TSTP Solution File: NUM450+6 by SRASS---0.1
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- Process Solution
%------------------------------------------------------------------------------
% File : SRASS---0.1
% Problem : NUM450+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 19:14:53 EST 2010
% Result : Theorem 1.09s
% Output : Solution 1.09s
% 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/SystemOnTPTP16435/NUM450+6.tptp
% Adding relevance values
% Extracting the conjecture
% Sorting axioms by relevance
% Looking for THM ...
% found
% SZS status THM for /tmp/SystemOnTPTP16435/NUM450+6.tptp
% SZS output start Solution for /tmp/SystemOnTPTP16435/NUM450+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 16531
% TreeLimitedRun: ----------------------------------------------------------
% PrfWatch: 0.00 CPU 0.00 WC
% # Preprocessing time : 0.029 s
% # Problem is unsatisfiable (or provable), constructing proof object
% # SZS status Theorem
% # SZS output start CNFRefutation.
% fof(27, axiom,(((((aSet0(sbsmnsldt0(xS))&![X1]:(aElementOf0(X1,sbsmnsldt0(xS))<=>(aInteger0(X1)&?[X2]:(aElementOf0(X2,xS)&aElementOf0(X1,X2)))))&aSet0(stldt0(sbsmnsldt0(xS))))&![X1]:(aElementOf0(X1,stldt0(sbsmnsldt0(xS)))<=>(aInteger0(X1)&~(aElementOf0(X1,sbsmnsldt0(xS))))))&![X1]:(aElementOf0(X1,stldt0(sbsmnsldt0(xS)))<=>(X1=sz10|X1=smndt0(sz10))))&stldt0(sbsmnsldt0(xS))=cS2076),file('/tmp/SRASS.s.p', m__2079)).
% fof(29, axiom,(((((((((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)))&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)))))),file('/tmp/SRASS.s.p', m__2144)).
% fof(46, conjecture,?[X1]:((aInteger0(X1)&~(X1=sz00))&((aSet0(szAzrzSzezqlpdtcmdtrp0(sz10,X1))&![X2]:((aElementOf0(X2,szAzrzSzezqlpdtcmdtrp0(sz10,X1))=>(((aInteger0(X2)&?[X3]:(aInteger0(X3)&sdtasdt0(X1,X3)=sdtpldt0(X2,smndt0(sz10))))&aDivisorOf0(X1,sdtpldt0(X2,smndt0(sz10))))&sdteqdtlpzmzozddtrp0(X2,sz10,X1)))&((aInteger0(X2)&((?[X3]:(aInteger0(X3)&sdtasdt0(X1,X3)=sdtpldt0(X2,smndt0(sz10)))|aDivisorOf0(X1,sdtpldt0(X2,smndt0(sz10))))|sdteqdtlpzmzozddtrp0(X2,sz10,X1)))=>aElementOf0(X2,szAzrzSzezqlpdtcmdtrp0(sz10,X1)))))=>((aSet0(sbsmnsldt0(xS))&![X2]:(aElementOf0(X2,sbsmnsldt0(xS))<=>(aInteger0(X2)&?[X3]:(aElementOf0(X3,xS)&aElementOf0(X2,X3)))))=>(![X2]:(aElementOf0(X2,stldt0(sbsmnsldt0(xS)))<=>(aInteger0(X2)&~(aElementOf0(X2,sbsmnsldt0(xS)))))=>(![X2]:(aElementOf0(X2,szAzrzSzezqlpdtcmdtrp0(sz10,X1))=>aElementOf0(X2,stldt0(sbsmnsldt0(xS))))|aSubsetOf0(szAzrzSzezqlpdtcmdtrp0(sz10,X1),stldt0(sbsmnsldt0(xS)))))))),file('/tmp/SRASS.s.p', m__)).
% fof(47, negated_conjecture,~(?[X1]:((aInteger0(X1)&~(X1=sz00))&((aSet0(szAzrzSzezqlpdtcmdtrp0(sz10,X1))&![X2]:((aElementOf0(X2,szAzrzSzezqlpdtcmdtrp0(sz10,X1))=>(((aInteger0(X2)&?[X3]:(aInteger0(X3)&sdtasdt0(X1,X3)=sdtpldt0(X2,smndt0(sz10))))&aDivisorOf0(X1,sdtpldt0(X2,smndt0(sz10))))&sdteqdtlpzmzozddtrp0(X2,sz10,X1)))&((aInteger0(X2)&((?[X3]:(aInteger0(X3)&sdtasdt0(X1,X3)=sdtpldt0(X2,smndt0(sz10)))|aDivisorOf0(X1,sdtpldt0(X2,smndt0(sz10))))|sdteqdtlpzmzozddtrp0(X2,sz10,X1)))=>aElementOf0(X2,szAzrzSzezqlpdtcmdtrp0(sz10,X1)))))=>((aSet0(sbsmnsldt0(xS))&![X2]:(aElementOf0(X2,sbsmnsldt0(xS))<=>(aInteger0(X2)&?[X3]:(aElementOf0(X3,xS)&aElementOf0(X2,X3)))))=>(![X2]:(aElementOf0(X2,stldt0(sbsmnsldt0(xS)))<=>(aInteger0(X2)&~(aElementOf0(X2,sbsmnsldt0(xS)))))=>(![X2]:(aElementOf0(X2,szAzrzSzezqlpdtcmdtrp0(sz10,X1))=>aElementOf0(X2,stldt0(sbsmnsldt0(xS))))|aSubsetOf0(szAzrzSzezqlpdtcmdtrp0(sz10,X1),stldt0(sbsmnsldt0(xS))))))))),inference(assume_negation,[status(cth)],[46])).
% fof(48, plain,(((((aSet0(sbsmnsldt0(xS))&![X1]:(aElementOf0(X1,sbsmnsldt0(xS))<=>(aInteger0(X1)&?[X2]:(aElementOf0(X2,xS)&aElementOf0(X1,X2)))))&aSet0(stldt0(sbsmnsldt0(xS))))&![X1]:(aElementOf0(X1,stldt0(sbsmnsldt0(xS)))<=>(aInteger0(X1)&~(aElementOf0(X1,sbsmnsldt0(xS))))))&![X1]:(aElementOf0(X1,stldt0(sbsmnsldt0(xS)))<=>(X1=sz10|X1=smndt0(sz10))))&stldt0(sbsmnsldt0(xS))=cS2076),inference(fof_simplification,[status(thm)],[27,theory(equality)])).
% fof(49, plain,(((((((((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)))&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)))))),inference(fof_simplification,[status(thm)],[29,theory(equality)])).
% fof(56, negated_conjecture,~(?[X1]:((aInteger0(X1)&~(X1=sz00))&((aSet0(szAzrzSzezqlpdtcmdtrp0(sz10,X1))&![X2]:((aElementOf0(X2,szAzrzSzezqlpdtcmdtrp0(sz10,X1))=>(((aInteger0(X2)&?[X3]:(aInteger0(X3)&sdtasdt0(X1,X3)=sdtpldt0(X2,smndt0(sz10))))&aDivisorOf0(X1,sdtpldt0(X2,smndt0(sz10))))&sdteqdtlpzmzozddtrp0(X2,sz10,X1)))&((aInteger0(X2)&((?[X3]:(aInteger0(X3)&sdtasdt0(X1,X3)=sdtpldt0(X2,smndt0(sz10)))|aDivisorOf0(X1,sdtpldt0(X2,smndt0(sz10))))|sdteqdtlpzmzozddtrp0(X2,sz10,X1)))=>aElementOf0(X2,szAzrzSzezqlpdtcmdtrp0(sz10,X1)))))=>((aSet0(sbsmnsldt0(xS))&![X2]:(aElementOf0(X2,sbsmnsldt0(xS))<=>(aInteger0(X2)&?[X3]:(aElementOf0(X3,xS)&aElementOf0(X2,X3)))))=>(![X2]:(aElementOf0(X2,stldt0(sbsmnsldt0(xS)))<=>(aInteger0(X2)&~(aElementOf0(X2,sbsmnsldt0(xS)))))=>(![X2]:(aElementOf0(X2,szAzrzSzezqlpdtcmdtrp0(sz10,X1))=>aElementOf0(X2,stldt0(sbsmnsldt0(xS))))|aSubsetOf0(szAzrzSzezqlpdtcmdtrp0(sz10,X1),stldt0(sbsmnsldt0(xS))))))))),inference(fof_simplification,[status(thm)],[47,theory(equality)])).
% fof(202, plain,(((((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)))))&aSet0(stldt0(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))))|(X1=sz10|X1=smndt0(sz10)))&((~(X1=sz10)&~(X1=smndt0(sz10)))|aElementOf0(X1,stldt0(sbsmnsldt0(xS))))))&stldt0(sbsmnsldt0(xS))=cS2076),inference(fof_nnf,[status(thm)],[48])).
% fof(203, plain,(((((aSet0(sbsmnsldt0(xS))&![X3]:((~(aElementOf0(X3,sbsmnsldt0(xS)))|(aInteger0(X3)&?[X4]:(aElementOf0(X4,xS)&aElementOf0(X3,X4))))&((~(aInteger0(X3))|![X5]:(~(aElementOf0(X5,xS))|~(aElementOf0(X3,X5))))|aElementOf0(X3,sbsmnsldt0(xS)))))&aSet0(stldt0(sbsmnsldt0(xS))))&![X6]:((~(aElementOf0(X6,stldt0(sbsmnsldt0(xS))))|(aInteger0(X6)&~(aElementOf0(X6,sbsmnsldt0(xS)))))&((~(aInteger0(X6))|aElementOf0(X6,sbsmnsldt0(xS)))|aElementOf0(X6,stldt0(sbsmnsldt0(xS))))))&![X7]:((~(aElementOf0(X7,stldt0(sbsmnsldt0(xS))))|(X7=sz10|X7=smndt0(sz10)))&((~(X7=sz10)&~(X7=smndt0(sz10)))|aElementOf0(X7,stldt0(sbsmnsldt0(xS))))))&stldt0(sbsmnsldt0(xS))=cS2076),inference(variable_rename,[status(thm)],[202])).
% fof(204, plain,(((((aSet0(sbsmnsldt0(xS))&![X3]:((~(aElementOf0(X3,sbsmnsldt0(xS)))|(aInteger0(X3)&(aElementOf0(esk8_1(X3),xS)&aElementOf0(X3,esk8_1(X3)))))&((~(aInteger0(X3))|![X5]:(~(aElementOf0(X5,xS))|~(aElementOf0(X3,X5))))|aElementOf0(X3,sbsmnsldt0(xS)))))&aSet0(stldt0(sbsmnsldt0(xS))))&![X6]:((~(aElementOf0(X6,stldt0(sbsmnsldt0(xS))))|(aInteger0(X6)&~(aElementOf0(X6,sbsmnsldt0(xS)))))&((~(aInteger0(X6))|aElementOf0(X6,sbsmnsldt0(xS)))|aElementOf0(X6,stldt0(sbsmnsldt0(xS))))))&![X7]:((~(aElementOf0(X7,stldt0(sbsmnsldt0(xS))))|(X7=sz10|X7=smndt0(sz10)))&((~(X7=sz10)&~(X7=smndt0(sz10)))|aElementOf0(X7,stldt0(sbsmnsldt0(xS))))))&stldt0(sbsmnsldt0(xS))=cS2076),inference(skolemize,[status(esa)],[203])).
% fof(205, plain,![X3]:![X5]:![X6]:![X7]:((((~(aElementOf0(X7,stldt0(sbsmnsldt0(xS))))|(X7=sz10|X7=smndt0(sz10)))&((~(X7=sz10)&~(X7=smndt0(sz10)))|aElementOf0(X7,stldt0(sbsmnsldt0(xS)))))&(((~(aElementOf0(X6,stldt0(sbsmnsldt0(xS))))|(aInteger0(X6)&~(aElementOf0(X6,sbsmnsldt0(xS)))))&((~(aInteger0(X6))|aElementOf0(X6,sbsmnsldt0(xS)))|aElementOf0(X6,stldt0(sbsmnsldt0(xS)))))&((((((~(aElementOf0(X5,xS))|~(aElementOf0(X3,X5)))|~(aInteger0(X3)))|aElementOf0(X3,sbsmnsldt0(xS)))&(~(aElementOf0(X3,sbsmnsldt0(xS)))|(aInteger0(X3)&(aElementOf0(esk8_1(X3),xS)&aElementOf0(X3,esk8_1(X3))))))&aSet0(sbsmnsldt0(xS)))&aSet0(stldt0(sbsmnsldt0(xS))))))&stldt0(sbsmnsldt0(xS))=cS2076),inference(shift_quantors,[status(thm)],[204])).
% fof(206, plain,![X3]:![X5]:![X6]:![X7]:((((~(aElementOf0(X7,stldt0(sbsmnsldt0(xS))))|(X7=sz10|X7=smndt0(sz10)))&((~(X7=sz10)|aElementOf0(X7,stldt0(sbsmnsldt0(xS))))&(~(X7=smndt0(sz10))|aElementOf0(X7,stldt0(sbsmnsldt0(xS))))))&((((aInteger0(X6)|~(aElementOf0(X6,stldt0(sbsmnsldt0(xS)))))&(~(aElementOf0(X6,sbsmnsldt0(xS)))|~(aElementOf0(X6,stldt0(sbsmnsldt0(xS))))))&((~(aInteger0(X6))|aElementOf0(X6,sbsmnsldt0(xS)))|aElementOf0(X6,stldt0(sbsmnsldt0(xS)))))&((((((~(aElementOf0(X5,xS))|~(aElementOf0(X3,X5)))|~(aInteger0(X3)))|aElementOf0(X3,sbsmnsldt0(xS)))&((aInteger0(X3)|~(aElementOf0(X3,sbsmnsldt0(xS))))&((aElementOf0(esk8_1(X3),xS)|~(aElementOf0(X3,sbsmnsldt0(xS))))&(aElementOf0(X3,esk8_1(X3))|~(aElementOf0(X3,sbsmnsldt0(xS)))))))&aSet0(sbsmnsldt0(xS)))&aSet0(stldt0(sbsmnsldt0(xS))))))&stldt0(sbsmnsldt0(xS))=cS2076),inference(distribute,[status(thm)],[205])).
% cnf(207,plain,(stldt0(sbsmnsldt0(xS))=cS2076),inference(split_conjunct,[status(thm)],[206])).
% cnf(218,plain,(aElementOf0(X1,stldt0(sbsmnsldt0(xS)))|X1!=sz10),inference(split_conjunct,[status(thm)],[206])).
% fof(221, plain,(((((((((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)))&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)))))),inference(fof_nnf,[status(thm)],[49])).
% fof(222, plain,(((((((((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)))&aSet0(sbsmnsldt0(xS)))&![X15]:((~(aElementOf0(X15,sbsmnsldt0(xS)))|(aInteger0(X15)&?[X16]:(aElementOf0(X16,xS)&aElementOf0(X15,X16))))&((~(aInteger0(X15))|![X17]:(~(aElementOf0(X17,xS))|~(aElementOf0(X15,X17))))|aElementOf0(X15,sbsmnsldt0(xS)))))&![X18]:((~(aElementOf0(X18,stldt0(sbsmnsldt0(xS))))|(aInteger0(X18)&~(aElementOf0(X18,sbsmnsldt0(xS)))))&((~(aInteger0(X18))|aElementOf0(X18,sbsmnsldt0(xS)))|aElementOf0(X18,stldt0(sbsmnsldt0(xS))))))&![X19]:(~(aElementOf0(X19,stldt0(sbsmnsldt0(xS))))|?[X20]:(((((aInteger0(X20)&~(X20=sz00))&aSet0(szAzrzSzezqlpdtcmdtrp0(X19,X20)))&![X21]:((~(aElementOf0(X21,szAzrzSzezqlpdtcmdtrp0(X19,X20)))|(((aInteger0(X21)&?[X22]:(aInteger0(X22)&sdtasdt0(X20,X22)=sdtpldt0(X21,smndt0(X19))))&aDivisorOf0(X20,sdtpldt0(X21,smndt0(X19))))&sdteqdtlpzmzozddtrp0(X21,X19,X20)))&((~(aInteger0(X21))|((![X23]:(~(aInteger0(X23))|~(sdtasdt0(X20,X23)=sdtpldt0(X21,smndt0(X19))))&~(aDivisorOf0(X20,sdtpldt0(X21,smndt0(X19)))))&~(sdteqdtlpzmzozddtrp0(X21,X19,X20))))|aElementOf0(X21,szAzrzSzezqlpdtcmdtrp0(X19,X20)))))&![X24]:(~(aElementOf0(X24,szAzrzSzezqlpdtcmdtrp0(X19,X20)))|aElementOf0(X24,stldt0(sbsmnsldt0(xS)))))&aSubsetOf0(szAzrzSzezqlpdtcmdtrp0(X19,X20),stldt0(sbsmnsldt0(xS)))))),inference(variable_rename,[status(thm)],[221])).
% fof(223, plain,(((((((((aSet0(sbsmnsldt0(xS))&![X5]:((~(aElementOf0(X5,sbsmnsldt0(xS)))|(aInteger0(X5)&(aElementOf0(esk9_1(X5),xS)&aElementOf0(X5,esk9_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))))))&![X9]:(~(aElementOf0(X9,stldt0(sbsmnsldt0(xS))))|(((((aInteger0(esk10_1(X9))&~(esk10_1(X9)=sz00))&aSet0(szAzrzSzezqlpdtcmdtrp0(X9,esk10_1(X9))))&![X11]:((~(aElementOf0(X11,szAzrzSzezqlpdtcmdtrp0(X9,esk10_1(X9))))|(((aInteger0(X11)&(aInteger0(esk11_2(X9,X11))&sdtasdt0(esk10_1(X9),esk11_2(X9,X11))=sdtpldt0(X11,smndt0(X9))))&aDivisorOf0(esk10_1(X9),sdtpldt0(X11,smndt0(X9))))&sdteqdtlpzmzozddtrp0(X11,X9,esk10_1(X9))))&((~(aInteger0(X11))|((![X13]:(~(aInteger0(X13))|~(sdtasdt0(esk10_1(X9),X13)=sdtpldt0(X11,smndt0(X9))))&~(aDivisorOf0(esk10_1(X9),sdtpldt0(X11,smndt0(X9)))))&~(sdteqdtlpzmzozddtrp0(X11,X9,esk10_1(X9)))))|aElementOf0(X11,szAzrzSzezqlpdtcmdtrp0(X9,esk10_1(X9))))))&![X14]:(~(aElementOf0(X14,szAzrzSzezqlpdtcmdtrp0(X9,esk10_1(X9))))|aElementOf0(X14,stldt0(sbsmnsldt0(xS)))))&aSubsetOf0(szAzrzSzezqlpdtcmdtrp0(X9,esk10_1(X9)),stldt0(sbsmnsldt0(xS))))))&isOpen0(stldt0(sbsmnsldt0(xS))))&isClosed0(sbsmnsldt0(xS)))&aSet0(sbsmnsldt0(xS)))&![X15]:((~(aElementOf0(X15,sbsmnsldt0(xS)))|(aInteger0(X15)&(aElementOf0(esk12_1(X15),xS)&aElementOf0(X15,esk12_1(X15)))))&((~(aInteger0(X15))|![X17]:(~(aElementOf0(X17,xS))|~(aElementOf0(X15,X17))))|aElementOf0(X15,sbsmnsldt0(xS)))))&![X18]:((~(aElementOf0(X18,stldt0(sbsmnsldt0(xS))))|(aInteger0(X18)&~(aElementOf0(X18,sbsmnsldt0(xS)))))&((~(aInteger0(X18))|aElementOf0(X18,sbsmnsldt0(xS)))|aElementOf0(X18,stldt0(sbsmnsldt0(xS))))))&![X19]:(~(aElementOf0(X19,stldt0(sbsmnsldt0(xS))))|(((((aInteger0(esk13_1(X19))&~(esk13_1(X19)=sz00))&aSet0(szAzrzSzezqlpdtcmdtrp0(X19,esk13_1(X19))))&![X21]:((~(aElementOf0(X21,szAzrzSzezqlpdtcmdtrp0(X19,esk13_1(X19))))|(((aInteger0(X21)&(aInteger0(esk14_2(X19,X21))&sdtasdt0(esk13_1(X19),esk14_2(X19,X21))=sdtpldt0(X21,smndt0(X19))))&aDivisorOf0(esk13_1(X19),sdtpldt0(X21,smndt0(X19))))&sdteqdtlpzmzozddtrp0(X21,X19,esk13_1(X19))))&((~(aInteger0(X21))|((![X23]:(~(aInteger0(X23))|~(sdtasdt0(esk13_1(X19),X23)=sdtpldt0(X21,smndt0(X19))))&~(aDivisorOf0(esk13_1(X19),sdtpldt0(X21,smndt0(X19)))))&~(sdteqdtlpzmzozddtrp0(X21,X19,esk13_1(X19)))))|aElementOf0(X21,szAzrzSzezqlpdtcmdtrp0(X19,esk13_1(X19))))))&![X24]:(~(aElementOf0(X24,szAzrzSzezqlpdtcmdtrp0(X19,esk13_1(X19))))|aElementOf0(X24,stldt0(sbsmnsldt0(xS)))))&aSubsetOf0(szAzrzSzezqlpdtcmdtrp0(X19,esk13_1(X19)),stldt0(sbsmnsldt0(xS)))))),inference(skolemize,[status(esa)],[222])).
% fof(224, plain,![X5]:![X7]:![X8]:![X9]:![X11]:![X13]:![X14]:![X15]:![X17]:![X18]:![X19]:![X21]:![X23]:![X24]:(((((~(aElementOf0(X24,szAzrzSzezqlpdtcmdtrp0(X19,esk13_1(X19))))|aElementOf0(X24,stldt0(sbsmnsldt0(xS))))&(((((((~(aInteger0(X23))|~(sdtasdt0(esk13_1(X19),X23)=sdtpldt0(X21,smndt0(X19))))&~(aDivisorOf0(esk13_1(X19),sdtpldt0(X21,smndt0(X19)))))&~(sdteqdtlpzmzozddtrp0(X21,X19,esk13_1(X19))))|~(aInteger0(X21)))|aElementOf0(X21,szAzrzSzezqlpdtcmdtrp0(X19,esk13_1(X19))))&(~(aElementOf0(X21,szAzrzSzezqlpdtcmdtrp0(X19,esk13_1(X19))))|(((aInteger0(X21)&(aInteger0(esk14_2(X19,X21))&sdtasdt0(esk13_1(X19),esk14_2(X19,X21))=sdtpldt0(X21,smndt0(X19))))&aDivisorOf0(esk13_1(X19),sdtpldt0(X21,smndt0(X19))))&sdteqdtlpzmzozddtrp0(X21,X19,esk13_1(X19)))))&((aInteger0(esk13_1(X19))&~(esk13_1(X19)=sz00))&aSet0(szAzrzSzezqlpdtcmdtrp0(X19,esk13_1(X19))))))&aSubsetOf0(szAzrzSzezqlpdtcmdtrp0(X19,esk13_1(X19)),stldt0(sbsmnsldt0(xS))))|~(aElementOf0(X19,stldt0(sbsmnsldt0(xS)))))&(((~(aElementOf0(X18,stldt0(sbsmnsldt0(xS))))|(aInteger0(X18)&~(aElementOf0(X18,sbsmnsldt0(xS)))))&((~(aInteger0(X18))|aElementOf0(X18,sbsmnsldt0(xS)))|aElementOf0(X18,stldt0(sbsmnsldt0(xS)))))&(((((~(aElementOf0(X17,xS))|~(aElementOf0(X15,X17)))|~(aInteger0(X15)))|aElementOf0(X15,sbsmnsldt0(xS)))&(~(aElementOf0(X15,sbsmnsldt0(xS)))|(aInteger0(X15)&(aElementOf0(esk12_1(X15),xS)&aElementOf0(X15,esk12_1(X15))))))&((((((((~(aElementOf0(X14,szAzrzSzezqlpdtcmdtrp0(X9,esk10_1(X9))))|aElementOf0(X14,stldt0(sbsmnsldt0(xS))))&(((((((~(aInteger0(X13))|~(sdtasdt0(esk10_1(X9),X13)=sdtpldt0(X11,smndt0(X9))))&~(aDivisorOf0(esk10_1(X9),sdtpldt0(X11,smndt0(X9)))))&~(sdteqdtlpzmzozddtrp0(X11,X9,esk10_1(X9))))|~(aInteger0(X11)))|aElementOf0(X11,szAzrzSzezqlpdtcmdtrp0(X9,esk10_1(X9))))&(~(aElementOf0(X11,szAzrzSzezqlpdtcmdtrp0(X9,esk10_1(X9))))|(((aInteger0(X11)&(aInteger0(esk11_2(X9,X11))&sdtasdt0(esk10_1(X9),esk11_2(X9,X11))=sdtpldt0(X11,smndt0(X9))))&aDivisorOf0(esk10_1(X9),sdtpldt0(X11,smndt0(X9))))&sdteqdtlpzmzozddtrp0(X11,X9,esk10_1(X9)))))&((aInteger0(esk10_1(X9))&~(esk10_1(X9)=sz00))&aSet0(szAzrzSzezqlpdtcmdtrp0(X9,esk10_1(X9))))))&aSubsetOf0(szAzrzSzezqlpdtcmdtrp0(X9,esk10_1(X9)),stldt0(sbsmnsldt0(xS))))|~(aElementOf0(X9,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)))))&(((((~(aElementOf0(X7,xS))|~(aElementOf0(X5,X7)))|~(aInteger0(X5)))|aElementOf0(X5,sbsmnsldt0(xS)))&(~(aElementOf0(X5,sbsmnsldt0(xS)))|(aInteger0(X5)&(aElementOf0(esk9_1(X5),xS)&aElementOf0(X5,esk9_1(X5))))))&aSet0(sbsmnsldt0(xS)))))&isOpen0(stldt0(sbsmnsldt0(xS))))&isClosed0(sbsmnsldt0(xS)))&aSet0(sbsmnsldt0(xS)))))),inference(shift_quantors,[status(thm)],[223])).
% fof(225, plain,![X5]:![X7]:![X8]:![X9]:![X11]:![X13]:![X14]:![X15]:![X17]:![X18]:![X19]:![X21]:![X23]:![X24]:(((((~(aElementOf0(X24,szAzrzSzezqlpdtcmdtrp0(X19,esk13_1(X19))))|aElementOf0(X24,stldt0(sbsmnsldt0(xS))))|~(aElementOf0(X19,stldt0(sbsmnsldt0(xS)))))&((((((((~(aInteger0(X23))|~(sdtasdt0(esk13_1(X19),X23)=sdtpldt0(X21,smndt0(X19))))|~(aInteger0(X21)))|aElementOf0(X21,szAzrzSzezqlpdtcmdtrp0(X19,esk13_1(X19))))|~(aElementOf0(X19,stldt0(sbsmnsldt0(xS)))))&(((~(aDivisorOf0(esk13_1(X19),sdtpldt0(X21,smndt0(X19))))|~(aInteger0(X21)))|aElementOf0(X21,szAzrzSzezqlpdtcmdtrp0(X19,esk13_1(X19))))|~(aElementOf0(X19,stldt0(sbsmnsldt0(xS))))))&(((~(sdteqdtlpzmzozddtrp0(X21,X19,esk13_1(X19)))|~(aInteger0(X21)))|aElementOf0(X21,szAzrzSzezqlpdtcmdtrp0(X19,esk13_1(X19))))|~(aElementOf0(X19,stldt0(sbsmnsldt0(xS))))))&(((((aInteger0(X21)|~(aElementOf0(X21,szAzrzSzezqlpdtcmdtrp0(X19,esk13_1(X19)))))|~(aElementOf0(X19,stldt0(sbsmnsldt0(xS)))))&(((aInteger0(esk14_2(X19,X21))|~(aElementOf0(X21,szAzrzSzezqlpdtcmdtrp0(X19,esk13_1(X19)))))|~(aElementOf0(X19,stldt0(sbsmnsldt0(xS)))))&((sdtasdt0(esk13_1(X19),esk14_2(X19,X21))=sdtpldt0(X21,smndt0(X19))|~(aElementOf0(X21,szAzrzSzezqlpdtcmdtrp0(X19,esk13_1(X19)))))|~(aElementOf0(X19,stldt0(sbsmnsldt0(xS)))))))&((aDivisorOf0(esk13_1(X19),sdtpldt0(X21,smndt0(X19)))|~(aElementOf0(X21,szAzrzSzezqlpdtcmdtrp0(X19,esk13_1(X19)))))|~(aElementOf0(X19,stldt0(sbsmnsldt0(xS))))))&((sdteqdtlpzmzozddtrp0(X21,X19,esk13_1(X19))|~(aElementOf0(X21,szAzrzSzezqlpdtcmdtrp0(X19,esk13_1(X19)))))|~(aElementOf0(X19,stldt0(sbsmnsldt0(xS)))))))&(((aInteger0(esk13_1(X19))|~(aElementOf0(X19,stldt0(sbsmnsldt0(xS)))))&(~(esk13_1(X19)=sz00)|~(aElementOf0(X19,stldt0(sbsmnsldt0(xS))))))&(aSet0(szAzrzSzezqlpdtcmdtrp0(X19,esk13_1(X19)))|~(aElementOf0(X19,stldt0(sbsmnsldt0(xS))))))))&(aSubsetOf0(szAzrzSzezqlpdtcmdtrp0(X19,esk13_1(X19)),stldt0(sbsmnsldt0(xS)))|~(aElementOf0(X19,stldt0(sbsmnsldt0(xS))))))&((((aInteger0(X18)|~(aElementOf0(X18,stldt0(sbsmnsldt0(xS)))))&(~(aElementOf0(X18,sbsmnsldt0(xS)))|~(aElementOf0(X18,stldt0(sbsmnsldt0(xS))))))&((~(aInteger0(X18))|aElementOf0(X18,sbsmnsldt0(xS)))|aElementOf0(X18,stldt0(sbsmnsldt0(xS)))))&(((((~(aElementOf0(X17,xS))|~(aElementOf0(X15,X17)))|~(aInteger0(X15)))|aElementOf0(X15,sbsmnsldt0(xS)))&((aInteger0(X15)|~(aElementOf0(X15,sbsmnsldt0(xS))))&((aElementOf0(esk12_1(X15),xS)|~(aElementOf0(X15,sbsmnsldt0(xS))))&(aElementOf0(X15,esk12_1(X15))|~(aElementOf0(X15,sbsmnsldt0(xS)))))))&((((((((~(aElementOf0(X14,szAzrzSzezqlpdtcmdtrp0(X9,esk10_1(X9))))|aElementOf0(X14,stldt0(sbsmnsldt0(xS))))|~(aElementOf0(X9,stldt0(sbsmnsldt0(xS)))))&((((((((~(aInteger0(X13))|~(sdtasdt0(esk10_1(X9),X13)=sdtpldt0(X11,smndt0(X9))))|~(aInteger0(X11)))|aElementOf0(X11,szAzrzSzezqlpdtcmdtrp0(X9,esk10_1(X9))))|~(aElementOf0(X9,stldt0(sbsmnsldt0(xS)))))&(((~(aDivisorOf0(esk10_1(X9),sdtpldt0(X11,smndt0(X9))))|~(aInteger0(X11)))|aElementOf0(X11,szAzrzSzezqlpdtcmdtrp0(X9,esk10_1(X9))))|~(aElementOf0(X9,stldt0(sbsmnsldt0(xS))))))&(((~(sdteqdtlpzmzozddtrp0(X11,X9,esk10_1(X9)))|~(aInteger0(X11)))|aElementOf0(X11,szAzrzSzezqlpdtcmdtrp0(X9,esk10_1(X9))))|~(aElementOf0(X9,stldt0(sbsmnsldt0(xS))))))&(((((aInteger0(X11)|~(aElementOf0(X11,szAzrzSzezqlpdtcmdtrp0(X9,esk10_1(X9)))))|~(aElementOf0(X9,stldt0(sbsmnsldt0(xS)))))&(((aInteger0(esk11_2(X9,X11))|~(aElementOf0(X11,szAzrzSzezqlpdtcmdtrp0(X9,esk10_1(X9)))))|~(aElementOf0(X9,stldt0(sbsmnsldt0(xS)))))&((sdtasdt0(esk10_1(X9),esk11_2(X9,X11))=sdtpldt0(X11,smndt0(X9))|~(aElementOf0(X11,szAzrzSzezqlpdtcmdtrp0(X9,esk10_1(X9)))))|~(aElementOf0(X9,stldt0(sbsmnsldt0(xS)))))))&((aDivisorOf0(esk10_1(X9),sdtpldt0(X11,smndt0(X9)))|~(aElementOf0(X11,szAzrzSzezqlpdtcmdtrp0(X9,esk10_1(X9)))))|~(aElementOf0(X9,stldt0(sbsmnsldt0(xS))))))&((sdteqdtlpzmzozddtrp0(X11,X9,esk10_1(X9))|~(aElementOf0(X11,szAzrzSzezqlpdtcmdtrp0(X9,esk10_1(X9)))))|~(aElementOf0(X9,stldt0(sbsmnsldt0(xS)))))))&(((aInteger0(esk10_1(X9))|~(aElementOf0(X9,stldt0(sbsmnsldt0(xS)))))&(~(esk10_1(X9)=sz00)|~(aElementOf0(X9,stldt0(sbsmnsldt0(xS))))))&(aSet0(szAzrzSzezqlpdtcmdtrp0(X9,esk10_1(X9)))|~(aElementOf0(X9,stldt0(sbsmnsldt0(xS))))))))&(aSubsetOf0(szAzrzSzezqlpdtcmdtrp0(X9,esk10_1(X9)),stldt0(sbsmnsldt0(xS)))|~(aElementOf0(X9,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)))))&(((((~(aElementOf0(X7,xS))|~(aElementOf0(X5,X7)))|~(aInteger0(X5)))|aElementOf0(X5,sbsmnsldt0(xS)))&((aInteger0(X5)|~(aElementOf0(X5,sbsmnsldt0(xS))))&((aElementOf0(esk9_1(X5),xS)|~(aElementOf0(X5,sbsmnsldt0(xS))))&(aElementOf0(X5,esk9_1(X5))|~(aElementOf0(X5,sbsmnsldt0(xS)))))))&aSet0(sbsmnsldt0(xS)))))&isOpen0(stldt0(sbsmnsldt0(xS))))&isClosed0(sbsmnsldt0(xS)))&aSet0(sbsmnsldt0(xS)))))),inference(distribute,[status(thm)],[224])).
% cnf(237,plain,(aSubsetOf0(szAzrzSzezqlpdtcmdtrp0(X1,esk10_1(X1)),stldt0(sbsmnsldt0(xS)))|~aElementOf0(X1,stldt0(sbsmnsldt0(xS)))),inference(split_conjunct,[status(thm)],[225])).
% cnf(239,plain,(~aElementOf0(X1,stldt0(sbsmnsldt0(xS)))|esk10_1(X1)!=sz00),inference(split_conjunct,[status(thm)],[225])).
% cnf(240,plain,(aInteger0(esk10_1(X1))|~aElementOf0(X1,stldt0(sbsmnsldt0(xS)))),inference(split_conjunct,[status(thm)],[225])).
% fof(383, negated_conjecture,![X1]:((~(aInteger0(X1))|X1=sz00)|((aSet0(szAzrzSzezqlpdtcmdtrp0(sz10,X1))&![X2]:((~(aElementOf0(X2,szAzrzSzezqlpdtcmdtrp0(sz10,X1)))|(((aInteger0(X2)&?[X3]:(aInteger0(X3)&sdtasdt0(X1,X3)=sdtpldt0(X2,smndt0(sz10))))&aDivisorOf0(X1,sdtpldt0(X2,smndt0(sz10))))&sdteqdtlpzmzozddtrp0(X2,sz10,X1)))&((~(aInteger0(X2))|((![X3]:(~(aInteger0(X3))|~(sdtasdt0(X1,X3)=sdtpldt0(X2,smndt0(sz10))))&~(aDivisorOf0(X1,sdtpldt0(X2,smndt0(sz10)))))&~(sdteqdtlpzmzozddtrp0(X2,sz10,X1))))|aElementOf0(X2,szAzrzSzezqlpdtcmdtrp0(sz10,X1)))))&((aSet0(sbsmnsldt0(xS))&![X2]:((~(aElementOf0(X2,sbsmnsldt0(xS)))|(aInteger0(X2)&?[X3]:(aElementOf0(X3,xS)&aElementOf0(X2,X3))))&((~(aInteger0(X2))|![X3]:(~(aElementOf0(X3,xS))|~(aElementOf0(X2,X3))))|aElementOf0(X2,sbsmnsldt0(xS)))))&(![X2]:((~(aElementOf0(X2,stldt0(sbsmnsldt0(xS))))|(aInteger0(X2)&~(aElementOf0(X2,sbsmnsldt0(xS)))))&((~(aInteger0(X2))|aElementOf0(X2,sbsmnsldt0(xS)))|aElementOf0(X2,stldt0(sbsmnsldt0(xS)))))&(?[X2]:(aElementOf0(X2,szAzrzSzezqlpdtcmdtrp0(sz10,X1))&~(aElementOf0(X2,stldt0(sbsmnsldt0(xS)))))&~(aSubsetOf0(szAzrzSzezqlpdtcmdtrp0(sz10,X1),stldt0(sbsmnsldt0(xS))))))))),inference(fof_nnf,[status(thm)],[56])).
% fof(384, negated_conjecture,![X4]:((~(aInteger0(X4))|X4=sz00)|((aSet0(szAzrzSzezqlpdtcmdtrp0(sz10,X4))&![X5]:((~(aElementOf0(X5,szAzrzSzezqlpdtcmdtrp0(sz10,X4)))|(((aInteger0(X5)&?[X6]:(aInteger0(X6)&sdtasdt0(X4,X6)=sdtpldt0(X5,smndt0(sz10))))&aDivisorOf0(X4,sdtpldt0(X5,smndt0(sz10))))&sdteqdtlpzmzozddtrp0(X5,sz10,X4)))&((~(aInteger0(X5))|((![X7]:(~(aInteger0(X7))|~(sdtasdt0(X4,X7)=sdtpldt0(X5,smndt0(sz10))))&~(aDivisorOf0(X4,sdtpldt0(X5,smndt0(sz10)))))&~(sdteqdtlpzmzozddtrp0(X5,sz10,X4))))|aElementOf0(X5,szAzrzSzezqlpdtcmdtrp0(sz10,X4)))))&((aSet0(sbsmnsldt0(xS))&![X8]:((~(aElementOf0(X8,sbsmnsldt0(xS)))|(aInteger0(X8)&?[X9]:(aElementOf0(X9,xS)&aElementOf0(X8,X9))))&((~(aInteger0(X8))|![X10]:(~(aElementOf0(X10,xS))|~(aElementOf0(X8,X10))))|aElementOf0(X8,sbsmnsldt0(xS)))))&(![X11]:((~(aElementOf0(X11,stldt0(sbsmnsldt0(xS))))|(aInteger0(X11)&~(aElementOf0(X11,sbsmnsldt0(xS)))))&((~(aInteger0(X11))|aElementOf0(X11,sbsmnsldt0(xS)))|aElementOf0(X11,stldt0(sbsmnsldt0(xS)))))&(?[X12]:(aElementOf0(X12,szAzrzSzezqlpdtcmdtrp0(sz10,X4))&~(aElementOf0(X12,stldt0(sbsmnsldt0(xS)))))&~(aSubsetOf0(szAzrzSzezqlpdtcmdtrp0(sz10,X4),stldt0(sbsmnsldt0(xS))))))))),inference(variable_rename,[status(thm)],[383])).
% fof(385, negated_conjecture,![X4]:((~(aInteger0(X4))|X4=sz00)|((aSet0(szAzrzSzezqlpdtcmdtrp0(sz10,X4))&![X5]:((~(aElementOf0(X5,szAzrzSzezqlpdtcmdtrp0(sz10,X4)))|(((aInteger0(X5)&(aInteger0(esk26_2(X4,X5))&sdtasdt0(X4,esk26_2(X4,X5))=sdtpldt0(X5,smndt0(sz10))))&aDivisorOf0(X4,sdtpldt0(X5,smndt0(sz10))))&sdteqdtlpzmzozddtrp0(X5,sz10,X4)))&((~(aInteger0(X5))|((![X7]:(~(aInteger0(X7))|~(sdtasdt0(X4,X7)=sdtpldt0(X5,smndt0(sz10))))&~(aDivisorOf0(X4,sdtpldt0(X5,smndt0(sz10)))))&~(sdteqdtlpzmzozddtrp0(X5,sz10,X4))))|aElementOf0(X5,szAzrzSzezqlpdtcmdtrp0(sz10,X4)))))&((aSet0(sbsmnsldt0(xS))&![X8]:((~(aElementOf0(X8,sbsmnsldt0(xS)))|(aInteger0(X8)&(aElementOf0(esk27_2(X4,X8),xS)&aElementOf0(X8,esk27_2(X4,X8)))))&((~(aInteger0(X8))|![X10]:(~(aElementOf0(X10,xS))|~(aElementOf0(X8,X10))))|aElementOf0(X8,sbsmnsldt0(xS)))))&(![X11]:((~(aElementOf0(X11,stldt0(sbsmnsldt0(xS))))|(aInteger0(X11)&~(aElementOf0(X11,sbsmnsldt0(xS)))))&((~(aInteger0(X11))|aElementOf0(X11,sbsmnsldt0(xS)))|aElementOf0(X11,stldt0(sbsmnsldt0(xS)))))&((aElementOf0(esk28_1(X4),szAzrzSzezqlpdtcmdtrp0(sz10,X4))&~(aElementOf0(esk28_1(X4),stldt0(sbsmnsldt0(xS)))))&~(aSubsetOf0(szAzrzSzezqlpdtcmdtrp0(sz10,X4),stldt0(sbsmnsldt0(xS))))))))),inference(skolemize,[status(esa)],[384])).
% fof(386, negated_conjecture,![X4]:![X5]:![X7]:![X8]:![X10]:![X11]:((((((~(aElementOf0(X11,stldt0(sbsmnsldt0(xS))))|(aInteger0(X11)&~(aElementOf0(X11,sbsmnsldt0(xS)))))&((~(aInteger0(X11))|aElementOf0(X11,sbsmnsldt0(xS)))|aElementOf0(X11,stldt0(sbsmnsldt0(xS)))))&((aElementOf0(esk28_1(X4),szAzrzSzezqlpdtcmdtrp0(sz10,X4))&~(aElementOf0(esk28_1(X4),stldt0(sbsmnsldt0(xS)))))&~(aSubsetOf0(szAzrzSzezqlpdtcmdtrp0(sz10,X4),stldt0(sbsmnsldt0(xS))))))&(((((~(aElementOf0(X10,xS))|~(aElementOf0(X8,X10)))|~(aInteger0(X8)))|aElementOf0(X8,sbsmnsldt0(xS)))&(~(aElementOf0(X8,sbsmnsldt0(xS)))|(aInteger0(X8)&(aElementOf0(esk27_2(X4,X8),xS)&aElementOf0(X8,esk27_2(X4,X8))))))&aSet0(sbsmnsldt0(xS))))&(((((((~(aInteger0(X7))|~(sdtasdt0(X4,X7)=sdtpldt0(X5,smndt0(sz10))))&~(aDivisorOf0(X4,sdtpldt0(X5,smndt0(sz10)))))&~(sdteqdtlpzmzozddtrp0(X5,sz10,X4)))|~(aInteger0(X5)))|aElementOf0(X5,szAzrzSzezqlpdtcmdtrp0(sz10,X4)))&(~(aElementOf0(X5,szAzrzSzezqlpdtcmdtrp0(sz10,X4)))|(((aInteger0(X5)&(aInteger0(esk26_2(X4,X5))&sdtasdt0(X4,esk26_2(X4,X5))=sdtpldt0(X5,smndt0(sz10))))&aDivisorOf0(X4,sdtpldt0(X5,smndt0(sz10))))&sdteqdtlpzmzozddtrp0(X5,sz10,X4))))&aSet0(szAzrzSzezqlpdtcmdtrp0(sz10,X4))))|(~(aInteger0(X4))|X4=sz00)),inference(shift_quantors,[status(thm)],[385])).
% fof(387, negated_conjecture,![X4]:![X5]:![X7]:![X8]:![X10]:![X11]:(((((((aInteger0(X11)|~(aElementOf0(X11,stldt0(sbsmnsldt0(xS)))))|(~(aInteger0(X4))|X4=sz00))&((~(aElementOf0(X11,sbsmnsldt0(xS)))|~(aElementOf0(X11,stldt0(sbsmnsldt0(xS)))))|(~(aInteger0(X4))|X4=sz00)))&(((~(aInteger0(X11))|aElementOf0(X11,sbsmnsldt0(xS)))|aElementOf0(X11,stldt0(sbsmnsldt0(xS))))|(~(aInteger0(X4))|X4=sz00)))&(((aElementOf0(esk28_1(X4),szAzrzSzezqlpdtcmdtrp0(sz10,X4))|(~(aInteger0(X4))|X4=sz00))&(~(aElementOf0(esk28_1(X4),stldt0(sbsmnsldt0(xS))))|(~(aInteger0(X4))|X4=sz00)))&(~(aSubsetOf0(szAzrzSzezqlpdtcmdtrp0(sz10,X4),stldt0(sbsmnsldt0(xS))))|(~(aInteger0(X4))|X4=sz00))))&((((((~(aElementOf0(X10,xS))|~(aElementOf0(X8,X10)))|~(aInteger0(X8)))|aElementOf0(X8,sbsmnsldt0(xS)))|(~(aInteger0(X4))|X4=sz00))&(((aInteger0(X8)|~(aElementOf0(X8,sbsmnsldt0(xS))))|(~(aInteger0(X4))|X4=sz00))&(((aElementOf0(esk27_2(X4,X8),xS)|~(aElementOf0(X8,sbsmnsldt0(xS))))|(~(aInteger0(X4))|X4=sz00))&((aElementOf0(X8,esk27_2(X4,X8))|~(aElementOf0(X8,sbsmnsldt0(xS))))|(~(aInteger0(X4))|X4=sz00)))))&(aSet0(sbsmnsldt0(xS))|(~(aInteger0(X4))|X4=sz00))))&((((((((~(aInteger0(X7))|~(sdtasdt0(X4,X7)=sdtpldt0(X5,smndt0(sz10))))|~(aInteger0(X5)))|aElementOf0(X5,szAzrzSzezqlpdtcmdtrp0(sz10,X4)))|(~(aInteger0(X4))|X4=sz00))&(((~(aDivisorOf0(X4,sdtpldt0(X5,smndt0(sz10))))|~(aInteger0(X5)))|aElementOf0(X5,szAzrzSzezqlpdtcmdtrp0(sz10,X4)))|(~(aInteger0(X4))|X4=sz00)))&(((~(sdteqdtlpzmzozddtrp0(X5,sz10,X4))|~(aInteger0(X5)))|aElementOf0(X5,szAzrzSzezqlpdtcmdtrp0(sz10,X4)))|(~(aInteger0(X4))|X4=sz00)))&(((((aInteger0(X5)|~(aElementOf0(X5,szAzrzSzezqlpdtcmdtrp0(sz10,X4))))|(~(aInteger0(X4))|X4=sz00))&(((aInteger0(esk26_2(X4,X5))|~(aElementOf0(X5,szAzrzSzezqlpdtcmdtrp0(sz10,X4))))|(~(aInteger0(X4))|X4=sz00))&((sdtasdt0(X4,esk26_2(X4,X5))=sdtpldt0(X5,smndt0(sz10))|~(aElementOf0(X5,szAzrzSzezqlpdtcmdtrp0(sz10,X4))))|(~(aInteger0(X4))|X4=sz00))))&((aDivisorOf0(X4,sdtpldt0(X5,smndt0(sz10)))|~(aElementOf0(X5,szAzrzSzezqlpdtcmdtrp0(sz10,X4))))|(~(aInteger0(X4))|X4=sz00)))&((sdteqdtlpzmzozddtrp0(X5,sz10,X4)|~(aElementOf0(X5,szAzrzSzezqlpdtcmdtrp0(sz10,X4))))|(~(aInteger0(X4))|X4=sz00))))&(aSet0(szAzrzSzezqlpdtcmdtrp0(sz10,X4))|(~(aInteger0(X4))|X4=sz00)))),inference(distribute,[status(thm)],[386])).
% cnf(402,negated_conjecture,(X1=sz00|~aInteger0(X1)|~aSubsetOf0(szAzrzSzezqlpdtcmdtrp0(sz10,X1),stldt0(sbsmnsldt0(xS)))),inference(split_conjunct,[status(thm)],[387])).
% cnf(417,plain,(aElementOf0(X1,cS2076)|sz10!=X1),inference(rw,[status(thm)],[218,207,theory(equality)])).
% cnf(418,plain,(aElementOf0(sz10,cS2076)),inference(er,[status(thm)],[417,theory(equality)])).
% cnf(462,plain,(aInteger0(esk10_1(X1))|~aElementOf0(X1,cS2076)),inference(rw,[status(thm)],[240,207,theory(equality)])).
% cnf(531,plain,(esk10_1(X1)!=sz00|~aElementOf0(X1,cS2076)),inference(rw,[status(thm)],[239,207,theory(equality)])).
% cnf(595,negated_conjecture,(sz00=X1|~aInteger0(X1)|~aSubsetOf0(szAzrzSzezqlpdtcmdtrp0(sz10,X1),cS2076)),inference(rw,[status(thm)],[402,207,theory(equality)])).
% cnf(800,plain,(aSubsetOf0(szAzrzSzezqlpdtcmdtrp0(X1,esk10_1(X1)),cS2076)|~aElementOf0(X1,stldt0(sbsmnsldt0(xS)))),inference(rw,[status(thm)],[237,207,theory(equality)])).
% cnf(801,plain,(aSubsetOf0(szAzrzSzezqlpdtcmdtrp0(X1,esk10_1(X1)),cS2076)|~aElementOf0(X1,cS2076)),inference(rw,[status(thm)],[800,207,theory(equality)])).
% cnf(1719,plain,(aInteger0(esk10_1(sz10))),inference(spm,[status(thm)],[462,418,theory(equality)])).
% cnf(1724,plain,(aSubsetOf0(szAzrzSzezqlpdtcmdtrp0(sz10,esk10_1(sz10)),cS2076)),inference(spm,[status(thm)],[801,418,theory(equality)])).
% cnf(2078,negated_conjecture,(sz00=esk10_1(sz10)|~aInteger0(esk10_1(sz10))),inference(spm,[status(thm)],[595,1724,theory(equality)])).
% cnf(2084,negated_conjecture,(sz00=esk10_1(sz10)|$false),inference(rw,[status(thm)],[2078,1719,theory(equality)])).
% cnf(2085,negated_conjecture,(sz00=esk10_1(sz10)),inference(cn,[status(thm)],[2084,theory(equality)])).
% cnf(2086,negated_conjecture,(~aElementOf0(sz10,cS2076)),inference(spm,[status(thm)],[531,2085,theory(equality)])).
% cnf(2097,negated_conjecture,($false),inference(rw,[status(thm)],[2086,418,theory(equality)])).
% cnf(2098,negated_conjecture,($false),inference(cn,[status(thm)],[2097,theory(equality)])).
% cnf(2099,negated_conjecture,($false),2098,['proof']).
% # SZS output end CNFRefutation
% # Processed clauses : 277
% # ...of these trivial : 7
% # ...subsumed : 23
% # ...remaining for further processing: 247
% # Other redundant clauses eliminated : 2
% # Clauses deleted for lack of memory : 0
% # Backward-subsumed : 1
% # Backward-rewritten : 14
% # Generated clauses : 819
% # ...of the previous two non-trivial : 778
% # Contextual simplify-reflections : 10
% # Paramodulations : 782
% # Factorizations : 0
% # Equation resolutions : 37
% # Current number of processed clauses: 232
% # Positive orientable unit clauses: 22
% # Positive unorientable unit clauses: 0
% # Negative unit clauses : 2
% # Non-unit-clauses : 208
% # Current number of unprocessed clauses: 650
% # ...number of literals in the above : 3383
% # Clause-clause subsumption calls (NU) : 1025
% # Rec. Clause-clause subsumption calls : 389
% # Unit Clause-clause subsumption calls : 18
% # Rewrite failures with RHS unbound : 0
% # Indexed BW rewrite attempts : 2
% # Indexed BW rewrite successes : 2
% # Backwards rewriting index: 255 leaves, 1.42+/-1.085 terms/leaf
% # Paramod-from index: 66 leaves, 1.05+/-0.208 terms/leaf
% # Paramod-into index: 147 leaves, 1.27+/-0.673 terms/leaf
% # -------------------------------------------------
% # User time : 0.080 s
% # System time : 0.009 s
% # Total time : 0.089 s
% # Maximum resident set size: 0 pages
% PrfWatch: 0.22 CPU 0.30 WC
% FINAL PrfWatch: 0.22 CPU 0.30 WC
% SZS output end Solution for /tmp/SystemOnTPTP16435/NUM450+6.tptp
%
%------------------------------------------------------------------------------