TSTP Solution File: NUM481+3 by SRASS---0.1
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- Process Solution
%------------------------------------------------------------------------------
% File : SRASS---0.1
% Problem : NUM481+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 : art03.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 19:29:03 EST 2010
% Result : Theorem 13.66s
% Output : Solution 13.66s
% 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/SystemOnTPTP29528/NUM481+3.tptp
% Adding relevance values
% Extracting the conjecture
% Sorting axioms by relevance
% Looking for THM ...
% found
% SZS status THM for /tmp/SystemOnTPTP29528/NUM481+3.tptp
% SZS output start Solution for /tmp/SystemOnTPTP29528/NUM481+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 29624
% TreeLimitedRun: ----------------------------------------------------------
% PrfWatch: 0.00 CPU 0.00 WC
% PrfWatch: 1.92 CPU 2.01 WC
% PrfWatch: 3.91 CPU 4.01 WC
% PrfWatch: 5.90 CPU 6.02 WC
% # Preprocessing time : 0.020 s
% # Problem is unsatisfiable (or provable), constructing proof object
% # SZS status Theorem
% PrfWatch: 7.73 CPU 8.06 WC
% PrfWatch: 9.32 CPU 10.14 WC
% PrfWatch: 11.27 CPU 12.15 WC
% # 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(sdtasdt0(X1,X2))),file('/tmp/SRASS.s.p', mSortsB_02)).
% fof(4, axiom,![X1]:![X2]:((aNaturalNumber0(X1)&aNaturalNumber0(X2))=>sdtasdt0(X1,X2)=sdtasdt0(X2,X1)),file('/tmp/SRASS.s.p', mMulComm)).
% fof(5, 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(6, axiom,![X1]:(aNaturalNumber0(X1)=>(sdtasdt0(X1,sz10)=X1&X1=sdtasdt0(sz10,X1))),file('/tmp/SRASS.s.p', m_MulUnit)).
% fof(7, axiom,![X1]:(aNaturalNumber0(X1)=>(sdtasdt0(X1,sz00)=sz00&sz00=sdtasdt0(sz00,X1))),file('/tmp/SRASS.s.p', m_MulZero)).
% fof(8, 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(10, axiom,![X1]:![X2]:((aNaturalNumber0(X1)&aNaturalNumber0(X2))=>(doDivides0(X1,X2)<=>?[X3]:(aNaturalNumber0(X3)&X2=sdtasdt0(X1,X3)))),file('/tmp/SRASS.s.p', mDefDiv)).
% fof(11, axiom,![X1]:![X2]:![X3]:(((aNaturalNumber0(X1)&aNaturalNumber0(X2))&aNaturalNumber0(X3))=>((doDivides0(X1,X2)&doDivides0(X2,X3))=>doDivides0(X1,X3))),file('/tmp/SRASS.s.p', mDivTrans)).
% fof(14, axiom,![X1]:![X2]:((aNaturalNumber0(X1)&aNaturalNumber0(X2))=>((~(X1=sz00)&doDivides0(X1,X2))=>![X3]:(X3=sdtsldt0(X2,X1)<=>(aNaturalNumber0(X3)&X2=sdtasdt0(X1,X3))))),file('/tmp/SRASS.s.p', mDefQuot)).
% fof(15, axiom,![X1]:![X2]:((aNaturalNumber0(X1)&aNaturalNumber0(X2))=>((doDivides0(X1,X2)&~(X2=sz00))=>sdtlseqdt0(X1,X2))),file('/tmp/SRASS.s.p', mDivLE)).
% fof(16, axiom,![X1]:![X2]:((aNaturalNumber0(X1)&aNaturalNumber0(X2))=>((~(X1=sz00)&doDivides0(X1,X2))=>![X3]:(aNaturalNumber0(X3)=>sdtasdt0(X3,sdtsldt0(X2,X1))=sdtsldt0(sdtasdt0(X3,X2),X1)))),file('/tmp/SRASS.s.p', mDivAsso)).
% fof(18, axiom,![X1]:![X2]:((aNaturalNumber0(X1)&aNaturalNumber0(X2))=>(~(X1=sz00)=>sdtlseqdt0(X2,sdtasdt0(X2,X1)))),file('/tmp/SRASS.s.p', mMonMul2)).
% fof(19, axiom,![X1]:![X2]:((aNaturalNumber0(X1)&aNaturalNumber0(X2))=>((~(X1=X2)&sdtlseqdt0(X1,X2))=>iLess0(X1,X2))),file('/tmp/SRASS.s.p', mIH_03)).
% fof(20, 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(21, axiom,![X1]:(aNaturalNumber0(X1)=>(sdtpldt0(X1,sz00)=X1&X1=sdtpldt0(sz00,X1))),file('/tmp/SRASS.s.p', m_AddZero)).
% fof(22, axiom,![X1]:![X2]:((aNaturalNumber0(X1)&aNaturalNumber0(X2))=>(sdtpldt0(X1,X2)=sz00=>(X1=sz00&X2=sz00))),file('/tmp/SRASS.s.p', mZeroAdd)).
% fof(24, axiom,![X1]:![X2]:![X3]:(((aNaturalNumber0(X1)&aNaturalNumber0(X2))&aNaturalNumber0(X3))=>((doDivides0(X1,X2)&doDivides0(X1,sdtpldt0(X2,X3)))=>doDivides0(X1,X3))),file('/tmp/SRASS.s.p', mDivMin)).
% fof(26, axiom,![X1]:![X2]:((aNaturalNumber0(X1)&aNaturalNumber0(X2))=>aNaturalNumber0(sdtpldt0(X1,X2))),file('/tmp/SRASS.s.p', mSortsB)).
% fof(27, axiom,![X1]:![X2]:((aNaturalNumber0(X1)&aNaturalNumber0(X2))=>sdtpldt0(X1,X2)=sdtpldt0(X2,X1)),file('/tmp/SRASS.s.p', mAddComm)).
% fof(30, axiom,![X1]:(aNaturalNumber0(X1)=>sdtlseqdt0(X1,X1)),file('/tmp/SRASS.s.p', mLERefl)).
% fof(31, axiom,![X1]:![X2]:((aNaturalNumber0(X1)&aNaturalNumber0(X2))=>((sdtlseqdt0(X1,X2)&sdtlseqdt0(X2,X1))=>X1=X2)),file('/tmp/SRASS.s.p', mLEAsym)).
% fof(33, axiom,![X1]:![X2]:((aNaturalNumber0(X1)&aNaturalNumber0(X2))=>(sdtlseqdt0(X1,X2)|(~(X2=X1)&sdtlseqdt0(X2,X1)))),file('/tmp/SRASS.s.p', mLETotal)).
% fof(35, axiom,![X1]:![X2]:((aNaturalNumber0(X1)&aNaturalNumber0(X2))=>(sdtlseqdt0(X1,X2)<=>?[X3]:(aNaturalNumber0(X3)&sdtpldt0(X1,X3)=X2))),file('/tmp/SRASS.s.p', mDefLE)).
% fof(37, 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(38, conjecture,![X1]:(((aNaturalNumber0(X1)&~(X1=sz00))&~(X1=sz10))=>(![X2]:(((aNaturalNumber0(X2)&~(X2=sz00))&~(X2=sz10))=>(iLess0(X2,X1)=>?[X3]:((((((aNaturalNumber0(X3)&?[X4]:(aNaturalNumber0(X4)&X2=sdtasdt0(X3,X4)))&doDivides0(X3,X2))&~(X3=sz00))&~(X3=sz10))&![X4]:((aNaturalNumber0(X4)&(?[X5]:(aNaturalNumber0(X5)&X3=sdtasdt0(X4,X5))|doDivides0(X4,X3)))=>(X4=sz10|X4=X3)))&isPrime0(X3))))=>?[X2]:((aNaturalNumber0(X2)&(?[X3]:(aNaturalNumber0(X3)&X1=sdtasdt0(X2,X3))|doDivides0(X2,X1)))&(((~(X2=sz00)&~(X2=sz10))&![X3]:(((aNaturalNumber0(X3)&?[X4]:(aNaturalNumber0(X4)&X2=sdtasdt0(X3,X4)))&doDivides0(X3,X2))=>(X3=sz10|X3=X2)))|isPrime0(X2))))),file('/tmp/SRASS.s.p', m__)).
% fof(39, negated_conjecture,~(![X1]:(((aNaturalNumber0(X1)&~(X1=sz00))&~(X1=sz10))=>(![X2]:(((aNaturalNumber0(X2)&~(X2=sz00))&~(X2=sz10))=>(iLess0(X2,X1)=>?[X3]:((((((aNaturalNumber0(X3)&?[X4]:(aNaturalNumber0(X4)&X2=sdtasdt0(X3,X4)))&doDivides0(X3,X2))&~(X3=sz00))&~(X3=sz10))&![X4]:((aNaturalNumber0(X4)&(?[X5]:(aNaturalNumber0(X5)&X3=sdtasdt0(X4,X5))|doDivides0(X4,X3)))=>(X4=sz10|X4=X3)))&isPrime0(X3))))=>?[X2]:((aNaturalNumber0(X2)&(?[X3]:(aNaturalNumber0(X3)&X1=sdtasdt0(X2,X3))|doDivides0(X2,X1)))&(((~(X2=sz00)&~(X2=sz10))&![X3]:(((aNaturalNumber0(X3)&?[X4]:(aNaturalNumber0(X4)&X2=sdtasdt0(X3,X4)))&doDivides0(X3,X2))=>(X3=sz10|X3=X2)))|isPrime0(X2)))))),inference(assume_negation,[status(cth)],[38])).
% cnf(42,plain,(aNaturalNumber0(sz00)),inference(split_conjunct,[status(thm)],[1])).
% cnf(43,plain,(sz10!=sz00),inference(split_conjunct,[status(thm)],[2])).
% cnf(44,plain,(aNaturalNumber0(sz10)),inference(split_conjunct,[status(thm)],[2])).
% fof(45, plain,![X1]:![X2]:((~(aNaturalNumber0(X1))|~(aNaturalNumber0(X2)))|aNaturalNumber0(sdtasdt0(X1,X2))),inference(fof_nnf,[status(thm)],[3])).
% fof(46, plain,![X3]:![X4]:((~(aNaturalNumber0(X3))|~(aNaturalNumber0(X4)))|aNaturalNumber0(sdtasdt0(X3,X4))),inference(variable_rename,[status(thm)],[45])).
% cnf(47,plain,(aNaturalNumber0(sdtasdt0(X1,X2))|~aNaturalNumber0(X2)|~aNaturalNumber0(X1)),inference(split_conjunct,[status(thm)],[46])).
% fof(48, plain,![X1]:![X2]:((~(aNaturalNumber0(X1))|~(aNaturalNumber0(X2)))|sdtasdt0(X1,X2)=sdtasdt0(X2,X1)),inference(fof_nnf,[status(thm)],[4])).
% fof(49, plain,![X3]:![X4]:((~(aNaturalNumber0(X3))|~(aNaturalNumber0(X4)))|sdtasdt0(X3,X4)=sdtasdt0(X4,X3)),inference(variable_rename,[status(thm)],[48])).
% cnf(50,plain,(sdtasdt0(X1,X2)=sdtasdt0(X2,X1)|~aNaturalNumber0(X2)|~aNaturalNumber0(X1)),inference(split_conjunct,[status(thm)],[49])).
% fof(51, 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)],[5])).
% fof(52, 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)],[51])).
% cnf(53,plain,(sdtasdt0(sdtasdt0(X1,X2),X3)=sdtasdt0(X1,sdtasdt0(X2,X3))|~aNaturalNumber0(X3)|~aNaturalNumber0(X2)|~aNaturalNumber0(X1)),inference(split_conjunct,[status(thm)],[52])).
% fof(54, plain,![X1]:(~(aNaturalNumber0(X1))|(sdtasdt0(X1,sz10)=X1&X1=sdtasdt0(sz10,X1))),inference(fof_nnf,[status(thm)],[6])).
% fof(55, plain,![X2]:(~(aNaturalNumber0(X2))|(sdtasdt0(X2,sz10)=X2&X2=sdtasdt0(sz10,X2))),inference(variable_rename,[status(thm)],[54])).
% fof(56, plain,![X2]:((sdtasdt0(X2,sz10)=X2|~(aNaturalNumber0(X2)))&(X2=sdtasdt0(sz10,X2)|~(aNaturalNumber0(X2)))),inference(distribute,[status(thm)],[55])).
% cnf(57,plain,(X1=sdtasdt0(sz10,X1)|~aNaturalNumber0(X1)),inference(split_conjunct,[status(thm)],[56])).
% cnf(58,plain,(sdtasdt0(X1,sz10)=X1|~aNaturalNumber0(X1)),inference(split_conjunct,[status(thm)],[56])).
% fof(59, plain,![X1]:(~(aNaturalNumber0(X1))|(sdtasdt0(X1,sz00)=sz00&sz00=sdtasdt0(sz00,X1))),inference(fof_nnf,[status(thm)],[7])).
% fof(60, plain,![X2]:(~(aNaturalNumber0(X2))|(sdtasdt0(X2,sz00)=sz00&sz00=sdtasdt0(sz00,X2))),inference(variable_rename,[status(thm)],[59])).
% fof(61, plain,![X2]:((sdtasdt0(X2,sz00)=sz00|~(aNaturalNumber0(X2)))&(sz00=sdtasdt0(sz00,X2)|~(aNaturalNumber0(X2)))),inference(distribute,[status(thm)],[60])).
% cnf(62,plain,(sz00=sdtasdt0(sz00,X1)|~aNaturalNumber0(X1)),inference(split_conjunct,[status(thm)],[61])).
% cnf(63,plain,(sdtasdt0(X1,sz00)=sz00|~aNaturalNumber0(X1)),inference(split_conjunct,[status(thm)],[61])).
% fof(64, 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)],[8])).
% fof(65, 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)],[64])).
% fof(66, 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)],[65])).
% fof(67, 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)],[66])).
% cnf(68,plain,(X1=sz00|X3=X2|~aNaturalNumber0(X1)|~aNaturalNumber0(X2)|~aNaturalNumber0(X3)|sdtasdt0(X3,X1)!=sdtasdt0(X2,X1)),inference(split_conjunct,[status(thm)],[67])).
% fof(73, plain,![X1]:![X2]:((~(aNaturalNumber0(X1))|~(aNaturalNumber0(X2)))|((~(doDivides0(X1,X2))|?[X3]:(aNaturalNumber0(X3)&X2=sdtasdt0(X1,X3)))&(![X3]:(~(aNaturalNumber0(X3))|~(X2=sdtasdt0(X1,X3)))|doDivides0(X1,X2)))),inference(fof_nnf,[status(thm)],[10])).
% fof(74, plain,![X4]:![X5]:((~(aNaturalNumber0(X4))|~(aNaturalNumber0(X5)))|((~(doDivides0(X4,X5))|?[X6]:(aNaturalNumber0(X6)&X5=sdtasdt0(X4,X6)))&(![X7]:(~(aNaturalNumber0(X7))|~(X5=sdtasdt0(X4,X7)))|doDivides0(X4,X5)))),inference(variable_rename,[status(thm)],[73])).
% fof(75, plain,![X4]:![X5]:((~(aNaturalNumber0(X4))|~(aNaturalNumber0(X5)))|((~(doDivides0(X4,X5))|(aNaturalNumber0(esk1_2(X4,X5))&X5=sdtasdt0(X4,esk1_2(X4,X5))))&(![X7]:(~(aNaturalNumber0(X7))|~(X5=sdtasdt0(X4,X7)))|doDivides0(X4,X5)))),inference(skolemize,[status(esa)],[74])).
% fof(76, plain,![X4]:![X5]:![X7]:((((~(aNaturalNumber0(X7))|~(X5=sdtasdt0(X4,X7)))|doDivides0(X4,X5))&(~(doDivides0(X4,X5))|(aNaturalNumber0(esk1_2(X4,X5))&X5=sdtasdt0(X4,esk1_2(X4,X5)))))|(~(aNaturalNumber0(X4))|~(aNaturalNumber0(X5)))),inference(shift_quantors,[status(thm)],[75])).
% fof(77, plain,![X4]:![X5]:![X7]:((((~(aNaturalNumber0(X7))|~(X5=sdtasdt0(X4,X7)))|doDivides0(X4,X5))|(~(aNaturalNumber0(X4))|~(aNaturalNumber0(X5))))&(((aNaturalNumber0(esk1_2(X4,X5))|~(doDivides0(X4,X5)))|(~(aNaturalNumber0(X4))|~(aNaturalNumber0(X5))))&((X5=sdtasdt0(X4,esk1_2(X4,X5))|~(doDivides0(X4,X5)))|(~(aNaturalNumber0(X4))|~(aNaturalNumber0(X5)))))),inference(distribute,[status(thm)],[76])).
% cnf(78,plain,(X1=sdtasdt0(X2,esk1_2(X2,X1))|~aNaturalNumber0(X1)|~aNaturalNumber0(X2)|~doDivides0(X2,X1)),inference(split_conjunct,[status(thm)],[77])).
% cnf(79,plain,(aNaturalNumber0(esk1_2(X2,X1))|~aNaturalNumber0(X1)|~aNaturalNumber0(X2)|~doDivides0(X2,X1)),inference(split_conjunct,[status(thm)],[77])).
% cnf(80,plain,(doDivides0(X2,X1)|~aNaturalNumber0(X1)|~aNaturalNumber0(X2)|X1!=sdtasdt0(X2,X3)|~aNaturalNumber0(X3)),inference(split_conjunct,[status(thm)],[77])).
% fof(81, plain,![X1]:![X2]:![X3]:(((~(aNaturalNumber0(X1))|~(aNaturalNumber0(X2)))|~(aNaturalNumber0(X3)))|((~(doDivides0(X1,X2))|~(doDivides0(X2,X3)))|doDivides0(X1,X3))),inference(fof_nnf,[status(thm)],[11])).
% fof(82, plain,![X4]:![X5]:![X6]:(((~(aNaturalNumber0(X4))|~(aNaturalNumber0(X5)))|~(aNaturalNumber0(X6)))|((~(doDivides0(X4,X5))|~(doDivides0(X5,X6)))|doDivides0(X4,X6))),inference(variable_rename,[status(thm)],[81])).
% cnf(83,plain,(doDivides0(X1,X2)|~doDivides0(X3,X2)|~doDivides0(X1,X3)|~aNaturalNumber0(X2)|~aNaturalNumber0(X3)|~aNaturalNumber0(X1)),inference(split_conjunct,[status(thm)],[82])).
% fof(101, plain,![X1]:![X2]:((~(aNaturalNumber0(X1))|~(aNaturalNumber0(X2)))|((X1=sz00|~(doDivides0(X1,X2)))|![X3]:((~(X3=sdtsldt0(X2,X1))|(aNaturalNumber0(X3)&X2=sdtasdt0(X1,X3)))&((~(aNaturalNumber0(X3))|~(X2=sdtasdt0(X1,X3)))|X3=sdtsldt0(X2,X1))))),inference(fof_nnf,[status(thm)],[14])).
% fof(102, plain,![X4]:![X5]:((~(aNaturalNumber0(X4))|~(aNaturalNumber0(X5)))|((X4=sz00|~(doDivides0(X4,X5)))|![X6]:((~(X6=sdtsldt0(X5,X4))|(aNaturalNumber0(X6)&X5=sdtasdt0(X4,X6)))&((~(aNaturalNumber0(X6))|~(X5=sdtasdt0(X4,X6)))|X6=sdtsldt0(X5,X4))))),inference(variable_rename,[status(thm)],[101])).
% fof(103, plain,![X4]:![X5]:![X6]:((((~(X6=sdtsldt0(X5,X4))|(aNaturalNumber0(X6)&X5=sdtasdt0(X4,X6)))&((~(aNaturalNumber0(X6))|~(X5=sdtasdt0(X4,X6)))|X6=sdtsldt0(X5,X4)))|(X4=sz00|~(doDivides0(X4,X5))))|(~(aNaturalNumber0(X4))|~(aNaturalNumber0(X5)))),inference(shift_quantors,[status(thm)],[102])).
% fof(104, plain,![X4]:![X5]:![X6]:(((((aNaturalNumber0(X6)|~(X6=sdtsldt0(X5,X4)))|(X4=sz00|~(doDivides0(X4,X5))))|(~(aNaturalNumber0(X4))|~(aNaturalNumber0(X5))))&(((X5=sdtasdt0(X4,X6)|~(X6=sdtsldt0(X5,X4)))|(X4=sz00|~(doDivides0(X4,X5))))|(~(aNaturalNumber0(X4))|~(aNaturalNumber0(X5)))))&((((~(aNaturalNumber0(X6))|~(X5=sdtasdt0(X4,X6)))|X6=sdtsldt0(X5,X4))|(X4=sz00|~(doDivides0(X4,X5))))|(~(aNaturalNumber0(X4))|~(aNaturalNumber0(X5))))),inference(distribute,[status(thm)],[103])).
% cnf(105,plain,(X2=sz00|X3=sdtsldt0(X1,X2)|~aNaturalNumber0(X1)|~aNaturalNumber0(X2)|~doDivides0(X2,X1)|X1!=sdtasdt0(X2,X3)|~aNaturalNumber0(X3)),inference(split_conjunct,[status(thm)],[104])).
% cnf(106,plain,(X2=sz00|X1=sdtasdt0(X2,X3)|~aNaturalNumber0(X1)|~aNaturalNumber0(X2)|~doDivides0(X2,X1)|X3!=sdtsldt0(X1,X2)),inference(split_conjunct,[status(thm)],[104])).
% cnf(107,plain,(X2=sz00|aNaturalNumber0(X3)|~aNaturalNumber0(X1)|~aNaturalNumber0(X2)|~doDivides0(X2,X1)|X3!=sdtsldt0(X1,X2)),inference(split_conjunct,[status(thm)],[104])).
% fof(108, plain,![X1]:![X2]:((~(aNaturalNumber0(X1))|~(aNaturalNumber0(X2)))|((~(doDivides0(X1,X2))|X2=sz00)|sdtlseqdt0(X1,X2))),inference(fof_nnf,[status(thm)],[15])).
% fof(109, plain,![X3]:![X4]:((~(aNaturalNumber0(X3))|~(aNaturalNumber0(X4)))|((~(doDivides0(X3,X4))|X4=sz00)|sdtlseqdt0(X3,X4))),inference(variable_rename,[status(thm)],[108])).
% cnf(110,plain,(sdtlseqdt0(X1,X2)|X2=sz00|~doDivides0(X1,X2)|~aNaturalNumber0(X2)|~aNaturalNumber0(X1)),inference(split_conjunct,[status(thm)],[109])).
% fof(111, plain,![X1]:![X2]:((~(aNaturalNumber0(X1))|~(aNaturalNumber0(X2)))|((X1=sz00|~(doDivides0(X1,X2)))|![X3]:(~(aNaturalNumber0(X3))|sdtasdt0(X3,sdtsldt0(X2,X1))=sdtsldt0(sdtasdt0(X3,X2),X1)))),inference(fof_nnf,[status(thm)],[16])).
% fof(112, plain,![X4]:![X5]:((~(aNaturalNumber0(X4))|~(aNaturalNumber0(X5)))|((X4=sz00|~(doDivides0(X4,X5)))|![X6]:(~(aNaturalNumber0(X6))|sdtasdt0(X6,sdtsldt0(X5,X4))=sdtsldt0(sdtasdt0(X6,X5),X4)))),inference(variable_rename,[status(thm)],[111])).
% fof(113, plain,![X4]:![X5]:![X6]:(((~(aNaturalNumber0(X6))|sdtasdt0(X6,sdtsldt0(X5,X4))=sdtsldt0(sdtasdt0(X6,X5),X4))|(X4=sz00|~(doDivides0(X4,X5))))|(~(aNaturalNumber0(X4))|~(aNaturalNumber0(X5)))),inference(shift_quantors,[status(thm)],[112])).
% cnf(114,plain,(X2=sz00|sdtasdt0(X3,sdtsldt0(X1,X2))=sdtsldt0(sdtasdt0(X3,X1),X2)|~aNaturalNumber0(X1)|~aNaturalNumber0(X2)|~doDivides0(X2,X1)|~aNaturalNumber0(X3)),inference(split_conjunct,[status(thm)],[113])).
% fof(122, plain,![X1]:![X2]:((~(aNaturalNumber0(X1))|~(aNaturalNumber0(X2)))|(X1=sz00|sdtlseqdt0(X2,sdtasdt0(X2,X1)))),inference(fof_nnf,[status(thm)],[18])).
% fof(123, plain,![X3]:![X4]:((~(aNaturalNumber0(X3))|~(aNaturalNumber0(X4)))|(X3=sz00|sdtlseqdt0(X4,sdtasdt0(X4,X3)))),inference(variable_rename,[status(thm)],[122])).
% cnf(124,plain,(sdtlseqdt0(X1,sdtasdt0(X1,X2))|X2=sz00|~aNaturalNumber0(X1)|~aNaturalNumber0(X2)),inference(split_conjunct,[status(thm)],[123])).
% fof(125, plain,![X1]:![X2]:((~(aNaturalNumber0(X1))|~(aNaturalNumber0(X2)))|((X1=X2|~(sdtlseqdt0(X1,X2)))|iLess0(X1,X2))),inference(fof_nnf,[status(thm)],[19])).
% fof(126, plain,![X3]:![X4]:((~(aNaturalNumber0(X3))|~(aNaturalNumber0(X4)))|((X3=X4|~(sdtlseqdt0(X3,X4)))|iLess0(X3,X4))),inference(variable_rename,[status(thm)],[125])).
% cnf(127,plain,(iLess0(X1,X2)|X1=X2|~sdtlseqdt0(X1,X2)|~aNaturalNumber0(X2)|~aNaturalNumber0(X1)),inference(split_conjunct,[status(thm)],[126])).
% fof(128, 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)],[20])).
% fof(129, 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)],[128])).
% fof(130, 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)],[129])).
% cnf(132,plain,(sdtasdt0(X3,sdtpldt0(X2,X1))=sdtpldt0(sdtasdt0(X3,X2),sdtasdt0(X3,X1))|~aNaturalNumber0(X1)|~aNaturalNumber0(X2)|~aNaturalNumber0(X3)),inference(split_conjunct,[status(thm)],[130])).
% fof(133, plain,![X1]:(~(aNaturalNumber0(X1))|(sdtpldt0(X1,sz00)=X1&X1=sdtpldt0(sz00,X1))),inference(fof_nnf,[status(thm)],[21])).
% fof(134, plain,![X2]:(~(aNaturalNumber0(X2))|(sdtpldt0(X2,sz00)=X2&X2=sdtpldt0(sz00,X2))),inference(variable_rename,[status(thm)],[133])).
% fof(135, plain,![X2]:((sdtpldt0(X2,sz00)=X2|~(aNaturalNumber0(X2)))&(X2=sdtpldt0(sz00,X2)|~(aNaturalNumber0(X2)))),inference(distribute,[status(thm)],[134])).
% cnf(136,plain,(X1=sdtpldt0(sz00,X1)|~aNaturalNumber0(X1)),inference(split_conjunct,[status(thm)],[135])).
% cnf(137,plain,(sdtpldt0(X1,sz00)=X1|~aNaturalNumber0(X1)),inference(split_conjunct,[status(thm)],[135])).
% fof(138, plain,![X1]:![X2]:((~(aNaturalNumber0(X1))|~(aNaturalNumber0(X2)))|(~(sdtpldt0(X1,X2)=sz00)|(X1=sz00&X2=sz00))),inference(fof_nnf,[status(thm)],[22])).
% fof(139, plain,![X3]:![X4]:((~(aNaturalNumber0(X3))|~(aNaturalNumber0(X4)))|(~(sdtpldt0(X3,X4)=sz00)|(X3=sz00&X4=sz00))),inference(variable_rename,[status(thm)],[138])).
% fof(140, 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)],[139])).
% cnf(142,plain,(X2=sz00|~aNaturalNumber0(X1)|~aNaturalNumber0(X2)|sdtpldt0(X2,X1)!=sz00),inference(split_conjunct,[status(thm)],[140])).
% fof(146, plain,![X1]:![X2]:![X3]:(((~(aNaturalNumber0(X1))|~(aNaturalNumber0(X2)))|~(aNaturalNumber0(X3)))|((~(doDivides0(X1,X2))|~(doDivides0(X1,sdtpldt0(X2,X3))))|doDivides0(X1,X3))),inference(fof_nnf,[status(thm)],[24])).
% fof(147, plain,![X4]:![X5]:![X6]:(((~(aNaturalNumber0(X4))|~(aNaturalNumber0(X5)))|~(aNaturalNumber0(X6)))|((~(doDivides0(X4,X5))|~(doDivides0(X4,sdtpldt0(X5,X6))))|doDivides0(X4,X6))),inference(variable_rename,[status(thm)],[146])).
% cnf(148,plain,(doDivides0(X1,X2)|~doDivides0(X1,sdtpldt0(X3,X2))|~doDivides0(X1,X3)|~aNaturalNumber0(X2)|~aNaturalNumber0(X3)|~aNaturalNumber0(X1)),inference(split_conjunct,[status(thm)],[147])).
% fof(151, plain,![X1]:![X2]:((~(aNaturalNumber0(X1))|~(aNaturalNumber0(X2)))|aNaturalNumber0(sdtpldt0(X1,X2))),inference(fof_nnf,[status(thm)],[26])).
% fof(152, plain,![X3]:![X4]:((~(aNaturalNumber0(X3))|~(aNaturalNumber0(X4)))|aNaturalNumber0(sdtpldt0(X3,X4))),inference(variable_rename,[status(thm)],[151])).
% cnf(153,plain,(aNaturalNumber0(sdtpldt0(X1,X2))|~aNaturalNumber0(X2)|~aNaturalNumber0(X1)),inference(split_conjunct,[status(thm)],[152])).
% fof(154, plain,![X1]:![X2]:((~(aNaturalNumber0(X1))|~(aNaturalNumber0(X2)))|sdtpldt0(X1,X2)=sdtpldt0(X2,X1)),inference(fof_nnf,[status(thm)],[27])).
% fof(155, plain,![X3]:![X4]:((~(aNaturalNumber0(X3))|~(aNaturalNumber0(X4)))|sdtpldt0(X3,X4)=sdtpldt0(X4,X3)),inference(variable_rename,[status(thm)],[154])).
% cnf(156,plain,(sdtpldt0(X1,X2)=sdtpldt0(X2,X1)|~aNaturalNumber0(X2)|~aNaturalNumber0(X1)),inference(split_conjunct,[status(thm)],[155])).
% fof(165, plain,![X1]:(~(aNaturalNumber0(X1))|sdtlseqdt0(X1,X1)),inference(fof_nnf,[status(thm)],[30])).
% fof(166, plain,![X2]:(~(aNaturalNumber0(X2))|sdtlseqdt0(X2,X2)),inference(variable_rename,[status(thm)],[165])).
% cnf(167,plain,(sdtlseqdt0(X1,X1)|~aNaturalNumber0(X1)),inference(split_conjunct,[status(thm)],[166])).
% fof(168, plain,![X1]:![X2]:((~(aNaturalNumber0(X1))|~(aNaturalNumber0(X2)))|((~(sdtlseqdt0(X1,X2))|~(sdtlseqdt0(X2,X1)))|X1=X2)),inference(fof_nnf,[status(thm)],[31])).
% fof(169, plain,![X3]:![X4]:((~(aNaturalNumber0(X3))|~(aNaturalNumber0(X4)))|((~(sdtlseqdt0(X3,X4))|~(sdtlseqdt0(X4,X3)))|X3=X4)),inference(variable_rename,[status(thm)],[168])).
% cnf(170,plain,(X1=X2|~sdtlseqdt0(X2,X1)|~sdtlseqdt0(X1,X2)|~aNaturalNumber0(X2)|~aNaturalNumber0(X1)),inference(split_conjunct,[status(thm)],[169])).
% fof(174, plain,![X1]:![X2]:((~(aNaturalNumber0(X1))|~(aNaturalNumber0(X2)))|(sdtlseqdt0(X1,X2)|(~(X2=X1)&sdtlseqdt0(X2,X1)))),inference(fof_nnf,[status(thm)],[33])).
% fof(175, plain,![X3]:![X4]:((~(aNaturalNumber0(X3))|~(aNaturalNumber0(X4)))|(sdtlseqdt0(X3,X4)|(~(X4=X3)&sdtlseqdt0(X4,X3)))),inference(variable_rename,[status(thm)],[174])).
% fof(176, 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)],[175])).
% cnf(177,plain,(sdtlseqdt0(X2,X1)|sdtlseqdt0(X1,X2)|~aNaturalNumber0(X1)|~aNaturalNumber0(X2)),inference(split_conjunct,[status(thm)],[176])).
% fof(181, 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)],[35])).
% fof(182, 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)],[181])).
% fof(183, plain,![X4]:![X5]:((~(aNaturalNumber0(X4))|~(aNaturalNumber0(X5)))|((~(sdtlseqdt0(X4,X5))|(aNaturalNumber0(esk3_2(X4,X5))&sdtpldt0(X4,esk3_2(X4,X5))=X5))&(![X7]:(~(aNaturalNumber0(X7))|~(sdtpldt0(X4,X7)=X5))|sdtlseqdt0(X4,X5)))),inference(skolemize,[status(esa)],[182])).
% fof(184, plain,![X4]:![X5]:![X7]:((((~(aNaturalNumber0(X7))|~(sdtpldt0(X4,X7)=X5))|sdtlseqdt0(X4,X5))&(~(sdtlseqdt0(X4,X5))|(aNaturalNumber0(esk3_2(X4,X5))&sdtpldt0(X4,esk3_2(X4,X5))=X5)))|(~(aNaturalNumber0(X4))|~(aNaturalNumber0(X5)))),inference(shift_quantors,[status(thm)],[183])).
% fof(185, plain,![X4]:![X5]:![X7]:((((~(aNaturalNumber0(X7))|~(sdtpldt0(X4,X7)=X5))|sdtlseqdt0(X4,X5))|(~(aNaturalNumber0(X4))|~(aNaturalNumber0(X5))))&(((aNaturalNumber0(esk3_2(X4,X5))|~(sdtlseqdt0(X4,X5)))|(~(aNaturalNumber0(X4))|~(aNaturalNumber0(X5))))&((sdtpldt0(X4,esk3_2(X4,X5))=X5|~(sdtlseqdt0(X4,X5)))|(~(aNaturalNumber0(X4))|~(aNaturalNumber0(X5)))))),inference(distribute,[status(thm)],[184])).
% cnf(188,plain,(sdtlseqdt0(X2,X1)|~aNaturalNumber0(X1)|~aNaturalNumber0(X2)|sdtpldt0(X2,X3)!=X1|~aNaturalNumber0(X3)),inference(split_conjunct,[status(thm)],[185])).
% fof(197, 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)],[37])).
% fof(198, 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)],[197])).
% fof(199, 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)],[198])).
% fof(200, 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)],[199])).
% cnf(201,plain,(X3=sdtmndt0(X1,X2)|~aNaturalNumber0(X1)|~aNaturalNumber0(X2)|~sdtlseqdt0(X2,X1)|sdtpldt0(X2,X3)!=X1|~aNaturalNumber0(X3)),inference(split_conjunct,[status(thm)],[200])).
% cnf(203,plain,(aNaturalNumber0(X3)|~aNaturalNumber0(X1)|~aNaturalNumber0(X2)|~sdtlseqdt0(X2,X1)|X3!=sdtmndt0(X1,X2)),inference(split_conjunct,[status(thm)],[200])).
% fof(204, negated_conjecture,?[X1]:(((aNaturalNumber0(X1)&~(X1=sz00))&~(X1=sz10))&(![X2]:(((~(aNaturalNumber0(X2))|X2=sz00)|X2=sz10)|(~(iLess0(X2,X1))|?[X3]:((((((aNaturalNumber0(X3)&?[X4]:(aNaturalNumber0(X4)&X2=sdtasdt0(X3,X4)))&doDivides0(X3,X2))&~(X3=sz00))&~(X3=sz10))&![X4]:((~(aNaturalNumber0(X4))|(![X5]:(~(aNaturalNumber0(X5))|~(X3=sdtasdt0(X4,X5)))&~(doDivides0(X4,X3))))|(X4=sz10|X4=X3)))&isPrime0(X3))))&![X2]:((~(aNaturalNumber0(X2))|(![X3]:(~(aNaturalNumber0(X3))|~(X1=sdtasdt0(X2,X3)))&~(doDivides0(X2,X1))))|(((X2=sz00|X2=sz10)|?[X3]:(((aNaturalNumber0(X3)&?[X4]:(aNaturalNumber0(X4)&X2=sdtasdt0(X3,X4)))&doDivides0(X3,X2))&(~(X3=sz10)&~(X3=X2))))&~(isPrime0(X2)))))),inference(fof_nnf,[status(thm)],[39])).
% fof(205, negated_conjecture,?[X6]:(((aNaturalNumber0(X6)&~(X6=sz00))&~(X6=sz10))&(![X7]:(((~(aNaturalNumber0(X7))|X7=sz00)|X7=sz10)|(~(iLess0(X7,X6))|?[X8]:((((((aNaturalNumber0(X8)&?[X9]:(aNaturalNumber0(X9)&X7=sdtasdt0(X8,X9)))&doDivides0(X8,X7))&~(X8=sz00))&~(X8=sz10))&![X10]:((~(aNaturalNumber0(X10))|(![X11]:(~(aNaturalNumber0(X11))|~(X8=sdtasdt0(X10,X11)))&~(doDivides0(X10,X8))))|(X10=sz10|X10=X8)))&isPrime0(X8))))&![X12]:((~(aNaturalNumber0(X12))|(![X13]:(~(aNaturalNumber0(X13))|~(X6=sdtasdt0(X12,X13)))&~(doDivides0(X12,X6))))|(((X12=sz00|X12=sz10)|?[X14]:(((aNaturalNumber0(X14)&?[X15]:(aNaturalNumber0(X15)&X12=sdtasdt0(X14,X15)))&doDivides0(X14,X12))&(~(X14=sz10)&~(X14=X12))))&~(isPrime0(X12)))))),inference(variable_rename,[status(thm)],[204])).
% fof(206, negated_conjecture,(((aNaturalNumber0(esk4_0)&~(esk4_0=sz00))&~(esk4_0=sz10))&(![X7]:(((~(aNaturalNumber0(X7))|X7=sz00)|X7=sz10)|(~(iLess0(X7,esk4_0))|((((((aNaturalNumber0(esk5_1(X7))&(aNaturalNumber0(esk6_1(X7))&X7=sdtasdt0(esk5_1(X7),esk6_1(X7))))&doDivides0(esk5_1(X7),X7))&~(esk5_1(X7)=sz00))&~(esk5_1(X7)=sz10))&![X10]:((~(aNaturalNumber0(X10))|(![X11]:(~(aNaturalNumber0(X11))|~(esk5_1(X7)=sdtasdt0(X10,X11)))&~(doDivides0(X10,esk5_1(X7)))))|(X10=sz10|X10=esk5_1(X7))))&isPrime0(esk5_1(X7)))))&![X12]:((~(aNaturalNumber0(X12))|(![X13]:(~(aNaturalNumber0(X13))|~(esk4_0=sdtasdt0(X12,X13)))&~(doDivides0(X12,esk4_0))))|(((X12=sz00|X12=sz10)|(((aNaturalNumber0(esk7_1(X12))&(aNaturalNumber0(esk8_1(X12))&X12=sdtasdt0(esk7_1(X12),esk8_1(X12))))&doDivides0(esk7_1(X12),X12))&(~(esk7_1(X12)=sz10)&~(esk7_1(X12)=X12))))&~(isPrime0(X12)))))),inference(skolemize,[status(esa)],[205])).
% fof(207, negated_conjecture,![X7]:![X10]:![X11]:![X12]:![X13]:((((((~(aNaturalNumber0(X13))|~(esk4_0=sdtasdt0(X12,X13)))&~(doDivides0(X12,esk4_0)))|~(aNaturalNumber0(X12)))|(((X12=sz00|X12=sz10)|(((aNaturalNumber0(esk7_1(X12))&(aNaturalNumber0(esk8_1(X12))&X12=sdtasdt0(esk7_1(X12),esk8_1(X12))))&doDivides0(esk7_1(X12),X12))&(~(esk7_1(X12)=sz10)&~(esk7_1(X12)=X12))))&~(isPrime0(X12))))&((((((((~(aNaturalNumber0(X11))|~(esk5_1(X7)=sdtasdt0(X10,X11)))&~(doDivides0(X10,esk5_1(X7))))|~(aNaturalNumber0(X10)))|(X10=sz10|X10=esk5_1(X7)))&((((aNaturalNumber0(esk5_1(X7))&(aNaturalNumber0(esk6_1(X7))&X7=sdtasdt0(esk5_1(X7),esk6_1(X7))))&doDivides0(esk5_1(X7),X7))&~(esk5_1(X7)=sz00))&~(esk5_1(X7)=sz10)))&isPrime0(esk5_1(X7)))|~(iLess0(X7,esk4_0)))|((~(aNaturalNumber0(X7))|X7=sz00)|X7=sz10)))&((aNaturalNumber0(esk4_0)&~(esk4_0=sz00))&~(esk4_0=sz10))),inference(shift_quantors,[status(thm)],[206])).
% fof(208, negated_conjecture,![X7]:![X10]:![X11]:![X12]:![X13]:(((((((((aNaturalNumber0(esk7_1(X12))|(X12=sz00|X12=sz10))|((~(aNaturalNumber0(X13))|~(esk4_0=sdtasdt0(X12,X13)))|~(aNaturalNumber0(X12))))&(((aNaturalNumber0(esk8_1(X12))|(X12=sz00|X12=sz10))|((~(aNaturalNumber0(X13))|~(esk4_0=sdtasdt0(X12,X13)))|~(aNaturalNumber0(X12))))&((X12=sdtasdt0(esk7_1(X12),esk8_1(X12))|(X12=sz00|X12=sz10))|((~(aNaturalNumber0(X13))|~(esk4_0=sdtasdt0(X12,X13)))|~(aNaturalNumber0(X12))))))&((doDivides0(esk7_1(X12),X12)|(X12=sz00|X12=sz10))|((~(aNaturalNumber0(X13))|~(esk4_0=sdtasdt0(X12,X13)))|~(aNaturalNumber0(X12)))))&(((~(esk7_1(X12)=sz10)|(X12=sz00|X12=sz10))|((~(aNaturalNumber0(X13))|~(esk4_0=sdtasdt0(X12,X13)))|~(aNaturalNumber0(X12))))&((~(esk7_1(X12)=X12)|(X12=sz00|X12=sz10))|((~(aNaturalNumber0(X13))|~(esk4_0=sdtasdt0(X12,X13)))|~(aNaturalNumber0(X12))))))&(~(isPrime0(X12))|((~(aNaturalNumber0(X13))|~(esk4_0=sdtasdt0(X12,X13)))|~(aNaturalNumber0(X12)))))&((((((aNaturalNumber0(esk7_1(X12))|(X12=sz00|X12=sz10))|(~(doDivides0(X12,esk4_0))|~(aNaturalNumber0(X12))))&(((aNaturalNumber0(esk8_1(X12))|(X12=sz00|X12=sz10))|(~(doDivides0(X12,esk4_0))|~(aNaturalNumber0(X12))))&((X12=sdtasdt0(esk7_1(X12),esk8_1(X12))|(X12=sz00|X12=sz10))|(~(doDivides0(X12,esk4_0))|~(aNaturalNumber0(X12))))))&((doDivides0(esk7_1(X12),X12)|(X12=sz00|X12=sz10))|(~(doDivides0(X12,esk4_0))|~(aNaturalNumber0(X12)))))&(((~(esk7_1(X12)=sz10)|(X12=sz00|X12=sz10))|(~(doDivides0(X12,esk4_0))|~(aNaturalNumber0(X12))))&((~(esk7_1(X12)=X12)|(X12=sz00|X12=sz10))|(~(doDivides0(X12,esk4_0))|~(aNaturalNumber0(X12))))))&(~(isPrime0(X12))|(~(doDivides0(X12,esk4_0))|~(aNaturalNumber0(X12))))))&((((((((~(aNaturalNumber0(X11))|~(esk5_1(X7)=sdtasdt0(X10,X11)))|~(aNaturalNumber0(X10)))|(X10=sz10|X10=esk5_1(X7)))|~(iLess0(X7,esk4_0)))|((~(aNaturalNumber0(X7))|X7=sz00)|X7=sz10))&((((~(doDivides0(X10,esk5_1(X7)))|~(aNaturalNumber0(X10)))|(X10=sz10|X10=esk5_1(X7)))|~(iLess0(X7,esk4_0)))|((~(aNaturalNumber0(X7))|X7=sz00)|X7=sz10)))&((((((aNaturalNumber0(esk5_1(X7))|~(iLess0(X7,esk4_0)))|((~(aNaturalNumber0(X7))|X7=sz00)|X7=sz10))&(((aNaturalNumber0(esk6_1(X7))|~(iLess0(X7,esk4_0)))|((~(aNaturalNumber0(X7))|X7=sz00)|X7=sz10))&((X7=sdtasdt0(esk5_1(X7),esk6_1(X7))|~(iLess0(X7,esk4_0)))|((~(aNaturalNumber0(X7))|X7=sz00)|X7=sz10))))&((doDivides0(esk5_1(X7),X7)|~(iLess0(X7,esk4_0)))|((~(aNaturalNumber0(X7))|X7=sz00)|X7=sz10)))&((~(esk5_1(X7)=sz00)|~(iLess0(X7,esk4_0)))|((~(aNaturalNumber0(X7))|X7=sz00)|X7=sz10)))&((~(esk5_1(X7)=sz10)|~(iLess0(X7,esk4_0)))|((~(aNaturalNumber0(X7))|X7=sz00)|X7=sz10))))&((isPrime0(esk5_1(X7))|~(iLess0(X7,esk4_0)))|((~(aNaturalNumber0(X7))|X7=sz00)|X7=sz10))))&((aNaturalNumber0(esk4_0)&~(esk4_0=sz00))&~(esk4_0=sz10))),inference(distribute,[status(thm)],[207])).
% cnf(209,negated_conjecture,(esk4_0!=sz10),inference(split_conjunct,[status(thm)],[208])).
% cnf(210,negated_conjecture,(esk4_0!=sz00),inference(split_conjunct,[status(thm)],[208])).
% cnf(211,negated_conjecture,(aNaturalNumber0(esk4_0)),inference(split_conjunct,[status(thm)],[208])).
% cnf(212,negated_conjecture,(X1=sz10|X1=sz00|isPrime0(esk5_1(X1))|~aNaturalNumber0(X1)|~iLess0(X1,esk4_0)),inference(split_conjunct,[status(thm)],[208])).
% cnf(215,negated_conjecture,(X1=sz10|X1=sz00|doDivides0(esk5_1(X1),X1)|~aNaturalNumber0(X1)|~iLess0(X1,esk4_0)),inference(split_conjunct,[status(thm)],[208])).
% cnf(218,negated_conjecture,(X1=sz10|X1=sz00|aNaturalNumber0(esk5_1(X1))|~aNaturalNumber0(X1)|~iLess0(X1,esk4_0)),inference(split_conjunct,[status(thm)],[208])).
% cnf(227,negated_conjecture,(X1=sz10|X1=sz00|aNaturalNumber0(esk7_1(X1))|~aNaturalNumber0(X1)|~doDivides0(X1,esk4_0)),inference(split_conjunct,[status(thm)],[208])).
% cnf(228,negated_conjecture,(~aNaturalNumber0(X1)|esk4_0!=sdtasdt0(X1,X2)|~aNaturalNumber0(X2)|~isPrime0(X1)),inference(split_conjunct,[status(thm)],[208])).
% cnf(229,negated_conjecture,(X1=sz10|X1=sz00|~aNaturalNumber0(X1)|esk4_0!=sdtasdt0(X1,X2)|~aNaturalNumber0(X2)|esk7_1(X1)!=X1),inference(split_conjunct,[status(thm)],[208])).
% cnf(230,negated_conjecture,(X1=sz10|X1=sz00|~aNaturalNumber0(X1)|esk4_0!=sdtasdt0(X1,X2)|~aNaturalNumber0(X2)|esk7_1(X1)!=sz10),inference(split_conjunct,[status(thm)],[208])).
% cnf(231,negated_conjecture,(X1=sz10|X1=sz00|doDivides0(esk7_1(X1),X1)|~aNaturalNumber0(X1)|esk4_0!=sdtasdt0(X1,X2)|~aNaturalNumber0(X2)),inference(split_conjunct,[status(thm)],[208])).
% cnf(232,negated_conjecture,(X1=sz10|X1=sz00|X1=sdtasdt0(esk7_1(X1),esk8_1(X1))|~aNaturalNumber0(X1)|esk4_0!=sdtasdt0(X1,X2)|~aNaturalNumber0(X2)),inference(split_conjunct,[status(thm)],[208])).
% cnf(233,negated_conjecture,(X1=sz10|X1=sz00|aNaturalNumber0(esk8_1(X1))|~aNaturalNumber0(X1)|esk4_0!=sdtasdt0(X1,X2)|~aNaturalNumber0(X2)),inference(split_conjunct,[status(thm)],[208])).
% cnf(234,negated_conjecture,(X1=sz10|X1=sz00|aNaturalNumber0(esk7_1(X1))|~aNaturalNumber0(X1)|esk4_0!=sdtasdt0(X1,X2)|~aNaturalNumber0(X2)),inference(split_conjunct,[status(thm)],[208])).
% cnf(236,plain,(sdtsldt0(X1,X2)=X3|sz00=X2|sdtasdt0(X2,X3)!=X1|~aNaturalNumber0(X3)|~aNaturalNumber0(X2)|~aNaturalNumber0(X1)),inference(csr,[status(thm)],[105,80])).
% cnf(239,plain,(sdtmndt0(X1,X2)=X3|sdtpldt0(X2,X3)!=X1|~aNaturalNumber0(X3)|~aNaturalNumber0(X2)|~aNaturalNumber0(X1)),inference(csr,[status(thm)],[201,188])).
% cnf(274,negated_conjecture,(sdtlseqdt0(esk7_1(X1),X2)|sdtlseqdt0(X2,esk7_1(X1))|sz00=X1|sz10=X1|~aNaturalNumber0(X2)|~doDivides0(X1,esk4_0)|~aNaturalNumber0(X1)),inference(spm,[status(thm)],[177,227,theory(equality)])).
% cnf(275,negated_conjecture,(sdtlseqdt0(esk4_0,X1)|sdtlseqdt0(X1,esk4_0)|~aNaturalNumber0(X1)),inference(spm,[status(thm)],[177,211,theory(equality)])).
% cnf(356,plain,(sz00=X1|sdtlseqdt0(sz10,X1)|~aNaturalNumber0(X1)|~aNaturalNumber0(sz10)),inference(spm,[status(thm)],[124,57,theory(equality)])).
% cnf(361,plain,(sz00=X1|sdtlseqdt0(sz10,X1)|~aNaturalNumber0(X1)|$false),inference(rw,[status(thm)],[356,44,theory(equality)])).
% cnf(362,plain,(sz00=X1|sdtlseqdt0(sz10,X1)|~aNaturalNumber0(X1)),inference(cn,[status(thm)],[361,theory(equality)])).
% cnf(392,plain,(doDivides0(X1,sdtasdt0(X1,X2))|~aNaturalNumber0(X2)|~aNaturalNumber0(X1)|~aNaturalNumber0(sdtasdt0(X1,X2))),inference(er,[status(thm)],[80,theory(equality)])).
% cnf(395,plain,(doDivides0(sz10,X1)|X2!=X1|~aNaturalNumber0(X2)|~aNaturalNumber0(sz10)|~aNaturalNumber0(X1)),inference(spm,[status(thm)],[80,57,theory(equality)])).
% cnf(397,plain,(doDivides0(X1,X2)|X1!=X2|~aNaturalNumber0(sz10)|~aNaturalNumber0(X1)|~aNaturalNumber0(X2)),inference(spm,[status(thm)],[80,58,theory(equality)])).
% cnf(398,plain,(doDivides0(X1,X2)|sz00!=X2|~aNaturalNumber0(sz00)|~aNaturalNumber0(X1)|~aNaturalNumber0(X2)),inference(spm,[status(thm)],[80,63,theory(equality)])).
% cnf(403,plain,(doDivides0(sz10,X1)|X2!=X1|~aNaturalNumber0(X2)|$false|~aNaturalNumber0(X1)),inference(rw,[status(thm)],[395,44,theory(equality)])).
% cnf(404,plain,(doDivides0(sz10,X1)|X2!=X1|~aNaturalNumber0(X2)|~aNaturalNumber0(X1)),inference(cn,[status(thm)],[403,theory(equality)])).
% cnf(405,plain,(doDivides0(sz10,X1)|~aNaturalNumber0(X1)),inference(er,[status(thm)],[404,theory(equality)])).
% cnf(408,plain,(doDivides0(X1,X2)|X1!=X2|$false|~aNaturalNumber0(X1)|~aNaturalNumber0(X2)),inference(rw,[status(thm)],[397,44,theory(equality)])).
% cnf(409,plain,(doDivides0(X1,X2)|X1!=X2|~aNaturalNumber0(X1)|~aNaturalNumber0(X2)),inference(cn,[status(thm)],[408,theory(equality)])).
% cnf(410,plain,(doDivides0(X1,X1)|~aNaturalNumber0(X1)),inference(er,[status(thm)],[409,theory(equality)])).
% cnf(411,plain,(doDivides0(X1,X2)|sz00!=X2|$false|~aNaturalNumber0(X1)|~aNaturalNumber0(X2)),inference(rw,[status(thm)],[398,42,theory(equality)])).
% cnf(412,plain,(doDivides0(X1,X2)|sz00!=X2|~aNaturalNumber0(X1)|~aNaturalNumber0(X2)),inference(cn,[status(thm)],[411,theory(equality)])).
% cnf(453,plain,(sz00=esk1_2(X1,X2)|sdtlseqdt0(X1,X2)|~aNaturalNumber0(esk1_2(X1,X2))|~aNaturalNumber0(X1)|~doDivides0(X1,X2)|~aNaturalNumber0(X2)),inference(spm,[status(thm)],[124,78,theory(equality)])).
% cnf(455,negated_conjecture,(X2!=esk4_0|~isPrime0(X1)|~aNaturalNumber0(esk1_2(X1,X2))|~aNaturalNumber0(X1)|~doDivides0(X1,X2)|~aNaturalNumber0(X2)),inference(spm,[status(thm)],[228,78,theory(equality)])).
% cnf(457,negated_conjecture,(sz00=X1|sz10=X1|X2!=esk4_0|esk7_1(X1)!=sz10|~aNaturalNumber0(esk1_2(X1,X2))|~aNaturalNumber0(X1)|~doDivides0(X1,X2)|~aNaturalNumber0(X2)),inference(spm,[status(thm)],[230,78,theory(equality)])).
% cnf(458,negated_conjecture,(sz00=X1|sz10=X1|X2!=esk4_0|esk7_1(X1)!=X1|~aNaturalNumber0(esk1_2(X1,X2))|~aNaturalNumber0(X1)|~doDivides0(X1,X2)|~aNaturalNumber0(X2)),inference(spm,[status(thm)],[229,78,theory(equality)])).
% cnf(459,negated_conjecture,(sz00=X1|sz10=X1|aNaturalNumber0(esk7_1(X1))|X2!=esk4_0|~aNaturalNumber0(esk1_2(X1,X2))|~aNaturalNumber0(X1)|~doDivides0(X1,X2)|~aNaturalNumber0(X2)),inference(spm,[status(thm)],[234,78,theory(equality)])).
% cnf(460,negated_conjecture,(sz00=X1|sz10=X1|aNaturalNumber0(esk8_1(X1))|X2!=esk4_0|~aNaturalNumber0(esk1_2(X1,X2))|~aNaturalNumber0(X1)|~doDivides0(X1,X2)|~aNaturalNumber0(X2)),inference(spm,[status(thm)],[233,78,theory(equality)])).
% cnf(468,plain,(sdtasdt0(X1,sdtasdt0(X2,sz10))=sdtasdt0(X1,X2)|~aNaturalNumber0(sdtasdt0(X1,X2))|~aNaturalNumber0(sz10)|~aNaturalNumber0(X2)|~aNaturalNumber0(X1)),inference(spm,[status(thm)],[58,53,theory(equality)])).
% cnf(469,plain,(sdtasdt0(X1,sdtasdt0(X2,sz00))=sz00|~aNaturalNumber0(sdtasdt0(X1,X2))|~aNaturalNumber0(sz00)|~aNaturalNumber0(X2)|~aNaturalNumber0(X1)),inference(spm,[status(thm)],[63,53,theory(equality)])).
% cnf(470,plain,(sdtasdt0(X1,sdtasdt0(X2,X3))=sdtasdt0(X2,sdtasdt0(X3,X1))|~aNaturalNumber0(sdtasdt0(X2,X3))|~aNaturalNumber0(X1)|~aNaturalNumber0(X3)|~aNaturalNumber0(X2)),inference(spm,[status(thm)],[50,53,theory(equality)])).
% cnf(481,plain,(doDivides0(sdtasdt0(X1,X2),X3)|sdtasdt0(X1,sdtasdt0(X2,X4))!=X3|~aNaturalNumber0(X4)|~aNaturalNumber0(sdtasdt0(X1,X2))|~aNaturalNumber0(X3)|~aNaturalNumber0(X2)|~aNaturalNumber0(X1)),inference(spm,[status(thm)],[80,53,theory(equality)])).
% cnf(484,plain,(sdtasdt0(X1,X2)=sdtasdt0(sz10,sdtasdt0(X1,X2))|~aNaturalNumber0(X2)|~aNaturalNumber0(X1)|~aNaturalNumber0(sz10)),inference(spm,[status(thm)],[53,57,theory(equality)])).
% cnf(485,plain,(sdtasdt0(sz00,X2)=sdtasdt0(sz00,sdtasdt0(X1,X2))|~aNaturalNumber0(X2)|~aNaturalNumber0(X1)|~aNaturalNumber0(sz00)),inference(spm,[status(thm)],[53,62,theory(equality)])).
% cnf(491,plain,(sdtasdt0(X1,sdtasdt0(X2,sz10))=sdtasdt0(X1,X2)|~aNaturalNumber0(sdtasdt0(X1,X2))|$false|~aNaturalNumber0(X2)|~aNaturalNumber0(X1)),inference(rw,[status(thm)],[468,44,theory(equality)])).
% cnf(492,plain,(sdtasdt0(X1,sdtasdt0(X2,sz10))=sdtasdt0(X1,X2)|~aNaturalNumber0(sdtasdt0(X1,X2))|~aNaturalNumber0(X2)|~aNaturalNumber0(X1)),inference(cn,[status(thm)],[491,theory(equality)])).
% cnf(493,plain,(sdtasdt0(X1,sdtasdt0(X2,sz00))=sz00|~aNaturalNumber0(sdtasdt0(X1,X2))|$false|~aNaturalNumber0(X2)|~aNaturalNumber0(X1)),inference(rw,[status(thm)],[469,42,theory(equality)])).
% cnf(494,plain,(sdtasdt0(X1,sdtasdt0(X2,sz00))=sz00|~aNaturalNumber0(sdtasdt0(X1,X2))|~aNaturalNumber0(X2)|~aNaturalNumber0(X1)),inference(cn,[status(thm)],[493,theory(equality)])).
% cnf(495,plain,(sdtasdt0(X1,X2)=sdtasdt0(sz10,sdtasdt0(X1,X2))|~aNaturalNumber0(X2)|~aNaturalNumber0(X1)|$false),inference(rw,[status(thm)],[484,44,theory(equality)])).
% cnf(496,plain,(sdtasdt0(X1,X2)=sdtasdt0(sz10,sdtasdt0(X1,X2))|~aNaturalNumber0(X2)|~aNaturalNumber0(X1)),inference(cn,[status(thm)],[495,theory(equality)])).
% cnf(497,plain,(sdtasdt0(sz00,X2)=sdtasdt0(sz00,sdtasdt0(X1,X2))|~aNaturalNumber0(X2)|~aNaturalNumber0(X1)|$false),inference(rw,[status(thm)],[485,42,theory(equality)])).
% cnf(498,plain,(sdtasdt0(sz00,X2)=sdtasdt0(sz00,sdtasdt0(X1,X2))|~aNaturalNumber0(X2)|~aNaturalNumber0(X1)),inference(cn,[status(thm)],[497,theory(equality)])).
% cnf(506,negated_conjecture,(sz00=X1|sz10=X1|doDivides0(esk7_1(X1),X1)|X2!=esk4_0|~aNaturalNumber0(esk1_2(X1,X2))|~aNaturalNumber0(X1)|~doDivides0(X1,X2)|~aNaturalNumber0(X2)),inference(spm,[status(thm)],[231,78,theory(equality)])).
% cnf(587,plain,(sdtlseqdt0(sz00,X1)|X2!=X1|~aNaturalNumber0(X2)|~aNaturalNumber0(sz00)|~aNaturalNumber0(X1)),inference(spm,[status(thm)],[188,136,theory(equality)])).
% cnf(591,plain,(sdtlseqdt0(sz00,X1)|X2!=X1|~aNaturalNumber0(X2)|$false|~aNaturalNumber0(X1)),inference(rw,[status(thm)],[587,42,theory(equality)])).
% cnf(592,plain,(sdtlseqdt0(sz00,X1)|X2!=X1|~aNaturalNumber0(X2)|~aNaturalNumber0(X1)),inference(cn,[status(thm)],[591,theory(equality)])).
% cnf(593,plain,(sdtlseqdt0(sz00,X1)|~aNaturalNumber0(X1)),inference(er,[status(thm)],[592,theory(equality)])).
% cnf(601,negated_conjecture,(sdtasdt0(esk7_1(X1),esk8_1(X1))=X1|sz00=X1|sz10=X1|X2!=esk4_0|~aNaturalNumber0(esk1_2(X1,X2))|~aNaturalNumber0(X1)|~doDivides0(X1,X2)|~aNaturalNumber0(X2)),inference(spm,[status(thm)],[232,78,theory(equality)])).
% cnf(636,plain,(doDivides0(X1,X2)|~doDivides0(X1,sdtpldt0(X2,X3))|~doDivides0(X1,X3)|~aNaturalNumber0(X3)|~aNaturalNumber0(X2)|~aNaturalNumber0(X1)),inference(spm,[status(thm)],[148,156,theory(equality)])).
% cnf(690,plain,(sdtasdt0(X1,sdtsldt0(X2,X1))=X2|sz00=X1|~doDivides0(X1,X2)|~aNaturalNumber0(X1)|~aNaturalNumber0(X2)),inference(er,[status(thm)],[106,theory(equality)])).
% cnf(693,plain,(sz00=sdtasdt0(X1,X2)|sdtasdt0(X1,sdtpldt0(X2,X3))!=sz00|~aNaturalNumber0(sdtasdt0(X1,X2))|~aNaturalNumber0(sdtasdt0(X1,X3))|~aNaturalNumber0(X1)|~aNaturalNumber0(X2)|~aNaturalNumber0(X3)),inference(spm,[status(thm)],[142,132,theory(equality)])).
% cnf(695,plain,(aNaturalNumber0(sdtasdt0(X1,sdtpldt0(X2,X3)))|~aNaturalNumber0(sdtasdt0(X1,X3))|~aNaturalNumber0(sdtasdt0(X1,X2))|~aNaturalNumber0(X1)|~aNaturalNumber0(X2)|~aNaturalNumber0(X3)),inference(spm,[status(thm)],[153,132,theory(equality)])).
% cnf(707,plain,(sdtpldt0(sdtasdt0(sz00,X1),sz00)=sdtasdt0(sz00,sdtpldt0(X1,X2))|~aNaturalNumber0(sz00)|~aNaturalNumber0(X1)|~aNaturalNumber0(X2)),inference(spm,[status(thm)],[132,62,theory(equality)])).
% cnf(709,plain,(sdtpldt0(sdtasdt0(X1,X2),X1)=sdtasdt0(X1,sdtpldt0(X2,sz10))|~aNaturalNumber0(X1)|~aNaturalNumber0(X2)|~aNaturalNumber0(sz10)),inference(spm,[status(thm)],[132,58,theory(equality)])).
% cnf(710,plain,(sdtpldt0(sdtasdt0(X1,X2),sz00)=sdtasdt0(X1,sdtpldt0(X2,sz00))|~aNaturalNumber0(X1)|~aNaturalNumber0(X2)|~aNaturalNumber0(sz00)),inference(spm,[status(thm)],[132,63,theory(equality)])).
% cnf(719,plain,(sdtpldt0(X1,sdtasdt0(X1,X2))=sdtasdt0(X1,sdtpldt0(sz10,X2))|~aNaturalNumber0(X1)|~aNaturalNumber0(sz10)|~aNaturalNumber0(X2)),inference(spm,[status(thm)],[132,58,theory(equality)])).
% cnf(725,plain,(sdtpldt0(sdtasdt0(sz00,X1),sz00)=sdtasdt0(sz00,sdtpldt0(X1,X2))|$false|~aNaturalNumber0(X1)|~aNaturalNumber0(X2)),inference(rw,[status(thm)],[707,42,theory(equality)])).
% cnf(726,plain,(sdtpldt0(sdtasdt0(sz00,X1),sz00)=sdtasdt0(sz00,sdtpldt0(X1,X2))|~aNaturalNumber0(X1)|~aNaturalNumber0(X2)),inference(cn,[status(thm)],[725,theory(equality)])).
% cnf(727,plain,(sdtpldt0(sdtasdt0(X1,X2),X1)=sdtasdt0(X1,sdtpldt0(X2,sz10))|~aNaturalNumber0(X1)|~aNaturalNumber0(X2)|$false),inference(rw,[status(thm)],[709,44,theory(equality)])).
% cnf(728,plain,(sdtpldt0(sdtasdt0(X1,X2),X1)=sdtasdt0(X1,sdtpldt0(X2,sz10))|~aNaturalNumber0(X1)|~aNaturalNumber0(X2)),inference(cn,[status(thm)],[727,theory(equality)])).
% cnf(729,plain,(sdtpldt0(sdtasdt0(X1,X2),sz00)=sdtasdt0(X1,sdtpldt0(X2,sz00))|~aNaturalNumber0(X1)|~aNaturalNumber0(X2)|$false),inference(rw,[status(thm)],[710,42,theory(equality)])).
% cnf(730,plain,(sdtpldt0(sdtasdt0(X1,X2),sz00)=sdtasdt0(X1,sdtpldt0(X2,sz00))|~aNaturalNumber0(X1)|~aNaturalNumber0(X2)),inference(cn,[status(thm)],[729,theory(equality)])).
% cnf(735,plain,(sdtpldt0(X1,sdtasdt0(X1,X2))=sdtasdt0(X1,sdtpldt0(sz10,X2))|~aNaturalNumber0(X1)|$false|~aNaturalNumber0(X2)),inference(rw,[status(thm)],[719,44,theory(equality)])).
% cnf(736,plain,(sdtpldt0(X1,sdtasdt0(X1,X2))=sdtasdt0(X1,sdtpldt0(sz10,X2))|~aNaturalNumber0(X1)|~aNaturalNumber0(X2)),inference(cn,[status(thm)],[735,theory(equality)])).
% cnf(792,plain,(sdtsldt0(X1,sz10)=X2|sz00=sz10|X2!=X1|~aNaturalNumber0(X2)|~aNaturalNumber0(sz10)|~aNaturalNumber0(X1)),inference(spm,[status(thm)],[236,57,theory(equality)])).
% cnf(794,plain,(sdtsldt0(X1,X2)=sz10|sz00=X2|X2!=X1|~aNaturalNumber0(sz10)|~aNaturalNumber0(X2)|~aNaturalNumber0(X1)),inference(spm,[status(thm)],[236,58,theory(equality)])).
% cnf(800,plain,(sdtsldt0(X1,sz10)=X2|sz00=sz10|X2!=X1|~aNaturalNumber0(X2)|$false|~aNaturalNumber0(X1)),inference(rw,[status(thm)],[792,44,theory(equality)])).
% cnf(801,plain,(sdtsldt0(X1,sz10)=X2|sz00=sz10|X2!=X1|~aNaturalNumber0(X2)|~aNaturalNumber0(X1)),inference(cn,[status(thm)],[800,theory(equality)])).
% cnf(802,plain,(sdtsldt0(X1,sz10)=X2|X2!=X1|~aNaturalNumber0(X2)|~aNaturalNumber0(X1)),inference(sr,[status(thm)],[801,43,theory(equality)])).
% cnf(803,plain,(sdtsldt0(X1,sz10)=X1|~aNaturalNumber0(X1)),inference(er,[status(thm)],[802,theory(equality)])).
% cnf(805,plain,(sdtsldt0(X1,X2)=sz10|sz00=X2|X2!=X1|$false|~aNaturalNumber0(X2)|~aNaturalNumber0(X1)),inference(rw,[status(thm)],[794,44,theory(equality)])).
% cnf(806,plain,(sdtsldt0(X1,X2)=sz10|sz00=X2|X2!=X1|~aNaturalNumber0(X2)|~aNaturalNumber0(X1)),inference(cn,[status(thm)],[805,theory(equality)])).
% cnf(807,plain,(sdtsldt0(X1,X1)=sz10|sz00=X1|~aNaturalNumber0(X1)),inference(er,[status(thm)],[806,theory(equality)])).
% cnf(815,plain,(sdtmndt0(X1,X2)=sz00|X2!=X1|~aNaturalNumber0(sz00)|~aNaturalNumber0(X2)|~aNaturalNumber0(X1)),inference(spm,[status(thm)],[239,137,theory(equality)])).
% cnf(822,plain,(sdtmndt0(X1,X2)=sz00|X2!=X1|$false|~aNaturalNumber0(X2)|~aNaturalNumber0(X1)),inference(rw,[status(thm)],[815,42,theory(equality)])).
% cnf(823,plain,(sdtmndt0(X1,X2)=sz00|X2!=X1|~aNaturalNumber0(X2)|~aNaturalNumber0(X1)),inference(cn,[status(thm)],[822,theory(equality)])).
% cnf(824,plain,(sdtmndt0(X1,X1)=sz00|~aNaturalNumber0(X1)),inference(er,[status(thm)],[823,theory(equality)])).
% cnf(863,plain,(sdtsldt0(X1,X2)=sdtasdt0(X1,sdtsldt0(sz10,X2))|sz00=X2|~doDivides0(X2,sz10)|~aNaturalNumber0(X1)|~aNaturalNumber0(X2)|~aNaturalNumber0(sz10)),inference(spm,[status(thm)],[114,58,theory(equality)])).
% cnf(871,plain,(sdtsldt0(X1,X2)=sdtasdt0(X1,sdtsldt0(sz10,X2))|sz00=X2|~doDivides0(X2,sz10)|~aNaturalNumber0(X1)|~aNaturalNumber0(X2)|$false),inference(rw,[status(thm)],[863,44,theory(equality)])).
% cnf(872,plain,(sdtsldt0(X1,X2)=sdtasdt0(X1,sdtsldt0(sz10,X2))|sz00=X2|~doDivides0(X2,sz10)|~aNaturalNumber0(X1)|~aNaturalNumber0(X2)),inference(cn,[status(thm)],[871,theory(equality)])).
% cnf(1010,plain,(doDivides0(sdtpldt0(X1,X2),X2)|~doDivides0(sdtpldt0(X1,X2),X1)|~aNaturalNumber0(X1)|~aNaturalNumber0(X2)|~aNaturalNumber0(sdtpldt0(X1,X2))),inference(spm,[status(thm)],[148,410,theory(equality)])).
% cnf(1017,negated_conjecture,(sz10=esk4_0|sz00=esk4_0|sdtlseqdt0(X1,esk7_1(esk4_0))|sdtlseqdt0(esk7_1(esk4_0),X1)|~aNaturalNumber0(X1)|~aNaturalNumber0(esk4_0)),inference(spm,[status(thm)],[274,410,theory(equality)])).
% cnf(1031,negated_conjecture,(sz10=esk4_0|sz00=esk4_0|sdtlseqdt0(X1,esk7_1(esk4_0))|sdtlseqdt0(esk7_1(esk4_0),X1)|~aNaturalNumber0(X1)|$false),inference(rw,[status(thm)],[1017,211,theory(equality)])).
% cnf(1032,negated_conjecture,(sz10=esk4_0|sz00=esk4_0|sdtlseqdt0(X1,esk7_1(esk4_0))|sdtlseqdt0(esk7_1(esk4_0),X1)|~aNaturalNumber0(X1)),inference(cn,[status(thm)],[1031,theory(equality)])).
% cnf(1033,negated_conjecture,(esk4_0=sz00|sdtlseqdt0(X1,esk7_1(esk4_0))|sdtlseqdt0(esk7_1(esk4_0),X1)|~aNaturalNumber0(X1)),inference(sr,[status(thm)],[1032,209,theory(equality)])).
% cnf(1034,negated_conjecture,(sdtlseqdt0(X1,esk7_1(esk4_0))|sdtlseqdt0(esk7_1(esk4_0),X1)|~aNaturalNumber0(X1)),inference(sr,[status(thm)],[1033,210,theory(equality)])).
% cnf(1050,plain,(X1=sz00|~sdtlseqdt0(X1,sz00)|~aNaturalNumber0(sz00)|~aNaturalNumber0(X1)),inference(spm,[status(thm)],[170,593,theory(equality)])).
% cnf(1053,plain,(X1=sz00|~sdtlseqdt0(X1,sz00)|$false|~aNaturalNumber0(X1)),inference(rw,[status(thm)],[1050,42,theory(equality)])).
% cnf(1054,plain,(X1=sz00|~sdtlseqdt0(X1,sz00)|~aNaturalNumber0(X1)),inference(cn,[status(thm)],[1053,theory(equality)])).
% cnf(1068,negated_conjecture,(sdtlseqdt0(sz00,esk4_0)|sdtlseqdt0(esk4_0,sz00)),inference(spm,[status(thm)],[275,42,theory(equality)])).
% cnf(1366,plain,(aNaturalNumber0(X1)|sz00!=X1|~sdtlseqdt0(X2,X2)|~aNaturalNumber0(X2)),inference(spm,[status(thm)],[203,824,theory(equality)])).
% cnf(1448,plain,(X1=sz10|sz00=X1|~sdtlseqdt0(X1,sz10)|~aNaturalNumber0(sz10)|~aNaturalNumber0(X1)),inference(spm,[status(thm)],[170,362,theory(equality)])).
% cnf(1455,plain,(X1=sz10|sz00=X1|~sdtlseqdt0(X1,sz10)|$false|~aNaturalNumber0(X1)),inference(rw,[status(thm)],[1448,44,theory(equality)])).
% cnf(1456,plain,(X1=sz10|sz00=X1|~sdtlseqdt0(X1,sz10)|~aNaturalNumber0(X1)),inference(cn,[status(thm)],[1455,theory(equality)])).
% cnf(1513,negated_conjecture,(esk4_0=sz00|sdtlseqdt0(sz00,esk4_0)|~aNaturalNumber0(esk4_0)),inference(spm,[status(thm)],[1054,1068,theory(equality)])).
% cnf(1515,negated_conjecture,(esk4_0=sz00|sdtlseqdt0(sz00,esk4_0)|$false),inference(rw,[status(thm)],[1513,211,theory(equality)])).
% cnf(1516,negated_conjecture,(esk4_0=sz00|sdtlseqdt0(sz00,esk4_0)),inference(cn,[status(thm)],[1515,theory(equality)])).
% cnf(1517,negated_conjecture,(sdtlseqdt0(sz00,esk4_0)),inference(sr,[status(thm)],[1516,210,theory(equality)])).
% cnf(1521,negated_conjecture,(esk4_0=sz00|~sdtlseqdt0(esk4_0,sz00)|~aNaturalNumber0(sz00)|~aNaturalNumber0(esk4_0)),inference(spm,[status(thm)],[170,1517,theory(equality)])).
% cnf(1525,negated_conjecture,(esk4_0=sz00|~sdtlseqdt0(esk4_0,sz00)|$false|~aNaturalNumber0(esk4_0)),inference(rw,[status(thm)],[1521,42,theory(equality)])).
% cnf(1526,negated_conjecture,(esk4_0=sz00|~sdtlseqdt0(esk4_0,sz00)|$false|$false),inference(rw,[status(thm)],[1525,211,theory(equality)])).
% cnf(1527,negated_conjecture,(esk4_0=sz00|~sdtlseqdt0(esk4_0,sz00)),inference(cn,[status(thm)],[1526,theory(equality)])).
% cnf(1528,negated_conjecture,(~sdtlseqdt0(esk4_0,sz00)),inference(sr,[status(thm)],[1527,210,theory(equality)])).
% cnf(1597,plain,(sz00=X1|aNaturalNumber0(X2)|sz10!=X2|~doDivides0(X1,X1)|~aNaturalNumber0(X1)),inference(spm,[status(thm)],[107,807,theory(equality)])).
% cnf(1598,plain,(sdtasdt0(X1,X2)=X1|sz00=X1|sz10!=X2|~doDivides0(X1,X1)|~aNaturalNumber0(X1)),inference(spm,[status(thm)],[106,807,theory(equality)])).
% cnf(1708,plain,(sz00=X1|aNaturalNumber0(X2)|sz10!=X2|~aNaturalNumber0(X1)),inference(csr,[status(thm)],[1597,410])).
% cnf(1713,negated_conjecture,(sz00=esk4_0|aNaturalNumber0(X1)|sz10!=X1),inference(spm,[status(thm)],[1708,211,theory(equality)])).
% cnf(1720,negated_conjecture,(aNaturalNumber0(X1)|sz10!=X1),inference(sr,[status(thm)],[1713,210,theory(equality)])).
% cnf(1755,plain,(sz00=X1|X1=sz10|sz00=sz10|~aNaturalNumber0(X1)|~doDivides0(X1,sz10)|~aNaturalNumber0(sz10)),inference(spm,[status(thm)],[1456,110,theory(equality)])).
% cnf(1761,plain,(sz00=X1|X1=sz10|sz00=sz10|~aNaturalNumber0(X1)|~doDivides0(X1,sz10)|$false),inference(rw,[status(thm)],[1755,44,theory(equality)])).
% cnf(1762,plain,(sz00=X1|X1=sz10|sz00=sz10|~aNaturalNumber0(X1)|~doDivides0(X1,sz10)),inference(cn,[status(thm)],[1761,theory(equality)])).
% cnf(1763,plain,(sz00=X1|X1=sz10|~aNaturalNumber0(X1)|~doDivides0(X1,sz10)),inference(sr,[status(thm)],[1762,43,theory(equality)])).
% cnf(1912,plain,(sdtasdt0(sz00,sz00)=sdtasdt0(sz00,X1)|~aNaturalNumber0(X1)|~aNaturalNumber0(sz00)),inference(spm,[status(thm)],[498,62,theory(equality)])).
% cnf(1913,plain,(sdtasdt0(sz00,X2)=sdtasdt0(sz00,esk1_2(X1,X2))|~aNaturalNumber0(esk1_2(X1,X2))|~aNaturalNumber0(X1)|~doDivides0(X1,X2)|~aNaturalNumber0(X2)),inference(spm,[status(thm)],[498,78,theory(equality)])).
% cnf(1914,plain,(sdtasdt0(sz00,X1)=sdtasdt0(sz00,sz10)|~aNaturalNumber0(sz10)|~aNaturalNumber0(X1)),inference(spm,[status(thm)],[498,58,theory(equality)])).
% cnf(1949,plain,(sdtasdt0(sz00,sz00)=sdtasdt0(sz00,X1)|~aNaturalNumber0(X1)|$false),inference(rw,[status(thm)],[1912,42,theory(equality)])).
% cnf(1950,plain,(sdtasdt0(sz00,sz00)=sdtasdt0(sz00,X1)|~aNaturalNumber0(X1)),inference(cn,[status(thm)],[1949,theory(equality)])).
% cnf(1951,plain,(sdtasdt0(sz00,X1)=sdtasdt0(sz00,sz10)|$false|~aNaturalNumber0(X1)),inference(rw,[status(thm)],[1914,44,theory(equality)])).
% cnf(1952,plain,(sdtasdt0(sz00,X1)=sdtasdt0(sz00,sz10)|~aNaturalNumber0(X1)),inference(cn,[status(thm)],[1951,theory(equality)])).
% cnf(1954,plain,(sdtasdt0(sz00,sz00)=sz00|~aNaturalNumber0(sz00)|~aNaturalNumber0(sz10)),inference(spm,[status(thm)],[58,1950,theory(equality)])).
% cnf(1997,plain,(sdtasdt0(sz00,sz00)=sz00|$false|~aNaturalNumber0(sz10)),inference(rw,[status(thm)],[1954,42,theory(equality)])).
% cnf(1998,plain,(sdtasdt0(sz00,sz00)=sz00|$false|$false),inference(rw,[status(thm)],[1997,44,theory(equality)])).
% cnf(1999,plain,(sdtasdt0(sz00,sz00)=sz00),inference(cn,[status(thm)],[1998,theory(equality)])).
% cnf(2101,plain,(sdtasdt0(sz00,X1)=sdtasdt0(sz00,sdtasdt0(sz00,X1))|~aNaturalNumber0(X1)|~aNaturalNumber0(sz00)),inference(spm,[status(thm)],[53,1999,theory(equality)])).
% cnf(2122,plain,(sdtasdt0(sz00,X1)=sdtasdt0(sz00,sdtasdt0(sz00,X1))|~aNaturalNumber0(X1)|$false),inference(rw,[status(thm)],[2101,42,theory(equality)])).
% cnf(2123,plain,(sdtasdt0(sz00,X1)=sdtasdt0(sz00,sdtasdt0(sz00,X1))|~aNaturalNumber0(X1)),inference(cn,[status(thm)],[2122,theory(equality)])).
% cnf(2189,plain,(sdtasdt0(sz00,sz10)=sz00|~aNaturalNumber0(sz00)|~aNaturalNumber0(sz10)),inference(spm,[status(thm)],[58,1952,theory(equality)])).
% cnf(2278,plain,(sdtasdt0(sz00,sz10)=sz00|$false|~aNaturalNumber0(sz10)),inference(rw,[status(thm)],[2189,42,theory(equality)])).
% cnf(2279,plain,(sdtasdt0(sz00,sz10)=sz00|$false|$false),inference(rw,[status(thm)],[2278,44,theory(equality)])).
% cnf(2280,plain,(sdtasdt0(sz00,sz10)=sz00),inference(cn,[status(thm)],[2279,theory(equality)])).
% cnf(2323,plain,(sz00=sz10|sz00=X1|sz00!=sdtasdt0(X1,sz10)|~aNaturalNumber0(X1)|~aNaturalNumber0(sz00)|~aNaturalNumber0(sz10)),inference(spm,[status(thm)],[68,2280,theory(equality)])).
% cnf(2327,plain,(sdtasdt0(sz00,X1)=sdtasdt0(sz00,sdtasdt0(sz10,X1))|~aNaturalNumber0(X1)|~aNaturalNumber0(sz10)|~aNaturalNumber0(sz00)),inference(spm,[status(thm)],[53,2280,theory(equality)])).
% cnf(2345,plain,(sz00=sz10|sz00=X1|sz00!=sdtasdt0(X1,sz10)|~aNaturalNumber0(X1)|$false|~aNaturalNumber0(sz10)),inference(rw,[status(thm)],[2323,42,theory(equality)])).
% cnf(2346,plain,(sz00=sz10|sz00=X1|sz00!=sdtasdt0(X1,sz10)|~aNaturalNumber0(X1)|$false|$false),inference(rw,[status(thm)],[2345,44,theory(equality)])).
% cnf(2347,plain,(sz00=sz10|sz00=X1|sz00!=sdtasdt0(X1,sz10)|~aNaturalNumber0(X1)),inference(cn,[status(thm)],[2346,theory(equality)])).
% cnf(2348,plain,(sz00=X1|sdtasdt0(X1,sz10)!=sz00|~aNaturalNumber0(X1)),inference(sr,[status(thm)],[2347,43,theory(equality)])).
% cnf(2360,plain,(sdtasdt0(sz00,X1)=sdtasdt0(sz00,sdtasdt0(sz10,X1))|~aNaturalNumber0(X1)|$false|~aNaturalNumber0(sz00)),inference(rw,[status(thm)],[2327,44,theory(equality)])).
% cnf(2361,plain,(sdtasdt0(sz00,X1)=sdtasdt0(sz00,sdtasdt0(sz10,X1))|~aNaturalNumber0(X1)|$false|$false),inference(rw,[status(thm)],[2360,42,theory(equality)])).
% cnf(2362,plain,(sdtasdt0(sz00,X1)=sdtasdt0(sz00,sdtasdt0(sz10,X1))|~aNaturalNumber0(X1)),inference(cn,[status(thm)],[2361,theory(equality)])).
% cnf(2406,plain,(sz00=X1|sdtasdt0(sz10,X1)!=sz00|~aNaturalNumber0(X1)|~aNaturalNumber0(sz10)),inference(spm,[status(thm)],[2348,50,theory(equality)])).
% cnf(2413,plain,(sz00=X1|sdtasdt0(sz10,X1)!=sz00|~aNaturalNumber0(X1)|$false),inference(rw,[status(thm)],[2406,44,theory(equality)])).
% cnf(2414,plain,(sz00=X1|sdtasdt0(sz10,X1)!=sz00|~aNaturalNumber0(X1)),inference(cn,[status(thm)],[2413,theory(equality)])).
% cnf(2457,plain,(sdtasdt0(sz00,sdtasdt0(X1,sz00))=sdtasdt0(X1,sz00)|~aNaturalNumber0(X1)|~aNaturalNumber0(sz00)),inference(spm,[status(thm)],[2123,50,theory(equality)])).
% cnf(2502,plain,(sdtasdt0(sz00,sdtasdt0(X1,sz00))=sdtasdt0(X1,sz00)|~aNaturalNumber0(X1)|$false),inference(rw,[status(thm)],[2457,42,theory(equality)])).
% cnf(2503,plain,(sdtasdt0(sz00,sdtasdt0(X1,sz00))=sdtasdt0(X1,sz00)|~aNaturalNumber0(X1)),inference(cn,[status(thm)],[2502,theory(equality)])).
% cnf(2712,negated_conjecture,(sdtlseqdt0(esk7_1(esk4_0),esk4_0)|sdtlseqdt0(esk4_0,esk7_1(esk4_0))),inference(spm,[status(thm)],[1034,211,theory(equality)])).
% cnf(2729,negated_conjecture,(esk7_1(esk4_0)=esk4_0|iLess0(esk7_1(esk4_0),esk4_0)|sdtlseqdt0(esk4_0,esk7_1(esk4_0))|~aNaturalNumber0(esk4_0)|~aNaturalNumber0(esk7_1(esk4_0))),inference(spm,[status(thm)],[127,2712,theory(equality)])).
% cnf(2734,negated_conjecture,(esk7_1(esk4_0)=esk4_0|iLess0(esk7_1(esk4_0),esk4_0)|sdtlseqdt0(esk4_0,esk7_1(esk4_0))|$false|~aNaturalNumber0(esk7_1(esk4_0))),inference(rw,[status(thm)],[2729,211,theory(equality)])).
% cnf(2735,negated_conjecture,(esk7_1(esk4_0)=esk4_0|iLess0(esk7_1(esk4_0),esk4_0)|sdtlseqdt0(esk4_0,esk7_1(esk4_0))|~aNaturalNumber0(esk7_1(esk4_0))),inference(cn,[status(thm)],[2734,theory(equality)])).
% cnf(2790,plain,(sdtasdt0(sz10,sz00)=sdtasdt0(sz00,sz00)|~aNaturalNumber0(sz00)|~aNaturalNumber0(sz10)),inference(spm,[status(thm)],[2362,2503,theory(equality)])).
% cnf(2829,plain,(sdtasdt0(sz10,sz00)=sz00|~aNaturalNumber0(sz00)|~aNaturalNumber0(sz10)),inference(rw,[status(thm)],[2790,1999,theory(equality)])).
% cnf(2830,plain,(sdtasdt0(sz10,sz00)=sz00|$false|~aNaturalNumber0(sz10)),inference(rw,[status(thm)],[2829,42,theory(equality)])).
% cnf(2831,plain,(sdtasdt0(sz10,sz00)=sz00|$false|$false),inference(rw,[status(thm)],[2830,44,theory(equality)])).
% cnf(2832,plain,(sdtasdt0(sz10,sz00)=sz00),inference(cn,[status(thm)],[2831,theory(equality)])).
% cnf(3017,plain,(doDivides0(X1,sdtasdt0(X1,X2))|~aNaturalNumber0(X2)|~aNaturalNumber0(X1)),inference(csr,[status(thm)],[392,47])).
% cnf(3023,plain,(doDivides0(sdtasdt0(X1,X2),sdtasdt0(X1,sdtasdt0(X2,X3)))|~aNaturalNumber0(X3)|~aNaturalNumber0(sdtasdt0(X1,X2))|~aNaturalNumber0(X2)|~aNaturalNumber0(X1)),inference(spm,[status(thm)],[3017,53,theory(equality)])).
% cnf(3036,plain,(doDivides0(X1,sdtasdt0(X2,X1))|~aNaturalNumber0(X2)|~aNaturalNumber0(X1)),inference(spm,[status(thm)],[3017,50,theory(equality)])).
% cnf(3607,plain,(aNaturalNumber0(X1)|sz00!=X1|~aNaturalNumber0(X2)),inference(csr,[status(thm)],[1366,167])).
% cnf(3624,negated_conjecture,(aNaturalNumber0(X1)|sz00!=X1|sz10!=X2),inference(spm,[status(thm)],[3607,1720,theory(equality)])).
% cnf(3652,negated_conjecture,(aNaturalNumber0(X1)|sz00!=X1),inference(er,[status(thm)],[3624,theory(equality)])).
% cnf(4060,negated_conjecture,(esk7_1(esk4_0)=esk4_0|iLess0(esk7_1(esk4_0),esk4_0)|~sdtlseqdt0(esk7_1(esk4_0),esk4_0)|~aNaturalNumber0(esk4_0)|~aNaturalNumber0(esk7_1(esk4_0))),inference(spm,[status(thm)],[170,2735,theory(equality)])).
% cnf(4066,negated_conjecture,(esk7_1(esk4_0)=esk4_0|iLess0(esk7_1(esk4_0),esk4_0)|~sdtlseqdt0(esk7_1(esk4_0),esk4_0)|$false|~aNaturalNumber0(esk7_1(esk4_0))),inference(rw,[status(thm)],[4060,211,theory(equality)])).
% cnf(4067,negated_conjecture,(esk7_1(esk4_0)=esk4_0|iLess0(esk7_1(esk4_0),esk4_0)|~sdtlseqdt0(esk7_1(esk4_0),esk4_0)|~aNaturalNumber0(esk7_1(esk4_0))),inference(cn,[status(thm)],[4066,theory(equality)])).
% cnf(4385,plain,(esk1_2(X1,X2)=sz00|sdtlseqdt0(X1,X2)|~doDivides0(X1,X2)|~aNaturalNumber0(X1)|~aNaturalNumber0(X2)),inference(csr,[status(thm)],[453,79])).
% cnf(4388,plain,(sdtasdt0(X1,sz00)=X2|sdtlseqdt0(X1,X2)|~doDivides0(X1,X2)|~aNaturalNumber0(X1)|~aNaturalNumber0(X2)),inference(spm,[status(thm)],[78,4385,theory(equality)])).
% cnf(4413,negated_conjecture,(esk7_1(esk4_0)=esk4_0|iLess0(esk7_1(esk4_0),esk4_0)|sz00=esk4_0|~aNaturalNumber0(esk7_1(esk4_0))|~doDivides0(esk7_1(esk4_0),esk4_0)|~aNaturalNumber0(esk4_0)),inference(spm,[status(thm)],[4067,110,theory(equality)])).
% cnf(4418,negated_conjecture,(esk7_1(esk4_0)=esk4_0|iLess0(esk7_1(esk4_0),esk4_0)|sz00=esk4_0|~aNaturalNumber0(esk7_1(esk4_0))|~doDivides0(esk7_1(esk4_0),esk4_0)|$false),inference(rw,[status(thm)],[4413,211,theory(equality)])).
% cnf(4419,negated_conjecture,(esk7_1(esk4_0)=esk4_0|iLess0(esk7_1(esk4_0),esk4_0)|sz00=esk4_0|~aNaturalNumber0(esk7_1(esk4_0))|~doDivides0(esk7_1(esk4_0),esk4_0)),inference(cn,[status(thm)],[4418,theory(equality)])).
% cnf(4420,negated_conjecture,(esk7_1(esk4_0)=esk4_0|iLess0(esk7_1(esk4_0),esk4_0)|~aNaturalNumber0(esk7_1(esk4_0))|~doDivides0(esk7_1(esk4_0),esk4_0)),inference(sr,[status(thm)],[4419,210,theory(equality)])).
% cnf(4444,negated_conjecture,(X2!=esk4_0|~isPrime0(X1)|~doDivides0(X1,X2)|~aNaturalNumber0(X1)|~aNaturalNumber0(X2)),inference(csr,[status(thm)],[455,79])).
% cnf(4479,negated_conjecture,(sz00=X1|sz10=X1|esk7_1(X1)!=sz10|X2!=esk4_0|~doDivides0(X1,X2)|~aNaturalNumber0(X1)|~aNaturalNumber0(X2)),inference(csr,[status(thm)],[457,79])).
% cnf(4510,negated_conjecture,(sz00=X1|sz10=X1|esk7_1(X1)!=X1|X2!=esk4_0|~doDivides0(X1,X2)|~aNaturalNumber0(X1)|~aNaturalNumber0(X2)),inference(csr,[status(thm)],[458,79])).
% cnf(4530,negated_conjecture,(sz00=X1|sz10=X1|aNaturalNumber0(esk7_1(X1))|X2!=esk4_0|~doDivides0(X1,X2)|~aNaturalNumber0(X1)|~aNaturalNumber0(X2)),inference(csr,[status(thm)],[459,79])).
% cnf(4557,negated_conjecture,(sz00=X1|sz10=X1|aNaturalNumber0(esk8_1(X1))|X2!=esk4_0|~doDivides0(X1,X2)|~aNaturalNumber0(X1)|~aNaturalNumber0(X2)),inference(csr,[status(thm)],[460,79])).
% cnf(4760,plain,(sdtasdt0(X1,sdtasdt0(X2,sz10))=sdtasdt0(X1,X2)|~aNaturalNumber0(X2)|~aNaturalNumber0(X1)),inference(csr,[status(thm)],[492,47])).
% cnf(4765,plain,(sz00=sdtasdt0(X1,sz10)|sdtasdt0(sz10,X1)!=sz00|~aNaturalNumber0(sdtasdt0(X1,sz10))|~aNaturalNumber0(X1)|~aNaturalNumber0(sz10)),inference(spm,[status(thm)],[2414,4760,theory(equality)])).
% cnf(4826,plain,(sz00=sdtasdt0(X1,sz10)|sdtasdt0(sz10,X1)!=sz00|~aNaturalNumber0(sdtasdt0(X1,sz10))|~aNaturalNumber0(X1)|$false),inference(rw,[status(thm)],[4765,44,theory(equality)])).
% cnf(4827,plain,(sz00=sdtasdt0(X1,sz10)|sdtasdt0(sz10,X1)!=sz00|~aNaturalNumber0(sdtasdt0(X1,sz10))|~aNaturalNumber0(X1)),inference(cn,[status(thm)],[4826,theory(equality)])).
% cnf(4873,plain,(sdtasdt0(X1,sz10)=sz00|sdtasdt0(sz10,X1)!=sz00|~aNaturalNumber0(X1)|~aNaturalNumber0(sz10)),inference(spm,[status(thm)],[4827,47,theory(equality)])).
% cnf(4888,plain,(sdtasdt0(X1,sz10)=sz00|sdtasdt0(sz10,X1)!=sz00|~aNaturalNumber0(X1)|$false),inference(rw,[status(thm)],[4873,44,theory(equality)])).
% cnf(4889,plain,(sdtasdt0(X1,sz10)=sz00|sdtasdt0(sz10,X1)!=sz00|~aNaturalNumber0(X1)),inference(cn,[status(thm)],[4888,theory(equality)])).
% cnf(4903,plain,(sdtasdt0(X1,sdtasdt0(X2,sz00))=sz00|~aNaturalNumber0(X2)|~aNaturalNumber0(X1)),inference(csr,[status(thm)],[494,47])).
% cnf(4967,plain,(sdtasdt0(X1,sdtasdt0(sz00,X2))=sz00|~aNaturalNumber0(X2)|~aNaturalNumber0(X1)|~aNaturalNumber0(sz00)),inference(spm,[status(thm)],[4903,50,theory(equality)])).
% cnf(5029,plain,(sdtasdt0(X1,sdtasdt0(sz00,X2))=sz00|~aNaturalNumber0(X2)|~aNaturalNumber0(X1)|$false),inference(rw,[status(thm)],[4967,42,theory(equality)])).
% cnf(5030,plain,(sdtasdt0(X1,sdtasdt0(sz00,X2))=sz00|~aNaturalNumber0(X2)|~aNaturalNumber0(X1)),inference(cn,[status(thm)],[5029,theory(equality)])).
% cnf(5035,plain,(sdtasdt0(X1,sdtasdt0(X2,X3))=sdtasdt0(X2,sdtasdt0(X3,X1))|~aNaturalNumber0(X1)|~aNaturalNumber0(X3)|~aNaturalNumber0(X2)),inference(csr,[status(thm)],[470,47])).
% cnf(5193,plain,(sdtasdt0(X1,sz00)=sdtasdt0(sz10,sdtasdt0(sz00,X1))|~aNaturalNumber0(X1)|~aNaturalNumber0(sz00)|~aNaturalNumber0(sz10)),inference(spm,[status(thm)],[5035,2832,theory(equality)])).
% cnf(5337,plain,(sdtasdt0(X1,sz00)=sdtasdt0(sz10,sdtasdt0(sz00,X1))|~aNaturalNumber0(X1)|$false|~aNaturalNumber0(sz10)),inference(rw,[status(thm)],[5193,42,theory(equality)])).
% cnf(5338,plain,(sdtasdt0(X1,sz00)=sdtasdt0(sz10,sdtasdt0(sz00,X1))|~aNaturalNumber0(X1)|$false|$false),inference(rw,[status(thm)],[5337,44,theory(equality)])).
% cnf(5339,plain,(sdtasdt0(X1,sz00)=sdtasdt0(sz10,sdtasdt0(sz00,X1))|~aNaturalNumber0(X1)),inference(cn,[status(thm)],[5338,theory(equality)])).
% cnf(5376,plain,(sdtasdt0(X1,sz10)=sz00|X1!=sz00|~aNaturalNumber0(X1)),inference(spm,[status(thm)],[4889,57,theory(equality)])).
% cnf(5403,plain,(sdtasdt0(X1,sz10)=sz00|X1!=sz00),inference(csr,[status(thm)],[5376,3652])).
% cnf(5451,plain,(doDivides0(X1,X2)|sz00!=X2|~aNaturalNumber0(sz10)|~aNaturalNumber0(X1)|~aNaturalNumber0(X2)|X1!=sz00),inference(spm,[status(thm)],[80,5403,theory(equality)])).
% cnf(5572,plain,(doDivides0(X1,X2)|sz00!=X2|$false|~aNaturalNumber0(X1)|~aNaturalNumber0(X2)|X1!=sz00),inference(rw,[status(thm)],[5451,44,theory(equality)])).
% cnf(5573,plain,(doDivides0(X1,X2)|sz00!=X2|~aNaturalNumber0(X1)|~aNaturalNumber0(X2)|X1!=sz00),inference(cn,[status(thm)],[5572,theory(equality)])).
% cnf(7536,plain,(doDivides0(sdtasdt0(X1,X2),X3)|sdtasdt0(X1,sdtasdt0(X2,X4))!=X3|~aNaturalNumber0(X3)|~aNaturalNumber0(X2)|~aNaturalNumber0(X1)|~aNaturalNumber0(X4)),inference(csr,[status(thm)],[481,47])).
% cnf(7974,plain,(sdtasdt0(X1,sz10)=sdtasdt0(sz10,X1)|~aNaturalNumber0(X1)|~aNaturalNumber0(sz10)),inference(spm,[status(thm)],[4760,496,theory(equality)])).
% cnf(8124,plain,(sdtasdt0(X1,sz10)=sdtasdt0(sz10,X1)|~aNaturalNumber0(X1)|$false),inference(rw,[status(thm)],[7974,44,theory(equality)])).
% cnf(8125,plain,(sdtasdt0(X1,sz10)=sdtasdt0(sz10,X1)|~aNaturalNumber0(X1)),inference(cn,[status(thm)],[8124,theory(equality)])).
% cnf(9811,negated_conjecture,(sz00=X1|sz10=X1|doDivides0(esk7_1(X1),X1)|X2!=esk4_0|~doDivides0(X1,X2)|~aNaturalNumber0(X1)|~aNaturalNumber0(X2)),inference(csr,[status(thm)],[506,79])).
% cnf(12012,plain,(sdtasdt0(sz10,sz10)=sz10|~aNaturalNumber0(sz10)),inference(spm,[status(thm)],[58,8125,theory(equality)])).
% cnf(12185,plain,(sdtasdt0(sz10,sz10)=sz10|$false),inference(rw,[status(thm)],[12012,44,theory(equality)])).
% cnf(12186,plain,(sdtasdt0(sz10,sz10)=sz10),inference(cn,[status(thm)],[12185,theory(equality)])).
% cnf(12560,plain,(doDivides0(sz10,sz10)|~aNaturalNumber0(sz10)),inference(spm,[status(thm)],[3036,12186,theory(equality)])).
% cnf(12634,plain,(doDivides0(sz10,sz10)|$false),inference(rw,[status(thm)],[12560,44,theory(equality)])).
% cnf(12635,plain,(doDivides0(sz10,sz10)),inference(cn,[status(thm)],[12634,theory(equality)])).
% cnf(15478,negated_conjecture,(sdtasdt0(esk7_1(X1),esk8_1(X1))=X1|sz00=X1|sz10=X1|X2!=esk4_0|~doDivides0(X1,X2)|~aNaturalNumber0(X1)|~aNaturalNumber0(X2)),inference(csr,[status(thm)],[601,79])).
% cnf(16198,plain,(doDivides0(X1,X2)|sz00!=X2|~aNaturalNumber0(X1)|~aNaturalNumber0(X2)),inference(csr,[status(thm)],[5573,412])).
% cnf(16199,plain,(doDivides0(X1,X2)|sz00!=X2|~aNaturalNumber0(X1)),inference(csr,[status(thm)],[16198,3652])).
% cnf(19150,plain,(sdtasdt0(X1,X2)=sz00|sdtasdt0(X1,sdtpldt0(X2,X3))!=sz00|~aNaturalNumber0(sdtasdt0(X1,X2))|~aNaturalNumber0(X1)|~aNaturalNumber0(X2)|~aNaturalNumber0(X3)),inference(csr,[status(thm)],[693,47])).
% cnf(19151,plain,(sdtasdt0(X1,X2)=sz00|sdtasdt0(X1,sdtpldt0(X2,X3))!=sz00|~aNaturalNumber0(X1)|~aNaturalNumber0(X2)|~aNaturalNumber0(X3)),inference(csr,[status(thm)],[19150,47])).
% cnf(19356,plain,(aNaturalNumber0(sdtasdt0(X1,sdtpldt0(X2,X3)))|~aNaturalNumber0(sdtasdt0(X1,X3))|~aNaturalNumber0(X1)|~aNaturalNumber0(X2)|~aNaturalNumber0(X3)),inference(csr,[status(thm)],[695,47])).
% cnf(19357,plain,(aNaturalNumber0(sdtasdt0(X1,sdtpldt0(X2,X3)))|~aNaturalNumber0(X1)|~aNaturalNumber0(X2)|~aNaturalNumber0(X3)),inference(csr,[status(thm)],[19356,47])).
% cnf(21515,plain,(sdtpldt0(sdtasdt0(sz00,sz00),sz00)=sdtasdt0(sz00,X1)|~aNaturalNumber0(sz00)|~aNaturalNumber0(X1)),inference(spm,[status(thm)],[726,136,theory(equality)])).
% cnf(21760,plain,(sdtpldt0(sz00,sz00)=sdtasdt0(sz00,X1)|~aNaturalNumber0(sz00)|~aNaturalNumber0(X1)),inference(rw,[status(thm)],[21515,1999,theory(equality)])).
% cnf(21761,plain,(sdtpldt0(sz00,sz00)=sdtasdt0(sz00,X1)|$false|~aNaturalNumber0(X1)),inference(rw,[status(thm)],[21760,42,theory(equality)])).
% cnf(21762,plain,(sdtpldt0(sz00,sz00)=sdtasdt0(sz00,X1)|~aNaturalNumber0(X1)),inference(cn,[status(thm)],[21761,theory(equality)])).
% cnf(22800,plain,(sdtpldt0(sz00,sz00)=sz00|~aNaturalNumber0(X1)),inference(spm,[status(thm)],[62,21762,theory(equality)])).
% cnf(23206,plain,(sdtpldt0(sz10,sz00)=sdtasdt0(sz10,sdtpldt0(sz10,sz00))|~aNaturalNumber0(sz10)),inference(spm,[status(thm)],[730,12186,theory(equality)])).
% cnf(23336,plain,(sdtpldt0(sz10,sz00)=sdtasdt0(sz10,sdtpldt0(sz10,sz00))|$false),inference(rw,[status(thm)],[23206,44,theory(equality)])).
% cnf(23337,plain,(sdtpldt0(sz10,sz00)=sdtasdt0(sz10,sdtpldt0(sz10,sz00))),inference(cn,[status(thm)],[23336,theory(equality)])).
% cnf(23785,negated_conjecture,(sdtpldt0(sz00,sz00)=sz00),inference(spm,[status(thm)],[22800,211,theory(equality)])).
% cnf(27667,plain,(sdtpldt0(sz00,sz00)=sdtasdt0(sz00,sdtpldt0(sz10,sz00))|~aNaturalNumber0(sz00)),inference(spm,[status(thm)],[736,1999,theory(equality)])).
% cnf(27776,plain,(sz00=sdtasdt0(sz00,sdtpldt0(sz10,sz00))|~aNaturalNumber0(sz00)),inference(rw,[status(thm)],[27667,23785,theory(equality)])).
% cnf(27777,plain,(sz00=sdtasdt0(sz00,sdtpldt0(sz10,sz00))|$false),inference(rw,[status(thm)],[27776,42,theory(equality)])).
% cnf(27778,plain,(sz00=sdtasdt0(sz00,sdtpldt0(sz10,sz00))),inference(cn,[status(thm)],[27777,theory(equality)])).
% cnf(32012,plain,(sdtasdt0(sz10,sz10)=sz00|sdtpldt0(sz10,sz00)!=sz00|~aNaturalNumber0(sz10)|~aNaturalNumber0(sz00)),inference(spm,[status(thm)],[19151,23337,theory(equality)])).
% cnf(32013,plain,(aNaturalNumber0(sdtpldt0(sz10,sz00))|~aNaturalNumber0(sz10)|~aNaturalNumber0(sz00)),inference(spm,[status(thm)],[19357,23337,theory(equality)])).
% cnf(32218,plain,(sz10=sz00|sdtpldt0(sz10,sz00)!=sz00|~aNaturalNumber0(sz10)|~aNaturalNumber0(sz00)),inference(rw,[status(thm)],[32012,12186,theory(equality)])).
% cnf(32219,plain,(sz10=sz00|sdtpldt0(sz10,sz00)!=sz00|$false|~aNaturalNumber0(sz00)),inference(rw,[status(thm)],[32218,44,theory(equality)])).
% cnf(32220,plain,(sz10=sz00|sdtpldt0(sz10,sz00)!=sz00|$false|$false),inference(rw,[status(thm)],[32219,42,theory(equality)])).
% cnf(32221,plain,(sz10=sz00|sdtpldt0(sz10,sz00)!=sz00),inference(cn,[status(thm)],[32220,theory(equality)])).
% cnf(32222,plain,(sdtpldt0(sz10,sz00)!=sz00),inference(sr,[status(thm)],[32221,43,theory(equality)])).
% cnf(32223,plain,(aNaturalNumber0(sdtpldt0(sz10,sz00))|$false|~aNaturalNumber0(sz00)),inference(rw,[status(thm)],[32013,44,theory(equality)])).
% cnf(32224,plain,(aNaturalNumber0(sdtpldt0(sz10,sz00))|$false|$false),inference(rw,[status(thm)],[32223,42,theory(equality)])).
% cnf(32225,plain,(aNaturalNumber0(sdtpldt0(sz10,sz00))),inference(cn,[status(thm)],[32224,theory(equality)])).
% cnf(33234,plain,(sdtasdt0(sz10,sz00)=sdtasdt0(sdtpldt0(sz10,sz00),sz00)|~aNaturalNumber0(sdtpldt0(sz10,sz00))),inference(spm,[status(thm)],[5339,27778,theory(equality)])).
% cnf(33597,plain,(sz00=sdtasdt0(sdtpldt0(sz10,sz00),sz00)|~aNaturalNumber0(sdtpldt0(sz10,sz00))),inference(rw,[status(thm)],[33234,2832,theory(equality)])).
% cnf(33598,plain,(sz00=sdtasdt0(sdtpldt0(sz10,sz00),sz00)|$false),inference(rw,[status(thm)],[33597,32225,theory(equality)])).
% cnf(33599,plain,(sz00=sdtasdt0(sdtpldt0(sz10,sz00),sz00)),inference(cn,[status(thm)],[33598,theory(equality)])).
% cnf(34234,plain,(doDivides0(sdtpldt0(sz10,sz00),sz00)|~aNaturalNumber0(sz00)|~aNaturalNumber0(sdtpldt0(sz10,sz00))),inference(spm,[status(thm)],[3017,33599,theory(equality)])).
% cnf(34390,plain,(doDivides0(sdtpldt0(sz10,sz00),sz00)|$false|~aNaturalNumber0(sdtpldt0(sz10,sz00))),inference(rw,[status(thm)],[34234,42,theory(equality)])).
% cnf(34391,plain,(doDivides0(sdtpldt0(sz10,sz00),sz00)|$false|$false),inference(rw,[status(thm)],[34390,32225,theory(equality)])).
% cnf(34392,plain,(doDivides0(sdtpldt0(sz10,sz00),sz00)),inference(cn,[status(thm)],[34391,theory(equality)])).
% cnf(56701,plain,(sdtasdt0(X1,sz10)=sdtsldt0(X1,sz10)|sz00=sz10|~doDivides0(sz10,sz10)|~aNaturalNumber0(X1)|~aNaturalNumber0(sz10)),inference(spm,[status(thm)],[872,803,theory(equality)])).
% cnf(56831,plain,(sdtasdt0(X1,sz10)=sdtsldt0(X1,sz10)|sz00=sz10|$false|~aNaturalNumber0(X1)|~aNaturalNumber0(sz10)),inference(rw,[status(thm)],[56701,12635,theory(equality)])).
% cnf(56832,plain,(sdtasdt0(X1,sz10)=sdtsldt0(X1,sz10)|sz00=sz10|$false|~aNaturalNumber0(X1)|$false),inference(rw,[status(thm)],[56831,44,theory(equality)])).
% cnf(56833,plain,(sdtasdt0(X1,sz10)=sdtsldt0(X1,sz10)|sz00=sz10|~aNaturalNumber0(X1)),inference(cn,[status(thm)],[56832,theory(equality)])).
% cnf(56834,plain,(sdtsldt0(X1,sz10)=sdtasdt0(X1,sz10)|~aNaturalNumber0(X1)),inference(sr,[status(thm)],[56833,43,theory(equality)])).
% cnf(56865,plain,(sdtasdt0(sz10,sdtasdt0(X1,sz10))=X1|sz00=sz10|~doDivides0(sz10,X1)|~aNaturalNumber0(sz10)|~aNaturalNumber0(X1)),inference(spm,[status(thm)],[690,56834,theory(equality)])).
% cnf(56921,plain,(sdtasdt0(sz10,sdtasdt0(X1,sz10))=X1|sz00=sz10|~doDivides0(sz10,X1)|$false|~aNaturalNumber0(X1)),inference(rw,[status(thm)],[56865,44,theory(equality)])).
% cnf(56922,plain,(sdtasdt0(sz10,sdtasdt0(X1,sz10))=X1|sz00=sz10|~doDivides0(sz10,X1)|~aNaturalNumber0(X1)),inference(cn,[status(thm)],[56921,theory(equality)])).
% cnf(56923,plain,(sdtasdt0(sz10,sdtasdt0(X1,sz10))=X1|~doDivides0(sz10,X1)|~aNaturalNumber0(X1)),inference(sr,[status(thm)],[56922,43,theory(equality)])).
% cnf(68653,plain,(sdtasdt0(sz10,sdtasdt0(X1,sz10))=X1|~aNaturalNumber0(X1)),inference(csr,[status(thm)],[56923,405])).
% cnf(68803,plain,(doDivides0(sdtasdt0(sz10,X1),X2)|X1!=X2|~aNaturalNumber0(sz10)|~aNaturalNumber0(X2)|~aNaturalNumber0(X1)),inference(spm,[status(thm)],[7536,68653,theory(equality)])).
% cnf(69210,plain,(doDivides0(sdtasdt0(sz10,X1),X2)|X1!=X2|$false|~aNaturalNumber0(X2)|~aNaturalNumber0(X1)),inference(rw,[status(thm)],[68803,44,theory(equality)])).
% cnf(69211,plain,(doDivides0(sdtasdt0(sz10,X1),X2)|X1!=X2|~aNaturalNumber0(X2)|~aNaturalNumber0(X1)),inference(cn,[status(thm)],[69210,theory(equality)])).
% cnf(69212,plain,(doDivides0(sdtasdt0(sz10,X1),X1)|~aNaturalNumber0(X1)),inference(er,[status(thm)],[69211,theory(equality)])).
% cnf(69411,plain,(doDivides0(sdtpldt0(sz10,sz00),sdtpldt0(sz10,sz00))|~aNaturalNumber0(sdtpldt0(sz10,sz00))),inference(spm,[status(thm)],[69212,23337,theory(equality)])).
% cnf(69508,plain,(doDivides0(sdtpldt0(sz10,sz00),sdtpldt0(sz10,sz00))|$false),inference(rw,[status(thm)],[69411,32225,theory(equality)])).
% cnf(69509,plain,(doDivides0(sdtpldt0(sz10,sz00),sdtpldt0(sz10,sz00))),inference(cn,[status(thm)],[69508,theory(equality)])).
% cnf(71755,plain,(doDivides0(sdtpldt0(sz10,sz00),sz10)|~doDivides0(sdtpldt0(sz10,sz00),sz00)|~aNaturalNumber0(sz00)|~aNaturalNumber0(sz10)|~aNaturalNumber0(sdtpldt0(sz10,sz00))),inference(spm,[status(thm)],[636,69509,theory(equality)])).
% cnf(71793,plain,(doDivides0(sdtpldt0(sz10,sz00),sz10)|$false|~aNaturalNumber0(sz00)|~aNaturalNumber0(sz10)|~aNaturalNumber0(sdtpldt0(sz10,sz00))),inference(rw,[status(thm)],[71755,34392,theory(equality)])).
% cnf(71794,plain,(doDivides0(sdtpldt0(sz10,sz00),sz10)|$false|$false|~aNaturalNumber0(sz10)|~aNaturalNumber0(sdtpldt0(sz10,sz00))),inference(rw,[status(thm)],[71793,42,theory(equality)])).
% cnf(71795,plain,(doDivides0(sdtpldt0(sz10,sz00),sz10)|$false|$false|$false|~aNaturalNumber0(sdtpldt0(sz10,sz00))),inference(rw,[status(thm)],[71794,44,theory(equality)])).
% cnf(71796,plain,(doDivides0(sdtpldt0(sz10,sz00),sz10)|$false|$false|$false|$false),inference(rw,[status(thm)],[71795,32225,theory(equality)])).
% cnf(71797,plain,(doDivides0(sdtpldt0(sz10,sz00),sz10)),inference(cn,[status(thm)],[71796,theory(equality)])).
% cnf(71836,plain,(sdtpldt0(sz10,sz00)=sz10|sz00=sdtpldt0(sz10,sz00)|~aNaturalNumber0(sdtpldt0(sz10,sz00))),inference(spm,[status(thm)],[1763,71797,theory(equality)])).
% cnf(71886,plain,(sdtpldt0(sz10,sz00)=sz10|sz00=sdtpldt0(sz10,sz00)|$false),inference(rw,[status(thm)],[71836,32225,theory(equality)])).
% cnf(71887,plain,(sdtpldt0(sz10,sz00)=sz10|sz00=sdtpldt0(sz10,sz00)),inference(cn,[status(thm)],[71886,theory(equality)])).
% cnf(71888,plain,(sdtpldt0(sz10,sz00)=sz10),inference(sr,[status(thm)],[71887,32222,theory(equality)])).
% cnf(71898,plain,(sdtpldt0(sz00,sz10)=sz10|~aNaturalNumber0(sz10)|~aNaturalNumber0(sz00)),inference(spm,[status(thm)],[156,71888,theory(equality)])).
% cnf(71977,plain,(sdtpldt0(sz00,sz10)=sz10|$false|~aNaturalNumber0(sz00)),inference(rw,[status(thm)],[71898,44,theory(equality)])).
% cnf(71978,plain,(sdtpldt0(sz00,sz10)=sz10|$false|$false),inference(rw,[status(thm)],[71977,42,theory(equality)])).
% cnf(71979,plain,(sdtpldt0(sz00,sz10)=sz10),inference(cn,[status(thm)],[71978,theory(equality)])).
% cnf(84005,plain,(doDivides0(sdtpldt0(X1,X2),X2)|~doDivides0(sdtpldt0(X1,X2),X1)|~aNaturalNumber0(X1)|~aNaturalNumber0(X2)),inference(csr,[status(thm)],[1010,153])).
% cnf(95468,plain,(sdtasdt0(X1,X2)=X1|sz00=X1|sz10!=X2|~aNaturalNumber0(X1)),inference(csr,[status(thm)],[1598,410])).
% cnf(118556,plain,(sdtasdt0(sz00,esk1_2(X1,X2))=sdtasdt0(sz00,X2)|~doDivides0(X1,X2)|~aNaturalNumber0(X1)|~aNaturalNumber0(X2)),inference(csr,[status(thm)],[1913,79])).
% cnf(118694,plain,(sdtasdt0(sz00,X1)=X1|~doDivides0(sz00,X1)|~aNaturalNumber0(sz00)|~aNaturalNumber0(X1)),inference(spm,[status(thm)],[78,118556,theory(equality)])).
% cnf(119027,plain,(sdtasdt0(sz00,X1)=X1|~doDivides0(sz00,X1)|$false|~aNaturalNumber0(X1)),inference(rw,[status(thm)],[118694,42,theory(equality)])).
% cnf(119028,plain,(sdtasdt0(sz00,X1)=X1|~doDivides0(sz00,X1)|~aNaturalNumber0(X1)),inference(cn,[status(thm)],[119027,theory(equality)])).
% cnf(119059,plain,(sdtasdt0(sz00,X1)=X1|~aNaturalNumber0(X1)|sz00!=X1|~aNaturalNumber0(sz00)),inference(spm,[status(thm)],[119028,16199,theory(equality)])).
% cnf(119118,plain,(sdtasdt0(sz00,X1)=X1|~aNaturalNumber0(X1)|sz00!=X1|$false),inference(rw,[status(thm)],[119059,42,theory(equality)])).
% cnf(119119,plain,(sdtasdt0(sz00,X1)=X1|~aNaturalNumber0(X1)|sz00!=X1),inference(cn,[status(thm)],[119118,theory(equality)])).
% cnf(120130,plain,(sdtasdt0(sz00,X1)=X1|sz00!=X1),inference(csr,[status(thm)],[119119,3652])).
% cnf(120497,plain,(sdtasdt0(X1,X2)=sz00|~aNaturalNumber0(X2)|~aNaturalNumber0(X1)|sz00!=X2),inference(spm,[status(thm)],[5030,120130,theory(equality)])).
% cnf(136202,plain,(sdtasdt0(X1,X2)=sz00|sz00!=X2|~aNaturalNumber0(X1)),inference(csr,[status(thm)],[120497,3652])).
% cnf(136603,plain,(sdtasdt0(X1,X2)=sz00|~aNaturalNumber0(X2)|~aNaturalNumber0(X1)|sz00!=X1),inference(spm,[status(thm)],[50,136202,theory(equality)])).
% cnf(140592,plain,(sdtasdt0(X1,X2)=sz00|sz00!=X1|~aNaturalNumber0(X2)),inference(csr,[status(thm)],[136603,3652])).
% cnf(156731,plain,(doDivides0(sdtasdt0(X1,X2),sdtasdt0(X1,sdtasdt0(X2,X3)))|~aNaturalNumber0(X2)|~aNaturalNumber0(X1)|~aNaturalNumber0(X3)),inference(csr,[status(thm)],[3023,47])).
% cnf(156805,plain,(doDivides0(sdtasdt0(X1,sz10),sdtasdt0(X1,sz00))|~aNaturalNumber0(sz00)|~aNaturalNumber0(sz10)|~aNaturalNumber0(X1)),inference(spm,[status(thm)],[156731,2832,theory(equality)])).
% cnf(157176,plain,(doDivides0(sdtasdt0(X1,sz10),sdtasdt0(X1,sz00))|$false|~aNaturalNumber0(sz10)|~aNaturalNumber0(X1)),inference(rw,[status(thm)],[156805,42,theory(equality)])).
% cnf(157177,plain,(doDivides0(sdtasdt0(X1,sz10),sdtasdt0(X1,sz00))|$false|$false|~aNaturalNumber0(X1)),inference(rw,[status(thm)],[157176,44,theory(equality)])).
% cnf(157178,plain,(doDivides0(sdtasdt0(X1,sz10),sdtasdt0(X1,sz00))|~aNaturalNumber0(X1)),inference(cn,[status(thm)],[157177,theory(equality)])).
% cnf(211598,negated_conjecture,(sdtasdt0(esk4_0,sz00)=sz00|~doDivides0(esk4_0,sz00)|~aNaturalNumber0(esk4_0)|~aNaturalNumber0(sz00)),inference(spm,[status(thm)],[1528,4388,theory(equality)])).
% cnf(211684,negated_conjecture,(sdtasdt0(esk4_0,sz00)=sz00|~doDivides0(esk4_0,sz00)|$false|~aNaturalNumber0(sz00)),inference(rw,[status(thm)],[211598,211,theory(equality)])).
% cnf(211685,negated_conjecture,(sdtasdt0(esk4_0,sz00)=sz00|~doDivides0(esk4_0,sz00)|$false|$false),inference(rw,[status(thm)],[211684,42,theory(equality)])).
% cnf(211686,negated_conjecture,(sdtasdt0(esk4_0,sz00)=sz00|~doDivides0(esk4_0,sz00)),inference(cn,[status(thm)],[211685,theory(equality)])).
% cnf(211758,negated_conjecture,(sdtasdt0(esk4_0,sz00)=sz00|~aNaturalNumber0(esk4_0)),inference(spm,[status(thm)],[211686,16199,theory(equality)])).
% cnf(211768,negated_conjecture,(sdtasdt0(esk4_0,sz00)=sz00|$false),inference(rw,[status(thm)],[211758,211,theory(equality)])).
% cnf(211769,negated_conjecture,(sdtasdt0(esk4_0,sz00)=sz00),inference(cn,[status(thm)],[211768,theory(equality)])).
% cnf(211825,negated_conjecture,(sdtpldt0(sz00,esk4_0)=sdtasdt0(esk4_0,sdtpldt0(sz00,sz10))|~aNaturalNumber0(esk4_0)|~aNaturalNumber0(sz00)),inference(spm,[status(thm)],[728,211769,theory(equality)])).
% cnf(211974,negated_conjecture,(doDivides0(sdtasdt0(esk4_0,sz10),sz00)|~aNaturalNumber0(esk4_0)),inference(spm,[status(thm)],[157178,211769,theory(equality)])).
% cnf(212121,negated_conjecture,(sdtpldt0(sz00,esk4_0)=sdtasdt0(esk4_0,sz10)|~aNaturalNumber0(esk4_0)|~aNaturalNumber0(sz00)),inference(rw,[status(thm)],[211825,71979,theory(equality)])).
% cnf(212122,negated_conjecture,(sdtpldt0(sz00,esk4_0)=sdtasdt0(esk4_0,sz10)|$false|~aNaturalNumber0(sz00)),inference(rw,[status(thm)],[212121,211,theory(equality)])).
% cnf(212123,negated_conjecture,(sdtpldt0(sz00,esk4_0)=sdtasdt0(esk4_0,sz10)|$false|$false),inference(rw,[status(thm)],[212122,42,theory(equality)])).
% cnf(212124,negated_conjecture,(sdtpldt0(sz00,esk4_0)=sdtasdt0(esk4_0,sz10)),inference(cn,[status(thm)],[212123,theory(equality)])).
% cnf(212581,negated_conjecture,(doDivides0(sdtasdt0(esk4_0,sz10),sz00)|$false),inference(rw,[status(thm)],[211974,211,theory(equality)])).
% cnf(212582,negated_conjecture,(doDivides0(sdtasdt0(esk4_0,sz10),sz00)),inference(cn,[status(thm)],[212581,theory(equality)])).
% cnf(217595,negated_conjecture,(doDivides0(sdtasdt0(esk4_0,sz10),esk4_0)|~doDivides0(sdtasdt0(esk4_0,sz10),sz00)|~aNaturalNumber0(sz00)|~aNaturalNumber0(esk4_0)),inference(spm,[status(thm)],[84005,212124,theory(equality)])).
% cnf(217748,negated_conjecture,(doDivides0(sdtasdt0(esk4_0,sz10),esk4_0)|$false|~aNaturalNumber0(sz00)|~aNaturalNumber0(esk4_0)),inference(rw,[status(thm)],[217595,212582,theory(equality)])).
% cnf(217749,negated_conjecture,(doDivides0(sdtasdt0(esk4_0,sz10),esk4_0)|$false|$false|~aNaturalNumber0(esk4_0)),inference(rw,[status(thm)],[217748,42,theory(equality)])).
% cnf(217750,negated_conjecture,(doDivides0(sdtasdt0(esk4_0,sz10),esk4_0)|$false|$false|$false),inference(rw,[status(thm)],[217749,211,theory(equality)])).
% cnf(217751,negated_conjecture,(doDivides0(sdtasdt0(esk4_0,sz10),esk4_0)),inference(cn,[status(thm)],[217750,theory(equality)])).
% cnf(218238,negated_conjecture,(doDivides0(esk4_0,esk4_0)|sz00=esk4_0|~aNaturalNumber0(esk4_0)),inference(spm,[status(thm)],[217751,95468,theory(equality)])).
% cnf(218385,negated_conjecture,(doDivides0(esk4_0,esk4_0)|sz00=esk4_0|$false),inference(rw,[status(thm)],[218238,211,theory(equality)])).
% cnf(218386,negated_conjecture,(doDivides0(esk4_0,esk4_0)|sz00=esk4_0),inference(cn,[status(thm)],[218385,theory(equality)])).
% cnf(218387,negated_conjecture,(doDivides0(esk4_0,esk4_0)),inference(sr,[status(thm)],[218386,210,theory(equality)])).
% cnf(218412,negated_conjecture,(sz10=esk4_0|sz00=esk4_0|esk7_1(esk4_0)!=sz10|~aNaturalNumber0(esk4_0)),inference(spm,[status(thm)],[4479,218387,theory(equality)])).
% cnf(218413,negated_conjecture,(sz10=esk4_0|sz00=esk4_0|esk7_1(esk4_0)!=esk4_0|~aNaturalNumber0(esk4_0)),inference(spm,[status(thm)],[4510,218387,theory(equality)])).
% cnf(218414,negated_conjecture,(sz10=esk4_0|sz00=esk4_0|aNaturalNumber0(esk7_1(esk4_0))|~aNaturalNumber0(esk4_0)),inference(spm,[status(thm)],[4530,218387,theory(equality)])).
% cnf(218415,negated_conjecture,(sz10=esk4_0|sz00=esk4_0|aNaturalNumber0(esk8_1(esk4_0))|~aNaturalNumber0(esk4_0)),inference(spm,[status(thm)],[4557,218387,theory(equality)])).
% cnf(218416,negated_conjecture,(sz10=esk4_0|sz00=esk4_0|doDivides0(esk7_1(esk4_0),esk4_0)|~aNaturalNumber0(esk4_0)),inference(spm,[status(thm)],[9811,218387,theory(equality)])).
% cnf(218417,negated_conjecture,(sdtasdt0(esk7_1(esk4_0),esk8_1(esk4_0))=esk4_0|sz10=esk4_0|sz00=esk4_0|~aNaturalNumber0(esk4_0)),inference(spm,[status(thm)],[15478,218387,theory(equality)])).
% cnf(218481,negated_conjecture,(sz10=esk4_0|sz00=esk4_0|esk7_1(esk4_0)!=sz10|$false),inference(rw,[status(thm)],[218412,211,theory(equality)])).
% cnf(218482,negated_conjecture,(sz10=esk4_0|sz00=esk4_0|esk7_1(esk4_0)!=sz10),inference(cn,[status(thm)],[218481,theory(equality)])).
% cnf(218483,negated_conjecture,(esk4_0=sz00|esk7_1(esk4_0)!=sz10),inference(sr,[status(thm)],[218482,209,theory(equality)])).
% cnf(218484,negated_conjecture,(esk7_1(esk4_0)!=sz10),inference(sr,[status(thm)],[218483,210,theory(equality)])).
% cnf(218485,negated_conjecture,(sz10=esk4_0|sz00=esk4_0|esk7_1(esk4_0)!=esk4_0|$false),inference(rw,[status(thm)],[218413,211,theory(equality)])).
% cnf(218486,negated_conjecture,(sz10=esk4_0|sz00=esk4_0|esk7_1(esk4_0)!=esk4_0),inference(cn,[status(thm)],[218485,theory(equality)])).
% cnf(218487,negated_conjecture,(esk4_0=sz00|esk7_1(esk4_0)!=esk4_0),inference(sr,[status(thm)],[218486,209,theory(equality)])).
% cnf(218488,negated_conjecture,(esk7_1(esk4_0)!=esk4_0),inference(sr,[status(thm)],[218487,210,theory(equality)])).
% cnf(218489,negated_conjecture,(sz10=esk4_0|sz00=esk4_0|aNaturalNumber0(esk7_1(esk4_0))|$false),inference(rw,[status(thm)],[218414,211,theory(equality)])).
% cnf(218490,negated_conjecture,(sz10=esk4_0|sz00=esk4_0|aNaturalNumber0(esk7_1(esk4_0))),inference(cn,[status(thm)],[218489,theory(equality)])).
% cnf(218491,negated_conjecture,(esk4_0=sz00|aNaturalNumber0(esk7_1(esk4_0))),inference(sr,[status(thm)],[218490,209,theory(equality)])).
% cnf(218492,negated_conjecture,(aNaturalNumber0(esk7_1(esk4_0))),inference(sr,[status(thm)],[218491,210,theory(equality)])).
% cnf(218493,negated_conjecture,(sz10=esk4_0|sz00=esk4_0|aNaturalNumber0(esk8_1(esk4_0))|$false),inference(rw,[status(thm)],[218415,211,theory(equality)])).
% cnf(218494,negated_conjecture,(sz10=esk4_0|sz00=esk4_0|aNaturalNumber0(esk8_1(esk4_0))),inference(cn,[status(thm)],[218493,theory(equality)])).
% cnf(218495,negated_conjecture,(esk4_0=sz00|aNaturalNumber0(esk8_1(esk4_0))),inference(sr,[status(thm)],[218494,209,theory(equality)])).
% cnf(218496,negated_conjecture,(aNaturalNumber0(esk8_1(esk4_0))),inference(sr,[status(thm)],[218495,210,theory(equality)])).
% cnf(218497,negated_conjecture,(sz10=esk4_0|sz00=esk4_0|doDivides0(esk7_1(esk4_0),esk4_0)|$false),inference(rw,[status(thm)],[218416,211,theory(equality)])).
% cnf(218498,negated_conjecture,(sz10=esk4_0|sz00=esk4_0|doDivides0(esk7_1(esk4_0),esk4_0)),inference(cn,[status(thm)],[218497,theory(equality)])).
% cnf(218499,negated_conjecture,(esk4_0=sz00|doDivides0(esk7_1(esk4_0),esk4_0)),inference(sr,[status(thm)],[218498,209,theory(equality)])).
% cnf(218500,negated_conjecture,(doDivides0(esk7_1(esk4_0),esk4_0)),inference(sr,[status(thm)],[218499,210,theory(equality)])).
% cnf(218501,negated_conjecture,(sdtasdt0(esk7_1(esk4_0),esk8_1(esk4_0))=esk4_0|sz10=esk4_0|sz00=esk4_0|$false),inference(rw,[status(thm)],[218417,211,theory(equality)])).
% cnf(218502,negated_conjecture,(sdtasdt0(esk7_1(esk4_0),esk8_1(esk4_0))=esk4_0|sz10=esk4_0|sz00=esk4_0),inference(cn,[status(thm)],[218501,theory(equality)])).
% cnf(218503,negated_conjecture,(sdtasdt0(esk7_1(esk4_0),esk8_1(esk4_0))=esk4_0|esk4_0=sz00),inference(sr,[status(thm)],[218502,209,theory(equality)])).
% cnf(218504,negated_conjecture,(sdtasdt0(esk7_1(esk4_0),esk8_1(esk4_0))=esk4_0),inference(sr,[status(thm)],[218503,210,theory(equality)])).
% cnf(218702,negated_conjecture,(esk7_1(esk4_0)=esk4_0|iLess0(esk7_1(esk4_0),esk4_0)|~doDivides0(esk7_1(esk4_0),esk4_0)|$false),inference(rw,[status(thm)],[4420,218492,theory(equality)])).
% cnf(218703,negated_conjecture,(esk7_1(esk4_0)=esk4_0|iLess0(esk7_1(esk4_0),esk4_0)|~doDivides0(esk7_1(esk4_0),esk4_0)),inference(cn,[status(thm)],[218702,theory(equality)])).
% cnf(218888,negated_conjecture,(doDivides0(X1,esk4_0)|~doDivides0(X1,esk7_1(esk4_0))|~aNaturalNumber0(esk7_1(esk4_0))|~aNaturalNumber0(esk4_0)|~aNaturalNumber0(X1)),inference(spm,[status(thm)],[83,218500,theory(equality)])).
% cnf(218964,negated_conjecture,(doDivides0(X1,esk4_0)|~doDivides0(X1,esk7_1(esk4_0))|$false|~aNaturalNumber0(esk4_0)|~aNaturalNumber0(X1)),inference(rw,[status(thm)],[218888,218492,theory(equality)])).
% cnf(218965,negated_conjecture,(doDivides0(X1,esk4_0)|~doDivides0(X1,esk7_1(esk4_0))|$false|$false|~aNaturalNumber0(X1)),inference(rw,[status(thm)],[218964,211,theory(equality)])).
% cnf(218966,negated_conjecture,(doDivides0(X1,esk4_0)|~doDivides0(X1,esk7_1(esk4_0))|~aNaturalNumber0(X1)),inference(cn,[status(thm)],[218965,theory(equality)])).
% cnf(222237,negated_conjecture,(esk4_0=sz00|sz00!=esk7_1(esk4_0)|~aNaturalNumber0(esk8_1(esk4_0))),inference(spm,[status(thm)],[140592,218504,theory(equality)])).
% cnf(222682,negated_conjecture,(esk4_0=sz00|sz00!=esk7_1(esk4_0)|$false),inference(rw,[status(thm)],[222237,218496,theory(equality)])).
% cnf(222683,negated_conjecture,(esk4_0=sz00|sz00!=esk7_1(esk4_0)),inference(cn,[status(thm)],[222682,theory(equality)])).
% cnf(222684,negated_conjecture,(esk7_1(esk4_0)!=sz00),inference(sr,[status(thm)],[222683,210,theory(equality)])).
% cnf(223837,negated_conjecture,(esk7_1(esk4_0)=esk4_0|iLess0(esk7_1(esk4_0),esk4_0)|$false),inference(rw,[status(thm)],[218703,218500,theory(equality)])).
% cnf(223838,negated_conjecture,(esk7_1(esk4_0)=esk4_0|iLess0(esk7_1(esk4_0),esk4_0)),inference(cn,[status(thm)],[223837,theory(equality)])).
% cnf(223839,negated_conjecture,(iLess0(esk7_1(esk4_0),esk4_0)),inference(sr,[status(thm)],[223838,218488,theory(equality)])).
% cnf(223842,negated_conjecture,(sz00=esk7_1(esk4_0)|sz10=esk7_1(esk4_0)|aNaturalNumber0(esk5_1(esk7_1(esk4_0)))|~aNaturalNumber0(esk7_1(esk4_0))),inference(spm,[status(thm)],[218,223839,theory(equality)])).
% cnf(223844,negated_conjecture,(sz00=esk7_1(esk4_0)|sz10=esk7_1(esk4_0)|isPrime0(esk5_1(esk7_1(esk4_0)))|~aNaturalNumber0(esk7_1(esk4_0))),inference(spm,[status(thm)],[212,223839,theory(equality)])).
% cnf(223856,negated_conjecture,(sz00=esk7_1(esk4_0)|sz10=esk7_1(esk4_0)|aNaturalNumber0(esk5_1(esk7_1(esk4_0)))|$false),inference(rw,[status(thm)],[223842,218492,theory(equality)])).
% cnf(223857,negated_conjecture,(sz00=esk7_1(esk4_0)|sz10=esk7_1(esk4_0)|aNaturalNumber0(esk5_1(esk7_1(esk4_0)))),inference(cn,[status(thm)],[223856,theory(equality)])).
% cnf(223858,negated_conjecture,(esk7_1(esk4_0)=sz00|aNaturalNumber0(esk5_1(esk7_1(esk4_0)))),inference(sr,[status(thm)],[223857,218484,theory(equality)])).
% cnf(223862,negated_conjecture,(sz00=esk7_1(esk4_0)|sz10=esk7_1(esk4_0)|isPrime0(esk5_1(esk7_1(esk4_0)))|$false),inference(rw,[status(thm)],[223844,218492,theory(equality)])).
% cnf(223863,negated_conjecture,(sz00=esk7_1(esk4_0)|sz10=esk7_1(esk4_0)|isPrime0(esk5_1(esk7_1(esk4_0)))),inference(cn,[status(thm)],[223862,theory(equality)])).
% cnf(223864,negated_conjecture,(esk7_1(esk4_0)=sz00|isPrime0(esk5_1(esk7_1(esk4_0)))),inference(sr,[status(thm)],[223863,218484,theory(equality)])).
% cnf(226668,negated_conjecture,(aNaturalNumber0(esk5_1(esk7_1(esk4_0)))),inference(sr,[status(thm)],[223858,222684,theory(equality)])).
% cnf(226670,negated_conjecture,(isPrime0(esk5_1(esk7_1(esk4_0)))),inference(sr,[status(thm)],[223864,222684,theory(equality)])).
% cnf(332030,negated_conjecture,(doDivides0(esk5_1(esk7_1(esk4_0)),esk4_0)|sz00=esk7_1(esk4_0)|sz10=esk7_1(esk4_0)|~aNaturalNumber0(esk5_1(esk7_1(esk4_0)))|~iLess0(esk7_1(esk4_0),esk4_0)|~aNaturalNumber0(esk7_1(esk4_0))),inference(spm,[status(thm)],[218966,215,theory(equality)])).
% cnf(332165,negated_conjecture,(doDivides0(esk5_1(esk7_1(esk4_0)),esk4_0)|sz00=esk7_1(esk4_0)|sz10=esk7_1(esk4_0)|$false|~iLess0(esk7_1(esk4_0),esk4_0)|~aNaturalNumber0(esk7_1(esk4_0))),inference(rw,[status(thm)],[332030,226668,theory(equality)])).
% cnf(332166,negated_conjecture,(doDivides0(esk5_1(esk7_1(esk4_0)),esk4_0)|sz00=esk7_1(esk4_0)|sz10=esk7_1(esk4_0)|$false|$false|~aNaturalNumber0(esk7_1(esk4_0))),inference(rw,[status(thm)],[332165,223839,theory(equality)])).
% cnf(332167,negated_conjecture,(doDivides0(esk5_1(esk7_1(esk4_0)),esk4_0)|sz00=esk7_1(esk4_0)|sz10=esk7_1(esk4_0)|$false|$false|$false),inference(rw,[status(thm)],[332166,218492,theory(equality)])).
% cnf(332168,negated_conjecture,(doDivides0(esk5_1(esk7_1(esk4_0)),esk4_0)|sz00=esk7_1(esk4_0)|sz10=esk7_1(esk4_0)),inference(cn,[status(thm)],[332167,theory(equality)])).
% cnf(332169,negated_conjecture,(doDivides0(esk5_1(esk7_1(esk4_0)),esk4_0)|esk7_1(esk4_0)=sz10),inference(sr,[status(thm)],[332168,222684,theory(equality)])).
% cnf(332170,negated_conjecture,(doDivides0(esk5_1(esk7_1(esk4_0)),esk4_0)),inference(sr,[status(thm)],[332169,218484,theory(equality)])).
% cnf(332601,negated_conjecture,(~isPrime0(esk5_1(esk7_1(esk4_0)))|~aNaturalNumber0(esk5_1(esk7_1(esk4_0)))|~aNaturalNumber0(esk4_0)),inference(spm,[status(thm)],[4444,332170,theory(equality)])).
% cnf(332661,negated_conjecture,($false|~aNaturalNumber0(esk5_1(esk7_1(esk4_0)))|~aNaturalNumber0(esk4_0)),inference(rw,[status(thm)],[332601,226670,theory(equality)])).
% cnf(332662,negated_conjecture,($false|$false|~aNaturalNumber0(esk4_0)),inference(rw,[status(thm)],[332661,226668,theory(equality)])).
% cnf(332663,negated_conjecture,($false|$false|$false),inference(rw,[status(thm)],[332662,211,theory(equality)])).
% cnf(332664,negated_conjecture,($false),inference(cn,[status(thm)],[332663,theory(equality)])).
% cnf(332665,negated_conjecture,($false),332664,['proof']).
% # SZS output end CNFRefutation
% # Processed clauses : 10427
% # ...of these trivial : 206
% # ...subsumed : 8415
% # ...remaining for further processing: 1806
% # Other redundant clauses eliminated : 478
% # Clauses deleted for lack of memory : 0
% # Backward-subsumed : 95
% # Backward-rewritten : 162
% # Generated clauses : 138872
% # ...of the previous two non-trivial : 124642
% # Contextual simplify-reflections : 4419
% # Paramodulations : 138308
% # Factorizations : 1
% # Equation resolutions : 546
% # Current number of processed clauses: 1449
% # Positive orientable unit clauses: 137
% # Positive unorientable unit clauses: 0
% # Negative unit clauses : 61
% # Non-unit-clauses : 1251
% # Current number of unprocessed clauses: 107351
% # ...number of literals in the above : 719636
% # Clause-clause subsumption calls (NU) : 171393
% # Rec. Clause-clause subsumption calls : 81331
% # Unit Clause-clause subsumption calls : 3450
% # Rewrite failures with RHS unbound : 0
% # Indexed BW rewrite attempts : 45
% # Indexed BW rewrite successes : 35
% # Backwards rewriting index: 1130 leaves, 1.40+/-1.359 terms/leaf
% # Paramod-from index: 594 leaves, 1.21+/-0.637 terms/leaf
% # Paramod-into index: 792 leaves, 1.39+/-1.275 terms/leaf
% # -------------------------------------------------
% # User time : 6.886 s
% # System time : 0.238 s
% # Total time : 7.124 s
% # Maximum resident set size: 0 pages
% PrfWatch: 12.74 CPU 13.67 WC
% FINAL PrfWatch: 12.74 CPU 13.67 WC
% SZS output end Solution for /tmp/SystemOnTPTP29528/NUM481+3.tptp
%
%------------------------------------------------------------------------------