TSTP Solution File: NUM629+1 by SRASS---0.1
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- Process Solution
%------------------------------------------------------------------------------
% File : SRASS---0.1
% Problem : NUM629+1 : 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 20:42:29 EST 2010
% Result : Theorem 43.64s
% Output : Solution 43.64s
% 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/SystemOnTPTP17466/NUM629+1.tptp
% Adding relevance values
% Extracting the conjecture
% Sorting axioms by relevance
% Looking for THM ...
% found
% SZS status THM for /tmp/SystemOnTPTP17466/NUM629+1.tptp
% SZS output start Solution for /tmp/SystemOnTPTP17466/NUM629+1.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 17562
% TreeLimitedRun: ----------------------------------------------------------
% PrfWatch: 0.00 CPU 0.01 WC
% PrfWatch: 1.94 CPU 2.02 WC
% PrfWatch: 3.93 CPU 4.03 WC
% PrfWatch: 5.92 CPU 6.04 WC
% PrfWatch: 7.91 CPU 8.04 WC
% PrfWatch: 9.51 CPU 10.05 WC
% PrfWatch: 11.13 CPU 12.06 WC
% PrfWatch: 13.12 CPU 14.06 WC
% PrfWatch: 15.12 CPU 16.07 WC
% PrfWatch: 17.10 CPU 18.08 WC
% PrfWatch: 19.09 CPU 20.08 WC
% PrfWatch: 21.08 CPU 22.09 WC
% PrfWatch: 23.06 CPU 24.10 WC
% PrfWatch: 25.05 CPU 26.11 WC
% PrfWatch: 27.04 CPU 28.11 WC
% PrfWatch: 29.03 CPU 30.12 WC
% PrfWatch: 31.00 CPU 32.13 WC
% # Preprocessing time : 0.033 s
% # Problem is unsatisfiable (or provable), constructing proof object
% # SZS status Theorem
% PrfWatch: 32.99 CPU 34.13 WC
% PrfWatch: 34.98 CPU 36.14 WC
% PrfWatch: 36.97 CPU 38.15 WC
% PrfWatch: 38.94 CPU 40.15 WC
% PrfWatch: 40.54 CPU 42.16 WC
% PrfWatch: 42.17 CPU 44.17 WC
% # SZS output start CNFRefutation.
% fof(5, axiom,![X1]:(aSet0(X1)=>![X2]:(aSubsetOf0(X2,X1)<=>(aSet0(X2)&![X3]:(aElementOf0(X3,X2)=>aElementOf0(X3,X1))))),file('/tmp/SRASS.s.p', mDefSub)).
% fof(9, axiom,![X1]:![X2]:![X3]:(((aSet0(X1)&aSet0(X2))&aSet0(X3))=>((aSubsetOf0(X1,X2)&aSubsetOf0(X2,X3))=>aSubsetOf0(X1,X3))),file('/tmp/SRASS.s.p', mSubTrans)).
% fof(11, axiom,(aSet0(szNzAzT0)&isCountable0(szNzAzT0)),file('/tmp/SRASS.s.p', mNATSet)).
% fof(33, axiom,![X1]:![X2]:((aSet0(X1)&aElementOf0(X2,szNzAzT0))=>![X3]:(X3=slbdtsldtrb0(X1,X2)<=>(aSet0(X3)&![X4]:(aElementOf0(X4,X3)<=>(aSubsetOf0(X4,X1)&sbrdtbr0(X4)=X2))))),file('/tmp/SRASS.s.p', mDefSel)).
% fof(50, axiom,(aElementOf0(xk,szNzAzT0)&szszuzczcdt0(xk)=xK),file('/tmp/SRASS.s.p', m__3533)).
% fof(51, axiom,(((aFunction0(xN)&szDzozmdt0(xN)=szNzAzT0)&sdtlpdtrp0(xN,sz00)=xS)&![X1]:(aElementOf0(X1,szNzAzT0)=>((aSubsetOf0(sdtlpdtrp0(xN,X1),szNzAzT0)&isCountable0(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(52, axiom,![X1]:(aElementOf0(X1,szNzAzT0)=>(aSubsetOf0(sdtlpdtrp0(xN,X1),szNzAzT0)&isCountable0(sdtlpdtrp0(xN,X1)))),file('/tmp/SRASS.s.p', m__3671)).
% fof(61, axiom,((aFunction0(xe)&szDzozmdt0(xe)=szNzAzT0)&![X1]:(aElementOf0(X1,szNzAzT0)=>sdtlpdtrp0(xe,X1)=szmzizndt0(sdtlpdtrp0(xN,X1)))),file('/tmp/SRASS.s.p', m__4660)).
% fof(65, axiom,(aSet0(xO)&xO=sdtlcdtrc0(xe,sdtlbdtrb0(xd,szDzizrdt0(xd)))),file('/tmp/SRASS.s.p', m__4891)).
% fof(76, axiom,aElementOf0(xp,xO),file('/tmp/SRASS.s.p', m__5182)).
% fof(79, axiom,sbrdtbr0(xP)=xk,file('/tmp/SRASS.s.p', m__5217)).
% fof(81, axiom,((aElementOf0(xn,sdtlbdtrb0(xd,szDzizrdt0(xd)))&aElementOf0(xn,szNzAzT0))&sdtlpdtrp0(xe,xn)=xp),file('/tmp/SRASS.s.p', m__5309)).
% fof(83, axiom,aSubsetOf0(xP,sdtlpdtrp0(xN,szszuzczcdt0(xn))),file('/tmp/SRASS.s.p', m__5334)).
% fof(84, axiom,xD=sdtmndt0(sdtlpdtrp0(xN,xn),szmzizndt0(sdtlpdtrp0(xN,xn))),file('/tmp/SRASS.s.p', m__5585)).
% fof(95, axiom,![X1]:![X2]:((aSet0(X1)&aElement0(X2))=>![X3]:(X3=sdtmndt0(X1,X2)<=>(aSet0(X3)&![X4]:(aElementOf0(X4,X3)<=>((aElement0(X4)&aElementOf0(X4,X1))&~(X4=X2)))))),file('/tmp/SRASS.s.p', mDefDiff)).
% fof(111, axiom,![X1]:(aSet0(X1)=>![X2]:(aElementOf0(X2,X1)=>aElement0(X2))),file('/tmp/SRASS.s.p', mEOfElem)).
% fof(115, conjecture,aElementOf0(xP,slbdtsldtrb0(xD,xk)),file('/tmp/SRASS.s.p', m__)).
% fof(116, negated_conjecture,~(aElementOf0(xP,slbdtsldtrb0(xD,xk))),inference(assume_negation,[status(cth)],[115])).
% fof(129, negated_conjecture,~(aElementOf0(xP,slbdtsldtrb0(xD,xk))),inference(fof_simplification,[status(thm)],[116,theory(equality)])).
% fof(145, plain,![X1]:(~(aSet0(X1))|![X2]:((~(aSubsetOf0(X2,X1))|(aSet0(X2)&![X3]:(~(aElementOf0(X3,X2))|aElementOf0(X3,X1))))&((~(aSet0(X2))|?[X3]:(aElementOf0(X3,X2)&~(aElementOf0(X3,X1))))|aSubsetOf0(X2,X1)))),inference(fof_nnf,[status(thm)],[5])).
% fof(146, plain,![X4]:(~(aSet0(X4))|![X5]:((~(aSubsetOf0(X5,X4))|(aSet0(X5)&![X6]:(~(aElementOf0(X6,X5))|aElementOf0(X6,X4))))&((~(aSet0(X5))|?[X7]:(aElementOf0(X7,X5)&~(aElementOf0(X7,X4))))|aSubsetOf0(X5,X4)))),inference(variable_rename,[status(thm)],[145])).
% fof(147, plain,![X4]:(~(aSet0(X4))|![X5]:((~(aSubsetOf0(X5,X4))|(aSet0(X5)&![X6]:(~(aElementOf0(X6,X5))|aElementOf0(X6,X4))))&((~(aSet0(X5))|(aElementOf0(esk2_2(X4,X5),X5)&~(aElementOf0(esk2_2(X4,X5),X4))))|aSubsetOf0(X5,X4)))),inference(skolemize,[status(esa)],[146])).
% fof(148, plain,![X4]:![X5]:![X6]:(((((~(aElementOf0(X6,X5))|aElementOf0(X6,X4))&aSet0(X5))|~(aSubsetOf0(X5,X4)))&((~(aSet0(X5))|(aElementOf0(esk2_2(X4,X5),X5)&~(aElementOf0(esk2_2(X4,X5),X4))))|aSubsetOf0(X5,X4)))|~(aSet0(X4))),inference(shift_quantors,[status(thm)],[147])).
% fof(149, plain,![X4]:![X5]:![X6]:(((((~(aElementOf0(X6,X5))|aElementOf0(X6,X4))|~(aSubsetOf0(X5,X4)))|~(aSet0(X4)))&((aSet0(X5)|~(aSubsetOf0(X5,X4)))|~(aSet0(X4))))&((((aElementOf0(esk2_2(X4,X5),X5)|~(aSet0(X5)))|aSubsetOf0(X5,X4))|~(aSet0(X4)))&(((~(aElementOf0(esk2_2(X4,X5),X4))|~(aSet0(X5)))|aSubsetOf0(X5,X4))|~(aSet0(X4))))),inference(distribute,[status(thm)],[148])).
% cnf(152,plain,(aSet0(X2)|~aSet0(X1)|~aSubsetOf0(X2,X1)),inference(split_conjunct,[status(thm)],[149])).
% fof(164, plain,![X1]:![X2]:![X3]:(((~(aSet0(X1))|~(aSet0(X2)))|~(aSet0(X3)))|((~(aSubsetOf0(X1,X2))|~(aSubsetOf0(X2,X3)))|aSubsetOf0(X1,X3))),inference(fof_nnf,[status(thm)],[9])).
% fof(165, plain,![X4]:![X5]:![X6]:(((~(aSet0(X4))|~(aSet0(X5)))|~(aSet0(X6)))|((~(aSubsetOf0(X4,X5))|~(aSubsetOf0(X5,X6)))|aSubsetOf0(X4,X6))),inference(variable_rename,[status(thm)],[164])).
% cnf(166,plain,(aSubsetOf0(X1,X2)|~aSubsetOf0(X3,X2)|~aSubsetOf0(X1,X3)|~aSet0(X2)|~aSet0(X3)|~aSet0(X1)),inference(split_conjunct,[status(thm)],[165])).
% cnf(172,plain,(aSet0(szNzAzT0)),inference(split_conjunct,[status(thm)],[11])).
% fof(256, plain,![X1]:![X2]:((~(aSet0(X1))|~(aElementOf0(X2,szNzAzT0)))|![X3]:((~(X3=slbdtsldtrb0(X1,X2))|(aSet0(X3)&![X4]:((~(aElementOf0(X4,X3))|(aSubsetOf0(X4,X1)&sbrdtbr0(X4)=X2))&((~(aSubsetOf0(X4,X1))|~(sbrdtbr0(X4)=X2))|aElementOf0(X4,X3)))))&((~(aSet0(X3))|?[X4]:((~(aElementOf0(X4,X3))|(~(aSubsetOf0(X4,X1))|~(sbrdtbr0(X4)=X2)))&(aElementOf0(X4,X3)|(aSubsetOf0(X4,X1)&sbrdtbr0(X4)=X2))))|X3=slbdtsldtrb0(X1,X2)))),inference(fof_nnf,[status(thm)],[33])).
% fof(257, plain,![X5]:![X6]:((~(aSet0(X5))|~(aElementOf0(X6,szNzAzT0)))|![X7]:((~(X7=slbdtsldtrb0(X5,X6))|(aSet0(X7)&![X8]:((~(aElementOf0(X8,X7))|(aSubsetOf0(X8,X5)&sbrdtbr0(X8)=X6))&((~(aSubsetOf0(X8,X5))|~(sbrdtbr0(X8)=X6))|aElementOf0(X8,X7)))))&((~(aSet0(X7))|?[X9]:((~(aElementOf0(X9,X7))|(~(aSubsetOf0(X9,X5))|~(sbrdtbr0(X9)=X6)))&(aElementOf0(X9,X7)|(aSubsetOf0(X9,X5)&sbrdtbr0(X9)=X6))))|X7=slbdtsldtrb0(X5,X6)))),inference(variable_rename,[status(thm)],[256])).
% fof(258, plain,![X5]:![X6]:((~(aSet0(X5))|~(aElementOf0(X6,szNzAzT0)))|![X7]:((~(X7=slbdtsldtrb0(X5,X6))|(aSet0(X7)&![X8]:((~(aElementOf0(X8,X7))|(aSubsetOf0(X8,X5)&sbrdtbr0(X8)=X6))&((~(aSubsetOf0(X8,X5))|~(sbrdtbr0(X8)=X6))|aElementOf0(X8,X7)))))&((~(aSet0(X7))|((~(aElementOf0(esk6_3(X5,X6,X7),X7))|(~(aSubsetOf0(esk6_3(X5,X6,X7),X5))|~(sbrdtbr0(esk6_3(X5,X6,X7))=X6)))&(aElementOf0(esk6_3(X5,X6,X7),X7)|(aSubsetOf0(esk6_3(X5,X6,X7),X5)&sbrdtbr0(esk6_3(X5,X6,X7))=X6))))|X7=slbdtsldtrb0(X5,X6)))),inference(skolemize,[status(esa)],[257])).
% fof(259, plain,![X5]:![X6]:![X7]:![X8]:((((((~(aElementOf0(X8,X7))|(aSubsetOf0(X8,X5)&sbrdtbr0(X8)=X6))&((~(aSubsetOf0(X8,X5))|~(sbrdtbr0(X8)=X6))|aElementOf0(X8,X7)))&aSet0(X7))|~(X7=slbdtsldtrb0(X5,X6)))&((~(aSet0(X7))|((~(aElementOf0(esk6_3(X5,X6,X7),X7))|(~(aSubsetOf0(esk6_3(X5,X6,X7),X5))|~(sbrdtbr0(esk6_3(X5,X6,X7))=X6)))&(aElementOf0(esk6_3(X5,X6,X7),X7)|(aSubsetOf0(esk6_3(X5,X6,X7),X5)&sbrdtbr0(esk6_3(X5,X6,X7))=X6))))|X7=slbdtsldtrb0(X5,X6)))|(~(aSet0(X5))|~(aElementOf0(X6,szNzAzT0)))),inference(shift_quantors,[status(thm)],[258])).
% fof(260, plain,![X5]:![X6]:![X7]:![X8]:(((((((aSubsetOf0(X8,X5)|~(aElementOf0(X8,X7)))|~(X7=slbdtsldtrb0(X5,X6)))|(~(aSet0(X5))|~(aElementOf0(X6,szNzAzT0))))&(((sbrdtbr0(X8)=X6|~(aElementOf0(X8,X7)))|~(X7=slbdtsldtrb0(X5,X6)))|(~(aSet0(X5))|~(aElementOf0(X6,szNzAzT0)))))&((((~(aSubsetOf0(X8,X5))|~(sbrdtbr0(X8)=X6))|aElementOf0(X8,X7))|~(X7=slbdtsldtrb0(X5,X6)))|(~(aSet0(X5))|~(aElementOf0(X6,szNzAzT0)))))&((aSet0(X7)|~(X7=slbdtsldtrb0(X5,X6)))|(~(aSet0(X5))|~(aElementOf0(X6,szNzAzT0)))))&(((((~(aElementOf0(esk6_3(X5,X6,X7),X7))|(~(aSubsetOf0(esk6_3(X5,X6,X7),X5))|~(sbrdtbr0(esk6_3(X5,X6,X7))=X6)))|~(aSet0(X7)))|X7=slbdtsldtrb0(X5,X6))|(~(aSet0(X5))|~(aElementOf0(X6,szNzAzT0))))&(((((aSubsetOf0(esk6_3(X5,X6,X7),X5)|aElementOf0(esk6_3(X5,X6,X7),X7))|~(aSet0(X7)))|X7=slbdtsldtrb0(X5,X6))|(~(aSet0(X5))|~(aElementOf0(X6,szNzAzT0))))&((((sbrdtbr0(esk6_3(X5,X6,X7))=X6|aElementOf0(esk6_3(X5,X6,X7),X7))|~(aSet0(X7)))|X7=slbdtsldtrb0(X5,X6))|(~(aSet0(X5))|~(aElementOf0(X6,szNzAzT0))))))),inference(distribute,[status(thm)],[259])).
% cnf(265,plain,(aElementOf0(X4,X3)|~aElementOf0(X1,szNzAzT0)|~aSet0(X2)|X3!=slbdtsldtrb0(X2,X1)|sbrdtbr0(X4)!=X1|~aSubsetOf0(X4,X2)),inference(split_conjunct,[status(thm)],[260])).
% cnf(340,plain,(aElementOf0(xk,szNzAzT0)),inference(split_conjunct,[status(thm)],[50])).
% fof(341, plain,(((aFunction0(xN)&szDzozmdt0(xN)=szNzAzT0)&sdtlpdtrp0(xN,sz00)=xS)&![X1]:(~(aElementOf0(X1,szNzAzT0))|((~(aSubsetOf0(sdtlpdtrp0(xN,X1),szNzAzT0))|~(isCountable0(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)],[51])).
% fof(342, plain,(((aFunction0(xN)&szDzozmdt0(xN)=szNzAzT0)&sdtlpdtrp0(xN,sz00)=xS)&![X2]:(~(aElementOf0(X2,szNzAzT0))|((~(aSubsetOf0(sdtlpdtrp0(xN,X2),szNzAzT0))|~(isCountable0(sdtlpdtrp0(xN,X2))))|(aSubsetOf0(sdtlpdtrp0(xN,szszuzczcdt0(X2)),sdtmndt0(sdtlpdtrp0(xN,X2),szmzizndt0(sdtlpdtrp0(xN,X2))))&isCountable0(sdtlpdtrp0(xN,szszuzczcdt0(X2))))))),inference(variable_rename,[status(thm)],[341])).
% fof(343, plain,![X2]:((~(aElementOf0(X2,szNzAzT0))|((~(aSubsetOf0(sdtlpdtrp0(xN,X2),szNzAzT0))|~(isCountable0(sdtlpdtrp0(xN,X2))))|(aSubsetOf0(sdtlpdtrp0(xN,szszuzczcdt0(X2)),sdtmndt0(sdtlpdtrp0(xN,X2),szmzizndt0(sdtlpdtrp0(xN,X2))))&isCountable0(sdtlpdtrp0(xN,szszuzczcdt0(X2))))))&((aFunction0(xN)&szDzozmdt0(xN)=szNzAzT0)&sdtlpdtrp0(xN,sz00)=xS)),inference(shift_quantors,[status(thm)],[342])).
% fof(344, plain,![X2]:((((aSubsetOf0(sdtlpdtrp0(xN,szszuzczcdt0(X2)),sdtmndt0(sdtlpdtrp0(xN,X2),szmzizndt0(sdtlpdtrp0(xN,X2))))|(~(aSubsetOf0(sdtlpdtrp0(xN,X2),szNzAzT0))|~(isCountable0(sdtlpdtrp0(xN,X2)))))|~(aElementOf0(X2,szNzAzT0)))&((isCountable0(sdtlpdtrp0(xN,szszuzczcdt0(X2)))|(~(aSubsetOf0(sdtlpdtrp0(xN,X2),szNzAzT0))|~(isCountable0(sdtlpdtrp0(xN,X2)))))|~(aElementOf0(X2,szNzAzT0))))&((aFunction0(xN)&szDzozmdt0(xN)=szNzAzT0)&sdtlpdtrp0(xN,sz00)=xS)),inference(distribute,[status(thm)],[343])).
% cnf(349,plain,(aSubsetOf0(sdtlpdtrp0(xN,szszuzczcdt0(X1)),sdtmndt0(sdtlpdtrp0(xN,X1),szmzizndt0(sdtlpdtrp0(xN,X1))))|~aElementOf0(X1,szNzAzT0)|~isCountable0(sdtlpdtrp0(xN,X1))|~aSubsetOf0(sdtlpdtrp0(xN,X1),szNzAzT0)),inference(split_conjunct,[status(thm)],[344])).
% fof(350, plain,![X1]:(~(aElementOf0(X1,szNzAzT0))|(aSubsetOf0(sdtlpdtrp0(xN,X1),szNzAzT0)&isCountable0(sdtlpdtrp0(xN,X1)))),inference(fof_nnf,[status(thm)],[52])).
% fof(351, plain,![X2]:(~(aElementOf0(X2,szNzAzT0))|(aSubsetOf0(sdtlpdtrp0(xN,X2),szNzAzT0)&isCountable0(sdtlpdtrp0(xN,X2)))),inference(variable_rename,[status(thm)],[350])).
% fof(352, plain,![X2]:((aSubsetOf0(sdtlpdtrp0(xN,X2),szNzAzT0)|~(aElementOf0(X2,szNzAzT0)))&(isCountable0(sdtlpdtrp0(xN,X2))|~(aElementOf0(X2,szNzAzT0)))),inference(distribute,[status(thm)],[351])).
% cnf(353,plain,(isCountable0(sdtlpdtrp0(xN,X1))|~aElementOf0(X1,szNzAzT0)),inference(split_conjunct,[status(thm)],[352])).
% cnf(354,plain,(aSubsetOf0(sdtlpdtrp0(xN,X1),szNzAzT0)|~aElementOf0(X1,szNzAzT0)),inference(split_conjunct,[status(thm)],[352])).
% fof(397, plain,((aFunction0(xe)&szDzozmdt0(xe)=szNzAzT0)&![X1]:(~(aElementOf0(X1,szNzAzT0))|sdtlpdtrp0(xe,X1)=szmzizndt0(sdtlpdtrp0(xN,X1)))),inference(fof_nnf,[status(thm)],[61])).
% fof(398, plain,((aFunction0(xe)&szDzozmdt0(xe)=szNzAzT0)&![X2]:(~(aElementOf0(X2,szNzAzT0))|sdtlpdtrp0(xe,X2)=szmzizndt0(sdtlpdtrp0(xN,X2)))),inference(variable_rename,[status(thm)],[397])).
% fof(399, plain,![X2]:((~(aElementOf0(X2,szNzAzT0))|sdtlpdtrp0(xe,X2)=szmzizndt0(sdtlpdtrp0(xN,X2)))&(aFunction0(xe)&szDzozmdt0(xe)=szNzAzT0)),inference(shift_quantors,[status(thm)],[398])).
% cnf(402,plain,(sdtlpdtrp0(xe,X1)=szmzizndt0(sdtlpdtrp0(xN,X1))|~aElementOf0(X1,szNzAzT0)),inference(split_conjunct,[status(thm)],[399])).
% cnf(413,plain,(aSet0(xO)),inference(split_conjunct,[status(thm)],[65])).
% cnf(433,plain,(aElementOf0(xp,xO)),inference(split_conjunct,[status(thm)],[76])).
% cnf(436,plain,(sbrdtbr0(xP)=xk),inference(split_conjunct,[status(thm)],[79])).
% cnf(438,plain,(sdtlpdtrp0(xe,xn)=xp),inference(split_conjunct,[status(thm)],[81])).
% cnf(439,plain,(aElementOf0(xn,szNzAzT0)),inference(split_conjunct,[status(thm)],[81])).
% cnf(442,plain,(aSubsetOf0(xP,sdtlpdtrp0(xN,szszuzczcdt0(xn)))),inference(split_conjunct,[status(thm)],[83])).
% cnf(443,plain,(xD=sdtmndt0(sdtlpdtrp0(xN,xn),szmzizndt0(sdtlpdtrp0(xN,xn)))),inference(split_conjunct,[status(thm)],[84])).
% fof(520, plain,![X1]:![X2]:((~(aSet0(X1))|~(aElement0(X2)))|![X3]:((~(X3=sdtmndt0(X1,X2))|(aSet0(X3)&![X4]:((~(aElementOf0(X4,X3))|((aElement0(X4)&aElementOf0(X4,X1))&~(X4=X2)))&(((~(aElement0(X4))|~(aElementOf0(X4,X1)))|X4=X2)|aElementOf0(X4,X3)))))&((~(aSet0(X3))|?[X4]:((~(aElementOf0(X4,X3))|((~(aElement0(X4))|~(aElementOf0(X4,X1)))|X4=X2))&(aElementOf0(X4,X3)|((aElement0(X4)&aElementOf0(X4,X1))&~(X4=X2)))))|X3=sdtmndt0(X1,X2)))),inference(fof_nnf,[status(thm)],[95])).
% fof(521, plain,![X5]:![X6]:((~(aSet0(X5))|~(aElement0(X6)))|![X7]:((~(X7=sdtmndt0(X5,X6))|(aSet0(X7)&![X8]:((~(aElementOf0(X8,X7))|((aElement0(X8)&aElementOf0(X8,X5))&~(X8=X6)))&(((~(aElement0(X8))|~(aElementOf0(X8,X5)))|X8=X6)|aElementOf0(X8,X7)))))&((~(aSet0(X7))|?[X9]:((~(aElementOf0(X9,X7))|((~(aElement0(X9))|~(aElementOf0(X9,X5)))|X9=X6))&(aElementOf0(X9,X7)|((aElement0(X9)&aElementOf0(X9,X5))&~(X9=X6)))))|X7=sdtmndt0(X5,X6)))),inference(variable_rename,[status(thm)],[520])).
% fof(522, plain,![X5]:![X6]:((~(aSet0(X5))|~(aElement0(X6)))|![X7]:((~(X7=sdtmndt0(X5,X6))|(aSet0(X7)&![X8]:((~(aElementOf0(X8,X7))|((aElement0(X8)&aElementOf0(X8,X5))&~(X8=X6)))&(((~(aElement0(X8))|~(aElementOf0(X8,X5)))|X8=X6)|aElementOf0(X8,X7)))))&((~(aSet0(X7))|((~(aElementOf0(esk24_3(X5,X6,X7),X7))|((~(aElement0(esk24_3(X5,X6,X7)))|~(aElementOf0(esk24_3(X5,X6,X7),X5)))|esk24_3(X5,X6,X7)=X6))&(aElementOf0(esk24_3(X5,X6,X7),X7)|((aElement0(esk24_3(X5,X6,X7))&aElementOf0(esk24_3(X5,X6,X7),X5))&~(esk24_3(X5,X6,X7)=X6)))))|X7=sdtmndt0(X5,X6)))),inference(skolemize,[status(esa)],[521])).
% fof(523, plain,![X5]:![X6]:![X7]:![X8]:((((((~(aElementOf0(X8,X7))|((aElement0(X8)&aElementOf0(X8,X5))&~(X8=X6)))&(((~(aElement0(X8))|~(aElementOf0(X8,X5)))|X8=X6)|aElementOf0(X8,X7)))&aSet0(X7))|~(X7=sdtmndt0(X5,X6)))&((~(aSet0(X7))|((~(aElementOf0(esk24_3(X5,X6,X7),X7))|((~(aElement0(esk24_3(X5,X6,X7)))|~(aElementOf0(esk24_3(X5,X6,X7),X5)))|esk24_3(X5,X6,X7)=X6))&(aElementOf0(esk24_3(X5,X6,X7),X7)|((aElement0(esk24_3(X5,X6,X7))&aElementOf0(esk24_3(X5,X6,X7),X5))&~(esk24_3(X5,X6,X7)=X6)))))|X7=sdtmndt0(X5,X6)))|(~(aSet0(X5))|~(aElement0(X6)))),inference(shift_quantors,[status(thm)],[522])).
% fof(524, plain,![X5]:![X6]:![X7]:![X8]:((((((((aElement0(X8)|~(aElementOf0(X8,X7)))|~(X7=sdtmndt0(X5,X6)))|(~(aSet0(X5))|~(aElement0(X6))))&(((aElementOf0(X8,X5)|~(aElementOf0(X8,X7)))|~(X7=sdtmndt0(X5,X6)))|(~(aSet0(X5))|~(aElement0(X6)))))&(((~(X8=X6)|~(aElementOf0(X8,X7)))|~(X7=sdtmndt0(X5,X6)))|(~(aSet0(X5))|~(aElement0(X6)))))&(((((~(aElement0(X8))|~(aElementOf0(X8,X5)))|X8=X6)|aElementOf0(X8,X7))|~(X7=sdtmndt0(X5,X6)))|(~(aSet0(X5))|~(aElement0(X6)))))&((aSet0(X7)|~(X7=sdtmndt0(X5,X6)))|(~(aSet0(X5))|~(aElement0(X6)))))&(((((~(aElementOf0(esk24_3(X5,X6,X7),X7))|((~(aElement0(esk24_3(X5,X6,X7)))|~(aElementOf0(esk24_3(X5,X6,X7),X5)))|esk24_3(X5,X6,X7)=X6))|~(aSet0(X7)))|X7=sdtmndt0(X5,X6))|(~(aSet0(X5))|~(aElement0(X6))))&((((((aElement0(esk24_3(X5,X6,X7))|aElementOf0(esk24_3(X5,X6,X7),X7))|~(aSet0(X7)))|X7=sdtmndt0(X5,X6))|(~(aSet0(X5))|~(aElement0(X6))))&((((aElementOf0(esk24_3(X5,X6,X7),X5)|aElementOf0(esk24_3(X5,X6,X7),X7))|~(aSet0(X7)))|X7=sdtmndt0(X5,X6))|(~(aSet0(X5))|~(aElement0(X6)))))&((((~(esk24_3(X5,X6,X7)=X6)|aElementOf0(esk24_3(X5,X6,X7),X7))|~(aSet0(X7)))|X7=sdtmndt0(X5,X6))|(~(aSet0(X5))|~(aElement0(X6))))))),inference(distribute,[status(thm)],[523])).
% cnf(529,plain,(aSet0(X3)|~aElement0(X1)|~aSet0(X2)|X3!=sdtmndt0(X2,X1)),inference(split_conjunct,[status(thm)],[524])).
% fof(585, plain,![X1]:(~(aSet0(X1))|![X2]:(~(aElementOf0(X2,X1))|aElement0(X2))),inference(fof_nnf,[status(thm)],[111])).
% fof(586, plain,![X3]:(~(aSet0(X3))|![X4]:(~(aElementOf0(X4,X3))|aElement0(X4))),inference(variable_rename,[status(thm)],[585])).
% fof(587, plain,![X3]:![X4]:((~(aElementOf0(X4,X3))|aElement0(X4))|~(aSet0(X3))),inference(shift_quantors,[status(thm)],[586])).
% cnf(588,plain,(aElement0(X2)|~aSet0(X1)|~aElementOf0(X2,X1)),inference(split_conjunct,[status(thm)],[587])).
% cnf(595,negated_conjecture,(~aElementOf0(xP,slbdtsldtrb0(xD,xk))),inference(split_conjunct,[status(thm)],[129])).
% cnf(615,plain,(aSubsetOf0(X1,X2)|~aSubsetOf0(X3,X2)|~aSubsetOf0(X1,X3)|~aSet0(X3)|~aSet0(X2)),inference(csr,[status(thm)],[166,152])).
% cnf(616,plain,(aSubsetOf0(X1,X2)|~aSubsetOf0(X3,X2)|~aSubsetOf0(X1,X3)|~aSet0(X2)),inference(csr,[status(thm)],[615,152])).
% cnf(627,plain,(aSubsetOf0(sdtlpdtrp0(xN,szszuzczcdt0(X1)),sdtmndt0(sdtlpdtrp0(xN,X1),szmzizndt0(sdtlpdtrp0(xN,X1))))|~isCountable0(sdtlpdtrp0(xN,X1))|~aElementOf0(X1,szNzAzT0)),inference(csr,[status(thm)],[349,354])).
% cnf(628,plain,(aSubsetOf0(sdtlpdtrp0(xN,szszuzczcdt0(X1)),sdtmndt0(sdtlpdtrp0(xN,X1),szmzizndt0(sdtlpdtrp0(xN,X1))))|~aElementOf0(X1,szNzAzT0)),inference(csr,[status(thm)],[627,353])).
% cnf(750,plain,(aElement0(xp)|~aSet0(xO)),inference(spm,[status(thm)],[588,433,theory(equality)])).
% cnf(767,plain,(aElement0(xp)|$false),inference(rw,[status(thm)],[750,413,theory(equality)])).
% cnf(768,plain,(aElement0(xp)),inference(cn,[status(thm)],[767,theory(equality)])).
% cnf(820,plain,(aSet0(sdtlpdtrp0(xN,X1))|~aSet0(szNzAzT0)|~aElementOf0(X1,szNzAzT0)),inference(spm,[status(thm)],[152,354,theory(equality)])).
% cnf(822,plain,(aSet0(sdtlpdtrp0(xN,X1))|$false|~aElementOf0(X1,szNzAzT0)),inference(rw,[status(thm)],[820,172,theory(equality)])).
% cnf(823,plain,(aSet0(sdtlpdtrp0(xN,X1))|~aElementOf0(X1,szNzAzT0)),inference(cn,[status(thm)],[822,theory(equality)])).
% cnf(917,plain,(aSet0(sdtmndt0(X1,X2))|~aElement0(X2)|~aSet0(X1)),inference(er,[status(thm)],[529,theory(equality)])).
% cnf(966,plain,(sdtmndt0(sdtlpdtrp0(xN,xn),sdtlpdtrp0(xe,xn))=xD|~aElementOf0(xn,szNzAzT0)),inference(spm,[status(thm)],[443,402,theory(equality)])).
% cnf(968,plain,(sdtmndt0(sdtlpdtrp0(xN,xn),xp)=xD|~aElementOf0(xn,szNzAzT0)),inference(rw,[status(thm)],[966,438,theory(equality)])).
% cnf(969,plain,(sdtmndt0(sdtlpdtrp0(xN,xn),xp)=xD|$false),inference(rw,[status(thm)],[968,439,theory(equality)])).
% cnf(970,plain,(sdtmndt0(sdtlpdtrp0(xN,xn),xp)=xD),inference(cn,[status(thm)],[969,theory(equality)])).
% cnf(1455,plain,(aElementOf0(X1,slbdtsldtrb0(X2,X3))|sbrdtbr0(X1)!=X3|~aSubsetOf0(X1,X2)|~aElementOf0(X3,szNzAzT0)|~aSet0(X2)),inference(er,[status(thm)],[265,theory(equality)])).
% cnf(1581,plain,(aSubsetOf0(X1,sdtmndt0(sdtlpdtrp0(xN,X2),szmzizndt0(sdtlpdtrp0(xN,X2))))|~aSubsetOf0(X1,sdtlpdtrp0(xN,szszuzczcdt0(X2)))|~aSet0(sdtmndt0(sdtlpdtrp0(xN,X2),szmzizndt0(sdtlpdtrp0(xN,X2))))|~aElementOf0(X2,szNzAzT0)),inference(spm,[status(thm)],[616,628,theory(equality)])).
% cnf(4160,plain,(aSet0(xD)|~aElement0(xp)|~aSet0(sdtlpdtrp0(xN,xn))),inference(spm,[status(thm)],[917,970,theory(equality)])).
% cnf(4167,plain,(aSet0(xD)|$false|~aSet0(sdtlpdtrp0(xN,xn))),inference(rw,[status(thm)],[4160,768,theory(equality)])).
% cnf(4168,plain,(aSet0(xD)|~aSet0(sdtlpdtrp0(xN,xn))),inference(cn,[status(thm)],[4167,theory(equality)])).
% cnf(4300,plain,(aSet0(xD)|~aElementOf0(xn,szNzAzT0)),inference(spm,[status(thm)],[4168,823,theory(equality)])).
% cnf(4301,plain,(aSet0(xD)|$false),inference(rw,[status(thm)],[4300,439,theory(equality)])).
% cnf(4302,plain,(aSet0(xD)),inference(cn,[status(thm)],[4301,theory(equality)])).
% cnf(20242,plain,(aElementOf0(X1,slbdtsldtrb0(X2,sbrdtbr0(X1)))|~aSubsetOf0(X1,X2)|~aElementOf0(sbrdtbr0(X1),szNzAzT0)|~aSet0(X2)),inference(er,[status(thm)],[1455,theory(equality)])).
% cnf(24617,plain,(aSubsetOf0(X1,xD)|~aSubsetOf0(X1,sdtlpdtrp0(xN,szszuzczcdt0(xn)))|~aElementOf0(xn,szNzAzT0)|~aSet0(xD)),inference(spm,[status(thm)],[1581,443,theory(equality)])).
% cnf(24638,plain,(aSubsetOf0(X1,xD)|~aSubsetOf0(X1,sdtlpdtrp0(xN,szszuzczcdt0(xn)))|$false|~aSet0(xD)),inference(rw,[status(thm)],[24617,439,theory(equality)])).
% cnf(24639,plain,(aSubsetOf0(X1,xD)|~aSubsetOf0(X1,sdtlpdtrp0(xN,szszuzczcdt0(xn)))|$false|$false),inference(rw,[status(thm)],[24638,4302,theory(equality)])).
% cnf(24640,plain,(aSubsetOf0(X1,xD)|~aSubsetOf0(X1,sdtlpdtrp0(xN,szszuzczcdt0(xn)))),inference(cn,[status(thm)],[24639,theory(equality)])).
% cnf(40712,plain,(aSubsetOf0(xP,xD)),inference(spm,[status(thm)],[24640,442,theory(equality)])).
% cnf(591322,plain,(aElementOf0(xP,slbdtsldtrb0(X1,xk))|~aSubsetOf0(xP,X1)|~aElementOf0(xk,szNzAzT0)|~aSet0(X1)),inference(spm,[status(thm)],[20242,436,theory(equality)])).
% cnf(591348,plain,(aElementOf0(xP,slbdtsldtrb0(X1,xk))|~aSubsetOf0(xP,X1)|$false|~aSet0(X1)),inference(rw,[status(thm)],[591322,340,theory(equality)])).
% cnf(591349,plain,(aElementOf0(xP,slbdtsldtrb0(X1,xk))|~aSubsetOf0(xP,X1)|~aSet0(X1)),inference(cn,[status(thm)],[591348,theory(equality)])).
% cnf(591435,negated_conjecture,(~aSubsetOf0(xP,xD)|~aSet0(xD)),inference(spm,[status(thm)],[595,591349,theory(equality)])).
% cnf(591528,negated_conjecture,($false|~aSet0(xD)),inference(rw,[status(thm)],[591435,40712,theory(equality)])).
% cnf(591529,negated_conjecture,($false|$false),inference(rw,[status(thm)],[591528,4302,theory(equality)])).
% cnf(591530,negated_conjecture,($false),inference(cn,[status(thm)],[591529,theory(equality)])).
% cnf(591531,negated_conjecture,($false),591530,['proof']).
% # SZS output end CNFRefutation
% # Processed clauses : 41288
% # ...of these trivial : 338
% # ...subsumed : 31187
% # ...remaining for further processing: 9763
% # Other redundant clauses eliminated : 164
% # Clauses deleted for lack of memory : 0
% # Backward-subsumed : 1013
% # Backward-rewritten : 176
% # Generated clauses : 305880
% # ...of the previous two non-trivial : 289466
% # Contextual simplify-reflections : 23467
% # Paramodulations : 305267
% # Factorizations : 14
% # Equation resolutions : 576
% # Current number of processed clauses: 8338
% # Positive orientable unit clauses: 252
% # Positive unorientable unit clauses: 0
% # Negative unit clauses : 204
% # Non-unit-clauses : 7882
% # Current number of unprocessed clauses: 218328
% # ...number of literals in the above : 1568383
% # Clause-clause subsumption calls (NU) : 9303847
% # Rec. Clause-clause subsumption calls : 2492073
% # Unit Clause-clause subsumption calls : 66333
% # Rewrite failures with RHS unbound : 0
% # Indexed BW rewrite attempts : 75
% # Indexed BW rewrite successes : 53
% # Backwards rewriting index: 4393 leaves, 1.43+/-1.505 terms/leaf
% # Paramod-from index: 1559 leaves, 1.15+/-0.642 terms/leaf
% # Paramod-into index: 3035 leaves, 1.31+/-1.194 terms/leaf
% # -------------------------------------------------
% # User time : 31.084 s
% # System time : 0.715 s
% # Total time : 31.799 s
% # Maximum resident set size: 0 pages
% PrfWatch: 42.28 CPU 44.27 WC
% FINAL PrfWatch: 42.28 CPU 44.27 WC
% SZS output end Solution for /tmp/SystemOnTPTP17466/NUM629+1.tptp
%
%------------------------------------------------------------------------------