TSTP Solution File: NUM462+1 by SRASS---0.1
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- Process Solution
%------------------------------------------------------------------------------
% File : SRASS---0.1
% Problem : NUM462+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 19:20:23 EST 2010
% Result : Theorem 5.24s
% Output : Solution 5.24s
% Verified :
% SZS Type : None (Parsing solution fails)
% Syntax : Number of formulae : 0
% Comments :
%------------------------------------------------------------------------------
%----ERROR: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% Reading problem from /tmp/SystemOnTPTP19991/NUM462+1.tptp
% Adding relevance values
% Extracting the conjecture
% Sorting axioms by relevance
% Looking for THM ...
% found
% SZS status THM for /tmp/SystemOnTPTP19991/NUM462+1.tptp
% SZS output start Solution for /tmp/SystemOnTPTP19991/NUM462+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 20087
% TreeLimitedRun: ----------------------------------------------------------
% PrfWatch: 0.00 CPU 0.02 WC
% PrfWatch: 1.94 CPU 2.02 WC
% # Preprocessing time : 0.016 s
% # Problem is unsatisfiable (or provable), constructing proof object
% # SZS status Theorem
% PrfWatch: 3.91 CPU 4.03 WC
% # SZS output start CNFRefutation.
% fof(1, axiom,aNaturalNumber0(sz00),file('/tmp/SRASS.s.p', mSortsC)).
% fof(2, axiom,![X1]:![X2]:((aNaturalNumber0(X1)&aNaturalNumber0(X2))=>aNaturalNumber0(sdtasdt0(X1,X2))),file('/tmp/SRASS.s.p', mSortsB_02)).
% fof(3, axiom,![X1]:![X2]:((aNaturalNumber0(X1)&aNaturalNumber0(X2))=>sdtasdt0(X1,X2)=sdtasdt0(X2,X1)),file('/tmp/SRASS.s.p', mMulComm)).
% fof(6, axiom,![X1]:(aNaturalNumber0(X1)=>(~(X1=sz00)=>![X2]:![X3]:((aNaturalNumber0(X2)&aNaturalNumber0(X3))=>((sdtasdt0(X1,X2)=sdtasdt0(X1,X3)|sdtasdt0(X2,X1)=sdtasdt0(X3,X1))=>X2=X3)))),file('/tmp/SRASS.s.p', mMulCanc)).
% fof(10, axiom,![X1]:![X2]:![X3]:(((aNaturalNumber0(X1)&aNaturalNumber0(X2))&aNaturalNumber0(X3))=>((sdtlseqdt0(X1,X2)&sdtlseqdt0(X2,X3))=>sdtlseqdt0(X1,X3))),file('/tmp/SRASS.s.p', mLETran)).
% fof(12, axiom,((aNaturalNumber0(xm)&aNaturalNumber0(xl))&aNaturalNumber0(xn)),file('/tmp/SRASS.s.p', m__897)).
% fof(13, axiom,((~(xm=sz00)&~(xl=xn))&sdtlseqdt0(xl,xn)),file('/tmp/SRASS.s.p', m__897_03)).
% fof(14, axiom,![X1]:(aNaturalNumber0(X1)=>(sdtpldt0(X1,sz00)=X1&X1=sdtpldt0(sz00,X1))),file('/tmp/SRASS.s.p', m_AddZero)).
% fof(16, axiom,![X1]:![X2]:((aNaturalNumber0(X1)&aNaturalNumber0(X2))=>(sdtlseqdt0(X1,X2)<=>?[X3]:(aNaturalNumber0(X3)&sdtpldt0(X1,X3)=X2))),file('/tmp/SRASS.s.p', mDefLE)).
% fof(18, 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(20, axiom,![X1]:![X2]:((aNaturalNumber0(X1)&aNaturalNumber0(X2))=>aNaturalNumber0(sdtpldt0(X1,X2))),file('/tmp/SRASS.s.p', mSortsB)).
% fof(25, 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(27, conjecture,(((~(sdtasdt0(xm,xl)=sdtasdt0(xm,xn))&sdtlseqdt0(sdtasdt0(xm,xl),sdtasdt0(xm,xn)))&~(sdtasdt0(xl,xm)=sdtasdt0(xn,xm)))&sdtlseqdt0(sdtasdt0(xl,xm),sdtasdt0(xn,xm))),file('/tmp/SRASS.s.p', m__)).
% fof(28, negated_conjecture,~((((~(sdtasdt0(xm,xl)=sdtasdt0(xm,xn))&sdtlseqdt0(sdtasdt0(xm,xl),sdtasdt0(xm,xn)))&~(sdtasdt0(xl,xm)=sdtasdt0(xn,xm)))&sdtlseqdt0(sdtasdt0(xl,xm),sdtasdt0(xn,xm)))),inference(assume_negation,[status(cth)],[27])).
% cnf(30,plain,(aNaturalNumber0(sz00)),inference(split_conjunct,[status(thm)],[1])).
% fof(31, plain,![X1]:![X2]:((~(aNaturalNumber0(X1))|~(aNaturalNumber0(X2)))|aNaturalNumber0(sdtasdt0(X1,X2))),inference(fof_nnf,[status(thm)],[2])).
% fof(32, plain,![X3]:![X4]:((~(aNaturalNumber0(X3))|~(aNaturalNumber0(X4)))|aNaturalNumber0(sdtasdt0(X3,X4))),inference(variable_rename,[status(thm)],[31])).
% cnf(33,plain,(aNaturalNumber0(sdtasdt0(X1,X2))|~aNaturalNumber0(X2)|~aNaturalNumber0(X1)),inference(split_conjunct,[status(thm)],[32])).
% fof(34, plain,![X1]:![X2]:((~(aNaturalNumber0(X1))|~(aNaturalNumber0(X2)))|sdtasdt0(X1,X2)=sdtasdt0(X2,X1)),inference(fof_nnf,[status(thm)],[3])).
% fof(35, plain,![X3]:![X4]:((~(aNaturalNumber0(X3))|~(aNaturalNumber0(X4)))|sdtasdt0(X3,X4)=sdtasdt0(X4,X3)),inference(variable_rename,[status(thm)],[34])).
% cnf(36,plain,(sdtasdt0(X1,X2)=sdtasdt0(X2,X1)|~aNaturalNumber0(X2)|~aNaturalNumber0(X1)),inference(split_conjunct,[status(thm)],[35])).
% fof(45, plain,![X1]:(~(aNaturalNumber0(X1))|(X1=sz00|![X2]:![X3]:((~(aNaturalNumber0(X2))|~(aNaturalNumber0(X3)))|((~(sdtasdt0(X1,X2)=sdtasdt0(X1,X3))&~(sdtasdt0(X2,X1)=sdtasdt0(X3,X1)))|X2=X3)))),inference(fof_nnf,[status(thm)],[6])).
% fof(46, plain,![X4]:(~(aNaturalNumber0(X4))|(X4=sz00|![X5]:![X6]:((~(aNaturalNumber0(X5))|~(aNaturalNumber0(X6)))|((~(sdtasdt0(X4,X5)=sdtasdt0(X4,X6))&~(sdtasdt0(X5,X4)=sdtasdt0(X6,X4)))|X5=X6)))),inference(variable_rename,[status(thm)],[45])).
% fof(47, plain,![X4]:![X5]:![X6]:((((~(aNaturalNumber0(X5))|~(aNaturalNumber0(X6)))|((~(sdtasdt0(X4,X5)=sdtasdt0(X4,X6))&~(sdtasdt0(X5,X4)=sdtasdt0(X6,X4)))|X5=X6))|X4=sz00)|~(aNaturalNumber0(X4))),inference(shift_quantors,[status(thm)],[46])).
% fof(48, plain,![X4]:![X5]:![X6]:(((((~(sdtasdt0(X4,X5)=sdtasdt0(X4,X6))|X5=X6)|(~(aNaturalNumber0(X5))|~(aNaturalNumber0(X6))))|X4=sz00)|~(aNaturalNumber0(X4)))&((((~(sdtasdt0(X5,X4)=sdtasdt0(X6,X4))|X5=X6)|(~(aNaturalNumber0(X5))|~(aNaturalNumber0(X6))))|X4=sz00)|~(aNaturalNumber0(X4)))),inference(distribute,[status(thm)],[47])).
% cnf(50,plain,(X1=sz00|X3=X2|~aNaturalNumber0(X1)|~aNaturalNumber0(X2)|~aNaturalNumber0(X3)|sdtasdt0(X1,X3)!=sdtasdt0(X1,X2)),inference(split_conjunct,[status(thm)],[48])).
% fof(60, plain,![X1]:![X2]:![X3]:(((~(aNaturalNumber0(X1))|~(aNaturalNumber0(X2)))|~(aNaturalNumber0(X3)))|((~(sdtlseqdt0(X1,X2))|~(sdtlseqdt0(X2,X3)))|sdtlseqdt0(X1,X3))),inference(fof_nnf,[status(thm)],[10])).
% fof(61, plain,![X4]:![X5]:![X6]:(((~(aNaturalNumber0(X4))|~(aNaturalNumber0(X5)))|~(aNaturalNumber0(X6)))|((~(sdtlseqdt0(X4,X5))|~(sdtlseqdt0(X5,X6)))|sdtlseqdt0(X4,X6))),inference(variable_rename,[status(thm)],[60])).
% cnf(62,plain,(sdtlseqdt0(X1,X2)|~sdtlseqdt0(X3,X2)|~sdtlseqdt0(X1,X3)|~aNaturalNumber0(X2)|~aNaturalNumber0(X3)|~aNaturalNumber0(X1)),inference(split_conjunct,[status(thm)],[61])).
% cnf(68,plain,(aNaturalNumber0(xn)),inference(split_conjunct,[status(thm)],[12])).
% cnf(69,plain,(aNaturalNumber0(xl)),inference(split_conjunct,[status(thm)],[12])).
% cnf(70,plain,(aNaturalNumber0(xm)),inference(split_conjunct,[status(thm)],[12])).
% cnf(71,plain,(sdtlseqdt0(xl,xn)),inference(split_conjunct,[status(thm)],[13])).
% cnf(72,plain,(xl!=xn),inference(split_conjunct,[status(thm)],[13])).
% cnf(73,plain,(xm!=sz00),inference(split_conjunct,[status(thm)],[13])).
% 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(77,plain,(X1=sdtpldt0(sz00,X1)|~aNaturalNumber0(X1)),inference(split_conjunct,[status(thm)],[76])).
% fof(84, 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)],[16])).
% fof(85, 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)],[84])).
% fof(86, 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)],[85])).
% fof(87, 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)],[86])).
% fof(88, 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)],[87])).
% cnf(89,plain,(sdtpldt0(X2,esk1_2(X2,X1))=X1|~aNaturalNumber0(X1)|~aNaturalNumber0(X2)|~sdtlseqdt0(X2,X1)),inference(split_conjunct,[status(thm)],[88])).
% cnf(90,plain,(aNaturalNumber0(esk1_2(X2,X1))|~aNaturalNumber0(X1)|~aNaturalNumber0(X2)|~sdtlseqdt0(X2,X1)),inference(split_conjunct,[status(thm)],[88])).
% cnf(91,plain,(sdtlseqdt0(X2,X1)|~aNaturalNumber0(X1)|~aNaturalNumber0(X2)|sdtpldt0(X2,X3)!=X1|~aNaturalNumber0(X3)),inference(split_conjunct,[status(thm)],[88])).
% fof(100, 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)],[18])).
% fof(101, 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)],[100])).
% fof(102, 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)],[101])).
% cnf(104,plain,(sdtasdt0(X3,sdtpldt0(X2,X1))=sdtpldt0(sdtasdt0(X3,X2),sdtasdt0(X3,X1))|~aNaturalNumber0(X1)|~aNaturalNumber0(X2)|~aNaturalNumber0(X3)),inference(split_conjunct,[status(thm)],[102])).
% fof(107, plain,![X1]:![X2]:((~(aNaturalNumber0(X1))|~(aNaturalNumber0(X2)))|aNaturalNumber0(sdtpldt0(X1,X2))),inference(fof_nnf,[status(thm)],[20])).
% fof(108, plain,![X3]:![X4]:((~(aNaturalNumber0(X3))|~(aNaturalNumber0(X4)))|aNaturalNumber0(sdtpldt0(X3,X4))),inference(variable_rename,[status(thm)],[107])).
% cnf(109,plain,(aNaturalNumber0(sdtpldt0(X1,X2))|~aNaturalNumber0(X2)|~aNaturalNumber0(X1)),inference(split_conjunct,[status(thm)],[108])).
% fof(126, 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)],[25])).
% fof(127, 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)],[126])).
% fof(128, 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)],[127])).
% fof(129, 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)],[128])).
% cnf(130,plain,(X3=sdtmndt0(X1,X2)|~aNaturalNumber0(X1)|~aNaturalNumber0(X2)|~sdtlseqdt0(X2,X1)|sdtpldt0(X2,X3)!=X1|~aNaturalNumber0(X3)),inference(split_conjunct,[status(thm)],[129])).
% cnf(132,plain,(aNaturalNumber0(X3)|~aNaturalNumber0(X1)|~aNaturalNumber0(X2)|~sdtlseqdt0(X2,X1)|X3!=sdtmndt0(X1,X2)),inference(split_conjunct,[status(thm)],[129])).
% fof(135, negated_conjecture,(((sdtasdt0(xm,xl)=sdtasdt0(xm,xn)|~(sdtlseqdt0(sdtasdt0(xm,xl),sdtasdt0(xm,xn))))|sdtasdt0(xl,xm)=sdtasdt0(xn,xm))|~(sdtlseqdt0(sdtasdt0(xl,xm),sdtasdt0(xn,xm)))),inference(fof_nnf,[status(thm)],[28])).
% cnf(136,negated_conjecture,(sdtasdt0(xl,xm)=sdtasdt0(xn,xm)|sdtasdt0(xm,xl)=sdtasdt0(xm,xn)|~sdtlseqdt0(sdtasdt0(xl,xm),sdtasdt0(xn,xm))|~sdtlseqdt0(sdtasdt0(xm,xl),sdtasdt0(xm,xn))),inference(split_conjunct,[status(thm)],[135])).
% cnf(199,plain,(aNaturalNumber0(esk1_2(xl,xn))|~aNaturalNumber0(xl)|~aNaturalNumber0(xn)),inference(spm,[status(thm)],[90,71,theory(equality)])).
% cnf(203,plain,(aNaturalNumber0(esk1_2(xl,xn))|$false|~aNaturalNumber0(xn)),inference(rw,[status(thm)],[199,69,theory(equality)])).
% cnf(204,plain,(aNaturalNumber0(esk1_2(xl,xn))|$false|$false),inference(rw,[status(thm)],[203,68,theory(equality)])).
% cnf(205,plain,(aNaturalNumber0(esk1_2(xl,xn))),inference(cn,[status(thm)],[204,theory(equality)])).
% cnf(233,plain,(sdtlseqdt0(X1,sdtpldt0(X1,X2))|~aNaturalNumber0(X2)|~aNaturalNumber0(X1)|~aNaturalNumber0(sdtpldt0(X1,X2))),inference(er,[status(thm)],[91,theory(equality)])).
% cnf(234,plain,(sdtlseqdt0(sz00,X1)|X2!=X1|~aNaturalNumber0(X2)|~aNaturalNumber0(sz00)|~aNaturalNumber0(X1)),inference(spm,[status(thm)],[91,77,theory(equality)])).
% cnf(238,plain,(sdtlseqdt0(sz00,X1)|X2!=X1|~aNaturalNumber0(X2)|$false|~aNaturalNumber0(X1)),inference(rw,[status(thm)],[234,30,theory(equality)])).
% cnf(239,plain,(sdtlseqdt0(sz00,X1)|X2!=X1|~aNaturalNumber0(X2)|~aNaturalNumber0(X1)),inference(cn,[status(thm)],[238,theory(equality)])).
% cnf(240,plain,(sdtlseqdt0(sz00,X1)|~aNaturalNumber0(X1)),inference(er,[status(thm)],[239,theory(equality)])).
% cnf(244,plain,(sdtlseqdt0(X1,xn)|~sdtlseqdt0(X1,xl)|~aNaturalNumber0(xl)|~aNaturalNumber0(xn)|~aNaturalNumber0(X1)),inference(spm,[status(thm)],[62,71,theory(equality)])).
% cnf(248,plain,(sdtlseqdt0(X1,xn)|~sdtlseqdt0(X1,xl)|$false|~aNaturalNumber0(xn)|~aNaturalNumber0(X1)),inference(rw,[status(thm)],[244,69,theory(equality)])).
% cnf(249,plain,(sdtlseqdt0(X1,xn)|~sdtlseqdt0(X1,xl)|$false|$false|~aNaturalNumber0(X1)),inference(rw,[status(thm)],[248,68,theory(equality)])).
% cnf(250,plain,(sdtlseqdt0(X1,xn)|~sdtlseqdt0(X1,xl)|~aNaturalNumber0(X1)),inference(cn,[status(thm)],[249,theory(equality)])).
% cnf(285,plain,(sdtpldt0(xl,esk1_2(xl,xn))=xn|~aNaturalNumber0(xl)|~aNaturalNumber0(xn)),inference(spm,[status(thm)],[89,71,theory(equality)])).
% cnf(289,plain,(sdtpldt0(xl,esk1_2(xl,xn))=xn|$false|~aNaturalNumber0(xn)),inference(rw,[status(thm)],[285,69,theory(equality)])).
% cnf(290,plain,(sdtpldt0(xl,esk1_2(xl,xn))=xn|$false|$false),inference(rw,[status(thm)],[289,68,theory(equality)])).
% cnf(291,plain,(sdtpldt0(xl,esk1_2(xl,xn))=xn),inference(cn,[status(thm)],[290,theory(equality)])).
% cnf(374,plain,(sdtmndt0(X1,X2)=X3|sdtpldt0(X2,X3)!=X1|~aNaturalNumber0(X3)|~aNaturalNumber0(X2)|~aNaturalNumber0(X1)),inference(csr,[status(thm)],[130,91])).
% cnf(523,plain,(sdtmndt0(X1,xl)=esk1_2(xl,xn)|xn!=X1|~aNaturalNumber0(esk1_2(xl,xn))|~aNaturalNumber0(xl)|~aNaturalNumber0(X1)),inference(spm,[status(thm)],[374,291,theory(equality)])).
% cnf(544,plain,(sdtmndt0(X1,xl)=esk1_2(xl,xn)|xn!=X1|$false|~aNaturalNumber0(xl)|~aNaturalNumber0(X1)),inference(rw,[status(thm)],[523,205,theory(equality)])).
% cnf(545,plain,(sdtmndt0(X1,xl)=esk1_2(xl,xn)|xn!=X1|$false|$false|~aNaturalNumber0(X1)),inference(rw,[status(thm)],[544,69,theory(equality)])).
% cnf(546,plain,(sdtmndt0(X1,xl)=esk1_2(xl,xn)|xn!=X1|~aNaturalNumber0(X1)),inference(cn,[status(thm)],[545,theory(equality)])).
% cnf(573,plain,(sdtlseqdt0(sz00,xn)|~aNaturalNumber0(sz00)|~aNaturalNumber0(xl)),inference(spm,[status(thm)],[250,240,theory(equality)])).
% cnf(580,plain,(sdtlseqdt0(sz00,xn)|$false|~aNaturalNumber0(xl)),inference(rw,[status(thm)],[573,30,theory(equality)])).
% cnf(581,plain,(sdtlseqdt0(sz00,xn)|$false|$false),inference(rw,[status(thm)],[580,69,theory(equality)])).
% cnf(582,plain,(sdtlseqdt0(sz00,xn)),inference(cn,[status(thm)],[581,theory(equality)])).
% cnf(598,plain,(aNaturalNumber0(esk1_2(sz00,xn))|~aNaturalNumber0(sz00)|~aNaturalNumber0(xn)),inference(spm,[status(thm)],[90,582,theory(equality)])).
% cnf(599,plain,(sdtpldt0(sz00,esk1_2(sz00,xn))=xn|~aNaturalNumber0(sz00)|~aNaturalNumber0(xn)),inference(spm,[status(thm)],[89,582,theory(equality)])).
% cnf(610,plain,(aNaturalNumber0(esk1_2(sz00,xn))|$false|~aNaturalNumber0(xn)),inference(rw,[status(thm)],[598,30,theory(equality)])).
% cnf(611,plain,(aNaturalNumber0(esk1_2(sz00,xn))|$false|$false),inference(rw,[status(thm)],[610,68,theory(equality)])).
% cnf(612,plain,(aNaturalNumber0(esk1_2(sz00,xn))),inference(cn,[status(thm)],[611,theory(equality)])).
% cnf(613,plain,(sdtpldt0(sz00,esk1_2(sz00,xn))=xn|$false|~aNaturalNumber0(xn)),inference(rw,[status(thm)],[599,30,theory(equality)])).
% cnf(614,plain,(sdtpldt0(sz00,esk1_2(sz00,xn))=xn|$false|$false),inference(rw,[status(thm)],[613,68,theory(equality)])).
% cnf(615,plain,(sdtpldt0(sz00,esk1_2(sz00,xn))=xn),inference(cn,[status(thm)],[614,theory(equality)])).
% cnf(638,plain,(xn=esk1_2(sz00,xn)|~aNaturalNumber0(esk1_2(sz00,xn))),inference(spm,[status(thm)],[77,615,theory(equality)])).
% cnf(667,plain,(xn=esk1_2(sz00,xn)|$false),inference(rw,[status(thm)],[638,612,theory(equality)])).
% cnf(668,plain,(xn=esk1_2(sz00,xn)),inference(cn,[status(thm)],[667,theory(equality)])).
% cnf(669,plain,(sdtpldt0(sz00,xn)=xn),inference(rw,[status(thm)],[615,668,theory(equality)])).
% cnf(675,plain,(sdtmndt0(X1,sz00)=xn|xn!=X1|~aNaturalNumber0(xn)|~aNaturalNumber0(sz00)|~aNaturalNumber0(X1)),inference(spm,[status(thm)],[374,669,theory(equality)])).
% cnf(693,plain,(sdtmndt0(X1,sz00)=xn|xn!=X1|$false|~aNaturalNumber0(sz00)|~aNaturalNumber0(X1)),inference(rw,[status(thm)],[675,68,theory(equality)])).
% cnf(694,plain,(sdtmndt0(X1,sz00)=xn|xn!=X1|$false|$false|~aNaturalNumber0(X1)),inference(rw,[status(thm)],[693,30,theory(equality)])).
% cnf(695,plain,(sdtmndt0(X1,sz00)=xn|xn!=X1|~aNaturalNumber0(X1)),inference(cn,[status(thm)],[694,theory(equality)])).
% cnf(857,plain,(sdtmndt0(xn,sz00)=xn|~aNaturalNumber0(xn)),inference(er,[status(thm)],[695,theory(equality)])).
% cnf(858,plain,(sdtmndt0(xn,sz00)=xn|$false),inference(rw,[status(thm)],[857,68,theory(equality)])).
% cnf(859,plain,(sdtmndt0(xn,sz00)=xn),inference(cn,[status(thm)],[858,theory(equality)])).
% cnf(865,plain,(aNaturalNumber0(X1)|xn!=X1|~sdtlseqdt0(sz00,xn)|~aNaturalNumber0(sz00)|~aNaturalNumber0(xn)),inference(spm,[status(thm)],[132,859,theory(equality)])).
% cnf(867,plain,(aNaturalNumber0(X1)|xn!=X1|$false|~aNaturalNumber0(sz00)|~aNaturalNumber0(xn)),inference(rw,[status(thm)],[865,582,theory(equality)])).
% cnf(868,plain,(aNaturalNumber0(X1)|xn!=X1|$false|$false|~aNaturalNumber0(xn)),inference(rw,[status(thm)],[867,30,theory(equality)])).
% cnf(869,plain,(aNaturalNumber0(X1)|xn!=X1|$false|$false|$false),inference(rw,[status(thm)],[868,68,theory(equality)])).
% cnf(870,plain,(aNaturalNumber0(X1)|xn!=X1),inference(cn,[status(thm)],[869,theory(equality)])).
% cnf(912,plain,(sdtmndt0(X1,xl)=esk1_2(xl,xn)|xn!=X1),inference(csr,[status(thm)],[546,870])).
% cnf(913,plain,(sdtmndt0(xn,xl)=esk1_2(xl,xn)),inference(er,[status(thm)],[912,theory(equality)])).
% cnf(922,plain,(sdtpldt0(xl,sdtmndt0(xn,xl))=xn),inference(rw,[status(thm)],[291,913,theory(equality)])).
% cnf(923,plain,(aNaturalNumber0(sdtmndt0(xn,xl))),inference(rw,[status(thm)],[205,913,theory(equality)])).
% cnf(1627,plain,(sdtlseqdt0(X1,sdtpldt0(X1,X2))|~aNaturalNumber0(X2)|~aNaturalNumber0(X1)),inference(csr,[status(thm)],[233,109])).
% cnf(1638,plain,(sdtlseqdt0(sdtasdt0(X1,X2),sdtasdt0(X1,sdtpldt0(X2,X3)))|~aNaturalNumber0(sdtasdt0(X1,X3))|~aNaturalNumber0(sdtasdt0(X1,X2))|~aNaturalNumber0(X1)|~aNaturalNumber0(X2)|~aNaturalNumber0(X3)),inference(spm,[status(thm)],[1627,104,theory(equality)])).
% cnf(65430,plain,(sdtlseqdt0(sdtasdt0(X1,X2),sdtasdt0(X1,sdtpldt0(X2,X3)))|~aNaturalNumber0(sdtasdt0(X1,X3))|~aNaturalNumber0(X1)|~aNaturalNumber0(X2)|~aNaturalNumber0(X3)),inference(csr,[status(thm)],[1638,33])).
% cnf(65431,plain,(sdtlseqdt0(sdtasdt0(X1,X2),sdtasdt0(X1,sdtpldt0(X2,X3)))|~aNaturalNumber0(X1)|~aNaturalNumber0(X2)|~aNaturalNumber0(X3)),inference(csr,[status(thm)],[65430,33])).
% cnf(65453,plain,(sdtlseqdt0(sdtasdt0(X1,xl),sdtasdt0(X1,xn))|~aNaturalNumber0(X1)|~aNaturalNumber0(xl)|~aNaturalNumber0(sdtmndt0(xn,xl))),inference(spm,[status(thm)],[65431,922,theory(equality)])).
% cnf(65687,plain,(sdtlseqdt0(sdtasdt0(X1,xl),sdtasdt0(X1,xn))|~aNaturalNumber0(X1)|$false|~aNaturalNumber0(sdtmndt0(xn,xl))),inference(rw,[status(thm)],[65453,69,theory(equality)])).
% cnf(65688,plain,(sdtlseqdt0(sdtasdt0(X1,xl),sdtasdt0(X1,xn))|~aNaturalNumber0(X1)|$false|$false),inference(rw,[status(thm)],[65687,923,theory(equality)])).
% cnf(65689,plain,(sdtlseqdt0(sdtasdt0(X1,xl),sdtasdt0(X1,xn))|~aNaturalNumber0(X1)),inference(cn,[status(thm)],[65688,theory(equality)])).
% cnf(105439,negated_conjecture,(sdtasdt0(xn,xm)=sdtasdt0(xl,xm)|sdtasdt0(xm,xn)=sdtasdt0(xm,xl)|~sdtlseqdt0(sdtasdt0(xl,xm),sdtasdt0(xn,xm))|~aNaturalNumber0(xm)),inference(spm,[status(thm)],[136,65689,theory(equality)])).
% cnf(105486,negated_conjecture,(sdtasdt0(xn,xm)=sdtasdt0(xl,xm)|sdtasdt0(xm,xn)=sdtasdt0(xm,xl)|~sdtlseqdt0(sdtasdt0(xl,xm),sdtasdt0(xn,xm))|$false),inference(rw,[status(thm)],[105439,70,theory(equality)])).
% cnf(105487,negated_conjecture,(sdtasdt0(xn,xm)=sdtasdt0(xl,xm)|sdtasdt0(xm,xn)=sdtasdt0(xm,xl)|~sdtlseqdt0(sdtasdt0(xl,xm),sdtasdt0(xn,xm))),inference(cn,[status(thm)],[105486,theory(equality)])).
% cnf(106915,negated_conjecture,(sdtasdt0(xm,xn)=sdtasdt0(xm,xl)|sdtasdt0(xm,xn)=sdtasdt0(xl,xm)|~sdtlseqdt0(sdtasdt0(xl,xm),sdtasdt0(xm,xn))|~aNaturalNumber0(xn)|~aNaturalNumber0(xm)),inference(spm,[status(thm)],[105487,36,theory(equality)])).
% cnf(106925,negated_conjecture,(sdtasdt0(xm,xn)=sdtasdt0(xm,xl)|sdtasdt0(xm,xn)=sdtasdt0(xl,xm)|~sdtlseqdt0(sdtasdt0(xl,xm),sdtasdt0(xm,xn))|$false|~aNaturalNumber0(xm)),inference(rw,[status(thm)],[106915,68,theory(equality)])).
% cnf(106926,negated_conjecture,(sdtasdt0(xm,xn)=sdtasdt0(xm,xl)|sdtasdt0(xm,xn)=sdtasdt0(xl,xm)|~sdtlseqdt0(sdtasdt0(xl,xm),sdtasdt0(xm,xn))|$false|$false),inference(rw,[status(thm)],[106925,70,theory(equality)])).
% cnf(106927,negated_conjecture,(sdtasdt0(xm,xn)=sdtasdt0(xm,xl)|sdtasdt0(xm,xn)=sdtasdt0(xl,xm)|~sdtlseqdt0(sdtasdt0(xl,xm),sdtasdt0(xm,xn))),inference(cn,[status(thm)],[106926,theory(equality)])).
% cnf(106939,negated_conjecture,(sdtasdt0(xm,xl)=sdtasdt0(xm,xn)|~sdtlseqdt0(sdtasdt0(xm,xl),sdtasdt0(xm,xn))|~aNaturalNumber0(xl)|~aNaturalNumber0(xm)),inference(spm,[status(thm)],[106927,36,theory(equality)])).
% cnf(106948,negated_conjecture,(sdtasdt0(xm,xl)=sdtasdt0(xm,xn)|~sdtlseqdt0(sdtasdt0(xm,xl),sdtasdt0(xm,xn))|$false|~aNaturalNumber0(xm)),inference(rw,[status(thm)],[106939,69,theory(equality)])).
% cnf(106949,negated_conjecture,(sdtasdt0(xm,xl)=sdtasdt0(xm,xn)|~sdtlseqdt0(sdtasdt0(xm,xl),sdtasdt0(xm,xn))|$false|$false),inference(rw,[status(thm)],[106948,70,theory(equality)])).
% cnf(106950,negated_conjecture,(sdtasdt0(xm,xl)=sdtasdt0(xm,xn)|~sdtlseqdt0(sdtasdt0(xm,xl),sdtasdt0(xm,xn))),inference(cn,[status(thm)],[106949,theory(equality)])).
% cnf(106959,negated_conjecture,(sdtasdt0(xm,xn)=sdtasdt0(xm,xl)|~aNaturalNumber0(xm)),inference(spm,[status(thm)],[106950,65689,theory(equality)])).
% cnf(106960,negated_conjecture,(sdtasdt0(xm,xn)=sdtasdt0(xm,xl)|$false),inference(rw,[status(thm)],[106959,70,theory(equality)])).
% cnf(106961,negated_conjecture,(sdtasdt0(xm,xn)=sdtasdt0(xm,xl)),inference(cn,[status(thm)],[106960,theory(equality)])).
% cnf(106966,negated_conjecture,(sz00=xm|xn=X1|sdtasdt0(xm,xl)!=sdtasdt0(xm,X1)|~aNaturalNumber0(X1)|~aNaturalNumber0(xn)|~aNaturalNumber0(xm)),inference(spm,[status(thm)],[50,106961,theory(equality)])).
% cnf(107059,negated_conjecture,(sz00=xm|xn=X1|sdtasdt0(xm,xl)!=sdtasdt0(xm,X1)|~aNaturalNumber0(X1)|$false|~aNaturalNumber0(xm)),inference(rw,[status(thm)],[106966,68,theory(equality)])).
% cnf(107060,negated_conjecture,(sz00=xm|xn=X1|sdtasdt0(xm,xl)!=sdtasdt0(xm,X1)|~aNaturalNumber0(X1)|$false|$false),inference(rw,[status(thm)],[107059,70,theory(equality)])).
% cnf(107061,negated_conjecture,(sz00=xm|xn=X1|sdtasdt0(xm,xl)!=sdtasdt0(xm,X1)|~aNaturalNumber0(X1)),inference(cn,[status(thm)],[107060,theory(equality)])).
% cnf(107062,negated_conjecture,(xn=X1|sdtasdt0(xm,xl)!=sdtasdt0(xm,X1)|~aNaturalNumber0(X1)),inference(sr,[status(thm)],[107061,73,theory(equality)])).
% cnf(164248,negated_conjecture,(xn=xl|~aNaturalNumber0(xl)),inference(er,[status(thm)],[107062,theory(equality)])).
% cnf(164272,negated_conjecture,(xn=xl|$false),inference(rw,[status(thm)],[164248,69,theory(equality)])).
% cnf(164273,negated_conjecture,(xn=xl),inference(cn,[status(thm)],[164272,theory(equality)])).
% cnf(164274,negated_conjecture,($false),inference(sr,[status(thm)],[164273,72,theory(equality)])).
% cnf(164275,negated_conjecture,($false),164274,['proof']).
% # SZS output end CNFRefutation
% # Processed clauses : 5554
% # ...of these trivial : 352
% # ...subsumed : 3710
% # ...remaining for further processing: 1492
% # Other redundant clauses eliminated : 78
% # Clauses deleted for lack of memory : 0
% # Backward-subsumed : 83
% # Backward-rewritten : 178
% # Generated clauses : 54447
% # ...of the previous two non-trivial : 46621
% # Contextual simplify-reflections : 730
% # Paramodulations : 54246
% # Factorizations : 24
% # Equation resolutions : 177
% # Current number of processed clauses: 1230
% # Positive orientable unit clauses: 286
% # Positive unorientable unit clauses: 0
% # Negative unit clauses : 6
% # Non-unit-clauses : 938
% # Current number of unprocessed clauses: 38105
% # ...number of literals in the above : 180012
% # Clause-clause subsumption calls (NU) : 82943
% # Rec. Clause-clause subsumption calls : 49580
% # Unit Clause-clause subsumption calls : 932
% # Rewrite failures with RHS unbound : 0
% # Indexed BW rewrite attempts : 829
% # Indexed BW rewrite successes : 68
% # Backwards rewriting index: 665 leaves, 1.70+/-2.145 terms/leaf
% # Paramod-from index: 386 leaves, 1.56+/-2.026 terms/leaf
% # Paramod-into index: 580 leaves, 1.70+/-2.227 terms/leaf
% # -------------------------------------------------
% # User time : 2.217 s
% # System time : 0.084 s
% # Total time : 2.301 s
% # Maximum resident set size: 0 pages
% PrfWatch: 4.41 CPU 4.54 WC
% FINAL PrfWatch: 4.41 CPU 4.54 WC
% SZS output end Solution for /tmp/SystemOnTPTP19991/NUM462+1.tptp
%
%------------------------------------------------------------------------------