%------------------------------------------------------------------------------
% File     : SRASS---0.1
% Problem  : ALG170+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 : art04.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 21:00:15 EST 2010

% Result   : Theorem 1.73s
% Output   : Solution 1.73s
% 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/SystemOnTPTP1913/ALG170+1.tptp
% Adding relevance values
% Extracting the conjecture
% Sorting axioms by relevance
% Looking for THM       ... 
% found
% SZS status THM for /tmp/SystemOnTPTP1913/ALG170+1.tptp
% SZS output start Solution for /tmp/SystemOnTPTP1913/ALG170+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 2024
% TreeLimitedRun: ----------------------------------------------------------
% PrfWatch: 0.00 CPU 0.02 WC
% # Preprocessing time     : 0.023 s
% # Problem is unsatisfiable (or provable), constructing proof object
% # SZS status Theorem
% # SZS output start CNFRefutation.
% fof(1, axiom,((((((((((((((((((((((((((((op(e0,e0)=e0|op(e0,e0)=e1)|op(e0,e0)=e2)|op(e0,e0)=e3)|op(e0,e0)=e4)&((((op(e0,e1)=e0|op(e0,e1)=e1)|op(e0,e1)=e2)|op(e0,e1)=e3)|op(e0,e1)=e4))&((((op(e0,e2)=e0|op(e0,e2)=e1)|op(e0,e2)=e2)|op(e0,e2)=e3)|op(e0,e2)=e4))&((((op(e0,e3)=e0|op(e0,e3)=e1)|op(e0,e3)=e2)|op(e0,e3)=e3)|op(e0,e3)=e4))&((((op(e0,e4)=e0|op(e0,e4)=e1)|op(e0,e4)=e2)|op(e0,e4)=e3)|op(e0,e4)=e4))&((((op(e1,e0)=e0|op(e1,e0)=e1)|op(e1,e0)=e2)|op(e1,e0)=e3)|op(e1,e0)=e4))&((((op(e1,e1)=e0|op(e1,e1)=e1)|op(e1,e1)=e2)|op(e1,e1)=e3)|op(e1,e1)=e4))&((((op(e1,e2)=e0|op(e1,e2)=e1)|op(e1,e2)=e2)|op(e1,e2)=e3)|op(e1,e2)=e4))&((((op(e1,e3)=e0|op(e1,e3)=e1)|op(e1,e3)=e2)|op(e1,e3)=e3)|op(e1,e3)=e4))&((((op(e1,e4)=e0|op(e1,e4)=e1)|op(e1,e4)=e2)|op(e1,e4)=e3)|op(e1,e4)=e4))&((((op(e2,e0)=e0|op(e2,e0)=e1)|op(e2,e0)=e2)|op(e2,e0)=e3)|op(e2,e0)=e4))&((((op(e2,e1)=e0|op(e2,e1)=e1)|op(e2,e1)=e2)|op(e2,e1)=e3)|op(e2,e1)=e4))&((((op(e2,e2)=e0|op(e2,e2)=e1)|op(e2,e2)=e2)|op(e2,e2)=e3)|op(e2,e2)=e4))&((((op(e2,e3)=e0|op(e2,e3)=e1)|op(e2,e3)=e2)|op(e2,e3)=e3)|op(e2,e3)=e4))&((((op(e2,e4)=e0|op(e2,e4)=e1)|op(e2,e4)=e2)|op(e2,e4)=e3)|op(e2,e4)=e4))&((((op(e3,e0)=e0|op(e3,e0)=e1)|op(e3,e0)=e2)|op(e3,e0)=e3)|op(e3,e0)=e4))&((((op(e3,e1)=e0|op(e3,e1)=e1)|op(e3,e1)=e2)|op(e3,e1)=e3)|op(e3,e1)=e4))&((((op(e3,e2)=e0|op(e3,e2)=e1)|op(e3,e2)=e2)|op(e3,e2)=e3)|op(e3,e2)=e4))&((((op(e3,e3)=e0|op(e3,e3)=e1)|op(e3,e3)=e2)|op(e3,e3)=e3)|op(e3,e3)=e4))&((((op(e3,e4)=e0|op(e3,e4)=e1)|op(e3,e4)=e2)|op(e3,e4)=e3)|op(e3,e4)=e4))&((((op(e4,e0)=e0|op(e4,e0)=e1)|op(e4,e0)=e2)|op(e4,e0)=e3)|op(e4,e0)=e4))&((((op(e4,e1)=e0|op(e4,e1)=e1)|op(e4,e1)=e2)|op(e4,e1)=e3)|op(e4,e1)=e4))&((((op(e4,e2)=e0|op(e4,e2)=e1)|op(e4,e2)=e2)|op(e4,e2)=e3)|op(e4,e2)=e4))&((((op(e4,e3)=e0|op(e4,e3)=e1)|op(e4,e3)=e2)|op(e4,e3)=e3)|op(e4,e3)=e4))&((((op(e4,e4)=e0|op(e4,e4)=e1)|op(e4,e4)=e2)|op(e4,e4)=e3)|op(e4,e4)=e4)),file('/tmp/SRASS.s.p', ax1)).
% fof(2, axiom,(((((((((((((((((((((((((((((((((((((((((((((((((((((op(e0,e0)=e0|op(e0,e1)=e0)|op(e0,e2)=e0)|op(e0,e3)=e0)|op(e0,e4)=e0)&((((op(e0,e0)=e0|op(e1,e0)=e0)|op(e2,e0)=e0)|op(e3,e0)=e0)|op(e4,e0)=e0))&((((op(e0,e0)=e1|op(e0,e1)=e1)|op(e0,e2)=e1)|op(e0,e3)=e1)|op(e0,e4)=e1))&((((op(e0,e0)=e1|op(e1,e0)=e1)|op(e2,e0)=e1)|op(e3,e0)=e1)|op(e4,e0)=e1))&((((op(e0,e0)=e2|op(e0,e1)=e2)|op(e0,e2)=e2)|op(e0,e3)=e2)|op(e0,e4)=e2))&((((op(e0,e0)=e2|op(e1,e0)=e2)|op(e2,e0)=e2)|op(e3,e0)=e2)|op(e4,e0)=e2))&((((op(e0,e0)=e3|op(e0,e1)=e3)|op(e0,e2)=e3)|op(e0,e3)=e3)|op(e0,e4)=e3))&((((op(e0,e0)=e3|op(e1,e0)=e3)|op(e2,e0)=e3)|op(e3,e0)=e3)|op(e4,e0)=e3))&((((op(e0,e0)=e4|op(e0,e1)=e4)|op(e0,e2)=e4)|op(e0,e3)=e4)|op(e0,e4)=e4))&((((op(e0,e0)=e4|op(e1,e0)=e4)|op(e2,e0)=e4)|op(e3,e0)=e4)|op(e4,e0)=e4))&((((op(e1,e0)=e0|op(e1,e1)=e0)|op(e1,e2)=e0)|op(e1,e3)=e0)|op(e1,e4)=e0))&((((op(e0,e1)=e0|op(e1,e1)=e0)|op(e2,e1)=e0)|op(e3,e1)=e0)|op(e4,e1)=e0))&((((op(e1,e0)=e1|op(e1,e1)=e1)|op(e1,e2)=e1)|op(e1,e3)=e1)|op(e1,e4)=e1))&((((op(e0,e1)=e1|op(e1,e1)=e1)|op(e2,e1)=e1)|op(e3,e1)=e1)|op(e4,e1)=e1))&((((op(e1,e0)=e2|op(e1,e1)=e2)|op(e1,e2)=e2)|op(e1,e3)=e2)|op(e1,e4)=e2))&((((op(e0,e1)=e2|op(e1,e1)=e2)|op(e2,e1)=e2)|op(e3,e1)=e2)|op(e4,e1)=e2))&((((op(e1,e0)=e3|op(e1,e1)=e3)|op(e1,e2)=e3)|op(e1,e3)=e3)|op(e1,e4)=e3))&((((op(e0,e1)=e3|op(e1,e1)=e3)|op(e2,e1)=e3)|op(e3,e1)=e3)|op(e4,e1)=e3))&((((op(e1,e0)=e4|op(e1,e1)=e4)|op(e1,e2)=e4)|op(e1,e3)=e4)|op(e1,e4)=e4))&((((op(e0,e1)=e4|op(e1,e1)=e4)|op(e2,e1)=e4)|op(e3,e1)=e4)|op(e4,e1)=e4))&((((op(e2,e0)=e0|op(e2,e1)=e0)|op(e2,e2)=e0)|op(e2,e3)=e0)|op(e2,e4)=e0))&((((op(e0,e2)=e0|op(e1,e2)=e0)|op(e2,e2)=e0)|op(e3,e2)=e0)|op(e4,e2)=e0))&((((op(e2,e0)=e1|op(e2,e1)=e1)|op(e2,e2)=e1)|op(e2,e3)=e1)|op(e2,e4)=e1))&((((op(e0,e2)=e1|op(e1,e2)=e1)|op(e2,e2)=e1)|op(e3,e2)=e1)|op(e4,e2)=e1))&((((op(e2,e0)=e2|op(e2,e1)=e2)|op(e2,e2)=e2)|op(e2,e3)=e2)|op(e2,e4)=e2))&((((op(e0,e2)=e2|op(e1,e2)=e2)|op(e2,e2)=e2)|op(e3,e2)=e2)|op(e4,e2)=e2))&((((op(e2,e0)=e3|op(e2,e1)=e3)|op(e2,e2)=e3)|op(e2,e3)=e3)|op(e2,e4)=e3))&((((op(e0,e2)=e3|op(e1,e2)=e3)|op(e2,e2)=e3)|op(e3,e2)=e3)|op(e4,e2)=e3))&((((op(e2,e0)=e4|op(e2,e1)=e4)|op(e2,e2)=e4)|op(e2,e3)=e4)|op(e2,e4)=e4))&((((op(e0,e2)=e4|op(e1,e2)=e4)|op(e2,e2)=e4)|op(e3,e2)=e4)|op(e4,e2)=e4))&((((op(e3,e0)=e0|op(e3,e1)=e0)|op(e3,e2)=e0)|op(e3,e3)=e0)|op(e3,e4)=e0))&((((op(e0,e3)=e0|op(e1,e3)=e0)|op(e2,e3)=e0)|op(e3,e3)=e0)|op(e4,e3)=e0))&((((op(e3,e0)=e1|op(e3,e1)=e1)|op(e3,e2)=e1)|op(e3,e3)=e1)|op(e3,e4)=e1))&((((op(e0,e3)=e1|op(e1,e3)=e1)|op(e2,e3)=e1)|op(e3,e3)=e1)|op(e4,e3)=e1))&((((op(e3,e0)=e2|op(e3,e1)=e2)|op(e3,e2)=e2)|op(e3,e3)=e2)|op(e3,e4)=e2))&((((op(e0,e3)=e2|op(e1,e3)=e2)|op(e2,e3)=e2)|op(e3,e3)=e2)|op(e4,e3)=e2))&((((op(e3,e0)=e3|op(e3,e1)=e3)|op(e3,e2)=e3)|op(e3,e3)=e3)|op(e3,e4)=e3))&((((op(e0,e3)=e3|op(e1,e3)=e3)|op(e2,e3)=e3)|op(e3,e3)=e3)|op(e4,e3)=e3))&((((op(e3,e0)=e4|op(e3,e1)=e4)|op(e3,e2)=e4)|op(e3,e3)=e4)|op(e3,e4)=e4))&((((op(e0,e3)=e4|op(e1,e3)=e4)|op(e2,e3)=e4)|op(e3,e3)=e4)|op(e4,e3)=e4))&((((op(e4,e0)=e0|op(e4,e1)=e0)|op(e4,e2)=e0)|op(e4,e3)=e0)|op(e4,e4)=e0))&((((op(e0,e4)=e0|op(e1,e4)=e0)|op(e2,e4)=e0)|op(e3,e4)=e0)|op(e4,e4)=e0))&((((op(e4,e0)=e1|op(e4,e1)=e1)|op(e4,e2)=e1)|op(e4,e3)=e1)|op(e4,e4)=e1))&((((op(e0,e4)=e1|op(e1,e4)=e1)|op(e2,e4)=e1)|op(e3,e4)=e1)|op(e4,e4)=e1))&((((op(e4,e0)=e2|op(e4,e1)=e2)|op(e4,e2)=e2)|op(e4,e3)=e2)|op(e4,e4)=e2))&((((op(e0,e4)=e2|op(e1,e4)=e2)|op(e2,e4)=e2)|op(e3,e4)=e2)|op(e4,e4)=e2))&((((op(e4,e0)=e3|op(e4,e1)=e3)|op(e4,e2)=e3)|op(e4,e3)=e3)|op(e4,e4)=e3))&((((op(e0,e4)=e3|op(e1,e4)=e3)|op(e2,e4)=e3)|op(e3,e4)=e3)|op(e4,e4)=e3))&((((op(e4,e0)=e4|op(e4,e1)=e4)|op(e4,e2)=e4)|op(e4,e3)=e4)|op(e4,e4)=e4))&((((op(e0,e4)=e4|op(e1,e4)=e4)|op(e2,e4)=e4)|op(e3,e4)=e4)|op(e4,e4)=e4)),file('/tmp/SRASS.s.p', ax2)).
% fof(3, axiom,((((((((((((((((((((((((op(op(e0,e0),op(e0,e0))=e0&op(op(e1,e0),op(e0,e1))=e0)&op(op(e2,e0),op(e0,e2))=e0)&op(op(e3,e0),op(e0,e3))=e0)&op(op(e4,e0),op(e0,e4))=e0)&op(op(e0,e1),op(e1,e0))=e1)&op(op(e1,e1),op(e1,e1))=e1)&op(op(e2,e1),op(e1,e2))=e1)&op(op(e3,e1),op(e1,e3))=e1)&op(op(e4,e1),op(e1,e4))=e1)&op(op(e0,e2),op(e2,e0))=e2)&op(op(e1,e2),op(e2,e1))=e2)&op(op(e2,e2),op(e2,e2))=e2)&op(op(e3,e2),op(e2,e3))=e2)&op(op(e4,e2),op(e2,e4))=e2)&op(op(e0,e3),op(e3,e0))=e3)&op(op(e1,e3),op(e3,e1))=e3)&op(op(e2,e3),op(e3,e2))=e3)&op(op(e3,e3),op(e3,e3))=e3)&op(op(e4,e3),op(e3,e4))=e3)&op(op(e0,e4),op(e4,e0))=e4)&op(op(e1,e4),op(e4,e1))=e4)&op(op(e2,e4),op(e4,e2))=e4)&op(op(e3,e4),op(e4,e3))=e4)&op(op(e4,e4),op(e4,e4))=e4),file('/tmp/SRASS.s.p', ax3)).
% fof(4, 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(5, axiom,(((e0=op(e4,op(e4,e4))&e1=op(e4,e4))&e2=op(op(e4,op(e4,e4)),op(e4,e4)))&e3=op(op(e4,op(e4,e4)),op(e4,op(e4,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(e1,e0)=e1))&~(op(e2,e0)=e2))&~(op(e3,e0)=e3))&~(op(e4,e0)=e4))|((((~(op(e0,e1)=e0)&~(op(e1,e1)=e1))&~(op(e2,e1)=e2))&~(op(e3,e1)=e3))&~(op(e4,e1)=e4)))|((((~(op(e0,e2)=e0)&~(op(e1,e2)=e1))&~(op(e2,e2)=e2))&~(op(e3,e2)=e3))&~(op(e4,e2)=e4)))|((((~(op(e0,e3)=e0)&~(op(e1,e3)=e1))&~(op(e2,e3)=e2))&~(op(e3,e3)=e3))&~(op(e4,e3)=e4)))|((((~(op(e0,e4)=e0)&~(op(e1,e4)=e1))&~(op(e2,e4)=e2))&~(op(e3,e4)=e3))&~(op(e4,e4)=e4)))&((((((((~(op(e0,e0)=e0)&~(op(e0,e1)=e1))&~(op(e0,e2)=e2))&~(op(e0,e3)=e3))&~(op(e0,e4)=e4))|((((~(op(e1,e0)=e0)&~(op(e1,e1)=e1))&~(op(e1,e2)=e2))&~(op(e1,e3)=e3))&~(op(e1,e4)=e4)))|((((~(op(e2,e0)=e0)&~(op(e2,e1)=e1))&~(op(e2,e2)=e2))&~(op(e2,e3)=e3))&~(op(e2,e4)=e4)))|((((~(op(e3,e0)=e0)&~(op(e3,e1)=e1))&~(op(e3,e2)=e2))&~(op(e3,e3)=e3))&~(op(e3,e4)=e4)))|((((~(op(e4,e0)=e0)&~(op(e4,e1)=e1))&~(op(e4,e2)=e2))&~(op(e4,e3)=e3))&~(op(e4,e4)=e4))))),file('/tmp/SRASS.s.p', co1)).
% fof(8, negated_conjecture,~(~((((((((((~(op(e0,e0)=e0)&~(op(e1,e0)=e1))&~(op(e2,e0)=e2))&~(op(e3,e0)=e3))&~(op(e4,e0)=e4))|((((~(op(e0,e1)=e0)&~(op(e1,e1)=e1))&~(op(e2,e1)=e2))&~(op(e3,e1)=e3))&~(op(e4,e1)=e4)))|((((~(op(e0,e2)=e0)&~(op(e1,e2)=e1))&~(op(e2,e2)=e2))&~(op(e3,e2)=e3))&~(op(e4,e2)=e4)))|((((~(op(e0,e3)=e0)&~(op(e1,e3)=e1))&~(op(e2,e3)=e2))&~(op(e3,e3)=e3))&~(op(e4,e3)=e4)))|((((~(op(e0,e4)=e0)&~(op(e1,e4)=e1))&~(op(e2,e4)=e2))&~(op(e3,e4)=e3))&~(op(e4,e4)=e4)))&((((((((~(op(e0,e0)=e0)&~(op(e0,e1)=e1))&~(op(e0,e2)=e2))&~(op(e0,e3)=e3))&~(op(e0,e4)=e4))|((((~(op(e1,e0)=e0)&~(op(e1,e1)=e1))&~(op(e1,e2)=e2))&~(op(e1,e3)=e3))&~(op(e1,e4)=e4)))|((((~(op(e2,e0)=e0)&~(op(e2,e1)=e1))&~(op(e2,e2)=e2))&~(op(e2,e3)=e3))&~(op(e2,e4)=e4)))|((((~(op(e3,e0)=e0)&~(op(e3,e1)=e1))&~(op(e3,e2)=e2))&~(op(e3,e3)=e3))&~(op(e3,e4)=e4)))|((((~(op(e4,e0)=e0)&~(op(e4,e1)=e1))&~(op(e4,e2)=e2))&~(op(e4,e3)=e3))&~(op(e4,e4)=e4)))))),inference(assume_negation,[status(cth)],[7])).
% fof(9, plain,(epred1_0=>(((((~(op(e0,e0)=e0)&~(op(e1,e0)=e1))&~(op(e2,e0)=e2))&~(op(e3,e0)=e3))&~(op(e4,e0)=e4))|((((~(op(e0,e1)=e0)&~(op(e1,e1)=e1))&~(op(e2,e1)=e2))&~(op(e3,e1)=e3))&~(op(e4,e1)=e4)))),introduced(definition)).
% fof(10, plain,(epred2_0=>(((((((~(op(e0,e0)=e0)&~(op(e1,e0)=e1))&~(op(e2,e0)=e2))&~(op(e3,e0)=e3))&~(op(e4,e0)=e4))|((((~(op(e0,e1)=e0)&~(op(e1,e1)=e1))&~(op(e2,e1)=e2))&~(op(e3,e1)=e3))&~(op(e4,e1)=e4)))|((((~(op(e0,e2)=e0)&~(op(e1,e2)=e1))&~(op(e2,e2)=e2))&~(op(e3,e2)=e3))&~(op(e4,e2)=e4)))|((((~(op(e0,e3)=e0)&~(op(e1,e3)=e1))&~(op(e2,e3)=e2))&~(op(e3,e3)=e3))&~(op(e4,e3)=e4)))),introduced(definition)).
% fof(11, plain,(epred3_0=>(((((~(op(e0,e0)=e0)&~(op(e0,e1)=e1))&~(op(e0,e2)=e2))&~(op(e0,e3)=e3))&~(op(e0,e4)=e4))|((((~(op(e1,e0)=e0)&~(op(e1,e1)=e1))&~(op(e1,e2)=e2))&~(op(e1,e3)=e3))&~(op(e1,e4)=e4)))),introduced(definition)).
% fof(12, plain,(epred4_0=>(((((((~(op(e0,e0)=e0)&~(op(e0,e1)=e1))&~(op(e0,e2)=e2))&~(op(e0,e3)=e3))&~(op(e0,e4)=e4))|((((~(op(e1,e0)=e0)&~(op(e1,e1)=e1))&~(op(e1,e2)=e2))&~(op(e1,e3)=e3))&~(op(e1,e4)=e4)))|((((~(op(e2,e0)=e0)&~(op(e2,e1)=e1))&~(op(e2,e2)=e2))&~(op(e2,e3)=e3))&~(op(e2,e4)=e4)))|((((~(op(e3,e0)=e0)&~(op(e3,e1)=e1))&~(op(e3,e2)=e2))&~(op(e3,e3)=e3))&~(op(e3,e4)=e4)))),introduced(definition)).
% fof(13, negated_conjecture,~(~(((epred2_0|((((~(op(e0,e4)=e0)&~(op(e1,e4)=e1))&~(op(e2,e4)=e2))&~(op(e3,e4)=e3))&~(op(e4,e4)=e4)))&(epred4_0|((((~(op(e4,e0)=e0)&~(op(e4,e1)=e1))&~(op(e4,e2)=e2))&~(op(e4,e3)=e3))&~(op(e4,e4)=e4)))))),inference(apply_def,[status(esa)],[inference(apply_def,[status(esa)],[8,10,theory(equality)]),12,theory(equality)])).
% fof(14, plain,(epred2_0=>((epred1_0|((((~(op(e0,e2)=e0)&~(op(e1,e2)=e1))&~(op(e2,e2)=e2))&~(op(e3,e2)=e3))&~(op(e4,e2)=e4)))|((((~(op(e0,e3)=e0)&~(op(e1,e3)=e1))&~(op(e2,e3)=e2))&~(op(e3,e3)=e3))&~(op(e4,e3)=e4)))),inference(apply_def,[status(esa)],[10,9,theory(equality)])).
% fof(15, plain,(epred4_0=>((epred3_0|((((~(op(e2,e0)=e0)&~(op(e2,e1)=e1))&~(op(e2,e2)=e2))&~(op(e2,e3)=e3))&~(op(e2,e4)=e4)))|((((~(op(e3,e0)=e0)&~(op(e3,e1)=e1))&~(op(e3,e2)=e2))&~(op(e3,e3)=e3))&~(op(e3,e4)=e4)))),inference(apply_def,[status(esa)],[12,11,theory(equality)])).
% cnf(18,plain,(op(e4,e2)=e4|op(e4,e2)=e3|op(e4,e2)=e2|op(e4,e2)=e1|op(e4,e2)=e0),inference(split_conjunct,[status(thm)],[1])).
% cnf(20,plain,(op(e4,e0)=e4|op(e4,e0)=e3|op(e4,e0)=e2|op(e4,e0)=e1|op(e4,e0)=e0),inference(split_conjunct,[status(thm)],[1])).
% cnf(21,plain,(op(e3,e4)=e4|op(e3,e4)=e3|op(e3,e4)=e2|op(e3,e4)=e1|op(e3,e4)=e0),inference(split_conjunct,[status(thm)],[1])).
% cnf(24,plain,(op(e3,e1)=e4|op(e3,e1)=e3|op(e3,e1)=e2|op(e3,e1)=e1|op(e3,e1)=e0),inference(split_conjunct,[status(thm)],[1])).
% cnf(29,plain,(op(e2,e1)=e4|op(e2,e1)=e3|op(e2,e1)=e2|op(e2,e1)=e1|op(e2,e1)=e0),inference(split_conjunct,[status(thm)],[1])).
% cnf(31,plain,(op(e1,e4)=e4|op(e1,e4)=e3|op(e1,e4)=e2|op(e1,e4)=e1|op(e1,e4)=e0),inference(split_conjunct,[status(thm)],[1])).
% cnf(32,plain,(op(e1,e3)=e4|op(e1,e3)=e3|op(e1,e3)=e2|op(e1,e3)=e1|op(e1,e3)=e0),inference(split_conjunct,[status(thm)],[1])).
% cnf(36,plain,(op(e0,e4)=e4|op(e0,e4)=e3|op(e0,e4)=e2|op(e0,e4)=e1|op(e0,e4)=e0),inference(split_conjunct,[status(thm)],[1])).
% cnf(37,plain,(op(e0,e3)=e4|op(e0,e3)=e3|op(e0,e3)=e2|op(e0,e3)=e1|op(e0,e3)=e0),inference(split_conjunct,[status(thm)],[1])).
% cnf(41,plain,(op(e4,e4)=e4|op(e3,e4)=e4|op(e2,e4)=e4|op(e1,e4)=e4|op(e0,e4)=e4),inference(split_conjunct,[status(thm)],[2])).
% cnf(42,plain,(op(e4,e4)=e4|op(e4,e3)=e4|op(e4,e2)=e4|op(e4,e1)=e4|op(e4,e0)=e4),inference(split_conjunct,[status(thm)],[2])).
% cnf(43,plain,(op(e4,e4)=e3|op(e3,e4)=e3|op(e2,e4)=e3|op(e1,e4)=e3|op(e0,e4)=e3),inference(split_conjunct,[status(thm)],[2])).
% cnf(44,plain,(op(e4,e4)=e3|op(e4,e3)=e3|op(e4,e2)=e3|op(e4,e1)=e3|op(e4,e0)=e3),inference(split_conjunct,[status(thm)],[2])).
% cnf(51,plain,(op(e4,e3)=e4|op(e3,e3)=e4|op(e2,e3)=e4|op(e1,e3)=e4|op(e0,e3)=e4),inference(split_conjunct,[status(thm)],[2])).
% cnf(53,plain,(op(e4,e3)=e3|op(e3,e3)=e3|op(e2,e3)=e3|op(e1,e3)=e3|op(e0,e3)=e3),inference(split_conjunct,[status(thm)],[2])).
% cnf(54,plain,(op(e3,e4)=e3|op(e3,e3)=e3|op(e3,e2)=e3|op(e3,e1)=e3|op(e3,e0)=e3),inference(split_conjunct,[status(thm)],[2])).
% cnf(63,plain,(op(e4,e2)=e3|op(e3,e2)=e3|op(e2,e2)=e3|op(e1,e2)=e3|op(e0,e2)=e3),inference(split_conjunct,[status(thm)],[2])).
% cnf(66,plain,(op(e2,e4)=e2|op(e2,e3)=e2|op(e2,e2)=e2|op(e2,e1)=e2|op(e2,e0)=e2),inference(split_conjunct,[status(thm)],[2])).
% cnf(73,plain,(op(e4,e1)=e3|op(e3,e1)=e3|op(e2,e1)=e3|op(e1,e1)=e3|op(e0,e1)=e3),inference(split_conjunct,[status(thm)],[2])).
% cnf(77,plain,(op(e4,e1)=e1|op(e3,e1)=e1|op(e2,e1)=e1|op(e1,e1)=e1|op(e0,e1)=e1),inference(split_conjunct,[status(thm)],[2])).
% cnf(78,plain,(op(e1,e4)=e1|op(e1,e3)=e1|op(e1,e2)=e1|op(e1,e1)=e1|op(e1,e0)=e1),inference(split_conjunct,[status(thm)],[2])).
% cnf(80,plain,(op(e1,e4)=e0|op(e1,e3)=e0|op(e1,e2)=e0|op(e1,e1)=e0|op(e1,e0)=e0),inference(split_conjunct,[status(thm)],[2])).
% cnf(81,plain,(op(e4,e0)=e4|op(e3,e0)=e4|op(e2,e0)=e4|op(e1,e0)=e4|op(e0,e0)=e4),inference(split_conjunct,[status(thm)],[2])).
% cnf(90,plain,(op(e0,e4)=e0|op(e0,e3)=e0|op(e0,e2)=e0|op(e0,e1)=e0|op(e0,e0)=e0),inference(split_conjunct,[status(thm)],[2])).
% cnf(91,plain,(op(op(e4,e4),op(e4,e4))=e4),inference(split_conjunct,[status(thm)],[3])).
% cnf(92,plain,(op(op(e3,e4),op(e4,e3))=e4),inference(split_conjunct,[status(thm)],[3])).
% cnf(93,plain,(op(op(e2,e4),op(e4,e2))=e4),inference(split_conjunct,[status(thm)],[3])).
% cnf(94,plain,(op(op(e1,e4),op(e4,e1))=e4),inference(split_conjunct,[status(thm)],[3])).
% cnf(95,plain,(op(op(e0,e4),op(e4,e0))=e4),inference(split_conjunct,[status(thm)],[3])).
% cnf(98,plain,(op(op(e2,e3),op(e3,e2))=e3),inference(split_conjunct,[status(thm)],[3])).
% cnf(99,plain,(op(op(e1,e3),op(e3,e1))=e3),inference(split_conjunct,[status(thm)],[3])).
% cnf(100,plain,(op(op(e0,e3),op(e3,e0))=e3),inference(split_conjunct,[status(thm)],[3])).
% cnf(104,plain,(op(op(e1,e2),op(e2,e1))=e2),inference(split_conjunct,[status(thm)],[3])).
% cnf(105,plain,(op(op(e0,e2),op(e2,e0))=e2),inference(split_conjunct,[status(thm)],[3])).
% cnf(107,plain,(op(op(e3,e1),op(e1,e3))=e1),inference(split_conjunct,[status(thm)],[3])).
% cnf(110,plain,(op(op(e0,e1),op(e1,e0))=e1),inference(split_conjunct,[status(thm)],[3])).
% cnf(111,plain,(op(op(e4,e0),op(e0,e4))=e0),inference(split_conjunct,[status(thm)],[3])).
% cnf(115,plain,(op(op(e0,e0),op(e0,e0))=e0),inference(split_conjunct,[status(thm)],[3])).
% cnf(117,plain,(op(e4,e2)!=op(e4,e4)),inference(split_conjunct,[status(thm)],[4])).
% cnf(118,plain,(op(e4,e2)!=op(e4,e3)),inference(split_conjunct,[status(thm)],[4])).
% cnf(121,plain,(op(e4,e1)!=op(e4,e2)),inference(split_conjunct,[status(thm)],[4])).
% cnf(122,plain,(op(e4,e0)!=op(e4,e4)),inference(split_conjunct,[status(thm)],[4])).
% cnf(124,plain,(op(e4,e0)!=op(e4,e2)),inference(split_conjunct,[status(thm)],[4])).
% cnf(125,plain,(op(e4,e0)!=op(e4,e1)),inference(split_conjunct,[status(thm)],[4])).
% cnf(126,plain,(op(e3,e3)!=op(e3,e4)),inference(split_conjunct,[status(thm)],[4])).
% cnf(131,plain,(op(e3,e1)!=op(e3,e2)),inference(split_conjunct,[status(thm)],[4])).
% cnf(132,plain,(op(e3,e0)!=op(e3,e4)),inference(split_conjunct,[status(thm)],[4])).
% cnf(136,plain,(op(e2,e3)!=op(e2,e4)),inference(split_conjunct,[status(thm)],[4])).
% cnf(143,plain,(op(e2,e0)!=op(e2,e3)),inference(split_conjunct,[status(thm)],[4])).
% cnf(145,plain,(op(e2,e0)!=op(e2,e1)),inference(split_conjunct,[status(thm)],[4])).
% cnf(146,plain,(op(e1,e3)!=op(e1,e4)),inference(split_conjunct,[status(thm)],[4])).
% cnf(147,plain,(op(e1,e2)!=op(e1,e4)),inference(split_conjunct,[status(thm)],[4])).
% cnf(149,plain,(op(e1,e1)!=op(e1,e4)),inference(split_conjunct,[status(thm)],[4])).
% cnf(150,plain,(op(e1,e1)!=op(e1,e3)),inference(split_conjunct,[status(thm)],[4])).
% cnf(155,plain,(op(e1,e0)!=op(e1,e1)),inference(split_conjunct,[status(thm)],[4])).
% cnf(156,plain,(op(e0,e3)!=op(e0,e4)),inference(split_conjunct,[status(thm)],[4])).
% cnf(157,plain,(op(e0,e2)!=op(e0,e4)),inference(split_conjunct,[status(thm)],[4])).
% cnf(158,plain,(op(e0,e2)!=op(e0,e3)),inference(split_conjunct,[status(thm)],[4])).
% cnf(159,plain,(op(e0,e1)!=op(e0,e4)),inference(split_conjunct,[status(thm)],[4])).
% cnf(160,plain,(op(e0,e1)!=op(e0,e3)),inference(split_conjunct,[status(thm)],[4])).
% cnf(162,plain,(op(e0,e0)!=op(e0,e4)),inference(split_conjunct,[status(thm)],[4])).
% cnf(163,plain,(op(e0,e0)!=op(e0,e3)),inference(split_conjunct,[status(thm)],[4])).
% cnf(164,plain,(op(e0,e0)!=op(e0,e2)),inference(split_conjunct,[status(thm)],[4])).
% cnf(166,plain,(op(e3,e4)!=op(e4,e4)),inference(split_conjunct,[status(thm)],[4])).
% cnf(168,plain,(op(e2,e4)!=op(e3,e4)),inference(split_conjunct,[status(thm)],[4])).
% cnf(169,plain,(op(e1,e4)!=op(e4,e4)),inference(split_conjunct,[status(thm)],[4])).
% cnf(170,plain,(op(e1,e4)!=op(e3,e4)),inference(split_conjunct,[status(thm)],[4])).
% cnf(172,plain,(op(e0,e4)!=op(e4,e4)),inference(split_conjunct,[status(thm)],[4])).
% cnf(174,plain,(op(e0,e4)!=op(e2,e4)),inference(split_conjunct,[status(thm)],[4])).
% cnf(175,plain,(op(e0,e4)!=op(e1,e4)),inference(split_conjunct,[status(thm)],[4])).
% cnf(177,plain,(op(e2,e3)!=op(e4,e3)),inference(split_conjunct,[status(thm)],[4])).
% cnf(180,plain,(op(e1,e3)!=op(e3,e3)),inference(split_conjunct,[status(thm)],[4])).
% cnf(181,plain,(op(e1,e3)!=op(e2,e3)),inference(split_conjunct,[status(thm)],[4])).
% cnf(183,plain,(op(e0,e3)!=op(e3,e3)),inference(split_conjunct,[status(thm)],[4])).
% cnf(185,plain,(op(e0,e3)!=op(e1,e3)),inference(split_conjunct,[status(thm)],[4])).
% cnf(186,plain,(op(e3,e2)!=op(e4,e2)),inference(split_conjunct,[status(thm)],[4])).
% cnf(190,plain,(op(e1,e2)!=op(e3,e2)),inference(split_conjunct,[status(thm)],[4])).
% cnf(195,plain,(op(e0,e2)!=op(e1,e2)),inference(split_conjunct,[status(thm)],[4])).
% cnf(196,plain,(op(e3,e1)!=op(e4,e1)),inference(split_conjunct,[status(thm)],[4])).
% cnf(197,plain,(op(e2,e1)!=op(e4,e1)),inference(split_conjunct,[status(thm)],[4])).
% cnf(198,plain,(op(e2,e1)!=op(e3,e1)),inference(split_conjunct,[status(thm)],[4])).
% cnf(200,plain,(op(e1,e1)!=op(e3,e1)),inference(split_conjunct,[status(thm)],[4])).
% cnf(201,plain,(op(e1,e1)!=op(e2,e1)),inference(split_conjunct,[status(thm)],[4])).
% cnf(203,plain,(op(e0,e1)!=op(e3,e1)),inference(split_conjunct,[status(thm)],[4])).
% cnf(204,plain,(op(e0,e1)!=op(e2,e1)),inference(split_conjunct,[status(thm)],[4])).
% cnf(206,plain,(op(e3,e0)!=op(e4,e0)),inference(split_conjunct,[status(thm)],[4])).
% cnf(207,plain,(op(e2,e0)!=op(e4,e0)),inference(split_conjunct,[status(thm)],[4])).
% cnf(212,plain,(op(e0,e0)!=op(e4,e0)),inference(split_conjunct,[status(thm)],[4])).
% cnf(213,plain,(op(e0,e0)!=op(e3,e0)),inference(split_conjunct,[status(thm)],[4])).
% cnf(216,plain,(e3=op(op(e4,op(e4,e4)),op(e4,op(e4,e4)))),inference(split_conjunct,[status(thm)],[5])).
% cnf(217,plain,(e2=op(op(e4,op(e4,e4)),op(e4,e4))),inference(split_conjunct,[status(thm)],[5])).
% cnf(218,plain,(e1=op(e4,e4)),inference(split_conjunct,[status(thm)],[5])).
% cnf(219,plain,(e0=op(e4,op(e4,e4))),inference(split_conjunct,[status(thm)],[5])).
% cnf(220,plain,(e3!=e4),inference(split_conjunct,[status(thm)],[6])).
% cnf(221,plain,(e2!=e4),inference(split_conjunct,[status(thm)],[6])).
% cnf(222,plain,(e2!=e3),inference(split_conjunct,[status(thm)],[6])).
% cnf(223,plain,(e1!=e4),inference(split_conjunct,[status(thm)],[6])).
% cnf(224,plain,(e1!=e3),inference(split_conjunct,[status(thm)],[6])).
% cnf(225,plain,(e1!=e2),inference(split_conjunct,[status(thm)],[6])).
% cnf(226,plain,(e0!=e4),inference(split_conjunct,[status(thm)],[6])).
% cnf(227,plain,(e0!=e3),inference(split_conjunct,[status(thm)],[6])).
% cnf(228,plain,(e0!=e2),inference(split_conjunct,[status(thm)],[6])).
% cnf(229,plain,(e0!=e1),inference(split_conjunct,[status(thm)],[6])).
% fof(230, negated_conjecture,((epred2_0|((((~(op(e0,e4)=e0)&~(op(e1,e4)=e1))&~(op(e2,e4)=e2))&~(op(e3,e4)=e3))&~(op(e4,e4)=e4)))&(epred4_0|((((~(op(e4,e0)=e0)&~(op(e4,e1)=e1))&~(op(e4,e2)=e2))&~(op(e4,e3)=e3))&~(op(e4,e4)=e4)))),inference(fof_nnf,[status(thm)],[13])).
% fof(231, negated_conjecture,((((((~(op(e0,e4)=e0)|epred2_0)&(~(op(e1,e4)=e1)|epred2_0))&(~(op(e2,e4)=e2)|epred2_0))&(~(op(e3,e4)=e3)|epred2_0))&(~(op(e4,e4)=e4)|epred2_0))&(((((~(op(e4,e0)=e0)|epred4_0)&(~(op(e4,e1)=e1)|epred4_0))&(~(op(e4,e2)=e2)|epred4_0))&(~(op(e4,e3)=e3)|epred4_0))&(~(op(e4,e4)=e4)|epred4_0))),inference(distribute,[status(thm)],[230])).
% cnf(233,negated_conjecture,(epred4_0|op(e4,e3)!=e3),inference(split_conjunct,[status(thm)],[231])).
% cnf(238,negated_conjecture,(epred2_0|op(e3,e4)!=e3),inference(split_conjunct,[status(thm)],[231])).
% cnf(241,negated_conjecture,(epred2_0|op(e0,e4)!=e0),inference(split_conjunct,[status(thm)],[231])).
% fof(242, plain,(~(epred1_0)|(((((~(op(e0,e0)=e0)&~(op(e1,e0)=e1))&~(op(e2,e0)=e2))&~(op(e3,e0)=e3))&~(op(e4,e0)=e4))|((((~(op(e0,e1)=e0)&~(op(e1,e1)=e1))&~(op(e2,e1)=e2))&~(op(e3,e1)=e3))&~(op(e4,e1)=e4)))),inference(fof_nnf,[status(thm)],[9])).
% fof(243, plain,((((((((((~(op(e0,e1)=e0)|~(op(e0,e0)=e0))|~(epred1_0))&((~(op(e1,e1)=e1)|~(op(e0,e0)=e0))|~(epred1_0)))&((~(op(e2,e1)=e2)|~(op(e0,e0)=e0))|~(epred1_0)))&((~(op(e3,e1)=e3)|~(op(e0,e0)=e0))|~(epred1_0)))&((~(op(e4,e1)=e4)|~(op(e0,e0)=e0))|~(epred1_0)))&((((((~(op(e0,e1)=e0)|~(op(e1,e0)=e1))|~(epred1_0))&((~(op(e1,e1)=e1)|~(op(e1,e0)=e1))|~(epred1_0)))&((~(op(e2,e1)=e2)|~(op(e1,e0)=e1))|~(epred1_0)))&((~(op(e3,e1)=e3)|~(op(e1,e0)=e1))|~(epred1_0)))&((~(op(e4,e1)=e4)|~(op(e1,e0)=e1))|~(epred1_0))))&((((((~(op(e0,e1)=e0)|~(op(e2,e0)=e2))|~(epred1_0))&((~(op(e1,e1)=e1)|~(op(e2,e0)=e2))|~(epred1_0)))&((~(op(e2,e1)=e2)|~(op(e2,e0)=e2))|~(epred1_0)))&((~(op(e3,e1)=e3)|~(op(e2,e0)=e2))|~(epred1_0)))&((~(op(e4,e1)=e4)|~(op(e2,e0)=e2))|~(epred1_0))))&((((((~(op(e0,e1)=e0)|~(op(e3,e0)=e3))|~(epred1_0))&((~(op(e1,e1)=e1)|~(op(e3,e0)=e3))|~(epred1_0)))&((~(op(e2,e1)=e2)|~(op(e3,e0)=e3))|~(epred1_0)))&((~(op(e3,e1)=e3)|~(op(e3,e0)=e3))|~(epred1_0)))&((~(op(e4,e1)=e4)|~(op(e3,e0)=e3))|~(epred1_0))))&((((((~(op(e0,e1)=e0)|~(op(e4,e0)=e4))|~(epred1_0))&((~(op(e1,e1)=e1)|~(op(e4,e0)=e4))|~(epred1_0)))&((~(op(e2,e1)=e2)|~(op(e4,e0)=e4))|~(epred1_0)))&((~(op(e3,e1)=e3)|~(op(e4,e0)=e4))|~(epred1_0)))&((~(op(e4,e1)=e4)|~(op(e4,e0)=e4))|~(epred1_0)))),inference(distribute,[status(thm)],[242])).
% cnf(260,plain,(~epred1_0|op(e1,e0)!=e1|op(e3,e1)!=e3),inference(split_conjunct,[status(thm)],[243])).
% fof(269, plain,(~(epred2_0)|((epred1_0|((((~(op(e0,e2)=e0)&~(op(e1,e2)=e1))&~(op(e2,e2)=e2))&~(op(e3,e2)=e3))&~(op(e4,e2)=e4)))|((((~(op(e0,e3)=e0)&~(op(e1,e3)=e1))&~(op(e2,e3)=e2))&~(op(e3,e3)=e3))&~(op(e4,e3)=e4)))),inference(fof_nnf,[status(thm)],[14])).
% fof(270, plain,((((((((((~(op(e0,e3)=e0)|(~(op(e0,e2)=e0)|epred1_0))|~(epred2_0))&((~(op(e1,e3)=e1)|(~(op(e0,e2)=e0)|epred1_0))|~(epred2_0)))&((~(op(e2,e3)=e2)|(~(op(e0,e2)=e0)|epred1_0))|~(epred2_0)))&((~(op(e3,e3)=e3)|(~(op(e0,e2)=e0)|epred1_0))|~(epred2_0)))&((~(op(e4,e3)=e4)|(~(op(e0,e2)=e0)|epred1_0))|~(epred2_0)))&((((((~(op(e0,e3)=e0)|(~(op(e1,e2)=e1)|epred1_0))|~(epred2_0))&((~(op(e1,e3)=e1)|(~(op(e1,e2)=e1)|epred1_0))|~(epred2_0)))&((~(op(e2,e3)=e2)|(~(op(e1,e2)=e1)|epred1_0))|~(epred2_0)))&((~(op(e3,e3)=e3)|(~(op(e1,e2)=e1)|epred1_0))|~(epred2_0)))&((~(op(e4,e3)=e4)|(~(op(e1,e2)=e1)|epred1_0))|~(epred2_0))))&((((((~(op(e0,e3)=e0)|(~(op(e2,e2)=e2)|epred1_0))|~(epred2_0))&((~(op(e1,e3)=e1)|(~(op(e2,e2)=e2)|epred1_0))|~(epred2_0)))&((~(op(e2,e3)=e2)|(~(op(e2,e2)=e2)|epred1_0))|~(epred2_0)))&((~(op(e3,e3)=e3)|(~(op(e2,e2)=e2)|epred1_0))|~(epred2_0)))&((~(op(e4,e3)=e4)|(~(op(e2,e2)=e2)|epred1_0))|~(epred2_0))))&((((((~(op(e0,e3)=e0)|(~(op(e3,e2)=e3)|epred1_0))|~(epred2_0))&((~(op(e1,e3)=e1)|(~(op(e3,e2)=e3)|epred1_0))|~(epred2_0)))&((~(op(e2,e3)=e2)|(~(op(e3,e2)=e3)|epred1_0))|~(epred2_0)))&((~(op(e3,e3)=e3)|(~(op(e3,e2)=e3)|epred1_0))|~(epred2_0)))&((~(op(e4,e3)=e4)|(~(op(e3,e2)=e3)|epred1_0))|~(epred2_0))))&((((((~(op(e0,e3)=e0)|(~(op(e4,e2)=e4)|epred1_0))|~(epred2_0))&((~(op(e1,e3)=e1)|(~(op(e4,e2)=e4)|epred1_0))|~(epred2_0)))&((~(op(e2,e3)=e2)|(~(op(e4,e2)=e4)|epred1_0))|~(epred2_0)))&((~(op(e3,e3)=e3)|(~(op(e4,e2)=e4)|epred1_0))|~(epred2_0)))&((~(op(e4,e3)=e4)|(~(op(e4,e2)=e4)|epred1_0))|~(epred2_0)))),inference(distribute,[status(thm)],[269])).
% cnf(281,plain,(epred1_0|~epred2_0|op(e2,e2)!=e2|op(e4,e3)!=e4),inference(split_conjunct,[status(thm)],[270])).
% fof(296, plain,(~(epred3_0)|(((((~(op(e0,e0)=e0)&~(op(e0,e1)=e1))&~(op(e0,e2)=e2))&~(op(e0,e3)=e3))&~(op(e0,e4)=e4))|((((~(op(e1,e0)=e0)&~(op(e1,e1)=e1))&~(op(e1,e2)=e2))&~(op(e1,e3)=e3))&~(op(e1,e4)=e4)))),inference(fof_nnf,[status(thm)],[11])).
% fof(297, plain,((((((((((~(op(e1,e0)=e0)|~(op(e0,e0)=e0))|~(epred3_0))&((~(op(e1,e1)=e1)|~(op(e0,e0)=e0))|~(epred3_0)))&((~(op(e1,e2)=e2)|~(op(e0,e0)=e0))|~(epred3_0)))&((~(op(e1,e3)=e3)|~(op(e0,e0)=e0))|~(epred3_0)))&((~(op(e1,e4)=e4)|~(op(e0,e0)=e0))|~(epred3_0)))&((((((~(op(e1,e0)=e0)|~(op(e0,e1)=e1))|~(epred3_0))&((~(op(e1,e1)=e1)|~(op(e0,e1)=e1))|~(epred3_0)))&((~(op(e1,e2)=e2)|~(op(e0,e1)=e1))|~(epred3_0)))&((~(op(e1,e3)=e3)|~(op(e0,e1)=e1))|~(epred3_0)))&((~(op(e1,e4)=e4)|~(op(e0,e1)=e1))|~(epred3_0))))&((((((~(op(e1,e0)=e0)|~(op(e0,e2)=e2))|~(epred3_0))&((~(op(e1,e1)=e1)|~(op(e0,e2)=e2))|~(epred3_0)))&((~(op(e1,e2)=e2)|~(op(e0,e2)=e2))|~(epred3_0)))&((~(op(e1,e3)=e3)|~(op(e0,e2)=e2))|~(epred3_0)))&((~(op(e1,e4)=e4)|~(op(e0,e2)=e2))|~(epred3_0))))&((((((~(op(e1,e0)=e0)|~(op(e0,e3)=e3))|~(epred3_0))&((~(op(e1,e1)=e1)|~(op(e0,e3)=e3))|~(epred3_0)))&((~(op(e1,e2)=e2)|~(op(e0,e3)=e3))|~(epred3_0)))&((~(op(e1,e3)=e3)|~(op(e0,e3)=e3))|~(epred3_0)))&((~(op(e1,e4)=e4)|~(op(e0,e3)=e3))|~(epred3_0))))&((((((~(op(e1,e0)=e0)|~(op(e0,e4)=e4))|~(epred3_0))&((~(op(e1,e1)=e1)|~(op(e0,e4)=e4))|~(epred3_0)))&((~(op(e1,e2)=e2)|~(op(e0,e4)=e4))|~(epred3_0)))&((~(op(e1,e3)=e3)|~(op(e0,e4)=e4))|~(epred3_0)))&((~(op(e1,e4)=e4)|~(op(e0,e4)=e4))|~(epred3_0)))),inference(distribute,[status(thm)],[296])).
% cnf(302,plain,(~epred3_0|op(e0,e4)!=e4|op(e1,e0)!=e0),inference(split_conjunct,[status(thm)],[297])).
% fof(323, plain,(~(epred4_0)|((epred3_0|((((~(op(e2,e0)=e0)&~(op(e2,e1)=e1))&~(op(e2,e2)=e2))&~(op(e2,e3)=e3))&~(op(e2,e4)=e4)))|((((~(op(e3,e0)=e0)&~(op(e3,e1)=e1))&~(op(e3,e2)=e2))&~(op(e3,e3)=e3))&~(op(e3,e4)=e4)))),inference(fof_nnf,[status(thm)],[15])).
% fof(324, plain,((((((((((~(op(e3,e0)=e0)|(~(op(e2,e0)=e0)|epred3_0))|~(epred4_0))&((~(op(e3,e1)=e1)|(~(op(e2,e0)=e0)|epred3_0))|~(epred4_0)))&((~(op(e3,e2)=e2)|(~(op(e2,e0)=e0)|epred3_0))|~(epred4_0)))&((~(op(e3,e3)=e3)|(~(op(e2,e0)=e0)|epred3_0))|~(epred4_0)))&((~(op(e3,e4)=e4)|(~(op(e2,e0)=e0)|epred3_0))|~(epred4_0)))&((((((~(op(e3,e0)=e0)|(~(op(e2,e1)=e1)|epred3_0))|~(epred4_0))&((~(op(e3,e1)=e1)|(~(op(e2,e1)=e1)|epred3_0))|~(epred4_0)))&((~(op(e3,e2)=e2)|(~(op(e2,e1)=e1)|epred3_0))|~(epred4_0)))&((~(op(e3,e3)=e3)|(~(op(e2,e1)=e1)|epred3_0))|~(epred4_0)))&((~(op(e3,e4)=e4)|(~(op(e2,e1)=e1)|epred3_0))|~(epred4_0))))&((((((~(op(e3,e0)=e0)|(~(op(e2,e2)=e2)|epred3_0))|~(epred4_0))&((~(op(e3,e1)=e1)|(~(op(e2,e2)=e2)|epred3_0))|~(epred4_0)))&((~(op(e3,e2)=e2)|(~(op(e2,e2)=e2)|epred3_0))|~(epred4_0)))&((~(op(e3,e3)=e3)|(~(op(e2,e2)=e2)|epred3_0))|~(epred4_0)))&((~(op(e3,e4)=e4)|(~(op(e2,e2)=e2)|epred3_0))|~(epred4_0))))&((((((~(op(e3,e0)=e0)|(~(op(e2,e3)=e3)|epred3_0))|~(epred4_0))&((~(op(e3,e1)=e1)|(~(op(e2,e3)=e3)|epred3_0))|~(epred4_0)))&((~(op(e3,e2)=e2)|(~(op(e2,e3)=e3)|epred3_0))|~(epred4_0)))&((~(op(e3,e3)=e3)|(~(op(e2,e3)=e3)|epred3_0))|~(epred4_0)))&((~(op(e3,e4)=e4)|(~(op(e2,e3)=e3)|epred3_0))|~(epred4_0))))&((((((~(op(e3,e0)=e0)|(~(op(e2,e4)=e4)|epred3_0))|~(epred4_0))&((~(op(e3,e1)=e1)|(~(op(e2,e4)=e4)|epred3_0))|~(epred4_0)))&((~(op(e3,e2)=e2)|(~(op(e2,e4)=e4)|epred3_0))|~(epred4_0)))&((~(op(e3,e3)=e3)|(~(op(e2,e4)=e4)|epred3_0))|~(epred4_0)))&((~(op(e3,e4)=e4)|(~(op(e2,e4)=e4)|epred3_0))|~(epred4_0)))),inference(distribute,[status(thm)],[323])).
% cnf(338,plain,(epred3_0|~epred4_0|op(e2,e2)!=e2|op(e3,e1)!=e1),inference(split_conjunct,[status(thm)],[324])).
% cnf(352,plain,(op(e4,e1)=e0),inference(rw,[status(thm)],[219,218,theory(equality)])).
% cnf(354,plain,(op(op(e1,e4),e0)=e4),inference(rw,[status(thm)],[94,352,theory(equality)])).
% cnf(356,plain,(op(e1,e1)=e4),inference(rw,[status(thm)],[inference(rw,[status(thm)],[91,218,theory(equality)]),218,theory(equality)])).
% cnf(358,plain,(op(e2,e1)!=e4),inference(rw,[status(thm)],[201,356,theory(equality)])).
% cnf(359,plain,(op(e1,e4)!=e4),inference(rw,[status(thm)],[149,356,theory(equality)])).
% cnf(360,plain,(op(e1,e3)!=e4),inference(rw,[status(thm)],[150,356,theory(equality)])).
% cnf(362,plain,(op(e1,e0)!=e4),inference(rw,[status(thm)],[155,356,theory(equality)])).
% cnf(364,plain,(op(e0,e1)=e2),inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[217,218,theory(equality)]),352,theory(equality)]),218,theory(equality)])).
% cnf(366,plain,(op(e2,op(e1,e0))=e1),inference(rw,[status(thm)],[110,364,theory(equality)])).
% cnf(367,plain,(op(e2,e1)!=e2),inference(rw,[status(thm)],[204,364,theory(equality)])).
% cnf(368,plain,(op(e0,e4)!=e2),inference(rw,[status(thm)],[159,364,theory(equality)])).
% cnf(369,plain,(op(e0,e3)!=e2),inference(rw,[status(thm)],[160,364,theory(equality)])).
% cnf(372,plain,(op(e0,e0)=e3),inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[216,218,theory(equality)]),352,theory(equality)]),218,theory(equality)]),352,theory(equality)])).
% cnf(373,plain,(op(e3,e3)=e0),inference(rw,[status(thm)],[inference(rw,[status(thm)],[115,372,theory(equality)]),372,theory(equality)])).
% cnf(374,plain,(op(e3,e0)!=e3),inference(rw,[status(thm)],[213,372,theory(equality)])).
% cnf(377,plain,(op(e0,e4)!=e3),inference(rw,[status(thm)],[162,372,theory(equality)])).
% cnf(378,plain,(op(e0,e3)!=e3),inference(rw,[status(thm)],[163,372,theory(equality)])).
% cnf(379,plain,(op(e0,e2)!=e3),inference(rw,[status(thm)],[164,372,theory(equality)])).
% cnf(380,plain,(op(e3,e1)!=e2),inference(rw,[status(thm)],[203,364,theory(equality)])).
% cnf(381,plain,(op(e3,e1)!=e4),inference(rw,[status(thm)],[200,356,theory(equality)])).
% cnf(382,plain,(op(e4,e0)!=e3),inference(rw,[status(thm)],[212,372,theory(equality)])).
% cnf(387,plain,(e0!=op(e2,e1)),inference(rw,[status(thm)],[197,352,theory(equality)])).
% cnf(388,plain,(e0!=op(e3,e1)),inference(rw,[status(thm)],[196,352,theory(equality)])).
% cnf(389,plain,(e0!=op(e4,e0)),inference(rw,[status(thm)],[125,352,theory(equality)])).
% cnf(390,plain,(op(e4,e2)!=e0),inference(rw,[status(thm)],[121,352,theory(equality)])).
% cnf(392,plain,(e1!=op(e0,e4)),inference(rw,[status(thm)],[172,218,theory(equality)])).
% cnf(393,plain,(e1!=op(e1,e4)),inference(rw,[status(thm)],[169,218,theory(equality)])).
% cnf(395,plain,(e1!=op(e3,e4)),inference(rw,[status(thm)],[166,218,theory(equality)])).
% cnf(396,plain,(e1!=op(e4,e0)),inference(rw,[status(thm)],[122,218,theory(equality)])).
% cnf(399,plain,(e1!=op(e4,e2)),inference(rw,[status(thm)],[117,218,theory(equality)])).
% cnf(441,plain,(e3=e0|op(e0,e1)=e0|op(e0,e2)=e0|op(e0,e3)=e0|op(e0,e4)=e0),inference(rw,[status(thm)],[90,372,theory(equality)])).
% cnf(442,plain,(e3=e0|e2=e0|op(e0,e2)=e0|op(e0,e3)=e0|op(e0,e4)=e0),inference(rw,[status(thm)],[441,364,theory(equality)])).
% cnf(443,plain,(e2=e0|op(e0,e2)=e0|op(e0,e3)=e0|op(e0,e4)=e0),inference(sr,[status(thm)],[442,227,theory(equality)])).
% cnf(444,plain,(op(e0,e2)=e0|op(e0,e3)=e0|op(e0,e4)=e0),inference(sr,[status(thm)],[443,228,theory(equality)])).
% cnf(467,plain,(e3=e4|op(e1,e0)=e4|op(e2,e0)=e4|op(e3,e0)=e4|op(e4,e0)=e4),inference(rw,[status(thm)],[81,372,theory(equality)])).
% cnf(468,plain,(op(e1,e0)=e4|op(e2,e0)=e4|op(e3,e0)=e4|op(e4,e0)=e4),inference(sr,[status(thm)],[467,220,theory(equality)])).
% cnf(477,plain,(e2=e1|op(e1,e1)=e1|op(e2,e1)=e1|op(e3,e1)=e1|op(e4,e1)=e1),inference(rw,[status(thm)],[77,364,theory(equality)])).
% cnf(478,plain,(e2=e1|e4=e1|op(e2,e1)=e1|op(e3,e1)=e1|op(e4,e1)=e1),inference(rw,[status(thm)],[477,356,theory(equality)])).
% cnf(479,plain,(e2=e1|e4=e1|op(e2,e1)=e1|op(e3,e1)=e1|e0=e1),inference(rw,[status(thm)],[478,352,theory(equality)])).
% cnf(480,plain,(e4=e1|op(e2,e1)=e1|op(e3,e1)=e1|e0=e1),inference(sr,[status(thm)],[479,225,theory(equality)])).
% cnf(481,plain,(op(e2,e1)=e1|op(e3,e1)=e1|e0=e1),inference(sr,[status(thm)],[480,223,theory(equality)])).
% cnf(482,plain,(op(e2,e1)=e1|op(e3,e1)=e1),inference(sr,[status(thm)],[481,229,theory(equality)])).
% cnf(486,plain,(e2=e3|op(e1,e1)=e3|op(e2,e1)=e3|op(e3,e1)=e3|op(e4,e1)=e3),inference(rw,[status(thm)],[73,364,theory(equality)])).
% cnf(487,plain,(e2=e3|e4=e3|op(e2,e1)=e3|op(e3,e1)=e3|op(e4,e1)=e3),inference(rw,[status(thm)],[486,356,theory(equality)])).
% cnf(488,plain,(e2=e3|e4=e3|op(e2,e1)=e3|op(e3,e1)=e3|e0=e3),inference(rw,[status(thm)],[487,352,theory(equality)])).
% cnf(489,plain,(e4=e3|op(e2,e1)=e3|op(e3,e1)=e3|e3=e0),inference(sr,[status(thm)],[488,222,theory(equality)])).
% cnf(490,plain,(op(e2,e1)=e3|op(e3,e1)=e3|e3=e0),inference(sr,[status(thm)],[489,220,theory(equality)])).
% cnf(491,plain,(op(e2,e1)=e3|op(e3,e1)=e3),inference(sr,[status(thm)],[490,227,theory(equality)])).
% cnf(499,plain,(op(e0,e4)=e0|op(e0,e4)=e2|op(e0,e4)=e3|op(e0,e4)=e4),inference(sr,[status(thm)],[36,392,theory(equality)])).
% cnf(505,plain,(op(e0,e4)=e3|op(e1,e4)=e3|op(e2,e4)=e3|op(e3,e4)=e3|e1=e3),inference(rw,[status(thm)],[43,218,theory(equality)])).
% cnf(506,plain,(op(e0,e4)=e3|op(e1,e4)=e3|op(e2,e4)=e3|op(e3,e4)=e3),inference(sr,[status(thm)],[505,224,theory(equality)])).
% cnf(507,plain,(op(e0,e4)=e4|op(e1,e4)=e4|op(e2,e4)=e4|op(e3,e4)=e4|e1=e4),inference(rw,[status(thm)],[41,218,theory(equality)])).
% cnf(508,plain,(op(e0,e4)=e4|op(e1,e4)=e4|op(e2,e4)=e4|op(e3,e4)=e4),inference(sr,[status(thm)],[507,223,theory(equality)])).
% cnf(509,plain,(op(e1,e0)=e0|e4=e0|op(e1,e2)=e0|op(e1,e3)=e0|op(e1,e4)=e0),inference(rw,[status(thm)],[80,356,theory(equality)])).
% cnf(510,plain,(op(e1,e0)=e0|op(e1,e2)=e0|op(e1,e3)=e0|op(e1,e4)=e0),inference(sr,[status(thm)],[509,226,theory(equality)])).
% cnf(511,plain,(op(e1,e0)=e1|e4=e1|op(e1,e2)=e1|op(e1,e3)=e1|op(e1,e4)=e1),inference(rw,[status(thm)],[78,356,theory(equality)])).
% cnf(512,plain,(op(e1,e0)=e1|op(e1,e2)=e1|op(e1,e3)=e1|op(e1,e4)=e1),inference(sr,[status(thm)],[511,223,theory(equality)])).
% cnf(513,plain,(op(e1,e0)=e1|op(e1,e2)=e1|op(e1,e3)=e1),inference(sr,[status(thm)],[512,393,theory(equality)])).
% cnf(524,plain,(op(e1,e4)=e0|op(e1,e4)=e2|op(e1,e4)=e3|op(e1,e4)=e4),inference(sr,[status(thm)],[31,393,theory(equality)])).
% cnf(527,plain,(op(e2,e1)=e1|op(e2,e1)=e2|op(e2,e1)=e3|op(e2,e1)=e4),inference(sr,[status(thm)],[29,387,theory(equality)])).
% cnf(533,plain,(op(e3,e1)=e1|op(e3,e1)=e2|op(e3,e1)=e3|op(e3,e1)=e4),inference(sr,[status(thm)],[24,388,theory(equality)])).
% cnf(534,plain,(op(e3,e1)=e1|op(e3,e1)=e3|op(e3,e1)=e4),inference(sr,[status(thm)],[533,380,theory(equality)])).
% cnf(535,plain,(op(e3,e1)=e1|op(e3,e1)=e3),inference(sr,[status(thm)],[534,381,theory(equality)])).
% cnf(536,plain,(op(e3,e4)=e0|op(e3,e4)=e2|op(e3,e4)=e3|op(e3,e4)=e4),inference(sr,[status(thm)],[21,395,theory(equality)])).
% cnf(537,plain,(op(e4,e0)=e1|op(e4,e0)=e2|op(e4,e0)=e3|op(e4,e0)=e4),inference(sr,[status(thm)],[20,389,theory(equality)])).
% cnf(538,plain,(op(e4,e0)=e2|op(e4,e0)=e3|op(e4,e0)=e4),inference(sr,[status(thm)],[537,396,theory(equality)])).
% cnf(539,plain,(op(e4,e0)=e2|op(e4,e0)=e4),inference(sr,[status(thm)],[538,382,theory(equality)])).
% cnf(548,plain,(op(e4,e0)=e3|e0=e3|op(e4,e2)=e3|op(e4,e3)=e3|op(e4,e4)=e3),inference(rw,[status(thm)],[44,352,theory(equality)])).
% cnf(549,plain,(op(e4,e0)=e3|e0=e3|op(e4,e2)=e3|op(e4,e3)=e3|e1=e3),inference(rw,[status(thm)],[548,218,theory(equality)])).
% cnf(550,plain,(e3=e0|op(e4,e2)=e3|op(e4,e3)=e3|e3=e1),inference(sr,[status(thm)],[549,382,theory(equality)])).
% cnf(551,plain,(op(e4,e2)=e3|op(e4,e3)=e3|e3=e1),inference(sr,[status(thm)],[550,227,theory(equality)])).
% cnf(552,plain,(op(e4,e2)=e3|op(e4,e3)=e3),inference(sr,[status(thm)],[551,224,theory(equality)])).
% cnf(553,plain,(op(e4,e0)=e4|e0=e4|op(e4,e2)=e4|op(e4,e3)=e4|op(e4,e4)=e4),inference(rw,[status(thm)],[42,352,theory(equality)])).
% cnf(554,plain,(op(e4,e0)=e4|e0=e4|op(e4,e2)=e4|op(e4,e3)=e4|e1=e4),inference(rw,[status(thm)],[553,218,theory(equality)])).
% cnf(555,plain,(op(e4,e0)=e4|op(e4,e2)=e4|op(e4,e3)=e4|e4=e1),inference(sr,[status(thm)],[554,226,theory(equality)])).
% cnf(556,plain,(op(e4,e0)=e4|op(e4,e2)=e4|op(e4,e3)=e4),inference(sr,[status(thm)],[555,223,theory(equality)])).
% cnf(562,plain,(op(e4,e2)=e1|op(e4,e2)=e2|op(e4,e2)=e3|op(e4,e2)=e4),inference(sr,[status(thm)],[18,390,theory(equality)])).
% cnf(563,plain,(op(e4,e2)=e2|op(e4,e2)=e3|op(e4,e2)=e4),inference(sr,[status(thm)],[562,399,theory(equality)])).
% cnf(572,plain,(op(e2,e1)=e3|op(e2,e1)=e2|op(e2,e1)=e1),inference(sr,[status(thm)],[527,358,theory(equality)])).
% cnf(573,plain,(op(e3,e4)=e4|op(e2,e4)=e4|op(e0,e4)=e4),inference(sr,[status(thm)],[508,359,theory(equality)])).
% cnf(574,plain,(op(e1,e4)=e3|op(e1,e4)=e2|op(e1,e4)=e0),inference(sr,[status(thm)],[524,359,theory(equality)])).
% cnf(575,plain,(op(e4,e3)=e4|op(e3,e3)=e4|op(e2,e3)=e4|op(e0,e3)=e4),inference(sr,[status(thm)],[51,360,theory(equality)])).
% cnf(576,plain,(op(e1,e3)=e3|op(e1,e3)=e2|op(e1,e3)=e1|op(e1,e3)=e0),inference(sr,[status(thm)],[32,360,theory(equality)])).
% cnf(585,plain,(op(e3,e4)=e3|e0=e3|op(e3,e2)=e3|op(e3,e1)=e3|op(e3,e0)=e3),inference(rw,[status(thm)],[54,373,theory(equality)])).
% cnf(586,plain,(op(e3,e4)=e3|op(e3,e2)=e3|op(e3,e1)=e3|op(e3,e0)=e3),inference(sr,[status(thm)],[585,227,theory(equality)])).
% cnf(590,plain,(op(e4,e3)=e3|e0=e3|op(e2,e3)=e3|op(e1,e3)=e3|op(e0,e3)=e3),inference(rw,[status(thm)],[53,373,theory(equality)])).
% cnf(591,plain,(op(e4,e3)=e3|op(e2,e3)=e3|op(e1,e3)=e3|op(e0,e3)=e3),inference(sr,[status(thm)],[590,227,theory(equality)])).
% cnf(606,plain,(op(e3,e4)!=e0),inference(rw,[status(thm)],[126,373,theory(equality)])).
% cnf(611,plain,(e0!=op(e1,e3)),inference(rw,[status(thm)],[180,373,theory(equality)])).
% cnf(612,plain,(e0!=op(e0,e3)),inference(rw,[status(thm)],[183,373,theory(equality)])).
% cnf(613,plain,(op(e4,e0)=e4|op(e3,e0)=e4|op(e2,e0)=e4),inference(sr,[status(thm)],[468,362,theory(equality)])).
% cnf(616,plain,(op(e2,e4)=e2|op(e2,e3)=e2|op(e2,e2)=e2|op(e2,e0)=e2),inference(sr,[status(thm)],[66,367,theory(equality)])).
% cnf(617,plain,(op(e0,e4)=e4|op(e0,e4)=e3|op(e0,e4)=e0),inference(sr,[status(thm)],[499,368,theory(equality)])).
% cnf(619,plain,(op(e0,e3)=e4|op(e0,e3)=e3|op(e0,e3)=e1|op(e0,e3)=e0),inference(sr,[status(thm)],[37,369,theory(equality)])).
% cnf(627,plain,(op(e3,e4)=e3|op(e2,e4)=e3|op(e1,e4)=e3),inference(sr,[status(thm)],[506,377,theory(equality)])).
% cnf(628,plain,(op(e4,e2)=e3|op(e3,e2)=e3|op(e2,e2)=e3|op(e1,e2)=e3),inference(sr,[status(thm)],[63,379,theory(equality)])).
% cnf(630,plain,(op(e3,e4)=e4|op(e3,e4)=e3|op(e3,e4)=e2),inference(sr,[status(thm)],[536,606,theory(equality)])).
% cnf(634,plain,(op(e2,e1)=e3|op(e2,e1)=e1),inference(sr,[status(thm)],[572,367,theory(equality)])).
% cnf(637,plain,(op(e1,e4)=e0|op(e1,e2)=e0|op(e1,e0)=e0),inference(sr,[status(thm)],[510,611,theory(equality)])).
% cnf(638,plain,(op(e0,e4)=e0|op(e0,e2)=e0),inference(sr,[status(thm)],[444,612,theory(equality)])).
% cnf(639,plain,(op(e0,e4)=e4|op(e0,e4)=e0),inference(sr,[status(thm)],[617,377,theory(equality)])).
% cnf(640,plain,(op(e4,e3)=e4|e0=e4|op(e2,e3)=e4|op(e0,e3)=e4),inference(rw,[status(thm)],[575,373,theory(equality)])).
% cnf(641,plain,(op(e4,e3)=e4|op(e2,e3)=e4|op(e0,e3)=e4),inference(sr,[status(thm)],[640,226,theory(equality)])).
% cnf(642,plain,(op(e1,e3)=e3|op(e1,e3)=e2|op(e1,e3)=e1),inference(sr,[status(thm)],[576,611,theory(equality)])).
% cnf(644,plain,(op(e3,e4)=e3|op(e3,e2)=e3|op(e3,e1)=e3),inference(sr,[status(thm)],[586,374,theory(equality)])).
% cnf(645,plain,(op(e4,e3)=e3|op(e2,e3)=e3|op(e1,e3)=e3),inference(sr,[status(thm)],[591,378,theory(equality)])).
% cnf(647,plain,(op(e0,e3)=e4|op(e0,e3)=e1|op(e0,e3)=e0),inference(sr,[status(thm)],[619,378,theory(equality)])).
% cnf(648,plain,(op(e0,e3)=e4|op(e0,e3)=e1),inference(sr,[status(thm)],[647,612,theory(equality)])).
% cnf(659,plain,(op(op(e1,e3),e3)=e3|op(e2,e1)=e3),inference(spm,[status(thm)],[99,491,theory(equality)])).
% cnf(666,plain,(op(op(e1,e3),e3)=e3|op(e3,e1)=e1),inference(spm,[status(thm)],[99,535,theory(equality)])).
% cnf(674,plain,(op(op(e0,e4),e4)=e4|op(e4,e0)=e2),inference(spm,[status(thm)],[95,539,theory(equality)])).
% cnf(675,negated_conjecture,(epred4_0|op(e4,e2)=e3),inference(spm,[status(thm)],[233,552,theory(equality)])).
% cnf(682,plain,(op(op(e1,e2),e3)=e2|op(e2,e1)=e1),inference(spm,[status(thm)],[104,634,theory(equality)])).
% cnf(688,negated_conjecture,(epred2_0|op(e0,e2)=e0),inference(spm,[status(thm)],[241,638,theory(equality)])).
% cnf(692,plain,(op(e0,op(e4,e0))=e4|op(e0,e2)=e0),inference(spm,[status(thm)],[95,638,theory(equality)])).
% cnf(698,plain,(op(e4,op(e4,e0))=e4|op(e0,e4)=e0),inference(spm,[status(thm)],[95,639,theory(equality)])).
% cnf(712,plain,(op(e0,e3)=e1|e4!=op(e0,e2)),inference(spm,[status(thm)],[158,648,theory(equality)])).
% cnf(713,plain,(op(e1,op(e1,e3))=e1|op(e2,e1)=e1),inference(spm,[status(thm)],[107,482,theory(equality)])).
% cnf(714,plain,(op(e3,op(e1,e3))=e1|op(e2,e1)=e3),inference(spm,[status(thm)],[107,491,theory(equality)])).
% cnf(719,plain,(op(e0,e4)=e0|e4!=op(e0,e3)),inference(spm,[status(thm)],[156,639,theory(equality)])).
% cnf(721,plain,(op(op(e4,e0),e0)=e0|op(e0,e2)=e0),inference(spm,[status(thm)],[111,638,theory(equality)])).
% cnf(722,plain,(op(op(e4,e0),e4)=e0|op(e0,e4)=e0),inference(spm,[status(thm)],[111,639,theory(equality)])).
% cnf(723,plain,(op(e4,op(e0,e4))=e0|op(e4,e0)=e2),inference(spm,[status(thm)],[111,539,theory(equality)])).
% cnf(762,plain,(op(op(e3,e4),e4)=e4|op(e4,e0)=e4|op(e4,e2)=e4),inference(spm,[status(thm)],[92,556,theory(equality)])).
% cnf(773,plain,(op(op(e2,e4),e4)=e4|op(e4,e2)=e2|op(e4,e2)=e3),inference(spm,[status(thm)],[93,563,theory(equality)])).
% cnf(822,plain,(op(e3,e1)=e1|e3!=op(e2,e1)),inference(spm,[status(thm)],[198,535,theory(equality)])).
% cnf(882,plain,(op(e2,e4)=e4|op(e0,e4)=e4|e4!=op(e3,e0)),inference(spm,[status(thm)],[132,573,theory(equality)])).
% cnf(897,negated_conjecture,(epred2_0|op(e2,e4)=e3|op(e1,e4)=e3),inference(spm,[status(thm)],[238,627,theory(equality)])).
% cnf(922,plain,(op(e3,e4)=e3|op(e3,e4)=e2|e4!=op(e3,e0)),inference(spm,[status(thm)],[132,630,theory(equality)])).
% cnf(946,plain,(op(e4,e0)=e2|e4!=op(e3,e0)),inference(spm,[status(thm)],[206,539,theory(equality)])).
% cnf(958,plain,(op(e0,e0)=e4|op(e1,e2)=e0|op(e1,e0)=e0),inference(spm,[status(thm)],[354,637,theory(equality)])).
% cnf(961,plain,(e3=e4|op(e1,e2)=e0|op(e1,e0)=e0),inference(rw,[status(thm)],[958,372,theory(equality)])).
% cnf(962,plain,(op(e1,e2)=e0|op(e1,e0)=e0),inference(sr,[status(thm)],[961,220,theory(equality)])).
% cnf(994,plain,(op(e4,e2)=e3|e3!=op(e2,e3)),inference(spm,[status(thm)],[177,552,theory(equality)])).
% cnf(995,plain,(op(e4,e0)=e4|op(e4,e2)=e4|e4!=op(e2,e3)),inference(spm,[status(thm)],[177,556,theory(equality)])).
% cnf(1007,negated_conjecture,(epred2_0|op(e3,e2)=e3|op(e3,e1)=e3),inference(spm,[status(thm)],[238,644,theory(equality)])).
% cnf(1009,plain,(op(e3,e2)=e3|op(e3,e1)=e3|e3!=op(e1,e4)),inference(spm,[status(thm)],[170,644,theory(equality)])).
% cnf(1281,negated_conjecture,(epred4_0|e3!=op(e3,e2)),inference(spm,[status(thm)],[186,675,theory(equality)])).
% cnf(1297,negated_conjecture,(epred2_0|e0!=op(e1,e2)),inference(spm,[status(thm)],[195,688,theory(equality)])).
% cnf(1329,plain,(op(e4,e4)=e4|op(e4,e0)=e2|op(e0,e4)=e0),inference(spm,[status(thm)],[674,639,theory(equality)])).
% cnf(1332,plain,(e1=e4|op(e4,e0)=e2|op(e0,e4)=e0),inference(rw,[status(thm)],[1329,218,theory(equality)])).
% cnf(1333,plain,(op(e4,e0)=e2|op(e0,e4)=e0),inference(sr,[status(thm)],[1332,223,theory(equality)])).
% cnf(1344,negated_conjecture,(epred2_0|op(e1,e0)=e0),inference(spm,[status(thm)],[1297,962,theory(equality)])).
% cnf(1347,negated_conjecture,(op(e2,e0)=e1|epred2_0),inference(spm,[status(thm)],[366,1344,theory(equality)])).
% cnf(1350,plain,(op(e0,e3)=e2|op(e2,e1)=e1|op(e1,e0)=e0),inference(spm,[status(thm)],[682,962,theory(equality)])).
% cnf(1353,plain,(op(e2,e1)=e1|op(e1,e0)=e0),inference(sr,[status(thm)],[1350,369,theory(equality)])).
% cnf(1356,negated_conjecture,(epred2_0|e1!=op(e2,e1)),inference(spm,[status(thm)],[145,1347,theory(equality)])).
% cnf(1376,plain,(e2=e4|op(e3,e0)=e4|op(e2,e0)=e4|op(e0,e4)=e0),inference(spm,[status(thm)],[613,1333,theory(equality)])).
% cnf(1377,plain,(op(e3,e0)=e4|op(e2,e0)=e4|op(e0,e4)=e0),inference(sr,[status(thm)],[1376,221,theory(equality)])).
% cnf(1454,plain,(op(e4,e2)=e4|op(e0,e4)=e0),inference(spm,[status(thm)],[698,1333,theory(equality)])).
% cnf(1581,plain,(op(e0,e4)=e0|op(e0,e3)=e1),inference(spm,[status(thm)],[719,648,theory(equality)])).
% cnf(1585,plain,(op(e0,e3)=e1|e0!=op(e0,e2)),inference(spm,[status(thm)],[157,1581,theory(equality)])).
% cnf(1664,plain,(op(e4,e0)=e0|op(e0,e2)=e0|op(e4,e0)=e2),inference(spm,[status(thm)],[721,539,theory(equality)])).
% cnf(1666,plain,(op(e0,e2)=e0|op(e4,e0)=e2),inference(sr,[status(thm)],[1664,389,theory(equality)])).
% cnf(1675,plain,(op(e0,e2)=e4|op(e0,e2)=e0),inference(spm,[status(thm)],[692,1666,theory(equality)])).
% cnf(1685,plain,(op(e2,e4)=e0|op(e0,e4)=e0),inference(spm,[status(thm)],[722,1333,theory(equality)])).
% cnf(1761,negated_conjecture,(e4=e3|epred4_0|op(e0,e4)=e0),inference(spm,[status(thm)],[675,1454,theory(equality)])).
% cnf(1764,negated_conjecture,(epred4_0|op(e0,e4)=e0),inference(sr,[status(thm)],[1761,220,theory(equality)])).
% cnf(1771,negated_conjecture,(op(e4,e0)=e0|op(e4,e0)=e2|epred4_0),inference(spm,[status(thm)],[723,1764,theory(equality)])).
% cnf(1773,negated_conjecture,(op(e0,op(e4,e0))=e4|epred4_0),inference(spm,[status(thm)],[95,1764,theory(equality)])).
% cnf(1777,negated_conjecture,(op(e4,e0)=e2|epred4_0),inference(sr,[status(thm)],[1771,389,theory(equality)])).
% cnf(1791,negated_conjecture,(e2=e4|op(e3,e0)=e4|op(e2,e0)=e4|epred4_0),inference(spm,[status(thm)],[613,1777,theory(equality)])).
% cnf(1792,negated_conjecture,(op(e3,e0)=e4|op(e2,e0)=e4|epred4_0),inference(sr,[status(thm)],[1791,221,theory(equality)])).
% cnf(1875,negated_conjecture,(op(e0,e2)=e4|epred4_0),inference(spm,[status(thm)],[1773,1777,theory(equality)])).
% cnf(1885,negated_conjecture,(op(e4,op(e2,e0))=e2|epred4_0),inference(spm,[status(thm)],[105,1875,theory(equality)])).
% cnf(2194,plain,(op(e0,e3)=e1|op(e0,e2)=e0),inference(spm,[status(thm)],[712,1675,theory(equality)])).
% cnf(2222,plain,(op(e0,e3)=e1),inference(csr,[status(thm)],[2194,1585])).
% cnf(2235,plain,(op(e4,e3)=e4|op(e2,e3)=e4|e1=e4),inference(rw,[status(thm)],[641,2222,theory(equality)])).
% cnf(2236,plain,(op(e4,e3)=e4|op(e2,e3)=e4),inference(sr,[status(thm)],[2235,223,theory(equality)])).
% cnf(2242,plain,(op(e1,op(e3,e0))=e3),inference(rw,[status(thm)],[100,2222,theory(equality)])).
% cnf(2250,plain,(e1!=op(e1,e3)),inference(rw,[status(thm)],[185,2222,theory(equality)])).
% cnf(2269,plain,(op(e1,e0)=e1|op(e1,e2)=e1),inference(sr,[status(thm)],[513,2250,theory(equality)])).
% cnf(2270,plain,(op(e1,e3)=e3|op(e1,e3)=e2),inference(sr,[status(thm)],[642,2250,theory(equality)])).
% cnf(2352,negated_conjecture,(op(e1,e4)=e3|op(e2,e0)=e4|epred4_0),inference(spm,[status(thm)],[2242,1792,theory(equality)])).
% cnf(2365,plain,(op(e4,e2)=e3|e4=e3|op(e2,e3)=e4),inference(spm,[status(thm)],[552,2236,theory(equality)])).
% cnf(2369,plain,(op(e4,e2)=e3|op(e2,e3)=e4),inference(sr,[status(thm)],[2365,220,theory(equality)])).
% cnf(2417,plain,(op(e1,e3)=e1|op(e2,e1)=e1|op(e1,e3)=e2),inference(spm,[status(thm)],[713,2270,theory(equality)])).
% cnf(2424,plain,(op(e3,e3)=e1|op(e2,e1)=e3|op(e1,e3)=e2),inference(spm,[status(thm)],[714,2270,theory(equality)])).
% cnf(2434,plain,(op(e2,e1)=e1|op(e1,e3)=e2),inference(sr,[status(thm)],[2417,2250,theory(equality)])).
% cnf(2437,plain,(e0=e1|op(e2,e1)=e3|op(e1,e3)=e2),inference(rw,[status(thm)],[2424,373,theory(equality)])).
% cnf(2438,plain,(op(e2,e1)=e3|op(e1,e3)=e2),inference(sr,[status(thm)],[2437,229,theory(equality)])).
% cnf(2516,plain,(op(e2,e3)=e4|e3!=op(e3,e2)),inference(spm,[status(thm)],[186,2369,theory(equality)])).
% cnf(2524,plain,(op(e0,e4)=e0|e3=e4|op(e2,e3)=e4),inference(spm,[status(thm)],[1454,2369,theory(equality)])).
% cnf(2527,plain,(op(e0,e4)=e0|op(e2,e3)=e4),inference(sr,[status(thm)],[2524,220,theory(equality)])).
% cnf(2645,plain,(op(e1,e3)=e2|e3=e1),inference(spm,[status(thm)],[2434,2438,theory(equality)])).
% cnf(2652,plain,(op(e1,e3)=e2),inference(sr,[status(thm)],[2645,224,theory(equality)])).
% cnf(2668,plain,(op(e4,e3)=e3|op(e2,e3)=e3|e2=e3),inference(rw,[status(thm)],[645,2652,theory(equality)])).
% cnf(2669,plain,(op(e4,e3)=e3|op(e2,e3)=e3),inference(sr,[status(thm)],[2668,222,theory(equality)])).
% cnf(2671,plain,(op(e2,e3)=e3|op(e3,e1)=e1),inference(rw,[status(thm)],[666,2652,theory(equality)])).
% cnf(2672,plain,(op(op(e3,e1),e2)=e1),inference(rw,[status(thm)],[107,2652,theory(equality)])).
% cnf(2676,plain,(op(e2,e3)=e3|op(e2,e1)=e3),inference(rw,[status(thm)],[659,2652,theory(equality)])).
% cnf(2685,plain,(op(e3,e2)=e1|op(e2,e1)=e3),inference(rw,[status(thm)],[714,2652,theory(equality)])).
% cnf(2689,plain,(op(e2,e3)!=e2),inference(rw,[status(thm)],[181,2652,theory(equality)])).
% cnf(2690,plain,(op(e1,e4)!=e2),inference(rw,[status(thm)],[146,2652,theory(equality)])).
% cnf(2723,plain,(op(e2,e4)=e2|op(e2,e2)=e2|op(e2,e0)=e2),inference(sr,[status(thm)],[616,2689,theory(equality)])).
% cnf(2726,plain,(op(e1,e4)=e3|op(e1,e4)=e0),inference(sr,[status(thm)],[574,2690,theory(equality)])).
% cnf(2739,plain,(op(e2,e3)=e3|e3!=op(e4,e2)),inference(spm,[status(thm)],[118,2669,theory(equality)])).
% cnf(2756,plain,(op(e2,e3)=e3|e1!=op(e2,e1)),inference(spm,[status(thm)],[198,2671,theory(equality)])).
% cnf(2777,plain,(op(e0,e4)=e0|e4!=op(e2,e0)),inference(spm,[status(thm)],[143,2527,theory(equality)])).
% cnf(2827,plain,(op(e2,e1)=e3|e1!=op(e1,e2)),inference(spm,[status(thm)],[190,2685,theory(equality)])).
% cnf(2921,plain,(op(e1,e4)=e0|e3!=op(e1,e2)),inference(spm,[status(thm)],[147,2726,theory(equality)])).
% cnf(2924,plain,(op(e3,e0)=e4|op(e1,e4)=e0),inference(spm,[status(thm)],[354,2726,theory(equality)])).
% cnf(3158,negated_conjecture,(op(e1,e4)=e3|e0=e3|epred2_0|op(e0,e4)=e0),inference(spm,[status(thm)],[897,1685,theory(equality)])).
% cnf(3163,negated_conjecture,(op(e1,e4)=e3|epred2_0|op(e0,e4)=e0),inference(sr,[status(thm)],[3158,227,theory(equality)])).
% cnf(3406,negated_conjecture,(op(e1,e4)=e3|epred2_0),inference(csr,[status(thm)],[3163,241])).
% cnf(3414,negated_conjecture,(op(e3,e0)=e4|epred2_0),inference(spm,[status(thm)],[354,3406,theory(equality)])).
% cnf(3434,negated_conjecture,(op(e4,e0)=e2|epred2_0),inference(spm,[status(thm)],[946,3414,theory(equality)])).
% cnf(3448,negated_conjecture,(op(op(e0,e4),e2)=e4|epred2_0),inference(spm,[status(thm)],[95,3434,theory(equality)])).
% cnf(3508,negated_conjecture,(op(e4,e2)=e4|epred2_0|op(e0,e4)=e0),inference(spm,[status(thm)],[3448,639,theory(equality)])).
% cnf(3775,negated_conjecture,(op(e2,e3)=e4|op(e3,e1)=e3|epred2_0),inference(spm,[status(thm)],[2516,1007,theory(equality)])).
% cnf(3783,negated_conjecture,(op(e2,e1)=e1|e3=e1|op(e2,e3)=e4|epred2_0),inference(spm,[status(thm)],[482,3775,theory(equality)])).
% cnf(3787,negated_conjecture,(op(e2,e1)=e1|op(e2,e3)=e4|epred2_0),inference(sr,[status(thm)],[3783,224,theory(equality)])).
% cnf(3791,negated_conjecture,(op(e2,e3)=e4|epred2_0),inference(csr,[status(thm)],[3787,1356])).
% cnf(3798,negated_conjecture,(op(e2,e1)=e3|e4=e3|epred2_0),inference(spm,[status(thm)],[2676,3791,theory(equality)])).
% cnf(3803,negated_conjecture,(op(e2,e1)=e3|epred2_0),inference(sr,[status(thm)],[3798,220,theory(equality)])).
% cnf(3819,negated_conjecture,(op(e3,e1)=e1|epred2_0),inference(spm,[status(thm)],[822,3803,theory(equality)])).
% cnf(3918,negated_conjecture,(op(e0,e4)=e4|op(e2,e4)=e4|epred2_0),inference(spm,[status(thm)],[882,3414,theory(equality)])).
% cnf(4000,plain,(op(e2,e3)=e3|op(e1,e0)=e0),inference(spm,[status(thm)],[2756,1353,theory(equality)])).
% cnf(4029,plain,(op(e4,e2)=e3|op(e1,e0)=e0),inference(spm,[status(thm)],[994,4000,theory(equality)])).
% cnf(4082,plain,(op(e1,e0)=e0|e3!=op(e3,e2)),inference(spm,[status(thm)],[186,4029,theory(equality)])).
% cnf(4158,plain,(op(e2,e1)=e3|op(e1,e0)=e1),inference(spm,[status(thm)],[2827,2269,theory(equality)])).
% cnf(4172,plain,(op(e3,e1)=e1|op(e1,e0)=e1),inference(spm,[status(thm)],[822,4158,theory(equality)])).
% cnf(4828,plain,(op(e4,e0)=e2|op(e1,e4)=e0),inference(spm,[status(thm)],[946,2924,theory(equality)])).
% cnf(4837,plain,(op(e1,e4)=e0|e2!=op(e2,e0)),inference(spm,[status(thm)],[207,4828,theory(equality)])).
% cnf(5688,negated_conjecture,(op(e4,e4)=e2|epred4_0|op(e1,e4)=e3),inference(spm,[status(thm)],[1885,2352,theory(equality)])).
% cnf(5716,negated_conjecture,(e1=e2|epred4_0|op(e1,e4)=e3),inference(rw,[status(thm)],[5688,218,theory(equality)])).
% cnf(5717,negated_conjecture,(epred4_0|op(e1,e4)=e3),inference(sr,[status(thm)],[5716,225,theory(equality)])).
% cnf(5738,negated_conjecture,(op(e3,e1)=e3|op(e3,e2)=e3|epred4_0),inference(spm,[status(thm)],[1009,5717,theory(equality)])).
% cnf(5805,negated_conjecture,(op(e3,e1)=e3|epred4_0),inference(csr,[status(thm)],[5738,1281])).
% cnf(5811,negated_conjecture,(op(e3,e2)=e1|epred4_0),inference(spm,[status(thm)],[2672,5805,theory(equality)])).
% cnf(5855,negated_conjecture,(epred4_0|e1!=op(e3,e1)),inference(spm,[status(thm)],[131,5811,theory(equality)])).
% cnf(6290,negated_conjecture,(op(e4,e2)=e4|epred2_0),inference(csr,[status(thm)],[3508,241])).
% cnf(6299,negated_conjecture,(op(op(e2,e4),e4)=e4|epred2_0),inference(spm,[status(thm)],[93,6290,theory(equality)])).
% cnf(6386,negated_conjecture,(op(e4,e4)=e4|epred2_0|op(e0,e4)=e4),inference(spm,[status(thm)],[6299,3918,theory(equality)])).
% cnf(6394,negated_conjecture,(e1=e4|epred2_0|op(e0,e4)=e4),inference(rw,[status(thm)],[6386,218,theory(equality)])).
% cnf(6395,negated_conjecture,(epred2_0|op(e0,e4)=e4),inference(sr,[status(thm)],[6394,223,theory(equality)])).
% cnf(6970,plain,(op(e3,e0)=e4|op(e0,e4)=e0),inference(csr,[status(thm)],[1377,2777])).
% cnf(6977,plain,(op(e1,e4)=e3|op(e0,e4)=e0),inference(spm,[status(thm)],[2242,6970,theory(equality)])).
% cnf(7034,plain,(op(e1,e4)=e3|e0!=op(e1,e4)),inference(spm,[status(thm)],[175,6977,theory(equality)])).
% cnf(7207,plain,(op(e1,e4)=e3),inference(csr,[status(thm)],[7034,2726])).
% cnf(7209,plain,(e3=e0|op(e4,e0)=e2),inference(rw,[status(thm)],[4828,7207,theory(equality)])).
% cnf(7210,plain,(op(e4,e0)=e2),inference(sr,[status(thm)],[7209,227,theory(equality)])).
% cnf(7215,plain,(e3=e0|op(e2,e0)!=e2),inference(rw,[status(thm)],[4837,7207,theory(equality)])).
% cnf(7216,plain,(op(e2,e0)!=e2),inference(sr,[status(thm)],[7215,227,theory(equality)])).
% cnf(7221,plain,(e3=e0|op(e3,e0)=e4),inference(rw,[status(thm)],[2924,7207,theory(equality)])).
% cnf(7222,plain,(op(e3,e0)=e4),inference(sr,[status(thm)],[7221,227,theory(equality)])).
% cnf(7223,plain,(op(e3,e1)=e3|op(e3,e2)=e3|$false),inference(rw,[status(thm)],[1009,7207,theory(equality)])).
% cnf(7224,plain,(op(e3,e1)=e3|op(e3,e2)=e3),inference(cn,[status(thm)],[7223,theory(equality)])).
% cnf(7242,plain,(e3=e0|op(e1,e2)!=e3),inference(rw,[status(thm)],[2921,7207,theory(equality)])).
% cnf(7243,plain,(op(e1,e2)!=e3),inference(sr,[status(thm)],[7242,227,theory(equality)])).
% cnf(7247,plain,(op(e3,e4)!=e3),inference(rw,[status(thm)],[170,7207,theory(equality)])).
% cnf(7269,plain,(op(e4,e2)=e4|e2=e4|op(e2,e3)!=e4),inference(rw,[status(thm)],[995,7210,theory(equality)])).
% cnf(7270,plain,(op(e4,e2)=e4|op(e2,e3)!=e4),inference(sr,[status(thm)],[7269,221,theory(equality)])).
% cnf(7278,plain,(op(op(e3,e4),e4)=e4|op(e4,e2)=e4|e2=e4),inference(rw,[status(thm)],[762,7210,theory(equality)])).
% cnf(7279,plain,(op(op(e3,e4),e4)=e4|op(e4,e2)=e4),inference(sr,[status(thm)],[7278,221,theory(equality)])).
% cnf(7296,plain,(op(e4,e2)!=e2),inference(rw,[status(thm)],[124,7210,theory(equality)])).
% cnf(7325,plain,(op(e3,e4)=e2|op(e3,e4)=e3|$false),inference(rw,[status(thm)],[922,7222,theory(equality)])).
% cnf(7326,plain,(op(e3,e4)=e2|op(e3,e4)=e3),inference(cn,[status(thm)],[7325,theory(equality)])).
% cnf(7330,plain,(op(e0,e4)=e4|op(e2,e4)=e4|$false),inference(rw,[status(thm)],[882,7222,theory(equality)])).
% cnf(7331,plain,(op(e0,e4)=e4|op(e2,e4)=e4),inference(cn,[status(thm)],[7330,theory(equality)])).
% cnf(7386,plain,(op(e2,e2)=e2|op(e2,e4)=e2),inference(sr,[status(thm)],[2723,7216,theory(equality)])).
% cnf(7394,plain,(op(e4,e2)=e3|op(e3,e2)=e3|op(e2,e2)=e3),inference(sr,[status(thm)],[628,7243,theory(equality)])).
% cnf(7438,plain,(op(op(e2,e3),e3)=e3|op(e3,e1)=e3),inference(spm,[status(thm)],[98,7224,theory(equality)])).
% cnf(7440,plain,(op(e2,e3)=e4|op(e3,e1)=e3),inference(spm,[status(thm)],[2516,7224,theory(equality)])).
% cnf(7447,plain,(op(e1,e0)=e0|op(e3,e1)=e3),inference(spm,[status(thm)],[4082,7224,theory(equality)])).
% cnf(7480,plain,(op(op(e2,e4),e4)=e4|op(e4,e2)=e3),inference(sr,[status(thm)],[773,7296,theory(equality)])).
% cnf(7601,plain,(op(e3,e4)=e2),inference(sr,[status(thm)],[7326,7247,theory(equality)])).
% cnf(7611,plain,(op(e2,e4)=e4|op(e4,e2)=e4),inference(rw,[status(thm)],[7279,7601,theory(equality)])).
% cnf(7626,plain,(e2!=op(e2,e4)),inference(rw,[status(thm)],[168,7601,theory(equality)])).
% cnf(7706,plain,(op(e4,op(e4,e2))=e4|op(e0,e4)=e4),inference(spm,[status(thm)],[93,7331,theory(equality)])).
% cnf(7754,plain,(op(e1,e0)=e1|e3=e1|op(e2,e3)=e4),inference(spm,[status(thm)],[4172,7440,theory(equality)])).
% cnf(7761,plain,(op(e1,e0)=e1|op(e2,e3)=e4),inference(sr,[status(thm)],[7754,224,theory(equality)])).
% cnf(7762,plain,(op(e2,e2)=e2),inference(sr,[status(thm)],[7386,7626,theory(equality)])).
% cnf(7803,plain,(epred3_0|$false|op(e3,e1)!=e1|~epred4_0),inference(rw,[status(thm)],[338,7762,theory(equality)])).
% cnf(7804,plain,(epred3_0|op(e3,e1)!=e1|~epred4_0),inference(cn,[status(thm)],[7803,theory(equality)])).
% cnf(7805,plain,(epred1_0|$false|op(e4,e3)!=e4|~epred2_0),inference(rw,[status(thm)],[281,7762,theory(equality)])).
% cnf(7806,plain,(epred1_0|op(e4,e3)!=e4|~epred2_0),inference(cn,[status(thm)],[7805,theory(equality)])).
% cnf(7989,plain,(epred3_0|op(e3,e1)!=e1),inference(csr,[status(thm)],[7804,5855])).
% cnf(7990,plain,(epred3_0|op(e2,e3)=e3),inference(spm,[status(thm)],[7989,2671,theory(equality)])).
% cnf(7996,negated_conjecture,(epred3_0|epred2_0),inference(spm,[status(thm)],[7989,3819,theory(equality)])).
% cnf(8016,plain,(op(e4,e2)=e3|epred3_0),inference(spm,[status(thm)],[994,7990,theory(equality)])).
% cnf(8043,negated_conjecture,(epred1_0|epred3_0|op(e4,e3)!=e4),inference(spm,[status(thm)],[7806,7996,theory(equality)])).
% cnf(8080,plain,(op(e4,e2)=e3|op(e3,e2)=e3|e2=e3),inference(rw,[status(thm)],[7394,7762,theory(equality)])).
% cnf(8081,plain,(op(e4,e2)=e3|op(e3,e2)=e3),inference(sr,[status(thm)],[8080,222,theory(equality)])).
% cnf(8284,plain,(op(e1,e0)=e0|e4=e3|op(e2,e4)=e4),inference(spm,[status(thm)],[4029,7611,theory(equality)])).
% cnf(8301,plain,(op(e1,e0)=e0|op(e2,e4)=e4),inference(sr,[status(thm)],[8284,220,theory(equality)])).
% cnf(8393,plain,(op(e4,e4)=e4|op(e4,e2)=e3|op(e0,e4)=e4),inference(spm,[status(thm)],[7480,7331,theory(equality)])).
% cnf(8402,plain,(e1=e4|op(e4,e2)=e3|op(e0,e4)=e4),inference(rw,[status(thm)],[8393,218,theory(equality)])).
% cnf(8403,plain,(op(e4,e2)=e3|op(e0,e4)=e4),inference(sr,[status(thm)],[8402,223,theory(equality)])).
% cnf(8428,plain,(epred3_0|e3!=op(e3,e2)),inference(spm,[status(thm)],[186,8016,theory(equality)])).
% cnf(8435,plain,(e3=e4|op(e2,e4)=e4|epred3_0),inference(spm,[status(thm)],[7611,8016,theory(equality)])).
% cnf(8450,plain,(op(e2,e4)=e4|epred3_0),inference(sr,[status(thm)],[8435,220,theory(equality)])).
% cnf(8861,plain,(epred3_0|e4!=op(e2,e3)),inference(spm,[status(thm)],[136,8450,theory(equality)])).
% cnf(9041,plain,(epred3_0|op(e3,e1)=e3),inference(spm,[status(thm)],[8428,7224,theory(equality)])).
% cnf(9643,negated_conjecture,(epred3_0|epred1_0|op(e2,e3)=e4),inference(spm,[status(thm)],[8043,2236,theory(equality)])).
% cnf(10066,negated_conjecture,(epred3_0|epred1_0),inference(csr,[status(thm)],[9643,8861])).
% cnf(10067,plain,(epred1_0|op(e0,e4)!=e4|op(e1,e0)!=e0),inference(spm,[status(thm)],[302,10066,theory(equality)])).
% cnf(10109,plain,(op(e4,e2)=e4|op(e1,e0)=e1),inference(spm,[status(thm)],[7270,7761,theory(equality)])).
% cnf(12012,plain,(op(e1,e0)=e0|e4!=op(e0,e4)),inference(spm,[status(thm)],[174,8301,theory(equality)])).
% cnf(12230,plain,(op(e2,e3)=e3|op(e0,e4)=e4),inference(spm,[status(thm)],[2739,8403,theory(equality)])).
% cnf(12907,plain,(op(e3,e2)=e3|e4=e3|op(e1,e0)=e1),inference(spm,[status(thm)],[8081,10109,theory(equality)])).
% cnf(12941,plain,(op(e3,e2)=e3|op(e1,e0)=e1),inference(sr,[status(thm)],[12907,220,theory(equality)])).
% cnf(13540,plain,(op(e1,e0)=e1|e3!=op(e3,e1)),inference(spm,[status(thm)],[131,12941,theory(equality)])).
% cnf(13953,plain,(op(e3,e3)=e3|op(e3,e1)=e3|op(e0,e4)=e4),inference(spm,[status(thm)],[7438,12230,theory(equality)])).
% cnf(13966,plain,(e0=e3|op(e3,e1)=e3|op(e0,e4)=e4),inference(rw,[status(thm)],[13953,373,theory(equality)])).
% cnf(13967,plain,(op(e3,e1)=e3|op(e0,e4)=e4),inference(sr,[status(thm)],[13966,227,theory(equality)])).
% cnf(14356,plain,(op(e4,e3)=e4|op(e0,e4)=e4),inference(spm,[status(thm)],[7706,8403,theory(equality)])).
% cnf(16795,plain,(epred1_0|op(e0,e4)!=e4),inference(csr,[status(thm)],[10067,12012])).
% cnf(16805,negated_conjecture,(epred1_0|epred2_0),inference(spm,[status(thm)],[16795,6395,theory(equality)])).
% cnf(16809,plain,(epred1_0|op(e4,e3)!=e4),inference(spm,[status(thm)],[7806,16805,theory(equality)])).
% cnf(17662,plain,(epred1_0|op(e0,e4)=e4),inference(spm,[status(thm)],[16809,14356,theory(equality)])).
% cnf(18063,plain,(epred1_0),inference(csr,[status(thm)],[17662,16795])).
% cnf(18086,plain,(op(e1,e0)!=e1|op(e3,e1)!=e3|$false),inference(rw,[status(thm)],[260,18063,theory(equality)])).
% cnf(18087,plain,(op(e1,e0)!=e1|op(e3,e1)!=e3),inference(cn,[status(thm)],[18086,theory(equality)])).
% cnf(18091,plain,(op(e3,e1)!=e3),inference(csr,[status(thm)],[18087,13540])).
% cnf(18106,plain,(epred3_0),inference(sr,[status(thm)],[9041,18091,theory(equality)])).
% cnf(18107,plain,(op(e1,e0)=e0),inference(sr,[status(thm)],[7447,18091,theory(equality)])).
% cnf(18112,plain,(op(e0,e4)=e4),inference(sr,[status(thm)],[13967,18091,theory(equality)])).
% cnf(18206,plain,(op(e0,e4)!=e4|op(e1,e0)!=e0|$false),inference(rw,[status(thm)],[302,18106,theory(equality)])).
% cnf(18207,plain,(op(e0,e4)!=e4|op(e1,e0)!=e0),inference(cn,[status(thm)],[18206,theory(equality)])).
% cnf(18934,plain,($false|op(e1,e0)!=e0),inference(rw,[status(thm)],[18207,18112,theory(equality)])).
% cnf(18935,plain,($false|$false),inference(rw,[status(thm)],[18934,18107,theory(equality)])).
% cnf(18936,plain,($false),inference(cn,[status(thm)],[18935,theory(equality)])).
% cnf(18937,plain,($false),18936,['proof']).
% # SZS output end CNFRefutation
% # Processed clauses                  : 7740
% # ...of these trivial                : 68
% # ...subsumed                        : 6265
% # ...remaining for further processing: 1407
% # Other redundant clauses eliminated : 0
% # Clauses deleted for lack of memory : 0
% # Backward-subsumed                  : 154
% # Backward-rewritten                 : 871
% # Generated clauses                  : 10968
% # ...of the previous two non-trivial : 10712
% # Contextual simplify-reflections    : 1293
% # Paramodulations                    : 10814
% # Factorizations                     : 65
% # Equation resolutions               : 0
% # Current number of processed clauses: 38
% #    Positive orientable unit clauses: 28
% #    Positive unorientable unit clauses: 0
% #    Negative unit clauses           : 10
% #    Non-unit-clauses                : 0
% # Current number of unprocessed clauses: 200
% # ...number of literals in the above : 245
% # Clause-clause subsumption calls (NU) : 19964
% # Rec. Clause-clause subsumption calls : 13330
% # Unit Clause-clause subsumption calls : 1684
% # Rewrite failures with RHS unbound  : 0
% # Indexed BW rewrite attempts        : 34
% # Indexed BW rewrite successes       : 34
% # Backwards rewriting index:    34 leaves,   1.00+/-0.000 terms/leaf
% # Paramod-from index:           28 leaves,   1.00+/-0.000 terms/leaf
% # Paramod-into index:           33 leaves,   1.00+/-0.000 terms/leaf
% # -------------------------------------------------
% # User time              : 0.496 s
% # System time            : 0.016 s
% # Total time             : 0.512 s
% # Maximum resident set size: 0 pages
% PrfWatch: 0.82 CPU 0.93 WC
% FINAL PrfWatch: 0.82 CPU 0.93 WC
% SZS output end Solution for /tmp/SystemOnTPTP1913/ALG170+1.tptp
% 
%------------------------------------------------------------------------------