TSTP Solution File: COM022+4 by SRASS---0.1
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- Process Solution
%------------------------------------------------------------------------------
% File : SRASS---0.1
% Problem : COM022+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 : art09.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 22:43:06 EST 2010
% Result : Theorem 1.16s
% Output : Solution 1.16s
% 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/SystemOnTPTP11524/COM022+4.tptp
% Adding relevance values
% Extracting the conjecture
% Sorting axioms by relevance
% Looking for THM ...
% found
% SZS status THM for /tmp/SystemOnTPTP11524/COM022+4.tptp
% SZS output start Solution for /tmp/SystemOnTPTP11524/COM022+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 11620
% TreeLimitedRun: ----------------------------------------------------------
% PrfWatch: 0.00 CPU 0.00 WC
% # Preprocessing time : 0.042 s
% # Problem is unsatisfiable (or provable), constructing proof object
% # SZS status Theorem
% # SZS output start CNFRefutation.
% fof(12, axiom,((aElement0(xa)&aElement0(xb))&aElement0(xc)),file('/tmp/SRASS.s.p', m__731)).
% fof(19, conjecture,(((((aReductOfIn0(xb,xa,xR)|?[X1]:((aElement0(X1)&aReductOfIn0(X1,xa,xR))&sdtmndtplgtdt0(X1,xR,xb)))|sdtmndtplgtdt0(xa,xR,xb))&((aReductOfIn0(xc,xa,xR)|?[X1]:((aElement0(X1)&aReductOfIn0(X1,xa,xR))&sdtmndtplgtdt0(X1,xR,xc)))|sdtmndtplgtdt0(xa,xR,xc)))=>?[X1]:((((aElement0(X1)&aReductOfIn0(X1,xa,xR))&(X1=xb|((aReductOfIn0(xb,X1,xR)|?[X2]:((aElement0(X2)&aReductOfIn0(X2,X1,xR))&sdtmndtplgtdt0(X2,xR,xb)))&sdtmndtplgtdt0(X1,xR,xb))))&sdtmndtasgtdt0(X1,xR,xb))&?[X2]:((((aElement0(X2)&aReductOfIn0(X2,xa,xR))&(X2=xc|((aReductOfIn0(xc,X2,xR)|?[X3]:((aElement0(X3)&aReductOfIn0(X3,X2,xR))&sdtmndtplgtdt0(X3,xR,xc)))&sdtmndtplgtdt0(X2,xR,xc))))&sdtmndtasgtdt0(X2,xR,xc))&?[X3]:(((((aElement0(X3)&(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))&(X2=X3|((aReductOfIn0(X3,X2,xR)|?[X4]:((aElement0(X4)&aReductOfIn0(X4,X2,xR))&sdtmndtplgtdt0(X4,xR,X3)))&sdtmndtplgtdt0(X2,xR,X3))))&sdtmndtasgtdt0(X2,xR,X3))&?[X4]:((((((((aElement0(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))&~(?[X5]:aReductOfIn0(X5,X4,xR)))&aNormalFormOfIn0(X4,X3,xR))&(xb=X4|((aReductOfIn0(X4,xb,xR)|?[X5]:((aElement0(X5)&aReductOfIn0(X5,xb,xR))&sdtmndtplgtdt0(X5,xR,X4)))&sdtmndtplgtdt0(xb,xR,X4))))&sdtmndtasgtdt0(xb,xR,X4))&(xc=X4|((aReductOfIn0(X4,xc,xR)|?[X5]:((aElement0(X5)&aReductOfIn0(X5,xc,xR))&sdtmndtplgtdt0(X5,xR,X4)))&sdtmndtplgtdt0(xc,xR,X4))))&sdtmndtasgtdt0(xc,xR,X4))))))=>(((((xa=xb|((aReductOfIn0(xb,xa,xR)|?[X1]:((aElement0(X1)&aReductOfIn0(X1,xa,xR))&sdtmndtplgtdt0(X1,xR,xb)))&sdtmndtplgtdt0(xa,xR,xb)))&sdtmndtasgtdt0(xa,xR,xb))&(xa=xc|((aReductOfIn0(xc,xa,xR)|?[X1]:((aElement0(X1)&aReductOfIn0(X1,xa,xR))&sdtmndtplgtdt0(X1,xR,xc)))&sdtmndtplgtdt0(xa,xR,xc))))&sdtmndtasgtdt0(xa,xR,xc))=>?[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)))&((((xc=X1|aReductOfIn0(X1,xc,xR))|?[X2]:((aElement0(X2)&aReductOfIn0(X2,xc,xR))&sdtmndtplgtdt0(X2,xR,X1)))|sdtmndtplgtdt0(xc,xR,X1))|sdtmndtasgtdt0(xc,xR,X1))))),file('/tmp/SRASS.s.p', m__)).
% fof(20, negated_conjecture,~((((((aReductOfIn0(xb,xa,xR)|?[X1]:((aElement0(X1)&aReductOfIn0(X1,xa,xR))&sdtmndtplgtdt0(X1,xR,xb)))|sdtmndtplgtdt0(xa,xR,xb))&((aReductOfIn0(xc,xa,xR)|?[X1]:((aElement0(X1)&aReductOfIn0(X1,xa,xR))&sdtmndtplgtdt0(X1,xR,xc)))|sdtmndtplgtdt0(xa,xR,xc)))=>?[X1]:((((aElement0(X1)&aReductOfIn0(X1,xa,xR))&(X1=xb|((aReductOfIn0(xb,X1,xR)|?[X2]:((aElement0(X2)&aReductOfIn0(X2,X1,xR))&sdtmndtplgtdt0(X2,xR,xb)))&sdtmndtplgtdt0(X1,xR,xb))))&sdtmndtasgtdt0(X1,xR,xb))&?[X2]:((((aElement0(X2)&aReductOfIn0(X2,xa,xR))&(X2=xc|((aReductOfIn0(xc,X2,xR)|?[X3]:((aElement0(X3)&aReductOfIn0(X3,X2,xR))&sdtmndtplgtdt0(X3,xR,xc)))&sdtmndtplgtdt0(X2,xR,xc))))&sdtmndtasgtdt0(X2,xR,xc))&?[X3]:(((((aElement0(X3)&(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))&(X2=X3|((aReductOfIn0(X3,X2,xR)|?[X4]:((aElement0(X4)&aReductOfIn0(X4,X2,xR))&sdtmndtplgtdt0(X4,xR,X3)))&sdtmndtplgtdt0(X2,xR,X3))))&sdtmndtasgtdt0(X2,xR,X3))&?[X4]:((((((((aElement0(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))&~(?[X5]:aReductOfIn0(X5,X4,xR)))&aNormalFormOfIn0(X4,X3,xR))&(xb=X4|((aReductOfIn0(X4,xb,xR)|?[X5]:((aElement0(X5)&aReductOfIn0(X5,xb,xR))&sdtmndtplgtdt0(X5,xR,X4)))&sdtmndtplgtdt0(xb,xR,X4))))&sdtmndtasgtdt0(xb,xR,X4))&(xc=X4|((aReductOfIn0(X4,xc,xR)|?[X5]:((aElement0(X5)&aReductOfIn0(X5,xc,xR))&sdtmndtplgtdt0(X5,xR,X4)))&sdtmndtplgtdt0(xc,xR,X4))))&sdtmndtasgtdt0(xc,xR,X4))))))=>(((((xa=xb|((aReductOfIn0(xb,xa,xR)|?[X1]:((aElement0(X1)&aReductOfIn0(X1,xa,xR))&sdtmndtplgtdt0(X1,xR,xb)))&sdtmndtplgtdt0(xa,xR,xb)))&sdtmndtasgtdt0(xa,xR,xb))&(xa=xc|((aReductOfIn0(xc,xa,xR)|?[X1]:((aElement0(X1)&aReductOfIn0(X1,xa,xR))&sdtmndtplgtdt0(X1,xR,xc)))&sdtmndtplgtdt0(xa,xR,xc))))&sdtmndtasgtdt0(xa,xR,xc))=>?[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)))&((((xc=X1|aReductOfIn0(X1,xc,xR))|?[X2]:((aElement0(X2)&aReductOfIn0(X2,xc,xR))&sdtmndtplgtdt0(X2,xR,X1)))|sdtmndtplgtdt0(xc,xR,X1))|sdtmndtasgtdt0(xc,xR,X1)))))),inference(assume_negation,[status(cth)],[19])).
% fof(25, plain,(epred1_0=>?[X1]:((((aElement0(X1)&aReductOfIn0(X1,xa,xR))&(X1=xb|((aReductOfIn0(xb,X1,xR)|?[X2]:((aElement0(X2)&aReductOfIn0(X2,X1,xR))&sdtmndtplgtdt0(X2,xR,xb)))&sdtmndtplgtdt0(X1,xR,xb))))&sdtmndtasgtdt0(X1,xR,xb))&?[X2]:((((aElement0(X2)&aReductOfIn0(X2,xa,xR))&(X2=xc|((aReductOfIn0(xc,X2,xR)|?[X3]:((aElement0(X3)&aReductOfIn0(X3,X2,xR))&sdtmndtplgtdt0(X3,xR,xc)))&sdtmndtplgtdt0(X2,xR,xc))))&sdtmndtasgtdt0(X2,xR,xc))&?[X3]:(((((aElement0(X3)&(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))&(X2=X3|((aReductOfIn0(X3,X2,xR)|?[X4]:((aElement0(X4)&aReductOfIn0(X4,X2,xR))&sdtmndtplgtdt0(X4,xR,X3)))&sdtmndtplgtdt0(X2,xR,X3))))&sdtmndtasgtdt0(X2,xR,X3))&?[X4]:((((((((aElement0(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))&~(?[X5]:aReductOfIn0(X5,X4,xR)))&aNormalFormOfIn0(X4,X3,xR))&(xb=X4|((aReductOfIn0(X4,xb,xR)|?[X5]:((aElement0(X5)&aReductOfIn0(X5,xb,xR))&sdtmndtplgtdt0(X5,xR,X4)))&sdtmndtplgtdt0(xb,xR,X4))))&sdtmndtasgtdt0(xb,xR,X4))&(xc=X4|((aReductOfIn0(X4,xc,xR)|?[X5]:((aElement0(X5)&aReductOfIn0(X5,xc,xR))&sdtmndtplgtdt0(X5,xR,X4)))&sdtmndtplgtdt0(xc,xR,X4))))&sdtmndtasgtdt0(xc,xR,X4)))))),introduced(definition)).
% fof(26, negated_conjecture,~((((((aReductOfIn0(xb,xa,xR)|?[X1]:((aElement0(X1)&aReductOfIn0(X1,xa,xR))&sdtmndtplgtdt0(X1,xR,xb)))|sdtmndtplgtdt0(xa,xR,xb))&((aReductOfIn0(xc,xa,xR)|?[X1]:((aElement0(X1)&aReductOfIn0(X1,xa,xR))&sdtmndtplgtdt0(X1,xR,xc)))|sdtmndtplgtdt0(xa,xR,xc)))=>epred1_0)=>(((((xa=xb|((aReductOfIn0(xb,xa,xR)|?[X1]:((aElement0(X1)&aReductOfIn0(X1,xa,xR))&sdtmndtplgtdt0(X1,xR,xb)))&sdtmndtplgtdt0(xa,xR,xb)))&sdtmndtasgtdt0(xa,xR,xb))&(xa=xc|((aReductOfIn0(xc,xa,xR)|?[X1]:((aElement0(X1)&aReductOfIn0(X1,xa,xR))&sdtmndtplgtdt0(X1,xR,xc)))&sdtmndtplgtdt0(xa,xR,xc))))&sdtmndtasgtdt0(xa,xR,xc))=>?[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)))&((((xc=X1|aReductOfIn0(X1,xc,xR))|?[X2]:((aElement0(X2)&aReductOfIn0(X2,xc,xR))&sdtmndtplgtdt0(X2,xR,X1)))|sdtmndtplgtdt0(xc,xR,X1))|sdtmndtasgtdt0(xc,xR,X1)))))),inference(apply_def,[status(esa)],[20,25,theory(equality)])).
% cnf(113,plain,(aElement0(xc)),inference(split_conjunct,[status(thm)],[12])).
% cnf(114,plain,(aElement0(xb)),inference(split_conjunct,[status(thm)],[12])).
% fof(418, negated_conjecture,(((((~(aReductOfIn0(xb,xa,xR))&![X1]:((~(aElement0(X1))|~(aReductOfIn0(X1,xa,xR)))|~(sdtmndtplgtdt0(X1,xR,xb))))&~(sdtmndtplgtdt0(xa,xR,xb)))|((~(aReductOfIn0(xc,xa,xR))&![X1]:((~(aElement0(X1))|~(aReductOfIn0(X1,xa,xR)))|~(sdtmndtplgtdt0(X1,xR,xc))))&~(sdtmndtplgtdt0(xa,xR,xc))))|epred1_0)&(((((xa=xb|((aReductOfIn0(xb,xa,xR)|?[X1]:((aElement0(X1)&aReductOfIn0(X1,xa,xR))&sdtmndtplgtdt0(X1,xR,xb)))&sdtmndtplgtdt0(xa,xR,xb)))&sdtmndtasgtdt0(xa,xR,xb))&(xa=xc|((aReductOfIn0(xc,xa,xR)|?[X1]:((aElement0(X1)&aReductOfIn0(X1,xa,xR))&sdtmndtplgtdt0(X1,xR,xc)))&sdtmndtplgtdt0(xa,xR,xc))))&sdtmndtasgtdt0(xa,xR,xc))&![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))))|((((~(xc=X1)&~(aReductOfIn0(X1,xc,xR)))&![X2]:((~(aElement0(X2))|~(aReductOfIn0(X2,xc,xR)))|~(sdtmndtplgtdt0(X2,xR,X1))))&~(sdtmndtplgtdt0(xc,xR,X1)))&~(sdtmndtasgtdt0(xc,xR,X1)))))),inference(fof_nnf,[status(thm)],[26])).
% fof(419, negated_conjecture,(((((~(aReductOfIn0(xb,xa,xR))&![X3]:((~(aElement0(X3))|~(aReductOfIn0(X3,xa,xR)))|~(sdtmndtplgtdt0(X3,xR,xb))))&~(sdtmndtplgtdt0(xa,xR,xb)))|((~(aReductOfIn0(xc,xa,xR))&![X4]:((~(aElement0(X4))|~(aReductOfIn0(X4,xa,xR)))|~(sdtmndtplgtdt0(X4,xR,xc))))&~(sdtmndtplgtdt0(xa,xR,xc))))|epred1_0)&(((((xa=xb|((aReductOfIn0(xb,xa,xR)|?[X5]:((aElement0(X5)&aReductOfIn0(X5,xa,xR))&sdtmndtplgtdt0(X5,xR,xb)))&sdtmndtplgtdt0(xa,xR,xb)))&sdtmndtasgtdt0(xa,xR,xb))&(xa=xc|((aReductOfIn0(xc,xa,xR)|?[X6]:((aElement0(X6)&aReductOfIn0(X6,xa,xR))&sdtmndtplgtdt0(X6,xR,xc)))&sdtmndtplgtdt0(xa,xR,xc))))&sdtmndtasgtdt0(xa,xR,xc))&![X7]:((~(aElement0(X7))|((((~(xb=X7)&~(aReductOfIn0(X7,xb,xR)))&![X8]:((~(aElement0(X8))|~(aReductOfIn0(X8,xb,xR)))|~(sdtmndtplgtdt0(X8,xR,X7))))&~(sdtmndtplgtdt0(xb,xR,X7)))&~(sdtmndtasgtdt0(xb,xR,X7))))|((((~(xc=X7)&~(aReductOfIn0(X7,xc,xR)))&![X9]:((~(aElement0(X9))|~(aReductOfIn0(X9,xc,xR)))|~(sdtmndtplgtdt0(X9,xR,X7))))&~(sdtmndtplgtdt0(xc,xR,X7)))&~(sdtmndtasgtdt0(xc,xR,X7)))))),inference(variable_rename,[status(thm)],[418])).
% fof(420, negated_conjecture,(((((~(aReductOfIn0(xb,xa,xR))&![X3]:((~(aElement0(X3))|~(aReductOfIn0(X3,xa,xR)))|~(sdtmndtplgtdt0(X3,xR,xb))))&~(sdtmndtplgtdt0(xa,xR,xb)))|((~(aReductOfIn0(xc,xa,xR))&![X4]:((~(aElement0(X4))|~(aReductOfIn0(X4,xa,xR)))|~(sdtmndtplgtdt0(X4,xR,xc))))&~(sdtmndtplgtdt0(xa,xR,xc))))|epred1_0)&(((((xa=xb|((aReductOfIn0(xb,xa,xR)|((aElement0(esk20_0)&aReductOfIn0(esk20_0,xa,xR))&sdtmndtplgtdt0(esk20_0,xR,xb)))&sdtmndtplgtdt0(xa,xR,xb)))&sdtmndtasgtdt0(xa,xR,xb))&(xa=xc|((aReductOfIn0(xc,xa,xR)|((aElement0(esk21_0)&aReductOfIn0(esk21_0,xa,xR))&sdtmndtplgtdt0(esk21_0,xR,xc)))&sdtmndtplgtdt0(xa,xR,xc))))&sdtmndtasgtdt0(xa,xR,xc))&![X7]:((~(aElement0(X7))|((((~(xb=X7)&~(aReductOfIn0(X7,xb,xR)))&![X8]:((~(aElement0(X8))|~(aReductOfIn0(X8,xb,xR)))|~(sdtmndtplgtdt0(X8,xR,X7))))&~(sdtmndtplgtdt0(xb,xR,X7)))&~(sdtmndtasgtdt0(xb,xR,X7))))|((((~(xc=X7)&~(aReductOfIn0(X7,xc,xR)))&![X9]:((~(aElement0(X9))|~(aReductOfIn0(X9,xc,xR)))|~(sdtmndtplgtdt0(X9,xR,X7))))&~(sdtmndtplgtdt0(xc,xR,X7)))&~(sdtmndtasgtdt0(xc,xR,X7)))))),inference(skolemize,[status(esa)],[419])).
% fof(421, negated_conjecture,![X3]:![X4]:![X7]:![X8]:![X9]:((((((((~(aElement0(X9))|~(aReductOfIn0(X9,xc,xR)))|~(sdtmndtplgtdt0(X9,xR,X7)))&(~(xc=X7)&~(aReductOfIn0(X7,xc,xR))))&~(sdtmndtplgtdt0(xc,xR,X7)))&~(sdtmndtasgtdt0(xc,xR,X7)))|((((((~(aElement0(X8))|~(aReductOfIn0(X8,xb,xR)))|~(sdtmndtplgtdt0(X8,xR,X7)))&(~(xb=X7)&~(aReductOfIn0(X7,xb,xR))))&~(sdtmndtplgtdt0(xb,xR,X7)))&~(sdtmndtasgtdt0(xb,xR,X7)))|~(aElement0(X7))))&((((xa=xb|((aReductOfIn0(xb,xa,xR)|((aElement0(esk20_0)&aReductOfIn0(esk20_0,xa,xR))&sdtmndtplgtdt0(esk20_0,xR,xb)))&sdtmndtplgtdt0(xa,xR,xb)))&sdtmndtasgtdt0(xa,xR,xb))&(xa=xc|((aReductOfIn0(xc,xa,xR)|((aElement0(esk21_0)&aReductOfIn0(esk21_0,xa,xR))&sdtmndtplgtdt0(esk21_0,xR,xc)))&sdtmndtplgtdt0(xa,xR,xc))))&sdtmndtasgtdt0(xa,xR,xc)))&((((((~(aElement0(X4))|~(aReductOfIn0(X4,xa,xR)))|~(sdtmndtplgtdt0(X4,xR,xc)))&~(aReductOfIn0(xc,xa,xR)))&~(sdtmndtplgtdt0(xa,xR,xc)))|((((~(aElement0(X3))|~(aReductOfIn0(X3,xa,xR)))|~(sdtmndtplgtdt0(X3,xR,xb)))&~(aReductOfIn0(xb,xa,xR)))&~(sdtmndtplgtdt0(xa,xR,xb))))|epred1_0)),inference(shift_quantors,[status(thm)],[420])).
% fof(422, negated_conjecture,![X3]:![X4]:![X7]:![X8]:![X9]:((((((((((((~(aElement0(X8))|~(aReductOfIn0(X8,xb,xR)))|~(sdtmndtplgtdt0(X8,xR,X7)))|~(aElement0(X7)))|((~(aElement0(X9))|~(aReductOfIn0(X9,xc,xR)))|~(sdtmndtplgtdt0(X9,xR,X7))))&(((~(xb=X7)|~(aElement0(X7)))|((~(aElement0(X9))|~(aReductOfIn0(X9,xc,xR)))|~(sdtmndtplgtdt0(X9,xR,X7))))&((~(aReductOfIn0(X7,xb,xR))|~(aElement0(X7)))|((~(aElement0(X9))|~(aReductOfIn0(X9,xc,xR)))|~(sdtmndtplgtdt0(X9,xR,X7))))))&((~(sdtmndtplgtdt0(xb,xR,X7))|~(aElement0(X7)))|((~(aElement0(X9))|~(aReductOfIn0(X9,xc,xR)))|~(sdtmndtplgtdt0(X9,xR,X7)))))&((~(sdtmndtasgtdt0(xb,xR,X7))|~(aElement0(X7)))|((~(aElement0(X9))|~(aReductOfIn0(X9,xc,xR)))|~(sdtmndtplgtdt0(X9,xR,X7)))))&((((((((~(aElement0(X8))|~(aReductOfIn0(X8,xb,xR)))|~(sdtmndtplgtdt0(X8,xR,X7)))|~(aElement0(X7)))|~(xc=X7))&(((~(xb=X7)|~(aElement0(X7)))|~(xc=X7))&((~(aReductOfIn0(X7,xb,xR))|~(aElement0(X7)))|~(xc=X7))))&((~(sdtmndtplgtdt0(xb,xR,X7))|~(aElement0(X7)))|~(xc=X7)))&((~(sdtmndtasgtdt0(xb,xR,X7))|~(aElement0(X7)))|~(xc=X7)))&(((((((~(aElement0(X8))|~(aReductOfIn0(X8,xb,xR)))|~(sdtmndtplgtdt0(X8,xR,X7)))|~(aElement0(X7)))|~(aReductOfIn0(X7,xc,xR)))&(((~(xb=X7)|~(aElement0(X7)))|~(aReductOfIn0(X7,xc,xR)))&((~(aReductOfIn0(X7,xb,xR))|~(aElement0(X7)))|~(aReductOfIn0(X7,xc,xR)))))&((~(sdtmndtplgtdt0(xb,xR,X7))|~(aElement0(X7)))|~(aReductOfIn0(X7,xc,xR))))&((~(sdtmndtasgtdt0(xb,xR,X7))|~(aElement0(X7)))|~(aReductOfIn0(X7,xc,xR))))))&(((((((~(aElement0(X8))|~(aReductOfIn0(X8,xb,xR)))|~(sdtmndtplgtdt0(X8,xR,X7)))|~(aElement0(X7)))|~(sdtmndtplgtdt0(xc,xR,X7)))&(((~(xb=X7)|~(aElement0(X7)))|~(sdtmndtplgtdt0(xc,xR,X7)))&((~(aReductOfIn0(X7,xb,xR))|~(aElement0(X7)))|~(sdtmndtplgtdt0(xc,xR,X7)))))&((~(sdtmndtplgtdt0(xb,xR,X7))|~(aElement0(X7)))|~(sdtmndtplgtdt0(xc,xR,X7))))&((~(sdtmndtasgtdt0(xb,xR,X7))|~(aElement0(X7)))|~(sdtmndtplgtdt0(xc,xR,X7)))))&(((((((~(aElement0(X8))|~(aReductOfIn0(X8,xb,xR)))|~(sdtmndtplgtdt0(X8,xR,X7)))|~(aElement0(X7)))|~(sdtmndtasgtdt0(xc,xR,X7)))&(((~(xb=X7)|~(aElement0(X7)))|~(sdtmndtasgtdt0(xc,xR,X7)))&((~(aReductOfIn0(X7,xb,xR))|~(aElement0(X7)))|~(sdtmndtasgtdt0(xc,xR,X7)))))&((~(sdtmndtplgtdt0(xb,xR,X7))|~(aElement0(X7)))|~(sdtmndtasgtdt0(xc,xR,X7))))&((~(sdtmndtasgtdt0(xb,xR,X7))|~(aElement0(X7)))|~(sdtmndtasgtdt0(xc,xR,X7)))))&((((((((aElement0(esk20_0)|aReductOfIn0(xb,xa,xR))|xa=xb)&((aReductOfIn0(esk20_0,xa,xR)|aReductOfIn0(xb,xa,xR))|xa=xb))&((sdtmndtplgtdt0(esk20_0,xR,xb)|aReductOfIn0(xb,xa,xR))|xa=xb))&(sdtmndtplgtdt0(xa,xR,xb)|xa=xb))&sdtmndtasgtdt0(xa,xR,xb))&(((((aElement0(esk21_0)|aReductOfIn0(xc,xa,xR))|xa=xc)&((aReductOfIn0(esk21_0,xa,xR)|aReductOfIn0(xc,xa,xR))|xa=xc))&((sdtmndtplgtdt0(esk21_0,xR,xc)|aReductOfIn0(xc,xa,xR))|xa=xc))&(sdtmndtplgtdt0(xa,xR,xc)|xa=xc)))&sdtmndtasgtdt0(xa,xR,xc)))&((((((((~(aElement0(X3))|~(aReductOfIn0(X3,xa,xR)))|~(sdtmndtplgtdt0(X3,xR,xb)))|((~(aElement0(X4))|~(aReductOfIn0(X4,xa,xR)))|~(sdtmndtplgtdt0(X4,xR,xc))))|epred1_0)&((~(aReductOfIn0(xb,xa,xR))|((~(aElement0(X4))|~(aReductOfIn0(X4,xa,xR)))|~(sdtmndtplgtdt0(X4,xR,xc))))|epred1_0))&((~(sdtmndtplgtdt0(xa,xR,xb))|((~(aElement0(X4))|~(aReductOfIn0(X4,xa,xR)))|~(sdtmndtplgtdt0(X4,xR,xc))))|epred1_0))&((((((~(aElement0(X3))|~(aReductOfIn0(X3,xa,xR)))|~(sdtmndtplgtdt0(X3,xR,xb)))|~(aReductOfIn0(xc,xa,xR)))|epred1_0)&((~(aReductOfIn0(xb,xa,xR))|~(aReductOfIn0(xc,xa,xR)))|epred1_0))&((~(sdtmndtplgtdt0(xa,xR,xb))|~(aReductOfIn0(xc,xa,xR)))|epred1_0)))&((((((~(aElement0(X3))|~(aReductOfIn0(X3,xa,xR)))|~(sdtmndtplgtdt0(X3,xR,xb)))|~(sdtmndtplgtdt0(xa,xR,xc)))|epred1_0)&((~(aReductOfIn0(xb,xa,xR))|~(sdtmndtplgtdt0(xa,xR,xc)))|epred1_0))&((~(sdtmndtplgtdt0(xa,xR,xb))|~(sdtmndtplgtdt0(xa,xR,xc)))|epred1_0)))),inference(distribute,[status(thm)],[421])).
% cnf(423,negated_conjecture,(epred1_0|~sdtmndtplgtdt0(xa,xR,xc)|~sdtmndtplgtdt0(xa,xR,xb)),inference(split_conjunct,[status(thm)],[422])).
% cnf(432,negated_conjecture,(sdtmndtasgtdt0(xa,xR,xc)),inference(split_conjunct,[status(thm)],[422])).
% cnf(433,negated_conjecture,(xa=xc|sdtmndtplgtdt0(xa,xR,xc)),inference(split_conjunct,[status(thm)],[422])).
% cnf(437,negated_conjecture,(sdtmndtasgtdt0(xa,xR,xb)),inference(split_conjunct,[status(thm)],[422])).
% cnf(438,negated_conjecture,(xa=xb|sdtmndtplgtdt0(xa,xR,xb)),inference(split_conjunct,[status(thm)],[422])).
% cnf(442,negated_conjecture,(~sdtmndtasgtdt0(xc,xR,X1)|~aElement0(X1)|~sdtmndtasgtdt0(xb,xR,X1)),inference(split_conjunct,[status(thm)],[422])).
% cnf(445,negated_conjecture,(~sdtmndtasgtdt0(xc,xR,X1)|~aElement0(X1)|xb!=X1),inference(split_conjunct,[status(thm)],[422])).
% cnf(457,negated_conjecture,(xc!=X1|~aElement0(X1)|~sdtmndtasgtdt0(xb,xR,X1)),inference(split_conjunct,[status(thm)],[422])).
% fof(467, plain,(~(epred1_0)|?[X1]:((((aElement0(X1)&aReductOfIn0(X1,xa,xR))&(X1=xb|((aReductOfIn0(xb,X1,xR)|?[X2]:((aElement0(X2)&aReductOfIn0(X2,X1,xR))&sdtmndtplgtdt0(X2,xR,xb)))&sdtmndtplgtdt0(X1,xR,xb))))&sdtmndtasgtdt0(X1,xR,xb))&?[X2]:((((aElement0(X2)&aReductOfIn0(X2,xa,xR))&(X2=xc|((aReductOfIn0(xc,X2,xR)|?[X3]:((aElement0(X3)&aReductOfIn0(X3,X2,xR))&sdtmndtplgtdt0(X3,xR,xc)))&sdtmndtplgtdt0(X2,xR,xc))))&sdtmndtasgtdt0(X2,xR,xc))&?[X3]:(((((aElement0(X3)&(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))&(X2=X3|((aReductOfIn0(X3,X2,xR)|?[X4]:((aElement0(X4)&aReductOfIn0(X4,X2,xR))&sdtmndtplgtdt0(X4,xR,X3)))&sdtmndtplgtdt0(X2,xR,X3))))&sdtmndtasgtdt0(X2,xR,X3))&?[X4]:((((((((aElement0(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))&![X5]:~(aReductOfIn0(X5,X4,xR)))&aNormalFormOfIn0(X4,X3,xR))&(xb=X4|((aReductOfIn0(X4,xb,xR)|?[X5]:((aElement0(X5)&aReductOfIn0(X5,xb,xR))&sdtmndtplgtdt0(X5,xR,X4)))&sdtmndtplgtdt0(xb,xR,X4))))&sdtmndtasgtdt0(xb,xR,X4))&(xc=X4|((aReductOfIn0(X4,xc,xR)|?[X5]:((aElement0(X5)&aReductOfIn0(X5,xc,xR))&sdtmndtplgtdt0(X5,xR,X4)))&sdtmndtplgtdt0(xc,xR,X4))))&sdtmndtasgtdt0(xc,xR,X4)))))),inference(fof_nnf,[status(thm)],[25])).
% fof(468, plain,(~(epred1_0)|?[X6]:((((aElement0(X6)&aReductOfIn0(X6,xa,xR))&(X6=xb|((aReductOfIn0(xb,X6,xR)|?[X7]:((aElement0(X7)&aReductOfIn0(X7,X6,xR))&sdtmndtplgtdt0(X7,xR,xb)))&sdtmndtplgtdt0(X6,xR,xb))))&sdtmndtasgtdt0(X6,xR,xb))&?[X8]:((((aElement0(X8)&aReductOfIn0(X8,xa,xR))&(X8=xc|((aReductOfIn0(xc,X8,xR)|?[X9]:((aElement0(X9)&aReductOfIn0(X9,X8,xR))&sdtmndtplgtdt0(X9,xR,xc)))&sdtmndtplgtdt0(X8,xR,xc))))&sdtmndtasgtdt0(X8,xR,xc))&?[X10]:(((((aElement0(X10)&(X6=X10|((aReductOfIn0(X10,X6,xR)|?[X11]:((aElement0(X11)&aReductOfIn0(X11,X6,xR))&sdtmndtplgtdt0(X11,xR,X10)))&sdtmndtplgtdt0(X6,xR,X10))))&sdtmndtasgtdt0(X6,xR,X10))&(X8=X10|((aReductOfIn0(X10,X8,xR)|?[X12]:((aElement0(X12)&aReductOfIn0(X12,X8,xR))&sdtmndtplgtdt0(X12,xR,X10)))&sdtmndtplgtdt0(X8,xR,X10))))&sdtmndtasgtdt0(X8,xR,X10))&?[X13]:((((((((aElement0(X13)&(X10=X13|((aReductOfIn0(X13,X10,xR)|?[X14]:((aElement0(X14)&aReductOfIn0(X14,X10,xR))&sdtmndtplgtdt0(X14,xR,X13)))&sdtmndtplgtdt0(X10,xR,X13))))&sdtmndtasgtdt0(X10,xR,X13))&![X15]:~(aReductOfIn0(X15,X13,xR)))&aNormalFormOfIn0(X13,X10,xR))&(xb=X13|((aReductOfIn0(X13,xb,xR)|?[X16]:((aElement0(X16)&aReductOfIn0(X16,xb,xR))&sdtmndtplgtdt0(X16,xR,X13)))&sdtmndtplgtdt0(xb,xR,X13))))&sdtmndtasgtdt0(xb,xR,X13))&(xc=X13|((aReductOfIn0(X13,xc,xR)|?[X17]:((aElement0(X17)&aReductOfIn0(X17,xc,xR))&sdtmndtplgtdt0(X17,xR,X13)))&sdtmndtplgtdt0(xc,xR,X13))))&sdtmndtasgtdt0(xc,xR,X13)))))),inference(variable_rename,[status(thm)],[467])).
% fof(469, plain,(~(epred1_0)|((((aElement0(esk22_0)&aReductOfIn0(esk22_0,xa,xR))&(esk22_0=xb|((aReductOfIn0(xb,esk22_0,xR)|((aElement0(esk23_0)&aReductOfIn0(esk23_0,esk22_0,xR))&sdtmndtplgtdt0(esk23_0,xR,xb)))&sdtmndtplgtdt0(esk22_0,xR,xb))))&sdtmndtasgtdt0(esk22_0,xR,xb))&((((aElement0(esk24_0)&aReductOfIn0(esk24_0,xa,xR))&(esk24_0=xc|((aReductOfIn0(xc,esk24_0,xR)|((aElement0(esk25_0)&aReductOfIn0(esk25_0,esk24_0,xR))&sdtmndtplgtdt0(esk25_0,xR,xc)))&sdtmndtplgtdt0(esk24_0,xR,xc))))&sdtmndtasgtdt0(esk24_0,xR,xc))&(((((aElement0(esk26_0)&(esk22_0=esk26_0|((aReductOfIn0(esk26_0,esk22_0,xR)|((aElement0(esk27_0)&aReductOfIn0(esk27_0,esk22_0,xR))&sdtmndtplgtdt0(esk27_0,xR,esk26_0)))&sdtmndtplgtdt0(esk22_0,xR,esk26_0))))&sdtmndtasgtdt0(esk22_0,xR,esk26_0))&(esk24_0=esk26_0|((aReductOfIn0(esk26_0,esk24_0,xR)|((aElement0(esk28_0)&aReductOfIn0(esk28_0,esk24_0,xR))&sdtmndtplgtdt0(esk28_0,xR,esk26_0)))&sdtmndtplgtdt0(esk24_0,xR,esk26_0))))&sdtmndtasgtdt0(esk24_0,xR,esk26_0))&((((((((aElement0(esk29_0)&(esk26_0=esk29_0|((aReductOfIn0(esk29_0,esk26_0,xR)|((aElement0(esk30_0)&aReductOfIn0(esk30_0,esk26_0,xR))&sdtmndtplgtdt0(esk30_0,xR,esk29_0)))&sdtmndtplgtdt0(esk26_0,xR,esk29_0))))&sdtmndtasgtdt0(esk26_0,xR,esk29_0))&![X15]:~(aReductOfIn0(X15,esk29_0,xR)))&aNormalFormOfIn0(esk29_0,esk26_0,xR))&(xb=esk29_0|((aReductOfIn0(esk29_0,xb,xR)|((aElement0(esk31_0)&aReductOfIn0(esk31_0,xb,xR))&sdtmndtplgtdt0(esk31_0,xR,esk29_0)))&sdtmndtplgtdt0(xb,xR,esk29_0))))&sdtmndtasgtdt0(xb,xR,esk29_0))&(xc=esk29_0|((aReductOfIn0(esk29_0,xc,xR)|((aElement0(esk32_0)&aReductOfIn0(esk32_0,xc,xR))&sdtmndtplgtdt0(esk32_0,xR,esk29_0)))&sdtmndtplgtdt0(xc,xR,esk29_0))))&sdtmndtasgtdt0(xc,xR,esk29_0)))))),inference(skolemize,[status(esa)],[468])).
% fof(470, plain,![X15]:((((((((((~(aReductOfIn0(X15,esk29_0,xR))&((aElement0(esk29_0)&(esk26_0=esk29_0|((aReductOfIn0(esk29_0,esk26_0,xR)|((aElement0(esk30_0)&aReductOfIn0(esk30_0,esk26_0,xR))&sdtmndtplgtdt0(esk30_0,xR,esk29_0)))&sdtmndtplgtdt0(esk26_0,xR,esk29_0))))&sdtmndtasgtdt0(esk26_0,xR,esk29_0)))&aNormalFormOfIn0(esk29_0,esk26_0,xR))&(xb=esk29_0|((aReductOfIn0(esk29_0,xb,xR)|((aElement0(esk31_0)&aReductOfIn0(esk31_0,xb,xR))&sdtmndtplgtdt0(esk31_0,xR,esk29_0)))&sdtmndtplgtdt0(xb,xR,esk29_0))))&sdtmndtasgtdt0(xb,xR,esk29_0))&(xc=esk29_0|((aReductOfIn0(esk29_0,xc,xR)|((aElement0(esk32_0)&aReductOfIn0(esk32_0,xc,xR))&sdtmndtplgtdt0(esk32_0,xR,esk29_0)))&sdtmndtplgtdt0(xc,xR,esk29_0))))&sdtmndtasgtdt0(xc,xR,esk29_0))&((((aElement0(esk26_0)&(esk22_0=esk26_0|((aReductOfIn0(esk26_0,esk22_0,xR)|((aElement0(esk27_0)&aReductOfIn0(esk27_0,esk22_0,xR))&sdtmndtplgtdt0(esk27_0,xR,esk26_0)))&sdtmndtplgtdt0(esk22_0,xR,esk26_0))))&sdtmndtasgtdt0(esk22_0,xR,esk26_0))&(esk24_0=esk26_0|((aReductOfIn0(esk26_0,esk24_0,xR)|((aElement0(esk28_0)&aReductOfIn0(esk28_0,esk24_0,xR))&sdtmndtplgtdt0(esk28_0,xR,esk26_0)))&sdtmndtplgtdt0(esk24_0,xR,esk26_0))))&sdtmndtasgtdt0(esk24_0,xR,esk26_0)))&(((aElement0(esk24_0)&aReductOfIn0(esk24_0,xa,xR))&(esk24_0=xc|((aReductOfIn0(xc,esk24_0,xR)|((aElement0(esk25_0)&aReductOfIn0(esk25_0,esk24_0,xR))&sdtmndtplgtdt0(esk25_0,xR,xc)))&sdtmndtplgtdt0(esk24_0,xR,xc))))&sdtmndtasgtdt0(esk24_0,xR,xc)))&(((aElement0(esk22_0)&aReductOfIn0(esk22_0,xa,xR))&(esk22_0=xb|((aReductOfIn0(xb,esk22_0,xR)|((aElement0(esk23_0)&aReductOfIn0(esk23_0,esk22_0,xR))&sdtmndtplgtdt0(esk23_0,xR,xb)))&sdtmndtplgtdt0(esk22_0,xR,xb))))&sdtmndtasgtdt0(esk22_0,xR,xb)))|~(epred1_0)),inference(shift_quantors,[status(thm)],[469])).
% fof(471, plain,![X15]:((((((((((~(aReductOfIn0(X15,esk29_0,xR))|~(epred1_0))&(((aElement0(esk29_0)|~(epred1_0))&((((((aElement0(esk30_0)|aReductOfIn0(esk29_0,esk26_0,xR))|esk26_0=esk29_0)|~(epred1_0))&(((aReductOfIn0(esk30_0,esk26_0,xR)|aReductOfIn0(esk29_0,esk26_0,xR))|esk26_0=esk29_0)|~(epred1_0)))&(((sdtmndtplgtdt0(esk30_0,xR,esk29_0)|aReductOfIn0(esk29_0,esk26_0,xR))|esk26_0=esk29_0)|~(epred1_0)))&((sdtmndtplgtdt0(esk26_0,xR,esk29_0)|esk26_0=esk29_0)|~(epred1_0))))&(sdtmndtasgtdt0(esk26_0,xR,esk29_0)|~(epred1_0))))&(aNormalFormOfIn0(esk29_0,esk26_0,xR)|~(epred1_0)))&((((((aElement0(esk31_0)|aReductOfIn0(esk29_0,xb,xR))|xb=esk29_0)|~(epred1_0))&(((aReductOfIn0(esk31_0,xb,xR)|aReductOfIn0(esk29_0,xb,xR))|xb=esk29_0)|~(epred1_0)))&(((sdtmndtplgtdt0(esk31_0,xR,esk29_0)|aReductOfIn0(esk29_0,xb,xR))|xb=esk29_0)|~(epred1_0)))&((sdtmndtplgtdt0(xb,xR,esk29_0)|xb=esk29_0)|~(epred1_0))))&(sdtmndtasgtdt0(xb,xR,esk29_0)|~(epred1_0)))&((((((aElement0(esk32_0)|aReductOfIn0(esk29_0,xc,xR))|xc=esk29_0)|~(epred1_0))&(((aReductOfIn0(esk32_0,xc,xR)|aReductOfIn0(esk29_0,xc,xR))|xc=esk29_0)|~(epred1_0)))&(((sdtmndtplgtdt0(esk32_0,xR,esk29_0)|aReductOfIn0(esk29_0,xc,xR))|xc=esk29_0)|~(epred1_0)))&((sdtmndtplgtdt0(xc,xR,esk29_0)|xc=esk29_0)|~(epred1_0))))&(sdtmndtasgtdt0(xc,xR,esk29_0)|~(epred1_0)))&(((((aElement0(esk26_0)|~(epred1_0))&((((((aElement0(esk27_0)|aReductOfIn0(esk26_0,esk22_0,xR))|esk22_0=esk26_0)|~(epred1_0))&(((aReductOfIn0(esk27_0,esk22_0,xR)|aReductOfIn0(esk26_0,esk22_0,xR))|esk22_0=esk26_0)|~(epred1_0)))&(((sdtmndtplgtdt0(esk27_0,xR,esk26_0)|aReductOfIn0(esk26_0,esk22_0,xR))|esk22_0=esk26_0)|~(epred1_0)))&((sdtmndtplgtdt0(esk22_0,xR,esk26_0)|esk22_0=esk26_0)|~(epred1_0))))&(sdtmndtasgtdt0(esk22_0,xR,esk26_0)|~(epred1_0)))&((((((aElement0(esk28_0)|aReductOfIn0(esk26_0,esk24_0,xR))|esk24_0=esk26_0)|~(epred1_0))&(((aReductOfIn0(esk28_0,esk24_0,xR)|aReductOfIn0(esk26_0,esk24_0,xR))|esk24_0=esk26_0)|~(epred1_0)))&(((sdtmndtplgtdt0(esk28_0,xR,esk26_0)|aReductOfIn0(esk26_0,esk24_0,xR))|esk24_0=esk26_0)|~(epred1_0)))&((sdtmndtplgtdt0(esk24_0,xR,esk26_0)|esk24_0=esk26_0)|~(epred1_0))))&(sdtmndtasgtdt0(esk24_0,xR,esk26_0)|~(epred1_0))))&((((aElement0(esk24_0)|~(epred1_0))&(aReductOfIn0(esk24_0,xa,xR)|~(epred1_0)))&((((((aElement0(esk25_0)|aReductOfIn0(xc,esk24_0,xR))|esk24_0=xc)|~(epred1_0))&(((aReductOfIn0(esk25_0,esk24_0,xR)|aReductOfIn0(xc,esk24_0,xR))|esk24_0=xc)|~(epred1_0)))&(((sdtmndtplgtdt0(esk25_0,xR,xc)|aReductOfIn0(xc,esk24_0,xR))|esk24_0=xc)|~(epred1_0)))&((sdtmndtplgtdt0(esk24_0,xR,xc)|esk24_0=xc)|~(epred1_0))))&(sdtmndtasgtdt0(esk24_0,xR,xc)|~(epred1_0))))&((((aElement0(esk22_0)|~(epred1_0))&(aReductOfIn0(esk22_0,xa,xR)|~(epred1_0)))&((((((aElement0(esk23_0)|aReductOfIn0(xb,esk22_0,xR))|esk22_0=xb)|~(epred1_0))&(((aReductOfIn0(esk23_0,esk22_0,xR)|aReductOfIn0(xb,esk22_0,xR))|esk22_0=xb)|~(epred1_0)))&(((sdtmndtplgtdt0(esk23_0,xR,xb)|aReductOfIn0(xb,esk22_0,xR))|esk22_0=xb)|~(epred1_0)))&((sdtmndtplgtdt0(esk22_0,xR,xb)|esk22_0=xb)|~(epred1_0))))&(sdtmndtasgtdt0(esk22_0,xR,xb)|~(epred1_0)))),inference(distribute,[status(thm)],[470])).
% cnf(497,plain,(sdtmndtasgtdt0(xc,xR,esk29_0)|~epred1_0),inference(split_conjunct,[status(thm)],[471])).
% cnf(502,plain,(sdtmndtasgtdt0(xb,xR,esk29_0)|~epred1_0),inference(split_conjunct,[status(thm)],[471])).
% cnf(513,plain,(aElement0(esk29_0)|~epred1_0),inference(split_conjunct,[status(thm)],[471])).
% cnf(530,negated_conjecture,(~sdtmndtasgtdt0(xc,xR,xb)|~aElement0(xb)),inference(er,[status(thm)],[445,theory(equality)])).
% cnf(531,negated_conjecture,(~sdtmndtasgtdt0(xc,xR,xb)|$false),inference(rw,[status(thm)],[530,114,theory(equality)])).
% cnf(532,negated_conjecture,(~sdtmndtasgtdt0(xc,xR,xb)),inference(cn,[status(thm)],[531,theory(equality)])).
% cnf(536,negated_conjecture,(~sdtmndtasgtdt0(xb,xR,xc)|~aElement0(xc)),inference(er,[status(thm)],[457,theory(equality)])).
% cnf(537,negated_conjecture,(~sdtmndtasgtdt0(xb,xR,xc)|$false),inference(rw,[status(thm)],[536,113,theory(equality)])).
% cnf(538,negated_conjecture,(~sdtmndtasgtdt0(xb,xR,xc)),inference(cn,[status(thm)],[537,theory(equality)])).
% cnf(539,negated_conjecture,(epred1_0|xb=xa|~sdtmndtplgtdt0(xa,xR,xc)),inference(spm,[status(thm)],[423,438,theory(equality)])).
% cnf(2415,negated_conjecture,(xb=xa|epred1_0|xc=xa),inference(spm,[status(thm)],[539,433,theory(equality)])).
% cnf(2424,plain,(aElement0(esk29_0)|xc=xa|xb=xa),inference(spm,[status(thm)],[513,2415,theory(equality)])).
% cnf(2427,plain,(sdtmndtasgtdt0(xb,xR,esk29_0)|xc=xa|xb=xa),inference(spm,[status(thm)],[502,2415,theory(equality)])).
% cnf(2428,plain,(sdtmndtasgtdt0(xc,xR,esk29_0)|xc=xa|xb=xa),inference(spm,[status(thm)],[497,2415,theory(equality)])).
% cnf(2971,negated_conjecture,(xb=xa|xc=xa|~sdtmndtasgtdt0(xc,xR,esk29_0)|~aElement0(esk29_0)),inference(spm,[status(thm)],[442,2427,theory(equality)])).
% cnf(3077,negated_conjecture,(xb=xa|xc=xa|~sdtmndtasgtdt0(xc,xR,esk29_0)),inference(csr,[status(thm)],[2971,2424])).
% cnf(3078,negated_conjecture,(xb=xa|xc=xa),inference(csr,[status(thm)],[3077,2428])).
% cnf(3099,negated_conjecture,(xb=xa|~sdtmndtasgtdt0(xa,xR,xb)),inference(spm,[status(thm)],[532,3078,theory(equality)])).
% cnf(3106,negated_conjecture,(xb=xa|$false),inference(rw,[status(thm)],[3099,437,theory(equality)])).
% cnf(3107,negated_conjecture,(xb=xa),inference(cn,[status(thm)],[3106,theory(equality)])).
% cnf(3118,negated_conjecture,($false),inference(rw,[status(thm)],[inference(rw,[status(thm)],[538,3107,theory(equality)]),432,theory(equality)])).
% cnf(3119,negated_conjecture,($false),inference(cn,[status(thm)],[3118,theory(equality)])).
% cnf(3120,negated_conjecture,($false),3119,['proof']).
% # SZS output end CNFRefutation
% # Processed clauses : 488
% # ...of these trivial : 0
% # ...subsumed : 25
% # ...remaining for further processing: 463
% # Other redundant clauses eliminated : 111
% # Clauses deleted for lack of memory : 0
% # Backward-subsumed : 17
% # Backward-rewritten : 69
% # Generated clauses : 1165
% # ...of the previous two non-trivial : 1120
% # Contextual simplify-reflections : 43
% # Paramodulations : 1056
% # Factorizations : 0
% # Equation resolutions : 120
% # Current number of processed clauses: 277
% # Positive orientable unit clauses: 7
% # Positive unorientable unit clauses: 0
% # Negative unit clauses : 0
% # Non-unit-clauses : 270
% # Current number of unprocessed clauses: 529
% # ...number of literals in the above : 4309
% # Clause-clause subsumption calls (NU) : 10424
% # Rec. Clause-clause subsumption calls : 3636
% # Unit Clause-clause subsumption calls : 151
% # Rewrite failures with RHS unbound : 0
% # Indexed BW rewrite attempts : 2
% # Indexed BW rewrite successes : 1
% # Backwards rewriting index: 139 leaves, 1.55+/-2.082 terms/leaf
% # Paramod-from index: 28 leaves, 1.04+/-0.186 terms/leaf
% # Paramod-into index: 52 leaves, 1.38+/-1.318 terms/leaf
% # -------------------------------------------------
% # User time : 0.163 s
% # System time : 0.010 s
% # Total time : 0.173 s
% # Maximum resident set size: 0 pages
% PrfWatch: 0.34 CPU 0.43 WC
% FINAL PrfWatch: 0.34 CPU 0.43 WC
% SZS output end Solution for /tmp/SystemOnTPTP11524/COM022+4.tptp
%
%------------------------------------------------------------------------------