%------------------------------------------------------------------------------
% File : SRASS---0.1
% Problem : NUM619+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 : art05.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 20:39:32 EST 2010
% Result : Theorem 16.74s
% Output : Solution 16.74s
% 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/SystemOnTPTP21775/NUM619+3.tptp
% Adding relevance values
% Extracting the conjecture
% Sorting axioms by relevance
% Looking for THM ...
% found
% SZS status THM for /tmp/SystemOnTPTP21775/NUM619+3.tptp
% SZS output start Solution for /tmp/SystemOnTPTP21775/NUM619+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 21871
% 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 6.02 WC
% PrfWatch: 7.92 CPU 8.03 WC
% PrfWatch: 9.91 CPU 10.03 WC
% PrfWatch: 11.90 CPU 12.04 WC
% # Preprocessing time : 0.617 s
% # Problem is unsatisfiable (or provable), constructing proof object
% # SZS status Theorem
% PrfWatch: 13.69 CPU 14.04 WC
% PrfWatch: 15.29 CPU 16.11 WC
% # SZS output start CNFRefutation.
% fof(2, axiom,![X1]:(X1=slcrc0<=>(aSet0(X1)&~(?[X2]:aElementOf0(X2,X1)))),file('/tmp/SRASS.s.p', mDefEmp)).
% fof(21, axiom,![X1]:(aElementOf0(X1,szNzAzT0)=>(aElementOf0(szszuzczcdt0(X1),szNzAzT0)&~(szszuzczcdt0(X1)=sz00))),file('/tmp/SRASS.s.p', mSuccNum)).
% fof(30, axiom,![X1]:![X2]:((aElementOf0(X1,szNzAzT0)&aElementOf0(X2,szNzAzT0))=>((sdtlseqdt0(X1,X2)&sdtlseqdt0(X2,X1))=>X1=X2)),file('/tmp/SRASS.s.p', mLessASymm)).
% fof(32, axiom,![X1]:![X2]:((aElementOf0(X1,szNzAzT0)&aElementOf0(X2,szNzAzT0))=>(sdtlseqdt0(X1,X2)|sdtlseqdt0(szszuzczcdt0(X2),X1))),file('/tmp/SRASS.s.p', mLessTotal)).
% fof(41, axiom,![X1]:((aSubsetOf0(X1,szNzAzT0)&~(X1=slcrc0))=>![X2]:(X2=szmzizndt0(X1)<=>(aElementOf0(X2,X1)&![X3]:(aElementOf0(X3,X1)=>sdtlseqdt0(X2,X3))))),file('/tmp/SRASS.s.p', mDefMin)).
% fof(66, axiom,![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)))),file('/tmp/SRASS.s.p', m__3671)).
% fof(67, 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,((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(85, axiom,(![X1]:(aElementOf0(X1,xQ)=>aElementOf0(X1,szNzAzT0))&aSubsetOf0(xQ,szNzAzT0)),file('/tmp/SRASS.s.p', m__5106)).
% fof(87, axiom,((aElementOf0(xp,xQ)&![X1]:(aElementOf0(X1,xQ)=>sdtlseqdt0(xp,X1)))&xp=szmzizndt0(xQ)),file('/tmp/SRASS.s.p', m__5147)).
% 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,(((aElement0(xx)&aElementOf0(xx,xQ))&~(xx=szmzizndt0(xQ)))&aElementOf0(xx,xP)),file('/tmp/SRASS.s.p', m__5348)).
% fof(98, axiom,(aElementOf0(xx,szNzAzT0)&?[X1]:(aElementOf0(X1,sdtlbdtrb0(xd,szDzizrdt0(xd)))&sdtlpdtrp0(xe,X1)=xx)),file('/tmp/SRASS.s.p', m__5365)).
% fof(117, conjecture,aElementOf0(xx,sdtlpdtrp0(xN,szszuzczcdt0(xn))),file('/tmp/SRASS.s.p', m__)).
% fof(118, negated_conjecture,~(aElementOf0(xx,sdtlpdtrp0(xN,szszuzczcdt0(xn)))),inference(assume_negation,[status(cth)],[117])).
% fof(131, negated_conjecture,~(aElementOf0(xx,sdtlpdtrp0(xN,szszuzczcdt0(xn)))),inference(fof_simplification,[status(thm)],[118,theory(equality)])).
% fof(144, plain,![X1]:((~(X1=slcrc0)|(aSet0(X1)&![X2]:~(aElementOf0(X2,X1))))&((~(aSet0(X1))|?[X2]:aElementOf0(X2,X1))|X1=slcrc0)),inference(fof_nnf,[status(thm)],[2])).
% fof(145, plain,![X3]:((~(X3=slcrc0)|(aSet0(X3)&![X4]:~(aElementOf0(X4,X3))))&((~(aSet0(X3))|?[X5]:aElementOf0(X5,X3))|X3=slcrc0)),inference(variable_rename,[status(thm)],[144])).
% fof(146, plain,![X3]:((~(X3=slcrc0)|(aSet0(X3)&![X4]:~(aElementOf0(X4,X3))))&((~(aSet0(X3))|aElementOf0(esk1_1(X3),X3))|X3=slcrc0)),inference(skolemize,[status(esa)],[145])).
% fof(147, plain,![X3]:![X4]:(((~(aElementOf0(X4,X3))&aSet0(X3))|~(X3=slcrc0))&((~(aSet0(X3))|aElementOf0(esk1_1(X3),X3))|X3=slcrc0)),inference(shift_quantors,[status(thm)],[146])).
% fof(148, plain,![X3]:![X4]:(((~(aElementOf0(X4,X3))|~(X3=slcrc0))&(aSet0(X3)|~(X3=slcrc0)))&((~(aSet0(X3))|aElementOf0(esk1_1(X3),X3))|X3=slcrc0)),inference(distribute,[status(thm)],[147])).
% cnf(151,plain,(X1!=slcrc0|~aElementOf0(X2,X1)),inference(split_conjunct,[status(thm)],[148])).
% fof(235, plain,![X1]:(~(aElementOf0(X1,szNzAzT0))|(aElementOf0(szszuzczcdt0(X1),szNzAzT0)&~(szszuzczcdt0(X1)=sz00))),inference(fof_nnf,[status(thm)],[21])).
% fof(236, plain,![X2]:(~(aElementOf0(X2,szNzAzT0))|(aElementOf0(szszuzczcdt0(X2),szNzAzT0)&~(szszuzczcdt0(X2)=sz00))),inference(variable_rename,[status(thm)],[235])).
% fof(237, plain,![X2]:((aElementOf0(szszuzczcdt0(X2),szNzAzT0)|~(aElementOf0(X2,szNzAzT0)))&(~(szszuzczcdt0(X2)=sz00)|~(aElementOf0(X2,szNzAzT0)))),inference(distribute,[status(thm)],[236])).
% cnf(239,plain,(aElementOf0(szszuzczcdt0(X1),szNzAzT0)|~aElementOf0(X1,szNzAzT0)),inference(split_conjunct,[status(thm)],[237])).
% fof(269, plain,![X1]:![X2]:((~(aElementOf0(X1,szNzAzT0))|~(aElementOf0(X2,szNzAzT0)))|((~(sdtlseqdt0(X1,X2))|~(sdtlseqdt0(X2,X1)))|X1=X2)),inference(fof_nnf,[status(thm)],[30])).
% fof(270, plain,![X3]:![X4]:((~(aElementOf0(X3,szNzAzT0))|~(aElementOf0(X4,szNzAzT0)))|((~(sdtlseqdt0(X3,X4))|~(sdtlseqdt0(X4,X3)))|X3=X4)),inference(variable_rename,[status(thm)],[269])).
% cnf(271,plain,(X1=X2|~sdtlseqdt0(X2,X1)|~sdtlseqdt0(X1,X2)|~aElementOf0(X2,szNzAzT0)|~aElementOf0(X1,szNzAzT0)),inference(split_conjunct,[status(thm)],[270])).
% fof(275, plain,![X1]:![X2]:((~(aElementOf0(X1,szNzAzT0))|~(aElementOf0(X2,szNzAzT0)))|(sdtlseqdt0(X1,X2)|sdtlseqdt0(szszuzczcdt0(X2),X1))),inference(fof_nnf,[status(thm)],[32])).
% fof(276, plain,![X3]:![X4]:((~(aElementOf0(X3,szNzAzT0))|~(aElementOf0(X4,szNzAzT0)))|(sdtlseqdt0(X3,X4)|sdtlseqdt0(szszuzczcdt0(X4),X3))),inference(variable_rename,[status(thm)],[275])).
% cnf(277,plain,(sdtlseqdt0(szszuzczcdt0(X1),X2)|sdtlseqdt0(X2,X1)|~aElementOf0(X1,szNzAzT0)|~aElementOf0(X2,szNzAzT0)),inference(split_conjunct,[status(thm)],[276])).
% fof(312, plain,![X1]:((~(aSubsetOf0(X1,szNzAzT0))|X1=slcrc0)|![X2]:((~(X2=szmzizndt0(X1))|(aElementOf0(X2,X1)&![X3]:(~(aElementOf0(X3,X1))|sdtlseqdt0(X2,X3))))&((~(aElementOf0(X2,X1))|?[X3]:(aElementOf0(X3,X1)&~(sdtlseqdt0(X2,X3))))|X2=szmzizndt0(X1)))),inference(fof_nnf,[status(thm)],[41])).
% fof(313, plain,![X4]:((~(aSubsetOf0(X4,szNzAzT0))|X4=slcrc0)|![X5]:((~(X5=szmzizndt0(X4))|(aElementOf0(X5,X4)&![X6]:(~(aElementOf0(X6,X4))|sdtlseqdt0(X5,X6))))&((~(aElementOf0(X5,X4))|?[X7]:(aElementOf0(X7,X4)&~(sdtlseqdt0(X5,X7))))|X5=szmzizndt0(X4)))),inference(variable_rename,[status(thm)],[312])).
% fof(314, plain,![X4]:((~(aSubsetOf0(X4,szNzAzT0))|X4=slcrc0)|![X5]:((~(X5=szmzizndt0(X4))|(aElementOf0(X5,X4)&![X6]:(~(aElementOf0(X6,X4))|sdtlseqdt0(X5,X6))))&((~(aElementOf0(X5,X4))|(aElementOf0(esk7_2(X4,X5),X4)&~(sdtlseqdt0(X5,esk7_2(X4,X5)))))|X5=szmzizndt0(X4)))),inference(skolemize,[status(esa)],[313])).
% fof(315, plain,![X4]:![X5]:![X6]:(((((~(aElementOf0(X6,X4))|sdtlseqdt0(X5,X6))&aElementOf0(X5,X4))|~(X5=szmzizndt0(X4)))&((~(aElementOf0(X5,X4))|(aElementOf0(esk7_2(X4,X5),X4)&~(sdtlseqdt0(X5,esk7_2(X4,X5)))))|X5=szmzizndt0(X4)))|(~(aSubsetOf0(X4,szNzAzT0))|X4=slcrc0)),inference(shift_quantors,[status(thm)],[314])).
% fof(316, plain,![X4]:![X5]:![X6]:(((((~(aElementOf0(X6,X4))|sdtlseqdt0(X5,X6))|~(X5=szmzizndt0(X4)))|(~(aSubsetOf0(X4,szNzAzT0))|X4=slcrc0))&((aElementOf0(X5,X4)|~(X5=szmzizndt0(X4)))|(~(aSubsetOf0(X4,szNzAzT0))|X4=slcrc0)))&((((aElementOf0(esk7_2(X4,X5),X4)|~(aElementOf0(X5,X4)))|X5=szmzizndt0(X4))|(~(aSubsetOf0(X4,szNzAzT0))|X4=slcrc0))&(((~(sdtlseqdt0(X5,esk7_2(X4,X5)))|~(aElementOf0(X5,X4)))|X5=szmzizndt0(X4))|(~(aSubsetOf0(X4,szNzAzT0))|X4=slcrc0)))),inference(distribute,[status(thm)],[315])).
% cnf(320,plain,(X1=slcrc0|sdtlseqdt0(X2,X3)|~aSubsetOf0(X1,szNzAzT0)|X2!=szmzizndt0(X1)|~aElementOf0(X3,X1)),inference(split_conjunct,[status(thm)],[316])).
% fof(4461, plain,![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)))),inference(fof_nnf,[status(thm)],[66])).
% fof(4462, plain,![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)))),inference(variable_rename,[status(thm)],[4461])).
% fof(4463, plain,![X3]:![X4]:(((((~(aElementOf0(X4,sdtlpdtrp0(xN,X3)))|aElementOf0(X4,szNzAzT0))&aSet0(sdtlpdtrp0(xN,X3)))&aSubsetOf0(sdtlpdtrp0(xN,X3),szNzAzT0))&isCountable0(sdtlpdtrp0(xN,X3)))|~(aElementOf0(X3,szNzAzT0))),inference(shift_quantors,[status(thm)],[4462])).
% fof(4464, plain,![X3]:![X4]:(((((~(aElementOf0(X4,sdtlpdtrp0(xN,X3)))|aElementOf0(X4,szNzAzT0))|~(aElementOf0(X3,szNzAzT0)))&(aSet0(sdtlpdtrp0(xN,X3))|~(aElementOf0(X3,szNzAzT0))))&(aSubsetOf0(sdtlpdtrp0(xN,X3),szNzAzT0)|~(aElementOf0(X3,szNzAzT0))))&(isCountable0(sdtlpdtrp0(xN,X3))|~(aElementOf0(X3,szNzAzT0)))),inference(distribute,[status(thm)],[4463])).
% cnf(4468,plain,(aElementOf0(X2,szNzAzT0)|~aElementOf0(X1,szNzAzT0)|~aElementOf0(X2,sdtlpdtrp0(xN,X1))),inference(split_conjunct,[status(thm)],[4464])).
% fof(4469, 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)],[67])).
% fof(4470, 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)],[4469])).
% fof(4471, 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)],[4470])).
% fof(4472, 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)],[4471])).
% cnf(4474,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)],[4472])).
% 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(4528,plain,(aElementOf0(sdtlpdtrp0(xe,X1),sdtlpdtrp0(xN,X1))|~aElementOf0(X1,szNzAzT0)),inference(split_conjunct,[status(thm)],[4524])).
% cnf(4529,plain,(sdtlseqdt0(sdtlpdtrp0(xe,X1),X2)|~aElementOf0(X1,szNzAzT0)|~aElementOf0(X2,sdtlpdtrp0(xN,X1))),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(4535,plain,(szDzozmdt0(xd)=szNzAzT0),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(4560,plain,(aElementOf0(X1,szDzozmdt0(xd))|~aElementOf0(X1,sdtlbdtrb0(xd,szDzizrdt0(xd)))),inference(split_conjunct,[status(thm)],[4555])).
% fof(4610, plain,(![X1]:(~(aElementOf0(X1,xQ))|aElementOf0(X1,szNzAzT0))&aSubsetOf0(xQ,szNzAzT0)),inference(fof_nnf,[status(thm)],[85])).
% fof(4611, plain,(![X2]:(~(aElementOf0(X2,xQ))|aElementOf0(X2,szNzAzT0))&aSubsetOf0(xQ,szNzAzT0)),inference(variable_rename,[status(thm)],[4610])).
% fof(4612, plain,![X2]:((~(aElementOf0(X2,xQ))|aElementOf0(X2,szNzAzT0))&aSubsetOf0(xQ,szNzAzT0)),inference(shift_quantors,[status(thm)],[4611])).
% cnf(4613,plain,(aSubsetOf0(xQ,szNzAzT0)),inference(split_conjunct,[status(thm)],[4612])).
% 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(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])).
% cnf(4664,plain,(xx!=szmzizndt0(xQ)),inference(split_conjunct,[status(thm)],[97])).
% cnf(4665,plain,(aElementOf0(xx,xQ)),inference(split_conjunct,[status(thm)],[97])).
% fof(4667, plain,(aElementOf0(xx,szNzAzT0)&?[X2]:(aElementOf0(X2,sdtlbdtrb0(xd,szDzizrdt0(xd)))&sdtlpdtrp0(xe,X2)=xx)),inference(variable_rename,[status(thm)],[98])).
% fof(4668, plain,(aElementOf0(xx,szNzAzT0)&(aElementOf0(esk37_0,sdtlbdtrb0(xd,szDzizrdt0(xd)))&sdtlpdtrp0(xe,esk37_0)=xx)),inference(skolemize,[status(esa)],[4667])).
% cnf(4669,plain,(sdtlpdtrp0(xe,esk37_0)=xx),inference(split_conjunct,[status(thm)],[4668])).
% cnf(4670,plain,(aElementOf0(esk37_0,sdtlbdtrb0(xd,szDzizrdt0(xd)))),inference(split_conjunct,[status(thm)],[4668])).
% cnf(4671,plain,(aElementOf0(xx,szNzAzT0)),inference(split_conjunct,[status(thm)],[4668])).
% cnf(4746,negated_conjecture,(~aElementOf0(xx,sdtlpdtrp0(xN,szszuzczcdt0(xn)))),inference(split_conjunct,[status(thm)],[131])).
% cnf(5399,plain,(xp!=xx),inference(rw,[status(thm)],[4664,4626,theory(equality)])).
% cnf(5413,plain,(aElementOf0(esk37_0,sdtlbdtrb0(xd,sdtlpdtrp0(xd,xn)))),inference(rw,[status(thm)],[4670,4660,theory(equality)])).
% cnf(5422,plain,(aElementOf0(X1,szNzAzT0)|~aElementOf0(X1,sdtlbdtrb0(xd,szDzizrdt0(xd)))),inference(rw,[status(thm)],[4560,4535,theory(equality)])).
% cnf(5423,plain,(aElementOf0(X1,szNzAzT0)|~aElementOf0(X1,sdtlbdtrb0(xd,sdtlpdtrp0(xd,xn)))),inference(rw,[status(thm)],[5422,4660,theory(equality)])).
% cnf(5439,plain,(sdtlseqdt0(X2,X3)|szmzizndt0(X1)!=X2|~aSubsetOf0(X1,szNzAzT0)|~aElementOf0(X3,X1)),inference(csr,[status(thm)],[320,151])).
% cnf(8667,plain,(aElementOf0(xx,sdtlpdtrp0(xN,esk37_0))|~aElementOf0(esk37_0,szNzAzT0)),inference(spm,[status(thm)],[4528,4669,theory(equality)])).
% cnf(8670,plain,(aElementOf0(xp,sdtlpdtrp0(xN,xn))|~aElementOf0(xn,szNzAzT0)),inference(spm,[status(thm)],[4528,4657,theory(equality)])).
% cnf(8678,plain,(aElementOf0(xp,sdtlpdtrp0(xN,xn))|$false),inference(rw,[status(thm)],[8670,4658,theory(equality)])).
% cnf(8679,plain,(aElementOf0(xp,sdtlpdtrp0(xN,xn))),inference(cn,[status(thm)],[8678,theory(equality)])).
% cnf(8957,plain,(aElementOf0(esk37_0,szNzAzT0)),inference(spm,[status(thm)],[5423,5413,theory(equality)])).
% cnf(9006,plain,(sdtlseqdt0(xx,X1)|~aElementOf0(X1,sdtlpdtrp0(xN,esk37_0))|~aElementOf0(esk37_0,szNzAzT0)),inference(spm,[status(thm)],[4529,4669,theory(equality)])).
% cnf(9598,plain,(sdtlseqdt0(X1,xx)|szmzizndt0(xQ)!=X1|~aSubsetOf0(xQ,szNzAzT0)),inference(spm,[status(thm)],[5439,4665,theory(equality)])).
% cnf(9629,plain,(sdtlseqdt0(X1,xx)|xp!=X1|~aSubsetOf0(xQ,szNzAzT0)),inference(rw,[status(thm)],[9598,4626,theory(equality)])).
% cnf(9630,plain,(sdtlseqdt0(X1,xx)|xp!=X1|$false),inference(rw,[status(thm)],[9629,4613,theory(equality)])).
% cnf(9631,plain,(sdtlseqdt0(X1,xx)|xp!=X1),inference(cn,[status(thm)],[9630,theory(equality)])).
% cnf(82948,plain,(aElementOf0(xp,szNzAzT0)|~aElementOf0(xn,szNzAzT0)),inference(spm,[status(thm)],[4468,8679,theory(equality)])).
% cnf(82949,plain,(aElementOf0(xp,sdtlpdtrp0(xN,X1))|~sdtlseqdt0(X1,xn)|~aElementOf0(xn,szNzAzT0)|~aElementOf0(X1,szNzAzT0)),inference(spm,[status(thm)],[4474,8679,theory(equality)])).
% cnf(82973,plain,(aElementOf0(xp,szNzAzT0)|$false),inference(rw,[status(thm)],[82948,4658,theory(equality)])).
% cnf(82974,plain,(aElementOf0(xp,szNzAzT0)),inference(cn,[status(thm)],[82973,theory(equality)])).
% cnf(82975,plain,(aElementOf0(xp,sdtlpdtrp0(xN,X1))|~sdtlseqdt0(X1,xn)|$false|~aElementOf0(X1,szNzAzT0)),inference(rw,[status(thm)],[82949,4658,theory(equality)])).
% cnf(82976,plain,(aElementOf0(xp,sdtlpdtrp0(xN,X1))|~sdtlseqdt0(X1,xn)|~aElementOf0(X1,szNzAzT0)),inference(cn,[status(thm)],[82975,theory(equality)])).
% cnf(83397,plain,(xx=X1|~sdtlseqdt0(xx,X1)|~aElementOf0(X1,szNzAzT0)|~aElementOf0(xx,szNzAzT0)|xp!=X1),inference(spm,[status(thm)],[271,9631,theory(equality)])).
% cnf(83404,plain,(xx=X1|~sdtlseqdt0(xx,X1)|~aElementOf0(X1,szNzAzT0)|$false|xp!=X1),inference(rw,[status(thm)],[83397,4671,theory(equality)])).
% cnf(83405,plain,(xx=X1|~sdtlseqdt0(xx,X1)|~aElementOf0(X1,szNzAzT0)|xp!=X1),inference(cn,[status(thm)],[83404,theory(equality)])).
% cnf(84301,plain,(aElementOf0(xx,sdtlpdtrp0(xN,esk37_0))|$false),inference(rw,[status(thm)],[8667,8957,theory(equality)])).
% cnf(84302,plain,(aElementOf0(xx,sdtlpdtrp0(xN,esk37_0))),inference(cn,[status(thm)],[84301,theory(equality)])).
% cnf(84338,plain,(aElementOf0(xx,sdtlpdtrp0(xN,X1))|~sdtlseqdt0(X1,esk37_0)|~aElementOf0(esk37_0,szNzAzT0)|~aElementOf0(X1,szNzAzT0)),inference(spm,[status(thm)],[4474,84302,theory(equality)])).
% cnf(84366,plain,(aElementOf0(xx,sdtlpdtrp0(xN,X1))|~sdtlseqdt0(X1,esk37_0)|$false|~aElementOf0(X1,szNzAzT0)),inference(rw,[status(thm)],[84338,8957,theory(equality)])).
% cnf(84367,plain,(aElementOf0(xx,sdtlpdtrp0(xN,X1))|~sdtlseqdt0(X1,esk37_0)|~aElementOf0(X1,szNzAzT0)),inference(cn,[status(thm)],[84366,theory(equality)])).
% cnf(100086,negated_conjecture,(~sdtlseqdt0(szszuzczcdt0(xn),esk37_0)|~aElementOf0(szszuzczcdt0(xn),szNzAzT0)),inference(spm,[status(thm)],[4746,84367,theory(equality)])).
% cnf(103055,negated_conjecture,(sdtlseqdt0(esk37_0,xn)|~aElementOf0(szszuzczcdt0(xn),szNzAzT0)|~aElementOf0(esk37_0,szNzAzT0)|~aElementOf0(xn,szNzAzT0)),inference(spm,[status(thm)],[100086,277,theory(equality)])).
% cnf(103056,negated_conjecture,(sdtlseqdt0(esk37_0,xn)|~aElementOf0(szszuzczcdt0(xn),szNzAzT0)|$false|~aElementOf0(xn,szNzAzT0)),inference(rw,[status(thm)],[103055,8957,theory(equality)])).
% cnf(103057,negated_conjecture,(sdtlseqdt0(esk37_0,xn)|~aElementOf0(szszuzczcdt0(xn),szNzAzT0)|$false|$false),inference(rw,[status(thm)],[103056,4658,theory(equality)])).
% cnf(103058,negated_conjecture,(sdtlseqdt0(esk37_0,xn)|~aElementOf0(szszuzczcdt0(xn),szNzAzT0)),inference(cn,[status(thm)],[103057,theory(equality)])).
% cnf(103062,negated_conjecture,(sdtlseqdt0(esk37_0,xn)|~aElementOf0(xn,szNzAzT0)),inference(spm,[status(thm)],[103058,239,theory(equality)])).
% cnf(103063,negated_conjecture,(sdtlseqdt0(esk37_0,xn)|$false),inference(rw,[status(thm)],[103062,4658,theory(equality)])).
% cnf(103064,negated_conjecture,(sdtlseqdt0(esk37_0,xn)),inference(cn,[status(thm)],[103063,theory(equality)])).
% cnf(103084,plain,(sdtlseqdt0(xx,X1)|~aElementOf0(X1,sdtlpdtrp0(xN,esk37_0))|$false),inference(rw,[status(thm)],[9006,8957,theory(equality)])).
% cnf(103085,plain,(sdtlseqdt0(xx,X1)|~aElementOf0(X1,sdtlpdtrp0(xN,esk37_0))),inference(cn,[status(thm)],[103084,theory(equality)])).
% cnf(105192,plain,(sdtlseqdt0(xx,xp)|~sdtlseqdt0(esk37_0,xn)|~aElementOf0(esk37_0,szNzAzT0)),inference(spm,[status(thm)],[103085,82976,theory(equality)])).
% cnf(105231,plain,(sdtlseqdt0(xx,xp)|$false|~aElementOf0(esk37_0,szNzAzT0)),inference(rw,[status(thm)],[105192,103064,theory(equality)])).
% cnf(105232,plain,(sdtlseqdt0(xx,xp)|$false|$false),inference(rw,[status(thm)],[105231,8957,theory(equality)])).
% cnf(105233,plain,(sdtlseqdt0(xx,xp)),inference(cn,[status(thm)],[105232,theory(equality)])).
% cnf(105277,plain,(xx=xp|~aElementOf0(xp,szNzAzT0)),inference(spm,[status(thm)],[83405,105233,theory(equality)])).
% cnf(105305,plain,(xx=xp|$false),inference(rw,[status(thm)],[105277,82974,theory(equality)])).
% cnf(105306,plain,(xx=xp),inference(cn,[status(thm)],[105305,theory(equality)])).
% cnf(105307,plain,($false),inference(sr,[status(thm)],[105306,5399,theory(equality)])).
% cnf(105308,plain,($false),105307,['proof']).
% # SZS output end CNFRefutation
% # Processed clauses : 7739
% # ...of these trivial : 75
% # ...subsumed : 990
% # ...remaining for further processing: 6674
% # Other redundant clauses eliminated : 16
% # Clauses deleted for lack of memory : 0
% # Backward-subsumed : 27
% # Backward-rewritten : 64
% # Generated clauses : 71469
% # ...of the previous two non-trivial : 62262
% # Contextual simplify-reflections : 3194
% # Paramodulations : 71410
% # Factorizations : 0
% # Equation resolutions : 53
% # Current number of processed clauses: 3518
% # Positive orientable unit clauses: 141
% # Positive unorientable unit clauses: 0
% # Negative unit clauses : 60
% # Non-unit-clauses : 3317
% # Current number of unprocessed clauses: 60534
% # ...number of literals in the above : 852400
% # Clause-clause subsumption calls (NU) : 2104815
% # Rec. Clause-clause subsumption calls : 61020
% # Unit Clause-clause subsumption calls : 108359
% # Rewrite failures with RHS unbound : 0
% # Indexed BW rewrite attempts : 16
% # Indexed BW rewrite successes : 14
% # Backwards rewriting index: 682 leaves, 1.71+/-2.231 terms/leaf
% # Paramod-from index: 341 leaves, 1.03+/-0.160 terms/leaf
% # Paramod-into index: 612 leaves, 1.35+/-1.183 terms/leaf
% # -------------------------------------------------
% # User time : 12.147 s
% # System time : 0.204 s
% # Total time : 12.351 s
% # Maximum resident set size: 0 pages
% PrfWatch: 15.63 CPU 16.51 WC
% FINAL PrfWatch: 15.63 CPU 16.51 WC
% SZS output end Solution for /tmp/SystemOnTPTP21775/NUM619+3.tptp
%
%------------------------------------------------------------------------------