TSTP Solution File: NUM463+1 by SRASS---0.1
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- Process Solution
%------------------------------------------------------------------------------
% File : SRASS---0.1
% Problem : NUM463+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 : art07.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 19:20:50 EST 2010
% Result : Theorem 1.42s
% Output : Solution 1.42s
% 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/SystemOnTPTP20250/NUM463+1.tptp
% Adding relevance values
% Extracting the conjecture
% Sorting axioms by relevance
% Looking for THM ...
% found
% SZS status THM for /tmp/SystemOnTPTP20250/NUM463+1.tptp
% SZS output start Solution for /tmp/SystemOnTPTP20250/NUM463+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 20346
% TreeLimitedRun: ----------------------------------------------------------
% PrfWatch: 0.00 CPU 0.01 WC
% # Preprocessing time : 0.016 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,![X1]:![X2]:((aNaturalNumber0(X1)&aNaturalNumber0(X2))=>aNaturalNumber0(sdtasdt0(X1,X2))),file('/tmp/SRASS.s.p', mSortsB_02)).
% fof(3, axiom,![X1]:![X2]:((aNaturalNumber0(X1)&aNaturalNumber0(X2))=>sdtasdt0(X1,X2)=sdtasdt0(X2,X1)),file('/tmp/SRASS.s.p', mMulComm)).
% fof(4, axiom,![X1]:![X2]:![X3]:(((aNaturalNumber0(X1)&aNaturalNumber0(X2))&aNaturalNumber0(X3))=>sdtasdt0(sdtasdt0(X1,X2),X3)=sdtasdt0(X1,sdtasdt0(X2,X3))),file('/tmp/SRASS.s.p', mMulAsso)).
% fof(5, axiom,![X1]:(aNaturalNumber0(X1)=>(sdtasdt0(X1,sz00)=sz00&sz00=sdtasdt0(sz00,X1))),file('/tmp/SRASS.s.p', m_MulZero)).
% fof(7, axiom,![X1]:![X2]:((aNaturalNumber0(X1)&aNaturalNumber0(X2))=>(sdtasdt0(X1,X2)=sz00=>(X1=sz00|X2=sz00))),file('/tmp/SRASS.s.p', mZeroMul)).
% fof(8, axiom,![X1]:(aNaturalNumber0(X1)=>sdtlseqdt0(X1,X1)),file('/tmp/SRASS.s.p', mLERefl)).
% fof(9, axiom,![X1]:![X2]:((aNaturalNumber0(X1)&aNaturalNumber0(X2))=>((sdtlseqdt0(X1,X2)&sdtlseqdt0(X2,X1))=>X1=X2)),file('/tmp/SRASS.s.p', mLEAsym)).
% fof(11, axiom,![X1]:![X2]:((aNaturalNumber0(X1)&aNaturalNumber0(X2))=>(sdtlseqdt0(X1,X2)|(~(X2=X1)&sdtlseqdt0(X2,X1)))),file('/tmp/SRASS.s.p', mLETotal)).
% fof(12, 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(13, axiom,(aNaturalNumber0(xm)&aNaturalNumber0(xn)),file('/tmp/SRASS.s.p', m__987)).
% fof(14, axiom,![X1]:(aNaturalNumber0(X1)=>((X1=sz00|X1=sz10)|(~(sz10=X1)&sdtlseqdt0(sz10,X1)))),file('/tmp/SRASS.s.p', mLENTr)).
% fof(15, axiom,![X1]:(aNaturalNumber0(X1)=>(sdtpldt0(X1,sz00)=X1&X1=sdtpldt0(sz00,X1))),file('/tmp/SRASS.s.p', m_AddZero)).
% fof(16, 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(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(20, axiom,(aNaturalNumber0(sz10)&~(sz10=sz00)),file('/tmp/SRASS.s.p', mSortsC_01)).
% fof(21, axiom,![X1]:![X2]:((aNaturalNumber0(X1)&aNaturalNumber0(X2))=>aNaturalNumber0(sdtpldt0(X1,X2))),file('/tmp/SRASS.s.p', mSortsB)).
% fof(22, axiom,![X1]:![X2]:((aNaturalNumber0(X1)&aNaturalNumber0(X2))=>sdtpldt0(X1,X2)=sdtpldt0(X2,X1)),file('/tmp/SRASS.s.p', mAddComm)).
% fof(24, axiom,![X1]:(aNaturalNumber0(X1)=>(sdtasdt0(X1,sz10)=X1&X1=sdtasdt0(sz10,X1))),file('/tmp/SRASS.s.p', m_MulUnit)).
% fof(26, 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(28, conjecture,(~(xm=sz00)=>sdtlseqdt0(xn,sdtasdt0(xn,xm))),file('/tmp/SRASS.s.p', m__)).
% fof(29, negated_conjecture,~((~(xm=sz00)=>sdtlseqdt0(xn,sdtasdt0(xn,xm)))),inference(assume_negation,[status(cth)],[28])).
% cnf(31,plain,(aNaturalNumber0(sz00)),inference(split_conjunct,[status(thm)],[1])).
% fof(32, plain,![X1]:![X2]:((~(aNaturalNumber0(X1))|~(aNaturalNumber0(X2)))|aNaturalNumber0(sdtasdt0(X1,X2))),inference(fof_nnf,[status(thm)],[2])).
% fof(33, plain,![X3]:![X4]:((~(aNaturalNumber0(X3))|~(aNaturalNumber0(X4)))|aNaturalNumber0(sdtasdt0(X3,X4))),inference(variable_rename,[status(thm)],[32])).
% cnf(34,plain,(aNaturalNumber0(sdtasdt0(X1,X2))|~aNaturalNumber0(X2)|~aNaturalNumber0(X1)),inference(split_conjunct,[status(thm)],[33])).
% fof(35, plain,![X1]:![X2]:((~(aNaturalNumber0(X1))|~(aNaturalNumber0(X2)))|sdtasdt0(X1,X2)=sdtasdt0(X2,X1)),inference(fof_nnf,[status(thm)],[3])).
% fof(36, plain,![X3]:![X4]:((~(aNaturalNumber0(X3))|~(aNaturalNumber0(X4)))|sdtasdt0(X3,X4)=sdtasdt0(X4,X3)),inference(variable_rename,[status(thm)],[35])).
% cnf(37,plain,(sdtasdt0(X1,X2)=sdtasdt0(X2,X1)|~aNaturalNumber0(X2)|~aNaturalNumber0(X1)),inference(split_conjunct,[status(thm)],[36])).
% fof(38, plain,![X1]:![X2]:![X3]:(((~(aNaturalNumber0(X1))|~(aNaturalNumber0(X2)))|~(aNaturalNumber0(X3)))|sdtasdt0(sdtasdt0(X1,X2),X3)=sdtasdt0(X1,sdtasdt0(X2,X3))),inference(fof_nnf,[status(thm)],[4])).
% fof(39, plain,![X4]:![X5]:![X6]:(((~(aNaturalNumber0(X4))|~(aNaturalNumber0(X5)))|~(aNaturalNumber0(X6)))|sdtasdt0(sdtasdt0(X4,X5),X6)=sdtasdt0(X4,sdtasdt0(X5,X6))),inference(variable_rename,[status(thm)],[38])).
% cnf(40,plain,(sdtasdt0(sdtasdt0(X1,X2),X3)=sdtasdt0(X1,sdtasdt0(X2,X3))|~aNaturalNumber0(X3)|~aNaturalNumber0(X2)|~aNaturalNumber0(X1)),inference(split_conjunct,[status(thm)],[39])).
% fof(41, plain,![X1]:(~(aNaturalNumber0(X1))|(sdtasdt0(X1,sz00)=sz00&sz00=sdtasdt0(sz00,X1))),inference(fof_nnf,[status(thm)],[5])).
% fof(42, plain,![X2]:(~(aNaturalNumber0(X2))|(sdtasdt0(X2,sz00)=sz00&sz00=sdtasdt0(sz00,X2))),inference(variable_rename,[status(thm)],[41])).
% fof(43, plain,![X2]:((sdtasdt0(X2,sz00)=sz00|~(aNaturalNumber0(X2)))&(sz00=sdtasdt0(sz00,X2)|~(aNaturalNumber0(X2)))),inference(distribute,[status(thm)],[42])).
% cnf(44,plain,(sz00=sdtasdt0(sz00,X1)|~aNaturalNumber0(X1)),inference(split_conjunct,[status(thm)],[43])).
% cnf(45,plain,(sdtasdt0(X1,sz00)=sz00|~aNaturalNumber0(X1)),inference(split_conjunct,[status(thm)],[43])).
% fof(52, plain,![X1]:![X2]:((~(aNaturalNumber0(X1))|~(aNaturalNumber0(X2)))|(~(sdtasdt0(X1,X2)=sz00)|(X1=sz00|X2=sz00))),inference(fof_nnf,[status(thm)],[7])).
% fof(53, plain,![X3]:![X4]:((~(aNaturalNumber0(X3))|~(aNaturalNumber0(X4)))|(~(sdtasdt0(X3,X4)=sz00)|(X3=sz00|X4=sz00))),inference(variable_rename,[status(thm)],[52])).
% cnf(54,plain,(X1=sz00|X2=sz00|sdtasdt0(X2,X1)!=sz00|~aNaturalNumber0(X1)|~aNaturalNumber0(X2)),inference(split_conjunct,[status(thm)],[53])).
% fof(55, plain,![X1]:(~(aNaturalNumber0(X1))|sdtlseqdt0(X1,X1)),inference(fof_nnf,[status(thm)],[8])).
% fof(56, plain,![X2]:(~(aNaturalNumber0(X2))|sdtlseqdt0(X2,X2)),inference(variable_rename,[status(thm)],[55])).
% cnf(57,plain,(sdtlseqdt0(X1,X1)|~aNaturalNumber0(X1)),inference(split_conjunct,[status(thm)],[56])).
% fof(58, plain,![X1]:![X2]:((~(aNaturalNumber0(X1))|~(aNaturalNumber0(X2)))|((~(sdtlseqdt0(X1,X2))|~(sdtlseqdt0(X2,X1)))|X1=X2)),inference(fof_nnf,[status(thm)],[9])).
% fof(59, plain,![X3]:![X4]:((~(aNaturalNumber0(X3))|~(aNaturalNumber0(X4)))|((~(sdtlseqdt0(X3,X4))|~(sdtlseqdt0(X4,X3)))|X3=X4)),inference(variable_rename,[status(thm)],[58])).
% cnf(60,plain,(X1=X2|~sdtlseqdt0(X2,X1)|~sdtlseqdt0(X1,X2)|~aNaturalNumber0(X2)|~aNaturalNumber0(X1)),inference(split_conjunct,[status(thm)],[59])).
% fof(64, plain,![X1]:![X2]:((~(aNaturalNumber0(X1))|~(aNaturalNumber0(X2)))|(sdtlseqdt0(X1,X2)|(~(X2=X1)&sdtlseqdt0(X2,X1)))),inference(fof_nnf,[status(thm)],[11])).
% fof(65, plain,![X3]:![X4]:((~(aNaturalNumber0(X3))|~(aNaturalNumber0(X4)))|(sdtlseqdt0(X3,X4)|(~(X4=X3)&sdtlseqdt0(X4,X3)))),inference(variable_rename,[status(thm)],[64])).
% fof(66, 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)],[65])).
% cnf(67,plain,(sdtlseqdt0(X2,X1)|sdtlseqdt0(X1,X2)|~aNaturalNumber0(X1)|~aNaturalNumber0(X2)),inference(split_conjunct,[status(thm)],[66])).
% fof(69, 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)],[12])).
% fof(70, 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)],[69])).
% fof(71, 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)],[70])).
% cnf(74,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)],[71])).
% cnf(76,plain,(aNaturalNumber0(xn)),inference(split_conjunct,[status(thm)],[13])).
% cnf(77,plain,(aNaturalNumber0(xm)),inference(split_conjunct,[status(thm)],[13])).
% fof(78, plain,![X1]:(~(aNaturalNumber0(X1))|((X1=sz00|X1=sz10)|(~(sz10=X1)&sdtlseqdt0(sz10,X1)))),inference(fof_nnf,[status(thm)],[14])).
% fof(79, plain,![X2]:(~(aNaturalNumber0(X2))|((X2=sz00|X2=sz10)|(~(sz10=X2)&sdtlseqdt0(sz10,X2)))),inference(variable_rename,[status(thm)],[78])).
% fof(80, plain,![X2]:(((~(sz10=X2)|(X2=sz00|X2=sz10))|~(aNaturalNumber0(X2)))&((sdtlseqdt0(sz10,X2)|(X2=sz00|X2=sz10))|~(aNaturalNumber0(X2)))),inference(distribute,[status(thm)],[79])).
% cnf(81,plain,(X1=sz10|X1=sz00|sdtlseqdt0(sz10,X1)|~aNaturalNumber0(X1)),inference(split_conjunct,[status(thm)],[80])).
% fof(83, plain,![X1]:(~(aNaturalNumber0(X1))|(sdtpldt0(X1,sz00)=X1&X1=sdtpldt0(sz00,X1))),inference(fof_nnf,[status(thm)],[15])).
% fof(84, plain,![X2]:(~(aNaturalNumber0(X2))|(sdtpldt0(X2,sz00)=X2&X2=sdtpldt0(sz00,X2))),inference(variable_rename,[status(thm)],[83])).
% fof(85, plain,![X2]:((sdtpldt0(X2,sz00)=X2|~(aNaturalNumber0(X2)))&(X2=sdtpldt0(sz00,X2)|~(aNaturalNumber0(X2)))),inference(distribute,[status(thm)],[84])).
% cnf(86,plain,(X1=sdtpldt0(sz00,X1)|~aNaturalNumber0(X1)),inference(split_conjunct,[status(thm)],[85])).
% cnf(87,plain,(sdtpldt0(X1,sz00)=X1|~aNaturalNumber0(X1)),inference(split_conjunct,[status(thm)],[85])).
% fof(88, 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)],[16])).
% fof(89, 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)],[88])).
% fof(90, 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)],[89])).
% cnf(92,plain,(sdtasdt0(X3,sdtpldt0(X2,X1))=sdtpldt0(sdtasdt0(X3,X2),sdtasdt0(X3,X1))|~aNaturalNumber0(X1)|~aNaturalNumber0(X2)|~aNaturalNumber0(X3)),inference(split_conjunct,[status(thm)],[90])).
% fof(98, 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(99, 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)],[98])).
% fof(100, 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)],[99])).
% fof(101, 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)],[100])).
% fof(102, 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)],[101])).
% cnf(105,plain,(sdtlseqdt0(X2,X1)|~aNaturalNumber0(X1)|~aNaturalNumber0(X2)|sdtpldt0(X2,X3)!=X1|~aNaturalNumber0(X3)),inference(split_conjunct,[status(thm)],[102])).
% cnf(114,plain,(sz10!=sz00),inference(split_conjunct,[status(thm)],[20])).
% cnf(115,plain,(aNaturalNumber0(sz10)),inference(split_conjunct,[status(thm)],[20])).
% fof(116, plain,![X1]:![X2]:((~(aNaturalNumber0(X1))|~(aNaturalNumber0(X2)))|aNaturalNumber0(sdtpldt0(X1,X2))),inference(fof_nnf,[status(thm)],[21])).
% fof(117, plain,![X3]:![X4]:((~(aNaturalNumber0(X3))|~(aNaturalNumber0(X4)))|aNaturalNumber0(sdtpldt0(X3,X4))),inference(variable_rename,[status(thm)],[116])).
% cnf(118,plain,(aNaturalNumber0(sdtpldt0(X1,X2))|~aNaturalNumber0(X2)|~aNaturalNumber0(X1)),inference(split_conjunct,[status(thm)],[117])).
% fof(119, plain,![X1]:![X2]:((~(aNaturalNumber0(X1))|~(aNaturalNumber0(X2)))|sdtpldt0(X1,X2)=sdtpldt0(X2,X1)),inference(fof_nnf,[status(thm)],[22])).
% fof(120, plain,![X3]:![X4]:((~(aNaturalNumber0(X3))|~(aNaturalNumber0(X4)))|sdtpldt0(X3,X4)=sdtpldt0(X4,X3)),inference(variable_rename,[status(thm)],[119])).
% cnf(121,plain,(sdtpldt0(X1,X2)=sdtpldt0(X2,X1)|~aNaturalNumber0(X2)|~aNaturalNumber0(X1)),inference(split_conjunct,[status(thm)],[120])).
% fof(125, plain,![X1]:(~(aNaturalNumber0(X1))|(sdtasdt0(X1,sz10)=X1&X1=sdtasdt0(sz10,X1))),inference(fof_nnf,[status(thm)],[24])).
% fof(126, plain,![X2]:(~(aNaturalNumber0(X2))|(sdtasdt0(X2,sz10)=X2&X2=sdtasdt0(sz10,X2))),inference(variable_rename,[status(thm)],[125])).
% fof(127, plain,![X2]:((sdtasdt0(X2,sz10)=X2|~(aNaturalNumber0(X2)))&(X2=sdtasdt0(sz10,X2)|~(aNaturalNumber0(X2)))),inference(distribute,[status(thm)],[126])).
% cnf(128,plain,(X1=sdtasdt0(sz10,X1)|~aNaturalNumber0(X1)),inference(split_conjunct,[status(thm)],[127])).
% cnf(129,plain,(sdtasdt0(X1,sz10)=X1|~aNaturalNumber0(X1)),inference(split_conjunct,[status(thm)],[127])).
% fof(135, 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)],[26])).
% fof(136, 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)],[135])).
% fof(137, 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)],[136])).
% fof(138, 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)],[137])).
% cnf(139,plain,(X3=sdtmndt0(X1,X2)|~aNaturalNumber0(X1)|~aNaturalNumber0(X2)|~sdtlseqdt0(X2,X1)|sdtpldt0(X2,X3)!=X1|~aNaturalNumber0(X3)),inference(split_conjunct,[status(thm)],[138])).
% cnf(141,plain,(aNaturalNumber0(X3)|~aNaturalNumber0(X1)|~aNaturalNumber0(X2)|~sdtlseqdt0(X2,X1)|X3!=sdtmndt0(X1,X2)),inference(split_conjunct,[status(thm)],[138])).
% fof(144, negated_conjecture,(~(xm=sz00)&~(sdtlseqdt0(xn,sdtasdt0(xn,xm)))),inference(fof_nnf,[status(thm)],[29])).
% cnf(145,negated_conjecture,(~sdtlseqdt0(xn,sdtasdt0(xn,xm))),inference(split_conjunct,[status(thm)],[144])).
% cnf(146,negated_conjecture,(xm!=sz00),inference(split_conjunct,[status(thm)],[144])).
% cnf(150,plain,(sdtmndt0(X1,X2)=X3|sdtpldt0(X2,X3)!=X1|~aNaturalNumber0(X3)|~aNaturalNumber0(X2)|~aNaturalNumber0(X1)),inference(csr,[status(thm)],[139,105])).
% cnf(168,negated_conjecture,(~sdtlseqdt0(xn,sdtasdt0(xm,xn))|~aNaturalNumber0(xn)|~aNaturalNumber0(xm)),inference(spm,[status(thm)],[145,37,theory(equality)])).
% cnf(181,negated_conjecture,(~sdtlseqdt0(xn,sdtasdt0(xm,xn))|$false|~aNaturalNumber0(xm)),inference(rw,[status(thm)],[168,76,theory(equality)])).
% cnf(182,negated_conjecture,(~sdtlseqdt0(xn,sdtasdt0(xm,xn))|$false|$false),inference(rw,[status(thm)],[181,77,theory(equality)])).
% cnf(183,negated_conjecture,(~sdtlseqdt0(xn,sdtasdt0(xm,xn))),inference(cn,[status(thm)],[182,theory(equality)])).
% cnf(210,plain,(sdtlseqdt0(xn,X1)|sdtlseqdt0(X1,xn)|~aNaturalNumber0(X1)),inference(spm,[status(thm)],[67,76,theory(equality)])).
% cnf(211,plain,(sdtlseqdt0(xm,X1)|sdtlseqdt0(X1,xm)|~aNaturalNumber0(X1)),inference(spm,[status(thm)],[67,77,theory(equality)])).
% cnf(227,plain,(X1=sz10|sz00=X1|~sdtlseqdt0(X1,sz10)|~aNaturalNumber0(sz10)|~aNaturalNumber0(X1)),inference(spm,[status(thm)],[60,81,theory(equality)])).
% cnf(228,plain,(X1=sz10|sz00=X1|~sdtlseqdt0(X1,sz10)|$false|~aNaturalNumber0(X1)),inference(rw,[status(thm)],[227,115,theory(equality)])).
% cnf(229,plain,(X1=sz10|sz00=X1|~sdtlseqdt0(X1,sz10)|~aNaturalNumber0(X1)),inference(cn,[status(thm)],[228,theory(equality)])).
% cnf(255,plain,(sdtasdt0(X1,sdtasdt0(X2,sz10))=sdtasdt0(X1,X2)|~aNaturalNumber0(sdtasdt0(X1,X2))|~aNaturalNumber0(sz10)|~aNaturalNumber0(X2)|~aNaturalNumber0(X1)),inference(spm,[status(thm)],[129,40,theory(equality)])).
% cnf(256,plain,(sdtasdt0(X1,sdtasdt0(X2,sz00))=sz00|~aNaturalNumber0(sdtasdt0(X1,X2))|~aNaturalNumber0(sz00)|~aNaturalNumber0(X2)|~aNaturalNumber0(X1)),inference(spm,[status(thm)],[45,40,theory(equality)])).
% cnf(258,plain,(sz00=sdtasdt0(X1,X2)|sz00=X3|sdtasdt0(X1,sdtasdt0(X2,X3))!=sz00|~aNaturalNumber0(sdtasdt0(X1,X2))|~aNaturalNumber0(X3)|~aNaturalNumber0(X2)|~aNaturalNumber0(X1)),inference(spm,[status(thm)],[54,40,theory(equality)])).
% cnf(262,plain,(sdtasdt0(X1,X2)=sdtasdt0(sz10,sdtasdt0(X1,X2))|~aNaturalNumber0(X2)|~aNaturalNumber0(X1)|~aNaturalNumber0(sz10)),inference(spm,[status(thm)],[40,128,theory(equality)])).
% cnf(263,plain,(sdtasdt0(sz00,X2)=sdtasdt0(sz00,sdtasdt0(X1,X2))|~aNaturalNumber0(X2)|~aNaturalNumber0(X1)|~aNaturalNumber0(sz00)),inference(spm,[status(thm)],[40,44,theory(equality)])).
% cnf(268,plain,(sdtasdt0(X1,sdtasdt0(X2,sz10))=sdtasdt0(X1,X2)|~aNaturalNumber0(sdtasdt0(X1,X2))|$false|~aNaturalNumber0(X2)|~aNaturalNumber0(X1)),inference(rw,[status(thm)],[255,115,theory(equality)])).
% cnf(269,plain,(sdtasdt0(X1,sdtasdt0(X2,sz10))=sdtasdt0(X1,X2)|~aNaturalNumber0(sdtasdt0(X1,X2))|~aNaturalNumber0(X2)|~aNaturalNumber0(X1)),inference(cn,[status(thm)],[268,theory(equality)])).
% cnf(270,plain,(sdtasdt0(X1,sdtasdt0(X2,sz00))=sz00|~aNaturalNumber0(sdtasdt0(X1,X2))|$false|~aNaturalNumber0(X2)|~aNaturalNumber0(X1)),inference(rw,[status(thm)],[256,31,theory(equality)])).
% cnf(271,plain,(sdtasdt0(X1,sdtasdt0(X2,sz00))=sz00|~aNaturalNumber0(sdtasdt0(X1,X2))|~aNaturalNumber0(X2)|~aNaturalNumber0(X1)),inference(cn,[status(thm)],[270,theory(equality)])).
% cnf(272,plain,(sdtasdt0(X1,X2)=sdtasdt0(sz10,sdtasdt0(X1,X2))|~aNaturalNumber0(X2)|~aNaturalNumber0(X1)|$false),inference(rw,[status(thm)],[262,115,theory(equality)])).
% cnf(273,plain,(sdtasdt0(X1,X2)=sdtasdt0(sz10,sdtasdt0(X1,X2))|~aNaturalNumber0(X2)|~aNaturalNumber0(X1)),inference(cn,[status(thm)],[272,theory(equality)])).
% cnf(274,plain,(sdtasdt0(sz00,X2)=sdtasdt0(sz00,sdtasdt0(X1,X2))|~aNaturalNumber0(X2)|~aNaturalNumber0(X1)|$false),inference(rw,[status(thm)],[263,31,theory(equality)])).
% cnf(275,plain,(sdtasdt0(sz00,X2)=sdtasdt0(sz00,sdtasdt0(X1,X2))|~aNaturalNumber0(X2)|~aNaturalNumber0(X1)),inference(cn,[status(thm)],[274,theory(equality)])).
% cnf(284,plain,(sdtlseqdt0(X1,sdtpldt0(X1,X2))|~aNaturalNumber0(X2)|~aNaturalNumber0(X1)|~aNaturalNumber0(sdtpldt0(X1,X2))),inference(er,[status(thm)],[105,theory(equality)])).
% cnf(285,plain,(sdtlseqdt0(sz00,X1)|X2!=X1|~aNaturalNumber0(X2)|~aNaturalNumber0(sz00)|~aNaturalNumber0(X1)),inference(spm,[status(thm)],[105,86,theory(equality)])).
% cnf(290,plain,(sdtlseqdt0(sz00,X1)|X2!=X1|~aNaturalNumber0(X2)|$false|~aNaturalNumber0(X1)),inference(rw,[status(thm)],[285,31,theory(equality)])).
% cnf(291,plain,(sdtlseqdt0(sz00,X1)|X2!=X1|~aNaturalNumber0(X2)|~aNaturalNumber0(X1)),inference(cn,[status(thm)],[290,theory(equality)])).
% cnf(292,plain,(sdtlseqdt0(sz00,X1)|~aNaturalNumber0(X1)),inference(er,[status(thm)],[291,theory(equality)])).
% cnf(401,plain,(sdtpldt0(sdtasdt0(sz10,X1),X2)=sdtasdt0(sz10,sdtpldt0(X1,X2))|~aNaturalNumber0(sz10)|~aNaturalNumber0(X1)|~aNaturalNumber0(X2)),inference(spm,[status(thm)],[92,128,theory(equality)])).
% cnf(415,plain,(sdtpldt0(sdtasdt0(sz10,X1),X2)=sdtasdt0(sz10,sdtpldt0(X1,X2))|$false|~aNaturalNumber0(X1)|~aNaturalNumber0(X2)),inference(rw,[status(thm)],[401,115,theory(equality)])).
% cnf(416,plain,(sdtpldt0(sdtasdt0(sz10,X1),X2)=sdtasdt0(sz10,sdtpldt0(X1,X2))|~aNaturalNumber0(X1)|~aNaturalNumber0(X2)),inference(cn,[status(thm)],[415,theory(equality)])).
% cnf(441,plain,(sz00=X1|X2=sz10|sdtlseqdt0(X1,sdtasdt0(X1,X2))|~sdtlseqdt0(sz10,X2)|~aNaturalNumber0(X1)|~aNaturalNumber0(sz10)|~aNaturalNumber0(X2)),inference(spm,[status(thm)],[74,129,theory(equality)])).
% cnf(455,plain,(sz00=X1|X2=sz10|sdtlseqdt0(X1,sdtasdt0(X1,X2))|~sdtlseqdt0(sz10,X2)|~aNaturalNumber0(X1)|$false|~aNaturalNumber0(X2)),inference(rw,[status(thm)],[441,115,theory(equality)])).
% cnf(456,plain,(sz00=X1|X2=sz10|sdtlseqdt0(X1,sdtasdt0(X1,X2))|~sdtlseqdt0(sz10,X2)|~aNaturalNumber0(X1)|~aNaturalNumber0(X2)),inference(cn,[status(thm)],[455,theory(equality)])).
% cnf(491,plain,(sdtmndt0(X1,X2)=sz00|X2!=X1|~aNaturalNumber0(sz00)|~aNaturalNumber0(X2)|~aNaturalNumber0(X1)),inference(spm,[status(thm)],[150,87,theory(equality)])).
% cnf(498,plain,(sdtmndt0(X1,X2)=sz00|X2!=X1|$false|~aNaturalNumber0(X2)|~aNaturalNumber0(X1)),inference(rw,[status(thm)],[491,31,theory(equality)])).
% cnf(499,plain,(sdtmndt0(X1,X2)=sz00|X2!=X1|~aNaturalNumber0(X2)|~aNaturalNumber0(X1)),inference(cn,[status(thm)],[498,theory(equality)])).
% cnf(500,plain,(sdtmndt0(X1,X1)=sz00|~aNaturalNumber0(X1)),inference(er,[status(thm)],[499,theory(equality)])).
% cnf(622,plain,(X1=sz00|~sdtlseqdt0(X1,sz00)|~aNaturalNumber0(sz00)|~aNaturalNumber0(X1)),inference(spm,[status(thm)],[60,292,theory(equality)])).
% cnf(624,plain,(X1=sz00|~sdtlseqdt0(X1,sz00)|$false|~aNaturalNumber0(X1)),inference(rw,[status(thm)],[622,31,theory(equality)])).
% cnf(625,plain,(X1=sz00|~sdtlseqdt0(X1,sz00)|~aNaturalNumber0(X1)),inference(cn,[status(thm)],[624,theory(equality)])).
% cnf(666,plain,(sdtlseqdt0(xn,xn)),inference(spm,[status(thm)],[210,76,theory(equality)])).
% cnf(669,plain,(sdtlseqdt0(sz00,xn)|sdtlseqdt0(xn,sz00)),inference(spm,[status(thm)],[210,31,theory(equality)])).
% cnf(712,plain,(xn=sz00|sdtlseqdt0(sz00,xn)|~aNaturalNumber0(xn)),inference(spm,[status(thm)],[625,669,theory(equality)])).
% cnf(719,plain,(xn=sz00|sdtlseqdt0(sz00,xn)|$false),inference(rw,[status(thm)],[712,76,theory(equality)])).
% cnf(720,plain,(xn=sz00|sdtlseqdt0(sz00,xn)),inference(cn,[status(thm)],[719,theory(equality)])).
% cnf(721,plain,(xn=sz00|~sdtlseqdt0(xn,sz00)|~aNaturalNumber0(sz00)|~aNaturalNumber0(xn)),inference(spm,[status(thm)],[60,720,theory(equality)])).
% cnf(723,plain,(xn=sz00|~sdtlseqdt0(xn,sz00)|$false|~aNaturalNumber0(xn)),inference(rw,[status(thm)],[721,31,theory(equality)])).
% cnf(724,plain,(xn=sz00|~sdtlseqdt0(xn,sz00)|$false|$false),inference(rw,[status(thm)],[723,76,theory(equality)])).
% cnf(725,plain,(xn=sz00|~sdtlseqdt0(xn,sz00)),inference(cn,[status(thm)],[724,theory(equality)])).
% cnf(791,plain,(sdtlseqdt0(sz10,xm)|sdtlseqdt0(xm,sz10)),inference(spm,[status(thm)],[211,115,theory(equality)])).
% cnf(984,plain,(sz00=xm|xm=sz10|sdtlseqdt0(sz10,xm)|~aNaturalNumber0(xm)),inference(spm,[status(thm)],[229,791,theory(equality)])).
% cnf(989,plain,(sz00=xm|xm=sz10|sdtlseqdt0(sz10,xm)|$false),inference(rw,[status(thm)],[984,77,theory(equality)])).
% cnf(990,plain,(sz00=xm|xm=sz10|sdtlseqdt0(sz10,xm)),inference(cn,[status(thm)],[989,theory(equality)])).
% cnf(991,plain,(xm=sz10|sdtlseqdt0(sz10,xm)),inference(sr,[status(thm)],[990,146,theory(equality)])).
% cnf(1095,plain,(aNaturalNumber0(X1)|sz00!=X1|~sdtlseqdt0(X2,X2)|~aNaturalNumber0(X2)),inference(spm,[status(thm)],[141,500,theory(equality)])).
% cnf(1555,plain,(aNaturalNumber0(X1)|sz00!=X1|~aNaturalNumber0(X2)),inference(csr,[status(thm)],[1095,57])).
% cnf(1558,plain,(aNaturalNumber0(X1)|sz00!=X1),inference(spm,[status(thm)],[1555,115,theory(equality)])).
% cnf(1563,plain,(sdtasdt0(X1,sdtasdt0(X2,sz10))=sdtasdt0(X1,X2)|~aNaturalNumber0(X2)|~aNaturalNumber0(X1)),inference(csr,[status(thm)],[269,34])).
% cnf(1646,plain,(sdtasdt0(X1,sdtasdt0(X2,sz00))=sz00|~aNaturalNumber0(X2)|~aNaturalNumber0(X1)),inference(csr,[status(thm)],[271,34])).
% cnf(1890,plain,(sdtasdt0(X1,X2)=sz00|sz00=X3|sdtasdt0(X1,sdtasdt0(X2,X3))!=sz00|~aNaturalNumber0(X3)|~aNaturalNumber0(X2)|~aNaturalNumber0(X1)),inference(csr,[status(thm)],[258,34])).
% cnf(2207,plain,(sdtasdt0(X1,sz10)=sdtasdt0(sz10,X1)|~aNaturalNumber0(X1)|~aNaturalNumber0(sz10)),inference(spm,[status(thm)],[1563,273,theory(equality)])).
% cnf(2275,plain,(sdtasdt0(X1,sz10)=sdtasdt0(sz10,X1)|~aNaturalNumber0(X1)|$false),inference(rw,[status(thm)],[2207,115,theory(equality)])).
% cnf(2276,plain,(sdtasdt0(X1,sz10)=sdtasdt0(sz10,X1)|~aNaturalNumber0(X1)),inference(cn,[status(thm)],[2275,theory(equality)])).
% cnf(2396,plain,(sdtasdt0(sz00,sz00)=sz00|~aNaturalNumber0(X1)|~aNaturalNumber0(sz00)),inference(spm,[status(thm)],[1646,275,theory(equality)])).
% cnf(2450,plain,(sdtasdt0(sz00,sz00)=sz00|~aNaturalNumber0(X1)|$false),inference(rw,[status(thm)],[2396,31,theory(equality)])).
% cnf(2451,plain,(sdtasdt0(sz00,sz00)=sz00|~aNaturalNumber0(X1)),inference(cn,[status(thm)],[2450,theory(equality)])).
% cnf(2505,plain,(sdtasdt0(sz00,sz00)=sz00),inference(spm,[status(thm)],[2451,115,theory(equality)])).
% cnf(2519,plain,(sdtasdt0(sz10,sz00)=sz00|~aNaturalNumber0(sz00)),inference(spm,[status(thm)],[273,2505,theory(equality)])).
% cnf(2544,plain,(sdtasdt0(sz10,sz00)=sz00|$false),inference(rw,[status(thm)],[2519,31,theory(equality)])).
% cnf(2545,plain,(sdtasdt0(sz10,sz00)=sz00),inference(cn,[status(thm)],[2544,theory(equality)])).
% cnf(3509,plain,(sdtlseqdt0(X1,sdtpldt0(X1,X2))|~aNaturalNumber0(X2)|~aNaturalNumber0(X1)),inference(csr,[status(thm)],[284,118])).
% cnf(3524,plain,(sdtlseqdt0(X1,sdtpldt0(X2,X1))|~aNaturalNumber0(X2)|~aNaturalNumber0(X1)),inference(spm,[status(thm)],[3509,121,theory(equality)])).
% cnf(4662,plain,(sdtasdt0(X1,X2)=sz00|sz00=sz10|sdtasdt0(X1,sdtasdt0(sz10,X2))!=sz00|~aNaturalNumber0(sz10)|~aNaturalNumber0(X2)|~aNaturalNumber0(X1)),inference(spm,[status(thm)],[1890,2276,theory(equality)])).
% cnf(4874,plain,(sdtasdt0(X1,X2)=sz00|sz00=sz10|sdtasdt0(X1,sdtasdt0(sz10,X2))!=sz00|$false|~aNaturalNumber0(X2)|~aNaturalNumber0(X1)),inference(rw,[status(thm)],[4662,115,theory(equality)])).
% cnf(4875,plain,(sdtasdt0(X1,X2)=sz00|sz00=sz10|sdtasdt0(X1,sdtasdt0(sz10,X2))!=sz00|~aNaturalNumber0(X2)|~aNaturalNumber0(X1)),inference(cn,[status(thm)],[4874,theory(equality)])).
% cnf(4876,plain,(sdtasdt0(X1,X2)=sz00|sdtasdt0(X1,sdtasdt0(sz10,X2))!=sz00|~aNaturalNumber0(X2)|~aNaturalNumber0(X1)),inference(sr,[status(thm)],[4875,114,theory(equality)])).
% cnf(6162,plain,(sdtasdt0(X1,X2)=sz00|sdtasdt0(X1,sdtasdt0(X2,sz10))!=sz00|~aNaturalNumber0(X2)|~aNaturalNumber0(X1)|~aNaturalNumber0(sz10)),inference(spm,[status(thm)],[4876,37,theory(equality)])).
% cnf(6208,plain,(sdtasdt0(X1,X2)=sz00|sdtasdt0(X1,sdtasdt0(X2,sz10))!=sz00|~aNaturalNumber0(X2)|~aNaturalNumber0(X1)|$false),inference(rw,[status(thm)],[6162,115,theory(equality)])).
% cnf(6209,plain,(sdtasdt0(X1,X2)=sz00|sdtasdt0(X1,sdtasdt0(X2,sz10))!=sz00|~aNaturalNumber0(X2)|~aNaturalNumber0(X1)),inference(cn,[status(thm)],[6208,theory(equality)])).
% cnf(6259,plain,(sdtasdt0(sz10,X1)=sz00|sdtasdt0(X1,sz10)!=sz00|~aNaturalNumber0(X1)|~aNaturalNumber0(sz10)),inference(spm,[status(thm)],[6209,273,theory(equality)])).
% cnf(6302,plain,(sdtasdt0(sz10,X1)=sz00|sdtasdt0(X1,sz10)!=sz00|~aNaturalNumber0(X1)|$false),inference(rw,[status(thm)],[6259,115,theory(equality)])).
% cnf(6303,plain,(sdtasdt0(sz10,X1)=sz00|sdtasdt0(X1,sz10)!=sz00|~aNaturalNumber0(X1)),inference(cn,[status(thm)],[6302,theory(equality)])).
% cnf(7247,plain,(sdtasdt0(sz10,X1)=sz00|X1!=sz00|~aNaturalNumber0(X1)),inference(spm,[status(thm)],[6303,129,theory(equality)])).
% cnf(7281,plain,(sdtasdt0(sz10,X1)=sz00|X1!=sz00),inference(csr,[status(thm)],[7247,1558])).
% cnf(7363,plain,(sdtasdt0(X1,X2)=sz00|sdtasdt0(X1,sz00)!=sz00|~aNaturalNumber0(X2)|~aNaturalNumber0(X1)|X2!=sz00),inference(spm,[status(thm)],[4876,7281,theory(equality)])).
% cnf(8344,plain,(sdtasdt0(X1,X2)=sz00|sdtasdt0(X1,sz00)!=sz00|X2!=sz00|~aNaturalNumber0(X1)),inference(csr,[status(thm)],[7363,1558])).
% cnf(8345,plain,(sdtasdt0(X1,X2)=sz00|X2!=sz00|~aNaturalNumber0(X1)),inference(csr,[status(thm)],[8344,45])).
% cnf(8364,negated_conjecture,(~sdtlseqdt0(xn,sz00)|xn!=sz00|~aNaturalNumber0(xm)),inference(spm,[status(thm)],[183,8345,theory(equality)])).
% cnf(8497,negated_conjecture,(~sdtlseqdt0(xn,sz00)|xn!=sz00|$false),inference(rw,[status(thm)],[8364,77,theory(equality)])).
% cnf(8498,negated_conjecture,(~sdtlseqdt0(xn,sz00)|xn!=sz00),inference(cn,[status(thm)],[8497,theory(equality)])).
% cnf(8549,negated_conjecture,(~sdtlseqdt0(xn,sz00)),inference(csr,[status(thm)],[8498,725])).
% cnf(9818,plain,(sdtasdt0(sz10,X1)=sdtpldt0(sdtasdt0(sz10,sz00),X1)|~aNaturalNumber0(sz00)|~aNaturalNumber0(X1)),inference(spm,[status(thm)],[416,86,theory(equality)])).
% cnf(9909,plain,(sdtasdt0(sz10,X1)=sdtpldt0(sz00,X1)|~aNaturalNumber0(sz00)|~aNaturalNumber0(X1)),inference(rw,[status(thm)],[9818,2545,theory(equality)])).
% cnf(9910,plain,(sdtasdt0(sz10,X1)=sdtpldt0(sz00,X1)|$false|~aNaturalNumber0(X1)),inference(rw,[status(thm)],[9909,31,theory(equality)])).
% cnf(9911,plain,(sdtasdt0(sz10,X1)=sdtpldt0(sz00,X1)|~aNaturalNumber0(X1)),inference(cn,[status(thm)],[9910,theory(equality)])).
% cnf(12164,plain,(sdtpldt0(sz00,X1)=sz00|X1!=sz00|~aNaturalNumber0(sz10)|~aNaturalNumber0(X1)),inference(spm,[status(thm)],[8345,9911,theory(equality)])).
% cnf(12398,plain,(sdtpldt0(sz00,X1)=sz00|X1!=sz00|$false|~aNaturalNumber0(X1)),inference(rw,[status(thm)],[12164,115,theory(equality)])).
% cnf(12399,plain,(sdtpldt0(sz00,X1)=sz00|X1!=sz00|~aNaturalNumber0(X1)),inference(cn,[status(thm)],[12398,theory(equality)])).
% cnf(13278,plain,(sdtpldt0(sz00,X1)=sz00|X1!=sz00),inference(csr,[status(thm)],[12399,1558])).
% cnf(13288,plain,(sdtlseqdt0(X1,sz00)|~aNaturalNumber0(sz00)|~aNaturalNumber0(X1)|X1!=sz00),inference(spm,[status(thm)],[3524,13278,theory(equality)])).
% cnf(13339,plain,(sdtlseqdt0(X1,sz00)|$false|~aNaturalNumber0(X1)|X1!=sz00),inference(rw,[status(thm)],[13288,31,theory(equality)])).
% cnf(13340,plain,(sdtlseqdt0(X1,sz00)|~aNaturalNumber0(X1)|X1!=sz00),inference(cn,[status(thm)],[13339,theory(equality)])).
% cnf(13403,plain,(sdtlseqdt0(X1,sz00)|X1!=sz00),inference(csr,[status(thm)],[13340,1558])).
% cnf(13409,negated_conjecture,(xn!=sz00),inference(spm,[status(thm)],[8549,13403,theory(equality)])).
% cnf(15677,negated_conjecture,(xm=sz10|sz00=xn|~sdtlseqdt0(sz10,xm)|~aNaturalNumber0(xn)|~aNaturalNumber0(xm)),inference(spm,[status(thm)],[145,456,theory(equality)])).
% cnf(15717,negated_conjecture,(xm=sz10|sz00=xn|~sdtlseqdt0(sz10,xm)|$false|~aNaturalNumber0(xm)),inference(rw,[status(thm)],[15677,76,theory(equality)])).
% cnf(15718,negated_conjecture,(xm=sz10|sz00=xn|~sdtlseqdt0(sz10,xm)|$false|$false),inference(rw,[status(thm)],[15717,77,theory(equality)])).
% cnf(15719,negated_conjecture,(xm=sz10|sz00=xn|~sdtlseqdt0(sz10,xm)),inference(cn,[status(thm)],[15718,theory(equality)])).
% cnf(15720,negated_conjecture,(xm=sz10|~sdtlseqdt0(sz10,xm)),inference(sr,[status(thm)],[15719,13409,theory(equality)])).
% cnf(15764,negated_conjecture,(xm=sz10),inference(csr,[status(thm)],[15720,991])).
% cnf(15817,negated_conjecture,(~sdtlseqdt0(xn,sdtasdt0(sz10,xn))),inference(rw,[status(thm)],[183,15764,theory(equality)])).
% cnf(15823,negated_conjecture,(~sdtlseqdt0(xn,xn)|~aNaturalNumber0(xn)),inference(spm,[status(thm)],[15817,128,theory(equality)])).
% cnf(15830,negated_conjecture,($false|~aNaturalNumber0(xn)),inference(rw,[status(thm)],[15823,666,theory(equality)])).
% cnf(15831,negated_conjecture,($false|$false),inference(rw,[status(thm)],[15830,76,theory(equality)])).
% cnf(15832,negated_conjecture,($false),inference(cn,[status(thm)],[15831,theory(equality)])).
% cnf(15833,negated_conjecture,($false),15832,['proof']).
% # SZS output end CNFRefutation
% # Processed clauses : 1111
% # ...of these trivial : 36
% # ...subsumed : 751
% # ...remaining for further processing: 324
% # Other redundant clauses eliminated : 19
% # Clauses deleted for lack of memory : 0
% # Backward-subsumed : 29
% # Backward-rewritten : 49
% # Generated clauses : 6322
% # ...of the previous two non-trivial : 5486
% # Contextual simplify-reflections : 464
% # Paramodulations : 6277
% # Factorizations : 0
% # Equation resolutions : 42
% # Current number of processed clauses: 199
% # Positive orientable unit clauses: 16
% # Positive unorientable unit clauses: 0
% # Negative unit clauses : 5
% # Non-unit-clauses : 178
% # Current number of unprocessed clauses: 4076
% # ...number of literals in the above : 22974
% # Clause-clause subsumption calls (NU) : 9094
% # Rec. Clause-clause subsumption calls : 5496
% # Unit Clause-clause subsumption calls : 69
% # Rewrite failures with RHS unbound : 0
% # Indexed BW rewrite attempts : 10
% # Indexed BW rewrite successes : 10
% # Backwards rewriting index: 122 leaves, 1.55+/-1.421 terms/leaf
% # Paramod-from index: 95 leaves, 1.13+/-0.464 terms/leaf
% # Paramod-into index: 106 leaves, 1.52+/-1.354 terms/leaf
% # -------------------------------------------------
% # User time : 0.286 s
% # System time : 0.012 s
% # Total time : 0.298 s
% # Maximum resident set size: 0 pages
% PrfWatch: 0.60 CPU 0.68 WC
% FINAL PrfWatch: 0.60 CPU 0.68 WC
% SZS output end Solution for /tmp/SystemOnTPTP20250/NUM463+1.tptp
%
%------------------------------------------------------------------------------