TSTP Solution File: NUM495+3 by SRASS---0.1
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- Process Solution
%------------------------------------------------------------------------------
% File : SRASS---0.1
% Problem : NUM495+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 : art09.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 19:34:23 EST 2010
% Result : Theorem 1.74s
% Output : Solution 1.74s
% 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/SystemOnTPTP7717/NUM495+3.tptp
% Adding relevance values
% Extracting the conjecture
% Sorting axioms by relevance
% Looking for THM ...
% found
% SZS status THM for /tmp/SystemOnTPTP7717/NUM495+3.tptp
% SZS output start Solution for /tmp/SystemOnTPTP7717/NUM495+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 7847
% TreeLimitedRun: ----------------------------------------------------------
% PrfWatch: 0.00 CPU 0.00 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(27, axiom,![X1]:![X2]:((aNaturalNumber0(X1)&aNaturalNumber0(X2))=>((~(X1=X2)&sdtlseqdt0(X1,X2))=>iLess0(X1,X2))),file('/tmp/SRASS.s.p', mIH_03)).
% fof(35, axiom,((aNaturalNumber0(xn)&aNaturalNumber0(xm))&aNaturalNumber0(xp)),file('/tmp/SRASS.s.p', m__1837)).
% fof(36, 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(37, axiom,(((((~(xp=sz00)&~(xp=sz10))&![X1]:((aNaturalNumber0(X1)&(?[X2]:(aNaturalNumber0(X2)&xp=sdtasdt0(X1,X2))|doDivides0(X1,xp)))=>(X1=sz10|X1=xp)))&isPrime0(xp))&?[X1]:(aNaturalNumber0(X1)&sdtasdt0(xn,xm)=sdtasdt0(xp,X1)))&doDivides0(xp,sdtasdt0(xn,xm))),file('/tmp/SRASS.s.p', m__1860)).
% fof(39, axiom,((aNaturalNumber0(xr)&sdtpldt0(xp,xr)=xn)&xr=sdtmndt0(xn,xp)),file('/tmp/SRASS.s.p', m__1883)).
% fof(41, axiom,(?[X1]:(aNaturalNumber0(X1)&sdtasdt0(xr,xm)=sdtasdt0(xp,X1))&doDivides0(xp,sdtasdt0(xr,xm))),file('/tmp/SRASS.s.p', m__1913)).
% fof(42, axiom,((~(sdtpldt0(sdtpldt0(xr,xm),xp)=sdtpldt0(sdtpldt0(xn,xm),xp))&?[X1]:(aNaturalNumber0(X1)&sdtpldt0(sdtpldt0(sdtpldt0(xr,xm),xp),X1)=sdtpldt0(sdtpldt0(xn,xm),xp)))&sdtlseqdt0(sdtpldt0(sdtpldt0(xr,xm),xp),sdtpldt0(sdtpldt0(xn,xm),xp))),file('/tmp/SRASS.s.p', m__2062)).
% fof(47, conjecture,(((?[X1]:(aNaturalNumber0(X1)&xr=sdtasdt0(xp,X1))|doDivides0(xp,xr))|?[X1]:(aNaturalNumber0(X1)&xm=sdtasdt0(xp,X1)))|doDivides0(xp,xm)),file('/tmp/SRASS.s.p', m__)).
% fof(48, negated_conjecture,~((((?[X1]:(aNaturalNumber0(X1)&xr=sdtasdt0(xp,X1))|doDivides0(xp,xr))|?[X1]:(aNaturalNumber0(X1)&xm=sdtasdt0(xp,X1)))|doDivides0(xp,xm))),inference(assume_negation,[status(cth)],[47])).
% fof(54, plain,![X1]:![X2]:((~(aNaturalNumber0(X1))|~(aNaturalNumber0(X2)))|aNaturalNumber0(sdtpldt0(X1,X2))),inference(fof_nnf,[status(thm)],[3])).
% fof(55, plain,![X3]:![X4]:((~(aNaturalNumber0(X3))|~(aNaturalNumber0(X4)))|aNaturalNumber0(sdtpldt0(X3,X4))),inference(variable_rename,[status(thm)],[54])).
% cnf(56,plain,(aNaturalNumber0(sdtpldt0(X1,X2))|~aNaturalNumber0(X2)|~aNaturalNumber0(X1)),inference(split_conjunct,[status(thm)],[55])).
% fof(163, plain,![X1]:![X2]:((~(aNaturalNumber0(X1))|~(aNaturalNumber0(X2)))|((X1=X2|~(sdtlseqdt0(X1,X2)))|iLess0(X1,X2))),inference(fof_nnf,[status(thm)],[27])).
% fof(164, plain,![X3]:![X4]:((~(aNaturalNumber0(X3))|~(aNaturalNumber0(X4)))|((X3=X4|~(sdtlseqdt0(X3,X4)))|iLess0(X3,X4))),inference(variable_rename,[status(thm)],[163])).
% cnf(165,plain,(iLess0(X1,X2)|X1=X2|~sdtlseqdt0(X1,X2)|~aNaturalNumber0(X2)|~aNaturalNumber0(X1)),inference(split_conjunct,[status(thm)],[164])).
% cnf(205,plain,(aNaturalNumber0(xp)),inference(split_conjunct,[status(thm)],[35])).
% cnf(206,plain,(aNaturalNumber0(xm)),inference(split_conjunct,[status(thm)],[35])).
% fof(208, 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)],[36])).
% fof(209, 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)],[208])).
% fof(210, 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)],[209])).
% fof(211, 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)],[210])).
% fof(212, 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)],[211])).
% cnf(213,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)],[212])).
% fof(339, plain,(((((~(xp=sz00)&~(xp=sz10))&![X1]:((~(aNaturalNumber0(X1))|(![X2]:(~(aNaturalNumber0(X2))|~(xp=sdtasdt0(X1,X2)))&~(doDivides0(X1,xp))))|(X1=sz10|X1=xp)))&isPrime0(xp))&?[X1]:(aNaturalNumber0(X1)&sdtasdt0(xn,xm)=sdtasdt0(xp,X1)))&doDivides0(xp,sdtasdt0(xn,xm))),inference(fof_nnf,[status(thm)],[37])).
% fof(340, plain,(((((~(xp=sz00)&~(xp=sz10))&![X3]:((~(aNaturalNumber0(X3))|(![X4]:(~(aNaturalNumber0(X4))|~(xp=sdtasdt0(X3,X4)))&~(doDivides0(X3,xp))))|(X3=sz10|X3=xp)))&isPrime0(xp))&?[X5]:(aNaturalNumber0(X5)&sdtasdt0(xn,xm)=sdtasdt0(xp,X5)))&doDivides0(xp,sdtasdt0(xn,xm))),inference(variable_rename,[status(thm)],[339])).
% fof(341, plain,(((((~(xp=sz00)&~(xp=sz10))&![X3]:((~(aNaturalNumber0(X3))|(![X4]:(~(aNaturalNumber0(X4))|~(xp=sdtasdt0(X3,X4)))&~(doDivides0(X3,xp))))|(X3=sz10|X3=xp)))&isPrime0(xp))&(aNaturalNumber0(esk9_0)&sdtasdt0(xn,xm)=sdtasdt0(xp,esk9_0)))&doDivides0(xp,sdtasdt0(xn,xm))),inference(skolemize,[status(esa)],[340])).
% fof(342, plain,![X3]:![X4]:((((((((~(aNaturalNumber0(X4))|~(xp=sdtasdt0(X3,X4)))&~(doDivides0(X3,xp)))|~(aNaturalNumber0(X3)))|(X3=sz10|X3=xp))&(~(xp=sz00)&~(xp=sz10)))&isPrime0(xp))&(aNaturalNumber0(esk9_0)&sdtasdt0(xn,xm)=sdtasdt0(xp,esk9_0)))&doDivides0(xp,sdtasdt0(xn,xm))),inference(shift_quantors,[status(thm)],[341])).
% fof(343, plain,![X3]:![X4]:((((((((~(aNaturalNumber0(X4))|~(xp=sdtasdt0(X3,X4)))|~(aNaturalNumber0(X3)))|(X3=sz10|X3=xp))&((~(doDivides0(X3,xp))|~(aNaturalNumber0(X3)))|(X3=sz10|X3=xp)))&(~(xp=sz00)&~(xp=sz10)))&isPrime0(xp))&(aNaturalNumber0(esk9_0)&sdtasdt0(xn,xm)=sdtasdt0(xp,esk9_0)))&doDivides0(xp,sdtasdt0(xn,xm))),inference(distribute,[status(thm)],[342])).
% cnf(347,plain,(isPrime0(xp)),inference(split_conjunct,[status(thm)],[343])).
% cnf(359,plain,(aNaturalNumber0(xr)),inference(split_conjunct,[status(thm)],[39])).
% fof(366, plain,(?[X2]:(aNaturalNumber0(X2)&sdtasdt0(xr,xm)=sdtasdt0(xp,X2))&doDivides0(xp,sdtasdt0(xr,xm))),inference(variable_rename,[status(thm)],[41])).
% fof(367, plain,((aNaturalNumber0(esk12_0)&sdtasdt0(xr,xm)=sdtasdt0(xp,esk12_0))&doDivides0(xp,sdtasdt0(xr,xm))),inference(skolemize,[status(esa)],[366])).
% cnf(368,plain,(doDivides0(xp,sdtasdt0(xr,xm))),inference(split_conjunct,[status(thm)],[367])).
% cnf(369,plain,(sdtasdt0(xr,xm)=sdtasdt0(xp,esk12_0)),inference(split_conjunct,[status(thm)],[367])).
% fof(371, plain,((~(sdtpldt0(sdtpldt0(xr,xm),xp)=sdtpldt0(sdtpldt0(xn,xm),xp))&?[X2]:(aNaturalNumber0(X2)&sdtpldt0(sdtpldt0(sdtpldt0(xr,xm),xp),X2)=sdtpldt0(sdtpldt0(xn,xm),xp)))&sdtlseqdt0(sdtpldt0(sdtpldt0(xr,xm),xp),sdtpldt0(sdtpldt0(xn,xm),xp))),inference(variable_rename,[status(thm)],[42])).
% fof(372, plain,((~(sdtpldt0(sdtpldt0(xr,xm),xp)=sdtpldt0(sdtpldt0(xn,xm),xp))&(aNaturalNumber0(esk13_0)&sdtpldt0(sdtpldt0(sdtpldt0(xr,xm),xp),esk13_0)=sdtpldt0(sdtpldt0(xn,xm),xp)))&sdtlseqdt0(sdtpldt0(sdtpldt0(xr,xm),xp),sdtpldt0(sdtpldt0(xn,xm),xp))),inference(skolemize,[status(esa)],[371])).
% cnf(373,plain,(sdtlseqdt0(sdtpldt0(sdtpldt0(xr,xm),xp),sdtpldt0(sdtpldt0(xn,xm),xp))),inference(split_conjunct,[status(thm)],[372])).
% cnf(374,plain,(sdtpldt0(sdtpldt0(sdtpldt0(xr,xm),xp),esk13_0)=sdtpldt0(sdtpldt0(xn,xm),xp)),inference(split_conjunct,[status(thm)],[372])).
% cnf(375,plain,(aNaturalNumber0(esk13_0)),inference(split_conjunct,[status(thm)],[372])).
% cnf(376,plain,(sdtpldt0(sdtpldt0(xr,xm),xp)!=sdtpldt0(sdtpldt0(xn,xm),xp)),inference(split_conjunct,[status(thm)],[372])).
% fof(392, negated_conjecture,(((![X1]:(~(aNaturalNumber0(X1))|~(xr=sdtasdt0(xp,X1)))&~(doDivides0(xp,xr)))&![X1]:(~(aNaturalNumber0(X1))|~(xm=sdtasdt0(xp,X1))))&~(doDivides0(xp,xm))),inference(fof_nnf,[status(thm)],[48])).
% fof(393, negated_conjecture,(((![X2]:(~(aNaturalNumber0(X2))|~(xr=sdtasdt0(xp,X2)))&~(doDivides0(xp,xr)))&![X3]:(~(aNaturalNumber0(X3))|~(xm=sdtasdt0(xp,X3))))&~(doDivides0(xp,xm))),inference(variable_rename,[status(thm)],[392])).
% fof(394, negated_conjecture,![X2]:![X3]:(((~(aNaturalNumber0(X3))|~(xm=sdtasdt0(xp,X3)))&((~(aNaturalNumber0(X2))|~(xr=sdtasdt0(xp,X2)))&~(doDivides0(xp,xr))))&~(doDivides0(xp,xm))),inference(shift_quantors,[status(thm)],[393])).
% cnf(395,negated_conjecture,(~doDivides0(xp,xm)),inference(split_conjunct,[status(thm)],[394])).
% cnf(396,negated_conjecture,(~doDivides0(xp,xr)),inference(split_conjunct,[status(thm)],[394])).
% cnf(399,plain,(doDivides0(xp,sdtasdt0(xp,esk12_0))),inference(rw,[status(thm)],[368,369,theory(equality)])).
% cnf(569,plain,(aNaturalNumber0(sdtpldt0(sdtpldt0(xn,xm),xp))|~aNaturalNumber0(esk13_0)|~aNaturalNumber0(sdtpldt0(sdtpldt0(xr,xm),xp))),inference(spm,[status(thm)],[56,374,theory(equality)])).
% cnf(570,plain,(aNaturalNumber0(sdtpldt0(sdtpldt0(xn,xm),xp))|$false|~aNaturalNumber0(sdtpldt0(sdtpldt0(xr,xm),xp))),inference(rw,[status(thm)],[569,375,theory(equality)])).
% cnf(571,plain,(aNaturalNumber0(sdtpldt0(sdtpldt0(xn,xm),xp))|~aNaturalNumber0(sdtpldt0(sdtpldt0(xr,xm),xp))),inference(cn,[status(thm)],[570,theory(equality)])).
% cnf(755,plain,(sdtpldt0(sdtpldt0(xr,xm),xp)=sdtpldt0(sdtpldt0(xn,xm),xp)|iLess0(sdtpldt0(sdtpldt0(xr,xm),xp),sdtpldt0(sdtpldt0(xn,xm),xp))|~aNaturalNumber0(sdtpldt0(sdtpldt0(xn,xm),xp))|~aNaturalNumber0(sdtpldt0(sdtpldt0(xr,xm),xp))),inference(spm,[status(thm)],[165,373,theory(equality)])).
% cnf(766,plain,(iLess0(sdtpldt0(sdtpldt0(xr,xm),xp),sdtpldt0(sdtpldt0(xn,xm),xp))|~aNaturalNumber0(sdtpldt0(sdtpldt0(xn,xm),xp))|~aNaturalNumber0(sdtpldt0(sdtpldt0(xr,xm),xp))),inference(sr,[status(thm)],[755,376,theory(equality)])).
% cnf(13835,plain,(iLess0(sdtpldt0(sdtpldt0(xr,xm),xp),sdtpldt0(sdtpldt0(xn,xm),xp))|~aNaturalNumber0(sdtpldt0(sdtpldt0(xr,xm),xp))),inference(csr,[status(thm)],[766,571])).
% cnf(13847,plain,(doDivides0(xp,xr)|doDivides0(xp,xm)|~isPrime0(xp)|~doDivides0(xp,sdtasdt0(xr,xm))|~aNaturalNumber0(xr)|~aNaturalNumber0(xm)|~aNaturalNumber0(xp)|~aNaturalNumber0(sdtpldt0(sdtpldt0(xr,xm),xp))),inference(spm,[status(thm)],[213,13835,theory(equality)])).
% cnf(14038,plain,(doDivides0(xp,xr)|doDivides0(xp,xm)|$false|~doDivides0(xp,sdtasdt0(xr,xm))|~aNaturalNumber0(xr)|~aNaturalNumber0(xm)|~aNaturalNumber0(xp)|~aNaturalNumber0(sdtpldt0(sdtpldt0(xr,xm),xp))),inference(rw,[status(thm)],[13847,347,theory(equality)])).
% cnf(14039,plain,(doDivides0(xp,xr)|doDivides0(xp,xm)|$false|$false|~aNaturalNumber0(xr)|~aNaturalNumber0(xm)|~aNaturalNumber0(xp)|~aNaturalNumber0(sdtpldt0(sdtpldt0(xr,xm),xp))),inference(rw,[status(thm)],[inference(rw,[status(thm)],[14038,369,theory(equality)]),399,theory(equality)])).
% cnf(14040,plain,(doDivides0(xp,xr)|doDivides0(xp,xm)|$false|$false|$false|~aNaturalNumber0(xm)|~aNaturalNumber0(xp)|~aNaturalNumber0(sdtpldt0(sdtpldt0(xr,xm),xp))),inference(rw,[status(thm)],[14039,359,theory(equality)])).
% cnf(14041,plain,(doDivides0(xp,xr)|doDivides0(xp,xm)|$false|$false|$false|$false|~aNaturalNumber0(xp)|~aNaturalNumber0(sdtpldt0(sdtpldt0(xr,xm),xp))),inference(rw,[status(thm)],[14040,206,theory(equality)])).
% cnf(14042,plain,(doDivides0(xp,xr)|doDivides0(xp,xm)|$false|$false|$false|$false|$false|~aNaturalNumber0(sdtpldt0(sdtpldt0(xr,xm),xp))),inference(rw,[status(thm)],[14041,205,theory(equality)])).
% cnf(14043,plain,(doDivides0(xp,xr)|doDivides0(xp,xm)|~aNaturalNumber0(sdtpldt0(sdtpldt0(xr,xm),xp))),inference(cn,[status(thm)],[14042,theory(equality)])).
% cnf(14044,plain,(doDivides0(xp,xm)|~aNaturalNumber0(sdtpldt0(sdtpldt0(xr,xm),xp))),inference(sr,[status(thm)],[14043,396,theory(equality)])).
% cnf(14045,plain,(~aNaturalNumber0(sdtpldt0(sdtpldt0(xr,xm),xp))),inference(sr,[status(thm)],[14044,395,theory(equality)])).
% cnf(15128,plain,(~aNaturalNumber0(xp)|~aNaturalNumber0(sdtpldt0(xr,xm))),inference(spm,[status(thm)],[14045,56,theory(equality)])).
% cnf(15143,plain,($false|~aNaturalNumber0(sdtpldt0(xr,xm))),inference(rw,[status(thm)],[15128,205,theory(equality)])).
% cnf(15144,plain,(~aNaturalNumber0(sdtpldt0(xr,xm))),inference(cn,[status(thm)],[15143,theory(equality)])).
% cnf(15148,plain,(~aNaturalNumber0(xm)|~aNaturalNumber0(xr)),inference(spm,[status(thm)],[15144,56,theory(equality)])).
% cnf(15155,plain,($false|~aNaturalNumber0(xr)),inference(rw,[status(thm)],[15148,206,theory(equality)])).
% cnf(15156,plain,($false|$false),inference(rw,[status(thm)],[15155,359,theory(equality)])).
% cnf(15157,plain,($false),inference(cn,[status(thm)],[15156,theory(equality)])).
% cnf(15158,plain,($false),15157,['proof']).
% # SZS output end CNFRefutation
% # Processed clauses : 1146
% # ...of these trivial : 3
% # ...subsumed : 383
% # ...remaining for further processing: 760
% # Other redundant clauses eliminated : 46
% # Clauses deleted for lack of memory : 0
% # Backward-subsumed : 14
% # Backward-rewritten : 13
% # Generated clauses : 5773
% # ...of the previous two non-trivial : 5543
% # Contextual simplify-reflections : 65
% # Paramodulations : 5699
% # Factorizations : 1
% # Equation resolutions : 72
% # Current number of processed clauses: 511
% # Positive orientable unit clauses: 58
% # Positive unorientable unit clauses: 0
% # Negative unit clauses : 39
% # Non-unit-clauses : 414
% # Current number of unprocessed clauses: 4765
% # ...number of literals in the above : 44426
% # Clause-clause subsumption calls (NU) : 19802
% # Rec. Clause-clause subsumption calls : 2371
% # Unit Clause-clause subsumption calls : 745
% # Rewrite failures with RHS unbound : 0
% # Indexed BW rewrite attempts : 11
% # Indexed BW rewrite successes : 9
% # Backwards rewriting index: 373 leaves, 1.18+/-0.744 terms/leaf
% # Paramod-from index: 185 leaves, 1.06+/-0.236 terms/leaf
% # Paramod-into index: 264 leaves, 1.13+/-0.620 terms/leaf
% # -------------------------------------------------
% # User time : 0.475 s
% # System time : 0.016 s
% # Total time : 0.491 s
% # Maximum resident set size: 0 pages
% PrfWatch: 0.87 CPU 0.96 WC
% FINAL PrfWatch: 0.87 CPU 0.96 WC
% SZS output end Solution for /tmp/SystemOnTPTP7717/NUM495+3.tptp
%
%------------------------------------------------------------------------------