TSTP Solution File: NUM578+3 by SRASS---0.1
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- Process Solution
%------------------------------------------------------------------------------
% File : SRASS---0.1
% Problem : NUM578+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 : art01.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 20:16:25 EST 2010
% Result : Theorem 11.02s
% Output : Solution 11.02s
% 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/SystemOnTPTP32409/NUM578+3.tptp
% Adding relevance values
% Extracting the conjecture
% Sorting axioms by relevance
% Looking for THM ...
% found
% SZS status THM for /tmp/SystemOnTPTP32409/NUM578+3.tptp
% SZS output start Solution for /tmp/SystemOnTPTP32409/NUM578+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 32505
% TreeLimitedRun: ----------------------------------------------------------
% PrfWatch: 0.00 CPU 0.01 WC
% PrfWatch: 1.95 CPU 2.02 WC
% PrfWatch: 3.94 CPU 4.03 WC
% PrfWatch: 5.93 CPU 6.04 WC
% # Preprocessing time : 0.544 s
% # Problem is unsatisfiable (or provable), constructing proof object
% # SZS status Theorem
% PrfWatch: 7.91 CPU 8.04 WC
% # SZS output start CNFRefutation.
% fof(51, axiom,(aElementOf0(xi,szNzAzT0)&aElementOf0(xj,szNzAzT0)),file('/tmp/SRASS.s.p', m__3856)).
% fof(52, axiom,(~(xi=xj)=>(sdtlseqdt0(szszuzczcdt0(xj),xi)|sdtlseqdt0(szszuzczcdt0(xi),xj))),file('/tmp/SRASS.s.p', m__3856_02)).
% fof(86, conjecture,(![X1]:![X2]:((aElementOf0(X1,szNzAzT0)&aElementOf0(X2,szNzAzT0))=>(sdtlseqdt0(szszuzczcdt0(X1),X2)=>((((((aElementOf0(szmzizndt0(sdtlpdtrp0(xN,X1)),sdtlpdtrp0(xN,X1))&![X3]:(aElementOf0(X3,sdtlpdtrp0(xN,X1))=>sdtlseqdt0(szmzizndt0(sdtlpdtrp0(xN,X1)),X3)))&aSet0(sdtmndt0(sdtlpdtrp0(xN,X1),szmzizndt0(sdtlpdtrp0(xN,X1)))))&![X3]:(aElementOf0(X3,sdtmndt0(sdtlpdtrp0(xN,X1),szmzizndt0(sdtlpdtrp0(xN,X1))))<=>((aElement0(X3)&aElementOf0(X3,sdtlpdtrp0(xN,X1)))&~(X3=szmzizndt0(sdtlpdtrp0(xN,X1))))))&![X3]:(aElementOf0(X3,sdtlpdtrp0(xN,X2))=>aElementOf0(X3,sdtmndt0(sdtlpdtrp0(xN,X1),szmzizndt0(sdtlpdtrp0(xN,X1))))))&aSubsetOf0(sdtlpdtrp0(xN,X2),sdtmndt0(sdtlpdtrp0(xN,X1),szmzizndt0(sdtlpdtrp0(xN,X1)))))&~(((aElementOf0(szmzizndt0(sdtlpdtrp0(xN,X2)),sdtlpdtrp0(xN,X2))&![X3]:(aElementOf0(X3,sdtlpdtrp0(xN,X2))=>sdtlseqdt0(szmzizndt0(sdtlpdtrp0(xN,X2)),X3)))=>((aElementOf0(szmzizndt0(sdtlpdtrp0(xN,X2)),sdtlpdtrp0(xN,X1))&![X3]:(aElementOf0(X3,sdtlpdtrp0(xN,X1))=>sdtlseqdt0(szmzizndt0(sdtlpdtrp0(xN,X2)),X3)))|szmzizndt0(sdtlpdtrp0(xN,X2))=szmzizndt0(sdtlpdtrp0(xN,X1))))))))=>(~(xi=xj)=>~(((((aElementOf0(szmzizndt0(sdtlpdtrp0(xN,xi)),sdtlpdtrp0(xN,xi))&![X1]:(aElementOf0(X1,sdtlpdtrp0(xN,xi))=>sdtlseqdt0(szmzizndt0(sdtlpdtrp0(xN,xi)),X1)))&aElementOf0(szmzizndt0(sdtlpdtrp0(xN,xi)),sdtlpdtrp0(xN,xj)))&![X1]:(aElementOf0(X1,sdtlpdtrp0(xN,xj))=>sdtlseqdt0(szmzizndt0(sdtlpdtrp0(xN,xi)),X1)))&szmzizndt0(sdtlpdtrp0(xN,xi))=szmzizndt0(sdtlpdtrp0(xN,xj)))))),file('/tmp/SRASS.s.p', m__)).
% fof(87, negated_conjecture,~((![X1]:![X2]:((aElementOf0(X1,szNzAzT0)&aElementOf0(X2,szNzAzT0))=>(sdtlseqdt0(szszuzczcdt0(X1),X2)=>((((((aElementOf0(szmzizndt0(sdtlpdtrp0(xN,X1)),sdtlpdtrp0(xN,X1))&![X3]:(aElementOf0(X3,sdtlpdtrp0(xN,X1))=>sdtlseqdt0(szmzizndt0(sdtlpdtrp0(xN,X1)),X3)))&aSet0(sdtmndt0(sdtlpdtrp0(xN,X1),szmzizndt0(sdtlpdtrp0(xN,X1)))))&![X3]:(aElementOf0(X3,sdtmndt0(sdtlpdtrp0(xN,X1),szmzizndt0(sdtlpdtrp0(xN,X1))))<=>((aElement0(X3)&aElementOf0(X3,sdtlpdtrp0(xN,X1)))&~(X3=szmzizndt0(sdtlpdtrp0(xN,X1))))))&![X3]:(aElementOf0(X3,sdtlpdtrp0(xN,X2))=>aElementOf0(X3,sdtmndt0(sdtlpdtrp0(xN,X1),szmzizndt0(sdtlpdtrp0(xN,X1))))))&aSubsetOf0(sdtlpdtrp0(xN,X2),sdtmndt0(sdtlpdtrp0(xN,X1),szmzizndt0(sdtlpdtrp0(xN,X1)))))&~(((aElementOf0(szmzizndt0(sdtlpdtrp0(xN,X2)),sdtlpdtrp0(xN,X2))&![X3]:(aElementOf0(X3,sdtlpdtrp0(xN,X2))=>sdtlseqdt0(szmzizndt0(sdtlpdtrp0(xN,X2)),X3)))=>((aElementOf0(szmzizndt0(sdtlpdtrp0(xN,X2)),sdtlpdtrp0(xN,X1))&![X3]:(aElementOf0(X3,sdtlpdtrp0(xN,X1))=>sdtlseqdt0(szmzizndt0(sdtlpdtrp0(xN,X2)),X3)))|szmzizndt0(sdtlpdtrp0(xN,X2))=szmzizndt0(sdtlpdtrp0(xN,X1))))))))=>(~(xi=xj)=>~(((((aElementOf0(szmzizndt0(sdtlpdtrp0(xN,xi)),sdtlpdtrp0(xN,xi))&![X1]:(aElementOf0(X1,sdtlpdtrp0(xN,xi))=>sdtlseqdt0(szmzizndt0(sdtlpdtrp0(xN,xi)),X1)))&aElementOf0(szmzizndt0(sdtlpdtrp0(xN,xi)),sdtlpdtrp0(xN,xj)))&![X1]:(aElementOf0(X1,sdtlpdtrp0(xN,xj))=>sdtlseqdt0(szmzizndt0(sdtlpdtrp0(xN,xi)),X1)))&szmzizndt0(sdtlpdtrp0(xN,xi))=szmzizndt0(sdtlpdtrp0(xN,xj))))))),inference(assume_negation,[status(cth)],[86])).
% fof(100, plain,![X1]:![X2]:(epred1_2(X2,X1)=>((((((aElementOf0(szmzizndt0(sdtlpdtrp0(xN,X1)),sdtlpdtrp0(xN,X1))&![X3]:(aElementOf0(X3,sdtlpdtrp0(xN,X1))=>sdtlseqdt0(szmzizndt0(sdtlpdtrp0(xN,X1)),X3)))&aSet0(sdtmndt0(sdtlpdtrp0(xN,X1),szmzizndt0(sdtlpdtrp0(xN,X1)))))&![X3]:(aElementOf0(X3,sdtmndt0(sdtlpdtrp0(xN,X1),szmzizndt0(sdtlpdtrp0(xN,X1))))<=>((aElement0(X3)&aElementOf0(X3,sdtlpdtrp0(xN,X1)))&~(X3=szmzizndt0(sdtlpdtrp0(xN,X1))))))&![X3]:(aElementOf0(X3,sdtlpdtrp0(xN,X2))=>aElementOf0(X3,sdtmndt0(sdtlpdtrp0(xN,X1),szmzizndt0(sdtlpdtrp0(xN,X1))))))&aSubsetOf0(sdtlpdtrp0(xN,X2),sdtmndt0(sdtlpdtrp0(xN,X1),szmzizndt0(sdtlpdtrp0(xN,X1)))))&~(((aElementOf0(szmzizndt0(sdtlpdtrp0(xN,X2)),sdtlpdtrp0(xN,X2))&![X3]:(aElementOf0(X3,sdtlpdtrp0(xN,X2))=>sdtlseqdt0(szmzizndt0(sdtlpdtrp0(xN,X2)),X3)))=>((aElementOf0(szmzizndt0(sdtlpdtrp0(xN,X2)),sdtlpdtrp0(xN,X1))&![X3]:(aElementOf0(X3,sdtlpdtrp0(xN,X1))=>sdtlseqdt0(szmzizndt0(sdtlpdtrp0(xN,X2)),X3)))|szmzizndt0(sdtlpdtrp0(xN,X2))=szmzizndt0(sdtlpdtrp0(xN,X1))))))),introduced(definition)).
% fof(101, negated_conjecture,~((![X1]:![X2]:((aElementOf0(X1,szNzAzT0)&aElementOf0(X2,szNzAzT0))=>(sdtlseqdt0(szszuzczcdt0(X1),X2)=>epred1_2(X2,X1)))=>(~(xi=xj)=>~(((((aElementOf0(szmzizndt0(sdtlpdtrp0(xN,xi)),sdtlpdtrp0(xN,xi))&![X1]:(aElementOf0(X1,sdtlpdtrp0(xN,xi))=>sdtlseqdt0(szmzizndt0(sdtlpdtrp0(xN,xi)),X1)))&aElementOf0(szmzizndt0(sdtlpdtrp0(xN,xi)),sdtlpdtrp0(xN,xj)))&![X1]:(aElementOf0(X1,sdtlpdtrp0(xN,xj))=>sdtlseqdt0(szmzizndt0(sdtlpdtrp0(xN,xi)),X1)))&szmzizndt0(sdtlpdtrp0(xN,xi))=szmzizndt0(sdtlpdtrp0(xN,xj))))))),inference(apply_def,[status(esa)],[87,100,theory(equality)])).
% cnf(4347,plain,(aElementOf0(xj,szNzAzT0)),inference(split_conjunct,[status(thm)],[51])).
% cnf(4348,plain,(aElementOf0(xi,szNzAzT0)),inference(split_conjunct,[status(thm)],[51])).
% fof(4349, plain,(xi=xj|(sdtlseqdt0(szszuzczcdt0(xj),xi)|sdtlseqdt0(szszuzczcdt0(xi),xj))),inference(fof_nnf,[status(thm)],[52])).
% cnf(4350,plain,(sdtlseqdt0(szszuzczcdt0(xi),xj)|sdtlseqdt0(szszuzczcdt0(xj),xi)|xi=xj),inference(split_conjunct,[status(thm)],[4349])).
% fof(4510, negated_conjecture,(![X1]:![X2]:((~(aElementOf0(X1,szNzAzT0))|~(aElementOf0(X2,szNzAzT0)))|(~(sdtlseqdt0(szszuzczcdt0(X1),X2))|epred1_2(X2,X1)))&(~(xi=xj)&((((aElementOf0(szmzizndt0(sdtlpdtrp0(xN,xi)),sdtlpdtrp0(xN,xi))&![X1]:(~(aElementOf0(X1,sdtlpdtrp0(xN,xi)))|sdtlseqdt0(szmzizndt0(sdtlpdtrp0(xN,xi)),X1)))&aElementOf0(szmzizndt0(sdtlpdtrp0(xN,xi)),sdtlpdtrp0(xN,xj)))&![X1]:(~(aElementOf0(X1,sdtlpdtrp0(xN,xj)))|sdtlseqdt0(szmzizndt0(sdtlpdtrp0(xN,xi)),X1)))&szmzizndt0(sdtlpdtrp0(xN,xi))=szmzizndt0(sdtlpdtrp0(xN,xj))))),inference(fof_nnf,[status(thm)],[101])).
% fof(4511, negated_conjecture,(![X3]:![X4]:((~(aElementOf0(X3,szNzAzT0))|~(aElementOf0(X4,szNzAzT0)))|(~(sdtlseqdt0(szszuzczcdt0(X3),X4))|epred1_2(X4,X3)))&(~(xi=xj)&((((aElementOf0(szmzizndt0(sdtlpdtrp0(xN,xi)),sdtlpdtrp0(xN,xi))&![X5]:(~(aElementOf0(X5,sdtlpdtrp0(xN,xi)))|sdtlseqdt0(szmzizndt0(sdtlpdtrp0(xN,xi)),X5)))&aElementOf0(szmzizndt0(sdtlpdtrp0(xN,xi)),sdtlpdtrp0(xN,xj)))&![X6]:(~(aElementOf0(X6,sdtlpdtrp0(xN,xj)))|sdtlseqdt0(szmzizndt0(sdtlpdtrp0(xN,xi)),X6)))&szmzizndt0(sdtlpdtrp0(xN,xi))=szmzizndt0(sdtlpdtrp0(xN,xj))))),inference(variable_rename,[status(thm)],[4510])).
% fof(4512, negated_conjecture,![X3]:![X4]:![X5]:![X6]:(((((~(aElementOf0(X6,sdtlpdtrp0(xN,xj)))|sdtlseqdt0(szmzizndt0(sdtlpdtrp0(xN,xi)),X6))&(((~(aElementOf0(X5,sdtlpdtrp0(xN,xi)))|sdtlseqdt0(szmzizndt0(sdtlpdtrp0(xN,xi)),X5))&aElementOf0(szmzizndt0(sdtlpdtrp0(xN,xi)),sdtlpdtrp0(xN,xi)))&aElementOf0(szmzizndt0(sdtlpdtrp0(xN,xi)),sdtlpdtrp0(xN,xj))))&szmzizndt0(sdtlpdtrp0(xN,xi))=szmzizndt0(sdtlpdtrp0(xN,xj)))&~(xi=xj))&((~(aElementOf0(X3,szNzAzT0))|~(aElementOf0(X4,szNzAzT0)))|(~(sdtlseqdt0(szszuzczcdt0(X3),X4))|epred1_2(X4,X3)))),inference(shift_quantors,[status(thm)],[4511])).
% cnf(4513,negated_conjecture,(epred1_2(X1,X2)|~sdtlseqdt0(szszuzczcdt0(X2),X1)|~aElementOf0(X1,szNzAzT0)|~aElementOf0(X2,szNzAzT0)),inference(split_conjunct,[status(thm)],[4512])).
% cnf(4514,negated_conjecture,(xi!=xj),inference(split_conjunct,[status(thm)],[4512])).
% cnf(4515,negated_conjecture,(szmzizndt0(sdtlpdtrp0(xN,xi))=szmzizndt0(sdtlpdtrp0(xN,xj))),inference(split_conjunct,[status(thm)],[4512])).
% fof(4520, plain,![X1]:![X2]:(~(epred1_2(X2,X1))|((((((aElementOf0(szmzizndt0(sdtlpdtrp0(xN,X1)),sdtlpdtrp0(xN,X1))&![X3]:(~(aElementOf0(X3,sdtlpdtrp0(xN,X1)))|sdtlseqdt0(szmzizndt0(sdtlpdtrp0(xN,X1)),X3)))&aSet0(sdtmndt0(sdtlpdtrp0(xN,X1),szmzizndt0(sdtlpdtrp0(xN,X1)))))&![X3]:((~(aElementOf0(X3,sdtmndt0(sdtlpdtrp0(xN,X1),szmzizndt0(sdtlpdtrp0(xN,X1)))))|((aElement0(X3)&aElementOf0(X3,sdtlpdtrp0(xN,X1)))&~(X3=szmzizndt0(sdtlpdtrp0(xN,X1)))))&(((~(aElement0(X3))|~(aElementOf0(X3,sdtlpdtrp0(xN,X1))))|X3=szmzizndt0(sdtlpdtrp0(xN,X1)))|aElementOf0(X3,sdtmndt0(sdtlpdtrp0(xN,X1),szmzizndt0(sdtlpdtrp0(xN,X1)))))))&![X3]:(~(aElementOf0(X3,sdtlpdtrp0(xN,X2)))|aElementOf0(X3,sdtmndt0(sdtlpdtrp0(xN,X1),szmzizndt0(sdtlpdtrp0(xN,X1))))))&aSubsetOf0(sdtlpdtrp0(xN,X2),sdtmndt0(sdtlpdtrp0(xN,X1),szmzizndt0(sdtlpdtrp0(xN,X1)))))&((aElementOf0(szmzizndt0(sdtlpdtrp0(xN,X2)),sdtlpdtrp0(xN,X2))&![X3]:(~(aElementOf0(X3,sdtlpdtrp0(xN,X2)))|sdtlseqdt0(szmzizndt0(sdtlpdtrp0(xN,X2)),X3)))&((~(aElementOf0(szmzizndt0(sdtlpdtrp0(xN,X2)),sdtlpdtrp0(xN,X1)))|?[X3]:(aElementOf0(X3,sdtlpdtrp0(xN,X1))&~(sdtlseqdt0(szmzizndt0(sdtlpdtrp0(xN,X2)),X3))))&~(szmzizndt0(sdtlpdtrp0(xN,X2))=szmzizndt0(sdtlpdtrp0(xN,X1))))))),inference(fof_nnf,[status(thm)],[100])).
% fof(4521, plain,![X4]:![X5]:(~(epred1_2(X5,X4))|((((((aElementOf0(szmzizndt0(sdtlpdtrp0(xN,X4)),sdtlpdtrp0(xN,X4))&![X6]:(~(aElementOf0(X6,sdtlpdtrp0(xN,X4)))|sdtlseqdt0(szmzizndt0(sdtlpdtrp0(xN,X4)),X6)))&aSet0(sdtmndt0(sdtlpdtrp0(xN,X4),szmzizndt0(sdtlpdtrp0(xN,X4)))))&![X7]:((~(aElementOf0(X7,sdtmndt0(sdtlpdtrp0(xN,X4),szmzizndt0(sdtlpdtrp0(xN,X4)))))|((aElement0(X7)&aElementOf0(X7,sdtlpdtrp0(xN,X4)))&~(X7=szmzizndt0(sdtlpdtrp0(xN,X4)))))&(((~(aElement0(X7))|~(aElementOf0(X7,sdtlpdtrp0(xN,X4))))|X7=szmzizndt0(sdtlpdtrp0(xN,X4)))|aElementOf0(X7,sdtmndt0(sdtlpdtrp0(xN,X4),szmzizndt0(sdtlpdtrp0(xN,X4)))))))&![X8]:(~(aElementOf0(X8,sdtlpdtrp0(xN,X5)))|aElementOf0(X8,sdtmndt0(sdtlpdtrp0(xN,X4),szmzizndt0(sdtlpdtrp0(xN,X4))))))&aSubsetOf0(sdtlpdtrp0(xN,X5),sdtmndt0(sdtlpdtrp0(xN,X4),szmzizndt0(sdtlpdtrp0(xN,X4)))))&((aElementOf0(szmzizndt0(sdtlpdtrp0(xN,X5)),sdtlpdtrp0(xN,X5))&![X9]:(~(aElementOf0(X9,sdtlpdtrp0(xN,X5)))|sdtlseqdt0(szmzizndt0(sdtlpdtrp0(xN,X5)),X9)))&((~(aElementOf0(szmzizndt0(sdtlpdtrp0(xN,X5)),sdtlpdtrp0(xN,X4)))|?[X10]:(aElementOf0(X10,sdtlpdtrp0(xN,X4))&~(sdtlseqdt0(szmzizndt0(sdtlpdtrp0(xN,X5)),X10))))&~(szmzizndt0(sdtlpdtrp0(xN,X5))=szmzizndt0(sdtlpdtrp0(xN,X4))))))),inference(variable_rename,[status(thm)],[4520])).
% fof(4522, plain,![X4]:![X5]:(~(epred1_2(X5,X4))|((((((aElementOf0(szmzizndt0(sdtlpdtrp0(xN,X4)),sdtlpdtrp0(xN,X4))&![X6]:(~(aElementOf0(X6,sdtlpdtrp0(xN,X4)))|sdtlseqdt0(szmzizndt0(sdtlpdtrp0(xN,X4)),X6)))&aSet0(sdtmndt0(sdtlpdtrp0(xN,X4),szmzizndt0(sdtlpdtrp0(xN,X4)))))&![X7]:((~(aElementOf0(X7,sdtmndt0(sdtlpdtrp0(xN,X4),szmzizndt0(sdtlpdtrp0(xN,X4)))))|((aElement0(X7)&aElementOf0(X7,sdtlpdtrp0(xN,X4)))&~(X7=szmzizndt0(sdtlpdtrp0(xN,X4)))))&(((~(aElement0(X7))|~(aElementOf0(X7,sdtlpdtrp0(xN,X4))))|X7=szmzizndt0(sdtlpdtrp0(xN,X4)))|aElementOf0(X7,sdtmndt0(sdtlpdtrp0(xN,X4),szmzizndt0(sdtlpdtrp0(xN,X4)))))))&![X8]:(~(aElementOf0(X8,sdtlpdtrp0(xN,X5)))|aElementOf0(X8,sdtmndt0(sdtlpdtrp0(xN,X4),szmzizndt0(sdtlpdtrp0(xN,X4))))))&aSubsetOf0(sdtlpdtrp0(xN,X5),sdtmndt0(sdtlpdtrp0(xN,X4),szmzizndt0(sdtlpdtrp0(xN,X4)))))&((aElementOf0(szmzizndt0(sdtlpdtrp0(xN,X5)),sdtlpdtrp0(xN,X5))&![X9]:(~(aElementOf0(X9,sdtlpdtrp0(xN,X5)))|sdtlseqdt0(szmzizndt0(sdtlpdtrp0(xN,X5)),X9)))&((~(aElementOf0(szmzizndt0(sdtlpdtrp0(xN,X5)),sdtlpdtrp0(xN,X4)))|(aElementOf0(esk31_2(X4,X5),sdtlpdtrp0(xN,X4))&~(sdtlseqdt0(szmzizndt0(sdtlpdtrp0(xN,X5)),esk31_2(X4,X5)))))&~(szmzizndt0(sdtlpdtrp0(xN,X5))=szmzizndt0(sdtlpdtrp0(xN,X4))))))),inference(skolemize,[status(esa)],[4521])).
% fof(4523, plain,![X4]:![X5]:![X6]:![X7]:![X8]:![X9]:(((((~(aElementOf0(X9,sdtlpdtrp0(xN,X5)))|sdtlseqdt0(szmzizndt0(sdtlpdtrp0(xN,X5)),X9))&aElementOf0(szmzizndt0(sdtlpdtrp0(xN,X5)),sdtlpdtrp0(xN,X5)))&((~(aElementOf0(szmzizndt0(sdtlpdtrp0(xN,X5)),sdtlpdtrp0(xN,X4)))|(aElementOf0(esk31_2(X4,X5),sdtlpdtrp0(xN,X4))&~(sdtlseqdt0(szmzizndt0(sdtlpdtrp0(xN,X5)),esk31_2(X4,X5)))))&~(szmzizndt0(sdtlpdtrp0(xN,X5))=szmzizndt0(sdtlpdtrp0(xN,X4)))))&(((~(aElementOf0(X8,sdtlpdtrp0(xN,X5)))|aElementOf0(X8,sdtmndt0(sdtlpdtrp0(xN,X4),szmzizndt0(sdtlpdtrp0(xN,X4)))))&(((~(aElementOf0(X7,sdtmndt0(sdtlpdtrp0(xN,X4),szmzizndt0(sdtlpdtrp0(xN,X4)))))|((aElement0(X7)&aElementOf0(X7,sdtlpdtrp0(xN,X4)))&~(X7=szmzizndt0(sdtlpdtrp0(xN,X4)))))&(((~(aElement0(X7))|~(aElementOf0(X7,sdtlpdtrp0(xN,X4))))|X7=szmzizndt0(sdtlpdtrp0(xN,X4)))|aElementOf0(X7,sdtmndt0(sdtlpdtrp0(xN,X4),szmzizndt0(sdtlpdtrp0(xN,X4))))))&(((~(aElementOf0(X6,sdtlpdtrp0(xN,X4)))|sdtlseqdt0(szmzizndt0(sdtlpdtrp0(xN,X4)),X6))&aElementOf0(szmzizndt0(sdtlpdtrp0(xN,X4)),sdtlpdtrp0(xN,X4)))&aSet0(sdtmndt0(sdtlpdtrp0(xN,X4),szmzizndt0(sdtlpdtrp0(xN,X4)))))))&aSubsetOf0(sdtlpdtrp0(xN,X5),sdtmndt0(sdtlpdtrp0(xN,X4),szmzizndt0(sdtlpdtrp0(xN,X4))))))|~(epred1_2(X5,X4))),inference(shift_quantors,[status(thm)],[4522])).
% fof(4524, plain,![X4]:![X5]:![X6]:![X7]:![X8]:![X9]:(((((~(aElementOf0(X9,sdtlpdtrp0(xN,X5)))|sdtlseqdt0(szmzizndt0(sdtlpdtrp0(xN,X5)),X9))|~(epred1_2(X5,X4)))&(aElementOf0(szmzizndt0(sdtlpdtrp0(xN,X5)),sdtlpdtrp0(xN,X5))|~(epred1_2(X5,X4))))&((((aElementOf0(esk31_2(X4,X5),sdtlpdtrp0(xN,X4))|~(aElementOf0(szmzizndt0(sdtlpdtrp0(xN,X5)),sdtlpdtrp0(xN,X4))))|~(epred1_2(X5,X4)))&((~(sdtlseqdt0(szmzizndt0(sdtlpdtrp0(xN,X5)),esk31_2(X4,X5)))|~(aElementOf0(szmzizndt0(sdtlpdtrp0(xN,X5)),sdtlpdtrp0(xN,X4))))|~(epred1_2(X5,X4))))&(~(szmzizndt0(sdtlpdtrp0(xN,X5))=szmzizndt0(sdtlpdtrp0(xN,X4)))|~(epred1_2(X5,X4)))))&((((~(aElementOf0(X8,sdtlpdtrp0(xN,X5)))|aElementOf0(X8,sdtmndt0(sdtlpdtrp0(xN,X4),szmzizndt0(sdtlpdtrp0(xN,X4)))))|~(epred1_2(X5,X4)))&((((((aElement0(X7)|~(aElementOf0(X7,sdtmndt0(sdtlpdtrp0(xN,X4),szmzizndt0(sdtlpdtrp0(xN,X4))))))|~(epred1_2(X5,X4)))&((aElementOf0(X7,sdtlpdtrp0(xN,X4))|~(aElementOf0(X7,sdtmndt0(sdtlpdtrp0(xN,X4),szmzizndt0(sdtlpdtrp0(xN,X4))))))|~(epred1_2(X5,X4))))&((~(X7=szmzizndt0(sdtlpdtrp0(xN,X4)))|~(aElementOf0(X7,sdtmndt0(sdtlpdtrp0(xN,X4),szmzizndt0(sdtlpdtrp0(xN,X4))))))|~(epred1_2(X5,X4))))&((((~(aElement0(X7))|~(aElementOf0(X7,sdtlpdtrp0(xN,X4))))|X7=szmzizndt0(sdtlpdtrp0(xN,X4)))|aElementOf0(X7,sdtmndt0(sdtlpdtrp0(xN,X4),szmzizndt0(sdtlpdtrp0(xN,X4)))))|~(epred1_2(X5,X4))))&((((~(aElementOf0(X6,sdtlpdtrp0(xN,X4)))|sdtlseqdt0(szmzizndt0(sdtlpdtrp0(xN,X4)),X6))|~(epred1_2(X5,X4)))&(aElementOf0(szmzizndt0(sdtlpdtrp0(xN,X4)),sdtlpdtrp0(xN,X4))|~(epred1_2(X5,X4))))&(aSet0(sdtmndt0(sdtlpdtrp0(xN,X4),szmzizndt0(sdtlpdtrp0(xN,X4))))|~(epred1_2(X5,X4))))))&(aSubsetOf0(sdtlpdtrp0(xN,X5),sdtmndt0(sdtlpdtrp0(xN,X4),szmzizndt0(sdtlpdtrp0(xN,X4))))|~(epred1_2(X5,X4))))),inference(distribute,[status(thm)],[4523])).
% cnf(4534,plain,(~epred1_2(X1,X2)|szmzizndt0(sdtlpdtrp0(xN,X1))!=szmzizndt0(sdtlpdtrp0(xN,X2))),inference(split_conjunct,[status(thm)],[4524])).
% cnf(4541,plain,(sdtlseqdt0(szszuzczcdt0(xi),xj)|sdtlseqdt0(szszuzczcdt0(xj),xi)),inference(sr,[status(thm)],[4350,4514,theory(equality)])).
% cnf(7266,negated_conjecture,(epred1_2(xj,xi)|sdtlseqdt0(szszuzczcdt0(xj),xi)|~aElementOf0(xi,szNzAzT0)|~aElementOf0(xj,szNzAzT0)),inference(spm,[status(thm)],[4513,4541,theory(equality)])).
% cnf(7270,negated_conjecture,(epred1_2(xj,xi)|sdtlseqdt0(szszuzczcdt0(xj),xi)|$false|~aElementOf0(xj,szNzAzT0)),inference(rw,[status(thm)],[7266,4348,theory(equality)])).
% cnf(7271,negated_conjecture,(epred1_2(xj,xi)|sdtlseqdt0(szszuzczcdt0(xj),xi)|$false|$false),inference(rw,[status(thm)],[7270,4347,theory(equality)])).
% cnf(7272,negated_conjecture,(epred1_2(xj,xi)|sdtlseqdt0(szszuzczcdt0(xj),xi)),inference(cn,[status(thm)],[7271,theory(equality)])).
% cnf(61202,negated_conjecture,(epred1_2(xi,xj)|epred1_2(xj,xi)|~aElementOf0(xj,szNzAzT0)|~aElementOf0(xi,szNzAzT0)),inference(spm,[status(thm)],[4513,7272,theory(equality)])).
% cnf(61208,negated_conjecture,(epred1_2(xi,xj)|epred1_2(xj,xi)|$false|~aElementOf0(xi,szNzAzT0)),inference(rw,[status(thm)],[61202,4347,theory(equality)])).
% cnf(61209,negated_conjecture,(epred1_2(xi,xj)|epred1_2(xj,xi)|$false|$false),inference(rw,[status(thm)],[61208,4348,theory(equality)])).
% cnf(61210,negated_conjecture,(epred1_2(xi,xj)|epred1_2(xj,xi)),inference(cn,[status(thm)],[61209,theory(equality)])).
% cnf(61215,plain,(epred1_2(xj,xi)|szmzizndt0(sdtlpdtrp0(xN,xi))!=szmzizndt0(sdtlpdtrp0(xN,xj))),inference(spm,[status(thm)],[4534,61210,theory(equality)])).
% cnf(61222,plain,(epred1_2(xj,xi)|$false),inference(rw,[status(thm)],[61215,4515,theory(equality)])).
% cnf(61223,plain,(epred1_2(xj,xi)),inference(cn,[status(thm)],[61222,theory(equality)])).
% cnf(61229,plain,(szmzizndt0(sdtlpdtrp0(xN,xj))!=szmzizndt0(sdtlpdtrp0(xN,xi))),inference(spm,[status(thm)],[4534,61223,theory(equality)])).
% cnf(61238,plain,($false),inference(rw,[status(thm)],[61229,4515,theory(equality)])).
% cnf(61239,plain,($false),inference(cn,[status(thm)],[61238,theory(equality)])).
% cnf(61240,plain,($false),61239,['proof']).
% # SZS output end CNFRefutation
% # Processed clauses : 5500
% # ...of these trivial : 1
% # ...subsumed : 283
% # ...remaining for further processing: 5216
% # Other redundant clauses eliminated : 13
% # Clauses deleted for lack of memory : 0
% # Backward-subsumed : 0
% # Backward-rewritten : 4
% # Generated clauses : 48664
% # ...of the previous two non-trivial : 35359
% # Contextual simplify-reflections : 2548
% # Paramodulations : 48626
% # Factorizations : 0
% # Equation resolutions : 38
% # Current number of processed clauses: 2609
% # Positive orientable unit clauses: 30
% # Positive unorientable unit clauses: 0
% # Negative unit clauses : 6
% # Non-unit-clauses : 2573
% # Current number of unprocessed clauses: 35327
% # ...number of literals in the above : 576108
% # Clause-clause subsumption calls (NU) : 465504
% # Rec. Clause-clause subsumption calls : 39237
% # Unit Clause-clause subsumption calls : 8139
% # Rewrite failures with RHS unbound : 0
% # Indexed BW rewrite attempts : 2
% # Indexed BW rewrite successes : 2
% # Backwards rewriting index: 253 leaves, 2.20+/-2.628 terms/leaf
% # Paramod-from index: 111 leaves, 1.03+/-0.162 terms/leaf
% # Paramod-into index: 217 leaves, 1.59+/-1.448 terms/leaf
% # -------------------------------------------------
% # User time : 7.337 s
% # System time : 0.155 s
% # Total time : 7.492 s
% # Maximum resident set size: 0 pages
% PrfWatch: 9.83 CPU 9.96 WC
% FINAL PrfWatch: 9.83 CPU 9.96 WC
% SZS output end Solution for /tmp/SystemOnTPTP32409/NUM578+3.tptp
%
%------------------------------------------------------------------------------