TSTP Solution File: NUM513+3 by SRASS---0.1
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- Process Solution
%------------------------------------------------------------------------------
% File : SRASS---0.1
% Problem : NUM513+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 19:47:36 EST 2010
% Result : Theorem 5.35s
% Output : Solution 5.35s
% 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/SystemOnTPTP11853/NUM513+3.tptp
% Adding relevance values
% Extracting the conjecture
% Sorting axioms by relevance
% Looking for THM ...
% found
% SZS status THM for /tmp/SystemOnTPTP11853/NUM513+3.tptp
% SZS output start Solution for /tmp/SystemOnTPTP11853/NUM513+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 11949
% TreeLimitedRun: ----------------------------------------------------------
% PrfWatch: 0.00 CPU 0.02 WC
% PrfWatch: 1.92 CPU 2.03 WC
% # Preprocessing time : 0.034 s
% # Problem is unsatisfiable (or provable), constructing proof object
% # SZS status Theorem
% PrfWatch: 3.91 CPU 4.04 WC
% # SZS output start CNFRefutation.
% 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(14, 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(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(46, axiom,((?[X1]:(aNaturalNumber0(X1)&sdtpldt0(xr,X1)=xk)&?[X1]:(aNaturalNumber0(X1)&sdtasdt0(xn,xm)=sdtasdt0(xr,X1)))&doDivides0(xr,sdtasdt0(xn,xm))),file('/tmp/SRASS.s.p', m__2362)).
% fof(49, axiom,(?[X1]:(aNaturalNumber0(X1)&xn=sdtasdt0(xr,X1))&doDivides0(xr,xn)),file('/tmp/SRASS.s.p', m__2487)).
% fof(50, axiom,((((~(((aNaturalNumber0(sdtsldt0(xn,xr))&xn=sdtasdt0(xr,sdtsldt0(xn,xr)))=>sdtsldt0(xn,xr)=xn))&aNaturalNumber0(sdtsldt0(xn,xr)))&xn=sdtasdt0(xr,sdtsldt0(xn,xr)))&?[X1]:(aNaturalNumber0(X1)&sdtpldt0(sdtsldt0(xn,xr),X1)=xn))&sdtlseqdt0(sdtsldt0(xn,xr),xn)),file('/tmp/SRASS.s.p', m__2504)).
% fof(51, axiom,(((((aNaturalNumber0(sdtsldt0(xn,xr))&xn=sdtasdt0(xr,sdtsldt0(xn,xr)))&sdtasdt0(sdtasdt0(sdtsldt0(xn,xr),xm),xr)=sdtasdt0(xn,xm))&aNaturalNumber0(sdtsldt0(sdtasdt0(xp,xk),xr)))&sdtasdt0(xp,xk)=sdtasdt0(xr,sdtsldt0(sdtasdt0(xp,xk),xr)))&sdtasdt0(xn,xm)=sdtasdt0(sdtsldt0(sdtasdt0(xp,xk),xr),xr)),file('/tmp/SRASS.s.p', m__2576)).
% fof(55, conjecture,((aNaturalNumber0(sdtsldt0(xk,xr))&xk=sdtasdt0(xr,sdtsldt0(xk,xr)))=>((aNaturalNumber0(sdtsldt0(xn,xr))&xn=sdtasdt0(xr,sdtsldt0(xn,xr)))=>sdtasdt0(xp,sdtsldt0(xk,xr))=sdtasdt0(sdtsldt0(xn,xr),xm))),file('/tmp/SRASS.s.p', m__)).
% fof(56, negated_conjecture,~(((aNaturalNumber0(sdtsldt0(xk,xr))&xk=sdtasdt0(xr,sdtsldt0(xk,xr)))=>((aNaturalNumber0(sdtsldt0(xn,xr))&xn=sdtasdt0(xr,sdtsldt0(xn,xr)))=>sdtasdt0(xp,sdtsldt0(xk,xr))=sdtasdt0(sdtsldt0(xn,xr),xm)))),inference(assume_negation,[status(cth)],[55])).
% fof(65, plain,![X1]:![X2]:((~(aNaturalNumber0(X1))|~(aNaturalNumber0(X2)))|aNaturalNumber0(sdtasdt0(X1,X2))),inference(fof_nnf,[status(thm)],[4])).
% fof(66, plain,![X3]:![X4]:((~(aNaturalNumber0(X3))|~(aNaturalNumber0(X4)))|aNaturalNumber0(sdtasdt0(X3,X4))),inference(variable_rename,[status(thm)],[65])).
% cnf(67,plain,(aNaturalNumber0(sdtasdt0(X1,X2))|~aNaturalNumber0(X2)|~aNaturalNumber0(X1)),inference(split_conjunct,[status(thm)],[66])).
% fof(79, plain,![X1]:![X2]:((~(aNaturalNumber0(X1))|~(aNaturalNumber0(X2)))|sdtasdt0(X1,X2)=sdtasdt0(X2,X1)),inference(fof_nnf,[status(thm)],[8])).
% fof(80, plain,![X3]:![X4]:((~(aNaturalNumber0(X3))|~(aNaturalNumber0(X4)))|sdtasdt0(X3,X4)=sdtasdt0(X4,X3)),inference(variable_rename,[status(thm)],[79])).
% cnf(81,plain,(sdtasdt0(X1,X2)=sdtasdt0(X2,X1)|~aNaturalNumber0(X2)|~aNaturalNumber0(X1)),inference(split_conjunct,[status(thm)],[80])).
% fof(105, 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)],[14])).
% fof(106, 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)],[105])).
% fof(107, 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)],[106])).
% fof(108, 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)],[107])).
% cnf(110,plain,(X1=sz00|X3=X2|~aNaturalNumber0(X1)|~aNaturalNumber0(X2)|~aNaturalNumber0(X3)|sdtasdt0(X1,X3)!=sdtasdt0(X1,X2)),inference(split_conjunct,[status(thm)],[108])).
% fof(167, 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(168, 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)],[167])).
% fof(169, 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)],[168])).
% fof(170, 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)],[169])).
% fof(171, 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)],[170])).
% cnf(174,plain,(doDivides0(X2,X1)|~aNaturalNumber0(X1)|~aNaturalNumber0(X2)|X1!=sdtasdt0(X2,X3)|~aNaturalNumber0(X3)),inference(split_conjunct,[status(thm)],[171])).
% fof(175, 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(176, 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)],[175])).
% fof(177, 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)],[176])).
% fof(178, 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)],[177])).
% cnf(179,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)],[178])).
% fof(194, 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(195, 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)],[194])).
% fof(196, 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)],[195])).
% cnf(197,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)],[196])).
% cnf(217,plain,(aNaturalNumber0(xp)),inference(split_conjunct,[status(thm)],[36])).
% cnf(218,plain,(aNaturalNumber0(xm)),inference(split_conjunct,[status(thm)],[36])).
% cnf(219,plain,(aNaturalNumber0(xn)),inference(split_conjunct,[status(thm)],[36])).
% cnf(385,plain,(sdtasdt0(xn,xm)=sdtasdt0(xp,xk)),inference(split_conjunct,[status(thm)],[42])).
% cnf(386,plain,(aNaturalNumber0(xk)),inference(split_conjunct,[status(thm)],[42])).
% fof(392, 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(393, 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)],[392])).
% fof(394, 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)],[393])).
% fof(395, 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)],[394])).
% fof(396, 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)],[395])).
% cnf(399,plain,(xr!=sz00),inference(split_conjunct,[status(thm)],[396])).
% cnf(400,plain,(doDivides0(xr,xk)),inference(split_conjunct,[status(thm)],[396])).
% cnf(401,plain,(xk=sdtasdt0(xr,esk12_0)),inference(split_conjunct,[status(thm)],[396])).
% cnf(402,plain,(aNaturalNumber0(esk12_0)),inference(split_conjunct,[status(thm)],[396])).
% cnf(403,plain,(aNaturalNumber0(xr)),inference(split_conjunct,[status(thm)],[396])).
% fof(406, plain,((?[X2]:(aNaturalNumber0(X2)&sdtpldt0(xr,X2)=xk)&?[X3]:(aNaturalNumber0(X3)&sdtasdt0(xn,xm)=sdtasdt0(xr,X3)))&doDivides0(xr,sdtasdt0(xn,xm))),inference(variable_rename,[status(thm)],[46])).
% fof(407, plain,(((aNaturalNumber0(esk13_0)&sdtpldt0(xr,esk13_0)=xk)&(aNaturalNumber0(esk14_0)&sdtasdt0(xn,xm)=sdtasdt0(xr,esk14_0)))&doDivides0(xr,sdtasdt0(xn,xm))),inference(skolemize,[status(esa)],[406])).
% cnf(409,plain,(sdtasdt0(xn,xm)=sdtasdt0(xr,esk14_0)),inference(split_conjunct,[status(thm)],[407])).
% cnf(410,plain,(aNaturalNumber0(esk14_0)),inference(split_conjunct,[status(thm)],[407])).
% fof(431, plain,(?[X2]:(aNaturalNumber0(X2)&xn=sdtasdt0(xr,X2))&doDivides0(xr,xn)),inference(variable_rename,[status(thm)],[49])).
% fof(432, plain,((aNaturalNumber0(esk18_0)&xn=sdtasdt0(xr,esk18_0))&doDivides0(xr,xn)),inference(skolemize,[status(esa)],[431])).
% cnf(433,plain,(doDivides0(xr,xn)),inference(split_conjunct,[status(thm)],[432])).
% cnf(434,plain,(xn=sdtasdt0(xr,esk18_0)),inference(split_conjunct,[status(thm)],[432])).
% cnf(435,plain,(aNaturalNumber0(esk18_0)),inference(split_conjunct,[status(thm)],[432])).
% fof(436, plain,((((((aNaturalNumber0(sdtsldt0(xn,xr))&xn=sdtasdt0(xr,sdtsldt0(xn,xr)))&~(sdtsldt0(xn,xr)=xn))&aNaturalNumber0(sdtsldt0(xn,xr)))&xn=sdtasdt0(xr,sdtsldt0(xn,xr)))&?[X1]:(aNaturalNumber0(X1)&sdtpldt0(sdtsldt0(xn,xr),X1)=xn))&sdtlseqdt0(sdtsldt0(xn,xr),xn)),inference(fof_nnf,[status(thm)],[50])).
% fof(437, plain,((((((aNaturalNumber0(sdtsldt0(xn,xr))&xn=sdtasdt0(xr,sdtsldt0(xn,xr)))&~(sdtsldt0(xn,xr)=xn))&aNaturalNumber0(sdtsldt0(xn,xr)))&xn=sdtasdt0(xr,sdtsldt0(xn,xr)))&?[X2]:(aNaturalNumber0(X2)&sdtpldt0(sdtsldt0(xn,xr),X2)=xn))&sdtlseqdt0(sdtsldt0(xn,xr),xn)),inference(variable_rename,[status(thm)],[436])).
% fof(438, plain,((((((aNaturalNumber0(sdtsldt0(xn,xr))&xn=sdtasdt0(xr,sdtsldt0(xn,xr)))&~(sdtsldt0(xn,xr)=xn))&aNaturalNumber0(sdtsldt0(xn,xr)))&xn=sdtasdt0(xr,sdtsldt0(xn,xr)))&(aNaturalNumber0(esk19_0)&sdtpldt0(sdtsldt0(xn,xr),esk19_0)=xn))&sdtlseqdt0(sdtsldt0(xn,xr),xn)),inference(skolemize,[status(esa)],[437])).
% cnf(442,plain,(xn=sdtasdt0(xr,sdtsldt0(xn,xr))),inference(split_conjunct,[status(thm)],[438])).
% cnf(443,plain,(aNaturalNumber0(sdtsldt0(xn,xr))),inference(split_conjunct,[status(thm)],[438])).
% cnf(448,plain,(sdtasdt0(xp,xk)=sdtasdt0(xr,sdtsldt0(sdtasdt0(xp,xk),xr))),inference(split_conjunct,[status(thm)],[51])).
% cnf(449,plain,(aNaturalNumber0(sdtsldt0(sdtasdt0(xp,xk),xr))),inference(split_conjunct,[status(thm)],[51])).
% fof(464, negated_conjecture,((aNaturalNumber0(sdtsldt0(xk,xr))&xk=sdtasdt0(xr,sdtsldt0(xk,xr)))&((aNaturalNumber0(sdtsldt0(xn,xr))&xn=sdtasdt0(xr,sdtsldt0(xn,xr)))&~(sdtasdt0(xp,sdtsldt0(xk,xr))=sdtasdt0(sdtsldt0(xn,xr),xm)))),inference(fof_nnf,[status(thm)],[56])).
% cnf(465,negated_conjecture,(sdtasdt0(xp,sdtsldt0(xk,xr))!=sdtasdt0(sdtsldt0(xn,xr),xm)),inference(split_conjunct,[status(thm)],[464])).
% cnf(468,negated_conjecture,(xk=sdtasdt0(xr,sdtsldt0(xk,xr))),inference(split_conjunct,[status(thm)],[464])).
% cnf(469,negated_conjecture,(aNaturalNumber0(sdtsldt0(xk,xr))),inference(split_conjunct,[status(thm)],[464])).
% cnf(473,plain,(aNaturalNumber0(sdtsldt0(sdtasdt0(xn,xm),xr))),inference(rw,[status(thm)],[449,385,theory(equality)])).
% cnf(478,plain,(sdtasdt0(xr,sdtsldt0(sdtasdt0(xn,xm),xr))=sdtasdt0(xp,xk)),inference(rw,[status(thm)],[448,385,theory(equality)])).
% cnf(479,plain,(sdtasdt0(xr,sdtsldt0(sdtasdt0(xn,xm),xr))=sdtasdt0(xn,xm)),inference(rw,[status(thm)],[478,385,theory(equality)])).
% cnf(484,plain,(sdtsldt0(X1,X2)=X3|sz00=X2|sdtasdt0(X2,X3)!=X1|~aNaturalNumber0(X3)|~aNaturalNumber0(X2)|~aNaturalNumber0(X1)),inference(csr,[status(thm)],[179,174])).
% cnf(493,plain,(aNaturalNumber0(sdtasdt0(xn,xm))|~aNaturalNumber0(esk14_0)|~aNaturalNumber0(xr)),inference(spm,[status(thm)],[67,409,theory(equality)])).
% cnf(513,plain,(aNaturalNumber0(sdtasdt0(xn,xm))|$false|~aNaturalNumber0(xr)),inference(rw,[status(thm)],[493,410,theory(equality)])).
% cnf(514,plain,(aNaturalNumber0(sdtasdt0(xn,xm))|$false|$false),inference(rw,[status(thm)],[513,403,theory(equality)])).
% cnf(515,plain,(aNaturalNumber0(sdtasdt0(xn,xm))),inference(cn,[status(thm)],[514,theory(equality)])).
% cnf(612,negated_conjecture,(sdtasdt0(xm,sdtsldt0(xn,xr))!=sdtasdt0(xp,sdtsldt0(xk,xr))|~aNaturalNumber0(sdtsldt0(xn,xr))|~aNaturalNumber0(xm)),inference(spm,[status(thm)],[465,81,theory(equality)])).
% cnf(635,negated_conjecture,(sdtasdt0(xm,sdtsldt0(xn,xr))!=sdtasdt0(xp,sdtsldt0(xk,xr))|$false|~aNaturalNumber0(xm)),inference(rw,[status(thm)],[612,443,theory(equality)])).
% cnf(636,negated_conjecture,(sdtasdt0(xm,sdtsldt0(xn,xr))!=sdtasdt0(xp,sdtsldt0(xk,xr))|$false|$false),inference(rw,[status(thm)],[635,218,theory(equality)])).
% cnf(637,negated_conjecture,(sdtasdt0(xm,sdtsldt0(xn,xr))!=sdtasdt0(xp,sdtsldt0(xk,xr))),inference(cn,[status(thm)],[636,theory(equality)])).
% cnf(1374,plain,(sz00=xr|X1=esk18_0|sdtasdt0(xr,X1)!=xn|~aNaturalNumber0(esk18_0)|~aNaturalNumber0(X1)|~aNaturalNumber0(xr)),inference(spm,[status(thm)],[110,434,theory(equality)])).
% cnf(1378,plain,(sz00=xr|X1=esk14_0|sdtasdt0(xr,X1)!=sdtasdt0(xn,xm)|~aNaturalNumber0(esk14_0)|~aNaturalNumber0(X1)|~aNaturalNumber0(xr)),inference(spm,[status(thm)],[110,409,theory(equality)])).
% cnf(1379,plain,(sz00=xr|X1=esk12_0|sdtasdt0(xr,X1)!=xk|~aNaturalNumber0(esk12_0)|~aNaturalNumber0(X1)|~aNaturalNumber0(xr)),inference(spm,[status(thm)],[110,401,theory(equality)])).
% cnf(1414,plain,(sz00=xr|X1=esk18_0|sdtasdt0(xr,X1)!=xn|$false|~aNaturalNumber0(X1)|~aNaturalNumber0(xr)),inference(rw,[status(thm)],[1374,435,theory(equality)])).
% cnf(1415,plain,(sz00=xr|X1=esk18_0|sdtasdt0(xr,X1)!=xn|$false|~aNaturalNumber0(X1)|$false),inference(rw,[status(thm)],[1414,403,theory(equality)])).
% cnf(1416,plain,(sz00=xr|X1=esk18_0|sdtasdt0(xr,X1)!=xn|~aNaturalNumber0(X1)),inference(cn,[status(thm)],[1415,theory(equality)])).
% cnf(1417,plain,(X1=esk18_0|sdtasdt0(xr,X1)!=xn|~aNaturalNumber0(X1)),inference(sr,[status(thm)],[1416,399,theory(equality)])).
% cnf(1427,plain,(sz00=xr|X1=esk14_0|sdtasdt0(xr,X1)!=sdtasdt0(xn,xm)|$false|~aNaturalNumber0(X1)|~aNaturalNumber0(xr)),inference(rw,[status(thm)],[1378,410,theory(equality)])).
% cnf(1428,plain,(sz00=xr|X1=esk14_0|sdtasdt0(xr,X1)!=sdtasdt0(xn,xm)|$false|~aNaturalNumber0(X1)|$false),inference(rw,[status(thm)],[1427,403,theory(equality)])).
% cnf(1429,plain,(sz00=xr|X1=esk14_0|sdtasdt0(xr,X1)!=sdtasdt0(xn,xm)|~aNaturalNumber0(X1)),inference(cn,[status(thm)],[1428,theory(equality)])).
% cnf(1430,plain,(X1=esk14_0|sdtasdt0(xr,X1)!=sdtasdt0(xn,xm)|~aNaturalNumber0(X1)),inference(sr,[status(thm)],[1429,399,theory(equality)])).
% cnf(1431,plain,(sz00=xr|X1=esk12_0|sdtasdt0(xr,X1)!=xk|$false|~aNaturalNumber0(X1)|~aNaturalNumber0(xr)),inference(rw,[status(thm)],[1379,402,theory(equality)])).
% cnf(1432,plain,(sz00=xr|X1=esk12_0|sdtasdt0(xr,X1)!=xk|$false|~aNaturalNumber0(X1)|$false),inference(rw,[status(thm)],[1431,403,theory(equality)])).
% cnf(1433,plain,(sz00=xr|X1=esk12_0|sdtasdt0(xr,X1)!=xk|~aNaturalNumber0(X1)),inference(cn,[status(thm)],[1432,theory(equality)])).
% cnf(1434,plain,(X1=esk12_0|sdtasdt0(xr,X1)!=xk|~aNaturalNumber0(X1)),inference(sr,[status(thm)],[1433,399,theory(equality)])).
% cnf(1531,plain,(sdtsldt0(X1,xr)=esk14_0|sz00=xr|sdtasdt0(xn,xm)!=X1|~aNaturalNumber0(esk14_0)|~aNaturalNumber0(xr)|~aNaturalNumber0(X1)),inference(spm,[status(thm)],[484,409,theory(equality)])).
% cnf(1560,plain,(sdtsldt0(X1,xr)=esk14_0|sz00=xr|sdtasdt0(xn,xm)!=X1|$false|~aNaturalNumber0(xr)|~aNaturalNumber0(X1)),inference(rw,[status(thm)],[1531,410,theory(equality)])).
% cnf(1561,plain,(sdtsldt0(X1,xr)=esk14_0|sz00=xr|sdtasdt0(xn,xm)!=X1|$false|$false|~aNaturalNumber0(X1)),inference(rw,[status(thm)],[1560,403,theory(equality)])).
% cnf(1562,plain,(sdtsldt0(X1,xr)=esk14_0|sz00=xr|sdtasdt0(xn,xm)!=X1|~aNaturalNumber0(X1)),inference(cn,[status(thm)],[1561,theory(equality)])).
% cnf(1563,plain,(sdtsldt0(X1,xr)=esk14_0|sdtasdt0(xn,xm)!=X1|~aNaturalNumber0(X1)),inference(sr,[status(thm)],[1562,399,theory(equality)])).
% cnf(2130,plain,(sdtsldt0(sdtasdt0(xn,xm),X1)=sdtasdt0(xp,sdtsldt0(xk,X1))|sz00=X1|~doDivides0(X1,xk)|~aNaturalNumber0(xp)|~aNaturalNumber0(X1)|~aNaturalNumber0(xk)),inference(spm,[status(thm)],[197,385,theory(equality)])).
% cnf(2139,plain,(sdtsldt0(sdtasdt0(X2,X1),X3)=sdtasdt0(X1,sdtsldt0(X2,X3))|sz00=X3|~doDivides0(X3,X2)|~aNaturalNumber0(X1)|~aNaturalNumber0(X3)|~aNaturalNumber0(X2)),inference(spm,[status(thm)],[197,81,theory(equality)])).
% cnf(2188,plain,(sdtsldt0(sdtasdt0(xn,xm),X1)=sdtasdt0(xp,sdtsldt0(xk,X1))|sz00=X1|~doDivides0(X1,xk)|$false|~aNaturalNumber0(X1)|~aNaturalNumber0(xk)),inference(rw,[status(thm)],[2130,217,theory(equality)])).
% cnf(2189,plain,(sdtsldt0(sdtasdt0(xn,xm),X1)=sdtasdt0(xp,sdtsldt0(xk,X1))|sz00=X1|~doDivides0(X1,xk)|$false|~aNaturalNumber0(X1)|$false),inference(rw,[status(thm)],[2188,386,theory(equality)])).
% cnf(2190,plain,(sdtsldt0(sdtasdt0(xn,xm),X1)=sdtasdt0(xp,sdtsldt0(xk,X1))|sz00=X1|~doDivides0(X1,xk)|~aNaturalNumber0(X1)),inference(cn,[status(thm)],[2189,theory(equality)])).
% cnf(10006,plain,(sdtsldt0(xn,xr)=esk18_0|~aNaturalNumber0(sdtsldt0(xn,xr))),inference(spm,[status(thm)],[1417,442,theory(equality)])).
% cnf(10027,plain,(sdtsldt0(xn,xr)=esk18_0|$false),inference(rw,[status(thm)],[10006,443,theory(equality)])).
% cnf(10028,plain,(sdtsldt0(xn,xr)=esk18_0),inference(cn,[status(thm)],[10027,theory(equality)])).
% cnf(10037,negated_conjecture,(sdtasdt0(xm,esk18_0)!=sdtasdt0(xp,sdtsldt0(xk,xr))),inference(rw,[status(thm)],[637,10028,theory(equality)])).
% cnf(12905,negated_conjecture,(sdtsldt0(xk,xr)=esk12_0|~aNaturalNumber0(sdtsldt0(xk,xr))),inference(spm,[status(thm)],[1434,468,theory(equality)])).
% cnf(12930,negated_conjecture,(sdtsldt0(xk,xr)=esk12_0|$false),inference(rw,[status(thm)],[12905,469,theory(equality)])).
% cnf(12931,negated_conjecture,(sdtsldt0(xk,xr)=esk12_0),inference(cn,[status(thm)],[12930,theory(equality)])).
% cnf(12942,negated_conjecture,(sdtasdt0(xp,esk12_0)!=sdtasdt0(xm,esk18_0)),inference(rw,[status(thm)],[10037,12931,theory(equality)])).
% cnf(41139,plain,(sdtsldt0(sdtasdt0(xn,xm),xr)=esk14_0|~aNaturalNumber0(sdtsldt0(sdtasdt0(xn,xm),xr))),inference(spm,[status(thm)],[1430,479,theory(equality)])).
% cnf(41200,plain,(sdtsldt0(sdtasdt0(xn,xm),xr)=esk14_0|$false),inference(rw,[status(thm)],[41139,473,theory(equality)])).
% cnf(41201,plain,(sdtsldt0(sdtasdt0(xn,xm),xr)=esk14_0),inference(cn,[status(thm)],[41200,theory(equality)])).
% cnf(98883,plain,(sdtasdt0(xp,sdtsldt0(xk,xr))=esk14_0|sz00=xr|~aNaturalNumber0(sdtasdt0(xn,xm))|~doDivides0(xr,xk)|~aNaturalNumber0(xr)),inference(spm,[status(thm)],[1563,2190,theory(equality)])).
% cnf(98929,plain,(sdtasdt0(xp,esk12_0)=esk14_0|sz00=xr|~aNaturalNumber0(sdtasdt0(xn,xm))|~doDivides0(xr,xk)|~aNaturalNumber0(xr)),inference(rw,[status(thm)],[98883,12931,theory(equality)])).
% cnf(98930,plain,(sdtasdt0(xp,esk12_0)=esk14_0|sz00=xr|$false|~doDivides0(xr,xk)|~aNaturalNumber0(xr)),inference(rw,[status(thm)],[98929,515,theory(equality)])).
% cnf(98931,plain,(sdtasdt0(xp,esk12_0)=esk14_0|sz00=xr|$false|$false|~aNaturalNumber0(xr)),inference(rw,[status(thm)],[98930,400,theory(equality)])).
% cnf(98932,plain,(sdtasdt0(xp,esk12_0)=esk14_0|sz00=xr|$false|$false|$false),inference(rw,[status(thm)],[98931,403,theory(equality)])).
% cnf(98933,plain,(sdtasdt0(xp,esk12_0)=esk14_0|sz00=xr),inference(cn,[status(thm)],[98932,theory(equality)])).
% cnf(98934,plain,(sdtasdt0(xp,esk12_0)=esk14_0),inference(sr,[status(thm)],[98933,399,theory(equality)])).
% cnf(99097,negated_conjecture,(sdtasdt0(xm,esk18_0)!=esk14_0),inference(rw,[status(thm)],[12942,98934,theory(equality)])).
% cnf(103578,plain,(sdtasdt0(xm,sdtsldt0(xn,xr))=esk14_0|sz00=xr|~doDivides0(xr,xn)|~aNaturalNumber0(xm)|~aNaturalNumber0(xr)|~aNaturalNumber0(xn)),inference(spm,[status(thm)],[41201,2139,theory(equality)])).
% cnf(103803,plain,(sdtasdt0(xm,esk18_0)=esk14_0|sz00=xr|~doDivides0(xr,xn)|~aNaturalNumber0(xm)|~aNaturalNumber0(xr)|~aNaturalNumber0(xn)),inference(rw,[status(thm)],[103578,10028,theory(equality)])).
% cnf(103804,plain,(sdtasdt0(xm,esk18_0)=esk14_0|sz00=xr|$false|~aNaturalNumber0(xm)|~aNaturalNumber0(xr)|~aNaturalNumber0(xn)),inference(rw,[status(thm)],[103803,433,theory(equality)])).
% cnf(103805,plain,(sdtasdt0(xm,esk18_0)=esk14_0|sz00=xr|$false|$false|~aNaturalNumber0(xr)|~aNaturalNumber0(xn)),inference(rw,[status(thm)],[103804,218,theory(equality)])).
% cnf(103806,plain,(sdtasdt0(xm,esk18_0)=esk14_0|sz00=xr|$false|$false|$false|~aNaturalNumber0(xn)),inference(rw,[status(thm)],[103805,403,theory(equality)])).
% cnf(103807,plain,(sdtasdt0(xm,esk18_0)=esk14_0|sz00=xr|$false|$false|$false|$false),inference(rw,[status(thm)],[103806,219,theory(equality)])).
% cnf(103808,plain,(sdtasdt0(xm,esk18_0)=esk14_0|sz00=xr),inference(cn,[status(thm)],[103807,theory(equality)])).
% cnf(103809,plain,(xr=sz00),inference(sr,[status(thm)],[103808,99097,theory(equality)])).
% cnf(103810,plain,($false),inference(sr,[status(thm)],[103809,399,theory(equality)])).
% cnf(103811,plain,($false),103810,['proof']).
% # SZS output end CNFRefutation
% # Processed clauses : 3870
% # ...of these trivial : 140
% # ...subsumed : 2080
% # ...remaining for further processing: 1650
% # Other redundant clauses eliminated : 95
% # Clauses deleted for lack of memory : 0
% # Backward-subsumed : 59
% # Backward-rewritten : 69
% # Generated clauses : 41504
% # ...of the previous two non-trivial : 38842
% # Contextual simplify-reflections : 422
% # Paramodulations : 41334
% # Factorizations : 5
% # Equation resolutions : 154
% # Current number of processed clauses: 1254
% # Positive orientable unit clauses: 247
% # Positive unorientable unit clauses: 0
% # Negative unit clauses : 90
% # Non-unit-clauses : 917
% # Current number of unprocessed clauses: 33429
% # ...number of literals in the above : 221563
% # Clause-clause subsumption calls (NU) : 62827
% # Rec. Clause-clause subsumption calls : 25843
% # Unit Clause-clause subsumption calls : 6020
% # Rewrite failures with RHS unbound : 0
% # Indexed BW rewrite attempts : 469
% # Indexed BW rewrite successes : 32
% # Backwards rewriting index: 910 leaves, 1.24+/-1.449 terms/leaf
% # Paramod-from index: 501 leaves, 1.18+/-1.599 terms/leaf
% # Paramod-into index: 716 leaves, 1.23+/-1.535 terms/leaf
% # -------------------------------------------------
% # User time : 2.348 s
% # System time : 0.084 s
% # Total time : 2.432 s
% # Maximum resident set size: 0 pages
% PrfWatch: 4.30 CPU 4.44 WC
% FINAL PrfWatch: 4.30 CPU 4.44 WC
% SZS output end Solution for /tmp/SystemOnTPTP11853/NUM513+3.tptp
%
%------------------------------------------------------------------------------