TSTP Solution File: ALG067+1 by SRASS---0.1
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- Process Solution
%------------------------------------------------------------------------------
% File : SRASS---0.1
% Problem : ALG067+1 : TPTP v5.0.0. Released v2.7.0.
% Transfm : none
% Format : tptp
% Command : SRASS -q2 -a 0 10 10 10 -i3 -n60 %s
% Computer : art01.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 20:47:06 EST 2010
% Result : Theorem 1.31s
% Output : Solution 1.31s
% 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/SystemOnTPTP4381/ALG067+1.tptp
% Adding relevance values
% Extracting the conjecture
% Sorting axioms by relevance
% Looking for THM ...
% found
% SZS status THM for /tmp/SystemOnTPTP4381/ALG067+1.tptp
% SZS output start Solution for /tmp/SystemOnTPTP4381/ALG067+1.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 4477
% TreeLimitedRun: ----------------------------------------------------------
% PrfWatch: 0.00 CPU 0.03 WC
% # Preprocessing time : 0.033 s
% # Problem is unsatisfiable (or provable), constructing proof object
% # SZS status Theorem
% # SZS output start CNFRefutation.
% fof(3, axiom,(((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((~(op(e0,e0)=op(e1,e0))&~(op(e0,e0)=op(e2,e0)))&~(op(e0,e0)=op(e3,e0)))&~(op(e0,e0)=op(e4,e0)))&~(op(e1,e0)=op(e2,e0)))&~(op(e1,e0)=op(e3,e0)))&~(op(e1,e0)=op(e4,e0)))&~(op(e2,e0)=op(e3,e0)))&~(op(e2,e0)=op(e4,e0)))&~(op(e3,e0)=op(e4,e0)))&~(op(e0,e1)=op(e1,e1)))&~(op(e0,e1)=op(e2,e1)))&~(op(e0,e1)=op(e3,e1)))&~(op(e0,e1)=op(e4,e1)))&~(op(e1,e1)=op(e2,e1)))&~(op(e1,e1)=op(e3,e1)))&~(op(e1,e1)=op(e4,e1)))&~(op(e2,e1)=op(e3,e1)))&~(op(e2,e1)=op(e4,e1)))&~(op(e3,e1)=op(e4,e1)))&~(op(e0,e2)=op(e1,e2)))&~(op(e0,e2)=op(e2,e2)))&~(op(e0,e2)=op(e3,e2)))&~(op(e0,e2)=op(e4,e2)))&~(op(e1,e2)=op(e2,e2)))&~(op(e1,e2)=op(e3,e2)))&~(op(e1,e2)=op(e4,e2)))&~(op(e2,e2)=op(e3,e2)))&~(op(e2,e2)=op(e4,e2)))&~(op(e3,e2)=op(e4,e2)))&~(op(e0,e3)=op(e1,e3)))&~(op(e0,e3)=op(e2,e3)))&~(op(e0,e3)=op(e3,e3)))&~(op(e0,e3)=op(e4,e3)))&~(op(e1,e3)=op(e2,e3)))&~(op(e1,e3)=op(e3,e3)))&~(op(e1,e3)=op(e4,e3)))&~(op(e2,e3)=op(e3,e3)))&~(op(e2,e3)=op(e4,e3)))&~(op(e3,e3)=op(e4,e3)))&~(op(e0,e4)=op(e1,e4)))&~(op(e0,e4)=op(e2,e4)))&~(op(e0,e4)=op(e3,e4)))&~(op(e0,e4)=op(e4,e4)))&~(op(e1,e4)=op(e2,e4)))&~(op(e1,e4)=op(e3,e4)))&~(op(e1,e4)=op(e4,e4)))&~(op(e2,e4)=op(e3,e4)))&~(op(e2,e4)=op(e4,e4)))&~(op(e3,e4)=op(e4,e4)))&~(op(e0,e0)=op(e0,e1)))&~(op(e0,e0)=op(e0,e2)))&~(op(e0,e0)=op(e0,e3)))&~(op(e0,e0)=op(e0,e4)))&~(op(e0,e1)=op(e0,e2)))&~(op(e0,e1)=op(e0,e3)))&~(op(e0,e1)=op(e0,e4)))&~(op(e0,e2)=op(e0,e3)))&~(op(e0,e2)=op(e0,e4)))&~(op(e0,e3)=op(e0,e4)))&~(op(e1,e0)=op(e1,e1)))&~(op(e1,e0)=op(e1,e2)))&~(op(e1,e0)=op(e1,e3)))&~(op(e1,e0)=op(e1,e4)))&~(op(e1,e1)=op(e1,e2)))&~(op(e1,e1)=op(e1,e3)))&~(op(e1,e1)=op(e1,e4)))&~(op(e1,e2)=op(e1,e3)))&~(op(e1,e2)=op(e1,e4)))&~(op(e1,e3)=op(e1,e4)))&~(op(e2,e0)=op(e2,e1)))&~(op(e2,e0)=op(e2,e2)))&~(op(e2,e0)=op(e2,e3)))&~(op(e2,e0)=op(e2,e4)))&~(op(e2,e1)=op(e2,e2)))&~(op(e2,e1)=op(e2,e3)))&~(op(e2,e1)=op(e2,e4)))&~(op(e2,e2)=op(e2,e3)))&~(op(e2,e2)=op(e2,e4)))&~(op(e2,e3)=op(e2,e4)))&~(op(e3,e0)=op(e3,e1)))&~(op(e3,e0)=op(e3,e2)))&~(op(e3,e0)=op(e3,e3)))&~(op(e3,e0)=op(e3,e4)))&~(op(e3,e1)=op(e3,e2)))&~(op(e3,e1)=op(e3,e3)))&~(op(e3,e1)=op(e3,e4)))&~(op(e3,e2)=op(e3,e3)))&~(op(e3,e2)=op(e3,e4)))&~(op(e3,e3)=op(e3,e4)))&~(op(e4,e0)=op(e4,e1)))&~(op(e4,e0)=op(e4,e2)))&~(op(e4,e0)=op(e4,e3)))&~(op(e4,e0)=op(e4,e4)))&~(op(e4,e1)=op(e4,e2)))&~(op(e4,e1)=op(e4,e3)))&~(op(e4,e1)=op(e4,e4)))&~(op(e4,e2)=op(e4,e3)))&~(op(e4,e2)=op(e4,e4)))&~(op(e4,e3)=op(e4,e4))),file('/tmp/SRASS.s.p', ax4)).
% fof(4, axiom,((e0=op(op(e4,e2),op(e4,e2))&e1=op(e4,e2))&e3=op(e2,e4)),file('/tmp/SRASS.s.p', ax6)).
% fof(6, axiom,(((((((((~(e0=e1)&~(e0=e2))&~(e0=e3))&~(e0=e4))&~(e1=e2))&~(e1=e3))&~(e1=e4))&~(e2=e3))&~(e2=e4))&~(e3=e4)),file('/tmp/SRASS.s.p', ax5)).
% fof(7, conjecture,~(((((((((((((((((((((((((((~(op(e0,e0)=e0)|op(e0,e0)=e0)&(~(op(e0,e0)=e1)|op(e0,e1)=e0))&(~(op(e0,e0)=e2)|op(e0,e2)=e0))&(~(op(e0,e0)=e3)|op(e0,e3)=e0))&(~(op(e0,e0)=e4)|op(e0,e4)=e0))&(~(op(e1,e1)=e0)|op(e1,e0)=e1))&(~(op(e1,e1)=e1)|op(e1,e1)=e1))&(~(op(e1,e1)=e2)|op(e1,e2)=e1))&(~(op(e1,e1)=e3)|op(e1,e3)=e1))&(~(op(e1,e1)=e4)|op(e1,e4)=e1))&(~(op(e2,e2)=e0)|op(e2,e0)=e2))&(~(op(e2,e2)=e1)|op(e2,e1)=e2))&(~(op(e2,e2)=e2)|op(e2,e2)=e2))&(~(op(e2,e2)=e3)|op(e2,e3)=e2))&(~(op(e2,e2)=e4)|op(e2,e4)=e2))&(~(op(e3,e3)=e0)|op(e3,e0)=e3))&(~(op(e3,e3)=e1)|op(e3,e1)=e3))&(~(op(e3,e3)=e2)|op(e3,e2)=e3))&(~(op(e3,e3)=e3)|op(e3,e3)=e3))&(~(op(e3,e3)=e4)|op(e3,e4)=e3))&(~(op(e4,e4)=e0)|op(e4,e0)=e4))&(~(op(e4,e4)=e1)|op(e4,e1)=e4))&(~(op(e4,e4)=e2)|op(e4,e2)=e4))&(~(op(e4,e4)=e3)|op(e4,e3)=e4))&(~(op(e4,e4)=e4)|op(e4,e4)=e4))&((((((((((((((((((((((((((op(e0,e0)=e0&op(e0,e0)=e0)&~(op(e0,e0)=e0))|((op(e0,e0)=e1&op(e1,e1)=e0)&~(op(e0,e1)=e0)))|((op(e0,e0)=e2&op(e2,e2)=e0)&~(op(e0,e2)=e0)))|((op(e0,e0)=e3&op(e3,e3)=e0)&~(op(e0,e3)=e0)))|((op(e0,e0)=e4&op(e4,e4)=e0)&~(op(e0,e4)=e0)))|((op(e1,e1)=e0&op(e0,e0)=e1)&~(op(e1,e0)=e1)))|((op(e1,e1)=e1&op(e1,e1)=e1)&~(op(e1,e1)=e1)))|((op(e1,e1)=e2&op(e2,e2)=e1)&~(op(e1,e2)=e1)))|((op(e1,e1)=e3&op(e3,e3)=e1)&~(op(e1,e3)=e1)))|((op(e1,e1)=e4&op(e4,e4)=e1)&~(op(e1,e4)=e1)))|((op(e2,e2)=e0&op(e0,e0)=e2)&~(op(e2,e0)=e2)))|((op(e2,e2)=e1&op(e1,e1)=e2)&~(op(e2,e1)=e2)))|((op(e2,e2)=e2&op(e2,e2)=e2)&~(op(e2,e2)=e2)))|((op(e2,e2)=e3&op(e3,e3)=e2)&~(op(e2,e3)=e2)))|((op(e2,e2)=e4&op(e4,e4)=e2)&~(op(e2,e4)=e2)))|((op(e3,e3)=e0&op(e0,e0)=e3)&~(op(e3,e0)=e3)))|((op(e3,e3)=e1&op(e1,e1)=e3)&~(op(e3,e1)=e3)))|((op(e3,e3)=e2&op(e2,e2)=e3)&~(op(e3,e2)=e3)))|((op(e3,e3)=e3&op(e3,e3)=e3)&~(op(e3,e3)=e3)))|((op(e3,e3)=e4&op(e4,e4)=e3)&~(op(e3,e4)=e3)))|((op(e4,e4)=e0&op(e0,e0)=e4)&~(op(e4,e0)=e4)))|((op(e4,e4)=e1&op(e1,e1)=e4)&~(op(e4,e1)=e4)))|((op(e4,e4)=e2&op(e2,e2)=e4)&~(op(e4,e2)=e4)))|((op(e4,e4)=e3&op(e3,e3)=e4)&~(op(e4,e3)=e4)))|((op(e4,e4)=e4&op(e4,e4)=e4)&~(op(e4,e4)=e4))))),file('/tmp/SRASS.s.p', co1)).
% fof(8, negated_conjecture,~(~(((((((((((((((((((((((((((~(op(e0,e0)=e0)|op(e0,e0)=e0)&(~(op(e0,e0)=e1)|op(e0,e1)=e0))&(~(op(e0,e0)=e2)|op(e0,e2)=e0))&(~(op(e0,e0)=e3)|op(e0,e3)=e0))&(~(op(e0,e0)=e4)|op(e0,e4)=e0))&(~(op(e1,e1)=e0)|op(e1,e0)=e1))&(~(op(e1,e1)=e1)|op(e1,e1)=e1))&(~(op(e1,e1)=e2)|op(e1,e2)=e1))&(~(op(e1,e1)=e3)|op(e1,e3)=e1))&(~(op(e1,e1)=e4)|op(e1,e4)=e1))&(~(op(e2,e2)=e0)|op(e2,e0)=e2))&(~(op(e2,e2)=e1)|op(e2,e1)=e2))&(~(op(e2,e2)=e2)|op(e2,e2)=e2))&(~(op(e2,e2)=e3)|op(e2,e3)=e2))&(~(op(e2,e2)=e4)|op(e2,e4)=e2))&(~(op(e3,e3)=e0)|op(e3,e0)=e3))&(~(op(e3,e3)=e1)|op(e3,e1)=e3))&(~(op(e3,e3)=e2)|op(e3,e2)=e3))&(~(op(e3,e3)=e3)|op(e3,e3)=e3))&(~(op(e3,e3)=e4)|op(e3,e4)=e3))&(~(op(e4,e4)=e0)|op(e4,e0)=e4))&(~(op(e4,e4)=e1)|op(e4,e1)=e4))&(~(op(e4,e4)=e2)|op(e4,e2)=e4))&(~(op(e4,e4)=e3)|op(e4,e3)=e4))&(~(op(e4,e4)=e4)|op(e4,e4)=e4))&((((((((((((((((((((((((((op(e0,e0)=e0&op(e0,e0)=e0)&~(op(e0,e0)=e0))|((op(e0,e0)=e1&op(e1,e1)=e0)&~(op(e0,e1)=e0)))|((op(e0,e0)=e2&op(e2,e2)=e0)&~(op(e0,e2)=e0)))|((op(e0,e0)=e3&op(e3,e3)=e0)&~(op(e0,e3)=e0)))|((op(e0,e0)=e4&op(e4,e4)=e0)&~(op(e0,e4)=e0)))|((op(e1,e1)=e0&op(e0,e0)=e1)&~(op(e1,e0)=e1)))|((op(e1,e1)=e1&op(e1,e1)=e1)&~(op(e1,e1)=e1)))|((op(e1,e1)=e2&op(e2,e2)=e1)&~(op(e1,e2)=e1)))|((op(e1,e1)=e3&op(e3,e3)=e1)&~(op(e1,e3)=e1)))|((op(e1,e1)=e4&op(e4,e4)=e1)&~(op(e1,e4)=e1)))|((op(e2,e2)=e0&op(e0,e0)=e2)&~(op(e2,e0)=e2)))|((op(e2,e2)=e1&op(e1,e1)=e2)&~(op(e2,e1)=e2)))|((op(e2,e2)=e2&op(e2,e2)=e2)&~(op(e2,e2)=e2)))|((op(e2,e2)=e3&op(e3,e3)=e2)&~(op(e2,e3)=e2)))|((op(e2,e2)=e4&op(e4,e4)=e2)&~(op(e2,e4)=e2)))|((op(e3,e3)=e0&op(e0,e0)=e3)&~(op(e3,e0)=e3)))|((op(e3,e3)=e1&op(e1,e1)=e3)&~(op(e3,e1)=e3)))|((op(e3,e3)=e2&op(e2,e2)=e3)&~(op(e3,e2)=e3)))|((op(e3,e3)=e3&op(e3,e3)=e3)&~(op(e3,e3)=e3)))|((op(e3,e3)=e4&op(e4,e4)=e3)&~(op(e3,e4)=e3)))|((op(e4,e4)=e0&op(e0,e0)=e4)&~(op(e4,e0)=e4)))|((op(e4,e4)=e1&op(e1,e1)=e4)&~(op(e4,e1)=e4)))|((op(e4,e4)=e2&op(e2,e2)=e4)&~(op(e4,e2)=e4)))|((op(e4,e4)=e3&op(e3,e3)=e4)&~(op(e4,e3)=e4)))|((op(e4,e4)=e4&op(e4,e4)=e4)&~(op(e4,e4)=e4)))))),inference(assume_negation,[status(cth)],[7])).
% fof(9, negated_conjecture,~(~(((((((((((((((((((((((((((~(op(e0,e0)=e0)|op(e0,e0)=e0)&(~(op(e0,e0)=e1)|op(e0,e1)=e0))&(~(op(e0,e0)=e2)|op(e0,e2)=e0))&(~(op(e0,e0)=e3)|op(e0,e3)=e0))&(~(op(e0,e0)=e4)|op(e0,e4)=e0))&(~(op(e1,e1)=e0)|op(e1,e0)=e1))&(~(op(e1,e1)=e1)|op(e1,e1)=e1))&(~(op(e1,e1)=e2)|op(e1,e2)=e1))&(~(op(e1,e1)=e3)|op(e1,e3)=e1))&(~(op(e1,e1)=e4)|op(e1,e4)=e1))&(~(op(e2,e2)=e0)|op(e2,e0)=e2))&(~(op(e2,e2)=e1)|op(e2,e1)=e2))&(~(op(e2,e2)=e2)|op(e2,e2)=e2))&(~(op(e2,e2)=e3)|op(e2,e3)=e2))&(~(op(e2,e2)=e4)|op(e2,e4)=e2))&(~(op(e3,e3)=e0)|op(e3,e0)=e3))&(~(op(e3,e3)=e1)|op(e3,e1)=e3))&(~(op(e3,e3)=e2)|op(e3,e2)=e3))&(~(op(e3,e3)=e3)|op(e3,e3)=e3))&(~(op(e3,e3)=e4)|op(e3,e4)=e3))&(~(op(e4,e4)=e0)|op(e4,e0)=e4))&(~(op(e4,e4)=e1)|op(e4,e1)=e4))&(~(op(e4,e4)=e2)|op(e4,e2)=e4))&(~(op(e4,e4)=e3)|op(e4,e3)=e4))&(~(op(e4,e4)=e4)|op(e4,e4)=e4))&(((((((((((((((((((((((((op(e0,e0)=e0&~(op(e0,e0)=e0))|((op(e0,e0)=e1&op(e1,e1)=e0)&~(op(e0,e1)=e0)))|((op(e0,e0)=e2&op(e2,e2)=e0)&~(op(e0,e2)=e0)))|((op(e0,e0)=e3&op(e3,e3)=e0)&~(op(e0,e3)=e0)))|((op(e0,e0)=e4&op(e4,e4)=e0)&~(op(e0,e4)=e0)))|((op(e1,e1)=e0&op(e0,e0)=e1)&~(op(e1,e0)=e1)))|(op(e1,e1)=e1&~(op(e1,e1)=e1)))|((op(e1,e1)=e2&op(e2,e2)=e1)&~(op(e1,e2)=e1)))|((op(e1,e1)=e3&op(e3,e3)=e1)&~(op(e1,e3)=e1)))|((op(e1,e1)=e4&op(e4,e4)=e1)&~(op(e1,e4)=e1)))|((op(e2,e2)=e0&op(e0,e0)=e2)&~(op(e2,e0)=e2)))|((op(e2,e2)=e1&op(e1,e1)=e2)&~(op(e2,e1)=e2)))|(op(e2,e2)=e2&~(op(e2,e2)=e2)))|((op(e2,e2)=e3&op(e3,e3)=e2)&~(op(e2,e3)=e2)))|((op(e2,e2)=e4&op(e4,e4)=e2)&~(op(e2,e4)=e2)))|((op(e3,e3)=e0&op(e0,e0)=e3)&~(op(e3,e0)=e3)))|((op(e3,e3)=e1&op(e1,e1)=e3)&~(op(e3,e1)=e3)))|((op(e3,e3)=e2&op(e2,e2)=e3)&~(op(e3,e2)=e3)))|(op(e3,e3)=e3&~(op(e3,e3)=e3)))|((op(e3,e3)=e4&op(e4,e4)=e3)&~(op(e3,e4)=e3)))|((op(e4,e4)=e0&op(e0,e0)=e4)&~(op(e4,e0)=e4)))|((op(e4,e4)=e1&op(e1,e1)=e4)&~(op(e4,e1)=e4)))|((op(e4,e4)=e2&op(e2,e2)=e4)&~(op(e4,e2)=e4)))|((op(e4,e4)=e3&op(e3,e3)=e4)&~(op(e4,e3)=e4)))|(op(e4,e4)=e4&~(op(e4,e4)=e4)))))),inference(fof_simplification,[status(thm)],[8,theory(equality)])).
% fof(10, plain,(epred1_0=>((((op(e0,e0)=e0&~(op(e0,e0)=e0))|((op(e0,e0)=e1&op(e1,e1)=e0)&~(op(e0,e1)=e0)))|((op(e0,e0)=e2&op(e2,e2)=e0)&~(op(e0,e2)=e0)))|((op(e0,e0)=e3&op(e3,e3)=e0)&~(op(e0,e3)=e0)))),introduced(definition)).
% fof(11, plain,(epred2_0=>((((((((op(e0,e0)=e0&~(op(e0,e0)=e0))|((op(e0,e0)=e1&op(e1,e1)=e0)&~(op(e0,e1)=e0)))|((op(e0,e0)=e2&op(e2,e2)=e0)&~(op(e0,e2)=e0)))|((op(e0,e0)=e3&op(e3,e3)=e0)&~(op(e0,e3)=e0)))|((op(e0,e0)=e4&op(e4,e4)=e0)&~(op(e0,e4)=e0)))|((op(e1,e1)=e0&op(e0,e0)=e1)&~(op(e1,e0)=e1)))|(op(e1,e1)=e1&~(op(e1,e1)=e1)))|((op(e1,e1)=e2&op(e2,e2)=e1)&~(op(e1,e2)=e1)))),introduced(definition)).
% fof(12, plain,(epred3_0=>(((((((((((op(e0,e0)=e0&~(op(e0,e0)=e0))|((op(e0,e0)=e1&op(e1,e1)=e0)&~(op(e0,e1)=e0)))|((op(e0,e0)=e2&op(e2,e2)=e0)&~(op(e0,e2)=e0)))|((op(e0,e0)=e3&op(e3,e3)=e0)&~(op(e0,e3)=e0)))|((op(e0,e0)=e4&op(e4,e4)=e0)&~(op(e0,e4)=e0)))|((op(e1,e1)=e0&op(e0,e0)=e1)&~(op(e1,e0)=e1)))|(op(e1,e1)=e1&~(op(e1,e1)=e1)))|((op(e1,e1)=e2&op(e2,e2)=e1)&~(op(e1,e2)=e1)))|((op(e1,e1)=e3&op(e3,e3)=e1)&~(op(e1,e3)=e1)))|((op(e1,e1)=e4&op(e4,e4)=e1)&~(op(e1,e4)=e1)))|((op(e2,e2)=e0&op(e0,e0)=e2)&~(op(e2,e0)=e2)))),introduced(definition)).
% fof(13, plain,(epred4_0=>(((((((((((((((op(e0,e0)=e0&~(op(e0,e0)=e0))|((op(e0,e0)=e1&op(e1,e1)=e0)&~(op(e0,e1)=e0)))|((op(e0,e0)=e2&op(e2,e2)=e0)&~(op(e0,e2)=e0)))|((op(e0,e0)=e3&op(e3,e3)=e0)&~(op(e0,e3)=e0)))|((op(e0,e0)=e4&op(e4,e4)=e0)&~(op(e0,e4)=e0)))|((op(e1,e1)=e0&op(e0,e0)=e1)&~(op(e1,e0)=e1)))|(op(e1,e1)=e1&~(op(e1,e1)=e1)))|((op(e1,e1)=e2&op(e2,e2)=e1)&~(op(e1,e2)=e1)))|((op(e1,e1)=e3&op(e3,e3)=e1)&~(op(e1,e3)=e1)))|((op(e1,e1)=e4&op(e4,e4)=e1)&~(op(e1,e4)=e1)))|((op(e2,e2)=e0&op(e0,e0)=e2)&~(op(e2,e0)=e2)))|((op(e2,e2)=e1&op(e1,e1)=e2)&~(op(e2,e1)=e2)))|(op(e2,e2)=e2&~(op(e2,e2)=e2)))|((op(e2,e2)=e3&op(e3,e3)=e2)&~(op(e2,e3)=e2)))|((op(e2,e2)=e4&op(e4,e4)=e2)&~(op(e2,e4)=e2)))),introduced(definition)).
% fof(14, plain,(epred5_0=>((((((((((((((((((op(e0,e0)=e0&~(op(e0,e0)=e0))|((op(e0,e0)=e1&op(e1,e1)=e0)&~(op(e0,e1)=e0)))|((op(e0,e0)=e2&op(e2,e2)=e0)&~(op(e0,e2)=e0)))|((op(e0,e0)=e3&op(e3,e3)=e0)&~(op(e0,e3)=e0)))|((op(e0,e0)=e4&op(e4,e4)=e0)&~(op(e0,e4)=e0)))|((op(e1,e1)=e0&op(e0,e0)=e1)&~(op(e1,e0)=e1)))|(op(e1,e1)=e1&~(op(e1,e1)=e1)))|((op(e1,e1)=e2&op(e2,e2)=e1)&~(op(e1,e2)=e1)))|((op(e1,e1)=e3&op(e3,e3)=e1)&~(op(e1,e3)=e1)))|((op(e1,e1)=e4&op(e4,e4)=e1)&~(op(e1,e4)=e1)))|((op(e2,e2)=e0&op(e0,e0)=e2)&~(op(e2,e0)=e2)))|((op(e2,e2)=e1&op(e1,e1)=e2)&~(op(e2,e1)=e2)))|(op(e2,e2)=e2&~(op(e2,e2)=e2)))|((op(e2,e2)=e3&op(e3,e3)=e2)&~(op(e2,e3)=e2)))|((op(e2,e2)=e4&op(e4,e4)=e2)&~(op(e2,e4)=e2)))|((op(e3,e3)=e0&op(e0,e0)=e3)&~(op(e3,e0)=e3)))|((op(e3,e3)=e1&op(e1,e1)=e3)&~(op(e3,e1)=e3)))|((op(e3,e3)=e2&op(e2,e2)=e3)&~(op(e3,e2)=e3)))),introduced(definition)).
% fof(15, plain,(epred6_0=>((((((((((((((((((((((op(e0,e0)=e0&~(op(e0,e0)=e0))|((op(e0,e0)=e1&op(e1,e1)=e0)&~(op(e0,e1)=e0)))|((op(e0,e0)=e2&op(e2,e2)=e0)&~(op(e0,e2)=e0)))|((op(e0,e0)=e3&op(e3,e3)=e0)&~(op(e0,e3)=e0)))|((op(e0,e0)=e4&op(e4,e4)=e0)&~(op(e0,e4)=e0)))|((op(e1,e1)=e0&op(e0,e0)=e1)&~(op(e1,e0)=e1)))|(op(e1,e1)=e1&~(op(e1,e1)=e1)))|((op(e1,e1)=e2&op(e2,e2)=e1)&~(op(e1,e2)=e1)))|((op(e1,e1)=e3&op(e3,e3)=e1)&~(op(e1,e3)=e1)))|((op(e1,e1)=e4&op(e4,e4)=e1)&~(op(e1,e4)=e1)))|((op(e2,e2)=e0&op(e0,e0)=e2)&~(op(e2,e0)=e2)))|((op(e2,e2)=e1&op(e1,e1)=e2)&~(op(e2,e1)=e2)))|(op(e2,e2)=e2&~(op(e2,e2)=e2)))|((op(e2,e2)=e3&op(e3,e3)=e2)&~(op(e2,e3)=e2)))|((op(e2,e2)=e4&op(e4,e4)=e2)&~(op(e2,e4)=e2)))|((op(e3,e3)=e0&op(e0,e0)=e3)&~(op(e3,e0)=e3)))|((op(e3,e3)=e1&op(e1,e1)=e3)&~(op(e3,e1)=e3)))|((op(e3,e3)=e2&op(e2,e2)=e3)&~(op(e3,e2)=e3)))|(op(e3,e3)=e3&~(op(e3,e3)=e3)))|((op(e3,e3)=e4&op(e4,e4)=e3)&~(op(e3,e4)=e3)))|((op(e4,e4)=e0&op(e0,e0)=e4)&~(op(e4,e0)=e4)))|((op(e4,e4)=e1&op(e1,e1)=e4)&~(op(e4,e1)=e4)))),introduced(definition)).
% fof(16, negated_conjecture,~(~(((((((((((((((((((((((((((~(op(e0,e0)=e0)|op(e0,e0)=e0)&(~(op(e0,e0)=e1)|op(e0,e1)=e0))&(~(op(e0,e0)=e2)|op(e0,e2)=e0))&(~(op(e0,e0)=e3)|op(e0,e3)=e0))&(~(op(e0,e0)=e4)|op(e0,e4)=e0))&(~(op(e1,e1)=e0)|op(e1,e0)=e1))&(~(op(e1,e1)=e1)|op(e1,e1)=e1))&(~(op(e1,e1)=e2)|op(e1,e2)=e1))&(~(op(e1,e1)=e3)|op(e1,e3)=e1))&(~(op(e1,e1)=e4)|op(e1,e4)=e1))&(~(op(e2,e2)=e0)|op(e2,e0)=e2))&(~(op(e2,e2)=e1)|op(e2,e1)=e2))&(~(op(e2,e2)=e2)|op(e2,e2)=e2))&(~(op(e2,e2)=e3)|op(e2,e3)=e2))&(~(op(e2,e2)=e4)|op(e2,e4)=e2))&(~(op(e3,e3)=e0)|op(e3,e0)=e3))&(~(op(e3,e3)=e1)|op(e3,e1)=e3))&(~(op(e3,e3)=e2)|op(e3,e2)=e3))&(~(op(e3,e3)=e3)|op(e3,e3)=e3))&(~(op(e3,e3)=e4)|op(e3,e4)=e3))&(~(op(e4,e4)=e0)|op(e4,e0)=e4))&(~(op(e4,e4)=e1)|op(e4,e1)=e4))&(~(op(e4,e4)=e2)|op(e4,e2)=e4))&(~(op(e4,e4)=e3)|op(e4,e3)=e4))&(~(op(e4,e4)=e4)|op(e4,e4)=e4))&(((epred6_0|((op(e4,e4)=e2&op(e2,e2)=e4)&~(op(e4,e2)=e4)))|((op(e4,e4)=e3&op(e3,e3)=e4)&~(op(e4,e3)=e4)))|(op(e4,e4)=e4&~(op(e4,e4)=e4)))))),inference(apply_def,[status(esa)],[9,15,theory(equality)])).
% fof(17, plain,(epred2_0=>((((epred1_0|((op(e0,e0)=e4&op(e4,e4)=e0)&~(op(e0,e4)=e0)))|((op(e1,e1)=e0&op(e0,e0)=e1)&~(op(e1,e0)=e1)))|(op(e1,e1)=e1&~(op(e1,e1)=e1)))|((op(e1,e1)=e2&op(e2,e2)=e1)&~(op(e1,e2)=e1)))),inference(apply_def,[status(esa)],[11,10,theory(equality)])).
% fof(18, plain,(epred3_0=>(((epred2_0|((op(e1,e1)=e3&op(e3,e3)=e1)&~(op(e1,e3)=e1)))|((op(e1,e1)=e4&op(e4,e4)=e1)&~(op(e1,e4)=e1)))|((op(e2,e2)=e0&op(e0,e0)=e2)&~(op(e2,e0)=e2)))),inference(apply_def,[status(esa)],[12,17,theory(equality)])).
% fof(19, plain,(epred4_0=>((((epred3_0|((op(e2,e2)=e1&op(e1,e1)=e2)&~(op(e2,e1)=e2)))|(op(e2,e2)=e2&~(op(e2,e2)=e2)))|((op(e2,e2)=e3&op(e3,e3)=e2)&~(op(e2,e3)=e2)))|((op(e2,e2)=e4&op(e4,e4)=e2)&~(op(e2,e4)=e2)))),inference(apply_def,[status(esa)],[13,18,theory(equality)])).
% fof(20, plain,(epred5_0=>(((epred4_0|((op(e3,e3)=e0&op(e0,e0)=e3)&~(op(e3,e0)=e3)))|((op(e3,e3)=e1&op(e1,e1)=e3)&~(op(e3,e1)=e3)))|((op(e3,e3)=e2&op(e2,e2)=e3)&~(op(e3,e2)=e3)))),inference(apply_def,[status(esa)],[14,19,theory(equality)])).
% fof(21, plain,(epred6_0=>((((epred5_0|(op(e3,e3)=e3&~(op(e3,e3)=e3)))|((op(e3,e3)=e4&op(e4,e4)=e3)&~(op(e3,e4)=e3)))|((op(e4,e4)=e0&op(e0,e0)=e4)&~(op(e4,e0)=e4)))|((op(e4,e4)=e1&op(e1,e1)=e4)&~(op(e4,e1)=e4)))),inference(apply_def,[status(esa)],[15,20,theory(equality)])).
% cnf(118,plain,(op(e2,e2)!=op(e2,e4)),inference(split_conjunct,[status(thm)],[3])).
% cnf(148,plain,(op(e2,e4)!=op(e4,e4)),inference(split_conjunct,[status(thm)],[3])).
% cnf(196,plain,(op(e0,e0)!=op(e1,e0)),inference(split_conjunct,[status(thm)],[3])).
% cnf(197,plain,(e3=op(e2,e4)),inference(split_conjunct,[status(thm)],[4])).
% cnf(198,plain,(e1=op(e4,e2)),inference(split_conjunct,[status(thm)],[4])).
% cnf(199,plain,(e0=op(op(e4,e2),op(e4,e2))),inference(split_conjunct,[status(thm)],[4])).
% cnf(213,plain,(e2!=e3),inference(split_conjunct,[status(thm)],[6])).
% cnf(217,plain,(e0!=e4),inference(split_conjunct,[status(thm)],[6])).
% cnf(218,plain,(e0!=e3),inference(split_conjunct,[status(thm)],[6])).
% cnf(219,plain,(e0!=e2),inference(split_conjunct,[status(thm)],[6])).
% cnf(220,plain,(e0!=e1),inference(split_conjunct,[status(thm)],[6])).
% fof(221, negated_conjecture,((((((((((((((((((((((((((~(op(e0,e0)=e0)|op(e0,e0)=e0)&(~(op(e0,e0)=e1)|op(e0,e1)=e0))&(~(op(e0,e0)=e2)|op(e0,e2)=e0))&(~(op(e0,e0)=e3)|op(e0,e3)=e0))&(~(op(e0,e0)=e4)|op(e0,e4)=e0))&(~(op(e1,e1)=e0)|op(e1,e0)=e1))&(~(op(e1,e1)=e1)|op(e1,e1)=e1))&(~(op(e1,e1)=e2)|op(e1,e2)=e1))&(~(op(e1,e1)=e3)|op(e1,e3)=e1))&(~(op(e1,e1)=e4)|op(e1,e4)=e1))&(~(op(e2,e2)=e0)|op(e2,e0)=e2))&(~(op(e2,e2)=e1)|op(e2,e1)=e2))&(~(op(e2,e2)=e2)|op(e2,e2)=e2))&(~(op(e2,e2)=e3)|op(e2,e3)=e2))&(~(op(e2,e2)=e4)|op(e2,e4)=e2))&(~(op(e3,e3)=e0)|op(e3,e0)=e3))&(~(op(e3,e3)=e1)|op(e3,e1)=e3))&(~(op(e3,e3)=e2)|op(e3,e2)=e3))&(~(op(e3,e3)=e3)|op(e3,e3)=e3))&(~(op(e3,e3)=e4)|op(e3,e4)=e3))&(~(op(e4,e4)=e0)|op(e4,e0)=e4))&(~(op(e4,e4)=e1)|op(e4,e1)=e4))&(~(op(e4,e4)=e2)|op(e4,e2)=e4))&(~(op(e4,e4)=e3)|op(e4,e3)=e4))&(~(op(e4,e4)=e4)|op(e4,e4)=e4))&(((epred6_0|((op(e4,e4)=e2&op(e2,e2)=e4)&~(op(e4,e2)=e4)))|((op(e4,e4)=e3&op(e3,e3)=e4)&~(op(e4,e3)=e4)))|(op(e4,e4)=e4&~(op(e4,e4)=e4)))),inference(fof_nnf,[status(thm)],[16])).
% fof(222, negated_conjecture,((((((((((((((((((((((((((~(op(e0,e0)=e0)|op(e0,e0)=e0)&(~(op(e0,e0)=e1)|op(e0,e1)=e0))&(~(op(e0,e0)=e2)|op(e0,e2)=e0))&(~(op(e0,e0)=e3)|op(e0,e3)=e0))&(~(op(e0,e0)=e4)|op(e0,e4)=e0))&(~(op(e1,e1)=e0)|op(e1,e0)=e1))&(~(op(e1,e1)=e1)|op(e1,e1)=e1))&(~(op(e1,e1)=e2)|op(e1,e2)=e1))&(~(op(e1,e1)=e3)|op(e1,e3)=e1))&(~(op(e1,e1)=e4)|op(e1,e4)=e1))&(~(op(e2,e2)=e0)|op(e2,e0)=e2))&(~(op(e2,e2)=e1)|op(e2,e1)=e2))&(~(op(e2,e2)=e2)|op(e2,e2)=e2))&(~(op(e2,e2)=e3)|op(e2,e3)=e2))&(~(op(e2,e2)=e4)|op(e2,e4)=e2))&(~(op(e3,e3)=e0)|op(e3,e0)=e3))&(~(op(e3,e3)=e1)|op(e3,e1)=e3))&(~(op(e3,e3)=e2)|op(e3,e2)=e3))&(~(op(e3,e3)=e3)|op(e3,e3)=e3))&(~(op(e3,e3)=e4)|op(e3,e4)=e3))&(~(op(e4,e4)=e0)|op(e4,e0)=e4))&(~(op(e4,e4)=e1)|op(e4,e1)=e4))&(~(op(e4,e4)=e2)|op(e4,e2)=e4))&(~(op(e4,e4)=e3)|op(e4,e3)=e4))&(~(op(e4,e4)=e4)|op(e4,e4)=e4))&((((((op(e4,e4)=e4|(op(e4,e4)=e3|(op(e4,e4)=e2|epred6_0)))&(~(op(e4,e4)=e4)|(op(e4,e4)=e3|(op(e4,e4)=e2|epred6_0))))&((op(e4,e4)=e4|(op(e3,e3)=e4|(op(e4,e4)=e2|epred6_0)))&(~(op(e4,e4)=e4)|(op(e3,e3)=e4|(op(e4,e4)=e2|epred6_0)))))&((op(e4,e4)=e4|(~(op(e4,e3)=e4)|(op(e4,e4)=e2|epred6_0)))&(~(op(e4,e4)=e4)|(~(op(e4,e3)=e4)|(op(e4,e4)=e2|epred6_0)))))&((((op(e4,e4)=e4|(op(e4,e4)=e3|(op(e2,e2)=e4|epred6_0)))&(~(op(e4,e4)=e4)|(op(e4,e4)=e3|(op(e2,e2)=e4|epred6_0))))&((op(e4,e4)=e4|(op(e3,e3)=e4|(op(e2,e2)=e4|epred6_0)))&(~(op(e4,e4)=e4)|(op(e3,e3)=e4|(op(e2,e2)=e4|epred6_0)))))&((op(e4,e4)=e4|(~(op(e4,e3)=e4)|(op(e2,e2)=e4|epred6_0)))&(~(op(e4,e4)=e4)|(~(op(e4,e3)=e4)|(op(e2,e2)=e4|epred6_0))))))&((((op(e4,e4)=e4|(op(e4,e4)=e3|(~(op(e4,e2)=e4)|epred6_0)))&(~(op(e4,e4)=e4)|(op(e4,e4)=e3|(~(op(e4,e2)=e4)|epred6_0))))&((op(e4,e4)=e4|(op(e3,e3)=e4|(~(op(e4,e2)=e4)|epred6_0)))&(~(op(e4,e4)=e4)|(op(e3,e3)=e4|(~(op(e4,e2)=e4)|epred6_0)))))&((op(e4,e4)=e4|(~(op(e4,e3)=e4)|(~(op(e4,e2)=e4)|epred6_0)))&(~(op(e4,e4)=e4)|(~(op(e4,e3)=e4)|(~(op(e4,e2)=e4)|epred6_0))))))),inference(distribute,[status(thm)],[221])).
% cnf(233,negated_conjecture,(epred6_0|op(e2,e2)=e4|op(e4,e4)=e3|op(e4,e4)!=e4),inference(split_conjunct,[status(thm)],[222])).
% cnf(234,negated_conjecture,(epred6_0|op(e2,e2)=e4|op(e4,e4)=e3|op(e4,e4)=e4),inference(split_conjunct,[status(thm)],[222])).
% cnf(245,negated_conjecture,(op(e4,e0)=e4|op(e4,e4)!=e0),inference(split_conjunct,[status(thm)],[222])).
% cnf(250,negated_conjecture,(op(e3,e0)=e3|op(e3,e3)!=e0),inference(split_conjunct,[status(thm)],[222])).
% cnf(251,negated_conjecture,(op(e2,e4)=e2|op(e2,e2)!=e4),inference(split_conjunct,[status(thm)],[222])).
% cnf(255,negated_conjecture,(op(e2,e0)=e2|op(e2,e2)!=e0),inference(split_conjunct,[status(thm)],[222])).
% cnf(260,negated_conjecture,(op(e1,e0)=e1|op(e1,e1)!=e0),inference(split_conjunct,[status(thm)],[222])).
% cnf(261,negated_conjecture,(op(e0,e4)=e0|op(e0,e0)!=e4),inference(split_conjunct,[status(thm)],[222])).
% cnf(262,negated_conjecture,(op(e0,e3)=e0|op(e0,e0)!=e3),inference(split_conjunct,[status(thm)],[222])).
% cnf(263,negated_conjecture,(op(e0,e2)=e0|op(e0,e0)!=e2),inference(split_conjunct,[status(thm)],[222])).
% fof(266, plain,(~(epred1_0)|((((op(e0,e0)=e0&~(op(e0,e0)=e0))|((op(e0,e0)=e1&op(e1,e1)=e0)&~(op(e0,e1)=e0)))|((op(e0,e0)=e2&op(e2,e2)=e0)&~(op(e0,e2)=e0)))|((op(e0,e0)=e3&op(e3,e3)=e0)&~(op(e0,e3)=e0)))),inference(fof_nnf,[status(thm)],[10])).
% fof(267, plain,(((((((((op(e0,e0)=e3|(op(e0,e0)=e2|(op(e0,e0)=e1|op(e0,e0)=e0)))|~(epred1_0))&((op(e3,e3)=e0|(op(e0,e0)=e2|(op(e0,e0)=e1|op(e0,e0)=e0)))|~(epred1_0)))&((~(op(e0,e3)=e0)|(op(e0,e0)=e2|(op(e0,e0)=e1|op(e0,e0)=e0)))|~(epred1_0)))&((((op(e0,e0)=e3|(op(e2,e2)=e0|(op(e0,e0)=e1|op(e0,e0)=e0)))|~(epred1_0))&((op(e3,e3)=e0|(op(e2,e2)=e0|(op(e0,e0)=e1|op(e0,e0)=e0)))|~(epred1_0)))&((~(op(e0,e3)=e0)|(op(e2,e2)=e0|(op(e0,e0)=e1|op(e0,e0)=e0)))|~(epred1_0))))&((((op(e0,e0)=e3|(~(op(e0,e2)=e0)|(op(e0,e0)=e1|op(e0,e0)=e0)))|~(epred1_0))&((op(e3,e3)=e0|(~(op(e0,e2)=e0)|(op(e0,e0)=e1|op(e0,e0)=e0)))|~(epred1_0)))&((~(op(e0,e3)=e0)|(~(op(e0,e2)=e0)|(op(e0,e0)=e1|op(e0,e0)=e0)))|~(epred1_0))))&((((((op(e0,e0)=e3|(op(e0,e0)=e2|(op(e1,e1)=e0|op(e0,e0)=e0)))|~(epred1_0))&((op(e3,e3)=e0|(op(e0,e0)=e2|(op(e1,e1)=e0|op(e0,e0)=e0)))|~(epred1_0)))&((~(op(e0,e3)=e0)|(op(e0,e0)=e2|(op(e1,e1)=e0|op(e0,e0)=e0)))|~(epred1_0)))&((((op(e0,e0)=e3|(op(e2,e2)=e0|(op(e1,e1)=e0|op(e0,e0)=e0)))|~(epred1_0))&((op(e3,e3)=e0|(op(e2,e2)=e0|(op(e1,e1)=e0|op(e0,e0)=e0)))|~(epred1_0)))&((~(op(e0,e3)=e0)|(op(e2,e2)=e0|(op(e1,e1)=e0|op(e0,e0)=e0)))|~(epred1_0))))&((((op(e0,e0)=e3|(~(op(e0,e2)=e0)|(op(e1,e1)=e0|op(e0,e0)=e0)))|~(epred1_0))&((op(e3,e3)=e0|(~(op(e0,e2)=e0)|(op(e1,e1)=e0|op(e0,e0)=e0)))|~(epred1_0)))&((~(op(e0,e3)=e0)|(~(op(e0,e2)=e0)|(op(e1,e1)=e0|op(e0,e0)=e0)))|~(epred1_0)))))&((((((op(e0,e0)=e3|(op(e0,e0)=e2|(~(op(e0,e1)=e0)|op(e0,e0)=e0)))|~(epred1_0))&((op(e3,e3)=e0|(op(e0,e0)=e2|(~(op(e0,e1)=e0)|op(e0,e0)=e0)))|~(epred1_0)))&((~(op(e0,e3)=e0)|(op(e0,e0)=e2|(~(op(e0,e1)=e0)|op(e0,e0)=e0)))|~(epred1_0)))&((((op(e0,e0)=e3|(op(e2,e2)=e0|(~(op(e0,e1)=e0)|op(e0,e0)=e0)))|~(epred1_0))&((op(e3,e3)=e0|(op(e2,e2)=e0|(~(op(e0,e1)=e0)|op(e0,e0)=e0)))|~(epred1_0)))&((~(op(e0,e3)=e0)|(op(e2,e2)=e0|(~(op(e0,e1)=e0)|op(e0,e0)=e0)))|~(epred1_0))))&((((op(e0,e0)=e3|(~(op(e0,e2)=e0)|(~(op(e0,e1)=e0)|op(e0,e0)=e0)))|~(epred1_0))&((op(e3,e3)=e0|(~(op(e0,e2)=e0)|(~(op(e0,e1)=e0)|op(e0,e0)=e0)))|~(epred1_0)))&((~(op(e0,e3)=e0)|(~(op(e0,e2)=e0)|(~(op(e0,e1)=e0)|op(e0,e0)=e0)))|~(epred1_0)))))&((((((((op(e0,e0)=e3|(op(e0,e0)=e2|(op(e0,e0)=e1|~(op(e0,e0)=e0))))|~(epred1_0))&((op(e3,e3)=e0|(op(e0,e0)=e2|(op(e0,e0)=e1|~(op(e0,e0)=e0))))|~(epred1_0)))&((~(op(e0,e3)=e0)|(op(e0,e0)=e2|(op(e0,e0)=e1|~(op(e0,e0)=e0))))|~(epred1_0)))&((((op(e0,e0)=e3|(op(e2,e2)=e0|(op(e0,e0)=e1|~(op(e0,e0)=e0))))|~(epred1_0))&((op(e3,e3)=e0|(op(e2,e2)=e0|(op(e0,e0)=e1|~(op(e0,e0)=e0))))|~(epred1_0)))&((~(op(e0,e3)=e0)|(op(e2,e2)=e0|(op(e0,e0)=e1|~(op(e0,e0)=e0))))|~(epred1_0))))&((((op(e0,e0)=e3|(~(op(e0,e2)=e0)|(op(e0,e0)=e1|~(op(e0,e0)=e0))))|~(epred1_0))&((op(e3,e3)=e0|(~(op(e0,e2)=e0)|(op(e0,e0)=e1|~(op(e0,e0)=e0))))|~(epred1_0)))&((~(op(e0,e3)=e0)|(~(op(e0,e2)=e0)|(op(e0,e0)=e1|~(op(e0,e0)=e0))))|~(epred1_0))))&((((((op(e0,e0)=e3|(op(e0,e0)=e2|(op(e1,e1)=e0|~(op(e0,e0)=e0))))|~(epred1_0))&((op(e3,e3)=e0|(op(e0,e0)=e2|(op(e1,e1)=e0|~(op(e0,e0)=e0))))|~(epred1_0)))&((~(op(e0,e3)=e0)|(op(e0,e0)=e2|(op(e1,e1)=e0|~(op(e0,e0)=e0))))|~(epred1_0)))&((((op(e0,e0)=e3|(op(e2,e2)=e0|(op(e1,e1)=e0|~(op(e0,e0)=e0))))|~(epred1_0))&((op(e3,e3)=e0|(op(e2,e2)=e0|(op(e1,e1)=e0|~(op(e0,e0)=e0))))|~(epred1_0)))&((~(op(e0,e3)=e0)|(op(e2,e2)=e0|(op(e1,e1)=e0|~(op(e0,e0)=e0))))|~(epred1_0))))&((((op(e0,e0)=e3|(~(op(e0,e2)=e0)|(op(e1,e1)=e0|~(op(e0,e0)=e0))))|~(epred1_0))&((op(e3,e3)=e0|(~(op(e0,e2)=e0)|(op(e1,e1)=e0|~(op(e0,e0)=e0))))|~(epred1_0)))&((~(op(e0,e3)=e0)|(~(op(e0,e2)=e0)|(op(e1,e1)=e0|~(op(e0,e0)=e0))))|~(epred1_0)))))&((((((op(e0,e0)=e3|(op(e0,e0)=e2|(~(op(e0,e1)=e0)|~(op(e0,e0)=e0))))|~(epred1_0))&((op(e3,e3)=e0|(op(e0,e0)=e2|(~(op(e0,e1)=e0)|~(op(e0,e0)=e0))))|~(epred1_0)))&((~(op(e0,e3)=e0)|(op(e0,e0)=e2|(~(op(e0,e1)=e0)|~(op(e0,e0)=e0))))|~(epred1_0)))&((((op(e0,e0)=e3|(op(e2,e2)=e0|(~(op(e0,e1)=e0)|~(op(e0,e0)=e0))))|~(epred1_0))&((op(e3,e3)=e0|(op(e2,e2)=e0|(~(op(e0,e1)=e0)|~(op(e0,e0)=e0))))|~(epred1_0)))&((~(op(e0,e3)=e0)|(op(e2,e2)=e0|(~(op(e0,e1)=e0)|~(op(e0,e0)=e0))))|~(epred1_0))))&((((op(e0,e0)=e3|(~(op(e0,e2)=e0)|(~(op(e0,e1)=e0)|~(op(e0,e0)=e0))))|~(epred1_0))&((op(e3,e3)=e0|(~(op(e0,e2)=e0)|(~(op(e0,e1)=e0)|~(op(e0,e0)=e0))))|~(epred1_0)))&((~(op(e0,e3)=e0)|(~(op(e0,e2)=e0)|(~(op(e0,e1)=e0)|~(op(e0,e0)=e0))))|~(epred1_0)))))),inference(distribute,[status(thm)],[266])).
% cnf(288,plain,(op(e0,e0)=e1|op(e0,e0)=e3|~epred1_0|op(e0,e0)!=e0|op(e0,e2)!=e0),inference(split_conjunct,[status(thm)],[267])).
% cnf(292,plain,(op(e0,e0)=e1|op(e0,e0)=e2|~epred1_0|op(e0,e0)!=e0|op(e0,e3)!=e0),inference(split_conjunct,[status(thm)],[267])).
% cnf(294,plain,(op(e0,e0)=e1|op(e0,e0)=e2|op(e0,e0)=e3|~epred1_0|op(e0,e0)!=e0),inference(split_conjunct,[status(thm)],[267])).
% cnf(315,plain,(op(e0,e0)=e0|op(e0,e0)=e1|op(e0,e0)=e3|~epred1_0|op(e0,e2)!=e0),inference(split_conjunct,[status(thm)],[267])).
% cnf(319,plain,(op(e0,e0)=e0|op(e0,e0)=e1|op(e0,e0)=e2|~epred1_0|op(e0,e3)!=e0),inference(split_conjunct,[status(thm)],[267])).
% cnf(321,plain,(op(e0,e0)=e0|op(e0,e0)=e1|op(e0,e0)=e2|op(e0,e0)=e3|~epred1_0),inference(split_conjunct,[status(thm)],[267])).
% fof(322, plain,(~(epred2_0)|((((epred1_0|((op(e0,e0)=e4&op(e4,e4)=e0)&~(op(e0,e4)=e0)))|((op(e1,e1)=e0&op(e0,e0)=e1)&~(op(e1,e0)=e1)))|(op(e1,e1)=e1&~(op(e1,e1)=e1)))|((op(e1,e1)=e2&op(e2,e2)=e1)&~(op(e1,e2)=e1)))),inference(fof_nnf,[status(thm)],[17])).
% fof(323, plain,(((((((((op(e1,e1)=e2|(op(e1,e1)=e1|(op(e1,e1)=e0|(op(e0,e0)=e4|epred1_0))))|~(epred2_0))&((op(e2,e2)=e1|(op(e1,e1)=e1|(op(e1,e1)=e0|(op(e0,e0)=e4|epred1_0))))|~(epred2_0)))&((~(op(e1,e2)=e1)|(op(e1,e1)=e1|(op(e1,e1)=e0|(op(e0,e0)=e4|epred1_0))))|~(epred2_0)))&((((op(e1,e1)=e2|(~(op(e1,e1)=e1)|(op(e1,e1)=e0|(op(e0,e0)=e4|epred1_0))))|~(epred2_0))&((op(e2,e2)=e1|(~(op(e1,e1)=e1)|(op(e1,e1)=e0|(op(e0,e0)=e4|epred1_0))))|~(epred2_0)))&((~(op(e1,e2)=e1)|(~(op(e1,e1)=e1)|(op(e1,e1)=e0|(op(e0,e0)=e4|epred1_0))))|~(epred2_0))))&(((((op(e1,e1)=e2|(op(e1,e1)=e1|(op(e0,e0)=e1|(op(e0,e0)=e4|epred1_0))))|~(epred2_0))&((op(e2,e2)=e1|(op(e1,e1)=e1|(op(e0,e0)=e1|(op(e0,e0)=e4|epred1_0))))|~(epred2_0)))&((~(op(e1,e2)=e1)|(op(e1,e1)=e1|(op(e0,e0)=e1|(op(e0,e0)=e4|epred1_0))))|~(epred2_0)))&((((op(e1,e1)=e2|(~(op(e1,e1)=e1)|(op(e0,e0)=e1|(op(e0,e0)=e4|epred1_0))))|~(epred2_0))&((op(e2,e2)=e1|(~(op(e1,e1)=e1)|(op(e0,e0)=e1|(op(e0,e0)=e4|epred1_0))))|~(epred2_0)))&((~(op(e1,e2)=e1)|(~(op(e1,e1)=e1)|(op(e0,e0)=e1|(op(e0,e0)=e4|epred1_0))))|~(epred2_0)))))&(((((op(e1,e1)=e2|(op(e1,e1)=e1|(~(op(e1,e0)=e1)|(op(e0,e0)=e4|epred1_0))))|~(epred2_0))&((op(e2,e2)=e1|(op(e1,e1)=e1|(~(op(e1,e0)=e1)|(op(e0,e0)=e4|epred1_0))))|~(epred2_0)))&((~(op(e1,e2)=e1)|(op(e1,e1)=e1|(~(op(e1,e0)=e1)|(op(e0,e0)=e4|epred1_0))))|~(epred2_0)))&((((op(e1,e1)=e2|(~(op(e1,e1)=e1)|(~(op(e1,e0)=e1)|(op(e0,e0)=e4|epred1_0))))|~(epred2_0))&((op(e2,e2)=e1|(~(op(e1,e1)=e1)|(~(op(e1,e0)=e1)|(op(e0,e0)=e4|epred1_0))))|~(epred2_0)))&((~(op(e1,e2)=e1)|(~(op(e1,e1)=e1)|(~(op(e1,e0)=e1)|(op(e0,e0)=e4|epred1_0))))|~(epred2_0)))))&(((((((op(e1,e1)=e2|(op(e1,e1)=e1|(op(e1,e1)=e0|(op(e4,e4)=e0|epred1_0))))|~(epred2_0))&((op(e2,e2)=e1|(op(e1,e1)=e1|(op(e1,e1)=e0|(op(e4,e4)=e0|epred1_0))))|~(epred2_0)))&((~(op(e1,e2)=e1)|(op(e1,e1)=e1|(op(e1,e1)=e0|(op(e4,e4)=e0|epred1_0))))|~(epred2_0)))&((((op(e1,e1)=e2|(~(op(e1,e1)=e1)|(op(e1,e1)=e0|(op(e4,e4)=e0|epred1_0))))|~(epred2_0))&((op(e2,e2)=e1|(~(op(e1,e1)=e1)|(op(e1,e1)=e0|(op(e4,e4)=e0|epred1_0))))|~(epred2_0)))&((~(op(e1,e2)=e1)|(~(op(e1,e1)=e1)|(op(e1,e1)=e0|(op(e4,e4)=e0|epred1_0))))|~(epred2_0))))&(((((op(e1,e1)=e2|(op(e1,e1)=e1|(op(e0,e0)=e1|(op(e4,e4)=e0|epred1_0))))|~(epred2_0))&((op(e2,e2)=e1|(op(e1,e1)=e1|(op(e0,e0)=e1|(op(e4,e4)=e0|epred1_0))))|~(epred2_0)))&((~(op(e1,e2)=e1)|(op(e1,e1)=e1|(op(e0,e0)=e1|(op(e4,e4)=e0|epred1_0))))|~(epred2_0)))&((((op(e1,e1)=e2|(~(op(e1,e1)=e1)|(op(e0,e0)=e1|(op(e4,e4)=e0|epred1_0))))|~(epred2_0))&((op(e2,e2)=e1|(~(op(e1,e1)=e1)|(op(e0,e0)=e1|(op(e4,e4)=e0|epred1_0))))|~(epred2_0)))&((~(op(e1,e2)=e1)|(~(op(e1,e1)=e1)|(op(e0,e0)=e1|(op(e4,e4)=e0|epred1_0))))|~(epred2_0)))))&(((((op(e1,e1)=e2|(op(e1,e1)=e1|(~(op(e1,e0)=e1)|(op(e4,e4)=e0|epred1_0))))|~(epred2_0))&((op(e2,e2)=e1|(op(e1,e1)=e1|(~(op(e1,e0)=e1)|(op(e4,e4)=e0|epred1_0))))|~(epred2_0)))&((~(op(e1,e2)=e1)|(op(e1,e1)=e1|(~(op(e1,e0)=e1)|(op(e4,e4)=e0|epred1_0))))|~(epred2_0)))&((((op(e1,e1)=e2|(~(op(e1,e1)=e1)|(~(op(e1,e0)=e1)|(op(e4,e4)=e0|epred1_0))))|~(epred2_0))&((op(e2,e2)=e1|(~(op(e1,e1)=e1)|(~(op(e1,e0)=e1)|(op(e4,e4)=e0|epred1_0))))|~(epred2_0)))&((~(op(e1,e2)=e1)|(~(op(e1,e1)=e1)|(~(op(e1,e0)=e1)|(op(e4,e4)=e0|epred1_0))))|~(epred2_0))))))&(((((((op(e1,e1)=e2|(op(e1,e1)=e1|(op(e1,e1)=e0|(~(op(e0,e4)=e0)|epred1_0))))|~(epred2_0))&((op(e2,e2)=e1|(op(e1,e1)=e1|(op(e1,e1)=e0|(~(op(e0,e4)=e0)|epred1_0))))|~(epred2_0)))&((~(op(e1,e2)=e1)|(op(e1,e1)=e1|(op(e1,e1)=e0|(~(op(e0,e4)=e0)|epred1_0))))|~(epred2_0)))&((((op(e1,e1)=e2|(~(op(e1,e1)=e1)|(op(e1,e1)=e0|(~(op(e0,e4)=e0)|epred1_0))))|~(epred2_0))&((op(e2,e2)=e1|(~(op(e1,e1)=e1)|(op(e1,e1)=e0|(~(op(e0,e4)=e0)|epred1_0))))|~(epred2_0)))&((~(op(e1,e2)=e1)|(~(op(e1,e1)=e1)|(op(e1,e1)=e0|(~(op(e0,e4)=e0)|epred1_0))))|~(epred2_0))))&(((((op(e1,e1)=e2|(op(e1,e1)=e1|(op(e0,e0)=e1|(~(op(e0,e4)=e0)|epred1_0))))|~(epred2_0))&((op(e2,e2)=e1|(op(e1,e1)=e1|(op(e0,e0)=e1|(~(op(e0,e4)=e0)|epred1_0))))|~(epred2_0)))&((~(op(e1,e2)=e1)|(op(e1,e1)=e1|(op(e0,e0)=e1|(~(op(e0,e4)=e0)|epred1_0))))|~(epred2_0)))&((((op(e1,e1)=e2|(~(op(e1,e1)=e1)|(op(e0,e0)=e1|(~(op(e0,e4)=e0)|epred1_0))))|~(epred2_0))&((op(e2,e2)=e1|(~(op(e1,e1)=e1)|(op(e0,e0)=e1|(~(op(e0,e4)=e0)|epred1_0))))|~(epred2_0)))&((~(op(e1,e2)=e1)|(~(op(e1,e1)=e1)|(op(e0,e0)=e1|(~(op(e0,e4)=e0)|epred1_0))))|~(epred2_0)))))&(((((op(e1,e1)=e2|(op(e1,e1)=e1|(~(op(e1,e0)=e1)|(~(op(e0,e4)=e0)|epred1_0))))|~(epred2_0))&((op(e2,e2)=e1|(op(e1,e1)=e1|(~(op(e1,e0)=e1)|(~(op(e0,e4)=e0)|epred1_0))))|~(epred2_0)))&((~(op(e1,e2)=e1)|(op(e1,e1)=e1|(~(op(e1,e0)=e1)|(~(op(e0,e4)=e0)|epred1_0))))|~(epred2_0)))&((((op(e1,e1)=e2|(~(op(e1,e1)=e1)|(~(op(e1,e0)=e1)|(~(op(e0,e4)=e0)|epred1_0))))|~(epred2_0))&((op(e2,e2)=e1|(~(op(e1,e1)=e1)|(~(op(e1,e0)=e1)|(~(op(e0,e4)=e0)|epred1_0))))|~(epred2_0)))&((~(op(e1,e2)=e1)|(~(op(e1,e1)=e1)|(~(op(e1,e0)=e1)|(~(op(e0,e4)=e0)|epred1_0))))|~(epred2_0)))))),inference(distribute,[status(thm)],[322])).
% cnf(329,plain,(epred1_0|op(e1,e1)=e1|op(e1,e1)=e2|~epred2_0|op(e0,e4)!=e0|op(e1,e0)!=e1),inference(split_conjunct,[status(thm)],[323])).
% cnf(365,plain,(epred1_0|op(e0,e0)=e4|op(e1,e1)=e1|op(e1,e1)=e2|~epred2_0|op(e1,e0)!=e1),inference(split_conjunct,[status(thm)],[323])).
% fof(378, plain,(~(epred3_0)|(((epred2_0|((op(e1,e1)=e3&op(e3,e3)=e1)&~(op(e1,e3)=e1)))|((op(e1,e1)=e4&op(e4,e4)=e1)&~(op(e1,e4)=e1)))|((op(e2,e2)=e0&op(e0,e0)=e2)&~(op(e2,e0)=e2)))),inference(fof_nnf,[status(thm)],[18])).
% fof(379, plain,((((((((op(e2,e2)=e0|(op(e1,e1)=e4|(op(e1,e1)=e3|epred2_0)))|~(epred3_0))&((op(e0,e0)=e2|(op(e1,e1)=e4|(op(e1,e1)=e3|epred2_0)))|~(epred3_0)))&((~(op(e2,e0)=e2)|(op(e1,e1)=e4|(op(e1,e1)=e3|epred2_0)))|~(epred3_0)))&((((op(e2,e2)=e0|(op(e4,e4)=e1|(op(e1,e1)=e3|epred2_0)))|~(epred3_0))&((op(e0,e0)=e2|(op(e4,e4)=e1|(op(e1,e1)=e3|epred2_0)))|~(epred3_0)))&((~(op(e2,e0)=e2)|(op(e4,e4)=e1|(op(e1,e1)=e3|epred2_0)))|~(epred3_0))))&((((op(e2,e2)=e0|(~(op(e1,e4)=e1)|(op(e1,e1)=e3|epred2_0)))|~(epred3_0))&((op(e0,e0)=e2|(~(op(e1,e4)=e1)|(op(e1,e1)=e3|epred2_0)))|~(epred3_0)))&((~(op(e2,e0)=e2)|(~(op(e1,e4)=e1)|(op(e1,e1)=e3|epred2_0)))|~(epred3_0))))&((((((op(e2,e2)=e0|(op(e1,e1)=e4|(op(e3,e3)=e1|epred2_0)))|~(epred3_0))&((op(e0,e0)=e2|(op(e1,e1)=e4|(op(e3,e3)=e1|epred2_0)))|~(epred3_0)))&((~(op(e2,e0)=e2)|(op(e1,e1)=e4|(op(e3,e3)=e1|epred2_0)))|~(epred3_0)))&((((op(e2,e2)=e0|(op(e4,e4)=e1|(op(e3,e3)=e1|epred2_0)))|~(epred3_0))&((op(e0,e0)=e2|(op(e4,e4)=e1|(op(e3,e3)=e1|epred2_0)))|~(epred3_0)))&((~(op(e2,e0)=e2)|(op(e4,e4)=e1|(op(e3,e3)=e1|epred2_0)))|~(epred3_0))))&((((op(e2,e2)=e0|(~(op(e1,e4)=e1)|(op(e3,e3)=e1|epred2_0)))|~(epred3_0))&((op(e0,e0)=e2|(~(op(e1,e4)=e1)|(op(e3,e3)=e1|epred2_0)))|~(epred3_0)))&((~(op(e2,e0)=e2)|(~(op(e1,e4)=e1)|(op(e3,e3)=e1|epred2_0)))|~(epred3_0)))))&((((((op(e2,e2)=e0|(op(e1,e1)=e4|(~(op(e1,e3)=e1)|epred2_0)))|~(epred3_0))&((op(e0,e0)=e2|(op(e1,e1)=e4|(~(op(e1,e3)=e1)|epred2_0)))|~(epred3_0)))&((~(op(e2,e0)=e2)|(op(e1,e1)=e4|(~(op(e1,e3)=e1)|epred2_0)))|~(epred3_0)))&((((op(e2,e2)=e0|(op(e4,e4)=e1|(~(op(e1,e3)=e1)|epred2_0)))|~(epred3_0))&((op(e0,e0)=e2|(op(e4,e4)=e1|(~(op(e1,e3)=e1)|epred2_0)))|~(epred3_0)))&((~(op(e2,e0)=e2)|(op(e4,e4)=e1|(~(op(e1,e3)=e1)|epred2_0)))|~(epred3_0))))&((((op(e2,e2)=e0|(~(op(e1,e4)=e1)|(~(op(e1,e3)=e1)|epred2_0)))|~(epred3_0))&((op(e0,e0)=e2|(~(op(e1,e4)=e1)|(~(op(e1,e3)=e1)|epred2_0)))|~(epred3_0)))&((~(op(e2,e0)=e2)|(~(op(e1,e4)=e1)|(~(op(e1,e3)=e1)|epred2_0)))|~(epred3_0))))),inference(distribute,[status(thm)],[378])).
% cnf(404,plain,(epred2_0|op(e1,e1)=e3|op(e1,e1)=e4|~epred3_0|op(e2,e0)!=e2),inference(split_conjunct,[status(thm)],[379])).
% cnf(406,plain,(epred2_0|op(e1,e1)=e3|op(e1,e1)=e4|op(e2,e2)=e0|~epred3_0),inference(split_conjunct,[status(thm)],[379])).
% fof(407, plain,(~(epred4_0)|((((epred3_0|((op(e2,e2)=e1&op(e1,e1)=e2)&~(op(e2,e1)=e2)))|(op(e2,e2)=e2&~(op(e2,e2)=e2)))|((op(e2,e2)=e3&op(e3,e3)=e2)&~(op(e2,e3)=e2)))|((op(e2,e2)=e4&op(e4,e4)=e2)&~(op(e2,e4)=e2)))),inference(fof_nnf,[status(thm)],[19])).
% fof(408, plain,(((((((((op(e2,e2)=e4|(op(e2,e2)=e3|(op(e2,e2)=e2|(op(e2,e2)=e1|epred3_0))))|~(epred4_0))&((op(e4,e4)=e2|(op(e2,e2)=e3|(op(e2,e2)=e2|(op(e2,e2)=e1|epred3_0))))|~(epred4_0)))&((~(op(e2,e4)=e2)|(op(e2,e2)=e3|(op(e2,e2)=e2|(op(e2,e2)=e1|epred3_0))))|~(epred4_0)))&((((op(e2,e2)=e4|(op(e3,e3)=e2|(op(e2,e2)=e2|(op(e2,e2)=e1|epred3_0))))|~(epred4_0))&((op(e4,e4)=e2|(op(e3,e3)=e2|(op(e2,e2)=e2|(op(e2,e2)=e1|epred3_0))))|~(epred4_0)))&((~(op(e2,e4)=e2)|(op(e3,e3)=e2|(op(e2,e2)=e2|(op(e2,e2)=e1|epred3_0))))|~(epred4_0))))&((((op(e2,e2)=e4|(~(op(e2,e3)=e2)|(op(e2,e2)=e2|(op(e2,e2)=e1|epred3_0))))|~(epred4_0))&((op(e4,e4)=e2|(~(op(e2,e3)=e2)|(op(e2,e2)=e2|(op(e2,e2)=e1|epred3_0))))|~(epred4_0)))&((~(op(e2,e4)=e2)|(~(op(e2,e3)=e2)|(op(e2,e2)=e2|(op(e2,e2)=e1|epred3_0))))|~(epred4_0))))&((((((op(e2,e2)=e4|(op(e2,e2)=e3|(~(op(e2,e2)=e2)|(op(e2,e2)=e1|epred3_0))))|~(epred4_0))&((op(e4,e4)=e2|(op(e2,e2)=e3|(~(op(e2,e2)=e2)|(op(e2,e2)=e1|epred3_0))))|~(epred4_0)))&((~(op(e2,e4)=e2)|(op(e2,e2)=e3|(~(op(e2,e2)=e2)|(op(e2,e2)=e1|epred3_0))))|~(epred4_0)))&((((op(e2,e2)=e4|(op(e3,e3)=e2|(~(op(e2,e2)=e2)|(op(e2,e2)=e1|epred3_0))))|~(epred4_0))&((op(e4,e4)=e2|(op(e3,e3)=e2|(~(op(e2,e2)=e2)|(op(e2,e2)=e1|epred3_0))))|~(epred4_0)))&((~(op(e2,e4)=e2)|(op(e3,e3)=e2|(~(op(e2,e2)=e2)|(op(e2,e2)=e1|epred3_0))))|~(epred4_0))))&((((op(e2,e2)=e4|(~(op(e2,e3)=e2)|(~(op(e2,e2)=e2)|(op(e2,e2)=e1|epred3_0))))|~(epred4_0))&((op(e4,e4)=e2|(~(op(e2,e3)=e2)|(~(op(e2,e2)=e2)|(op(e2,e2)=e1|epred3_0))))|~(epred4_0)))&((~(op(e2,e4)=e2)|(~(op(e2,e3)=e2)|(~(op(e2,e2)=e2)|(op(e2,e2)=e1|epred3_0))))|~(epred4_0)))))&(((((((op(e2,e2)=e4|(op(e2,e2)=e3|(op(e2,e2)=e2|(op(e1,e1)=e2|epred3_0))))|~(epred4_0))&((op(e4,e4)=e2|(op(e2,e2)=e3|(op(e2,e2)=e2|(op(e1,e1)=e2|epred3_0))))|~(epred4_0)))&((~(op(e2,e4)=e2)|(op(e2,e2)=e3|(op(e2,e2)=e2|(op(e1,e1)=e2|epred3_0))))|~(epred4_0)))&((((op(e2,e2)=e4|(op(e3,e3)=e2|(op(e2,e2)=e2|(op(e1,e1)=e2|epred3_0))))|~(epred4_0))&((op(e4,e4)=e2|(op(e3,e3)=e2|(op(e2,e2)=e2|(op(e1,e1)=e2|epred3_0))))|~(epred4_0)))&((~(op(e2,e4)=e2)|(op(e3,e3)=e2|(op(e2,e2)=e2|(op(e1,e1)=e2|epred3_0))))|~(epred4_0))))&((((op(e2,e2)=e4|(~(op(e2,e3)=e2)|(op(e2,e2)=e2|(op(e1,e1)=e2|epred3_0))))|~(epred4_0))&((op(e4,e4)=e2|(~(op(e2,e3)=e2)|(op(e2,e2)=e2|(op(e1,e1)=e2|epred3_0))))|~(epred4_0)))&((~(op(e2,e4)=e2)|(~(op(e2,e3)=e2)|(op(e2,e2)=e2|(op(e1,e1)=e2|epred3_0))))|~(epred4_0))))&((((((op(e2,e2)=e4|(op(e2,e2)=e3|(~(op(e2,e2)=e2)|(op(e1,e1)=e2|epred3_0))))|~(epred4_0))&((op(e4,e4)=e2|(op(e2,e2)=e3|(~(op(e2,e2)=e2)|(op(e1,e1)=e2|epred3_0))))|~(epred4_0)))&((~(op(e2,e4)=e2)|(op(e2,e2)=e3|(~(op(e2,e2)=e2)|(op(e1,e1)=e2|epred3_0))))|~(epred4_0)))&((((op(e2,e2)=e4|(op(e3,e3)=e2|(~(op(e2,e2)=e2)|(op(e1,e1)=e2|epred3_0))))|~(epred4_0))&((op(e4,e4)=e2|(op(e3,e3)=e2|(~(op(e2,e2)=e2)|(op(e1,e1)=e2|epred3_0))))|~(epred4_0)))&((~(op(e2,e4)=e2)|(op(e3,e3)=e2|(~(op(e2,e2)=e2)|(op(e1,e1)=e2|epred3_0))))|~(epred4_0))))&((((op(e2,e2)=e4|(~(op(e2,e3)=e2)|(~(op(e2,e2)=e2)|(op(e1,e1)=e2|epred3_0))))|~(epred4_0))&((op(e4,e4)=e2|(~(op(e2,e3)=e2)|(~(op(e2,e2)=e2)|(op(e1,e1)=e2|epred3_0))))|~(epred4_0)))&((~(op(e2,e4)=e2)|(~(op(e2,e3)=e2)|(~(op(e2,e2)=e2)|(op(e1,e1)=e2|epred3_0))))|~(epred4_0))))))&(((((((op(e2,e2)=e4|(op(e2,e2)=e3|(op(e2,e2)=e2|(~(op(e2,e1)=e2)|epred3_0))))|~(epred4_0))&((op(e4,e4)=e2|(op(e2,e2)=e3|(op(e2,e2)=e2|(~(op(e2,e1)=e2)|epred3_0))))|~(epred4_0)))&((~(op(e2,e4)=e2)|(op(e2,e2)=e3|(op(e2,e2)=e2|(~(op(e2,e1)=e2)|epred3_0))))|~(epred4_0)))&((((op(e2,e2)=e4|(op(e3,e3)=e2|(op(e2,e2)=e2|(~(op(e2,e1)=e2)|epred3_0))))|~(epred4_0))&((op(e4,e4)=e2|(op(e3,e3)=e2|(op(e2,e2)=e2|(~(op(e2,e1)=e2)|epred3_0))))|~(epred4_0)))&((~(op(e2,e4)=e2)|(op(e3,e3)=e2|(op(e2,e2)=e2|(~(op(e2,e1)=e2)|epred3_0))))|~(epred4_0))))&((((op(e2,e2)=e4|(~(op(e2,e3)=e2)|(op(e2,e2)=e2|(~(op(e2,e1)=e2)|epred3_0))))|~(epred4_0))&((op(e4,e4)=e2|(~(op(e2,e3)=e2)|(op(e2,e2)=e2|(~(op(e2,e1)=e2)|epred3_0))))|~(epred4_0)))&((~(op(e2,e4)=e2)|(~(op(e2,e3)=e2)|(op(e2,e2)=e2|(~(op(e2,e1)=e2)|epred3_0))))|~(epred4_0))))&((((((op(e2,e2)=e4|(op(e2,e2)=e3|(~(op(e2,e2)=e2)|(~(op(e2,e1)=e2)|epred3_0))))|~(epred4_0))&((op(e4,e4)=e2|(op(e2,e2)=e3|(~(op(e2,e2)=e2)|(~(op(e2,e1)=e2)|epred3_0))))|~(epred4_0)))&((~(op(e2,e4)=e2)|(op(e2,e2)=e3|(~(op(e2,e2)=e2)|(~(op(e2,e1)=e2)|epred3_0))))|~(epred4_0)))&((((op(e2,e2)=e4|(op(e3,e3)=e2|(~(op(e2,e2)=e2)|(~(op(e2,e1)=e2)|epred3_0))))|~(epred4_0))&((op(e4,e4)=e2|(op(e3,e3)=e2|(~(op(e2,e2)=e2)|(~(op(e2,e1)=e2)|epred3_0))))|~(epred4_0)))&((~(op(e2,e4)=e2)|(op(e3,e3)=e2|(~(op(e2,e2)=e2)|(~(op(e2,e1)=e2)|epred3_0))))|~(epred4_0))))&((((op(e2,e2)=e4|(~(op(e2,e3)=e2)|(~(op(e2,e2)=e2)|(~(op(e2,e1)=e2)|epred3_0))))|~(epred4_0))&((op(e4,e4)=e2|(~(op(e2,e3)=e2)|(~(op(e2,e2)=e2)|(~(op(e2,e1)=e2)|epred3_0))))|~(epred4_0)))&((~(op(e2,e4)=e2)|(~(op(e2,e3)=e2)|(~(op(e2,e2)=e2)|(~(op(e2,e1)=e2)|epred3_0))))|~(epred4_0)))))),inference(distribute,[status(thm)],[407])).
% cnf(435,plain,(epred3_0|op(e1,e1)=e2|op(e2,e2)=e3|op(e2,e2)=e4|~epred4_0|op(e2,e2)!=e2),inference(split_conjunct,[status(thm)],[408])).
% cnf(444,plain,(epred3_0|op(e1,e1)=e2|op(e2,e2)=e2|op(e2,e2)=e3|op(e2,e2)=e4|~epred4_0),inference(split_conjunct,[status(thm)],[408])).
% fof(463, plain,(~(epred5_0)|(((epred4_0|((op(e3,e3)=e0&op(e0,e0)=e3)&~(op(e3,e0)=e3)))|((op(e3,e3)=e1&op(e1,e1)=e3)&~(op(e3,e1)=e3)))|((op(e3,e3)=e2&op(e2,e2)=e3)&~(op(e3,e2)=e3)))),inference(fof_nnf,[status(thm)],[20])).
% fof(464, plain,((((((((op(e3,e3)=e2|(op(e3,e3)=e1|(op(e3,e3)=e0|epred4_0)))|~(epred5_0))&((op(e2,e2)=e3|(op(e3,e3)=e1|(op(e3,e3)=e0|epred4_0)))|~(epred5_0)))&((~(op(e3,e2)=e3)|(op(e3,e3)=e1|(op(e3,e3)=e0|epred4_0)))|~(epred5_0)))&((((op(e3,e3)=e2|(op(e1,e1)=e3|(op(e3,e3)=e0|epred4_0)))|~(epred5_0))&((op(e2,e2)=e3|(op(e1,e1)=e3|(op(e3,e3)=e0|epred4_0)))|~(epred5_0)))&((~(op(e3,e2)=e3)|(op(e1,e1)=e3|(op(e3,e3)=e0|epred4_0)))|~(epred5_0))))&((((op(e3,e3)=e2|(~(op(e3,e1)=e3)|(op(e3,e3)=e0|epred4_0)))|~(epred5_0))&((op(e2,e2)=e3|(~(op(e3,e1)=e3)|(op(e3,e3)=e0|epred4_0)))|~(epred5_0)))&((~(op(e3,e2)=e3)|(~(op(e3,e1)=e3)|(op(e3,e3)=e0|epred4_0)))|~(epred5_0))))&((((((op(e3,e3)=e2|(op(e3,e3)=e1|(op(e0,e0)=e3|epred4_0)))|~(epred5_0))&((op(e2,e2)=e3|(op(e3,e3)=e1|(op(e0,e0)=e3|epred4_0)))|~(epred5_0)))&((~(op(e3,e2)=e3)|(op(e3,e3)=e1|(op(e0,e0)=e3|epred4_0)))|~(epred5_0)))&((((op(e3,e3)=e2|(op(e1,e1)=e3|(op(e0,e0)=e3|epred4_0)))|~(epred5_0))&((op(e2,e2)=e3|(op(e1,e1)=e3|(op(e0,e0)=e3|epred4_0)))|~(epred5_0)))&((~(op(e3,e2)=e3)|(op(e1,e1)=e3|(op(e0,e0)=e3|epred4_0)))|~(epred5_0))))&((((op(e3,e3)=e2|(~(op(e3,e1)=e3)|(op(e0,e0)=e3|epred4_0)))|~(epred5_0))&((op(e2,e2)=e3|(~(op(e3,e1)=e3)|(op(e0,e0)=e3|epred4_0)))|~(epred5_0)))&((~(op(e3,e2)=e3)|(~(op(e3,e1)=e3)|(op(e0,e0)=e3|epred4_0)))|~(epred5_0)))))&((((((op(e3,e3)=e2|(op(e3,e3)=e1|(~(op(e3,e0)=e3)|epred4_0)))|~(epred5_0))&((op(e2,e2)=e3|(op(e3,e3)=e1|(~(op(e3,e0)=e3)|epred4_0)))|~(epred5_0)))&((~(op(e3,e2)=e3)|(op(e3,e3)=e1|(~(op(e3,e0)=e3)|epred4_0)))|~(epred5_0)))&((((op(e3,e3)=e2|(op(e1,e1)=e3|(~(op(e3,e0)=e3)|epred4_0)))|~(epred5_0))&((op(e2,e2)=e3|(op(e1,e1)=e3|(~(op(e3,e0)=e3)|epred4_0)))|~(epred5_0)))&((~(op(e3,e2)=e3)|(op(e1,e1)=e3|(~(op(e3,e0)=e3)|epred4_0)))|~(epred5_0))))&((((op(e3,e3)=e2|(~(op(e3,e1)=e3)|(~(op(e3,e0)=e3)|epred4_0)))|~(epred5_0))&((op(e2,e2)=e3|(~(op(e3,e1)=e3)|(~(op(e3,e0)=e3)|epred4_0)))|~(epred5_0)))&((~(op(e3,e2)=e3)|(~(op(e3,e1)=e3)|(~(op(e3,e0)=e3)|epred4_0)))|~(epred5_0))))),inference(distribute,[status(thm)],[463])).
% cnf(469,plain,(epred4_0|op(e1,e1)=e3|op(e2,e2)=e3|~epred5_0|op(e3,e0)!=e3),inference(split_conjunct,[status(thm)],[464])).
% cnf(487,plain,(epred4_0|op(e3,e3)=e0|op(e1,e1)=e3|op(e2,e2)=e3|~epred5_0),inference(split_conjunct,[status(thm)],[464])).
% fof(492, plain,(~(epred6_0)|((((epred5_0|(op(e3,e3)=e3&~(op(e3,e3)=e3)))|((op(e3,e3)=e4&op(e4,e4)=e3)&~(op(e3,e4)=e3)))|((op(e4,e4)=e0&op(e0,e0)=e4)&~(op(e4,e0)=e4)))|((op(e4,e4)=e1&op(e1,e1)=e4)&~(op(e4,e1)=e4)))),inference(fof_nnf,[status(thm)],[21])).
% fof(493, plain,(((((((((op(e4,e4)=e1|(op(e4,e4)=e0|(op(e3,e3)=e4|(op(e3,e3)=e3|epred5_0))))|~(epred6_0))&((op(e1,e1)=e4|(op(e4,e4)=e0|(op(e3,e3)=e4|(op(e3,e3)=e3|epred5_0))))|~(epred6_0)))&((~(op(e4,e1)=e4)|(op(e4,e4)=e0|(op(e3,e3)=e4|(op(e3,e3)=e3|epred5_0))))|~(epred6_0)))&((((op(e4,e4)=e1|(op(e0,e0)=e4|(op(e3,e3)=e4|(op(e3,e3)=e3|epred5_0))))|~(epred6_0))&((op(e1,e1)=e4|(op(e0,e0)=e4|(op(e3,e3)=e4|(op(e3,e3)=e3|epred5_0))))|~(epred6_0)))&((~(op(e4,e1)=e4)|(op(e0,e0)=e4|(op(e3,e3)=e4|(op(e3,e3)=e3|epred5_0))))|~(epred6_0))))&((((op(e4,e4)=e1|(~(op(e4,e0)=e4)|(op(e3,e3)=e4|(op(e3,e3)=e3|epred5_0))))|~(epred6_0))&((op(e1,e1)=e4|(~(op(e4,e0)=e4)|(op(e3,e3)=e4|(op(e3,e3)=e3|epred5_0))))|~(epred6_0)))&((~(op(e4,e1)=e4)|(~(op(e4,e0)=e4)|(op(e3,e3)=e4|(op(e3,e3)=e3|epred5_0))))|~(epred6_0))))&((((((op(e4,e4)=e1|(op(e4,e4)=e0|(op(e4,e4)=e3|(op(e3,e3)=e3|epred5_0))))|~(epred6_0))&((op(e1,e1)=e4|(op(e4,e4)=e0|(op(e4,e4)=e3|(op(e3,e3)=e3|epred5_0))))|~(epred6_0)))&((~(op(e4,e1)=e4)|(op(e4,e4)=e0|(op(e4,e4)=e3|(op(e3,e3)=e3|epred5_0))))|~(epred6_0)))&((((op(e4,e4)=e1|(op(e0,e0)=e4|(op(e4,e4)=e3|(op(e3,e3)=e3|epred5_0))))|~(epred6_0))&((op(e1,e1)=e4|(op(e0,e0)=e4|(op(e4,e4)=e3|(op(e3,e3)=e3|epred5_0))))|~(epred6_0)))&((~(op(e4,e1)=e4)|(op(e0,e0)=e4|(op(e4,e4)=e3|(op(e3,e3)=e3|epred5_0))))|~(epred6_0))))&((((op(e4,e4)=e1|(~(op(e4,e0)=e4)|(op(e4,e4)=e3|(op(e3,e3)=e3|epred5_0))))|~(epred6_0))&((op(e1,e1)=e4|(~(op(e4,e0)=e4)|(op(e4,e4)=e3|(op(e3,e3)=e3|epred5_0))))|~(epred6_0)))&((~(op(e4,e1)=e4)|(~(op(e4,e0)=e4)|(op(e4,e4)=e3|(op(e3,e3)=e3|epred5_0))))|~(epred6_0)))))&((((((op(e4,e4)=e1|(op(e4,e4)=e0|(~(op(e3,e4)=e3)|(op(e3,e3)=e3|epred5_0))))|~(epred6_0))&((op(e1,e1)=e4|(op(e4,e4)=e0|(~(op(e3,e4)=e3)|(op(e3,e3)=e3|epred5_0))))|~(epred6_0)))&((~(op(e4,e1)=e4)|(op(e4,e4)=e0|(~(op(e3,e4)=e3)|(op(e3,e3)=e3|epred5_0))))|~(epred6_0)))&((((op(e4,e4)=e1|(op(e0,e0)=e4|(~(op(e3,e4)=e3)|(op(e3,e3)=e3|epred5_0))))|~(epred6_0))&((op(e1,e1)=e4|(op(e0,e0)=e4|(~(op(e3,e4)=e3)|(op(e3,e3)=e3|epred5_0))))|~(epred6_0)))&((~(op(e4,e1)=e4)|(op(e0,e0)=e4|(~(op(e3,e4)=e3)|(op(e3,e3)=e3|epred5_0))))|~(epred6_0))))&((((op(e4,e4)=e1|(~(op(e4,e0)=e4)|(~(op(e3,e4)=e3)|(op(e3,e3)=e3|epred5_0))))|~(epred6_0))&((op(e1,e1)=e4|(~(op(e4,e0)=e4)|(~(op(e3,e4)=e3)|(op(e3,e3)=e3|epred5_0))))|~(epred6_0)))&((~(op(e4,e1)=e4)|(~(op(e4,e0)=e4)|(~(op(e3,e4)=e3)|(op(e3,e3)=e3|epred5_0))))|~(epred6_0)))))&((((((((op(e4,e4)=e1|(op(e4,e4)=e0|(op(e3,e3)=e4|(~(op(e3,e3)=e3)|epred5_0))))|~(epred6_0))&((op(e1,e1)=e4|(op(e4,e4)=e0|(op(e3,e3)=e4|(~(op(e3,e3)=e3)|epred5_0))))|~(epred6_0)))&((~(op(e4,e1)=e4)|(op(e4,e4)=e0|(op(e3,e3)=e4|(~(op(e3,e3)=e3)|epred5_0))))|~(epred6_0)))&((((op(e4,e4)=e1|(op(e0,e0)=e4|(op(e3,e3)=e4|(~(op(e3,e3)=e3)|epred5_0))))|~(epred6_0))&((op(e1,e1)=e4|(op(e0,e0)=e4|(op(e3,e3)=e4|(~(op(e3,e3)=e3)|epred5_0))))|~(epred6_0)))&((~(op(e4,e1)=e4)|(op(e0,e0)=e4|(op(e3,e3)=e4|(~(op(e3,e3)=e3)|epred5_0))))|~(epred6_0))))&((((op(e4,e4)=e1|(~(op(e4,e0)=e4)|(op(e3,e3)=e4|(~(op(e3,e3)=e3)|epred5_0))))|~(epred6_0))&((op(e1,e1)=e4|(~(op(e4,e0)=e4)|(op(e3,e3)=e4|(~(op(e3,e3)=e3)|epred5_0))))|~(epred6_0)))&((~(op(e4,e1)=e4)|(~(op(e4,e0)=e4)|(op(e3,e3)=e4|(~(op(e3,e3)=e3)|epred5_0))))|~(epred6_0))))&((((((op(e4,e4)=e1|(op(e4,e4)=e0|(op(e4,e4)=e3|(~(op(e3,e3)=e3)|epred5_0))))|~(epred6_0))&((op(e1,e1)=e4|(op(e4,e4)=e0|(op(e4,e4)=e3|(~(op(e3,e3)=e3)|epred5_0))))|~(epred6_0)))&((~(op(e4,e1)=e4)|(op(e4,e4)=e0|(op(e4,e4)=e3|(~(op(e3,e3)=e3)|epred5_0))))|~(epred6_0)))&((((op(e4,e4)=e1|(op(e0,e0)=e4|(op(e4,e4)=e3|(~(op(e3,e3)=e3)|epred5_0))))|~(epred6_0))&((op(e1,e1)=e4|(op(e0,e0)=e4|(op(e4,e4)=e3|(~(op(e3,e3)=e3)|epred5_0))))|~(epred6_0)))&((~(op(e4,e1)=e4)|(op(e0,e0)=e4|(op(e4,e4)=e3|(~(op(e3,e3)=e3)|epred5_0))))|~(epred6_0))))&((((op(e4,e4)=e1|(~(op(e4,e0)=e4)|(op(e4,e4)=e3|(~(op(e3,e3)=e3)|epred5_0))))|~(epred6_0))&((op(e1,e1)=e4|(~(op(e4,e0)=e4)|(op(e4,e4)=e3|(~(op(e3,e3)=e3)|epred5_0))))|~(epred6_0)))&((~(op(e4,e1)=e4)|(~(op(e4,e0)=e4)|(op(e4,e4)=e3|(~(op(e3,e3)=e3)|epred5_0))))|~(epred6_0)))))&((((((op(e4,e4)=e1|(op(e4,e4)=e0|(~(op(e3,e4)=e3)|(~(op(e3,e3)=e3)|epred5_0))))|~(epred6_0))&((op(e1,e1)=e4|(op(e4,e4)=e0|(~(op(e3,e4)=e3)|(~(op(e3,e3)=e3)|epred5_0))))|~(epred6_0)))&((~(op(e4,e1)=e4)|(op(e4,e4)=e0|(~(op(e3,e4)=e3)|(~(op(e3,e3)=e3)|epred5_0))))|~(epred6_0)))&((((op(e4,e4)=e1|(op(e0,e0)=e4|(~(op(e3,e4)=e3)|(~(op(e3,e3)=e3)|epred5_0))))|~(epred6_0))&((op(e1,e1)=e4|(op(e0,e0)=e4|(~(op(e3,e4)=e3)|(~(op(e3,e3)=e3)|epred5_0))))|~(epred6_0)))&((~(op(e4,e1)=e4)|(op(e0,e0)=e4|(~(op(e3,e4)=e3)|(~(op(e3,e3)=e3)|epred5_0))))|~(epred6_0))))&((((op(e4,e4)=e1|(~(op(e4,e0)=e4)|(~(op(e3,e4)=e3)|(~(op(e3,e3)=e3)|epred5_0))))|~(epred6_0))&((op(e1,e1)=e4|(~(op(e4,e0)=e4)|(~(op(e3,e4)=e3)|(~(op(e3,e3)=e3)|epred5_0))))|~(epred6_0)))&((~(op(e4,e1)=e4)|(~(op(e4,e0)=e4)|(~(op(e3,e4)=e3)|(~(op(e3,e3)=e3)|epred5_0))))|~(epred6_0)))))),inference(distribute,[status(thm)],[492])).
% cnf(504,plain,(epred5_0|op(e4,e4)=e3|op(e1,e1)=e4|~epred6_0|op(e3,e3)!=e3|op(e4,e0)!=e4),inference(split_conjunct,[status(thm)],[493])).
% cnf(510,plain,(epred5_0|op(e4,e4)=e3|op(e4,e4)=e0|op(e1,e1)=e4|~epred6_0|op(e3,e3)!=e3),inference(split_conjunct,[status(thm)],[493])).
% cnf(531,plain,(epred5_0|op(e3,e3)=e3|op(e4,e4)=e3|op(e1,e1)=e4|~epred6_0|op(e4,e0)!=e4),inference(split_conjunct,[status(thm)],[493])).
% cnf(537,plain,(epred5_0|op(e3,e3)=e3|op(e4,e4)=e3|op(e4,e4)=e0|op(e1,e1)=e4|~epred6_0),inference(split_conjunct,[status(thm)],[493])).
% cnf(548,negated_conjecture,(e3=e2|op(e2,e2)!=e4),inference(rw,[status(thm)],[251,197,theory(equality)])).
% cnf(549,negated_conjecture,(op(e2,e2)!=e4),inference(sr,[status(thm)],[548,213,theory(equality)])).
% cnf(552,plain,(op(e1,e1)=e0),inference(rw,[status(thm)],[inference(rw,[status(thm)],[199,198,theory(equality)]),198,theory(equality)])).
% cnf(561,negated_conjecture,(op(e1,e0)=e1|$false),inference(rw,[status(thm)],[260,552,theory(equality)])).
% cnf(562,negated_conjecture,(op(e1,e0)=e1),inference(cn,[status(thm)],[561,theory(equality)])).
% cnf(565,negated_conjecture,(op(e4,e4)=e3|op(e4,e4)=e4|epred6_0),inference(sr,[status(thm)],[234,549,theory(equality)])).
% cnf(570,negated_conjecture,(op(e4,e4)=e3|epred6_0|op(e4,e4)!=e4),inference(sr,[status(thm)],[233,549,theory(equality)])).
% cnf(571,negated_conjecture,(op(e4,e4)=e3|epred6_0),inference(csr,[status(thm)],[570,565])).
% cnf(584,plain,(e3!=op(e2,e2)),inference(rw,[status(thm)],[118,197,theory(equality)])).
% cnf(629,plain,(op(e4,e4)!=e3),inference(rw,[status(thm)],[148,197,theory(equality)])).
% cnf(630,negated_conjecture,(epred6_0),inference(sr,[status(thm)],[571,629,theory(equality)])).
% cnf(665,plain,(e0=e3|op(e1,e1)=e4|op(e2,e2)=e0|epred2_0|~epred3_0),inference(rw,[status(thm)],[406,552,theory(equality)])).
% cnf(666,plain,(e0=e3|e0=e4|op(e2,e2)=e0|epred2_0|~epred3_0),inference(rw,[status(thm)],[665,552,theory(equality)])).
% cnf(667,plain,(e4=e0|op(e2,e2)=e0|epred2_0|~epred3_0),inference(sr,[status(thm)],[666,218,theory(equality)])).
% cnf(668,plain,(op(e2,e2)=e0|epred2_0|~epred3_0),inference(sr,[status(thm)],[667,217,theory(equality)])).
% cnf(675,plain,(e0=e3|op(e2,e2)=e3|op(e3,e3)=e0|epred4_0|~epred5_0),inference(rw,[status(thm)],[487,552,theory(equality)])).
% cnf(676,plain,(op(e2,e2)=e3|op(e3,e3)=e0|epred4_0|~epred5_0),inference(sr,[status(thm)],[675,218,theory(equality)])).
% cnf(677,plain,(op(e3,e3)=e0|epred4_0|~epred5_0),inference(sr,[status(thm)],[676,584,theory(equality)])).
% cnf(714,plain,(e0=e3|op(e1,e1)=e4|epred2_0|op(e2,e0)!=e2|~epred3_0),inference(rw,[status(thm)],[404,552,theory(equality)])).
% cnf(715,plain,(e0=e3|e0=e4|epred2_0|op(e2,e0)!=e2|~epred3_0),inference(rw,[status(thm)],[714,552,theory(equality)])).
% cnf(716,plain,(e4=e0|epred2_0|op(e2,e0)!=e2|~epred3_0),inference(sr,[status(thm)],[715,218,theory(equality)])).
% cnf(717,plain,(epred2_0|op(e2,e0)!=e2|~epred3_0),inference(sr,[status(thm)],[716,217,theory(equality)])).
% cnf(721,plain,(e0=e3|op(e2,e2)=e3|epred4_0|op(e3,e0)!=e3|~epred5_0),inference(rw,[status(thm)],[469,552,theory(equality)])).
% cnf(722,plain,(op(e2,e2)=e3|epred4_0|op(e3,e0)!=e3|~epred5_0),inference(sr,[status(thm)],[721,218,theory(equality)])).
% cnf(723,plain,(epred4_0|op(e3,e0)!=e3|~epred5_0),inference(sr,[status(thm)],[722,584,theory(equality)])).
% cnf(858,plain,(op(e0,e0)=e1|op(e0,e0)=e2|op(e0,e0)=e3|~epred1_0),inference(csr,[status(thm)],[294,321])).
% cnf(881,plain,(op(e0,e0)=e1|op(e0,e0)=e2|op(e0,e3)!=e0|~epred1_0),inference(csr,[status(thm)],[292,319])).
% cnf(884,plain,(op(e0,e0)=e1|op(e0,e0)=e3|op(e0,e2)!=e0|~epred1_0),inference(csr,[status(thm)],[288,315])).
% cnf(935,plain,(e0=e4|op(e3,e3)=e3|op(e4,e4)=e0|op(e4,e4)=e3|epred5_0|~epred6_0),inference(rw,[status(thm)],[537,552,theory(equality)])).
% cnf(936,plain,(op(e3,e3)=e3|op(e4,e4)=e0|op(e4,e4)=e3|epred5_0|~epred6_0),inference(sr,[status(thm)],[935,217,theory(equality)])).
% cnf(937,plain,(op(e3,e3)=e3|op(e4,e4)=e0|epred5_0|~epred6_0),inference(sr,[status(thm)],[936,629,theory(equality)])).
% cnf(967,plain,(e0=e2|op(e2,e2)=e2|op(e2,e2)=e3|op(e2,e2)=e4|epred3_0|~epred4_0),inference(rw,[status(thm)],[444,552,theory(equality)])).
% cnf(968,plain,(op(e2,e2)=e2|op(e2,e2)=e3|op(e2,e2)=e4|epred3_0|~epred4_0),inference(sr,[status(thm)],[967,219,theory(equality)])).
% cnf(969,plain,(op(e2,e2)=e2|op(e2,e2)=e4|epred3_0|~epred4_0),inference(sr,[status(thm)],[968,584,theory(equality)])).
% cnf(970,plain,(op(e2,e2)=e2|epred3_0|~epred4_0),inference(sr,[status(thm)],[969,549,theory(equality)])).
% cnf(987,plain,(e0=e4|op(e3,e3)=e3|op(e4,e4)=e3|epred5_0|op(e4,e0)!=e4|~epred6_0),inference(rw,[status(thm)],[531,552,theory(equality)])).
% cnf(988,plain,(op(e3,e3)=e3|op(e4,e4)=e3|epred5_0|op(e4,e0)!=e4|~epred6_0),inference(sr,[status(thm)],[987,217,theory(equality)])).
% cnf(989,plain,(op(e3,e3)=e3|epred5_0|op(e4,e0)!=e4|~epred6_0),inference(sr,[status(thm)],[988,629,theory(equality)])).
% cnf(994,plain,(e0=e4|op(e4,e4)=e0|op(e4,e4)=e3|epred5_0|op(e3,e3)!=e3|~epred6_0),inference(rw,[status(thm)],[510,552,theory(equality)])).
% cnf(995,plain,(op(e4,e4)=e0|op(e4,e4)=e3|epred5_0|op(e3,e3)!=e3|~epred6_0),inference(sr,[status(thm)],[994,217,theory(equality)])).
% cnf(996,plain,(op(e4,e4)=e0|epred5_0|op(e3,e3)!=e3|~epred6_0),inference(sr,[status(thm)],[995,629,theory(equality)])).
% cnf(997,plain,(op(e4,e4)=e0|epred5_0|~epred6_0),inference(csr,[status(thm)],[996,937])).
% cnf(1064,plain,(e0=e4|op(e4,e4)=e3|epred5_0|op(e3,e3)!=e3|op(e4,e0)!=e4|~epred6_0),inference(rw,[status(thm)],[504,552,theory(equality)])).
% cnf(1065,plain,(op(e4,e4)=e3|epred5_0|op(e3,e3)!=e3|op(e4,e0)!=e4|~epred6_0),inference(sr,[status(thm)],[1064,217,theory(equality)])).
% cnf(1066,plain,(epred5_0|op(e3,e3)!=e3|op(e4,e0)!=e4|~epred6_0),inference(sr,[status(thm)],[1065,629,theory(equality)])).
% cnf(1067,plain,(epred5_0|op(e4,e0)!=e4|~epred6_0),inference(csr,[status(thm)],[1066,989])).
% cnf(1154,plain,(op(e0,e0)=e4|e0=e1|op(e1,e1)=e2|epred1_0|op(e1,e0)!=e1|~epred2_0),inference(rw,[status(thm)],[365,552,theory(equality)])).
% cnf(1155,plain,(op(e0,e0)=e4|e0=e1|e0=e2|epred1_0|op(e1,e0)!=e1|~epred2_0),inference(rw,[status(thm)],[1154,552,theory(equality)])).
% cnf(1156,plain,(op(e0,e0)=e4|e2=e0|epred1_0|op(e1,e0)!=e1|~epred2_0),inference(sr,[status(thm)],[1155,220,theory(equality)])).
% cnf(1157,plain,(op(e0,e0)=e4|epred1_0|op(e1,e0)!=e1|~epred2_0),inference(sr,[status(thm)],[1156,219,theory(equality)])).
% cnf(1198,plain,(e0=e2|op(e2,e2)=e3|op(e2,e2)=e4|epred3_0|op(e2,e2)!=e2|~epred4_0),inference(rw,[status(thm)],[435,552,theory(equality)])).
% cnf(1199,plain,(op(e2,e2)=e3|op(e2,e2)=e4|epred3_0|op(e2,e2)!=e2|~epred4_0),inference(sr,[status(thm)],[1198,219,theory(equality)])).
% cnf(1200,plain,(op(e2,e2)=e4|epred3_0|op(e2,e2)!=e2|~epred4_0),inference(sr,[status(thm)],[1199,584,theory(equality)])).
% cnf(1201,plain,(epred3_0|op(e2,e2)!=e2|~epred4_0),inference(sr,[status(thm)],[1200,549,theory(equality)])).
% cnf(1202,plain,(epred3_0|~epred4_0),inference(csr,[status(thm)],[1201,970])).
% cnf(1305,plain,(e0=e1|op(e1,e1)=e2|epred1_0|op(e0,e4)!=e0|op(e1,e0)!=e1|~epred2_0),inference(rw,[status(thm)],[329,552,theory(equality)])).
% cnf(1306,plain,(e0=e1|e0=e2|epred1_0|op(e0,e4)!=e0|op(e1,e0)!=e1|~epred2_0),inference(rw,[status(thm)],[1305,552,theory(equality)])).
% cnf(1307,plain,(e2=e0|epred1_0|op(e0,e4)!=e0|op(e1,e0)!=e1|~epred2_0),inference(sr,[status(thm)],[1306,220,theory(equality)])).
% cnf(1308,plain,(epred1_0|op(e0,e4)!=e0|op(e1,e0)!=e1|~epred2_0),inference(sr,[status(thm)],[1307,219,theory(equality)])).
% cnf(1470,plain,(epred5_0|op(e4,e0)!=e4|$false),inference(rw,[status(thm)],[1067,630,theory(equality)])).
% cnf(1471,plain,(epred5_0|op(e4,e0)!=e4),inference(cn,[status(thm)],[1470,theory(equality)])).
% cnf(1472,plain,(op(e4,e4)=e0|epred5_0|$false),inference(rw,[status(thm)],[997,630,theory(equality)])).
% cnf(1473,plain,(op(e4,e4)=e0|epred5_0),inference(cn,[status(thm)],[1472,theory(equality)])).
% cnf(1478,plain,(epred1_0|op(e0,e4)!=e0|$false|~epred2_0),inference(rw,[status(thm)],[1308,562,theory(equality)])).
% cnf(1479,plain,(epred1_0|op(e0,e4)!=e0|~epred2_0),inference(cn,[status(thm)],[1478,theory(equality)])).
% cnf(1501,plain,(op(e0,e0)=e4|epred1_0|$false|~epred2_0),inference(rw,[status(thm)],[1157,562,theory(equality)])).
% cnf(1502,plain,(op(e0,e0)=e4|epred1_0|~epred2_0),inference(cn,[status(thm)],[1501,theory(equality)])).
% cnf(1509,plain,(e1!=op(e0,e0)),inference(rw,[status(thm)],[196,562,theory(equality)])).
% cnf(1553,negated_conjecture,(op(e4,e0)=e4|epred5_0),inference(spm,[status(thm)],[245,1473,theory(equality)])).
% cnf(1788,plain,(op(e0,e0)=e3|op(e0,e0)=e2|~epred1_0),inference(sr,[status(thm)],[858,1509,theory(equality)])).
% cnf(2113,plain,(op(e0,e0)=e2|op(e0,e3)!=e0|~epred1_0),inference(sr,[status(thm)],[881,1509,theory(equality)])).
% cnf(2114,plain,(op(e0,e0)=e3|op(e0,e2)!=e0|~epred1_0),inference(sr,[status(thm)],[884,1509,theory(equality)])).
% cnf(2192,negated_conjecture,(epred5_0),inference(csr,[status(thm)],[1553,1471])).
% cnf(2196,plain,(epred4_0|op(e3,e0)!=e3|$false),inference(rw,[status(thm)],[723,2192,theory(equality)])).
% cnf(2197,plain,(epred4_0|op(e3,e0)!=e3),inference(cn,[status(thm)],[2196,theory(equality)])).
% cnf(2198,plain,(op(e3,e3)=e0|epred4_0|$false),inference(rw,[status(thm)],[677,2192,theory(equality)])).
% cnf(2199,plain,(op(e3,e3)=e0|epred4_0),inference(cn,[status(thm)],[2198,theory(equality)])).
% cnf(2203,negated_conjecture,(op(e3,e0)=e3|epred4_0),inference(spm,[status(thm)],[250,2199,theory(equality)])).
% cnf(2223,negated_conjecture,(epred4_0),inference(csr,[status(thm)],[2203,2197])).
% cnf(2224,plain,(epred3_0|$false),inference(rw,[status(thm)],[1202,2223,theory(equality)])).
% cnf(2225,plain,(epred3_0),inference(cn,[status(thm)],[2224,theory(equality)])).
% cnf(2229,plain,(epred2_0|op(e2,e0)!=e2|$false),inference(rw,[status(thm)],[717,2225,theory(equality)])).
% cnf(2230,plain,(epred2_0|op(e2,e0)!=e2),inference(cn,[status(thm)],[2229,theory(equality)])).
% cnf(2231,plain,(op(e2,e2)=e0|epred2_0|$false),inference(rw,[status(thm)],[668,2225,theory(equality)])).
% cnf(2232,plain,(op(e2,e2)=e0|epred2_0),inference(cn,[status(thm)],[2231,theory(equality)])).
% cnf(2235,negated_conjecture,(op(e2,e0)=e2|epred2_0),inference(spm,[status(thm)],[255,2232,theory(equality)])).
% cnf(2251,negated_conjecture,(epred2_0),inference(csr,[status(thm)],[2235,2230])).
% cnf(2252,plain,(epred1_0|op(e0,e4)!=e0|$false),inference(rw,[status(thm)],[1479,2251,theory(equality)])).
% cnf(2253,plain,(epred1_0|op(e0,e4)!=e0),inference(cn,[status(thm)],[2252,theory(equality)])).
% cnf(2256,plain,(op(e0,e0)=e4|epred1_0|$false),inference(rw,[status(thm)],[1502,2251,theory(equality)])).
% cnf(2257,plain,(op(e0,e0)=e4|epred1_0),inference(cn,[status(thm)],[2256,theory(equality)])).
% cnf(2283,negated_conjecture,(op(e0,e4)=e0|epred1_0),inference(spm,[status(thm)],[261,2257,theory(equality)])).
% cnf(2297,negated_conjecture,(epred1_0),inference(csr,[status(thm)],[2283,2253])).
% cnf(2306,plain,(op(e0,e0)=e3|op(e0,e2)!=e0|$false),inference(rw,[status(thm)],[2114,2297,theory(equality)])).
% cnf(2307,plain,(op(e0,e0)=e3|op(e0,e2)!=e0),inference(cn,[status(thm)],[2306,theory(equality)])).
% cnf(2308,plain,(op(e0,e0)=e2|op(e0,e3)!=e0|$false),inference(rw,[status(thm)],[2113,2297,theory(equality)])).
% cnf(2309,plain,(op(e0,e0)=e2|op(e0,e3)!=e0),inference(cn,[status(thm)],[2308,theory(equality)])).
% cnf(2318,plain,(op(e0,e0)=e3|op(e0,e0)=e2|$false),inference(rw,[status(thm)],[1788,2297,theory(equality)])).
% cnf(2319,plain,(op(e0,e0)=e3|op(e0,e0)=e2),inference(cn,[status(thm)],[2318,theory(equality)])).
% cnf(2362,negated_conjecture,(op(e0,e3)=e0|op(e0,e0)=e2),inference(spm,[status(thm)],[262,2319,theory(equality)])).
% cnf(2382,negated_conjecture,(op(e0,e0)=e2),inference(csr,[status(thm)],[2362,2309])).
% cnf(2384,plain,(e2=e3|op(e0,e2)!=e0),inference(rw,[status(thm)],[2307,2382,theory(equality)])).
% cnf(2385,plain,(op(e0,e2)!=e0),inference(sr,[status(thm)],[2384,213,theory(equality)])).
% cnf(2419,negated_conjecture,(op(e0,e2)=e0|$false),inference(rw,[status(thm)],[263,2382,theory(equality)])).
% cnf(2420,negated_conjecture,(op(e0,e2)=e0),inference(cn,[status(thm)],[2419,theory(equality)])).
% cnf(2484,plain,($false),inference(rw,[status(thm)],[2385,2420,theory(equality)])).
% cnf(2485,plain,($false),inference(cn,[status(thm)],[2484,theory(equality)])).
% cnf(2486,plain,($false),2485,['proof']).
% # SZS output end CNFRefutation
% # Processed clauses : 873
% # ...of these trivial : 46
% # ...subsumed : 254
% # ...remaining for further processing: 573
% # Other redundant clauses eliminated : 0
% # Clauses deleted for lack of memory : 0
% # Backward-subsumed : 37
% # Backward-rewritten : 134
% # Generated clauses : 688
% # ...of the previous two non-trivial : 686
% # Contextual simplify-reflections : 351
% # Paramodulations : 611
% # Factorizations : 58
% # Equation resolutions : 0
% # Current number of processed clauses: 149
% # Positive orientable unit clauses: 24
% # Positive unorientable unit clauses: 0
% # Negative unit clauses : 80
% # Non-unit-clauses : 45
% # Current number of unprocessed clauses: 277
% # ...number of literals in the above : 907
% # Clause-clause subsumption calls (NU) : 1545
% # Rec. Clause-clause subsumption calls : 730
% # Unit Clause-clause subsumption calls : 330
% # Rewrite failures with RHS unbound : 0
% # Indexed BW rewrite attempts : 12
% # Indexed BW rewrite successes : 12
% # Backwards rewriting index: 48 leaves, 1.00+/-0.000 terms/leaf
% # Paramod-from index: 42 leaves, 1.00+/-0.000 terms/leaf
% # Paramod-into index: 47 leaves, 1.00+/-0.000 terms/leaf
% # -------------------------------------------------
% # User time : 0.089 s
% # System time : 0.005 s
% # Total time : 0.094 s
% # Maximum resident set size: 0 pages
% PrfWatch: 0.26 CPU 0.36 WC
% FINAL PrfWatch: 0.26 CPU 0.36 WC
% SZS output end Solution for /tmp/SystemOnTPTP4381/ALG067+1.tptp
%
%------------------------------------------------------------------------------