TSTP Solution File: NUM471+2 by SRASS---0.1
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- Process Solution
%------------------------------------------------------------------------------
% File : SRASS---0.1
% Problem : NUM471+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 : art04.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 19:23:59 EST 2010
% Result : Theorem 4.36s
% Output : Solution 4.36s
% 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/SystemOnTPTP27632/NUM471+2.tptp
% Adding relevance values
% Extracting the conjecture
% Sorting axioms by relevance
% Looking for THM ...
% found
% SZS status THM for /tmp/SystemOnTPTP27632/NUM471+2.tptp
% SZS output start Solution for /tmp/SystemOnTPTP27632/NUM471+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 27728
% TreeLimitedRun: ----------------------------------------------------------
% PrfWatch: 0.00 CPU 0.02 WC
% # Preprocessing time : 0.017 s
% PrfWatch: 1.95 CPU 2.02 WC
% # 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(6, axiom,![X1]:(aNaturalNumber0(X1)=>(sdtpldt0(X1,sz00)=X1&X1=sdtpldt0(sz00,X1))),file('/tmp/SRASS.s.p', m_AddZero)).
% 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))=>(sdtlseqdt0(X1,X2)<=>?[X3]:(aNaturalNumber0(X3)&sdtpldt0(X1,X3)=X2))),file('/tmp/SRASS.s.p', mDefLE)).
% fof(17, axiom,![X1]:![X2]:((aNaturalNumber0(X1)&aNaturalNumber0(X2))=>((sdtlseqdt0(X1,X2)&sdtlseqdt0(X2,X1))=>X1=X2)),file('/tmp/SRASS.s.p', mLEAsym)).
% fof(19, axiom,![X1]:![X2]:((aNaturalNumber0(X1)&aNaturalNumber0(X2))=>(sdtlseqdt0(X1,X2)|(~(X2=X1)&sdtlseqdt0(X2,X1)))),file('/tmp/SRASS.s.p', mLETotal)).
% fof(21, axiom,![X1]:![X2]:![X3]:(((aNaturalNumber0(X1)&aNaturalNumber0(X2))&aNaturalNumber0(X3))=>(((~(X1=sz00)&~(X2=X3))&sdtlseqdt0(X2,X3))=>(((~(sdtasdt0(X1,X2)=sdtasdt0(X1,X3))&sdtlseqdt0(sdtasdt0(X1,X2),sdtasdt0(X1,X3)))&~(sdtasdt0(X2,X1)=sdtasdt0(X3,X1)))&sdtlseqdt0(sdtasdt0(X2,X1),sdtasdt0(X3,X1))))),file('/tmp/SRASS.s.p', mMonMul)).
% fof(24, 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(27, axiom,((aNaturalNumber0(xl)&aNaturalNumber0(xm))&aNaturalNumber0(xn)),file('/tmp/SRASS.s.p', m__1324)).
% fof(28, axiom,(((?[X1]:(aNaturalNumber0(X1)&xm=sdtasdt0(xl,X1))&doDivides0(xl,xm))&?[X1]:(aNaturalNumber0(X1)&sdtpldt0(xm,xn)=sdtasdt0(xl,X1)))&doDivides0(xl,sdtpldt0(xm,xn))),file('/tmp/SRASS.s.p', m__1324_04)).
% fof(29, axiom,~(xl=sz00),file('/tmp/SRASS.s.p', m__1347)).
% fof(30, axiom,((aNaturalNumber0(xp)&xm=sdtasdt0(xl,xp))&xp=sdtsldt0(xm,xl)),file('/tmp/SRASS.s.p', m__1360)).
% fof(31, axiom,((aNaturalNumber0(xq)&sdtpldt0(xm,xn)=sdtasdt0(xl,xq))&xq=sdtsldt0(sdtpldt0(xm,xn),xl)),file('/tmp/SRASS.s.p', m__1379)).
% fof(39, conjecture,(?[X1]:(aNaturalNumber0(X1)&sdtpldt0(xp,X1)=xq)|sdtlseqdt0(xp,xq)),file('/tmp/SRASS.s.p', m__)).
% fof(40, negated_conjecture,~((?[X1]:(aNaturalNumber0(X1)&sdtpldt0(xp,X1)=xq)|sdtlseqdt0(xp,xq))),inference(assume_negation,[status(cth)],[39])).
% cnf(43,plain,(aNaturalNumber0(sz00)),inference(split_conjunct,[status(thm)],[1])).
% fof(44, plain,![X1]:![X2]:((~(aNaturalNumber0(X1))|~(aNaturalNumber0(X2)))|aNaturalNumber0(sdtpldt0(X1,X2))),inference(fof_nnf,[status(thm)],[2])).
% fof(45, plain,![X3]:![X4]:((~(aNaturalNumber0(X3))|~(aNaturalNumber0(X4)))|aNaturalNumber0(sdtpldt0(X3,X4))),inference(variable_rename,[status(thm)],[44])).
% cnf(46,plain,(aNaturalNumber0(sdtpldt0(X1,X2))|~aNaturalNumber0(X2)|~aNaturalNumber0(X1)),inference(split_conjunct,[status(thm)],[45])).
% fof(56, plain,![X1]:(~(aNaturalNumber0(X1))|(sdtpldt0(X1,sz00)=X1&X1=sdtpldt0(sz00,X1))),inference(fof_nnf,[status(thm)],[6])).
% fof(57, plain,![X2]:(~(aNaturalNumber0(X2))|(sdtpldt0(X2,sz00)=X2&X2=sdtpldt0(sz00,X2))),inference(variable_rename,[status(thm)],[56])).
% fof(58, plain,![X2]:((sdtpldt0(X2,sz00)=X2|~(aNaturalNumber0(X2)))&(X2=sdtpldt0(sz00,X2)|~(aNaturalNumber0(X2)))),inference(distribute,[status(thm)],[57])).
% cnf(60,plain,(sdtpldt0(X1,sz00)=X1|~aNaturalNumber0(X1)),inference(split_conjunct,[status(thm)],[58])).
% fof(82, 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(83, 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)],[82])).
% fof(84, 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)],[83])).
% fof(85, 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)],[84])).
% cnf(87,plain,(X1=sz00|X3=X2|~aNaturalNumber0(X1)|~aNaturalNumber0(X2)|~aNaturalNumber0(X3)|sdtasdt0(X1,X3)!=sdtasdt0(X1,X2)),inference(split_conjunct,[status(thm)],[85])).
% fof(96, plain,![X1]:![X2]:((~(aNaturalNumber0(X1))|~(aNaturalNumber0(X2)))|((~(sdtlseqdt0(X1,X2))|?[X3]:(aNaturalNumber0(X3)&sdtpldt0(X1,X3)=X2))&(![X3]:(~(aNaturalNumber0(X3))|~(sdtpldt0(X1,X3)=X2))|sdtlseqdt0(X1,X2)))),inference(fof_nnf,[status(thm)],[15])).
% fof(97, plain,![X4]:![X5]:((~(aNaturalNumber0(X4))|~(aNaturalNumber0(X5)))|((~(sdtlseqdt0(X4,X5))|?[X6]:(aNaturalNumber0(X6)&sdtpldt0(X4,X6)=X5))&(![X7]:(~(aNaturalNumber0(X7))|~(sdtpldt0(X4,X7)=X5))|sdtlseqdt0(X4,X5)))),inference(variable_rename,[status(thm)],[96])).
% fof(98, plain,![X4]:![X5]:((~(aNaturalNumber0(X4))|~(aNaturalNumber0(X5)))|((~(sdtlseqdt0(X4,X5))|(aNaturalNumber0(esk1_2(X4,X5))&sdtpldt0(X4,esk1_2(X4,X5))=X5))&(![X7]:(~(aNaturalNumber0(X7))|~(sdtpldt0(X4,X7)=X5))|sdtlseqdt0(X4,X5)))),inference(skolemize,[status(esa)],[97])).
% fof(99, plain,![X4]:![X5]:![X7]:((((~(aNaturalNumber0(X7))|~(sdtpldt0(X4,X7)=X5))|sdtlseqdt0(X4,X5))&(~(sdtlseqdt0(X4,X5))|(aNaturalNumber0(esk1_2(X4,X5))&sdtpldt0(X4,esk1_2(X4,X5))=X5)))|(~(aNaturalNumber0(X4))|~(aNaturalNumber0(X5)))),inference(shift_quantors,[status(thm)],[98])).
% fof(100, plain,![X4]:![X5]:![X7]:((((~(aNaturalNumber0(X7))|~(sdtpldt0(X4,X7)=X5))|sdtlseqdt0(X4,X5))|(~(aNaturalNumber0(X4))|~(aNaturalNumber0(X5))))&(((aNaturalNumber0(esk1_2(X4,X5))|~(sdtlseqdt0(X4,X5)))|(~(aNaturalNumber0(X4))|~(aNaturalNumber0(X5))))&((sdtpldt0(X4,esk1_2(X4,X5))=X5|~(sdtlseqdt0(X4,X5)))|(~(aNaturalNumber0(X4))|~(aNaturalNumber0(X5)))))),inference(distribute,[status(thm)],[99])).
% cnf(101,plain,(sdtpldt0(X2,esk1_2(X2,X1))=X1|~aNaturalNumber0(X1)|~aNaturalNumber0(X2)|~sdtlseqdt0(X2,X1)),inference(split_conjunct,[status(thm)],[100])).
% cnf(102,plain,(aNaturalNumber0(esk1_2(X2,X1))|~aNaturalNumber0(X1)|~aNaturalNumber0(X2)|~sdtlseqdt0(X2,X1)),inference(split_conjunct,[status(thm)],[100])).
% cnf(103,plain,(sdtlseqdt0(X2,X1)|~aNaturalNumber0(X1)|~aNaturalNumber0(X2)|sdtpldt0(X2,X3)!=X1|~aNaturalNumber0(X3)),inference(split_conjunct,[status(thm)],[100])).
% fof(107, plain,![X1]:![X2]:((~(aNaturalNumber0(X1))|~(aNaturalNumber0(X2)))|((~(sdtlseqdt0(X1,X2))|~(sdtlseqdt0(X2,X1)))|X1=X2)),inference(fof_nnf,[status(thm)],[17])).
% fof(108, plain,![X3]:![X4]:((~(aNaturalNumber0(X3))|~(aNaturalNumber0(X4)))|((~(sdtlseqdt0(X3,X4))|~(sdtlseqdt0(X4,X3)))|X3=X4)),inference(variable_rename,[status(thm)],[107])).
% cnf(109,plain,(X1=X2|~sdtlseqdt0(X2,X1)|~sdtlseqdt0(X1,X2)|~aNaturalNumber0(X2)|~aNaturalNumber0(X1)),inference(split_conjunct,[status(thm)],[108])).
% fof(113, plain,![X1]:![X2]:((~(aNaturalNumber0(X1))|~(aNaturalNumber0(X2)))|(sdtlseqdt0(X1,X2)|(~(X2=X1)&sdtlseqdt0(X2,X1)))),inference(fof_nnf,[status(thm)],[19])).
% fof(114, plain,![X3]:![X4]:((~(aNaturalNumber0(X3))|~(aNaturalNumber0(X4)))|(sdtlseqdt0(X3,X4)|(~(X4=X3)&sdtlseqdt0(X4,X3)))),inference(variable_rename,[status(thm)],[113])).
% fof(115, plain,![X3]:![X4]:(((~(X4=X3)|sdtlseqdt0(X3,X4))|(~(aNaturalNumber0(X3))|~(aNaturalNumber0(X4))))&((sdtlseqdt0(X4,X3)|sdtlseqdt0(X3,X4))|(~(aNaturalNumber0(X3))|~(aNaturalNumber0(X4))))),inference(distribute,[status(thm)],[114])).
% cnf(116,plain,(sdtlseqdt0(X2,X1)|sdtlseqdt0(X1,X2)|~aNaturalNumber0(X1)|~aNaturalNumber0(X2)),inference(split_conjunct,[status(thm)],[115])).
% fof(126, plain,![X1]:![X2]:![X3]:(((~(aNaturalNumber0(X1))|~(aNaturalNumber0(X2)))|~(aNaturalNumber0(X3)))|(((X1=sz00|X2=X3)|~(sdtlseqdt0(X2,X3)))|(((~(sdtasdt0(X1,X2)=sdtasdt0(X1,X3))&sdtlseqdt0(sdtasdt0(X1,X2),sdtasdt0(X1,X3)))&~(sdtasdt0(X2,X1)=sdtasdt0(X3,X1)))&sdtlseqdt0(sdtasdt0(X2,X1),sdtasdt0(X3,X1))))),inference(fof_nnf,[status(thm)],[21])).
% fof(127, plain,![X4]:![X5]:![X6]:(((~(aNaturalNumber0(X4))|~(aNaturalNumber0(X5)))|~(aNaturalNumber0(X6)))|(((X4=sz00|X5=X6)|~(sdtlseqdt0(X5,X6)))|(((~(sdtasdt0(X4,X5)=sdtasdt0(X4,X6))&sdtlseqdt0(sdtasdt0(X4,X5),sdtasdt0(X4,X6)))&~(sdtasdt0(X5,X4)=sdtasdt0(X6,X4)))&sdtlseqdt0(sdtasdt0(X5,X4),sdtasdt0(X6,X4))))),inference(variable_rename,[status(thm)],[126])).
% fof(128, plain,![X4]:![X5]:![X6]:(((((~(sdtasdt0(X4,X5)=sdtasdt0(X4,X6))|((X4=sz00|X5=X6)|~(sdtlseqdt0(X5,X6))))|((~(aNaturalNumber0(X4))|~(aNaturalNumber0(X5)))|~(aNaturalNumber0(X6))))&((sdtlseqdt0(sdtasdt0(X4,X5),sdtasdt0(X4,X6))|((X4=sz00|X5=X6)|~(sdtlseqdt0(X5,X6))))|((~(aNaturalNumber0(X4))|~(aNaturalNumber0(X5)))|~(aNaturalNumber0(X6)))))&((~(sdtasdt0(X5,X4)=sdtasdt0(X6,X4))|((X4=sz00|X5=X6)|~(sdtlseqdt0(X5,X6))))|((~(aNaturalNumber0(X4))|~(aNaturalNumber0(X5)))|~(aNaturalNumber0(X6)))))&((sdtlseqdt0(sdtasdt0(X5,X4),sdtasdt0(X6,X4))|((X4=sz00|X5=X6)|~(sdtlseqdt0(X5,X6))))|((~(aNaturalNumber0(X4))|~(aNaturalNumber0(X5)))|~(aNaturalNumber0(X6))))),inference(distribute,[status(thm)],[127])).
% cnf(131,plain,(X2=X1|X3=sz00|sdtlseqdt0(sdtasdt0(X3,X2),sdtasdt0(X3,X1))|~aNaturalNumber0(X1)|~aNaturalNumber0(X2)|~aNaturalNumber0(X3)|~sdtlseqdt0(X2,X1)),inference(split_conjunct,[status(thm)],[128])).
% fof(144, 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)],[24])).
% fof(145, 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)],[144])).
% fof(146, 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)],[145])).
% fof(147, 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)],[146])).
% cnf(150,plain,(X2=sz00|aNaturalNumber0(X3)|~aNaturalNumber0(X1)|~aNaturalNumber0(X2)|~doDivides0(X2,X1)|X3!=sdtsldt0(X1,X2)),inference(split_conjunct,[status(thm)],[147])).
% cnf(157,plain,(aNaturalNumber0(xn)),inference(split_conjunct,[status(thm)],[27])).
% cnf(158,plain,(aNaturalNumber0(xm)),inference(split_conjunct,[status(thm)],[27])).
% cnf(159,plain,(aNaturalNumber0(xl)),inference(split_conjunct,[status(thm)],[27])).
% fof(160, plain,(((?[X2]:(aNaturalNumber0(X2)&xm=sdtasdt0(xl,X2))&doDivides0(xl,xm))&?[X3]:(aNaturalNumber0(X3)&sdtpldt0(xm,xn)=sdtasdt0(xl,X3)))&doDivides0(xl,sdtpldt0(xm,xn))),inference(variable_rename,[status(thm)],[28])).
% fof(161, plain,((((aNaturalNumber0(esk3_0)&xm=sdtasdt0(xl,esk3_0))&doDivides0(xl,xm))&(aNaturalNumber0(esk4_0)&sdtpldt0(xm,xn)=sdtasdt0(xl,esk4_0)))&doDivides0(xl,sdtpldt0(xm,xn))),inference(skolemize,[status(esa)],[160])).
% cnf(162,plain,(doDivides0(xl,sdtpldt0(xm,xn))),inference(split_conjunct,[status(thm)],[161])).
% cnf(163,plain,(sdtpldt0(xm,xn)=sdtasdt0(xl,esk4_0)),inference(split_conjunct,[status(thm)],[161])).
% cnf(164,plain,(aNaturalNumber0(esk4_0)),inference(split_conjunct,[status(thm)],[161])).
% cnf(168,plain,(xl!=sz00),inference(split_conjunct,[status(thm)],[29])).
% cnf(170,plain,(xm=sdtasdt0(xl,xp)),inference(split_conjunct,[status(thm)],[30])).
% cnf(171,plain,(aNaturalNumber0(xp)),inference(split_conjunct,[status(thm)],[30])).
% cnf(172,plain,(xq=sdtsldt0(sdtpldt0(xm,xn),xl)),inference(split_conjunct,[status(thm)],[31])).
% cnf(173,plain,(sdtpldt0(xm,xn)=sdtasdt0(xl,xq)),inference(split_conjunct,[status(thm)],[31])).
% cnf(174,plain,(aNaturalNumber0(xq)),inference(split_conjunct,[status(thm)],[31])).
% fof(201, negated_conjecture,(![X1]:(~(aNaturalNumber0(X1))|~(sdtpldt0(xp,X1)=xq))&~(sdtlseqdt0(xp,xq))),inference(fof_nnf,[status(thm)],[40])).
% fof(202, negated_conjecture,(![X2]:(~(aNaturalNumber0(X2))|~(sdtpldt0(xp,X2)=xq))&~(sdtlseqdt0(xp,xq))),inference(variable_rename,[status(thm)],[201])).
% fof(203, negated_conjecture,![X2]:((~(aNaturalNumber0(X2))|~(sdtpldt0(xp,X2)=xq))&~(sdtlseqdt0(xp,xq))),inference(shift_quantors,[status(thm)],[202])).
% cnf(205,negated_conjecture,(sdtpldt0(xp,X1)!=xq|~aNaturalNumber0(X1)),inference(split_conjunct,[status(thm)],[203])).
% cnf(206,negated_conjecture,(xp!=xq|~aNaturalNumber0(sz00)|~aNaturalNumber0(xp)),inference(spm,[status(thm)],[205,60,theory(equality)])).
% cnf(207,negated_conjecture,(xp!=xq|$false|~aNaturalNumber0(xp)),inference(rw,[status(thm)],[206,43,theory(equality)])).
% cnf(208,negated_conjecture,(xp!=xq|$false|$false),inference(rw,[status(thm)],[207,171,theory(equality)])).
% cnf(209,negated_conjecture,(xp!=xq),inference(cn,[status(thm)],[208,theory(equality)])).
% cnf(216,plain,(aNaturalNumber0(sdtasdt0(xl,xq))|~aNaturalNumber0(xn)|~aNaturalNumber0(xm)),inference(spm,[status(thm)],[46,173,theory(equality)])).
% cnf(217,plain,(aNaturalNumber0(sdtasdt0(xl,xq))|$false|~aNaturalNumber0(xm)),inference(rw,[status(thm)],[216,157,theory(equality)])).
% cnf(218,plain,(aNaturalNumber0(sdtasdt0(xl,xq))|$false|$false),inference(rw,[status(thm)],[217,158,theory(equality)])).
% cnf(219,plain,(aNaturalNumber0(sdtasdt0(xl,xq))),inference(cn,[status(thm)],[218,theory(equality)])).
% cnf(220,plain,(sdtsldt0(sdtasdt0(xl,xq),xl)=xq),inference(rw,[status(thm)],[172,173,theory(equality)])).
% cnf(221,plain,(doDivides0(xl,sdtasdt0(xl,xq))),inference(rw,[status(thm)],[162,173,theory(equality)])).
% cnf(246,plain,(sdtasdt0(xl,esk4_0)=sdtasdt0(xl,xq)),inference(rw,[status(thm)],[163,173,theory(equality)])).
% cnf(294,plain,(aNaturalNumber0(esk1_2(X1,X2))|sdtlseqdt0(X2,X1)|~aNaturalNumber0(X1)|~aNaturalNumber0(X2)),inference(spm,[status(thm)],[102,116,theory(equality)])).
% cnf(303,plain,(sdtlseqdt0(X1,sdtpldt0(X1,X2))|~aNaturalNumber0(X2)|~aNaturalNumber0(X1)|~aNaturalNumber0(sdtpldt0(X1,X2))),inference(er,[status(thm)],[103,theory(equality)])).
% cnf(496,plain,(sdtpldt0(X1,esk1_2(X1,X2))=X2|sdtlseqdt0(X2,X1)|~aNaturalNumber0(X1)|~aNaturalNumber0(X2)),inference(spm,[status(thm)],[101,116,theory(equality)])).
% cnf(531,plain,(sz00=xl|aNaturalNumber0(X1)|xq!=X1|~doDivides0(xl,sdtasdt0(xl,xq))|~aNaturalNumber0(xl)|~aNaturalNumber0(sdtasdt0(xl,xq))),inference(spm,[status(thm)],[150,220,theory(equality)])).
% cnf(537,plain,(sz00=xl|aNaturalNumber0(X1)|xq!=X1|$false|~aNaturalNumber0(xl)|~aNaturalNumber0(sdtasdt0(xl,xq))),inference(rw,[status(thm)],[531,221,theory(equality)])).
% cnf(538,plain,(sz00=xl|aNaturalNumber0(X1)|xq!=X1|$false|$false|~aNaturalNumber0(sdtasdt0(xl,xq))),inference(rw,[status(thm)],[537,159,theory(equality)])).
% cnf(539,plain,(sz00=xl|aNaturalNumber0(X1)|xq!=X1|~aNaturalNumber0(sdtasdt0(xl,xq))),inference(cn,[status(thm)],[538,theory(equality)])).
% cnf(540,plain,(aNaturalNumber0(X1)|xq!=X1|~aNaturalNumber0(sdtasdt0(xl,xq))),inference(sr,[status(thm)],[539,168,theory(equality)])).
% cnf(635,plain,(sz00=xl|X1=esk4_0|sdtasdt0(xl,X1)!=sdtasdt0(xl,xq)|~aNaturalNumber0(esk4_0)|~aNaturalNumber0(X1)|~aNaturalNumber0(xl)),inference(spm,[status(thm)],[87,246,theory(equality)])).
% cnf(637,plain,(sz00=xl|X1=xp|sdtasdt0(xl,X1)!=xm|~aNaturalNumber0(xp)|~aNaturalNumber0(X1)|~aNaturalNumber0(xl)),inference(spm,[status(thm)],[87,170,theory(equality)])).
% cnf(653,plain,(sz00=xl|X1=esk4_0|sdtasdt0(xl,X1)!=sdtasdt0(xl,xq)|$false|~aNaturalNumber0(X1)|~aNaturalNumber0(xl)),inference(rw,[status(thm)],[635,164,theory(equality)])).
% cnf(654,plain,(sz00=xl|X1=esk4_0|sdtasdt0(xl,X1)!=sdtasdt0(xl,xq)|$false|~aNaturalNumber0(X1)|$false),inference(rw,[status(thm)],[653,159,theory(equality)])).
% cnf(655,plain,(sz00=xl|X1=esk4_0|sdtasdt0(xl,X1)!=sdtasdt0(xl,xq)|~aNaturalNumber0(X1)),inference(cn,[status(thm)],[654,theory(equality)])).
% cnf(656,plain,(X1=esk4_0|sdtasdt0(xl,X1)!=sdtasdt0(xl,xq)|~aNaturalNumber0(X1)),inference(sr,[status(thm)],[655,168,theory(equality)])).
% cnf(661,plain,(sz00=xl|X1=xp|sdtasdt0(xl,X1)!=xm|$false|~aNaturalNumber0(X1)|~aNaturalNumber0(xl)),inference(rw,[status(thm)],[637,171,theory(equality)])).
% cnf(662,plain,(sz00=xl|X1=xp|sdtasdt0(xl,X1)!=xm|$false|~aNaturalNumber0(X1)|$false),inference(rw,[status(thm)],[661,159,theory(equality)])).
% cnf(663,plain,(sz00=xl|X1=xp|sdtasdt0(xl,X1)!=xm|~aNaturalNumber0(X1)),inference(cn,[status(thm)],[662,theory(equality)])).
% cnf(664,plain,(X1=xp|sdtasdt0(xl,X1)!=xm|~aNaturalNumber0(X1)),inference(sr,[status(thm)],[663,168,theory(equality)])).
% cnf(1016,plain,(aNaturalNumber0(X1)|xq!=X1|$false),inference(rw,[status(thm)],[540,219,theory(equality)])).
% cnf(1017,plain,(aNaturalNumber0(X1)|xq!=X1),inference(cn,[status(thm)],[1016,theory(equality)])).
% cnf(1252,plain,(esk4_0=xp|sdtasdt0(xl,xq)!=xm|~aNaturalNumber0(esk4_0)),inference(spm,[status(thm)],[664,246,theory(equality)])).
% cnf(1264,plain,(esk4_0=xp|sdtasdt0(xl,xq)!=xm|$false),inference(rw,[status(thm)],[1252,164,theory(equality)])).
% cnf(1265,plain,(esk4_0=xp|sdtasdt0(xl,xq)!=xm),inference(cn,[status(thm)],[1264,theory(equality)])).
% cnf(1427,plain,(sdtlseqdt0(X1,sdtpldt0(X1,X2))|~aNaturalNumber0(X2)|~aNaturalNumber0(X1)),inference(csr,[status(thm)],[303,46])).
% cnf(1428,plain,(sdtpldt0(X1,X2)=X1|~sdtlseqdt0(sdtpldt0(X1,X2),X1)|~aNaturalNumber0(X1)|~aNaturalNumber0(sdtpldt0(X1,X2))|~aNaturalNumber0(X2)),inference(spm,[status(thm)],[109,1427,theory(equality)])).
% cnf(4451,negated_conjecture,(sdtlseqdt0(X1,xp)|X1!=xq|~aNaturalNumber0(esk1_2(xp,X1))|~aNaturalNumber0(xp)|~aNaturalNumber0(X1)),inference(spm,[status(thm)],[205,496,theory(equality)])).
% cnf(4496,negated_conjecture,(sdtlseqdt0(X1,xp)|X1!=xq|~aNaturalNumber0(esk1_2(xp,X1))|$false|~aNaturalNumber0(X1)),inference(rw,[status(thm)],[4451,171,theory(equality)])).
% cnf(4497,negated_conjecture,(sdtlseqdt0(X1,xp)|X1!=xq|~aNaturalNumber0(esk1_2(xp,X1))|~aNaturalNumber0(X1)),inference(cn,[status(thm)],[4496,theory(equality)])).
% cnf(4557,negated_conjecture,(sdtlseqdt0(X1,xp)|X1!=xq|~aNaturalNumber0(esk1_2(xp,X1))),inference(csr,[status(thm)],[4497,1017])).
% cnf(4558,negated_conjecture,(sdtlseqdt0(xq,xp)|~aNaturalNumber0(esk1_2(xp,xq))),inference(er,[status(thm)],[4557,theory(equality)])).
% cnf(4559,negated_conjecture,(sdtlseqdt0(xq,xp)|~aNaturalNumber0(xp)|~aNaturalNumber0(xq)),inference(spm,[status(thm)],[4558,294,theory(equality)])).
% cnf(4560,negated_conjecture,(sdtlseqdt0(xq,xp)|$false|~aNaturalNumber0(xq)),inference(rw,[status(thm)],[4559,171,theory(equality)])).
% cnf(4561,negated_conjecture,(sdtlseqdt0(xq,xp)|$false|$false),inference(rw,[status(thm)],[4560,174,theory(equality)])).
% cnf(4562,negated_conjecture,(sdtlseqdt0(xq,xp)),inference(cn,[status(thm)],[4561,theory(equality)])).
% cnf(4571,negated_conjecture,(sz00=X1|xp=xq|sdtlseqdt0(sdtasdt0(X1,xq),sdtasdt0(X1,xp))|~aNaturalNumber0(X1)|~aNaturalNumber0(xq)|~aNaturalNumber0(xp)),inference(spm,[status(thm)],[131,4562,theory(equality)])).
% cnf(4605,negated_conjecture,(sz00=X1|xp=xq|sdtlseqdt0(sdtasdt0(X1,xq),sdtasdt0(X1,xp))|~aNaturalNumber0(X1)|$false|~aNaturalNumber0(xp)),inference(rw,[status(thm)],[4571,174,theory(equality)])).
% cnf(4606,negated_conjecture,(sz00=X1|xp=xq|sdtlseqdt0(sdtasdt0(X1,xq),sdtasdt0(X1,xp))|~aNaturalNumber0(X1)|$false|$false),inference(rw,[status(thm)],[4605,171,theory(equality)])).
% cnf(4607,negated_conjecture,(sz00=X1|xp=xq|sdtlseqdt0(sdtasdt0(X1,xq),sdtasdt0(X1,xp))|~aNaturalNumber0(X1)),inference(cn,[status(thm)],[4606,theory(equality)])).
% cnf(4608,negated_conjecture,(sz00=X1|sdtlseqdt0(sdtasdt0(X1,xq),sdtasdt0(X1,xp))|~aNaturalNumber0(X1)),inference(sr,[status(thm)],[4607,209,theory(equality)])).
% cnf(13164,plain,(xq=esk4_0|~aNaturalNumber0(xq)),inference(er,[status(thm)],[656,theory(equality)])).
% cnf(13168,plain,(xq=esk4_0|$false),inference(rw,[status(thm)],[13164,174,theory(equality)])).
% cnf(13169,plain,(xq=esk4_0),inference(cn,[status(thm)],[13168,theory(equality)])).
% cnf(13180,plain,(xq=xp|sdtasdt0(xl,xq)!=xm),inference(rw,[status(thm)],[1265,13169,theory(equality)])).
% cnf(13181,plain,(sdtasdt0(xl,xq)!=xm),inference(sr,[status(thm)],[13180,209,theory(equality)])).
% cnf(46047,plain,(sdtpldt0(X1,X2)=X1|~sdtlseqdt0(sdtpldt0(X1,X2),X1)|~aNaturalNumber0(X2)|~aNaturalNumber0(X1)),inference(csr,[status(thm)],[1428,46])).
% cnf(46068,plain,(sdtasdt0(xl,xq)=xm|~sdtlseqdt0(sdtasdt0(xl,xq),xm)|~aNaturalNumber0(xm)|~aNaturalNumber0(xn)),inference(spm,[status(thm)],[46047,173,theory(equality)])).
% cnf(46199,plain,(sdtasdt0(xl,xq)=xm|~sdtlseqdt0(sdtasdt0(xl,xq),xm)|$false|~aNaturalNumber0(xn)),inference(rw,[status(thm)],[46068,158,theory(equality)])).
% cnf(46200,plain,(sdtasdt0(xl,xq)=xm|~sdtlseqdt0(sdtasdt0(xl,xq),xm)|$false|$false),inference(rw,[status(thm)],[46199,157,theory(equality)])).
% cnf(46201,plain,(sdtasdt0(xl,xq)=xm|~sdtlseqdt0(sdtasdt0(xl,xq),xm)),inference(cn,[status(thm)],[46200,theory(equality)])).
% cnf(46202,plain,(~sdtlseqdt0(sdtasdt0(xl,xq),xm)),inference(sr,[status(thm)],[46201,13181,theory(equality)])).
% cnf(114683,negated_conjecture,(sz00=xl|sdtlseqdt0(sdtasdt0(xl,xq),xm)|~aNaturalNumber0(xl)),inference(spm,[status(thm)],[4608,170,theory(equality)])).
% cnf(114701,negated_conjecture,(sz00=xl|sdtlseqdt0(sdtasdt0(xl,xq),xm)|$false),inference(rw,[status(thm)],[114683,159,theory(equality)])).
% cnf(114702,negated_conjecture,(sz00=xl|sdtlseqdt0(sdtasdt0(xl,xq),xm)),inference(cn,[status(thm)],[114701,theory(equality)])).
% cnf(114703,negated_conjecture,(sdtlseqdt0(sdtasdt0(xl,xq),xm)),inference(sr,[status(thm)],[114702,168,theory(equality)])).
% cnf(114704,negated_conjecture,($false),inference(sr,[status(thm)],[114703,46202,theory(equality)])).
% cnf(114705,negated_conjecture,($false),114704,['proof']).
% # SZS output end CNFRefutation
% # Processed clauses : 6930
% # ...of these trivial : 94
% # ...subsumed : 5238
% # ...remaining for further processing: 1598
% # Other redundant clauses eliminated : 80
% # Clauses deleted for lack of memory : 0
% # Backward-subsumed : 75
% # Backward-rewritten : 167
% # Generated clauses : 41525
% # ...of the previous two non-trivial : 38812
% # Contextual simplify-reflections : 576
% # Paramodulations : 41319
% # Factorizations : 12
% # Equation resolutions : 177
% # Current number of processed clauses: 1338
% # Positive orientable unit clauses: 302
% # Positive unorientable unit clauses: 0
% # Negative unit clauses : 271
% # Non-unit-clauses : 765
% # Current number of unprocessed clauses: 28728
% # ...number of literals in the above : 145431
% # Clause-clause subsumption calls (NU) : 89626
% # Rec. Clause-clause subsumption calls : 63972
% # Unit Clause-clause subsumption calls : 5622
% # Rewrite failures with RHS unbound : 0
% # Indexed BW rewrite attempts : 248
% # Indexed BW rewrite successes : 64
% # Backwards rewriting index: 985 leaves, 1.53+/-2.339 terms/leaf
% # Paramod-from index: 446 leaves, 1.28+/-0.867 terms/leaf
% # Paramod-into index: 899 leaves, 1.52+/-2.364 terms/leaf
% # -------------------------------------------------
% # User time : 1.816 s
% # System time : 0.064 s
% # Total time : 1.880 s
% # Maximum resident set size: 0 pages
% PrfWatch: 3.51 CPU 3.62 WC
% FINAL PrfWatch: 3.51 CPU 3.62 WC
% SZS output end Solution for /tmp/SystemOnTPTP27632/NUM471+2.tptp
%
%------------------------------------------------------------------------------