TSTP Solution File: NUM459+2 by SRASS---0.1
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- Process Solution
%------------------------------------------------------------------------------
% File : SRASS---0.1
% Problem : NUM459+2 : TPTP v5.0.0. Released v4.0.0.
% Transfm : none
% Format : tptp
% Command : SRASS -q2 -a 0 10 10 10 -i3 -n60 %s
% Computer : 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 19:19:27 EST 2010
% Result : Theorem 2.49s
% Output : Solution 2.49s
% 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/SystemOnTPTP25708/NUM459+2.tptp
% Adding relevance values
% Extracting the conjecture
% Sorting axioms by relevance
% Looking for THM ...
% found
% SZS status THM for /tmp/SystemOnTPTP25708/NUM459+2.tptp
% SZS output start Solution for /tmp/SystemOnTPTP25708/NUM459+2.tptp
% TreeLimitedRun: ----------------------------------------------------------
% TreeLimitedRun: /home/graph/tptp/Systems/EP---1.2/eproof --print-statistics -xAuto -tAuto --cpu-limit=60 --proof-time-unlimited --memory-limit=Auto --tstp-in --tstp-out /tmp/SRASS.s.p
% TreeLimitedRun: CPU time limit is 60s
% TreeLimitedRun: WC time limit is 120s
% TreeLimitedRun: PID is 25804
% TreeLimitedRun: ----------------------------------------------------------
% PrfWatch: 0.00 CPU 0.02 WC
% # Preprocessing time : 0.015 s
% # Problem is unsatisfiable (or provable), constructing proof object
% # SZS status Theorem
% # SZS output start CNFRefutation.
% fof(1, axiom,![X1]:![X2]:((aNaturalNumber0(X1)&aNaturalNumber0(X2))=>aNaturalNumber0(sdtpldt0(X1,X2))),file('/tmp/SRASS.s.p', mSortsB)).
% fof(2, axiom,![X1]:![X2]:((aNaturalNumber0(X1)&aNaturalNumber0(X2))=>sdtpldt0(X1,X2)=sdtpldt0(X2,X1)),file('/tmp/SRASS.s.p', mAddComm)).
% fof(3, 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(4, 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(5, axiom,![X1]:![X2]:((aNaturalNumber0(X1)&aNaturalNumber0(X2))=>(sdtlseqdt0(X1,X2)<=>?[X3]:(aNaturalNumber0(X3)&sdtpldt0(X1,X3)=X2))),file('/tmp/SRASS.s.p', mDefLE)).
% fof(7, axiom,(aNaturalNumber0(xm)&aNaturalNumber0(xn)),file('/tmp/SRASS.s.p', m__745)).
% fof(8, 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(10, axiom,![X1]:(aNaturalNumber0(X1)=>(sdtpldt0(X1,sz00)=X1&X1=sdtpldt0(sz00,X1))),file('/tmp/SRASS.s.p', m_AddZero)).
% fof(11, axiom,![X1]:![X2]:((aNaturalNumber0(X1)&aNaturalNumber0(X2))=>(sdtpldt0(X1,X2)=sz00=>(X1=sz00&X2=sz00))),file('/tmp/SRASS.s.p', mZeroAdd)).
% fof(12, axiom,aNaturalNumber0(sz00),file('/tmp/SRASS.s.p', mSortsC)).
% fof(22, conjecture,((((?[X1]:(aNaturalNumber0(X1)&sdtpldt0(xm,X1)=xn)&sdtlseqdt0(xm,xn))&?[X1]:(aNaturalNumber0(X1)&sdtpldt0(xn,X1)=xm))&sdtlseqdt0(xn,xm))=>xm=xn),file('/tmp/SRASS.s.p', m__)).
% fof(23, negated_conjecture,~(((((?[X1]:(aNaturalNumber0(X1)&sdtpldt0(xm,X1)=xn)&sdtlseqdt0(xm,xn))&?[X1]:(aNaturalNumber0(X1)&sdtpldt0(xn,X1)=xm))&sdtlseqdt0(xn,xm))=>xm=xn)),inference(assume_negation,[status(cth)],[22])).
% fof(25, plain,![X1]:![X2]:((~(aNaturalNumber0(X1))|~(aNaturalNumber0(X2)))|aNaturalNumber0(sdtpldt0(X1,X2))),inference(fof_nnf,[status(thm)],[1])).
% fof(26, plain,![X3]:![X4]:((~(aNaturalNumber0(X3))|~(aNaturalNumber0(X4)))|aNaturalNumber0(sdtpldt0(X3,X4))),inference(variable_rename,[status(thm)],[25])).
% cnf(27,plain,(aNaturalNumber0(sdtpldt0(X1,X2))|~aNaturalNumber0(X2)|~aNaturalNumber0(X1)),inference(split_conjunct,[status(thm)],[26])).
% fof(28, plain,![X1]:![X2]:((~(aNaturalNumber0(X1))|~(aNaturalNumber0(X2)))|sdtpldt0(X1,X2)=sdtpldt0(X2,X1)),inference(fof_nnf,[status(thm)],[2])).
% fof(29, plain,![X3]:![X4]:((~(aNaturalNumber0(X3))|~(aNaturalNumber0(X4)))|sdtpldt0(X3,X4)=sdtpldt0(X4,X3)),inference(variable_rename,[status(thm)],[28])).
% cnf(30,plain,(sdtpldt0(X1,X2)=sdtpldt0(X2,X1)|~aNaturalNumber0(X2)|~aNaturalNumber0(X1)),inference(split_conjunct,[status(thm)],[29])).
% fof(31, 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)],[3])).
% fof(32, 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)],[31])).
% cnf(33,plain,(sdtpldt0(sdtpldt0(X1,X2),X3)=sdtpldt0(X1,sdtpldt0(X2,X3))|~aNaturalNumber0(X3)|~aNaturalNumber0(X2)|~aNaturalNumber0(X1)),inference(split_conjunct,[status(thm)],[32])).
% fof(34, 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)],[4])).
% fof(35, 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)],[34])).
% fof(36, 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)],[35])).
% cnf(37,plain,(X2=X1|~aNaturalNumber0(X1)|~aNaturalNumber0(X2)|~aNaturalNumber0(X3)|sdtpldt0(X2,X3)!=sdtpldt0(X1,X3)),inference(split_conjunct,[status(thm)],[36])).
% cnf(38,plain,(X2=X1|~aNaturalNumber0(X1)|~aNaturalNumber0(X2)|~aNaturalNumber0(X3)|sdtpldt0(X3,X2)!=sdtpldt0(X3,X1)),inference(split_conjunct,[status(thm)],[36])).
% fof(39, 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)],[5])).
% fof(40, 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)],[39])).
% fof(41, 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)],[40])).
% fof(42, 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)],[41])).
% fof(43, 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)],[42])).
% cnf(44,plain,(sdtpldt0(X2,esk1_2(X2,X1))=X1|~aNaturalNumber0(X1)|~aNaturalNumber0(X2)|~sdtlseqdt0(X2,X1)),inference(split_conjunct,[status(thm)],[43])).
% cnf(45,plain,(aNaturalNumber0(esk1_2(X2,X1))|~aNaturalNumber0(X1)|~aNaturalNumber0(X2)|~sdtlseqdt0(X2,X1)),inference(split_conjunct,[status(thm)],[43])).
% cnf(46,plain,(sdtlseqdt0(X2,X1)|~aNaturalNumber0(X1)|~aNaturalNumber0(X2)|sdtpldt0(X2,X3)!=X1|~aNaturalNumber0(X3)),inference(split_conjunct,[status(thm)],[43])).
% cnf(50,plain,(aNaturalNumber0(xn)),inference(split_conjunct,[status(thm)],[7])).
% cnf(51,plain,(aNaturalNumber0(xm)),inference(split_conjunct,[status(thm)],[7])).
% fof(52, 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)],[8])).
% fof(53, 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)],[52])).
% fof(54, 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)],[53])).
% fof(55, 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)],[54])).
% cnf(57,plain,(sdtpldt0(X2,X3)=X1|~aNaturalNumber0(X1)|~aNaturalNumber0(X2)|~sdtlseqdt0(X2,X1)|X3!=sdtmndt0(X1,X2)),inference(split_conjunct,[status(thm)],[55])).
% cnf(58,plain,(aNaturalNumber0(X3)|~aNaturalNumber0(X1)|~aNaturalNumber0(X2)|~sdtlseqdt0(X2,X1)|X3!=sdtmndt0(X1,X2)),inference(split_conjunct,[status(thm)],[55])).
% fof(64, plain,![X1]:(~(aNaturalNumber0(X1))|(sdtpldt0(X1,sz00)=X1&X1=sdtpldt0(sz00,X1))),inference(fof_nnf,[status(thm)],[10])).
% fof(65, plain,![X2]:(~(aNaturalNumber0(X2))|(sdtpldt0(X2,sz00)=X2&X2=sdtpldt0(sz00,X2))),inference(variable_rename,[status(thm)],[64])).
% fof(66, plain,![X2]:((sdtpldt0(X2,sz00)=X2|~(aNaturalNumber0(X2)))&(X2=sdtpldt0(sz00,X2)|~(aNaturalNumber0(X2)))),inference(distribute,[status(thm)],[65])).
% cnf(68,plain,(sdtpldt0(X1,sz00)=X1|~aNaturalNumber0(X1)),inference(split_conjunct,[status(thm)],[66])).
% fof(69, plain,![X1]:![X2]:((~(aNaturalNumber0(X1))|~(aNaturalNumber0(X2)))|(~(sdtpldt0(X1,X2)=sz00)|(X1=sz00&X2=sz00))),inference(fof_nnf,[status(thm)],[11])).
% fof(70, plain,![X3]:![X4]:((~(aNaturalNumber0(X3))|~(aNaturalNumber0(X4)))|(~(sdtpldt0(X3,X4)=sz00)|(X3=sz00&X4=sz00))),inference(variable_rename,[status(thm)],[69])).
% fof(71, plain,![X3]:![X4]:(((X3=sz00|~(sdtpldt0(X3,X4)=sz00))|(~(aNaturalNumber0(X3))|~(aNaturalNumber0(X4))))&((X4=sz00|~(sdtpldt0(X3,X4)=sz00))|(~(aNaturalNumber0(X3))|~(aNaturalNumber0(X4))))),inference(distribute,[status(thm)],[70])).
% cnf(72,plain,(X1=sz00|~aNaturalNumber0(X1)|~aNaturalNumber0(X2)|sdtpldt0(X2,X1)!=sz00),inference(split_conjunct,[status(thm)],[71])).
% cnf(74,plain,(aNaturalNumber0(sz00)),inference(split_conjunct,[status(thm)],[12])).
% fof(107, negated_conjecture,((((?[X1]:(aNaturalNumber0(X1)&sdtpldt0(xm,X1)=xn)&sdtlseqdt0(xm,xn))&?[X1]:(aNaturalNumber0(X1)&sdtpldt0(xn,X1)=xm))&sdtlseqdt0(xn,xm))&~(xm=xn)),inference(fof_nnf,[status(thm)],[23])).
% fof(108, negated_conjecture,((((?[X2]:(aNaturalNumber0(X2)&sdtpldt0(xm,X2)=xn)&sdtlseqdt0(xm,xn))&?[X3]:(aNaturalNumber0(X3)&sdtpldt0(xn,X3)=xm))&sdtlseqdt0(xn,xm))&~(xm=xn)),inference(variable_rename,[status(thm)],[107])).
% fof(109, negated_conjecture,(((((aNaturalNumber0(esk2_0)&sdtpldt0(xm,esk2_0)=xn)&sdtlseqdt0(xm,xn))&(aNaturalNumber0(esk3_0)&sdtpldt0(xn,esk3_0)=xm))&sdtlseqdt0(xn,xm))&~(xm=xn)),inference(skolemize,[status(esa)],[108])).
% cnf(110,negated_conjecture,(xm!=xn),inference(split_conjunct,[status(thm)],[109])).
% cnf(111,negated_conjecture,(sdtlseqdt0(xn,xm)),inference(split_conjunct,[status(thm)],[109])).
% cnf(112,negated_conjecture,(sdtpldt0(xn,esk3_0)=xm),inference(split_conjunct,[status(thm)],[109])).
% cnf(113,negated_conjecture,(aNaturalNumber0(esk3_0)),inference(split_conjunct,[status(thm)],[109])).
% cnf(115,negated_conjecture,(sdtpldt0(xm,esk2_0)=xn),inference(split_conjunct,[status(thm)],[109])).
% cnf(116,negated_conjecture,(aNaturalNumber0(esk2_0)),inference(split_conjunct,[status(thm)],[109])).
% cnf(196,plain,(sdtlseqdt0(X1,sdtpldt0(X1,X2))|~aNaturalNumber0(X2)|~aNaturalNumber0(X1)|~aNaturalNumber0(sdtpldt0(X1,X2))),inference(er,[status(thm)],[46,theory(equality)])).
% cnf(201,plain,(sdtlseqdt0(X1,X2)|sdtpldt0(X3,X1)!=X2|~aNaturalNumber0(X3)|~aNaturalNumber0(X1)|~aNaturalNumber0(X2)),inference(spm,[status(thm)],[46,30,theory(equality)])).
% cnf(215,plain,(aNaturalNumber0(sdtmndt0(X1,X2))|~sdtlseqdt0(X2,X1)|~aNaturalNumber0(X2)|~aNaturalNumber0(X1)),inference(er,[status(thm)],[58,theory(equality)])).
% cnf(218,negated_conjecture,(X1=esk3_0|sdtpldt0(xn,X1)!=xm|~aNaturalNumber0(xn)|~aNaturalNumber0(esk3_0)|~aNaturalNumber0(X1)),inference(spm,[status(thm)],[38,112,theory(equality)])).
% cnf(231,negated_conjecture,(X1=esk3_0|sdtpldt0(xn,X1)!=xm|$false|~aNaturalNumber0(esk3_0)|~aNaturalNumber0(X1)),inference(rw,[status(thm)],[218,50,theory(equality)])).
% cnf(232,negated_conjecture,(X1=esk3_0|sdtpldt0(xn,X1)!=xm|$false|$false|~aNaturalNumber0(X1)),inference(rw,[status(thm)],[231,113,theory(equality)])).
% cnf(233,negated_conjecture,(X1=esk3_0|sdtpldt0(xn,X1)!=xm|~aNaturalNumber0(X1)),inference(cn,[status(thm)],[232,theory(equality)])).
% cnf(251,negated_conjecture,(X1=xn|sdtpldt0(X1,esk3_0)!=xm|~aNaturalNumber0(esk3_0)|~aNaturalNumber0(xn)|~aNaturalNumber0(X1)),inference(spm,[status(thm)],[37,112,theory(equality)])).
% cnf(264,negated_conjecture,(X1=xn|sdtpldt0(X1,esk3_0)!=xm|$false|~aNaturalNumber0(xn)|~aNaturalNumber0(X1)),inference(rw,[status(thm)],[251,113,theory(equality)])).
% cnf(265,negated_conjecture,(X1=xn|sdtpldt0(X1,esk3_0)!=xm|$false|$false|~aNaturalNumber0(X1)),inference(rw,[status(thm)],[264,50,theory(equality)])).
% cnf(266,negated_conjecture,(X1=xn|sdtpldt0(X1,esk3_0)!=xm|~aNaturalNumber0(X1)),inference(cn,[status(thm)],[265,theory(equality)])).
% cnf(363,negated_conjecture,(sdtpldt0(xm,X1)=sdtpldt0(xn,sdtpldt0(esk3_0,X1))|~aNaturalNumber0(X1)|~aNaturalNumber0(esk3_0)|~aNaturalNumber0(xn)),inference(spm,[status(thm)],[33,112,theory(equality)])).
% cnf(364,negated_conjecture,(sdtpldt0(xn,X1)=sdtpldt0(xm,sdtpldt0(esk2_0,X1))|~aNaturalNumber0(X1)|~aNaturalNumber0(esk2_0)|~aNaturalNumber0(xm)),inference(spm,[status(thm)],[33,115,theory(equality)])).
% cnf(372,negated_conjecture,(sdtpldt0(xm,X1)=sdtpldt0(xn,sdtpldt0(esk3_0,X1))|~aNaturalNumber0(X1)|$false|~aNaturalNumber0(xn)),inference(rw,[status(thm)],[363,113,theory(equality)])).
% cnf(373,negated_conjecture,(sdtpldt0(xm,X1)=sdtpldt0(xn,sdtpldt0(esk3_0,X1))|~aNaturalNumber0(X1)|$false|$false),inference(rw,[status(thm)],[372,50,theory(equality)])).
% cnf(374,negated_conjecture,(sdtpldt0(xm,X1)=sdtpldt0(xn,sdtpldt0(esk3_0,X1))|~aNaturalNumber0(X1)),inference(cn,[status(thm)],[373,theory(equality)])).
% cnf(375,negated_conjecture,(sdtpldt0(xn,X1)=sdtpldt0(xm,sdtpldt0(esk2_0,X1))|~aNaturalNumber0(X1)|$false|~aNaturalNumber0(xm)),inference(rw,[status(thm)],[364,116,theory(equality)])).
% cnf(376,negated_conjecture,(sdtpldt0(xn,X1)=sdtpldt0(xm,sdtpldt0(esk2_0,X1))|~aNaturalNumber0(X1)|$false|$false),inference(rw,[status(thm)],[375,51,theory(equality)])).
% cnf(377,negated_conjecture,(sdtpldt0(xn,X1)=sdtpldt0(xm,sdtpldt0(esk2_0,X1))|~aNaturalNumber0(X1)),inference(cn,[status(thm)],[376,theory(equality)])).
% cnf(380,plain,(sdtpldt0(X1,sdtmndt0(X2,X1))=X2|~sdtlseqdt0(X1,X2)|~aNaturalNumber0(X1)|~aNaturalNumber0(X2)),inference(er,[status(thm)],[57,theory(equality)])).
% cnf(655,negated_conjecture,(X1=xn|sdtpldt0(esk3_0,X1)!=xm|~aNaturalNumber0(X1)|~aNaturalNumber0(esk3_0)),inference(spm,[status(thm)],[266,30,theory(equality)])).
% cnf(662,negated_conjecture,(X1=xn|sdtpldt0(esk3_0,X1)!=xm|~aNaturalNumber0(X1)|$false),inference(rw,[status(thm)],[655,113,theory(equality)])).
% cnf(663,negated_conjecture,(X1=xn|sdtpldt0(esk3_0,X1)!=xm|~aNaturalNumber0(X1)),inference(cn,[status(thm)],[662,theory(equality)])).
% cnf(750,negated_conjecture,(sdtpldt0(xn,esk3_0)=sdtpldt0(xm,sz00)|~aNaturalNumber0(sz00)|~aNaturalNumber0(esk3_0)),inference(spm,[status(thm)],[374,68,theory(equality)])).
% cnf(773,negated_conjecture,(xm=sdtpldt0(xm,sz00)|~aNaturalNumber0(sz00)|~aNaturalNumber0(esk3_0)),inference(rw,[status(thm)],[750,112,theory(equality)])).
% cnf(774,negated_conjecture,(xm=sdtpldt0(xm,sz00)|$false|~aNaturalNumber0(esk3_0)),inference(rw,[status(thm)],[773,74,theory(equality)])).
% cnf(775,negated_conjecture,(xm=sdtpldt0(xm,sz00)|$false|$false),inference(rw,[status(thm)],[774,113,theory(equality)])).
% cnf(776,negated_conjecture,(xm=sdtpldt0(xm,sz00)),inference(cn,[status(thm)],[775,theory(equality)])).
% cnf(781,negated_conjecture,(sdtpldt0(sz00,xm)=xm|~aNaturalNumber0(xm)|~aNaturalNumber0(sz00)),inference(spm,[status(thm)],[30,776,theory(equality)])).
% cnf(788,negated_conjecture,(sz00=X1|xm!=sdtpldt0(xm,X1)|~aNaturalNumber0(xm)|~aNaturalNumber0(X1)|~aNaturalNumber0(sz00)),inference(spm,[status(thm)],[38,776,theory(equality)])).
% cnf(793,negated_conjecture,(sdtpldt0(sz00,xm)=xm|$false|~aNaturalNumber0(sz00)),inference(rw,[status(thm)],[781,51,theory(equality)])).
% cnf(794,negated_conjecture,(sdtpldt0(sz00,xm)=xm|$false|$false),inference(rw,[status(thm)],[793,74,theory(equality)])).
% cnf(795,negated_conjecture,(sdtpldt0(sz00,xm)=xm),inference(cn,[status(thm)],[794,theory(equality)])).
% cnf(815,negated_conjecture,(sz00=X1|xm!=sdtpldt0(xm,X1)|$false|~aNaturalNumber0(X1)|~aNaturalNumber0(sz00)),inference(rw,[status(thm)],[788,51,theory(equality)])).
% cnf(816,negated_conjecture,(sz00=X1|xm!=sdtpldt0(xm,X1)|$false|~aNaturalNumber0(X1)|$false),inference(rw,[status(thm)],[815,74,theory(equality)])).
% cnf(817,negated_conjecture,(sz00=X1|xm!=sdtpldt0(xm,X1)|~aNaturalNumber0(X1)),inference(cn,[status(thm)],[816,theory(equality)])).
% cnf(1037,negated_conjecture,(sz00=sdtpldt0(esk2_0,X1)|sdtpldt0(xn,X1)!=xm|~aNaturalNumber0(sdtpldt0(esk2_0,X1))|~aNaturalNumber0(X1)),inference(spm,[status(thm)],[817,377,theory(equality)])).
% cnf(1038,negated_conjecture,(sdtpldt0(xm,esk2_0)=sdtpldt0(xn,sz00)|~aNaturalNumber0(sz00)|~aNaturalNumber0(esk2_0)),inference(spm,[status(thm)],[377,68,theory(equality)])).
% cnf(1061,negated_conjecture,(xn=sdtpldt0(xn,sz00)|~aNaturalNumber0(sz00)|~aNaturalNumber0(esk2_0)),inference(rw,[status(thm)],[1038,115,theory(equality)])).
% cnf(1062,negated_conjecture,(xn=sdtpldt0(xn,sz00)|$false|~aNaturalNumber0(esk2_0)),inference(rw,[status(thm)],[1061,74,theory(equality)])).
% cnf(1063,negated_conjecture,(xn=sdtpldt0(xn,sz00)|$false|$false),inference(rw,[status(thm)],[1062,116,theory(equality)])).
% cnf(1064,negated_conjecture,(xn=sdtpldt0(xn,sz00)),inference(cn,[status(thm)],[1063,theory(equality)])).
% cnf(1341,plain,(sdtlseqdt0(X1,sdtpldt0(X1,X2))|~aNaturalNumber0(X2)|~aNaturalNumber0(X1)),inference(csr,[status(thm)],[196,27])).
% cnf(1351,negated_conjecture,(sdtlseqdt0(xn,sdtpldt0(xm,X1))|~aNaturalNumber0(sdtpldt0(esk3_0,X1))|~aNaturalNumber0(xn)|~aNaturalNumber0(X1)),inference(spm,[status(thm)],[1341,374,theory(equality)])).
% cnf(1375,negated_conjecture,(sdtlseqdt0(xn,sdtpldt0(xm,X1))|~aNaturalNumber0(sdtpldt0(esk3_0,X1))|$false|~aNaturalNumber0(X1)),inference(rw,[status(thm)],[1351,50,theory(equality)])).
% cnf(1376,negated_conjecture,(sdtlseqdt0(xn,sdtpldt0(xm,X1))|~aNaturalNumber0(sdtpldt0(esk3_0,X1))|~aNaturalNumber0(X1)),inference(cn,[status(thm)],[1375,theory(equality)])).
% cnf(1516,negated_conjecture,(sdtlseqdt0(xn,sdtpldt0(xm,X1))|~aNaturalNumber0(X1)|~aNaturalNumber0(esk3_0)),inference(spm,[status(thm)],[1376,27,theory(equality)])).
% cnf(1531,negated_conjecture,(sdtlseqdt0(xn,sdtpldt0(xm,X1))|~aNaturalNumber0(X1)|$false),inference(rw,[status(thm)],[1516,113,theory(equality)])).
% cnf(1532,negated_conjecture,(sdtlseqdt0(xn,sdtpldt0(xm,X1))|~aNaturalNumber0(X1)),inference(cn,[status(thm)],[1531,theory(equality)])).
% cnf(1553,negated_conjecture,(sdtlseqdt0(esk3_0,X1)|xm!=X1|~aNaturalNumber0(xn)|~aNaturalNumber0(esk3_0)|~aNaturalNumber0(X1)),inference(spm,[status(thm)],[201,112,theory(equality)])).
% cnf(1572,negated_conjecture,(sdtlseqdt0(esk3_0,X1)|xm!=X1|$false|~aNaturalNumber0(esk3_0)|~aNaturalNumber0(X1)),inference(rw,[status(thm)],[1553,50,theory(equality)])).
% cnf(1573,negated_conjecture,(sdtlseqdt0(esk3_0,X1)|xm!=X1|$false|$false|~aNaturalNumber0(X1)),inference(rw,[status(thm)],[1572,113,theory(equality)])).
% cnf(1574,negated_conjecture,(sdtlseqdt0(esk3_0,X1)|xm!=X1|~aNaturalNumber0(X1)),inference(cn,[status(thm)],[1573,theory(equality)])).
% cnf(1734,negated_conjecture,(sdtlseqdt0(xn,sdtpldt0(X1,xm))|~aNaturalNumber0(X1)|~aNaturalNumber0(xm)),inference(spm,[status(thm)],[1532,30,theory(equality)])).
% cnf(1747,negated_conjecture,(sdtlseqdt0(xn,sdtpldt0(X1,xm))|~aNaturalNumber0(X1)|$false),inference(rw,[status(thm)],[1734,51,theory(equality)])).
% cnf(1748,negated_conjecture,(sdtlseqdt0(xn,sdtpldt0(X1,xm))|~aNaturalNumber0(X1)),inference(cn,[status(thm)],[1747,theory(equality)])).
% cnf(1887,negated_conjecture,(aNaturalNumber0(sdtmndt0(xm,xn))|~aNaturalNumber0(xn)|~aNaturalNumber0(xm)),inference(spm,[status(thm)],[215,111,theory(equality)])).
% cnf(1907,negated_conjecture,(aNaturalNumber0(sdtmndt0(xm,xn))|$false|~aNaturalNumber0(xm)),inference(rw,[status(thm)],[1887,50,theory(equality)])).
% cnf(1908,negated_conjecture,(aNaturalNumber0(sdtmndt0(xm,xn))|$false|$false),inference(rw,[status(thm)],[1907,51,theory(equality)])).
% cnf(1909,negated_conjecture,(aNaturalNumber0(sdtmndt0(xm,xn))),inference(cn,[status(thm)],[1908,theory(equality)])).
% cnf(2226,negated_conjecture,(sdtlseqdt0(esk3_0,xm)|~aNaturalNumber0(xm)),inference(er,[status(thm)],[1574,theory(equality)])).
% cnf(2227,negated_conjecture,(sdtlseqdt0(esk3_0,xm)|$false),inference(rw,[status(thm)],[2226,51,theory(equality)])).
% cnf(2228,negated_conjecture,(sdtlseqdt0(esk3_0,xm)),inference(cn,[status(thm)],[2227,theory(equality)])).
% cnf(2230,negated_conjecture,(aNaturalNumber0(esk1_2(esk3_0,xm))|~aNaturalNumber0(esk3_0)|~aNaturalNumber0(xm)),inference(spm,[status(thm)],[45,2228,theory(equality)])).
% cnf(2231,negated_conjecture,(sdtpldt0(esk3_0,esk1_2(esk3_0,xm))=xm|~aNaturalNumber0(esk3_0)|~aNaturalNumber0(xm)),inference(spm,[status(thm)],[44,2228,theory(equality)])).
% cnf(2235,negated_conjecture,(aNaturalNumber0(esk1_2(esk3_0,xm))|$false|~aNaturalNumber0(xm)),inference(rw,[status(thm)],[2230,113,theory(equality)])).
% cnf(2236,negated_conjecture,(aNaturalNumber0(esk1_2(esk3_0,xm))|$false|$false),inference(rw,[status(thm)],[2235,51,theory(equality)])).
% cnf(2237,negated_conjecture,(aNaturalNumber0(esk1_2(esk3_0,xm))),inference(cn,[status(thm)],[2236,theory(equality)])).
% cnf(2238,negated_conjecture,(sdtpldt0(esk3_0,esk1_2(esk3_0,xm))=xm|$false|~aNaturalNumber0(xm)),inference(rw,[status(thm)],[2231,113,theory(equality)])).
% cnf(2239,negated_conjecture,(sdtpldt0(esk3_0,esk1_2(esk3_0,xm))=xm|$false|$false),inference(rw,[status(thm)],[2238,51,theory(equality)])).
% cnf(2240,negated_conjecture,(sdtpldt0(esk3_0,esk1_2(esk3_0,xm))=xm),inference(cn,[status(thm)],[2239,theory(equality)])).
% cnf(2255,negated_conjecture,(esk1_2(esk3_0,xm)=xn|~aNaturalNumber0(esk1_2(esk3_0,xm))),inference(spm,[status(thm)],[663,2240,theory(equality)])).
% cnf(2301,negated_conjecture,(esk1_2(esk3_0,xm)=xn|$false),inference(rw,[status(thm)],[2255,2237,theory(equality)])).
% cnf(2302,negated_conjecture,(esk1_2(esk3_0,xm)=xn),inference(cn,[status(thm)],[2301,theory(equality)])).
% cnf(2305,negated_conjecture,(sdtpldt0(esk3_0,xn)=xm),inference(rw,[status(thm)],[2240,2302,theory(equality)])).
% cnf(2313,negated_conjecture,(sdtpldt0(xm,X1)=sdtpldt0(esk3_0,sdtpldt0(xn,X1))|~aNaturalNumber0(X1)|~aNaturalNumber0(xn)|~aNaturalNumber0(esk3_0)),inference(spm,[status(thm)],[33,2305,theory(equality)])).
% cnf(2348,negated_conjecture,(sdtpldt0(xm,X1)=sdtpldt0(esk3_0,sdtpldt0(xn,X1))|~aNaturalNumber0(X1)|$false|~aNaturalNumber0(esk3_0)),inference(rw,[status(thm)],[2313,50,theory(equality)])).
% cnf(2349,negated_conjecture,(sdtpldt0(xm,X1)=sdtpldt0(esk3_0,sdtpldt0(xn,X1))|~aNaturalNumber0(X1)|$false|$false),inference(rw,[status(thm)],[2348,113,theory(equality)])).
% cnf(2350,negated_conjecture,(sdtpldt0(xm,X1)=sdtpldt0(esk3_0,sdtpldt0(xn,X1))|~aNaturalNumber0(X1)),inference(cn,[status(thm)],[2349,theory(equality)])).
% cnf(3928,negated_conjecture,(sdtpldt0(esk3_0,xm)=sdtpldt0(xm,esk3_0)|~aNaturalNumber0(esk3_0)),inference(spm,[status(thm)],[2350,112,theory(equality)])).
% cnf(3973,negated_conjecture,(sdtpldt0(esk3_0,xm)=sdtpldt0(xm,esk3_0)|$false),inference(rw,[status(thm)],[3928,113,theory(equality)])).
% cnf(3974,negated_conjecture,(sdtpldt0(esk3_0,xm)=sdtpldt0(xm,esk3_0)),inference(cn,[status(thm)],[3973,theory(equality)])).
% cnf(3986,negated_conjecture,(aNaturalNumber0(sdtpldt0(xm,esk3_0))|~aNaturalNumber0(xm)|~aNaturalNumber0(esk3_0)),inference(spm,[status(thm)],[27,3974,theory(equality)])).
% cnf(4002,negated_conjecture,(sdtlseqdt0(xn,sdtpldt0(xm,esk3_0))|~aNaturalNumber0(esk3_0)),inference(spm,[status(thm)],[1748,3974,theory(equality)])).
% cnf(4016,negated_conjecture,(aNaturalNumber0(sdtpldt0(xm,esk3_0))|$false|~aNaturalNumber0(esk3_0)),inference(rw,[status(thm)],[3986,51,theory(equality)])).
% cnf(4017,negated_conjecture,(aNaturalNumber0(sdtpldt0(xm,esk3_0))|$false|$false),inference(rw,[status(thm)],[4016,113,theory(equality)])).
% cnf(4018,negated_conjecture,(aNaturalNumber0(sdtpldt0(xm,esk3_0))),inference(cn,[status(thm)],[4017,theory(equality)])).
% cnf(4061,negated_conjecture,(sdtlseqdt0(xn,sdtpldt0(xm,esk3_0))|$false),inference(rw,[status(thm)],[4002,113,theory(equality)])).
% cnf(4062,negated_conjecture,(sdtlseqdt0(xn,sdtpldt0(xm,esk3_0))),inference(cn,[status(thm)],[4061,theory(equality)])).
% cnf(4086,negated_conjecture,(aNaturalNumber0(esk1_2(xn,sdtpldt0(xm,esk3_0)))|~aNaturalNumber0(xn)|~aNaturalNumber0(sdtpldt0(xm,esk3_0))),inference(spm,[status(thm)],[45,4062,theory(equality)])).
% cnf(4087,negated_conjecture,(sdtpldt0(xn,esk1_2(xn,sdtpldt0(xm,esk3_0)))=sdtpldt0(xm,esk3_0)|~aNaturalNumber0(xn)|~aNaturalNumber0(sdtpldt0(xm,esk3_0))),inference(spm,[status(thm)],[44,4062,theory(equality)])).
% cnf(4091,negated_conjecture,(aNaturalNumber0(esk1_2(xn,sdtpldt0(xm,esk3_0)))|$false|~aNaturalNumber0(sdtpldt0(xm,esk3_0))),inference(rw,[status(thm)],[4086,50,theory(equality)])).
% cnf(4092,negated_conjecture,(aNaturalNumber0(esk1_2(xn,sdtpldt0(xm,esk3_0)))|$false|$false),inference(rw,[status(thm)],[4091,4018,theory(equality)])).
% cnf(4093,negated_conjecture,(aNaturalNumber0(esk1_2(xn,sdtpldt0(xm,esk3_0)))),inference(cn,[status(thm)],[4092,theory(equality)])).
% cnf(4094,negated_conjecture,(sdtpldt0(xn,esk1_2(xn,sdtpldt0(xm,esk3_0)))=sdtpldt0(xm,esk3_0)|$false|~aNaturalNumber0(sdtpldt0(xm,esk3_0))),inference(rw,[status(thm)],[4087,50,theory(equality)])).
% cnf(4095,negated_conjecture,(sdtpldt0(xn,esk1_2(xn,sdtpldt0(xm,esk3_0)))=sdtpldt0(xm,esk3_0)|$false|$false),inference(rw,[status(thm)],[4094,4018,theory(equality)])).
% cnf(4096,negated_conjecture,(sdtpldt0(xn,esk1_2(xn,sdtpldt0(xm,esk3_0)))=sdtpldt0(xm,esk3_0)),inference(cn,[status(thm)],[4095,theory(equality)])).
% cnf(4824,negated_conjecture,(sdtpldt0(esk3_0,sdtpldt0(xm,esk3_0))=sdtpldt0(xm,esk1_2(xn,sdtpldt0(xm,esk3_0)))|~aNaturalNumber0(esk1_2(xn,sdtpldt0(xm,esk3_0)))),inference(spm,[status(thm)],[2350,4096,theory(equality)])).
% cnf(4885,negated_conjecture,(sdtpldt0(esk3_0,sdtpldt0(xm,esk3_0))=sdtpldt0(xm,esk1_2(xn,sdtpldt0(xm,esk3_0)))|$false),inference(rw,[status(thm)],[4824,4093,theory(equality)])).
% cnf(4886,negated_conjecture,(sdtpldt0(esk3_0,sdtpldt0(xm,esk3_0))=sdtpldt0(xm,esk1_2(xn,sdtpldt0(xm,esk3_0)))),inference(cn,[status(thm)],[4885,theory(equality)])).
% cnf(10882,negated_conjecture,(sdtpldt0(xn,sdtmndt0(xm,xn))=xm|~aNaturalNumber0(xn)|~aNaturalNumber0(xm)),inference(spm,[status(thm)],[380,111,theory(equality)])).
% cnf(10950,negated_conjecture,(sdtpldt0(xn,sdtmndt0(xm,xn))=xm|$false|~aNaturalNumber0(xm)),inference(rw,[status(thm)],[10882,50,theory(equality)])).
% cnf(10951,negated_conjecture,(sdtpldt0(xn,sdtmndt0(xm,xn))=xm|$false|$false),inference(rw,[status(thm)],[10950,51,theory(equality)])).
% cnf(10952,negated_conjecture,(sdtpldt0(xn,sdtmndt0(xm,xn))=xm),inference(cn,[status(thm)],[10951,theory(equality)])).
% cnf(11450,negated_conjecture,(sdtmndt0(xm,xn)=esk3_0|~aNaturalNumber0(sdtmndt0(xm,xn))),inference(spm,[status(thm)],[233,10952,theory(equality)])).
% cnf(11541,negated_conjecture,(sdtmndt0(xm,xn)=esk3_0|$false),inference(rw,[status(thm)],[11450,1909,theory(equality)])).
% cnf(11542,negated_conjecture,(sdtmndt0(xm,xn)=esk3_0),inference(cn,[status(thm)],[11541,theory(equality)])).
% cnf(29898,negated_conjecture,(aNaturalNumber0(sdtpldt0(esk3_0,sdtpldt0(xm,esk3_0)))|~aNaturalNumber0(esk1_2(xn,sdtpldt0(xm,esk3_0)))|~aNaturalNumber0(xm)),inference(spm,[status(thm)],[27,4886,theory(equality)])).
% cnf(29938,negated_conjecture,(sdtlseqdt0(xn,sdtpldt0(esk3_0,sdtpldt0(xm,esk3_0)))|~aNaturalNumber0(esk1_2(xn,sdtpldt0(xm,esk3_0)))),inference(spm,[status(thm)],[1532,4886,theory(equality)])).
% cnf(29950,negated_conjecture,(aNaturalNumber0(sdtpldt0(esk3_0,sdtpldt0(xm,esk3_0)))|$false|~aNaturalNumber0(xm)),inference(rw,[status(thm)],[29898,4093,theory(equality)])).
% cnf(29951,negated_conjecture,(aNaturalNumber0(sdtpldt0(esk3_0,sdtpldt0(xm,esk3_0)))|$false|$false),inference(rw,[status(thm)],[29950,51,theory(equality)])).
% cnf(29952,negated_conjecture,(aNaturalNumber0(sdtpldt0(esk3_0,sdtpldt0(xm,esk3_0)))),inference(cn,[status(thm)],[29951,theory(equality)])).
% cnf(30067,negated_conjecture,(sdtlseqdt0(xn,sdtpldt0(esk3_0,sdtpldt0(xm,esk3_0)))|$false),inference(rw,[status(thm)],[29938,4093,theory(equality)])).
% cnf(30068,negated_conjecture,(sdtlseqdt0(xn,sdtpldt0(esk3_0,sdtpldt0(xm,esk3_0)))),inference(cn,[status(thm)],[30067,theory(equality)])).
% cnf(30109,negated_conjecture,(sdtpldt0(xn,sdtmndt0(sdtpldt0(esk3_0,sdtpldt0(xm,esk3_0)),xn))=sdtpldt0(esk3_0,sdtpldt0(xm,esk3_0))|~aNaturalNumber0(xn)|~aNaturalNumber0(sdtpldt0(esk3_0,sdtpldt0(xm,esk3_0)))),inference(spm,[status(thm)],[380,30068,theory(equality)])).
% cnf(30120,negated_conjecture,(sdtpldt0(xn,sdtmndt0(sdtpldt0(esk3_0,sdtpldt0(xm,esk3_0)),xn))=sdtpldt0(esk3_0,sdtpldt0(xm,esk3_0))|$false|~aNaturalNumber0(sdtpldt0(esk3_0,sdtpldt0(xm,esk3_0)))),inference(rw,[status(thm)],[30109,50,theory(equality)])).
% cnf(30121,negated_conjecture,(sdtpldt0(xn,sdtmndt0(sdtpldt0(esk3_0,sdtpldt0(xm,esk3_0)),xn))=sdtpldt0(esk3_0,sdtpldt0(xm,esk3_0))|$false|$false),inference(rw,[status(thm)],[30120,29952,theory(equality)])).
% cnf(30122,negated_conjecture,(sdtpldt0(xn,sdtmndt0(sdtpldt0(esk3_0,sdtpldt0(xm,esk3_0)),xn))=sdtpldt0(esk3_0,sdtpldt0(xm,esk3_0))),inference(cn,[status(thm)],[30121,theory(equality)])).
% cnf(51805,negated_conjecture,(sdtpldt0(esk2_0,esk3_0)=sz00|~aNaturalNumber0(sdtpldt0(esk2_0,esk3_0))|~aNaturalNumber0(esk3_0)),inference(spm,[status(thm)],[1037,112,theory(equality)])).
% cnf(51855,negated_conjecture,(sdtpldt0(esk2_0,esk3_0)=sz00|~aNaturalNumber0(sdtpldt0(esk2_0,esk3_0))|$false),inference(rw,[status(thm)],[51805,113,theory(equality)])).
% cnf(51856,negated_conjecture,(sdtpldt0(esk2_0,esk3_0)=sz00|~aNaturalNumber0(sdtpldt0(esk2_0,esk3_0))),inference(cn,[status(thm)],[51855,theory(equality)])).
% cnf(51910,negated_conjecture,(sdtpldt0(esk2_0,esk3_0)=sz00|~aNaturalNumber0(esk3_0)|~aNaturalNumber0(esk2_0)),inference(spm,[status(thm)],[51856,27,theory(equality)])).
% cnf(51912,negated_conjecture,(sdtpldt0(esk2_0,esk3_0)=sz00|$false|~aNaturalNumber0(esk2_0)),inference(rw,[status(thm)],[51910,113,theory(equality)])).
% cnf(51913,negated_conjecture,(sdtpldt0(esk2_0,esk3_0)=sz00|$false|$false),inference(rw,[status(thm)],[51912,116,theory(equality)])).
% cnf(51914,negated_conjecture,(sdtpldt0(esk2_0,esk3_0)=sz00),inference(cn,[status(thm)],[51913,theory(equality)])).
% cnf(51917,negated_conjecture,(sz00=esk3_0|~aNaturalNumber0(esk2_0)|~aNaturalNumber0(esk3_0)),inference(spm,[status(thm)],[72,51914,theory(equality)])).
% cnf(51979,negated_conjecture,(sz00=esk3_0|$false|~aNaturalNumber0(esk3_0)),inference(rw,[status(thm)],[51917,116,theory(equality)])).
% cnf(51980,negated_conjecture,(sz00=esk3_0|$false|$false),inference(rw,[status(thm)],[51979,113,theory(equality)])).
% cnf(51981,negated_conjecture,(sz00=esk3_0),inference(cn,[status(thm)],[51980,theory(equality)])).
% cnf(52352,negated_conjecture,(xn=sdtpldt0(esk3_0,sdtpldt0(xm,esk3_0))),inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[30122,51981,theory(equality)]),51981,theory(equality)]),776,theory(equality)]),795,theory(equality)]),11542,theory(equality)]),51981,theory(equality)]),1064,theory(equality)])).
% cnf(52353,negated_conjecture,(xn=xm),inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[52352,51981,theory(equality)]),51981,theory(equality)]),776,theory(equality)]),795,theory(equality)])).
% cnf(52354,negated_conjecture,($false),inference(sr,[status(thm)],[52353,110,theory(equality)])).
% cnf(52355,negated_conjecture,($false),52354,['proof']).
% # SZS output end CNFRefutation
% # Processed clauses : 2184
% # ...of these trivial : 152
% # ...subsumed : 977
% # ...remaining for further processing: 1055
% # Other redundant clauses eliminated : 21
% # Clauses deleted for lack of memory : 0
% # Backward-subsumed : 53
% # Backward-rewritten : 568
% # Generated clauses : 16846
% # ...of the previous two non-trivial : 15234
% # Contextual simplify-reflections : 124
% # Paramodulations : 16765
% # Factorizations : 0
% # Equation resolutions : 81
% # Current number of processed clauses: 434
% # Positive orientable unit clauses: 140
% # Positive unorientable unit clauses: 0
% # Negative unit clauses : 5
% # Non-unit-clauses : 289
% # Current number of unprocessed clauses: 7283
% # ...number of literals in the above : 36572
% # Clause-clause subsumption calls (NU) : 14024
% # Rec. Clause-clause subsumption calls : 11274
% # Unit Clause-clause subsumption calls : 31
% # Rewrite failures with RHS unbound : 0
% # Indexed BW rewrite attempts : 1551
% # Indexed BW rewrite successes : 56
% # Backwards rewriting index: 258 leaves, 1.70+/-1.843 terms/leaf
% # Paramod-from index: 155 leaves, 1.55+/-1.662 terms/leaf
% # Paramod-into index: 224 leaves, 1.73+/-1.876 terms/leaf
% # -------------------------------------------------
% # User time : 0.736 s
% # System time : 0.037 s
% # Total time : 0.773 s
% # Maximum resident set size: 0 pages
% PrfWatch: 1.54 CPU 1.63 WC
% FINAL PrfWatch: 1.54 CPU 1.63 WC
% SZS output end Solution for /tmp/SystemOnTPTP25708/NUM459+2.tptp
%
%------------------------------------------------------------------------------