TSTP Solution File: NUM513+1 by SRASS---0.1
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- Process Solution
%------------------------------------------------------------------------------
% File : SRASS---0.1
% Problem : NUM513+1 : TPTP v5.0.0. Released v4.0.0.
% Transfm : none
% Format : tptp
% Command : SRASS -q2 -a 0 10 10 10 -i3 -n60 %s
% Computer : art01.cs.miami.edu
% Model : i686 i686
% CPU : Intel(R) Pentium(R) 4 CPU 2.80GHz @ 2793MHz
% Memory : 2018MB
% OS : Linux 2.6.26.8-57.fc8
% CPULimit : 300s
% DateTime : Wed Dec 29 19:46:34 EST 2010
% Result : Theorem 12.38s
% Output : Solution 12.38s
% 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/SystemOnTPTP11555/NUM513+1.tptp
% Adding relevance values
% Extracting the conjecture
% Sorting axioms by relevance
% Looking for THM ...
% found
% SZS status THM for /tmp/SystemOnTPTP11555/NUM513+1.tptp
% SZS output start Solution for /tmp/SystemOnTPTP11555/NUM513+1.tptp
% TreeLimitedRun: ----------------------------------------------------------
% TreeLimitedRun: /home/graph/tptp/Systems/EP---1.2/eproof --print-statistics -xAuto -tAuto --cpu-limit=60 --proof-time-unlimited --memory-limit=Auto --tstp-in --tstp-out /tmp/SRASS.s.p
% TreeLimitedRun: CPU time limit is 60s
% TreeLimitedRun: WC time limit is 120s
% TreeLimitedRun: PID is 11651
% TreeLimitedRun: ----------------------------------------------------------
% PrfWatch: 0.00 CPU 0.02 WC
% PrfWatch: 1.93 CPU 2.03 WC
% PrfWatch: 3.91 CPU 4.04 WC
% PrfWatch: 5.50 CPU 6.04 WC
% # Preprocessing time : 0.020 s
% # Problem is unsatisfiable (or provable), constructing proof object
% # SZS status Theorem
% PrfWatch: 7.12 CPU 8.05 WC
% PrfWatch: 9.12 CPU 10.06 WC
% PrfWatch: 11.11 CPU 12.06 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(4, axiom,![X1]:![X2]:((aNaturalNumber0(X1)&aNaturalNumber0(X2))=>aNaturalNumber0(sdtasdt0(X1,X2))),file('/tmp/SRASS.s.p', mSortsB_02)).
% fof(5, axiom,![X1]:![X2]:((aNaturalNumber0(X1)&aNaturalNumber0(X2))=>sdtpldt0(X1,X2)=sdtpldt0(X2,X1)),file('/tmp/SRASS.s.p', mAddComm)).
% fof(8, axiom,![X1]:![X2]:((aNaturalNumber0(X1)&aNaturalNumber0(X2))=>sdtasdt0(X1,X2)=sdtasdt0(X2,X1)),file('/tmp/SRASS.s.p', mMulComm)).
% fof(9, 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(10, axiom,![X1]:(aNaturalNumber0(X1)=>(sdtasdt0(X1,sz10)=X1&X1=sdtasdt0(sz10,X1))),file('/tmp/SRASS.s.p', m_MulUnit)).
% fof(15, axiom,![X1]:![X2]:((aNaturalNumber0(X1)&aNaturalNumber0(X2))=>(sdtpldt0(X1,X2)=sz00=>(X1=sz00&X2=sz00))),file('/tmp/SRASS.s.p', mZeroAdd)).
% fof(17, axiom,![X1]:![X2]:((aNaturalNumber0(X1)&aNaturalNumber0(X2))=>(sdtlseqdt0(X1,X2)<=>?[X3]:(aNaturalNumber0(X3)&sdtpldt0(X1,X3)=X2))),file('/tmp/SRASS.s.p', mDefLE)).
% fof(20, axiom,![X1]:![X2]:![X3]:(((aNaturalNumber0(X1)&aNaturalNumber0(X2))&aNaturalNumber0(X3))=>((sdtlseqdt0(X1,X2)&sdtlseqdt0(X2,X3))=>sdtlseqdt0(X1,X3))),file('/tmp/SRASS.s.p', mLETran)).
% fof(25, axiom,![X1]:![X2]:((aNaturalNumber0(X1)&aNaturalNumber0(X2))=>(~(X1=sz00)=>sdtlseqdt0(X2,sdtasdt0(X2,X1)))),file('/tmp/SRASS.s.p', mMonMul2)).
% fof(27, axiom,![X1]:![X2]:((aNaturalNumber0(X1)&aNaturalNumber0(X2))=>(doDivides0(X1,X2)<=>?[X3]:(aNaturalNumber0(X3)&X2=sdtasdt0(X1,X3)))),file('/tmp/SRASS.s.p', mDefDiv)).
% fof(28, 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(30, axiom,![X1]:![X2]:![X3]:(((aNaturalNumber0(X1)&aNaturalNumber0(X2))&aNaturalNumber0(X3))=>((doDivides0(X1,X2)&doDivides0(X1,X3))=>doDivides0(X1,sdtpldt0(X2,X3)))),file('/tmp/SRASS.s.p', mDivSum)).
% fof(31, 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(32, axiom,![X1]:![X2]:((aNaturalNumber0(X1)&aNaturalNumber0(X2))=>((doDivides0(X1,X2)&~(X2=sz00))=>sdtlseqdt0(X1,X2))),file('/tmp/SRASS.s.p', mDivLE)).
% fof(33, 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(34, axiom,![X1]:(aNaturalNumber0(X1)=>(isPrime0(X1)<=>((~(X1=sz00)&~(X1=sz10))&![X2]:((aNaturalNumber0(X2)&doDivides0(X2,X1))=>(X2=sz10|X2=X1))))),file('/tmp/SRASS.s.p', mDefPrime)).
% fof(36, axiom,((aNaturalNumber0(xn)&aNaturalNumber0(xm))&aNaturalNumber0(xp)),file('/tmp/SRASS.s.p', m__1837)).
% fof(38, axiom,(isPrime0(xp)&doDivides0(xp,sdtasdt0(xn,xm))),file('/tmp/SRASS.s.p', m__1860)).
% fof(41, axiom,(((~(xn=xp)&sdtlseqdt0(xn,xp))&~(xm=xp))&sdtlseqdt0(xm,xp)),file('/tmp/SRASS.s.p', m__2287)).
% fof(42, axiom,xk=sdtsldt0(sdtasdt0(xn,xm),xp),file('/tmp/SRASS.s.p', m__2306)).
% fof(43, axiom,~((xk=sz00|xk=sz10)),file('/tmp/SRASS.s.p', m__2315)).
% fof(45, axiom,((aNaturalNumber0(xr)&doDivides0(xr,xk))&isPrime0(xr)),file('/tmp/SRASS.s.p', m__2342)).
% fof(46, axiom,(sdtlseqdt0(xr,xk)&doDivides0(xr,sdtasdt0(xn,xm))),file('/tmp/SRASS.s.p', m__2362)).
% fof(49, axiom,doDivides0(xr,xn),file('/tmp/SRASS.s.p', m__2487)).
% fof(50, axiom,(~(sdtsldt0(xn,xr)=xn)&sdtlseqdt0(sdtsldt0(xn,xr),xn)),file('/tmp/SRASS.s.p', m__2504)).
% fof(51, axiom,(sdtasdt0(sdtasdt0(sdtsldt0(xn,xr),xm),xr)=sdtasdt0(xn,xm)&sdtasdt0(xn,xm)=sdtasdt0(sdtsldt0(sdtasdt0(xp,xk),xr),xr)),file('/tmp/SRASS.s.p', m__2576)).
% fof(55, conjecture,sdtasdt0(xp,sdtsldt0(xk,xr))=sdtasdt0(sdtsldt0(xn,xr),xm),file('/tmp/SRASS.s.p', m__)).
% fof(56, negated_conjecture,~(sdtasdt0(xp,sdtsldt0(xk,xr))=sdtasdt0(sdtsldt0(xn,xr),xm)),inference(assume_negation,[status(cth)],[55])).
% fof(61, negated_conjecture,~(sdtasdt0(xp,sdtsldt0(xk,xr))=sdtasdt0(sdtsldt0(xn,xr),xm)),inference(fof_simplification,[status(thm)],[56,theory(equality)])).
% cnf(62,plain,(aNaturalNumber0(sz00)),inference(split_conjunct,[status(thm)],[1])).
% cnf(64,plain,(aNaturalNumber0(sz10)),inference(split_conjunct,[status(thm)],[2])).
% fof(68, plain,![X1]:![X2]:((~(aNaturalNumber0(X1))|~(aNaturalNumber0(X2)))|aNaturalNumber0(sdtasdt0(X1,X2))),inference(fof_nnf,[status(thm)],[4])).
% fof(69, plain,![X3]:![X4]:((~(aNaturalNumber0(X3))|~(aNaturalNumber0(X4)))|aNaturalNumber0(sdtasdt0(X3,X4))),inference(variable_rename,[status(thm)],[68])).
% cnf(70,plain,(aNaturalNumber0(sdtasdt0(X1,X2))|~aNaturalNumber0(X2)|~aNaturalNumber0(X1)),inference(split_conjunct,[status(thm)],[69])).
% fof(71, plain,![X1]:![X2]:((~(aNaturalNumber0(X1))|~(aNaturalNumber0(X2)))|sdtpldt0(X1,X2)=sdtpldt0(X2,X1)),inference(fof_nnf,[status(thm)],[5])).
% fof(72, plain,![X3]:![X4]:((~(aNaturalNumber0(X3))|~(aNaturalNumber0(X4)))|sdtpldt0(X3,X4)=sdtpldt0(X4,X3)),inference(variable_rename,[status(thm)],[71])).
% cnf(73,plain,(sdtpldt0(X1,X2)=sdtpldt0(X2,X1)|~aNaturalNumber0(X2)|~aNaturalNumber0(X1)),inference(split_conjunct,[status(thm)],[72])).
% fof(82, plain,![X1]:![X2]:((~(aNaturalNumber0(X1))|~(aNaturalNumber0(X2)))|sdtasdt0(X1,X2)=sdtasdt0(X2,X1)),inference(fof_nnf,[status(thm)],[8])).
% fof(83, plain,![X3]:![X4]:((~(aNaturalNumber0(X3))|~(aNaturalNumber0(X4)))|sdtasdt0(X3,X4)=sdtasdt0(X4,X3)),inference(variable_rename,[status(thm)],[82])).
% cnf(84,plain,(sdtasdt0(X1,X2)=sdtasdt0(X2,X1)|~aNaturalNumber0(X2)|~aNaturalNumber0(X1)),inference(split_conjunct,[status(thm)],[83])).
% fof(85, 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)],[9])).
% fof(86, 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)],[85])).
% cnf(87,plain,(sdtasdt0(sdtasdt0(X1,X2),X3)=sdtasdt0(X1,sdtasdt0(X2,X3))|~aNaturalNumber0(X3)|~aNaturalNumber0(X2)|~aNaturalNumber0(X1)),inference(split_conjunct,[status(thm)],[86])).
% fof(88, plain,![X1]:(~(aNaturalNumber0(X1))|(sdtasdt0(X1,sz10)=X1&X1=sdtasdt0(sz10,X1))),inference(fof_nnf,[status(thm)],[10])).
% fof(89, plain,![X2]:(~(aNaturalNumber0(X2))|(sdtasdt0(X2,sz10)=X2&X2=sdtasdt0(sz10,X2))),inference(variable_rename,[status(thm)],[88])).
% fof(90, plain,![X2]:((sdtasdt0(X2,sz10)=X2|~(aNaturalNumber0(X2)))&(X2=sdtasdt0(sz10,X2)|~(aNaturalNumber0(X2)))),inference(distribute,[status(thm)],[89])).
% cnf(91,plain,(X1=sdtasdt0(sz10,X1)|~aNaturalNumber0(X1)),inference(split_conjunct,[status(thm)],[90])).
% cnf(92,plain,(sdtasdt0(X1,sz10)=X1|~aNaturalNumber0(X1)),inference(split_conjunct,[status(thm)],[90])).
% fof(114, plain,![X1]:![X2]:((~(aNaturalNumber0(X1))|~(aNaturalNumber0(X2)))|(~(sdtpldt0(X1,X2)=sz00)|(X1=sz00&X2=sz00))),inference(fof_nnf,[status(thm)],[15])).
% fof(115, plain,![X3]:![X4]:((~(aNaturalNumber0(X3))|~(aNaturalNumber0(X4)))|(~(sdtpldt0(X3,X4)=sz00)|(X3=sz00&X4=sz00))),inference(variable_rename,[status(thm)],[114])).
% fof(116, 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)],[115])).
% cnf(118,plain,(X2=sz00|~aNaturalNumber0(X1)|~aNaturalNumber0(X2)|sdtpldt0(X2,X1)!=sz00),inference(split_conjunct,[status(thm)],[116])).
% fof(122, 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)],[17])).
% fof(123, 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)],[122])).
% fof(124, plain,![X4]:![X5]:((~(aNaturalNumber0(X4))|~(aNaturalNumber0(X5)))|((~(sdtlseqdt0(X4,X5))|(aNaturalNumber0(esk1_2(X4,X5))&sdtpldt0(X4,esk1_2(X4,X5))=X5))&(![X7]:(~(aNaturalNumber0(X7))|~(sdtpldt0(X4,X7)=X5))|sdtlseqdt0(X4,X5)))),inference(skolemize,[status(esa)],[123])).
% fof(125, plain,![X4]:![X5]:![X7]:((((~(aNaturalNumber0(X7))|~(sdtpldt0(X4,X7)=X5))|sdtlseqdt0(X4,X5))&(~(sdtlseqdt0(X4,X5))|(aNaturalNumber0(esk1_2(X4,X5))&sdtpldt0(X4,esk1_2(X4,X5))=X5)))|(~(aNaturalNumber0(X4))|~(aNaturalNumber0(X5)))),inference(shift_quantors,[status(thm)],[124])).
% fof(126, plain,![X4]:![X5]:![X7]:((((~(aNaturalNumber0(X7))|~(sdtpldt0(X4,X7)=X5))|sdtlseqdt0(X4,X5))|(~(aNaturalNumber0(X4))|~(aNaturalNumber0(X5))))&(((aNaturalNumber0(esk1_2(X4,X5))|~(sdtlseqdt0(X4,X5)))|(~(aNaturalNumber0(X4))|~(aNaturalNumber0(X5))))&((sdtpldt0(X4,esk1_2(X4,X5))=X5|~(sdtlseqdt0(X4,X5)))|(~(aNaturalNumber0(X4))|~(aNaturalNumber0(X5)))))),inference(distribute,[status(thm)],[125])).
% cnf(127,plain,(sdtpldt0(X2,esk1_2(X2,X1))=X1|~aNaturalNumber0(X1)|~aNaturalNumber0(X2)|~sdtlseqdt0(X2,X1)),inference(split_conjunct,[status(thm)],[126])).
% cnf(128,plain,(aNaturalNumber0(esk1_2(X2,X1))|~aNaturalNumber0(X1)|~aNaturalNumber0(X2)|~sdtlseqdt0(X2,X1)),inference(split_conjunct,[status(thm)],[126])).
% fof(136, plain,![X1]:![X2]:![X3]:(((~(aNaturalNumber0(X1))|~(aNaturalNumber0(X2)))|~(aNaturalNumber0(X3)))|((~(sdtlseqdt0(X1,X2))|~(sdtlseqdt0(X2,X3)))|sdtlseqdt0(X1,X3))),inference(fof_nnf,[status(thm)],[20])).
% fof(137, plain,![X4]:![X5]:![X6]:(((~(aNaturalNumber0(X4))|~(aNaturalNumber0(X5)))|~(aNaturalNumber0(X6)))|((~(sdtlseqdt0(X4,X5))|~(sdtlseqdt0(X5,X6)))|sdtlseqdt0(X4,X6))),inference(variable_rename,[status(thm)],[136])).
% cnf(138,plain,(sdtlseqdt0(X1,X2)|~sdtlseqdt0(X3,X2)|~sdtlseqdt0(X1,X3)|~aNaturalNumber0(X2)|~aNaturalNumber0(X3)|~aNaturalNumber0(X1)),inference(split_conjunct,[status(thm)],[137])).
% fof(164, plain,![X1]:![X2]:((~(aNaturalNumber0(X1))|~(aNaturalNumber0(X2)))|(X1=sz00|sdtlseqdt0(X2,sdtasdt0(X2,X1)))),inference(fof_nnf,[status(thm)],[25])).
% fof(165, plain,![X3]:![X4]:((~(aNaturalNumber0(X3))|~(aNaturalNumber0(X4)))|(X3=sz00|sdtlseqdt0(X4,sdtasdt0(X4,X3)))),inference(variable_rename,[status(thm)],[164])).
% cnf(166,plain,(sdtlseqdt0(X1,sdtasdt0(X1,X2))|X2=sz00|~aNaturalNumber0(X1)|~aNaturalNumber0(X2)),inference(split_conjunct,[status(thm)],[165])).
% fof(170, 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)],[27])).
% fof(171, 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)],[170])).
% fof(172, plain,![X4]:![X5]:((~(aNaturalNumber0(X4))|~(aNaturalNumber0(X5)))|((~(doDivides0(X4,X5))|(aNaturalNumber0(esk2_2(X4,X5))&X5=sdtasdt0(X4,esk2_2(X4,X5))))&(![X7]:(~(aNaturalNumber0(X7))|~(X5=sdtasdt0(X4,X7)))|doDivides0(X4,X5)))),inference(skolemize,[status(esa)],[171])).
% fof(173, plain,![X4]:![X5]:![X7]:((((~(aNaturalNumber0(X7))|~(X5=sdtasdt0(X4,X7)))|doDivides0(X4,X5))&(~(doDivides0(X4,X5))|(aNaturalNumber0(esk2_2(X4,X5))&X5=sdtasdt0(X4,esk2_2(X4,X5)))))|(~(aNaturalNumber0(X4))|~(aNaturalNumber0(X5)))),inference(shift_quantors,[status(thm)],[172])).
% fof(174, plain,![X4]:![X5]:![X7]:((((~(aNaturalNumber0(X7))|~(X5=sdtasdt0(X4,X7)))|doDivides0(X4,X5))|(~(aNaturalNumber0(X4))|~(aNaturalNumber0(X5))))&(((aNaturalNumber0(esk2_2(X4,X5))|~(doDivides0(X4,X5)))|(~(aNaturalNumber0(X4))|~(aNaturalNumber0(X5))))&((X5=sdtasdt0(X4,esk2_2(X4,X5))|~(doDivides0(X4,X5)))|(~(aNaturalNumber0(X4))|~(aNaturalNumber0(X5)))))),inference(distribute,[status(thm)],[173])).
% cnf(175,plain,(X1=sdtasdt0(X2,esk2_2(X2,X1))|~aNaturalNumber0(X1)|~aNaturalNumber0(X2)|~doDivides0(X2,X1)),inference(split_conjunct,[status(thm)],[174])).
% cnf(176,plain,(aNaturalNumber0(esk2_2(X2,X1))|~aNaturalNumber0(X1)|~aNaturalNumber0(X2)|~doDivides0(X2,X1)),inference(split_conjunct,[status(thm)],[174])).
% cnf(177,plain,(doDivides0(X2,X1)|~aNaturalNumber0(X1)|~aNaturalNumber0(X2)|X1!=sdtasdt0(X2,X3)|~aNaturalNumber0(X3)),inference(split_conjunct,[status(thm)],[174])).
% fof(178, 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)],[28])).
% fof(179, 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)],[178])).
% fof(180, 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)],[179])).
% fof(181, 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)],[180])).
% cnf(182,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)],[181])).
% cnf(183,plain,(X2=sz00|X1=sdtasdt0(X2,X3)|~aNaturalNumber0(X1)|~aNaturalNumber0(X2)|~doDivides0(X2,X1)|X3!=sdtsldt0(X1,X2)),inference(split_conjunct,[status(thm)],[181])).
% cnf(184,plain,(X2=sz00|aNaturalNumber0(X3)|~aNaturalNumber0(X1)|~aNaturalNumber0(X2)|~doDivides0(X2,X1)|X3!=sdtsldt0(X1,X2)),inference(split_conjunct,[status(thm)],[181])).
% fof(188, plain,![X1]:![X2]:![X3]:(((~(aNaturalNumber0(X1))|~(aNaturalNumber0(X2)))|~(aNaturalNumber0(X3)))|((~(doDivides0(X1,X2))|~(doDivides0(X1,X3)))|doDivides0(X1,sdtpldt0(X2,X3)))),inference(fof_nnf,[status(thm)],[30])).
% fof(189, plain,![X4]:![X5]:![X6]:(((~(aNaturalNumber0(X4))|~(aNaturalNumber0(X5)))|~(aNaturalNumber0(X6)))|((~(doDivides0(X4,X5))|~(doDivides0(X4,X6)))|doDivides0(X4,sdtpldt0(X5,X6)))),inference(variable_rename,[status(thm)],[188])).
% cnf(190,plain,(doDivides0(X1,sdtpldt0(X2,X3))|~doDivides0(X1,X3)|~doDivides0(X1,X2)|~aNaturalNumber0(X3)|~aNaturalNumber0(X2)|~aNaturalNumber0(X1)),inference(split_conjunct,[status(thm)],[189])).
% fof(191, 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)],[31])).
% fof(192, 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)],[191])).
% cnf(193,plain,(doDivides0(X1,X2)|~doDivides0(X1,sdtpldt0(X3,X2))|~doDivides0(X1,X3)|~aNaturalNumber0(X2)|~aNaturalNumber0(X3)|~aNaturalNumber0(X1)),inference(split_conjunct,[status(thm)],[192])).
% fof(194, plain,![X1]:![X2]:((~(aNaturalNumber0(X1))|~(aNaturalNumber0(X2)))|((~(doDivides0(X1,X2))|X2=sz00)|sdtlseqdt0(X1,X2))),inference(fof_nnf,[status(thm)],[32])).
% fof(195, plain,![X3]:![X4]:((~(aNaturalNumber0(X3))|~(aNaturalNumber0(X4)))|((~(doDivides0(X3,X4))|X4=sz00)|sdtlseqdt0(X3,X4))),inference(variable_rename,[status(thm)],[194])).
% cnf(196,plain,(sdtlseqdt0(X1,X2)|X2=sz00|~doDivides0(X1,X2)|~aNaturalNumber0(X2)|~aNaturalNumber0(X1)),inference(split_conjunct,[status(thm)],[195])).
% fof(197, 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)],[33])).
% fof(198, 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)],[197])).
% fof(199, 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)],[198])).
% cnf(200,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)],[199])).
% fof(201, plain,![X1]:(~(aNaturalNumber0(X1))|((~(isPrime0(X1))|((~(X1=sz00)&~(X1=sz10))&![X2]:((~(aNaturalNumber0(X2))|~(doDivides0(X2,X1)))|(X2=sz10|X2=X1))))&(((X1=sz00|X1=sz10)|?[X2]:((aNaturalNumber0(X2)&doDivides0(X2,X1))&(~(X2=sz10)&~(X2=X1))))|isPrime0(X1)))),inference(fof_nnf,[status(thm)],[34])).
% fof(202, plain,![X3]:(~(aNaturalNumber0(X3))|((~(isPrime0(X3))|((~(X3=sz00)&~(X3=sz10))&![X4]:((~(aNaturalNumber0(X4))|~(doDivides0(X4,X3)))|(X4=sz10|X4=X3))))&(((X3=sz00|X3=sz10)|?[X5]:((aNaturalNumber0(X5)&doDivides0(X5,X3))&(~(X5=sz10)&~(X5=X3))))|isPrime0(X3)))),inference(variable_rename,[status(thm)],[201])).
% fof(203, plain,![X3]:(~(aNaturalNumber0(X3))|((~(isPrime0(X3))|((~(X3=sz00)&~(X3=sz10))&![X4]:((~(aNaturalNumber0(X4))|~(doDivides0(X4,X3)))|(X4=sz10|X4=X3))))&(((X3=sz00|X3=sz10)|((aNaturalNumber0(esk3_1(X3))&doDivides0(esk3_1(X3),X3))&(~(esk3_1(X3)=sz10)&~(esk3_1(X3)=X3))))|isPrime0(X3)))),inference(skolemize,[status(esa)],[202])).
% fof(204, plain,![X3]:![X4]:((((((~(aNaturalNumber0(X4))|~(doDivides0(X4,X3)))|(X4=sz10|X4=X3))&(~(X3=sz00)&~(X3=sz10)))|~(isPrime0(X3)))&(((X3=sz00|X3=sz10)|((aNaturalNumber0(esk3_1(X3))&doDivides0(esk3_1(X3),X3))&(~(esk3_1(X3)=sz10)&~(esk3_1(X3)=X3))))|isPrime0(X3)))|~(aNaturalNumber0(X3))),inference(shift_quantors,[status(thm)],[203])).
% fof(205, plain,![X3]:![X4]:((((((~(aNaturalNumber0(X4))|~(doDivides0(X4,X3)))|(X4=sz10|X4=X3))|~(isPrime0(X3)))|~(aNaturalNumber0(X3)))&(((~(X3=sz00)|~(isPrime0(X3)))|~(aNaturalNumber0(X3)))&((~(X3=sz10)|~(isPrime0(X3)))|~(aNaturalNumber0(X3)))))&(((((aNaturalNumber0(esk3_1(X3))|(X3=sz00|X3=sz10))|isPrime0(X3))|~(aNaturalNumber0(X3)))&(((doDivides0(esk3_1(X3),X3)|(X3=sz00|X3=sz10))|isPrime0(X3))|~(aNaturalNumber0(X3))))&((((~(esk3_1(X3)=sz10)|(X3=sz00|X3=sz10))|isPrime0(X3))|~(aNaturalNumber0(X3)))&(((~(esk3_1(X3)=X3)|(X3=sz00|X3=sz10))|isPrime0(X3))|~(aNaturalNumber0(X3)))))),inference(distribute,[status(thm)],[204])).
% cnf(211,plain,(~aNaturalNumber0(X1)|~isPrime0(X1)|X1!=sz00),inference(split_conjunct,[status(thm)],[205])).
% cnf(220,plain,(aNaturalNumber0(xp)),inference(split_conjunct,[status(thm)],[36])).
% cnf(221,plain,(aNaturalNumber0(xm)),inference(split_conjunct,[status(thm)],[36])).
% cnf(222,plain,(aNaturalNumber0(xn)),inference(split_conjunct,[status(thm)],[36])).
% cnf(226,plain,(doDivides0(xp,sdtasdt0(xn,xm))),inference(split_conjunct,[status(thm)],[38])).
% cnf(232,plain,(sdtlseqdt0(xn,xp)),inference(split_conjunct,[status(thm)],[41])).
% cnf(234,plain,(xk=sdtsldt0(sdtasdt0(xn,xm),xp)),inference(split_conjunct,[status(thm)],[42])).
% fof(235, plain,(~(xk=sz00)&~(xk=sz10)),inference(fof_nnf,[status(thm)],[43])).
% cnf(237,plain,(xk!=sz00),inference(split_conjunct,[status(thm)],[235])).
% cnf(240,plain,(isPrime0(xr)),inference(split_conjunct,[status(thm)],[45])).
% cnf(241,plain,(doDivides0(xr,xk)),inference(split_conjunct,[status(thm)],[45])).
% cnf(242,plain,(aNaturalNumber0(xr)),inference(split_conjunct,[status(thm)],[45])).
% cnf(243,plain,(doDivides0(xr,sdtasdt0(xn,xm))),inference(split_conjunct,[status(thm)],[46])).
% cnf(248,plain,(doDivides0(xr,xn)),inference(split_conjunct,[status(thm)],[49])).
% cnf(250,plain,(sdtsldt0(xn,xr)!=xn),inference(split_conjunct,[status(thm)],[50])).
% cnf(252,plain,(sdtasdt0(sdtasdt0(sdtsldt0(xn,xr),xm),xr)=sdtasdt0(xn,xm)),inference(split_conjunct,[status(thm)],[51])).
% cnf(264,negated_conjecture,(sdtasdt0(xp,sdtsldt0(xk,xr))!=sdtasdt0(sdtsldt0(xn,xr),xm)),inference(split_conjunct,[status(thm)],[61])).
% cnf(265,plain,(~isPrime0(sz00)|~aNaturalNumber0(sz00)),inference(er,[status(thm)],[211,theory(equality)])).
% cnf(266,plain,(~isPrime0(sz00)|$false),inference(rw,[status(thm)],[265,62,theory(equality)])).
% cnf(267,plain,(~isPrime0(sz00)),inference(cn,[status(thm)],[266,theory(equality)])).
% cnf(295,plain,(sdtasdt0(xr,sdtasdt0(sdtsldt0(xn,xr),xm))=sdtasdt0(xn,xm)|~aNaturalNumber0(sdtasdt0(sdtsldt0(xn,xr),xm))|~aNaturalNumber0(xr)),inference(spm,[status(thm)],[252,84,theory(equality)])).
% cnf(316,plain,(sdtasdt0(xr,sdtasdt0(sdtsldt0(xn,xr),xm))=sdtasdt0(xn,xm)|~aNaturalNumber0(sdtasdt0(sdtsldt0(xn,xr),xm))|$false),inference(rw,[status(thm)],[295,242,theory(equality)])).
% cnf(317,plain,(sdtasdt0(xr,sdtasdt0(sdtsldt0(xn,xr),xm))=sdtasdt0(xn,xm)|~aNaturalNumber0(sdtasdt0(sdtsldt0(xn,xr),xm))),inference(cn,[status(thm)],[316,theory(equality)])).
% cnf(433,plain,(aNaturalNumber0(esk1_2(xn,xp))|~aNaturalNumber0(xn)|~aNaturalNumber0(xp)),inference(spm,[status(thm)],[128,232,theory(equality)])).
% cnf(445,plain,(aNaturalNumber0(esk1_2(xn,xp))|$false|~aNaturalNumber0(xp)),inference(rw,[status(thm)],[433,222,theory(equality)])).
% cnf(446,plain,(aNaturalNumber0(esk1_2(xn,xp))|$false|$false),inference(rw,[status(thm)],[445,220,theory(equality)])).
% cnf(447,plain,(aNaturalNumber0(esk1_2(xn,xp))),inference(cn,[status(thm)],[446,theory(equality)])).
% cnf(454,plain,(aNaturalNumber0(esk2_2(xr,xn))|~aNaturalNumber0(xr)|~aNaturalNumber0(xn)),inference(spm,[status(thm)],[176,248,theory(equality)])).
% cnf(455,plain,(aNaturalNumber0(esk2_2(xr,sdtasdt0(xn,xm)))|~aNaturalNumber0(xr)|~aNaturalNumber0(sdtasdt0(xn,xm))),inference(spm,[status(thm)],[176,243,theory(equality)])).
% cnf(459,plain,(aNaturalNumber0(esk2_2(xr,xn))|$false|~aNaturalNumber0(xn)),inference(rw,[status(thm)],[454,242,theory(equality)])).
% cnf(460,plain,(aNaturalNumber0(esk2_2(xr,xn))|$false|$false),inference(rw,[status(thm)],[459,222,theory(equality)])).
% cnf(461,plain,(aNaturalNumber0(esk2_2(xr,xn))),inference(cn,[status(thm)],[460,theory(equality)])).
% cnf(462,plain,(aNaturalNumber0(esk2_2(xr,sdtasdt0(xn,xm)))|$false|~aNaturalNumber0(sdtasdt0(xn,xm))),inference(rw,[status(thm)],[455,242,theory(equality)])).
% cnf(463,plain,(aNaturalNumber0(esk2_2(xr,sdtasdt0(xn,xm)))|~aNaturalNumber0(sdtasdt0(xn,xm))),inference(cn,[status(thm)],[462,theory(equality)])).
% cnf(468,plain,(sdtasdt0(xr,esk2_2(xr,xn))=xn|~aNaturalNumber0(xr)|~aNaturalNumber0(xn)),inference(spm,[status(thm)],[175,248,theory(equality)])).
% cnf(469,plain,(sdtasdt0(xr,esk2_2(xr,sdtasdt0(xn,xm)))=sdtasdt0(xn,xm)|~aNaturalNumber0(xr)|~aNaturalNumber0(sdtasdt0(xn,xm))),inference(spm,[status(thm)],[175,243,theory(equality)])).
% cnf(473,plain,(sdtasdt0(xr,esk2_2(xr,xn))=xn|$false|~aNaturalNumber0(xn)),inference(rw,[status(thm)],[468,242,theory(equality)])).
% cnf(474,plain,(sdtasdt0(xr,esk2_2(xr,xn))=xn|$false|$false),inference(rw,[status(thm)],[473,222,theory(equality)])).
% cnf(475,plain,(sdtasdt0(xr,esk2_2(xr,xn))=xn),inference(cn,[status(thm)],[474,theory(equality)])).
% cnf(476,plain,(sdtasdt0(xr,esk2_2(xr,sdtasdt0(xn,xm)))=sdtasdt0(xn,xm)|$false|~aNaturalNumber0(sdtasdt0(xn,xm))),inference(rw,[status(thm)],[469,242,theory(equality)])).
% cnf(477,plain,(sdtasdt0(xr,esk2_2(xr,sdtasdt0(xn,xm)))=sdtasdt0(xn,xm)|~aNaturalNumber0(sdtasdt0(xn,xm))),inference(cn,[status(thm)],[476,theory(equality)])).
% cnf(535,plain,(doDivides0(X1,X2)|X1!=X2|~aNaturalNumber0(sz10)|~aNaturalNumber0(X1)|~aNaturalNumber0(X2)),inference(spm,[status(thm)],[177,92,theory(equality)])).
% cnf(548,plain,(doDivides0(X1,X2)|X1!=X2|$false|~aNaturalNumber0(X1)|~aNaturalNumber0(X2)),inference(rw,[status(thm)],[535,64,theory(equality)])).
% cnf(549,plain,(doDivides0(X1,X2)|X1!=X2|~aNaturalNumber0(X1)|~aNaturalNumber0(X2)),inference(cn,[status(thm)],[548,theory(equality)])).
% cnf(550,plain,(doDivides0(X1,X1)|~aNaturalNumber0(X1)),inference(er,[status(thm)],[549,theory(equality)])).
% cnf(557,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)],[84,87,theory(equality)])).
% cnf(563,plain,(sdtasdt0(sdtsldt0(xn,xr),sdtasdt0(xm,xr))=sdtasdt0(xn,xm)|~aNaturalNumber0(xr)|~aNaturalNumber0(xm)|~aNaturalNumber0(sdtsldt0(xn,xr))),inference(spm,[status(thm)],[252,87,theory(equality)])).
% cnf(566,plain,(sdtasdt0(X1,X2)=sdtasdt0(sz10,sdtasdt0(X1,X2))|~aNaturalNumber0(X2)|~aNaturalNumber0(X1)|~aNaturalNumber0(sz10)),inference(spm,[status(thm)],[87,91,theory(equality)])).
% cnf(570,plain,(sdtasdt0(sdtasdt0(X2,X1),X3)=sdtasdt0(X1,sdtasdt0(X2,X3))|~aNaturalNumber0(X3)|~aNaturalNumber0(X2)|~aNaturalNumber0(X1)),inference(spm,[status(thm)],[87,84,theory(equality)])).
% cnf(576,plain,(sdtasdt0(sdtsldt0(xn,xr),sdtasdt0(xm,xr))=sdtasdt0(xn,xm)|$false|~aNaturalNumber0(xm)|~aNaturalNumber0(sdtsldt0(xn,xr))),inference(rw,[status(thm)],[563,242,theory(equality)])).
% cnf(577,plain,(sdtasdt0(sdtsldt0(xn,xr),sdtasdt0(xm,xr))=sdtasdt0(xn,xm)|$false|$false|~aNaturalNumber0(sdtsldt0(xn,xr))),inference(rw,[status(thm)],[576,221,theory(equality)])).
% cnf(578,plain,(sdtasdt0(sdtsldt0(xn,xr),sdtasdt0(xm,xr))=sdtasdt0(xn,xm)|~aNaturalNumber0(sdtsldt0(xn,xr))),inference(cn,[status(thm)],[577,theory(equality)])).
% cnf(583,plain,(sdtasdt0(X1,X2)=sdtasdt0(sz10,sdtasdt0(X1,X2))|~aNaturalNumber0(X2)|~aNaturalNumber0(X1)|$false),inference(rw,[status(thm)],[566,64,theory(equality)])).
% cnf(584,plain,(sdtasdt0(X1,X2)=sdtasdt0(sz10,sdtasdt0(X1,X2))|~aNaturalNumber0(X2)|~aNaturalNumber0(X1)),inference(cn,[status(thm)],[583,theory(equality)])).
% cnf(607,plain,(sz00=xn|sdtlseqdt0(xr,xn)|~aNaturalNumber0(xn)|~aNaturalNumber0(xr)),inference(spm,[status(thm)],[196,248,theory(equality)])).
% cnf(613,plain,(sz00=xn|sdtlseqdt0(xr,xn)|$false|~aNaturalNumber0(xr)),inference(rw,[status(thm)],[607,222,theory(equality)])).
% cnf(614,plain,(sz00=xn|sdtlseqdt0(xr,xn)|$false|$false),inference(rw,[status(thm)],[613,242,theory(equality)])).
% cnf(615,plain,(sz00=xn|sdtlseqdt0(xr,xn)),inference(cn,[status(thm)],[614,theory(equality)])).
% cnf(661,plain,(sdtpldt0(xn,esk1_2(xn,xp))=xp|~aNaturalNumber0(xn)|~aNaturalNumber0(xp)),inference(spm,[status(thm)],[127,232,theory(equality)])).
% cnf(675,plain,(sdtpldt0(xn,esk1_2(xn,xp))=xp|$false|~aNaturalNumber0(xp)),inference(rw,[status(thm)],[661,222,theory(equality)])).
% cnf(676,plain,(sdtpldt0(xn,esk1_2(xn,xp))=xp|$false|$false),inference(rw,[status(thm)],[675,220,theory(equality)])).
% cnf(677,plain,(sdtpldt0(xn,esk1_2(xn,xp))=xp),inference(cn,[status(thm)],[676,theory(equality)])).
% cnf(765,plain,(sz00=X1|aNaturalNumber0(sdtsldt0(X2,X1))|~doDivides0(X1,X2)|~aNaturalNumber0(X1)|~aNaturalNumber0(X2)),inference(er,[status(thm)],[184,theory(equality)])).
% cnf(766,plain,(sz00=xp|aNaturalNumber0(X1)|xk!=X1|~doDivides0(xp,sdtasdt0(xn,xm))|~aNaturalNumber0(xp)|~aNaturalNumber0(sdtasdt0(xn,xm))),inference(spm,[status(thm)],[184,234,theory(equality)])).
% cnf(767,plain,(sz00=xp|aNaturalNumber0(X1)|xk!=X1|$false|~aNaturalNumber0(xp)|~aNaturalNumber0(sdtasdt0(xn,xm))),inference(rw,[status(thm)],[766,226,theory(equality)])).
% cnf(768,plain,(sz00=xp|aNaturalNumber0(X1)|xk!=X1|$false|$false|~aNaturalNumber0(sdtasdt0(xn,xm))),inference(rw,[status(thm)],[767,220,theory(equality)])).
% cnf(769,plain,(sz00=xp|aNaturalNumber0(X1)|xk!=X1|~aNaturalNumber0(sdtasdt0(xn,xm))),inference(cn,[status(thm)],[768,theory(equality)])).
% cnf(770,plain,(sdtasdt0(X1,sdtsldt0(X2,X1))=X2|sz00=X1|~doDivides0(X1,X2)|~aNaturalNumber0(X1)|~aNaturalNumber0(X2)),inference(er,[status(thm)],[183,theory(equality)])).
% cnf(771,plain,(sdtasdt0(xp,X1)=sdtasdt0(xn,xm)|sz00=xp|xk!=X1|~doDivides0(xp,sdtasdt0(xn,xm))|~aNaturalNumber0(xp)|~aNaturalNumber0(sdtasdt0(xn,xm))),inference(spm,[status(thm)],[183,234,theory(equality)])).
% cnf(772,plain,(sdtasdt0(xp,X1)=sdtasdt0(xn,xm)|sz00=xp|xk!=X1|$false|~aNaturalNumber0(xp)|~aNaturalNumber0(sdtasdt0(xn,xm))),inference(rw,[status(thm)],[771,226,theory(equality)])).
% cnf(773,plain,(sdtasdt0(xp,X1)=sdtasdt0(xn,xm)|sz00=xp|xk!=X1|$false|$false|~aNaturalNumber0(sdtasdt0(xn,xm))),inference(rw,[status(thm)],[772,220,theory(equality)])).
% cnf(774,plain,(sdtasdt0(xp,X1)=sdtasdt0(xn,xm)|sz00=xp|xk!=X1|~aNaturalNumber0(sdtasdt0(xn,xm))),inference(cn,[status(thm)],[773,theory(equality)])).
% cnf(885,plain,(sdtlseqdt0(X1,xp)|~sdtlseqdt0(X1,xn)|~aNaturalNumber0(xn)|~aNaturalNumber0(xp)|~aNaturalNumber0(X1)),inference(spm,[status(thm)],[138,232,theory(equality)])).
% cnf(899,plain,(sdtlseqdt0(X1,xp)|~sdtlseqdt0(X1,xn)|$false|~aNaturalNumber0(xp)|~aNaturalNumber0(X1)),inference(rw,[status(thm)],[885,222,theory(equality)])).
% cnf(900,plain,(sdtlseqdt0(X1,xp)|~sdtlseqdt0(X1,xn)|$false|$false|~aNaturalNumber0(X1)),inference(rw,[status(thm)],[899,220,theory(equality)])).
% cnf(901,plain,(sdtlseqdt0(X1,xp)|~sdtlseqdt0(X1,xn)|~aNaturalNumber0(X1)),inference(cn,[status(thm)],[900,theory(equality)])).
% cnf(936,plain,(sdtsldt0(X1,X2)=X3|sz00=X2|sdtasdt0(X2,X3)!=X1|~aNaturalNumber0(X3)|~aNaturalNumber0(X2)|~aNaturalNumber0(X1)),inference(csr,[status(thm)],[182,177])).
% cnf(937,plain,(sdtsldt0(sdtasdt0(X1,X2),X1)=X2|sz00=X1|~aNaturalNumber0(X2)|~aNaturalNumber0(X1)|~aNaturalNumber0(sdtasdt0(X1,X2))),inference(er,[status(thm)],[936,theory(equality)])).
% cnf(990,plain,(doDivides0(X1,X2)|~doDivides0(X1,sdtpldt0(X2,X3))|~doDivides0(X1,X3)|~aNaturalNumber0(X3)|~aNaturalNumber0(X2)|~aNaturalNumber0(X1)),inference(spm,[status(thm)],[193,73,theory(equality)])).
% cnf(1000,plain,(sdtsldt0(sdtasdt0(X1,xk),xr)=sdtasdt0(X1,sdtsldt0(xk,xr))|sz00=xr|~aNaturalNumber0(X1)|~aNaturalNumber0(xr)|~aNaturalNumber0(xk)),inference(spm,[status(thm)],[200,241,theory(equality)])).
% cnf(1001,plain,(sdtsldt0(sdtasdt0(X1,xn),xr)=sdtasdt0(X1,sdtsldt0(xn,xr))|sz00=xr|~aNaturalNumber0(X1)|~aNaturalNumber0(xr)|~aNaturalNumber0(xn)),inference(spm,[status(thm)],[200,248,theory(equality)])).
% cnf(1003,plain,(sdtsldt0(sdtasdt0(X1,sdtasdt0(xn,xm)),xp)=sdtasdt0(X1,sdtsldt0(sdtasdt0(xn,xm),xp))|sz00=xp|~aNaturalNumber0(X1)|~aNaturalNumber0(xp)|~aNaturalNumber0(sdtasdt0(xn,xm))),inference(spm,[status(thm)],[200,226,theory(equality)])).
% cnf(1004,plain,(sdtsldt0(sdtasdt0(X1,xk),xr)=sdtasdt0(X1,sdtsldt0(xk,xr))|sz00=xr|~aNaturalNumber0(X1)|$false|~aNaturalNumber0(xk)),inference(rw,[status(thm)],[1000,242,theory(equality)])).
% cnf(1005,plain,(sdtsldt0(sdtasdt0(X1,xk),xr)=sdtasdt0(X1,sdtsldt0(xk,xr))|sz00=xr|~aNaturalNumber0(X1)|~aNaturalNumber0(xk)),inference(cn,[status(thm)],[1004,theory(equality)])).
% cnf(1006,plain,(sdtsldt0(sdtasdt0(X1,xn),xr)=sdtasdt0(X1,sdtsldt0(xn,xr))|sz00=xr|~aNaturalNumber0(X1)|$false|~aNaturalNumber0(xn)),inference(rw,[status(thm)],[1001,242,theory(equality)])).
% cnf(1007,plain,(sdtsldt0(sdtasdt0(X1,xn),xr)=sdtasdt0(X1,sdtsldt0(xn,xr))|sz00=xr|~aNaturalNumber0(X1)|$false|$false),inference(rw,[status(thm)],[1006,222,theory(equality)])).
% cnf(1008,plain,(sdtsldt0(sdtasdt0(X1,xn),xr)=sdtasdt0(X1,sdtsldt0(xn,xr))|sz00=xr|~aNaturalNumber0(X1)),inference(cn,[status(thm)],[1007,theory(equality)])).
% cnf(1011,plain,(sdtsldt0(sdtasdt0(X1,sdtasdt0(xn,xm)),xp)=sdtasdt0(X1,xk)|sz00=xp|~aNaturalNumber0(X1)|~aNaturalNumber0(xp)|~aNaturalNumber0(sdtasdt0(xn,xm))),inference(rw,[status(thm)],[1003,234,theory(equality)])).
% cnf(1012,plain,(sdtsldt0(sdtasdt0(X1,sdtasdt0(xn,xm)),xp)=sdtasdt0(X1,xk)|sz00=xp|~aNaturalNumber0(X1)|$false|~aNaturalNumber0(sdtasdt0(xn,xm))),inference(rw,[status(thm)],[1011,220,theory(equality)])).
% cnf(1013,plain,(sdtsldt0(sdtasdt0(X1,sdtasdt0(xn,xm)),xp)=sdtasdt0(X1,xk)|sz00=xp|~aNaturalNumber0(X1)|~aNaturalNumber0(sdtasdt0(xn,xm))),inference(cn,[status(thm)],[1012,theory(equality)])).
% cnf(1017,plain,(doDivides0(xr,sdtpldt0(X1,xn))|~doDivides0(xr,X1)|~aNaturalNumber0(xn)|~aNaturalNumber0(X1)|~aNaturalNumber0(xr)),inference(spm,[status(thm)],[190,248,theory(equality)])).
% cnf(1019,plain,(doDivides0(xp,sdtpldt0(X1,sdtasdt0(xn,xm)))|~doDivides0(xp,X1)|~aNaturalNumber0(sdtasdt0(xn,xm))|~aNaturalNumber0(X1)|~aNaturalNumber0(xp)),inference(spm,[status(thm)],[190,226,theory(equality)])).
% cnf(1022,plain,(doDivides0(xr,sdtpldt0(X1,xn))|~doDivides0(xr,X1)|$false|~aNaturalNumber0(X1)|~aNaturalNumber0(xr)),inference(rw,[status(thm)],[1017,222,theory(equality)])).
% cnf(1023,plain,(doDivides0(xr,sdtpldt0(X1,xn))|~doDivides0(xr,X1)|$false|~aNaturalNumber0(X1)|$false),inference(rw,[status(thm)],[1022,242,theory(equality)])).
% cnf(1024,plain,(doDivides0(xr,sdtpldt0(X1,xn))|~doDivides0(xr,X1)|~aNaturalNumber0(X1)),inference(cn,[status(thm)],[1023,theory(equality)])).
% cnf(1027,plain,(doDivides0(xp,sdtpldt0(X1,sdtasdt0(xn,xm)))|~doDivides0(xp,X1)|~aNaturalNumber0(sdtasdt0(xn,xm))|~aNaturalNumber0(X1)|$false),inference(rw,[status(thm)],[1019,220,theory(equality)])).
% cnf(1028,plain,(doDivides0(xp,sdtpldt0(X1,sdtasdt0(xn,xm)))|~doDivides0(xp,X1)|~aNaturalNumber0(sdtasdt0(xn,xm))|~aNaturalNumber0(X1)),inference(cn,[status(thm)],[1027,theory(equality)])).
% cnf(1174,plain,(sz00=esk2_2(xr,xn)|sdtlseqdt0(xr,xn)|~aNaturalNumber0(esk2_2(xr,xn))|~aNaturalNumber0(xr)),inference(spm,[status(thm)],[166,475,theory(equality)])).
% cnf(1190,plain,(sz00=esk2_2(xr,xn)|sdtlseqdt0(xr,xn)|~aNaturalNumber0(esk2_2(xr,xn))|$false),inference(rw,[status(thm)],[1174,242,theory(equality)])).
% cnf(1191,plain,(sz00=esk2_2(xr,xn)|sdtlseqdt0(xr,xn)|~aNaturalNumber0(esk2_2(xr,xn))),inference(cn,[status(thm)],[1190,theory(equality)])).
% cnf(1254,plain,(sz00=xn|xp!=sz00|~aNaturalNumber0(xn)|~aNaturalNumber0(esk1_2(xn,xp))),inference(spm,[status(thm)],[118,677,theory(equality)])).
% cnf(1266,plain,(sz00=xn|xp!=sz00|$false|~aNaturalNumber0(esk1_2(xn,xp))),inference(rw,[status(thm)],[1254,222,theory(equality)])).
% cnf(1267,plain,(sz00=xn|xp!=sz00|~aNaturalNumber0(esk1_2(xn,xp))),inference(cn,[status(thm)],[1266,theory(equality)])).
% cnf(1325,plain,(sdtasdt0(xr,sdtasdt0(sdtsldt0(xn,xr),xm))=sdtasdt0(xn,xm)|~aNaturalNumber0(xm)|~aNaturalNumber0(sdtsldt0(xn,xr))),inference(spm,[status(thm)],[317,70,theory(equality)])).
% cnf(1330,plain,(sdtasdt0(xr,sdtasdt0(sdtsldt0(xn,xr),xm))=sdtasdt0(xn,xm)|$false|~aNaturalNumber0(sdtsldt0(xn,xr))),inference(rw,[status(thm)],[1325,221,theory(equality)])).
% cnf(1331,plain,(sdtasdt0(xr,sdtasdt0(sdtsldt0(xn,xr),xm))=sdtasdt0(xn,xm)|~aNaturalNumber0(sdtsldt0(xn,xr))),inference(cn,[status(thm)],[1330,theory(equality)])).
% cnf(1375,plain,(sdtasdt0(xr,esk2_2(xr,sdtasdt0(xn,xm)))=sdtasdt0(xn,xm)|~aNaturalNumber0(xm)|~aNaturalNumber0(xn)),inference(spm,[status(thm)],[477,70,theory(equality)])).
% cnf(1376,plain,(sdtasdt0(xr,esk2_2(xr,sdtasdt0(xn,xm)))=sdtasdt0(xn,xm)|$false|~aNaturalNumber0(xn)),inference(rw,[status(thm)],[1375,221,theory(equality)])).
% cnf(1377,plain,(sdtasdt0(xr,esk2_2(xr,sdtasdt0(xn,xm)))=sdtasdt0(xn,xm)|$false|$false),inference(rw,[status(thm)],[1376,222,theory(equality)])).
% cnf(1378,plain,(sdtasdt0(xr,esk2_2(xr,sdtasdt0(xn,xm)))=sdtasdt0(xn,xm)),inference(cn,[status(thm)],[1377,theory(equality)])).
% cnf(1382,plain,(aNaturalNumber0(sdtasdt0(xn,xm))|~aNaturalNumber0(esk2_2(xr,sdtasdt0(xn,xm)))|~aNaturalNumber0(xr)),inference(spm,[status(thm)],[70,1378,theory(equality)])).
% cnf(1401,plain,(aNaturalNumber0(sdtasdt0(xn,xm))|~aNaturalNumber0(esk2_2(xr,sdtasdt0(xn,xm)))|$false),inference(rw,[status(thm)],[1382,242,theory(equality)])).
% cnf(1402,plain,(aNaturalNumber0(sdtasdt0(xn,xm))|~aNaturalNumber0(esk2_2(xr,sdtasdt0(xn,xm)))),inference(cn,[status(thm)],[1401,theory(equality)])).
% cnf(1477,plain,(xn=sz00|xp!=sz00|$false),inference(rw,[status(thm)],[1267,447,theory(equality)])).
% cnf(1478,plain,(xn=sz00|xp!=sz00),inference(cn,[status(thm)],[1477,theory(equality)])).
% cnf(1567,plain,(sdtasdt0(xp,X1)=sdtasdt0(xn,xm)|xp=sz00|xk!=X1|~aNaturalNumber0(xm)|~aNaturalNumber0(xn)),inference(spm,[status(thm)],[774,70,theory(equality)])).
% cnf(1568,plain,(sdtasdt0(xp,X1)=sdtasdt0(xn,xm)|xp=sz00|xk!=X1|$false|~aNaturalNumber0(xn)),inference(rw,[status(thm)],[1567,221,theory(equality)])).
% cnf(1569,plain,(sdtasdt0(xp,X1)=sdtasdt0(xn,xm)|xp=sz00|xk!=X1|$false|$false),inference(rw,[status(thm)],[1568,222,theory(equality)])).
% cnf(1570,plain,(sdtasdt0(xp,X1)=sdtasdt0(xn,xm)|xp=sz00|xk!=X1),inference(cn,[status(thm)],[1569,theory(equality)])).
% cnf(1571,plain,(sdtasdt0(xp,xk)=sdtasdt0(xn,xm)|xp=sz00),inference(er,[status(thm)],[1570,theory(equality)])).
% cnf(1577,plain,(sdtasdt0(sdtasdt0(xn,xm),X1)=sdtasdt0(xp,sdtasdt0(xk,X1))|xp=sz00|~aNaturalNumber0(X1)|~aNaturalNumber0(xk)|~aNaturalNumber0(xp)),inference(spm,[status(thm)],[87,1571,theory(equality)])).
% cnf(1603,plain,(sdtasdt0(sdtasdt0(xn,xm),X1)=sdtasdt0(xp,sdtasdt0(xk,X1))|xp=sz00|~aNaturalNumber0(X1)|~aNaturalNumber0(xk)|$false),inference(rw,[status(thm)],[1577,220,theory(equality)])).
% cnf(1604,plain,(sdtasdt0(sdtasdt0(xn,xm),X1)=sdtasdt0(xp,sdtasdt0(xk,X1))|xp=sz00|~aNaturalNumber0(X1)|~aNaturalNumber0(xk)),inference(cn,[status(thm)],[1603,theory(equality)])).
% cnf(1701,plain,(aNaturalNumber0(esk2_2(xr,sdtasdt0(xn,xm)))|~aNaturalNumber0(xm)|~aNaturalNumber0(xn)),inference(spm,[status(thm)],[463,70,theory(equality)])).
% cnf(1702,plain,(aNaturalNumber0(esk2_2(xr,sdtasdt0(xn,xm)))|$false|~aNaturalNumber0(xn)),inference(rw,[status(thm)],[1701,221,theory(equality)])).
% cnf(1703,plain,(aNaturalNumber0(esk2_2(xr,sdtasdt0(xn,xm)))|$false|$false),inference(rw,[status(thm)],[1702,222,theory(equality)])).
% cnf(1704,plain,(aNaturalNumber0(esk2_2(xr,sdtasdt0(xn,xm)))),inference(cn,[status(thm)],[1703,theory(equality)])).
% cnf(1705,plain,(aNaturalNumber0(sdtasdt0(xn,xm))|$false),inference(rw,[status(thm)],[1402,1704,theory(equality)])).
% cnf(1706,plain,(aNaturalNumber0(sdtasdt0(xn,xm))),inference(cn,[status(thm)],[1705,theory(equality)])).
% cnf(1737,plain,(sdtsldt0(sdtasdt0(xn,X1),xr)=sdtasdt0(X1,sdtsldt0(xn,xr))|xr=sz00|~aNaturalNumber0(X1)|~aNaturalNumber0(xn)),inference(spm,[status(thm)],[1008,84,theory(equality)])).
% cnf(1751,plain,(sdtsldt0(sdtasdt0(xn,X1),xr)=sdtasdt0(X1,sdtsldt0(xn,xr))|xr=sz00|~aNaturalNumber0(X1)|$false),inference(rw,[status(thm)],[1737,222,theory(equality)])).
% cnf(1752,plain,(sdtsldt0(sdtasdt0(xn,X1),xr)=sdtasdt0(X1,sdtsldt0(xn,xr))|xr=sz00|~aNaturalNumber0(X1)),inference(cn,[status(thm)],[1751,theory(equality)])).
% cnf(1998,plain,(esk2_2(xr,xn)=sz00|sdtlseqdt0(xr,xn)|$false),inference(rw,[status(thm)],[1191,461,theory(equality)])).
% cnf(1999,plain,(esk2_2(xr,xn)=sz00|sdtlseqdt0(xr,xn)),inference(cn,[status(thm)],[1998,theory(equality)])).
% cnf(2290,plain,(sdtsldt0(sdtasdt0(X1,X2),X2)=sdtasdt0(X1,sdtsldt0(X2,X2))|sz00=X2|~aNaturalNumber0(X1)|~aNaturalNumber0(X2)),inference(spm,[status(thm)],[200,550,theory(equality)])).
% cnf(4864,plain,(sdtsldt0(sdtasdt0(X1,sdtasdt0(xn,xm)),xp)=sdtasdt0(X1,xk)|xp=sz00|~aNaturalNumber0(X1)|$false),inference(rw,[status(thm)],[1013,1706,theory(equality)])).
% cnf(4865,plain,(sdtsldt0(sdtasdt0(X1,sdtasdt0(xn,xm)),xp)=sdtasdt0(X1,xk)|xp=sz00|~aNaturalNumber0(X1)),inference(cn,[status(thm)],[4864,theory(equality)])).
% cnf(4872,plain,(sdtsldt0(sdtasdt0(sdtasdt0(xn,xm),X1),xp)=sdtasdt0(X1,xk)|xp=sz00|~aNaturalNumber0(X1)|~aNaturalNumber0(sdtasdt0(xn,xm))),inference(spm,[status(thm)],[4865,84,theory(equality)])).
% cnf(4891,plain,(sdtsldt0(sdtasdt0(sdtasdt0(xn,xm),X1),xp)=sdtasdt0(X1,xk)|xp=sz00|~aNaturalNumber0(X1)|$false),inference(rw,[status(thm)],[4872,1706,theory(equality)])).
% cnf(4892,plain,(sdtsldt0(sdtasdt0(sdtasdt0(xn,xm),X1),xp)=sdtasdt0(X1,xk)|xp=sz00|~aNaturalNumber0(X1)),inference(cn,[status(thm)],[4891,theory(equality)])).
% cnf(4976,plain,(sdtsldt0(sdtasdt0(xn,sdtasdt0(xm,X1)),xp)=sdtasdt0(X1,xk)|xp=sz00|~aNaturalNumber0(X1)|~aNaturalNumber0(xm)|~aNaturalNumber0(xn)),inference(spm,[status(thm)],[4892,87,theory(equality)])).
% cnf(4992,plain,(sdtsldt0(sdtasdt0(xn,sdtasdt0(xm,X1)),xp)=sdtasdt0(X1,xk)|xp=sz00|~aNaturalNumber0(X1)|$false|~aNaturalNumber0(xn)),inference(rw,[status(thm)],[4976,221,theory(equality)])).
% cnf(4993,plain,(sdtsldt0(sdtasdt0(xn,sdtasdt0(xm,X1)),xp)=sdtasdt0(X1,xk)|xp=sz00|~aNaturalNumber0(X1)|$false|$false),inference(rw,[status(thm)],[4992,222,theory(equality)])).
% cnf(4994,plain,(sdtsldt0(sdtasdt0(xn,sdtasdt0(xm,X1)),xp)=sdtasdt0(X1,xk)|xp=sz00|~aNaturalNumber0(X1)),inference(cn,[status(thm)],[4993,theory(equality)])).
% cnf(5066,plain,(xp=sz00|aNaturalNumber0(X1)|xk!=X1|$false),inference(rw,[status(thm)],[769,1706,theory(equality)])).
% cnf(5067,plain,(xp=sz00|aNaturalNumber0(X1)|xk!=X1),inference(cn,[status(thm)],[5066,theory(equality)])).
% cnf(5068,plain,(xp=sz00|aNaturalNumber0(xk)),inference(er,[status(thm)],[5067,theory(equality)])).
% cnf(5080,plain,(sdtsldt0(sdtasdt0(X1,xk),xr)=sdtasdt0(X1,sdtsldt0(xk,xr))|xr=sz00|xp=sz00|~aNaturalNumber0(X1)),inference(spm,[status(thm)],[1005,5068,theory(equality)])).
% cnf(5084,plain,(sdtasdt0(sdtasdt0(xn,xm),X1)=sdtasdt0(xp,sdtasdt0(xk,X1))|xp=sz00|~aNaturalNumber0(X1)),inference(spm,[status(thm)],[1604,5068,theory(equality)])).
% cnf(5899,plain,(sdtsldt0(sdtasdt0(xp,sdtasdt0(xk,sdtasdt0(xn,xm))),xp)=sdtasdt0(sdtasdt0(xn,xm),xk)|xp=sz00|~aNaturalNumber0(sdtasdt0(xn,xm))),inference(spm,[status(thm)],[4865,5084,theory(equality)])).
% cnf(5900,plain,(sdtasdt0(xp,sdtasdt0(xk,sz10))=sdtasdt0(xn,xm)|xp=sz00|~aNaturalNumber0(sdtasdt0(xn,xm))|~aNaturalNumber0(sz10)),inference(spm,[status(thm)],[92,5084,theory(equality)])).
% cnf(5948,plain,(sdtsldt0(sdtasdt0(xp,sdtasdt0(xk,sdtasdt0(xn,xm))),xp)=sdtasdt0(sdtasdt0(xn,xm),xk)|xp=sz00|$false),inference(rw,[status(thm)],[5899,1706,theory(equality)])).
% cnf(5949,plain,(sdtsldt0(sdtasdt0(xp,sdtasdt0(xk,sdtasdt0(xn,xm))),xp)=sdtasdt0(sdtasdt0(xn,xm),xk)|xp=sz00),inference(cn,[status(thm)],[5948,theory(equality)])).
% cnf(5950,plain,(sdtasdt0(xp,sdtasdt0(xk,sz10))=sdtasdt0(xn,xm)|xp=sz00|$false|~aNaturalNumber0(sz10)),inference(rw,[status(thm)],[5900,1706,theory(equality)])).
% cnf(5951,plain,(sdtasdt0(xp,sdtasdt0(xk,sz10))=sdtasdt0(xn,xm)|xp=sz00|$false|$false),inference(rw,[status(thm)],[5950,64,theory(equality)])).
% cnf(5952,plain,(sdtasdt0(xp,sdtasdt0(xk,sz10))=sdtasdt0(xn,xm)|xp=sz00),inference(cn,[status(thm)],[5951,theory(equality)])).
% cnf(6195,plain,(sdtasdt0(xp,sdtasdt0(sz10,xk))=sdtasdt0(xn,xm)|xp=sz00|~aNaturalNumber0(xk)|~aNaturalNumber0(sz10)),inference(spm,[status(thm)],[5952,84,theory(equality)])).
% cnf(6240,plain,(sdtasdt0(xp,sdtasdt0(sz10,xk))=sdtasdt0(xn,xm)|xp=sz00|~aNaturalNumber0(xk)|$false),inference(rw,[status(thm)],[6195,64,theory(equality)])).
% cnf(6241,plain,(sdtasdt0(xp,sdtasdt0(sz10,xk))=sdtasdt0(xn,xm)|xp=sz00|~aNaturalNumber0(xk)),inference(cn,[status(thm)],[6240,theory(equality)])).
% cnf(7007,plain,(sdtasdt0(X1,sdtasdt0(X2,X3))=sdtasdt0(X2,sdtasdt0(X3,X1))|~aNaturalNumber0(X1)|~aNaturalNumber0(X3)|~aNaturalNumber0(X2)),inference(csr,[status(thm)],[557,70])).
% cnf(7061,plain,(sdtsldt0(sdtasdt0(xp,sdtasdt0(xn,sdtasdt0(xm,xk))),xp)=sdtasdt0(sdtasdt0(xn,xm),xk)|xp=sz00|~aNaturalNumber0(xk)|~aNaturalNumber0(xm)|~aNaturalNumber0(xn)),inference(spm,[status(thm)],[5949,7007,theory(equality)])).
% cnf(7242,plain,(sdtsldt0(sdtasdt0(xp,sdtasdt0(xn,sdtasdt0(xm,xk))),xp)=sdtasdt0(sdtasdt0(xn,xm),xk)|xp=sz00|~aNaturalNumber0(xk)|$false|~aNaturalNumber0(xn)),inference(rw,[status(thm)],[7061,221,theory(equality)])).
% cnf(7243,plain,(sdtsldt0(sdtasdt0(xp,sdtasdt0(xn,sdtasdt0(xm,xk))),xp)=sdtasdt0(sdtasdt0(xn,xm),xk)|xp=sz00|~aNaturalNumber0(xk)|$false|$false),inference(rw,[status(thm)],[7242,222,theory(equality)])).
% cnf(7244,plain,(sdtsldt0(sdtasdt0(xp,sdtasdt0(xn,sdtasdt0(xm,xk))),xp)=sdtasdt0(sdtasdt0(xn,xm),xk)|xp=sz00|~aNaturalNumber0(xk)),inference(cn,[status(thm)],[7243,theory(equality)])).
% cnf(7941,plain,(sdtsldt0(sdtasdt0(xp,sdtasdt0(xn,sdtasdt0(xm,xk))),xp)=sdtasdt0(sdtasdt0(xn,xm),xk)|xp=sz00),inference(csr,[status(thm)],[7244,5068])).
% cnf(7944,plain,(sdtsldt0(sdtasdt0(xn,sdtasdt0(sdtasdt0(xm,xk),xp)),xp)=sdtasdt0(sdtasdt0(xn,xm),xk)|xp=sz00|~aNaturalNumber0(xp)|~aNaturalNumber0(sdtasdt0(xm,xk))|~aNaturalNumber0(xn)),inference(spm,[status(thm)],[7941,7007,theory(equality)])).
% cnf(7949,plain,(sdtsldt0(sdtasdt0(xn,sdtasdt0(sdtasdt0(xm,xk),xp)),xp)=sdtasdt0(sdtasdt0(xn,xm),xk)|xp=sz00|$false|~aNaturalNumber0(sdtasdt0(xm,xk))|~aNaturalNumber0(xn)),inference(rw,[status(thm)],[7944,220,theory(equality)])).
% cnf(7950,plain,(sdtsldt0(sdtasdt0(xn,sdtasdt0(sdtasdt0(xm,xk),xp)),xp)=sdtasdt0(sdtasdt0(xn,xm),xk)|xp=sz00|$false|~aNaturalNumber0(sdtasdt0(xm,xk))|$false),inference(rw,[status(thm)],[7949,222,theory(equality)])).
% cnf(7951,plain,(sdtsldt0(sdtasdt0(xn,sdtasdt0(sdtasdt0(xm,xk),xp)),xp)=sdtasdt0(sdtasdt0(xn,xm),xk)|xp=sz00|~aNaturalNumber0(sdtasdt0(xm,xk))),inference(cn,[status(thm)],[7950,theory(equality)])).
% cnf(8330,plain,(sdtsldt0(sdtasdt0(xn,sdtasdt0(sdtasdt0(xm,xk),xp)),xp)=sdtasdt0(sdtasdt0(xn,xm),xk)|xp=sz00|~aNaturalNumber0(xk)|~aNaturalNumber0(xm)),inference(spm,[status(thm)],[7951,70,theory(equality)])).
% cnf(8331,plain,(sdtsldt0(sdtasdt0(xn,sdtasdt0(sdtasdt0(xm,xk),xp)),xp)=sdtasdt0(sdtasdt0(xn,xm),xk)|xp=sz00|~aNaturalNumber0(xk)|$false),inference(rw,[status(thm)],[8330,221,theory(equality)])).
% cnf(8332,plain,(sdtsldt0(sdtasdt0(xn,sdtasdt0(sdtasdt0(xm,xk),xp)),xp)=sdtasdt0(sdtasdt0(xn,xm),xk)|xp=sz00|~aNaturalNumber0(xk)),inference(cn,[status(thm)],[8331,theory(equality)])).
% cnf(8333,plain,(sdtsldt0(sdtasdt0(xn,sdtasdt0(sdtasdt0(xm,xk),xp)),xp)=sdtasdt0(sdtasdt0(xn,xm),xk)|xp=sz00),inference(csr,[status(thm)],[8332,5068])).
% cnf(8338,plain,(sdtsldt0(sdtasdt0(xn,sdtasdt0(xm,sdtasdt0(xk,xp))),xp)=sdtasdt0(sdtasdt0(xn,xm),xk)|xp=sz00|~aNaturalNumber0(xp)|~aNaturalNumber0(xk)|~aNaturalNumber0(xm)),inference(spm,[status(thm)],[8333,87,theory(equality)])).
% cnf(8347,plain,(sdtsldt0(sdtasdt0(xn,sdtasdt0(xm,sdtasdt0(xk,xp))),xp)=sdtasdt0(sdtasdt0(xn,xm),xk)|xp=sz00|$false|~aNaturalNumber0(xk)|~aNaturalNumber0(xm)),inference(rw,[status(thm)],[8338,220,theory(equality)])).
% cnf(8348,plain,(sdtsldt0(sdtasdt0(xn,sdtasdt0(xm,sdtasdt0(xk,xp))),xp)=sdtasdt0(sdtasdt0(xn,xm),xk)|xp=sz00|$false|~aNaturalNumber0(xk)|$false),inference(rw,[status(thm)],[8347,221,theory(equality)])).
% cnf(8349,plain,(sdtsldt0(sdtasdt0(xn,sdtasdt0(xm,sdtasdt0(xk,xp))),xp)=sdtasdt0(sdtasdt0(xn,xm),xk)|xp=sz00|~aNaturalNumber0(xk)),inference(cn,[status(thm)],[8348,theory(equality)])).
% cnf(8350,plain,(sdtsldt0(sdtasdt0(xn,sdtasdt0(xm,sdtasdt0(xk,xp))),xp)=sdtasdt0(sdtasdt0(xn,xm),xk)|xp=sz00),inference(csr,[status(thm)],[8349,5068])).
% cnf(8353,plain,(sdtasdt0(sdtasdt0(xn,xm),xk)=sdtasdt0(sdtasdt0(xk,xp),xk)|xp=sz00|~aNaturalNumber0(sdtasdt0(xk,xp))),inference(spm,[status(thm)],[4994,8350,theory(equality)])).
% cnf(8524,plain,(sdtasdt0(sdtasdt0(xk,xp),xk)=sdtasdt0(sdtasdt0(xn,xm),xk)|xp=sz00|~aNaturalNumber0(xp)|~aNaturalNumber0(xk)),inference(spm,[status(thm)],[8353,70,theory(equality)])).
% cnf(8529,plain,(sdtasdt0(sdtasdt0(xk,xp),xk)=sdtasdt0(sdtasdt0(xn,xm),xk)|xp=sz00|$false|~aNaturalNumber0(xk)),inference(rw,[status(thm)],[8524,220,theory(equality)])).
% cnf(8530,plain,(sdtasdt0(sdtasdt0(xk,xp),xk)=sdtasdt0(sdtasdt0(xn,xm),xk)|xp=sz00|~aNaturalNumber0(xk)),inference(cn,[status(thm)],[8529,theory(equality)])).
% cnf(8531,plain,(sdtasdt0(sdtasdt0(xk,xp),xk)=sdtasdt0(sdtasdt0(xn,xm),xk)|xp=sz00),inference(csr,[status(thm)],[8530,5068])).
% cnf(8564,plain,(sdtasdt0(sdtasdt0(xn,xm),xk)=sdtasdt0(xk,sdtasdt0(xp,xk))|xp=sz00|~aNaturalNumber0(xk)|~aNaturalNumber0(xp)),inference(spm,[status(thm)],[87,8531,theory(equality)])).
% cnf(8575,plain,(sdtasdt0(sdtasdt0(xn,xm),xk)=sdtasdt0(xk,sdtasdt0(xp,xk))|xp=sz00|~aNaturalNumber0(xk)|$false),inference(rw,[status(thm)],[8564,220,theory(equality)])).
% cnf(8576,plain,(sdtasdt0(sdtasdt0(xn,xm),xk)=sdtasdt0(xk,sdtasdt0(xp,xk))|xp=sz00|~aNaturalNumber0(xk)),inference(cn,[status(thm)],[8575,theory(equality)])).
% cnf(9283,plain,(sdtasdt0(sdtasdt0(xn,xm),xk)=sdtasdt0(xk,sdtasdt0(xp,xk))|xp=sz00),inference(csr,[status(thm)],[8576,5068])).
% cnf(9285,plain,(sdtasdt0(xk,sdtasdt0(xn,xm))=sdtasdt0(xk,sdtasdt0(xp,xk))|xp=sz00|~aNaturalNumber0(sdtasdt0(xn,xm))|~aNaturalNumber0(xk)),inference(spm,[status(thm)],[84,9283,theory(equality)])).
% cnf(9318,plain,(sdtasdt0(xk,sdtasdt0(xp,xk))=sdtasdt0(xn,sdtasdt0(xm,xk))|xp=sz00|~aNaturalNumber0(xk)|~aNaturalNumber0(xm)|~aNaturalNumber0(xn)),inference(spm,[status(thm)],[87,9283,theory(equality)])).
% cnf(9325,plain,(sdtasdt0(xk,sdtasdt0(xn,xm))=sdtasdt0(xk,sdtasdt0(xp,xk))|xp=sz00|$false|~aNaturalNumber0(xk)),inference(rw,[status(thm)],[9285,1706,theory(equality)])).
% cnf(9326,plain,(sdtasdt0(xk,sdtasdt0(xn,xm))=sdtasdt0(xk,sdtasdt0(xp,xk))|xp=sz00|~aNaturalNumber0(xk)),inference(cn,[status(thm)],[9325,theory(equality)])).
% cnf(9398,plain,(sdtasdt0(xk,sdtasdt0(xp,xk))=sdtasdt0(xn,sdtasdt0(xm,xk))|xp=sz00|~aNaturalNumber0(xk)|$false|~aNaturalNumber0(xn)),inference(rw,[status(thm)],[9318,221,theory(equality)])).
% cnf(9399,plain,(sdtasdt0(xk,sdtasdt0(xp,xk))=sdtasdt0(xn,sdtasdt0(xm,xk))|xp=sz00|~aNaturalNumber0(xk)|$false|$false),inference(rw,[status(thm)],[9398,222,theory(equality)])).
% cnf(9400,plain,(sdtasdt0(xk,sdtasdt0(xp,xk))=sdtasdt0(xn,sdtasdt0(xm,xk))|xp=sz00|~aNaturalNumber0(xk)),inference(cn,[status(thm)],[9399,theory(equality)])).
% cnf(9854,plain,(sdtasdt0(xm,sdtasdt0(xn,xk))=sdtasdt0(xk,sdtasdt0(xp,xk))|xp=sz00|~aNaturalNumber0(xk)|~aNaturalNumber0(xn)|~aNaturalNumber0(xm)),inference(spm,[status(thm)],[9283,570,theory(equality)])).
% cnf(9944,plain,(sdtasdt0(xm,sdtasdt0(xn,xk))=sdtasdt0(xk,sdtasdt0(xp,xk))|xp=sz00|~aNaturalNumber0(xk)|$false|~aNaturalNumber0(xm)),inference(rw,[status(thm)],[9854,222,theory(equality)])).
% cnf(9945,plain,(sdtasdt0(xm,sdtasdt0(xn,xk))=sdtasdt0(xk,sdtasdt0(xp,xk))|xp=sz00|~aNaturalNumber0(xk)|$false|$false),inference(rw,[status(thm)],[9944,221,theory(equality)])).
% cnf(9946,plain,(sdtasdt0(xm,sdtasdt0(xn,xk))=sdtasdt0(xk,sdtasdt0(xp,xk))|xp=sz00|~aNaturalNumber0(xk)),inference(cn,[status(thm)],[9945,theory(equality)])).
% cnf(10042,plain,(sdtasdt0(xk,sdtasdt0(xp,xk))=sdtasdt0(xk,sdtasdt0(xn,xm))|xp=sz00),inference(csr,[status(thm)],[9326,5068])).
% cnf(10102,plain,(sdtasdt0(xk,sdtasdt0(xp,xk))=sdtasdt0(xn,sdtasdt0(xm,xk))|xp=sz00),inference(csr,[status(thm)],[9400,5068])).
% cnf(10140,plain,(sdtasdt0(xn,sdtasdt0(xm,xk))=sdtasdt0(xk,sdtasdt0(xn,xm))|xp=sz00),inference(spm,[status(thm)],[10042,10102,theory(equality)])).
% cnf(10197,plain,(sdtasdt0(xm,sdtasdt0(xk,xn))=sdtasdt0(xn,sdtasdt0(xm,xk))|xp=sz00|~aNaturalNumber0(xm)|~aNaturalNumber0(xn)|~aNaturalNumber0(xk)),inference(spm,[status(thm)],[7007,10140,theory(equality)])).
% cnf(10280,plain,(sdtasdt0(xm,sdtasdt0(xk,xn))=sdtasdt0(xn,sdtasdt0(xm,xk))|xp=sz00|$false|~aNaturalNumber0(xn)|~aNaturalNumber0(xk)),inference(rw,[status(thm)],[10197,221,theory(equality)])).
% cnf(10281,plain,(sdtasdt0(xm,sdtasdt0(xk,xn))=sdtasdt0(xn,sdtasdt0(xm,xk))|xp=sz00|$false|$false|~aNaturalNumber0(xk)),inference(rw,[status(thm)],[10280,222,theory(equality)])).
% cnf(10282,plain,(sdtasdt0(xm,sdtasdt0(xk,xn))=sdtasdt0(xn,sdtasdt0(xm,xk))|xp=sz00|~aNaturalNumber0(xk)),inference(cn,[status(thm)],[10281,theory(equality)])).
% cnf(10766,plain,(sdtasdt0(xk,sdtasdt0(xp,xk))=sdtasdt0(xm,sdtasdt0(xn,xk))|xp=sz00),inference(csr,[status(thm)],[9946,5068])).
% cnf(10807,plain,(sdtasdt0(xm,sdtasdt0(xn,xk))=sdtasdt0(xn,sdtasdt0(xm,xk))|xp=sz00),inference(spm,[status(thm)],[10102,10766,theory(equality)])).
% cnf(11117,plain,(sdtsldt0(sdtasdt0(xn,sdtasdt0(xn,sdtasdt0(xm,xk))),xp)=sdtasdt0(sdtasdt0(xn,xk),xk)|xp=sz00|~aNaturalNumber0(sdtasdt0(xn,xk))),inference(spm,[status(thm)],[4994,10807,theory(equality)])).
% cnf(11338,plain,(sdtasdt0(xm,sdtasdt0(xk,xn))=sdtasdt0(xn,sdtasdt0(xm,xk))|xp=sz00),inference(csr,[status(thm)],[10282,5068])).
% cnf(11376,plain,(sdtsldt0(sdtasdt0(xn,sdtasdt0(xn,sdtasdt0(xm,xk))),xp)=sdtasdt0(sdtasdt0(xk,xn),xk)|xp=sz00|~aNaturalNumber0(sdtasdt0(xk,xn))),inference(spm,[status(thm)],[4994,11338,theory(equality)])).
% cnf(13896,plain,(sdtsldt0(sdtasdt0(xn,sdtasdt0(xn,sdtasdt0(xm,xk))),xp)=sdtasdt0(sdtasdt0(xn,xk),xk)|xp=sz00|~aNaturalNumber0(xk)|~aNaturalNumber0(xn)),inference(spm,[status(thm)],[11117,70,theory(equality)])).
% cnf(13897,plain,(sdtsldt0(sdtasdt0(xn,sdtasdt0(xn,sdtasdt0(xm,xk))),xp)=sdtasdt0(sdtasdt0(xn,xk),xk)|xp=sz00|~aNaturalNumber0(xk)|$false),inference(rw,[status(thm)],[13896,222,theory(equality)])).
% cnf(13898,plain,(sdtsldt0(sdtasdt0(xn,sdtasdt0(xn,sdtasdt0(xm,xk))),xp)=sdtasdt0(sdtasdt0(xn,xk),xk)|xp=sz00|~aNaturalNumber0(xk)),inference(cn,[status(thm)],[13897,theory(equality)])).
% cnf(13899,plain,(sdtsldt0(sdtasdt0(xn,sdtasdt0(xn,sdtasdt0(xm,xk))),xp)=sdtasdt0(sdtasdt0(xn,xk),xk)|xp=sz00),inference(csr,[status(thm)],[13898,5068])).
% cnf(13939,plain,(sdtsldt0(sdtasdt0(xn,sdtasdt0(xn,sdtasdt0(xm,xk))),xp)=sdtasdt0(sdtasdt0(xk,xn),xk)|xp=sz00|~aNaturalNumber0(xn)|~aNaturalNumber0(xk)),inference(spm,[status(thm)],[11376,70,theory(equality)])).
% cnf(13944,plain,(sdtsldt0(sdtasdt0(xn,sdtasdt0(xn,sdtasdt0(xm,xk))),xp)=sdtasdt0(sdtasdt0(xk,xn),xk)|xp=sz00|$false|~aNaturalNumber0(xk)),inference(rw,[status(thm)],[13939,222,theory(equality)])).
% cnf(13945,plain,(sdtsldt0(sdtasdt0(xn,sdtasdt0(xn,sdtasdt0(xm,xk))),xp)=sdtasdt0(sdtasdt0(xk,xn),xk)|xp=sz00|~aNaturalNumber0(xk)),inference(cn,[status(thm)],[13944,theory(equality)])).
% cnf(13946,plain,(sdtsldt0(sdtasdt0(xn,sdtasdt0(xn,sdtasdt0(xm,xk))),xp)=sdtasdt0(sdtasdt0(xk,xn),xk)|xp=sz00),inference(csr,[status(thm)],[13945,5068])).
% cnf(13949,plain,(sdtasdt0(sdtasdt0(xk,xn),xk)=sdtasdt0(sdtasdt0(xn,xk),xk)|xp=sz00),inference(spm,[status(thm)],[13899,13946,theory(equality)])).
% cnf(13955,plain,(sdtasdt0(xk,sdtasdt0(xk,xn))=sdtasdt0(sdtasdt0(xn,xk),xk)|xp=sz00|~aNaturalNumber0(sdtasdt0(xk,xn))|~aNaturalNumber0(xk)),inference(spm,[status(thm)],[84,13949,theory(equality)])).
% cnf(13996,plain,(sdtasdt0(sdtasdt0(xn,xk),xk)=sdtasdt0(xk,sdtasdt0(xn,xk))|xp=sz00|~aNaturalNumber0(xk)|~aNaturalNumber0(xn)),inference(spm,[status(thm)],[87,13949,theory(equality)])).
% cnf(14012,plain,(sdtasdt0(sdtasdt0(xn,xk),xk)=sdtasdt0(xk,sdtasdt0(xn,xk))|xp=sz00|~aNaturalNumber0(xk)|$false),inference(rw,[status(thm)],[13996,222,theory(equality)])).
% cnf(14013,plain,(sdtasdt0(sdtasdt0(xn,xk),xk)=sdtasdt0(xk,sdtasdt0(xn,xk))|xp=sz00|~aNaturalNumber0(xk)),inference(cn,[status(thm)],[14012,theory(equality)])).
% cnf(14044,plain,(sdtasdt0(sdtasdt0(xn,xk),xk)=sdtasdt0(xk,sdtasdt0(xn,xk))|xp=sz00),inference(csr,[status(thm)],[14013,5068])).
% cnf(16217,plain,(sz00=xr|aNaturalNumber0(sdtsldt0(xn,xr))|~aNaturalNumber0(xr)|~aNaturalNumber0(xn)),inference(spm,[status(thm)],[765,248,theory(equality)])).
% cnf(16229,plain,(sz00=xr|aNaturalNumber0(sdtsldt0(xn,xr))|$false|~aNaturalNumber0(xn)),inference(rw,[status(thm)],[16217,242,theory(equality)])).
% cnf(16230,plain,(sz00=xr|aNaturalNumber0(sdtsldt0(xn,xr))|$false|$false),inference(rw,[status(thm)],[16229,222,theory(equality)])).
% cnf(16231,plain,(sz00=xr|aNaturalNumber0(sdtsldt0(xn,xr))),inference(cn,[status(thm)],[16230,theory(equality)])).
% cnf(16262,plain,(sdtasdt0(sdtsldt0(xn,xr),sdtasdt0(xm,xr))=sdtasdt0(xn,xm)|xr=sz00),inference(spm,[status(thm)],[578,16231,theory(equality)])).
% cnf(16266,plain,(sdtasdt0(xr,sdtasdt0(sdtsldt0(xn,xr),xm))=sdtasdt0(xn,xm)|xr=sz00),inference(spm,[status(thm)],[1331,16231,theory(equality)])).
% cnf(16466,plain,(sdtasdt0(xn,xm)=sdtasdt0(xm,sdtasdt0(xr,sdtsldt0(xn,xr)))|xr=sz00|~aNaturalNumber0(sdtsldt0(xn,xr))|~aNaturalNumber0(xr)|~aNaturalNumber0(xm)),inference(spm,[status(thm)],[7007,16262,theory(equality)])).
% cnf(16480,plain,(sdtasdt0(xn,xm)=sdtasdt0(xm,sdtasdt0(xr,sdtsldt0(xn,xr)))|xr=sz00|~aNaturalNumber0(sdtsldt0(xn,xr))|$false|~aNaturalNumber0(xm)),inference(rw,[status(thm)],[16466,242,theory(equality)])).
% cnf(16481,plain,(sdtasdt0(xn,xm)=sdtasdt0(xm,sdtasdt0(xr,sdtsldt0(xn,xr)))|xr=sz00|~aNaturalNumber0(sdtsldt0(xn,xr))|$false|$false),inference(rw,[status(thm)],[16480,221,theory(equality)])).
% cnf(16482,plain,(sdtasdt0(xn,xm)=sdtasdt0(xm,sdtasdt0(xr,sdtsldt0(xn,xr)))|xr=sz00|~aNaturalNumber0(sdtsldt0(xn,xr))),inference(cn,[status(thm)],[16481,theory(equality)])).
% cnf(17044,plain,(sdtasdt0(xr,sdtsldt0(xn,xr))=xn|sz00=xr|~aNaturalNumber0(xr)|~aNaturalNumber0(xn)),inference(spm,[status(thm)],[770,248,theory(equality)])).
% cnf(17056,plain,(sdtasdt0(xr,sdtsldt0(xn,xr))=xn|sz00=xr|$false|~aNaturalNumber0(xn)),inference(rw,[status(thm)],[17044,242,theory(equality)])).
% cnf(17057,plain,(sdtasdt0(xr,sdtsldt0(xn,xr))=xn|sz00=xr|$false|$false),inference(rw,[status(thm)],[17056,222,theory(equality)])).
% cnf(17058,plain,(sdtasdt0(xr,sdtsldt0(xn,xr))=xn|sz00=xr),inference(cn,[status(thm)],[17057,theory(equality)])).
% cnf(18074,plain,(sdtasdt0(xm,sdtasdt0(xr,sdtsldt0(xn,xr)))=sdtasdt0(xn,xm)|xr=sz00),inference(csr,[status(thm)],[16482,16231])).
% cnf(21250,plain,(sdtasdt0(xp,sdtasdt0(sz10,xk))=sdtasdt0(xn,xm)|xp=sz00),inference(csr,[status(thm)],[6241,5068])).
% cnf(21295,plain,(sdtasdt0(xn,xm)=sdtasdt0(sz10,sdtasdt0(xk,xp))|xp=sz00|~aNaturalNumber0(xp)|~aNaturalNumber0(xk)|~aNaturalNumber0(sz10)),inference(spm,[status(thm)],[7007,21250,theory(equality)])).
% cnf(21401,plain,(sdtasdt0(xn,xm)=sdtasdt0(sz10,sdtasdt0(xk,xp))|xp=sz00|$false|~aNaturalNumber0(xk)|~aNaturalNumber0(sz10)),inference(rw,[status(thm)],[21295,220,theory(equality)])).
% cnf(21402,plain,(sdtasdt0(xn,xm)=sdtasdt0(sz10,sdtasdt0(xk,xp))|xp=sz00|$false|~aNaturalNumber0(xk)|$false),inference(rw,[status(thm)],[21401,64,theory(equality)])).
% cnf(21403,plain,(sdtasdt0(xn,xm)=sdtasdt0(sz10,sdtasdt0(xk,xp))|xp=sz00|~aNaturalNumber0(xk)),inference(cn,[status(thm)],[21402,theory(equality)])).
% cnf(21613,plain,(sdtasdt0(sz10,sdtasdt0(xk,xp))=sdtasdt0(xn,xm)|xp=sz00),inference(csr,[status(thm)],[21403,5068])).
% cnf(21668,plain,(sdtasdt0(xn,xm)=sdtasdt0(xk,xp)|xp=sz00|~aNaturalNumber0(xp)|~aNaturalNumber0(xk)),inference(spm,[status(thm)],[584,21613,theory(equality)])).
% cnf(21786,plain,(sdtasdt0(xn,xm)=sdtasdt0(xk,xp)|xp=sz00|$false|~aNaturalNumber0(xk)),inference(rw,[status(thm)],[21668,220,theory(equality)])).
% cnf(21787,plain,(sdtasdt0(xn,xm)=sdtasdt0(xk,xp)|xp=sz00|~aNaturalNumber0(xk)),inference(cn,[status(thm)],[21786,theory(equality)])).
% cnf(21793,plain,(sdtasdt0(xk,xp)=sdtasdt0(xn,xm)|xp=sz00),inference(csr,[status(thm)],[21787,5068])).
% cnf(33382,plain,(sdtasdt0(sdtasdt0(xn,xk),xk)=sdtasdt0(xk,sdtasdt0(xk,xn))|xp=sz00|~aNaturalNumber0(sdtasdt0(xk,xn))),inference(csr,[status(thm)],[13955,5068])).
% cnf(33385,plain,(sdtasdt0(sdtasdt0(xn,xk),xk)=sdtasdt0(xk,sdtasdt0(xk,xn))|xp=sz00|~aNaturalNumber0(xn)|~aNaturalNumber0(xk)),inference(spm,[status(thm)],[33382,70,theory(equality)])).
% cnf(33390,plain,(sdtasdt0(sdtasdt0(xn,xk),xk)=sdtasdt0(xk,sdtasdt0(xk,xn))|xp=sz00|$false|~aNaturalNumber0(xk)),inference(rw,[status(thm)],[33385,222,theory(equality)])).
% cnf(33391,plain,(sdtasdt0(sdtasdt0(xn,xk),xk)=sdtasdt0(xk,sdtasdt0(xk,xn))|xp=sz00|~aNaturalNumber0(xk)),inference(cn,[status(thm)],[33390,theory(equality)])).
% cnf(33392,plain,(sdtasdt0(sdtasdt0(xn,xk),xk)=sdtasdt0(xk,sdtasdt0(xk,xn))|xp=sz00),inference(csr,[status(thm)],[33391,5068])).
% cnf(33462,plain,(sdtasdt0(xk,sdtasdt0(xk,xn))=sdtasdt0(xk,sdtasdt0(xn,xk))|xp=sz00),inference(spm,[status(thm)],[14044,33392,theory(equality)])).
% cnf(51183,plain,(sdtsldt0(sdtasdt0(X1,X2),X1)=X2|sz00=X1|~aNaturalNumber0(X2)|~aNaturalNumber0(X1)),inference(csr,[status(thm)],[937,70])).
% cnf(51198,plain,(sdtsldt0(xn,xr)=esk2_2(xr,xn)|sz00=xr|~aNaturalNumber0(esk2_2(xr,xn))|~aNaturalNumber0(xr)),inference(spm,[status(thm)],[51183,475,theory(equality)])).
% cnf(51201,plain,(sdtsldt0(sdtasdt0(xn,xm),xr)=sdtasdt0(sdtsldt0(xn,xr),xm)|sz00=xr|~aNaturalNumber0(sdtasdt0(sdtsldt0(xn,xr),xm))|~aNaturalNumber0(xr)),inference(spm,[status(thm)],[51183,16266,theory(equality)])).
% cnf(51208,plain,(sdtsldt0(sdtasdt0(xk,sdtasdt0(xn,xk)),xk)=sdtasdt0(xk,xn)|sz00=xk|xp=sz00|~aNaturalNumber0(sdtasdt0(xk,xn))|~aNaturalNumber0(xk)),inference(spm,[status(thm)],[51183,33462,theory(equality)])).
% cnf(51346,plain,(sdtsldt0(xn,xr)=esk2_2(xr,xn)|sz00=xr|$false|~aNaturalNumber0(xr)),inference(rw,[status(thm)],[51198,461,theory(equality)])).
% cnf(51347,plain,(sdtsldt0(xn,xr)=esk2_2(xr,xn)|sz00=xr|$false|$false),inference(rw,[status(thm)],[51346,242,theory(equality)])).
% cnf(51348,plain,(sdtsldt0(xn,xr)=esk2_2(xr,xn)|sz00=xr),inference(cn,[status(thm)],[51347,theory(equality)])).
% cnf(51354,plain,(sdtsldt0(sdtasdt0(xn,xm),xr)=sdtasdt0(sdtsldt0(xn,xr),xm)|sz00=xr|~aNaturalNumber0(sdtasdt0(sdtsldt0(xn,xr),xm))|$false),inference(rw,[status(thm)],[51201,242,theory(equality)])).
% cnf(51355,plain,(sdtsldt0(sdtasdt0(xn,xm),xr)=sdtasdt0(sdtsldt0(xn,xr),xm)|sz00=xr|~aNaturalNumber0(sdtasdt0(sdtsldt0(xn,xr),xm))),inference(cn,[status(thm)],[51354,theory(equality)])).
% cnf(51364,plain,(sdtsldt0(sdtasdt0(xk,sdtasdt0(xn,xk)),xk)=sdtasdt0(xk,xn)|xp=sz00|~aNaturalNumber0(sdtasdt0(xk,xn))|~aNaturalNumber0(xk)),inference(sr,[status(thm)],[51208,237,theory(equality)])).
% cnf(51599,plain,(sdtsldt0(xn,xr)=sz00|sdtlseqdt0(xr,xn)|xr=sz00),inference(spm,[status(thm)],[1999,51348,theory(equality)])).
% cnf(61192,plain,(sdtsldt0(sdtasdt0(xn,xm),xr)=sdtasdt0(sdtsldt0(xn,xr),xm)|xr=sz00|~aNaturalNumber0(xm)|~aNaturalNumber0(sdtsldt0(xn,xr))),inference(spm,[status(thm)],[51355,70,theory(equality)])).
% cnf(61199,plain,(sdtsldt0(sdtasdt0(xn,xm),xr)=sdtasdt0(sdtsldt0(xn,xr),xm)|xr=sz00|$false|~aNaturalNumber0(sdtsldt0(xn,xr))),inference(rw,[status(thm)],[61192,221,theory(equality)])).
% cnf(61200,plain,(sdtsldt0(sdtasdt0(xn,xm),xr)=sdtasdt0(sdtsldt0(xn,xr),xm)|xr=sz00|~aNaturalNumber0(sdtsldt0(xn,xr))),inference(cn,[status(thm)],[61199,theory(equality)])).
% cnf(61661,plain,(sdtsldt0(sdtasdt0(xn,xm),xr)=sdtasdt0(sdtsldt0(xn,xr),xm)|xr=sz00),inference(csr,[status(thm)],[61200,16231])).
% cnf(64504,plain,(xr=sz00|sdtlseqdt0(xr,xn)|sz00!=xn),inference(spm,[status(thm)],[250,51599,theory(equality)])).
% cnf(65179,plain,(xr=sz00|sdtlseqdt0(xr,xn)),inference(csr,[status(thm)],[64504,615])).
% cnf(65185,plain,(aNaturalNumber0(esk1_2(xr,xn))|xr=sz00|~aNaturalNumber0(xr)|~aNaturalNumber0(xn)),inference(spm,[status(thm)],[128,65179,theory(equality)])).
% cnf(65186,plain,(sdtpldt0(xr,esk1_2(xr,xn))=xn|xr=sz00|~aNaturalNumber0(xr)|~aNaturalNumber0(xn)),inference(spm,[status(thm)],[127,65179,theory(equality)])).
% cnf(65193,plain,(sdtlseqdt0(xr,xp)|xr=sz00|~aNaturalNumber0(xr)),inference(spm,[status(thm)],[901,65179,theory(equality)])).
% cnf(65209,plain,(aNaturalNumber0(esk1_2(xr,xn))|xr=sz00|$false|~aNaturalNumber0(xn)),inference(rw,[status(thm)],[65185,242,theory(equality)])).
% cnf(65210,plain,(aNaturalNumber0(esk1_2(xr,xn))|xr=sz00|$false|$false),inference(rw,[status(thm)],[65209,222,theory(equality)])).
% cnf(65211,plain,(aNaturalNumber0(esk1_2(xr,xn))|xr=sz00),inference(cn,[status(thm)],[65210,theory(equality)])).
% cnf(65212,plain,(sdtpldt0(xr,esk1_2(xr,xn))=xn|xr=sz00|$false|~aNaturalNumber0(xn)),inference(rw,[status(thm)],[65186,242,theory(equality)])).
% cnf(65213,plain,(sdtpldt0(xr,esk1_2(xr,xn))=xn|xr=sz00|$false|$false),inference(rw,[status(thm)],[65212,222,theory(equality)])).
% cnf(65214,plain,(sdtpldt0(xr,esk1_2(xr,xn))=xn|xr=sz00),inference(cn,[status(thm)],[65213,theory(equality)])).
% cnf(65233,plain,(sdtlseqdt0(xr,xp)|xr=sz00|$false),inference(rw,[status(thm)],[65193,242,theory(equality)])).
% cnf(65234,plain,(sdtlseqdt0(xr,xp)|xr=sz00),inference(cn,[status(thm)],[65233,theory(equality)])).
% cnf(65240,plain,(aNaturalNumber0(esk1_2(xr,xp))|xr=sz00|~aNaturalNumber0(xr)|~aNaturalNumber0(xp)),inference(spm,[status(thm)],[128,65234,theory(equality)])).
% cnf(65241,plain,(sdtpldt0(xr,esk1_2(xr,xp))=xp|xr=sz00|~aNaturalNumber0(xr)|~aNaturalNumber0(xp)),inference(spm,[status(thm)],[127,65234,theory(equality)])).
% cnf(65263,plain,(aNaturalNumber0(esk1_2(xr,xp))|xr=sz00|$false|~aNaturalNumber0(xp)),inference(rw,[status(thm)],[65240,242,theory(equality)])).
% cnf(65264,plain,(aNaturalNumber0(esk1_2(xr,xp))|xr=sz00|$false|$false),inference(rw,[status(thm)],[65263,220,theory(equality)])).
% cnf(65265,plain,(aNaturalNumber0(esk1_2(xr,xp))|xr=sz00),inference(cn,[status(thm)],[65264,theory(equality)])).
% cnf(65266,plain,(sdtpldt0(xr,esk1_2(xr,xp))=xp|xr=sz00|$false|~aNaturalNumber0(xp)),inference(rw,[status(thm)],[65241,242,theory(equality)])).
% cnf(65267,plain,(sdtpldt0(xr,esk1_2(xr,xp))=xp|xr=sz00|$false|$false),inference(rw,[status(thm)],[65266,220,theory(equality)])).
% cnf(65268,plain,(sdtpldt0(xr,esk1_2(xr,xp))=xp|xr=sz00),inference(cn,[status(thm)],[65267,theory(equality)])).
% cnf(65738,plain,(sz00=xr|xn!=sz00|~aNaturalNumber0(xr)|~aNaturalNumber0(esk1_2(xr,xn))),inference(spm,[status(thm)],[118,65214,theory(equality)])).
% cnf(65789,plain,(sz00=xr|xn!=sz00|$false|~aNaturalNumber0(esk1_2(xr,xn))),inference(rw,[status(thm)],[65738,242,theory(equality)])).
% cnf(65790,plain,(sz00=xr|xn!=sz00|~aNaturalNumber0(esk1_2(xr,xn))),inference(cn,[status(thm)],[65789,theory(equality)])).
% cnf(66037,plain,(sz00=xr|xp!=sz00|~aNaturalNumber0(xr)|~aNaturalNumber0(esk1_2(xr,xp))),inference(spm,[status(thm)],[118,65268,theory(equality)])).
% cnf(66088,plain,(sz00=xr|xp!=sz00|$false|~aNaturalNumber0(esk1_2(xr,xp))),inference(rw,[status(thm)],[66037,242,theory(equality)])).
% cnf(66089,plain,(sz00=xr|xp!=sz00|~aNaturalNumber0(esk1_2(xr,xp))),inference(cn,[status(thm)],[66088,theory(equality)])).
% cnf(66783,plain,(xr=sz00|xn!=sz00),inference(csr,[status(thm)],[65790,65211])).
% cnf(66785,plain,(xr=sz00|xp!=sz00),inference(csr,[status(thm)],[66089,65265])).
% cnf(69299,plain,(doDivides0(xr,sdtpldt0(xr,xn))|~aNaturalNumber0(xr)),inference(spm,[status(thm)],[1024,550,theory(equality)])).
% cnf(69306,plain,(doDivides0(xr,sdtpldt0(xr,xn))|$false),inference(rw,[status(thm)],[69299,242,theory(equality)])).
% cnf(69307,plain,(doDivides0(xr,sdtpldt0(xr,xn))),inference(cn,[status(thm)],[69306,theory(equality)])).
% cnf(69326,plain,(doDivides0(xr,xr)|~doDivides0(xr,xn)|~aNaturalNumber0(xn)|~aNaturalNumber0(xr)),inference(spm,[status(thm)],[990,69307,theory(equality)])).
% cnf(69353,plain,(doDivides0(xr,xr)|$false|~aNaturalNumber0(xn)|~aNaturalNumber0(xr)),inference(rw,[status(thm)],[69326,248,theory(equality)])).
% cnf(69354,plain,(doDivides0(xr,xr)|$false|$false|~aNaturalNumber0(xr)),inference(rw,[status(thm)],[69353,222,theory(equality)])).
% cnf(69355,plain,(doDivides0(xr,xr)|$false|$false|$false),inference(rw,[status(thm)],[69354,242,theory(equality)])).
% cnf(69356,plain,(doDivides0(xr,xr)),inference(cn,[status(thm)],[69355,theory(equality)])).
% cnf(69373,plain,(sz00=xr|aNaturalNumber0(sdtsldt0(xr,xr))|~aNaturalNumber0(xr)),inference(spm,[status(thm)],[765,69356,theory(equality)])).
% cnf(69388,plain,(sz00=xr|aNaturalNumber0(sdtsldt0(xr,xr))|$false),inference(rw,[status(thm)],[69373,242,theory(equality)])).
% cnf(69389,plain,(sz00=xr|aNaturalNumber0(sdtsldt0(xr,xr))),inference(cn,[status(thm)],[69388,theory(equality)])).
% cnf(71070,plain,(doDivides0(xp,sdtpldt0(X1,sdtasdt0(xn,xm)))|~doDivides0(xp,X1)|$false|~aNaturalNumber0(X1)),inference(rw,[status(thm)],[1028,1706,theory(equality)])).
% cnf(71071,plain,(doDivides0(xp,sdtpldt0(X1,sdtasdt0(xn,xm)))|~doDivides0(xp,X1)|~aNaturalNumber0(X1)),inference(cn,[status(thm)],[71070,theory(equality)])).
% cnf(71073,plain,(doDivides0(xp,sdtpldt0(xp,sdtasdt0(xn,xm)))|~aNaturalNumber0(xp)),inference(spm,[status(thm)],[71071,550,theory(equality)])).
% cnf(71078,plain,(doDivides0(xp,sdtpldt0(xp,sdtasdt0(xn,xm)))|$false),inference(rw,[status(thm)],[71073,220,theory(equality)])).
% cnf(71079,plain,(doDivides0(xp,sdtpldt0(xp,sdtasdt0(xn,xm)))),inference(cn,[status(thm)],[71078,theory(equality)])).
% cnf(71201,plain,(doDivides0(xp,xp)|~doDivides0(xp,sdtasdt0(xn,xm))|~aNaturalNumber0(sdtasdt0(xn,xm))|~aNaturalNumber0(xp)),inference(spm,[status(thm)],[990,71079,theory(equality)])).
% cnf(71226,plain,(doDivides0(xp,xp)|$false|~aNaturalNumber0(sdtasdt0(xn,xm))|~aNaturalNumber0(xp)),inference(rw,[status(thm)],[71201,226,theory(equality)])).
% cnf(71227,plain,(doDivides0(xp,xp)|$false|$false|~aNaturalNumber0(xp)),inference(rw,[status(thm)],[71226,1706,theory(equality)])).
% cnf(71228,plain,(doDivides0(xp,xp)|$false|$false|$false),inference(rw,[status(thm)],[71227,220,theory(equality)])).
% cnf(71229,plain,(doDivides0(xp,xp)),inference(cn,[status(thm)],[71228,theory(equality)])).
% cnf(71240,plain,(sz00=xp|aNaturalNumber0(sdtsldt0(xp,xp))|~aNaturalNumber0(xp)),inference(spm,[status(thm)],[765,71229,theory(equality)])).
% cnf(71255,plain,(sz00=xp|aNaturalNumber0(sdtsldt0(xp,xp))|$false),inference(rw,[status(thm)],[71240,220,theory(equality)])).
% cnf(71256,plain,(sz00=xp|aNaturalNumber0(sdtsldt0(xp,xp))),inference(cn,[status(thm)],[71255,theory(equality)])).
% cnf(144717,plain,(sdtsldt0(sdtasdt0(xk,sdtasdt0(xn,xk)),xk)=sdtasdt0(xk,xn)|xp=sz00|~aNaturalNumber0(sdtasdt0(xk,xn))),inference(csr,[status(thm)],[51364,5068])).
% cnf(144721,plain,(sdtsldt0(sdtasdt0(xk,sdtasdt0(xn,xk)),xk)=sdtasdt0(xk,xn)|xp=sz00|~aNaturalNumber0(xn)|~aNaturalNumber0(xk)),inference(spm,[status(thm)],[144717,70,theory(equality)])).
% cnf(144726,plain,(sdtsldt0(sdtasdt0(xk,sdtasdt0(xn,xk)),xk)=sdtasdt0(xk,xn)|xp=sz00|$false|~aNaturalNumber0(xk)),inference(rw,[status(thm)],[144721,222,theory(equality)])).
% cnf(144727,plain,(sdtsldt0(sdtasdt0(xk,sdtasdt0(xn,xk)),xk)=sdtasdt0(xk,xn)|xp=sz00|~aNaturalNumber0(xk)),inference(cn,[status(thm)],[144726,theory(equality)])).
% cnf(144728,plain,(sdtsldt0(sdtasdt0(xk,sdtasdt0(xn,xk)),xk)=sdtasdt0(xk,xn)|xp=sz00),inference(csr,[status(thm)],[144727,5068])).
% cnf(144731,plain,(sdtasdt0(xk,xn)=sdtasdt0(xn,xk)|sz00=xk|xp=sz00|~aNaturalNumber0(sdtasdt0(xn,xk))|~aNaturalNumber0(xk)),inference(spm,[status(thm)],[51183,144728,theory(equality)])).
% cnf(144736,plain,(sdtasdt0(xk,xn)=sdtasdt0(xn,xk)|xp=sz00|~aNaturalNumber0(sdtasdt0(xn,xk))|~aNaturalNumber0(xk)),inference(sr,[status(thm)],[144731,237,theory(equality)])).
% cnf(144761,plain,(sdtasdt0(xk,xn)=sdtasdt0(xn,xk)|xp=sz00|~aNaturalNumber0(sdtasdt0(xn,xk))),inference(csr,[status(thm)],[144736,5068])).
% cnf(144762,plain,(sdtasdt0(xk,xn)=sdtasdt0(xn,xk)|xp=sz00|~aNaturalNumber0(xk)|~aNaturalNumber0(xn)),inference(spm,[status(thm)],[144761,70,theory(equality)])).
% cnf(144763,plain,(sdtasdt0(xk,xn)=sdtasdt0(xn,xk)|xp=sz00|~aNaturalNumber0(xk)|$false),inference(rw,[status(thm)],[144762,222,theory(equality)])).
% cnf(144764,plain,(sdtasdt0(xk,xn)=sdtasdt0(xn,xk)|xp=sz00|~aNaturalNumber0(xk)),inference(cn,[status(thm)],[144763,theory(equality)])).
% cnf(144765,plain,(sdtasdt0(xk,xn)=sdtasdt0(xn,xk)|xp=sz00),inference(csr,[status(thm)],[144764,5068])).
% cnf(144806,plain,(sdtsldt0(sdtasdt0(xn,xk),xk)=xn|sz00=xk|xp=sz00|~aNaturalNumber0(xn)|~aNaturalNumber0(xk)),inference(spm,[status(thm)],[51183,144765,theory(equality)])).
% cnf(144978,plain,(sdtsldt0(sdtasdt0(xn,xk),xk)=xn|sz00=xk|xp=sz00|$false|~aNaturalNumber0(xk)),inference(rw,[status(thm)],[144806,222,theory(equality)])).
% cnf(144979,plain,(sdtsldt0(sdtasdt0(xn,xk),xk)=xn|sz00=xk|xp=sz00|~aNaturalNumber0(xk)),inference(cn,[status(thm)],[144978,theory(equality)])).
% cnf(144980,plain,(sdtsldt0(sdtasdt0(xn,xk),xk)=xn|xp=sz00|~aNaturalNumber0(xk)),inference(sr,[status(thm)],[144979,237,theory(equality)])).
% cnf(145163,plain,(sdtsldt0(sdtasdt0(xn,xk),xk)=xn|xp=sz00),inference(csr,[status(thm)],[144980,5068])).
% cnf(159166,plain,(sdtasdt0(xn,sdtsldt0(xr,xr))=sdtasdt0(xr,sdtsldt0(xn,xr))|xr=sz00|~aNaturalNumber0(xr)|~aNaturalNumber0(xn)),inference(spm,[status(thm)],[1752,2290,theory(equality)])).
% cnf(159170,plain,(sdtasdt0(xn,sdtsldt0(xk,xk))=xn|xp=sz00|sz00=xk|~aNaturalNumber0(xn)|~aNaturalNumber0(xk)),inference(spm,[status(thm)],[145163,2290,theory(equality)])).
% cnf(159172,plain,(sdtasdt0(sdtasdt0(xn,xm),sdtsldt0(xp,xp))=sdtasdt0(xp,xk)|xp=sz00|~aNaturalNumber0(xp)|~aNaturalNumber0(sdtasdt0(xn,xm))),inference(spm,[status(thm)],[4892,2290,theory(equality)])).
% cnf(159212,plain,(sdtsldt0(sdtasdt0(xn,xm),xp)=sdtasdt0(xk,sdtsldt0(xp,xp))|sz00=xp|~aNaturalNumber0(xk)|~aNaturalNumber0(xp)),inference(spm,[status(thm)],[2290,21793,theory(equality)])).
% cnf(159532,plain,(sdtasdt0(xn,sdtsldt0(xr,xr))=sdtasdt0(xr,sdtsldt0(xn,xr))|xr=sz00|$false|~aNaturalNumber0(xn)),inference(rw,[status(thm)],[159166,242,theory(equality)])).
% cnf(159533,plain,(sdtasdt0(xn,sdtsldt0(xr,xr))=sdtasdt0(xr,sdtsldt0(xn,xr))|xr=sz00|$false|$false),inference(rw,[status(thm)],[159532,222,theory(equality)])).
% cnf(159534,plain,(sdtasdt0(xn,sdtsldt0(xr,xr))=sdtasdt0(xr,sdtsldt0(xn,xr))|xr=sz00),inference(cn,[status(thm)],[159533,theory(equality)])).
% cnf(159544,plain,(sdtasdt0(xn,sdtsldt0(xk,xk))=xn|xp=sz00|sz00=xk|$false|~aNaturalNumber0(xk)),inference(rw,[status(thm)],[159170,222,theory(equality)])).
% cnf(159545,plain,(sdtasdt0(xn,sdtsldt0(xk,xk))=xn|xp=sz00|sz00=xk|~aNaturalNumber0(xk)),inference(cn,[status(thm)],[159544,theory(equality)])).
% cnf(159546,plain,(sdtasdt0(xn,sdtsldt0(xk,xk))=xn|xp=sz00|~aNaturalNumber0(xk)),inference(sr,[status(thm)],[159545,237,theory(equality)])).
% cnf(159550,plain,(sdtasdt0(sdtasdt0(xn,xm),sdtsldt0(xp,xp))=sdtasdt0(xp,xk)|xp=sz00|$false|~aNaturalNumber0(sdtasdt0(xn,xm))),inference(rw,[status(thm)],[159172,220,theory(equality)])).
% cnf(159551,plain,(sdtasdt0(sdtasdt0(xn,xm),sdtsldt0(xp,xp))=sdtasdt0(xp,xk)|xp=sz00|$false|$false),inference(rw,[status(thm)],[159550,1706,theory(equality)])).
% cnf(159552,plain,(sdtasdt0(sdtasdt0(xn,xm),sdtsldt0(xp,xp))=sdtasdt0(xp,xk)|xp=sz00),inference(cn,[status(thm)],[159551,theory(equality)])).
% cnf(159639,plain,(xk=sdtasdt0(xk,sdtsldt0(xp,xp))|sz00=xp|~aNaturalNumber0(xk)|~aNaturalNumber0(xp)),inference(rw,[status(thm)],[159212,234,theory(equality)])).
% cnf(159640,plain,(xk=sdtasdt0(xk,sdtsldt0(xp,xp))|sz00=xp|~aNaturalNumber0(xk)|$false),inference(rw,[status(thm)],[159639,220,theory(equality)])).
% cnf(159641,plain,(xk=sdtasdt0(xk,sdtsldt0(xp,xp))|sz00=xp|~aNaturalNumber0(xk)),inference(cn,[status(thm)],[159640,theory(equality)])).
% cnf(160612,plain,(sdtasdt0(xn,sdtsldt0(xr,xr))=xn|xr=sz00),inference(spm,[status(thm)],[17058,159534,theory(equality)])).
% cnf(160613,plain,(sdtasdt0(xm,sdtasdt0(xn,sdtsldt0(xr,xr)))=sdtasdt0(xn,xm)|xr=sz00),inference(spm,[status(thm)],[18074,159534,theory(equality)])).
% cnf(160876,plain,(sdtsldt0(xn,xn)=sdtsldt0(xr,xr)|sz00=xn|xr=sz00|~aNaturalNumber0(sdtsldt0(xr,xr))|~aNaturalNumber0(xn)),inference(spm,[status(thm)],[51183,160612,theory(equality)])).
% cnf(161027,plain,(sdtsldt0(xn,xn)=sdtsldt0(xr,xr)|sz00=xn|xr=sz00|~aNaturalNumber0(sdtsldt0(xr,xr))|$false),inference(rw,[status(thm)],[160876,222,theory(equality)])).
% cnf(161028,plain,(sdtsldt0(xn,xn)=sdtsldt0(xr,xr)|sz00=xn|xr=sz00|~aNaturalNumber0(sdtsldt0(xr,xr))),inference(cn,[status(thm)],[161027,theory(equality)])).
% cnf(161539,plain,(sdtasdt0(xp,xk)=sdtasdt0(xn,sdtasdt0(xm,sdtsldt0(xp,xp)))|xp=sz00|~aNaturalNumber0(sdtsldt0(xp,xp))|~aNaturalNumber0(xm)|~aNaturalNumber0(xn)),inference(spm,[status(thm)],[87,159552,theory(equality)])).
% cnf(161751,plain,(sdtasdt0(xp,xk)=sdtasdt0(xn,sdtasdt0(xm,sdtsldt0(xp,xp)))|xp=sz00|~aNaturalNumber0(sdtsldt0(xp,xp))|$false|~aNaturalNumber0(xn)),inference(rw,[status(thm)],[161539,221,theory(equality)])).
% cnf(161752,plain,(sdtasdt0(xp,xk)=sdtasdt0(xn,sdtasdt0(xm,sdtsldt0(xp,xp)))|xp=sz00|~aNaturalNumber0(sdtsldt0(xp,xp))|$false|$false),inference(rw,[status(thm)],[161751,222,theory(equality)])).
% cnf(161753,plain,(sdtasdt0(xp,xk)=sdtasdt0(xn,sdtasdt0(xm,sdtsldt0(xp,xp)))|xp=sz00|~aNaturalNumber0(sdtsldt0(xp,xp))),inference(cn,[status(thm)],[161752,theory(equality)])).
% cnf(162400,plain,(sdtasdt0(xn,xm)=sdtasdt0(xn,sdtasdt0(sdtsldt0(xr,xr),xm))|xr=sz00|~aNaturalNumber0(xm)|~aNaturalNumber0(sdtsldt0(xr,xr))|~aNaturalNumber0(xn)),inference(spm,[status(thm)],[7007,160613,theory(equality)])).
% cnf(162627,plain,(sdtasdt0(xn,xm)=sdtasdt0(xn,sdtasdt0(sdtsldt0(xr,xr),xm))|xr=sz00|$false|~aNaturalNumber0(sdtsldt0(xr,xr))|~aNaturalNumber0(xn)),inference(rw,[status(thm)],[162400,221,theory(equality)])).
% cnf(162628,plain,(sdtasdt0(xn,xm)=sdtasdt0(xn,sdtasdt0(sdtsldt0(xr,xr),xm))|xr=sz00|$false|~aNaturalNumber0(sdtsldt0(xr,xr))|$false),inference(rw,[status(thm)],[162627,222,theory(equality)])).
% cnf(162629,plain,(sdtasdt0(xn,xm)=sdtasdt0(xn,sdtasdt0(sdtsldt0(xr,xr),xm))|xr=sz00|~aNaturalNumber0(sdtsldt0(xr,xr))),inference(cn,[status(thm)],[162628,theory(equality)])).
% cnf(165864,plain,(sdtasdt0(xn,sdtsldt0(xk,xk))=xn|xp=sz00),inference(csr,[status(thm)],[159546,5068])).
% cnf(165903,plain,(sdtsldt0(xn,xn)=sdtsldt0(xk,xk)|sz00=xn|xp=sz00|~aNaturalNumber0(sdtsldt0(xk,xk))|~aNaturalNumber0(xn)),inference(spm,[status(thm)],[51183,165864,theory(equality)])).
% cnf(166054,plain,(sdtsldt0(xn,xn)=sdtsldt0(xk,xk)|sz00=xn|xp=sz00|~aNaturalNumber0(sdtsldt0(xk,xk))|$false),inference(rw,[status(thm)],[165903,222,theory(equality)])).
% cnf(166055,plain,(sdtsldt0(xn,xn)=sdtsldt0(xk,xk)|sz00=xn|xp=sz00|~aNaturalNumber0(sdtsldt0(xk,xk))),inference(cn,[status(thm)],[166054,theory(equality)])).
% cnf(166469,plain,(sdtasdt0(xk,sdtsldt0(xp,xp))=xk|xp=sz00),inference(csr,[status(thm)],[159641,5068])).
% cnf(166508,plain,(sdtsldt0(xk,xk)=sdtsldt0(xp,xp)|sz00=xk|xp=sz00|~aNaturalNumber0(sdtsldt0(xp,xp))|~aNaturalNumber0(xk)),inference(spm,[status(thm)],[51183,166469,theory(equality)])).
% cnf(166569,plain,(sdtsldt0(xk,xk)=sdtsldt0(xp,xp)|xp=sz00|~aNaturalNumber0(sdtsldt0(xp,xp))|~aNaturalNumber0(xk)),inference(sr,[status(thm)],[166508,237,theory(equality)])).
% cnf(171371,plain,(sdtasdt0(xn,sdtasdt0(xm,sdtsldt0(xp,xp)))=sdtasdt0(xp,xk)|xp=sz00),inference(csr,[status(thm)],[161753,71256])).
% cnf(173229,plain,(sdtasdt0(xn,sdtasdt0(sdtsldt0(xr,xr),xm))=sdtasdt0(xn,xm)|xr=sz00),inference(csr,[status(thm)],[162629,69389])).
% cnf(173349,plain,(sdtasdt0(xn,sdtasdt0(xm,sdtsldt0(xr,xr)))=sdtasdt0(xn,xm)|xr=sz00|~aNaturalNumber0(sdtsldt0(xr,xr))|~aNaturalNumber0(xm)),inference(spm,[status(thm)],[173229,84,theory(equality)])).
% cnf(173605,plain,(sdtasdt0(xn,sdtasdt0(xm,sdtsldt0(xr,xr)))=sdtasdt0(xn,xm)|xr=sz00|~aNaturalNumber0(sdtsldt0(xr,xr))|$false),inference(rw,[status(thm)],[173349,221,theory(equality)])).
% cnf(173606,plain,(sdtasdt0(xn,sdtasdt0(xm,sdtsldt0(xr,xr)))=sdtasdt0(xn,xm)|xr=sz00|~aNaturalNumber0(sdtsldt0(xr,xr))),inference(cn,[status(thm)],[173605,theory(equality)])).
% cnf(173986,plain,(sdtasdt0(xn,sdtasdt0(xm,sdtsldt0(xr,xr)))=sdtasdt0(xn,xm)|xr=sz00),inference(csr,[status(thm)],[173606,69389])).
% cnf(194385,plain,(sdtsldt0(xr,xr)=sdtsldt0(xn,xn)|xn=sz00|xr=sz00),inference(csr,[status(thm)],[161028,69389])).
% cnf(194386,plain,(sdtsldt0(xr,xr)=sdtsldt0(xn,xn)|xr=sz00),inference(csr,[status(thm)],[194385,66783])).
% cnf(194407,plain,(sdtasdt0(xn,sdtasdt0(xm,sdtsldt0(xn,xn)))=sdtasdt0(xn,xm)|xr=sz00),inference(spm,[status(thm)],[173986,194386,theory(equality)])).
% cnf(197577,plain,(sdtsldt0(xk,xk)=sdtsldt0(xn,xn)|xn=sz00|~aNaturalNumber0(sdtsldt0(xk,xk))),inference(csr,[status(thm)],[166055,1478])).
% cnf(241529,plain,(sdtsldt0(xk,xk)=sdtsldt0(xp,xp)|xp=sz00|~aNaturalNumber0(sdtsldt0(xp,xp))),inference(csr,[status(thm)],[166569,5068])).
% cnf(241530,plain,(sdtsldt0(xk,xk)=sdtsldt0(xp,xp)|xp=sz00),inference(csr,[status(thm)],[241529,71256])).
% cnf(241543,plain,(sdtsldt0(xp,xp)=sdtsldt0(xn,xn)|xn=sz00|xp=sz00|~aNaturalNumber0(sdtsldt0(xp,xp))),inference(spm,[status(thm)],[197577,241530,theory(equality)])).
% cnf(247733,plain,(sdtsldt0(xp,xp)=sdtsldt0(xn,xn)|xn=sz00|xp=sz00),inference(csr,[status(thm)],[241543,71256])).
% cnf(247734,plain,(sdtsldt0(xp,xp)=sdtsldt0(xn,xn)|xn=sz00),inference(csr,[status(thm)],[247733,1478])).
% cnf(247746,plain,(sdtasdt0(xn,sdtasdt0(xm,sdtsldt0(xn,xn)))=sdtasdt0(xp,xk)|xp=sz00|xn=sz00),inference(spm,[status(thm)],[171371,247734,theory(equality)])).
% cnf(250703,plain,(sdtasdt0(xn,sdtasdt0(xm,sdtsldt0(xn,xn)))=sdtasdt0(xp,xk)|xn=sz00),inference(csr,[status(thm)],[247746,1478])).
% cnf(250846,plain,(sdtasdt0(xp,xk)=sdtasdt0(xn,xm)|xr=sz00|xn=sz00),inference(spm,[status(thm)],[194407,250703,theory(equality)])).
% cnf(251146,plain,(sdtasdt0(xp,xk)=sdtasdt0(xn,xm)|xr=sz00),inference(csr,[status(thm)],[250846,66783])).
% cnf(310424,plain,(sdtsldt0(sdtasdt0(X1,xk),xr)=sdtasdt0(X1,sdtsldt0(xk,xr))|xr=sz00|~aNaturalNumber0(X1)),inference(csr,[status(thm)],[5080,66785])).
% cnf(310455,plain,(sdtsldt0(sdtasdt0(xn,xm),xr)=sdtasdt0(xp,sdtsldt0(xk,xr))|xr=sz00|~aNaturalNumber0(xp)),inference(spm,[status(thm)],[310424,251146,theory(equality)])).
% cnf(310577,plain,(sdtsldt0(sdtasdt0(xn,xm),xr)=sdtasdt0(xp,sdtsldt0(xk,xr))|xr=sz00|$false),inference(rw,[status(thm)],[310455,220,theory(equality)])).
% cnf(310578,plain,(sdtsldt0(sdtasdt0(xn,xm),xr)=sdtasdt0(xp,sdtsldt0(xk,xr))|xr=sz00),inference(cn,[status(thm)],[310577,theory(equality)])).
% cnf(310978,plain,(sdtasdt0(xp,sdtsldt0(xk,xr))=sdtasdt0(sdtsldt0(xn,xr),xm)|xr=sz00),inference(spm,[status(thm)],[61661,310578,theory(equality)])).
% cnf(311021,plain,(xr=sz00),inference(sr,[status(thm)],[310978,264,theory(equality)])).
% cnf(312966,plain,(isPrime0(sz00)),inference(rw,[status(thm)],[240,311021,theory(equality)])).
% cnf(312967,plain,($false),inference(sr,[status(thm)],[312966,267,theory(equality)])).
% cnf(312968,plain,($false),312967,['proof']).
% # SZS output end CNFRefutation
% # Processed clauses : 8024
% # ...of these trivial : 89
% # ...subsumed : 5095
% # ...remaining for further processing: 2840
% # Other redundant clauses eliminated : 61
% # Clauses deleted for lack of memory : 0
% # Backward-subsumed : 413
% # Backward-rewritten : 957
% # Generated clauses : 116537
% # ...of the previous two non-trivial : 111922
% # Contextual simplify-reflections : 4367
% # Paramodulations : 116355
% # Factorizations : 4
% # Equation resolutions : 178
% # Current number of processed clauses: 1469
% # Positive orientable unit clauses: 158
% # Positive unorientable unit clauses: 0
% # Negative unit clauses : 10
% # Non-unit-clauses : 1301
% # Current number of unprocessed clauses: 54221
% # ...number of literals in the above : 284802
% # Clause-clause subsumption calls (NU) : 159485
% # Rec. Clause-clause subsumption calls : 105546
% # Unit Clause-clause subsumption calls : 1997
% # Rewrite failures with RHS unbound : 0
% # Indexed BW rewrite attempts : 85
% # Indexed BW rewrite successes : 74
% # Backwards rewriting index: 932 leaves, 1.31+/-1.311 terms/leaf
% # Paramod-from index: 563 leaves, 1.20+/-1.172 terms/leaf
% # Paramod-into index: 809 leaves, 1.27+/-1.262 terms/leaf
% # -------------------------------------------------
% # User time : 6.007 s
% # System time : 0.242 s
% # Total time : 6.249 s
% # Maximum resident set size: 0 pages
% PrfWatch: 11.30 CPU 12.29 WC
% FINAL PrfWatch: 11.30 CPU 12.29 WC
% SZS output end Solution for /tmp/SystemOnTPTP11555/NUM513+1.tptp
%
%------------------------------------------------------------------------------