TSTP Solution File: COM023+4 by SRASS---0.1
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : SRASS---0.1
% Problem : COM023+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 : art05.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 22:43:21 EST 2010
% Result : Theorem 3.43s
% Output : Solution 3.43s
% Verified :
% SZS Type : None (Parsing solution fails)
% Syntax : Number of formulae : 0
% Comments :
%------------------------------------------------------------------------------
%----ERROR: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% Reading problem from /tmp/SystemOnTPTP15731/COM023+4.tptp
% Adding relevance values
% Extracting the conjecture
% Sorting axioms by relevance
% Looking for THM ...
% found
% SZS status THM for /tmp/SystemOnTPTP15731/COM023+4.tptp
% SZS output start Solution for /tmp/SystemOnTPTP15731/COM023+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 15827
% TreeLimitedRun: ----------------------------------------------------------
% PrfWatch: 0.00 CPU 0.02 WC
% # Preprocessing time : 0.037 s
% # Problem is unsatisfiable (or provable), constructing proof object
% # SZS status Theorem
% PrfWatch: 1.94 CPU 2.03 WC
% # SZS output start CNFRefutation.
% fof(11, 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)))=>?[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(18, conjecture,(![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))=>?[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))))|isConfluent0(xR)),file('/tmp/SRASS.s.p', m__)).
% fof(19, negated_conjecture,~((![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))=>?[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))))|isConfluent0(xR))),inference(assume_negation,[status(cth)],[18])).
% fof(110, 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))))|?[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)],[11])).
% fof(111, 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))))|?[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)],[110])).
% fof(112, 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))))|((((aElement0(esk15_3(X6,X7,X8))&(X7=esk15_3(X6,X7,X8)|((aReductOfIn0(esk15_3(X6,X7,X8),X7,xR)|((aElement0(esk16_3(X6,X7,X8))&aReductOfIn0(esk16_3(X6,X7,X8),X7,xR))&sdtmndtplgtdt0(esk16_3(X6,X7,X8),xR,esk15_3(X6,X7,X8))))&sdtmndtplgtdt0(X7,xR,esk15_3(X6,X7,X8)))))&sdtmndtasgtdt0(X7,xR,esk15_3(X6,X7,X8)))&(X8=esk15_3(X6,X7,X8)|((aReductOfIn0(esk15_3(X6,X7,X8),X8,xR)|((aElement0(esk17_3(X6,X7,X8))&aReductOfIn0(esk17_3(X6,X7,X8),X8,xR))&sdtmndtplgtdt0(esk17_3(X6,X7,X8),xR,esk15_3(X6,X7,X8))))&sdtmndtplgtdt0(X8,xR,esk15_3(X6,X7,X8)))))&sdtmndtasgtdt0(X8,xR,esk15_3(X6,X7,X8)))),inference(skolemize,[status(esa)],[111])).
% fof(113, 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)))))|((((aElement0(esk15_3(X6,X7,X8))&(X7=esk15_3(X6,X7,X8)|((aReductOfIn0(esk15_3(X6,X7,X8),X7,xR)|((aElement0(esk16_3(X6,X7,X8))&aReductOfIn0(esk16_3(X6,X7,X8),X7,xR))&sdtmndtplgtdt0(esk16_3(X6,X7,X8),xR,esk15_3(X6,X7,X8))))&sdtmndtplgtdt0(X7,xR,esk15_3(X6,X7,X8)))))&sdtmndtasgtdt0(X7,xR,esk15_3(X6,X7,X8)))&(X8=esk15_3(X6,X7,X8)|((aReductOfIn0(esk15_3(X6,X7,X8),X8,xR)|((aElement0(esk17_3(X6,X7,X8))&aReductOfIn0(esk17_3(X6,X7,X8),X8,xR))&sdtmndtplgtdt0(esk17_3(X6,X7,X8),xR,esk15_3(X6,X7,X8))))&sdtmndtplgtdt0(X8,xR,esk15_3(X6,X7,X8)))))&sdtmndtasgtdt0(X8,xR,esk15_3(X6,X7,X8)))),inference(shift_quantors,[status(thm)],[112])).
% fof(114, plain,![X6]:![X7]:![X8]:![X9]:![X10]:(((((((((((aElement0(esk15_3(X6,X7,X8))|((((~(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(esk16_3(X6,X7,X8))|aReductOfIn0(esk15_3(X6,X7,X8),X7,xR))|X7=esk15_3(X6,X7,X8))|((((~(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(esk16_3(X6,X7,X8),X7,xR)|aReductOfIn0(esk15_3(X6,X7,X8),X7,xR))|X7=esk15_3(X6,X7,X8))|((((~(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(esk16_3(X6,X7,X8),xR,esk15_3(X6,X7,X8))|aReductOfIn0(esk15_3(X6,X7,X8),X7,xR))|X7=esk15_3(X6,X7,X8))|((((~(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,esk15_3(X6,X7,X8))|X7=esk15_3(X6,X7,X8))|((((~(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,esk15_3(X6,X7,X8))|((((~(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(esk17_3(X6,X7,X8))|aReductOfIn0(esk15_3(X6,X7,X8),X8,xR))|X8=esk15_3(X6,X7,X8))|((((~(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(esk17_3(X6,X7,X8),X8,xR)|aReductOfIn0(esk15_3(X6,X7,X8),X8,xR))|X8=esk15_3(X6,X7,X8))|((((~(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(esk17_3(X6,X7,X8),xR,esk15_3(X6,X7,X8))|aReductOfIn0(esk15_3(X6,X7,X8),X8,xR))|X8=esk15_3(X6,X7,X8))|((((~(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,esk15_3(X6,X7,X8))|X8=esk15_3(X6,X7,X8))|((((~(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,esk15_3(X6,X7,X8))|((((~(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))|((~(X6=X7)|((~(aElement0(X6))|~(aElement0(X7)))|~(aElement0(X8))))|((~(aElement0(X10))|~(aReductOfIn0(X10,X6,xR)))|~(sdtmndtplgtdt0(X10,xR,X8)))))&((((((aElement0(esk16_3(X6,X7,X8))|aReductOfIn0(esk15_3(X6,X7,X8),X7,xR))|X7=esk15_3(X6,X7,X8))|((~(X6=X7)|((~(aElement0(X6))|~(aElement0(X7)))|~(aElement0(X8))))|((~(aElement0(X10))|~(aReductOfIn0(X10,X6,xR)))|~(sdtmndtplgtdt0(X10,xR,X8)))))&(((aReductOfIn0(esk16_3(X6,X7,X8),X7,xR)|aReductOfIn0(esk15_3(X6,X7,X8),X7,xR))|X7=esk15_3(X6,X7,X8))|((~(X6=X7)|((~(aElement0(X6))|~(aElement0(X7)))|~(aElement0(X8))))|((~(aElement0(X10))|~(aReductOfIn0(X10,X6,xR)))|~(sdtmndtplgtdt0(X10,xR,X8))))))&(((sdtmndtplgtdt0(esk16_3(X6,X7,X8),xR,esk15_3(X6,X7,X8))|aReductOfIn0(esk15_3(X6,X7,X8),X7,xR))|X7=esk15_3(X6,X7,X8))|((~(X6=X7)|((~(aElement0(X6))|~(aElement0(X7)))|~(aElement0(X8))))|((~(aElement0(X10))|~(aReductOfIn0(X10,X6,xR)))|~(sdtmndtplgtdt0(X10,xR,X8))))))&((sdtmndtplgtdt0(X7,xR,esk15_3(X6,X7,X8))|X7=esk15_3(X6,X7,X8))|((~(X6=X7)|((~(aElement0(X6))|~(aElement0(X7)))|~(aElement0(X8))))|((~(aElement0(X10))|~(aReductOfIn0(X10,X6,xR)))|~(sdtmndtplgtdt0(X10,xR,X8)))))))&(sdtmndtasgtdt0(X7,xR,esk15_3(X6,X7,X8))|((~(X6=X7)|((~(aElement0(X6))|~(aElement0(X7)))|~(aElement0(X8))))|((~(aElement0(X10))|~(aReductOfIn0(X10,X6,xR)))|~(sdtmndtplgtdt0(X10,xR,X8))))))&((((((aElement0(esk17_3(X6,X7,X8))|aReductOfIn0(esk15_3(X6,X7,X8),X8,xR))|X8=esk15_3(X6,X7,X8))|((~(X6=X7)|((~(aElement0(X6))|~(aElement0(X7)))|~(aElement0(X8))))|((~(aElement0(X10))|~(aReductOfIn0(X10,X6,xR)))|~(sdtmndtplgtdt0(X10,xR,X8)))))&(((aReductOfIn0(esk17_3(X6,X7,X8),X8,xR)|aReductOfIn0(esk15_3(X6,X7,X8),X8,xR))|X8=esk15_3(X6,X7,X8))|((~(X6=X7)|((~(aElement0(X6))|~(aElem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(~(aElement0(X6))|~(aElement0(X7)))|~(aElement0(X8))))|~(sdtmndtplgtdt0(X6,xR,X8)))))&((((((aElement0(esk17_3(X6,X7,X8))|aReductOfIn0(esk15_3(X6,X7,X8),X8,xR))|X8=esk15_3(X6,X7,X8))|((~(sdtmndtasgtdt0(X6,xR,X7))|((~(aElement0(X6))|~(aElement0(X7)))|~(aElement0(X8))))|~(sdtmndtplgtdt0(X6,xR,X8))))&(((aReductOfIn0(esk17_3(X6,X7,X8),X8,xR)|aReductOfIn0(esk15_3(X6,X7,X8),X8,xR))|X8=esk15_3(X6,X7,X8))|((~(sdtmndtasgtdt0(X6,xR,X7))|((~(aElement0(X6))|~(aElement0(X7)))|~(aElement0(X8))))|~(sdtmndtplgtdt0(X6,xR,X8)))))&(((sdtmndtplgtdt0(esk17_3(X6,X7,X8),xR,esk15_3(X6,X7,X8))|aReductOfIn0(esk15_3(X6,X7,X8),X8,xR))|X8=esk15_3(X6,X7,X8))|((~(sdtmndtasgtdt0(X6,xR,X7))|((~(aElement0(X6))|~(aElement0(X7)))|~(aElement0(X8))))|~(sdtmndtplgtdt0(X6,xR,X8)))))&((sdtmndtplgtdt0(X8,xR,esk15_3(X6,X7,X8))|X8=esk15_3(X6,X7,X8))|((~(sdtmndtasgtdt0(X6,xR,X7))|((~(aElement0(X6))|~(aElement0(X7)))|~(aElement0(X8))))|~(sdtmndtplgtdt0(X6,xR,X8))))))&(sdtmndtasgtdt0(X8,xR,esk15_3(X6,X7,X8))|((~(sdtmndtasgtdt0(X6,xR,X7))|((~(aElement0(X6))|~(aElement0(X7)))|~(aElement0(X8))))|~(sdtmndtplgtdt0(X6,xR,X8)))))))&((((((((aElement0(esk15_3(X6,X7,X8))|((((~(aElement0(X9))|~(aReductOfIn0(X9,X6,xR)))|~(sdtmndtplgtdt0(X9,xR,X7)))|((~(aElement0(X6))|~(aElement0(X7)))|~(aElement0(X8))))|~(sdtmndtasgtdt0(X6,xR,X8))))&((((((aElement0(esk16_3(X6,X7,X8))|aReductOfIn0(esk15_3(X6,X7,X8),X7,xR))|X7=esk15_3(X6,X7,X8))|((((~(aElement0(X9))|~(aReductOfIn0(X9,X6,xR)))|~(sdtmndtplgtdt0(X9,xR,X7)))|((~(aElement0(X6))|~(aElement0(X7)))|~(aElement0(X8))))|~(sdtmndtasgtdt0(X6,xR,X8))))&(((aReductOfIn0(esk16_3(X6,X7,X8),X7,xR)|aReductOfIn0(esk15_3(X6,X7,X8),X7,xR))|X7=esk15_3(X6,X7,X8))|((((~(aElement0(X9))|~(aReductOfIn0(X9,X6,xR)))|~(sdtmndtplgtdt0(X9,xR,X7)))|((~(aElement0(X6))|~(aElement0(X7)))|~(aElement0(X8))))|~(sdtmndtasgtdt0(X6,xR,X8)))))&(((sdtmndtplgtdt0(esk16_3(X6,X7,X8),xR,esk15_3(X6,X7,X8))|aReductOfIn0(esk15_3(X6,X7,X8),X7,xR))|X7=esk15_3(X6,X7,X8))|((((~(aElement0(X9))|~(aReductOfIn0(X9,X6,xR)))|~(sdtmndtplgtdt0(X9,xR,X7)))|((~(aElement0(X6))|~(aElement0(X7)))|~(aElement0(X8))))|~(sdtmndtasgtdt0(X6,xR,X8)))))&((sdtmndtplgtdt0(X7,xR,esk15_3(X6,X7,X8))|X7=esk15_3(X6,X7,X8))|((((~(aElement0(X9))|~(aReductOfIn0(X9,X6,xR)))|~(sdtmndtplgtdt0(X9,xR,X7)))|((~(aElement0(X6))|~(aElement0(X7)))|~(aElement0(X8))))|~(sdtmndtasgtdt0(X6,xR,X8))))))&(sdtmndtasgtdt0(X7,xR,esk15_3(X6,X7,X8))|((((~(aElement0(X9))|~(aReductOfIn0(X9,X6,xR)))|~(sdtmndtplgtdt0(X9,xR,X7)))|((~(aElement0(X6))|~(aElement0(X7)))|~(aElement0(X8))))|~(sdtmndtasgtdt0(X6,xR,X8)))))&((((((aElement0(esk17_3(X6,X7,X8))|aReductOfIn0(esk15_3(X6,X7,X8),X8,xR))|X8=esk15_3(X6,X7,X8))|((((~(aElement0(X9))|~(aReductOfIn0(X9,X6,xR)))|~(sdtmndtplgtdt0(X9,xR,X7)))|((~(aElement0(X6))|~(aElement0(X7)))|~(aElement0(X8))))|~(sdtmndtasgtdt0(X6,xR,X8))))&(((aReductOfIn0(esk17_3(X6,X7,X8),X8,xR)|aReductOfIn0(esk15_3(X6,X7,X8),X8,xR))|X8=esk15_3(X6,X7,X8))|((((~(aElement0(X9))|~(aReductOfIn0(X9,X6,xR)))|~(sdtmndtplgtdt0(X9,xR,X7)))|((~(aElement0(X6))|~(aElement0(X7)))|~(aElement0(X8))))|~(sdtmndtasgtdt0(X6,xR,X8)))))&(((sdtmndtplgtdt0(esk17_3(X6,X7,X8),xR,esk15_3(X6,X7,X8))|aReductOfIn0(esk15_3(X6,X7,X8),X8,xR))|X8=esk15_3(X6,X7,X8))|((((~(aElement0(X9))|~(aReductOfIn0(X9,X6,xR)))|~(sdtmndtplgtdt0(X9,xR,X7)))|((~(aElement0(X6))|~(aElement0(X7)))|~(aElement0(X8))))|~(sdtmndtasgtdt0(X6,xR,X8)))))&((sdtmndtplgtdt0(X8,xR,esk15_3(X6,X7,X8))|X8=esk15_3(X6,X7,X8))|((((~(aElement0(X9))|~(aReductOfIn0(X9,X6,xR)))|~(sdtmndtplgtdt0(X9,xR,X7)))|((~(aElement0(X6))|~(aElement0(X7)))|~(aElement0(X8))))|~(sdtmndtasgtdt0(X6,xR,X8))))))&(sdtmndtasgtdt0(X8,xR,esk15_3(X6,X7,X8))|((((~(aElement0(X9))|~(aReductOfIn0(X9,X6,xR)))|~(sdtmndtplgtdt0(X9,xR,X7)))|((~(aElement0(X6))|~(aElement0(X7)))|~(aElement0(X8))))|~(sdtmndtasgtdt0(X6,xR,X8)))))&((((((aElement0(esk15_3(X6,X7,X8))|((~(X6=X7)|((~(aElement0(X6))|~(aElement0(X7)))|~(aElement0(X8))))|~(sdtmndtasgtdt0(X6,xR,X8))))&((((((aElement0(esk16_3(X6,X7,X8))|aReductOfIn0(esk15_3(X6,X7,X8),X7,xR))|X7=esk15_3(X6,X7,X8))|((~(X6=X7)|((~(aElement0(X6))|~(aElement0(X7)))|~(aElement0(X8))))|~(sdtmndtasgtdt0(X6,xR,X8))))&(((aReductOfIn0(esk16_3(X6,X7,X8),X7,xR)|aReductOfIn0(esk15_3(X6,X7,X8),X7,xR))|X7=esk15_3(X6,X7,X8))|((~(X6=X7)|((~(aElement0(X6))|~(aElement0(X7)))|~(aElement0(X8))))|~(sdtmndtasgtdt0(X6,xR,X8)))))&(((sdtmndtplgtdt0(esk16_3(X6,X7,X8),xR,esk15_3(X6,X7,X8))|aReductOfIn0(esk15_3(X6,X7,X8),X7,xR))|X7=esk15_3(X6,X7,X8))|((~(X6=X7)|((~(aElement0(X6))|~(aElement0(X7)))|~(aElement0(X8))))|~(sdtmndtasgtdt0(X6,xR,X8)))))&((sdtmndtplgtdt0(X7,xR,esk15_3(X6,X7,X8))|X7=esk15_3(X6,X7,X8))|((~(X6=X7)|((~(aElement0(X6))|~(aElement0(X7)))|~(aElement0(X8))))|~(sdtmndtasgtdt0(X6,xR,X8))))))&(sdtmndtasgtdt0(X7,xR,esk15_3(X6,X7,X8))|((~(X6=X7)|((~(aElement0(X6))|~(aElement0(X7)))|~(aElement0(X8))))|~(sdtmndtasgtdt0(X6,xR,X8)))))&((((((aElement0(esk17_3(X6,X7,X8))|aReductOfIn0(esk15_3(X6,X7,X8),X8,xR))|X8=esk15_3(X6,X7,X8))|((~(X6=X7)|((~(aElement0(X6))|~(aElement0(X7)))|~(aElement0(X8))))|~(sdtmndtasgtdt0(X6,xR,X8))))&(((aReductOfIn0(esk17_3(X6,X7,X8),X8,xR)|aReductOfIn0(esk15_3(X6,X7,X8),X8,xR))|X8=esk15_3(X6,X7,X8))|((~(X6=X7)|((~(aElement0(X6))|~(aElement0(X7)))|~(aElement0(X8))))|~(sdtmndtasgtdt0(X6,xR,X8)))))&(((sdtmndtplgtdt0(esk17_3(X6,X7,X8),xR,esk15_3(X6,X7,X8))|aReductOfIn0(esk15_3(X6,X7,X8),X8,xR))|X8=esk15_3(X6,X7,X8))|((~(X6=X7)|((~(aElement0(X6))|~(aElement0(X7)))|~(aElement0(X8))))|~(sdtmndtasgtdt0(X6,xR,X8)))))&((sdtmndtplgtdt0(X8,xR,esk15_3(X6,X7,X8))|X8=esk15_3(X6,X7,X8))|((~(X6=X7)|((~(aElement0(X6))|~(aElement0(X7)))|~(aElement0(X8))))|~(sdtmndtasgtdt0(X6,xR,X8))))))&(sdtmndtasgtdt0(X8,xR,esk15_3(X6,X7,X8))|((~(X6=X7)|((~(aElement0(X6))|~(aElement0(X7)))|~(aElement0(X8))))|~(sdtmndtasgtdt0(X6,xR,X8)))))&(((((aElement0(esk15_3(X6,X7,X8))|((~(aReductOfIn0(X7,X6,xR))|((~(aElement0(X6))|~(aElement0(X7)))|~(aElement0(X8))))|~(sdtmndtasgtdt0(X6,xR,X8))))&((((((aElement0(esk16_3(X6,X7,X8))|aReductOfIn0(esk15_3(X6,X7,X8),X7,xR))|X7=esk15_3(X6,X7,X8))|((~(aReductOfIn0(X7,X6,xR))|((~(aElement0(X6))|~(aElement0(X7)))|~(aElement0(X8))))|~(sdtmndtasgtdt0(X6,xR,X8))))&(((aReductOfIn0(esk16_3(X6,X7,X8),X7,xR)|aReductOfIn0(esk15_3(X6,X7,X8),X7,xR))|X7=esk15_3(X6,X7,X8))|((~(aReductOfIn0(X7,X6,xR))|((~(aElement0(X6))|~(aElement0(X7)))|~(aElement0(X8))))|~(sdtmndtasgtdt0(X6,xR,X8)))))&(((sdtmndtplgtdt0(esk16_3(X6,X7,X8),xR,esk15_3(X6,X7,X8))|aReductOfIn0(esk15_3(X6,X7,X8),X7,xR))|X7=esk15_3(X6,X7,X8))|((~(aReductOfIn0(X7,X6,xR))|((~(aElement0(X6))|~(aElement0(X7)))|~(aElement0(X8))))|~(sdtmndtasgtdt0(X6,xR,X8)))))&((sdtmndtplgtdt0(X7,xR,esk15_3(X6,X7,X8))|X7=esk15_3(X6,X7,X8))|((~(aReductOfIn0(X7,X6,xR))|((~(aElement0(X6))|~(aElement0(X7)))|~(aElement0(X8))))|~(sdtmndtasgtdt0(X6,xR,X8))))))&(sdtmndtasgtdt0(X7,xR,esk15_3(X6,X7,X8))|((~(aReductOfIn0(X7,X6,xR))|((~(aElement0(X6))|~(aElement0(X7)))|~(aElement0(X8))))|~(sdtmndtasgtdt0(X6,xR,X8)))))&((((((aElement0(esk17_3(X6,X7,X8))|aReductOfIn0(esk15_3(X6,X7,X8),X8,xR))|X8=esk15_3(X6,X7,X8))|((~(aReductOfIn0(X7,X6,xR))|((~(aElement0(X6))|~(aElement0(X7)))|~(aElement0(X8))))|~(sdtmndtasgtdt0(X6,xR,X8))))&(((aReductOfIn0(esk17_3(X6,X7,X8),X8,xR)|aReductOfIn0(esk15_3(X6,X7,X8),X8,xR))|X8=esk15_3(X6,X7,X8))|((~(aReductOfIn0(X7,X6,xR))|((~(aElement0(X6))|~(aElement0(X7)))|~(aElement0(X8))))|~(sdtmndtasgtdt0(X6,xR,X8)))))&(((sdtmndtplgtdt0(esk17_3(X6,X7,X8),xR,esk15_3(X6,X7,X8))|aReductOfIn0(esk15_3(X6,X7,X8),X8,xR))|X8=esk15_3(X6,X7,X8))|((~(aReductOfIn0(X7,X6,xR))|((~(aElement0(X6))|~(aElement0(X7)))|~(aElement0(X8))))|~(sdtmndtasgtdt0(X6,xR,X8)))))&((sdtmndtplgtdt0(X8,xR,esk15_3(X6,X7,X8))|X8=esk15_3(X6,X7,X8))|((~(aReductOfIn0(X7,X6,xR))|((~(aElement0(X6))|~(aElement0(X7)))|~(aElement0(X8))))|~(sdtmndtasgtdt0(X6,xR,X8))))))&(sdtmndtasgtdt0(X8,xR,esk15_3(X6,X7,X8))|((~(aReductOfIn0(X7,X6,xR))|((~(aElement0(X6))|~(aElement0(X7)))|~(aElement0(X8))))|~(sdtmndtasgtdt0(X6,xR,X8)))))))&(((((aElement0(esk15_3(X6,X7,X8))|((~(sdtmndtplgtdt0(X6,xR,X7))|((~(aElement0(X6))|~(aElement0(X7)))|~(aElement0(X8))))|~(sdtmndtasgtdt0(X6,xR,X8))))&((((((aElement0(esk16_3(X6,X7,X8))|aReductOfIn0(esk15_3(X6,X7,X8),X7,xR))|X7=esk15_3(X6,X7,X8))|((~(sdtmndtplgtdt0(X6,xR,X7))|((~(aElement0(X6))|~(aElement0(X7)))|~(aElement0(X8))))|~(sdtmndtasgtdt0(X6,xR,X8))))&(((aReductOfIn0(esk16_3(X6,X7,X8),X7,xR)|aReductOfIn0(esk15_3(X6,X7,X8),X7,xR))|X7=esk15_3(X6,X7,X8))|((~(sdtmndtplgtdt0(X6,xR,X7))|((~(aElement0(X6))|~(aElement0(X7)))|~(aElement0(X8))))|~(sdtmndtasgtdt0(X6,xR,X8)))))&(((sdtmndtplgtdt0(esk16_3(X6,X7,X8),xR,esk15_3(X6,X7,X8))|aReductOfIn0(esk15_3(X6,X7,X8),X7,xR))|X7=esk15_3(X6,X7,X8))|((~(sdtmndtplgtdt0(X6,xR,X7))|((~(aElement0(X6))|~(aElement0(X7)))|~(aElement0(X8))))|~(sdtmndtasgtdt0(X6,xR,X8)))))&((sdtmndtplgtdt0(X7,xR,esk15_3(X6,X7,X8))|X7=esk15_3(X6,X7,X8))|((~(sdtmndtplgtdt0(X6,xR,X7))|((~(aElement0(X6))|~(aElement0(X7)))|~(aElement0(X8))))|~(sdtmndtasgtdt0(X6,xR,X8))))))&(sdtmndtasgtdt0(X7,xR,esk15_3(X6,X7,X8))|((~(sdtmndtplgtdt0(X6,xR,X7))|((~(aElement0(X6))|~(aElement0(X7)))|~(aElement0(X8))))|~(sdtmndtasgtdt0(X6,xR,X8)))))&((((((aElement0(esk17_3(X6,X7,X8))|aReductOfIn0(esk15_3(X6,X7,X8),X8,xR))|X8=esk15_3(X6,X7,X8))|((~(sdtmndtplgtdt0(X6,xR,X7))|((~(aElement0(X6))|~(aElement0(X7)))|~(aElement0(X8))))|~(sdtmndtasgtdt0(X6,xR,X8))))&(((aReductOfIn0(esk17_3(X6,X7,X8),X8,xR)|aReductOfIn0(esk15_3(X6,X7,X8),X8,xR))|X8=esk15_3(X6,X7,X8))|((~(sdtmndtplgtdt0(X6,xR,X7))|((~(aElement0(X6))|~(aElement0(X7)))|~(aElement0(X8))))|~(sdtmndtasgtdt0(X6,xR,X8)))))&(((sdtmndtplgtdt0(esk17_3(X6,X7,X8),xR,esk15_3(X6,X7,X8))|aReductOfIn0(esk15_3(X6,X7,X8),X8,xR))|X8=esk15_3(X6,X7,X8))|((~(sdtmndtplgtdt0(X6,xR,X7))|((~(aElement0(X6))|~(aElement0(X7)))|~(aElement0(X8))))|~(sdtmndtasgtdt0(X6,xR,X8)))))&((sdtmndtplgtdt0(X8,xR,esk15_3(X6,X7,X8))|X8=esk15_3(X6,X7,X8))|((~(sdtmndtplgtdt0(X6,xR,X7))|((~(aElement0(X6))|~(aElement0(X7)))|~(aElement0(X8))))|~(sdtmndtasgtdt0(X6,xR,X8))))))&(sdtmndtasgtdt0(X8,xR,esk15_3(X6,X7,X8))|((~(sdtmndtplgtdt0(X6,xR,X7))|((~(aElement0(X6))|~(aElement0(X7)))|~(aElement0(X8))))|~(sdtmndtasgtdt0(X6,xR,X8))))))&(((((aElement0(esk15_3(X6,X7,X8))|((~(sdtmndtasgtdt0(X6,xR,X7))|((~(aElement0(X6))|~(aElement0(X7)))|~(aElement0(X8))))|~(sdtmndtasgtdt0(X6,xR,X8))))&((((((aElement0(esk16_3(X6,X7,X8))|aReductOfIn0(esk15_3(X6,X7,X8),X7,xR))|X7=esk15_3(X6,X7,X8))|((~(sdtmndtasgtdt0(X6,xR,X7))|((~(aElement0(X6))|~(aElement0(X7)))|~(aElement0(X8))))|~(sdtmndtasgtdt0(X6,xR,X8))))&(((aReductOfIn0(esk16_3(X6,X7,X8),X7,xR)|aReductOfIn0(esk15_3(X6,X7,X8),X7,xR))|X7=esk15_3(X6,X7,X8))|((~(sdtmndtasgtdt0(X6,xR,X7))|((~(aElement0(X6))|~(aElement0(X7)))|~(aElement0(X8))))|~(sdtmndtasgtdt0(X6,xR,X8)))))&(((sdtmndtplgtdt0(esk16_3(X6,X7,X8),xR,esk15_3(X6,X7,X8))|aReductOfIn0(esk15_3(X6,X7,X8),X7,xR))|X7=esk15_3(X6,X7,X8))|((~(sdtmndtasgtdt0(X6,xR,X7))|((~(aElement0(X6))|~(aElement0(X7)))|~(aElement0(X8))))|~(sdtmndtasgtdt0(X6,xR,X8)))))&((sdtmndtplgtdt0(X7,xR,esk15_3(X6,X7,X8))|X7=esk15_3(X6,X7,X8))|((~(sdtmndtasgtdt0(X6,xR,X7))|((~(aElement0(X6))|~(aElement0(X7)))|~(aElement0(X8))))|~(sdtmndtasgtdt0(X6,xR,X8))))))&(sdtmndtasgtdt0(X7,xR,esk15_3(X6,X7,X8))|((~(sdtmndtasgtdt0(X6,xR,X7))|((~(aElement0(X6))|~(aElement0(X7)))|~(aElement0(X8))))|~(sdtmndtasgtdt0(X6,xR,X8)))))&((((((aElement0(esk17_3(X6,X7,X8))|aReductOfIn0(esk15_3(X6,X7,X8),X8,xR))|X8=esk15_3(X6,X7,X8))|((~(sdtmndtasgtdt0(X6,xR,X7))|((~(aElement0(X6))|~(aElement0(X7)))|~(aElement0(X8))))|~(sdtmndtasgtdt0(X6,xR,X8))))&(((aReductOfIn0(esk17_3(X6,X7,X8),X8,xR)|aReductOfIn0(esk15_3(X6,X7,X8),X8,xR))|X8=esk15_3(X6,X7,X8))|((~(sdtmndtasgtdt0(X6,xR,X7))|((~(aElement0(X6))|~(aElement0(X7)))|~(aElement0(X8))))|~(sdtmndtasgtdt0(X6,xR,X8)))))&(((sdtmndtplgtdt0(esk17_3(X6,X7,X8),xR,esk15_3(X6,X7,X8))|aReductOfIn0(esk15_3(X6,X7,X8),X8,xR))|X8=esk15_3(X6,X7,X8))|((~(sdtmndtasgtdt0(X6,xR,X7))|((~(aElement0(X6))|~(aElement0(X7)))|~(aElement0(X8))))|~(sdtmndtasgtdt0(X6,xR,X8)))))&((sdtmndtplgtdt0(X8,xR,esk15_3(X6,X7,X8))|X8=esk15_3(X6,X7,X8))|((~(sdtmndtasgtdt0(X6,xR,X7))|((~(aElement0(X6))|~(aElement0(X7)))|~(aElement0(X8))))|~(sdtmndtasgtdt0(X6,xR,X8))))))&(sdtmndtasgtdt0(X8,xR,esk15_3(X6,X7,X8))|((~(sdtmndtasgtdt0(X6,xR,X7))|((~(aElement0(X6))|~(aElement0(X7)))|~(aElement0(X8))))|~(sdtmndtasgtdt0(X6,xR,X8))))))),inference(distribute,[status(thm)],[113])).
% cnf(120,plain,(sdtmndtasgtdt0(X3,xR,esk15_3(X1,X3,X2))|~sdtmndtasgtdt0(X1,xR,X2)|~aElement0(X2)|~aElement0(X3)|~aElement0(X1)|~sdtmndtasgtdt0(X1,xR,X3)),inference(split_conjunct,[status(thm)],[114])).
% cnf(125,plain,(aElement0(esk15_3(X1,X3,X2))|~sdtmndtasgtdt0(X1,xR,X2)|~aElement0(X2)|~aElement0(X3)|~aElement0(X1)|~sdtmndtasgtdt0(X1,xR,X3)),inference(split_conjunct,[status(thm)],[114])).
% cnf(181,plain,(sdtmndtasgtdt0(X2,xR,esk15_3(X1,X3,X2))|~sdtmndtplgtdt0(X1,xR,X2)|~aElement0(X2)|~aElement0(X3)|~aElement0(X1)|~sdtmndtplgtdt0(X1,xR,X3)),inference(split_conjunct,[status(thm)],[114])).
% fof(412, negated_conjecture,(?[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))&![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)))))&~(isConfluent0(xR))),inference(fof_nnf,[status(thm)],[19])).
% fof(413, negated_conjecture,(?[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))&![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)))))&~(isConfluent0(xR))),inference(variable_rename,[status(thm)],[412])).
% fof(414, negated_conjecture,((((((((aElement0(esk20_0)&aElement0(esk21_0))&aElement0(esk22_0))&(esk20_0=esk21_0|((aReductOfIn0(esk21_0,esk20_0,xR)|((aElement0(esk23_0)&aReductOfIn0(esk23_0,esk20_0,xR))&sdtmndtplgtdt0(esk23_0,xR,esk21_0)))&sdtmndtplgtdt0(esk20_0,xR,esk21_0))))&sdtmndtasgtdt0(esk20_0,xR,esk21_0))&(esk20_0=esk22_0|((aReductOfIn0(esk22_0,esk20_0,xR)|((aElement0(esk24_0)&aReductOfIn0(esk24_0,esk20_0,xR))&sdtmndtplgtdt0(esk24_0,xR,esk22_0)))&sdtmndtplgtdt0(esk20_0,xR,esk22_0))))&sdtmndtasgtdt0(esk20_0,xR,esk22_0))&![X11]:((~(aElement0(X11))|((((~(esk21_0=X11)&~(aReductOfIn0(X11,esk21_0,xR)))&![X12]:((~(aElement0(X12))|~(aReductOfIn0(X12,esk21_0,xR)))|~(sdtmndtplgtdt0(X12,xR,X11))))&~(sdtmndtplgtdt0(esk21_0,xR,X11)))&~(sdtmndtasgtdt0(esk21_0,xR,X11))))|((((~(esk22_0=X11)&~(aReductOfIn0(X11,esk22_0,xR)))&![X13]:((~(aElement0(X13))|~(aReductOfIn0(X13,esk22_0,xR)))|~(sdtmndtplgtdt0(X13,xR,X11))))&~(sdtmndtplgtdt0(esk22_0,xR,X11)))&~(sdtmndtasgtdt0(esk22_0,xR,X11)))))&~(isConfluent0(xR))),inference(skolemize,[status(esa)],[413])).
% fof(415, negated_conjecture,![X11]:![X12]:![X13]:((((((((~(aElement0(X13))|~(aReductOfIn0(X13,esk22_0,xR)))|~(sdtmndtplgtdt0(X13,xR,X11)))&(~(esk22_0=X11)&~(aReductOfIn0(X11,esk22_0,xR))))&~(sdtmndtplgtdt0(esk22_0,xR,X11)))&~(sdtmndtasgtdt0(esk22_0,xR,X11)))|((((((~(aElement0(X12))|~(aReductOfIn0(X12,esk21_0,xR)))|~(sdtmndtplgtdt0(X12,xR,X11)))&(~(esk21_0=X11)&~(aReductOfIn0(X11,esk21_0,xR))))&~(sdtmndtplgtdt0(esk21_0,xR,X11)))&~(sdtmndtasgtdt0(esk21_0,xR,X11)))|~(aElement0(X11))))&((((((aElement0(esk20_0)&aElement0(esk21_0))&aElement0(esk22_0))&(esk20_0=esk21_0|((aReductOfIn0(esk21_0,esk20_0,xR)|((aElement0(esk23_0)&aReductOfIn0(esk23_0,esk20_0,xR))&sdtmndtplgtdt0(esk23_0,xR,esk21_0)))&sdtmndtplgtdt0(esk20_0,xR,esk21_0))))&sdtmndtasgtdt0(esk20_0,xR,esk21_0))&(esk20_0=esk22_0|((aReductOfIn0(esk22_0,esk20_0,xR)|((aElement0(esk24_0)&aReductOfIn0(esk24_0,esk20_0,xR))&sdtmndtplgtdt0(esk24_0,xR,esk22_0)))&sdtmndtplgtdt0(esk20_0,xR,esk22_0))))&sdtmndtasgtdt0(esk20_0,xR,esk22_0)))&~(isConfluent0(xR))),inference(shift_quantors,[status(thm)],[414])).
% fof(416, negated_conjecture,![X11]:![X12]:![X13]:((((((((((((~(aElement0(X12))|~(aReductOfIn0(X12,esk21_0,xR)))|~(sdtmndtplgtdt0(X12,xR,X11)))|~(aElement0(X11)))|((~(aElement0(X13))|~(aReductOfIn0(X13,esk22_0,xR)))|~(sdtmndtplgtdt0(X13,xR,X11))))&(((~(esk21_0=X11)|~(aElement0(X11)))|((~(aElement0(X13))|~(aReductOfIn0(X13,esk22_0,xR)))|~(sdtmndtplgtdt0(X13,xR,X11))))&((~(aReductOfIn0(X11,esk21_0,xR))|~(aElement0(X11)))|((~(aElement0(X13))|~(aReductOfIn0(X13,esk22_0,xR)))|~(sdtmndtplgtdt0(X13,xR,X11))))))&((~(sdtmndtplgtdt0(esk21_0,xR,X11))|~(aElement0(X11)))|((~(aElement0(X13))|~(aReductOfIn0(X13,esk22_0,xR)))|~(sdtmndtplgtdt0(X13,xR,X11)))))&((~(sdtmndtasgtdt0(esk21_0,xR,X11))|~(aElement0(X11)))|((~(aElement0(X13))|~(aReductOfIn0(X13,esk22_0,xR)))|~(sdtmndtplgtdt0(X13,xR,X11)))))&((((((((~(aElement0(X12))|~(aReductOfIn0(X12,esk21_0,xR)))|~(sdtmndtplgtdt0(X12,xR,X11)))|~(aElement0(X11)))|~(esk22_0=X11))&(((~(esk21_0=X11)|~(aElement0(X11)))|~(esk22_0=X11))&((~(aReductOfIn0(X11,esk21_0,xR))|~(aElement0(X11)))|~(esk22_0=X11))))&((~(sdtmndtplgtdt0(esk21_0,xR,X11))|~(aElement0(X11)))|~(esk22_0=X11)))&((~(sdtmndtasgtdt0(esk21_0,xR,X11))|~(aElement0(X11)))|~(esk22_0=X11)))&(((((((~(aElement0(X12))|~(aReductOfIn0(X12,esk21_0,xR)))|~(sdtmndtplgtdt0(X12,xR,X11)))|~(aElement0(X11)))|~(aReductOfIn0(X11,esk22_0,xR)))&(((~(esk21_0=X11)|~(aElement0(X11)))|~(aReductOfIn0(X11,esk22_0,xR)))&((~(aReductOfIn0(X11,esk21_0,xR))|~(aElement0(X11)))|~(aReductOfIn0(X11,esk22_0,xR)))))&((~(sdtmndtplgtdt0(esk21_0,xR,X11))|~(aElement0(X11)))|~(aReductOfIn0(X11,esk22_0,xR))))&((~(sdtmndtasgtdt0(esk21_0,xR,X11))|~(aElement0(X11)))|~(aReductOfIn0(X11,esk22_0,xR))))))&(((((((~(aElement0(X12))|~(aReductOfIn0(X12,esk21_0,xR)))|~(sdtmndtplgtdt0(X12,xR,X11)))|~(aElement0(X11)))|~(sdtmndtplgtdt0(esk22_0,xR,X11)))&(((~(esk21_0=X11)|~(aElement0(X11)))|~(sdtmndtplgtdt0(esk22_0,xR,X11)))&((~(aReductOfIn0(X11,esk21_0,xR))|~(aElement0(X11)))|~(sdtmndtplgtdt0(esk22_0,xR,X11)))))&((~(sdtmndtplgtdt0(esk21_0,xR,X11))|~(aElement0(X11)))|~(sdtmndtplgtdt0(esk22_0,xR,X11))))&((~(sdtmndtasgtdt0(esk21_0,xR,X11))|~(aElement0(X11)))|~(sdtmndtplgtdt0(esk22_0,xR,X11)))))&(((((((~(aElement0(X12))|~(aReductOfIn0(X12,esk21_0,xR)))|~(sdtmndtplgtdt0(X12,xR,X11)))|~(aElement0(X11)))|~(sdtmndtasgtdt0(esk22_0,xR,X11)))&(((~(esk21_0=X11)|~(aElement0(X11)))|~(sdtmndtasgtdt0(esk22_0,xR,X11)))&((~(aReductOfIn0(X11,esk21_0,xR))|~(aElement0(X11)))|~(sdtmndtasgtdt0(esk22_0,xR,X11)))))&((~(sdtmndtplgtdt0(esk21_0,xR,X11))|~(aElement0(X11)))|~(sdtmndtasgtdt0(esk22_0,xR,X11))))&((~(sdtmndtasgtdt0(esk21_0,xR,X11))|~(aElement0(X11)))|~(sdtmndtasgtdt0(esk22_0,xR,X11)))))&((((((aElement0(esk20_0)&aElement0(esk21_0))&aElement0(esk22_0))&(((((aElement0(esk23_0)|aReductOfIn0(esk21_0,esk20_0,xR))|esk20_0=esk21_0)&((aReductOfIn0(esk23_0,esk20_0,xR)|aReductOfIn0(esk21_0,esk20_0,xR))|esk20_0=esk21_0))&((sdtmndtplgtdt0(esk23_0,xR,esk21_0)|aReductOfIn0(esk21_0,esk20_0,xR))|esk20_0=esk21_0))&(sdtmndtplgtdt0(esk20_0,xR,esk21_0)|esk20_0=esk21_0)))&sdtmndtasgtdt0(esk20_0,xR,esk21_0))&(((((aElement0(esk24_0)|aReductOfIn0(esk22_0,esk20_0,xR))|esk20_0=esk22_0)&((aReductOfIn0(esk24_0,esk20_0,xR)|aReductOfIn0(esk22_0,esk20_0,xR))|esk20_0=esk22_0))&((sdtmndtplgtdt0(esk24_0,xR,esk22_0)|aReductOfIn0(esk22_0,esk20_0,xR))|esk20_0=esk22_0))&(sdtmndtplgtdt0(esk20_0,xR,esk22_0)|esk20_0=esk22_0)))&sdtmndtasgtdt0(esk20_0,xR,esk22_0)))&~(isConfluent0(xR))),inference(distribute,[status(thm)],[415])).
% cnf(418,negated_conjecture,(sdtmndtasgtdt0(esk20_0,xR,esk22_0)),inference(split_conjunct,[status(thm)],[416])).
% cnf(419,negated_conjecture,(esk20_0=esk22_0|sdtmndtplgtdt0(esk20_0,xR,esk22_0)),inference(split_conjunct,[status(thm)],[416])).
% cnf(423,negated_conjecture,(sdtmndtasgtdt0(esk20_0,xR,esk21_0)),inference(split_conjunct,[status(thm)],[416])).
% cnf(424,negated_conjecture,(esk20_0=esk21_0|sdtmndtplgtdt0(esk20_0,xR,esk21_0)),inference(split_conjunct,[status(thm)],[416])).
% cnf(428,negated_conjecture,(aElement0(esk22_0)),inference(split_conjunct,[status(thm)],[416])).
% cnf(429,negated_conjecture,(aElement0(esk21_0)),inference(split_conjunct,[status(thm)],[416])).
% cnf(430,negated_conjecture,(aElement0(esk20_0)),inference(split_conjunct,[status(thm)],[416])).
% cnf(431,negated_conjecture,(~sdtmndtasgtdt0(esk22_0,xR,X1)|~aElement0(X1)|~sdtmndtasgtdt0(esk21_0,xR,X1)),inference(split_conjunct,[status(thm)],[416])).
% cnf(434,negated_conjecture,(~sdtmndtasgtdt0(esk22_0,xR,X1)|~aElement0(X1)|esk21_0!=X1),inference(split_conjunct,[status(thm)],[416])).
% cnf(447,negated_conjecture,(esk22_0!=X1|~aElement0(X1)|~sdtmndtplgtdt0(esk21_0,xR,X1)),inference(split_conjunct,[status(thm)],[416])).
% cnf(449,negated_conjecture,(esk22_0!=X1|~aElement0(X1)|esk21_0!=X1),inference(split_conjunct,[status(thm)],[416])).
% cnf(456,negated_conjecture,(esk22_0!=esk21_0|~aElement0(esk21_0)),inference(er,[status(thm)],[449,theory(equality)])).
% cnf(457,negated_conjecture,(esk22_0!=esk21_0|$false),inference(rw,[status(thm)],[456,429,theory(equality)])).
% cnf(458,negated_conjecture,(esk22_0!=esk21_0),inference(cn,[status(thm)],[457,theory(equality)])).
% cnf(468,negated_conjecture,(~sdtmndtasgtdt0(esk22_0,xR,esk21_0)|~aElement0(esk21_0)),inference(er,[status(thm)],[434,theory(equality)])).
% cnf(469,negated_conjecture,(~sdtmndtasgtdt0(esk22_0,xR,esk21_0)|$false),inference(rw,[status(thm)],[468,429,theory(equality)])).
% cnf(470,negated_conjecture,(~sdtmndtasgtdt0(esk22_0,xR,esk21_0)),inference(cn,[status(thm)],[469,theory(equality)])).
% cnf(471,negated_conjecture,(~sdtmndtplgtdt0(esk21_0,xR,esk22_0)|~aElement0(esk22_0)),inference(er,[status(thm)],[447,theory(equality)])).
% cnf(472,negated_conjecture,(~sdtmndtplgtdt0(esk21_0,xR,esk22_0)|$false),inference(rw,[status(thm)],[471,428,theory(equality)])).
% cnf(473,negated_conjecture,(~sdtmndtplgtdt0(esk21_0,xR,esk22_0)),inference(cn,[status(thm)],[472,theory(equality)])).
% cnf(850,negated_conjecture,(aElement0(esk15_3(esk20_0,esk21_0,X1))|~sdtmndtasgtdt0(esk20_0,xR,X1)|~aElement0(esk21_0)|~aElement0(X1)|~aElement0(esk20_0)),inference(spm,[status(thm)],[125,423,theory(equality)])).
% cnf(854,negated_conjecture,(aElement0(esk15_3(esk20_0,esk21_0,X1))|~sdtmndtasgtdt0(esk20_0,xR,X1)|$false|~aElement0(X1)|~aElement0(esk20_0)),inference(rw,[status(thm)],[850,429,theory(equality)])).
% cnf(855,negated_conjecture,(aElement0(esk15_3(esk20_0,esk21_0,X1))|~sdtmndtasgtdt0(esk20_0,xR,X1)|$false|~aElement0(X1)|$false),inference(rw,[status(thm)],[854,430,theory(equality)])).
% cnf(856,negated_conjecture,(aElement0(esk15_3(esk20_0,esk21_0,X1))|~sdtmndtasgtdt0(esk20_0,xR,X1)|~aElement0(X1)),inference(cn,[status(thm)],[855,theory(equality)])).
% cnf(1311,negated_conjecture,(sdtmndtasgtdt0(esk21_0,xR,esk15_3(esk20_0,esk21_0,X1))|~sdtmndtasgtdt0(esk20_0,xR,X1)|~aElement0(esk21_0)|~aElement0(X1)|~aElement0(esk20_0)),inference(spm,[status(thm)],[120,423,theory(equality)])).
% cnf(1315,negated_conjecture,(sdtmndtasgtdt0(esk21_0,xR,esk15_3(esk20_0,esk21_0,X1))|~sdtmndtasgtdt0(esk20_0,xR,X1)|$false|~aElement0(X1)|~aElement0(esk20_0)),inference(rw,[status(thm)],[1311,429,theory(equality)])).
% cnf(1316,negated_conjecture,(sdtmndtasgtdt0(esk21_0,xR,esk15_3(esk20_0,esk21_0,X1))|~sdtmndtasgtdt0(esk20_0,xR,X1)|$false|~aElement0(X1)|$false),inference(rw,[status(thm)],[1315,430,theory(equality)])).
% cnf(1317,negated_conjecture,(sdtmndtasgtdt0(esk21_0,xR,esk15_3(esk20_0,esk21_0,X1))|~sdtmndtasgtdt0(esk20_0,xR,X1)|~aElement0(X1)),inference(cn,[status(thm)],[1316,theory(equality)])).
% cnf(1329,negated_conjecture,(sdtmndtasgtdt0(X1,xR,esk15_3(esk20_0,esk21_0,X1))|esk20_0=esk21_0|~sdtmndtplgtdt0(esk20_0,xR,X1)|~aElement0(esk21_0)|~aElement0(X1)|~aElement0(esk20_0)),inference(spm,[status(thm)],[181,424,theory(equality)])).
% cnf(1336,negated_conjecture,(sdtmndtasgtdt0(X1,xR,esk15_3(esk20_0,esk21_0,X1))|esk20_0=esk21_0|~sdtmndtplgtdt0(esk20_0,xR,X1)|$false|~aElement0(X1)|~aElement0(esk20_0)),inference(rw,[status(thm)],[1329,429,theory(equality)])).
% cnf(1337,negated_conjecture,(sdtmndtasgtdt0(X1,xR,esk15_3(esk20_0,esk21_0,X1))|esk20_0=esk21_0|~sdtmndtplgtdt0(esk20_0,xR,X1)|$false|~aElement0(X1)|$false),inference(rw,[status(thm)],[1336,430,theory(equality)])).
% cnf(1338,negated_conjecture,(sdtmndtasgtdt0(X1,xR,esk15_3(esk20_0,esk21_0,X1))|esk20_0=esk21_0|~sdtmndtplgtdt0(esk20_0,xR,X1)|~aElement0(X1)),inference(cn,[status(thm)],[1337,theory(equality)])).
% cnf(10989,negated_conjecture,(aElement0(esk15_3(esk20_0,esk21_0,esk22_0))|~aElement0(esk22_0)),inference(spm,[status(thm)],[856,418,theory(equality)])).
% cnf(11002,negated_conjecture,(aElement0(esk15_3(esk20_0,esk21_0,esk22_0))|$false),inference(rw,[status(thm)],[10989,428,theory(equality)])).
% cnf(11003,negated_conjecture,(aElement0(esk15_3(esk20_0,esk21_0,esk22_0))),inference(cn,[status(thm)],[11002,theory(equality)])).
% cnf(62153,negated_conjecture,(sdtmndtasgtdt0(esk21_0,xR,esk15_3(esk20_0,esk21_0,esk22_0))|~aElement0(esk22_0)),inference(spm,[status(thm)],[1317,418,theory(equality)])).
% cnf(62183,negated_conjecture,(sdtmndtasgtdt0(esk21_0,xR,esk15_3(esk20_0,esk21_0,esk22_0))|$false),inference(rw,[status(thm)],[62153,428,theory(equality)])).
% cnf(62184,negated_conjecture,(sdtmndtasgtdt0(esk21_0,xR,esk15_3(esk20_0,esk21_0,esk22_0))),inference(cn,[status(thm)],[62183,theory(equality)])).
% cnf(62615,negated_conjecture,(~sdtmndtasgtdt0(esk22_0,xR,esk15_3(esk20_0,esk21_0,esk22_0))|~aElement0(esk15_3(esk20_0,esk21_0,esk22_0))),inference(spm,[status(thm)],[431,62184,theory(equality)])).
% cnf(62858,negated_conjecture,(~sdtmndtasgtdt0(esk22_0,xR,esk15_3(esk20_0,esk21_0,esk22_0))|$false),inference(rw,[status(thm)],[62615,11003,theory(equality)])).
% cnf(62859,negated_conjecture,(~sdtmndtasgtdt0(esk22_0,xR,esk15_3(esk20_0,esk21_0,esk22_0))),inference(cn,[status(thm)],[62858,theory(equality)])).
% cnf(66846,negated_conjecture,(esk20_0=esk21_0|sdtmndtasgtdt0(esk22_0,xR,esk15_3(esk20_0,esk21_0,esk22_0))|esk20_0=esk22_0|~aElement0(esk22_0)),inference(spm,[status(thm)],[1338,419,theory(equality)])).
% cnf(66860,negated_conjecture,(esk20_0=esk21_0|sdtmndtasgtdt0(esk22_0,xR,esk15_3(esk20_0,esk21_0,esk22_0))|esk20_0=esk22_0|$false),inference(rw,[status(thm)],[66846,428,theory(equality)])).
% cnf(66861,negated_conjecture,(esk20_0=esk21_0|sdtmndtasgtdt0(esk22_0,xR,esk15_3(esk20_0,esk21_0,esk22_0))|esk20_0=esk22_0),inference(cn,[status(thm)],[66860,theory(equality)])).
% cnf(66862,negated_conjecture,(esk20_0=esk21_0|esk20_0=esk22_0),inference(sr,[status(thm)],[66861,62859,theory(equality)])).
% cnf(66873,negated_conjecture,(sdtmndtasgtdt0(esk22_0,xR,esk21_0)|esk20_0=esk21_0),inference(spm,[status(thm)],[423,66862,theory(equality)])).
% cnf(67201,negated_conjecture,(esk20_0=esk21_0),inference(sr,[status(thm)],[66873,470,theory(equality)])).
% cnf(68562,negated_conjecture,(esk21_0=esk22_0|sdtmndtplgtdt0(esk20_0,xR,esk22_0)),inference(rw,[status(thm)],[419,67201,theory(equality)])).
% cnf(68563,negated_conjecture,(esk21_0=esk22_0|sdtmndtplgtdt0(esk21_0,xR,esk22_0)),inference(rw,[status(thm)],[68562,67201,theory(equality)])).
% cnf(68564,negated_conjecture,(sdtmndtplgtdt0(esk21_0,xR,esk22_0)),inference(sr,[status(thm)],[68563,458,theory(equality)])).
% cnf(68565,negated_conjecture,($false),inference(sr,[status(thm)],[68564,473,theory(equality)])).
% cnf(68566,negated_conjecture,($false),68565,['proof']).
% # SZS output end CNFRefutation
% # Processed clauses : 1667
% # ...of these trivial : 62
% # ...subsumed : 265
% # ...remaining for further processing: 1340
% # Other redundant clauses eliminated : 111
% # Clauses deleted for lack of memory : 0
% # Backward-subsumed : 327
% # Backward-rewritten : 519
% # Generated clauses : 21450
% # ...of the previous two non-trivial : 20966
% # Contextual simplify-reflections : 446
% # Paramodulations : 21340
% # Factorizations : 1
% # Equation resolutions : 120
% # Current number of processed clauses: 394
% # Positive orientable unit clauses: 32
% # Positive unorientable unit clauses: 0
% # Negative unit clauses : 21
% # Non-unit-clauses : 341
% # Current number of unprocessed clauses: 2108
% # ...number of literals in the above : 12177
% # Clause-clause subsumption calls (NU) : 22737
% # Rec. Clause-clause subsumption calls : 5949
% # Unit Clause-clause subsumption calls : 1401
% # Rewrite failures with RHS unbound : 0
% # Indexed BW rewrite attempts : 1546
% # Indexed BW rewrite successes : 63
% # Backwards rewriting index: 146 leaves, 2.18+/-3.256 terms/leaf
% # Paramod-from index: 39 leaves, 1.67+/-1.508 terms/leaf
% # Paramod-into index: 97 leaves, 1.96+/-2.243 terms/leaf
% # -------------------------------------------------
% # User time : 1.362 s
% # System time : 0.032 s
% # Total time : 1.394 s
% # Maximum resident set size: 0 pages
% PrfWatch: 2.61 CPU 2.71 WC
% FINAL PrfWatch: 2.61 CPU 2.71 WC
% SZS output end Solution for /tmp/SystemOnTPTP15731/COM023+4.tptp
%
%------------------------------------------------------------------------------