TSTP Solution File: NUM463+2 by SRASS---0.1
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- Process Solution
%------------------------------------------------------------------------------
% File : SRASS---0.1
% Problem : NUM463+2 : 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 19:21:12 EST 2010
% Result : Theorem 2.12s
% Output : Solution 2.12s
% 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/SystemOnTPTP20509/NUM463+2.tptp
% Adding relevance values
% Extracting the conjecture
% Sorting axioms by relevance
% Looking for THM ...
% found
% SZS status THM for /tmp/SystemOnTPTP20509/NUM463+2.tptp
% SZS output start Solution for /tmp/SystemOnTPTP20509/NUM463+2.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 20605
% TreeLimitedRun: ----------------------------------------------------------
% PrfWatch: 0.00 CPU 0.00 WC
% # Preprocessing time : 0.017 s
% # Problem is unsatisfiable (or provable), constructing proof object
% # SZS status Theorem
% # SZS output start CNFRefutation.
% fof(1, axiom,aNaturalNumber0(sz00),file('/tmp/SRASS.s.p', mSortsC)).
% fof(3, axiom,![X1]:![X2]:((aNaturalNumber0(X1)&aNaturalNumber0(X2))=>aNaturalNumber0(sdtasdt0(X1,X2))),file('/tmp/SRASS.s.p', mSortsB_02)).
% fof(6, axiom,![X1]:(aNaturalNumber0(X1)=>(sdtpldt0(X1,sz00)=X1&X1=sdtpldt0(sz00,X1))),file('/tmp/SRASS.s.p', m_AddZero)).
% fof(7, axiom,![X1]:![X2]:((aNaturalNumber0(X1)&aNaturalNumber0(X2))=>sdtasdt0(X1,X2)=sdtasdt0(X2,X1)),file('/tmp/SRASS.s.p', mMulComm)).
% fof(8, axiom,![X1]:![X2]:![X3]:(((aNaturalNumber0(X1)&aNaturalNumber0(X2))&aNaturalNumber0(X3))=>sdtasdt0(sdtasdt0(X1,X2),X3)=sdtasdt0(X1,sdtasdt0(X2,X3))),file('/tmp/SRASS.s.p', mMulAsso)).
% fof(9, axiom,![X1]:(aNaturalNumber0(X1)=>(sdtasdt0(X1,sz00)=sz00&sz00=sdtasdt0(sz00,X1))),file('/tmp/SRASS.s.p', m_MulZero)).
% fof(14, axiom,![X1]:![X2]:((aNaturalNumber0(X1)&aNaturalNumber0(X2))=>(sdtasdt0(X1,X2)=sz00=>(X1=sz00|X2=sz00))),file('/tmp/SRASS.s.p', mZeroMul)).
% fof(15, axiom,![X1]:![X2]:((aNaturalNumber0(X1)&aNaturalNumber0(X2))=>(sdtlseqdt0(X1,X2)<=>?[X3]:(aNaturalNumber0(X3)&sdtpldt0(X1,X3)=X2))),file('/tmp/SRASS.s.p', mDefLE)).
% fof(16, axiom,![X1]:(aNaturalNumber0(X1)=>sdtlseqdt0(X1,X1)),file('/tmp/SRASS.s.p', mLERefl)).
% fof(17, axiom,![X1]:![X2]:((aNaturalNumber0(X1)&aNaturalNumber0(X2))=>((sdtlseqdt0(X1,X2)&sdtlseqdt0(X2,X1))=>X1=X2)),file('/tmp/SRASS.s.p', mLEAsym)).
% fof(19, axiom,![X1]:![X2]:((aNaturalNumber0(X1)&aNaturalNumber0(X2))=>(sdtlseqdt0(X1,X2)|(~(X2=X1)&sdtlseqdt0(X2,X1)))),file('/tmp/SRASS.s.p', mLETotal)).
% fof(21, axiom,![X1]:![X2]:![X3]:(((aNaturalNumber0(X1)&aNaturalNumber0(X2))&aNaturalNumber0(X3))=>(((~(X1=sz00)&~(X2=X3))&sdtlseqdt0(X2,X3))=>(((~(sdtasdt0(X1,X2)=sdtasdt0(X1,X3))&sdtlseqdt0(sdtasdt0(X1,X2),sdtasdt0(X1,X3)))&~(sdtasdt0(X2,X1)=sdtasdt0(X3,X1)))&sdtlseqdt0(sdtasdt0(X2,X1),sdtasdt0(X3,X1))))),file('/tmp/SRASS.s.p', mMonMul)).
% fof(22, axiom,(aNaturalNumber0(xm)&aNaturalNumber0(xn)),file('/tmp/SRASS.s.p', m__987)).
% fof(23, axiom,![X1]:(aNaturalNumber0(X1)=>((X1=sz00|X1=sz10)|(~(sz10=X1)&sdtlseqdt0(sz10,X1)))),file('/tmp/SRASS.s.p', mLENTr)).
% fof(24, 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(25, axiom,(aNaturalNumber0(sz10)&~(sz10=sz00)),file('/tmp/SRASS.s.p', mSortsC_01)).
% fof(26, axiom,![X1]:(aNaturalNumber0(X1)=>(sdtasdt0(X1,sz10)=X1&X1=sdtasdt0(sz10,X1))),file('/tmp/SRASS.s.p', m_MulUnit)).
% fof(28, conjecture,(~(xm=sz00)=>(?[X1]:(aNaturalNumber0(X1)&sdtpldt0(xn,X1)=sdtasdt0(xn,xm))|sdtlseqdt0(xn,sdtasdt0(xn,xm)))),file('/tmp/SRASS.s.p', m__)).
% fof(29, negated_conjecture,~((~(xm=sz00)=>(?[X1]:(aNaturalNumber0(X1)&sdtpldt0(xn,X1)=sdtasdt0(xn,xm))|sdtlseqdt0(xn,sdtasdt0(xn,xm))))),inference(assume_negation,[status(cth)],[28])).
% cnf(31,plain,(aNaturalNumber0(sz00)),inference(split_conjunct,[status(thm)],[1])).
% fof(35, plain,![X1]:![X2]:((~(aNaturalNumber0(X1))|~(aNaturalNumber0(X2)))|aNaturalNumber0(sdtasdt0(X1,X2))),inference(fof_nnf,[status(thm)],[3])).
% fof(36, plain,![X3]:![X4]:((~(aNaturalNumber0(X3))|~(aNaturalNumber0(X4)))|aNaturalNumber0(sdtasdt0(X3,X4))),inference(variable_rename,[status(thm)],[35])).
% cnf(37,plain,(aNaturalNumber0(sdtasdt0(X1,X2))|~aNaturalNumber0(X2)|~aNaturalNumber0(X1)),inference(split_conjunct,[status(thm)],[36])).
% fof(44, plain,![X1]:(~(aNaturalNumber0(X1))|(sdtpldt0(X1,sz00)=X1&X1=sdtpldt0(sz00,X1))),inference(fof_nnf,[status(thm)],[6])).
% fof(45, plain,![X2]:(~(aNaturalNumber0(X2))|(sdtpldt0(X2,sz00)=X2&X2=sdtpldt0(sz00,X2))),inference(variable_rename,[status(thm)],[44])).
% fof(46, plain,![X2]:((sdtpldt0(X2,sz00)=X2|~(aNaturalNumber0(X2)))&(X2=sdtpldt0(sz00,X2)|~(aNaturalNumber0(X2)))),inference(distribute,[status(thm)],[45])).
% cnf(48,plain,(sdtpldt0(X1,sz00)=X1|~aNaturalNumber0(X1)),inference(split_conjunct,[status(thm)],[46])).
% fof(49, plain,![X1]:![X2]:((~(aNaturalNumber0(X1))|~(aNaturalNumber0(X2)))|sdtasdt0(X1,X2)=sdtasdt0(X2,X1)),inference(fof_nnf,[status(thm)],[7])).
% fof(50, plain,![X3]:![X4]:((~(aNaturalNumber0(X3))|~(aNaturalNumber0(X4)))|sdtasdt0(X3,X4)=sdtasdt0(X4,X3)),inference(variable_rename,[status(thm)],[49])).
% cnf(51,plain,(sdtasdt0(X1,X2)=sdtasdt0(X2,X1)|~aNaturalNumber0(X2)|~aNaturalNumber0(X1)),inference(split_conjunct,[status(thm)],[50])).
% fof(52, plain,![X1]:![X2]:![X3]:(((~(aNaturalNumber0(X1))|~(aNaturalNumber0(X2)))|~(aNaturalNumber0(X3)))|sdtasdt0(sdtasdt0(X1,X2),X3)=sdtasdt0(X1,sdtasdt0(X2,X3))),inference(fof_nnf,[status(thm)],[8])).
% fof(53, 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)],[52])).
% cnf(54,plain,(sdtasdt0(sdtasdt0(X1,X2),X3)=sdtasdt0(X1,sdtasdt0(X2,X3))|~aNaturalNumber0(X3)|~aNaturalNumber0(X2)|~aNaturalNumber0(X1)),inference(split_conjunct,[status(thm)],[53])).
% fof(55, plain,![X1]:(~(aNaturalNumber0(X1))|(sdtasdt0(X1,sz00)=sz00&sz00=sdtasdt0(sz00,X1))),inference(fof_nnf,[status(thm)],[9])).
% fof(56, plain,![X2]:(~(aNaturalNumber0(X2))|(sdtasdt0(X2,sz00)=sz00&sz00=sdtasdt0(sz00,X2))),inference(variable_rename,[status(thm)],[55])).
% fof(57, plain,![X2]:((sdtasdt0(X2,sz00)=sz00|~(aNaturalNumber0(X2)))&(sz00=sdtasdt0(sz00,X2)|~(aNaturalNumber0(X2)))),inference(distribute,[status(thm)],[56])).
% cnf(59,plain,(sdtasdt0(X1,sz00)=sz00|~aNaturalNumber0(X1)),inference(split_conjunct,[status(thm)],[57])).
% fof(81, plain,![X1]:![X2]:((~(aNaturalNumber0(X1))|~(aNaturalNumber0(X2)))|(~(sdtasdt0(X1,X2)=sz00)|(X1=sz00|X2=sz00))),inference(fof_nnf,[status(thm)],[14])).
% fof(82, plain,![X3]:![X4]:((~(aNaturalNumber0(X3))|~(aNaturalNumber0(X4)))|(~(sdtasdt0(X3,X4)=sz00)|(X3=sz00|X4=sz00))),inference(variable_rename,[status(thm)],[81])).
% cnf(83,plain,(X1=sz00|X2=sz00|sdtasdt0(X2,X1)!=sz00|~aNaturalNumber0(X1)|~aNaturalNumber0(X2)),inference(split_conjunct,[status(thm)],[82])).
% 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)],[15])).
% 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(92, plain,![X1]:(~(aNaturalNumber0(X1))|sdtlseqdt0(X1,X1)),inference(fof_nnf,[status(thm)],[16])).
% fof(93, plain,![X2]:(~(aNaturalNumber0(X2))|sdtlseqdt0(X2,X2)),inference(variable_rename,[status(thm)],[92])).
% cnf(94,plain,(sdtlseqdt0(X1,X1)|~aNaturalNumber0(X1)),inference(split_conjunct,[status(thm)],[93])).
% fof(95, plain,![X1]:![X2]:((~(aNaturalNumber0(X1))|~(aNaturalNumber0(X2)))|((~(sdtlseqdt0(X1,X2))|~(sdtlseqdt0(X2,X1)))|X1=X2)),inference(fof_nnf,[status(thm)],[17])).
% fof(96, plain,![X3]:![X4]:((~(aNaturalNumber0(X3))|~(aNaturalNumber0(X4)))|((~(sdtlseqdt0(X3,X4))|~(sdtlseqdt0(X4,X3)))|X3=X4)),inference(variable_rename,[status(thm)],[95])).
% cnf(97,plain,(X1=X2|~sdtlseqdt0(X2,X1)|~sdtlseqdt0(X1,X2)|~aNaturalNumber0(X2)|~aNaturalNumber0(X1)),inference(split_conjunct,[status(thm)],[96])).
% fof(101, plain,![X1]:![X2]:((~(aNaturalNumber0(X1))|~(aNaturalNumber0(X2)))|(sdtlseqdt0(X1,X2)|(~(X2=X1)&sdtlseqdt0(X2,X1)))),inference(fof_nnf,[status(thm)],[19])).
% fof(102, plain,![X3]:![X4]:((~(aNaturalNumber0(X3))|~(aNaturalNumber0(X4)))|(sdtlseqdt0(X3,X4)|(~(X4=X3)&sdtlseqdt0(X4,X3)))),inference(variable_rename,[status(thm)],[101])).
% fof(103, plain,![X3]:![X4]:(((~(X4=X3)|sdtlseqdt0(X3,X4))|(~(aNaturalNumber0(X3))|~(aNaturalNumber0(X4))))&((sdtlseqdt0(X4,X3)|sdtlseqdt0(X3,X4))|(~(aNaturalNumber0(X3))|~(aNaturalNumber0(X4))))),inference(distribute,[status(thm)],[102])).
% cnf(104,plain,(sdtlseqdt0(X2,X1)|sdtlseqdt0(X1,X2)|~aNaturalNumber0(X1)|~aNaturalNumber0(X2)),inference(split_conjunct,[status(thm)],[103])).
% fof(114, plain,![X1]:![X2]:![X3]:(((~(aNaturalNumber0(X1))|~(aNaturalNumber0(X2)))|~(aNaturalNumber0(X3)))|(((X1=sz00|X2=X3)|~(sdtlseqdt0(X2,X3)))|(((~(sdtasdt0(X1,X2)=sdtasdt0(X1,X3))&sdtlseqdt0(sdtasdt0(X1,X2),sdtasdt0(X1,X3)))&~(sdtasdt0(X2,X1)=sdtasdt0(X3,X1)))&sdtlseqdt0(sdtasdt0(X2,X1),sdtasdt0(X3,X1))))),inference(fof_nnf,[status(thm)],[21])).
% fof(115, plain,![X4]:![X5]:![X6]:(((~(aNaturalNumber0(X4))|~(aNaturalNumber0(X5)))|~(aNaturalNumber0(X6)))|(((X4=sz00|X5=X6)|~(sdtlseqdt0(X5,X6)))|(((~(sdtasdt0(X4,X5)=sdtasdt0(X4,X6))&sdtlseqdt0(sdtasdt0(X4,X5),sdtasdt0(X4,X6)))&~(sdtasdt0(X5,X4)=sdtasdt0(X6,X4)))&sdtlseqdt0(sdtasdt0(X5,X4),sdtasdt0(X6,X4))))),inference(variable_rename,[status(thm)],[114])).
% fof(116, plain,![X4]:![X5]:![X6]:(((((~(sdtasdt0(X4,X5)=sdtasdt0(X4,X6))|((X4=sz00|X5=X6)|~(sdtlseqdt0(X5,X6))))|((~(aNaturalNumber0(X4))|~(aNaturalNumber0(X5)))|~(aNaturalNumber0(X6))))&((sdtlseqdt0(sdtasdt0(X4,X5),sdtasdt0(X4,X6))|((X4=sz00|X5=X6)|~(sdtlseqdt0(X5,X6))))|((~(aNaturalNumber0(X4))|~(aNaturalNumber0(X5)))|~(aNaturalNumber0(X6)))))&((~(sdtasdt0(X5,X4)=sdtasdt0(X6,X4))|((X4=sz00|X5=X6)|~(sdtlseqdt0(X5,X6))))|((~(aNaturalNumber0(X4))|~(aNaturalNumber0(X5)))|~(aNaturalNumber0(X6)))))&((sdtlseqdt0(sdtasdt0(X5,X4),sdtasdt0(X6,X4))|((X4=sz00|X5=X6)|~(sdtlseqdt0(X5,X6))))|((~(aNaturalNumber0(X4))|~(aNaturalNumber0(X5)))|~(aNaturalNumber0(X6))))),inference(distribute,[status(thm)],[115])).
% cnf(119,plain,(X2=X1|X3=sz00|sdtlseqdt0(sdtasdt0(X3,X2),sdtasdt0(X3,X1))|~aNaturalNumber0(X1)|~aNaturalNumber0(X2)|~aNaturalNumber0(X3)|~sdtlseqdt0(X2,X1)),inference(split_conjunct,[status(thm)],[116])).
% cnf(121,plain,(aNaturalNumber0(xn)),inference(split_conjunct,[status(thm)],[22])).
% cnf(122,plain,(aNaturalNumber0(xm)),inference(split_conjunct,[status(thm)],[22])).
% fof(123, plain,![X1]:(~(aNaturalNumber0(X1))|((X1=sz00|X1=sz10)|(~(sz10=X1)&sdtlseqdt0(sz10,X1)))),inference(fof_nnf,[status(thm)],[23])).
% fof(124, plain,![X2]:(~(aNaturalNumber0(X2))|((X2=sz00|X2=sz10)|(~(sz10=X2)&sdtlseqdt0(sz10,X2)))),inference(variable_rename,[status(thm)],[123])).
% fof(125, plain,![X2]:(((~(sz10=X2)|(X2=sz00|X2=sz10))|~(aNaturalNumber0(X2)))&((sdtlseqdt0(sz10,X2)|(X2=sz00|X2=sz10))|~(aNaturalNumber0(X2)))),inference(distribute,[status(thm)],[124])).
% cnf(126,plain,(X1=sz10|X1=sz00|sdtlseqdt0(sz10,X1)|~aNaturalNumber0(X1)),inference(split_conjunct,[status(thm)],[125])).
% fof(128, 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)],[24])).
% fof(129, 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)],[128])).
% fof(130, 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)],[129])).
% fof(131, 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)],[130])).
% cnf(132,plain,(X3=sdtmndt0(X1,X2)|~aNaturalNumber0(X1)|~aNaturalNumber0(X2)|~sdtlseqdt0(X2,X1)|sdtpldt0(X2,X3)!=X1|~aNaturalNumber0(X3)),inference(split_conjunct,[status(thm)],[131])).
% cnf(134,plain,(aNaturalNumber0(X3)|~aNaturalNumber0(X1)|~aNaturalNumber0(X2)|~sdtlseqdt0(X2,X1)|X3!=sdtmndt0(X1,X2)),inference(split_conjunct,[status(thm)],[131])).
% cnf(135,plain,(sz10!=sz00),inference(split_conjunct,[status(thm)],[25])).
% cnf(136,plain,(aNaturalNumber0(sz10)),inference(split_conjunct,[status(thm)],[25])).
% fof(137, plain,![X1]:(~(aNaturalNumber0(X1))|(sdtasdt0(X1,sz10)=X1&X1=sdtasdt0(sz10,X1))),inference(fof_nnf,[status(thm)],[26])).
% fof(138, plain,![X2]:(~(aNaturalNumber0(X2))|(sdtasdt0(X2,sz10)=X2&X2=sdtasdt0(sz10,X2))),inference(variable_rename,[status(thm)],[137])).
% fof(139, plain,![X2]:((sdtasdt0(X2,sz10)=X2|~(aNaturalNumber0(X2)))&(X2=sdtasdt0(sz10,X2)|~(aNaturalNumber0(X2)))),inference(distribute,[status(thm)],[138])).
% cnf(140,plain,(X1=sdtasdt0(sz10,X1)|~aNaturalNumber0(X1)),inference(split_conjunct,[status(thm)],[139])).
% cnf(141,plain,(sdtasdt0(X1,sz10)=X1|~aNaturalNumber0(X1)),inference(split_conjunct,[status(thm)],[139])).
% fof(144, negated_conjecture,(~(xm=sz00)&(![X1]:(~(aNaturalNumber0(X1))|~(sdtpldt0(xn,X1)=sdtasdt0(xn,xm)))&~(sdtlseqdt0(xn,sdtasdt0(xn,xm))))),inference(fof_nnf,[status(thm)],[29])).
% fof(145, negated_conjecture,(~(xm=sz00)&(![X2]:(~(aNaturalNumber0(X2))|~(sdtpldt0(xn,X2)=sdtasdt0(xn,xm)))&~(sdtlseqdt0(xn,sdtasdt0(xn,xm))))),inference(variable_rename,[status(thm)],[144])).
% fof(146, negated_conjecture,![X2]:(((~(aNaturalNumber0(X2))|~(sdtpldt0(xn,X2)=sdtasdt0(xn,xm)))&~(sdtlseqdt0(xn,sdtasdt0(xn,xm))))&~(xm=sz00)),inference(shift_quantors,[status(thm)],[145])).
% cnf(147,negated_conjecture,(xm!=sz00),inference(split_conjunct,[status(thm)],[146])).
% cnf(148,negated_conjecture,(~sdtlseqdt0(xn,sdtasdt0(xn,xm))),inference(split_conjunct,[status(thm)],[146])).
% cnf(149,negated_conjecture,(sdtpldt0(xn,X1)!=sdtasdt0(xn,xm)|~aNaturalNumber0(X1)),inference(split_conjunct,[status(thm)],[146])).
% cnf(153,plain,(sdtmndt0(X1,X2)=X3|sdtpldt0(X2,X3)!=X1|~aNaturalNumber0(X3)|~aNaturalNumber0(X2)|~aNaturalNumber0(X1)),inference(csr,[status(thm)],[132,91])).
% cnf(182,plain,(sdtlseqdt0(sz10,X1)|sdtlseqdt0(X1,sz10)|~aNaturalNumber0(X1)),inference(spm,[status(thm)],[104,136,theory(equality)])).
% cnf(247,plain,(X1=sz10|sz00=X1|~sdtlseqdt0(X1,sz10)|~aNaturalNumber0(sz10)|~aNaturalNumber0(X1)),inference(spm,[status(thm)],[97,126,theory(equality)])).
% cnf(248,plain,(X1=sz10|sz00=X1|~sdtlseqdt0(X1,sz10)|$false|~aNaturalNumber0(X1)),inference(rw,[status(thm)],[247,136,theory(equality)])).
% cnf(249,plain,(X1=sz10|sz00=X1|~sdtlseqdt0(X1,sz10)|~aNaturalNumber0(X1)),inference(cn,[status(thm)],[248,theory(equality)])).
% cnf(282,negated_conjecture,(sdtasdt0(xn,xm)!=X1|~aNaturalNumber0(esk1_2(xn,X1))|~sdtlseqdt0(xn,X1)|~aNaturalNumber0(xn)|~aNaturalNumber0(X1)),inference(spm,[status(thm)],[149,89,theory(equality)])).
% cnf(290,negated_conjecture,(sdtasdt0(xn,xm)!=X1|~aNaturalNumber0(esk1_2(xn,X1))|~sdtlseqdt0(xn,X1)|$false|~aNaturalNumber0(X1)),inference(rw,[status(thm)],[282,121,theory(equality)])).
% cnf(291,negated_conjecture,(sdtasdt0(xn,xm)!=X1|~aNaturalNumber0(esk1_2(xn,X1))|~sdtlseqdt0(xn,X1)|~aNaturalNumber0(X1)),inference(cn,[status(thm)],[290,theory(equality)])).
% cnf(338,plain,(sdtasdt0(X1,sdtasdt0(X2,sz10))=sdtasdt0(X1,X2)|~aNaturalNumber0(sdtasdt0(X1,X2))|~aNaturalNumber0(sz10)|~aNaturalNumber0(X2)|~aNaturalNumber0(X1)),inference(spm,[status(thm)],[141,54,theory(equality)])).
% cnf(341,plain,(sz00=sdtasdt0(X1,X2)|sz00=X3|sdtasdt0(X1,sdtasdt0(X2,X3))!=sz00|~aNaturalNumber0(sdtasdt0(X1,X2))|~aNaturalNumber0(X3)|~aNaturalNumber0(X2)|~aNaturalNumber0(X1)),inference(spm,[status(thm)],[83,54,theory(equality)])).
% cnf(345,plain,(sdtasdt0(X1,X2)=sdtasdt0(sz10,sdtasdt0(X1,X2))|~aNaturalNumber0(X2)|~aNaturalNumber0(X1)|~aNaturalNumber0(sz10)),inference(spm,[status(thm)],[54,140,theory(equality)])).
% cnf(351,plain,(sdtasdt0(X1,sdtasdt0(X2,sz10))=sdtasdt0(X1,X2)|~aNaturalNumber0(sdtasdt0(X1,X2))|$false|~aNaturalNumber0(X2)|~aNaturalNumber0(X1)),inference(rw,[status(thm)],[338,136,theory(equality)])).
% cnf(352,plain,(sdtasdt0(X1,sdtasdt0(X2,sz10))=sdtasdt0(X1,X2)|~aNaturalNumber0(sdtasdt0(X1,X2))|~aNaturalNumber0(X2)|~aNaturalNumber0(X1)),inference(cn,[status(thm)],[351,theory(equality)])).
% cnf(355,plain,(sdtasdt0(X1,X2)=sdtasdt0(sz10,sdtasdt0(X1,X2))|~aNaturalNumber0(X2)|~aNaturalNumber0(X1)|$false),inference(rw,[status(thm)],[345,136,theory(equality)])).
% cnf(356,plain,(sdtasdt0(X1,X2)=sdtasdt0(sz10,sdtasdt0(X1,X2))|~aNaturalNumber0(X2)|~aNaturalNumber0(X1)),inference(cn,[status(thm)],[355,theory(equality)])).
% cnf(466,plain,(sdtmndt0(X1,X2)=sz00|X2!=X1|~aNaturalNumber0(sz00)|~aNaturalNumber0(X2)|~aNaturalNumber0(X1)),inference(spm,[status(thm)],[153,48,theory(equality)])).
% cnf(473,plain,(sdtmndt0(X1,X2)=sz00|X2!=X1|$false|~aNaturalNumber0(X2)|~aNaturalNumber0(X1)),inference(rw,[status(thm)],[466,31,theory(equality)])).
% cnf(474,plain,(sdtmndt0(X1,X2)=sz00|X2!=X1|~aNaturalNumber0(X2)|~aNaturalNumber0(X1)),inference(cn,[status(thm)],[473,theory(equality)])).
% cnf(475,plain,(sdtmndt0(X1,X1)=sz00|~aNaturalNumber0(X1)),inference(er,[status(thm)],[474,theory(equality)])).
% cnf(580,plain,(sz00=X1|X2=sz10|sdtlseqdt0(X1,sdtasdt0(X1,X2))|~sdtlseqdt0(sz10,X2)|~aNaturalNumber0(X1)|~aNaturalNumber0(sz10)|~aNaturalNumber0(X2)),inference(spm,[status(thm)],[119,141,theory(equality)])).
% cnf(594,plain,(sz00=X1|X2=sz10|sdtlseqdt0(X1,sdtasdt0(X1,X2))|~sdtlseqdt0(sz10,X2)|~aNaturalNumber0(X1)|$false|~aNaturalNumber0(X2)),inference(rw,[status(thm)],[580,136,theory(equality)])).
% cnf(595,plain,(sz00=X1|X2=sz10|sdtlseqdt0(X1,sdtasdt0(X1,X2))|~sdtlseqdt0(sz10,X2)|~aNaturalNumber0(X1)|~aNaturalNumber0(X2)),inference(cn,[status(thm)],[594,theory(equality)])).
% cnf(635,plain,(sdtlseqdt0(xm,sz10)|sdtlseqdt0(sz10,xm)),inference(spm,[status(thm)],[182,122,theory(equality)])).
% cnf(761,negated_conjecture,(sdtasdt0(xn,xm)!=X1|~sdtlseqdt0(xn,X1)|~aNaturalNumber0(X1)|~aNaturalNumber0(xn)),inference(spm,[status(thm)],[291,90,theory(equality)])).
% cnf(762,negated_conjecture,(sdtasdt0(xn,xm)!=X1|~sdtlseqdt0(xn,X1)|~aNaturalNumber0(X1)|$false),inference(rw,[status(thm)],[761,121,theory(equality)])).
% cnf(763,negated_conjecture,(sdtasdt0(xn,xm)!=X1|~sdtlseqdt0(xn,X1)|~aNaturalNumber0(X1)),inference(cn,[status(thm)],[762,theory(equality)])).
% cnf(764,negated_conjecture,(sdtasdt0(xn,xm)!=xn|~aNaturalNumber0(xn)),inference(spm,[status(thm)],[763,94,theory(equality)])).
% cnf(768,negated_conjecture,(sdtasdt0(xn,xm)!=xn|$false),inference(rw,[status(thm)],[764,121,theory(equality)])).
% cnf(769,negated_conjecture,(sdtasdt0(xn,xm)!=xn),inference(cn,[status(thm)],[768,theory(equality)])).
% cnf(1136,plain,(aNaturalNumber0(X1)|sz00!=X1|~sdtlseqdt0(X2,X2)|~aNaturalNumber0(X2)),inference(spm,[status(thm)],[134,475,theory(equality)])).
% cnf(1325,plain,(sz00=xm|xm=sz10|sdtlseqdt0(sz10,xm)|~aNaturalNumber0(xm)),inference(spm,[status(thm)],[249,635,theory(equality)])).
% cnf(1328,plain,(sz00=xm|xm=sz10|sdtlseqdt0(sz10,xm)|$false),inference(rw,[status(thm)],[1325,122,theory(equality)])).
% cnf(1329,plain,(sz00=xm|xm=sz10|sdtlseqdt0(sz10,xm)),inference(cn,[status(thm)],[1328,theory(equality)])).
% cnf(1330,plain,(xm=sz10|sdtlseqdt0(sz10,xm)),inference(sr,[status(thm)],[1329,147,theory(equality)])).
% cnf(1881,plain,(aNaturalNumber0(X1)|sz00!=X1|~aNaturalNumber0(X2)),inference(csr,[status(thm)],[1136,94])).
% cnf(1883,plain,(aNaturalNumber0(X1)|sz00!=X1),inference(spm,[status(thm)],[1881,136,theory(equality)])).
% cnf(4880,plain,(sdtasdt0(X1,sdtasdt0(X2,sz10))=sdtasdt0(X1,X2)|~aNaturalNumber0(X2)|~aNaturalNumber0(X1)),inference(csr,[status(thm)],[352,37])).
% cnf(5282,plain,(sdtasdt0(X1,X2)=sz00|sz00=X3|sdtasdt0(X1,sdtasdt0(X2,X3))!=sz00|~aNaturalNumber0(X3)|~aNaturalNumber0(X2)|~aNaturalNumber0(X1)),inference(csr,[status(thm)],[341,37])).
% cnf(5563,plain,(sdtasdt0(X1,sz10)=sdtasdt0(sz10,X1)|~aNaturalNumber0(X1)|~aNaturalNumber0(sz10)),inference(spm,[status(thm)],[4880,356,theory(equality)])).
% cnf(5629,plain,(sdtasdt0(X1,sz10)=sdtasdt0(sz10,X1)|~aNaturalNumber0(X1)|$false),inference(rw,[status(thm)],[5563,136,theory(equality)])).
% cnf(5630,plain,(sdtasdt0(X1,sz10)=sdtasdt0(sz10,X1)|~aNaturalNumber0(X1)),inference(cn,[status(thm)],[5629,theory(equality)])).
% cnf(6533,plain,(sdtasdt0(X1,X2)=sz00|sz00=sz10|sdtasdt0(X1,sdtasdt0(sz10,X2))!=sz00|~aNaturalNumber0(sz10)|~aNaturalNumber0(X2)|~aNaturalNumber0(X1)),inference(spm,[status(thm)],[5282,5630,theory(equality)])).
% cnf(6680,plain,(sdtasdt0(X1,X2)=sz00|sz00=sz10|sdtasdt0(X1,sdtasdt0(sz10,X2))!=sz00|$false|~aNaturalNumber0(X2)|~aNaturalNumber0(X1)),inference(rw,[status(thm)],[6533,136,theory(equality)])).
% cnf(6681,plain,(sdtasdt0(X1,X2)=sz00|sz00=sz10|sdtasdt0(X1,sdtasdt0(sz10,X2))!=sz00|~aNaturalNumber0(X2)|~aNaturalNumber0(X1)),inference(cn,[status(thm)],[6680,theory(equality)])).
% cnf(6682,plain,(sdtasdt0(X1,X2)=sz00|sdtasdt0(X1,sdtasdt0(sz10,X2))!=sz00|~aNaturalNumber0(X2)|~aNaturalNumber0(X1)),inference(sr,[status(thm)],[6681,135,theory(equality)])).
% cnf(10120,plain,(sdtasdt0(X1,X2)=sz00|sdtasdt0(X1,sdtasdt0(X2,sz10))!=sz00|~aNaturalNumber0(X2)|~aNaturalNumber0(X1)|~aNaturalNumber0(sz10)),inference(spm,[status(thm)],[6682,51,theory(equality)])).
% cnf(10161,plain,(sdtasdt0(X1,X2)=sz00|sdtasdt0(X1,sdtasdt0(X2,sz10))!=sz00|~aNaturalNumber0(X2)|~aNaturalNumber0(X1)|$false),inference(rw,[status(thm)],[10120,136,theory(equality)])).
% cnf(10162,plain,(sdtasdt0(X1,X2)=sz00|sdtasdt0(X1,sdtasdt0(X2,sz10))!=sz00|~aNaturalNumber0(X2)|~aNaturalNumber0(X1)),inference(cn,[status(thm)],[10161,theory(equality)])).
% cnf(10201,plain,(sdtasdt0(sz10,X1)=sz00|sdtasdt0(X1,sz10)!=sz00|~aNaturalNumber0(X1)|~aNaturalNumber0(sz10)),inference(spm,[status(thm)],[10162,356,theory(equality)])).
% cnf(10238,plain,(sdtasdt0(sz10,X1)=sz00|sdtasdt0(X1,sz10)!=sz00|~aNaturalNumber0(X1)|$false),inference(rw,[status(thm)],[10201,136,theory(equality)])).
% cnf(10239,plain,(sdtasdt0(sz10,X1)=sz00|sdtasdt0(X1,sz10)!=sz00|~aNaturalNumber0(X1)),inference(cn,[status(thm)],[10238,theory(equality)])).
% cnf(10321,plain,(sdtasdt0(sz10,X1)=sz00|X1!=sz00|~aNaturalNumber0(X1)),inference(spm,[status(thm)],[10239,141,theory(equality)])).
% cnf(10438,plain,(sdtasdt0(sz10,X1)=sz00|X1!=sz00),inference(csr,[status(thm)],[10321,1883])).
% cnf(10507,plain,(sdtasdt0(X1,X2)=sz00|sdtasdt0(X1,sz00)!=sz00|~aNaturalNumber0(X2)|~aNaturalNumber0(X1)|X2!=sz00),inference(spm,[status(thm)],[6682,10438,theory(equality)])).
% cnf(11034,plain,(sdtasdt0(X1,X2)=sz00|sdtasdt0(X1,sz00)!=sz00|X2!=sz00|~aNaturalNumber0(X1)),inference(csr,[status(thm)],[10507,1883])).
% cnf(11035,plain,(sdtasdt0(X1,X2)=sz00|X2!=sz00|~aNaturalNumber0(X1)),inference(csr,[status(thm)],[11034,59])).
% cnf(11092,plain,(sdtasdt0(X1,X2)=sz00|~aNaturalNumber0(X2)|~aNaturalNumber0(X1)|X1!=sz00),inference(spm,[status(thm)],[51,11035,theory(equality)])).
% cnf(11189,plain,(sdtasdt0(X1,X2)=sz00|X1!=sz00|~aNaturalNumber0(X2)),inference(csr,[status(thm)],[11092,1883])).
% cnf(11205,negated_conjecture,(sz00!=xn|~aNaturalNumber0(xm)),inference(spm,[status(thm)],[769,11189,theory(equality)])).
% cnf(11288,negated_conjecture,(sz00!=xn|$false),inference(rw,[status(thm)],[11205,122,theory(equality)])).
% cnf(11289,negated_conjecture,(sz00!=xn),inference(cn,[status(thm)],[11288,theory(equality)])).
% cnf(34483,negated_conjecture,(xm=sz10|sz00=xn|~sdtlseqdt0(sz10,xm)|~aNaturalNumber0(xn)|~aNaturalNumber0(xm)),inference(spm,[status(thm)],[148,595,theory(equality)])).
% cnf(34538,negated_conjecture,(xm=sz10|sz00=xn|~sdtlseqdt0(sz10,xm)|$false|~aNaturalNumber0(xm)),inference(rw,[status(thm)],[34483,121,theory(equality)])).
% cnf(34539,negated_conjecture,(xm=sz10|sz00=xn|~sdtlseqdt0(sz10,xm)|$false|$false),inference(rw,[status(thm)],[34538,122,theory(equality)])).
% cnf(34540,negated_conjecture,(xm=sz10|sz00=xn|~sdtlseqdt0(sz10,xm)),inference(cn,[status(thm)],[34539,theory(equality)])).
% cnf(34541,negated_conjecture,(xm=sz10|~sdtlseqdt0(sz10,xm)),inference(sr,[status(thm)],[34540,11289,theory(equality)])).
% cnf(34597,negated_conjecture,(xm=sz10),inference(csr,[status(thm)],[34541,1330])).
% cnf(34725,negated_conjecture,(sdtasdt0(xn,sz10)!=xn),inference(rw,[status(thm)],[769,34597,theory(equality)])).
% cnf(34756,negated_conjecture,(~aNaturalNumber0(xn)),inference(spm,[status(thm)],[34725,141,theory(equality)])).
% cnf(34773,negated_conjecture,($false),inference(rw,[status(thm)],[34756,121,theory(equality)])).
% cnf(34774,negated_conjecture,($false),inference(cn,[status(thm)],[34773,theory(equality)])).
% cnf(34775,negated_conjecture,($false),34774,['proof']).
% # SZS output end CNFRefutation
% # Processed clauses : 1938
% # ...of these trivial : 40
% # ...subsumed : 1366
% # ...remaining for further processing: 532
% # Other redundant clauses eliminated : 37
% # Clauses deleted for lack of memory : 0
% # Backward-subsumed : 66
% # Backward-rewritten : 110
% # Generated clauses : 15522
% # ...of the previous two non-trivial : 14234
% # Contextual simplify-reflections : 811
% # Paramodulations : 15452
% # Factorizations : 0
% # Equation resolutions : 68
% # Current number of processed clauses: 309
% # Positive orientable unit clauses: 19
% # Positive unorientable unit clauses: 0
% # Negative unit clauses : 5
% # Non-unit-clauses : 285
% # Current number of unprocessed clauses: 11710
% # ...number of literals in the above : 72716
% # Clause-clause subsumption calls (NU) : 18937
% # Rec. Clause-clause subsumption calls : 10047
% # Unit Clause-clause subsumption calls : 115
% # Rewrite failures with RHS unbound : 0
% # Indexed BW rewrite attempts : 11
% # Indexed BW rewrite successes : 11
% # Backwards rewriting index: 204 leaves, 1.64+/-1.840 terms/leaf
% # Paramod-from index: 150 leaves, 1.17+/-0.522 terms/leaf
% # Paramod-into index: 174 leaves, 1.60+/-1.741 terms/leaf
% # -------------------------------------------------
% # User time : 0.701 s
% # System time : 0.023 s
% # Total time : 0.724 s
% # Maximum resident set size: 0 pages
% PrfWatch: 1.28 CPU 1.39 WC
% FINAL PrfWatch: 1.28 CPU 1.39 WC
% SZS output end Solution for /tmp/SystemOnTPTP20509/NUM463+2.tptp
%
%------------------------------------------------------------------------------