TSTP Solution File: NUM558+3 by SRASS---0.1
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- Process Solution
%------------------------------------------------------------------------------
% File : SRASS---0.1
% Problem : NUM558+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 : art04.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 20:06:08 EST 2010
% Result : Theorem 1.19s
% Output : Solution 1.19s
% 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/SystemOnTPTP26330/NUM558+3.tptp
% Adding relevance values
% Extracting the conjecture
% Sorting axioms by relevance
% Looking for THM ...
% found
% SZS status THM for /tmp/SystemOnTPTP26330/NUM558+3.tptp
% SZS output start Solution for /tmp/SystemOnTPTP26330/NUM558+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 26426
% TreeLimitedRun: ----------------------------------------------------------
% PrfWatch: 0.00 CPU 0.02 WC
% # Preprocessing time : 0.027 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(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(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(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(32, axiom,(((![X1]:(aElementOf0(X1,xP)=>aElementOf0(X1,xS))&aSubsetOf0(xP,xS))&sbrdtbr0(xP)=xk)&aElementOf0(xP,slbdtsldtrb0(xS,xk))),file('/tmp/SRASS.s.p', m__2378)).
% fof(72, conjecture,aElementOf0(xx,xT),file('/tmp/SRASS.s.p', m__)).
% fof(73, negated_conjecture,~(aElementOf0(xx,xT)),inference(assume_negation,[status(cth)],[72])).
% fof(87, negated_conjecture,~(aElementOf0(xx,xT)),inference(fof_simplification,[status(thm)],[73,theory(equality)])).
% fof(88, plain,![X1]:(~(aSet0(X1))|![X2]:(~(aElementOf0(X2,X1))|aElement0(X2))),inference(fof_nnf,[status(thm)],[1])).
% fof(89, plain,![X3]:(~(aSet0(X3))|![X4]:(~(aElementOf0(X4,X3))|aElement0(X4))),inference(variable_rename,[status(thm)],[88])).
% fof(90, plain,![X3]:![X4]:((~(aElementOf0(X4,X3))|aElement0(X4))|~(aSet0(X3))),inference(shift_quantors,[status(thm)],[89])).
% cnf(91,plain,(aElement0(X2)|~aSet0(X1)|~aElementOf0(X2,X1)),inference(split_conjunct,[status(thm)],[90])).
% fof(101, 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(102, 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)],[101])).
% fof(103, 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)],[102])).
% fof(104, 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)],[103])).
% fof(105, 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)],[104])).
% cnf(109,plain,(aElementOf0(X3,X1)|~aSet0(X1)|~aSubsetOf0(X2,X1)|~aElementOf0(X3,X2)),inference(split_conjunct,[status(thm)],[105])).
% fof(123, 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(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))|?[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)],[123])).
% fof(125, 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)],[124])).
% fof(126, 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)],[125])).
% fof(127, 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)],[126])).
% cnf(133,plain,(aElementOf0(X4,X3)|~aElement0(X1)|~aSet0(X2)|X3!=sdtpldt0(X2,X1)|~aElement0(X4)|X4!=X1),inference(split_conjunct,[status(thm)],[127])).
% cnf(202,plain,(aSet0(xT)),inference(split_conjunct,[status(thm)],[23])).
% cnf(203,plain,(aSet0(xS)),inference(split_conjunct,[status(thm)],[23])).
% fof(204, 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(205, 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)],[204])).
% fof(206, 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)],[205])).
% fof(207, 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)],[206])).
% fof(208, 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)],[207])).
% cnf(223,plain,(aSubsetOf0(X1,xT)|~aElementOf0(X1,slbdtsldtrb0(xT,xk))),inference(split_conjunct,[status(thm)],[208])).
% cnf(226,plain,(aElementOf0(X1,slbdtsldtrb0(xT,xk))|~aElementOf0(X1,slbdtsldtrb0(xS,xk))),inference(split_conjunct,[status(thm)],[208])).
% cnf(236,plain,(aElementOf0(xx,xS)),inference(split_conjunct,[status(thm)],[25])).
% fof(252, 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(253, 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)],[252])).
% fof(254, 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)],[253])).
% fof(255, 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)],[254])).
% cnf(256,plain,(xP=sdtpldt0(sdtmndt0(xQ,xy),xx)),inference(split_conjunct,[status(thm)],[255])).
% cnf(258,plain,(aSet0(sdtmndt0(xQ,xy))),inference(split_conjunct,[status(thm)],[255])).
% fof(267, plain,(((![X1]:(~(aElementOf0(X1,xP))|aElementOf0(X1,xS))&aSubsetOf0(xP,xS))&sbrdtbr0(xP)=xk)&aElementOf0(xP,slbdtsldtrb0(xS,xk))),inference(fof_nnf,[status(thm)],[32])).
% fof(268, plain,(((![X2]:(~(aElementOf0(X2,xP))|aElementOf0(X2,xS))&aSubsetOf0(xP,xS))&sbrdtbr0(xP)=xk)&aElementOf0(xP,slbdtsldtrb0(xS,xk))),inference(variable_rename,[status(thm)],[267])).
% fof(269, plain,![X2]:((((~(aElementOf0(X2,xP))|aElementOf0(X2,xS))&aSubsetOf0(xP,xS))&sbrdtbr0(xP)=xk)&aElementOf0(xP,slbdtsldtrb0(xS,xk))),inference(shift_quantors,[status(thm)],[268])).
% cnf(270,plain,(aElementOf0(xP,slbdtsldtrb0(xS,xk))),inference(split_conjunct,[status(thm)],[269])).
% cnf(427,negated_conjecture,(~aElementOf0(xx,xT)),inference(split_conjunct,[status(thm)],[87])).
% cnf(435,plain,(aElementOf0(X1,X2)|sdtpldt0(X3,X1)!=X2|~aElement0(X1)|~aSet0(X3)),inference(er,[status(thm)],[133,theory(equality)])).
% cnf(550,plain,(aElement0(xx)|~aSet0(xS)),inference(spm,[status(thm)],[91,236,theory(equality)])).
% cnf(565,plain,(aElement0(xx)|$false),inference(rw,[status(thm)],[550,203,theory(equality)])).
% cnf(566,plain,(aElement0(xx)),inference(cn,[status(thm)],[565,theory(equality)])).
% cnf(654,plain,(aElementOf0(xx,X1)|xP!=X1|~aElement0(xx)|~aSet0(sdtmndt0(xQ,xy))),inference(spm,[status(thm)],[435,256,theory(equality)])).
% cnf(656,plain,(aElementOf0(xx,X1)|xP!=X1|~aElement0(xx)|$false),inference(rw,[status(thm)],[654,258,theory(equality)])).
% cnf(657,plain,(aElementOf0(xx,X1)|xP!=X1|~aElement0(xx)),inference(cn,[status(thm)],[656,theory(equality)])).
% cnf(664,plain,(aSubsetOf0(X1,xT)|~aElementOf0(X1,slbdtsldtrb0(xS,xk))),inference(spm,[status(thm)],[223,226,theory(equality)])).
% cnf(2076,plain,(aElementOf0(xx,X1)|xP!=X1|$false),inference(rw,[status(thm)],[657,566,theory(equality)])).
% cnf(2077,plain,(aElementOf0(xx,X1)|xP!=X1),inference(cn,[status(thm)],[2076,theory(equality)])).
% cnf(2829,plain,(aSubsetOf0(xP,xT)),inference(spm,[status(thm)],[664,270,theory(equality)])).
% cnf(2868,plain,(aElementOf0(X1,xT)|~aElementOf0(X1,xP)|~aSet0(xT)),inference(spm,[status(thm)],[109,2829,theory(equality)])).
% cnf(2880,plain,(aElementOf0(X1,xT)|~aElementOf0(X1,xP)|$false),inference(rw,[status(thm)],[2868,202,theory(equality)])).
% cnf(2881,plain,(aElementOf0(X1,xT)|~aElementOf0(X1,xP)),inference(cn,[status(thm)],[2880,theory(equality)])).
% cnf(2982,plain,(aElementOf0(xx,xT)),inference(spm,[status(thm)],[2881,2077,theory(equality)])).
% cnf(3008,plain,($false),inference(sr,[status(thm)],[2982,427,theory(equality)])).
% cnf(3009,plain,($false),3008,['proof']).
% # SZS output end CNFRefutation
% # Processed clauses : 653
% # ...of these trivial : 6
% # ...subsumed : 133
% # ...remaining for further processing: 514
% # Other redundant clauses eliminated : 13
% # Clauses deleted for lack of memory : 0
% # Backward-subsumed : 3
% # Backward-rewritten : 3
% # Generated clauses : 1410
% # ...of the previous two non-trivial : 1201
% # Contextual simplify-reflections : 85
% # Paramodulations : 1378
% # Factorizations : 0
% # Equation resolutions : 32
% # Current number of processed clauses: 349
% # Positive orientable unit clauses: 59
% # Positive unorientable unit clauses: 0
% # Negative unit clauses : 23
% # Non-unit-clauses : 267
% # Current number of unprocessed clauses: 866
% # ...number of literals in the above : 4120
% # Clause-clause subsumption calls (NU) : 5851
% # Rec. Clause-clause subsumption calls : 2092
% # Unit Clause-clause subsumption calls : 475
% # Rewrite failures with RHS unbound : 0
% # Indexed BW rewrite attempts : 6
% # Indexed BW rewrite successes : 3
% # Backwards rewriting index: 287 leaves, 1.22+/-0.732 terms/leaf
% # Paramod-from index: 154 leaves, 1.03+/-0.177 terms/leaf
% # Paramod-into index: 252 leaves, 1.15+/-0.557 terms/leaf
% # -------------------------------------------------
% # User time : 0.122 s
% # System time : 0.007 s
% # Total time : 0.129 s
% # Maximum resident set size: 0 pages
% PrfWatch: 0.26 CPU 0.35 WC
% FINAL PrfWatch: 0.26 CPU 0.35 WC
% SZS output end Solution for /tmp/SystemOnTPTP26330/NUM558+3.tptp
%
%------------------------------------------------------------------------------