TSTP Solution File: NUM592+3 by SRASS---0.1
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- Process Solution
%------------------------------------------------------------------------------
% File : SRASS---0.1
% Problem : NUM592+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 20:26:53 EST 2010
% Result : Theorem 18.63s
% Output : Solution 18.63s
% 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/SystemOnTPTP15217/NUM592+3.tptp
% Adding relevance values
% Extracting the conjecture
% Sorting axioms by relevance
% Looking for THM ...
% found
% SZS status THM for /tmp/SystemOnTPTP15217/NUM592+3.tptp
% SZS output start Solution for /tmp/SystemOnTPTP15217/NUM592+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 15313
% TreeLimitedRun: ----------------------------------------------------------
% PrfWatch: 0.00 CPU 0.00 WC
% PrfWatch: 1.92 CPU 2.01 WC
% PrfWatch: 3.91 CPU 4.01 WC
% PrfWatch: 5.91 CPU 6.02 WC
% PrfWatch: 7.90 CPU 8.02 WC
% PrfWatch: 9.89 CPU 10.03 WC
% PrfWatch: 11.89 CPU 12.03 WC
% # Preprocessing time : 0.616 s
% # Problem is unsatisfiable (or provable), constructing proof object
% # SZS status Theorem
% PrfWatch: 13.87 CPU 14.04 WC
% PrfWatch: 15.50 CPU 16.04 WC
% PrfWatch: 17.16 CPU 18.05 WC
% # SZS output start CNFRefutation.
% 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(7, axiom,![X1]:![X2]:![X3]:(((aSet0(X1)&aSet0(X2))&aSet0(X3))=>((aSubsetOf0(X1,X2)&aSubsetOf0(X2,X3))=>aSubsetOf0(X1,X3))),file('/tmp/SRASS.s.p', mSubTrans)).
% fof(64, axiom,(((((aElementOf0(szmzizndt0(sdtlpdtrp0(xN,xi)),sdtlpdtrp0(xN,xi))&![X1]:(aElementOf0(X1,sdtlpdtrp0(xN,xi))=>sdtlseqdt0(szmzizndt0(sdtlpdtrp0(xN,xi)),X1)))&aSet0(xY))&![X1]:(aElementOf0(X1,xY)<=>((aElement0(X1)&aElementOf0(X1,sdtlpdtrp0(xN,xi)))&~(X1=szmzizndt0(sdtlpdtrp0(xN,xi))))))&xY=sdtmndt0(sdtlpdtrp0(xN,xi),szmzizndt0(sdtlpdtrp0(xN,xi))))&xd=sdtlpdtrp0(xC,xi)),file('/tmp/SRASS.s.p', m__4448_02)).
% fof(66, axiom,(((((aElementOf0(xu,xT)&aSet0(xX))&![X1]:(aElementOf0(X1,xX)=>aElementOf0(X1,xY)))&aSubsetOf0(xX,xY))&isCountable0(xX))&![X1]:((aSet0(X1)&(((![X2]:(aElementOf0(X2,X1)=>aElementOf0(X2,xX))|aSubsetOf0(X1,xX))&sbrdtbr0(X1)=xk)|aElementOf0(X1,slbdtsldtrb0(xX,xk))))=>sdtlpdtrp0(xd,X1)=xu)),file('/tmp/SRASS.s.p', m__4545)).
% fof(94, conjecture,?[X1]:(aElementOf0(X1,xT)&?[X2]:((((aElementOf0(szmzizndt0(sdtlpdtrp0(xN,xi)),sdtlpdtrp0(xN,xi))&![X3]:(aElementOf0(X3,sdtlpdtrp0(xN,xi))=>sdtlseqdt0(szmzizndt0(sdtlpdtrp0(xN,xi)),X3)))=>((aSet0(sdtmndt0(sdtlpdtrp0(xN,xi),szmzizndt0(sdtlpdtrp0(xN,xi))))&![X3]:(aElementOf0(X3,sdtmndt0(sdtlpdtrp0(xN,xi),szmzizndt0(sdtlpdtrp0(xN,xi))))<=>((aElement0(X3)&aElementOf0(X3,sdtlpdtrp0(xN,xi)))&~(X3=szmzizndt0(sdtlpdtrp0(xN,xi))))))=>((aSet0(X2)&![X3]:(aElementOf0(X3,X2)=>aElementOf0(X3,sdtmndt0(sdtlpdtrp0(xN,xi),szmzizndt0(sdtlpdtrp0(xN,xi))))))|aSubsetOf0(X2,sdtmndt0(sdtlpdtrp0(xN,xi),szmzizndt0(sdtlpdtrp0(xN,xi)))))))&isCountable0(X2))&![X3]:(((((aSet0(X3)&![X4]:(aElementOf0(X4,X3)=>aElementOf0(X4,X2)))&aSubsetOf0(X3,X2))&sbrdtbr0(X3)=xk)&aElementOf0(X3,slbdtsldtrb0(X2,xk)))=>sdtlpdtrp0(sdtlpdtrp0(xC,xi),X3)=X1))),file('/tmp/SRASS.s.p', m__)).
% fof(95, negated_conjecture,~(?[X1]:(aElementOf0(X1,xT)&?[X2]:((((aElementOf0(szmzizndt0(sdtlpdtrp0(xN,xi)),sdtlpdtrp0(xN,xi))&![X3]:(aElementOf0(X3,sdtlpdtrp0(xN,xi))=>sdtlseqdt0(szmzizndt0(sdtlpdtrp0(xN,xi)),X3)))=>((aSet0(sdtmndt0(sdtlpdtrp0(xN,xi),szmzizndt0(sdtlpdtrp0(xN,xi))))&![X3]:(aElementOf0(X3,sdtmndt0(sdtlpdtrp0(xN,xi),szmzizndt0(sdtlpdtrp0(xN,xi))))<=>((aElement0(X3)&aElementOf0(X3,sdtlpdtrp0(xN,xi)))&~(X3=szmzizndt0(sdtlpdtrp0(xN,xi))))))=>((aSet0(X2)&![X3]:(aElementOf0(X3,X2)=>aElementOf0(X3,sdtmndt0(sdtlpdtrp0(xN,xi),szmzizndt0(sdtlpdtrp0(xN,xi))))))|aSubsetOf0(X2,sdtmndt0(sdtlpdtrp0(xN,xi),szmzizndt0(sdtlpdtrp0(xN,xi)))))))&isCountable0(X2))&![X3]:(((((aSet0(X3)&![X4]:(aElementOf0(X4,X3)=>aElementOf0(X4,X2)))&aSubsetOf0(X3,X2))&sbrdtbr0(X3)=xk)&aElementOf0(X3,slbdtsldtrb0(X2,xk)))=>sdtlpdtrp0(sdtlpdtrp0(xC,xi),X3)=X1)))),inference(assume_negation,[status(cth)],[94])).
% fof(111, plain,![X1]:(?[X2]:((((aElementOf0(szmzizndt0(sdtlpdtrp0(xN,xi)),sdtlpdtrp0(xN,xi))&![X3]:(aElementOf0(X3,sdtlpdtrp0(xN,xi))=>sdtlseqdt0(szmzizndt0(sdtlpdtrp0(xN,xi)),X3)))=>((aSet0(sdtmndt0(sdtlpdtrp0(xN,xi),szmzizndt0(sdtlpdtrp0(xN,xi))))&![X3]:(aElementOf0(X3,sdtmndt0(sdtlpdtrp0(xN,xi),szmzizndt0(sdtlpdtrp0(xN,xi))))<=>((aElement0(X3)&aElementOf0(X3,sdtlpdtrp0(xN,xi)))&~(X3=szmzizndt0(sdtlpdtrp0(xN,xi))))))=>((aSet0(X2)&![X3]:(aElementOf0(X3,X2)=>aElementOf0(X3,sdtmndt0(sdtlpdtrp0(xN,xi),szmzizndt0(sdtlpdtrp0(xN,xi))))))|aSubsetOf0(X2,sdtmndt0(sdtlpdtrp0(xN,xi),szmzizndt0(sdtlpdtrp0(xN,xi)))))))&isCountable0(X2))&![X3]:(((((aSet0(X3)&![X4]:(aElementOf0(X4,X3)=>aElementOf0(X4,X2)))&aSubsetOf0(X3,X2))&sbrdtbr0(X3)=xk)&aElementOf0(X3,slbdtsldtrb0(X2,xk)))=>sdtlpdtrp0(sdtlpdtrp0(xC,xi),X3)=X1))=>epred4_1(X1)),introduced(definition)).
% fof(115, negated_conjecture,~(?[X1]:(aElementOf0(X1,xT)&epred4_1(X1))),inference(apply_def,[status(esa)],[95,111,theory(equality)])).
% fof(123, 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(124, 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)],[123])).
% fof(125, 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)],[124])).
% fof(126, 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)],[125])).
% fof(127, 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)],[126])).
% cnf(130,plain,(aSet0(X2)|~aSet0(X1)|~aSubsetOf0(X2,X1)),inference(split_conjunct,[status(thm)],[127])).
% fof(142, plain,![X1]:![X2]:![X3]:(((~(aSet0(X1))|~(aSet0(X2)))|~(aSet0(X3)))|((~(aSubsetOf0(X1,X2))|~(aSubsetOf0(X2,X3)))|aSubsetOf0(X1,X3))),inference(fof_nnf,[status(thm)],[7])).
% fof(143, plain,![X4]:![X5]:![X6]:(((~(aSet0(X4))|~(aSet0(X5)))|~(aSet0(X6)))|((~(aSubsetOf0(X4,X5))|~(aSubsetOf0(X5,X6)))|aSubsetOf0(X4,X6))),inference(variable_rename,[status(thm)],[142])).
% cnf(144,plain,(aSubsetOf0(X1,X2)|~aSubsetOf0(X3,X2)|~aSubsetOf0(X1,X3)|~aSet0(X2)|~aSet0(X3)|~aSet0(X1)),inference(split_conjunct,[status(thm)],[143])).
% fof(4429, plain,(((((aElementOf0(szmzizndt0(sdtlpdtrp0(xN,xi)),sdtlpdtrp0(xN,xi))&![X1]:(~(aElementOf0(X1,sdtlpdtrp0(xN,xi)))|sdtlseqdt0(szmzizndt0(sdtlpdtrp0(xN,xi)),X1)))&aSet0(xY))&![X1]:((~(aElementOf0(X1,xY))|((aElement0(X1)&aElementOf0(X1,sdtlpdtrp0(xN,xi)))&~(X1=szmzizndt0(sdtlpdtrp0(xN,xi)))))&(((~(aElement0(X1))|~(aElementOf0(X1,sdtlpdtrp0(xN,xi))))|X1=szmzizndt0(sdtlpdtrp0(xN,xi)))|aElementOf0(X1,xY))))&xY=sdtmndt0(sdtlpdtrp0(xN,xi),szmzizndt0(sdtlpdtrp0(xN,xi))))&xd=sdtlpdtrp0(xC,xi)),inference(fof_nnf,[status(thm)],[64])).
% fof(4430, plain,(((((aElementOf0(szmzizndt0(sdtlpdtrp0(xN,xi)),sdtlpdtrp0(xN,xi))&![X2]:(~(aElementOf0(X2,sdtlpdtrp0(xN,xi)))|sdtlseqdt0(szmzizndt0(sdtlpdtrp0(xN,xi)),X2)))&aSet0(xY))&![X3]:((~(aElementOf0(X3,xY))|((aElement0(X3)&aElementOf0(X3,sdtlpdtrp0(xN,xi)))&~(X3=szmzizndt0(sdtlpdtrp0(xN,xi)))))&(((~(aElement0(X3))|~(aElementOf0(X3,sdtlpdtrp0(xN,xi))))|X3=szmzizndt0(sdtlpdtrp0(xN,xi)))|aElementOf0(X3,xY))))&xY=sdtmndt0(sdtlpdtrp0(xN,xi),szmzizndt0(sdtlpdtrp0(xN,xi))))&xd=sdtlpdtrp0(xC,xi)),inference(variable_rename,[status(thm)],[4429])).
% fof(4431, plain,![X2]:![X3]:(((((~(aElementOf0(X3,xY))|((aElement0(X3)&aElementOf0(X3,sdtlpdtrp0(xN,xi)))&~(X3=szmzizndt0(sdtlpdtrp0(xN,xi)))))&(((~(aElement0(X3))|~(aElementOf0(X3,sdtlpdtrp0(xN,xi))))|X3=szmzizndt0(sdtlpdtrp0(xN,xi)))|aElementOf0(X3,xY)))&(((~(aElementOf0(X2,sdtlpdtrp0(xN,xi)))|sdtlseqdt0(szmzizndt0(sdtlpdtrp0(xN,xi)),X2))&aElementOf0(szmzizndt0(sdtlpdtrp0(xN,xi)),sdtlpdtrp0(xN,xi)))&aSet0(xY)))&xY=sdtmndt0(sdtlpdtrp0(xN,xi),szmzizndt0(sdtlpdtrp0(xN,xi))))&xd=sdtlpdtrp0(xC,xi)),inference(shift_quantors,[status(thm)],[4430])).
% fof(4432, plain,![X2]:![X3]:(((((((aElement0(X3)|~(aElementOf0(X3,xY)))&(aElementOf0(X3,sdtlpdtrp0(xN,xi))|~(aElementOf0(X3,xY))))&(~(X3=szmzizndt0(sdtlpdtrp0(xN,xi)))|~(aElementOf0(X3,xY))))&(((~(aElement0(X3))|~(aElementOf0(X3,sdtlpdtrp0(xN,xi))))|X3=szmzizndt0(sdtlpdtrp0(xN,xi)))|aElementOf0(X3,xY)))&(((~(aElementOf0(X2,sdtlpdtrp0(xN,xi)))|sdtlseqdt0(szmzizndt0(sdtlpdtrp0(xN,xi)),X2))&aElementOf0(szmzizndt0(sdtlpdtrp0(xN,xi)),sdtlpdtrp0(xN,xi)))&aSet0(xY)))&xY=sdtmndt0(sdtlpdtrp0(xN,xi),szmzizndt0(sdtlpdtrp0(xN,xi))))&xd=sdtlpdtrp0(xC,xi)),inference(distribute,[status(thm)],[4431])).
% cnf(4433,plain,(xd=sdtlpdtrp0(xC,xi)),inference(split_conjunct,[status(thm)],[4432])).
% cnf(4434,plain,(xY=sdtmndt0(sdtlpdtrp0(xN,xi),szmzizndt0(sdtlpdtrp0(xN,xi)))),inference(split_conjunct,[status(thm)],[4432])).
% cnf(4435,plain,(aSet0(xY)),inference(split_conjunct,[status(thm)],[4432])).
% fof(4462, plain,(((((aElementOf0(xu,xT)&aSet0(xX))&![X1]:(~(aElementOf0(X1,xX))|aElementOf0(X1,xY)))&aSubsetOf0(xX,xY))&isCountable0(xX))&![X1]:((~(aSet0(X1))|(((?[X2]:(aElementOf0(X2,X1)&~(aElementOf0(X2,xX)))&~(aSubsetOf0(X1,xX)))|~(sbrdtbr0(X1)=xk))&~(aElementOf0(X1,slbdtsldtrb0(xX,xk)))))|sdtlpdtrp0(xd,X1)=xu)),inference(fof_nnf,[status(thm)],[66])).
% fof(4463, plain,(((((aElementOf0(xu,xT)&aSet0(xX))&![X3]:(~(aElementOf0(X3,xX))|aElementOf0(X3,xY)))&aSubsetOf0(xX,xY))&isCountable0(xX))&![X4]:((~(aSet0(X4))|(((?[X5]:(aElementOf0(X5,X4)&~(aElementOf0(X5,xX)))&~(aSubsetOf0(X4,xX)))|~(sbrdtbr0(X4)=xk))&~(aElementOf0(X4,slbdtsldtrb0(xX,xk)))))|sdtlpdtrp0(xd,X4)=xu)),inference(variable_rename,[status(thm)],[4462])).
% fof(4464, plain,(((((aElementOf0(xu,xT)&aSet0(xX))&![X3]:(~(aElementOf0(X3,xX))|aElementOf0(X3,xY)))&aSubsetOf0(xX,xY))&isCountable0(xX))&![X4]:((~(aSet0(X4))|((((aElementOf0(esk28_1(X4),X4)&~(aElementOf0(esk28_1(X4),xX)))&~(aSubsetOf0(X4,xX)))|~(sbrdtbr0(X4)=xk))&~(aElementOf0(X4,slbdtsldtrb0(xX,xk)))))|sdtlpdtrp0(xd,X4)=xu)),inference(skolemize,[status(esa)],[4463])).
% fof(4465, plain,![X3]:![X4]:(((~(aSet0(X4))|((((aElementOf0(esk28_1(X4),X4)&~(aElementOf0(esk28_1(X4),xX)))&~(aSubsetOf0(X4,xX)))|~(sbrdtbr0(X4)=xk))&~(aElementOf0(X4,slbdtsldtrb0(xX,xk)))))|sdtlpdtrp0(xd,X4)=xu)&((((~(aElementOf0(X3,xX))|aElementOf0(X3,xY))&(aElementOf0(xu,xT)&aSet0(xX)))&aSubsetOf0(xX,xY))&isCountable0(xX))),inference(shift_quantors,[status(thm)],[4464])).
% fof(4466, plain,![X3]:![X4]:(((((((aElementOf0(esk28_1(X4),X4)|~(sbrdtbr0(X4)=xk))|~(aSet0(X4)))|sdtlpdtrp0(xd,X4)=xu)&(((~(aElementOf0(esk28_1(X4),xX))|~(sbrdtbr0(X4)=xk))|~(aSet0(X4)))|sdtlpdtrp0(xd,X4)=xu))&(((~(aSubsetOf0(X4,xX))|~(sbrdtbr0(X4)=xk))|~(aSet0(X4)))|sdtlpdtrp0(xd,X4)=xu))&((~(aElementOf0(X4,slbdtsldtrb0(xX,xk)))|~(aSet0(X4)))|sdtlpdtrp0(xd,X4)=xu))&((((~(aElementOf0(X3,xX))|aElementOf0(X3,xY))&(aElementOf0(xu,xT)&aSet0(xX)))&aSubsetOf0(xX,xY))&isCountable0(xX))),inference(distribute,[status(thm)],[4465])).
% cnf(4467,plain,(isCountable0(xX)),inference(split_conjunct,[status(thm)],[4466])).
% cnf(4468,plain,(aSubsetOf0(xX,xY)),inference(split_conjunct,[status(thm)],[4466])).
% cnf(4470,plain,(aElementOf0(xu,xT)),inference(split_conjunct,[status(thm)],[4466])).
% cnf(4473,plain,(sdtlpdtrp0(xd,X1)=xu|~aSet0(X1)|sbrdtbr0(X1)!=xk|~aSubsetOf0(X1,xX)),inference(split_conjunct,[status(thm)],[4466])).
% fof(4602, negated_conjecture,![X1]:(~(aElementOf0(X1,xT))|~(epred4_1(X1))),inference(fof_nnf,[status(thm)],[115])).
% fof(4603, negated_conjecture,![X2]:(~(aElementOf0(X2,xT))|~(epred4_1(X2))),inference(variable_rename,[status(thm)],[4602])).
% cnf(4604,negated_conjecture,(~epred4_1(X1)|~aElementOf0(X1,xT)),inference(split_conjunct,[status(thm)],[4603])).
% fof(5234, plain,![X1]:(![X2]:((((aElementOf0(szmzizndt0(sdtlpdtrp0(xN,xi)),sdtlpdtrp0(xN,xi))&![X3]:(~(aElementOf0(X3,sdtlpdtrp0(xN,xi)))|sdtlseqdt0(szmzizndt0(sdtlpdtrp0(xN,xi)),X3)))&((aSet0(sdtmndt0(sdtlpdtrp0(xN,xi),szmzizndt0(sdtlpdtrp0(xN,xi))))&![X3]:((~(aElementOf0(X3,sdtmndt0(sdtlpdtrp0(xN,xi),szmzizndt0(sdtlpdtrp0(xN,xi)))))|((aElement0(X3)&aElementOf0(X3,sdtlpdtrp0(xN,xi)))&~(X3=szmzizndt0(sdtlpdtrp0(xN,xi)))))&(((~(aElement0(X3))|~(aElementOf0(X3,sdtlpdtrp0(xN,xi))))|X3=szmzizndt0(sdtlpdtrp0(xN,xi)))|aElementOf0(X3,sdtmndt0(sdtlpdtrp0(xN,xi),szmzizndt0(sdtlpdtrp0(xN,xi)))))))&((~(aSet0(X2))|?[X3]:(aElementOf0(X3,X2)&~(aElementOf0(X3,sdtmndt0(sdtlpdtrp0(xN,xi),szmzizndt0(sdtlpdtrp0(xN,xi)))))))&~(aSubsetOf0(X2,sdtmndt0(sdtlpdtrp0(xN,xi),szmzizndt0(sdtlpdtrp0(xN,xi))))))))|~(isCountable0(X2)))|?[X3]:(((((aSet0(X3)&![X4]:(~(aElementOf0(X4,X3))|aElementOf0(X4,X2)))&aSubsetOf0(X3,X2))&sbrdtbr0(X3)=xk)&aElementOf0(X3,slbdtsldtrb0(X2,xk)))&~(sdtlpdtrp0(sdtlpdtrp0(xC,xi),X3)=X1)))|epred4_1(X1)),inference(fof_nnf,[status(thm)],[111])).
% fof(5235, plain,![X5]:(![X6]:((((aElementOf0(szmzizndt0(sdtlpdtrp0(xN,xi)),sdtlpdtrp0(xN,xi))&![X7]:(~(aElementOf0(X7,sdtlpdtrp0(xN,xi)))|sdtlseqdt0(szmzizndt0(sdtlpdtrp0(xN,xi)),X7)))&((aSet0(sdtmndt0(sdtlpdtrp0(xN,xi),szmzizndt0(sdtlpdtrp0(xN,xi))))&![X8]:((~(aElementOf0(X8,sdtmndt0(sdtlpdtrp0(xN,xi),szmzizndt0(sdtlpdtrp0(xN,xi)))))|((aElement0(X8)&aElementOf0(X8,sdtlpdtrp0(xN,xi)))&~(X8=szmzizndt0(sdtlpdtrp0(xN,xi)))))&(((~(aElement0(X8))|~(aElementOf0(X8,sdtlpdtrp0(xN,xi))))|X8=szmzizndt0(sdtlpdtrp0(xN,xi)))|aElementOf0(X8,sdtmndt0(sdtlpdtrp0(xN,xi),szmzizndt0(sdtlpdtrp0(xN,xi)))))))&((~(aSet0(X6))|?[X9]:(aElementOf0(X9,X6)&~(aElementOf0(X9,sdtmndt0(sdtlpdtrp0(xN,xi),szmzizndt0(sdtlpdtrp0(xN,xi)))))))&~(aSubsetOf0(X6,sdtmndt0(sdtlpdtrp0(xN,xi),szmzizndt0(sdtlpdtrp0(xN,xi))))))))|~(isCountable0(X6)))|?[X10]:(((((aSet0(X10)&![X11]:(~(aElementOf0(X11,X10))|aElementOf0(X11,X6)))&aSubsetOf0(X10,X6))&sbrdtbr0(X10)=xk)&aElementOf0(X10,slbdtsldtrb0(X6,xk)))&~(sdtlpdtrp0(sdtlpdtrp0(xC,xi),X10)=X5)))|epred4_1(X5)),inference(variable_rename,[status(thm)],[5234])).
% fof(5236, plain,![X5]:(![X6]:((((aElementOf0(szmzizndt0(sdtlpdtrp0(xN,xi)),sdtlpdtrp0(xN,xi))&![X7]:(~(aElementOf0(X7,sdtlpdtrp0(xN,xi)))|sdtlseqdt0(szmzizndt0(sdtlpdtrp0(xN,xi)),X7)))&((aSet0(sdtmndt0(sdtlpdtrp0(xN,xi),szmzizndt0(sdtlpdtrp0(xN,xi))))&![X8]:((~(aElementOf0(X8,sdtmndt0(sdtlpdtrp0(xN,xi),szmzizndt0(sdtlpdtrp0(xN,xi)))))|((aElement0(X8)&aElementOf0(X8,sdtlpdtrp0(xN,xi)))&~(X8=szmzizndt0(sdtlpdtrp0(xN,xi)))))&(((~(aElement0(X8))|~(aElementOf0(X8,sdtlpdtrp0(xN,xi))))|X8=szmzizndt0(sdtlpdtrp0(xN,xi)))|aElementOf0(X8,sdtmndt0(sdtlpdtrp0(xN,xi),szmzizndt0(sdtlpdtrp0(xN,xi)))))))&((~(aSet0(X6))|(aElementOf0(esk41_2(X5,X6),X6)&~(aElementOf0(esk41_2(X5,X6),sdtmndt0(sdtlpdtrp0(xN,xi),szmzizndt0(sdtlpdtrp0(xN,xi)))))))&~(aSubsetOf0(X6,sdtmndt0(sdtlpdtrp0(xN,xi),szmzizndt0(sdtlpdtrp0(xN,xi))))))))|~(isCountable0(X6)))|(((((aSet0(esk42_2(X5,X6))&![X11]:(~(aElementOf0(X11,esk42_2(X5,X6)))|aElementOf0(X11,X6)))&aSubsetOf0(esk42_2(X5,X6),X6))&sbrdtbr0(esk42_2(X5,X6))=xk)&aElementOf0(esk42_2(X5,X6),slbdtsldtrb0(X6,xk)))&~(sdtlpdtrp0(sdtlpdtrp0(xC,xi),esk42_2(X5,X6))=X5)))|epred4_1(X5)),inference(skolemize,[status(esa)],[5235])).
% fof(5237, plain,![X5]:![X6]:![X7]:![X8]:![X11]:((((((((~(aElementOf0(X11,esk42_2(X5,X6)))|aElementOf0(X11,X6))&aSet0(esk42_2(X5,X6)))&aSubsetOf0(esk42_2(X5,X6),X6))&sbrdtbr0(esk42_2(X5,X6))=xk)&aElementOf0(esk42_2(X5,X6),slbdtsldtrb0(X6,xk)))&~(sdtlpdtrp0(sdtlpdtrp0(xC,xi),esk42_2(X5,X6))=X5))|((((((~(aElementOf0(X8,sdtmndt0(sdtlpdtrp0(xN,xi),szmzizndt0(sdtlpdtrp0(xN,xi)))))|((aElement0(X8)&aElementOf0(X8,sdtlpdtrp0(xN,xi)))&~(X8=szmzizndt0(sdtlpdtrp0(xN,xi)))))&(((~(aElement0(X8))|~(aElementOf0(X8,sdtlpdtrp0(xN,xi))))|X8=szmzizndt0(sdtlpdtrp0(xN,xi)))|aElementOf0(X8,sdtmndt0(sdtlpdtrp0(xN,xi),szmzizndt0(sdtlpdtrp0(xN,xi))))))&aSet0(sdtmndt0(sdtlpdtrp0(xN,xi),szmzizndt0(sdtlpdtrp0(xN,xi)))))&((~(aSet0(X6))|(aElementOf0(esk41_2(X5,X6),X6)&~(aElementOf0(esk41_2(X5,X6),sdtmndt0(sdtlpdtrp0(xN,xi),szmzizndt0(sdtlpdtrp0(xN,xi)))))))&~(aSubsetOf0(X6,sdtmndt0(sdtlpdtrp0(xN,xi),szmzizndt0(sdtlpdtrp0(xN,xi)))))))&((~(aElementOf0(X7,sdtlpdtrp0(xN,xi)))|sdtlseqdt0(szmzizndt0(sdtlpdtrp0(xN,xi)),X7))&aElementOf0(szmzizndt0(sdtlpdtrp0(xN,xi)),sdtlpdtrp0(xN,xi))))|~(isCountable0(X6))))|epred4_1(X5)),inference(shift_quantors,[status(thm)],[5236])).
% fof(5238, plain,![X5]:![X6]:![X7]:![X8]:![X11]:(((((((((((((((aElement0(X8)|~(aElementOf0(X8,sdtmndt0(sdtlpdtrp0(xN,xi),szmzizndt0(sdtlpdtrp0(xN,xi))))))|~(isCountable0(X6)))|(~(aElementOf0(X11,esk42_2(X5,X6)))|aElementOf0(X11,X6)))|epred4_1(X5))&((((aElementOf0(X8,sdtlpdtrp0(xN,xi))|~(aElementOf0(X8,sdtmndt0(sdtlpdtrp0(xN,xi),szmzizndt0(sdtlpdtrp0(xN,xi))))))|~(isCountable0(X6)))|(~(aElementOf0(X11,esk42_2(X5,X6)))|aElementOf0(X11,X6)))|epred4_1(X5)))&((((~(X8=szmzizndt0(sdtlpdtrp0(xN,xi)))|~(aElementOf0(X8,sdtmndt0(sdtlpdtrp0(xN,xi),szmzizndt0(sdtlpdtrp0(xN,xi))))))|~(isCountable0(X6)))|(~(aElementOf0(X11,esk42_2(X5,X6)))|aElementOf0(X11,X6)))|epred4_1(X5)))&((((((~(aElement0(X8))|~(aElementOf0(X8,sdtlpdtrp0(xN,xi))))|X8=szmzizndt0(sdtlpdtrp0(xN,xi)))|aElementOf0(X8,sdtmndt0(sdtlpdtrp0(xN,xi),szmzizndt0(sdtlpdtrp0(xN,xi)))))|~(isCountable0(X6)))|(~(aElementOf0(X11,esk42_2(X5,X6)))|aElementOf0(X11,X6)))|epred4_1(X5)))&(((aSet0(sdtmndt0(sdtlpdtrp0(xN,xi),szmzizndt0(sdtlpdtrp0(xN,xi))))|~(isCountable0(X6)))|(~(aElementOf0(X11,esk42_2(X5,X6)))|aElementOf0(X11,X6)))|epred4_1(X5)))&((((((aElementOf0(esk41_2(X5,X6),X6)|~(aSet0(X6)))|~(isCountable0(X6)))|(~(aElementOf0(X11,esk42_2(X5,X6)))|aElementOf0(X11,X6)))|epred4_1(X5))&((((~(aElementOf0(esk41_2(X5,X6),sdtmndt0(sdtlpdtrp0(xN,xi),szmzizndt0(sdtlpdtrp0(xN,xi)))))|~(aSet0(X6)))|~(isCountable0(X6)))|(~(aElementOf0(X11,esk42_2(X5,X6)))|aElementOf0(X11,X6)))|epred4_1(X5)))&(((~(aSubsetOf0(X6,sdtmndt0(sdtlpdtrp0(xN,xi),szmzizndt0(sdtlpdtrp0(xN,xi)))))|~(isCountable0(X6)))|(~(aElementOf0(X11,esk42_2(X5,X6)))|aElementOf0(X11,X6)))|epred4_1(X5))))&(((((~(aElementOf0(X7,sdtlpdtrp0(xN,xi)))|sdtlseqdt0(szmzizndt0(sdtlpdtrp0(xN,xi)),X7))|~(isCountable0(X6)))|(~(aElementOf0(X11,esk42_2(X5,X6)))|aElementOf0(X11,X6)))|epred4_1(X5))&(((aElementOf0(szmzizndt0(sdtlpdtrp0(xN,xi)),sdtlpdtrp0(xN,xi))|~(isCountable0(X6)))|(~(aElementOf0(X11,esk42_2(X5,X6)))|aElementOf0(X11,X6)))|epred4_1(X5))))&((((((((((aElement0(X8)|~(aElementOf0(X8,sdtmndt0(sdtlpdtrp0(xN,xi),szmzizndt0(sdtlpdtrp0(xN,xi))))))|~(isCountable0(X6)))|aSet0(esk42_2(X5,X6)))|epred4_1(X5))&((((aElementOf0(X8,sdtlpdtrp0(xN,xi))|~(aElementOf0(X8,sdtmndt0(sdtlpdtrp0(xN,xi),szmzizndt0(sdtlpdtrp0(xN,xi))))))|~(isCountable0(X6)))|aSet0(esk42_2(X5,X6)))|epred4_1(X5)))&((((~(X8=szmzizndt0(sdtlpdtrp0(xN,xi)))|~(aElementOf0(X8,sdtmndt0(sdtlpdtrp0(xN,xi),szmzizndt0(sdtlpdtrp0(xN,xi))))))|~(isCountable0(X6)))|aSet0(esk42_2(X5,X6)))|epred4_1(X5)))&((((((~(aElement0(X8))|~(aElementOf0(X8,sdtlpdtrp0(xN,xi))))|X8=szmzizndt0(sdtlpdtrp0(xN,xi)))|aElementOf0(X8,sdtmndt0(sdtlpdtrp0(xN,xi),szmzizndt0(sdtlpdtrp0(xN,xi)))))|~(isCountable0(X6)))|aSet0(esk42_2(X5,X6)))|epred4_1(X5)))&(((aSet0(sdtmndt0(sdtlpdtrp0(xN,xi),szmzizndt0(sdtlpdtrp0(xN,xi))))|~(isCountable0(X6)))|aSet0(esk42_2(X5,X6)))|epred4_1(X5)))&((((((aElementOf0(esk41_2(X5,X6),X6)|~(aSet0(X6)))|~(isCountable0(X6)))|aSet0(esk42_2(X5,X6)))|epred4_1(X5))&((((~(aElementOf0(esk41_2(X5,X6),sdtmndt0(sdtlpdtrp0(xN,xi),szmzizndt0(sdtlpdtrp0(xN,xi)))))|~(aSet0(X6)))|~(isCountable0(X6)))|aSet0(esk42_2(X5,X6)))|epred4_1(X5)))&(((~(aSubsetOf0(X6,sdtmndt0(sdtlpdtrp0(xN,xi),szmzizndt0(sdtlpdtrp0(xN,xi)))))|~(isCountable0(X6)))|aSet0(esk42_2(X5,X6)))|epred4_1(X5))))&(((((~(aElementOf0(X7,sdtlpdtrp0(xN,xi)))|sdtlseqdt0(szmzizndt0(sdtlpdtrp0(xN,xi)),X7))|~(isCountable0(X6)))|aSet0(esk42_2(X5,X6)))|epred4_1(X5))&(((aElementOf0(szmzizndt0(sdtlpdtrp0(xN,xi)),sdtlpdtrp0(xN,xi))|~(isCountable0(X6)))|aSet0(esk42_2(X5,X6)))|epred4_1(X5)))))&((((((((((aElement0(X8)|~(aElementOf0(X8,sdtmndt0(sdtlpdtrp0(xN,xi),szmzizndt0(sdtlpdtrp0(xN,xi))))))|~(isCountable0(X6)))|aSubsetOf0(esk42_2(X5,X6),X6))|epred4_1(X5))&((((aElementOf0(X8,sdtlpdtrp0(xN,xi))|~(aElementOf0(X8,sdtmndt0(sdtlpdtrp0(xN,xi),szmzizndt0(sdtlpdtrp0(xN,xi))))))|~(isCountable0(X6)))|aSubsetOf0(esk42_2(X5,X6),X6))|epred4_1(X5)))&((((~(X8=szmzizndt0(sdtlpdtrp0(xN,xi)))|~(aElementOf0(X8,sdtmndt0(sdtlpdtrp0(xN,xi),szmzizndt0(sdtlpdtrp0(xN,xi))))))|~(isCountable0(X6)))|aSubsetOf0(esk42_2(X5,X6),X6))|epred4_1(X5)))&((((((~(aElement0(X8))|~(aElementOf0(X8,sdtlpdtrp0(xN,xi))))|X8=szmzizndt0(sdtlpdtrp0(xN,xi)))|aElementOf0(X8,sdtmndt0(sdtlpdtrp0(xN,xi),szmzizndt0(sdtlpdtrp0(xN,xi)))))|~(isCountable0(X6)))|aSubsetOf0(esk42_2(X5,X6),X6))|epred4_1(X5)))&(((aSet0(sdtmndt0(sdtlpdtrp0(xN,xi),szmzizndt0(sdtlpdtrp0(xN,xi))))|~(isCountable0(X6)))|aSubsetOf0(esk42_2(X5,X6),X6))|epred4_1(X5)))&((((((aElementOf0(esk41_2(X5,X6),X6)|~(aSet0(X6)))|~(isCountable0(X6)))|aSubsetOf0(esk42_2(X5,X6),X6))|epred4_1(X5))&((((~(aElementOf0(esk41_2(X5,X6),sdtmndt0(sdtlpdtrp0(xN,xi),szmzizndt0(sdtlpdtrp0(xN,xi)))))|~(aSet0(X6)))|~(isCountable0(X6)))|aSubsetOf0(esk42_2(X5,X6),X6))|epred4_1(X5)))&(((~(aSubsetOf0(X6,sdtmndt0(sdtlpdtrp0(xN,xi),szmzizndt0(sdtlpdtrp0(xN,xi)))))|~(isCountable0(X6)))|aSubsetOf0(esk42_2(X5,X6),X6))|epred4_1(X5))))&(((((~(aElementOf0(X7,sdtlpdtrp0(xN,xi)))|sdtlseqdt0(szmzizndt0(sdtlpdtrp0(xN,xi)),X7))|~(isCountable0(X6)))|aSubsetOf0(esk42_2(X5,X6),X6))|epred4_1(X5))&(((aElementOf0(szmzizndt0(sdtlpdtrp0(xN,xi)),sdtlpdtrp0(xN,xi))|~(isCountable0(X6)))|aSubsetOf0(esk42_2(X5,X6),X6))|epred4_1(X5)))))&((((((((((aElement0(X8)|~(aElementOf0(X8,sdtmndt0(sdtlpdtrp0(xN,xi),szmzizndt0(sdtlpdtrp0(xN,xi))))))|~(isCountable0(X6)))|sbrdtbr0(esk42_2(X5,X6))=xk)|epred4_1(X5))&((((aElementOf0(X8,sdtlpdtrp0(xN,xi))|~(aElementOf0(X8,sdtmndt0(sdtlpdtrp0(xN,xi),szmzizndt0(sdtlpdtrp0(xN,xi))))))|~(isCountable0(X6)))|sbrdtbr0(esk42_2(X5,X6))=xk)|epred4_1(X5)))&((((~(X8=szmzizndt0(sdtlpdtrp0(xN,xi)))|~(aElementOf0(X8,sdtmndt0(sdtlpdtrp0(xN,xi),szmzizndt0(sdtlpdtrp0(xN,xi))))))|~(isCountable0(X6)))|sbrdtbr0(esk42_2(X5,X6))=xk)|epred4_1(X5)))&((((((~(aElement0(X8))|~(aElementOf0(X8,sdtlpdtrp0(xN,xi))))|X8=szmzizndt0(sdtlpdtrp0(xN,xi)))|aElementOf0(X8,sdtmndt0(sdtlpdtrp0(xN,xi),szmzizndt0(sdtlpdtrp0(xN,xi)))))|~(isCountable0(X6)))|sbrdtbr0(esk42_2(X5,X6))=xk)|epred4_1(X5)))&(((aSet0(sdtmndt0(sdtlpdtrp0(xN,xi),szmzizndt0(sdtlpdtrp0(xN,xi))))|~(isCountable0(X6)))|sbrdtbr0(esk42_2(X5,X6))=xk)|epred4_1(X5)))&((((((aElementOf0(esk41_2(X5,X6),X6)|~(aSet0(X6)))|~(isCountable0(X6)))|sbrdtbr0(esk42_2(X5,X6))=xk)|epred4_1(X5))&((((~(aElementOf0(esk41_2(X5,X6),sdtmndt0(sdtlpdtrp0(xN,xi),szmzizndt0(sdtlpdtrp0(xN,xi)))))|~(aSet0(X6)))|~(isCountable0(X6)))|sbrdtbr0(esk42_2(X5,X6))=xk)|epred4_1(X5)))&(((~(aSubsetOf0(X6,sdtmndt0(sdtlpdtrp0(xN,xi),szmzizndt0(sdtlpdtrp0(xN,xi)))))|~(isCountable0(X6)))|sbrdtbr0(esk42_2(X5,X6))=xk)|epred4_1(X5))))&(((((~(aElementOf0(X7,sdtlpdtrp0(xN,xi)))|sdtlseqdt0(szmzizndt0(sdtlpdtrp0(xN,xi)),X7))|~(isCountable0(X6)))|sbrdtbr0(esk42_2(X5,X6))=xk)|epred4_1(X5))&(((aElementOf0(szmzizndt0(sdtlpdtrp0(xN,xi)),sdtlpdtrp0(xN,xi))|~(isCountable0(X6)))|sbrdtbr0(esk42_2(X5,X6))=xk)|epred4_1(X5)))))&((((((((((aElement0(X8)|~(aElementOf0(X8,sdtmndt0(sdtlpdtrp0(xN,xi),szmzizndt0(sdtlpdtrp0(xN,xi))))))|~(isCountable0(X6)))|aElementOf0(esk42_2(X5,X6),slbdtsldtrb0(X6,xk)))|epred4_1(X5))&((((aElementOf0(X8,sdtlpdtrp0(xN,xi))|~(aElementOf0(X8,sdtmndt0(sdtlpdtrp0(xN,xi),szmzizndt0(sdtlpdtrp0(xN,xi))))))|~(isCountable0(X6)))|aElementOf0(esk42_2(X5,X6),slbdtsldtrb0(X6,xk)))|epred4_1(X5)))&((((~(X8=szmzizndt0(sdtlpdtrp0(xN,xi)))|~(aElementOf0(X8,sdtmndt0(sdtlpdtrp0(xN,xi),szmzizndt0(sdtlpdtrp0(xN,xi))))))|~(isCountable0(X6)))|aElementOf0(esk42_2(X5,X6),slbdtsldtrb0(X6,xk)))|epred4_1(X5)))&((((((~(aElement0(X8))|~(aElementOf0(X8,sdtlpdtrp0(xN,xi))))|X8=szmzizndt0(sdtlpdtrp0(xN,xi)))|aElementOf0(X8,sdtmndt0(sdtlpdtrp0(xN,xi),szmzizndt0(sdtlpdtrp0(xN,xi)))))|~(isCountable0(X6)))|aElementOf0(esk42_2(X5,X6),slbdtsldtrb0(X6,xk)))|epred4_1(X5)))&(((aSet0(sdtmndt0(sdtlpdtrp0(xN,xi),szmzizndt0(sdtlpdtrp0(xN,xi))))|~(isCountable0(X6)))|aElementOf0(esk42_2(X5,X6),slbdtsldtrb0(X6,xk)))|epred4_1(X5)))&((((((aElementOf0(esk41_2(X5,X6),X6)|~(aSet0(X6)))|~(isCountable0(X6)))|aElementOf0(esk42_2(X5,X6),slbdtsldtrb0(X6,xk)))|epred4_1(X5))&((((~(aElementOf0(esk41_2(X5,X6),sdtmndt0(sdtlpdtrp0(xN,xi),szmzizndt0(sdtlpdtrp0(xN,xi)))))|~(aSet0(X6)))|~(isCountable0(X6)))|aElementOf0(esk42_2(X5,X6),slbdtsldtrb0(X6,xk)))|epred4_1(X5)))&(((~(aSubsetOf0(X6,sdtmndt0(sdtlpdtrp0(xN,xi),szmzizndt0(sdtlpdtrp0(xN,xi)))))|~(isCountable0(X6)))|aElementOf0(esk42_2(X5,X6),slbdtsldtrb0(X6,xk)))|epred4_1(X5))))&(((((~(aElementOf0(X7,sdtlpdtrp0(xN,xi)))|sdtlseqdt0(szmzizndt0(sdtlpdtrp0(xN,xi)),X7))|~(isCountable0(X6)))|aElementOf0(esk42_2(X5,X6),slbdtsldtrb0(X6,xk)))|epred4_1(X5))&(((aElementOf0(szmzizndt0(sdtlpdtrp0(xN,xi)),sdtlpdtrp0(xN,xi))|~(isCountable0(X6)))|aElementOf0(esk42_2(X5,X6),slbdtsldtrb0(X6,xk)))|epred4_1(X5)))))&((((((((((aElement0(X8)|~(aElementOf0(X8,sdtmndt0(sdtlpdtrp0(xN,xi),szmzizndt0(sdtlpdtrp0(xN,xi))))))|~(isCountable0(X6)))|~(sdtlpdtrp0(sdtlpdtrp0(xC,xi),esk42_2(X5,X6))=X5))|epred4_1(X5))&((((aElementOf0(X8,sdtlpdtrp0(xN,xi))|~(aElementOf0(X8,sdtmndt0(sdtlpdtrp0(xN,xi),szmzizndt0(sdtlpdtrp0(xN,xi))))))|~(isCountable0(X6)))|~(sdtlpdtrp0(sdtlpdtrp0(xC,xi),esk42_2(X5,X6))=X5))|epred4_1(X5)))&((((~(X8=szmzizndt0(sdtlpdtrp0(xN,xi)))|~(aElementOf0(X8,sdtmndt0(sdtlpdtrp0(xN,xi),szmzizndt0(sdtlpdtrp0(xN,xi))))))|~(isCountable0(X6)))|~(sdtlpdtrp0(sdtlpdtrp0(xC,xi),esk42_2(X5,X6))=X5))|epred4_1(X5)))&((((((~(aElement0(X8))|~(aElementOf0(X8,sdtlpdtrp0(xN,xi))))|X8=szmzizndt0(sdtlpdtrp0(xN,xi)))|aElementOf0(X8,sdtmndt0(sdtlpdtrp0(xN,xi),szmzizndt0(sdtlpdtrp0(xN,xi)))))|~(isCountable0(X6)))|~(sdtlpdtrp0(sdtlpdtrp0(xC,xi),esk42_2(X5,X6))=X5))|epred4_1(X5)))&(((aSet0(sdtmndt0(sdtlpdtrp0(xN,xi),szmzizndt0(sdtlpdtrp0(xN,xi))))|~(isCountable0(X6)))|~(sdtlpdtrp0(sdtlpdtrp0(xC,xi),esk42_2(X5,X6))=X5))|epred4_1(X5)))&((((((aElementOf0(esk41_2(X5,X6),X6)|~(aSet0(X6)))|~(isCountable0(X6)))|~(sdtlpdtrp0(sdtlpdtrp0(xC,xi),esk42_2(X5,X6))=X5))|epred4_1(X5))&((((~(aElementOf0(esk41_2(X5,X6),sdtmndt0(sdtlpdtrp0(xN,xi),szmzizndt0(sdtlpdtrp0(xN,xi)))))|~(aSet0(X6)))|~(isCountable0(X6)))|~(sdtlpdtrp0(sdtlpdtrp0(xC,xi),esk42_2(X5,X6))=X5))|epred4_1(X5)))&(((~(aSubsetOf0(X6,sdtmndt0(sdtlpdtrp0(xN,xi),szmzizndt0(sdtlpdtrp0(xN,xi)))))|~(isCountable0(X6)))|~(sdtlpdtrp0(sdtlpdtrp0(xC,xi),esk42_2(X5,X6))=X5))|epred4_1(X5))))&(((((~(aElementOf0(X7,sdtlpdtrp0(xN,xi)))|sdtlseqdt0(szmzizndt0(sdtlpdtrp0(xN,xi)),X7))|~(isCountable0(X6)))|~(sdtlpdtrp0(sdtlpdtrp0(xC,xi),esk42_2(X5,X6))=X5))|epred4_1(X5))&(((aElementOf0(szmzizndt0(sdtlpdtrp0(xN,xi)),sdtlpdtrp0(xN,xi))|~(isCountable0(X6)))|~(sdtlpdtrp0(sdtlpdtrp0(xC,xi),esk42_2(X5,X6))=X5))|epred4_1(X5))))),inference(distribute,[status(thm)],[5237])).
% cnf(5241,plain,(epred4_1(X1)|sdtlpdtrp0(sdtlpdtrp0(xC,xi),esk42_2(X1,X2))!=X1|~isCountable0(X2)|~aSubsetOf0(X2,sdtmndt0(sdtlpdtrp0(xN,xi),szmzizndt0(sdtlpdtrp0(xN,xi))))),inference(split_conjunct,[status(thm)],[5238])).
% cnf(5261,plain,(epred4_1(X1)|sbrdtbr0(esk42_2(X1,X2))=xk|~isCountable0(X2)|~aSubsetOf0(X2,sdtmndt0(sdtlpdtrp0(xN,xi),szmzizndt0(sdtlpdtrp0(xN,xi))))),inference(split_conjunct,[status(thm)],[5238])).
% cnf(5271,plain,(epred4_1(X1)|aSubsetOf0(esk42_2(X1,X2),X2)|~isCountable0(X2)|~aSubsetOf0(X2,sdtmndt0(sdtlpdtrp0(xN,xi),szmzizndt0(sdtlpdtrp0(xN,xi))))),inference(split_conjunct,[status(thm)],[5238])).
% cnf(5310,plain,(aSubsetOf0(X1,X2)|~aSubsetOf0(X3,X2)|~aSubsetOf0(X1,X3)|~aSet0(X3)|~aSet0(X2)),inference(csr,[status(thm)],[144,130])).
% cnf(5311,plain,(aSubsetOf0(X1,X2)|~aSubsetOf0(X3,X2)|~aSubsetOf0(X1,X3)|~aSet0(X2)),inference(csr,[status(thm)],[5310,130])).
% cnf(5353,plain,(epred4_1(X1)|aSubsetOf0(esk42_2(X1,X2),X2)|~isCountable0(X2)|~aSubsetOf0(X2,xY)),inference(rw,[status(thm)],[5271,4434,theory(equality)])).
% cnf(5359,plain,(sbrdtbr0(esk42_2(X1,X2))=xk|epred4_1(X1)|~isCountable0(X2)|~aSubsetOf0(X2,xY)),inference(rw,[status(thm)],[5261,4434,theory(equality)])).
% cnf(5451,plain,(epred4_1(X1)|sdtlpdtrp0(xd,esk42_2(X1,X2))!=X1|~isCountable0(X2)|~aSubsetOf0(X2,sdtmndt0(sdtlpdtrp0(xN,xi),szmzizndt0(sdtlpdtrp0(xN,xi))))),inference(rw,[status(thm)],[5241,4433,theory(equality)])).
% cnf(5452,plain,(epred4_1(X1)|sdtlpdtrp0(xd,esk42_2(X1,X2))!=X1|~isCountable0(X2)|~aSubsetOf0(X2,xY)),inference(rw,[status(thm)],[5451,4434,theory(equality)])).
% cnf(9103,plain,(aSubsetOf0(X1,xY)|~aSubsetOf0(X1,xX)|~aSet0(xY)),inference(spm,[status(thm)],[5311,4468,theory(equality)])).
% cnf(9110,plain,(aSubsetOf0(X1,xY)|~aSubsetOf0(X1,xX)|$false),inference(rw,[status(thm)],[9103,4435,theory(equality)])).
% cnf(9111,plain,(aSubsetOf0(X1,xY)|~aSubsetOf0(X1,xX)),inference(cn,[status(thm)],[9110,theory(equality)])).
% cnf(9191,plain,(sdtlpdtrp0(xd,esk42_2(X1,X2))=xu|epred4_1(X1)|~aSubsetOf0(esk42_2(X1,X2),xX)|~aSet0(esk42_2(X1,X2))|~aSubsetOf0(X2,xY)|~isCountable0(X2)),inference(spm,[status(thm)],[4473,5359,theory(equality)])).
% cnf(85692,plain,(aSet0(X1)|~aSet0(xY)|~aSubsetOf0(X1,xX)),inference(spm,[status(thm)],[130,9111,theory(equality)])).
% cnf(85940,plain,(aSet0(X1)|$false|~aSubsetOf0(X1,xX)),inference(rw,[status(thm)],[85692,4435,theory(equality)])).
% cnf(85941,plain,(aSet0(X1)|~aSubsetOf0(X1,xX)),inference(cn,[status(thm)],[85940,theory(equality)])).
% cnf(130860,plain,(sdtlpdtrp0(xd,esk42_2(X1,X2))=xu|epred4_1(X1)|~aSubsetOf0(esk42_2(X1,X2),xX)|~aSubsetOf0(X2,xY)|~isCountable0(X2)),inference(csr,[status(thm)],[9191,85941])).
% cnf(130862,plain,(sdtlpdtrp0(xd,esk42_2(X1,xX))=xu|epred4_1(X1)|~aSubsetOf0(xX,xY)|~isCountable0(xX)),inference(spm,[status(thm)],[130860,5353,theory(equality)])).
% cnf(130865,plain,(sdtlpdtrp0(xd,esk42_2(X1,xX))=xu|epred4_1(X1)|$false|~isCountable0(xX)),inference(rw,[status(thm)],[130862,4468,theory(equality)])).
% cnf(130866,plain,(sdtlpdtrp0(xd,esk42_2(X1,xX))=xu|epred4_1(X1)|$false|$false),inference(rw,[status(thm)],[130865,4467,theory(equality)])).
% cnf(130867,plain,(sdtlpdtrp0(xd,esk42_2(X1,xX))=xu|epred4_1(X1)),inference(cn,[status(thm)],[130866,theory(equality)])).
% cnf(130878,plain,(epred4_1(X1)|xu!=X1|~aSubsetOf0(xX,xY)|~isCountable0(xX)),inference(spm,[status(thm)],[5452,130867,theory(equality)])).
% cnf(130886,plain,(epred4_1(X1)|xu!=X1|$false|~isCountable0(xX)),inference(rw,[status(thm)],[130878,4468,theory(equality)])).
% cnf(130887,plain,(epred4_1(X1)|xu!=X1|$false|$false),inference(rw,[status(thm)],[130886,4467,theory(equality)])).
% cnf(130888,plain,(epred4_1(X1)|xu!=X1),inference(cn,[status(thm)],[130887,theory(equality)])).
% cnf(130889,negated_conjecture,(~aElementOf0(X1,xT)|xu!=X1),inference(spm,[status(thm)],[4604,130888,theory(equality)])).
% cnf(130944,negated_conjecture,($false),inference(spm,[status(thm)],[130889,4470,theory(equality)])).
% cnf(130981,negated_conjecture,($false),130944,['proof']).
% # SZS output end CNFRefutation
% # Processed clauses : 8938
% # ...of these trivial : 52
% # ...subsumed : 1897
% # ...remaining for further processing: 6989
% # Other redundant clauses eliminated : 14
% # Clauses deleted for lack of memory : 0
% # Backward-subsumed : 47
% # Backward-rewritten : 31
% # Generated clauses : 88088
% # ...of the previous two non-trivial : 79211
% # Contextual simplify-reflections : 3874
% # Paramodulations : 88013
% # Factorizations : 0
% # Equation resolutions : 70
% # Current number of processed clauses: 3896
% # Positive orientable unit clauses: 106
% # Positive unorientable unit clauses: 0
% # Negative unit clauses : 65
% # Non-unit-clauses : 3725
% # Current number of unprocessed clauses: 75670
% # ...number of literals in the above : 1056584
% # Clause-clause subsumption calls (NU) : 1929385
% # Rec. Clause-clause subsumption calls : 78344
% # Unit Clause-clause subsumption calls : 92817
% # Rewrite failures with RHS unbound : 0
% # Indexed BW rewrite attempts : 25
% # Indexed BW rewrite successes : 13
% # Backwards rewriting index: 987 leaves, 1.59+/-1.898 terms/leaf
% # Paramod-from index: 434 leaves, 1.13+/-0.424 terms/leaf
% # Paramod-into index: 827 leaves, 1.36+/-1.077 terms/leaf
% # -------------------------------------------------
% # User time : 13.448 s
% # System time : 0.266 s
% # Total time : 13.714 s
% # Maximum resident set size: 0 pages
% PrfWatch: 17.56 CPU 18.44 WC
% FINAL PrfWatch: 17.56 CPU 18.44 WC
% SZS output end Solution for /tmp/SystemOnTPTP15217/NUM592+3.tptp
%
%------------------------------------------------------------------------------