TSTP Solution File: NUM501+3 by SRASS---0.1
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : SRASS---0.1
% Problem : NUM501+3 : TPTP v5.0.0. Released v4.0.0.
% Transfm : none
% Format : tptp
% Command : SRASS -q2 -a 0 10 10 10 -i3 -n60 %s
% Computer : art01.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 19:38:18 EST 2010
% Result : Theorem 8.81s
% Output : Solution 8.81s
% 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/SystemOnTPTP6440/NUM501+3.tptp
% Adding relevance values
% Extracting the conjecture
% Sorting axioms by relevance
% Looking for THM ...
% found
% SZS status THM for /tmp/SystemOnTPTP6440/NUM501+3.tptp
% SZS output start Solution for /tmp/SystemOnTPTP6440/NUM501+3.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 6536
% TreeLimitedRun: ----------------------------------------------------------
% PrfWatch: 0.00 CPU 0.02 WC
% PrfWatch: 1.93 CPU 2.03 WC
% PrfWatch: 3.91 CPU 4.04 WC
% # Preprocessing time : 0.033 s
% # Problem is unsatisfiable (or provable), constructing proof object
% # SZS status Theorem
% PrfWatch: 5.90 CPU 6.04 WC
% # SZS output start CNFRefutation.
% fof(2, axiom,(aNaturalNumber0(sz10)&~(sz10=sz00)),file('/tmp/SRASS.s.p', mSortsC_01)).
% fof(4, axiom,![X1]:![X2]:((aNaturalNumber0(X1)&aNaturalNumber0(X2))=>aNaturalNumber0(sdtasdt0(X1,X2))),file('/tmp/SRASS.s.p', mSortsB_02)).
% fof(8, axiom,![X1]:![X2]:((aNaturalNumber0(X1)&aNaturalNumber0(X2))=>sdtasdt0(X1,X2)=sdtasdt0(X2,X1)),file('/tmp/SRASS.s.p', mMulComm)).
% fof(9, 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(10, axiom,![X1]:(aNaturalNumber0(X1)=>(sdtasdt0(X1,sz10)=X1&X1=sdtasdt0(sz10,X1))),file('/tmp/SRASS.s.p', m_MulUnit)).
% fof(27, axiom,![X1]:![X2]:((aNaturalNumber0(X1)&aNaturalNumber0(X2))=>(doDivides0(X1,X2)<=>?[X3]:(aNaturalNumber0(X3)&X2=sdtasdt0(X1,X3)))),file('/tmp/SRASS.s.p', mDefDiv)).
% fof(28, 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(33, axiom,![X1]:![X2]:((aNaturalNumber0(X1)&aNaturalNumber0(X2))=>((~(X1=sz00)&doDivides0(X1,X2))=>![X3]:(aNaturalNumber0(X3)=>sdtasdt0(X3,sdtsldt0(X2,X1))=sdtsldt0(sdtasdt0(X3,X2),X1)))),file('/tmp/SRASS.s.p', mDivAsso)).
% fof(36, axiom,((aNaturalNumber0(xn)&aNaturalNumber0(xm))&aNaturalNumber0(xp)),file('/tmp/SRASS.s.p', m__1837)).
% fof(42, axiom,((aNaturalNumber0(xk)&sdtasdt0(xn,xm)=sdtasdt0(xp,xk))&xk=sdtsldt0(sdtasdt0(xn,xm),xp)),file('/tmp/SRASS.s.p', m__2306)).
% fof(45, axiom,((((((aNaturalNumber0(xr)&?[X1]:(aNaturalNumber0(X1)&xk=sdtasdt0(xr,X1)))&doDivides0(xr,xk))&~(xr=sz00))&~(xr=sz10))&![X1]:((aNaturalNumber0(X1)&(?[X2]:(aNaturalNumber0(X2)&xr=sdtasdt0(X1,X2))|doDivides0(X1,xr)))=>(X1=sz10|X1=xr)))&isPrime0(xr)),file('/tmp/SRASS.s.p', m__2342)).
% fof(49, conjecture,(?[X1]:(aNaturalNumber0(X1)&sdtasdt0(xn,xm)=sdtasdt0(xr,X1))|doDivides0(xr,sdtasdt0(xn,xm))),file('/tmp/SRASS.s.p', m__)).
% fof(50, negated_conjecture,~((?[X1]:(aNaturalNumber0(X1)&sdtasdt0(xn,xm)=sdtasdt0(xr,X1))|doDivides0(xr,sdtasdt0(xn,xm)))),inference(assume_negation,[status(cth)],[49])).
% cnf(55,plain,(aNaturalNumber0(sz10)),inference(split_conjunct,[status(thm)],[2])).
% fof(59, plain,![X1]:![X2]:((~(aNaturalNumber0(X1))|~(aNaturalNumber0(X2)))|aNaturalNumber0(sdtasdt0(X1,X2))),inference(fof_nnf,[status(thm)],[4])).
% fof(60, plain,![X3]:![X4]:((~(aNaturalNumber0(X3))|~(aNaturalNumber0(X4)))|aNaturalNumber0(sdtasdt0(X3,X4))),inference(variable_rename,[status(thm)],[59])).
% cnf(61,plain,(aNaturalNumber0(sdtasdt0(X1,X2))|~aNaturalNumber0(X2)|~aNaturalNumber0(X1)),inference(split_conjunct,[status(thm)],[60])).
% fof(73, plain,![X1]:![X2]:((~(aNaturalNumber0(X1))|~(aNaturalNumber0(X2)))|sdtasdt0(X1,X2)=sdtasdt0(X2,X1)),inference(fof_nnf,[status(thm)],[8])).
% fof(74, plain,![X3]:![X4]:((~(aNaturalNumber0(X3))|~(aNaturalNumber0(X4)))|sdtasdt0(X3,X4)=sdtasdt0(X4,X3)),inference(variable_rename,[status(thm)],[73])).
% cnf(75,plain,(sdtasdt0(X1,X2)=sdtasdt0(X2,X1)|~aNaturalNumber0(X2)|~aNaturalNumber0(X1)),inference(split_conjunct,[status(thm)],[74])).
% fof(76, 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)],[9])).
% fof(77, 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)],[76])).
% cnf(78,plain,(sdtasdt0(sdtasdt0(X1,X2),X3)=sdtasdt0(X1,sdtasdt0(X2,X3))|~aNaturalNumber0(X3)|~aNaturalNumber0(X2)|~aNaturalNumber0(X1)),inference(split_conjunct,[status(thm)],[77])).
% fof(79, plain,![X1]:(~(aNaturalNumber0(X1))|(sdtasdt0(X1,sz10)=X1&X1=sdtasdt0(sz10,X1))),inference(fof_nnf,[status(thm)],[10])).
% fof(80, plain,![X2]:(~(aNaturalNumber0(X2))|(sdtasdt0(X2,sz10)=X2&X2=sdtasdt0(sz10,X2))),inference(variable_rename,[status(thm)],[79])).
% fof(81, plain,![X2]:((sdtasdt0(X2,sz10)=X2|~(aNaturalNumber0(X2)))&(X2=sdtasdt0(sz10,X2)|~(aNaturalNumber0(X2)))),inference(distribute,[status(thm)],[80])).
% cnf(82,plain,(X1=sdtasdt0(sz10,X1)|~aNaturalNumber0(X1)),inference(split_conjunct,[status(thm)],[81])).
% fof(161, 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)],[27])).
% fof(162, 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)],[161])).
% fof(163, plain,![X4]:![X5]:((~(aNaturalNumber0(X4))|~(aNaturalNumber0(X5)))|((~(doDivides0(X4,X5))|(aNaturalNumber0(esk2_2(X4,X5))&X5=sdtasdt0(X4,esk2_2(X4,X5))))&(![X7]:(~(aNaturalNumber0(X7))|~(X5=sdtasdt0(X4,X7)))|doDivides0(X4,X5)))),inference(skolemize,[status(esa)],[162])).
% fof(164, plain,![X4]:![X5]:![X7]:((((~(aNaturalNumber0(X7))|~(X5=sdtasdt0(X4,X7)))|doDivides0(X4,X5))&(~(doDivides0(X4,X5))|(aNaturalNumber0(esk2_2(X4,X5))&X5=sdtasdt0(X4,esk2_2(X4,X5)))))|(~(aNaturalNumber0(X4))|~(aNaturalNumber0(X5)))),inference(shift_quantors,[status(thm)],[163])).
% fof(165, plain,![X4]:![X5]:![X7]:((((~(aNaturalNumber0(X7))|~(X5=sdtasdt0(X4,X7)))|doDivides0(X4,X5))|(~(aNaturalNumber0(X4))|~(aNaturalNumber0(X5))))&(((aNaturalNumber0(esk2_2(X4,X5))|~(doDivides0(X4,X5)))|(~(aNaturalNumber0(X4))|~(aNaturalNumber0(X5))))&((X5=sdtasdt0(X4,esk2_2(X4,X5))|~(doDivides0(X4,X5)))|(~(aNaturalNumber0(X4))|~(aNaturalNumber0(X5)))))),inference(distribute,[status(thm)],[164])).
% cnf(168,plain,(doDivides0(X2,X1)|~aNaturalNumber0(X1)|~aNaturalNumber0(X2)|X1!=sdtasdt0(X2,X3)|~aNaturalNumber0(X3)),inference(split_conjunct,[status(thm)],[165])).
% fof(169, 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)],[28])).
% fof(170, 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)],[169])).
% fof(171, 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)],[170])).
% fof(172, 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)],[171])).
% cnf(173,plain,(X2=sz00|X3=sdtsldt0(X1,X2)|~aNaturalNumber0(X1)|~aNaturalNumber0(X2)|~doDivides0(X2,X1)|X1!=sdtasdt0(X2,X3)|~aNaturalNumber0(X3)),inference(split_conjunct,[status(thm)],[172])).
% fof(188, plain,![X1]:![X2]:((~(aNaturalNumber0(X1))|~(aNaturalNumber0(X2)))|((X1=sz00|~(doDivides0(X1,X2)))|![X3]:(~(aNaturalNumber0(X3))|sdtasdt0(X3,sdtsldt0(X2,X1))=sdtsldt0(sdtasdt0(X3,X2),X1)))),inference(fof_nnf,[status(thm)],[33])).
% fof(189, plain,![X4]:![X5]:((~(aNaturalNumber0(X4))|~(aNaturalNumber0(X5)))|((X4=sz00|~(doDivides0(X4,X5)))|![X6]:(~(aNaturalNumber0(X6))|sdtasdt0(X6,sdtsldt0(X5,X4))=sdtsldt0(sdtasdt0(X6,X5),X4)))),inference(variable_rename,[status(thm)],[188])).
% fof(190, plain,![X4]:![X5]:![X6]:(((~(aNaturalNumber0(X6))|sdtasdt0(X6,sdtsldt0(X5,X4))=sdtsldt0(sdtasdt0(X6,X5),X4))|(X4=sz00|~(doDivides0(X4,X5))))|(~(aNaturalNumber0(X4))|~(aNaturalNumber0(X5)))),inference(shift_quantors,[status(thm)],[189])).
% cnf(191,plain,(X2=sz00|sdtasdt0(X3,sdtsldt0(X1,X2))=sdtsldt0(sdtasdt0(X3,X1),X2)|~aNaturalNumber0(X1)|~aNaturalNumber0(X2)|~doDivides0(X2,X1)|~aNaturalNumber0(X3)),inference(split_conjunct,[status(thm)],[190])).
% cnf(211,plain,(aNaturalNumber0(xp)),inference(split_conjunct,[status(thm)],[36])).
% cnf(379,plain,(sdtasdt0(xn,xm)=sdtasdt0(xp,xk)),inference(split_conjunct,[status(thm)],[42])).
% cnf(380,plain,(aNaturalNumber0(xk)),inference(split_conjunct,[status(thm)],[42])).
% fof(386, plain,((((((aNaturalNumber0(xr)&?[X1]:(aNaturalNumber0(X1)&xk=sdtasdt0(xr,X1)))&doDivides0(xr,xk))&~(xr=sz00))&~(xr=sz10))&![X1]:((~(aNaturalNumber0(X1))|(![X2]:(~(aNaturalNumber0(X2))|~(xr=sdtasdt0(X1,X2)))&~(doDivides0(X1,xr))))|(X1=sz10|X1=xr)))&isPrime0(xr)),inference(fof_nnf,[status(thm)],[45])).
% fof(387, plain,((((((aNaturalNumber0(xr)&?[X3]:(aNaturalNumber0(X3)&xk=sdtasdt0(xr,X3)))&doDivides0(xr,xk))&~(xr=sz00))&~(xr=sz10))&![X4]:((~(aNaturalNumber0(X4))|(![X5]:(~(aNaturalNumber0(X5))|~(xr=sdtasdt0(X4,X5)))&~(doDivides0(X4,xr))))|(X4=sz10|X4=xr)))&isPrime0(xr)),inference(variable_rename,[status(thm)],[386])).
% fof(388, plain,((((((aNaturalNumber0(xr)&(aNaturalNumber0(esk12_0)&xk=sdtasdt0(xr,esk12_0)))&doDivides0(xr,xk))&~(xr=sz00))&~(xr=sz10))&![X4]:((~(aNaturalNumber0(X4))|(![X5]:(~(aNaturalNumber0(X5))|~(xr=sdtasdt0(X4,X5)))&~(doDivides0(X4,xr))))|(X4=sz10|X4=xr)))&isPrime0(xr)),inference(skolemize,[status(esa)],[387])).
% fof(389, plain,![X4]:![X5]:((((((~(aNaturalNumber0(X5))|~(xr=sdtasdt0(X4,X5)))&~(doDivides0(X4,xr)))|~(aNaturalNumber0(X4)))|(X4=sz10|X4=xr))&((((aNaturalNumber0(xr)&(aNaturalNumber0(esk12_0)&xk=sdtasdt0(xr,esk12_0)))&doDivides0(xr,xk))&~(xr=sz00))&~(xr=sz10)))&isPrime0(xr)),inference(shift_quantors,[status(thm)],[388])).
% fof(390, plain,![X4]:![X5]:((((((~(aNaturalNumber0(X5))|~(xr=sdtasdt0(X4,X5)))|~(aNaturalNumber0(X4)))|(X4=sz10|X4=xr))&((~(doDivides0(X4,xr))|~(aNaturalNumber0(X4)))|(X4=sz10|X4=xr)))&((((aNaturalNumber0(xr)&(aNaturalNumber0(esk12_0)&xk=sdtasdt0(xr,esk12_0)))&doDivides0(xr,xk))&~(xr=sz00))&~(xr=sz10)))&isPrime0(xr)),inference(distribute,[status(thm)],[389])).
% cnf(393,plain,(xr!=sz00),inference(split_conjunct,[status(thm)],[390])).
% cnf(394,plain,(doDivides0(xr,xk)),inference(split_conjunct,[status(thm)],[390])).
% cnf(395,plain,(xk=sdtasdt0(xr,esk12_0)),inference(split_conjunct,[status(thm)],[390])).
% cnf(396,plain,(aNaturalNumber0(esk12_0)),inference(split_conjunct,[status(thm)],[390])).
% cnf(397,plain,(aNaturalNumber0(xr)),inference(split_conjunct,[status(thm)],[390])).
% fof(411, negated_conjecture,(![X1]:(~(aNaturalNumber0(X1))|~(sdtasdt0(xn,xm)=sdtasdt0(xr,X1)))&~(doDivides0(xr,sdtasdt0(xn,xm)))),inference(fof_nnf,[status(thm)],[50])).
% fof(412, negated_conjecture,(![X2]:(~(aNaturalNumber0(X2))|~(sdtasdt0(xn,xm)=sdtasdt0(xr,X2)))&~(doDivides0(xr,sdtasdt0(xn,xm)))),inference(variable_rename,[status(thm)],[411])).
% fof(413, negated_conjecture,![X2]:((~(aNaturalNumber0(X2))|~(sdtasdt0(xn,xm)=sdtasdt0(xr,X2)))&~(doDivides0(xr,sdtasdt0(xn,xm)))),inference(shift_quantors,[status(thm)],[412])).
% cnf(414,negated_conjecture,(~doDivides0(xr,sdtasdt0(xn,xm))),inference(split_conjunct,[status(thm)],[413])).
% cnf(416,negated_conjecture,(~doDivides0(xr,sdtasdt0(xp,xk))),inference(rw,[status(thm)],[414,379,theory(equality)])).
% cnf(526,plain,(doDivides0(X1,sdtasdt0(X1,X2))|~aNaturalNumber0(X2)|~aNaturalNumber0(X1)|~aNaturalNumber0(sdtasdt0(X1,X2))),inference(er,[status(thm)],[168,theory(equality)])).
% cnf(778,plain,(aNaturalNumber0(sdtasdt0(X1,sdtasdt0(X2,X3)))|~aNaturalNumber0(X3)|~aNaturalNumber0(sdtasdt0(X1,X2))|~aNaturalNumber0(X2)|~aNaturalNumber0(X1)),inference(spm,[status(thm)],[61,78,theory(equality)])).
% cnf(781,plain,(sdtasdt0(xk,X1)=sdtasdt0(xr,sdtasdt0(esk12_0,X1))|~aNaturalNumber0(X1)|~aNaturalNumber0(esk12_0)|~aNaturalNumber0(xr)),inference(spm,[status(thm)],[78,395,theory(equality)])).
% cnf(794,plain,(sdtasdt0(xk,X1)=sdtasdt0(xr,sdtasdt0(esk12_0,X1))|~aNaturalNumber0(X1)|$false|~aNaturalNumber0(xr)),inference(rw,[status(thm)],[781,396,theory(equality)])).
% cnf(795,plain,(sdtasdt0(xk,X1)=sdtasdt0(xr,sdtasdt0(esk12_0,X1))|~aNaturalNumber0(X1)|$false|$false),inference(rw,[status(thm)],[794,397,theory(equality)])).
% cnf(796,plain,(sdtasdt0(xk,X1)=sdtasdt0(xr,sdtasdt0(esk12_0,X1))|~aNaturalNumber0(X1)),inference(cn,[status(thm)],[795,theory(equality)])).
% cnf(1218,plain,(sdtsldt0(X1,X2)=X3|sz00=X2|sdtasdt0(X2,X3)!=X1|~aNaturalNumber0(X3)|~aNaturalNumber0(X2)|~aNaturalNumber0(X1)),inference(csr,[status(thm)],[173,168])).
% cnf(1220,plain,(sdtsldt0(X1,xr)=esk12_0|sz00=xr|xk!=X1|~aNaturalNumber0(esk12_0)|~aNaturalNumber0(xr)|~aNaturalNumber0(X1)),inference(spm,[status(thm)],[1218,395,theory(equality)])).
% cnf(1229,plain,(sdtsldt0(X1,xr)=esk12_0|sz00=xr|xk!=X1|$false|~aNaturalNumber0(xr)|~aNaturalNumber0(X1)),inference(rw,[status(thm)],[1220,396,theory(equality)])).
% cnf(1230,plain,(sdtsldt0(X1,xr)=esk12_0|sz00=xr|xk!=X1|$false|$false|~aNaturalNumber0(X1)),inference(rw,[status(thm)],[1229,397,theory(equality)])).
% cnf(1231,plain,(sdtsldt0(X1,xr)=esk12_0|sz00=xr|xk!=X1|~aNaturalNumber0(X1)),inference(cn,[status(thm)],[1230,theory(equality)])).
% cnf(1232,plain,(sdtsldt0(X1,xr)=esk12_0|xk!=X1|~aNaturalNumber0(X1)),inference(sr,[status(thm)],[1231,393,theory(equality)])).
% cnf(1343,plain,(sdtsldt0(sdtasdt0(X1,xk),xr)=sdtasdt0(X1,sdtsldt0(xk,xr))|sz00=xr|~aNaturalNumber0(X1)|~aNaturalNumber0(xr)|~aNaturalNumber0(xk)),inference(spm,[status(thm)],[191,394,theory(equality)])).
% cnf(1344,plain,(sdtsldt0(sdtasdt0(X1,xk),xr)=sdtasdt0(X1,sdtsldt0(xk,xr))|sz00=xr|~aNaturalNumber0(X1)|$false|~aNaturalNumber0(xk)),inference(rw,[status(thm)],[1343,397,theory(equality)])).
% cnf(1345,plain,(sdtsldt0(sdtasdt0(X1,xk),xr)=sdtasdt0(X1,sdtsldt0(xk,xr))|sz00=xr|~aNaturalNumber0(X1)|$false|$false),inference(rw,[status(thm)],[1344,380,theory(equality)])).
% cnf(1346,plain,(sdtsldt0(sdtasdt0(X1,xk),xr)=sdtasdt0(X1,sdtsldt0(xk,xr))|sz00=xr|~aNaturalNumber0(X1)),inference(cn,[status(thm)],[1345,theory(equality)])).
% cnf(1347,plain,(sdtsldt0(sdtasdt0(X1,xk),xr)=sdtasdt0(X1,sdtsldt0(xk,xr))|~aNaturalNumber0(X1)),inference(sr,[status(thm)],[1346,393,theory(equality)])).
% cnf(7633,plain,(doDivides0(X1,sdtasdt0(X1,X2))|~aNaturalNumber0(X2)|~aNaturalNumber0(X1)),inference(csr,[status(thm)],[526,61])).
% cnf(8144,plain,(sdtsldt0(xk,xr)=esk12_0|~aNaturalNumber0(xk)),inference(er,[status(thm)],[1232,theory(equality)])).
% cnf(8145,plain,(sdtsldt0(xk,xr)=esk12_0|$false),inference(rw,[status(thm)],[8144,380,theory(equality)])).
% cnf(8146,plain,(sdtsldt0(xk,xr)=esk12_0),inference(cn,[status(thm)],[8145,theory(equality)])).
% cnf(30222,plain,(aNaturalNumber0(sdtasdt0(X1,sdtasdt0(X2,X3)))|~aNaturalNumber0(X2)|~aNaturalNumber0(X1)|~aNaturalNumber0(X3)),inference(csr,[status(thm)],[778,61])).
% cnf(31163,plain,(doDivides0(xr,sdtasdt0(xk,X1))|~aNaturalNumber0(sdtasdt0(esk12_0,X1))|~aNaturalNumber0(xr)|~aNaturalNumber0(X1)),inference(spm,[status(thm)],[7633,796,theory(equality)])).
% cnf(31428,plain,(doDivides0(xr,sdtasdt0(xk,X1))|~aNaturalNumber0(sdtasdt0(esk12_0,X1))|$false|~aNaturalNumber0(X1)),inference(rw,[status(thm)],[31163,397,theory(equality)])).
% cnf(31429,plain,(doDivides0(xr,sdtasdt0(xk,X1))|~aNaturalNumber0(sdtasdt0(esk12_0,X1))|~aNaturalNumber0(X1)),inference(cn,[status(thm)],[31428,theory(equality)])).
% cnf(164843,plain,(sdtsldt0(sdtasdt0(X1,xk),xr)=sdtasdt0(X1,esk12_0)|~aNaturalNumber0(X1)),inference(rw,[status(thm)],[1347,8146,theory(equality)])).
% cnf(164857,plain,(sdtsldt0(xk,xr)=sdtasdt0(sz10,esk12_0)|~aNaturalNumber0(sz10)|~aNaturalNumber0(xk)),inference(spm,[status(thm)],[164843,82,theory(equality)])).
% cnf(164897,plain,(esk12_0=sdtasdt0(sz10,esk12_0)|~aNaturalNumber0(sz10)|~aNaturalNumber0(xk)),inference(rw,[status(thm)],[164857,8146,theory(equality)])).
% cnf(164898,plain,(esk12_0=sdtasdt0(sz10,esk12_0)|$false|~aNaturalNumber0(xk)),inference(rw,[status(thm)],[164897,55,theory(equality)])).
% cnf(164899,plain,(esk12_0=sdtasdt0(sz10,esk12_0)|$false|$false),inference(rw,[status(thm)],[164898,380,theory(equality)])).
% cnf(164900,plain,(esk12_0=sdtasdt0(sz10,esk12_0)),inference(cn,[status(thm)],[164899,theory(equality)])).
% cnf(165061,plain,(aNaturalNumber0(sdtasdt0(X1,esk12_0))|~aNaturalNumber0(esk12_0)|~aNaturalNumber0(sz10)|~aNaturalNumber0(X1)),inference(spm,[status(thm)],[30222,164900,theory(equality)])).
% cnf(165552,plain,(aNaturalNumber0(sdtasdt0(X1,esk12_0))|$false|~aNaturalNumber0(sz10)|~aNaturalNumber0(X1)),inference(rw,[status(thm)],[165061,396,theory(equality)])).
% cnf(165553,plain,(aNaturalNumber0(sdtasdt0(X1,esk12_0))|$false|$false|~aNaturalNumber0(X1)),inference(rw,[status(thm)],[165552,55,theory(equality)])).
% cnf(165554,plain,(aNaturalNumber0(sdtasdt0(X1,esk12_0))|~aNaturalNumber0(X1)),inference(cn,[status(thm)],[165553,theory(equality)])).
% cnf(165947,plain,(aNaturalNumber0(sdtasdt0(esk12_0,X1))|~aNaturalNumber0(X1)|~aNaturalNumber0(esk12_0)),inference(spm,[status(thm)],[165554,75,theory(equality)])).
% cnf(165994,plain,(aNaturalNumber0(sdtasdt0(esk12_0,X1))|~aNaturalNumber0(X1)|$false),inference(rw,[status(thm)],[165947,396,theory(equality)])).
% cnf(165995,plain,(aNaturalNumber0(sdtasdt0(esk12_0,X1))|~aNaturalNumber0(X1)),inference(cn,[status(thm)],[165994,theory(equality)])).
% cnf(211926,plain,(doDivides0(xr,sdtasdt0(xk,X1))|~aNaturalNumber0(X1)),inference(csr,[status(thm)],[31429,165995])).
% cnf(212010,plain,(doDivides0(xr,sdtasdt0(X1,xk))|~aNaturalNumber0(X1)|~aNaturalNumber0(xk)),inference(spm,[status(thm)],[211926,75,theory(equality)])).
% cnf(212331,plain,(doDivides0(xr,sdtasdt0(X1,xk))|~aNaturalNumber0(X1)|$false),inference(rw,[status(thm)],[212010,380,theory(equality)])).
% cnf(212332,plain,(doDivides0(xr,sdtasdt0(X1,xk))|~aNaturalNumber0(X1)),inference(cn,[status(thm)],[212331,theory(equality)])).
% cnf(212409,negated_conjecture,(~aNaturalNumber0(xp)),inference(spm,[status(thm)],[416,212332,theory(equality)])).
% cnf(212706,negated_conjecture,($false),inference(rw,[status(thm)],[212409,211,theory(equality)])).
% cnf(212707,negated_conjecture,($false),inference(cn,[status(thm)],[212706,theory(equality)])).
% cnf(212708,negated_conjecture,($false),212707,['proof']).
% # SZS output end CNFRefutation
% # Processed clauses : 3508
% # ...of these trivial : 149
% # ...subsumed : 1602
% # ...remaining for further processing: 1757
% # Other redundant clauses eliminated : 50
% # Clauses deleted for lack of memory : 0
% # Backward-subsumed : 86
% # Backward-rewritten : 308
% # Generated clauses : 63612
% # ...of the previous two non-trivial : 57433
% # Contextual simplify-reflections : 471
% # Paramodulations : 63298
% # Factorizations : 7
% # Equation resolutions : 301
% # Current number of processed clauses: 1360
% # Positive orientable unit clauses: 453
% # Positive unorientable unit clauses: 0
% # Negative unit clauses : 42
% # Non-unit-clauses : 865
% # Current number of unprocessed clauses: 40669
% # ...number of literals in the above : 295045
% # Clause-clause subsumption calls (NU) : 39283
% # Rec. Clause-clause subsumption calls : 10784
% # Unit Clause-clause subsumption calls : 2030
% # Rewrite failures with RHS unbound : 0
% # Indexed BW rewrite attempts : 782
% # Indexed BW rewrite successes : 158
% # Backwards rewriting index: 1111 leaves, 1.26+/-1.283 terms/leaf
% # Paramod-from index: 646 leaves, 1.17+/-1.155 terms/leaf
% # Paramod-into index: 968 leaves, 1.22+/-1.211 terms/leaf
% # -------------------------------------------------
% # User time : 3.786 s
% # System time : 0.156 s
% # Total time : 3.942 s
% # Maximum resident set size: 0 pages
% PrfWatch: 7.75 CPU 7.99 WC
% FINAL PrfWatch: 7.75 CPU 7.99 WC
% SZS output end Solution for /tmp/SystemOnTPTP6440/NUM501+3.tptp
%
%------------------------------------------------------------------------------