TSTP Solution File: ALG193+1 by SInE---0.4
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : SInE---0.4
% Problem : ALG193+1 : TPTP v5.0.0. Released v2.7.0.
% Transfm : none
% Format : tptp:raw
% Command : Source/sine.py -e eprover -t %d %s
% Computer : art11.cs.miami.edu
% Model : i686 i686
% CPU : Intel(R) Pentium(R) 4 CPU 3.00GHz @ 3000MHz
% Memory : 2006MB
% OS : Linux 2.6.31.5-127.fc12.i686.PAE
% CPULimit : 300s
% DateTime : Sat Dec 25 04:19:12 EST 2010
% Result : Unsatisfiable 26.29s
% Output : CNFRefutation 26.29s
% Verified :
% SZS Type : Refutation
% Derivation depth : 84
% Number of leaves : 13
% Syntax : Number of formulae : 544 ( 133 unt; 0 def)
% Number of atoms : 1998 (1984 equ)
% Maximal formula atoms : 250 ( 3 avg)
% Number of connectives : 1947 ( 493 ~;1211 |; 243 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 101 ( 4 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 2 ( 0 usr; 1 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(2,axiom,
~ ( e1 = op(e2,e4)
& e0 = op(e4,op(e2,e4))
& e3 = op(op(e2,e4),op(e4,op(e2,e4))) ),
file('/tmp/tmpek3paX/sel_ALG193+1.p_1',ax49) ).
fof(4,axiom,
~ ( e1 = op(e2,e3)
& e0 = op(e3,op(e2,e3))
& e4 = op(op(e2,e3),op(e3,op(e2,e3))) ),
file('/tmp/tmpek3paX/sel_ALG193+1.p_1',ax43) ).
fof(66,axiom,
~ ( e3 = op(e0,e1)
& e4 = op(e1,op(e0,e1))
& e2 = op(op(e0,e1),op(e1,op(e0,e1))) ),
file('/tmp/tmpek3paX/sel_ALG193+1.p_1',ax89) ).
fof(68,axiom,
~ ( e3 = op(e0,e1)
& e2 = op(e1,op(e0,e1))
& e4 = op(op(e0,e1),op(e1,op(e0,e1))) ),
file('/tmp/tmpek3paX/sel_ALG193+1.p_1',ax87) ).
fof(69,axiom,
~ ( e3 = op(e4,e1)
& e0 = op(e1,op(e4,e1))
& e2 = op(op(e4,e1),op(e1,op(e4,e1))) ),
file('/tmp/tmpek3paX/sel_ALG193+1.p_1',ax86) ).
fof(70,axiom,
~ ( e3 = op(e2,e1)
& e0 = op(e1,op(e2,e1))
& e4 = op(op(e2,e1),op(e1,op(e2,e1))) ),
file('/tmp/tmpek3paX/sel_ALG193+1.p_1',ax85) ).
fof(79,axiom,
~ ( e4 = op(e3,e1)
& e0 = op(e1,op(e3,e1))
& e2 = op(op(e3,e1),op(e1,op(e3,e1))) ),
file('/tmp/tmpek3paX/sel_ALG193+1.p_1',ax110) ).
fof(106,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/tmpek3paX/sel_ALG193+1.p_1',ax2) ).
fof(107,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/tmpek3paX/sel_ALG193+1.p_1',ax3) ).
fof(108,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/tmpek3paX/sel_ALG193+1.p_1',ax1) ).
fof(109,axiom,
( op(op(e0,e0),e0) = e0
& op(op(e0,e1),e1) = e0
& op(op(e0,e2),e2) = e0
& op(op(e0,e3),e3) = e0
& op(op(e0,e4),e4) = e0
& op(op(e1,e0),e0) = e1
& op(op(e1,e1),e1) = e1
& op(op(e1,e2),e2) = e1
& op(op(e1,e3),e3) = e1
& op(op(e1,e4),e4) = e1
& op(op(e2,e0),e0) = e2
& op(op(e2,e1),e1) = e2
& op(op(e2,e2),e2) = e2
& op(op(e2,e3),e3) = e2
& op(op(e2,e4),e4) = e2
& op(op(e3,e0),e0) = e3
& op(op(e3,e1),e1) = e3
& op(op(e3,e2),e2) = e3
& op(op(e3,e3),e3) = e3
& op(op(e3,e4),e4) = e3
& op(op(e4,e0),e0) = e4
& op(op(e4,e1),e1) = e4
& op(op(e4,e2),e2) = e4
& op(op(e4,e3),e3) = e4
& op(op(e4,e4),e4) = e4 ),
file('/tmp/tmpek3paX/sel_ALG193+1.p_1',ax6) ).
fof(111,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/tmpek3paX/sel_ALG193+1.p_1',ax4) ).
fof(112,axiom,
( e0 != e1
& e0 != e2
& e0 != e3
& e0 != e4
& e1 != e2
& e1 != e3
& e1 != e4
& e2 != e3
& e2 != e4
& e3 != e4 ),
file('/tmp/tmpek3paX/sel_ALG193+1.p_1',ax5) ).
fof(129,plain,
( e1 != op(e2,e4)
| e0 != op(e4,op(e2,e4))
| e3 != op(op(e2,e4),op(e4,op(e2,e4))) ),
inference(fof_nnf,[status(thm)],[2]) ).
cnf(130,plain,
( e3 != op(op(e2,e4),op(e4,op(e2,e4)))
| e0 != op(e4,op(e2,e4))
| e1 != op(e2,e4) ),
inference(split_conjunct,[status(thm)],[129]) ).
fof(133,plain,
( e1 != op(e2,e3)
| e0 != op(e3,op(e2,e3))
| e4 != op(op(e2,e3),op(e3,op(e2,e3))) ),
inference(fof_nnf,[status(thm)],[4]) ).
cnf(134,plain,
( e4 != op(op(e2,e3),op(e3,op(e2,e3)))
| e0 != op(e3,op(e2,e3))
| e1 != op(e2,e3) ),
inference(split_conjunct,[status(thm)],[133]) ).
fof(257,plain,
( e3 != op(e0,e1)
| e4 != op(e1,op(e0,e1))
| e2 != op(op(e0,e1),op(e1,op(e0,e1))) ),
inference(fof_nnf,[status(thm)],[66]) ).
cnf(258,plain,
( e2 != op(op(e0,e1),op(e1,op(e0,e1)))
| e4 != op(e1,op(e0,e1))
| e3 != op(e0,e1) ),
inference(split_conjunct,[status(thm)],[257]) ).
fof(261,plain,
( e3 != op(e0,e1)
| e2 != op(e1,op(e0,e1))
| e4 != op(op(e0,e1),op(e1,op(e0,e1))) ),
inference(fof_nnf,[status(thm)],[68]) ).
cnf(262,plain,
( e4 != op(op(e0,e1),op(e1,op(e0,e1)))
| e2 != op(e1,op(e0,e1))
| e3 != op(e0,e1) ),
inference(split_conjunct,[status(thm)],[261]) ).
fof(263,plain,
( e3 != op(e4,e1)
| e0 != op(e1,op(e4,e1))
| e2 != op(op(e4,e1),op(e1,op(e4,e1))) ),
inference(fof_nnf,[status(thm)],[69]) ).
cnf(264,plain,
( e2 != op(op(e4,e1),op(e1,op(e4,e1)))
| e0 != op(e1,op(e4,e1))
| e3 != op(e4,e1) ),
inference(split_conjunct,[status(thm)],[263]) ).
fof(265,plain,
( e3 != op(e2,e1)
| e0 != op(e1,op(e2,e1))
| e4 != op(op(e2,e1),op(e1,op(e2,e1))) ),
inference(fof_nnf,[status(thm)],[70]) ).
cnf(266,plain,
( e4 != op(op(e2,e1),op(e1,op(e2,e1)))
| e0 != op(e1,op(e2,e1))
| e3 != op(e2,e1) ),
inference(split_conjunct,[status(thm)],[265]) ).
fof(283,plain,
( e4 != op(e3,e1)
| e0 != op(e1,op(e3,e1))
| e2 != op(op(e3,e1),op(e1,op(e3,e1))) ),
inference(fof_nnf,[status(thm)],[79]) ).
cnf(284,plain,
( e2 != op(op(e3,e1),op(e1,op(e3,e1)))
| e0 != op(e1,op(e3,e1))
| e4 != op(e3,e1) ),
inference(split_conjunct,[status(thm)],[283]) ).
cnf(337,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)],[106]) ).
cnf(338,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)],[106]) ).
cnf(339,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)],[106]) ).
cnf(340,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)],[106]) ).
cnf(341,plain,
( op(e4,e4) = e2
| op(e3,e4) = e2
| op(e2,e4) = e2
| op(e1,e4) = e2
| op(e0,e4) = e2 ),
inference(split_conjunct,[status(thm)],[106]) ).
cnf(347,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)],[106]) ).
cnf(348,plain,
( op(e3,e4) = e4
| op(e3,e3) = e4
| op(e3,e2) = e4
| op(e3,e1) = e4
| op(e3,e0) = e4 ),
inference(split_conjunct,[status(thm)],[106]) ).
cnf(350,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)],[106]) ).
cnf(358,plain,
( op(e2,e4) = e4
| op(e2,e3) = e4
| op(e2,e2) = e4
| op(e2,e1) = e4
| op(e2,e0) = e4 ),
inference(split_conjunct,[status(thm)],[106]) ).
cnf(359,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)],[106]) ).
cnf(360,plain,
( op(e2,e4) = e3
| op(e2,e3) = e3
| op(e2,e2) = e3
| op(e2,e1) = e3
| op(e2,e0) = e3 ),
inference(split_conjunct,[status(thm)],[106]) ).
cnf(367,plain,
( op(e4,e1) = e4
| op(e3,e1) = e4
| op(e2,e1) = e4
| op(e1,e1) = e4
| op(e0,e1) = e4 ),
inference(split_conjunct,[status(thm)],[106]) ).
cnf(368,plain,
( op(e1,e4) = e4
| op(e1,e3) = e4
| op(e1,e2) = e4
| op(e1,e1) = e4
| op(e1,e0) = e4 ),
inference(split_conjunct,[status(thm)],[106]) ).
cnf(369,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)],[106]) ).
cnf(370,plain,
( op(e1,e4) = e3
| op(e1,e3) = e3
| op(e1,e2) = e3
| op(e1,e1) = e3
| op(e1,e0) = e3 ),
inference(split_conjunct,[status(thm)],[106]) ).
cnf(386,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)],[106]) ).
cnf(387,plain,
op(op(e4,e4),op(e4,e4)) = e4,
inference(split_conjunct,[status(thm)],[107]) ).
cnf(388,plain,
op(op(e3,e4),op(e4,e3)) = e4,
inference(split_conjunct,[status(thm)],[107]) ).
cnf(389,plain,
op(op(e2,e4),op(e4,e2)) = e4,
inference(split_conjunct,[status(thm)],[107]) ).
cnf(390,plain,
op(op(e1,e4),op(e4,e1)) = e4,
inference(split_conjunct,[status(thm)],[107]) ).
cnf(391,plain,
op(op(e0,e4),op(e4,e0)) = e4,
inference(split_conjunct,[status(thm)],[107]) ).
cnf(392,plain,
op(op(e4,e3),op(e3,e4)) = e3,
inference(split_conjunct,[status(thm)],[107]) ).
cnf(394,plain,
op(op(e2,e3),op(e3,e2)) = e3,
inference(split_conjunct,[status(thm)],[107]) ).
cnf(395,plain,
op(op(e1,e3),op(e3,e1)) = e3,
inference(split_conjunct,[status(thm)],[107]) ).
cnf(396,plain,
op(op(e0,e3),op(e3,e0)) = e3,
inference(split_conjunct,[status(thm)],[107]) ).
cnf(397,plain,
op(op(e4,e2),op(e2,e4)) = e2,
inference(split_conjunct,[status(thm)],[107]) ).
cnf(398,plain,
op(op(e3,e2),op(e2,e3)) = e2,
inference(split_conjunct,[status(thm)],[107]) ).
cnf(399,plain,
op(op(e2,e2),op(e2,e2)) = e2,
inference(split_conjunct,[status(thm)],[107]) ).
cnf(401,plain,
op(op(e0,e2),op(e2,e0)) = e2,
inference(split_conjunct,[status(thm)],[107]) ).
cnf(402,plain,
op(op(e4,e1),op(e1,e4)) = e1,
inference(split_conjunct,[status(thm)],[107]) ).
cnf(403,plain,
op(op(e3,e1),op(e1,e3)) = e1,
inference(split_conjunct,[status(thm)],[107]) ).
cnf(404,plain,
op(op(e2,e1),op(e1,e2)) = e1,
inference(split_conjunct,[status(thm)],[107]) ).
cnf(405,plain,
op(op(e1,e1),op(e1,e1)) = e1,
inference(split_conjunct,[status(thm)],[107]) ).
cnf(406,plain,
op(op(e0,e1),op(e1,e0)) = e1,
inference(split_conjunct,[status(thm)],[107]) ).
cnf(407,plain,
op(op(e4,e0),op(e0,e4)) = e0,
inference(split_conjunct,[status(thm)],[107]) ).
cnf(408,plain,
op(op(e3,e0),op(e0,e3)) = e0,
inference(split_conjunct,[status(thm)],[107]) ).
cnf(409,plain,
op(op(e2,e0),op(e0,e2)) = e0,
inference(split_conjunct,[status(thm)],[107]) ).
cnf(410,plain,
op(op(e1,e0),op(e0,e1)) = e0,
inference(split_conjunct,[status(thm)],[107]) ).
cnf(413,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)],[108]) ).
cnf(417,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)],[108]) ).
cnf(421,plain,
( op(e3,e0) = e4
| op(e3,e0) = e3
| op(e3,e0) = e2
| op(e3,e0) = e1
| op(e3,e0) = e0 ),
inference(split_conjunct,[status(thm)],[108]) ).
cnf(427,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)],[108]) ).
cnf(428,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)],[108]) ).
cnf(432,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)],[108]) ).
cnf(437,plain,
op(op(e4,e4),e4) = e4,
inference(split_conjunct,[status(thm)],[109]) ).
cnf(438,plain,
op(op(e4,e3),e3) = e4,
inference(split_conjunct,[status(thm)],[109]) ).
cnf(439,plain,
op(op(e4,e2),e2) = e4,
inference(split_conjunct,[status(thm)],[109]) ).
cnf(440,plain,
op(op(e4,e1),e1) = e4,
inference(split_conjunct,[status(thm)],[109]) ).
cnf(441,plain,
op(op(e4,e0),e0) = e4,
inference(split_conjunct,[status(thm)],[109]) ).
cnf(442,plain,
op(op(e3,e4),e4) = e3,
inference(split_conjunct,[status(thm)],[109]) ).
cnf(445,plain,
op(op(e3,e1),e1) = e3,
inference(split_conjunct,[status(thm)],[109]) ).
cnf(446,plain,
op(op(e3,e0),e0) = e3,
inference(split_conjunct,[status(thm)],[109]) ).
cnf(447,plain,
op(op(e2,e4),e4) = e2,
inference(split_conjunct,[status(thm)],[109]) ).
cnf(448,plain,
op(op(e2,e3),e3) = e2,
inference(split_conjunct,[status(thm)],[109]) ).
cnf(450,plain,
op(op(e2,e1),e1) = e2,
inference(split_conjunct,[status(thm)],[109]) ).
cnf(451,plain,
op(op(e2,e0),e0) = e2,
inference(split_conjunct,[status(thm)],[109]) ).
cnf(452,plain,
op(op(e1,e4),e4) = e1,
inference(split_conjunct,[status(thm)],[109]) ).
cnf(453,plain,
op(op(e1,e3),e3) = e1,
inference(split_conjunct,[status(thm)],[109]) ).
cnf(454,plain,
op(op(e1,e2),e2) = e1,
inference(split_conjunct,[status(thm)],[109]) ).
cnf(456,plain,
op(op(e1,e0),e0) = e1,
inference(split_conjunct,[status(thm)],[109]) ).
cnf(457,plain,
op(op(e0,e4),e4) = e0,
inference(split_conjunct,[status(thm)],[109]) ).
cnf(458,plain,
op(op(e0,e3),e3) = e0,
inference(split_conjunct,[status(thm)],[109]) ).
cnf(459,plain,
op(op(e0,e2),e2) = e0,
inference(split_conjunct,[status(thm)],[109]) ).
cnf(460,plain,
op(op(e0,e1),e1) = e0,
inference(split_conjunct,[status(thm)],[109]) ).
cnf(464,plain,
op(e4,e3) != op(e4,e4),
inference(split_conjunct,[status(thm)],[111]) ).
cnf(466,plain,
op(e4,e2) != op(e4,e3),
inference(split_conjunct,[status(thm)],[111]) ).
cnf(467,plain,
op(e4,e1) != op(e4,e4),
inference(split_conjunct,[status(thm)],[111]) ).
cnf(471,plain,
op(e4,e0) != op(e4,e3),
inference(split_conjunct,[status(thm)],[111]) ).
cnf(472,plain,
op(e4,e0) != op(e4,e2),
inference(split_conjunct,[status(thm)],[111]) ).
cnf(474,plain,
op(e3,e3) != op(e3,e4),
inference(split_conjunct,[status(thm)],[111]) ).
cnf(475,plain,
op(e3,e2) != op(e3,e4),
inference(split_conjunct,[status(thm)],[111]) ).
cnf(476,plain,
op(e3,e2) != op(e3,e3),
inference(split_conjunct,[status(thm)],[111]) ).
cnf(477,plain,
op(e3,e1) != op(e3,e4),
inference(split_conjunct,[status(thm)],[111]) ).
cnf(478,plain,
op(e3,e1) != op(e3,e3),
inference(split_conjunct,[status(thm)],[111]) ).
cnf(479,plain,
op(e3,e1) != op(e3,e2),
inference(split_conjunct,[status(thm)],[111]) ).
cnf(480,plain,
op(e3,e0) != op(e3,e4),
inference(split_conjunct,[status(thm)],[111]) ).
cnf(481,plain,
op(e3,e0) != op(e3,e3),
inference(split_conjunct,[status(thm)],[111]) ).
cnf(482,plain,
op(e3,e0) != op(e3,e2),
inference(split_conjunct,[status(thm)],[111]) ).
cnf(483,plain,
op(e3,e0) != op(e3,e1),
inference(split_conjunct,[status(thm)],[111]) ).
cnf(485,plain,
op(e2,e2) != op(e2,e4),
inference(split_conjunct,[status(thm)],[111]) ).
cnf(487,plain,
op(e2,e1) != op(e2,e4),
inference(split_conjunct,[status(thm)],[111]) ).
cnf(489,plain,
op(e2,e1) != op(e2,e2),
inference(split_conjunct,[status(thm)],[111]) ).
cnf(493,plain,
op(e2,e0) != op(e2,e1),
inference(split_conjunct,[status(thm)],[111]) ).
cnf(497,plain,
op(e1,e1) != op(e1,e4),
inference(split_conjunct,[status(thm)],[111]) ).
cnf(502,plain,
op(e1,e0) != op(e1,e2),
inference(split_conjunct,[status(thm)],[111]) ).
cnf(507,plain,
op(e0,e1) != op(e0,e4),
inference(split_conjunct,[status(thm)],[111]) ).
cnf(509,plain,
op(e0,e1) != op(e0,e2),
inference(split_conjunct,[status(thm)],[111]) ).
cnf(513,plain,
op(e0,e0) != op(e0,e1),
inference(split_conjunct,[status(thm)],[111]) ).
cnf(514,plain,
op(e3,e4) != op(e4,e4),
inference(split_conjunct,[status(thm)],[111]) ).
cnf(515,plain,
op(e2,e4) != op(e4,e4),
inference(split_conjunct,[status(thm)],[111]) ).
cnf(517,plain,
op(e1,e4) != op(e4,e4),
inference(split_conjunct,[status(thm)],[111]) ).
cnf(518,plain,
op(e1,e4) != op(e3,e4),
inference(split_conjunct,[status(thm)],[111]) ).
cnf(519,plain,
op(e1,e4) != op(e2,e4),
inference(split_conjunct,[status(thm)],[111]) ).
cnf(520,plain,
op(e0,e4) != op(e4,e4),
inference(split_conjunct,[status(thm)],[111]) ).
cnf(524,plain,
op(e3,e3) != op(e4,e3),
inference(split_conjunct,[status(thm)],[111]) ).
cnf(526,plain,
op(e2,e3) != op(e3,e3),
inference(split_conjunct,[status(thm)],[111]) ).
cnf(527,plain,
op(e1,e3) != op(e4,e3),
inference(split_conjunct,[status(thm)],[111]) ).
cnf(528,plain,
op(e1,e3) != op(e3,e3),
inference(split_conjunct,[status(thm)],[111]) ).
cnf(529,plain,
op(e1,e3) != op(e2,e3),
inference(split_conjunct,[status(thm)],[111]) ).
cnf(532,plain,
op(e0,e3) != op(e2,e3),
inference(split_conjunct,[status(thm)],[111]) ).
cnf(533,plain,
op(e0,e3) != op(e1,e3),
inference(split_conjunct,[status(thm)],[111]) ).
cnf(534,plain,
op(e3,e2) != op(e4,e2),
inference(split_conjunct,[status(thm)],[111]) ).
cnf(538,plain,
op(e1,e2) != op(e3,e2),
inference(split_conjunct,[status(thm)],[111]) ).
cnf(544,plain,
op(e3,e1) != op(e4,e1),
inference(split_conjunct,[status(thm)],[111]) ).
cnf(546,plain,
op(e2,e1) != op(e3,e1),
inference(split_conjunct,[status(thm)],[111]) ).
cnf(550,plain,
op(e0,e1) != op(e4,e1),
inference(split_conjunct,[status(thm)],[111]) ).
cnf(552,plain,
op(e0,e1) != op(e2,e1),
inference(split_conjunct,[status(thm)],[111]) ).
cnf(554,plain,
op(e3,e0) != op(e4,e0),
inference(split_conjunct,[status(thm)],[111]) ).
cnf(556,plain,
op(e2,e0) != op(e3,e0),
inference(split_conjunct,[status(thm)],[111]) ).
cnf(558,plain,
op(e1,e0) != op(e3,e0),
inference(split_conjunct,[status(thm)],[111]) ).
cnf(561,plain,
op(e0,e0) != op(e3,e0),
inference(split_conjunct,[status(thm)],[111]) ).
cnf(564,plain,
e3 != e4,
inference(split_conjunct,[status(thm)],[112]) ).
cnf(565,plain,
e2 != e4,
inference(split_conjunct,[status(thm)],[112]) ).
cnf(566,plain,
e2 != e3,
inference(split_conjunct,[status(thm)],[112]) ).
cnf(567,plain,
e1 != e4,
inference(split_conjunct,[status(thm)],[112]) ).
cnf(568,plain,
e1 != e3,
inference(split_conjunct,[status(thm)],[112]) ).
cnf(569,plain,
e1 != e2,
inference(split_conjunct,[status(thm)],[112]) ).
cnf(570,plain,
e0 != e4,
inference(split_conjunct,[status(thm)],[112]) ).
cnf(571,plain,
e0 != e3,
inference(split_conjunct,[status(thm)],[112]) ).
cnf(572,plain,
e0 != e2,
inference(split_conjunct,[status(thm)],[112]) ).
cnf(573,plain,
e0 != e1,
inference(split_conjunct,[status(thm)],[112]) ).
cnf(610,plain,
( op(op(e1,e3),e3) = e3
| op(e3,e2) = e3
| op(e3,e4) = e3
| op(e3,e0) = e3
| op(e3,e3) = e3 ),
inference(spm,[status(thm)],[395,350,theory(equality)]) ).
cnf(615,plain,
( e1 = e3
| op(e3,e2) = e3
| op(e3,e4) = e3
| op(e3,e0) = e3
| op(e3,e3) = e3 ),
inference(rw,[status(thm)],[610,453,theory(equality)]) ).
cnf(616,plain,
( op(e3,e2) = e3
| op(e3,e4) = e3
| op(e3,e0) = e3
| op(e3,e3) = e3 ),
inference(sr,[status(thm)],[615,568,theory(equality)]) ).
cnf(821,plain,
( op(e4,e4) = e1
| op(e2,e4) = e4
| op(e4,e4) = e4
| op(e0,e4) = e4
| op(e3,e4) = e4 ),
inference(spm,[status(thm)],[452,337,theory(equality)]) ).
cnf(834,plain,
( op(e2,e4) = e1
| op(e2,e4) = e2
| op(e4,e4) = e2
| op(e0,e4) = e2
| op(e3,e4) = e2 ),
inference(spm,[status(thm)],[452,341,theory(equality)]) ).
cnf(993,plain,
( op(e4,e4) = e1
| op(e2,e1) = e4
| op(e4,e1) = e4
| op(e0,e1) = e4
| op(e3,e1) = e4 ),
inference(spm,[status(thm)],[405,367,theory(equality)]) ).
cnf(1059,plain,
( op(op(e1,e0),e0) = e0
| op(e0,e2) = e0
| op(e0,e4) = e0
| op(e0,e0) = e0
| op(e0,e3) = e0 ),
inference(spm,[status(thm)],[410,386,theory(equality)]) ).
cnf(1066,plain,
( e1 = e0
| op(e0,e2) = e0
| op(e0,e4) = e0
| op(e0,e0) = e0
| op(e0,e3) = e0 ),
inference(rw,[status(thm)],[1059,456,theory(equality)]) ).
cnf(1067,plain,
( op(e0,e2) = e0
| op(e0,e4) = e0
| op(e0,e0) = e0
| op(e0,e3) = e0 ),
inference(sr,[status(thm)],[1066,573,theory(equality)]) ).
cnf(1192,plain,
( op(op(e1,e4),e4) = e4
| op(e4,e2) = e4
| op(e4,e4) = e4
| op(e4,e0) = e4
| op(e4,e3) = e4 ),
inference(spm,[status(thm)],[390,338,theory(equality)]) ).
cnf(1201,plain,
( e1 = e4
| op(e4,e2) = e4
| op(e4,e4) = e4
| op(e4,e0) = e4
| op(e4,e3) = e4 ),
inference(rw,[status(thm)],[1192,452,theory(equality)]) ).
cnf(1202,plain,
( op(e4,e2) = e4
| op(e4,e4) = e4
| op(e4,e0) = e4
| op(e4,e3) = e4 ),
inference(sr,[status(thm)],[1201,567,theory(equality)]) ).
cnf(2018,plain,
( op(op(e2,e3),e3) = e3
| op(e3,e3) = e3
| op(e3,e0) = e3
| op(e3,e4) = e3 ),
inference(spm,[status(thm)],[394,616,theory(equality)]) ).
cnf(2028,plain,
( e2 = e3
| op(e3,e3) = e3
| op(e3,e0) = e3
| op(e3,e4) = e3 ),
inference(rw,[status(thm)],[2018,448,theory(equality)]) ).
cnf(2029,plain,
( op(e3,e3) = e3
| op(e3,e0) = e3
| op(e3,e4) = e3 ),
inference(sr,[status(thm)],[2028,566,theory(equality)]) ).
cnf(2032,plain,
( op(op(e4,e3),e3) = e3
| op(e3,e0) = e3
| op(e3,e3) = e3 ),
inference(spm,[status(thm)],[392,2029,theory(equality)]) ).
cnf(2041,plain,
( e4 = e3
| op(e3,e0) = e3
| op(e3,e3) = e3 ),
inference(rw,[status(thm)],[2032,438,theory(equality)]) ).
cnf(2042,plain,
( op(e3,e0) = e3
| op(e3,e3) = e3 ),
inference(sr,[status(thm)],[2041,564,theory(equality)]) ).
cnf(2045,plain,
( op(op(e0,e3),e3) = e3
| op(e3,e3) = e3 ),
inference(spm,[status(thm)],[396,2042,theory(equality)]) ).
cnf(2053,plain,
( e0 = e3
| op(e3,e3) = e3 ),
inference(rw,[status(thm)],[2045,458,theory(equality)]) ).
cnf(2054,plain,
op(e3,e3) = e3,
inference(sr,[status(thm)],[2053,571,theory(equality)]) ).
cnf(2059,plain,
op(e1,e3) != e3,
inference(rw,[status(thm)],[528,2054,theory(equality)]) ).
cnf(2060,plain,
op(e2,e3) != e3,
inference(rw,[status(thm)],[526,2054,theory(equality)]) ).
cnf(2061,plain,
op(e4,e3) != e3,
inference(rw,[status(thm)],[524,2054,theory(equality)]) ).
cnf(2063,plain,
op(e3,e1) != e3,
inference(rw,[status(thm)],[478,2054,theory(equality)]) ).
cnf(2064,plain,
op(e3,e2) != e3,
inference(rw,[status(thm)],[476,2054,theory(equality)]) ).
cnf(2065,plain,
op(e3,e4) != e3,
inference(rw,[status(thm)],[474,2054,theory(equality)]) ).
cnf(2066,plain,
op(e3,e0) != e3,
inference(rw,[status(thm)],[481,2054,theory(equality)]) ).
cnf(2076,plain,
( op(e1,e3) = e4
| op(e2,e3) = e4
| op(e4,e3) = e4
| op(e0,e3) = e4
| e3 = e4 ),
inference(rw,[status(thm)],[347,2054,theory(equality)]) ).
cnf(2077,plain,
( op(e1,e3) = e4
| op(e2,e3) = e4
| op(e4,e3) = e4
| op(e0,e3) = e4 ),
inference(sr,[status(thm)],[2076,564,theory(equality)]) ).
cnf(2078,plain,
( op(e3,e1) = e4
| op(e3,e2) = e4
| op(e3,e4) = e4
| op(e3,e0) = e4
| e3 = e4 ),
inference(rw,[status(thm)],[348,2054,theory(equality)]) ).
cnf(2079,plain,
( op(e3,e1) = e4
| op(e3,e2) = e4
| op(e3,e4) = e4
| op(e3,e0) = e4 ),
inference(sr,[status(thm)],[2078,564,theory(equality)]) ).
cnf(2090,plain,
( op(e1,e3) = e1
| op(e1,e3) = e2
| op(e1,e3) = e4
| op(e1,e3) = e0 ),
inference(sr,[status(thm)],[428,2059,theory(equality)]) ).
cnf(2091,plain,
( op(e1,e1) = e3
| op(e1,e2) = e3
| op(e1,e4) = e3
| op(e1,e0) = e3 ),
inference(sr,[status(thm)],[370,2059,theory(equality)]) ).
cnf(2093,plain,
( op(e2,e1) = e3
| op(e2,e2) = e3
| op(e2,e4) = e3
| op(e2,e0) = e3 ),
inference(sr,[status(thm)],[360,2060,theory(equality)]) ).
cnf(2094,plain,
( op(e4,e3) = e1
| op(e4,e3) = e2
| op(e4,e3) = e4
| op(e4,e3) = e0 ),
inference(sr,[status(thm)],[413,2061,theory(equality)]) ).
cnf(2095,plain,
( op(e4,e1) = e3
| op(e4,e2) = e3
| op(e4,e4) = e3
| op(e4,e0) = e3 ),
inference(sr,[status(thm)],[340,2061,theory(equality)]) ).
cnf(2099,plain,
( op(e1,e1) = e3
| op(e2,e1) = e3
| op(e4,e1) = e3
| op(e0,e1) = e3 ),
inference(sr,[status(thm)],[369,2063,theory(equality)]) ).
cnf(2136,plain,
( op(e1,e2) = e3
| op(e2,e2) = e3
| op(e4,e2) = e3
| op(e0,e2) = e3 ),
inference(sr,[status(thm)],[359,2064,theory(equality)]) ).
cnf(2137,plain,
( op(e3,e4) = e1
| op(e3,e4) = e2
| op(e3,e4) = e4
| op(e3,e4) = e0 ),
inference(sr,[status(thm)],[417,2065,theory(equality)]) ).
cnf(2138,plain,
( op(e1,e4) = e3
| op(e2,e4) = e3
| op(e4,e4) = e3
| op(e0,e4) = e3 ),
inference(sr,[status(thm)],[339,2065,theory(equality)]) ).
cnf(2139,plain,
( op(e3,e0) = e1
| op(e3,e0) = e2
| op(e3,e0) = e4
| op(e3,e0) = e0 ),
inference(sr,[status(thm)],[421,2066,theory(equality)]) ).
cnf(2143,plain,
( op(op(e2,e0),e0) = e0
| op(e0,e3) = e0
| op(e0,e0) = e0
| op(e0,e4) = e0 ),
inference(spm,[status(thm)],[409,1067,theory(equality)]) ).
cnf(2154,plain,
( e2 = e0
| op(e0,e3) = e0
| op(e0,e0) = e0
| op(e0,e4) = e0 ),
inference(rw,[status(thm)],[2143,451,theory(equality)]) ).
cnf(2155,plain,
( op(e0,e3) = e0
| op(e0,e0) = e0
| op(e0,e4) = e0 ),
inference(sr,[status(thm)],[2154,572,theory(equality)]) ).
cnf(2158,plain,
( op(op(e4,e0),e0) = e0
| op(e0,e0) = e0
| op(e0,e3) = e0 ),
inference(spm,[status(thm)],[407,2155,theory(equality)]) ).
cnf(2168,plain,
( e4 = e0
| op(e0,e0) = e0
| op(e0,e3) = e0 ),
inference(rw,[status(thm)],[2158,441,theory(equality)]) ).
cnf(2169,plain,
( op(e0,e0) = e0
| op(e0,e3) = e0 ),
inference(sr,[status(thm)],[2168,570,theory(equality)]) ).
cnf(2172,plain,
( op(e0,e3) = e0
| e0 != op(e3,e0) ),
inference(spm,[status(thm)],[561,2169,theory(equality)]) ).
cnf(2175,plain,
( op(op(e3,e0),e0) = e0
| op(e3,e0) != e0 ),
inference(spm,[status(thm)],[408,2172,theory(equality)]) ).
cnf(2224,plain,
( e0 = e3
| op(e3,e0) != e0 ),
inference(spm,[status(thm)],[446,2175,theory(equality)]) ).
cnf(2225,plain,
op(e3,e0) != e0,
inference(sr,[status(thm)],[2224,571,theory(equality)]) ).
cnf(2405,plain,
( op(op(e3,e1),e1) = e1
| op(e1,e3) = e0
| op(e1,e3) = e4
| op(e1,e3) = e2 ),
inference(spm,[status(thm)],[403,2090,theory(equality)]) ).
cnf(2422,plain,
( e3 = e1
| op(e1,e3) = e0
| op(e1,e3) = e4
| op(e1,e3) = e2 ),
inference(rw,[status(thm)],[2405,445,theory(equality)]) ).
cnf(2423,plain,
( op(e1,e3) = e0
| op(e1,e3) = e4
| op(e1,e3) = e2 ),
inference(sr,[status(thm)],[2422,568,theory(equality)]) ).
cnf(2430,plain,
( op(e3,e3) = e1
| op(e1,e0) = e3
| op(e1,e4) = e3
| op(e1,e2) = e3 ),
inference(spm,[status(thm)],[405,2091,theory(equality)]) ).
cnf(2447,plain,
( e3 = e1
| op(e1,e0) = e3
| op(e1,e4) = e3
| op(e1,e2) = e3 ),
inference(rw,[status(thm)],[2430,2054,theory(equality)]) ).
cnf(2448,plain,
( op(e1,e0) = e3
| op(e1,e4) = e3
| op(e1,e2) = e3 ),
inference(sr,[status(thm)],[2447,568,theory(equality)]) ).
cnf(2459,plain,
( op(e2,e3) = e1
| op(e1,e3) = e4
| op(e1,e3) = e0 ),
inference(spm,[status(thm)],[453,2423,theory(equality)]) ).
cnf(2478,plain,
( op(e3,e2) = e1
| op(e1,e4) = e3
| op(e1,e0) = e3 ),
inference(spm,[status(thm)],[454,2448,theory(equality)]) ).
cnf(2517,plain,
( op(e3,e1) = e2
| op(e2,e0) = e3
| op(e2,e4) = e3
| op(e2,e2) = e3 ),
inference(spm,[status(thm)],[450,2093,theory(equality)]) ).
cnf(2521,plain,
( op(e2,e0) = e3
| op(e2,e4) = e3
| op(e2,e2) = e3
| e3 != op(e0,e1) ),
inference(spm,[status(thm)],[552,2093,theory(equality)]) ).
cnf(2531,plain,
( op(e2,e0) = e3
| op(e2,e4) = e3
| op(e2,e2) = e3
| op(e3,op(e1,e3)) != e4
| op(e1,e3) != e0 ),
inference(spm,[status(thm)],[266,2093,theory(equality)]) ).
cnf(2546,plain,
( op(e4,e3) = e1
| op(e1,e3) = e0
| op(e2,e3) = e1 ),
inference(spm,[status(thm)],[453,2459,theory(equality)]) ).
cnf(2549,plain,
( op(e1,e3) = e0
| op(e2,e3) = e1
| e4 != op(e0,e3) ),
inference(spm,[status(thm)],[533,2459,theory(equality)]) ).
cnf(2551,plain,
( op(e1,e3) = e0
| op(e2,e3) = e1
| e4 != op(e2,e3) ),
inference(spm,[status(thm)],[529,2459,theory(equality)]) ).
cnf(2695,plain,
( op(e3,e4) = e1
| op(e1,e0) = e3
| op(e3,e2) = e1 ),
inference(spm,[status(thm)],[452,2478,theory(equality)]) ).
cnf(2802,plain,
( op(e3,e3) = e1
| op(e0,e1) = e3
| op(e4,e1) = e3
| op(e2,e1) = e3 ),
inference(spm,[status(thm)],[405,2099,theory(equality)]) ).
cnf(2819,plain,
( e3 = e1
| op(e0,e1) = e3
| op(e4,e1) = e3
| op(e2,e1) = e3 ),
inference(rw,[status(thm)],[2802,2054,theory(equality)]) ).
cnf(2820,plain,
( op(e0,e1) = e3
| op(e4,e1) = e3
| op(e2,e1) = e3 ),
inference(sr,[status(thm)],[2819,568,theory(equality)]) ).
cnf(2829,plain,
( op(e3,e1) = e2
| op(e4,e1) = e3
| op(e0,e1) = e3 ),
inference(spm,[status(thm)],[450,2820,theory(equality)]) ).
cnf(2857,plain,
( op(e2,e3) = e1
| op(e4,e3) = e1
| e0 != op(e4,e3) ),
inference(spm,[status(thm)],[527,2546,theory(equality)]) ).
cnf(2874,plain,
( op(e0,e3) = e1
| op(e2,e3) = e1
| op(e0,e3) != e4 ),
inference(spm,[status(thm)],[453,2549,theory(equality)]) ).
cnf(2929,plain,
( op(e3,e2) = e1
| op(e0,e2) = e3
| op(e4,e2) = e3
| op(e2,e2) = e3 ),
inference(spm,[status(thm)],[454,2136,theory(equality)]) ).
cnf(2951,plain,
( op(e0,e3) = e1
| op(e2,e3) = e1
| op(e2,e3) != e4 ),
inference(spm,[status(thm)],[453,2551,theory(equality)]) ).
cnf(3122,plain,
( op(e3,e0) = e1
| op(e3,e0) = e2
| op(e3,e0) = e4 ),
inference(sr,[status(thm)],[2139,2225,theory(equality)]) ).
cnf(3125,plain,
( op(e1,e0) = e3
| op(e3,e0) = e4
| op(e3,e0) = e2 ),
inference(spm,[status(thm)],[446,3122,theory(equality)]) ).
cnf(3313,plain,
( op(op(e0,e1),e3) = e1
| op(e3,e2) = e1
| op(e3,e4) = e1 ),
inference(spm,[status(thm)],[406,2695,theory(equality)]) ).
cnf(3680,plain,
( op(e3,e1) = e4
| op(e0,e1) = e3
| op(e3,e1) = e2 ),
inference(spm,[status(thm)],[440,2829,theory(equality)]) ).
cnf(3682,plain,
( op(op(e1,e4),e3) = e4
| op(e0,e1) = e3
| op(e3,e1) = e2 ),
inference(spm,[status(thm)],[390,2829,theory(equality)]) ).
cnf(3731,plain,
( op(e1,e3) = e2
| op(e4,e3) = e1
| op(e4,e3) != e0 ),
inference(spm,[status(thm)],[448,2857,theory(equality)]) ).
cnf(3734,plain,
( op(e4,e3) = e1
| e1 != op(e0,e3)
| op(e4,e3) != e0 ),
inference(spm,[status(thm)],[532,2857,theory(equality)]) ).
cnf(3755,plain,
( op(e0,e3) = e1
| op(e1,op(e3,e1)) != e4
| op(e3,e1) != e0
| op(e0,e3) != e4 ),
inference(spm,[status(thm)],[134,2874,theory(equality)]) ).
cnf(4774,plain,
( op(e3,e1) = e0
| op(e3,e1) = e2
| op(e3,e1) = e4 ),
inference(spm,[status(thm)],[460,3680,theory(equality)]) ).
cnf(4780,plain,
( op(e3,e1) = e2
| op(e3,e1) = e4
| e3 != op(e0,e4) ),
inference(spm,[status(thm)],[507,3680,theory(equality)]) ).
cnf(4781,plain,
( op(e3,e1) = e2
| op(e3,e1) = e4
| e3 != op(e0,e2) ),
inference(spm,[status(thm)],[509,3680,theory(equality)]) ).
cnf(4991,plain,
( op(e2,e3) = e1
| e2 = e0
| op(e4,e3) = e1
| op(e0,e3) != e4
| op(e4,e3) != e0 ),
inference(spm,[status(thm)],[2549,3731,theory(equality)]) ).
cnf(5023,plain,
( op(e2,e3) = e1
| op(e4,e3) = e1
| op(e0,e3) != e4
| op(e4,e3) != e0 ),
inference(sr,[status(thm)],[4991,572,theory(equality)]) ).
cnf(5672,plain,
( op(e2,e1) = e3
| op(e3,e1) = e4
| op(e3,e1) = e0 ),
inference(spm,[status(thm)],[445,4774,theory(equality)]) ).
cnf(5675,plain,
( op(e3,e1) = e4
| op(e3,e1) = e0
| e2 != op(e3,e0) ),
inference(spm,[status(thm)],[483,4774,theory(equality)]) ).
cnf(5676,plain,
( op(e3,e1) = e4
| op(e3,e1) = e0
| e2 != op(e3,e4) ),
inference(spm,[status(thm)],[477,4774,theory(equality)]) ).
cnf(6090,plain,
( op(e3,e1) = e0
| op(e3,e1) = e4
| e3 != op(e2,e0) ),
inference(spm,[status(thm)],[493,5672,theory(equality)]) ).
cnf(6091,plain,
( op(e3,e1) = e0
| op(e3,e1) = e4
| e3 != op(e2,e4) ),
inference(spm,[status(thm)],[487,5672,theory(equality)]) ).
cnf(6092,plain,
( op(e3,e1) = e0
| op(e3,e1) = e4
| e3 != op(e2,e2) ),
inference(spm,[status(thm)],[489,5672,theory(equality)]) ).
cnf(6118,plain,
( op(e4,e1) = e3
| op(e3,e1) = e0
| op(e3,e0) != e2 ),
inference(spm,[status(thm)],[445,5675,theory(equality)]) ).
cnf(6121,plain,
( op(e3,e1) = e0
| e4 != op(e3,e0)
| op(e3,e0) != e2 ),
inference(spm,[status(thm)],[483,5675,theory(equality)]) ).
cnf(6123,plain,
( op(e3,e1) = e0
| e4 != op(e3,e2)
| op(e3,e0) != e2 ),
inference(spm,[status(thm)],[479,5675,theory(equality)]) ).
cnf(6173,plain,
( op(e4,e1) = e3
| op(e3,e1) = e0
| op(e3,e4) != e2 ),
inference(spm,[status(thm)],[445,5676,theory(equality)]) ).
cnf(6176,plain,
( op(e3,e1) = e0
| e4 != op(e3,e0)
| op(e3,e4) != e2 ),
inference(spm,[status(thm)],[483,5676,theory(equality)]) ).
cnf(6182,plain,
( op(e3,e1) = e0
| op(e4,op(e1,e4)) != e2
| op(e1,e4) != e0
| op(e3,e4) != e2 ),
inference(spm,[status(thm)],[284,5676,theory(equality)]) ).
cnf(6327,plain,
( op(e3,e1) = e0
| op(e3,op(e1,e3)) != e2
| op(e1,e3) != e0
| op(e3,e0) != e2 ),
inference(spm,[status(thm)],[264,6118,theory(equality)]) ).
cnf(6349,plain,
( e0 != op(e3,e2)
| op(e3,e0) != e4
| op(e3,e0) != e2 ),
inference(spm,[status(thm)],[479,6121,theory(equality)]) ).
cnf(6374,plain,
( op(e0,e1) = e3
| op(e3,e2) != e4
| op(e3,e0) != e2 ),
inference(spm,[status(thm)],[445,6123,theory(equality)]) ).
cnf(6412,plain,
( op(e3,op(e1,e4)) = e1
| op(e3,e1) = e0
| op(e3,e4) != e2 ),
inference(spm,[status(thm)],[402,6173,theory(equality)]) ).
cnf(6413,plain,
( op(op(e1,e4),e3) = e4
| op(e3,e1) = e0
| op(e3,e4) != e2 ),
inference(spm,[status(thm)],[390,6173,theory(equality)]) ).
cnf(6441,plain,
( op(e0,e1) = e3
| op(e3,e0) != e4
| op(e3,e4) != e2 ),
inference(spm,[status(thm)],[445,6176,theory(equality)]) ).
cnf(6693,plain,
( op(e3,op(e1,e3)) != e4
| op(e1,e3) != e2
| op(e3,e2) != e4
| op(e3,e0) != e2 ),
inference(spm,[status(thm)],[262,6374,theory(equality)]) ).
cnf(6827,plain,
( e3 != op(e0,e2)
| op(e3,e0) != e4
| op(e3,e4) != e2 ),
inference(spm,[status(thm)],[509,6441,theory(equality)]) ).
cnf(6831,plain,
( op(e3,op(e1,e3)) != e2
| op(e1,e3) != e4
| op(e3,e0) != e4
| op(e3,e4) != e2 ),
inference(spm,[status(thm)],[258,6441,theory(equality)]) ).
cnf(8168,plain,
( op(op(e2,e4),e4) = e4
| op(e4,e3) = e4
| op(e4,e0) = e4
| op(e4,e4) = e4 ),
inference(spm,[status(thm)],[389,1202,theory(equality)]) ).
cnf(8193,plain,
( e2 = e4
| op(e4,e3) = e4
| op(e4,e0) = e4
| op(e4,e4) = e4 ),
inference(rw,[status(thm)],[8168,447,theory(equality)]) ).
cnf(8194,plain,
( op(e4,e3) = e4
| op(e4,e0) = e4
| op(e4,e4) = e4 ),
inference(sr,[status(thm)],[8193,565,theory(equality)]) ).
cnf(8197,plain,
( op(e4,e0) = e4
| op(e4,e3) = e4
| e4 != op(e3,e4) ),
inference(spm,[status(thm)],[514,8194,theory(equality)]) ).
cnf(8198,plain,
( op(e4,e0) = e4
| op(e4,e3) = e4
| e4 != op(e0,e4) ),
inference(spm,[status(thm)],[520,8194,theory(equality)]) ).
cnf(8212,plain,
( op(op(e0,e4),e4) = e4
| op(e4,e3) = e4
| op(e3,e4) != e4 ),
inference(spm,[status(thm)],[391,8197,theory(equality)]) ).
cnf(8232,plain,
( e0 = e4
| op(e4,e3) = e4
| op(e3,e4) != e4 ),
inference(rw,[status(thm)],[8212,457,theory(equality)]) ).
cnf(8233,plain,
( op(e4,e3) = e4
| op(e3,e4) != e4 ),
inference(sr,[status(thm)],[8232,570,theory(equality)]) ).
cnf(8235,plain,
( op(op(e3,e4),e4) = e4
| op(e3,e4) != e4 ),
inference(spm,[status(thm)],[388,8233,theory(equality)]) ).
cnf(8279,plain,
( e4 = e3
| op(e3,e4) != e4 ),
inference(spm,[status(thm)],[442,8235,theory(equality)]) ).
cnf(8281,plain,
op(e3,e4) != e4,
inference(sr,[status(thm)],[8279,564,theory(equality)]) ).
cnf(8290,plain,
( op(e3,e0) = e4
| op(e3,e2) = e4
| op(e3,e1) = e4 ),
inference(sr,[status(thm)],[2079,8281,theory(equality)]) ).
cnf(8291,plain,
( op(e3,e4) = e0
| op(e3,e4) = e2
| op(e3,e4) = e1 ),
inference(sr,[status(thm)],[2137,8281,theory(equality)]) ).
cnf(8292,plain,
( op(e0,e4) = e4
| op(e4,e4) = e4
| op(e2,e4) = e4
| op(e4,e4) = e1 ),
inference(sr,[status(thm)],[821,8281,theory(equality)]) ).
cnf(8335,plain,
( op(op(e0,e4),e4) = e4
| op(e4,e3) = e4
| op(e0,e4) != e4 ),
inference(spm,[status(thm)],[391,8198,theory(equality)]) ).
cnf(8355,plain,
( e0 = e4
| op(e4,e3) = e4
| op(e0,e4) != e4 ),
inference(rw,[status(thm)],[8335,457,theory(equality)]) ).
cnf(8356,plain,
( op(e4,e3) = e4
| op(e0,e4) != e4 ),
inference(sr,[status(thm)],[8355,570,theory(equality)]) ).
cnf(8358,plain,
( op(op(e3,e4),e4) = e4
| op(e0,e4) != e4 ),
inference(spm,[status(thm)],[388,8356,theory(equality)]) ).
cnf(8441,plain,
( op(e3,e4) = e2
| op(e3,e4) = e0
| e1 != op(e3,e0) ),
inference(spm,[status(thm)],[480,8291,theory(equality)]) ).
cnf(8556,plain,
( e4 = e3
| op(e0,e4) != e4 ),
inference(spm,[status(thm)],[442,8358,theory(equality)]) ).
cnf(8558,plain,
op(e0,e4) != e4,
inference(sr,[status(thm)],[8556,564,theory(equality)]) ).
cnf(8600,plain,
( op(e0,e4) = e1
| op(e0,e4) = e2
| op(e0,e4) = e0
| op(e0,e4) = e3 ),
inference(sr,[status(thm)],[432,8558,theory(equality)]) ).
cnf(8607,plain,
( op(e4,e4) = e1
| op(e2,e4) = e4
| op(e4,e4) = e4 ),
inference(sr,[status(thm)],[8292,8558,theory(equality)]) ).
cnf(8733,plain,
( op(e4,e4) = e2
| op(e4,e4) = e4
| op(e4,e4) = e1 ),
inference(spm,[status(thm)],[447,8607,theory(equality)]) ).
cnf(8774,plain,
( op(e1,e4) = e0
| op(e0,e4) = e3
| op(e0,e4) = e0
| op(e0,e4) = e2 ),
inference(spm,[status(thm)],[457,8600,theory(equality)]) ).
cnf(8831,plain,
( op(e2,e4) = e3
| op(e3,e4) = e0
| op(e3,e0) != e1 ),
inference(spm,[status(thm)],[442,8441,theory(equality)]) ).
cnf(9067,plain,
( op(e1,e4) = e4
| op(e4,e4) = e4
| op(e4,e4) = e2 ),
inference(spm,[status(thm)],[437,8733,theory(equality)]) ).
cnf(9068,plain,
( op(e1,e1) = e4
| op(e4,e4) = e4
| op(e4,e4) = e2 ),
inference(spm,[status(thm)],[387,8733,theory(equality)]) ).
cnf(9440,plain,
( op(e4,e4) = e2
| op(e4,e4) = e4
| e4 != op(e1,e4) ),
inference(spm,[status(thm)],[497,9068,theory(equality)]) ).
cnf(9831,plain,
( op(e4,e4) = e2
| op(e4,e4) = e4 ),
inference(csr,[status(thm)],[9440,9067]) ).
cnf(9833,plain,
( op(e2,e4) = e4
| op(e4,e4) = e4 ),
inference(spm,[status(thm)],[437,9831,theory(equality)]) ).
cnf(9834,plain,
( op(e2,e2) = e4
| op(e4,e4) = e4 ),
inference(spm,[status(thm)],[387,9831,theory(equality)]) ).
cnf(9902,plain,
( op(e4,e4) = e4
| e4 != op(e2,e4) ),
inference(spm,[status(thm)],[485,9834,theory(equality)]) ).
cnf(10120,plain,
op(e4,e4) = e4,
inference(csr,[status(thm)],[9902,9833]) ).
cnf(10125,plain,
op(e1,e4) != e4,
inference(rw,[status(thm)],[517,10120,theory(equality)]) ).
cnf(10126,plain,
op(e2,e4) != e4,
inference(rw,[status(thm)],[515,10120,theory(equality)]) ).
cnf(10127,plain,
op(e4,e1) != e4,
inference(rw,[status(thm)],[467,10120,theory(equality)]) ).
cnf(10130,plain,
e4 != op(e4,e3),
inference(rw,[status(thm)],[464,10120,theory(equality)]) ).
cnf(10154,plain,
( op(e3,e1) = e4
| op(e0,e1) = e4
| op(e4,e1) = e4
| op(e2,e1) = e4
| e4 = e1 ),
inference(rw,[status(thm)],[993,10120,theory(equality)]) ).
cnf(10155,plain,
( op(e3,e1) = e4
| op(e0,e1) = e4
| op(e4,e1) = e4
| op(e2,e1) = e4 ),
inference(sr,[status(thm)],[10154,567,theory(equality)]) ).
cnf(10185,plain,
( op(e3,e4) = e2
| op(e0,e4) = e2
| e4 = e2
| op(e2,e4) = e2
| op(e2,e4) = e1 ),
inference(rw,[status(thm)],[834,10120,theory(equality)]) ).
cnf(10186,plain,
( op(e3,e4) = e2
| op(e0,e4) = e2
| op(e2,e4) = e2
| op(e2,e4) = e1 ),
inference(sr,[status(thm)],[10185,565,theory(equality)]) ).
cnf(10201,plain,
( op(e0,e4) = e3
| e4 = e3
| op(e2,e4) = e3
| op(e1,e4) = e3 ),
inference(rw,[status(thm)],[2138,10120,theory(equality)]) ).
cnf(10202,plain,
( op(e0,e4) = e3
| op(e2,e4) = e3
| op(e1,e4) = e3 ),
inference(sr,[status(thm)],[10201,564,theory(equality)]) ).
cnf(10203,plain,
( op(e4,e0) = e3
| e4 = e3
| op(e4,e2) = e3
| op(e4,e1) = e3 ),
inference(rw,[status(thm)],[2095,10120,theory(equality)]) ).
cnf(10204,plain,
( op(e4,e0) = e3
| op(e4,e2) = e3
| op(e4,e1) = e3 ),
inference(sr,[status(thm)],[10203,564,theory(equality)]) ).
cnf(10222,plain,
( op(e1,e1) = e4
| op(e1,e2) = e4
| op(e1,e0) = e4
| op(e1,e3) = e4 ),
inference(sr,[status(thm)],[368,10125,theory(equality)]) ).
cnf(10223,plain,
( op(e1,e4) = e1
| op(e1,e4) = e2
| op(e1,e4) = e0
| op(e1,e4) = e3 ),
inference(sr,[status(thm)],[427,10125,theory(equality)]) ).
cnf(10225,plain,
( op(e2,e1) = e4
| op(e2,e2) = e4
| op(e2,e0) = e4
| op(e2,e3) = e4 ),
inference(sr,[status(thm)],[358,10126,theory(equality)]) ).
cnf(10255,plain,
( op(e0,e3) = e4
| op(e2,e3) = e4
| op(e1,e3) = e4 ),
inference(sr,[status(thm)],[2077,10130,theory(equality)]) ).
cnf(10256,plain,
( op(e4,e3) = e0
| op(e4,e3) = e2
| op(e4,e3) = e1 ),
inference(sr,[status(thm)],[2094,10130,theory(equality)]) ).
cnf(10257,plain,
( op(e3,e1) = e4
| op(e0,e1) = e4
| op(e2,e1) = e4 ),
inference(sr,[status(thm)],[10155,10127,theory(equality)]) ).
cnf(10258,plain,
( op(e4,e1) = e2
| op(e0,e1) = e4
| op(e3,e1) = e4 ),
inference(spm,[status(thm)],[450,10257,theory(equality)]) ).
cnf(10358,plain,
( op(e3,e4) = e1
| op(e2,e4) = e3
| op(e0,e4) = e3 ),
inference(spm,[status(thm)],[452,10202,theory(equality)]) ).
cnf(10468,plain,
( op(e4,e2) = e3
| op(e4,e0) = e3
| e3 != op(e0,e1) ),
inference(spm,[status(thm)],[550,10204,theory(equality)]) ).
cnf(10523,plain,
( op(e4,e3) = e1
| op(e2,e3) = e4
| op(e0,e3) = e4 ),
inference(spm,[status(thm)],[453,10255,theory(equality)]) ).
cnf(10601,plain,
( op(e1,e3) = e4
| op(e4,e3) = e2
| op(e4,e3) = e0 ),
inference(spm,[status(thm)],[438,10256,theory(equality)]) ).
cnf(10695,plain,
( op(e3,e1) = e4
| op(e0,e1) = e4
| e2 != op(e3,e1) ),
inference(spm,[status(thm)],[544,10258,theory(equality)]) ).
cnf(10831,plain,
( op(e3,e4) = e2
| op(e0,e4) = e3
| op(e3,e4) = e1 ),
inference(spm,[status(thm)],[447,10358,theory(equality)]) ).
cnf(11141,plain,
( op(e3,e2) = e4
| op(e4,e0) = e3
| op(e0,e1) != e3 ),
inference(spm,[status(thm)],[439,10468,theory(equality)]) ).
cnf(11142,plain,
( op(e3,op(e2,e4)) = e2
| op(e4,e0) = e3
| op(e0,e1) != e3 ),
inference(spm,[status(thm)],[397,10468,theory(equality)]) ).
cnf(11204,plain,
( op(e4,e4) = e1
| op(e1,e3) = e4
| op(e1,e0) = e4
| op(e1,e2) = e4 ),
inference(spm,[status(thm)],[405,10222,theory(equality)]) ).
cnf(11221,plain,
( e4 = e1
| op(e1,e3) = e4
| op(e1,e0) = e4
| op(e1,e2) = e4 ),
inference(rw,[status(thm)],[11204,10120,theory(equality)]) ).
cnf(11222,plain,
( op(e1,e3) = e4
| op(e1,e0) = e4
| op(e1,e2) = e4 ),
inference(sr,[status(thm)],[11221,567,theory(equality)]) ).
cnf(11231,plain,
( op(e4,e2) = e1
| op(e1,e0) = e4
| op(e1,e3) = e4 ),
inference(spm,[status(thm)],[454,11222,theory(equality)]) ).
cnf(11388,plain,
( op(op(e4,e1),e1) = e1
| op(e1,e4) = e3
| op(e1,e4) = e0
| op(e1,e4) = e2 ),
inference(spm,[status(thm)],[402,10223,theory(equality)]) ).
cnf(11418,plain,
( e4 = e1
| op(e1,e4) = e3
| op(e1,e4) = e0
| op(e1,e4) = e2 ),
inference(rw,[status(thm)],[11388,440,theory(equality)]) ).
cnf(11419,plain,
( op(e1,e4) = e3
| op(e1,e4) = e0
| op(e1,e4) = e2 ),
inference(sr,[status(thm)],[11418,567,theory(equality)]) ).
cnf(11430,plain,
( op(e4,e1) = e2
| op(e2,e3) = e4
| op(e2,e0) = e4
| op(e2,e2) = e4 ),
inference(spm,[status(thm)],[450,10225,theory(equality)]) ).
cnf(11556,plain,
( op(e2,e4) = e1
| op(e1,e4) = e0
| op(e1,e4) = e3 ),
inference(spm,[status(thm)],[452,11419,theory(equality)]) ).
cnf(11559,plain,
( op(e1,e4) = e0
| op(e1,e4) = e3
| e2 != op(e3,e4) ),
inference(spm,[status(thm)],[518,11419,theory(equality)]) ).
cnf(11642,plain,
( op(e4,e3) = e0
| op(e4,e3) = e2
| e4 != op(e0,e3) ),
inference(spm,[status(thm)],[533,10601,theory(equality)]) ).
cnf(11832,plain,
( op(e4,e1) = e0
| op(e3,e1) = e4
| op(e3,e1) != e2 ),
inference(spm,[status(thm)],[460,10695,theory(equality)]) ).
cnf(11837,plain,
( op(e3,e1) = e4
| e4 != op(e0,e0)
| op(e3,e1) != e2 ),
inference(spm,[status(thm)],[513,10695,theory(equality)]) ).
cnf(12020,plain,
( op(e3,e1) = e4
| op(e3,e1) = e2
| op(e3,e4) = e1
| op(e3,e4) = e2 ),
inference(spm,[status(thm)],[4780,10831,theory(equality)]) ).
cnf(12565,plain,
( op(e4,e0) = e1
| op(e1,e3) = e4
| op(e4,e2) = e1 ),
inference(spm,[status(thm)],[456,11231,theory(equality)]) ).
cnf(12568,plain,
( op(e1,e3) = e4
| op(e4,e2) = e1
| e4 != op(e3,e0) ),
inference(spm,[status(thm)],[558,11231,theory(equality)]) ).
cnf(12594,plain,
( op(e3,e0) = e2
| op(e3,e0) = e4
| e4 = e3
| op(e1,e3) = e4
| op(e4,e2) = e1 ),
inference(spm,[status(thm)],[3125,11231,theory(equality)]) ).
cnf(12630,plain,
( op(e3,e0) = e2
| op(e3,e0) = e4
| op(e1,e3) = e4
| op(e4,e2) = e1 ),
inference(sr,[status(thm)],[12594,564,theory(equality)]) ).
cnf(13279,plain,
( op(e0,e4) = e1
| op(e1,e4) = e3
| op(e2,e4) = e1 ),
inference(spm,[status(thm)],[452,11556,theory(equality)]) ).
cnf(13282,plain,
( op(e1,e4) = e3
| op(e2,e4) = e1
| e0 != op(e3,e4) ),
inference(spm,[status(thm)],[518,11556,theory(equality)]) ).
cnf(13319,plain,
( op(e0,e4) = e1
| op(e1,e4) = e3
| op(e3,e4) != e2 ),
inference(spm,[status(thm)],[452,11559,theory(equality)]) ).
cnf(13515,plain,
( op(e2,e3) = e4
| op(e4,e3) = e0
| op(e0,e3) != e4 ),
inference(spm,[status(thm)],[438,11642,theory(equality)]) ).
cnf(13727,plain,
( op(op(e1,e4),e0) = e4
| op(e3,e1) = e4
| op(e3,e1) != e2 ),
inference(spm,[status(thm)],[390,11832,theory(equality)]) ).
cnf(14411,plain,
( op(e4,e3) = e1
| op(e4,e2) = e1
| op(e4,e0) = e1 ),
inference(spm,[status(thm)],[453,12565,theory(equality)]) ).
cnf(14414,plain,
( op(e4,e2) = e1
| op(e4,e0) = e1
| e4 != op(e0,e3) ),
inference(spm,[status(thm)],[533,12565,theory(equality)]) ).
cnf(14603,plain,
( op(e4,e3) = e1
| op(e4,e2) = e1
| op(e3,e0) != e4 ),
inference(spm,[status(thm)],[453,12568,theory(equality)]) ).
cnf(16237,plain,
( op(e2,e4) = e1
| op(e0,e4) = e1
| e3 != op(e2,e4) ),
inference(spm,[status(thm)],[519,13279,theory(equality)]) ).
cnf(16265,plain,
( op(e3,e4) = e1
| op(e2,e4) = e1
| op(e3,e4) != e0 ),
inference(spm,[status(thm)],[452,13282,theory(equality)]) ).
cnf(17659,plain,
( op(e4,e3) = e0
| e4 != op(e0,e3) ),
inference(spm,[status(thm)],[532,13515,theory(equality)]) ).
cnf(17758,plain,
( e0 = e1
| op(e0,e3) != e1
| op(e0,e3) != e4 ),
inference(spm,[status(thm)],[3734,17659,theory(equality)]) ).
cnf(17783,plain,
( op(e0,e3) != e1
| op(e0,e3) != e4 ),
inference(sr,[status(thm)],[17758,573,theory(equality)]) ).
cnf(18197,plain,
( op(e4,e0) = e1
| op(e4,e3) = e1
| e1 != op(e3,e2) ),
inference(spm,[status(thm)],[534,14411,theory(equality)]) ).
cnf(18228,plain,
( op(e1,e2) = e4
| op(e4,e0) = e1
| op(e0,e3) != e4 ),
inference(spm,[status(thm)],[439,14414,theory(equality)]) ).
cnf(18233,plain,
( op(e4,e0) = e1
| e1 != op(e4,e3)
| op(e0,e3) != e4 ),
inference(spm,[status(thm)],[466,14414,theory(equality)]) ).
cnf(18314,plain,
( op(e4,e3) = e1
| e1 != op(e4,e0)
| op(e3,e0) != e4 ),
inference(spm,[status(thm)],[472,14603,theory(equality)]) ).
cnf(20166,plain,
( op(e1,e4) = e2
| op(e3,e4) = e1
| op(e3,e4) != e0 ),
inference(spm,[status(thm)],[447,16265,theory(equality)]) ).
cnf(25268,plain,
( op(op(e2,e1),e4) = e1
| op(e4,e0) = e1
| op(e0,e3) != e4 ),
inference(spm,[status(thm)],[404,18228,theory(equality)]) ).
cnf(25480,plain,
( e1 != op(e4,e3)
| op(e0,e3) != e4 ),
inference(spm,[status(thm)],[471,18233,theory(equality)]) ).
cnf(36815,plain,
( op(e3,e3) = e1
| op(e3,e4) = e1
| op(e3,e2) = e1
| op(e3,e1) = e2
| op(e3,e1) = e4 ),
inference(spm,[status(thm)],[3313,3680,theory(equality)]) ).
cnf(36838,plain,
( e3 = e1
| op(e3,e4) = e1
| op(e3,e2) = e1
| op(e3,e1) = e2
| op(e3,e1) = e4 ),
inference(rw,[status(thm)],[36815,2054,theory(equality)]) ).
cnf(36839,plain,
( op(e3,e4) = e1
| op(e3,e2) = e1
| op(e3,e1) = e2
| op(e3,e1) = e4 ),
inference(sr,[status(thm)],[36838,568,theory(equality)]) ).
cnf(39558,plain,
( op(e3,e3) = e2
| op(e2,e4) = e3
| op(e2,e0) = e3
| op(e3,e1) = e2 ),
inference(spm,[status(thm)],[399,2517,theory(equality)]) ).
cnf(39611,plain,
( e3 = e2
| op(e2,e4) = e3
| op(e2,e0) = e3
| op(e3,e1) = e2 ),
inference(rw,[status(thm)],[39558,2054,theory(equality)]) ).
cnf(39612,plain,
( op(e2,e4) = e3
| op(e2,e0) = e3
| op(e3,e1) = e2 ),
inference(sr,[status(thm)],[39611,566,theory(equality)]) ).
cnf(39670,plain,
( op(e0,e4) = e1
| e3 = e1
| op(e3,e1) = e2
| op(e2,e0) = e3 ),
inference(spm,[status(thm)],[16237,39612,theory(equality)]) ).
cnf(39711,plain,
( op(e0,e4) = e1
| op(e3,e1) = e2
| op(e2,e0) = e3 ),
inference(sr,[status(thm)],[39670,568,theory(equality)]) ).
cnf(39721,plain,
( op(e3,e0) = e2
| op(e3,e1) = e2
| op(e0,e4) = e1 ),
inference(spm,[status(thm)],[451,39711,theory(equality)]) ).
cnf(40085,plain,
( op(e1,e4) = e0
| op(e3,e1) = e2
| op(e3,e0) = e2 ),
inference(spm,[status(thm)],[457,39721,theory(equality)]) ).
cnf(40382,plain,
( op(e3,e3) = e2
| op(e2,e4) = e3
| op(e2,e0) = e3
| op(e0,e1) != e3 ),
inference(spm,[status(thm)],[399,2521,theory(equality)]) ).
cnf(40435,plain,
( e3 = e2
| op(e2,e4) = e3
| op(e2,e0) = e3
| op(e0,e1) != e3 ),
inference(rw,[status(thm)],[40382,2054,theory(equality)]) ).
cnf(40436,plain,
( op(e2,e4) = e3
| op(e2,e0) = e3
| op(e0,e1) != e3 ),
inference(sr,[status(thm)],[40435,566,theory(equality)]) ).
cnf(46628,plain,
( op(e3,e3) = e1
| op(e3,e1) = e0
| op(e0,e4) = e1
| op(e3,e4) != e2 ),
inference(spm,[status(thm)],[6412,13319,theory(equality)]) ).
cnf(46691,plain,
( e3 = e1
| op(e3,e1) = e0
| op(e0,e4) = e1
| op(e3,e4) != e2 ),
inference(rw,[status(thm)],[46628,2054,theory(equality)]) ).
cnf(46692,plain,
( op(e3,e1) = e0
| op(e0,e4) = e1
| op(e3,e4) != e2 ),
inference(sr,[status(thm)],[46691,568,theory(equality)]) ).
cnf(46755,plain,
( op(e1,e4) = e0
| op(e3,e1) = e0
| op(e3,e4) != e2 ),
inference(spm,[status(thm)],[457,46692,theory(equality)]) ).
cnf(47762,plain,
( op(e0,e3) = e4
| op(e3,e1) = e0
| op(e3,e4) != e2 ),
inference(spm,[status(thm)],[6413,46755,theory(equality)]) ).
cnf(52705,plain,
( op(e3,e3) = e2
| op(e4,e2) = e3
| op(e0,e2) = e3
| op(e3,e2) = e1 ),
inference(spm,[status(thm)],[399,2929,theory(equality)]) ).
cnf(52764,plain,
( e3 = e2
| op(e4,e2) = e3
| op(e0,e2) = e3
| op(e3,e2) = e1 ),
inference(rw,[status(thm)],[52705,2054,theory(equality)]) ).
cnf(52765,plain,
( op(e4,e2) = e3
| op(e0,e2) = e3
| op(e3,e2) = e1 ),
inference(sr,[status(thm)],[52764,566,theory(equality)]) ).
cnf(52789,plain,
( op(e3,e2) = e4
| op(e3,e2) = e1
| op(e0,e2) = e3 ),
inference(spm,[status(thm)],[439,52765,theory(equality)]) ).
cnf(52819,plain,
( op(e4,e0) = e1
| e3 = e1
| op(e4,e3) = e1
| op(e3,e2) = e1
| op(e0,e2) = e3 ),
inference(spm,[status(thm)],[14411,52765,theory(equality)]) ).
cnf(52834,plain,
( op(e4,e0) = e1
| op(e4,e3) = e1
| op(e3,e2) = e1
| op(e0,e2) = e3 ),
inference(sr,[status(thm)],[52819,568,theory(equality)]) ).
cnf(52932,plain,
( op(e3,e2) = e0
| op(e3,e2) = e1
| op(e3,e2) = e4 ),
inference(spm,[status(thm)],[459,52789,theory(equality)]) ).
cnf(52950,plain,
( op(e3,e1) = e4
| op(e3,e1) = e2
| op(e3,e2) = e1
| op(e3,e2) = e4 ),
inference(spm,[status(thm)],[4781,52789,theory(equality)]) ).
cnf(53051,plain,
( op(e3,e2) = e4
| op(e3,e2) = e0
| e1 != op(e3,e4) ),
inference(spm,[status(thm)],[475,52932,theory(equality)]) ).
cnf(53455,plain,
( op(e3,e2) = e0
| e4 != op(e3,e0)
| op(e3,e4) != e1 ),
inference(spm,[status(thm)],[482,53051,theory(equality)]) ).
cnf(54229,plain,
( op(e3,e0) != e4
| op(e3,e0) != e2
| op(e3,e4) != e1 ),
inference(spm,[status(thm)],[6349,53455,theory(equality)]) ).
cnf(57812,plain,
( op(e3,e0) = e2
| op(e4,e2) = e1
| op(e1,e3) = e4 ),
inference(csr,[status(thm)],[12630,12568]) ).
cnf(57816,plain,
( op(e4,e2) = e1
| op(e3,e0) = e2
| e4 != op(e0,e3) ),
inference(spm,[status(thm)],[533,57812,theory(equality)]) ).
cnf(58042,plain,
( op(e1,e2) = e4
| op(e3,e0) = e2
| op(e0,e3) != e4 ),
inference(spm,[status(thm)],[439,57816,theory(equality)]) ).
cnf(58355,plain,
( op(e3,e0) = e2
| e4 != op(e3,e2)
| op(e0,e3) != e4 ),
inference(spm,[status(thm)],[538,58042,theory(equality)]) ).
cnf(58360,plain,
( op(e3,e0) = e2
| e4 != op(e1,e0)
| op(e0,e3) != e4 ),
inference(spm,[status(thm)],[502,58042,theory(equality)]) ).
cnf(61907,plain,
( op(e3,e3) = e2
| op(e4,e0) = e3
| op(e2,e0) = e3
| op(e0,e1) != e3 ),
inference(spm,[status(thm)],[11142,40436,theory(equality)]) ).
cnf(61917,plain,
( e3 = e2
| op(e4,e0) = e3
| op(e2,e0) = e3
| op(e0,e1) != e3 ),
inference(rw,[status(thm)],[61907,2054,theory(equality)]) ).
cnf(61918,plain,
( op(e4,e0) = e3
| op(e2,e0) = e3
| op(e0,e1) != e3 ),
inference(sr,[status(thm)],[61917,566,theory(equality)]) ).
cnf(61954,plain,
( op(e3,e0) = e2
| op(e4,e0) = e3
| op(e0,e1) != e3 ),
inference(spm,[status(thm)],[451,61918,theory(equality)]) ).
cnf(62022,plain,
( op(e3,e0) = e4
| op(e3,e0) = e2
| op(e0,e1) != e3 ),
inference(spm,[status(thm)],[441,61954,theory(equality)]) ).
cnf(71519,plain,
( op(e4,e0) = e1
| op(e4,e3) = e1
| op(e0,e2) = e3 ),
inference(csr,[status(thm)],[52834,18197]) ).
cnf(71520,plain,
( op(e1,e0) = e4
| op(e0,e2) = e3
| op(e4,e3) = e1 ),
inference(spm,[status(thm)],[441,71519,theory(equality)]) ).
cnf(71552,plain,
( op(e4,e3) = e1
| op(e0,e2) = e3
| op(e3,e0) != e4 ),
inference(spm,[status(thm)],[18314,71519,theory(equality)]) ).
cnf(72129,plain,
( op(e1,e3) = e4
| op(e0,e2) = e3
| op(e3,e0) != e4 ),
inference(spm,[status(thm)],[438,71552,theory(equality)]) ).
cnf(89501,plain,
( op(e1,op(e3,e1)) != e4
| op(e3,e1) != e0
| op(e0,e3) != e4 ),
inference(csr,[status(thm)],[3755,17783]) ).
cnf(122152,plain,
( op(e2,e3) = e1
| op(e4,e3) = e1
| op(e0,e3) != e4 ),
inference(csr,[status(thm)],[5023,17659]) ).
cnf(122153,plain,
( op(e2,e3) = e1
| op(e0,e3) != e4 ),
inference(csr,[status(thm)],[122152,25480]) ).
cnf(122154,plain,
( op(e1,e3) = e2
| op(e0,e3) != e4 ),
inference(spm,[status(thm)],[448,122153,theory(equality)]) ).
cnf(126751,plain,
( e0 = e3
| op(e2,e4) = e3
| op(e0,e4) = e3
| op(e0,e4) = e2
| op(e0,e4) = e0 ),
inference(spm,[status(thm)],[10202,8774,theory(equality)]) ).
cnf(126833,plain,
( op(e2,e4) = e3
| op(e0,e4) = e3
| op(e0,e4) = e2
| op(e0,e4) = e0 ),
inference(sr,[status(thm)],[126751,571,theory(equality)]) ).
cnf(126900,plain,
( e3 = e1
| e3 = e2
| op(e0,e4) = e2
| op(e3,e4) = e2
| op(e0,e4) = e0
| op(e0,e4) = e3 ),
inference(spm,[status(thm)],[10186,126833,theory(equality)]) ).
cnf(127015,plain,
( e2 = e3
| op(e0,e4) = e2
| op(e3,e4) = e2
| op(e0,e4) = e0
| op(e0,e4) = e3 ),
inference(sr,[status(thm)],[126900,568,theory(equality)]) ).
cnf(127016,plain,
( op(e0,e4) = e2
| op(e3,e4) = e2
| op(e0,e4) = e0
| op(e0,e4) = e3 ),
inference(sr,[status(thm)],[127015,566,theory(equality)]) ).
cnf(137393,plain,
( op(e4,e4) = e2
| op(e2,e0) = e4
| op(e2,e3) = e4
| op(e4,e1) = e2 ),
inference(spm,[status(thm)],[399,11430,theory(equality)]) ).
cnf(137495,plain,
( e4 = e2
| op(e2,e0) = e4
| op(e2,e3) = e4
| op(e4,e1) = e2 ),
inference(rw,[status(thm)],[137393,10120,theory(equality)]) ).
cnf(137496,plain,
( op(e2,e0) = e4
| op(e2,e3) = e4
| op(e4,e1) = e2 ),
inference(sr,[status(thm)],[137495,565,theory(equality)]) ).
cnf(137557,plain,
( op(e4,e0) = e2
| op(e4,e1) = e2
| op(e2,e3) = e4 ),
inference(spm,[status(thm)],[451,137496,theory(equality)]) ).
cnf(137560,plain,
( op(e4,e1) = e2
| op(e2,e3) = e4
| e4 != op(e3,e0) ),
inference(spm,[status(thm)],[556,137496,theory(equality)]) ).
cnf(137790,plain,
( op(e4,e1) = e2
| op(e4,e0) = e2
| e4 != op(e0,e3) ),
inference(spm,[status(thm)],[532,137557,theory(equality)]) ).
cnf(137807,plain,
( e4 = e1
| op(e0,e3) = e1
| op(e4,e1) = e2
| op(e4,e0) = e2 ),
inference(spm,[status(thm)],[2951,137557,theory(equality)]) ).
cnf(137921,plain,
( op(e0,e3) = e1
| op(e4,e1) = e2
| op(e4,e0) = e2 ),
inference(sr,[status(thm)],[137807,567,theory(equality)]) ).
cnf(137963,plain,
( e4 = e1
| op(e0,e3) = e1
| op(e4,e1) = e2
| op(e3,e0) != e4 ),
inference(spm,[status(thm)],[2951,137560,theory(equality)]) ).
cnf(138077,plain,
( op(e0,e3) = e1
| op(e4,e1) = e2
| op(e3,e0) != e4 ),
inference(sr,[status(thm)],[137963,567,theory(equality)]) ).
cnf(138099,plain,
( op(e2,e1) = e4
| op(e4,e0) = e2
| op(e0,e3) = e1 ),
inference(spm,[status(thm)],[440,137921,theory(equality)]) ).
cnf(138771,plain,
( op(e2,e1) = e4
| op(e4,e0) = e2
| op(e0,e3) != e4 ),
inference(spm,[status(thm)],[440,137790,theory(equality)]) ).
cnf(139939,plain,
( op(e0,e3) = e1
| e2 != op(e3,e1)
| op(e3,e0) != e4 ),
inference(spm,[status(thm)],[544,138077,theory(equality)]) ).
cnf(142072,plain,
( op(e0,e3) = e1
| op(e4,e0) = e2
| e4 != op(e3,e1) ),
inference(spm,[status(thm)],[546,138099,theory(equality)]) ).
cnf(145865,plain,
( op(e4,e4) = e1
| op(e4,e0) = e1
| op(e4,e0) = e2
| op(e0,e3) != e4 ),
inference(spm,[status(thm)],[25268,138771,theory(equality)]) ).
cnf(145920,plain,
( e4 = e1
| op(e4,e0) = e1
| op(e4,e0) = e2
| op(e0,e3) != e4 ),
inference(rw,[status(thm)],[145865,10120,theory(equality)]) ).
cnf(145921,plain,
( op(e4,e0) = e1
| op(e4,e0) = e2
| op(e0,e3) != e4 ),
inference(sr,[status(thm)],[145920,567,theory(equality)]) ).
cnf(149532,plain,
( op(e1,e3) = e0
| op(e3,e1) != e2
| op(e3,e0) != e4 ),
inference(spm,[status(thm)],[458,139939,theory(equality)]) ).
cnf(153937,plain,
( op(e0,e3) = e1
| e2 != op(e3,e0)
| op(e3,e1) != e4 ),
inference(spm,[status(thm)],[554,142072,theory(equality)]) ).
cnf(163210,plain,
( op(e1,e0) = e4
| op(e4,e0) = e2
| op(e0,e3) != e4 ),
inference(spm,[status(thm)],[441,145921,theory(equality)]) ).
cnf(176382,plain,
( op(e1,e3) = e0
| op(e3,e0) != e2
| op(e3,e1) != e4 ),
inference(spm,[status(thm)],[458,153937,theory(equality)]) ).
cnf(184776,plain,
( op(e3,e1) = e0
| op(e4,op(e1,e4)) != e2
| op(e3,e4) != e2 ),
inference(csr,[status(thm)],[6182,46755]) ).
cnf(184840,plain,
( op(e3,e1) = e0
| op(e4,e0) != e2
| op(e3,e4) != e2 ),
inference(spm,[status(thm)],[184776,46755,theory(equality)]) ).
cnf(193007,plain,
( op(e3,e1) = e0
| op(e3,e0) != e2
| op(e3,e1) != e4 ),
inference(spm,[status(thm)],[6327,176382,theory(equality)]) ).
cnf(198499,plain,
( op(e3,e2) != e4
| op(e3,e0) != e2
| op(e0,e3) != e4 ),
inference(spm,[status(thm)],[6693,122154,theory(equality)]) ).
cnf(201196,plain,
( op(e0,e2) = e3
| op(e3,e4) != e2
| op(e3,e0) != e4 ),
inference(spm,[status(thm)],[6831,72129,theory(equality)]) ).
cnf(202471,plain,
( op(e3,e1) = e0
| op(e3,e0) != e2 ),
inference(csr,[status(thm)],[193007,5675]) ).
cnf(202490,plain,
( e0 = e4
| op(e3,e2) = e4
| op(e3,e0) = e4
| op(e3,e0) != e2 ),
inference(spm,[status(thm)],[8290,202471,theory(equality)]) ).
cnf(202534,plain,
( op(e3,e4) = e2
| op(e3,e4) = e1
| e0 = e2
| e0 = e4
| op(e3,e0) != e2 ),
inference(spm,[status(thm)],[12020,202471,theory(equality)]) ).
cnf(202536,plain,
( e0 = e4
| e0 = e2
| op(e3,e2) = e1
| op(e3,e4) = e1
| op(e3,e0) != e2 ),
inference(spm,[status(thm)],[36839,202471,theory(equality)]) ).
cnf(202557,plain,
( op(e3,e2) = e4
| op(e3,e2) = e1
| e0 = e2
| e0 = e4
| op(e3,e0) != e2 ),
inference(spm,[status(thm)],[52950,202471,theory(equality)]) ).
cnf(202581,plain,
( op(e1,e0) != e4
| op(e0,e3) != e4
| op(e3,e0) != e2 ),
inference(spm,[status(thm)],[89501,202471,theory(equality)]) ).
cnf(202666,plain,
( op(e3,e2) = e4
| op(e3,e0) = e4
| op(e3,e0) != e2 ),
inference(sr,[status(thm)],[202490,570,theory(equality)]) ).
cnf(202668,plain,
( op(e3,e4) = e2
| op(e3,e4) = e1
| e4 = e0
| op(e3,e0) != e2 ),
inference(sr,[status(thm)],[202534,572,theory(equality)]) ).
cnf(202669,plain,
( op(e3,e4) = e2
| op(e3,e4) = e1
| op(e3,e0) != e2 ),
inference(sr,[status(thm)],[202668,570,theory(equality)]) ).
cnf(202671,plain,
( e2 = e0
| op(e3,e2) = e1
| op(e3,e4) = e1
| op(e3,e0) != e2 ),
inference(sr,[status(thm)],[202536,570,theory(equality)]) ).
cnf(202672,plain,
( op(e3,e2) = e1
| op(e3,e4) = e1
| op(e3,e0) != e2 ),
inference(sr,[status(thm)],[202671,572,theory(equality)]) ).
cnf(202676,plain,
( op(e3,e2) = e4
| op(e3,e2) = e1
| e4 = e0
| op(e3,e0) != e2 ),
inference(sr,[status(thm)],[202557,572,theory(equality)]) ).
cnf(202677,plain,
( op(e3,e2) = e4
| op(e3,e2) = e1
| op(e3,e0) != e2 ),
inference(sr,[status(thm)],[202676,570,theory(equality)]) ).
cnf(206836,plain,
( op(e0,e3) != e4
| op(e3,e2) != e4 ),
inference(csr,[status(thm)],[198499,58355]) ).
cnf(208487,plain,
( op(e3,e4) != e2
| op(e3,e0) != e4 ),
inference(csr,[status(thm)],[201196,6827]) ).
cnf(210109,plain,
( op(e3,e4) = e2
| op(e3,e0) != e4
| op(e3,e0) != e2 ),
inference(spm,[status(thm)],[54229,202669,theory(equality)]) ).
cnf(210261,plain,
( op(e3,e0) = e4
| e1 = e4
| op(e3,e4) = e1
| op(e3,e0) != e2 ),
inference(spm,[status(thm)],[202666,202672,theory(equality)]) ).
cnf(210273,plain,
( op(e3,e0) = e4
| op(e3,e4) = e1
| op(e3,e0) != e2 ),
inference(sr,[status(thm)],[210261,567,theory(equality)]) ).
cnf(210409,plain,
( op(e3,e2) = e4
| e1 != op(e3,e4)
| op(e3,e0) != e2 ),
inference(spm,[status(thm)],[475,202677,theory(equality)]) ).
cnf(210491,plain,
( op(e1,e0) != e4
| op(e0,e3) != e4 ),
inference(csr,[status(thm)],[202581,58360]) ).
cnf(210533,plain,
( op(e4,e3) = e1
| op(e0,e2) = e3
| op(e0,e3) != e4 ),
inference(spm,[status(thm)],[210491,71520,theory(equality)]) ).
cnf(210543,plain,
( op(e4,e0) = e2
| op(e0,e3) != e4 ),
inference(spm,[status(thm)],[210491,163210,theory(equality)]) ).
cnf(210621,plain,
( op(e2,e0) = e4
| op(e0,e3) != e4 ),
inference(spm,[status(thm)],[441,210543,theory(equality)]) ).
cnf(210647,plain,
( e2 = e3
| op(e3,e2) = e4
| op(e0,e1) != e3
| op(e0,e3) != e4 ),
inference(spm,[status(thm)],[11141,210543,theory(equality)]) ).
cnf(210773,plain,
( op(e3,e1) = e0
| op(e3,e4) != e2
| op(e0,e3) != e4 ),
inference(spm,[status(thm)],[184840,210543,theory(equality)]) ).
cnf(210783,plain,
( op(e3,e2) = e4
| op(e0,e1) != e3
| op(e0,e3) != e4 ),
inference(sr,[status(thm)],[210647,566,theory(equality)]) ).
cnf(210817,plain,
( op(op(e0,e2),e4) = e2
| op(e0,e3) != e4 ),
inference(spm,[status(thm)],[401,210621,theory(equality)]) ).
cnf(216155,plain,
( op(e3,e0) != e4
| op(e3,e0) != e2 ),
inference(csr,[status(thm)],[210109,208487]) ).
cnf(216332,plain,
( op(e3,e4) = e1
| op(e3,e0) != e2 ),
inference(csr,[status(thm)],[210273,216155]) ).
cnf(216334,plain,
( op(e1,op(e4,e3)) = e4
| op(e3,e0) != e2 ),
inference(spm,[status(thm)],[388,216332,theory(equality)]) ).
cnf(217895,plain,
( op(e3,e2) = e4
| op(e3,e0) != e2 ),
inference(csr,[status(thm)],[210409,216332]) ).
cnf(217897,plain,
( op(e4,op(e2,e3)) = e2
| op(e3,e0) != e2 ),
inference(spm,[status(thm)],[398,217895,theory(equality)]) ).
cnf(218982,plain,
( op(e0,e2) = e3
| op(e0,e3) != e4 ),
inference(csr,[status(thm)],[210533,25480]) ).
cnf(219110,plain,
( op(e3,e4) = e2
| op(e0,e3) != e4 ),
inference(spm,[status(thm)],[210817,218982,theory(equality)]) ).
cnf(220859,plain,
( op(e0,e1) != e3
| op(e0,e3) != e4 ),
inference(csr,[status(thm)],[210783,206836]) ).
cnf(221337,plain,
( op(e3,e1) = e0
| op(e3,e4) != e2 ),
inference(csr,[status(thm)],[210773,47762]) ).
cnf(221338,plain,
( op(e0,e1) = e3
| op(e3,e4) != e2 ),
inference(spm,[status(thm)],[445,221337,theory(equality)]) ).
cnf(221984,plain,
( op(e0,e3) != e4
| op(e3,e4) != e2 ),
inference(spm,[status(thm)],[220859,221338,theory(equality)]) ).
cnf(222224,plain,
op(e0,e3) != e4,
inference(csr,[status(thm)],[221984,219110]) ).
cnf(222237,plain,
( op(e2,e3) = e4
| op(e4,e3) = e1 ),
inference(sr,[status(thm)],[10523,222224,theory(equality)]) ).
cnf(222626,plain,
( op(e4,e4) = e2
| op(e4,e3) = e1
| op(e3,e0) != e2 ),
inference(spm,[status(thm)],[217897,222237,theory(equality)]) ).
cnf(222658,plain,
( e4 = e2
| op(e4,e3) = e1
| op(e3,e0) != e2 ),
inference(rw,[status(thm)],[222626,10120,theory(equality)]) ).
cnf(222659,plain,
( op(e4,e3) = e1
| op(e3,e0) != e2 ),
inference(sr,[status(thm)],[222658,565,theory(equality)]) ).
cnf(224599,plain,
( op(e1,e1) = e4
| op(e3,e0) != e2 ),
inference(spm,[status(thm)],[216334,222659,theory(equality)]) ).
cnf(225779,plain,
( op(e4,e4) = e1
| op(e3,e0) != e2 ),
inference(spm,[status(thm)],[405,224599,theory(equality)]) ).
cnf(225800,plain,
( e4 = e1
| op(e3,e0) != e2 ),
inference(rw,[status(thm)],[225779,10120,theory(equality)]) ).
cnf(225801,plain,
op(e3,e0) != e2,
inference(sr,[status(thm)],[225800,567,theory(equality)]) ).
cnf(226089,plain,
( op(e3,e0) = e4
| op(e3,e0) = e1 ),
inference(sr,[status(thm)],[3122,225801,theory(equality)]) ).
cnf(226093,plain,
( op(e3,e0) = e4
| op(e1,e0) = e3 ),
inference(sr,[status(thm)],[3125,225801,theory(equality)]) ).
cnf(226096,plain,
( op(e0,e4) = e1
| op(e3,e1) = e2 ),
inference(sr,[status(thm)],[39721,225801,theory(equality)]) ).
cnf(226098,plain,
( op(e3,e1) = e2
| op(e1,e4) = e0 ),
inference(sr,[status(thm)],[40085,225801,theory(equality)]) ).
cnf(226932,plain,
( e1 = e3
| e1 = e0
| op(e3,e4) = e2
| e1 = e2
| op(e3,e1) = e2 ),
inference(spm,[status(thm)],[127016,226096,theory(equality)]) ).
cnf(226970,plain,
( e1 = e0
| op(e3,e4) = e2
| e1 = e2
| op(e3,e1) = e2 ),
inference(sr,[status(thm)],[226932,568,theory(equality)]) ).
cnf(226971,plain,
( op(e3,e4) = e2
| e1 = e2
| op(e3,e1) = e2 ),
inference(sr,[status(thm)],[226970,573,theory(equality)]) ).
cnf(226972,plain,
( op(e3,e4) = e2
| op(e3,e1) = e2 ),
inference(sr,[status(thm)],[226971,569,theory(equality)]) ).
cnf(227604,plain,
( op(e0,e3) = e4
| op(e3,e1) = e2
| op(e0,e1) = e3 ),
inference(spm,[status(thm)],[3682,226098,theory(equality)]) ).
cnf(227682,plain,
( op(e3,e1) = e2
| op(e0,e1) = e3 ),
inference(sr,[status(thm)],[227604,222224,theory(equality)]) ).
cnf(227767,plain,
( op(e3,e0) = e2
| op(e3,e0) = e4
| op(e3,e1) = e2 ),
inference(spm,[status(thm)],[62022,227682,theory(equality)]) ).
cnf(227922,plain,
( op(e3,e0) = e4
| op(e3,e1) = e2 ),
inference(sr,[status(thm)],[227767,225801,theory(equality)]) ).
cnf(228260,plain,
( op(e3,e0) = e4
| e2 != op(e3,e4) ),
inference(spm,[status(thm)],[477,227922,theory(equality)]) ).
cnf(234352,plain,
op(e3,e4) != e2,
inference(csr,[status(thm)],[228260,208487]) ).
cnf(234387,plain,
op(e3,e1) = e2,
inference(sr,[status(thm)],[226972,234352,theory(equality)]) ).
cnf(234611,plain,
( op(e1,e3) = e0
| $false
| op(e3,e0) != e4 ),
inference(rw,[status(thm)],[149532,234387,theory(equality)]) ).
cnf(234612,plain,
( op(e1,e3) = e0
| op(e3,e0) != e4 ),
inference(cn,[status(thm)],[234611,theory(equality)]) ).
cnf(234960,plain,
( op(op(e1,e4),e0) = e4
| e2 = e4
| op(e3,e1) != e2 ),
inference(rw,[status(thm)],[13727,234387,theory(equality)]) ).
cnf(234961,plain,
( op(op(e1,e4),e0) = e4
| e2 = e4
| $false ),
inference(rw,[status(thm)],[234960,234387,theory(equality)]) ).
cnf(234962,plain,
( op(op(e1,e4),e0) = e4
| e2 = e4 ),
inference(cn,[status(thm)],[234961,theory(equality)]) ).
cnf(234963,plain,
op(op(e1,e4),e0) = e4,
inference(sr,[status(thm)],[234962,565,theory(equality)]) ).
cnf(235215,plain,
( e2 = e4
| op(e0,e0) != e4
| op(e3,e1) != e2 ),
inference(rw,[status(thm)],[11837,234387,theory(equality)]) ).
cnf(235216,plain,
( e2 = e4
| op(e0,e0) != e4
| $false ),
inference(rw,[status(thm)],[235215,234387,theory(equality)]) ).
cnf(235217,plain,
( e2 = e4
| op(e0,e0) != e4 ),
inference(cn,[status(thm)],[235216,theory(equality)]) ).
cnf(235218,plain,
op(e0,e0) != e4,
inference(sr,[status(thm)],[235217,565,theory(equality)]) ).
cnf(235219,plain,
( e2 = e4
| op(e4,e1) = e0
| op(e3,e1) != e2 ),
inference(rw,[status(thm)],[11832,234387,theory(equality)]) ).
cnf(235220,plain,
( e2 = e4
| op(e4,e1) = e0
| $false ),
inference(rw,[status(thm)],[235219,234387,theory(equality)]) ).
cnf(235221,plain,
( e2 = e4
| op(e4,e1) = e0 ),
inference(cn,[status(thm)],[235220,theory(equality)]) ).
cnf(235222,plain,
op(e4,e1) = e0,
inference(sr,[status(thm)],[235221,565,theory(equality)]) ).
cnf(235308,plain,
( e2 = e4
| op(e3,e1) = e0
| op(e2,e2) != e3 ),
inference(rw,[status(thm)],[6092,234387,theory(equality)]) ).
cnf(235309,plain,
( e2 = e4
| e2 = e0
| op(e2,e2) != e3 ),
inference(rw,[status(thm)],[235308,234387,theory(equality)]) ).
cnf(235310,plain,
( e2 = e0
| op(e2,e2) != e3 ),
inference(sr,[status(thm)],[235309,565,theory(equality)]) ).
cnf(235311,plain,
op(e2,e2) != e3,
inference(sr,[status(thm)],[235310,572,theory(equality)]) ).
cnf(235312,plain,
( e2 = e4
| op(e3,e1) = e0
| op(e2,e4) != e3 ),
inference(rw,[status(thm)],[6091,234387,theory(equality)]) ).
cnf(235313,plain,
( e2 = e4
| e2 = e0
| op(e2,e4) != e3 ),
inference(rw,[status(thm)],[235312,234387,theory(equality)]) ).
cnf(235314,plain,
( e2 = e0
| op(e2,e4) != e3 ),
inference(sr,[status(thm)],[235313,565,theory(equality)]) ).
cnf(235315,plain,
op(e2,e4) != e3,
inference(sr,[status(thm)],[235314,572,theory(equality)]) ).
cnf(235316,plain,
( e2 = e4
| op(e3,e1) = e0
| op(e2,e0) != e3 ),
inference(rw,[status(thm)],[6090,234387,theory(equality)]) ).
cnf(235317,plain,
( e2 = e4
| e2 = e0
| op(e2,e0) != e3 ),
inference(rw,[status(thm)],[235316,234387,theory(equality)]) ).
cnf(235318,plain,
( e2 = e0
| op(e2,e0) != e3 ),
inference(sr,[status(thm)],[235317,565,theory(equality)]) ).
cnf(235319,plain,
op(e2,e0) != e3,
inference(sr,[status(thm)],[235318,572,theory(equality)]) ).
cnf(238186,plain,
( op(e0,e0) = e4
| op(e1,e4) = e3
| op(e2,e4) = e1 ),
inference(spm,[status(thm)],[234963,11556,theory(equality)]) ).
cnf(238240,plain,
( op(e1,e4) = e3
| op(e2,e4) = e1 ),
inference(sr,[status(thm)],[238186,235218,theory(equality)]) ).
cnf(245738,plain,
( op(e2,e2) = e3
| op(e2,e4) = e3
| op(e2,e0) = e3
| op(e3,e0) != e4 ),
inference(spm,[status(thm)],[2531,234612,theory(equality)]) ).
cnf(245814,plain,
( op(e2,e4) = e3
| op(e2,e0) = e3
| op(e3,e0) != e4 ),
inference(sr,[status(thm)],[245738,235311,theory(equality)]) ).
cnf(245815,plain,
( op(e2,e0) = e3
| op(e3,e0) != e4 ),
inference(sr,[status(thm)],[245814,235315,theory(equality)]) ).
cnf(245816,plain,
op(e3,e0) != e4,
inference(sr,[status(thm)],[245815,235319,theory(equality)]) ).
cnf(245988,plain,
op(e3,e0) = e1,
inference(sr,[status(thm)],[226089,245816,theory(equality)]) ).
cnf(245989,plain,
op(e1,e0) = e3,
inference(sr,[status(thm)],[226093,245816,theory(equality)]) ).
cnf(246505,plain,
( op(e3,e4) = e0
| op(e2,e4) = e3
| $false ),
inference(rw,[status(thm)],[8831,245988,theory(equality)]) ).
cnf(246506,plain,
( op(e3,e4) = e0
| op(e2,e4) = e3 ),
inference(cn,[status(thm)],[246505,theory(equality)]) ).
cnf(246507,plain,
op(e3,e4) = e0,
inference(sr,[status(thm)],[246506,235315,theory(equality)]) ).
cnf(246877,plain,
( e0 = e1
| op(e1,e4) = e2
| op(e3,e4) != e0 ),
inference(rw,[status(thm)],[20166,246507,theory(equality)]) ).
cnf(246878,plain,
( e0 = e1
| op(e1,e4) = e2
| $false ),
inference(rw,[status(thm)],[246877,246507,theory(equality)]) ).
cnf(246879,plain,
( e0 = e1
| op(e1,e4) = e2 ),
inference(cn,[status(thm)],[246878,theory(equality)]) ).
cnf(246880,plain,
op(e1,e4) = e2,
inference(sr,[status(thm)],[246879,573,theory(equality)]) ).
cnf(248174,plain,
( op(e2,e4) = e1
| e2 = e3 ),
inference(rw,[status(thm)],[238240,246880,theory(equality)]) ).
cnf(248175,plain,
op(e2,e4) = e1,
inference(sr,[status(thm)],[248174,566,theory(equality)]) ).
cnf(248286,plain,
( $false
| op(e4,op(e2,e4)) != e0
| op(e2,e4) != e1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[130,248175,theory(equality)]),248175,theory(equality)]),235222,theory(equality)]),245989,theory(equality)]) ).
cnf(248287,plain,
( $false
| $false
| op(e2,e4) != e1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[248286,248175,theory(equality)]),235222,theory(equality)]) ).
cnf(248288,plain,
( $false
| $false
| $false ),
inference(rw,[status(thm)],[248287,248175,theory(equality)]) ).
cnf(248289,plain,
$false,
inference(cn,[status(thm)],[248288,theory(equality)]) ).
cnf(248290,plain,
$false,
248289,
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% /home/graph/tptp/Systems/SInE---0.4/Source/sine.py:10: DeprecationWarning: the sets module is deprecated
% from sets import Set
% % SZS status Started for /home/graph/tptp/TPTP/Problems/ALG/ALG193+1.p
% --creating new selector for []
% -running prover on /tmp/tmpek3paX/sel_ALG193+1.p_1 with time limit 29
% -prover status Unsatisfiable
% Problem ALG193+1.p solved in phase 0.
% % SZS status Theorem for /home/graph/tptp/TPTP/Problems/ALG/ALG193+1.p
% % SZS status Ended for /home/graph/tptp/TPTP/Problems/ALG/ALG193+1.p
% Solved 1 out of 1.
% # Problem is unsatisfiable (or provable), constructing proof object
% # SZS status Unsatisfiable
% # SZS output start CNFRefutation.
% See solution above
% # SZS output end CNFRefutation
%
%------------------------------------------------------------------------------