TSTP Solution File: NUM508+3 by SRASS---0.1
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- Process Solution
%------------------------------------------------------------------------------
% File : SRASS---0.1
% Problem : NUM508+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 : art04.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 19:44:25 EST 2010
% Result : Theorem 1.82s
% Output : Solution 1.82s
% 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/SystemOnTPTP9050/NUM508+3.tptp
% Adding relevance values
% Extracting the conjecture
% Sorting axioms by relevance
% Looking for THM ...
% found
% SZS status THM for /tmp/SystemOnTPTP9050/NUM508+3.tptp
% SZS output start Solution for /tmp/SystemOnTPTP9050/NUM508+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 9146
% TreeLimitedRun: ----------------------------------------------------------
% PrfWatch: 0.00 CPU 0.01 WC
% # Preprocessing time : 0.033 s
% # Problem is unsatisfiable (or provable), constructing proof object
% # SZS status Theorem
% # SZS output start CNFRefutation.
% fof(3, axiom,![X1]:![X2]:((aNaturalNumber0(X1)&aNaturalNumber0(X2))=>aNaturalNumber0(sdtpldt0(X1,X2))),file('/tmp/SRASS.s.p', mSortsB)).
% fof(26, axiom,![X1]:![X2]:((aNaturalNumber0(X1)&aNaturalNumber0(X2))=>((~(X1=X2)&sdtlseqdt0(X1,X2))=>iLess0(X1,X2))),file('/tmp/SRASS.s.p', mIH_03)).
% fof(36, axiom,((aNaturalNumber0(xn)&aNaturalNumber0(xm))&aNaturalNumber0(xp)),file('/tmp/SRASS.s.p', m__1837)).
% fof(37, axiom,![X1]:![X2]:![X3]:(((aNaturalNumber0(X1)&aNaturalNumber0(X2))&aNaturalNumber0(X3))=>(((((~(X3=sz00)&~(X3=sz10))&![X4]:(((aNaturalNumber0(X4)&?[X5]:(aNaturalNumber0(X5)&X3=sdtasdt0(X4,X5)))&doDivides0(X4,X3))=>(X4=sz10|X4=X3)))|isPrime0(X3))&(?[X4]:(aNaturalNumber0(X4)&sdtasdt0(X1,X2)=sdtasdt0(X3,X4))|doDivides0(X3,sdtasdt0(X1,X2))))=>(iLess0(sdtpldt0(sdtpldt0(X1,X2),X3),sdtpldt0(sdtpldt0(xn,xm),xp))=>((?[X4]:(aNaturalNumber0(X4)&X1=sdtasdt0(X3,X4))&doDivides0(X3,X1))|(?[X4]:(aNaturalNumber0(X4)&X2=sdtasdt0(X3,X4))&doDivides0(X3,X2)))))),file('/tmp/SRASS.s.p', m__1799)).
% fof(42, axiom,((aNaturalNumber0(xk)&sdtasdt0(xn,xm)=sdtasdt0(xp,xk))&xk=sdtsldt0(sdtasdt0(xn,xm),xp)),file('/tmp/SRASS.s.p', m__2306)).
% fof(45, axiom,((((((aNaturalNumber0(xr)&?[X1]:(aNaturalNumber0(X1)&xk=sdtasdt0(xr,X1)))&doDivides0(xr,xk))&~(xr=sz00))&~(xr=sz10))&![X1]:((aNaturalNumber0(X1)&(?[X2]:(aNaturalNumber0(X2)&xr=sdtasdt0(X1,X2))|doDivides0(X1,xr)))=>(X1=sz10|X1=xr)))&isPrime0(xr)),file('/tmp/SRASS.s.p', m__2342)).
% fof(46, axiom,((?[X1]:(aNaturalNumber0(X1)&sdtpldt0(xr,X1)=xk)&?[X1]:(aNaturalNumber0(X1)&sdtasdt0(xn,xm)=sdtasdt0(xr,X1)))&doDivides0(xr,sdtasdt0(xn,xm))),file('/tmp/SRASS.s.p', m__2362)).
% fof(48, axiom,((~(sdtpldt0(sdtpldt0(xn,xm),xr)=sdtpldt0(sdtpldt0(xn,xm),xp))&?[X1]:(aNaturalNumber0(X1)&sdtpldt0(sdtpldt0(sdtpldt0(xn,xm),xr),X1)=sdtpldt0(sdtpldt0(xn,xm),xp)))&sdtlseqdt0(sdtpldt0(sdtpldt0(xn,xm),xr),sdtpldt0(sdtpldt0(xn,xm),xp))),file('/tmp/SRASS.s.p', m__2478)).
% fof(52, conjecture,(((?[X1]:(aNaturalNumber0(X1)&xn=sdtasdt0(xr,X1))|doDivides0(xr,xn))|?[X1]:(aNaturalNumber0(X1)&xm=sdtasdt0(xr,X1)))|doDivides0(xr,xm)),file('/tmp/SRASS.s.p', m__)).
% fof(53, negated_conjecture,~((((?[X1]:(aNaturalNumber0(X1)&xn=sdtasdt0(xr,X1))|doDivides0(xr,xn))|?[X1]:(aNaturalNumber0(X1)&xm=sdtasdt0(xr,X1)))|doDivides0(xr,xm))),inference(assume_negation,[status(cth)],[52])).
% fof(59, plain,![X1]:![X2]:((~(aNaturalNumber0(X1))|~(aNaturalNumber0(X2)))|aNaturalNumber0(sdtpldt0(X1,X2))),inference(fof_nnf,[status(thm)],[3])).
% fof(60, plain,![X3]:![X4]:((~(aNaturalNumber0(X3))|~(aNaturalNumber0(X4)))|aNaturalNumber0(sdtpldt0(X3,X4))),inference(variable_rename,[status(thm)],[59])).
% cnf(61,plain,(aNaturalNumber0(sdtpldt0(X1,X2))|~aNaturalNumber0(X2)|~aNaturalNumber0(X1)),inference(split_conjunct,[status(thm)],[60])).
% fof(161, plain,![X1]:![X2]:((~(aNaturalNumber0(X1))|~(aNaturalNumber0(X2)))|((X1=X2|~(sdtlseqdt0(X1,X2)))|iLess0(X1,X2))),inference(fof_nnf,[status(thm)],[26])).
% fof(162, plain,![X3]:![X4]:((~(aNaturalNumber0(X3))|~(aNaturalNumber0(X4)))|((X3=X4|~(sdtlseqdt0(X3,X4)))|iLess0(X3,X4))),inference(variable_rename,[status(thm)],[161])).
% cnf(163,plain,(iLess0(X1,X2)|X1=X2|~sdtlseqdt0(X1,X2)|~aNaturalNumber0(X2)|~aNaturalNumber0(X1)),inference(split_conjunct,[status(thm)],[162])).
% cnf(215,plain,(aNaturalNumber0(xm)),inference(split_conjunct,[status(thm)],[36])).
% cnf(216,plain,(aNaturalNumber0(xn)),inference(split_conjunct,[status(thm)],[36])).
% fof(217, plain,![X1]:![X2]:![X3]:(((~(aNaturalNumber0(X1))|~(aNaturalNumber0(X2)))|~(aNaturalNumber0(X3)))|(((((X3=sz00|X3=sz10)|?[X4]:(((aNaturalNumber0(X4)&?[X5]:(aNaturalNumber0(X5)&X3=sdtasdt0(X4,X5)))&doDivides0(X4,X3))&(~(X4=sz10)&~(X4=X3))))&~(isPrime0(X3)))|(![X4]:(~(aNaturalNumber0(X4))|~(sdtasdt0(X1,X2)=sdtasdt0(X3,X4)))&~(doDivides0(X3,sdtasdt0(X1,X2)))))|(~(iLess0(sdtpldt0(sdtpldt0(X1,X2),X3),sdtpldt0(sdtpldt0(xn,xm),xp)))|((?[X4]:(aNaturalNumber0(X4)&X1=sdtasdt0(X3,X4))&doDivides0(X3,X1))|(?[X4]:(aNaturalNumber0(X4)&X2=sdtasdt0(X3,X4))&doDivides0(X3,X2)))))),inference(fof_nnf,[status(thm)],[37])).
% fof(218, plain,![X6]:![X7]:![X8]:(((~(aNaturalNumber0(X6))|~(aNaturalNumber0(X7)))|~(aNaturalNumber0(X8)))|(((((X8=sz00|X8=sz10)|?[X9]:(((aNaturalNumber0(X9)&?[X10]:(aNaturalNumber0(X10)&X8=sdtasdt0(X9,X10)))&doDivides0(X9,X8))&(~(X9=sz10)&~(X9=X8))))&~(isPrime0(X8)))|(![X11]:(~(aNaturalNumber0(X11))|~(sdtasdt0(X6,X7)=sdtasdt0(X8,X11)))&~(doDivides0(X8,sdtasdt0(X6,X7)))))|(~(iLess0(sdtpldt0(sdtpldt0(X6,X7),X8),sdtpldt0(sdtpldt0(xn,xm),xp)))|((?[X12]:(aNaturalNumber0(X12)&X6=sdtasdt0(X8,X12))&doDivides0(X8,X6))|(?[X13]:(aNaturalNumber0(X13)&X7=sdtasdt0(X8,X13))&doDivides0(X8,X7)))))),inference(variable_rename,[status(thm)],[217])).
% fof(219, plain,![X6]:![X7]:![X8]:(((~(aNaturalNumber0(X6))|~(aNaturalNumber0(X7)))|~(aNaturalNumber0(X8)))|(((((X8=sz00|X8=sz10)|(((aNaturalNumber0(esk5_3(X6,X7,X8))&(aNaturalNumber0(esk6_3(X6,X7,X8))&X8=sdtasdt0(esk5_3(X6,X7,X8),esk6_3(X6,X7,X8))))&doDivides0(esk5_3(X6,X7,X8),X8))&(~(esk5_3(X6,X7,X8)=sz10)&~(esk5_3(X6,X7,X8)=X8))))&~(isPrime0(X8)))|(![X11]:(~(aNaturalNumber0(X11))|~(sdtasdt0(X6,X7)=sdtasdt0(X8,X11)))&~(doDivides0(X8,sdtasdt0(X6,X7)))))|(~(iLess0(sdtpldt0(sdtpldt0(X6,X7),X8),sdtpldt0(sdtpldt0(xn,xm),xp)))|(((aNaturalNumber0(esk7_3(X6,X7,X8))&X6=sdtasdt0(X8,esk7_3(X6,X7,X8)))&doDivides0(X8,X6))|((aNaturalNumber0(esk8_3(X6,X7,X8))&X7=sdtasdt0(X8,esk8_3(X6,X7,X8)))&doDivides0(X8,X7)))))),inference(skolemize,[status(esa)],[218])).
% fof(220, plain,![X6]:![X7]:![X8]:![X11]:(((((~(aNaturalNumber0(X11))|~(sdtasdt0(X6,X7)=sdtasdt0(X8,X11)))&~(doDivides0(X8,sdtasdt0(X6,X7))))|(((X8=sz00|X8=sz10)|(((aNaturalNumber0(esk5_3(X6,X7,X8))&(aNaturalNumber0(esk6_3(X6,X7,X8))&X8=sdtasdt0(esk5_3(X6,X7,X8),esk6_3(X6,X7,X8))))&doDivides0(esk5_3(X6,X7,X8),X8))&(~(esk5_3(X6,X7,X8)=sz10)&~(esk5_3(X6,X7,X8)=X8))))&~(isPrime0(X8))))|(~(iLess0(sdtpldt0(sdtpldt0(X6,X7),X8),sdtpldt0(sdtpldt0(xn,xm),xp)))|(((aNaturalNumber0(esk7_3(X6,X7,X8))&X6=sdtasdt0(X8,esk7_3(X6,X7,X8)))&doDivides0(X8,X6))|((aNaturalNumber0(esk8_3(X6,X7,X8))&X7=sdtasdt0(X8,esk8_3(X6,X7,X8)))&doDivides0(X8,X7)))))|((~(aNaturalNumber0(X6))|~(aNaturalNumber0(X7)))|~(aNaturalNumber0(X8)))),inference(shift_quantors,[status(thm)],[219])).
% fof(221, plain,![X6]:![X7]:![X8]:![X11]:(((((((((((((aNaturalNumber0(esk8_3(X6,X7,X8))|aNaturalNumber0(esk7_3(X6,X7,X8)))|~(iLess0(sdtpldt0(sdtpldt0(X6,X7),X8),sdtpldt0(sdtpldt0(xn,xm),xp))))|((aNaturalNumber0(esk5_3(X6,X7,X8))|(X8=sz00|X8=sz10))|(~(aNaturalNumber0(X11))|~(sdtasdt0(X6,X7)=sdtasdt0(X8,X11)))))|((~(aNaturalNumber0(X6))|~(aNaturalNumber0(X7)))|~(aNaturalNumber0(X8))))&((((X7=sdtasdt0(X8,esk8_3(X6,X7,X8))|aNaturalNumber0(esk7_3(X6,X7,X8)))|~(iLess0(sdtpldt0(sdtpldt0(X6,X7),X8),sdtpldt0(sdtpldt0(xn,xm),xp))))|((aNaturalNumber0(esk5_3(X6,X7,X8))|(X8=sz00|X8=sz10))|(~(aNaturalNumber0(X11))|~(sdtasdt0(X6,X7)=sdtasdt0(X8,X11)))))|((~(aNaturalNumber0(X6))|~(aNaturalNumber0(X7)))|~(aNaturalNumber0(X8)))))&((((doDivides0(X8,X7)|aNaturalNumber0(esk7_3(X6,X7,X8)))|~(iLess0(sdtpldt0(sdtpldt0(X6,X7),X8),sdtpldt0(sdtpldt0(xn,xm),xp))))|((aNaturalNumber0(esk5_3(X6,X7,X8))|(X8=sz00|X8=sz10))|(~(aNaturalNumber0(X11))|~(sdtasdt0(X6,X7)=sdtasdt0(X8,X11)))))|((~(aNaturalNumber0(X6))|~(aNaturalNumber0(X7)))|~(aNaturalNumber0(X8)))))&((((((aNaturalNumber0(esk8_3(X6,X7,X8))|X6=sdtasdt0(X8,esk7_3(X6,X7,X8)))|~(iLess0(sdtpldt0(sdtpldt0(X6,X7),X8),sdtpldt0(sdtpldt0(xn,xm),xp))))|((aNaturalNumber0(esk5_3(X6,X7,X8))|(X8=sz00|X8=sz10))|(~(aNaturalNumber0(X11))|~(sdtasdt0(X6,X7)=sdtasdt0(X8,X11)))))|((~(aNaturalNumber0(X6))|~(aNaturalNumber0(X7)))|~(aNaturalNumber0(X8))))&((((X7=sdtasdt0(X8,esk8_3(X6,X7,X8))|X6=sdtasdt0(X8,esk7_3(X6,X7,X8)))|~(iLess0(sdtpldt0(sdtpldt0(X6,X7),X8),sdtpldt0(sdtpldt0(xn,xm),xp))))|((aNaturalNumber0(esk5_3(X6,X7,X8))|(X8=sz00|X8=sz10))|(~(aNaturalNumber0(X11))|~(sdtasdt0(X6,X7)=sdtasdt0(X8,X11)))))|((~(aNaturalNumber0(X6))|~(aNaturalNumber0(X7)))|~(aNaturalNumber0(X8)))))&((((doDivides0(X8,X7)|X6=sdtasdt0(X8,esk7_3(X6,X7,X8)))|~(iLess0(sdtpldt0(sdtpldt0(X6,X7),X8),sdtpldt0(sdtpldt0(xn,xm),xp))))|((aNaturalNumber0(esk5_3(X6,X7,X8))|(X8=sz00|X8=sz10))|(~(aNaturalNumber0(X11))|~(sdtasdt0(X6,X7)=sdtasdt0(X8,X11)))))|((~(aNaturalNumber0(X6))|~(aNaturalNumber0(X7)))|~(aNaturalNumber0(X8))))))&((((((aNaturalNumber0(esk8_3(X6,X7,X8))|doDivides0(X8,X6))|~(iLess0(sdtpldt0(sdtpldt0(X6,X7),X8),sdtpldt0(sdtpldt0(xn,xm),xp))))|((aNaturalNumber0(esk5_3(X6,X7,X8))|(X8=sz00|X8=sz10))|(~(aNaturalNumber0(X11))|~(sdtasdt0(X6,X7)=sdtasdt0(X8,X11)))))|((~(aNaturalNumber0(X6))|~(aNaturalNumber0(X7)))|~(aNaturalNumber0(X8))))&((((X7=sdtasdt0(X8,esk8_3(X6,X7,X8))|doDivides0(X8,X6))|~(iLess0(sdtpldt0(sdtpldt0(X6,X7),X8),sdtpldt0(sdtpldt0(xn,xm),xp))))|((aNaturalNumber0(esk5_3(X6,X7,X8))|(X8=sz00|X8=sz10))|(~(aNaturalNumber0(X11))|~(sdtasdt0(X6,X7)=sdtasdt0(X8,X11)))))|((~(aNaturalNumber0(X6))|~(aNaturalNumber0(X7)))|~(aNaturalNumber0(X8)))))&((((doDivides0(X8,X7)|doDivides0(X8,X6))|~(iLess0(sdtpldt0(sdtpldt0(X6,X7),X8),sdtpldt0(sdtpldt0(xn,xm),xp))))|((aNaturalNumber0(esk5_3(X6,X7,X8))|(X8=sz00|X8=sz10))|(~(aNaturalNumber0(X11))|~(sdtasdt0(X6,X7)=sdtasdt0(X8,X11)))))|((~(aNaturalNumber0(X6))|~(aNaturalNumber0(X7)))|~(aNaturalNumber0(X8))))))&(((((((((aNaturalNumber0(esk8_3(X6,X7,X8))|aNaturalNumber0(esk7_3(X6,X7,X8)))|~(iLess0(sdtpldt0(sdtpldt0(X6,X7),X8),sdtpldt0(sdtpldt0(xn,xm),xp))))|((aNaturalNumber0(esk6_3(X6,X7,X8))|(X8=sz00|X8=sz10))|(~(aNaturalNumber0(X11))|~(sdtasdt0(X6,X7)=sdtasdt0(X8,X11)))))|((~(aNaturalNumber0(X6))|~(aNaturalNumber0(X7)))|~(aNaturalNumber0(X8))))&((((X7=sdtasdt0(X8,esk8_3(X6,X7,X8))|aNaturalNumber0(esk7_3(X6,X7,X8)))|~(iLess0(sdtpldt0(sdtpldt0(X6,X7),X8),sdtpldt0(sdtpldt0(xn,xm),xp))))|((aNaturalNumber0(esk6_3(X6,X7,X8))|(X8=sz00|X8=sz10))|(~(aNaturalNumber0(X11))|~(sdtasdt0(X6,X7)=sdtasdt0(X8,X11)))))|((~(aNaturalNumber0(X6))|~(aNaturalNumber0(X7)))|~(aNaturalNumber0(X8)))))&((((doDivides0(X8,X7)|aNaturalNumber0(esk7_3(X6,X7,X8)))|~(iLess0(sdtpldt0(sdtpldt0(X6,X7),X8),sdtpldt0(sdtpldt0(xn,xm),xp))))|((aNaturalNumber0(esk6_3(X6,X7,X8))|(X8=sz00|X8=sz10))|(~(aNaturalNumber0(X11))|~(sdtasdt0(X6,X7)=sdtasdt0(X8,X11)))))|((~(aNaturalNumber0(X6))|~(aNaturalNumber0(X7)))|~(aNaturalNumber0(X8)))))&((((((aNaturalNumber0(esk8_3(X6,X7,X8))|X6=sdtasdt0(X8,esk7_3(X6,X7,X8)))|~(iLess0(sdtpldt0(sdtpldt0(X6,X7),X8),sdtpldt0(sdtpldt0(xn,xm),xp))))|((aNaturalNumber0(esk6_3(X6,X7,X8))|(X8=sz00|X8=sz10))|(~(aNaturalNumber0(X11))|~(sdtasdt0(X6,X7)=sdtasdt0(X8,X11)))))|((~(aNaturalNumber0(X6))|~(aNaturalNumber0(X7)))|~(aNaturalNumber0(X8))))&((((X7=sdtasdt0(X8,esk8_3(X6,X7,X8))|X6=sdtasdt0(X8,esk7_3(X6,X7,X8)))|~(iLess0(sdtpldt0(sdtpldt0(X6,X7),X8),sdtpldt0(sdtpldt0(xn,xm),xp))))|((aNaturalNumber0(esk6_3(X6,X7,X8))|(X8=sz00|X8=sz10))|(~(aNaturalNumber0(X11))|~(sdtasdt0(X6,X7)=sdtasdt0(X8,X11)))))|((~(aNaturalNumber0(X6))|~(aNaturalNumber0(X7)))|~(aNaturalNumber0(X8)))))&((((doDivides0(X8,X7)|X6=sdtasdt0(X8,esk7_3(X6,X7,X8)))|~(iLess0(sdtpldt0(sdtpldt0(X6,X7),X8),sdtpldt0(sdtpldt0(xn,xm),xp))))|((aNaturalNumber0(esk6_3(X6,X7,X8))|(X8=sz00|X8=sz10))|(~(aNaturalNumber0(X11))|~(sdtasdt0(X6,X7)=sdtasdt0(X8,X11)))))|((~(aNaturalNumber0(X6))|~(aNaturalNumber0(X7)))|~(aNaturalNumber0(X8))))))&((((((aNaturalNumber0(esk8_3(X6,X7,X8))|doDivides0(X8,X6))|~(iLess0(sdtpldt0(sdtpldt0(X6,X7),X8),sdtpldt0(sdtpldt0(xn,xm),xp))))|((aNaturalNumber0(esk6_3(X6,X7,X8))|(X8=sz00|X8=sz10))|(~(aNaturalNumber0(X11))|~(sdtasdt0(X6,X7)=sdtasdt0(X8,X11)))))|((~(aNaturalNumber0(X6))|~(aNaturalNumber0(X7)))|~(aNaturalNumber0(X8))))&((((X7=sdtasdt0(X8,esk8_3(X6,X7,X8))|doDivides0(X8,X6))|~(iLess0(sdtpldt0(sdtpldt0(X6,X7),X8),sdtpldt0(sdtpldt0(xn,xm),xp))))|((aNaturalNumber0(esk6_3(X6,X7,X8))|(X8=sz00|X8=sz10))|(~(aNaturalNumber0(X11))|~(sdtasdt0(X6,X7)=sdtasdt0(X8,X11)))))|((~(aNaturalNumber0(X6))|~(aNaturalNumber0(X7)))|~(aNaturalNumber0(X8)))))&((((doDivides0(X8,X7)|doDivides0(X8,X6))|~(iLess0(sdtpldt0(sdtpldt0(X6,X7),X8),sdtpldt0(sdtpldt0(xn,xm),xp))))|((aNaturalNumber0(esk6_3(X6,X7,X8))|(X8=sz00|X8=sz10))|(~(aNaturalNumber0(X11))|~(sdtasdt0(X6,X7)=sdtasdt0(X8,X11)))))|((~(aNaturalNumber0(X6))|~(aNaturalNumber0(X7)))|~(aNaturalNumber0(X8))))))&((((((((aNaturalNumber0(esk8_3(X6,X7,X8))|aNaturalNumber0(esk7_3(X6,X7,X8)))|~(iLess0(sdtpldt0(sdtpldt0(X6,X7),X8),sdtpldt0(sdtpldt0(xn,xm),xp))))|((X8=sdtasdt0(esk5_3(X6,X7,X8),esk6_3(X6,X7,X8))|(X8=sz00|X8=sz10))|(~(aNaturalNumber0(X11))|~(sdtasdt0(X6,X7)=sdtasdt0(X8,X11)))))|((~(aNaturalNumber0(X6))|~(aNaturalNumber0(X7)))|~(aNaturalNumber0(X8))))&((((X7=sdtasdt0(X8,esk8_3(X6,X7,X8))|aNaturalNumber0(esk7_3(X6,X7,X8)))|~(iLess0(sdtpldt0(sdtpldt0(X6,X7),X8),sdtpldt0(sdtpldt0(xn,xm),xp))))|((X8=sdtasdt0(esk5_3(X6,X7,X8),esk6_3(X6,X7,X8))|(X8=sz00|X8=sz10))|(~(aNaturalNumber0(X11))|~(sdtasdt0(X6,X7)=sdtasdt0(X8,X11)))))|((~(aNaturalNumber0(X6))|~(aNaturalNumber0(X7)))|~(aNaturalNumber0(X8)))))&((((doDivides0(X8,X7)|aNaturalNumber0(esk7_3(X6,X7,X8)))|~(iLess0(sdtpldt0(sdtpldt0(X6,X7),X8),sdtpldt0(sdtpldt0(xn,xm),xp))))|((X8=sdtasdt0(esk5_3(X6,X7,X8),esk6_3(X6,X7,X8))|(X8=sz00|X8=sz10))|(~(aNaturalNumber0(X11))|~(sdtasdt0(X6,X7)=sdtasdt0(X8,X11)))))|((~(aNaturalNumber0(X6))|~(aNaturalNumber0(X7)))|~(aNaturalNumber0(X8)))))&((((((aNaturalNumber0(esk8_3(X6,X7,X8))|X6=sdtasdt0(X8,esk7_3(X6,X7,X8)))|~(iLess0(sdtpldt0(sdtpldt0(X6,X7),X8),sdtpldt0(sdtpldt0(xn,xm),xp))))|((X8=sdtasdt0(esk5_3(X6,X7,X8),esk6_3(X6,X7,X8))|(X8=sz00|X8=sz10))|(~(aNaturalNumber0(X11))|~(sdtasdt0(X6,X7)=sdtasdt0(X8,X11)))))|((~(aNaturalNumber0(X6))|~(aNaturalNumber0(X7)))|~(aNaturalNumber0(X8))))&((((X7=sdtasdt0(X8,esk8_3(X6,X7,X8))|X6=sdtasdt0(X8,esk7_3(X6,X7,X8)))|~(iLess0(sdtpldt0(sdtpldt0(X6,X7),X8),sdtpldt0(sdtpldt0(xn,xm),xp))))|((X8=sdtasdt0(esk5_3(X6,X7,X8),esk6_3(X6,X7,X8))|(X8=sz00|X8=sz10))|(~(aNaturalNumber0(X11))|~(sdtasdt0(X6,X7)=sdtasdt0(X8,X11)))))|((~(aNaturalNumber0(X6))|~(aNaturalNumber0(X7)))|~(aNaturalNumber0(X8)))))&((((doDivides0(X8,X7)|X6=sdtasdt0(X8,esk7_3(X6,X7,X8)))|~(iLess0(sdtpldt0(sdtpldt0(X6,X7),X8),sdtpldt0(sdtpldt0(xn,xm),xp))))|((X8=sdtasdt0(esk5_3(X6,X7,X8),esk6_3(X6,X7,X8))|(X8=sz00|X8=sz10))|(~(aNaturalNumber0(X11))|~(sdtasdt0(X6,X7)=sdtasdt0(X8,X11)))))|((~(aNaturalNumber0(X6))|~(aNaturalNumber0(X7)))|~(aNaturalNumber0(X8))))))&((((((aNaturalNumber0(esk8_3(X6,X7,X8))|doDivides0(X8,X6))|~(iLess0(sdtpldt0(sdtpldt0(X6,X7),X8),sdtpldt0(sdtpldt0(xn,xm),xp))))|((X8=sdtasdt0(esk5_3(X6,X7,X8),esk6_3(X6,X7,X8))|(X8=sz00|X8=sz10))|(~(aNaturalNumber0(X11))|~(sdtasdt0(X6,X7)=sdtasdt0(X8,X11)))))|((~(aNaturalNumber0(X6))|~(aNaturalNumber0(X7)))|~(aNaturalNumber0(X8))))&((((X7=sdtasdt0(X8,esk8_3(X6,X7,X8))|doDivides0(X8,X6))|~(iLess0(sdtpldt0(sdtpldt0(X6,X7),X8),sdtpldt0(sdtpldt0(xn,xm),xp))))|((X8=sdtasdt0(esk5_3(X6,X7,X8),esk6_3(X6,X7,X8))|(X8=sz00|X8=sz10))|(~(aNaturalNumber0(X11))|~(sdtasdt0(X6,X7)=sdtasdt0(X8,X11)))))|((~(aNaturalNumber0(X6))|~(aNaturalNumber0(X7)))|~(aNaturalNumber0(X8)))))&((((doDivides0(X8,X7)|doDivides0(X8,X6))|~(iLess0(sdtpldt0(sdtpldt0(X6,X7),X8),sdtpldt0(sdtpldt0(xn,xm),xp))))|((X8=sdtasdt0(esk5_3(X6,X7,X8),esk6_3(X6,X7,X8))|(X8=sz00|X8=sz10))|(~(aNaturalNumber0(X11))|~(sdtasdt0(X6,X7)=sdtasdt0(X8,X11)))))|((~(aNaturalNumber0(X6))|~(aNaturalNumber0(X7)))|~(aNaturalNumber0(X8))))))))&((((((((aNaturalNumber0(esk8_3(X6,X7,X8))|aNaturalNumber0(esk7_3(X6,X7,X8)))|~(iLess0(sdtpldt0(sdtpldt0(X6,X7),X8),sdtpldt0(sdtpldt0(xn,xm),xp))))|((doDivides0(esk5_3(X6,X7,X8),X8)|(X8=sz00|X8=sz10))|(~(aNaturalNumber0(X11))|~(sdtasdt0(X6,X7)=sdtasdt0(X8,X11)))))|((~(aNaturalNumber0(X6))|~(aNaturalNumber0(X7)))|~(aNaturalNumber0(X8))))&((((X7=sdtasdt0(X8,esk8_3(X6,X7,X8))|aNaturalNumber0(esk7_3(X6,X7,X8)))|~(iLess0(sdtpldt0(sdtpldt0(X6,X7),X8),sdtpldt0(sdtpldt0(xn,xm),xp))))|((doDivides0(esk5_3(X6,X7,X8),X8)|(X8=sz00|X8=sz10))|(~(aNaturalNumber0(X11))|~(sdtasdt0(X6,X7)=sdtasdt0(X8,X11)))))|((~(aNaturalNumber0(X6))|~(aNaturalNumber0(X7)))|~(aNaturalNumber0(X8)))))&((((doDivides0(X8,X7)|aNaturalNumber0(esk7_3(X6,X7,X8)))|~(iLess0(sdtpldt0(sdtpldt0(X6,X7),X8),sdtpldt0(sdtpldt0(xn,xm),xp))))|((doDivides0(esk5_3(X6,X7,X8),X8)|(X8=sz00|X8=sz10))|(~(aNaturalNumber0(X11))|~(sdtasdt0(X6,X7)=sdtasdt0(X8,X11)))))|((~(aNaturalNumber0(X6))|~(aNaturalNumber0(X7)))|~(aNaturalNumber0(X8)))))&((((((aNaturalNumber0(esk8_3(X6,X7,X8))|X6=sdtasdt0(X8,esk7_3(X6,X7,X8)))|~(iLess0(sdtpldt0(sdtpldt0(X6,X7),X8),sdtpldt0(sdtpldt0(xn,xm),xp))))|((doDivides0(esk5_3(X6,X7,X8),X8)|(X8=sz00|X8=sz10))|(~(aNaturalNumber0(X11))|~(sdtasdt0(X6,X7)=sdtasdt0(X8,X11)))))|((~(aNaturalNumber0(X6))|~(aNaturalNumber0(X7)))|~(aNaturalNumber0(X8))))&((((X7=sdtasdt0(X8,esk8_3(X6,X7,X8))|X6=sdtasdt0(X8,esk7_3(X6,X7,X8)))|~(iLess0(sdtpldt0(sdtpldt0(X6,X7),X8),sdtpldt0(sdtpldt0(xn,xm),xp))))|((doDivides0(esk5_3(X6,X7,X8),X8)|(X8=sz00|X8=sz10))|(~(aNaturalNumber0(X11))|~(sdtasdt0(X6,X7)=sdtasdt0(X8,X11)))))|((~(aNaturalNumber0(X6))|~(aNaturalNumber0(X7)))|~(aNaturalNumber0(X8)))))&((((doDivides0(X8,X7)|X6=sdtasdt0(X8,esk7_3(X6,X7,X8)))|~(iLess0(sdtpldt0(sdtpldt0(X6,X7),X8),sdtpldt0(sdtpldt0(xn,xm),xp))))|((doDivides0(esk5_3(X6,X7,X8),X8)|(X8=sz00|X8=sz10))|(~(aNaturalNumber0(X11))|~(sdtasdt0(X6,X7)=sdtasdt0(X8,X11)))))|((~(aNaturalNumber0(X6))|~(aNaturalNumber0(X7)))|~(aNaturalNumber0(X8))))))&((((((aNaturalNumber0(esk8_3(X6,X7,X8))|doDivides0(X8,X6))|~(iLess0(sdtpldt0(sdtpldt0(X6,X7),X8),sdtpldt0(sdtpldt0(xn,xm),xp))))|((doDivides0(esk5_3(X6,X7,X8),X8)|(X8=sz00|X8=sz10))|(~(aNaturalNumber0(X11))|~(sdtasdt0(X6,X7)=sdtasdt0(X8,X11)))))|((~(aNaturalNumber0(X6))|~(aNaturalNumber0(X7)))|~(aNaturalNumber0(X8))))&((((X7=sdtasdt0(X8,esk8_3(X6,X7,X8))|doDivides0(X8,X6))|~(iLess0(sdtpldt0(sdtpldt0(X6,X7),X8),sdtpldt0(sdtpldt0(xn,xm),xp))))|((doDivides0(esk5_3(X6,X7,X8),X8)|(X8=sz00|X8=sz10))|(~(aNaturalNumber0(X11))|~(sdtasdt0(X6,X7)=sdtasdt0(X8,X11)))))|((~(aNaturalNumber0(X6))|~(aNaturalNumber0(X7)))|~(aNaturalNumber0(X8)))))&((((doDivides0(X8,X7)|doDivides0(X8,X6))|~(iLess0(sdtpldt0(sdtpldt0(X6,X7),X8),sdtpldt0(sdtpldt0(xn,xm),xp))))|((doDivides0(esk5_3(X6,X7,X8),X8)|(X8=sz00|X8=sz10))|(~(aNaturalNumber0(X11))|~(sdtasdt0(X6,X7)=sdtasdt0(X8,X11)))))|((~(aNaturalNumber0(X6))|~(aNaturalNumber0(X7)))|~(aNaturalNumber0(X8)))))))&(((((((((aNaturalNumber0(esk8_3(X6,X7,X8))|aNaturalNumber0(esk7_3(X6,X7,X8)))|~(iLess0(sdtpldt0(sdtpldt0(X6,X7),X8),sdtpldt0(sdtpldt0(xn,xm),xp))))|((~(esk5_3(X6,X7,X8)=sz10)|(X8=sz00|X8=sz10))|(~(aNaturalNumber0(X11))|~(sdtasdt0(X6,X7)=sdtasdt0(X8,X11)))))|((~(aNaturalNumber0(X6))|~(aNaturalNumber0(X7)))|~(aNaturalNumber0(X8))))&((((X7=sdtasdt0(X8,esk8_3(X6,X7,X8))|aNaturalNumber0(esk7_3(X6,X7,X8)))|~(iLess0(sdtpldt0(sdtpldt0(X6,X7),X8),sdtpldt0(sdtpldt0(xn,xm),xp))))|((~(esk5_3(X6,X7,X8)=sz10)|(X8=sz00|X8=sz10))|(~(aNaturalNumber0(X11))|~(sdtasdt0(X6,X7)=sdtasdt0(X8,X11)))))|((~(aNaturalNumber0(X6))|~(aNaturalNumber0(X7)))|~(aNaturalNumber0(X8)))))&((((doDivides0(X8,X7)|aNaturalNumber0(esk7_3(X6,X7,X8)))|~(iLess0(sdtpldt0(sdtpldt0(X6,X7),X8),sdtpldt0(sdtpldt0(xn,xm),xp))))|((~(esk5_3(X6,X7,X8)=sz10)|(X8=sz00|X8=sz10))|(~(aNaturalNumber0(X11))|~(sdtasdt0(X6,X7)=sdtasdt0(X8,X11)))))|((~(aNaturalNumber0(X6))|~(aNaturalNumber0(X7)))|~(aNaturalNumber0(X8)))))&((((((aNaturalNumber0(esk8_3(X6,X7,X8))|X6=sdtasdt0(X8,esk7_3(X6,X7,X8)))|~(iLess0(sdtpldt0(sdtpldt0(X6,X7),X8),sdtpldt0(sdtpldt0(xn,xm),xp))))|((~(esk5_3(X6,X7,X8)=sz10)|(X8=sz00|X8=sz10))|(~(aNaturalNumber0(X11))|~(sdtasdt0(X6,X7)=sdtasdt0(X8,X11)))))|((~(aNaturalNumber0(X6))|~(aNaturalNumber0(X7)))|~(aNaturalNumber0(X8))))&((((X7=sdtasdt0(X8,esk8_3(X6,X7,X8))|X6=sdtasdt0(X8,esk7_3(X6,X7,X8)))|~(iLess0(sdtpldt0(sdtpldt0(X6,X7),X8),sdtpldt0(sdtpldt0(xn,xm),xp))))|((~(esk5_3(X6,X7,X8)=sz10)|(X8=sz00|X8=sz10))|(~(aNaturalNumber0(X11))|~(sdtasdt0(X6,X7)=sdtasdt0(X8,X11)))))|((~(aNaturalNumber0(X6))|~(aNaturalNumber0(X7)))|~(aNaturalNumber0(X8)))))&((((doDivides0(X8,X7)|X6=sdtasdt0(X8,esk7_3(X6,X7,X8)))|~(iLess0(sdtpldt0(sdtpldt0(X6,X7),X8),sdtpldt0(sdtpldt0(xn,xm),xp))))|((~(esk5_3(X6,X7,X8)=sz10)|(X8=sz00|X8=sz10))|(~(aNaturalNumber0(X11))|~(sdtasdt0(X6,X7)=sdtasdt0(X8,X11)))))|((~(aNaturalNumber0(X6))|~(aNaturalNumber0(X7)))|~(aNaturalNumber0(X8))))))&((((((aNaturalNumber0(esk8_3(X6,X7,X8))|doDivides0(X8,X6))|~(iLess0(sdtpldt0(sdtpldt0(X6,X7),X8),sdtpldt0(sdtpldt0(xn,xm),xp))))|((~(esk5_3(X6,X7,X8)=sz10)|(X8=sz00|X8=sz10))|(~(aNaturalNumber0(X11))|~(sdtasdt0(X6,X7)=sdtasdt0(X8,X11)))))|((~(aNaturalNumber0(X6))|~(aNaturalNumber0(X7)))|~(aNaturalNumber0(X8))))&((((X7=sdtasdt0(X8,esk8_3(X6,X7,X8))|doDivides0(X8,X6))|~(iLess0(sdtpldt0(sdtpldt0(X6,X7),X8),sdtpldt0(sdtpldt0(xn,xm),xp))))|((~(esk5_3(X6,X7,X8)=sz10)|(X8=sz00|X8=sz10))|(~(aNaturalNumber0(X11))|~(sdtasdt0(X6,X7)=sdtasdt0(X8,X11)))))|((~(aNaturalNumber0(X6))|~(aNaturalNumber0(X7)))|~(aNaturalNumber0(X8)))))&((((doDivides0(X8,X7)|doDivides0(X8,X6))|~(iLess0(sdtpldt0(sdtpldt0(X6,X7),X8),sdtpldt0(sdtpldt0(xn,xm),xp))))|((~(esk5_3(X6,X7,X8)=sz10)|(X8=sz00|X8=sz10))|(~(aNaturalNumber0(X11))|~(sdtasdt0(X6,X7)=sdtasdt0(X8,X11)))))|((~(aNaturalNumber0(X6))|~(aNaturalNumber0(X7)))|~(aNaturalNumber0(X8))))))&((((((((aNaturalNumber0(esk8_3(X6,X7,X8))|aNaturalNumber0(esk7_3(X6,X7,X8)))|~(iLess0(sdtpldt0(sdtpldt0(X6,X7),X8),sdtpldt0(sdtpldt0(xn,xm),xp))))|((~(esk5_3(X6,X7,X8)=X8)|(X8=sz00|X8=sz10))|(~(aNaturalNumber0(X11))|~(sdtasdt0(X6,X7)=sdtasdt0(X8,X11)))))|((~(aNaturalNumber0(X6))|~(aNaturalNumber0(X7)))|~(aNaturalNumber0(X8))))&((((X7=sdtasdt0(X8,esk8_3(X6,X7,X8))|aNaturalNumber0(esk7_3(X6,X7,X8)))|~(iLess0(sdtpldt0(sdtpldt0(X6,X7),X8),sdtpldt0(sdtpldt0(xn,xm),xp))))|((~(esk5_3(X6,X7,X8)=X8)|(X8=sz00|X8=sz10))|(~(aNaturalNumber0(X11))|~(sdtasdt0(X6,X7)=sdtasdt0(X8,X11)))))|((~(aNaturalNumber0(X6))|~(aNaturalNumber0(X7)))|~(aNaturalNumber0(X8)))))&((((doDivides0(X8,X7)|aNaturalNumber0(esk7_3(X6,X7,X8)))|~(iLess0(sdtpldt0(sdtpldt0(X6,X7),X8),sdtpldt0(sdtpldt0(xn,xm),xp))))|((~(esk5_3(X6,X7,X8)=X8)|(X8=sz00|X8=sz10))|(~(aNaturalNumber0(X11))|~(sdtasdt0(X6,X7)=sdtasdt0(X8,X11)))))|((~(aNaturalNumber0(X6))|~(aNaturalNumber0(X7)))|~(aNaturalNumber0(X8)))))&((((((aNaturalNumber0(esk8_3(X6,X7,X8))|X6=sdtasdt0(X8,esk7_3(X6,X7,X8)))|~(iLess0(sdtpldt0(sdtpldt0(X6,X7),X8),sdtpldt0(sdtpldt0(xn,xm),xp))))|((~(esk5_3(X6,X7,X8)=X8)|(X8=sz00|X8=sz10))|(~(aNaturalNumber0(X11))|~(sdtasdt0(X6,X7)=sdtasdt0(X8,X11)))))|((~(aNaturalNumber0(X6))|~(aNaturalNumber0(X7)))|~(aNaturalNumber0(X8))))&((((X7=sdtasdt0(X8,esk8_3(X6,X7,X8))|X6=sdtasdt0(X8,esk7_3(X6,X7,X8)))|~(iLess0(sdtpldt0(sdtpldt0(X6,X7),X8),sdtpldt0(sdtpldt0(xn,xm),xp))))|((~(esk5_3(X6,X7,X8)=X8)|(X8=sz00|X8=sz10))|(~(aNaturalNumber0(X11))|~(sdtasdt0(X6,X7)=sdtasdt0(X8,X11)))))|((~(aNaturalNumber0(X6))|~(aNaturalNumber0(X7)))|~(aNaturalNumber0(X8)))))&((((doDivides0(X8,X7)|X6=sdtasdt0(X8,esk7_3(X6,X7,X8)))|~(iLess0(sdtpldt0(sdtpldt0(X6,X7),X8),sdtpldt0(sdtpldt0(xn,xm),xp))))|((~(esk5_3(X6,X7,X8)=X8)|(X8=sz00|X8=sz10))|(~(aNaturalNumber0(X11))|~(sdtasdt0(X6,X7)=sdtasdt0(X8,X11)))))|((~(aNaturalNumber0(X6))|~(aNaturalNumber0(X7)))|~(aNaturalNumber0(X8))))))&((((((aNaturalNumber0(esk8_3(X6,X7,X8))|doDivides0(X8,X6))|~(iLess0(sdtpldt0(sdtpldt0(X6,X7),X8),sdtpldt0(sdtpldt0(xn,xm),xp))))|((~(esk5_3(X6,X7,X8)=X8)|(X8=sz00|X8=sz10))|(~(aNaturalNumber0(X11))|~(sdtasdt0(X6,X7)=sdtasdt0(X8,X11)))))|((~(aNaturalNumber0(X6))|~(aNaturalNumber0(X7)))|~(aNaturalNumber0(X8))))&((((X7=sdtasdt0(X8,esk8_3(X6,X7,X8))|doDivides0(X8,X6))|~(iLess0(sdtpldt0(sdtpldt0(X6,X7),X8),sdtpldt0(sdtpldt0(xn,xm),xp))))|((~(esk5_3(X6,X7,X8)=X8)|(X8=sz00|X8=sz10))|(~(aNaturalNumber0(X11))|~(sdtasdt0(X6,X7)=sdtasdt0(X8,X11)))))|((~(aNaturalNumber0(X6))|~(aNaturalNumber0(X7)))|~(aNaturalNumber0(X8)))))&((((doDivides0(X8,X7)|doDivides0(X8,X6))|~(iLess0(sdtpldt0(sdtpldt0(X6,X7),X8),sdtpldt0(sdtpldt0(xn,xm),xp))))|((~(esk5_3(X6,X7,X8)=X8)|(X8=sz00|X8=sz10))|(~(aNaturalNumber0(X11))|~(sdtasdt0(X6,X7)=sdtasdt0(X8,X11)))))|((~(aNaturalNumber0(X6))|~(aNaturalNumber0(X7)))|~(aNaturalNumber0(X8))))))))&((((((((aNaturalNumber0(esk8_3(X6,X7,X8))|aNaturalNumber0(esk7_3(X6,X7,X8)))|~(iLess0(sdtpldt0(sdtpldt0(X6,X7),X8),sdtpldt0(sdtpldt0(xn,xm),xp))))|(~(isPrime0(X8))|(~(aNaturalNumber0(X11))|~(sdtasdt0(X6,X7)=sdtasdt0(X8,X11)))))|((~(aNaturalNumber0(X6))|~(aNaturalNumber0(X7)))|~(aNaturalNumber0(X8))))&((((X7=sdtasdt0(X8,esk8_3(X6,X7,X8))|aNaturalNumber0(esk7_3(X6,X7,X8)))|~(iLess0(sdtpldt0(sdtpldt0(X6,X7),X8),sdtpldt0(sdtpldt0(xn,xm),xp))))|(~(isPrime0(X8))|(~(aNaturalNumber0(X11))|~(sdtasdt0(X6,X7)=sdtasdt0(X8,X11)))))|((~(aNaturalNumber0(X6))|~(aNaturalNumber0(X7)))|~(aNaturalNumber0(X8)))))&((((doDivides0(X8,X7)|aNaturalNumber0(esk7_3(X6,X7,X8)))|~(iLess0(sdtpldt0(sdtpldt0(X6,X7),X8),sdtpldt0(sdtpldt0(xn,xm),xp))))|(~(isPrime0(X8))|(~(aNaturalNumber0(X11))|~(sdtasdt0(X6,X7)=sdtasdt0(X8,X11)))))|((~(aNaturalNumber0(X6))|~(aNaturalNumber0(X7)))|~(aNaturalNumber0(X8)))))&((((((aNaturalNumber0(esk8_3(X6,X7,X8))|X6=sdtasdt0(X8,esk7_3(X6,X7,X8)))|~(iLess0(sdtpldt0(sdtpldt0(X6,X7),X8),sdtpldt0(sdtpldt0(xn,xm),xp))))|(~(isPrime0(X8))|(~(aNaturalNumber0(X11))|~(sdtasdt0(X6,X7)=sdtasdt0(X8,X11)))))|((~(aNaturalNumber0(X6))|~(aNaturalNumber0(X7)))|~(aNaturalNumber0(X8))))&((((X7=sdtasdt0(X8,esk8_3(X6,X7,X8))|X6=sdtasdt0(X8,esk7_3(X6,X7,X8)))|~(iLess0(sdtpldt0(sdtpldt0(X6,X7),X8),sdtpldt0(sdtpldt0(xn,xm),xp))))|(~(isPrime0(X8))|(~(aNaturalNumber0(X11))|~(sdtasdt0(X6,X7)=sdtasdt0(X8,X11)))))|((~(aNaturalNumber0(X6))|~(aNaturalNumber0(X7)))|~(aNaturalNumber0(X8)))))&((((doDivides0(X8,X7)|X6=sdtasdt0(X8,esk7_3(X6,X7,X8)))|~(iLess0(sdtpldt0(sdtpldt0(X6,X7),X8),sdtpldt0(sdtpldt0(xn,xm),xp))))|(~(isPrime0(X8))|(~(aNaturalNumber0(X11))|~(sdtasdt0(X6,X7)=sdtasdt0(X8,X11)))))|((~(aNaturalNumber0(X6))|~(aNaturalNumber0(X7)))|~(aNaturalNumber0(X8))))))&((((((aNaturalNumber0(esk8_3(X6,X7,X8))|doDivides0(X8,X6))|~(iLess0(sdtpldt0(sdtpldt0(X6,X7),X8),sdtpldt0(sdtpldt0(xn,xm),xp))))|(~(isPrime0(X8))|(~(aNaturalNumber0(X11))|~(sdtasdt0(X6,X7)=sdtasdt0(X8,X11)))))|((~(aNaturalNumber0(X6))|~(aNaturalNumber0(X7)))|~(aNaturalNumber0(X8))))&((((X7=sdtasdt0(X8,esk8_3(X6,X7,X8))|doDivides0(X8,X6))|~(iLess0(sdtpldt0(sdtpldt0(X6,X7),X8),sdtpldt0(sdtpldt0(xn,xm),xp))))|(~(isPrime0(X8))|(~(aNaturalNumber0(X11))|~(sdtasdt0(X6,X7)=sdtasdt0(X8,X11)))))|((~(aNaturalNumber0(X6))|~(aNaturalNumber0(X7)))|~(aNaturalNumber0(X8)))))&((((doDivides0(X8,X7)|doDivides0(X8,X6))|~(iLess0(sdtpldt0(sdtpldt0(X6,X7),X8),sdtpldt0(sdtpldt0(xn,xm),xp))))|(~(isPrime0(X8))|(~(aNaturalNumber0(X11))|~(sdtasdt0(X6,X7)=sdtasdt0(X8,X11)))))|((~(aNaturalNumber0(X6))|~(aNaturalNumber0(X7)))|~(aNaturalNumber0(X8)))))))&((((((((((((aNaturalNumber0(esk8_3(X6,X7,X8))|aNaturalNumber0(esk7_3(X6,X7,X8)))|~(iLess0(sdtpldt0(sdtpldt0(X6,X7),X8),sdtpldt0(sdtpldt0(xn,xm),xp))))|((aNaturalNumber0(esk5_3(X6,X7,X8))|(X8=sz00|X8=sz10))|~(doDivides0(X8,sdtasdt0(X6,X7)))))|((~(aNaturalNumber0(X6))|~(aNaturalNumber0(X7)))|~(aNaturalNumber0(X8))))&((((X7=sdtasdt0(X8,esk8_3(X6,X7,X8))|aNaturalNumber0(esk7_3(X6,X7,X8)))|~(iLess0(sdtpldt0(sdtpldt0(X6,X7),X8),sdtpldt0(sdtpldt0(xn,xm),xp))))|((aNaturalNumber0(esk5_3(X6,X7,X8))|(X8=sz00|X8=sz10))|~(doDivides0(X8,sdtasdt0(X6,X7)))))|((~(aNaturalNumber0(X6))|~(aNaturalNumber0(X7)))|~(aNaturalNumber0(X8)))))&((((doDivides0(X8,X7)|aNaturalNumber0(esk7_3(X6,X7,X8)))|~(iLess0(sdtpldt0(sdtpldt0(X6,X7),X8),sdtpldt0(sdtpldt0(xn,xm),xp))))|((aNaturalNumber0(esk5_3(X6,X7,X8))|(X8=sz00|X8=sz10))|~(doDivides0(X8,sdtasdt0(X6,X7)))))|((~(aNaturalNumber0(X6))|~(aNaturalNumber0(X7)))|~(aNaturalNumber0(X8)))))&((((((aNaturalNumber0(esk8_3(X6,X7,X8))|X6=sdtasdt0(X8,esk7_3(X6,X7,X8)))|~(iLess0(sdtpldt0(sdtpldt0(X6,X7),X8),sdtpldt0(sdtpldt0(xn,xm),xp))))|((aNaturalNumber0(esk5_3(X6,X7,X8))|(X8=sz00|X8=sz10))|~(doDivides0(X8,sdtasdt0(X6,X7)))))|((~(aNaturalNumber0(X6))|~(aNaturalNumber0(X7)))|~(aNaturalNumber0(X8))))&((((X7=sdtasdt0(X8,esk8_3(X6,X7,X8))|X6=sdtasdt0(X8,esk7_3(X6,X7,X8)))|~(iLess0(sdtpldt0(sdtpldt0(X6,X7),X8),sdtpldt0(sdtpldt0(xn,xm),xp))))|((aNaturalNumber0(esk5_3(X6,X7,X8))|(X8=sz00|X8=sz10))|~(doDivides0(X8,sdtasdt0(X6,X7)))))|((~(aNaturalNumber0(X6))|~(aNaturalNumber0(X7)))|~(aNaturalNumber0(X8)))))&((((doDivides0(X8,X7)|X6=sdtasdt0(X8,esk7_3(X6,X7,X8)))|~(iLess0(sdtpldt0(sdtpldt0(X6,X7),X8),sdtpldt0(sdtpldt0(xn,xm),xp))))|((aNaturalNumber0(esk5_3(X6,X7,X8))|(X8=sz00|X8=sz10))|~(doDivides0(X8,sdtasdt0(X6,X7)))))|((~(aNaturalNumber0(X6))|~(aNaturalNumber0(X7)))|~(aNaturalNumber0(X8))))))&((((((aNaturalNumber0(esk8_3(X6,X7,X8))|doDivides0(X8,X6))|~(iLess0(sdtpldt0(sdtpldt0(X6,X7),X8),sdtpldt0(sdtpldt0(xn,xm),xp))))|((aNaturalNumber0(esk5_3(X6,X7,X8))|(X8=sz00|X8=sz10))|~(doDivides0(X8,sdtasdt0(X6,X7)))))|((~(aNaturalNumber0(X6))|~(aNaturalNumber0(X7)))|~(aNaturalNumber0(X8))))&((((X7=sdtasdt0(X8,esk8_3(X6,X7,X8))|doDivides0(X8,X6))|~(iLess0(sdtpldt0(sdtpldt0(X6,X7),X8),sdtpldt0(sdtpldt0(xn,xm),xp))))|((aNaturalNumber0(esk5_3(X6,X7,X8))|(X8=sz00|X8=sz10))|~(doDivides0(X8,sdtasdt0(X6,X7)))))|((~(aNaturalNumber0(X6))|~(aNaturalNumber0(X7)))|~(aNaturalNumber0(X8)))))&((((doDivides0(X8,X7)|doDivides0(X8,X6))|~(iLess0(sdtpldt0(sdtpldt0(X6,X7),X8),sdtpldt0(sdtpldt0(xn,xm),xp))))|((aNaturalNumber0(esk5_3(X6,X7,X8))|(X8=sz00|X8=sz10))|~(doDivides0(X8,sdtasdt0(X6,X7)))))|((~(aNaturalNumber0(X6))|~(aNaturalNumber0(X7)))|~(aNaturalNumber0(X8))))))&(((((((((aNaturalNumber0(esk8_3(X6,X7,X8))|aNaturalNumber0(esk7_3(X6,X7,X8)))|~(iLess0(sdtpldt0(sdtpldt0(X6,X7),X8),sdtpldt0(sdtpldt0(xn,xm),xp))))|((aNaturalNumber0(esk6_3(X6,X7,X8))|(X8=sz00|X8=sz10))|~(doDivides0(X8,sdtasdt0(X6,X7)))))|((~(aNaturalNumber0(X6))|~(aNaturalNumber0(X7)))|~(aNaturalNumber0(X8))))&((((X7=sdtasdt0(X8,esk8_3(X6,X7,X8))|aNaturalNumber0(esk7_3(X6,X7,X8)))|~(iLess0(sdtpldt0(sdtpldt0(X6,X7),X8),sdtpldt0(sdtpldt0(xn,xm),xp))))|((aNaturalNumber0(esk6_3(X6,X7,X8))|(X8=sz00|X8=sz10))|~(doDivides0(X8,sdtasdt0(X6,X7)))))|((~(aNaturalNumber0(X6))|~(aNaturalNumber0(X7)))|~(aNaturalNumber0(X8)))))&((((doDivides0(X8,X7)|aNaturalNumber0(esk7_3(X6,X7,X8)))|~(iLess0(sdtpldt0(sdtpldt0(X6,X7),X8),sdtpldt0(sdtpldt0(xn,xm),xp))))|((aNaturalNumber0(esk6_3(X6,X7,X8))|(X8=sz00|X8=sz10))|~(doDivides0(X8,sdtasdt0(X6,X7)))))|((~(aNaturalNumber0(X6))|~(aNaturalNumber0(X7)))|~(aNaturalNumber0(X8)))))&((((((aNaturalNumber0(esk8_3(X6,X7,X8))|X6=sdtasdt0(X8,esk7_3(X6,X7,X8)))|~(iLess0(sdtpldt0(sdtpldt0(X6,X7),X8),sdtpldt0(sdtpldt0(xn,xm),xp))))|((aNaturalNumber0(esk6_3(X6,X7,X8))|(X8=sz00|X8=sz10))|~(doDivides0(X8,sdtasdt0(X6,X7)))))|((~(aNaturalNumber0(X6))|~(aNaturalNumber0(X7)))|~(aNaturalNumber0(X8))))&((((X7=sdtasdt0(X8,esk8_3(X6,X7,X8))|X6=sdtasdt0(X8,esk7_3(X6,X7,X8)))|~(iLess0(sdtpldt0(sdtpldt0(X6,X7),X8),sdtpldt0(sdtpldt0(xn,xm),xp))))|((aNaturalNumber0(esk6_3(X6,X7,X8))|(X8=sz00|X8=sz10))|~(doDivides0(X8,sdtasdt0(X6,X7)))))|((~(aNaturalNumber0(X6))|~(aNaturalNumber0(X7)))|~(aNaturalNumber0(X8)))))&((((doDivides0(X8,X7)|X6=sdtasdt0(X8,esk7_3(X6,X7,X8)))|~(iLess0(sdtpldt0(sdtpldt0(X6,X7),X8),sdtpldt0(sdtpldt0(xn,xm),xp))))|((aNaturalNumber0(esk6_3(X6,X7,X8))|(X8=sz00|X8=sz10))|~(doDivides0(X8,sdtasdt0(X6,X7)))))|((~(aNaturalNumber0(X6))|~(aNaturalNumber0(X7)))|~(aNaturalNumber0(X8))))))&((((((aNaturalNumber0(esk8_3(X6,X7,X8))|doDivides0(X8,X6))|~(iLess0(sdtpldt0(sdtpldt0(X6,X7),X8),sdtpldt0(sdtpldt0(xn,xm),xp))))|((aNaturalNumber0(esk6_3(X6,X7,X8))|(X8=sz00|X8=sz10))|~(doDivides0(X8,sdtasdt0(X6,X7)))))|((~(aNaturalNumber0(X6))|~(aNaturalNumber0(X7)))|~(aNaturalNumber0(X8))))&((((X7=sdtasdt0(X8,esk8_3(X6,X7,X8))|doDivides0(X8,X6))|~(iLess0(sdtpldt0(sdtpldt0(X6,X7),X8),sdtpldt0(sdtpldt0(xn,xm),xp))))|((aNaturalNumber0(esk6_3(X6,X7,X8))|(X8=sz00|X8=sz10))|~(doDivides0(X8,sdtasdt0(X6,X7)))))|((~(aNaturalNumber0(X6))|~(aNaturalNumber0(X7)))|~(aNaturalNumber0(X8)))))&((((doDivides0(X8,X7)|doDivides0(X8,X6))|~(iLess0(sdtpldt0(sdtpldt0(X6,X7),X8),sdtpldt0(sdtpldt0(xn,xm),xp))))|((aNaturalNumber0(esk6_3(X6,X7,X8))|(X8=sz00|X8=sz10))|~(doDivides0(X8,sdtasdt0(X6,X7)))))|((~(aNaturalNumber0(X6))|~(aNaturalNumber0(X7)))|~(aNaturalNumber0(X8))))))&((((((((aNaturalNumber0(esk8_3(X6,X7,X8))|aNaturalNumber0(esk7_3(X6,X7,X8)))|~(iLess0(sdtpldt0(sdtpldt0(X6,X7),X8),sdtpldt0(sdtpldt0(xn,xm),xp))))|((X8=sdtasdt0(esk5_3(X6,X7,X8),esk6_3(X6,X7,X8))|(X8=sz00|X8=sz10))|~(doDivides0(X8,sdtasdt0(X6,X7)))))|((~(aNaturalNumber0(X6))|~(aNaturalNumber0(X7)))|~(aNaturalNumber0(X8))))&((((X7=sdtasdt0(X8,esk8_3(X6,X7,X8))|aNaturalNumber0(esk7_3(X6,X7,X8)))|~(iLess0(sdtpldt0(sdtpldt0(X6,X7),X8),sdtpldt0(sdtpldt0(xn,xm),xp))))|((X8=sdtasdt0(esk5_3(X6,X7,X8),esk6_3(X6,X7,X8))|(X8=sz00|X8=sz10))|~(doDivides0(X8,sdtasdt0(X6,X7)))))|((~(aNaturalNumber0(X6))|~(aNaturalNumber0(X7)))|~(aNaturalNumber0(X8)))))&((((doDivides0(X8,X7)|aNaturalNumber0(esk7_3(X6,X7,X8)))|~(iLess0(sdtpldt0(sdtpldt0(X6,X7),X8),sdtpldt0(sdtpldt0(xn,xm),xp))))|((X8=sdtasdt0(esk5_3(X6,X7,X8),esk6_3(X6,X7,X8))|(X8=sz00|X8=sz10))|~(doDivides0(X8,sdtasdt0(X6,X7)))))|((~(aNaturalNumber0(X6))|~(aNaturalNumber0(X7)))|~(aNaturalNumber0(X8)))))&((((((aNaturalNumber0(esk8_3(X6,X7,X8))|X6=sdtasdt0(X8,esk7_3(X6,X7,X8)))|~(iLess0(sdtpldt0(sdtpldt0(X6,X7),X8),sdtpldt0(sdtpldt0(xn,xm),xp))))|((X8=sdtasdt0(esk5_3(X6,X7,X8),esk6_3(X6,X7,X8))|(X8=sz00|X8=sz10))|~(doDivides0(X8,sdtasdt0(X6,X7)))))|((~(aNaturalNumber0(X6))|~(aNaturalNumber0(X7)))|~(aNaturalNumber0(X8))))&((((X7=sdtasdt0(X8,esk8_3(X6,X7,X8))|X6=sdtasdt0(X8,esk7_3(X6,X7,X8)))|~(iLess0(sdtpldt0(sdtpldt0(X6,X7),X8),sdtpldt0(sdtpldt0(xn,xm),xp))))|((X8=sdtasdt0(esk5_3(X6,X7,X8),esk6_3(X6,X7,X8))|(X8=sz00|X8=sz10))|~(doDivides0(X8,sdtasdt0(X6,X7)))))|((~(aNaturalNumber0(X6))|~(aNaturalNumber0(X7)))|~(aNaturalNumber0(X8)))))&((((doDivides0(X8,X7)|X6=sdtasdt0(X8,esk7_3(X6,X7,X8)))|~(iLess0(sdtpldt0(sdtpldt0(X6,X7),X8),sdtpldt0(sdtpldt0(xn,xm),xp))))|((X8=sdtasdt0(esk5_3(X6,X7,X8),esk6_3(X6,X7,X8))|(X8=sz00|X8=sz10))|~(doDivides0(X8,sdtasdt0(X6,X7)))))|((~(aNaturalNumber0(X6))|~(aNaturalNumber0(X7)))|~(aNaturalNumber0(X8))))))&((((((aNaturalNumber0(esk8_3(X6,X7,X8))|doDivides0(X8,X6))|~(iLess0(sdtpldt0(sdtpldt0(X6,X7),X8),sdtpldt0(sdtpldt0(xn,xm),xp))))|((X8=sdtasdt0(esk5_3(X6,X7,X8),esk6_3(X6,X7,X8))|(X8=sz00|X8=sz10))|~(doDivides0(X8,sdtasdt0(X6,X7)))))|((~(aNaturalNumber0(X6))|~(aNaturalNumber0(X7)))|~(aNaturalNumber0(X8))))&((((X7=sdtasdt0(X8,esk8_3(X6,X7,X8))|doDivides0(X8,X6))|~(iLess0(sdtpldt0(sdtpldt0(X6,X7),X8),sdtpldt0(sdtpldt0(xn,xm),xp))))|((X8=sdtasdt0(esk5_3(X6,X7,X8),esk6_3(X6,X7,X8))|(X8=sz00|X8=sz10))|~(doDivides0(X8,sdtasdt0(X6,X7)))))|((~(aNaturalNumber0(X6))|~(aNaturalNumber0(X7)))|~(aNaturalNumber0(X8)))))&((((doDivides0(X8,X7)|doDivides0(X8,X6))|~(iLess0(sdtpldt0(sdtpldt0(X6,X7),X8),sdtpldt0(sdtpldt0(xn,xm),xp))))|((X8=sdtasdt0(esk5_3(X6,X7,X8),esk6_3(X6,X7,X8))|(X8=sz00|X8=sz10))|~(doDivides0(X8,sdtasdt0(X6,X7)))))|((~(aNaturalNumber0(X6))|~(aNaturalNumber0(X7)))|~(aNaturalNumber0(X8))))))))&((((((((aNaturalNumber0(esk8_3(X6,X7,X8))|aNaturalNumber0(esk7_3(X6,X7,X8)))|~(iLess0(sdtpldt0(sdtpldt0(X6,X7),X8),sdtpldt0(sdtpldt0(xn,xm),xp))))|((doDivides0(esk5_3(X6,X7,X8),X8)|(X8=sz00|X8=sz10))|~(doDivides0(X8,sdtasdt0(X6,X7)))))|((~(aNaturalNumber0(X6))|~(aNaturalNumber0(X7)))|~(aNaturalNumber0(X8))))&((((X7=sdtasdt0(X8,esk8_3(X6,X7,X8))|aNaturalNumber0(esk7_3(X6,X7,X8)))|~(iLess0(sdtpldt0(sdtpldt0(X6,X7),X8),sdtpldt0(sdtpldt0(xn,xm),xp))))|((doDivides0(esk5_3(X6,X7,X8),X8)|(X8=sz00|X8=sz10))|~(doDivides0(X8,sdtasdt0(X6,X7)))))|((~(aNaturalNumber0(X6))|~(aNaturalNumber0(X7)))|~(aNaturalNumber0(X8)))))&((((doDivides0(X8,X7)|aNaturalNumber0(esk7_3(X6,X7,X8)))|~(iLess0(sdtpldt0(sdtpldt0(X6,X7),X8),sdtpldt0(sdtpldt0(xn,xm),xp))))|((doDivides0(esk5_3(X6,X7,X8),X8)|(X8=sz00|X8=sz10))|~(doDivides0(X8,sdtasdt0(X6,X7)))))|((~(aNaturalNumber0(X6))|~(aNaturalNumber0(X7)))|~(aNaturalNumber0(X8)))))&((((((aNaturalNumber0(esk8_3(X6,X7,X8))|X6=sdtasdt0(X8,esk7_3(X6,X7,X8)))|~(iLess0(sdtpldt0(sdtpldt0(X6,X7),X8),sdtpldt0(sdtpldt0(xn,xm),xp))))|((doDivides0(esk5_3(X6,X7,X8),X8)|(X8=sz00|X8=sz10))|~(doDivides0(X8,sdtasdt0(X6,X7)))))|((~(aNaturalNumber0(X6))|~(aNaturalNumber0(X7)))|~(aNaturalNumber0(X8))))&((((X7=sdtasdt0(X8,esk8_3(X6,X7,X8))|X6=sdtasdt0(X8,esk7_3(X6,X7,X8)))|~(iLess0(sdtpldt0(sdtpldt0(X6,X7),X8),sdtpldt0(sdtpldt0(xn,xm),xp))))|((doDivides0(esk5_3(X6,X7,X8),X8)|(X8=sz00|X8=sz10))|~(doDivides0(X8,sdtasdt0(X6,X7)))))|((~(aNaturalNumber0(X6))|~(aNaturalNumber0(X7)))|~(aNaturalNumber0(X8)))))&((((doDivides0(X8,X7)|X6=sdtasdt0(X8,esk7_3(X6,X7,X8)))|~(iLess0(sdtpldt0(sdtpldt0(X6,X7),X8),sdtpldt0(sdtpldt0(xn,xm),xp))))|((doDivides0(esk5_3(X6,X7,X8),X8)|(X8=sz00|X8=sz10))|~(doDivides0(X8,sdtasdt0(X6,X7)))))|((~(aNaturalNumber0(X6))|~(aNaturalNumber0(X7)))|~(aNaturalNumber0(X8))))))&((((((aNaturalNumber0(esk8_3(X6,X7,X8))|doDivides0(X8,X6))|~(iLess0(sdtpldt0(sdtpldt0(X6,X7),X8),sdtpldt0(sdtpldt0(xn,xm),xp))))|((doDivides0(esk5_3(X6,X7,X8),X8)|(X8=sz00|X8=sz10))|~(doDivides0(X8,sdtasdt0(X6,X7)))))|((~(aNaturalNumber0(X6))|~(aNaturalNumber0(X7)))|~(aNaturalNumber0(X8))))&((((X7=sdtasdt0(X8,esk8_3(X6,X7,X8))|doDivides0(X8,X6))|~(iLess0(sdtpldt0(sdtpldt0(X6,X7),X8),sdtpldt0(sdtpldt0(xn,xm),xp))))|((doDivides0(esk5_3(X6,X7,X8),X8)|(X8=sz00|X8=sz10))|~(doDivides0(X8,sdtasdt0(X6,X7)))))|((~(aNaturalNumber0(X6))|~(aNaturalNumber0(X7)))|~(aNaturalNumber0(X8)))))&((((doDivides0(X8,X7)|doDivides0(X8,X6))|~(iLess0(sdtpldt0(sdtpldt0(X6,X7),X8),sdtpldt0(sdtpldt0(xn,xm),xp))))|((doDivides0(esk5_3(X6,X7,X8),X8)|(X8=sz00|X8=sz10))|~(doDivides0(X8,sdtasdt0(X6,X7)))))|((~(aNaturalNumber0(X6))|~(aNaturalNumber0(X7)))|~(aNaturalNumber0(X8)))))))&(((((((((aNaturalNumber0(esk8_3(X6,X7,X8))|aNaturalNumber0(esk7_3(X6,X7,X8)))|~(iLess0(sdtpldt0(sdtpldt0(X6,X7),X8),sdtpldt0(sdtpldt0(xn,xm),xp))))|((~(esk5_3(X6,X7,X8)=sz10)|(X8=sz00|X8=sz10))|~(doDivides0(X8,sdtasdt0(X6,X7)))))|((~(aNaturalNumber0(X6))|~(aNaturalNumber0(X7)))|~(aNaturalNumber0(X8))))&((((X7=sdtasdt0(X8,esk8_3(X6,X7,X8))|aNaturalNumber0(esk7_3(X6,X7,X8)))|~(iLess0(sdtpldt0(sdtpldt0(X6,X7),X8),sdtpldt0(sdtpldt0(xn,xm),xp))))|((~(esk5_3(X6,X7,X8)=sz10)|(X8=sz00|X8=sz10))|~(doDivides0(X8,sdtasdt0(X6,X7)))))|((~(aNaturalNumber0(X6))|~(aNaturalNumber0(X7)))|~(aNaturalNumber0(X8)))))&((((doDivides0(X8,X7)|aNaturalNumber0(esk7_3(X6,X7,X8)))|~(iLess0(sdtpldt0(sdtpldt0(X6,X7),X8),sdtpldt0(sdtpldt0(xn,xm),xp))))|((~(esk5_3(X6,X7,X8)=sz10)|(X8=sz00|X8=sz10))|~(doDivides0(X8,sdtasdt0(X6,X7)))))|((~(aNaturalNumber0(X6))|~(aNaturalNumber0(X7)))|~(aNaturalNumber0(X8)))))&((((((aNaturalNumber0(esk8_3(X6,X7,X8))|X6=sdtasdt0(X8,esk7_3(X6,X7,X8)))|~(iLess0(sdtpldt0(sdtpldt0(X6,X7),X8),sdtpldt0(sdtpldt0(xn,xm),xp))))|((~(esk5_3(X6,X7,X8)=sz10)|(X8=sz00|X8=sz10))|~(doDivides0(X8,sdtasdt0(X6,X7)))))|((~(aNaturalNumber0(X6))|~(aNaturalNumber0(X7)))|~(aNaturalNumber0(X8))))&((((X7=sdtasdt0(X8,esk8_3(X6,X7,X8))|X6=sdtasdt0(X8,esk7_3(X6,X7,X8)))|~(iLess0(sdtpldt0(sdtpldt0(X6,X7),X8),sdtpldt0(sdtpldt0(xn,xm),xp))))|((~(esk5_3(X6,X7,X8)=sz10)|(X8=sz00|X8=sz10))|~(doDivides0(X8,sdtasdt0(X6,X7)))))|((~(aNaturalNumber0(X6))|~(aNaturalNumber0(X7)))|~(aNaturalNumber0(X8)))))&((((doDivides0(X8,X7)|X6=sdtasdt0(X8,esk7_3(X6,X7,X8)))|~(iLess0(sdtpldt0(sdtpldt0(X6,X7),X8),sdtpldt0(sdtpldt0(xn,xm),xp))))|((~(esk5_3(X6,X7,X8)=sz10)|(X8=sz00|X8=sz10))|~(doDivides0(X8,sdtasdt0(X6,X7)))))|((~(aNaturalNumber0(X6))|~(aNaturalNumber0(X7)))|~(aNaturalNumber0(X8))))))&((((((aNaturalNumber0(esk8_3(X6,X7,X8))|doDivides0(X8,X6))|~(iLess0(sdtpldt0(sdtpldt0(X6,X7),X8),sdtpldt0(sdtpldt0(xn,xm),xp))))|((~(esk5_3(X6,X7,X8)=sz10)|(X8=sz00|X8=sz10))|~(doDivides0(X8,sdtasdt0(X6,X7)))))|((~(aNaturalNumber0(X6))|~(aNaturalNumber0(X7)))|~(aNaturalNumber0(X8))))&((((X7=sdtasdt0(X8,esk8_3(X6,X7,X8))|doDivides0(X8,X6))|~(iLess0(sdtpldt0(sdtpldt0(X6,X7),X8),sdtpldt0(sdtpldt0(xn,xm),xp))))|((~(esk5_3(X6,X7,X8)=sz10)|(X8=sz00|X8=sz10))|~(doDivides0(X8,sdtasdt0(X6,X7)))))|((~(aNaturalNumber0(X6))|~(aNaturalNumber0(X7)))|~(aNaturalNumber0(X8)))))&((((doDivides0(X8,X7)|doDivides0(X8,X6))|~(iLess0(sdtpldt0(sdtpldt0(X6,X7),X8),sdtpldt0(sdtpldt0(xn,xm),xp))))|((~(esk5_3(X6,X7,X8)=sz10)|(X8=sz00|X8=sz10))|~(doDivides0(X8,sdtasdt0(X6,X7)))))|((~(aNaturalNumber0(X6))|~(aNaturalNumber0(X7)))|~(aNaturalNumber0(X8))))))&((((((((aNaturalNumber0(esk8_3(X6,X7,X8))|aNaturalNumber0(esk7_3(X6,X7,X8)))|~(iLess0(sdtpldt0(sdtpldt0(X6,X7),X8),sdtpldt0(sdtpldt0(xn,xm),xp))))|((~(esk5_3(X6,X7,X8)=X8)|(X8=sz00|X8=sz10))|~(doDivides0(X8,sdtasdt0(X6,X7)))))|((~(aNaturalNumber0(X6))|~(aNaturalNumber0(X7)))|~(aNaturalNumber0(X8))))&((((X7=sdtasdt0(X8,esk8_3(X6,X7,X8))|aNaturalNumber0(esk7_3(X6,X7,X8)))|~(iLess0(sdtpldt0(sdtpldt0(X6,X7),X8),sdtpldt0(sdtpldt0(xn,xm),xp))))|((~(esk5_3(X6,X7,X8)=X8)|(X8=sz00|X8=sz10))|~(doDivides0(X8,sdtasdt0(X6,X7)))))|((~(aNaturalNumber0(X6))|~(aNaturalNumber0(X7)))|~(aNaturalNumber0(X8)))))&((((doDivides0(X8,X7)|aNaturalNumber0(esk7_3(X6,X7,X8)))|~(iLess0(sdtpldt0(sdtpldt0(X6,X7),X8),sdtpldt0(sdtpldt0(xn,xm),xp))))|((~(esk5_3(X6,X7,X8)=X8)|(X8=sz00|X8=sz10))|~(doDivides0(X8,sdtasdt0(X6,X7)))))|((~(aNaturalNumber0(X6))|~(aNaturalNumber0(X7)))|~(aNaturalNumber0(X8)))))&((((((aNaturalNumber0(esk8_3(X6,X7,X8))|X6=sdtasdt0(X8,esk7_3(X6,X7,X8)))|~(iLess0(sdtpldt0(sdtpldt0(X6,X7),X8),sdtpldt0(sdtpldt0(xn,xm),xp))))|((~(esk5_3(X6,X7,X8)=X8)|(X8=sz00|X8=sz10))|~(doDivides0(X8,sdtasdt0(X6,X7)))))|((~(aNaturalNumber0(X6))|~(aNaturalNumber0(X7)))|~(aNaturalNumber0(X8))))&((((X7=sdtasdt0(X8,esk8_3(X6,X7,X8))|X6=sdtasdt0(X8,esk7_3(X6,X7,X8)))|~(iLess0(sdtpldt0(sdtpldt0(X6,X7),X8),sdtpldt0(sdtpldt0(xn,xm),xp))))|((~(esk5_3(X6,X7,X8)=X8)|(X8=sz00|X8=sz10))|~(doDivides0(X8,sdtasdt0(X6,X7)))))|((~(aNaturalNumber0(X6))|~(aNaturalNumber0(X7)))|~(aNaturalNumber0(X8)))))&((((doDivides0(X8,X7)|X6=sdtasdt0(X8,esk7_3(X6,X7,X8)))|~(iLess0(sdtpldt0(sdtpldt0(X6,X7),X8),sdtpldt0(sdtpldt0(xn,xm),xp))))|((~(esk5_3(X6,X7,X8)=X8)|(X8=sz00|X8=sz10))|~(doDivides0(X8,sdtasdt0(X6,X7)))))|((~(aNaturalNumber0(X6))|~(aNaturalNumber0(X7)))|~(aNaturalNumber0(X8))))))&((((((aNaturalNumber0(esk8_3(X6,X7,X8))|doDivides0(X8,X6))|~(iLess0(sdtpldt0(sdtpldt0(X6,X7),X8),sdtpldt0(sdtpldt0(xn,xm),xp))))|((~(esk5_3(X6,X7,X8)=X8)|(X8=sz00|X8=sz10))|~(doDivides0(X8,sdtasdt0(X6,X7)))))|((~(aNaturalNumber0(X6))|~(aNaturalNumber0(X7)))|~(aNaturalNumber0(X8))))&((((X7=sdtasdt0(X8,esk8_3(X6,X7,X8))|doDivides0(X8,X6))|~(iLess0(sdtpldt0(sdtpldt0(X6,X7),X8),sdtpldt0(sdtpldt0(xn,xm),xp))))|((~(esk5_3(X6,X7,X8)=X8)|(X8=sz00|X8=sz10))|~(doDivides0(X8,sdtasdt0(X6,X7)))))|((~(aNaturalNumber0(X6))|~(aNaturalNumber0(X7)))|~(aNaturalNumber0(X8)))))&((((doDivides0(X8,X7)|doDivides0(X8,X6))|~(iLess0(sdtpldt0(sdtpldt0(X6,X7),X8),sdtpldt0(sdtpldt0(xn,xm),xp))))|((~(esk5_3(X6,X7,X8)=X8)|(X8=sz00|X8=sz10))|~(doDivides0(X8,sdtasdt0(X6,X7)))))|((~(aNaturalNumber0(X6))|~(aNaturalNumber0(X7)))|~(aNaturalNumber0(X8))))))))&((((((((aNaturalNumber0(esk8_3(X6,X7,X8))|aNaturalNumber0(esk7_3(X6,X7,X8)))|~(iLess0(sdtpldt0(sdtpldt0(X6,X7),X8),sdtpldt0(sdtpldt0(xn,xm),xp))))|(~(isPrime0(X8))|~(doDivides0(X8,sdtasdt0(X6,X7)))))|((~(aNaturalNumber0(X6))|~(aNaturalNumber0(X7)))|~(aNaturalNumber0(X8))))&((((X7=sdtasdt0(X8,esk8_3(X6,X7,X8))|aNaturalNumber0(esk7_3(X6,X7,X8)))|~(iLess0(sdtpldt0(sdtpldt0(X6,X7),X8),sdtpldt0(sdtpldt0(xn,xm),xp))))|(~(isPrime0(X8))|~(doDivides0(X8,sdtasdt0(X6,X7)))))|((~(aNaturalNumber0(X6))|~(aNaturalNumber0(X7)))|~(aNaturalNumber0(X8)))))&((((doDivides0(X8,X7)|aNaturalNumber0(esk7_3(X6,X7,X8)))|~(iLess0(sdtpldt0(sdtpldt0(X6,X7),X8),sdtpldt0(sdtpldt0(xn,xm),xp))))|(~(isPrime0(X8))|~(doDivides0(X8,sdtasdt0(X6,X7)))))|((~(aNaturalNumber0(X6))|~(aNaturalNumber0(X7)))|~(aNaturalNumber0(X8)))))&((((((aNaturalNumber0(esk8_3(X6,X7,X8))|X6=sdtasdt0(X8,esk7_3(X6,X7,X8)))|~(iLess0(sdtpldt0(sdtpldt0(X6,X7),X8),sdtpldt0(sdtpldt0(xn,xm),xp))))|(~(isPrime0(X8))|~(doDivides0(X8,sdtasdt0(X6,X7)))))|((~(aNaturalNumber0(X6))|~(aNaturalNumber0(X7)))|~(aNaturalNumber0(X8))))&((((X7=sdtasdt0(X8,esk8_3(X6,X7,X8))|X6=sdtasdt0(X8,esk7_3(X6,X7,X8)))|~(iLess0(sdtpldt0(sdtpldt0(X6,X7),X8),sdtpldt0(sdtpldt0(xn,xm),xp))))|(~(isPrime0(X8))|~(doDivides0(X8,sdtasdt0(X6,X7)))))|((~(aNaturalNumber0(X6))|~(aNaturalNumber0(X7)))|~(aNaturalNumber0(X8)))))&((((doDivides0(X8,X7)|X6=sdtasdt0(X8,esk7_3(X6,X7,X8)))|~(iLess0(sdtpldt0(sdtpldt0(X6,X7),X8),sdtpldt0(sdtpldt0(xn,xm),xp))))|(~(isPrime0(X8))|~(doDivides0(X8,sdtasdt0(X6,X7)))))|((~(aNaturalNumber0(X6))|~(aNaturalNumber0(X7)))|~(aNaturalNumber0(X8))))))&((((((aNaturalNumber0(esk8_3(X6,X7,X8))|doDivides0(X8,X6))|~(iLess0(sdtpldt0(sdtpldt0(X6,X7),X8),sdtpldt0(sdtpldt0(xn,xm),xp))))|(~(isPrime0(X8))|~(doDivides0(X8,sdtasdt0(X6,X7)))))|((~(aNaturalNumber0(X6))|~(aNaturalNumber0(X7)))|~(aNaturalNumber0(X8))))&((((X7=sdtasdt0(X8,esk8_3(X6,X7,X8))|doDivides0(X8,X6))|~(iLess0(sdtpldt0(sdtpldt0(X6,X7),X8),sdtpldt0(sdtpldt0(xn,xm),xp))))|(~(isPrime0(X8))|~(doDivides0(X8,sdtasdt0(X6,X7)))))|((~(aNaturalNumber0(X6))|~(aNaturalNumber0(X7)))|~(aNaturalNumber0(X8)))))&((((doDivides0(X8,X7)|doDivides0(X8,X6))|~(iLess0(sdtpldt0(sdtpldt0(X6,X7),X8),sdtpldt0(sdtpldt0(xn,xm),xp))))|(~(isPrime0(X8))|~(doDivides0(X8,sdtasdt0(X6,X7)))))|((~(aNaturalNumber0(X6))|~(aNaturalNumber0(X7)))|~(aNaturalNumber0(X8)))))))),inference(distribute,[status(thm)],[220])).
% cnf(222,plain,(doDivides0(X1,X3)|doDivides0(X1,X2)|~aNaturalNumber0(X1)|~aNaturalNumber0(X2)|~aNaturalNumber0(X3)|~doDivides0(X1,sdtasdt0(X3,X2))|~isPrime0(X1)|~iLess0(sdtpldt0(sdtpldt0(X3,X2),X1),sdtpldt0(sdtpldt0(xn,xm),xp))),inference(split_conjunct,[status(thm)],[221])).
% cnf(382,plain,(sdtasdt0(xn,xm)=sdtasdt0(xp,xk)),inference(split_conjunct,[status(thm)],[42])).
% fof(389, plain,((((((aNaturalNumber0(xr)&?[X1]:(aNaturalNumber0(X1)&xk=sdtasdt0(xr,X1)))&doDivides0(xr,xk))&~(xr=sz00))&~(xr=sz10))&![X1]:((~(aNaturalNumber0(X1))|(![X2]:(~(aNaturalNumber0(X2))|~(xr=sdtasdt0(X1,X2)))&~(doDivides0(X1,xr))))|(X1=sz10|X1=xr)))&isPrime0(xr)),inference(fof_nnf,[status(thm)],[45])).
% fof(390, plain,((((((aNaturalNumber0(xr)&?[X3]:(aNaturalNumber0(X3)&xk=sdtasdt0(xr,X3)))&doDivides0(xr,xk))&~(xr=sz00))&~(xr=sz10))&![X4]:((~(aNaturalNumber0(X4))|(![X5]:(~(aNaturalNumber0(X5))|~(xr=sdtasdt0(X4,X5)))&~(doDivides0(X4,xr))))|(X4=sz10|X4=xr)))&isPrime0(xr)),inference(variable_rename,[status(thm)],[389])).
% fof(391, plain,((((((aNaturalNumber0(xr)&(aNaturalNumber0(esk12_0)&xk=sdtasdt0(xr,esk12_0)))&doDivides0(xr,xk))&~(xr=sz00))&~(xr=sz10))&![X4]:((~(aNaturalNumber0(X4))|(![X5]:(~(aNaturalNumber0(X5))|~(xr=sdtasdt0(X4,X5)))&~(doDivides0(X4,xr))))|(X4=sz10|X4=xr)))&isPrime0(xr)),inference(skolemize,[status(esa)],[390])).
% fof(392, plain,![X4]:![X5]:((((((~(aNaturalNumber0(X5))|~(xr=sdtasdt0(X4,X5)))&~(doDivides0(X4,xr)))|~(aNaturalNumber0(X4)))|(X4=sz10|X4=xr))&((((aNaturalNumber0(xr)&(aNaturalNumber0(esk12_0)&xk=sdtasdt0(xr,esk12_0)))&doDivides0(xr,xk))&~(xr=sz00))&~(xr=sz10)))&isPrime0(xr)),inference(shift_quantors,[status(thm)],[391])).
% fof(393, plain,![X4]:![X5]:((((((~(aNaturalNumber0(X5))|~(xr=sdtasdt0(X4,X5)))|~(aNaturalNumber0(X4)))|(X4=sz10|X4=xr))&((~(doDivides0(X4,xr))|~(aNaturalNumber0(X4)))|(X4=sz10|X4=xr)))&((((aNaturalNumber0(xr)&(aNaturalNumber0(esk12_0)&xk=sdtasdt0(xr,esk12_0)))&doDivides0(xr,xk))&~(xr=sz00))&~(xr=sz10)))&isPrime0(xr)),inference(distribute,[status(thm)],[392])).
% cnf(394,plain,(isPrime0(xr)),inference(split_conjunct,[status(thm)],[393])).
% cnf(400,plain,(aNaturalNumber0(xr)),inference(split_conjunct,[status(thm)],[393])).
% fof(403, plain,((?[X2]:(aNaturalNumber0(X2)&sdtpldt0(xr,X2)=xk)&?[X3]:(aNaturalNumber0(X3)&sdtasdt0(xn,xm)=sdtasdt0(xr,X3)))&doDivides0(xr,sdtasdt0(xn,xm))),inference(variable_rename,[status(thm)],[46])).
% fof(404, plain,(((aNaturalNumber0(esk13_0)&sdtpldt0(xr,esk13_0)=xk)&(aNaturalNumber0(esk14_0)&sdtasdt0(xn,xm)=sdtasdt0(xr,esk14_0)))&doDivides0(xr,sdtasdt0(xn,xm))),inference(skolemize,[status(esa)],[403])).
% cnf(405,plain,(doDivides0(xr,sdtasdt0(xn,xm))),inference(split_conjunct,[status(thm)],[404])).
% fof(416, plain,((~(sdtpldt0(sdtpldt0(xn,xm),xr)=sdtpldt0(sdtpldt0(xn,xm),xp))&?[X2]:(aNaturalNumber0(X2)&sdtpldt0(sdtpldt0(sdtpldt0(xn,xm),xr),X2)=sdtpldt0(sdtpldt0(xn,xm),xp)))&sdtlseqdt0(sdtpldt0(sdtpldt0(xn,xm),xr),sdtpldt0(sdtpldt0(xn,xm),xp))),inference(variable_rename,[status(thm)],[48])).
% fof(417, plain,((~(sdtpldt0(sdtpldt0(xn,xm),xr)=sdtpldt0(sdtpldt0(xn,xm),xp))&(aNaturalNumber0(esk16_0)&sdtpldt0(sdtpldt0(sdtpldt0(xn,xm),xr),esk16_0)=sdtpldt0(sdtpldt0(xn,xm),xp)))&sdtlseqdt0(sdtpldt0(sdtpldt0(xn,xm),xr),sdtpldt0(sdtpldt0(xn,xm),xp))),inference(skolemize,[status(esa)],[416])).
% cnf(418,plain,(sdtlseqdt0(sdtpldt0(sdtpldt0(xn,xm),xr),sdtpldt0(sdtpldt0(xn,xm),xp))),inference(split_conjunct,[status(thm)],[417])).
% cnf(419,plain,(sdtpldt0(sdtpldt0(sdtpldt0(xn,xm),xr),esk16_0)=sdtpldt0(sdtpldt0(xn,xm),xp)),inference(split_conjunct,[status(thm)],[417])).
% cnf(420,plain,(aNaturalNumber0(esk16_0)),inference(split_conjunct,[status(thm)],[417])).
% cnf(421,plain,(sdtpldt0(sdtpldt0(xn,xm),xr)!=sdtpldt0(sdtpldt0(xn,xm),xp)),inference(split_conjunct,[status(thm)],[417])).
% fof(433, negated_conjecture,(((![X1]:(~(aNaturalNumber0(X1))|~(xn=sdtasdt0(xr,X1)))&~(doDivides0(xr,xn)))&![X1]:(~(aNaturalNumber0(X1))|~(xm=sdtasdt0(xr,X1))))&~(doDivides0(xr,xm))),inference(fof_nnf,[status(thm)],[53])).
% fof(434, negated_conjecture,(((![X2]:(~(aNaturalNumber0(X2))|~(xn=sdtasdt0(xr,X2)))&~(doDivides0(xr,xn)))&![X3]:(~(aNaturalNumber0(X3))|~(xm=sdtasdt0(xr,X3))))&~(doDivides0(xr,xm))),inference(variable_rename,[status(thm)],[433])).
% fof(435, negated_conjecture,![X2]:![X3]:(((~(aNaturalNumber0(X3))|~(xm=sdtasdt0(xr,X3)))&((~(aNaturalNumber0(X2))|~(xn=sdtasdt0(xr,X2)))&~(doDivides0(xr,xn))))&~(doDivides0(xr,xm))),inference(shift_quantors,[status(thm)],[434])).
% cnf(436,negated_conjecture,(~doDivides0(xr,xm)),inference(split_conjunct,[status(thm)],[435])).
% cnf(437,negated_conjecture,(~doDivides0(xr,xn)),inference(split_conjunct,[status(thm)],[435])).
% cnf(440,plain,(doDivides0(xr,sdtasdt0(xp,xk))),inference(rw,[status(thm)],[405,382,theory(equality)])).
% cnf(661,plain,(aNaturalNumber0(sdtpldt0(sdtpldt0(xn,xm),xp))|~aNaturalNumber0(esk16_0)|~aNaturalNumber0(sdtpldt0(sdtpldt0(xn,xm),xr))),inference(spm,[status(thm)],[61,419,theory(equality)])).
% cnf(662,plain,(aNaturalNumber0(sdtpldt0(sdtpldt0(xn,xm),xp))|$false|~aNaturalNumber0(sdtpldt0(sdtpldt0(xn,xm),xr))),inference(rw,[status(thm)],[661,420,theory(equality)])).
% cnf(663,plain,(aNaturalNumber0(sdtpldt0(sdtpldt0(xn,xm),xp))|~aNaturalNumber0(sdtpldt0(sdtpldt0(xn,xm),xr))),inference(cn,[status(thm)],[662,theory(equality)])).
% cnf(912,plain,(sdtpldt0(sdtpldt0(xn,xm),xr)=sdtpldt0(sdtpldt0(xn,xm),xp)|iLess0(sdtpldt0(sdtpldt0(xn,xm),xr),sdtpldt0(sdtpldt0(xn,xm),xp))|~aNaturalNumber0(sdtpldt0(sdtpldt0(xn,xm),xp))|~aNaturalNumber0(sdtpldt0(sdtpldt0(xn,xm),xr))),inference(spm,[status(thm)],[163,418,theory(equality)])).
% cnf(928,plain,(iLess0(sdtpldt0(sdtpldt0(xn,xm),xr),sdtpldt0(sdtpldt0(xn,xm),xp))|~aNaturalNumber0(sdtpldt0(sdtpldt0(xn,xm),xp))|~aNaturalNumber0(sdtpldt0(sdtpldt0(xn,xm),xr))),inference(sr,[status(thm)],[912,421,theory(equality)])).
% cnf(14819,plain,(iLess0(sdtpldt0(sdtpldt0(xn,xm),xr),sdtpldt0(sdtpldt0(xn,xm),xp))|~aNaturalNumber0(sdtpldt0(sdtpldt0(xn,xm),xr))),inference(csr,[status(thm)],[928,663])).
% cnf(14832,plain,(doDivides0(xr,xn)|doDivides0(xr,xm)|~isPrime0(xr)|~doDivides0(xr,sdtasdt0(xn,xm))|~aNaturalNumber0(xn)|~aNaturalNumber0(xm)|~aNaturalNumber0(xr)|~aNaturalNumber0(sdtpldt0(sdtpldt0(xn,xm),xr))),inference(spm,[status(thm)],[222,14819,theory(equality)])).
% cnf(15028,plain,(doDivides0(xr,xn)|doDivides0(xr,xm)|$false|~doDivides0(xr,sdtasdt0(xn,xm))|~aNaturalNumber0(xn)|~aNaturalNumber0(xm)|~aNaturalNumber0(xr)|~aNaturalNumber0(sdtpldt0(sdtpldt0(xn,xm),xr))),inference(rw,[status(thm)],[14832,394,theory(equality)])).
% cnf(15029,plain,(doDivides0(xr,xn)|doDivides0(xr,xm)|$false|$false|~aNaturalNumber0(xn)|~aNaturalNumber0(xm)|~aNaturalNumber0(xr)|~aNaturalNumber0(sdtpldt0(sdtpldt0(xn,xm),xr))),inference(rw,[status(thm)],[inference(rw,[status(thm)],[15028,382,theory(equality)]),440,theory(equality)])).
% cnf(15030,plain,(doDivides0(xr,xn)|doDivides0(xr,xm)|$false|$false|$false|~aNaturalNumber0(xm)|~aNaturalNumber0(xr)|~aNaturalNumber0(sdtpldt0(sdtpldt0(xn,xm),xr))),inference(rw,[status(thm)],[15029,216,theory(equality)])).
% cnf(15031,plain,(doDivides0(xr,xn)|doDivides0(xr,xm)|$false|$false|$false|$false|~aNaturalNumber0(xr)|~aNaturalNumber0(sdtpldt0(sdtpldt0(xn,xm),xr))),inference(rw,[status(thm)],[15030,215,theory(equality)])).
% cnf(15032,plain,(doDivides0(xr,xn)|doDivides0(xr,xm)|$false|$false|$false|$false|$false|~aNaturalNumber0(sdtpldt0(sdtpldt0(xn,xm),xr))),inference(rw,[status(thm)],[15031,400,theory(equality)])).
% cnf(15033,plain,(doDivides0(xr,xn)|doDivides0(xr,xm)|~aNaturalNumber0(sdtpldt0(sdtpldt0(xn,xm),xr))),inference(cn,[status(thm)],[15032,theory(equality)])).
% cnf(15034,plain,(doDivides0(xr,xm)|~aNaturalNumber0(sdtpldt0(sdtpldt0(xn,xm),xr))),inference(sr,[status(thm)],[15033,437,theory(equality)])).
% cnf(15035,plain,(~aNaturalNumber0(sdtpldt0(sdtpldt0(xn,xm),xr))),inference(sr,[status(thm)],[15034,436,theory(equality)])).
% cnf(16715,plain,(~aNaturalNumber0(xr)|~aNaturalNumber0(sdtpldt0(xn,xm))),inference(spm,[status(thm)],[15035,61,theory(equality)])).
% cnf(16724,plain,($false|~aNaturalNumber0(sdtpldt0(xn,xm))),inference(rw,[status(thm)],[16715,400,theory(equality)])).
% cnf(16725,plain,(~aNaturalNumber0(sdtpldt0(xn,xm))),inference(cn,[status(thm)],[16724,theory(equality)])).
% cnf(16727,plain,(~aNaturalNumber0(xm)|~aNaturalNumber0(xn)),inference(spm,[status(thm)],[16725,61,theory(equality)])).
% cnf(16728,plain,($false|~aNaturalNumber0(xn)),inference(rw,[status(thm)],[16727,215,theory(equality)])).
% cnf(16729,plain,($false|$false),inference(rw,[status(thm)],[16728,216,theory(equality)])).
% cnf(16730,plain,($false),inference(cn,[status(thm)],[16729,theory(equality)])).
% cnf(16731,plain,($false),16730,['proof']).
% # SZS output end CNFRefutation
% # Processed clauses : 1354
% # ...of these trivial : 12
% # ...subsumed : 439
% # ...remaining for further processing: 903
% # Other redundant clauses eliminated : 50
% # Clauses deleted for lack of memory : 0
% # Backward-subsumed : 31
% # Backward-rewritten : 10
% # Generated clauses : 6521
% # ...of the previous two non-trivial : 6218
% # Contextual simplify-reflections : 56
% # Paramodulations : 6435
% # Factorizations : 2
% # Equation resolutions : 81
% # Current number of processed clauses: 616
% # Positive orientable unit clauses: 77
% # Positive unorientable unit clauses: 0
% # Negative unit clauses : 47
% # Non-unit-clauses : 492
% # Current number of unprocessed clauses: 5243
% # ...number of literals in the above : 46686
% # Clause-clause subsumption calls (NU) : 26082
% # Rec. Clause-clause subsumption calls : 3369
% # Unit Clause-clause subsumption calls : 463
% # Rewrite failures with RHS unbound : 0
% # Indexed BW rewrite attempts : 9
% # Indexed BW rewrite successes : 9
% # Backwards rewriting index: 474 leaves, 1.14+/-0.661 terms/leaf
% # Paramod-from index: 250 leaves, 1.04+/-0.196 terms/leaf
% # Paramod-into index: 335 leaves, 1.10+/-0.551 terms/leaf
% # -------------------------------------------------
% # User time : 0.512 s
% # System time : 0.020 s
% # Total time : 0.532 s
% # Maximum resident set size: 0 pages
% PrfWatch: 0.97 CPU 1.04 WC
% FINAL PrfWatch: 0.97 CPU 1.04 WC
% SZS output end Solution for /tmp/SystemOnTPTP9050/NUM508+3.tptp
%
%------------------------------------------------------------------------------