TSTP Solution File: COM020+4 by SRASS---0.1
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- Process Solution
%------------------------------------------------------------------------------
% File : SRASS---0.1
% Problem : COM020+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 : Tue Dec 28 22:42:36 EST 2010
% Result : Theorem 9.34s
% Output : Solution 9.34s
% 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/SystemOnTPTP8490/COM020+4.tptp
% Adding relevance values
% Extracting the conjecture
% Sorting axioms by relevance
% Looking for THM ...
% found
% SZS status THM for /tmp/SystemOnTPTP8490/COM020+4.tptp
% SZS output start Solution for /tmp/SystemOnTPTP8490/COM020+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 8586
% TreeLimitedRun: ----------------------------------------------------------
% PrfWatch: 0.00 CPU 0.00 WC
% PrfWatch: 1.92 CPU 2.01 WC
% PrfWatch: 3.54 CPU 4.01 WC
% PrfWatch: 5.19 CPU 6.02 WC
% # Preprocessing time : 0.041 s
% # Problem is unsatisfiable (or provable), constructing proof object
% # SZS status Theorem
% PrfWatch: 7.17 CPU 8.03 WC
% # SZS output start CNFRefutation.
% fof(4, axiom,![X1]:![X2]:![X3]:(((aElement0(X1)&aRewritingSystem0(X2))&aElement0(X3))=>(sdtmndtasgtdt0(X1,X2,X3)<=>(X1=X3|sdtmndtplgtdt0(X1,X2,X3)))),file('/tmp/SRASS.s.p', mTCRDef)).
% 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,?[X1]:((aElement0(X1)&((((xb=X1|aReductOfIn0(X1,xb,xR))|?[X2]:((aElement0(X2)&aReductOfIn0(X2,xb,xR))&sdtmndtplgtdt0(X2,xR,X1)))|sdtmndtplgtdt0(xb,xR,X1))|sdtmndtasgtdt0(xb,xR,X1)))&((((xd=X1|aReductOfIn0(X1,xd,xR))|?[X2]:((aElement0(X2)&aReductOfIn0(X2,xd,xR))&sdtmndtplgtdt0(X2,xR,X1)))|sdtmndtplgtdt0(xd,xR,X1))|sdtmndtasgtdt0(xd,xR,X1))),file('/tmp/SRASS.s.p', m__)).
% fof(25, negated_conjecture,~(?[X1]:((aElement0(X1)&((((xb=X1|aReductOfIn0(X1,xb,xR))|?[X2]:((aElement0(X2)&aReductOfIn0(X2,xb,xR))&sdtmndtplgtdt0(X2,xR,X1)))|sdtmndtplgtdt0(xb,xR,X1))|sdtmndtasgtdt0(xb,xR,X1)))&((((xd=X1|aReductOfIn0(X1,xd,xR))|?[X2]:((aElement0(X2)&aReductOfIn0(X2,xd,xR))&sdtmndtplgtdt0(X2,xR,X1)))|sdtmndtplgtdt0(xd,xR,X1))|sdtmndtasgtdt0(xd,xR,X1)))),inference(assume_negation,[status(cth)],[24])).
% fof(47, plain,![X1]:![X2]:![X3]:(((~(aElement0(X1))|~(aRewritingSystem0(X2)))|~(aElement0(X3)))|((~(sdtmndtasgtdt0(X1,X2,X3))|(X1=X3|sdtmndtplgtdt0(X1,X2,X3)))&((~(X1=X3)&~(sdtmndtplgtdt0(X1,X2,X3)))|sdtmndtasgtdt0(X1,X2,X3)))),inference(fof_nnf,[status(thm)],[4])).
% fof(48, plain,![X4]:![X5]:![X6]:(((~(aElement0(X4))|~(aRewritingSystem0(X5)))|~(aElement0(X6)))|((~(sdtmndtasgtdt0(X4,X5,X6))|(X4=X6|sdtmndtplgtdt0(X4,X5,X6)))&((~(X4=X6)&~(sdtmndtplgtdt0(X4,X5,X6)))|sdtmndtasgtdt0(X4,X5,X6)))),inference(variable_rename,[status(thm)],[47])).
% fof(49, plain,![X4]:![X5]:![X6]:(((~(sdtmndtasgtdt0(X4,X5,X6))|(X4=X6|sdtmndtplgtdt0(X4,X5,X6)))|((~(aElement0(X4))|~(aRewritingSystem0(X5)))|~(aElement0(X6))))&(((~(X4=X6)|sdtmndtasgtdt0(X4,X5,X6))|((~(aElement0(X4))|~(aRewritingSystem0(X5)))|~(aElement0(X6))))&((~(sdtmndtplgtdt0(X4,X5,X6))|sdtmndtasgtdt0(X4,X5,X6))|((~(aElement0(X4))|~(aRewritingSystem0(X5)))|~(aElement0(X6)))))),inference(distribute,[status(thm)],[48])).
% cnf(52,plain,(sdtmndtplgtdt0(X3,X2,X1)|X3=X1|~aElement0(X1)|~aRewritingSystem0(X2)|~aElement0(X3)|~sdtmndtasgtdt0(X3,X2,X1)),inference(split_conjunct,[status(thm)],[49])).
% 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, 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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,![X1]:((~(aElement0(X1))|((((~(xb=X1)&~(aReductOfIn0(X1,xb,xR)))&![X2]:((~(aElement0(X2))|~(aReductOfIn0(X2,xb,xR)))|~(sdtmndtplgtdt0(X2,xR,X1))))&~(sdtmndtplgtdt0(xb,xR,X1)))&~(sdtmndtasgtdt0(xb,xR,X1))))|((((~(xd=X1)&~(aReductOfIn0(X1,xd,xR)))&![X2]:((~(aElement0(X2))|~(aReductOfIn0(X2,xd,xR)))|~(sdtmndtplgtdt0(X2,xR,X1))))&~(sdtmndtplgtdt0(xd,xR,X1)))&~(sdtmndtasgtdt0(xd,xR,X1)))),inference(fof_nnf,[status(thm)],[25])).
% fof(480, negated_conjecture,![X3]:((~(aElement0(X3))|((((~(xb=X3)&~(aReductOfIn0(X3,xb,xR)))&![X4]:((~(aElement0(X4))|~(aReductOfIn0(X4,xb,xR)))|~(sdtmndtplgtdt0(X4,xR,X3))))&~(sdtmndtplgtdt0(xb,xR,X3)))&~(sdtmndtasgtdt0(xb,xR,X3))))|((((~(xd=X3)&~(aReductOfIn0(X3,xd,xR)))&![X5]:((~(aElement0(X5))|~(aReductOfIn0(X5,xd,xR)))|~(sdtmndtplgtdt0(X5,xR,X3))))&~(sdtmndtplgtdt0(xd,xR,X3)))&~(sdtmndtasgtdt0(xd,xR,X3)))),inference(variable_rename,[status(thm)],[479])).
% fof(481, negated_conjecture,![X3]:![X4]:![X5]:((((((~(aElement0(X5))|~(aReductOfIn0(X5,xd,xR)))|~(sdtmndtplgtdt0(X5,xR,X3)))&(~(xd=X3)&~(aReductOfIn0(X3,xd,xR))))&~(sdtmndtplgtdt0(xd,xR,X3)))&~(sdtmndtasgtdt0(xd,xR,X3)))|((((((~(aElement0(X4))|~(aReductOfIn0(X4,xb,xR)))|~(sdtmndtplgtdt0(X4,xR,X3)))&(~(xb=X3)&~(aReductOfIn0(X3,xb,xR))))&~(sdtmndtplgtdt0(xb,xR,X3)))&~(sdtmndtasgtdt0(xb,xR,X3)))|~(aElement0(X3)))),inference(shift_quantors,[status(thm)],[480])).
% fof(482, negated_conjecture,![X3]:![X4]:![X5]:((((((((((~(aElement0(X4))|~(aReductOfIn0(X4,xb,xR)))|~(sdtmndtplgtdt0(X4,xR,X3)))|~(aElement0(X3)))|((~(aElement0(X5))|~(aReductOfIn0(X5,xd,xR)))|~(sdtmndtplgtdt0(X5,xR,X3))))&(((~(xb=X3)|~(aElement0(X3)))|((~(aElement0(X5))|~(aReductOfIn0(X5,xd,xR)))|~(sdtmndtplgtdt0(X5,xR,X3))))&((~(aReductOfIn0(X3,xb,xR))|~(aElement0(X3)))|((~(aElement0(X5))|~(aReductOfIn0(X5,xd,xR)))|~(sdtmndtplgtdt0(X5,xR,X3))))))&((~(sdtmndtplgtdt0(xb,xR,X3))|~(aElement0(X3)))|((~(aElement0(X5))|~(aReductOfIn0(X5,xd,xR)))|~(sdtmndtplgtdt0(X5,xR,X3)))))&((~(sdtmndtasgtdt0(xb,xR,X3))|~(aElement0(X3)))|((~(aElement0(X5))|~(aReductOfIn0(X5,xd,xR)))|~(sdtmndtplgtdt0(X5,xR,X3)))))&((((((((~(aElement0(X4))|~(aReductOfIn0(X4,xb,xR)))|~(sdtmndtplgtdt0(X4,xR,X3)))|~(aElement0(X3)))|~(xd=X3))&(((~(xb=X3)|~(aElement0(X3)))|~(xd=X3))&((~(aReductOfIn0(X3,xb,xR))|~(aElement0(X3)))|~(xd=X3))))&((~(sdtmndtplgtdt0(xb,xR,X3))|~(aElement0(X3)))|~(xd=X3)))&((~(sdtmndtasgtdt0(xb,xR,X3))|~(aElement0(X3)))|~(xd=X3)))&(((((((~(aElement0(X4))|~(aReductOfIn0(X4,xb,xR)))|~(sdtmndtplgtdt0(X4,xR,X3)))|~(aElement0(X3)))|~(aReductOfIn0(X3,xd,xR)))&(((~(xb=X3)|~(aElement0(X3)))|~(aReductOfIn0(X3,xd,xR)))&((~(aReductOfIn0(X3,xb,xR))|~(aElement0(X3)))|~(aReductOfIn0(X3,xd,xR)))))&((~(sdtmndtplgtdt0(xb,xR,X3))|~(aElement0(X3)))|~(aReductOfIn0(X3,xd,xR))))&((~(sdtmndtasgtdt0(xb,xR,X3))|~(aElement0(X3)))|~(aReductOfIn0(X3,xd,xR))))))&(((((((~(aElement0(X4))|~(aReductOfIn0(X4,xb,xR)))|~(sdtmndtplgtdt0(X4,xR,X3)))|~(aElement0(X3)))|~(sdtmndtplgtdt0(xd,xR,X3)))&(((~(xb=X3)|~(aElement0(X3)))|~(sdtmndtplgtdt0(xd,xR,X3)))&((~(aReductOfIn0(X3,xb,xR))|~(aElement0(X3)))|~(sdtmndtplgtdt0(xd,xR,X3)))))&((~(sdtmndtplgtdt0(xb,xR,X3))|~(aElement0(X3)))|~(sdtmndtplgtdt0(xd,xR,X3))))&((~(sdtmndtasgtdt0(xb,xR,X3))|~(aElement0(X3)))|~(sdtmndtplgtdt0(xd,xR,X3)))))&(((((((~(aElement0(X4))|~(aReductOfIn0(X4,xb,xR)))|~(sdtmndtplgtdt0(X4,xR,X3)))|~(aElement0(X3)))|~(sdtmndtasgtdt0(xd,xR,X3)))&(((~(xb=X3)|~(aElement0(X3)))|~(sdtmndtasgtdt0(xd,xR,X3)))&((~(aReductOfIn0(X3,xb,xR))|~(aElement0(X3)))|~(sdtmndtasgtdt0(xd,xR,X3)))))&((~(sdtmndtplgtdt0(xb,xR,X3))|~(aElement0(X3)))|~(sdtmndtasgtdt0(xd,xR,X3))))&((~(sdtmndtasgtdt0(xb,xR,X3))|~(aElement0(X3)))|~(sdtmndtasgtdt0(xd,xR,X3))))),inference(distribute,[status(thm)],[481])).
% cnf(498,negated_conjecture,(xd!=X1|~aElement0(X1)|~sdtmndtasgtdt0(xb,xR,X1)),inference(split_conjunct,[status(thm)],[482])).
% cnf(499,negated_conjecture,(xd!=X1|~aElement0(X1)|~sdtmndtplgtdt0(xb,xR,X1)),inference(split_conjunct,[status(thm)],[482])).
% cnf(501,negated_conjecture,(xd!=X1|~aElement0(X1)|xb!=X1),inference(split_conjunct,[status(thm)],[482])).
% cnf(508,negated_conjecture,(xd!=xb|~aElement0(xb)),inference(er,[status(thm)],[501,theory(equality)])).
% cnf(509,negated_conjecture,(xd!=xb|$false),inference(rw,[status(thm)],[508,117,theory(equality)])).
% cnf(510,negated_conjecture,(xd!=xb),inference(cn,[status(thm)],[509,theory(equality)])).
% cnf(520,negated_conjecture,(~sdtmndtplgtdt0(xb,xR,xd)|~aElement0(xd)),inference(er,[status(thm)],[499,theory(equality)])).
% cnf(521,negated_conjecture,(~sdtmndtplgtdt0(xb,xR,xd)|$false),inference(rw,[status(thm)],[520,455,theory(equality)])).
% cnf(522,negated_conjecture,(~sdtmndtplgtdt0(xb,xR,xd)),inference(cn,[status(thm)],[521,theory(equality)])).
% cnf(523,negated_conjecture,(~sdtmndtasgtdt0(xb,xR,xd)|~aElement0(xd)),inference(er,[status(thm)],[498,theory(equality)])).
% cnf(524,negated_conjecture,(~sdtmndtasgtdt0(xb,xR,xd)|$false),inference(rw,[status(thm)],[523,455,theory(equality)])).
% cnf(525,negated_conjecture,(~sdtmndtasgtdt0(xb,xR,xd)),inference(cn,[status(thm)],[524,theory(equality)])).
% cnf(585,plain,(iLess0(xu,xa)|~aElement0(xa)|~aElement0(xu)),inference(spm,[status(thm)],[114,418,theory(equality)])).
% cnf(606,plain,(iLess0(xu,xa)|$false|~aElement0(xu)),inference(rw,[status(thm)],[585,118,theory(equality)])).
% cnf(607,plain,(iLess0(xu,xa)|$false|$false),inference(rw,[status(thm)],[606,419,theory(equality)])).
% cnf(608,plain,(iLess0(xu,xa)),inference(cn,[status(thm)],[607,theory(equality)])).
% cnf(1234,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(1239,plain,(sdtmndtasgtdt0(X1,xR,xd)|~sdtmndtasgtdt0(X1,xR,xw)|$false|~aElement0(xw)|~aElement0(xd)|~aElement0(X1)),inference(rw,[status(thm)],[1234,94,theory(equality)])).
% cnf(1240,plain,(sdtmndtasgtdt0(X1,xR,xd)|~sdtmndtasgtdt0(X1,xR,xw)|$false|$false|~aElement0(xd)|~aElement0(X1)),inference(rw,[status(thm)],[1239,443,theory(equality)])).
% cnf(1241,plain,(sdtmndtasgtdt0(X1,xR,xd)|~sdtmndtasgtdt0(X1,xR,xw)|$false|$false|$false|~aElement0(X1)),inference(rw,[status(thm)],[1240,455,theory(equality)])).
% cnf(1242,plain,(sdtmndtasgtdt0(X1,xR,xd)|~sdtmndtasgtdt0(X1,xR,xw)|~aElement0(X1)),inference(cn,[status(thm)],[1241,theory(equality)])).
% cnf(3396,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)],[138,608,theory(equality)])).
% cnf(3474,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)],[129,608,theory(equality)])).
% cnf(3651,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)|$false),inference(rw,[status(thm)],[3396,419,theory(equality)])).
% cnf(3652,plain,(esk13_3(xu,X1,X2)=X2|aReductOfIn0(esk15_3(xu,X1,X2),X2,xR)|aReductOfIn0(esk13_3(xu,X1,X2),X2,xR)|~sdtmndtasgtdt0(xu,xR,X2)|~sdtmndtplgtdt0(xu,xR,X1)|~aElement0(X1)|~aElement0(X2)),inference(cn,[status(thm)],[3651,theory(equality)])).
% cnf(3807,plain,(sdtmndtasgtdt0(X1,xR,esk13_3(xu,X1,X2))|~sdtmndtasgtdt0(xu,xR,X1)|~sdtmndtasgtdt0(xu,xR,X2)|~aElement0(X1)|~aElement0(X2)|$false),inference(rw,[status(thm)],[3474,419,theory(equality)])).
% cnf(3808,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)],[3807,theory(equality)])).
% cnf(5541,plain,(sdtmndtasgtdt0(xu,xR,xd)|~aElement0(xu)),inference(spm,[status(thm)],[1242,438,theory(equality)])).
% cnf(5545,plain,(sdtmndtasgtdt0(xu,xR,xd)|$false),inference(rw,[status(thm)],[5541,419,theory(equality)])).
% cnf(5546,plain,(sdtmndtasgtdt0(xu,xR,xd)),inference(cn,[status(thm)],[5545,theory(equality)])).
% cnf(5598,plain,(xd=xu|sdtmndtplgtdt0(xu,xR,xd)|~aRewritingSystem0(xR)|~aElement0(xu)|~aElement0(xd)),inference(spm,[status(thm)],[52,5546,theory(equality)])).
% cnf(5613,plain,(xd=xu|sdtmndtplgtdt0(xu,xR,xd)|$false|~aElement0(xu)|~aElement0(xd)),inference(rw,[status(thm)],[5598,94,theory(equality)])).
% cnf(5614,plain,(xd=xu|sdtmndtplgtdt0(xu,xR,xd)|$false|$false|~aElement0(xd)),inference(rw,[status(thm)],[5613,419,theory(equality)])).
% cnf(5615,plain,(xd=xu|sdtmndtplgtdt0(xu,xR,xd)|$false|$false|$false),inference(rw,[status(thm)],[5614,455,theory(equality)])).
% cnf(5616,plain,(xd=xu|sdtmndtplgtdt0(xu,xR,xd)),inference(cn,[status(thm)],[5615,theory(equality)])).
% cnf(153863,plain,(esk13_3(xu,X1,xd)=xd|aReductOfIn0(esk13_3(xu,X1,xd),xd,xR)|aReductOfIn0(esk15_3(xu,X1,xd),xd,xR)|~sdtmndtplgtdt0(xu,xR,X1)|~aElement0(X1)|~aElement0(xd)),inference(spm,[status(thm)],[3652,5546,theory(equality)])).
% cnf(153932,plain,(esk13_3(xu,X1,xd)=xd|aReductOfIn0(esk13_3(xu,X1,xd),xd,xR)|aReductOfIn0(esk15_3(xu,X1,xd),xd,xR)|~sdtmndtplgtdt0(xu,xR,X1)|~aElement0(X1)|$false),inference(rw,[status(thm)],[153863,455,theory(equality)])).
% cnf(153933,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)],[153932,theory(equality)])).
% cnf(153934,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)],[153933,456,theory(equality)])).
% cnf(153935,plain,(esk13_3(xu,X1,xd)=xd|~sdtmndtplgtdt0(xu,xR,X1)|~aElement0(X1)),inference(sr,[status(thm)],[153934,456,theory(equality)])).
% cnf(154009,plain,(esk13_3(xu,xb,xd)=xd|xu=xb|~aElement0(xb)),inference(spm,[status(thm)],[153935,414,theory(equality)])).
% cnf(154034,plain,(esk13_3(xu,xb,xd)=xd|xu=xb|$false),inference(rw,[status(thm)],[154009,117,theory(equality)])).
% cnf(154035,plain,(esk13_3(xu,xb,xd)=xd|xu=xb),inference(cn,[status(thm)],[154034,theory(equality)])).
% cnf(201927,plain,(sdtmndtasgtdt0(xb,xR,esk13_3(xu,xb,X1))|~sdtmndtasgtdt0(xu,xR,X1)|~aElement0(xb)|~aElement0(X1)),inference(spm,[status(thm)],[3808,413,theory(equality)])).
% cnf(201996,plain,(sdtmndtasgtdt0(xb,xR,esk13_3(xu,xb,X1))|~sdtmndtasgtdt0(xu,xR,X1)|$false|~aElement0(X1)),inference(rw,[status(thm)],[201927,117,theory(equality)])).
% cnf(201997,plain,(sdtmndtasgtdt0(xb,xR,esk13_3(xu,xb,X1))|~sdtmndtasgtdt0(xu,xR,X1)|~aElement0(X1)),inference(cn,[status(thm)],[201996,theory(equality)])).
% cnf(202084,plain,(sdtmndtasgtdt0(xb,xR,esk13_3(xu,xb,xd))|~aElement0(xd)),inference(spm,[status(thm)],[201997,5546,theory(equality)])).
% cnf(202154,plain,(sdtmndtasgtdt0(xb,xR,esk13_3(xu,xb,xd))|$false),inference(rw,[status(thm)],[202084,455,theory(equality)])).
% cnf(202155,plain,(sdtmndtasgtdt0(xb,xR,esk13_3(xu,xb,xd))),inference(cn,[status(thm)],[202154,theory(equality)])).
% cnf(202296,plain,(sdtmndtasgtdt0(xb,xR,xd)|xu=xb),inference(spm,[status(thm)],[202155,154035,theory(equality)])).
% cnf(202337,plain,(xu=xb),inference(sr,[status(thm)],[202296,525,theory(equality)])).
% cnf(204115,plain,(xb=xd|sdtmndtplgtdt0(xu,xR,xd)),inference(rw,[status(thm)],[5616,202337,theory(equality)])).
% cnf(204116,plain,(xb=xd|sdtmndtplgtdt0(xb,xR,xd)),inference(rw,[status(thm)],[204115,202337,theory(equality)])).
% cnf(204117,plain,(sdtmndtplgtdt0(xb,xR,xd)),inference(sr,[status(thm)],[204116,510,theory(equality)])).
% cnf(204118,plain,($false),inference(sr,[status(thm)],[204117,522,theory(equality)])).
% cnf(204119,plain,($false),204118,['proof']).
% # SZS output end CNFRefutation
% # Processed clauses : 7352
% # ...of these trivial : 164
% # ...subsumed : 2854
% # ...remaining for further processing: 4334
% # Other redundant clauses eliminated : 111
% # Clauses deleted for lack of memory : 0
% # Backward-subsumed : 531
% # Backward-rewritten : 1653
% # Generated clauses : 70216
% # ...of the previous two non-trivial : 68062
% # Contextual simplify-reflections : 3427
% # Paramodulations : 70109
% # Factorizations : 0
% # Equation resolutions : 118
% # Current number of processed clauses: 2050
% # Positive orientable unit clauses: 264
% # Positive unorientable unit clauses: 0
% # Negative unit clauses : 39
% # Non-unit-clauses : 1747
% # Current number of unprocessed clauses: 26036
% # ...number of literals in the above : 172782
% # Clause-clause subsumption calls (NU) : 82168
% # Rec. Clause-clause subsumption calls : 18099
% # Unit Clause-clause subsumption calls : 3403
% # Rewrite failures with RHS unbound : 0
% # Indexed BW rewrite attempts : 17271
% # Indexed BW rewrite successes : 176
% # Backwards rewriting index: 585 leaves, 3.03+/-6.821 terms/leaf
% # Paramod-from index: 196 leaves, 3.37+/-6.604 terms/leaf
% # Paramod-into index: 334 leaves, 3.39+/-6.573 terms/leaf
% # -------------------------------------------------
% # User time : 4.941 s
% # System time : 0.192 s
% # Total time : 5.133 s
% # Maximum resident set size: 0 pages
% PrfWatch: 8.50 CPU 9.37 WC
% FINAL PrfWatch: 8.50 CPU 9.37 WC
% SZS output end Solution for /tmp/SystemOnTPTP8490/COM020+4.tptp
%
%------------------------------------------------------------------------------