TSTP Solution File: NUM586+3 by SRASS---0.1
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- Process Solution
%------------------------------------------------------------------------------
% File : SRASS---0.1
% Problem : NUM586+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 : art04.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 20:22:32 EST 2010
% Result : Theorem 13.61s
% Output : Solution 13.61s
% 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/SystemOnTPTP6112/NUM586+3.tptp
% Adding relevance values
% Extracting the conjecture
% Sorting axioms by relevance
% Looking for THM ...
% found
% SZS status THM for /tmp/SystemOnTPTP6112/NUM586+3.tptp
% SZS output start Solution for /tmp/SystemOnTPTP6112/NUM586+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 6208
% TreeLimitedRun: ----------------------------------------------------------
% PrfWatch: 0.00 CPU 0.02 WC
% PrfWatch: 1.94 CPU 2.02 WC
% PrfWatch: 3.93 CPU 4.03 WC
% PrfWatch: 5.92 CPU 6.03 WC
% PrfWatch: 7.91 CPU 8.04 WC
% # Preprocessing time : 0.565 s
% # Problem is unsatisfiable (or provable), constructing proof object
% # SZS status Theorem
% PrfWatch: 9.90 CPU 10.04 WC
% PrfWatch: 11.89 CPU 12.05 WC
% # SZS output start CNFRefutation.
% fof(59, axiom,((aFunction0(xC)&szDzozmdt0(xC)=szNzAzT0)&![X1]:(aElementOf0(X1,szNzAzT0)=>(((((((aFunction0(sdtlpdtrp0(xC,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))))))&![X2]:((aElementOf0(X2,szDzozmdt0(sdtlpdtrp0(xC,X1)))=>(((aSet0(X2)&![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))&((((aSet0(X2)&![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,szDzozmdt0(sdtlpdtrp0(xC,X1))))))&szDzozmdt0(sdtlpdtrp0(xC,X1))=slbdtsldtrb0(sdtmndt0(sdtlpdtrp0(xN,X1),szmzizndt0(sdtlpdtrp0(xN,X1))),xk))&![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)))&![X3]:(aElementOf0(X3,sdtpldt0(X2,szmzizndt0(sdtlpdtrp0(xN,X1))))<=>(aElement0(X3)&(aElementOf0(X3,X2)|X3=szmzizndt0(sdtlpdtrp0(xN,X1))))))&sdtlpdtrp0(sdtlpdtrp0(xC,X1),X2)=sdtlpdtrp0(xc,sdtpldt0(X2,szmzizndt0(sdtlpdtrp0(xN,X1))))))))),file('/tmp/SRASS.s.p', m__4151)).
% fof(60, axiom,aElementOf0(xi,szNzAzT0),file('/tmp/SRASS.s.p', m__4200)).
% fof(61, axiom,(?[X1]:(aElementOf0(X1,szDzozmdt0(sdtlpdtrp0(xC,xi)))&sdtlpdtrp0(sdtlpdtrp0(xC,xi),X1)=xx)&aElementOf0(xx,sdtlcdtrc0(sdtlpdtrp0(xC,xi),szDzozmdt0(sdtlpdtrp0(xC,xi))))),file('/tmp/SRASS.s.p', m__4200_02)).
% fof(89, conjecture,?[X1]:(((aElementOf0(szmzizndt0(sdtlpdtrp0(xN,xi)),sdtlpdtrp0(xN,xi))&![X2]:(aElementOf0(X2,sdtlpdtrp0(xN,xi))=>sdtlseqdt0(szmzizndt0(sdtlpdtrp0(xN,xi)),X2)))=>((aSet0(sdtmndt0(sdtlpdtrp0(xN,xi),szmzizndt0(sdtlpdtrp0(xN,xi))))&![X2]:(aElementOf0(X2,sdtmndt0(sdtlpdtrp0(xN,xi),szmzizndt0(sdtlpdtrp0(xN,xi))))<=>((aElement0(X2)&aElementOf0(X2,sdtlpdtrp0(xN,xi)))&~(X2=szmzizndt0(sdtlpdtrp0(xN,xi))))))=>((((aSet0(X1)&![X2]:(aElementOf0(X2,X1)=>aElementOf0(X2,sdtmndt0(sdtlpdtrp0(xN,xi),szmzizndt0(sdtlpdtrp0(xN,xi))))))|aSubsetOf0(X1,sdtmndt0(sdtlpdtrp0(xN,xi),szmzizndt0(sdtlpdtrp0(xN,xi)))))&sbrdtbr0(X1)=xk)|aElementOf0(X1,slbdtsldtrb0(sdtmndt0(sdtlpdtrp0(xN,xi),szmzizndt0(sdtlpdtrp0(xN,xi))),xk)))))&sdtlpdtrp0(sdtlpdtrp0(xC,xi),X1)=xx),file('/tmp/SRASS.s.p', m__)).
% fof(90, negated_conjecture,~(?[X1]:(((aElementOf0(szmzizndt0(sdtlpdtrp0(xN,xi)),sdtlpdtrp0(xN,xi))&![X2]:(aElementOf0(X2,sdtlpdtrp0(xN,xi))=>sdtlseqdt0(szmzizndt0(sdtlpdtrp0(xN,xi)),X2)))=>((aSet0(sdtmndt0(sdtlpdtrp0(xN,xi),szmzizndt0(sdtlpdtrp0(xN,xi))))&![X2]:(aElementOf0(X2,sdtmndt0(sdtlpdtrp0(xN,xi),szmzizndt0(sdtlpdtrp0(xN,xi))))<=>((aElement0(X2)&aElementOf0(X2,sdtlpdtrp0(xN,xi)))&~(X2=szmzizndt0(sdtlpdtrp0(xN,xi))))))=>((((aSet0(X1)&![X2]:(aElementOf0(X2,X1)=>aElementOf0(X2,sdtmndt0(sdtlpdtrp0(xN,xi),szmzizndt0(sdtlpdtrp0(xN,xi))))))|aSubsetOf0(X1,sdtmndt0(sdtlpdtrp0(xN,xi),szmzizndt0(sdtlpdtrp0(xN,xi)))))&sbrdtbr0(X1)=xk)|aElementOf0(X1,slbdtsldtrb0(sdtmndt0(sdtlpdtrp0(xN,xi),szmzizndt0(sdtlpdtrp0(xN,xi))),xk)))))&sdtlpdtrp0(sdtlpdtrp0(xC,xi),X1)=xx)),inference(assume_negation,[status(cth)],[89])).
% fof(104, plain,![X1]:(epred2_1(X1)=>(((((((aFunction0(sdtlpdtrp0(xC,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))))))&![X2]:((aElementOf0(X2,szDzozmdt0(sdtlpdtrp0(xC,X1)))=>(((aSet0(X2)&![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))&((((aSet0(X2)&![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,szDzozmdt0(sdtlpdtrp0(xC,X1))))))&szDzozmdt0(sdtlpdtrp0(xC,X1))=slbdtsldtrb0(sdtmndt0(sdtlpdtrp0(xN,X1),szmzizndt0(sdtlpdtrp0(xN,X1))),xk))&![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)))&![X3]:(aElementOf0(X3,sdtpldt0(X2,szmzizndt0(sdtlpdtrp0(xN,X1))))<=>(aElement0(X3)&(aElementOf0(X3,X2)|X3=szmzizndt0(sdtlpdtrp0(xN,X1))))))&sdtlpdtrp0(sdtlpdtrp0(xC,X1),X2)=sdtlpdtrp0(xc,sdtpldt0(X2,szmzizndt0(sdtlpdtrp0(xN,X1)))))))),introduced(definition)).
% fof(106, plain,((aFunction0(xC)&szDzozmdt0(xC)=szNzAzT0)&![X1]:(aElementOf0(X1,szNzAzT0)=>epred2_1(X1))),inference(apply_def,[status(esa)],[59,104,theory(equality)])).
% fof(4398, plain,((aFunction0(xC)&szDzozmdt0(xC)=szNzAzT0)&![X1]:(~(aElementOf0(X1,szNzAzT0))|epred2_1(X1))),inference(fof_nnf,[status(thm)],[106])).
% fof(4399, plain,((aFunction0(xC)&szDzozmdt0(xC)=szNzAzT0)&![X2]:(~(aElementOf0(X2,szNzAzT0))|epred2_1(X2))),inference(variable_rename,[status(thm)],[4398])).
% fof(4400, plain,![X2]:((~(aElementOf0(X2,szNzAzT0))|epred2_1(X2))&(aFunction0(xC)&szDzozmdt0(xC)=szNzAzT0)),inference(shift_quantors,[status(thm)],[4399])).
% cnf(4403,plain,(epred2_1(X1)|~aElementOf0(X1,szNzAzT0)),inference(split_conjunct,[status(thm)],[4400])).
% cnf(4404,plain,(aElementOf0(xi,szNzAzT0)),inference(split_conjunct,[status(thm)],[60])).
% fof(4405, plain,(?[X2]:(aElementOf0(X2,szDzozmdt0(sdtlpdtrp0(xC,xi)))&sdtlpdtrp0(sdtlpdtrp0(xC,xi),X2)=xx)&aElementOf0(xx,sdtlcdtrc0(sdtlpdtrp0(xC,xi),szDzozmdt0(sdtlpdtrp0(xC,xi))))),inference(variable_rename,[status(thm)],[61])).
% fof(4406, plain,((aElementOf0(esk25_0,szDzozmdt0(sdtlpdtrp0(xC,xi)))&sdtlpdtrp0(sdtlpdtrp0(xC,xi),esk25_0)=xx)&aElementOf0(xx,sdtlcdtrc0(sdtlpdtrp0(xC,xi),szDzozmdt0(sdtlpdtrp0(xC,xi))))),inference(skolemize,[status(esa)],[4405])).
% cnf(4408,plain,(sdtlpdtrp0(sdtlpdtrp0(xC,xi),esk25_0)=xx),inference(split_conjunct,[status(thm)],[4406])).
% cnf(4409,plain,(aElementOf0(esk25_0,szDzozmdt0(sdtlpdtrp0(xC,xi)))),inference(split_conjunct,[status(thm)],[4406])).
% fof(4536, negated_conjecture,![X1]:(((aElementOf0(szmzizndt0(sdtlpdtrp0(xN,xi)),sdtlpdtrp0(xN,xi))&![X2]:(~(aElementOf0(X2,sdtlpdtrp0(xN,xi)))|sdtlseqdt0(szmzizndt0(sdtlpdtrp0(xN,xi)),X2)))&((aSet0(sdtmndt0(sdtlpdtrp0(xN,xi),szmzizndt0(sdtlpdtrp0(xN,xi))))&![X2]:((~(aElementOf0(X2,sdtmndt0(sdtlpdtrp0(xN,xi),szmzizndt0(sdtlpdtrp0(xN,xi)))))|((aElement0(X2)&aElementOf0(X2,sdtlpdtrp0(xN,xi)))&~(X2=szmzizndt0(sdtlpdtrp0(xN,xi)))))&(((~(aElement0(X2))|~(aElementOf0(X2,sdtlpdtrp0(xN,xi))))|X2=szmzizndt0(sdtlpdtrp0(xN,xi)))|aElementOf0(X2,sdtmndt0(sdtlpdtrp0(xN,xi),szmzizndt0(sdtlpdtrp0(xN,xi)))))))&((((~(aSet0(X1))|?[X2]:(aElementOf0(X2,X1)&~(aElementOf0(X2,sdtmndt0(sdtlpdtrp0(xN,xi),szmzizndt0(sdtlpdtrp0(xN,xi)))))))&~(aSubsetOf0(X1,sdtmndt0(sdtlpdtrp0(xN,xi),szmzizndt0(sdtlpdtrp0(xN,xi))))))|~(sbrdtbr0(X1)=xk))&~(aElementOf0(X1,slbdtsldtrb0(sdtmndt0(sdtlpdtrp0(xN,xi),szmzizndt0(sdtlpdtrp0(xN,xi))),xk))))))|~(sdtlpdtrp0(sdtlpdtrp0(xC,xi),X1)=xx)),inference(fof_nnf,[status(thm)],[90])).
% fof(4537, negated_conjecture,![X3]:(((aElementOf0(szmzizndt0(sdtlpdtrp0(xN,xi)),sdtlpdtrp0(xN,xi))&![X4]:(~(aElementOf0(X4,sdtlpdtrp0(xN,xi)))|sdtlseqdt0(szmzizndt0(sdtlpdtrp0(xN,xi)),X4)))&((aSet0(sdtmndt0(sdtlpdtrp0(xN,xi),szmzizndt0(sdtlpdtrp0(xN,xi))))&![X5]:((~(aElementOf0(X5,sdtmndt0(sdtlpdtrp0(xN,xi),szmzizndt0(sdtlpdtrp0(xN,xi)))))|((aElement0(X5)&aElementOf0(X5,sdtlpdtrp0(xN,xi)))&~(X5=szmzizndt0(sdtlpdtrp0(xN,xi)))))&(((~(aElement0(X5))|~(aElementOf0(X5,sdtlpdtrp0(xN,xi))))|X5=szmzizndt0(sdtlpdtrp0(xN,xi)))|aElementOf0(X5,sdtmndt0(sdtlpdtrp0(xN,xi),szmzizndt0(sdtlpdtrp0(xN,xi)))))))&((((~(aSet0(X3))|?[X6]:(aElementOf0(X6,X3)&~(aElementOf0(X6,sdtmndt0(sdtlpdtrp0(xN,xi),szmzizndt0(sdtlpdtrp0(xN,xi)))))))&~(aSubsetOf0(X3,sdtmndt0(sdtlpdtrp0(xN,xi),szmzizndt0(sdtlpdtrp0(xN,xi))))))|~(sbrdtbr0(X3)=xk))&~(aElementOf0(X3,slbdtsldtrb0(sdtmndt0(sdtlpdtrp0(xN,xi),szmzizndt0(sdtlpdtrp0(xN,xi))),xk))))))|~(sdtlpdtrp0(sdtlpdtrp0(xC,xi),X3)=xx)),inference(variable_rename,[status(thm)],[4536])).
% fof(4538, negated_conjecture,![X3]:(((aElementOf0(szmzizndt0(sdtlpdtrp0(xN,xi)),sdtlpdtrp0(xN,xi))&![X4]:(~(aElementOf0(X4,sdtlpdtrp0(xN,xi)))|sdtlseqdt0(szmzizndt0(sdtlpdtrp0(xN,xi)),X4)))&((aSet0(sdtmndt0(sdtlpdtrp0(xN,xi),szmzizndt0(sdtlpdtrp0(xN,xi))))&![X5]:((~(aElementOf0(X5,sdtmndt0(sdtlpdtrp0(xN,xi),szmzizndt0(sdtlpdtrp0(xN,xi)))))|((aElement0(X5)&aElementOf0(X5,sdtlpdtrp0(xN,xi)))&~(X5=szmzizndt0(sdtlpdtrp0(xN,xi)))))&(((~(aElement0(X5))|~(aElementOf0(X5,sdtlpdtrp0(xN,xi))))|X5=szmzizndt0(sdtlpdtrp0(xN,xi)))|aElementOf0(X5,sdtmndt0(sdtlpdtrp0(xN,xi),szmzizndt0(sdtlpdtrp0(xN,xi)))))))&((((~(aSet0(X3))|(aElementOf0(esk33_1(X3),X3)&~(aElementOf0(esk33_1(X3),sdtmndt0(sdtlpdtrp0(xN,xi),szmzizndt0(sdtlpdtrp0(xN,xi)))))))&~(aSubsetOf0(X3,sdtmndt0(sdtlpdtrp0(xN,xi),szmzizndt0(sdtlpdtrp0(xN,xi))))))|~(sbrdtbr0(X3)=xk))&~(aElementOf0(X3,slbdtsldtrb0(sdtmndt0(sdtlpdtrp0(xN,xi),szmzizndt0(sdtlpdtrp0(xN,xi))),xk))))))|~(sdtlpdtrp0(sdtlpdtrp0(xC,xi),X3)=xx)),inference(skolemize,[status(esa)],[4537])).
% fof(4539, negated_conjecture,![X3]:![X4]:![X5]:((((((~(aElementOf0(X5,sdtmndt0(sdtlpdtrp0(xN,xi),szmzizndt0(sdtlpdtrp0(xN,xi)))))|((aElement0(X5)&aElementOf0(X5,sdtlpdtrp0(xN,xi)))&~(X5=szmzizndt0(sdtlpdtrp0(xN,xi)))))&(((~(aElement0(X5))|~(aElementOf0(X5,sdtlpdtrp0(xN,xi))))|X5=szmzizndt0(sdtlpdtrp0(xN,xi)))|aElementOf0(X5,sdtmndt0(sdtlpdtrp0(xN,xi),szmzizndt0(sdtlpdtrp0(xN,xi))))))&aSet0(sdtmndt0(sdtlpdtrp0(xN,xi),szmzizndt0(sdtlpdtrp0(xN,xi)))))&((((~(aSet0(X3))|(aElementOf0(esk33_1(X3),X3)&~(aElementOf0(esk33_1(X3),sdtmndt0(sdtlpdtrp0(xN,xi),szmzizndt0(sdtlpdtrp0(xN,xi)))))))&~(aSubsetOf0(X3,sdtmndt0(sdtlpdtrp0(xN,xi),szmzizndt0(sdtlpdtrp0(xN,xi))))))|~(sbrdtbr0(X3)=xk))&~(aElementOf0(X3,slbdtsldtrb0(sdtmndt0(sdtlpdtrp0(xN,xi),szmzizndt0(sdtlpdtrp0(xN,xi))),xk)))))&((~(aElementOf0(X4,sdtlpdtrp0(xN,xi)))|sdtlseqdt0(szmzizndt0(sdtlpdtrp0(xN,xi)),X4))&aElementOf0(szmzizndt0(sdtlpdtrp0(xN,xi)),sdtlpdtrp0(xN,xi))))|~(sdtlpdtrp0(sdtlpdtrp0(xC,xi),X3)=xx)),inference(shift_quantors,[status(thm)],[4538])).
% fof(4540, negated_conjecture,![X3]:![X4]:![X5]:((((((((aElement0(X5)|~(aElementOf0(X5,sdtmndt0(sdtlpdtrp0(xN,xi),szmzizndt0(sdtlpdtrp0(xN,xi))))))|~(sdtlpdtrp0(sdtlpdtrp0(xC,xi),X3)=xx))&((aElementOf0(X5,sdtlpdtrp0(xN,xi))|~(aElementOf0(X5,sdtmndt0(sdtlpdtrp0(xN,xi),szmzizndt0(sdtlpdtrp0(xN,xi))))))|~(sdtlpdtrp0(sdtlpdtrp0(xC,xi),X3)=xx)))&((~(X5=szmzizndt0(sdtlpdtrp0(xN,xi)))|~(aElementOf0(X5,sdtmndt0(sdtlpdtrp0(xN,xi),szmzizndt0(sdtlpdtrp0(xN,xi))))))|~(sdtlpdtrp0(sdtlpdtrp0(xC,xi),X3)=xx)))&((((~(aElement0(X5))|~(aElementOf0(X5,sdtlpdtrp0(xN,xi))))|X5=szmzizndt0(sdtlpdtrp0(xN,xi)))|aElementOf0(X5,sdtmndt0(sdtlpdtrp0(xN,xi),szmzizndt0(sdtlpdtrp0(xN,xi)))))|~(sdtlpdtrp0(sdtlpdtrp0(xC,xi),X3)=xx)))&(aSet0(sdtmndt0(sdtlpdtrp0(xN,xi),szmzizndt0(sdtlpdtrp0(xN,xi))))|~(sdtlpdtrp0(sdtlpdtrp0(xC,xi),X3)=xx)))&((((((aElementOf0(esk33_1(X3),X3)|~(aSet0(X3)))|~(sbrdtbr0(X3)=xk))|~(sdtlpdtrp0(sdtlpdtrp0(xC,xi),X3)=xx))&(((~(aElementOf0(esk33_1(X3),sdtmndt0(sdtlpdtrp0(xN,xi),szmzizndt0(sdtlpdtrp0(xN,xi)))))|~(aSet0(X3)))|~(sbrdtbr0(X3)=xk))|~(sdtlpdtrp0(sdtlpdtrp0(xC,xi),X3)=xx)))&((~(aSubsetOf0(X3,sdtmndt0(sdtlpdtrp0(xN,xi),szmzizndt0(sdtlpdtrp0(xN,xi)))))|~(sbrdtbr0(X3)=xk))|~(sdtlpdtrp0(sdtlpdtrp0(xC,xi),X3)=xx)))&(~(aElementOf0(X3,slbdtsldtrb0(sdtmndt0(sdtlpdtrp0(xN,xi),szmzizndt0(sdtlpdtrp0(xN,xi))),xk)))|~(sdtlpdtrp0(sdtlpdtrp0(xC,xi),X3)=xx))))&(((~(aElementOf0(X4,sdtlpdtrp0(xN,xi)))|sdtlseqdt0(szmzizndt0(sdtlpdtrp0(xN,xi)),X4))|~(sdtlpdtrp0(sdtlpdtrp0(xC,xi),X3)=xx))&(aElementOf0(szmzizndt0(sdtlpdtrp0(xN,xi)),sdtlpdtrp0(xN,xi))|~(sdtlpdtrp0(sdtlpdtrp0(xC,xi),X3)=xx)))),inference(distribute,[status(thm)],[4539])).
% cnf(4543,negated_conjecture,(sdtlpdtrp0(sdtlpdtrp0(xC,xi),X1)!=xx|~aElementOf0(X1,slbdtsldtrb0(sdtmndt0(sdtlpdtrp0(xN,xi),szmzizndt0(sdtlpdtrp0(xN,xi))),xk))),inference(split_conjunct,[status(thm)],[4540])).
% fof(4678, plain,![X1]:(~(epred2_1(X1))|(((((((aFunction0(sdtlpdtrp0(xC,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)))))))&![X2]:((~(aElementOf0(X2,szDzozmdt0(sdtlpdtrp0(xC,X1))))|(((aSet0(X2)&![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))&((((~(aSet0(X2))|?[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,szDzozmdt0(sdtlpdtrp0(xC,X1))))))&szDzozmdt0(sdtlpdtrp0(xC,X1))=slbdtsldtrb0(sdtmndt0(sdtlpdtrp0(xN,X1),szmzizndt0(sdtlpdtrp0(xN,X1))),xk))&![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)))&![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)))))))&sdtlpdtrp0(sdtlpdtrp0(xC,X1),X2)=sdtlpdtrp0(xc,sdtpldt0(X2,szmzizndt0(sdtlpdtrp0(xN,X1)))))))),inference(fof_nnf,[status(thm)],[104])).
% fof(4679, plain,![X4]:(~(epred2_1(X4))|(((((((aFunction0(sdtlpdtrp0(xC,X4))&aElementOf0(szmzizndt0(sdtlpdtrp0(xN,X4)),sdtlpdtrp0(xN,X4)))&![X5]:(~(aElementOf0(X5,sdtlpdtrp0(xN,X4)))|sdtlseqdt0(szmzizndt0(sdtlpdtrp0(xN,X4)),X5)))&aSet0(sdtmndt0(sdtlpdtrp0(xN,X4),szmzizndt0(sdtlpdtrp0(xN,X4)))))&![X6]:((~(aElementOf0(X6,sdtmndt0(sdtlpdtrp0(xN,X4),szmzizndt0(sdtlpdtrp0(xN,X4)))))|((aElement0(X6)&aElementOf0(X6,sdtlpdtrp0(xN,X4)))&~(X6=szmzizndt0(sdtlpdtrp0(xN,X4)))))&(((~(aElement0(X6))|~(aElementOf0(X6,sdtlpdtrp0(xN,X4))))|X6=szmzizndt0(sdtlpdtrp0(xN,X4)))|aElementOf0(X6,sdtmndt0(sdtlpdtrp0(xN,X4),szmzizndt0(sdtlpdtrp0(xN,X4)))))))&![X7]:((~(aElementOf0(X7,szDzozmdt0(sdtlpdtrp0(xC,X4))))|(((aSet0(X7)&![X8]:(~(aElementOf0(X8,X7))|aElementOf0(X8,sdtmndt0(sdtlpdtrp0(xN,X4),szmzizndt0(sdtlpdtrp0(xN,X4))))))&aSubsetOf0(X7,sdtmndt0(sdtlpdtrp0(xN,X4),szmzizndt0(sdtlpdtrp0(xN,X4)))))&sbrdtbr0(X7)=xk))&((((~(aSet0(X7))|?[X9]:(aElementOf0(X9,X7)&~(aElementOf0(X9,sdtmndt0(sdtlpdtrp0(xN,X4),szmzizndt0(sdtlpdtrp0(xN,X4)))))))&~(aSubsetOf0(X7,sdtmndt0(sdtlpdtrp0(xN,X4),szmzizndt0(sdtlpdtrp0(xN,X4))))))|~(sbrdtbr0(X7)=xk))|aElementOf0(X7,szDzozmdt0(sdtlpdtrp0(xC,X4))))))&szDzozmdt0(sdtlpdtrp0(xC,X4))=slbdtsldtrb0(sdtmndt0(sdtlpdtrp0(xN,X4),szmzizndt0(sdtlpdtrp0(xN,X4))),xk))&![X10]:((~(aSet0(X10))|((aElementOf0(szmzizndt0(sdtlpdtrp0(xN,X4)),sdtlpdtrp0(xN,X4))&![X11]:(~(aElementOf0(X11,sdtlpdtrp0(xN,X4)))|sdtlseqdt0(szmzizndt0(sdtlpdtrp0(xN,X4)),X11)))&((aSet0(sdtmndt0(sdtlpdtrp0(xN,X4),szmzizndt0(sdtlpdtrp0(xN,X4))))&![X12]:((~(aElementOf0(X12,sdtmndt0(sdtlpdtrp0(xN,X4),szmzizndt0(sdtlpdtrp0(xN,X4)))))|((aElement0(X12)&aElementOf0(X12,sdtlpdtrp0(xN,X4)))&~(X12=szmzizndt0(sdtlpdtrp0(xN,X4)))))&(((~(aElement0(X12))|~(aElementOf0(X12,sdtlpdtrp0(xN,X4))))|X12=szmzizndt0(sdtlpdtrp0(xN,X4)))|aElementOf0(X12,sdtmndt0(sdtlpdtrp0(xN,X4),szmzizndt0(sdtlpdtrp0(xN,X4)))))))&(((?[X13]:(aElementOf0(X13,X10)&~(aElementOf0(X13,sdtmndt0(sdtlpdtrp0(xN,X4),szmzizndt0(sdtlpdtrp0(xN,X4))))))&~(aSubsetOf0(X10,sdtmndt0(sdtlpdtrp0(xN,X4),szmzizndt0(sdtlpdtrp0(xN,X4))))))|~(sbrdtbr0(X10)=xk))&~(aElementOf0(X10,slbdtsldtrb0(sdtmndt0(sdtlpdtrp0(xN,X4),szmzizndt0(sdtlpdtrp0(xN,X4))),xk)))))))|(((aElementOf0(szmzizndt0(sdtlpdtrp0(xN,X4)),sdtlpdtrp0(xN,X4))&![X14]:(~(aElementOf0(X14,sdtlpdtrp0(xN,X4)))|sdtlseqdt0(szmzizndt0(sdtlpdtrp0(xN,X4)),X14)))&![X15]:((~(aElementOf0(X15,sdtpldt0(X10,szmzizndt0(sdtlpdtrp0(xN,X4)))))|(aElement0(X15)&(aElementOf0(X15,X10)|X15=szmzizndt0(sdtlpdtrp0(xN,X4)))))&((~(aElement0(X15))|(~(aElementOf0(X15,X10))&~(X15=szmzizndt0(sdtlpdtrp0(xN,X4)))))|aElementOf0(X15,sdtpldt0(X10,szmzizndt0(sdtlpdtrp0(xN,X4)))))))&sdtlpdtrp0(sdtlpdtrp0(xC,X4),X10)=sdtlpdtrp0(xc,sdtpldt0(X10,szmzizndt0(sdtlpdtrp0(xN,X4)))))))),inference(variable_rename,[status(thm)],[4678])).
% fof(4680, plain,![X4]:(~(epred2_1(X4))|(((((((aFunction0(sdtlpdtrp0(xC,X4))&aElementOf0(szmzizndt0(sdtlpdtrp0(xN,X4)),sdtlpdtrp0(xN,X4)))&![X5]:(~(aElementOf0(X5,sdtlpdtrp0(xN,X4)))|sdtlseqdt0(szmzizndt0(sdtlpdtrp0(xN,X4)),X5)))&aSet0(sdtmndt0(sdtlpdtrp0(xN,X4),szmzizndt0(sdtlpdtrp0(xN,X4)))))&![X6]:((~(aElementOf0(X6,sdtmndt0(sdtlpdtrp0(xN,X4),szmzizndt0(sdtlpdtrp0(xN,X4)))))|((aElement0(X6)&aElementOf0(X6,sdtlpdtrp0(xN,X4)))&~(X6=szmzizndt0(sdtlpdtrp0(xN,X4)))))&(((~(aElement0(X6))|~(aElementOf0(X6,sdtlpdtrp0(xN,X4))))|X6=szmzizndt0(sdtlpdtrp0(xN,X4)))|aElementOf0(X6,sdtmndt0(sdtlpdtrp0(xN,X4),szmzizndt0(sdtlpdtrp0(xN,X4)))))))&![X7]:((~(aElementOf0(X7,szDzozmdt0(sdtlpdtrp0(xC,X4))))|(((aSet0(X7)&![X8]:(~(aElementOf0(X8,X7))|aElementOf0(X8,sdtmndt0(sdtlpdtrp0(xN,X4),szmzizndt0(sdtlpdtrp0(xN,X4))))))&aSubsetOf0(X7,sdtmndt0(sdtlpdtrp0(xN,X4),szmzizndt0(sdtlpdtrp0(xN,X4)))))&sbrdtbr0(X7)=xk))&((((~(aSet0(X7))|(aElementOf0(esk35_2(X4,X7),X7)&~(aElementOf0(esk35_2(X4,X7),sdtmndt0(sdtlpdtrp0(xN,X4),szmzizndt0(sdtlpdtrp0(xN,X4)))))))&~(aSubsetOf0(X7,sdtmndt0(sdtlpdtrp0(xN,X4),szmzizndt0(sdtlpdtrp0(xN,X4))))))|~(sbrdtbr0(X7)=xk))|aElementOf0(X7,szDzozmdt0(sdtlpdtrp0(xC,X4))))))&szDzozmdt0(sdtlpdtrp0(xC,X4))=slbdtsldtrb0(sdtmndt0(sdtlpdtrp0(xN,X4),szmzizndt0(sdtlpdtrp0(xN,X4))),xk))&![X10]:((~(aSet0(X10))|((aElementOf0(szmzizndt0(sdtlpdtrp0(xN,X4)),sdtlpdtrp0(xN,X4))&![X11]:(~(aElementOf0(X11,sdtlpdtrp0(xN,X4)))|sdtlseqdt0(szmzizndt0(sdtlpdtrp0(xN,X4)),X11)))&((aSet0(sdtmndt0(sdtlpdtrp0(xN,X4),szmzizndt0(sdtlpdtrp0(xN,X4))))&![X12]:((~(aElementOf0(X12,sdtmndt0(sdtlpdtrp0(xN,X4),szmzizndt0(sdtlpdtrp0(xN,X4)))))|((aElement0(X12)&aElementOf0(X12,sdtlpdtrp0(xN,X4)))&~(X12=szmzizndt0(sdtlpdtrp0(xN,X4)))))&(((~(aElement0(X12))|~(aElementOf0(X12,sdtlpdtrp0(xN,X4))))|X12=szmzizndt0(sdtlpdtrp0(xN,X4)))|aElementOf0(X12,sdtmndt0(sdtlpdtrp0(xN,X4),szmzizndt0(sdtlpdtrp0(xN,X4)))))))&((((aElementOf0(esk36_2(X4,X10),X10)&~(aElementOf0(esk36_2(X4,X10),sdtmndt0(sdtlpdtrp0(xN,X4),szmzizndt0(sdtlpdtrp0(xN,X4))))))&~(aSubsetOf0(X10,sdtmndt0(sdtlpdtrp0(xN,X4),szmzizndt0(sdtlpdtrp0(xN,X4))))))|~(sbrdtbr0(X10)=xk))&~(aElementOf0(X10,slbdtsldtrb0(sdtmndt0(sdtlpdtrp0(xN,X4),szmzizndt0(sdtlpdtrp0(xN,X4))),xk)))))))|(((aElementOf0(szmzizndt0(sdtlpdtrp0(xN,X4)),sdtlpdtrp0(xN,X4))&![X14]:(~(aElementOf0(X14,sdtlpdtrp0(xN,X4)))|sdtlseqdt0(szmzizndt0(sdtlpdtrp0(xN,X4)),X14)))&![X15]:((~(aElementOf0(X15,sdtpldt0(X10,szmzizndt0(sdtlpdtrp0(xN,X4)))))|(aElement0(X15)&(aElementOf0(X15,X10)|X15=szmzizndt0(sdtlpdtrp0(xN,X4)))))&((~(aElement0(X15))|(~(aElementOf0(X15,X10))&~(X15=szmzizndt0(sdtlpdtrp0(xN,X4)))))|aElementOf0(X15,sdtpldt0(X10,szmzizndt0(sdtlpdtrp0(xN,X4)))))))&sdtlpdtrp0(sdtlpdtrp0(xC,X4),X10)=sdtlpdtrp0(xc,sdtpldt0(X10,szmzizndt0(sdtlpdtrp0(xN,X4)))))))),inference(skolemize,[status(esa)],[4679])).
% fof(4681, plain,![X4]:![X5]:![X6]:![X7]:![X8]:![X10]:![X11]:![X12]:![X14]:![X15]:(((((((~(aElementOf0(X15,sdtpldt0(X10,szmzizndt0(sdtlpdtrp0(xN,X4)))))|(aElement0(X15)&(aElementOf0(X15,X10)|X15=szmzizndt0(sdtlpdtrp0(xN,X4)))))&((~(aElement0(X15))|(~(aElementOf0(X15,X10))&~(X15=szmzizndt0(sdtlpdtrp0(xN,X4)))))|aElementOf0(X15,sdtpldt0(X10,szmzizndt0(sdtlpdtrp0(xN,X4))))))&((~(aElementOf0(X14,sdtlpdtrp0(xN,X4)))|sdtlseqdt0(szmzizndt0(sdtlpdtrp0(xN,X4)),X14))&aElementOf0(szmzizndt0(sdtlpdtrp0(xN,X4)),sdtlpdtrp0(xN,X4))))&sdtlpdtrp0(sdtlpdtrp0(xC,X4),X10)=sdtlpdtrp0(xc,sdtpldt0(X10,szmzizndt0(sdtlpdtrp0(xN,X4)))))|((((((~(aElementOf0(X12,sdtmndt0(sdtlpdtrp0(xN,X4),szmzizndt0(sdtlpdtrp0(xN,X4)))))|((aElement0(X12)&aElementOf0(X12,sdtlpdtrp0(xN,X4)))&~(X12=szmzizndt0(sdtlpdtrp0(xN,X4)))))&(((~(aElement0(X12))|~(aElementOf0(X12,sdtlpdtrp0(xN,X4))))|X12=szmzizndt0(sdtlpdtrp0(xN,X4)))|aElementOf0(X12,sdtmndt0(sdtlpdtrp0(xN,X4),szmzizndt0(sdtlpdtrp0(xN,X4))))))&aSet0(sdtmndt0(sdtlpdtrp0(xN,X4),szmzizndt0(sdtlpdtrp0(xN,X4)))))&((((aElementOf0(esk36_2(X4,X10),X10)&~(aElementOf0(esk36_2(X4,X10),sdtmndt0(sdtlpdtrp0(xN,X4),szmzizndt0(sdtlpdtrp0(xN,X4))))))&~(aSubsetOf0(X10,sdtmndt0(sdtlpdtrp0(xN,X4),szmzizndt0(sdtlpdtrp0(xN,X4))))))|~(sbrdtbr0(X10)=xk))&~(aElementOf0(X10,slbdtsldtrb0(sdtmndt0(sdtlpdtrp0(xN,X4),szmzizndt0(sdtlpdtrp0(xN,X4))),xk)))))&((~(aElementOf0(X11,sdtlpdtrp0(xN,X4)))|sdtlseqdt0(szmzizndt0(sdtlpdtrp0(xN,X4)),X11))&aElementOf0(szmzizndt0(sdtlpdtrp0(xN,X4)),sdtlpdtrp0(xN,X4))))|~(aSet0(X10))))&((((((((~(aElementOf0(X8,X7))|aElementOf0(X8,sdtmndt0(sdtlpdtrp0(xN,X4),szmzizndt0(sdtlpdtrp0(xN,X4)))))&aSet0(X7))&aSubsetOf0(X7,sdtmndt0(sdtlpdtrp0(xN,X4),szmzizndt0(sdtlpdtrp0(xN,X4)))))&sbrdtbr0(X7)=xk)|~(aElementOf0(X7,szDzozmdt0(sdtlpdtrp0(xC,X4)))))&((((~(aSet0(X7))|(aElementOf0(esk35_2(X4,X7),X7)&~(aElementOf0(esk35_2(X4,X7),sdtmndt0(sdtlpdtrp0(xN,X4),szmzizndt0(sdtlpdtrp0(xN,X4)))))))&~(aSubsetOf0(X7,sdtmndt0(sdtlpdtrp0(xN,X4),szmzizndt0(sdtlpdtrp0(xN,X4))))))|~(sbrdtbr0(X7)=xk))|aElementOf0(X7,szDzozmdt0(sdtlpdtrp0(xC,X4)))))&(((~(aElementOf0(X6,sdtmndt0(sdtlpdtrp0(xN,X4),szmzizndt0(sdtlpdtrp0(xN,X4)))))|((aElement0(X6)&aElementOf0(X6,sdtlpdtrp0(xN,X4)))&~(X6=szmzizndt0(sdtlpdtrp0(xN,X4)))))&(((~(aElement0(X6))|~(aElementOf0(X6,sdtlpdtrp0(xN,X4))))|X6=szmzizndt0(sdtlpdtrp0(xN,X4)))|aElementOf0(X6,sdtmndt0(sdtlpdtrp0(xN,X4),szmzizndt0(sdtlpdtrp0(xN,X4))))))&(((~(aElementOf0(X5,sdtlpdtrp0(xN,X4)))|sdtlseqdt0(szmzizndt0(sdtlpdtrp0(xN,X4)),X5))&(aFunction0(sdtlpdtrp0(xC,X4))&aElementOf0(szmzizndt0(sdtlpdtrp0(xN,X4)),sdtlpdtrp0(xN,X4))))&aSet0(sdtmndt0(sdtlpdtrp0(xN,X4),szmzizndt0(sdtlpdtrp0(xN,X4)))))))&szDzozmdt0(sdtlpdtrp0(xC,X4))=slbdtsldtrb0(sdtmndt0(sdtlpdtrp0(xN,X4),szmzizndt0(sdtlpdtrp0(xN,X4))),xk)))|~(epred2_1(X4))),inference(shift_quantors,[status(thm)],[4680])).
% fof(4682, plain,![X4]:![X5]:![X6]:![X7]:![X8]:![X10]:![X11]:![X12]:![X14]:![X15]:(((((((((((((((aElement0(X12)|~(aElementOf0(X12,sdtmndt0(sdtlpdtrp0(xN,X4),szmzizndt0(sdtlpdtrp0(xN,X4))))))|~(aSet0(X10)))|(aElement0(X15)|~(aElementOf0(X15,sdtpldt0(X10,szmzizndt0(sdtlpdtrp0(xN,X4)))))))|~(epred2_1(X4)))&((((aElementOf0(X12,sdtlpdtrp0(xN,X4))|~(aElementOf0(X12,sdtmndt0(sdtlpdtrp0(xN,X4),szmzizndt0(sdtlpdtrp0(xN,X4))))))|~(aSet0(X10)))|(aElement0(X15)|~(aElementOf0(X15,sdtpldt0(X10,szmzizndt0(sdtlpdtrp0(xN,X4)))))))|~(epred2_1(X4))))&((((~(X12=szmzizndt0(sdtlpdtrp0(xN,X4)))|~(aElementOf0(X12,sdtmndt0(sdtlpdtrp0(xN,X4),szmzizndt0(sdtlpdtrp0(xN,X4))))))|~(aSet0(X10)))|(aElement0(X15)|~(aElementOf0(X15,sdtpldt0(X10,szmzizndt0(sdtlpdtrp0(xN,X4)))))))|~(epred2_1(X4))))&((((((~(aElement0(X12))|~(aElementOf0(X12,sdtlpdtrp0(xN,X4))))|X12=szmzizndt0(sdtlpdtrp0(xN,X4)))|aElementOf0(X12,sdtmndt0(sdtlpdtrp0(xN,X4),szmzizndt0(sdtlpdtrp0(xN,X4)))))|~(aSet0(X10)))|(aElement0(X15)|~(aElementOf0(X15,sdtpldt0(X10,szmzizndt0(sdtlpdtrp0(xN,X4)))))))|~(epred2_1(X4))))&(((aSet0(sdtmndt0(sdtlpdtrp0(xN,X4),szmzizndt0(sdtlpdtrp0(xN,X4))))|~(aSet0(X10)))|(aElement0(X15)|~(aElementOf0(X15,sdtpldt0(X10,szmzizndt0(sdtlpdtrp0(xN,X4)))))))|~(epred2_1(X4))))&(((((((aElementOf0(esk36_2(X4,X10),X10)|~(sbrdtbr0(X10)=xk))|~(aSet0(X10)))|(aElement0(X15)|~(aElementOf0(X15,sdtpldt0(X10,szmzizndt0(sdtlpdtrp0(xN,X4)))))))|~(epred2_1(X4)))&((((~(aElementOf0(esk36_2(X4,X10),sdtmndt0(sdtlpdtrp0(xN,X4),szmzizndt0(sdtlpdtrp0(xN,X4)))))|~(sbrdtbr0(X10)=xk))|~(aSet0(X10)))|(aElement0(X15)|~(aElementOf0(X15,sdtpldt0(X10,szmzizndt0(sdtlpdtrp0(xN,X4)))))))|~(epred2_1(X4))))&((((~(aSubsetOf0(X10,sdtmndt0(sdtlpdtrp0(xN,X4),szmzizndt0(sdtlpdtrp0(xN,X4)))))|~(sbrdtbr0(X10)=xk))|~(aSet0(X10)))|(aElement0(X15)|~(aElementOf0(X15,sdtpldt0(X10,szmzizndt0(sdtlpdtrp0(xN,X4)))))))|~(epred2_1(X4))))&(((~(aElementOf0(X10,slbdtsldtrb0(sdtmndt0(sdtlpdtrp0(xN,X4),szmzizndt0(sdtlpdtrp0(xN,X4))),xk)))|~(aSet0(X10)))|(aElement0(X15)|~(aElementOf0(X15,sdtpldt0(X10,szmzizndt0(sdtlpdtrp0(xN,X4)))))))|~(epred2_1(X4)))))&(((((~(aElementOf0(X11,sdtlpdtrp0(xN,X4)))|sdtlseqdt0(szmzizndt0(sdtlpdtrp0(xN,X4)),X11))|~(aSet0(X10)))|(aElement0(X15)|~(aElementOf0(X15,sdtpldt0(X10,szmzizndt0(sdtlpdtrp0(xN,X4)))))))|~(epred2_1(X4)))&(((aElementOf0(szmzizndt0(sdtlpdtrp0(xN,X4)),sdtlpdtrp0(xN,X4))|~(aSet0(X10)))|(aElement0(X15)|~(aElementOf0(X15,sdtpldt0(X10,szmzizndt0(sdtlpdtrp0(xN,X4)))))))|~(epred2_1(X4)))))&((((((((((aElement0(X12)|~(aElementOf0(X12,sdtmndt0(sdtlpdtrp0(xN,X4),szmzizndt0(sdtlpdtrp0(xN,X4))))))|~(aSet0(X10)))|((aElementOf0(X15,X10)|X15=szmzizndt0(sdtlpdtrp0(xN,X4)))|~(aElementOf0(X15,sdtpldt0(X10,szmzizndt0(sdtlpdtrp0(xN,X4)))))))|~(epred2_1(X4)))&((((aElementOf0(X12,sdtlpdtrp0(xN,X4))|~(aElementOf0(X12,sdtmndt0(sdtlpdtrp0(xN,X4),szmzizndt0(sdtlpdtrp0(xN,X4))))))|~(aSet0(X10)))|((aElementOf0(X15,X10)|X15=szmzizndt0(sdtlpdtrp0(xN,X4)))|~(aElementOf0(X15,sdtpldt0(X10,szmzizndt0(sdtlpdtrp0(xN,X4)))))))|~(epred2_1(X4))))&((((~(X12=szmzizndt0(sdtlpdtrp0(xN,X4)))|~(aElementOf0(X12,sdtmndt0(sdtlpdtrp0(xN,X4),szmzizndt0(sdtlpdtrp0(xN,X4))))))|~(aSet0(X10)))|((aElementOf0(X15,X10)|X15=szmzizndt0(sdtlpdtrp0(xN,X4)))|~(aElementOf0(X15,sdtpldt0(X10,szmzizndt0(sdtlpdtrp0(xN,X4)))))))|~(epred2_1(X4))))&((((((~(aElement0(X12))|~(aElementOf0(X12,sdtlpdtrp0(xN,X4))))|X12=szmzizndt0(sdtlpdtrp0(xN,X4)))|aElementOf0(X12,sdtmndt0(sdtlpdtrp0(xN,X4),szmzizndt0(sdtlpdtrp0(xN,X4)))))|~(aSet0(X10)))|((aElementOf0(X15,X10)|X15=szmzizndt0(sdtlpdtrp0(xN,X4)))|~(aElementOf0(X15,sdtpldt0(X10,szmzizndt0(sdtlpdtrp0(xN,X4)))))))|~(epred2_1(X4))))&(((aSet0(sdtmndt0(sdtlpdtrp0(xN,X4),szmzizndt0(sdtlpdtrp0(xN,X4))))|~(aSet0(X10)))|((aElementOf0(X15,X10)|X15=szmzizndt0(sdtlpdtrp0(xN,X4)))|~(aElementOf0(X15,sdtpldt0(X10,szmzizndt0(sdtlpdtrp0(xN,X4)))))))|~(epred2_1(X4))))&(((((((aElementOf0(esk36_2(X4,X10),X10)|~(sbrdtbr0(X10)=xk))|~(aSet0(X10)))|((aElementOf0(X15,X10)|X15=szmzizndt0(sdtlpdtrp0(xN,X4)))|~(aElementOf0(X15,sdtpldt0(X10,szmzizndt0(sdtlpdtrp0(xN,X4)))))))|~(epred2_1(X4)))&((((~(aElementOf0(esk36_2(X4,X10),sdtmndt0(sdtlpdtrp0(xN,X4),szmzizndt0(sdtlpdtrp0(xN,X4)))))|~(sbrdtbr0(X10)=xk))|~(aSet0(X10)))|((aElementOf0(X15,X10)|X15=szmzizndt0(sdtlpdtrp0(xN,X4)))|~(aElementOf0(X15,sdtpldt0(X10,szmzizndt0(sdtlpdtrp0(xN,X4)))))))|~(epred2_1(X4))))&((((~(aSubsetOf0(X10,sdtmndt0(sdtlpdtrp0(xN,X4),szmzizndt0(sdtlpdtrp0(xN,X4)))))|~(sbrdtbr0(X10)=xk))|~(aSet0(X10)))|((aElementOf0(X15,X10)|X15=szmzizndt0(sdtlpdtrp0(xN,X4)))|~(aElementOf0(X15,sdtpldt0(X10,szmzizndt0(sdtlpdtrp0(xN,X4)))))))|~(epred2_1(X4))))&(((~(aElementOf0(X10,slbdtsldtrb0(sdtmndt0(sdtlpdtrp0(xN,X4),szmzizndt0(sdtlpdtrp0(xN,X4))),xk)))|~(aSet0(X10)))|((aElementOf0(X15,X10)|X15=szmzizndt0(sdtlpdtrp0(xN,X4)))|~(aElementOf0(X15,sdtpldt0(X10,szmzizndt0(sdtlpdtrp0(xN,X4)))))))|~(epred2_1(X4)))))&(((((~(aElementOf0(X11,sdtlpdtrp0(xN,X4)))|sdtlseqdt0(szmzizndt0(sdtlpdtrp0(xN,X4)),X11))|~(aSet0(X10)))|((aElementOf0(X15,X10)|X15=szmzizndt0(sdtlpdtrp0(xN,X4)))|~(aElementOf0(X15,sdtpldt0(X10,szmzizndt0(sdtlpdtrp0(xN,X4)))))))|~(epred2_1(X4)))&(((aElementOf0(szmzizndt0(sdtlpdtrp0(xN,X4)),sdtlpdtrp0(xN,X4))|~(aSet0(X10)))|((aElementOf0(X15,X10)|X15=szmzizndt0(sdtlpdtrp0(xN,X4)))|~(aElementOf0(X15,sdtpldt0(X10,szmzizndt0(sdtlpdtrp0(xN,X4)))))))|~(epred2_1(X4))))))&(((((((((((aElement0(X12)|~(aElementOf0(X12,sdtmndt0(sdtlpdtrp0(xN,X4),szmzizndt0(sdtlpdtrp0(xN,X4))))))|~(aSet0(X10)))|((~(aElementOf0(X15,X10))|~(aElement0(X15)))|aElementOf0(X15,sdtpldt0(X10,szmzizndt0(sdtlpdtrp0(xN,X4))))))|~(epred2_1(X4)))&((((aElementOf0(X12,sdtlpdtrp0(xN,X4))|~(aElementOf0(X12,sdtmndt0(sdtlpdtrp0(xN,X4),szmzizndt0(sdtlpdtrp0(xN,X4))))))|~(aSet0(X10)))|((~(aElementOf0(X15,X10))|~(aElement0(X15)))|aElementOf0(X15,sdtpldt0(X10,szmzizndt0(sdtlpdtrp0(xN,X4))))))|~(epred2_1(X4))))&((((~(X12=szmzizndt0(sdtlpdtrp0(xN,X4)))|~(aElementOf0(X12,sdtmndt0(sdtlpdtrp0(xN,X4),szmzizndt0(sdtlpdtrp0(xN,X4))))))|~(aSet0(X10)))|((~(aElementOf0(X15,X10))|~(aElement0(X15)))|aElementOf0(X15,sdtpldt0(X10,szmzizndt0(sdtlpdtrp0(xN,X4))))))|~(epred2_1(X4))))&((((((~(aElement0(X12))|~(aElementOf0(X12,sdtlpdtrp0(xN,X4))))|X12=szmzizndt0(sdtlpdtrp0(xN,X4)))|aElementOf0(X12,sdtmndt0(sdtlpdtrp0(xN,X4),szmzizndt0(sdtlpdtrp0(xN,X4)))))|~(aSet0(X10)))|((~(aElementOf0(X15,X10))|~(aElement0(X15)))|aElementOf0(X15,sdtpldt0(X10,szmzizndt0(sdtlpdtrp0(xN,X4))))))|~(epred2_1(X4))))&(((aSet0(sdtmndt0(sdtlpdtrp0(xN,X4),szmzizndt0(sdtlpdtrp0(xN,X4))))|~(aSet0(X10)))|((~(aElementOf0(X15,X10))|~(aElement0(X15)))|aElementOf0(X15,sdtpldt0(X10,szmzizndt0(sdtlpdtrp0(xN,X4))))))|~(epred2_1(X4))))&(((((((aElementOf0(esk36_2(X4,X10),X10)|~(sbrdtbr0(X10)=xk))|~(aSet0(X10)))|((~(aElementOf0(X15,X10))|~(aElement0(X15)))|aElementOf0(X15,sdtpldt0(X10,szmzizndt0(sdtlpdtrp0(xN,X4))))))|~(epred2_1(X4)))&((((~(aElementOf0(esk36_2(X4,X10),sdtmndt0(sdtlpdtrp0(xN,X4),szmzizndt0(sdtlpdtrp0(xN,X4)))))|~(sbrdtbr0(X10)=xk))|~(aSet0(X10)))|((~(aElementOf0(X15,X10))|~(aElement0(X15)))|aElementOf0(X15,sdtpldt0(X10,szmzizndt0(sdtlpdtrp0(xN,X4))))))|~(epred2_1(X4))))&((((~(aSubsetOf0(X10,sdtmndt0(sdtlpdtrp0(xN,X4),szmzizndt0(sdtlpdtrp0(xN,X4)))))|~(sbrdtbr0(X10)=xk))|~(aSet0(X10)))|((~(aElementOf0(X15,X10))|~(aElement0(X15)))|aElementOf0(X15,sdtpldt0(X10,szmzizndt0(sdtlpdtrp0(xN,X4))))))|~(epred2_1(X4))))&(((~(aElementOf0(X10,slbdtsldtrb0(sdtmndt0(sdtlpdtrp0(xN,X4),szmzizndt0(sdtlpdtrp0(xN,X4))),xk)))|~(aSet0(X10)))|((~(aElementOf0(X15,X10))|~(aElement0(X15)))|aElementOf0(X15,sdtpldt0(X10,szmzizndt0(sdtlpdtrp0(xN,X4))))))|~(epred2_1(X4)))))&(((((~(aElementOf0(X11,sdtlpdtrp0(xN,X4)))|sdtlseqdt0(szmzizndt0(sdtlpdtrp0(xN,X4)),X11))|~(aSet0(X10)))|((~(aElementOf0(X15,X10))|~(aElement0(X15)))|aElementOf0(X15,sdtpldt0(X10,szmzizndt0(sdtlpdtrp0(xN,X4))))))|~(epred2_1(X4)))&(((aElementOf0(szmzizndt0(sdtlpdtrp0(xN,X4)),sdtlpdtrp0(xN,X4))|~(aSet0(X10)))|((~(aElementOf0(X15,X10))|~(aElement0(X15)))|aElementOf0(X15,sdtpldt0(X10,szmzizndt0(sdtlpdtrp0(xN,X4))))))|~(epred2_1(X4)))))&((((((((((aElement0(X12)|~(aElementOf0(X12,sdtmndt0(sdtlpdtrp0(xN,X4),szmzizndt0(sdtlpdtrp0(xN,X4))))))|~(aSet0(X10)))|((~(X15=szmzizndt0(sdtlpdtrp0(xN,X4)))|~(aElement0(X15)))|aElementOf0(X15,sdtpldt0(X10,szmzizndt0(sdtlpdtrp0(xN,X4))))))|~(epred2_1(X4)))&((((aElementOf0(X12,sdtlpdtrp0(xN,X4))|~(aElementOf0(X12,sdtmndt0(sdtlpdtrp0(xN,X4),szmzizndt0(sdtlpdtrp0(xN,X4))))))|~(aSet0(X10)))|((~(X15=szmzizndt0(sdtlpdtrp0(xN,X4)))|~(aElement0(X15)))|aElementOf0(X15,sdtpldt0(X10,szmzizndt0(sdtlpdtrp0(xN,X4))))))|~(epred2_1(X4))))&((((~(X12=szmzizndt0(sdtlpdtrp0(xN,X4)))|~(aElementOf0(X12,sdtmndt0(sdtlpdtrp0(xN,X4),szmzizndt0(sdtlpdtrp0(xN,X4))))))|~(aSet0(X10)))|((~(X15=szmzizndt0(sdtlpdtrp0(xN,X4)))|~(aElement0(X15)))|aElementOf0(X15,sdtpldt0(X10,szmzizndt0(sdtlpdtrp0(xN,X4))))))|~(epred2_1(X4))))&((((((~(aElement0(X12))|~(aElementOf0(X12,sdtlpdtrp0(xN,X4))))|X12=szmzizndt0(sdtlpdtrp0(xN,X4)))|aElementOf0(X12,sdtmndt0(sdtlpdtrp0(xN,X4),szmzizndt0(sdtlpdtrp0(xN,X4)))))|~(aSet0(X10)))|((~(X15=szmzizndt0(sdtlpdtrp0(xN,X4)))|~(aElement0(X15)))|aElementOf0(X15,sdtpldt0(X10,szmzizndt0(sdtlpdtrp0(xN,X4))))))|~(epred2_1(X4))))&(((aSet0(sdtmndt0(sdtlpdtrp0(xN,X4),szmzizndt0(sdtlpdtrp0(xN,X4))))|~(aSet0(X10)))|((~(X15=szmzizndt0(sdtlpdtrp0(xN,X4)))|~(aElement0(X15)))|aElementOf0(X15,sdtpldt0(X10,szmzizndt0(sdtlpdtrp0(xN,X4))))))|~(epred2_1(X4))))&(((((((aElementOf0(esk36_2(X4,X10),X10)|~(sbrdtbr0(X10)=xk))|~(aSet0(X10)))|((~(X15=szmzizndt0(sdtlpdtrp0(xN,X4)))|~(aElement0(X15)))|aElementOf0(X15,sdtpldt0(X10,szmzizndt0(sdtlpdtrp0(xN,X4))))))|~(epred2_1(X4)))&((((~(aElementOf0(esk36_2(X4,X10),sdtmndt0(sdtlpdtrp0(xN,X4),szmzizndt0(sdtlpdtrp0(xN,X4)))))|~(sbrdtbr0(X10)=xk))|~(aSet0(X10)))|((~(X15=szmzizndt0(sdtlpdtrp0(xN,X4)))|~(aElement0(X15)))|aElementOf0(X15,sdtpldt0(X10,szmzizndt0(sdtlpdtrp0(xN,X4))))))|~(epred2_1(X4))))&((((~(aSubsetOf0(X10,sdtmndt0(sdtlpdtrp0(xN,X4),szmzizndt0(sdtlpdtrp0(xN,X4)))))|~(sbrdtbr0(X10)=xk))|~(aSet0(X10)))|((~(X15=szmzizndt0(sdtlpdtrp0(xN,X4)))|~(aElement0(X15)))|aElementOf0(X15,sdtpldt0(X10,szmzizndt0(sdtlpdtrp0(xN,X4))))))|~(epred2_1(X4))))&(((~(aElementOf0(X10,slbdtsldtrb0(sdtmndt0(sdtlpdtrp0(xN,X4),szmzizndt0(sdtlpdtrp0(xN,X4))),xk)))|~(aSet0(X10)))|((~(X15=szmzizndt0(sdtlpdtrp0(xN,X4)))|~(aElement0(X15)))|aElementOf0(X15,sdtpldt0(X10,szmzizndt0(sdtlpdtrp0(xN,X4))))))|~(epred2_1(X4)))))&(((((~(aElementOf0(X11,sdtlpdtrp0(xN,X4)))|sdtlseqdt0(szmzizndt0(sdtlpdtrp0(xN,X4)),X11))|~(aSet0(X10)))|((~(X15=szmzizndt0(sdtlpdtrp0(xN,X4)))|~(aElement0(X15)))|aElementOf0(X15,sdtpldt0(X10,szmzizndt0(sdtlpdtrp0(xN,X4))))))|~(epred2_1(X4)))&(((aElementOf0(szmzizndt0(sdtlpdtrp0(xN,X4)),sdtlpdtrp0(xN,X4))|~(aSet0(X10)))|((~(X15=szmzizndt0(sdtlpdtrp0(xN,X4)))|~(aElement0(X15)))|aElementOf0(X15,sdtpldt0(X10,szmzizndt0(sdtlpdtrp0(xN,X4))))))|~(epred2_1(X4)))))))&(((((((((((aElement0(X12)|~(aElementOf0(X12,sdtmndt0(sdtlpdtrp0(xN,X4),szmzizndt0(sdtlpdtrp0(xN,X4))))))|~(aSet0(X10)))|(~(aElementOf0(X14,sdtlpdtrp0(xN,X4)))|sdtlseqdt0(szmzizndt0(sdtlpdtrp0(xN,X4)),X14)))|~(epred2_1(X4)))&((((aElementOf0(X12,sdtlpdtrp0(xN,X4))|~(aElementOf0(X12,sdtmndt0(sdtlpdtrp0(xN,X4),szmzizndt0(sdtlpdtrp0(xN,X4))))))|~(aSet0(X10)))|(~(aElementOf0(X14,sdtlpdtrp0(xN,X4)))|sdtlseqdt0(szmzizndt0(sdtlpdtrp0(xN,X4)),X14)))|~(epred2_1(X4))))&((((~(X12=szmzizndt0(sdtlpdtrp0(xN,X4)))|~(aElementOf0(X12,sdtmndt0(sdtlpdtrp0(xN,X4),szmzizndt0(sdtlpdtrp0(xN,X4))))))|~(aSet0(X10)))|(~(aElementOf0(X14,sdtlpdtrp0(xN,X4)))|sdtlseqdt0(szmzizndt0(sdtlpdtrp0(xN,X4)),X14)))|~(epred2_1(X4))))&((((((~(aElement0(X12))|~(aElementOf0(X12,sdtlpdtrp0(xN,X4))))|X12=szmzizndt0(sdtlpdtrp0(xN,X4)))|aElementOf0(X12,sdtmndt0(sdtlpdtrp0(xN,X4),szmzizndt0(sdtlpdtrp0(xN,X4)))))|~(aSet0(X10)))|(~(aElementOf0(X14,sdtlpdtrp0(xN,X4)))|sdtlseqdt0(szmzizndt0(sdtlpdtrp0(xN,X4)),X14)))|~(epred2_1(X4))))&(((aSet0(sdtmndt0(sdtlpdtrp0(xN,X4),szmzizndt0(sdtlpdtrp0(xN,X4))))|~(aSet0(X10)))|(~(aElementOf0(X14,sdtlpdtrp0(xN,X4)))|sdtlseqdt0(szmzizndt0(sdtlpdtrp0(xN,X4)),X14)))|~(epred2_1(X4))))&(((((((aElementOf0(esk36_2(X4,X10),X10)|~(sbrdtbr0(X10)=xk))|~(aSet0(X10)))|(~(aElementOf0(X14,sdtlpdtrp0(xN,X4)))|sdtlseqdt0(szmzizndt0(sdtlpdtrp0(xN,X4)),X14)))|~(epred2_1(X4)))&((((~(aElementOf0(esk36_2(X4,X10),sdtmndt0(sdtlpdtrp0(xN,X4),szmzizndt0(sdtlpdtrp0(xN,X4)))))|~(sbrdtbr0(X10)=xk))|~(aSet0(X10)))|(~(aElementOf0(X14,sdtlpdtrp0(xN,X4)))|sdtlseqdt0(szmzizndt0(sdtlpdtrp0(xN,X4)),X14)))|~(epred2_1(X4))))&((((~(aSubsetOf0(X10,sdtmndt0(sdtlpdtrp0(xN,X4),szmzizndt0(sdtlpdtrp0(xN,X4)))))|~(sbrdtbr0(X10)=xk))|~(aSet0(X10)))|(~(aElementOf0(X14,sdtlpdtrp0(xN,X4)))|sdtlseqdt0(szmzizndt0(sdtlpdtrp0(xN,X4)),X14)))|~(epred2_1(X4))))&(((~(aElementOf0(X10,slbdtsldtrb0(sdtmndt0(sdtlpdtrp0(xN,X4),szmzizndt0(sdtlpdtrp0(xN,X4))),xk)))|~(aSet0(X10)))|(~(aElementOf0(X14,sdtlpdtrp0(xN,X4)))|sdtlseqdt0(szmzizndt0(sdtlpdtrp0(xN,X4)),X14)))|~(epred2_1(X4)))))&(((((~(aElementOf0(X11,sdtlpdtrp0(xN,X4)))|sdtlseqdt0(szmzizndt0(sdtlpdtrp0(xN,X4)),X11))|~(aSet0(X10)))|(~(aElementOf0(X14,sdtlpdtrp0(xN,X4)))|sdtlseqdt0(szmzizndt0(sdtlpdtrp0(xN,X4)),X14)))|~(epred2_1(X4)))&(((aElementOf0(szmzizndt0(sdtlpdtrp0(xN,X4)),sdtlpdtrp0(xN,X4))|~(aSet0(X10)))|(~(aElementOf0(X14,sdtlpdtrp0(xN,X4)))|sdtlseqdt0(szmzizndt0(sdtlpdtrp0(xN,X4)),X14)))|~(epred2_1(X4)))))&((((((((((aElement0(X12)|~(aElementOf0(X12,sdtmndt0(sdtlpdtrp0(xN,X4),szmzizndt0(sdtlpdtrp0(xN,X4))))))|~(aSet0(X10)))|aElementOf0(szmzizndt0(sdtlpdtrp0(xN,X4)),sdtlpdtrp0(xN,X4)))|~(epred2_1(X4)))&((((aElementOf0(X12,sdtlpdtrp0(xN,X4))|~(aElementOf0(X12,sdtmndt0(sdtlpdtrp0(xN,X4),szmzizndt0(sdtlpdtrp0(xN,X4))))))|~(aSet0(X10)))|aElementOf0(szmzizndt0(sdtlpdtrp0(xN,X4)),sdtlpdtrp0(xN,X4)))|~(epred2_1(X4))))&((((~(X12=szmzizndt0(sdtlpdtrp0(xN,X4)))|~(aElementOf0(X12,sdtmndt0(sdtlpdtrp0(xN,X4),szmzizndt0(sdtlpdtrp0(xN,X4))))))|~(aSet0(X10)))|aElementOf0(szmzizndt0(sdtlpdtrp0(xN,X4)),sdtlpdtrp0(xN,X4)))|~(epred2_1(X4))))&((((((~(aElement0(X12))|~(aElementOf0(X12,sdtlpdtrp0(xN,X4))))|X12=szmzizndt0(sdtlpdtrp0(xN,X4)))|aElementOf0(X12,sdtmndt0(sdtlpdtrp0(xN,X4),szmzizndt0(sdtlpdtrp0(xN,X4)))))|~(aSet0(X10)))|aElementOf0(szmzizndt0(sdtlpdtrp0(xN,X4)),sdtlpdtrp0(xN,X4)))|~(epred2_1(X4))))&(((aSet0(sdtmndt0(sdtlpdtrp0(xN,X4),szmzizndt0(sdtlpdtrp0(xN,X4))))|~(aSet0(X10)))|aElementOf0(szmzizndt0(sdtlpdtrp0(xN,X4)),sdtlpdtrp0(xN,X4)))|~(epred2_1(X4))))&(((((((aElementOf0(esk36_2(X4,X10),X10)|~(sbrdtbr0(X10)=xk))|~(aSet0(X10)))|aElementOf0(szmzizndt0(sdtlpdtrp0(xN,X4)),sdtlpdtrp0(xN,X4)))|~(epred2_1(X4)))&((((~(aElementOf0(esk36_2(X4,X10),sdtmndt0(sdtlpdtrp0(xN,X4),szmzizndt0(sdtlpdtrp0(xN,X4)))))|~(sbrdtbr0(X10)=xk))|~(aSet0(X10)))|aElementOf0(szmzizndt0(sdtlpdtrp0(xN,X4)),sdtlpdtrp0(xN,X4)))|~(epred2_1(X4))))&((((~(aSubsetOf0(X10,sdtmndt0(sdtlpdtrp0(xN,X4),szmzizndt0(sdtlpdtrp0(xN,X4)))))|~(sbrdtbr0(X10)=xk))|~(aSet0(X10)))|aElementOf0(szmzizndt0(sdtlpdtrp0(xN,X4)),sdtlpdtrp0(xN,X4)))|~(epred2_1(X4))))&(((~(aElementOf0(X10,slbdtsldtrb0(sdtmndt0(sdtlpdtrp0(xN,X4),szmzizndt0(sdtlpdtrp0(xN,X4))),xk)))|~(aSet0(X10)))|aElementOf0(szmzizndt0(sdtlpdtrp0(xN,X4)),sdtlpdtrp0(xN,X4)))|~(epred2_1(X4)))))&(((((~(aElementOf0(X11,sdtlpdtrp0(xN,X4)))|sdtlseqdt0(szmzizndt0(sdtlpdtrp0(xN,X4)),X11))|~(aSet0(X10)))|aElementOf0(szmzizndt0(sdtlpdtrp0(xN,X4)),sdtlpdtrp0(xN,X4)))|~(epred2_1(X4)))&(((aElementOf0(szmzizndt0(sdtlpdtrp0(xN,X4)),sdtlpdtrp0(xN,X4))|~(aSet0(X10)))|aElementOf0(szmzizndt0(sdtlpdtrp0(xN,X4)),sdtlpdtrp0(xN,X4)))|~(epred2_1(X4)))))))&((((((((((aElement0(X12)|~(aElementOf0(X12,sdtmndt0(sdtlpdtrp0(xN,X4),szmzizndt0(sdtlpdtrp0(xN,X4))))))|~(aSet0(X10)))|sdtlpdtrp0(sdtlpdtrp0(xC,X4),X10)=sdtlpdtrp0(xc,sdtpldt0(X10,szmzizndt0(sdtlpdtrp0(xN,X4)))))|~(epred2_1(X4)))&((((aElementOf0(X12,sdtlpdtrp0(xN,X4))|~(aElementOf0(X12,sdtmndt0(sdtlpdtrp0(xN,X4),szmzizndt0(sdtlpdtrp0(xN,X4))))))|~(aSet0(X10)))|sdtlpdtrp0(sdtlpdtrp0(xC,X4),X10)=sdtlpdtrp0(xc,sdtpldt0(X10,szmzizndt0(sdtlpdtrp0(xN,X4)))))|~(epred2_1(X4))))&((((~(X12=szmzizndt0(sdtlpdtrp0(xN,X4)))|~(aElementOf0(X12,sdtmndt0(sdtlpdtrp0(xN,X4),szmzizndt0(sdtlpdtrp0(xN,X4))))))|~(aSet0(X10)))|sdtlpdtrp0(sdtlpdtrp0(xC,X4),X10)=sdtlpdtrp0(xc,sdtpldt0(X10,szmzizndt0(sdtlpdtrp0(xN,X4)))))|~(epred2_1(X4))))&((((((~(aElement0(X12))|~(aElementOf0(X12,sdtlpdtrp0(xN,X4))))|X12=szmzizndt0(sdtlpdtrp0(xN,X4)))|aElementOf0(X12,sdtmndt0(sdtlpdtrp0(xN,X4),szmzizndt0(sdtlpdtrp0(xN,X4)))))|~(aSet0(X10)))|sdtlpdtrp0(sdtlpdtrp0(xC,X4),X10)=sdtlpdtrp0(xc,sdtpldt0(X10,szmzizndt0(sdtlpdtrp0(xN,X4)))))|~(epred2_1(X4))))&(((aSet0(sdtmndt0(sdtlpdtrp0(xN,X4),szmzizndt0(sdtlpdtrp0(xN,X4))))|~(aSet0(X10)))|sdtlpdtrp0(sdtlpdtrp0(xC,X4),X10)=sdtlpdtrp0(xc,sdtpldt0(X10,szmzizndt0(sdtlpdtrp0(xN,X4)))))|~(epred2_1(X4))))&(((((((aElementOf0(esk36_2(X4,X10),X10)|~(sbrdtbr0(X10)=xk))|~(aSet0(X10)))|sdtlpdtrp0(sdtlpdtrp0(xC,X4),X10)=sdtlpdtrp0(xc,sdtpldt0(X10,szmzizndt0(sdtlpdtrp0(xN,X4)))))|~(epred2_1(X4)))&((((~(aElementOf0(esk36_2(X4,X10),sdtmndt0(sdtlpdtrp0(xN,X4),szmzizndt0(sdtlpdtrp0(xN,X4)))))|~(sbrdtbr0(X10)=xk))|~(aSet0(X10)))|sdtlpdtrp0(sdtlpdtrp0(xC,X4),X10)=sdtlpdtrp0(xc,sdtpldt0(X10,szmzizndt0(sdtlpdtrp0(xN,X4)))))|~(epred2_1(X4))))&((((~(aSubsetOf0(X10,sdtmndt0(sdtlpdtrp0(xN,X4),szmzizndt0(sdtlpdtrp0(xN,X4)))))|~(sbrdtbr0(X10)=xk))|~(aSet0(X10)))|sdtlpdtrp0(sdtlpdtrp0(xC,X4),X10)=sdtlpdtrp0(xc,sdtpldt0(X10,szmzizndt0(sdtlpdtrp0(xN,X4)))))|~(epred2_1(X4))))&(((~(aElementOf0(X10,slbdtsldtrb0(sdtmndt0(sdtlpdtrp0(xN,X4),szmzizndt0(sdtlpdtrp0(xN,X4))),xk)))|~(aSet0(X10)))|sdtlpdtrp0(sdtlpdtrp0(xC,X4),X10)=sdtlpdtrp0(xc,sdtpldt0(X10,szmzizndt0(sdtlpdtrp0(xN,X4)))))|~(epred2_1(X4)))))&(((((~(aElementOf0(X11,sdtlpdtrp0(xN,X4)))|sdtlseqdt0(szmzizndt0(sdtlpdtrp0(xN,X4)),X11))|~(aSet0(X10)))|sdtlpdtrp0(sdtlpdtrp0(xC,X4),X10)=sdtlpdtrp0(xc,sdtpldt0(X10,szmzizndt0(sdtlpdtrp0(xN,X4)))))|~(epred2_1(X4)))&(((aElementOf0(szmzizndt0(sdtlpdtrp0(xN,X4)),sdtlpdtrp0(xN,X4))|~(aSet0(X10)))|sdtlpdtrp0(sdtlpdtrp0(xC,X4),X10)=sdtlpdtrp0(xc,sdtpldt0(X10,szmzizndt0(sdtlpdtrp0(xN,X4)))))|~(epred2_1(X4))))))&(((((((((~(aElementOf0(X8,X7))|aElementOf0(X8,sdtmndt0(sdtlpdtrp0(xN,X4),szmzizndt0(sdtlpdtrp0(xN,X4)))))|~(aElementOf0(X7,szDzozmdt0(sdtlpdtrp0(xC,X4)))))|~(epred2_1(X4)))&((aSet0(X7)|~(aElementOf0(X7,szDzozmdt0(sdtlpdtrp0(xC,X4)))))|~(epred2_1(X4))))&((aSubsetOf0(X7,sdtmndt0(sdtlpdtrp0(xN,X4),szmzizndt0(sdtlpdtrp0(xN,X4))))|~(aElementOf0(X7,szDzozmdt0(sdtlpdtrp0(xC,X4)))))|~(epred2_1(X4))))&((sbrdtbr0(X7)=xk|~(aElementOf0(X7,szDzozmdt0(sdtlpdtrp0(xC,X4)))))|~(epred2_1(X4))))&((((((aElementOf0(esk35_2(X4,X7),X7)|~(aSet0(X7)))|~(sbrdtbr0(X7)=xk))|aElementOf0(X7,szDzozmdt0(sdtlpdtrp0(xC,X4))))|~(epred2_1(X4)))&((((~(aElementOf0(esk35_2(X4,X7),sdtmndt0(sdtlpdtrp0(xN,X4),szmzizndt0(sdtlpdtrp0(xN,X4)))))|~(aSet0(X7)))|~(sbrdtbr0(X7)=xk))|aElementOf0(X7,szDzozmdt0(sdtlpdtrp0(xC,X4))))|~(epred2_1(X4))))&(((~(aSubsetOf0(X7,sdtmndt0(sdtlpdtrp0(xN,X4),szmzizndt0(sdtlpdtrp0(xN,X4)))))|~(sbrdtbr0(X7)=xk))|aElementOf0(X7,szDzozmdt0(sdtlpdtrp0(xC,X4))))|~(epred2_1(X4)))))&((((((aElement0(X6)|~(aElementOf0(X6,sdtmndt0(sdtlpdtrp0(xN,X4),szmzizndt0(sdtlpdtrp0(xN,X4))))))|~(epred2_1(X4)))&((aElementOf0(X6,sdtlpdtrp0(xN,X4))|~(aElementOf0(X6,sdtmndt0(sdtlpdtrp0(xN,X4),szmzizndt0(sdtlpdtrp0(xN,X4))))))|~(epred2_1(X4))))&((~(X6=szmzizndt0(sdtlpdtrp0(xN,X4)))|~(aElementOf0(X6,sdtmndt0(sdtlpdtrp0(xN,X4),szmzizndt0(sdtlpdtrp0(xN,X4))))))|~(epred2_1(X4))))&((((~(aElement0(X6))|~(aElementOf0(X6,sdtlpdtrp0(xN,X4))))|X6=szmzizndt0(sdtlpdtrp0(xN,X4)))|aElementOf0(X6,sdtmndt0(sdtlpdtrp0(xN,X4),szmzizndt0(sdtlpdtrp0(xN,X4)))))|~(epred2_1(X4))))&((((~(aElementOf0(X5,sdtlpdtrp0(xN,X4)))|sdtlseqdt0(szmzizndt0(sdtlpdtrp0(xN,X4)),X5))|~(epred2_1(X4)))&((aFunction0(sdtlpdtrp0(xC,X4))|~(epred2_1(X4)))&(aElementOf0(szmzizndt0(sdtlpdtrp0(xN,X4)),sdtlpdtrp0(xN,X4))|~(epred2_1(X4)))))&(aSet0(sdtmndt0(sdtlpdtrp0(xN,X4),szmzizndt0(sdtlpdtrp0(xN,X4))))|~(epred2_1(X4))))))&(szDzozmdt0(sdtlpdtrp0(xC,X4))=slbdtsldtrb0(sdtmndt0(sdtlpdtrp0(xN,X4),szmzizndt0(sdtlpdtrp0(xN,X4))),xk)|~(epred2_1(X4))))),inference(distribute,[status(thm)],[4681])).
% cnf(4683,plain,(szDzozmdt0(sdtlpdtrp0(xC,X1))=slbdtsldtrb0(sdtmndt0(sdtlpdtrp0(xN,X1),szmzizndt0(sdtlpdtrp0(xN,X1))),xk)|~epred2_1(X1)),inference(split_conjunct,[status(thm)],[4682])).
% cnf(8106,negated_conjecture,(sdtlpdtrp0(sdtlpdtrp0(xC,xi),X1)!=xx|~aElementOf0(X1,szDzozmdt0(sdtlpdtrp0(xC,xi)))|~epred2_1(xi)),inference(spm,[status(thm)],[4543,4683,theory(equality)])).
% cnf(82417,negated_conjecture,(sdtlpdtrp0(sdtlpdtrp0(xC,xi),esk25_0)!=xx|~epred2_1(xi)),inference(spm,[status(thm)],[8106,4409,theory(equality)])).
% cnf(82458,negated_conjecture,($false|~epred2_1(xi)),inference(rw,[status(thm)],[82417,4408,theory(equality)])).
% cnf(82459,negated_conjecture,(~epred2_1(xi)),inference(cn,[status(thm)],[82458,theory(equality)])).
% cnf(82461,negated_conjecture,(~aElementOf0(xi,szNzAzT0)),inference(spm,[status(thm)],[82459,4403,theory(equality)])).
% cnf(82462,negated_conjecture,($false),inference(rw,[status(thm)],[82461,4404,theory(equality)])).
% cnf(82463,negated_conjecture,($false),inference(cn,[status(thm)],[82462,theory(equality)])).
% cnf(82464,negated_conjecture,($false),82463,['proof']).
% # SZS output end CNFRefutation
% # Processed clauses : 6528
% # ...of these trivial : 21
% # ...subsumed : 677
% # ...remaining for further processing: 5830
% # Other redundant clauses eliminated : 13
% # Clauses deleted for lack of memory : 0
% # Backward-subsumed : 11
% # Backward-rewritten : 21
% # Generated clauses : 61322
% # ...of the previous two non-trivial : 49969
% # Contextual simplify-reflections : 2964
% # Paramodulations : 61275
% # Factorizations : 0
% # Equation resolutions : 44
% # Current number of processed clauses: 3057
% # Positive orientable unit clauses: 78
% # Positive unorientable unit clauses: 0
% # Negative unit clauses : 33
% # Non-unit-clauses : 2946
% # Current number of unprocessed clauses: 49205
% # ...number of literals in the above : 754982
% # Clause-clause subsumption calls (NU) : 975713
% # Rec. Clause-clause subsumption calls : 44143
% # Unit Clause-clause subsumption calls : 37796
% # Rewrite failures with RHS unbound : 0
% # Indexed BW rewrite attempts : 16
% # Indexed BW rewrite successes : 12
% # Backwards rewriting index: 557 leaves, 1.72+/-2.022 terms/leaf
% # Paramod-from index: 255 leaves, 1.05+/-0.228 terms/leaf
% # Paramod-into index: 470 leaves, 1.39+/-1.150 terms/leaf
% # -------------------------------------------------
% # User time : 9.230 s
% # System time : 0.189 s
% # Total time : 9.419 s
% # Maximum resident set size: 0 pages
% PrfWatch: 12.57 CPU 12.73 WC
% FINAL PrfWatch: 12.57 CPU 12.73 WC
% SZS output end Solution for /tmp/SystemOnTPTP6112/NUM586+3.tptp
%
%------------------------------------------------------------------------------