TSTP Solution File: NUM469+2 by SRASS---0.1

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SRASS---0.1
% Problem  : NUM469+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 : art06.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 19:23:20 EST 2010

% Result   : Theorem 1.15s
% Output   : Solution 1.15s
% 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/SystemOnTPTP22259/NUM469+2.tptp
% Adding relevance values
% Extracting the conjecture
% Sorting axioms by relevance
% Looking for THM       ... 
% found
% SZS status THM for /tmp/SystemOnTPTP22259/NUM469+2.tptp
% SZS output start Solution for /tmp/SystemOnTPTP22259/NUM469+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 22355
% TreeLimitedRun: ----------------------------------------------------------
% PrfWatch: 0.00 CPU 0.02 WC
% # Preprocessing time     : 0.019 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(2, axiom,![X1]:![X2]:((aNaturalNumber0(X1)&aNaturalNumber0(X2))=>aNaturalNumber0(sdtpldt0(X1,X2))),file('/tmp/SRASS.s.p', mSortsB)).
% 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(9, axiom,![X1]:(aNaturalNumber0(X1)=>(sdtasdt0(X1,sz00)=sz00&sz00=sdtasdt0(sz00,X1))),file('/tmp/SRASS.s.p', m_MulZero)).
% fof(12, 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(15, axiom,![X1]:![X2]:((aNaturalNumber0(X1)&aNaturalNumber0(X2))=>(doDivides0(X1,X2)<=>?[X3]:(aNaturalNumber0(X3)&X2=sdtasdt0(X1,X3)))),file('/tmp/SRASS.s.p', mDefDiv)).
% fof(17, axiom,![X1]:![X2]:![X3]:(((aNaturalNumber0(X1)&aNaturalNumber0(X2))&aNaturalNumber0(X3))=>((doDivides0(X1,X2)&doDivides0(X2,X3))=>doDivides0(X1,X3))),file('/tmp/SRASS.s.p', mDivTrans)).
% fof(18, axiom,((aNaturalNumber0(xl)&aNaturalNumber0(xm))&aNaturalNumber0(xn)),file('/tmp/SRASS.s.p', m__1240)).
% fof(19, axiom,(((?[X1]:(aNaturalNumber0(X1)&xm=sdtasdt0(xl,X1))&doDivides0(xl,xm))&?[X1]:(aNaturalNumber0(X1)&xn=sdtasdt0(xl,X1)))&doDivides0(xl,xn)),file('/tmp/SRASS.s.p', m__1240_04)).
% fof(20, axiom,(~(xl=sz00)=>((((aNaturalNumber0(sdtsldt0(xm,xl))&xm=sdtasdt0(xl,sdtsldt0(xm,xl)))&aNaturalNumber0(sdtsldt0(xn,xl)))&xn=sdtasdt0(xl,sdtsldt0(xn,xl)))&sdtpldt0(xm,xn)=sdtasdt0(xl,sdtpldt0(sdtsldt0(xm,xl),sdtsldt0(xn,xl))))),file('/tmp/SRASS.s.p', m__1298)).
% fof(36, conjecture,(?[X1]:(aNaturalNumber0(X1)&sdtpldt0(xm,xn)=sdtasdt0(xl,X1))|doDivides0(xl,sdtpldt0(xm,xn))),file('/tmp/SRASS.s.p', m__)).
% fof(37, negated_conjecture,~((?[X1]:(aNaturalNumber0(X1)&sdtpldt0(xm,xn)=sdtasdt0(xl,X1))|doDivides0(xl,sdtpldt0(xm,xn)))),inference(assume_negation,[status(cth)],[36])).
% cnf(40,plain,(aNaturalNumber0(sz00)),inference(split_conjunct,[status(thm)],[1])).
% fof(41, plain,![X1]:![X2]:((~(aNaturalNumber0(X1))|~(aNaturalNumber0(X2)))|aNaturalNumber0(sdtpldt0(X1,X2))),inference(fof_nnf,[status(thm)],[2])).
% fof(42, plain,![X3]:![X4]:((~(aNaturalNumber0(X3))|~(aNaturalNumber0(X4)))|aNaturalNumber0(sdtpldt0(X3,X4))),inference(variable_rename,[status(thm)],[41])).
% cnf(43,plain,(aNaturalNumber0(sdtpldt0(X1,X2))|~aNaturalNumber0(X2)|~aNaturalNumber0(X1)),inference(split_conjunct,[status(thm)],[42])).
% fof(44, plain,![X1]:![X2]:((~(aNaturalNumber0(X1))|~(aNaturalNumber0(X2)))|aNaturalNumber0(sdtasdt0(X1,X2))),inference(fof_nnf,[status(thm)],[3])).
% fof(45, plain,![X3]:![X4]:((~(aNaturalNumber0(X3))|~(aNaturalNumber0(X4)))|aNaturalNumber0(sdtasdt0(X3,X4))),inference(variable_rename,[status(thm)],[44])).
% cnf(46,plain,(aNaturalNumber0(sdtasdt0(X1,X2))|~aNaturalNumber0(X2)|~aNaturalNumber0(X1)),inference(split_conjunct,[status(thm)],[45])).
% fof(53, plain,![X1]:(~(aNaturalNumber0(X1))|(sdtpldt0(X1,sz00)=X1&X1=sdtpldt0(sz00,X1))),inference(fof_nnf,[status(thm)],[6])).
% fof(54, plain,![X2]:(~(aNaturalNumber0(X2))|(sdtpldt0(X2,sz00)=X2&X2=sdtpldt0(sz00,X2))),inference(variable_rename,[status(thm)],[53])).
% fof(55, plain,![X2]:((sdtpldt0(X2,sz00)=X2|~(aNaturalNumber0(X2)))&(X2=sdtpldt0(sz00,X2)|~(aNaturalNumber0(X2)))),inference(distribute,[status(thm)],[54])).
% cnf(57,plain,(sdtpldt0(X1,sz00)=X1|~aNaturalNumber0(X1)),inference(split_conjunct,[status(thm)],[55])).
% fof(64, plain,![X1]:(~(aNaturalNumber0(X1))|(sdtasdt0(X1,sz00)=sz00&sz00=sdtasdt0(sz00,X1))),inference(fof_nnf,[status(thm)],[9])).
% fof(65, plain,![X2]:(~(aNaturalNumber0(X2))|(sdtasdt0(X2,sz00)=sz00&sz00=sdtasdt0(sz00,X2))),inference(variable_rename,[status(thm)],[64])).
% fof(66, plain,![X2]:((sdtasdt0(X2,sz00)=sz00|~(aNaturalNumber0(X2)))&(sz00=sdtasdt0(sz00,X2)|~(aNaturalNumber0(X2)))),inference(distribute,[status(thm)],[65])).
% cnf(67,plain,(sz00=sdtasdt0(sz00,X1)|~aNaturalNumber0(X1)),inference(split_conjunct,[status(thm)],[66])).
% cnf(68,plain,(sdtasdt0(X1,sz00)=sz00|~aNaturalNumber0(X1)),inference(split_conjunct,[status(thm)],[66])).
% fof(79, 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)],[12])).
% fof(80, 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)],[79])).
% fof(81, 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)],[80])).
% fof(82, 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)],[81])).
% cnf(84,plain,(X1=sz00|X3=X2|~aNaturalNumber0(X1)|~aNaturalNumber0(X2)|~aNaturalNumber0(X3)|sdtasdt0(X1,X3)!=sdtasdt0(X1,X2)),inference(split_conjunct,[status(thm)],[82])).
% fof(93, plain,![X1]:![X2]:((~(aNaturalNumber0(X1))|~(aNaturalNumber0(X2)))|((~(doDivides0(X1,X2))|?[X3]:(aNaturalNumber0(X3)&X2=sdtasdt0(X1,X3)))&(![X3]:(~(aNaturalNumber0(X3))|~(X2=sdtasdt0(X1,X3)))|doDivides0(X1,X2)))),inference(fof_nnf,[status(thm)],[15])).
% fof(94, plain,![X4]:![X5]:((~(aNaturalNumber0(X4))|~(aNaturalNumber0(X5)))|((~(doDivides0(X4,X5))|?[X6]:(aNaturalNumber0(X6)&X5=sdtasdt0(X4,X6)))&(![X7]:(~(aNaturalNumber0(X7))|~(X5=sdtasdt0(X4,X7)))|doDivides0(X4,X5)))),inference(variable_rename,[status(thm)],[93])).
% fof(95, plain,![X4]:![X5]:((~(aNaturalNumber0(X4))|~(aNaturalNumber0(X5)))|((~(doDivides0(X4,X5))|(aNaturalNumber0(esk1_2(X4,X5))&X5=sdtasdt0(X4,esk1_2(X4,X5))))&(![X7]:(~(aNaturalNumber0(X7))|~(X5=sdtasdt0(X4,X7)))|doDivides0(X4,X5)))),inference(skolemize,[status(esa)],[94])).
% fof(96, plain,![X4]:![X5]:![X7]:((((~(aNaturalNumber0(X7))|~(X5=sdtasdt0(X4,X7)))|doDivides0(X4,X5))&(~(doDivides0(X4,X5))|(aNaturalNumber0(esk1_2(X4,X5))&X5=sdtasdt0(X4,esk1_2(X4,X5)))))|(~(aNaturalNumber0(X4))|~(aNaturalNumber0(X5)))),inference(shift_quantors,[status(thm)],[95])).
% fof(97, plain,![X4]:![X5]:![X7]:((((~(aNaturalNumber0(X7))|~(X5=sdtasdt0(X4,X7)))|doDivides0(X4,X5))|(~(aNaturalNumber0(X4))|~(aNaturalNumber0(X5))))&(((aNaturalNumber0(esk1_2(X4,X5))|~(doDivides0(X4,X5)))|(~(aNaturalNumber0(X4))|~(aNaturalNumber0(X5))))&((X5=sdtasdt0(X4,esk1_2(X4,X5))|~(doDivides0(X4,X5)))|(~(aNaturalNumber0(X4))|~(aNaturalNumber0(X5)))))),inference(distribute,[status(thm)],[96])).
% cnf(98,plain,(X1=sdtasdt0(X2,esk1_2(X2,X1))|~aNaturalNumber0(X1)|~aNaturalNumber0(X2)|~doDivides0(X2,X1)),inference(split_conjunct,[status(thm)],[97])).
% cnf(99,plain,(aNaturalNumber0(esk1_2(X2,X1))|~aNaturalNumber0(X1)|~aNaturalNumber0(X2)|~doDivides0(X2,X1)),inference(split_conjunct,[status(thm)],[97])).
% cnf(100,plain,(doDivides0(X2,X1)|~aNaturalNumber0(X1)|~aNaturalNumber0(X2)|X1!=sdtasdt0(X2,X3)|~aNaturalNumber0(X3)),inference(split_conjunct,[status(thm)],[97])).
% fof(108, plain,![X1]:![X2]:![X3]:(((~(aNaturalNumber0(X1))|~(aNaturalNumber0(X2)))|~(aNaturalNumber0(X3)))|((~(doDivides0(X1,X2))|~(doDivides0(X2,X3)))|doDivides0(X1,X3))),inference(fof_nnf,[status(thm)],[17])).
% fof(109, plain,![X4]:![X5]:![X6]:(((~(aNaturalNumber0(X4))|~(aNaturalNumber0(X5)))|~(aNaturalNumber0(X6)))|((~(doDivides0(X4,X5))|~(doDivides0(X5,X6)))|doDivides0(X4,X6))),inference(variable_rename,[status(thm)],[108])).
% cnf(110,plain,(doDivides0(X1,X2)|~doDivides0(X3,X2)|~doDivides0(X1,X3)|~aNaturalNumber0(X2)|~aNaturalNumber0(X3)|~aNaturalNumber0(X1)),inference(split_conjunct,[status(thm)],[109])).
% cnf(111,plain,(aNaturalNumber0(xn)),inference(split_conjunct,[status(thm)],[18])).
% cnf(112,plain,(aNaturalNumber0(xm)),inference(split_conjunct,[status(thm)],[18])).
% cnf(113,plain,(aNaturalNumber0(xl)),inference(split_conjunct,[status(thm)],[18])).
% fof(114, plain,(((?[X2]:(aNaturalNumber0(X2)&xm=sdtasdt0(xl,X2))&doDivides0(xl,xm))&?[X3]:(aNaturalNumber0(X3)&xn=sdtasdt0(xl,X3)))&doDivides0(xl,xn)),inference(variable_rename,[status(thm)],[19])).
% fof(115, plain,((((aNaturalNumber0(esk2_0)&xm=sdtasdt0(xl,esk2_0))&doDivides0(xl,xm))&(aNaturalNumber0(esk3_0)&xn=sdtasdt0(xl,esk3_0)))&doDivides0(xl,xn)),inference(skolemize,[status(esa)],[114])).
% cnf(116,plain,(doDivides0(xl,xn)),inference(split_conjunct,[status(thm)],[115])).
% cnf(117,plain,(xn=sdtasdt0(xl,esk3_0)),inference(split_conjunct,[status(thm)],[115])).
% cnf(118,plain,(aNaturalNumber0(esk3_0)),inference(split_conjunct,[status(thm)],[115])).
% cnf(120,plain,(xm=sdtasdt0(xl,esk2_0)),inference(split_conjunct,[status(thm)],[115])).
% cnf(121,plain,(aNaturalNumber0(esk2_0)),inference(split_conjunct,[status(thm)],[115])).
% fof(122, plain,(xl=sz00|((((aNaturalNumber0(sdtsldt0(xm,xl))&xm=sdtasdt0(xl,sdtsldt0(xm,xl)))&aNaturalNumber0(sdtsldt0(xn,xl)))&xn=sdtasdt0(xl,sdtsldt0(xn,xl)))&sdtpldt0(xm,xn)=sdtasdt0(xl,sdtpldt0(sdtsldt0(xm,xl),sdtsldt0(xn,xl))))),inference(fof_nnf,[status(thm)],[20])).
% fof(123, plain,(((((aNaturalNumber0(sdtsldt0(xm,xl))|xl=sz00)&(xm=sdtasdt0(xl,sdtsldt0(xm,xl))|xl=sz00))&(aNaturalNumber0(sdtsldt0(xn,xl))|xl=sz00))&(xn=sdtasdt0(xl,sdtsldt0(xn,xl))|xl=sz00))&(sdtpldt0(xm,xn)=sdtasdt0(xl,sdtpldt0(sdtsldt0(xm,xl),sdtsldt0(xn,xl)))|xl=sz00)),inference(distribute,[status(thm)],[122])).
% cnf(124,plain,(xl=sz00|sdtpldt0(xm,xn)=sdtasdt0(xl,sdtpldt0(sdtsldt0(xm,xl),sdtsldt0(xn,xl)))),inference(split_conjunct,[status(thm)],[123])).
% cnf(125,plain,(xl=sz00|xn=sdtasdt0(xl,sdtsldt0(xn,xl))),inference(split_conjunct,[status(thm)],[123])).
% cnf(126,plain,(xl=sz00|aNaturalNumber0(sdtsldt0(xn,xl))),inference(split_conjunct,[status(thm)],[123])).
% cnf(127,plain,(xl=sz00|xm=sdtasdt0(xl,sdtsldt0(xm,xl))),inference(split_conjunct,[status(thm)],[123])).
% cnf(128,plain,(xl=sz00|aNaturalNumber0(sdtsldt0(xm,xl))),inference(split_conjunct,[status(thm)],[123])).
% fof(195, negated_conjecture,(![X1]:(~(aNaturalNumber0(X1))|~(sdtpldt0(xm,xn)=sdtasdt0(xl,X1)))&~(doDivides0(xl,sdtpldt0(xm,xn)))),inference(fof_nnf,[status(thm)],[37])).
% fof(196, negated_conjecture,(![X2]:(~(aNaturalNumber0(X2))|~(sdtpldt0(xm,xn)=sdtasdt0(xl,X2)))&~(doDivides0(xl,sdtpldt0(xm,xn)))),inference(variable_rename,[status(thm)],[195])).
% fof(197, negated_conjecture,![X2]:((~(aNaturalNumber0(X2))|~(sdtpldt0(xm,xn)=sdtasdt0(xl,X2)))&~(doDivides0(xl,sdtpldt0(xm,xn)))),inference(shift_quantors,[status(thm)],[196])).
% cnf(198,negated_conjecture,(~doDivides0(xl,sdtpldt0(xm,xn))),inference(split_conjunct,[status(thm)],[197])).
% cnf(364,plain,(doDivides0(X1,sdtasdt0(X1,X2))|~aNaturalNumber0(X2)|~aNaturalNumber0(X1)|~aNaturalNumber0(sdtasdt0(X1,X2))),inference(er,[status(thm)],[100,theory(equality)])).
% cnf(367,plain,(doDivides0(xl,X1)|xm!=X1|~aNaturalNumber0(esk2_0)|~aNaturalNumber0(xl)|~aNaturalNumber0(X1)),inference(spm,[status(thm)],[100,120,theory(equality)])).
% cnf(372,plain,(doDivides0(X1,X2)|sz00!=X2|~aNaturalNumber0(sz00)|~aNaturalNumber0(X1)|~aNaturalNumber0(X2)),inference(spm,[status(thm)],[100,68,theory(equality)])).
% cnf(381,plain,(doDivides0(xl,X1)|xm!=X1|$false|~aNaturalNumber0(xl)|~aNaturalNumber0(X1)),inference(rw,[status(thm)],[367,121,theory(equality)])).
% cnf(382,plain,(doDivides0(xl,X1)|xm!=X1|$false|$false|~aNaturalNumber0(X1)),inference(rw,[status(thm)],[381,113,theory(equality)])).
% cnf(383,plain,(doDivides0(xl,X1)|xm!=X1|~aNaturalNumber0(X1)),inference(cn,[status(thm)],[382,theory(equality)])).
% cnf(393,plain,(doDivides0(X1,X2)|sz00!=X2|$false|~aNaturalNumber0(X1)|~aNaturalNumber0(X2)),inference(rw,[status(thm)],[372,40,theory(equality)])).
% cnf(394,plain,(doDivides0(X1,X2)|sz00!=X2|~aNaturalNumber0(X1)|~aNaturalNumber0(X2)),inference(cn,[status(thm)],[393,theory(equality)])).
% cnf(431,plain,(X1=sz00|~aNaturalNumber0(esk1_2(sz00,X1))|~doDivides0(sz00,X1)|~aNaturalNumber0(sz00)|~aNaturalNumber0(X1)),inference(spm,[status(thm)],[67,98,theory(equality)])).
% cnf(440,plain,(X1=sz00|~aNaturalNumber0(esk1_2(sz00,X1))|~doDivides0(sz00,X1)|$false|~aNaturalNumber0(X1)),inference(rw,[status(thm)],[431,40,theory(equality)])).
% cnf(441,plain,(X1=sz00|~aNaturalNumber0(esk1_2(sz00,X1))|~doDivides0(sz00,X1)|~aNaturalNumber0(X1)),inference(cn,[status(thm)],[440,theory(equality)])).
% cnf(633,plain,(sz00=xl|X1=esk3_0|sdtasdt0(xl,X1)!=xn|~aNaturalNumber0(esk3_0)|~aNaturalNumber0(X1)|~aNaturalNumber0(xl)),inference(spm,[status(thm)],[84,117,theory(equality)])).
% cnf(634,plain,(sz00=xl|X1=esk2_0|sdtasdt0(xl,X1)!=xm|~aNaturalNumber0(esk2_0)|~aNaturalNumber0(X1)|~aNaturalNumber0(xl)),inference(spm,[status(thm)],[84,120,theory(equality)])).
% cnf(659,plain,(sz00=xl|X1=esk3_0|sdtasdt0(xl,X1)!=xn|$false|~aNaturalNumber0(X1)|~aNaturalNumber0(xl)),inference(rw,[status(thm)],[633,118,theory(equality)])).
% cnf(660,plain,(sz00=xl|X1=esk3_0|sdtasdt0(xl,X1)!=xn|$false|~aNaturalNumber0(X1)|$false),inference(rw,[status(thm)],[659,113,theory(equality)])).
% cnf(661,plain,(sz00=xl|X1=esk3_0|sdtasdt0(xl,X1)!=xn|~aNaturalNumber0(X1)),inference(cn,[status(thm)],[660,theory(equality)])).
% cnf(662,plain,(sz00=xl|X1=esk2_0|sdtasdt0(xl,X1)!=xm|$false|~aNaturalNumber0(X1)|~aNaturalNumber0(xl)),inference(rw,[status(thm)],[634,121,theory(equality)])).
% cnf(663,plain,(sz00=xl|X1=esk2_0|sdtasdt0(xl,X1)!=xm|$false|~aNaturalNumber0(X1)|$false),inference(rw,[status(thm)],[662,113,theory(equality)])).
% cnf(664,plain,(sz00=xl|X1=esk2_0|sdtasdt0(xl,X1)!=xm|~aNaturalNumber0(X1)),inference(cn,[status(thm)],[663,theory(equality)])).
% cnf(851,plain,(doDivides0(X1,xn)|~doDivides0(X1,xl)|~aNaturalNumber0(xl)|~aNaturalNumber0(xn)|~aNaturalNumber0(X1)),inference(spm,[status(thm)],[110,116,theory(equality)])).
% cnf(853,plain,(doDivides0(X1,xn)|~doDivides0(X1,xl)|$false|~aNaturalNumber0(xn)|~aNaturalNumber0(X1)),inference(rw,[status(thm)],[851,113,theory(equality)])).
% cnf(854,plain,(doDivides0(X1,xn)|~doDivides0(X1,xl)|$false|$false|~aNaturalNumber0(X1)),inference(rw,[status(thm)],[853,111,theory(equality)])).
% cnf(855,plain,(doDivides0(X1,xn)|~doDivides0(X1,xl)|~aNaturalNumber0(X1)),inference(cn,[status(thm)],[854,theory(equality)])).
% cnf(1098,negated_conjecture,(xm!=sdtpldt0(xm,xn)|~aNaturalNumber0(sdtpldt0(xm,xn))),inference(spm,[status(thm)],[198,383,theory(equality)])).
% cnf(1106,negated_conjecture,(sdtpldt0(xm,xn)!=xm|~aNaturalNumber0(xn)|~aNaturalNumber0(xm)),inference(spm,[status(thm)],[1098,43,theory(equality)])).
% cnf(1107,negated_conjecture,(sdtpldt0(xm,xn)!=xm|$false|~aNaturalNumber0(xm)),inference(rw,[status(thm)],[1106,111,theory(equality)])).
% cnf(1108,negated_conjecture,(sdtpldt0(xm,xn)!=xm|$false|$false),inference(rw,[status(thm)],[1107,112,theory(equality)])).
% cnf(1109,negated_conjecture,(sdtpldt0(xm,xn)!=xm),inference(cn,[status(thm)],[1108,theory(equality)])).
% cnf(2761,plain,(doDivides0(X1,sdtasdt0(X1,X2))|~aNaturalNumber0(X2)|~aNaturalNumber0(X1)),inference(csr,[status(thm)],[364,46])).
% cnf(4796,plain,(X1=sz00|~doDivides0(sz00,X1)|~aNaturalNumber0(X1)|~aNaturalNumber0(sz00)),inference(spm,[status(thm)],[441,99,theory(equality)])).
% cnf(4797,plain,(X1=sz00|~doDivides0(sz00,X1)|~aNaturalNumber0(X1)|$false),inference(rw,[status(thm)],[4796,40,theory(equality)])).
% cnf(4798,plain,(X1=sz00|~doDivides0(sz00,X1)|~aNaturalNumber0(X1)),inference(cn,[status(thm)],[4797,theory(equality)])).
% cnf(5422,plain,(xn=sz00|~aNaturalNumber0(xn)|~doDivides0(sz00,xl)|~aNaturalNumber0(sz00)),inference(spm,[status(thm)],[4798,855,theory(equality)])).
% cnf(5435,plain,(xn=sz00|$false|~doDivides0(sz00,xl)|~aNaturalNumber0(sz00)),inference(rw,[status(thm)],[5422,111,theory(equality)])).
% cnf(5436,plain,(xn=sz00|$false|~doDivides0(sz00,xl)|$false),inference(rw,[status(thm)],[5435,40,theory(equality)])).
% cnf(5437,plain,(xn=sz00|~doDivides0(sz00,xl)),inference(cn,[status(thm)],[5436,theory(equality)])).
% cnf(5498,plain,(xn=sz00|sz00!=xl|~aNaturalNumber0(sz00)|~aNaturalNumber0(xl)),inference(spm,[status(thm)],[5437,394,theory(equality)])).
% cnf(5500,plain,(xn=sz00|sz00!=xl|$false|~aNaturalNumber0(xl)),inference(rw,[status(thm)],[5498,40,theory(equality)])).
% cnf(5501,plain,(xn=sz00|sz00!=xl|$false|$false),inference(rw,[status(thm)],[5500,113,theory(equality)])).
% cnf(5502,plain,(xn=sz00|sz00!=xl),inference(cn,[status(thm)],[5501,theory(equality)])).
% cnf(5535,negated_conjecture,(sdtpldt0(xm,sz00)!=xm|xl!=sz00),inference(spm,[status(thm)],[1109,5502,theory(equality)])).
% cnf(5666,negated_conjecture,(xl!=sz00|~aNaturalNumber0(xm)),inference(spm,[status(thm)],[5535,57,theory(equality)])).
% cnf(5673,negated_conjecture,(xl!=sz00|$false),inference(rw,[status(thm)],[5666,112,theory(equality)])).
% cnf(5674,negated_conjecture,(xl!=sz00),inference(cn,[status(thm)],[5673,theory(equality)])).
% cnf(5761,plain,(aNaturalNumber0(sdtsldt0(xm,xl))),inference(sr,[status(thm)],[128,5674,theory(equality)])).
% cnf(5762,plain,(aNaturalNumber0(sdtsldt0(xn,xl))),inference(sr,[status(thm)],[126,5674,theory(equality)])).
% cnf(5763,plain,(sdtasdt0(xl,sdtsldt0(xm,xl))=xm),inference(sr,[status(thm)],[127,5674,theory(equality)])).
% cnf(5764,plain,(sdtasdt0(xl,sdtsldt0(xn,xl))=xn),inference(sr,[status(thm)],[125,5674,theory(equality)])).
% cnf(5765,plain,(sdtasdt0(xl,sdtpldt0(sdtsldt0(xm,xl),sdtsldt0(xn,xl)))=sdtpldt0(xm,xn)),inference(sr,[status(thm)],[124,5674,theory(equality)])).
% cnf(5893,plain,(xl=sz00|sdtsldt0(xm,xl)=esk2_0|~aNaturalNumber0(sdtsldt0(xm,xl))),inference(spm,[status(thm)],[664,5763,theory(equality)])).
% cnf(5998,plain,(xl=sz00|sdtsldt0(xm,xl)=esk2_0|$false),inference(rw,[status(thm)],[5893,5761,theory(equality)])).
% cnf(5999,plain,(xl=sz00|sdtsldt0(xm,xl)=esk2_0),inference(cn,[status(thm)],[5998,theory(equality)])).
% cnf(6000,plain,(sdtsldt0(xm,xl)=esk2_0),inference(sr,[status(thm)],[5999,5674,theory(equality)])).
% cnf(6120,plain,(xl=sz00|sdtsldt0(xn,xl)=esk3_0|~aNaturalNumber0(sdtsldt0(xn,xl))),inference(spm,[status(thm)],[661,5764,theory(equality)])).
% cnf(6223,plain,(xl=sz00|sdtsldt0(xn,xl)=esk3_0|$false),inference(rw,[status(thm)],[6120,5762,theory(equality)])).
% cnf(6224,plain,(xl=sz00|sdtsldt0(xn,xl)=esk3_0),inference(cn,[status(thm)],[6223,theory(equality)])).
% cnf(6225,plain,(sdtsldt0(xn,xl)=esk3_0),inference(sr,[status(thm)],[6224,5674,theory(equality)])).
% cnf(6286,plain,(sdtasdt0(xl,sdtpldt0(esk2_0,esk3_0))=sdtpldt0(xm,xn)),inference(rw,[status(thm)],[inference(rw,[status(thm)],[5765,6000,theory(equality)]),6225,theory(equality)])).
% cnf(6299,plain,(doDivides0(xl,sdtpldt0(xm,xn))|~aNaturalNumber0(sdtpldt0(esk2_0,esk3_0))|~aNaturalNumber0(xl)),inference(spm,[status(thm)],[2761,6286,theory(equality)])).
% cnf(6358,plain,(doDivides0(xl,sdtpldt0(xm,xn))|~aNaturalNumber0(sdtpldt0(esk2_0,esk3_0))|$false),inference(rw,[status(thm)],[6299,113,theory(equality)])).
% cnf(6359,plain,(doDivides0(xl,sdtpldt0(xm,xn))|~aNaturalNumber0(sdtpldt0(esk2_0,esk3_0))),inference(cn,[status(thm)],[6358,theory(equality)])).
% cnf(6360,plain,(~aNaturalNumber0(sdtpldt0(esk2_0,esk3_0))),inference(sr,[status(thm)],[6359,198,theory(equality)])).
% cnf(6657,plain,(~aNaturalNumber0(esk3_0)|~aNaturalNumber0(esk2_0)),inference(spm,[status(thm)],[6360,43,theory(equality)])).
% cnf(6666,plain,($false|~aNaturalNumber0(esk2_0)),inference(rw,[status(thm)],[6657,118,theory(equality)])).
% cnf(6667,plain,($false|$false),inference(rw,[status(thm)],[6666,121,theory(equality)])).
% cnf(6668,plain,($false),inference(cn,[status(thm)],[6667,theory(equality)])).
% cnf(6669,plain,($false),6668,['proof']).
% # SZS output end CNFRefutation
% # Processed clauses                  : 741
% # ...of these trivial                : 38
% # ...subsumed                        : 314
% # ...remaining for further processing: 389
% # Other redundant clauses eliminated : 22
% # Clauses deleted for lack of memory : 0
% # Backward-subsumed                  : 13
% # Backward-rewritten                 : 12
% # Generated clauses                  : 2662
% # ...of the previous two non-trivial : 2358
% # Contextual simplify-reflections    : 113
% # Paramodulations                    : 2607
% # Factorizations                     : 0
% # Equation resolutions               : 41
% # Current number of processed clauses: 285
% #    Positive orientable unit clauses: 32
% #    Positive unorientable unit clauses: 0
% #    Negative unit clauses           : 13
% #    Non-unit-clauses                : 240
% # Current number of unprocessed clauses: 1404
% # ...number of literals in the above : 6770
% # Clause-clause subsumption calls (NU) : 3417
% # Rec. Clause-clause subsumption calls : 1634
% # Unit Clause-clause subsumption calls : 213
% # Rewrite failures with RHS unbound  : 0
% # Indexed BW rewrite attempts        : 10
% # Indexed BW rewrite successes       : 10
% # Backwards rewriting index:   219 leaves,   1.21+/-0.735 terms/leaf
% # Paramod-from index:          107 leaves,   1.08+/-0.278 terms/leaf
% # Paramod-into index:          155 leaves,   1.21+/-0.718 terms/leaf
% # -------------------------------------------------
% # User time              : 0.139 s
% # System time            : 0.011 s
% # Total time             : 0.150 s
% # Maximum resident set size: 0 pages
% PrfWatch: 0.34 CPU 0.42 WC
% FINAL PrfWatch: 0.34 CPU 0.42 WC
% SZS output end Solution for /tmp/SystemOnTPTP22259/NUM469+2.tptp
% 
%------------------------------------------------------------------------------