TSTP Solution File: NUM579+3 by SRASS---0.1
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- Process Solution
%------------------------------------------------------------------------------
% File : SRASS---0.1
% Problem : NUM579+3 : TPTP v5.0.0. Released v4.0.0.
% Transfm : none
% Format : tptp
% Command : SRASS -q2 -a 0 10 10 10 -i3 -n60 %s
% Computer : art09.cs.miami.edu
% Model : i686 i686
% CPU : Intel(R) Pentium(R) 4 CPU 2.80GHz @ 2793MHz
% Memory : 2018MB
% OS : Linux 2.6.26.8-57.fc8
% CPULimit : 300s
% DateTime : Wed Dec 29 20:17:08 EST 2010
% Result : Theorem 16.06s
% Output : Solution 16.06s
% 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/SystemOnTPTP9137/NUM579+3.tptp
% Adding relevance values
% Extracting the conjecture
% Sorting axioms by relevance
% Looking for THM ...
% found
% SZS status THM for /tmp/SystemOnTPTP9137/NUM579+3.tptp
% SZS output start Solution for /tmp/SystemOnTPTP9137/NUM579+3.tptp
% TreeLimitedRun: ----------------------------------------------------------
% TreeLimitedRun: /home/graph/tptp/Systems/EP---1.2/eproof --print-statistics -xAuto -tAuto --cpu-limit=60 --proof-time-unlimited --memory-limit=Auto --tstp-in --tstp-out /tmp/SRASS.s.p
% TreeLimitedRun: CPU time limit is 60s
% TreeLimitedRun: WC time limit is 120s
% TreeLimitedRun: PID is 9233
% TreeLimitedRun: ----------------------------------------------------------
% PrfWatch: 0.00 CPU 0.01 WC
% PrfWatch: 1.93 CPU 2.01 WC
% PrfWatch: 3.92 CPU 4.02 WC
% PrfWatch: 5.91 CPU 6.02 WC
% PrfWatch: 7.90 CPU 8.03 WC
% PrfWatch: 9.90 CPU 10.03 WC
% # Preprocessing time : 0.537 s
% # Problem is unsatisfiable (or provable), constructing proof object
% # SZS status Theorem
% PrfWatch: 11.90 CPU 12.04 WC
% PrfWatch: 13.89 CPU 14.04 WC
% # SZS output start CNFRefutation.
% fof(1, axiom,![X1]:(aSet0(X1)=>![X2]:(aElementOf0(X2,X1)=>aElement0(X2))),file('/tmp/SRASS.s.p', mEOfElem)).
% fof(3, axiom,![X1]:(aSet0(X1)=>![X2]:(aSubsetOf0(X2,X1)<=>(aSet0(X2)&![X3]:(aElementOf0(X3,X2)=>aElementOf0(X3,X1))))),file('/tmp/SRASS.s.p', mDefSub)).
% fof(16, axiom,(aSet0(szNzAzT0)&isCountable0(szNzAzT0)),file('/tmp/SRASS.s.p', mNATSet)).
% fof(17, axiom,aElementOf0(sz00,szNzAzT0),file('/tmp/SRASS.s.p', mZeroNum)).
% fof(22, axiom,![X1]:(aElementOf0(X1,szNzAzT0)=>sdtlseqdt0(sz00,X1)),file('/tmp/SRASS.s.p', mZeroLess)).
% fof(32, axiom,![X1]:(aSet0(X1)=>(aElementOf0(sbrdtbr0(X1),szNzAzT0)<=>isFinite0(X1))),file('/tmp/SRASS.s.p', mCardNum)).
% fof(33, axiom,![X1]:((aSet0(X1)&isFinite0(X1))=>![X2]:(aElement0(X2)=>(~(aElementOf0(X2,X1))=>sbrdtbr0(sdtpldt0(X1,X2))=szszuzczcdt0(sbrdtbr0(X1))))),file('/tmp/SRASS.s.p', mCardCons)).
% fof(48, axiom,(((aSet0(xS)&![X1]:(aElementOf0(X1,xS)=>aElementOf0(X1,szNzAzT0)))&aSubsetOf0(xS,szNzAzT0))&isCountable0(xS)),file('/tmp/SRASS.s.p', m__3435)).
% fof(53, axiom,(aElementOf0(xk,szNzAzT0)&szszuzczcdt0(xk)=xK),file('/tmp/SRASS.s.p', m__3533)).
% fof(54, axiom,(((aFunction0(xN)&szDzozmdt0(xN)=szNzAzT0)&sdtlpdtrp0(xN,sz00)=xS)&![X1]:(aElementOf0(X1,szNzAzT0)=>((((aSet0(sdtlpdtrp0(xN,X1))&![X2]:(aElementOf0(X2,sdtlpdtrp0(xN,X1))=>aElementOf0(X2,szNzAzT0)))|aSubsetOf0(sdtlpdtrp0(xN,X1),szNzAzT0))&isCountable0(sdtlpdtrp0(xN,X1)))=>(((((((aElementOf0(szmzizndt0(sdtlpdtrp0(xN,X1)),sdtlpdtrp0(xN,X1))&![X2]:(aElementOf0(X2,sdtlpdtrp0(xN,X1))=>sdtlseqdt0(szmzizndt0(sdtlpdtrp0(xN,X1)),X2)))&aSet0(sdtmndt0(sdtlpdtrp0(xN,X1),szmzizndt0(sdtlpdtrp0(xN,X1)))))&![X2]:(aElementOf0(X2,sdtmndt0(sdtlpdtrp0(xN,X1),szmzizndt0(sdtlpdtrp0(xN,X1))))<=>((aElement0(X2)&aElementOf0(X2,sdtlpdtrp0(xN,X1)))&~(X2=szmzizndt0(sdtlpdtrp0(xN,X1))))))&aSet0(sdtlpdtrp0(xN,szszuzczcdt0(X1))))&![X2]:(aElementOf0(X2,sdtlpdtrp0(xN,szszuzczcdt0(X1)))=>aElementOf0(X2,sdtmndt0(sdtlpdtrp0(xN,X1),szmzizndt0(sdtlpdtrp0(xN,X1))))))&aSubsetOf0(sdtlpdtrp0(xN,szszuzczcdt0(X1)),sdtmndt0(sdtlpdtrp0(xN,X1),szmzizndt0(sdtlpdtrp0(xN,X1)))))&isCountable0(sdtlpdtrp0(xN,szszuzczcdt0(X1))))))),file('/tmp/SRASS.s.p', m__3623)).
% fof(55, axiom,![X1]:(aElementOf0(X1,szNzAzT0)=>(((aSet0(sdtlpdtrp0(xN,X1))&![X2]:(aElementOf0(X2,sdtlpdtrp0(xN,X1))=>aElementOf0(X2,szNzAzT0)))&aSubsetOf0(sdtlpdtrp0(xN,X1),szNzAzT0))&isCountable0(sdtlpdtrp0(xN,X1)))),file('/tmp/SRASS.s.p', m__3671)).
% fof(56, axiom,![X1]:![X2]:((aElementOf0(X1,szNzAzT0)&aElementOf0(X2,szNzAzT0))=>(sdtlseqdt0(X2,X1)=>(![X3]:(aElementOf0(X3,sdtlpdtrp0(xN,X1))=>aElementOf0(X3,sdtlpdtrp0(xN,X2)))&aSubsetOf0(sdtlpdtrp0(xN,X1),sdtlpdtrp0(xN,X2))))),file('/tmp/SRASS.s.p', m__3754)).
% fof(85, conjecture,![X1]:(aElementOf0(X1,szNzAzT0)=>![X2]:(((((((((aSet0(X2)&aElementOf0(szmzizndt0(sdtlpdtrp0(xN,X1)),sdtlpdtrp0(xN,X1)))&![X3]:(aElementOf0(X3,sdtlpdtrp0(xN,X1))=>sdtlseqdt0(szmzizndt0(sdtlpdtrp0(xN,X1)),X3)))&aSet0(sdtmndt0(sdtlpdtrp0(xN,X1),szmzizndt0(sdtlpdtrp0(xN,X1)))))&![X3]:(aElementOf0(X3,sdtmndt0(sdtlpdtrp0(xN,X1),szmzizndt0(sdtlpdtrp0(xN,X1))))<=>((aElement0(X3)&aElementOf0(X3,sdtlpdtrp0(xN,X1)))&~(X3=szmzizndt0(sdtlpdtrp0(xN,X1))))))&![X3]:(aElementOf0(X3,X2)=>aElementOf0(X3,sdtmndt0(sdtlpdtrp0(xN,X1),szmzizndt0(sdtlpdtrp0(xN,X1))))))&aSubsetOf0(X2,sdtmndt0(sdtlpdtrp0(xN,X1),szmzizndt0(sdtlpdtrp0(xN,X1)))))&sbrdtbr0(X2)=xk)&aElementOf0(X2,slbdtsldtrb0(sdtmndt0(sdtlpdtrp0(xN,X1),szmzizndt0(sdtlpdtrp0(xN,X1))),xk)))=>((aElementOf0(szmzizndt0(sdtlpdtrp0(xN,X1)),sdtlpdtrp0(xN,X1))&![X3]:(aElementOf0(X3,sdtlpdtrp0(xN,X1))=>sdtlseqdt0(szmzizndt0(sdtlpdtrp0(xN,X1)),X3)))=>((aSet0(sdtpldt0(X2,szmzizndt0(sdtlpdtrp0(xN,X1))))&![X3]:(aElementOf0(X3,sdtpldt0(X2,szmzizndt0(sdtlpdtrp0(xN,X1))))<=>(aElement0(X3)&(aElementOf0(X3,X2)|X3=szmzizndt0(sdtlpdtrp0(xN,X1))))))=>(((![X3]:(aElementOf0(X3,sdtpldt0(X2,szmzizndt0(sdtlpdtrp0(xN,X1))))=>aElementOf0(X3,xS))|aSubsetOf0(sdtpldt0(X2,szmzizndt0(sdtlpdtrp0(xN,X1))),xS))&sbrdtbr0(sdtpldt0(X2,szmzizndt0(sdtlpdtrp0(xN,X1))))=xK)|aElementOf0(sdtpldt0(X2,szmzizndt0(sdtlpdtrp0(xN,X1))),slbdtsldtrb0(xS,xK))))))),file('/tmp/SRASS.s.p', m__)).
% fof(86, negated_conjecture,~(![X1]:(aElementOf0(X1,szNzAzT0)=>![X2]:(((((((((aSet0(X2)&aElementOf0(szmzizndt0(sdtlpdtrp0(xN,X1)),sdtlpdtrp0(xN,X1)))&![X3]:(aElementOf0(X3,sdtlpdtrp0(xN,X1))=>sdtlseqdt0(szmzizndt0(sdtlpdtrp0(xN,X1)),X3)))&aSet0(sdtmndt0(sdtlpdtrp0(xN,X1),szmzizndt0(sdtlpdtrp0(xN,X1)))))&![X3]:(aElementOf0(X3,sdtmndt0(sdtlpdtrp0(xN,X1),szmzizndt0(sdtlpdtrp0(xN,X1))))<=>((aElement0(X3)&aElementOf0(X3,sdtlpdtrp0(xN,X1)))&~(X3=szmzizndt0(sdtlpdtrp0(xN,X1))))))&![X3]:(aElementOf0(X3,X2)=>aElementOf0(X3,sdtmndt0(sdtlpdtrp0(xN,X1),szmzizndt0(sdtlpdtrp0(xN,X1))))))&aSubsetOf0(X2,sdtmndt0(sdtlpdtrp0(xN,X1),szmzizndt0(sdtlpdtrp0(xN,X1)))))&sbrdtbr0(X2)=xk)&aElementOf0(X2,slbdtsldtrb0(sdtmndt0(sdtlpdtrp0(xN,X1),szmzizndt0(sdtlpdtrp0(xN,X1))),xk)))=>((aElementOf0(szmzizndt0(sdtlpdtrp0(xN,X1)),sdtlpdtrp0(xN,X1))&![X3]:(aElementOf0(X3,sdtlpdtrp0(xN,X1))=>sdtlseqdt0(szmzizndt0(sdtlpdtrp0(xN,X1)),X3)))=>((aSet0(sdtpldt0(X2,szmzizndt0(sdtlpdtrp0(xN,X1))))&![X3]:(aElementOf0(X3,sdtpldt0(X2,szmzizndt0(sdtlpdtrp0(xN,X1))))<=>(aElement0(X3)&(aElementOf0(X3,X2)|X3=szmzizndt0(sdtlpdtrp0(xN,X1))))))=>(((![X3]:(aElementOf0(X3,sdtpldt0(X2,szmzizndt0(sdtlpdtrp0(xN,X1))))=>aElementOf0(X3,xS))|aSubsetOf0(sdtpldt0(X2,szmzizndt0(sdtlpdtrp0(xN,X1))),xS))&sbrdtbr0(sdtpldt0(X2,szmzizndt0(sdtlpdtrp0(xN,X1))))=xK)|aElementOf0(sdtpldt0(X2,szmzizndt0(sdtlpdtrp0(xN,X1))),slbdtsldtrb0(xS,xK)))))))),inference(assume_negation,[status(cth)],[85])).
% fof(90, plain,![X1]:((aSet0(X1)&isFinite0(X1))=>![X2]:(aElement0(X2)=>(~(aElementOf0(X2,X1))=>sbrdtbr0(sdtpldt0(X1,X2))=szszuzczcdt0(sbrdtbr0(X1))))),inference(fof_simplification,[status(thm)],[33,theory(equality)])).
% fof(99, plain,![X1]:(~(aSet0(X1))|![X2]:(~(aElementOf0(X2,X1))|aElement0(X2))),inference(fof_nnf,[status(thm)],[1])).
% fof(100, plain,![X3]:(~(aSet0(X3))|![X4]:(~(aElementOf0(X4,X3))|aElement0(X4))),inference(variable_rename,[status(thm)],[99])).
% fof(101, plain,![X3]:![X4]:((~(aElementOf0(X4,X3))|aElement0(X4))|~(aSet0(X3))),inference(shift_quantors,[status(thm)],[100])).
% cnf(102,plain,(aElement0(X2)|~aSet0(X1)|~aElementOf0(X2,X1)),inference(split_conjunct,[status(thm)],[101])).
% fof(106, 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)],[3])).
% fof(107, 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)],[106])).
% fof(108, plain,![X4]:(~(aSet0(X4))|![X5]:((~(aSubsetOf0(X5,X4))|(aSet0(X5)&![X6]:(~(aElementOf0(X6,X5))|aElementOf0(X6,X4))))&((~(aSet0(X5))|(aElementOf0(esk1_2(X4,X5),X5)&~(aElementOf0(esk1_2(X4,X5),X4))))|aSubsetOf0(X5,X4)))),inference(skolemize,[status(esa)],[107])).
% fof(109, plain,![X4]:![X5]:![X6]:(((((~(aElementOf0(X6,X5))|aElementOf0(X6,X4))&aSet0(X5))|~(aSubsetOf0(X5,X4)))&((~(aSet0(X5))|(aElementOf0(esk1_2(X4,X5),X5)&~(aElementOf0(esk1_2(X4,X5),X4))))|aSubsetOf0(X5,X4)))|~(aSet0(X4))),inference(shift_quantors,[status(thm)],[108])).
% fof(110, plain,![X4]:![X5]:![X6]:(((((~(aElementOf0(X6,X5))|aElementOf0(X6,X4))|~(aSubsetOf0(X5,X4)))|~(aSet0(X4)))&((aSet0(X5)|~(aSubsetOf0(X5,X4)))|~(aSet0(X4))))&((((aElementOf0(esk1_2(X4,X5),X5)|~(aSet0(X5)))|aSubsetOf0(X5,X4))|~(aSet0(X4)))&(((~(aElementOf0(esk1_2(X4,X5),X4))|~(aSet0(X5)))|aSubsetOf0(X5,X4))|~(aSet0(X4))))),inference(distribute,[status(thm)],[109])).
% cnf(114,plain,(aElementOf0(X3,X1)|~aSet0(X1)|~aSubsetOf0(X2,X1)|~aElementOf0(X3,X2)),inference(split_conjunct,[status(thm)],[110])).
% cnf(180,plain,(aSet0(szNzAzT0)),inference(split_conjunct,[status(thm)],[16])).
% cnf(181,plain,(aElementOf0(sz00,szNzAzT0)),inference(split_conjunct,[status(thm)],[17])).
% fof(199, plain,![X1]:(~(aElementOf0(X1,szNzAzT0))|sdtlseqdt0(sz00,X1)),inference(fof_nnf,[status(thm)],[22])).
% fof(200, plain,![X2]:(~(aElementOf0(X2,szNzAzT0))|sdtlseqdt0(sz00,X2)),inference(variable_rename,[status(thm)],[199])).
% cnf(201,plain,(sdtlseqdt0(sz00,X1)|~aElementOf0(X1,szNzAzT0)),inference(split_conjunct,[status(thm)],[200])).
% fof(231, plain,![X1]:(~(aSet0(X1))|((~(aElementOf0(sbrdtbr0(X1),szNzAzT0))|isFinite0(X1))&(~(isFinite0(X1))|aElementOf0(sbrdtbr0(X1),szNzAzT0)))),inference(fof_nnf,[status(thm)],[32])).
% fof(232, plain,![X2]:(~(aSet0(X2))|((~(aElementOf0(sbrdtbr0(X2),szNzAzT0))|isFinite0(X2))&(~(isFinite0(X2))|aElementOf0(sbrdtbr0(X2),szNzAzT0)))),inference(variable_rename,[status(thm)],[231])).
% fof(233, plain,![X2]:(((~(aElementOf0(sbrdtbr0(X2),szNzAzT0))|isFinite0(X2))|~(aSet0(X2)))&((~(isFinite0(X2))|aElementOf0(sbrdtbr0(X2),szNzAzT0))|~(aSet0(X2)))),inference(distribute,[status(thm)],[232])).
% cnf(235,plain,(isFinite0(X1)|~aSet0(X1)|~aElementOf0(sbrdtbr0(X1),szNzAzT0)),inference(split_conjunct,[status(thm)],[233])).
% fof(236, plain,![X1]:((~(aSet0(X1))|~(isFinite0(X1)))|![X2]:(~(aElement0(X2))|(aElementOf0(X2,X1)|sbrdtbr0(sdtpldt0(X1,X2))=szszuzczcdt0(sbrdtbr0(X1))))),inference(fof_nnf,[status(thm)],[90])).
% fof(237, plain,![X3]:((~(aSet0(X3))|~(isFinite0(X3)))|![X4]:(~(aElement0(X4))|(aElementOf0(X4,X3)|sbrdtbr0(sdtpldt0(X3,X4))=szszuzczcdt0(sbrdtbr0(X3))))),inference(variable_rename,[status(thm)],[236])).
% fof(238, plain,![X3]:![X4]:((~(aElement0(X4))|(aElementOf0(X4,X3)|sbrdtbr0(sdtpldt0(X3,X4))=szszuzczcdt0(sbrdtbr0(X3))))|(~(aSet0(X3))|~(isFinite0(X3)))),inference(shift_quantors,[status(thm)],[237])).
% cnf(239,plain,(sbrdtbr0(sdtpldt0(X1,X2))=szszuzczcdt0(sbrdtbr0(X1))|aElementOf0(X2,X1)|~isFinite0(X1)|~aSet0(X1)|~aElement0(X2)),inference(split_conjunct,[status(thm)],[238])).
% fof(317, plain,(((aSet0(xS)&![X1]:(~(aElementOf0(X1,xS))|aElementOf0(X1,szNzAzT0)))&aSubsetOf0(xS,szNzAzT0))&isCountable0(xS)),inference(fof_nnf,[status(thm)],[48])).
% fof(318, plain,(((aSet0(xS)&![X2]:(~(aElementOf0(X2,xS))|aElementOf0(X2,szNzAzT0)))&aSubsetOf0(xS,szNzAzT0))&isCountable0(xS)),inference(variable_rename,[status(thm)],[317])).
% fof(319, plain,![X2]:((((~(aElementOf0(X2,xS))|aElementOf0(X2,szNzAzT0))&aSet0(xS))&aSubsetOf0(xS,szNzAzT0))&isCountable0(xS)),inference(shift_quantors,[status(thm)],[318])).
% cnf(322,plain,(aSet0(xS)),inference(split_conjunct,[status(thm)],[319])).
% cnf(4320,plain,(szszuzczcdt0(xk)=xK),inference(split_conjunct,[status(thm)],[53])).
% cnf(4321,plain,(aElementOf0(xk,szNzAzT0)),inference(split_conjunct,[status(thm)],[53])).
% fof(4322, plain,(((aFunction0(xN)&szDzozmdt0(xN)=szNzAzT0)&sdtlpdtrp0(xN,sz00)=xS)&![X1]:(~(aElementOf0(X1,szNzAzT0))|((((~(aSet0(sdtlpdtrp0(xN,X1)))|?[X2]:(aElementOf0(X2,sdtlpdtrp0(xN,X1))&~(aElementOf0(X2,szNzAzT0))))&~(aSubsetOf0(sdtlpdtrp0(xN,X1),szNzAzT0)))|~(isCountable0(sdtlpdtrp0(xN,X1))))|(((((((aElementOf0(szmzizndt0(sdtlpdtrp0(xN,X1)),sdtlpdtrp0(xN,X1))&![X2]:(~(aElementOf0(X2,sdtlpdtrp0(xN,X1)))|sdtlseqdt0(szmzizndt0(sdtlpdtrp0(xN,X1)),X2)))&aSet0(sdtmndt0(sdtlpdtrp0(xN,X1),szmzizndt0(sdtlpdtrp0(xN,X1)))))&![X2]:((~(aElementOf0(X2,sdtmndt0(sdtlpdtrp0(xN,X1),szmzizndt0(sdtlpdtrp0(xN,X1)))))|((aElement0(X2)&aElementOf0(X2,sdtlpdtrp0(xN,X1)))&~(X2=szmzizndt0(sdtlpdtrp0(xN,X1)))))&(((~(aElement0(X2))|~(aElementOf0(X2,sdtlpdtrp0(xN,X1))))|X2=szmzizndt0(sdtlpdtrp0(xN,X1)))|aElementOf0(X2,sdtmndt0(sdtlpdtrp0(xN,X1),szmzizndt0(sdtlpdtrp0(xN,X1)))))))&aSet0(sdtlpdtrp0(xN,szszuzczcdt0(X1))))&![X2]:(~(aElementOf0(X2,sdtlpdtrp0(xN,szszuzczcdt0(X1))))|aElementOf0(X2,sdtmndt0(sdtlpdtrp0(xN,X1),szmzizndt0(sdtlpdtrp0(xN,X1))))))&aSubsetOf0(sdtlpdtrp0(xN,szszuzczcdt0(X1)),sdtmndt0(sdtlpdtrp0(xN,X1),szmzizndt0(sdtlpdtrp0(xN,X1)))))&isCountable0(sdtlpdtrp0(xN,szszuzczcdt0(X1))))))),inference(fof_nnf,[status(thm)],[54])).
% fof(4323, plain,(((aFunction0(xN)&szDzozmdt0(xN)=szNzAzT0)&sdtlpdtrp0(xN,sz00)=xS)&![X3]:(~(aElementOf0(X3,szNzAzT0))|((((~(aSet0(sdtlpdtrp0(xN,X3)))|?[X4]:(aElementOf0(X4,sdtlpdtrp0(xN,X3))&~(aElementOf0(X4,szNzAzT0))))&~(aSubsetOf0(sdtlpdtrp0(xN,X3),szNzAzT0)))|~(isCountable0(sdtlpdtrp0(xN,X3))))|(((((((aElementOf0(szmzizndt0(sdtlpdtrp0(xN,X3)),sdtlpdtrp0(xN,X3))&![X5]:(~(aElementOf0(X5,sdtlpdtrp0(xN,X3)))|sdtlseqdt0(szmzizndt0(sdtlpdtrp0(xN,X3)),X5)))&aSet0(sdtmndt0(sdtlpdtrp0(xN,X3),szmzizndt0(sdtlpdtrp0(xN,X3)))))&![X6]:((~(aElementOf0(X6,sdtmndt0(sdtlpdtrp0(xN,X3),szmzizndt0(sdtlpdtrp0(xN,X3)))))|((aElement0(X6)&aElementOf0(X6,sdtlpdtrp0(xN,X3)))&~(X6=szmzizndt0(sdtlpdtrp0(xN,X3)))))&(((~(aElement0(X6))|~(aElementOf0(X6,sdtlpdtrp0(xN,X3))))|X6=szmzizndt0(sdtlpdtrp0(xN,X3)))|aElementOf0(X6,sdtmndt0(sdtlpdtrp0(xN,X3),szmzizndt0(sdtlpdtrp0(xN,X3)))))))&aSet0(sdtlpdtrp0(xN,szszuzczcdt0(X3))))&![X7]:(~(aElementOf0(X7,sdtlpdtrp0(xN,szszuzczcdt0(X3))))|aElementOf0(X7,sdtmndt0(sdtlpdtrp0(xN,X3),szmzizndt0(sdtlpdtrp0(xN,X3))))))&aSubsetOf0(sdtlpdtrp0(xN,szszuzczcdt0(X3)),sdtmndt0(sdtlpdtrp0(xN,X3),szmzizndt0(sdtlpdtrp0(xN,X3)))))&isCountable0(sdtlpdtrp0(xN,szszuzczcdt0(X3))))))),inference(variable_rename,[status(thm)],[4322])).
% fof(4324, plain,(((aFunction0(xN)&szDzozmdt0(xN)=szNzAzT0)&sdtlpdtrp0(xN,sz00)=xS)&![X3]:(~(aElementOf0(X3,szNzAzT0))|((((~(aSet0(sdtlpdtrp0(xN,X3)))|(aElementOf0(esk23_1(X3),sdtlpdtrp0(xN,X3))&~(aElementOf0(esk23_1(X3),szNzAzT0))))&~(aSubsetOf0(sdtlpdtrp0(xN,X3),szNzAzT0)))|~(isCountable0(sdtlpdtrp0(xN,X3))))|(((((((aElementOf0(szmzizndt0(sdtlpdtrp0(xN,X3)),sdtlpdtrp0(xN,X3))&![X5]:(~(aElementOf0(X5,sdtlpdtrp0(xN,X3)))|sdtlseqdt0(szmzizndt0(sdtlpdtrp0(xN,X3)),X5)))&aSet0(sdtmndt0(sdtlpdtrp0(xN,X3),szmzizndt0(sdtlpdtrp0(xN,X3)))))&![X6]:((~(aElementOf0(X6,sdtmndt0(sdtlpdtrp0(xN,X3),szmzizndt0(sdtlpdtrp0(xN,X3)))))|((aElement0(X6)&aElementOf0(X6,sdtlpdtrp0(xN,X3)))&~(X6=szmzizndt0(sdtlpdtrp0(xN,X3)))))&(((~(aElement0(X6))|~(aElementOf0(X6,sdtlpdtrp0(xN,X3))))|X6=szmzizndt0(sdtlpdtrp0(xN,X3)))|aElementOf0(X6,sdtmndt0(sdtlpdtrp0(xN,X3),szmzizndt0(sdtlpdtrp0(xN,X3)))))))&aSet0(sdtlpdtrp0(xN,szszuzczcdt0(X3))))&![X7]:(~(aElementOf0(X7,sdtlpdtrp0(xN,szszuzczcdt0(X3))))|aElementOf0(X7,sdtmndt0(sdtlpdtrp0(xN,X3),szmzizndt0(sdtlpdtrp0(xN,X3))))))&aSubsetOf0(sdtlpdtrp0(xN,szszuzczcdt0(X3)),sdtmndt0(sdtlpdtrp0(xN,X3),szmzizndt0(sdtlpdtrp0(xN,X3)))))&isCountable0(sdtlpdtrp0(xN,szszuzczcdt0(X3))))))),inference(skolemize,[status(esa)],[4323])).
% fof(4325, plain,![X3]:![X5]:![X6]:![X7]:(((((((~(aElementOf0(X7,sdtlpdtrp0(xN,szszuzczcdt0(X3))))|aElementOf0(X7,sdtmndt0(sdtlpdtrp0(xN,X3),szmzizndt0(sdtlpdtrp0(xN,X3)))))&((((~(aElementOf0(X6,sdtmndt0(sdtlpdtrp0(xN,X3),szmzizndt0(sdtlpdtrp0(xN,X3)))))|((aElement0(X6)&aElementOf0(X6,sdtlpdtrp0(xN,X3)))&~(X6=szmzizndt0(sdtlpdtrp0(xN,X3)))))&(((~(aElement0(X6))|~(aElementOf0(X6,sdtlpdtrp0(xN,X3))))|X6=szmzizndt0(sdtlpdtrp0(xN,X3)))|aElementOf0(X6,sdtmndt0(sdtlpdtrp0(xN,X3),szmzizndt0(sdtlpdtrp0(xN,X3))))))&(((~(aElementOf0(X5,sdtlpdtrp0(xN,X3)))|sdtlseqdt0(szmzizndt0(sdtlpdtrp0(xN,X3)),X5))&aElementOf0(szmzizndt0(sdtlpdtrp0(xN,X3)),sdtlpdtrp0(xN,X3)))&aSet0(sdtmndt0(sdtlpdtrp0(xN,X3),szmzizndt0(sdtlpdtrp0(xN,X3))))))&aSet0(sdtlpdtrp0(xN,szszuzczcdt0(X3)))))&aSubsetOf0(sdtlpdtrp0(xN,szszuzczcdt0(X3)),sdtmndt0(sdtlpdtrp0(xN,X3),szmzizndt0(sdtlpdtrp0(xN,X3)))))&isCountable0(sdtlpdtrp0(xN,szszuzczcdt0(X3))))|(((~(aSet0(sdtlpdtrp0(xN,X3)))|(aElementOf0(esk23_1(X3),sdtlpdtrp0(xN,X3))&~(aElementOf0(esk23_1(X3),szNzAzT0))))&~(aSubsetOf0(sdtlpdtrp0(xN,X3),szNzAzT0)))|~(isCountable0(sdtlpdtrp0(xN,X3)))))|~(aElementOf0(X3,szNzAzT0)))&((aFunction0(xN)&szDzozmdt0(xN)=szNzAzT0)&sdtlpdtrp0(xN,sz00)=xS)),inference(shift_quantors,[status(thm)],[4324])).
% fof(4326, plain,![X3]:![X5]:![X6]:![X7]:((((((((((aElementOf0(esk23_1(X3),sdtlpdtrp0(xN,X3))|~(aSet0(sdtlpdtrp0(xN,X3))))|~(isCountable0(sdtlpdtrp0(xN,X3))))|(~(aElementOf0(X7,sdtlpdtrp0(xN,szszuzczcdt0(X3))))|aElementOf0(X7,sdtmndt0(sdtlpdtrp0(xN,X3),szmzizndt0(sdtlpdtrp0(xN,X3))))))|~(aElementOf0(X3,szNzAzT0)))&((((~(aElementOf0(esk23_1(X3),szNzAzT0))|~(aSet0(sdtlpdtrp0(xN,X3))))|~(isCountable0(sdtlpdtrp0(xN,X3))))|(~(aElementOf0(X7,sdtlpdtrp0(xN,szszuzczcdt0(X3))))|aElementOf0(X7,sdtmndt0(sdtlpdtrp0(xN,X3),szmzizndt0(sdtlpdtrp0(xN,X3))))))|~(aElementOf0(X3,szNzAzT0))))&(((~(aSubsetOf0(sdtlpdtrp0(xN,X3),szNzAzT0))|~(isCountable0(sdtlpdtrp0(xN,X3))))|(~(aElementOf0(X7,sdtlpdtrp0(xN,szszuzczcdt0(X3))))|aElementOf0(X7,sdtmndt0(sdtlpdtrp0(xN,X3),szmzizndt0(sdtlpdtrp0(xN,X3))))))|~(aElementOf0(X3,szNzAzT0))))&(((((((((((aElementOf0(esk23_1(X3),sdtlpdtrp0(xN,X3))|~(aSet0(sdtlpdtrp0(xN,X3))))|~(isCountable0(sdtlpdtrp0(xN,X3))))|(aElement0(X6)|~(aElementOf0(X6,sdtmndt0(sdtlpdtrp0(xN,X3),szmzizndt0(sdtlpdtrp0(xN,X3)))))))|~(aElementOf0(X3,szNzAzT0)))&((((~(aElementOf0(esk23_1(X3),szNzAzT0))|~(aSet0(sdtlpdtrp0(xN,X3))))|~(isCountable0(sdtlpdtrp0(xN,X3))))|(aElement0(X6)|~(aElementOf0(X6,sdtmndt0(sdtlpdtrp0(xN,X3),szmzizndt0(sdtlpdtrp0(xN,X3)))))))|~(aElementOf0(X3,szNzAzT0))))&(((~(aSubsetOf0(sdtlpdtrp0(xN,X3),szNzAzT0))|~(isCountable0(sdtlpdtrp0(xN,X3))))|(aElement0(X6)|~(aElementOf0(X6,sdtmndt0(sdtlpdtrp0(xN,X3),szmzizndt0(sdtlpdtrp0(xN,X3)))))))|~(aElementOf0(X3,szNzAzT0))))&((((((aElementOf0(esk23_1(X3),sdtlpdtrp0(xN,X3))|~(aSet0(sdtlpdtrp0(xN,X3))))|~(isCountable0(sdtlpdtrp0(xN,X3))))|(aElementOf0(X6,sdtlpdtrp0(xN,X3))|~(aElementOf0(X6,sdtmndt0(sdtlpdtrp0(xN,X3),szmzizndt0(sdtlpdtrp0(xN,X3)))))))|~(aElementOf0(X3,szNzAzT0)))&((((~(aElementOf0(esk23_1(X3),szNzAzT0))|~(aSet0(sdtlpdtrp0(xN,X3))))|~(isCountable0(sdtlpdtrp0(xN,X3))))|(aElementOf0(X6,sdtlpdtrp0(xN,X3))|~(aElementOf0(X6,sdtmndt0(sdtlpdtrp0(xN,X3),szmzizndt0(sdtlpdtrp0(xN,X3)))))))|~(aElementOf0(X3,szNzAzT0))))&(((~(aSubsetOf0(sdtlpdtrp0(xN,X3),szNzAzT0))|~(isCountable0(sdtlpdtrp0(xN,X3))))|(aElementOf0(X6,sdtlpdtrp0(xN,X3))|~(aElementOf0(X6,sdtmndt0(sdtlpdtrp0(xN,X3),szmzizndt0(sdtlpdtrp0(xN,X3)))))))|~(aElementOf0(X3,szNzAzT0)))))&((((((aElementOf0(esk23_1(X3),sdtlpdtrp0(xN,X3))|~(aSet0(sdtlpdtrp0(xN,X3))))|~(isCountable0(sdtlpdtrp0(xN,X3))))|(~(X6=szmzizndt0(sdtlpdtrp0(xN,X3)))|~(aElementOf0(X6,sdtmndt0(sdtlpdtrp0(xN,X3),szmzizndt0(sdtlpdtrp0(xN,X3)))))))|~(aElementOf0(X3,szNzAzT0)))&((((~(aElementOf0(esk23_1(X3),szNzAzT0))|~(aSet0(sdtlpdtrp0(xN,X3))))|~(isCountable0(sdtlpdtrp0(xN,X3))))|(~(X6=szmzizndt0(sdtlpdtrp0(xN,X3)))|~(aElementOf0(X6,sdtmndt0(sdtlpdtrp0(xN,X3),szmzizndt0(sdtlpdtrp0(xN,X3)))))))|~(aElementOf0(X3,szNzAzT0))))&(((~(aSubsetOf0(sdtlpdtrp0(xN,X3),szNzAzT0))|~(isCountable0(sdtlpdtrp0(xN,X3))))|(~(X6=szmzizndt0(sdtlpdtrp0(xN,X3)))|~(aElementOf0(X6,sdtmndt0(sdtlpdtrp0(xN,X3),szmzizndt0(sdtlpdtrp0(xN,X3)))))))|~(aElementOf0(X3,szNzAzT0)))))&((((((aElementOf0(esk23_1(X3),sdtlpdtrp0(xN,X3))|~(aSet0(sdtlpdtrp0(xN,X3))))|~(isCountable0(sdtlpdtrp0(xN,X3))))|(((~(aElement0(X6))|~(aElementOf0(X6,sdtlpdtrp0(xN,X3))))|X6=szmzizndt0(sdtlpdtrp0(xN,X3)))|aElementOf0(X6,sdtmndt0(sdtlpdtrp0(xN,X3),szmzizndt0(sdtlpdtrp0(xN,X3))))))|~(aElementOf0(X3,szNzAzT0)))&((((~(aElementOf0(esk23_1(X3),szNzAzT0))|~(aSet0(sdtlpdtrp0(xN,X3))))|~(isCountable0(sdtlpdtrp0(xN,X3))))|(((~(aElement0(X6))|~(aElementOf0(X6,sdtlpdtrp0(xN,X3))))|X6=szmzizndt0(sdtlpdtrp0(xN,X3)))|aElementOf0(X6,sdtmndt0(sdtlpdtrp0(xN,X3),szmzizndt0(sdtlpdtrp0(xN,X3))))))|~(aElementOf0(X3,szNzAzT0))))&(((~(aSubsetOf0(sdtlpdtrp0(xN,X3),szNzAzT0))|~(isCountable0(sdtlpdtrp0(xN,X3))))|(((~(aElement0(X6))|~(aElementOf0(X6,sdtlpdtrp0(xN,X3))))|X6=szmzizndt0(sdtlpdtrp0(xN,X3)))|aElementOf0(X6,sdtmndt0(sdtlpdtrp0(xN,X3),szmzizndt0(sdtlpdtrp0(xN,X3))))))|~(aElementOf0(X3,szNzAzT0)))))&((((((((aElementOf0(esk23_1(X3),sdtlpdtrp0(xN,X3))|~(aSet0(sdtlpdtrp0(xN,X3))))|~(isCountable0(sdtlpdtrp0(xN,X3))))|(~(aElementOf0(X5,sdtlpdtrp0(xN,X3)))|sdtlseqdt0(szmzizndt0(sdtlpdtrp0(xN,X3)),X5)))|~(aElementOf0(X3,szNzAzT0)))&((((~(aElementOf0(esk23_1(X3),szNzAzT0))|~(aSet0(sdtlpdtrp0(xN,X3))))|~(isCountable0(sdtlpdtrp0(xN,X3))))|(~(aElementOf0(X5,sdtlpdtrp0(xN,X3)))|sdtlseqdt0(szmzizndt0(sdtlpdtrp0(xN,X3)),X5)))|~(aElementOf0(X3,szNzAzT0))))&(((~(aSubsetOf0(sdtlpdtrp0(xN,X3),szNzAzT0))|~(isCountable0(sdtlpdtrp0(xN,X3))))|(~(aElementOf0(X5,sdtlpdtrp0(xN,X3)))|sdtlseqdt0(szmzizndt0(sdtlpdtrp0(xN,X3)),X5)))|~(aElementOf0(X3,szNzAzT0))))&((((((aElementOf0(esk23_1(X3),sdtlpdtrp0(xN,X3))|~(aSet0(sdtlpdtrp0(xN,X3))))|~(isCountable0(sdtlpdtrp0(xN,X3))))|aElementOf0(szmzizndt0(sdtlpdtrp0(xN,X3)),sdtlpdtrp0(xN,X3)))|~(aElementOf0(X3,szNzAzT0)))&((((~(aElementOf0(esk23_1(X3),szNzAzT0))|~(aSet0(sdtlpdtrp0(xN,X3))))|~(isCountable0(sdtlpdtrp0(xN,X3))))|aElementOf0(szmzizndt0(sdtlpdtrp0(xN,X3)),sdtlpdtrp0(xN,X3)))|~(aElementOf0(X3,szNzAzT0))))&(((~(aSubsetOf0(sdtlpdtrp0(xN,X3),szNzAzT0))|~(isCountable0(sdtlpdtrp0(xN,X3))))|aElementOf0(szmzizndt0(sdtlpdtrp0(xN,X3)),sdtlpdtrp0(xN,X3)))|~(aElementOf0(X3,szNzAzT0)))))&((((((aElementOf0(esk23_1(X3),sdtlpdtrp0(xN,X3))|~(aSet0(sdtlpdtrp0(xN,X3))))|~(isCountable0(sdtlpdtrp0(xN,X3))))|aSet0(sdtmndt0(sdtlpdtrp0(xN,X3),szmzizndt0(sdtlpdtrp0(xN,X3)))))|~(aElementOf0(X3,szNzAzT0)))&((((~(aElementOf0(esk23_1(X3),szNzAzT0))|~(aSet0(sdtlpdtrp0(xN,X3))))|~(isCountable0(sdtlpdtrp0(xN,X3))))|aSet0(sdtmndt0(sdtlpdtrp0(xN,X3),szmzizndt0(sdtlpdtrp0(xN,X3)))))|~(aElementOf0(X3,szNzAzT0))))&(((~(aSubsetOf0(sdtlpdtrp0(xN,X3),szNzAzT0))|~(isCountable0(sdtlpdtrp0(xN,X3))))|aSet0(sdtmndt0(sdtlpdtrp0(xN,X3),szmzizndt0(sdtlpdtrp0(xN,X3)))))|~(aElementOf0(X3,szNzAzT0))))))&((((((aElementOf0(esk23_1(X3),sdtlpdtrp0(xN,X3))|~(aSet0(sdtlpdtrp0(xN,X3))))|~(isCountable0(sdtlpdtrp0(xN,X3))))|aSet0(sdtlpdtrp0(xN,szszuzczcdt0(X3))))|~(aElementOf0(X3,szNzAzT0)))&((((~(aElementOf0(esk23_1(X3),szNzAzT0))|~(aSet0(sdtlpdtrp0(xN,X3))))|~(isCountable0(sdtlpdtrp0(xN,X3))))|aSet0(sdtlpdtrp0(xN,szszuzczcdt0(X3))))|~(aElementOf0(X3,szNzAzT0))))&(((~(aSubsetOf0(sdtlpdtrp0(xN,X3),szNzAzT0))|~(isCountable0(sdtlpdtrp0(xN,X3))))|aSet0(sdtlpdtrp0(xN,szszuzczcdt0(X3))))|~(aElementOf0(X3,szNzAzT0))))))&((((((aElementOf0(esk23_1(X3),sdtlpdtrp0(xN,X3))|~(aSet0(sdtlpdtrp0(xN,X3))))|~(isCountable0(sdtlpdtrp0(xN,X3))))|aSubsetOf0(sdtlpdtrp0(xN,szszuzczcdt0(X3)),sdtmndt0(sdtlpdtrp0(xN,X3),szmzizndt0(sdtlpdtrp0(xN,X3)))))|~(aElementOf0(X3,szNzAzT0)))&((((~(aElementOf0(esk23_1(X3),szNzAzT0))|~(aSet0(sdtlpdtrp0(xN,X3))))|~(isCountable0(sdtlpdtrp0(xN,X3))))|aSubsetOf0(sdtlpdtrp0(xN,szszuzczcdt0(X3)),sdtmndt0(sdtlpdtrp0(xN,X3),szmzizndt0(sdtlpdtrp0(xN,X3)))))|~(aElementOf0(X3,szNzAzT0))))&(((~(aSubsetOf0(sdtlpdtrp0(xN,X3),szNzAzT0))|~(isCountable0(sdtlpdtrp0(xN,X3))))|aSubsetOf0(sdtlpdtrp0(xN,szszuzczcdt0(X3)),sdtmndt0(sdtlpdtrp0(xN,X3),szmzizndt0(sdtlpdtrp0(xN,X3)))))|~(aElementOf0(X3,szNzAzT0)))))&((((((aElementOf0(esk23_1(X3),sdtlpdtrp0(xN,X3))|~(aSet0(sdtlpdtrp0(xN,X3))))|~(isCountable0(sdtlpdtrp0(xN,X3))))|isCountable0(sdtlpdtrp0(xN,szszuzczcdt0(X3))))|~(aElementOf0(X3,szNzAzT0)))&((((~(aElementOf0(esk23_1(X3),szNzAzT0))|~(aSet0(sdtlpdtrp0(xN,X3))))|~(isCountable0(sdtlpdtrp0(xN,X3))))|isCountable0(sdtlpdtrp0(xN,szszuzczcdt0(X3))))|~(aElementOf0(X3,szNzAzT0))))&(((~(aSubsetOf0(sdtlpdtrp0(xN,X3),szNzAzT0))|~(isCountable0(sdtlpdtrp0(xN,X3))))|isCountable0(sdtlpdtrp0(xN,szszuzczcdt0(X3))))|~(aElementOf0(X3,szNzAzT0)))))&((aFunction0(xN)&szDzozmdt0(xN)=szNzAzT0)&sdtlpdtrp0(xN,sz00)=xS)),inference(distribute,[status(thm)],[4325])).
% cnf(4327,plain,(sdtlpdtrp0(xN,sz00)=xS),inference(split_conjunct,[status(thm)],[4326])).
% fof(4363, plain,![X1]:(~(aElementOf0(X1,szNzAzT0))|(((aSet0(sdtlpdtrp0(xN,X1))&![X2]:(~(aElementOf0(X2,sdtlpdtrp0(xN,X1)))|aElementOf0(X2,szNzAzT0)))&aSubsetOf0(sdtlpdtrp0(xN,X1),szNzAzT0))&isCountable0(sdtlpdtrp0(xN,X1)))),inference(fof_nnf,[status(thm)],[55])).
% fof(4364, plain,![X3]:(~(aElementOf0(X3,szNzAzT0))|(((aSet0(sdtlpdtrp0(xN,X3))&![X4]:(~(aElementOf0(X4,sdtlpdtrp0(xN,X3)))|aElementOf0(X4,szNzAzT0)))&aSubsetOf0(sdtlpdtrp0(xN,X3),szNzAzT0))&isCountable0(sdtlpdtrp0(xN,X3)))),inference(variable_rename,[status(thm)],[4363])).
% fof(4365, plain,![X3]:![X4]:(((((~(aElementOf0(X4,sdtlpdtrp0(xN,X3)))|aElementOf0(X4,szNzAzT0))&aSet0(sdtlpdtrp0(xN,X3)))&aSubsetOf0(sdtlpdtrp0(xN,X3),szNzAzT0))&isCountable0(sdtlpdtrp0(xN,X3)))|~(aElementOf0(X3,szNzAzT0))),inference(shift_quantors,[status(thm)],[4364])).
% fof(4366, plain,![X3]:![X4]:(((((~(aElementOf0(X4,sdtlpdtrp0(xN,X3)))|aElementOf0(X4,szNzAzT0))|~(aElementOf0(X3,szNzAzT0)))&(aSet0(sdtlpdtrp0(xN,X3))|~(aElementOf0(X3,szNzAzT0))))&(aSubsetOf0(sdtlpdtrp0(xN,X3),szNzAzT0)|~(aElementOf0(X3,szNzAzT0))))&(isCountable0(sdtlpdtrp0(xN,X3))|~(aElementOf0(X3,szNzAzT0)))),inference(distribute,[status(thm)],[4365])).
% cnf(4370,plain,(aElementOf0(X2,szNzAzT0)|~aElementOf0(X1,szNzAzT0)|~aElementOf0(X2,sdtlpdtrp0(xN,X1))),inference(split_conjunct,[status(thm)],[4366])).
% fof(4371, plain,![X1]:![X2]:((~(aElementOf0(X1,szNzAzT0))|~(aElementOf0(X2,szNzAzT0)))|(~(sdtlseqdt0(X2,X1))|(![X3]:(~(aElementOf0(X3,sdtlpdtrp0(xN,X1)))|aElementOf0(X3,sdtlpdtrp0(xN,X2)))&aSubsetOf0(sdtlpdtrp0(xN,X1),sdtlpdtrp0(xN,X2))))),inference(fof_nnf,[status(thm)],[56])).
% fof(4372, plain,![X4]:![X5]:((~(aElementOf0(X4,szNzAzT0))|~(aElementOf0(X5,szNzAzT0)))|(~(sdtlseqdt0(X5,X4))|(![X6]:(~(aElementOf0(X6,sdtlpdtrp0(xN,X4)))|aElementOf0(X6,sdtlpdtrp0(xN,X5)))&aSubsetOf0(sdtlpdtrp0(xN,X4),sdtlpdtrp0(xN,X5))))),inference(variable_rename,[status(thm)],[4371])).
% fof(4373, plain,![X4]:![X5]:![X6]:((((~(aElementOf0(X6,sdtlpdtrp0(xN,X4)))|aElementOf0(X6,sdtlpdtrp0(xN,X5)))&aSubsetOf0(sdtlpdtrp0(xN,X4),sdtlpdtrp0(xN,X5)))|~(sdtlseqdt0(X5,X4)))|(~(aElementOf0(X4,szNzAzT0))|~(aElementOf0(X5,szNzAzT0)))),inference(shift_quantors,[status(thm)],[4372])).
% fof(4374, plain,![X4]:![X5]:![X6]:((((~(aElementOf0(X6,sdtlpdtrp0(xN,X4)))|aElementOf0(X6,sdtlpdtrp0(xN,X5)))|~(sdtlseqdt0(X5,X4)))|(~(aElementOf0(X4,szNzAzT0))|~(aElementOf0(X5,szNzAzT0))))&((aSubsetOf0(sdtlpdtrp0(xN,X4),sdtlpdtrp0(xN,X5))|~(sdtlseqdt0(X5,X4)))|(~(aElementOf0(X4,szNzAzT0))|~(aElementOf0(X5,szNzAzT0))))),inference(distribute,[status(thm)],[4373])).
% cnf(4375,plain,(aSubsetOf0(sdtlpdtrp0(xN,X2),sdtlpdtrp0(xN,X1))|~aElementOf0(X1,szNzAzT0)|~aElementOf0(X2,szNzAzT0)|~sdtlseqdt0(X1,X2)),inference(split_conjunct,[status(thm)],[4374])).
% cnf(4376,plain,(aElementOf0(X3,sdtlpdtrp0(xN,X1))|~aElementOf0(X1,szNzAzT0)|~aElementOf0(X2,szNzAzT0)|~sdtlseqdt0(X1,X2)|~aElementOf0(X3,sdtlpdtrp0(xN,X2))),inference(split_conjunct,[status(thm)],[4374])).
% fof(4513, negated_conjecture,?[X1]:(aElementOf0(X1,szNzAzT0)&?[X2]:(((((((((aSet0(X2)&aElementOf0(szmzizndt0(sdtlpdtrp0(xN,X1)),sdtlpdtrp0(xN,X1)))&![X3]:(~(aElementOf0(X3,sdtlpdtrp0(xN,X1)))|sdtlseqdt0(szmzizndt0(sdtlpdtrp0(xN,X1)),X3)))&aSet0(sdtmndt0(sdtlpdtrp0(xN,X1),szmzizndt0(sdtlpdtrp0(xN,X1)))))&![X3]:((~(aElementOf0(X3,sdtmndt0(sdtlpdtrp0(xN,X1),szmzizndt0(sdtlpdtrp0(xN,X1)))))|((aElement0(X3)&aElementOf0(X3,sdtlpdtrp0(xN,X1)))&~(X3=szmzizndt0(sdtlpdtrp0(xN,X1)))))&(((~(aElement0(X3))|~(aElementOf0(X3,sdtlpdtrp0(xN,X1))))|X3=szmzizndt0(sdtlpdtrp0(xN,X1)))|aElementOf0(X3,sdtmndt0(sdtlpdtrp0(xN,X1),szmzizndt0(sdtlpdtrp0(xN,X1)))))))&![X3]:(~(aElementOf0(X3,X2))|aElementOf0(X3,sdtmndt0(sdtlpdtrp0(xN,X1),szmzizndt0(sdtlpdtrp0(xN,X1))))))&aSubsetOf0(X2,sdtmndt0(sdtlpdtrp0(xN,X1),szmzizndt0(sdtlpdtrp0(xN,X1)))))&sbrdtbr0(X2)=xk)&aElementOf0(X2,slbdtsldtrb0(sdtmndt0(sdtlpdtrp0(xN,X1),szmzizndt0(sdtlpdtrp0(xN,X1))),xk)))&((aElementOf0(szmzizndt0(sdtlpdtrp0(xN,X1)),sdtlpdtrp0(xN,X1))&![X3]:(~(aElementOf0(X3,sdtlpdtrp0(xN,X1)))|sdtlseqdt0(szmzizndt0(sdtlpdtrp0(xN,X1)),X3)))&((aSet0(sdtpldt0(X2,szmzizndt0(sdtlpdtrp0(xN,X1))))&![X3]:((~(aElementOf0(X3,sdtpldt0(X2,szmzizndt0(sdtlpdtrp0(xN,X1)))))|(aElement0(X3)&(aElementOf0(X3,X2)|X3=szmzizndt0(sdtlpdtrp0(xN,X1)))))&((~(aElement0(X3))|(~(aElementOf0(X3,X2))&~(X3=szmzizndt0(sdtlpdtrp0(xN,X1)))))|aElementOf0(X3,sdtpldt0(X2,szmzizndt0(sdtlpdtrp0(xN,X1)))))))&(((?[X3]:(aElementOf0(X3,sdtpldt0(X2,szmzizndt0(sdtlpdtrp0(xN,X1))))&~(aElementOf0(X3,xS)))&~(aSubsetOf0(sdtpldt0(X2,szmzizndt0(sdtlpdtrp0(xN,X1))),xS)))|~(sbrdtbr0(sdtpldt0(X2,szmzizndt0(sdtlpdtrp0(xN,X1))))=xK))&~(aElementOf0(sdtpldt0(X2,szmzizndt0(sdtlpdtrp0(xN,X1))),slbdtsldtrb0(xS,xK)))))))),inference(fof_nnf,[status(thm)],[86])).
% fof(4514, negated_conjecture,?[X4]:(aElementOf0(X4,szNzAzT0)&?[X5]:(((((((((aSet0(X5)&aElementOf0(szmzizndt0(sdtlpdtrp0(xN,X4)),sdtlpdtrp0(xN,X4)))&![X6]:(~(aElementOf0(X6,sdtlpdtrp0(xN,X4)))|sdtlseqdt0(szmzizndt0(sdtlpdtrp0(xN,X4)),X6)))&aSet0(sdtmndt0(sdtlpdtrp0(xN,X4),szmzizndt0(sdtlpdtrp0(xN,X4)))))&![X7]:((~(aElementOf0(X7,sdtmndt0(sdtlpdtrp0(xN,X4),szmzizndt0(sdtlpdtrp0(xN,X4)))))|((aElement0(X7)&aElementOf0(X7,sdtlpdtrp0(xN,X4)))&~(X7=szmzizndt0(sdtlpdtrp0(xN,X4)))))&(((~(aElement0(X7))|~(aElementOf0(X7,sdtlpdtrp0(xN,X4))))|X7=szmzizndt0(sdtlpdtrp0(xN,X4)))|aElementOf0(X7,sdtmndt0(sdtlpdtrp0(xN,X4),szmzizndt0(sdtlpdtrp0(xN,X4)))))))&![X8]:(~(aElementOf0(X8,X5))|aElementOf0(X8,sdtmndt0(sdtlpdtrp0(xN,X4),szmzizndt0(sdtlpdtrp0(xN,X4))))))&aSubsetOf0(X5,sdtmndt0(sdtlpdtrp0(xN,X4),szmzizndt0(sdtlpdtrp0(xN,X4)))))&sbrdtbr0(X5)=xk)&aElementOf0(X5,slbdtsldtrb0(sdtmndt0(sdtlpdtrp0(xN,X4),szmzizndt0(sdtlpdtrp0(xN,X4))),xk)))&((aElementOf0(szmzizndt0(sdtlpdtrp0(xN,X4)),sdtlpdtrp0(xN,X4))&![X9]:(~(aElementOf0(X9,sdtlpdtrp0(xN,X4)))|sdtlseqdt0(szmzizndt0(sdtlpdtrp0(xN,X4)),X9)))&((aSet0(sdtpldt0(X5,szmzizndt0(sdtlpdtrp0(xN,X4))))&![X10]:((~(aElementOf0(X10,sdtpldt0(X5,szmzizndt0(sdtlpdtrp0(xN,X4)))))|(aElement0(X10)&(aElementOf0(X10,X5)|X10=szmzizndt0(sdtlpdtrp0(xN,X4)))))&((~(aElement0(X10))|(~(aElementOf0(X10,X5))&~(X10=szmzizndt0(sdtlpdtrp0(xN,X4)))))|aElementOf0(X10,sdtpldt0(X5,szmzizndt0(sdtlpdtrp0(xN,X4)))))))&(((?[X11]:(aElementOf0(X11,sdtpldt0(X5,szmzizndt0(sdtlpdtrp0(xN,X4))))&~(aElementOf0(X11,xS)))&~(aSubsetOf0(sdtpldt0(X5,szmzizndt0(sdtlpdtrp0(xN,X4))),xS)))|~(sbrdtbr0(sdtpldt0(X5,szmzizndt0(sdtlpdtrp0(xN,X4))))=xK))&~(aElementOf0(sdtpldt0(X5,szmzizndt0(sdtlpdtrp0(xN,X4))),slbdtsldtrb0(xS,xK)))))))),inference(variable_rename,[status(thm)],[4513])).
% fof(4515, negated_conjecture,(aElementOf0(esk32_0,szNzAzT0)&(((((((((aSet0(esk33_0)&aElementOf0(szmzizndt0(sdtlpdtrp0(xN,esk32_0)),sdtlpdtrp0(xN,esk32_0)))&![X6]:(~(aElementOf0(X6,sdtlpdtrp0(xN,esk32_0)))|sdtlseqdt0(szmzizndt0(sdtlpdtrp0(xN,esk32_0)),X6)))&aSet0(sdtmndt0(sdtlpdtrp0(xN,esk32_0),szmzizndt0(sdtlpdtrp0(xN,esk32_0)))))&![X7]:((~(aElementOf0(X7,sdtmndt0(sdtlpdtrp0(xN,esk32_0),szmzizndt0(sdtlpdtrp0(xN,esk32_0)))))|((aElement0(X7)&aElementOf0(X7,sdtlpdtrp0(xN,esk32_0)))&~(X7=szmzizndt0(sdtlpdtrp0(xN,esk32_0)))))&(((~(aElement0(X7))|~(aElementOf0(X7,sdtlpdtrp0(xN,esk32_0))))|X7=szmzizndt0(sdtlpdtrp0(xN,esk32_0)))|aElementOf0(X7,sdtmndt0(sdtlpdtrp0(xN,esk32_0),szmzizndt0(sdtlpdtrp0(xN,esk32_0)))))))&![X8]:(~(aElementOf0(X8,esk33_0))|aElementOf0(X8,sdtmndt0(sdtlpdtrp0(xN,esk32_0),szmzizndt0(sdtlpdtrp0(xN,esk32_0))))))&aSubsetOf0(esk33_0,sdtmndt0(sdtlpdtrp0(xN,esk32_0),szmzizndt0(sdtlpdtrp0(xN,esk32_0)))))&sbrdtbr0(esk33_0)=xk)&aElementOf0(esk33_0,slbdtsldtrb0(sdtmndt0(sdtlpdtrp0(xN,esk32_0),szmzizndt0(sdtlpdtrp0(xN,esk32_0))),xk)))&((aElementOf0(szmzizndt0(sdtlpdtrp0(xN,esk32_0)),sdtlpdtrp0(xN,esk32_0))&![X9]:(~(aElementOf0(X9,sdtlpdtrp0(xN,esk32_0)))|sdtlseqdt0(szmzizndt0(sdtlpdtrp0(xN,esk32_0)),X9)))&((aSet0(sdtpldt0(esk33_0,szmzizndt0(sdtlpdtrp0(xN,esk32_0))))&![X10]:((~(aElementOf0(X10,sdtpldt0(esk33_0,szmzizndt0(sdtlpdtrp0(xN,esk32_0)))))|(aElement0(X10)&(aElementOf0(X10,esk33_0)|X10=szmzizndt0(sdtlpdtrp0(xN,esk32_0)))))&((~(aElement0(X10))|(~(aElementOf0(X10,esk33_0))&~(X10=szmzizndt0(sdtlpdtrp0(xN,esk32_0)))))|aElementOf0(X10,sdtpldt0(esk33_0,szmzizndt0(sdtlpdtrp0(xN,esk32_0)))))))&((((aElementOf0(esk34_0,sdtpldt0(esk33_0,szmzizndt0(sdtlpdtrp0(xN,esk32_0))))&~(aElementOf0(esk34_0,xS)))&~(aSubsetOf0(sdtpldt0(esk33_0,szmzizndt0(sdtlpdtrp0(xN,esk32_0))),xS)))|~(sbrdtbr0(sdtpldt0(esk33_0,szmzizndt0(sdtlpdtrp0(xN,esk32_0))))=xK))&~(aElementOf0(sdtpldt0(esk33_0,szmzizndt0(sdtlpdtrp0(xN,esk32_0))),slbdtsldtrb0(xS,xK)))))))),inference(skolemize,[status(esa)],[4514])).
% fof(4516, negated_conjecture,![X6]:![X7]:![X8]:![X9]:![X10]:(((((((~(aElementOf0(X10,sdtpldt0(esk33_0,szmzizndt0(sdtlpdtrp0(xN,esk32_0)))))|(aElement0(X10)&(aElementOf0(X10,esk33_0)|X10=szmzizndt0(sdtlpdtrp0(xN,esk32_0)))))&((~(aElement0(X10))|(~(aElementOf0(X10,esk33_0))&~(X10=szmzizndt0(sdtlpdtrp0(xN,esk32_0)))))|aElementOf0(X10,sdtpldt0(esk33_0,szmzizndt0(sdtlpdtrp0(xN,esk32_0))))))&aSet0(sdtpldt0(esk33_0,szmzizndt0(sdtlpdtrp0(xN,esk32_0)))))&((((aElementOf0(esk34_0,sdtpldt0(esk33_0,szmzizndt0(sdtlpdtrp0(xN,esk32_0))))&~(aElementOf0(esk34_0,xS)))&~(aSubsetOf0(sdtpldt0(esk33_0,szmzizndt0(sdtlpdtrp0(xN,esk32_0))),xS)))|~(sbrdtbr0(sdtpldt0(esk33_0,szmzizndt0(sdtlpdtrp0(xN,esk32_0))))=xK))&~(aElementOf0(sdtpldt0(esk33_0,szmzizndt0(sdtlpdtrp0(xN,esk32_0))),slbdtsldtrb0(xS,xK)))))&((~(aElementOf0(X9,sdtlpdtrp0(xN,esk32_0)))|sdtlseqdt0(szmzizndt0(sdtlpdtrp0(xN,esk32_0)),X9))&aElementOf0(szmzizndt0(sdtlpdtrp0(xN,esk32_0)),sdtlpdtrp0(xN,esk32_0))))&(((((~(aElementOf0(X8,esk33_0))|aElementOf0(X8,sdtmndt0(sdtlpdtrp0(xN,esk32_0),szmzizndt0(sdtlpdtrp0(xN,esk32_0)))))&(((~(aElementOf0(X7,sdtmndt0(sdtlpdtrp0(xN,esk32_0),szmzizndt0(sdtlpdtrp0(xN,esk32_0)))))|((aElement0(X7)&aElementOf0(X7,sdtlpdtrp0(xN,esk32_0)))&~(X7=szmzizndt0(sdtlpdtrp0(xN,esk32_0)))))&(((~(aElement0(X7))|~(aElementOf0(X7,sdtlpdtrp0(xN,esk32_0))))|X7=szmzizndt0(sdtlpdtrp0(xN,esk32_0)))|aElementOf0(X7,sdtmndt0(sdtlpdtrp0(xN,esk32_0),szmzizndt0(sdtlpdtrp0(xN,esk32_0))))))&(((~(aElementOf0(X6,sdtlpdtrp0(xN,esk32_0)))|sdtlseqdt0(szmzizndt0(sdtlpdtrp0(xN,esk32_0)),X6))&(aSet0(esk33_0)&aElementOf0(szmzizndt0(sdtlpdtrp0(xN,esk32_0)),sdtlpdtrp0(xN,esk32_0))))&aSet0(sdtmndt0(sdtlpdtrp0(xN,esk32_0),szmzizndt0(sdtlpdtrp0(xN,esk32_0)))))))&aSubsetOf0(esk33_0,sdtmndt0(sdtlpdtrp0(xN,esk32_0),szmzizndt0(sdtlpdtrp0(xN,esk32_0)))))&sbrdtbr0(esk33_0)=xk)&aElementOf0(esk33_0,slbdtsldtrb0(sdtmndt0(sdtlpdtrp0(xN,esk32_0),szmzizndt0(sdtlpdtrp0(xN,esk32_0))),xk))))&aElementOf0(esk32_0,szNzAzT0)),inference(shift_quantors,[status(thm)],[4515])).
% fof(4517, negated_conjecture,![X6]:![X7]:![X8]:![X9]:![X10]:((((((((aElement0(X10)|~(aElementOf0(X10,sdtpldt0(esk33_0,szmzizndt0(sdtlpdtrp0(xN,esk32_0))))))&((aElementOf0(X10,esk33_0)|X10=szmzizndt0(sdtlpdtrp0(xN,esk32_0)))|~(aElementOf0(X10,sdtpldt0(esk33_0,szmzizndt0(sdtlpdtrp0(xN,esk32_0)))))))&(((~(aElementOf0(X10,esk33_0))|~(aElement0(X10)))|aElementOf0(X10,sdtpldt0(esk33_0,szmzizndt0(sdtlpdtrp0(xN,esk32_0)))))&((~(X10=szmzizndt0(sdtlpdtrp0(xN,esk32_0)))|~(aElement0(X10)))|aElementOf0(X10,sdtpldt0(esk33_0,szmzizndt0(sdtlpdtrp0(xN,esk32_0)))))))&aSet0(sdtpldt0(esk33_0,szmzizndt0(sdtlpdtrp0(xN,esk32_0)))))&((((aElementOf0(esk34_0,sdtpldt0(esk33_0,szmzizndt0(sdtlpdtrp0(xN,esk32_0))))|~(sbrdtbr0(sdtpldt0(esk33_0,szmzizndt0(sdtlpdtrp0(xN,esk32_0))))=xK))&(~(aElementOf0(esk34_0,xS))|~(sbrdtbr0(sdtpldt0(esk33_0,szmzizndt0(sdtlpdtrp0(xN,esk32_0))))=xK)))&(~(aSubsetOf0(sdtpldt0(esk33_0,szmzizndt0(sdtlpdtrp0(xN,esk32_0))),xS))|~(sbrdtbr0(sdtpldt0(esk33_0,szmzizndt0(sdtlpdtrp0(xN,esk32_0))))=xK)))&~(aElementOf0(sdtpldt0(esk33_0,szmzizndt0(sdtlpdtrp0(xN,esk32_0))),slbdtsldtrb0(xS,xK)))))&((~(aElementOf0(X9,sdtlpdtrp0(xN,esk32_0)))|sdtlseqdt0(szmzizndt0(sdtlpdtrp0(xN,esk32_0)),X9))&aElementOf0(szmzizndt0(sdtlpdtrp0(xN,esk32_0)),sdtlpdtrp0(xN,esk32_0))))&(((((~(aElementOf0(X8,esk33_0))|aElementOf0(X8,sdtmndt0(sdtlpdtrp0(xN,esk32_0),szmzizndt0(sdtlpdtrp0(xN,esk32_0)))))&(((((aElement0(X7)|~(aElementOf0(X7,sdtmndt0(sdtlpdtrp0(xN,esk32_0),szmzizndt0(sdtlpdtrp0(xN,esk32_0))))))&(aElementOf0(X7,sdtlpdtrp0(xN,esk32_0))|~(aElementOf0(X7,sdtmndt0(sdtlpdtrp0(xN,esk32_0),szmzizndt0(sdtlpdtrp0(xN,esk32_0)))))))&(~(X7=szmzizndt0(sdtlpdtrp0(xN,esk32_0)))|~(aElementOf0(X7,sdtmndt0(sdtlpdtrp0(xN,esk32_0),szmzizndt0(sdtlpdtrp0(xN,esk32_0)))))))&(((~(aElement0(X7))|~(aElementOf0(X7,sdtlpdtrp0(xN,esk32_0))))|X7=szmzizndt0(sdtlpdtrp0(xN,esk32_0)))|aElementOf0(X7,sdtmndt0(sdtlpdtrp0(xN,esk32_0),szmzizndt0(sdtlpdtrp0(xN,esk32_0))))))&(((~(aElementOf0(X6,sdtlpdtrp0(xN,esk32_0)))|sdtlseqdt0(szmzizndt0(sdtlpdtrp0(xN,esk32_0)),X6))&(aSet0(esk33_0)&aElementOf0(szmzizndt0(sdtlpdtrp0(xN,esk32_0)),sdtlpdtrp0(xN,esk32_0))))&aSet0(sdtmndt0(sdtlpdtrp0(xN,esk32_0),szmzizndt0(sdtlpdtrp0(xN,esk32_0)))))))&aSubsetOf0(esk33_0,sdtmndt0(sdtlpdtrp0(xN,esk32_0),szmzizndt0(sdtlpdtrp0(xN,esk32_0)))))&sbrdtbr0(esk33_0)=xk)&aElementOf0(esk33_0,slbdtsldtrb0(sdtmndt0(sdtlpdtrp0(xN,esk32_0),szmzizndt0(sdtlpdtrp0(xN,esk32_0))),xk))))&aElementOf0(esk32_0,szNzAzT0)),inference(distribute,[status(thm)],[4516])).
% cnf(4518,negated_conjecture,(aElementOf0(esk32_0,szNzAzT0)),inference(split_conjunct,[status(thm)],[4517])).
% cnf(4520,negated_conjecture,(sbrdtbr0(esk33_0)=xk),inference(split_conjunct,[status(thm)],[4517])).
% cnf(4523,negated_conjecture,(aElementOf0(szmzizndt0(sdtlpdtrp0(xN,esk32_0)),sdtlpdtrp0(xN,esk32_0))),inference(split_conjunct,[status(thm)],[4517])).
% cnf(4524,negated_conjecture,(aSet0(esk33_0)),inference(split_conjunct,[status(thm)],[4517])).
% cnf(4527,negated_conjecture,(~aElementOf0(X1,sdtmndt0(sdtlpdtrp0(xN,esk32_0),szmzizndt0(sdtlpdtrp0(xN,esk32_0))))|X1!=szmzizndt0(sdtlpdtrp0(xN,esk32_0))),inference(split_conjunct,[status(thm)],[4517])).
% cnf(4528,negated_conjecture,(aElementOf0(X1,sdtlpdtrp0(xN,esk32_0))|~aElementOf0(X1,sdtmndt0(sdtlpdtrp0(xN,esk32_0),szmzizndt0(sdtlpdtrp0(xN,esk32_0))))),inference(split_conjunct,[status(thm)],[4517])).
% cnf(4530,negated_conjecture,(aElementOf0(X1,sdtmndt0(sdtlpdtrp0(xN,esk32_0),szmzizndt0(sdtlpdtrp0(xN,esk32_0))))|~aElementOf0(X1,esk33_0)),inference(split_conjunct,[status(thm)],[4517])).
% cnf(4535,negated_conjecture,(sbrdtbr0(sdtpldt0(esk33_0,szmzizndt0(sdtlpdtrp0(xN,esk32_0))))!=xK|~aElementOf0(esk34_0,xS)),inference(split_conjunct,[status(thm)],[4517])).
% cnf(4536,negated_conjecture,(aElementOf0(esk34_0,sdtpldt0(esk33_0,szmzizndt0(sdtlpdtrp0(xN,esk32_0))))|sbrdtbr0(sdtpldt0(esk33_0,szmzizndt0(sdtlpdtrp0(xN,esk32_0))))!=xK),inference(split_conjunct,[status(thm)],[4517])).
% cnf(4540,negated_conjecture,(X1=szmzizndt0(sdtlpdtrp0(xN,esk32_0))|aElementOf0(X1,esk33_0)|~aElementOf0(X1,sdtpldt0(esk33_0,szmzizndt0(sdtlpdtrp0(xN,esk32_0))))),inference(split_conjunct,[status(thm)],[4517])).
% cnf(7214,negated_conjecture,(aElementOf0(szmzizndt0(sdtlpdtrp0(xN,esk32_0)),szNzAzT0)|~aElementOf0(esk32_0,szNzAzT0)),inference(spm,[status(thm)],[4370,4523,theory(equality)])).
% cnf(7217,negated_conjecture,(aElementOf0(szmzizndt0(sdtlpdtrp0(xN,esk32_0)),szNzAzT0)|$false),inference(rw,[status(thm)],[7214,4518,theory(equality)])).
% cnf(7218,negated_conjecture,(aElementOf0(szmzizndt0(sdtlpdtrp0(xN,esk32_0)),szNzAzT0)),inference(cn,[status(thm)],[7217,theory(equality)])).
% cnf(7337,negated_conjecture,(aElementOf0(X1,sdtlpdtrp0(xN,esk32_0))|~aElementOf0(X1,esk33_0)),inference(spm,[status(thm)],[4528,4530,theory(equality)])).
% cnf(7362,negated_conjecture,(szmzizndt0(sdtlpdtrp0(xN,esk32_0))!=X1|~aElementOf0(X1,esk33_0)),inference(spm,[status(thm)],[4527,4530,theory(equality)])).
% cnf(7433,plain,(aSubsetOf0(sdtlpdtrp0(xN,X1),xS)|~sdtlseqdt0(sz00,X1)|~aElementOf0(X1,szNzAzT0)|~aElementOf0(sz00,szNzAzT0)),inference(spm,[status(thm)],[4375,4327,theory(equality)])).
% cnf(7435,plain,(aSubsetOf0(sdtlpdtrp0(xN,X1),xS)|~sdtlseqdt0(sz00,X1)|~aElementOf0(X1,szNzAzT0)|$false),inference(rw,[status(thm)],[7433,181,theory(equality)])).
% cnf(7436,plain,(aSubsetOf0(sdtlpdtrp0(xN,X1),xS)|~sdtlseqdt0(sz00,X1)|~aElementOf0(X1,szNzAzT0)),inference(cn,[status(thm)],[7435,theory(equality)])).
% cnf(7780,negated_conjecture,(aElementOf0(esk34_0,sdtpldt0(esk33_0,szmzizndt0(sdtlpdtrp0(xN,esk32_0))))|aElementOf0(szmzizndt0(sdtlpdtrp0(xN,esk32_0)),esk33_0)|szszuzczcdt0(sbrdtbr0(esk33_0))!=xK|~isFinite0(esk33_0)|~aElement0(szmzizndt0(sdtlpdtrp0(xN,esk32_0)))|~aSet0(esk33_0)),inference(spm,[status(thm)],[4536,239,theory(equality)])).
% cnf(7781,negated_conjecture,(aElementOf0(szmzizndt0(sdtlpdtrp0(xN,esk32_0)),esk33_0)|szszuzczcdt0(sbrdtbr0(esk33_0))!=xK|~aElementOf0(esk34_0,xS)|~isFinite0(esk33_0)|~aElement0(szmzizndt0(sdtlpdtrp0(xN,esk32_0)))|~aSet0(esk33_0)),inference(spm,[status(thm)],[4535,239,theory(equality)])).
% cnf(7786,negated_conjecture,(aElementOf0(esk34_0,sdtpldt0(esk33_0,szmzizndt0(sdtlpdtrp0(xN,esk32_0))))|aElementOf0(szmzizndt0(sdtlpdtrp0(xN,esk32_0)),esk33_0)|$false|~isFinite0(esk33_0)|~aElement0(szmzizndt0(sdtlpdtrp0(xN,esk32_0)))|~aSet0(esk33_0)),inference(rw,[status(thm)],[inference(rw,[status(thm)],[7780,4520,theory(equality)]),4320,theory(equality)])).
% cnf(7787,negated_conjecture,(aElementOf0(esk34_0,sdtpldt0(esk33_0,szmzizndt0(sdtlpdtrp0(xN,esk32_0))))|aElementOf0(szmzizndt0(sdtlpdtrp0(xN,esk32_0)),esk33_0)|$false|~isFinite0(esk33_0)|~aElement0(szmzizndt0(sdtlpdtrp0(xN,esk32_0)))|$false),inference(rw,[status(thm)],[7786,4524,theory(equality)])).
% cnf(7788,negated_conjecture,(aElementOf0(esk34_0,sdtpldt0(esk33_0,szmzizndt0(sdtlpdtrp0(xN,esk32_0))))|aElementOf0(szmzizndt0(sdtlpdtrp0(xN,esk32_0)),esk33_0)|~isFinite0(esk33_0)|~aElement0(szmzizndt0(sdtlpdtrp0(xN,esk32_0)))),inference(cn,[status(thm)],[7787,theory(equality)])).
% cnf(7789,negated_conjecture,(aElementOf0(szmzizndt0(sdtlpdtrp0(xN,esk32_0)),esk33_0)|$false|~aElementOf0(esk34_0,xS)|~isFinite0(esk33_0)|~aElement0(szmzizndt0(sdtlpdtrp0(xN,esk32_0)))|~aSet0(esk33_0)),inference(rw,[status(thm)],[inference(rw,[status(thm)],[7781,4520,theory(equality)]),4320,theory(equality)])).
% cnf(7790,negated_conjecture,(aElementOf0(szmzizndt0(sdtlpdtrp0(xN,esk32_0)),esk33_0)|$false|~aElementOf0(esk34_0,xS)|~isFinite0(esk33_0)|~aElement0(szmzizndt0(sdtlpdtrp0(xN,esk32_0)))|$false),inference(rw,[status(thm)],[7789,4524,theory(equality)])).
% cnf(7791,negated_conjecture,(aElementOf0(szmzizndt0(sdtlpdtrp0(xN,esk32_0)),esk33_0)|~aElementOf0(esk34_0,xS)|~isFinite0(esk33_0)|~aElement0(szmzizndt0(sdtlpdtrp0(xN,esk32_0)))),inference(cn,[status(thm)],[7790,theory(equality)])).
% cnf(7818,negated_conjecture,(aElementOf0(szmzizndt0(sdtlpdtrp0(xN,esk32_0)),sdtlpdtrp0(xN,X1))|~sdtlseqdt0(X1,esk32_0)|~aElementOf0(esk32_0,szNzAzT0)|~aElementOf0(X1,szNzAzT0)),inference(spm,[status(thm)],[4376,4523,theory(equality)])).
% cnf(7822,negated_conjecture,(aElementOf0(szmzizndt0(sdtlpdtrp0(xN,esk32_0)),sdtlpdtrp0(xN,X1))|~sdtlseqdt0(X1,esk32_0)|$false|~aElementOf0(X1,szNzAzT0)),inference(rw,[status(thm)],[7818,4518,theory(equality)])).
% cnf(7823,negated_conjecture,(aElementOf0(szmzizndt0(sdtlpdtrp0(xN,esk32_0)),sdtlpdtrp0(xN,X1))|~sdtlseqdt0(X1,esk32_0)|~aElementOf0(X1,szNzAzT0)),inference(cn,[status(thm)],[7822,theory(equality)])).
% cnf(62356,negated_conjecture,(aElement0(szmzizndt0(sdtlpdtrp0(xN,esk32_0)))|~aSet0(szNzAzT0)),inference(spm,[status(thm)],[102,7218,theory(equality)])).
% cnf(62365,negated_conjecture,(aElement0(szmzizndt0(sdtlpdtrp0(xN,esk32_0)))|$false),inference(rw,[status(thm)],[62356,180,theory(equality)])).
% cnf(62366,negated_conjecture,(aElement0(szmzizndt0(sdtlpdtrp0(xN,esk32_0)))),inference(cn,[status(thm)],[62365,theory(equality)])).
% cnf(62463,negated_conjecture,(~aElementOf0(szmzizndt0(sdtlpdtrp0(xN,esk32_0)),esk33_0)),inference(er,[status(thm)],[7362,theory(equality)])).
% cnf(73748,plain,(aSubsetOf0(sdtlpdtrp0(xN,X1),xS)|~aElementOf0(X1,szNzAzT0)),inference(csr,[status(thm)],[7436,201])).
% cnf(73758,plain,(aElementOf0(X1,xS)|~aElementOf0(X1,sdtlpdtrp0(xN,X2))|~aSet0(xS)|~aElementOf0(X2,szNzAzT0)),inference(spm,[status(thm)],[114,73748,theory(equality)])).
% cnf(73788,plain,(aElementOf0(X1,xS)|~aElementOf0(X1,sdtlpdtrp0(xN,X2))|$false|~aElementOf0(X2,szNzAzT0)),inference(rw,[status(thm)],[73758,322,theory(equality)])).
% cnf(73789,plain,(aElementOf0(X1,xS)|~aElementOf0(X1,sdtlpdtrp0(xN,X2))|~aElementOf0(X2,szNzAzT0)),inference(cn,[status(thm)],[73788,theory(equality)])).
% cnf(97387,negated_conjecture,(aElementOf0(esk34_0,sdtpldt0(esk33_0,szmzizndt0(sdtlpdtrp0(xN,esk32_0))))|aElementOf0(szmzizndt0(sdtlpdtrp0(xN,esk32_0)),esk33_0)|~isFinite0(esk33_0)|$false),inference(rw,[status(thm)],[7788,62366,theory(equality)])).
% cnf(97388,negated_conjecture,(aElementOf0(esk34_0,sdtpldt0(esk33_0,szmzizndt0(sdtlpdtrp0(xN,esk32_0))))|aElementOf0(szmzizndt0(sdtlpdtrp0(xN,esk32_0)),esk33_0)|~isFinite0(esk33_0)),inference(cn,[status(thm)],[97387,theory(equality)])).
% cnf(97389,negated_conjecture,(aElementOf0(esk34_0,sdtpldt0(esk33_0,szmzizndt0(sdtlpdtrp0(xN,esk32_0))))|~isFinite0(esk33_0)),inference(sr,[status(thm)],[97388,62463,theory(equality)])).
% cnf(97398,negated_conjecture,(szmzizndt0(sdtlpdtrp0(xN,esk32_0))=esk34_0|aElementOf0(esk34_0,esk33_0)|~isFinite0(esk33_0)),inference(spm,[status(thm)],[4540,97389,theory(equality)])).
% cnf(97461,negated_conjecture,(aElementOf0(szmzizndt0(sdtlpdtrp0(xN,esk32_0)),esk33_0)|~aElementOf0(esk34_0,xS)|~isFinite0(esk33_0)|$false),inference(rw,[status(thm)],[7791,62366,theory(equality)])).
% cnf(97462,negated_conjecture,(aElementOf0(szmzizndt0(sdtlpdtrp0(xN,esk32_0)),esk33_0)|~aElementOf0(esk34_0,xS)|~isFinite0(esk33_0)),inference(cn,[status(thm)],[97461,theory(equality)])).
% cnf(97463,negated_conjecture,(~aElementOf0(esk34_0,xS)|~isFinite0(esk33_0)),inference(sr,[status(thm)],[97462,62463,theory(equality)])).
% cnf(97464,negated_conjecture,(~aElementOf0(esk34_0,xS)|~aElementOf0(sbrdtbr0(esk33_0),szNzAzT0)|~aSet0(esk33_0)),inference(spm,[status(thm)],[97463,235,theory(equality)])).
% cnf(97469,negated_conjecture,(~aElementOf0(esk34_0,xS)|$false|~aSet0(esk33_0)),inference(rw,[status(thm)],[inference(rw,[status(thm)],[97464,4520,theory(equality)]),4321,theory(equality)])).
% cnf(97470,negated_conjecture,(~aElementOf0(esk34_0,xS)|$false|$false),inference(rw,[status(thm)],[97469,4524,theory(equality)])).
% cnf(97471,negated_conjecture,(~aElementOf0(esk34_0,xS)),inference(cn,[status(thm)],[97470,theory(equality)])).
% cnf(99998,negated_conjecture,(aElementOf0(szmzizndt0(sdtlpdtrp0(xN,esk32_0)),xS)|~sdtlseqdt0(sz00,esk32_0)|~aElementOf0(sz00,szNzAzT0)),inference(spm,[status(thm)],[7823,4327,theory(equality)])).
% cnf(100087,negated_conjecture,(aElementOf0(szmzizndt0(sdtlpdtrp0(xN,esk32_0)),xS)|~sdtlseqdt0(sz00,esk32_0)|$false),inference(rw,[status(thm)],[99998,181,theory(equality)])).
% cnf(100088,negated_conjecture,(aElementOf0(szmzizndt0(sdtlpdtrp0(xN,esk32_0)),xS)|~sdtlseqdt0(sz00,esk32_0)),inference(cn,[status(thm)],[100087,theory(equality)])).
% cnf(100377,negated_conjecture,(aElementOf0(esk34_0,xS)|aElementOf0(esk34_0,esk33_0)|~sdtlseqdt0(sz00,esk32_0)|~isFinite0(esk33_0)),inference(spm,[status(thm)],[100088,97398,theory(equality)])).
% cnf(100395,negated_conjecture,(aElementOf0(esk34_0,esk33_0)|~sdtlseqdt0(sz00,esk32_0)|~isFinite0(esk33_0)),inference(sr,[status(thm)],[100377,97471,theory(equality)])).
% cnf(100617,negated_conjecture,(aElementOf0(esk34_0,esk33_0)|~sdtlseqdt0(sz00,esk32_0)|~aElementOf0(sbrdtbr0(esk33_0),szNzAzT0)|~aSet0(esk33_0)),inference(spm,[status(thm)],[100395,235,theory(equality)])).
% cnf(100622,negated_conjecture,(aElementOf0(esk34_0,esk33_0)|~sdtlseqdt0(sz00,esk32_0)|$false|~aSet0(esk33_0)),inference(rw,[status(thm)],[inference(rw,[status(thm)],[100617,4520,theory(equality)]),4321,theory(equality)])).
% cnf(100623,negated_conjecture,(aElementOf0(esk34_0,esk33_0)|~sdtlseqdt0(sz00,esk32_0)|$false|$false),inference(rw,[status(thm)],[100622,4524,theory(equality)])).
% cnf(100624,negated_conjecture,(aElementOf0(esk34_0,esk33_0)|~sdtlseqdt0(sz00,esk32_0)),inference(cn,[status(thm)],[100623,theory(equality)])).
% cnf(100631,negated_conjecture,(aElementOf0(esk34_0,esk33_0)|~aElementOf0(esk32_0,szNzAzT0)),inference(spm,[status(thm)],[100624,201,theory(equality)])).
% cnf(100642,negated_conjecture,(aElementOf0(esk34_0,esk33_0)|$false),inference(rw,[status(thm)],[100631,4518,theory(equality)])).
% cnf(100643,negated_conjecture,(aElementOf0(esk34_0,esk33_0)),inference(cn,[status(thm)],[100642,theory(equality)])).
% cnf(129147,negated_conjecture,(aElementOf0(X1,xS)|~aElementOf0(esk32_0,szNzAzT0)|~aElementOf0(X1,esk33_0)),inference(spm,[status(thm)],[73789,7337,theory(equality)])).
% cnf(129257,negated_conjecture,(aElementOf0(X1,xS)|$false|~aElementOf0(X1,esk33_0)),inference(rw,[status(thm)],[129147,4518,theory(equality)])).
% cnf(129258,negated_conjecture,(aElementOf0(X1,xS)|~aElementOf0(X1,esk33_0)),inference(cn,[status(thm)],[129257,theory(equality)])).
% cnf(129371,negated_conjecture,(aElementOf0(esk34_0,xS)),inference(spm,[status(thm)],[129258,100643,theory(equality)])).
% cnf(129397,negated_conjecture,($false),inference(sr,[status(thm)],[129371,97471,theory(equality)])).
% cnf(129398,negated_conjecture,($false),129397,['proof']).
% # SZS output end CNFRefutation
% # Processed clauses : 9808
% # ...of these trivial : 130
% # ...subsumed : 2911
% # ...remaining for further processing: 6767
% # Other redundant clauses eliminated : 35
% # Clauses deleted for lack of memory : 0
% # Backward-subsumed : 499
% # Backward-rewritten : 25
% # Generated clauses : 84120
% # ...of the previous two non-trivial : 68860
% # Contextual simplify-reflections : 4810
% # Paramodulations : 83980
% # Factorizations : 6
% # Equation resolutions : 130
% # Current number of processed clauses: 3635
% # Positive orientable unit clauses: 122
% # Positive unorientable unit clauses: 0
% # Negative unit clauses : 69
% # Non-unit-clauses : 3444
% # Current number of unprocessed clauses: 54330
% # ...number of literals in the above : 727052
% # Clause-clause subsumption calls (NU) : 850235
% # Rec. Clause-clause subsumption calls : 113533
% # Unit Clause-clause subsumption calls : 79746
% # Rewrite failures with RHS unbound : 0
% # Indexed BW rewrite attempts : 23
% # Indexed BW rewrite successes : 13
% # Backwards rewriting index: 1134 leaves, 1.41+/-1.350 terms/leaf
% # Paramod-from index: 528 leaves, 1.07+/-0.296 terms/leaf
% # Paramod-into index: 940 leaves, 1.25+/-0.804 terms/leaf
% # -------------------------------------------------
% # User time : 11.176 s
% # System time : 0.209 s
% # Total time : 11.385 s
% # Maximum resident set size: 0 pages
% PrfWatch: 15.00 CPU 15.18 WC
% FINAL PrfWatch: 15.00 CPU 15.18 WC
% SZS output end Solution for /tmp/SystemOnTPTP9137/NUM579+3.tptp
%
%------------------------------------------------------------------------------