TSTP Solution File: ALG170+1 by SInE---0.4
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- Process Solution
%------------------------------------------------------------------------------
% File : SInE---0.4
% Problem : ALG170+1 : TPTP v5.0.0. Released v2.7.0.
% Transfm : none
% Format : tptp:raw
% Command : Source/sine.py -e eprover -t %d %s
% Computer : art03.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 : Sat Dec 25 04:12:03 EST 2010
% Result : Theorem 1.27s
% Output : CNFRefutation 1.27s
% Verified :
% SZS Type : Refutation
% Derivation depth : 54
% Number of leaves : 11
% Syntax : Number of formulae : 496 ( 149 unt; 0 def)
% Number of atoms : 2279 (1983 equ)
% Maximal formula atoms : 250 ( 4 avg)
% Number of connectives : 2631 ( 848 ~;1268 |; 509 &)
% ( 0 <=>; 6 =>; 0 <=; 0 <~>)
% Maximal formula depth : 101 ( 4 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 6 ( 4 usr; 5 prp; 0-2 aty)
% Number of functors : 6 ( 6 usr; 5 con; 0-2 aty)
% Number of variables : 0 ( 0 sgn 0 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(1,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/tmp0K0404/sel_ALG170+1.p_1',ax2) ).
fof(2,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/tmp0K0404/sel_ALG170+1.p_1',ax3) ).
fof(3,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/tmp0K0404/sel_ALG170+1.p_1',ax1) ).
fof(4,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/tmp0K0404/sel_ALG170+1.p_1',ax6) ).
fof(5,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/tmp0K0404/sel_ALG170+1.p_1',ax4) ).
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/tmp0K0404/sel_ALG170+1.p_1',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/tmp0K0404/sel_ALG170+1.p_1',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(16,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)],[1]) ).
cnf(17,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)],[1]) ).
cnf(18,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)],[1]) ).
cnf(19,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)],[1]) ).
cnf(26,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)],[1]) ).
cnf(28,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)],[1]) ).
cnf(29,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)],[1]) ).
cnf(33,plain,
( op(e3,e4) = e1
| op(e3,e3) = e1
| op(e3,e2) = e1
| op(e3,e1) = e1
| op(e3,e0) = e1 ),
inference(split_conjunct,[status(thm)],[1]) ).
cnf(41,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)],[1]) ).
cnf(48,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)],[1]) ).
cnf(52,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)],[1]) ).
cnf(53,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)],[1]) ).
cnf(55,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)],[1]) ).
cnf(56,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)],[1]) ).
cnf(57,plain,
( op(e0,e4) = e4
| op(e0,e3) = e4
| op(e0,e2) = e4
| op(e0,e1) = e4
| op(e0,e0) = e4 ),
inference(split_conjunct,[status(thm)],[1]) ).
cnf(63,plain,
( op(e0,e4) = e1
| op(e0,e3) = e1
| op(e0,e2) = e1
| op(e0,e1) = e1
| op(e0,e0) = e1 ),
inference(split_conjunct,[status(thm)],[1]) ).
cnf(64,plain,
( op(e4,e0) = e0
| op(e3,e0) = e0
| op(e2,e0) = e0
| op(e1,e0) = e0
| op(e0,e0) = e0 ),
inference(split_conjunct,[status(thm)],[1]) ).
cnf(65,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)],[1]) ).
cnf(66,plain,
op(op(e4,e4),op(e4,e4)) = e4,
inference(split_conjunct,[status(thm)],[2]) ).
cnf(67,plain,
op(op(e3,e4),op(e4,e3)) = e4,
inference(split_conjunct,[status(thm)],[2]) ).
cnf(68,plain,
op(op(e2,e4),op(e4,e2)) = e4,
inference(split_conjunct,[status(thm)],[2]) ).
cnf(69,plain,
op(op(e1,e4),op(e4,e1)) = e4,
inference(split_conjunct,[status(thm)],[2]) ).
cnf(70,plain,
op(op(e0,e4),op(e4,e0)) = e4,
inference(split_conjunct,[status(thm)],[2]) ).
cnf(71,plain,
op(op(e4,e3),op(e3,e4)) = e3,
inference(split_conjunct,[status(thm)],[2]) ).
cnf(73,plain,
op(op(e2,e3),op(e3,e2)) = e3,
inference(split_conjunct,[status(thm)],[2]) ).
cnf(74,plain,
op(op(e1,e3),op(e3,e1)) = e3,
inference(split_conjunct,[status(thm)],[2]) ).
cnf(75,plain,
op(op(e0,e3),op(e3,e0)) = e3,
inference(split_conjunct,[status(thm)],[2]) ).
cnf(78,plain,
op(op(e2,e2),op(e2,e2)) = e2,
inference(split_conjunct,[status(thm)],[2]) ).
cnf(79,plain,
op(op(e1,e2),op(e2,e1)) = e2,
inference(split_conjunct,[status(thm)],[2]) ).
cnf(80,plain,
op(op(e0,e2),op(e2,e0)) = e2,
inference(split_conjunct,[status(thm)],[2]) ).
cnf(81,plain,
op(op(e4,e1),op(e1,e4)) = e1,
inference(split_conjunct,[status(thm)],[2]) ).
cnf(82,plain,
op(op(e3,e1),op(e1,e3)) = e1,
inference(split_conjunct,[status(thm)],[2]) ).
cnf(83,plain,
op(op(e2,e1),op(e1,e2)) = e1,
inference(split_conjunct,[status(thm)],[2]) ).
cnf(85,plain,
op(op(e0,e1),op(e1,e0)) = e1,
inference(split_conjunct,[status(thm)],[2]) ).
cnf(86,plain,
op(op(e4,e0),op(e0,e4)) = e0,
inference(split_conjunct,[status(thm)],[2]) ).
cnf(87,plain,
op(op(e3,e0),op(e0,e3)) = e0,
inference(split_conjunct,[status(thm)],[2]) ).
cnf(90,plain,
op(op(e0,e0),op(e0,e0)) = e0,
inference(split_conjunct,[status(thm)],[2]) ).
cnf(92,plain,
( op(e4,e3) = e4
| op(e4,e3) = e3
| op(e4,e3) = e2
| op(e4,e3) = e1
| op(e4,e3) = e0 ),
inference(split_conjunct,[status(thm)],[3]) ).
cnf(95,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)],[3]) ).
cnf(96,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)],[3]) ).
cnf(99,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)],[3]) ).
cnf(102,plain,
( op(e2,e3) = e4
| op(e2,e3) = e3
| op(e2,e3) = e2
| op(e2,e3) = e1
| op(e2,e3) = e0 ),
inference(split_conjunct,[status(thm)],[3]) ).
cnf(103,plain,
( op(e2,e2) = e4
| op(e2,e2) = e3
| op(e2,e2) = e2
| op(e2,e2) = e1
| op(e2,e2) = e0 ),
inference(split_conjunct,[status(thm)],[3]) ).
cnf(106,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)],[3]) ).
cnf(107,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)],[3]) ).
cnf(111,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)],[3]) ).
cnf(112,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)],[3]) ).
cnf(116,plain,
e3 = op(op(e4,op(e4,e4)),op(e4,op(e4,e4))),
inference(split_conjunct,[status(thm)],[4]) ).
cnf(117,plain,
e2 = op(op(e4,op(e4,e4)),op(e4,e4)),
inference(split_conjunct,[status(thm)],[4]) ).
cnf(118,plain,
e1 = op(e4,e4),
inference(split_conjunct,[status(thm)],[4]) ).
cnf(119,plain,
e0 = op(e4,op(e4,e4)),
inference(split_conjunct,[status(thm)],[4]) ).
cnf(120,plain,
op(e4,e3) != op(e4,e4),
inference(split_conjunct,[status(thm)],[5]) ).
cnf(122,plain,
op(e4,e2) != op(e4,e3),
inference(split_conjunct,[status(thm)],[5]) ).
cnf(124,plain,
op(e4,e1) != op(e4,e3),
inference(split_conjunct,[status(thm)],[5]) ).
cnf(126,plain,
op(e4,e0) != op(e4,e4),
inference(split_conjunct,[status(thm)],[5]) ).
cnf(129,plain,
op(e4,e0) != op(e4,e1),
inference(split_conjunct,[status(thm)],[5]) ).
cnf(130,plain,
op(e3,e3) != op(e3,e4),
inference(split_conjunct,[status(thm)],[5]) ).
cnf(135,plain,
op(e3,e1) != op(e3,e2),
inference(split_conjunct,[status(thm)],[5]) ).
cnf(136,plain,
op(e3,e0) != op(e3,e4),
inference(split_conjunct,[status(thm)],[5]) ).
cnf(137,plain,
op(e3,e0) != op(e3,e3),
inference(split_conjunct,[status(thm)],[5]) ).
cnf(140,plain,
op(e2,e3) != op(e2,e4),
inference(split_conjunct,[status(thm)],[5]) ).
cnf(141,plain,
op(e2,e2) != op(e2,e4),
inference(split_conjunct,[status(thm)],[5]) ).
cnf(143,plain,
op(e2,e1) != op(e2,e4),
inference(split_conjunct,[status(thm)],[5]) ).
cnf(144,plain,
op(e2,e1) != op(e2,e3),
inference(split_conjunct,[status(thm)],[5]) ).
cnf(147,plain,
op(e2,e0) != op(e2,e3),
inference(split_conjunct,[status(thm)],[5]) ).
cnf(149,plain,
op(e2,e0) != op(e2,e1),
inference(split_conjunct,[status(thm)],[5]) ).
cnf(150,plain,
op(e1,e3) != op(e1,e4),
inference(split_conjunct,[status(thm)],[5]) ).
cnf(153,plain,
op(e1,e1) != op(e1,e4),
inference(split_conjunct,[status(thm)],[5]) ).
cnf(154,plain,
op(e1,e1) != op(e1,e3),
inference(split_conjunct,[status(thm)],[5]) ).
cnf(159,plain,
op(e1,e0) != op(e1,e1),
inference(split_conjunct,[status(thm)],[5]) ).
cnf(160,plain,
op(e0,e3) != op(e0,e4),
inference(split_conjunct,[status(thm)],[5]) ).
cnf(161,plain,
op(e0,e2) != op(e0,e4),
inference(split_conjunct,[status(thm)],[5]) ).
cnf(162,plain,
op(e0,e2) != op(e0,e3),
inference(split_conjunct,[status(thm)],[5]) ).
cnf(163,plain,
op(e0,e1) != op(e0,e4),
inference(split_conjunct,[status(thm)],[5]) ).
cnf(164,plain,
op(e0,e1) != op(e0,e3),
inference(split_conjunct,[status(thm)],[5]) ).
cnf(166,plain,
op(e0,e0) != op(e0,e4),
inference(split_conjunct,[status(thm)],[5]) ).
cnf(167,plain,
op(e0,e0) != op(e0,e3),
inference(split_conjunct,[status(thm)],[5]) ).
cnf(170,plain,
op(e3,e4) != op(e4,e4),
inference(split_conjunct,[status(thm)],[5]) ).
cnf(172,plain,
op(e2,e4) != op(e3,e4),
inference(split_conjunct,[status(thm)],[5]) ).
cnf(173,plain,
op(e1,e4) != op(e4,e4),
inference(split_conjunct,[status(thm)],[5]) ).
cnf(174,plain,
op(e1,e4) != op(e3,e4),
inference(split_conjunct,[status(thm)],[5]) ).
cnf(176,plain,
op(e0,e4) != op(e4,e4),
inference(split_conjunct,[status(thm)],[5]) ).
cnf(178,plain,
op(e0,e4) != op(e2,e4),
inference(split_conjunct,[status(thm)],[5]) ).
cnf(179,plain,
op(e0,e4) != op(e1,e4),
inference(split_conjunct,[status(thm)],[5]) ).
cnf(181,plain,
op(e2,e3) != op(e4,e3),
inference(split_conjunct,[status(thm)],[5]) ).
cnf(182,plain,
op(e2,e3) != op(e3,e3),
inference(split_conjunct,[status(thm)],[5]) ).
cnf(183,plain,
op(e1,e3) != op(e4,e3),
inference(split_conjunct,[status(thm)],[5]) ).
cnf(184,plain,
op(e1,e3) != op(e3,e3),
inference(split_conjunct,[status(thm)],[5]) ).
cnf(185,plain,
op(e1,e3) != op(e2,e3),
inference(split_conjunct,[status(thm)],[5]) ).
cnf(187,plain,
op(e0,e3) != op(e3,e3),
inference(split_conjunct,[status(thm)],[5]) ).
cnf(188,plain,
op(e0,e3) != op(e2,e3),
inference(split_conjunct,[status(thm)],[5]) ).
cnf(189,plain,
op(e0,e3) != op(e1,e3),
inference(split_conjunct,[status(thm)],[5]) ).
cnf(190,plain,
op(e3,e2) != op(e4,e2),
inference(split_conjunct,[status(thm)],[5]) ).
cnf(194,plain,
op(e1,e2) != op(e3,e2),
inference(split_conjunct,[status(thm)],[5]) ).
cnf(196,plain,
op(e0,e2) != op(e4,e2),
inference(split_conjunct,[status(thm)],[5]) ).
cnf(200,plain,
op(e3,e1) != op(e4,e1),
inference(split_conjunct,[status(thm)],[5]) ).
cnf(202,plain,
op(e2,e1) != op(e3,e1),
inference(split_conjunct,[status(thm)],[5]) ).
cnf(204,plain,
op(e1,e1) != op(e3,e1),
inference(split_conjunct,[status(thm)],[5]) ).
cnf(207,plain,
op(e0,e1) != op(e3,e1),
inference(split_conjunct,[status(thm)],[5]) ).
cnf(208,plain,
op(e0,e1) != op(e2,e1),
inference(split_conjunct,[status(thm)],[5]) ).
cnf(210,plain,
op(e3,e0) != op(e4,e0),
inference(split_conjunct,[status(thm)],[5]) ).
cnf(211,plain,
op(e2,e0) != op(e4,e0),
inference(split_conjunct,[status(thm)],[5]) ).
cnf(215,plain,
op(e1,e0) != op(e2,e0),
inference(split_conjunct,[status(thm)],[5]) ).
cnf(216,plain,
op(e0,e0) != op(e4,e0),
inference(split_conjunct,[status(thm)],[5]) ).
cnf(217,plain,
op(e0,e0) != op(e3,e0),
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)],[119,118,theory(equality)]) ).
cnf(357,plain,
e0 != op(e3,e1),
inference(rw,[status(thm)],[200,352,theory(equality)]) ).
cnf(358,plain,
op(e4,e0) != e0,
inference(rw,[status(thm)],[129,352,theory(equality)]) ).
cnf(360,plain,
op(e4,e3) != e0,
inference(rw,[status(thm)],[124,352,theory(equality)]) ).
cnf(361,plain,
e1 != op(e0,e4),
inference(rw,[status(thm)],[176,118,theory(equality)]) ).
cnf(362,plain,
e1 != op(e1,e4),
inference(rw,[status(thm)],[173,118,theory(equality)]) ).
cnf(363,plain,
op(op(e1,e4),e0) = e4,
inference(rw,[status(thm)],[69,352,theory(equality)]) ).
cnf(365,plain,
e1 != op(e3,e4),
inference(rw,[status(thm)],[170,118,theory(equality)]) ).
cnf(366,plain,
e1 != op(e4,e0),
inference(rw,[status(thm)],[126,118,theory(equality)]) ).
cnf(370,plain,
e1 != op(e4,e3),
inference(rw,[status(thm)],[120,118,theory(equality)]) ).
cnf(372,plain,
op(e0,op(e1,e4)) = e1,
inference(rw,[status(thm)],[81,352,theory(equality)]) ).
cnf(373,plain,
op(e1,e1) = e4,
inference(rw,[status(thm)],[inference(rw,[status(thm)],[66,118,theory(equality)]),118,theory(equality)]) ).
cnf(377,plain,
op(e3,e1) != e4,
inference(rw,[status(thm)],[204,373,theory(equality)]) ).
cnf(379,plain,
op(e1,e4) != e4,
inference(rw,[status(thm)],[153,373,theory(equality)]) ).
cnf(380,plain,
op(e1,e3) != e4,
inference(rw,[status(thm)],[154,373,theory(equality)]) ).
cnf(382,plain,
op(e1,e0) != e4,
inference(rw,[status(thm)],[159,373,theory(equality)]) ).
cnf(389,plain,
op(e0,e1) = e2,
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[117,118,theory(equality)]),352,theory(equality)]),118,theory(equality)]) ).
cnf(391,plain,
op(e2,op(e1,e0)) = e1,
inference(rw,[status(thm)],[85,389,theory(equality)]) ).
cnf(393,plain,
op(e3,e1) != e2,
inference(rw,[status(thm)],[207,389,theory(equality)]) ).
cnf(394,plain,
op(e2,e1) != e2,
inference(rw,[status(thm)],[208,389,theory(equality)]) ).
cnf(395,plain,
op(e0,e4) != e2,
inference(rw,[status(thm)],[163,389,theory(equality)]) ).
cnf(396,plain,
op(e0,e3) != e2,
inference(rw,[status(thm)],[164,389,theory(equality)]) ).
cnf(411,plain,
( op(e0,e0) = e0
| e2 = e0
| op(e0,e2) = e0
| op(e0,e3) = e0
| op(e0,e4) = e0 ),
inference(rw,[status(thm)],[65,389,theory(equality)]) ).
cnf(412,plain,
( op(e0,e0) = e0
| op(e0,e2) = e0
| op(e0,e3) = e0
| op(e0,e4) = e0 ),
inference(sr,[status(thm)],[411,228,theory(equality)]) ).
cnf(421,plain,
( op(e0,e0) = e0
| op(e1,e0) = e0
| op(e2,e0) = e0
| op(e3,e0) = e0 ),
inference(sr,[status(thm)],[64,358,theory(equality)]) ).
cnf(428,plain,
( op(e0,e0) = e1
| e2 = e1
| op(e0,e2) = e1
| op(e0,e3) = e1
| op(e0,e4) = e1 ),
inference(rw,[status(thm)],[63,389,theory(equality)]) ).
cnf(429,plain,
( op(e0,e0) = e1
| op(e0,e2) = e1
| op(e0,e3) = e1
| op(e0,e4) = e1 ),
inference(sr,[status(thm)],[428,225,theory(equality)]) ).
cnf(430,plain,
( op(e0,e0) = e1
| op(e0,e2) = e1
| op(e0,e3) = e1 ),
inference(sr,[status(thm)],[429,361,theory(equality)]) ).
cnf(484,plain,
( op(e0,e0) = e4
| e2 = e4
| op(e0,e2) = e4
| op(e0,e3) = e4
| op(e0,e4) = e4 ),
inference(rw,[status(thm)],[57,389,theory(equality)]) ).
cnf(485,plain,
( op(e0,e0) = e4
| op(e0,e2) = e4
| op(e0,e3) = e4
| op(e0,e4) = e4 ),
inference(sr,[status(thm)],[484,221,theory(equality)]) ).
cnf(519,plain,
( e2 = e1
| op(e1,e1) = e1
| op(e2,e1) = e1
| op(e3,e1) = e1
| op(e4,e1) = e1 ),
inference(rw,[status(thm)],[52,389,theory(equality)]) ).
cnf(520,plain,
( e2 = e1
| e4 = e1
| op(e2,e1) = e1
| op(e3,e1) = e1
| op(e4,e1) = e1 ),
inference(rw,[status(thm)],[519,373,theory(equality)]) ).
cnf(521,plain,
( e2 = e1
| e4 = e1
| op(e2,e1) = e1
| op(e3,e1) = e1
| e0 = e1 ),
inference(rw,[status(thm)],[520,352,theory(equality)]) ).
cnf(522,plain,
( e4 = e1
| op(e2,e1) = e1
| op(e3,e1) = e1
| e0 = e1 ),
inference(sr,[status(thm)],[521,225,theory(equality)]) ).
cnf(523,plain,
( op(e2,e1) = e1
| op(e3,e1) = e1
| e0 = e1 ),
inference(sr,[status(thm)],[522,223,theory(equality)]) ).
cnf(524,plain,
( op(e2,e1) = e1
| op(e3,e1) = e1 ),
inference(sr,[status(thm)],[523,229,theory(equality)]) ).
cnf(526,plain,
( op(e1,op(e1,e3)) = e1
| op(e2,e1) = e1 ),
inference(spm,[status(thm)],[82,524,theory(equality)]) ).
cnf(535,plain,
( e2 = e3
| op(e1,e1) = e3
| op(e2,e1) = e3
| op(e3,e1) = e3
| op(e4,e1) = e3 ),
inference(rw,[status(thm)],[48,389,theory(equality)]) ).
cnf(536,plain,
( e2 = e3
| e4 = e3
| op(e2,e1) = e3
| op(e3,e1) = e3
| op(e4,e1) = e3 ),
inference(rw,[status(thm)],[535,373,theory(equality)]) ).
cnf(537,plain,
( e2 = e3
| e4 = e3
| op(e2,e1) = e3
| op(e3,e1) = e3
| e0 = e3 ),
inference(rw,[status(thm)],[536,352,theory(equality)]) ).
cnf(538,plain,
( e4 = e3
| op(e2,e1) = e3
| op(e3,e1) = e3
| e3 = e0 ),
inference(sr,[status(thm)],[537,222,theory(equality)]) ).
cnf(539,plain,
( op(e2,e1) = e3
| op(e3,e1) = e3
| e3 = e0 ),
inference(sr,[status(thm)],[538,220,theory(equality)]) ).
cnf(540,plain,
( op(e2,e1) = e3
| op(e3,e1) = e3 ),
inference(sr,[status(thm)],[539,227,theory(equality)]) ).
cnf(541,plain,
( op(op(e1,e3),e3) = e3
| op(e2,e1) = e3 ),
inference(spm,[status(thm)],[74,540,theory(equality)]) ).
cnf(542,plain,
( op(e3,op(e1,e3)) = e1
| op(e2,e1) = e3 ),
inference(spm,[status(thm)],[82,540,theory(equality)]) ).
cnf(545,plain,
( e3 = e1
| op(e2,e1) = e1
| op(e2,e1) = e3 ),
inference(spm,[status(thm)],[524,540,theory(equality)]) ).
cnf(546,plain,
( op(e2,e1) = e1
| op(e2,e1) = e3 ),
inference(sr,[status(thm)],[545,224,theory(equality)]) ).
cnf(682,plain,
( op(e0,e4) = e0
| op(e0,e4) = e2
| op(e0,e4) = e3
| op(e0,e4) = e4 ),
inference(sr,[status(thm)],[111,361,theory(equality)]) ).
cnf(712,plain,
op(e0,e0) = e3,
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[116,118,theory(equality)]),352,theory(equality)]),118,theory(equality)]),352,theory(equality)]) ).
cnf(713,plain,
op(e3,e3) = e0,
inference(rw,[status(thm)],[inference(rw,[status(thm)],[90,712,theory(equality)]),712,theory(equality)]) ).
cnf(714,plain,
op(e4,e0) != e3,
inference(rw,[status(thm)],[216,712,theory(equality)]) ).
cnf(715,plain,
op(e3,e0) != e3,
inference(rw,[status(thm)],[217,712,theory(equality)]) ).
cnf(718,plain,
op(e0,e4) != e3,
inference(rw,[status(thm)],[166,712,theory(equality)]) ).
cnf(719,plain,
op(e0,e3) != e3,
inference(rw,[status(thm)],[167,712,theory(equality)]) ).
cnf(721,plain,
( op(e4,e0) = e4
| op(e3,e0) = e4
| op(e2,e0) = e4
| op(e1,e0) = e4
| e3 = e4 ),
inference(rw,[status(thm)],[56,712,theory(equality)]) ).
cnf(722,plain,
( op(e4,e0) = e4
| op(e3,e0) = e4
| op(e2,e0) = e4
| op(e1,e0) = e4 ),
inference(sr,[status(thm)],[721,220,theory(equality)]) ).
cnf(723,plain,
( op(e0,e4) = e4
| op(e0,e3) = e4
| op(e0,e2) = e4
| e3 = e4 ),
inference(rw,[status(thm)],[485,712,theory(equality)]) ).
cnf(724,plain,
( op(e0,e4) = e4
| op(e0,e3) = e4
| op(e0,e2) = e4 ),
inference(sr,[status(thm)],[723,220,theory(equality)]) ).
cnf(731,plain,
( op(e0,e3) = e1
| op(e0,e2) = e1
| e3 = e1 ),
inference(rw,[status(thm)],[430,712,theory(equality)]) ).
cnf(732,plain,
( op(e0,e3) = e1
| op(e0,e2) = e1 ),
inference(sr,[status(thm)],[731,224,theory(equality)]) ).
cnf(733,plain,
( op(e3,e0) = e0
| op(e2,e0) = e0
| op(e1,e0) = e0
| e3 = e0 ),
inference(rw,[status(thm)],[421,712,theory(equality)]) ).
cnf(734,plain,
( op(e3,e0) = e0
| op(e2,e0) = e0
| op(e1,e0) = e0 ),
inference(sr,[status(thm)],[733,227,theory(equality)]) ).
cnf(735,plain,
( op(e0,e4) = e0
| op(e0,e3) = e0
| op(e0,e2) = e0
| e3 = e0 ),
inference(rw,[status(thm)],[412,712,theory(equality)]) ).
cnf(736,plain,
( op(e0,e4) = e0
| op(e0,e3) = e0
| op(e0,e2) = e0 ),
inference(sr,[status(thm)],[735,227,theory(equality)]) ).
cnf(763,plain,
( op(e0,e4) = e3
| op(e1,e4) = e3
| op(e2,e4) = e3
| op(e3,e4) = e3
| e1 = e3 ),
inference(rw,[status(thm)],[18,118,theory(equality)]) ).
cnf(764,plain,
( op(e0,e4) = e3
| op(e1,e4) = e3
| op(e2,e4) = e3
| op(e3,e4) = e3 ),
inference(sr,[status(thm)],[763,224,theory(equality)]) ).
cnf(780,plain,
( op(e0,e4) = e4
| op(e1,e4) = e4
| op(e2,e4) = e4
| op(e3,e4) = e4
| e1 = e4 ),
inference(rw,[status(thm)],[16,118,theory(equality)]) ).
cnf(781,plain,
( op(e0,e4) = e4
| op(e1,e4) = e4
| op(e2,e4) = e4
| op(e3,e4) = e4 ),
inference(sr,[status(thm)],[780,223,theory(equality)]) ).
cnf(803,plain,
( op(e1,e0) = e0
| e4 = e0
| op(e1,e2) = e0
| op(e1,e3) = e0
| op(e1,e4) = e0 ),
inference(rw,[status(thm)],[55,373,theory(equality)]) ).
cnf(804,plain,
( op(e1,e0) = e0
| op(e1,e2) = e0
| op(e1,e3) = e0
| op(e1,e4) = e0 ),
inference(sr,[status(thm)],[803,226,theory(equality)]) ).
cnf(816,plain,
( op(e1,e0) = e1
| e4 = e1
| op(e1,e2) = e1
| op(e1,e3) = e1
| op(e1,e4) = e1 ),
inference(rw,[status(thm)],[53,373,theory(equality)]) ).
cnf(817,plain,
( op(e1,e0) = e1
| op(e1,e2) = e1
| op(e1,e3) = e1
| op(e1,e4) = e1 ),
inference(sr,[status(thm)],[816,223,theory(equality)]) ).
cnf(819,plain,
( op(e0,e1) = e1
| op(e1,e3) = e1
| op(e1,e2) = e1
| op(e1,e0) = e1 ),
inference(spm,[status(thm)],[372,817,theory(equality)]) ).
cnf(826,plain,
( e2 = e1
| op(e1,e3) = e1
| op(e1,e2) = e1
| op(e1,e0) = e1 ),
inference(rw,[status(thm)],[819,389,theory(equality)]) ).
cnf(827,plain,
( op(e1,e3) = e1
| op(e1,e2) = e1
| op(e1,e0) = e1 ),
inference(sr,[status(thm)],[826,225,theory(equality)]) ).
cnf(977,plain,
( op(e4,e4) = e2
| op(e2,e2) = e3
| op(e2,e2) = e2
| op(e2,e2) = e1
| op(e2,e2) = e0 ),
inference(spm,[status(thm)],[78,103,theory(equality)]) ).
cnf(982,plain,
( e1 = e2
| op(e2,e2) = e3
| op(e2,e2) = e2
| op(e2,e2) = e1
| op(e2,e2) = e0 ),
inference(rw,[status(thm)],[977,118,theory(equality)]) ).
cnf(983,plain,
( op(e2,e2) = e3
| op(e2,e2) = e2
| op(e2,e2) = e1
| op(e2,e2) = e0 ),
inference(sr,[status(thm)],[982,225,theory(equality)]) ).
cnf(1044,plain,
( op(e3,e0) = e1
| op(e3,e1) = e1
| op(e3,e2) = e1
| op(e3,e3) = e1 ),
inference(sr,[status(thm)],[33,365,theory(equality)]) ).
cnf(1119,plain,
( op(e3,e1) = e1
| op(e3,e1) = e2
| op(e3,e1) = e3
| op(e3,e1) = e4 ),
inference(sr,[status(thm)],[99,357,theory(equality)]) ).
cnf(1165,plain,
( op(e3,e4) = e0
| op(e3,e4) = e2
| op(e3,e4) = e3
| op(e3,e4) = e4 ),
inference(sr,[status(thm)],[96,365,theory(equality)]) ).
cnf(1192,plain,
( op(e4,e0) = e1
| op(e4,e0) = e2
| op(e4,e0) = e3
| op(e4,e0) = e4 ),
inference(sr,[status(thm)],[95,358,theory(equality)]) ).
cnf(1193,plain,
( op(e4,e0) = e2
| op(e4,e0) = e3
| op(e4,e0) = e4 ),
inference(sr,[status(thm)],[1192,366,theory(equality)]) ).
cnf(1227,plain,
( op(e4,e0) = e3
| e0 = e3
| op(e4,e2) = e3
| op(e4,e3) = e3
| op(e4,e4) = e3 ),
inference(rw,[status(thm)],[19,352,theory(equality)]) ).
cnf(1228,plain,
( op(e4,e0) = e3
| e0 = e3
| op(e4,e2) = e3
| op(e4,e3) = e3
| e1 = e3 ),
inference(rw,[status(thm)],[1227,118,theory(equality)]) ).
cnf(1229,plain,
( op(e4,e0) = e3
| op(e4,e2) = e3
| op(e4,e3) = e3
| e3 = e1 ),
inference(sr,[status(thm)],[1228,227,theory(equality)]) ).
cnf(1230,plain,
( op(e4,e0) = e3
| op(e4,e2) = e3
| op(e4,e3) = e3 ),
inference(sr,[status(thm)],[1229,224,theory(equality)]) ).
cnf(1248,plain,
( op(e4,e0) = e4
| e0 = e4
| op(e4,e2) = e4
| op(e4,e3) = e4
| op(e4,e4) = e4 ),
inference(rw,[status(thm)],[17,352,theory(equality)]) ).
cnf(1249,plain,
( op(e4,e0) = e4
| e0 = e4
| op(e4,e2) = e4
| op(e4,e3) = e4
| e1 = e4 ),
inference(rw,[status(thm)],[1248,118,theory(equality)]) ).
cnf(1250,plain,
( op(e4,e0) = e4
| op(e4,e2) = e4
| op(e4,e3) = e4
| e4 = e1 ),
inference(sr,[status(thm)],[1249,226,theory(equality)]) ).
cnf(1251,plain,
( op(e4,e0) = e4
| op(e4,e2) = e4
| op(e4,e3) = e4 ),
inference(sr,[status(thm)],[1250,223,theory(equality)]) ).
cnf(1294,plain,
( op(e4,e3) = e1
| op(e4,e3) = e2
| op(e4,e3) = e3
| op(e4,e3) = e4 ),
inference(sr,[status(thm)],[92,360,theory(equality)]) ).
cnf(1295,plain,
( op(e4,e3) = e2
| op(e4,e3) = e3
| op(e4,e3) = e4 ),
inference(sr,[status(thm)],[1294,370,theory(equality)]) ).
cnf(1306,plain,
( op(e4,e3) = e3
| op(e4,e3) = e2
| e4 != op(e4,e2) ),
inference(spm,[status(thm)],[122,1295,theory(equality)]) ).
cnf(1325,plain,
op(e3,e4) != e0,
inference(rw,[status(thm)],[130,713,theory(equality)]) ).
cnf(1328,plain,
e0 != op(e3,e0),
inference(rw,[status(thm)],[137,713,theory(equality)]) ).
cnf(1329,plain,
e0 != op(e2,e3),
inference(rw,[status(thm)],[182,713,theory(equality)]) ).
cnf(1330,plain,
e0 != op(e1,e3),
inference(rw,[status(thm)],[184,713,theory(equality)]) ).
cnf(1331,plain,
e0 != op(e0,e3),
inference(rw,[status(thm)],[187,713,theory(equality)]) ).
cnf(1339,plain,
( op(e3,e4) = e3
| e0 = e3
| op(e3,e2) = e3
| op(e3,e1) = e3
| op(e3,e0) = e3 ),
inference(rw,[status(thm)],[29,713,theory(equality)]) ).
cnf(1340,plain,
( op(e3,e4) = e3
| op(e3,e2) = e3
| op(e3,e1) = e3
| op(e3,e0) = e3 ),
inference(sr,[status(thm)],[1339,227,theory(equality)]) ).
cnf(1343,plain,
( e0 = e1
| op(e3,e2) = e1
| op(e3,e1) = e1
| op(e3,e0) = e1 ),
inference(rw,[status(thm)],[1044,713,theory(equality)]) ).
cnf(1344,plain,
( op(e3,e2) = e1
| op(e3,e1) = e1
| op(e3,e0) = e1 ),
inference(sr,[status(thm)],[1343,229,theory(equality)]) ).
cnf(1346,plain,
( op(e4,e3) = e4
| e0 = e4
| op(e2,e3) = e4
| op(e1,e3) = e4
| op(e0,e3) = e4 ),
inference(rw,[status(thm)],[26,713,theory(equality)]) ).
cnf(1347,plain,
( op(e4,e3) = e4
| op(e2,e3) = e4
| op(e1,e3) = e4
| op(e0,e3) = e4 ),
inference(sr,[status(thm)],[1346,226,theory(equality)]) ).
cnf(1348,plain,
( op(e4,e3) = e3
| e0 = e3
| op(e2,e3) = e3
| op(e1,e3) = e3
| op(e0,e3) = e3 ),
inference(rw,[status(thm)],[28,713,theory(equality)]) ).
cnf(1349,plain,
( op(e4,e3) = e3
| op(e2,e3) = e3
| op(e1,e3) = e3
| op(e0,e3) = e3 ),
inference(sr,[status(thm)],[1348,227,theory(equality)]) ).
cnf(1367,plain,
( op(e3,e1) = e3
| op(e3,e1) = e2
| op(e3,e1) = e1 ),
inference(sr,[status(thm)],[1119,377,theory(equality)]) ).
cnf(1374,plain,
( op(e3,e4) = e4
| op(e2,e4) = e4
| op(e0,e4) = e4 ),
inference(sr,[status(thm)],[781,379,theory(equality)]) ).
cnf(1375,plain,
( op(e1,e4) = e3
| op(e1,e4) = e2
| op(e1,e4) = e1
| op(e1,e4) = e0 ),
inference(sr,[status(thm)],[106,379,theory(equality)]) ).
cnf(1376,plain,
( op(e1,e4) = e3
| op(e1,e4) = e2
| op(e1,e4) = e0 ),
inference(sr,[status(thm)],[1375,362,theory(equality)]) ).
cnf(1377,plain,
( op(e1,e3) = e3
| op(e1,e3) = e2
| op(e1,e3) = e1
| op(e1,e3) = e0 ),
inference(sr,[status(thm)],[107,380,theory(equality)]) ).
cnf(1384,plain,
( op(e2,e4) = e2
| op(e2,e3) = e2
| op(e2,e2) = e2
| op(e2,e0) = e2 ),
inference(sr,[status(thm)],[41,394,theory(equality)]) ).
cnf(1385,plain,
( op(e0,e4) = e4
| op(e0,e4) = e3
| op(e0,e4) = e0 ),
inference(sr,[status(thm)],[682,395,theory(equality)]) ).
cnf(1387,plain,
( op(e0,e3) = e4
| op(e0,e3) = e3
| op(e0,e3) = e1
| op(e0,e3) = e0 ),
inference(sr,[status(thm)],[112,396,theory(equality)]) ).
cnf(1391,plain,
( op(e4,e0) = e4
| op(e4,e0) = e2 ),
inference(sr,[status(thm)],[1193,714,theory(equality)]) ).
cnf(1392,plain,
( op(e4,e3) = e3
| op(e4,e2) = e3 ),
inference(sr,[status(thm)],[1230,714,theory(equality)]) ).
cnf(1397,plain,
( op(e3,e4) = e3
| op(e2,e4) = e3
| op(e1,e4) = e3 ),
inference(sr,[status(thm)],[764,718,theory(equality)]) ).
cnf(1400,plain,
( op(e3,e4) = e4
| op(e3,e4) = e3
| op(e3,e4) = e2 ),
inference(sr,[status(thm)],[1165,1325,theory(equality)]) ).
cnf(1406,plain,
( op(e2,e3) = e4
| op(e2,e3) = e3
| op(e2,e3) = e2
| op(e2,e3) = e1 ),
inference(sr,[status(thm)],[102,1329,theory(equality)]) ).
cnf(1407,plain,
( op(e1,e4) = e0
| op(e1,e2) = e0
| op(e1,e0) = e0 ),
inference(sr,[status(thm)],[804,1330,theory(equality)]) ).
cnf(1412,plain,
( op(op(e1,e2),e3) = e2
| op(e2,e1) = e1 ),
inference(spm,[status(thm)],[79,546,theory(equality)]) ).
cnf(1420,plain,
( op(e0,e2) = e1
| e1 != op(e1,e3) ),
inference(spm,[status(thm)],[189,732,theory(equality)]) ).
cnf(1425,plain,
( op(op(e0,e4),e4) = e4
| op(e4,e0) = e2 ),
inference(spm,[status(thm)],[70,1391,theory(equality)]) ).
cnf(1426,plain,
( op(e4,op(e0,e4)) = e0
| op(e4,e0) = e2 ),
inference(spm,[status(thm)],[86,1391,theory(equality)]) ).
cnf(1429,plain,
( op(e4,e0) = e2
| e4 != op(e3,e0) ),
inference(spm,[status(thm)],[210,1391,theory(equality)]) ).
cnf(1438,plain,
( op(e4,e2) = e3
| e3 != op(e2,e3) ),
inference(spm,[status(thm)],[181,1392,theory(equality)]) ).
cnf(1443,negated_conjecture,
( epred4_0
| op(e4,e2) = e3 ),
inference(spm,[status(thm)],[233,1392,theory(equality)]) ).
cnf(1480,plain,
( op(e2,e0) = e0
| op(e1,e0) = e0 ),
inference(sr,[status(thm)],[734,1328,theory(equality)]) ).
cnf(1487,plain,
( op(e0,e4) = e0
| op(e0,e2) = e0 ),
inference(sr,[status(thm)],[736,1331,theory(equality)]) ).
cnf(1488,plain,
( op(e0,op(e4,e0)) = e4
| op(e0,e2) = e0 ),
inference(spm,[status(thm)],[70,1487,theory(equality)]) ).
cnf(1496,negated_conjecture,
( epred2_0
| op(e0,e2) = e0 ),
inference(spm,[status(thm)],[241,1487,theory(equality)]) ).
cnf(1499,negated_conjecture,
( op(e0,op(e2,e0)) = e2
| epred2_0 ),
inference(spm,[status(thm)],[80,1496,theory(equality)]) ).
cnf(1506,negated_conjecture,
( op(e0,e0) = e2
| epred2_0
| op(e1,e0) = e0 ),
inference(spm,[status(thm)],[1499,1480,theory(equality)]) ).
cnf(1507,negated_conjecture,
( e3 = e2
| epred2_0
| op(e1,e0) = e0 ),
inference(rw,[status(thm)],[1506,712,theory(equality)]) ).
cnf(1508,negated_conjecture,
( epred2_0
| op(e1,e0) = e0 ),
inference(sr,[status(thm)],[1507,222,theory(equality)]) ).
cnf(1510,negated_conjecture,
( op(e2,e0) = e1
| epred2_0 ),
inference(spm,[status(thm)],[391,1508,theory(equality)]) ).
cnf(1518,negated_conjecture,
( epred2_0
| e1 != op(e1,e0) ),
inference(spm,[status(thm)],[215,1510,theory(equality)]) ).
cnf(1519,negated_conjecture,
( epred2_0
| e1 != op(e2,e1) ),
inference(spm,[status(thm)],[149,1510,theory(equality)]) ).
cnf(1552,plain,
( op(e0,e2) = e1
| op(e1,e0) = e1
| op(e1,e2) = e1 ),
inference(spm,[status(thm)],[1420,827,theory(equality)]) ).
cnf(1564,plain,
( op(e3,e0) = e1
| op(e3,e1) = e1
| e1 != op(e1,e2) ),
inference(spm,[status(thm)],[194,1344,theory(equality)]) ).
cnf(1586,plain,
( op(e3,e1) = e3
| op(e3,e1) = e1 ),
inference(sr,[status(thm)],[1367,393,theory(equality)]) ).
cnf(1588,plain,
( op(op(e1,e3),e3) = e3
| op(e3,e1) = e1 ),
inference(spm,[status(thm)],[74,1586,theory(equality)]) ).
cnf(1589,plain,
( op(e3,op(e1,e3)) = e1
| op(e3,e1) = e1 ),
inference(spm,[status(thm)],[82,1586,theory(equality)]) ).
cnf(1618,plain,
( op(e0,e4) = e4
| op(e2,e4) = e4
| e4 != op(e3,e0) ),
inference(spm,[status(thm)],[136,1374,theory(equality)]) ).
cnf(1626,plain,
( op(e3,e0) = e4
| op(e1,e4) = e0
| op(e1,e4) = e2 ),
inference(spm,[status(thm)],[363,1376,theory(equality)]) ).
cnf(1637,plain,
( op(e0,e4) = e4
| op(e0,e4) = e0 ),
inference(sr,[status(thm)],[1385,718,theory(equality)]) ).
cnf(1639,plain,
( op(e4,op(e4,e0)) = e4
| op(e0,e4) = e0 ),
inference(spm,[status(thm)],[70,1637,theory(equality)]) ).
cnf(1640,plain,
( op(op(e4,e0),e4) = e0
| op(e0,e4) = e0 ),
inference(spm,[status(thm)],[86,1637,theory(equality)]) ).
cnf(1642,plain,
( op(e0,e4) = e0
| e4 != op(e0,e3) ),
inference(spm,[status(thm)],[160,1637,theory(equality)]) ).
cnf(1649,plain,
( op(e4,e4) = e4
| op(e4,e0) = e2
| op(e0,e4) = e0 ),
inference(spm,[status(thm)],[1425,1637,theory(equality)]) ).
cnf(1651,plain,
( e1 = e4
| op(e4,e0) = e2
| op(e0,e4) = e0 ),
inference(rw,[status(thm)],[1649,118,theory(equality)]) ).
cnf(1652,plain,
( op(e4,e0) = e2
| op(e0,e4) = e0 ),
inference(sr,[status(thm)],[1651,223,theory(equality)]) ).
cnf(1709,negated_conjecture,
( epred2_0
| op(e1,e4) = e3
| op(e2,e4) = e3 ),
inference(spm,[status(thm)],[238,1397,theory(equality)]) ).
cnf(1719,negated_conjecture,
( op(e1,e4) = e3
| epred2_0
| e3 != op(e2,e1) ),
inference(spm,[status(thm)],[143,1709,theory(equality)]) ).
cnf(1769,plain,
( op(e4,e0) = e4
| op(e3,e0) = e4
| op(e2,e0) = e4 ),
inference(sr,[status(thm)],[722,382,theory(equality)]) ).
cnf(1854,negated_conjecture,
( op(e1,e4) = e3
| epred2_0
| op(e2,e1) = e1 ),
inference(spm,[status(thm)],[1719,546,theory(equality)]) ).
cnf(1875,negated_conjecture,
( op(e1,e4) = e3
| epred2_0 ),
inference(csr,[status(thm)],[1854,1519]) ).
cnf(1876,negated_conjecture,
( op(e3,e0) = e4
| epred2_0 ),
inference(spm,[status(thm)],[363,1875,theory(equality)]) ).
cnf(1877,negated_conjecture,
( op(e0,e3) = e1
| epred2_0 ),
inference(spm,[status(thm)],[372,1875,theory(equality)]) ).
cnf(1894,negated_conjecture,
( op(e4,e0) = e2
| epred2_0 ),
inference(spm,[status(thm)],[1429,1876,theory(equality)]) ).
cnf(1909,negated_conjecture,
( epred2_0
| e1 != op(e1,e3) ),
inference(spm,[status(thm)],[189,1877,theory(equality)]) ).
cnf(1918,negated_conjecture,
( op(op(e0,e4),e2) = e4
| epred2_0 ),
inference(spm,[status(thm)],[70,1894,theory(equality)]) ).
cnf(1919,negated_conjecture,
( op(e2,op(e0,e4)) = e0
| epred2_0 ),
inference(spm,[status(thm)],[86,1894,theory(equality)]) ).
cnf(1968,negated_conjecture,
( epred2_0
| op(e1,e0) = e1
| op(e1,e2) = e1 ),
inference(spm,[status(thm)],[1909,827,theory(equality)]) ).
cnf(1985,negated_conjecture,
( op(e4,e2) = e4
| epred2_0
| op(e0,e4) = e0 ),
inference(spm,[status(thm)],[1918,1637,theory(equality)]) ).
cnf(1988,negated_conjecture,
( op(e2,e4) = e0
| epred2_0
| op(e0,e4) = e0 ),
inference(spm,[status(thm)],[1919,1637,theory(equality)]) ).
cnf(1992,negated_conjecture,
( op(e1,e2) = e1
| epred2_0 ),
inference(csr,[status(thm)],[1968,1518]) ).
cnf(1994,negated_conjecture,
( op(op(e2,e1),e1) = e1
| epred2_0 ),
inference(spm,[status(thm)],[83,1992,theory(equality)]) ).
cnf(2012,negated_conjecture,
( op(e3,e1) = e1
| epred2_0
| op(e2,e1) = e1 ),
inference(spm,[status(thm)],[1994,546,theory(equality)]) ).
cnf(2014,negated_conjecture,
( op(e4,e2) = e4
| epred2_0 ),
inference(csr,[status(thm)],[1985,241]) ).
cnf(2015,negated_conjecture,
( op(op(e2,e4),e4) = e4
| epred2_0 ),
inference(spm,[status(thm)],[68,2014,theory(equality)]) ).
cnf(2025,negated_conjecture,
( e4 = e3
| epred4_0
| epred2_0 ),
inference(spm,[status(thm)],[1443,2014,theory(equality)]) ).
cnf(2026,negated_conjecture,
( epred4_0
| epred2_0 ),
inference(sr,[status(thm)],[2025,220,theory(equality)]) ).
cnf(2037,negated_conjecture,
( epred3_0
| epred2_0
| op(e2,e2) != e2
| op(e3,e1) != e1 ),
inference(spm,[status(thm)],[338,2026,theory(equality)]) ).
cnf(2050,negated_conjecture,
( op(e2,e4) = e0
| epred2_0 ),
inference(csr,[status(thm)],[1988,241]) ).
cnf(2057,negated_conjecture,
( epred2_0
| e0 != op(e2,e2) ),
inference(spm,[status(thm)],[141,2050,theory(equality)]) ).
cnf(2108,negated_conjecture,
( op(e3,e1) = e1
| epred2_0 ),
inference(csr,[status(thm)],[2012,1519]) ).
cnf(2137,negated_conjecture,
( op(e0,e4) = e4
| epred2_0 ),
inference(spm,[status(thm)],[2015,2050,theory(equality)]) ).
cnf(2198,negated_conjecture,
( epred3_0
| epred2_0
| op(e2,e2) != e2 ),
inference(csr,[status(thm)],[2037,2108]) ).
cnf(2370,plain,
( op(e4,e0) = e0
| op(e4,e0) = e2
| op(e0,e2) = e0 ),
inference(spm,[status(thm)],[1426,1487,theory(equality)]) ).
cnf(2375,plain,
( op(e4,e0) = e2
| op(e0,e2) = e0 ),
inference(sr,[status(thm)],[2370,358,theory(equality)]) ).
cnf(2414,plain,
( op(e0,e0) = e4
| op(e1,e0) = e0
| op(e1,e2) = e0 ),
inference(spm,[status(thm)],[363,1407,theory(equality)]) ).
cnf(2427,plain,
( e3 = e4
| op(e1,e0) = e0
| op(e1,e2) = e0 ),
inference(rw,[status(thm)],[2414,712,theory(equality)]) ).
cnf(2428,plain,
( op(e1,e0) = e0
| op(e1,e2) = e0 ),
inference(sr,[status(thm)],[2427,220,theory(equality)]) ).
cnf(2449,plain,
( op(e0,e3) = e2
| op(e2,e1) = e1
| op(e1,e0) = e0 ),
inference(spm,[status(thm)],[1412,2428,theory(equality)]) ).
cnf(2457,plain,
( op(e2,e1) = e1
| op(e1,e0) = e0 ),
inference(sr,[status(thm)],[2449,396,theory(equality)]) ).
cnf(2505,plain,
( op(e3,e3) = e2
| op(e2,e2) = e0
| op(e2,e2) = e1
| op(e2,e2) = e2 ),
inference(spm,[status(thm)],[78,983,theory(equality)]) ).
cnf(2517,plain,
( e0 = e2
| op(e2,e2) = e0
| op(e2,e2) = e1
| op(e2,e2) = e2 ),
inference(rw,[status(thm)],[2505,713,theory(equality)]) ).
cnf(2518,plain,
( op(e2,e2) = e0
| op(e2,e2) = e1
| op(e2,e2) = e2 ),
inference(sr,[status(thm)],[2517,228,theory(equality)]) ).
cnf(2583,plain,
( op(e0,e2) = e4
| op(e0,e2) = e0 ),
inference(spm,[status(thm)],[1488,2375,theory(equality)]) ).
cnf(2701,plain,
( e1 = e0
| e1 = e4
| op(e1,e2) = e1
| op(e1,e0) = e1 ),
inference(spm,[status(thm)],[2583,1552,theory(equality)]) ).
cnf(2710,plain,
( e4 = e1
| op(e1,e2) = e1
| op(e1,e0) = e1 ),
inference(sr,[status(thm)],[2701,229,theory(equality)]) ).
cnf(2711,plain,
( op(e1,e2) = e1
| op(e1,e0) = e1 ),
inference(sr,[status(thm)],[2710,223,theory(equality)]) ).
cnf(2724,plain,
( op(e3,e1) = e1
| op(e3,e0) = e1
| op(e1,e0) = e1 ),
inference(spm,[status(thm)],[1564,2711,theory(equality)]) ).
cnf(2817,plain,
( op(e4,e2) = e4
| op(e0,e4) = e0 ),
inference(spm,[status(thm)],[1639,1652,theory(equality)]) ).
cnf(2839,plain,
( op(e4,e3) = e2
| op(e4,e3) = e3
| op(e0,e4) = e0 ),
inference(spm,[status(thm)],[1306,2817,theory(equality)]) ).
cnf(3645,plain,
( op(e4,e4) = e0
| op(e0,e4) = e0
| op(e2,e0) = e4
| op(e3,e0) = e4 ),
inference(spm,[status(thm)],[1640,1769,theory(equality)]) ).
cnf(3653,plain,
( e1 = e0
| op(e0,e4) = e0
| op(e2,e0) = e4
| op(e3,e0) = e4 ),
inference(rw,[status(thm)],[3645,118,theory(equality)]) ).
cnf(3654,plain,
( op(e0,e4) = e0
| op(e2,e0) = e4
| op(e3,e0) = e4 ),
inference(sr,[status(thm)],[3653,229,theory(equality)]) ).
cnf(4113,plain,
( op(e3,e4) = e3
| op(e3,e2) = e3
| op(e3,e1) = e3 ),
inference(sr,[status(thm)],[1340,715,theory(equality)]) ).
cnf(4244,negated_conjecture,
( epred3_0
| epred2_0
| op(e2,e2) = e1
| op(e2,e2) = e0 ),
inference(spm,[status(thm)],[2198,2518,theory(equality)]) ).
cnf(4253,negated_conjecture,
( op(e2,e2) = e1
| epred3_0
| epred2_0 ),
inference(csr,[status(thm)],[4244,2057]) ).
cnf(4254,negated_conjecture,
( op(e1,e1) = e2
| epred3_0
| epred2_0 ),
inference(spm,[status(thm)],[78,4253,theory(equality)]) ).
cnf(4272,negated_conjecture,
( e4 = e2
| epred3_0
| epred2_0 ),
inference(rw,[status(thm)],[4254,373,theory(equality)]) ).
cnf(4273,negated_conjecture,
( epred3_0
| epred2_0 ),
inference(sr,[status(thm)],[4272,221,theory(equality)]) ).
cnf(4289,negated_conjecture,
( epred1_0
| epred3_0
| op(e2,e2) != e2
| op(e4,e3) != e4 ),
inference(spm,[status(thm)],[281,4273,theory(equality)]) ).
cnf(4355,plain,
( op(e4,e3) = e4
| op(e2,e3) = e4
| op(e0,e3) = e4 ),
inference(sr,[status(thm)],[1347,380,theory(equality)]) ).
cnf(4406,negated_conjecture,
( epred3_0
| epred1_0
| op(e2,e2) = e1
| op(e2,e2) = e0
| op(e4,e3) != e4 ),
inference(spm,[status(thm)],[4289,2518,theory(equality)]) ).
cnf(4431,plain,
( op(e4,e3) = e3
| op(e2,e3) = e3
| op(e1,e3) = e3 ),
inference(sr,[status(thm)],[1349,719,theory(equality)]) ).
cnf(4441,negated_conjecture,
( epred4_0
| op(e1,e3) = e3
| op(e2,e3) = e3 ),
inference(spm,[status(thm)],[233,4431,theory(equality)]) ).
cnf(4456,negated_conjecture,
( op(e1,e3) = e3
| epred4_0
| e3 != op(e2,e1) ),
inference(spm,[status(thm)],[144,4441,theory(equality)]) ).
cnf(4750,plain,
( op(e1,e3) = e3
| op(e1,e3) = e2
| op(e1,e3) = e1 ),
inference(sr,[status(thm)],[1377,1330,theory(equality)]) ).
cnf(5290,plain,
( op(e0,e3) = e4
| op(e0,e3) = e1
| op(e0,e3) = e0 ),
inference(sr,[status(thm)],[1387,719,theory(equality)]) ).
cnf(5291,plain,
( op(e0,e3) = e4
| op(e0,e3) = e1 ),
inference(sr,[status(thm)],[5290,1331,theory(equality)]) ).
cnf(5295,plain,
( op(e0,e3) = e1
| e4 != op(e0,e2) ),
inference(spm,[status(thm)],[162,5291,theory(equality)]) ).
cnf(5302,plain,
( op(e0,e4) = e0
| op(e0,e3) = e1 ),
inference(spm,[status(thm)],[1642,5291,theory(equality)]) ).
cnf(5335,plain,
( op(e0,e3) = e1
| op(e0,e2) = e0 ),
inference(spm,[status(thm)],[5295,2583,theory(equality)]) ).
cnf(5364,plain,
( op(e0,e3) = e1
| e0 != op(e0,e2) ),
inference(spm,[status(thm)],[161,5302,theory(equality)]) ).
cnf(5430,plain,
op(e0,e3) = e1,
inference(csr,[status(thm)],[5364,5335]) ).
cnf(5431,plain,
op(op(e3,e0),e1) = e0,
inference(rw,[status(thm)],[87,5430,theory(equality)]) ).
cnf(5432,plain,
op(e1,op(e3,e0)) = e3,
inference(rw,[status(thm)],[75,5430,theory(equality)]) ).
cnf(5437,plain,
op(e2,e3) != e1,
inference(rw,[status(thm)],[188,5430,theory(equality)]) ).
cnf(5438,plain,
e1 != op(e1,e3),
inference(rw,[status(thm)],[189,5430,theory(equality)]) ).
cnf(5452,plain,
( e1 = e4
| op(e2,e3) = e4
| op(e4,e3) = e4 ),
inference(rw,[status(thm)],[4355,5430,theory(equality)]) ).
cnf(5453,plain,
( op(e2,e3) = e4
| op(e4,e3) = e4 ),
inference(sr,[status(thm)],[5452,223,theory(equality)]) ).
cnf(5473,plain,
( op(e0,e2) = e4
| e1 = e4
| op(e0,e4) = e4 ),
inference(rw,[status(thm)],[724,5430,theory(equality)]) ).
cnf(5474,plain,
( op(e0,e2) = e4
| op(e0,e4) = e4 ),
inference(sr,[status(thm)],[5473,223,theory(equality)]) ).
cnf(5522,plain,
( op(e1,e3) = e2
| op(e1,e3) = e3 ),
inference(sr,[status(thm)],[4750,5438,theory(equality)]) ).
cnf(5544,plain,
( op(e1,e1) = e0
| op(e1,e0) = e1
| op(e3,e1) = e1 ),
inference(spm,[status(thm)],[5431,2724,theory(equality)]) ).
cnf(5553,plain,
( e4 = e0
| op(e1,e0) = e1
| op(e3,e1) = e1 ),
inference(rw,[status(thm)],[5544,373,theory(equality)]) ).
cnf(5554,plain,
( op(e1,e0) = e1
| op(e3,e1) = e1 ),
inference(sr,[status(thm)],[5553,226,theory(equality)]) ).
cnf(5601,plain,
( op(e4,e2) = e3
| e4 = e3
| op(e2,e3) = e4 ),
inference(spm,[status(thm)],[1392,5453,theory(equality)]) ).
cnf(5611,plain,
( op(e0,e4) = e0
| e4 = e3
| e4 = e2
| op(e2,e3) = e4 ),
inference(spm,[status(thm)],[2839,5453,theory(equality)]) ).
cnf(5613,plain,
( op(e4,e2) = e3
| op(e2,e3) = e4 ),
inference(sr,[status(thm)],[5601,220,theory(equality)]) ).
cnf(5619,plain,
( op(e0,e4) = e0
| e4 = e2
| op(e2,e3) = e4 ),
inference(sr,[status(thm)],[5611,220,theory(equality)]) ).
cnf(5620,plain,
( op(e0,e4) = e0
| op(e2,e3) = e4 ),
inference(sr,[status(thm)],[5619,221,theory(equality)]) ).
cnf(5690,plain,
( op(e1,e3) = e1
| op(e2,e1) = e1
| op(e1,e3) = e2 ),
inference(spm,[status(thm)],[526,5522,theory(equality)]) ).
cnf(5691,plain,
( op(e3,e3) = e3
| op(e2,e1) = e3
| op(e1,e3) = e2 ),
inference(spm,[status(thm)],[541,5522,theory(equality)]) ).
cnf(5711,plain,
( op(e2,e1) = e1
| op(e1,e3) = e2 ),
inference(sr,[status(thm)],[5690,5438,theory(equality)]) ).
cnf(5712,plain,
( e0 = e3
| op(e2,e1) = e3
| op(e1,e3) = e2 ),
inference(rw,[status(thm)],[5691,713,theory(equality)]) ).
cnf(5713,plain,
( op(e2,e1) = e3
| op(e1,e3) = e2 ),
inference(sr,[status(thm)],[5712,227,theory(equality)]) ).
cnf(5887,plain,
( op(e2,e3) = e4
| e3 != op(e3,e2) ),
inference(spm,[status(thm)],[190,5613,theory(equality)]) ).
cnf(5936,plain,
( op(e0,e4) = e0
| e4 != op(e2,e0) ),
inference(spm,[status(thm)],[147,5620,theory(equality)]) ).
cnf(6229,plain,
( op(e1,e3) = e2
| e3 = e1 ),
inference(spm,[status(thm)],[5711,5713,theory(equality)]) ).
cnf(6236,plain,
op(e1,e3) = e2,
inference(sr,[status(thm)],[6229,224,theory(equality)]) ).
cnf(6251,plain,
op(op(e3,e1),e2) = e1,
inference(rw,[status(thm)],[82,6236,theory(equality)]) ).
cnf(6256,plain,
op(e4,e3) != e2,
inference(rw,[status(thm)],[183,6236,theory(equality)]) ).
cnf(6257,plain,
op(e2,e3) != e2,
inference(rw,[status(thm)],[185,6236,theory(equality)]) ).
cnf(6258,plain,
op(e1,e4) != e2,
inference(rw,[status(thm)],[150,6236,theory(equality)]) ).
cnf(6271,negated_conjecture,
( e2 = e3
| epred4_0
| op(e2,e1) != e3 ),
inference(rw,[status(thm)],[4456,6236,theory(equality)]) ).
cnf(6272,negated_conjecture,
( epred4_0
| op(e2,e1) != e3 ),
inference(sr,[status(thm)],[6271,222,theory(equality)]) ).
cnf(6275,negated_conjecture,
( op(e2,e3) = e3
| e2 = e3
| epred4_0 ),
inference(rw,[status(thm)],[4441,6236,theory(equality)]) ).
cnf(6276,negated_conjecture,
( op(e2,e3) = e3
| epred4_0 ),
inference(sr,[status(thm)],[6275,222,theory(equality)]) ).
cnf(6286,plain,
( op(e3,e2) = e1
| op(e3,e1) = e1 ),
inference(rw,[status(thm)],[1589,6236,theory(equality)]) ).
cnf(6287,plain,
( op(e2,e3) = e3
| op(e3,e1) = e1 ),
inference(rw,[status(thm)],[1588,6236,theory(equality)]) ).
cnf(6298,plain,
( op(e3,e2) = e1
| op(e2,e1) = e3 ),
inference(rw,[status(thm)],[542,6236,theory(equality)]) ).
cnf(6315,plain,
( op(e2,e3) = e4
| op(e2,e3) = e3
| op(e2,e3) = e2 ),
inference(sr,[status(thm)],[1406,5437,theory(equality)]) ).
cnf(6343,plain,
( op(e4,e3) = e4
| op(e4,e3) = e3 ),
inference(sr,[status(thm)],[1295,6256,theory(equality)]) ).
cnf(6350,plain,
( op(e2,e0) = e2
| op(e2,e2) = e2
| op(e2,e4) = e2 ),
inference(sr,[status(thm)],[1384,6257,theory(equality)]) ).
cnf(6351,plain,
( op(e2,e3) = e3
| op(e2,e3) = e4 ),
inference(sr,[status(thm)],[6315,6257,theory(equality)]) ).
cnf(6354,plain,
( op(e1,e4) = e0
| op(e1,e4) = e3 ),
inference(sr,[status(thm)],[1376,6258,theory(equality)]) ).
cnf(6356,plain,
( op(e1,e4) = e0
| op(e3,e0) = e4 ),
inference(sr,[status(thm)],[1626,6258,theory(equality)]) ).
cnf(6367,negated_conjecture,
( op(e3,op(e3,e2)) = e3
| epred4_0 ),
inference(spm,[status(thm)],[73,6276,theory(equality)]) ).
cnf(6618,plain,
( op(e2,e3) = e3
| e1 != op(e2,e1) ),
inference(spm,[status(thm)],[202,6287,theory(equality)]) ).
cnf(6826,plain,
( op(e4,e3) = e3
| e4 != op(e2,e3) ),
inference(spm,[status(thm)],[181,6343,theory(equality)]) ).
cnf(6986,plain,
( op(e4,e0) = e2
| op(e1,e4) = e0 ),
inference(spm,[status(thm)],[1429,6356,theory(equality)]) ).
cnf(7342,plain,
( op(e2,e3) = e3
| op(e1,e0) = e0 ),
inference(spm,[status(thm)],[6618,2457,theory(equality)]) ).
cnf(7370,plain,
( op(e1,e4) = e0
| e2 != op(e2,e0) ),
inference(spm,[status(thm)],[211,6986,theory(equality)]) ).
cnf(7598,plain,
( op(e4,e2) = e3
| op(e1,e0) = e0 ),
inference(spm,[status(thm)],[1438,7342,theory(equality)]) ).
cnf(8222,negated_conjecture,
( op(e3,e1) = e3
| epred4_0
| op(e2,e1) = e3 ),
inference(spm,[status(thm)],[6367,6298,theory(equality)]) ).
cnf(8579,negated_conjecture,
( op(e3,e1) = e3
| epred4_0 ),
inference(csr,[status(thm)],[8222,6272]) ).
cnf(8580,negated_conjecture,
( op(e3,e2) = e1
| epred4_0 ),
inference(spm,[status(thm)],[6251,8579,theory(equality)]) ).
cnf(8609,negated_conjecture,
( epred4_0
| e1 != op(e3,e1) ),
inference(spm,[status(thm)],[135,8580,theory(equality)]) ).
cnf(9900,plain,
( op(e0,e4) = e0
| op(e3,e0) = e4 ),
inference(csr,[status(thm)],[3654,5936]) ).
cnf(9902,plain,
( op(e1,e4) = e3
| op(e0,e4) = e0 ),
inference(spm,[status(thm)],[5432,9900,theory(equality)]) ).
cnf(9935,plain,
( op(e1,e4) = e3
| e0 != op(e1,e4) ),
inference(spm,[status(thm)],[179,9902,theory(equality)]) ).
cnf(10038,plain,
op(e1,e4) = e3,
inference(csr,[status(thm)],[9935,6354]) ).
cnf(10041,plain,
op(e3,e0) = e4,
inference(rw,[status(thm)],[363,10038,theory(equality)]) ).
cnf(10045,plain,
op(e3,e4) != e3,
inference(rw,[status(thm)],[174,10038,theory(equality)]) ).
cnf(10058,plain,
( e3 = e0
| op(e2,e0) != e2 ),
inference(rw,[status(thm)],[7370,10038,theory(equality)]) ).
cnf(10059,plain,
op(e2,e0) != e2,
inference(sr,[status(thm)],[10058,227,theory(equality)]) ).
cnf(10101,plain,
( op(e3,e4) = e2
| op(e3,e4) = e4 ),
inference(sr,[status(thm)],[1400,10045,theory(equality)]) ).
cnf(10102,plain,
( op(e3,e1) = e3
| op(e3,e2) = e3 ),
inference(sr,[status(thm)],[4113,10045,theory(equality)]) ).
cnf(10164,plain,
op(e4,e0) != e4,
inference(rw,[status(thm)],[210,10041,theory(equality)]) ).
cnf(10165,plain,
op(e3,e4) != e4,
inference(rw,[status(thm)],[136,10041,theory(equality)]) ).
cnf(10191,plain,
( op(e2,e4) = e4
| op(e0,e4) = e4
| $false ),
inference(rw,[status(thm)],[1618,10041,theory(equality)]) ).
cnf(10192,plain,
( op(e2,e4) = e4
| op(e0,e4) = e4 ),
inference(cn,[status(thm)],[10191,theory(equality)]) ).
cnf(10221,plain,
( op(e4,e3) = e4
| op(e4,e2) = e4 ),
inference(sr,[status(thm)],[1251,10164,theory(equality)]) ).
cnf(10324,plain,
op(e3,e4) = e2,
inference(sr,[status(thm)],[10101,10165,theory(equality)]) ).
cnf(10325,plain,
op(op(e4,e3),e2) = e3,
inference(rw,[status(thm)],[71,10324,theory(equality)]) ).
cnf(10326,plain,
op(e2,op(e4,e3)) = e4,
inference(rw,[status(thm)],[67,10324,theory(equality)]) ).
cnf(10333,plain,
e2 != op(e2,e4),
inference(rw,[status(thm)],[172,10324,theory(equality)]) ).
cnf(10388,plain,
( op(e2,e3) = e4
| op(e3,e1) = e3 ),
inference(spm,[status(thm)],[5887,10102,theory(equality)]) ).
cnf(10432,plain,
( op(e0,e4) = e4
| e4 != op(e2,e3) ),
inference(spm,[status(thm)],[140,10192,theory(equality)]) ).
cnf(10638,plain,
( op(e2,e4) = e4
| op(e4,e3) = e3 ),
inference(spm,[status(thm)],[10326,6343,theory(equality)]) ).
cnf(10644,plain,
( op(e2,e4) = e4
| op(e4,e2) = e4 ),
inference(spm,[status(thm)],[10326,10221,theory(equality)]) ).
cnf(10710,plain,
( e3 = e1
| op(e1,e0) = e1
| op(e2,e3) = e4 ),
inference(spm,[status(thm)],[5554,10388,theory(equality)]) ).
cnf(10720,plain,
( op(e1,e0) = e1
| op(e2,e3) = e4 ),
inference(sr,[status(thm)],[10710,224,theory(equality)]) ).
cnf(10780,plain,
( op(e0,e4) = e4
| op(e2,e3) = e3 ),
inference(spm,[status(thm)],[10432,6351,theory(equality)]) ).
cnf(11286,plain,
( op(e3,e2) = e3
| op(e2,e4) = e4 ),
inference(spm,[status(thm)],[10325,10638,theory(equality)]) ).
cnf(11330,plain,
( op(e1,e0) = e0
| e4 = e3
| op(e2,e4) = e4 ),
inference(spm,[status(thm)],[7598,10644,theory(equality)]) ).
cnf(11348,plain,
( op(e1,e0) = e0
| op(e2,e4) = e4 ),
inference(sr,[status(thm)],[11330,220,theory(equality)]) ).
cnf(11496,plain,
( op(e4,e3) = e3
| op(e1,e0) = e1 ),
inference(spm,[status(thm)],[6826,10720,theory(equality)]) ).
cnf(11686,plain,
( op(e0,e4) = e4
| e3 != op(e2,e1) ),
inference(spm,[status(thm)],[144,10780,theory(equality)]) ).
cnf(11946,plain,
( op(e3,e1) = e1
| e3 = e1
| op(e2,e4) = e4 ),
inference(spm,[status(thm)],[6286,11286,theory(equality)]) ).
cnf(11966,plain,
( op(e3,e1) = e1
| op(e2,e4) = e4 ),
inference(sr,[status(thm)],[11946,224,theory(equality)]) ).
cnf(12066,plain,
( op(e1,e0) = e0
| e4 != op(e0,e4) ),
inference(spm,[status(thm)],[178,11348,theory(equality)]) ).
cnf(12400,plain,
( op(e3,e2) = e3
| op(e1,e0) = e1 ),
inference(spm,[status(thm)],[10325,11496,theory(equality)]) ).
cnf(13117,plain,
( op(e1,e0) = e1
| e3 != op(e3,e1) ),
inference(spm,[status(thm)],[135,12400,theory(equality)]) ).
cnf(13806,plain,
( op(e2,e2) = e2
| op(e2,e4) = e2 ),
inference(sr,[status(thm)],[6350,10059,theory(equality)]) ).
cnf(13807,plain,
op(e2,e2) = e2,
inference(sr,[status(thm)],[13806,10333,theory(equality)]) ).
cnf(13826,negated_conjecture,
( e2 = e0
| op(e2,e2) = e1
| epred3_0
| epred1_0
| op(e4,e3) != e4 ),
inference(rw,[status(thm)],[4406,13807,theory(equality)]) ).
cnf(13827,negated_conjecture,
( e2 = e0
| e2 = e1
| epred3_0
| epred1_0
| op(e4,e3) != e4 ),
inference(rw,[status(thm)],[13826,13807,theory(equality)]) ).
cnf(13828,negated_conjecture,
( e2 = e1
| epred3_0
| epred1_0
| op(e4,e3) != e4 ),
inference(sr,[status(thm)],[13827,228,theory(equality)]) ).
cnf(13829,negated_conjecture,
( epred3_0
| epred1_0
| op(e4,e3) != e4 ),
inference(sr,[status(thm)],[13828,225,theory(equality)]) ).
cnf(13889,plain,
( epred3_0
| $false
| op(e3,e1) != e1
| ~ epred4_0 ),
inference(rw,[status(thm)],[338,13807,theory(equality)]) ).
cnf(13890,plain,
( epred3_0
| op(e3,e1) != e1
| ~ epred4_0 ),
inference(cn,[status(thm)],[13889,theory(equality)]) ).
cnf(13891,plain,
( epred1_0
| $false
| op(e4,e3) != e4
| ~ epred2_0 ),
inference(rw,[status(thm)],[281,13807,theory(equality)]) ).
cnf(13892,plain,
( epred1_0
| op(e4,e3) != e4
| ~ epred2_0 ),
inference(cn,[status(thm)],[13891,theory(equality)]) ).
cnf(13928,plain,
( epred3_0
| op(e3,e1) != e1 ),
inference(csr,[status(thm)],[13890,8609]) ).
cnf(13934,plain,
( epred3_0
| op(e2,e3) = e3 ),
inference(spm,[status(thm)],[13928,6287,theory(equality)]) ).
cnf(13943,plain,
( epred3_0
| op(e2,e4) = e4 ),
inference(spm,[status(thm)],[13928,11966,theory(equality)]) ).
cnf(14019,plain,
( op(e4,e2) = e3
| epred3_0 ),
inference(spm,[status(thm)],[1438,13934,theory(equality)]) ).
cnf(14147,plain,
( epred3_0
| e4 != op(e2,e3) ),
inference(spm,[status(thm)],[140,13943,theory(equality)]) ).
cnf(14266,plain,
( epred3_0
| e3 != op(e3,e2) ),
inference(spm,[status(thm)],[190,14019,theory(equality)]) ).
cnf(14450,plain,
( epred3_0
| op(e3,e1) = e3 ),
inference(spm,[status(thm)],[14266,10102,theory(equality)]) ).
cnf(14497,negated_conjecture,
( epred3_0
| epred1_0
| op(e2,e3) = e4 ),
inference(spm,[status(thm)],[13829,5453,theory(equality)]) ).
cnf(14854,negated_conjecture,
( epred3_0
| epred1_0 ),
inference(csr,[status(thm)],[14497,14147]) ).
cnf(14857,negated_conjecture,
( epred1_0
| op(e0,e4) != e4
| op(e1,e0) != e0 ),
inference(spm,[status(thm)],[302,14854,theory(equality)]) ).
cnf(14860,negated_conjecture,
( epred1_0
| op(e0,e4) != e4 ),
inference(csr,[status(thm)],[14857,12066]) ).
cnf(14863,negated_conjecture,
( epred1_0
| epred2_0 ),
inference(spm,[status(thm)],[14860,2137,theory(equality)]) ).
cnf(14866,negated_conjecture,
( epred1_0
| op(e0,e2) = e4 ),
inference(spm,[status(thm)],[14860,5474,theory(equality)]) ).
cnf(14874,negated_conjecture,
( epred1_0
| op(e4,e3) != e4 ),
inference(spm,[status(thm)],[13892,14863,theory(equality)]) ).
cnf(14884,negated_conjecture,
( epred1_0
| op(e4,e2) = e4 ),
inference(spm,[status(thm)],[14874,10221,theory(equality)]) ).
cnf(15146,negated_conjecture,
( epred1_0
| e4 != op(e0,e2) ),
inference(spm,[status(thm)],[196,14884,theory(equality)]) ).
cnf(15353,negated_conjecture,
epred1_0,
inference(csr,[status(thm)],[15146,14866]) ).
cnf(15374,plain,
( op(e1,e0) != e1
| op(e3,e1) != e3
| $false ),
inference(rw,[status(thm)],[260,15353,theory(equality)]) ).
cnf(15375,plain,
( op(e1,e0) != e1
| op(e3,e1) != e3 ),
inference(cn,[status(thm)],[15374,theory(equality)]) ).
cnf(15384,plain,
op(e3,e1) != e3,
inference(csr,[status(thm)],[15375,13117]) ).
cnf(15392,plain,
op(e2,e1) = e3,
inference(sr,[status(thm)],[540,15384,theory(equality)]) ).
cnf(15401,plain,
epred3_0,
inference(sr,[status(thm)],[14450,15384,theory(equality)]) ).
cnf(15478,plain,
( op(e0,e4) != e4
| op(e1,e0) != e0
| $false ),
inference(rw,[status(thm)],[302,15401,theory(equality)]) ).
cnf(15479,plain,
( op(e0,e4) != e4
| op(e1,e0) != e0 ),
inference(cn,[status(thm)],[15478,theory(equality)]) ).
cnf(15484,plain,
op(e0,e4) != e4,
inference(csr,[status(thm)],[15479,12066]) ).
cnf(15589,plain,
( op(e0,e4) = e4
| $false ),
inference(rw,[status(thm)],[11686,15392,theory(equality)]) ).
cnf(15590,plain,
op(e0,e4) = e4,
inference(cn,[status(thm)],[15589,theory(equality)]) ).
cnf(15591,plain,
$false,
inference(sr,[status(thm)],[15590,15484,theory(equality)]) ).
cnf(15592,plain,
$false,
15591,
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% % SZS status Started for /home/graph/tptp/TPTP/Problems/ALG/ALG170+1.p
% --creating new selector for []
% -running prover on /tmp/tmp0K0404/sel_ALG170+1.p_1 with time limit 29
% -prover status Theorem
% Problem ALG170+1.p solved in phase 0.
% % SZS status Theorem for /home/graph/tptp/TPTP/Problems/ALG/ALG170+1.p
% % SZS status Ended for /home/graph/tptp/TPTP/Problems/ALG/ALG170+1.p
% Solved 1 out of 1.
% # Problem is unsatisfiable (or provable), constructing proof object
% # SZS status Theorem
% # SZS output start CNFRefutation.
% See solution above
% # SZS output end CNFRefutation
%
%------------------------------------------------------------------------------