TSTP Solution File: RNG120+4 by SRASS---0.1
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- Process Solution
%------------------------------------------------------------------------------
% File : SRASS---0.1
% Problem : RNG120+4 : TPTP v5.0.0. Released v4.0.0.
% Transfm : none
% Format : tptp
% Command : SRASS -q2 -a 0 10 10 10 -i3 -n60 %s
% Computer : art02.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 22:47:45 EST 2010
% Result : Theorem 9.11s
% Output : Solution 9.11s
% 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/SystemOnTPTP16811/RNG120+4.tptp
% Adding relevance values
% Extracting the conjecture
% Sorting axioms by relevance
% Looking for THM ...
% found
% SZS status THM for /tmp/SystemOnTPTP16811/RNG120+4.tptp
% SZS output start Solution for /tmp/SystemOnTPTP16811/RNG120+4.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 16907
% TreeLimitedRun: ----------------------------------------------------------
% PrfWatch: 0.00 CPU 0.00 WC
% PrfWatch: 1.92 CPU 2.01 WC
% PrfWatch: 3.91 CPU 4.01 WC
% # Preprocessing time : 0.026 s
% # Problem is unsatisfiable (or provable), constructing proof object
% # SZS status Theorem
% PrfWatch: 5.90 CPU 6.02 WC
% PrfWatch: 7.90 CPU 8.02 WC
% # SZS output start CNFRefutation.
% fof(2, axiom,![X1]:(aElement0(X1)=>aElement0(smndt0(X1))),file('/tmp/SRASS.s.p', mSortsU)).
% fof(3, axiom,![X1]:![X2]:((aElement0(X1)&aElement0(X2))=>aElement0(sdtpldt0(X1,X2))),file('/tmp/SRASS.s.p', mSortsB)).
% fof(4, axiom,![X1]:![X2]:((aElement0(X1)&aElement0(X2))=>aElement0(sdtasdt0(X1,X2))),file('/tmp/SRASS.s.p', mSortsB_02)).
% fof(25, axiom,(aElement0(xa)&aElement0(xb)),file('/tmp/SRASS.s.p', m__2091)).
% fof(28, axiom,((((((aSet0(xI)&![X1]:(aElementOf0(X1,xI)=>(![X2]:(aElementOf0(X2,xI)=>aElementOf0(sdtpldt0(X1,X2),xI))&![X2]:(aElement0(X2)=>aElementOf0(sdtasdt0(X2,X1),xI)))))&aIdeal0(xI))&![X1]:(aElementOf0(X1,slsdtgt0(xa))<=>?[X2]:(aElement0(X2)&sdtasdt0(xa,X2)=X1)))&![X1]:(aElementOf0(X1,slsdtgt0(xb))<=>?[X2]:(aElement0(X2)&sdtasdt0(xb,X2)=X1)))&![X1]:(aElementOf0(X1,xI)<=>?[X2]:?[X3]:((aElementOf0(X2,slsdtgt0(xa))&aElementOf0(X3,slsdtgt0(xb)))&sdtpldt0(X2,X3)=X1)))&xI=sdtpldt1(slsdtgt0(xa),slsdtgt0(xb))),file('/tmp/SRASS.s.p', m__2174)).
% fof(30, axiom,?[X1]:((((![X2]:(aElementOf0(X2,slsdtgt0(xa))<=>?[X3]:(aElement0(X3)&sdtasdt0(xa,X3)=X2))&![X2]:(aElementOf0(X2,slsdtgt0(xb))<=>?[X3]:(aElement0(X3)&sdtasdt0(xb,X3)=X2)))&?[X2]:?[X3]:((aElementOf0(X2,slsdtgt0(xa))&aElementOf0(X3,slsdtgt0(xb)))&sdtpldt0(X2,X3)=X1))&aElementOf0(X1,sdtpldt1(slsdtgt0(xa),slsdtgt0(xb))))&~(X1=sz00)),file('/tmp/SRASS.s.p', m__2228)).
% fof(31, axiom,(((?[X1]:?[X2]:((aElementOf0(X1,slsdtgt0(xa))&aElementOf0(X2,slsdtgt0(xb)))&sdtpldt0(X1,X2)=xu)&aElementOf0(xu,xI))&~(xu=sz00))&![X1]:(((?[X2]:?[X3]:((aElementOf0(X2,slsdtgt0(xa))&aElementOf0(X3,slsdtgt0(xb)))&sdtpldt0(X2,X3)=X1)|aElementOf0(X1,xI))&~(X1=sz00))=>~(iLess0(sbrdtbr0(X1),sbrdtbr0(xu))))),file('/tmp/SRASS.s.p', m__2273)).
% fof(36, axiom,(((aElement0(xq)&aElement0(xr))&xb=sdtpldt0(sdtasdt0(xq,xu),xr))&(xr=sz00|iLess0(sbrdtbr0(xr),sbrdtbr0(xu)))),file('/tmp/SRASS.s.p', m__2666)).
% fof(40, axiom,![X1]:(aElement0(X1)=>(sdtasdt0(smndt0(sz10),X1)=smndt0(X1)&smndt0(X1)=sdtasdt0(X1,smndt0(sz10)))),file('/tmp/SRASS.s.p', mMulMnOne)).
% fof(45, axiom,aElement0(sz10),file('/tmp/SRASS.s.p', mSortsC_01)).
% fof(52, conjecture,(?[X1]:?[X2]:((aElementOf0(X1,slsdtgt0(xa))&aElementOf0(X2,slsdtgt0(xb)))&sdtpldt0(X1,X2)=smndt0(sdtasdt0(xq,xu)))|aElementOf0(smndt0(sdtasdt0(xq,xu)),xI)),file('/tmp/SRASS.s.p', m__)).
% fof(53, negated_conjecture,~((?[X1]:?[X2]:((aElementOf0(X1,slsdtgt0(xa))&aElementOf0(X2,slsdtgt0(xb)))&sdtpldt0(X1,X2)=smndt0(sdtasdt0(xq,xu)))|aElementOf0(smndt0(sdtasdt0(xq,xu)),xI))),inference(assume_negation,[status(cth)],[52])).
% fof(54, plain,(((?[X1]:?[X2]:((aElementOf0(X1,slsdtgt0(xa))&aElementOf0(X2,slsdtgt0(xb)))&sdtpldt0(X1,X2)=xu)&aElementOf0(xu,xI))&~(xu=sz00))&![X1]:(((?[X2]:?[X3]:((aElementOf0(X2,slsdtgt0(xa))&aElementOf0(X3,slsdtgt0(xb)))&sdtpldt0(X2,X3)=X1)|aElementOf0(X1,xI))&~(X1=sz00))=>~(iLess0(sbrdtbr0(X1),sbrdtbr0(xu))))),inference(fof_simplification,[status(thm)],[31,theory(equality)])).
% fof(60, plain,![X1]:(~(aElement0(X1))|aElement0(smndt0(X1))),inference(fof_nnf,[status(thm)],[2])).
% fof(61, plain,![X2]:(~(aElement0(X2))|aElement0(smndt0(X2))),inference(variable_rename,[status(thm)],[60])).
% cnf(62,plain,(aElement0(smndt0(X1))|~aElement0(X1)),inference(split_conjunct,[status(thm)],[61])).
% fof(63, plain,![X1]:![X2]:((~(aElement0(X1))|~(aElement0(X2)))|aElement0(sdtpldt0(X1,X2))),inference(fof_nnf,[status(thm)],[3])).
% fof(64, plain,![X3]:![X4]:((~(aElement0(X3))|~(aElement0(X4)))|aElement0(sdtpldt0(X3,X4))),inference(variable_rename,[status(thm)],[63])).
% cnf(65,plain,(aElement0(sdtpldt0(X1,X2))|~aElement0(X2)|~aElement0(X1)),inference(split_conjunct,[status(thm)],[64])).
% fof(66, plain,![X1]:![X2]:((~(aElement0(X1))|~(aElement0(X2)))|aElement0(sdtasdt0(X1,X2))),inference(fof_nnf,[status(thm)],[4])).
% fof(67, plain,![X3]:![X4]:((~(aElement0(X3))|~(aElement0(X4)))|aElement0(sdtasdt0(X3,X4))),inference(variable_rename,[status(thm)],[66])).
% cnf(68,plain,(aElement0(sdtasdt0(X1,X2))|~aElement0(X2)|~aElement0(X1)),inference(split_conjunct,[status(thm)],[67])).
% cnf(195,plain,(aElement0(xb)),inference(split_conjunct,[status(thm)],[25])).
% cnf(196,plain,(aElement0(xa)),inference(split_conjunct,[status(thm)],[25])).
% fof(241, plain,((((((aSet0(xI)&![X1]:(~(aElementOf0(X1,xI))|(![X2]:(~(aElementOf0(X2,xI))|aElementOf0(sdtpldt0(X1,X2),xI))&![X2]:(~(aElement0(X2))|aElementOf0(sdtasdt0(X2,X1),xI)))))&aIdeal0(xI))&![X1]:((~(aElementOf0(X1,slsdtgt0(xa)))|?[X2]:(aElement0(X2)&sdtasdt0(xa,X2)=X1))&(![X2]:(~(aElement0(X2))|~(sdtasdt0(xa,X2)=X1))|aElementOf0(X1,slsdtgt0(xa)))))&![X1]:((~(aElementOf0(X1,slsdtgt0(xb)))|?[X2]:(aElement0(X2)&sdtasdt0(xb,X2)=X1))&(![X2]:(~(aElement0(X2))|~(sdtasdt0(xb,X2)=X1))|aElementOf0(X1,slsdtgt0(xb)))))&![X1]:((~(aElementOf0(X1,xI))|?[X2]:?[X3]:((aElementOf0(X2,slsdtgt0(xa))&aElementOf0(X3,slsdtgt0(xb)))&sdtpldt0(X2,X3)=X1))&(![X2]:![X3]:((~(aElementOf0(X2,slsdtgt0(xa)))|~(aElementOf0(X3,slsdtgt0(xb))))|~(sdtpldt0(X2,X3)=X1))|aElementOf0(X1,xI))))&xI=sdtpldt1(slsdtgt0(xa),slsdtgt0(xb))),inference(fof_nnf,[status(thm)],[28])).
% fof(242, plain,((((((aSet0(xI)&![X4]:(~(aElementOf0(X4,xI))|(![X5]:(~(aElementOf0(X5,xI))|aElementOf0(sdtpldt0(X4,X5),xI))&![X6]:(~(aElement0(X6))|aElementOf0(sdtasdt0(X6,X4),xI)))))&aIdeal0(xI))&![X7]:((~(aElementOf0(X7,slsdtgt0(xa)))|?[X8]:(aElement0(X8)&sdtasdt0(xa,X8)=X7))&(![X9]:(~(aElement0(X9))|~(sdtasdt0(xa,X9)=X7))|aElementOf0(X7,slsdtgt0(xa)))))&![X10]:((~(aElementOf0(X10,slsdtgt0(xb)))|?[X11]:(aElement0(X11)&sdtasdt0(xb,X11)=X10))&(![X12]:(~(aElement0(X12))|~(sdtasdt0(xb,X12)=X10))|aElementOf0(X10,slsdtgt0(xb)))))&![X13]:((~(aElementOf0(X13,xI))|?[X14]:?[X15]:((aElementOf0(X14,slsdtgt0(xa))&aElementOf0(X15,slsdtgt0(xb)))&sdtpldt0(X14,X15)=X13))&(![X16]:![X17]:((~(aElementOf0(X16,slsdtgt0(xa)))|~(aElementOf0(X17,slsdtgt0(xb))))|~(sdtpldt0(X16,X17)=X13))|aElementOf0(X13,xI))))&xI=sdtpldt1(slsdtgt0(xa),slsdtgt0(xb))),inference(variable_rename,[status(thm)],[241])).
% fof(243, plain,((((((aSet0(xI)&![X4]:(~(aElementOf0(X4,xI))|(![X5]:(~(aElementOf0(X5,xI))|aElementOf0(sdtpldt0(X4,X5),xI))&![X6]:(~(aElement0(X6))|aElementOf0(sdtasdt0(X6,X4),xI)))))&aIdeal0(xI))&![X7]:((~(aElementOf0(X7,slsdtgt0(xa)))|(aElement0(esk21_1(X7))&sdtasdt0(xa,esk21_1(X7))=X7))&(![X9]:(~(aElement0(X9))|~(sdtasdt0(xa,X9)=X7))|aElementOf0(X7,slsdtgt0(xa)))))&![X10]:((~(aElementOf0(X10,slsdtgt0(xb)))|(aElement0(esk22_1(X10))&sdtasdt0(xb,esk22_1(X10))=X10))&(![X12]:(~(aElement0(X12))|~(sdtasdt0(xb,X12)=X10))|aElementOf0(X10,slsdtgt0(xb)))))&![X13]:((~(aElementOf0(X13,xI))|((aElementOf0(esk23_1(X13),slsdtgt0(xa))&aElementOf0(esk24_1(X13),slsdtgt0(xb)))&sdtpldt0(esk23_1(X13),esk24_1(X13))=X13))&(![X16]:![X17]:((~(aElementOf0(X16,slsdtgt0(xa)))|~(aElementOf0(X17,slsdtgt0(xb))))|~(sdtpldt0(X16,X17)=X13))|aElementOf0(X13,xI))))&xI=sdtpldt1(slsdtgt0(xa),slsdtgt0(xb))),inference(skolemize,[status(esa)],[242])).
% fof(244, plain,![X4]:![X5]:![X6]:![X7]:![X9]:![X10]:![X12]:![X13]:![X16]:![X17]:((((((~(aElementOf0(X16,slsdtgt0(xa)))|~(aElementOf0(X17,slsdtgt0(xb))))|~(sdtpldt0(X16,X17)=X13))|aElementOf0(X13,xI))&(~(aElementOf0(X13,xI))|((aElementOf0(esk23_1(X13),slsdtgt0(xa))&aElementOf0(esk24_1(X13),slsdtgt0(xb)))&sdtpldt0(esk23_1(X13),esk24_1(X13))=X13)))&((((~(aElement0(X12))|~(sdtasdt0(xb,X12)=X10))|aElementOf0(X10,slsdtgt0(xb)))&(~(aElementOf0(X10,slsdtgt0(xb)))|(aElement0(esk22_1(X10))&sdtasdt0(xb,esk22_1(X10))=X10)))&((((~(aElement0(X9))|~(sdtasdt0(xa,X9)=X7))|aElementOf0(X7,slsdtgt0(xa)))&(~(aElementOf0(X7,slsdtgt0(xa)))|(aElement0(esk21_1(X7))&sdtasdt0(xa,esk21_1(X7))=X7)))&(((((~(aElement0(X6))|aElementOf0(sdtasdt0(X6,X4),xI))&(~(aElementOf0(X5,xI))|aElementOf0(sdtpldt0(X4,X5),xI)))|~(aElementOf0(X4,xI)))&aSet0(xI))&aIdeal0(xI)))))&xI=sdtpldt1(slsdtgt0(xa),slsdtgt0(xb))),inference(shift_quantors,[status(thm)],[243])).
% fof(245, plain,![X4]:![X5]:![X6]:![X7]:![X9]:![X10]:![X12]:![X13]:![X16]:![X17]:((((((~(aElementOf0(X16,slsdtgt0(xa)))|~(aElementOf0(X17,slsdtgt0(xb))))|~(sdtpldt0(X16,X17)=X13))|aElementOf0(X13,xI))&(((aElementOf0(esk23_1(X13),slsdtgt0(xa))|~(aElementOf0(X13,xI)))&(aElementOf0(esk24_1(X13),slsdtgt0(xb))|~(aElementOf0(X13,xI))))&(sdtpldt0(esk23_1(X13),esk24_1(X13))=X13|~(aElementOf0(X13,xI)))))&((((~(aElement0(X12))|~(sdtasdt0(xb,X12)=X10))|aElementOf0(X10,slsdtgt0(xb)))&((aElement0(esk22_1(X10))|~(aElementOf0(X10,slsdtgt0(xb))))&(sdtasdt0(xb,esk22_1(X10))=X10|~(aElementOf0(X10,slsdtgt0(xb))))))&((((~(aElement0(X9))|~(sdtasdt0(xa,X9)=X7))|aElementOf0(X7,slsdtgt0(xa)))&((aElement0(esk21_1(X7))|~(aElementOf0(X7,slsdtgt0(xa))))&(sdtasdt0(xa,esk21_1(X7))=X7|~(aElementOf0(X7,slsdtgt0(xa))))))&(((((~(aElement0(X6))|aElementOf0(sdtasdt0(X6,X4),xI))|~(aElementOf0(X4,xI)))&((~(aElementOf0(X5,xI))|aElementOf0(sdtpldt0(X4,X5),xI))|~(aElementOf0(X4,xI))))&aSet0(xI))&aIdeal0(xI)))))&xI=sdtpldt1(slsdtgt0(xa),slsdtgt0(xb))),inference(distribute,[status(thm)],[244])).
% cnf(250,plain,(aElementOf0(sdtasdt0(X2,X1),xI)|~aElementOf0(X1,xI)|~aElement0(X2)),inference(split_conjunct,[status(thm)],[245])).
% cnf(257,plain,(sdtpldt0(esk23_1(X1),esk24_1(X1))=X1|~aElementOf0(X1,xI)),inference(split_conjunct,[status(thm)],[245])).
% cnf(258,plain,(aElementOf0(esk24_1(X1),slsdtgt0(xb))|~aElementOf0(X1,xI)),inference(split_conjunct,[status(thm)],[245])).
% cnf(259,plain,(aElementOf0(esk23_1(X1),slsdtgt0(xa))|~aElementOf0(X1,xI)),inference(split_conjunct,[status(thm)],[245])).
% fof(275, plain,?[X1]:((((![X2]:((~(aElementOf0(X2,slsdtgt0(xa)))|?[X3]:(aElement0(X3)&sdtasdt0(xa,X3)=X2))&(![X3]:(~(aElement0(X3))|~(sdtasdt0(xa,X3)=X2))|aElementOf0(X2,slsdtgt0(xa))))&![X2]:((~(aElementOf0(X2,slsdtgt0(xb)))|?[X3]:(aElement0(X3)&sdtasdt0(xb,X3)=X2))&(![X3]:(~(aElement0(X3))|~(sdtasdt0(xb,X3)=X2))|aElementOf0(X2,slsdtgt0(xb)))))&?[X2]:?[X3]:((aElementOf0(X2,slsdtgt0(xa))&aElementOf0(X3,slsdtgt0(xb)))&sdtpldt0(X2,X3)=X1))&aElementOf0(X1,sdtpldt1(slsdtgt0(xa),slsdtgt0(xb))))&~(X1=sz00)),inference(fof_nnf,[status(thm)],[30])).
% fof(276, plain,?[X4]:((((![X5]:((~(aElementOf0(X5,slsdtgt0(xa)))|?[X6]:(aElement0(X6)&sdtasdt0(xa,X6)=X5))&(![X7]:(~(aElement0(X7))|~(sdtasdt0(xa,X7)=X5))|aElementOf0(X5,slsdtgt0(xa))))&![X8]:((~(aElementOf0(X8,slsdtgt0(xb)))|?[X9]:(aElement0(X9)&sdtasdt0(xb,X9)=X8))&(![X10]:(~(aElement0(X10))|~(sdtasdt0(xb,X10)=X8))|aElementOf0(X8,slsdtgt0(xb)))))&?[X11]:?[X12]:((aElementOf0(X11,slsdtgt0(xa))&aElementOf0(X12,slsdtgt0(xb)))&sdtpldt0(X11,X12)=X4))&aElementOf0(X4,sdtpldt1(slsdtgt0(xa),slsdtgt0(xb))))&~(X4=sz00)),inference(variable_rename,[status(thm)],[275])).
% fof(277, plain,((((![X5]:((~(aElementOf0(X5,slsdtgt0(xa)))|(aElement0(esk30_1(X5))&sdtasdt0(xa,esk30_1(X5))=X5))&(![X7]:(~(aElement0(X7))|~(sdtasdt0(xa,X7)=X5))|aElementOf0(X5,slsdtgt0(xa))))&![X8]:((~(aElementOf0(X8,slsdtgt0(xb)))|(aElement0(esk31_1(X8))&sdtasdt0(xb,esk31_1(X8))=X8))&(![X10]:(~(aElement0(X10))|~(sdtasdt0(xb,X10)=X8))|aElementOf0(X8,slsdtgt0(xb)))))&((aElementOf0(esk32_0,slsdtgt0(xa))&aElementOf0(esk33_0,slsdtgt0(xb)))&sdtpldt0(esk32_0,esk33_0)=esk29_0))&aElementOf0(esk29_0,sdtpldt1(slsdtgt0(xa),slsdtgt0(xb))))&~(esk29_0=sz00)),inference(skolemize,[status(esa)],[276])).
% fof(278, plain,![X5]:![X7]:![X8]:![X10]:(((((((~(aElement0(X10))|~(sdtasdt0(xb,X10)=X8))|aElementOf0(X8,slsdtgt0(xb)))&(~(aElementOf0(X8,slsdtgt0(xb)))|(aElement0(esk31_1(X8))&sdtasdt0(xb,esk31_1(X8))=X8)))&(((~(aElement0(X7))|~(sdtasdt0(xa,X7)=X5))|aElementOf0(X5,slsdtgt0(xa)))&(~(aElementOf0(X5,slsdtgt0(xa)))|(aElement0(esk30_1(X5))&sdtasdt0(xa,esk30_1(X5))=X5))))&((aElementOf0(esk32_0,slsdtgt0(xa))&aElementOf0(esk33_0,slsdtgt0(xb)))&sdtpldt0(esk32_0,esk33_0)=esk29_0))&aElementOf0(esk29_0,sdtpldt1(slsdtgt0(xa),slsdtgt0(xb))))&~(esk29_0=sz00)),inference(shift_quantors,[status(thm)],[277])).
% fof(279, plain,![X5]:![X7]:![X8]:![X10]:(((((((~(aElement0(X10))|~(sdtasdt0(xb,X10)=X8))|aElementOf0(X8,slsdtgt0(xb)))&((aElement0(esk31_1(X8))|~(aElementOf0(X8,slsdtgt0(xb))))&(sdtasdt0(xb,esk31_1(X8))=X8|~(aElementOf0(X8,slsdtgt0(xb))))))&(((~(aElement0(X7))|~(sdtasdt0(xa,X7)=X5))|aElementOf0(X5,slsdtgt0(xa)))&((aElement0(esk30_1(X5))|~(aElementOf0(X5,slsdtgt0(xa))))&(sdtasdt0(xa,esk30_1(X5))=X5|~(aElementOf0(X5,slsdtgt0(xa)))))))&((aElementOf0(esk32_0,slsdtgt0(xa))&aElementOf0(esk33_0,slsdtgt0(xb)))&sdtpldt0(esk32_0,esk33_0)=esk29_0))&aElementOf0(esk29_0,sdtpldt1(slsdtgt0(xa),slsdtgt0(xb))))&~(esk29_0=sz00)),inference(distribute,[status(thm)],[278])).
% cnf(285,plain,(sdtasdt0(xa,esk30_1(X1))=X1|~aElementOf0(X1,slsdtgt0(xa))),inference(split_conjunct,[status(thm)],[279])).
% cnf(286,plain,(aElement0(esk30_1(X1))|~aElementOf0(X1,slsdtgt0(xa))),inference(split_conjunct,[status(thm)],[279])).
% cnf(288,plain,(sdtasdt0(xb,esk31_1(X1))=X1|~aElementOf0(X1,slsdtgt0(xb))),inference(split_conjunct,[status(thm)],[279])).
% cnf(289,plain,(aElement0(esk31_1(X1))|~aElementOf0(X1,slsdtgt0(xb))),inference(split_conjunct,[status(thm)],[279])).
% fof(291, plain,(((?[X1]:?[X2]:((aElementOf0(X1,slsdtgt0(xa))&aElementOf0(X2,slsdtgt0(xb)))&sdtpldt0(X1,X2)=xu)&aElementOf0(xu,xI))&~(xu=sz00))&![X1]:(((![X2]:![X3]:((~(aElementOf0(X2,slsdtgt0(xa)))|~(aElementOf0(X3,slsdtgt0(xb))))|~(sdtpldt0(X2,X3)=X1))&~(aElementOf0(X1,xI)))|X1=sz00)|~(iLess0(sbrdtbr0(X1),sbrdtbr0(xu))))),inference(fof_nnf,[status(thm)],[54])).
% fof(292, plain,(((?[X4]:?[X5]:((aElementOf0(X4,slsdtgt0(xa))&aElementOf0(X5,slsdtgt0(xb)))&sdtpldt0(X4,X5)=xu)&aElementOf0(xu,xI))&~(xu=sz00))&![X6]:(((![X7]:![X8]:((~(aElementOf0(X7,slsdtgt0(xa)))|~(aElementOf0(X8,slsdtgt0(xb))))|~(sdtpldt0(X7,X8)=X6))&~(aElementOf0(X6,xI)))|X6=sz00)|~(iLess0(sbrdtbr0(X6),sbrdtbr0(xu))))),inference(variable_rename,[status(thm)],[291])).
% fof(293, plain,(((((aElementOf0(esk34_0,slsdtgt0(xa))&aElementOf0(esk35_0,slsdtgt0(xb)))&sdtpldt0(esk34_0,esk35_0)=xu)&aElementOf0(xu,xI))&~(xu=sz00))&![X6]:(((![X7]:![X8]:((~(aElementOf0(X7,slsdtgt0(xa)))|~(aElementOf0(X8,slsdtgt0(xb))))|~(sdtpldt0(X7,X8)=X6))&~(aElementOf0(X6,xI)))|X6=sz00)|~(iLess0(sbrdtbr0(X6),sbrdtbr0(xu))))),inference(skolemize,[status(esa)],[292])).
% fof(294, plain,![X6]:![X7]:![X8]:((((((~(aElementOf0(X7,slsdtgt0(xa)))|~(aElementOf0(X8,slsdtgt0(xb))))|~(sdtpldt0(X7,X8)=X6))&~(aElementOf0(X6,xI)))|X6=sz00)|~(iLess0(sbrdtbr0(X6),sbrdtbr0(xu))))&((((aElementOf0(esk34_0,slsdtgt0(xa))&aElementOf0(esk35_0,slsdtgt0(xb)))&sdtpldt0(esk34_0,esk35_0)=xu)&aElementOf0(xu,xI))&~(xu=sz00))),inference(shift_quantors,[status(thm)],[293])).
% fof(295, plain,![X6]:![X7]:![X8]:((((((~(aElementOf0(X7,slsdtgt0(xa)))|~(aElementOf0(X8,slsdtgt0(xb))))|~(sdtpldt0(X7,X8)=X6))|X6=sz00)|~(iLess0(sbrdtbr0(X6),sbrdtbr0(xu))))&((~(aElementOf0(X6,xI))|X6=sz00)|~(iLess0(sbrdtbr0(X6),sbrdtbr0(xu)))))&((((aElementOf0(esk34_0,slsdtgt0(xa))&aElementOf0(esk35_0,slsdtgt0(xb)))&sdtpldt0(esk34_0,esk35_0)=xu)&aElementOf0(xu,xI))&~(xu=sz00))),inference(distribute,[status(thm)],[294])).
% cnf(297,plain,(aElementOf0(xu,xI)),inference(split_conjunct,[status(thm)],[295])).
% cnf(335,plain,(aElement0(xq)),inference(split_conjunct,[status(thm)],[36])).
% fof(353, plain,![X1]:(~(aElement0(X1))|(sdtasdt0(smndt0(sz10),X1)=smndt0(X1)&smndt0(X1)=sdtasdt0(X1,smndt0(sz10)))),inference(fof_nnf,[status(thm)],[40])).
% fof(354, plain,![X2]:(~(aElement0(X2))|(sdtasdt0(smndt0(sz10),X2)=smndt0(X2)&smndt0(X2)=sdtasdt0(X2,smndt0(sz10)))),inference(variable_rename,[status(thm)],[353])).
% fof(355, plain,![X2]:((sdtasdt0(smndt0(sz10),X2)=smndt0(X2)|~(aElement0(X2)))&(smndt0(X2)=sdtasdt0(X2,smndt0(sz10))|~(aElement0(X2)))),inference(distribute,[status(thm)],[354])).
% cnf(357,plain,(sdtasdt0(smndt0(sz10),X1)=smndt0(X1)|~aElement0(X1)),inference(split_conjunct,[status(thm)],[355])).
% cnf(379,plain,(aElement0(sz10)),inference(split_conjunct,[status(thm)],[45])).
% fof(396, negated_conjecture,(![X1]:![X2]:((~(aElementOf0(X1,slsdtgt0(xa)))|~(aElementOf0(X2,slsdtgt0(xb))))|~(sdtpldt0(X1,X2)=smndt0(sdtasdt0(xq,xu))))&~(aElementOf0(smndt0(sdtasdt0(xq,xu)),xI))),inference(fof_nnf,[status(thm)],[53])).
% fof(397, negated_conjecture,(![X3]:![X4]:((~(aElementOf0(X3,slsdtgt0(xa)))|~(aElementOf0(X4,slsdtgt0(xb))))|~(sdtpldt0(X3,X4)=smndt0(sdtasdt0(xq,xu))))&~(aElementOf0(smndt0(sdtasdt0(xq,xu)),xI))),inference(variable_rename,[status(thm)],[396])).
% fof(398, negated_conjecture,![X3]:![X4]:(((~(aElementOf0(X3,slsdtgt0(xa)))|~(aElementOf0(X4,slsdtgt0(xb))))|~(sdtpldt0(X3,X4)=smndt0(sdtasdt0(xq,xu))))&~(aElementOf0(smndt0(sdtasdt0(xq,xu)),xI))),inference(shift_quantors,[status(thm)],[397])).
% cnf(399,negated_conjecture,(~aElementOf0(smndt0(sdtasdt0(xq,xu)),xI)),inference(split_conjunct,[status(thm)],[398])).
% cnf(495,plain,(aElementOf0(smndt0(X1),xI)|~aElementOf0(X1,xI)|~aElement0(smndt0(sz10))|~aElement0(X1)),inference(spm,[status(thm)],[250,357,theory(equality)])).
% cnf(538,plain,(aElement0(X1)|~aElement0(esk24_1(X1))|~aElement0(esk23_1(X1))|~aElementOf0(X1,xI)),inference(spm,[status(thm)],[65,257,theory(equality)])).
% cnf(602,plain,(aElement0(X1)|~aElement0(esk31_1(X1))|~aElement0(xb)|~aElementOf0(X1,slsdtgt0(xb))),inference(spm,[status(thm)],[68,288,theory(equality)])).
% cnf(606,plain,(aElement0(X1)|~aElement0(esk30_1(X1))|~aElement0(xa)|~aElementOf0(X1,slsdtgt0(xa))),inference(spm,[status(thm)],[68,285,theory(equality)])).
% cnf(628,plain,(aElement0(X1)|~aElement0(esk31_1(X1))|$false|~aElementOf0(X1,slsdtgt0(xb))),inference(rw,[status(thm)],[602,195,theory(equality)])).
% cnf(629,plain,(aElement0(X1)|~aElement0(esk31_1(X1))|~aElementOf0(X1,slsdtgt0(xb))),inference(cn,[status(thm)],[628,theory(equality)])).
% cnf(640,plain,(aElement0(X1)|~aElement0(esk30_1(X1))|$false|~aElementOf0(X1,slsdtgt0(xa))),inference(rw,[status(thm)],[606,196,theory(equality)])).
% cnf(641,plain,(aElement0(X1)|~aElement0(esk30_1(X1))|~aElementOf0(X1,slsdtgt0(xa))),inference(cn,[status(thm)],[640,theory(equality)])).
% cnf(3665,negated_conjecture,(~aElementOf0(sdtasdt0(xq,xu),xI)|~aElement0(smndt0(sz10))|~aElement0(sdtasdt0(xq,xu))),inference(spm,[status(thm)],[399,495,theory(equality)])).
% cnf(3959,plain,(aElement0(X1)|~aElementOf0(X1,slsdtgt0(xb))),inference(csr,[status(thm)],[629,289])).
% cnf(3962,plain,(aElement0(esk24_1(X1))|~aElementOf0(X1,xI)),inference(spm,[status(thm)],[3959,258,theory(equality)])).
% cnf(4007,plain,(aElement0(X1)|~aElementOf0(X1,xI)|~aElement0(esk23_1(X1))),inference(spm,[status(thm)],[538,3962,theory(equality)])).
% cnf(4088,plain,(aElement0(X1)|~aElementOf0(X1,slsdtgt0(xa))),inference(csr,[status(thm)],[641,286])).
% cnf(4091,plain,(aElement0(esk23_1(X1))|~aElementOf0(X1,xI)),inference(spm,[status(thm)],[4088,259,theory(equality)])).
% cnf(5079,plain,(aElement0(X1)|~aElementOf0(X1,xI)),inference(csr,[status(thm)],[4007,4091])).
% cnf(265322,negated_conjecture,(~aElementOf0(sdtasdt0(xq,xu),xI)|~aElement0(smndt0(sz10))),inference(csr,[status(thm)],[3665,5079])).
% cnf(265331,negated_conjecture,(~aElementOf0(sdtasdt0(xq,xu),xI)|~aElement0(sz10)),inference(spm,[status(thm)],[265322,62,theory(equality)])).
% cnf(265333,negated_conjecture,(~aElementOf0(sdtasdt0(xq,xu),xI)|$false),inference(rw,[status(thm)],[265331,379,theory(equality)])).
% cnf(265334,negated_conjecture,(~aElementOf0(sdtasdt0(xq,xu),xI)),inference(cn,[status(thm)],[265333,theory(equality)])).
% cnf(265349,negated_conjecture,(~aElementOf0(xu,xI)|~aElement0(xq)),inference(spm,[status(thm)],[265334,250,theory(equality)])).
% cnf(265358,negated_conjecture,($false|~aElement0(xq)),inference(rw,[status(thm)],[265349,297,theory(equality)])).
% cnf(265359,negated_conjecture,($false|$false),inference(rw,[status(thm)],[265358,335,theory(equality)])).
% cnf(265360,negated_conjecture,($false),inference(cn,[status(thm)],[265359,theory(equality)])).
% cnf(265361,negated_conjecture,($false),265360,['proof']).
% # SZS output end CNFRefutation
% # Processed clauses : 8200
% # ...of these trivial : 358
% # ...subsumed : 5183
% # ...remaining for further processing: 2659
% # Other redundant clauses eliminated : 83
% # Clauses deleted for lack of memory : 0
% # Backward-subsumed : 109
% # Backward-rewritten : 133
% # Generated clauses : 98616
% # ...of the previous two non-trivial : 89096
% # Contextual simplify-reflections : 1464
% # Paramodulations : 98378
% # Factorizations : 0
% # Equation resolutions : 237
% # Current number of processed clauses: 2226
% # Positive orientable unit clauses: 480
% # Positive unorientable unit clauses: 0
% # Negative unit clauses : 187
% # Non-unit-clauses : 1559
% # Current number of unprocessed clauses: 77640
% # ...number of literals in the above : 380135
% # Clause-clause subsumption calls (NU) : 68120
% # Rec. Clause-clause subsumption calls : 37057
% # Unit Clause-clause subsumption calls : 8384
% # Rewrite failures with RHS unbound : 0
% # Indexed BW rewrite attempts : 98
% # Indexed BW rewrite successes : 60
% # Backwards rewriting index: 1624 leaves, 1.21+/-0.957 terms/leaf
% # Paramod-from index: 906 leaves, 1.06+/-0.310 terms/leaf
% # Paramod-into index: 1408 leaves, 1.14+/-0.587 terms/leaf
% # -------------------------------------------------
% # User time : 4.426 s
% # System time : 0.178 s
% # Total time : 4.604 s
% # Maximum resident set size: 0 pages
% PrfWatch: 8.23 CPU 8.37 WC
% FINAL PrfWatch: 8.23 CPU 8.37 WC
% SZS output end Solution for /tmp/SystemOnTPTP16811/RNG120+4.tptp
%
%------------------------------------------------------------------------------