TSTP Solution File: COM019+4 by SRASS---0.1
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- Process Solution
%------------------------------------------------------------------------------
% File : SRASS---0.1
% Problem : COM019+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 : 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 : Tue Dec 28 22:42:23 EST 2010
% Result : Theorem 9.49s
% Output : Solution 9.49s
% 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/SystemOnTPTP13394/COM019+4.tptp
% Adding relevance values
% Extracting the conjecture
% Sorting axioms by relevance
% Looking for THM ...
% found
% SZS status THM for /tmp/SystemOnTPTP13394/COM019+4.tptp
% SZS output start Solution for /tmp/SystemOnTPTP13394/COM019+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 13490
% TreeLimitedRun: ----------------------------------------------------------
% PrfWatch: 0.00 CPU 0.02 WC
% PrfWatch: 1.93 CPU 2.02 WC
% PrfWatch: 3.91 CPU 4.03 WC
% # Preprocessing time : 0.040 s
% # Problem is unsatisfiable (or provable), constructing proof object
% # SZS status Theorem
% PrfWatch: 5.91 CPU 6.03 WC
% PrfWatch: 7.90 CPU 8.04 WC
% # SZS output start CNFRefutation.
% fof(5, axiom,![X1]:![X2]:![X3]:![X4]:((((aElement0(X1)&aRewritingSystem0(X2))&aElement0(X3))&aElement0(X4))=>((sdtmndtasgtdt0(X1,X2,X3)&sdtmndtasgtdt0(X3,X2,X4))=>sdtmndtasgtdt0(X1,X2,X4))),file('/tmp/SRASS.s.p', mTCRTrans)).
% fof(10, axiom,aRewritingSystem0(xR),file('/tmp/SRASS.s.p', m__656)).
% fof(11, axiom,(((![X1]:![X2]:![X3]:(((((aElement0(X1)&aElement0(X2))&aElement0(X3))&aReductOfIn0(X2,X1,xR))&aReductOfIn0(X3,X1,xR))=>?[X4]:((((aElement0(X4)&(X2=X4|((aReductOfIn0(X4,X2,xR)|?[X5]:((aElement0(X5)&aReductOfIn0(X5,X2,xR))&sdtmndtplgtdt0(X5,xR,X4)))&sdtmndtplgtdt0(X2,xR,X4))))&sdtmndtasgtdt0(X2,xR,X4))&(X3=X4|((aReductOfIn0(X4,X3,xR)|?[X5]:((aElement0(X5)&aReductOfIn0(X5,X3,xR))&sdtmndtplgtdt0(X5,xR,X4)))&sdtmndtplgtdt0(X3,xR,X4))))&sdtmndtasgtdt0(X3,xR,X4)))&isLocallyConfluent0(xR))&![X1]:![X2]:((aElement0(X1)&aElement0(X2))=>(((aReductOfIn0(X2,X1,xR)|?[X3]:((aElement0(X3)&aReductOfIn0(X3,X1,xR))&sdtmndtplgtdt0(X3,xR,X2)))|sdtmndtplgtdt0(X1,xR,X2))=>iLess0(X2,X1))))&isTerminating0(xR)),file('/tmp/SRASS.s.p', m__656_01)).
% fof(12, axiom,((aElement0(xa)&aElement0(xb))&aElement0(xc)),file('/tmp/SRASS.s.p', m__731)).
% fof(13, axiom,![X1]:![X2]:![X3]:(((((aElement0(X1)&aElement0(X2))&aElement0(X3))&((((X1=X2|aReductOfIn0(X2,X1,xR))|?[X4]:((aElement0(X4)&aReductOfIn0(X4,X1,xR))&sdtmndtplgtdt0(X4,xR,X2)))|sdtmndtplgtdt0(X1,xR,X2))|sdtmndtasgtdt0(X1,xR,X2)))&((((X1=X3|aReductOfIn0(X3,X1,xR))|?[X4]:((aElement0(X4)&aReductOfIn0(X4,X1,xR))&sdtmndtplgtdt0(X4,xR,X3)))|sdtmndtplgtdt0(X1,xR,X3))|sdtmndtasgtdt0(X1,xR,X3)))=>(iLess0(X1,xa)=>?[X4]:((((aElement0(X4)&(X2=X4|((aReductOfIn0(X4,X2,xR)|?[X5]:((aElement0(X5)&aReductOfIn0(X5,X2,xR))&sdtmndtplgtdt0(X5,xR,X4)))&sdtmndtplgtdt0(X2,xR,X4))))&sdtmndtasgtdt0(X2,xR,X4))&(X3=X4|((aReductOfIn0(X4,X3,xR)|?[X5]:((aElement0(X5)&aReductOfIn0(X5,X3,xR))&sdtmndtplgtdt0(X5,xR,X4)))&sdtmndtplgtdt0(X3,xR,X4))))&sdtmndtasgtdt0(X3,xR,X4)))),file('/tmp/SRASS.s.p', m__715)).
% fof(15, axiom,(((aElement0(xu)&aReductOfIn0(xu,xa,xR))&(xu=xb|((aReductOfIn0(xb,xu,xR)|?[X1]:((aElement0(X1)&aReductOfIn0(X1,xu,xR))&sdtmndtplgtdt0(X1,xR,xb)))&sdtmndtplgtdt0(xu,xR,xb))))&sdtmndtasgtdt0(xu,xR,xb)),file('/tmp/SRASS.s.p', m__755)).
% fof(17, axiom,((((aElement0(xw)&(xu=xw|((aReductOfIn0(xw,xu,xR)|?[X1]:((aElement0(X1)&aReductOfIn0(X1,xu,xR))&sdtmndtplgtdt0(X1,xR,xw)))&sdtmndtplgtdt0(xu,xR,xw))))&sdtmndtasgtdt0(xu,xR,xw))&(xv=xw|((aReductOfIn0(xw,xv,xR)|?[X1]:((aElement0(X1)&aReductOfIn0(X1,xv,xR))&sdtmndtplgtdt0(X1,xR,xw)))&sdtmndtplgtdt0(xv,xR,xw))))&sdtmndtasgtdt0(xv,xR,xw)),file('/tmp/SRASS.s.p', m__799)).
% fof(18, axiom,((((aElement0(xd)&(xw=xd|((aReductOfIn0(xd,xw,xR)|?[X1]:((aElement0(X1)&aReductOfIn0(X1,xw,xR))&sdtmndtplgtdt0(X1,xR,xd)))&sdtmndtplgtdt0(xw,xR,xd))))&sdtmndtasgtdt0(xw,xR,xd))&~(?[X1]:aReductOfIn0(X1,xd,xR)))&aNormalFormOfIn0(xd,xw,xR)),file('/tmp/SRASS.s.p', m__818)).
% fof(24, conjecture,((((xb=xd|aReductOfIn0(xd,xb,xR))|?[X1]:((aElement0(X1)&aReductOfIn0(X1,xb,xR))&sdtmndtplgtdt0(X1,xR,xd)))|sdtmndtplgtdt0(xb,xR,xd))|sdtmndtasgtdt0(xb,xR,xd)),file('/tmp/SRASS.s.p', m__)).
% fof(25, negated_conjecture,~(((((xb=xd|aReductOfIn0(xd,xb,xR))|?[X1]:((aElement0(X1)&aReductOfIn0(X1,xb,xR))&sdtmndtplgtdt0(X1,xR,xd)))|sdtmndtplgtdt0(xb,xR,xd))|sdtmndtasgtdt0(xb,xR,xd))),inference(assume_negation,[status(cth)],[24])).
% fof(53, plain,![X1]:![X2]:![X3]:![X4]:((((~(aElement0(X1))|~(aRewritingSystem0(X2)))|~(aElement0(X3)))|~(aElement0(X4)))|((~(sdtmndtasgtdt0(X1,X2,X3))|~(sdtmndtasgtdt0(X3,X2,X4)))|sdtmndtasgtdt0(X1,X2,X4))),inference(fof_nnf,[status(thm)],[5])).
% fof(54, plain,![X5]:![X6]:![X7]:![X8]:((((~(aElement0(X5))|~(aRewritingSystem0(X6)))|~(aElement0(X7)))|~(aElement0(X8)))|((~(sdtmndtasgtdt0(X5,X6,X7))|~(sdtmndtasgtdt0(X7,X6,X8)))|sdtmndtasgtdt0(X5,X6,X8))),inference(variable_rename,[status(thm)],[53])).
% cnf(55,plain,(sdtmndtasgtdt0(X1,X2,X3)|~sdtmndtasgtdt0(X4,X2,X3)|~sdtmndtasgtdt0(X1,X2,X4)|~aElement0(X3)|~aElement0(X4)|~aRewritingSystem0(X2)|~aElement0(X1)),inference(split_conjunct,[status(thm)],[54])).
% cnf(94,plain,(aRewritingSystem0(xR)),inference(split_conjunct,[status(thm)],[10])).
% fof(95, plain,(((![X1]:![X2]:![X3]:(((((~(aElement0(X1))|~(aElement0(X2)))|~(aElement0(X3)))|~(aReductOfIn0(X2,X1,xR)))|~(aReductOfIn0(X3,X1,xR)))|?[X4]:((((aElement0(X4)&(X2=X4|((aReductOfIn0(X4,X2,xR)|?[X5]:((aElement0(X5)&aReductOfIn0(X5,X2,xR))&sdtmndtplgtdt0(X5,xR,X4)))&sdtmndtplgtdt0(X2,xR,X4))))&sdtmndtasgtdt0(X2,xR,X4))&(X3=X4|((aReductOfIn0(X4,X3,xR)|?[X5]:((aElement0(X5)&aReductOfIn0(X5,X3,xR))&sdtmndtplgtdt0(X5,xR,X4)))&sdtmndtplgtdt0(X3,xR,X4))))&sdtmndtasgtdt0(X3,xR,X4)))&isLocallyConfluent0(xR))&![X1]:![X2]:((~(aElement0(X1))|~(aElement0(X2)))|(((~(aReductOfIn0(X2,X1,xR))&![X3]:((~(aElement0(X3))|~(aReductOfIn0(X3,X1,xR)))|~(sdtmndtplgtdt0(X3,xR,X2))))&~(sdtmndtplgtdt0(X1,xR,X2)))|iLess0(X2,X1))))&isTerminating0(xR)),inference(fof_nnf,[status(thm)],[11])).
% fof(96, plain,(((![X6]:![X7]:![X8]:(((((~(aElement0(X6))|~(aElement0(X7)))|~(aElement0(X8)))|~(aReductOfIn0(X7,X6,xR)))|~(aReductOfIn0(X8,X6,xR)))|?[X9]:((((aElement0(X9)&(X7=X9|((aReductOfIn0(X9,X7,xR)|?[X10]:((aElement0(X10)&aReductOfIn0(X10,X7,xR))&sdtmndtplgtdt0(X10,xR,X9)))&sdtmndtplgtdt0(X7,xR,X9))))&sdtmndtasgtdt0(X7,xR,X9))&(X8=X9|((aReductOfIn0(X9,X8,xR)|?[X11]:((aElement0(X11)&aReductOfIn0(X11,X8,xR))&sdtmndtplgtdt0(X11,xR,X9)))&sdtmndtplgtdt0(X8,xR,X9))))&sdtmndtasgtdt0(X8,xR,X9)))&isLocallyConfluent0(xR))&![X12]:![X13]:((~(aElement0(X12))|~(aElement0(X13)))|(((~(aReductOfIn0(X13,X12,xR))&![X14]:((~(aElement0(X14))|~(aReductOfIn0(X14,X12,xR)))|~(sdtmndtplgtdt0(X14,xR,X13))))&~(sdtmndtplgtdt0(X12,xR,X13)))|iLess0(X13,X12))))&isTerminating0(xR)),inference(variable_rename,[status(thm)],[95])).
% fof(97, plain,(((![X6]:![X7]:![X8]:(((((~(aElement0(X6))|~(aElement0(X7)))|~(aElement0(X8)))|~(aReductOfIn0(X7,X6,xR)))|~(aReductOfIn0(X8,X6,xR)))|((((aElement0(esk10_3(X6,X7,X8))&(X7=esk10_3(X6,X7,X8)|((aReductOfIn0(esk10_3(X6,X7,X8),X7,xR)|((aElement0(esk11_3(X6,X7,X8))&aReductOfIn0(esk11_3(X6,X7,X8),X7,xR))&sdtmndtplgtdt0(esk11_3(X6,X7,X8),xR,esk10_3(X6,X7,X8))))&sdtmndtplgtdt0(X7,xR,esk10_3(X6,X7,X8)))))&sdtmndtasgtdt0(X7,xR,esk10_3(X6,X7,X8)))&(X8=esk10_3(X6,X7,X8)|((aReductOfIn0(esk10_3(X6,X7,X8),X8,xR)|((aElement0(esk12_3(X6,X7,X8))&aReductOfIn0(esk12_3(X6,X7,X8),X8,xR))&sdtmndtplgtdt0(esk12_3(X6,X7,X8),xR,esk10_3(X6,X7,X8))))&sdtmndtplgtdt0(X8,xR,esk10_3(X6,X7,X8)))))&sdtmndtasgtdt0(X8,xR,esk10_3(X6,X7,X8))))&isLocallyConfluent0(xR))&![X12]:![X13]:((~(aElement0(X12))|~(aElement0(X13)))|(((~(aReductOfIn0(X13,X12,xR))&![X14]:((~(aElement0(X14))|~(aReductOfIn0(X14,X12,xR)))|~(sdtmndtplgtdt0(X14,xR,X13))))&~(sdtmndtplgtdt0(X12,xR,X13)))|iLess0(X13,X12))))&isTerminating0(xR)),inference(skolemize,[status(esa)],[96])).
% fof(98, plain,![X6]:![X7]:![X8]:![X12]:![X13]:![X14]:((((((((~(aElement0(X14))|~(aReductOfIn0(X14,X12,xR)))|~(sdtmndtplgtdt0(X14,xR,X13)))&~(aReductOfIn0(X13,X12,xR)))&~(sdtmndtplgtdt0(X12,xR,X13)))|iLess0(X13,X12))|(~(aElement0(X12))|~(aElement0(X13))))&((((((~(aElement0(X6))|~(aElement0(X7)))|~(aElement0(X8)))|~(aReductOfIn0(X7,X6,xR)))|~(aReductOfIn0(X8,X6,xR)))|((((aElement0(esk10_3(X6,X7,X8))&(X7=esk10_3(X6,X7,X8)|((aReductOfIn0(esk10_3(X6,X7,X8),X7,xR)|((aElement0(esk11_3(X6,X7,X8))&aReductOfIn0(esk11_3(X6,X7,X8),X7,xR))&sdtmndtplgtdt0(esk11_3(X6,X7,X8),xR,esk10_3(X6,X7,X8))))&sdtmndtplgtdt0(X7,xR,esk10_3(X6,X7,X8)))))&sdtmndtasgtdt0(X7,xR,esk10_3(X6,X7,X8)))&(X8=esk10_3(X6,X7,X8)|((aReductOfIn0(esk10_3(X6,X7,X8),X8,xR)|((aElement0(esk12_3(X6,X7,X8))&aReductOfIn0(esk12_3(X6,X7,X8),X8,xR))&sdtmndtplgtdt0(esk12_3(X6,X7,X8),xR,esk10_3(X6,X7,X8))))&sdtmndtplgtdt0(X8,xR,esk10_3(X6,X7,X8)))))&sdtmndtasgtdt0(X8,xR,esk10_3(X6,X7,X8))))&isLocallyConfluent0(xR)))&isTerminating0(xR)),inference(shift_quantors,[status(thm)],[97])).
% fof(99, plain,![X6]:![X7]:![X8]:![X12]:![X13]:![X14]:((((((((~(aElement0(X14))|~(aReductOfIn0(X14,X12,xR)))|~(sdtmndtplgtdt0(X14,xR,X13)))|iLess0(X13,X12))|(~(aElement0(X12))|~(aElement0(X13))))&((~(aReductOfIn0(X13,X12,xR))|iLess0(X13,X12))|(~(aElement0(X12))|~(aElement0(X13)))))&((~(sdtmndtplgtdt0(X12,xR,X13))|iLess0(X13,X12))|(~(aElement0(X12))|~(aElement0(X13)))))&((((((aElement0(esk10_3(X6,X7,X8))|((((~(aElement0(X6))|~(aElement0(X7)))|~(aElement0(X8)))|~(aReductOfIn0(X7,X6,xR)))|~(aReductOfIn0(X8,X6,xR))))&((((((aElement0(esk11_3(X6,X7,X8))|aReductOfIn0(esk10_3(X6,X7,X8),X7,xR))|X7=esk10_3(X6,X7,X8))|((((~(aElement0(X6))|~(aElement0(X7)))|~(aElement0(X8)))|~(aReductOfIn0(X7,X6,xR)))|~(aReductOfIn0(X8,X6,xR))))&(((aReductOfIn0(esk11_3(X6,X7,X8),X7,xR)|aReductOfIn0(esk10_3(X6,X7,X8),X7,xR))|X7=esk10_3(X6,X7,X8))|((((~(aElement0(X6))|~(aElement0(X7)))|~(aElement0(X8)))|~(aReductOfIn0(X7,X6,xR)))|~(aReductOfIn0(X8,X6,xR)))))&(((sdtmndtplgtdt0(esk11_3(X6,X7,X8),xR,esk10_3(X6,X7,X8))|aReductOfIn0(esk10_3(X6,X7,X8),X7,xR))|X7=esk10_3(X6,X7,X8))|((((~(aElement0(X6))|~(aElement0(X7)))|~(aElement0(X8)))|~(aReductOfIn0(X7,X6,xR)))|~(aReductOfIn0(X8,X6,xR)))))&((sdtmndtplgtdt0(X7,xR,esk10_3(X6,X7,X8))|X7=esk10_3(X6,X7,X8))|((((~(aElement0(X6))|~(aElement0(X7)))|~(aElement0(X8)))|~(aReductOfIn0(X7,X6,xR)))|~(aReductOfIn0(X8,X6,xR))))))&(sdtmndtasgtdt0(X7,xR,esk10_3(X6,X7,X8))|((((~(aElement0(X6))|~(aElement0(X7)))|~(aElement0(X8)))|~(aReductOfIn0(X7,X6,xR)))|~(aReductOfIn0(X8,X6,xR)))))&((((((aElement0(esk12_3(X6,X7,X8))|aReductOfIn0(esk10_3(X6,X7,X8),X8,xR))|X8=esk10_3(X6,X7,X8))|((((~(aElement0(X6))|~(aElement0(X7)))|~(aElement0(X8)))|~(aReductOfIn0(X7,X6,xR)))|~(aReductOfIn0(X8,X6,xR))))&(((aReductOfIn0(esk12_3(X6,X7,X8),X8,xR)|aReductOfIn0(esk10_3(X6,X7,X8),X8,xR))|X8=esk10_3(X6,X7,X8))|((((~(aElement0(X6))|~(aElement0(X7)))|~(aElement0(X8)))|~(aReductOfIn0(X7,X6,xR)))|~(aReductOfIn0(X8,X6,xR)))))&(((sdtmndtplgtdt0(esk12_3(X6,X7,X8),xR,esk10_3(X6,X7,X8))|aReductOfIn0(esk10_3(X6,X7,X8),X8,xR))|X8=esk10_3(X6,X7,X8))|((((~(aElement0(X6))|~(aElement0(X7)))|~(aElement0(X8)))|~(aReductOfIn0(X7,X6,xR)))|~(aReductOfIn0(X8,X6,xR)))))&((sdtmndtplgtdt0(X8,xR,esk10_3(X6,X7,X8))|X8=esk10_3(X6,X7,X8))|((((~(aElement0(X6))|~(aElement0(X7)))|~(aElement0(X8)))|~(aReductOfIn0(X7,X6,xR)))|~(aReductOfIn0(X8,X6,xR))))))&(sdtmndtasgtdt0(X8,xR,esk10_3(X6,X7,X8))|((((~(aElement0(X6))|~(aElement0(X7)))|~(aElement0(X8)))|~(aReductOfIn0(X7,X6,xR)))|~(aReductOfIn0(X8,X6,xR)))))&isLocallyConfluent0(xR)))&isTerminating0(xR)),inference(distribute,[status(thm)],[98])).
% cnf(114,plain,(iLess0(X1,X2)|~aElement0(X1)|~aElement0(X2)|~aReductOfIn0(X1,X2,xR)),inference(split_conjunct,[status(thm)],[99])).
% cnf(117,plain,(aElement0(xb)),inference(split_conjunct,[status(thm)],[12])).
% cnf(118,plain,(aElement0(xa)),inference(split_conjunct,[status(thm)],[12])).
% fof(119, plain,![X1]:![X2]:![X3]:(((((~(aElement0(X1))|~(aElement0(X2)))|~(aElement0(X3)))|((((~(X1=X2)&~(aReductOfIn0(X2,X1,xR)))&![X4]:((~(aElement0(X4))|~(aReductOfIn0(X4,X1,xR)))|~(sdtmndtplgtdt0(X4,xR,X2))))&~(sdtmndtplgtdt0(X1,xR,X2)))&~(sdtmndtasgtdt0(X1,xR,X2))))|((((~(X1=X3)&~(aReductOfIn0(X3,X1,xR)))&![X4]:((~(aElement0(X4))|~(aReductOfIn0(X4,X1,xR)))|~(sdtmndtplgtdt0(X4,xR,X3))))&~(sdtmndtplgtdt0(X1,xR,X3)))&~(sdtmndtasgtdt0(X1,xR,X3))))|(~(iLess0(X1,xa))|?[X4]:((((aElement0(X4)&(X2=X4|((aReductOfIn0(X4,X2,xR)|?[X5]:((aElement0(X5)&aReductOfIn0(X5,X2,xR))&sdtmndtplgtdt0(X5,xR,X4)))&sdtmndtplgtdt0(X2,xR,X4))))&sdtmndtasgtdt0(X2,xR,X4))&(X3=X4|((aReductOfIn0(X4,X3,xR)|?[X5]:((aElement0(X5)&aReductOfIn0(X5,X3,xR))&sdtmndtplgtdt0(X5,xR,X4)))&sdtmndtplgtdt0(X3,xR,X4))))&sdtmndtasgtdt0(X3,xR,X4)))),inference(fof_nnf,[status(thm)],[13])).
% fof(120, plain,![X6]:![X7]:![X8]:(((((~(aElement0(X6))|~(aElement0(X7)))|~(aElement0(X8)))|((((~(X6=X7)&~(aReductOfIn0(X7,X6,xR)))&![X9]:((~(aElement0(X9))|~(aReductOfIn0(X9,X6,xR)))|~(sdtmndtplgtdt0(X9,xR,X7))))&~(sdtmndtplgtdt0(X6,xR,X7)))&~(sdtmndtasgtdt0(X6,xR,X7))))|((((~(X6=X8)&~(aReductOfIn0(X8,X6,xR)))&![X10]:((~(aElement0(X10))|~(aReductOfIn0(X10,X6,xR)))|~(sdtmndtplgtdt0(X10,xR,X8))))&~(sdtmndtplgtdt0(X6,xR,X8)))&~(sdtmndtasgtdt0(X6,xR,X8))))|(~(iLess0(X6,xa))|?[X11]:((((aElement0(X11)&(X7=X11|((aReductOfIn0(X11,X7,xR)|?[X12]:((aElement0(X12)&aReductOfIn0(X12,X7,xR))&sdtmndtplgtdt0(X12,xR,X11)))&sdtmndtplgtdt0(X7,xR,X11))))&sdtmndtasgtdt0(X7,xR,X11))&(X8=X11|((aReductOfIn0(X11,X8,xR)|?[X13]:((aElement0(X13)&aReductOfIn0(X13,X8,xR))&sdtmndtplgtdt0(X13,xR,X11)))&sdtmndtplgtdt0(X8,xR,X11))))&sdtmndtasgtdt0(X8,xR,X11)))),inference(variable_rename,[status(thm)],[119])).
% fof(121, plain,![X6]:![X7]:![X8]:(((((~(aElement0(X6))|~(aElement0(X7)))|~(aElement0(X8)))|((((~(X6=X7)&~(aReductOfIn0(X7,X6,xR)))&![X9]:((~(aElement0(X9))|~(aReductOfIn0(X9,X6,xR)))|~(sdtmndtplgtdt0(X9,xR,X7))))&~(sdtmndtplgtdt0(X6,xR,X7)))&~(sdtmndtasgtdt0(X6,xR,X7))))|((((~(X6=X8)&~(aReductOfIn0(X8,X6,xR)))&![X10]:((~(aElement0(X10))|~(aReductOfIn0(X10,X6,xR)))|~(sdtmndtplgtdt0(X10,xR,X8))))&~(sdtmndtplgtdt0(X6,xR,X8)))&~(sdtmndtasgtdt0(X6,xR,X8))))|(~(iLess0(X6,xa))|((((aElement0(esk13_3(X6,X7,X8))&(X7=esk13_3(X6,X7,X8)|((aReductOfIn0(esk13_3(X6,X7,X8),X7,xR)|((aElement0(esk14_3(X6,X7,X8))&aReductOfIn0(esk14_3(X6,X7,X8),X7,xR))&sdtmndtplgtdt0(esk14_3(X6,X7,X8),xR,esk13_3(X6,X7,X8))))&sdtmndtplgtdt0(X7,xR,esk13_3(X6,X7,X8)))))&sdtmndtasgtdt0(X7,xR,esk13_3(X6,X7,X8)))&(X8=esk13_3(X6,X7,X8)|((aReductOfIn0(esk13_3(X6,X7,X8),X8,xR)|((aElement0(esk15_3(X6,X7,X8))&aReductOfIn0(esk15_3(X6,X7,X8),X8,xR))&sdtmndtplgtdt0(esk15_3(X6,X7,X8),xR,esk13_3(X6,X7,X8))))&sdtmndtplgtdt0(X8,xR,esk13_3(X6,X7,X8)))))&sdtmndtasgtdt0(X8,xR,esk13_3(X6,X7,X8))))),inference(skolemize,[status(esa)],[120])).
% fof(122, plain,![X6]:![X7]:![X8]:![X9]:![X10]:(((((((~(aElement0(X10))|~(aReductOfIn0(X10,X6,xR)))|~(sdtmndtplgtdt0(X10,xR,X8)))&(~(X6=X8)&~(aReductOfIn0(X8,X6,xR))))&~(sdtmndtplgtdt0(X6,xR,X8)))&~(sdtmndtasgtdt0(X6,xR,X8)))|((((((~(aElement0(X9))|~(aReductOfIn0(X9,X6,xR)))|~(sdtmndtplgtdt0(X9,xR,X7)))&(~(X6=X7)&~(aReductOfIn0(X7,X6,xR))))&~(sdtmndtplgtdt0(X6,xR,X7)))&~(sdtmndtasgtdt0(X6,xR,X7)))|((~(aElement0(X6))|~(aElement0(X7)))|~(aElement0(X8)))))|(~(iLess0(X6,xa))|((((aElement0(esk13_3(X6,X7,X8))&(X7=esk13_3(X6,X7,X8)|((aReductOfIn0(esk13_3(X6,X7,X8),X7,xR)|((aElement0(esk14_3(X6,X7,X8))&aReductOfIn0(esk14_3(X6,X7,X8),X7,xR))&sdtmndtplgtdt0(esk14_3(X6,X7,X8),xR,esk13_3(X6,X7,X8))))&sdtmndtplgtdt0(X7,xR,esk13_3(X6,X7,X8)))))&sdtmndtasgtdt0(X7,xR,esk13_3(X6,X7,X8)))&(X8=esk13_3(X6,X7,X8)|((aReductOfIn0(esk13_3(X6,X7,X8),X8,xR)|((aElement0(esk15_3(X6,X7,X8))&aReductOfIn0(esk15_3(X6,X7,X8),X8,xR))&sdtmndtplgtdt0(esk15_3(X6,X7,X8),xR,esk13_3(X6,X7,X8))))&sdtmndtplgtdt0(X8,xR,esk13_3(X6,X7,X8)))))&sdtmndtasgtdt0(X8,xR,esk13_3(X6,X7,X8))))),inference(shift_quantors,[status(thm)],[121])).
% fof(123, plain,![X6]:![X7]:![X8]:![X9]:![X10]:((((((((((((aElement0(esk13_3(X6,X7,X8))|~(iLess0(X6,xa)))|((((~(aElement0(X9))|~(aReductOfIn0(X9,X6,xR)))|~(sdtmndtplgtdt0(X9,xR,X7)))|((~(aElement0(X6))|~(aElement0(X7)))|~(aElement0(X8))))|((~(aElement0(X10))|~(aReductOfIn0(X10,X6,xR)))|~(sdtmndtplgtdt0(X10,xR,X8)))))&(((((((aElement0(esk14_3(X6,X7,X8))|aReductOfIn0(esk13_3(X6,X7,X8),X7,xR))|X7=esk13_3(X6,X7,X8))|~(iLess0(X6,xa)))|((((~(aElement0(X9))|~(aReductOfIn0(X9,X6,xR)))|~(sdtmndtplgtdt0(X9,xR,X7)))|((~(aElement0(X6))|~(aElement0(X7)))|~(aElement0(X8))))|((~(aElement0(X10))|~(aReductOfIn0(X10,X6,xR)))|~(sdtmndtplgtdt0(X10,xR,X8)))))&((((aReductOfIn0(esk14_3(X6,X7,X8),X7,xR)|aReductOfIn0(esk13_3(X6,X7,X8),X7,xR))|X7=esk13_3(X6,X7,X8))|~(iLess0(X6,xa)))|((((~(aElement0(X9))|~(aReductOfIn0(X9,X6,xR)))|~(sdtmndtplgtdt0(X9,xR,X7)))|((~(aElement0(X6))|~(aElement0(X7)))|~(aElement0(X8))))|((~(aElement0(X10))|~(aReductOfIn0(X10,X6,xR)))|~(sdtmndtplgtdt0(X10,xR,X8))))))&((((sdtmndtplgtdt0(esk14_3(X6,X7,X8),xR,esk13_3(X6,X7,X8))|aReductOfIn0(esk13_3(X6,X7,X8),X7,xR))|X7=esk13_3(X6,X7,X8))|~(iLess0(X6,xa)))|((((~(aElement0(X9))|~(aReductOfIn0(X9,X6,xR)))|~(sdtmndtplgtdt0(X9,xR,X7)))|((~(aElement0(X6))|~(aElement0(X7)))|~(aElement0(X8))))|((~(aElement0(X10))|~(aReductOfIn0(X10,X6,xR)))|~(sdtmndtplgtdt0(X10,xR,X8))))))&(((sdtmndtplgtdt0(X7,xR,esk13_3(X6,X7,X8))|X7=esk13_3(X6,X7,X8))|~(iLess0(X6,xa)))|((((~(aElement0(X9))|~(aReductOfIn0(X9,X6,xR)))|~(sdtmndtplgtdt0(X9,xR,X7)))|((~(aElement0(X6))|~(aElement0(X7)))|~(aElement0(X8))))|((~(aElement0(X10))|~(aReductOfIn0(X10,X6,xR)))|~(sdtmndtplgtdt0(X10,xR,X8)))))))&((sdtmndtasgtdt0(X7,xR,esk13_3(X6,X7,X8))|~(iLess0(X6,xa)))|((((~(aElement0(X9))|~(aReductOfIn0(X9,X6,xR)))|~(sdtmndtplgtdt0(X9,xR,X7)))|((~(aElement0(X6))|~(aElement0(X7)))|~(aElement0(X8))))|((~(aElement0(X10))|~(aReductOfIn0(X10,X6,xR)))|~(sdtmndtplgtdt0(X10,xR,X8))))))&(((((((aElement0(esk15_3(X6,X7,X8))|aReductOfIn0(esk13_3(X6,X7,X8),X8,xR))|X8=esk13_3(X6,X7,X8))|~(iLess0(X6,xa)))|((((~(aElement0(X9))|~(aReductOfIn0(X9,X6,xR)))|~(sdtmndtplgtdt0(X9,xR,X7)))|((~(aElement0(X6))|~(aElement0(X7)))|~(aElement0(X8))))|((~(aElement0(X10))|~(aReductOfIn0(X10,X6,xR)))|~(sdtmndtplgtdt0(X10,xR,X8)))))&((((aReductOfIn0(esk15_3(X6,X7,X8),X8,xR)|aReductOfIn0(esk13_3(X6,X7,X8),X8,xR))|X8=esk13_3(X6,X7,X8))|~(iLess0(X6,xa)))|((((~(aElement0(X9))|~(aReductOfIn0(X9,X6,xR)))|~(sdtmndtplgtdt0(X9,xR,X7)))|((~(aElement0(X6))|~(aElement0(X7)))|~(aElement0(X8))))|((~(aElement0(X10))|~(aReductOfIn0(X10,X6,xR)))|~(sdtmndtplgtdt0(X10,xR,X8))))))&((((sdtmndtplgtdt0(esk15_3(X6,X7,X8),xR,esk13_3(X6,X7,X8))|aReductOfIn0(esk13_3(X6,X7,X8),X8,xR))|X8=esk13_3(X6,X7,X8))|~(iLess0(X6,xa)))|((((~(aElement0(X9))|~(aReductOfIn0(X9,X6,xR)))|~(sdtmndtplgtdt0(X9,xR,X7)))|((~(aElement0(X6))|~(aElement0(X7)))|~(aElement0(X8))))|((~(aElement0(X10))|~(aReductOfIn0(X10,X6,xR)))|~(sdtmndtplgtdt0(X10,xR,X8))))))&(((sdtmndtplgtdt0(X8,xR,esk13_3(X6,X7,X8))|X8=esk13_3(X6,X7,X8))|~(iLess0(X6,xa)))|((((~(aElement0(X9))|~(aReductOfIn0(X9,X6,xR)))|~(sdtmndtplgtdt0(X9,xR,X7)))|((~(aElement0(X6))|~(aElement0(X7)))|~(aElement0(X8))))|((~(aElement0(X10))|~(aReductOfIn0(X10,X6,xR)))|~(sdtmndtplgtdt0(X10,xR,X8)))))))&((sdtmndtasgtdt0(X8,xR,esk13_3(X6,X7,X8))|~(iLess0(X6,xa)))|((((~(aElement0(X9))|~(aReductOfIn0(X9,X6,xR)))|~(sdtmndtplgtdt0(X9,xR,X7)))|((~(aElement0(X6))|~(aElement0(X7)))|~(aElement0(X8))))|((~(aElement0(X10))|~(aReductOfIn0(X10,X6,xR)))|~(sdtmndtplgtdt0(X10,xR,X8))))))&(((((((aElement0(esk13_3(X6,X7,X8))|~(iLess0(X6,xa)))|((~(X6=X7)|((~(aElement0(X6))|~(aElement0(X7)))|~(aElement0(X8))))|((~(aElement0(X10))|~(aReductOfIn0(X10,X6,xR)))|~(sdtmndtplgtdt0(X10,xR,X8)))))&(((((((aElement0(esk14_3(X6,X7,X8))|aReductOfIn0(esk13_3(X6,X7,X8),X7,xR))|X7=esk13_3(X6,X7,X8))|~(iLess0(X6,xa)))|((~(X6=X7)|((~(aElement0(X6))|~(aElement0(X7)))|~(aElement0(X8))))|((~(aElement0(X10))|~(aReductOfIn0(X10,X6,xR)))|~(sdtmndtplgtdt0(X10,xR,X8)))))&((((aReductOfIn0(esk14_3(X6,X7,X8),X7,xR)|aReductOfIn0(esk13_3(X6,X7,X8),X7,xR))|X7=esk13_3(X6,X7,X8))|~(iLess0(X6,xa)))|((~(X6=X7)|((~(aElement0(X6))|~(aElement0(X7)))|~(aElement0(X8))))|((~(aElement0(X10))|~(aReductOfIn0(X10,X6,xR)))|~(sdtmndtplgtdt0(X10,xR,X8))))))&((((sdtmndtplgtdt0(esk14_3(X6,X7,X8),xR,esk13_3(X6,X7,X8))|aReductOfIn0(esk13_3(X6,X7,X8),X7,xR))|X7=esk13_3(X6,X7,X8))|~(iLess0(X6,xa)))|((~(X6=X7)|((~(aElement0(X6))|~(aElement0(X7)))|~(aElement0(X8))))|((~(aElement0(X10))|~(aReductOfIn0(X10,X6,xR)))|~(sdtmndtplgtdt0(X10,xR,X8))))))&(((sdtmndtplgtdt0(X7,xR,esk13_3(X6,X7,X8))|X7=esk13_3(X6,X7,X8))|~(iLess0(X6,xa)))|((~(X6=X7)|((~(aElement0(X6))|~(aElement0(X7)))|~(aElement0(X8))))|((~(aElement0(X10))|~(aReductOfIn0(X10,X6,xR)))|~(sdtmndtplgtdt0(X10,xR,X8)))))))&((sdtmndtasgtdt0(X7,xR,esk13_3(X6,X7,X8))|~(iLess0(X6,xa)))|((~(X6=X7)|((~(aElement0(X6))|~(aElement0(X7)))|~(aElement0(X8))))|((~(aElement0(X10))|~(aReductOfIn0(X10,X6,xR)))|~(sdtmndtplgtdt0(X10,xR,X8))))))&(((((((aElement0(esk15_3(X6,X7,X8))|aReductOfIn0(esk13_3(X6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ndtplgtdt0(X8,xR,esk13_3(X6,X7,X8))|X8=esk13_3(X6,X7,X8))|~(iLess0(X6,xa)))|((~(X6=X7)|((~(aElement0(X6))|~(aElement0(X7)))|~(aElement0(X8))))|~(sdtmndtasgtdt0(X6,xR,X8))))))&((sdtmndtasgtdt0(X8,xR,esk13_3(X6,X7,X8))|~(iLess0(X6,xa)))|((~(X6=X7)|((~(aElement0(X6))|~(aElement0(X7)))|~(aElement0(X8))))|~(sdtmndtasgtdt0(X6,xR,X8)))))&((((((aElement0(esk13_3(X6,X7,X8))|~(iLess0(X6,xa)))|((~(aReductOfIn0(X7,X6,xR))|((~(aElement0(X6))|~(aElement0(X7)))|~(aElement0(X8))))|~(sdtmndtasgtdt0(X6,xR,X8))))&(((((((aElement0(esk14_3(X6,X7,X8))|aReductOfIn0(esk13_3(X6,X7,X8),X7,xR))|X7=esk13_3(X6,X7,X8))|~(iLess0(X6,xa)))|((~(aReductOfIn0(X7,X6,xR))|((~(aElement0(X6))|~(aElement0(X7)))|~(aElement0(X8))))|~(sdtmndtasgtdt0(X6,xR,X8))))&((((aReductOfIn0(esk14_3(X6,X7,X8),X7,xR)|aReductOfIn0(esk13_3(X6,X7,X8),X7,xR))|X7=esk13_3(X6,X7,X8))|~(iLess0(X6,xa)))|((~(aReductOfIn0(X7,X6,xR))|((~(aElement0(X6))|~(aElement0(X7)))|~(aElement0(X8))))|~(sdtmndtasgtdt0(X6,xR,X8)))))&((((sdtmndtplgtdt0(esk14_3(X6,X7,X8),xR,esk13_3(X6,X7,X8))|aReductOfIn0(esk13_3(X6,X7,X8),X7,xR))|X7=esk13_3(X6,X7,X8))|~(iLess0(X6,xa)))|((~(aReductOfIn0(X7,X6,xR))|((~(aElement0(X6))|~(aElement0(X7)))|~(aElement0(X8))))|~(sdtmndtasgtdt0(X6,xR,X8)))))&(((sdtmndtplgtdt0(X7,xR,esk13_3(X6,X7,X8))|X7=esk13_3(X6,X7,X8))|~(iLess0(X6,xa)))|((~(aReductOfIn0(X7,X6,xR))|((~(aElement0(X6))|~(aElement0(X7)))|~(aElement0(X8))))|~(sdtmndtasgtdt0(X6,xR,X8))))))&((sdtmndtasgtdt0(X7,xR,esk13_3(X6,X7,X8))|~(iLess0(X6,xa)))|((~(aReductOfIn0(X7,X6,xR))|((~(aElement0(X6))|~(aElement0(X7)))|~(aElement0(X8))))|~(sdtmndtasgtdt0(X6,xR,X8)))))&(((((((aElement0(esk15_3(X6,X7,X8))|aReductOfIn0(esk13_3(X6,X7,X8),X8,xR))|X8=esk13_3(X6,X7,X8))|~(iLess0(X6,xa)))|((~(aReductOfIn0(X7,X6,xR))|((~(aElement0(X6))|~(aElement0(X7)))|~(aElement0(X8))))|~(sdtmndtasgtdt0(X6,xR,X8))))&((((aReductOfIn0(esk15_3(X6,X7,X8),X8,xR)|aReductOfIn0(esk13_3(X6,X7,X8),X8,xR))|X8=esk13_3(X6,X7,X8))|~(iLess0(X6,xa)))|((~(aReductOfIn0(X7,X6,xR))|((~(aElement0(X6))|~(aElement0(X7)))|~(aElement0(X8))))|~(sdtmndtasgtdt0(X6,xR,X8)))))&((((sdtmndtplgtdt0(esk15_3(X6,X7,X8),xR,esk13_3(X6,X7,X8))|aReductOfIn0(esk13_3(X6,X7,X8),X8,xR))|X8=esk13_3(X6,X7,X8))|~(iLess0(X6,xa)))|((~(aReductOfIn0(X7,X6,xR))|((~(aElement0(X6))|~(aElement0(X7)))|~(aElement0(X8))))|~(sdtmndtasgtdt0(X6,xR,X8)))))&(((sdtmndtplgtdt0(X8,xR,esk13_3(X6,X7,X8))|X8=esk13_3(X6,X7,X8))|~(iLess0(X6,xa)))|((~(aReductOfIn0(X7,X6,xR))|((~(aElement0(X6))|~(aElement0(X7)))|~(aElement0(X8))))|~(sdtmndtasgtdt0(X6,xR,X8))))))&((sdtmndtasgtdt0(X8,xR,esk13_3(X6,X7,X8))|~(iLess0(X6,xa)))|((~(aReductOfIn0(X7,X6,xR))|((~(aElement0(X6))|~(aElement0(X7)))|~(aElement0(X8))))|~(sdtmndtasgtdt0(X6,xR,X8)))))))&((((((aElement0(esk13_3(X6,X7,X8))|~(iLess0(X6,xa)))|((~(sdtmndtplgtdt0(X6,xR,X7))|((~(aElement0(X6))|~(aElement0(X7)))|~(aElement0(X8))))|~(sdtmndtasgtdt0(X6,xR,X8))))&(((((((aElement0(esk14_3(X6,X7,X8))|aReductOfIn0(esk13_3(X6,X7,X8),X7,xR))|X7=esk13_3(X6,X7,X8))|~(iLess0(X6,xa)))|((~(sdtmndtplgtdt0(X6,xR,X7))|((~(aElement0(X6))|~(aElement0(X7)))|~(aElement0(X8))))|~(sdtmndtasgtdt0(X6,xR,X8))))&((((aReductOfIn0(esk14_3(X6,X7,X8),X7,xR)|aReductOfIn0(esk13_3(X6,X7,X8),X7,xR))|X7=esk13_3(X6,X7,X8))|~(iLess0(X6,xa)))|((~(sdtmndtplgtdt0(X6,xR,X7))|((~(aElement0(X6))|~(aElement0(X7)))|~(aElement0(X8))))|~(sdtmndtasgtdt0(X6,xR,X8)))))&((((sdtmndtplgtdt0(esk14_3(X6,X7,X8),xR,esk13_3(X6,X7,X8))|aReductOfIn0(esk13_3(X6,X7,X8),X7,xR))|X7=esk13_3(X6,X7,X8))|~(iLess0(X6,xa)))|((~(sdtmndtplgtdt0(X6,xR,X7))|((~(aElement0(X6))|~(aElement0(X7)))|~(aElement0(X8))))|~(sdtmndtasgtdt0(X6,xR,X8)))))&(((sdtmndtplgtdt0(X7,xR,esk13_3(X6,X7,X8))|X7=esk13_3(X6,X7,X8))|~(iLess0(X6,xa)))|((~(sdtmndtplgtdt0(X6,xR,X7))|((~(aElement0(X6))|~(aElement0(X7)))|~(aElement0(X8))))|~(sdtmndtasgtdt0(X6,xR,X8))))))&((sdtmndtasgtdt0(X7,xR,esk13_3(X6,X7,X8))|~(iLess0(X6,xa)))|((~(sdtmndtplgtdt0(X6,xR,X7))|((~(aElement0(X6))|~(aElement0(X7)))|~(aElement0(X8))))|~(sdtmndtasgtdt0(X6,xR,X8)))))&(((((((aElement0(esk15_3(X6,X7,X8))|aReductOfIn0(esk13_3(X6,X7,X8),X8,xR))|X8=esk13_3(X6,X7,X8))|~(iLess0(X6,xa)))|((~(sdtmndtplgtdt0(X6,xR,X7))|((~(aElement0(X6))|~(aElement0(X7)))|~(aElement0(X8))))|~(sdtmndtasgtdt0(X6,xR,X8))))&((((aReductOfIn0(esk15_3(X6,X7,X8),X8,xR)|aReductOfIn0(esk13_3(X6,X7,X8),X8,xR))|X8=esk13_3(X6,X7,X8))|~(iLess0(X6,xa)))|((~(sdtmndtplgtdt0(X6,xR,X7))|((~(aElement0(X6))|~(aElement0(X7)))|~(aElement0(X8))))|~(sdtmndtasgtdt0(X6,xR,X8)))))&((((sdtmndtplgtdt0(esk15_3(X6,X7,X8),xR,esk13_3(X6,X7,X8))|aReductOfIn0(esk13_3(X6,X7,X8),X8,xR))|X8=esk13_3(X6,X7,X8))|~(iLess0(X6,xa)))|((~(sdtmndtplgtdt0(X6,xR,X7))|((~(aElement0(X6))|~(aElement0(X7)))|~(aElement0(X8))))|~(sdtmndtasgtdt0(X6,xR,X8)))))&(((sdtmndtplgtdt0(X8,xR,esk13_3(X6,X7,X8))|X8=esk13_3(X6,X7,X8))|~(iLess0(X6,xa)))|((~(sdtmndtplgtdt0(X6,xR,X7))|((~(aElement0(X6))|~(aElement0(X7)))|~(aElement0(X8))))|~(sdtmndtasgtdt0(X6,xR,X8))))))&((sdtmndtasgtdt0(X8,xR,esk13_3(X6,X7,X8))|~(iLess0(X6,xa)))|((~(sdtmndtplgtdt0(X6,xR,X7))|((~(aElement0(X6))|~(aElement0(X7)))|~(aElement0(X8))))|~(sdtmndtasgtdt0(X6,xR,X8))))))&((((((aElement0(esk13_3(X6,X7,X8))|~(iLess0(X6,xa)))|((~(sdtmndtasgtdt0(X6,xR,X7))|((~(aElement0(X6))|~(aElement0(X7)))|~(aElement0(X8))))|~(sdtmndtasgtdt0(X6,xR,X8))))&(((((((aElement0(esk14_3(X6,X7,X8))|aReductOfIn0(esk13_3(X6,X7,X8),X7,xR))|X7=esk13_3(X6,X7,X8))|~(iLess0(X6,xa)))|((~(sdtmndtasgtdt0(X6,xR,X7))|((~(aElement0(X6))|~(aElement0(X7)))|~(aElement0(X8))))|~(sdtmndtasgtdt0(X6,xR,X8))))&((((aReductOfIn0(esk14_3(X6,X7,X8),X7,xR)|aReductOfIn0(esk13_3(X6,X7,X8),X7,xR))|X7=esk13_3(X6,X7,X8))|~(iLess0(X6,xa)))|((~(sdtmndtasgtdt0(X6,xR,X7))|((~(aElement0(X6))|~(aElement0(X7)))|~(aElement0(X8))))|~(sdtmndtasgtdt0(X6,xR,X8)))))&((((sdtmndtplgtdt0(esk14_3(X6,X7,X8),xR,esk13_3(X6,X7,X8))|aReductOfIn0(esk13_3(X6,X7,X8),X7,xR))|X7=esk13_3(X6,X7,X8))|~(iLess0(X6,xa)))|((~(sdtmndtasgtdt0(X6,xR,X7))|((~(aElement0(X6))|~(aElement0(X7)))|~(aElement0(X8))))|~(sdtmndtasgtdt0(X6,xR,X8)))))&(((sdtmndtplgtdt0(X7,xR,esk13_3(X6,X7,X8))|X7=esk13_3(X6,X7,X8))|~(iLess0(X6,xa)))|((~(sdtmndtasgtdt0(X6,xR,X7))|((~(aElement0(X6))|~(aElement0(X7)))|~(aElement0(X8))))|~(sdtmndtasgtdt0(X6,xR,X8))))))&((sdtmndtasgtdt0(X7,xR,esk13_3(X6,X7,X8))|~(iLess0(X6,xa)))|((~(sdtmndtasgtdt0(X6,xR,X7))|((~(aElement0(X6))|~(aElement0(X7)))|~(aElement0(X8))))|~(sdtmndtasgtdt0(X6,xR,X8)))))&(((((((aElement0(esk15_3(X6,X7,X8))|aReductOfIn0(esk13_3(X6,X7,X8),X8,xR))|X8=esk13_3(X6,X7,X8))|~(iLess0(X6,xa)))|((~(sdtmndtasgtdt0(X6,xR,X7))|((~(aElement0(X6))|~(aElement0(X7)))|~(aElement0(X8))))|~(sdtmndtasgtdt0(X6,xR,X8))))&((((aReductOfIn0(esk15_3(X6,X7,X8),X8,xR)|aReductOfIn0(esk13_3(X6,X7,X8),X8,xR))|X8=esk13_3(X6,X7,X8))|~(iLess0(X6,xa)))|((~(sdtmndtasgtdt0(X6,xR,X7))|((~(aElement0(X6))|~(aElement0(X7)))|~(aElement0(X8))))|~(sdtmndtasgtdt0(X6,xR,X8)))))&((((sdtmndtplgtdt0(esk15_3(X6,X7,X8),xR,esk13_3(X6,X7,X8))|aReductOfIn0(esk13_3(X6,X7,X8),X8,xR))|X8=esk13_3(X6,X7,X8))|~(iLess0(X6,xa)))|((~(sdtmndtasgtdt0(X6,xR,X7))|((~(aElement0(X6))|~(aElement0(X7)))|~(aElement0(X8))))|~(sdtmndtasgtdt0(X6,xR,X8)))))&(((sdtmndtplgtdt0(X8,xR,esk13_3(X6,X7,X8))|X8=esk13_3(X6,X7,X8))|~(iLess0(X6,xa)))|((~(sdtmndtasgtdt0(X6,xR,X7))|((~(aElement0(X6))|~(aElement0(X7)))|~(aElement0(X8))))|~(sdtmndtasgtdt0(X6,xR,X8))))))&((sdtmndtasgtdt0(X8,xR,esk13_3(X6,X7,X8))|~(iLess0(X6,xa)))|((~(sdtmndtasgtdt0(X6,xR,X7))|((~(aElement0(X6))|~(aElement0(X7)))|~(aElement0(X8))))|~(sdtmndtasgtdt0(X6,xR,X8))))))),inference(distribute,[status(thm)],[122])).
% cnf(129,plain,(sdtmndtasgtdt0(X3,xR,esk13_3(X1,X3,X2))|~sdtmndtasgtdt0(X1,xR,X2)|~aElement0(X2)|~aElement0(X3)|~aElement0(X1)|~sdtmndtasgtdt0(X1,xR,X3)|~iLess0(X1,xa)),inference(split_conjunct,[status(thm)],[123])).
% cnf(138,plain,(X2=esk13_3(X1,X3,X2)|aReductOfIn0(esk13_3(X1,X3,X2),X2,xR)|aReductOfIn0(esk15_3(X1,X3,X2),X2,xR)|~sdtmndtasgtdt0(X1,xR,X2)|~aElement0(X2)|~aElement0(X3)|~aElement0(X1)|~sdtmndtplgtdt0(X1,xR,X3)|~iLess0(X1,xa)),inference(split_conjunct,[status(thm)],[123])).
% fof(410, plain,(((aElement0(xu)&aReductOfIn0(xu,xa,xR))&(xu=xb|((aReductOfIn0(xb,xu,xR)|?[X2]:((aElement0(X2)&aReductOfIn0(X2,xu,xR))&sdtmndtplgtdt0(X2,xR,xb)))&sdtmndtplgtdt0(xu,xR,xb))))&sdtmndtasgtdt0(xu,xR,xb)),inference(variable_rename,[status(thm)],[15])).
% fof(411, plain,(((aElement0(xu)&aReductOfIn0(xu,xa,xR))&(xu=xb|((aReductOfIn0(xb,xu,xR)|((aElement0(esk18_0)&aReductOfIn0(esk18_0,xu,xR))&sdtmndtplgtdt0(esk18_0,xR,xb)))&sdtmndtplgtdt0(xu,xR,xb))))&sdtmndtasgtdt0(xu,xR,xb)),inference(skolemize,[status(esa)],[410])).
% fof(412, plain,(((aElement0(xu)&aReductOfIn0(xu,xa,xR))&(((((aElement0(esk18_0)|aReductOfIn0(xb,xu,xR))|xu=xb)&((aReductOfIn0(esk18_0,xu,xR)|aReductOfIn0(xb,xu,xR))|xu=xb))&((sdtmndtplgtdt0(esk18_0,xR,xb)|aReductOfIn0(xb,xu,xR))|xu=xb))&(sdtmndtplgtdt0(xu,xR,xb)|xu=xb)))&sdtmndtasgtdt0(xu,xR,xb)),inference(distribute,[status(thm)],[411])).
% cnf(413,plain,(sdtmndtasgtdt0(xu,xR,xb)),inference(split_conjunct,[status(thm)],[412])).
% cnf(414,plain,(xu=xb|sdtmndtplgtdt0(xu,xR,xb)),inference(split_conjunct,[status(thm)],[412])).
% cnf(418,plain,(aReductOfIn0(xu,xa,xR)),inference(split_conjunct,[status(thm)],[412])).
% cnf(419,plain,(aElement0(xu)),inference(split_conjunct,[status(thm)],[412])).
% fof(430, plain,((((aElement0(xw)&(xu=xw|((aReductOfIn0(xw,xu,xR)|?[X2]:((aElement0(X2)&aReductOfIn0(X2,xu,xR))&sdtmndtplgtdt0(X2,xR,xw)))&sdtmndtplgtdt0(xu,xR,xw))))&sdtmndtasgtdt0(xu,xR,xw))&(xv=xw|((aReductOfIn0(xw,xv,xR)|?[X3]:((aElement0(X3)&aReductOfIn0(X3,xv,xR))&sdtmndtplgtdt0(X3,xR,xw)))&sdtmndtplgtdt0(xv,xR,xw))))&sdtmndtasgtdt0(xv,xR,xw)),inference(variable_rename,[status(thm)],[17])).
% fof(431, plain,((((aElement0(xw)&(xu=xw|((aReductOfIn0(xw,xu,xR)|((aElement0(esk20_0)&aReductOfIn0(esk20_0,xu,xR))&sdtmndtplgtdt0(esk20_0,xR,xw)))&sdtmndtplgtdt0(xu,xR,xw))))&sdtmndtasgtdt0(xu,xR,xw))&(xv=xw|((aReductOfIn0(xw,xv,xR)|((aElement0(esk21_0)&aReductOfIn0(esk21_0,xv,xR))&sdtmndtplgtdt0(esk21_0,xR,xw)))&sdtmndtplgtdt0(xv,xR,xw))))&sdtmndtasgtdt0(xv,xR,xw)),inference(skolemize,[status(esa)],[430])).
% fof(432, plain,((((aElement0(xw)&(((((aElement0(esk20_0)|aReductOfIn0(xw,xu,xR))|xu=xw)&((aReductOfIn0(esk20_0,xu,xR)|aReductOfIn0(xw,xu,xR))|xu=xw))&((sdtmndtplgtdt0(esk20_0,xR,xw)|aReductOfIn0(xw,xu,xR))|xu=xw))&(sdtmndtplgtdt0(xu,xR,xw)|xu=xw)))&sdtmndtasgtdt0(xu,xR,xw))&(((((aElement0(esk21_0)|aReductOfIn0(xw,xv,xR))|xv=xw)&((aReductOfIn0(esk21_0,xv,xR)|aReductOfIn0(xw,xv,xR))|xv=xw))&((sdtmndtplgtdt0(esk21_0,xR,xw)|aReductOfIn0(xw,xv,xR))|xv=xw))&(sdtmndtplgtdt0(xv,xR,xw)|xv=xw)))&sdtmndtasgtdt0(xv,xR,xw)),inference(distribute,[status(thm)],[431])).
% cnf(438,plain,(sdtmndtasgtdt0(xu,xR,xw)),inference(split_conjunct,[status(thm)],[432])).
% cnf(443,plain,(aElement0(xw)),inference(split_conjunct,[status(thm)],[432])).
% fof(444, plain,((((aElement0(xd)&(xw=xd|((aReductOfIn0(xd,xw,xR)|?[X1]:((aElement0(X1)&aReductOfIn0(X1,xw,xR))&sdtmndtplgtdt0(X1,xR,xd)))&sdtmndtplgtdt0(xw,xR,xd))))&sdtmndtasgtdt0(xw,xR,xd))&![X1]:~(aReductOfIn0(X1,xd,xR)))&aNormalFormOfIn0(xd,xw,xR)),inference(fof_nnf,[status(thm)],[18])).
% fof(445, plain,((((aElement0(xd)&(xw=xd|((aReductOfIn0(xd,xw,xR)|?[X2]:((aElement0(X2)&aReductOfIn0(X2,xw,xR))&sdtmndtplgtdt0(X2,xR,xd)))&sdtmndtplgtdt0(xw,xR,xd))))&sdtmndtasgtdt0(xw,xR,xd))&![X3]:~(aReductOfIn0(X3,xd,xR)))&aNormalFormOfIn0(xd,xw,xR)),inference(variable_rename,[status(thm)],[444])).
% fof(446, plain,((((aElement0(xd)&(xw=xd|((aReductOfIn0(xd,xw,xR)|((aElement0(esk22_0)&aReductOfIn0(esk22_0,xw,xR))&sdtmndtplgtdt0(esk22_0,xR,xd)))&sdtmndtplgtdt0(xw,xR,xd))))&sdtmndtasgtdt0(xw,xR,xd))&![X3]:~(aReductOfIn0(X3,xd,xR)))&aNormalFormOfIn0(xd,xw,xR)),inference(skolemize,[status(esa)],[445])).
% fof(447, plain,![X3]:((~(aReductOfIn0(X3,xd,xR))&((aElement0(xd)&(xw=xd|((aReductOfIn0(xd,xw,xR)|((aElement0(esk22_0)&aReductOfIn0(esk22_0,xw,xR))&sdtmndtplgtdt0(esk22_0,xR,xd)))&sdtmndtplgtdt0(xw,xR,xd))))&sdtmndtasgtdt0(xw,xR,xd)))&aNormalFormOfIn0(xd,xw,xR)),inference(shift_quantors,[status(thm)],[446])).
% fof(448, plain,![X3]:((~(aReductOfIn0(X3,xd,xR))&((aElement0(xd)&(((((aElement0(esk22_0)|aReductOfIn0(xd,xw,xR))|xw=xd)&((aReductOfIn0(esk22_0,xw,xR)|aReductOfIn0(xd,xw,xR))|xw=xd))&((sdtmndtplgtdt0(esk22_0,xR,xd)|aReductOfIn0(xd,xw,xR))|xw=xd))&(sdtmndtplgtdt0(xw,xR,xd)|xw=xd)))&sdtmndtasgtdt0(xw,xR,xd)))&aNormalFormOfIn0(xd,xw,xR)),inference(distribute,[status(thm)],[447])).
% cnf(450,plain,(sdtmndtasgtdt0(xw,xR,xd)),inference(split_conjunct,[status(thm)],[448])).
% cnf(455,plain,(aElement0(xd)),inference(split_conjunct,[status(thm)],[448])).
% cnf(456,plain,(~aReductOfIn0(X1,xd,xR)),inference(split_conjunct,[status(thm)],[448])).
% fof(479, negated_conjecture,((((~(xb=xd)&~(aReductOfIn0(xd,xb,xR)))&![X1]:((~(aElement0(X1))|~(aReductOfIn0(X1,xb,xR)))|~(sdtmndtplgtdt0(X1,xR,xd))))&~(sdtmndtplgtdt0(xb,xR,xd)))&~(sdtmndtasgtdt0(xb,xR,xd))),inference(fof_nnf,[status(thm)],[25])).
% fof(480, negated_conjecture,((((~(xb=xd)&~(aReductOfIn0(xd,xb,xR)))&![X2]:((~(aElement0(X2))|~(aReductOfIn0(X2,xb,xR)))|~(sdtmndtplgtdt0(X2,xR,xd))))&~(sdtmndtplgtdt0(xb,xR,xd)))&~(sdtmndtasgtdt0(xb,xR,xd))),inference(variable_rename,[status(thm)],[479])).
% fof(481, negated_conjecture,![X2]:(((((~(aElement0(X2))|~(aReductOfIn0(X2,xb,xR)))|~(sdtmndtplgtdt0(X2,xR,xd)))&(~(xb=xd)&~(aReductOfIn0(xd,xb,xR))))&~(sdtmndtplgtdt0(xb,xR,xd)))&~(sdtmndtasgtdt0(xb,xR,xd))),inference(shift_quantors,[status(thm)],[480])).
% cnf(482,negated_conjecture,(~sdtmndtasgtdt0(xb,xR,xd)),inference(split_conjunct,[status(thm)],[481])).
% cnf(527,plain,(iLess0(xu,xa)|~aElement0(xa)|~aElement0(xu)),inference(spm,[status(thm)],[114,418,theory(equality)])).
% cnf(539,plain,(iLess0(xu,xa)|$false|~aElement0(xu)),inference(rw,[status(thm)],[527,118,theory(equality)])).
% cnf(540,plain,(iLess0(xu,xa)|$false|$false),inference(rw,[status(thm)],[539,419,theory(equality)])).
% cnf(541,plain,(iLess0(xu,xa)),inference(cn,[status(thm)],[540,theory(equality)])).
% cnf(1261,plain,(sdtmndtasgtdt0(X1,xR,xd)|~sdtmndtasgtdt0(X1,xR,xw)|~aRewritingSystem0(xR)|~aElement0(xw)|~aElement0(xd)|~aElement0(X1)),inference(spm,[status(thm)],[55,450,theory(equality)])).
% cnf(1266,plain,(sdtmndtasgtdt0(X1,xR,xd)|~sdtmndtasgtdt0(X1,xR,xw)|$false|~aElement0(xw)|~aElement0(xd)|~aElement0(X1)),inference(rw,[status(thm)],[1261,94,theory(equality)])).
% cnf(1267,plain,(sdtmndtasgtdt0(X1,xR,xd)|~sdtmndtasgtdt0(X1,xR,xw)|$false|$false|~aElement0(xd)|~aElement0(X1)),inference(rw,[status(thm)],[1266,443,theory(equality)])).
% cnf(1268,plain,(sdtmndtasgtdt0(X1,xR,xd)|~sdtmndtasgtdt0(X1,xR,xw)|$false|$false|$false|~aElement0(X1)),inference(rw,[status(thm)],[1267,455,theory(equality)])).
% cnf(1269,plain,(sdtmndtasgtdt0(X1,xR,xd)|~sdtmndtasgtdt0(X1,xR,xw)|~aElement0(X1)),inference(cn,[status(thm)],[1268,theory(equality)])).
% cnf(3359,plain,(esk13_3(xu,X1,X2)=X2|aReductOfIn0(esk15_3(xu,X1,X2),X2,xR)|aReductOfIn0(esk13_3(xu,X1,X2),X2,xR)|~sdtmndtasgtdt0(xu,xR,X2)|~sdtmndtplgtdt0(xu,xR,X1)|~aElement0(X1)|~aElement0(X2)|~aElement0(xu)),inference(spm,[status(thm)],[138,541,theory(equality)])).
% cnf(3436,plain,(sdtmndtasgtdt0(X1,xR,esk13_3(xu,X1,X2))|~sdtmndtasgtdt0(xu,xR,X1)|~sdtmndtasgtdt0(xu,xR,X2)|~aElement0(X1)|~aElement0(X2)|~aElement0(xu)),inference(spm,[status(thm)],[129,541,theory(equality)])).
% cnf(3615,plain,(esk13_3(xu,X1,X2)=X2|aReductOfIn0(esk15_3(xu,X1,X2),X2,xR)|aReductOfIn0(esk13_3(xu,X1,X2),X2,xR)|~sdtmndtasgtdt0(xu,xR,X2)|~sdtmndtplgtdt0(xu,xR,X1)|~aElement0(X1)|~aElement0(X2)|$false),inference(rw,[status(thm)],[3359,419,theory(equality)])).
% cnf(3616,plain,(esk13_3(xu,X1,X2)=X2|aReductOfIn0(esk15_3(xu,X1,X2),X2,xR)|aReductOfIn0(esk13_3(xu,X1,X2),X2,xR)|~sdtmndtasgtdt0(xu,xR,X2)|~sdtmndtplgtdt0(xu,xR,X1)|~aElement0(X1)|~aElement0(X2)),inference(cn,[status(thm)],[3615,theory(equality)])).
% cnf(3769,plain,(sdtmndtasgtdt0(X1,xR,esk13_3(xu,X1,X2))|~sdtmndtasgtdt0(xu,xR,X1)|~sdtmndtasgtdt0(xu,xR,X2)|~aElement0(X1)|~aElement0(X2)|$false),inference(rw,[status(thm)],[3436,419,theory(equality)])).
% cnf(3770,plain,(sdtmndtasgtdt0(X1,xR,esk13_3(xu,X1,X2))|~sdtmndtasgtdt0(xu,xR,X1)|~sdtmndtasgtdt0(xu,xR,X2)|~aElement0(X1)|~aElement0(X2)),inference(cn,[status(thm)],[3769,theory(equality)])).
% cnf(5298,plain,(sdtmndtasgtdt0(xu,xR,xd)|~aElement0(xu)),inference(spm,[status(thm)],[1269,438,theory(equality)])).
% cnf(5301,plain,(sdtmndtasgtdt0(xu,xR,xd)|$false),inference(rw,[status(thm)],[5298,419,theory(equality)])).
% cnf(5302,plain,(sdtmndtasgtdt0(xu,xR,xd)),inference(cn,[status(thm)],[5301,theory(equality)])).
% cnf(174221,plain,(esk13_3(xu,X1,xd)=xd|aReductOfIn0(esk13_3(xu,X1,xd),xd,xR)|aReductOfIn0(esk15_3(xu,X1,xd),xd,xR)|~sdtmndtplgtdt0(xu,xR,X1)|~aElement0(X1)|~aElement0(xd)),inference(spm,[status(thm)],[3616,5302,theory(equality)])).
% cnf(174288,plain,(esk13_3(xu,X1,xd)=xd|aReductOfIn0(esk13_3(xu,X1,xd),xd,xR)|aReductOfIn0(esk15_3(xu,X1,xd),xd,xR)|~sdtmndtplgtdt0(xu,xR,X1)|~aElement0(X1)|$false),inference(rw,[status(thm)],[174221,455,theory(equality)])).
% cnf(174289,plain,(esk13_3(xu,X1,xd)=xd|aReductOfIn0(esk13_3(xu,X1,xd),xd,xR)|aReductOfIn0(esk15_3(xu,X1,xd),xd,xR)|~sdtmndtplgtdt0(xu,xR,X1)|~aElement0(X1)),inference(cn,[status(thm)],[174288,theory(equality)])).
% cnf(174290,plain,(esk13_3(xu,X1,xd)=xd|aReductOfIn0(esk15_3(xu,X1,xd),xd,xR)|~sdtmndtplgtdt0(xu,xR,X1)|~aElement0(X1)),inference(sr,[status(thm)],[174289,456,theory(equality)])).
% cnf(174291,plain,(esk13_3(xu,X1,xd)=xd|~sdtmndtplgtdt0(xu,xR,X1)|~aElement0(X1)),inference(sr,[status(thm)],[174290,456,theory(equality)])).
% cnf(174357,plain,(esk13_3(xu,xb,xd)=xd|xb=xu|~aElement0(xb)),inference(spm,[status(thm)],[174291,414,theory(equality)])).
% cnf(174385,plain,(esk13_3(xu,xb,xd)=xd|xb=xu|$false),inference(rw,[status(thm)],[174357,117,theory(equality)])).
% cnf(174386,plain,(esk13_3(xu,xb,xd)=xd|xb=xu),inference(cn,[status(thm)],[174385,theory(equality)])).
% cnf(209002,plain,(sdtmndtasgtdt0(xb,xR,esk13_3(xu,xb,X1))|~sdtmndtasgtdt0(xu,xR,X1)|~aElement0(xb)|~aElement0(X1)),inference(spm,[status(thm)],[3770,413,theory(equality)])).
% cnf(209071,plain,(sdtmndtasgtdt0(xb,xR,esk13_3(xu,xb,X1))|~sdtmndtasgtdt0(xu,xR,X1)|$false|~aElement0(X1)),inference(rw,[status(thm)],[209002,117,theory(equality)])).
% cnf(209072,plain,(sdtmndtasgtdt0(xb,xR,esk13_3(xu,xb,X1))|~sdtmndtasgtdt0(xu,xR,X1)|~aElement0(X1)),inference(cn,[status(thm)],[209071,theory(equality)])).
% cnf(209376,plain,(sdtmndtasgtdt0(xb,xR,esk13_3(xu,xb,xd))|~aElement0(xd)),inference(spm,[status(thm)],[209072,5302,theory(equality)])).
% cnf(209448,plain,(sdtmndtasgtdt0(xb,xR,esk13_3(xu,xb,xd))|$false),inference(rw,[status(thm)],[209376,455,theory(equality)])).
% cnf(209449,plain,(sdtmndtasgtdt0(xb,xR,esk13_3(xu,xb,xd))),inference(cn,[status(thm)],[209448,theory(equality)])).
% cnf(209705,plain,(sdtmndtasgtdt0(xb,xR,xd)|xb=xu),inference(spm,[status(thm)],[209449,174386,theory(equality)])).
% cnf(209742,plain,(xb=xu),inference(sr,[status(thm)],[209705,482,theory(equality)])).
% cnf(210916,negated_conjecture,($false),inference(rw,[status(thm)],[inference(rw,[status(thm)],[482,209742,theory(equality)]),5302,theory(equality)])).
% cnf(210917,negated_conjecture,($false),inference(cn,[status(thm)],[210916,theory(equality)])).
% cnf(210918,negated_conjecture,($false),210917,['proof']).
% # SZS output end CNFRefutation
% # Processed clauses : 7206
% # ...of these trivial : 173
% # ...subsumed : 2867
% # ...remaining for further processing: 4166
% # Other redundant clauses eliminated : 111
% # Clauses deleted for lack of memory : 0
% # Backward-subsumed : 528
% # Backward-rewritten : 973
% # Generated clauses : 72626
% # ...of the previous two non-trivial : 69836
% # Contextual simplify-reflections : 3644
% # Paramodulations : 72526
% # Factorizations : 0
% # Equation resolutions : 111
% # Current number of processed clauses: 2565
% # Positive orientable unit clauses: 469
% # Positive unorientable unit clauses: 0
% # Negative unit clauses : 1
% # Non-unit-clauses : 2095
% # Current number of unprocessed clauses: 43134
% # ...number of literals in the above : 298343
% # Clause-clause subsumption calls (NU) : 82728
% # Rec. Clause-clause subsumption calls : 17197
% # Unit Clause-clause subsumption calls : 2099
% # Rewrite failures with RHS unbound : 0
% # Indexed BW rewrite attempts : 17505
% # Indexed BW rewrite successes : 178
% # Backwards rewriting index: 623 leaves, 3.35+/-7.883 terms/leaf
% # Paramod-from index: 228 leaves, 3.91+/-8.261 terms/leaf
% # Paramod-into index: 353 leaves, 3.95+/-8.118 terms/leaf
% # -------------------------------------------------
% # User time : 4.970 s
% # System time : 0.163 s
% # Total time : 5.133 s
% # Maximum resident set size: 0 pages
% PrfWatch: 8.65 CPU 9.05 WC
% FINAL PrfWatch: 8.65 CPU 9.05 WC
% SZS output end Solution for /tmp/SystemOnTPTP13394/COM019+4.tptp
%
%------------------------------------------------------------------------------