TSTP Solution File: ALG193+1 by Metis---2.4
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- Process Solution
%------------------------------------------------------------------------------
% File : Metis---2.4
% Problem : ALG193+1 : TPTP v8.1.0. Released v2.7.0.
% Transfm : none
% Format : tptp:raw
% Command : metis --show proof --show saturation %s
% Computer : n017.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 600s
% DateTime : Thu Jul 14 17:38:40 EDT 2022
% Result : Unsatisfiable 48.12s 48.30s
% Output : CNFRefutation 48.20s
% Verified :
% SZS Type : Refutation
% Derivation depth : 150
% Number of leaves : 312
% Syntax : Number of formulae : 1273 ( 255 unt; 0 def)
% Number of atoms : 4740 (4739 equ)
% Maximal formula atoms : 250 ( 3 avg)
% Number of connectives : 4954 (1487 ~;2997 |; 470 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 101 ( 4 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 3 ( 0 usr; 1 prp; 0-2 aty)
% Number of functors : 6 ( 6 usr; 5 con; 0-2 aty)
% Number of variables : 11 ( 0 sgn 0 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(ax1,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 ) ) ).
fof(ax2,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 ) ) ).
fof(ax3,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 ) ).
fof(ax4,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) ) ).
fof(ax5,axiom,
( e0 != e1
& e0 != e2
& e0 != e3
& e0 != e4
& e1 != e2
& e1 != e3
& e1 != e4
& e2 != e3
& e2 != e4
& e3 != e4 ) ).
fof(ax6,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 ) ).
fof(ax10,axiom,
~ ( e0 = op(e4,e1)
& e3 = op(e1,op(e4,e1))
& e2 = op(op(e4,e1),op(e1,op(e4,e1))) ) ).
fof(ax14,axiom,
~ ( e0 = op(e4,e2)
& e1 = op(e2,op(e4,e2))
& e3 = op(op(e4,e2),op(e2,op(e4,e2))) ) ).
fof(ax20,axiom,
~ ( e0 = op(e4,e3)
& e1 = op(e3,op(e4,e3))
& e2 = op(op(e4,e3),op(e3,op(e4,e3))) ) ).
fof(ax25,axiom,
~ ( e0 = op(e2,e4)
& e1 = op(e4,op(e2,e4))
& e3 = op(op(e2,e4),op(e4,op(e2,e4))) ) ).
fof(ax32,axiom,
~ ( e1 = op(e4,e0)
& e2 = op(e0,op(e4,e0))
& e3 = op(op(e4,e0),op(e0,op(e4,e0))) ) ).
fof(ax113,axiom,
~ ( e4 = op(e0,e1)
& e3 = op(e1,op(e0,e1))
& e2 = op(op(e0,e1),op(e1,op(e0,e1))) ) ).
fof(normalize_0_0,plain,
( e2 != op(op(e0,e1),op(e1,op(e0,e1)))
| e3 != op(e1,op(e0,e1))
| e4 != op(e0,e1) ),
inference(canonicalize,[],[ax113]) ).
fof(normalize_0_1,plain,
( 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,e0) != op(e1,e0)
& op(e0,e0) != op(e2,e0)
& op(e0,e0) != op(e3,e0)
& op(e0,e0) != op(e4,e0)
& op(e0,e1) != op(e0,e2)
& op(e0,e1) != op(e0,e3)
& op(e0,e1) != op(e0,e4)
& 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(e0,e2) != op(e0,e3)
& op(e0,e2) != op(e0,e4)
& 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(e0,e3) != op(e0,e4)
& 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(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,e0) != op(e1,e1)
& op(e1,e0) != op(e1,e2)
& op(e1,e0) != op(e1,e3)
& op(e1,e0) != op(e1,e4)
& op(e1,e0) != op(e2,e0)
& op(e1,e0) != op(e3,e0)
& op(e1,e0) != op(e4,e0)
& op(e1,e1) != op(e1,e2)
& op(e1,e1) != op(e1,e3)
& op(e1,e1) != op(e1,e4)
& op(e1,e1) != op(e2,e1)
& op(e1,e1) != op(e3,e1)
& op(e1,e1) != op(e4,e1)
& op(e1,e2) != op(e1,e3)
& op(e1,e2) != op(e1,e4)
& op(e1,e2) != op(e2,e2)
& op(e1,e2) != op(e3,e2)
& op(e1,e2) != op(e4,e2)
& op(e1,e3) != op(e1,e4)
& op(e1,e3) != op(e2,e3)
& op(e1,e3) != op(e3,e3)
& op(e1,e3) != op(e4,e3)
& op(e1,e4) != op(e2,e4)
& op(e1,e4) != op(e3,e4)
& op(e1,e4) != op(e4,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,e0) != op(e3,e0)
& op(e2,e0) != op(e4,e0)
& op(e2,e1) != op(e2,e2)
& op(e2,e1) != op(e2,e3)
& op(e2,e1) != op(e2,e4)
& op(e2,e1) != op(e3,e1)
& op(e2,e1) != op(e4,e1)
& op(e2,e2) != op(e2,e3)
& op(e2,e2) != op(e2,e4)
& op(e2,e2) != op(e3,e2)
& op(e2,e2) != op(e4,e2)
& op(e2,e3) != op(e2,e4)
& op(e2,e3) != op(e3,e3)
& op(e2,e3) != op(e4,e3)
& op(e2,e4) != op(e3,e4)
& op(e2,e4) != op(e4,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,e0) != op(e4,e0)
& op(e3,e1) != op(e3,e2)
& op(e3,e1) != op(e3,e3)
& op(e3,e1) != op(e3,e4)
& op(e3,e1) != op(e4,e1)
& op(e3,e2) != op(e3,e3)
& op(e3,e2) != op(e3,e4)
& op(e3,e2) != op(e4,e2)
& op(e3,e3) != op(e3,e4)
& op(e3,e3) != op(e4,e3)
& op(e3,e4) != op(e4,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) ),
inference(canonicalize,[],[ax4]) ).
fof(normalize_0_2,plain,
op(e1,e0) != op(e1,e3),
inference(conjunct,[],[normalize_0_1]) ).
fof(normalize_0_3,plain,
op(e4,e0) != op(e4,e1),
inference(conjunct,[],[normalize_0_1]) ).
fof(normalize_0_4,plain,
( 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 ),
inference(canonicalize,[],[ax6]) ).
fof(normalize_0_5,plain,
op(op(e3,e0),e0) = e3,
inference(conjunct,[],[normalize_0_4]) ).
fof(normalize_0_6,plain,
op(e3,e0) != op(e4,e0),
inference(conjunct,[],[normalize_0_1]) ).
fof(normalize_0_7,plain,
op(op(e4,e0),e0) = e4,
inference(conjunct,[],[normalize_0_4]) ).
fof(normalize_0_8,plain,
( op(op(e0,e0),op(e0,e0)) = e0
& op(op(e0,e1),op(e1,e0)) = e1
& op(op(e0,e2),op(e2,e0)) = e2
& op(op(e0,e3),op(e3,e0)) = e3
& op(op(e0,e4),op(e4,e0)) = e4
& op(op(e1,e0),op(e0,e1)) = e0
& op(op(e1,e1),op(e1,e1)) = e1
& op(op(e1,e2),op(e2,e1)) = e2
& op(op(e1,e3),op(e3,e1)) = e3
& op(op(e1,e4),op(e4,e1)) = e4
& op(op(e2,e0),op(e0,e2)) = e0
& op(op(e2,e1),op(e1,e2)) = e1
& op(op(e2,e2),op(e2,e2)) = e2
& op(op(e2,e3),op(e3,e2)) = e3
& op(op(e2,e4),op(e4,e2)) = e4
& op(op(e3,e0),op(e0,e3)) = e0
& op(op(e3,e1),op(e1,e3)) = e1
& op(op(e3,e2),op(e2,e3)) = e2
& op(op(e3,e3),op(e3,e3)) = e3
& op(op(e3,e4),op(e4,e3)) = e4
& op(op(e4,e0),op(e0,e4)) = e0
& op(op(e4,e1),op(e1,e4)) = e1
& op(op(e4,e2),op(e2,e4)) = e2
& op(op(e4,e3),op(e3,e4)) = e3
& op(op(e4,e4),op(e4,e4)) = e4 ),
inference(canonicalize,[],[ax3]) ).
fof(normalize_0_9,plain,
op(op(e0,e4),op(e4,e0)) = e4,
inference(conjunct,[],[normalize_0_8]) ).
fof(normalize_0_10,plain,
( ( 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 ) ),
inference(canonicalize,[],[ax1]) ).
fof(normalize_0_11,plain,
( op(e4,e0) = e0
| op(e4,e0) = e1
| op(e4,e0) = e2
| op(e4,e0) = e3
| op(e4,e0) = e4 ),
inference(conjunct,[],[normalize_0_10]) ).
fof(normalize_0_12,plain,
op(op(e0,e4),e4) = e0,
inference(conjunct,[],[normalize_0_4]) ).
fof(normalize_0_13,plain,
( e0 != e1
& e0 != e2
& e0 != e3
& e0 != e4
& e1 != e2
& e1 != e3
& e1 != e4
& e2 != e3
& e2 != e4
& e3 != e4 ),
inference(canonicalize,[],[ax5]) ).
fof(normalize_0_14,plain,
e0 != e4,
inference(conjunct,[],[normalize_0_13]) ).
fof(normalize_0_15,plain,
( ( 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(e0,e1) = e0
| op(e1,e1) = e0
| op(e2,e1) = e0
| op(e3,e1) = e0
| op(e4,e1) = e0 )
& ( op(e0,e1) = e1
| op(e1,e1) = e1
| op(e2,e1) = e1
| op(e3,e1) = e1
| op(e4,e1) = e1 )
& ( op(e0,e1) = e2
| op(e1,e1) = e2
| op(e2,e1) = e2
| op(e3,e1) = e2
| op(e4,e1) = e2 )
& ( op(e0,e1) = e3
| op(e1,e1) = e3
| op(e2,e1) = e3
| op(e3,e1) = e3
| op(e4,e1) = e3 )
& ( op(e0,e1) = e4
| op(e1,e1) = e4
| op(e2,e1) = e4
| op(e3,e1) = e4
| op(e4,e1) = e4 )
& ( op(e0,e2) = e0
| op(e1,e2) = e0
| op(e2,e2) = e0
| op(e3,e2) = e0
| op(e4,e2) = e0 )
& ( op(e0,e2) = e1
| op(e1,e2) = e1
| op(e2,e2) = e1
| op(e3,e2) = e1
| op(e4,e2) = e1 )
& ( op(e0,e2) = e2
| op(e1,e2) = e2
| op(e2,e2) = e2
| op(e3,e2) = e2
| op(e4,e2) = e2 )
& ( op(e0,e2) = e3
| op(e1,e2) = e3
| op(e2,e2) = e3
| op(e3,e2) = e3
| op(e4,e2) = e3 )
& ( op(e0,e2) = e4
| op(e1,e2) = e4
| op(e2,e2) = e4
| op(e3,e2) = e4
| op(e4,e2) = e4 )
& ( op(e0,e3) = e0
| op(e1,e3) = e0
| op(e2,e3) = e0
| op(e3,e3) = e0
| op(e4,e3) = e0 )
& ( op(e0,e3) = e1
| op(e1,e3) = e1
| op(e2,e3) = e1
| op(e3,e3) = e1
| op(e4,e3) = e1 )
& ( op(e0,e3) = e2
| op(e1,e3) = e2
| op(e2,e3) = e2
| op(e3,e3) = e2
| op(e4,e3) = e2 )
& ( op(e0,e3) = e3
| op(e1,e3) = e3
| op(e2,e3) = e3
| op(e3,e3) = e3
| op(e4,e3) = e3 )
& ( op(e0,e3) = e4
| op(e1,e3) = e4
| op(e2,e3) = e4
| op(e3,e3) = e4
| op(e4,e3) = e4 )
& ( op(e0,e4) = e0
| op(e1,e4) = e0
| op(e2,e4) = e0
| op(e3,e4) = e0
| op(e4,e4) = e0 )
& ( op(e0,e4) = e1
| op(e1,e4) = e1
| op(e2,e4) = e1
| op(e3,e4) = e1
| op(e4,e4) = e1 )
& ( op(e0,e4) = e2
| op(e1,e4) = e2
| op(e2,e4) = e2
| op(e3,e4) = e2
| op(e4,e4) = e2 )
& ( op(e0,e4) = e3
| op(e1,e4) = e3
| op(e2,e4) = e3
| op(e3,e4) = e3
| op(e4,e4) = e3 )
& ( op(e0,e4) = e4
| op(e1,e4) = e4
| op(e2,e4) = e4
| op(e3,e4) = e4
| op(e4,e4) = e4 )
& ( op(e1,e0) = e0
| op(e1,e1) = e0
| op(e1,e2) = e0
| op(e1,e3) = e0
| op(e1,e4) = e0 )
& ( op(e1,e0) = e1
| op(e1,e1) = e1
| op(e1,e2) = e1
| op(e1,e3) = e1
| op(e1,e4) = e1 )
& ( op(e1,e0) = e2
| op(e1,e1) = e2
| op(e1,e2) = e2
| op(e1,e3) = e2
| op(e1,e4) = e2 )
& ( op(e1,e0) = e3
| op(e1,e1) = e3
| op(e1,e2) = e3
| op(e1,e3) = e3
| op(e1,e4) = e3 )
& ( op(e1,e0) = e4
| op(e1,e1) = e4
| op(e1,e2) = e4
| op(e1,e3) = e4
| op(e1,e4) = e4 )
& ( op(e2,e0) = e0
| op(e2,e1) = e0
| op(e2,e2) = e0
| op(e2,e3) = e0
| op(e2,e4) = e0 )
& ( op(e2,e0) = e1
| op(e2,e1) = e1
| op(e2,e2) = e1
| op(e2,e3) = e1
| op(e2,e4) = e1 )
& ( op(e2,e0) = e2
| op(e2,e1) = e2
| op(e2,e2) = e2
| op(e2,e3) = e2
| op(e2,e4) = e2 )
& ( op(e2,e0) = e3
| op(e2,e1) = e3
| op(e2,e2) = e3
| op(e2,e3) = e3
| op(e2,e4) = e3 )
& ( op(e2,e0) = e4
| op(e2,e1) = e4
| op(e2,e2) = e4
| op(e2,e3) = e4
| op(e2,e4) = e4 )
& ( op(e3,e0) = e0
| op(e3,e1) = e0
| op(e3,e2) = e0
| op(e3,e3) = e0
| op(e3,e4) = e0 )
& ( op(e3,e0) = e1
| op(e3,e1) = e1
| op(e3,e2) = e1
| op(e3,e3) = e1
| op(e3,e4) = e1 )
& ( op(e3,e0) = e2
| op(e3,e1) = e2
| op(e3,e2) = e2
| op(e3,e3) = e2
| op(e3,e4) = e2 )
& ( op(e3,e0) = e3
| op(e3,e1) = e3
| op(e3,e2) = e3
| op(e3,e3) = e3
| op(e3,e4) = e3 )
& ( op(e3,e0) = e4
| op(e3,e1) = e4
| op(e3,e2) = e4
| op(e3,e3) = e4
| op(e3,e4) = e4 )
& ( op(e4,e0) = e0
| op(e4,e1) = e0
| op(e4,e2) = e0
| op(e4,e3) = 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(e4,e0) = e2
| op(e4,e1) = e2
| op(e4,e2) = e2
| op(e4,e3) = 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(e4,e0) = e4
| op(e4,e1) = e4
| op(e4,e2) = e4
| op(e4,e3) = e4
| op(e4,e4) = e4 ) ),
inference(canonicalize,[],[ax2]) ).
fof(normalize_0_16,plain,
( op(e0,e0) = e0
| op(e0,e1) = e0
| op(e0,e2) = e0
| op(e0,e3) = e0
| op(e0,e4) = e0 ),
inference(conjunct,[],[normalize_0_15]) ).
fof(normalize_0_17,plain,
op(e0,e1) != op(e1,e1),
inference(conjunct,[],[normalize_0_1]) ).
fof(normalize_0_18,plain,
op(op(e0,e1),e1) = e0,
inference(conjunct,[],[normalize_0_4]) ).
fof(normalize_0_19,plain,
op(op(e1,e0),op(e0,e1)) = e0,
inference(conjunct,[],[normalize_0_8]) ).
fof(normalize_0_20,plain,
( op(e0,e1) = e0
| op(e0,e1) = e1
| op(e0,e1) = e2
| op(e0,e1) = e3
| op(e0,e1) = e4 ),
inference(conjunct,[],[normalize_0_10]) ).
fof(normalize_0_21,plain,
op(op(e1,e0),e0) = e1,
inference(conjunct,[],[normalize_0_4]) ).
fof(normalize_0_22,plain,
e0 != e1,
inference(conjunct,[],[normalize_0_13]) ).
fof(normalize_0_23,plain,
e0 != e2,
inference(conjunct,[],[normalize_0_13]) ).
fof(normalize_0_24,plain,
e0 != e3,
inference(conjunct,[],[normalize_0_13]) ).
fof(normalize_0_25,plain,
op(e0,e2) != op(e1,e2),
inference(conjunct,[],[normalize_0_1]) ).
fof(normalize_0_26,plain,
op(op(e0,e2),e2) = e0,
inference(conjunct,[],[normalize_0_4]) ).
fof(normalize_0_27,plain,
op(op(e2,e0),op(e0,e2)) = e0,
inference(conjunct,[],[normalize_0_8]) ).
fof(normalize_0_28,plain,
( op(e0,e2) = e0
| op(e0,e2) = e1
| op(e0,e2) = e2
| op(e0,e2) = e3
| op(e0,e2) = e4 ),
inference(conjunct,[],[normalize_0_10]) ).
fof(normalize_0_29,plain,
op(op(e2,e0),e0) = e2,
inference(conjunct,[],[normalize_0_4]) ).
fof(normalize_0_30,plain,
op(e0,e3) != op(e1,e3),
inference(conjunct,[],[normalize_0_1]) ).
fof(normalize_0_31,plain,
op(op(e0,e3),e3) = e0,
inference(conjunct,[],[normalize_0_4]) ).
fof(normalize_0_32,plain,
op(op(e3,e0),op(e0,e3)) = e0,
inference(conjunct,[],[normalize_0_8]) ).
fof(normalize_0_33,plain,
( op(e0,e3) = e0
| op(e0,e3) = e1
| op(e0,e3) = e2
| op(e0,e3) = e3
| op(e0,e3) = e4 ),
inference(conjunct,[],[normalize_0_10]) ).
fof(normalize_0_34,plain,
op(e0,e4) != op(e1,e4),
inference(conjunct,[],[normalize_0_1]) ).
fof(normalize_0_35,plain,
op(op(e4,e0),op(e0,e4)) = e0,
inference(conjunct,[],[normalize_0_8]) ).
fof(normalize_0_36,plain,
( op(e0,e4) = e0
| op(e0,e4) = e1
| op(e0,e4) = e2
| op(e0,e4) = e3
| op(e0,e4) = e4 ),
inference(conjunct,[],[normalize_0_10]) ).
fof(normalize_0_37,plain,
e2 != e4,
inference(conjunct,[],[normalize_0_13]) ).
fof(normalize_0_38,plain,
op(op(e0,e3),op(e3,e0)) = e3,
inference(conjunct,[],[normalize_0_8]) ).
fof(normalize_0_39,plain,
( op(e3,e0) = e0
| op(e3,e0) = e1
| op(e3,e0) = e2
| op(e3,e0) = e3
| op(e3,e0) = e4 ),
inference(conjunct,[],[normalize_0_10]) ).
fof(normalize_0_40,plain,
op(e0,e1) != op(e4,e1),
inference(conjunct,[],[normalize_0_1]) ).
fof(normalize_0_41,plain,
op(op(e4,e1),e1) = e4,
inference(conjunct,[],[normalize_0_4]) ).
fof(normalize_0_42,plain,
op(op(e1,e4),op(e4,e1)) = e4,
inference(conjunct,[],[normalize_0_8]) ).
fof(normalize_0_43,plain,
op(e1,e1) != op(e4,e1),
inference(conjunct,[],[normalize_0_1]) ).
fof(normalize_0_44,plain,
op(op(e2,e1),op(e1,e2)) = e1,
inference(conjunct,[],[normalize_0_8]) ).
fof(normalize_0_45,plain,
op(op(e3,e1),op(e1,e3)) = e1,
inference(conjunct,[],[normalize_0_8]) ).
fof(normalize_0_46,plain,
op(op(e4,e1),op(e1,e4)) = e1,
inference(conjunct,[],[normalize_0_8]) ).
fof(normalize_0_47,plain,
( op(e1,e0) = e1
| op(e1,e1) = e1
| op(e1,e2) = e1
| op(e1,e3) = e1
| op(e1,e4) = e1 ),
inference(conjunct,[],[normalize_0_15]) ).
fof(normalize_0_48,plain,
op(e1,e0) != op(e2,e0),
inference(conjunct,[],[normalize_0_1]) ).
fof(normalize_0_49,plain,
op(op(e0,e1),op(e1,e0)) = e1,
inference(conjunct,[],[normalize_0_8]) ).
fof(normalize_0_50,plain,
( op(e1,e0) = e0
| op(e1,e0) = e1
| op(e1,e0) = e2
| op(e1,e0) = e3
| op(e1,e0) = e4 ),
inference(conjunct,[],[normalize_0_10]) ).
fof(normalize_0_51,plain,
e1 != e3,
inference(conjunct,[],[normalize_0_13]) ).
fof(normalize_0_52,plain,
e1 != e4,
inference(conjunct,[],[normalize_0_13]) ).
fof(normalize_0_53,plain,
op(op(e3,e1),e1) = e3,
inference(conjunct,[],[normalize_0_4]) ).
fof(normalize_0_54,plain,
op(op(e2,e1),e1) = e2,
inference(conjunct,[],[normalize_0_4]) ).
fof(normalize_0_55,plain,
e1 != e2,
inference(conjunct,[],[normalize_0_13]) ).
fof(normalize_0_56,plain,
( op(e4,e1) = e0
| op(e4,e1) = e1
| op(e4,e1) = e2
| op(e4,e1) = e3
| op(e4,e1) = e4 ),
inference(conjunct,[],[normalize_0_10]) ).
fof(normalize_0_57,plain,
op(op(e1,e4),e4) = e1,
inference(conjunct,[],[normalize_0_4]) ).
fof(normalize_0_58,plain,
( e0 != op(e4,e2)
| e1 != op(e2,op(e4,e2))
| e3 != op(op(e4,e2),op(e2,op(e4,e2))) ),
inference(canonicalize,[],[ax14]) ).
fof(normalize_0_59,plain,
op(op(e2,e4),e4) = e2,
inference(conjunct,[],[normalize_0_4]) ).
fof(normalize_0_60,plain,
op(e3,e1) != op(e3,e4),
inference(conjunct,[],[normalize_0_1]) ).
fof(normalize_0_61,plain,
op(op(e4,e4),op(e4,e4)) = e4,
inference(conjunct,[],[normalize_0_8]) ).
fof(normalize_0_62,plain,
( op(e0,e4) = e0
| op(e1,e4) = e0
| op(e2,e4) = e0
| op(e3,e4) = e0
| op(e4,e4) = e0 ),
inference(conjunct,[],[normalize_0_15]) ).
fof(normalize_0_63,plain,
op(op(e1,e1),op(e1,e1)) = e1,
inference(conjunct,[],[normalize_0_8]) ).
fof(normalize_0_64,plain,
( op(e0,e1) = e4
| op(e1,e1) = e4
| op(e2,e1) = e4
| op(e3,e1) = e4
| op(e4,e1) = e4 ),
inference(conjunct,[],[normalize_0_15]) ).
fof(normalize_0_65,plain,
( e0 != op(e2,e4)
| e1 != op(e4,op(e2,e4))
| e3 != op(op(e2,e4),op(e4,op(e2,e4))) ),
inference(canonicalize,[],[ax25]) ).
fof(normalize_0_66,plain,
op(op(e1,e3),op(e3,e1)) = e3,
inference(conjunct,[],[normalize_0_8]) ).
fof(normalize_0_67,plain,
( op(e1,e0) = e0
| op(e1,e1) = e0
| op(e1,e2) = e0
| op(e1,e3) = e0
| op(e1,e4) = e0 ),
inference(conjunct,[],[normalize_0_15]) ).
fof(normalize_0_68,plain,
op(e0,e0) != op(e1,e0),
inference(conjunct,[],[normalize_0_1]) ).
fof(normalize_0_69,plain,
e2 != e3,
inference(conjunct,[],[normalize_0_13]) ).
fof(normalize_0_70,plain,
e3 != e4,
inference(conjunct,[],[normalize_0_13]) ).
fof(normalize_0_71,plain,
op(e0,e1) != op(e0,e4),
inference(conjunct,[],[normalize_0_1]) ).
fof(normalize_0_72,plain,
op(e2,e0) != op(e4,e0),
inference(conjunct,[],[normalize_0_1]) ).
fof(normalize_0_73,plain,
op(e2,e0) != op(e2,e1),
inference(conjunct,[],[normalize_0_1]) ).
fof(normalize_0_74,plain,
op(op(e0,e2),op(e2,e0)) = e2,
inference(conjunct,[],[normalize_0_8]) ).
fof(normalize_0_75,plain,
( op(e2,e0) = e0
| op(e2,e0) = e1
| op(e2,e0) = e2
| op(e2,e0) = e3
| op(e2,e0) = e4 ),
inference(conjunct,[],[normalize_0_10]) ).
fof(normalize_0_76,plain,
op(op(e1,e2),op(e2,e1)) = e2,
inference(conjunct,[],[normalize_0_8]) ).
fof(normalize_0_77,plain,
op(op(e1,e2),e2) = e1,
inference(conjunct,[],[normalize_0_4]) ).
fof(normalize_0_78,plain,
op(e1,e2) != op(e2,e2),
inference(conjunct,[],[normalize_0_1]) ).
fof(normalize_0_79,plain,
op(op(e3,e2),op(e2,e3)) = e2,
inference(conjunct,[],[normalize_0_8]) ).
fof(normalize_0_80,plain,
op(op(e4,e2),op(e2,e4)) = e2,
inference(conjunct,[],[normalize_0_8]) ).
fof(normalize_0_81,plain,
( op(e2,e0) = e2
| op(e2,e1) = e2
| op(e2,e2) = e2
| op(e2,e3) = e2
| op(e2,e4) = e2 ),
inference(conjunct,[],[normalize_0_15]) ).
fof(normalize_0_82,plain,
op(e2,e0) != op(e3,e0),
inference(conjunct,[],[normalize_0_1]) ).
fof(normalize_0_83,plain,
op(op(e4,e2),e2) = e4,
inference(conjunct,[],[normalize_0_4]) ).
fof(normalize_0_84,plain,
op(op(e3,e2),e2) = e3,
inference(conjunct,[],[normalize_0_4]) ).
fof(normalize_0_85,plain,
( op(e1,e2) = e0
| op(e1,e2) = e1
| op(e1,e2) = e2
| op(e1,e2) = e3
| op(e1,e2) = e4 ),
inference(conjunct,[],[normalize_0_10]) ).
fof(normalize_0_86,plain,
op(e1,e1) != op(e1,e2),
inference(conjunct,[],[normalize_0_1]) ).
fof(normalize_0_87,plain,
( e0 != op(e4,e3)
| e1 != op(e3,op(e4,e3))
| e2 != op(op(e4,e3),op(e3,op(e4,e3))) ),
inference(canonicalize,[],[ax20]) ).
fof(normalize_0_88,plain,
( op(e0,e0) = e4
| op(e0,e1) = e4
| op(e0,e2) = e4
| op(e0,e3) = e4
| op(e0,e4) = e4 ),
inference(conjunct,[],[normalize_0_15]) ).
fof(normalize_0_89,plain,
op(e1,e3) != op(e4,e3),
inference(conjunct,[],[normalize_0_1]) ).
fof(normalize_0_90,plain,
( e1 != op(e4,e0)
| e2 != op(e0,op(e4,e0))
| e3 != op(op(e4,e0),op(e0,op(e4,e0))) ),
inference(canonicalize,[],[ax32]) ).
fof(normalize_0_91,plain,
op(op(e4,e3),e3) = e4,
inference(conjunct,[],[normalize_0_4]) ).
fof(normalize_0_92,plain,
( op(e4,e0) = e1
| op(e4,e1) = e1
| op(e4,e2) = e1
| op(e4,e3) = e1
| op(e4,e4) = e1 ),
inference(conjunct,[],[normalize_0_15]) ).
fof(normalize_0_93,plain,
op(op(e3,e4),e4) = e3,
inference(conjunct,[],[normalize_0_4]) ).
fof(normalize_0_94,plain,
op(e0,e1) != op(e2,e1),
inference(conjunct,[],[normalize_0_1]) ).
fof(normalize_0_95,plain,
op(e1,e1) != op(e2,e1),
inference(conjunct,[],[normalize_0_1]) ).
fof(normalize_0_96,plain,
( op(e2,e1) = e0
| op(e2,e1) = e1
| op(e2,e1) = e2
| op(e2,e1) = e3
| op(e2,e1) = e4 ),
inference(conjunct,[],[normalize_0_10]) ).
fof(normalize_0_97,plain,
op(e0,e1) != op(e3,e1),
inference(conjunct,[],[normalize_0_1]) ).
fof(normalize_0_98,plain,
op(e1,e1) != op(e3,e1),
inference(conjunct,[],[normalize_0_1]) ).
fof(normalize_0_99,plain,
( op(e3,e1) = e0
| op(e3,e1) = e1
| op(e3,e1) = e2
| op(e3,e1) = e3
| op(e3,e1) = e4 ),
inference(conjunct,[],[normalize_0_10]) ).
fof(normalize_0_100,plain,
op(op(e1,e3),e3) = e1,
inference(conjunct,[],[normalize_0_4]) ).
fof(normalize_0_101,plain,
op(op(e3,e3),op(e3,e3)) = e3,
inference(conjunct,[],[normalize_0_8]) ).
fof(normalize_0_102,plain,
op(e2,e3) != op(e2,e4),
inference(conjunct,[],[normalize_0_1]) ).
fof(normalize_0_103,plain,
( op(e0,e0) = e2
| op(e1,e0) = e2
| op(e2,e0) = e2
| op(e3,e0) = e2
| op(e4,e0) = e2 ),
inference(conjunct,[],[normalize_0_15]) ).
fof(normalize_0_104,plain,
op(e0,e1) != op(e0,e3),
inference(conjunct,[],[normalize_0_1]) ).
fof(normalize_0_105,plain,
( e0 != op(e4,e1)
| e2 != op(op(e4,e1),op(e1,op(e4,e1)))
| e3 != op(e1,op(e4,e1)) ),
inference(canonicalize,[],[ax10]) ).
fof(normalize_0_106,plain,
( op(e4,e0) = e0
| op(e4,e1) = e0
| op(e4,e2) = e0
| op(e4,e3) = e0
| op(e4,e4) = e0 ),
inference(conjunct,[],[normalize_0_15]) ).
fof(normalize_0_107,plain,
op(e0,e0) != op(e4,e0),
inference(conjunct,[],[normalize_0_1]) ).
fof(normalize_0_108,plain,
op(e0,e1) != op(e0,e2),
inference(conjunct,[],[normalize_0_1]) ).
cnf(refute_0_0,plain,
( e2 != op(op(e0,e1),op(e1,op(e0,e1)))
| e3 != op(e1,op(e0,e1))
| e4 != op(e0,e1) ),
inference(canonicalize,[],[normalize_0_0]) ).
cnf(refute_0_1,plain,
e4 = e4,
introduced(tautology,[refl,[$fot(e4)]]) ).
cnf(refute_0_2,plain,
( e4 != e4
| e4 != op(e0,e1)
| op(e0,e1) = e4 ),
introduced(tautology,[equality,[$cnf( $equal(e4,e4) ),[0],$fot(op(e0,e1))]]) ).
cnf(refute_0_3,plain,
( e4 != op(e0,e1)
| op(e0,e1) = e4 ),
inference(resolve,[$cnf( $equal(e4,e4) )],[refute_0_1,refute_0_2]) ).
cnf(refute_0_4,plain,
op(e1,op(e0,e1)) = op(e1,op(e0,e1)),
introduced(tautology,[refl,[$fot(op(e1,op(e0,e1)))]]) ).
cnf(refute_0_5,plain,
( op(e0,e1) != e4
| op(e1,op(e0,e1)) != op(e1,op(e0,e1))
| op(e1,op(e0,e1)) = op(e1,e4) ),
introduced(tautology,[equality,[$cnf( $equal(op(e1,op(e0,e1)),op(e1,op(e0,e1))) ),[1,1],$fot(e4)]]) ).
cnf(refute_0_6,plain,
( op(e0,e1) != e4
| op(e1,op(e0,e1)) = op(e1,e4) ),
inference(resolve,[$cnf( $equal(op(e1,op(e0,e1)),op(e1,op(e0,e1))) )],[refute_0_4,refute_0_5]) ).
cnf(refute_0_7,plain,
( e4 != op(e0,e1)
| op(e1,op(e0,e1)) = op(e1,e4) ),
inference(resolve,[$cnf( $equal(op(e0,e1),e4) )],[refute_0_3,refute_0_6]) ).
cnf(refute_0_8,plain,
( e3 != op(e1,e4)
| op(e1,op(e0,e1)) != op(e1,e4)
| e3 = op(e1,op(e0,e1)) ),
introduced(tautology,[equality,[$cnf( ~ $equal(e3,op(e1,op(e0,e1))) ),[1],$fot(op(e1,e4))]]) ).
cnf(refute_0_9,plain,
( e3 != op(e1,e4)
| e4 != op(e0,e1)
| e3 = op(e1,op(e0,e1)) ),
inference(resolve,[$cnf( $equal(op(e1,op(e0,e1)),op(e1,e4)) )],[refute_0_7,refute_0_8]) ).
cnf(refute_0_10,plain,
( e2 != op(op(e0,e1),op(e1,op(e0,e1)))
| e3 != op(e1,e4)
| e4 != op(e0,e1) ),
inference(resolve,[$cnf( $equal(e3,op(e1,op(e0,e1))) )],[refute_0_9,refute_0_0]) ).
cnf(refute_0_11,plain,
e3 = e3,
introduced(tautology,[refl,[$fot(e3)]]) ).
cnf(refute_0_12,plain,
( e3 != e3
| e3 != op(e1,e4)
| op(e1,e4) = e3 ),
introduced(tautology,[equality,[$cnf( $equal(e3,e3) ),[0],$fot(op(e1,e4))]]) ).
cnf(refute_0_13,plain,
( e3 != op(e1,e4)
| op(e1,e4) = e3 ),
inference(resolve,[$cnf( $equal(e3,e3) )],[refute_0_11,refute_0_12]) ).
cnf(refute_0_14,plain,
X = X,
introduced(tautology,[refl,[$fot(X)]]) ).
cnf(refute_0_15,plain,
( X != X
| X != Y
| Y = X ),
introduced(tautology,[equality,[$cnf( $equal(X,X) ),[0],$fot(Y)]]) ).
cnf(refute_0_16,plain,
( X != Y
| Y = X ),
inference(resolve,[$cnf( $equal(X,X) )],[refute_0_14,refute_0_15]) ).
cnf(refute_0_17,plain,
( Y != X
| Y != Z
| X = Z ),
introduced(tautology,[equality,[$cnf( $equal(Y,Z) ),[0],$fot(X)]]) ).
cnf(refute_0_18,plain,
( X != Y
| Y != Z
| X = Z ),
inference(resolve,[$cnf( $equal(Y,X) )],[refute_0_16,refute_0_17]) ).
cnf(refute_0_19,plain,
( op(e1,e4) != e3
| op(e1,op(e0,e1)) != op(e1,e4)
| op(e1,op(e0,e1)) = e3 ),
inference(subst,[],[refute_0_18:[bind(X,$fot(op(e1,op(e0,e1)))),bind(Y,$fot(op(e1,e4))),bind(Z,$fot(e3))]]) ).
cnf(refute_0_20,plain,
( e4 != op(e0,e1)
| op(e1,e4) != e3
| op(e1,op(e0,e1)) = e3 ),
inference(resolve,[$cnf( $equal(op(e1,op(e0,e1)),op(e1,e4)) )],[refute_0_7,refute_0_19]) ).
cnf(refute_0_21,plain,
( e3 != op(e1,e4)
| e4 != op(e0,e1)
| op(e1,op(e0,e1)) = e3 ),
inference(resolve,[$cnf( $equal(op(e1,e4),e3) )],[refute_0_13,refute_0_20]) ).
cnf(refute_0_22,plain,
op(e4,op(e1,op(e0,e1))) = op(e4,op(e1,op(e0,e1))),
introduced(tautology,[refl,[$fot(op(e4,op(e1,op(e0,e1))))]]) ).
cnf(refute_0_23,plain,
( op(e1,op(e0,e1)) != e3
| op(e4,op(e1,op(e0,e1))) != op(e4,op(e1,op(e0,e1)))
| op(e4,op(e1,op(e0,e1))) = op(e4,e3) ),
introduced(tautology,[equality,[$cnf( $equal(op(e4,op(e1,op(e0,e1))),op(e4,op(e1,op(e0,e1)))) ),[1,1],$fot(e3)]]) ).
cnf(refute_0_24,plain,
( op(e1,op(e0,e1)) != e3
| op(e4,op(e1,op(e0,e1))) = op(e4,e3) ),
inference(resolve,[$cnf( $equal(op(e4,op(e1,op(e0,e1))),op(e4,op(e1,op(e0,e1)))) )],[refute_0_22,refute_0_23]) ).
cnf(refute_0_25,plain,
( e3 != op(e1,e4)
| e4 != op(e0,e1)
| op(e4,op(e1,op(e0,e1))) = op(e4,e3) ),
inference(resolve,[$cnf( $equal(op(e1,op(e0,e1)),e3) )],[refute_0_21,refute_0_24]) ).
cnf(refute_0_26,plain,
op(op(e0,e1),op(e1,op(e0,e1))) = op(op(e0,e1),op(e1,op(e0,e1))),
introduced(tautology,[refl,[$fot(op(op(e0,e1),op(e1,op(e0,e1))))]]) ).
cnf(refute_0_27,plain,
( op(e0,e1) != e4
| op(op(e0,e1),op(e1,op(e0,e1))) != op(op(e0,e1),op(e1,op(e0,e1)))
| op(op(e0,e1),op(e1,op(e0,e1))) = op(e4,op(e1,op(e0,e1))) ),
introduced(tautology,[equality,[$cnf( $equal(op(op(e0,e1),op(e1,op(e0,e1))),op(op(e0,e1),op(e1,op(e0,e1)))) ),[1,0],$fot(e4)]]) ).
cnf(refute_0_28,plain,
( op(e0,e1) != e4
| op(op(e0,e1),op(e1,op(e0,e1))) = op(e4,op(e1,op(e0,e1))) ),
inference(resolve,[$cnf( $equal(op(op(e0,e1),op(e1,op(e0,e1))),op(op(e0,e1),op(e1,op(e0,e1)))) )],[refute_0_26,refute_0_27]) ).
cnf(refute_0_29,plain,
( e4 != op(e0,e1)
| op(op(e0,e1),op(e1,op(e0,e1))) = op(e4,op(e1,op(e0,e1))) ),
inference(resolve,[$cnf( $equal(op(e0,e1),e4) )],[refute_0_3,refute_0_28]) ).
cnf(refute_0_30,plain,
( op(e4,op(e1,op(e0,e1))) != op(e4,e3)
| op(op(e0,e1),op(e1,op(e0,e1))) != op(e4,op(e1,op(e0,e1)))
| op(op(e0,e1),op(e1,op(e0,e1))) = op(e4,e3) ),
inference(subst,[],[refute_0_18:[bind(X,$fot(op(op(e0,e1),op(e1,op(e0,e1))))),bind(Y,$fot(op(e4,op(e1,op(e0,e1))))),bind(Z,$fot(op(e4,e3)))]]) ).
cnf(refute_0_31,plain,
( e4 != op(e0,e1)
| op(e4,op(e1,op(e0,e1))) != op(e4,e3)
| op(op(e0,e1),op(e1,op(e0,e1))) = op(e4,e3) ),
inference(resolve,[$cnf( $equal(op(op(e0,e1),op(e1,op(e0,e1))),op(e4,op(e1,op(e0,e1)))) )],[refute_0_29,refute_0_30]) ).
cnf(refute_0_32,plain,
( e3 != op(e1,e4)
| e4 != op(e0,e1)
| op(op(e0,e1),op(e1,op(e0,e1))) = op(e4,e3) ),
inference(resolve,[$cnf( $equal(op(e4,op(e1,op(e0,e1))),op(e4,e3)) )],[refute_0_25,refute_0_31]) ).
cnf(refute_0_33,plain,
( e2 != op(e4,e3)
| op(op(e0,e1),op(e1,op(e0,e1))) != op(e4,e3)
| e2 = op(op(e0,e1),op(e1,op(e0,e1))) ),
introduced(tautology,[equality,[$cnf( ~ $equal(e2,op(op(e0,e1),op(e1,op(e0,e1)))) ),[1],$fot(op(e4,e3))]]) ).
cnf(refute_0_34,plain,
( e2 != op(e4,e3)
| e3 != op(e1,e4)
| e4 != op(e0,e1)
| e2 = op(op(e0,e1),op(e1,op(e0,e1))) ),
inference(resolve,[$cnf( $equal(op(op(e0,e1),op(e1,op(e0,e1))),op(e4,e3)) )],[refute_0_32,refute_0_33]) ).
cnf(refute_0_35,plain,
( e2 != op(e4,e3)
| e3 != op(e1,e4)
| e4 != op(e0,e1) ),
inference(resolve,[$cnf( $equal(e2,op(op(e0,e1),op(e1,op(e0,e1)))) )],[refute_0_34,refute_0_10]) ).
cnf(refute_0_36,plain,
op(e1,e0) != op(e1,e3),
inference(canonicalize,[],[normalize_0_2]) ).
cnf(refute_0_37,plain,
op(e4,e0) != op(e4,e1),
inference(canonicalize,[],[normalize_0_3]) ).
cnf(refute_0_38,plain,
op(op(e3,e0),e0) = e3,
inference(canonicalize,[],[normalize_0_5]) ).
cnf(refute_0_39,plain,
op(e3,e0) != op(e4,e0),
inference(canonicalize,[],[normalize_0_6]) ).
cnf(refute_0_40,plain,
op(op(e4,e0),e0) = e4,
inference(canonicalize,[],[normalize_0_7]) ).
cnf(refute_0_41,plain,
op(op(e0,e4),op(e4,e0)) = e4,
inference(canonicalize,[],[normalize_0_9]) ).
cnf(refute_0_42,plain,
( op(e4,e0) = e0
| op(e4,e0) = e1
| op(e4,e0) = e2
| op(e4,e0) = e3
| op(e4,e0) = e4 ),
inference(canonicalize,[],[normalize_0_11]) ).
cnf(refute_0_43,plain,
( op(e4,e0) != e0
| op(op(e4,e0),e0) != e4
| op(e0,e0) = e4 ),
introduced(tautology,[equality,[$cnf( $equal(op(op(e4,e0),e0),e4) ),[0,0],$fot(e0)]]) ).
cnf(refute_0_44,plain,
( op(op(e4,e0),e0) != e4
| op(e0,e0) = e4
| op(e4,e0) = e1
| op(e4,e0) = e2
| op(e4,e0) = e3
| op(e4,e0) = e4 ),
inference(resolve,[$cnf( $equal(op(e4,e0),e0) )],[refute_0_42,refute_0_43]) ).
cnf(refute_0_45,plain,
( op(e0,e0) = e4
| op(e4,e0) = e1
| op(e4,e0) = e2
| op(e4,e0) = e3
| op(e4,e0) = e4 ),
inference(resolve,[$cnf( $equal(op(op(e4,e0),e0),e4) )],[refute_0_40,refute_0_44]) ).
cnf(refute_0_46,plain,
( op(e4,e0) != e4
| op(op(e0,e4),op(e4,e0)) != e4
| op(op(e0,e4),e4) = e4 ),
introduced(tautology,[equality,[$cnf( $equal(op(op(e0,e4),op(e4,e0)),e4) ),[0,1],$fot(e4)]]) ).
cnf(refute_0_47,plain,
( op(op(e0,e4),op(e4,e0)) != e4
| op(e0,e0) = e4
| op(e4,e0) = e1
| op(e4,e0) = e2
| op(e4,e0) = e3
| op(op(e0,e4),e4) = e4 ),
inference(resolve,[$cnf( $equal(op(e4,e0),e4) )],[refute_0_45,refute_0_46]) ).
cnf(refute_0_48,plain,
( op(e0,e0) = e4
| op(e4,e0) = e1
| op(e4,e0) = e2
| op(e4,e0) = e3
| op(op(e0,e4),e4) = e4 ),
inference(resolve,[$cnf( $equal(op(op(e0,e4),op(e4,e0)),e4) )],[refute_0_41,refute_0_47]) ).
cnf(refute_0_49,plain,
op(op(e0,e4),e4) = e0,
inference(canonicalize,[],[normalize_0_12]) ).
cnf(refute_0_50,plain,
( op(op(e0,e4),e4) != e0
| op(op(e0,e4),e4) != e4
| e0 = e4 ),
introduced(tautology,[equality,[$cnf( $equal(op(op(e0,e4),e4),e4) ),[0],$fot(e0)]]) ).
cnf(refute_0_51,plain,
( op(op(e0,e4),e4) != e4
| e0 = e4 ),
inference(resolve,[$cnf( $equal(op(op(e0,e4),e4),e0) )],[refute_0_49,refute_0_50]) ).
cnf(refute_0_52,plain,
( e0 = e4
| op(e0,e0) = e4
| op(e4,e0) = e1
| op(e4,e0) = e2
| op(e4,e0) = e3 ),
inference(resolve,[$cnf( $equal(op(op(e0,e4),e4),e4) )],[refute_0_48,refute_0_51]) ).
cnf(refute_0_53,plain,
e0 != e4,
inference(canonicalize,[],[normalize_0_14]) ).
cnf(refute_0_54,plain,
( op(e0,e0) = e4
| op(e4,e0) = e1
| op(e4,e0) = e2
| op(e4,e0) = e3 ),
inference(resolve,[$cnf( $equal(e0,e4) )],[refute_0_52,refute_0_53]) ).
cnf(refute_0_55,plain,
( op(e0,e0) = e0
| op(e0,e1) = e0
| op(e0,e2) = e0
| op(e0,e3) = e0
| op(e0,e4) = e0 ),
inference(canonicalize,[],[normalize_0_16]) ).
cnf(refute_0_56,plain,
op(e0,e1) != op(e1,e1),
inference(canonicalize,[],[normalize_0_17]) ).
cnf(refute_0_57,plain,
op(op(e0,e1),e1) = e0,
inference(canonicalize,[],[normalize_0_18]) ).
cnf(refute_0_58,plain,
op(op(e1,e0),op(e0,e1)) = e0,
inference(canonicalize,[],[normalize_0_19]) ).
cnf(refute_0_59,plain,
( op(e0,e1) = e0
| op(e0,e1) = e1
| op(e0,e1) = e2
| op(e0,e1) = e3
| op(e0,e1) = e4 ),
inference(canonicalize,[],[normalize_0_20]) ).
cnf(refute_0_60,plain,
( op(e0,e1) != e0
| op(op(e1,e0),op(e0,e1)) != e0
| op(op(e1,e0),e0) = e0 ),
introduced(tautology,[equality,[$cnf( $equal(op(op(e1,e0),op(e0,e1)),e0) ),[0,1],$fot(e0)]]) ).
cnf(refute_0_61,plain,
( op(op(e1,e0),op(e0,e1)) != e0
| op(e0,e1) = e1
| op(e0,e1) = e2
| op(e0,e1) = e3
| op(e0,e1) = e4
| op(op(e1,e0),e0) = e0 ),
inference(resolve,[$cnf( $equal(op(e0,e1),e0) )],[refute_0_59,refute_0_60]) ).
cnf(refute_0_62,plain,
( op(e0,e1) = e1
| op(e0,e1) = e2
| op(e0,e1) = e3
| op(e0,e1) = e4
| op(op(e1,e0),e0) = e0 ),
inference(resolve,[$cnf( $equal(op(op(e1,e0),op(e0,e1)),e0) )],[refute_0_58,refute_0_61]) ).
cnf(refute_0_63,plain,
op(op(e1,e0),e0) = e1,
inference(canonicalize,[],[normalize_0_21]) ).
cnf(refute_0_64,plain,
( op(op(e1,e0),e0) != e0
| op(op(e1,e0),e0) != e1
| e1 = e0 ),
introduced(tautology,[equality,[$cnf( $equal(op(op(e1,e0),e0),e0) ),[0],$fot(e1)]]) ).
cnf(refute_0_65,plain,
( op(op(e1,e0),e0) != e0
| e1 = e0 ),
inference(resolve,[$cnf( $equal(op(op(e1,e0),e0),e1) )],[refute_0_63,refute_0_64]) ).
cnf(refute_0_66,plain,
( e1 = e0
| op(e0,e1) = e1
| op(e0,e1) = e2
| op(e0,e1) = e3
| op(e0,e1) = e4 ),
inference(resolve,[$cnf( $equal(op(op(e1,e0),e0),e0) )],[refute_0_62,refute_0_65]) ).
cnf(refute_0_67,plain,
e0 != e1,
inference(canonicalize,[],[normalize_0_22]) ).
cnf(refute_0_68,plain,
( e1 != e0
| e0 = e1 ),
inference(subst,[],[refute_0_16:[bind(X,$fot(e1)),bind(Y,$fot(e0))]]) ).
cnf(refute_0_69,plain,
e1 != e0,
inference(resolve,[$cnf( $equal(e0,e1) )],[refute_0_68,refute_0_67]) ).
cnf(refute_0_70,plain,
( op(e0,e1) = e1
| op(e0,e1) = e2
| op(e0,e1) = e3
| op(e0,e1) = e4 ),
inference(resolve,[$cnf( $equal(e1,e0) )],[refute_0_66,refute_0_69]) ).
cnf(refute_0_71,plain,
( op(e0,e1) != e1
| op(op(e0,e1),e1) != e0
| op(e1,e1) = e0 ),
introduced(tautology,[equality,[$cnf( $equal(op(op(e0,e1),e1),e0) ),[0,0],$fot(e1)]]) ).
cnf(refute_0_72,plain,
( op(op(e0,e1),e1) != e0
| op(e0,e1) = e2
| op(e0,e1) = e3
| op(e0,e1) = e4
| op(e1,e1) = e0 ),
inference(resolve,[$cnf( $equal(op(e0,e1),e1) )],[refute_0_70,refute_0_71]) ).
cnf(refute_0_73,plain,
( op(e0,e1) = e2
| op(e0,e1) = e3
| op(e0,e1) = e4
| op(e1,e1) = e0 ),
inference(resolve,[$cnf( $equal(op(op(e0,e1),e1),e0) )],[refute_0_57,refute_0_72]) ).
cnf(refute_0_74,plain,
( op(e0,e1) != e0
| op(e1,e1) != e0
| op(e0,e1) = op(e1,e1) ),
introduced(tautology,[equality,[$cnf( ~ $equal(op(e0,e1),op(e1,e1)) ),[1],$fot(e0)]]) ).
cnf(refute_0_75,plain,
( op(e0,e1) != e0
| op(e0,e1) = e2
| op(e0,e1) = e3
| op(e0,e1) = e4
| op(e0,e1) = op(e1,e1) ),
inference(resolve,[$cnf( $equal(op(e1,e1),e0) )],[refute_0_73,refute_0_74]) ).
cnf(refute_0_76,plain,
( op(e0,e1) != e0
| op(e0,e1) = e2
| op(e0,e1) = e3
| op(e0,e1) = e4 ),
inference(resolve,[$cnf( $equal(op(e0,e1),op(e1,e1)) )],[refute_0_75,refute_0_56]) ).
cnf(refute_0_77,plain,
( op(e0,e1) != e0
| op(e0,e1) != e2
| e0 = e2 ),
introduced(tautology,[equality,[$cnf( $equal(op(e0,e1),e2) ),[0],$fot(e0)]]) ).
cnf(refute_0_78,plain,
( op(e0,e1) != e0
| e0 = e2
| op(e0,e1) = e3
| op(e0,e1) = e4 ),
inference(resolve,[$cnf( $equal(op(e0,e1),e2) )],[refute_0_76,refute_0_77]) ).
cnf(refute_0_79,plain,
( op(e0,e1) != e0
| op(e0,e1) != e3
| e0 = e3 ),
introduced(tautology,[equality,[$cnf( $equal(op(e0,e1),e3) ),[0],$fot(e0)]]) ).
cnf(refute_0_80,plain,
( op(e0,e1) != e0
| e0 = e2
| e0 = e3
| op(e0,e1) = e4 ),
inference(resolve,[$cnf( $equal(op(e0,e1),e3) )],[refute_0_78,refute_0_79]) ).
cnf(refute_0_81,plain,
( op(e0,e1) != e0
| op(e0,e1) != e4
| e0 = e4 ),
introduced(tautology,[equality,[$cnf( $equal(op(e0,e1),e4) ),[0],$fot(e0)]]) ).
cnf(refute_0_82,plain,
( op(e0,e1) != e0
| e0 = e2
| e0 = e3
| e0 = e4 ),
inference(resolve,[$cnf( $equal(op(e0,e1),e4) )],[refute_0_80,refute_0_81]) ).
cnf(refute_0_83,plain,
e0 != e2,
inference(canonicalize,[],[normalize_0_23]) ).
cnf(refute_0_84,plain,
( op(e0,e1) != e0
| e0 = e3
| e0 = e4 ),
inference(resolve,[$cnf( $equal(e0,e2) )],[refute_0_82,refute_0_83]) ).
cnf(refute_0_85,plain,
e0 != e3,
inference(canonicalize,[],[normalize_0_24]) ).
cnf(refute_0_86,plain,
( op(e0,e1) != e0
| e0 = e4 ),
inference(resolve,[$cnf( $equal(e0,e3) )],[refute_0_84,refute_0_85]) ).
cnf(refute_0_87,plain,
op(e0,e1) != e0,
inference(resolve,[$cnf( $equal(e0,e4) )],[refute_0_86,refute_0_53]) ).
cnf(refute_0_88,plain,
( op(e0,e0) = e0
| op(e0,e2) = e0
| op(e0,e3) = e0
| op(e0,e4) = e0 ),
inference(resolve,[$cnf( $equal(op(e0,e1),e0) )],[refute_0_55,refute_0_87]) ).
cnf(refute_0_89,plain,
op(e0,e2) != op(e1,e2),
inference(canonicalize,[],[normalize_0_25]) ).
cnf(refute_0_90,plain,
op(op(e0,e2),e2) = e0,
inference(canonicalize,[],[normalize_0_26]) ).
cnf(refute_0_91,plain,
op(op(e2,e0),op(e0,e2)) = e0,
inference(canonicalize,[],[normalize_0_27]) ).
cnf(refute_0_92,plain,
( op(e0,e2) = e0
| op(e0,e2) = e1
| op(e0,e2) = e2
| op(e0,e2) = e3
| op(e0,e2) = e4 ),
inference(canonicalize,[],[normalize_0_28]) ).
cnf(refute_0_93,plain,
( op(e0,e2) != e0
| op(op(e2,e0),op(e0,e2)) != e0
| op(op(e2,e0),e0) = e0 ),
introduced(tautology,[equality,[$cnf( $equal(op(op(e2,e0),op(e0,e2)),e0) ),[0,1],$fot(e0)]]) ).
cnf(refute_0_94,plain,
( op(op(e2,e0),op(e0,e2)) != e0
| op(e0,e2) = e1
| op(e0,e2) = e2
| op(e0,e2) = e3
| op(e0,e2) = e4
| op(op(e2,e0),e0) = e0 ),
inference(resolve,[$cnf( $equal(op(e0,e2),e0) )],[refute_0_92,refute_0_93]) ).
cnf(refute_0_95,plain,
( op(e0,e2) = e1
| op(e0,e2) = e2
| op(e0,e2) = e3
| op(e0,e2) = e4
| op(op(e2,e0),e0) = e0 ),
inference(resolve,[$cnf( $equal(op(op(e2,e0),op(e0,e2)),e0) )],[refute_0_91,refute_0_94]) ).
cnf(refute_0_96,plain,
op(op(e2,e0),e0) = e2,
inference(canonicalize,[],[normalize_0_29]) ).
cnf(refute_0_97,plain,
( op(op(e2,e0),e0) != e0
| op(op(e2,e0),e0) != e2
| e2 = e0 ),
introduced(tautology,[equality,[$cnf( $equal(op(op(e2,e0),e0),e0) ),[0],$fot(e2)]]) ).
cnf(refute_0_98,plain,
( op(op(e2,e0),e0) != e0
| e2 = e0 ),
inference(resolve,[$cnf( $equal(op(op(e2,e0),e0),e2) )],[refute_0_96,refute_0_97]) ).
cnf(refute_0_99,plain,
( e2 = e0
| op(e0,e2) = e1
| op(e0,e2) = e2
| op(e0,e2) = e3
| op(e0,e2) = e4 ),
inference(resolve,[$cnf( $equal(op(op(e2,e0),e0),e0) )],[refute_0_95,refute_0_98]) ).
cnf(refute_0_100,plain,
( e2 != e0
| e0 = e2 ),
inference(subst,[],[refute_0_16:[bind(X,$fot(e2)),bind(Y,$fot(e0))]]) ).
cnf(refute_0_101,plain,
e2 != e0,
inference(resolve,[$cnf( $equal(e0,e2) )],[refute_0_100,refute_0_83]) ).
cnf(refute_0_102,plain,
( op(e0,e2) = e1
| op(e0,e2) = e2
| op(e0,e2) = e3
| op(e0,e2) = e4 ),
inference(resolve,[$cnf( $equal(e2,e0) )],[refute_0_99,refute_0_101]) ).
cnf(refute_0_103,plain,
( op(e0,e2) != e1
| op(op(e0,e2),e2) != e0
| op(e1,e2) = e0 ),
introduced(tautology,[equality,[$cnf( $equal(op(op(e0,e2),e2),e0) ),[0,0],$fot(e1)]]) ).
cnf(refute_0_104,plain,
( op(op(e0,e2),e2) != e0
| op(e0,e2) = e2
| op(e0,e2) = e3
| op(e0,e2) = e4
| op(e1,e2) = e0 ),
inference(resolve,[$cnf( $equal(op(e0,e2),e1) )],[refute_0_102,refute_0_103]) ).
cnf(refute_0_105,plain,
( op(e0,e2) = e2
| op(e0,e2) = e3
| op(e0,e2) = e4
| op(e1,e2) = e0 ),
inference(resolve,[$cnf( $equal(op(op(e0,e2),e2),e0) )],[refute_0_90,refute_0_104]) ).
cnf(refute_0_106,plain,
( op(e0,e2) != e0
| op(e1,e2) != e0
| op(e0,e2) = op(e1,e2) ),
introduced(tautology,[equality,[$cnf( ~ $equal(op(e0,e2),op(e1,e2)) ),[1],$fot(e0)]]) ).
cnf(refute_0_107,plain,
( op(e0,e2) != e0
| op(e0,e2) = e2
| op(e0,e2) = e3
| op(e0,e2) = e4
| op(e0,e2) = op(e1,e2) ),
inference(resolve,[$cnf( $equal(op(e1,e2),e0) )],[refute_0_105,refute_0_106]) ).
cnf(refute_0_108,plain,
( op(e0,e2) != e0
| op(e0,e2) = e2
| op(e0,e2) = e3
| op(e0,e2) = e4 ),
inference(resolve,[$cnf( $equal(op(e0,e2),op(e1,e2)) )],[refute_0_107,refute_0_89]) ).
cnf(refute_0_109,plain,
( op(e0,e2) != e0
| op(e0,e2) != e2
| e0 = e2 ),
introduced(tautology,[equality,[$cnf( $equal(op(e0,e2),e2) ),[0],$fot(e0)]]) ).
cnf(refute_0_110,plain,
( op(e0,e2) != e0
| e0 = e2
| op(e0,e2) = e3
| op(e0,e2) = e4 ),
inference(resolve,[$cnf( $equal(op(e0,e2),e2) )],[refute_0_108,refute_0_109]) ).
cnf(refute_0_111,plain,
( op(e0,e2) != e0
| op(e0,e2) != e3
| e0 = e3 ),
introduced(tautology,[equality,[$cnf( $equal(op(e0,e2),e3) ),[0],$fot(e0)]]) ).
cnf(refute_0_112,plain,
( op(e0,e2) != e0
| e0 = e2
| e0 = e3
| op(e0,e2) = e4 ),
inference(resolve,[$cnf( $equal(op(e0,e2),e3) )],[refute_0_110,refute_0_111]) ).
cnf(refute_0_113,plain,
( op(e0,e2) != e0
| op(e0,e2) != e4
| e0 = e4 ),
introduced(tautology,[equality,[$cnf( $equal(op(e0,e2),e4) ),[0],$fot(e0)]]) ).
cnf(refute_0_114,plain,
( op(e0,e2) != e0
| e0 = e2
| e0 = e3
| e0 = e4 ),
inference(resolve,[$cnf( $equal(op(e0,e2),e4) )],[refute_0_112,refute_0_113]) ).
cnf(refute_0_115,plain,
( op(e0,e2) != e0
| e0 = e3
| e0 = e4 ),
inference(resolve,[$cnf( $equal(e0,e2) )],[refute_0_114,refute_0_83]) ).
cnf(refute_0_116,plain,
( op(e0,e2) != e0
| e0 = e4 ),
inference(resolve,[$cnf( $equal(e0,e3) )],[refute_0_115,refute_0_85]) ).
cnf(refute_0_117,plain,
op(e0,e2) != e0,
inference(resolve,[$cnf( $equal(e0,e4) )],[refute_0_116,refute_0_53]) ).
cnf(refute_0_118,plain,
( op(e0,e0) = e0
| op(e0,e3) = e0
| op(e0,e4) = e0 ),
inference(resolve,[$cnf( $equal(op(e0,e2),e0) )],[refute_0_88,refute_0_117]) ).
cnf(refute_0_119,plain,
op(e0,e3) != op(e1,e3),
inference(canonicalize,[],[normalize_0_30]) ).
cnf(refute_0_120,plain,
op(op(e0,e3),e3) = e0,
inference(canonicalize,[],[normalize_0_31]) ).
cnf(refute_0_121,plain,
op(op(e3,e0),op(e0,e3)) = e0,
inference(canonicalize,[],[normalize_0_32]) ).
cnf(refute_0_122,plain,
( op(e0,e3) = e0
| op(e0,e3) = e1
| op(e0,e3) = e2
| op(e0,e3) = e3
| op(e0,e3) = e4 ),
inference(canonicalize,[],[normalize_0_33]) ).
cnf(refute_0_123,plain,
( op(e0,e3) != e0
| op(op(e3,e0),op(e0,e3)) != e0
| op(op(e3,e0),e0) = e0 ),
introduced(tautology,[equality,[$cnf( $equal(op(op(e3,e0),op(e0,e3)),e0) ),[0,1],$fot(e0)]]) ).
cnf(refute_0_124,plain,
( op(op(e3,e0),op(e0,e3)) != e0
| op(e0,e3) = e1
| op(e0,e3) = e2
| op(e0,e3) = e3
| op(e0,e3) = e4
| op(op(e3,e0),e0) = e0 ),
inference(resolve,[$cnf( $equal(op(e0,e3),e0) )],[refute_0_122,refute_0_123]) ).
cnf(refute_0_125,plain,
( op(e0,e3) = e1
| op(e0,e3) = e2
| op(e0,e3) = e3
| op(e0,e3) = e4
| op(op(e3,e0),e0) = e0 ),
inference(resolve,[$cnf( $equal(op(op(e3,e0),op(e0,e3)),e0) )],[refute_0_121,refute_0_124]) ).
cnf(refute_0_126,plain,
( op(op(e3,e0),e0) != e0
| op(op(e3,e0),e0) != e3
| e3 = e0 ),
introduced(tautology,[equality,[$cnf( $equal(op(op(e3,e0),e0),e0) ),[0],$fot(e3)]]) ).
cnf(refute_0_127,plain,
( op(op(e3,e0),e0) != e0
| e3 = e0 ),
inference(resolve,[$cnf( $equal(op(op(e3,e0),e0),e3) )],[refute_0_38,refute_0_126]) ).
cnf(refute_0_128,plain,
( e3 = e0
| op(e0,e3) = e1
| op(e0,e3) = e2
| op(e0,e3) = e3
| op(e0,e3) = e4 ),
inference(resolve,[$cnf( $equal(op(op(e3,e0),e0),e0) )],[refute_0_125,refute_0_127]) ).
cnf(refute_0_129,plain,
( e3 != e0
| e0 = e3 ),
inference(subst,[],[refute_0_16:[bind(X,$fot(e3)),bind(Y,$fot(e0))]]) ).
cnf(refute_0_130,plain,
e3 != e0,
inference(resolve,[$cnf( $equal(e0,e3) )],[refute_0_129,refute_0_85]) ).
cnf(refute_0_131,plain,
( op(e0,e3) = e1
| op(e0,e3) = e2
| op(e0,e3) = e3
| op(e0,e3) = e4 ),
inference(resolve,[$cnf( $equal(e3,e0) )],[refute_0_128,refute_0_130]) ).
cnf(refute_0_132,plain,
( op(e0,e3) != e1
| op(op(e0,e3),e3) != e0
| op(e1,e3) = e0 ),
introduced(tautology,[equality,[$cnf( $equal(op(op(e0,e3),e3),e0) ),[0,0],$fot(e1)]]) ).
cnf(refute_0_133,plain,
( op(op(e0,e3),e3) != e0
| op(e0,e3) = e2
| op(e0,e3) = e3
| op(e0,e3) = e4
| op(e1,e3) = e0 ),
inference(resolve,[$cnf( $equal(op(e0,e3),e1) )],[refute_0_131,refute_0_132]) ).
cnf(refute_0_134,plain,
( op(e0,e3) = e2
| op(e0,e3) = e3
| op(e0,e3) = e4
| op(e1,e3) = e0 ),
inference(resolve,[$cnf( $equal(op(op(e0,e3),e3),e0) )],[refute_0_120,refute_0_133]) ).
cnf(refute_0_135,plain,
( op(e0,e3) != e0
| op(e1,e3) != e0
| op(e0,e3) = op(e1,e3) ),
introduced(tautology,[equality,[$cnf( ~ $equal(op(e0,e3),op(e1,e3)) ),[1],$fot(e0)]]) ).
cnf(refute_0_136,plain,
( op(e0,e3) != e0
| op(e0,e3) = e2
| op(e0,e3) = e3
| op(e0,e3) = e4
| op(e0,e3) = op(e1,e3) ),
inference(resolve,[$cnf( $equal(op(e1,e3),e0) )],[refute_0_134,refute_0_135]) ).
cnf(refute_0_137,plain,
( op(e0,e3) != e0
| op(e0,e3) = e2
| op(e0,e3) = e3
| op(e0,e3) = e4 ),
inference(resolve,[$cnf( $equal(op(e0,e3),op(e1,e3)) )],[refute_0_136,refute_0_119]) ).
cnf(refute_0_138,plain,
( op(e0,e3) != e0
| op(e0,e3) != e2
| e0 = e2 ),
introduced(tautology,[equality,[$cnf( $equal(op(e0,e3),e2) ),[0],$fot(e0)]]) ).
cnf(refute_0_139,plain,
( op(e0,e3) != e0
| e0 = e2
| op(e0,e3) = e3
| op(e0,e3) = e4 ),
inference(resolve,[$cnf( $equal(op(e0,e3),e2) )],[refute_0_137,refute_0_138]) ).
cnf(refute_0_140,plain,
( op(e0,e3) != e0
| op(e0,e3) != e3
| e0 = e3 ),
introduced(tautology,[equality,[$cnf( $equal(op(e0,e3),e3) ),[0],$fot(e0)]]) ).
cnf(refute_0_141,plain,
( op(e0,e3) != e0
| e0 = e2
| e0 = e3
| op(e0,e3) = e4 ),
inference(resolve,[$cnf( $equal(op(e0,e3),e3) )],[refute_0_139,refute_0_140]) ).
cnf(refute_0_142,plain,
( op(e0,e3) != e0
| op(e0,e3) != e4
| e0 = e4 ),
introduced(tautology,[equality,[$cnf( $equal(op(e0,e3),e4) ),[0],$fot(e0)]]) ).
cnf(refute_0_143,plain,
( op(e0,e3) != e0
| e0 = e2
| e0 = e3
| e0 = e4 ),
inference(resolve,[$cnf( $equal(op(e0,e3),e4) )],[refute_0_141,refute_0_142]) ).
cnf(refute_0_144,plain,
( op(e0,e3) != e0
| e0 = e3
| e0 = e4 ),
inference(resolve,[$cnf( $equal(e0,e2) )],[refute_0_143,refute_0_83]) ).
cnf(refute_0_145,plain,
( op(e0,e3) != e0
| e0 = e4 ),
inference(resolve,[$cnf( $equal(e0,e3) )],[refute_0_144,refute_0_85]) ).
cnf(refute_0_146,plain,
op(e0,e3) != e0,
inference(resolve,[$cnf( $equal(e0,e4) )],[refute_0_145,refute_0_53]) ).
cnf(refute_0_147,plain,
( op(e0,e0) = e0
| op(e0,e4) = e0 ),
inference(resolve,[$cnf( $equal(op(e0,e3),e0) )],[refute_0_118,refute_0_146]) ).
cnf(refute_0_148,plain,
op(e0,e4) != op(e1,e4),
inference(canonicalize,[],[normalize_0_34]) ).
cnf(refute_0_149,plain,
op(op(e4,e0),op(e0,e4)) = e0,
inference(canonicalize,[],[normalize_0_35]) ).
cnf(refute_0_150,plain,
( op(e0,e4) = e0
| op(e0,e4) = e1
| op(e0,e4) = e2
| op(e0,e4) = e3
| op(e0,e4) = e4 ),
inference(canonicalize,[],[normalize_0_36]) ).
cnf(refute_0_151,plain,
( op(e0,e4) != e0
| op(op(e4,e0),op(e0,e4)) != e0
| op(op(e4,e0),e0) = e0 ),
introduced(tautology,[equality,[$cnf( $equal(op(op(e4,e0),op(e0,e4)),e0) ),[0,1],$fot(e0)]]) ).
cnf(refute_0_152,plain,
( op(op(e4,e0),op(e0,e4)) != e0
| op(e0,e4) = e1
| op(e0,e4) = e2
| op(e0,e4) = e3
| op(e0,e4) = e4
| op(op(e4,e0),e0) = e0 ),
inference(resolve,[$cnf( $equal(op(e0,e4),e0) )],[refute_0_150,refute_0_151]) ).
cnf(refute_0_153,plain,
( op(e0,e4) = e1
| op(e0,e4) = e2
| op(e0,e4) = e3
| op(e0,e4) = e4
| op(op(e4,e0),e0) = e0 ),
inference(resolve,[$cnf( $equal(op(op(e4,e0),op(e0,e4)),e0) )],[refute_0_149,refute_0_152]) ).
cnf(refute_0_154,plain,
( op(op(e4,e0),e0) != e0
| op(op(e4,e0),e0) != e4
| e4 = e0 ),
introduced(tautology,[equality,[$cnf( $equal(op(op(e4,e0),e0),e0) ),[0],$fot(e4)]]) ).
cnf(refute_0_155,plain,
( op(op(e4,e0),e0) != e0
| e4 = e0 ),
inference(resolve,[$cnf( $equal(op(op(e4,e0),e0),e4) )],[refute_0_40,refute_0_154]) ).
cnf(refute_0_156,plain,
( e4 = e0
| op(e0,e4) = e1
| op(e0,e4) = e2
| op(e0,e4) = e3
| op(e0,e4) = e4 ),
inference(resolve,[$cnf( $equal(op(op(e4,e0),e0),e0) )],[refute_0_153,refute_0_155]) ).
cnf(refute_0_157,plain,
( e4 != e0
| e0 = e4 ),
inference(subst,[],[refute_0_16:[bind(X,$fot(e4)),bind(Y,$fot(e0))]]) ).
cnf(refute_0_158,plain,
e4 != e0,
inference(resolve,[$cnf( $equal(e0,e4) )],[refute_0_157,refute_0_53]) ).
cnf(refute_0_159,plain,
( op(e0,e4) = e1
| op(e0,e4) = e2
| op(e0,e4) = e3
| op(e0,e4) = e4 ),
inference(resolve,[$cnf( $equal(e4,e0) )],[refute_0_156,refute_0_158]) ).
cnf(refute_0_160,plain,
( op(e0,e4) != e1
| op(op(e0,e4),e4) != e0
| op(e1,e4) = e0 ),
introduced(tautology,[equality,[$cnf( $equal(op(op(e0,e4),e4),e0) ),[0,0],$fot(e1)]]) ).
cnf(refute_0_161,plain,
( op(op(e0,e4),e4) != e0
| op(e0,e4) = e2
| op(e0,e4) = e3
| op(e0,e4) = e4
| op(e1,e4) = e0 ),
inference(resolve,[$cnf( $equal(op(e0,e4),e1) )],[refute_0_159,refute_0_160]) ).
cnf(refute_0_162,plain,
( op(e0,e4) = e2
| op(e0,e4) = e3
| op(e0,e4) = e4
| op(e1,e4) = e0 ),
inference(resolve,[$cnf( $equal(op(op(e0,e4),e4),e0) )],[refute_0_49,refute_0_161]) ).
cnf(refute_0_163,plain,
( op(e0,e4) != e0
| op(e1,e4) != e0
| op(e0,e4) = op(e1,e4) ),
introduced(tautology,[equality,[$cnf( ~ $equal(op(e0,e4),op(e1,e4)) ),[1],$fot(e0)]]) ).
cnf(refute_0_164,plain,
( op(e0,e4) != e0
| op(e0,e4) = e2
| op(e0,e4) = e3
| op(e0,e4) = e4
| op(e0,e4) = op(e1,e4) ),
inference(resolve,[$cnf( $equal(op(e1,e4),e0) )],[refute_0_162,refute_0_163]) ).
cnf(refute_0_165,plain,
( op(e0,e4) != e0
| op(e0,e4) = e2
| op(e0,e4) = e3
| op(e0,e4) = e4 ),
inference(resolve,[$cnf( $equal(op(e0,e4),op(e1,e4)) )],[refute_0_164,refute_0_148]) ).
cnf(refute_0_166,plain,
( op(e0,e4) != e0
| op(e0,e4) != e2
| e0 = e2 ),
introduced(tautology,[equality,[$cnf( $equal(op(e0,e4),e2) ),[0],$fot(e0)]]) ).
cnf(refute_0_167,plain,
( op(e0,e4) != e0
| e0 = e2
| op(e0,e4) = e3
| op(e0,e4) = e4 ),
inference(resolve,[$cnf( $equal(op(e0,e4),e2) )],[refute_0_165,refute_0_166]) ).
cnf(refute_0_168,plain,
( op(e0,e4) != e0
| op(e0,e4) != e3
| e0 = e3 ),
introduced(tautology,[equality,[$cnf( $equal(op(e0,e4),e3) ),[0],$fot(e0)]]) ).
cnf(refute_0_169,plain,
( op(e0,e4) != e0
| e0 = e2
| e0 = e3
| op(e0,e4) = e4 ),
inference(resolve,[$cnf( $equal(op(e0,e4),e3) )],[refute_0_167,refute_0_168]) ).
cnf(refute_0_170,plain,
( op(e0,e4) != e0
| op(e0,e4) != e4
| e0 = e4 ),
introduced(tautology,[equality,[$cnf( $equal(op(e0,e4),e4) ),[0],$fot(e0)]]) ).
cnf(refute_0_171,plain,
( op(e0,e4) != e0
| e0 = e2
| e0 = e3
| e0 = e4 ),
inference(resolve,[$cnf( $equal(op(e0,e4),e4) )],[refute_0_169,refute_0_170]) ).
cnf(refute_0_172,plain,
( op(e0,e4) != e0
| e0 = e3
| e0 = e4 ),
inference(resolve,[$cnf( $equal(e0,e2) )],[refute_0_171,refute_0_83]) ).
cnf(refute_0_173,plain,
( op(e0,e4) != e0
| e0 = e4 ),
inference(resolve,[$cnf( $equal(e0,e3) )],[refute_0_172,refute_0_85]) ).
cnf(refute_0_174,plain,
op(e0,e4) != e0,
inference(resolve,[$cnf( $equal(e0,e4) )],[refute_0_173,refute_0_53]) ).
cnf(refute_0_175,plain,
op(e0,e0) = e0,
inference(resolve,[$cnf( $equal(op(e0,e4),e0) )],[refute_0_147,refute_0_174]) ).
cnf(refute_0_176,plain,
( op(e0,e0) != e0
| op(e0,e0) != e4
| e0 = e4 ),
introduced(tautology,[equality,[$cnf( $equal(op(e0,e0),e4) ),[0],$fot(e0)]]) ).
cnf(refute_0_177,plain,
( op(e0,e0) != e4
| e0 = e4 ),
inference(resolve,[$cnf( $equal(op(e0,e0),e0) )],[refute_0_175,refute_0_176]) ).
cnf(refute_0_178,plain,
( e0 = e4
| op(e4,e0) = e1
| op(e4,e0) = e2
| op(e4,e0) = e3 ),
inference(resolve,[$cnf( $equal(op(e0,e0),e4) )],[refute_0_54,refute_0_177]) ).
cnf(refute_0_179,plain,
( op(e4,e0) = e1
| op(e4,e0) = e2
| op(e4,e0) = e3 ),
inference(resolve,[$cnf( $equal(e0,e4) )],[refute_0_178,refute_0_53]) ).
cnf(refute_0_180,plain,
( op(e4,e0) != e1
| op(op(e4,e0),e0) != e4
| op(e1,e0) = e4 ),
introduced(tautology,[equality,[$cnf( $equal(op(op(e4,e0),e0),e4) ),[0,0],$fot(e1)]]) ).
cnf(refute_0_181,plain,
( op(op(e4,e0),e0) != e4
| op(e1,e0) = e4
| op(e4,e0) = e2
| op(e4,e0) = e3 ),
inference(resolve,[$cnf( $equal(op(e4,e0),e1) )],[refute_0_179,refute_0_180]) ).
cnf(refute_0_182,plain,
( op(e1,e0) = e4
| op(e4,e0) = e2
| op(e4,e0) = e3 ),
inference(resolve,[$cnf( $equal(op(op(e4,e0),e0),e4) )],[refute_0_40,refute_0_181]) ).
cnf(refute_0_183,plain,
( op(e4,e0) != e3
| op(op(e4,e0),e0) != e4
| op(e3,e0) = e4 ),
introduced(tautology,[equality,[$cnf( $equal(op(op(e4,e0),e0),e4) ),[0,0],$fot(e3)]]) ).
cnf(refute_0_184,plain,
( op(op(e4,e0),e0) != e4
| op(e1,e0) = e4
| op(e3,e0) = e4
| op(e4,e0) = e2 ),
inference(resolve,[$cnf( $equal(op(e4,e0),e3) )],[refute_0_182,refute_0_183]) ).
cnf(refute_0_185,plain,
( op(e1,e0) = e4
| op(e3,e0) = e4
| op(e4,e0) = e2 ),
inference(resolve,[$cnf( $equal(op(op(e4,e0),e0),e4) )],[refute_0_40,refute_0_184]) ).
cnf(refute_0_186,plain,
( op(e3,e0) != e2
| op(e4,e0) != e2
| op(e3,e0) = op(e4,e0) ),
introduced(tautology,[equality,[$cnf( ~ $equal(op(e3,e0),op(e4,e0)) ),[1],$fot(e2)]]) ).
cnf(refute_0_187,plain,
( op(e3,e0) != e2
| op(e1,e0) = e4
| op(e3,e0) = e4
| op(e3,e0) = op(e4,e0) ),
inference(resolve,[$cnf( $equal(op(e4,e0),e2) )],[refute_0_185,refute_0_186]) ).
cnf(refute_0_188,plain,
( op(e3,e0) != e2
| op(e1,e0) = e4
| op(e3,e0) = e4 ),
inference(resolve,[$cnf( $equal(op(e3,e0),op(e4,e0)) )],[refute_0_187,refute_0_39]) ).
cnf(refute_0_189,plain,
( op(e3,e0) != e2
| op(e3,e0) != e4
| e2 = e4 ),
introduced(tautology,[equality,[$cnf( $equal(op(e3,e0),e4) ),[0],$fot(e2)]]) ).
cnf(refute_0_190,plain,
( op(e3,e0) != e2
| e2 = e4
| op(e1,e0) = e4 ),
inference(resolve,[$cnf( $equal(op(e3,e0),e4) )],[refute_0_188,refute_0_189]) ).
cnf(refute_0_191,plain,
e2 != e4,
inference(canonicalize,[],[normalize_0_37]) ).
cnf(refute_0_192,plain,
( op(e3,e0) != e2
| op(e1,e0) = e4 ),
inference(resolve,[$cnf( $equal(e2,e4) )],[refute_0_190,refute_0_191]) ).
cnf(refute_0_193,plain,
op(op(e0,e3),op(e3,e0)) = e3,
inference(canonicalize,[],[normalize_0_38]) ).
cnf(refute_0_194,plain,
( op(e3,e0) = e0
| op(e3,e0) = e1
| op(e3,e0) = e2
| op(e3,e0) = e3
| op(e3,e0) = e4 ),
inference(canonicalize,[],[normalize_0_39]) ).
cnf(refute_0_195,plain,
( op(e3,e0) != e0
| op(op(e3,e0),e0) != e3
| op(e0,e0) = e3 ),
introduced(tautology,[equality,[$cnf( $equal(op(op(e3,e0),e0),e3) ),[0,0],$fot(e0)]]) ).
cnf(refute_0_196,plain,
( op(op(e3,e0),e0) != e3
| op(e0,e0) = e3
| op(e3,e0) = e1
| op(e3,e0) = e2
| op(e3,e0) = e3
| op(e3,e0) = e4 ),
inference(resolve,[$cnf( $equal(op(e3,e0),e0) )],[refute_0_194,refute_0_195]) ).
cnf(refute_0_197,plain,
( op(e0,e0) = e3
| op(e3,e0) = e1
| op(e3,e0) = e2
| op(e3,e0) = e3
| op(e3,e0) = e4 ),
inference(resolve,[$cnf( $equal(op(op(e3,e0),e0),e3) )],[refute_0_38,refute_0_196]) ).
cnf(refute_0_198,plain,
( op(e3,e0) != e3
| op(op(e0,e3),op(e3,e0)) != e3
| op(op(e0,e3),e3) = e3 ),
introduced(tautology,[equality,[$cnf( $equal(op(op(e0,e3),op(e3,e0)),e3) ),[0,1],$fot(e3)]]) ).
cnf(refute_0_199,plain,
( op(op(e0,e3),op(e3,e0)) != e3
| op(e0,e0) = e3
| op(e3,e0) = e1
| op(e3,e0) = e2
| op(e3,e0) = e4
| op(op(e0,e3),e3) = e3 ),
inference(resolve,[$cnf( $equal(op(e3,e0),e3) )],[refute_0_197,refute_0_198]) ).
cnf(refute_0_200,plain,
( op(e0,e0) = e3
| op(e3,e0) = e1
| op(e3,e0) = e2
| op(e3,e0) = e4
| op(op(e0,e3),e3) = e3 ),
inference(resolve,[$cnf( $equal(op(op(e0,e3),op(e3,e0)),e3) )],[refute_0_193,refute_0_199]) ).
cnf(refute_0_201,plain,
( op(op(e0,e3),e3) != e0
| op(op(e0,e3),e3) != e3
| e0 = e3 ),
introduced(tautology,[equality,[$cnf( $equal(op(op(e0,e3),e3),e3) ),[0],$fot(e0)]]) ).
cnf(refute_0_202,plain,
( op(op(e0,e3),e3) != e3
| e0 = e3 ),
inference(resolve,[$cnf( $equal(op(op(e0,e3),e3),e0) )],[refute_0_120,refute_0_201]) ).
cnf(refute_0_203,plain,
( e0 = e3
| op(e0,e0) = e3
| op(e3,e0) = e1
| op(e3,e0) = e2
| op(e3,e0) = e4 ),
inference(resolve,[$cnf( $equal(op(op(e0,e3),e3),e3) )],[refute_0_200,refute_0_202]) ).
cnf(refute_0_204,plain,
( op(e0,e0) = e3
| op(e3,e0) = e1
| op(e3,e0) = e2
| op(e3,e0) = e4 ),
inference(resolve,[$cnf( $equal(e0,e3) )],[refute_0_203,refute_0_85]) ).
cnf(refute_0_205,plain,
( op(e0,e0) != e0
| op(e0,e0) != e3
| e0 = e3 ),
introduced(tautology,[equality,[$cnf( $equal(op(e0,e0),e3) ),[0],$fot(e0)]]) ).
cnf(refute_0_206,plain,
( op(e0,e0) != e3
| e0 = e3 ),
inference(resolve,[$cnf( $equal(op(e0,e0),e0) )],[refute_0_175,refute_0_205]) ).
cnf(refute_0_207,plain,
( e0 = e3
| op(e3,e0) = e1
| op(e3,e0) = e2
| op(e3,e0) = e4 ),
inference(resolve,[$cnf( $equal(op(e0,e0),e3) )],[refute_0_204,refute_0_206]) ).
cnf(refute_0_208,plain,
( op(e3,e0) = e1
| op(e3,e0) = e2
| op(e3,e0) = e4 ),
inference(resolve,[$cnf( $equal(e0,e3) )],[refute_0_207,refute_0_85]) ).
cnf(refute_0_209,plain,
( e2 != e2
| op(e3,e0) != e2
| op(e3,e0) = e2 ),
introduced(tautology,[equality,[$cnf( $equal(op(e3,e0),e2) ),[1],$fot(e2)]]) ).
cnf(refute_0_210,plain,
( e2 != e2
| op(e3,e0) = e1
| op(e3,e0) = e2
| op(e3,e0) = e4 ),
inference(resolve,[$cnf( $equal(op(e3,e0),e2) )],[refute_0_208,refute_0_209]) ).
cnf(refute_0_211,plain,
( e2 != e2
| op(e1,e0) = e4
| op(e3,e0) = e1
| op(e3,e0) = e4 ),
inference(resolve,[$cnf( $equal(op(e3,e0),e2) )],[refute_0_210,refute_0_192]) ).
cnf(refute_0_212,plain,
e2 = e2,
introduced(tautology,[refl,[$fot(e2)]]) ).
cnf(refute_0_213,plain,
( op(e1,e0) = e4
| op(e3,e0) = e1
| op(e3,e0) = e4 ),
inference(resolve,[$cnf( $equal(e2,e2) )],[refute_0_212,refute_0_211]) ).
cnf(refute_0_214,plain,
( op(e3,e0) != e4
| op(op(e3,e0),e0) != e3
| op(e4,e0) = e3 ),
introduced(tautology,[equality,[$cnf( $equal(op(op(e3,e0),e0),e3) ),[0,0],$fot(e4)]]) ).
cnf(refute_0_215,plain,
( op(op(e3,e0),e0) != e3
| op(e1,e0) = e4
| op(e3,e0) = e1
| op(e4,e0) = e3 ),
inference(resolve,[$cnf( $equal(op(e3,e0),e4) )],[refute_0_213,refute_0_214]) ).
cnf(refute_0_216,plain,
( op(e1,e0) = e4
| op(e3,e0) = e1
| op(e4,e0) = e3 ),
inference(resolve,[$cnf( $equal(op(op(e3,e0),e0),e3) )],[refute_0_38,refute_0_215]) ).
cnf(refute_0_217,plain,
( e3 != op(e4,e1)
| op(e4,e0) != e3
| op(e4,e0) = op(e4,e1) ),
introduced(tautology,[equality,[$cnf( $equal(op(e4,e0),e3) ),[1],$fot(op(e4,e1))]]) ).
cnf(refute_0_218,plain,
( e3 != op(e4,e1)
| op(e1,e0) = e4
| op(e3,e0) = e1
| op(e4,e0) = op(e4,e1) ),
inference(resolve,[$cnf( $equal(op(e4,e0),e3) )],[refute_0_216,refute_0_217]) ).
cnf(refute_0_219,plain,
( e3 != op(e4,e1)
| op(e1,e0) = e4
| op(e3,e0) = e1 ),
inference(resolve,[$cnf( $equal(op(e4,e0),op(e4,e1)) )],[refute_0_218,refute_0_37]) ).
cnf(refute_0_220,plain,
op(e0,e1) != op(e4,e1),
inference(canonicalize,[],[normalize_0_40]) ).
cnf(refute_0_221,plain,
op(op(e4,e1),e1) = e4,
inference(canonicalize,[],[normalize_0_41]) ).
cnf(refute_0_222,plain,
op(op(e1,e4),op(e4,e1)) = e4,
inference(canonicalize,[],[normalize_0_42]) ).
cnf(refute_0_223,plain,
op(e1,e1) != op(e4,e1),
inference(canonicalize,[],[normalize_0_43]) ).
cnf(refute_0_224,plain,
op(op(e2,e1),op(e1,e2)) = e1,
inference(canonicalize,[],[normalize_0_44]) ).
cnf(refute_0_225,plain,
op(op(e3,e1),op(e1,e3)) = e1,
inference(canonicalize,[],[normalize_0_45]) ).
cnf(refute_0_226,plain,
op(op(e4,e1),op(e1,e4)) = e1,
inference(canonicalize,[],[normalize_0_46]) ).
cnf(refute_0_227,plain,
( op(e1,e0) = e1
| op(e1,e1) = e1
| op(e1,e2) = e1
| op(e1,e3) = e1
| op(e1,e4) = e1 ),
inference(canonicalize,[],[normalize_0_47]) ).
cnf(refute_0_228,plain,
op(e1,e0) != op(e2,e0),
inference(canonicalize,[],[normalize_0_48]) ).
cnf(refute_0_229,plain,
op(op(e0,e1),op(e1,e0)) = e1,
inference(canonicalize,[],[normalize_0_49]) ).
cnf(refute_0_230,plain,
( op(e1,e0) = e0
| op(e1,e0) = e1
| op(e1,e0) = e2
| op(e1,e0) = e3
| op(e1,e0) = e4 ),
inference(canonicalize,[],[normalize_0_50]) ).
cnf(refute_0_231,plain,
( op(e1,e0) != e0
| op(op(e1,e0),e0) != e1
| op(e0,e0) = e1 ),
introduced(tautology,[equality,[$cnf( $equal(op(op(e1,e0),e0),e1) ),[0,0],$fot(e0)]]) ).
cnf(refute_0_232,plain,
( op(op(e1,e0),e0) != e1
| op(e0,e0) = e1
| op(e1,e0) = e1
| op(e1,e0) = e2
| op(e1,e0) = e3
| op(e1,e0) = e4 ),
inference(resolve,[$cnf( $equal(op(e1,e0),e0) )],[refute_0_230,refute_0_231]) ).
cnf(refute_0_233,plain,
( op(e0,e0) = e1
| op(e1,e0) = e1
| op(e1,e0) = e2
| op(e1,e0) = e3
| op(e1,e0) = e4 ),
inference(resolve,[$cnf( $equal(op(op(e1,e0),e0),e1) )],[refute_0_63,refute_0_232]) ).
cnf(refute_0_234,plain,
( op(e1,e0) != e1
| op(op(e0,e1),op(e1,e0)) != e1
| op(op(e0,e1),e1) = e1 ),
introduced(tautology,[equality,[$cnf( $equal(op(op(e0,e1),op(e1,e0)),e1) ),[0,1],$fot(e1)]]) ).
cnf(refute_0_235,plain,
( op(op(e0,e1),op(e1,e0)) != e1
| op(e0,e0) = e1
| op(e1,e0) = e2
| op(e1,e0) = e3
| op(e1,e0) = e4
| op(op(e0,e1),e1) = e1 ),
inference(resolve,[$cnf( $equal(op(e1,e0),e1) )],[refute_0_233,refute_0_234]) ).
cnf(refute_0_236,plain,
( op(e0,e0) = e1
| op(e1,e0) = e2
| op(e1,e0) = e3
| op(e1,e0) = e4
| op(op(e0,e1),e1) = e1 ),
inference(resolve,[$cnf( $equal(op(op(e0,e1),op(e1,e0)),e1) )],[refute_0_229,refute_0_235]) ).
cnf(refute_0_237,plain,
( op(op(e0,e1),e1) != e0
| op(op(e0,e1),e1) != e1
| e0 = e1 ),
introduced(tautology,[equality,[$cnf( $equal(op(op(e0,e1),e1),e1) ),[0],$fot(e0)]]) ).
cnf(refute_0_238,plain,
( op(op(e0,e1),e1) != e1
| e0 = e1 ),
inference(resolve,[$cnf( $equal(op(op(e0,e1),e1),e0) )],[refute_0_57,refute_0_237]) ).
cnf(refute_0_239,plain,
( e0 = e1
| op(e0,e0) = e1
| op(e1,e0) = e2
| op(e1,e0) = e3
| op(e1,e0) = e4 ),
inference(resolve,[$cnf( $equal(op(op(e0,e1),e1),e1) )],[refute_0_236,refute_0_238]) ).
cnf(refute_0_240,plain,
( op(e0,e0) = e1
| op(e1,e0) = e2
| op(e1,e0) = e3
| op(e1,e0) = e4 ),
inference(resolve,[$cnf( $equal(e0,e1) )],[refute_0_239,refute_0_67]) ).
cnf(refute_0_241,plain,
( op(e1,e0) != e2
| op(op(e1,e0),e0) != e1
| op(e2,e0) = e1 ),
introduced(tautology,[equality,[$cnf( $equal(op(op(e1,e0),e0),e1) ),[0,0],$fot(e2)]]) ).
cnf(refute_0_242,plain,
( op(op(e1,e0),e0) != e1
| op(e0,e0) = e1
| op(e1,e0) = e3
| op(e1,e0) = e4
| op(e2,e0) = e1 ),
inference(resolve,[$cnf( $equal(op(e1,e0),e2) )],[refute_0_240,refute_0_241]) ).
cnf(refute_0_243,plain,
( op(e0,e0) = e1
| op(e1,e0) = e3
| op(e1,e0) = e4
| op(e2,e0) = e1 ),
inference(resolve,[$cnf( $equal(op(op(e1,e0),e0),e1) )],[refute_0_63,refute_0_242]) ).
cnf(refute_0_244,plain,
( op(e1,e0) != e1
| op(e2,e0) != e1
| op(e1,e0) = op(e2,e0) ),
introduced(tautology,[equality,[$cnf( ~ $equal(op(e1,e0),op(e2,e0)) ),[1],$fot(e1)]]) ).
cnf(refute_0_245,plain,
( op(e1,e0) != e1
| op(e0,e0) = e1
| op(e1,e0) = e3
| op(e1,e0) = e4
| op(e1,e0) = op(e2,e0) ),
inference(resolve,[$cnf( $equal(op(e2,e0),e1) )],[refute_0_243,refute_0_244]) ).
cnf(refute_0_246,plain,
( op(e1,e0) != e1
| op(e0,e0) = e1
| op(e1,e0) = e3
| op(e1,e0) = e4 ),
inference(resolve,[$cnf( $equal(op(e1,e0),op(e2,e0)) )],[refute_0_245,refute_0_228]) ).
cnf(refute_0_247,plain,
( op(e1,e0) != e1
| op(e1,e0) != e3
| e1 = e3 ),
introduced(tautology,[equality,[$cnf( $equal(op(e1,e0),e3) ),[0],$fot(e1)]]) ).
cnf(refute_0_248,plain,
( op(e1,e0) != e1
| e1 = e3
| op(e0,e0) = e1
| op(e1,e0) = e4 ),
inference(resolve,[$cnf( $equal(op(e1,e0),e3) )],[refute_0_246,refute_0_247]) ).
cnf(refute_0_249,plain,
( op(e1,e0) != e1
| op(e1,e0) != e4
| e1 = e4 ),
introduced(tautology,[equality,[$cnf( $equal(op(e1,e0),e4) ),[0],$fot(e1)]]) ).
cnf(refute_0_250,plain,
( op(e1,e0) != e1
| e1 = e3
| e1 = e4
| op(e0,e0) = e1 ),
inference(resolve,[$cnf( $equal(op(e1,e0),e4) )],[refute_0_248,refute_0_249]) ).
cnf(refute_0_251,plain,
e1 != e3,
inference(canonicalize,[],[normalize_0_51]) ).
cnf(refute_0_252,plain,
( op(e1,e0) != e1
| e1 = e4
| op(e0,e0) = e1 ),
inference(resolve,[$cnf( $equal(e1,e3) )],[refute_0_250,refute_0_251]) ).
cnf(refute_0_253,plain,
e1 != e4,
inference(canonicalize,[],[normalize_0_52]) ).
cnf(refute_0_254,plain,
( op(e1,e0) != e1
| op(e0,e0) = e1 ),
inference(resolve,[$cnf( $equal(e1,e4) )],[refute_0_252,refute_0_253]) ).
cnf(refute_0_255,plain,
( op(e0,e0) != e0
| op(e0,e0) != e1
| e0 = e1 ),
introduced(tautology,[equality,[$cnf( $equal(op(e0,e0),e1) ),[0],$fot(e0)]]) ).
cnf(refute_0_256,plain,
( op(e0,e0) != e1
| e0 = e1 ),
inference(resolve,[$cnf( $equal(op(e0,e0),e0) )],[refute_0_175,refute_0_255]) ).
cnf(refute_0_257,plain,
( op(e1,e0) != e1
| e0 = e1 ),
inference(resolve,[$cnf( $equal(op(e0,e0),e1) )],[refute_0_254,refute_0_256]) ).
cnf(refute_0_258,plain,
op(e1,e0) != e1,
inference(resolve,[$cnf( $equal(e0,e1) )],[refute_0_257,refute_0_67]) ).
cnf(refute_0_259,plain,
( op(e1,e1) = e1
| op(e1,e2) = e1
| op(e1,e3) = e1
| op(e1,e4) = e1 ),
inference(resolve,[$cnf( $equal(op(e1,e0),e1) )],[refute_0_227,refute_0_258]) ).
cnf(refute_0_260,plain,
( op(e1,e4) != e1
| op(op(e4,e1),op(e1,e4)) != e1
| op(op(e4,e1),e1) = e1 ),
introduced(tautology,[equality,[$cnf( $equal(op(op(e4,e1),op(e1,e4)),e1) ),[0,1],$fot(e1)]]) ).
cnf(refute_0_261,plain,
( op(op(e4,e1),op(e1,e4)) != e1
| op(e1,e1) = e1
| op(e1,e2) = e1
| op(e1,e3) = e1
| op(op(e4,e1),e1) = e1 ),
inference(resolve,[$cnf( $equal(op(e1,e4),e1) )],[refute_0_259,refute_0_260]) ).
cnf(refute_0_262,plain,
( op(e1,e1) = e1
| op(e1,e2) = e1
| op(e1,e3) = e1
| op(op(e4,e1),e1) = e1 ),
inference(resolve,[$cnf( $equal(op(op(e4,e1),op(e1,e4)),e1) )],[refute_0_226,refute_0_261]) ).
cnf(refute_0_263,plain,
( op(op(e4,e1),e1) != e1
| op(op(e4,e1),e1) != e4
| e4 = e1 ),
introduced(tautology,[equality,[$cnf( $equal(op(op(e4,e1),e1),e1) ),[0],$fot(e4)]]) ).
cnf(refute_0_264,plain,
( op(op(e4,e1),e1) != e1
| e4 = e1 ),
inference(resolve,[$cnf( $equal(op(op(e4,e1),e1),e4) )],[refute_0_221,refute_0_263]) ).
cnf(refute_0_265,plain,
( e4 = e1
| op(e1,e1) = e1
| op(e1,e2) = e1
| op(e1,e3) = e1 ),
inference(resolve,[$cnf( $equal(op(op(e4,e1),e1),e1) )],[refute_0_262,refute_0_264]) ).
cnf(refute_0_266,plain,
( e4 != e1
| e1 = e4 ),
inference(subst,[],[refute_0_16:[bind(X,$fot(e4)),bind(Y,$fot(e1))]]) ).
cnf(refute_0_267,plain,
e4 != e1,
inference(resolve,[$cnf( $equal(e1,e4) )],[refute_0_266,refute_0_253]) ).
cnf(refute_0_268,plain,
( op(e1,e1) = e1
| op(e1,e2) = e1
| op(e1,e3) = e1 ),
inference(resolve,[$cnf( $equal(e4,e1) )],[refute_0_265,refute_0_267]) ).
cnf(refute_0_269,plain,
( op(e1,e3) != e1
| op(op(e3,e1),op(e1,e3)) != e1
| op(op(e3,e1),e1) = e1 ),
introduced(tautology,[equality,[$cnf( $equal(op(op(e3,e1),op(e1,e3)),e1) ),[0,1],$fot(e1)]]) ).
cnf(refute_0_270,plain,
( op(op(e3,e1),op(e1,e3)) != e1
| op(e1,e1) = e1
| op(e1,e2) = e1
| op(op(e3,e1),e1) = e1 ),
inference(resolve,[$cnf( $equal(op(e1,e3),e1) )],[refute_0_268,refute_0_269]) ).
cnf(refute_0_271,plain,
( op(e1,e1) = e1
| op(e1,e2) = e1
| op(op(e3,e1),e1) = e1 ),
inference(resolve,[$cnf( $equal(op(op(e3,e1),op(e1,e3)),e1) )],[refute_0_225,refute_0_270]) ).
cnf(refute_0_272,plain,
op(op(e3,e1),e1) = e3,
inference(canonicalize,[],[normalize_0_53]) ).
cnf(refute_0_273,plain,
( op(op(e3,e1),e1) != e1
| op(op(e3,e1),e1) != e3
| e3 = e1 ),
introduced(tautology,[equality,[$cnf( $equal(op(op(e3,e1),e1),e1) ),[0],$fot(e3)]]) ).
cnf(refute_0_274,plain,
( op(op(e3,e1),e1) != e1
| e3 = e1 ),
inference(resolve,[$cnf( $equal(op(op(e3,e1),e1),e3) )],[refute_0_272,refute_0_273]) ).
cnf(refute_0_275,plain,
( e3 = e1
| op(e1,e1) = e1
| op(e1,e2) = e1 ),
inference(resolve,[$cnf( $equal(op(op(e3,e1),e1),e1) )],[refute_0_271,refute_0_274]) ).
cnf(refute_0_276,plain,
( e3 != e1
| e1 = e3 ),
inference(subst,[],[refute_0_16:[bind(X,$fot(e3)),bind(Y,$fot(e1))]]) ).
cnf(refute_0_277,plain,
e3 != e1,
inference(resolve,[$cnf( $equal(e1,e3) )],[refute_0_276,refute_0_251]) ).
cnf(refute_0_278,plain,
( op(e1,e1) = e1
| op(e1,e2) = e1 ),
inference(resolve,[$cnf( $equal(e3,e1) )],[refute_0_275,refute_0_277]) ).
cnf(refute_0_279,plain,
( op(e1,e2) != e1
| op(op(e2,e1),op(e1,e2)) != e1
| op(op(e2,e1),e1) = e1 ),
introduced(tautology,[equality,[$cnf( $equal(op(op(e2,e1),op(e1,e2)),e1) ),[0,1],$fot(e1)]]) ).
cnf(refute_0_280,plain,
( op(op(e2,e1),op(e1,e2)) != e1
| op(e1,e1) = e1
| op(op(e2,e1),e1) = e1 ),
inference(resolve,[$cnf( $equal(op(e1,e2),e1) )],[refute_0_278,refute_0_279]) ).
cnf(refute_0_281,plain,
( op(e1,e1) = e1
| op(op(e2,e1),e1) = e1 ),
inference(resolve,[$cnf( $equal(op(op(e2,e1),op(e1,e2)),e1) )],[refute_0_224,refute_0_280]) ).
cnf(refute_0_282,plain,
op(op(e2,e1),e1) = e2,
inference(canonicalize,[],[normalize_0_54]) ).
cnf(refute_0_283,plain,
( op(op(e2,e1),e1) != e1
| op(op(e2,e1),e1) != e2
| e2 = e1 ),
introduced(tautology,[equality,[$cnf( $equal(op(op(e2,e1),e1),e1) ),[0],$fot(e2)]]) ).
cnf(refute_0_284,plain,
( op(op(e2,e1),e1) != e1
| e2 = e1 ),
inference(resolve,[$cnf( $equal(op(op(e2,e1),e1),e2) )],[refute_0_282,refute_0_283]) ).
cnf(refute_0_285,plain,
( e2 = e1
| op(e1,e1) = e1 ),
inference(resolve,[$cnf( $equal(op(op(e2,e1),e1),e1) )],[refute_0_281,refute_0_284]) ).
cnf(refute_0_286,plain,
e1 != e2,
inference(canonicalize,[],[normalize_0_55]) ).
cnf(refute_0_287,plain,
( e2 != e1
| e1 = e2 ),
inference(subst,[],[refute_0_16:[bind(X,$fot(e2)),bind(Y,$fot(e1))]]) ).
cnf(refute_0_288,plain,
e2 != e1,
inference(resolve,[$cnf( $equal(e1,e2) )],[refute_0_287,refute_0_286]) ).
cnf(refute_0_289,plain,
op(e1,e1) = e1,
inference(resolve,[$cnf( $equal(e2,e1) )],[refute_0_285,refute_0_288]) ).
cnf(refute_0_290,plain,
( e1 != op(e4,e1)
| op(e1,e1) != e1
| op(e1,e1) = op(e4,e1) ),
introduced(tautology,[equality,[$cnf( $equal(op(e1,e1),e1) ),[1],$fot(op(e4,e1))]]) ).
cnf(refute_0_291,plain,
( e1 != op(e4,e1)
| op(e1,e1) = op(e4,e1) ),
inference(resolve,[$cnf( $equal(op(e1,e1),e1) )],[refute_0_289,refute_0_290]) ).
cnf(refute_0_292,plain,
e1 != op(e4,e1),
inference(resolve,[$cnf( $equal(op(e1,e1),op(e4,e1)) )],[refute_0_291,refute_0_223]) ).
cnf(refute_0_293,plain,
( op(e4,e1) = e0
| op(e4,e1) = e1
| op(e4,e1) = e2
| op(e4,e1) = e3
| op(e4,e1) = e4 ),
inference(canonicalize,[],[normalize_0_56]) ).
cnf(refute_0_294,plain,
( e1 != e1
| op(e4,e1) != e1
| e1 = op(e4,e1) ),
introduced(tautology,[equality,[$cnf( ~ $equal(e1,op(e4,e1)) ),[1],$fot(e1)]]) ).
cnf(refute_0_295,plain,
( e1 != e1
| e1 = op(e4,e1)
| op(e4,e1) = e0
| op(e4,e1) = e2
| op(e4,e1) = e3
| op(e4,e1) = e4 ),
inference(resolve,[$cnf( $equal(op(e4,e1),e1) )],[refute_0_293,refute_0_294]) ).
cnf(refute_0_296,plain,
( e1 != e1
| op(e4,e1) = e0
| op(e4,e1) = e2
| op(e4,e1) = e3
| op(e4,e1) = e4 ),
inference(resolve,[$cnf( $equal(e1,op(e4,e1)) )],[refute_0_295,refute_0_292]) ).
cnf(refute_0_297,plain,
e1 = e1,
introduced(tautology,[refl,[$fot(e1)]]) ).
cnf(refute_0_298,plain,
( op(e4,e1) = e0
| op(e4,e1) = e2
| op(e4,e1) = e3
| op(e4,e1) = e4 ),
inference(resolve,[$cnf( $equal(e1,e1) )],[refute_0_297,refute_0_296]) ).
cnf(refute_0_299,plain,
( op(e4,e1) != e4
| op(op(e1,e4),op(e4,e1)) != e4
| op(op(e1,e4),e4) = e4 ),
introduced(tautology,[equality,[$cnf( $equal(op(op(e1,e4),op(e4,e1)),e4) ),[0,1],$fot(e4)]]) ).
cnf(refute_0_300,plain,
( op(op(e1,e4),op(e4,e1)) != e4
| op(e4,e1) = e0
| op(e4,e1) = e2
| op(e4,e1) = e3
| op(op(e1,e4),e4) = e4 ),
inference(resolve,[$cnf( $equal(op(e4,e1),e4) )],[refute_0_298,refute_0_299]) ).
cnf(refute_0_301,plain,
( op(e4,e1) = e0
| op(e4,e1) = e2
| op(e4,e1) = e3
| op(op(e1,e4),e4) = e4 ),
inference(resolve,[$cnf( $equal(op(op(e1,e4),op(e4,e1)),e4) )],[refute_0_222,refute_0_300]) ).
cnf(refute_0_302,plain,
op(op(e1,e4),e4) = e1,
inference(canonicalize,[],[normalize_0_57]) ).
cnf(refute_0_303,plain,
( op(op(e1,e4),e4) != e1
| op(op(e1,e4),e4) != e4
| e1 = e4 ),
introduced(tautology,[equality,[$cnf( $equal(op(op(e1,e4),e4),e4) ),[0],$fot(e1)]]) ).
cnf(refute_0_304,plain,
( op(op(e1,e4),e4) != e4
| e1 = e4 ),
inference(resolve,[$cnf( $equal(op(op(e1,e4),e4),e1) )],[refute_0_302,refute_0_303]) ).
cnf(refute_0_305,plain,
( e1 = e4
| op(e4,e1) = e0
| op(e4,e1) = e2
| op(e4,e1) = e3 ),
inference(resolve,[$cnf( $equal(op(op(e1,e4),e4),e4) )],[refute_0_301,refute_0_304]) ).
cnf(refute_0_306,plain,
( op(e4,e1) = e0
| op(e4,e1) = e2
| op(e4,e1) = e3 ),
inference(resolve,[$cnf( $equal(e1,e4) )],[refute_0_305,refute_0_253]) ).
cnf(refute_0_307,plain,
( op(e4,e1) != e0
| op(op(e4,e1),e1) != e4
| op(e0,e1) = e4 ),
introduced(tautology,[equality,[$cnf( $equal(op(op(e4,e1),e1),e4) ),[0,0],$fot(e0)]]) ).
cnf(refute_0_308,plain,
( op(op(e4,e1),e1) != e4
| op(e0,e1) = e4
| op(e4,e1) = e2
| op(e4,e1) = e3 ),
inference(resolve,[$cnf( $equal(op(e4,e1),e0) )],[refute_0_306,refute_0_307]) ).
cnf(refute_0_309,plain,
( op(e0,e1) = e4
| op(e4,e1) = e2
| op(e4,e1) = e3 ),
inference(resolve,[$cnf( $equal(op(op(e4,e1),e1),e4) )],[refute_0_221,refute_0_308]) ).
cnf(refute_0_310,plain,
( op(e0,e1) != e2
| op(e4,e1) != e2
| op(e0,e1) = op(e4,e1) ),
introduced(tautology,[equality,[$cnf( ~ $equal(op(e0,e1),op(e4,e1)) ),[1],$fot(e2)]]) ).
cnf(refute_0_311,plain,
( op(e0,e1) != e2
| op(e0,e1) = e4
| op(e0,e1) = op(e4,e1)
| op(e4,e1) = e3 ),
inference(resolve,[$cnf( $equal(op(e4,e1),e2) )],[refute_0_309,refute_0_310]) ).
cnf(refute_0_312,plain,
( op(e0,e1) != e2
| op(e0,e1) = e4
| op(e4,e1) = e3 ),
inference(resolve,[$cnf( $equal(op(e0,e1),op(e4,e1)) )],[refute_0_311,refute_0_220]) ).
cnf(refute_0_313,plain,
( op(e0,e1) != e2
| op(e0,e1) != e4
| e2 = e4 ),
introduced(tautology,[equality,[$cnf( $equal(op(e0,e1),e4) ),[0],$fot(e2)]]) ).
cnf(refute_0_314,plain,
( op(e0,e1) != e2
| e2 = e4
| op(e4,e1) = e3 ),
inference(resolve,[$cnf( $equal(op(e0,e1),e4) )],[refute_0_312,refute_0_313]) ).
cnf(refute_0_315,plain,
( op(e0,e1) != e2
| op(e4,e1) = e3 ),
inference(resolve,[$cnf( $equal(e2,e4) )],[refute_0_314,refute_0_191]) ).
cnf(refute_0_316,plain,
( e0 != op(e4,e2)
| e1 != op(e2,op(e4,e2))
| e3 != op(op(e4,e2),op(e2,op(e4,e2))) ),
inference(canonicalize,[],[normalize_0_58]) ).
cnf(refute_0_317,plain,
( e1 != e1
| e1 != op(e2,op(e4,e2))
| op(e2,op(e4,e2)) = e1 ),
introduced(tautology,[equality,[$cnf( $equal(e1,e1) ),[0],$fot(op(e2,op(e4,e2)))]]) ).
cnf(refute_0_318,plain,
( e1 != op(e2,op(e4,e2))
| op(e2,op(e4,e2)) = e1 ),
inference(resolve,[$cnf( $equal(e1,e1) )],[refute_0_297,refute_0_317]) ).
cnf(refute_0_319,plain,
op(e0,op(e2,op(e4,e2))) = op(e0,op(e2,op(e4,e2))),
introduced(tautology,[refl,[$fot(op(e0,op(e2,op(e4,e2))))]]) ).
cnf(refute_0_320,plain,
( op(e0,op(e2,op(e4,e2))) != op(e0,op(e2,op(e4,e2)))
| op(e2,op(e4,e2)) != e1
| op(e0,op(e2,op(e4,e2))) = op(e0,e1) ),
introduced(tautology,[equality,[$cnf( $equal(op(e0,op(e2,op(e4,e2))),op(e0,op(e2,op(e4,e2)))) ),[1,1],$fot(e1)]]) ).
cnf(refute_0_321,plain,
( op(e2,op(e4,e2)) != e1
| op(e0,op(e2,op(e4,e2))) = op(e0,e1) ),
inference(resolve,[$cnf( $equal(op(e0,op(e2,op(e4,e2))),op(e0,op(e2,op(e4,e2)))) )],[refute_0_319,refute_0_320]) ).
cnf(refute_0_322,plain,
( e1 != op(e2,op(e4,e2))
| op(e0,op(e2,op(e4,e2))) = op(e0,e1) ),
inference(resolve,[$cnf( $equal(op(e2,op(e4,e2)),e1) )],[refute_0_318,refute_0_321]) ).
cnf(refute_0_323,plain,
e0 = e0,
introduced(tautology,[refl,[$fot(e0)]]) ).
cnf(refute_0_324,plain,
( e0 != e0
| e0 != op(e4,e2)
| op(e4,e2) = e0 ),
introduced(tautology,[equality,[$cnf( $equal(e0,e0) ),[0],$fot(op(e4,e2))]]) ).
cnf(refute_0_325,plain,
( e0 != op(e4,e2)
| op(e4,e2) = e0 ),
inference(resolve,[$cnf( $equal(e0,e0) )],[refute_0_323,refute_0_324]) ).
cnf(refute_0_326,plain,
op(op(e4,e2),op(e2,op(e4,e2))) = op(op(e4,e2),op(e2,op(e4,e2))),
introduced(tautology,[refl,[$fot(op(op(e4,e2),op(e2,op(e4,e2))))]]) ).
cnf(refute_0_327,plain,
( op(e4,e2) != e0
| op(op(e4,e2),op(e2,op(e4,e2))) != op(op(e4,e2),op(e2,op(e4,e2)))
| op(op(e4,e2),op(e2,op(e4,e2))) = op(e0,op(e2,op(e4,e2))) ),
introduced(tautology,[equality,[$cnf( $equal(op(op(e4,e2),op(e2,op(e4,e2))),op(op(e4,e2),op(e2,op(e4,e2)))) ),[1,0],$fot(e0)]]) ).
cnf(refute_0_328,plain,
( op(e4,e2) != e0
| op(op(e4,e2),op(e2,op(e4,e2))) = op(e0,op(e2,op(e4,e2))) ),
inference(resolve,[$cnf( $equal(op(op(e4,e2),op(e2,op(e4,e2))),op(op(e4,e2),op(e2,op(e4,e2)))) )],[refute_0_326,refute_0_327]) ).
cnf(refute_0_329,plain,
( e0 != op(e4,e2)
| op(op(e4,e2),op(e2,op(e4,e2))) = op(e0,op(e2,op(e4,e2))) ),
inference(resolve,[$cnf( $equal(op(e4,e2),e0) )],[refute_0_325,refute_0_328]) ).
cnf(refute_0_330,plain,
( op(e0,op(e2,op(e4,e2))) != op(e0,e1)
| op(op(e4,e2),op(e2,op(e4,e2))) != op(e0,op(e2,op(e4,e2)))
| op(op(e4,e2),op(e2,op(e4,e2))) = op(e0,e1) ),
inference(subst,[],[refute_0_18:[bind(X,$fot(op(op(e4,e2),op(e2,op(e4,e2))))),bind(Y,$fot(op(e0,op(e2,op(e4,e2))))),bind(Z,$fot(op(e0,e1)))]]) ).
cnf(refute_0_331,plain,
( e0 != op(e4,e2)
| op(e0,op(e2,op(e4,e2))) != op(e0,e1)
| op(op(e4,e2),op(e2,op(e4,e2))) = op(e0,e1) ),
inference(resolve,[$cnf( $equal(op(op(e4,e2),op(e2,op(e4,e2))),op(e0,op(e2,op(e4,e2)))) )],[refute_0_329,refute_0_330]) ).
cnf(refute_0_332,plain,
( e0 != op(e4,e2)
| e1 != op(e2,op(e4,e2))
| op(op(e4,e2),op(e2,op(e4,e2))) = op(e0,e1) ),
inference(resolve,[$cnf( $equal(op(e0,op(e2,op(e4,e2))),op(e0,e1)) )],[refute_0_322,refute_0_331]) ).
cnf(refute_0_333,plain,
( e3 != op(e0,e1)
| op(op(e4,e2),op(e2,op(e4,e2))) != op(e0,e1)
| e3 = op(op(e4,e2),op(e2,op(e4,e2))) ),
introduced(tautology,[equality,[$cnf( ~ $equal(e3,op(op(e4,e2),op(e2,op(e4,e2)))) ),[1],$fot(op(e0,e1))]]) ).
cnf(refute_0_334,plain,
( e0 != op(e4,e2)
| e1 != op(e2,op(e4,e2))
| e3 != op(e0,e1)
| e3 = op(op(e4,e2),op(e2,op(e4,e2))) ),
inference(resolve,[$cnf( $equal(op(op(e4,e2),op(e2,op(e4,e2))),op(e0,e1)) )],[refute_0_332,refute_0_333]) ).
cnf(refute_0_335,plain,
( e0 != op(e4,e2)
| e1 != op(e2,op(e4,e2))
| e3 != op(e0,e1) ),
inference(resolve,[$cnf( $equal(e3,op(op(e4,e2),op(e2,op(e4,e2)))) )],[refute_0_334,refute_0_316]) ).
cnf(refute_0_336,plain,
op(e2,op(e4,e2)) = op(e2,op(e4,e2)),
introduced(tautology,[refl,[$fot(op(e2,op(e4,e2)))]]) ).
cnf(refute_0_337,plain,
( op(e2,op(e4,e2)) != op(e2,op(e4,e2))
| op(e4,e2) != e0
| op(e2,op(e4,e2)) = op(e2,e0) ),
introduced(tautology,[equality,[$cnf( $equal(op(e2,op(e4,e2)),op(e2,op(e4,e2))) ),[1,1],$fot(e0)]]) ).
cnf(refute_0_338,plain,
( op(e4,e2) != e0
| op(e2,op(e4,e2)) = op(e2,e0) ),
inference(resolve,[$cnf( $equal(op(e2,op(e4,e2)),op(e2,op(e4,e2))) )],[refute_0_336,refute_0_337]) ).
cnf(refute_0_339,plain,
( e0 != op(e4,e2)
| op(e2,op(e4,e2)) = op(e2,e0) ),
inference(resolve,[$cnf( $equal(op(e4,e2),e0) )],[refute_0_325,refute_0_338]) ).
cnf(refute_0_340,plain,
( e1 != op(e2,e0)
| op(e2,op(e4,e2)) != op(e2,e0)
| e1 = op(e2,op(e4,e2)) ),
introduced(tautology,[equality,[$cnf( ~ $equal(e1,op(e2,op(e4,e2))) ),[1],$fot(op(e2,e0))]]) ).
cnf(refute_0_341,plain,
( e0 != op(e4,e2)
| e1 != op(e2,e0)
| e1 = op(e2,op(e4,e2)) ),
inference(resolve,[$cnf( $equal(op(e2,op(e4,e2)),op(e2,e0)) )],[refute_0_339,refute_0_340]) ).
cnf(refute_0_342,plain,
( e0 != op(e4,e2)
| e1 != op(e2,e0)
| e3 != op(e0,e1) ),
inference(resolve,[$cnf( $equal(e1,op(e2,op(e4,e2))) )],[refute_0_341,refute_0_335]) ).
cnf(refute_0_343,plain,
op(op(e2,e4),e4) = e2,
inference(canonicalize,[],[normalize_0_59]) ).
cnf(refute_0_344,plain,
op(e3,e1) != op(e3,e4),
inference(canonicalize,[],[normalize_0_60]) ).
cnf(refute_0_345,plain,
op(op(e4,e4),op(e4,e4)) = e4,
inference(canonicalize,[],[normalize_0_61]) ).
cnf(refute_0_346,plain,
( op(e0,e4) = e0
| op(e1,e4) = e0
| op(e2,e4) = e0
| op(e3,e4) = e0
| op(e4,e4) = e0 ),
inference(canonicalize,[],[normalize_0_62]) ).
cnf(refute_0_347,plain,
( op(e1,e4) = e0
| op(e2,e4) = e0
| op(e3,e4) = e0
| op(e4,e4) = e0 ),
inference(resolve,[$cnf( $equal(op(e0,e4),e0) )],[refute_0_346,refute_0_174]) ).
cnf(refute_0_348,plain,
( op(e4,e4) != e0
| op(op(e4,e4),op(e4,e4)) != e4
| op(e0,op(e4,e4)) = e4 ),
introduced(tautology,[equality,[$cnf( $equal(op(op(e4,e4),op(e4,e4)),e4) ),[0,0],$fot(e0)]]) ).
cnf(refute_0_349,plain,
( op(op(e4,e4),op(e4,e4)) != e4
| op(e0,op(e4,e4)) = e4
| op(e1,e4) = e0
| op(e2,e4) = e0
| op(e3,e4) = e0 ),
inference(resolve,[$cnf( $equal(op(e4,e4),e0) )],[refute_0_347,refute_0_348]) ).
cnf(refute_0_350,plain,
( op(e0,op(e4,e4)) = e4
| op(e1,e4) = e0
| op(e2,e4) = e0
| op(e3,e4) = e0 ),
inference(resolve,[$cnf( $equal(op(op(e4,e4),op(e4,e4)),e4) )],[refute_0_345,refute_0_349]) ).
cnf(refute_0_351,plain,
( op(e0,op(e4,e4)) != e4
| op(e4,e4) != e0
| op(e0,e0) = e4 ),
introduced(tautology,[equality,[$cnf( $equal(op(e0,op(e4,e4)),e4) ),[0,1],$fot(e0)]]) ).
cnf(refute_0_352,plain,
( op(e0,op(e4,e4)) != e4
| op(e0,e0) = e4
| op(e1,e4) = e0
| op(e2,e4) = e0
| op(e3,e4) = e0 ),
inference(resolve,[$cnf( $equal(op(e4,e4),e0) )],[refute_0_347,refute_0_351]) ).
cnf(refute_0_353,plain,
( op(e0,e0) = e4
| op(e1,e4) = e0
| op(e2,e4) = e0
| op(e3,e4) = e0 ),
inference(resolve,[$cnf( $equal(op(e0,op(e4,e4)),e4) )],[refute_0_350,refute_0_352]) ).
cnf(refute_0_354,plain,
( e0 = e4
| op(e1,e4) = e0
| op(e2,e4) = e0
| op(e3,e4) = e0 ),
inference(resolve,[$cnf( $equal(op(e0,e0),e4) )],[refute_0_353,refute_0_177]) ).
cnf(refute_0_355,plain,
( op(e1,e4) = e0
| op(e2,e4) = e0
| op(e3,e4) = e0 ),
inference(resolve,[$cnf( $equal(e0,e4) )],[refute_0_354,refute_0_53]) ).
cnf(refute_0_356,plain,
( op(e3,e1) != e0
| op(e3,e4) != e0
| op(e3,e1) = op(e3,e4) ),
introduced(tautology,[equality,[$cnf( ~ $equal(op(e3,e1),op(e3,e4)) ),[1],$fot(e0)]]) ).
cnf(refute_0_357,plain,
( op(e3,e1) != e0
| op(e1,e4) = e0
| op(e2,e4) = e0
| op(e3,e1) = op(e3,e4) ),
inference(resolve,[$cnf( $equal(op(e3,e4),e0) )],[refute_0_355,refute_0_356]) ).
cnf(refute_0_358,plain,
( op(e3,e1) != e0
| op(e1,e4) = e0
| op(e2,e4) = e0 ),
inference(resolve,[$cnf( $equal(op(e3,e1),op(e3,e4)) )],[refute_0_357,refute_0_344]) ).
cnf(refute_0_359,plain,
op(op(e1,e1),op(e1,e1)) = e1,
inference(canonicalize,[],[normalize_0_63]) ).
cnf(refute_0_360,plain,
( op(e1,e1) != e0
| op(op(e1,e1),op(e1,e1)) != e1
| op(e0,op(e1,e1)) = e1 ),
introduced(tautology,[equality,[$cnf( $equal(op(op(e1,e1),op(e1,e1)),e1) ),[0,0],$fot(e0)]]) ).
cnf(refute_0_361,plain,
( op(op(e1,e1),op(e1,e1)) != e1
| op(e0,e1) = e2
| op(e0,e1) = e3
| op(e0,e1) = e4
| op(e0,op(e1,e1)) = e1 ),
inference(resolve,[$cnf( $equal(op(e1,e1),e0) )],[refute_0_73,refute_0_360]) ).
cnf(refute_0_362,plain,
( op(e0,e1) = e2
| op(e0,e1) = e3
| op(e0,e1) = e4
| op(e0,op(e1,e1)) = e1 ),
inference(resolve,[$cnf( $equal(op(op(e1,e1),op(e1,e1)),e1) )],[refute_0_359,refute_0_361]) ).
cnf(refute_0_363,plain,
( op(e0,op(e1,e1)) != e1
| op(e1,e1) != e0
| op(e0,e0) = e1 ),
introduced(tautology,[equality,[$cnf( $equal(op(e0,op(e1,e1)),e1) ),[0,1],$fot(e0)]]) ).
cnf(refute_0_364,plain,
( op(e0,op(e1,e1)) != e1
| op(e0,e0) = e1
| op(e0,e1) = e2
| op(e0,e1) = e3
| op(e0,e1) = e4 ),
inference(resolve,[$cnf( $equal(op(e1,e1),e0) )],[refute_0_73,refute_0_363]) ).
cnf(refute_0_365,plain,
( op(e0,e0) = e1
| op(e0,e1) = e2
| op(e0,e1) = e3
| op(e0,e1) = e4 ),
inference(resolve,[$cnf( $equal(op(e0,op(e1,e1)),e1) )],[refute_0_362,refute_0_364]) ).
cnf(refute_0_366,plain,
( e0 = e1
| op(e0,e1) = e2
| op(e0,e1) = e3
| op(e0,e1) = e4 ),
inference(resolve,[$cnf( $equal(op(e0,e0),e1) )],[refute_0_365,refute_0_256]) ).
cnf(refute_0_367,plain,
( op(e0,e1) = e2
| op(e0,e1) = e3
| op(e0,e1) = e4 ),
inference(resolve,[$cnf( $equal(e0,e1) )],[refute_0_366,refute_0_67]) ).
cnf(refute_0_368,plain,
( op(e0,e1) != e3
| op(op(e0,e1),e1) != e0
| op(e3,e1) = e0 ),
introduced(tautology,[equality,[$cnf( $equal(op(op(e0,e1),e1),e0) ),[0,0],$fot(e3)]]) ).
cnf(refute_0_369,plain,
( op(op(e0,e1),e1) != e0
| op(e0,e1) = e2
| op(e0,e1) = e4
| op(e3,e1) = e0 ),
inference(resolve,[$cnf( $equal(op(e0,e1),e3) )],[refute_0_367,refute_0_368]) ).
cnf(refute_0_370,plain,
( op(e0,e1) = e2
| op(e0,e1) = e4
| op(e3,e1) = e0 ),
inference(resolve,[$cnf( $equal(op(op(e0,e1),e1),e0) )],[refute_0_57,refute_0_369]) ).
cnf(refute_0_371,plain,
( e0 != e0
| op(e3,e1) != e0
| op(e3,e1) = e0 ),
introduced(tautology,[equality,[$cnf( $equal(op(e3,e1),e0) ),[1],$fot(e0)]]) ).
cnf(refute_0_372,plain,
( e0 != e0
| op(e0,e1) = e2
| op(e0,e1) = e4
| op(e3,e1) = e0 ),
inference(resolve,[$cnf( $equal(op(e3,e1),e0) )],[refute_0_370,refute_0_371]) ).
cnf(refute_0_373,plain,
( e0 != e0
| op(e0,e1) = e2
| op(e0,e1) = e4
| op(e1,e4) = e0
| op(e2,e4) = e0 ),
inference(resolve,[$cnf( $equal(op(e3,e1),e0) )],[refute_0_372,refute_0_358]) ).
cnf(refute_0_374,plain,
( op(e0,e1) = e2
| op(e0,e1) = e4
| op(e1,e4) = e0
| op(e2,e4) = e0 ),
inference(resolve,[$cnf( $equal(e0,e0) )],[refute_0_323,refute_0_373]) ).
cnf(refute_0_375,plain,
( op(e2,e4) != e0
| op(op(e2,e4),e4) != e2
| op(e0,e4) = e2 ),
introduced(tautology,[equality,[$cnf( $equal(op(op(e2,e4),e4),e2) ),[0,0],$fot(e0)]]) ).
cnf(refute_0_376,plain,
( op(op(e2,e4),e4) != e2
| op(e0,e1) = e2
| op(e0,e1) = e4
| op(e0,e4) = e2
| op(e1,e4) = e0 ),
inference(resolve,[$cnf( $equal(op(e2,e4),e0) )],[refute_0_374,refute_0_375]) ).
cnf(refute_0_377,plain,
( op(e0,e1) = e2
| op(e0,e1) = e4
| op(e0,e4) = e2
| op(e1,e4) = e0 ),
inference(resolve,[$cnf( $equal(op(op(e2,e4),e4),e2) )],[refute_0_343,refute_0_376]) ).
cnf(refute_0_378,plain,
( op(e1,e4) != e0
| op(op(e1,e4),op(e4,e1)) != e4
| op(e0,op(e4,e1)) = e4 ),
introduced(tautology,[equality,[$cnf( $equal(op(op(e1,e4),op(e4,e1)),e4) ),[0,0],$fot(e0)]]) ).
cnf(refute_0_379,plain,
( op(op(e1,e4),op(e4,e1)) != e4
| op(e0,e1) = e2
| op(e0,e1) = e4
| op(e0,e4) = e2
| op(e0,op(e4,e1)) = e4 ),
inference(resolve,[$cnf( $equal(op(e1,e4),e0) )],[refute_0_377,refute_0_378]) ).
cnf(refute_0_380,plain,
( op(e0,e1) = e2
| op(e0,e1) = e4
| op(e0,e4) = e2
| op(e0,op(e4,e1)) = e4 ),
inference(resolve,[$cnf( $equal(op(op(e1,e4),op(e4,e1)),e4) )],[refute_0_222,refute_0_379]) ).
cnf(refute_0_381,plain,
( op(e0,e1) = e4
| op(e1,e1) = e4
| op(e2,e1) = e4
| op(e3,e1) = e4
| op(e4,e1) = e4 ),
inference(canonicalize,[],[normalize_0_64]) ).
cnf(refute_0_382,plain,
( op(op(e1,e4),op(e4,e1)) != e4
| op(e0,e1) = e4
| op(e1,e1) = e4
| op(e2,e1) = e4
| op(e3,e1) = e4
| op(op(e1,e4),e4) = e4 ),
inference(resolve,[$cnf( $equal(op(e4,e1),e4) )],[refute_0_381,refute_0_299]) ).
cnf(refute_0_383,plain,
( op(e0,e1) = e4
| op(e1,e1) = e4
| op(e2,e1) = e4
| op(e3,e1) = e4
| op(op(e1,e4),e4) = e4 ),
inference(resolve,[$cnf( $equal(op(op(e1,e4),op(e4,e1)),e4) )],[refute_0_222,refute_0_382]) ).
cnf(refute_0_384,plain,
( e1 = e4
| op(e0,e1) = e4
| op(e1,e1) = e4
| op(e2,e1) = e4
| op(e3,e1) = e4 ),
inference(resolve,[$cnf( $equal(op(op(e1,e4),e4),e4) )],[refute_0_383,refute_0_304]) ).
cnf(refute_0_385,plain,
( op(e0,e1) = e4
| op(e1,e1) = e4
| op(e2,e1) = e4
| op(e3,e1) = e4 ),
inference(resolve,[$cnf( $equal(e1,e4) )],[refute_0_384,refute_0_253]) ).
cnf(refute_0_386,plain,
( op(e1,e1) != e1
| op(e1,e1) != e4
| e1 = e4 ),
introduced(tautology,[equality,[$cnf( $equal(op(e1,e1),e4) ),[0],$fot(e1)]]) ).
cnf(refute_0_387,plain,
( op(e1,e1) != e4
| e1 = e4 ),
inference(resolve,[$cnf( $equal(op(e1,e1),e1) )],[refute_0_289,refute_0_386]) ).
cnf(refute_0_388,plain,
( e1 = e4
| op(e0,e1) = e4
| op(e2,e1) = e4
| op(e3,e1) = e4 ),
inference(resolve,[$cnf( $equal(op(e1,e1),e4) )],[refute_0_385,refute_0_387]) ).
cnf(refute_0_389,plain,
( op(e0,e1) = e4
| op(e2,e1) = e4
| op(e3,e1) = e4 ),
inference(resolve,[$cnf( $equal(e1,e4) )],[refute_0_388,refute_0_253]) ).
cnf(refute_0_390,plain,
( op(e3,e1) != e0
| op(e3,e1) != e4
| e4 = e0 ),
introduced(tautology,[equality,[$cnf( $equal(op(e3,e1),e0) ),[0],$fot(e4)]]) ).
cnf(refute_0_391,plain,
( op(e3,e1) != e0
| e4 = e0
| op(e0,e1) = e4
| op(e2,e1) = e4 ),
inference(resolve,[$cnf( $equal(op(e3,e1),e4) )],[refute_0_389,refute_0_390]) ).
cnf(refute_0_392,plain,
( e4 = e0
| op(e0,e1) = e2
| op(e0,e1) = e4
| op(e2,e1) = e4 ),
inference(resolve,[$cnf( $equal(op(e3,e1),e0) )],[refute_0_370,refute_0_391]) ).
cnf(refute_0_393,plain,
( op(e0,e1) = e2
| op(e0,e1) = e4
| op(e2,e1) = e4 ),
inference(resolve,[$cnf( $equal(e4,e0) )],[refute_0_392,refute_0_158]) ).
cnf(refute_0_394,plain,
( op(e2,e1) != e4
| op(op(e2,e1),e1) != e2
| op(e4,e1) = e2 ),
introduced(tautology,[equality,[$cnf( $equal(op(op(e2,e1),e1),e2) ),[0,0],$fot(e4)]]) ).
cnf(refute_0_395,plain,
( op(op(e2,e1),e1) != e2
| op(e0,e1) = e2
| op(e0,e1) = e4
| op(e4,e1) = e2 ),
inference(resolve,[$cnf( $equal(op(e2,e1),e4) )],[refute_0_393,refute_0_394]) ).
cnf(refute_0_396,plain,
( op(e0,e1) = e2
| op(e0,e1) = e4
| op(e4,e1) = e2 ),
inference(resolve,[$cnf( $equal(op(op(e2,e1),e1),e2) )],[refute_0_282,refute_0_395]) ).
cnf(refute_0_397,plain,
( op(e0,op(e4,e1)) != e4
| op(e4,e1) != e2
| op(e0,e2) = e4 ),
introduced(tautology,[equality,[$cnf( $equal(op(e0,op(e4,e1)),e4) ),[0,1],$fot(e2)]]) ).
cnf(refute_0_398,plain,
( op(e0,op(e4,e1)) != e4
| op(e0,e1) = e2
| op(e0,e1) = e4
| op(e0,e2) = e4 ),
inference(resolve,[$cnf( $equal(op(e4,e1),e2) )],[refute_0_396,refute_0_397]) ).
cnf(refute_0_399,plain,
( op(e0,e1) = e2
| op(e0,e1) = e4
| op(e0,e2) = e4
| op(e0,e4) = e2 ),
inference(resolve,[$cnf( $equal(op(e0,op(e4,e1)),e4) )],[refute_0_380,refute_0_398]) ).
cnf(refute_0_400,plain,
( e0 != op(e2,e4)
| e1 != op(e4,op(e2,e4))
| e3 != op(op(e2,e4),op(e4,op(e2,e4))) ),
inference(canonicalize,[],[normalize_0_65]) ).
cnf(refute_0_401,plain,
( e1 != e1
| e1 != op(e4,op(e2,e4))
| op(e4,op(e2,e4)) = e1 ),
introduced(tautology,[equality,[$cnf( $equal(e1,e1) ),[0],$fot(op(e4,op(e2,e4)))]]) ).
cnf(refute_0_402,plain,
( e1 != op(e4,op(e2,e4))
| op(e4,op(e2,e4)) = e1 ),
inference(resolve,[$cnf( $equal(e1,e1) )],[refute_0_297,refute_0_401]) ).
cnf(refute_0_403,plain,
op(e0,op(e4,op(e2,e4))) = op(e0,op(e4,op(e2,e4))),
introduced(tautology,[refl,[$fot(op(e0,op(e4,op(e2,e4))))]]) ).
cnf(refute_0_404,plain,
( op(e0,op(e4,op(e2,e4))) != op(e0,op(e4,op(e2,e4)))
| op(e4,op(e2,e4)) != e1
| op(e0,op(e4,op(e2,e4))) = op(e0,e1) ),
introduced(tautology,[equality,[$cnf( $equal(op(e0,op(e4,op(e2,e4))),op(e0,op(e4,op(e2,e4)))) ),[1,1],$fot(e1)]]) ).
cnf(refute_0_405,plain,
( op(e4,op(e2,e4)) != e1
| op(e0,op(e4,op(e2,e4))) = op(e0,e1) ),
inference(resolve,[$cnf( $equal(op(e0,op(e4,op(e2,e4))),op(e0,op(e4,op(e2,e4)))) )],[refute_0_403,refute_0_404]) ).
cnf(refute_0_406,plain,
( e1 != op(e4,op(e2,e4))
| op(e0,op(e4,op(e2,e4))) = op(e0,e1) ),
inference(resolve,[$cnf( $equal(op(e4,op(e2,e4)),e1) )],[refute_0_402,refute_0_405]) ).
cnf(refute_0_407,plain,
( e0 != e0
| e0 != op(e2,e4)
| op(e2,e4) = e0 ),
introduced(tautology,[equality,[$cnf( $equal(e0,e0) ),[0],$fot(op(e2,e4))]]) ).
cnf(refute_0_408,plain,
( e0 != op(e2,e4)
| op(e2,e4) = e0 ),
inference(resolve,[$cnf( $equal(e0,e0) )],[refute_0_323,refute_0_407]) ).
cnf(refute_0_409,plain,
op(op(e2,e4),op(e4,op(e2,e4))) = op(op(e2,e4),op(e4,op(e2,e4))),
introduced(tautology,[refl,[$fot(op(op(e2,e4),op(e4,op(e2,e4))))]]) ).
cnf(refute_0_410,plain,
( op(e2,e4) != e0
| op(op(e2,e4),op(e4,op(e2,e4))) != op(op(e2,e4),op(e4,op(e2,e4)))
| op(op(e2,e4),op(e4,op(e2,e4))) = op(e0,op(e4,op(e2,e4))) ),
introduced(tautology,[equality,[$cnf( $equal(op(op(e2,e4),op(e4,op(e2,e4))),op(op(e2,e4),op(e4,op(e2,e4)))) ),[1,0],$fot(e0)]]) ).
cnf(refute_0_411,plain,
( op(e2,e4) != e0
| op(op(e2,e4),op(e4,op(e2,e4))) = op(e0,op(e4,op(e2,e4))) ),
inference(resolve,[$cnf( $equal(op(op(e2,e4),op(e4,op(e2,e4))),op(op(e2,e4),op(e4,op(e2,e4)))) )],[refute_0_409,refute_0_410]) ).
cnf(refute_0_412,plain,
( e0 != op(e2,e4)
| op(op(e2,e4),op(e4,op(e2,e4))) = op(e0,op(e4,op(e2,e4))) ),
inference(resolve,[$cnf( $equal(op(e2,e4),e0) )],[refute_0_408,refute_0_411]) ).
cnf(refute_0_413,plain,
( op(e0,op(e4,op(e2,e4))) != op(e0,e1)
| op(op(e2,e4),op(e4,op(e2,e4))) != op(e0,op(e4,op(e2,e4)))
| op(op(e2,e4),op(e4,op(e2,e4))) = op(e0,e1) ),
inference(subst,[],[refute_0_18:[bind(X,$fot(op(op(e2,e4),op(e4,op(e2,e4))))),bind(Y,$fot(op(e0,op(e4,op(e2,e4))))),bind(Z,$fot(op(e0,e1)))]]) ).
cnf(refute_0_414,plain,
( e0 != op(e2,e4)
| op(e0,op(e4,op(e2,e4))) != op(e0,e1)
| op(op(e2,e4),op(e4,op(e2,e4))) = op(e0,e1) ),
inference(resolve,[$cnf( $equal(op(op(e2,e4),op(e4,op(e2,e4))),op(e0,op(e4,op(e2,e4)))) )],[refute_0_412,refute_0_413]) ).
cnf(refute_0_415,plain,
( e0 != op(e2,e4)
| e1 != op(e4,op(e2,e4))
| op(op(e2,e4),op(e4,op(e2,e4))) = op(e0,e1) ),
inference(resolve,[$cnf( $equal(op(e0,op(e4,op(e2,e4))),op(e0,e1)) )],[refute_0_406,refute_0_414]) ).
cnf(refute_0_416,plain,
( e3 != op(e0,e1)
| op(op(e2,e4),op(e4,op(e2,e4))) != op(e0,e1)
| e3 = op(op(e2,e4),op(e4,op(e2,e4))) ),
introduced(tautology,[equality,[$cnf( ~ $equal(e3,op(op(e2,e4),op(e4,op(e2,e4)))) ),[1],$fot(op(e0,e1))]]) ).
cnf(refute_0_417,plain,
( e0 != op(e2,e4)
| e1 != op(e4,op(e2,e4))
| e3 != op(e0,e1)
| e3 = op(op(e2,e4),op(e4,op(e2,e4))) ),
inference(resolve,[$cnf( $equal(op(op(e2,e4),op(e4,op(e2,e4))),op(e0,e1)) )],[refute_0_415,refute_0_416]) ).
cnf(refute_0_418,plain,
( e0 != op(e2,e4)
| e1 != op(e4,op(e2,e4))
| e3 != op(e0,e1) ),
inference(resolve,[$cnf( $equal(e3,op(op(e2,e4),op(e4,op(e2,e4)))) )],[refute_0_417,refute_0_400]) ).
cnf(refute_0_419,plain,
op(e4,op(e2,e4)) = op(e4,op(e2,e4)),
introduced(tautology,[refl,[$fot(op(e4,op(e2,e4)))]]) ).
cnf(refute_0_420,plain,
( op(e2,e4) != e0
| op(e4,op(e2,e4)) != op(e4,op(e2,e4))
| op(e4,op(e2,e4)) = op(e4,e0) ),
introduced(tautology,[equality,[$cnf( $equal(op(e4,op(e2,e4)),op(e4,op(e2,e4))) ),[1,1],$fot(e0)]]) ).
cnf(refute_0_421,plain,
( op(e2,e4) != e0
| op(e4,op(e2,e4)) = op(e4,e0) ),
inference(resolve,[$cnf( $equal(op(e4,op(e2,e4)),op(e4,op(e2,e4))) )],[refute_0_419,refute_0_420]) ).
cnf(refute_0_422,plain,
( e0 != op(e2,e4)
| op(e4,op(e2,e4)) = op(e4,e0) ),
inference(resolve,[$cnf( $equal(op(e2,e4),e0) )],[refute_0_408,refute_0_421]) ).
cnf(refute_0_423,plain,
( e1 != op(e4,e0)
| op(e4,op(e2,e4)) != op(e4,e0)
| e1 = op(e4,op(e2,e4)) ),
introduced(tautology,[equality,[$cnf( ~ $equal(e1,op(e4,op(e2,e4))) ),[1],$fot(op(e4,e0))]]) ).
cnf(refute_0_424,plain,
( e0 != op(e2,e4)
| e1 != op(e4,e0)
| e1 = op(e4,op(e2,e4)) ),
inference(resolve,[$cnf( $equal(op(e4,op(e2,e4)),op(e4,e0)) )],[refute_0_422,refute_0_423]) ).
cnf(refute_0_425,plain,
( e0 != op(e2,e4)
| e1 != op(e4,e0)
| e3 != op(e0,e1) ),
inference(resolve,[$cnf( $equal(e1,op(e4,op(e2,e4))) )],[refute_0_424,refute_0_418]) ).
cnf(refute_0_426,plain,
op(op(e1,e3),op(e3,e1)) = e3,
inference(canonicalize,[],[normalize_0_66]) ).
cnf(refute_0_427,plain,
( op(e3,e1) != e0
| op(op(e1,e3),op(e3,e1)) != e3
| op(op(e1,e3),e0) = e3 ),
introduced(tautology,[equality,[$cnf( $equal(op(op(e1,e3),op(e3,e1)),e3) ),[0,1],$fot(e0)]]) ).
cnf(refute_0_428,plain,
( op(op(e1,e3),op(e3,e1)) != e3
| op(e0,e1) = e2
| op(e0,e1) = e4
| op(op(e1,e3),e0) = e3 ),
inference(resolve,[$cnf( $equal(op(e3,e1),e0) )],[refute_0_370,refute_0_427]) ).
cnf(refute_0_429,plain,
( op(e0,e1) = e2
| op(e0,e1) = e4
| op(op(e1,e3),e0) = e3 ),
inference(resolve,[$cnf( $equal(op(op(e1,e3),op(e3,e1)),e3) )],[refute_0_426,refute_0_428]) ).
cnf(refute_0_430,plain,
( op(e1,e0) = e0
| op(e1,e1) = e0
| op(e1,e2) = e0
| op(e1,e3) = e0
| op(e1,e4) = e0 ),
inference(canonicalize,[],[normalize_0_67]) ).
cnf(refute_0_431,plain,
op(e0,e0) != op(e1,e0),
inference(canonicalize,[],[normalize_0_68]) ).
cnf(refute_0_432,plain,
( e0 != op(e1,e0)
| op(e0,e0) != e0
| op(e0,e0) = op(e1,e0) ),
introduced(tautology,[equality,[$cnf( $equal(op(e0,e0),e0) ),[1],$fot(op(e1,e0))]]) ).
cnf(refute_0_433,plain,
( e0 != op(e1,e0)
| op(e0,e0) = op(e1,e0) ),
inference(resolve,[$cnf( $equal(op(e0,e0),e0) )],[refute_0_175,refute_0_432]) ).
cnf(refute_0_434,plain,
e0 != op(e1,e0),
inference(resolve,[$cnf( $equal(op(e0,e0),op(e1,e0)) )],[refute_0_433,refute_0_431]) ).
cnf(refute_0_435,plain,
( op(e1,e0) != e0
| e0 = op(e1,e0) ),
inference(subst,[],[refute_0_16:[bind(X,$fot(op(e1,e0))),bind(Y,$fot(e0))]]) ).
cnf(refute_0_436,plain,
op(e1,e0) != e0,
inference(resolve,[$cnf( $equal(e0,op(e1,e0)) )],[refute_0_435,refute_0_434]) ).
cnf(refute_0_437,plain,
( op(e1,e1) = e0
| op(e1,e2) = e0
| op(e1,e3) = e0
| op(e1,e4) = e0 ),
inference(resolve,[$cnf( $equal(op(e1,e0),e0) )],[refute_0_430,refute_0_436]) ).
cnf(refute_0_438,plain,
( op(e1,e4) != e0
| op(op(e1,e4),e4) != e1
| op(e0,e4) = e1 ),
introduced(tautology,[equality,[$cnf( $equal(op(op(e1,e4),e4),e1) ),[0,0],$fot(e0)]]) ).
cnf(refute_0_439,plain,
( op(op(e1,e4),e4) != e1
| op(e0,e4) = e1
| op(e1,e1) = e0
| op(e1,e2) = e0
| op(e1,e3) = e0 ),
inference(resolve,[$cnf( $equal(op(e1,e4),e0) )],[refute_0_437,refute_0_438]) ).
cnf(refute_0_440,plain,
( op(e0,e4) = e1
| op(e1,e1) = e0
| op(e1,e2) = e0
| op(e1,e3) = e0 ),
inference(resolve,[$cnf( $equal(op(op(e1,e4),e4),e1) )],[refute_0_302,refute_0_439]) ).
cnf(refute_0_441,plain,
( op(e1,e3) != e0
| op(op(e1,e3),e0) != e3
| op(e0,e0) = e3 ),
introduced(tautology,[equality,[$cnf( $equal(op(op(e1,e3),e0),e3) ),[0,0],$fot(e0)]]) ).
cnf(refute_0_442,plain,
( op(op(e1,e3),e0) != e3
| op(e0,e0) = e3
| op(e0,e4) = e1
| op(e1,e1) = e0
| op(e1,e2) = e0 ),
inference(resolve,[$cnf( $equal(op(e1,e3),e0) )],[refute_0_440,refute_0_441]) ).
cnf(refute_0_443,plain,
( op(e0,e0) = e3
| op(e0,e1) = e2
| op(e0,e1) = e4
| op(e0,e4) = e1
| op(e1,e1) = e0
| op(e1,e2) = e0 ),
inference(resolve,[$cnf( $equal(op(op(e1,e3),e0),e3) )],[refute_0_429,refute_0_442]) ).
cnf(refute_0_444,plain,
( e0 = e3
| op(e0,e1) = e2
| op(e0,e1) = e4
| op(e0,e4) = e1
| op(e1,e1) = e0
| op(e1,e2) = e0 ),
inference(resolve,[$cnf( $equal(op(e0,e0),e3) )],[refute_0_443,refute_0_206]) ).
cnf(refute_0_445,plain,
( op(e0,e1) = e2
| op(e0,e1) = e4
| op(e0,e4) = e1
| op(e1,e1) = e0
| op(e1,e2) = e0 ),
inference(resolve,[$cnf( $equal(e0,e3) )],[refute_0_444,refute_0_85]) ).
cnf(refute_0_446,plain,
( op(e1,e1) != e0
| op(e1,e1) != e1
| e1 = e0 ),
introduced(tautology,[equality,[$cnf( $equal(op(e1,e1),e0) ),[0],$fot(e1)]]) ).
cnf(refute_0_447,plain,
( op(e1,e1) != e0
| e1 = e0 ),
inference(resolve,[$cnf( $equal(op(e1,e1),e1) )],[refute_0_289,refute_0_446]) ).
cnf(refute_0_448,plain,
( e1 = e0
| op(e0,e1) = e2
| op(e0,e1) = e4
| op(e0,e4) = e1
| op(e1,e2) = e0 ),
inference(resolve,[$cnf( $equal(op(e1,e1),e0) )],[refute_0_445,refute_0_447]) ).
cnf(refute_0_449,plain,
( op(e0,e1) = e2
| op(e0,e1) = e4
| op(e0,e4) = e1
| op(e1,e2) = e0 ),
inference(resolve,[$cnf( $equal(e1,e0) )],[refute_0_448,refute_0_69]) ).
cnf(refute_0_450,plain,
( op(e1,e2) != e0
| op(op(e2,e1),op(e1,e2)) != e1
| op(op(e2,e1),e0) = e1 ),
introduced(tautology,[equality,[$cnf( $equal(op(op(e2,e1),op(e1,e2)),e1) ),[0,1],$fot(e0)]]) ).
cnf(refute_0_451,plain,
( op(op(e2,e1),op(e1,e2)) != e1
| op(e0,e1) = e2
| op(e0,e1) = e4
| op(e0,e4) = e1
| op(op(e2,e1),e0) = e1 ),
inference(resolve,[$cnf( $equal(op(e1,e2),e0) )],[refute_0_449,refute_0_450]) ).
cnf(refute_0_452,plain,
( op(e0,e1) = e2
| op(e0,e1) = e4
| op(e0,e4) = e1
| op(op(e2,e1),e0) = e1 ),
inference(resolve,[$cnf( $equal(op(op(e2,e1),op(e1,e2)),e1) )],[refute_0_224,refute_0_451]) ).
cnf(refute_0_453,plain,
( op(e2,e1) != e4
| op(op(e2,e1),e0) != e1
| op(e4,e0) = e1 ),
introduced(tautology,[equality,[$cnf( $equal(op(op(e2,e1),e0),e1) ),[0,0],$fot(e4)]]) ).
cnf(refute_0_454,plain,
( op(op(e2,e1),e0) != e1
| op(e0,e1) = e2
| op(e0,e1) = e4
| op(e4,e0) = e1 ),
inference(resolve,[$cnf( $equal(op(e2,e1),e4) )],[refute_0_393,refute_0_453]) ).
cnf(refute_0_455,plain,
( op(e0,e1) = e2
| op(e0,e1) = e4
| op(e0,e4) = e1
| op(e4,e0) = e1 ),
inference(resolve,[$cnf( $equal(op(op(e2,e1),e0),e1) )],[refute_0_452,refute_0_454]) ).
cnf(refute_0_456,plain,
( e1 != e1
| op(e4,e0) != e1
| e1 = op(e4,e0) ),
introduced(tautology,[equality,[$cnf( ~ $equal(e1,op(e4,e0)) ),[1],$fot(e1)]]) ).
cnf(refute_0_457,plain,
( e1 != e1
| e1 = op(e4,e0)
| op(e0,e1) = e2
| op(e0,e1) = e4
| op(e0,e4) = e1 ),
inference(resolve,[$cnf( $equal(op(e4,e0),e1) )],[refute_0_455,refute_0_456]) ).
cnf(refute_0_458,plain,
( e0 != op(e2,e4)
| e1 != e1
| e3 != op(e0,e1)
| op(e0,e1) = e2
| op(e0,e1) = e4
| op(e0,e4) = e1 ),
inference(resolve,[$cnf( $equal(e1,op(e4,e0)) )],[refute_0_457,refute_0_425]) ).
cnf(refute_0_459,plain,
( e0 != op(e2,e4)
| e3 != op(e0,e1)
| op(e0,e1) = e2
| op(e0,e1) = e4
| op(e0,e4) = e1 ),
inference(resolve,[$cnf( $equal(e1,e1) )],[refute_0_297,refute_0_458]) ).
cnf(refute_0_460,plain,
( e3 != e3
| e3 != op(e0,e1)
| op(e0,e1) = e3 ),
introduced(tautology,[equality,[$cnf( $equal(e3,e3) ),[0],$fot(op(e0,e1))]]) ).
cnf(refute_0_461,plain,
( e3 != op(e0,e1)
| op(e0,e1) = e3 ),
inference(resolve,[$cnf( $equal(e3,e3) )],[refute_0_11,refute_0_460]) ).
cnf(refute_0_462,plain,
( op(e0,e1) != e2
| op(e0,e1) != e3
| e3 = e2 ),
introduced(tautology,[equality,[$cnf( $equal(op(e0,e1),e2) ),[0],$fot(e3)]]) ).
cnf(refute_0_463,plain,
( e3 != op(e0,e1)
| op(e0,e1) != e2
| e3 = e2 ),
inference(resolve,[$cnf( $equal(op(e0,e1),e3) )],[refute_0_461,refute_0_462]) ).
cnf(refute_0_464,plain,
( e0 != op(e2,e4)
| e3 != op(e0,e1)
| e3 = e2
| op(e0,e1) = e4
| op(e0,e4) = e1 ),
inference(resolve,[$cnf( $equal(op(e0,e1),e2) )],[refute_0_459,refute_0_463]) ).
cnf(refute_0_465,plain,
( op(e0,e1) != e3
| op(e0,e1) != e4
| e3 = e4 ),
introduced(tautology,[equality,[$cnf( $equal(op(e0,e1),e4) ),[0],$fot(e3)]]) ).
cnf(refute_0_466,plain,
( e3 != op(e0,e1)
| op(e0,e1) != e4
| e3 = e4 ),
inference(resolve,[$cnf( $equal(op(e0,e1),e3) )],[refute_0_461,refute_0_465]) ).
cnf(refute_0_467,plain,
( e0 != op(e2,e4)
| e3 != op(e0,e1)
| e3 = e2
| e3 = e4
| op(e0,e4) = e1 ),
inference(resolve,[$cnf( $equal(op(e0,e1),e4) )],[refute_0_464,refute_0_466]) ).
cnf(refute_0_468,plain,
e2 != e3,
inference(canonicalize,[],[normalize_0_69]) ).
cnf(refute_0_469,plain,
( e3 != e2
| e2 = e3 ),
inference(subst,[],[refute_0_16:[bind(X,$fot(e3)),bind(Y,$fot(e2))]]) ).
cnf(refute_0_470,plain,
e3 != e2,
inference(resolve,[$cnf( $equal(e2,e3) )],[refute_0_469,refute_0_468]) ).
cnf(refute_0_471,plain,
( e0 != op(e2,e4)
| e3 != op(e0,e1)
| e3 = e4
| op(e0,e4) = e1 ),
inference(resolve,[$cnf( $equal(e3,e2) )],[refute_0_467,refute_0_470]) ).
cnf(refute_0_472,plain,
e3 != e4,
inference(canonicalize,[],[normalize_0_70]) ).
cnf(refute_0_473,plain,
( e0 != op(e2,e4)
| e3 != op(e0,e1)
| op(e0,e4) = e1 ),
inference(resolve,[$cnf( $equal(e3,e4) )],[refute_0_471,refute_0_472]) ).
cnf(refute_0_474,plain,
op(e0,e1) != op(e0,e4),
inference(canonicalize,[],[normalize_0_71]) ).
cnf(refute_0_475,plain,
( e3 != op(e0,e4)
| op(e0,e1) != e3
| op(e0,e1) = op(e0,e4) ),
introduced(tautology,[equality,[$cnf( $equal(op(e0,e1),e3) ),[1],$fot(op(e0,e4))]]) ).
cnf(refute_0_476,plain,
( e3 != op(e0,e4)
| op(e0,e1) = e2
| op(e0,e1) = e4
| op(e0,e1) = op(e0,e4) ),
inference(resolve,[$cnf( $equal(op(e0,e1),e3) )],[refute_0_367,refute_0_475]) ).
cnf(refute_0_477,plain,
( e3 != op(e0,e4)
| op(e0,e1) = e2
| op(e0,e1) = e4 ),
inference(resolve,[$cnf( $equal(op(e0,e1),op(e0,e4)) )],[refute_0_476,refute_0_474]) ).
cnf(refute_0_478,plain,
( op(e0,e4) != e4
| op(op(e0,e4),e4) != e0
| op(e4,e4) = e0 ),
introduced(tautology,[equality,[$cnf( $equal(op(op(e0,e4),e4),e0) ),[0,0],$fot(e4)]]) ).
cnf(refute_0_479,plain,
( op(op(e0,e4),e4) != e0
| op(e0,e4) = e1
| op(e0,e4) = e2
| op(e0,e4) = e3
| op(e4,e4) = e0 ),
inference(resolve,[$cnf( $equal(op(e0,e4),e4) )],[refute_0_159,refute_0_478]) ).
cnf(refute_0_480,plain,
( op(e0,e4) = e1
| op(e0,e4) = e2
| op(e0,e4) = e3
| op(e4,e4) = e0 ),
inference(resolve,[$cnf( $equal(op(op(e0,e4),e4),e0) )],[refute_0_49,refute_0_479]) ).
cnf(refute_0_481,plain,
( op(op(e4,e4),op(e4,e4)) != e4
| op(e0,e4) = e1
| op(e0,e4) = e2
| op(e0,e4) = e3
| op(e0,op(e4,e4)) = e4 ),
inference(resolve,[$cnf( $equal(op(e4,e4),e0) )],[refute_0_480,refute_0_348]) ).
cnf(refute_0_482,plain,
( op(e0,e4) = e1
| op(e0,e4) = e2
| op(e0,e4) = e3
| op(e0,op(e4,e4)) = e4 ),
inference(resolve,[$cnf( $equal(op(op(e4,e4),op(e4,e4)),e4) )],[refute_0_345,refute_0_481]) ).
cnf(refute_0_483,plain,
( op(e0,op(e4,e4)) != e4
| op(e0,e0) = e4
| op(e0,e4) = e1
| op(e0,e4) = e2
| op(e0,e4) = e3 ),
inference(resolve,[$cnf( $equal(op(e4,e4),e0) )],[refute_0_480,refute_0_351]) ).
cnf(refute_0_484,plain,
( op(e0,e0) = e4
| op(e0,e4) = e1
| op(e0,e4) = e2
| op(e0,e4) = e3 ),
inference(resolve,[$cnf( $equal(op(e0,op(e4,e4)),e4) )],[refute_0_482,refute_0_483]) ).
cnf(refute_0_485,plain,
( e0 = e4
| op(e0,e4) = e1
| op(e0,e4) = e2
| op(e0,e4) = e3 ),
inference(resolve,[$cnf( $equal(op(e0,e0),e4) )],[refute_0_484,refute_0_177]) ).
cnf(refute_0_486,plain,
( op(e0,e4) = e1
| op(e0,e4) = e2
| op(e0,e4) = e3 ),
inference(resolve,[$cnf( $equal(e0,e4) )],[refute_0_485,refute_0_53]) ).
cnf(refute_0_487,plain,
( e3 != e3
| op(e0,e4) != e3
| e3 = op(e0,e4) ),
introduced(tautology,[equality,[$cnf( ~ $equal(e3,op(e0,e4)) ),[1],$fot(e3)]]) ).
cnf(refute_0_488,plain,
( e3 != e3
| e3 = op(e0,e4)
| op(e0,e4) = e1
| op(e0,e4) = e2 ),
inference(resolve,[$cnf( $equal(op(e0,e4),e3) )],[refute_0_486,refute_0_487]) ).
cnf(refute_0_489,plain,
( e3 != e3
| op(e0,e1) = e2
| op(e0,e1) = e4
| op(e0,e4) = e1
| op(e0,e4) = e2 ),
inference(resolve,[$cnf( $equal(e3,op(e0,e4)) )],[refute_0_488,refute_0_477]) ).
cnf(refute_0_490,plain,
( op(e0,e1) = e2
| op(e0,e1) = e4
| op(e0,e4) = e1
| op(e0,e4) = e2 ),
inference(resolve,[$cnf( $equal(e3,e3) )],[refute_0_11,refute_0_489]) ).
cnf(refute_0_491,plain,
( op(e0,e4) != e2
| op(op(e0,e4),e4) != e0
| op(e2,e4) = e0 ),
introduced(tautology,[equality,[$cnf( $equal(op(op(e0,e4),e4),e0) ),[0,0],$fot(e2)]]) ).
cnf(refute_0_492,plain,
( op(op(e0,e4),e4) != e0
| op(e0,e1) = e2
| op(e0,e1) = e4
| op(e0,e4) = e1
| op(e2,e4) = e0 ),
inference(resolve,[$cnf( $equal(op(e0,e4),e2) )],[refute_0_490,refute_0_491]) ).
cnf(refute_0_493,plain,
( op(e0,e1) = e2
| op(e0,e1) = e4
| op(e0,e4) = e1
| op(e2,e4) = e0 ),
inference(resolve,[$cnf( $equal(op(op(e0,e4),e4),e0) )],[refute_0_49,refute_0_492]) ).
cnf(refute_0_494,plain,
( e0 != e0
| op(e2,e4) != e0
| e0 = op(e2,e4) ),
introduced(tautology,[equality,[$cnf( ~ $equal(e0,op(e2,e4)) ),[1],$fot(e0)]]) ).
cnf(refute_0_495,plain,
( e0 != e0
| e0 = op(e2,e4)
| op(e0,e1) = e2
| op(e0,e1) = e4
| op(e0,e4) = e1 ),
inference(resolve,[$cnf( $equal(op(e2,e4),e0) )],[refute_0_493,refute_0_494]) ).
cnf(refute_0_496,plain,
( e0 != e0
| e3 != op(e0,e1)
| op(e0,e1) = e2
| op(e0,e1) = e4
| op(e0,e4) = e1 ),
inference(resolve,[$cnf( $equal(e0,op(e2,e4)) )],[refute_0_495,refute_0_473]) ).
cnf(refute_0_497,plain,
( e3 != op(e0,e1)
| op(e0,e1) = e2
| op(e0,e1) = e4
| op(e0,e4) = e1 ),
inference(resolve,[$cnf( $equal(e0,e0) )],[refute_0_323,refute_0_496]) ).
cnf(refute_0_498,plain,
( e3 != op(e0,e1)
| e3 = e2
| op(e0,e1) = e4
| op(e0,e4) = e1 ),
inference(resolve,[$cnf( $equal(op(e0,e1),e2) )],[refute_0_497,refute_0_463]) ).
cnf(refute_0_499,plain,
( e3 != op(e0,e1)
| e3 = e2
| e3 = e4
| op(e0,e4) = e1 ),
inference(resolve,[$cnf( $equal(op(e0,e1),e4) )],[refute_0_498,refute_0_466]) ).
cnf(refute_0_500,plain,
( e3 != op(e0,e1)
| e3 = e4
| op(e0,e4) = e1 ),
inference(resolve,[$cnf( $equal(e3,e2) )],[refute_0_499,refute_0_470]) ).
cnf(refute_0_501,plain,
( e3 != op(e0,e1)
| op(e0,e4) = e1 ),
inference(resolve,[$cnf( $equal(e3,e4) )],[refute_0_500,refute_0_472]) ).
cnf(refute_0_502,plain,
( e3 != e3
| op(e0,e1) != e3
| e3 = op(e0,e1) ),
introduced(tautology,[equality,[$cnf( ~ $equal(e3,op(e0,e1)) ),[1],$fot(e3)]]) ).
cnf(refute_0_503,plain,
( e3 != e3
| e3 = op(e0,e1)
| op(e0,e1) = e2
| op(e0,e1) = e4 ),
inference(resolve,[$cnf( $equal(op(e0,e1),e3) )],[refute_0_367,refute_0_502]) ).
cnf(refute_0_504,plain,
( e3 != e3
| op(e0,e1) = e2
| op(e0,e1) = e4
| op(e0,e4) = e1 ),
inference(resolve,[$cnf( $equal(e3,op(e0,e1)) )],[refute_0_503,refute_0_501]) ).
cnf(refute_0_505,plain,
( op(e0,e1) = e2
| op(e0,e1) = e4
| op(e0,e4) = e1 ),
inference(resolve,[$cnf( $equal(e3,e3) )],[refute_0_11,refute_0_504]) ).
cnf(refute_0_506,plain,
( op(e0,e4) != e1
| op(e0,e4) != e2
| e1 = e2 ),
introduced(tautology,[equality,[$cnf( $equal(op(e0,e4),e2) ),[0],$fot(e1)]]) ).
cnf(refute_0_507,plain,
( op(e0,e4) != e2
| e1 = e2
| op(e0,e1) = e2
| op(e0,e1) = e4 ),
inference(resolve,[$cnf( $equal(op(e0,e4),e1) )],[refute_0_505,refute_0_506]) ).
cnf(refute_0_508,plain,
( e1 = e2
| op(e0,e1) = e2
| op(e0,e1) = e4
| op(e0,e2) = e4 ),
inference(resolve,[$cnf( $equal(op(e0,e4),e2) )],[refute_0_399,refute_0_507]) ).
cnf(refute_0_509,plain,
( op(e0,e1) = e2
| op(e0,e1) = e4
| op(e0,e2) = e4 ),
inference(resolve,[$cnf( $equal(e1,e2) )],[refute_0_508,refute_0_286]) ).
cnf(refute_0_510,plain,
( op(e0,e2) != e4
| op(op(e0,e2),e2) != e0
| op(e4,e2) = e0 ),
introduced(tautology,[equality,[$cnf( $equal(op(op(e0,e2),e2),e0) ),[0,0],$fot(e4)]]) ).
cnf(refute_0_511,plain,
( op(op(e0,e2),e2) != e0
| op(e0,e1) = e2
| op(e0,e1) = e4
| op(e4,e2) = e0 ),
inference(resolve,[$cnf( $equal(op(e0,e2),e4) )],[refute_0_509,refute_0_510]) ).
cnf(refute_0_512,plain,
( op(e0,e1) = e2
| op(e0,e1) = e4
| op(e4,e2) = e0 ),
inference(resolve,[$cnf( $equal(op(op(e0,e2),e2),e0) )],[refute_0_90,refute_0_511]) ).
cnf(refute_0_513,plain,
( e0 != e0
| op(e4,e2) != e0
| e0 = op(e4,e2) ),
introduced(tautology,[equality,[$cnf( ~ $equal(e0,op(e4,e2)) ),[1],$fot(e0)]]) ).
cnf(refute_0_514,plain,
( e0 != e0
| e0 = op(e4,e2)
| op(e0,e1) = e2
| op(e0,e1) = e4 ),
inference(resolve,[$cnf( $equal(op(e4,e2),e0) )],[refute_0_512,refute_0_513]) ).
cnf(refute_0_515,plain,
( e0 != e0
| e1 != op(e2,e0)
| e3 != op(e0,e1)
| op(e0,e1) = e2
| op(e0,e1) = e4 ),
inference(resolve,[$cnf( $equal(e0,op(e4,e2)) )],[refute_0_514,refute_0_342]) ).
cnf(refute_0_516,plain,
( e1 != op(e2,e0)
| e3 != op(e0,e1)
| op(e0,e1) = e2
| op(e0,e1) = e4 ),
inference(resolve,[$cnf( $equal(e0,e0) )],[refute_0_323,refute_0_515]) ).
cnf(refute_0_517,plain,
( e1 != op(e2,e0)
| e3 != op(e0,e1)
| e3 = e2
| op(e0,e1) = e4 ),
inference(resolve,[$cnf( $equal(op(e0,e1),e2) )],[refute_0_516,refute_0_463]) ).
cnf(refute_0_518,plain,
( e1 != op(e2,e0)
| e3 != op(e0,e1)
| e3 = e2
| e3 = e4 ),
inference(resolve,[$cnf( $equal(op(e0,e1),e4) )],[refute_0_517,refute_0_466]) ).
cnf(refute_0_519,plain,
( e1 != op(e2,e0)
| e3 != op(e0,e1)
| e3 = e4 ),
inference(resolve,[$cnf( $equal(e3,e2) )],[refute_0_518,refute_0_470]) ).
cnf(refute_0_520,plain,
( e1 != op(e2,e0)
| e3 != op(e0,e1) ),
inference(resolve,[$cnf( $equal(e3,e4) )],[refute_0_519,refute_0_472]) ).
cnf(refute_0_521,plain,
( op(e0,e4) != e1
| op(op(e0,e4),op(e4,e0)) != e4
| op(e1,op(e4,e0)) = e4 ),
introduced(tautology,[equality,[$cnf( $equal(op(op(e0,e4),op(e4,e0)),e4) ),[0,0],$fot(e1)]]) ).
cnf(refute_0_522,plain,
( op(op(e0,e4),op(e4,e0)) != e4
| op(e0,e1) = e2
| op(e0,e1) = e4
| op(e1,op(e4,e0)) = e4 ),
inference(resolve,[$cnf( $equal(op(e0,e4),e1) )],[refute_0_505,refute_0_521]) ).
cnf(refute_0_523,plain,
( op(e0,e1) = e2
| op(e0,e1) = e4
| op(e1,op(e4,e0)) = e4 ),
inference(resolve,[$cnf( $equal(op(op(e0,e4),op(e4,e0)),e4) )],[refute_0_41,refute_0_522]) ).
cnf(refute_0_524,plain,
op(e2,e0) != op(e4,e0),
inference(canonicalize,[],[normalize_0_72]) ).
cnf(refute_0_525,plain,
( op(e4,e0) != e2
| op(op(e4,e0),e0) != e4
| op(e2,e0) = e4 ),
introduced(tautology,[equality,[$cnf( $equal(op(op(e4,e0),e0),e4) ),[0,0],$fot(e2)]]) ).
cnf(refute_0_526,plain,
( op(op(e4,e0),e0) != e4
| op(e2,e0) = e4
| op(e4,e0) = e1
| op(e4,e0) = e3 ),
inference(resolve,[$cnf( $equal(op(e4,e0),e2) )],[refute_0_179,refute_0_525]) ).
cnf(refute_0_527,plain,
( op(e2,e0) = e4
| op(e4,e0) = e1
| op(e4,e0) = e3 ),
inference(resolve,[$cnf( $equal(op(op(e4,e0),e0),e4) )],[refute_0_40,refute_0_526]) ).
cnf(refute_0_528,plain,
( op(e2,e0) != e3
| op(e4,e0) != e3
| op(e2,e0) = op(e4,e0) ),
introduced(tautology,[equality,[$cnf( ~ $equal(op(e2,e0),op(e4,e0)) ),[1],$fot(e3)]]) ).
cnf(refute_0_529,plain,
( op(e2,e0) != e3
| op(e2,e0) = e4
| op(e2,e0) = op(e4,e0)
| op(e4,e0) = e1 ),
inference(resolve,[$cnf( $equal(op(e4,e0),e3) )],[refute_0_527,refute_0_528]) ).
cnf(refute_0_530,plain,
( op(e2,e0) != e3
| op(e2,e0) = e4
| op(e4,e0) = e1 ),
inference(resolve,[$cnf( $equal(op(e2,e0),op(e4,e0)) )],[refute_0_529,refute_0_524]) ).
cnf(refute_0_531,plain,
( op(e2,e0) != e3
| op(e2,e0) != e4
| e3 = e4 ),
introduced(tautology,[equality,[$cnf( $equal(op(e2,e0),e4) ),[0],$fot(e3)]]) ).
cnf(refute_0_532,plain,
( op(e2,e0) != e3
| e3 = e4
| op(e4,e0) = e1 ),
inference(resolve,[$cnf( $equal(op(e2,e0),e4) )],[refute_0_530,refute_0_531]) ).
cnf(refute_0_533,plain,
( op(e2,e0) != e3
| op(e4,e0) = e1 ),
inference(resolve,[$cnf( $equal(e3,e4) )],[refute_0_532,refute_0_472]) ).
cnf(refute_0_534,plain,
op(e2,e0) != op(e2,e1),
inference(canonicalize,[],[normalize_0_73]) ).
cnf(refute_0_535,plain,
op(op(e0,e2),op(e2,e0)) = e2,
inference(canonicalize,[],[normalize_0_74]) ).
cnf(refute_0_536,plain,
( op(e2,e0) = e0
| op(e2,e0) = e1
| op(e2,e0) = e2
| op(e2,e0) = e3
| op(e2,e0) = e4 ),
inference(canonicalize,[],[normalize_0_75]) ).
cnf(refute_0_537,plain,
( op(e2,e0) != e0
| op(op(e2,e0),e0) != e2
| op(e0,e0) = e2 ),
introduced(tautology,[equality,[$cnf( $equal(op(op(e2,e0),e0),e2) ),[0,0],$fot(e0)]]) ).
cnf(refute_0_538,plain,
( op(op(e2,e0),e0) != e2
| op(e0,e0) = e2
| op(e2,e0) = e1
| op(e2,e0) = e2
| op(e2,e0) = e3
| op(e2,e0) = e4 ),
inference(resolve,[$cnf( $equal(op(e2,e0),e0) )],[refute_0_536,refute_0_537]) ).
cnf(refute_0_539,plain,
( op(e0,e0) = e2
| op(e2,e0) = e1
| op(e2,e0) = e2
| op(e2,e0) = e3
| op(e2,e0) = e4 ),
inference(resolve,[$cnf( $equal(op(op(e2,e0),e0),e2) )],[refute_0_96,refute_0_538]) ).
cnf(refute_0_540,plain,
( op(e2,e0) != e2
| op(op(e0,e2),op(e2,e0)) != e2
| op(op(e0,e2),e2) = e2 ),
introduced(tautology,[equality,[$cnf( $equal(op(op(e0,e2),op(e2,e0)),e2) ),[0,1],$fot(e2)]]) ).
cnf(refute_0_541,plain,
( op(op(e0,e2),op(e2,e0)) != e2
| op(e0,e0) = e2
| op(e2,e0) = e1
| op(e2,e0) = e3
| op(e2,e0) = e4
| op(op(e0,e2),e2) = e2 ),
inference(resolve,[$cnf( $equal(op(e2,e0),e2) )],[refute_0_539,refute_0_540]) ).
cnf(refute_0_542,plain,
( op(e0,e0) = e2
| op(e2,e0) = e1
| op(e2,e0) = e3
| op(e2,e0) = e4
| op(op(e0,e2),e2) = e2 ),
inference(resolve,[$cnf( $equal(op(op(e0,e2),op(e2,e0)),e2) )],[refute_0_535,refute_0_541]) ).
cnf(refute_0_543,plain,
( op(op(e0,e2),e2) != e0
| op(op(e0,e2),e2) != e2
| e0 = e2 ),
introduced(tautology,[equality,[$cnf( $equal(op(op(e0,e2),e2),e2) ),[0],$fot(e0)]]) ).
cnf(refute_0_544,plain,
( op(op(e0,e2),e2) != e2
| e0 = e2 ),
inference(resolve,[$cnf( $equal(op(op(e0,e2),e2),e0) )],[refute_0_90,refute_0_543]) ).
cnf(refute_0_545,plain,
( e0 = e2
| op(e0,e0) = e2
| op(e2,e0) = e1
| op(e2,e0) = e3
| op(e2,e0) = e4 ),
inference(resolve,[$cnf( $equal(op(op(e0,e2),e2),e2) )],[refute_0_542,refute_0_544]) ).
cnf(refute_0_546,plain,
( op(e0,e0) = e2
| op(e2,e0) = e1
| op(e2,e0) = e3
| op(e2,e0) = e4 ),
inference(resolve,[$cnf( $equal(e0,e2) )],[refute_0_545,refute_0_83]) ).
cnf(refute_0_547,plain,
( e4 != op(e2,e1)
| op(e2,e0) != e4
| op(e2,e0) = op(e2,e1) ),
introduced(tautology,[equality,[$cnf( $equal(op(e2,e0),e4) ),[1],$fot(op(e2,e1))]]) ).
cnf(refute_0_548,plain,
( e4 != op(e2,e1)
| op(e0,e0) = e2
| op(e2,e0) = e1
| op(e2,e0) = e3
| op(e2,e0) = op(e2,e1) ),
inference(resolve,[$cnf( $equal(op(e2,e0),e4) )],[refute_0_546,refute_0_547]) ).
cnf(refute_0_549,plain,
( e4 != op(e2,e1)
| op(e0,e0) = e2
| op(e2,e0) = e1
| op(e2,e0) = e3 ),
inference(resolve,[$cnf( $equal(op(e2,e0),op(e2,e1)) )],[refute_0_548,refute_0_534]) ).
cnf(refute_0_550,plain,
( op(e0,e0) != e0
| op(e0,e0) != e2
| e0 = e2 ),
introduced(tautology,[equality,[$cnf( $equal(op(e0,e0),e2) ),[0],$fot(e0)]]) ).
cnf(refute_0_551,plain,
( op(e0,e0) != e2
| e0 = e2 ),
inference(resolve,[$cnf( $equal(op(e0,e0),e0) )],[refute_0_175,refute_0_550]) ).
cnf(refute_0_552,plain,
( e4 != op(e2,e1)
| e0 = e2
| op(e2,e0) = e1
| op(e2,e0) = e3 ),
inference(resolve,[$cnf( $equal(op(e0,e0),e2) )],[refute_0_549,refute_0_551]) ).
cnf(refute_0_553,plain,
( e4 != op(e2,e1)
| op(e2,e0) = e1
| op(e2,e0) = e3 ),
inference(resolve,[$cnf( $equal(e0,e2) )],[refute_0_552,refute_0_83]) ).
cnf(refute_0_554,plain,
( e4 != e4
| op(e2,e1) != e4
| e4 = op(e2,e1) ),
introduced(tautology,[equality,[$cnf( ~ $equal(e4,op(e2,e1)) ),[1],$fot(e4)]]) ).
cnf(refute_0_555,plain,
( e4 != e4
| e4 = op(e2,e1)
| op(e0,e1) = e2
| op(e0,e1) = e4 ),
inference(resolve,[$cnf( $equal(op(e2,e1),e4) )],[refute_0_393,refute_0_554]) ).
cnf(refute_0_556,plain,
( e4 != e4
| op(e0,e1) = e2
| op(e0,e1) = e4
| op(e2,e0) = e1
| op(e2,e0) = e3 ),
inference(resolve,[$cnf( $equal(e4,op(e2,e1)) )],[refute_0_555,refute_0_553]) ).
cnf(refute_0_557,plain,
( op(e0,e1) = e2
| op(e0,e1) = e4
| op(e2,e0) = e1
| op(e2,e0) = e3 ),
inference(resolve,[$cnf( $equal(e4,e4) )],[refute_0_1,refute_0_556]) ).
cnf(refute_0_558,plain,
( e3 != e3
| op(e2,e0) != e3
| op(e2,e0) = e3 ),
introduced(tautology,[equality,[$cnf( $equal(op(e2,e0),e3) ),[1],$fot(e3)]]) ).
cnf(refute_0_559,plain,
( e3 != e3
| op(e0,e1) = e2
| op(e0,e1) = e4
| op(e2,e0) = e1
| op(e2,e0) = e3 ),
inference(resolve,[$cnf( $equal(op(e2,e0),e3) )],[refute_0_557,refute_0_558]) ).
cnf(refute_0_560,plain,
( e3 != e3
| op(e0,e1) = e2
| op(e0,e1) = e4
| op(e2,e0) = e1
| op(e4,e0) = e1 ),
inference(resolve,[$cnf( $equal(op(e2,e0),e3) )],[refute_0_559,refute_0_533]) ).
cnf(refute_0_561,plain,
( op(e0,e1) = e2
| op(e0,e1) = e4
| op(e2,e0) = e1
| op(e4,e0) = e1 ),
inference(resolve,[$cnf( $equal(e3,e3) )],[refute_0_11,refute_0_560]) ).
cnf(refute_0_562,plain,
( op(e1,op(e4,e0)) != e4
| op(e4,e0) != e1
| op(e1,e1) = e4 ),
introduced(tautology,[equality,[$cnf( $equal(op(e1,op(e4,e0)),e4) ),[0,1],$fot(e1)]]) ).
cnf(refute_0_563,plain,
( op(e1,op(e4,e0)) != e4
| op(e0,e1) = e2
| op(e0,e1) = e4
| op(e1,e1) = e4
| op(e2,e0) = e1 ),
inference(resolve,[$cnf( $equal(op(e4,e0),e1) )],[refute_0_561,refute_0_562]) ).
cnf(refute_0_564,plain,
( op(e0,e1) = e2
| op(e0,e1) = e4
| op(e1,e1) = e4
| op(e2,e0) = e1 ),
inference(resolve,[$cnf( $equal(op(e1,op(e4,e0)),e4) )],[refute_0_523,refute_0_563]) ).
cnf(refute_0_565,plain,
( e1 = e4
| op(e0,e1) = e2
| op(e0,e1) = e4
| op(e2,e0) = e1 ),
inference(resolve,[$cnf( $equal(op(e1,e1),e4) )],[refute_0_564,refute_0_387]) ).
cnf(refute_0_566,plain,
( op(e0,e1) = e2
| op(e0,e1) = e4
| op(e2,e0) = e1 ),
inference(resolve,[$cnf( $equal(e1,e4) )],[refute_0_565,refute_0_253]) ).
cnf(refute_0_567,plain,
( e1 != e1
| op(e2,e0) != e1
| e1 = op(e2,e0) ),
introduced(tautology,[equality,[$cnf( ~ $equal(e1,op(e2,e0)) ),[1],$fot(e1)]]) ).
cnf(refute_0_568,plain,
( e1 != e1
| e1 = op(e2,e0)
| op(e0,e1) = e2
| op(e0,e1) = e4 ),
inference(resolve,[$cnf( $equal(op(e2,e0),e1) )],[refute_0_566,refute_0_567]) ).
cnf(refute_0_569,plain,
( e1 != e1
| e3 != op(e0,e1)
| op(e0,e1) = e2
| op(e0,e1) = e4 ),
inference(resolve,[$cnf( $equal(e1,op(e2,e0)) )],[refute_0_568,refute_0_520]) ).
cnf(refute_0_570,plain,
( e3 != op(e0,e1)
| op(e0,e1) = e2
| op(e0,e1) = e4 ),
inference(resolve,[$cnf( $equal(e1,e1) )],[refute_0_297,refute_0_569]) ).
cnf(refute_0_571,plain,
( e3 != op(e0,e1)
| e3 = e2
| op(e0,e1) = e4 ),
inference(resolve,[$cnf( $equal(op(e0,e1),e2) )],[refute_0_570,refute_0_463]) ).
cnf(refute_0_572,plain,
( e3 != op(e0,e1)
| e3 = e2
| e3 = e4 ),
inference(resolve,[$cnf( $equal(op(e0,e1),e4) )],[refute_0_571,refute_0_466]) ).
cnf(refute_0_573,plain,
( e3 != op(e0,e1)
| e3 = e4 ),
inference(resolve,[$cnf( $equal(e3,e2) )],[refute_0_572,refute_0_470]) ).
cnf(refute_0_574,plain,
e3 != op(e0,e1),
inference(resolve,[$cnf( $equal(e3,e4) )],[refute_0_573,refute_0_472]) ).
cnf(refute_0_575,plain,
( e3 != e3
| op(e0,e1) = e2
| op(e0,e1) = e4 ),
inference(resolve,[$cnf( $equal(e3,op(e0,e1)) )],[refute_0_503,refute_0_574]) ).
cnf(refute_0_576,plain,
( op(e0,e1) = e2
| op(e0,e1) = e4 ),
inference(resolve,[$cnf( $equal(e3,e3) )],[refute_0_11,refute_0_575]) ).
cnf(refute_0_577,plain,
( e2 != e2
| op(e0,e1) != e2
| op(e0,e1) = e2 ),
introduced(tautology,[equality,[$cnf( $equal(op(e0,e1),e2) ),[1],$fot(e2)]]) ).
cnf(refute_0_578,plain,
( e2 != e2
| op(e0,e1) = e2
| op(e0,e1) = e4 ),
inference(resolve,[$cnf( $equal(op(e0,e1),e2) )],[refute_0_576,refute_0_577]) ).
cnf(refute_0_579,plain,
( e2 != e2
| op(e0,e1) = e4
| op(e4,e1) = e3 ),
inference(resolve,[$cnf( $equal(op(e0,e1),e2) )],[refute_0_578,refute_0_315]) ).
cnf(refute_0_580,plain,
( op(e0,e1) = e4
| op(e4,e1) = e3 ),
inference(resolve,[$cnf( $equal(e2,e2) )],[refute_0_212,refute_0_579]) ).
cnf(refute_0_581,plain,
( e3 != e3
| op(e4,e1) != e3
| e3 = op(e4,e1) ),
introduced(tautology,[equality,[$cnf( ~ $equal(e3,op(e4,e1)) ),[1],$fot(e3)]]) ).
cnf(refute_0_582,plain,
( e3 != e3
| e3 = op(e4,e1)
| op(e0,e1) = e4 ),
inference(resolve,[$cnf( $equal(op(e4,e1),e3) )],[refute_0_580,refute_0_581]) ).
cnf(refute_0_583,plain,
( e3 != e3
| op(e0,e1) = e4
| op(e1,e0) = e4
| op(e3,e0) = e1 ),
inference(resolve,[$cnf( $equal(e3,op(e4,e1)) )],[refute_0_582,refute_0_219]) ).
cnf(refute_0_584,plain,
( op(e0,e1) = e4
| op(e1,e0) = e4
| op(e3,e0) = e1 ),
inference(resolve,[$cnf( $equal(e3,e3) )],[refute_0_11,refute_0_583]) ).
cnf(refute_0_585,plain,
op(op(e1,e2),op(e2,e1)) = e2,
inference(canonicalize,[],[normalize_0_76]) ).
cnf(refute_0_586,plain,
( op(e0,e1) != e2
| op(op(e0,e1),e1) != e0
| op(e2,e1) = e0 ),
introduced(tautology,[equality,[$cnf( $equal(op(op(e0,e1),e1),e0) ),[0,0],$fot(e2)]]) ).
cnf(refute_0_587,plain,
( op(op(e0,e1),e1) != e0
| op(e0,e1) = e4
| op(e2,e1) = e0 ),
inference(resolve,[$cnf( $equal(op(e0,e1),e2) )],[refute_0_576,refute_0_586]) ).
cnf(refute_0_588,plain,
( op(e0,e1) = e4
| op(e2,e1) = e0 ),
inference(resolve,[$cnf( $equal(op(op(e0,e1),e1),e0) )],[refute_0_57,refute_0_587]) ).
cnf(refute_0_589,plain,
( op(e2,e1) != e0
| op(op(e1,e2),op(e2,e1)) != e2
| op(op(e1,e2),e0) = e2 ),
introduced(tautology,[equality,[$cnf( $equal(op(op(e1,e2),op(e2,e1)),e2) ),[0,1],$fot(e0)]]) ).
cnf(refute_0_590,plain,
( op(op(e1,e2),op(e2,e1)) != e2
| op(e0,e1) = e4
| op(op(e1,e2),e0) = e2 ),
inference(resolve,[$cnf( $equal(op(e2,e1),e0) )],[refute_0_588,refute_0_589]) ).
cnf(refute_0_591,plain,
( op(e0,e1) = e4
| op(op(e1,e2),e0) = e2 ),
inference(resolve,[$cnf( $equal(op(op(e1,e2),op(e2,e1)),e2) )],[refute_0_585,refute_0_590]) ).
cnf(refute_0_592,plain,
op(op(e1,e2),e2) = e1,
inference(canonicalize,[],[normalize_0_77]) ).
cnf(refute_0_593,plain,
op(e1,e2) != op(e2,e2),
inference(canonicalize,[],[normalize_0_78]) ).
cnf(refute_0_594,plain,
op(op(e3,e2),op(e2,e3)) = e2,
inference(canonicalize,[],[normalize_0_79]) ).
cnf(refute_0_595,plain,
op(op(e4,e2),op(e2,e4)) = e2,
inference(canonicalize,[],[normalize_0_80]) ).
cnf(refute_0_596,plain,
( op(e2,e0) = e2
| op(e2,e1) = e2
| op(e2,e2) = e2
| op(e2,e3) = e2
| op(e2,e4) = e2 ),
inference(canonicalize,[],[normalize_0_81]) ).
cnf(refute_0_597,plain,
op(e2,e0) != op(e3,e0),
inference(canonicalize,[],[normalize_0_82]) ).
cnf(refute_0_598,plain,
( op(e2,e0) != e3
| op(op(e2,e0),e0) != e2
| op(e3,e0) = e2 ),
introduced(tautology,[equality,[$cnf( $equal(op(op(e2,e0),e0),e2) ),[0,0],$fot(e3)]]) ).
cnf(refute_0_599,plain,
( op(op(e2,e0),e0) != e2
| op(e0,e0) = e2
| op(e2,e0) = e1
| op(e2,e0) = e4
| op(e3,e0) = e2 ),
inference(resolve,[$cnf( $equal(op(e2,e0),e3) )],[refute_0_546,refute_0_598]) ).
cnf(refute_0_600,plain,
( op(e0,e0) = e2
| op(e2,e0) = e1
| op(e2,e0) = e4
| op(e3,e0) = e2 ),
inference(resolve,[$cnf( $equal(op(op(e2,e0),e0),e2) )],[refute_0_96,refute_0_599]) ).
cnf(refute_0_601,plain,
( op(e2,e0) != e2
| op(e3,e0) != e2
| op(e2,e0) = op(e3,e0) ),
introduced(tautology,[equality,[$cnf( ~ $equal(op(e2,e0),op(e3,e0)) ),[1],$fot(e2)]]) ).
cnf(refute_0_602,plain,
( op(e2,e0) != e2
| op(e0,e0) = e2
| op(e2,e0) = e1
| op(e2,e0) = e4
| op(e2,e0) = op(e3,e0) ),
inference(resolve,[$cnf( $equal(op(e3,e0),e2) )],[refute_0_600,refute_0_601]) ).
cnf(refute_0_603,plain,
( op(e2,e0) != e2
| op(e0,e0) = e2
| op(e2,e0) = e1
| op(e2,e0) = e4 ),
inference(resolve,[$cnf( $equal(op(e2,e0),op(e3,e0)) )],[refute_0_602,refute_0_597]) ).
cnf(refute_0_604,plain,
( op(e2,e0) != e1
| op(e2,e0) != e2
| e2 = e1 ),
introduced(tautology,[equality,[$cnf( $equal(op(e2,e0),e1) ),[0],$fot(e2)]]) ).
cnf(refute_0_605,plain,
( op(e2,e0) != e2
| e2 = e1
| op(e0,e0) = e2
| op(e2,e0) = e4 ),
inference(resolve,[$cnf( $equal(op(e2,e0),e1) )],[refute_0_603,refute_0_604]) ).
cnf(refute_0_606,plain,
( op(e2,e0) != e2
| op(e2,e0) != e4
| e2 = e4 ),
introduced(tautology,[equality,[$cnf( $equal(op(e2,e0),e4) ),[0],$fot(e2)]]) ).
cnf(refute_0_607,plain,
( op(e2,e0) != e2
| e2 = e1
| e2 = e4
| op(e0,e0) = e2 ),
inference(resolve,[$cnf( $equal(op(e2,e0),e4) )],[refute_0_605,refute_0_606]) ).
cnf(refute_0_608,plain,
( op(e2,e0) != e2
| e2 = e4
| op(e0,e0) = e2 ),
inference(resolve,[$cnf( $equal(e2,e1) )],[refute_0_607,refute_0_288]) ).
cnf(refute_0_609,plain,
( op(e2,e0) != e2
| op(e0,e0) = e2 ),
inference(resolve,[$cnf( $equal(e2,e4) )],[refute_0_608,refute_0_191]) ).
cnf(refute_0_610,plain,
( op(e2,e0) != e2
| e0 = e2 ),
inference(resolve,[$cnf( $equal(op(e0,e0),e2) )],[refute_0_609,refute_0_551]) ).
cnf(refute_0_611,plain,
op(e2,e0) != e2,
inference(resolve,[$cnf( $equal(e0,e2) )],[refute_0_610,refute_0_83]) ).
cnf(refute_0_612,plain,
( op(e2,e1) = e2
| op(e2,e2) = e2
| op(e2,e3) = e2
| op(e2,e4) = e2 ),
inference(resolve,[$cnf( $equal(op(e2,e0),e2) )],[refute_0_596,refute_0_611]) ).
cnf(refute_0_613,plain,
( op(e2,e4) != e2
| op(op(e4,e2),op(e2,e4)) != e2
| op(op(e4,e2),e2) = e2 ),
introduced(tautology,[equality,[$cnf( $equal(op(op(e4,e2),op(e2,e4)),e2) ),[0,1],$fot(e2)]]) ).
cnf(refute_0_614,plain,
( op(op(e4,e2),op(e2,e4)) != e2
| op(e2,e1) = e2
| op(e2,e2) = e2
| op(e2,e3) = e2
| op(op(e4,e2),e2) = e2 ),
inference(resolve,[$cnf( $equal(op(e2,e4),e2) )],[refute_0_612,refute_0_613]) ).
cnf(refute_0_615,plain,
( op(e2,e1) = e2
| op(e2,e2) = e2
| op(e2,e3) = e2
| op(op(e4,e2),e2) = e2 ),
inference(resolve,[$cnf( $equal(op(op(e4,e2),op(e2,e4)),e2) )],[refute_0_595,refute_0_614]) ).
cnf(refute_0_616,plain,
op(op(e4,e2),e2) = e4,
inference(canonicalize,[],[normalize_0_83]) ).
cnf(refute_0_617,plain,
( op(op(e4,e2),e2) != e2
| op(op(e4,e2),e2) != e4
| e4 = e2 ),
introduced(tautology,[equality,[$cnf( $equal(op(op(e4,e2),e2),e2) ),[0],$fot(e4)]]) ).
cnf(refute_0_618,plain,
( op(op(e4,e2),e2) != e2
| e4 = e2 ),
inference(resolve,[$cnf( $equal(op(op(e4,e2),e2),e4) )],[refute_0_616,refute_0_617]) ).
cnf(refute_0_619,plain,
( e4 = e2
| op(e2,e1) = e2
| op(e2,e2) = e2
| op(e2,e3) = e2 ),
inference(resolve,[$cnf( $equal(op(op(e4,e2),e2),e2) )],[refute_0_615,refute_0_618]) ).
cnf(refute_0_620,plain,
( e4 != e2
| e2 = e4 ),
inference(subst,[],[refute_0_16:[bind(X,$fot(e4)),bind(Y,$fot(e2))]]) ).
cnf(refute_0_621,plain,
e4 != e2,
inference(resolve,[$cnf( $equal(e2,e4) )],[refute_0_620,refute_0_191]) ).
cnf(refute_0_622,plain,
( op(e2,e1) = e2
| op(e2,e2) = e2
| op(e2,e3) = e2 ),
inference(resolve,[$cnf( $equal(e4,e2) )],[refute_0_619,refute_0_621]) ).
cnf(refute_0_623,plain,
( op(e2,e3) != e2
| op(op(e3,e2),op(e2,e3)) != e2
| op(op(e3,e2),e2) = e2 ),
introduced(tautology,[equality,[$cnf( $equal(op(op(e3,e2),op(e2,e3)),e2) ),[0,1],$fot(e2)]]) ).
cnf(refute_0_624,plain,
( op(op(e3,e2),op(e2,e3)) != e2
| op(e2,e1) = e2
| op(e2,e2) = e2
| op(op(e3,e2),e2) = e2 ),
inference(resolve,[$cnf( $equal(op(e2,e3),e2) )],[refute_0_622,refute_0_623]) ).
cnf(refute_0_625,plain,
( op(e2,e1) = e2
| op(e2,e2) = e2
| op(op(e3,e2),e2) = e2 ),
inference(resolve,[$cnf( $equal(op(op(e3,e2),op(e2,e3)),e2) )],[refute_0_594,refute_0_624]) ).
cnf(refute_0_626,plain,
op(op(e3,e2),e2) = e3,
inference(canonicalize,[],[normalize_0_84]) ).
cnf(refute_0_627,plain,
( op(op(e3,e2),e2) != e2
| op(op(e3,e2),e2) != e3
| e3 = e2 ),
introduced(tautology,[equality,[$cnf( $equal(op(op(e3,e2),e2),e2) ),[0],$fot(e3)]]) ).
cnf(refute_0_628,plain,
( op(op(e3,e2),e2) != e2
| e3 = e2 ),
inference(resolve,[$cnf( $equal(op(op(e3,e2),e2),e3) )],[refute_0_626,refute_0_627]) ).
cnf(refute_0_629,plain,
( e3 = e2
| op(e2,e1) = e2
| op(e2,e2) = e2 ),
inference(resolve,[$cnf( $equal(op(op(e3,e2),e2),e2) )],[refute_0_625,refute_0_628]) ).
cnf(refute_0_630,plain,
( op(e2,e1) = e2
| op(e2,e2) = e2 ),
inference(resolve,[$cnf( $equal(e3,e2) )],[refute_0_629,refute_0_470]) ).
cnf(refute_0_631,plain,
( op(e1,e2) != e2
| op(e2,e2) != e2
| op(e1,e2) = op(e2,e2) ),
introduced(tautology,[equality,[$cnf( ~ $equal(op(e1,e2),op(e2,e2)) ),[1],$fot(e2)]]) ).
cnf(refute_0_632,plain,
( op(e1,e2) != e2
| op(e1,e2) = op(e2,e2)
| op(e2,e1) = e2 ),
inference(resolve,[$cnf( $equal(op(e2,e2),e2) )],[refute_0_630,refute_0_631]) ).
cnf(refute_0_633,plain,
( op(e1,e2) != e2
| op(e2,e1) = e2 ),
inference(resolve,[$cnf( $equal(op(e1,e2),op(e2,e2)) )],[refute_0_632,refute_0_593]) ).
cnf(refute_0_634,plain,
( op(e1,e2) = e0
| op(e1,e2) = e1
| op(e1,e2) = e2
| op(e1,e2) = e3
| op(e1,e2) = e4 ),
inference(canonicalize,[],[normalize_0_85]) ).
cnf(refute_0_635,plain,
( e2 != e2
| op(e1,e2) != e2
| op(e1,e2) = e2 ),
introduced(tautology,[equality,[$cnf( $equal(op(e1,e2),e2) ),[0,1],$fot(e2)]]) ).
cnf(refute_0_636,plain,
( e2 != e2
| op(e1,e2) = e0
| op(e1,e2) = e1
| op(e1,e2) = e2
| op(e1,e2) = e3
| op(e1,e2) = e4 ),
inference(resolve,[$cnf( $equal(op(e1,e2),e2) )],[refute_0_634,refute_0_635]) ).
cnf(refute_0_637,plain,
( e2 != e2
| op(e1,e2) = e0
| op(e1,e2) = e1
| op(e1,e2) = e3
| op(e1,e2) = e4
| op(e2,e1) = e2 ),
inference(resolve,[$cnf( $equal(op(e1,e2),e2) )],[refute_0_636,refute_0_633]) ).
cnf(refute_0_638,plain,
( op(e1,e2) = e0
| op(e1,e2) = e1
| op(e1,e2) = e3
| op(e1,e2) = e4
| op(e2,e1) = e2 ),
inference(resolve,[$cnf( $equal(e2,e2) )],[refute_0_212,refute_0_637]) ).
cnf(refute_0_639,plain,
op(e1,e1) != op(e1,e2),
inference(canonicalize,[],[normalize_0_86]) ).
cnf(refute_0_640,plain,
( e1 != op(e1,e2)
| op(e1,e1) != e1
| op(e1,e1) = op(e1,e2) ),
introduced(tautology,[equality,[$cnf( $equal(op(e1,e1),e1) ),[1],$fot(op(e1,e2))]]) ).
cnf(refute_0_641,plain,
( e1 != op(e1,e2)
| op(e1,e1) = op(e1,e2) ),
inference(resolve,[$cnf( $equal(op(e1,e1),e1) )],[refute_0_289,refute_0_640]) ).
cnf(refute_0_642,plain,
e1 != op(e1,e2),
inference(resolve,[$cnf( $equal(op(e1,e1),op(e1,e2)) )],[refute_0_641,refute_0_639]) ).
cnf(refute_0_643,plain,
( op(e1,e2) != e1
| e1 = op(e1,e2) ),
inference(subst,[],[refute_0_16:[bind(X,$fot(op(e1,e2))),bind(Y,$fot(e1))]]) ).
cnf(refute_0_644,plain,
op(e1,e2) != e1,
inference(resolve,[$cnf( $equal(e1,op(e1,e2)) )],[refute_0_643,refute_0_642]) ).
cnf(refute_0_645,plain,
( op(e1,e2) = e0
| op(e1,e2) = e3
| op(e1,e2) = e4
| op(e2,e1) = e2 ),
inference(resolve,[$cnf( $equal(op(e1,e2),e1) )],[refute_0_638,refute_0_644]) ).
cnf(refute_0_646,plain,
( op(e2,e1) != e2
| op(op(e1,e2),op(e2,e1)) != e2
| op(op(e1,e2),e2) = e2 ),
introduced(tautology,[equality,[$cnf( $equal(op(op(e1,e2),op(e2,e1)),e2) ),[0,1],$fot(e2)]]) ).
cnf(refute_0_647,plain,
( op(op(e1,e2),op(e2,e1)) != e2
| op(e1,e2) = e0
| op(e1,e2) = e3
| op(e1,e2) = e4
| op(op(e1,e2),e2) = e2 ),
inference(resolve,[$cnf( $equal(op(e2,e1),e2) )],[refute_0_645,refute_0_646]) ).
cnf(refute_0_648,plain,
( op(e1,e2) = e0
| op(e1,e2) = e3
| op(e1,e2) = e4
| op(op(e1,e2),e2) = e2 ),
inference(resolve,[$cnf( $equal(op(op(e1,e2),op(e2,e1)),e2) )],[refute_0_585,refute_0_647]) ).
cnf(refute_0_649,plain,
( op(op(e1,e2),e2) != e1
| op(op(e1,e2),e2) != e2
| e1 = e2 ),
introduced(tautology,[equality,[$cnf( $equal(op(op(e1,e2),e2),e2) ),[0],$fot(e1)]]) ).
cnf(refute_0_650,plain,
( op(op(e1,e2),e2) != e2
| e1 = e2 ),
inference(resolve,[$cnf( $equal(op(op(e1,e2),e2),e1) )],[refute_0_592,refute_0_649]) ).
cnf(refute_0_651,plain,
( e1 = e2
| op(e1,e2) = e0
| op(e1,e2) = e3
| op(e1,e2) = e4 ),
inference(resolve,[$cnf( $equal(op(op(e1,e2),e2),e2) )],[refute_0_648,refute_0_650]) ).
cnf(refute_0_652,plain,
( op(e1,e2) = e0
| op(e1,e2) = e3
| op(e1,e2) = e4 ),
inference(resolve,[$cnf( $equal(e1,e2) )],[refute_0_651,refute_0_286]) ).
cnf(refute_0_653,plain,
( op(e1,e2) != e0
| op(op(e1,e2),e2) != e1
| op(e0,e2) = e1 ),
introduced(tautology,[equality,[$cnf( $equal(op(op(e1,e2),e2),e1) ),[0,0],$fot(e0)]]) ).
cnf(refute_0_654,plain,
( op(op(e1,e2),e2) != e1
| op(e0,e2) = e1
| op(e1,e2) = e3
| op(e1,e2) = e4 ),
inference(resolve,[$cnf( $equal(op(e1,e2),e0) )],[refute_0_652,refute_0_653]) ).
cnf(refute_0_655,plain,
( op(e0,e2) = e1
| op(e1,e2) = e3
| op(e1,e2) = e4 ),
inference(resolve,[$cnf( $equal(op(op(e1,e2),e2),e1) )],[refute_0_592,refute_0_654]) ).
cnf(refute_0_656,plain,
( op(e0,e2) != e4
| op(e1,e2) != e4
| op(e0,e2) = op(e1,e2) ),
introduced(tautology,[equality,[$cnf( ~ $equal(op(e0,e2),op(e1,e2)) ),[1],$fot(e4)]]) ).
cnf(refute_0_657,plain,
( op(e0,e2) != e4
| op(e0,e2) = e1
| op(e0,e2) = op(e1,e2)
| op(e1,e2) = e3 ),
inference(resolve,[$cnf( $equal(op(e1,e2),e4) )],[refute_0_655,refute_0_656]) ).
cnf(refute_0_658,plain,
( op(e0,e2) != e4
| op(e0,e2) = e1
| op(e1,e2) = e3 ),
inference(resolve,[$cnf( $equal(op(e0,e2),op(e1,e2)) )],[refute_0_657,refute_0_89]) ).
cnf(refute_0_659,plain,
( op(e0,e2) != e1
| op(e0,e2) != e4
| e4 = e1 ),
introduced(tautology,[equality,[$cnf( $equal(op(e0,e2),e1) ),[0],$fot(e4)]]) ).
cnf(refute_0_660,plain,
( op(e0,e2) != e4
| e4 = e1
| op(e1,e2) = e3 ),
inference(resolve,[$cnf( $equal(op(e0,e2),e1) )],[refute_0_658,refute_0_659]) ).
cnf(refute_0_661,plain,
( op(e0,e2) != e4
| op(e1,e2) = e3 ),
inference(resolve,[$cnf( $equal(e4,e1) )],[refute_0_660,refute_0_267]) ).
cnf(refute_0_662,plain,
( e0 != op(e4,e3)
| e1 != op(e3,op(e4,e3))
| e2 != op(op(e4,e3),op(e3,op(e4,e3))) ),
inference(canonicalize,[],[normalize_0_87]) ).
cnf(refute_0_663,plain,
( e1 != e1
| e1 != op(e3,op(e4,e3))
| op(e3,op(e4,e3)) = e1 ),
introduced(tautology,[equality,[$cnf( $equal(e1,e1) ),[0],$fot(op(e3,op(e4,e3)))]]) ).
cnf(refute_0_664,plain,
( e1 != op(e3,op(e4,e3))
| op(e3,op(e4,e3)) = e1 ),
inference(resolve,[$cnf( $equal(e1,e1) )],[refute_0_297,refute_0_663]) ).
cnf(refute_0_665,plain,
op(e0,op(e3,op(e4,e3))) = op(e0,op(e3,op(e4,e3))),
introduced(tautology,[refl,[$fot(op(e0,op(e3,op(e4,e3))))]]) ).
cnf(refute_0_666,plain,
( op(e0,op(e3,op(e4,e3))) != op(e0,op(e3,op(e4,e3)))
| op(e3,op(e4,e3)) != e1
| op(e0,op(e3,op(e4,e3))) = op(e0,e1) ),
introduced(tautology,[equality,[$cnf( $equal(op(e0,op(e3,op(e4,e3))),op(e0,op(e3,op(e4,e3)))) ),[1,1],$fot(e1)]]) ).
cnf(refute_0_667,plain,
( op(e3,op(e4,e3)) != e1
| op(e0,op(e3,op(e4,e3))) = op(e0,e1) ),
inference(resolve,[$cnf( $equal(op(e0,op(e3,op(e4,e3))),op(e0,op(e3,op(e4,e3)))) )],[refute_0_665,refute_0_666]) ).
cnf(refute_0_668,plain,
( e1 != op(e3,op(e4,e3))
| op(e0,op(e3,op(e4,e3))) = op(e0,e1) ),
inference(resolve,[$cnf( $equal(op(e3,op(e4,e3)),e1) )],[refute_0_664,refute_0_667]) ).
cnf(refute_0_669,plain,
( e0 != e0
| e0 != op(e4,e3)
| op(e4,e3) = e0 ),
introduced(tautology,[equality,[$cnf( $equal(e0,e0) ),[0],$fot(op(e4,e3))]]) ).
cnf(refute_0_670,plain,
( e0 != op(e4,e3)
| op(e4,e3) = e0 ),
inference(resolve,[$cnf( $equal(e0,e0) )],[refute_0_323,refute_0_669]) ).
cnf(refute_0_671,plain,
op(op(e4,e3),op(e3,op(e4,e3))) = op(op(e4,e3),op(e3,op(e4,e3))),
introduced(tautology,[refl,[$fot(op(op(e4,e3),op(e3,op(e4,e3))))]]) ).
cnf(refute_0_672,plain,
( op(e4,e3) != e0
| op(op(e4,e3),op(e3,op(e4,e3))) != op(op(e4,e3),op(e3,op(e4,e3)))
| op(op(e4,e3),op(e3,op(e4,e3))) = op(e0,op(e3,op(e4,e3))) ),
introduced(tautology,[equality,[$cnf( $equal(op(op(e4,e3),op(e3,op(e4,e3))),op(op(e4,e3),op(e3,op(e4,e3)))) ),[1,0],$fot(e0)]]) ).
cnf(refute_0_673,plain,
( op(e4,e3) != e0
| op(op(e4,e3),op(e3,op(e4,e3))) = op(e0,op(e3,op(e4,e3))) ),
inference(resolve,[$cnf( $equal(op(op(e4,e3),op(e3,op(e4,e3))),op(op(e4,e3),op(e3,op(e4,e3)))) )],[refute_0_671,refute_0_672]) ).
cnf(refute_0_674,plain,
( e0 != op(e4,e3)
| op(op(e4,e3),op(e3,op(e4,e3))) = op(e0,op(e3,op(e4,e3))) ),
inference(resolve,[$cnf( $equal(op(e4,e3),e0) )],[refute_0_670,refute_0_673]) ).
cnf(refute_0_675,plain,
( op(e0,op(e3,op(e4,e3))) != op(e0,e1)
| op(op(e4,e3),op(e3,op(e4,e3))) != op(e0,op(e3,op(e4,e3)))
| op(op(e4,e3),op(e3,op(e4,e3))) = op(e0,e1) ),
inference(subst,[],[refute_0_18:[bind(X,$fot(op(op(e4,e3),op(e3,op(e4,e3))))),bind(Y,$fot(op(e0,op(e3,op(e4,e3))))),bind(Z,$fot(op(e0,e1)))]]) ).
cnf(refute_0_676,plain,
( e0 != op(e4,e3)
| op(e0,op(e3,op(e4,e3))) != op(e0,e1)
| op(op(e4,e3),op(e3,op(e4,e3))) = op(e0,e1) ),
inference(resolve,[$cnf( $equal(op(op(e4,e3),op(e3,op(e4,e3))),op(e0,op(e3,op(e4,e3)))) )],[refute_0_674,refute_0_675]) ).
cnf(refute_0_677,plain,
( e0 != op(e4,e3)
| e1 != op(e3,op(e4,e3))
| op(op(e4,e3),op(e3,op(e4,e3))) = op(e0,e1) ),
inference(resolve,[$cnf( $equal(op(e0,op(e3,op(e4,e3))),op(e0,e1)) )],[refute_0_668,refute_0_676]) ).
cnf(refute_0_678,plain,
( e2 != op(e0,e1)
| op(op(e4,e3),op(e3,op(e4,e3))) != op(e0,e1)
| e2 = op(op(e4,e3),op(e3,op(e4,e3))) ),
introduced(tautology,[equality,[$cnf( ~ $equal(e2,op(op(e4,e3),op(e3,op(e4,e3)))) ),[1],$fot(op(e0,e1))]]) ).
cnf(refute_0_679,plain,
( e0 != op(e4,e3)
| e1 != op(e3,op(e4,e3))
| e2 != op(e0,e1)
| e2 = op(op(e4,e3),op(e3,op(e4,e3))) ),
inference(resolve,[$cnf( $equal(op(op(e4,e3),op(e3,op(e4,e3))),op(e0,e1)) )],[refute_0_677,refute_0_678]) ).
cnf(refute_0_680,plain,
( e0 != op(e4,e3)
| e1 != op(e3,op(e4,e3))
| e2 != op(e0,e1) ),
inference(resolve,[$cnf( $equal(e2,op(op(e4,e3),op(e3,op(e4,e3)))) )],[refute_0_679,refute_0_662]) ).
cnf(refute_0_681,plain,
op(e3,op(e4,e3)) = op(e3,op(e4,e3)),
introduced(tautology,[refl,[$fot(op(e3,op(e4,e3)))]]) ).
cnf(refute_0_682,plain,
( op(e3,op(e4,e3)) != op(e3,op(e4,e3))
| op(e4,e3) != e0
| op(e3,op(e4,e3)) = op(e3,e0) ),
introduced(tautology,[equality,[$cnf( $equal(op(e3,op(e4,e3)),op(e3,op(e4,e3))) ),[1,1],$fot(e0)]]) ).
cnf(refute_0_683,plain,
( op(e4,e3) != e0
| op(e3,op(e4,e3)) = op(e3,e0) ),
inference(resolve,[$cnf( $equal(op(e3,op(e4,e3)),op(e3,op(e4,e3))) )],[refute_0_681,refute_0_682]) ).
cnf(refute_0_684,plain,
( e0 != op(e4,e3)
| op(e3,op(e4,e3)) = op(e3,e0) ),
inference(resolve,[$cnf( $equal(op(e4,e3),e0) )],[refute_0_670,refute_0_683]) ).
cnf(refute_0_685,plain,
( e1 != op(e3,e0)
| op(e3,op(e4,e3)) != op(e3,e0)
| e1 = op(e3,op(e4,e3)) ),
introduced(tautology,[equality,[$cnf( ~ $equal(e1,op(e3,op(e4,e3))) ),[1],$fot(op(e3,e0))]]) ).
cnf(refute_0_686,plain,
( e0 != op(e4,e3)
| e1 != op(e3,e0)
| e1 = op(e3,op(e4,e3)) ),
inference(resolve,[$cnf( $equal(op(e3,op(e4,e3)),op(e3,e0)) )],[refute_0_684,refute_0_685]) ).
cnf(refute_0_687,plain,
( e0 != op(e4,e3)
| e1 != op(e3,e0)
| e2 != op(e0,e1) ),
inference(resolve,[$cnf( $equal(e1,op(e3,op(e4,e3))) )],[refute_0_686,refute_0_680]) ).
cnf(refute_0_688,plain,
( op(e0,e0) = e4
| op(e0,e1) = e4
| op(e0,e2) = e4
| op(e0,e3) = e4
| op(e0,e4) = e4 ),
inference(canonicalize,[],[normalize_0_88]) ).
cnf(refute_0_689,plain,
( op(op(e0,e4),e4) != e0
| op(e0,e0) = e4
| op(e0,e1) = e4
| op(e0,e2) = e4
| op(e0,e3) = e4
| op(e4,e4) = e0 ),
inference(resolve,[$cnf( $equal(op(e0,e4),e4) )],[refute_0_688,refute_0_478]) ).
cnf(refute_0_690,plain,
( op(e0,e0) = e4
| op(e0,e1) = e4
| op(e0,e2) = e4
| op(e0,e3) = e4
| op(e4,e4) = e0 ),
inference(resolve,[$cnf( $equal(op(op(e0,e4),e4),e0) )],[refute_0_49,refute_0_689]) ).
cnf(refute_0_691,plain,
( op(op(e4,e4),op(e4,e4)) != e4
| op(e0,e0) = e4
| op(e0,e1) = e4
| op(e0,e2) = e4
| op(e0,e3) = e4
| op(e0,op(e4,e4)) = e4 ),
inference(resolve,[$cnf( $equal(op(e4,e4),e0) )],[refute_0_690,refute_0_348]) ).
cnf(refute_0_692,plain,
( op(e0,e0) = e4
| op(e0,e1) = e4
| op(e0,e2) = e4
| op(e0,e3) = e4
| op(e0,op(e4,e4)) = e4 ),
inference(resolve,[$cnf( $equal(op(op(e4,e4),op(e4,e4)),e4) )],[refute_0_345,refute_0_691]) ).
cnf(refute_0_693,plain,
( op(e0,op(e4,e4)) != e4
| op(e0,e0) = e4
| op(e0,e1) = e4
| op(e0,e2) = e4
| op(e0,e3) = e4 ),
inference(resolve,[$cnf( $equal(op(e4,e4),e0) )],[refute_0_690,refute_0_351]) ).
cnf(refute_0_694,plain,
( op(e0,e0) = e4
| op(e0,e1) = e4
| op(e0,e2) = e4
| op(e0,e3) = e4 ),
inference(resolve,[$cnf( $equal(op(e0,op(e4,e4)),e4) )],[refute_0_692,refute_0_693]) ).
cnf(refute_0_695,plain,
( op(e0,e3) != e4
| op(op(e0,e3),e3) != e0
| op(e4,e3) = e0 ),
introduced(tautology,[equality,[$cnf( $equal(op(op(e0,e3),e3),e0) ),[0,0],$fot(e4)]]) ).
cnf(refute_0_696,plain,
( op(op(e0,e3),e3) != e0
| op(e0,e0) = e4
| op(e0,e1) = e4
| op(e0,e2) = e4
| op(e4,e3) = e0 ),
inference(resolve,[$cnf( $equal(op(e0,e3),e4) )],[refute_0_694,refute_0_695]) ).
cnf(refute_0_697,plain,
( op(e0,e0) = e4
| op(e0,e1) = e4
| op(e0,e2) = e4
| op(e4,e3) = e0 ),
inference(resolve,[$cnf( $equal(op(op(e0,e3),e3),e0) )],[refute_0_120,refute_0_696]) ).
cnf(refute_0_698,plain,
( e0 = e4
| op(e0,e1) = e4
| op(e0,e2) = e4
| op(e4,e3) = e0 ),
inference(resolve,[$cnf( $equal(op(e0,e0),e4) )],[refute_0_697,refute_0_177]) ).
cnf(refute_0_699,plain,
( op(e0,e1) = e4
| op(e0,e2) = e4
| op(e4,e3) = e0 ),
inference(resolve,[$cnf( $equal(e0,e4) )],[refute_0_698,refute_0_53]) ).
cnf(refute_0_700,plain,
( e0 != e0
| op(e4,e3) != e0
| e0 = op(e4,e3) ),
introduced(tautology,[equality,[$cnf( ~ $equal(e0,op(e4,e3)) ),[1],$fot(e0)]]) ).
cnf(refute_0_701,plain,
( e0 != e0
| e0 = op(e4,e3)
| op(e0,e1) = e4
| op(e0,e2) = e4 ),
inference(resolve,[$cnf( $equal(op(e4,e3),e0) )],[refute_0_699,refute_0_700]) ).
cnf(refute_0_702,plain,
( e0 != e0
| e1 != op(e3,e0)
| e2 != op(e0,e1)
| op(e0,e1) = e4
| op(e0,e2) = e4 ),
inference(resolve,[$cnf( $equal(e0,op(e4,e3)) )],[refute_0_701,refute_0_687]) ).
cnf(refute_0_703,plain,
( e1 != op(e3,e0)
| e2 != op(e0,e1)
| op(e0,e1) = e4
| op(e0,e2) = e4 ),
inference(resolve,[$cnf( $equal(e0,e0) )],[refute_0_323,refute_0_702]) ).
cnf(refute_0_704,plain,
( e2 != e2
| e2 != op(e0,e1)
| op(e0,e1) = e2 ),
introduced(tautology,[equality,[$cnf( $equal(e2,e2) ),[0],$fot(op(e0,e1))]]) ).
cnf(refute_0_705,plain,
( e2 != op(e0,e1)
| op(e0,e1) = e2 ),
inference(resolve,[$cnf( $equal(e2,e2) )],[refute_0_212,refute_0_704]) ).
cnf(refute_0_706,plain,
( e2 != op(e0,e1)
| op(e0,e1) != e4
| e2 = e4 ),
inference(resolve,[$cnf( $equal(op(e0,e1),e2) )],[refute_0_705,refute_0_313]) ).
cnf(refute_0_707,plain,
( e1 != op(e3,e0)
| e2 != op(e0,e1)
| e2 = e4
| op(e0,e2) = e4 ),
inference(resolve,[$cnf( $equal(op(e0,e1),e4) )],[refute_0_703,refute_0_706]) ).
cnf(refute_0_708,plain,
( e1 != op(e3,e0)
| e2 != op(e0,e1)
| op(e0,e2) = e4 ),
inference(resolve,[$cnf( $equal(e2,e4) )],[refute_0_707,refute_0_191]) ).
cnf(refute_0_709,plain,
( op(op(e0,e1),e1) != e0
| op(e0,e1) = e3
| op(e0,e1) = e4
| op(e2,e1) = e0 ),
inference(resolve,[$cnf( $equal(op(e0,e1),e2) )],[refute_0_367,refute_0_586]) ).
cnf(refute_0_710,plain,
( op(e0,e1) = e3
| op(e0,e1) = e4
| op(e2,e1) = e0 ),
inference(resolve,[$cnf( $equal(op(op(e0,e1),e1),e0) )],[refute_0_57,refute_0_709]) ).
cnf(refute_0_711,plain,
( op(op(e1,e2),op(e2,e1)) != e2
| op(e0,e1) = e3
| op(e0,e1) = e4
| op(op(e1,e2),e0) = e2 ),
inference(resolve,[$cnf( $equal(op(e2,e1),e0) )],[refute_0_710,refute_0_589]) ).
cnf(refute_0_712,plain,
( op(e0,e1) = e3
| op(e0,e1) = e4
| op(op(e1,e2),e0) = e2 ),
inference(resolve,[$cnf( $equal(op(op(e1,e2),op(e2,e1)),e2) )],[refute_0_585,refute_0_711]) ).
cnf(refute_0_713,plain,
op(e1,e3) != op(e4,e3),
inference(canonicalize,[],[normalize_0_89]) ).
cnf(refute_0_714,plain,
( op(e1,e3) != e0
| op(e4,e3) != e0
| op(e1,e3) = op(e4,e3) ),
introduced(tautology,[equality,[$cnf( ~ $equal(op(e1,e3),op(e4,e3)) ),[1],$fot(e0)]]) ).
cnf(refute_0_715,plain,
( op(e1,e3) != e0
| op(e0,e1) = e4
| op(e0,e2) = e4
| op(e1,e3) = op(e4,e3) ),
inference(resolve,[$cnf( $equal(op(e4,e3),e0) )],[refute_0_699,refute_0_714]) ).
cnf(refute_0_716,plain,
( op(e1,e3) != e0
| op(e0,e1) = e4
| op(e0,e2) = e4 ),
inference(resolve,[$cnf( $equal(op(e1,e3),op(e4,e3)) )],[refute_0_715,refute_0_713]) ).
cnf(refute_0_717,plain,
( e0 != e0
| op(e1,e3) != e0
| op(e1,e3) = e0 ),
introduced(tautology,[equality,[$cnf( $equal(op(e1,e3),e0) ),[1],$fot(e0)]]) ).
cnf(refute_0_718,plain,
( e0 != e0
| op(e0,e4) = e1
| op(e1,e1) = e0
| op(e1,e2) = e0
| op(e1,e3) = e0 ),
inference(resolve,[$cnf( $equal(op(e1,e3),e0) )],[refute_0_440,refute_0_717]) ).
cnf(refute_0_719,plain,
( e0 != e0
| op(e0,e1) = e4
| op(e0,e2) = e4
| op(e0,e4) = e1
| op(e1,e1) = e0
| op(e1,e2) = e0 ),
inference(resolve,[$cnf( $equal(op(e1,e3),e0) )],[refute_0_718,refute_0_716]) ).
cnf(refute_0_720,plain,
( op(e0,e1) = e4
| op(e0,e2) = e4
| op(e0,e4) = e1
| op(e1,e1) = e0
| op(e1,e2) = e0 ),
inference(resolve,[$cnf( $equal(e0,e0) )],[refute_0_323,refute_0_719]) ).
cnf(refute_0_721,plain,
( e1 = e0
| op(e0,e1) = e4
| op(e0,e2) = e4
| op(e0,e4) = e1
| op(e1,e2) = e0 ),
inference(resolve,[$cnf( $equal(op(e1,e1),e0) )],[refute_0_720,refute_0_447]) ).
cnf(refute_0_722,plain,
( op(e0,e1) = e4
| op(e0,e2) = e4
| op(e0,e4) = e1
| op(e1,e2) = e0 ),
inference(resolve,[$cnf( $equal(e1,e0) )],[refute_0_721,refute_0_69]) ).
cnf(refute_0_723,plain,
( op(e1,e2) != e0
| op(op(e1,e2),e0) != e2
| op(e0,e0) = e2 ),
introduced(tautology,[equality,[$cnf( $equal(op(op(e1,e2),e0),e2) ),[0,0],$fot(e0)]]) ).
cnf(refute_0_724,plain,
( op(op(e1,e2),e0) != e2
| op(e0,e0) = e2
| op(e0,e1) = e4
| op(e0,e2) = e4
| op(e0,e4) = e1 ),
inference(resolve,[$cnf( $equal(op(e1,e2),e0) )],[refute_0_722,refute_0_723]) ).
cnf(refute_0_725,plain,
( op(e0,e0) = e2
| op(e0,e1) = e3
| op(e0,e1) = e4
| op(e0,e2) = e4
| op(e0,e4) = e1 ),
inference(resolve,[$cnf( $equal(op(op(e1,e2),e0),e2) )],[refute_0_712,refute_0_724]) ).
cnf(refute_0_726,plain,
( e0 = e2
| op(e0,e1) = e3
| op(e0,e1) = e4
| op(e0,e2) = e4
| op(e0,e4) = e1 ),
inference(resolve,[$cnf( $equal(op(e0,e0),e2) )],[refute_0_725,refute_0_551]) ).
cnf(refute_0_727,plain,
( op(e0,e1) = e3
| op(e0,e1) = e4
| op(e0,e2) = e4
| op(e0,e4) = e1 ),
inference(resolve,[$cnf( $equal(e0,e2) )],[refute_0_726,refute_0_83]) ).
cnf(refute_0_728,plain,
( op(op(e0,e4),e4) != e0
| op(e0,e1) = e3
| op(e0,e1) = e4
| op(e0,e2) = e4
| op(e1,e4) = e0 ),
inference(resolve,[$cnf( $equal(op(e0,e4),e1) )],[refute_0_727,refute_0_160]) ).
cnf(refute_0_729,plain,
( op(e0,e1) = e3
| op(e0,e1) = e4
| op(e0,e2) = e4
| op(e1,e4) = e0 ),
inference(resolve,[$cnf( $equal(op(op(e0,e4),e4),e0) )],[refute_0_49,refute_0_728]) ).
cnf(refute_0_730,plain,
( op(e1,e4) != e0
| op(op(e4,e1),op(e1,e4)) != e1
| op(op(e4,e1),e0) = e1 ),
introduced(tautology,[equality,[$cnf( $equal(op(op(e4,e1),op(e1,e4)),e1) ),[0,1],$fot(e0)]]) ).
cnf(refute_0_731,plain,
( op(op(e4,e1),op(e1,e4)) != e1
| op(e0,e1) = e3
| op(e0,e1) = e4
| op(e0,e2) = e4
| op(op(e4,e1),e0) = e1 ),
inference(resolve,[$cnf( $equal(op(e1,e4),e0) )],[refute_0_729,refute_0_730]) ).
cnf(refute_0_732,plain,
( op(e0,e1) = e3
| op(e0,e1) = e4
| op(e0,e2) = e4
| op(op(e4,e1),e0) = e1 ),
inference(resolve,[$cnf( $equal(op(op(e4,e1),op(e1,e4)),e1) )],[refute_0_226,refute_0_731]) ).
cnf(refute_0_733,plain,
( op(e4,e1) != e3
| op(op(e4,e1),e0) != e1
| op(e3,e0) = e1 ),
introduced(tautology,[equality,[$cnf( $equal(op(op(e4,e1),e0),e1) ),[0,0],$fot(e3)]]) ).
cnf(refute_0_734,plain,
( op(op(e4,e1),e0) != e1
| op(e0,e1) = e4
| op(e3,e0) = e1 ),
inference(resolve,[$cnf( $equal(op(e4,e1),e3) )],[refute_0_580,refute_0_733]) ).
cnf(refute_0_735,plain,
( op(e0,e1) = e3
| op(e0,e1) = e4
| op(e0,e2) = e4
| op(e3,e0) = e1 ),
inference(resolve,[$cnf( $equal(op(op(e4,e1),e0),e1) )],[refute_0_732,refute_0_734]) ).
cnf(refute_0_736,plain,
( op(e0,e1) != e3
| e3 = op(e0,e1) ),
inference(subst,[],[refute_0_16:[bind(X,$fot(op(e0,e1))),bind(Y,$fot(e3))]]) ).
cnf(refute_0_737,plain,
op(e0,e1) != e3,
inference(resolve,[$cnf( $equal(e3,op(e0,e1)) )],[refute_0_736,refute_0_574]) ).
cnf(refute_0_738,plain,
( op(e0,e1) = e4
| op(e0,e2) = e4
| op(e3,e0) = e1 ),
inference(resolve,[$cnf( $equal(op(e0,e1),e3) )],[refute_0_735,refute_0_737]) ).
cnf(refute_0_739,plain,
( e1 != e1
| op(e3,e0) != e1
| e1 = op(e3,e0) ),
introduced(tautology,[equality,[$cnf( ~ $equal(e1,op(e3,e0)) ),[1],$fot(e1)]]) ).
cnf(refute_0_740,plain,
( e1 != e1
| e1 = op(e3,e0)
| op(e0,e1) = e4
| op(e0,e2) = e4 ),
inference(resolve,[$cnf( $equal(op(e3,e0),e1) )],[refute_0_738,refute_0_739]) ).
cnf(refute_0_741,plain,
( e1 != e1
| e2 != op(e0,e1)
| op(e0,e1) = e4
| op(e0,e2) = e4 ),
inference(resolve,[$cnf( $equal(e1,op(e3,e0)) )],[refute_0_740,refute_0_708]) ).
cnf(refute_0_742,plain,
( e2 != op(e0,e1)
| op(e0,e1) = e4
| op(e0,e2) = e4 ),
inference(resolve,[$cnf( $equal(e1,e1) )],[refute_0_297,refute_0_741]) ).
cnf(refute_0_743,plain,
( e2 != op(e0,e1)
| e2 = e4
| op(e0,e2) = e4 ),
inference(resolve,[$cnf( $equal(op(e0,e1),e4) )],[refute_0_742,refute_0_706]) ).
cnf(refute_0_744,plain,
( e2 != op(e0,e1)
| op(e0,e2) = e4 ),
inference(resolve,[$cnf( $equal(e2,e4) )],[refute_0_743,refute_0_191]) ).
cnf(refute_0_745,plain,
( e2 != e2
| op(e0,e1) != e2
| e2 = op(e0,e1) ),
introduced(tautology,[equality,[$cnf( ~ $equal(e2,op(e0,e1)) ),[1],$fot(e2)]]) ).
cnf(refute_0_746,plain,
( e2 != e2
| e2 = op(e0,e1)
| op(e0,e1) = e4 ),
inference(resolve,[$cnf( $equal(op(e0,e1),e2) )],[refute_0_576,refute_0_745]) ).
cnf(refute_0_747,plain,
( e2 != e2
| op(e0,e1) = e4
| op(e0,e2) = e4 ),
inference(resolve,[$cnf( $equal(e2,op(e0,e1)) )],[refute_0_746,refute_0_744]) ).
cnf(refute_0_748,plain,
( op(e0,e1) = e4
| op(e0,e2) = e4 ),
inference(resolve,[$cnf( $equal(e2,e2) )],[refute_0_212,refute_0_747]) ).
cnf(refute_0_749,plain,
( e4 != e4
| op(e0,e2) != e4
| op(e0,e2) = e4 ),
introduced(tautology,[equality,[$cnf( $equal(op(e0,e2),e4) ),[1],$fot(e4)]]) ).
cnf(refute_0_750,plain,
( e4 != e4
| op(e0,e1) = e4
| op(e0,e2) = e4 ),
inference(resolve,[$cnf( $equal(op(e0,e2),e4) )],[refute_0_748,refute_0_749]) ).
cnf(refute_0_751,plain,
( e4 != e4
| op(e0,e1) = e4
| op(e1,e2) = e3 ),
inference(resolve,[$cnf( $equal(op(e0,e2),e4) )],[refute_0_750,refute_0_661]) ).
cnf(refute_0_752,plain,
( op(e0,e1) = e4
| op(e1,e2) = e3 ),
inference(resolve,[$cnf( $equal(e4,e4) )],[refute_0_1,refute_0_751]) ).
cnf(refute_0_753,plain,
( op(e1,e2) != e3
| op(op(e1,e2),e0) != e2
| op(e3,e0) = e2 ),
introduced(tautology,[equality,[$cnf( $equal(op(op(e1,e2),e0),e2) ),[0,0],$fot(e3)]]) ).
cnf(refute_0_754,plain,
( op(op(e1,e2),e0) != e2
| op(e0,e1) = e4
| op(e3,e0) = e2 ),
inference(resolve,[$cnf( $equal(op(e1,e2),e3) )],[refute_0_752,refute_0_753]) ).
cnf(refute_0_755,plain,
( op(e0,e1) = e4
| op(e3,e0) = e2 ),
inference(resolve,[$cnf( $equal(op(op(e1,e2),e0),e2) )],[refute_0_591,refute_0_754]) ).
cnf(refute_0_756,plain,
( op(e3,e0) != e1
| op(e3,e0) != e2
| e2 = e1 ),
introduced(tautology,[equality,[$cnf( $equal(op(e3,e0),e1) ),[0],$fot(e2)]]) ).
cnf(refute_0_757,plain,
( op(e3,e0) != e1
| e2 = e1
| op(e0,e1) = e4 ),
inference(resolve,[$cnf( $equal(op(e3,e0),e2) )],[refute_0_755,refute_0_756]) ).
cnf(refute_0_758,plain,
( e2 = e1
| op(e0,e1) = e4
| op(e1,e0) = e4 ),
inference(resolve,[$cnf( $equal(op(e3,e0),e1) )],[refute_0_584,refute_0_757]) ).
cnf(refute_0_759,plain,
( op(e0,e1) = e4
| op(e1,e0) = e4 ),
inference(resolve,[$cnf( $equal(e2,e1) )],[refute_0_758,refute_0_288]) ).
cnf(refute_0_760,plain,
( e4 != op(e1,e3)
| op(e1,e0) != e4
| op(e1,e0) = op(e1,e3) ),
introduced(tautology,[equality,[$cnf( $equal(op(e1,e0),e4) ),[1],$fot(op(e1,e3))]]) ).
cnf(refute_0_761,plain,
( e4 != op(e1,e3)
| op(e0,e1) = e4
| op(e1,e0) = op(e1,e3) ),
inference(resolve,[$cnf( $equal(op(e1,e0),e4) )],[refute_0_759,refute_0_760]) ).
cnf(refute_0_762,plain,
( e4 != op(e1,e3)
| op(e0,e1) = e4 ),
inference(resolve,[$cnf( $equal(op(e1,e0),op(e1,e3)) )],[refute_0_761,refute_0_36]) ).
cnf(refute_0_763,plain,
( e1 != op(e4,e0)
| e2 != op(e0,op(e4,e0))
| e3 != op(op(e4,e0),op(e0,op(e4,e0))) ),
inference(canonicalize,[],[normalize_0_90]) ).
cnf(refute_0_764,plain,
( e2 != e2
| e2 != op(e0,op(e4,e0))
| op(e0,op(e4,e0)) = e2 ),
introduced(tautology,[equality,[$cnf( $equal(e2,e2) ),[0],$fot(op(e0,op(e4,e0)))]]) ).
cnf(refute_0_765,plain,
( e2 != op(e0,op(e4,e0))
| op(e0,op(e4,e0)) = e2 ),
inference(resolve,[$cnf( $equal(e2,e2) )],[refute_0_212,refute_0_764]) ).
cnf(refute_0_766,plain,
op(e1,op(e0,op(e4,e0))) = op(e1,op(e0,op(e4,e0))),
introduced(tautology,[refl,[$fot(op(e1,op(e0,op(e4,e0))))]]) ).
cnf(refute_0_767,plain,
( op(e0,op(e4,e0)) != e2
| op(e1,op(e0,op(e4,e0))) != op(e1,op(e0,op(e4,e0)))
| op(e1,op(e0,op(e4,e0))) = op(e1,e2) ),
introduced(tautology,[equality,[$cnf( $equal(op(e1,op(e0,op(e4,e0))),op(e1,op(e0,op(e4,e0)))) ),[1,1],$fot(e2)]]) ).
cnf(refute_0_768,plain,
( op(e0,op(e4,e0)) != e2
| op(e1,op(e0,op(e4,e0))) = op(e1,e2) ),
inference(resolve,[$cnf( $equal(op(e1,op(e0,op(e4,e0))),op(e1,op(e0,op(e4,e0)))) )],[refute_0_766,refute_0_767]) ).
cnf(refute_0_769,plain,
( e2 != op(e0,op(e4,e0))
| op(e1,op(e0,op(e4,e0))) = op(e1,e2) ),
inference(resolve,[$cnf( $equal(op(e0,op(e4,e0)),e2) )],[refute_0_765,refute_0_768]) ).
cnf(refute_0_770,plain,
( e1 != e1
| e1 != op(e4,e0)
| op(e4,e0) = e1 ),
introduced(tautology,[equality,[$cnf( $equal(e1,e1) ),[0],$fot(op(e4,e0))]]) ).
cnf(refute_0_771,plain,
( e1 != op(e4,e0)
| op(e4,e0) = e1 ),
inference(resolve,[$cnf( $equal(e1,e1) )],[refute_0_297,refute_0_770]) ).
cnf(refute_0_772,plain,
op(op(e4,e0),op(e0,op(e4,e0))) = op(op(e4,e0),op(e0,op(e4,e0))),
introduced(tautology,[refl,[$fot(op(op(e4,e0),op(e0,op(e4,e0))))]]) ).
cnf(refute_0_773,plain,
( op(e4,e0) != e1
| op(op(e4,e0),op(e0,op(e4,e0))) != op(op(e4,e0),op(e0,op(e4,e0)))
| op(op(e4,e0),op(e0,op(e4,e0))) = op(e1,op(e0,op(e4,e0))) ),
introduced(tautology,[equality,[$cnf( $equal(op(op(e4,e0),op(e0,op(e4,e0))),op(op(e4,e0),op(e0,op(e4,e0)))) ),[1,0],$fot(e1)]]) ).
cnf(refute_0_774,plain,
( op(e4,e0) != e1
| op(op(e4,e0),op(e0,op(e4,e0))) = op(e1,op(e0,op(e4,e0))) ),
inference(resolve,[$cnf( $equal(op(op(e4,e0),op(e0,op(e4,e0))),op(op(e4,e0),op(e0,op(e4,e0)))) )],[refute_0_772,refute_0_773]) ).
cnf(refute_0_775,plain,
( e1 != op(e4,e0)
| op(op(e4,e0),op(e0,op(e4,e0))) = op(e1,op(e0,op(e4,e0))) ),
inference(resolve,[$cnf( $equal(op(e4,e0),e1) )],[refute_0_771,refute_0_774]) ).
cnf(refute_0_776,plain,
( op(e1,op(e0,op(e4,e0))) != op(e1,e2)
| op(op(e4,e0),op(e0,op(e4,e0))) != op(e1,op(e0,op(e4,e0)))
| op(op(e4,e0),op(e0,op(e4,e0))) = op(e1,e2) ),
inference(subst,[],[refute_0_18:[bind(X,$fot(op(op(e4,e0),op(e0,op(e4,e0))))),bind(Y,$fot(op(e1,op(e0,op(e4,e0))))),bind(Z,$fot(op(e1,e2)))]]) ).
cnf(refute_0_777,plain,
( e1 != op(e4,e0)
| op(e1,op(e0,op(e4,e0))) != op(e1,e2)
| op(op(e4,e0),op(e0,op(e4,e0))) = op(e1,e2) ),
inference(resolve,[$cnf( $equal(op(op(e4,e0),op(e0,op(e4,e0))),op(e1,op(e0,op(e4,e0)))) )],[refute_0_775,refute_0_776]) ).
cnf(refute_0_778,plain,
( e1 != op(e4,e0)
| e2 != op(e0,op(e4,e0))
| op(op(e4,e0),op(e0,op(e4,e0))) = op(e1,e2) ),
inference(resolve,[$cnf( $equal(op(e1,op(e0,op(e4,e0))),op(e1,e2)) )],[refute_0_769,refute_0_777]) ).
cnf(refute_0_779,plain,
( e3 != op(e1,e2)
| op(op(e4,e0),op(e0,op(e4,e0))) != op(e1,e2)
| e3 = op(op(e4,e0),op(e0,op(e4,e0))) ),
introduced(tautology,[equality,[$cnf( ~ $equal(e3,op(op(e4,e0),op(e0,op(e4,e0)))) ),[1],$fot(op(e1,e2))]]) ).
cnf(refute_0_780,plain,
( e1 != op(e4,e0)
| e2 != op(e0,op(e4,e0))
| e3 != op(e1,e2)
| e3 = op(op(e4,e0),op(e0,op(e4,e0))) ),
inference(resolve,[$cnf( $equal(op(op(e4,e0),op(e0,op(e4,e0))),op(e1,e2)) )],[refute_0_778,refute_0_779]) ).
cnf(refute_0_781,plain,
( e1 != op(e4,e0)
| e2 != op(e0,op(e4,e0))
| e3 != op(e1,e2) ),
inference(resolve,[$cnf( $equal(e3,op(op(e4,e0),op(e0,op(e4,e0)))) )],[refute_0_780,refute_0_763]) ).
cnf(refute_0_782,plain,
op(e0,op(e4,e0)) = op(e0,op(e4,e0)),
introduced(tautology,[refl,[$fot(op(e0,op(e4,e0)))]]) ).
cnf(refute_0_783,plain,
( op(e0,op(e4,e0)) != op(e0,op(e4,e0))
| op(e4,e0) != e1
| op(e0,op(e4,e0)) = op(e0,e1) ),
introduced(tautology,[equality,[$cnf( $equal(op(e0,op(e4,e0)),op(e0,op(e4,e0))) ),[1,1],$fot(e1)]]) ).
cnf(refute_0_784,plain,
( op(e4,e0) != e1
| op(e0,op(e4,e0)) = op(e0,e1) ),
inference(resolve,[$cnf( $equal(op(e0,op(e4,e0)),op(e0,op(e4,e0))) )],[refute_0_782,refute_0_783]) ).
cnf(refute_0_785,plain,
( e1 != op(e4,e0)
| op(e0,op(e4,e0)) = op(e0,e1) ),
inference(resolve,[$cnf( $equal(op(e4,e0),e1) )],[refute_0_771,refute_0_784]) ).
cnf(refute_0_786,plain,
( e2 != op(e0,e1)
| op(e0,op(e4,e0)) != op(e0,e1)
| e2 = op(e0,op(e4,e0)) ),
introduced(tautology,[equality,[$cnf( ~ $equal(e2,op(e0,op(e4,e0))) ),[1],$fot(op(e0,e1))]]) ).
cnf(refute_0_787,plain,
( e1 != op(e4,e0)
| e2 != op(e0,e1)
| e2 = op(e0,op(e4,e0)) ),
inference(resolve,[$cnf( $equal(op(e0,op(e4,e0)),op(e0,e1)) )],[refute_0_785,refute_0_786]) ).
cnf(refute_0_788,plain,
( e1 != op(e4,e0)
| e2 != op(e0,e1)
| e3 != op(e1,e2) ),
inference(resolve,[$cnf( $equal(e2,op(e0,op(e4,e0))) )],[refute_0_787,refute_0_781]) ).
cnf(refute_0_789,plain,
op(op(e4,e3),e3) = e4,
inference(canonicalize,[],[normalize_0_91]) ).
cnf(refute_0_790,plain,
( op(e4,e0) = e1
| op(e4,e1) = e1
| op(e4,e2) = e1
| op(e4,e3) = e1
| op(e4,e4) = e1 ),
inference(canonicalize,[],[normalize_0_92]) ).
cnf(refute_0_791,plain,
( op(e4,e1) != e1
| e1 = op(e4,e1) ),
inference(subst,[],[refute_0_16:[bind(X,$fot(op(e4,e1))),bind(Y,$fot(e1))]]) ).
cnf(refute_0_792,plain,
op(e4,e1) != e1,
inference(resolve,[$cnf( $equal(e1,op(e4,e1)) )],[refute_0_791,refute_0_292]) ).
cnf(refute_0_793,plain,
( op(e4,e0) = e1
| op(e4,e2) = e1
| op(e4,e3) = e1
| op(e4,e4) = e1 ),
inference(resolve,[$cnf( $equal(op(e4,e1),e1) )],[refute_0_790,refute_0_792]) ).
cnf(refute_0_794,plain,
( op(e4,e4) != e1
| op(op(e4,e4),op(e4,e4)) != e4
| op(e1,op(e4,e4)) = e4 ),
introduced(tautology,[equality,[$cnf( $equal(op(op(e4,e4),op(e4,e4)),e4) ),[0,0],$fot(e1)]]) ).
cnf(refute_0_795,plain,
( op(op(e4,e4),op(e4,e4)) != e4
| op(e1,op(e4,e4)) = e4
| op(e4,e0) = e1
| op(e4,e2) = e1
| op(e4,e3) = e1 ),
inference(resolve,[$cnf( $equal(op(e4,e4),e1) )],[refute_0_793,refute_0_794]) ).
cnf(refute_0_796,plain,
( op(e1,op(e4,e4)) = e4
| op(e4,e0) = e1
| op(e4,e2) = e1
| op(e4,e3) = e1 ),
inference(resolve,[$cnf( $equal(op(op(e4,e4),op(e4,e4)),e4) )],[refute_0_345,refute_0_795]) ).
cnf(refute_0_797,plain,
( op(e1,op(e4,e4)) != e4
| op(e4,e4) != e1
| op(e1,e1) = e4 ),
introduced(tautology,[equality,[$cnf( $equal(op(e1,op(e4,e4)),e4) ),[0,1],$fot(e1)]]) ).
cnf(refute_0_798,plain,
( op(e1,op(e4,e4)) != e4
| op(e1,e1) = e4
| op(e4,e0) = e1
| op(e4,e2) = e1
| op(e4,e3) = e1 ),
inference(resolve,[$cnf( $equal(op(e4,e4),e1) )],[refute_0_793,refute_0_797]) ).
cnf(refute_0_799,plain,
( op(e1,e1) = e4
| op(e4,e0) = e1
| op(e4,e2) = e1
| op(e4,e3) = e1 ),
inference(resolve,[$cnf( $equal(op(e1,op(e4,e4)),e4) )],[refute_0_796,refute_0_798]) ).
cnf(refute_0_800,plain,
( e1 = e4
| op(e4,e0) = e1
| op(e4,e2) = e1
| op(e4,e3) = e1 ),
inference(resolve,[$cnf( $equal(op(e1,e1),e4) )],[refute_0_799,refute_0_387]) ).
cnf(refute_0_801,plain,
( op(e4,e0) = e1
| op(e4,e2) = e1
| op(e4,e3) = e1 ),
inference(resolve,[$cnf( $equal(e1,e4) )],[refute_0_800,refute_0_253]) ).
cnf(refute_0_802,plain,
( op(e4,e3) != e1
| op(op(e4,e3),e3) != e4
| op(e1,e3) = e4 ),
introduced(tautology,[equality,[$cnf( $equal(op(op(e4,e3),e3),e4) ),[0,0],$fot(e1)]]) ).
cnf(refute_0_803,plain,
( op(op(e4,e3),e3) != e4
| op(e1,e3) = e4
| op(e4,e0) = e1
| op(e4,e2) = e1 ),
inference(resolve,[$cnf( $equal(op(e4,e3),e1) )],[refute_0_801,refute_0_802]) ).
cnf(refute_0_804,plain,
( op(e1,e3) = e4
| op(e4,e0) = e1
| op(e4,e2) = e1 ),
inference(resolve,[$cnf( $equal(op(op(e4,e3),e3),e4) )],[refute_0_789,refute_0_803]) ).
cnf(refute_0_805,plain,
( op(e4,e2) != e1
| op(op(e4,e2),e2) != e4
| op(e1,e2) = e4 ),
introduced(tautology,[equality,[$cnf( $equal(op(op(e4,e2),e2),e4) ),[0,0],$fot(e1)]]) ).
cnf(refute_0_806,plain,
( op(op(e4,e2),e2) != e4
| op(e1,e2) = e4
| op(e1,e3) = e4
| op(e4,e0) = e1 ),
inference(resolve,[$cnf( $equal(op(e4,e2),e1) )],[refute_0_804,refute_0_805]) ).
cnf(refute_0_807,plain,
( op(e1,e2) = e4
| op(e1,e3) = e4
| op(e4,e0) = e1 ),
inference(resolve,[$cnf( $equal(op(op(e4,e2),e2),e4) )],[refute_0_616,refute_0_806]) ).
cnf(refute_0_808,plain,
( e1 != e1
| e1 = op(e4,e0)
| op(e1,e2) = e4
| op(e1,e3) = e4 ),
inference(resolve,[$cnf( $equal(op(e4,e0),e1) )],[refute_0_807,refute_0_456]) ).
cnf(refute_0_809,plain,
( e1 != e1
| e2 != op(e0,e1)
| e3 != op(e1,e2)
| op(e1,e2) = e4
| op(e1,e3) = e4 ),
inference(resolve,[$cnf( $equal(e1,op(e4,e0)) )],[refute_0_808,refute_0_788]) ).
cnf(refute_0_810,plain,
( e2 != op(e0,e1)
| e3 != op(e1,e2)
| op(e1,e2) = e4
| op(e1,e3) = e4 ),
inference(resolve,[$cnf( $equal(e1,e1) )],[refute_0_297,refute_0_809]) ).
cnf(refute_0_811,plain,
( e3 != e3
| e3 != op(e1,e2)
| op(e1,e2) = e3 ),
introduced(tautology,[equality,[$cnf( $equal(e3,e3) ),[0],$fot(op(e1,e2))]]) ).
cnf(refute_0_812,plain,
( e3 != op(e1,e2)
| op(e1,e2) = e3 ),
inference(resolve,[$cnf( $equal(e3,e3) )],[refute_0_11,refute_0_811]) ).
cnf(refute_0_813,plain,
( op(e1,e2) != e3
| op(e1,e2) != e4
| e3 = e4 ),
introduced(tautology,[equality,[$cnf( $equal(op(e1,e2),e4) ),[0],$fot(e3)]]) ).
cnf(refute_0_814,plain,
( e3 != op(e1,e2)
| op(e1,e2) != e4
| e3 = e4 ),
inference(resolve,[$cnf( $equal(op(e1,e2),e3) )],[refute_0_812,refute_0_813]) ).
cnf(refute_0_815,plain,
( e2 != op(e0,e1)
| e3 != op(e1,e2)
| e3 = e4
| op(e1,e3) = e4 ),
inference(resolve,[$cnf( $equal(op(e1,e2),e4) )],[refute_0_810,refute_0_814]) ).
cnf(refute_0_816,plain,
( e2 != op(e0,e1)
| e3 != op(e1,e2)
| op(e1,e3) = e4 ),
inference(resolve,[$cnf( $equal(e3,e4) )],[refute_0_815,refute_0_472]) ).
cnf(refute_0_817,plain,
( e3 != e3
| op(e1,e2) != e3
| e3 = op(e1,e2) ),
introduced(tautology,[equality,[$cnf( ~ $equal(e3,op(e1,e2)) ),[1],$fot(e3)]]) ).
cnf(refute_0_818,plain,
( e3 != e3
| e3 = op(e1,e2)
| op(e0,e1) = e4 ),
inference(resolve,[$cnf( $equal(op(e1,e2),e3) )],[refute_0_752,refute_0_817]) ).
cnf(refute_0_819,plain,
( e2 != op(e0,e1)
| e3 != e3
| op(e0,e1) = e4
| op(e1,e3) = e4 ),
inference(resolve,[$cnf( $equal(e3,op(e1,e2)) )],[refute_0_818,refute_0_816]) ).
cnf(refute_0_820,plain,
( e2 != op(e0,e1)
| op(e0,e1) = e4
| op(e1,e3) = e4 ),
inference(resolve,[$cnf( $equal(e3,e3) )],[refute_0_11,refute_0_819]) ).
cnf(refute_0_821,plain,
( e2 != op(e0,e1)
| e2 = e4
| op(e1,e3) = e4 ),
inference(resolve,[$cnf( $equal(op(e0,e1),e4) )],[refute_0_820,refute_0_706]) ).
cnf(refute_0_822,plain,
( e2 != op(e0,e1)
| op(e1,e3) = e4 ),
inference(resolve,[$cnf( $equal(e2,e4) )],[refute_0_821,refute_0_191]) ).
cnf(refute_0_823,plain,
( e2 != e2
| op(e0,e1) = e4
| op(e1,e3) = e4 ),
inference(resolve,[$cnf( $equal(e2,op(e0,e1)) )],[refute_0_746,refute_0_822]) ).
cnf(refute_0_824,plain,
( op(e0,e1) = e4
| op(e1,e3) = e4 ),
inference(resolve,[$cnf( $equal(e2,e2) )],[refute_0_212,refute_0_823]) ).
cnf(refute_0_825,plain,
( e4 != e4
| op(e1,e3) != e4
| e4 = op(e1,e3) ),
introduced(tautology,[equality,[$cnf( ~ $equal(e4,op(e1,e3)) ),[1],$fot(e4)]]) ).
cnf(refute_0_826,plain,
( e4 != e4
| e4 = op(e1,e3)
| op(e0,e1) = e4 ),
inference(resolve,[$cnf( $equal(op(e1,e3),e4) )],[refute_0_824,refute_0_825]) ).
cnf(refute_0_827,plain,
( e4 != e4
| op(e0,e1) = e4 ),
inference(resolve,[$cnf( $equal(e4,op(e1,e3)) )],[refute_0_826,refute_0_762]) ).
cnf(refute_0_828,plain,
op(e0,e1) = e4,
inference(resolve,[$cnf( $equal(e4,e4) )],[refute_0_1,refute_0_827]) ).
cnf(refute_0_829,plain,
( e4 != e4
| op(e0,e1) != e4
| e4 = op(e0,e1) ),
introduced(tautology,[equality,[$cnf( ~ $equal(e4,op(e0,e1)) ),[1],$fot(e4)]]) ).
cnf(refute_0_830,plain,
( e4 != e4
| e4 = op(e0,e1) ),
inference(resolve,[$cnf( $equal(op(e0,e1),e4) )],[refute_0_828,refute_0_829]) ).
cnf(refute_0_831,plain,
( e2 != op(e4,e3)
| e3 != op(e1,e4)
| e4 != e4 ),
inference(resolve,[$cnf( $equal(e4,op(e0,e1)) )],[refute_0_830,refute_0_35]) ).
cnf(refute_0_832,plain,
( e2 != op(e4,e3)
| e3 != op(e1,e4) ),
inference(resolve,[$cnf( $equal(e4,e4) )],[refute_0_1,refute_0_831]) ).
cnf(refute_0_833,plain,
op(op(e3,e4),e4) = e3,
inference(canonicalize,[],[normalize_0_93]) ).
cnf(refute_0_834,plain,
op(e0,e1) != op(e2,e1),
inference(canonicalize,[],[normalize_0_94]) ).
cnf(refute_0_835,plain,
op(e1,e1) != op(e2,e1),
inference(canonicalize,[],[normalize_0_95]) ).
cnf(refute_0_836,plain,
( e1 != op(e2,e1)
| op(e1,e1) != e1
| op(e1,e1) = op(e2,e1) ),
introduced(tautology,[equality,[$cnf( $equal(op(e1,e1),e1) ),[1],$fot(op(e2,e1))]]) ).
cnf(refute_0_837,plain,
( e1 != op(e2,e1)
| op(e1,e1) = op(e2,e1) ),
inference(resolve,[$cnf( $equal(op(e1,e1),e1) )],[refute_0_289,refute_0_836]) ).
cnf(refute_0_838,plain,
e1 != op(e2,e1),
inference(resolve,[$cnf( $equal(op(e1,e1),op(e2,e1)) )],[refute_0_837,refute_0_835]) ).
cnf(refute_0_839,plain,
( op(e2,e1) = e0
| op(e2,e1) = e1
| op(e2,e1) = e2
| op(e2,e1) = e3
| op(e2,e1) = e4 ),
inference(canonicalize,[],[normalize_0_96]) ).
cnf(refute_0_840,plain,
( e1 != e1
| op(e2,e1) != e1
| e1 = op(e2,e1) ),
introduced(tautology,[equality,[$cnf( ~ $equal(e1,op(e2,e1)) ),[1],$fot(e1)]]) ).
cnf(refute_0_841,plain,
( e1 != e1
| e1 = op(e2,e1)
| op(e2,e1) = e0
| op(e2,e1) = e2
| op(e2,e1) = e3
| op(e2,e1) = e4 ),
inference(resolve,[$cnf( $equal(op(e2,e1),e1) )],[refute_0_839,refute_0_840]) ).
cnf(refute_0_842,plain,
( e1 != e1
| op(e2,e1) = e0
| op(e2,e1) = e2
| op(e2,e1) = e3
| op(e2,e1) = e4 ),
inference(resolve,[$cnf( $equal(e1,op(e2,e1)) )],[refute_0_841,refute_0_838]) ).
cnf(refute_0_843,plain,
( op(e2,e1) = e0
| op(e2,e1) = e2
| op(e2,e1) = e3
| op(e2,e1) = e4 ),
inference(resolve,[$cnf( $equal(e1,e1) )],[refute_0_297,refute_0_842]) ).
cnf(refute_0_844,plain,
( op(op(e1,e2),op(e2,e1)) != e2
| op(e2,e1) = e0
| op(e2,e1) = e3
| op(e2,e1) = e4
| op(op(e1,e2),e2) = e2 ),
inference(resolve,[$cnf( $equal(op(e2,e1),e2) )],[refute_0_843,refute_0_646]) ).
cnf(refute_0_845,plain,
( op(e2,e1) = e0
| op(e2,e1) = e3
| op(e2,e1) = e4
| op(op(e1,e2),e2) = e2 ),
inference(resolve,[$cnf( $equal(op(op(e1,e2),op(e2,e1)),e2) )],[refute_0_585,refute_0_844]) ).
cnf(refute_0_846,plain,
( e1 = e2
| op(e2,e1) = e0
| op(e2,e1) = e3
| op(e2,e1) = e4 ),
inference(resolve,[$cnf( $equal(op(op(e1,e2),e2),e2) )],[refute_0_845,refute_0_650]) ).
cnf(refute_0_847,plain,
( op(e2,e1) = e0
| op(e2,e1) = e3
| op(e2,e1) = e4 ),
inference(resolve,[$cnf( $equal(e1,e2) )],[refute_0_846,refute_0_286]) ).
cnf(refute_0_848,plain,
( op(e2,e1) != e0
| op(op(e2,e1),e1) != e2
| op(e0,e1) = e2 ),
introduced(tautology,[equality,[$cnf( $equal(op(op(e2,e1),e1),e2) ),[0,0],$fot(e0)]]) ).
cnf(refute_0_849,plain,
( op(op(e2,e1),e1) != e2
| op(e0,e1) = e2
| op(e2,e1) = e3
| op(e2,e1) = e4 ),
inference(resolve,[$cnf( $equal(op(e2,e1),e0) )],[refute_0_847,refute_0_848]) ).
cnf(refute_0_850,plain,
( op(e0,e1) = e2
| op(e2,e1) = e3
| op(e2,e1) = e4 ),
inference(resolve,[$cnf( $equal(op(op(e2,e1),e1),e2) )],[refute_0_282,refute_0_849]) ).
cnf(refute_0_851,plain,
( op(e0,e1) != e4
| op(e2,e1) != e4
| op(e0,e1) = op(e2,e1) ),
introduced(tautology,[equality,[$cnf( ~ $equal(op(e0,e1),op(e2,e1)) ),[1],$fot(e4)]]) ).
cnf(refute_0_852,plain,
( op(e0,e1) != e4
| op(e0,e1) = e2
| op(e0,e1) = op(e2,e1)
| op(e2,e1) = e3 ),
inference(resolve,[$cnf( $equal(op(e2,e1),e4) )],[refute_0_850,refute_0_851]) ).
cnf(refute_0_853,plain,
( op(e0,e1) != e4
| op(e0,e1) = e2
| op(e2,e1) = e3 ),
inference(resolve,[$cnf( $equal(op(e0,e1),op(e2,e1)) )],[refute_0_852,refute_0_834]) ).
cnf(refute_0_854,plain,
( op(e0,e1) != e2
| op(e0,e1) != e4
| e4 = e2 ),
introduced(tautology,[equality,[$cnf( $equal(op(e0,e1),e2) ),[0],$fot(e4)]]) ).
cnf(refute_0_855,plain,
( op(e0,e1) != e4
| e4 = e2
| op(e2,e1) = e3 ),
inference(resolve,[$cnf( $equal(op(e0,e1),e2) )],[refute_0_853,refute_0_854]) ).
cnf(refute_0_856,plain,
( op(e0,e1) != e4
| op(e2,e1) = e3 ),
inference(resolve,[$cnf( $equal(e4,e2) )],[refute_0_855,refute_0_621]) ).
cnf(refute_0_857,plain,
( e4 != e4
| op(e2,e1) = e3 ),
inference(resolve,[$cnf( $equal(op(e0,e1),e4) )],[refute_0_827,refute_0_856]) ).
cnf(refute_0_858,plain,
op(e2,e1) = e3,
inference(resolve,[$cnf( $equal(e4,e4) )],[refute_0_1,refute_0_857]) ).
cnf(refute_0_859,plain,
op(op(e2,e1),op(e1,e2)) = op(op(e2,e1),op(e1,e2)),
introduced(tautology,[refl,[$fot(op(op(e2,e1),op(e1,e2)))]]) ).
cnf(refute_0_860,plain,
( op(e2,e1) != e3
| op(op(e2,e1),op(e1,e2)) != op(op(e2,e1),op(e1,e2))
| op(op(e2,e1),op(e1,e2)) = op(e3,op(e1,e2)) ),
introduced(tautology,[equality,[$cnf( $equal(op(op(e2,e1),op(e1,e2)),op(op(e2,e1),op(e1,e2))) ),[1,0],$fot(e3)]]) ).
cnf(refute_0_861,plain,
( op(e2,e1) != e3
| op(op(e2,e1),op(e1,e2)) = op(e3,op(e1,e2)) ),
inference(resolve,[$cnf( $equal(op(op(e2,e1),op(e1,e2)),op(op(e2,e1),op(e1,e2))) )],[refute_0_859,refute_0_860]) ).
cnf(refute_0_862,plain,
op(op(e2,e1),op(e1,e2)) = op(e3,op(e1,e2)),
inference(resolve,[$cnf( $equal(op(e2,e1),e3) )],[refute_0_858,refute_0_861]) ).
cnf(refute_0_863,plain,
( op(op(e2,e1),op(e1,e2)) != e1
| op(op(e2,e1),op(e1,e2)) != op(e3,op(e1,e2))
| op(e3,op(e1,e2)) = e1 ),
introduced(tautology,[equality,[$cnf( $equal(op(op(e2,e1),op(e1,e2)),e1) ),[0],$fot(op(e3,op(e1,e2)))]]) ).
cnf(refute_0_864,plain,
( op(op(e2,e1),op(e1,e2)) != e1
| op(e3,op(e1,e2)) = e1 ),
inference(resolve,[$cnf( $equal(op(op(e2,e1),op(e1,e2)),op(e3,op(e1,e2))) )],[refute_0_862,refute_0_863]) ).
cnf(refute_0_865,plain,
op(e3,op(e1,e2)) = e1,
inference(resolve,[$cnf( $equal(op(op(e2,e1),op(e1,e2)),e1) )],[refute_0_224,refute_0_864]) ).
cnf(refute_0_866,plain,
op(op(e0,e1),op(e1,e0)) = op(op(e0,e1),op(e1,e0)),
introduced(tautology,[refl,[$fot(op(op(e0,e1),op(e1,e0)))]]) ).
cnf(refute_0_867,plain,
( op(e0,e1) != e4
| op(op(e0,e1),op(e1,e0)) != op(op(e0,e1),op(e1,e0))
| op(op(e0,e1),op(e1,e0)) = op(e4,op(e1,e0)) ),
introduced(tautology,[equality,[$cnf( $equal(op(op(e0,e1),op(e1,e0)),op(op(e0,e1),op(e1,e0))) ),[1,0],$fot(e4)]]) ).
cnf(refute_0_868,plain,
( op(e0,e1) != e4
| op(op(e0,e1),op(e1,e0)) = op(e4,op(e1,e0)) ),
inference(resolve,[$cnf( $equal(op(op(e0,e1),op(e1,e0)),op(op(e0,e1),op(e1,e0))) )],[refute_0_866,refute_0_867]) ).
cnf(refute_0_869,plain,
op(op(e0,e1),op(e1,e0)) = op(e4,op(e1,e0)),
inference(resolve,[$cnf( $equal(op(e0,e1),e4) )],[refute_0_828,refute_0_868]) ).
cnf(refute_0_870,plain,
( op(op(e0,e1),op(e1,e0)) != e1
| op(op(e0,e1),op(e1,e0)) != op(e4,op(e1,e0))
| op(e4,op(e1,e0)) = e1 ),
introduced(tautology,[equality,[$cnf( $equal(op(op(e0,e1),op(e1,e0)),e1) ),[0],$fot(op(e4,op(e1,e0)))]]) ).
cnf(refute_0_871,plain,
( op(op(e0,e1),op(e1,e0)) != e1
| op(e4,op(e1,e0)) = e1 ),
inference(resolve,[$cnf( $equal(op(op(e0,e1),op(e1,e0)),op(e4,op(e1,e0))) )],[refute_0_869,refute_0_870]) ).
cnf(refute_0_872,plain,
op(e4,op(e1,e0)) = e1,
inference(resolve,[$cnf( $equal(op(op(e0,e1),op(e1,e0)),e1) )],[refute_0_229,refute_0_871]) ).
cnf(refute_0_873,plain,
op(e0,e1) != op(e3,e1),
inference(canonicalize,[],[normalize_0_97]) ).
cnf(refute_0_874,plain,
op(e1,e1) != op(e3,e1),
inference(canonicalize,[],[normalize_0_98]) ).
cnf(refute_0_875,plain,
( e1 != op(e3,e1)
| op(e1,e1) != e1
| op(e1,e1) = op(e3,e1) ),
introduced(tautology,[equality,[$cnf( $equal(op(e1,e1),e1) ),[1],$fot(op(e3,e1))]]) ).
cnf(refute_0_876,plain,
( e1 != op(e3,e1)
| op(e1,e1) = op(e3,e1) ),
inference(resolve,[$cnf( $equal(op(e1,e1),e1) )],[refute_0_289,refute_0_875]) ).
cnf(refute_0_877,plain,
e1 != op(e3,e1),
inference(resolve,[$cnf( $equal(op(e1,e1),op(e3,e1)) )],[refute_0_876,refute_0_874]) ).
cnf(refute_0_878,plain,
( op(e3,e1) = e0
| op(e3,e1) = e1
| op(e3,e1) = e2
| op(e3,e1) = e3
| op(e3,e1) = e4 ),
inference(canonicalize,[],[normalize_0_99]) ).
cnf(refute_0_879,plain,
( e1 != e1
| op(e3,e1) != e1
| e1 = op(e3,e1) ),
introduced(tautology,[equality,[$cnf( ~ $equal(e1,op(e3,e1)) ),[1],$fot(e1)]]) ).
cnf(refute_0_880,plain,
( e1 != e1
| e1 = op(e3,e1)
| op(e3,e1) = e0
| op(e3,e1) = e2
| op(e3,e1) = e3
| op(e3,e1) = e4 ),
inference(resolve,[$cnf( $equal(op(e3,e1),e1) )],[refute_0_878,refute_0_879]) ).
cnf(refute_0_881,plain,
( e1 != e1
| op(e3,e1) = e0
| op(e3,e1) = e2
| op(e3,e1) = e3
| op(e3,e1) = e4 ),
inference(resolve,[$cnf( $equal(e1,op(e3,e1)) )],[refute_0_880,refute_0_877]) ).
cnf(refute_0_882,plain,
( op(e3,e1) = e0
| op(e3,e1) = e2
| op(e3,e1) = e3
| op(e3,e1) = e4 ),
inference(resolve,[$cnf( $equal(e1,e1) )],[refute_0_297,refute_0_881]) ).
cnf(refute_0_883,plain,
( op(e3,e1) != e3
| op(op(e1,e3),op(e3,e1)) != e3
| op(op(e1,e3),e3) = e3 ),
introduced(tautology,[equality,[$cnf( $equal(op(op(e1,e3),op(e3,e1)),e3) ),[0,1],$fot(e3)]]) ).
cnf(refute_0_884,plain,
( op(op(e1,e3),op(e3,e1)) != e3
| op(e3,e1) = e0
| op(e3,e1) = e2
| op(e3,e1) = e4
| op(op(e1,e3),e3) = e3 ),
inference(resolve,[$cnf( $equal(op(e3,e1),e3) )],[refute_0_882,refute_0_883]) ).
cnf(refute_0_885,plain,
( op(e3,e1) = e0
| op(e3,e1) = e2
| op(e3,e1) = e4
| op(op(e1,e3),e3) = e3 ),
inference(resolve,[$cnf( $equal(op(op(e1,e3),op(e3,e1)),e3) )],[refute_0_426,refute_0_884]) ).
cnf(refute_0_886,plain,
op(op(e1,e3),e3) = e1,
inference(canonicalize,[],[normalize_0_100]) ).
cnf(refute_0_887,plain,
( op(op(e1,e3),e3) != e1
| op(op(e1,e3),e3) != e3
| e1 = e3 ),
introduced(tautology,[equality,[$cnf( $equal(op(op(e1,e3),e3),e3) ),[0],$fot(e1)]]) ).
cnf(refute_0_888,plain,
( op(op(e1,e3),e3) != e3
| e1 = e3 ),
inference(resolve,[$cnf( $equal(op(op(e1,e3),e3),e1) )],[refute_0_886,refute_0_887]) ).
cnf(refute_0_889,plain,
( e1 = e3
| op(e3,e1) = e0
| op(e3,e1) = e2
| op(e3,e1) = e4 ),
inference(resolve,[$cnf( $equal(op(op(e1,e3),e3),e3) )],[refute_0_885,refute_0_888]) ).
cnf(refute_0_890,plain,
( op(e3,e1) = e0
| op(e3,e1) = e2
| op(e3,e1) = e4 ),
inference(resolve,[$cnf( $equal(e1,e3) )],[refute_0_889,refute_0_251]) ).
cnf(refute_0_891,plain,
( op(e3,e1) != e0
| op(op(e3,e1),e1) != e3
| op(e0,e1) = e3 ),
introduced(tautology,[equality,[$cnf( $equal(op(op(e3,e1),e1),e3) ),[0,0],$fot(e0)]]) ).
cnf(refute_0_892,plain,
( op(op(e3,e1),e1) != e3
| op(e0,e1) = e3
| op(e3,e1) = e2
| op(e3,e1) = e4 ),
inference(resolve,[$cnf( $equal(op(e3,e1),e0) )],[refute_0_890,refute_0_891]) ).
cnf(refute_0_893,plain,
( op(e0,e1) = e3
| op(e3,e1) = e2
| op(e3,e1) = e4 ),
inference(resolve,[$cnf( $equal(op(op(e3,e1),e1),e3) )],[refute_0_272,refute_0_892]) ).
cnf(refute_0_894,plain,
( op(e0,e1) != e4
| op(e3,e1) != e4
| op(e0,e1) = op(e3,e1) ),
introduced(tautology,[equality,[$cnf( ~ $equal(op(e0,e1),op(e3,e1)) ),[1],$fot(e4)]]) ).
cnf(refute_0_895,plain,
( op(e0,e1) != e4
| op(e0,e1) = e3
| op(e0,e1) = op(e3,e1)
| op(e3,e1) = e2 ),
inference(resolve,[$cnf( $equal(op(e3,e1),e4) )],[refute_0_893,refute_0_894]) ).
cnf(refute_0_896,plain,
( op(e0,e1) != e4
| op(e0,e1) = e3
| op(e3,e1) = e2 ),
inference(resolve,[$cnf( $equal(op(e0,e1),op(e3,e1)) )],[refute_0_895,refute_0_873]) ).
cnf(refute_0_897,plain,
( op(e0,e1) != e3
| op(e0,e1) != e4
| e4 = e3 ),
introduced(tautology,[equality,[$cnf( $equal(op(e0,e1),e3) ),[0],$fot(e4)]]) ).
cnf(refute_0_898,plain,
( op(e0,e1) != e4
| e4 = e3
| op(e3,e1) = e2 ),
inference(resolve,[$cnf( $equal(op(e0,e1),e3) )],[refute_0_896,refute_0_897]) ).
cnf(refute_0_899,plain,
( e4 != e3
| e3 = e4 ),
inference(subst,[],[refute_0_16:[bind(X,$fot(e4)),bind(Y,$fot(e3))]]) ).
cnf(refute_0_900,plain,
e4 != e3,
inference(resolve,[$cnf( $equal(e3,e4) )],[refute_0_899,refute_0_472]) ).
cnf(refute_0_901,plain,
( op(e0,e1) != e4
| op(e3,e1) = e2 ),
inference(resolve,[$cnf( $equal(e4,e3) )],[refute_0_898,refute_0_900]) ).
cnf(refute_0_902,plain,
( e4 != e4
| op(e3,e1) = e2 ),
inference(resolve,[$cnf( $equal(op(e0,e1),e4) )],[refute_0_827,refute_0_901]) ).
cnf(refute_0_903,plain,
op(e3,e1) = e2,
inference(resolve,[$cnf( $equal(e4,e4) )],[refute_0_1,refute_0_902]) ).
cnf(refute_0_904,plain,
op(op(e3,e1),op(e1,e3)) = op(op(e3,e1),op(e1,e3)),
introduced(tautology,[refl,[$fot(op(op(e3,e1),op(e1,e3)))]]) ).
cnf(refute_0_905,plain,
( op(e3,e1) != e2
| op(op(e3,e1),op(e1,e3)) != op(op(e3,e1),op(e1,e3))
| op(op(e3,e1),op(e1,e3)) = op(e2,op(e1,e3)) ),
introduced(tautology,[equality,[$cnf( $equal(op(op(e3,e1),op(e1,e3)),op(op(e3,e1),op(e1,e3))) ),[1,0],$fot(e2)]]) ).
cnf(refute_0_906,plain,
( op(e3,e1) != e2
| op(op(e3,e1),op(e1,e3)) = op(e2,op(e1,e3)) ),
inference(resolve,[$cnf( $equal(op(op(e3,e1),op(e1,e3)),op(op(e3,e1),op(e1,e3))) )],[refute_0_904,refute_0_905]) ).
cnf(refute_0_907,plain,
op(op(e3,e1),op(e1,e3)) = op(e2,op(e1,e3)),
inference(resolve,[$cnf( $equal(op(e3,e1),e2) )],[refute_0_903,refute_0_906]) ).
cnf(refute_0_908,plain,
( op(op(e3,e1),op(e1,e3)) != e1
| op(op(e3,e1),op(e1,e3)) != op(e2,op(e1,e3))
| op(e2,op(e1,e3)) = e1 ),
introduced(tautology,[equality,[$cnf( $equal(op(op(e3,e1),op(e1,e3)),e1) ),[0],$fot(op(e2,op(e1,e3)))]]) ).
cnf(refute_0_909,plain,
( op(op(e3,e1),op(e1,e3)) != e1
| op(e2,op(e1,e3)) = e1 ),
inference(resolve,[$cnf( $equal(op(op(e3,e1),op(e1,e3)),op(e2,op(e1,e3))) )],[refute_0_907,refute_0_908]) ).
cnf(refute_0_910,plain,
op(e2,op(e1,e3)) = e1,
inference(resolve,[$cnf( $equal(op(op(e3,e1),op(e1,e3)),e1) )],[refute_0_225,refute_0_909]) ).
cnf(refute_0_911,plain,
op(op(e3,e3),op(e3,e3)) = e3,
inference(canonicalize,[],[normalize_0_101]) ).
cnf(refute_0_912,plain,
( op(e0,e3) != e3
| op(op(e0,e3),e3) != e0
| op(e3,e3) = e0 ),
introduced(tautology,[equality,[$cnf( $equal(op(op(e0,e3),e3),e0) ),[0,0],$fot(e3)]]) ).
cnf(refute_0_913,plain,
( op(op(e0,e3),e3) != e0
| op(e0,e3) = e1
| op(e0,e3) = e2
| op(e0,e3) = e4
| op(e3,e3) = e0 ),
inference(resolve,[$cnf( $equal(op(e0,e3),e3) )],[refute_0_131,refute_0_912]) ).
cnf(refute_0_914,plain,
( op(e0,e3) = e1
| op(e0,e3) = e2
| op(e0,e3) = e4
| op(e3,e3) = e0 ),
inference(resolve,[$cnf( $equal(op(op(e0,e3),e3),e0) )],[refute_0_120,refute_0_913]) ).
cnf(refute_0_915,plain,
( op(e3,e3) != e0
| op(op(e3,e3),op(e3,e3)) != e3
| op(e0,op(e3,e3)) = e3 ),
introduced(tautology,[equality,[$cnf( $equal(op(op(e3,e3),op(e3,e3)),e3) ),[0,0],$fot(e0)]]) ).
cnf(refute_0_916,plain,
( op(op(e3,e3),op(e3,e3)) != e3
| op(e0,e3) = e1
| op(e0,e3) = e2
| op(e0,e3) = e4
| op(e0,op(e3,e3)) = e3 ),
inference(resolve,[$cnf( $equal(op(e3,e3),e0) )],[refute_0_914,refute_0_915]) ).
cnf(refute_0_917,plain,
( op(e0,e3) = e1
| op(e0,e3) = e2
| op(e0,e3) = e4
| op(e0,op(e3,e3)) = e3 ),
inference(resolve,[$cnf( $equal(op(op(e3,e3),op(e3,e3)),e3) )],[refute_0_911,refute_0_916]) ).
cnf(refute_0_918,plain,
( op(e0,op(e3,e3)) != e3
| op(e3,e3) != e0
| op(e0,e0) = e3 ),
introduced(tautology,[equality,[$cnf( $equal(op(e0,op(e3,e3)),e3) ),[0,1],$fot(e0)]]) ).
cnf(refute_0_919,plain,
( op(e0,op(e3,e3)) != e3
| op(e0,e0) = e3
| op(e0,e3) = e1
| op(e0,e3) = e2
| op(e0,e3) = e4 ),
inference(resolve,[$cnf( $equal(op(e3,e3),e0) )],[refute_0_914,refute_0_918]) ).
cnf(refute_0_920,plain,
( op(e0,e0) = e3
| op(e0,e3) = e1
| op(e0,e3) = e2
| op(e0,e3) = e4 ),
inference(resolve,[$cnf( $equal(op(e0,op(e3,e3)),e3) )],[refute_0_917,refute_0_919]) ).
cnf(refute_0_921,plain,
( e0 = e3
| op(e0,e3) = e1
| op(e0,e3) = e2
| op(e0,e3) = e4 ),
inference(resolve,[$cnf( $equal(op(e0,e0),e3) )],[refute_0_920,refute_0_206]) ).
cnf(refute_0_922,plain,
( op(e0,e3) = e1
| op(e0,e3) = e2
| op(e0,e3) = e4 ),
inference(resolve,[$cnf( $equal(e0,e3) )],[refute_0_921,refute_0_85]) ).
cnf(refute_0_923,plain,
( op(e0,e3) != e1
| op(op(e3,e0),op(e0,e3)) != e0
| op(op(e3,e0),e1) = e0 ),
introduced(tautology,[equality,[$cnf( $equal(op(op(e3,e0),op(e0,e3)),e0) ),[0,1],$fot(e1)]]) ).
cnf(refute_0_924,plain,
( op(op(e3,e0),op(e0,e3)) != e0
| op(e0,e3) = e2
| op(e0,e3) = e4
| op(op(e3,e0),e1) = e0 ),
inference(resolve,[$cnf( $equal(op(e0,e3),e1) )],[refute_0_922,refute_0_923]) ).
cnf(refute_0_925,plain,
( op(e0,e3) = e2
| op(e0,e3) = e4
| op(op(e3,e0),e1) = e0 ),
inference(resolve,[$cnf( $equal(op(op(e3,e0),op(e0,e3)),e0) )],[refute_0_121,refute_0_924]) ).
cnf(refute_0_926,plain,
( op(e1,e0) != e3
| op(op(e1,e0),e0) != e1
| op(e3,e0) = e1 ),
introduced(tautology,[equality,[$cnf( $equal(op(op(e1,e0),e0),e1) ),[0,0],$fot(e3)]]) ).
cnf(refute_0_927,plain,
( op(op(e1,e0),e0) != e1
| op(e0,e0) = e1
| op(e1,e0) = e2
| op(e1,e0) = e4
| op(e3,e0) = e1 ),
inference(resolve,[$cnf( $equal(op(e1,e0),e3) )],[refute_0_240,refute_0_926]) ).
cnf(refute_0_928,plain,
( op(e0,e0) = e1
| op(e1,e0) = e2
| op(e1,e0) = e4
| op(e3,e0) = e1 ),
inference(resolve,[$cnf( $equal(op(op(e1,e0),e0),e1) )],[refute_0_63,refute_0_927]) ).
cnf(refute_0_929,plain,
( e0 = e1
| op(e1,e0) = e2
| op(e1,e0) = e4
| op(e3,e0) = e1 ),
inference(resolve,[$cnf( $equal(op(e0,e0),e1) )],[refute_0_928,refute_0_256]) ).
cnf(refute_0_930,plain,
( op(e1,e0) = e2
| op(e1,e0) = e4
| op(e3,e0) = e1 ),
inference(resolve,[$cnf( $equal(e0,e1) )],[refute_0_929,refute_0_67]) ).
cnf(refute_0_931,plain,
( op(e3,e0) != e1
| op(op(e3,e0),e1) != e0
| op(e1,e1) = e0 ),
introduced(tautology,[equality,[$cnf( $equal(op(op(e3,e0),e1),e0) ),[0,0],$fot(e1)]]) ).
cnf(refute_0_932,plain,
( op(op(e3,e0),e1) != e0
| op(e1,e0) = e2
| op(e1,e0) = e4
| op(e1,e1) = e0 ),
inference(resolve,[$cnf( $equal(op(e3,e0),e1) )],[refute_0_930,refute_0_931]) ).
cnf(refute_0_933,plain,
( op(e0,e3) = e2
| op(e0,e3) = e4
| op(e1,e0) = e2
| op(e1,e0) = e4
| op(e1,e1) = e0 ),
inference(resolve,[$cnf( $equal(op(op(e3,e0),e1),e0) )],[refute_0_925,refute_0_932]) ).
cnf(refute_0_934,plain,
( e1 = e0
| op(e0,e3) = e2
| op(e0,e3) = e4
| op(e1,e0) = e2
| op(e1,e0) = e4 ),
inference(resolve,[$cnf( $equal(op(e1,e1),e0) )],[refute_0_933,refute_0_447]) ).
cnf(refute_0_935,plain,
( op(e0,e3) = e2
| op(e0,e3) = e4
| op(e1,e0) = e2
| op(e1,e0) = e4 ),
inference(resolve,[$cnf( $equal(e1,e0) )],[refute_0_934,refute_0_69]) ).
cnf(refute_0_936,plain,
op(e2,e3) != op(e2,e4),
inference(canonicalize,[],[normalize_0_102]) ).
cnf(refute_0_937,plain,
( op(e0,e3) != e2
| op(op(e0,e3),e3) != e0
| op(e2,e3) = e0 ),
introduced(tautology,[equality,[$cnf( $equal(op(op(e0,e3),e3),e0) ),[0,0],$fot(e2)]]) ).
cnf(refute_0_938,plain,
( op(op(e0,e3),e3) != e0
| op(e0,e3) = e1
| op(e0,e3) = e4
| op(e2,e3) = e0 ),
inference(resolve,[$cnf( $equal(op(e0,e3),e2) )],[refute_0_922,refute_0_937]) ).
cnf(refute_0_939,plain,
( op(e0,e3) = e1
| op(e0,e3) = e4
| op(e2,e3) = e0 ),
inference(resolve,[$cnf( $equal(op(op(e0,e3),e3),e0) )],[refute_0_120,refute_0_938]) ).
cnf(refute_0_940,plain,
( e0 != op(e2,e4)
| op(e2,e3) != e0
| op(e2,e3) = op(e2,e4) ),
introduced(tautology,[equality,[$cnf( $equal(op(e2,e3),e0) ),[1],$fot(op(e2,e4))]]) ).
cnf(refute_0_941,plain,
( e0 != op(e2,e4)
| op(e0,e3) = e1
| op(e0,e3) = e4
| op(e2,e3) = op(e2,e4) ),
inference(resolve,[$cnf( $equal(op(e2,e3),e0) )],[refute_0_939,refute_0_940]) ).
cnf(refute_0_942,plain,
( e0 != op(e2,e4)
| op(e0,e3) = e1
| op(e0,e3) = e4 ),
inference(resolve,[$cnf( $equal(op(e2,e3),op(e2,e4)) )],[refute_0_941,refute_0_936]) ).
cnf(refute_0_943,plain,
( e0 = e1
| op(e1,e0) = e2
| op(e1,e0) = e3
| op(e1,e0) = e4 ),
inference(resolve,[$cnf( $equal(op(e0,e0),e1) )],[refute_0_240,refute_0_256]) ).
cnf(refute_0_944,plain,
( op(e1,e0) = e2
| op(e1,e0) = e3
| op(e1,e0) = e4 ),
inference(resolve,[$cnf( $equal(e0,e1) )],[refute_0_943,refute_0_67]) ).
cnf(refute_0_945,plain,
( op(e1,e0) != e2
| op(op(e1,e0),op(e0,e1)) != e0
| op(e2,op(e0,e1)) = e0 ),
introduced(tautology,[equality,[$cnf( $equal(op(op(e1,e0),op(e0,e1)),e0) ),[0,0],$fot(e2)]]) ).
cnf(refute_0_946,plain,
( op(op(e1,e0),op(e0,e1)) != e0
| op(e1,e0) = e3
| op(e1,e0) = e4
| op(e2,op(e0,e1)) = e0 ),
inference(resolve,[$cnf( $equal(op(e1,e0),e2) )],[refute_0_944,refute_0_945]) ).
cnf(refute_0_947,plain,
( op(e1,e0) = e3
| op(e1,e0) = e4
| op(e2,op(e0,e1)) = e0 ),
inference(resolve,[$cnf( $equal(op(op(e1,e0),op(e0,e1)),e0) )],[refute_0_58,refute_0_946]) ).
cnf(refute_0_948,plain,
op(e2,op(e0,e1)) = op(e2,op(e0,e1)),
introduced(tautology,[refl,[$fot(op(e2,op(e0,e1)))]]) ).
cnf(refute_0_949,plain,
( op(e0,e1) != e4
| op(e2,op(e0,e1)) != op(e2,op(e0,e1))
| op(e2,op(e0,e1)) = op(e2,e4) ),
introduced(tautology,[equality,[$cnf( $equal(op(e2,op(e0,e1)),op(e2,op(e0,e1))) ),[1,1],$fot(e4)]]) ).
cnf(refute_0_950,plain,
( op(e0,e1) != e4
| op(e2,op(e0,e1)) = op(e2,e4) ),
inference(resolve,[$cnf( $equal(op(e2,op(e0,e1)),op(e2,op(e0,e1))) )],[refute_0_948,refute_0_949]) ).
cnf(refute_0_951,plain,
op(e2,op(e0,e1)) = op(e2,e4),
inference(resolve,[$cnf( $equal(op(e0,e1),e4) )],[refute_0_828,refute_0_950]) ).
cnf(refute_0_952,plain,
( op(e2,op(e0,e1)) != e0
| op(e2,op(e0,e1)) != op(e2,e4)
| op(e2,e4) = e0 ),
introduced(tautology,[equality,[$cnf( $equal(op(e2,op(e0,e1)),e0) ),[0],$fot(op(e2,e4))]]) ).
cnf(refute_0_953,plain,
( op(e2,op(e0,e1)) != e0
| op(e2,e4) = e0 ),
inference(resolve,[$cnf( $equal(op(e2,op(e0,e1)),op(e2,e4)) )],[refute_0_951,refute_0_952]) ).
cnf(refute_0_954,plain,
( op(e1,e0) = e3
| op(e1,e0) = e4
| op(e2,e4) = e0 ),
inference(resolve,[$cnf( $equal(op(e2,op(e0,e1)),e0) )],[refute_0_947,refute_0_953]) ).
cnf(refute_0_955,plain,
( op(e0,e0) = e2
| op(e1,e0) = e2
| op(e2,e0) = e2
| op(e3,e0) = e2
| op(e4,e0) = e2 ),
inference(canonicalize,[],[normalize_0_103]) ).
cnf(refute_0_956,plain,
( op(op(e4,e0),e0) != e4
| op(e0,e0) = e2
| op(e1,e0) = e2
| op(e2,e0) = e2
| op(e2,e0) = e4
| op(e3,e0) = e2 ),
inference(resolve,[$cnf( $equal(op(e4,e0),e2) )],[refute_0_955,refute_0_525]) ).
cnf(refute_0_957,plain,
( op(e0,e0) = e2
| op(e1,e0) = e2
| op(e2,e0) = e2
| op(e2,e0) = e4
| op(e3,e0) = e2 ),
inference(resolve,[$cnf( $equal(op(op(e4,e0),e0),e4) )],[refute_0_40,refute_0_956]) ).
cnf(refute_0_958,plain,
( op(e3,e0) != e2
| op(op(e3,e0),e0) != e3
| op(e2,e0) = e3 ),
introduced(tautology,[equality,[$cnf( $equal(op(op(e3,e0),e0),e3) ),[0,0],$fot(e2)]]) ).
cnf(refute_0_959,plain,
( op(op(e3,e0),e0) != e3
| op(e0,e0) = e2
| op(e1,e0) = e2
| op(e2,e0) = e2
| op(e2,e0) = e3
| op(e2,e0) = e4 ),
inference(resolve,[$cnf( $equal(op(e3,e0),e2) )],[refute_0_957,refute_0_958]) ).
cnf(refute_0_960,plain,
( op(e0,e0) = e2
| op(e1,e0) = e2
| op(e2,e0) = e2
| op(e2,e0) = e3
| op(e2,e0) = e4 ),
inference(resolve,[$cnf( $equal(op(op(e3,e0),e0),e3) )],[refute_0_38,refute_0_959]) ).
cnf(refute_0_961,plain,
( op(op(e0,e2),op(e2,e0)) != e2
| op(e0,e0) = e2
| op(e1,e0) = e2
| op(e2,e0) = e3
| op(e2,e0) = e4
| op(op(e0,e2),e2) = e2 ),
inference(resolve,[$cnf( $equal(op(e2,e0),e2) )],[refute_0_960,refute_0_540]) ).
cnf(refute_0_962,plain,
( op(e0,e0) = e2
| op(e1,e0) = e2
| op(e2,e0) = e3
| op(e2,e0) = e4
| op(op(e0,e2),e2) = e2 ),
inference(resolve,[$cnf( $equal(op(op(e0,e2),op(e2,e0)),e2) )],[refute_0_535,refute_0_961]) ).
cnf(refute_0_963,plain,
( e0 = e2
| op(e0,e0) = e2
| op(e1,e0) = e2
| op(e2,e0) = e3
| op(e2,e0) = e4 ),
inference(resolve,[$cnf( $equal(op(op(e0,e2),e2),e2) )],[refute_0_962,refute_0_544]) ).
cnf(refute_0_964,plain,
( op(e0,e0) = e2
| op(e1,e0) = e2
| op(e2,e0) = e3
| op(e2,e0) = e4 ),
inference(resolve,[$cnf( $equal(e0,e2) )],[refute_0_963,refute_0_83]) ).
cnf(refute_0_965,plain,
( e3 != op(e2,e1)
| op(e2,e0) != e3
| op(e2,e0) = op(e2,e1) ),
introduced(tautology,[equality,[$cnf( $equal(op(e2,e0),e3) ),[1],$fot(op(e2,e1))]]) ).
cnf(refute_0_966,plain,
( e3 != op(e2,e1)
| op(e0,e0) = e2
| op(e1,e0) = e2
| op(e2,e0) = e4
| op(e2,e0) = op(e2,e1) ),
inference(resolve,[$cnf( $equal(op(e2,e0),e3) )],[refute_0_964,refute_0_965]) ).
cnf(refute_0_967,plain,
( e3 != op(e2,e1)
| op(e0,e0) = e2
| op(e1,e0) = e2
| op(e2,e0) = e4 ),
inference(resolve,[$cnf( $equal(op(e2,e0),op(e2,e1)) )],[refute_0_966,refute_0_534]) ).
cnf(refute_0_968,plain,
( e3 != op(e2,e1)
| e0 = e2
| op(e1,e0) = e2
| op(e2,e0) = e4 ),
inference(resolve,[$cnf( $equal(op(e0,e0),e2) )],[refute_0_967,refute_0_551]) ).
cnf(refute_0_969,plain,
( e3 != op(e2,e1)
| op(e1,e0) = e2
| op(e2,e0) = e4 ),
inference(resolve,[$cnf( $equal(e0,e2) )],[refute_0_968,refute_0_83]) ).
cnf(refute_0_970,plain,
( e4 != e4
| op(e0,e1) != e4
| op(e0,e1) = e4 ),
introduced(tautology,[equality,[$cnf( $equal(op(e0,e1),e4) ),[1],$fot(e4)]]) ).
cnf(refute_0_971,plain,
( e4 != e4
| op(e0,e1) = e2
| op(e0,e1) = e4 ),
inference(resolve,[$cnf( $equal(op(e0,e1),e4) )],[refute_0_576,refute_0_970]) ).
cnf(refute_0_972,plain,
( e4 != e4
| op(e0,e1) = e2
| op(e2,e1) = e3 ),
inference(resolve,[$cnf( $equal(op(e0,e1),e4) )],[refute_0_971,refute_0_856]) ).
cnf(refute_0_973,plain,
( op(e0,e1) = e2
| op(e2,e1) = e3 ),
inference(resolve,[$cnf( $equal(e4,e4) )],[refute_0_1,refute_0_972]) ).
cnf(refute_0_974,plain,
( e3 != e3
| op(e2,e1) != e3
| e3 = op(e2,e1) ),
introduced(tautology,[equality,[$cnf( ~ $equal(e3,op(e2,e1)) ),[1],$fot(e3)]]) ).
cnf(refute_0_975,plain,
( e3 != e3
| e3 = op(e2,e1)
| op(e0,e1) = e2 ),
inference(resolve,[$cnf( $equal(op(e2,e1),e3) )],[refute_0_973,refute_0_974]) ).
cnf(refute_0_976,plain,
( e3 != e3
| op(e0,e1) = e2
| op(e1,e0) = e2
| op(e2,e0) = e4 ),
inference(resolve,[$cnf( $equal(e3,op(e2,e1)) )],[refute_0_975,refute_0_969]) ).
cnf(refute_0_977,plain,
( op(e0,e1) = e2
| op(e1,e0) = e2
| op(e2,e0) = e4 ),
inference(resolve,[$cnf( $equal(e3,e3) )],[refute_0_11,refute_0_976]) ).
cnf(refute_0_978,plain,
( op(e1,e0) != e4
| op(e2,e0) != e4
| op(e1,e0) = op(e2,e0) ),
introduced(tautology,[equality,[$cnf( ~ $equal(op(e1,e0),op(e2,e0)) ),[1],$fot(e4)]]) ).
cnf(refute_0_979,plain,
( op(e1,e0) != e4
| op(e0,e1) = e2
| op(e1,e0) = e2
| op(e1,e0) = op(e2,e0) ),
inference(resolve,[$cnf( $equal(op(e2,e0),e4) )],[refute_0_977,refute_0_978]) ).
cnf(refute_0_980,plain,
( op(e1,e0) != e4
| op(e0,e1) = e2
| op(e1,e0) = e2 ),
inference(resolve,[$cnf( $equal(op(e1,e0),op(e2,e0)) )],[refute_0_979,refute_0_228]) ).
cnf(refute_0_981,plain,
( op(e1,e0) != e2
| op(e1,e0) != e4
| e4 = e2 ),
introduced(tautology,[equality,[$cnf( $equal(op(e1,e0),e2) ),[0],$fot(e4)]]) ).
cnf(refute_0_982,plain,
( op(e1,e0) != e4
| e4 = e2
| op(e0,e1) = e2 ),
inference(resolve,[$cnf( $equal(op(e1,e0),e2) )],[refute_0_980,refute_0_981]) ).
cnf(refute_0_983,plain,
( op(e1,e0) != e4
| op(e0,e1) = e2 ),
inference(resolve,[$cnf( $equal(e4,e2) )],[refute_0_982,refute_0_621]) ).
cnf(refute_0_984,plain,
( op(e0,e1) != e2
| e4 = e2 ),
inference(resolve,[$cnf( $equal(op(e0,e1),e4) )],[refute_0_828,refute_0_854]) ).
cnf(refute_0_985,plain,
( op(e1,e0) != e4
| e4 = e2 ),
inference(resolve,[$cnf( $equal(op(e0,e1),e2) )],[refute_0_983,refute_0_984]) ).
cnf(refute_0_986,plain,
op(e1,e0) != e4,
inference(resolve,[$cnf( $equal(e4,e2) )],[refute_0_985,refute_0_621]) ).
cnf(refute_0_987,plain,
( op(e1,e0) = e3
| op(e2,e4) = e0 ),
inference(resolve,[$cnf( $equal(op(e1,e0),e4) )],[refute_0_954,refute_0_986]) ).
cnf(refute_0_988,plain,
( e0 != e0
| e0 = op(e2,e4)
| op(e1,e0) = e3 ),
inference(resolve,[$cnf( $equal(op(e2,e4),e0) )],[refute_0_987,refute_0_494]) ).
cnf(refute_0_989,plain,
( e0 != e0
| op(e0,e3) = e1
| op(e0,e3) = e4
| op(e1,e0) = e3 ),
inference(resolve,[$cnf( $equal(e0,op(e2,e4)) )],[refute_0_988,refute_0_942]) ).
cnf(refute_0_990,plain,
( op(e0,e3) = e1
| op(e0,e3) = e4
| op(e1,e0) = e3 ),
inference(resolve,[$cnf( $equal(e0,e0) )],[refute_0_323,refute_0_989]) ).
cnf(refute_0_991,plain,
op(e0,e1) != op(e0,e3),
inference(canonicalize,[],[normalize_0_104]) ).
cnf(refute_0_992,plain,
( e4 != op(e0,e3)
| op(e0,e1) != e4
| op(e0,e1) = op(e0,e3) ),
introduced(tautology,[equality,[$cnf( $equal(op(e0,e1),e4) ),[1],$fot(op(e0,e3))]]) ).
cnf(refute_0_993,plain,
( e4 != op(e0,e3)
| op(e0,e1) = op(e0,e3) ),
inference(resolve,[$cnf( $equal(op(e0,e1),e4) )],[refute_0_828,refute_0_992]) ).
cnf(refute_0_994,plain,
e4 != op(e0,e3),
inference(resolve,[$cnf( $equal(op(e0,e1),op(e0,e3)) )],[refute_0_993,refute_0_991]) ).
cnf(refute_0_995,plain,
( op(e0,e3) != e4
| e4 = op(e0,e3) ),
inference(subst,[],[refute_0_16:[bind(X,$fot(op(e0,e3))),bind(Y,$fot(e4))]]) ).
cnf(refute_0_996,plain,
op(e0,e3) != e4,
inference(resolve,[$cnf( $equal(e4,op(e0,e3)) )],[refute_0_995,refute_0_994]) ).
cnf(refute_0_997,plain,
( op(e0,e3) = e1
| op(e1,e0) = e3 ),
inference(resolve,[$cnf( $equal(op(e0,e3),e4) )],[refute_0_990,refute_0_996]) ).
cnf(refute_0_998,plain,
( op(e1,e0) != e2
| op(e1,e0) != e3
| e3 = e2 ),
introduced(tautology,[equality,[$cnf( $equal(op(e1,e0),e2) ),[0],$fot(e3)]]) ).
cnf(refute_0_999,plain,
( op(e1,e0) != e2
| e3 = e2
| op(e0,e3) = e1 ),
inference(resolve,[$cnf( $equal(op(e1,e0),e3) )],[refute_0_997,refute_0_998]) ).
cnf(refute_0_1000,plain,
( e3 = e2
| op(e0,e3) = e1
| op(e0,e3) = e2
| op(e0,e3) = e4
| op(e1,e0) = e4 ),
inference(resolve,[$cnf( $equal(op(e1,e0),e2) )],[refute_0_935,refute_0_999]) ).
cnf(refute_0_1001,plain,
( op(e0,e3) = e1
| op(e0,e3) = e2
| op(e0,e3) = e4
| op(e1,e0) = e4 ),
inference(resolve,[$cnf( $equal(e3,e2) )],[refute_0_1000,refute_0_470]) ).
cnf(refute_0_1002,plain,
( e0 != op(e4,e1)
| e2 != op(op(e4,e1),op(e1,op(e4,e1)))
| e3 != op(e1,op(e4,e1)) ),
inference(canonicalize,[],[normalize_0_105]) ).
cnf(refute_0_1003,plain,
( e0 != e0
| e0 != op(e4,e1)
| op(e4,e1) = e0 ),
introduced(tautology,[equality,[$cnf( $equal(e0,e0) ),[0],$fot(op(e4,e1))]]) ).
cnf(refute_0_1004,plain,
( e0 != op(e4,e1)
| op(e4,e1) = e0 ),
inference(resolve,[$cnf( $equal(e0,e0) )],[refute_0_323,refute_0_1003]) ).
cnf(refute_0_1005,plain,
op(e1,op(e4,e1)) = op(e1,op(e4,e1)),
introduced(tautology,[refl,[$fot(op(e1,op(e4,e1)))]]) ).
cnf(refute_0_1006,plain,
( op(e1,op(e4,e1)) != op(e1,op(e4,e1))
| op(e4,e1) != e0
| op(e1,op(e4,e1)) = op(e1,e0) ),
introduced(tautology,[equality,[$cnf( $equal(op(e1,op(e4,e1)),op(e1,op(e4,e1))) ),[1,1],$fot(e0)]]) ).
cnf(refute_0_1007,plain,
( op(e4,e1) != e0
| op(e1,op(e4,e1)) = op(e1,e0) ),
inference(resolve,[$cnf( $equal(op(e1,op(e4,e1)),op(e1,op(e4,e1))) )],[refute_0_1005,refute_0_1006]) ).
cnf(refute_0_1008,plain,
( e0 != op(e4,e1)
| op(e1,op(e4,e1)) = op(e1,e0) ),
inference(resolve,[$cnf( $equal(op(e4,e1),e0) )],[refute_0_1004,refute_0_1007]) ).
cnf(refute_0_1009,plain,
( e3 != op(e1,e0)
| op(e1,op(e4,e1)) != op(e1,e0)
| e3 = op(e1,op(e4,e1)) ),
introduced(tautology,[equality,[$cnf( ~ $equal(e3,op(e1,op(e4,e1))) ),[1],$fot(op(e1,e0))]]) ).
cnf(refute_0_1010,plain,
( e0 != op(e4,e1)
| e3 != op(e1,e0)
| e3 = op(e1,op(e4,e1)) ),
inference(resolve,[$cnf( $equal(op(e1,op(e4,e1)),op(e1,e0)) )],[refute_0_1008,refute_0_1009]) ).
cnf(refute_0_1011,plain,
( e0 != op(e4,e1)
| e2 != op(op(e4,e1),op(e1,op(e4,e1)))
| e3 != op(e1,e0) ),
inference(resolve,[$cnf( $equal(e3,op(e1,op(e4,e1))) )],[refute_0_1010,refute_0_1002]) ).
cnf(refute_0_1012,plain,
( e3 != e3
| e3 != op(e1,e0)
| op(e1,e0) = e3 ),
introduced(tautology,[equality,[$cnf( $equal(e3,e3) ),[0],$fot(op(e1,e0))]]) ).
cnf(refute_0_1013,plain,
( e3 != op(e1,e0)
| op(e1,e0) = e3 ),
inference(resolve,[$cnf( $equal(e3,e3) )],[refute_0_11,refute_0_1012]) ).
cnf(refute_0_1014,plain,
( op(e1,e0) != e3
| op(e1,op(e4,e1)) != op(e1,e0)
| op(e1,op(e4,e1)) = e3 ),
inference(subst,[],[refute_0_18:[bind(X,$fot(op(e1,op(e4,e1)))),bind(Y,$fot(op(e1,e0))),bind(Z,$fot(e3))]]) ).
cnf(refute_0_1015,plain,
( e0 != op(e4,e1)
| op(e1,e0) != e3
| op(e1,op(e4,e1)) = e3 ),
inference(resolve,[$cnf( $equal(op(e1,op(e4,e1)),op(e1,e0)) )],[refute_0_1008,refute_0_1014]) ).
cnf(refute_0_1016,plain,
( e0 != op(e4,e1)
| e3 != op(e1,e0)
| op(e1,op(e4,e1)) = e3 ),
inference(resolve,[$cnf( $equal(op(e1,e0),e3) )],[refute_0_1013,refute_0_1015]) ).
cnf(refute_0_1017,plain,
op(e0,op(e1,op(e4,e1))) = op(e0,op(e1,op(e4,e1))),
introduced(tautology,[refl,[$fot(op(e0,op(e1,op(e4,e1))))]]) ).
cnf(refute_0_1018,plain,
( op(e0,op(e1,op(e4,e1))) != op(e0,op(e1,op(e4,e1)))
| op(e1,op(e4,e1)) != e3
| op(e0,op(e1,op(e4,e1))) = op(e0,e3) ),
introduced(tautology,[equality,[$cnf( $equal(op(e0,op(e1,op(e4,e1))),op(e0,op(e1,op(e4,e1)))) ),[1,1],$fot(e3)]]) ).
cnf(refute_0_1019,plain,
( op(e1,op(e4,e1)) != e3
| op(e0,op(e1,op(e4,e1))) = op(e0,e3) ),
inference(resolve,[$cnf( $equal(op(e0,op(e1,op(e4,e1))),op(e0,op(e1,op(e4,e1)))) )],[refute_0_1017,refute_0_1018]) ).
cnf(refute_0_1020,plain,
( e0 != op(e4,e1)
| e3 != op(e1,e0)
| op(e0,op(e1,op(e4,e1))) = op(e0,e3) ),
inference(resolve,[$cnf( $equal(op(e1,op(e4,e1)),e3) )],[refute_0_1016,refute_0_1019]) ).
cnf(refute_0_1021,plain,
op(op(e4,e1),op(e1,op(e4,e1))) = op(op(e4,e1),op(e1,op(e4,e1))),
introduced(tautology,[refl,[$fot(op(op(e4,e1),op(e1,op(e4,e1))))]]) ).
cnf(refute_0_1022,plain,
( op(e4,e1) != e0
| op(op(e4,e1),op(e1,op(e4,e1))) != op(op(e4,e1),op(e1,op(e4,e1)))
| op(op(e4,e1),op(e1,op(e4,e1))) = op(e0,op(e1,op(e4,e1))) ),
introduced(tautology,[equality,[$cnf( $equal(op(op(e4,e1),op(e1,op(e4,e1))),op(op(e4,e1),op(e1,op(e4,e1)))) ),[1,0],$fot(e0)]]) ).
cnf(refute_0_1023,plain,
( op(e4,e1) != e0
| op(op(e4,e1),op(e1,op(e4,e1))) = op(e0,op(e1,op(e4,e1))) ),
inference(resolve,[$cnf( $equal(op(op(e4,e1),op(e1,op(e4,e1))),op(op(e4,e1),op(e1,op(e4,e1)))) )],[refute_0_1021,refute_0_1022]) ).
cnf(refute_0_1024,plain,
( e0 != op(e4,e1)
| op(op(e4,e1),op(e1,op(e4,e1))) = op(e0,op(e1,op(e4,e1))) ),
inference(resolve,[$cnf( $equal(op(e4,e1),e0) )],[refute_0_1004,refute_0_1023]) ).
cnf(refute_0_1025,plain,
( op(e0,op(e1,op(e4,e1))) != op(e0,e3)
| op(op(e4,e1),op(e1,op(e4,e1))) != op(e0,op(e1,op(e4,e1)))
| op(op(e4,e1),op(e1,op(e4,e1))) = op(e0,e3) ),
inference(subst,[],[refute_0_18:[bind(X,$fot(op(op(e4,e1),op(e1,op(e4,e1))))),bind(Y,$fot(op(e0,op(e1,op(e4,e1))))),bind(Z,$fot(op(e0,e3)))]]) ).
cnf(refute_0_1026,plain,
( e0 != op(e4,e1)
| op(e0,op(e1,op(e4,e1))) != op(e0,e3)
| op(op(e4,e1),op(e1,op(e4,e1))) = op(e0,e3) ),
inference(resolve,[$cnf( $equal(op(op(e4,e1),op(e1,op(e4,e1))),op(e0,op(e1,op(e4,e1)))) )],[refute_0_1024,refute_0_1025]) ).
cnf(refute_0_1027,plain,
( e0 != op(e4,e1)
| e3 != op(e1,e0)
| op(op(e4,e1),op(e1,op(e4,e1))) = op(e0,e3) ),
inference(resolve,[$cnf( $equal(op(e0,op(e1,op(e4,e1))),op(e0,e3)) )],[refute_0_1020,refute_0_1026]) ).
cnf(refute_0_1028,plain,
( e2 != op(e0,e3)
| op(op(e4,e1),op(e1,op(e4,e1))) != op(e0,e3)
| e2 = op(op(e4,e1),op(e1,op(e4,e1))) ),
introduced(tautology,[equality,[$cnf( ~ $equal(e2,op(op(e4,e1),op(e1,op(e4,e1)))) ),[1],$fot(op(e0,e3))]]) ).
cnf(refute_0_1029,plain,
( e0 != op(e4,e1)
| e2 != op(e0,e3)
| e3 != op(e1,e0)
| e2 = op(op(e4,e1),op(e1,op(e4,e1))) ),
inference(resolve,[$cnf( $equal(op(op(e4,e1),op(e1,op(e4,e1))),op(e0,e3)) )],[refute_0_1027,refute_0_1028]) ).
cnf(refute_0_1030,plain,
( e0 != op(e4,e1)
| e2 != op(e0,e3)
| e3 != op(e1,e0) ),
inference(resolve,[$cnf( $equal(e2,op(op(e4,e1),op(e1,op(e4,e1)))) )],[refute_0_1029,refute_0_1011]) ).
cnf(refute_0_1031,plain,
( op(e4,e0) = e0
| op(e4,e1) = e0
| op(e4,e2) = e0
| op(e4,e3) = e0
| op(e4,e4) = e0 ),
inference(canonicalize,[],[normalize_0_106]) ).
cnf(refute_0_1032,plain,
op(e0,e0) != op(e4,e0),
inference(canonicalize,[],[normalize_0_107]) ).
cnf(refute_0_1033,plain,
( e0 != op(e4,e0)
| op(e0,e0) != e0
| op(e0,e0) = op(e4,e0) ),
introduced(tautology,[equality,[$cnf( $equal(op(e0,e0),e0) ),[1],$fot(op(e4,e0))]]) ).
cnf(refute_0_1034,plain,
( e0 != op(e4,e0)
| op(e0,e0) = op(e4,e0) ),
inference(resolve,[$cnf( $equal(op(e0,e0),e0) )],[refute_0_175,refute_0_1033]) ).
cnf(refute_0_1035,plain,
e0 != op(e4,e0),
inference(resolve,[$cnf( $equal(op(e0,e0),op(e4,e0)) )],[refute_0_1034,refute_0_1032]) ).
cnf(refute_0_1036,plain,
( op(e4,e0) != e0
| e0 = op(e4,e0) ),
inference(subst,[],[refute_0_16:[bind(X,$fot(op(e4,e0))),bind(Y,$fot(e0))]]) ).
cnf(refute_0_1037,plain,
op(e4,e0) != e0,
inference(resolve,[$cnf( $equal(e0,op(e4,e0)) )],[refute_0_1036,refute_0_1035]) ).
cnf(refute_0_1038,plain,
( op(e4,e1) = e0
| op(e4,e2) = e0
| op(e4,e3) = e0
| op(e4,e4) = e0 ),
inference(resolve,[$cnf( $equal(op(e4,e0),e0) )],[refute_0_1031,refute_0_1037]) ).
cnf(refute_0_1039,plain,
( op(op(e4,e4),op(e4,e4)) != e4
| op(e0,op(e4,e4)) = e4
| op(e4,e1) = e0
| op(e4,e2) = e0
| op(e4,e3) = e0 ),
inference(resolve,[$cnf( $equal(op(e4,e4),e0) )],[refute_0_1038,refute_0_348]) ).
cnf(refute_0_1040,plain,
( op(e0,op(e4,e4)) = e4
| op(e4,e1) = e0
| op(e4,e2) = e0
| op(e4,e3) = e0 ),
inference(resolve,[$cnf( $equal(op(op(e4,e4),op(e4,e4)),e4) )],[refute_0_345,refute_0_1039]) ).
cnf(refute_0_1041,plain,
( op(e0,op(e4,e4)) != e4
| op(e0,e0) = e4
| op(e4,e1) = e0
| op(e4,e2) = e0
| op(e4,e3) = e0 ),
inference(resolve,[$cnf( $equal(op(e4,e4),e0) )],[refute_0_1038,refute_0_351]) ).
cnf(refute_0_1042,plain,
( op(e0,e0) = e4
| op(e4,e1) = e0
| op(e4,e2) = e0
| op(e4,e3) = e0 ),
inference(resolve,[$cnf( $equal(op(e0,op(e4,e4)),e4) )],[refute_0_1040,refute_0_1041]) ).
cnf(refute_0_1043,plain,
( e0 = e4
| op(e4,e1) = e0
| op(e4,e2) = e0
| op(e4,e3) = e0 ),
inference(resolve,[$cnf( $equal(op(e0,e0),e4) )],[refute_0_1042,refute_0_177]) ).
cnf(refute_0_1044,plain,
( op(e4,e1) = e0
| op(e4,e2) = e0
| op(e4,e3) = e0 ),
inference(resolve,[$cnf( $equal(e0,e4) )],[refute_0_1043,refute_0_53]) ).
cnf(refute_0_1045,plain,
( op(e4,e3) != e0
| op(op(e4,e3),e3) != e4
| op(e0,e3) = e4 ),
introduced(tautology,[equality,[$cnf( $equal(op(op(e4,e3),e3),e4) ),[0,0],$fot(e0)]]) ).
cnf(refute_0_1046,plain,
( op(op(e4,e3),e3) != e4
| op(e0,e3) = e4
| op(e4,e1) = e0
| op(e4,e2) = e0 ),
inference(resolve,[$cnf( $equal(op(e4,e3),e0) )],[refute_0_1044,refute_0_1045]) ).
cnf(refute_0_1047,plain,
( op(e0,e3) = e4
| op(e4,e1) = e0
| op(e4,e2) = e0 ),
inference(resolve,[$cnf( $equal(op(op(e4,e3),e3),e4) )],[refute_0_789,refute_0_1046]) ).
cnf(refute_0_1048,plain,
( op(e4,e2) != e0
| op(op(e4,e2),e2) != e4
| op(e0,e2) = e4 ),
introduced(tautology,[equality,[$cnf( $equal(op(op(e4,e2),e2),e4) ),[0,0],$fot(e0)]]) ).
cnf(refute_0_1049,plain,
( op(op(e4,e2),e2) != e4
| op(e0,e2) = e4
| op(e0,e3) = e4
| op(e4,e1) = e0 ),
inference(resolve,[$cnf( $equal(op(e4,e2),e0) )],[refute_0_1047,refute_0_1048]) ).
cnf(refute_0_1050,plain,
( op(e0,e2) = e4
| op(e0,e3) = e4
| op(e4,e1) = e0 ),
inference(resolve,[$cnf( $equal(op(op(e4,e2),e2),e4) )],[refute_0_616,refute_0_1049]) ).
cnf(refute_0_1051,plain,
( e0 != e0
| op(e4,e1) != e0
| e0 = op(e4,e1) ),
introduced(tautology,[equality,[$cnf( ~ $equal(e0,op(e4,e1)) ),[1],$fot(e0)]]) ).
cnf(refute_0_1052,plain,
( e0 != e0
| e0 = op(e4,e1)
| op(e0,e2) = e4
| op(e0,e3) = e4 ),
inference(resolve,[$cnf( $equal(op(e4,e1),e0) )],[refute_0_1050,refute_0_1051]) ).
cnf(refute_0_1053,plain,
( e0 != e0
| e2 != op(e0,e3)
| e3 != op(e1,e0)
| op(e0,e2) = e4
| op(e0,e3) = e4 ),
inference(resolve,[$cnf( $equal(e0,op(e4,e1)) )],[refute_0_1052,refute_0_1030]) ).
cnf(refute_0_1054,plain,
( e2 != op(e0,e3)
| e3 != op(e1,e0)
| op(e0,e2) = e4
| op(e0,e3) = e4 ),
inference(resolve,[$cnf( $equal(e0,e0) )],[refute_0_323,refute_0_1053]) ).
cnf(refute_0_1055,plain,
( e2 != e2
| e2 != op(e0,e3)
| op(e0,e3) = e2 ),
introduced(tautology,[equality,[$cnf( $equal(e2,e2) ),[0],$fot(op(e0,e3))]]) ).
cnf(refute_0_1056,plain,
( e2 != op(e0,e3)
| op(e0,e3) = e2 ),
inference(resolve,[$cnf( $equal(e2,e2) )],[refute_0_212,refute_0_1055]) ).
cnf(refute_0_1057,plain,
( op(e0,e3) != e2
| op(e0,e3) != e4
| e2 = e4 ),
introduced(tautology,[equality,[$cnf( $equal(op(e0,e3),e4) ),[0],$fot(e2)]]) ).
cnf(refute_0_1058,plain,
( e2 != op(e0,e3)
| op(e0,e3) != e4
| e2 = e4 ),
inference(resolve,[$cnf( $equal(op(e0,e3),e2) )],[refute_0_1056,refute_0_1057]) ).
cnf(refute_0_1059,plain,
( e2 != op(e0,e3)
| e3 != op(e1,e0)
| e2 = e4
| op(e0,e2) = e4 ),
inference(resolve,[$cnf( $equal(op(e0,e3),e4) )],[refute_0_1054,refute_0_1058]) ).
cnf(refute_0_1060,plain,
( e2 != op(e0,e3)
| e3 != op(e1,e0)
| op(e0,e2) = e4 ),
inference(resolve,[$cnf( $equal(e2,e4) )],[refute_0_1059,refute_0_191]) ).
cnf(refute_0_1061,plain,
( e3 != e3
| op(e1,e0) != e3
| e3 = op(e1,e0) ),
introduced(tautology,[equality,[$cnf( ~ $equal(e3,op(e1,e0)) ),[1],$fot(e3)]]) ).
cnf(refute_0_1062,plain,
( e3 != e3
| e3 = op(e1,e0)
| op(e0,e3) = e1 ),
inference(resolve,[$cnf( $equal(op(e1,e0),e3) )],[refute_0_997,refute_0_1061]) ).
cnf(refute_0_1063,plain,
( e2 != op(e0,e3)
| e3 != e3
| op(e0,e2) = e4
| op(e0,e3) = e1 ),
inference(resolve,[$cnf( $equal(e3,op(e1,e0)) )],[refute_0_1062,refute_0_1060]) ).
cnf(refute_0_1064,plain,
( e2 != op(e0,e3)
| op(e0,e2) = e4
| op(e0,e3) = e1 ),
inference(resolve,[$cnf( $equal(e3,e3) )],[refute_0_11,refute_0_1063]) ).
cnf(refute_0_1065,plain,
( op(e0,e3) != e1
| op(e0,e3) != e2
| e2 = e1 ),
introduced(tautology,[equality,[$cnf( $equal(op(e0,e3),e1) ),[0],$fot(e2)]]) ).
cnf(refute_0_1066,plain,
( e2 != op(e0,e3)
| op(e0,e3) != e1
| e2 = e1 ),
inference(resolve,[$cnf( $equal(op(e0,e3),e2) )],[refute_0_1056,refute_0_1065]) ).
cnf(refute_0_1067,plain,
( e2 != op(e0,e3)
| e2 = e1
| op(e0,e2) = e4 ),
inference(resolve,[$cnf( $equal(op(e0,e3),e1) )],[refute_0_1064,refute_0_1066]) ).
cnf(refute_0_1068,plain,
( e2 != op(e0,e3)
| op(e0,e2) = e4 ),
inference(resolve,[$cnf( $equal(e2,e1) )],[refute_0_1067,refute_0_288]) ).
cnf(refute_0_1069,plain,
op(e0,e1) != op(e0,e2),
inference(canonicalize,[],[normalize_0_108]) ).
cnf(refute_0_1070,plain,
( e4 != op(e0,e2)
| op(e0,e1) != e4
| op(e0,e1) = op(e0,e2) ),
introduced(tautology,[equality,[$cnf( $equal(op(e0,e1),e4) ),[1],$fot(op(e0,e2))]]) ).
cnf(refute_0_1071,plain,
( e4 != op(e0,e2)
| op(e0,e1) = op(e0,e2) ),
inference(resolve,[$cnf( $equal(op(e0,e1),e4) )],[refute_0_828,refute_0_1070]) ).
cnf(refute_0_1072,plain,
e4 != op(e0,e2),
inference(resolve,[$cnf( $equal(op(e0,e1),op(e0,e2)) )],[refute_0_1071,refute_0_1069]) ).
cnf(refute_0_1073,plain,
( op(e0,e2) != e4
| e4 = op(e0,e2) ),
inference(subst,[],[refute_0_16:[bind(X,$fot(op(e0,e2))),bind(Y,$fot(e4))]]) ).
cnf(refute_0_1074,plain,
op(e0,e2) != e4,
inference(resolve,[$cnf( $equal(e4,op(e0,e2)) )],[refute_0_1073,refute_0_1072]) ).
cnf(refute_0_1075,plain,
e2 != op(e0,e3),
inference(resolve,[$cnf( $equal(op(e0,e2),e4) )],[refute_0_1068,refute_0_1074]) ).
cnf(refute_0_1076,plain,
( op(e0,e3) != e2
| e2 = op(e0,e3) ),
inference(subst,[],[refute_0_16:[bind(X,$fot(op(e0,e3))),bind(Y,$fot(e2))]]) ).
cnf(refute_0_1077,plain,
op(e0,e3) != e2,
inference(resolve,[$cnf( $equal(e2,op(e0,e3)) )],[refute_0_1076,refute_0_1075]) ).
cnf(refute_0_1078,plain,
( op(e0,e3) = e1
| op(e0,e3) = e4
| op(e1,e0) = e4 ),
inference(resolve,[$cnf( $equal(op(e0,e3),e2) )],[refute_0_1001,refute_0_1077]) ).
cnf(refute_0_1079,plain,
( op(e0,e3) = e1
| op(e1,e0) = e4 ),
inference(resolve,[$cnf( $equal(op(e0,e3),e4) )],[refute_0_1078,refute_0_996]) ).
cnf(refute_0_1080,plain,
op(e0,e3) = e1,
inference(resolve,[$cnf( $equal(op(e1,e0),e4) )],[refute_0_1079,refute_0_986]) ).
cnf(refute_0_1081,plain,
op(op(e0,e3),e3) = op(op(e0,e3),e3),
introduced(tautology,[refl,[$fot(op(op(e0,e3),e3))]]) ).
cnf(refute_0_1082,plain,
( op(e0,e3) != e1
| op(op(e0,e3),e3) != op(op(e0,e3),e3)
| op(op(e0,e3),e3) = op(e1,e3) ),
introduced(tautology,[equality,[$cnf( $equal(op(op(e0,e3),e3),op(op(e0,e3),e3)) ),[1,0],$fot(e1)]]) ).
cnf(refute_0_1083,plain,
( op(e0,e3) != e1
| op(op(e0,e3),e3) = op(e1,e3) ),
inference(resolve,[$cnf( $equal(op(op(e0,e3),e3),op(op(e0,e3),e3)) )],[refute_0_1081,refute_0_1082]) ).
cnf(refute_0_1084,plain,
op(op(e0,e3),e3) = op(e1,e3),
inference(resolve,[$cnf( $equal(op(e0,e3),e1) )],[refute_0_1080,refute_0_1083]) ).
cnf(refute_0_1085,plain,
( op(op(e0,e3),e3) != e0
| op(op(e0,e3),e3) != op(e1,e3)
| op(e1,e3) = e0 ),
introduced(tautology,[equality,[$cnf( $equal(op(op(e0,e3),e3),e0) ),[0],$fot(op(e1,e3))]]) ).
cnf(refute_0_1086,plain,
( op(op(e0,e3),e3) != e0
| op(e1,e3) = e0 ),
inference(resolve,[$cnf( $equal(op(op(e0,e3),e3),op(e1,e3)) )],[refute_0_1084,refute_0_1085]) ).
cnf(refute_0_1087,plain,
op(e1,e3) = e0,
inference(resolve,[$cnf( $equal(op(op(e0,e3),e3),e0) )],[refute_0_120,refute_0_1086]) ).
cnf(refute_0_1088,plain,
op(e2,op(e1,e3)) = op(e2,op(e1,e3)),
introduced(tautology,[refl,[$fot(op(e2,op(e1,e3)))]]) ).
cnf(refute_0_1089,plain,
( op(e1,e3) != e0
| op(e2,op(e1,e3)) != op(e2,op(e1,e3))
| op(e2,op(e1,e3)) = op(e2,e0) ),
introduced(tautology,[equality,[$cnf( $equal(op(e2,op(e1,e3)),op(e2,op(e1,e3))) ),[1,1],$fot(e0)]]) ).
cnf(refute_0_1090,plain,
( op(e1,e3) != e0
| op(e2,op(e1,e3)) = op(e2,e0) ),
inference(resolve,[$cnf( $equal(op(e2,op(e1,e3)),op(e2,op(e1,e3))) )],[refute_0_1088,refute_0_1089]) ).
cnf(refute_0_1091,plain,
op(e2,op(e1,e3)) = op(e2,e0),
inference(resolve,[$cnf( $equal(op(e1,e3),e0) )],[refute_0_1087,refute_0_1090]) ).
cnf(refute_0_1092,plain,
( op(e2,op(e1,e3)) != e1
| op(e2,op(e1,e3)) != op(e2,e0)
| op(e2,e0) = e1 ),
introduced(tautology,[equality,[$cnf( $equal(op(e2,op(e1,e3)),e1) ),[0],$fot(op(e2,e0))]]) ).
cnf(refute_0_1093,plain,
( op(e2,op(e1,e3)) != e1
| op(e2,e0) = e1 ),
inference(resolve,[$cnf( $equal(op(e2,op(e1,e3)),op(e2,e0)) )],[refute_0_1091,refute_0_1092]) ).
cnf(refute_0_1094,plain,
op(e2,e0) = e1,
inference(resolve,[$cnf( $equal(op(e2,op(e1,e3)),e1) )],[refute_0_910,refute_0_1093]) ).
cnf(refute_0_1095,plain,
op(op(e2,e0),e0) = op(op(e2,e0),e0),
introduced(tautology,[refl,[$fot(op(op(e2,e0),e0))]]) ).
cnf(refute_0_1096,plain,
( op(e2,e0) != e1
| op(op(e2,e0),e0) != op(op(e2,e0),e0)
| op(op(e2,e0),e0) = op(e1,e0) ),
introduced(tautology,[equality,[$cnf( $equal(op(op(e2,e0),e0),op(op(e2,e0),e0)) ),[1,0],$fot(e1)]]) ).
cnf(refute_0_1097,plain,
( op(e2,e0) != e1
| op(op(e2,e0),e0) = op(e1,e0) ),
inference(resolve,[$cnf( $equal(op(op(e2,e0),e0),op(op(e2,e0),e0)) )],[refute_0_1095,refute_0_1096]) ).
cnf(refute_0_1098,plain,
op(op(e2,e0),e0) = op(e1,e0),
inference(resolve,[$cnf( $equal(op(e2,e0),e1) )],[refute_0_1094,refute_0_1097]) ).
cnf(refute_0_1099,plain,
( op(op(e2,e0),e0) != e2
| op(op(e2,e0),e0) != op(e1,e0)
| op(e1,e0) = e2 ),
introduced(tautology,[equality,[$cnf( $equal(op(op(e2,e0),e0),e2) ),[0],$fot(op(e1,e0))]]) ).
cnf(refute_0_1100,plain,
( op(op(e2,e0),e0) != e2
| op(e1,e0) = e2 ),
inference(resolve,[$cnf( $equal(op(op(e2,e0),e0),op(e1,e0)) )],[refute_0_1098,refute_0_1099]) ).
cnf(refute_0_1101,plain,
op(e1,e0) = e2,
inference(resolve,[$cnf( $equal(op(op(e2,e0),e0),e2) )],[refute_0_96,refute_0_1100]) ).
cnf(refute_0_1102,plain,
op(e4,op(e1,e0)) = op(e4,op(e1,e0)),
introduced(tautology,[refl,[$fot(op(e4,op(e1,e0)))]]) ).
cnf(refute_0_1103,plain,
( op(e1,e0) != e2
| op(e4,op(e1,e0)) != op(e4,op(e1,e0))
| op(e4,op(e1,e0)) = op(e4,e2) ),
introduced(tautology,[equality,[$cnf( $equal(op(e4,op(e1,e0)),op(e4,op(e1,e0))) ),[1,1],$fot(e2)]]) ).
cnf(refute_0_1104,plain,
( op(e1,e0) != e2
| op(e4,op(e1,e0)) = op(e4,e2) ),
inference(resolve,[$cnf( $equal(op(e4,op(e1,e0)),op(e4,op(e1,e0))) )],[refute_0_1102,refute_0_1103]) ).
cnf(refute_0_1105,plain,
op(e4,op(e1,e0)) = op(e4,e2),
inference(resolve,[$cnf( $equal(op(e1,e0),e2) )],[refute_0_1101,refute_0_1104]) ).
cnf(refute_0_1106,plain,
( op(e4,op(e1,e0)) != e1
| op(e4,op(e1,e0)) != op(e4,e2)
| op(e4,e2) = e1 ),
introduced(tautology,[equality,[$cnf( $equal(op(e4,op(e1,e0)),e1) ),[0],$fot(op(e4,e2))]]) ).
cnf(refute_0_1107,plain,
( op(e4,op(e1,e0)) != e1
| op(e4,e2) = e1 ),
inference(resolve,[$cnf( $equal(op(e4,op(e1,e0)),op(e4,e2)) )],[refute_0_1105,refute_0_1106]) ).
cnf(refute_0_1108,plain,
op(e4,e2) = e1,
inference(resolve,[$cnf( $equal(op(e4,op(e1,e0)),e1) )],[refute_0_872,refute_0_1107]) ).
cnf(refute_0_1109,plain,
op(op(e4,e2),e2) = op(op(e4,e2),e2),
introduced(tautology,[refl,[$fot(op(op(e4,e2),e2))]]) ).
cnf(refute_0_1110,plain,
( op(e4,e2) != e1
| op(op(e4,e2),e2) != op(op(e4,e2),e2)
| op(op(e4,e2),e2) = op(e1,e2) ),
introduced(tautology,[equality,[$cnf( $equal(op(op(e4,e2),e2),op(op(e4,e2),e2)) ),[1,0],$fot(e1)]]) ).
cnf(refute_0_1111,plain,
( op(e4,e2) != e1
| op(op(e4,e2),e2) = op(e1,e2) ),
inference(resolve,[$cnf( $equal(op(op(e4,e2),e2),op(op(e4,e2),e2)) )],[refute_0_1109,refute_0_1110]) ).
cnf(refute_0_1112,plain,
op(op(e4,e2),e2) = op(e1,e2),
inference(resolve,[$cnf( $equal(op(e4,e2),e1) )],[refute_0_1108,refute_0_1111]) ).
cnf(refute_0_1113,plain,
( op(op(e4,e2),e2) != e4
| op(op(e4,e2),e2) != op(e1,e2)
| op(e1,e2) = e4 ),
introduced(tautology,[equality,[$cnf( $equal(op(op(e4,e2),e2),e4) ),[0],$fot(op(e1,e2))]]) ).
cnf(refute_0_1114,plain,
( op(op(e4,e2),e2) != e4
| op(e1,e2) = e4 ),
inference(resolve,[$cnf( $equal(op(op(e4,e2),e2),op(e1,e2)) )],[refute_0_1112,refute_0_1113]) ).
cnf(refute_0_1115,plain,
op(e1,e2) = e4,
inference(resolve,[$cnf( $equal(op(op(e4,e2),e2),e4) )],[refute_0_616,refute_0_1114]) ).
cnf(refute_0_1116,plain,
op(e3,op(e1,e2)) = op(e3,op(e1,e2)),
introduced(tautology,[refl,[$fot(op(e3,op(e1,e2)))]]) ).
cnf(refute_0_1117,plain,
( op(e1,e2) != e4
| op(e3,op(e1,e2)) != op(e3,op(e1,e2))
| op(e3,op(e1,e2)) = op(e3,e4) ),
introduced(tautology,[equality,[$cnf( $equal(op(e3,op(e1,e2)),op(e3,op(e1,e2))) ),[1,1],$fot(e4)]]) ).
cnf(refute_0_1118,plain,
( op(e1,e2) != e4
| op(e3,op(e1,e2)) = op(e3,e4) ),
inference(resolve,[$cnf( $equal(op(e3,op(e1,e2)),op(e3,op(e1,e2))) )],[refute_0_1116,refute_0_1117]) ).
cnf(refute_0_1119,plain,
op(e3,op(e1,e2)) = op(e3,e4),
inference(resolve,[$cnf( $equal(op(e1,e2),e4) )],[refute_0_1115,refute_0_1118]) ).
cnf(refute_0_1120,plain,
( op(e3,op(e1,e2)) != e1
| op(e3,op(e1,e2)) != op(e3,e4)
| op(e3,e4) = e1 ),
introduced(tautology,[equality,[$cnf( $equal(op(e3,op(e1,e2)),e1) ),[0],$fot(op(e3,e4))]]) ).
cnf(refute_0_1121,plain,
( op(e3,op(e1,e2)) != e1
| op(e3,e4) = e1 ),
inference(resolve,[$cnf( $equal(op(e3,op(e1,e2)),op(e3,e4)) )],[refute_0_1119,refute_0_1120]) ).
cnf(refute_0_1122,plain,
op(e3,e4) = e1,
inference(resolve,[$cnf( $equal(op(e3,op(e1,e2)),e1) )],[refute_0_865,refute_0_1121]) ).
cnf(refute_0_1123,plain,
op(op(e3,e4),e4) = op(op(e3,e4),e4),
introduced(tautology,[refl,[$fot(op(op(e3,e4),e4))]]) ).
cnf(refute_0_1124,plain,
( op(e3,e4) != e1
| op(op(e3,e4),e4) != op(op(e3,e4),e4)
| op(op(e3,e4),e4) = op(e1,e4) ),
introduced(tautology,[equality,[$cnf( $equal(op(op(e3,e4),e4),op(op(e3,e4),e4)) ),[1,0],$fot(e1)]]) ).
cnf(refute_0_1125,plain,
( op(e3,e4) != e1
| op(op(e3,e4),e4) = op(e1,e4) ),
inference(resolve,[$cnf( $equal(op(op(e3,e4),e4),op(op(e3,e4),e4)) )],[refute_0_1123,refute_0_1124]) ).
cnf(refute_0_1126,plain,
op(op(e3,e4),e4) = op(e1,e4),
inference(resolve,[$cnf( $equal(op(e3,e4),e1) )],[refute_0_1122,refute_0_1125]) ).
cnf(refute_0_1127,plain,
( op(op(e3,e4),e4) != e3
| op(op(e3,e4),e4) != op(e1,e4)
| op(e1,e4) = e3 ),
introduced(tautology,[equality,[$cnf( $equal(op(op(e3,e4),e4),e3) ),[0],$fot(op(e1,e4))]]) ).
cnf(refute_0_1128,plain,
( op(op(e3,e4),e4) != e3
| op(e1,e4) = e3 ),
inference(resolve,[$cnf( $equal(op(op(e3,e4),e4),op(e1,e4)) )],[refute_0_1126,refute_0_1127]) ).
cnf(refute_0_1129,plain,
op(e1,e4) = e3,
inference(resolve,[$cnf( $equal(op(op(e3,e4),e4),e3) )],[refute_0_833,refute_0_1128]) ).
cnf(refute_0_1130,plain,
( e3 != e3
| op(e1,e4) != e3
| e3 = op(e1,e4) ),
introduced(tautology,[equality,[$cnf( ~ $equal(e3,op(e1,e4)) ),[1],$fot(e3)]]) ).
cnf(refute_0_1131,plain,
( e3 != e3
| e3 = op(e1,e4) ),
inference(resolve,[$cnf( $equal(op(e1,e4),e3) )],[refute_0_1129,refute_0_1130]) ).
cnf(refute_0_1132,plain,
( e2 != op(e4,e3)
| e3 != e3 ),
inference(resolve,[$cnf( $equal(e3,op(e1,e4)) )],[refute_0_1131,refute_0_832]) ).
cnf(refute_0_1133,plain,
op(op(e1,e2),op(e2,e1)) = op(op(e1,e2),op(e2,e1)),
introduced(tautology,[refl,[$fot(op(op(e1,e2),op(e2,e1)))]]) ).
cnf(refute_0_1134,plain,
( op(e2,e1) != e3
| op(op(e1,e2),op(e2,e1)) != op(op(e1,e2),op(e2,e1))
| op(op(e1,e2),op(e2,e1)) = op(op(e1,e2),e3) ),
introduced(tautology,[equality,[$cnf( $equal(op(op(e1,e2),op(e2,e1)),op(op(e1,e2),op(e2,e1))) ),[1,1],$fot(e3)]]) ).
cnf(refute_0_1135,plain,
( op(e2,e1) != e3
| op(op(e1,e2),op(e2,e1)) = op(op(e1,e2),e3) ),
inference(resolve,[$cnf( $equal(op(op(e1,e2),op(e2,e1)),op(op(e1,e2),op(e2,e1))) )],[refute_0_1133,refute_0_1134]) ).
cnf(refute_0_1136,plain,
op(op(e1,e2),op(e2,e1)) = op(op(e1,e2),e3),
inference(resolve,[$cnf( $equal(op(e2,e1),e3) )],[refute_0_858,refute_0_1135]) ).
cnf(refute_0_1137,plain,
( op(op(e1,e2),op(e2,e1)) != e2
| op(op(e1,e2),op(e2,e1)) != op(op(e1,e2),e3)
| op(op(e1,e2),e3) = e2 ),
introduced(tautology,[equality,[$cnf( $equal(op(op(e1,e2),op(e2,e1)),e2) ),[0],$fot(op(op(e1,e2),e3))]]) ).
cnf(refute_0_1138,plain,
( op(op(e1,e2),op(e2,e1)) != e2
| op(op(e1,e2),e3) = e2 ),
inference(resolve,[$cnf( $equal(op(op(e1,e2),op(e2,e1)),op(op(e1,e2),e3)) )],[refute_0_1136,refute_0_1137]) ).
cnf(refute_0_1139,plain,
op(op(e1,e2),e3) = e2,
inference(resolve,[$cnf( $equal(op(op(e1,e2),op(e2,e1)),e2) )],[refute_0_585,refute_0_1138]) ).
cnf(refute_0_1140,plain,
op(op(e1,e2),e3) = op(op(e1,e2),e3),
introduced(tautology,[refl,[$fot(op(op(e1,e2),e3))]]) ).
cnf(refute_0_1141,plain,
( op(e1,e2) != e4
| op(op(e1,e2),e3) != op(op(e1,e2),e3)
| op(op(e1,e2),e3) = op(e4,e3) ),
introduced(tautology,[equality,[$cnf( $equal(op(op(e1,e2),e3),op(op(e1,e2),e3)) ),[1,0],$fot(e4)]]) ).
cnf(refute_0_1142,plain,
( op(e1,e2) != e4
| op(op(e1,e2),e3) = op(e4,e3) ),
inference(resolve,[$cnf( $equal(op(op(e1,e2),e3),op(op(e1,e2),e3)) )],[refute_0_1140,refute_0_1141]) ).
cnf(refute_0_1143,plain,
op(op(e1,e2),e3) = op(e4,e3),
inference(resolve,[$cnf( $equal(op(e1,e2),e4) )],[refute_0_1115,refute_0_1142]) ).
cnf(refute_0_1144,plain,
( op(op(e1,e2),e3) != e2
| op(op(e1,e2),e3) != op(e4,e3)
| op(e4,e3) = e2 ),
introduced(tautology,[equality,[$cnf( $equal(op(op(e1,e2),e3),e2) ),[0],$fot(op(e4,e3))]]) ).
cnf(refute_0_1145,plain,
( op(op(e1,e2),e3) != e2
| op(e4,e3) = e2 ),
inference(resolve,[$cnf( $equal(op(op(e1,e2),e3),op(e4,e3)) )],[refute_0_1143,refute_0_1144]) ).
cnf(refute_0_1146,plain,
op(e4,e3) = e2,
inference(resolve,[$cnf( $equal(op(op(e1,e2),e3),e2) )],[refute_0_1139,refute_0_1145]) ).
cnf(refute_0_1147,plain,
( e2 != e2
| op(e4,e3) != e2
| e2 = op(e4,e3) ),
introduced(tautology,[equality,[$cnf( ~ $equal(e2,op(e4,e3)) ),[1],$fot(e2)]]) ).
cnf(refute_0_1148,plain,
( e2 != e2
| e2 = op(e4,e3) ),
inference(resolve,[$cnf( $equal(op(e4,e3),e2) )],[refute_0_1146,refute_0_1147]) ).
cnf(refute_0_1149,plain,
( e2 != e2
| e3 != e3 ),
inference(resolve,[$cnf( $equal(e2,op(e4,e3)) )],[refute_0_1148,refute_0_1132]) ).
cnf(refute_0_1150,plain,
e3 != e3,
inference(resolve,[$cnf( $equal(e2,e2) )],[refute_0_212,refute_0_1149]) ).
cnf(refute_0_1151,plain,
$false,
inference(resolve,[$cnf( $equal(e3,e3) )],[refute_0_11,refute_0_1150]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.02/0.11 % Problem : ALG193+1 : TPTP v8.1.0. Released v2.7.0.
% 0.02/0.12 % Command : metis --show proof --show saturation %s
% 0.12/0.33 % Computer : n017.cluster.edu
% 0.12/0.33 % Model : x86_64 x86_64
% 0.12/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33 % Memory : 8042.1875MB
% 0.12/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33 % CPULimit : 300
% 0.12/0.33 % WCLimit : 600
% 0.12/0.33 % DateTime : Thu Jun 9 06:27:19 EDT 2022
% 0.12/0.33 % CPUTime :
% 0.12/0.33 %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
% 48.12/48.30 % SZS status Unsatisfiable for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 48.12/48.30
% 48.12/48.30 % SZS output start CNFRefutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% See solution above
% 48.20/48.40
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