TSTP Solution File: NUM477+1 by SRASS---0.1
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- Process Solution
%------------------------------------------------------------------------------
% File : SRASS---0.1
% Problem : NUM477+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 : 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 19:26:51 EST 2010
% Result : Theorem 5.84s
% Output : Solution 5.84s
% 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/SystemOnTPTP28354/NUM477+1.tptp
% Adding relevance values
% Extracting the conjecture
% Sorting axioms by relevance
% Looking for THM ...
% found
% SZS status THM for /tmp/SystemOnTPTP28354/NUM477+1.tptp
% SZS output start Solution for /tmp/SystemOnTPTP28354/NUM477+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 28450
% TreeLimitedRun: ----------------------------------------------------------
% PrfWatch: 0.00 CPU 0.02 WC
% PrfWatch: 1.92 CPU 2.03 WC
% # Preprocessing time : 0.019 s
% # Problem is unsatisfiable (or provable), constructing proof object
% # SZS status Theorem
% PrfWatch: 3.90 CPU 4.04 WC
% # SZS output start CNFRefutation.
% fof(1, axiom,aNaturalNumber0(sz00),file('/tmp/SRASS.s.p', mSortsC)).
% fof(2, axiom,![X1]:(aNaturalNumber0(X1)=>sdtlseqdt0(X1,X1)),file('/tmp/SRASS.s.p', mLERefl)).
% fof(7, axiom,(aNaturalNumber0(xm)&aNaturalNumber0(xn)),file('/tmp/SRASS.s.p', m__1494)).
% fof(8, axiom,(doDivides0(xm,xn)&~(xn=sz00)),file('/tmp/SRASS.s.p', m__1494_04)).
% fof(10, axiom,![X1]:![X2]:((aNaturalNumber0(X1)&aNaturalNumber0(X2))=>(~(X1=sz00)=>sdtlseqdt0(X2,sdtasdt0(X2,X1)))),file('/tmp/SRASS.s.p', mMonMul2)).
% fof(12, axiom,![X1]:![X2]:((aNaturalNumber0(X1)&aNaturalNumber0(X2))=>(doDivides0(X1,X2)<=>?[X3]:(aNaturalNumber0(X3)&X2=sdtasdt0(X1,X3)))),file('/tmp/SRASS.s.p', mDefDiv)).
% fof(13, axiom,![X1]:(aNaturalNumber0(X1)=>(sdtpldt0(X1,sz00)=X1&X1=sdtpldt0(sz00,X1))),file('/tmp/SRASS.s.p', m_AddZero)).
% fof(14, axiom,![X1]:(aNaturalNumber0(X1)=>(sdtasdt0(X1,sz00)=sz00&sz00=sdtasdt0(sz00,X1))),file('/tmp/SRASS.s.p', m_MulZero)).
% fof(18, axiom,![X1]:![X2]:((aNaturalNumber0(X1)&aNaturalNumber0(X2))=>(sdtlseqdt0(X1,X2)<=>?[X3]:(aNaturalNumber0(X3)&sdtpldt0(X1,X3)=X2))),file('/tmp/SRASS.s.p', mDefLE)).
% fof(23, axiom,(aNaturalNumber0(sz10)&~(sz10=sz00)),file('/tmp/SRASS.s.p', mSortsC_01)).
% fof(25, axiom,![X1]:![X2]:((aNaturalNumber0(X1)&aNaturalNumber0(X2))=>aNaturalNumber0(sdtpldt0(X1,X2))),file('/tmp/SRASS.s.p', mSortsB)).
% fof(26, axiom,![X1]:![X2]:((aNaturalNumber0(X1)&aNaturalNumber0(X2))=>aNaturalNumber0(sdtasdt0(X1,X2))),file('/tmp/SRASS.s.p', mSortsB_02)).
% fof(28, axiom,![X1]:![X2]:![X3]:(((aNaturalNumber0(X1)&aNaturalNumber0(X2))&aNaturalNumber0(X3))=>sdtpldt0(sdtpldt0(X1,X2),X3)=sdtpldt0(X1,sdtpldt0(X2,X3))),file('/tmp/SRASS.s.p', mAddAsso)).
% fof(31, axiom,![X1]:![X2]:![X3]:(((aNaturalNumber0(X1)&aNaturalNumber0(X2))&aNaturalNumber0(X3))=>((sdtpldt0(X1,X2)=sdtpldt0(X1,X3)|sdtpldt0(X2,X1)=sdtpldt0(X3,X1))=>X2=X3)),file('/tmp/SRASS.s.p', mAddCanc)).
% fof(34, axiom,![X1]:![X2]:((aNaturalNumber0(X1)&aNaturalNumber0(X2))=>(sdtlseqdt0(X1,X2)=>![X3]:(X3=sdtmndt0(X2,X1)<=>(aNaturalNumber0(X3)&sdtpldt0(X1,X3)=X2)))),file('/tmp/SRASS.s.p', mDefDiff)).
% fof(35, axiom,![X1]:![X2]:![X3]:(((aNaturalNumber0(X1)&aNaturalNumber0(X2))&aNaturalNumber0(X3))=>(sdtasdt0(X1,sdtpldt0(X2,X3))=sdtpldt0(sdtasdt0(X1,X2),sdtasdt0(X1,X3))&sdtasdt0(sdtpldt0(X2,X3),X1)=sdtpldt0(sdtasdt0(X2,X1),sdtasdt0(X3,X1)))),file('/tmp/SRASS.s.p', mAMDistr)).
% fof(37, conjecture,sdtlseqdt0(xm,xn),file('/tmp/SRASS.s.p', m__)).
% fof(38, negated_conjecture,~(sdtlseqdt0(xm,xn)),inference(assume_negation,[status(cth)],[37])).
% fof(41, negated_conjecture,~(sdtlseqdt0(xm,xn)),inference(fof_simplification,[status(thm)],[38,theory(equality)])).
% cnf(42,plain,(aNaturalNumber0(sz00)),inference(split_conjunct,[status(thm)],[1])).
% fof(43, plain,![X1]:(~(aNaturalNumber0(X1))|sdtlseqdt0(X1,X1)),inference(fof_nnf,[status(thm)],[2])).
% fof(44, plain,![X2]:(~(aNaturalNumber0(X2))|sdtlseqdt0(X2,X2)),inference(variable_rename,[status(thm)],[43])).
% cnf(45,plain,(sdtlseqdt0(X1,X1)|~aNaturalNumber0(X1)),inference(split_conjunct,[status(thm)],[44])).
% cnf(60,plain,(aNaturalNumber0(xn)),inference(split_conjunct,[status(thm)],[7])).
% cnf(61,plain,(aNaturalNumber0(xm)),inference(split_conjunct,[status(thm)],[7])).
% cnf(62,plain,(xn!=sz00),inference(split_conjunct,[status(thm)],[8])).
% cnf(63,plain,(doDivides0(xm,xn)),inference(split_conjunct,[status(thm)],[8])).
% fof(71, plain,![X1]:![X2]:((~(aNaturalNumber0(X1))|~(aNaturalNumber0(X2)))|(X1=sz00|sdtlseqdt0(X2,sdtasdt0(X2,X1)))),inference(fof_nnf,[status(thm)],[10])).
% fof(72, plain,![X3]:![X4]:((~(aNaturalNumber0(X3))|~(aNaturalNumber0(X4)))|(X3=sz00|sdtlseqdt0(X4,sdtasdt0(X4,X3)))),inference(variable_rename,[status(thm)],[71])).
% cnf(73,plain,(sdtlseqdt0(X1,sdtasdt0(X1,X2))|X2=sz00|~aNaturalNumber0(X1)|~aNaturalNumber0(X2)),inference(split_conjunct,[status(thm)],[72])).
% fof(79, 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)],[12])).
% fof(80, 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)],[79])).
% fof(81, 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)],[80])).
% fof(82, 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)],[81])).
% fof(83, 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)],[82])).
% cnf(84,plain,(X1=sdtasdt0(X2,esk1_2(X2,X1))|~aNaturalNumber0(X1)|~aNaturalNumber0(X2)|~doDivides0(X2,X1)),inference(split_conjunct,[status(thm)],[83])).
% cnf(85,plain,(aNaturalNumber0(esk1_2(X2,X1))|~aNaturalNumber0(X1)|~aNaturalNumber0(X2)|~doDivides0(X2,X1)),inference(split_conjunct,[status(thm)],[83])).
% fof(87, plain,![X1]:(~(aNaturalNumber0(X1))|(sdtpldt0(X1,sz00)=X1&X1=sdtpldt0(sz00,X1))),inference(fof_nnf,[status(thm)],[13])).
% fof(88, plain,![X2]:(~(aNaturalNumber0(X2))|(sdtpldt0(X2,sz00)=X2&X2=sdtpldt0(sz00,X2))),inference(variable_rename,[status(thm)],[87])).
% fof(89, plain,![X2]:((sdtpldt0(X2,sz00)=X2|~(aNaturalNumber0(X2)))&(X2=sdtpldt0(sz00,X2)|~(aNaturalNumber0(X2)))),inference(distribute,[status(thm)],[88])).
% cnf(90,plain,(X1=sdtpldt0(sz00,X1)|~aNaturalNumber0(X1)),inference(split_conjunct,[status(thm)],[89])).
% cnf(91,plain,(sdtpldt0(X1,sz00)=X1|~aNaturalNumber0(X1)),inference(split_conjunct,[status(thm)],[89])).
% fof(92, plain,![X1]:(~(aNaturalNumber0(X1))|(sdtasdt0(X1,sz00)=sz00&sz00=sdtasdt0(sz00,X1))),inference(fof_nnf,[status(thm)],[14])).
% fof(93, plain,![X2]:(~(aNaturalNumber0(X2))|(sdtasdt0(X2,sz00)=sz00&sz00=sdtasdt0(sz00,X2))),inference(variable_rename,[status(thm)],[92])).
% fof(94, plain,![X2]:((sdtasdt0(X2,sz00)=sz00|~(aNaturalNumber0(X2)))&(sz00=sdtasdt0(sz00,X2)|~(aNaturalNumber0(X2)))),inference(distribute,[status(thm)],[93])).
% cnf(95,plain,(sz00=sdtasdt0(sz00,X1)|~aNaturalNumber0(X1)),inference(split_conjunct,[status(thm)],[94])).
% fof(111, 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)],[18])).
% fof(112, 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)],[111])).
% fof(113, plain,![X4]:![X5]:((~(aNaturalNumber0(X4))|~(aNaturalNumber0(X5)))|((~(sdtlseqdt0(X4,X5))|(aNaturalNumber0(esk2_2(X4,X5))&sdtpldt0(X4,esk2_2(X4,X5))=X5))&(![X7]:(~(aNaturalNumber0(X7))|~(sdtpldt0(X4,X7)=X5))|sdtlseqdt0(X4,X5)))),inference(skolemize,[status(esa)],[112])).
% fof(114, plain,![X4]:![X5]:![X7]:((((~(aNaturalNumber0(X7))|~(sdtpldt0(X4,X7)=X5))|sdtlseqdt0(X4,X5))&(~(sdtlseqdt0(X4,X5))|(aNaturalNumber0(esk2_2(X4,X5))&sdtpldt0(X4,esk2_2(X4,X5))=X5)))|(~(aNaturalNumber0(X4))|~(aNaturalNumber0(X5)))),inference(shift_quantors,[status(thm)],[113])).
% fof(115, plain,![X4]:![X5]:![X7]:((((~(aNaturalNumber0(X7))|~(sdtpldt0(X4,X7)=X5))|sdtlseqdt0(X4,X5))|(~(aNaturalNumber0(X4))|~(aNaturalNumber0(X5))))&(((aNaturalNumber0(esk2_2(X4,X5))|~(sdtlseqdt0(X4,X5)))|(~(aNaturalNumber0(X4))|~(aNaturalNumber0(X5))))&((sdtpldt0(X4,esk2_2(X4,X5))=X5|~(sdtlseqdt0(X4,X5)))|(~(aNaturalNumber0(X4))|~(aNaturalNumber0(X5)))))),inference(distribute,[status(thm)],[114])).
% cnf(118,plain,(sdtlseqdt0(X2,X1)|~aNaturalNumber0(X1)|~aNaturalNumber0(X2)|sdtpldt0(X2,X3)!=X1|~aNaturalNumber0(X3)),inference(split_conjunct,[status(thm)],[115])).
% cnf(140,plain,(sz10!=sz00),inference(split_conjunct,[status(thm)],[23])).
% cnf(141,plain,(aNaturalNumber0(sz10)),inference(split_conjunct,[status(thm)],[23])).
% fof(145, plain,![X1]:![X2]:((~(aNaturalNumber0(X1))|~(aNaturalNumber0(X2)))|aNaturalNumber0(sdtpldt0(X1,X2))),inference(fof_nnf,[status(thm)],[25])).
% fof(146, plain,![X3]:![X4]:((~(aNaturalNumber0(X3))|~(aNaturalNumber0(X4)))|aNaturalNumber0(sdtpldt0(X3,X4))),inference(variable_rename,[status(thm)],[145])).
% cnf(147,plain,(aNaturalNumber0(sdtpldt0(X1,X2))|~aNaturalNumber0(X2)|~aNaturalNumber0(X1)),inference(split_conjunct,[status(thm)],[146])).
% fof(148, plain,![X1]:![X2]:((~(aNaturalNumber0(X1))|~(aNaturalNumber0(X2)))|aNaturalNumber0(sdtasdt0(X1,X2))),inference(fof_nnf,[status(thm)],[26])).
% fof(149, plain,![X3]:![X4]:((~(aNaturalNumber0(X3))|~(aNaturalNumber0(X4)))|aNaturalNumber0(sdtasdt0(X3,X4))),inference(variable_rename,[status(thm)],[148])).
% cnf(150,plain,(aNaturalNumber0(sdtasdt0(X1,X2))|~aNaturalNumber0(X2)|~aNaturalNumber0(X1)),inference(split_conjunct,[status(thm)],[149])).
% fof(154, plain,![X1]:![X2]:![X3]:(((~(aNaturalNumber0(X1))|~(aNaturalNumber0(X2)))|~(aNaturalNumber0(X3)))|sdtpldt0(sdtpldt0(X1,X2),X3)=sdtpldt0(X1,sdtpldt0(X2,X3))),inference(fof_nnf,[status(thm)],[28])).
% fof(155, plain,![X4]:![X5]:![X6]:(((~(aNaturalNumber0(X4))|~(aNaturalNumber0(X5)))|~(aNaturalNumber0(X6)))|sdtpldt0(sdtpldt0(X4,X5),X6)=sdtpldt0(X4,sdtpldt0(X5,X6))),inference(variable_rename,[status(thm)],[154])).
% cnf(156,plain,(sdtpldt0(sdtpldt0(X1,X2),X3)=sdtpldt0(X1,sdtpldt0(X2,X3))|~aNaturalNumber0(X3)|~aNaturalNumber0(X2)|~aNaturalNumber0(X1)),inference(split_conjunct,[status(thm)],[155])).
% fof(163, plain,![X1]:![X2]:![X3]:(((~(aNaturalNumber0(X1))|~(aNaturalNumber0(X2)))|~(aNaturalNumber0(X3)))|((~(sdtpldt0(X1,X2)=sdtpldt0(X1,X3))&~(sdtpldt0(X2,X1)=sdtpldt0(X3,X1)))|X2=X3)),inference(fof_nnf,[status(thm)],[31])).
% fof(164, plain,![X4]:![X5]:![X6]:(((~(aNaturalNumber0(X4))|~(aNaturalNumber0(X5)))|~(aNaturalNumber0(X6)))|((~(sdtpldt0(X4,X5)=sdtpldt0(X4,X6))&~(sdtpldt0(X5,X4)=sdtpldt0(X6,X4)))|X5=X6)),inference(variable_rename,[status(thm)],[163])).
% fof(165, plain,![X4]:![X5]:![X6]:(((~(sdtpldt0(X4,X5)=sdtpldt0(X4,X6))|X5=X6)|((~(aNaturalNumber0(X4))|~(aNaturalNumber0(X5)))|~(aNaturalNumber0(X6))))&((~(sdtpldt0(X5,X4)=sdtpldt0(X6,X4))|X5=X6)|((~(aNaturalNumber0(X4))|~(aNaturalNumber0(X5)))|~(aNaturalNumber0(X6))))),inference(distribute,[status(thm)],[164])).
% cnf(167,plain,(X2=X1|~aNaturalNumber0(X1)|~aNaturalNumber0(X2)|~aNaturalNumber0(X3)|sdtpldt0(X3,X2)!=sdtpldt0(X3,X1)),inference(split_conjunct,[status(thm)],[165])).
% fof(175, plain,![X1]:![X2]:((~(aNaturalNumber0(X1))|~(aNaturalNumber0(X2)))|(~(sdtlseqdt0(X1,X2))|![X3]:((~(X3=sdtmndt0(X2,X1))|(aNaturalNumber0(X3)&sdtpldt0(X1,X3)=X2))&((~(aNaturalNumber0(X3))|~(sdtpldt0(X1,X3)=X2))|X3=sdtmndt0(X2,X1))))),inference(fof_nnf,[status(thm)],[34])).
% fof(176, plain,![X4]:![X5]:((~(aNaturalNumber0(X4))|~(aNaturalNumber0(X5)))|(~(sdtlseqdt0(X4,X5))|![X6]:((~(X6=sdtmndt0(X5,X4))|(aNaturalNumber0(X6)&sdtpldt0(X4,X6)=X5))&((~(aNaturalNumber0(X6))|~(sdtpldt0(X4,X6)=X5))|X6=sdtmndt0(X5,X4))))),inference(variable_rename,[status(thm)],[175])).
% fof(177, plain,![X4]:![X5]:![X6]:((((~(X6=sdtmndt0(X5,X4))|(aNaturalNumber0(X6)&sdtpldt0(X4,X6)=X5))&((~(aNaturalNumber0(X6))|~(sdtpldt0(X4,X6)=X5))|X6=sdtmndt0(X5,X4)))|~(sdtlseqdt0(X4,X5)))|(~(aNaturalNumber0(X4))|~(aNaturalNumber0(X5)))),inference(shift_quantors,[status(thm)],[176])).
% fof(178, plain,![X4]:![X5]:![X6]:(((((aNaturalNumber0(X6)|~(X6=sdtmndt0(X5,X4)))|~(sdtlseqdt0(X4,X5)))|(~(aNaturalNumber0(X4))|~(aNaturalNumber0(X5))))&(((sdtpldt0(X4,X6)=X5|~(X6=sdtmndt0(X5,X4)))|~(sdtlseqdt0(X4,X5)))|(~(aNaturalNumber0(X4))|~(aNaturalNumber0(X5)))))&((((~(aNaturalNumber0(X6))|~(sdtpldt0(X4,X6)=X5))|X6=sdtmndt0(X5,X4))|~(sdtlseqdt0(X4,X5)))|(~(aNaturalNumber0(X4))|~(aNaturalNumber0(X5))))),inference(distribute,[status(thm)],[177])).
% cnf(179,plain,(X3=sdtmndt0(X1,X2)|~aNaturalNumber0(X1)|~aNaturalNumber0(X2)|~sdtlseqdt0(X2,X1)|sdtpldt0(X2,X3)!=X1|~aNaturalNumber0(X3)),inference(split_conjunct,[status(thm)],[178])).
% cnf(180,plain,(sdtpldt0(X2,X3)=X1|~aNaturalNumber0(X1)|~aNaturalNumber0(X2)|~sdtlseqdt0(X2,X1)|X3!=sdtmndt0(X1,X2)),inference(split_conjunct,[status(thm)],[178])).
% cnf(181,plain,(aNaturalNumber0(X3)|~aNaturalNumber0(X1)|~aNaturalNumber0(X2)|~sdtlseqdt0(X2,X1)|X3!=sdtmndt0(X1,X2)),inference(split_conjunct,[status(thm)],[178])).
% fof(182, plain,![X1]:![X2]:![X3]:(((~(aNaturalNumber0(X1))|~(aNaturalNumber0(X2)))|~(aNaturalNumber0(X3)))|(sdtasdt0(X1,sdtpldt0(X2,X3))=sdtpldt0(sdtasdt0(X1,X2),sdtasdt0(X1,X3))&sdtasdt0(sdtpldt0(X2,X3),X1)=sdtpldt0(sdtasdt0(X2,X1),sdtasdt0(X3,X1)))),inference(fof_nnf,[status(thm)],[35])).
% fof(183, plain,![X4]:![X5]:![X6]:(((~(aNaturalNumber0(X4))|~(aNaturalNumber0(X5)))|~(aNaturalNumber0(X6)))|(sdtasdt0(X4,sdtpldt0(X5,X6))=sdtpldt0(sdtasdt0(X4,X5),sdtasdt0(X4,X6))&sdtasdt0(sdtpldt0(X5,X6),X4)=sdtpldt0(sdtasdt0(X5,X4),sdtasdt0(X6,X4)))),inference(variable_rename,[status(thm)],[182])).
% fof(184, plain,![X4]:![X5]:![X6]:((sdtasdt0(X4,sdtpldt0(X5,X6))=sdtpldt0(sdtasdt0(X4,X5),sdtasdt0(X4,X6))|((~(aNaturalNumber0(X4))|~(aNaturalNumber0(X5)))|~(aNaturalNumber0(X6))))&(sdtasdt0(sdtpldt0(X5,X6),X4)=sdtpldt0(sdtasdt0(X5,X4),sdtasdt0(X6,X4))|((~(aNaturalNumber0(X4))|~(aNaturalNumber0(X5)))|~(aNaturalNumber0(X6))))),inference(distribute,[status(thm)],[183])).
% cnf(186,plain,(sdtasdt0(X3,sdtpldt0(X2,X1))=sdtpldt0(sdtasdt0(X3,X2),sdtasdt0(X3,X1))|~aNaturalNumber0(X1)|~aNaturalNumber0(X2)|~aNaturalNumber0(X3)),inference(split_conjunct,[status(thm)],[184])).
% cnf(189,negated_conjecture,(~sdtlseqdt0(xm,xn)),inference(split_conjunct,[status(thm)],[41])).
% cnf(191,plain,(sdtmndt0(X1,X2)=X3|sdtpldt0(X2,X3)!=X1|~aNaturalNumber0(X3)|~aNaturalNumber0(X2)|~aNaturalNumber0(X1)),inference(csr,[status(thm)],[179,118])).
% cnf(278,plain,(sz00=X1|sdtlseqdt0(sz00,sz00)|~aNaturalNumber0(X1)|~aNaturalNumber0(sz00)),inference(spm,[status(thm)],[73,95,theory(equality)])).
% cnf(284,plain,(sz00=X1|sdtlseqdt0(sz00,sz00)|~aNaturalNumber0(X1)|$false),inference(rw,[status(thm)],[278,42,theory(equality)])).
% cnf(285,plain,(sz00=X1|sdtlseqdt0(sz00,sz00)|~aNaturalNumber0(X1)),inference(cn,[status(thm)],[284,theory(equality)])).
% cnf(322,plain,(X1=sz00|sdtpldt0(X2,X1)!=X2|~aNaturalNumber0(X2)|~aNaturalNumber0(sz00)|~aNaturalNumber0(X1)),inference(spm,[status(thm)],[167,91,theory(equality)])).
% cnf(332,plain,(X1=sz00|sdtpldt0(X2,X1)!=X2|~aNaturalNumber0(X2)|$false|~aNaturalNumber0(X1)),inference(rw,[status(thm)],[322,42,theory(equality)])).
% cnf(333,plain,(X1=sz00|sdtpldt0(X2,X1)!=X2|~aNaturalNumber0(X2)|~aNaturalNumber0(X1)),inference(cn,[status(thm)],[332,theory(equality)])).
% cnf(345,plain,(sz00=esk1_2(X1,X2)|sdtlseqdt0(X1,X2)|~aNaturalNumber0(esk1_2(X1,X2))|~aNaturalNumber0(X1)|~doDivides0(X1,X2)|~aNaturalNumber0(X2)),inference(spm,[status(thm)],[73,84,theory(equality)])).
% cnf(450,plain,(sdtmndt0(sdtpldt0(X1,X2),X1)=X2|~aNaturalNumber0(X2)|~aNaturalNumber0(X1)|~aNaturalNumber0(sdtpldt0(X1,X2))),inference(er,[status(thm)],[191,theory(equality)])).
% cnf(453,plain,(sdtmndt0(X1,X2)=sz00|X2!=X1|~aNaturalNumber0(sz00)|~aNaturalNumber0(X2)|~aNaturalNumber0(X1)),inference(spm,[status(thm)],[191,91,theory(equality)])).
% cnf(460,plain,(sdtmndt0(X1,X2)=sz00|X2!=X1|$false|~aNaturalNumber0(X2)|~aNaturalNumber0(X1)),inference(rw,[status(thm)],[453,42,theory(equality)])).
% cnf(461,plain,(sdtmndt0(X1,X2)=sz00|X2!=X1|~aNaturalNumber0(X2)|~aNaturalNumber0(X1)),inference(cn,[status(thm)],[460,theory(equality)])).
% cnf(462,plain,(sdtmndt0(X1,X1)=sz00|~aNaturalNumber0(X1)),inference(er,[status(thm)],[461,theory(equality)])).
% cnf(538,plain,(sdtpldt0(X1,sdtpldt0(X2,sz00))=sdtpldt0(X1,X2)|~aNaturalNumber0(sdtpldt0(X1,X2))|~aNaturalNumber0(sz00)|~aNaturalNumber0(X2)|~aNaturalNumber0(X1)),inference(spm,[status(thm)],[91,156,theory(equality)])).
% cnf(555,plain,(sdtpldt0(X1,X2)=sdtpldt0(sz00,sdtpldt0(X1,X2))|~aNaturalNumber0(X2)|~aNaturalNumber0(X1)|~aNaturalNumber0(sz00)),inference(spm,[status(thm)],[156,90,theory(equality)])).
% cnf(560,plain,(sdtpldt0(X1,sdtpldt0(X2,sz00))=sdtpldt0(X1,X2)|~aNaturalNumber0(sdtpldt0(X1,X2))|$false|~aNaturalNumber0(X2)|~aNaturalNumber0(X1)),inference(rw,[status(thm)],[538,42,theory(equality)])).
% cnf(561,plain,(sdtpldt0(X1,sdtpldt0(X2,sz00))=sdtpldt0(X1,X2)|~aNaturalNumber0(sdtpldt0(X1,X2))|~aNaturalNumber0(X2)|~aNaturalNumber0(X1)),inference(cn,[status(thm)],[560,theory(equality)])).
% cnf(562,plain,(sdtpldt0(X1,X2)=sdtpldt0(sz00,sdtpldt0(X1,X2))|~aNaturalNumber0(X2)|~aNaturalNumber0(X1)|$false),inference(rw,[status(thm)],[555,42,theory(equality)])).
% cnf(563,plain,(sdtpldt0(X1,X2)=sdtpldt0(sz00,sdtpldt0(X1,X2))|~aNaturalNumber0(X2)|~aNaturalNumber0(X1)),inference(cn,[status(thm)],[562,theory(equality)])).
% cnf(1093,plain,(sz00=sz10|sdtlseqdt0(sz00,sz00)),inference(spm,[status(thm)],[285,141,theory(equality)])).
% cnf(1097,plain,(sdtlseqdt0(sz00,sz00)),inference(sr,[status(thm)],[1093,140,theory(equality)])).
% cnf(1255,plain,(aNaturalNumber0(X1)|sz00!=X1|~sdtlseqdt0(X2,X2)|~aNaturalNumber0(X2)),inference(spm,[status(thm)],[181,462,theory(equality)])).
% cnf(2202,plain,(aNaturalNumber0(X1)|sz00!=X1|~aNaturalNumber0(X2)),inference(csr,[status(thm)],[1255,45])).
% cnf(2207,plain,(aNaturalNumber0(X1)|sz00!=X1),inference(spm,[status(thm)],[2202,141,theory(equality)])).
% cnf(2262,plain,(sdtasdt0(X1,X2)=sz00|sdtasdt0(X1,sdtpldt0(X3,X2))!=sdtasdt0(X1,X3)|~aNaturalNumber0(sdtasdt0(X1,X3))|~aNaturalNumber0(sdtasdt0(X1,X2))|~aNaturalNumber0(X1)|~aNaturalNumber0(X3)|~aNaturalNumber0(X2)),inference(spm,[status(thm)],[333,186,theory(equality)])).
% cnf(3091,plain,(esk1_2(X1,X2)=sz00|sdtlseqdt0(X1,X2)|~doDivides0(X1,X2)|~aNaturalNumber0(X1)|~aNaturalNumber0(X2)),inference(csr,[status(thm)],[345,85])).
% cnf(3094,plain,(sdtasdt0(X1,sz00)=X2|sdtlseqdt0(X1,X2)|~doDivides0(X1,X2)|~aNaturalNumber0(X1)|~aNaturalNumber0(X2)),inference(spm,[status(thm)],[84,3091,theory(equality)])).
% cnf(4847,plain,(sdtmndt0(sdtpldt0(X1,X2),X1)=X2|~aNaturalNumber0(X2)|~aNaturalNumber0(X1)),inference(csr,[status(thm)],[450,147])).
% cnf(12220,plain,(sdtpldt0(X1,sdtpldt0(X2,sz00))=sdtpldt0(X1,X2)|~aNaturalNumber0(X2)|~aNaturalNumber0(X1)),inference(csr,[status(thm)],[561,147])).
% cnf(15544,plain,(sdtpldt0(X1,sz00)=sdtpldt0(sz00,X1)|~aNaturalNumber0(X1)|~aNaturalNumber0(sz00)),inference(spm,[status(thm)],[12220,563,theory(equality)])).
% cnf(15704,plain,(sdtpldt0(X1,sz00)=sdtpldt0(sz00,X1)|~aNaturalNumber0(X1)|$false),inference(rw,[status(thm)],[15544,42,theory(equality)])).
% cnf(15705,plain,(sdtpldt0(X1,sz00)=sdtpldt0(sz00,X1)|~aNaturalNumber0(X1)),inference(cn,[status(thm)],[15704,theory(equality)])).
% cnf(23029,plain,(sdtpldt0(sz00,sz00)=sz00|~aNaturalNumber0(sz00)),inference(spm,[status(thm)],[91,15705,theory(equality)])).
% cnf(23237,plain,(sdtpldt0(sz00,sz00)=sz00|$false),inference(rw,[status(thm)],[23029,42,theory(equality)])).
% cnf(23238,plain,(sdtpldt0(sz00,sz00)=sz00),inference(cn,[status(thm)],[23237,theory(equality)])).
% cnf(24212,plain,(sdtmndt0(sz00,sz00)=sz00|~aNaturalNumber0(sz00)),inference(spm,[status(thm)],[4847,23238,theory(equality)])).
% cnf(24311,plain,(sdtmndt0(sz00,sz00)=sz00|$false),inference(rw,[status(thm)],[24212,42,theory(equality)])).
% cnf(24312,plain,(sdtmndt0(sz00,sz00)=sz00),inference(cn,[status(thm)],[24311,theory(equality)])).
% cnf(24466,plain,(sdtpldt0(sz00,X1)=sz00|sz00!=X1|~sdtlseqdt0(sz00,sz00)|~aNaturalNumber0(sz00)),inference(spm,[status(thm)],[180,24312,theory(equality)])).
% cnf(24475,plain,(sdtpldt0(sz00,X1)=sz00|sz00!=X1|$false|~aNaturalNumber0(sz00)),inference(rw,[status(thm)],[24466,1097,theory(equality)])).
% cnf(24476,plain,(sdtpldt0(sz00,X1)=sz00|sz00!=X1|$false|$false),inference(rw,[status(thm)],[24475,42,theory(equality)])).
% cnf(24477,plain,(sdtpldt0(sz00,X1)=sz00|sz00!=X1),inference(cn,[status(thm)],[24476,theory(equality)])).
% cnf(90095,plain,(sdtasdt0(X1,X2)=sz00|sdtasdt0(X1,sdtpldt0(X3,X2))!=sdtasdt0(X1,X3)|~aNaturalNumber0(sdtasdt0(X1,X3))|~aNaturalNumber0(X1)|~aNaturalNumber0(X3)|~aNaturalNumber0(X2)),inference(csr,[status(thm)],[2262,150])).
% cnf(90096,plain,(sdtasdt0(X1,X2)=sz00|sdtasdt0(X1,sdtpldt0(X3,X2))!=sdtasdt0(X1,X3)|~aNaturalNumber0(X1)|~aNaturalNumber0(X3)|~aNaturalNumber0(X2)),inference(csr,[status(thm)],[90095,150])).
% cnf(90131,plain,(sdtasdt0(X1,X2)=sz00|~aNaturalNumber0(X1)|~aNaturalNumber0(sz00)|~aNaturalNumber0(X2)|sz00!=X2),inference(spm,[status(thm)],[90096,24477,theory(equality)])).
% cnf(90201,plain,(sdtasdt0(X1,X2)=sz00|~aNaturalNumber0(X1)|$false|~aNaturalNumber0(X2)|sz00!=X2),inference(rw,[status(thm)],[90131,42,theory(equality)])).
% cnf(90202,plain,(sdtasdt0(X1,X2)=sz00|~aNaturalNumber0(X1)|~aNaturalNumber0(X2)|sz00!=X2),inference(cn,[status(thm)],[90201,theory(equality)])).
% cnf(92011,plain,(sdtasdt0(X1,X2)=sz00|sz00!=X2|~aNaturalNumber0(X1)),inference(csr,[status(thm)],[90202,2207])).
% cnf(129546,plain,(sdtasdt0(xm,sz00)=xn|sdtlseqdt0(xm,xn)|~aNaturalNumber0(xm)|~aNaturalNumber0(xn)),inference(spm,[status(thm)],[3094,63,theory(equality)])).
% cnf(129658,plain,(sdtasdt0(xm,sz00)=xn|sdtlseqdt0(xm,xn)|$false|~aNaturalNumber0(xn)),inference(rw,[status(thm)],[129546,61,theory(equality)])).
% cnf(129659,plain,(sdtasdt0(xm,sz00)=xn|sdtlseqdt0(xm,xn)|$false|$false),inference(rw,[status(thm)],[129658,60,theory(equality)])).
% cnf(129660,plain,(sdtasdt0(xm,sz00)=xn|sdtlseqdt0(xm,xn)),inference(cn,[status(thm)],[129659,theory(equality)])).
% cnf(129661,plain,(sdtasdt0(xm,sz00)=xn),inference(sr,[status(thm)],[129660,189,theory(equality)])).
% cnf(130077,plain,(xn=sz00|~aNaturalNumber0(xm)),inference(spm,[status(thm)],[92011,129661,theory(equality)])).
% cnf(130338,plain,(xn=sz00|$false),inference(rw,[status(thm)],[130077,61,theory(equality)])).
% cnf(130339,plain,(xn=sz00),inference(cn,[status(thm)],[130338,theory(equality)])).
% cnf(130340,plain,($false),inference(sr,[status(thm)],[130339,62,theory(equality)])).
% cnf(130341,plain,($false),130340,['proof']).
% # SZS output end CNFRefutation
% # Processed clauses : 5286
% # ...of these trivial : 118
% # ...subsumed : 3837
% # ...remaining for further processing: 1331
% # Other redundant clauses eliminated : 127
% # Clauses deleted for lack of memory : 0
% # Backward-subsumed : 100
% # Backward-rewritten : 86
% # Generated clauses : 53095
% # ...of the previous two non-trivial : 48427
% # Contextual simplify-reflections : 2077
% # Paramodulations : 52906
% # Factorizations : 0
% # Equation resolutions : 186
% # Current number of processed clauses: 1086
% # Positive orientable unit clauses: 94
% # Positive unorientable unit clauses: 0
% # Negative unit clauses : 41
% # Non-unit-clauses : 951
% # Current number of unprocessed clauses: 39973
% # ...number of literals in the above : 251990
% # Clause-clause subsumption calls (NU) : 56953
% # Rec. Clause-clause subsumption calls : 26483
% # Unit Clause-clause subsumption calls : 583
% # Rewrite failures with RHS unbound : 0
% # Indexed BW rewrite attempts : 28
% # Indexed BW rewrite successes : 27
% # Backwards rewriting index: 896 leaves, 1.30+/-1.235 terms/leaf
% # Paramod-from index: 459 leaves, 1.11+/-0.436 terms/leaf
% # Paramod-into index: 602 leaves, 1.30+/-1.184 terms/leaf
% # -------------------------------------------------
% # User time : 2.628 s
% # System time : 0.100 s
% # Total time : 2.728 s
% # Maximum resident set size: 0 pages
% PrfWatch: 4.83 CPU 4.97 WC
% FINAL PrfWatch: 4.83 CPU 4.97 WC
% SZS output end Solution for /tmp/SystemOnTPTP28354/NUM477+1.tptp
%
%------------------------------------------------------------------------------