TSTP Solution File: NUM554+1 by SRASS---0.1
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- Process Solution
%------------------------------------------------------------------------------
% File : SRASS---0.1
% Problem : NUM554+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 : art06.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 20:04:30 EST 2010
% Result : Theorem 7.04s
% Output : Solution 7.04s
% 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/SystemOnTPTP14637/NUM554+1.tptp
% Adding relevance values
% Extracting the conjecture
% Sorting axioms by relevance
% Looking for THM ...
% found
% SZS status THM for /tmp/SystemOnTPTP14637/NUM554+1.tptp
% SZS output start Solution for /tmp/SystemOnTPTP14637/NUM554+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 14733
% TreeLimitedRun: ----------------------------------------------------------
% PrfWatch: 0.00 CPU 0.02 WC
% PrfWatch: 1.93 CPU 2.02 WC
% PrfWatch: 3.91 CPU 4.03 WC
% # Preprocessing time : 0.024 s
% # Problem is unsatisfiable (or provable), constructing proof object
% # SZS status Theorem
% PrfWatch: 5.55 CPU 6.03 WC
% # SZS output start CNFRefutation.
% fof(1, axiom,![X1]:(aSet0(X1)=>![X2]:(aElementOf0(X2,X1)=>aElement0(X2))),file('/tmp/SRASS.s.p', mEOfElem)).
% fof(4, 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]:((aSet0(X1)&aElement0(X2))=>![X3]:(X3=sdtpldt0(X1,X2)<=>(aSet0(X3)&![X4]:(aElementOf0(X4,X3)<=>(aElement0(X4)&(aElementOf0(X4,X1)|X4=X2)))))),file('/tmp/SRASS.s.p', mDefCons)).
% fof(10, 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(12, axiom,![X1]:![X2]:((aElement0(X1)&aSet0(X2))=>(~(aElementOf0(X1,X2))=>sdtmndt0(sdtpldt0(X2,X1),X1)=X2)),file('/tmp/SRASS.s.p', mDiffCons)).
% fof(13, axiom,![X1]:(aElement0(X1)=>![X2]:((aSet0(X2)&isFinite0(X2))=>isFinite0(sdtpldt0(X2,X1)))),file('/tmp/SRASS.s.p', mFConsSet)).
% fof(14, axiom,![X1]:(aElement0(X1)=>![X2]:((aSet0(X2)&isFinite0(X2))=>isFinite0(sdtmndt0(X2,X1)))),file('/tmp/SRASS.s.p', mFDiffSet)).
% fof(19, 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(22, axiom,aElementOf0(xk,szNzAzT0),file('/tmp/SRASS.s.p', m__2202)).
% fof(23, axiom,((aSet0(xS)&aSet0(xT))&~(xk=sz00)),file('/tmp/SRASS.s.p', m__2202_02)).
% fof(25, axiom,aElementOf0(xx,xS),file('/tmp/SRASS.s.p', m__2256)).
% fof(26, axiom,aElementOf0(xQ,slbdtsldtrb0(xS,xk)),file('/tmp/SRASS.s.p', m__2270)).
% fof(27, axiom,((aSet0(xQ)&isFinite0(xQ))&sbrdtbr0(xQ)=xk),file('/tmp/SRASS.s.p', m__2291)).
% fof(28, axiom,(aElement0(xy)&aElementOf0(xy,xQ)),file('/tmp/SRASS.s.p', m__2304)).
% fof(29, axiom,~(aElementOf0(xx,xQ)),file('/tmp/SRASS.s.p', m__2323)).
% fof(31, axiom,xP=sdtpldt0(sdtmndt0(xQ,xy),xx),file('/tmp/SRASS.s.p', m__2357)).
% fof(34, axiom,![X1]:(aSet0(X1)=>![X2]:((isFinite0(X1)&aElementOf0(X2,X1))=>szszuzczcdt0(sbrdtbr0(sdtmndt0(X1,X2)))=sbrdtbr0(X1))),file('/tmp/SRASS.s.p', mCardDiff)).
% fof(71, conjecture,aElementOf0(xP,slbdtsldtrb0(xS,xk)),file('/tmp/SRASS.s.p', m__)).
% fof(72, negated_conjecture,~(aElementOf0(xP,slbdtsldtrb0(xS,xk))),inference(assume_negation,[status(cth)],[71])).
% fof(73, plain,![X1]:![X2]:((aElement0(X1)&aSet0(X2))=>(~(aElementOf0(X1,X2))=>sdtmndt0(sdtpldt0(X2,X1),X1)=X2)),inference(fof_simplification,[status(thm)],[12,theory(equality)])).
% fof(75, plain,~(aElementOf0(xx,xQ)),inference(fof_simplification,[status(thm)],[29,theory(equality)])).
% fof(86, negated_conjecture,~(aElementOf0(xP,slbdtsldtrb0(xS,xk))),inference(fof_simplification,[status(thm)],[72,theory(equality)])).
% fof(87, plain,![X1]:(~(aSet0(X1))|![X2]:(~(aElementOf0(X2,X1))|aElement0(X2))),inference(fof_nnf,[status(thm)],[1])).
% fof(88, plain,![X3]:(~(aSet0(X3))|![X4]:(~(aElementOf0(X4,X3))|aElement0(X4))),inference(variable_rename,[status(thm)],[87])).
% fof(89, plain,![X3]:![X4]:((~(aElementOf0(X4,X3))|aElement0(X4))|~(aSet0(X3))),inference(shift_quantors,[status(thm)],[88])).
% cnf(90,plain,(aElement0(X2)|~aSet0(X1)|~aElementOf0(X2,X1)),inference(split_conjunct,[status(thm)],[89])).
% fof(100, 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)],[4])).
% fof(101, 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)],[100])).
% fof(102, 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)],[101])).
% fof(103, 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)],[102])).
% fof(104, 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)],[103])).
% cnf(105,plain,(aSubsetOf0(X2,X1)|~aSet0(X1)|~aSet0(X2)|~aElementOf0(esk2_2(X1,X2),X1)),inference(split_conjunct,[status(thm)],[104])).
% cnf(106,plain,(aSubsetOf0(X2,X1)|aElementOf0(esk2_2(X1,X2),X2)|~aSet0(X1)|~aSet0(X2)),inference(split_conjunct,[status(thm)],[104])).
% cnf(108,plain,(aElementOf0(X3,X1)|~aSet0(X1)|~aSubsetOf0(X2,X1)|~aElementOf0(X3,X2)),inference(split_conjunct,[status(thm)],[104])).
% fof(122, plain,![X1]:![X2]:((~(aSet0(X1))|~(aElement0(X2)))|![X3]:((~(X3=sdtpldt0(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=sdtpldt0(X1,X2)))),inference(fof_nnf,[status(thm)],[9])).
% fof(123, plain,![X5]:![X6]:((~(aSet0(X5))|~(aElement0(X6)))|![X7]:((~(X7=sdtpldt0(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=sdtpldt0(X5,X6)))),inference(variable_rename,[status(thm)],[122])).
% fof(124, plain,![X5]:![X6]:((~(aSet0(X5))|~(aElement0(X6)))|![X7]:((~(X7=sdtpldt0(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(esk3_3(X5,X6,X7),X7))|(~(aElement0(esk3_3(X5,X6,X7)))|(~(aElementOf0(esk3_3(X5,X6,X7),X5))&~(esk3_3(X5,X6,X7)=X6))))&(aElementOf0(esk3_3(X5,X6,X7),X7)|(aElement0(esk3_3(X5,X6,X7))&(aElementOf0(esk3_3(X5,X6,X7),X5)|esk3_3(X5,X6,X7)=X6)))))|X7=sdtpldt0(X5,X6)))),inference(skolemize,[status(esa)],[123])).
% fof(125, 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=sdtpldt0(X5,X6)))&((~(aSet0(X7))|((~(aElementOf0(esk3_3(X5,X6,X7),X7))|(~(aElement0(esk3_3(X5,X6,X7)))|(~(aElementOf0(esk3_3(X5,X6,X7),X5))&~(esk3_3(X5,X6,X7)=X6))))&(aElementOf0(esk3_3(X5,X6,X7),X7)|(aElement0(esk3_3(X5,X6,X7))&(aElementOf0(esk3_3(X5,X6,X7),X5)|esk3_3(X5,X6,X7)=X6)))))|X7=sdtpldt0(X5,X6)))|(~(aSet0(X5))|~(aElement0(X6)))),inference(shift_quantors,[status(thm)],[124])).
% fof(126, plain,![X5]:![X6]:![X7]:![X8]:(((((((aElement0(X8)|~(aElementOf0(X8,X7)))|~(X7=sdtpldt0(X5,X6)))|(~(aSet0(X5))|~(aElement0(X6))))&((((aElementOf0(X8,X5)|X8=X6)|~(aElementOf0(X8,X7)))|~(X7=sdtpldt0(X5,X6)))|(~(aSet0(X5))|~(aElement0(X6)))))&(((((~(aElementOf0(X8,X5))|~(aElement0(X8)))|aElementOf0(X8,X7))|~(X7=sdtpldt0(X5,X6)))|(~(aSet0(X5))|~(aElement0(X6))))&((((~(X8=X6)|~(aElement0(X8)))|aElementOf0(X8,X7))|~(X7=sdtpldt0(X5,X6)))|(~(aSet0(X5))|~(aElement0(X6))))))&((aSet0(X7)|~(X7=sdtpldt0(X5,X6)))|(~(aSet0(X5))|~(aElement0(X6)))))&(((((((~(aElementOf0(esk3_3(X5,X6,X7),X5))|~(aElement0(esk3_3(X5,X6,X7))))|~(aElementOf0(esk3_3(X5,X6,X7),X7)))|~(aSet0(X7)))|X7=sdtpldt0(X5,X6))|(~(aSet0(X5))|~(aElement0(X6))))&(((((~(esk3_3(X5,X6,X7)=X6)|~(aElement0(esk3_3(X5,X6,X7))))|~(aElementOf0(esk3_3(X5,X6,X7),X7)))|~(aSet0(X7)))|X7=sdtpldt0(X5,X6))|(~(aSet0(X5))|~(aElement0(X6)))))&(((((aElement0(esk3_3(X5,X6,X7))|aElementOf0(esk3_3(X5,X6,X7),X7))|~(aSet0(X7)))|X7=sdtpldt0(X5,X6))|(~(aSet0(X5))|~(aElement0(X6))))&(((((aElementOf0(esk3_3(X5,X6,X7),X5)|esk3_3(X5,X6,X7)=X6)|aElementOf0(esk3_3(X5,X6,X7),X7))|~(aSet0(X7)))|X7=sdtpldt0(X5,X6))|(~(aSet0(X5))|~(aElement0(X6))))))),inference(distribute,[status(thm)],[125])).
% cnf(131,plain,(aSet0(X3)|~aElement0(X1)|~aSet0(X2)|X3!=sdtpldt0(X2,X1)),inference(split_conjunct,[status(thm)],[126])).
% cnf(132,plain,(aElementOf0(X4,X3)|~aElement0(X1)|~aSet0(X2)|X3!=sdtpldt0(X2,X1)|~aElement0(X4)|X4!=X1),inference(split_conjunct,[status(thm)],[126])).
% fof(136, 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)],[10])).
% fof(137, 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)],[136])).
% fof(138, 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(esk4_3(X5,X6,X7),X7))|((~(aElement0(esk4_3(X5,X6,X7)))|~(aElementOf0(esk4_3(X5,X6,X7),X5)))|esk4_3(X5,X6,X7)=X6))&(aElementOf0(esk4_3(X5,X6,X7),X7)|((aElement0(esk4_3(X5,X6,X7))&aElementOf0(esk4_3(X5,X6,X7),X5))&~(esk4_3(X5,X6,X7)=X6)))))|X7=sdtmndt0(X5,X6)))),inference(skolemize,[status(esa)],[137])).
% fof(139, 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(esk4_3(X5,X6,X7),X7))|((~(aElement0(esk4_3(X5,X6,X7)))|~(aElementOf0(esk4_3(X5,X6,X7),X5)))|esk4_3(X5,X6,X7)=X6))&(aElementOf0(esk4_3(X5,X6,X7),X7)|((aElement0(esk4_3(X5,X6,X7))&aElementOf0(esk4_3(X5,X6,X7),X5))&~(esk4_3(X5,X6,X7)=X6)))))|X7=sdtmndt0(X5,X6)))|(~(aSet0(X5))|~(aElement0(X6)))),inference(shift_quantors,[status(thm)],[138])).
% fof(140, 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(esk4_3(X5,X6,X7),X7))|((~(aElement0(esk4_3(X5,X6,X7)))|~(aElementOf0(esk4_3(X5,X6,X7),X5)))|esk4_3(X5,X6,X7)=X6))|~(aSet0(X7)))|X7=sdtmndt0(X5,X6))|(~(aSet0(X5))|~(aElement0(X6))))&((((((aElement0(esk4_3(X5,X6,X7))|aElementOf0(esk4_3(X5,X6,X7),X7))|~(aSet0(X7)))|X7=sdtmndt0(X5,X6))|(~(aSet0(X5))|~(aElement0(X6))))&((((aElementOf0(esk4_3(X5,X6,X7),X5)|aElementOf0(esk4_3(X5,X6,X7),X7))|~(aSet0(X7)))|X7=sdtmndt0(X5,X6))|(~(aSet0(X5))|~(aElement0(X6)))))&((((~(esk4_3(X5,X6,X7)=X6)|aElementOf0(esk4_3(X5,X6,X7),X7))|~(aSet0(X7)))|X7=sdtmndt0(X5,X6))|(~(aSet0(X5))|~(aElement0(X6))))))),inference(distribute,[status(thm)],[139])).
% cnf(145,plain,(aSet0(X3)|~aElement0(X1)|~aSet0(X2)|X3!=sdtmndt0(X2,X1)),inference(split_conjunct,[status(thm)],[140])).
% cnf(146,plain,(aElementOf0(X4,X3)|X4=X1|~aElement0(X1)|~aSet0(X2)|X3!=sdtmndt0(X2,X1)|~aElementOf0(X4,X2)|~aElement0(X4)),inference(split_conjunct,[status(thm)],[140])).
% cnf(148,plain,(aElementOf0(X4,X2)|~aElement0(X1)|~aSet0(X2)|X3!=sdtmndt0(X2,X1)|~aElementOf0(X4,X3)),inference(split_conjunct,[status(thm)],[140])).
% fof(154, plain,![X1]:![X2]:((~(aElement0(X1))|~(aSet0(X2)))|(aElementOf0(X1,X2)|sdtmndt0(sdtpldt0(X2,X1),X1)=X2)),inference(fof_nnf,[status(thm)],[73])).
% fof(155, plain,![X3]:![X4]:((~(aElement0(X3))|~(aSet0(X4)))|(aElementOf0(X3,X4)|sdtmndt0(sdtpldt0(X4,X3),X3)=X4)),inference(variable_rename,[status(thm)],[154])).
% cnf(156,plain,(sdtmndt0(sdtpldt0(X1,X2),X2)=X1|aElementOf0(X2,X1)|~aSet0(X1)|~aElement0(X2)),inference(split_conjunct,[status(thm)],[155])).
% fof(157, plain,![X1]:(~(aElement0(X1))|![X2]:((~(aSet0(X2))|~(isFinite0(X2)))|isFinite0(sdtpldt0(X2,X1)))),inference(fof_nnf,[status(thm)],[13])).
% fof(158, plain,![X3]:(~(aElement0(X3))|![X4]:((~(aSet0(X4))|~(isFinite0(X4)))|isFinite0(sdtpldt0(X4,X3)))),inference(variable_rename,[status(thm)],[157])).
% fof(159, plain,![X3]:![X4]:(((~(aSet0(X4))|~(isFinite0(X4)))|isFinite0(sdtpldt0(X4,X3)))|~(aElement0(X3))),inference(shift_quantors,[status(thm)],[158])).
% cnf(160,plain,(isFinite0(sdtpldt0(X2,X1))|~aElement0(X1)|~isFinite0(X2)|~aSet0(X2)),inference(split_conjunct,[status(thm)],[159])).
% fof(161, plain,![X1]:(~(aElement0(X1))|![X2]:((~(aSet0(X2))|~(isFinite0(X2)))|isFinite0(sdtmndt0(X2,X1)))),inference(fof_nnf,[status(thm)],[14])).
% fof(162, plain,![X3]:(~(aElement0(X3))|![X4]:((~(aSet0(X4))|~(isFinite0(X4)))|isFinite0(sdtmndt0(X4,X3)))),inference(variable_rename,[status(thm)],[161])).
% fof(163, plain,![X3]:![X4]:(((~(aSet0(X4))|~(isFinite0(X4)))|isFinite0(sdtmndt0(X4,X3)))|~(aElement0(X3))),inference(shift_quantors,[status(thm)],[162])).
% cnf(164,plain,(isFinite0(sdtmndt0(X2,X1))|~aElement0(X1)|~isFinite0(X2)|~aSet0(X2)),inference(split_conjunct,[status(thm)],[163])).
% fof(179, 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)],[19])).
% fof(180, 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)],[179])).
% fof(181, 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(esk5_3(X5,X6,X7),X7))|(~(aSubsetOf0(esk5_3(X5,X6,X7),X5))|~(sbrdtbr0(esk5_3(X5,X6,X7))=X6)))&(aElementOf0(esk5_3(X5,X6,X7),X7)|(aSubsetOf0(esk5_3(X5,X6,X7),X5)&sbrdtbr0(esk5_3(X5,X6,X7))=X6))))|X7=slbdtsldtrb0(X5,X6)))),inference(skolemize,[status(esa)],[180])).
% fof(182, 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(esk5_3(X5,X6,X7),X7))|(~(aSubsetOf0(esk5_3(X5,X6,X7),X5))|~(sbrdtbr0(esk5_3(X5,X6,X7))=X6)))&(aElementOf0(esk5_3(X5,X6,X7),X7)|(aSubsetOf0(esk5_3(X5,X6,X7),X5)&sbrdtbr0(esk5_3(X5,X6,X7))=X6))))|X7=slbdtsldtrb0(X5,X6)))|(~(aSet0(X5))|~(aElementOf0(X6,szNzAzT0)))),inference(shift_quantors,[status(thm)],[181])).
% fof(183, 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(esk5_3(X5,X6,X7),X7))|(~(aSubsetOf0(esk5_3(X5,X6,X7),X5))|~(sbrdtbr0(esk5_3(X5,X6,X7))=X6)))|~(aSet0(X7)))|X7=slbdtsldtrb0(X5,X6))|(~(aSet0(X5))|~(aElementOf0(X6,szNzAzT0))))&(((((aSubsetOf0(esk5_3(X5,X6,X7),X5)|aElementOf0(esk5_3(X5,X6,X7),X7))|~(aSet0(X7)))|X7=slbdtsldtrb0(X5,X6))|(~(aSet0(X5))|~(aElementOf0(X6,szNzAzT0))))&((((sbrdtbr0(esk5_3(X5,X6,X7))=X6|aElementOf0(esk5_3(X5,X6,X7),X7))|~(aSet0(X7)))|X7=slbdtsldtrb0(X5,X6))|(~(aSet0(X5))|~(aElementOf0(X6,szNzAzT0))))))),inference(distribute,[status(thm)],[182])).
% cnf(188,plain,(aElementOf0(X4,X3)|~aElementOf0(X1,szNzAzT0)|~aSet0(X2)|X3!=slbdtsldtrb0(X2,X1)|sbrdtbr0(X4)!=X1|~aSubsetOf0(X4,X2)),inference(split_conjunct,[status(thm)],[183])).
% cnf(190,plain,(aSubsetOf0(X4,X2)|~aElementOf0(X1,szNzAzT0)|~aSet0(X2)|X3!=slbdtsldtrb0(X2,X1)|~aElementOf0(X4,X3)),inference(split_conjunct,[status(thm)],[183])).
% cnf(199,plain,(aElementOf0(xk,szNzAzT0)),inference(split_conjunct,[status(thm)],[22])).
% cnf(202,plain,(aSet0(xS)),inference(split_conjunct,[status(thm)],[23])).
% cnf(205,plain,(aElementOf0(xx,xS)),inference(split_conjunct,[status(thm)],[25])).
% cnf(206,plain,(aElementOf0(xQ,slbdtsldtrb0(xS,xk))),inference(split_conjunct,[status(thm)],[26])).
% cnf(207,plain,(sbrdtbr0(xQ)=xk),inference(split_conjunct,[status(thm)],[27])).
% cnf(208,plain,(isFinite0(xQ)),inference(split_conjunct,[status(thm)],[27])).
% cnf(209,plain,(aSet0(xQ)),inference(split_conjunct,[status(thm)],[27])).
% cnf(210,plain,(aElementOf0(xy,xQ)),inference(split_conjunct,[status(thm)],[28])).
% cnf(211,plain,(aElement0(xy)),inference(split_conjunct,[status(thm)],[28])).
% cnf(212,plain,(~aElementOf0(xx,xQ)),inference(split_conjunct,[status(thm)],[75])).
% cnf(214,plain,(xP=sdtpldt0(sdtmndt0(xQ,xy),xx)),inference(split_conjunct,[status(thm)],[31])).
% fof(225, plain,![X1]:(~(aSet0(X1))|![X2]:((~(isFinite0(X1))|~(aElementOf0(X2,X1)))|szszuzczcdt0(sbrdtbr0(sdtmndt0(X1,X2)))=sbrdtbr0(X1))),inference(fof_nnf,[status(thm)],[34])).
% fof(226, plain,![X3]:(~(aSet0(X3))|![X4]:((~(isFinite0(X3))|~(aElementOf0(X4,X3)))|szszuzczcdt0(sbrdtbr0(sdtmndt0(X3,X4)))=sbrdtbr0(X3))),inference(variable_rename,[status(thm)],[225])).
% fof(227, plain,![X3]:![X4]:(((~(isFinite0(X3))|~(aElementOf0(X4,X3)))|szszuzczcdt0(sbrdtbr0(sdtmndt0(X3,X4)))=sbrdtbr0(X3))|~(aSet0(X3))),inference(shift_quantors,[status(thm)],[226])).
% cnf(228,plain,(szszuzczcdt0(sbrdtbr0(sdtmndt0(X1,X2)))=sbrdtbr0(X1)|~aSet0(X1)|~aElementOf0(X2,X1)|~isFinite0(X1)),inference(split_conjunct,[status(thm)],[227])).
% cnf(368,negated_conjecture,(~aElementOf0(xP,slbdtsldtrb0(xS,xk))),inference(split_conjunct,[status(thm)],[86])).
% cnf(374,plain,(aElementOf0(X1,X2)|sdtpldt0(X3,X1)!=X2|~aElement0(X1)|~aSet0(X3)),inference(er,[status(thm)],[132,theory(equality)])).
% cnf(382,plain,(X1=X4|aElementOf0(X4,X3)|sdtmndt0(X2,X1)!=X3|~aElement0(X1)|~aElementOf0(X4,X2)|~aSet0(X2)),inference(csr,[status(thm)],[146,90])).
% cnf(421,plain,(aElement0(xx)|~aSet0(xS)),inference(spm,[status(thm)],[90,205,theory(equality)])).
% cnf(431,plain,(aElement0(xx)|$false),inference(rw,[status(thm)],[421,202,theory(equality)])).
% cnf(432,plain,(aElement0(xx)),inference(cn,[status(thm)],[431,theory(equality)])).
% cnf(509,plain,(aSet0(sdtpldt0(X1,X2))|~aElement0(X2)|~aSet0(X1)),inference(er,[status(thm)],[131,theory(equality)])).
% cnf(513,plain,(aElementOf0(X1,sdtpldt0(X2,X1))|~aElement0(X1)|~aSet0(X2)),inference(er,[status(thm)],[374,theory(equality)])).
% cnf(520,plain,(isFinite0(xP)|~isFinite0(sdtmndt0(xQ,xy))|~aElement0(xx)|~aSet0(sdtmndt0(xQ,xy))),inference(spm,[status(thm)],[160,214,theory(equality)])).
% cnf(522,plain,(aSet0(sdtmndt0(X1,X2))|~aElement0(X2)|~aSet0(X1)),inference(er,[status(thm)],[145,theory(equality)])).
% cnf(551,plain,(sdtmndt0(xP,xx)=sdtmndt0(xQ,xy)|aElementOf0(xx,sdtmndt0(xQ,xy))|~aElement0(xx)|~aSet0(sdtmndt0(xQ,xy))),inference(spm,[status(thm)],[156,214,theory(equality)])).
% cnf(582,plain,(aSubsetOf0(X1,X2)|~aElementOf0(X3,szNzAzT0)|~aElementOf0(X1,slbdtsldtrb0(X2,X3))|~aSet0(X2)),inference(er,[status(thm)],[190,theory(equality)])).
% cnf(602,plain,(aElementOf0(X1,X2)|~aElement0(X3)|~aElementOf0(X1,sdtmndt0(X2,X3))|~aSet0(X2)),inference(er,[status(thm)],[148,theory(equality)])).
% cnf(738,plain,(aElementOf0(X1,slbdtsldtrb0(X2,X3))|sbrdtbr0(X1)!=X3|~aSubsetOf0(X1,X2)|~aElementOf0(X3,szNzAzT0)|~aSet0(X2)),inference(er,[status(thm)],[188,theory(equality)])).
% cnf(1039,plain,(aSet0(xP)|~aElement0(xx)|~aSet0(sdtmndt0(xQ,xy))),inference(spm,[status(thm)],[509,214,theory(equality)])).
% cnf(1041,plain,(aSet0(xP)|$false|~aSet0(sdtmndt0(xQ,xy))),inference(rw,[status(thm)],[1039,432,theory(equality)])).
% cnf(1042,plain,(aSet0(xP)|~aSet0(sdtmndt0(xQ,xy))),inference(cn,[status(thm)],[1041,theory(equality)])).
% cnf(1148,plain,(aElementOf0(xx,xP)|~aElement0(xx)|~aSet0(sdtmndt0(xQ,xy))),inference(spm,[status(thm)],[513,214,theory(equality)])).
% cnf(1150,plain,(aElementOf0(xx,xP)|$false|~aSet0(sdtmndt0(xQ,xy))),inference(rw,[status(thm)],[1148,432,theory(equality)])).
% cnf(1151,plain,(aElementOf0(xx,xP)|~aSet0(sdtmndt0(xQ,xy))),inference(cn,[status(thm)],[1150,theory(equality)])).
% cnf(1153,plain,(aSet0(xP)|~aElement0(xy)|~aSet0(xQ)),inference(spm,[status(thm)],[1042,522,theory(equality)])).
% cnf(1154,plain,(aElementOf0(xx,xP)|~aElement0(xy)|~aSet0(xQ)),inference(spm,[status(thm)],[1151,522,theory(equality)])).
% cnf(1156,plain,(aSet0(xP)|$false|~aSet0(xQ)),inference(rw,[status(thm)],[1153,211,theory(equality)])).
% cnf(1157,plain,(aSet0(xP)|$false|$false),inference(rw,[status(thm)],[1156,209,theory(equality)])).
% cnf(1158,plain,(aSet0(xP)),inference(cn,[status(thm)],[1157,theory(equality)])).
% cnf(1159,plain,(aElementOf0(xx,xP)|$false|~aSet0(xQ)),inference(rw,[status(thm)],[1154,211,theory(equality)])).
% cnf(1160,plain,(aElementOf0(xx,xP)|$false|$false),inference(rw,[status(thm)],[1159,209,theory(equality)])).
% cnf(1161,plain,(aElementOf0(xx,xP)),inference(cn,[status(thm)],[1160,theory(equality)])).
% cnf(1617,plain,(isFinite0(xP)|~isFinite0(sdtmndt0(xQ,xy))|$false|~aSet0(sdtmndt0(xQ,xy))),inference(rw,[status(thm)],[520,432,theory(equality)])).
% cnf(1618,plain,(isFinite0(xP)|~isFinite0(sdtmndt0(xQ,xy))|~aSet0(sdtmndt0(xQ,xy))),inference(cn,[status(thm)],[1617,theory(equality)])).
% cnf(1620,plain,(isFinite0(xP)|~aSet0(sdtmndt0(xQ,xy))|~isFinite0(xQ)|~aElement0(xy)|~aSet0(xQ)),inference(spm,[status(thm)],[1618,164,theory(equality)])).
% cnf(1621,plain,(isFinite0(xP)|~aSet0(sdtmndt0(xQ,xy))|$false|~aElement0(xy)|~aSet0(xQ)),inference(rw,[status(thm)],[1620,208,theory(equality)])).
% cnf(1622,plain,(isFinite0(xP)|~aSet0(sdtmndt0(xQ,xy))|$false|$false|~aSet0(xQ)),inference(rw,[status(thm)],[1621,211,theory(equality)])).
% cnf(1623,plain,(isFinite0(xP)|~aSet0(sdtmndt0(xQ,xy))|$false|$false|$false),inference(rw,[status(thm)],[1622,209,theory(equality)])).
% cnf(1624,plain,(isFinite0(xP)|~aSet0(sdtmndt0(xQ,xy))),inference(cn,[status(thm)],[1623,theory(equality)])).
% cnf(1635,plain,(isFinite0(xP)|~aElement0(xy)|~aSet0(xQ)),inference(spm,[status(thm)],[1624,522,theory(equality)])).
% cnf(1636,plain,(isFinite0(xP)|$false|~aSet0(xQ)),inference(rw,[status(thm)],[1635,211,theory(equality)])).
% cnf(1637,plain,(isFinite0(xP)|$false|$false),inference(rw,[status(thm)],[1636,209,theory(equality)])).
% cnf(1638,plain,(isFinite0(xP)),inference(cn,[status(thm)],[1637,theory(equality)])).
% cnf(1987,plain,(aSubsetOf0(xQ,xS)|~aElementOf0(xk,szNzAzT0)|~aSet0(xS)),inference(spm,[status(thm)],[582,206,theory(equality)])).
% cnf(1996,plain,(aSubsetOf0(xQ,xS)|$false|~aSet0(xS)),inference(rw,[status(thm)],[1987,199,theory(equality)])).
% cnf(1997,plain,(aSubsetOf0(xQ,xS)|$false|$false),inference(rw,[status(thm)],[1996,202,theory(equality)])).
% cnf(1998,plain,(aSubsetOf0(xQ,xS)),inference(cn,[status(thm)],[1997,theory(equality)])).
% cnf(2006,plain,(aElementOf0(X1,xS)|~aElementOf0(X1,xQ)|~aSet0(xS)),inference(spm,[status(thm)],[108,1998,theory(equality)])).
% cnf(2017,plain,(aElementOf0(X1,xS)|~aElementOf0(X1,xQ)|$false),inference(rw,[status(thm)],[2006,202,theory(equality)])).
% cnf(2018,plain,(aElementOf0(X1,xS)|~aElementOf0(X1,xQ)),inference(cn,[status(thm)],[2017,theory(equality)])).
% cnf(2041,plain,(aSubsetOf0(X1,xS)|~aSet0(X1)|~aSet0(xS)|~aElementOf0(esk2_2(xS,X1),xQ)),inference(spm,[status(thm)],[105,2018,theory(equality)])).
% cnf(2055,plain,(aSubsetOf0(X1,xS)|~aSet0(X1)|$false|~aElementOf0(esk2_2(xS,X1),xQ)),inference(rw,[status(thm)],[2041,202,theory(equality)])).
% cnf(2056,plain,(aSubsetOf0(X1,xS)|~aSet0(X1)|~aElementOf0(esk2_2(xS,X1),xQ)),inference(cn,[status(thm)],[2055,theory(equality)])).
% cnf(2459,plain,(sdtmndt0(xP,xx)=sdtmndt0(xQ,xy)|aElementOf0(xx,sdtmndt0(xQ,xy))|$false|~aSet0(sdtmndt0(xQ,xy))),inference(rw,[status(thm)],[551,432,theory(equality)])).
% cnf(2460,plain,(sdtmndt0(xP,xx)=sdtmndt0(xQ,xy)|aElementOf0(xx,sdtmndt0(xQ,xy))|~aSet0(sdtmndt0(xQ,xy))),inference(cn,[status(thm)],[2459,theory(equality)])).
% cnf(3709,plain,(aElementOf0(xx,xQ)|sdtmndt0(xP,xx)=sdtmndt0(xQ,xy)|~aElement0(xy)|~aSet0(xQ)|~aSet0(sdtmndt0(xQ,xy))),inference(spm,[status(thm)],[602,2460,theory(equality)])).
% cnf(3710,plain,(aElementOf0(xx,xQ)|sdtmndt0(xP,xx)=sdtmndt0(xQ,xy)|$false|~aSet0(xQ)|~aSet0(sdtmndt0(xQ,xy))),inference(rw,[status(thm)],[3709,211,theory(equality)])).
% cnf(3711,plain,(aElementOf0(xx,xQ)|sdtmndt0(xP,xx)=sdtmndt0(xQ,xy)|$false|$false|~aSet0(sdtmndt0(xQ,xy))),inference(rw,[status(thm)],[3710,209,theory(equality)])).
% cnf(3712,plain,(aElementOf0(xx,xQ)|sdtmndt0(xP,xx)=sdtmndt0(xQ,xy)|~aSet0(sdtmndt0(xQ,xy))),inference(cn,[status(thm)],[3711,theory(equality)])).
% cnf(3713,plain,(sdtmndt0(xP,xx)=sdtmndt0(xQ,xy)|~aSet0(sdtmndt0(xQ,xy))),inference(sr,[status(thm)],[3712,212,theory(equality)])).
% cnf(3741,plain,(sdtmndt0(xP,xx)=sdtmndt0(xQ,xy)|~aElement0(xy)|~aSet0(xQ)),inference(spm,[status(thm)],[3713,522,theory(equality)])).
% cnf(3742,plain,(sdtmndt0(xP,xx)=sdtmndt0(xQ,xy)|$false|~aSet0(xQ)),inference(rw,[status(thm)],[3741,211,theory(equality)])).
% cnf(3743,plain,(sdtmndt0(xP,xx)=sdtmndt0(xQ,xy)|$false|$false),inference(rw,[status(thm)],[3742,209,theory(equality)])).
% cnf(3744,plain,(sdtmndt0(xP,xx)=sdtmndt0(xQ,xy)),inference(cn,[status(thm)],[3743,theory(equality)])).
% cnf(3750,plain,(szszuzczcdt0(sbrdtbr0(sdtmndt0(xQ,xy)))=sbrdtbr0(xP)|~isFinite0(xP)|~aElementOf0(xx,xP)|~aSet0(xP)),inference(spm,[status(thm)],[228,3744,theory(equality)])).
% cnf(3762,plain,(xx=X1|aElementOf0(X1,X2)|sdtmndt0(xQ,xy)!=X2|~aElement0(xx)|~aElementOf0(X1,xP)|~aSet0(xP)),inference(spm,[status(thm)],[382,3744,theory(equality)])).
% cnf(3782,plain,(szszuzczcdt0(sbrdtbr0(sdtmndt0(xQ,xy)))=sbrdtbr0(xP)|$false|~aElementOf0(xx,xP)|~aSet0(xP)),inference(rw,[status(thm)],[3750,1638,theory(equality)])).
% cnf(3783,plain,(szszuzczcdt0(sbrdtbr0(sdtmndt0(xQ,xy)))=sbrdtbr0(xP)|$false|$false|~aSet0(xP)),inference(rw,[status(thm)],[3782,1161,theory(equality)])).
% cnf(3784,plain,(szszuzczcdt0(sbrdtbr0(sdtmndt0(xQ,xy)))=sbrdtbr0(xP)|$false|$false|$false),inference(rw,[status(thm)],[3783,1158,theory(equality)])).
% cnf(3785,plain,(szszuzczcdt0(sbrdtbr0(sdtmndt0(xQ,xy)))=sbrdtbr0(xP)),inference(cn,[status(thm)],[3784,theory(equality)])).
% cnf(3822,plain,(xx=X1|aElementOf0(X1,X2)|sdtmndt0(xQ,xy)!=X2|$false|~aElementOf0(X1,xP)|~aSet0(xP)),inference(rw,[status(thm)],[3762,432,theory(equality)])).
% cnf(3823,plain,(xx=X1|aElementOf0(X1,X2)|sdtmndt0(xQ,xy)!=X2|$false|~aElementOf0(X1,xP)|$false),inference(rw,[status(thm)],[3822,1158,theory(equality)])).
% cnf(3824,plain,(xx=X1|aElementOf0(X1,X2)|sdtmndt0(xQ,xy)!=X2|~aElementOf0(X1,xP)),inference(cn,[status(thm)],[3823,theory(equality)])).
% cnf(3944,plain,(sbrdtbr0(xP)=sbrdtbr0(xQ)|~isFinite0(xQ)|~aElementOf0(xy,xQ)|~aSet0(xQ)),inference(spm,[status(thm)],[228,3785,theory(equality)])).
% cnf(3950,plain,(sbrdtbr0(xP)=xk|~isFinite0(xQ)|~aElementOf0(xy,xQ)|~aSet0(xQ)),inference(rw,[status(thm)],[3944,207,theory(equality)])).
% cnf(3951,plain,(sbrdtbr0(xP)=xk|$false|~aElementOf0(xy,xQ)|~aSet0(xQ)),inference(rw,[status(thm)],[3950,208,theory(equality)])).
% cnf(3952,plain,(sbrdtbr0(xP)=xk|$false|$false|~aSet0(xQ)),inference(rw,[status(thm)],[3951,210,theory(equality)])).
% cnf(3953,plain,(sbrdtbr0(xP)=xk|$false|$false|$false),inference(rw,[status(thm)],[3952,209,theory(equality)])).
% cnf(3954,plain,(sbrdtbr0(xP)=xk),inference(cn,[status(thm)],[3953,theory(equality)])).
% cnf(4577,plain,(xx=X1|aElementOf0(X1,sdtmndt0(xQ,xy))|~aElementOf0(X1,xP)),inference(er,[status(thm)],[3824,theory(equality)])).
% cnf(4591,plain,(aElementOf0(X1,xQ)|xx=X1|~aElement0(xy)|~aSet0(xQ)|~aElementOf0(X1,xP)),inference(spm,[status(thm)],[602,4577,theory(equality)])).
% cnf(4610,plain,(aElementOf0(X1,xQ)|xx=X1|$false|~aSet0(xQ)|~aElementOf0(X1,xP)),inference(rw,[status(thm)],[4591,211,theory(equality)])).
% cnf(4611,plain,(aElementOf0(X1,xQ)|xx=X1|$false|$false|~aElementOf0(X1,xP)),inference(rw,[status(thm)],[4610,209,theory(equality)])).
% cnf(4612,plain,(aElementOf0(X1,xQ)|xx=X1|~aElementOf0(X1,xP)),inference(cn,[status(thm)],[4611,theory(equality)])).
% cnf(4622,plain,(xx=esk2_2(X1,xP)|aElementOf0(esk2_2(X1,xP),xQ)|aSubsetOf0(xP,X1)|~aSet0(xP)|~aSet0(X1)),inference(spm,[status(thm)],[4612,106,theory(equality)])).
% cnf(4631,plain,(xx=esk2_2(X1,xP)|aElementOf0(esk2_2(X1,xP),xQ)|aSubsetOf0(xP,X1)|$false|~aSet0(X1)),inference(rw,[status(thm)],[4622,1158,theory(equality)])).
% cnf(4632,plain,(xx=esk2_2(X1,xP)|aElementOf0(esk2_2(X1,xP),xQ)|aSubsetOf0(xP,X1)|~aSet0(X1)),inference(cn,[status(thm)],[4631,theory(equality)])).
% cnf(9971,negated_conjecture,(sbrdtbr0(xP)!=xk|~aSubsetOf0(xP,xS)|~aElementOf0(xk,szNzAzT0)|~aSet0(xS)),inference(spm,[status(thm)],[368,738,theory(equality)])).
% cnf(9984,negated_conjecture,($false|~aSubsetOf0(xP,xS)|~aElementOf0(xk,szNzAzT0)|~aSet0(xS)),inference(rw,[status(thm)],[9971,3954,theory(equality)])).
% cnf(9985,negated_conjecture,($false|~aSubsetOf0(xP,xS)|$false|~aSet0(xS)),inference(rw,[status(thm)],[9984,199,theory(equality)])).
% cnf(9986,negated_conjecture,($false|~aSubsetOf0(xP,xS)|$false|$false),inference(rw,[status(thm)],[9985,202,theory(equality)])).
% cnf(9987,negated_conjecture,(~aSubsetOf0(xP,xS)),inference(cn,[status(thm)],[9986,theory(equality)])).
% cnf(106965,plain,(aSubsetOf0(xP,xS)|esk2_2(xS,xP)=xx|~aSet0(xP)|~aSet0(xS)),inference(spm,[status(thm)],[2056,4632,theory(equality)])).
% cnf(106993,plain,(aSubsetOf0(xP,xS)|esk2_2(xS,xP)=xx|$false|~aSet0(xS)),inference(rw,[status(thm)],[106965,1158,theory(equality)])).
% cnf(106994,plain,(aSubsetOf0(xP,xS)|esk2_2(xS,xP)=xx|$false|$false),inference(rw,[status(thm)],[106993,202,theory(equality)])).
% cnf(106995,plain,(aSubsetOf0(xP,xS)|esk2_2(xS,xP)=xx),inference(cn,[status(thm)],[106994,theory(equality)])).
% cnf(106996,plain,(esk2_2(xS,xP)=xx),inference(sr,[status(thm)],[106995,9987,theory(equality)])).
% cnf(107004,plain,(aSubsetOf0(xP,xS)|~aElementOf0(xx,xS)|~aSet0(xP)|~aSet0(xS)),inference(spm,[status(thm)],[105,106996,theory(equality)])).
% cnf(107043,plain,(aSubsetOf0(xP,xS)|$false|~aSet0(xP)|~aSet0(xS)),inference(rw,[status(thm)],[107004,205,theory(equality)])).
% cnf(107044,plain,(aSubsetOf0(xP,xS)|$false|$false|~aSet0(xS)),inference(rw,[status(thm)],[107043,1158,theory(equality)])).
% cnf(107045,plain,(aSubsetOf0(xP,xS)|$false|$false|$false),inference(rw,[status(thm)],[107044,202,theory(equality)])).
% cnf(107046,plain,(aSubsetOf0(xP,xS)),inference(cn,[status(thm)],[107045,theory(equality)])).
% cnf(107047,plain,($false),inference(sr,[status(thm)],[107046,9987,theory(equality)])).
% cnf(107048,plain,($false),107047,['proof']).
% # SZS output end CNFRefutation
% # Processed clauses : 9532
% # ...of these trivial : 89
% # ...subsumed : 6662
% # ...remaining for further processing: 2781
% # Other redundant clauses eliminated : 15
% # Clauses deleted for lack of memory : 0
% # Backward-subsumed : 189
% # Backward-rewritten : 56
% # Generated clauses : 56956
% # ...of the previous two non-trivial : 52574
% # Contextual simplify-reflections : 4758
% # Paramodulations : 56769
% # Factorizations : 5
% # Equation resolutions : 176
% # Current number of processed clauses: 2409
% # Positive orientable unit clauses: 89
% # Positive unorientable unit clauses: 0
% # Negative unit clauses : 66
% # Non-unit-clauses : 2254
% # Current number of unprocessed clauses: 40311
% # ...number of literals in the above : 268660
% # Clause-clause subsumption calls (NU) : 300087
% # Rec. Clause-clause subsumption calls : 122659
% # Unit Clause-clause subsumption calls : 2434
% # Rewrite failures with RHS unbound : 0
% # Indexed BW rewrite attempts : 50
% # Indexed BW rewrite successes : 41
% # Backwards rewriting index: 1459 leaves, 1.40+/-1.217 terms/leaf
% # Paramod-from index: 594 leaves, 1.14+/-0.464 terms/leaf
% # Paramod-into index: 1062 leaves, 1.32+/-1.008 terms/leaf
% # -------------------------------------------------
% # User time : 4.179 s
% # System time : 0.131 s
% # Total time : 4.310 s
% # Maximum resident set size: 0 pages
% PrfWatch: 6.08 CPU 6.59 WC
% FINAL PrfWatch: 6.08 CPU 6.59 WC
% SZS output end Solution for /tmp/SystemOnTPTP14637/NUM554+1.tptp
%
%------------------------------------------------------------------------------