TSTP Solution File: NUM574+3 by SRASS---0.1
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- Process Solution
%------------------------------------------------------------------------------
% File : SRASS---0.1
% Problem : NUM574+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 20:15:20 EST 2010
% Result : Theorem 11.34s
% Output : Solution 11.34s
% 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/SystemOnTPTP32751/NUM574+3.tptp
% Adding relevance values
% Extracting the conjecture
% Sorting axioms by relevance
% Looking for THM ...
% found
% SZS status THM for /tmp/SystemOnTPTP32751/NUM574+3.tptp
% SZS output start Solution for /tmp/SystemOnTPTP32751/NUM574+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 379
% TreeLimitedRun: ----------------------------------------------------------
% PrfWatch: 0.00 CPU 0.00 WC
% PrfWatch: 1.92 CPU 2.01 WC
% PrfWatch: 3.91 CPU 4.01 WC
% PrfWatch: 5.91 CPU 6.02 WC
% # Preprocessing time : 0.544 s
% # Problem is unsatisfiable (or provable), constructing proof object
% # SZS status Theorem
% PrfWatch: 7.90 CPU 8.03 WC
% PrfWatch: 9.89 CPU 10.03 WC
% # SZS output start CNFRefutation.
% fof(15, axiom,![X1]:(aElementOf0(X1,szNzAzT0)=>(X1=sz00|?[X2]:(aElementOf0(X2,szNzAzT0)&X1=szszuzczcdt0(X2)))),file('/tmp/SRASS.s.p', mNatExtra)).
% fof(17, axiom,![X1]:(aElementOf0(X1,szNzAzT0)=>sdtlseqdt0(sz00,X1)),file('/tmp/SRASS.s.p', mZeroLess)).
% fof(22, axiom,![X1]:![X2]:((aElementOf0(X1,szNzAzT0)&aElementOf0(X2,szNzAzT0))=>((sdtlseqdt0(X1,X2)&sdtlseqdt0(X2,X1))=>X1=X2)),file('/tmp/SRASS.s.p', mLessASymm)).
% fof(48, 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(50, axiom,(aElementOf0(xj,szNzAzT0)&aElementOf0(xi,szNzAzT0)),file('/tmp/SRASS.s.p', m__3786)).
% fof(52, axiom,((sdtlseqdt0(xj,xi)&?[X1]:(aElementOf0(X1,szNzAzT0)&szszuzczcdt0(X1)=xi))=>(sdtlseqdt0(xj,xi)=>(![X1]:(aElementOf0(X1,sdtlpdtrp0(xN,xi))=>aElementOf0(X1,sdtlpdtrp0(xN,xj)))&aSubsetOf0(sdtlpdtrp0(xN,xi),sdtlpdtrp0(xN,xj))))),file('/tmp/SRASS.s.p', m__3786_02)).
% fof(86, conjecture,(sdtlseqdt0(xj,xi)=>(![X1]:(aElementOf0(X1,sdtlpdtrp0(xN,xi))=>aElementOf0(X1,sdtlpdtrp0(xN,xj)))|aSubsetOf0(sdtlpdtrp0(xN,xi),sdtlpdtrp0(xN,xj)))),file('/tmp/SRASS.s.p', m__)).
% fof(87, negated_conjecture,~((sdtlseqdt0(xj,xi)=>(![X1]:(aElementOf0(X1,sdtlpdtrp0(xN,xi))=>aElementOf0(X1,sdtlpdtrp0(xN,xj)))|aSubsetOf0(sdtlpdtrp0(xN,xi),sdtlpdtrp0(xN,xj))))),inference(assume_negation,[status(cth)],[86])).
% fof(162, plain,![X1]:(~(aElementOf0(X1,szNzAzT0))|(X1=sz00|?[X2]:(aElementOf0(X2,szNzAzT0)&X1=szszuzczcdt0(X2)))),inference(fof_nnf,[status(thm)],[15])).
% fof(163, plain,![X3]:(~(aElementOf0(X3,szNzAzT0))|(X3=sz00|?[X4]:(aElementOf0(X4,szNzAzT0)&X3=szszuzczcdt0(X4)))),inference(variable_rename,[status(thm)],[162])).
% fof(164, plain,![X3]:(~(aElementOf0(X3,szNzAzT0))|(X3=sz00|(aElementOf0(esk3_1(X3),szNzAzT0)&X3=szszuzczcdt0(esk3_1(X3))))),inference(skolemize,[status(esa)],[163])).
% fof(165, plain,![X3]:(((aElementOf0(esk3_1(X3),szNzAzT0)|X3=sz00)|~(aElementOf0(X3,szNzAzT0)))&((X3=szszuzczcdt0(esk3_1(X3))|X3=sz00)|~(aElementOf0(X3,szNzAzT0)))),inference(distribute,[status(thm)],[164])).
% cnf(166,plain,(X1=sz00|X1=szszuzczcdt0(esk3_1(X1))|~aElementOf0(X1,szNzAzT0)),inference(split_conjunct,[status(thm)],[165])).
% cnf(167,plain,(X1=sz00|aElementOf0(esk3_1(X1),szNzAzT0)|~aElementOf0(X1,szNzAzT0)),inference(split_conjunct,[status(thm)],[165])).
% fof(171, plain,![X1]:(~(aElementOf0(X1,szNzAzT0))|sdtlseqdt0(sz00,X1)),inference(fof_nnf,[status(thm)],[17])).
% fof(172, plain,![X2]:(~(aElementOf0(X2,szNzAzT0))|sdtlseqdt0(sz00,X2)),inference(variable_rename,[status(thm)],[171])).
% cnf(173,plain,(sdtlseqdt0(sz00,X1)|~aElementOf0(X1,szNzAzT0)),inference(split_conjunct,[status(thm)],[172])).
% fof(188, plain,![X1]:![X2]:((~(aElementOf0(X1,szNzAzT0))|~(aElementOf0(X2,szNzAzT0)))|((~(sdtlseqdt0(X1,X2))|~(sdtlseqdt0(X2,X1)))|X1=X2)),inference(fof_nnf,[status(thm)],[22])).
% fof(189, plain,![X3]:![X4]:((~(aElementOf0(X3,szNzAzT0))|~(aElementOf0(X4,szNzAzT0)))|((~(sdtlseqdt0(X3,X4))|~(sdtlseqdt0(X4,X3)))|X3=X4)),inference(variable_rename,[status(thm)],[188])).
% cnf(190,plain,(X1=X2|~sdtlseqdt0(X2,X1)|~sdtlseqdt0(X1,X2)|~aElementOf0(X2,szNzAzT0)|~aElementOf0(X1,szNzAzT0)),inference(split_conjunct,[status(thm)],[189])).
% fof(4290, 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)],[48])).
% fof(4291, 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)],[4290])).
% fof(4292, plain,(((aFunction0(xN)&szDzozmdt0(xN)=szNzAzT0)&sdtlpdtrp0(xN,sz00)=xS)&![X3]:(~(aElementOf0(X3,szNzAzT0))|((((~(aSet0(sdtlpdtrp0(xN,X3)))|(aElementOf0(esk22_1(X3),sdtlpdtrp0(xN,X3))&~(aElementOf0(esk22_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)],[4291])).
% fof(4293, 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(esk22_1(X3),sdtlpdtrp0(xN,X3))&~(aElementOf0(esk22_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)],[4292])).
% fof(4294, plain,![X3]:![X5]:![X6]:![X7]:((((((((((aElementOf0(esk22_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(esk22_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(esk22_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(esk22_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(esk22_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(esk22_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(esk22_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(esk22_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(esk22_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(esk22_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(esk22_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(esk22_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(esk22_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(esk22_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(esk22_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(esk22_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(esk22_1(X3),sdtlpdtrp0(xN,X3))|~(aSet0(sdtlpdtrp0(xN,X3))))|~(isCountable0(sdtlpdtrp0(xN,X3))))|aSet0(sdtlpdtrp0(xN,szszuzczcdt0(X3))))|~(aElementOf0(X3,szNzAzT0)))&((((~(aElementOf0(esk22_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(esk22_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(esk22_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(esk22_1(X3),sdtlpdtrp0(xN,X3))|~(aSet0(sdtlpdtrp0(xN,X3))))|~(isCountable0(sdtlpdtrp0(xN,X3))))|isCountable0(sdtlpdtrp0(xN,szszuzczcdt0(X3))))|~(aElementOf0(X3,szNzAzT0)))&((((~(aElementOf0(esk22_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)],[4293])).
% cnf(4295,plain,(sdtlpdtrp0(xN,sz00)=xS),inference(split_conjunct,[status(thm)],[4294])).
% cnf(4339,plain,(aElementOf0(xi,szNzAzT0)),inference(split_conjunct,[status(thm)],[50])).
% cnf(4340,plain,(aElementOf0(xj,szNzAzT0)),inference(split_conjunct,[status(thm)],[50])).
% fof(4347, plain,((~(sdtlseqdt0(xj,xi))|![X1]:(~(aElementOf0(X1,szNzAzT0))|~(szszuzczcdt0(X1)=xi)))|(~(sdtlseqdt0(xj,xi))|(![X1]:(~(aElementOf0(X1,sdtlpdtrp0(xN,xi)))|aElementOf0(X1,sdtlpdtrp0(xN,xj)))&aSubsetOf0(sdtlpdtrp0(xN,xi),sdtlpdtrp0(xN,xj))))),inference(fof_nnf,[status(thm)],[52])).
% fof(4348, plain,((~(sdtlseqdt0(xj,xi))|![X2]:(~(aElementOf0(X2,szNzAzT0))|~(szszuzczcdt0(X2)=xi)))|(~(sdtlseqdt0(xj,xi))|(![X3]:(~(aElementOf0(X3,sdtlpdtrp0(xN,xi)))|aElementOf0(X3,sdtlpdtrp0(xN,xj)))&aSubsetOf0(sdtlpdtrp0(xN,xi),sdtlpdtrp0(xN,xj))))),inference(variable_rename,[status(thm)],[4347])).
% fof(4349, plain,![X2]:![X3]:((((~(aElementOf0(X3,sdtlpdtrp0(xN,xi)))|aElementOf0(X3,sdtlpdtrp0(xN,xj)))&aSubsetOf0(sdtlpdtrp0(xN,xi),sdtlpdtrp0(xN,xj)))|~(sdtlseqdt0(xj,xi)))|((~(aElementOf0(X2,szNzAzT0))|~(szszuzczcdt0(X2)=xi))|~(sdtlseqdt0(xj,xi)))),inference(shift_quantors,[status(thm)],[4348])).
% fof(4350, plain,![X2]:![X3]:((((~(aElementOf0(X3,sdtlpdtrp0(xN,xi)))|aElementOf0(X3,sdtlpdtrp0(xN,xj)))|~(sdtlseqdt0(xj,xi)))|((~(aElementOf0(X2,szNzAzT0))|~(szszuzczcdt0(X2)=xi))|~(sdtlseqdt0(xj,xi))))&((aSubsetOf0(sdtlpdtrp0(xN,xi),sdtlpdtrp0(xN,xj))|~(sdtlseqdt0(xj,xi)))|((~(aElementOf0(X2,szNzAzT0))|~(szszuzczcdt0(X2)=xi))|~(sdtlseqdt0(xj,xi))))),inference(distribute,[status(thm)],[4349])).
% cnf(4351,plain,(aSubsetOf0(sdtlpdtrp0(xN,xi),sdtlpdtrp0(xN,xj))|~sdtlseqdt0(xj,xi)|szszuzczcdt0(X1)!=xi|~aElementOf0(X1,szNzAzT0)|~sdtlseqdt0(xj,xi)),inference(split_conjunct,[status(thm)],[4350])).
% fof(4512, negated_conjecture,(sdtlseqdt0(xj,xi)&(?[X1]:(aElementOf0(X1,sdtlpdtrp0(xN,xi))&~(aElementOf0(X1,sdtlpdtrp0(xN,xj))))&~(aSubsetOf0(sdtlpdtrp0(xN,xi),sdtlpdtrp0(xN,xj))))),inference(fof_nnf,[status(thm)],[87])).
% fof(4513, negated_conjecture,(sdtlseqdt0(xj,xi)&(?[X2]:(aElementOf0(X2,sdtlpdtrp0(xN,xi))&~(aElementOf0(X2,sdtlpdtrp0(xN,xj))))&~(aSubsetOf0(sdtlpdtrp0(xN,xi),sdtlpdtrp0(xN,xj))))),inference(variable_rename,[status(thm)],[4512])).
% fof(4514, negated_conjecture,(sdtlseqdt0(xj,xi)&((aElementOf0(esk31_0,sdtlpdtrp0(xN,xi))&~(aElementOf0(esk31_0,sdtlpdtrp0(xN,xj))))&~(aSubsetOf0(sdtlpdtrp0(xN,xi),sdtlpdtrp0(xN,xj))))),inference(skolemize,[status(esa)],[4513])).
% cnf(4515,negated_conjecture,(~aSubsetOf0(sdtlpdtrp0(xN,xi),sdtlpdtrp0(xN,xj))),inference(split_conjunct,[status(thm)],[4514])).
% cnf(4516,negated_conjecture,(~aElementOf0(esk31_0,sdtlpdtrp0(xN,xj))),inference(split_conjunct,[status(thm)],[4514])).
% cnf(4517,negated_conjecture,(aElementOf0(esk31_0,sdtlpdtrp0(xN,xi))),inference(split_conjunct,[status(thm)],[4514])).
% cnf(4518,negated_conjecture,(sdtlseqdt0(xj,xi)),inference(split_conjunct,[status(thm)],[4514])).
% cnf(4521,plain,(aSubsetOf0(sdtlpdtrp0(xN,xi),sdtlpdtrp0(xN,xj))|szszuzczcdt0(X1)!=xi|~aElementOf0(X1,szNzAzT0)|$false),inference(rw,[status(thm)],[4351,4518,theory(equality)])).
% cnf(4522,plain,(aSubsetOf0(sdtlpdtrp0(xN,xi),sdtlpdtrp0(xN,xj))|szszuzczcdt0(X1)!=xi|~aElementOf0(X1,szNzAzT0)),inference(cn,[status(thm)],[4521,theory(equality)])).
% cnf(4523,plain,(szszuzczcdt0(X1)!=xi|~aElementOf0(X1,szNzAzT0)),inference(sr,[status(thm)],[4522,4515,theory(equality)])).
% cnf(7214,plain,(sz00=X1|X1!=xi|~aElementOf0(esk3_1(X1),szNzAzT0)|~aElementOf0(X1,szNzAzT0)),inference(spm,[status(thm)],[4523,166,theory(equality)])).
% cnf(7333,negated_conjecture,(xi=xj|~sdtlseqdt0(xi,xj)|~aElementOf0(xj,szNzAzT0)|~aElementOf0(xi,szNzAzT0)),inference(spm,[status(thm)],[190,4518,theory(equality)])).
% cnf(7337,negated_conjecture,(xi=xj|~sdtlseqdt0(xi,xj)|$false|~aElementOf0(xi,szNzAzT0)),inference(rw,[status(thm)],[7333,4340,theory(equality)])).
% cnf(7338,negated_conjecture,(xi=xj|~sdtlseqdt0(xi,xj)|$false|$false),inference(rw,[status(thm)],[7337,4339,theory(equality)])).
% cnf(7339,negated_conjecture,(xi=xj|~sdtlseqdt0(xi,xj)),inference(cn,[status(thm)],[7338,theory(equality)])).
% cnf(63569,plain,(sz00=X1|X1!=xi|~aElementOf0(X1,szNzAzT0)),inference(csr,[status(thm)],[7214,167])).
% cnf(63585,plain,(sz00=xi),inference(spm,[status(thm)],[63569,4339,theory(equality)])).
% cnf(63624,plain,(sdtlpdtrp0(xN,xi)=xS),inference(rw,[status(thm)],[4295,63585,theory(equality)])).
% cnf(63629,plain,(sdtlseqdt0(xi,X1)|~aElementOf0(X1,szNzAzT0)),inference(rw,[status(thm)],[173,63585,theory(equality)])).
% cnf(63661,negated_conjecture,(aElementOf0(esk31_0,xS)),inference(rw,[status(thm)],[4517,63624,theory(equality)])).
% cnf(63920,negated_conjecture,(xi=xj|~aElementOf0(xj,szNzAzT0)),inference(spm,[status(thm)],[7339,63629,theory(equality)])).
% cnf(63932,negated_conjecture,(xi=xj|$false),inference(rw,[status(thm)],[63920,4340,theory(equality)])).
% cnf(63933,negated_conjecture,(xi=xj),inference(cn,[status(thm)],[63932,theory(equality)])).
% cnf(63958,plain,(sdtlpdtrp0(xN,xj)=xS),inference(rw,[status(thm)],[63624,63933,theory(equality)])).
% cnf(63993,negated_conjecture,($false),inference(rw,[status(thm)],[inference(rw,[status(thm)],[4516,63958,theory(equality)]),63661,theory(equality)])).
% cnf(63994,negated_conjecture,($false),inference(cn,[status(thm)],[63993,theory(equality)])).
% cnf(63995,negated_conjecture,($false),63994,['proof']).
% # SZS output end CNFRefutation
% # Processed clauses : 5712
% # ...of these trivial : 7
% # ...subsumed : 361
% # ...remaining for further processing: 5344
% # Other redundant clauses eliminated : 13
% # Clauses deleted for lack of memory : 0
% # Backward-subsumed : 5
% # Backward-rewritten : 80
% # Generated clauses : 49923
% # ...of the previous two non-trivial : 36614
% # Contextual simplify-reflections : 2571
% # Paramodulations : 49884
% # Factorizations : 0
% # Equation resolutions : 39
% # Current number of processed clauses: 2673
% # Positive orientable unit clauses: 55
% # Positive unorientable unit clauses: 0
% # Negative unit clauses : 20
% # Non-unit-clauses : 2598
% # Current number of unprocessed clauses: 36014
% # ...number of literals in the above : 584382
% # Clause-clause subsumption calls (NU) : 429028
% # Rec. Clause-clause subsumption calls : 39852
% # Unit Clause-clause subsumption calls : 32209
% # Rewrite failures with RHS unbound : 0
% # Indexed BW rewrite attempts : 8
% # Indexed BW rewrite successes : 8
% # Backwards rewriting index: 321 leaves, 1.90+/-2.367 terms/leaf
% # Paramod-from index: 153 leaves, 1.02+/-0.139 terms/leaf
% # Paramod-into index: 286 leaves, 1.41+/-1.267 terms/leaf
% # -------------------------------------------------
% # User time : 7.452 s
% # System time : 0.151 s
% # Total time : 7.603 s
% # Maximum resident set size: 0 pages
% PrfWatch: 10.32 CPU 10.46 WC
% FINAL PrfWatch: 10.32 CPU 10.46 WC
% SZS output end Solution for /tmp/SystemOnTPTP32751/NUM574+3.tptp
%
%------------------------------------------------------------------------------