TSTP Solution File: NUM583+3 by SRASS---0.1
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- Process Solution
%------------------------------------------------------------------------------
% File : SRASS---0.1
% Problem : NUM583+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 : art03.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 20:20:12 EST 2010
% Result : Theorem 11.50s
% Output : Solution 11.50s
% 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/SystemOnTPTP3142/NUM583+3.tptp
% Adding relevance values
% Extracting the conjecture
% Sorting axioms by relevance
% Looking for THM ...
% found
% SZS status THM for /tmp/SystemOnTPTP3142/NUM583+3.tptp
% SZS output start Solution for /tmp/SystemOnTPTP3142/NUM583+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 3238
% 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 : 0.541 s
% # Problem is unsatisfiable (or provable), constructing proof object
% # SZS status Theorem
% PrfWatch: 7.89 CPU 8.02 WC
% PrfWatch: 9.88 CPU 10.03 WC
% # SZS output start CNFRefutation.
% fof(59, axiom,((((((((aElementOf0(szmzizndt0(sdtlpdtrp0(xN,xi)),sdtlpdtrp0(xN,xi))&![X1]:(aElementOf0(X1,sdtlpdtrp0(xN,xi))=>sdtlseqdt0(szmzizndt0(sdtlpdtrp0(xN,xi)),X1)))&aSet0(sdtmndt0(sdtlpdtrp0(xN,xi),szmzizndt0(sdtlpdtrp0(xN,xi)))))&![X1]:(aElementOf0(X1,sdtmndt0(sdtlpdtrp0(xN,xi),szmzizndt0(sdtlpdtrp0(xN,xi))))<=>((aElement0(X1)&aElementOf0(X1,sdtlpdtrp0(xN,xi)))&~(X1=szmzizndt0(sdtlpdtrp0(xN,xi))))))&aSet0(xQ))&![X1]:(aElementOf0(X1,xQ)=>aElementOf0(X1,sdtmndt0(sdtlpdtrp0(xN,xi),szmzizndt0(sdtlpdtrp0(xN,xi))))))&aSubsetOf0(xQ,sdtmndt0(sdtlpdtrp0(xN,xi),szmzizndt0(sdtlpdtrp0(xN,xi)))))&sbrdtbr0(xQ)=xk)&aElementOf0(xQ,slbdtsldtrb0(sdtmndt0(sdtlpdtrp0(xN,xi),szmzizndt0(sdtlpdtrp0(xN,xi))),xk))),file('/tmp/SRASS.s.p', m__3989_02)).
% fof(60, axiom,((((aElementOf0(szmzizndt0(sdtlpdtrp0(xN,xi)),sdtlpdtrp0(xN,xi))&![X1]:(aElementOf0(X1,sdtlpdtrp0(xN,xi))=>sdtlseqdt0(szmzizndt0(sdtlpdtrp0(xN,xi)),X1)))&aSet0(sdtpldt0(xQ,szmzizndt0(sdtlpdtrp0(xN,xi)))))&![X1]:(aElementOf0(X1,sdtpldt0(xQ,szmzizndt0(sdtlpdtrp0(xN,xi))))<=>(aElement0(X1)&(aElementOf0(X1,xQ)|X1=szmzizndt0(sdtlpdtrp0(xN,xi))))))&sbrdtbr0(sdtpldt0(xQ,szmzizndt0(sdtlpdtrp0(xN,xi))))=xK),file('/tmp/SRASS.s.p', m__4007)).
% fof(61, axiom,(![X1]:(aElementOf0(X1,sdtlpdtrp0(xN,xi))=>aElementOf0(X1,xS))&aSubsetOf0(sdtlpdtrp0(xN,xi),xS)),file('/tmp/SRASS.s.p', m__4037)).
% fof(89, conjecture,((aElementOf0(szmzizndt0(sdtlpdtrp0(xN,xi)),sdtlpdtrp0(xN,xi))&![X1]:(aElementOf0(X1,sdtlpdtrp0(xN,xi))=>sdtlseqdt0(szmzizndt0(sdtlpdtrp0(xN,xi)),X1)))=>((aSet0(sdtpldt0(xQ,szmzizndt0(sdtlpdtrp0(xN,xi))))&![X1]:(aElementOf0(X1,sdtpldt0(xQ,szmzizndt0(sdtlpdtrp0(xN,xi))))<=>(aElement0(X1)&(aElementOf0(X1,xQ)|X1=szmzizndt0(sdtlpdtrp0(xN,xi))))))=>(![X1]:(aElementOf0(X1,sdtpldt0(xQ,szmzizndt0(sdtlpdtrp0(xN,xi))))=>aElementOf0(X1,xS))|aSubsetOf0(sdtpldt0(xQ,szmzizndt0(sdtlpdtrp0(xN,xi))),xS)))),file('/tmp/SRASS.s.p', m__)).
% fof(90, negated_conjecture,~(((aElementOf0(szmzizndt0(sdtlpdtrp0(xN,xi)),sdtlpdtrp0(xN,xi))&![X1]:(aElementOf0(X1,sdtlpdtrp0(xN,xi))=>sdtlseqdt0(szmzizndt0(sdtlpdtrp0(xN,xi)),X1)))=>((aSet0(sdtpldt0(xQ,szmzizndt0(sdtlpdtrp0(xN,xi))))&![X1]:(aElementOf0(X1,sdtpldt0(xQ,szmzizndt0(sdtlpdtrp0(xN,xi))))<=>(aElement0(X1)&(aElementOf0(X1,xQ)|X1=szmzizndt0(sdtlpdtrp0(xN,xi))))))=>(![X1]:(aElementOf0(X1,sdtpldt0(xQ,szmzizndt0(sdtlpdtrp0(xN,xi))))=>aElementOf0(X1,xS))|aSubsetOf0(sdtpldt0(xQ,szmzizndt0(sdtlpdtrp0(xN,xi))),xS))))),inference(assume_negation,[status(cth)],[89])).
% fof(4392, plain,((((((((aElementOf0(szmzizndt0(sdtlpdtrp0(xN,xi)),sdtlpdtrp0(xN,xi))&![X1]:(~(aElementOf0(X1,sdtlpdtrp0(xN,xi)))|sdtlseqdt0(szmzizndt0(sdtlpdtrp0(xN,xi)),X1)))&aSet0(sdtmndt0(sdtlpdtrp0(xN,xi),szmzizndt0(sdtlpdtrp0(xN,xi)))))&![X1]:((~(aElementOf0(X1,sdtmndt0(sdtlpdtrp0(xN,xi),szmzizndt0(sdtlpdtrp0(xN,xi)))))|((aElement0(X1)&aElementOf0(X1,sdtlpdtrp0(xN,xi)))&~(X1=szmzizndt0(sdtlpdtrp0(xN,xi)))))&(((~(aElement0(X1))|~(aElementOf0(X1,sdtlpdtrp0(xN,xi))))|X1=szmzizndt0(sdtlpdtrp0(xN,xi)))|aElementOf0(X1,sdtmndt0(sdtlpdtrp0(xN,xi),szmzizndt0(sdtlpdtrp0(xN,xi)))))))&aSet0(xQ))&![X1]:(~(aElementOf0(X1,xQ))|aElementOf0(X1,sdtmndt0(sdtlpdtrp0(xN,xi),szmzizndt0(sdtlpdtrp0(xN,xi))))))&aSubsetOf0(xQ,sdtmndt0(sdtlpdtrp0(xN,xi),szmzizndt0(sdtlpdtrp0(xN,xi)))))&sbrdtbr0(xQ)=xk)&aElementOf0(xQ,slbdtsldtrb0(sdtmndt0(sdtlpdtrp0(xN,xi),szmzizndt0(sdtlpdtrp0(xN,xi))),xk))),inference(fof_nnf,[status(thm)],[59])).
% fof(4393, plain,((((((((aElementOf0(szmzizndt0(sdtlpdtrp0(xN,xi)),sdtlpdtrp0(xN,xi))&![X2]:(~(aElementOf0(X2,sdtlpdtrp0(xN,xi)))|sdtlseqdt0(szmzizndt0(sdtlpdtrp0(xN,xi)),X2)))&aSet0(sdtmndt0(sdtlpdtrp0(xN,xi),szmzizndt0(sdtlpdtrp0(xN,xi)))))&![X3]:((~(aElementOf0(X3,sdtmndt0(sdtlpdtrp0(xN,xi),szmzizndt0(sdtlpdtrp0(xN,xi)))))|((aElement0(X3)&aElementOf0(X3,sdtlpdtrp0(xN,xi)))&~(X3=szmzizndt0(sdtlpdtrp0(xN,xi)))))&(((~(aElement0(X3))|~(aElementOf0(X3,sdtlpdtrp0(xN,xi))))|X3=szmzizndt0(sdtlpdtrp0(xN,xi)))|aElementOf0(X3,sdtmndt0(sdtlpdtrp0(xN,xi),szmzizndt0(sdtlpdtrp0(xN,xi)))))))&aSet0(xQ))&![X4]:(~(aElementOf0(X4,xQ))|aElementOf0(X4,sdtmndt0(sdtlpdtrp0(xN,xi),szmzizndt0(sdtlpdtrp0(xN,xi))))))&aSubsetOf0(xQ,sdtmndt0(sdtlpdtrp0(xN,xi),szmzizndt0(sdtlpdtrp0(xN,xi)))))&sbrdtbr0(xQ)=xk)&aElementOf0(xQ,slbdtsldtrb0(sdtmndt0(sdtlpdtrp0(xN,xi),szmzizndt0(sdtlpdtrp0(xN,xi))),xk))),inference(variable_rename,[status(thm)],[4392])).
% fof(4394, plain,![X2]:![X3]:![X4]:(((((~(aElementOf0(X4,xQ))|aElementOf0(X4,sdtmndt0(sdtlpdtrp0(xN,xi),szmzizndt0(sdtlpdtrp0(xN,xi)))))&((((~(aElementOf0(X3,sdtmndt0(sdtlpdtrp0(xN,xi),szmzizndt0(sdtlpdtrp0(xN,xi)))))|((aElement0(X3)&aElementOf0(X3,sdtlpdtrp0(xN,xi)))&~(X3=szmzizndt0(sdtlpdtrp0(xN,xi)))))&(((~(aElement0(X3))|~(aElementOf0(X3,sdtlpdtrp0(xN,xi))))|X3=szmzizndt0(sdtlpdtrp0(xN,xi)))|aElementOf0(X3,sdtmndt0(sdtlpdtrp0(xN,xi),szmzizndt0(sdtlpdtrp0(xN,xi))))))&(((~(aElementOf0(X2,sdtlpdtrp0(xN,xi)))|sdtlseqdt0(szmzizndt0(sdtlpdtrp0(xN,xi)),X2))&aElementOf0(szmzizndt0(sdtlpdtrp0(xN,xi)),sdtlpdtrp0(xN,xi)))&aSet0(sdtmndt0(sdtlpdtrp0(xN,xi),szmzizndt0(sdtlpdtrp0(xN,xi))))))&aSet0(xQ)))&aSubsetOf0(xQ,sdtmndt0(sdtlpdtrp0(xN,xi),szmzizndt0(sdtlpdtrp0(xN,xi)))))&sbrdtbr0(xQ)=xk)&aElementOf0(xQ,slbdtsldtrb0(sdtmndt0(sdtlpdtrp0(xN,xi),szmzizndt0(sdtlpdtrp0(xN,xi))),xk))),inference(shift_quantors,[status(thm)],[4393])).
% fof(4395, plain,![X2]:![X3]:![X4]:(((((~(aElementOf0(X4,xQ))|aElementOf0(X4,sdtmndt0(sdtlpdtrp0(xN,xi),szmzizndt0(sdtlpdtrp0(xN,xi)))))&((((((aElement0(X3)|~(aElementOf0(X3,sdtmndt0(sdtlpdtrp0(xN,xi),szmzizndt0(sdtlpdtrp0(xN,xi))))))&(aElementOf0(X3,sdtlpdtrp0(xN,xi))|~(aElementOf0(X3,sdtmndt0(sdtlpdtrp0(xN,xi),szmzizndt0(sdtlpdtrp0(xN,xi)))))))&(~(X3=szmzizndt0(sdtlpdtrp0(xN,xi)))|~(aElementOf0(X3,sdtmndt0(sdtlpdtrp0(xN,xi),szmzizndt0(sdtlpdtrp0(xN,xi)))))))&(((~(aElement0(X3))|~(aElementOf0(X3,sdtlpdtrp0(xN,xi))))|X3=szmzizndt0(sdtlpdtrp0(xN,xi)))|aElementOf0(X3,sdtmndt0(sdtlpdtrp0(xN,xi),szmzizndt0(sdtlpdtrp0(xN,xi))))))&(((~(aElementOf0(X2,sdtlpdtrp0(xN,xi)))|sdtlseqdt0(szmzizndt0(sdtlpdtrp0(xN,xi)),X2))&aElementOf0(szmzizndt0(sdtlpdtrp0(xN,xi)),sdtlpdtrp0(xN,xi)))&aSet0(sdtmndt0(sdtlpdtrp0(xN,xi),szmzizndt0(sdtlpdtrp0(xN,xi))))))&aSet0(xQ)))&aSubsetOf0(xQ,sdtmndt0(sdtlpdtrp0(xN,xi),szmzizndt0(sdtlpdtrp0(xN,xi)))))&sbrdtbr0(xQ)=xk)&aElementOf0(xQ,slbdtsldtrb0(sdtmndt0(sdtlpdtrp0(xN,xi),szmzizndt0(sdtlpdtrp0(xN,xi))),xk))),inference(distribute,[status(thm)],[4394])).
% cnf(4401,plain,(aElementOf0(szmzizndt0(sdtlpdtrp0(xN,xi)),sdtlpdtrp0(xN,xi))),inference(split_conjunct,[status(thm)],[4395])).
% cnf(4405,plain,(aElementOf0(X1,sdtlpdtrp0(xN,xi))|~aElementOf0(X1,sdtmndt0(sdtlpdtrp0(xN,xi),szmzizndt0(sdtlpdtrp0(xN,xi))))),inference(split_conjunct,[status(thm)],[4395])).
% cnf(4407,plain,(aElementOf0(X1,sdtmndt0(sdtlpdtrp0(xN,xi),szmzizndt0(sdtlpdtrp0(xN,xi))))|~aElementOf0(X1,xQ)),inference(split_conjunct,[status(thm)],[4395])).
% fof(4408, plain,((((aElementOf0(szmzizndt0(sdtlpdtrp0(xN,xi)),sdtlpdtrp0(xN,xi))&![X1]:(~(aElementOf0(X1,sdtlpdtrp0(xN,xi)))|sdtlseqdt0(szmzizndt0(sdtlpdtrp0(xN,xi)),X1)))&aSet0(sdtpldt0(xQ,szmzizndt0(sdtlpdtrp0(xN,xi)))))&![X1]:((~(aElementOf0(X1,sdtpldt0(xQ,szmzizndt0(sdtlpdtrp0(xN,xi)))))|(aElement0(X1)&(aElementOf0(X1,xQ)|X1=szmzizndt0(sdtlpdtrp0(xN,xi)))))&((~(aElement0(X1))|(~(aElementOf0(X1,xQ))&~(X1=szmzizndt0(sdtlpdtrp0(xN,xi)))))|aElementOf0(X1,sdtpldt0(xQ,szmzizndt0(sdtlpdtrp0(xN,xi)))))))&sbrdtbr0(sdtpldt0(xQ,szmzizndt0(sdtlpdtrp0(xN,xi))))=xK),inference(fof_nnf,[status(thm)],[60])).
% fof(4409, plain,((((aElementOf0(szmzizndt0(sdtlpdtrp0(xN,xi)),sdtlpdtrp0(xN,xi))&![X2]:(~(aElementOf0(X2,sdtlpdtrp0(xN,xi)))|sdtlseqdt0(szmzizndt0(sdtlpdtrp0(xN,xi)),X2)))&aSet0(sdtpldt0(xQ,szmzizndt0(sdtlpdtrp0(xN,xi)))))&![X3]:((~(aElementOf0(X3,sdtpldt0(xQ,szmzizndt0(sdtlpdtrp0(xN,xi)))))|(aElement0(X3)&(aElementOf0(X3,xQ)|X3=szmzizndt0(sdtlpdtrp0(xN,xi)))))&((~(aElement0(X3))|(~(aElementOf0(X3,xQ))&~(X3=szmzizndt0(sdtlpdtrp0(xN,xi)))))|aElementOf0(X3,sdtpldt0(xQ,szmzizndt0(sdtlpdtrp0(xN,xi)))))))&sbrdtbr0(sdtpldt0(xQ,szmzizndt0(sdtlpdtrp0(xN,xi))))=xK),inference(variable_rename,[status(thm)],[4408])).
% fof(4410, plain,![X2]:![X3]:((((~(aElementOf0(X3,sdtpldt0(xQ,szmzizndt0(sdtlpdtrp0(xN,xi)))))|(aElement0(X3)&(aElementOf0(X3,xQ)|X3=szmzizndt0(sdtlpdtrp0(xN,xi)))))&((~(aElement0(X3))|(~(aElementOf0(X3,xQ))&~(X3=szmzizndt0(sdtlpdtrp0(xN,xi)))))|aElementOf0(X3,sdtpldt0(xQ,szmzizndt0(sdtlpdtrp0(xN,xi))))))&(((~(aElementOf0(X2,sdtlpdtrp0(xN,xi)))|sdtlseqdt0(szmzizndt0(sdtlpdtrp0(xN,xi)),X2))&aElementOf0(szmzizndt0(sdtlpdtrp0(xN,xi)),sdtlpdtrp0(xN,xi)))&aSet0(sdtpldt0(xQ,szmzizndt0(sdtlpdtrp0(xN,xi))))))&sbrdtbr0(sdtpldt0(xQ,szmzizndt0(sdtlpdtrp0(xN,xi))))=xK),inference(shift_quantors,[status(thm)],[4409])).
% fof(4411, plain,![X2]:![X3]:(((((aElement0(X3)|~(aElementOf0(X3,sdtpldt0(xQ,szmzizndt0(sdtlpdtrp0(xN,xi))))))&((aElementOf0(X3,xQ)|X3=szmzizndt0(sdtlpdtrp0(xN,xi)))|~(aElementOf0(X3,sdtpldt0(xQ,szmzizndt0(sdtlpdtrp0(xN,xi)))))))&(((~(aElementOf0(X3,xQ))|~(aElement0(X3)))|aElementOf0(X3,sdtpldt0(xQ,szmzizndt0(sdtlpdtrp0(xN,xi)))))&((~(X3=szmzizndt0(sdtlpdtrp0(xN,xi)))|~(aElement0(X3)))|aElementOf0(X3,sdtpldt0(xQ,szmzizndt0(sdtlpdtrp0(xN,xi)))))))&(((~(aElementOf0(X2,sdtlpdtrp0(xN,xi)))|sdtlseqdt0(szmzizndt0(sdtlpdtrp0(xN,xi)),X2))&aElementOf0(szmzizndt0(sdtlpdtrp0(xN,xi)),sdtlpdtrp0(xN,xi)))&aSet0(sdtpldt0(xQ,szmzizndt0(sdtlpdtrp0(xN,xi))))))&sbrdtbr0(sdtpldt0(xQ,szmzizndt0(sdtlpdtrp0(xN,xi))))=xK),inference(distribute,[status(thm)],[4410])).
% cnf(4418,plain,(X1=szmzizndt0(sdtlpdtrp0(xN,xi))|aElementOf0(X1,xQ)|~aElementOf0(X1,sdtpldt0(xQ,szmzizndt0(sdtlpdtrp0(xN,xi))))),inference(split_conjunct,[status(thm)],[4411])).
% fof(4420, plain,(![X1]:(~(aElementOf0(X1,sdtlpdtrp0(xN,xi)))|aElementOf0(X1,xS))&aSubsetOf0(sdtlpdtrp0(xN,xi),xS)),inference(fof_nnf,[status(thm)],[61])).
% fof(4421, plain,(![X2]:(~(aElementOf0(X2,sdtlpdtrp0(xN,xi)))|aElementOf0(X2,xS))&aSubsetOf0(sdtlpdtrp0(xN,xi),xS)),inference(variable_rename,[status(thm)],[4420])).
% fof(4422, plain,![X2]:((~(aElementOf0(X2,sdtlpdtrp0(xN,xi)))|aElementOf0(X2,xS))&aSubsetOf0(sdtlpdtrp0(xN,xi),xS)),inference(shift_quantors,[status(thm)],[4421])).
% cnf(4424,plain,(aElementOf0(X1,xS)|~aElementOf0(X1,sdtlpdtrp0(xN,xi))),inference(split_conjunct,[status(thm)],[4422])).
% fof(4551, negated_conjecture,((aElementOf0(szmzizndt0(sdtlpdtrp0(xN,xi)),sdtlpdtrp0(xN,xi))&![X1]:(~(aElementOf0(X1,sdtlpdtrp0(xN,xi)))|sdtlseqdt0(szmzizndt0(sdtlpdtrp0(xN,xi)),X1)))&((aSet0(sdtpldt0(xQ,szmzizndt0(sdtlpdtrp0(xN,xi))))&![X1]:((~(aElementOf0(X1,sdtpldt0(xQ,szmzizndt0(sdtlpdtrp0(xN,xi)))))|(aElement0(X1)&(aElementOf0(X1,xQ)|X1=szmzizndt0(sdtlpdtrp0(xN,xi)))))&((~(aElement0(X1))|(~(aElementOf0(X1,xQ))&~(X1=szmzizndt0(sdtlpdtrp0(xN,xi)))))|aElementOf0(X1,sdtpldt0(xQ,szmzizndt0(sdtlpdtrp0(xN,xi)))))))&(?[X1]:(aElementOf0(X1,sdtpldt0(xQ,szmzizndt0(sdtlpdtrp0(xN,xi))))&~(aElementOf0(X1,xS)))&~(aSubsetOf0(sdtpldt0(xQ,szmzizndt0(sdtlpdtrp0(xN,xi))),xS))))),inference(fof_nnf,[status(thm)],[90])).
% fof(4552, negated_conjecture,((aElementOf0(szmzizndt0(sdtlpdtrp0(xN,xi)),sdtlpdtrp0(xN,xi))&![X2]:(~(aElementOf0(X2,sdtlpdtrp0(xN,xi)))|sdtlseqdt0(szmzizndt0(sdtlpdtrp0(xN,xi)),X2)))&((aSet0(sdtpldt0(xQ,szmzizndt0(sdtlpdtrp0(xN,xi))))&![X3]:((~(aElementOf0(X3,sdtpldt0(xQ,szmzizndt0(sdtlpdtrp0(xN,xi)))))|(aElement0(X3)&(aElementOf0(X3,xQ)|X3=szmzizndt0(sdtlpdtrp0(xN,xi)))))&((~(aElement0(X3))|(~(aElementOf0(X3,xQ))&~(X3=szmzizndt0(sdtlpdtrp0(xN,xi)))))|aElementOf0(X3,sdtpldt0(xQ,szmzizndt0(sdtlpdtrp0(xN,xi)))))))&(?[X4]:(aElementOf0(X4,sdtpldt0(xQ,szmzizndt0(sdtlpdtrp0(xN,xi))))&~(aElementOf0(X4,xS)))&~(aSubsetOf0(sdtpldt0(xQ,szmzizndt0(sdtlpdtrp0(xN,xi))),xS))))),inference(variable_rename,[status(thm)],[4551])).
% fof(4553, negated_conjecture,((aElementOf0(szmzizndt0(sdtlpdtrp0(xN,xi)),sdtlpdtrp0(xN,xi))&![X2]:(~(aElementOf0(X2,sdtlpdtrp0(xN,xi)))|sdtlseqdt0(szmzizndt0(sdtlpdtrp0(xN,xi)),X2)))&((aSet0(sdtpldt0(xQ,szmzizndt0(sdtlpdtrp0(xN,xi))))&![X3]:((~(aElementOf0(X3,sdtpldt0(xQ,szmzizndt0(sdtlpdtrp0(xN,xi)))))|(aElement0(X3)&(aElementOf0(X3,xQ)|X3=szmzizndt0(sdtlpdtrp0(xN,xi)))))&((~(aElement0(X3))|(~(aElementOf0(X3,xQ))&~(X3=szmzizndt0(sdtlpdtrp0(xN,xi)))))|aElementOf0(X3,sdtpldt0(xQ,szmzizndt0(sdtlpdtrp0(xN,xi)))))))&((aElementOf0(esk32_0,sdtpldt0(xQ,szmzizndt0(sdtlpdtrp0(xN,xi))))&~(aElementOf0(esk32_0,xS)))&~(aSubsetOf0(sdtpldt0(xQ,szmzizndt0(sdtlpdtrp0(xN,xi))),xS))))),inference(skolemize,[status(esa)],[4552])).
% fof(4554, negated_conjecture,![X2]:![X3]:(((((~(aElementOf0(X3,sdtpldt0(xQ,szmzizndt0(sdtlpdtrp0(xN,xi)))))|(aElement0(X3)&(aElementOf0(X3,xQ)|X3=szmzizndt0(sdtlpdtrp0(xN,xi)))))&((~(aElement0(X3))|(~(aElementOf0(X3,xQ))&~(X3=szmzizndt0(sdtlpdtrp0(xN,xi)))))|aElementOf0(X3,sdtpldt0(xQ,szmzizndt0(sdtlpdtrp0(xN,xi))))))&aSet0(sdtpldt0(xQ,szmzizndt0(sdtlpdtrp0(xN,xi)))))&((aElementOf0(esk32_0,sdtpldt0(xQ,szmzizndt0(sdtlpdtrp0(xN,xi))))&~(aElementOf0(esk32_0,xS)))&~(aSubsetOf0(sdtpldt0(xQ,szmzizndt0(sdtlpdtrp0(xN,xi))),xS))))&((~(aElementOf0(X2,sdtlpdtrp0(xN,xi)))|sdtlseqdt0(szmzizndt0(sdtlpdtrp0(xN,xi)),X2))&aElementOf0(szmzizndt0(sdtlpdtrp0(xN,xi)),sdtlpdtrp0(xN,xi)))),inference(shift_quantors,[status(thm)],[4553])).
% fof(4555, negated_conjecture,![X2]:![X3]:((((((aElement0(X3)|~(aElementOf0(X3,sdtpldt0(xQ,szmzizndt0(sdtlpdtrp0(xN,xi))))))&((aElementOf0(X3,xQ)|X3=szmzizndt0(sdtlpdtrp0(xN,xi)))|~(aElementOf0(X3,sdtpldt0(xQ,szmzizndt0(sdtlpdtrp0(xN,xi)))))))&(((~(aElementOf0(X3,xQ))|~(aElement0(X3)))|aElementOf0(X3,sdtpldt0(xQ,szmzizndt0(sdtlpdtrp0(xN,xi)))))&((~(X3=szmzizndt0(sdtlpdtrp0(xN,xi)))|~(aElement0(X3)))|aElementOf0(X3,sdtpldt0(xQ,szmzizndt0(sdtlpdtrp0(xN,xi)))))))&aSet0(sdtpldt0(xQ,szmzizndt0(sdtlpdtrp0(xN,xi)))))&((aElementOf0(esk32_0,sdtpldt0(xQ,szmzizndt0(sdtlpdtrp0(xN,xi))))&~(aElementOf0(esk32_0,xS)))&~(aSubsetOf0(sdtpldt0(xQ,szmzizndt0(sdtlpdtrp0(xN,xi))),xS))))&((~(aElementOf0(X2,sdtlpdtrp0(xN,xi)))|sdtlseqdt0(szmzizndt0(sdtlpdtrp0(xN,xi)),X2))&aElementOf0(szmzizndt0(sdtlpdtrp0(xN,xi)),sdtlpdtrp0(xN,xi)))),inference(distribute,[status(thm)],[4554])).
% cnf(4559,negated_conjecture,(~aElementOf0(esk32_0,xS)),inference(split_conjunct,[status(thm)],[4555])).
% cnf(4560,negated_conjecture,(aElementOf0(esk32_0,sdtpldt0(xQ,szmzizndt0(sdtlpdtrp0(xN,xi))))),inference(split_conjunct,[status(thm)],[4555])).
% cnf(7144,plain,(aElementOf0(szmzizndt0(sdtlpdtrp0(xN,xi)),xS)),inference(spm,[status(thm)],[4424,4401,theory(equality)])).
% cnf(7389,negated_conjecture,(szmzizndt0(sdtlpdtrp0(xN,xi))=esk32_0|aElementOf0(esk32_0,xQ)),inference(spm,[status(thm)],[4418,4560,theory(equality)])).
% cnf(7538,plain,(aElementOf0(X1,sdtlpdtrp0(xN,xi))|~aElementOf0(X1,xQ)),inference(spm,[status(thm)],[4405,4407,theory(equality)])).
% cnf(62496,negated_conjecture,(aElementOf0(esk32_0,xS)|aElementOf0(esk32_0,xQ)),inference(spm,[status(thm)],[7144,7389,theory(equality)])).
% cnf(62526,negated_conjecture,(aElementOf0(esk32_0,xQ)),inference(sr,[status(thm)],[62496,4559,theory(equality)])).
% cnf(64589,plain,(aElementOf0(X1,xS)|~aElementOf0(X1,xQ)),inference(spm,[status(thm)],[4424,7538,theory(equality)])).
% cnf(64753,negated_conjecture,(aElementOf0(esk32_0,xS)),inference(spm,[status(thm)],[64589,62526,theory(equality)])).
% cnf(64764,negated_conjecture,($false),inference(sr,[status(thm)],[64753,4559,theory(equality)])).
% cnf(64765,negated_conjecture,($false),64764,['proof']).
% # SZS output end CNFRefutation
% # Processed clauses : 5614
% # ...of these trivial : 11
% # ...subsumed : 324
% # ...remaining for further processing: 5279
% # Other redundant clauses eliminated : 13
% # Clauses deleted for lack of memory : 0
% # Backward-subsumed : 2
% # Backward-rewritten : 1
% # Generated clauses : 50246
% # ...of the previous two non-trivial : 36906
% # Contextual simplify-reflections : 2551
% # Paramodulations : 50206
% # Factorizations : 0
% # Equation resolutions : 40
% # Current number of processed clauses: 2670
% # Positive orientable unit clauses: 56
% # Positive unorientable unit clauses: 0
% # Negative unit clauses : 17
% # Non-unit-clauses : 2597
% # Current number of unprocessed clauses: 36748
% # ...number of literals in the above : 593300
% # Clause-clause subsumption calls (NU) : 564057
% # Rec. Clause-clause subsumption calls : 39525
% # Unit Clause-clause subsumption calls : 30316
% # Rewrite failures with RHS unbound : 0
% # Indexed BW rewrite attempts : 1
% # Indexed BW rewrite successes : 1
% # Backwards rewriting index: 308 leaves, 1.96+/-2.412 terms/leaf
% # Paramod-from index: 146 leaves, 1.04+/-0.230 terms/leaf
% # Paramod-into index: 270 leaves, 1.45+/-1.301 terms/leaf
% # -------------------------------------------------
% # User time : 7.587 s
% # System time : 0.164 s
% # Total time : 7.751 s
% # Maximum resident set size: 0 pages
% PrfWatch: 10.46 CPU 10.61 WC
% FINAL PrfWatch: 10.46 CPU 10.61 WC
% SZS output end Solution for /tmp/SystemOnTPTP3142/NUM583+3.tptp
%
%------------------------------------------------------------------------------