TSTP Solution File: NUM524+1 by SRASS---0.1
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- Process Solution
%------------------------------------------------------------------------------
% File : SRASS---0.1
% Problem : NUM524+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 : art11.cs.miami.edu
% Model : i686 i686
% CPU : Intel(R) Pentium(R) 4 CPU 3.00GHz @ 3000MHz
% Memory : 2006MB
% OS : Linux 2.6.31.5-127.fc12.i686.PAE
% CPULimit : 300s
% DateTime : Wed Dec 29 19:58:24 EST 2010
% Result : Theorem 7.75s
% Output : Solution 7.75s
% 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/SystemOnTPTP5413/NUM524+1.tptp
% Adding relevance values
% Extracting the conjecture
% Sorting axioms by relevance
% Looking for THM ...
% found
% SZS status THM for /tmp/SystemOnTPTP5413/NUM524+1.tptp
% SZS output start Solution for /tmp/SystemOnTPTP5413/NUM524+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 5545
% TreeLimitedRun: ----------------------------------------------------------
% PrfWatch: 0.00 CPU 0.01 WC
% PrfWatch: 1.94 CPU 2.01 WC
% # Preprocessing time : 0.020 s
% # Problem is unsatisfiable (or provable), constructing proof object
% # SZS status Theorem
% PrfWatch: 3.93 CPU 4.02 WC
% PrfWatch: 5.93 CPU 6.02 WC
% # SZS output start CNFRefutation.
% 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(4, 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(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(8, axiom,![X1]:![X2]:((aNaturalNumber0(X1)&aNaturalNumber0(X2))=>(doDivides0(X1,X2)<=>?[X3]:(aNaturalNumber0(X3)&X2=sdtasdt0(X1,X3)))),file('/tmp/SRASS.s.p', mDefDiv)).
% fof(9, axiom,![X1]:![X2]:((aNaturalNumber0(X1)&aNaturalNumber0(X2))=>((~(X1=sz00)&doDivides0(X1,X2))=>![X3]:(X3=sdtsldt0(X2,X1)<=>(aNaturalNumber0(X3)&X2=sdtasdt0(X1,X3))))),file('/tmp/SRASS.s.p', mDefQuot)).
% fof(13, axiom,(((((aNaturalNumber0(xn)&aNaturalNumber0(xm))&aNaturalNumber0(xp))&~(xn=sz00))&~(xm=sz00))&~(xp=sz00)),file('/tmp/SRASS.s.p', m__2987)).
% fof(15, axiom,sdtasdt0(xp,sdtasdt0(xm,xm))=sdtasdt0(xn,xn),file('/tmp/SRASS.s.p', m__3014)).
% fof(17, axiom,(doDivides0(xp,sdtasdt0(xn,xn))&doDivides0(xp,xn)),file('/tmp/SRASS.s.p', m__3046)).
% fof(18, axiom,xq=sdtsldt0(xn,xp),file('/tmp/SRASS.s.p', m__3059)).
% fof(30, axiom,(aNaturalNumber0(sz10)&~(sz10=sz00)),file('/tmp/SRASS.s.p', mSortsC_01)).
% fof(31, axiom,![X1]:(aNaturalNumber0(X1)=>(sdtasdt0(X1,sz10)=X1&X1=sdtasdt0(sz10,X1))),file('/tmp/SRASS.s.p', m_MulUnit)).
% fof(46, conjecture,sdtasdt0(xm,xm)=sdtasdt0(xp,sdtasdt0(xq,xq)),file('/tmp/SRASS.s.p', m__)).
% fof(47, negated_conjecture,~(sdtasdt0(xm,xm)=sdtasdt0(xp,sdtasdt0(xq,xq))),inference(assume_negation,[status(cth)],[46])).
% fof(51, negated_conjecture,~(sdtasdt0(xm,xm)=sdtasdt0(xp,sdtasdt0(xq,xq))),inference(fof_simplification,[status(thm)],[47,theory(equality)])).
% fof(53, plain,![X1]:![X2]:((~(aNaturalNumber0(X1))|~(aNaturalNumber0(X2)))|aNaturalNumber0(sdtasdt0(X1,X2))),inference(fof_nnf,[status(thm)],[2])).
% fof(54, plain,![X3]:![X4]:((~(aNaturalNumber0(X3))|~(aNaturalNumber0(X4)))|aNaturalNumber0(sdtasdt0(X3,X4))),inference(variable_rename,[status(thm)],[53])).
% cnf(55,plain,(aNaturalNumber0(sdtasdt0(X1,X2))|~aNaturalNumber0(X2)|~aNaturalNumber0(X1)),inference(split_conjunct,[status(thm)],[54])).
% fof(56, plain,![X1]:![X2]:((~(aNaturalNumber0(X1))|~(aNaturalNumber0(X2)))|sdtasdt0(X1,X2)=sdtasdt0(X2,X1)),inference(fof_nnf,[status(thm)],[3])).
% fof(57, plain,![X3]:![X4]:((~(aNaturalNumber0(X3))|~(aNaturalNumber0(X4)))|sdtasdt0(X3,X4)=sdtasdt0(X4,X3)),inference(variable_rename,[status(thm)],[56])).
% cnf(58,plain,(sdtasdt0(X1,X2)=sdtasdt0(X2,X1)|~aNaturalNumber0(X2)|~aNaturalNumber0(X1)),inference(split_conjunct,[status(thm)],[57])).
% fof(59, 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)],[4])).
% fof(60, 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)],[59])).
% cnf(61,plain,(sdtasdt0(sdtasdt0(X1,X2),X3)=sdtasdt0(X1,sdtasdt0(X2,X3))|~aNaturalNumber0(X3)|~aNaturalNumber0(X2)|~aNaturalNumber0(X1)),inference(split_conjunct,[status(thm)],[60])).
% fof(67, 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(68, 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)],[67])).
% fof(69, 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)],[68])).
% fof(70, 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)],[69])).
% cnf(72,plain,(X1=sz00|X3=X2|~aNaturalNumber0(X1)|~aNaturalNumber0(X2)|~aNaturalNumber0(X3)|sdtasdt0(X1,X3)!=sdtasdt0(X1,X2)),inference(split_conjunct,[status(thm)],[70])).
% fof(76, 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)],[8])).
% fof(77, 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)],[76])).
% fof(78, 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)],[77])).
% fof(79, 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)],[78])).
% fof(80, 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)],[79])).
% cnf(81,plain,(X1=sdtasdt0(X2,esk1_2(X2,X1))|~aNaturalNumber0(X1)|~aNaturalNumber0(X2)|~doDivides0(X2,X1)),inference(split_conjunct,[status(thm)],[80])).
% cnf(82,plain,(aNaturalNumber0(esk1_2(X2,X1))|~aNaturalNumber0(X1)|~aNaturalNumber0(X2)|~doDivides0(X2,X1)),inference(split_conjunct,[status(thm)],[80])).
% fof(84, plain,![X1]:![X2]:((~(aNaturalNumber0(X1))|~(aNaturalNumber0(X2)))|((X1=sz00|~(doDivides0(X1,X2)))|![X3]:((~(X3=sdtsldt0(X2,X1))|(aNaturalNumber0(X3)&X2=sdtasdt0(X1,X3)))&((~(aNaturalNumber0(X3))|~(X2=sdtasdt0(X1,X3)))|X3=sdtsldt0(X2,X1))))),inference(fof_nnf,[status(thm)],[9])).
% fof(85, plain,![X4]:![X5]:((~(aNaturalNumber0(X4))|~(aNaturalNumber0(X5)))|((X4=sz00|~(doDivides0(X4,X5)))|![X6]:((~(X6=sdtsldt0(X5,X4))|(aNaturalNumber0(X6)&X5=sdtasdt0(X4,X6)))&((~(aNaturalNumber0(X6))|~(X5=sdtasdt0(X4,X6)))|X6=sdtsldt0(X5,X4))))),inference(variable_rename,[status(thm)],[84])).
% fof(86, plain,![X4]:![X5]:![X6]:((((~(X6=sdtsldt0(X5,X4))|(aNaturalNumber0(X6)&X5=sdtasdt0(X4,X6)))&((~(aNaturalNumber0(X6))|~(X5=sdtasdt0(X4,X6)))|X6=sdtsldt0(X5,X4)))|(X4=sz00|~(doDivides0(X4,X5))))|(~(aNaturalNumber0(X4))|~(aNaturalNumber0(X5)))),inference(shift_quantors,[status(thm)],[85])).
% fof(87, plain,![X4]:![X5]:![X6]:(((((aNaturalNumber0(X6)|~(X6=sdtsldt0(X5,X4)))|(X4=sz00|~(doDivides0(X4,X5))))|(~(aNaturalNumber0(X4))|~(aNaturalNumber0(X5))))&(((X5=sdtasdt0(X4,X6)|~(X6=sdtsldt0(X5,X4)))|(X4=sz00|~(doDivides0(X4,X5))))|(~(aNaturalNumber0(X4))|~(aNaturalNumber0(X5)))))&((((~(aNaturalNumber0(X6))|~(X5=sdtasdt0(X4,X6)))|X6=sdtsldt0(X5,X4))|(X4=sz00|~(doDivides0(X4,X5))))|(~(aNaturalNumber0(X4))|~(aNaturalNumber0(X5))))),inference(distribute,[status(thm)],[86])).
% cnf(89,plain,(X2=sz00|X1=sdtasdt0(X2,X3)|~aNaturalNumber0(X1)|~aNaturalNumber0(X2)|~doDivides0(X2,X1)|X3!=sdtsldt0(X1,X2)),inference(split_conjunct,[status(thm)],[87])).
% cnf(90,plain,(X2=sz00|aNaturalNumber0(X3)|~aNaturalNumber0(X1)|~aNaturalNumber0(X2)|~doDivides0(X2,X1)|X3!=sdtsldt0(X1,X2)),inference(split_conjunct,[status(thm)],[87])).
% cnf(101,plain,(xp!=sz00),inference(split_conjunct,[status(thm)],[13])).
% cnf(104,plain,(aNaturalNumber0(xp)),inference(split_conjunct,[status(thm)],[13])).
% cnf(105,plain,(aNaturalNumber0(xm)),inference(split_conjunct,[status(thm)],[13])).
% cnf(106,plain,(aNaturalNumber0(xn)),inference(split_conjunct,[status(thm)],[13])).
% cnf(110,plain,(sdtasdt0(xp,sdtasdt0(xm,xm))=sdtasdt0(xn,xn)),inference(split_conjunct,[status(thm)],[15])).
% cnf(112,plain,(doDivides0(xp,xn)),inference(split_conjunct,[status(thm)],[17])).
% cnf(113,plain,(doDivides0(xp,sdtasdt0(xn,xn))),inference(split_conjunct,[status(thm)],[17])).
% cnf(114,plain,(xq=sdtsldt0(xn,xp)),inference(split_conjunct,[status(thm)],[18])).
% cnf(172,plain,(aNaturalNumber0(sz10)),inference(split_conjunct,[status(thm)],[30])).
% fof(173, plain,![X1]:(~(aNaturalNumber0(X1))|(sdtasdt0(X1,sz10)=X1&X1=sdtasdt0(sz10,X1))),inference(fof_nnf,[status(thm)],[31])).
% fof(174, plain,![X2]:(~(aNaturalNumber0(X2))|(sdtasdt0(X2,sz10)=X2&X2=sdtasdt0(sz10,X2))),inference(variable_rename,[status(thm)],[173])).
% fof(175, plain,![X2]:((sdtasdt0(X2,sz10)=X2|~(aNaturalNumber0(X2)))&(X2=sdtasdt0(sz10,X2)|~(aNaturalNumber0(X2)))),inference(distribute,[status(thm)],[174])).
% cnf(176,plain,(X1=sdtasdt0(sz10,X1)|~aNaturalNumber0(X1)),inference(split_conjunct,[status(thm)],[175])).
% cnf(177,plain,(sdtasdt0(X1,sz10)=X1|~aNaturalNumber0(X1)),inference(split_conjunct,[status(thm)],[175])).
% cnf(238,negated_conjecture,(sdtasdt0(xm,xm)!=sdtasdt0(xp,sdtasdt0(xq,xq))),inference(split_conjunct,[status(thm)],[51])).
% cnf(296,plain,(aNaturalNumber0(sdtasdt0(xn,xn))|~aNaturalNumber0(sdtasdt0(xm,xm))|~aNaturalNumber0(xp)),inference(spm,[status(thm)],[55,110,theory(equality)])).
% cnf(304,plain,(aNaturalNumber0(sdtasdt0(xn,xn))|~aNaturalNumber0(sdtasdt0(xm,xm))|$false),inference(rw,[status(thm)],[296,104,theory(equality)])).
% cnf(305,plain,(aNaturalNumber0(sdtasdt0(xn,xn))|~aNaturalNumber0(sdtasdt0(xm,xm))),inference(cn,[status(thm)],[304,theory(equality)])).
% cnf(380,plain,(sdtasdt0(xp,esk1_2(xp,sdtasdt0(xn,xn)))=sdtasdt0(xn,xn)|~aNaturalNumber0(xp)|~aNaturalNumber0(sdtasdt0(xn,xn))),inference(spm,[status(thm)],[81,113,theory(equality)])).
% cnf(384,plain,(sdtasdt0(xp,esk1_2(xp,sdtasdt0(xn,xn)))=sdtasdt0(xn,xn)|$false|~aNaturalNumber0(sdtasdt0(xn,xn))),inference(rw,[status(thm)],[380,104,theory(equality)])).
% cnf(385,plain,(sdtasdt0(xp,esk1_2(xp,sdtasdt0(xn,xn)))=sdtasdt0(xn,xn)|~aNaturalNumber0(sdtasdt0(xn,xn))),inference(cn,[status(thm)],[384,theory(equality)])).
% cnf(389,plain,(aNaturalNumber0(esk1_2(xp,sdtasdt0(xn,xn)))|~aNaturalNumber0(xp)|~aNaturalNumber0(sdtasdt0(xn,xn))),inference(spm,[status(thm)],[82,113,theory(equality)])).
% cnf(393,plain,(aNaturalNumber0(esk1_2(xp,sdtasdt0(xn,xn)))|$false|~aNaturalNumber0(sdtasdt0(xn,xn))),inference(rw,[status(thm)],[389,104,theory(equality)])).
% cnf(394,plain,(aNaturalNumber0(esk1_2(xp,sdtasdt0(xn,xn)))|~aNaturalNumber0(sdtasdt0(xn,xn))),inference(cn,[status(thm)],[393,theory(equality)])).
% cnf(409,plain,(sdtasdt0(X1,sdtasdt0(X2,X3))=sdtasdt0(X2,sdtasdt0(X3,X1))|~aNaturalNumber0(sdtasdt0(X2,X3))|~aNaturalNumber0(X1)|~aNaturalNumber0(X3)|~aNaturalNumber0(X2)),inference(spm,[status(thm)],[58,61,theory(equality)])).
% cnf(632,plain,(sdtasdt0(xp,X1)=xn|sz00=xp|xq!=X1|~doDivides0(xp,xn)|~aNaturalNumber0(xp)|~aNaturalNumber0(xn)),inference(spm,[status(thm)],[89,114,theory(equality)])).
% cnf(633,plain,(sdtasdt0(xp,X1)=xn|sz00=xp|xq!=X1|$false|~aNaturalNumber0(xp)|~aNaturalNumber0(xn)),inference(rw,[status(thm)],[632,112,theory(equality)])).
% cnf(634,plain,(sdtasdt0(xp,X1)=xn|sz00=xp|xq!=X1|$false|$false|~aNaturalNumber0(xn)),inference(rw,[status(thm)],[633,104,theory(equality)])).
% cnf(635,plain,(sdtasdt0(xp,X1)=xn|sz00=xp|xq!=X1|$false|$false|$false),inference(rw,[status(thm)],[634,106,theory(equality)])).
% cnf(636,plain,(sdtasdt0(xp,X1)=xn|sz00=xp|xq!=X1),inference(cn,[status(thm)],[635,theory(equality)])).
% cnf(637,plain,(sdtasdt0(xp,X1)=xn|xq!=X1),inference(sr,[status(thm)],[636,101,theory(equality)])).
% cnf(649,plain,(sz00=xp|aNaturalNumber0(X1)|xq!=X1|~doDivides0(xp,xn)|~aNaturalNumber0(xp)|~aNaturalNumber0(xn)),inference(spm,[status(thm)],[90,114,theory(equality)])).
% cnf(650,plain,(sz00=xp|aNaturalNumber0(X1)|xq!=X1|$false|~aNaturalNumber0(xp)|~aNaturalNumber0(xn)),inference(rw,[status(thm)],[649,112,theory(equality)])).
% cnf(651,plain,(sz00=xp|aNaturalNumber0(X1)|xq!=X1|$false|$false|~aNaturalNumber0(xn)),inference(rw,[status(thm)],[650,104,theory(equality)])).
% cnf(652,plain,(sz00=xp|aNaturalNumber0(X1)|xq!=X1|$false|$false|$false),inference(rw,[status(thm)],[651,106,theory(equality)])).
% cnf(653,plain,(sz00=xp|aNaturalNumber0(X1)|xq!=X1),inference(cn,[status(thm)],[652,theory(equality)])).
% cnf(654,plain,(aNaturalNumber0(X1)|xq!=X1),inference(sr,[status(thm)],[653,101,theory(equality)])).
% cnf(953,plain,(aNaturalNumber0(xq)),inference(er,[status(thm)],[654,theory(equality)])).
% cnf(958,plain,(sdtasdt0(xp,xq)=xn),inference(er,[status(thm)],[637,theory(equality)])).
% cnf(964,plain,(sdtasdt0(xn,X1)=sdtasdt0(xp,sdtasdt0(xq,X1))|~aNaturalNumber0(X1)|~aNaturalNumber0(xq)|~aNaturalNumber0(xp)),inference(spm,[status(thm)],[61,958,theory(equality)])).
% cnf(993,plain,(sdtasdt0(xn,X1)=sdtasdt0(xp,sdtasdt0(xq,X1))|~aNaturalNumber0(X1)|$false|~aNaturalNumber0(xp)),inference(rw,[status(thm)],[964,953,theory(equality)])).
% cnf(994,plain,(sdtasdt0(xn,X1)=sdtasdt0(xp,sdtasdt0(xq,X1))|~aNaturalNumber0(X1)|$false|$false),inference(rw,[status(thm)],[993,104,theory(equality)])).
% cnf(995,plain,(sdtasdt0(xn,X1)=sdtasdt0(xp,sdtasdt0(xq,X1))|~aNaturalNumber0(X1)),inference(cn,[status(thm)],[994,theory(equality)])).
% cnf(1114,plain,(aNaturalNumber0(sdtasdt0(xn,xn))|~aNaturalNumber0(xm)),inference(spm,[status(thm)],[305,55,theory(equality)])).
% cnf(1119,plain,(aNaturalNumber0(sdtasdt0(xn,xn))|$false),inference(rw,[status(thm)],[1114,105,theory(equality)])).
% cnf(1120,plain,(aNaturalNumber0(sdtasdt0(xn,xn))),inference(cn,[status(thm)],[1119,theory(equality)])).
% cnf(1234,negated_conjecture,(sdtasdt0(xn,xq)!=sdtasdt0(xm,xm)|~aNaturalNumber0(xq)),inference(spm,[status(thm)],[238,995,theory(equality)])).
% cnf(1235,plain,(sdtasdt0(xp,xq)=sdtasdt0(xn,sz10)|~aNaturalNumber0(sz10)|~aNaturalNumber0(xq)),inference(spm,[status(thm)],[995,177,theory(equality)])).
% cnf(1237,plain,(sdtasdt0(xp,sdtasdt0(X1,xq))=sdtasdt0(xn,X1)|~aNaturalNumber0(X1)|~aNaturalNumber0(xq)),inference(spm,[status(thm)],[995,58,theory(equality)])).
% cnf(1273,negated_conjecture,(sdtasdt0(xn,xq)!=sdtasdt0(xm,xm)|$false),inference(rw,[status(thm)],[1234,953,theory(equality)])).
% cnf(1274,negated_conjecture,(sdtasdt0(xn,xq)!=sdtasdt0(xm,xm)),inference(cn,[status(thm)],[1273,theory(equality)])).
% cnf(1275,plain,(xn=sdtasdt0(xn,sz10)|~aNaturalNumber0(sz10)|~aNaturalNumber0(xq)),inference(rw,[status(thm)],[1235,958,theory(equality)])).
% cnf(1276,plain,(xn=sdtasdt0(xn,sz10)|$false|~aNaturalNumber0(xq)),inference(rw,[status(thm)],[1275,172,theory(equality)])).
% cnf(1277,plain,(xn=sdtasdt0(xn,sz10)|$false|$false),inference(rw,[status(thm)],[1276,953,theory(equality)])).
% cnf(1278,plain,(xn=sdtasdt0(xn,sz10)),inference(cn,[status(thm)],[1277,theory(equality)])).
% cnf(1282,plain,(sdtasdt0(xp,sdtasdt0(X1,xq))=sdtasdt0(xn,X1)|~aNaturalNumber0(X1)|$false),inference(rw,[status(thm)],[1237,953,theory(equality)])).
% cnf(1283,plain,(sdtasdt0(xp,sdtasdt0(X1,xq))=sdtasdt0(xn,X1)|~aNaturalNumber0(X1)),inference(cn,[status(thm)],[1282,theory(equality)])).
% cnf(3531,plain,(sdtasdt0(xp,esk1_2(xp,sdtasdt0(xn,xn)))=sdtasdt0(xn,xn)|$false),inference(rw,[status(thm)],[385,1120,theory(equality)])).
% cnf(3532,plain,(sdtasdt0(xp,esk1_2(xp,sdtasdt0(xn,xn)))=sdtasdt0(xn,xn)),inference(cn,[status(thm)],[3531,theory(equality)])).
% cnf(3537,plain,(sz00=xp|esk1_2(xp,sdtasdt0(xn,xn))=X1|sdtasdt0(xn,xn)!=sdtasdt0(xp,X1)|~aNaturalNumber0(X1)|~aNaturalNumber0(esk1_2(xp,sdtasdt0(xn,xn)))|~aNaturalNumber0(xp)),inference(spm,[status(thm)],[72,3532,theory(equality)])).
% cnf(3565,plain,(sz00=xp|esk1_2(xp,sdtasdt0(xn,xn))=X1|sdtasdt0(xn,xn)!=sdtasdt0(xp,X1)|~aNaturalNumber0(X1)|~aNaturalNumber0(esk1_2(xp,sdtasdt0(xn,xn)))|$false),inference(rw,[status(thm)],[3537,104,theory(equality)])).
% cnf(3566,plain,(sz00=xp|esk1_2(xp,sdtasdt0(xn,xn))=X1|sdtasdt0(xn,xn)!=sdtasdt0(xp,X1)|~aNaturalNumber0(X1)|~aNaturalNumber0(esk1_2(xp,sdtasdt0(xn,xn)))),inference(cn,[status(thm)],[3565,theory(equality)])).
% cnf(3567,plain,(esk1_2(xp,sdtasdt0(xn,xn))=X1|sdtasdt0(xp,X1)!=sdtasdt0(xn,xn)|~aNaturalNumber0(X1)|~aNaturalNumber0(esk1_2(xp,sdtasdt0(xn,xn)))),inference(sr,[status(thm)],[3566,101,theory(equality)])).
% cnf(3897,plain,(aNaturalNumber0(esk1_2(xp,sdtasdt0(xn,xn)))|$false),inference(rw,[status(thm)],[394,1120,theory(equality)])).
% cnf(3898,plain,(aNaturalNumber0(esk1_2(xp,sdtasdt0(xn,xn)))),inference(cn,[status(thm)],[3897,theory(equality)])).
% cnf(5535,plain,(sdtasdt0(X1,sdtasdt0(X2,X3))=sdtasdt0(X2,sdtasdt0(X3,X1))|~aNaturalNumber0(X1)|~aNaturalNumber0(X3)|~aNaturalNumber0(X2)),inference(csr,[status(thm)],[409,55])).
% cnf(5598,plain,(sdtasdt0(X1,sdtasdt0(xq,xp))=sdtasdt0(xn,X1)|~aNaturalNumber0(X1)|~aNaturalNumber0(xp)|~aNaturalNumber0(xq)),inference(spm,[status(thm)],[1283,5535,theory(equality)])).
% cnf(5681,plain,(sdtasdt0(X1,xn)=sdtasdt0(xp,sdtasdt0(xq,X1))|~aNaturalNumber0(X1)|~aNaturalNumber0(xq)|~aNaturalNumber0(xp)),inference(spm,[status(thm)],[5535,958,theory(equality)])).
% cnf(5804,plain,(sdtasdt0(X1,sdtasdt0(xq,xp))=sdtasdt0(xn,X1)|~aNaturalNumber0(X1)|$false|~aNaturalNumber0(xq)),inference(rw,[status(thm)],[5598,104,theory(equality)])).
% cnf(5805,plain,(sdtasdt0(X1,sdtasdt0(xq,xp))=sdtasdt0(xn,X1)|~aNaturalNumber0(X1)|$false|$false),inference(rw,[status(thm)],[5804,953,theory(equality)])).
% cnf(5806,plain,(sdtasdt0(X1,sdtasdt0(xq,xp))=sdtasdt0(xn,X1)|~aNaturalNumber0(X1)),inference(cn,[status(thm)],[5805,theory(equality)])).
% cnf(5934,plain,(sdtasdt0(X1,xn)=sdtasdt0(xp,sdtasdt0(xq,X1))|~aNaturalNumber0(X1)|$false|~aNaturalNumber0(xp)),inference(rw,[status(thm)],[5681,953,theory(equality)])).
% cnf(5935,plain,(sdtasdt0(X1,xn)=sdtasdt0(xp,sdtasdt0(xq,X1))|~aNaturalNumber0(X1)|$false|$false),inference(rw,[status(thm)],[5934,104,theory(equality)])).
% cnf(5936,plain,(sdtasdt0(X1,xn)=sdtasdt0(xp,sdtasdt0(xq,X1))|~aNaturalNumber0(X1)),inference(cn,[status(thm)],[5935,theory(equality)])).
% cnf(5993,plain,(sdtasdt0(xn,sz10)=sdtasdt0(xq,xp)|~aNaturalNumber0(sdtasdt0(xq,xp))|~aNaturalNumber0(sz10)),inference(spm,[status(thm)],[176,5806,theory(equality)])).
% cnf(6037,plain,(xn=sdtasdt0(xq,xp)|~aNaturalNumber0(sdtasdt0(xq,xp))|~aNaturalNumber0(sz10)),inference(rw,[status(thm)],[5993,1278,theory(equality)])).
% cnf(6038,plain,(xn=sdtasdt0(xq,xp)|~aNaturalNumber0(sdtasdt0(xq,xp))|$false),inference(rw,[status(thm)],[6037,172,theory(equality)])).
% cnf(6039,plain,(xn=sdtasdt0(xq,xp)|~aNaturalNumber0(sdtasdt0(xq,xp))),inference(cn,[status(thm)],[6038,theory(equality)])).
% cnf(6104,plain,(sdtasdt0(xq,xp)=xn|~aNaturalNumber0(xp)|~aNaturalNumber0(xq)),inference(spm,[status(thm)],[6039,55,theory(equality)])).
% cnf(6115,plain,(sdtasdt0(xq,xp)=xn|$false|~aNaturalNumber0(xq)),inference(rw,[status(thm)],[6104,104,theory(equality)])).
% cnf(6116,plain,(sdtasdt0(xq,xp)=xn|$false|$false),inference(rw,[status(thm)],[6115,953,theory(equality)])).
% cnf(6117,plain,(sdtasdt0(xq,xp)=xn),inference(cn,[status(thm)],[6116,theory(equality)])).
% cnf(6144,plain,(sdtasdt0(X1,xn)=sdtasdt0(xn,X1)|~aNaturalNumber0(X1)),inference(rw,[status(thm)],[5806,6117,theory(equality)])).
% cnf(6280,plain,(sdtasdt0(xp,sdtasdt0(xn,xq))=sdtasdt0(xn,xn)|~aNaturalNumber0(xn)|~aNaturalNumber0(xq)),inference(spm,[status(thm)],[995,6144,theory(equality)])).
% cnf(6434,plain,(sdtasdt0(xp,sdtasdt0(xn,xq))=sdtasdt0(xn,xn)|$false|~aNaturalNumber0(xq)),inference(rw,[status(thm)],[6280,106,theory(equality)])).
% cnf(6435,plain,(sdtasdt0(xp,sdtasdt0(xn,xq))=sdtasdt0(xn,xn)|$false|$false),inference(rw,[status(thm)],[6434,953,theory(equality)])).
% cnf(6436,plain,(sdtasdt0(xp,sdtasdt0(xn,xq))=sdtasdt0(xn,xn)),inference(cn,[status(thm)],[6435,theory(equality)])).
% cnf(12114,plain,(sdtasdt0(xq,xn)=sdtasdt0(xn,xq)|~aNaturalNumber0(xq)),inference(spm,[status(thm)],[1283,5936,theory(equality)])).
% cnf(12236,plain,(sdtasdt0(xq,xn)=sdtasdt0(xn,xq)|$false),inference(rw,[status(thm)],[12114,953,theory(equality)])).
% cnf(12237,plain,(sdtasdt0(xq,xn)=sdtasdt0(xn,xq)),inference(cn,[status(thm)],[12236,theory(equality)])).
% cnf(12297,plain,(aNaturalNumber0(sdtasdt0(xn,xq))|~aNaturalNumber0(xn)|~aNaturalNumber0(xq)),inference(spm,[status(thm)],[55,12237,theory(equality)])).
% cnf(12346,plain,(aNaturalNumber0(sdtasdt0(xn,xq))|$false|~aNaturalNumber0(xq)),inference(rw,[status(thm)],[12297,106,theory(equality)])).
% cnf(12347,plain,(aNaturalNumber0(sdtasdt0(xn,xq))|$false|$false),inference(rw,[status(thm)],[12346,953,theory(equality)])).
% cnf(12348,plain,(aNaturalNumber0(sdtasdt0(xn,xq))),inference(cn,[status(thm)],[12347,theory(equality)])).
% cnf(266597,plain,(esk1_2(xp,sdtasdt0(xn,xn))=X1|sdtasdt0(xp,X1)!=sdtasdt0(xn,xn)|~aNaturalNumber0(X1)|$false),inference(rw,[status(thm)],[3567,3898,theory(equality)])).
% cnf(266598,plain,(esk1_2(xp,sdtasdt0(xn,xn))=X1|sdtasdt0(xp,X1)!=sdtasdt0(xn,xn)|~aNaturalNumber0(X1)),inference(cn,[status(thm)],[266597,theory(equality)])).
% cnf(266636,plain,(esk1_2(xp,sdtasdt0(xn,xn))=sdtasdt0(xn,xq)|~aNaturalNumber0(sdtasdt0(xn,xq))),inference(spm,[status(thm)],[266598,6436,theory(equality)])).
% cnf(266720,plain,(esk1_2(xp,sdtasdt0(xn,xn))=sdtasdt0(xn,xq)|$false),inference(rw,[status(thm)],[266636,12348,theory(equality)])).
% cnf(266721,plain,(esk1_2(xp,sdtasdt0(xn,xn))=sdtasdt0(xn,xq)),inference(cn,[status(thm)],[266720,theory(equality)])).
% cnf(266738,plain,(sdtasdt0(xn,xq)=X1|sdtasdt0(xp,X1)!=sdtasdt0(xn,xn)|~aNaturalNumber0(X1)),inference(rw,[status(thm)],[266598,266721,theory(equality)])).
% cnf(267789,plain,(sdtasdt0(xn,xq)=sdtasdt0(xm,xm)|~aNaturalNumber0(sdtasdt0(xm,xm))),inference(spm,[status(thm)],[266738,110,theory(equality)])).
% cnf(267875,plain,(~aNaturalNumber0(sdtasdt0(xm,xm))),inference(sr,[status(thm)],[267789,1274,theory(equality)])).
% cnf(267985,plain,(~aNaturalNumber0(xm)),inference(spm,[status(thm)],[267875,55,theory(equality)])).
% cnf(267990,plain,($false),inference(rw,[status(thm)],[267985,105,theory(equality)])).
% cnf(267991,plain,($false),inference(cn,[status(thm)],[267990,theory(equality)])).
% cnf(267992,plain,($false),267991,['proof']).
% # SZS output end CNFRefutation
% # Processed clauses : 4519
% # ...of these trivial : 352
% # ...subsumed : 2017
% # ...remaining for further processing: 2150
% # Other redundant clauses eliminated : 61
% # Clauses deleted for lack of memory : 0
% # Backward-subsumed : 30
% # Backward-rewritten : 267
% # Generated clauses : 77699
% # ...of the previous two non-trivial : 66514
% # Contextual simplify-reflections : 408
% # Paramodulations : 77481
% # Factorizations : 4
% # Equation resolutions : 205
% # Current number of processed clauses: 1767
% # Positive orientable unit clauses: 863
% # Positive unorientable unit clauses: 0
% # Negative unit clauses : 46
% # Non-unit-clauses : 858
% # Current number of unprocessed clauses: 53725
% # ...number of literals in the above : 215028
% # Clause-clause subsumption calls (NU) : 16710
% # Rec. Clause-clause subsumption calls : 9107
% # Unit Clause-clause subsumption calls : 232
% # Rewrite failures with RHS unbound : 0
% # Indexed BW rewrite attempts : 993
% # Indexed BW rewrite successes : 108
% # Backwards rewriting index: 1385 leaves, 1.41+/-1.234 terms/leaf
% # Paramod-from index: 873 leaves, 1.42+/-1.204 terms/leaf
% # Paramod-into index: 1259 leaves, 1.40+/-1.211 terms/leaf
% # -------------------------------------------------
% # User time : 3.199 s
% # System time : 0.138 s
% # Total time : 3.336 s
% # Maximum resident set size: 0 pages
% PrfWatch: 6.64 CPU 6.76 WC
% FINAL PrfWatch: 6.64 CPU 6.76 WC
% SZS output end Solution for /tmp/SystemOnTPTP5413/NUM524+1.tptp
%
%------------------------------------------------------------------------------