TSTP Solution File: NUM603+3 by SRASS---0.1

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SRASS---0.1
% Problem  : NUM603+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 : art11.cs.miami.edu
% Model    : i686 i686
% CPU      : Intel(R) Pentium(R) 4 CPU 3.00GHz @ 3000MHz
% Memory   : 2006MB
% OS       : Linux 2.6.31.5-127.fc12.i686.PAE
% CPULimit : 300s
% DateTime : Wed Dec 29 20:39:59 EST 2010

% Result   : Theorem 13.98s
% Output   : Solution 13.98s
% 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/SystemOnTPTP11839/NUM603+3.tptp
% Adding relevance values
% Extracting the conjecture
% Sorting axioms by relevance
% Looking for THM       ... 
% found
% SZS status THM for /tmp/SystemOnTPTP11839/NUM603+3.tptp
% SZS output start Solution for /tmp/SystemOnTPTP11839/NUM603+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 11971
% TreeLimitedRun: ----------------------------------------------------------
% PrfWatch: 0.00 CPU 0.01 WC
% PrfWatch: 1.94 CPU 2.01 WC
% PrfWatch: 3.93 CPU 4.02 WC
% PrfWatch: 5.93 CPU 6.03 WC
% PrfWatch: 7.92 CPU 8.03 WC
% PrfWatch: 9.91 CPU 10.04 WC
% # Preprocessing time     : 0.576 s
% # Problem is unsatisfiable (or provable), constructing proof object
% # SZS status Theorem
% PrfWatch: 11.91 CPU 12.05 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(57, 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(59, 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(75, axiom,(aElementOf0(xi,szNzAzT0)&sdtlpdtrp0(xe,xi)=xx),file('/tmp/SRASS.s.p', m__5034)).
% fof(100, conjecture,(![X1]:(aElementOf0(X1,sdtlpdtrp0(xN,xi))=>aElementOf0(X1,xS))|aSubsetOf0(sdtlpdtrp0(xN,xi),xS)),file('/tmp/SRASS.s.p', m__)).
% fof(101, negated_conjecture,~((![X1]:(aElementOf0(X1,sdtlpdtrp0(xN,xi))=>aElementOf0(X1,xS))|aSubsetOf0(sdtlpdtrp0(xN,xi),xS))),inference(assume_negation,[status(cth)],[100])).
% cnf(204,plain,(aElementOf0(sz00,szNzAzT0)),inference(split_conjunct,[status(thm)],[17])).
% fof(222, plain,![X1]:(~(aElementOf0(X1,szNzAzT0))|sdtlseqdt0(sz00,X1)),inference(fof_nnf,[status(thm)],[22])).
% fof(223, plain,![X2]:(~(aElementOf0(X2,szNzAzT0))|sdtlseqdt0(sz00,X2)),inference(variable_rename,[status(thm)],[222])).
% cnf(224,plain,(sdtlseqdt0(sz00,X1)|~aElementOf0(X1,szNzAzT0)),inference(split_conjunct,[status(thm)],[223])).
% fof(4365, 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)],[57])).
% fof(4366, 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)],[4365])).
% fof(4367, plain,(((aFunction0(xN)&szDzozmdt0(xN)=szNzAzT0)&sdtlpdtrp0(xN,sz00)=xS)&![X3]:(~(aElementOf0(X3,szNzAzT0))|((((~(aSet0(sdtlpdtrp0(xN,X3)))|(aElementOf0(esk24_1(X3),sdtlpdtrp0(xN,X3))&~(aElementOf0(esk24_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)],[4366])).
% fof(4368, 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(esk24_1(X3),sdtlpdtrp0(xN,X3))&~(aElementOf0(esk24_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)],[4367])).
% fof(4369, plain,![X3]:![X5]:![X6]:![X7]:((((((((((aElementOf0(esk24_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(esk24_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(esk24_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(esk24_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(esk24_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(esk24_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(esk24_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(esk24_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(esk24_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(esk24_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(esk24_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(esk24_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(esk24_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(esk24_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(esk24_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(esk24_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(esk24_1(X3),sdtlpdtrp0(xN,X3))|~(aSet0(sdtlpdtrp0(xN,X3))))|~(isCountable0(sdtlpdtrp0(xN,X3))))|aSet0(sdtlpdtrp0(xN,szszuzczcdt0(X3))))|~(aElementOf0(X3,szNzAzT0)))&((((~(aElementOf0(esk24_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(esk24_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(esk24_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(esk24_1(X3),sdtlpdtrp0(xN,X3))|~(aSet0(sdtlpdtrp0(xN,X3))))|~(isCountable0(sdtlpdtrp0(xN,X3))))|isCountable0(sdtlpdtrp0(xN,szszuzczcdt0(X3))))|~(aElementOf0(X3,szNzAzT0)))&((((~(aElementOf0(esk24_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)],[4368])).
% cnf(4370,plain,(sdtlpdtrp0(xN,sz00)=xS),inference(split_conjunct,[status(thm)],[4369])).
% fof(4414, 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)],[59])).
% fof(4415, 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)],[4414])).
% fof(4416, 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)],[4415])).
% fof(4417, 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)],[4416])).
% cnf(4419,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)],[4417])).
% cnf(4541,plain,(aElementOf0(xi,szNzAzT0)),inference(split_conjunct,[status(thm)],[75])).
% fof(4648, negated_conjecture,(?[X1]:(aElementOf0(X1,sdtlpdtrp0(xN,xi))&~(aElementOf0(X1,xS)))&~(aSubsetOf0(sdtlpdtrp0(xN,xi),xS))),inference(fof_nnf,[status(thm)],[101])).
% fof(4649, negated_conjecture,(?[X2]:(aElementOf0(X2,sdtlpdtrp0(xN,xi))&~(aElementOf0(X2,xS)))&~(aSubsetOf0(sdtlpdtrp0(xN,xi),xS))),inference(variable_rename,[status(thm)],[4648])).
% fof(4650, negated_conjecture,((aElementOf0(esk40_0,sdtlpdtrp0(xN,xi))&~(aElementOf0(esk40_0,xS)))&~(aSubsetOf0(sdtlpdtrp0(xN,xi),xS))),inference(skolemize,[status(esa)],[4649])).
% cnf(4652,negated_conjecture,(~aElementOf0(esk40_0,xS)),inference(split_conjunct,[status(thm)],[4650])).
% cnf(4653,negated_conjecture,(aElementOf0(esk40_0,sdtlpdtrp0(xN,xi))),inference(split_conjunct,[status(thm)],[4650])).
% cnf(9382,negated_conjecture,(aElementOf0(esk40_0,sdtlpdtrp0(xN,X1))|~sdtlseqdt0(X1,xi)|~aElementOf0(xi,szNzAzT0)|~aElementOf0(X1,szNzAzT0)),inference(spm,[status(thm)],[4419,4653,theory(equality)])).
% cnf(9394,negated_conjecture,(aElementOf0(esk40_0,sdtlpdtrp0(xN,X1))|~sdtlseqdt0(X1,xi)|$false|~aElementOf0(X1,szNzAzT0)),inference(rw,[status(thm)],[9382,4541,theory(equality)])).
% cnf(9395,negated_conjecture,(aElementOf0(esk40_0,sdtlpdtrp0(xN,X1))|~sdtlseqdt0(X1,xi)|~aElementOf0(X1,szNzAzT0)),inference(cn,[status(thm)],[9394,theory(equality)])).
% cnf(85824,negated_conjecture,(aElementOf0(esk40_0,sdtlpdtrp0(xN,sz00))|~aElementOf0(sz00,szNzAzT0)|~aElementOf0(xi,szNzAzT0)),inference(spm,[status(thm)],[9395,224,theory(equality)])).
% cnf(85835,negated_conjecture,(aElementOf0(esk40_0,xS)|~aElementOf0(sz00,szNzAzT0)|~aElementOf0(xi,szNzAzT0)),inference(rw,[status(thm)],[85824,4370,theory(equality)])).
% cnf(85836,negated_conjecture,(aElementOf0(esk40_0,xS)|$false|~aElementOf0(xi,szNzAzT0)),inference(rw,[status(thm)],[85835,204,theory(equality)])).
% cnf(85837,negated_conjecture,(aElementOf0(esk40_0,xS)|$false|$false),inference(rw,[status(thm)],[85836,4541,theory(equality)])).
% cnf(85838,negated_conjecture,(aElementOf0(esk40_0,xS)),inference(cn,[status(thm)],[85837,theory(equality)])).
% cnf(85839,negated_conjecture,($false),inference(sr,[status(thm)],[85838,4652,theory(equality)])).
% cnf(85840,negated_conjecture,($false),85839,['proof']).
% # SZS output end CNFRefutation
% # Processed clauses                  : 6982
% # ...of these trivial                : 26
% # ...subsumed                        : 692
% # ...remaining for further processing: 6264
% # Other redundant clauses eliminated : 15
% # Clauses deleted for lack of memory : 0
% # Backward-subsumed                  : 9
% # Backward-rewritten                 : 27
% # Generated clauses                  : 59322
% # ...of the previous two non-trivial : 50591
% # Contextual simplify-reflections    : 3136
% # Paramodulations                    : 59270
% # Factorizations                     : 0
% # Equation resolutions               : 47
% # Current number of processed clauses: 3201
% #    Positive orientable unit clauses: 86
% #    Positive unorientable unit clauses: 0
% #    Negative unit clauses           : 29
% #    Non-unit-clauses                : 3086
% # Current number of unprocessed clauses: 49815
% # ...number of literals in the above : 733685
% # Clause-clause subsumption calls (NU) : 1665015
% # Rec. Clause-clause subsumption calls : 45614
% # Unit Clause-clause subsumption calls : 44670
% # Rewrite failures with RHS unbound  : 0
% # Indexed BW rewrite attempts        : 6
% # Indexed BW rewrite successes       : 4
% # Backwards rewriting index:   487 leaves,   1.97+/-2.596 terms/leaf
% # Paramod-from index:          238 leaves,   1.02+/-0.143 terms/leaf
% # Paramod-into index:          443 leaves,   1.46+/-1.374 terms/leaf
% # -------------------------------------------------
% # User time              : 9.801 s
% # System time            : 0.180 s
% # Total time             : 9.980 s
% # Maximum resident set size: 0 pages
% PrfWatch: 12.68 CPU 12.83 WC
% FINAL PrfWatch: 12.68 CPU 12.83 WC
% SZS output end Solution for /tmp/SystemOnTPTP11839/NUM603+3.tptp
% 
%------------------------------------------------------------------------------