TSTP Solution File: NUM449+6 by SRASS---0.1
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- Process Solution
%------------------------------------------------------------------------------
% File : SRASS---0.1
% Problem : NUM449+6 : TPTP v5.0.0. Released v4.0.0.
% Transfm : none
% Format : tptp
% Command : SRASS -q2 -a 0 10 10 10 -i3 -n60 %s
% Computer : art02.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 19:14:35 EST 2010
% Result : Theorem 1.07s
% Output : Solution 1.07s
% 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/SystemOnTPTP16176/NUM449+6.tptp
% Adding relevance values
% Extracting the conjecture
% Sorting axioms by relevance
% Looking for THM ...
% found
% SZS status THM for /tmp/SystemOnTPTP16176/NUM449+6.tptp
% SZS output start Solution for /tmp/SystemOnTPTP16176/NUM449+6.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 16272
% TreeLimitedRun: ----------------------------------------------------------
% PrfWatch: 0.00 CPU 0.00 WC
% # Preprocessing time : 0.026 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(26, 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(28, axiom,isFinite0(xS),file('/tmp/SRASS.s.p', m__2117)).
% fof(29, axiom,![X1]:(((aSet0(X1)&isFinite0(X1))&![X2]:(aElementOf0(X2,X1)=>(aSubsetOf0(X2,cS1395)&isClosed0(X2))))=>isClosed0(sbsmnsldt0(X1))),file('/tmp/SRASS.s.p', mUnionSClosed)).
% fof(34, axiom,![X1]:![X2]:(((aInteger0(X1)&aInteger0(X2))&~(X2=sz00))=>(aSubsetOf0(szAzrzSzezqlpdtcmdtrp0(X1,X2),cS1395)&isClosed0(szAzrzSzezqlpdtcmdtrp0(X1,X2)))),file('/tmp/SRASS.s.p', mArSeqClosed)).
% fof(45, conjecture,((aSet0(sbsmnsldt0(xS))&![X1]:(aElementOf0(X1,sbsmnsldt0(xS))<=>(aInteger0(X1)&?[X2]:(aElementOf0(X2,xS)&aElementOf0(X1,X2)))))=>((![X1]:(aElementOf0(X1,stldt0(sbsmnsldt0(xS)))<=>(aInteger0(X1)&~(aElementOf0(X1,sbsmnsldt0(xS)))))=>(![X1]:(aElementOf0(X1,stldt0(sbsmnsldt0(xS)))=>?[X2]:((aInteger0(X2)&~(X2=sz00))&((aSet0(szAzrzSzezqlpdtcmdtrp0(X1,X2))&![X3]:((aElementOf0(X3,szAzrzSzezqlpdtcmdtrp0(X1,X2))=>(((aInteger0(X3)&?[X4]:(aInteger0(X4)&sdtasdt0(X2,X4)=sdtpldt0(X3,smndt0(X1))))&aDivisorOf0(X2,sdtpldt0(X3,smndt0(X1))))&sdteqdtlpzmzozddtrp0(X3,X1,X2)))&((aInteger0(X3)&((?[X4]:(aInteger0(X4)&sdtasdt0(X2,X4)=sdtpldt0(X3,smndt0(X1)))|aDivisorOf0(X2,sdtpldt0(X3,smndt0(X1))))|sdteqdtlpzmzozddtrp0(X3,X1,X2)))=>aElementOf0(X3,szAzrzSzezqlpdtcmdtrp0(X1,X2)))))=>(![X3]:(aElementOf0(X3,szAzrzSzezqlpdtcmdtrp0(X1,X2))=>aElementOf0(X3,stldt0(sbsmnsldt0(xS))))|aSubsetOf0(szAzrzSzezqlpdtcmdtrp0(X1,X2),stldt0(sbsmnsldt0(xS)))))))|isOpen0(stldt0(sbsmnsldt0(xS)))))|isClosed0(sbsmnsldt0(xS)))),file('/tmp/SRASS.s.p', m__)).
% fof(46, negated_conjecture,~(((aSet0(sbsmnsldt0(xS))&![X1]:(aElementOf0(X1,sbsmnsldt0(xS))<=>(aInteger0(X1)&?[X2]:(aElementOf0(X2,xS)&aElementOf0(X1,X2)))))=>((![X1]:(aElementOf0(X1,stldt0(sbsmnsldt0(xS)))<=>(aInteger0(X1)&~(aElementOf0(X1,sbsmnsldt0(xS)))))=>(![X1]:(aElementOf0(X1,stldt0(sbsmnsldt0(xS)))=>?[X2]:((aInteger0(X2)&~(X2=sz00))&((aSet0(szAzrzSzezqlpdtcmdtrp0(X1,X2))&![X3]:((aElementOf0(X3,szAzrzSzezqlpdtcmdtrp0(X1,X2))=>(((aInteger0(X3)&?[X4]:(aInteger0(X4)&sdtasdt0(X2,X4)=sdtpldt0(X3,smndt0(X1))))&aDivisorOf0(X2,sdtpldt0(X3,smndt0(X1))))&sdteqdtlpzmzozddtrp0(X3,X1,X2)))&((aInteger0(X3)&((?[X4]:(aInteger0(X4)&sdtasdt0(X2,X4)=sdtpldt0(X3,smndt0(X1)))|aDivisorOf0(X2,sdtpldt0(X3,smndt0(X1))))|sdteqdtlpzmzozddtrp0(X3,X1,X2)))=>aElementOf0(X3,szAzrzSzezqlpdtcmdtrp0(X1,X2)))))=>(![X3]:(aElementOf0(X3,szAzrzSzezqlpdtcmdtrp0(X1,X2))=>aElementOf0(X3,stldt0(sbsmnsldt0(xS))))|aSubsetOf0(szAzrzSzezqlpdtcmdtrp0(X1,X2),stldt0(sbsmnsldt0(xS)))))))|isOpen0(stldt0(sbsmnsldt0(xS)))))|isClosed0(sbsmnsldt0(xS))))),inference(assume_negation,[status(cth)],[45])).
% fof(54, negated_conjecture,~(((aSet0(sbsmnsldt0(xS))&![X1]:(aElementOf0(X1,sbsmnsldt0(xS))<=>(aInteger0(X1)&?[X2]:(aElementOf0(X2,xS)&aElementOf0(X1,X2)))))=>((![X1]:(aElementOf0(X1,stldt0(sbsmnsldt0(xS)))<=>(aInteger0(X1)&~(aElementOf0(X1,sbsmnsldt0(xS)))))=>(![X1]:(aElementOf0(X1,stldt0(sbsmnsldt0(xS)))=>?[X2]:((aInteger0(X2)&~(X2=sz00))&((aSet0(szAzrzSzezqlpdtcmdtrp0(X1,X2))&![X3]:((aElementOf0(X3,szAzrzSzezqlpdtcmdtrp0(X1,X2))=>(((aInteger0(X3)&?[X4]:(aInteger0(X4)&sdtasdt0(X2,X4)=sdtpldt0(X3,smndt0(X1))))&aDivisorOf0(X2,sdtpldt0(X3,smndt0(X1))))&sdteqdtlpzmzozddtrp0(X3,X1,X2)))&((aInteger0(X3)&((?[X4]:(aInteger0(X4)&sdtasdt0(X2,X4)=sdtpldt0(X3,smndt0(X1)))|aDivisorOf0(X2,sdtpldt0(X3,smndt0(X1))))|sdteqdtlpzmzozddtrp0(X3,X1,X2)))=>aElementOf0(X3,szAzrzSzezqlpdtcmdtrp0(X1,X2)))))=>(![X3]:(aElementOf0(X3,szAzrzSzezqlpdtcmdtrp0(X1,X2))=>aElementOf0(X3,stldt0(sbsmnsldt0(xS))))|aSubsetOf0(szAzrzSzezqlpdtcmdtrp0(X1,X2),stldt0(sbsmnsldt0(xS)))))))|isOpen0(stldt0(sbsmnsldt0(xS)))))|isClosed0(sbsmnsldt0(xS))))),inference(fof_simplification,[status(thm)],[46,theory(equality)])).
% cnf(55,plain,(aInteger0(sz00)),inference(split_conjunct,[status(thm)],[1])).
% fof(170, 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)],[26])).
% fof(171, 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)],[170])).
% fof(172, plain,((aSet0(xS)&![X5]:((~(aElementOf0(X5,xS))|(((((aInteger0(esk5_1(X5))&~(esk5_1(X5)=sz00))&isPrime0(esk5_1(X5)))&aSet0(szAzrzSzezqlpdtcmdtrp0(sz00,esk5_1(X5))))&![X7]:((~(aElementOf0(X7,szAzrzSzezqlpdtcmdtrp0(sz00,esk5_1(X5))))|(((aInteger0(X7)&(aInteger0(esk6_2(X5,X7))&sdtasdt0(esk5_1(X5),esk6_2(X5,X7))=sdtpldt0(X7,smndt0(sz00))))&aDivisorOf0(esk5_1(X5),sdtpldt0(X7,smndt0(sz00))))&sdteqdtlpzmzozddtrp0(X7,sz00,esk5_1(X5))))&((~(aInteger0(X7))|((![X9]:(~(aInteger0(X9))|~(sdtasdt0(esk5_1(X5),X9)=sdtpldt0(X7,smndt0(sz00))))&~(aDivisorOf0(esk5_1(X5),sdtpldt0(X7,smndt0(sz00)))))&~(sdteqdtlpzmzozddtrp0(X7,sz00,esk5_1(X5)))))|aElementOf0(X7,szAzrzSzezqlpdtcmdtrp0(sz00,esk5_1(X5))))))&szAzrzSzezqlpdtcmdtrp0(sz00,esk5_1(X5))=X5))&(![X10]:(((~(aInteger0(X10))|X10=sz00)|~(isPrime0(X10)))|((aSet0(szAzrzSzezqlpdtcmdtrp0(sz00,X10))&![X11]:((~(aElementOf0(X11,szAzrzSzezqlpdtcmdtrp0(sz00,X10)))|(((aInteger0(X11)&(aInteger0(esk7_3(X5,X10,X11))&sdtasdt0(X10,esk7_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)],[171])).
% fof(173, 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(esk7_3(X5,X10,X11))&sdtasdt0(X10,esk7_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(esk5_1(X5),X9)=sdtpldt0(X7,smndt0(sz00))))&~(aDivisorOf0(esk5_1(X5),sdtpldt0(X7,smndt0(sz00)))))&~(sdteqdtlpzmzozddtrp0(X7,sz00,esk5_1(X5))))|~(aInteger0(X7)))|aElementOf0(X7,szAzrzSzezqlpdtcmdtrp0(sz00,esk5_1(X5))))&(~(aElementOf0(X7,szAzrzSzezqlpdtcmdtrp0(sz00,esk5_1(X5))))|(((aInteger0(X7)&(aInteger0(esk6_2(X5,X7))&sdtasdt0(esk5_1(X5),esk6_2(X5,X7))=sdtpldt0(X7,smndt0(sz00))))&aDivisorOf0(esk5_1(X5),sdtpldt0(X7,smndt0(sz00))))&sdteqdtlpzmzozddtrp0(X7,sz00,esk5_1(X5)))))&(((aInteger0(esk5_1(X5))&~(esk5_1(X5)=sz00))&isPrime0(esk5_1(X5)))&aSet0(szAzrzSzezqlpdtcmdtrp0(sz00,esk5_1(X5)))))&szAzrzSzezqlpdtcmdtrp0(sz00,esk5_1(X5))=X5)|~(aElementOf0(X5,xS))))&aSet0(xS))&xS=cS2043),inference(shift_quantors,[status(thm)],[172])).
% fof(174, 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(esk7_3(X5,X10,X11))|~(aElementOf0(X11,szAzrzSzezqlpdtcmdtrp0(sz00,X10))))|((~(aInteger0(X10))|X10=sz00)|~(isPrime0(X10))))|aElementOf0(X5,xS))&(((sdtasdt0(X10,esk7_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(esk5_1(X5),X9)=sdtpldt0(X7,smndt0(sz00))))|~(aInteger0(X7)))|aElementOf0(X7,szAzrzSzezqlpdtcmdtrp0(sz00,esk5_1(X5))))|~(aElementOf0(X5,xS)))&(((~(aDivisorOf0(esk5_1(X5),sdtpldt0(X7,smndt0(sz00))))|~(aInteger0(X7)))|aElementOf0(X7,szAzrzSzezqlpdtcmdtrp0(sz00,esk5_1(X5))))|~(aElementOf0(X5,xS))))&(((~(sdteqdtlpzmzozddtrp0(X7,sz00,esk5_1(X5)))|~(aInteger0(X7)))|aElementOf0(X7,szAzrzSzezqlpdtcmdtrp0(sz00,esk5_1(X5))))|~(aElementOf0(X5,xS))))&(((((aInteger0(X7)|~(aElementOf0(X7,szAzrzSzezqlpdtcmdtrp0(sz00,esk5_1(X5)))))|~(aElementOf0(X5,xS)))&(((aInteger0(esk6_2(X5,X7))|~(aElementOf0(X7,szAzrzSzezqlpdtcmdtrp0(sz00,esk5_1(X5)))))|~(aElementOf0(X5,xS)))&((sdtasdt0(esk5_1(X5),esk6_2(X5,X7))=sdtpldt0(X7,smndt0(sz00))|~(aElementOf0(X7,szAzrzSzezqlpdtcmdtrp0(sz00,esk5_1(X5)))))|~(aElementOf0(X5,xS)))))&((aDivisorOf0(esk5_1(X5),sdtpldt0(X7,smndt0(sz00)))|~(aElementOf0(X7,szAzrzSzezqlpdtcmdtrp0(sz00,esk5_1(X5)))))|~(aElementOf0(X5,xS))))&((sdteqdtlpzmzozddtrp0(X7,sz00,esk5_1(X5))|~(aElementOf0(X7,szAzrzSzezqlpdtcmdtrp0(sz00,esk5_1(X5)))))|~(aElementOf0(X5,xS)))))&((((aInteger0(esk5_1(X5))|~(aElementOf0(X5,xS)))&(~(esk5_1(X5)=sz00)|~(aElementOf0(X5,xS))))&(isPrime0(esk5_1(X5))|~(aElementOf0(X5,xS))))&(aSet0(szAzrzSzezqlpdtcmdtrp0(sz00,esk5_1(X5)))|~(aElementOf0(X5,xS)))))&(szAzrzSzezqlpdtcmdtrp0(sz00,esk5_1(X5))=X5|~(aElementOf0(X5,xS)))))&aSet0(xS))&xS=cS2043),inference(distribute,[status(thm)],[173])).
% cnf(176,plain,(aSet0(xS)),inference(split_conjunct,[status(thm)],[174])).
% cnf(177,plain,(szAzrzSzezqlpdtcmdtrp0(sz00,esk5_1(X1))=X1|~aElementOf0(X1,xS)),inference(split_conjunct,[status(thm)],[174])).
% cnf(180,plain,(~aElementOf0(X1,xS)|esk5_1(X1)!=sz00),inference(split_conjunct,[status(thm)],[174])).
% cnf(181,plain,(aInteger0(esk5_1(X1))|~aElementOf0(X1,xS)),inference(split_conjunct,[status(thm)],[174])).
% cnf(218,plain,(isFinite0(xS)),inference(split_conjunct,[status(thm)],[28])).
% fof(219, plain,![X1]:(((~(aSet0(X1))|~(isFinite0(X1)))|?[X2]:(aElementOf0(X2,X1)&(~(aSubsetOf0(X2,cS1395))|~(isClosed0(X2)))))|isClosed0(sbsmnsldt0(X1))),inference(fof_nnf,[status(thm)],[29])).
% fof(220, plain,![X3]:(((~(aSet0(X3))|~(isFinite0(X3)))|?[X4]:(aElementOf0(X4,X3)&(~(aSubsetOf0(X4,cS1395))|~(isClosed0(X4)))))|isClosed0(sbsmnsldt0(X3))),inference(variable_rename,[status(thm)],[219])).
% fof(221, plain,![X3]:(((~(aSet0(X3))|~(isFinite0(X3)))|(aElementOf0(esk9_1(X3),X3)&(~(aSubsetOf0(esk9_1(X3),cS1395))|~(isClosed0(esk9_1(X3))))))|isClosed0(sbsmnsldt0(X3))),inference(skolemize,[status(esa)],[220])).
% fof(222, plain,![X3]:(((aElementOf0(esk9_1(X3),X3)|(~(aSet0(X3))|~(isFinite0(X3))))|isClosed0(sbsmnsldt0(X3)))&(((~(aSubsetOf0(esk9_1(X3),cS1395))|~(isClosed0(esk9_1(X3))))|(~(aSet0(X3))|~(isFinite0(X3))))|isClosed0(sbsmnsldt0(X3)))),inference(distribute,[status(thm)],[221])).
% cnf(223,plain,(isClosed0(sbsmnsldt0(X1))|~isFinite0(X1)|~aSet0(X1)|~isClosed0(esk9_1(X1))|~aSubsetOf0(esk9_1(X1),cS1395)),inference(split_conjunct,[status(thm)],[222])).
% cnf(224,plain,(isClosed0(sbsmnsldt0(X1))|aElementOf0(esk9_1(X1),X1)|~isFinite0(X1)|~aSet0(X1)),inference(split_conjunct,[status(thm)],[222])).
% fof(276, plain,![X1]:![X2]:(((~(aInteger0(X1))|~(aInteger0(X2)))|X2=sz00)|(aSubsetOf0(szAzrzSzezqlpdtcmdtrp0(X1,X2),cS1395)&isClosed0(szAzrzSzezqlpdtcmdtrp0(X1,X2)))),inference(fof_nnf,[status(thm)],[34])).
% fof(277, plain,![X3]:![X4]:(((~(aInteger0(X3))|~(aInteger0(X4)))|X4=sz00)|(aSubsetOf0(szAzrzSzezqlpdtcmdtrp0(X3,X4),cS1395)&isClosed0(szAzrzSzezqlpdtcmdtrp0(X3,X4)))),inference(variable_rename,[status(thm)],[276])).
% fof(278, plain,![X3]:![X4]:((aSubsetOf0(szAzrzSzezqlpdtcmdtrp0(X3,X4),cS1395)|((~(aInteger0(X3))|~(aInteger0(X4)))|X4=sz00))&(isClosed0(szAzrzSzezqlpdtcmdtrp0(X3,X4))|((~(aInteger0(X3))|~(aInteger0(X4)))|X4=sz00))),inference(distribute,[status(thm)],[277])).
% cnf(279,plain,(X1=sz00|isClosed0(szAzrzSzezqlpdtcmdtrp0(X2,X1))|~aInteger0(X1)|~aInteger0(X2)),inference(split_conjunct,[status(thm)],[278])).
% cnf(280,plain,(X1=sz00|aSubsetOf0(szAzrzSzezqlpdtcmdtrp0(X2,X1),cS1395)|~aInteger0(X1)|~aInteger0(X2)),inference(split_conjunct,[status(thm)],[278])).
% fof(332, negated_conjecture,((aSet0(sbsmnsldt0(xS))&![X1]:((~(aElementOf0(X1,sbsmnsldt0(xS)))|(aInteger0(X1)&?[X2]:(aElementOf0(X2,xS)&aElementOf0(X1,X2))))&((~(aInteger0(X1))|![X2]:(~(aElementOf0(X2,xS))|~(aElementOf0(X1,X2))))|aElementOf0(X1,sbsmnsldt0(xS)))))&((![X1]:((~(aElementOf0(X1,stldt0(sbsmnsldt0(xS))))|(aInteger0(X1)&~(aElementOf0(X1,sbsmnsldt0(xS)))))&((~(aInteger0(X1))|aElementOf0(X1,sbsmnsldt0(xS)))|aElementOf0(X1,stldt0(sbsmnsldt0(xS)))))&(?[X1]:(aElementOf0(X1,stldt0(sbsmnsldt0(xS)))&![X2]:((~(aInteger0(X2))|X2=sz00)|((aSet0(szAzrzSzezqlpdtcmdtrp0(X1,X2))&![X3]:((~(aElementOf0(X3,szAzrzSzezqlpdtcmdtrp0(X1,X2)))|(((aInteger0(X3)&?[X4]:(aInteger0(X4)&sdtasdt0(X2,X4)=sdtpldt0(X3,smndt0(X1))))&aDivisorOf0(X2,sdtpldt0(X3,smndt0(X1))))&sdteqdtlpzmzozddtrp0(X3,X1,X2)))&((~(aInteger0(X3))|((![X4]:(~(aInteger0(X4))|~(sdtasdt0(X2,X4)=sdtpldt0(X3,smndt0(X1))))&~(aDivisorOf0(X2,sdtpldt0(X3,smndt0(X1)))))&~(sdteqdtlpzmzozddtrp0(X3,X1,X2))))|aElementOf0(X3,szAzrzSzezqlpdtcmdtrp0(X1,X2)))))&(?[X3]:(aElementOf0(X3,szAzrzSzezqlpdtcmdtrp0(X1,X2))&~(aElementOf0(X3,stldt0(sbsmnsldt0(xS)))))&~(aSubsetOf0(szAzrzSzezqlpdtcmdtrp0(X1,X2),stldt0(sbsmnsldt0(xS))))))))&~(isOpen0(stldt0(sbsmnsldt0(xS))))))&~(isClosed0(sbsmnsldt0(xS))))),inference(fof_nnf,[status(thm)],[54])).
% fof(333, negated_conjecture,((aSet0(sbsmnsldt0(xS))&![X5]:((~(aElementOf0(X5,sbsmnsldt0(xS)))|(aInteger0(X5)&?[X6]:(aElementOf0(X6,xS)&aElementOf0(X5,X6))))&((~(aInteger0(X5))|![X7]:(~(aElementOf0(X7,xS))|~(aElementOf0(X5,X7))))|aElementOf0(X5,sbsmnsldt0(xS)))))&((![X8]:((~(aElementOf0(X8,stldt0(sbsmnsldt0(xS))))|(aInteger0(X8)&~(aElementOf0(X8,sbsmnsldt0(xS)))))&((~(aInteger0(X8))|aElementOf0(X8,sbsmnsldt0(xS)))|aElementOf0(X8,stldt0(sbsmnsldt0(xS)))))&(?[X9]:(aElementOf0(X9,stldt0(sbsmnsldt0(xS)))&![X10]:((~(aInteger0(X10))|X10=sz00)|((aSet0(szAzrzSzezqlpdtcmdtrp0(X9,X10))&![X11]:((~(aElementOf0(X11,szAzrzSzezqlpdtcmdtrp0(X9,X10)))|(((aInteger0(X11)&?[X12]:(aInteger0(X12)&sdtasdt0(X10,X12)=sdtpldt0(X11,smndt0(X9))))&aDivisorOf0(X10,sdtpldt0(X11,smndt0(X9))))&sdteqdtlpzmzozddtrp0(X11,X9,X10)))&((~(aInteger0(X11))|((![X13]:(~(aInteger0(X13))|~(sdtasdt0(X10,X13)=sdtpldt0(X11,smndt0(X9))))&~(aDivisorOf0(X10,sdtpldt0(X11,smndt0(X9)))))&~(sdteqdtlpzmzozddtrp0(X11,X9,X10))))|aElementOf0(X11,szAzrzSzezqlpdtcmdtrp0(X9,X10)))))&(?[X14]:(aElementOf0(X14,szAzrzSzezqlpdtcmdtrp0(X9,X10))&~(aElementOf0(X14,stldt0(sbsmnsldt0(xS)))))&~(aSubsetOf0(szAzrzSzezqlpdtcmdtrp0(X9,X10),stldt0(sbsmnsldt0(xS))))))))&~(isOpen0(stldt0(sbsmnsldt0(xS))))))&~(isClosed0(sbsmnsldt0(xS))))),inference(variable_rename,[status(thm)],[332])).
% fof(334, negated_conjecture,((aSet0(sbsmnsldt0(xS))&![X5]:((~(aElementOf0(X5,sbsmnsldt0(xS)))|(aInteger0(X5)&(aElementOf0(esk20_1(X5),xS)&aElementOf0(X5,esk20_1(X5)))))&((~(aInteger0(X5))|![X7]:(~(aElementOf0(X7,xS))|~(aElementOf0(X5,X7))))|aElementOf0(X5,sbsmnsldt0(xS)))))&((![X8]:((~(aElementOf0(X8,stldt0(sbsmnsldt0(xS))))|(aInteger0(X8)&~(aElementOf0(X8,sbsmnsldt0(xS)))))&((~(aInteger0(X8))|aElementOf0(X8,sbsmnsldt0(xS)))|aElementOf0(X8,stldt0(sbsmnsldt0(xS)))))&((aElementOf0(esk21_0,stldt0(sbsmnsldt0(xS)))&![X10]:((~(aInteger0(X10))|X10=sz00)|((aSet0(szAzrzSzezqlpdtcmdtrp0(esk21_0,X10))&![X11]:((~(aElementOf0(X11,szAzrzSzezqlpdtcmdtrp0(esk21_0,X10)))|(((aInteger0(X11)&(aInteger0(esk22_2(X10,X11))&sdtasdt0(X10,esk22_2(X10,X11))=sdtpldt0(X11,smndt0(esk21_0))))&aDivisorOf0(X10,sdtpldt0(X11,smndt0(esk21_0))))&sdteqdtlpzmzozddtrp0(X11,esk21_0,X10)))&((~(aInteger0(X11))|((![X13]:(~(aInteger0(X13))|~(sdtasdt0(X10,X13)=sdtpldt0(X11,smndt0(esk21_0))))&~(aDivisorOf0(X10,sdtpldt0(X11,smndt0(esk21_0)))))&~(sdteqdtlpzmzozddtrp0(X11,esk21_0,X10))))|aElementOf0(X11,szAzrzSzezqlpdtcmdtrp0(esk21_0,X10)))))&((aElementOf0(esk23_1(X10),szAzrzSzezqlpdtcmdtrp0(esk21_0,X10))&~(aElementOf0(esk23_1(X10),stldt0(sbsmnsldt0(xS)))))&~(aSubsetOf0(szAzrzSzezqlpdtcmdtrp0(esk21_0,X10),stldt0(sbsmnsldt0(xS))))))))&~(isOpen0(stldt0(sbsmnsldt0(xS))))))&~(isClosed0(sbsmnsldt0(xS))))),inference(skolemize,[status(esa)],[333])).
% fof(335, negated_conjecture,![X5]:![X7]:![X8]:![X10]:![X11]:![X13]:((((((((((((((~(aInteger0(X13))|~(sdtasdt0(X10,X13)=sdtpldt0(X11,smndt0(esk21_0))))&~(aDivisorOf0(X10,sdtpldt0(X11,smndt0(esk21_0)))))&~(sdteqdtlpzmzozddtrp0(X11,esk21_0,X10)))|~(aInteger0(X11)))|aElementOf0(X11,szAzrzSzezqlpdtcmdtrp0(esk21_0,X10)))&(~(aElementOf0(X11,szAzrzSzezqlpdtcmdtrp0(esk21_0,X10)))|(((aInteger0(X11)&(aInteger0(esk22_2(X10,X11))&sdtasdt0(X10,esk22_2(X10,X11))=sdtpldt0(X11,smndt0(esk21_0))))&aDivisorOf0(X10,sdtpldt0(X11,smndt0(esk21_0))))&sdteqdtlpzmzozddtrp0(X11,esk21_0,X10))))&aSet0(szAzrzSzezqlpdtcmdtrp0(esk21_0,X10)))&((aElementOf0(esk23_1(X10),szAzrzSzezqlpdtcmdtrp0(esk21_0,X10))&~(aElementOf0(esk23_1(X10),stldt0(sbsmnsldt0(xS)))))&~(aSubsetOf0(szAzrzSzezqlpdtcmdtrp0(esk21_0,X10),stldt0(sbsmnsldt0(xS))))))|(~(aInteger0(X10))|X10=sz00))&aElementOf0(esk21_0,stldt0(sbsmnsldt0(xS))))&~(isOpen0(stldt0(sbsmnsldt0(xS)))))&((~(aElementOf0(X8,stldt0(sbsmnsldt0(xS))))|(aInteger0(X8)&~(aElementOf0(X8,sbsmnsldt0(xS)))))&((~(aInteger0(X8))|aElementOf0(X8,sbsmnsldt0(xS)))|aElementOf0(X8,stldt0(sbsmnsldt0(xS))))))&~(isClosed0(sbsmnsldt0(xS))))&(((((~(aElementOf0(X7,xS))|~(aElementOf0(X5,X7)))|~(aInteger0(X5)))|aElementOf0(X5,sbsmnsldt0(xS)))&(~(aElementOf0(X5,sbsmnsldt0(xS)))|(aInteger0(X5)&(aElementOf0(esk20_1(X5),xS)&aElementOf0(X5,esk20_1(X5))))))&aSet0(sbsmnsldt0(xS)))),inference(shift_quantors,[status(thm)],[334])).
% fof(336, negated_conjecture,![X5]:![X7]:![X8]:![X10]:![X11]:![X13]:((((((((((((((~(aInteger0(X13))|~(sdtasdt0(X10,X13)=sdtpldt0(X11,smndt0(esk21_0))))|~(aInteger0(X11)))|aElementOf0(X11,szAzrzSzezqlpdtcmdtrp0(esk21_0,X10)))|(~(aInteger0(X10))|X10=sz00))&(((~(aDivisorOf0(X10,sdtpldt0(X11,smndt0(esk21_0))))|~(aInteger0(X11)))|aElementOf0(X11,szAzrzSzezqlpdtcmdtrp0(esk21_0,X10)))|(~(aInteger0(X10))|X10=sz00)))&(((~(sdteqdtlpzmzozddtrp0(X11,esk21_0,X10))|~(aInteger0(X11)))|aElementOf0(X11,szAzrzSzezqlpdtcmdtrp0(esk21_0,X10)))|(~(aInteger0(X10))|X10=sz00)))&(((((aInteger0(X11)|~(aElementOf0(X11,szAzrzSzezqlpdtcmdtrp0(esk21_0,X10))))|(~(aInteger0(X10))|X10=sz00))&(((aInteger0(esk22_2(X10,X11))|~(aElementOf0(X11,szAzrzSzezqlpdtcmdtrp0(esk21_0,X10))))|(~(aInteger0(X10))|X10=sz00))&((sdtasdt0(X10,esk22_2(X10,X11))=sdtpldt0(X11,smndt0(esk21_0))|~(aElementOf0(X11,szAzrzSzezqlpdtcmdtrp0(esk21_0,X10))))|(~(aInteger0(X10))|X10=sz00))))&((aDivisorOf0(X10,sdtpldt0(X11,smndt0(esk21_0)))|~(aElementOf0(X11,szAzrzSzezqlpdtcmdtrp0(esk21_0,X10))))|(~(aInteger0(X10))|X10=sz00)))&((sdteqdtlpzmzozddtrp0(X11,esk21_0,X10)|~(aElementOf0(X11,szAzrzSzezqlpdtcmdtrp0(esk21_0,X10))))|(~(aInteger0(X10))|X10=sz00))))&(aSet0(szAzrzSzezqlpdtcmdtrp0(esk21_0,X10))|(~(aInteger0(X10))|X10=sz00)))&(((aElementOf0(esk23_1(X10),szAzrzSzezqlpdtcmdtrp0(esk21_0,X10))|(~(aInteger0(X10))|X10=sz00))&(~(aElementOf0(esk23_1(X10),stldt0(sbsmnsldt0(xS))))|(~(aInteger0(X10))|X10=sz00)))&(~(aSubsetOf0(szAzrzSzezqlpdtcmdtrp0(esk21_0,X10),stldt0(sbsmnsldt0(xS))))|(~(aInteger0(X10))|X10=sz00))))&aElementOf0(esk21_0,stldt0(sbsmnsldt0(xS))))&~(isOpen0(stldt0(sbsmnsldt0(xS)))))&(((aInteger0(X8)|~(aElementOf0(X8,stldt0(sbsmnsldt0(xS)))))&(~(aElementOf0(X8,sbsmnsldt0(xS)))|~(aElementOf0(X8,stldt0(sbsmnsldt0(xS))))))&((~(aInteger0(X8))|aElementOf0(X8,sbsmnsldt0(xS)))|aElementOf0(X8,stldt0(sbsmnsldt0(xS))))))&~(isClosed0(sbsmnsldt0(xS))))&(((((~(aElementOf0(X7,xS))|~(aElementOf0(X5,X7)))|~(aInteger0(X5)))|aElementOf0(X5,sbsmnsldt0(xS)))&((aInteger0(X5)|~(aElementOf0(X5,sbsmnsldt0(xS))))&((aElementOf0(esk20_1(X5),xS)|~(aElementOf0(X5,sbsmnsldt0(xS))))&(aElementOf0(X5,esk20_1(X5))|~(aElementOf0(X5,sbsmnsldt0(xS)))))))&aSet0(sbsmnsldt0(xS)))),inference(distribute,[status(thm)],[335])).
% cnf(342,negated_conjecture,(~isClosed0(sbsmnsldt0(xS))),inference(split_conjunct,[status(thm)],[336])).
% cnf(528,negated_conjecture,(aElementOf0(esk9_1(xS),xS)|~isFinite0(xS)|~aSet0(xS)),inference(spm,[status(thm)],[342,224,theory(equality)])).
% cnf(539,negated_conjecture,(aElementOf0(esk9_1(xS),xS)|$false|~aSet0(xS)),inference(rw,[status(thm)],[528,218,theory(equality)])).
% cnf(540,negated_conjecture,(aElementOf0(esk9_1(xS),xS)|$false|$false),inference(rw,[status(thm)],[539,176,theory(equality)])).
% cnf(541,negated_conjecture,(aElementOf0(esk9_1(xS),xS)),inference(cn,[status(thm)],[540,theory(equality)])).
% cnf(1133,negated_conjecture,(aInteger0(esk5_1(esk9_1(xS)))),inference(spm,[status(thm)],[181,541,theory(equality)])).
% cnf(1135,negated_conjecture,(szAzrzSzezqlpdtcmdtrp0(sz00,esk5_1(esk9_1(xS)))=esk9_1(xS)),inference(spm,[status(thm)],[177,541,theory(equality)])).
% cnf(1221,negated_conjecture,(sz00=esk5_1(esk9_1(xS))|isClosed0(esk9_1(xS))|~aInteger0(sz00)|~aInteger0(esk5_1(esk9_1(xS)))),inference(spm,[status(thm)],[279,1135,theory(equality)])).
% cnf(1222,negated_conjecture,(sz00=esk5_1(esk9_1(xS))|aSubsetOf0(esk9_1(xS),cS1395)|~aInteger0(sz00)|~aInteger0(esk5_1(esk9_1(xS)))),inference(spm,[status(thm)],[280,1135,theory(equality)])).
% cnf(1233,negated_conjecture,(sz00=esk5_1(esk9_1(xS))|isClosed0(esk9_1(xS))|$false|~aInteger0(esk5_1(esk9_1(xS)))),inference(rw,[status(thm)],[1221,55,theory(equality)])).
% cnf(1234,negated_conjecture,(sz00=esk5_1(esk9_1(xS))|isClosed0(esk9_1(xS))|$false|$false),inference(rw,[status(thm)],[1233,1133,theory(equality)])).
% cnf(1235,negated_conjecture,(sz00=esk5_1(esk9_1(xS))|isClosed0(esk9_1(xS))),inference(cn,[status(thm)],[1234,theory(equality)])).
% cnf(1236,negated_conjecture,(sz00=esk5_1(esk9_1(xS))|aSubsetOf0(esk9_1(xS),cS1395)|$false|~aInteger0(esk5_1(esk9_1(xS)))),inference(rw,[status(thm)],[1222,55,theory(equality)])).
% cnf(1237,negated_conjecture,(sz00=esk5_1(esk9_1(xS))|aSubsetOf0(esk9_1(xS),cS1395)|$false|$false),inference(rw,[status(thm)],[1236,1133,theory(equality)])).
% cnf(1238,negated_conjecture,(sz00=esk5_1(esk9_1(xS))|aSubsetOf0(esk9_1(xS),cS1395)),inference(cn,[status(thm)],[1237,theory(equality)])).
% cnf(1313,negated_conjecture,(isClosed0(sbsmnsldt0(xS))|esk5_1(esk9_1(xS))=sz00|~isFinite0(xS)|~aSubsetOf0(esk9_1(xS),cS1395)|~aSet0(xS)),inference(spm,[status(thm)],[223,1235,theory(equality)])).
% cnf(1314,negated_conjecture,(isClosed0(sbsmnsldt0(xS))|esk5_1(esk9_1(xS))=sz00|$false|~aSubsetOf0(esk9_1(xS),cS1395)|~aSet0(xS)),inference(rw,[status(thm)],[1313,218,theory(equality)])).
% cnf(1315,negated_conjecture,(isClosed0(sbsmnsldt0(xS))|esk5_1(esk9_1(xS))=sz00|$false|~aSubsetOf0(esk9_1(xS),cS1395)|$false),inference(rw,[status(thm)],[1314,176,theory(equality)])).
% cnf(1316,negated_conjecture,(isClosed0(sbsmnsldt0(xS))|esk5_1(esk9_1(xS))=sz00|~aSubsetOf0(esk9_1(xS),cS1395)),inference(cn,[status(thm)],[1315,theory(equality)])).
% cnf(1317,negated_conjecture,(esk5_1(esk9_1(xS))=sz00|~aSubsetOf0(esk9_1(xS),cS1395)),inference(sr,[status(thm)],[1316,342,theory(equality)])).
% cnf(1390,negated_conjecture,(aSubsetOf0(esk9_1(xS),cS1395)|~aElementOf0(esk9_1(xS),xS)),inference(spm,[status(thm)],[180,1238,theory(equality)])).
% cnf(1394,negated_conjecture,(aSubsetOf0(esk9_1(xS),cS1395)|$false),inference(rw,[status(thm)],[1390,541,theory(equality)])).
% cnf(1395,negated_conjecture,(aSubsetOf0(esk9_1(xS),cS1395)),inference(cn,[status(thm)],[1394,theory(equality)])).
% cnf(1591,negated_conjecture,(esk5_1(esk9_1(xS))=sz00|$false),inference(rw,[status(thm)],[1317,1395,theory(equality)])).
% cnf(1592,negated_conjecture,(esk5_1(esk9_1(xS))=sz00),inference(cn,[status(thm)],[1591,theory(equality)])).
% cnf(1593,negated_conjecture,(~aElementOf0(esk9_1(xS),xS)),inference(spm,[status(thm)],[180,1592,theory(equality)])).
% cnf(1600,negated_conjecture,($false),inference(rw,[status(thm)],[1593,541,theory(equality)])).
% cnf(1601,negated_conjecture,($false),inference(cn,[status(thm)],[1600,theory(equality)])).
% cnf(1602,negated_conjecture,($false),1601,['proof']).
% # SZS output end CNFRefutation
% # Processed clauses : 236
% # ...of these trivial : 5
% # ...subsumed : 16
% # ...remaining for further processing: 215
% # Other redundant clauses eliminated : 2
% # Clauses deleted for lack of memory : 0
% # Backward-subsumed : 0
% # Backward-rewritten : 17
% # Generated clauses : 659
% # ...of the previous two non-trivial : 628
% # Contextual simplify-reflections : 0
% # Paramodulations : 622
% # Factorizations : 0
% # Equation resolutions : 37
% # Current number of processed clauses: 198
% # Positive orientable unit clauses: 22
% # Positive unorientable unit clauses: 0
% # Negative unit clauses : 5
% # Non-unit-clauses : 171
% # Current number of unprocessed clauses: 488
% # ...number of literals in the above : 2754
% # Clause-clause subsumption calls (NU) : 885
% # Rec. Clause-clause subsumption calls : 291
% # Unit Clause-clause subsumption calls : 159
% # Rewrite failures with RHS unbound : 0
% # Indexed BW rewrite attempts : 6
% # Indexed BW rewrite successes : 5
% # Backwards rewriting index: 198 leaves, 1.42+/-1.106 terms/leaf
% # Paramod-from index: 70 leaves, 1.04+/-0.203 terms/leaf
% # Paramod-into index: 132 leaves, 1.23+/-0.661 terms/leaf
% # -------------------------------------------------
% # User time : 0.073 s
% # System time : 0.004 s
% # Total time : 0.077 s
% # Maximum resident set size: 0 pages
% PrfWatch: 0.20 CPU 0.28 WC
% FINAL PrfWatch: 0.20 CPU 0.28 WC
% SZS output end Solution for /tmp/SystemOnTPTP16176/NUM449+6.tptp
%
%------------------------------------------------------------------------------