TSTP Solution File: NUM631+3 by SRASS---0.1
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- Process Solution
%------------------------------------------------------------------------------
% File : SRASS---0.1
% Problem : NUM631+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 : art02.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 20:43:17 EST 2010
% Result : Theorem 14.61s
% Output : Solution 14.61s
% 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/SystemOnTPTP13492/NUM631+3.tptp
% Adding relevance values
% Extracting the conjecture
% Sorting axioms by relevance
% Looking for THM ...
% found
% SZS status THM for /tmp/SystemOnTPTP13492/NUM631+3.tptp
% SZS output start Solution for /tmp/SystemOnTPTP13492/NUM631+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 13588
% TreeLimitedRun: ----------------------------------------------------------
% PrfWatch: 0.00 CPU 0.00 WC
% PrfWatch: 1.93 CPU 2.01 WC
% PrfWatch: 3.92 CPU 4.01 WC
% PrfWatch: 5.91 CPU 6.02 WC
% PrfWatch: 7.90 CPU 8.02 WC
% PrfWatch: 9.90 CPU 10.03 WC
% # Preprocessing time : 0.617 s
% # Problem is unsatisfiable (or provable), constructing proof object
% # SZS status Theorem
% PrfWatch: 11.88 CPU 12.03 WC
% # SZS output start CNFRefutation.
% fof(13, axiom,![X1]:(aSet0(X1)=>![X2]:(aElementOf0(X2,X1)=>sdtpldt0(sdtmndt0(X1,X2),X2)=X1)),file('/tmp/SRASS.s.p', mConsDiff)).
% fof(75, axiom,((aFunction0(xe)&szDzozmdt0(xe)=szNzAzT0)&![X1]:(aElementOf0(X1,szNzAzT0)=>((aElementOf0(sdtlpdtrp0(xe,X1),sdtlpdtrp0(xN,X1))&![X2]:(aElementOf0(X2,sdtlpdtrp0(xN,X1))=>sdtlseqdt0(sdtlpdtrp0(xe,X1),X2)))&sdtlpdtrp0(xe,X1)=szmzizndt0(sdtlpdtrp0(xN,X1))))),file('/tmp/SRASS.s.p', m__4660)).
% fof(76, axiom,((aFunction0(xd)&szDzozmdt0(xd)=szNzAzT0)&![X1]:(aElementOf0(X1,szNzAzT0)=>![X2]:((aSet0(X2)&(((![X3]:(aElementOf0(X3,X2)=>aElementOf0(X3,sdtlpdtrp0(xN,szszuzczcdt0(X1))))|aSubsetOf0(X2,sdtlpdtrp0(xN,szszuzczcdt0(X1))))&sbrdtbr0(X2)=xk)|aElementOf0(X2,slbdtsldtrb0(sdtlpdtrp0(xN,szszuzczcdt0(X1)),xk))))=>sdtlpdtrp0(xd,X1)=sdtlpdtrp0(sdtlpdtrp0(xC,X1),X2)))),file('/tmp/SRASS.s.p', m__4730)).
% fof(78, axiom,((aElementOf0(szDzizrdt0(xd),xT)&aSet0(sdtlbdtrb0(xd,szDzizrdt0(xd))))&![X1]:(aElementOf0(X1,sdtlbdtrb0(xd,szDzizrdt0(xd)))<=>(aElementOf0(X1,szDzozmdt0(xd))&sdtlpdtrp0(xd,X1)=szDzizrdt0(xd)))),file('/tmp/SRASS.s.p', m__4854)).
% fof(83, axiom,((((aSet0(xQ)&![X1]:(aElementOf0(X1,xQ)=>aElementOf0(X1,xO)))&aSubsetOf0(xQ,xO))&sbrdtbr0(xQ)=xK)&aElementOf0(xQ,slbdtsldtrb0(xO,xK))),file('/tmp/SRASS.s.p', m__5078)).
% fof(87, axiom,((aElementOf0(xp,xQ)&![X1]:(aElementOf0(X1,xQ)=>sdtlseqdt0(xp,X1)))&xp=szmzizndt0(xQ)),file('/tmp/SRASS.s.p', m__5147)).
% fof(88, axiom,(((aSet0(xP)&![X1]:(aElementOf0(X1,xQ)=>sdtlseqdt0(szmzizndt0(xQ),X1)))&![X1]:(aElementOf0(X1,xP)<=>((aElement0(X1)&aElementOf0(X1,xQ))&~(X1=szmzizndt0(xQ)))))&xP=sdtmndt0(xQ,szmzizndt0(xQ))),file('/tmp/SRASS.s.p', m__5164)).
% fof(90, axiom,?[X1]:(aElementOf0(X1,sdtlbdtrb0(xd,szDzizrdt0(xd)))&sdtlpdtrp0(xe,X1)=xp),file('/tmp/SRASS.s.p', m__5182)).
% fof(93, axiom,sbrdtbr0(xP)=xk,file('/tmp/SRASS.s.p', m__5217)).
% fof(95, axiom,((((aElementOf0(xn,szDzozmdt0(xd))&sdtlpdtrp0(xd,xn)=szDzizrdt0(xd))&aElementOf0(xn,sdtlbdtrb0(xd,szDzizrdt0(xd))))&aElementOf0(xn,szNzAzT0))&sdtlpdtrp0(xe,xn)=xp),file('/tmp/SRASS.s.p', m__5309)).
% fof(97, axiom,(![X1]:(aElementOf0(X1,xP)=>aElementOf0(X1,sdtlpdtrp0(xN,szszuzczcdt0(xn))))&aSubsetOf0(xP,sdtlpdtrp0(xN,szszuzczcdt0(xn)))),file('/tmp/SRASS.s.p', m__5334)).
% fof(100, axiom,(((![X1]:(aElementOf0(X1,sdtlpdtrp0(xN,xn))=>sdtlseqdt0(szmzizndt0(sdtlpdtrp0(xN,xn)),X1))&aSet0(sdtpldt0(xP,szmzizndt0(sdtlpdtrp0(xN,xn)))))&![X1]:(aElementOf0(X1,sdtpldt0(xP,szmzizndt0(sdtlpdtrp0(xN,xn))))<=>(aElement0(X1)&(aElementOf0(X1,xP)|X1=szmzizndt0(sdtlpdtrp0(xN,xn))))))&sdtlpdtrp0(xc,sdtpldt0(xP,szmzizndt0(sdtlpdtrp0(xN,xn))))=sdtlpdtrp0(sdtlpdtrp0(xC,xn),xP)),file('/tmp/SRASS.s.p', m__5632)).
% fof(117, conjecture,sdtlpdtrp0(xc,xQ)=sdtlpdtrp0(xd,xn),file('/tmp/SRASS.s.p', m__)).
% fof(118, negated_conjecture,~(sdtlpdtrp0(xc,xQ)=sdtlpdtrp0(xd,xn)),inference(assume_negation,[status(cth)],[117])).
% fof(131, negated_conjecture,~(sdtlpdtrp0(xc,xQ)=sdtlpdtrp0(xd,xn)),inference(fof_simplification,[status(thm)],[118,theory(equality)])).
% fof(209, plain,![X1]:(~(aSet0(X1))|![X2]:(~(aElementOf0(X2,X1))|sdtpldt0(sdtmndt0(X1,X2),X2)=X1)),inference(fof_nnf,[status(thm)],[13])).
% fof(210, plain,![X3]:(~(aSet0(X3))|![X4]:(~(aElementOf0(X4,X3))|sdtpldt0(sdtmndt0(X3,X4),X4)=X3)),inference(variable_rename,[status(thm)],[209])).
% fof(211, plain,![X3]:![X4]:((~(aElementOf0(X4,X3))|sdtpldt0(sdtmndt0(X3,X4),X4)=X3)|~(aSet0(X3))),inference(shift_quantors,[status(thm)],[210])).
% cnf(212,plain,(sdtpldt0(sdtmndt0(X1,X2),X2)=X1|~aSet0(X1)|~aElementOf0(X2,X1)),inference(split_conjunct,[status(thm)],[211])).
% fof(4521, plain,((aFunction0(xe)&szDzozmdt0(xe)=szNzAzT0)&![X1]:(~(aElementOf0(X1,szNzAzT0))|((aElementOf0(sdtlpdtrp0(xe,X1),sdtlpdtrp0(xN,X1))&![X2]:(~(aElementOf0(X2,sdtlpdtrp0(xN,X1)))|sdtlseqdt0(sdtlpdtrp0(xe,X1),X2)))&sdtlpdtrp0(xe,X1)=szmzizndt0(sdtlpdtrp0(xN,X1))))),inference(fof_nnf,[status(thm)],[75])).
% fof(4522, plain,((aFunction0(xe)&szDzozmdt0(xe)=szNzAzT0)&![X3]:(~(aElementOf0(X3,szNzAzT0))|((aElementOf0(sdtlpdtrp0(xe,X3),sdtlpdtrp0(xN,X3))&![X4]:(~(aElementOf0(X4,sdtlpdtrp0(xN,X3)))|sdtlseqdt0(sdtlpdtrp0(xe,X3),X4)))&sdtlpdtrp0(xe,X3)=szmzizndt0(sdtlpdtrp0(xN,X3))))),inference(variable_rename,[status(thm)],[4521])).
% fof(4523, plain,![X3]:![X4]:(((((~(aElementOf0(X4,sdtlpdtrp0(xN,X3)))|sdtlseqdt0(sdtlpdtrp0(xe,X3),X4))&aElementOf0(sdtlpdtrp0(xe,X3),sdtlpdtrp0(xN,X3)))&sdtlpdtrp0(xe,X3)=szmzizndt0(sdtlpdtrp0(xN,X3)))|~(aElementOf0(X3,szNzAzT0)))&(aFunction0(xe)&szDzozmdt0(xe)=szNzAzT0)),inference(shift_quantors,[status(thm)],[4522])).
% fof(4524, plain,![X3]:![X4]:(((((~(aElementOf0(X4,sdtlpdtrp0(xN,X3)))|sdtlseqdt0(sdtlpdtrp0(xe,X3),X4))|~(aElementOf0(X3,szNzAzT0)))&(aElementOf0(sdtlpdtrp0(xe,X3),sdtlpdtrp0(xN,X3))|~(aElementOf0(X3,szNzAzT0))))&(sdtlpdtrp0(xe,X3)=szmzizndt0(sdtlpdtrp0(xN,X3))|~(aElementOf0(X3,szNzAzT0))))&(aFunction0(xe)&szDzozmdt0(xe)=szNzAzT0)),inference(distribute,[status(thm)],[4523])).
% cnf(4527,plain,(sdtlpdtrp0(xe,X1)=szmzizndt0(sdtlpdtrp0(xN,X1))|~aElementOf0(X1,szNzAzT0)),inference(split_conjunct,[status(thm)],[4524])).
% fof(4530, plain,((aFunction0(xd)&szDzozmdt0(xd)=szNzAzT0)&![X1]:(~(aElementOf0(X1,szNzAzT0))|![X2]:((~(aSet0(X2))|(((?[X3]:(aElementOf0(X3,X2)&~(aElementOf0(X3,sdtlpdtrp0(xN,szszuzczcdt0(X1)))))&~(aSubsetOf0(X2,sdtlpdtrp0(xN,szszuzczcdt0(X1)))))|~(sbrdtbr0(X2)=xk))&~(aElementOf0(X2,slbdtsldtrb0(sdtlpdtrp0(xN,szszuzczcdt0(X1)),xk)))))|sdtlpdtrp0(xd,X1)=sdtlpdtrp0(sdtlpdtrp0(xC,X1),X2)))),inference(fof_nnf,[status(thm)],[76])).
% fof(4531, plain,((aFunction0(xd)&szDzozmdt0(xd)=szNzAzT0)&![X4]:(~(aElementOf0(X4,szNzAzT0))|![X5]:((~(aSet0(X5))|(((?[X6]:(aElementOf0(X6,X5)&~(aElementOf0(X6,sdtlpdtrp0(xN,szszuzczcdt0(X4)))))&~(aSubsetOf0(X5,sdtlpdtrp0(xN,szszuzczcdt0(X4)))))|~(sbrdtbr0(X5)=xk))&~(aElementOf0(X5,slbdtsldtrb0(sdtlpdtrp0(xN,szszuzczcdt0(X4)),xk)))))|sdtlpdtrp0(xd,X4)=sdtlpdtrp0(sdtlpdtrp0(xC,X4),X5)))),inference(variable_rename,[status(thm)],[4530])).
% fof(4532, plain,((aFunction0(xd)&szDzozmdt0(xd)=szNzAzT0)&![X4]:(~(aElementOf0(X4,szNzAzT0))|![X5]:((~(aSet0(X5))|((((aElementOf0(esk31_2(X4,X5),X5)&~(aElementOf0(esk31_2(X4,X5),sdtlpdtrp0(xN,szszuzczcdt0(X4)))))&~(aSubsetOf0(X5,sdtlpdtrp0(xN,szszuzczcdt0(X4)))))|~(sbrdtbr0(X5)=xk))&~(aElementOf0(X5,slbdtsldtrb0(sdtlpdtrp0(xN,szszuzczcdt0(X4)),xk)))))|sdtlpdtrp0(xd,X4)=sdtlpdtrp0(sdtlpdtrp0(xC,X4),X5)))),inference(skolemize,[status(esa)],[4531])).
% fof(4533, plain,![X4]:![X5]:((((~(aSet0(X5))|((((aElementOf0(esk31_2(X4,X5),X5)&~(aElementOf0(esk31_2(X4,X5),sdtlpdtrp0(xN,szszuzczcdt0(X4)))))&~(aSubsetOf0(X5,sdtlpdtrp0(xN,szszuzczcdt0(X4)))))|~(sbrdtbr0(X5)=xk))&~(aElementOf0(X5,slbdtsldtrb0(sdtlpdtrp0(xN,szszuzczcdt0(X4)),xk)))))|sdtlpdtrp0(xd,X4)=sdtlpdtrp0(sdtlpdtrp0(xC,X4),X5))|~(aElementOf0(X4,szNzAzT0)))&(aFunction0(xd)&szDzozmdt0(xd)=szNzAzT0)),inference(shift_quantors,[status(thm)],[4532])).
% fof(4534, plain,![X4]:![X5]:((((((((aElementOf0(esk31_2(X4,X5),X5)|~(sbrdtbr0(X5)=xk))|~(aSet0(X5)))|sdtlpdtrp0(xd,X4)=sdtlpdtrp0(sdtlpdtrp0(xC,X4),X5))|~(aElementOf0(X4,szNzAzT0)))&((((~(aElementOf0(esk31_2(X4,X5),sdtlpdtrp0(xN,szszuzczcdt0(X4))))|~(sbrdtbr0(X5)=xk))|~(aSet0(X5)))|sdtlpdtrp0(xd,X4)=sdtlpdtrp0(sdtlpdtrp0(xC,X4),X5))|~(aElementOf0(X4,szNzAzT0))))&((((~(aSubsetOf0(X5,sdtlpdtrp0(xN,szszuzczcdt0(X4))))|~(sbrdtbr0(X5)=xk))|~(aSet0(X5)))|sdtlpdtrp0(xd,X4)=sdtlpdtrp0(sdtlpdtrp0(xC,X4),X5))|~(aElementOf0(X4,szNzAzT0))))&(((~(aElementOf0(X5,slbdtsldtrb0(sdtlpdtrp0(xN,szszuzczcdt0(X4)),xk)))|~(aSet0(X5)))|sdtlpdtrp0(xd,X4)=sdtlpdtrp0(sdtlpdtrp0(xC,X4),X5))|~(aElementOf0(X4,szNzAzT0))))&(aFunction0(xd)&szDzozmdt0(xd)=szNzAzT0)),inference(distribute,[status(thm)],[4533])).
% cnf(4538,plain,(sdtlpdtrp0(xd,X1)=sdtlpdtrp0(sdtlpdtrp0(xC,X1),X2)|~aElementOf0(X1,szNzAzT0)|~aSet0(X2)|sbrdtbr0(X2)!=xk|~aSubsetOf0(X2,sdtlpdtrp0(xN,szszuzczcdt0(X1)))),inference(split_conjunct,[status(thm)],[4534])).
% fof(4552, plain,((aElementOf0(szDzizrdt0(xd),xT)&aSet0(sdtlbdtrb0(xd,szDzizrdt0(xd))))&![X1]:((~(aElementOf0(X1,sdtlbdtrb0(xd,szDzizrdt0(xd))))|(aElementOf0(X1,szDzozmdt0(xd))&sdtlpdtrp0(xd,X1)=szDzizrdt0(xd)))&((~(aElementOf0(X1,szDzozmdt0(xd)))|~(sdtlpdtrp0(xd,X1)=szDzizrdt0(xd)))|aElementOf0(X1,sdtlbdtrb0(xd,szDzizrdt0(xd)))))),inference(fof_nnf,[status(thm)],[78])).
% fof(4553, plain,((aElementOf0(szDzizrdt0(xd),xT)&aSet0(sdtlbdtrb0(xd,szDzizrdt0(xd))))&![X2]:((~(aElementOf0(X2,sdtlbdtrb0(xd,szDzizrdt0(xd))))|(aElementOf0(X2,szDzozmdt0(xd))&sdtlpdtrp0(xd,X2)=szDzizrdt0(xd)))&((~(aElementOf0(X2,szDzozmdt0(xd)))|~(sdtlpdtrp0(xd,X2)=szDzizrdt0(xd)))|aElementOf0(X2,sdtlbdtrb0(xd,szDzizrdt0(xd)))))),inference(variable_rename,[status(thm)],[4552])).
% fof(4554, plain,![X2]:(((~(aElementOf0(X2,sdtlbdtrb0(xd,szDzizrdt0(xd))))|(aElementOf0(X2,szDzozmdt0(xd))&sdtlpdtrp0(xd,X2)=szDzizrdt0(xd)))&((~(aElementOf0(X2,szDzozmdt0(xd)))|~(sdtlpdtrp0(xd,X2)=szDzizrdt0(xd)))|aElementOf0(X2,sdtlbdtrb0(xd,szDzizrdt0(xd)))))&(aElementOf0(szDzizrdt0(xd),xT)&aSet0(sdtlbdtrb0(xd,szDzizrdt0(xd))))),inference(shift_quantors,[status(thm)],[4553])).
% fof(4555, plain,![X2]:((((aElementOf0(X2,szDzozmdt0(xd))|~(aElementOf0(X2,sdtlbdtrb0(xd,szDzizrdt0(xd)))))&(sdtlpdtrp0(xd,X2)=szDzizrdt0(xd)|~(aElementOf0(X2,sdtlbdtrb0(xd,szDzizrdt0(xd))))))&((~(aElementOf0(X2,szDzozmdt0(xd)))|~(sdtlpdtrp0(xd,X2)=szDzizrdt0(xd)))|aElementOf0(X2,sdtlbdtrb0(xd,szDzizrdt0(xd)))))&(aElementOf0(szDzizrdt0(xd),xT)&aSet0(sdtlbdtrb0(xd,szDzizrdt0(xd))))),inference(distribute,[status(thm)],[4554])).
% cnf(4559,plain,(sdtlpdtrp0(xd,X1)=szDzizrdt0(xd)|~aElementOf0(X1,sdtlbdtrb0(xd,szDzizrdt0(xd)))),inference(split_conjunct,[status(thm)],[4555])).
% fof(4595, plain,((((aSet0(xQ)&![X1]:(~(aElementOf0(X1,xQ))|aElementOf0(X1,xO)))&aSubsetOf0(xQ,xO))&sbrdtbr0(xQ)=xK)&aElementOf0(xQ,slbdtsldtrb0(xO,xK))),inference(fof_nnf,[status(thm)],[83])).
% fof(4596, plain,((((aSet0(xQ)&![X2]:(~(aElementOf0(X2,xQ))|aElementOf0(X2,xO)))&aSubsetOf0(xQ,xO))&sbrdtbr0(xQ)=xK)&aElementOf0(xQ,slbdtsldtrb0(xO,xK))),inference(variable_rename,[status(thm)],[4595])).
% fof(4597, plain,![X2]:(((((~(aElementOf0(X2,xQ))|aElementOf0(X2,xO))&aSet0(xQ))&aSubsetOf0(xQ,xO))&sbrdtbr0(xQ)=xK)&aElementOf0(xQ,slbdtsldtrb0(xO,xK))),inference(shift_quantors,[status(thm)],[4596])).
% cnf(4601,plain,(aSet0(xQ)),inference(split_conjunct,[status(thm)],[4597])).
% fof(4623, plain,((aElementOf0(xp,xQ)&![X1]:(~(aElementOf0(X1,xQ))|sdtlseqdt0(xp,X1)))&xp=szmzizndt0(xQ)),inference(fof_nnf,[status(thm)],[87])).
% fof(4624, plain,((aElementOf0(xp,xQ)&![X2]:(~(aElementOf0(X2,xQ))|sdtlseqdt0(xp,X2)))&xp=szmzizndt0(xQ)),inference(variable_rename,[status(thm)],[4623])).
% fof(4625, plain,![X2]:(((~(aElementOf0(X2,xQ))|sdtlseqdt0(xp,X2))&aElementOf0(xp,xQ))&xp=szmzizndt0(xQ)),inference(shift_quantors,[status(thm)],[4624])).
% cnf(4626,plain,(xp=szmzizndt0(xQ)),inference(split_conjunct,[status(thm)],[4625])).
% cnf(4627,plain,(aElementOf0(xp,xQ)),inference(split_conjunct,[status(thm)],[4625])).
% fof(4629, plain,(((aSet0(xP)&![X1]:(~(aElementOf0(X1,xQ))|sdtlseqdt0(szmzizndt0(xQ),X1)))&![X1]:((~(aElementOf0(X1,xP))|((aElement0(X1)&aElementOf0(X1,xQ))&~(X1=szmzizndt0(xQ))))&(((~(aElement0(X1))|~(aElementOf0(X1,xQ)))|X1=szmzizndt0(xQ))|aElementOf0(X1,xP))))&xP=sdtmndt0(xQ,szmzizndt0(xQ))),inference(fof_nnf,[status(thm)],[88])).
% fof(4630, plain,(((aSet0(xP)&![X2]:(~(aElementOf0(X2,xQ))|sdtlseqdt0(szmzizndt0(xQ),X2)))&![X3]:((~(aElementOf0(X3,xP))|((aElement0(X3)&aElementOf0(X3,xQ))&~(X3=szmzizndt0(xQ))))&(((~(aElement0(X3))|~(aElementOf0(X3,xQ)))|X3=szmzizndt0(xQ))|aElementOf0(X3,xP))))&xP=sdtmndt0(xQ,szmzizndt0(xQ))),inference(variable_rename,[status(thm)],[4629])).
% fof(4631, plain,![X2]:![X3]:((((~(aElementOf0(X3,xP))|((aElement0(X3)&aElementOf0(X3,xQ))&~(X3=szmzizndt0(xQ))))&(((~(aElement0(X3))|~(aElementOf0(X3,xQ)))|X3=szmzizndt0(xQ))|aElementOf0(X3,xP)))&((~(aElementOf0(X2,xQ))|sdtlseqdt0(szmzizndt0(xQ),X2))&aSet0(xP)))&xP=sdtmndt0(xQ,szmzizndt0(xQ))),inference(shift_quantors,[status(thm)],[4630])).
% fof(4632, plain,![X2]:![X3]:((((((aElement0(X3)|~(aElementOf0(X3,xP)))&(aElementOf0(X3,xQ)|~(aElementOf0(X3,xP))))&(~(X3=szmzizndt0(xQ))|~(aElementOf0(X3,xP))))&(((~(aElement0(X3))|~(aElementOf0(X3,xQ)))|X3=szmzizndt0(xQ))|aElementOf0(X3,xP)))&((~(aElementOf0(X2,xQ))|sdtlseqdt0(szmzizndt0(xQ),X2))&aSet0(xP)))&xP=sdtmndt0(xQ,szmzizndt0(xQ))),inference(distribute,[status(thm)],[4631])).
% cnf(4633,plain,(xP=sdtmndt0(xQ,szmzizndt0(xQ))),inference(split_conjunct,[status(thm)],[4632])).
% cnf(4634,plain,(aSet0(xP)),inference(split_conjunct,[status(thm)],[4632])).
% fof(4641, plain,?[X2]:(aElementOf0(X2,sdtlbdtrb0(xd,szDzizrdt0(xd)))&sdtlpdtrp0(xe,X2)=xp),inference(variable_rename,[status(thm)],[90])).
% fof(4642, plain,(aElementOf0(esk36_0,sdtlbdtrb0(xd,szDzizrdt0(xd)))&sdtlpdtrp0(xe,esk36_0)=xp),inference(skolemize,[status(esa)],[4641])).
% cnf(4644,plain,(aElementOf0(esk36_0,sdtlbdtrb0(xd,szDzizrdt0(xd)))),inference(split_conjunct,[status(thm)],[4642])).
% cnf(4655,plain,(sbrdtbr0(xP)=xk),inference(split_conjunct,[status(thm)],[93])).
% cnf(4657,plain,(sdtlpdtrp0(xe,xn)=xp),inference(split_conjunct,[status(thm)],[95])).
% cnf(4658,plain,(aElementOf0(xn,szNzAzT0)),inference(split_conjunct,[status(thm)],[95])).
% cnf(4660,plain,(sdtlpdtrp0(xd,xn)=szDzizrdt0(xd)),inference(split_conjunct,[status(thm)],[95])).
% fof(4663, plain,(![X1]:(~(aElementOf0(X1,xP))|aElementOf0(X1,sdtlpdtrp0(xN,szszuzczcdt0(xn))))&aSubsetOf0(xP,sdtlpdtrp0(xN,szszuzczcdt0(xn)))),inference(fof_nnf,[status(thm)],[97])).
% fof(4664, plain,(![X2]:(~(aElementOf0(X2,xP))|aElementOf0(X2,sdtlpdtrp0(xN,szszuzczcdt0(xn))))&aSubsetOf0(xP,sdtlpdtrp0(xN,szszuzczcdt0(xn)))),inference(variable_rename,[status(thm)],[4663])).
% fof(4665, plain,![X2]:((~(aElementOf0(X2,xP))|aElementOf0(X2,sdtlpdtrp0(xN,szszuzczcdt0(xn))))&aSubsetOf0(xP,sdtlpdtrp0(xN,szszuzczcdt0(xn)))),inference(shift_quantors,[status(thm)],[4664])).
% cnf(4666,plain,(aSubsetOf0(xP,sdtlpdtrp0(xN,szszuzczcdt0(xn)))),inference(split_conjunct,[status(thm)],[4665])).
% fof(4685, plain,(((![X1]:(~(aElementOf0(X1,sdtlpdtrp0(xN,xn)))|sdtlseqdt0(szmzizndt0(sdtlpdtrp0(xN,xn)),X1))&aSet0(sdtpldt0(xP,szmzizndt0(sdtlpdtrp0(xN,xn)))))&![X1]:((~(aElementOf0(X1,sdtpldt0(xP,szmzizndt0(sdtlpdtrp0(xN,xn)))))|(aElement0(X1)&(aElementOf0(X1,xP)|X1=szmzizndt0(sdtlpdtrp0(xN,xn)))))&((~(aElement0(X1))|(~(aElementOf0(X1,xP))&~(X1=szmzizndt0(sdtlpdtrp0(xN,xn)))))|aElementOf0(X1,sdtpldt0(xP,szmzizndt0(sdtlpdtrp0(xN,xn)))))))&sdtlpdtrp0(xc,sdtpldt0(xP,szmzizndt0(sdtlpdtrp0(xN,xn))))=sdtlpdtrp0(sdtlpdtrp0(xC,xn),xP)),inference(fof_nnf,[status(thm)],[100])).
% fof(4686, plain,(((![X2]:(~(aElementOf0(X2,sdtlpdtrp0(xN,xn)))|sdtlseqdt0(szmzizndt0(sdtlpdtrp0(xN,xn)),X2))&aSet0(sdtpldt0(xP,szmzizndt0(sdtlpdtrp0(xN,xn)))))&![X3]:((~(aElementOf0(X3,sdtpldt0(xP,szmzizndt0(sdtlpdtrp0(xN,xn)))))|(aElement0(X3)&(aElementOf0(X3,xP)|X3=szmzizndt0(sdtlpdtrp0(xN,xn)))))&((~(aElement0(X3))|(~(aElementOf0(X3,xP))&~(X3=szmzizndt0(sdtlpdtrp0(xN,xn)))))|aElementOf0(X3,sdtpldt0(xP,szmzizndt0(sdtlpdtrp0(xN,xn)))))))&sdtlpdtrp0(xc,sdtpldt0(xP,szmzizndt0(sdtlpdtrp0(xN,xn))))=sdtlpdtrp0(sdtlpdtrp0(xC,xn),xP)),inference(variable_rename,[status(thm)],[4685])).
% fof(4687, plain,![X2]:![X3]:((((~(aElementOf0(X3,sdtpldt0(xP,szmzizndt0(sdtlpdtrp0(xN,xn)))))|(aElement0(X3)&(aElementOf0(X3,xP)|X3=szmzizndt0(sdtlpdtrp0(xN,xn)))))&((~(aElement0(X3))|(~(aElementOf0(X3,xP))&~(X3=szmzizndt0(sdtlpdtrp0(xN,xn)))))|aElementOf0(X3,sdtpldt0(xP,szmzizndt0(sdtlpdtrp0(xN,xn))))))&((~(aElementOf0(X2,sdtlpdtrp0(xN,xn)))|sdtlseqdt0(szmzizndt0(sdtlpdtrp0(xN,xn)),X2))&aSet0(sdtpldt0(xP,szmzizndt0(sdtlpdtrp0(xN,xn))))))&sdtlpdtrp0(xc,sdtpldt0(xP,szmzizndt0(sdtlpdtrp0(xN,xn))))=sdtlpdtrp0(sdtlpdtrp0(xC,xn),xP)),inference(shift_quantors,[status(thm)],[4686])).
% fof(4688, plain,![X2]:![X3]:(((((aElement0(X3)|~(aElementOf0(X3,sdtpldt0(xP,szmzizndt0(sdtlpdtrp0(xN,xn))))))&((aElementOf0(X3,xP)|X3=szmzizndt0(sdtlpdtrp0(xN,xn)))|~(aElementOf0(X3,sdtpldt0(xP,szmzizndt0(sdtlpdtrp0(xN,xn)))))))&(((~(aElementOf0(X3,xP))|~(aElement0(X3)))|aElementOf0(X3,sdtpldt0(xP,szmzizndt0(sdtlpdtrp0(xN,xn)))))&((~(X3=szmzizndt0(sdtlpdtrp0(xN,xn)))|~(aElement0(X3)))|aElementOf0(X3,sdtpldt0(xP,szmzizndt0(sdtlpdtrp0(xN,xn)))))))&((~(aElementOf0(X2,sdtlpdtrp0(xN,xn)))|sdtlseqdt0(szmzizndt0(sdtlpdtrp0(xN,xn)),X2))&aSet0(sdtpldt0(xP,szmzizndt0(sdtlpdtrp0(xN,xn))))))&sdtlpdtrp0(xc,sdtpldt0(xP,szmzizndt0(sdtlpdtrp0(xN,xn))))=sdtlpdtrp0(sdtlpdtrp0(xC,xn),xP)),inference(distribute,[status(thm)],[4687])).
% cnf(4689,plain,(sdtlpdtrp0(xc,sdtpldt0(xP,szmzizndt0(sdtlpdtrp0(xN,xn))))=sdtlpdtrp0(sdtlpdtrp0(xC,xn),xP)),inference(split_conjunct,[status(thm)],[4688])).
% cnf(4765,negated_conjecture,(sdtlpdtrp0(xc,xQ)!=sdtlpdtrp0(xd,xn)),inference(split_conjunct,[status(thm)],[131])).
% cnf(5421,plain,(sdtmndt0(xQ,xp)=xP),inference(rw,[status(thm)],[4633,4626,theory(equality)])).
% cnf(5429,plain,(aElementOf0(esk36_0,sdtlbdtrb0(xd,sdtlpdtrp0(xd,xn)))),inference(rw,[status(thm)],[4644,4660,theory(equality)])).
% cnf(5435,plain,(sdtlpdtrp0(xd,X1)=sdtlpdtrp0(xd,xn)|~aElementOf0(X1,sdtlbdtrb0(xd,szDzizrdt0(xd)))),inference(rw,[status(thm)],[4559,4660,theory(equality)])).
% cnf(5436,plain,(sdtlpdtrp0(xd,X1)=sdtlpdtrp0(xd,xn)|~aElementOf0(X1,sdtlbdtrb0(xd,sdtlpdtrp0(xd,xn)))),inference(rw,[status(thm)],[5435,4660,theory(equality)])).
% cnf(8816,plain,(sdtlpdtrp0(xd,esk36_0)=sdtlpdtrp0(xd,xn)),inference(spm,[status(thm)],[5436,5429,theory(equality)])).
% cnf(8909,plain,(sdtpldt0(xP,xp)=xQ|~aElementOf0(xp,xQ)|~aSet0(xQ)),inference(spm,[status(thm)],[212,5421,theory(equality)])).
% cnf(8911,plain,(sdtpldt0(xP,xp)=xQ|$false|~aSet0(xQ)),inference(rw,[status(thm)],[8909,4627,theory(equality)])).
% cnf(8912,plain,(sdtpldt0(xP,xp)=xQ|$false|$false),inference(rw,[status(thm)],[8911,4601,theory(equality)])).
% cnf(8913,plain,(sdtpldt0(xP,xp)=xQ),inference(cn,[status(thm)],[8912,theory(equality)])).
% cnf(10902,plain,(sdtlpdtrp0(sdtlpdtrp0(xC,xn),xP)=sdtlpdtrp0(xd,xn)|sbrdtbr0(xP)!=xk|~aElementOf0(xn,szNzAzT0)|~aSet0(xP)),inference(spm,[status(thm)],[4538,4666,theory(equality)])).
% cnf(10907,plain,(sdtlpdtrp0(sdtlpdtrp0(xC,xn),xP)=sdtlpdtrp0(xd,xn)|$false|~aElementOf0(xn,szNzAzT0)|~aSet0(xP)),inference(rw,[status(thm)],[10902,4655,theory(equality)])).
% cnf(10908,plain,(sdtlpdtrp0(sdtlpdtrp0(xC,xn),xP)=sdtlpdtrp0(xd,xn)|$false|$false|~aSet0(xP)),inference(rw,[status(thm)],[10907,4658,theory(equality)])).
% cnf(10909,plain,(sdtlpdtrp0(sdtlpdtrp0(xC,xn),xP)=sdtlpdtrp0(xd,xn)|$false|$false|$false),inference(rw,[status(thm)],[10908,4634,theory(equality)])).
% cnf(10910,plain,(sdtlpdtrp0(sdtlpdtrp0(xC,xn),xP)=sdtlpdtrp0(xd,xn)),inference(cn,[status(thm)],[10909,theory(equality)])).
% cnf(83601,negated_conjecture,(sdtlpdtrp0(xd,esk36_0)!=sdtlpdtrp0(xc,xQ)),inference(rw,[status(thm)],[4765,8816,theory(equality)])).
% cnf(83740,plain,(sdtlpdtrp0(sdtlpdtrp0(xC,xn),xP)=sdtlpdtrp0(xd,esk36_0)),inference(rw,[status(thm)],[10910,8816,theory(equality)])).
% cnf(83743,plain,(sdtlpdtrp0(xc,sdtpldt0(xP,szmzizndt0(sdtlpdtrp0(xN,xn))))=sdtlpdtrp0(xd,esk36_0)),inference(rw,[status(thm)],[4689,83740,theory(equality)])).
% cnf(84036,plain,(sdtlpdtrp0(xc,sdtpldt0(xP,sdtlpdtrp0(xe,xn)))=sdtlpdtrp0(xd,esk36_0)|~aElementOf0(xn,szNzAzT0)),inference(spm,[status(thm)],[83743,4527,theory(equality)])).
% cnf(84042,plain,(sdtlpdtrp0(xc,sdtpldt0(xP,xp))=sdtlpdtrp0(xd,esk36_0)|~aElementOf0(xn,szNzAzT0)),inference(rw,[status(thm)],[84036,4657,theory(equality)])).
% cnf(84043,plain,(sdtlpdtrp0(xc,sdtpldt0(xP,xp))=sdtlpdtrp0(xd,esk36_0)|$false),inference(rw,[status(thm)],[84042,4658,theory(equality)])).
% cnf(84044,plain,(sdtlpdtrp0(xc,sdtpldt0(xP,xp))=sdtlpdtrp0(xd,esk36_0)),inference(cn,[status(thm)],[84043,theory(equality)])).
% cnf(86722,plain,(sdtlpdtrp0(xc,xQ)=sdtlpdtrp0(xd,esk36_0)),inference(rw,[status(thm)],[84044,8913,theory(equality)])).
% cnf(86723,plain,($false),inference(sr,[status(thm)],[86722,83601,theory(equality)])).
% cnf(86724,plain,($false),86723,['proof']).
% # SZS output end CNFRefutation
% # Processed clauses : 6865
% # ...of these trivial : 14
% # ...subsumed : 581
% # ...remaining for further processing: 6270
% # Other redundant clauses eliminated : 15
% # Clauses deleted for lack of memory : 0
% # Backward-subsumed : 5
% # Backward-rewritten : 24
% # Generated clauses : 59270
% # ...of the previous two non-trivial : 50517
% # Contextual simplify-reflections : 3070
% # Paramodulations : 59219
% # Factorizations : 0
% # Equation resolutions : 46
% # Current number of processed clauses: 3168
% # Positive orientable unit clauses: 100
% # Positive unorientable unit clauses: 0
% # Negative unit clauses : 22
% # Non-unit-clauses : 3046
% # Current number of unprocessed clauses: 49964
% # ...number of literals in the above : 732351
% # Clause-clause subsumption calls (NU) : 2012192
% # Rec. Clause-clause subsumption calls : 46631
% # Unit Clause-clause subsumption calls : 40098
% # Rewrite failures with RHS unbound : 0
% # Indexed BW rewrite attempts : 5
% # Indexed BW rewrite successes : 5
% # Backwards rewriting index: 465 leaves, 2.00+/-2.644 terms/leaf
% # Paramod-from index: 237 leaves, 1.02+/-0.129 terms/leaf
% # Paramod-into index: 421 leaves, 1.48+/-1.398 terms/leaf
% # -------------------------------------------------
% # User time : 10.407 s
% # System time : 0.204 s
% # Total time : 10.611 s
% # Maximum resident set size: 0 pages
% PrfWatch: 13.51 CPU 13.66 WC
% FINAL PrfWatch: 13.51 CPU 13.66 WC
% SZS output end Solution for /tmp/SystemOnTPTP13492/NUM631+3.tptp
%
%------------------------------------------------------------------------------