TSTP Solution File: NUM629+3 by SRASS---0.1
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- Process Solution
%------------------------------------------------------------------------------
% File : SRASS---0.1
% Problem : NUM629+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 20:42:36 EST 2010
% Result : Theorem 30.36s
% Output : Solution 30.36s
% 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/SystemOnTPTP18386/NUM629+3.tptp
% Adding relevance values
% Extracting the conjecture
% Sorting axioms by relevance
% Looking for THM ...
% found
% SZS status THM for /tmp/SystemOnTPTP18386/NUM629+3.tptp
% SZS output start Solution for /tmp/SystemOnTPTP18386/NUM629+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 18482
% TreeLimitedRun: ----------------------------------------------------------
% PrfWatch: 0.00 CPU 0.02 WC
% PrfWatch: 1.93 CPU 2.02 WC
% PrfWatch: 3.92 CPU 4.03 WC
% PrfWatch: 5.91 CPU 6.03 WC
% PrfWatch: 7.90 CPU 8.04 WC
% PrfWatch: 9.90 CPU 10.04 WC
% PrfWatch: 11.89 CPU 12.05 WC
% PrfWatch: 13.88 CPU 14.05 WC
% PrfWatch: 15.50 CPU 16.05 WC
% PrfWatch: 17.14 CPU 18.06 WC
% PrfWatch: 19.13 CPU 20.06 WC
% PrfWatch: 21.12 CPU 22.07 WC
% # Preprocessing time : 0.619 s
% # Problem is unsatisfiable (or provable), constructing proof object
% # SZS status Theorem
% PrfWatch: 23.11 CPU 24.07 WC
% PrfWatch: 25.10 CPU 26.08 WC
% PrfWatch: 27.10 CPU 28.08 WC
% PrfWatch: 29.09 CPU 30.09 WC
% # SZS output start CNFRefutation.
% fof(1, axiom,![X1]:(aSet0(X1)=>![X2]:(aElementOf0(X2,X1)=>aElement0(X2))),file('/tmp/SRASS.s.p', mEOfElem)).
% fof(6, axiom,![X1]:(aSet0(X1)=>![X2]:(aSubsetOf0(X2,X1)<=>(aSet0(X2)&![X3]:(aElementOf0(X3,X2)=>aElementOf0(X3,X1))))),file('/tmp/SRASS.s.p', mDefSub)).
% fof(10, 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(30, axiom,![X1]:![X2]:((aElementOf0(X1,szNzAzT0)&aElementOf0(X2,szNzAzT0))=>((sdtlseqdt0(X1,X2)&sdtlseqdt0(X2,X1))=>X1=X2)),file('/tmp/SRASS.s.p', mLessASymm)).
% fof(65, 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(66, 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(68, axiom,![X1]:![X2]:(((aElementOf0(X1,szNzAzT0)&aElementOf0(X2,szNzAzT0))&~(X1=X2))=>~(((aElementOf0(szmzizndt0(sdtlpdtrp0(xN,X1)),sdtlpdtrp0(xN,X1))&![X3]:(aElementOf0(X3,sdtlpdtrp0(xN,X1))=>sdtlseqdt0(szmzizndt0(sdtlpdtrp0(xN,X1)),X3)))=>((aElementOf0(szmzizndt0(sdtlpdtrp0(xN,X1)),sdtlpdtrp0(xN,X2))&![X3]:(aElementOf0(X3,sdtlpdtrp0(xN,X2))=>sdtlseqdt0(szmzizndt0(sdtlpdtrp0(xN,X1)),X3)))|szmzizndt0(sdtlpdtrp0(xN,X1))=szmzizndt0(sdtlpdtrp0(xN,X2)))))),file('/tmp/SRASS.s.p', m__3821)).
% fof(75, axiom,((aFunction0(xe)&szDzozmdt0(xe)=szNzAzT0)&![X1]:(aElementOf0(X1,szNzAzT0)=>((aElementOf0(sdtlpdtrp0(xe,X1),sdtlpdtrp0(xN,X1))&![X2]:(aElementOf0(X2,sdtlpdtrp0(xN,X1))=>sdtlseqdt0(sdtlpdtrp0(xe,X1),X2)))&sdtlpdtrp0(xe,X1)=szmzizndt0(sdtlpdtrp0(xN,X1))))),file('/tmp/SRASS.s.p', m__4660)).
% fof(76, axiom,((aFunction0(xd)&szDzozmdt0(xd)=szNzAzT0)&![X1]:(aElementOf0(X1,szNzAzT0)=>![X2]:((aSet0(X2)&(((![X3]:(aElementOf0(X3,X2)=>aElementOf0(X3,sdtlpdtrp0(xN,szszuzczcdt0(X1))))|aSubsetOf0(X2,sdtlpdtrp0(xN,szszuzczcdt0(X1))))&sbrdtbr0(X2)=xk)|aElementOf0(X2,slbdtsldtrb0(sdtlpdtrp0(xN,szszuzczcdt0(X1)),xk))))=>sdtlpdtrp0(xd,X1)=sdtlpdtrp0(sdtlpdtrp0(xC,X1),X2)))),file('/tmp/SRASS.s.p', m__4730)).
% fof(78, axiom,((aElementOf0(szDzizrdt0(xd),xT)&aSet0(sdtlbdtrb0(xd,szDzizrdt0(xd))))&![X1]:(aElementOf0(X1,sdtlbdtrb0(xd,szDzizrdt0(xd)))<=>(aElementOf0(X1,szDzozmdt0(xd))&sdtlpdtrp0(xd,X1)=szDzizrdt0(xd)))),file('/tmp/SRASS.s.p', m__4854)).
% fof(83, axiom,((((aSet0(xQ)&![X1]:(aElementOf0(X1,xQ)=>aElementOf0(X1,xO)))&aSubsetOf0(xQ,xO))&sbrdtbr0(xQ)=xK)&aElementOf0(xQ,slbdtsldtrb0(xO,xK))),file('/tmp/SRASS.s.p', m__5078)).
% fof(87, axiom,((aElementOf0(xp,xQ)&![X1]:(aElementOf0(X1,xQ)=>sdtlseqdt0(xp,X1)))&xp=szmzizndt0(xQ)),file('/tmp/SRASS.s.p', m__5147)).
% fof(88, axiom,(((aSet0(xP)&![X1]:(aElementOf0(X1,xQ)=>sdtlseqdt0(szmzizndt0(xQ),X1)))&![X1]:(aElementOf0(X1,xP)<=>((aElement0(X1)&aElementOf0(X1,xQ))&~(X1=szmzizndt0(xQ)))))&xP=sdtmndt0(xQ,szmzizndt0(xQ))),file('/tmp/SRASS.s.p', m__5164)).
% fof(90, axiom,?[X1]:(aElementOf0(X1,sdtlbdtrb0(xd,szDzizrdt0(xd)))&sdtlpdtrp0(xe,X1)=xp),file('/tmp/SRASS.s.p', m__5182)).
% fof(95, axiom,((((aElementOf0(xn,szDzozmdt0(xd))&sdtlpdtrp0(xd,xn)=szDzizrdt0(xd))&aElementOf0(xn,sdtlbdtrb0(xd,szDzizrdt0(xd))))&aElementOf0(xn,szNzAzT0))&sdtlpdtrp0(xe,xn)=xp),file('/tmp/SRASS.s.p', m__5309)).
% fof(97, axiom,(![X1]:(aElementOf0(X1,xP)=>aElementOf0(X1,sdtlpdtrp0(xN,szszuzczcdt0(xn))))&aSubsetOf0(xP,sdtlpdtrp0(xN,szszuzczcdt0(xn)))),file('/tmp/SRASS.s.p', m__5334)).
% fof(98, axiom,(((![X1]:(aElementOf0(X1,sdtlpdtrp0(xN,xn))=>sdtlseqdt0(szmzizndt0(sdtlpdtrp0(xN,xn)),X1))&aSet0(xD))&![X1]:(aElementOf0(X1,xD)<=>((aElement0(X1)&aElementOf0(X1,sdtlpdtrp0(xN,xn)))&~(X1=szmzizndt0(sdtlpdtrp0(xN,xn))))))&xD=sdtmndt0(sdtlpdtrp0(xN,xn),szmzizndt0(sdtlpdtrp0(xN,xn)))),file('/tmp/SRASS.s.p', m__5585)).
% fof(115, conjecture,((![X1]:(aElementOf0(X1,xP)=>aElementOf0(X1,xD))|aSubsetOf0(xP,xD))|aElementOf0(xP,slbdtsldtrb0(xD,xk))),file('/tmp/SRASS.s.p', m__)).
% fof(116, negated_conjecture,~(((![X1]:(aElementOf0(X1,xP)=>aElementOf0(X1,xD))|aSubsetOf0(xP,xD))|aElementOf0(xP,slbdtsldtrb0(xD,xk)))),inference(assume_negation,[status(cth)],[115])).
% fof(137, plain,![X1]:(~(aSet0(X1))|![X2]:(~(aElementOf0(X2,X1))|aElement0(X2))),inference(fof_nnf,[status(thm)],[1])).
% fof(138, plain,![X3]:(~(aSet0(X3))|![X4]:(~(aElementOf0(X4,X3))|aElement0(X4))),inference(variable_rename,[status(thm)],[137])).
% fof(139, plain,![X3]:![X4]:((~(aElementOf0(X4,X3))|aElement0(X4))|~(aSet0(X3))),inference(shift_quantors,[status(thm)],[138])).
% cnf(140,plain,(aElement0(X2)|~aSet0(X1)|~aElementOf0(X2,X1)),inference(split_conjunct,[status(thm)],[139])).
% fof(156, 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)],[6])).
% fof(157, 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)],[156])).
% fof(158, plain,![X4]:(~(aSet0(X4))|![X5]:((~(aSubsetOf0(X5,X4))|(aSet0(X5)&![X6]:(~(aElementOf0(X6,X5))|aElementOf0(X6,X4))))&((~(aSet0(X5))|(aElementOf0(esk2_2(X4,X5),X5)&~(aElementOf0(esk2_2(X4,X5),X4))))|aSubsetOf0(X5,X4)))),inference(skolemize,[status(esa)],[157])).
% fof(159, plain,![X4]:![X5]:![X6]:(((((~(aElementOf0(X6,X5))|aElementOf0(X6,X4))&aSet0(X5))|~(aSubsetOf0(X5,X4)))&((~(aSet0(X5))|(aElementOf0(esk2_2(X4,X5),X5)&~(aElementOf0(esk2_2(X4,X5),X4))))|aSubsetOf0(X5,X4)))|~(aSet0(X4))),inference(shift_quantors,[status(thm)],[158])).
% fof(160, plain,![X4]:![X5]:![X6]:(((((~(aElementOf0(X6,X5))|aElementOf0(X6,X4))|~(aSubsetOf0(X5,X4)))|~(aSet0(X4)))&((aSet0(X5)|~(aSubsetOf0(X5,X4)))|~(aSet0(X4))))&((((aElementOf0(esk2_2(X4,X5),X5)|~(aSet0(X5)))|aSubsetOf0(X5,X4))|~(aSet0(X4)))&(((~(aElementOf0(esk2_2(X4,X5),X4))|~(aSet0(X5)))|aSubsetOf0(X5,X4))|~(aSet0(X4))))),inference(distribute,[status(thm)],[159])).
% cnf(163,plain,(aSet0(X2)|~aSet0(X1)|~aSubsetOf0(X2,X1)),inference(split_conjunct,[status(thm)],[160])).
% fof(175, plain,![X1]:![X2]:![X3]:(((~(aSet0(X1))|~(aSet0(X2)))|~(aSet0(X3)))|((~(aSubsetOf0(X1,X2))|~(aSubsetOf0(X2,X3)))|aSubsetOf0(X1,X3))),inference(fof_nnf,[status(thm)],[10])).
% fof(176, plain,![X4]:![X5]:![X6]:(((~(aSet0(X4))|~(aSet0(X5)))|~(aSet0(X6)))|((~(aSubsetOf0(X4,X5))|~(aSubsetOf0(X5,X6)))|aSubsetOf0(X4,X6))),inference(variable_rename,[status(thm)],[175])).
% cnf(177,plain,(aSubsetOf0(X1,X2)|~aSubsetOf0(X3,X2)|~aSubsetOf0(X1,X3)|~aSet0(X2)|~aSet0(X3)|~aSet0(X1)),inference(split_conjunct,[status(thm)],[176])).
% fof(266, plain,![X1]:![X2]:((~(aElementOf0(X1,szNzAzT0))|~(aElementOf0(X2,szNzAzT0)))|((~(sdtlseqdt0(X1,X2))|~(sdtlseqdt0(X2,X1)))|X1=X2)),inference(fof_nnf,[status(thm)],[30])).
% fof(267, plain,![X3]:![X4]:((~(aElementOf0(X3,szNzAzT0))|~(aElementOf0(X4,szNzAzT0)))|((~(sdtlseqdt0(X3,X4))|~(sdtlseqdt0(X4,X3)))|X3=X4)),inference(variable_rename,[status(thm)],[266])).
% cnf(268,plain,(X1=X2|~sdtlseqdt0(X2,X1)|~sdtlseqdt0(X1,X2)|~aElementOf0(X2,szNzAzT0)|~aElementOf0(X1,szNzAzT0)),inference(split_conjunct,[status(thm)],[267])).
% fof(4417, 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)],[65])).
% fof(4418, 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)],[4417])).
% fof(4419, plain,(((aFunction0(xN)&szDzozmdt0(xN)=szNzAzT0)&sdtlpdtrp0(xN,sz00)=xS)&![X3]:(~(aElementOf0(X3,szNzAzT0))|((((~(aSet0(sdtlpdtrp0(xN,X3)))|(aElementOf0(esk26_1(X3),sdtlpdtrp0(xN,X3))&~(aElementOf0(esk26_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)],[4418])).
% fof(4420, 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(esk26_1(X3),sdtlpdtrp0(xN,X3))&~(aElementOf0(esk26_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)],[4419])).
% fof(4421, plain,![X3]:![X5]:![X6]:![X7]:((((((((((aElementOf0(esk26_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(esk26_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(esk26_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(esk26_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(esk26_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(esk26_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(esk26_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(esk26_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(esk26_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(esk26_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(esk26_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(esk26_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(esk26_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(esk26_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(esk26_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(esk26_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(esk26_1(X3),sdtlpdtrp0(xN,X3))|~(aSet0(sdtlpdtrp0(xN,X3))))|~(isCountable0(sdtlpdtrp0(xN,X3))))|aSet0(sdtlpdtrp0(xN,szszuzczcdt0(X3))))|~(aElementOf0(X3,szNzAzT0)))&((((~(aElementOf0(esk26_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(esk26_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(esk26_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(esk26_1(X3),sdtlpdtrp0(xN,X3))|~(aSet0(sdtlpdtrp0(xN,X3))))|~(isCountable0(sdtlpdtrp0(xN,X3))))|isCountable0(sdtlpdtrp0(xN,szszuzczcdt0(X3))))|~(aElementOf0(X3,szNzAzT0)))&((((~(aElementOf0(esk26_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)],[4420])).
% cnf(4428,plain,(aSubsetOf0(sdtlpdtrp0(xN,szszuzczcdt0(X1)),sdtmndt0(sdtlpdtrp0(xN,X1),szmzizndt0(sdtlpdtrp0(xN,X1))))|~aElementOf0(X1,szNzAzT0)|~isCountable0(sdtlpdtrp0(xN,X1))|~aSubsetOf0(sdtlpdtrp0(xN,X1),szNzAzT0)),inference(split_conjunct,[status(thm)],[4421])).
% cnf(4434,plain,(aSet0(sdtmndt0(sdtlpdtrp0(xN,X1),szmzizndt0(sdtlpdtrp0(xN,X1))))|~aElementOf0(X1,szNzAzT0)|~isCountable0(sdtlpdtrp0(xN,X1))|~aSubsetOf0(sdtlpdtrp0(xN,X1),szNzAzT0)),inference(split_conjunct,[status(thm)],[4421])).
% cnf(4437,plain,(aElementOf0(szmzizndt0(sdtlpdtrp0(xN,X1)),sdtlpdtrp0(xN,X1))|~aElementOf0(X1,szNzAzT0)|~isCountable0(sdtlpdtrp0(xN,X1))|~aSubsetOf0(sdtlpdtrp0(xN,X1),szNzAzT0)),inference(split_conjunct,[status(thm)],[4421])).
% cnf(4440,plain,(sdtlseqdt0(szmzizndt0(sdtlpdtrp0(xN,X1)),X2)|~aElementOf0(X1,szNzAzT0)|~aElementOf0(X2,sdtlpdtrp0(xN,X1))|~isCountable0(sdtlpdtrp0(xN,X1))|~aSubsetOf0(sdtlpdtrp0(xN,X1),szNzAzT0)),inference(split_conjunct,[status(thm)],[4421])).
% fof(4458, 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)],[66])).
% fof(4459, 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)],[4458])).
% fof(4460, 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)],[4459])).
% fof(4461, 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)],[4460])).
% cnf(4462,plain,(isCountable0(sdtlpdtrp0(xN,X1))|~aElementOf0(X1,szNzAzT0)),inference(split_conjunct,[status(thm)],[4461])).
% cnf(4463,plain,(aSubsetOf0(sdtlpdtrp0(xN,X1),szNzAzT0)|~aElementOf0(X1,szNzAzT0)),inference(split_conjunct,[status(thm)],[4461])).
% cnf(4465,plain,(aElementOf0(X2,szNzAzT0)|~aElementOf0(X1,szNzAzT0)|~aElementOf0(X2,sdtlpdtrp0(xN,X1))),inference(split_conjunct,[status(thm)],[4461])).
% fof(4472, plain,![X1]:![X2]:(((~(aElementOf0(X1,szNzAzT0))|~(aElementOf0(X2,szNzAzT0)))|X1=X2)|((aElementOf0(szmzizndt0(sdtlpdtrp0(xN,X1)),sdtlpdtrp0(xN,X1))&![X3]:(~(aElementOf0(X3,sdtlpdtrp0(xN,X1)))|sdtlseqdt0(szmzizndt0(sdtlpdtrp0(xN,X1)),X3)))&((~(aElementOf0(szmzizndt0(sdtlpdtrp0(xN,X1)),sdtlpdtrp0(xN,X2)))|?[X3]:(aElementOf0(X3,sdtlpdtrp0(xN,X2))&~(sdtlseqdt0(szmzizndt0(sdtlpdtrp0(xN,X1)),X3))))&~(szmzizndt0(sdtlpdtrp0(xN,X1))=szmzizndt0(sdtlpdtrp0(xN,X2)))))),inference(fof_nnf,[status(thm)],[68])).
% fof(4473, plain,![X4]:![X5]:(((~(aElementOf0(X4,szNzAzT0))|~(aElementOf0(X5,szNzAzT0)))|X4=X5)|((aElementOf0(szmzizndt0(sdtlpdtrp0(xN,X4)),sdtlpdtrp0(xN,X4))&![X6]:(~(aElementOf0(X6,sdtlpdtrp0(xN,X4)))|sdtlseqdt0(szmzizndt0(sdtlpdtrp0(xN,X4)),X6)))&((~(aElementOf0(szmzizndt0(sdtlpdtrp0(xN,X4)),sdtlpdtrp0(xN,X5)))|?[X7]:(aElementOf0(X7,sdtlpdtrp0(xN,X5))&~(sdtlseqdt0(szmzizndt0(sdtlpdtrp0(xN,X4)),X7))))&~(szmzizndt0(sdtlpdtrp0(xN,X4))=szmzizndt0(sdtlpdtrp0(xN,X5)))))),inference(variable_rename,[status(thm)],[4472])).
% fof(4474, plain,![X4]:![X5]:(((~(aElementOf0(X4,szNzAzT0))|~(aElementOf0(X5,szNzAzT0)))|X4=X5)|((aElementOf0(szmzizndt0(sdtlpdtrp0(xN,X4)),sdtlpdtrp0(xN,X4))&![X6]:(~(aElementOf0(X6,sdtlpdtrp0(xN,X4)))|sdtlseqdt0(szmzizndt0(sdtlpdtrp0(xN,X4)),X6)))&((~(aElementOf0(szmzizndt0(sdtlpdtrp0(xN,X4)),sdtlpdtrp0(xN,X5)))|(aElementOf0(esk27_2(X4,X5),sdtlpdtrp0(xN,X5))&~(sdtlseqdt0(szmzizndt0(sdtlpdtrp0(xN,X4)),esk27_2(X4,X5)))))&~(szmzizndt0(sdtlpdtrp0(xN,X4))=szmzizndt0(sdtlpdtrp0(xN,X5)))))),inference(skolemize,[status(esa)],[4473])).
% fof(4475, plain,![X4]:![X5]:![X6]:((((~(aElementOf0(X6,sdtlpdtrp0(xN,X4)))|sdtlseqdt0(szmzizndt0(sdtlpdtrp0(xN,X4)),X6))&aElementOf0(szmzizndt0(sdtlpdtrp0(xN,X4)),sdtlpdtrp0(xN,X4)))&((~(aElementOf0(szmzizndt0(sdtlpdtrp0(xN,X4)),sdtlpdtrp0(xN,X5)))|(aElementOf0(esk27_2(X4,X5),sdtlpdtrp0(xN,X5))&~(sdtlseqdt0(szmzizndt0(sdtlpdtrp0(xN,X4)),esk27_2(X4,X5)))))&~(szmzizndt0(sdtlpdtrp0(xN,X4))=szmzizndt0(sdtlpdtrp0(xN,X5)))))|((~(aElementOf0(X4,szNzAzT0))|~(aElementOf0(X5,szNzAzT0)))|X4=X5)),inference(shift_quantors,[status(thm)],[4474])).
% fof(4476, plain,![X4]:![X5]:![X6]:((((~(aElementOf0(X6,sdtlpdtrp0(xN,X4)))|sdtlseqdt0(szmzizndt0(sdtlpdtrp0(xN,X4)),X6))|((~(aElementOf0(X4,szNzAzT0))|~(aElementOf0(X5,szNzAzT0)))|X4=X5))&(aElementOf0(szmzizndt0(sdtlpdtrp0(xN,X4)),sdtlpdtrp0(xN,X4))|((~(aElementOf0(X4,szNzAzT0))|~(aElementOf0(X5,szNzAzT0)))|X4=X5)))&((((aElementOf0(esk27_2(X4,X5),sdtlpdtrp0(xN,X5))|~(aElementOf0(szmzizndt0(sdtlpdtrp0(xN,X4)),sdtlpdtrp0(xN,X5))))|((~(aElementOf0(X4,szNzAzT0))|~(aElementOf0(X5,szNzAzT0)))|X4=X5))&((~(sdtlseqdt0(szmzizndt0(sdtlpdtrp0(xN,X4)),esk27_2(X4,X5)))|~(aElementOf0(szmzizndt0(sdtlpdtrp0(xN,X4)),sdtlpdtrp0(xN,X5))))|((~(aElementOf0(X4,szNzAzT0))|~(aElementOf0(X5,szNzAzT0)))|X4=X5)))&(~(szmzizndt0(sdtlpdtrp0(xN,X4))=szmzizndt0(sdtlpdtrp0(xN,X5)))|((~(aElementOf0(X4,szNzAzT0))|~(aElementOf0(X5,szNzAzT0)))|X4=X5)))),inference(distribute,[status(thm)],[4475])).
% cnf(4477,plain,(X1=X2|~aElementOf0(X2,szNzAzT0)|~aElementOf0(X1,szNzAzT0)|szmzizndt0(sdtlpdtrp0(xN,X1))!=szmzizndt0(sdtlpdtrp0(xN,X2))),inference(split_conjunct,[status(thm)],[4476])).
% fof(4518, plain,((aFunction0(xe)&szDzozmdt0(xe)=szNzAzT0)&![X1]:(~(aElementOf0(X1,szNzAzT0))|((aElementOf0(sdtlpdtrp0(xe,X1),sdtlpdtrp0(xN,X1))&![X2]:(~(aElementOf0(X2,sdtlpdtrp0(xN,X1)))|sdtlseqdt0(sdtlpdtrp0(xe,X1),X2)))&sdtlpdtrp0(xe,X1)=szmzizndt0(sdtlpdtrp0(xN,X1))))),inference(fof_nnf,[status(thm)],[75])).
% fof(4519, plain,((aFunction0(xe)&szDzozmdt0(xe)=szNzAzT0)&![X3]:(~(aElementOf0(X3,szNzAzT0))|((aElementOf0(sdtlpdtrp0(xe,X3),sdtlpdtrp0(xN,X3))&![X4]:(~(aElementOf0(X4,sdtlpdtrp0(xN,X3)))|sdtlseqdt0(sdtlpdtrp0(xe,X3),X4)))&sdtlpdtrp0(xe,X3)=szmzizndt0(sdtlpdtrp0(xN,X3))))),inference(variable_rename,[status(thm)],[4518])).
% fof(4520, plain,![X3]:![X4]:(((((~(aElementOf0(X4,sdtlpdtrp0(xN,X3)))|sdtlseqdt0(sdtlpdtrp0(xe,X3),X4))&aElementOf0(sdtlpdtrp0(xe,X3),sdtlpdtrp0(xN,X3)))&sdtlpdtrp0(xe,X3)=szmzizndt0(sdtlpdtrp0(xN,X3)))|~(aElementOf0(X3,szNzAzT0)))&(aFunction0(xe)&szDzozmdt0(xe)=szNzAzT0)),inference(shift_quantors,[status(thm)],[4519])).
% fof(4521, plain,![X3]:![X4]:(((((~(aElementOf0(X4,sdtlpdtrp0(xN,X3)))|sdtlseqdt0(sdtlpdtrp0(xe,X3),X4))|~(aElementOf0(X3,szNzAzT0)))&(aElementOf0(sdtlpdtrp0(xe,X3),sdtlpdtrp0(xN,X3))|~(aElementOf0(X3,szNzAzT0))))&(sdtlpdtrp0(xe,X3)=szmzizndt0(sdtlpdtrp0(xN,X3))|~(aElementOf0(X3,szNzAzT0))))&(aFunction0(xe)&szDzozmdt0(xe)=szNzAzT0)),inference(distribute,[status(thm)],[4520])).
% cnf(4524,plain,(sdtlpdtrp0(xe,X1)=szmzizndt0(sdtlpdtrp0(xN,X1))|~aElementOf0(X1,szNzAzT0)),inference(split_conjunct,[status(thm)],[4521])).
% cnf(4525,plain,(aElementOf0(sdtlpdtrp0(xe,X1),sdtlpdtrp0(xN,X1))|~aElementOf0(X1,szNzAzT0)),inference(split_conjunct,[status(thm)],[4521])).
% cnf(4526,plain,(sdtlseqdt0(sdtlpdtrp0(xe,X1),X2)|~aElementOf0(X1,szNzAzT0)|~aElementOf0(X2,sdtlpdtrp0(xN,X1))),inference(split_conjunct,[status(thm)],[4521])).
% fof(4527, plain,((aFunction0(xd)&szDzozmdt0(xd)=szNzAzT0)&![X1]:(~(aElementOf0(X1,szNzAzT0))|![X2]:((~(aSet0(X2))|(((?[X3]:(aElementOf0(X3,X2)&~(aElementOf0(X3,sdtlpdtrp0(xN,szszuzczcdt0(X1)))))&~(aSubsetOf0(X2,sdtlpdtrp0(xN,szszuzczcdt0(X1)))))|~(sbrdtbr0(X2)=xk))&~(aElementOf0(X2,slbdtsldtrb0(sdtlpdtrp0(xN,szszuzczcdt0(X1)),xk)))))|sdtlpdtrp0(xd,X1)=sdtlpdtrp0(sdtlpdtrp0(xC,X1),X2)))),inference(fof_nnf,[status(thm)],[76])).
% fof(4528, plain,((aFunction0(xd)&szDzozmdt0(xd)=szNzAzT0)&![X4]:(~(aElementOf0(X4,szNzAzT0))|![X5]:((~(aSet0(X5))|(((?[X6]:(aElementOf0(X6,X5)&~(aElementOf0(X6,sdtlpdtrp0(xN,szszuzczcdt0(X4)))))&~(aSubsetOf0(X5,sdtlpdtrp0(xN,szszuzczcdt0(X4)))))|~(sbrdtbr0(X5)=xk))&~(aElementOf0(X5,slbdtsldtrb0(sdtlpdtrp0(xN,szszuzczcdt0(X4)),xk)))))|sdtlpdtrp0(xd,X4)=sdtlpdtrp0(sdtlpdtrp0(xC,X4),X5)))),inference(variable_rename,[status(thm)],[4527])).
% fof(4529, plain,((aFunction0(xd)&szDzozmdt0(xd)=szNzAzT0)&![X4]:(~(aElementOf0(X4,szNzAzT0))|![X5]:((~(aSet0(X5))|((((aElementOf0(esk31_2(X4,X5),X5)&~(aElementOf0(esk31_2(X4,X5),sdtlpdtrp0(xN,szszuzczcdt0(X4)))))&~(aSubsetOf0(X5,sdtlpdtrp0(xN,szszuzczcdt0(X4)))))|~(sbrdtbr0(X5)=xk))&~(aElementOf0(X5,slbdtsldtrb0(sdtlpdtrp0(xN,szszuzczcdt0(X4)),xk)))))|sdtlpdtrp0(xd,X4)=sdtlpdtrp0(sdtlpdtrp0(xC,X4),X5)))),inference(skolemize,[status(esa)],[4528])).
% fof(4530, plain,![X4]:![X5]:((((~(aSet0(X5))|((((aElementOf0(esk31_2(X4,X5),X5)&~(aElementOf0(esk31_2(X4,X5),sdtlpdtrp0(xN,szszuzczcdt0(X4)))))&~(aSubsetOf0(X5,sdtlpdtrp0(xN,szszuzczcdt0(X4)))))|~(sbrdtbr0(X5)=xk))&~(aElementOf0(X5,slbdtsldtrb0(sdtlpdtrp0(xN,szszuzczcdt0(X4)),xk)))))|sdtlpdtrp0(xd,X4)=sdtlpdtrp0(sdtlpdtrp0(xC,X4),X5))|~(aElementOf0(X4,szNzAzT0)))&(aFunction0(xd)&szDzozmdt0(xd)=szNzAzT0)),inference(shift_quantors,[status(thm)],[4529])).
% fof(4531, plain,![X4]:![X5]:((((((((aElementOf0(esk31_2(X4,X5),X5)|~(sbrdtbr0(X5)=xk))|~(aSet0(X5)))|sdtlpdtrp0(xd,X4)=sdtlpdtrp0(sdtlpdtrp0(xC,X4),X5))|~(aElementOf0(X4,szNzAzT0)))&((((~(aElementOf0(esk31_2(X4,X5),sdtlpdtrp0(xN,szszuzczcdt0(X4))))|~(sbrdtbr0(X5)=xk))|~(aSet0(X5)))|sdtlpdtrp0(xd,X4)=sdtlpdtrp0(sdtlpdtrp0(xC,X4),X5))|~(aElementOf0(X4,szNzAzT0))))&((((~(aSubsetOf0(X5,sdtlpdtrp0(xN,szszuzczcdt0(X4))))|~(sbrdtbr0(X5)=xk))|~(aSet0(X5)))|sdtlpdtrp0(xd,X4)=sdtlpdtrp0(sdtlpdtrp0(xC,X4),X5))|~(aElementOf0(X4,szNzAzT0))))&(((~(aElementOf0(X5,slbdtsldtrb0(sdtlpdtrp0(xN,szszuzczcdt0(X4)),xk)))|~(aSet0(X5)))|sdtlpdtrp0(xd,X4)=sdtlpdtrp0(sdtlpdtrp0(xC,X4),X5))|~(aElementOf0(X4,szNzAzT0))))&(aFunction0(xd)&szDzozmdt0(xd)=szNzAzT0)),inference(distribute,[status(thm)],[4530])).
% cnf(4532,plain,(szDzozmdt0(xd)=szNzAzT0),inference(split_conjunct,[status(thm)],[4531])).
% fof(4549, plain,((aElementOf0(szDzizrdt0(xd),xT)&aSet0(sdtlbdtrb0(xd,szDzizrdt0(xd))))&![X1]:((~(aElementOf0(X1,sdtlbdtrb0(xd,szDzizrdt0(xd))))|(aElementOf0(X1,szDzozmdt0(xd))&sdtlpdtrp0(xd,X1)=szDzizrdt0(xd)))&((~(aElementOf0(X1,szDzozmdt0(xd)))|~(sdtlpdtrp0(xd,X1)=szDzizrdt0(xd)))|aElementOf0(X1,sdtlbdtrb0(xd,szDzizrdt0(xd)))))),inference(fof_nnf,[status(thm)],[78])).
% fof(4550, plain,((aElementOf0(szDzizrdt0(xd),xT)&aSet0(sdtlbdtrb0(xd,szDzizrdt0(xd))))&![X2]:((~(aElementOf0(X2,sdtlbdtrb0(xd,szDzizrdt0(xd))))|(aElementOf0(X2,szDzozmdt0(xd))&sdtlpdtrp0(xd,X2)=szDzizrdt0(xd)))&((~(aElementOf0(X2,szDzozmdt0(xd)))|~(sdtlpdtrp0(xd,X2)=szDzizrdt0(xd)))|aElementOf0(X2,sdtlbdtrb0(xd,szDzizrdt0(xd)))))),inference(variable_rename,[status(thm)],[4549])).
% fof(4551, plain,![X2]:(((~(aElementOf0(X2,sdtlbdtrb0(xd,szDzizrdt0(xd))))|(aElementOf0(X2,szDzozmdt0(xd))&sdtlpdtrp0(xd,X2)=szDzizrdt0(xd)))&((~(aElementOf0(X2,szDzozmdt0(xd)))|~(sdtlpdtrp0(xd,X2)=szDzizrdt0(xd)))|aElementOf0(X2,sdtlbdtrb0(xd,szDzizrdt0(xd)))))&(aElementOf0(szDzizrdt0(xd),xT)&aSet0(sdtlbdtrb0(xd,szDzizrdt0(xd))))),inference(shift_quantors,[status(thm)],[4550])).
% fof(4552, plain,![X2]:((((aElementOf0(X2,szDzozmdt0(xd))|~(aElementOf0(X2,sdtlbdtrb0(xd,szDzizrdt0(xd)))))&(sdtlpdtrp0(xd,X2)=szDzizrdt0(xd)|~(aElementOf0(X2,sdtlbdtrb0(xd,szDzizrdt0(xd))))))&((~(aElementOf0(X2,szDzozmdt0(xd)))|~(sdtlpdtrp0(xd,X2)=szDzizrdt0(xd)))|aElementOf0(X2,sdtlbdtrb0(xd,szDzizrdt0(xd)))))&(aElementOf0(szDzizrdt0(xd),xT)&aSet0(sdtlbdtrb0(xd,szDzizrdt0(xd))))),inference(distribute,[status(thm)],[4551])).
% cnf(4557,plain,(aElementOf0(X1,szDzozmdt0(xd))|~aElementOf0(X1,sdtlbdtrb0(xd,szDzizrdt0(xd)))),inference(split_conjunct,[status(thm)],[4552])).
% fof(4592, plain,((((aSet0(xQ)&![X1]:(~(aElementOf0(X1,xQ))|aElementOf0(X1,xO)))&aSubsetOf0(xQ,xO))&sbrdtbr0(xQ)=xK)&aElementOf0(xQ,slbdtsldtrb0(xO,xK))),inference(fof_nnf,[status(thm)],[83])).
% fof(4593, plain,((((aSet0(xQ)&![X2]:(~(aElementOf0(X2,xQ))|aElementOf0(X2,xO)))&aSubsetOf0(xQ,xO))&sbrdtbr0(xQ)=xK)&aElementOf0(xQ,slbdtsldtrb0(xO,xK))),inference(variable_rename,[status(thm)],[4592])).
% fof(4594, plain,![X2]:(((((~(aElementOf0(X2,xQ))|aElementOf0(X2,xO))&aSet0(xQ))&aSubsetOf0(xQ,xO))&sbrdtbr0(xQ)=xK)&aElementOf0(xQ,slbdtsldtrb0(xO,xK))),inference(shift_quantors,[status(thm)],[4593])).
% cnf(4598,plain,(aSet0(xQ)),inference(split_conjunct,[status(thm)],[4594])).
% fof(4620, plain,((aElementOf0(xp,xQ)&![X1]:(~(aElementOf0(X1,xQ))|sdtlseqdt0(xp,X1)))&xp=szmzizndt0(xQ)),inference(fof_nnf,[status(thm)],[87])).
% fof(4621, plain,((aElementOf0(xp,xQ)&![X2]:(~(aElementOf0(X2,xQ))|sdtlseqdt0(xp,X2)))&xp=szmzizndt0(xQ)),inference(variable_rename,[status(thm)],[4620])).
% fof(4622, plain,![X2]:(((~(aElementOf0(X2,xQ))|sdtlseqdt0(xp,X2))&aElementOf0(xp,xQ))&xp=szmzizndt0(xQ)),inference(shift_quantors,[status(thm)],[4621])).
% cnf(4623,plain,(xp=szmzizndt0(xQ)),inference(split_conjunct,[status(thm)],[4622])).
% cnf(4624,plain,(aElementOf0(xp,xQ)),inference(split_conjunct,[status(thm)],[4622])).
% fof(4626, plain,(((aSet0(xP)&![X1]:(~(aElementOf0(X1,xQ))|sdtlseqdt0(szmzizndt0(xQ),X1)))&![X1]:((~(aElementOf0(X1,xP))|((aElement0(X1)&aElementOf0(X1,xQ))&~(X1=szmzizndt0(xQ))))&(((~(aElement0(X1))|~(aElementOf0(X1,xQ)))|X1=szmzizndt0(xQ))|aElementOf0(X1,xP))))&xP=sdtmndt0(xQ,szmzizndt0(xQ))),inference(fof_nnf,[status(thm)],[88])).
% fof(4627, plain,(((aSet0(xP)&![X2]:(~(aElementOf0(X2,xQ))|sdtlseqdt0(szmzizndt0(xQ),X2)))&![X3]:((~(aElementOf0(X3,xP))|((aElement0(X3)&aElementOf0(X3,xQ))&~(X3=szmzizndt0(xQ))))&(((~(aElement0(X3))|~(aElementOf0(X3,xQ)))|X3=szmzizndt0(xQ))|aElementOf0(X3,xP))))&xP=sdtmndt0(xQ,szmzizndt0(xQ))),inference(variable_rename,[status(thm)],[4626])).
% fof(4628, plain,![X2]:![X3]:((((~(aElementOf0(X3,xP))|((aElement0(X3)&aElementOf0(X3,xQ))&~(X3=szmzizndt0(xQ))))&(((~(aElement0(X3))|~(aElementOf0(X3,xQ)))|X3=szmzizndt0(xQ))|aElementOf0(X3,xP)))&((~(aElementOf0(X2,xQ))|sdtlseqdt0(szmzizndt0(xQ),X2))&aSet0(xP)))&xP=sdtmndt0(xQ,szmzizndt0(xQ))),inference(shift_quantors,[status(thm)],[4627])).
% fof(4629, plain,![X2]:![X3]:((((((aElement0(X3)|~(aElementOf0(X3,xP)))&(aElementOf0(X3,xQ)|~(aElementOf0(X3,xP))))&(~(X3=szmzizndt0(xQ))|~(aElementOf0(X3,xP))))&(((~(aElement0(X3))|~(aElementOf0(X3,xQ)))|X3=szmzizndt0(xQ))|aElementOf0(X3,xP)))&((~(aElementOf0(X2,xQ))|sdtlseqdt0(szmzizndt0(xQ),X2))&aSet0(xP)))&xP=sdtmndt0(xQ,szmzizndt0(xQ))),inference(distribute,[status(thm)],[4628])).
% cnf(4633,plain,(aElementOf0(X1,xP)|X1=szmzizndt0(xQ)|~aElementOf0(X1,xQ)|~aElement0(X1)),inference(split_conjunct,[status(thm)],[4629])).
% cnf(4634,plain,(~aElementOf0(X1,xP)|X1!=szmzizndt0(xQ)),inference(split_conjunct,[status(thm)],[4629])).
% fof(4638, plain,?[X2]:(aElementOf0(X2,sdtlbdtrb0(xd,szDzizrdt0(xd)))&sdtlpdtrp0(xe,X2)=xp),inference(variable_rename,[status(thm)],[90])).
% fof(4639, plain,(aElementOf0(esk36_0,sdtlbdtrb0(xd,szDzizrdt0(xd)))&sdtlpdtrp0(xe,esk36_0)=xp),inference(skolemize,[status(esa)],[4638])).
% cnf(4640,plain,(sdtlpdtrp0(xe,esk36_0)=xp),inference(split_conjunct,[status(thm)],[4639])).
% cnf(4641,plain,(aElementOf0(esk36_0,sdtlbdtrb0(xd,szDzizrdt0(xd)))),inference(split_conjunct,[status(thm)],[4639])).
% cnf(4654,plain,(sdtlpdtrp0(xe,xn)=xp),inference(split_conjunct,[status(thm)],[95])).
% cnf(4655,plain,(aElementOf0(xn,szNzAzT0)),inference(split_conjunct,[status(thm)],[95])).
% cnf(4657,plain,(sdtlpdtrp0(xd,xn)=szDzizrdt0(xd)),inference(split_conjunct,[status(thm)],[95])).
% fof(4660, plain,(![X1]:(~(aElementOf0(X1,xP))|aElementOf0(X1,sdtlpdtrp0(xN,szszuzczcdt0(xn))))&aSubsetOf0(xP,sdtlpdtrp0(xN,szszuzczcdt0(xn)))),inference(fof_nnf,[status(thm)],[97])).
% fof(4661, plain,(![X2]:(~(aElementOf0(X2,xP))|aElementOf0(X2,sdtlpdtrp0(xN,szszuzczcdt0(xn))))&aSubsetOf0(xP,sdtlpdtrp0(xN,szszuzczcdt0(xn)))),inference(variable_rename,[status(thm)],[4660])).
% fof(4662, plain,![X2]:((~(aElementOf0(X2,xP))|aElementOf0(X2,sdtlpdtrp0(xN,szszuzczcdt0(xn))))&aSubsetOf0(xP,sdtlpdtrp0(xN,szszuzczcdt0(xn)))),inference(shift_quantors,[status(thm)],[4661])).
% cnf(4663,plain,(aSubsetOf0(xP,sdtlpdtrp0(xN,szszuzczcdt0(xn)))),inference(split_conjunct,[status(thm)],[4662])).
% fof(4665, plain,(((![X1]:(~(aElementOf0(X1,sdtlpdtrp0(xN,xn)))|sdtlseqdt0(szmzizndt0(sdtlpdtrp0(xN,xn)),X1))&aSet0(xD))&![X1]:((~(aElementOf0(X1,xD))|((aElement0(X1)&aElementOf0(X1,sdtlpdtrp0(xN,xn)))&~(X1=szmzizndt0(sdtlpdtrp0(xN,xn)))))&(((~(aElement0(X1))|~(aElementOf0(X1,sdtlpdtrp0(xN,xn))))|X1=szmzizndt0(sdtlpdtrp0(xN,xn)))|aElementOf0(X1,xD))))&xD=sdtmndt0(sdtlpdtrp0(xN,xn),szmzizndt0(sdtlpdtrp0(xN,xn)))),inference(fof_nnf,[status(thm)],[98])).
% fof(4666, plain,(((![X2]:(~(aElementOf0(X2,sdtlpdtrp0(xN,xn)))|sdtlseqdt0(szmzizndt0(sdtlpdtrp0(xN,xn)),X2))&aSet0(xD))&![X3]:((~(aElementOf0(X3,xD))|((aElement0(X3)&aElementOf0(X3,sdtlpdtrp0(xN,xn)))&~(X3=szmzizndt0(sdtlpdtrp0(xN,xn)))))&(((~(aElement0(X3))|~(aElementOf0(X3,sdtlpdtrp0(xN,xn))))|X3=szmzizndt0(sdtlpdtrp0(xN,xn)))|aElementOf0(X3,xD))))&xD=sdtmndt0(sdtlpdtrp0(xN,xn),szmzizndt0(sdtlpdtrp0(xN,xn)))),inference(variable_rename,[status(thm)],[4665])).
% fof(4667, plain,![X2]:![X3]:((((~(aElementOf0(X3,xD))|((aElement0(X3)&aElementOf0(X3,sdtlpdtrp0(xN,xn)))&~(X3=szmzizndt0(sdtlpdtrp0(xN,xn)))))&(((~(aElement0(X3))|~(aElementOf0(X3,sdtlpdtrp0(xN,xn))))|X3=szmzizndt0(sdtlpdtrp0(xN,xn)))|aElementOf0(X3,xD)))&((~(aElementOf0(X2,sdtlpdtrp0(xN,xn)))|sdtlseqdt0(szmzizndt0(sdtlpdtrp0(xN,xn)),X2))&aSet0(xD)))&xD=sdtmndt0(sdtlpdtrp0(xN,xn),szmzizndt0(sdtlpdtrp0(xN,xn)))),inference(shift_quantors,[status(thm)],[4666])).
% fof(4668, plain,![X2]:![X3]:((((((aElement0(X3)|~(aElementOf0(X3,xD)))&(aElementOf0(X3,sdtlpdtrp0(xN,xn))|~(aElementOf0(X3,xD))))&(~(X3=szmzizndt0(sdtlpdtrp0(xN,xn)))|~(aElementOf0(X3,xD))))&(((~(aElement0(X3))|~(aElementOf0(X3,sdtlpdtrp0(xN,xn))))|X3=szmzizndt0(sdtlpdtrp0(xN,xn)))|aElementOf0(X3,xD)))&((~(aElementOf0(X2,sdtlpdtrp0(xN,xn)))|sdtlseqdt0(szmzizndt0(sdtlpdtrp0(xN,xn)),X2))&aSet0(xD)))&xD=sdtmndt0(sdtlpdtrp0(xN,xn),szmzizndt0(sdtlpdtrp0(xN,xn)))),inference(distribute,[status(thm)],[4667])).
% cnf(4669,plain,(xD=sdtmndt0(sdtlpdtrp0(xN,xn),szmzizndt0(sdtlpdtrp0(xN,xn)))),inference(split_conjunct,[status(thm)],[4668])).
% cnf(4672,plain,(aElementOf0(X1,xD)|X1=szmzizndt0(sdtlpdtrp0(xN,xn))|~aElementOf0(X1,sdtlpdtrp0(xN,xn))|~aElement0(X1)),inference(split_conjunct,[status(thm)],[4668])).
% cnf(4673,plain,(~aElementOf0(X1,xD)|X1!=szmzizndt0(sdtlpdtrp0(xN,xn))),inference(split_conjunct,[status(thm)],[4668])).
% cnf(4675,plain,(aElement0(X1)|~aElementOf0(X1,xD)),inference(split_conjunct,[status(thm)],[4668])).
% fof(4745, negated_conjecture,((?[X1]:(aElementOf0(X1,xP)&~(aElementOf0(X1,xD)))&~(aSubsetOf0(xP,xD)))&~(aElementOf0(xP,slbdtsldtrb0(xD,xk)))),inference(fof_nnf,[status(thm)],[116])).
% fof(4746, negated_conjecture,((?[X2]:(aElementOf0(X2,xP)&~(aElementOf0(X2,xD)))&~(aSubsetOf0(xP,xD)))&~(aElementOf0(xP,slbdtsldtrb0(xD,xk)))),inference(variable_rename,[status(thm)],[4745])).
% fof(4747, negated_conjecture,(((aElementOf0(esk41_0,xP)&~(aElementOf0(esk41_0,xD)))&~(aSubsetOf0(xP,xD)))&~(aElementOf0(xP,slbdtsldtrb0(xD,xk)))),inference(skolemize,[status(esa)],[4746])).
% cnf(4749,negated_conjecture,(~aSubsetOf0(xP,xD)),inference(split_conjunct,[status(thm)],[4747])).
% cnf(5406,plain,(xp!=X1|~aElementOf0(X1,xP)),inference(rw,[status(thm)],[4634,4623,theory(equality)])).
% cnf(5415,plain,(aElementOf0(esk36_0,sdtlbdtrb0(xd,sdtlpdtrp0(xd,xn)))),inference(rw,[status(thm)],[4641,4657,theory(equality)])).
% cnf(5422,plain,(xp=X1|aElementOf0(X1,xP)|~aElement0(X1)|~aElementOf0(X1,xQ)),inference(rw,[status(thm)],[4633,4623,theory(equality)])).
% cnf(5425,plain,(aElementOf0(X1,szNzAzT0)|~aElementOf0(X1,sdtlbdtrb0(xd,szDzizrdt0(xd)))),inference(rw,[status(thm)],[4557,4532,theory(equality)])).
% cnf(5426,plain,(aElementOf0(X1,szNzAzT0)|~aElementOf0(X1,sdtlbdtrb0(xd,sdtlpdtrp0(xd,xn)))),inference(rw,[status(thm)],[5425,4657,theory(equality)])).
% cnf(5445,plain,(aSubsetOf0(X1,X2)|~aSubsetOf0(X3,X2)|~aSubsetOf0(X1,X3)|~aSet0(X3)|~aSet0(X2)),inference(csr,[status(thm)],[177,163])).
% cnf(5446,plain,(aSubsetOf0(X1,X2)|~aSubsetOf0(X3,X2)|~aSubsetOf0(X1,X3)|~aSet0(X2)),inference(csr,[status(thm)],[5445,163])).
% cnf(5472,plain,(aElementOf0(szmzizndt0(sdtlpdtrp0(xN,X1)),sdtlpdtrp0(xN,X1))|~isCountable0(sdtlpdtrp0(xN,X1))|~aElementOf0(X1,szNzAzT0)),inference(csr,[status(thm)],[4437,4463])).
% cnf(5473,plain,(aElementOf0(szmzizndt0(sdtlpdtrp0(xN,X1)),sdtlpdtrp0(xN,X1))|~aElementOf0(X1,szNzAzT0)),inference(csr,[status(thm)],[5472,4462])).
% cnf(5490,plain,(aSet0(sdtmndt0(sdtlpdtrp0(xN,X1),szmzizndt0(sdtlpdtrp0(xN,X1))))|~isCountable0(sdtlpdtrp0(xN,X1))|~aElementOf0(X1,szNzAzT0)),inference(csr,[status(thm)],[4434,4463])).
% cnf(5491,plain,(aSet0(sdtmndt0(sdtlpdtrp0(xN,X1),szmzizndt0(sdtlpdtrp0(xN,X1))))|~aElementOf0(X1,szNzAzT0)),inference(csr,[status(thm)],[5490,4462])).
% cnf(5492,plain,(sdtlseqdt0(szmzizndt0(sdtlpdtrp0(xN,X1)),X2)|~isCountable0(sdtlpdtrp0(xN,X1))|~aElementOf0(X2,sdtlpdtrp0(xN,X1))|~aElementOf0(X1,szNzAzT0)),inference(csr,[status(thm)],[4440,4463])).
% cnf(5493,plain,(sdtlseqdt0(szmzizndt0(sdtlpdtrp0(xN,X1)),X2)|~aElementOf0(X2,sdtlpdtrp0(xN,X1))|~aElementOf0(X1,szNzAzT0)),inference(csr,[status(thm)],[5492,4462])).
% cnf(5546,plain,(aSubsetOf0(sdtlpdtrp0(xN,szszuzczcdt0(X1)),sdtmndt0(sdtlpdtrp0(xN,X1),szmzizndt0(sdtlpdtrp0(xN,X1))))|~isCountable0(sdtlpdtrp0(xN,X1))|~aElementOf0(X1,szNzAzT0)),inference(csr,[status(thm)],[4428,4463])).
% cnf(5547,plain,(aSubsetOf0(sdtlpdtrp0(xN,szszuzczcdt0(X1)),sdtmndt0(sdtlpdtrp0(xN,X1),szmzizndt0(sdtlpdtrp0(xN,X1))))|~aElementOf0(X1,szNzAzT0)),inference(csr,[status(thm)],[5546,4462])).
% cnf(8710,plain,(xp=X1|aElementOf0(X1,xP)|~aElementOf0(X1,xQ)|~aElementOf0(X1,xD)),inference(spm,[status(thm)],[5422,4675,theory(equality)])).
% cnf(8727,plain,(aElement0(xp)|~aSet0(xQ)),inference(spm,[status(thm)],[140,4624,theory(equality)])).
% cnf(8760,plain,(aElement0(xp)|$false),inference(rw,[status(thm)],[8727,4598,theory(equality)])).
% cnf(8761,plain,(aElement0(xp)),inference(cn,[status(thm)],[8760,theory(equality)])).
% cnf(9102,plain,(aElementOf0(xp,sdtlpdtrp0(xN,esk36_0))|~aElementOf0(esk36_0,szNzAzT0)),inference(spm,[status(thm)],[4525,4640,theory(equality)])).
% cnf(9105,plain,(aElementOf0(xp,sdtlpdtrp0(xN,xn))|~aElementOf0(xn,szNzAzT0)),inference(spm,[status(thm)],[4525,4654,theory(equality)])).
% cnf(9108,plain,(aElementOf0(xp,sdtlpdtrp0(xN,xn))|$false),inference(rw,[status(thm)],[9105,4655,theory(equality)])).
% cnf(9109,plain,(aElementOf0(xp,sdtlpdtrp0(xN,xn))),inference(cn,[status(thm)],[9108,theory(equality)])).
% cnf(9110,plain,(aElementOf0(esk36_0,szNzAzT0)),inference(spm,[status(thm)],[5426,5415,theory(equality)])).
% cnf(9197,plain,(sdtlpdtrp0(xe,xn)!=X1|~aElementOf0(X1,xD)|~aElementOf0(xn,szNzAzT0)),inference(spm,[status(thm)],[4673,4524,theory(equality)])).
% cnf(9202,plain,(xp!=X1|~aElementOf0(X1,xD)|~aElementOf0(xn,szNzAzT0)),inference(rw,[status(thm)],[9197,4654,theory(equality)])).
% cnf(9203,plain,(xp!=X1|~aElementOf0(X1,xD)|$false),inference(rw,[status(thm)],[9202,4655,theory(equality)])).
% cnf(9204,plain,(xp!=X1|~aElementOf0(X1,xD)),inference(cn,[status(thm)],[9203,theory(equality)])).
% cnf(9451,plain,(aElementOf0(szmzizndt0(sdtlpdtrp0(xN,X1)),szNzAzT0)|~aElementOf0(X1,szNzAzT0)),inference(spm,[status(thm)],[4465,5473,theory(equality)])).
% cnf(9534,plain,(sdtlseqdt0(xp,X1)|~aElementOf0(X1,sdtlpdtrp0(xN,esk36_0))|~aElementOf0(esk36_0,szNzAzT0)),inference(spm,[status(thm)],[4526,4640,theory(equality)])).
% cnf(9838,plain,(X1=szmzizndt0(sdtlpdtrp0(xN,X2))|~sdtlseqdt0(X1,szmzizndt0(sdtlpdtrp0(xN,X2)))|~aElementOf0(szmzizndt0(sdtlpdtrp0(xN,X2)),szNzAzT0)|~aElementOf0(X1,szNzAzT0)|~aElementOf0(X1,sdtlpdtrp0(xN,X2))|~aElementOf0(X2,szNzAzT0)),inference(spm,[status(thm)],[268,5493,theory(equality)])).
% cnf(10196,plain,(X1=X2|szmzizndt0(sdtlpdtrp0(xN,X1))!=sdtlpdtrp0(xe,X2)|~aElementOf0(X2,szNzAzT0)|~aElementOf0(X1,szNzAzT0)),inference(spm,[status(thm)],[4477,4524,theory(equality)])).
% cnf(10996,plain,(aSubsetOf0(X1,sdtmndt0(sdtlpdtrp0(xN,X2),szmzizndt0(sdtlpdtrp0(xN,X2))))|~aSubsetOf0(X1,sdtlpdtrp0(xN,szszuzczcdt0(X2)))|~aSet0(sdtmndt0(sdtlpdtrp0(xN,X2),szmzizndt0(sdtlpdtrp0(xN,X2))))|~aElementOf0(X2,szNzAzT0)),inference(spm,[status(thm)],[5446,5547,theory(equality)])).
% cnf(88647,plain,(aElementOf0(X1,xP)|~aElementOf0(X1,xQ)|~aElementOf0(X1,xD)),inference(csr,[status(thm)],[8710,9204])).
% cnf(88663,plain,(aElementOf0(xp,xP)|~aElementOf0(xp,xD)),inference(spm,[status(thm)],[88647,4624,theory(equality)])).
% cnf(88748,plain,(~aElementOf0(xp,xD)),inference(spm,[status(thm)],[5406,88663,theory(equality)])).
% cnf(95860,plain,(szmzizndt0(sdtlpdtrp0(xN,xn))=xp|aElementOf0(xp,xD)|~aElement0(xp)),inference(spm,[status(thm)],[4672,9109,theory(equality)])).
% cnf(95916,plain,(szmzizndt0(sdtlpdtrp0(xN,xn))=xp|aElementOf0(xp,xD)|$false),inference(rw,[status(thm)],[95860,8761,theory(equality)])).
% cnf(95917,plain,(szmzizndt0(sdtlpdtrp0(xN,xn))=xp|aElementOf0(xp,xD)),inference(cn,[status(thm)],[95916,theory(equality)])).
% cnf(95918,plain,(szmzizndt0(sdtlpdtrp0(xN,xn))=xp),inference(sr,[status(thm)],[95917,88748,theory(equality)])).
% cnf(96299,plain,(sdtmndt0(sdtlpdtrp0(xN,xn),xp)=xD),inference(rw,[status(thm)],[4669,95918,theory(equality)])).
% cnf(108077,plain,(aElementOf0(xp,sdtlpdtrp0(xN,esk36_0))|$false),inference(rw,[status(thm)],[9102,9110,theory(equality)])).
% cnf(108078,plain,(aElementOf0(xp,sdtlpdtrp0(xN,esk36_0))),inference(cn,[status(thm)],[108077,theory(equality)])).
% cnf(144271,plain,(sdtlseqdt0(xp,X1)|~aElementOf0(X1,sdtlpdtrp0(xN,esk36_0))|$false),inference(rw,[status(thm)],[9534,9110,theory(equality)])).
% cnf(144272,plain,(sdtlseqdt0(xp,X1)|~aElementOf0(X1,sdtlpdtrp0(xN,esk36_0))),inference(cn,[status(thm)],[144271,theory(equality)])).
% cnf(144305,plain,(sdtlseqdt0(xp,szmzizndt0(sdtlpdtrp0(xN,esk36_0)))|~aElementOf0(esk36_0,szNzAzT0)),inference(spm,[status(thm)],[144272,5473,theory(equality)])).
% cnf(144321,plain,(sdtlseqdt0(xp,szmzizndt0(sdtlpdtrp0(xN,esk36_0)))|$false),inference(rw,[status(thm)],[144305,9110,theory(equality)])).
% cnf(144322,plain,(sdtlseqdt0(xp,szmzizndt0(sdtlpdtrp0(xN,esk36_0)))),inference(cn,[status(thm)],[144321,theory(equality)])).
% cnf(157824,plain,(X1=szmzizndt0(sdtlpdtrp0(xN,X2))|~sdtlseqdt0(X1,szmzizndt0(sdtlpdtrp0(xN,X2)))|~aElementOf0(szmzizndt0(sdtlpdtrp0(xN,X2)),szNzAzT0)|~aElementOf0(X1,sdtlpdtrp0(xN,X2))|~aElementOf0(X2,szNzAzT0)),inference(csr,[status(thm)],[9838,4465])).
% cnf(157825,plain,(X1=szmzizndt0(sdtlpdtrp0(xN,X2))|~sdtlseqdt0(X1,szmzizndt0(sdtlpdtrp0(xN,X2)))|~aElementOf0(X1,sdtlpdtrp0(xN,X2))|~aElementOf0(X2,szNzAzT0)),inference(csr,[status(thm)],[157824,9451])).
% cnf(157847,plain,(xp=szmzizndt0(sdtlpdtrp0(xN,esk36_0))|~aElementOf0(xp,sdtlpdtrp0(xN,esk36_0))|~aElementOf0(esk36_0,szNzAzT0)),inference(spm,[status(thm)],[157825,144322,theory(equality)])).
% cnf(157924,plain,(xp=szmzizndt0(sdtlpdtrp0(xN,esk36_0))|$false|~aElementOf0(esk36_0,szNzAzT0)),inference(rw,[status(thm)],[157847,108078,theory(equality)])).
% cnf(157925,plain,(xp=szmzizndt0(sdtlpdtrp0(xN,esk36_0))|$false|$false),inference(rw,[status(thm)],[157924,9110,theory(equality)])).
% cnf(157926,plain,(xp=szmzizndt0(sdtlpdtrp0(xN,esk36_0))),inference(cn,[status(thm)],[157925,theory(equality)])).
% cnf(189029,plain,(xn=X1|xp!=sdtlpdtrp0(xe,X1)|~aElementOf0(X1,szNzAzT0)|~aElementOf0(xn,szNzAzT0)),inference(spm,[status(thm)],[10196,95918,theory(equality)])).
% cnf(189048,plain,(xn=X1|xp!=sdtlpdtrp0(xe,X1)|~aElementOf0(X1,szNzAzT0)|$false),inference(rw,[status(thm)],[189029,4655,theory(equality)])).
% cnf(189049,plain,(xn=X1|xp!=sdtlpdtrp0(xe,X1)|~aElementOf0(X1,szNzAzT0)),inference(cn,[status(thm)],[189048,theory(equality)])).
% cnf(220022,plain,(xn=esk36_0|~aElementOf0(esk36_0,szNzAzT0)),inference(spm,[status(thm)],[189049,4640,theory(equality)])).
% cnf(220036,plain,(xn=esk36_0|$false),inference(rw,[status(thm)],[220022,9110,theory(equality)])).
% cnf(220037,plain,(xn=esk36_0),inference(cn,[status(thm)],[220036,theory(equality)])).
% cnf(220179,plain,(aSubsetOf0(xP,sdtlpdtrp0(xN,szszuzczcdt0(esk36_0)))),inference(rw,[status(thm)],[4663,220037,theory(equality)])).
% cnf(220182,plain,(sdtmndt0(sdtlpdtrp0(xN,esk36_0),xp)=xD),inference(rw,[status(thm)],[96299,220037,theory(equality)])).
% cnf(246899,plain,(aSubsetOf0(X1,sdtmndt0(sdtlpdtrp0(xN,X2),szmzizndt0(sdtlpdtrp0(xN,X2))))|~aSubsetOf0(X1,sdtlpdtrp0(xN,szszuzczcdt0(X2)))|~aElementOf0(X2,szNzAzT0)),inference(csr,[status(thm)],[10996,5491])).
% cnf(247072,plain,(aSubsetOf0(X1,sdtmndt0(sdtlpdtrp0(xN,esk36_0),xp))|~aSubsetOf0(X1,sdtlpdtrp0(xN,szszuzczcdt0(esk36_0)))|~aElementOf0(esk36_0,szNzAzT0)),inference(spm,[status(thm)],[246899,157926,theory(equality)])).
% cnf(247086,plain,(aSubsetOf0(X1,xD)|~aSubsetOf0(X1,sdtlpdtrp0(xN,szszuzczcdt0(esk36_0)))|~aElementOf0(esk36_0,szNzAzT0)),inference(rw,[status(thm)],[247072,220182,theory(equality)])).
% cnf(247087,plain,(aSubsetOf0(X1,xD)|~aSubsetOf0(X1,sdtlpdtrp0(xN,szszuzczcdt0(esk36_0)))|$false),inference(rw,[status(thm)],[247086,9110,theory(equality)])).
% cnf(247088,plain,(aSubsetOf0(X1,xD)|~aSubsetOf0(X1,sdtlpdtrp0(xN,szszuzczcdt0(esk36_0)))),inference(cn,[status(thm)],[247087,theory(equality)])).
% cnf(250581,plain,(aSubsetOf0(xP,xD)),inference(spm,[status(thm)],[247088,220179,theory(equality)])).
% cnf(250601,plain,($false),inference(sr,[status(thm)],[250581,4749,theory(equality)])).
% cnf(250602,plain,($false),250601,['proof']).
% # SZS output end CNFRefutation
% # Processed clauses : 16298
% # ...of these trivial : 209
% # ...subsumed : 6948
% # ...remaining for further processing: 9141
% # Other redundant clauses eliminated : 41
% # Clauses deleted for lack of memory : 0
% # Backward-subsumed : 588
% # Backward-rewritten : 225
% # Generated clauses : 167831
% # ...of the previous two non-trivial : 154652
% # Contextual simplify-reflections : 6891
% # Paramodulations : 167589
% # Factorizations : 0
% # Equation resolutions : 225
% # Current number of processed clauses: 5250
% # Positive orientable unit clauses: 227
% # Positive unorientable unit clauses: 0
% # Negative unit clauses : 116
% # Non-unit-clauses : 4907
% # Current number of unprocessed clauses: 125880
% # ...number of literals in the above : 1489641
% # Clause-clause subsumption calls (NU) : 3218728
% # Rec. Clause-clause subsumption calls : 365604
% # Unit Clause-clause subsumption calls : 222342
% # Rewrite failures with RHS unbound : 0
% # Indexed BW rewrite attempts : 45
% # Indexed BW rewrite successes : 40
% # Backwards rewriting index: 2197 leaves, 1.38+/-1.399 terms/leaf
% # Paramod-from index: 953 leaves, 1.08+/-0.319 terms/leaf
% # Paramod-into index: 1737 leaves, 1.24+/-0.880 terms/leaf
% # -------------------------------------------------
% # User time : 22.177 s
% # System time : 0.393 s
% # Total time : 22.570 s
% # Maximum resident set size: 0 pages
% PrfWatch: 29.20 CPU 30.22 WC
% FINAL PrfWatch: 29.20 CPU 30.22 WC
% SZS output end Solution for /tmp/SystemOnTPTP18386/NUM629+3.tptp
%
%------------------------------------------------------------------------------