TSTP Solution File: NUM447+5 by SRASS---0.1
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- Process Solution
%------------------------------------------------------------------------------
% File : SRASS---0.1
% Problem : NUM447+5 : 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 19:12:30 EST 2010
% Result : Theorem 4.12s
% Output : Solution 4.12s
% 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/SystemOnTPTP18093/NUM447+5.tptp
% Adding relevance values
% Extracting the conjecture
% Sorting axioms by relevance
% Looking for THM ...
% found
% SZS status THM for /tmp/SystemOnTPTP18093/NUM447+5.tptp
% SZS output start Solution for /tmp/SystemOnTPTP18093/NUM447+5.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 18189
% TreeLimitedRun: ----------------------------------------------------------
% PrfWatch: 0.00 CPU 0.02 WC
% PrfWatch: 1.92 CPU 2.02 WC
% # Preprocessing time : 0.025 s
% # Problem is unsatisfiable (or provable), constructing proof object
% # SZS status Theorem
% # SZS output start CNFRefutation.
% fof(1, axiom,aInteger0(sz00),file('/tmp/SRASS.s.p', mIntZero)).
% fof(2, axiom,![X1]:(aInteger0(X1)=>aInteger0(smndt0(X1))),file('/tmp/SRASS.s.p', mIntNeg)).
% fof(7, axiom,![X1]:(aInteger0(X1)=>(sdtpldt0(X1,sz00)=X1&X1=sdtpldt0(sz00,X1))),file('/tmp/SRASS.s.p', mAddZero)).
% fof(8, axiom,![X1]:(aInteger0(X1)=>(sdtpldt0(X1,smndt0(X1))=sz00&sz00=sdtpldt0(smndt0(X1),X1))),file('/tmp/SRASS.s.p', mAddNeg)).
% fof(14, axiom,![X1]:(aInteger0(X1)=>![X2]:(aDivisorOf0(X2,X1)<=>((aInteger0(X2)&~(X2=sz00))&?[X3]:(aInteger0(X3)&sdtasdt0(X2,X3)=X1)))),file('/tmp/SRASS.s.p', mDivisor)).
% fof(21, axiom,((aSet0(xS)&![X1]:((aElementOf0(X1,xS)=>?[X2]:(((((aInteger0(X2)&~(X2=sz00))&isPrime0(X2))&aSet0(szAzrzSzezqlpdtcmdtrp0(sz00,X2)))&![X3]:((aElementOf0(X3,szAzrzSzezqlpdtcmdtrp0(sz00,X2))=>(((aInteger0(X3)&?[X4]:(aInteger0(X4)&sdtasdt0(X2,X4)=sdtpldt0(X3,smndt0(sz00))))&aDivisorOf0(X2,sdtpldt0(X3,smndt0(sz00))))&sdteqdtlpzmzozddtrp0(X3,sz00,X2)))&((aInteger0(X3)&((?[X4]:(aInteger0(X4)&sdtasdt0(X2,X4)=sdtpldt0(X3,smndt0(sz00)))|aDivisorOf0(X2,sdtpldt0(X3,smndt0(sz00))))|sdteqdtlpzmzozddtrp0(X3,sz00,X2)))=>aElementOf0(X3,szAzrzSzezqlpdtcmdtrp0(sz00,X2)))))&szAzrzSzezqlpdtcmdtrp0(sz00,X2)=X1))&(?[X2]:(((aInteger0(X2)&~(X2=sz00))&isPrime0(X2))&((aSet0(szAzrzSzezqlpdtcmdtrp0(sz00,X2))&![X3]:((aElementOf0(X3,szAzrzSzezqlpdtcmdtrp0(sz00,X2))=>(((aInteger0(X3)&?[X4]:(aInteger0(X4)&sdtasdt0(X2,X4)=sdtpldt0(X3,smndt0(sz00))))&aDivisorOf0(X2,sdtpldt0(X3,smndt0(sz00))))&sdteqdtlpzmzozddtrp0(X3,sz00,X2)))&((aInteger0(X3)&((?[X4]:(aInteger0(X4)&sdtasdt0(X2,X4)=sdtpldt0(X3,smndt0(sz00)))|aDivisorOf0(X2,sdtpldt0(X3,smndt0(sz00))))|sdteqdtlpzmzozddtrp0(X3,sz00,X2)))=>aElementOf0(X3,szAzrzSzezqlpdtcmdtrp0(sz00,X2)))))=>szAzrzSzezqlpdtcmdtrp0(sz00,X2)=X1))=>aElementOf0(X1,xS))))&xS=cS2043),file('/tmp/SRASS.s.p', m__2046)).
% fof(22, axiom,aInteger0(xn),file('/tmp/SRASS.s.p', m__2106)).
% fof(26, axiom,![X1]:(aSet0(X1)=>![X2]:(aSubsetOf0(X2,X1)<=>(aSet0(X2)&![X3]:(aElementOf0(X3,X2)=>aElementOf0(X3,X1))))),file('/tmp/SRASS.s.p', mSubset)).
% fof(37, axiom,![X1]:(aSubsetOf0(X1,cS1395)=>![X2]:(X2=stldt0(X1)<=>(aSet0(X2)&![X3]:(aElementOf0(X3,X2)<=>(aInteger0(X3)&~(aElementOf0(X3,X1))))))),file('/tmp/SRASS.s.p', mComplement)).
% fof(44, conjecture,(((?[X1]:(aElementOf0(X1,xS)&aElementOf0(xn,X1))&aElementOf0(xn,sbsmnsldt0(xS)))=>?[X1]:((((aInteger0(X1)&~(X1=sz00))&?[X2]:(aInteger0(X2)&sdtasdt0(X1,X2)=xn))|aDivisorOf0(X1,xn))&isPrime0(X1)))&(?[X1]:((((aInteger0(X1)&~(X1=sz00))&?[X2]:(aInteger0(X2)&sdtasdt0(X1,X2)=xn))&aDivisorOf0(X1,xn))&isPrime0(X1))=>(?[X1]:(aElementOf0(X1,xS)&aElementOf0(xn,X1))|aElementOf0(xn,sbsmnsldt0(xS))))),file('/tmp/SRASS.s.p', m__)).
% fof(45, negated_conjecture,~((((?[X1]:(aElementOf0(X1,xS)&aElementOf0(xn,X1))&aElementOf0(xn,sbsmnsldt0(xS)))=>?[X1]:((((aInteger0(X1)&~(X1=sz00))&?[X2]:(aInteger0(X2)&sdtasdt0(X1,X2)=xn))|aDivisorOf0(X1,xn))&isPrime0(X1)))&(?[X1]:((((aInteger0(X1)&~(X1=sz00))&?[X2]:(aInteger0(X2)&sdtasdt0(X1,X2)=xn))&aDivisorOf0(X1,xn))&isPrime0(X1))=>(?[X1]:(aElementOf0(X1,xS)&aElementOf0(xn,X1))|aElementOf0(xn,sbsmnsldt0(xS)))))),inference(assume_negation,[status(cth)],[44])).
% fof(49, plain,![X1]:(aSubsetOf0(X1,cS1395)=>![X2]:(X2=stldt0(X1)<=>(aSet0(X2)&![X3]:(aElementOf0(X3,X2)<=>(aInteger0(X3)&~(aElementOf0(X3,X1))))))),inference(fof_simplification,[status(thm)],[37,theory(equality)])).
% cnf(52,plain,(aInteger0(sz00)),inference(split_conjunct,[status(thm)],[1])).
% fof(53, plain,![X1]:(~(aInteger0(X1))|aInteger0(smndt0(X1))),inference(fof_nnf,[status(thm)],[2])).
% fof(54, plain,![X2]:(~(aInteger0(X2))|aInteger0(smndt0(X2))),inference(variable_rename,[status(thm)],[53])).
% cnf(55,plain,(aInteger0(smndt0(X1))|~aInteger0(X1)),inference(split_conjunct,[status(thm)],[54])).
% fof(68, plain,![X1]:(~(aInteger0(X1))|(sdtpldt0(X1,sz00)=X1&X1=sdtpldt0(sz00,X1))),inference(fof_nnf,[status(thm)],[7])).
% fof(69, plain,![X2]:(~(aInteger0(X2))|(sdtpldt0(X2,sz00)=X2&X2=sdtpldt0(sz00,X2))),inference(variable_rename,[status(thm)],[68])).
% fof(70, plain,![X2]:((sdtpldt0(X2,sz00)=X2|~(aInteger0(X2)))&(X2=sdtpldt0(sz00,X2)|~(aInteger0(X2)))),inference(distribute,[status(thm)],[69])).
% cnf(71,plain,(X1=sdtpldt0(sz00,X1)|~aInteger0(X1)),inference(split_conjunct,[status(thm)],[70])).
% cnf(72,plain,(sdtpldt0(X1,sz00)=X1|~aInteger0(X1)),inference(split_conjunct,[status(thm)],[70])).
% fof(73, plain,![X1]:(~(aInteger0(X1))|(sdtpldt0(X1,smndt0(X1))=sz00&sz00=sdtpldt0(smndt0(X1),X1))),inference(fof_nnf,[status(thm)],[8])).
% fof(74, plain,![X2]:(~(aInteger0(X2))|(sdtpldt0(X2,smndt0(X2))=sz00&sz00=sdtpldt0(smndt0(X2),X2))),inference(variable_rename,[status(thm)],[73])).
% fof(75, plain,![X2]:((sdtpldt0(X2,smndt0(X2))=sz00|~(aInteger0(X2)))&(sz00=sdtpldt0(smndt0(X2),X2)|~(aInteger0(X2)))),inference(distribute,[status(thm)],[74])).
% cnf(77,plain,(sdtpldt0(X1,smndt0(X1))=sz00|~aInteger0(X1)),inference(split_conjunct,[status(thm)],[75])).
% fof(97, plain,![X1]:(~(aInteger0(X1))|![X2]:((~(aDivisorOf0(X2,X1))|((aInteger0(X2)&~(X2=sz00))&?[X3]:(aInteger0(X3)&sdtasdt0(X2,X3)=X1)))&(((~(aInteger0(X2))|X2=sz00)|![X3]:(~(aInteger0(X3))|~(sdtasdt0(X2,X3)=X1)))|aDivisorOf0(X2,X1)))),inference(fof_nnf,[status(thm)],[14])).
% fof(98, plain,![X4]:(~(aInteger0(X4))|![X5]:((~(aDivisorOf0(X5,X4))|((aInteger0(X5)&~(X5=sz00))&?[X6]:(aInteger0(X6)&sdtasdt0(X5,X6)=X4)))&(((~(aInteger0(X5))|X5=sz00)|![X7]:(~(aInteger0(X7))|~(sdtasdt0(X5,X7)=X4)))|aDivisorOf0(X5,X4)))),inference(variable_rename,[status(thm)],[97])).
% fof(99, plain,![X4]:(~(aInteger0(X4))|![X5]:((~(aDivisorOf0(X5,X4))|((aInteger0(X5)&~(X5=sz00))&(aInteger0(esk1_2(X4,X5))&sdtasdt0(X5,esk1_2(X4,X5))=X4)))&(((~(aInteger0(X5))|X5=sz00)|![X7]:(~(aInteger0(X7))|~(sdtasdt0(X5,X7)=X4)))|aDivisorOf0(X5,X4)))),inference(skolemize,[status(esa)],[98])).
% fof(100, plain,![X4]:![X5]:![X7]:(((((~(aInteger0(X7))|~(sdtasdt0(X5,X7)=X4))|(~(aInteger0(X5))|X5=sz00))|aDivisorOf0(X5,X4))&(~(aDivisorOf0(X5,X4))|((aInteger0(X5)&~(X5=sz00))&(aInteger0(esk1_2(X4,X5))&sdtasdt0(X5,esk1_2(X4,X5))=X4))))|~(aInteger0(X4))),inference(shift_quantors,[status(thm)],[99])).
% fof(101, plain,![X4]:![X5]:![X7]:(((((~(aInteger0(X7))|~(sdtasdt0(X5,X7)=X4))|(~(aInteger0(X5))|X5=sz00))|aDivisorOf0(X5,X4))|~(aInteger0(X4)))&((((aInteger0(X5)|~(aDivisorOf0(X5,X4)))|~(aInteger0(X4)))&((~(X5=sz00)|~(aDivisorOf0(X5,X4)))|~(aInteger0(X4))))&(((aInteger0(esk1_2(X4,X5))|~(aDivisorOf0(X5,X4)))|~(aInteger0(X4)))&((sdtasdt0(X5,esk1_2(X4,X5))=X4|~(aDivisorOf0(X5,X4)))|~(aInteger0(X4)))))),inference(distribute,[status(thm)],[100])).
% cnf(104,plain,(~aInteger0(X1)|~aDivisorOf0(X2,X1)|X2!=sz00),inference(split_conjunct,[status(thm)],[101])).
% cnf(105,plain,(aInteger0(X2)|~aInteger0(X1)|~aDivisorOf0(X2,X1)),inference(split_conjunct,[status(thm)],[101])).
% fof(138, plain,((aSet0(xS)&![X1]:((~(aElementOf0(X1,xS))|?[X2]:(((((aInteger0(X2)&~(X2=sz00))&isPrime0(X2))&aSet0(szAzrzSzezqlpdtcmdtrp0(sz00,X2)))&![X3]:((~(aElementOf0(X3,szAzrzSzezqlpdtcmdtrp0(sz00,X2)))|(((aInteger0(X3)&?[X4]:(aInteger0(X4)&sdtasdt0(X2,X4)=sdtpldt0(X3,smndt0(sz00))))&aDivisorOf0(X2,sdtpldt0(X3,smndt0(sz00))))&sdteqdtlpzmzozddtrp0(X3,sz00,X2)))&((~(aInteger0(X3))|((![X4]:(~(aInteger0(X4))|~(sdtasdt0(X2,X4)=sdtpldt0(X3,smndt0(sz00))))&~(aDivisorOf0(X2,sdtpldt0(X3,smndt0(sz00)))))&~(sdteqdtlpzmzozddtrp0(X3,sz00,X2))))|aElementOf0(X3,szAzrzSzezqlpdtcmdtrp0(sz00,X2)))))&szAzrzSzezqlpdtcmdtrp0(sz00,X2)=X1))&(![X2]:(((~(aInteger0(X2))|X2=sz00)|~(isPrime0(X2)))|((aSet0(szAzrzSzezqlpdtcmdtrp0(sz00,X2))&![X3]:((~(aElementOf0(X3,szAzrzSzezqlpdtcmdtrp0(sz00,X2)))|(((aInteger0(X3)&?[X4]:(aInteger0(X4)&sdtasdt0(X2,X4)=sdtpldt0(X3,smndt0(sz00))))&aDivisorOf0(X2,sdtpldt0(X3,smndt0(sz00))))&sdteqdtlpzmzozddtrp0(X3,sz00,X2)))&((~(aInteger0(X3))|((![X4]:(~(aInteger0(X4))|~(sdtasdt0(X2,X4)=sdtpldt0(X3,smndt0(sz00))))&~(aDivisorOf0(X2,sdtpldt0(X3,smndt0(sz00)))))&~(sdteqdtlpzmzozddtrp0(X3,sz00,X2))))|aElementOf0(X3,szAzrzSzezqlpdtcmdtrp0(sz00,X2)))))&~(szAzrzSzezqlpdtcmdtrp0(sz00,X2)=X1)))|aElementOf0(X1,xS))))&xS=cS2043),inference(fof_nnf,[status(thm)],[21])).
% fof(139, plain,((aSet0(xS)&![X5]:((~(aElementOf0(X5,xS))|?[X6]:(((((aInteger0(X6)&~(X6=sz00))&isPrime0(X6))&aSet0(szAzrzSzezqlpdtcmdtrp0(sz00,X6)))&![X7]:((~(aElementOf0(X7,szAzrzSzezqlpdtcmdtrp0(sz00,X6)))|(((aInteger0(X7)&?[X8]:(aInteger0(X8)&sdtasdt0(X6,X8)=sdtpldt0(X7,smndt0(sz00))))&aDivisorOf0(X6,sdtpldt0(X7,smndt0(sz00))))&sdteqdtlpzmzozddtrp0(X7,sz00,X6)))&((~(aInteger0(X7))|((![X9]:(~(aInteger0(X9))|~(sdtasdt0(X6,X9)=sdtpldt0(X7,smndt0(sz00))))&~(aDivisorOf0(X6,sdtpldt0(X7,smndt0(sz00)))))&~(sdteqdtlpzmzozddtrp0(X7,sz00,X6))))|aElementOf0(X7,szAzrzSzezqlpdtcmdtrp0(sz00,X6)))))&szAzrzSzezqlpdtcmdtrp0(sz00,X6)=X5))&(![X10]:(((~(aInteger0(X10))|X10=sz00)|~(isPrime0(X10)))|((aSet0(szAzrzSzezqlpdtcmdtrp0(sz00,X10))&![X11]:((~(aElementOf0(X11,szAzrzSzezqlpdtcmdtrp0(sz00,X10)))|(((aInteger0(X11)&?[X12]:(aInteger0(X12)&sdtasdt0(X10,X12)=sdtpldt0(X11,smndt0(sz00))))&aDivisorOf0(X10,sdtpldt0(X11,smndt0(sz00))))&sdteqdtlpzmzozddtrp0(X11,sz00,X10)))&((~(aInteger0(X11))|((![X13]:(~(aInteger0(X13))|~(sdtasdt0(X10,X13)=sdtpldt0(X11,smndt0(sz00))))&~(aDivisorOf0(X10,sdtpldt0(X11,smndt0(sz00)))))&~(sdteqdtlpzmzozddtrp0(X11,sz00,X10))))|aElementOf0(X11,szAzrzSzezqlpdtcmdtrp0(sz00,X10)))))&~(szAzrzSzezqlpdtcmdtrp0(sz00,X10)=X5)))|aElementOf0(X5,xS))))&xS=cS2043),inference(variable_rename,[status(thm)],[138])).
% fof(140, plain,((aSet0(xS)&![X5]:((~(aElementOf0(X5,xS))|(((((aInteger0(esk3_1(X5))&~(esk3_1(X5)=sz00))&isPrime0(esk3_1(X5)))&aSet0(szAzrzSzezqlpdtcmdtrp0(sz00,esk3_1(X5))))&![X7]:((~(aElementOf0(X7,szAzrzSzezqlpdtcmdtrp0(sz00,esk3_1(X5))))|(((aInteger0(X7)&(aInteger0(esk4_2(X5,X7))&sdtasdt0(esk3_1(X5),esk4_2(X5,X7))=sdtpldt0(X7,smndt0(sz00))))&aDivisorOf0(esk3_1(X5),sdtpldt0(X7,smndt0(sz00))))&sdteqdtlpzmzozddtrp0(X7,sz00,esk3_1(X5))))&((~(aInteger0(X7))|((![X9]:(~(aInteger0(X9))|~(sdtasdt0(esk3_1(X5),X9)=sdtpldt0(X7,smndt0(sz00))))&~(aDivisorOf0(esk3_1(X5),sdtpldt0(X7,smndt0(sz00)))))&~(sdteqdtlpzmzozddtrp0(X7,sz00,esk3_1(X5)))))|aElementOf0(X7,szAzrzSzezqlpdtcmdtrp0(sz00,esk3_1(X5))))))&szAzrzSzezqlpdtcmdtrp0(sz00,esk3_1(X5))=X5))&(![X10]:(((~(aInteger0(X10))|X10=sz00)|~(isPrime0(X10)))|((aSet0(szAzrzSzezqlpdtcmdtrp0(sz00,X10))&![X11]:((~(aElementOf0(X11,szAzrzSzezqlpdtcmdtrp0(sz00,X10)))|(((aInteger0(X11)&(aInteger0(esk5_3(X5,X10,X11))&sdtasdt0(X10,esk5_3(X5,X10,X11))=sdtpldt0(X11,smndt0(sz00))))&aDivisorOf0(X10,sdtpldt0(X11,smndt0(sz00))))&sdteqdtlpzmzozddtrp0(X11,sz00,X10)))&((~(aInteger0(X11))|((![X13]:(~(aInteger0(X13))|~(sdtasdt0(X10,X13)=sdtpldt0(X11,smndt0(sz00))))&~(aDivisorOf0(X10,sdtpldt0(X11,smndt0(sz00)))))&~(sdteqdtlpzmzozddtrp0(X11,sz00,X10))))|aElementOf0(X11,szAzrzSzezqlpdtcmdtrp0(sz00,X10)))))&~(szAzrzSzezqlpdtcmdtrp0(sz00,X10)=X5)))|aElementOf0(X5,xS))))&xS=cS2043),inference(skolemize,[status(esa)],[139])).
% fof(141, plain,![X5]:![X7]:![X9]:![X10]:![X11]:![X13]:(((((((((((((~(aInteger0(X13))|~(sdtasdt0(X10,X13)=sdtpldt0(X11,smndt0(sz00))))&~(aDivisorOf0(X10,sdtpldt0(X11,smndt0(sz00)))))&~(sdteqdtlpzmzozddtrp0(X11,sz00,X10)))|~(aInteger0(X11)))|aElementOf0(X11,szAzrzSzezqlpdtcmdtrp0(sz00,X10)))&(~(aElementOf0(X11,szAzrzSzezqlpdtcmdtrp0(sz00,X10)))|(((aInteger0(X11)&(aInteger0(esk5_3(X5,X10,X11))&sdtasdt0(X10,esk5_3(X5,X10,X11))=sdtpldt0(X11,smndt0(sz00))))&aDivisorOf0(X10,sdtpldt0(X11,smndt0(sz00))))&sdteqdtlpzmzozddtrp0(X11,sz00,X10))))&aSet0(szAzrzSzezqlpdtcmdtrp0(sz00,X10)))&~(szAzrzSzezqlpdtcmdtrp0(sz00,X10)=X5))|((~(aInteger0(X10))|X10=sz00)|~(isPrime0(X10))))|aElementOf0(X5,xS))&(((((((((~(aInteger0(X9))|~(sdtasdt0(esk3_1(X5),X9)=sdtpldt0(X7,smndt0(sz00))))&~(aDivisorOf0(esk3_1(X5),sdtpldt0(X7,smndt0(sz00)))))&~(sdteqdtlpzmzozddtrp0(X7,sz00,esk3_1(X5))))|~(aInteger0(X7)))|aElementOf0(X7,szAzrzSzezqlpdtcmdtrp0(sz00,esk3_1(X5))))&(~(aElementOf0(X7,szAzrzSzezqlpdtcmdtrp0(sz00,esk3_1(X5))))|(((aInteger0(X7)&(aInteger0(esk4_2(X5,X7))&sdtasdt0(esk3_1(X5),esk4_2(X5,X7))=sdtpldt0(X7,smndt0(sz00))))&aDivisorOf0(esk3_1(X5),sdtpldt0(X7,smndt0(sz00))))&sdteqdtlpzmzozddtrp0(X7,sz00,esk3_1(X5)))))&(((aInteger0(esk3_1(X5))&~(esk3_1(X5)=sz00))&isPrime0(esk3_1(X5)))&aSet0(szAzrzSzezqlpdtcmdtrp0(sz00,esk3_1(X5)))))&szAzrzSzezqlpdtcmdtrp0(sz00,esk3_1(X5))=X5)|~(aElementOf0(X5,xS))))&aSet0(xS))&xS=cS2043),inference(shift_quantors,[status(thm)],[140])).
% fof(142, plain,![X5]:![X7]:![X9]:![X10]:![X11]:![X13]:(((((((((((((~(aInteger0(X13))|~(sdtasdt0(X10,X13)=sdtpldt0(X11,smndt0(sz00))))|~(aInteger0(X11)))|aElementOf0(X11,szAzrzSzezqlpdtcmdtrp0(sz00,X10)))|((~(aInteger0(X10))|X10=sz00)|~(isPrime0(X10))))|aElementOf0(X5,xS))&((((~(aDivisorOf0(X10,sdtpldt0(X11,smndt0(sz00))))|~(aInteger0(X11)))|aElementOf0(X11,szAzrzSzezqlpdtcmdtrp0(sz00,X10)))|((~(aInteger0(X10))|X10=sz00)|~(isPrime0(X10))))|aElementOf0(X5,xS)))&((((~(sdteqdtlpzmzozddtrp0(X11,sz00,X10))|~(aInteger0(X11)))|aElementOf0(X11,szAzrzSzezqlpdtcmdtrp0(sz00,X10)))|((~(aInteger0(X10))|X10=sz00)|~(isPrime0(X10))))|aElementOf0(X5,xS)))&((((((aInteger0(X11)|~(aElementOf0(X11,szAzrzSzezqlpdtcmdtrp0(sz00,X10))))|((~(aInteger0(X10))|X10=sz00)|~(isPrime0(X10))))|aElementOf0(X5,xS))&((((aInteger0(esk5_3(X5,X10,X11))|~(aElementOf0(X11,szAzrzSzezqlpdtcmdtrp0(sz00,X10))))|((~(aInteger0(X10))|X10=sz00)|~(isPrime0(X10))))|aElementOf0(X5,xS))&(((sdtasdt0(X10,esk5_3(X5,X10,X11))=sdtpldt0(X11,smndt0(sz00))|~(aElementOf0(X11,szAzrzSzezqlpdtcmdtrp0(sz00,X10))))|((~(aInteger0(X10))|X10=sz00)|~(isPrime0(X10))))|aElementOf0(X5,xS))))&(((aDivisorOf0(X10,sdtpldt0(X11,smndt0(sz00)))|~(aElementOf0(X11,szAzrzSzezqlpdtcmdtrp0(sz00,X10))))|((~(aInteger0(X10))|X10=sz00)|~(isPrime0(X10))))|aElementOf0(X5,xS)))&(((sdteqdtlpzmzozddtrp0(X11,sz00,X10)|~(aElementOf0(X11,szAzrzSzezqlpdtcmdtrp0(sz00,X10))))|((~(aInteger0(X10))|X10=sz00)|~(isPrime0(X10))))|aElementOf0(X5,xS))))&((aSet0(szAzrzSzezqlpdtcmdtrp0(sz00,X10))|((~(aInteger0(X10))|X10=sz00)|~(isPrime0(X10))))|aElementOf0(X5,xS)))&((~(szAzrzSzezqlpdtcmdtrp0(sz00,X10)=X5)|((~(aInteger0(X10))|X10=sz00)|~(isPrime0(X10))))|aElementOf0(X5,xS)))&(((((((((~(aInteger0(X9))|~(sdtasdt0(esk3_1(X5),X9)=sdtpldt0(X7,smndt0(sz00))))|~(aInteger0(X7)))|aElementOf0(X7,szAzrzSzezqlpdtcmdtrp0(sz00,esk3_1(X5))))|~(aElementOf0(X5,xS)))&(((~(aDivisorOf0(esk3_1(X5),sdtpldt0(X7,smndt0(sz00))))|~(aInteger0(X7)))|aElementOf0(X7,szAzrzSzezqlpdtcmdtrp0(sz00,esk3_1(X5))))|~(aElementOf0(X5,xS))))&(((~(sdteqdtlpzmzozddtrp0(X7,sz00,esk3_1(X5)))|~(aInteger0(X7)))|aElementOf0(X7,szAzrzSzezqlpdtcmdtrp0(sz00,esk3_1(X5))))|~(aElementOf0(X5,xS))))&(((((aInteger0(X7)|~(aElementOf0(X7,szAzrzSzezqlpdtcmdtrp0(sz00,esk3_1(X5)))))|~(aElementOf0(X5,xS)))&(((aInteger0(esk4_2(X5,X7))|~(aElementOf0(X7,szAzrzSzezqlpdtcmdtrp0(sz00,esk3_1(X5)))))|~(aElementOf0(X5,xS)))&((sdtasdt0(esk3_1(X5),esk4_2(X5,X7))=sdtpldt0(X7,smndt0(sz00))|~(aElementOf0(X7,szAzrzSzezqlpdtcmdtrp0(sz00,esk3_1(X5)))))|~(aElementOf0(X5,xS)))))&((aDivisorOf0(esk3_1(X5),sdtpldt0(X7,smndt0(sz00)))|~(aElementOf0(X7,szAzrzSzezqlpdtcmdtrp0(sz00,esk3_1(X5)))))|~(aElementOf0(X5,xS))))&((sdteqdtlpzmzozddtrp0(X7,sz00,esk3_1(X5))|~(aElementOf0(X7,szAzrzSzezqlpdtcmdtrp0(sz00,esk3_1(X5)))))|~(aElementOf0(X5,xS)))))&((((aInteger0(esk3_1(X5))|~(aElementOf0(X5,xS)))&(~(esk3_1(X5)=sz00)|~(aElementOf0(X5,xS))))&(isPrime0(esk3_1(X5))|~(aElementOf0(X5,xS))))&(aSet0(szAzrzSzezqlpdtcmdtrp0(sz00,esk3_1(X5)))|~(aElementOf0(X5,xS)))))&(szAzrzSzezqlpdtcmdtrp0(sz00,esk3_1(X5))=X5|~(aElementOf0(X5,xS)))))&aSet0(xS))&xS=cS2043),inference(distribute,[status(thm)],[141])).
% cnf(145,plain,(szAzrzSzezqlpdtcmdtrp0(sz00,esk3_1(X1))=X1|~aElementOf0(X1,xS)),inference(split_conjunct,[status(thm)],[142])).
% cnf(146,plain,(aSet0(szAzrzSzezqlpdtcmdtrp0(sz00,esk3_1(X1)))|~aElementOf0(X1,xS)),inference(split_conjunct,[status(thm)],[142])).
% cnf(147,plain,(isPrime0(esk3_1(X1))|~aElementOf0(X1,xS)),inference(split_conjunct,[status(thm)],[142])).
% cnf(150,plain,(sdteqdtlpzmzozddtrp0(X2,sz00,esk3_1(X1))|~aElementOf0(X1,xS)|~aElementOf0(X2,szAzrzSzezqlpdtcmdtrp0(sz00,esk3_1(X1)))),inference(split_conjunct,[status(thm)],[142])).
% cnf(151,plain,(aDivisorOf0(esk3_1(X1),sdtpldt0(X2,smndt0(sz00)))|~aElementOf0(X1,xS)|~aElementOf0(X2,szAzrzSzezqlpdtcmdtrp0(sz00,esk3_1(X1)))),inference(split_conjunct,[status(thm)],[142])).
% cnf(154,plain,(aInteger0(X2)|~aElementOf0(X1,xS)|~aElementOf0(X2,szAzrzSzezqlpdtcmdtrp0(sz00,esk3_1(X1)))),inference(split_conjunct,[status(thm)],[142])).
% cnf(155,plain,(aElementOf0(X2,szAzrzSzezqlpdtcmdtrp0(sz00,esk3_1(X1)))|~aElementOf0(X1,xS)|~aInteger0(X2)|~sdteqdtlpzmzozddtrp0(X2,sz00,esk3_1(X1))),inference(split_conjunct,[status(thm)],[142])).
% cnf(158,plain,(aElementOf0(X1,xS)|X2=sz00|~isPrime0(X2)|~aInteger0(X2)|szAzrzSzezqlpdtcmdtrp0(sz00,X2)!=X1),inference(split_conjunct,[status(thm)],[142])).
% cnf(166,plain,(aElementOf0(X1,xS)|X2=sz00|aElementOf0(X3,szAzrzSzezqlpdtcmdtrp0(sz00,X2))|~isPrime0(X2)|~aInteger0(X2)|~aInteger0(X3)|~aDivisorOf0(X2,sdtpldt0(X3,smndt0(sz00)))),inference(split_conjunct,[status(thm)],[142])).
% cnf(168,plain,(aInteger0(xn)),inference(split_conjunct,[status(thm)],[22])).
% fof(185, plain,![X1]:(~(aSet0(X1))|![X2]:((~(aSubsetOf0(X2,X1))|(aSet0(X2)&![X3]:(~(aElementOf0(X3,X2))|aElementOf0(X3,X1))))&((~(aSet0(X2))|?[X3]:(aElementOf0(X3,X2)&~(aElementOf0(X3,X1))))|aSubsetOf0(X2,X1)))),inference(fof_nnf,[status(thm)],[26])).
% fof(186, plain,![X4]:(~(aSet0(X4))|![X5]:((~(aSubsetOf0(X5,X4))|(aSet0(X5)&![X6]:(~(aElementOf0(X6,X5))|aElementOf0(X6,X4))))&((~(aSet0(X5))|?[X7]:(aElementOf0(X7,X5)&~(aElementOf0(X7,X4))))|aSubsetOf0(X5,X4)))),inference(variable_rename,[status(thm)],[185])).
% fof(187, plain,![X4]:(~(aSet0(X4))|![X5]:((~(aSubsetOf0(X5,X4))|(aSet0(X5)&![X6]:(~(aElementOf0(X6,X5))|aElementOf0(X6,X4))))&((~(aSet0(X5))|(aElementOf0(esk7_2(X4,X5),X5)&~(aElementOf0(esk7_2(X4,X5),X4))))|aSubsetOf0(X5,X4)))),inference(skolemize,[status(esa)],[186])).
% fof(188, plain,![X4]:![X5]:![X6]:(((((~(aElementOf0(X6,X5))|aElementOf0(X6,X4))&aSet0(X5))|~(aSubsetOf0(X5,X4)))&((~(aSet0(X5))|(aElementOf0(esk7_2(X4,X5),X5)&~(aElementOf0(esk7_2(X4,X5),X4))))|aSubsetOf0(X5,X4)))|~(aSet0(X4))),inference(shift_quantors,[status(thm)],[187])).
% fof(189, plain,![X4]:![X5]:![X6]:(((((~(aElementOf0(X6,X5))|aElementOf0(X6,X4))|~(aSubsetOf0(X5,X4)))|~(aSet0(X4)))&((aSet0(X5)|~(aSubsetOf0(X5,X4)))|~(aSet0(X4))))&((((aElementOf0(esk7_2(X4,X5),X5)|~(aSet0(X5)))|aSubsetOf0(X5,X4))|~(aSet0(X4)))&(((~(aElementOf0(esk7_2(X4,X5),X4))|~(aSet0(X5)))|aSubsetOf0(X5,X4))|~(aSet0(X4))))),inference(distribute,[status(thm)],[188])).
% cnf(190,plain,(aSubsetOf0(X2,X1)|~aSet0(X1)|~aSet0(X2)|~aElementOf0(esk7_2(X1,X2),X1)),inference(split_conjunct,[status(thm)],[189])).
% cnf(191,plain,(aSubsetOf0(X2,X1)|aElementOf0(esk7_2(X1,X2),X2)|~aSet0(X1)|~aSet0(X2)),inference(split_conjunct,[status(thm)],[189])).
% fof(278, plain,![X1]:(~(aSubsetOf0(X1,cS1395))|![X2]:((~(X2=stldt0(X1))|(aSet0(X2)&![X3]:((~(aElementOf0(X3,X2))|(aInteger0(X3)&~(aElementOf0(X3,X1))))&((~(aInteger0(X3))|aElementOf0(X3,X1))|aElementOf0(X3,X2)))))&((~(aSet0(X2))|?[X3]:((~(aElementOf0(X3,X2))|(~(aInteger0(X3))|aElementOf0(X3,X1)))&(aElementOf0(X3,X2)|(aInteger0(X3)&~(aElementOf0(X3,X1))))))|X2=stldt0(X1)))),inference(fof_nnf,[status(thm)],[49])).
% fof(279, plain,![X4]:(~(aSubsetOf0(X4,cS1395))|![X5]:((~(X5=stldt0(X4))|(aSet0(X5)&![X6]:((~(aElementOf0(X6,X5))|(aInteger0(X6)&~(aElementOf0(X6,X4))))&((~(aInteger0(X6))|aElementOf0(X6,X4))|aElementOf0(X6,X5)))))&((~(aSet0(X5))|?[X7]:((~(aElementOf0(X7,X5))|(~(aInteger0(X7))|aElementOf0(X7,X4)))&(aElementOf0(X7,X5)|(aInteger0(X7)&~(aElementOf0(X7,X4))))))|X5=stldt0(X4)))),inference(variable_rename,[status(thm)],[278])).
% fof(280, plain,![X4]:(~(aSubsetOf0(X4,cS1395))|![X5]:((~(X5=stldt0(X4))|(aSet0(X5)&![X6]:((~(aElementOf0(X6,X5))|(aInteger0(X6)&~(aElementOf0(X6,X4))))&((~(aInteger0(X6))|aElementOf0(X6,X4))|aElementOf0(X6,X5)))))&((~(aSet0(X5))|((~(aElementOf0(esk17_2(X4,X5),X5))|(~(aInteger0(esk17_2(X4,X5)))|aElementOf0(esk17_2(X4,X5),X4)))&(aElementOf0(esk17_2(X4,X5),X5)|(aInteger0(esk17_2(X4,X5))&~(aElementOf0(esk17_2(X4,X5),X4))))))|X5=stldt0(X4)))),inference(skolemize,[status(esa)],[279])).
% fof(281, plain,![X4]:![X5]:![X6]:((((((~(aElementOf0(X6,X5))|(aInteger0(X6)&~(aElementOf0(X6,X4))))&((~(aInteger0(X6))|aElementOf0(X6,X4))|aElementOf0(X6,X5)))&aSet0(X5))|~(X5=stldt0(X4)))&((~(aSet0(X5))|((~(aElementOf0(esk17_2(X4,X5),X5))|(~(aInteger0(esk17_2(X4,X5)))|aElementOf0(esk17_2(X4,X5),X4)))&(aElementOf0(esk17_2(X4,X5),X5)|(aInteger0(esk17_2(X4,X5))&~(aElementOf0(esk17_2(X4,X5),X4))))))|X5=stldt0(X4)))|~(aSubsetOf0(X4,cS1395))),inference(shift_quantors,[status(thm)],[280])).
% fof(282, plain,![X4]:![X5]:![X6]:(((((((aInteger0(X6)|~(aElementOf0(X6,X5)))|~(X5=stldt0(X4)))|~(aSubsetOf0(X4,cS1395)))&(((~(aElementOf0(X6,X4))|~(aElementOf0(X6,X5)))|~(X5=stldt0(X4)))|~(aSubsetOf0(X4,cS1395))))&((((~(aInteger0(X6))|aElementOf0(X6,X4))|aElementOf0(X6,X5))|~(X5=stldt0(X4)))|~(aSubsetOf0(X4,cS1395))))&((aSet0(X5)|~(X5=stldt0(X4)))|~(aSubsetOf0(X4,cS1395))))&(((((~(aElementOf0(esk17_2(X4,X5),X5))|(~(aInteger0(esk17_2(X4,X5)))|aElementOf0(esk17_2(X4,X5),X4)))|~(aSet0(X5)))|X5=stldt0(X4))|~(aSubsetOf0(X4,cS1395)))&(((((aInteger0(esk17_2(X4,X5))|aElementOf0(esk17_2(X4,X5),X5))|~(aSet0(X5)))|X5=stldt0(X4))|~(aSubsetOf0(X4,cS1395)))&((((~(aElementOf0(esk17_2(X4,X5),X4))|aElementOf0(esk17_2(X4,X5),X5))|~(aSet0(X5)))|X5=stldt0(X4))|~(aSubsetOf0(X4,cS1395)))))),inference(distribute,[status(thm)],[281])).
% cnf(287,plain,(aElementOf0(X3,X2)|aElementOf0(X3,X1)|~aSubsetOf0(X1,cS1395)|X2!=stldt0(X1)|~aInteger0(X3)),inference(split_conjunct,[status(thm)],[282])).
% fof(311, negated_conjecture,(((?[X1]:(aElementOf0(X1,xS)&aElementOf0(xn,X1))&aElementOf0(xn,sbsmnsldt0(xS)))&![X1]:((((~(aInteger0(X1))|X1=sz00)|![X2]:(~(aInteger0(X2))|~(sdtasdt0(X1,X2)=xn)))&~(aDivisorOf0(X1,xn)))|~(isPrime0(X1))))|(?[X1]:((((aInteger0(X1)&~(X1=sz00))&?[X2]:(aInteger0(X2)&sdtasdt0(X1,X2)=xn))&aDivisorOf0(X1,xn))&isPrime0(X1))&(![X1]:(~(aElementOf0(X1,xS))|~(aElementOf0(xn,X1)))&~(aElementOf0(xn,sbsmnsldt0(xS)))))),inference(fof_nnf,[status(thm)],[45])).
% fof(312, negated_conjecture,(((?[X3]:(aElementOf0(X3,xS)&aElementOf0(xn,X3))&aElementOf0(xn,sbsmnsldt0(xS)))&![X4]:((((~(aInteger0(X4))|X4=sz00)|![X5]:(~(aInteger0(X5))|~(sdtasdt0(X4,X5)=xn)))&~(aDivisorOf0(X4,xn)))|~(isPrime0(X4))))|(?[X6]:((((aInteger0(X6)&~(X6=sz00))&?[X7]:(aInteger0(X7)&sdtasdt0(X6,X7)=xn))&aDivisorOf0(X6,xn))&isPrime0(X6))&(![X8]:(~(aElementOf0(X8,xS))|~(aElementOf0(xn,X8)))&~(aElementOf0(xn,sbsmnsldt0(xS)))))),inference(variable_rename,[status(thm)],[311])).
% fof(313, negated_conjecture,((((aElementOf0(esk19_0,xS)&aElementOf0(xn,esk19_0))&aElementOf0(xn,sbsmnsldt0(xS)))&![X4]:((((~(aInteger0(X4))|X4=sz00)|![X5]:(~(aInteger0(X5))|~(sdtasdt0(X4,X5)=xn)))&~(aDivisorOf0(X4,xn)))|~(isPrime0(X4))))|(((((aInteger0(esk20_0)&~(esk20_0=sz00))&(aInteger0(esk21_0)&sdtasdt0(esk20_0,esk21_0)=xn))&aDivisorOf0(esk20_0,xn))&isPrime0(esk20_0))&(![X8]:(~(aElementOf0(X8,xS))|~(aElementOf0(xn,X8)))&~(aElementOf0(xn,sbsmnsldt0(xS)))))),inference(skolemize,[status(esa)],[312])).
% fof(314, negated_conjecture,![X4]:![X5]:![X8]:((((~(aElementOf0(X8,xS))|~(aElementOf0(xn,X8)))&~(aElementOf0(xn,sbsmnsldt0(xS))))&((((aInteger0(esk20_0)&~(esk20_0=sz00))&(aInteger0(esk21_0)&sdtasdt0(esk20_0,esk21_0)=xn))&aDivisorOf0(esk20_0,xn))&isPrime0(esk20_0)))|(((((~(aInteger0(X5))|~(sdtasdt0(X4,X5)=xn))|(~(aInteger0(X4))|X4=sz00))&~(aDivisorOf0(X4,xn)))|~(isPrime0(X4)))&((aElementOf0(esk19_0,xS)&aElementOf0(xn,esk19_0))&aElementOf0(xn,sbsmnsldt0(xS))))),inference(shift_quantors,[status(thm)],[313])).
% fof(315, negated_conjecture,![X4]:![X5]:![X8]:((((((((~(aInteger0(X5))|~(sdtasdt0(X4,X5)=xn))|(~(aInteger0(X4))|X4=sz00))|~(isPrime0(X4)))|(~(aElementOf0(X8,xS))|~(aElementOf0(xn,X8))))&((~(aDivisorOf0(X4,xn))|~(isPrime0(X4)))|(~(aElementOf0(X8,xS))|~(aElementOf0(xn,X8)))))&(((aElementOf0(esk19_0,xS)|(~(aElementOf0(X8,xS))|~(aElementOf0(xn,X8))))&(aElementOf0(xn,esk19_0)|(~(aElementOf0(X8,xS))|~(aElementOf0(xn,X8)))))&(aElementOf0(xn,sbsmnsldt0(xS))|(~(aElementOf0(X8,xS))|~(aElementOf0(xn,X8))))))&((((((~(aInteger0(X5))|~(sdtasdt0(X4,X5)=xn))|(~(aInteger0(X4))|X4=sz00))|~(isPrime0(X4)))|~(aElementOf0(xn,sbsmnsldt0(xS))))&((~(aDivisorOf0(X4,xn))|~(isPrime0(X4)))|~(aElementOf0(xn,sbsmnsldt0(xS)))))&(((aElementOf0(esk19_0,xS)|~(aElementOf0(xn,sbsmnsldt0(xS))))&(aElementOf0(xn,esk19_0)|~(aElementOf0(xn,sbsmnsldt0(xS)))))&(aElementOf0(xn,sbsmnsldt0(xS))|~(aElementOf0(xn,sbsmnsldt0(xS)))))))&((((((((((~(aInteger0(X5))|~(sdtasdt0(X4,X5)=xn))|(~(aInteger0(X4))|X4=sz00))|~(isPrime0(X4)))|aInteger0(esk20_0))&((~(aDivisorOf0(X4,xn))|~(isPrime0(X4)))|aInteger0(esk20_0)))&(((aElementOf0(esk19_0,xS)|aInteger0(esk20_0))&(aElementOf0(xn,esk19_0)|aInteger0(esk20_0)))&(aElementOf0(xn,sbsmnsldt0(xS))|aInteger0(esk20_0))))&((((((~(aInteger0(X5))|~(sdtasdt0(X4,X5)=xn))|(~(aInteger0(X4))|X4=sz00))|~(isPrime0(X4)))|~(esk20_0=sz00))&((~(aDivisorOf0(X4,xn))|~(isPrime0(X4)))|~(esk20_0=sz00)))&(((aElementOf0(esk19_0,xS)|~(esk20_0=sz00))&(aElementOf0(xn,esk19_0)|~(esk20_0=sz00)))&(aElementOf0(xn,sbsmnsldt0(xS))|~(esk20_0=sz00)))))&(((((((~(aInteger0(X5))|~(sdtasdt0(X4,X5)=xn))|(~(aInteger0(X4))|X4=sz00))|~(isPrime0(X4)))|aInteger0(esk21_0))&((~(aDivisorOf0(X4,xn))|~(isPrime0(X4)))|aInteger0(esk21_0)))&(((aElementOf0(esk19_0,xS)|aInteger0(esk21_0))&(aElementOf0(xn,esk19_0)|aInteger0(esk21_0)))&(aElementOf0(xn,sbsmnsldt0(xS))|aInteger0(esk21_0))))&((((((~(aInteger0(X5))|~(sdtasdt0(X4,X5)=xn))|(~(aInteger0(X4))|X4=sz00))|~(isPrime0(X4)))|sdtasdt0(esk20_0,esk21_0)=xn)&((~(aDivisorOf0(X4,xn))|~(isPrime0(X4)))|sdtasdt0(esk20_0,esk21_0)=xn))&(((aElementOf0(esk19_0,xS)|sdtasdt0(esk20_0,esk21_0)=xn)&(aElementOf0(xn,esk19_0)|sdtasdt0(esk20_0,esk21_0)=xn))&(aElementOf0(xn,sbsmnsldt0(xS))|sdtasdt0(esk20_0,esk21_0)=xn)))))&((((((~(aInteger0(X5))|~(sdtasdt0(X4,X5)=xn))|(~(aInteger0(X4))|X4=sz00))|~(isPrime0(X4)))|aDivisorOf0(esk20_0,xn))&((~(aDivisorOf0(X4,xn))|~(isPrime0(X4)))|aDivisorOf0(esk20_0,xn)))&(((aElementOf0(esk19_0,xS)|aDivisorOf0(esk20_0,xn))&(aElementOf0(xn,esk19_0)|aDivisorOf0(esk20_0,xn)))&(aElementOf0(xn,sbsmnsldt0(xS))|aDivisorOf0(esk20_0,xn)))))&((((((~(aInteger0(X5))|~(sdtasdt0(X4,X5)=xn))|(~(aInteger0(X4))|X4=sz00))|~(isPrime0(X4)))|isPrime0(esk20_0))&((~(aDivisorOf0(X4,xn))|~(isPrime0(X4)))|isPrime0(esk20_0)))&(((aElementOf0(esk19_0,xS)|isPrime0(esk20_0))&(aElementOf0(xn,esk19_0)|isPrime0(esk20_0)))&(aElementOf0(xn,sbsmnsldt0(xS))|isPrime0(esk20_0)))))),inference(distribute,[status(thm)],[314])).
% cnf(317,negated_conjecture,(isPrime0(esk20_0)|aElementOf0(xn,esk19_0)),inference(split_conjunct,[status(thm)],[315])).
% cnf(318,negated_conjecture,(isPrime0(esk20_0)|aElementOf0(esk19_0,xS)),inference(split_conjunct,[status(thm)],[315])).
% cnf(322,negated_conjecture,(aDivisorOf0(esk20_0,xn)|aElementOf0(xn,esk19_0)),inference(split_conjunct,[status(thm)],[315])).
% cnf(323,negated_conjecture,(aDivisorOf0(esk20_0,xn)|aElementOf0(esk19_0,xS)),inference(split_conjunct,[status(thm)],[315])).
% cnf(337,negated_conjecture,(aElementOf0(xn,esk19_0)|esk20_0!=sz00),inference(split_conjunct,[status(thm)],[315])).
% cnf(338,negated_conjecture,(aElementOf0(esk19_0,xS)|esk20_0!=sz00),inference(split_conjunct,[status(thm)],[315])).
% cnf(342,negated_conjecture,(aInteger0(esk20_0)|aElementOf0(xn,esk19_0)),inference(split_conjunct,[status(thm)],[315])).
% cnf(343,negated_conjecture,(aInteger0(esk20_0)|aElementOf0(esk19_0,xS)),inference(split_conjunct,[status(thm)],[315])).
% cnf(352,negated_conjecture,(aElementOf0(xn,esk19_0)|~aElementOf0(xn,X1)|~aElementOf0(X1,xS)),inference(split_conjunct,[status(thm)],[315])).
% cnf(353,negated_conjecture,(aElementOf0(esk19_0,xS)|~aElementOf0(xn,X1)|~aElementOf0(X1,xS)),inference(split_conjunct,[status(thm)],[315])).
% cnf(354,negated_conjecture,(~aElementOf0(xn,X1)|~aElementOf0(X1,xS)|~isPrime0(X2)|~aDivisorOf0(X2,xn)),inference(split_conjunct,[status(thm)],[315])).
% cnf(452,plain,(sz00=smndt0(sz00)|~aInteger0(smndt0(sz00))|~aInteger0(sz00)),inference(spm,[status(thm)],[71,77,theory(equality)])).
% cnf(454,plain,(sz00=smndt0(sz00)|~aInteger0(smndt0(sz00))|$false),inference(rw,[status(thm)],[452,52,theory(equality)])).
% cnf(455,plain,(sz00=smndt0(sz00)|~aInteger0(smndt0(sz00))),inference(cn,[status(thm)],[454,theory(equality)])).
% fof(465, plain,(~(epred1_0)<=>![X2]:(~(isPrime0(X2))|~(aDivisorOf0(X2,xn)))),introduced(definition),['split']).
% cnf(466,plain,(epred1_0|~aDivisorOf0(X2,xn)|~isPrime0(X2)),inference(split_equiv,[status(thm)],[465])).
% fof(467, plain,(~(epred2_0)<=>![X1]:(~(aElementOf0(xn,X1))|~(aElementOf0(X1,xS)))),introduced(definition),['split']).
% cnf(468,plain,(epred2_0|~aElementOf0(xn,X1)|~aElementOf0(X1,xS)),inference(split_equiv,[status(thm)],[467])).
% cnf(469,negated_conjecture,(~epred2_0|~epred1_0),inference(apply_def,[status(esa)],[inference(apply_def,[status(esa)],[354,465,theory(equality)]),467,theory(equality)]),['split']).
% cnf(602,plain,(sz00=X1|aElementOf0(szAzrzSzezqlpdtcmdtrp0(sz00,X1),xS)|~isPrime0(X1)|~aInteger0(X1)),inference(er,[status(thm)],[158,theory(equality)])).
% cnf(712,plain,(aElementOf0(X1,X2)|aElementOf0(X1,stldt0(X2))|~aSubsetOf0(X2,cS1395)|~aInteger0(X1)),inference(er,[status(thm)],[287,theory(equality)])).
% cnf(750,plain,(aSubsetOf0(X1,X1)|~aSet0(X1)),inference(spm,[status(thm)],[190,191,theory(equality)])).
% cnf(1094,negated_conjecture,(epred1_0|aElementOf0(xn,esk19_0)|~isPrime0(esk20_0)),inference(spm,[status(thm)],[466,322,theory(equality)])).
% cnf(1095,negated_conjecture,(epred1_0|aElementOf0(esk19_0,xS)|~isPrime0(esk20_0)),inference(spm,[status(thm)],[466,323,theory(equality)])).
% cnf(1101,negated_conjecture,(epred1_0|aElementOf0(xn,esk19_0)),inference(csr,[status(thm)],[1094,317])).
% cnf(1102,negated_conjecture,(epred1_0|aElementOf0(esk19_0,xS)),inference(csr,[status(thm)],[1095,318])).
% cnf(1104,negated_conjecture,(isPrime0(esk3_1(esk19_0))|epred1_0),inference(spm,[status(thm)],[147,1102,theory(equality)])).
% cnf(1105,negated_conjecture,(szAzrzSzezqlpdtcmdtrp0(sz00,esk3_1(esk19_0))=esk19_0|epred1_0),inference(spm,[status(thm)],[145,1102,theory(equality)])).
% cnf(1114,negated_conjecture,(sdteqdtlpzmzozddtrp0(X1,sz00,esk3_1(esk19_0))|epred1_0|~aElementOf0(X1,szAzrzSzezqlpdtcmdtrp0(sz00,esk3_1(esk19_0)))),inference(spm,[status(thm)],[150,1102,theory(equality)])).
% cnf(1116,negated_conjecture,(aElementOf0(X1,szAzrzSzezqlpdtcmdtrp0(sz00,esk3_1(esk19_0)))|epred1_0|~sdteqdtlpzmzozddtrp0(X1,sz00,esk3_1(esk19_0))|~aInteger0(X1)),inference(spm,[status(thm)],[155,1102,theory(equality)])).
% cnf(1316,plain,(smndt0(sz00)=sz00|~aInteger0(sz00)),inference(spm,[status(thm)],[455,55,theory(equality)])).
% cnf(1317,plain,(smndt0(sz00)=sz00|$false),inference(rw,[status(thm)],[1316,52,theory(equality)])).
% cnf(1318,plain,(smndt0(sz00)=sz00),inference(cn,[status(thm)],[1317,theory(equality)])).
% cnf(1334,plain,(aDivisorOf0(esk3_1(X1),sdtpldt0(X2,sz00))|~aElementOf0(X2,szAzrzSzezqlpdtcmdtrp0(sz00,esk3_1(X1)))|~aElementOf0(X1,xS)),inference(rw,[status(thm)],[151,1318,theory(equality)])).
% cnf(1335,plain,(sz00=X1|aElementOf0(X2,szAzrzSzezqlpdtcmdtrp0(sz00,X1))|aElementOf0(X3,xS)|~isPrime0(X1)|~aDivisorOf0(X1,sdtpldt0(X2,sz00))|~aInteger0(X2)|~aInteger0(X1)),inference(rw,[status(thm)],[166,1318,theory(equality)])).
% cnf(1350,negated_conjecture,(aDivisorOf0(esk3_1(esk19_0),sdtpldt0(X1,sz00))|epred1_0|~aElementOf0(X1,szAzrzSzezqlpdtcmdtrp0(sz00,esk3_1(esk19_0)))),inference(spm,[status(thm)],[1334,1102,theory(equality)])).
% cnf(1447,plain,(sz00=X1|aElementOf0(X2,szAzrzSzezqlpdtcmdtrp0(sz00,X1))|aElementOf0(X3,xS)|~isPrime0(X1)|~aDivisorOf0(X1,X2)|~aInteger0(X2)|~aInteger0(X1)),inference(spm,[status(thm)],[1335,72,theory(equality)])).
% cnf(52770,negated_conjecture,(epred1_0|sdteqdtlpzmzozddtrp0(X1,sz00,esk3_1(esk19_0))|~aElementOf0(X1,esk19_0)),inference(spm,[status(thm)],[1114,1105,theory(equality)])).
% cnf(65016,plain,(sz00=X1|aElementOf0(X2,szAzrzSzezqlpdtcmdtrp0(sz00,X1))|aElementOf0(X3,xS)|~isPrime0(X1)|~aDivisorOf0(X1,X2)|~aInteger0(X2)),inference(csr,[status(thm)],[1447,105])).
% cnf(65017,plain,(aElementOf0(X2,szAzrzSzezqlpdtcmdtrp0(sz00,X1))|aElementOf0(X3,xS)|~isPrime0(X1)|~aDivisorOf0(X1,X2)|~aInteger0(X2)),inference(csr,[status(thm)],[65016,104])).
% cnf(65028,negated_conjecture,(aElementOf0(xn,szAzrzSzezqlpdtcmdtrp0(sz00,esk20_0))|aElementOf0(X1,xS)|aElementOf0(xn,esk19_0)|~isPrime0(esk20_0)|~aInteger0(xn)),inference(spm,[status(thm)],[65017,322,theory(equality)])).
% cnf(65100,negated_conjecture,(aElementOf0(xn,szAzrzSzezqlpdtcmdtrp0(sz00,esk20_0))|aElementOf0(X1,xS)|aElementOf0(xn,esk19_0)|~isPrime0(esk20_0)|$false),inference(rw,[status(thm)],[65028,168,theory(equality)])).
% cnf(65101,negated_conjecture,(aElementOf0(xn,szAzrzSzezqlpdtcmdtrp0(sz00,esk20_0))|aElementOf0(X1,xS)|aElementOf0(xn,esk19_0)|~isPrime0(esk20_0)),inference(cn,[status(thm)],[65100,theory(equality)])).
% cnf(65261,negated_conjecture,(epred1_0|sdteqdtlpzmzozddtrp0(xn,sz00,esk3_1(esk19_0))),inference(spm,[status(thm)],[52770,1101,theory(equality)])).
% cnf(65277,negated_conjecture,(epred1_0|aElementOf0(xn,szAzrzSzezqlpdtcmdtrp0(sz00,esk3_1(esk19_0)))|~aInteger0(xn)),inference(spm,[status(thm)],[1116,65261,theory(equality)])).
% cnf(65297,negated_conjecture,(epred1_0|aElementOf0(xn,szAzrzSzezqlpdtcmdtrp0(sz00,esk3_1(esk19_0)))|$false),inference(rw,[status(thm)],[65277,168,theory(equality)])).
% cnf(65298,negated_conjecture,(epred1_0|aElementOf0(xn,szAzrzSzezqlpdtcmdtrp0(sz00,esk3_1(esk19_0)))),inference(cn,[status(thm)],[65297,theory(equality)])).
% cnf(65476,negated_conjecture,(epred1_0|aDivisorOf0(esk3_1(esk19_0),sdtpldt0(xn,sz00))),inference(spm,[status(thm)],[1350,65298,theory(equality)])).
% cnf(65508,negated_conjecture,(epred1_0|aDivisorOf0(esk3_1(esk19_0),xn)|~aInteger0(xn)),inference(spm,[status(thm)],[65476,72,theory(equality)])).
% cnf(65524,negated_conjecture,(epred1_0|aDivisorOf0(esk3_1(esk19_0),xn)|$false),inference(rw,[status(thm)],[65508,168,theory(equality)])).
% cnf(65525,negated_conjecture,(epred1_0|aDivisorOf0(esk3_1(esk19_0),xn)),inference(cn,[status(thm)],[65524,theory(equality)])).
% cnf(65583,negated_conjecture,(epred1_0|~isPrime0(esk3_1(esk19_0))),inference(spm,[status(thm)],[466,65525,theory(equality)])).
% cnf(65592,negated_conjecture,(epred1_0),inference(csr,[status(thm)],[65583,1104])).
% cnf(65771,negated_conjecture,(~epred2_0|$false),inference(rw,[status(thm)],[469,65592,theory(equality)])).
% cnf(65772,negated_conjecture,(~epred2_0),inference(cn,[status(thm)],[65771,theory(equality)])).
% cnf(65840,negated_conjecture,(aElementOf0(xn,szAzrzSzezqlpdtcmdtrp0(sz00,esk20_0))|aElementOf0(xn,esk19_0)|aElementOf0(X1,xS)),inference(csr,[status(thm)],[65101,317])).
% cnf(65867,negated_conjecture,(epred2_0|aElementOf0(xn,esk19_0)|aElementOf0(X1,xS)|~aElementOf0(szAzrzSzezqlpdtcmdtrp0(sz00,esk20_0),xS)),inference(spm,[status(thm)],[468,65840,theory(equality)])).
% cnf(65882,negated_conjecture,(aElementOf0(xn,esk19_0)|aElementOf0(X1,xS)|~aElementOf0(szAzrzSzezqlpdtcmdtrp0(sz00,esk20_0),xS)),inference(sr,[status(thm)],[65867,65772,theory(equality)])).
% cnf(66007,negated_conjecture,(aElementOf0(xn,esk19_0)|aElementOf0(X1,xS)|sz00=esk20_0|~isPrime0(esk20_0)|~aInteger0(esk20_0)),inference(spm,[status(thm)],[65882,602,theory(equality)])).
% cnf(66008,negated_conjecture,(esk20_0=sz00|aElementOf0(xn,esk19_0)|aElementOf0(X1,xS)|~isPrime0(esk20_0)),inference(csr,[status(thm)],[66007,342])).
% cnf(66009,negated_conjecture,(esk20_0=sz00|aElementOf0(xn,esk19_0)|aElementOf0(X1,xS)),inference(csr,[status(thm)],[66008,317])).
% cnf(66010,negated_conjecture,(aElementOf0(xn,esk19_0)|aElementOf0(X1,xS)),inference(csr,[status(thm)],[66009,337])).
% cnf(66019,negated_conjecture,(szAzrzSzezqlpdtcmdtrp0(sz00,esk3_1(X1))=X1|aElementOf0(xn,esk19_0)),inference(spm,[status(thm)],[145,66010,theory(equality)])).
% cnf(66020,negated_conjecture,(aElementOf0(xn,esk19_0)|~aElementOf0(xn,X1)),inference(spm,[status(thm)],[352,66010,theory(equality)])).
% cnf(66023,negated_conjecture,(aSet0(szAzrzSzezqlpdtcmdtrp0(sz00,esk3_1(X1)))|aElementOf0(xn,esk19_0)),inference(spm,[status(thm)],[146,66010,theory(equality)])).
% cnf(66027,negated_conjecture,(aInteger0(X1)|aElementOf0(xn,esk19_0)|~aElementOf0(X1,szAzrzSzezqlpdtcmdtrp0(sz00,esk3_1(X2)))),inference(spm,[status(thm)],[154,66010,theory(equality)])).
% cnf(66246,negated_conjecture,(aElementOf0(xn,esk19_0)|aSet0(X1)),inference(spm,[status(thm)],[66023,66019,theory(equality)])).
% cnf(66281,negated_conjecture,(aSubsetOf0(X1,X1)|aElementOf0(xn,esk19_0)),inference(spm,[status(thm)],[750,66246,theory(equality)])).
% cnf(66312,negated_conjecture,(aElementOf0(X1,stldt0(cS1395))|aElementOf0(X1,cS1395)|aElementOf0(xn,esk19_0)|~aInteger0(X1)),inference(spm,[status(thm)],[712,66281,theory(equality)])).
% cnf(66597,negated_conjecture,(aElementOf0(xn,esk19_0)|aInteger0(X1)|~aElementOf0(X1,X2)),inference(spm,[status(thm)],[66027,66019,theory(equality)])).
% cnf(66682,negated_conjecture,(aElementOf0(xn,esk19_0)|aInteger0(X1)),inference(spm,[status(thm)],[66597,66010,theory(equality)])).
% cnf(66748,negated_conjecture,(aElementOf0(X1,stldt0(cS1395))|aElementOf0(xn,esk19_0)|aElementOf0(X1,cS1395)),inference(csr,[status(thm)],[66312,66682])).
% cnf(66750,negated_conjecture,(aElementOf0(xn,esk19_0)|aElementOf0(xn,cS1395)),inference(spm,[status(thm)],[66020,66748,theory(equality)])).
% cnf(66755,negated_conjecture,(aElementOf0(xn,esk19_0)),inference(csr,[status(thm)],[66750,66020])).
% cnf(66757,negated_conjecture,(epred2_0|~aElementOf0(esk19_0,xS)),inference(spm,[status(thm)],[468,66755,theory(equality)])).
% cnf(66832,negated_conjecture,(~aElementOf0(esk19_0,xS)),inference(sr,[status(thm)],[66757,65772,theory(equality)])).
% cnf(66833,negated_conjecture,(aInteger0(esk20_0)),inference(sr,[status(thm)],[343,66832,theory(equality)])).
% cnf(66835,negated_conjecture,(isPrime0(esk20_0)),inference(sr,[status(thm)],[318,66832,theory(equality)])).
% cnf(66836,negated_conjecture,(aDivisorOf0(esk20_0,xn)),inference(sr,[status(thm)],[323,66832,theory(equality)])).
% cnf(66950,negated_conjecture,(aElementOf0(xn,szAzrzSzezqlpdtcmdtrp0(sz00,esk20_0))|aElementOf0(X1,xS)|~isPrime0(esk20_0)|~aInteger0(xn)),inference(spm,[status(thm)],[65017,66836,theory(equality)])).
% cnf(66968,negated_conjecture,(aElementOf0(xn,szAzrzSzezqlpdtcmdtrp0(sz00,esk20_0))|aElementOf0(X1,xS)|$false|~aInteger0(xn)),inference(rw,[status(thm)],[66950,66835,theory(equality)])).
% cnf(66969,negated_conjecture,(aElementOf0(xn,szAzrzSzezqlpdtcmdtrp0(sz00,esk20_0))|aElementOf0(X1,xS)|$false|$false),inference(rw,[status(thm)],[66968,168,theory(equality)])).
% cnf(66970,negated_conjecture,(aElementOf0(xn,szAzrzSzezqlpdtcmdtrp0(sz00,esk20_0))|aElementOf0(X1,xS)),inference(cn,[status(thm)],[66969,theory(equality)])).
% cnf(70275,negated_conjecture,(aElementOf0(esk19_0,xS)|aElementOf0(xn,szAzrzSzezqlpdtcmdtrp0(sz00,esk20_0))|~aElementOf0(xn,X1)),inference(spm,[status(thm)],[353,66970,theory(equality)])).
% cnf(70303,negated_conjecture,(aElementOf0(xn,szAzrzSzezqlpdtcmdtrp0(sz00,esk20_0))|~aElementOf0(xn,X1)),inference(sr,[status(thm)],[70275,66832,theory(equality)])).
% cnf(83154,negated_conjecture,(aElementOf0(xn,szAzrzSzezqlpdtcmdtrp0(sz00,esk20_0))),inference(spm,[status(thm)],[70303,66755,theory(equality)])).
% cnf(83165,negated_conjecture,(epred2_0|~aElementOf0(szAzrzSzezqlpdtcmdtrp0(sz00,esk20_0),xS)),inference(spm,[status(thm)],[468,83154,theory(equality)])).
% cnf(83196,negated_conjecture,(~aElementOf0(szAzrzSzezqlpdtcmdtrp0(sz00,esk20_0),xS)),inference(sr,[status(thm)],[83165,65772,theory(equality)])).
% cnf(83290,negated_conjecture,(sz00=esk20_0|~isPrime0(esk20_0)|~aInteger0(esk20_0)),inference(spm,[status(thm)],[83196,602,theory(equality)])).
% cnf(83291,negated_conjecture,(sz00=esk20_0|$false|~aInteger0(esk20_0)),inference(rw,[status(thm)],[83290,66835,theory(equality)])).
% cnf(83292,negated_conjecture,(sz00=esk20_0|$false|$false),inference(rw,[status(thm)],[83291,66833,theory(equality)])).
% cnf(83293,negated_conjecture,(sz00=esk20_0),inference(cn,[status(thm)],[83292,theory(equality)])).
% cnf(83439,negated_conjecture,(aElementOf0(esk19_0,xS)|$false),inference(rw,[status(thm)],[338,83293,theory(equality)])).
% cnf(83440,negated_conjecture,(aElementOf0(esk19_0,xS)),inference(cn,[status(thm)],[83439,theory(equality)])).
% cnf(83441,negated_conjecture,($false),inference(sr,[status(thm)],[83440,66832,theory(equality)])).
% cnf(83442,negated_conjecture,($false),83441,['proof']).
% # SZS output end CNFRefutation
% # Processed clauses : 4078
% # ...of these trivial : 100
% # ...subsumed : 2764
% # ...remaining for further processing: 1214
% # Other redundant clauses eliminated : 26
% # Clauses deleted for lack of memory : 0
% # Backward-subsumed : 108
% # Backward-rewritten : 475
% # Generated clauses : 31926
% # ...of the previous two non-trivial : 29073
% # Contextual simplify-reflections : 2932
% # Paramodulations : 31752
% # Factorizations : 4
% # Equation resolutions : 103
% # Current number of processed clauses: 566
% # Positive orientable unit clauses: 72
% # Positive unorientable unit clauses: 0
% # Negative unit clauses : 2
% # Non-unit-clauses : 492
% # Current number of unprocessed clauses: 12428
% # ...number of literals in the above : 72951
% # Clause-clause subsumption calls (NU) : 45161
% # Rec. Clause-clause subsumption calls : 17660
% # Unit Clause-clause subsumption calls : 798
% # Rewrite failures with RHS unbound : 0
% # Indexed BW rewrite attempts : 36
% # Indexed BW rewrite successes : 23
% # Backwards rewriting index: 584 leaves, 1.46+/-1.471 terms/leaf
% # Paramod-from index: 282 leaves, 1.18+/-0.641 terms/leaf
% # Paramod-into index: 448 leaves, 1.35+/-1.107 terms/leaf
% # -------------------------------------------------
% # User time : 1.888 s
% # System time : 0.064 s
% # Total time : 1.952 s
% # Maximum resident set size: 0 pages
% PrfWatch: 3.23 CPU 3.50 WC
% FINAL PrfWatch: 3.23 CPU 3.50 WC
% SZS output end Solution for /tmp/SystemOnTPTP18093/NUM447+5.tptp
%
%------------------------------------------------------------------------------