TSTP Solution File: NUM582+3 by SRASS---0.1
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- Process Solution
%------------------------------------------------------------------------------
% File : SRASS---0.1
% Problem : NUM582+3 : TPTP v5.0.0. Released v4.0.0.
% Transfm : none
% Format : tptp
% Command : SRASS -q2 -a 0 10 10 10 -i3 -n60 %s
% Computer : art09.cs.miami.edu
% Model : i686 i686
% CPU : Intel(R) Pentium(R) 4 CPU 2.80GHz @ 2793MHz
% Memory : 2018MB
% OS : Linux 2.6.26.8-57.fc8
% CPULimit : 300s
% DateTime : Wed Dec 29 20:19:03 EST 2010
% Result : Theorem 11.22s
% Output : Solution 11.22s
% 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/SystemOnTPTP10209/NUM582+3.tptp
% Adding relevance values
% Extracting the conjecture
% Sorting axioms by relevance
% Looking for THM ...
% found
% SZS status THM for /tmp/SystemOnTPTP10209/NUM582+3.tptp
% SZS output start Solution for /tmp/SystemOnTPTP10209/NUM582+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 10305
% TreeLimitedRun: ----------------------------------------------------------
% PrfWatch: 0.00 CPU 0.01 WC
% PrfWatch: 1.94 CPU 2.02 WC
% PrfWatch: 3.55 CPU 4.02 WC
% PrfWatch: 5.20 CPU 6.03 WC
% PrfWatch: 7.20 CPU 8.03 WC
% # Preprocessing time : 0.544 s
% # Problem is unsatisfiable (or provable), constructing proof object
% # SZS status Theorem
% PrfWatch: 9.19 CPU 10.04 WC
% # SZS output start CNFRefutation.
% fof(17, axiom,aElementOf0(sz00,szNzAzT0),file('/tmp/SRASS.s.p', mZeroNum)).
% fof(22, axiom,![X1]:(aElementOf0(X1,szNzAzT0)=>sdtlseqdt0(sz00,X1)),file('/tmp/SRASS.s.p', mZeroLess)).
% fof(54, axiom,(((aFunction0(xN)&szDzozmdt0(xN)=szNzAzT0)&sdtlpdtrp0(xN,sz00)=xS)&![X1]:(aElementOf0(X1,szNzAzT0)=>((((aSet0(sdtlpdtrp0(xN,X1))&![X2]:(aElementOf0(X2,sdtlpdtrp0(xN,X1))=>aElementOf0(X2,szNzAzT0)))|aSubsetOf0(sdtlpdtrp0(xN,X1),szNzAzT0))&isCountable0(sdtlpdtrp0(xN,X1)))=>(((((((aElementOf0(szmzizndt0(sdtlpdtrp0(xN,X1)),sdtlpdtrp0(xN,X1))&![X2]:(aElementOf0(X2,sdtlpdtrp0(xN,X1))=>sdtlseqdt0(szmzizndt0(sdtlpdtrp0(xN,X1)),X2)))&aSet0(sdtmndt0(sdtlpdtrp0(xN,X1),szmzizndt0(sdtlpdtrp0(xN,X1)))))&![X2]:(aElementOf0(X2,sdtmndt0(sdtlpdtrp0(xN,X1),szmzizndt0(sdtlpdtrp0(xN,X1))))<=>((aElement0(X2)&aElementOf0(X2,sdtlpdtrp0(xN,X1)))&~(X2=szmzizndt0(sdtlpdtrp0(xN,X1))))))&aSet0(sdtlpdtrp0(xN,szszuzczcdt0(X1))))&![X2]:(aElementOf0(X2,sdtlpdtrp0(xN,szszuzczcdt0(X1)))=>aElementOf0(X2,sdtmndt0(sdtlpdtrp0(xN,X1),szmzizndt0(sdtlpdtrp0(xN,X1))))))&aSubsetOf0(sdtlpdtrp0(xN,szszuzczcdt0(X1)),sdtmndt0(sdtlpdtrp0(xN,X1),szmzizndt0(sdtlpdtrp0(xN,X1)))))&isCountable0(sdtlpdtrp0(xN,szszuzczcdt0(X1))))))),file('/tmp/SRASS.s.p', m__3623)).
% fof(56, axiom,![X1]:![X2]:((aElementOf0(X1,szNzAzT0)&aElementOf0(X2,szNzAzT0))=>(sdtlseqdt0(X2,X1)=>(![X3]:(aElementOf0(X3,sdtlpdtrp0(xN,X1))=>aElementOf0(X3,sdtlpdtrp0(xN,X2)))&aSubsetOf0(sdtlpdtrp0(xN,X1),sdtlpdtrp0(xN,X2))))),file('/tmp/SRASS.s.p', m__3754)).
% fof(58, axiom,aElementOf0(xi,szNzAzT0),file('/tmp/SRASS.s.p', m__3989)).
% fof(88, conjecture,(![X1]:(aElementOf0(X1,sdtlpdtrp0(xN,xi))=>aElementOf0(X1,xS))|aSubsetOf0(sdtlpdtrp0(xN,xi),xS)),file('/tmp/SRASS.s.p', m__)).
% fof(89, negated_conjecture,~((![X1]:(aElementOf0(X1,sdtlpdtrp0(xN,xi))=>aElementOf0(X1,xS))|aSubsetOf0(sdtlpdtrp0(xN,xi),xS))),inference(assume_negation,[status(cth)],[88])).
% cnf(184,plain,(aElementOf0(sz00,szNzAzT0)),inference(split_conjunct,[status(thm)],[17])).
% fof(202, plain,![X1]:(~(aElementOf0(X1,szNzAzT0))|sdtlseqdt0(sz00,X1)),inference(fof_nnf,[status(thm)],[22])).
% fof(203, plain,![X2]:(~(aElementOf0(X2,szNzAzT0))|sdtlseqdt0(sz00,X2)),inference(variable_rename,[status(thm)],[202])).
% cnf(204,plain,(sdtlseqdt0(sz00,X1)|~aElementOf0(X1,szNzAzT0)),inference(split_conjunct,[status(thm)],[203])).
% fof(4325, plain,(((aFunction0(xN)&szDzozmdt0(xN)=szNzAzT0)&sdtlpdtrp0(xN,sz00)=xS)&![X1]:(~(aElementOf0(X1,szNzAzT0))|((((~(aSet0(sdtlpdtrp0(xN,X1)))|?[X2]:(aElementOf0(X2,sdtlpdtrp0(xN,X1))&~(aElementOf0(X2,szNzAzT0))))&~(aSubsetOf0(sdtlpdtrp0(xN,X1),szNzAzT0)))|~(isCountable0(sdtlpdtrp0(xN,X1))))|(((((((aElementOf0(szmzizndt0(sdtlpdtrp0(xN,X1)),sdtlpdtrp0(xN,X1))&![X2]:(~(aElementOf0(X2,sdtlpdtrp0(xN,X1)))|sdtlseqdt0(szmzizndt0(sdtlpdtrp0(xN,X1)),X2)))&aSet0(sdtmndt0(sdtlpdtrp0(xN,X1),szmzizndt0(sdtlpdtrp0(xN,X1)))))&![X2]:((~(aElementOf0(X2,sdtmndt0(sdtlpdtrp0(xN,X1),szmzizndt0(sdtlpdtrp0(xN,X1)))))|((aElement0(X2)&aElementOf0(X2,sdtlpdtrp0(xN,X1)))&~(X2=szmzizndt0(sdtlpdtrp0(xN,X1)))))&(((~(aElement0(X2))|~(aElementOf0(X2,sdtlpdtrp0(xN,X1))))|X2=szmzizndt0(sdtlpdtrp0(xN,X1)))|aElementOf0(X2,sdtmndt0(sdtlpdtrp0(xN,X1),szmzizndt0(sdtlpdtrp0(xN,X1)))))))&aSet0(sdtlpdtrp0(xN,szszuzczcdt0(X1))))&![X2]:(~(aElementOf0(X2,sdtlpdtrp0(xN,szszuzczcdt0(X1))))|aElementOf0(X2,sdtmndt0(sdtlpdtrp0(xN,X1),szmzizndt0(sdtlpdtrp0(xN,X1))))))&aSubsetOf0(sdtlpdtrp0(xN,szszuzczcdt0(X1)),sdtmndt0(sdtlpdtrp0(xN,X1),szmzizndt0(sdtlpdtrp0(xN,X1)))))&isCountable0(sdtlpdtrp0(xN,szszuzczcdt0(X1))))))),inference(fof_nnf,[status(thm)],[54])).
% fof(4326, 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)],[4325])).
% fof(4327, plain,(((aFunction0(xN)&szDzozmdt0(xN)=szNzAzT0)&sdtlpdtrp0(xN,sz00)=xS)&![X3]:(~(aElementOf0(X3,szNzAzT0))|((((~(aSet0(sdtlpdtrp0(xN,X3)))|(aElementOf0(esk23_1(X3),sdtlpdtrp0(xN,X3))&~(aElementOf0(esk23_1(X3),szNzAzT0))))&~(aSubsetOf0(sdtlpdtrp0(xN,X3),szNzAzT0)))|~(isCountable0(sdtlpdtrp0(xN,X3))))|(((((((aElementOf0(szmzizndt0(sdtlpdtrp0(xN,X3)),sdtlpdtrp0(xN,X3))&![X5]:(~(aElementOf0(X5,sdtlpdtrp0(xN,X3)))|sdtlseqdt0(szmzizndt0(sdtlpdtrp0(xN,X3)),X5)))&aSet0(sdtmndt0(sdtlpdtrp0(xN,X3),szmzizndt0(sdtlpdtrp0(xN,X3)))))&![X6]:((~(aElementOf0(X6,sdtmndt0(sdtlpdtrp0(xN,X3),szmzizndt0(sdtlpdtrp0(xN,X3)))))|((aElement0(X6)&aElementOf0(X6,sdtlpdtrp0(xN,X3)))&~(X6=szmzizndt0(sdtlpdtrp0(xN,X3)))))&(((~(aElement0(X6))|~(aElementOf0(X6,sdtlpdtrp0(xN,X3))))|X6=szmzizndt0(sdtlpdtrp0(xN,X3)))|aElementOf0(X6,sdtmndt0(sdtlpdtrp0(xN,X3),szmzizndt0(sdtlpdtrp0(xN,X3)))))))&aSet0(sdtlpdtrp0(xN,szszuzczcdt0(X3))))&![X7]:(~(aElementOf0(X7,sdtlpdtrp0(xN,szszuzczcdt0(X3))))|aElementOf0(X7,sdtmndt0(sdtlpdtrp0(xN,X3),szmzizndt0(sdtlpdtrp0(xN,X3))))))&aSubsetOf0(sdtlpdtrp0(xN,szszuzczcdt0(X3)),sdtmndt0(sdtlpdtrp0(xN,X3),szmzizndt0(sdtlpdtrp0(xN,X3)))))&isCountable0(sdtlpdtrp0(xN,szszuzczcdt0(X3))))))),inference(skolemize,[status(esa)],[4326])).
% fof(4328, plain,![X3]:![X5]:![X6]:![X7]:(((((((~(aElementOf0(X7,sdtlpdtrp0(xN,szszuzczcdt0(X3))))|aElementOf0(X7,sdtmndt0(sdtlpdtrp0(xN,X3),szmzizndt0(sdtlpdtrp0(xN,X3)))))&((((~(aElementOf0(X6,sdtmndt0(sdtlpdtrp0(xN,X3),szmzizndt0(sdtlpdtrp0(xN,X3)))))|((aElement0(X6)&aElementOf0(X6,sdtlpdtrp0(xN,X3)))&~(X6=szmzizndt0(sdtlpdtrp0(xN,X3)))))&(((~(aElement0(X6))|~(aElementOf0(X6,sdtlpdtrp0(xN,X3))))|X6=szmzizndt0(sdtlpdtrp0(xN,X3)))|aElementOf0(X6,sdtmndt0(sdtlpdtrp0(xN,X3),szmzizndt0(sdtlpdtrp0(xN,X3))))))&(((~(aElementOf0(X5,sdtlpdtrp0(xN,X3)))|sdtlseqdt0(szmzizndt0(sdtlpdtrp0(xN,X3)),X5))&aElementOf0(szmzizndt0(sdtlpdtrp0(xN,X3)),sdtlpdtrp0(xN,X3)))&aSet0(sdtmndt0(sdtlpdtrp0(xN,X3),szmzizndt0(sdtlpdtrp0(xN,X3))))))&aSet0(sdtlpdtrp0(xN,szszuzczcdt0(X3)))))&aSubsetOf0(sdtlpdtrp0(xN,szszuzczcdt0(X3)),sdtmndt0(sdtlpdtrp0(xN,X3),szmzizndt0(sdtlpdtrp0(xN,X3)))))&isCountable0(sdtlpdtrp0(xN,szszuzczcdt0(X3))))|(((~(aSet0(sdtlpdtrp0(xN,X3)))|(aElementOf0(esk23_1(X3),sdtlpdtrp0(xN,X3))&~(aElementOf0(esk23_1(X3),szNzAzT0))))&~(aSubsetOf0(sdtlpdtrp0(xN,X3),szNzAzT0)))|~(isCountable0(sdtlpdtrp0(xN,X3)))))|~(aElementOf0(X3,szNzAzT0)))&((aFunction0(xN)&szDzozmdt0(xN)=szNzAzT0)&sdtlpdtrp0(xN,sz00)=xS)),inference(shift_quantors,[status(thm)],[4327])).
% fof(4329, plain,![X3]:![X5]:![X6]:![X7]:((((((((((aElementOf0(esk23_1(X3),sdtlpdtrp0(xN,X3))|~(aSet0(sdtlpdtrp0(xN,X3))))|~(isCountable0(sdtlpdtrp0(xN,X3))))|(~(aElementOf0(X7,sdtlpdtrp0(xN,szszuzczcdt0(X3))))|aElementOf0(X7,sdtmndt0(sdtlpdtrp0(xN,X3),szmzizndt0(sdtlpdtrp0(xN,X3))))))|~(aElementOf0(X3,szNzAzT0)))&((((~(aElementOf0(esk23_1(X3),szNzAzT0))|~(aSet0(sdtlpdtrp0(xN,X3))))|~(isCountable0(sdtlpdtrp0(xN,X3))))|(~(aElementOf0(X7,sdtlpdtrp0(xN,szszuzczcdt0(X3))))|aElementOf0(X7,sdtmndt0(sdtlpdtrp0(xN,X3),szmzizndt0(sdtlpdtrp0(xN,X3))))))|~(aElementOf0(X3,szNzAzT0))))&(((~(aSubsetOf0(sdtlpdtrp0(xN,X3),szNzAzT0))|~(isCountable0(sdtlpdtrp0(xN,X3))))|(~(aElementOf0(X7,sdtlpdtrp0(xN,szszuzczcdt0(X3))))|aElementOf0(X7,sdtmndt0(sdtlpdtrp0(xN,X3),szmzizndt0(sdtlpdtrp0(xN,X3))))))|~(aElementOf0(X3,szNzAzT0))))&(((((((((((aElementOf0(esk23_1(X3),sdtlpdtrp0(xN,X3))|~(aSet0(sdtlpdtrp0(xN,X3))))|~(isCountable0(sdtlpdtrp0(xN,X3))))|(aElement0(X6)|~(aElementOf0(X6,sdtmndt0(sdtlpdtrp0(xN,X3),szmzizndt0(sdtlpdtrp0(xN,X3)))))))|~(aElementOf0(X3,szNzAzT0)))&((((~(aElementOf0(esk23_1(X3),szNzAzT0))|~(aSet0(sdtlpdtrp0(xN,X3))))|~(isCountable0(sdtlpdtrp0(xN,X3))))|(aElement0(X6)|~(aElementOf0(X6,sdtmndt0(sdtlpdtrp0(xN,X3),szmzizndt0(sdtlpdtrp0(xN,X3)))))))|~(aElementOf0(X3,szNzAzT0))))&(((~(aSubsetOf0(sdtlpdtrp0(xN,X3),szNzAzT0))|~(isCountable0(sdtlpdtrp0(xN,X3))))|(aElement0(X6)|~(aElementOf0(X6,sdtmndt0(sdtlpdtrp0(xN,X3),szmzizndt0(sdtlpdtrp0(xN,X3)))))))|~(aElementOf0(X3,szNzAzT0))))&((((((aElementOf0(esk23_1(X3),sdtlpdtrp0(xN,X3))|~(aSet0(sdtlpdtrp0(xN,X3))))|~(isCountable0(sdtlpdtrp0(xN,X3))))|(aElementOf0(X6,sdtlpdtrp0(xN,X3))|~(aElementOf0(X6,sdtmndt0(sdtlpdtrp0(xN,X3),szmzizndt0(sdtlpdtrp0(xN,X3)))))))|~(aElementOf0(X3,szNzAzT0)))&((((~(aElementOf0(esk23_1(X3),szNzAzT0))|~(aSet0(sdtlpdtrp0(xN,X3))))|~(isCountable0(sdtlpdtrp0(xN,X3))))|(aElementOf0(X6,sdtlpdtrp0(xN,X3))|~(aElementOf0(X6,sdtmndt0(sdtlpdtrp0(xN,X3),szmzizndt0(sdtlpdtrp0(xN,X3)))))))|~(aElementOf0(X3,szNzAzT0))))&(((~(aSubsetOf0(sdtlpdtrp0(xN,X3),szNzAzT0))|~(isCountable0(sdtlpdtrp0(xN,X3))))|(aElementOf0(X6,sdtlpdtrp0(xN,X3))|~(aElementOf0(X6,sdtmndt0(sdtlpdtrp0(xN,X3),szmzizndt0(sdtlpdtrp0(xN,X3)))))))|~(aElementOf0(X3,szNzAzT0)))))&((((((aElementOf0(esk23_1(X3),sdtlpdtrp0(xN,X3))|~(aSet0(sdtlpdtrp0(xN,X3))))|~(isCountable0(sdtlpdtrp0(xN,X3))))|(~(X6=szmzizndt0(sdtlpdtrp0(xN,X3)))|~(aElementOf0(X6,sdtmndt0(sdtlpdtrp0(xN,X3),szmzizndt0(sdtlpdtrp0(xN,X3)))))))|~(aElementOf0(X3,szNzAzT0)))&((((~(aElementOf0(esk23_1(X3),szNzAzT0))|~(aSet0(sdtlpdtrp0(xN,X3))))|~(isCountable0(sdtlpdtrp0(xN,X3))))|(~(X6=szmzizndt0(sdtlpdtrp0(xN,X3)))|~(aElementOf0(X6,sdtmndt0(sdtlpdtrp0(xN,X3),szmzizndt0(sdtlpdtrp0(xN,X3)))))))|~(aElementOf0(X3,szNzAzT0))))&(((~(aSubsetOf0(sdtlpdtrp0(xN,X3),szNzAzT0))|~(isCountable0(sdtlpdtrp0(xN,X3))))|(~(X6=szmzizndt0(sdtlpdtrp0(xN,X3)))|~(aElementOf0(X6,sdtmndt0(sdtlpdtrp0(xN,X3),szmzizndt0(sdtlpdtrp0(xN,X3)))))))|~(aElementOf0(X3,szNzAzT0)))))&((((((aElementOf0(esk23_1(X3),sdtlpdtrp0(xN,X3))|~(aSet0(sdtlpdtrp0(xN,X3))))|~(isCountable0(sdtlpdtrp0(xN,X3))))|(((~(aElement0(X6))|~(aElementOf0(X6,sdtlpdtrp0(xN,X3))))|X6=szmzizndt0(sdtlpdtrp0(xN,X3)))|aElementOf0(X6,sdtmndt0(sdtlpdtrp0(xN,X3),szmzizndt0(sdtlpdtrp0(xN,X3))))))|~(aElementOf0(X3,szNzAzT0)))&((((~(aElementOf0(esk23_1(X3),szNzAzT0))|~(aSet0(sdtlpdtrp0(xN,X3))))|~(isCountable0(sdtlpdtrp0(xN,X3))))|(((~(aElement0(X6))|~(aElementOf0(X6,sdtlpdtrp0(xN,X3))))|X6=szmzizndt0(sdtlpdtrp0(xN,X3)))|aElementOf0(X6,sdtmndt0(sdtlpdtrp0(xN,X3),szmzizndt0(sdtlpdtrp0(xN,X3))))))|~(aElementOf0(X3,szNzAzT0))))&(((~(aSubsetOf0(sdtlpdtrp0(xN,X3),szNzAzT0))|~(isCountable0(sdtlpdtrp0(xN,X3))))|(((~(aElement0(X6))|~(aElementOf0(X6,sdtlpdtrp0(xN,X3))))|X6=szmzizndt0(sdtlpdtrp0(xN,X3)))|aElementOf0(X6,sdtmndt0(sdtlpdtrp0(xN,X3),szmzizndt0(sdtlpdtrp0(xN,X3))))))|~(aElementOf0(X3,szNzAzT0)))))&((((((((aElementOf0(esk23_1(X3),sdtlpdtrp0(xN,X3))|~(aSet0(sdtlpdtrp0(xN,X3))))|~(isCountable0(sdtlpdtrp0(xN,X3))))|(~(aElementOf0(X5,sdtlpdtrp0(xN,X3)))|sdtlseqdt0(szmzizndt0(sdtlpdtrp0(xN,X3)),X5)))|~(aElementOf0(X3,szNzAzT0)))&((((~(aElementOf0(esk23_1(X3),szNzAzT0))|~(aSet0(sdtlpdtrp0(xN,X3))))|~(isCountable0(sdtlpdtrp0(xN,X3))))|(~(aElementOf0(X5,sdtlpdtrp0(xN,X3)))|sdtlseqdt0(szmzizndt0(sdtlpdtrp0(xN,X3)),X5)))|~(aElementOf0(X3,szNzAzT0))))&(((~(aSubsetOf0(sdtlpdtrp0(xN,X3),szNzAzT0))|~(isCountable0(sdtlpdtrp0(xN,X3))))|(~(aElementOf0(X5,sdtlpdtrp0(xN,X3)))|sdtlseqdt0(szmzizndt0(sdtlpdtrp0(xN,X3)),X5)))|~(aElementOf0(X3,szNzAzT0))))&((((((aElementOf0(esk23_1(X3),sdtlpdtrp0(xN,X3))|~(aSet0(sdtlpdtrp0(xN,X3))))|~(isCountable0(sdtlpdtrp0(xN,X3))))|aElementOf0(szmzizndt0(sdtlpdtrp0(xN,X3)),sdtlpdtrp0(xN,X3)))|~(aElementOf0(X3,szNzAzT0)))&((((~(aElementOf0(esk23_1(X3),szNzAzT0))|~(aSet0(sdtlpdtrp0(xN,X3))))|~(isCountable0(sdtlpdtrp0(xN,X3))))|aElementOf0(szmzizndt0(sdtlpdtrp0(xN,X3)),sdtlpdtrp0(xN,X3)))|~(aElementOf0(X3,szNzAzT0))))&(((~(aSubsetOf0(sdtlpdtrp0(xN,X3),szNzAzT0))|~(isCountable0(sdtlpdtrp0(xN,X3))))|aElementOf0(szmzizndt0(sdtlpdtrp0(xN,X3)),sdtlpdtrp0(xN,X3)))|~(aElementOf0(X3,szNzAzT0)))))&((((((aElementOf0(esk23_1(X3),sdtlpdtrp0(xN,X3))|~(aSet0(sdtlpdtrp0(xN,X3))))|~(isCountable0(sdtlpdtrp0(xN,X3))))|aSet0(sdtmndt0(sdtlpdtrp0(xN,X3),szmzizndt0(sdtlpdtrp0(xN,X3)))))|~(aElementOf0(X3,szNzAzT0)))&((((~(aElementOf0(esk23_1(X3),szNzAzT0))|~(aSet0(sdtlpdtrp0(xN,X3))))|~(isCountable0(sdtlpdtrp0(xN,X3))))|aSet0(sdtmndt0(sdtlpdtrp0(xN,X3),szmzizndt0(sdtlpdtrp0(xN,X3)))))|~(aElementOf0(X3,szNzAzT0))))&(((~(aSubsetOf0(sdtlpdtrp0(xN,X3),szNzAzT0))|~(isCountable0(sdtlpdtrp0(xN,X3))))|aSet0(sdtmndt0(sdtlpdtrp0(xN,X3),szmzizndt0(sdtlpdtrp0(xN,X3)))))|~(aElementOf0(X3,szNzAzT0))))))&((((((aElementOf0(esk23_1(X3),sdtlpdtrp0(xN,X3))|~(aSet0(sdtlpdtrp0(xN,X3))))|~(isCountable0(sdtlpdtrp0(xN,X3))))|aSet0(sdtlpdtrp0(xN,szszuzczcdt0(X3))))|~(aElementOf0(X3,szNzAzT0)))&((((~(aElementOf0(esk23_1(X3),szNzAzT0))|~(aSet0(sdtlpdtrp0(xN,X3))))|~(isCountable0(sdtlpdtrp0(xN,X3))))|aSet0(sdtlpdtrp0(xN,szszuzczcdt0(X3))))|~(aElementOf0(X3,szNzAzT0))))&(((~(aSubsetOf0(sdtlpdtrp0(xN,X3),szNzAzT0))|~(isCountable0(sdtlpdtrp0(xN,X3))))|aSet0(sdtlpdtrp0(xN,szszuzczcdt0(X3))))|~(aElementOf0(X3,szNzAzT0))))))&((((((aElementOf0(esk23_1(X3),sdtlpdtrp0(xN,X3))|~(aSet0(sdtlpdtrp0(xN,X3))))|~(isCountable0(sdtlpdtrp0(xN,X3))))|aSubsetOf0(sdtlpdtrp0(xN,szszuzczcdt0(X3)),sdtmndt0(sdtlpdtrp0(xN,X3),szmzizndt0(sdtlpdtrp0(xN,X3)))))|~(aElementOf0(X3,szNzAzT0)))&((((~(aElementOf0(esk23_1(X3),szNzAzT0))|~(aSet0(sdtlpdtrp0(xN,X3))))|~(isCountable0(sdtlpdtrp0(xN,X3))))|aSubsetOf0(sdtlpdtrp0(xN,szszuzczcdt0(X3)),sdtmndt0(sdtlpdtrp0(xN,X3),szmzizndt0(sdtlpdtrp0(xN,X3)))))|~(aElementOf0(X3,szNzAzT0))))&(((~(aSubsetOf0(sdtlpdtrp0(xN,X3),szNzAzT0))|~(isCountable0(sdtlpdtrp0(xN,X3))))|aSubsetOf0(sdtlpdtrp0(xN,szszuzczcdt0(X3)),sdtmndt0(sdtlpdtrp0(xN,X3),szmzizndt0(sdtlpdtrp0(xN,X3)))))|~(aElementOf0(X3,szNzAzT0)))))&((((((aElementOf0(esk23_1(X3),sdtlpdtrp0(xN,X3))|~(aSet0(sdtlpdtrp0(xN,X3))))|~(isCountable0(sdtlpdtrp0(xN,X3))))|isCountable0(sdtlpdtrp0(xN,szszuzczcdt0(X3))))|~(aElementOf0(X3,szNzAzT0)))&((((~(aElementOf0(esk23_1(X3),szNzAzT0))|~(aSet0(sdtlpdtrp0(xN,X3))))|~(isCountable0(sdtlpdtrp0(xN,X3))))|isCountable0(sdtlpdtrp0(xN,szszuzczcdt0(X3))))|~(aElementOf0(X3,szNzAzT0))))&(((~(aSubsetOf0(sdtlpdtrp0(xN,X3),szNzAzT0))|~(isCountable0(sdtlpdtrp0(xN,X3))))|isCountable0(sdtlpdtrp0(xN,szszuzczcdt0(X3))))|~(aElementOf0(X3,szNzAzT0)))))&((aFunction0(xN)&szDzozmdt0(xN)=szNzAzT0)&sdtlpdtrp0(xN,sz00)=xS)),inference(distribute,[status(thm)],[4328])).
% cnf(4330,plain,(sdtlpdtrp0(xN,sz00)=xS),inference(split_conjunct,[status(thm)],[4329])).
% fof(4374, plain,![X1]:![X2]:((~(aElementOf0(X1,szNzAzT0))|~(aElementOf0(X2,szNzAzT0)))|(~(sdtlseqdt0(X2,X1))|(![X3]:(~(aElementOf0(X3,sdtlpdtrp0(xN,X1)))|aElementOf0(X3,sdtlpdtrp0(xN,X2)))&aSubsetOf0(sdtlpdtrp0(xN,X1),sdtlpdtrp0(xN,X2))))),inference(fof_nnf,[status(thm)],[56])).
% fof(4375, plain,![X4]:![X5]:((~(aElementOf0(X4,szNzAzT0))|~(aElementOf0(X5,szNzAzT0)))|(~(sdtlseqdt0(X5,X4))|(![X6]:(~(aElementOf0(X6,sdtlpdtrp0(xN,X4)))|aElementOf0(X6,sdtlpdtrp0(xN,X5)))&aSubsetOf0(sdtlpdtrp0(xN,X4),sdtlpdtrp0(xN,X5))))),inference(variable_rename,[status(thm)],[4374])).
% fof(4376, plain,![X4]:![X5]:![X6]:((((~(aElementOf0(X6,sdtlpdtrp0(xN,X4)))|aElementOf0(X6,sdtlpdtrp0(xN,X5)))&aSubsetOf0(sdtlpdtrp0(xN,X4),sdtlpdtrp0(xN,X5)))|~(sdtlseqdt0(X5,X4)))|(~(aElementOf0(X4,szNzAzT0))|~(aElementOf0(X5,szNzAzT0)))),inference(shift_quantors,[status(thm)],[4375])).
% fof(4377, plain,![X4]:![X5]:![X6]:((((~(aElementOf0(X6,sdtlpdtrp0(xN,X4)))|aElementOf0(X6,sdtlpdtrp0(xN,X5)))|~(sdtlseqdt0(X5,X4)))|(~(aElementOf0(X4,szNzAzT0))|~(aElementOf0(X5,szNzAzT0))))&((aSubsetOf0(sdtlpdtrp0(xN,X4),sdtlpdtrp0(xN,X5))|~(sdtlseqdt0(X5,X4)))|(~(aElementOf0(X4,szNzAzT0))|~(aElementOf0(X5,szNzAzT0))))),inference(distribute,[status(thm)],[4376])).
% cnf(4379,plain,(aElementOf0(X3,sdtlpdtrp0(xN,X1))|~aElementOf0(X1,szNzAzT0)|~aElementOf0(X2,szNzAzT0)|~sdtlseqdt0(X1,X2)|~aElementOf0(X3,sdtlpdtrp0(xN,X2))),inference(split_conjunct,[status(thm)],[4377])).
% cnf(4390,plain,(aElementOf0(xi,szNzAzT0)),inference(split_conjunct,[status(thm)],[58])).
% fof(4545, negated_conjecture,(?[X1]:(aElementOf0(X1,sdtlpdtrp0(xN,xi))&~(aElementOf0(X1,xS)))&~(aSubsetOf0(sdtlpdtrp0(xN,xi),xS))),inference(fof_nnf,[status(thm)],[89])).
% fof(4546, negated_conjecture,(?[X2]:(aElementOf0(X2,sdtlpdtrp0(xN,xi))&~(aElementOf0(X2,xS)))&~(aSubsetOf0(sdtlpdtrp0(xN,xi),xS))),inference(variable_rename,[status(thm)],[4545])).
% fof(4547, negated_conjecture,((aElementOf0(esk32_0,sdtlpdtrp0(xN,xi))&~(aElementOf0(esk32_0,xS)))&~(aSubsetOf0(sdtlpdtrp0(xN,xi),xS))),inference(skolemize,[status(esa)],[4546])).
% cnf(4549,negated_conjecture,(~aElementOf0(esk32_0,xS)),inference(split_conjunct,[status(thm)],[4547])).
% cnf(4550,negated_conjecture,(aElementOf0(esk32_0,sdtlpdtrp0(xN,xi))),inference(split_conjunct,[status(thm)],[4547])).
% cnf(7815,negated_conjecture,(aElementOf0(esk32_0,sdtlpdtrp0(xN,X1))|~sdtlseqdt0(X1,xi)|~aElementOf0(xi,szNzAzT0)|~aElementOf0(X1,szNzAzT0)),inference(spm,[status(thm)],[4379,4550,theory(equality)])).
% cnf(7825,negated_conjecture,(aElementOf0(esk32_0,sdtlpdtrp0(xN,X1))|~sdtlseqdt0(X1,xi)|$false|~aElementOf0(X1,szNzAzT0)),inference(rw,[status(thm)],[7815,4390,theory(equality)])).
% cnf(7826,negated_conjecture,(aElementOf0(esk32_0,sdtlpdtrp0(xN,X1))|~sdtlseqdt0(X1,xi)|~aElementOf0(X1,szNzAzT0)),inference(cn,[status(thm)],[7825,theory(equality)])).
% cnf(65925,negated_conjecture,(aElementOf0(esk32_0,xS)|~sdtlseqdt0(sz00,xi)|~aElementOf0(sz00,szNzAzT0)),inference(spm,[status(thm)],[7826,4330,theory(equality)])).
% cnf(66008,negated_conjecture,(aElementOf0(esk32_0,xS)|~sdtlseqdt0(sz00,xi)|$false),inference(rw,[status(thm)],[65925,184,theory(equality)])).
% cnf(66009,negated_conjecture,(aElementOf0(esk32_0,xS)|~sdtlseqdt0(sz00,xi)),inference(cn,[status(thm)],[66008,theory(equality)])).
% cnf(66010,negated_conjecture,(~sdtlseqdt0(sz00,xi)),inference(sr,[status(thm)],[66009,4549,theory(equality)])).
% cnf(66032,negated_conjecture,(~aElementOf0(xi,szNzAzT0)),inference(spm,[status(thm)],[66010,204,theory(equality)])).
% cnf(66033,negated_conjecture,($false),inference(rw,[status(thm)],[66032,4390,theory(equality)])).
% cnf(66034,negated_conjecture,($false),inference(cn,[status(thm)],[66033,theory(equality)])).
% cnf(66035,negated_conjecture,($false),66034,['proof']).
% # SZS output end CNFRefutation
% # Processed clauses : 5662
% # ...of these trivial : 10
% # ...subsumed : 339
% # ...remaining for further processing: 5313
% # Other redundant clauses eliminated : 13
% # Clauses deleted for lack of memory : 0
% # Backward-subsumed : 3
% # Backward-rewritten : 1
% # Generated clauses : 50784
% # ...of the previous two non-trivial : 37437
% # Contextual simplify-reflections : 2562
% # Paramodulations : 50744
% # Factorizations : 0
% # Equation resolutions : 40
% # Current number of processed clauses: 2705
% # Positive orientable unit clauses: 58
% # Positive unorientable unit clauses: 0
% # Negative unit clauses : 22
% # Non-unit-clauses : 2625
% # Current number of unprocessed clauses: 37255
% # ...number of literals in the above : 598397
% # Clause-clause subsumption calls (NU) : 484222
% # Rec. Clause-clause subsumption calls : 40093
% # Unit Clause-clause subsumption calls : 17897
% # Rewrite failures with RHS unbound : 0
% # Indexed BW rewrite attempts : 1
% # Indexed BW rewrite successes : 1
% # Backwards rewriting index: 334 leaves, 1.89+/-2.329 terms/leaf
% # Paramod-from index: 158 leaves, 1.04+/-0.222 terms/leaf
% # Paramod-into index: 302 leaves, 1.41+/-1.246 terms/leaf
% # -------------------------------------------------
% # User time : 7.658 s
% # System time : 0.138 s
% # Total time : 7.796 s
% # Maximum resident set size: 0 pages
% PrfWatch: 10.18 CPU 11.04 WC
% FINAL PrfWatch: 10.18 CPU 11.04 WC
% SZS output end Solution for /tmp/SystemOnTPTP10209/NUM582+3.tptp
%
%------------------------------------------------------------------------------