|$false|~aNaturalNumber0(xn)|~aNaturalNumber0(X1)),inference(rw,[status(thm)],[458,142,theory(equality)])).
% cnf(480,negated_conjecture,(sdtmndt0(X1,xn)=esk1_2(xn,xm)|xm!=X1|$false|$false|~aNaturalNumber0(X1)),inference(rw,[status(thm)],[479,28,theory(equality)])).
% cnf(481,negated_conjecture,(sdtmndt0(X1,xn)=esk1_2(xn,xm)|xm!=X1|~aNaturalNumber0(X1)),inference(cn,[status(thm)],[480,theory(equality)])).
% cnf(498,negated_conjecture,(X1=xm|sdtpldt0(X1,esk1_2(xm,xn))!=xn|~aNaturalNumber0(esk1_2(xm,xn))|~aNaturalNumber0(xm)|~aNaturalNumber0(X1)),inference(spm,[status(thm)],[50,252,theory(equality)])).
% cnf(499,negated_conjecture,(sdtmndt0(X1,xm)=esk1_2(xm,xn)|xn!=X1|~aNaturalNumber0(esk1_2(xm,xn))|~aNaturalNumber0(xm)|~aNaturalNumber0(X1)),inference(spm,[status(thm)],[304,252,theory(equality)])).
% cnf(517,negated_conjecture,(X1=xm|sdtpldt0(X1,esk1_2(xm,xn))!=xn|$false|~aNaturalNumber0(xm)|~aNaturalNumber0(X1)),inference(rw,[status(thm)],[498,145,theory(equality)])).
% cnf(518,negated_conjecture,(X1=xm|sdtpldt0(X1,esk1_2(xm,xn))!=xn|$false|$false|~aNaturalNumber0(X1)),inference(rw,[status(thm)],[517,29,theory(equality)])).
% cnf(519,negated_conjecture,(X1=xm|sdtpldt0(X1,esk1_2(xm,xn))!=xn|~aNaturalNumber0(X1)),inference(cn,[status(thm)],[518,theory(equality)])).
% cnf(520,negated_conjecture,(sdtmndt0(X1,xm)=esk1_2(xm,xn)|xn!=X1|$false|~aNaturalNumber0(xm)|~aNaturalNumber0(X1)),inference(rw,[status(thm)],[499,145,theory(equality)])).
% cnf(521,negated_conjecture,(sdtmndt0(X1,xm)=esk1_2(xm,xn)|xn!=X1|$false|$false|~aNaturalNumber0(X1)),inference(rw,[status(thm)],[520,29,theory(equality)])).
% cnf(522,negated_conjecture,(sdtmndt0(X1,xm)=esk1_2(xm,xn)|xn!=X1|~aNaturalNumber0(X1)),inference(cn,[status(thm)],[521,theory(equality)])).
% cnf(551,negated_conjecture,(X1=xn|sdtpldt0(esk1_2(xn,xm),X1)!=xm|~aNaturalNumber0(X1)|~aNaturalNumber0(esk1_2(xn,xm))),inference(spm,[status(thm)],[478,43,theory(equality)])).
% cnf(558,negated_conjecture,(X1=xn|sdtpldt0(esk1_2(xn,xm),X1)!=xm|~aNaturalNumber0(X1)|$false),inference(rw,[status(thm)],[551,142,theory(equality)])).
% cnf(559,negated_conjecture,(X1=xn|sdtpldt0(esk1_2(xn,xm),X1)!=xm|~aNaturalNumber0(X1)),inference(cn,[status(thm)],[558,theory(equality)])).
% cnf(564,negated_conjecture,(X1=xm|sdtpldt0(esk1_2(xm,xn),X1)!=xn|~aNaturalNumber0(X1)|~aNaturalNumber0(esk1_2(xm,xn))),inference(spm,[status(thm)],[519,43,theory(equality)])).
% cnf(571,negated_conjecture,(X1=xm|sdtpldt0(esk1_2(xm,xn),X1)!=xn|~aNaturalNumber0(X1)|$false),inference(rw,[status(thm)],[564,145,theory(equality)])).
% cnf(572,negated_conjecture,(X1=xm|sdtpldt0(esk1_2(xm,xn),X1)!=xn|~aNaturalNumber0(X1)),inference(cn,[status(thm)],[571,theory(equality)])).
% cnf(651,negated_conjecture,(sdtmndt0(xm,xn)=esk1_2(xn,xm)|~aNaturalNumber0(xm)),inference(er,[status(thm)],[481,theory(equality)])).
% cnf(652,negated_conjecture,(sdtmndt0(xm,xn)=esk1_2(xn,xm)|$false),inference(rw,[status(thm)],[651,29,theory(equality)])).
% cnf(653,negated_conjecture,(sdtmndt0(xm,xn)=esk1_2(xn,xm)),inference(cn,[status(thm)],[652,theory(equality)])).
% cnf(654,negated_conjecture,(X1=xn|sdtpldt0(sdtmndt0(xm,xn),X1)!=xm|~aNaturalNumber0(X1)),inference(rw,[status(thm)],[559,653,theory(equality)])).
% cnf(661,negated_conjecture,(sdtpldt0(xn,sdtmndt0(xm,xn))=xm),inference(rw,[status(thm)],[249,653,theory(equality)])).
% cnf(662,negated_conjecture,(aNaturalNumber0(sdtmndt0(xm,xn))),inference(rw,[status(thm)],[142,653,theory(equality)])).
% cnf(666,negated_conjecture,(sdtpldt0(xm,X1)=sdtpldt0(xn,sdtpldt0(sdtmndt0(xm,xn),X1))|~aNaturalNumber0(X1)|~aNaturalNumber0(sdtmndt0(xm,xn))|~aNaturalNumber0(xn)),inference(spm,[status(thm)],[46,661,theory(equality)])).
% cnf(683,negated_conjecture,(sdtpldt0(xm,X1)=sdtpldt0(xn,sdtpldt0(sdtmndt0(xm,xn),X1))|~aNaturalNumber0(X1)|$false|~aNaturalNumber0(xn)),inference(rw,[status(thm)],[666,662,theory(equality)])).
% cnf(684,negated_conjecture,(sdtpldt0(xm,X1)=sdtpldt0(xn,sdtpldt0(sdtmndt0(xm,xn),X1))|~aNaturalNumber0(X1)|$false|$false),inference(rw,[status(thm)],[683,28,theory(equality)])).
% cnf(685,negated_conjecture,(sdtpldt0(xm,X1)=sdtpldt0(xn,sdtpldt0(sdtmndt0(xm,xn),X1))|~aNaturalNumber0(X1)),inference(cn,[status(thm)],[684,theory(equality)])).
% cnf(750,negated_conjecture,(sdtmndt0(xn,xm)=esk1_2(xm,xn)|~aNaturalNumber0(xn)),inference(er,[status(thm)],[522,theory(equality)])).
% cnf(751,negated_conjecture,(sdtmndt0(xn,xm)=esk1_2(xm,xn)|$false),inference(rw,[status(thm)],[750,28,theory(equality)])).
% cnf(752,negated_conjecture,(sdtmndt0(xn,xm)=esk1_2(xm,xn)),inference(cn,[status(thm)],[751,theory(equality)])).
% cnf(754,negated_conjecture,(X1=xm|sdtpldt0(sdtmndt0(xn,xm),X1)!=xn|~aNaturalNumber0(X1)),inference(rw,[status(thm)],[572,752,theory(equality)])).
% cnf(759,negated_conjecture,(sdtpldt0(xm,sdtmndt0(xn,xm))=xn),inference(rw,[status(thm)],[252,752,theory(equality)])).
% cnf(761,negated_conjecture,(aNaturalNumber0(sdtmndt0(xn,xm))),inference(rw,[status(thm)],[145,752,theory(equality)])).
% cnf(765,negated_conjecture,(sdtpldt0(xn,X1)=sdtpldt0(xm,sdtpldt0(sdtmndt0(xn,xm),X1))|~aNaturalNumber0(X1)|~aNaturalNumber0(sdtmndt0(xn,xm))|~aNaturalNumber0(xm)),inference(spm,[status(thm)],[46,759,theory(equality)])).
% cnf(782,negated_conjecture,(sdtpldt0(xn,X1)=sdtpldt0(xm,sdtpldt0(sdtmndt0(xn,xm),X1))|~aNaturalNumber0(X1)|$false|~aNaturalNumber0(xm)),inference(rw,[status(thm)],[765,761,theory(equality)])).
% cnf(783,negated_conjecture,(sdtpldt0(xn,X1)=sdtpldt0(xm,sdtpldt0(sdtmndt0(xn,xm),X1))|~aNaturalNumber0(X1)|$false|$false),inference(rw,[status(thm)],[782,29,theory(equality)])).
% cnf(784,negated_conjecture,(sdtpldt0(xn,X1)=sdtpldt0(xm,sdtpldt0(sdtmndt0(xn,xm),X1))|~aNaturalNumber0(X1)),inference(cn,[status(thm)],[783,theory(equality)])).
% cnf(972,plain,(sdtlseqdt0(X1,sdtpldt0(X1,X2))|~aNaturalNumber0(X2)|~aNaturalNumber0(X1)),inference(csr,[status(thm)],[199,40])).
% cnf(983,plain,(sdtlseqdt0(X1,sdtpldt0(X2,X1))|~aNaturalNumber0(X2)|~aNaturalNumber0(X1)),inference(spm,[status(thm)],[972,43,theory(equality)])).
% cnf(1003,plain,(sdtlseqdt0(X1,sdtpldt0(X2,sdtpldt0(X3,X1)))|~aNaturalNumber0(sdtpldt0(X2,X3))|~aNaturalNumber0(X1)|~aNaturalNumber0(X3)|~aNaturalNumber0(X2)),inference(spm,[status(thm)],[983,46,theory(equality)])).
% cnf(1004,negated_conjecture,(sdtlseqdt0(sdtmndt0(xm,xn),xm)|~aNaturalNumber0(xn)|~aNaturalNumber0(sdtmndt0(xm,xn))),inference(spm,[status(thm)],[983,661,theory(equality)])).
% cnf(1005,negated_conjecture,(sdtlseqdt0(sdtmndt0(xn,xm),xn)|~aNaturalNumber0(xm)|~aNaturalNumber0(sdtmndt0(xn,xm))),inference(spm,[status(thm)],[983,759,theory(equality)])).
% cnf(1011,negated_conjecture,(sdtlseqdt0(sdtmndt0(xm,xn),xm)|$false|~aNaturalNumber0(sdtmndt0(xm,xn))),inference(rw,[status(thm)],[1004,28,theory(equality)])).
% cnf(1012,negated_conjecture,(sdtlseqdt0(sdtmndt0(xm,xn),xm)|$false|$false),inference(rw,[status(thm)],[1011,662,theory(equality)])).
% cnf(1013,negated_conjecture,(sdtlseqdt0(sdtmndt0(xm,xn),xm)),inference(cn,[status(thm)],[1012,theory(equality)])).
% cnf(1014,negated_conjecture,(sdtlseqdt0(sdtmndt0(xn,xm),xn)|$false|~aNaturalNumber0(sdtmndt0(xn,xm))),inference(rw,[status(thm)],[1005,29,theory(equality)])).
% cnf(1015,negated_conjecture,(sdtlseqdt0(sdtmndt0(xn,xm),xn)|$false|$false),inference(rw,[status(thm)],[1014,761,theory(equality)])).
% cnf(1016,negated_conjecture,(sdtlseqdt0(sdtmndt0(xn,xm),xn)),inference(cn,[status(thm)],[1015,theory(equality)])).
% cnf(1020,negated_conjecture,(aNaturalNumber0(esk1_2(sdtmndt0(xm,xn),xm))|~aNaturalNumber0(sdtmndt0(xm,xn))|~aNaturalNumber0(xm)),inference(spm,[status(thm)],[36,1013,theory(equality)])).
% cnf(1021,negated_conjecture,(sdtpldt0(sdtmndt0(xm,xn),esk1_2(sdtmndt0(xm,xn),xm))=xm|~aNaturalNumber0(sdtmndt0(xm,xn))|~aNaturalNumber0(xm)),inference(spm,[status(thm)],[35,1013,theory(equality)])).
% cnf(1025,negated_conjecture,(aNaturalNumber0(esk1_2(sdtmndt0(xm,xn),xm))|$false|~aNaturalNumber0(xm)),inference(rw,[status(thm)],[1020,662,theory(equality)])).
% cnf(1026,negated_conjecture,(aNaturalNumber0(esk1_2(sdtmndt0(xm,xn),xm))|$false|$false),inference(rw,[status(thm)],[1025,29,theory(equality)])).
% cnf(1027,negated_conjecture,(aNaturalNumber0(esk1_2(sdtmndt0(xm,xn),xm))),inference(cn,[status(thm)],[1026,theory(equality)])).
% cnf(1028,negated_conjecture,(sdtpldt0(sdtmndt0(xm,xn),esk1_2(sdtmndt0(xm,xn),xm))=xm|$false|~aNaturalNumber0(xm)),inference(rw,[status(thm)],[1021,662,theory(equality)])).
% cnf(1029,negated_conjecture,(sdtpldt0(sdtmndt0(xm,xn),esk1_2(sdtmndt0(xm,xn),xm))=xm|$false|$false),inference(rw,[status(thm)],[1028,29,theory(equality)])).
% cnf(1030,negated_conjecture,(sdtpldt0(sdtmndt0(xm,xn),esk1_2(sdtmndt0(xm,xn),xm))=xm),inference(cn,[status(thm)],[1029,theory(equality)])).
% cnf(1032,negated_conjecture,(aNaturalNumber0(esk1_2(sdtmndt0(xn,xm),xn))|~aNaturalNumber0(sdtmndt0(xn,xm))|~aNaturalNumber0(xn)),inference(spm,[status(thm)],[36,1016,theory(equality)])).
% cnf(1033,negated_conjecture,(sdtpldt0(sdtmndt0(xn,xm),esk1_2(sdtmndt0(xn,xm),xn))=xn|~aNaturalNumber0(sdtmndt0(xn,xm))|~aNaturalNumber0(xn)),inference(spm,[status(thm)],[35,1016,theory(equality)])).
% cnf(1037,negated_conjecture,(aNaturalNumber0(esk1_2(sdtmndt0(xn,xm),xn))|$false|~aNaturalNumber0(xn)),inference(rw,[status(thm)],[1032,761,theory(equality)])).
% cnf(1038,negated_conjecture,(aNaturalNumber0(esk1_2(sdtmndt0(xn,xm),xn))|$false|$false),inference(rw,[status(thm)],[1037,28,theory(equality)])).
% cnf(1039,negated_conjecture,(aNaturalNumber0(esk1_2(sdtmndt0(xn,xm),xn))),inference(cn,[status(thm)],[1038,theory(equality)])).
% cnf(1040,negated_conjecture,(sdtpldt0(sdtmndt0(xn,xm),esk1_2(sdtmndt0(xn,xm),xn))=xn|$false|~aNaturalNumber0(xn)),inference(rw,[status(thm)],[1033,761,theory(equality)])).
% cnf(1041,negated_conjecture,(sdtpldt0(sdtmndt0(xn,xm),esk1_2(sdtmndt0(xn,xm),xn))=xn|$false|$false),inference(rw,[status(thm)],[1040,28,theory(equality)])).
% cnf(1042,negated_conjecture,(sdtpldt0(sdtmndt0(xn,xm),esk1_2(sdtmndt0(xn,xm),xn))=xn),inference(cn,[status(thm)],[1041,theory(equality)])).
% cnf(1057,negated_conjecture,(esk1_2(sdtmndt0(xm,xn),xm)=xn|~aNaturalNumber0(esk1_2(sdtmndt0(xm,xn),xm))),inference(spm,[status(thm)],[654,1030,theory(equality)])).
% cnf(1102,negated_conjecture,(esk1_2(sdtmndt0(xm,xn),xm)=xn|$false),inference(rw,[status(thm)],[1057,1027,theory(equality)])).
% cnf(1103,negated_conjecture,(esk1_2(sdtmndt0(xm,xn),xm)=xn),inference(cn,[status(thm)],[1102,theory(equality)])).
% cnf(1130,negated_conjecture,(sdtpldt0(sdtmndt0(xm,xn),xn)=xm),inference(rw,[status(thm)],[1030,1103,theory(equality)])).
% cnf(1139,negated_conjecture,(sdtpldt0(xm,X1)=sdtpldt0(sdtmndt0(xm,xn),sdtpldt0(xn,X1))|~aNaturalNumber0(X1)|~aNaturalNumber0(xn)|~aNaturalNumber0(sdtmndt0(xm,xn))),inference(spm,[status(thm)],[46,1130,theory(equality)])).
% cnf(1174,negated_conjecture,(sdtpldt0(xm,X1)=sdtpldt0(sdtmndt0(xm,xn),sdtpldt0(xn,X1))|~aNaturalNumber0(X1)|$false|~aNaturalNumber0(sdtmndt0(xm,xn))),inference(rw,[status(thm)],[1139,28,theory(equality)])).
% cnf(1175,negated_conjecture,(sdtpldt0(xm,X1)=sdtpldt0(sdtmndt0(xm,xn),sdtpldt0(xn,X1))|~aNaturalNumber0(X1)|$false|$false),inference(rw,[status(thm)],[1174,662,theory(equality)])).
% cnf(1176,negated_conjecture,(sdtpldt0(xm,X1)=sdtpldt0(sdtmndt0(xm,xn),sdtpldt0(xn,X1))|~aNaturalNumber0(X1)),inference(cn,[status(thm)],[1175,theory(equality)])).
% cnf(1220,negated_conjecture,(esk1_2(sdtmndt0(xn,xm),xn)=xm|~aNaturalNumber0(esk1_2(sdtmndt0(xn,xm),xn))),inference(spm,[status(thm)],[754,1042,theory(equality)])).
% cnf(1268,negated_conjecture,(esk1_2(sdtmndt0(xn,xm),xn)=xm|$false),inference(rw,[status(thm)],[1220,1039,theory(equality)])).
% cnf(1269,negated_conjecture,(esk1_2(sdtmndt0(xn,xm),xn)=xm),inference(cn,[status(thm)],[1268,theory(equality)])).
% cnf(1270,negated_conjecture,(sdtpldt0(sdtmndt0(xn,xm),xm)=xn),inference(rw,[status(thm)],[1042,1269,theory(equality)])).
% cnf(1279,negated_conjecture,(sdtpldt0(xn,X1)=sdtpldt0(sdtmndt0(xn,xm),sdtpldt0(xm,X1))|~aNaturalNumber0(X1)|~aNaturalNumber0(xm)|~aNaturalNumber0(sdtmndt0(xn,xm))),inference(spm,[status(thm)],[46,1270,theory(equality)])).
% cnf(1314,negated_conjecture,(sdtpldt0(xn,X1)=sdtpldt0(sdtmndt0(xn,xm),sdtpldt0(xm,X1))|~aNaturalNumber0(X1)|$false|~aNaturalNumber0(sdtmndt0(xn,xm))),inference(rw,[status(thm)],[1279,29,theory(equality)])).
% cnf(1315,negated_conjecture,(sdtpldt0(xn,X1)=sdtpldt0(sdtmndt0(xn,xm),sdtpldt0(xm,X1))|~aNaturalNumber0(X1)|$false|$false),inference(rw,[status(thm)],[1314,761,theory(equality)])).
% cnf(1316,negated_conjecture,(sdtpldt0(xn,X1)=sdtpldt0(sdtmndt0(xn,xm),sdtpldt0(xm,X1))|~aNaturalNumber0(X1)),inference(cn,[status(thm)],[1315,theory(equality)])).
% cnf(1717,negated_conjecture,(sdtpldt0(xn,sdtmndt0(xm,xn))=sdtpldt0(xm,sz00)|~aNaturalNumber0(sz00)|~aNaturalNumber0(sdtmndt0(xm,xn))),inference(spm,[status(thm)],[685,78,theory(equality)])).
% cnf(1756,negated_conjecture,(xm=sdtpldt0(xm,sz00)|~aNaturalNumber0(sz00)|~aNaturalNumber0(sdtmndt0(xm,xn))),inference(rw,[status(thm)],[1717,661,theory(equality)])).
% cnf(1757,negated_conjecture,(xm=sdtpldt0(xm,sz00)|$false|~aNaturalNumber0(sdtmndt0(xm,xn))),inference(rw,[status(thm)],[1756,59,theory(equality)])).
% cnf(1758,negated_conjecture,(xm=sdtpldt0(xm,sz00)|$false|$false),inference(rw,[status(thm)],[1757,662,theory(equality)])).
% cnf(1759,negated_conjecture,(xm=sdtpldt0(xm,sz00)),inference(cn,[status(thm)],[1758,theory(equality)])).
% cnf(3679,plain,(sdtmndt0(sdtpldt0(X1,X2),X1)=X2|~aNaturalNumber0(X2)|~aNaturalNumber0(X1)),inference(csr,[status(thm)],[305,40])).
% cnf(3700,plain,(sdtmndt0(sdtpldt0(X2,X1),X1)=X2|~aNaturalNumber0(X2)|~aNaturalNumber0(X1)),inference(spm,[status(thm)],[3679,43,theory(equality)])).
% cnf(4299,plain,(sdtpldt0(X1,sdtpldt0(X2,X3))=sdtpldt0(X2,sdtpldt0(X3,X1))|~aNaturalNumber0(X1)|~aNaturalNumber0(X3)|~aNaturalNumber0(X2)),inference(csr,[status(thm)],[318,40])).
% cnf(4313,negated_conjecture,(sdtpldt0(X1,sdtpldt0(xn,sdtmndt0(xm,xn)))=sdtpldt0(xm,X1)|~aNaturalNumber0(X1)|~aNaturalNumber0(sdtmndt0(xm,xn))|~aNaturalNumber0(xn)),inference(spm,[status(thm)],[685,4299,theory(equality)])).
% cnf(4327,plain,(sdtpldt0(X1,X2)=sz00|sdtpldt0(X2,sdtpldt0(X3,X1))!=X3|~aNaturalNumber0(X3)|~aNaturalNumber0(sdtpldt0(X1,X2))|~aNaturalNumber0(X2)|~aNaturalNumber0(X1)),inference(spm,[status(thm)],[222,4299,theory(equality)])).
% cnf(4418,negated_conjecture,(sdtpldt0(sdtmndt0(xm,xn),sdtpldt0(X1,xn))=sdtpldt0(X1,xm)|~aNaturalNumber0(sdtmndt0(xm,xn))|~aNaturalNumber0(xn)|~aNaturalNumber0(X1)),inference(spm,[status(thm)],[4299,661,theory(equality)])).
% cnf(4474,negated_conjecture,(sdtpldt0(X1,xm)=sdtpldt0(xm,X1)|~aNaturalNumber0(X1)|~aNaturalNumber0(sdtmndt0(xm,xn))|~aNaturalNumber0(xn)),inference(rw,[status(thm)],[4313,661,theory(equality)])).
% cnf(4475,negated_conjecture,(sdtpldt0(X1,xm)=sdtpldt0(xm,X1)|~aNaturalNumber0(X1)|$false|~aNaturalNumber0(xn)),inference(rw,[status(thm)],[4474,662,theory(equality)])).
% cnf(4476,negated_conjecture,(sdtpldt0(X1,xm)=sdtpldt0(xm,X1)|~aNaturalNumber0(X1)|$false|$false),inference(rw,[status(thm)],[4475,28,theory(equality)])).
% cnf(4477,negated_conjecture,(sdtpldt0(X1,xm)=sdtpldt0(xm,X1)|~aNaturalNumber0(X1)),inference(cn,[status(thm)],[4476,theory(equality)])).
% cnf(4598,negated_conjecture,(sdtpldt0(sdtmndt0(xm,xn),sdtpldt0(X1,xn))=sdtpldt0(X1,xm)|$false|~aNaturalNumber0(xn)|~aNaturalNumber0(X1)),inference(rw,[status(thm)],[4418,662,theory(equality)])).
% cnf(4599,negated_conjecture,(sdtpldt0(sdtmndt0(xm,xn),sdtpldt0(X1,xn))=sdtpldt0(X1,xm)|$false|$false|~aNaturalNumber0(X1)),inference(rw,[status(thm)],[4598,28,theory(equality)])).
% cnf(4600,negated_conjecture,(sdtpldt0(sdtmndt0(xm,xn),sdtpldt0(X1,xn))=sdtpldt0(X1,xm)|~aNaturalNumber0(X1)),inference(cn,[status(thm)],[4599,theory(equality)])).
% cnf(16977,negated_conjecture,(sdtpldt0(xn,sdtpldt0(xm,sdtmndt0(xm,xn)))=sdtpldt0(xm,xm)|~aNaturalNumber0(xm)|~aNaturalNumber0(sdtmndt0(xm,xn))),inference(spm,[status(thm)],[685,4477,theory(equality)])).
% cnf(17327,negated_conjecture,(sdtpldt0(xn,sdtpldt0(xm,sdtmndt0(xm,xn)))=sdtpldt0(xm,xm)|$false|~aNaturalNumber0(sdtmndt0(xm,xn))),inference(rw,[status(thm)],[16977,29,theory(equality)])).
% cnf(17328,negated_conjecture,(sdtpldt0(xn,sdtpldt0(xm,sdtmndt0(xm,xn)))=sdtpldt0(xm,xm)|$false|$false),inference(rw,[status(thm)],[17327,662,theory(equality)])).
% cnf(17329,negated_conjecture,(sdtpldt0(xn,sdtpldt0(xm,sdtmndt0(xm,xn)))=sdtpldt0(xm,xm)),inference(cn,[status(thm)],[17328,theory(equality)])).
% cnf(33327,plain,(sdtlseqdt0(X1,sdtpldt0(X2,sdtpldt0(X3,X1)))|~aNaturalNumber0(X1)|~aNaturalNumber0(X3)|~aNaturalNumber0(X2)),inference(csr,[status(thm)],[1003,40])).
% cnf(33374,negated_conjecture,(sdtlseqdt0(sdtmndt0(xn,xm),sdtpldt0(X1,xn))|~aNaturalNumber0(sdtmndt0(xn,xm))|~aNaturalNumber0(xm)|~aNaturalNumber0(X1)),inference(spm,[status(thm)],[33327,759,theory(equality)])).
% cnf(33472,negated_conjecture,(sdtlseqdt0(sdtmndt0(xn,xm),sdtpldt0(X1,xn))|$false|~aNaturalNumber0(xm)|~aNaturalNumber0(X1)),inference(rw,[status(thm)],[33374,761,theory(equality)])).
% cnf(33473,negated_conjecture,(sdtlseqdt0(sdtmndt0(xn,xm),sdtpldt0(X1,xn))|$false|$false|~aNaturalNumber0(X1)),inference(rw,[status(thm)],[33472,29,theory(equality)])).
% cnf(33474,negated_conjecture,(sdtlseqdt0(sdtmndt0(xn,xm),sdtpldt0(X1,xn))|~aNaturalNumber0(X1)),inference(cn,[status(thm)],[33473,theory(equality)])).
% cnf(35923,negated_conjecture,(sdtpldt0(sdtmndt0(xm,xn),xm)=sdtpldt0(xm,sdtmndt0(xm,xn))|~aNaturalNumber0(sdtmndt0(xm,xn))),inference(spm,[status(thm)],[1176,661,theory(equality)])).
% cnf(36224,negated_conjecture,(sdtpldt0(sdtmndt0(xm,xn),xm)=sdtpldt0(xm,sdtmndt0(xm,xn))|$false),inference(rw,[status(thm)],[35923,662,theory(equality)])).
% cnf(36225,negated_conjecture,(sdtpldt0(sdtmndt0(xm,xn),xm)=sdtpldt0(xm,sdtmndt0(xm,xn))),inference(cn,[status(thm)],[36224,theory(equality)])).
% cnf(36361,negated_conjecture,(sdtpldt0(sdtmndt0(xn,xm),xn)=sdtpldt0(xn,sdtmndt0(xn,xm))|~aNaturalNumber0(sdtmndt0(xn,xm))),inference(spm,[status(thm)],[1316,759,theory(equality)])).
% cnf(36652,negated_conjecture,(sdtpldt0(sdtmndt0(xn,xm),xn)=sdtpldt0(xn,sdtmndt0(xn,xm))|$false),inference(rw,[status(thm)],[36361,761,theory(equality)])).
% cnf(36653,negated_conjecture,(sdtpldt0(sdtmndt0(xn,xm),xn)=sdtpldt0(xn,sdtmndt0(xn,xm))),inference(cn,[status(thm)],[36652,theory(equality)])).
% cnf(37480,negated_conjecture,(aNaturalNumber0(sdtpldt0(xm,sdtmndt0(xm,xn)))|~aNaturalNumber0(xm)|~aNaturalNumber0(sdtmndt0(xm,xn))),inference(spm,[status(thm)],[40,36225,theory(equality)])).
% cnf(37593,negated_conjecture,(aNaturalNumber0(sdtpldt0(xm,sdtmndt0(xm,xn)))|$false|~aNaturalNumber0(sdtmndt0(xm,xn))),inference(rw,[status(thm)],[37480,29,theory(equality)])).
% cnf(37594,negated_conjecture,(aNaturalNumber0(sdtpldt0(xm,sdtmndt0(xm,xn)))|$false|$false),inference(rw,[status(thm)],[37593,662,theory(equality)])).
% cnf(37595,negated_conjecture,(aNaturalNumber0(sdtpldt0(xm,sdtmndt0(xm,xn)))),inference(cn,[status(thm)],[37594,theory(equality)])).
% cnf(46343,negated_conjecture,(sdtmndt0(sdtpldt0(xm,xm),xn)=sdtpldt0(xm,sdtmndt0(xm,xn))|~aNaturalNumber0(sdtpldt0(xm,sdtmndt0(xm,xn)))|~aNaturalNumber0(xn)),inference(spm,[status(thm)],[3679,17329,theory(equality)])).
% cnf(46502,negated_conjecture,(sdtmndt0(sdtpldt0(xm,xm),xn)=sdtpldt0(xm,sdtmndt0(xm,xn))|$false|~aNaturalNumber0(xn)),inference(rw,[status(thm)],[46343,37595,theory(equality)])).
% cnf(46503,negated_conjecture,(sdtmndt0(sdtpldt0(xm,xm),xn)=sdtpldt0(xm,sdtmndt0(xm,xn))|$false|$false),inference(rw,[status(thm)],[46502,28,theory(equality)])).
% cnf(46504,negated_conjecture,(sdtmndt0(sdtpldt0(xm,xm),xn)=sdtpldt0(xm,sdtmndt0(xm,xn))),inference(cn,[status(thm)],[46503,theory(equality)])).
% cnf(109344,plain,(sdtpldt0(X1,X2)=sz00|sdtpldt0(X2,sdtpldt0(X3,X1))!=X3|~aNaturalNumber0(X2)|~aNaturalNumber0(X1)|~aNaturalNumber0(X3)),inference(csr,[status(thm)],[4327,40])).
% cnf(151899,negated_conjecture,(sdtpldt0(sdtmndt0(xm,xn),sdtpldt0(xn,sdtmndt0(xn,xm)))=sdtpldt0(sdtmndt0(xn,xm),xm)|~aNaturalNumber0(sdtmndt0(xn,xm))),inference(spm,[status(thm)],[4600,36653,theory(equality)])).
% cnf(152574,negated_conjecture,(sdtpldt0(sdtmndt0(xm,xn),sdtpldt0(xn,sdtmndt0(xn,xm)))=xn|~aNaturalNumber0(sdtmndt0(xn,xm))),inference(rw,[status(thm)],[151899,1270,theory(equality)])).
% cnf(152575,negated_conjecture,(sdtpldt0(sdtmndt0(xm,xn),sdtpldt0(xn,sdtmndt0(xn,xm)))=xn|$false),inference(rw,[status(thm)],[152574,761,theory(equality)])).
% cnf(152576,negated_conjecture,(sdtpldt0(sdtmndt0(xm,xn),sdtpldt0(xn,sdtmndt0(xn,xm)))=xn),inference(cn,[status(thm)],[152575,theory(equality)])).
% cnf(702468,negated_conjecture,(sdtlseqdt0(sdtmndt0(xn,xm),xm)|~aNaturalNumber0(sdtmndt0(xm,xn))),inference(spm,[status(thm)],[33474,1130,theory(equality)])).
% cnf(702527,negated_conjecture,(sdtlseqdt0(sdtmndt0(xn,xm),xm)|$false),inference(rw,[status(thm)],[702468,662,theory(equality)])).
% cnf(702528,negated_conjecture,(sdtlseqdt0(sdtmndt0(xn,xm),xm)),inference(cn,[status(thm)],[702527,theory(equality)])).
% cnf(702617,negated_conjecture,(aNaturalNumber0(sdtmndt0(xm,sdtmndt0(xn,xm)))|~aNaturalNumber0(sdtmndt0(xn,xm))|~aNaturalNumber0(xm)),inference(spm,[status(thm)],[198,702528,theory(equality)])).
% cnf(702620,negated_conjecture,(sdtpldt0(sdtmndt0(xn,xm),sdtmndt0(xm,sdtmndt0(xn,xm)))=xm|~aNaturalNumber0(sdtmndt0(xn,xm))|~aNaturalNumber0(xm)),inference(spm,[status(thm)],[253,702528,theory(equality)])).
% cnf(702621,negated_conjecture,(aNaturalNumber0(sdtmndt0(xm,sdtmndt0(xn,xm)))|$false|~aNaturalNumber0(xm)),inference(rw,[status(thm)],[702617,761,theory(equality)])).
% cnf(702622,negated_conjecture,(aNaturalNumber0(sdtmndt0(xm,sdtmndt0(xn,xm)))|$false|$false),inference(rw,[status(thm)],[702621,29,theory(equality)])).
% cnf(702623,negated_conjecture,(aNaturalNumber0(sdtmndt0(xm,sdtmndt0(xn,xm)))),inference(cn,[status(thm)],[702622,theory(equality)])).
% cnf(702630,negated_conjecture,(sdtpldt0(sdtmndt0(xn,xm),sdtmndt0(xm,sdtmndt0(xn,xm)))=xm|$false|~aNaturalNumber0(xm)),inference(rw,[status(thm)],[702620,761,theory(equality)])).
% cnf(702631,negated_conjecture,(sdtpldt0(sdtmndt0(xn,xm),sdtmndt0(xm,sdtmndt0(xn,xm)))=xm|$false|$false),inference(rw,[status(thm)],[702630,29,theory(equality)])).
% cnf(702632,negated_conjecture,(sdtpldt0(sdtmndt0(xn,xm),sdtmndt0(xm,sdtmndt0(xn,xm)))=xm),inference(cn,[status(thm)],[702631,theory(equality)])).
% cnf(705296,negated_conjecture,(sdtlseqdt0(sdtmndt0(xm,sdtmndt0(xn,xm)),xm)|~aNaturalNumber0(sdtmndt0(xn,xm))|~aNaturalNumber0(sdtmndt0(xm,sdtmndt0(xn,xm)))),inference(spm,[status(thm)],[983,702632,theory(equality)])).
% cnf(705343,negated_conjecture,(sdtmndt0(xm,sdtmndt0(xm,sdtmndt0(xn,xm)))=sdtmndt0(xn,xm)|~aNaturalNumber0(sdtmndt0(xn,xm))|~aNaturalNumber0(sdtmndt0(xm,sdtmndt0(xn,xm)))),inference(spm,[status(thm)],[3700,702632,theory(equality)])).
% cnf(705824,negated_conjecture,(sdtpldt0(xm,xm)=sdtpldt0(xn,sdtmndt0(xm,sdtmndt0(xn,xm)))|~aNaturalNumber0(sdtmndt0(xm,sdtmndt0(xn,xm)))),inference(spm,[status(thm)],[784,702632,theory(equality)])).
% cnf(705835,negated_conjecture,(sdtlseqdt0(sdtmndt0(xm,sdtmndt0(xn,xm)),xm)|$false|~aNaturalNumber0(sdtmndt0(xm,sdtmndt0(xn,xm)))),inference(rw,[status(thm)],[705296,761,theory(equality)])).
% cnf(705836,negated_conjecture,(sdtlseqdt0(sdtmndt0(xm,sdtmndt0(xn,xm)),xm)|$false|$false),inference(rw,[status(thm)],[705835,702623,theory(equality)])).
% cnf(705837,negated_conjecture,(sdtlseqdt0(sdtmndt0(xm,sdtmndt0(xn,xm)),xm)),inference(cn,[status(thm)],[705836,theory(equality)])).
% cnf(706001,negated_conjecture,(sdtmndt0(xm,sdtmndt0(xm,sdtmndt0(xn,xm)))=sdtmndt0(xn,xm)|$false|~aNaturalNumber0(sdtmndt0(xm,sdtmndt0(xn,xm)))),inference(rw,[status(thm)],[705343,761,theory(equality)])).
% cnf(706002,negated_conjecture,(sdtmndt0(xm,sdtmndt0(xm,sdtmndt0(xn,xm)))=sdtmndt0(xn,xm)|$false|$false),inference(rw,[status(thm)],[706001,702623,theory(equality)])).
% cnf(706003,negated_conjecture,(sdtmndt0(xm,sdtmndt0(xm,sdtmndt0(xn,xm)))=sdtmndt0(xn,xm)),inference(cn,[status(thm)],[706002,theory(equality)])).
% cnf(707475,negated_conjecture,(sdtpldt0(xm,xm)=sdtpldt0(xn,sdtmndt0(xm,sdtmndt0(xn,xm)))|$false),inference(rw,[status(thm)],[705824,702623,theory(equality)])).
% cnf(707476,negated_conjecture,(sdtpldt0(xm,xm)=sdtpldt0(xn,sdtmndt0(xm,sdtmndt0(xn,xm)))),inference(cn,[status(thm)],[707475,theory(equality)])).
% cnf(708506,negated_conjecture,(sdtmndt0(sdtpldt0(xm,xm),xn)=sdtmndt0(xm,sdtmndt0(xn,xm))|~aNaturalNumber0(sdtmndt0(xm,sdtmndt0(xn,xm)))|~aNaturalNumber0(xn)),inference(spm,[status(thm)],[3679,707476,theory(equality)])).
% cnf(709150,negated_conjecture,(sdtpldt0(xm,sdtmndt0(xm,xn))=sdtmndt0(xm,sdtmndt0(xn,xm))|~aNaturalNumber0(sdtmndt0(xm,sdtmndt0(xn,xm)))|~aNaturalNumber0(xn)),inference(rw,[status(thm)],[708506,46504,theory(equality)])).
% cnf(709151,negated_conjecture,(sdtpldt0(xm,sdtmndt0(xm,xn))=sdtmndt0(xm,sdtmndt0(xn,xm))|$false|~aNaturalNumber0(xn)),inference(rw,[status(thm)],[709150,702623,theory(equality)])).
% cnf(709152,negated_conjecture,(sdtpldt0(xm,sdtmndt0(xm,xn))=sdtmndt0(xm,sdtmndt0(xn,xm))|$false|$false),inference(rw,[status(thm)],[709151,28,theory(equality)])).
% cnf(709153,negated_conjecture,(sdtpldt0(xm,sdtmndt0(xm,xn))=sdtmndt0(xm,sdtmndt0(xn,xm))),inference(cn,[status(thm)],[709152,theory(equality)])).
% cnf(711436,negated_conjecture,(sdtmndt0(xm,sdtpldt0(xm,sdtmndt0(xm,xn)))=sdtmndt0(xn,xm)),inference(rw,[status(thm)],[706003,709153,theory(equality)])).
% cnf(711440,negated_conjecture,(sdtlseqdt0(sdtpldt0(xm,sdtmndt0(xm,xn)),xm)),inference(rw,[status(thm)],[705837,709153,theory(equality)])).
% cnf(711811,negated_conjecture,(sdtpldt0(sdtpldt0(xm,sdtmndt0(xm,xn)),sdtmndt0(xm,sdtpldt0(xm,sdtmndt0(xm,xn))))=xm|~aNaturalNumber0(sdtpldt0(xm,sdtmndt0(xm,xn)))|~aNaturalNumber0(xm)),inference(spm,[status(thm)],[253,711440,theory(equality)])).
% cnf(711821,negated_conjecture,(sdtpldt0(sdtpldt0(xm,sdtmndt0(xm,xn)),sdtmndt0(xm,sdtpldt0(xm,sdtmndt0(xm,xn))))=xm|$false|~aNaturalNumber0(xm)),inference(rw,[status(thm)],[711811,37595,theory(equality)])).
% cnf(711822,negated_conjecture,(sdtpldt0(sdtpldt0(xm,sdtmndt0(xm,xn)),sdtmndt0(xm,sdtpldt0(xm,sdtmndt0(xm,xn))))=xm|$false|$false),inference(rw,[status(thm)],[711821,29,theory(equality)])).
% cnf(711823,negated_conjecture,(sdtpldt0(sdtpldt0(xm,sdtmndt0(xm,xn)),sdtmndt0(xm,sdtpldt0(xm,sdtmndt0(xm,xn))))=xm),inference(cn,[status(thm)],[711822,theory(equality)])).
% cnf(831735,negated_conjecture,(sdtpldt0(sdtpldt0(xm,sdtmndt0(xm,xn)),sdtmndt0(xn,xm))=xm),inference(rw,[status(thm)],[711823,711436,theory(equality)])).
% cnf(861708,negated_conjecture,(sdtpldt0(sdtmndt0(xn,xm),sdtmndt0(xm,xn))=sz00|~aNaturalNumber0(xn)|~aNaturalNumber0(sdtmndt0(xm,xn))|~aNaturalNumber0(sdtmndt0(xn,xm))),inference(spm,[status(thm)],[109344,152576,theory(equality)])).
% cnf(863722,negated_conjecture,(sdtpldt0(sdtmndt0(xn,xm),sdtmndt0(xm,xn))=sz00|$false|~aNaturalNumber0(sdtmndt0(xm,xn))|~aNaturalNumber0(sdtmndt0(xn,xm))),inference(rw,[status(thm)],[861708,28,theory(equality)])).
% cnf(863723,negated_conjecture,(sdtpldt0(sdtmndt0(xn,xm),sdtmndt0(xm,xn))=sz00|$false|$false|~aNaturalNumber0(sdtmndt0(xn,xm))),inference(rw,[status(thm)],[863722,662,theory(equality)])).
% cnf(863724,negated_conjecture,(sdtpldt0(sdtmndt0(xn,xm),sdtmndt0(xm,xn))=sz00|$false|$false|$false),inference(rw,[status(thm)],[863723,761,theory(equality)])).
% cnf(863725,negated_conjecture,(sdtpldt0(sdtmndt0(xn,xm),sdtmndt0(xm,xn))=sz00),inference(cn,[status(thm)],[863724,theory(equality)])).
% cnf(868227,negated_conjecture,(sz00=sdtmndt0(xm,xn)|~aNaturalNumber0(sdtmndt0(xn,xm))|~aNaturalNumber0(sdtmndt0(xm,xn))),inference(spm,[status(thm)],[82,863725,theory(equality)])).
% cnf(868784,negated_conjecture,(sz00=sdtmndt0(xm,xn)|$false|~aNaturalNumber0(sdtmndt0(xm,xn))),inference(rw,[status(thm)],[868227,761,theory(equality)])).
% cnf(868785,negated_conjecture,(sz00=sdtmndt0(xm,xn)|$false|$false),inference(rw,[status(thm)],[868784,662,theory(equality)])).
% cnf(868786,negated_conjecture,(sz00=sdtmndt0(xm,xn)),inference(cn,[status(thm)],[868785,theory(equality)])).
% cnf(870577,negated_conjecture,(xn=xm),inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[831735,868786,theory(equality)]),1759,theory(equality)]),759,theory(equality)])).
% cnf(870578,negated_conjecture,($false),inference(sr,[status(thm)],[870577,108,theory(equality)])).
% cnf(870579,negated_conjecture,($false),870578,['proof']).
% # SZS output end CNFRefutation
% # Processed clauses : 15084
% # ...of these trivial : 385
% # ...subsumed : 12215
% # ...remaining for further processing: 2484
% # Other redundant clauses eliminated : 142
% # Clauses deleted for lack of memory : 0
% # Backward-subsumed : 27
% # Backward-rewritten : 704
% # Generated clauses : 377100
% # ...of the previous two non-trivial : 367631
% # Contextual simplify-reflections : 1829
% # Paramodulations : 376636
% # Factorizations : 0
% # Equation resolutions : 464
% # Current number of processed clauses: 1753
% # Positive orientable unit clauses: 275
% # Positive unorientable unit clauses: 0
% # Negative unit clauses : 8
% # Non-unit-clauses : 1470
% # Current number of unprocessed clauses: 309947
% # ...number of literals in the above : 2161885
% # Clause-clause subsumption calls (NU) : 237072
% # Rec. Clause-clause subsumption calls : 143351
% # Unit Clause-clause subsumption calls : 90
% # Rewrite failures with RHS unbound : 0
% # Indexed BW rewrite attempts : 906
% # Indexed BW rewrite successes : 112
% # Backwards rewriting index: 603 leaves, 2.19+/-3.465 terms/leaf
% # Paramod-from index: 412 leaves, 1.55+/-1.569 terms/leaf
% # Paramod-into index: 544 leaves, 2.16+/-3.473 terms/leaf
% # -------------------------------------------------
% # User time : 16.357 s
% # System time : 0.609 s
% # Total time : 16.965 s
% # Maximum resident set size: 0 pages
% PrfWatch: 30.41 CPU 31.49 WC
% FINAL PrfWatch: 30.41 CPU 31.49 WC
% SZS output end Solution for /tmp/SystemOnTPTP19178/NUM459+1.tptp
%
%------------------------------------------------------------------------------