TSTP Solution File: NUM554+3 by SRASS---0.1
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : SRASS---0.1
% Problem : NUM554+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 : 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 20:04:41 EST 2010
% Result : Theorem 1.43s
% Output : Solution 1.43s
% 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/SystemOnTPTP14898/NUM554+3.tptp
% Adding relevance values
% Extracting the conjecture
% Sorting axioms by relevance
% Looking for THM ...
% found
% SZS status THM for /tmp/SystemOnTPTP14898/NUM554+3.tptp
% SZS output start Solution for /tmp/SystemOnTPTP14898/NUM554+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 15028
% TreeLimitedRun: ----------------------------------------------------------
% PrfWatch: 0.00 CPU 0.00 WC
% # Preprocessing time : 0.026 s
% # Problem is unsatisfiable (or provable), constructing proof object
% # SZS status Theorem
% # 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(7, axiom,![X1]:![X2]:((aSet0(X1)&aSet0(X2))=>((aSubsetOf0(X1,X2)&aSubsetOf0(X2,X1))=>X1=X2)),file('/tmp/SRASS.s.p', mSubASymm)).
% 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(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(23, axiom,((aSet0(xS)&aSet0(xT))&~(xk=sz00)),file('/tmp/SRASS.s.p', m__2202_02)).
% fof(24, axiom,((((((aSet0(slbdtsldtrb0(xS,xk))&![X1]:((aElementOf0(X1,slbdtsldtrb0(xS,xk))=>(((aSet0(X1)&![X2]:(aElementOf0(X2,X1)=>aElementOf0(X2,xS)))&aSubsetOf0(X1,xS))&sbrdtbr0(X1)=xk))&((((aSet0(X1)&![X2]:(aElementOf0(X2,X1)=>aElementOf0(X2,xS)))|aSubsetOf0(X1,xS))&sbrdtbr0(X1)=xk)=>aElementOf0(X1,slbdtsldtrb0(xS,xk)))))&aSet0(slbdtsldtrb0(xT,xk)))&![X1]:((aElementOf0(X1,slbdtsldtrb0(xT,xk))=>(((aSet0(X1)&![X2]:(aElementOf0(X2,X1)=>aElementOf0(X2,xT)))&aSubsetOf0(X1,xT))&sbrdtbr0(X1)=xk))&((((aSet0(X1)&![X2]:(aElementOf0(X2,X1)=>aElementOf0(X2,xT)))|aSubsetOf0(X1,xT))&sbrdtbr0(X1)=xk)=>aElementOf0(X1,slbdtsldtrb0(xT,xk)))))&![X1]:(aElementOf0(X1,slbdtsldtrb0(xS,xk))=>aElementOf0(X1,slbdtsldtrb0(xT,xk))))&aSubsetOf0(slbdtsldtrb0(xS,xk),slbdtsldtrb0(xT,xk)))&~((![X1]:((aElementOf0(X1,slbdtsldtrb0(xS,xk))=>(((aSet0(X1)&![X2]:(aElementOf0(X2,X1)=>aElementOf0(X2,xS)))&aSubsetOf0(X1,xS))&sbrdtbr0(X1)=xk))&((((aSet0(X1)&![X2]:(aElementOf0(X2,X1)=>aElementOf0(X2,xS)))|aSubsetOf0(X1,xS))&sbrdtbr0(X1)=xk)=>aElementOf0(X1,slbdtsldtrb0(xS,xk))))=>(~(?[X1]:aElementOf0(X1,slbdtsldtrb0(xS,xk)))|slbdtsldtrb0(xS,xk)=slcrc0)))),file('/tmp/SRASS.s.p', m__2227)).
% fof(25, axiom,aElementOf0(xx,xS),file('/tmp/SRASS.s.p', m__2256)).
% fof(26, axiom,((((aSet0(xQ)&![X1]:(aElementOf0(X1,xQ)=>aElementOf0(X1,xS)))&aSubsetOf0(xQ,xS))&sbrdtbr0(xQ)=xk)&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,((((aSet0(sdtmndt0(xQ,xy))&![X1]:(aElementOf0(X1,sdtmndt0(xQ,xy))<=>((aElement0(X1)&aElementOf0(X1,xQ))&~(X1=xy))))&aSet0(xP))&![X1]:(aElementOf0(X1,xP)<=>(aElement0(X1)&(aElementOf0(X1,sdtmndt0(xQ,xy))|X1=xx))))&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,(((![X1]:(aElementOf0(X1,xP)=>aElementOf0(X1,xS))|aSubsetOf0(xP,xS))&sbrdtbr0(xP)=xk)|aElementOf0(xP,slbdtsldtrb0(xS,xk))),file('/tmp/SRASS.s.p', m__)).
% fof(72, negated_conjecture,~((((![X1]:(aElementOf0(X1,xP)=>aElementOf0(X1,xS))|aSubsetOf0(xP,xS))&sbrdtbr0(xP)=xk)|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, plain,![X1]:(~(aSet0(X1))|![X2]:(~(aElementOf0(X2,X1))|aElement0(X2))),inference(fof_nnf,[status(thm)],[1])).
% fof(87, plain,![X3]:(~(aSet0(X3))|![X4]:(~(aElementOf0(X4,X3))|aElement0(X4))),inference(variable_rename,[status(thm)],[86])).
% fof(88, plain,![X3]:![X4]:((~(aElementOf0(X4,X3))|aElement0(X4))|~(aSet0(X3))),inference(shift_quantors,[status(thm)],[87])).
% cnf(89,plain,(aElement0(X2)|~aSet0(X1)|~aElementOf0(X2,X1)),inference(split_conjunct,[status(thm)],[88])).
% fof(99, 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(100, 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)],[99])).
% fof(101, 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)],[100])).
% fof(102, 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)],[101])).
% fof(103, 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)],[102])).
% cnf(104,plain,(aSubsetOf0(X2,X1)|~aSet0(X1)|~aSet0(X2)|~aElementOf0(esk2_2(X1,X2),X1)),inference(split_conjunct,[status(thm)],[103])).
% cnf(105,plain,(aSubsetOf0(X2,X1)|aElementOf0(esk2_2(X1,X2),X2)|~aSet0(X1)|~aSet0(X2)),inference(split_conjunct,[status(thm)],[103])).
% cnf(106,plain,(aSet0(X2)|~aSet0(X1)|~aSubsetOf0(X2,X1)),inference(split_conjunct,[status(thm)],[103])).
% fof(115, plain,![X1]:![X2]:((~(aSet0(X1))|~(aSet0(X2)))|((~(aSubsetOf0(X1,X2))|~(aSubsetOf0(X2,X1)))|X1=X2)),inference(fof_nnf,[status(thm)],[7])).
% fof(116, plain,![X3]:![X4]:((~(aSet0(X3))|~(aSet0(X4)))|((~(aSubsetOf0(X3,X4))|~(aSubsetOf0(X4,X3)))|X3=X4)),inference(variable_rename,[status(thm)],[115])).
% cnf(117,plain,(X1=X2|~aSubsetOf0(X2,X1)|~aSubsetOf0(X1,X2)|~aSet0(X2)|~aSet0(X1)),inference(split_conjunct,[status(thm)],[116])).
% fof(121, 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(122, 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)],[121])).
% 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))|((~(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)],[122])).
% fof(124, 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)],[123])).
% fof(125, 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)],[124])).
% cnf(131,plain,(aElementOf0(X4,X3)|~aElement0(X1)|~aSet0(X2)|X3!=sdtpldt0(X2,X1)|~aElement0(X4)|X4!=X1),inference(split_conjunct,[status(thm)],[125])).
% fof(153, plain,![X1]:![X2]:((~(aElement0(X1))|~(aSet0(X2)))|(aElementOf0(X1,X2)|sdtmndt0(sdtpldt0(X2,X1),X1)=X2)),inference(fof_nnf,[status(thm)],[73])).
% fof(154, plain,![X3]:![X4]:((~(aElement0(X3))|~(aSet0(X4)))|(aElementOf0(X3,X4)|sdtmndt0(sdtpldt0(X4,X3),X3)=X4)),inference(variable_rename,[status(thm)],[153])).
% cnf(155,plain,(sdtmndt0(sdtpldt0(X1,X2),X2)=X1|aElementOf0(X2,X1)|~aSet0(X1)|~aElement0(X2)),inference(split_conjunct,[status(thm)],[154])).
% fof(156, plain,![X1]:(~(aElement0(X1))|![X2]:((~(aSet0(X2))|~(isFinite0(X2)))|isFinite0(sdtpldt0(X2,X1)))),inference(fof_nnf,[status(thm)],[13])).
% fof(157, plain,![X3]:(~(aElement0(X3))|![X4]:((~(aSet0(X4))|~(isFinite0(X4)))|isFinite0(sdtpldt0(X4,X3)))),inference(variable_rename,[status(thm)],[156])).
% fof(158, plain,![X3]:![X4]:(((~(aSet0(X4))|~(isFinite0(X4)))|isFinite0(sdtpldt0(X4,X3)))|~(aElement0(X3))),inference(shift_quantors,[status(thm)],[157])).
% cnf(159,plain,(isFinite0(sdtpldt0(X2,X1))|~aElement0(X1)|~isFinite0(X2)|~aSet0(X2)),inference(split_conjunct,[status(thm)],[158])).
% fof(160, plain,![X1]:(~(aElement0(X1))|![X2]:((~(aSet0(X2))|~(isFinite0(X2)))|isFinite0(sdtmndt0(X2,X1)))),inference(fof_nnf,[status(thm)],[14])).
% fof(161, plain,![X3]:(~(aElement0(X3))|![X4]:((~(aSet0(X4))|~(isFinite0(X4)))|isFinite0(sdtmndt0(X4,X3)))),inference(variable_rename,[status(thm)],[160])).
% fof(162, plain,![X3]:![X4]:(((~(aSet0(X4))|~(isFinite0(X4)))|isFinite0(sdtmndt0(X4,X3)))|~(aElement0(X3))),inference(shift_quantors,[status(thm)],[161])).
% cnf(163,plain,(isFinite0(sdtmndt0(X2,X1))|~aElement0(X1)|~isFinite0(X2)|~aSet0(X2)),inference(split_conjunct,[status(thm)],[162])).
% cnf(201,plain,(aSet0(xS)),inference(split_conjunct,[status(thm)],[23])).
% fof(202, plain,((((((aSet0(slbdtsldtrb0(xS,xk))&![X1]:((~(aElementOf0(X1,slbdtsldtrb0(xS,xk)))|(((aSet0(X1)&![X2]:(~(aElementOf0(X2,X1))|aElementOf0(X2,xS)))&aSubsetOf0(X1,xS))&sbrdtbr0(X1)=xk))&((((~(aSet0(X1))|?[X2]:(aElementOf0(X2,X1)&~(aElementOf0(X2,xS))))&~(aSubsetOf0(X1,xS)))|~(sbrdtbr0(X1)=xk))|aElementOf0(X1,slbdtsldtrb0(xS,xk)))))&aSet0(slbdtsldtrb0(xT,xk)))&![X1]:((~(aElementOf0(X1,slbdtsldtrb0(xT,xk)))|(((aSet0(X1)&![X2]:(~(aElementOf0(X2,X1))|aElementOf0(X2,xT)))&aSubsetOf0(X1,xT))&sbrdtbr0(X1)=xk))&((((~(aSet0(X1))|?[X2]:(aElementOf0(X2,X1)&~(aElementOf0(X2,xT))))&~(aSubsetOf0(X1,xT)))|~(sbrdtbr0(X1)=xk))|aElementOf0(X1,slbdtsldtrb0(xT,xk)))))&![X1]:(~(aElementOf0(X1,slbdtsldtrb0(xS,xk)))|aElementOf0(X1,slbdtsldtrb0(xT,xk))))&aSubsetOf0(slbdtsldtrb0(xS,xk),slbdtsldtrb0(xT,xk)))&(![X1]:((~(aElementOf0(X1,slbdtsldtrb0(xS,xk)))|(((aSet0(X1)&![X2]:(~(aElementOf0(X2,X1))|aElementOf0(X2,xS)))&aSubsetOf0(X1,xS))&sbrdtbr0(X1)=xk))&((((~(aSet0(X1))|?[X2]:(aElementOf0(X2,X1)&~(aElementOf0(X2,xS))))&~(aSubsetOf0(X1,xS)))|~(sbrdtbr0(X1)=xk))|aElementOf0(X1,slbdtsldtrb0(xS,xk))))&(?[X1]:aElementOf0(X1,slbdtsldtrb0(xS,xk))&~(slbdtsldtrb0(xS,xk)=slcrc0)))),inference(fof_nnf,[status(thm)],[24])).
% fof(203, plain,((((((aSet0(slbdtsldtrb0(xS,xk))&![X3]:((~(aElementOf0(X3,slbdtsldtrb0(xS,xk)))|(((aSet0(X3)&![X4]:(~(aElementOf0(X4,X3))|aElementOf0(X4,xS)))&aSubsetOf0(X3,xS))&sbrdtbr0(X3)=xk))&((((~(aSet0(X3))|?[X5]:(aElementOf0(X5,X3)&~(aElementOf0(X5,xS))))&~(aSubsetOf0(X3,xS)))|~(sbrdtbr0(X3)=xk))|aElementOf0(X3,slbdtsldtrb0(xS,xk)))))&aSet0(slbdtsldtrb0(xT,xk)))&![X6]:((~(aElementOf0(X6,slbdtsldtrb0(xT,xk)))|(((aSet0(X6)&![X7]:(~(aElementOf0(X7,X6))|aElementOf0(X7,xT)))&aSubsetOf0(X6,xT))&sbrdtbr0(X6)=xk))&((((~(aSet0(X6))|?[X8]:(aElementOf0(X8,X6)&~(aElementOf0(X8,xT))))&~(aSubsetOf0(X6,xT)))|~(sbrdtbr0(X6)=xk))|aElementOf0(X6,slbdtsldtrb0(xT,xk)))))&![X9]:(~(aElementOf0(X9,slbdtsldtrb0(xS,xk)))|aElementOf0(X9,slbdtsldtrb0(xT,xk))))&aSubsetOf0(slbdtsldtrb0(xS,xk),slbdtsldtrb0(xT,xk)))&(![X10]:((~(aElementOf0(X10,slbdtsldtrb0(xS,xk)))|(((aSet0(X10)&![X11]:(~(aElementOf0(X11,X10))|aElementOf0(X11,xS)))&aSubsetOf0(X10,xS))&sbrdtbr0(X10)=xk))&((((~(aSet0(X10))|?[X12]:(aElementOf0(X12,X10)&~(aElementOf0(X12,xS))))&~(aSubsetOf0(X10,xS)))|~(sbrdtbr0(X10)=xk))|aElementOf0(X10,slbdtsldtrb0(xS,xk))))&(?[X13]:aElementOf0(X13,slbdtsldtrb0(xS,xk))&~(slbdtsldtrb0(xS,xk)=slcrc0)))),inference(variable_rename,[status(thm)],[202])).
% fof(204, plain,((((((aSet0(slbdtsldtrb0(xS,xk))&![X3]:((~(aElementOf0(X3,slbdtsldtrb0(xS,xk)))|(((aSet0(X3)&![X4]:(~(aElementOf0(X4,X3))|aElementOf0(X4,xS)))&aSubsetOf0(X3,xS))&sbrdtbr0(X3)=xk))&((((~(aSet0(X3))|(aElementOf0(esk6_1(X3),X3)&~(aElementOf0(esk6_1(X3),xS))))&~(aSubsetOf0(X3,xS)))|~(sbrdtbr0(X3)=xk))|aElementOf0(X3,slbdtsldtrb0(xS,xk)))))&aSet0(slbdtsldtrb0(xT,xk)))&![X6]:((~(aElementOf0(X6,slbdtsldtrb0(xT,xk)))|(((aSet0(X6)&![X7]:(~(aElementOf0(X7,X6))|aElementOf0(X7,xT)))&aSubsetOf0(X6,xT))&sbrdtbr0(X6)=xk))&((((~(aSet0(X6))|(aElementOf0(esk7_1(X6),X6)&~(aElementOf0(esk7_1(X6),xT))))&~(aSubsetOf0(X6,xT)))|~(sbrdtbr0(X6)=xk))|aElementOf0(X6,slbdtsldtrb0(xT,xk)))))&![X9]:(~(aElementOf0(X9,slbdtsldtrb0(xS,xk)))|aElementOf0(X9,slbdtsldtrb0(xT,xk))))&aSubsetOf0(slbdtsldtrb0(xS,xk),slbdtsldtrb0(xT,xk)))&(![X10]:((~(aElementOf0(X10,slbdtsldtrb0(xS,xk)))|(((aSet0(X10)&![X11]:(~(aElementOf0(X11,X10))|aElementOf0(X11,xS)))&aSubsetOf0(X10,xS))&sbrdtbr0(X10)=xk))&((((~(aSet0(X10))|(aElementOf0(esk8_1(X10),X10)&~(aElementOf0(esk8_1(X10),xS))))&~(aSubsetOf0(X10,xS)))|~(sbrdtbr0(X10)=xk))|aElementOf0(X10,slbdtsldtrb0(xS,xk))))&(aElementOf0(esk9_0,slbdtsldtrb0(xS,xk))&~(slbdtsldtrb0(xS,xk)=slcrc0)))),inference(skolemize,[status(esa)],[203])).
% fof(205, plain,![X3]:![X4]:![X6]:![X7]:![X9]:![X10]:![X11]:((((((((~(aElementOf0(X11,X10))|aElementOf0(X11,xS))&aSet0(X10))&aSubsetOf0(X10,xS))&sbrdtbr0(X10)=xk)|~(aElementOf0(X10,slbdtsldtrb0(xS,xk))))&((((~(aSet0(X10))|(aElementOf0(esk8_1(X10),X10)&~(aElementOf0(esk8_1(X10),xS))))&~(aSubsetOf0(X10,xS)))|~(sbrdtbr0(X10)=xk))|aElementOf0(X10,slbdtsldtrb0(xS,xk))))&(aElementOf0(esk9_0,slbdtsldtrb0(xS,xk))&~(slbdtsldtrb0(xS,xk)=slcrc0)))&(((~(aElementOf0(X9,slbdtsldtrb0(xS,xk)))|aElementOf0(X9,slbdtsldtrb0(xT,xk)))&(((((((~(aElementOf0(X7,X6))|aElementOf0(X7,xT))&aSet0(X6))&aSubsetOf0(X6,xT))&sbrdtbr0(X6)=xk)|~(aElementOf0(X6,slbdtsldtrb0(xT,xk))))&((((~(aSet0(X6))|(aElementOf0(esk7_1(X6),X6)&~(aElementOf0(esk7_1(X6),xT))))&~(aSubsetOf0(X6,xT)))|~(sbrdtbr0(X6)=xk))|aElementOf0(X6,slbdtsldtrb0(xT,xk))))&((((((((~(aElementOf0(X4,X3))|aElementOf0(X4,xS))&aSet0(X3))&aSubsetOf0(X3,xS))&sbrdtbr0(X3)=xk)|~(aElementOf0(X3,slbdtsldtrb0(xS,xk))))&((((~(aSet0(X3))|(aElementOf0(esk6_1(X3),X3)&~(aElementOf0(esk6_1(X3),xS))))&~(aSubsetOf0(X3,xS)))|~(sbrdtbr0(X3)=xk))|aElementOf0(X3,slbdtsldtrb0(xS,xk))))&aSet0(slbdtsldtrb0(xS,xk)))&aSet0(slbdtsldtrb0(xT,xk)))))&aSubsetOf0(slbdtsldtrb0(xS,xk),slbdtsldtrb0(xT,xk)))),inference(shift_quantors,[status(thm)],[204])).
% fof(206, plain,![X3]:![X4]:![X6]:![X7]:![X9]:![X10]:![X11]:((((((((~(aElementOf0(X11,X10))|aElementOf0(X11,xS))|~(aElementOf0(X10,slbdtsldtrb0(xS,xk))))&(aSet0(X10)|~(aElementOf0(X10,slbdtsldtrb0(xS,xk)))))&(aSubsetOf0(X10,xS)|~(aElementOf0(X10,slbdtsldtrb0(xS,xk)))))&(sbrdtbr0(X10)=xk|~(aElementOf0(X10,slbdtsldtrb0(xS,xk)))))&(((((aElementOf0(esk8_1(X10),X10)|~(aSet0(X10)))|~(sbrdtbr0(X10)=xk))|aElementOf0(X10,slbdtsldtrb0(xS,xk)))&(((~(aElementOf0(esk8_1(X10),xS))|~(aSet0(X10)))|~(sbrdtbr0(X10)=xk))|aElementOf0(X10,slbdtsldtrb0(xS,xk))))&((~(aSubsetOf0(X10,xS))|~(sbrdtbr0(X10)=xk))|aElementOf0(X10,slbdtsldtrb0(xS,xk)))))&(aElementOf0(esk9_0,slbdtsldtrb0(xS,xk))&~(slbdtsldtrb0(xS,xk)=slcrc0)))&(((~(aElementOf0(X9,slbdtsldtrb0(xS,xk)))|aElementOf0(X9,slbdtsldtrb0(xT,xk)))&(((((((~(aElementOf0(X7,X6))|aElementOf0(X7,xT))|~(aElementOf0(X6,slbdtsldtrb0(xT,xk))))&(aSet0(X6)|~(aElementOf0(X6,slbdtsldtrb0(xT,xk)))))&(aSubsetOf0(X6,xT)|~(aElementOf0(X6,slbdtsldtrb0(xT,xk)))))&(sbrdtbr0(X6)=xk|~(aElementOf0(X6,slbdtsldtrb0(xT,xk)))))&(((((aElementOf0(esk7_1(X6),X6)|~(aSet0(X6)))|~(sbrdtbr0(X6)=xk))|aElementOf0(X6,slbdtsldtrb0(xT,xk)))&(((~(aElementOf0(esk7_1(X6),xT))|~(aSet0(X6)))|~(sbrdtbr0(X6)=xk))|aElementOf0(X6,slbdtsldtrb0(xT,xk))))&((~(aSubsetOf0(X6,xT))|~(sbrdtbr0(X6)=xk))|aElementOf0(X6,slbdtsldtrb0(xT,xk)))))&((((((((~(aElementOf0(X4,X3))|aElementOf0(X4,xS))|~(aElementOf0(X3,slbdtsldtrb0(xS,xk))))&(aSet0(X3)|~(aElementOf0(X3,slbdtsldtrb0(xS,xk)))))&(aSubsetOf0(X3,xS)|~(aElementOf0(X3,slbdtsldtrb0(xS,xk)))))&(sbrdtbr0(X3)=xk|~(aElementOf0(X3,slbdtsldtrb0(xS,xk)))))&(((((aElementOf0(esk6_1(X3),X3)|~(aSet0(X3)))|~(sbrdtbr0(X3)=xk))|aElementOf0(X3,slbdtsldtrb0(xS,xk)))&(((~(aElementOf0(esk6_1(X3),xS))|~(aSet0(X3)))|~(sbrdtbr0(X3)=xk))|aElementOf0(X3,slbdtsldtrb0(xS,xk))))&((~(aSubsetOf0(X3,xS))|~(sbrdtbr0(X3)=xk))|aElementOf0(X3,slbdtsldtrb0(xS,xk)))))&aSet0(slbdtsldtrb0(xS,xk)))&aSet0(slbdtsldtrb0(xT,xk)))))&aSubsetOf0(slbdtsldtrb0(xS,xk),slbdtsldtrb0(xT,xk)))),inference(distribute,[status(thm)],[205])).
% cnf(210,plain,(aElementOf0(X1,slbdtsldtrb0(xS,xk))|sbrdtbr0(X1)!=xk|~aSubsetOf0(X1,xS)),inference(split_conjunct,[status(thm)],[206])).
% cnf(216,plain,(aElementOf0(X2,xS)|~aElementOf0(X1,slbdtsldtrb0(xS,xk))|~aElementOf0(X2,X1)),inference(split_conjunct,[status(thm)],[206])).
% cnf(228,plain,(aElementOf0(X1,slbdtsldtrb0(xS,xk))|sbrdtbr0(X1)!=xk|~aSet0(X1)|~aElementOf0(esk8_1(X1),xS)),inference(split_conjunct,[status(thm)],[206])).
% cnf(229,plain,(aElementOf0(X1,slbdtsldtrb0(xS,xk))|aElementOf0(esk8_1(X1),X1)|sbrdtbr0(X1)!=xk|~aSet0(X1)),inference(split_conjunct,[status(thm)],[206])).
% cnf(234,plain,(aElementOf0(xx,xS)),inference(split_conjunct,[status(thm)],[25])).
% fof(235, plain,((((aSet0(xQ)&![X1]:(~(aElementOf0(X1,xQ))|aElementOf0(X1,xS)))&aSubsetOf0(xQ,xS))&sbrdtbr0(xQ)=xk)&aElementOf0(xQ,slbdtsldtrb0(xS,xk))),inference(fof_nnf,[status(thm)],[26])).
% fof(236, plain,((((aSet0(xQ)&![X2]:(~(aElementOf0(X2,xQ))|aElementOf0(X2,xS)))&aSubsetOf0(xQ,xS))&sbrdtbr0(xQ)=xk)&aElementOf0(xQ,slbdtsldtrb0(xS,xk))),inference(variable_rename,[status(thm)],[235])).
% fof(237, plain,![X2]:(((((~(aElementOf0(X2,xQ))|aElementOf0(X2,xS))&aSet0(xQ))&aSubsetOf0(xQ,xS))&sbrdtbr0(xQ)=xk)&aElementOf0(xQ,slbdtsldtrb0(xS,xk))),inference(shift_quantors,[status(thm)],[236])).
% cnf(239,plain,(sbrdtbr0(xQ)=xk),inference(split_conjunct,[status(thm)],[237])).
% cnf(240,plain,(aSubsetOf0(xQ,xS)),inference(split_conjunct,[status(thm)],[237])).
% cnf(241,plain,(aSet0(xQ)),inference(split_conjunct,[status(thm)],[237])).
% cnf(244,plain,(isFinite0(xQ)),inference(split_conjunct,[status(thm)],[27])).
% cnf(246,plain,(aElementOf0(xy,xQ)),inference(split_conjunct,[status(thm)],[28])).
% cnf(247,plain,(aElement0(xy)),inference(split_conjunct,[status(thm)],[28])).
% cnf(248,plain,(~aElementOf0(xx,xQ)),inference(split_conjunct,[status(thm)],[75])).
% fof(250, plain,((((aSet0(sdtmndt0(xQ,xy))&![X1]:((~(aElementOf0(X1,sdtmndt0(xQ,xy)))|((aElement0(X1)&aElementOf0(X1,xQ))&~(X1=xy)))&(((~(aElement0(X1))|~(aElementOf0(X1,xQ)))|X1=xy)|aElementOf0(X1,sdtmndt0(xQ,xy)))))&aSet0(xP))&![X1]:((~(aElementOf0(X1,xP))|(aElement0(X1)&(aElementOf0(X1,sdtmndt0(xQ,xy))|X1=xx)))&((~(aElement0(X1))|(~(aElementOf0(X1,sdtmndt0(xQ,xy)))&~(X1=xx)))|aElementOf0(X1,xP))))&xP=sdtpldt0(sdtmndt0(xQ,xy),xx)),inference(fof_nnf,[status(thm)],[31])).
% fof(251, plain,((((aSet0(sdtmndt0(xQ,xy))&![X2]:((~(aElementOf0(X2,sdtmndt0(xQ,xy)))|((aElement0(X2)&aElementOf0(X2,xQ))&~(X2=xy)))&(((~(aElement0(X2))|~(aElementOf0(X2,xQ)))|X2=xy)|aElementOf0(X2,sdtmndt0(xQ,xy)))))&aSet0(xP))&![X3]:((~(aElementOf0(X3,xP))|(aElement0(X3)&(aElementOf0(X3,sdtmndt0(xQ,xy))|X3=xx)))&((~(aElement0(X3))|(~(aElementOf0(X3,sdtmndt0(xQ,xy)))&~(X3=xx)))|aElementOf0(X3,xP))))&xP=sdtpldt0(sdtmndt0(xQ,xy),xx)),inference(variable_rename,[status(thm)],[250])).
% fof(252, plain,![X2]:![X3]:((((~(aElementOf0(X3,xP))|(aElement0(X3)&(aElementOf0(X3,sdtmndt0(xQ,xy))|X3=xx)))&((~(aElement0(X3))|(~(aElementOf0(X3,sdtmndt0(xQ,xy)))&~(X3=xx)))|aElementOf0(X3,xP)))&((((~(aElementOf0(X2,sdtmndt0(xQ,xy)))|((aElement0(X2)&aElementOf0(X2,xQ))&~(X2=xy)))&(((~(aElement0(X2))|~(aElementOf0(X2,xQ)))|X2=xy)|aElementOf0(X2,sdtmndt0(xQ,xy))))&aSet0(sdtmndt0(xQ,xy)))&aSet0(xP)))&xP=sdtpldt0(sdtmndt0(xQ,xy),xx)),inference(shift_quantors,[status(thm)],[251])).
% fof(253, plain,![X2]:![X3]:(((((aElement0(X3)|~(aElementOf0(X3,xP)))&((aElementOf0(X3,sdtmndt0(xQ,xy))|X3=xx)|~(aElementOf0(X3,xP))))&(((~(aElementOf0(X3,sdtmndt0(xQ,xy)))|~(aElement0(X3)))|aElementOf0(X3,xP))&((~(X3=xx)|~(aElement0(X3)))|aElementOf0(X3,xP))))&((((((aElement0(X2)|~(aElementOf0(X2,sdtmndt0(xQ,xy))))&(aElementOf0(X2,xQ)|~(aElementOf0(X2,sdtmndt0(xQ,xy)))))&(~(X2=xy)|~(aElementOf0(X2,sdtmndt0(xQ,xy)))))&(((~(aElement0(X2))|~(aElementOf0(X2,xQ)))|X2=xy)|aElementOf0(X2,sdtmndt0(xQ,xy))))&aSet0(sdtmndt0(xQ,xy)))&aSet0(xP)))&xP=sdtpldt0(sdtmndt0(xQ,xy),xx)),inference(distribute,[status(thm)],[252])).
% cnf(254,plain,(xP=sdtpldt0(sdtmndt0(xQ,xy),xx)),inference(split_conjunct,[status(thm)],[253])).
% cnf(255,plain,(aSet0(xP)),inference(split_conjunct,[status(thm)],[253])).
% cnf(256,plain,(aSet0(sdtmndt0(xQ,xy))),inference(split_conjunct,[status(thm)],[253])).
% cnf(259,plain,(aElementOf0(X1,xQ)|~aElementOf0(X1,sdtmndt0(xQ,xy))),inference(split_conjunct,[status(thm)],[253])).
% cnf(260,plain,(aElement0(X1)|~aElementOf0(X1,sdtmndt0(xQ,xy))),inference(split_conjunct,[status(thm)],[253])).
% cnf(261,plain,(aElementOf0(X1,xP)|~aElement0(X1)|X1!=xx),inference(split_conjunct,[status(thm)],[253])).
% cnf(262,plain,(aElementOf0(X1,xP)|~aElement0(X1)|~aElementOf0(X1,sdtmndt0(xQ,xy))),inference(split_conjunct,[status(thm)],[253])).
% cnf(263,plain,(X1=xx|aElementOf0(X1,sdtmndt0(xQ,xy))|~aElementOf0(X1,xP)),inference(split_conjunct,[status(thm)],[253])).
% fof(275, plain,![X1]:(~(aSet0(X1))|![X2]:((~(isFinite0(X1))|~(aElementOf0(X2,X1)))|szszuzczcdt0(sbrdtbr0(sdtmndt0(X1,X2)))=sbrdtbr0(X1))),inference(fof_nnf,[status(thm)],[34])).
% fof(276, plain,![X3]:(~(aSet0(X3))|![X4]:((~(isFinite0(X3))|~(aElementOf0(X4,X3)))|szszuzczcdt0(sbrdtbr0(sdtmndt0(X3,X4)))=sbrdtbr0(X3))),inference(variable_rename,[status(thm)],[275])).
% fof(277, plain,![X3]:![X4]:(((~(isFinite0(X3))|~(aElementOf0(X4,X3)))|szszuzczcdt0(sbrdtbr0(sdtmndt0(X3,X4)))=sbrdtbr0(X3))|~(aSet0(X3))),inference(shift_quantors,[status(thm)],[276])).
% cnf(278,plain,(szszuzczcdt0(sbrdtbr0(sdtmndt0(X1,X2)))=sbrdtbr0(X1)|~aSet0(X1)|~aElementOf0(X2,X1)|~isFinite0(X1)),inference(split_conjunct,[status(thm)],[277])).
% fof(418, negated_conjecture,(((?[X1]:(aElementOf0(X1,xP)&~(aElementOf0(X1,xS)))&~(aSubsetOf0(xP,xS)))|~(sbrdtbr0(xP)=xk))&~(aElementOf0(xP,slbdtsldtrb0(xS,xk)))),inference(fof_nnf,[status(thm)],[72])).
% fof(419, negated_conjecture,(((?[X2]:(aElementOf0(X2,xP)&~(aElementOf0(X2,xS)))&~(aSubsetOf0(xP,xS)))|~(sbrdtbr0(xP)=xk))&~(aElementOf0(xP,slbdtsldtrb0(xS,xk)))),inference(variable_rename,[status(thm)],[418])).
% fof(420, negated_conjecture,((((aElementOf0(esk16_0,xP)&~(aElementOf0(esk16_0,xS)))&~(aSubsetOf0(xP,xS)))|~(sbrdtbr0(xP)=xk))&~(aElementOf0(xP,slbdtsldtrb0(xS,xk)))),inference(skolemize,[status(esa)],[419])).
% fof(421, negated_conjecture,((((aElementOf0(esk16_0,xP)|~(sbrdtbr0(xP)=xk))&(~(aElementOf0(esk16_0,xS))|~(sbrdtbr0(xP)=xk)))&(~(aSubsetOf0(xP,xS))|~(sbrdtbr0(xP)=xk)))&~(aElementOf0(xP,slbdtsldtrb0(xS,xk)))),inference(distribute,[status(thm)],[420])).
% cnf(422,negated_conjecture,(~aElementOf0(xP,slbdtsldtrb0(xS,xk))),inference(split_conjunct,[status(thm)],[421])).
% cnf(430,plain,(aElementOf0(X1,xP)|~aElementOf0(X1,sdtmndt0(xQ,xy))),inference(csr,[status(thm)],[262,260])).
% cnf(431,plain,(X1=X2|~aSubsetOf0(X2,X1)|~aSubsetOf0(X1,X2)|~aSet0(X2)),inference(csr,[status(thm)],[117,106])).
% cnf(433,plain,(aElementOf0(X1,X2)|sdtpldt0(X3,X1)!=X2|~aElement0(X1)|~aSet0(X3)),inference(er,[status(thm)],[131,theory(equality)])).
% cnf(517,plain,(aElement0(xx)|~aSet0(xS)),inference(spm,[status(thm)],[89,234,theory(equality)])).
% cnf(528,plain,(aElement0(xx)|$false),inference(rw,[status(thm)],[517,201,theory(equality)])).
% cnf(529,plain,(aElement0(xx)),inference(cn,[status(thm)],[528,theory(equality)])).
% cnf(618,plain,(aElementOf0(X1,xS)|~aElementOf0(X1,X2)|sbrdtbr0(X2)!=xk|~aSubsetOf0(X2,xS)),inference(spm,[status(thm)],[216,210,theory(equality)])).
% cnf(693,plain,(isFinite0(xP)|~isFinite0(sdtmndt0(xQ,xy))|~aElement0(xx)|~aSet0(sdtmndt0(xQ,xy))),inference(spm,[status(thm)],[159,254,theory(equality)])).
% cnf(695,plain,(isFinite0(xP)|~isFinite0(sdtmndt0(xQ,xy))|~aElement0(xx)|$false),inference(rw,[status(thm)],[693,256,theory(equality)])).
% cnf(696,plain,(isFinite0(xP)|~isFinite0(sdtmndt0(xQ,xy))|~aElement0(xx)),inference(cn,[status(thm)],[695,theory(equality)])).
% cnf(717,plain,(aElementOf0(X1,xQ)|xx=X1|~aElementOf0(X1,xP)),inference(spm,[status(thm)],[259,263,theory(equality)])).
% cnf(781,plain,(aElementOf0(xx,X1)|xP!=X1|~aElement0(xx)|~aSet0(sdtmndt0(xQ,xy))),inference(spm,[status(thm)],[433,254,theory(equality)])).
% cnf(783,plain,(aElementOf0(xx,X1)|xP!=X1|~aElement0(xx)|$false),inference(rw,[status(thm)],[781,256,theory(equality)])).
% cnf(784,plain,(aElementOf0(xx,X1)|xP!=X1|~aElement0(xx)),inference(cn,[status(thm)],[783,theory(equality)])).
% cnf(853,plain,(aElementOf0(esk2_2(X1,sdtmndt0(xQ,xy)),xP)|aSubsetOf0(sdtmndt0(xQ,xy),X1)|~aSet0(sdtmndt0(xQ,xy))|~aSet0(X1)),inference(spm,[status(thm)],[430,105,theory(equality)])).
% cnf(880,plain,(aElementOf0(esk2_2(X1,sdtmndt0(xQ,xy)),xP)|aSubsetOf0(sdtmndt0(xQ,xy),X1)|$false|~aSet0(X1)),inference(rw,[status(thm)],[853,256,theory(equality)])).
% cnf(881,plain,(aElementOf0(esk2_2(X1,sdtmndt0(xQ,xy)),xP)|aSubsetOf0(sdtmndt0(xQ,xy),X1)|~aSet0(X1)),inference(cn,[status(thm)],[880,theory(equality)])).
% cnf(885,plain,(aSubsetOf0(X1,sdtmndt0(xQ,xy))|xx=esk2_2(sdtmndt0(xQ,xy),X1)|~aSet0(X1)|~aSet0(sdtmndt0(xQ,xy))|~aElementOf0(esk2_2(sdtmndt0(xQ,xy),X1),xP)),inference(spm,[status(thm)],[104,263,theory(equality)])).
% cnf(893,plain,(aSubsetOf0(X1,sdtmndt0(xQ,xy))|xx=esk2_2(sdtmndt0(xQ,xy),X1)|~aSet0(X1)|$false|~aElementOf0(esk2_2(sdtmndt0(xQ,xy),X1),xP)),inference(rw,[status(thm)],[885,256,theory(equality)])).
% cnf(894,plain,(aSubsetOf0(X1,sdtmndt0(xQ,xy))|xx=esk2_2(sdtmndt0(xQ,xy),X1)|~aSet0(X1)|~aElementOf0(esk2_2(sdtmndt0(xQ,xy),X1),xP)),inference(cn,[status(thm)],[893,theory(equality)])).
% cnf(923,plain,(sdtmndt0(xP,xx)=sdtmndt0(xQ,xy)|aElementOf0(xx,sdtmndt0(xQ,xy))|~aElement0(xx)|~aSet0(sdtmndt0(xQ,xy))),inference(spm,[status(thm)],[155,254,theory(equality)])).
% cnf(926,plain,(sdtmndt0(xP,xx)=sdtmndt0(xQ,xy)|aElementOf0(xx,sdtmndt0(xQ,xy))|~aElement0(xx)|$false),inference(rw,[status(thm)],[923,256,theory(equality)])).
% cnf(927,plain,(sdtmndt0(xP,xx)=sdtmndt0(xQ,xy)|aElementOf0(xx,sdtmndt0(xQ,xy))|~aElement0(xx)),inference(cn,[status(thm)],[926,theory(equality)])).
% cnf(1452,plain,(aElementOf0(xx,xP)),inference(spm,[status(thm)],[261,529,theory(equality)])).
% cnf(2254,plain,(xx=esk8_1(xP)|aElementOf0(esk8_1(xP),xQ)|aElementOf0(xP,slbdtsldtrb0(xS,xk))|sbrdtbr0(xP)!=xk|~aSet0(xP)),inference(spm,[status(thm)],[717,229,theory(equality)])).
% cnf(2265,plain,(xx=esk8_1(xP)|aElementOf0(esk8_1(xP),xQ)|aElementOf0(xP,slbdtsldtrb0(xS,xk))|sbrdtbr0(xP)!=xk|$false),inference(rw,[status(thm)],[2254,255,theory(equality)])).
% cnf(2266,plain,(xx=esk8_1(xP)|aElementOf0(esk8_1(xP),xQ)|aElementOf0(xP,slbdtsldtrb0(xS,xk))|sbrdtbr0(xP)!=xk),inference(cn,[status(thm)],[2265,theory(equality)])).
% cnf(2267,plain,(esk8_1(xP)=xx|aElementOf0(esk8_1(xP),xQ)|sbrdtbr0(xP)!=xk),inference(sr,[status(thm)],[2266,422,theory(equality)])).
% cnf(3176,plain,(aElementOf0(xx,X1)|xP!=X1|$false),inference(rw,[status(thm)],[784,529,theory(equality)])).
% cnf(3177,plain,(aElementOf0(xx,X1)|xP!=X1),inference(cn,[status(thm)],[3176,theory(equality)])).
% cnf(3202,plain,(aElementOf0(xx,xQ)|xP!=sdtmndt0(xQ,xy)),inference(spm,[status(thm)],[259,3177,theory(equality)])).
% cnf(3219,plain,(sdtmndt0(xQ,xy)!=xP),inference(sr,[status(thm)],[3202,248,theory(equality)])).
% cnf(3379,plain,(isFinite0(xP)|~isFinite0(sdtmndt0(xQ,xy))|$false),inference(rw,[status(thm)],[696,529,theory(equality)])).
% cnf(3380,plain,(isFinite0(xP)|~isFinite0(sdtmndt0(xQ,xy))),inference(cn,[status(thm)],[3379,theory(equality)])).
% cnf(3384,plain,(isFinite0(xP)|~isFinite0(xQ)|~aElement0(xy)|~aSet0(xQ)),inference(spm,[status(thm)],[3380,163,theory(equality)])).
% cnf(3387,plain,(isFinite0(xP)|$false|~aElement0(xy)|~aSet0(xQ)),inference(rw,[status(thm)],[3384,244,theory(equality)])).
% cnf(3388,plain,(isFinite0(xP)|$false|$false|~aSet0(xQ)),inference(rw,[status(thm)],[3387,247,theory(equality)])).
% cnf(3389,plain,(isFinite0(xP)|$false|$false|$false),inference(rw,[status(thm)],[3388,241,theory(equality)])).
% cnf(3390,plain,(isFinite0(xP)),inference(cn,[status(thm)],[3389,theory(equality)])).
% cnf(4062,plain,(aElementOf0(esk8_1(xP),xS)|esk8_1(xP)=xx|sbrdtbr0(xQ)!=xk|~aSubsetOf0(xQ,xS)|sbrdtbr0(xP)!=xk),inference(spm,[status(thm)],[618,2267,theory(equality)])).
% cnf(4073,plain,(aElementOf0(esk8_1(xP),xS)|esk8_1(xP)=xx|$false|~aSubsetOf0(xQ,xS)|sbrdtbr0(xP)!=xk),inference(rw,[status(thm)],[4062,239,theory(equality)])).
% cnf(4074,plain,(aElementOf0(esk8_1(xP),xS)|esk8_1(xP)=xx|$false|$false|sbrdtbr0(xP)!=xk),inference(rw,[status(thm)],[4073,240,theory(equality)])).
% cnf(4075,plain,(aElementOf0(esk8_1(xP),xS)|esk8_1(xP)=xx|sbrdtbr0(xP)!=xk),inference(cn,[status(thm)],[4074,theory(equality)])).
% cnf(4097,plain,(aElementOf0(xP,slbdtsldtrb0(xS,xk))|esk8_1(xP)=xx|sbrdtbr0(xP)!=xk|~aSet0(xP)),inference(spm,[status(thm)],[228,4075,theory(equality)])).
% cnf(4102,plain,(aElementOf0(xP,slbdtsldtrb0(xS,xk))|esk8_1(xP)=xx|sbrdtbr0(xP)!=xk|$false),inference(rw,[status(thm)],[4097,255,theory(equality)])).
% cnf(4103,plain,(aElementOf0(xP,slbdtsldtrb0(xS,xk))|esk8_1(xP)=xx|sbrdtbr0(xP)!=xk),inference(cn,[status(thm)],[4102,theory(equality)])).
% cnf(4104,plain,(esk8_1(xP)=xx|sbrdtbr0(xP)!=xk),inference(sr,[status(thm)],[4103,422,theory(equality)])).
% cnf(4106,plain,(aElementOf0(xP,slbdtsldtrb0(xS,xk))|sbrdtbr0(xP)!=xk|~aElementOf0(xx,xS)|~aSet0(xP)),inference(spm,[status(thm)],[228,4104,theory(equality)])).
% cnf(4110,plain,(aElementOf0(xP,slbdtsldtrb0(xS,xk))|sbrdtbr0(xP)!=xk|$false|~aSet0(xP)),inference(rw,[status(thm)],[4106,234,theory(equality)])).
% cnf(4111,plain,(aElementOf0(xP,slbdtsldtrb0(xS,xk))|sbrdtbr0(xP)!=xk|$false|$false),inference(rw,[status(thm)],[4110,255,theory(equality)])).
% cnf(4112,plain,(aElementOf0(xP,slbdtsldtrb0(xS,xk))|sbrdtbr0(xP)!=xk),inference(cn,[status(thm)],[4111,theory(equality)])).
% cnf(4113,plain,(sbrdtbr0(xP)!=xk),inference(sr,[status(thm)],[4112,422,theory(equality)])).
% cnf(6219,plain,(aSubsetOf0(sdtmndt0(xQ,xy),xP)|~aSet0(sdtmndt0(xQ,xy))|~aSet0(xP)),inference(spm,[status(thm)],[104,881,theory(equality)])).
% cnf(6230,plain,(aSubsetOf0(sdtmndt0(xQ,xy),xP)|$false|~aSet0(xP)),inference(rw,[status(thm)],[6219,256,theory(equality)])).
% cnf(6231,plain,(aSubsetOf0(sdtmndt0(xQ,xy),xP)|$false|$false),inference(rw,[status(thm)],[6230,255,theory(equality)])).
% cnf(6232,plain,(aSubsetOf0(sdtmndt0(xQ,xy),xP)),inference(cn,[status(thm)],[6231,theory(equality)])).
% cnf(6233,plain,(xP=sdtmndt0(xQ,xy)|~aSubsetOf0(xP,sdtmndt0(xQ,xy))|~aSet0(sdtmndt0(xQ,xy))),inference(spm,[status(thm)],[431,6232,theory(equality)])).
% cnf(6242,plain,(xP=sdtmndt0(xQ,xy)|~aSubsetOf0(xP,sdtmndt0(xQ,xy))|$false),inference(rw,[status(thm)],[6233,256,theory(equality)])).
% cnf(6243,plain,(xP=sdtmndt0(xQ,xy)|~aSubsetOf0(xP,sdtmndt0(xQ,xy))),inference(cn,[status(thm)],[6242,theory(equality)])).
% cnf(6244,plain,(~aSubsetOf0(xP,sdtmndt0(xQ,xy))),inference(sr,[status(thm)],[6243,3219,theory(equality)])).
% cnf(6470,plain,(esk2_2(sdtmndt0(xQ,xy),xP)=xx|aSubsetOf0(xP,sdtmndt0(xQ,xy))|~aSet0(xP)|~aSet0(sdtmndt0(xQ,xy))),inference(spm,[status(thm)],[894,105,theory(equality)])).
% cnf(6472,plain,(esk2_2(sdtmndt0(xQ,xy),xP)=xx|aSubsetOf0(xP,sdtmndt0(xQ,xy))|$false|~aSet0(sdtmndt0(xQ,xy))),inference(rw,[status(thm)],[6470,255,theory(equality)])).
% cnf(6473,plain,(esk2_2(sdtmndt0(xQ,xy),xP)=xx|aSubsetOf0(xP,sdtmndt0(xQ,xy))|$false|$false),inference(rw,[status(thm)],[6472,256,theory(equality)])).
% cnf(6474,plain,(esk2_2(sdtmndt0(xQ,xy),xP)=xx|aSubsetOf0(xP,sdtmndt0(xQ,xy))),inference(cn,[status(thm)],[6473,theory(equality)])).
% cnf(6475,plain,(esk2_2(sdtmndt0(xQ,xy),xP)=xx),inference(sr,[status(thm)],[6474,6244,theory(equality)])).
% cnf(6488,plain,(aSubsetOf0(xP,sdtmndt0(xQ,xy))|~aElementOf0(xx,sdtmndt0(xQ,xy))|~aSet0(xP)|~aSet0(sdtmndt0(xQ,xy))),inference(spm,[status(thm)],[104,6475,theory(equality)])).
% cnf(6494,plain,(aSubsetOf0(xP,sdtmndt0(xQ,xy))|~aElementOf0(xx,sdtmndt0(xQ,xy))|$false|~aSet0(sdtmndt0(xQ,xy))),inference(rw,[status(thm)],[6488,255,theory(equality)])).
% cnf(6495,plain,(aSubsetOf0(xP,sdtmndt0(xQ,xy))|~aElementOf0(xx,sdtmndt0(xQ,xy))|$false|$false),inference(rw,[status(thm)],[6494,256,theory(equality)])).
% cnf(6496,plain,(aSubsetOf0(xP,sdtmndt0(xQ,xy))|~aElementOf0(xx,sdtmndt0(xQ,xy))),inference(cn,[status(thm)],[6495,theory(equality)])).
% cnf(6497,plain,(~aElementOf0(xx,sdtmndt0(xQ,xy))),inference(sr,[status(thm)],[6496,6244,theory(equality)])).
% cnf(7596,plain,(sdtmndt0(xP,xx)=sdtmndt0(xQ,xy)|aElementOf0(xx,sdtmndt0(xQ,xy))|$false),inference(rw,[status(thm)],[927,529,theory(equality)])).
% cnf(7597,plain,(sdtmndt0(xP,xx)=sdtmndt0(xQ,xy)|aElementOf0(xx,sdtmndt0(xQ,xy))),inference(cn,[status(thm)],[7596,theory(equality)])).
% cnf(7598,plain,(sdtmndt0(xP,xx)=sdtmndt0(xQ,xy)),inference(sr,[status(thm)],[7597,6497,theory(equality)])).
% cnf(7604,plain,(szszuzczcdt0(sbrdtbr0(sdtmndt0(xQ,xy)))=sbrdtbr0(xP)|~isFinite0(xP)|~aElementOf0(xx,xP)|~aSet0(xP)),inference(spm,[status(thm)],[278,7598,theory(equality)])).
% cnf(7642,plain,(szszuzczcdt0(sbrdtbr0(sdtmndt0(xQ,xy)))=sbrdtbr0(xP)|$false|~aElementOf0(xx,xP)|~aSet0(xP)),inference(rw,[status(thm)],[7604,3390,theory(equality)])).
% cnf(7643,plain,(szszuzczcdt0(sbrdtbr0(sdtmndt0(xQ,xy)))=sbrdtbr0(xP)|$false|$false|~aSet0(xP)),inference(rw,[status(thm)],[7642,1452,theory(equality)])).
% cnf(7644,plain,(szszuzczcdt0(sbrdtbr0(sdtmndt0(xQ,xy)))=sbrdtbr0(xP)|$false|$false|$false),inference(rw,[status(thm)],[7643,255,theory(equality)])).
% cnf(7645,plain,(szszuzczcdt0(sbrdtbr0(sdtmndt0(xQ,xy)))=sbrdtbr0(xP)),inference(cn,[status(thm)],[7644,theory(equality)])).
% cnf(7762,plain,(sbrdtbr0(xP)=sbrdtbr0(xQ)|~isFinite0(xQ)|~aElementOf0(xy,xQ)|~aSet0(xQ)),inference(spm,[status(thm)],[278,7645,theory(equality)])).
% cnf(7810,plain,(sbrdtbr0(xP)=xk|~isFinite0(xQ)|~aElementOf0(xy,xQ)|~aSet0(xQ)),inference(rw,[status(thm)],[7762,239,theory(equality)])).
% cnf(7811,plain,(sbrdtbr0(xP)=xk|$false|~aElementOf0(xy,xQ)|~aSet0(xQ)),inference(rw,[status(thm)],[7810,244,theory(equality)])).
% cnf(7812,plain,(sbrdtbr0(xP)=xk|$false|$false|~aSet0(xQ)),inference(rw,[status(thm)],[7811,246,theory(equality)])).
% cnf(7813,plain,(sbrdtbr0(xP)=xk|$false|$false|$false),inference(rw,[status(thm)],[7812,241,theory(equality)])).
% cnf(7814,plain,(sbrdtbr0(xP)=xk),inference(cn,[status(thm)],[7813,theory(equality)])).
% cnf(7815,plain,($false),inference(sr,[status(thm)],[7814,4113,theory(equality)])).
% cnf(7816,plain,($false),7815,['proof']).
% # SZS output end CNFRefutation
% # Processed clauses : 1546
% # ...of these trivial : 35
% # ...subsumed : 697
% # ...remaining for further processing: 814
% # Other redundant clauses eliminated : 14
% # Clauses deleted for lack of memory : 0
% # Backward-subsumed : 32
% # Backward-rewritten : 10
% # Generated clauses : 3859
% # ...of the previous two non-trivial : 3440
% # Contextual simplify-reflections : 383
% # Paramodulations : 3823
% # Factorizations : 0
% # Equation resolutions : 36
% # Current number of processed clauses: 614
% # Positive orientable unit clauses: 76
% # Positive unorientable unit clauses: 0
% # Negative unit clauses : 37
% # Non-unit-clauses : 501
% # Current number of unprocessed clauses: 2064
% # ...number of literals in the above : 10007
% # Clause-clause subsumption calls (NU) : 12329
% # Rec. Clause-clause subsumption calls : 6200
% # Unit Clause-clause subsumption calls : 1179
% # Rewrite failures with RHS unbound : 0
% # Indexed BW rewrite attempts : 15
% # Indexed BW rewrite successes : 7
% # Backwards rewriting index: 487 leaves, 1.21+/-0.620 terms/leaf
% # Paramod-from index: 238 leaves, 1.10+/-0.295 terms/leaf
% # Paramod-into index: 402 leaves, 1.18+/-0.537 terms/leaf
% # -------------------------------------------------
% # User time : 0.290 s
% # System time : 0.011 s
% # Total time : 0.301 s
% # Maximum resident set size: 0 pages
% PrfWatch: 0.50 CPU 0.59 WC
% FINAL PrfWatch: 0.50 CPU 0.59 WC
% SZS output end Solution for /tmp/SystemOnTPTP14898/NUM554+3.tptp
%
%------------------------------------------------------------------------------