TSTP Solution File: NUM528+3 by SRASS---0.1
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- Process Solution
%------------------------------------------------------------------------------
% File : SRASS---0.1
% Problem : NUM528+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 19:55:28 EST 2010
% Result : Theorem 1.93s
% Output : Solution 1.93s
% 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/SystemOnTPTP17440/NUM528+3.tptp
% Adding relevance values
% Extracting the conjecture
% Sorting axioms by relevance
% Looking for THM ...
% found
% SZS status THM for /tmp/SystemOnTPTP17440/NUM528+3.tptp
% SZS output start Solution for /tmp/SystemOnTPTP17440/NUM528+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 17536
% TreeLimitedRun: ----------------------------------------------------------
% PrfWatch: 0.00 CPU 0.02 WC
% # Preprocessing time : 0.022 s
% # 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,(aNaturalNumber0(sz10)&~(sz10=sz00)),file('/tmp/SRASS.s.p', mSortsC_01)).
% fof(3, axiom,![X1]:![X2]:((aNaturalNumber0(X1)&aNaturalNumber0(X2))=>aNaturalNumber0(sdtpldt0(X1,X2))),file('/tmp/SRASS.s.p', mSortsB)).
% fof(4, axiom,![X1]:![X2]:((aNaturalNumber0(X1)&aNaturalNumber0(X2))=>aNaturalNumber0(sdtasdt0(X1,X2))),file('/tmp/SRASS.s.p', mSortsB_02)).
% fof(6, 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(7, axiom,![X1]:(aNaturalNumber0(X1)=>(sdtpldt0(X1,sz00)=X1&X1=sdtpldt0(sz00,X1))),file('/tmp/SRASS.s.p', m_AddZero)).
% fof(8, axiom,![X1]:![X2]:((aNaturalNumber0(X1)&aNaturalNumber0(X2))=>sdtasdt0(X1,X2)=sdtasdt0(X2,X1)),file('/tmp/SRASS.s.p', mMulComm)).
% fof(10, axiom,![X1]:(aNaturalNumber0(X1)=>(sdtasdt0(X1,sz10)=X1&X1=sdtasdt0(sz10,X1))),file('/tmp/SRASS.s.p', m_MulUnit)).
% 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(16, axiom,![X1]:![X2]:((aNaturalNumber0(X1)&aNaturalNumber0(X2))=>(sdtasdt0(X1,X2)=sz00=>(X1=sz00|X2=sz00))),file('/tmp/SRASS.s.p', mZeroMul)).
% fof(19, axiom,![X1]:![X2]:((aNaturalNumber0(X1)&aNaturalNumber0(X2))=>((sdtlseqdt0(X1,X2)&sdtlseqdt0(X2,X1))=>X1=X2)),file('/tmp/SRASS.s.p', mLEAsym)).
% fof(21, axiom,![X1]:![X2]:((aNaturalNumber0(X1)&aNaturalNumber0(X2))=>(sdtlseqdt0(X1,X2)|(~(X2=X1)&sdtlseqdt0(X2,X1)))),file('/tmp/SRASS.s.p', mLETotal)).
% fof(25, axiom,![X1]:![X2]:((aNaturalNumber0(X1)&aNaturalNumber0(X2))=>(~(X1=sz00)=>sdtlseqdt0(X2,sdtasdt0(X2,X1)))),file('/tmp/SRASS.s.p', mMonMul2)).
% fof(37, axiom,(((((aNaturalNumber0(xn)&aNaturalNumber0(xm))&aNaturalNumber0(xp))&~(xn=sz00))&~(xm=sz00))&~(xp=sz00)),file('/tmp/SRASS.s.p', m__2987)).
% fof(39, axiom,sdtasdt0(xp,sdtasdt0(xm,xm))=sdtasdt0(xn,xn),file('/tmp/SRASS.s.p', m__3014)).
% fof(40, axiom,((~(xp=sz10)&![X1]:((aNaturalNumber0(X1)&(?[X2]:(aNaturalNumber0(X2)&xp=sdtasdt0(X1,X2))|doDivides0(X1,xp)))=>(X1=sz10|X1=xp)))&isPrime0(xp)),file('/tmp/SRASS.s.p', m__3025)).
% fof(41, axiom,(((?[X1]:(aNaturalNumber0(X1)&sdtasdt0(xn,xn)=sdtasdt0(xp,X1))&doDivides0(xp,sdtasdt0(xn,xn)))&?[X1]:(aNaturalNumber0(X1)&xn=sdtasdt0(xp,X1)))&doDivides0(xp,xn)),file('/tmp/SRASS.s.p', m__3046)).
% fof(42, axiom,((aNaturalNumber0(xq)&xn=sdtasdt0(xp,xq))&xq=sdtsldt0(xn,xp)),file('/tmp/SRASS.s.p', m__3059)).
% fof(43, axiom,sdtasdt0(xm,xm)=sdtasdt0(xp,sdtasdt0(xq,xq)),file('/tmp/SRASS.s.p', m__3082)).
% fof(44, axiom,((?[X1]:(aNaturalNumber0(X1)&sdtpldt0(xn,X1)=xm)|sdtlseqdt0(xn,xm))=>(?[X1]:(aNaturalNumber0(X1)&sdtpldt0(sdtasdt0(xn,xn),X1)=sdtasdt0(xm,xm))&sdtlseqdt0(sdtasdt0(xn,xn),sdtasdt0(xm,xm)))),file('/tmp/SRASS.s.p', m__3152)).
% fof(48, conjecture,(~(xm=xn)&(?[X1]:(aNaturalNumber0(X1)&sdtpldt0(xm,X1)=xn)|sdtlseqdt0(xm,xn))),file('/tmp/SRASS.s.p', m__)).
% fof(49, negated_conjecture,~((~(xm=xn)&(?[X1]:(aNaturalNumber0(X1)&sdtpldt0(xm,X1)=xn)|sdtlseqdt0(xm,xn)))),inference(assume_negation,[status(cth)],[48])).
% cnf(52,plain,(aNaturalNumber0(sz00)),inference(split_conjunct,[status(thm)],[1])).
% cnf(54,plain,(aNaturalNumber0(sz10)),inference(split_conjunct,[status(thm)],[2])).
% fof(55, plain,![X1]:![X2]:((~(aNaturalNumber0(X1))|~(aNaturalNumber0(X2)))|aNaturalNumber0(sdtpldt0(X1,X2))),inference(fof_nnf,[status(thm)],[3])).
% fof(56, plain,![X3]:![X4]:((~(aNaturalNumber0(X3))|~(aNaturalNumber0(X4)))|aNaturalNumber0(sdtpldt0(X3,X4))),inference(variable_rename,[status(thm)],[55])).
% cnf(57,plain,(aNaturalNumber0(sdtpldt0(X1,X2))|~aNaturalNumber0(X2)|~aNaturalNumber0(X1)),inference(split_conjunct,[status(thm)],[56])).
% fof(58, plain,![X1]:![X2]:((~(aNaturalNumber0(X1))|~(aNaturalNumber0(X2)))|aNaturalNumber0(sdtasdt0(X1,X2))),inference(fof_nnf,[status(thm)],[4])).
% fof(59, plain,![X3]:![X4]:((~(aNaturalNumber0(X3))|~(aNaturalNumber0(X4)))|aNaturalNumber0(sdtasdt0(X3,X4))),inference(variable_rename,[status(thm)],[58])).
% cnf(60,plain,(aNaturalNumber0(sdtasdt0(X1,X2))|~aNaturalNumber0(X2)|~aNaturalNumber0(X1)),inference(split_conjunct,[status(thm)],[59])).
% fof(64, 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)],[6])).
% fof(65, 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)],[64])).
% cnf(66,plain,(sdtpldt0(sdtpldt0(X1,X2),X3)=sdtpldt0(X1,sdtpldt0(X2,X3))|~aNaturalNumber0(X3)|~aNaturalNumber0(X2)|~aNaturalNumber0(X1)),inference(split_conjunct,[status(thm)],[65])).
% fof(67, plain,![X1]:(~(aNaturalNumber0(X1))|(sdtpldt0(X1,sz00)=X1&X1=sdtpldt0(sz00,X1))),inference(fof_nnf,[status(thm)],[7])).
% fof(68, plain,![X2]:(~(aNaturalNumber0(X2))|(sdtpldt0(X2,sz00)=X2&X2=sdtpldt0(sz00,X2))),inference(variable_rename,[status(thm)],[67])).
% fof(69, plain,![X2]:((sdtpldt0(X2,sz00)=X2|~(aNaturalNumber0(X2)))&(X2=sdtpldt0(sz00,X2)|~(aNaturalNumber0(X2)))),inference(distribute,[status(thm)],[68])).
% cnf(70,plain,(X1=sdtpldt0(sz00,X1)|~aNaturalNumber0(X1)),inference(split_conjunct,[status(thm)],[69])).
% cnf(71,plain,(sdtpldt0(X1,sz00)=X1|~aNaturalNumber0(X1)),inference(split_conjunct,[status(thm)],[69])).
% fof(72, plain,![X1]:![X2]:((~(aNaturalNumber0(X1))|~(aNaturalNumber0(X2)))|sdtasdt0(X1,X2)=sdtasdt0(X2,X1)),inference(fof_nnf,[status(thm)],[8])).
% fof(73, plain,![X3]:![X4]:((~(aNaturalNumber0(X3))|~(aNaturalNumber0(X4)))|sdtasdt0(X3,X4)=sdtasdt0(X4,X3)),inference(variable_rename,[status(thm)],[72])).
% cnf(74,plain,(sdtasdt0(X1,X2)=sdtasdt0(X2,X1)|~aNaturalNumber0(X2)|~aNaturalNumber0(X1)),inference(split_conjunct,[status(thm)],[73])).
% fof(78, plain,![X1]:(~(aNaturalNumber0(X1))|(sdtasdt0(X1,sz10)=X1&X1=sdtasdt0(sz10,X1))),inference(fof_nnf,[status(thm)],[10])).
% fof(79, plain,![X2]:(~(aNaturalNumber0(X2))|(sdtasdt0(X2,sz10)=X2&X2=sdtasdt0(sz10,X2))),inference(variable_rename,[status(thm)],[78])).
% fof(80, plain,![X2]:((sdtasdt0(X2,sz10)=X2|~(aNaturalNumber0(X2)))&(X2=sdtasdt0(sz10,X2)|~(aNaturalNumber0(X2)))),inference(distribute,[status(thm)],[79])).
% cnf(81,plain,(X1=sdtasdt0(sz10,X1)|~aNaturalNumber0(X1)),inference(split_conjunct,[status(thm)],[80])).
% fof(98, 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(99, 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)],[98])).
% fof(100, 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)],[99])).
% fof(101, 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)],[100])).
% cnf(102,plain,(X1=sz00|X3=X2|~aNaturalNumber0(X1)|~aNaturalNumber0(X2)|~aNaturalNumber0(X3)|sdtasdt0(X3,X1)!=sdtasdt0(X2,X1)),inference(split_conjunct,[status(thm)],[101])).
% cnf(103,plain,(X1=sz00|X3=X2|~aNaturalNumber0(X1)|~aNaturalNumber0(X2)|~aNaturalNumber0(X3)|sdtasdt0(X1,X3)!=sdtasdt0(X1,X2)),inference(split_conjunct,[status(thm)],[101])).
% fof(109, plain,![X1]:![X2]:((~(aNaturalNumber0(X1))|~(aNaturalNumber0(X2)))|(~(sdtasdt0(X1,X2)=sz00)|(X1=sz00|X2=sz00))),inference(fof_nnf,[status(thm)],[16])).
% fof(110, plain,![X3]:![X4]:((~(aNaturalNumber0(X3))|~(aNaturalNumber0(X4)))|(~(sdtasdt0(X3,X4)=sz00)|(X3=sz00|X4=sz00))),inference(variable_rename,[status(thm)],[109])).
% cnf(111,plain,(X1=sz00|X2=sz00|sdtasdt0(X2,X1)!=sz00|~aNaturalNumber0(X1)|~aNaturalNumber0(X2)),inference(split_conjunct,[status(thm)],[110])).
% fof(123, plain,![X1]:![X2]:((~(aNaturalNumber0(X1))|~(aNaturalNumber0(X2)))|((~(sdtlseqdt0(X1,X2))|~(sdtlseqdt0(X2,X1)))|X1=X2)),inference(fof_nnf,[status(thm)],[19])).
% fof(124, plain,![X3]:![X4]:((~(aNaturalNumber0(X3))|~(aNaturalNumber0(X4)))|((~(sdtlseqdt0(X3,X4))|~(sdtlseqdt0(X4,X3)))|X3=X4)),inference(variable_rename,[status(thm)],[123])).
% cnf(125,plain,(X1=X2|~sdtlseqdt0(X2,X1)|~sdtlseqdt0(X1,X2)|~aNaturalNumber0(X2)|~aNaturalNumber0(X1)),inference(split_conjunct,[status(thm)],[124])).
% fof(129, plain,![X1]:![X2]:((~(aNaturalNumber0(X1))|~(aNaturalNumber0(X2)))|(sdtlseqdt0(X1,X2)|(~(X2=X1)&sdtlseqdt0(X2,X1)))),inference(fof_nnf,[status(thm)],[21])).
% fof(130, plain,![X3]:![X4]:((~(aNaturalNumber0(X3))|~(aNaturalNumber0(X4)))|(sdtlseqdt0(X3,X4)|(~(X4=X3)&sdtlseqdt0(X4,X3)))),inference(variable_rename,[status(thm)],[129])).
% fof(131, 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)],[130])).
% cnf(132,plain,(sdtlseqdt0(X2,X1)|sdtlseqdt0(X1,X2)|~aNaturalNumber0(X1)|~aNaturalNumber0(X2)),inference(split_conjunct,[status(thm)],[131])).
% fof(154, plain,![X1]:![X2]:((~(aNaturalNumber0(X1))|~(aNaturalNumber0(X2)))|(X1=sz00|sdtlseqdt0(X2,sdtasdt0(X2,X1)))),inference(fof_nnf,[status(thm)],[25])).
% fof(155, plain,![X3]:![X4]:((~(aNaturalNumber0(X3))|~(aNaturalNumber0(X4)))|(X3=sz00|sdtlseqdt0(X4,sdtasdt0(X4,X3)))),inference(variable_rename,[status(thm)],[154])).
% cnf(156,plain,(sdtlseqdt0(X1,sdtasdt0(X1,X2))|X2=sz00|~aNaturalNumber0(X1)|~aNaturalNumber0(X2)),inference(split_conjunct,[status(thm)],[155])).
% cnf(213,plain,(xp!=sz00),inference(split_conjunct,[status(thm)],[37])).
% cnf(214,plain,(xm!=sz00),inference(split_conjunct,[status(thm)],[37])).
% cnf(216,plain,(aNaturalNumber0(xp)),inference(split_conjunct,[status(thm)],[37])).
% cnf(217,plain,(aNaturalNumber0(xm)),inference(split_conjunct,[status(thm)],[37])).
% cnf(218,plain,(aNaturalNumber0(xn)),inference(split_conjunct,[status(thm)],[37])).
% cnf(230,plain,(sdtasdt0(xp,sdtasdt0(xm,xm))=sdtasdt0(xn,xn)),inference(split_conjunct,[status(thm)],[39])).
% fof(231, plain,((~(xp=sz10)&![X1]:((~(aNaturalNumber0(X1))|(![X2]:(~(aNaturalNumber0(X2))|~(xp=sdtasdt0(X1,X2)))&~(doDivides0(X1,xp))))|(X1=sz10|X1=xp)))&isPrime0(xp)),inference(fof_nnf,[status(thm)],[40])).
% fof(232, plain,((~(xp=sz10)&![X3]:((~(aNaturalNumber0(X3))|(![X4]:(~(aNaturalNumber0(X4))|~(xp=sdtasdt0(X3,X4)))&~(doDivides0(X3,xp))))|(X3=sz10|X3=xp)))&isPrime0(xp)),inference(variable_rename,[status(thm)],[231])).
% fof(233, plain,![X3]:![X4]:((((((~(aNaturalNumber0(X4))|~(xp=sdtasdt0(X3,X4)))&~(doDivides0(X3,xp)))|~(aNaturalNumber0(X3)))|(X3=sz10|X3=xp))&~(xp=sz10))&isPrime0(xp)),inference(shift_quantors,[status(thm)],[232])).
% fof(234, plain,![X3]:![X4]:((((((~(aNaturalNumber0(X4))|~(xp=sdtasdt0(X3,X4)))|~(aNaturalNumber0(X3)))|(X3=sz10|X3=xp))&((~(doDivides0(X3,xp))|~(aNaturalNumber0(X3)))|(X3=sz10|X3=xp)))&~(xp=sz10))&isPrime0(xp)),inference(distribute,[status(thm)],[233])).
% cnf(236,plain,(xp!=sz10),inference(split_conjunct,[status(thm)],[234])).
% fof(239, plain,(((?[X2]:(aNaturalNumber0(X2)&sdtasdt0(xn,xn)=sdtasdt0(xp,X2))&doDivides0(xp,sdtasdt0(xn,xn)))&?[X3]:(aNaturalNumber0(X3)&xn=sdtasdt0(xp,X3)))&doDivides0(xp,xn)),inference(variable_rename,[status(thm)],[41])).
% fof(240, plain,((((aNaturalNumber0(esk7_0)&sdtasdt0(xn,xn)=sdtasdt0(xp,esk7_0))&doDivides0(xp,sdtasdt0(xn,xn)))&(aNaturalNumber0(esk8_0)&xn=sdtasdt0(xp,esk8_0)))&doDivides0(xp,xn)),inference(skolemize,[status(esa)],[239])).
% cnf(245,plain,(sdtasdt0(xn,xn)=sdtasdt0(xp,esk7_0)),inference(split_conjunct,[status(thm)],[240])).
% cnf(246,plain,(aNaturalNumber0(esk7_0)),inference(split_conjunct,[status(thm)],[240])).
% cnf(249,plain,(aNaturalNumber0(xq)),inference(split_conjunct,[status(thm)],[42])).
% cnf(250,plain,(sdtasdt0(xm,xm)=sdtasdt0(xp,sdtasdt0(xq,xq))),inference(split_conjunct,[status(thm)],[43])).
% fof(251, plain,((![X1]:(~(aNaturalNumber0(X1))|~(sdtpldt0(xn,X1)=xm))&~(sdtlseqdt0(xn,xm)))|(?[X1]:(aNaturalNumber0(X1)&sdtpldt0(sdtasdt0(xn,xn),X1)=sdtasdt0(xm,xm))&sdtlseqdt0(sdtasdt0(xn,xn),sdtasdt0(xm,xm)))),inference(fof_nnf,[status(thm)],[44])).
% fof(252, plain,((![X2]:(~(aNaturalNumber0(X2))|~(sdtpldt0(xn,X2)=xm))&~(sdtlseqdt0(xn,xm)))|(?[X3]:(aNaturalNumber0(X3)&sdtpldt0(sdtasdt0(xn,xn),X3)=sdtasdt0(xm,xm))&sdtlseqdt0(sdtasdt0(xn,xn),sdtasdt0(xm,xm)))),inference(variable_rename,[status(thm)],[251])).
% fof(253, plain,((![X2]:(~(aNaturalNumber0(X2))|~(sdtpldt0(xn,X2)=xm))&~(sdtlseqdt0(xn,xm)))|((aNaturalNumber0(esk9_0)&sdtpldt0(sdtasdt0(xn,xn),esk9_0)=sdtasdt0(xm,xm))&sdtlseqdt0(sdtasdt0(xn,xn),sdtasdt0(xm,xm)))),inference(skolemize,[status(esa)],[252])).
% fof(254, plain,![X2]:(((~(aNaturalNumber0(X2))|~(sdtpldt0(xn,X2)=xm))&~(sdtlseqdt0(xn,xm)))|((aNaturalNumber0(esk9_0)&sdtpldt0(sdtasdt0(xn,xn),esk9_0)=sdtasdt0(xm,xm))&sdtlseqdt0(sdtasdt0(xn,xn),sdtasdt0(xm,xm)))),inference(shift_quantors,[status(thm)],[253])).
% fof(255, plain,![X2]:((((aNaturalNumber0(esk9_0)|(~(aNaturalNumber0(X2))|~(sdtpldt0(xn,X2)=xm)))&(sdtpldt0(sdtasdt0(xn,xn),esk9_0)=sdtasdt0(xm,xm)|(~(aNaturalNumber0(X2))|~(sdtpldt0(xn,X2)=xm))))&(sdtlseqdt0(sdtasdt0(xn,xn),sdtasdt0(xm,xm))|(~(aNaturalNumber0(X2))|~(sdtpldt0(xn,X2)=xm))))&(((aNaturalNumber0(esk9_0)|~(sdtlseqdt0(xn,xm)))&(sdtpldt0(sdtasdt0(xn,xn),esk9_0)=sdtasdt0(xm,xm)|~(sdtlseqdt0(xn,xm))))&(sdtlseqdt0(sdtasdt0(xn,xn),sdtasdt0(xm,xm))|~(sdtlseqdt0(xn,xm))))),inference(distribute,[status(thm)],[254])).
% cnf(256,plain,(sdtlseqdt0(sdtasdt0(xn,xn),sdtasdt0(xm,xm))|~sdtlseqdt0(xn,xm)),inference(split_conjunct,[status(thm)],[255])).
% cnf(259,plain,(sdtlseqdt0(sdtasdt0(xn,xn),sdtasdt0(xm,xm))|sdtpldt0(xn,X1)!=xm|~aNaturalNumber0(X1)),inference(split_conjunct,[status(thm)],[255])).
% fof(273, negated_conjecture,(xm=xn|(![X1]:(~(aNaturalNumber0(X1))|~(sdtpldt0(xm,X1)=xn))&~(sdtlseqdt0(xm,xn)))),inference(fof_nnf,[status(thm)],[49])).
% fof(274, negated_conjecture,(xm=xn|(![X2]:(~(aNaturalNumber0(X2))|~(sdtpldt0(xm,X2)=xn))&~(sdtlseqdt0(xm,xn)))),inference(variable_rename,[status(thm)],[273])).
% fof(275, negated_conjecture,![X2]:(((~(aNaturalNumber0(X2))|~(sdtpldt0(xm,X2)=xn))&~(sdtlseqdt0(xm,xn)))|xm=xn),inference(shift_quantors,[status(thm)],[274])).
% fof(276, negated_conjecture,![X2]:(((~(aNaturalNumber0(X2))|~(sdtpldt0(xm,X2)=xn))|xm=xn)&(~(sdtlseqdt0(xm,xn))|xm=xn)),inference(distribute,[status(thm)],[275])).
% cnf(277,negated_conjecture,(xm=xn|~sdtlseqdt0(xm,xn)),inference(split_conjunct,[status(thm)],[276])).
% cnf(308,plain,(aNaturalNumber0(sdtasdt0(xn,xn))|~aNaturalNumber0(esk7_0)|~aNaturalNumber0(xp)),inference(spm,[status(thm)],[60,245,theory(equality)])).
% cnf(318,plain,(aNaturalNumber0(sdtasdt0(xn,xn))|$false|~aNaturalNumber0(xp)),inference(rw,[status(thm)],[308,246,theory(equality)])).
% cnf(319,plain,(aNaturalNumber0(sdtasdt0(xn,xn))|$false|$false),inference(rw,[status(thm)],[318,216,theory(equality)])).
% cnf(320,plain,(aNaturalNumber0(sdtasdt0(xn,xn))),inference(cn,[status(thm)],[319,theory(equality)])).
% cnf(375,plain,(sdtlseqdt0(xm,X1)|sdtlseqdt0(X1,xm)|~aNaturalNumber0(X1)),inference(spm,[status(thm)],[132,217,theory(equality)])).
% cnf(386,plain,(aNaturalNumber0(sdtasdt0(xm,xm))|~aNaturalNumber0(sdtasdt0(xq,xq))|~aNaturalNumber0(xp)),inference(spm,[status(thm)],[60,250,theory(equality)])).
% cnf(387,plain,(aNaturalNumber0(sdtasdt0(xm,xm))|~aNaturalNumber0(sdtasdt0(xq,xq))|$false),inference(rw,[status(thm)],[386,216,theory(equality)])).
% cnf(388,plain,(aNaturalNumber0(sdtasdt0(xm,xm))|~aNaturalNumber0(sdtasdt0(xq,xq))),inference(cn,[status(thm)],[387,theory(equality)])).
% cnf(466,plain,(sz00=X1|sdtlseqdt0(X2,sdtasdt0(X1,X2))|~aNaturalNumber0(X1)|~aNaturalNumber0(X2)),inference(spm,[status(thm)],[156,74,theory(equality)])).
% cnf(632,plain,(sdtpldt0(X1,sdtpldt0(X2,sz00))=sdtpldt0(X1,X2)|~aNaturalNumber0(sdtpldt0(X1,X2))|~aNaturalNumber0(sz00)|~aNaturalNumber0(X2)|~aNaturalNumber0(X1)),inference(spm,[status(thm)],[71,66,theory(equality)])).
% cnf(645,plain,(sdtpldt0(X1,X2)=sdtpldt0(sz00,sdtpldt0(X1,X2))|~aNaturalNumber0(X2)|~aNaturalNumber0(X1)|~aNaturalNumber0(sz00)),inference(spm,[status(thm)],[66,70,theory(equality)])).
% cnf(650,plain,(sdtpldt0(X1,sdtpldt0(X2,sz00))=sdtpldt0(X1,X2)|~aNaturalNumber0(sdtpldt0(X1,X2))|$false|~aNaturalNumber0(X2)|~aNaturalNumber0(X1)),inference(rw,[status(thm)],[632,52,theory(equality)])).
% cnf(651,plain,(sdtpldt0(X1,sdtpldt0(X2,sz00))=sdtpldt0(X1,X2)|~aNaturalNumber0(sdtpldt0(X1,X2))|~aNaturalNumber0(X2)|~aNaturalNumber0(X1)),inference(cn,[status(thm)],[650,theory(equality)])).
% cnf(652,plain,(sdtpldt0(X1,X2)=sdtpldt0(sz00,sdtpldt0(X1,X2))|~aNaturalNumber0(X2)|~aNaturalNumber0(X1)|$false),inference(rw,[status(thm)],[645,52,theory(equality)])).
% cnf(653,plain,(sdtpldt0(X1,X2)=sdtpldt0(sz00,sdtpldt0(X1,X2))|~aNaturalNumber0(X2)|~aNaturalNumber0(X1)),inference(cn,[status(thm)],[652,theory(equality)])).
% cnf(804,plain,(sz00=esk7_0|X1=xp|sdtasdt0(X1,esk7_0)!=sdtasdt0(xn,xn)|~aNaturalNumber0(xp)|~aNaturalNumber0(X1)|~aNaturalNumber0(esk7_0)),inference(spm,[status(thm)],[102,245,theory(equality)])).
% cnf(828,plain,(sz00=esk7_0|X1=xp|sdtasdt0(X1,esk7_0)!=sdtasdt0(xn,xn)|$false|~aNaturalNumber0(X1)|~aNaturalNumber0(esk7_0)),inference(rw,[status(thm)],[804,216,theory(equality)])).
% cnf(829,plain,(sz00=esk7_0|X1=xp|sdtasdt0(X1,esk7_0)!=sdtasdt0(xn,xn)|$false|~aNaturalNumber0(X1)|$false),inference(rw,[status(thm)],[828,246,theory(equality)])).
% cnf(830,plain,(sz00=esk7_0|X1=xp|sdtasdt0(X1,esk7_0)!=sdtasdt0(xn,xn)|~aNaturalNumber0(X1)),inference(cn,[status(thm)],[829,theory(equality)])).
% cnf(867,plain,(sz00=xp|X1=esk7_0|sdtasdt0(xp,X1)!=sdtasdt0(xn,xn)|~aNaturalNumber0(esk7_0)|~aNaturalNumber0(X1)|~aNaturalNumber0(xp)),inference(spm,[status(thm)],[103,245,theory(equality)])).
% cnf(892,plain,(sz00=xp|X1=esk7_0|sdtasdt0(xp,X1)!=sdtasdt0(xn,xn)|$false|~aNaturalNumber0(X1)|~aNaturalNumber0(xp)),inference(rw,[status(thm)],[867,246,theory(equality)])).
% cnf(893,plain,(sz00=xp|X1=esk7_0|sdtasdt0(xp,X1)!=sdtasdt0(xn,xn)|$false|~aNaturalNumber0(X1)|$false),inference(rw,[status(thm)],[892,216,theory(equality)])).
% cnf(894,plain,(sz00=xp|X1=esk7_0|sdtasdt0(xp,X1)!=sdtasdt0(xn,xn)|~aNaturalNumber0(X1)),inference(cn,[status(thm)],[893,theory(equality)])).
% cnf(895,plain,(X1=esk7_0|sdtasdt0(xp,X1)!=sdtasdt0(xn,xn)|~aNaturalNumber0(X1)),inference(sr,[status(thm)],[894,213,theory(equality)])).
% cnf(2462,plain,(sdtlseqdt0(xn,xm)|sdtlseqdt0(xm,xn)),inference(spm,[status(thm)],[375,218,theory(equality)])).
% cnf(2512,negated_conjecture,(xm=xn|sdtlseqdt0(xn,xm)),inference(spm,[status(thm)],[277,2462,theory(equality)])).
% cnf(4217,plain,(aNaturalNumber0(sdtasdt0(xm,xm))|~aNaturalNumber0(xq)),inference(spm,[status(thm)],[388,60,theory(equality)])).
% cnf(4222,plain,(aNaturalNumber0(sdtasdt0(xm,xm))|$false),inference(rw,[status(thm)],[4217,249,theory(equality)])).
% cnf(4223,plain,(aNaturalNumber0(sdtasdt0(xm,xm))),inference(cn,[status(thm)],[4222,theory(equality)])).
% cnf(4486,plain,(sdtasdt0(xm,xm)=esk7_0|~aNaturalNumber0(sdtasdt0(xm,xm))),inference(spm,[status(thm)],[895,230,theory(equality)])).
% cnf(4505,plain,(sdtasdt0(xm,xm)=esk7_0|$false),inference(rw,[status(thm)],[4486,4223,theory(equality)])).
% cnf(4506,plain,(sdtasdt0(xm,xm)=esk7_0),inference(cn,[status(thm)],[4505,theory(equality)])).
% cnf(4513,plain,(sz00=xm|esk7_0!=sz00|~aNaturalNumber0(xm)),inference(spm,[status(thm)],[111,4506,theory(equality)])).
% cnf(4547,plain,(sdtlseqdt0(sdtasdt0(xn,xn),esk7_0)|sdtpldt0(xn,X1)!=xm|~aNaturalNumber0(X1)),inference(rw,[status(thm)],[259,4506,theory(equality)])).
% cnf(4548,plain,(sdtlseqdt0(sdtasdt0(xn,xn),esk7_0)|~sdtlseqdt0(xn,xm)),inference(rw,[status(thm)],[256,4506,theory(equality)])).
% cnf(4565,plain,(sz00=xm|esk7_0!=sz00|$false),inference(rw,[status(thm)],[4513,217,theory(equality)])).
% cnf(4566,plain,(sz00=xm|esk7_0!=sz00),inference(cn,[status(thm)],[4565,theory(equality)])).
% cnf(4567,plain,(esk7_0!=sz00),inference(sr,[status(thm)],[4566,214,theory(equality)])).
% cnf(5962,plain,(sz00=xp|sdtlseqdt0(esk7_0,sdtasdt0(xn,xn))|~aNaturalNumber0(xp)|~aNaturalNumber0(esk7_0)),inference(spm,[status(thm)],[466,245,theory(equality)])).
% cnf(5984,plain,(sz00=xp|sdtlseqdt0(esk7_0,sdtasdt0(xn,xn))|$false|~aNaturalNumber0(esk7_0)),inference(rw,[status(thm)],[5962,216,theory(equality)])).
% cnf(5985,plain,(sz00=xp|sdtlseqdt0(esk7_0,sdtasdt0(xn,xn))|$false|$false),inference(rw,[status(thm)],[5984,246,theory(equality)])).
% cnf(5986,plain,(sz00=xp|sdtlseqdt0(esk7_0,sdtasdt0(xn,xn))),inference(cn,[status(thm)],[5985,theory(equality)])).
% cnf(5987,plain,(sdtlseqdt0(esk7_0,sdtasdt0(xn,xn))),inference(sr,[status(thm)],[5986,213,theory(equality)])).
% cnf(10240,plain,(sdtpldt0(X1,sdtpldt0(X2,sz00))=sdtpldt0(X1,X2)|~aNaturalNumber0(X2)|~aNaturalNumber0(X1)),inference(csr,[status(thm)],[651,57])).
% cnf(12554,plain,(sdtpldt0(X1,sz00)=sdtpldt0(sz00,X1)|~aNaturalNumber0(X1)|~aNaturalNumber0(sz00)),inference(spm,[status(thm)],[10240,653,theory(equality)])).
% cnf(12656,plain,(sdtpldt0(X1,sz00)=sdtpldt0(sz00,X1)|~aNaturalNumber0(X1)|$false),inference(rw,[status(thm)],[12554,52,theory(equality)])).
% cnf(12657,plain,(sdtpldt0(X1,sz00)=sdtpldt0(sz00,X1)|~aNaturalNumber0(X1)),inference(cn,[status(thm)],[12656,theory(equality)])).
% cnf(14287,plain,(sdtlseqdt0(sdtasdt0(xn,xn),esk7_0)|sdtpldt0(sz00,xn)!=xm|~aNaturalNumber0(sz00)|~aNaturalNumber0(xn)),inference(spm,[status(thm)],[4547,12657,theory(equality)])).
% cnf(14433,plain,(sdtlseqdt0(sdtasdt0(xn,xn),esk7_0)|sdtpldt0(sz00,xn)!=xm|$false|~aNaturalNumber0(xn)),inference(rw,[status(thm)],[14287,52,theory(equality)])).
% cnf(14434,plain,(sdtlseqdt0(sdtasdt0(xn,xn),esk7_0)|sdtpldt0(sz00,xn)!=xm|$false|$false),inference(rw,[status(thm)],[14433,218,theory(equality)])).
% cnf(14435,plain,(sdtlseqdt0(sdtasdt0(xn,xn),esk7_0)|sdtpldt0(sz00,xn)!=xm),inference(cn,[status(thm)],[14434,theory(equality)])).
% cnf(20404,plain,(X1=xp|sdtasdt0(X1,esk7_0)!=sdtasdt0(xn,xn)|~aNaturalNumber0(X1)),inference(sr,[status(thm)],[830,4567,theory(equality)])).
% cnf(20412,plain,(sz10=xp|esk7_0!=sdtasdt0(xn,xn)|~aNaturalNumber0(sz10)|~aNaturalNumber0(esk7_0)),inference(spm,[status(thm)],[20404,81,theory(equality)])).
% cnf(20421,plain,(sz10=xp|esk7_0!=sdtasdt0(xn,xn)|$false|~aNaturalNumber0(esk7_0)),inference(rw,[status(thm)],[20412,54,theory(equality)])).
% cnf(20422,plain,(sz10=xp|esk7_0!=sdtasdt0(xn,xn)|$false|$false),inference(rw,[status(thm)],[20421,246,theory(equality)])).
% cnf(20423,plain,(sz10=xp|esk7_0!=sdtasdt0(xn,xn)),inference(cn,[status(thm)],[20422,theory(equality)])).
% cnf(20424,plain,(sdtasdt0(xn,xn)!=esk7_0),inference(sr,[status(thm)],[20423,236,theory(equality)])).
% cnf(20571,plain,(esk7_0=sdtasdt0(xn,xn)|~sdtlseqdt0(esk7_0,sdtasdt0(xn,xn))|~aNaturalNumber0(sdtasdt0(xn,xn))|~aNaturalNumber0(esk7_0)|sdtpldt0(sz00,xn)!=xm),inference(spm,[status(thm)],[125,14435,theory(equality)])).
% cnf(20581,plain,(esk7_0=sdtasdt0(xn,xn)|$false|~aNaturalNumber0(sdtasdt0(xn,xn))|~aNaturalNumber0(esk7_0)|sdtpldt0(sz00,xn)!=xm),inference(rw,[status(thm)],[20571,5987,theory(equality)])).
% cnf(20582,plain,(esk7_0=sdtasdt0(xn,xn)|$false|$false|~aNaturalNumber0(esk7_0)|sdtpldt0(sz00,xn)!=xm),inference(rw,[status(thm)],[20581,320,theory(equality)])).
% cnf(20583,plain,(esk7_0=sdtasdt0(xn,xn)|$false|$false|$false|sdtpldt0(sz00,xn)!=xm),inference(rw,[status(thm)],[20582,246,theory(equality)])).
% cnf(20584,plain,(esk7_0=sdtasdt0(xn,xn)|sdtpldt0(sz00,xn)!=xm),inference(cn,[status(thm)],[20583,theory(equality)])).
% cnf(20585,plain,(sdtpldt0(sz00,xn)!=xm),inference(sr,[status(thm)],[20584,20424,theory(equality)])).
% cnf(20600,plain,(xn!=xm|~aNaturalNumber0(xn)),inference(spm,[status(thm)],[20585,70,theory(equality)])).
% cnf(20601,plain,(xn!=xm|$false),inference(rw,[status(thm)],[20600,218,theory(equality)])).
% cnf(20602,plain,(xn!=xm),inference(cn,[status(thm)],[20601,theory(equality)])).
% cnf(20603,negated_conjecture,(sdtlseqdt0(xn,xm)),inference(sr,[status(thm)],[2512,20602,theory(equality)])).
% cnf(20636,plain,(sdtlseqdt0(sdtasdt0(xn,xn),esk7_0)|$false),inference(rw,[status(thm)],[4548,20603,theory(equality)])).
% cnf(20637,plain,(sdtlseqdt0(sdtasdt0(xn,xn),esk7_0)),inference(cn,[status(thm)],[20636,theory(equality)])).
% cnf(20829,plain,(esk7_0=sdtasdt0(xn,xn)|~sdtlseqdt0(esk7_0,sdtasdt0(xn,xn))|~aNaturalNumber0(sdtasdt0(xn,xn))|~aNaturalNumber0(esk7_0)),inference(spm,[status(thm)],[125,20637,theory(equality)])).
% cnf(20840,plain,(esk7_0=sdtasdt0(xn,xn)|$false|~aNaturalNumber0(sdtasdt0(xn,xn))|~aNaturalNumber0(esk7_0)),inference(rw,[status(thm)],[20829,5987,theory(equality)])).
% cnf(20841,plain,(esk7_0=sdtasdt0(xn,xn)|$false|$false|~aNaturalNumber0(esk7_0)),inference(rw,[status(thm)],[20840,320,theory(equality)])).
% cnf(20842,plain,(esk7_0=sdtasdt0(xn,xn)|$false|$false|$false),inference(rw,[status(thm)],[20841,246,theory(equality)])).
% cnf(20843,plain,(esk7_0=sdtasdt0(xn,xn)),inference(cn,[status(thm)],[20842,theory(equality)])).
% cnf(20844,plain,($false),inference(sr,[status(thm)],[20843,20424,theory(equality)])).
% cnf(20845,plain,($false),20844,['proof']).
% # SZS output end CNFRefutation
% # Processed clauses : 2369
% # ...of these trivial : 39
% # ...subsumed : 1474
% # ...remaining for further processing: 856
% # Other redundant clauses eliminated : 39
% # Clauses deleted for lack of memory : 0
% # Backward-subsumed : 88
% # Backward-rewritten : 59
% # Generated clauses : 7379
% # ...of the previous two non-trivial : 6616
% # Contextual simplify-reflections : 732
% # Paramodulations : 7293
% # Factorizations : 1
% # Equation resolutions : 79
% # Current number of processed clauses: 603
% # Positive orientable unit clauses: 51
% # Positive unorientable unit clauses: 0
% # Negative unit clauses : 27
% # Non-unit-clauses : 525
% # Current number of unprocessed clauses: 3665
% # ...number of literals in the above : 22280
% # Clause-clause subsumption calls (NU) : 22214
% # Rec. Clause-clause subsumption calls : 13743
% # Unit Clause-clause subsumption calls : 1764
% # Rewrite failures with RHS unbound : 0
% # Indexed BW rewrite attempts : 24
% # Indexed BW rewrite successes : 24
% # Backwards rewriting index: 283 leaves, 1.30+/-1.157 terms/leaf
% # Paramod-from index: 191 leaves, 1.08+/-0.338 terms/leaf
% # Paramod-into index: 261 leaves, 1.23+/-1.018 terms/leaf
% # -------------------------------------------------
% # User time : 0.487 s
% # System time : 0.014 s
% # Total time : 0.501 s
% # Maximum resident set size: 0 pages
% PrfWatch: 0.89 CPU 1.01 WC
% FINAL PrfWatch: 0.89 CPU 1.01 WC
% SZS output end Solution for /tmp/SystemOnTPTP17440/NUM528+3.tptp
%
%------------------------------------------------------------------------------