TSTP Solution File: ALG170+1 by Metis---2.4
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- Process Solution
%------------------------------------------------------------------------------
% File : Metis---2.4
% Problem : ALG170+1 : TPTP v8.1.0. Released v2.7.0.
% Transfm : none
% Format : tptp:raw
% Command : metis --show proof --show saturation %s
% Computer : n027.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 17:38:20 EDT 2022
% Result : Theorem 0.93s 1.11s
% Output : CNFRefutation 1.08s
% Verified :
% SZS Type : Refutation
% Derivation depth : 70
% Number of leaves : 417
% Syntax : Number of formulae : 1919 ( 795 unt; 4 def)
% Number of atoms : 7688 (7586 equ)
% Maximal formula atoms : 250 ( 4 avg)
% Number of connectives : 8715 (2946 ~;3880 |;1870 &)
% ( 9 <=>; 10 =>; 0 <=; 0 <~>)
% Maximal formula depth : 101 ( 3 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 7 ( 4 usr; 5 prp; 0-2 aty)
% Number of functors : 6 ( 6 usr; 5 con; 0-2 aty)
% Number of variables : 55 ( 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,
( e0 = op(e4,op(e4,e4))
& e1 = op(e4,e4)
& e2 = op(op(e4,op(e4,e4)),op(e4,e4))
& e3 = op(op(e4,op(e4,e4)),op(e4,op(e4,e4))) ) ).
fof(co1,conjecture,
~ ( ( ( op(e0,e0) != e0
& op(e1,e0) != e1
& op(e2,e0) != e2
& op(e3,e0) != e3
& op(e4,e0) != e4 )
| ( op(e0,e1) != e0
& op(e1,e1) != e1
& op(e2,e1) != e2
& op(e3,e1) != e3
& op(e4,e1) != e4 )
| ( op(e0,e2) != e0
& op(e1,e2) != e1
& op(e2,e2) != e2
& op(e3,e2) != e3
& op(e4,e2) != e4 )
| ( op(e0,e3) != e0
& op(e1,e3) != e1
& op(e2,e3) != e2
& op(e3,e3) != e3
& op(e4,e3) != e4 )
| ( op(e0,e4) != e0
& op(e1,e4) != e1
& op(e2,e4) != e2
& op(e3,e4) != e3
& op(e4,e4) != e4 ) )
& ( ( op(e0,e0) != e0
& op(e0,e1) != e1
& op(e0,e2) != e2
& op(e0,e3) != e3
& op(e0,e4) != e4 )
| ( op(e1,e0) != e0
& op(e1,e1) != e1
& op(e1,e2) != e2
& op(e1,e3) != e3
& op(e1,e4) != e4 )
| ( op(e2,e0) != e0
& op(e2,e1) != e1
& op(e2,e2) != e2
& op(e2,e3) != e3
& op(e2,e4) != e4 )
| ( op(e3,e0) != e0
& op(e3,e1) != e1
& op(e3,e2) != e2
& op(e3,e3) != e3
& op(e3,e4) != e4 )
| ( op(e4,e0) != e0
& op(e4,e1) != e1
& op(e4,e2) != e2
& op(e4,e3) != e3
& op(e4,e4) != e4 ) ) ) ).
fof(definition_0,definition,
( definitionFOFtoCNF_0
<=> ( ( op(e0,e3) != e0
& op(e1,e3) != e1
& op(e2,e3) != e2
& op(e3,e3) != e3
& op(e4,e3) != e4 )
| ( op(e0,e4) != e0
& op(e1,e4) != e1
& op(e2,e4) != e2
& op(e3,e4) != e3
& op(e4,e4) != e4 ) ) ) ).
fof(definition_1,definition,
( definitionFOFtoCNF_1
<=> ( op(e0,e3) = e0
| op(e1,e3) = e1
| op(e2,e3) = e2
| op(e3,e3) = e3
| op(e4,e3) = e4 ) ) ).
fof(definition_2,definition,
( definitionFOFtoCNF_2
<=> ( op(e0,e1) != e0
& op(e1,e1) != e1
& op(e2,e1) != e2
& op(e3,e1) != e3
& op(e4,e1) != e4 ) ) ).
fof(definition_3,definition,
( definitionFOFtoCNF_3
<=> ( op(e1,e0) != e1
& op(e2,e0) != e2
& op(e3,e0) != e3
& op(e4,e0) != e4 ) ) ).
fof(subgoal_0,plain,
( ( ( ( op(e0,e0) != e0
& op(e1,e0) != e1
& op(e2,e0) != e2
& op(e3,e0) != e3
& op(e4,e0) != e4 )
| ( op(e0,e1) != e0
& op(e1,e1) != e1
& op(e2,e1) != e2
& op(e3,e1) != e3
& op(e4,e1) != e4 )
| ( op(e0,e2) != e0
& op(e1,e2) != e1
& op(e2,e2) != e2
& op(e3,e2) != e3
& op(e4,e2) != e4 )
| ( op(e0,e3) != e0
& op(e1,e3) != e1
& op(e2,e3) != e2
& op(e3,e3) != e3
& op(e4,e3) != e4 )
| ( op(e0,e4) != e0
& op(e1,e4) != e1
& op(e2,e4) != e2
& op(e3,e4) != e3
& op(e4,e4) != e4 ) )
& op(e0,e0) != e0
& op(e0,e1) != e1
& op(e0,e2) != e2
& op(e0,e3) != e3 )
=> op(e0,e4) = e4 ),
inference(strip,[],[co1]) ).
fof(subgoal_1,plain,
( ( ( ( op(e0,e0) != e0
& op(e1,e0) != e1
& op(e2,e0) != e2
& op(e3,e0) != e3
& op(e4,e0) != e4 )
| ( op(e0,e1) != e0
& op(e1,e1) != e1
& op(e2,e1) != e2
& op(e3,e1) != e3
& op(e4,e1) != e4 )
| ( op(e0,e2) != e0
& op(e1,e2) != e1
& op(e2,e2) != e2
& op(e3,e2) != e3
& op(e4,e2) != e4 )
| ( op(e0,e3) != e0
& op(e1,e3) != e1
& op(e2,e3) != e2
& op(e3,e3) != e3
& op(e4,e3) != e4 )
| ( op(e0,e4) != e0
& op(e1,e4) != e1
& op(e2,e4) != e2
& op(e3,e4) != e3
& op(e4,e4) != e4 ) )
& ~ ( op(e0,e0) != e0
& op(e0,e1) != e1
& op(e0,e2) != e2
& op(e0,e3) != e3
& op(e0,e4) != e4 )
& op(e1,e0) != e0
& op(e1,e1) != e1
& op(e1,e2) != e2
& op(e1,e3) != e3 )
=> op(e1,e4) = e4 ),
inference(strip,[],[co1]) ).
fof(subgoal_2,plain,
( ( ( ( op(e0,e0) != e0
& op(e1,e0) != e1
& op(e2,e0) != e2
& op(e3,e0) != e3
& op(e4,e0) != e4 )
| ( op(e0,e1) != e0
& op(e1,e1) != e1
& op(e2,e1) != e2
& op(e3,e1) != e3
& op(e4,e1) != e4 )
| ( op(e0,e2) != e0
& op(e1,e2) != e1
& op(e2,e2) != e2
& op(e3,e2) != e3
& op(e4,e2) != e4 )
| ( op(e0,e3) != e0
& op(e1,e3) != e1
& op(e2,e3) != e2
& op(e3,e3) != e3
& op(e4,e3) != e4 )
| ( op(e0,e4) != e0
& op(e1,e4) != e1
& op(e2,e4) != e2
& op(e3,e4) != e3
& op(e4,e4) != e4 ) )
& ~ ( op(e0,e0) != e0
& op(e0,e1) != e1
& op(e0,e2) != e2
& op(e0,e3) != e3
& op(e0,e4) != e4 )
& ~ ( op(e1,e0) != e0
& op(e1,e1) != e1
& op(e1,e2) != e2
& op(e1,e3) != e3
& op(e1,e4) != e4 )
& op(e2,e0) != e0
& op(e2,e1) != e1
& op(e2,e2) != e2
& op(e2,e3) != e3 )
=> op(e2,e4) = e4 ),
inference(strip,[],[co1]) ).
fof(subgoal_3,plain,
( ( ( ( op(e0,e0) != e0
& op(e1,e0) != e1
& op(e2,e0) != e2
& op(e3,e0) != e3
& op(e4,e0) != e4 )
| ( op(e0,e1) != e0
& op(e1,e1) != e1
& op(e2,e1) != e2
& op(e3,e1) != e3
& op(e4,e1) != e4 )
| ( op(e0,e2) != e0
& op(e1,e2) != e1
& op(e2,e2) != e2
& op(e3,e2) != e3
& op(e4,e2) != e4 )
| ( op(e0,e3) != e0
& op(e1,e3) != e1
& op(e2,e3) != e2
& op(e3,e3) != e3
& op(e4,e3) != e4 )
| ( op(e0,e4) != e0
& op(e1,e4) != e1
& op(e2,e4) != e2
& op(e3,e4) != e3
& op(e4,e4) != e4 ) )
& ~ ( op(e0,e0) != e0
& op(e0,e1) != e1
& op(e0,e2) != e2
& op(e0,e3) != e3
& op(e0,e4) != e4 )
& ~ ( op(e1,e0) != e0
& op(e1,e1) != e1
& op(e1,e2) != e2
& op(e1,e3) != e3
& op(e1,e4) != e4 )
& ~ ( op(e2,e0) != e0
& op(e2,e1) != e1
& op(e2,e2) != e2
& op(e2,e3) != e3
& op(e2,e4) != e4 )
& op(e3,e0) != e0
& op(e3,e1) != e1
& op(e3,e2) != e2
& op(e3,e3) != e3 )
=> op(e3,e4) = e4 ),
inference(strip,[],[co1]) ).
fof(subgoal_4,plain,
( ( ( ( op(e0,e0) != e0
& op(e1,e0) != e1
& op(e2,e0) != e2
& op(e3,e0) != e3
& op(e4,e0) != e4 )
| ( op(e0,e1) != e0
& op(e1,e1) != e1
& op(e2,e1) != e2
& op(e3,e1) != e3
& op(e4,e1) != e4 )
| ( op(e0,e2) != e0
& op(e1,e2) != e1
& op(e2,e2) != e2
& op(e3,e2) != e3
& op(e4,e2) != e4 )
| ( op(e0,e3) != e0
& op(e1,e3) != e1
& op(e2,e3) != e2
& op(e3,e3) != e3
& op(e4,e3) != e4 )
| ( op(e0,e4) != e0
& op(e1,e4) != e1
& op(e2,e4) != e2
& op(e3,e4) != e3
& op(e4,e4) != e4 ) )
& ~ ( op(e0,e0) != e0
& op(e0,e1) != e1
& op(e0,e2) != e2
& op(e0,e3) != e3
& op(e0,e4) != e4 )
& ~ ( op(e1,e0) != e0
& op(e1,e1) != e1
& op(e1,e2) != e2
& op(e1,e3) != e3
& op(e1,e4) != e4 )
& ~ ( op(e2,e0) != e0
& op(e2,e1) != e1
& op(e2,e2) != e2
& op(e2,e3) != e3
& op(e2,e4) != e4 )
& ~ ( op(e3,e0) != e0
& op(e3,e1) != e1
& op(e3,e2) != e2
& op(e3,e3) != e3
& op(e3,e4) != e4 )
& op(e4,e0) != e0
& op(e4,e1) != e1
& op(e4,e2) != e2
& op(e4,e3) != e3 )
=> op(e4,e4) = e4 ),
inference(strip,[],[co1]) ).
fof(negate_0_0,plain,
~ ( ( ( ( op(e0,e0) != e0
& op(e1,e0) != e1
& op(e2,e0) != e2
& op(e3,e0) != e3
& op(e4,e0) != e4 )
| ( op(e0,e1) != e0
& op(e1,e1) != e1
& op(e2,e1) != e2
& op(e3,e1) != e3
& op(e4,e1) != e4 )
| ( op(e0,e2) != e0
& op(e1,e2) != e1
& op(e2,e2) != e2
& op(e3,e2) != e3
& op(e4,e2) != e4 )
| ( op(e0,e3) != e0
& op(e1,e3) != e1
& op(e2,e3) != e2
& op(e3,e3) != e3
& op(e4,e3) != e4 )
| ( op(e0,e4) != e0
& op(e1,e4) != e1
& op(e2,e4) != e2
& op(e3,e4) != e3
& op(e4,e4) != e4 ) )
& op(e0,e0) != e0
& op(e0,e1) != e1
& op(e0,e2) != e2
& op(e0,e3) != e3 )
=> op(e0,e4) = e4 ),
inference(negate,[],[subgoal_0]) ).
fof(normalize_0_0,plain,
( ~ definitionFOFtoCNF_0
<=> ( ( op(e0,e3) = e0
| op(e1,e3) = e1
| op(e2,e3) = e2
| op(e3,e3) = e3
| op(e4,e3) = e4 )
& ( op(e0,e4) = e0
| op(e1,e4) = e1
| op(e2,e4) = e2
| op(e3,e4) = e3
| op(e4,e4) = e4 ) ) ),
inference(canonicalize,[],[definition_0]) ).
fof(normalize_0_1,plain,
( ~ definitionFOFtoCNF_1
<=> ( op(e0,e3) != e0
& op(e1,e3) != e1
& op(e2,e3) != e2
& op(e3,e3) != e3
& op(e4,e3) != e4 ) ),
inference(canonicalize,[],[definition_1]) ).
fof(normalize_0_2,plain,
( ~ definitionFOFtoCNF_0
<=> ( definitionFOFtoCNF_1
& ( op(e0,e4) = e0
| op(e1,e4) = e1
| op(e2,e4) = e2
| op(e3,e4) = e3
| op(e4,e4) = e4 ) ) ),
inference(simplify,[],[normalize_0_0,normalize_0_1]) ).
fof(normalize_0_3,plain,
( ( definitionFOFtoCNF_0
| definitionFOFtoCNF_1 )
& ( op(e0,e4) != e0
| ~ definitionFOFtoCNF_0
| ~ definitionFOFtoCNF_1 )
& ( op(e1,e4) != e1
| ~ definitionFOFtoCNF_0
| ~ definitionFOFtoCNF_1 )
& ( op(e2,e4) != e2
| ~ definitionFOFtoCNF_0
| ~ definitionFOFtoCNF_1 )
& ( op(e3,e4) != e3
| ~ definitionFOFtoCNF_0
| ~ definitionFOFtoCNF_1 )
& ( op(e4,e4) != e4
| ~ definitionFOFtoCNF_0
| ~ definitionFOFtoCNF_1 )
& ( op(e0,e4) = e0
| op(e1,e4) = e1
| op(e2,e4) = e2
| op(e3,e4) = e3
| op(e4,e4) = e4
| definitionFOFtoCNF_0 ) ),
inference(clausify,[],[normalize_0_2]) ).
fof(normalize_0_4,plain,
( op(e0,e4) != e0
| ~ definitionFOFtoCNF_0
| ~ definitionFOFtoCNF_1 ),
inference(conjunct,[],[normalize_0_3]) ).
fof(normalize_0_5,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_6,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_5]) ).
fof(normalize_0_7,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_8,plain,
op(e0,e4) != op(e4,e4),
inference(conjunct,[],[normalize_0_7]) ).
fof(normalize_0_9,plain,
( e0 = op(e4,op(e4,e4))
& e1 = op(e4,e4)
& e2 = op(op(e4,op(e4,e4)),op(e4,e4))
& e3 = op(op(e4,op(e4,e4)),op(e4,op(e4,e4))) ),
inference(canonicalize,[],[ax6]) ).
fof(normalize_0_10,plain,
e1 = op(e4,e4),
inference(conjunct,[],[normalize_0_9]) ).
fof(normalize_0_11,plain,
op(e0,e1) != op(e0,e4),
inference(conjunct,[],[normalize_0_7]) ).
fof(normalize_0_12,plain,
e2 = op(op(e4,op(e4,e4)),op(e4,e4)),
inference(conjunct,[],[normalize_0_9]) ).
fof(normalize_0_13,plain,
e0 = op(e4,op(e4,e4)),
inference(conjunct,[],[normalize_0_9]) ).
fof(normalize_0_14,plain,
op(e0,e0) != op(e0,e4),
inference(conjunct,[],[normalize_0_7]) ).
fof(normalize_0_15,plain,
e3 = op(op(e4,op(e4,e4)),op(e4,op(e4,e4))),
inference(conjunct,[],[normalize_0_9]) ).
fof(normalize_0_16,plain,
( op(e0,e0) != e0
& op(e0,e1) != e1
& op(e0,e2) != e2
& op(e0,e3) != e3
& op(e0,e4) != e4
& ( ( op(e0,e0) != e0
& op(e1,e0) != e1
& op(e2,e0) != e2
& op(e3,e0) != e3
& op(e4,e0) != e4 )
| ( op(e0,e1) != e0
& op(e1,e1) != e1
& op(e2,e1) != e2
& op(e3,e1) != e3
& op(e4,e1) != e4 )
| ( op(e0,e2) != e0
& op(e1,e2) != e1
& op(e2,e2) != e2
& op(e3,e2) != e3
& op(e4,e2) != e4 )
| ( op(e0,e3) != e0
& op(e1,e3) != e1
& op(e2,e3) != e2
& op(e3,e3) != e3
& op(e4,e3) != e4 )
| ( op(e0,e4) != e0
& op(e1,e4) != e1
& op(e2,e4) != e2
& op(e3,e4) != e3
& op(e4,e4) != e4 ) ) ),
inference(canonicalize,[],[negate_0_0]) ).
fof(normalize_0_17,plain,
op(e0,e4) != e4,
inference(conjunct,[],[normalize_0_16]) ).
fof(normalize_0_18,plain,
( ( op(e0,e3) != e0
| definitionFOFtoCNF_1 )
& ( op(e1,e3) != e1
| definitionFOFtoCNF_1 )
& ( op(e2,e3) != e2
| definitionFOFtoCNF_1 )
& ( op(e3,e3) != e3
| definitionFOFtoCNF_1 )
& ( op(e4,e3) != e4
| definitionFOFtoCNF_1 )
& ( ~ definitionFOFtoCNF_1
| op(e0,e3) = e0
| op(e1,e3) = e1
| op(e2,e3) = e2
| op(e3,e3) = e3
| op(e4,e3) = e4 ) ),
inference(clausify,[],[normalize_0_1]) ).
fof(normalize_0_19,plain,
( op(e4,e3) != e4
| definitionFOFtoCNF_1 ),
inference(conjunct,[],[normalize_0_18]) ).
fof(normalize_0_20,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_21,plain,
op(op(e2,e4),op(e4,e2)) = e4,
inference(conjunct,[],[normalize_0_20]) ).
fof(normalize_0_22,plain,
op(e3,e0) != op(e3,e4),
inference(conjunct,[],[normalize_0_7]) ).
fof(normalize_0_23,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_24,plain,
( op(e0,e4) = e4
| op(e1,e4) = e4
| op(e2,e4) = e4
| op(e3,e4) = e4
| op(e4,e4) = e4 ),
inference(conjunct,[],[normalize_0_23]) ).
fof(normalize_0_25,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_26,plain,
e1 != e4,
inference(conjunct,[],[normalize_0_25]) ).
fof(normalize_0_27,plain,
e0 != e4,
inference(conjunct,[],[normalize_0_25]) ).
fof(normalize_0_28,plain,
op(e1,e1) != op(e1,e4),
inference(conjunct,[],[normalize_0_7]) ).
fof(normalize_0_29,plain,
op(op(e4,e4),op(e4,e4)) = e4,
inference(conjunct,[],[normalize_0_20]) ).
fof(normalize_0_30,plain,
op(op(e1,e4),op(e4,e1)) = e4,
inference(conjunct,[],[normalize_0_20]) ).
fof(normalize_0_31,plain,
op(e2,e3) != op(e2,e4),
inference(conjunct,[],[normalize_0_7]) ).
fof(normalize_0_32,plain,
op(e3,e1) != op(e3,e4),
inference(conjunct,[],[normalize_0_7]) ).
fof(normalize_0_33,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_5]) ).
fof(normalize_0_34,plain,
op(e0,e1) != op(e3,e1),
inference(conjunct,[],[normalize_0_7]) ).
fof(normalize_0_35,plain,
op(e3,e1) != op(e3,e3),
inference(conjunct,[],[normalize_0_7]) ).
fof(normalize_0_36,plain,
op(op(e0,e0),op(e0,e0)) = e0,
inference(conjunct,[],[normalize_0_20]) ).
fof(normalize_0_37,plain,
op(e1,e1) != op(e3,e1),
inference(conjunct,[],[normalize_0_7]) ).
fof(normalize_0_38,plain,
( op(e0,e4) = e3
| op(e1,e4) = e3
| op(e2,e4) = e3
| op(e3,e4) = e3
| op(e4,e4) = e3 ),
inference(conjunct,[],[normalize_0_23]) ).
fof(normalize_0_39,plain,
e1 != e3,
inference(conjunct,[],[normalize_0_25]) ).
fof(normalize_0_40,plain,
op(e2,e1) != op(e3,e1),
inference(conjunct,[],[normalize_0_7]) ).
fof(normalize_0_41,plain,
op(op(e0,e1),op(e1,e0)) = e1,
inference(conjunct,[],[normalize_0_20]) ).
fof(normalize_0_42,plain,
op(op(e1,e2),op(e2,e1)) = e2,
inference(conjunct,[],[normalize_0_20]) ).
fof(normalize_0_43,plain,
op(op(e3,e1),op(e1,e3)) = e1,
inference(conjunct,[],[normalize_0_20]) ).
fof(normalize_0_44,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_23]) ).
fof(normalize_0_45,plain,
op(e1,e4) != op(e4,e4),
inference(conjunct,[],[normalize_0_7]) ).
fof(normalize_0_46,plain,
op(op(e1,e3),op(e3,e1)) = e3,
inference(conjunct,[],[normalize_0_20]) ).
fof(normalize_0_47,plain,
e3 != e4,
inference(conjunct,[],[normalize_0_25]) ).
fof(normalize_0_48,plain,
op(e1,e2) != op(e2,e2),
inference(conjunct,[],[normalize_0_7]) ).
fof(normalize_0_49,plain,
( op(e2,e0) = e1
| op(e2,e1) = e1
| op(e2,e2) = e1
| op(e2,e3) = e1
| op(e2,e4) = e1 ),
inference(conjunct,[],[normalize_0_23]) ).
fof(normalize_0_50,plain,
op(e2,e4) != op(e4,e4),
inference(conjunct,[],[normalize_0_7]) ).
fof(normalize_0_51,plain,
op(op(e4,e0),op(e0,e4)) = e0,
inference(conjunct,[],[normalize_0_20]) ).
fof(normalize_0_52,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_5]) ).
fof(normalize_0_53,plain,
op(e4,e0) != op(e4,e4),
inference(conjunct,[],[normalize_0_7]) ).
fof(normalize_0_54,plain,
op(e0,e0) != op(e4,e0),
inference(conjunct,[],[normalize_0_7]) ).
fof(normalize_0_55,plain,
op(e4,e0) != op(e4,e1),
inference(conjunct,[],[normalize_0_7]) ).
fof(normalize_0_56,plain,
e0 != e1,
inference(conjunct,[],[normalize_0_25]) ).
fof(normalize_0_57,plain,
op(e0,e3) != op(e2,e3),
inference(conjunct,[],[normalize_0_7]) ).
fof(normalize_0_58,plain,
( op(e0,e0) = e1
| op(e0,e1) = e1
| op(e0,e2) = e1
| op(e0,e3) = e1
| op(e0,e4) = e1 ),
inference(conjunct,[],[normalize_0_23]) ).
fof(normalize_0_59,plain,
e1 != e2,
inference(conjunct,[],[normalize_0_25]) ).
fof(normalize_0_60,plain,
op(op(e0,e4),op(e4,e0)) = e4,
inference(conjunct,[],[normalize_0_20]) ).
fof(normalize_0_61,plain,
e2 != e4,
inference(conjunct,[],[normalize_0_25]) ).
fof(normalize_0_62,plain,
op(op(e3,e2),op(e2,e3)) = e2,
inference(conjunct,[],[normalize_0_20]) ).
fof(normalize_0_63,plain,
op(e4,e0) != op(e4,e3),
inference(conjunct,[],[normalize_0_7]) ).
fof(normalize_0_64,plain,
( op(e0,e3) = e2
| op(e1,e3) = e2
| op(e2,e3) = e2
| op(e3,e3) = e2
| op(e4,e3) = e2 ),
inference(conjunct,[],[normalize_0_23]) ).
fof(normalize_0_65,plain,
op(e0,e1) != op(e0,e3),
inference(conjunct,[],[normalize_0_7]) ).
fof(normalize_0_66,plain,
e0 != e2,
inference(conjunct,[],[normalize_0_25]) ).
fof(normalize_0_67,plain,
op(op(e1,e0),op(e0,e1)) = e0,
inference(conjunct,[],[normalize_0_20]) ).
fof(normalize_0_68,plain,
( op(e0,e2) = e1
| op(e1,e2) = e1
| op(e2,e2) = e1
| op(e3,e2) = e1
| op(e4,e2) = e1 ),
inference(conjunct,[],[normalize_0_23]) ).
fof(normalize_0_69,plain,
op(e4,e2) != op(e4,e4),
inference(conjunct,[],[normalize_0_7]) ).
fof(normalize_0_70,plain,
op(e2,e1) != op(e2,e2),
inference(conjunct,[],[normalize_0_7]) ).
fof(normalize_0_71,plain,
( op(e4,e0) = e3
| op(e4,e1) = e3
| op(e4,e2) = e3
| op(e4,e3) = e3
| op(e4,e4) = e3 ),
inference(conjunct,[],[normalize_0_23]) ).
fof(normalize_0_72,plain,
op(e0,e0) != e0,
inference(conjunct,[],[normalize_0_16]) ).
fof(normalize_0_73,plain,
op(e2,e3) != op(e4,e3),
inference(conjunct,[],[normalize_0_7]) ).
fof(normalize_0_74,plain,
( ( op(e0,e0) != e0
& op(e1,e0) != e1
& op(e2,e0) != e2
& op(e3,e0) != e3
& op(e4,e0) != e4 )
| ( op(e0,e1) != e0
& op(e1,e1) != e1
& op(e2,e1) != e2
& op(e3,e1) != e3
& op(e4,e1) != e4 )
| ( op(e0,e2) != e0
& op(e1,e2) != e1
& op(e2,e2) != e2
& op(e3,e2) != e3
& op(e4,e2) != e4 )
| ( op(e0,e3) != e0
& op(e1,e3) != e1
& op(e2,e3) != e2
& op(e3,e3) != e3
& op(e4,e3) != e4 )
| ( op(e0,e4) != e0
& op(e1,e4) != e1
& op(e2,e4) != e2
& op(e3,e4) != e3
& op(e4,e4) != e4 ) ),
inference(conjunct,[],[normalize_0_16]) ).
fof(normalize_0_75,plain,
( ( op(e1,e0) != e1
& op(e2,e0) != e2
& op(e3,e0) != e3
& op(e4,e0) != e4 )
| ( op(e0,e1) != e0
& op(e1,e1) != e1
& op(e2,e1) != e2
& op(e3,e1) != e3
& op(e4,e1) != e4 )
| ( op(e0,e2) != e0
& op(e1,e2) != e1
& op(e2,e2) != e2
& op(e3,e2) != e3
& op(e4,e2) != e4 )
| ( op(e0,e3) != e0
& op(e1,e3) != e1
& op(e2,e3) != e2
& op(e3,e3) != e3
& op(e4,e3) != e4 )
| ( op(e0,e4) != e0
& op(e1,e4) != e1
& op(e2,e4) != e2
& op(e3,e4) != e3
& op(e4,e4) != e4 ) ),
inference(simplify,[],[normalize_0_74,normalize_0_72]) ).
fof(normalize_0_76,plain,
( definitionFOFtoCNF_0
| ( op(e1,e0) != e1
& op(e2,e0) != e2
& op(e3,e0) != e3
& op(e4,e0) != e4 )
| ( op(e0,e1) != e0
& op(e1,e1) != e1
& op(e2,e1) != e2
& op(e3,e1) != e3
& op(e4,e1) != e4 )
| ( op(e0,e2) != e0
& op(e1,e2) != e1
& op(e2,e2) != e2
& op(e3,e2) != e3
& op(e4,e2) != e4 ) ),
inference(simplify,[],[normalize_0_75,normalize_0_2,normalize_0_1]) ).
fof(normalize_0_77,plain,
( ~ definitionFOFtoCNF_2
<=> ( op(e0,e1) = e0
| op(e1,e1) = e1
| op(e2,e1) = e2
| op(e3,e1) = e3
| op(e4,e1) = e4 ) ),
inference(canonicalize,[],[definition_2]) ).
fof(normalize_0_78,plain,
( definitionFOFtoCNF_0
| definitionFOFtoCNF_2
| ( op(e1,e0) != e1
& op(e2,e0) != e2
& op(e3,e0) != e3
& op(e4,e0) != e4 )
| ( op(e0,e2) != e0
& op(e1,e2) != e1
& op(e2,e2) != e2
& op(e3,e2) != e3
& op(e4,e2) != e4 ) ),
inference(simplify,[],[normalize_0_76,normalize_0_77]) ).
fof(normalize_0_79,plain,
( ~ definitionFOFtoCNF_3
<=> ( op(e1,e0) = e1
| op(e2,e0) = e2
| op(e3,e0) = e3
| op(e4,e0) = e4 ) ),
inference(canonicalize,[],[definition_3]) ).
fof(normalize_0_80,plain,
( definitionFOFtoCNF_0
| definitionFOFtoCNF_2
| definitionFOFtoCNF_3
| ( op(e0,e2) != e0
& op(e1,e2) != e1
& op(e2,e2) != e2
& op(e3,e2) != e3
& op(e4,e2) != e4 ) ),
inference(simplify,[],[normalize_0_78,normalize_0_79]) ).
fof(normalize_0_81,plain,
( ( op(e0,e2) != e0
| definitionFOFtoCNF_0
| definitionFOFtoCNF_2
| definitionFOFtoCNF_3 )
& ( op(e1,e2) != e1
| definitionFOFtoCNF_0
| definitionFOFtoCNF_2
| definitionFOFtoCNF_3 )
& ( op(e2,e2) != e2
| definitionFOFtoCNF_0
| definitionFOFtoCNF_2
| definitionFOFtoCNF_3 )
& ( op(e3,e2) != e3
| definitionFOFtoCNF_0
| definitionFOFtoCNF_2
| definitionFOFtoCNF_3 )
& ( op(e4,e2) != e4
| definitionFOFtoCNF_0
| definitionFOFtoCNF_2
| definitionFOFtoCNF_3 ) ),
inference(clausify,[],[normalize_0_80]) ).
fof(normalize_0_82,plain,
( op(e2,e2) != e2
| definitionFOFtoCNF_0
| definitionFOFtoCNF_2
| definitionFOFtoCNF_3 ),
inference(conjunct,[],[normalize_0_81]) ).
fof(normalize_0_83,plain,
( op(e0,e2) = e2
| op(e1,e2) = e2
| op(e2,e2) = e2
| op(e3,e2) = e2
| op(e4,e2) = e2 ),
inference(conjunct,[],[normalize_0_23]) ).
fof(normalize_0_84,plain,
op(e0,e1) != op(e0,e2),
inference(conjunct,[],[normalize_0_7]) ).
fof(normalize_0_85,plain,
op(e4,e0) != op(e4,e2),
inference(conjunct,[],[normalize_0_7]) ).
fof(normalize_0_86,plain,
( ( op(e0,e1) != e0
| ~ definitionFOFtoCNF_2 )
& ( op(e1,e1) != e1
| ~ definitionFOFtoCNF_2 )
& ( op(e2,e1) != e2
| ~ definitionFOFtoCNF_2 )
& ( op(e3,e1) != e3
| ~ definitionFOFtoCNF_2 )
& ( op(e4,e1) != e4
| ~ definitionFOFtoCNF_2 )
& ( op(e0,e1) = e0
| op(e1,e1) = e1
| op(e2,e1) = e2
| op(e3,e1) = e3
| op(e4,e1) = e4
| definitionFOFtoCNF_2 ) ),
inference(clausify,[],[normalize_0_77]) ).
fof(normalize_0_87,plain,
( op(e3,e1) != e3
| ~ definitionFOFtoCNF_2 ),
inference(conjunct,[],[normalize_0_86]) ).
fof(normalize_0_88,plain,
( ( op(e1,e0) != e1
| ~ definitionFOFtoCNF_3 )
& ( op(e2,e0) != e2
| ~ definitionFOFtoCNF_3 )
& ( op(e3,e0) != e3
| ~ definitionFOFtoCNF_3 )
& ( op(e4,e0) != e4
| ~ definitionFOFtoCNF_3 )
& ( op(e1,e0) = e1
| op(e2,e0) = e2
| op(e3,e0) = e3
| op(e4,e0) = e4
| definitionFOFtoCNF_3 ) ),
inference(clausify,[],[normalize_0_79]) ).
fof(normalize_0_89,plain,
( op(e1,e0) != e1
| ~ definitionFOFtoCNF_3 ),
inference(conjunct,[],[normalize_0_88]) ).
cnf(refute_0_0,plain,
( op(e0,e4) != e0
| ~ definitionFOFtoCNF_0
| ~ definitionFOFtoCNF_1 ),
inference(canonicalize,[],[normalize_0_4]) ).
cnf(refute_0_1,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_6]) ).
cnf(refute_0_2,plain,
op(e0,e4) != op(e4,e4),
inference(canonicalize,[],[normalize_0_8]) ).
cnf(refute_0_3,plain,
e1 = op(e4,e4),
inference(canonicalize,[],[normalize_0_10]) ).
cnf(refute_0_4,plain,
X = X,
introduced(tautology,[refl,[$fot(X)]]) ).
cnf(refute_0_5,plain,
( X != X
| X != Y
| Y = X ),
introduced(tautology,[equality,[$cnf( $equal(X,X) ),[0],$fot(Y)]]) ).
cnf(refute_0_6,plain,
( X != Y
| Y = X ),
inference(resolve,[$cnf( $equal(X,X) )],[refute_0_4,refute_0_5]) ).
cnf(refute_0_7,plain,
( e1 != op(e4,e4)
| op(e4,e4) = e1 ),
inference(subst,[],[refute_0_6:[bind(X,$fot(e1)),bind(Y,$fot(op(e4,e4)))]]) ).
cnf(refute_0_8,plain,
op(e4,e4) = e1,
inference(resolve,[$cnf( $equal(e1,op(e4,e4)) )],[refute_0_3,refute_0_7]) ).
cnf(refute_0_9,plain,
( op(e0,e4) != e1
| op(e4,e4) != e1
| op(e0,e4) = op(e4,e4) ),
introduced(tautology,[equality,[$cnf( ~ $equal(op(e0,e4),op(e4,e4)) ),[1],$fot(e1)]]) ).
cnf(refute_0_10,plain,
( op(e0,e4) != e1
| op(e0,e4) = op(e4,e4) ),
inference(resolve,[$cnf( $equal(op(e4,e4),e1) )],[refute_0_8,refute_0_9]) ).
cnf(refute_0_11,plain,
op(e0,e4) != e1,
inference(resolve,[$cnf( $equal(op(e0,e4),op(e4,e4)) )],[refute_0_10,refute_0_2]) ).
cnf(refute_0_12,plain,
( op(e0,e4) = e0
| op(e0,e4) = e2
| op(e0,e4) = e3
| op(e0,e4) = e4 ),
inference(resolve,[$cnf( $equal(op(e0,e4),e1) )],[refute_0_1,refute_0_11]) ).
cnf(refute_0_13,plain,
op(e0,e1) != op(e0,e4),
inference(canonicalize,[],[normalize_0_11]) ).
cnf(refute_0_14,plain,
e2 = op(op(e4,op(e4,e4)),op(e4,e4)),
inference(canonicalize,[],[normalize_0_12]) ).
cnf(refute_0_15,plain,
op(e0,op(e4,e4)) = op(e0,op(e4,e4)),
introduced(tautology,[refl,[$fot(op(e0,op(e4,e4)))]]) ).
cnf(refute_0_16,plain,
( op(e0,op(e4,e4)) != op(e0,op(e4,e4))
| op(e4,e4) != e1
| op(e0,op(e4,e4)) = op(e0,e1) ),
introduced(tautology,[equality,[$cnf( $equal(op(e0,op(e4,e4)),op(e0,op(e4,e4))) ),[1,1],$fot(e1)]]) ).
cnf(refute_0_17,plain,
( op(e4,e4) != e1
| op(e0,op(e4,e4)) = op(e0,e1) ),
inference(resolve,[$cnf( $equal(op(e0,op(e4,e4)),op(e0,op(e4,e4))) )],[refute_0_15,refute_0_16]) ).
cnf(refute_0_18,plain,
op(e0,op(e4,e4)) = op(e0,e1),
inference(resolve,[$cnf( $equal(op(e4,e4),e1) )],[refute_0_8,refute_0_17]) ).
cnf(refute_0_19,plain,
e0 = op(e4,op(e4,e4)),
inference(canonicalize,[],[normalize_0_13]) ).
cnf(refute_0_20,plain,
( e0 != op(e4,op(e4,e4))
| op(e4,op(e4,e4)) = e0 ),
inference(subst,[],[refute_0_6:[bind(X,$fot(e0)),bind(Y,$fot(op(e4,op(e4,e4))))]]) ).
cnf(refute_0_21,plain,
op(e4,op(e4,e4)) = e0,
inference(resolve,[$cnf( $equal(e0,op(e4,op(e4,e4))) )],[refute_0_19,refute_0_20]) ).
cnf(refute_0_22,plain,
op(op(e4,op(e4,e4)),op(e4,e4)) = op(op(e4,op(e4,e4)),op(e4,e4)),
introduced(tautology,[refl,[$fot(op(op(e4,op(e4,e4)),op(e4,e4)))]]) ).
cnf(refute_0_23,plain,
( op(e4,op(e4,e4)) != e0
| op(op(e4,op(e4,e4)),op(e4,e4)) != op(op(e4,op(e4,e4)),op(e4,e4))
| op(op(e4,op(e4,e4)),op(e4,e4)) = op(e0,op(e4,e4)) ),
introduced(tautology,[equality,[$cnf( $equal(op(op(e4,op(e4,e4)),op(e4,e4)),op(op(e4,op(e4,e4)),op(e4,e4))) ),[1,0],$fot(e0)]]) ).
cnf(refute_0_24,plain,
( op(e4,op(e4,e4)) != e0
| op(op(e4,op(e4,e4)),op(e4,e4)) = op(e0,op(e4,e4)) ),
inference(resolve,[$cnf( $equal(op(op(e4,op(e4,e4)),op(e4,e4)),op(op(e4,op(e4,e4)),op(e4,e4))) )],[refute_0_22,refute_0_23]) ).
cnf(refute_0_25,plain,
op(op(e4,op(e4,e4)),op(e4,e4)) = op(e0,op(e4,e4)),
inference(resolve,[$cnf( $equal(op(e4,op(e4,e4)),e0) )],[refute_0_21,refute_0_24]) ).
cnf(refute_0_26,plain,
( Y != X
| Y != Z
| X = Z ),
introduced(tautology,[equality,[$cnf( $equal(Y,Z) ),[0],$fot(X)]]) ).
cnf(refute_0_27,plain,
( X != Y
| Y != Z
| X = Z ),
inference(resolve,[$cnf( $equal(Y,X) )],[refute_0_6,refute_0_26]) ).
cnf(refute_0_28,plain,
( op(e0,op(e4,e4)) != op(e0,e1)
| op(op(e4,op(e4,e4)),op(e4,e4)) != op(e0,op(e4,e4))
| op(op(e4,op(e4,e4)),op(e4,e4)) = op(e0,e1) ),
inference(subst,[],[refute_0_27:[bind(X,$fot(op(op(e4,op(e4,e4)),op(e4,e4)))),bind(Y,$fot(op(e0,op(e4,e4)))),bind(Z,$fot(op(e0,e1)))]]) ).
cnf(refute_0_29,plain,
( op(e0,op(e4,e4)) != op(e0,e1)
| op(op(e4,op(e4,e4)),op(e4,e4)) = op(e0,e1) ),
inference(resolve,[$cnf( $equal(op(op(e4,op(e4,e4)),op(e4,e4)),op(e0,op(e4,e4))) )],[refute_0_25,refute_0_28]) ).
cnf(refute_0_30,plain,
op(op(e4,op(e4,e4)),op(e4,e4)) = op(e0,e1),
inference(resolve,[$cnf( $equal(op(e0,op(e4,e4)),op(e0,e1)) )],[refute_0_18,refute_0_29]) ).
cnf(refute_0_31,plain,
( e2 != op(op(e4,op(e4,e4)),op(e4,e4))
| op(op(e4,op(e4,e4)),op(e4,e4)) != op(e0,e1)
| e2 = op(e0,e1) ),
introduced(tautology,[equality,[$cnf( ~ $equal(e2,op(e0,e1)) ),[0],$fot(op(op(e4,op(e4,e4)),op(e4,e4)))]]) ).
cnf(refute_0_32,plain,
( e2 != op(op(e4,op(e4,e4)),op(e4,e4))
| e2 = op(e0,e1) ),
inference(resolve,[$cnf( $equal(op(op(e4,op(e4,e4)),op(e4,e4)),op(e0,e1)) )],[refute_0_30,refute_0_31]) ).
cnf(refute_0_33,plain,
e2 = op(e0,e1),
inference(resolve,[$cnf( $equal(e2,op(op(e4,op(e4,e4)),op(e4,e4))) )],[refute_0_14,refute_0_32]) ).
cnf(refute_0_34,plain,
( e2 != op(e0,e1)
| op(e0,e1) = e2 ),
inference(subst,[],[refute_0_6:[bind(X,$fot(e2)),bind(Y,$fot(op(e0,e1)))]]) ).
cnf(refute_0_35,plain,
op(e0,e1) = e2,
inference(resolve,[$cnf( $equal(e2,op(e0,e1)) )],[refute_0_33,refute_0_34]) ).
cnf(refute_0_36,plain,
( e2 != op(e0,e4)
| op(e0,e1) != e2
| op(e0,e1) = op(e0,e4) ),
introduced(tautology,[equality,[$cnf( $equal(op(e0,e1),e2) ),[1],$fot(op(e0,e4))]]) ).
cnf(refute_0_37,plain,
( e2 != op(e0,e4)
| op(e0,e1) = op(e0,e4) ),
inference(resolve,[$cnf( $equal(op(e0,e1),e2) )],[refute_0_35,refute_0_36]) ).
cnf(refute_0_38,plain,
e2 != op(e0,e4),
inference(resolve,[$cnf( $equal(op(e0,e1),op(e0,e4)) )],[refute_0_37,refute_0_13]) ).
cnf(refute_0_39,plain,
( op(e0,e4) != e2
| e2 = op(e0,e4) ),
inference(subst,[],[refute_0_6:[bind(X,$fot(op(e0,e4))),bind(Y,$fot(e2))]]) ).
cnf(refute_0_40,plain,
op(e0,e4) != e2,
inference(resolve,[$cnf( $equal(e2,op(e0,e4)) )],[refute_0_39,refute_0_38]) ).
cnf(refute_0_41,plain,
( op(e0,e4) = e0
| op(e0,e4) = e3
| op(e0,e4) = e4 ),
inference(resolve,[$cnf( $equal(op(e0,e4),e2) )],[refute_0_12,refute_0_40]) ).
cnf(refute_0_42,plain,
op(e0,e0) != op(e0,e4),
inference(canonicalize,[],[normalize_0_14]) ).
cnf(refute_0_43,plain,
e3 = op(op(e4,op(e4,e4)),op(e4,op(e4,e4))),
inference(canonicalize,[],[normalize_0_15]) ).
cnf(refute_0_44,plain,
op(e0,op(e4,op(e4,e4))) = op(e0,op(e4,op(e4,e4))),
introduced(tautology,[refl,[$fot(op(e0,op(e4,op(e4,e4))))]]) ).
cnf(refute_0_45,plain,
( op(e0,op(e4,op(e4,e4))) != op(e0,op(e4,op(e4,e4)))
| op(e4,op(e4,e4)) != e0
| op(e0,op(e4,op(e4,e4))) = op(e0,e0) ),
introduced(tautology,[equality,[$cnf( $equal(op(e0,op(e4,op(e4,e4))),op(e0,op(e4,op(e4,e4)))) ),[1,1],$fot(e0)]]) ).
cnf(refute_0_46,plain,
( op(e4,op(e4,e4)) != e0
| op(e0,op(e4,op(e4,e4))) = op(e0,e0) ),
inference(resolve,[$cnf( $equal(op(e0,op(e4,op(e4,e4))),op(e0,op(e4,op(e4,e4)))) )],[refute_0_44,refute_0_45]) ).
cnf(refute_0_47,plain,
op(e0,op(e4,op(e4,e4))) = op(e0,e0),
inference(resolve,[$cnf( $equal(op(e4,op(e4,e4)),e0) )],[refute_0_21,refute_0_46]) ).
cnf(refute_0_48,plain,
op(op(e4,op(e4,e4)),op(e4,op(e4,e4))) = op(op(e4,op(e4,e4)),op(e4,op(e4,e4))),
introduced(tautology,[refl,[$fot(op(op(e4,op(e4,e4)),op(e4,op(e4,e4))))]]) ).
cnf(refute_0_49,plain,
( op(e4,op(e4,e4)) != e0
| op(op(e4,op(e4,e4)),op(e4,op(e4,e4))) != op(op(e4,op(e4,e4)),op(e4,op(e4,e4)))
| op(op(e4,op(e4,e4)),op(e4,op(e4,e4))) = op(e0,op(e4,op(e4,e4))) ),
introduced(tautology,[equality,[$cnf( $equal(op(op(e4,op(e4,e4)),op(e4,op(e4,e4))),op(op(e4,op(e4,e4)),op(e4,op(e4,e4)))) ),[1,0],$fot(e0)]]) ).
cnf(refute_0_50,plain,
( op(e4,op(e4,e4)) != e0
| op(op(e4,op(e4,e4)),op(e4,op(e4,e4))) = op(e0,op(e4,op(e4,e4))) ),
inference(resolve,[$cnf( $equal(op(op(e4,op(e4,e4)),op(e4,op(e4,e4))),op(op(e4,op(e4,e4)),op(e4,op(e4,e4)))) )],[refute_0_48,refute_0_49]) ).
cnf(refute_0_51,plain,
op(op(e4,op(e4,e4)),op(e4,op(e4,e4))) = op(e0,op(e4,op(e4,e4))),
inference(resolve,[$cnf( $equal(op(e4,op(e4,e4)),e0) )],[refute_0_21,refute_0_50]) ).
cnf(refute_0_52,plain,
( op(e0,op(e4,op(e4,e4))) != op(e0,e0)
| op(op(e4,op(e4,e4)),op(e4,op(e4,e4))) != op(e0,op(e4,op(e4,e4)))
| op(op(e4,op(e4,e4)),op(e4,op(e4,e4))) = op(e0,e0) ),
inference(subst,[],[refute_0_27:[bind(X,$fot(op(op(e4,op(e4,e4)),op(e4,op(e4,e4))))),bind(Y,$fot(op(e0,op(e4,op(e4,e4))))),bind(Z,$fot(op(e0,e0)))]]) ).
cnf(refute_0_53,plain,
( op(e0,op(e4,op(e4,e4))) != op(e0,e0)
| op(op(e4,op(e4,e4)),op(e4,op(e4,e4))) = op(e0,e0) ),
inference(resolve,[$cnf( $equal(op(op(e4,op(e4,e4)),op(e4,op(e4,e4))),op(e0,op(e4,op(e4,e4)))) )],[refute_0_51,refute_0_52]) ).
cnf(refute_0_54,plain,
op(op(e4,op(e4,e4)),op(e4,op(e4,e4))) = op(e0,e0),
inference(resolve,[$cnf( $equal(op(e0,op(e4,op(e4,e4))),op(e0,e0)) )],[refute_0_47,refute_0_53]) ).
cnf(refute_0_55,plain,
( e3 != op(op(e4,op(e4,e4)),op(e4,op(e4,e4)))
| op(op(e4,op(e4,e4)),op(e4,op(e4,e4))) != op(e0,e0)
| e3 = op(e0,e0) ),
introduced(tautology,[equality,[$cnf( ~ $equal(e3,op(e0,e0)) ),[0],$fot(op(op(e4,op(e4,e4)),op(e4,op(e4,e4))))]]) ).
cnf(refute_0_56,plain,
( e3 != op(op(e4,op(e4,e4)),op(e4,op(e4,e4)))
| e3 = op(e0,e0) ),
inference(resolve,[$cnf( $equal(op(op(e4,op(e4,e4)),op(e4,op(e4,e4))),op(e0,e0)) )],[refute_0_54,refute_0_55]) ).
cnf(refute_0_57,plain,
e3 = op(e0,e0),
inference(resolve,[$cnf( $equal(e3,op(op(e4,op(e4,e4)),op(e4,op(e4,e4)))) )],[refute_0_43,refute_0_56]) ).
cnf(refute_0_58,plain,
( e3 != op(e0,e0)
| op(e0,e0) = e3 ),
inference(subst,[],[refute_0_6:[bind(X,$fot(e3)),bind(Y,$fot(op(e0,e0)))]]) ).
cnf(refute_0_59,plain,
op(e0,e0) = e3,
inference(resolve,[$cnf( $equal(e3,op(e0,e0)) )],[refute_0_57,refute_0_58]) ).
cnf(refute_0_60,plain,
( e3 != op(e0,e4)
| op(e0,e0) != e3
| op(e0,e0) = op(e0,e4) ),
introduced(tautology,[equality,[$cnf( $equal(op(e0,e0),e3) ),[1],$fot(op(e0,e4))]]) ).
cnf(refute_0_61,plain,
( e3 != op(e0,e4)
| op(e0,e0) = op(e0,e4) ),
inference(resolve,[$cnf( $equal(op(e0,e0),e3) )],[refute_0_59,refute_0_60]) ).
cnf(refute_0_62,plain,
e3 != op(e0,e4),
inference(resolve,[$cnf( $equal(op(e0,e0),op(e0,e4)) )],[refute_0_61,refute_0_42]) ).
cnf(refute_0_63,plain,
( op(e0,e4) != e3
| e3 = op(e0,e4) ),
inference(subst,[],[refute_0_6:[bind(X,$fot(op(e0,e4))),bind(Y,$fot(e3))]]) ).
cnf(refute_0_64,plain,
op(e0,e4) != e3,
inference(resolve,[$cnf( $equal(e3,op(e0,e4)) )],[refute_0_63,refute_0_62]) ).
cnf(refute_0_65,plain,
( op(e0,e4) = e0
| op(e0,e4) = e4 ),
inference(resolve,[$cnf( $equal(op(e0,e4),e3) )],[refute_0_41,refute_0_64]) ).
cnf(refute_0_66,plain,
op(e0,e4) != e4,
inference(canonicalize,[],[normalize_0_17]) ).
cnf(refute_0_67,plain,
op(e0,e4) = e0,
inference(resolve,[$cnf( $equal(op(e0,e4),e4) )],[refute_0_65,refute_0_66]) ).
cnf(refute_0_68,plain,
( e0 != e0
| op(e0,e4) != e0
| op(e0,e4) = e0 ),
introduced(tautology,[equality,[$cnf( $equal(op(e0,e4),e0) ),[0,0],$fot(e0)]]) ).
cnf(refute_0_69,plain,
( e0 != e0
| op(e0,e4) = e0 ),
inference(resolve,[$cnf( $equal(op(e0,e4),e0) )],[refute_0_67,refute_0_68]) ).
cnf(refute_0_70,plain,
( e0 != e0
| ~ definitionFOFtoCNF_0
| ~ definitionFOFtoCNF_1 ),
inference(resolve,[$cnf( $equal(op(e0,e4),e0) )],[refute_0_69,refute_0_0]) ).
cnf(refute_0_71,plain,
e0 = e0,
introduced(tautology,[refl,[$fot(e0)]]) ).
cnf(refute_0_72,plain,
( ~ definitionFOFtoCNF_0
| ~ definitionFOFtoCNF_1 ),
inference(resolve,[$cnf( $equal(e0,e0) )],[refute_0_71,refute_0_70]) ).
cnf(refute_0_73,plain,
( op(e4,e3) != e4
| definitionFOFtoCNF_1 ),
inference(canonicalize,[],[normalize_0_19]) ).
cnf(refute_0_74,plain,
op(op(e2,e4),op(e4,e2)) = e4,
inference(canonicalize,[],[normalize_0_21]) ).
cnf(refute_0_75,plain,
op(e3,e0) != op(e3,e4),
inference(canonicalize,[],[normalize_0_22]) ).
cnf(refute_0_76,plain,
( op(e0,e4) = e4
| op(e1,e4) = e4
| op(e2,e4) = e4
| op(e3,e4) = e4
| op(e4,e4) = e4 ),
inference(canonicalize,[],[normalize_0_24]) ).
cnf(refute_0_77,plain,
( op(e4,e4) != e1
| op(e4,e4) != e4
| e1 = e4 ),
introduced(tautology,[equality,[$cnf( $equal(op(e4,e4),e4) ),[0],$fot(e1)]]) ).
cnf(refute_0_78,plain,
( op(e4,e4) != e4
| e1 = e4 ),
inference(resolve,[$cnf( $equal(op(e4,e4),e1) )],[refute_0_8,refute_0_77]) ).
cnf(refute_0_79,plain,
( e1 = e4
| op(e0,e4) = e4
| op(e1,e4) = e4
| op(e2,e4) = e4
| op(e3,e4) = e4 ),
inference(resolve,[$cnf( $equal(op(e4,e4),e4) )],[refute_0_76,refute_0_78]) ).
cnf(refute_0_80,plain,
e1 != e4,
inference(canonicalize,[],[normalize_0_26]) ).
cnf(refute_0_81,plain,
( op(e0,e4) = e4
| op(e1,e4) = e4
| op(e2,e4) = e4
| op(e3,e4) = e4 ),
inference(resolve,[$cnf( $equal(e1,e4) )],[refute_0_79,refute_0_80]) ).
cnf(refute_0_82,plain,
( op(e0,e4) != e0
| op(e0,e4) != e4
| e0 = e4 ),
introduced(tautology,[equality,[$cnf( $equal(op(e0,e4),e4) ),[0],$fot(e0)]]) ).
cnf(refute_0_83,plain,
( op(e0,e4) != e4
| e0 = e4 ),
inference(resolve,[$cnf( $equal(op(e0,e4),e0) )],[refute_0_67,refute_0_82]) ).
cnf(refute_0_84,plain,
( e0 = e4
| op(e1,e4) = e4
| op(e2,e4) = e4
| op(e3,e4) = e4 ),
inference(resolve,[$cnf( $equal(op(e0,e4),e4) )],[refute_0_81,refute_0_83]) ).
cnf(refute_0_85,plain,
e0 != e4,
inference(canonicalize,[],[normalize_0_27]) ).
cnf(refute_0_86,plain,
( op(e1,e4) = e4
| op(e2,e4) = e4
| op(e3,e4) = e4 ),
inference(resolve,[$cnf( $equal(e0,e4) )],[refute_0_84,refute_0_85]) ).
cnf(refute_0_87,plain,
op(e1,e1) != op(e1,e4),
inference(canonicalize,[],[normalize_0_28]) ).
cnf(refute_0_88,plain,
op(op(e4,e4),op(e4,e4)) = e4,
inference(canonicalize,[],[normalize_0_29]) ).
cnf(refute_0_89,plain,
op(e1,op(e4,e4)) = op(e1,op(e4,e4)),
introduced(tautology,[refl,[$fot(op(e1,op(e4,e4)))]]) ).
cnf(refute_0_90,plain,
( op(e1,op(e4,e4)) != op(e1,op(e4,e4))
| op(e4,e4) != e1
| op(e1,op(e4,e4)) = op(e1,e1) ),
introduced(tautology,[equality,[$cnf( $equal(op(e1,op(e4,e4)),op(e1,op(e4,e4))) ),[1,1],$fot(e1)]]) ).
cnf(refute_0_91,plain,
( op(e4,e4) != e1
| op(e1,op(e4,e4)) = op(e1,e1) ),
inference(resolve,[$cnf( $equal(op(e1,op(e4,e4)),op(e1,op(e4,e4))) )],[refute_0_89,refute_0_90]) ).
cnf(refute_0_92,plain,
op(e1,op(e4,e4)) = op(e1,e1),
inference(resolve,[$cnf( $equal(op(e4,e4),e1) )],[refute_0_8,refute_0_91]) ).
cnf(refute_0_93,plain,
op(op(e4,e4),op(e4,e4)) = op(op(e4,e4),op(e4,e4)),
introduced(tautology,[refl,[$fot(op(op(e4,e4),op(e4,e4)))]]) ).
cnf(refute_0_94,plain,
( op(e4,e4) != e1
| op(op(e4,e4),op(e4,e4)) != op(op(e4,e4),op(e4,e4))
| op(op(e4,e4),op(e4,e4)) = op(e1,op(e4,e4)) ),
introduced(tautology,[equality,[$cnf( $equal(op(op(e4,e4),op(e4,e4)),op(op(e4,e4),op(e4,e4))) ),[1,0],$fot(e1)]]) ).
cnf(refute_0_95,plain,
( op(e4,e4) != e1
| op(op(e4,e4),op(e4,e4)) = op(e1,op(e4,e4)) ),
inference(resolve,[$cnf( $equal(op(op(e4,e4),op(e4,e4)),op(op(e4,e4),op(e4,e4))) )],[refute_0_93,refute_0_94]) ).
cnf(refute_0_96,plain,
op(op(e4,e4),op(e4,e4)) = op(e1,op(e4,e4)),
inference(resolve,[$cnf( $equal(op(e4,e4),e1) )],[refute_0_8,refute_0_95]) ).
cnf(refute_0_97,plain,
( op(e1,op(e4,e4)) != op(e1,e1)
| op(op(e4,e4),op(e4,e4)) != op(e1,op(e4,e4))
| op(op(e4,e4),op(e4,e4)) = op(e1,e1) ),
inference(subst,[],[refute_0_27:[bind(X,$fot(op(op(e4,e4),op(e4,e4)))),bind(Y,$fot(op(e1,op(e4,e4)))),bind(Z,$fot(op(e1,e1)))]]) ).
cnf(refute_0_98,plain,
( op(e1,op(e4,e4)) != op(e1,e1)
| op(op(e4,e4),op(e4,e4)) = op(e1,e1) ),
inference(resolve,[$cnf( $equal(op(op(e4,e4),op(e4,e4)),op(e1,op(e4,e4))) )],[refute_0_96,refute_0_97]) ).
cnf(refute_0_99,plain,
op(op(e4,e4),op(e4,e4)) = op(e1,e1),
inference(resolve,[$cnf( $equal(op(e1,op(e4,e4)),op(e1,e1)) )],[refute_0_92,refute_0_98]) ).
cnf(refute_0_100,plain,
( op(op(e4,e4),op(e4,e4)) != e4
| op(op(e4,e4),op(e4,e4)) != op(e1,e1)
| op(e1,e1) = e4 ),
introduced(tautology,[equality,[$cnf( $equal(op(op(e4,e4),op(e4,e4)),e4) ),[0],$fot(op(e1,e1))]]) ).
cnf(refute_0_101,plain,
( op(op(e4,e4),op(e4,e4)) != e4
| op(e1,e1) = e4 ),
inference(resolve,[$cnf( $equal(op(op(e4,e4),op(e4,e4)),op(e1,e1)) )],[refute_0_99,refute_0_100]) ).
cnf(refute_0_102,plain,
op(e1,e1) = e4,
inference(resolve,[$cnf( $equal(op(op(e4,e4),op(e4,e4)),e4) )],[refute_0_88,refute_0_101]) ).
cnf(refute_0_103,plain,
( e4 != op(e1,e4)
| op(e1,e1) != e4
| op(e1,e1) = op(e1,e4) ),
introduced(tautology,[equality,[$cnf( $equal(op(e1,e1),e4) ),[1],$fot(op(e1,e4))]]) ).
cnf(refute_0_104,plain,
( e4 != op(e1,e4)
| op(e1,e1) = op(e1,e4) ),
inference(resolve,[$cnf( $equal(op(e1,e1),e4) )],[refute_0_102,refute_0_103]) ).
cnf(refute_0_105,plain,
e4 != op(e1,e4),
inference(resolve,[$cnf( $equal(op(e1,e1),op(e1,e4)) )],[refute_0_104,refute_0_87]) ).
cnf(refute_0_106,plain,
( op(e1,e4) != e4
| e4 = op(e1,e4) ),
inference(subst,[],[refute_0_6:[bind(X,$fot(op(e1,e4))),bind(Y,$fot(e4))]]) ).
cnf(refute_0_107,plain,
op(e1,e4) != e4,
inference(resolve,[$cnf( $equal(e4,op(e1,e4)) )],[refute_0_106,refute_0_105]) ).
cnf(refute_0_108,plain,
( op(e2,e4) = e4
| op(e3,e4) = e4 ),
inference(resolve,[$cnf( $equal(op(e1,e4),e4) )],[refute_0_86,refute_0_107]) ).
cnf(refute_0_109,plain,
( op(e3,e0) != e4
| op(e3,e4) != e4
| op(e3,e0) = op(e3,e4) ),
introduced(tautology,[equality,[$cnf( ~ $equal(op(e3,e0),op(e3,e4)) ),[1],$fot(e4)]]) ).
cnf(refute_0_110,plain,
( op(e3,e0) != e4
| op(e2,e4) = e4
| op(e3,e0) = op(e3,e4) ),
inference(resolve,[$cnf( $equal(op(e3,e4),e4) )],[refute_0_108,refute_0_109]) ).
cnf(refute_0_111,plain,
( op(e3,e0) != e4
| op(e2,e4) = e4 ),
inference(resolve,[$cnf( $equal(op(e3,e0),op(e3,e4)) )],[refute_0_110,refute_0_75]) ).
cnf(refute_0_112,plain,
op(op(e1,e4),op(e4,e1)) = e4,
inference(canonicalize,[],[normalize_0_30]) ).
cnf(refute_0_113,plain,
op(e4,op(e4,e4)) = op(e4,op(e4,e4)),
introduced(tautology,[refl,[$fot(op(e4,op(e4,e4)))]]) ).
cnf(refute_0_114,plain,
( op(e4,e4) != e1
| op(e4,op(e4,e4)) != op(e4,op(e4,e4))
| op(e4,op(e4,e4)) = op(e4,e1) ),
introduced(tautology,[equality,[$cnf( $equal(op(e4,op(e4,e4)),op(e4,op(e4,e4))) ),[1,1],$fot(e1)]]) ).
cnf(refute_0_115,plain,
( op(e4,e4) != e1
| op(e4,op(e4,e4)) = op(e4,e1) ),
inference(resolve,[$cnf( $equal(op(e4,op(e4,e4)),op(e4,op(e4,e4))) )],[refute_0_113,refute_0_114]) ).
cnf(refute_0_116,plain,
op(e4,op(e4,e4)) = op(e4,e1),
inference(resolve,[$cnf( $equal(op(e4,e4),e1) )],[refute_0_8,refute_0_115]) ).
cnf(refute_0_117,plain,
( e0 != op(e4,op(e4,e4))
| op(e4,op(e4,e4)) != op(e4,e1)
| e0 = op(e4,e1) ),
introduced(tautology,[equality,[$cnf( ~ $equal(e0,op(e4,e1)) ),[0],$fot(op(e4,op(e4,e4)))]]) ).
cnf(refute_0_118,plain,
( e0 != op(e4,op(e4,e4))
| e0 = op(e4,e1) ),
inference(resolve,[$cnf( $equal(op(e4,op(e4,e4)),op(e4,e1)) )],[refute_0_116,refute_0_117]) ).
cnf(refute_0_119,plain,
e0 = op(e4,e1),
inference(resolve,[$cnf( $equal(e0,op(e4,op(e4,e4))) )],[refute_0_19,refute_0_118]) ).
cnf(refute_0_120,plain,
( e0 != op(e4,e1)
| op(e4,e1) = e0 ),
inference(subst,[],[refute_0_6:[bind(X,$fot(e0)),bind(Y,$fot(op(e4,e1)))]]) ).
cnf(refute_0_121,plain,
op(e4,e1) = e0,
inference(resolve,[$cnf( $equal(e0,op(e4,e1)) )],[refute_0_119,refute_0_120]) ).
cnf(refute_0_122,plain,
op(op(e1,e4),op(e4,e1)) = op(op(e1,e4),op(e4,e1)),
introduced(tautology,[refl,[$fot(op(op(e1,e4),op(e4,e1)))]]) ).
cnf(refute_0_123,plain,
( op(e4,e1) != e0
| op(op(e1,e4),op(e4,e1)) != op(op(e1,e4),op(e4,e1))
| op(op(e1,e4),op(e4,e1)) = op(op(e1,e4),e0) ),
introduced(tautology,[equality,[$cnf( $equal(op(op(e1,e4),op(e4,e1)),op(op(e1,e4),op(e4,e1))) ),[1,1],$fot(e0)]]) ).
cnf(refute_0_124,plain,
( op(e4,e1) != e0
| op(op(e1,e4),op(e4,e1)) = op(op(e1,e4),e0) ),
inference(resolve,[$cnf( $equal(op(op(e1,e4),op(e4,e1)),op(op(e1,e4),op(e4,e1))) )],[refute_0_122,refute_0_123]) ).
cnf(refute_0_125,plain,
op(op(e1,e4),op(e4,e1)) = op(op(e1,e4),e0),
inference(resolve,[$cnf( $equal(op(e4,e1),e0) )],[refute_0_121,refute_0_124]) ).
cnf(refute_0_126,plain,
( op(op(e1,e4),op(e4,e1)) != e4
| op(op(e1,e4),op(e4,e1)) != op(op(e1,e4),e0)
| op(op(e1,e4),e0) = e4 ),
introduced(tautology,[equality,[$cnf( $equal(op(op(e1,e4),op(e4,e1)),e4) ),[0],$fot(op(op(e1,e4),e0))]]) ).
cnf(refute_0_127,plain,
( op(op(e1,e4),op(e4,e1)) != e4
| op(op(e1,e4),e0) = e4 ),
inference(resolve,[$cnf( $equal(op(op(e1,e4),op(e4,e1)),op(op(e1,e4),e0)) )],[refute_0_125,refute_0_126]) ).
cnf(refute_0_128,plain,
op(op(e1,e4),e0) = e4,
inference(resolve,[$cnf( $equal(op(op(e1,e4),op(e4,e1)),e4) )],[refute_0_112,refute_0_127]) ).
cnf(refute_0_129,plain,
op(e2,e3) != op(e2,e4),
inference(canonicalize,[],[normalize_0_31]) ).
cnf(refute_0_130,plain,
op(e3,e1) != op(e3,e4),
inference(canonicalize,[],[normalize_0_32]) ).
cnf(refute_0_131,plain,
( op(e3,e1) = e0
| op(e3,e1) = e1
| op(e3,e1) = e2
| op(e3,e1) = e3
| op(e3,e1) = e4 ),
inference(canonicalize,[],[normalize_0_33]) ).
cnf(refute_0_132,plain,
op(e0,e1) != op(e3,e1),
inference(canonicalize,[],[normalize_0_34]) ).
cnf(refute_0_133,plain,
( e2 != op(e3,e1)
| op(e0,e1) != e2
| op(e0,e1) = op(e3,e1) ),
introduced(tautology,[equality,[$cnf( $equal(op(e0,e1),e2) ),[1],$fot(op(e3,e1))]]) ).
cnf(refute_0_134,plain,
( e2 != op(e3,e1)
| op(e0,e1) = op(e3,e1) ),
inference(resolve,[$cnf( $equal(op(e0,e1),e2) )],[refute_0_35,refute_0_133]) ).
cnf(refute_0_135,plain,
e2 != op(e3,e1),
inference(resolve,[$cnf( $equal(op(e0,e1),op(e3,e1)) )],[refute_0_134,refute_0_132]) ).
cnf(refute_0_136,plain,
( op(e3,e1) != e2
| e2 = op(e3,e1) ),
inference(subst,[],[refute_0_6:[bind(X,$fot(op(e3,e1))),bind(Y,$fot(e2))]]) ).
cnf(refute_0_137,plain,
op(e3,e1) != e2,
inference(resolve,[$cnf( $equal(e2,op(e3,e1)) )],[refute_0_136,refute_0_135]) ).
cnf(refute_0_138,plain,
( op(e3,e1) = e0
| op(e3,e1) = e1
| op(e3,e1) = e3
| op(e3,e1) = e4 ),
inference(resolve,[$cnf( $equal(op(e3,e1),e2) )],[refute_0_131,refute_0_137]) ).
cnf(refute_0_139,plain,
op(e3,e1) != op(e3,e3),
inference(canonicalize,[],[normalize_0_35]) ).
cnf(refute_0_140,plain,
op(op(e0,e0),op(e0,e0)) = e0,
inference(canonicalize,[],[normalize_0_36]) ).
cnf(refute_0_141,plain,
op(e3,op(e0,e0)) = op(e3,op(e0,e0)),
introduced(tautology,[refl,[$fot(op(e3,op(e0,e0)))]]) ).
cnf(refute_0_142,plain,
( op(e0,e0) != e3
| op(e3,op(e0,e0)) != op(e3,op(e0,e0))
| op(e3,op(e0,e0)) = op(e3,e3) ),
introduced(tautology,[equality,[$cnf( $equal(op(e3,op(e0,e0)),op(e3,op(e0,e0))) ),[1,1],$fot(e3)]]) ).
cnf(refute_0_143,plain,
( op(e0,e0) != e3
| op(e3,op(e0,e0)) = op(e3,e3) ),
inference(resolve,[$cnf( $equal(op(e3,op(e0,e0)),op(e3,op(e0,e0))) )],[refute_0_141,refute_0_142]) ).
cnf(refute_0_144,plain,
op(e3,op(e0,e0)) = op(e3,e3),
inference(resolve,[$cnf( $equal(op(e0,e0),e3) )],[refute_0_59,refute_0_143]) ).
cnf(refute_0_145,plain,
op(op(e0,e0),op(e0,e0)) = op(op(e0,e0),op(e0,e0)),
introduced(tautology,[refl,[$fot(op(op(e0,e0),op(e0,e0)))]]) ).
cnf(refute_0_146,plain,
( op(e0,e0) != e3
| op(op(e0,e0),op(e0,e0)) != op(op(e0,e0),op(e0,e0))
| op(op(e0,e0),op(e0,e0)) = op(e3,op(e0,e0)) ),
introduced(tautology,[equality,[$cnf( $equal(op(op(e0,e0),op(e0,e0)),op(op(e0,e0),op(e0,e0))) ),[1,0],$fot(e3)]]) ).
cnf(refute_0_147,plain,
( op(e0,e0) != e3
| op(op(e0,e0),op(e0,e0)) = op(e3,op(e0,e0)) ),
inference(resolve,[$cnf( $equal(op(op(e0,e0),op(e0,e0)),op(op(e0,e0),op(e0,e0))) )],[refute_0_145,refute_0_146]) ).
cnf(refute_0_148,plain,
op(op(e0,e0),op(e0,e0)) = op(e3,op(e0,e0)),
inference(resolve,[$cnf( $equal(op(e0,e0),e3) )],[refute_0_59,refute_0_147]) ).
cnf(refute_0_149,plain,
( op(e3,op(e0,e0)) != op(e3,e3)
| op(op(e0,e0),op(e0,e0)) != op(e3,op(e0,e0))
| op(op(e0,e0),op(e0,e0)) = op(e3,e3) ),
inference(subst,[],[refute_0_27:[bind(X,$fot(op(op(e0,e0),op(e0,e0)))),bind(Y,$fot(op(e3,op(e0,e0)))),bind(Z,$fot(op(e3,e3)))]]) ).
cnf(refute_0_150,plain,
( op(e3,op(e0,e0)) != op(e3,e3)
| op(op(e0,e0),op(e0,e0)) = op(e3,e3) ),
inference(resolve,[$cnf( $equal(op(op(e0,e0),op(e0,e0)),op(e3,op(e0,e0))) )],[refute_0_148,refute_0_149]) ).
cnf(refute_0_151,plain,
op(op(e0,e0),op(e0,e0)) = op(e3,e3),
inference(resolve,[$cnf( $equal(op(e3,op(e0,e0)),op(e3,e3)) )],[refute_0_144,refute_0_150]) ).
cnf(refute_0_152,plain,
( op(op(e0,e0),op(e0,e0)) != e0
| op(op(e0,e0),op(e0,e0)) != op(e3,e3)
| op(e3,e3) = e0 ),
introduced(tautology,[equality,[$cnf( $equal(op(op(e0,e0),op(e0,e0)),e0) ),[0],$fot(op(e3,e3))]]) ).
cnf(refute_0_153,plain,
( op(op(e0,e0),op(e0,e0)) != e0
| op(e3,e3) = e0 ),
inference(resolve,[$cnf( $equal(op(op(e0,e0),op(e0,e0)),op(e3,e3)) )],[refute_0_151,refute_0_152]) ).
cnf(refute_0_154,plain,
op(e3,e3) = e0,
inference(resolve,[$cnf( $equal(op(op(e0,e0),op(e0,e0)),e0) )],[refute_0_140,refute_0_153]) ).
cnf(refute_0_155,plain,
( op(e3,e1) != e0
| op(e3,e3) != e0
| op(e3,e1) = op(e3,e3) ),
introduced(tautology,[equality,[$cnf( ~ $equal(op(e3,e1),op(e3,e3)) ),[1],$fot(e0)]]) ).
cnf(refute_0_156,plain,
( op(e3,e1) != e0
| op(e3,e1) = op(e3,e3) ),
inference(resolve,[$cnf( $equal(op(e3,e3),e0) )],[refute_0_154,refute_0_155]) ).
cnf(refute_0_157,plain,
op(e3,e1) != e0,
inference(resolve,[$cnf( $equal(op(e3,e1),op(e3,e3)) )],[refute_0_156,refute_0_139]) ).
cnf(refute_0_158,plain,
( op(e3,e1) = e1
| op(e3,e1) = e3
| op(e3,e1) = e4 ),
inference(resolve,[$cnf( $equal(op(e3,e1),e0) )],[refute_0_138,refute_0_157]) ).
cnf(refute_0_159,plain,
op(e1,e1) != op(e3,e1),
inference(canonicalize,[],[normalize_0_37]) ).
cnf(refute_0_160,plain,
( e4 != op(e3,e1)
| op(e1,e1) != e4
| op(e1,e1) = op(e3,e1) ),
introduced(tautology,[equality,[$cnf( $equal(op(e1,e1),e4) ),[1],$fot(op(e3,e1))]]) ).
cnf(refute_0_161,plain,
( e4 != op(e3,e1)
| op(e1,e1) = op(e3,e1) ),
inference(resolve,[$cnf( $equal(op(e1,e1),e4) )],[refute_0_102,refute_0_160]) ).
cnf(refute_0_162,plain,
e4 != op(e3,e1),
inference(resolve,[$cnf( $equal(op(e1,e1),op(e3,e1)) )],[refute_0_161,refute_0_159]) ).
cnf(refute_0_163,plain,
( op(e3,e1) != e4
| e4 = op(e3,e1) ),
inference(subst,[],[refute_0_6:[bind(X,$fot(op(e3,e1))),bind(Y,$fot(e4))]]) ).
cnf(refute_0_164,plain,
op(e3,e1) != e4,
inference(resolve,[$cnf( $equal(e4,op(e3,e1)) )],[refute_0_163,refute_0_162]) ).
cnf(refute_0_165,plain,
( op(e3,e1) = e1
| op(e3,e1) = e3 ),
inference(resolve,[$cnf( $equal(op(e3,e1),e4) )],[refute_0_158,refute_0_164]) ).
cnf(refute_0_166,plain,
( e3 != op(e3,e4)
| op(e3,e1) != e3
| op(e3,e1) = op(e3,e4) ),
introduced(tautology,[equality,[$cnf( $equal(op(e3,e1),e3) ),[1],$fot(op(e3,e4))]]) ).
cnf(refute_0_167,plain,
( e3 != op(e3,e4)
| op(e3,e1) = e1
| op(e3,e1) = op(e3,e4) ),
inference(resolve,[$cnf( $equal(op(e3,e1),e3) )],[refute_0_165,refute_0_166]) ).
cnf(refute_0_168,plain,
( e3 != op(e3,e4)
| op(e3,e1) = e1 ),
inference(resolve,[$cnf( $equal(op(e3,e1),op(e3,e4)) )],[refute_0_167,refute_0_130]) ).
cnf(refute_0_169,plain,
( op(e0,e4) = e3
| op(e1,e4) = e3
| op(e2,e4) = e3
| op(e3,e4) = e3
| op(e4,e4) = e3 ),
inference(canonicalize,[],[normalize_0_38]) ).
cnf(refute_0_170,plain,
( op(e4,e4) != e1
| op(e4,e4) != e3
| e1 = e3 ),
introduced(tautology,[equality,[$cnf( $equal(op(e4,e4),e3) ),[0],$fot(e1)]]) ).
cnf(refute_0_171,plain,
( op(e4,e4) != e3
| e1 = e3 ),
inference(resolve,[$cnf( $equal(op(e4,e4),e1) )],[refute_0_8,refute_0_170]) ).
cnf(refute_0_172,plain,
( e1 = e3
| op(e0,e4) = e3
| op(e1,e4) = e3
| op(e2,e4) = e3
| op(e3,e4) = e3 ),
inference(resolve,[$cnf( $equal(op(e4,e4),e3) )],[refute_0_169,refute_0_171]) ).
cnf(refute_0_173,plain,
e1 != e3,
inference(canonicalize,[],[normalize_0_39]) ).
cnf(refute_0_174,plain,
( op(e0,e4) = e3
| op(e1,e4) = e3
| op(e2,e4) = e3
| op(e3,e4) = e3 ),
inference(resolve,[$cnf( $equal(e1,e3) )],[refute_0_172,refute_0_173]) ).
cnf(refute_0_175,plain,
( op(e1,e4) = e3
| op(e2,e4) = e3
| op(e3,e4) = e3 ),
inference(resolve,[$cnf( $equal(op(e0,e4),e3) )],[refute_0_174,refute_0_64]) ).
cnf(refute_0_176,plain,
( e3 != e3
| op(e3,e4) != e3
| e3 = op(e3,e4) ),
introduced(tautology,[equality,[$cnf( ~ $equal(e3,op(e3,e4)) ),[1],$fot(e3)]]) ).
cnf(refute_0_177,plain,
( e3 != e3
| e3 = op(e3,e4)
| op(e1,e4) = e3
| op(e2,e4) = e3 ),
inference(resolve,[$cnf( $equal(op(e3,e4),e3) )],[refute_0_175,refute_0_176]) ).
cnf(refute_0_178,plain,
( e3 != e3
| op(e1,e4) = e3
| op(e2,e4) = e3
| op(e3,e1) = e1 ),
inference(resolve,[$cnf( $equal(e3,op(e3,e4)) )],[refute_0_177,refute_0_168]) ).
cnf(refute_0_179,plain,
e3 = e3,
introduced(tautology,[refl,[$fot(e3)]]) ).
cnf(refute_0_180,plain,
( op(e1,e4) = e3
| op(e2,e4) = e3
| op(e3,e1) = e1 ),
inference(resolve,[$cnf( $equal(e3,e3) )],[refute_0_179,refute_0_178]) ).
cnf(refute_0_181,plain,
op(e2,e1) != op(e3,e1),
inference(canonicalize,[],[normalize_0_40]) ).
cnf(refute_0_182,plain,
( op(e2,e1) != e1
| op(e3,e1) != e1
| op(e2,e1) = op(e3,e1) ),
introduced(tautology,[equality,[$cnf( ~ $equal(op(e2,e1),op(e3,e1)) ),[1],$fot(e1)]]) ).
cnf(refute_0_183,plain,
( op(e2,e1) != e1
| op(e2,e1) = op(e3,e1)
| op(e3,e1) = e3 ),
inference(resolve,[$cnf( $equal(op(e3,e1),e1) )],[refute_0_165,refute_0_182]) ).
cnf(refute_0_184,plain,
( op(e2,e1) != e1
| op(e3,e1) = e3 ),
inference(resolve,[$cnf( $equal(op(e2,e1),op(e3,e1)) )],[refute_0_183,refute_0_181]) ).
cnf(refute_0_185,plain,
op(op(e0,e1),op(e1,e0)) = e1,
inference(canonicalize,[],[normalize_0_41]) ).
cnf(refute_0_186,plain,
op(op(e0,e1),op(e1,e0)) = op(op(e0,e1),op(e1,e0)),
introduced(tautology,[refl,[$fot(op(op(e0,e1),op(e1,e0)))]]) ).
cnf(refute_0_187,plain,
( op(e0,e1) != e2
| op(op(e0,e1),op(e1,e0)) != op(op(e0,e1),op(e1,e0))
| op(op(e0,e1),op(e1,e0)) = op(e2,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(e2)]]) ).
cnf(refute_0_188,plain,
( op(e0,e1) != e2
| op(op(e0,e1),op(e1,e0)) = op(e2,op(e1,e0)) ),
inference(resolve,[$cnf( $equal(op(op(e0,e1),op(e1,e0)),op(op(e0,e1),op(e1,e0))) )],[refute_0_186,refute_0_187]) ).
cnf(refute_0_189,plain,
op(op(e0,e1),op(e1,e0)) = op(e2,op(e1,e0)),
inference(resolve,[$cnf( $equal(op(e0,e1),e2) )],[refute_0_35,refute_0_188]) ).
cnf(refute_0_190,plain,
( op(op(e0,e1),op(e1,e0)) != e1
| op(op(e0,e1),op(e1,e0)) != op(e2,op(e1,e0))
| op(e2,op(e1,e0)) = e1 ),
introduced(tautology,[equality,[$cnf( $equal(op(op(e0,e1),op(e1,e0)),e1) ),[0],$fot(op(e2,op(e1,e0)))]]) ).
cnf(refute_0_191,plain,
( op(op(e0,e1),op(e1,e0)) != e1
| op(e2,op(e1,e0)) = e1 ),
inference(resolve,[$cnf( $equal(op(op(e0,e1),op(e1,e0)),op(e2,op(e1,e0))) )],[refute_0_189,refute_0_190]) ).
cnf(refute_0_192,plain,
op(e2,op(e1,e0)) = e1,
inference(resolve,[$cnf( $equal(op(op(e0,e1),op(e1,e0)),e1) )],[refute_0_185,refute_0_191]) ).
cnf(refute_0_193,plain,
op(op(e1,e2),op(e2,e1)) = e2,
inference(canonicalize,[],[normalize_0_42]) ).
cnf(refute_0_194,plain,
op(op(e3,e1),op(e1,e3)) = e1,
inference(canonicalize,[],[normalize_0_43]) ).
cnf(refute_0_195,plain,
( op(e3,e1) != e3
| op(op(e3,e1),op(e1,e3)) != e1
| op(e3,op(e1,e3)) = e1 ),
introduced(tautology,[equality,[$cnf( $equal(op(op(e3,e1),op(e1,e3)),e1) ),[0,0],$fot(e3)]]) ).
cnf(refute_0_196,plain,
( op(op(e3,e1),op(e1,e3)) != e1
| op(e3,e1) = e1
| op(e3,op(e1,e3)) = e1 ),
inference(resolve,[$cnf( $equal(op(e3,e1),e3) )],[refute_0_165,refute_0_195]) ).
cnf(refute_0_197,plain,
( op(e3,e1) = e1
| op(e3,op(e1,e3)) = e1 ),
inference(resolve,[$cnf( $equal(op(op(e3,e1),op(e1,e3)),e1) )],[refute_0_194,refute_0_196]) ).
cnf(refute_0_198,plain,
( op(e1,e0) = e1
| op(e1,e1) = e1
| op(e1,e2) = e1
| op(e1,e3) = e1
| op(e1,e4) = e1 ),
inference(canonicalize,[],[normalize_0_44]) ).
cnf(refute_0_199,plain,
op(e1,e4) != op(e4,e4),
inference(canonicalize,[],[normalize_0_45]) ).
cnf(refute_0_200,plain,
( op(e1,e4) != e1
| op(e4,e4) != e1
| op(e1,e4) = op(e4,e4) ),
introduced(tautology,[equality,[$cnf( ~ $equal(op(e1,e4),op(e4,e4)) ),[1],$fot(e1)]]) ).
cnf(refute_0_201,plain,
( op(e1,e4) != e1
| op(e1,e4) = op(e4,e4) ),
inference(resolve,[$cnf( $equal(op(e4,e4),e1) )],[refute_0_8,refute_0_200]) ).
cnf(refute_0_202,plain,
op(e1,e4) != e1,
inference(resolve,[$cnf( $equal(op(e1,e4),op(e4,e4)) )],[refute_0_201,refute_0_199]) ).
cnf(refute_0_203,plain,
( op(e1,e0) = e1
| op(e1,e1) = e1
| op(e1,e2) = e1
| op(e1,e3) = e1 ),
inference(resolve,[$cnf( $equal(op(e1,e4),e1) )],[refute_0_198,refute_0_202]) ).
cnf(refute_0_204,plain,
( op(e1,e1) != e1
| op(e1,e1) != e4
| e4 = e1 ),
introduced(tautology,[equality,[$cnf( $equal(op(e1,e1),e1) ),[0],$fot(e4)]]) ).
cnf(refute_0_205,plain,
( op(e1,e1) != e1
| e4 = e1 ),
inference(resolve,[$cnf( $equal(op(e1,e1),e4) )],[refute_0_102,refute_0_204]) ).
cnf(refute_0_206,plain,
( e4 = e1
| op(e1,e0) = e1
| op(e1,e2) = e1
| op(e1,e3) = e1 ),
inference(resolve,[$cnf( $equal(op(e1,e1),e1) )],[refute_0_203,refute_0_205]) ).
cnf(refute_0_207,plain,
( e4 != e1
| e1 = e4 ),
inference(subst,[],[refute_0_6:[bind(X,$fot(e4)),bind(Y,$fot(e1))]]) ).
cnf(refute_0_208,plain,
e4 != e1,
inference(resolve,[$cnf( $equal(e1,e4) )],[refute_0_207,refute_0_80]) ).
cnf(refute_0_209,plain,
( op(e1,e0) = e1
| op(e1,e2) = e1
| op(e1,e3) = e1 ),
inference(resolve,[$cnf( $equal(e4,e1) )],[refute_0_206,refute_0_208]) ).
cnf(refute_0_210,plain,
( op(e1,e3) != e1
| op(e3,op(e1,e3)) != e1
| op(e3,e1) = e1 ),
introduced(tautology,[equality,[$cnf( $equal(op(e3,op(e1,e3)),e1) ),[0,1],$fot(e1)]]) ).
cnf(refute_0_211,plain,
( op(e3,op(e1,e3)) != e1
| op(e1,e0) = e1
| op(e1,e2) = e1
| op(e3,e1) = e1 ),
inference(resolve,[$cnf( $equal(op(e1,e3),e1) )],[refute_0_209,refute_0_210]) ).
cnf(refute_0_212,plain,
( op(e1,e0) = e1
| op(e1,e2) = e1
| op(e3,e1) = e1 ),
inference(resolve,[$cnf( $equal(op(e3,op(e1,e3)),e1) )],[refute_0_197,refute_0_211]) ).
cnf(refute_0_213,plain,
op(op(e1,e3),op(e3,e1)) = e3,
inference(canonicalize,[],[normalize_0_46]) ).
cnf(refute_0_214,plain,
( op(e3,e1) != e1
| op(op(e1,e3),op(e3,e1)) != e3
| op(op(e1,e3),e1) = e3 ),
introduced(tautology,[equality,[$cnf( $equal(op(op(e1,e3),op(e3,e1)),e3) ),[0,1],$fot(e1)]]) ).
cnf(refute_0_215,plain,
( op(op(e1,e3),op(e3,e1)) != e3
| op(e3,e1) = e3
| op(op(e1,e3),e1) = e3 ),
inference(resolve,[$cnf( $equal(op(e3,e1),e1) )],[refute_0_165,refute_0_214]) ).
cnf(refute_0_216,plain,
( op(e3,e1) = e3
| op(op(e1,e3),e1) = e3 ),
inference(resolve,[$cnf( $equal(op(op(e1,e3),op(e3,e1)),e3) )],[refute_0_213,refute_0_215]) ).
cnf(refute_0_217,plain,
( op(e1,e3) != e1
| op(op(e1,e3),e1) != e3
| op(e1,e1) = e3 ),
introduced(tautology,[equality,[$cnf( $equal(op(op(e1,e3),e1),e3) ),[0,0],$fot(e1)]]) ).
cnf(refute_0_218,plain,
( op(op(e1,e3),e1) != e3
| op(e1,e0) = e1
| op(e1,e1) = e3
| op(e1,e2) = e1 ),
inference(resolve,[$cnf( $equal(op(e1,e3),e1) )],[refute_0_209,refute_0_217]) ).
cnf(refute_0_219,plain,
( op(e1,e0) = e1
| op(e1,e1) = e3
| op(e1,e2) = e1
| op(e3,e1) = e3 ),
inference(resolve,[$cnf( $equal(op(op(e1,e3),e1),e3) )],[refute_0_216,refute_0_218]) ).
cnf(refute_0_220,plain,
( op(e1,e1) != e3
| op(e1,e1) != e4
| e4 = e3 ),
introduced(tautology,[equality,[$cnf( $equal(op(e1,e1),e3) ),[0],$fot(e4)]]) ).
cnf(refute_0_221,plain,
( op(e1,e1) != e3
| e4 = e3 ),
inference(resolve,[$cnf( $equal(op(e1,e1),e4) )],[refute_0_102,refute_0_220]) ).
cnf(refute_0_222,plain,
( e4 = e3
| op(e1,e0) = e1
| op(e1,e2) = e1
| op(e3,e1) = e3 ),
inference(resolve,[$cnf( $equal(op(e1,e1),e3) )],[refute_0_219,refute_0_221]) ).
cnf(refute_0_223,plain,
e3 != e4,
inference(canonicalize,[],[normalize_0_47]) ).
cnf(refute_0_224,plain,
( e4 != e3
| e3 = e4 ),
inference(subst,[],[refute_0_6:[bind(X,$fot(e4)),bind(Y,$fot(e3))]]) ).
cnf(refute_0_225,plain,
e4 != e3,
inference(resolve,[$cnf( $equal(e3,e4) )],[refute_0_224,refute_0_223]) ).
cnf(refute_0_226,plain,
( op(e1,e0) = e1
| op(e1,e2) = e1
| op(e3,e1) = e3 ),
inference(resolve,[$cnf( $equal(e4,e3) )],[refute_0_222,refute_0_225]) ).
cnf(refute_0_227,plain,
( op(e3,e1) != e1
| op(e3,e1) != e3
| e3 = e1 ),
introduced(tautology,[equality,[$cnf( $equal(op(e3,e1),e1) ),[0],$fot(e3)]]) ).
cnf(refute_0_228,plain,
( op(e3,e1) != e1
| e3 = e1
| op(e1,e0) = e1
| op(e1,e2) = e1 ),
inference(resolve,[$cnf( $equal(op(e3,e1),e3) )],[refute_0_226,refute_0_227]) ).
cnf(refute_0_229,plain,
( e3 = e1
| op(e1,e0) = e1
| op(e1,e2) = e1 ),
inference(resolve,[$cnf( $equal(op(e3,e1),e1) )],[refute_0_212,refute_0_228]) ).
cnf(refute_0_230,plain,
( e3 != e1
| e1 = e3 ),
inference(subst,[],[refute_0_6:[bind(X,$fot(e3)),bind(Y,$fot(e1))]]) ).
cnf(refute_0_231,plain,
e3 != e1,
inference(resolve,[$cnf( $equal(e1,e3) )],[refute_0_230,refute_0_173]) ).
cnf(refute_0_232,plain,
( op(e1,e0) = e1
| op(e1,e2) = e1 ),
inference(resolve,[$cnf( $equal(e3,e1) )],[refute_0_229,refute_0_231]) ).
cnf(refute_0_233,plain,
( op(e1,e2) != e1
| op(op(e1,e2),op(e2,e1)) != e2
| op(e1,op(e2,e1)) = e2 ),
introduced(tautology,[equality,[$cnf( $equal(op(op(e1,e2),op(e2,e1)),e2) ),[0,0],$fot(e1)]]) ).
cnf(refute_0_234,plain,
( op(op(e1,e2),op(e2,e1)) != e2
| op(e1,e0) = e1
| op(e1,op(e2,e1)) = e2 ),
inference(resolve,[$cnf( $equal(op(e1,e2),e1) )],[refute_0_232,refute_0_233]) ).
cnf(refute_0_235,plain,
( op(e1,e0) = e1
| op(e1,op(e2,e1)) = e2 ),
inference(resolve,[$cnf( $equal(op(op(e1,e2),op(e2,e1)),e2) )],[refute_0_193,refute_0_234]) ).
cnf(refute_0_236,plain,
op(e1,e2) != op(e2,e2),
inference(canonicalize,[],[normalize_0_48]) ).
cnf(refute_0_237,plain,
( e1 != op(e2,e2)
| op(e1,e2) != e1
| op(e1,e2) = op(e2,e2) ),
introduced(tautology,[equality,[$cnf( $equal(op(e1,e2),e1) ),[1],$fot(op(e2,e2))]]) ).
cnf(refute_0_238,plain,
( e1 != op(e2,e2)
| op(e1,e0) = e1
| op(e1,e2) = op(e2,e2) ),
inference(resolve,[$cnf( $equal(op(e1,e2),e1) )],[refute_0_232,refute_0_237]) ).
cnf(refute_0_239,plain,
( e1 != op(e2,e2)
| op(e1,e0) = e1 ),
inference(resolve,[$cnf( $equal(op(e1,e2),op(e2,e2)) )],[refute_0_238,refute_0_236]) ).
cnf(refute_0_240,plain,
( op(e2,e0) = e1
| op(e2,e1) = e1
| op(e2,e2) = e1
| op(e2,e3) = e1
| op(e2,e4) = e1 ),
inference(canonicalize,[],[normalize_0_49]) ).
cnf(refute_0_241,plain,
op(e2,e4) != op(e4,e4),
inference(canonicalize,[],[normalize_0_50]) ).
cnf(refute_0_242,plain,
( op(e2,e4) != e1
| op(e4,e4) != e1
| op(e2,e4) = op(e4,e4) ),
introduced(tautology,[equality,[$cnf( ~ $equal(op(e2,e4),op(e4,e4)) ),[1],$fot(e1)]]) ).
cnf(refute_0_243,plain,
( op(e2,e4) != e1
| op(e2,e4) = op(e4,e4) ),
inference(resolve,[$cnf( $equal(op(e4,e4),e1) )],[refute_0_8,refute_0_242]) ).
cnf(refute_0_244,plain,
op(e2,e4) != e1,
inference(resolve,[$cnf( $equal(op(e2,e4),op(e4,e4)) )],[refute_0_243,refute_0_241]) ).
cnf(refute_0_245,plain,
( op(e2,e0) = e1
| op(e2,e1) = e1
| op(e2,e2) = e1
| op(e2,e3) = e1 ),
inference(resolve,[$cnf( $equal(op(e2,e4),e1) )],[refute_0_240,refute_0_244]) ).
cnf(refute_0_246,plain,
op(op(e4,e0),op(e0,e4)) = e0,
inference(canonicalize,[],[normalize_0_51]) ).
cnf(refute_0_247,plain,
op(op(e4,e0),op(e0,e4)) = op(op(e4,e0),op(e0,e4)),
introduced(tautology,[refl,[$fot(op(op(e4,e0),op(e0,e4)))]]) ).
cnf(refute_0_248,plain,
( op(e0,e4) != e0
| op(op(e4,e0),op(e0,e4)) != op(op(e4,e0),op(e0,e4))
| op(op(e4,e0),op(e0,e4)) = op(op(e4,e0),e0) ),
introduced(tautology,[equality,[$cnf( $equal(op(op(e4,e0),op(e0,e4)),op(op(e4,e0),op(e0,e4))) ),[1,1],$fot(e0)]]) ).
cnf(refute_0_249,plain,
( op(e0,e4) != e0
| op(op(e4,e0),op(e0,e4)) = op(op(e4,e0),e0) ),
inference(resolve,[$cnf( $equal(op(op(e4,e0),op(e0,e4)),op(op(e4,e0),op(e0,e4))) )],[refute_0_247,refute_0_248]) ).
cnf(refute_0_250,plain,
op(op(e4,e0),op(e0,e4)) = op(op(e4,e0),e0),
inference(resolve,[$cnf( $equal(op(e0,e4),e0) )],[refute_0_67,refute_0_249]) ).
cnf(refute_0_251,plain,
( op(op(e4,e0),op(e0,e4)) != e0
| op(op(e4,e0),op(e0,e4)) != op(op(e4,e0),e0)
| op(op(e4,e0),e0) = e0 ),
introduced(tautology,[equality,[$cnf( $equal(op(op(e4,e0),op(e0,e4)),e0) ),[0],$fot(op(op(e4,e0),e0))]]) ).
cnf(refute_0_252,plain,
( op(op(e4,e0),op(e0,e4)) != e0
| op(op(e4,e0),e0) = e0 ),
inference(resolve,[$cnf( $equal(op(op(e4,e0),op(e0,e4)),op(op(e4,e0),e0)) )],[refute_0_250,refute_0_251]) ).
cnf(refute_0_253,plain,
op(op(e4,e0),e0) = e0,
inference(resolve,[$cnf( $equal(op(op(e4,e0),op(e0,e4)),e0) )],[refute_0_246,refute_0_252]) ).
cnf(refute_0_254,plain,
( op(e4,e0) = e0
| op(e4,e0) = e1
| op(e4,e0) = e2
| op(e4,e0) = e3
| op(e4,e0) = e4 ),
inference(canonicalize,[],[normalize_0_52]) ).
cnf(refute_0_255,plain,
op(e4,e0) != op(e4,e4),
inference(canonicalize,[],[normalize_0_53]) ).
cnf(refute_0_256,plain,
( op(e4,e0) != e1
| op(e4,e4) != e1
| op(e4,e0) = op(e4,e4) ),
introduced(tautology,[equality,[$cnf( ~ $equal(op(e4,e0),op(e4,e4)) ),[1],$fot(e1)]]) ).
cnf(refute_0_257,plain,
( op(e4,e0) != e1
| op(e4,e0) = op(e4,e4) ),
inference(resolve,[$cnf( $equal(op(e4,e4),e1) )],[refute_0_8,refute_0_256]) ).
cnf(refute_0_258,plain,
op(e4,e0) != e1,
inference(resolve,[$cnf( $equal(op(e4,e0),op(e4,e4)) )],[refute_0_257,refute_0_255]) ).
cnf(refute_0_259,plain,
( op(e4,e0) = e0
| op(e4,e0) = e2
| op(e4,e0) = e3
| op(e4,e0) = e4 ),
inference(resolve,[$cnf( $equal(op(e4,e0),e1) )],[refute_0_254,refute_0_258]) ).
cnf(refute_0_260,plain,
op(e0,e0) != op(e4,e0),
inference(canonicalize,[],[normalize_0_54]) ).
cnf(refute_0_261,plain,
( e3 != op(e4,e0)
| op(e0,e0) != e3
| op(e0,e0) = op(e4,e0) ),
introduced(tautology,[equality,[$cnf( $equal(op(e0,e0),e3) ),[1],$fot(op(e4,e0))]]) ).
cnf(refute_0_262,plain,
( e3 != op(e4,e0)
| op(e0,e0) = op(e4,e0) ),
inference(resolve,[$cnf( $equal(op(e0,e0),e3) )],[refute_0_59,refute_0_261]) ).
cnf(refute_0_263,plain,
e3 != op(e4,e0),
inference(resolve,[$cnf( $equal(op(e0,e0),op(e4,e0)) )],[refute_0_262,refute_0_260]) ).
cnf(refute_0_264,plain,
( op(e4,e0) != e3
| e3 = op(e4,e0) ),
inference(subst,[],[refute_0_6:[bind(X,$fot(op(e4,e0))),bind(Y,$fot(e3))]]) ).
cnf(refute_0_265,plain,
op(e4,e0) != e3,
inference(resolve,[$cnf( $equal(e3,op(e4,e0)) )],[refute_0_264,refute_0_263]) ).
cnf(refute_0_266,plain,
( op(e4,e0) = e0
| op(e4,e0) = e2
| op(e4,e0) = e4 ),
inference(resolve,[$cnf( $equal(op(e4,e0),e3) )],[refute_0_259,refute_0_265]) ).
cnf(refute_0_267,plain,
op(e4,e0) != op(e4,e1),
inference(canonicalize,[],[normalize_0_55]) ).
cnf(refute_0_268,plain,
( op(e4,e0) != e0
| op(e4,e1) != e0
| op(e4,e0) = op(e4,e1) ),
introduced(tautology,[equality,[$cnf( ~ $equal(op(e4,e0),op(e4,e1)) ),[1],$fot(e0)]]) ).
cnf(refute_0_269,plain,
( op(e4,e0) != e0
| op(e4,e0) = op(e4,e1) ),
inference(resolve,[$cnf( $equal(op(e4,e1),e0) )],[refute_0_121,refute_0_268]) ).
cnf(refute_0_270,plain,
op(e4,e0) != e0,
inference(resolve,[$cnf( $equal(op(e4,e0),op(e4,e1)) )],[refute_0_269,refute_0_267]) ).
cnf(refute_0_271,plain,
( op(e4,e0) = e2
| op(e4,e0) = e4 ),
inference(resolve,[$cnf( $equal(op(e4,e0),e0) )],[refute_0_266,refute_0_270]) ).
cnf(refute_0_272,plain,
( op(e4,e0) != e4
| op(op(e4,e0),e0) != e0
| op(e4,e0) = e0 ),
introduced(tautology,[equality,[$cnf( $equal(op(op(e4,e0),e0),e0) ),[0,0],$fot(e4)]]) ).
cnf(refute_0_273,plain,
( op(op(e4,e0),e0) != e0
| op(e4,e0) = e0
| op(e4,e0) = e2 ),
inference(resolve,[$cnf( $equal(op(e4,e0),e4) )],[refute_0_271,refute_0_272]) ).
cnf(refute_0_274,plain,
( op(e4,e0) = e0
| op(e4,e0) = e2 ),
inference(resolve,[$cnf( $equal(op(op(e4,e0),e0),e0) )],[refute_0_253,refute_0_273]) ).
cnf(refute_0_275,plain,
op(e4,e0) = e2,
inference(resolve,[$cnf( $equal(op(e4,e0),e0) )],[refute_0_274,refute_0_270]) ).
cnf(refute_0_276,plain,
op(op(e4,e0),e0) = op(op(e4,e0),e0),
introduced(tautology,[refl,[$fot(op(op(e4,e0),e0))]]) ).
cnf(refute_0_277,plain,
( op(e4,e0) != e2
| op(op(e4,e0),e0) != op(op(e4,e0),e0)
| op(op(e4,e0),e0) = op(e2,e0) ),
introduced(tautology,[equality,[$cnf( $equal(op(op(e4,e0),e0),op(op(e4,e0),e0)) ),[1,0],$fot(e2)]]) ).
cnf(refute_0_278,plain,
( op(e4,e0) != e2
| op(op(e4,e0),e0) = op(e2,e0) ),
inference(resolve,[$cnf( $equal(op(op(e4,e0),e0),op(op(e4,e0),e0)) )],[refute_0_276,refute_0_277]) ).
cnf(refute_0_279,plain,
op(op(e4,e0),e0) = op(e2,e0),
inference(resolve,[$cnf( $equal(op(e4,e0),e2) )],[refute_0_275,refute_0_278]) ).
cnf(refute_0_280,plain,
( op(op(e4,e0),e0) != e0
| op(op(e4,e0),e0) != op(e2,e0)
| op(e2,e0) = e0 ),
introduced(tautology,[equality,[$cnf( $equal(op(op(e4,e0),e0),e0) ),[0],$fot(op(e2,e0))]]) ).
cnf(refute_0_281,plain,
( op(op(e4,e0),e0) != e0
| op(e2,e0) = e0 ),
inference(resolve,[$cnf( $equal(op(op(e4,e0),e0),op(e2,e0)) )],[refute_0_279,refute_0_280]) ).
cnf(refute_0_282,plain,
op(e2,e0) = e0,
inference(resolve,[$cnf( $equal(op(op(e4,e0),e0),e0) )],[refute_0_253,refute_0_281]) ).
cnf(refute_0_283,plain,
( op(e2,e0) != e0
| op(e2,e0) != e1
| e0 = e1 ),
introduced(tautology,[equality,[$cnf( $equal(op(e2,e0),e1) ),[0],$fot(e0)]]) ).
cnf(refute_0_284,plain,
( op(e2,e0) != e1
| e0 = e1 ),
inference(resolve,[$cnf( $equal(op(e2,e0),e0) )],[refute_0_282,refute_0_283]) ).
cnf(refute_0_285,plain,
( e0 = e1
| op(e2,e1) = e1
| op(e2,e2) = e1
| op(e2,e3) = e1 ),
inference(resolve,[$cnf( $equal(op(e2,e0),e1) )],[refute_0_245,refute_0_284]) ).
cnf(refute_0_286,plain,
e0 != e1,
inference(canonicalize,[],[normalize_0_56]) ).
cnf(refute_0_287,plain,
( op(e2,e1) = e1
| op(e2,e2) = e1
| op(e2,e3) = e1 ),
inference(resolve,[$cnf( $equal(e0,e1) )],[refute_0_285,refute_0_286]) ).
cnf(refute_0_288,plain,
op(e0,e3) != op(e2,e3),
inference(canonicalize,[],[normalize_0_57]) ).
cnf(refute_0_289,plain,
( op(e0,e0) = e1
| op(e0,e1) = e1
| op(e0,e2) = e1
| op(e0,e3) = e1
| op(e0,e4) = e1 ),
inference(canonicalize,[],[normalize_0_58]) ).
cnf(refute_0_290,plain,
( op(e0,e0) != e1
| op(e0,e0) != e3
| e3 = e1 ),
introduced(tautology,[equality,[$cnf( $equal(op(e0,e0),e1) ),[0],$fot(e3)]]) ).
cnf(refute_0_291,plain,
( op(e0,e0) != e1
| e3 = e1 ),
inference(resolve,[$cnf( $equal(op(e0,e0),e3) )],[refute_0_59,refute_0_290]) ).
cnf(refute_0_292,plain,
( e3 = e1
| op(e0,e1) = e1
| op(e0,e2) = e1
| op(e0,e3) = e1
| op(e0,e4) = e1 ),
inference(resolve,[$cnf( $equal(op(e0,e0),e1) )],[refute_0_289,refute_0_291]) ).
cnf(refute_0_293,plain,
( op(e0,e1) != e1
| op(e0,e1) != e2
| e2 = e1 ),
introduced(tautology,[equality,[$cnf( $equal(op(e0,e1),e1) ),[0],$fot(e2)]]) ).
cnf(refute_0_294,plain,
( op(e0,e1) != e1
| e2 = e1 ),
inference(resolve,[$cnf( $equal(op(e0,e1),e2) )],[refute_0_35,refute_0_293]) ).
cnf(refute_0_295,plain,
( e2 = e1
| e3 = e1
| op(e0,e2) = e1
| op(e0,e3) = e1
| op(e0,e4) = e1 ),
inference(resolve,[$cnf( $equal(op(e0,e1),e1) )],[refute_0_292,refute_0_294]) ).
cnf(refute_0_296,plain,
e1 != e2,
inference(canonicalize,[],[normalize_0_59]) ).
cnf(refute_0_297,plain,
( e2 != e1
| e1 = e2 ),
inference(subst,[],[refute_0_6:[bind(X,$fot(e2)),bind(Y,$fot(e1))]]) ).
cnf(refute_0_298,plain,
e2 != e1,
inference(resolve,[$cnf( $equal(e1,e2) )],[refute_0_297,refute_0_296]) ).
cnf(refute_0_299,plain,
( e3 = e1
| op(e0,e2) = e1
| op(e0,e3) = e1
| op(e0,e4) = e1 ),
inference(resolve,[$cnf( $equal(e2,e1) )],[refute_0_295,refute_0_298]) ).
cnf(refute_0_300,plain,
( op(e0,e2) = e1
| op(e0,e3) = e1
| op(e0,e4) = e1 ),
inference(resolve,[$cnf( $equal(e3,e1) )],[refute_0_299,refute_0_231]) ).
cnf(refute_0_301,plain,
( op(e0,e2) = e1
| op(e0,e3) = e1 ),
inference(resolve,[$cnf( $equal(op(e0,e4),e1) )],[refute_0_300,refute_0_11]) ).
cnf(refute_0_302,plain,
( e1 != op(e2,e3)
| op(e0,e3) != e1
| op(e0,e3) = op(e2,e3) ),
introduced(tautology,[equality,[$cnf( $equal(op(e0,e3),e1) ),[1],$fot(op(e2,e3))]]) ).
cnf(refute_0_303,plain,
( e1 != op(e2,e3)
| op(e0,e2) = e1
| op(e0,e3) = op(e2,e3) ),
inference(resolve,[$cnf( $equal(op(e0,e3),e1) )],[refute_0_301,refute_0_302]) ).
cnf(refute_0_304,plain,
( e1 != op(e2,e3)
| op(e0,e2) = e1 ),
inference(resolve,[$cnf( $equal(op(e0,e3),op(e2,e3)) )],[refute_0_303,refute_0_288]) ).
cnf(refute_0_305,plain,
op(op(e0,e4),op(e4,e0)) = e4,
inference(canonicalize,[],[normalize_0_60]) ).
cnf(refute_0_306,plain,
op(op(e0,e4),op(e4,e0)) = op(op(e0,e4),op(e4,e0)),
introduced(tautology,[refl,[$fot(op(op(e0,e4),op(e4,e0)))]]) ).
cnf(refute_0_307,plain,
( op(e0,e4) != e0
| op(op(e0,e4),op(e4,e0)) != op(op(e0,e4),op(e4,e0))
| op(op(e0,e4),op(e4,e0)) = op(e0,op(e4,e0)) ),
introduced(tautology,[equality,[$cnf( $equal(op(op(e0,e4),op(e4,e0)),op(op(e0,e4),op(e4,e0))) ),[1,0],$fot(e0)]]) ).
cnf(refute_0_308,plain,
( op(e0,e4) != e0
| op(op(e0,e4),op(e4,e0)) = op(e0,op(e4,e0)) ),
inference(resolve,[$cnf( $equal(op(op(e0,e4),op(e4,e0)),op(op(e0,e4),op(e4,e0))) )],[refute_0_306,refute_0_307]) ).
cnf(refute_0_309,plain,
op(op(e0,e4),op(e4,e0)) = op(e0,op(e4,e0)),
inference(resolve,[$cnf( $equal(op(e0,e4),e0) )],[refute_0_67,refute_0_308]) ).
cnf(refute_0_310,plain,
( op(op(e0,e4),op(e4,e0)) != e4
| op(op(e0,e4),op(e4,e0)) != op(e0,op(e4,e0))
| op(e0,op(e4,e0)) = e4 ),
introduced(tautology,[equality,[$cnf( $equal(op(op(e0,e4),op(e4,e0)),e4) ),[0],$fot(op(e0,op(e4,e0)))]]) ).
cnf(refute_0_311,plain,
( op(op(e0,e4),op(e4,e0)) != e4
| op(e0,op(e4,e0)) = e4 ),
inference(resolve,[$cnf( $equal(op(op(e0,e4),op(e4,e0)),op(e0,op(e4,e0))) )],[refute_0_309,refute_0_310]) ).
cnf(refute_0_312,plain,
op(e0,op(e4,e0)) = e4,
inference(resolve,[$cnf( $equal(op(op(e0,e4),op(e4,e0)),e4) )],[refute_0_305,refute_0_311]) ).
cnf(refute_0_313,plain,
op(e0,op(e4,e0)) = op(e0,op(e4,e0)),
introduced(tautology,[refl,[$fot(op(e0,op(e4,e0)))]]) ).
cnf(refute_0_314,plain,
( op(e0,op(e4,e0)) != op(e0,op(e4,e0))
| op(e4,e0) != e2
| op(e0,op(e4,e0)) = op(e0,e2) ),
introduced(tautology,[equality,[$cnf( $equal(op(e0,op(e4,e0)),op(e0,op(e4,e0))) ),[1,1],$fot(e2)]]) ).
cnf(refute_0_315,plain,
( op(e4,e0) != e2
| op(e0,op(e4,e0)) = op(e0,e2) ),
inference(resolve,[$cnf( $equal(op(e0,op(e4,e0)),op(e0,op(e4,e0))) )],[refute_0_313,refute_0_314]) ).
cnf(refute_0_316,plain,
op(e0,op(e4,e0)) = op(e0,e2),
inference(resolve,[$cnf( $equal(op(e4,e0),e2) )],[refute_0_275,refute_0_315]) ).
cnf(refute_0_317,plain,
( op(e0,op(e4,e0)) != e4
| op(e0,op(e4,e0)) != op(e0,e2)
| op(e0,e2) = e4 ),
introduced(tautology,[equality,[$cnf( $equal(op(e0,op(e4,e0)),e4) ),[0],$fot(op(e0,e2))]]) ).
cnf(refute_0_318,plain,
( op(e0,op(e4,e0)) != e4
| op(e0,e2) = e4 ),
inference(resolve,[$cnf( $equal(op(e0,op(e4,e0)),op(e0,e2)) )],[refute_0_316,refute_0_317]) ).
cnf(refute_0_319,plain,
op(e0,e2) = e4,
inference(resolve,[$cnf( $equal(op(e0,op(e4,e0)),e4) )],[refute_0_312,refute_0_318]) ).
cnf(refute_0_320,plain,
( op(e0,e2) != e1
| op(e0,e2) != e4
| e4 = e1 ),
introduced(tautology,[equality,[$cnf( $equal(op(e0,e2),e1) ),[0],$fot(e4)]]) ).
cnf(refute_0_321,plain,
( op(e0,e2) != e1
| e4 = e1 ),
inference(resolve,[$cnf( $equal(op(e0,e2),e4) )],[refute_0_319,refute_0_320]) ).
cnf(refute_0_322,plain,
( e1 != op(e2,e3)
| e4 = e1 ),
inference(resolve,[$cnf( $equal(op(e0,e2),e1) )],[refute_0_304,refute_0_321]) ).
cnf(refute_0_323,plain,
e1 != op(e2,e3),
inference(resolve,[$cnf( $equal(e4,e1) )],[refute_0_322,refute_0_208]) ).
cnf(refute_0_324,plain,
( op(e2,e3) != e1
| e1 = op(e2,e3) ),
inference(subst,[],[refute_0_6:[bind(X,$fot(op(e2,e3))),bind(Y,$fot(e1))]]) ).
cnf(refute_0_325,plain,
op(e2,e3) != e1,
inference(resolve,[$cnf( $equal(e1,op(e2,e3)) )],[refute_0_324,refute_0_323]) ).
cnf(refute_0_326,plain,
( op(e2,e1) = e1
| op(e2,e2) = e1 ),
inference(resolve,[$cnf( $equal(op(e2,e3),e1) )],[refute_0_287,refute_0_325]) ).
cnf(refute_0_327,plain,
( e1 != e1
| op(e2,e2) != e1
| e1 = op(e2,e2) ),
introduced(tautology,[equality,[$cnf( ~ $equal(e1,op(e2,e2)) ),[1],$fot(e1)]]) ).
cnf(refute_0_328,plain,
( e1 != e1
| e1 = op(e2,e2)
| op(e2,e1) = e1 ),
inference(resolve,[$cnf( $equal(op(e2,e2),e1) )],[refute_0_326,refute_0_327]) ).
cnf(refute_0_329,plain,
( e1 != e1
| op(e1,e0) = e1
| op(e2,e1) = e1 ),
inference(resolve,[$cnf( $equal(e1,op(e2,e2)) )],[refute_0_328,refute_0_239]) ).
cnf(refute_0_330,plain,
e1 = e1,
introduced(tautology,[refl,[$fot(e1)]]) ).
cnf(refute_0_331,plain,
( op(e1,e0) = e1
| op(e2,e1) = e1 ),
inference(resolve,[$cnf( $equal(e1,e1) )],[refute_0_330,refute_0_329]) ).
cnf(refute_0_332,plain,
( op(e1,op(e2,e1)) != e2
| op(e2,e1) != e1
| op(e1,e1) = e2 ),
introduced(tautology,[equality,[$cnf( $equal(op(e1,op(e2,e1)),e2) ),[0,1],$fot(e1)]]) ).
cnf(refute_0_333,plain,
( op(e1,op(e2,e1)) != e2
| op(e1,e0) = e1
| op(e1,e1) = e2 ),
inference(resolve,[$cnf( $equal(op(e2,e1),e1) )],[refute_0_331,refute_0_332]) ).
cnf(refute_0_334,plain,
( op(e1,e0) = e1
| op(e1,e1) = e2 ),
inference(resolve,[$cnf( $equal(op(e1,op(e2,e1)),e2) )],[refute_0_235,refute_0_333]) ).
cnf(refute_0_335,plain,
( op(e1,e1) != e2
| op(e1,e1) != e4
| e4 = e2 ),
introduced(tautology,[equality,[$cnf( $equal(op(e1,e1),e2) ),[0],$fot(e4)]]) ).
cnf(refute_0_336,plain,
( op(e1,e1) != e2
| e4 = e2 ),
inference(resolve,[$cnf( $equal(op(e1,e1),e4) )],[refute_0_102,refute_0_335]) ).
cnf(refute_0_337,plain,
( e4 = e2
| op(e1,e0) = e1 ),
inference(resolve,[$cnf( $equal(op(e1,e1),e2) )],[refute_0_334,refute_0_336]) ).
cnf(refute_0_338,plain,
e2 != e4,
inference(canonicalize,[],[normalize_0_61]) ).
cnf(refute_0_339,plain,
( e4 != e2
| e2 = e4 ),
inference(subst,[],[refute_0_6:[bind(X,$fot(e4)),bind(Y,$fot(e2))]]) ).
cnf(refute_0_340,plain,
e4 != e2,
inference(resolve,[$cnf( $equal(e2,e4) )],[refute_0_339,refute_0_338]) ).
cnf(refute_0_341,plain,
op(e1,e0) = e1,
inference(resolve,[$cnf( $equal(e4,e2) )],[refute_0_337,refute_0_340]) ).
cnf(refute_0_342,plain,
op(e2,op(e1,e0)) = op(e2,op(e1,e0)),
introduced(tautology,[refl,[$fot(op(e2,op(e1,e0)))]]) ).
cnf(refute_0_343,plain,
( op(e1,e0) != e1
| op(e2,op(e1,e0)) != op(e2,op(e1,e0))
| op(e2,op(e1,e0)) = op(e2,e1) ),
introduced(tautology,[equality,[$cnf( $equal(op(e2,op(e1,e0)),op(e2,op(e1,e0))) ),[1,1],$fot(e1)]]) ).
cnf(refute_0_344,plain,
( op(e1,e0) != e1
| op(e2,op(e1,e0)) = op(e2,e1) ),
inference(resolve,[$cnf( $equal(op(e2,op(e1,e0)),op(e2,op(e1,e0))) )],[refute_0_342,refute_0_343]) ).
cnf(refute_0_345,plain,
op(e2,op(e1,e0)) = op(e2,e1),
inference(resolve,[$cnf( $equal(op(e1,e0),e1) )],[refute_0_341,refute_0_344]) ).
cnf(refute_0_346,plain,
( op(e2,op(e1,e0)) != e1
| op(e2,op(e1,e0)) != op(e2,e1)
| op(e2,e1) = e1 ),
introduced(tautology,[equality,[$cnf( $equal(op(e2,op(e1,e0)),e1) ),[0],$fot(op(e2,e1))]]) ).
cnf(refute_0_347,plain,
( op(e2,op(e1,e0)) != e1
| op(e2,e1) = e1 ),
inference(resolve,[$cnf( $equal(op(e2,op(e1,e0)),op(e2,e1)) )],[refute_0_345,refute_0_346]) ).
cnf(refute_0_348,plain,
op(e2,e1) = e1,
inference(resolve,[$cnf( $equal(op(e2,op(e1,e0)),e1) )],[refute_0_192,refute_0_347]) ).
cnf(refute_0_349,plain,
( e1 != e1
| op(e2,e1) != e1
| op(e2,e1) = e1 ),
introduced(tautology,[equality,[$cnf( $equal(op(e2,e1),e1) ),[0,1],$fot(e1)]]) ).
cnf(refute_0_350,plain,
( e1 != e1
| op(e2,e1) = e1 ),
inference(resolve,[$cnf( $equal(op(e2,e1),e1) )],[refute_0_348,refute_0_349]) ).
cnf(refute_0_351,plain,
( e1 != e1
| op(e3,e1) = e3 ),
inference(resolve,[$cnf( $equal(op(e2,e1),e1) )],[refute_0_350,refute_0_184]) ).
cnf(refute_0_352,plain,
op(e3,e1) = e3,
inference(resolve,[$cnf( $equal(e1,e1) )],[refute_0_330,refute_0_351]) ).
cnf(refute_0_353,plain,
( op(e3,e1) != e1
| e3 = e1 ),
inference(resolve,[$cnf( $equal(op(e3,e1),e3) )],[refute_0_352,refute_0_227]) ).
cnf(refute_0_354,plain,
( e3 = e1
| op(e1,e4) = e3
| op(e2,e4) = e3 ),
inference(resolve,[$cnf( $equal(op(e3,e1),e1) )],[refute_0_180,refute_0_353]) ).
cnf(refute_0_355,plain,
( op(e1,e4) = e3
| op(e2,e4) = e3 ),
inference(resolve,[$cnf( $equal(e3,e1) )],[refute_0_354,refute_0_231]) ).
cnf(refute_0_356,plain,
( op(e2,e3) != e3
| op(e2,e4) != e3
| op(e2,e3) = op(e2,e4) ),
introduced(tautology,[equality,[$cnf( ~ $equal(op(e2,e3),op(e2,e4)) ),[1],$fot(e3)]]) ).
cnf(refute_0_357,plain,
( op(e2,e3) != e3
| op(e1,e4) = e3
| op(e2,e3) = op(e2,e4) ),
inference(resolve,[$cnf( $equal(op(e2,e4),e3) )],[refute_0_355,refute_0_356]) ).
cnf(refute_0_358,plain,
( op(e2,e3) != e3
| op(e1,e4) = e3 ),
inference(resolve,[$cnf( $equal(op(e2,e3),op(e2,e4)) )],[refute_0_357,refute_0_129]) ).
cnf(refute_0_359,plain,
op(op(e1,e3),op(e3,e1)) = op(op(e1,e3),op(e3,e1)),
introduced(tautology,[refl,[$fot(op(op(e1,e3),op(e3,e1)))]]) ).
cnf(refute_0_360,plain,
( op(e3,e1) != e3
| op(op(e1,e3),op(e3,e1)) != op(op(e1,e3),op(e3,e1))
| op(op(e1,e3),op(e3,e1)) = op(op(e1,e3),e3) ),
introduced(tautology,[equality,[$cnf( $equal(op(op(e1,e3),op(e3,e1)),op(op(e1,e3),op(e3,e1))) ),[1,1],$fot(e3)]]) ).
cnf(refute_0_361,plain,
( op(e3,e1) != e3
| op(op(e1,e3),op(e3,e1)) = op(op(e1,e3),e3) ),
inference(resolve,[$cnf( $equal(op(op(e1,e3),op(e3,e1)),op(op(e1,e3),op(e3,e1))) )],[refute_0_359,refute_0_360]) ).
cnf(refute_0_362,plain,
op(op(e1,e3),op(e3,e1)) = op(op(e1,e3),e3),
inference(resolve,[$cnf( $equal(op(e3,e1),e3) )],[refute_0_352,refute_0_361]) ).
cnf(refute_0_363,plain,
( op(op(e1,e3),op(e3,e1)) != e3
| op(op(e1,e3),op(e3,e1)) != op(op(e1,e3),e3)
| op(op(e1,e3),e3) = e3 ),
introduced(tautology,[equality,[$cnf( $equal(op(op(e1,e3),op(e3,e1)),e3) ),[0],$fot(op(op(e1,e3),e3))]]) ).
cnf(refute_0_364,plain,
( op(op(e1,e3),op(e3,e1)) != e3
| op(op(e1,e3),e3) = e3 ),
inference(resolve,[$cnf( $equal(op(op(e1,e3),op(e3,e1)),op(op(e1,e3),e3)) )],[refute_0_362,refute_0_363]) ).
cnf(refute_0_365,plain,
op(op(e1,e3),e3) = e3,
inference(resolve,[$cnf( $equal(op(op(e1,e3),op(e3,e1)),e3) )],[refute_0_213,refute_0_364]) ).
cnf(refute_0_366,plain,
op(op(e3,e2),op(e2,e3)) = e2,
inference(canonicalize,[],[normalize_0_62]) ).
cnf(refute_0_367,plain,
op(e4,e0) != op(e4,e3),
inference(canonicalize,[],[normalize_0_63]) ).
cnf(refute_0_368,plain,
( e2 != op(e4,e3)
| op(e4,e0) != e2
| op(e4,e0) = op(e4,e3) ),
introduced(tautology,[equality,[$cnf( $equal(op(e4,e0),e2) ),[1],$fot(op(e4,e3))]]) ).
cnf(refute_0_369,plain,
( e2 != op(e4,e3)
| op(e4,e0) = op(e4,e3) ),
inference(resolve,[$cnf( $equal(op(e4,e0),e2) )],[refute_0_275,refute_0_368]) ).
cnf(refute_0_370,plain,
e2 != op(e4,e3),
inference(resolve,[$cnf( $equal(op(e4,e0),op(e4,e3)) )],[refute_0_369,refute_0_367]) ).
cnf(refute_0_371,plain,
( op(e0,e3) = e2
| op(e1,e3) = e2
| op(e2,e3) = e2
| op(e3,e3) = e2
| op(e4,e3) = e2 ),
inference(canonicalize,[],[normalize_0_64]) ).
cnf(refute_0_372,plain,
op(e0,e1) != op(e0,e3),
inference(canonicalize,[],[normalize_0_65]) ).
cnf(refute_0_373,plain,
( e2 != op(e0,e3)
| op(e0,e1) != e2
| op(e0,e1) = op(e0,e3) ),
introduced(tautology,[equality,[$cnf( $equal(op(e0,e1),e2) ),[1],$fot(op(e0,e3))]]) ).
cnf(refute_0_374,plain,
( e2 != op(e0,e3)
| op(e0,e1) = op(e0,e3) ),
inference(resolve,[$cnf( $equal(op(e0,e1),e2) )],[refute_0_35,refute_0_373]) ).
cnf(refute_0_375,plain,
e2 != op(e0,e3),
inference(resolve,[$cnf( $equal(op(e0,e1),op(e0,e3)) )],[refute_0_374,refute_0_372]) ).
cnf(refute_0_376,plain,
( op(e0,e3) != e2
| e2 = op(e0,e3) ),
inference(subst,[],[refute_0_6:[bind(X,$fot(op(e0,e3))),bind(Y,$fot(e2))]]) ).
cnf(refute_0_377,plain,
op(e0,e3) != e2,
inference(resolve,[$cnf( $equal(e2,op(e0,e3)) )],[refute_0_376,refute_0_375]) ).
cnf(refute_0_378,plain,
( op(e1,e3) = e2
| op(e2,e3) = e2
| op(e3,e3) = e2
| op(e4,e3) = e2 ),
inference(resolve,[$cnf( $equal(op(e0,e3),e2) )],[refute_0_371,refute_0_377]) ).
cnf(refute_0_379,plain,
( op(e3,e3) != e0
| op(e3,e3) != e2
| e0 = e2 ),
introduced(tautology,[equality,[$cnf( $equal(op(e3,e3),e2) ),[0],$fot(e0)]]) ).
cnf(refute_0_380,plain,
( op(e3,e3) != e2
| e0 = e2 ),
inference(resolve,[$cnf( $equal(op(e3,e3),e0) )],[refute_0_154,refute_0_379]) ).
cnf(refute_0_381,plain,
( e0 = e2
| op(e1,e3) = e2
| op(e2,e3) = e2
| op(e4,e3) = e2 ),
inference(resolve,[$cnf( $equal(op(e3,e3),e2) )],[refute_0_378,refute_0_380]) ).
cnf(refute_0_382,plain,
e0 != e2,
inference(canonicalize,[],[normalize_0_66]) ).
cnf(refute_0_383,plain,
( op(e1,e3) = e2
| op(e2,e3) = e2
| op(e4,e3) = e2 ),
inference(resolve,[$cnf( $equal(e0,e2) )],[refute_0_381,refute_0_382]) ).
cnf(refute_0_384,plain,
( e2 != e2
| op(e4,e3) != e2
| e2 = op(e4,e3) ),
introduced(tautology,[equality,[$cnf( ~ $equal(e2,op(e4,e3)) ),[1],$fot(e2)]]) ).
cnf(refute_0_385,plain,
( e2 != e2
| e2 = op(e4,e3)
| op(e1,e3) = e2
| op(e2,e3) = e2 ),
inference(resolve,[$cnf( $equal(op(e4,e3),e2) )],[refute_0_383,refute_0_384]) ).
cnf(refute_0_386,plain,
( e2 != e2
| op(e1,e3) = e2
| op(e2,e3) = e2 ),
inference(resolve,[$cnf( $equal(e2,op(e4,e3)) )],[refute_0_385,refute_0_370]) ).
cnf(refute_0_387,plain,
e2 = e2,
introduced(tautology,[refl,[$fot(e2)]]) ).
cnf(refute_0_388,plain,
( op(e1,e3) = e2
| op(e2,e3) = e2 ),
inference(resolve,[$cnf( $equal(e2,e2) )],[refute_0_387,refute_0_386]) ).
cnf(refute_0_389,plain,
( op(e2,e3) != e2
| op(op(e3,e2),op(e2,e3)) != e2
| op(op(e3,e2),e2) = e2 ),
introduced(tautology,[equality,[$cnf( $equal(op(op(e3,e2),op(e2,e3)),e2) ),[0,1],$fot(e2)]]) ).
cnf(refute_0_390,plain,
( op(op(e3,e2),op(e2,e3)) != e2
| op(e1,e3) = e2
| op(op(e3,e2),e2) = e2 ),
inference(resolve,[$cnf( $equal(op(e2,e3),e2) )],[refute_0_388,refute_0_389]) ).
cnf(refute_0_391,plain,
( op(e1,e3) = e2
| op(op(e3,e2),e2) = e2 ),
inference(resolve,[$cnf( $equal(op(op(e3,e2),op(e2,e3)),e2) )],[refute_0_366,refute_0_390]) ).
cnf(refute_0_392,plain,
op(op(e1,e0),op(e0,e1)) = e0,
inference(canonicalize,[],[normalize_0_67]) ).
cnf(refute_0_393,plain,
op(op(e1,e0),op(e0,e1)) = op(op(e1,e0),op(e0,e1)),
introduced(tautology,[refl,[$fot(op(op(e1,e0),op(e0,e1)))]]) ).
cnf(refute_0_394,plain,
( op(e0,e1) != e2
| op(op(e1,e0),op(e0,e1)) != op(op(e1,e0),op(e0,e1))
| op(op(e1,e0),op(e0,e1)) = op(op(e1,e0),e2) ),
introduced(tautology,[equality,[$cnf( $equal(op(op(e1,e0),op(e0,e1)),op(op(e1,e0),op(e0,e1))) ),[1,1],$fot(e2)]]) ).
cnf(refute_0_395,plain,
( op(e0,e1) != e2
| op(op(e1,e0),op(e0,e1)) = op(op(e1,e0),e2) ),
inference(resolve,[$cnf( $equal(op(op(e1,e0),op(e0,e1)),op(op(e1,e0),op(e0,e1))) )],[refute_0_393,refute_0_394]) ).
cnf(refute_0_396,plain,
op(op(e1,e0),op(e0,e1)) = op(op(e1,e0),e2),
inference(resolve,[$cnf( $equal(op(e0,e1),e2) )],[refute_0_35,refute_0_395]) ).
cnf(refute_0_397,plain,
( op(op(e1,e0),op(e0,e1)) != e0
| op(op(e1,e0),op(e0,e1)) != op(op(e1,e0),e2)
| op(op(e1,e0),e2) = e0 ),
introduced(tautology,[equality,[$cnf( $equal(op(op(e1,e0),op(e0,e1)),e0) ),[0],$fot(op(op(e1,e0),e2))]]) ).
cnf(refute_0_398,plain,
( op(op(e1,e0),op(e0,e1)) != e0
| op(op(e1,e0),e2) = e0 ),
inference(resolve,[$cnf( $equal(op(op(e1,e0),op(e0,e1)),op(op(e1,e0),e2)) )],[refute_0_396,refute_0_397]) ).
cnf(refute_0_399,plain,
op(op(e1,e0),e2) = e0,
inference(resolve,[$cnf( $equal(op(op(e1,e0),op(e0,e1)),e0) )],[refute_0_392,refute_0_398]) ).
cnf(refute_0_400,plain,
op(op(e1,e0),e2) = op(op(e1,e0),e2),
introduced(tautology,[refl,[$fot(op(op(e1,e0),e2))]]) ).
cnf(refute_0_401,plain,
( op(e1,e0) != e1
| op(op(e1,e0),e2) != op(op(e1,e0),e2)
| op(op(e1,e0),e2) = op(e1,e2) ),
introduced(tautology,[equality,[$cnf( $equal(op(op(e1,e0),e2),op(op(e1,e0),e2)) ),[1,0],$fot(e1)]]) ).
cnf(refute_0_402,plain,
( op(e1,e0) != e1
| op(op(e1,e0),e2) = op(e1,e2) ),
inference(resolve,[$cnf( $equal(op(op(e1,e0),e2),op(op(e1,e0),e2)) )],[refute_0_400,refute_0_401]) ).
cnf(refute_0_403,plain,
op(op(e1,e0),e2) = op(e1,e2),
inference(resolve,[$cnf( $equal(op(e1,e0),e1) )],[refute_0_341,refute_0_402]) ).
cnf(refute_0_404,plain,
( op(op(e1,e0),e2) != e0
| op(op(e1,e0),e2) != op(e1,e2)
| op(e1,e2) = e0 ),
introduced(tautology,[equality,[$cnf( $equal(op(op(e1,e0),e2),e0) ),[0],$fot(op(e1,e2))]]) ).
cnf(refute_0_405,plain,
( op(op(e1,e0),e2) != e0
| op(e1,e2) = e0 ),
inference(resolve,[$cnf( $equal(op(op(e1,e0),e2),op(e1,e2)) )],[refute_0_403,refute_0_404]) ).
cnf(refute_0_406,plain,
op(e1,e2) = e0,
inference(resolve,[$cnf( $equal(op(op(e1,e0),e2),e0) )],[refute_0_399,refute_0_405]) ).
cnf(refute_0_407,plain,
( op(e0,e2) = e1
| op(e1,e2) = e1
| op(e2,e2) = e1
| op(e3,e2) = e1
| op(e4,e2) = e1 ),
inference(canonicalize,[],[normalize_0_68]) ).
cnf(refute_0_408,plain,
op(e4,e2) != op(e4,e4),
inference(canonicalize,[],[normalize_0_69]) ).
cnf(refute_0_409,plain,
( op(e4,e2) != e1
| op(e4,e4) != e1
| op(e4,e2) = op(e4,e4) ),
introduced(tautology,[equality,[$cnf( ~ $equal(op(e4,e2),op(e4,e4)) ),[1],$fot(e1)]]) ).
cnf(refute_0_410,plain,
( op(e4,e2) != e1
| op(e4,e2) = op(e4,e4) ),
inference(resolve,[$cnf( $equal(op(e4,e4),e1) )],[refute_0_8,refute_0_409]) ).
cnf(refute_0_411,plain,
op(e4,e2) != e1,
inference(resolve,[$cnf( $equal(op(e4,e2),op(e4,e4)) )],[refute_0_410,refute_0_408]) ).
cnf(refute_0_412,plain,
( op(e0,e2) = e1
| op(e1,e2) = e1
| op(e2,e2) = e1
| op(e3,e2) = e1 ),
inference(resolve,[$cnf( $equal(op(e4,e2),e1) )],[refute_0_407,refute_0_411]) ).
cnf(refute_0_413,plain,
( e4 = e1
| op(e1,e2) = e1
| op(e2,e2) = e1
| op(e3,e2) = e1 ),
inference(resolve,[$cnf( $equal(op(e0,e2),e1) )],[refute_0_412,refute_0_321]) ).
cnf(refute_0_414,plain,
( op(e1,e2) = e1
| op(e2,e2) = e1
| op(e3,e2) = e1 ),
inference(resolve,[$cnf( $equal(e4,e1) )],[refute_0_413,refute_0_208]) ).
cnf(refute_0_415,plain,
( op(e1,e2) != e0
| op(e1,e2) != e1
| e0 = e1 ),
introduced(tautology,[equality,[$cnf( $equal(op(e1,e2),e1) ),[0],$fot(e0)]]) ).
cnf(refute_0_416,plain,
( op(e1,e2) != e1
| e0 = e1 ),
inference(resolve,[$cnf( $equal(op(e1,e2),e0) )],[refute_0_406,refute_0_415]) ).
cnf(refute_0_417,plain,
( e0 = e1
| op(e2,e2) = e1
| op(e3,e2) = e1 ),
inference(resolve,[$cnf( $equal(op(e1,e2),e1) )],[refute_0_414,refute_0_416]) ).
cnf(refute_0_418,plain,
( op(e2,e2) = e1
| op(e3,e2) = e1 ),
inference(resolve,[$cnf( $equal(e0,e1) )],[refute_0_417,refute_0_286]) ).
cnf(refute_0_419,plain,
op(e2,e1) != op(e2,e2),
inference(canonicalize,[],[normalize_0_70]) ).
cnf(refute_0_420,plain,
( e1 != op(e2,e2)
| op(e2,e1) != e1
| op(e2,e1) = op(e2,e2) ),
introduced(tautology,[equality,[$cnf( $equal(op(e2,e1),e1) ),[1],$fot(op(e2,e2))]]) ).
cnf(refute_0_421,plain,
( e1 != op(e2,e2)
| op(e2,e1) = op(e2,e2) ),
inference(resolve,[$cnf( $equal(op(e2,e1),e1) )],[refute_0_348,refute_0_420]) ).
cnf(refute_0_422,plain,
e1 != op(e2,e2),
inference(resolve,[$cnf( $equal(op(e2,e1),op(e2,e2)) )],[refute_0_421,refute_0_419]) ).
cnf(refute_0_423,plain,
( op(e2,e2) != e1
| e1 = op(e2,e2) ),
inference(subst,[],[refute_0_6:[bind(X,$fot(op(e2,e2))),bind(Y,$fot(e1))]]) ).
cnf(refute_0_424,plain,
op(e2,e2) != e1,
inference(resolve,[$cnf( $equal(e1,op(e2,e2)) )],[refute_0_423,refute_0_422]) ).
cnf(refute_0_425,plain,
op(e3,e2) = e1,
inference(resolve,[$cnf( $equal(op(e2,e2),e1) )],[refute_0_418,refute_0_424]) ).
cnf(refute_0_426,plain,
op(op(e3,e2),e2) = op(op(e3,e2),e2),
introduced(tautology,[refl,[$fot(op(op(e3,e2),e2))]]) ).
cnf(refute_0_427,plain,
( op(e3,e2) != e1
| op(op(e3,e2),e2) != op(op(e3,e2),e2)
| op(op(e3,e2),e2) = op(e1,e2) ),
introduced(tautology,[equality,[$cnf( $equal(op(op(e3,e2),e2),op(op(e3,e2),e2)) ),[1,0],$fot(e1)]]) ).
cnf(refute_0_428,plain,
( op(e3,e2) != e1
| op(op(e3,e2),e2) = op(e1,e2) ),
inference(resolve,[$cnf( $equal(op(op(e3,e2),e2),op(op(e3,e2),e2)) )],[refute_0_426,refute_0_427]) ).
cnf(refute_0_429,plain,
op(op(e3,e2),e2) = op(e1,e2),
inference(resolve,[$cnf( $equal(op(e3,e2),e1) )],[refute_0_425,refute_0_428]) ).
cnf(refute_0_430,plain,
( op(e1,e2) != e0
| op(op(e3,e2),e2) != op(e1,e2)
| op(op(e3,e2),e2) = e0 ),
inference(subst,[],[refute_0_27:[bind(X,$fot(op(op(e3,e2),e2))),bind(Y,$fot(op(e1,e2))),bind(Z,$fot(e0))]]) ).
cnf(refute_0_431,plain,
( op(e1,e2) != e0
| op(op(e3,e2),e2) = e0 ),
inference(resolve,[$cnf( $equal(op(op(e3,e2),e2),op(e1,e2)) )],[refute_0_429,refute_0_430]) ).
cnf(refute_0_432,plain,
op(op(e3,e2),e2) = e0,
inference(resolve,[$cnf( $equal(op(e1,e2),e0) )],[refute_0_406,refute_0_431]) ).
cnf(refute_0_433,plain,
( op(op(e3,e2),e2) != e0
| op(op(e3,e2),e2) != e2
| e0 = e2 ),
introduced(tautology,[equality,[$cnf( $equal(op(op(e3,e2),e2),e2) ),[0],$fot(e0)]]) ).
cnf(refute_0_434,plain,
( op(op(e3,e2),e2) != e2
| e0 = e2 ),
inference(resolve,[$cnf( $equal(op(op(e3,e2),e2),e0) )],[refute_0_432,refute_0_433]) ).
cnf(refute_0_435,plain,
( e0 = e2
| op(e1,e3) = e2 ),
inference(resolve,[$cnf( $equal(op(op(e3,e2),e2),e2) )],[refute_0_391,refute_0_434]) ).
cnf(refute_0_436,plain,
op(e1,e3) = e2,
inference(resolve,[$cnf( $equal(e0,e2) )],[refute_0_435,refute_0_382]) ).
cnf(refute_0_437,plain,
op(op(e1,e3),e3) = op(op(e1,e3),e3),
introduced(tautology,[refl,[$fot(op(op(e1,e3),e3))]]) ).
cnf(refute_0_438,plain,
( op(e1,e3) != e2
| op(op(e1,e3),e3) != op(op(e1,e3),e3)
| op(op(e1,e3),e3) = op(e2,e3) ),
introduced(tautology,[equality,[$cnf( $equal(op(op(e1,e3),e3),op(op(e1,e3),e3)) ),[1,0],$fot(e2)]]) ).
cnf(refute_0_439,plain,
( op(e1,e3) != e2
| op(op(e1,e3),e3) = op(e2,e3) ),
inference(resolve,[$cnf( $equal(op(op(e1,e3),e3),op(op(e1,e3),e3)) )],[refute_0_437,refute_0_438]) ).
cnf(refute_0_440,plain,
op(op(e1,e3),e3) = op(e2,e3),
inference(resolve,[$cnf( $equal(op(e1,e3),e2) )],[refute_0_436,refute_0_439]) ).
cnf(refute_0_441,plain,
( op(op(e1,e3),e3) != e3
| op(op(e1,e3),e3) != op(e2,e3)
| op(e2,e3) = e3 ),
introduced(tautology,[equality,[$cnf( $equal(op(op(e1,e3),e3),e3) ),[0],$fot(op(e2,e3))]]) ).
cnf(refute_0_442,plain,
( op(op(e1,e3),e3) != e3
| op(e2,e3) = e3 ),
inference(resolve,[$cnf( $equal(op(op(e1,e3),e3),op(e2,e3)) )],[refute_0_440,refute_0_441]) ).
cnf(refute_0_443,plain,
op(e2,e3) = e3,
inference(resolve,[$cnf( $equal(op(op(e1,e3),e3),e3) )],[refute_0_365,refute_0_442]) ).
cnf(refute_0_444,plain,
( e3 != e3
| op(e2,e3) != e3
| op(e2,e3) = e3 ),
introduced(tautology,[equality,[$cnf( $equal(op(e2,e3),e3) ),[0,1],$fot(e3)]]) ).
cnf(refute_0_445,plain,
( e3 != e3
| op(e2,e3) = e3 ),
inference(resolve,[$cnf( $equal(op(e2,e3),e3) )],[refute_0_443,refute_0_444]) ).
cnf(refute_0_446,plain,
( e3 != e3
| op(e1,e4) = e3 ),
inference(resolve,[$cnf( $equal(op(e2,e3),e3) )],[refute_0_445,refute_0_358]) ).
cnf(refute_0_447,plain,
op(e1,e4) = e3,
inference(resolve,[$cnf( $equal(e3,e3) )],[refute_0_179,refute_0_446]) ).
cnf(refute_0_448,plain,
op(op(e1,e4),e0) = op(op(e1,e4),e0),
introduced(tautology,[refl,[$fot(op(op(e1,e4),e0))]]) ).
cnf(refute_0_449,plain,
( op(e1,e4) != e3
| op(op(e1,e4),e0) != op(op(e1,e4),e0)
| op(op(e1,e4),e0) = op(e3,e0) ),
introduced(tautology,[equality,[$cnf( $equal(op(op(e1,e4),e0),op(op(e1,e4),e0)) ),[1,0],$fot(e3)]]) ).
cnf(refute_0_450,plain,
( op(e1,e4) != e3
| op(op(e1,e4),e0) = op(e3,e0) ),
inference(resolve,[$cnf( $equal(op(op(e1,e4),e0),op(op(e1,e4),e0)) )],[refute_0_448,refute_0_449]) ).
cnf(refute_0_451,plain,
op(op(e1,e4),e0) = op(e3,e0),
inference(resolve,[$cnf( $equal(op(e1,e4),e3) )],[refute_0_447,refute_0_450]) ).
cnf(refute_0_452,plain,
( op(op(e1,e4),e0) != e4
| op(op(e1,e4),e0) != op(e3,e0)
| op(e3,e0) = e4 ),
introduced(tautology,[equality,[$cnf( $equal(op(op(e1,e4),e0),e4) ),[0],$fot(op(e3,e0))]]) ).
cnf(refute_0_453,plain,
( op(op(e1,e4),e0) != e4
| op(e3,e0) = e4 ),
inference(resolve,[$cnf( $equal(op(op(e1,e4),e0),op(e3,e0)) )],[refute_0_451,refute_0_452]) ).
cnf(refute_0_454,plain,
op(e3,e0) = e4,
inference(resolve,[$cnf( $equal(op(op(e1,e4),e0),e4) )],[refute_0_128,refute_0_453]) ).
cnf(refute_0_455,plain,
( e4 != e4
| op(e3,e0) != e4
| op(e3,e0) = e4 ),
introduced(tautology,[equality,[$cnf( $equal(op(e3,e0),e4) ),[1],$fot(e4)]]) ).
cnf(refute_0_456,plain,
( e4 != e4
| op(e3,e0) = e4 ),
inference(resolve,[$cnf( $equal(op(e3,e0),e4) )],[refute_0_454,refute_0_455]) ).
cnf(refute_0_457,plain,
( e4 != e4
| op(e2,e4) = e4 ),
inference(resolve,[$cnf( $equal(op(e3,e0),e4) )],[refute_0_456,refute_0_111]) ).
cnf(refute_0_458,plain,
e4 = e4,
introduced(tautology,[refl,[$fot(e4)]]) ).
cnf(refute_0_459,plain,
op(e2,e4) = e4,
inference(resolve,[$cnf( $equal(e4,e4) )],[refute_0_458,refute_0_457]) ).
cnf(refute_0_460,plain,
op(op(e2,e4),op(e4,e2)) = op(op(e2,e4),op(e4,e2)),
introduced(tautology,[refl,[$fot(op(op(e2,e4),op(e4,e2)))]]) ).
cnf(refute_0_461,plain,
( op(e2,e4) != e4
| op(op(e2,e4),op(e4,e2)) != op(op(e2,e4),op(e4,e2))
| op(op(e2,e4),op(e4,e2)) = op(e4,op(e4,e2)) ),
introduced(tautology,[equality,[$cnf( $equal(op(op(e2,e4),op(e4,e2)),op(op(e2,e4),op(e4,e2))) ),[1,0],$fot(e4)]]) ).
cnf(refute_0_462,plain,
( op(e2,e4) != e4
| op(op(e2,e4),op(e4,e2)) = op(e4,op(e4,e2)) ),
inference(resolve,[$cnf( $equal(op(op(e2,e4),op(e4,e2)),op(op(e2,e4),op(e4,e2))) )],[refute_0_460,refute_0_461]) ).
cnf(refute_0_463,plain,
op(op(e2,e4),op(e4,e2)) = op(e4,op(e4,e2)),
inference(resolve,[$cnf( $equal(op(e2,e4),e4) )],[refute_0_459,refute_0_462]) ).
cnf(refute_0_464,plain,
( op(op(e2,e4),op(e4,e2)) != e4
| op(op(e2,e4),op(e4,e2)) != op(e4,op(e4,e2))
| op(e4,op(e4,e2)) = e4 ),
introduced(tautology,[equality,[$cnf( $equal(op(op(e2,e4),op(e4,e2)),e4) ),[0],$fot(op(e4,op(e4,e2)))]]) ).
cnf(refute_0_465,plain,
( op(op(e2,e4),op(e4,e2)) != e4
| op(e4,op(e4,e2)) = e4 ),
inference(resolve,[$cnf( $equal(op(op(e2,e4),op(e4,e2)),op(e4,op(e4,e2))) )],[refute_0_463,refute_0_464]) ).
cnf(refute_0_466,plain,
op(e4,op(e4,e2)) = e4,
inference(resolve,[$cnf( $equal(op(op(e2,e4),op(e4,e2)),e4) )],[refute_0_74,refute_0_465]) ).
cnf(refute_0_467,plain,
( op(e4,e0) = e3
| op(e4,e1) = e3
| op(e4,e2) = e3
| op(e4,e3) = e3
| op(e4,e4) = e3 ),
inference(canonicalize,[],[normalize_0_71]) ).
cnf(refute_0_468,plain,
( e1 = e3
| op(e4,e0) = e3
| op(e4,e1) = e3
| op(e4,e2) = e3
| op(e4,e3) = e3 ),
inference(resolve,[$cnf( $equal(op(e4,e4),e3) )],[refute_0_467,refute_0_171]) ).
cnf(refute_0_469,plain,
( op(e4,e0) = e3
| op(e4,e1) = e3
| op(e4,e2) = e3
| op(e4,e3) = e3 ),
inference(resolve,[$cnf( $equal(e1,e3) )],[refute_0_468,refute_0_173]) ).
cnf(refute_0_470,plain,
( op(e4,e1) = e3
| op(e4,e2) = e3
| op(e4,e3) = e3 ),
inference(resolve,[$cnf( $equal(op(e4,e0),e3) )],[refute_0_469,refute_0_265]) ).
cnf(refute_0_471,plain,
( op(e4,e1) != e0
| op(e4,e1) != e3
| e0 = e3 ),
introduced(tautology,[equality,[$cnf( $equal(op(e4,e1),e3) ),[0],$fot(e0)]]) ).
cnf(refute_0_472,plain,
( op(e4,e1) != e3
| e0 = e3 ),
inference(resolve,[$cnf( $equal(op(e4,e1),e0) )],[refute_0_121,refute_0_471]) ).
cnf(refute_0_473,plain,
( e0 = e3
| op(e4,e2) = e3
| op(e4,e3) = e3 ),
inference(resolve,[$cnf( $equal(op(e4,e1),e3) )],[refute_0_470,refute_0_472]) ).
cnf(refute_0_474,plain,
op(e0,e0) != e0,
inference(canonicalize,[],[normalize_0_72]) ).
cnf(refute_0_475,plain,
( e3 != e0
| op(e0,e0) != e3
| op(e0,e0) = e0 ),
introduced(tautology,[equality,[$cnf( $equal(op(e0,e0),e3) ),[1],$fot(e0)]]) ).
cnf(refute_0_476,plain,
( e3 != e0
| op(e0,e0) = e0 ),
inference(resolve,[$cnf( $equal(op(e0,e0),e3) )],[refute_0_59,refute_0_475]) ).
cnf(refute_0_477,plain,
e3 != e0,
inference(resolve,[$cnf( $equal(op(e0,e0),e0) )],[refute_0_476,refute_0_474]) ).
cnf(refute_0_478,plain,
( e0 != e3
| e3 = e0 ),
inference(subst,[],[refute_0_6:[bind(X,$fot(e0)),bind(Y,$fot(e3))]]) ).
cnf(refute_0_479,plain,
e0 != e3,
inference(resolve,[$cnf( $equal(e3,e0) )],[refute_0_478,refute_0_477]) ).
cnf(refute_0_480,plain,
( op(e4,e2) = e3
| op(e4,e3) = e3 ),
inference(resolve,[$cnf( $equal(e0,e3) )],[refute_0_473,refute_0_479]) ).
cnf(refute_0_481,plain,
op(e2,e3) != op(e4,e3),
inference(canonicalize,[],[normalize_0_73]) ).
cnf(refute_0_482,plain,
( e3 != op(e4,e3)
| op(e2,e3) != e3
| op(e2,e3) = op(e4,e3) ),
introduced(tautology,[equality,[$cnf( $equal(op(e2,e3),e3) ),[1],$fot(op(e4,e3))]]) ).
cnf(refute_0_483,plain,
( e3 != op(e4,e3)
| op(e2,e3) = op(e4,e3) ),
inference(resolve,[$cnf( $equal(op(e2,e3),e3) )],[refute_0_443,refute_0_482]) ).
cnf(refute_0_484,plain,
e3 != op(e4,e3),
inference(resolve,[$cnf( $equal(op(e2,e3),op(e4,e3)) )],[refute_0_483,refute_0_481]) ).
cnf(refute_0_485,plain,
( op(e4,e3) != e3
| e3 = op(e4,e3) ),
inference(subst,[],[refute_0_6:[bind(X,$fot(op(e4,e3))),bind(Y,$fot(e3))]]) ).
cnf(refute_0_486,plain,
op(e4,e3) != e3,
inference(resolve,[$cnf( $equal(e3,op(e4,e3)) )],[refute_0_485,refute_0_484]) ).
cnf(refute_0_487,plain,
op(e4,e2) = e3,
inference(resolve,[$cnf( $equal(op(e4,e3),e3) )],[refute_0_480,refute_0_486]) ).
cnf(refute_0_488,plain,
op(e4,op(e4,e2)) = op(e4,op(e4,e2)),
introduced(tautology,[refl,[$fot(op(e4,op(e4,e2)))]]) ).
cnf(refute_0_489,plain,
( op(e4,e2) != e3
| op(e4,op(e4,e2)) != op(e4,op(e4,e2))
| op(e4,op(e4,e2)) = op(e4,e3) ),
introduced(tautology,[equality,[$cnf( $equal(op(e4,op(e4,e2)),op(e4,op(e4,e2))) ),[1,1],$fot(e3)]]) ).
cnf(refute_0_490,plain,
( op(e4,e2) != e3
| op(e4,op(e4,e2)) = op(e4,e3) ),
inference(resolve,[$cnf( $equal(op(e4,op(e4,e2)),op(e4,op(e4,e2))) )],[refute_0_488,refute_0_489]) ).
cnf(refute_0_491,plain,
op(e4,op(e4,e2)) = op(e4,e3),
inference(resolve,[$cnf( $equal(op(e4,e2),e3) )],[refute_0_487,refute_0_490]) ).
cnf(refute_0_492,plain,
( op(e4,op(e4,e2)) != e4
| op(e4,op(e4,e2)) != op(e4,e3)
| op(e4,e3) = e4 ),
introduced(tautology,[equality,[$cnf( $equal(op(e4,op(e4,e2)),e4) ),[0],$fot(op(e4,e3))]]) ).
cnf(refute_0_493,plain,
( op(e4,op(e4,e2)) != e4
| op(e4,e3) = e4 ),
inference(resolve,[$cnf( $equal(op(e4,op(e4,e2)),op(e4,e3)) )],[refute_0_491,refute_0_492]) ).
cnf(refute_0_494,plain,
op(e4,e3) = e4,
inference(resolve,[$cnf( $equal(op(e4,op(e4,e2)),e4) )],[refute_0_466,refute_0_493]) ).
cnf(refute_0_495,plain,
( e4 != e4
| op(e4,e3) != e4
| op(e4,e3) = e4 ),
introduced(tautology,[equality,[$cnf( $equal(op(e4,e3),e4) ),[0,0],$fot(e4)]]) ).
cnf(refute_0_496,plain,
( e4 != e4
| op(e4,e3) = e4 ),
inference(resolve,[$cnf( $equal(op(e4,e3),e4) )],[refute_0_494,refute_0_495]) ).
cnf(refute_0_497,plain,
( e4 != e4
| definitionFOFtoCNF_1 ),
inference(resolve,[$cnf( $equal(op(e4,e3),e4) )],[refute_0_496,refute_0_73]) ).
cnf(refute_0_498,plain,
definitionFOFtoCNF_1,
inference(resolve,[$cnf( $equal(e4,e4) )],[refute_0_458,refute_0_497]) ).
cnf(refute_0_499,plain,
~ definitionFOFtoCNF_0,
inference(resolve,[$cnf( definitionFOFtoCNF_1 )],[refute_0_498,refute_0_72]) ).
cnf(refute_0_500,plain,
( op(e2,e2) != e2
| definitionFOFtoCNF_0
| definitionFOFtoCNF_2
| definitionFOFtoCNF_3 ),
inference(canonicalize,[],[normalize_0_82]) ).
cnf(refute_0_501,plain,
( op(e0,e2) = e2
| op(e1,e2) = e2
| op(e2,e2) = e2
| op(e3,e2) = e2
| op(e4,e2) = e2 ),
inference(canonicalize,[],[normalize_0_83]) ).
cnf(refute_0_502,plain,
op(e0,e1) != op(e0,e2),
inference(canonicalize,[],[normalize_0_84]) ).
cnf(refute_0_503,plain,
( e2 != op(e0,e2)
| op(e0,e1) != e2
| op(e0,e1) = op(e0,e2) ),
introduced(tautology,[equality,[$cnf( $equal(op(e0,e1),e2) ),[1],$fot(op(e0,e2))]]) ).
cnf(refute_0_504,plain,
( e2 != op(e0,e2)
| op(e0,e1) = op(e0,e2) ),
inference(resolve,[$cnf( $equal(op(e0,e1),e2) )],[refute_0_35,refute_0_503]) ).
cnf(refute_0_505,plain,
e2 != op(e0,e2),
inference(resolve,[$cnf( $equal(op(e0,e1),op(e0,e2)) )],[refute_0_504,refute_0_502]) ).
cnf(refute_0_506,plain,
( op(e0,e2) != e2
| e2 = op(e0,e2) ),
inference(subst,[],[refute_0_6:[bind(X,$fot(op(e0,e2))),bind(Y,$fot(e2))]]) ).
cnf(refute_0_507,plain,
op(e0,e2) != e2,
inference(resolve,[$cnf( $equal(e2,op(e0,e2)) )],[refute_0_506,refute_0_505]) ).
cnf(refute_0_508,plain,
( op(e1,e2) = e2
| op(e2,e2) = e2
| op(e3,e2) = e2
| op(e4,e2) = e2 ),
inference(resolve,[$cnf( $equal(op(e0,e2),e2) )],[refute_0_501,refute_0_507]) ).
cnf(refute_0_509,plain,
( op(e1,e2) != e0
| op(e1,e2) != e2
| e0 = e2 ),
introduced(tautology,[equality,[$cnf( $equal(op(e1,e2),e2) ),[0],$fot(e0)]]) ).
cnf(refute_0_510,plain,
( op(e1,e2) != e2
| e0 = e2 ),
inference(resolve,[$cnf( $equal(op(e1,e2),e0) )],[refute_0_406,refute_0_509]) ).
cnf(refute_0_511,plain,
( e0 = e2
| op(e2,e2) = e2
| op(e3,e2) = e2
| op(e4,e2) = e2 ),
inference(resolve,[$cnf( $equal(op(e1,e2),e2) )],[refute_0_508,refute_0_510]) ).
cnf(refute_0_512,plain,
( op(e2,e2) = e2
| op(e3,e2) = e2
| op(e4,e2) = e2 ),
inference(resolve,[$cnf( $equal(e0,e2) )],[refute_0_511,refute_0_382]) ).
cnf(refute_0_513,plain,
op(e4,e0) != op(e4,e2),
inference(canonicalize,[],[normalize_0_85]) ).
cnf(refute_0_514,plain,
( e2 != op(e4,e2)
| op(e4,e0) != e2
| op(e4,e0) = op(e4,e2) ),
introduced(tautology,[equality,[$cnf( $equal(op(e4,e0),e2) ),[1],$fot(op(e4,e2))]]) ).
cnf(refute_0_515,plain,
( e2 != op(e4,e2)
| op(e4,e0) = op(e4,e2) ),
inference(resolve,[$cnf( $equal(op(e4,e0),e2) )],[refute_0_275,refute_0_514]) ).
cnf(refute_0_516,plain,
e2 != op(e4,e2),
inference(resolve,[$cnf( $equal(op(e4,e0),op(e4,e2)) )],[refute_0_515,refute_0_513]) ).
cnf(refute_0_517,plain,
( op(e4,e2) != e2
| e2 = op(e4,e2) ),
inference(subst,[],[refute_0_6:[bind(X,$fot(op(e4,e2))),bind(Y,$fot(e2))]]) ).
cnf(refute_0_518,plain,
op(e4,e2) != e2,
inference(resolve,[$cnf( $equal(e2,op(e4,e2)) )],[refute_0_517,refute_0_516]) ).
cnf(refute_0_519,plain,
( op(e2,e2) = e2
| op(e3,e2) = e2 ),
inference(resolve,[$cnf( $equal(op(e4,e2),e2) )],[refute_0_512,refute_0_518]) ).
cnf(refute_0_520,plain,
( op(e3,e2) != e1
| op(e3,e2) != e2
| e1 = e2 ),
introduced(tautology,[equality,[$cnf( $equal(op(e3,e2),e2) ),[0],$fot(e1)]]) ).
cnf(refute_0_521,plain,
( op(e3,e2) != e2
| e1 = e2 ),
inference(resolve,[$cnf( $equal(op(e3,e2),e1) )],[refute_0_425,refute_0_520]) ).
cnf(refute_0_522,plain,
( e1 = e2
| op(e2,e2) = e2 ),
inference(resolve,[$cnf( $equal(op(e3,e2),e2) )],[refute_0_519,refute_0_521]) ).
cnf(refute_0_523,plain,
op(e2,e2) = e2,
inference(resolve,[$cnf( $equal(e1,e2) )],[refute_0_522,refute_0_296]) ).
cnf(refute_0_524,plain,
( e2 != e2
| op(e2,e2) != e2
| op(e2,e2) = e2 ),
introduced(tautology,[equality,[$cnf( $equal(op(e2,e2),e2) ),[0,0],$fot(e2)]]) ).
cnf(refute_0_525,plain,
( e2 != e2
| op(e2,e2) = e2 ),
inference(resolve,[$cnf( $equal(op(e2,e2),e2) )],[refute_0_523,refute_0_524]) ).
cnf(refute_0_526,plain,
( e2 != e2
| definitionFOFtoCNF_0
| definitionFOFtoCNF_2
| definitionFOFtoCNF_3 ),
inference(resolve,[$cnf( $equal(op(e2,e2),e2) )],[refute_0_525,refute_0_500]) ).
cnf(refute_0_527,plain,
( definitionFOFtoCNF_0
| definitionFOFtoCNF_2
| definitionFOFtoCNF_3 ),
inference(resolve,[$cnf( $equal(e2,e2) )],[refute_0_387,refute_0_526]) ).
cnf(refute_0_528,plain,
( op(e3,e1) != e3
| ~ definitionFOFtoCNF_2 ),
inference(canonicalize,[],[normalize_0_87]) ).
cnf(refute_0_529,plain,
( e3 != e3
| op(e3,e1) != e3
| op(e3,e1) = e3 ),
introduced(tautology,[equality,[$cnf( $equal(op(e3,e1),e3) ),[0,0],$fot(e3)]]) ).
cnf(refute_0_530,plain,
( e3 != e3
| op(e3,e1) = e3 ),
inference(resolve,[$cnf( $equal(op(e3,e1),e3) )],[refute_0_352,refute_0_529]) ).
cnf(refute_0_531,plain,
( e3 != e3
| ~ definitionFOFtoCNF_2 ),
inference(resolve,[$cnf( $equal(op(e3,e1),e3) )],[refute_0_530,refute_0_528]) ).
cnf(refute_0_532,plain,
~ definitionFOFtoCNF_2,
inference(resolve,[$cnf( $equal(e3,e3) )],[refute_0_179,refute_0_531]) ).
cnf(refute_0_533,plain,
( definitionFOFtoCNF_0
| definitionFOFtoCNF_3 ),
inference(resolve,[$cnf( definitionFOFtoCNF_2 )],[refute_0_527,refute_0_532]) ).
cnf(refute_0_534,plain,
( op(e1,e0) != e1
| ~ definitionFOFtoCNF_3 ),
inference(canonicalize,[],[normalize_0_89]) ).
cnf(refute_0_535,plain,
( e1 != e1
| op(e1,e0) != e1
| op(e1,e0) = e1 ),
introduced(tautology,[equality,[$cnf( $equal(op(e1,e0),e1) ),[0,0],$fot(e1)]]) ).
cnf(refute_0_536,plain,
( e1 != e1
| op(e1,e0) = e1 ),
inference(resolve,[$cnf( $equal(op(e1,e0),e1) )],[refute_0_341,refute_0_535]) ).
cnf(refute_0_537,plain,
( e1 != e1
| ~ definitionFOFtoCNF_3 ),
inference(resolve,[$cnf( $equal(op(e1,e0),e1) )],[refute_0_536,refute_0_534]) ).
cnf(refute_0_538,plain,
~ definitionFOFtoCNF_3,
inference(resolve,[$cnf( $equal(e1,e1) )],[refute_0_330,refute_0_537]) ).
cnf(refute_0_539,plain,
definitionFOFtoCNF_0,
inference(resolve,[$cnf( definitionFOFtoCNF_3 )],[refute_0_533,refute_0_538]) ).
cnf(refute_0_540,plain,
$false,
inference(resolve,[$cnf( definitionFOFtoCNF_0 )],[refute_0_539,refute_0_499]) ).
fof(negate_1_0,plain,
~ ( ( ( ( op(e0,e0) != e0
& op(e1,e0) != e1
& op(e2,e0) != e2
& op(e3,e0) != e3
& op(e4,e0) != e4 )
| ( op(e0,e1) != e0
& op(e1,e1) != e1
& op(e2,e1) != e2
& op(e3,e1) != e3
& op(e4,e1) != e4 )
| ( op(e0,e2) != e0
& op(e1,e2) != e1
& op(e2,e2) != e2
& op(e3,e2) != e3
& op(e4,e2) != e4 )
| ( op(e0,e3) != e0
& op(e1,e3) != e1
& op(e2,e3) != e2
& op(e3,e3) != e3
& op(e4,e3) != e4 )
| ( op(e0,e4) != e0
& op(e1,e4) != e1
& op(e2,e4) != e2
& op(e3,e4) != e3
& op(e4,e4) != e4 ) )
& ~ ( op(e0,e0) != e0
& op(e0,e1) != e1
& op(e0,e2) != e2
& op(e0,e3) != e3
& op(e0,e4) != e4 )
& op(e1,e0) != e0
& op(e1,e1) != e1
& op(e1,e2) != e2
& op(e1,e3) != e3 )
=> op(e1,e4) = e4 ),
inference(negate,[],[subgoal_1]) ).
fof(normalize_1_0,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_1_1,plain,
op(op(e1,e0),op(e0,e1)) = e0,
inference(conjunct,[],[normalize_1_0]) ).
fof(normalize_1_2,plain,
( e0 = op(e4,op(e4,e4))
& e1 = op(e4,e4)
& e2 = op(op(e4,op(e4,e4)),op(e4,e4))
& e3 = op(op(e4,op(e4,e4)),op(e4,op(e4,e4))) ),
inference(canonicalize,[],[ax6]) ).
fof(normalize_1_3,plain,
e2 = op(op(e4,op(e4,e4)),op(e4,e4)),
inference(conjunct,[],[normalize_1_2]) ).
fof(normalize_1_4,plain,
e1 = op(e4,e4),
inference(conjunct,[],[normalize_1_2]) ).
fof(normalize_1_5,plain,
e0 = op(e4,op(e4,e4)),
inference(conjunct,[],[normalize_1_2]) ).
fof(normalize_1_6,plain,
op(op(e2,e0),op(e0,e2)) = e0,
inference(conjunct,[],[normalize_1_0]) ).
fof(normalize_1_7,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_1_8,plain,
op(e0,e2) != op(e0,e3),
inference(conjunct,[],[normalize_1_7]) ).
fof(normalize_1_9,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_1_10,plain,
( op(e0,e2) = e0
| op(e0,e2) = e1
| op(e0,e2) = e2
| op(e0,e2) = e3
| op(e0,e2) = e4 ),
inference(conjunct,[],[normalize_1_9]) ).
fof(normalize_1_11,plain,
op(e0,e1) != op(e0,e2),
inference(conjunct,[],[normalize_1_7]) ).
fof(normalize_1_12,plain,
op(e0,e0) != op(e0,e2),
inference(conjunct,[],[normalize_1_7]) ).
fof(normalize_1_13,plain,
e3 = op(op(e4,op(e4,e4)),op(e4,op(e4,e4))),
inference(conjunct,[],[normalize_1_2]) ).
fof(normalize_1_14,plain,
op(e0,e2) != op(e0,e4),
inference(conjunct,[],[normalize_1_7]) ).
fof(normalize_1_15,plain,
( op(e1,e0) != e0
& op(e1,e1) != e1
& op(e1,e2) != e2
& op(e1,e3) != e3
& op(e1,e4) != e4
& ( op(e0,e0) = e0
| op(e0,e1) = e1
| op(e0,e2) = e2
| op(e0,e3) = e3
| op(e0,e4) = e4 )
& ( ( op(e0,e0) != e0
& op(e1,e0) != e1
& op(e2,e0) != e2
& op(e3,e0) != e3
& op(e4,e0) != e4 )
| ( op(e0,e1) != e0
& op(e1,e1) != e1
& op(e2,e1) != e2
& op(e3,e1) != e3
& op(e4,e1) != e4 )
| ( op(e0,e2) != e0
& op(e1,e2) != e1
& op(e2,e2) != e2
& op(e3,e2) != e3
& op(e4,e2) != e4 )
| ( op(e0,e3) != e0
& op(e1,e3) != e1
& op(e2,e3) != e2
& op(e3,e3) != e3
& op(e4,e3) != e4 )
| ( op(e0,e4) != e0
& op(e1,e4) != e1
& op(e2,e4) != e2
& op(e3,e4) != e3
& op(e4,e4) != e4 ) ) ),
inference(canonicalize,[],[negate_1_0]) ).
fof(normalize_1_16,plain,
( op(e0,e0) = e0
| op(e0,e1) = e1
| op(e0,e2) = e2
| op(e0,e3) = e3
| op(e0,e4) = e4 ),
inference(conjunct,[],[normalize_1_15]) ).
fof(normalize_1_17,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_1_18,plain,
e1 != e2,
inference(conjunct,[],[normalize_1_17]) ).
fof(normalize_1_19,plain,
e0 != e3,
inference(conjunct,[],[normalize_1_17]) ).
fof(normalize_1_20,plain,
op(e0,e0) != op(e0,e3),
inference(conjunct,[],[normalize_1_7]) ).
fof(normalize_1_21,plain,
( op(e0,e3) = e0
| op(e0,e3) = e1
| op(e0,e3) = e2
| op(e0,e3) = e3
| op(e0,e3) = e4 ),
inference(conjunct,[],[normalize_1_9]) ).
fof(normalize_1_22,plain,
op(e0,e1) != op(e0,e3),
inference(conjunct,[],[normalize_1_7]) ).
fof(normalize_1_23,plain,
op(e0,e3) != op(e3,e3),
inference(conjunct,[],[normalize_1_7]) ).
fof(normalize_1_24,plain,
op(op(e0,e0),op(e0,e0)) = e0,
inference(conjunct,[],[normalize_1_0]) ).
fof(normalize_1_25,plain,
op(e0,e3) != op(e0,e4),
inference(conjunct,[],[normalize_1_7]) ).
fof(normalize_1_26,plain,
op(op(e3,e0),op(e0,e3)) = e0,
inference(conjunct,[],[normalize_1_0]) ).
fof(normalize_1_27,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_1_28,plain,
( op(e0,e0) = e1
| op(e1,e0) = e1
| op(e2,e0) = e1
| op(e3,e0) = e1
| op(e4,e0) = e1 ),
inference(conjunct,[],[normalize_1_27]) ).
fof(normalize_1_29,plain,
e1 != e3,
inference(conjunct,[],[normalize_1_17]) ).
fof(normalize_1_30,plain,
op(e4,e0) != op(e4,e4),
inference(conjunct,[],[normalize_1_7]) ).
fof(normalize_1_31,plain,
op(op(e4,e4),op(e4,e4)) = e4,
inference(conjunct,[],[normalize_1_0]) ).
fof(normalize_1_32,plain,
e0 != e4,
inference(conjunct,[],[normalize_1_17]) ).
fof(normalize_1_33,plain,
op(e1,e0) != e0,
inference(conjunct,[],[normalize_1_15]) ).
fof(normalize_1_34,plain,
op(e0,e2) != op(e1,e2),
inference(conjunct,[],[normalize_1_7]) ).
cnf(refute_1_0,plain,
op(op(e1,e0),op(e0,e1)) = e0,
inference(canonicalize,[],[normalize_1_1]) ).
cnf(refute_1_1,plain,
e2 = op(op(e4,op(e4,e4)),op(e4,e4)),
inference(canonicalize,[],[normalize_1_3]) ).
cnf(refute_1_2,plain,
e1 = op(e4,e4),
inference(canonicalize,[],[normalize_1_4]) ).
cnf(refute_1_3,plain,
X = X,
introduced(tautology,[refl,[$fot(X)]]) ).
cnf(refute_1_4,plain,
( X != X
| X != Y
| Y = X ),
introduced(tautology,[equality,[$cnf( $equal(X,X) ),[0],$fot(Y)]]) ).
cnf(refute_1_5,plain,
( X != Y
| Y = X ),
inference(resolve,[$cnf( $equal(X,X) )],[refute_1_3,refute_1_4]) ).
cnf(refute_1_6,plain,
( e1 != op(e4,e4)
| op(e4,e4) = e1 ),
inference(subst,[],[refute_1_5:[bind(X,$fot(e1)),bind(Y,$fot(op(e4,e4)))]]) ).
cnf(refute_1_7,plain,
op(e4,e4) = e1,
inference(resolve,[$cnf( $equal(e1,op(e4,e4)) )],[refute_1_2,refute_1_6]) ).
cnf(refute_1_8,plain,
op(e0,op(e4,e4)) = op(e0,op(e4,e4)),
introduced(tautology,[refl,[$fot(op(e0,op(e4,e4)))]]) ).
cnf(refute_1_9,plain,
( op(e0,op(e4,e4)) != op(e0,op(e4,e4))
| op(e4,e4) != e1
| op(e0,op(e4,e4)) = op(e0,e1) ),
introduced(tautology,[equality,[$cnf( $equal(op(e0,op(e4,e4)),op(e0,op(e4,e4))) ),[1,1],$fot(e1)]]) ).
cnf(refute_1_10,plain,
( op(e4,e4) != e1
| op(e0,op(e4,e4)) = op(e0,e1) ),
inference(resolve,[$cnf( $equal(op(e0,op(e4,e4)),op(e0,op(e4,e4))) )],[refute_1_8,refute_1_9]) ).
cnf(refute_1_11,plain,
op(e0,op(e4,e4)) = op(e0,e1),
inference(resolve,[$cnf( $equal(op(e4,e4),e1) )],[refute_1_7,refute_1_10]) ).
cnf(refute_1_12,plain,
e0 = op(e4,op(e4,e4)),
inference(canonicalize,[],[normalize_1_5]) ).
cnf(refute_1_13,plain,
( e0 != op(e4,op(e4,e4))
| op(e4,op(e4,e4)) = e0 ),
inference(subst,[],[refute_1_5:[bind(X,$fot(e0)),bind(Y,$fot(op(e4,op(e4,e4))))]]) ).
cnf(refute_1_14,plain,
op(e4,op(e4,e4)) = e0,
inference(resolve,[$cnf( $equal(e0,op(e4,op(e4,e4))) )],[refute_1_12,refute_1_13]) ).
cnf(refute_1_15,plain,
op(op(e4,op(e4,e4)),op(e4,e4)) = op(op(e4,op(e4,e4)),op(e4,e4)),
introduced(tautology,[refl,[$fot(op(op(e4,op(e4,e4)),op(e4,e4)))]]) ).
cnf(refute_1_16,plain,
( op(e4,op(e4,e4)) != e0
| op(op(e4,op(e4,e4)),op(e4,e4)) != op(op(e4,op(e4,e4)),op(e4,e4))
| op(op(e4,op(e4,e4)),op(e4,e4)) = op(e0,op(e4,e4)) ),
introduced(tautology,[equality,[$cnf( $equal(op(op(e4,op(e4,e4)),op(e4,e4)),op(op(e4,op(e4,e4)),op(e4,e4))) ),[1,0],$fot(e0)]]) ).
cnf(refute_1_17,plain,
( op(e4,op(e4,e4)) != e0
| op(op(e4,op(e4,e4)),op(e4,e4)) = op(e0,op(e4,e4)) ),
inference(resolve,[$cnf( $equal(op(op(e4,op(e4,e4)),op(e4,e4)),op(op(e4,op(e4,e4)),op(e4,e4))) )],[refute_1_15,refute_1_16]) ).
cnf(refute_1_18,plain,
op(op(e4,op(e4,e4)),op(e4,e4)) = op(e0,op(e4,e4)),
inference(resolve,[$cnf( $equal(op(e4,op(e4,e4)),e0) )],[refute_1_14,refute_1_17]) ).
cnf(refute_1_19,plain,
( Y != X
| Y != Z
| X = Z ),
introduced(tautology,[equality,[$cnf( $equal(Y,Z) ),[0],$fot(X)]]) ).
cnf(refute_1_20,plain,
( X != Y
| Y != Z
| X = Z ),
inference(resolve,[$cnf( $equal(Y,X) )],[refute_1_5,refute_1_19]) ).
cnf(refute_1_21,plain,
( op(e0,op(e4,e4)) != op(e0,e1)
| op(op(e4,op(e4,e4)),op(e4,e4)) != op(e0,op(e4,e4))
| op(op(e4,op(e4,e4)),op(e4,e4)) = op(e0,e1) ),
inference(subst,[],[refute_1_20:[bind(X,$fot(op(op(e4,op(e4,e4)),op(e4,e4)))),bind(Y,$fot(op(e0,op(e4,e4)))),bind(Z,$fot(op(e0,e1)))]]) ).
cnf(refute_1_22,plain,
( op(e0,op(e4,e4)) != op(e0,e1)
| op(op(e4,op(e4,e4)),op(e4,e4)) = op(e0,e1) ),
inference(resolve,[$cnf( $equal(op(op(e4,op(e4,e4)),op(e4,e4)),op(e0,op(e4,e4))) )],[refute_1_18,refute_1_21]) ).
cnf(refute_1_23,plain,
op(op(e4,op(e4,e4)),op(e4,e4)) = op(e0,e1),
inference(resolve,[$cnf( $equal(op(e0,op(e4,e4)),op(e0,e1)) )],[refute_1_11,refute_1_22]) ).
cnf(refute_1_24,plain,
( e2 != op(op(e4,op(e4,e4)),op(e4,e4))
| op(op(e4,op(e4,e4)),op(e4,e4)) != op(e0,e1)
| e2 = op(e0,e1) ),
introduced(tautology,[equality,[$cnf( ~ $equal(e2,op(e0,e1)) ),[0],$fot(op(op(e4,op(e4,e4)),op(e4,e4)))]]) ).
cnf(refute_1_25,plain,
( e2 != op(op(e4,op(e4,e4)),op(e4,e4))
| e2 = op(e0,e1) ),
inference(resolve,[$cnf( $equal(op(op(e4,op(e4,e4)),op(e4,e4)),op(e0,e1)) )],[refute_1_23,refute_1_24]) ).
cnf(refute_1_26,plain,
e2 = op(e0,e1),
inference(resolve,[$cnf( $equal(e2,op(op(e4,op(e4,e4)),op(e4,e4))) )],[refute_1_1,refute_1_25]) ).
cnf(refute_1_27,plain,
( e2 != op(e0,e1)
| op(e0,e1) = e2 ),
inference(subst,[],[refute_1_5:[bind(X,$fot(e2)),bind(Y,$fot(op(e0,e1)))]]) ).
cnf(refute_1_28,plain,
op(e0,e1) = e2,
inference(resolve,[$cnf( $equal(e2,op(e0,e1)) )],[refute_1_26,refute_1_27]) ).
cnf(refute_1_29,plain,
op(op(e1,e0),op(e0,e1)) = op(op(e1,e0),op(e0,e1)),
introduced(tautology,[refl,[$fot(op(op(e1,e0),op(e0,e1)))]]) ).
cnf(refute_1_30,plain,
( op(e0,e1) != e2
| op(op(e1,e0),op(e0,e1)) != op(op(e1,e0),op(e0,e1))
| op(op(e1,e0),op(e0,e1)) = op(op(e1,e0),e2) ),
introduced(tautology,[equality,[$cnf( $equal(op(op(e1,e0),op(e0,e1)),op(op(e1,e0),op(e0,e1))) ),[1,1],$fot(e2)]]) ).
cnf(refute_1_31,plain,
( op(e0,e1) != e2
| op(op(e1,e0),op(e0,e1)) = op(op(e1,e0),e2) ),
inference(resolve,[$cnf( $equal(op(op(e1,e0),op(e0,e1)),op(op(e1,e0),op(e0,e1))) )],[refute_1_29,refute_1_30]) ).
cnf(refute_1_32,plain,
op(op(e1,e0),op(e0,e1)) = op(op(e1,e0),e2),
inference(resolve,[$cnf( $equal(op(e0,e1),e2) )],[refute_1_28,refute_1_31]) ).
cnf(refute_1_33,plain,
( op(op(e1,e0),op(e0,e1)) != e0
| op(op(e1,e0),op(e0,e1)) != op(op(e1,e0),e2)
| op(op(e1,e0),e2) = e0 ),
introduced(tautology,[equality,[$cnf( $equal(op(op(e1,e0),op(e0,e1)),e0) ),[0],$fot(op(op(e1,e0),e2))]]) ).
cnf(refute_1_34,plain,
( op(op(e1,e0),op(e0,e1)) != e0
| op(op(e1,e0),e2) = e0 ),
inference(resolve,[$cnf( $equal(op(op(e1,e0),op(e0,e1)),op(op(e1,e0),e2)) )],[refute_1_32,refute_1_33]) ).
cnf(refute_1_35,plain,
op(op(e1,e0),e2) = e0,
inference(resolve,[$cnf( $equal(op(op(e1,e0),op(e0,e1)),e0) )],[refute_1_0,refute_1_34]) ).
cnf(refute_1_36,plain,
op(op(e2,e0),op(e0,e2)) = e0,
inference(canonicalize,[],[normalize_1_6]) ).
cnf(refute_1_37,plain,
op(e0,e2) != op(e0,e3),
inference(canonicalize,[],[normalize_1_8]) ).
cnf(refute_1_38,plain,
( op(e0,e2) = e0
| op(e0,e2) = e1
| op(e0,e2) = e2
| op(e0,e2) = e3
| op(e0,e2) = e4 ),
inference(canonicalize,[],[normalize_1_10]) ).
cnf(refute_1_39,plain,
op(e0,e1) != op(e0,e2),
inference(canonicalize,[],[normalize_1_11]) ).
cnf(refute_1_40,plain,
( e2 != op(e0,e2)
| op(e0,e1) != e2
| op(e0,e1) = op(e0,e2) ),
introduced(tautology,[equality,[$cnf( $equal(op(e0,e1),e2) ),[1],$fot(op(e0,e2))]]) ).
cnf(refute_1_41,plain,
( e2 != op(e0,e2)
| op(e0,e1) = op(e0,e2) ),
inference(resolve,[$cnf( $equal(op(e0,e1),e2) )],[refute_1_28,refute_1_40]) ).
cnf(refute_1_42,plain,
e2 != op(e0,e2),
inference(resolve,[$cnf( $equal(op(e0,e1),op(e0,e2)) )],[refute_1_41,refute_1_39]) ).
cnf(refute_1_43,plain,
( op(e0,e2) != e2
| e2 = op(e0,e2) ),
inference(subst,[],[refute_1_5:[bind(X,$fot(op(e0,e2))),bind(Y,$fot(e2))]]) ).
cnf(refute_1_44,plain,
op(e0,e2) != e2,
inference(resolve,[$cnf( $equal(e2,op(e0,e2)) )],[refute_1_43,refute_1_42]) ).
cnf(refute_1_45,plain,
( op(e0,e2) = e0
| op(e0,e2) = e1
| op(e0,e2) = e3
| op(e0,e2) = e4 ),
inference(resolve,[$cnf( $equal(op(e0,e2),e2) )],[refute_1_38,refute_1_44]) ).
cnf(refute_1_46,plain,
op(e0,e0) != op(e0,e2),
inference(canonicalize,[],[normalize_1_12]) ).
cnf(refute_1_47,plain,
e3 = op(op(e4,op(e4,e4)),op(e4,op(e4,e4))),
inference(canonicalize,[],[normalize_1_13]) ).
cnf(refute_1_48,plain,
op(e0,op(e4,op(e4,e4))) = op(e0,op(e4,op(e4,e4))),
introduced(tautology,[refl,[$fot(op(e0,op(e4,op(e4,e4))))]]) ).
cnf(refute_1_49,plain,
( op(e0,op(e4,op(e4,e4))) != op(e0,op(e4,op(e4,e4)))
| op(e4,op(e4,e4)) != e0
| op(e0,op(e4,op(e4,e4))) = op(e0,e0) ),
introduced(tautology,[equality,[$cnf( $equal(op(e0,op(e4,op(e4,e4))),op(e0,op(e4,op(e4,e4)))) ),[1,1],$fot(e0)]]) ).
cnf(refute_1_50,plain,
( op(e4,op(e4,e4)) != e0
| op(e0,op(e4,op(e4,e4))) = op(e0,e0) ),
inference(resolve,[$cnf( $equal(op(e0,op(e4,op(e4,e4))),op(e0,op(e4,op(e4,e4)))) )],[refute_1_48,refute_1_49]) ).
cnf(refute_1_51,plain,
op(e0,op(e4,op(e4,e4))) = op(e0,e0),
inference(resolve,[$cnf( $equal(op(e4,op(e4,e4)),e0) )],[refute_1_14,refute_1_50]) ).
cnf(refute_1_52,plain,
op(op(e4,op(e4,e4)),op(e4,op(e4,e4))) = op(op(e4,op(e4,e4)),op(e4,op(e4,e4))),
introduced(tautology,[refl,[$fot(op(op(e4,op(e4,e4)),op(e4,op(e4,e4))))]]) ).
cnf(refute_1_53,plain,
( op(e4,op(e4,e4)) != e0
| op(op(e4,op(e4,e4)),op(e4,op(e4,e4))) != op(op(e4,op(e4,e4)),op(e4,op(e4,e4)))
| op(op(e4,op(e4,e4)),op(e4,op(e4,e4))) = op(e0,op(e4,op(e4,e4))) ),
introduced(tautology,[equality,[$cnf( $equal(op(op(e4,op(e4,e4)),op(e4,op(e4,e4))),op(op(e4,op(e4,e4)),op(e4,op(e4,e4)))) ),[1,0],$fot(e0)]]) ).
cnf(refute_1_54,plain,
( op(e4,op(e4,e4)) != e0
| op(op(e4,op(e4,e4)),op(e4,op(e4,e4))) = op(e0,op(e4,op(e4,e4))) ),
inference(resolve,[$cnf( $equal(op(op(e4,op(e4,e4)),op(e4,op(e4,e4))),op(op(e4,op(e4,e4)),op(e4,op(e4,e4)))) )],[refute_1_52,refute_1_53]) ).
cnf(refute_1_55,plain,
op(op(e4,op(e4,e4)),op(e4,op(e4,e4))) = op(e0,op(e4,op(e4,e4))),
inference(resolve,[$cnf( $equal(op(e4,op(e4,e4)),e0) )],[refute_1_14,refute_1_54]) ).
cnf(refute_1_56,plain,
( op(e0,op(e4,op(e4,e4))) != op(e0,e0)
| op(op(e4,op(e4,e4)),op(e4,op(e4,e4))) != op(e0,op(e4,op(e4,e4)))
| op(op(e4,op(e4,e4)),op(e4,op(e4,e4))) = op(e0,e0) ),
inference(subst,[],[refute_1_20:[bind(X,$fot(op(op(e4,op(e4,e4)),op(e4,op(e4,e4))))),bind(Y,$fot(op(e0,op(e4,op(e4,e4))))),bind(Z,$fot(op(e0,e0)))]]) ).
cnf(refute_1_57,plain,
( op(e0,op(e4,op(e4,e4))) != op(e0,e0)
| op(op(e4,op(e4,e4)),op(e4,op(e4,e4))) = op(e0,e0) ),
inference(resolve,[$cnf( $equal(op(op(e4,op(e4,e4)),op(e4,op(e4,e4))),op(e0,op(e4,op(e4,e4)))) )],[refute_1_55,refute_1_56]) ).
cnf(refute_1_58,plain,
op(op(e4,op(e4,e4)),op(e4,op(e4,e4))) = op(e0,e0),
inference(resolve,[$cnf( $equal(op(e0,op(e4,op(e4,e4))),op(e0,e0)) )],[refute_1_51,refute_1_57]) ).
cnf(refute_1_59,plain,
( e3 != op(op(e4,op(e4,e4)),op(e4,op(e4,e4)))
| op(op(e4,op(e4,e4)),op(e4,op(e4,e4))) != op(e0,e0)
| e3 = op(e0,e0) ),
introduced(tautology,[equality,[$cnf( ~ $equal(e3,op(e0,e0)) ),[0],$fot(op(op(e4,op(e4,e4)),op(e4,op(e4,e4))))]]) ).
cnf(refute_1_60,plain,
( e3 != op(op(e4,op(e4,e4)),op(e4,op(e4,e4)))
| e3 = op(e0,e0) ),
inference(resolve,[$cnf( $equal(op(op(e4,op(e4,e4)),op(e4,op(e4,e4))),op(e0,e0)) )],[refute_1_58,refute_1_59]) ).
cnf(refute_1_61,plain,
e3 = op(e0,e0),
inference(resolve,[$cnf( $equal(e3,op(op(e4,op(e4,e4)),op(e4,op(e4,e4)))) )],[refute_1_47,refute_1_60]) ).
cnf(refute_1_62,plain,
( e3 != op(e0,e0)
| op(e0,e0) = e3 ),
inference(subst,[],[refute_1_5:[bind(X,$fot(e3)),bind(Y,$fot(op(e0,e0)))]]) ).
cnf(refute_1_63,plain,
op(e0,e0) = e3,
inference(resolve,[$cnf( $equal(e3,op(e0,e0)) )],[refute_1_61,refute_1_62]) ).
cnf(refute_1_64,plain,
( e3 != op(e0,e2)
| op(e0,e0) != e3
| op(e0,e0) = op(e0,e2) ),
introduced(tautology,[equality,[$cnf( $equal(op(e0,e0),e3) ),[1],$fot(op(e0,e2))]]) ).
cnf(refute_1_65,plain,
( e3 != op(e0,e2)
| op(e0,e0) = op(e0,e2) ),
inference(resolve,[$cnf( $equal(op(e0,e0),e3) )],[refute_1_63,refute_1_64]) ).
cnf(refute_1_66,plain,
e3 != op(e0,e2),
inference(resolve,[$cnf( $equal(op(e0,e0),op(e0,e2)) )],[refute_1_65,refute_1_46]) ).
cnf(refute_1_67,plain,
( op(e0,e2) != e3
| e3 = op(e0,e2) ),
inference(subst,[],[refute_1_5:[bind(X,$fot(op(e0,e2))),bind(Y,$fot(e3))]]) ).
cnf(refute_1_68,plain,
op(e0,e2) != e3,
inference(resolve,[$cnf( $equal(e3,op(e0,e2)) )],[refute_1_67,refute_1_66]) ).
cnf(refute_1_69,plain,
( op(e0,e2) = e0
| op(e0,e2) = e1
| op(e0,e2) = e4 ),
inference(resolve,[$cnf( $equal(op(e0,e2),e3) )],[refute_1_45,refute_1_68]) ).
cnf(refute_1_70,plain,
op(e0,e2) != op(e0,e4),
inference(canonicalize,[],[normalize_1_14]) ).
cnf(refute_1_71,plain,
( op(e0,e0) = e0
| op(e0,e1) = e1
| op(e0,e2) = e2
| op(e0,e3) = e3
| op(e0,e4) = e4 ),
inference(canonicalize,[],[normalize_1_16]) ).
cnf(refute_1_72,plain,
( op(e0,e0) != e0
| op(e0,e0) != e3
| e3 = e0 ),
introduced(tautology,[equality,[$cnf( $equal(op(e0,e0),e0) ),[0],$fot(e3)]]) ).
cnf(refute_1_73,plain,
( op(e0,e0) != e0
| e3 = e0 ),
inference(resolve,[$cnf( $equal(op(e0,e0),e3) )],[refute_1_63,refute_1_72]) ).
cnf(refute_1_74,plain,
( e3 = e0
| op(e0,e1) = e1
| op(e0,e2) = e2
| op(e0,e3) = e3
| op(e0,e4) = e4 ),
inference(resolve,[$cnf( $equal(op(e0,e0),e0) )],[refute_1_71,refute_1_73]) ).
cnf(refute_1_75,plain,
( op(e0,e1) != e1
| op(e0,e1) != e2
| e2 = e1 ),
introduced(tautology,[equality,[$cnf( $equal(op(e0,e1),e1) ),[0],$fot(e2)]]) ).
cnf(refute_1_76,plain,
( op(e0,e1) != e1
| e2 = e1 ),
inference(resolve,[$cnf( $equal(op(e0,e1),e2) )],[refute_1_28,refute_1_75]) ).
cnf(refute_1_77,plain,
( e2 = e1
| e3 = e0
| op(e0,e2) = e2
| op(e0,e3) = e3
| op(e0,e4) = e4 ),
inference(resolve,[$cnf( $equal(op(e0,e1),e1) )],[refute_1_74,refute_1_76]) ).
cnf(refute_1_78,plain,
e1 != e2,
inference(canonicalize,[],[normalize_1_18]) ).
cnf(refute_1_79,plain,
( e2 != e1
| e1 = e2 ),
inference(subst,[],[refute_1_5:[bind(X,$fot(e2)),bind(Y,$fot(e1))]]) ).
cnf(refute_1_80,plain,
e2 != e1,
inference(resolve,[$cnf( $equal(e1,e2) )],[refute_1_79,refute_1_78]) ).
cnf(refute_1_81,plain,
( e3 = e0
| op(e0,e2) = e2
| op(e0,e3) = e3
| op(e0,e4) = e4 ),
inference(resolve,[$cnf( $equal(e2,e1) )],[refute_1_77,refute_1_80]) ).
cnf(refute_1_82,plain,
e0 != e3,
inference(canonicalize,[],[normalize_1_19]) ).
cnf(refute_1_83,plain,
( e3 != e0
| e0 = e3 ),
inference(subst,[],[refute_1_5:[bind(X,$fot(e3)),bind(Y,$fot(e0))]]) ).
cnf(refute_1_84,plain,
e3 != e0,
inference(resolve,[$cnf( $equal(e0,e3) )],[refute_1_83,refute_1_82]) ).
cnf(refute_1_85,plain,
( op(e0,e2) = e2
| op(e0,e3) = e3
| op(e0,e4) = e4 ),
inference(resolve,[$cnf( $equal(e3,e0) )],[refute_1_81,refute_1_84]) ).
cnf(refute_1_86,plain,
( op(e0,e3) = e3
| op(e0,e4) = e4 ),
inference(resolve,[$cnf( $equal(op(e0,e2),e2) )],[refute_1_85,refute_1_44]) ).
cnf(refute_1_87,plain,
op(e0,e0) != op(e0,e3),
inference(canonicalize,[],[normalize_1_20]) ).
cnf(refute_1_88,plain,
( e3 != op(e0,e3)
| op(e0,e0) != e3
| op(e0,e0) = op(e0,e3) ),
introduced(tautology,[equality,[$cnf( $equal(op(e0,e0),e3) ),[1],$fot(op(e0,e3))]]) ).
cnf(refute_1_89,plain,
( e3 != op(e0,e3)
| op(e0,e0) = op(e0,e3) ),
inference(resolve,[$cnf( $equal(op(e0,e0),e3) )],[refute_1_63,refute_1_88]) ).
cnf(refute_1_90,plain,
e3 != op(e0,e3),
inference(resolve,[$cnf( $equal(op(e0,e0),op(e0,e3)) )],[refute_1_89,refute_1_87]) ).
cnf(refute_1_91,plain,
( op(e0,e3) != e3
| e3 = op(e0,e3) ),
inference(subst,[],[refute_1_5:[bind(X,$fot(op(e0,e3))),bind(Y,$fot(e3))]]) ).
cnf(refute_1_92,plain,
op(e0,e3) != e3,
inference(resolve,[$cnf( $equal(e3,op(e0,e3)) )],[refute_1_91,refute_1_90]) ).
cnf(refute_1_93,plain,
op(e0,e4) = e4,
inference(resolve,[$cnf( $equal(op(e0,e3),e3) )],[refute_1_86,refute_1_92]) ).
cnf(refute_1_94,plain,
( op(e0,e2) != e4
| op(e0,e4) != e4
| op(e0,e2) = op(e0,e4) ),
introduced(tautology,[equality,[$cnf( ~ $equal(op(e0,e2),op(e0,e4)) ),[1],$fot(e4)]]) ).
cnf(refute_1_95,plain,
( op(e0,e2) != e4
| op(e0,e2) = op(e0,e4) ),
inference(resolve,[$cnf( $equal(op(e0,e4),e4) )],[refute_1_93,refute_1_94]) ).
cnf(refute_1_96,plain,
op(e0,e2) != e4,
inference(resolve,[$cnf( $equal(op(e0,e2),op(e0,e4)) )],[refute_1_95,refute_1_70]) ).
cnf(refute_1_97,plain,
( op(e0,e2) = e0
| op(e0,e2) = e1 ),
inference(resolve,[$cnf( $equal(op(e0,e2),e4) )],[refute_1_69,refute_1_96]) ).
cnf(refute_1_98,plain,
( e1 != op(e0,e3)
| op(e0,e2) != e1
| op(e0,e2) = op(e0,e3) ),
introduced(tautology,[equality,[$cnf( $equal(op(e0,e2),e1) ),[1],$fot(op(e0,e3))]]) ).
cnf(refute_1_99,plain,
( e1 != op(e0,e3)
| op(e0,e2) = e0
| op(e0,e2) = op(e0,e3) ),
inference(resolve,[$cnf( $equal(op(e0,e2),e1) )],[refute_1_97,refute_1_98]) ).
cnf(refute_1_100,plain,
( e1 != op(e0,e3)
| op(e0,e2) = e0 ),
inference(resolve,[$cnf( $equal(op(e0,e2),op(e0,e3)) )],[refute_1_99,refute_1_37]) ).
cnf(refute_1_101,plain,
( op(e0,e3) = e0
| op(e0,e3) = e1
| op(e0,e3) = e2
| op(e0,e3) = e3
| op(e0,e3) = e4 ),
inference(canonicalize,[],[normalize_1_21]) ).
cnf(refute_1_102,plain,
op(e0,e1) != op(e0,e3),
inference(canonicalize,[],[normalize_1_22]) ).
cnf(refute_1_103,plain,
( e2 != op(e0,e3)
| op(e0,e1) != e2
| op(e0,e1) = op(e0,e3) ),
introduced(tautology,[equality,[$cnf( $equal(op(e0,e1),e2) ),[1],$fot(op(e0,e3))]]) ).
cnf(refute_1_104,plain,
( e2 != op(e0,e3)
| op(e0,e1) = op(e0,e3) ),
inference(resolve,[$cnf( $equal(op(e0,e1),e2) )],[refute_1_28,refute_1_103]) ).
cnf(refute_1_105,plain,
e2 != op(e0,e3),
inference(resolve,[$cnf( $equal(op(e0,e1),op(e0,e3)) )],[refute_1_104,refute_1_102]) ).
cnf(refute_1_106,plain,
( op(e0,e3) != e2
| e2 = op(e0,e3) ),
inference(subst,[],[refute_1_5:[bind(X,$fot(op(e0,e3))),bind(Y,$fot(e2))]]) ).
cnf(refute_1_107,plain,
op(e0,e3) != e2,
inference(resolve,[$cnf( $equal(e2,op(e0,e3)) )],[refute_1_106,refute_1_105]) ).
cnf(refute_1_108,plain,
( op(e0,e3) = e0
| op(e0,e3) = e1
| op(e0,e3) = e3
| op(e0,e3) = e4 ),
inference(resolve,[$cnf( $equal(op(e0,e3),e2) )],[refute_1_101,refute_1_107]) ).
cnf(refute_1_109,plain,
( op(e0,e3) = e0
| op(e0,e3) = e1
| op(e0,e3) = e4 ),
inference(resolve,[$cnf( $equal(op(e0,e3),e3) )],[refute_1_108,refute_1_92]) ).
cnf(refute_1_110,plain,
op(e0,e3) != op(e3,e3),
inference(canonicalize,[],[normalize_1_23]) ).
cnf(refute_1_111,plain,
op(op(e0,e0),op(e0,e0)) = e0,
inference(canonicalize,[],[normalize_1_24]) ).
cnf(refute_1_112,plain,
op(e3,op(e0,e0)) = op(e3,op(e0,e0)),
introduced(tautology,[refl,[$fot(op(e3,op(e0,e0)))]]) ).
cnf(refute_1_113,plain,
( op(e0,e0) != e3
| op(e3,op(e0,e0)) != op(e3,op(e0,e0))
| op(e3,op(e0,e0)) = op(e3,e3) ),
introduced(tautology,[equality,[$cnf( $equal(op(e3,op(e0,e0)),op(e3,op(e0,e0))) ),[1,1],$fot(e3)]]) ).
cnf(refute_1_114,plain,
( op(e0,e0) != e3
| op(e3,op(e0,e0)) = op(e3,e3) ),
inference(resolve,[$cnf( $equal(op(e3,op(e0,e0)),op(e3,op(e0,e0))) )],[refute_1_112,refute_1_113]) ).
cnf(refute_1_115,plain,
op(e3,op(e0,e0)) = op(e3,e3),
inference(resolve,[$cnf( $equal(op(e0,e0),e3) )],[refute_1_63,refute_1_114]) ).
cnf(refute_1_116,plain,
op(op(e0,e0),op(e0,e0)) = op(op(e0,e0),op(e0,e0)),
introduced(tautology,[refl,[$fot(op(op(e0,e0),op(e0,e0)))]]) ).
cnf(refute_1_117,plain,
( op(e0,e0) != e3
| op(op(e0,e0),op(e0,e0)) != op(op(e0,e0),op(e0,e0))
| op(op(e0,e0),op(e0,e0)) = op(e3,op(e0,e0)) ),
introduced(tautology,[equality,[$cnf( $equal(op(op(e0,e0),op(e0,e0)),op(op(e0,e0),op(e0,e0))) ),[1,0],$fot(e3)]]) ).
cnf(refute_1_118,plain,
( op(e0,e0) != e3
| op(op(e0,e0),op(e0,e0)) = op(e3,op(e0,e0)) ),
inference(resolve,[$cnf( $equal(op(op(e0,e0),op(e0,e0)),op(op(e0,e0),op(e0,e0))) )],[refute_1_116,refute_1_117]) ).
cnf(refute_1_119,plain,
op(op(e0,e0),op(e0,e0)) = op(e3,op(e0,e0)),
inference(resolve,[$cnf( $equal(op(e0,e0),e3) )],[refute_1_63,refute_1_118]) ).
cnf(refute_1_120,plain,
( op(e3,op(e0,e0)) != op(e3,e3)
| op(op(e0,e0),op(e0,e0)) != op(e3,op(e0,e0))
| op(op(e0,e0),op(e0,e0)) = op(e3,e3) ),
inference(subst,[],[refute_1_20:[bind(X,$fot(op(op(e0,e0),op(e0,e0)))),bind(Y,$fot(op(e3,op(e0,e0)))),bind(Z,$fot(op(e3,e3)))]]) ).
cnf(refute_1_121,plain,
( op(e3,op(e0,e0)) != op(e3,e3)
| op(op(e0,e0),op(e0,e0)) = op(e3,e3) ),
inference(resolve,[$cnf( $equal(op(op(e0,e0),op(e0,e0)),op(e3,op(e0,e0))) )],[refute_1_119,refute_1_120]) ).
cnf(refute_1_122,plain,
op(op(e0,e0),op(e0,e0)) = op(e3,e3),
inference(resolve,[$cnf( $equal(op(e3,op(e0,e0)),op(e3,e3)) )],[refute_1_115,refute_1_121]) ).
cnf(refute_1_123,plain,
( op(op(e0,e0),op(e0,e0)) != e0
| op(op(e0,e0),op(e0,e0)) != op(e3,e3)
| op(e3,e3) = e0 ),
introduced(tautology,[equality,[$cnf( $equal(op(op(e0,e0),op(e0,e0)),e0) ),[0],$fot(op(e3,e3))]]) ).
cnf(refute_1_124,plain,
( op(op(e0,e0),op(e0,e0)) != e0
| op(e3,e3) = e0 ),
inference(resolve,[$cnf( $equal(op(op(e0,e0),op(e0,e0)),op(e3,e3)) )],[refute_1_122,refute_1_123]) ).
cnf(refute_1_125,plain,
op(e3,e3) = e0,
inference(resolve,[$cnf( $equal(op(op(e0,e0),op(e0,e0)),e0) )],[refute_1_111,refute_1_124]) ).
cnf(refute_1_126,plain,
( op(e0,e3) != e0
| op(e3,e3) != e0
| op(e0,e3) = op(e3,e3) ),
introduced(tautology,[equality,[$cnf( ~ $equal(op(e0,e3),op(e3,e3)) ),[1],$fot(e0)]]) ).
cnf(refute_1_127,plain,
( op(e0,e3) != e0
| op(e0,e3) = op(e3,e3) ),
inference(resolve,[$cnf( $equal(op(e3,e3),e0) )],[refute_1_125,refute_1_126]) ).
cnf(refute_1_128,plain,
op(e0,e3) != e0,
inference(resolve,[$cnf( $equal(op(e0,e3),op(e3,e3)) )],[refute_1_127,refute_1_110]) ).
cnf(refute_1_129,plain,
( op(e0,e3) = e1
| op(e0,e3) = e4 ),
inference(resolve,[$cnf( $equal(op(e0,e3),e0) )],[refute_1_109,refute_1_128]) ).
cnf(refute_1_130,plain,
op(e0,e3) != op(e0,e4),
inference(canonicalize,[],[normalize_1_25]) ).
cnf(refute_1_131,plain,
( op(e0,e3) != e4
| op(e0,e4) != e4
| op(e0,e3) = op(e0,e4) ),
introduced(tautology,[equality,[$cnf( ~ $equal(op(e0,e3),op(e0,e4)) ),[1],$fot(e4)]]) ).
cnf(refute_1_132,plain,
( op(e0,e3) != e4
| op(e0,e3) = op(e0,e4) ),
inference(resolve,[$cnf( $equal(op(e0,e4),e4) )],[refute_1_93,refute_1_131]) ).
cnf(refute_1_133,plain,
op(e0,e3) != e4,
inference(resolve,[$cnf( $equal(op(e0,e3),op(e0,e4)) )],[refute_1_132,refute_1_130]) ).
cnf(refute_1_134,plain,
op(e0,e3) = e1,
inference(resolve,[$cnf( $equal(op(e0,e3),e4) )],[refute_1_129,refute_1_133]) ).
cnf(refute_1_135,plain,
( e1 != e1
| op(e0,e3) != e1
| e1 = op(e0,e3) ),
introduced(tautology,[equality,[$cnf( ~ $equal(e1,op(e0,e3)) ),[1],$fot(e1)]]) ).
cnf(refute_1_136,plain,
( e1 != e1
| e1 = op(e0,e3) ),
inference(resolve,[$cnf( $equal(op(e0,e3),e1) )],[refute_1_134,refute_1_135]) ).
cnf(refute_1_137,plain,
( e1 != e1
| op(e0,e2) = e0 ),
inference(resolve,[$cnf( $equal(e1,op(e0,e3)) )],[refute_1_136,refute_1_100]) ).
cnf(refute_1_138,plain,
e1 = e1,
introduced(tautology,[refl,[$fot(e1)]]) ).
cnf(refute_1_139,plain,
op(e0,e2) = e0,
inference(resolve,[$cnf( $equal(e1,e1) )],[refute_1_138,refute_1_137]) ).
cnf(refute_1_140,plain,
op(op(e2,e0),op(e0,e2)) = op(op(e2,e0),op(e0,e2)),
introduced(tautology,[refl,[$fot(op(op(e2,e0),op(e0,e2)))]]) ).
cnf(refute_1_141,plain,
( op(e0,e2) != e0
| op(op(e2,e0),op(e0,e2)) != op(op(e2,e0),op(e0,e2))
| op(op(e2,e0),op(e0,e2)) = op(op(e2,e0),e0) ),
introduced(tautology,[equality,[$cnf( $equal(op(op(e2,e0),op(e0,e2)),op(op(e2,e0),op(e0,e2))) ),[1,1],$fot(e0)]]) ).
cnf(refute_1_142,plain,
( op(e0,e2) != e0
| op(op(e2,e0),op(e0,e2)) = op(op(e2,e0),e0) ),
inference(resolve,[$cnf( $equal(op(op(e2,e0),op(e0,e2)),op(op(e2,e0),op(e0,e2))) )],[refute_1_140,refute_1_141]) ).
cnf(refute_1_143,plain,
op(op(e2,e0),op(e0,e2)) = op(op(e2,e0),e0),
inference(resolve,[$cnf( $equal(op(e0,e2),e0) )],[refute_1_139,refute_1_142]) ).
cnf(refute_1_144,plain,
( op(op(e2,e0),op(e0,e2)) != e0
| op(op(e2,e0),op(e0,e2)) != op(op(e2,e0),e0)
| op(op(e2,e0),e0) = e0 ),
introduced(tautology,[equality,[$cnf( $equal(op(op(e2,e0),op(e0,e2)),e0) ),[0],$fot(op(op(e2,e0),e0))]]) ).
cnf(refute_1_145,plain,
( op(op(e2,e0),op(e0,e2)) != e0
| op(op(e2,e0),e0) = e0 ),
inference(resolve,[$cnf( $equal(op(op(e2,e0),op(e0,e2)),op(op(e2,e0),e0)) )],[refute_1_143,refute_1_144]) ).
cnf(refute_1_146,plain,
op(op(e2,e0),e0) = e0,
inference(resolve,[$cnf( $equal(op(op(e2,e0),op(e0,e2)),e0) )],[refute_1_36,refute_1_145]) ).
cnf(refute_1_147,plain,
op(op(e3,e0),op(e0,e3)) = e0,
inference(canonicalize,[],[normalize_1_26]) ).
cnf(refute_1_148,plain,
op(op(e3,e0),op(e0,e3)) = op(op(e3,e0),op(e0,e3)),
introduced(tautology,[refl,[$fot(op(op(e3,e0),op(e0,e3)))]]) ).
cnf(refute_1_149,plain,
( op(e0,e3) != e1
| op(op(e3,e0),op(e0,e3)) != op(op(e3,e0),op(e0,e3))
| op(op(e3,e0),op(e0,e3)) = op(op(e3,e0),e1) ),
introduced(tautology,[equality,[$cnf( $equal(op(op(e3,e0),op(e0,e3)),op(op(e3,e0),op(e0,e3))) ),[1,1],$fot(e1)]]) ).
cnf(refute_1_150,plain,
( op(e0,e3) != e1
| op(op(e3,e0),op(e0,e3)) = op(op(e3,e0),e1) ),
inference(resolve,[$cnf( $equal(op(op(e3,e0),op(e0,e3)),op(op(e3,e0),op(e0,e3))) )],[refute_1_148,refute_1_149]) ).
cnf(refute_1_151,plain,
op(op(e3,e0),op(e0,e3)) = op(op(e3,e0),e1),
inference(resolve,[$cnf( $equal(op(e0,e3),e1) )],[refute_1_134,refute_1_150]) ).
cnf(refute_1_152,plain,
( op(op(e3,e0),op(e0,e3)) != e0
| op(op(e3,e0),op(e0,e3)) != op(op(e3,e0),e1)
| op(op(e3,e0),e1) = e0 ),
introduced(tautology,[equality,[$cnf( $equal(op(op(e3,e0),op(e0,e3)),e0) ),[0],$fot(op(op(e3,e0),e1))]]) ).
cnf(refute_1_153,plain,
( op(op(e3,e0),op(e0,e3)) != e0
| op(op(e3,e0),e1) = e0 ),
inference(resolve,[$cnf( $equal(op(op(e3,e0),op(e0,e3)),op(op(e3,e0),e1)) )],[refute_1_151,refute_1_152]) ).
cnf(refute_1_154,plain,
op(op(e3,e0),e1) = e0,
inference(resolve,[$cnf( $equal(op(op(e3,e0),op(e0,e3)),e0) )],[refute_1_147,refute_1_153]) ).
cnf(refute_1_155,plain,
( op(e0,e0) = e1
| op(e1,e0) = e1
| op(e2,e0) = e1
| op(e3,e0) = e1
| op(e4,e0) = e1 ),
inference(canonicalize,[],[normalize_1_28]) ).
cnf(refute_1_156,plain,
( op(e0,e0) != e1
| op(e0,e0) != e3
| e3 = e1 ),
introduced(tautology,[equality,[$cnf( $equal(op(e0,e0),e1) ),[0],$fot(e3)]]) ).
cnf(refute_1_157,plain,
( op(e0,e0) != e1
| e3 = e1 ),
inference(resolve,[$cnf( $equal(op(e0,e0),e3) )],[refute_1_63,refute_1_156]) ).
cnf(refute_1_158,plain,
( e3 = e1
| op(e1,e0) = e1
| op(e2,e0) = e1
| op(e3,e0) = e1
| op(e4,e0) = e1 ),
inference(resolve,[$cnf( $equal(op(e0,e0),e1) )],[refute_1_155,refute_1_157]) ).
cnf(refute_1_159,plain,
e1 != e3,
inference(canonicalize,[],[normalize_1_29]) ).
cnf(refute_1_160,plain,
( e3 != e1
| e1 = e3 ),
inference(subst,[],[refute_1_5:[bind(X,$fot(e3)),bind(Y,$fot(e1))]]) ).
cnf(refute_1_161,plain,
e3 != e1,
inference(resolve,[$cnf( $equal(e1,e3) )],[refute_1_160,refute_1_159]) ).
cnf(refute_1_162,plain,
( op(e1,e0) = e1
| op(e2,e0) = e1
| op(e3,e0) = e1
| op(e4,e0) = e1 ),
inference(resolve,[$cnf( $equal(e3,e1) )],[refute_1_158,refute_1_161]) ).
cnf(refute_1_163,plain,
op(e4,e0) != op(e4,e4),
inference(canonicalize,[],[normalize_1_30]) ).
cnf(refute_1_164,plain,
( op(e4,e0) != e1
| op(e4,e4) != e1
| op(e4,e0) = op(e4,e4) ),
introduced(tautology,[equality,[$cnf( ~ $equal(op(e4,e0),op(e4,e4)) ),[1],$fot(e1)]]) ).
cnf(refute_1_165,plain,
( op(e4,e0) != e1
| op(e4,e0) = op(e4,e4) ),
inference(resolve,[$cnf( $equal(op(e4,e4),e1) )],[refute_1_7,refute_1_164]) ).
cnf(refute_1_166,plain,
op(e4,e0) != e1,
inference(resolve,[$cnf( $equal(op(e4,e0),op(e4,e4)) )],[refute_1_165,refute_1_163]) ).
cnf(refute_1_167,plain,
( op(e1,e0) = e1
| op(e2,e0) = e1
| op(e3,e0) = e1 ),
inference(resolve,[$cnf( $equal(op(e4,e0),e1) )],[refute_1_162,refute_1_166]) ).
cnf(refute_1_168,plain,
( op(e3,e0) != e1
| op(op(e3,e0),e1) != e0
| op(e1,e1) = e0 ),
introduced(tautology,[equality,[$cnf( $equal(op(op(e3,e0),e1),e0) ),[0,0],$fot(e1)]]) ).
cnf(refute_1_169,plain,
( op(op(e3,e0),e1) != e0
| op(e1,e0) = e1
| op(e1,e1) = e0
| op(e2,e0) = e1 ),
inference(resolve,[$cnf( $equal(op(e3,e0),e1) )],[refute_1_167,refute_1_168]) ).
cnf(refute_1_170,plain,
( op(e1,e0) = e1
| op(e1,e1) = e0
| op(e2,e0) = e1 ),
inference(resolve,[$cnf( $equal(op(op(e3,e0),e1),e0) )],[refute_1_154,refute_1_169]) ).
cnf(refute_1_171,plain,
op(op(e4,e4),op(e4,e4)) = e4,
inference(canonicalize,[],[normalize_1_31]) ).
cnf(refute_1_172,plain,
op(e1,op(e4,e4)) = op(e1,op(e4,e4)),
introduced(tautology,[refl,[$fot(op(e1,op(e4,e4)))]]) ).
cnf(refute_1_173,plain,
( op(e1,op(e4,e4)) != op(e1,op(e4,e4))
| op(e4,e4) != e1
| op(e1,op(e4,e4)) = op(e1,e1) ),
introduced(tautology,[equality,[$cnf( $equal(op(e1,op(e4,e4)),op(e1,op(e4,e4))) ),[1,1],$fot(e1)]]) ).
cnf(refute_1_174,plain,
( op(e4,e4) != e1
| op(e1,op(e4,e4)) = op(e1,e1) ),
inference(resolve,[$cnf( $equal(op(e1,op(e4,e4)),op(e1,op(e4,e4))) )],[refute_1_172,refute_1_173]) ).
cnf(refute_1_175,plain,
op(e1,op(e4,e4)) = op(e1,e1),
inference(resolve,[$cnf( $equal(op(e4,e4),e1) )],[refute_1_7,refute_1_174]) ).
cnf(refute_1_176,plain,
op(op(e4,e4),op(e4,e4)) = op(op(e4,e4),op(e4,e4)),
introduced(tautology,[refl,[$fot(op(op(e4,e4),op(e4,e4)))]]) ).
cnf(refute_1_177,plain,
( op(e4,e4) != e1
| op(op(e4,e4),op(e4,e4)) != op(op(e4,e4),op(e4,e4))
| op(op(e4,e4),op(e4,e4)) = op(e1,op(e4,e4)) ),
introduced(tautology,[equality,[$cnf( $equal(op(op(e4,e4),op(e4,e4)),op(op(e4,e4),op(e4,e4))) ),[1,0],$fot(e1)]]) ).
cnf(refute_1_178,plain,
( op(e4,e4) != e1
| op(op(e4,e4),op(e4,e4)) = op(e1,op(e4,e4)) ),
inference(resolve,[$cnf( $equal(op(op(e4,e4),op(e4,e4)),op(op(e4,e4),op(e4,e4))) )],[refute_1_176,refute_1_177]) ).
cnf(refute_1_179,plain,
op(op(e4,e4),op(e4,e4)) = op(e1,op(e4,e4)),
inference(resolve,[$cnf( $equal(op(e4,e4),e1) )],[refute_1_7,refute_1_178]) ).
cnf(refute_1_180,plain,
( op(e1,op(e4,e4)) != op(e1,e1)
| op(op(e4,e4),op(e4,e4)) != op(e1,op(e4,e4))
| op(op(e4,e4),op(e4,e4)) = op(e1,e1) ),
inference(subst,[],[refute_1_20:[bind(X,$fot(op(op(e4,e4),op(e4,e4)))),bind(Y,$fot(op(e1,op(e4,e4)))),bind(Z,$fot(op(e1,e1)))]]) ).
cnf(refute_1_181,plain,
( op(e1,op(e4,e4)) != op(e1,e1)
| op(op(e4,e4),op(e4,e4)) = op(e1,e1) ),
inference(resolve,[$cnf( $equal(op(op(e4,e4),op(e4,e4)),op(e1,op(e4,e4))) )],[refute_1_179,refute_1_180]) ).
cnf(refute_1_182,plain,
op(op(e4,e4),op(e4,e4)) = op(e1,e1),
inference(resolve,[$cnf( $equal(op(e1,op(e4,e4)),op(e1,e1)) )],[refute_1_175,refute_1_181]) ).
cnf(refute_1_183,plain,
( op(op(e4,e4),op(e4,e4)) != e4
| op(op(e4,e4),op(e4,e4)) != op(e1,e1)
| op(e1,e1) = e4 ),
introduced(tautology,[equality,[$cnf( $equal(op(op(e4,e4),op(e4,e4)),e4) ),[0],$fot(op(e1,e1))]]) ).
cnf(refute_1_184,plain,
( op(op(e4,e4),op(e4,e4)) != e4
| op(e1,e1) = e4 ),
inference(resolve,[$cnf( $equal(op(op(e4,e4),op(e4,e4)),op(e1,e1)) )],[refute_1_182,refute_1_183]) ).
cnf(refute_1_185,plain,
op(e1,e1) = e4,
inference(resolve,[$cnf( $equal(op(op(e4,e4),op(e4,e4)),e4) )],[refute_1_171,refute_1_184]) ).
cnf(refute_1_186,plain,
( op(e1,e1) != e0
| op(e1,e1) != e4
| e4 = e0 ),
introduced(tautology,[equality,[$cnf( $equal(op(e1,e1),e0) ),[0],$fot(e4)]]) ).
cnf(refute_1_187,plain,
( op(e1,e1) != e0
| e4 = e0 ),
inference(resolve,[$cnf( $equal(op(e1,e1),e4) )],[refute_1_185,refute_1_186]) ).
cnf(refute_1_188,plain,
( e4 = e0
| op(e1,e0) = e1
| op(e2,e0) = e1 ),
inference(resolve,[$cnf( $equal(op(e1,e1),e0) )],[refute_1_170,refute_1_187]) ).
cnf(refute_1_189,plain,
e0 != e4,
inference(canonicalize,[],[normalize_1_32]) ).
cnf(refute_1_190,plain,
( e4 != e0
| e0 = e4 ),
inference(subst,[],[refute_1_5:[bind(X,$fot(e4)),bind(Y,$fot(e0))]]) ).
cnf(refute_1_191,plain,
e4 != e0,
inference(resolve,[$cnf( $equal(e0,e4) )],[refute_1_190,refute_1_189]) ).
cnf(refute_1_192,plain,
( op(e1,e0) = e1
| op(e2,e0) = e1 ),
inference(resolve,[$cnf( $equal(e4,e0) )],[refute_1_188,refute_1_191]) ).
cnf(refute_1_193,plain,
( op(e2,e0) != e1
| op(op(e2,e0),e0) != e0
| op(e1,e0) = e0 ),
introduced(tautology,[equality,[$cnf( $equal(op(op(e2,e0),e0),e0) ),[0,0],$fot(e1)]]) ).
cnf(refute_1_194,plain,
( op(op(e2,e0),e0) != e0
| op(e1,e0) = e0
| op(e1,e0) = e1 ),
inference(resolve,[$cnf( $equal(op(e2,e0),e1) )],[refute_1_192,refute_1_193]) ).
cnf(refute_1_195,plain,
( op(e1,e0) = e0
| op(e1,e0) = e1 ),
inference(resolve,[$cnf( $equal(op(op(e2,e0),e0),e0) )],[refute_1_146,refute_1_194]) ).
cnf(refute_1_196,plain,
op(e1,e0) != e0,
inference(canonicalize,[],[normalize_1_33]) ).
cnf(refute_1_197,plain,
op(e1,e0) = e1,
inference(resolve,[$cnf( $equal(op(e1,e0),e0) )],[refute_1_195,refute_1_196]) ).
cnf(refute_1_198,plain,
op(op(e1,e0),e2) = op(op(e1,e0),e2),
introduced(tautology,[refl,[$fot(op(op(e1,e0),e2))]]) ).
cnf(refute_1_199,plain,
( op(e1,e0) != e1
| op(op(e1,e0),e2) != op(op(e1,e0),e2)
| op(op(e1,e0),e2) = op(e1,e2) ),
introduced(tautology,[equality,[$cnf( $equal(op(op(e1,e0),e2),op(op(e1,e0),e2)) ),[1,0],$fot(e1)]]) ).
cnf(refute_1_200,plain,
( op(e1,e0) != e1
| op(op(e1,e0),e2) = op(e1,e2) ),
inference(resolve,[$cnf( $equal(op(op(e1,e0),e2),op(op(e1,e0),e2)) )],[refute_1_198,refute_1_199]) ).
cnf(refute_1_201,plain,
op(op(e1,e0),e2) = op(e1,e2),
inference(resolve,[$cnf( $equal(op(e1,e0),e1) )],[refute_1_197,refute_1_200]) ).
cnf(refute_1_202,plain,
( op(op(e1,e0),e2) != e0
| op(op(e1,e0),e2) != op(e1,e2)
| op(e1,e2) = e0 ),
introduced(tautology,[equality,[$cnf( $equal(op(op(e1,e0),e2),e0) ),[0],$fot(op(e1,e2))]]) ).
cnf(refute_1_203,plain,
( op(op(e1,e0),e2) != e0
| op(e1,e2) = e0 ),
inference(resolve,[$cnf( $equal(op(op(e1,e0),e2),op(e1,e2)) )],[refute_1_201,refute_1_202]) ).
cnf(refute_1_204,plain,
op(e1,e2) = e0,
inference(resolve,[$cnf( $equal(op(op(e1,e0),e2),e0) )],[refute_1_35,refute_1_203]) ).
cnf(refute_1_205,plain,
op(e0,e2) != op(e1,e2),
inference(canonicalize,[],[normalize_1_34]) ).
cnf(refute_1_206,plain,
( e0 != op(e1,e2)
| op(e0,e2) != e0
| op(e0,e2) = op(e1,e2) ),
introduced(tautology,[equality,[$cnf( $equal(op(e0,e2),e0) ),[1],$fot(op(e1,e2))]]) ).
cnf(refute_1_207,plain,
( e0 != op(e1,e2)
| op(e0,e2) = op(e1,e2) ),
inference(resolve,[$cnf( $equal(op(e0,e2),e0) )],[refute_1_139,refute_1_206]) ).
cnf(refute_1_208,plain,
e0 != op(e1,e2),
inference(resolve,[$cnf( $equal(op(e0,e2),op(e1,e2)) )],[refute_1_207,refute_1_205]) ).
cnf(refute_1_209,plain,
( op(e1,e2) != e0
| e0 = op(e1,e2) ),
inference(subst,[],[refute_1_5:[bind(X,$fot(op(e1,e2))),bind(Y,$fot(e0))]]) ).
cnf(refute_1_210,plain,
op(e1,e2) != e0,
inference(resolve,[$cnf( $equal(e0,op(e1,e2)) )],[refute_1_209,refute_1_208]) ).
cnf(refute_1_211,plain,
$false,
inference(resolve,[$cnf( $equal(op(e1,e2),e0) )],[refute_1_204,refute_1_210]) ).
fof(negate_2_0,plain,
~ ( ( ( ( op(e0,e0) != e0
& op(e1,e0) != e1
& op(e2,e0) != e2
& op(e3,e0) != e3
& op(e4,e0) != e4 )
| ( op(e0,e1) != e0
& op(e1,e1) != e1
& op(e2,e1) != e2
& op(e3,e1) != e3
& op(e4,e1) != e4 )
| ( op(e0,e2) != e0
& op(e1,e2) != e1
& op(e2,e2) != e2
& op(e3,e2) != e3
& op(e4,e2) != e4 )
| ( op(e0,e3) != e0
& op(e1,e3) != e1
& op(e2,e3) != e2
& op(e3,e3) != e3
& op(e4,e3) != e4 )
| ( op(e0,e4) != e0
& op(e1,e4) != e1
& op(e2,e4) != e2
& op(e3,e4) != e3
& op(e4,e4) != e4 ) )
& ~ ( op(e0,e0) != e0
& op(e0,e1) != e1
& op(e0,e2) != e2
& op(e0,e3) != e3
& op(e0,e4) != e4 )
& ~ ( op(e1,e0) != e0
& op(e1,e1) != e1
& op(e1,e2) != e2
& op(e1,e3) != e3
& op(e1,e4) != e4 )
& op(e2,e0) != e0
& op(e2,e1) != e1
& op(e2,e2) != e2
& op(e2,e3) != e3 )
=> op(e2,e4) = e4 ),
inference(negate,[],[subgoal_2]) ).
fof(normalize_2_0,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_2_1,plain,
( op(e0,e2) = e2
| op(e1,e2) = e2
| op(e2,e2) = e2
| op(e3,e2) = e2
| op(e4,e2) = e2 ),
inference(conjunct,[],[normalize_2_0]) ).
fof(normalize_2_2,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_2_3,plain,
op(e0,e1) != op(e0,e2),
inference(conjunct,[],[normalize_2_2]) ).
fof(normalize_2_4,plain,
( e0 = op(e4,op(e4,e4))
& e1 = op(e4,e4)
& e2 = op(op(e4,op(e4,e4)),op(e4,e4))
& e3 = op(op(e4,op(e4,e4)),op(e4,op(e4,e4))) ),
inference(canonicalize,[],[ax6]) ).
fof(normalize_2_5,plain,
e2 = op(op(e4,op(e4,e4)),op(e4,e4)),
inference(conjunct,[],[normalize_2_4]) ).
fof(normalize_2_6,plain,
e1 = op(e4,e4),
inference(conjunct,[],[normalize_2_4]) ).
fof(normalize_2_7,plain,
e0 = op(e4,op(e4,e4)),
inference(conjunct,[],[normalize_2_4]) ).
fof(normalize_2_8,plain,
( op(e0,e2) = e1
| op(e1,e2) = e1
| op(e2,e2) = e1
| op(e3,e2) = e1
| op(e4,e2) = e1 ),
inference(conjunct,[],[normalize_2_0]) ).
fof(normalize_2_9,plain,
op(e4,e2) != op(e4,e4),
inference(conjunct,[],[normalize_2_2]) ).
fof(normalize_2_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_2_11,plain,
( op(e0,e2) = e0
| op(e0,e2) = e1
| op(e0,e2) = e2
| op(e0,e2) = e3
| op(e0,e2) = e4 ),
inference(conjunct,[],[normalize_2_10]) ).
fof(normalize_2_12,plain,
op(e0,e0) != op(e0,e2),
inference(conjunct,[],[normalize_2_2]) ).
fof(normalize_2_13,plain,
e3 = op(op(e4,op(e4,e4)),op(e4,op(e4,e4))),
inference(conjunct,[],[normalize_2_4]) ).
fof(normalize_2_14,plain,
op(e0,e2) != op(e0,e3),
inference(conjunct,[],[normalize_2_2]) ).
fof(normalize_2_15,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_2_16,plain,
op(op(e4,e1),op(e1,e4)) = e1,
inference(conjunct,[],[normalize_2_15]) ).
fof(normalize_2_17,plain,
op(op(e3,e4),op(e4,e3)) = e4,
inference(conjunct,[],[normalize_2_15]) ).
fof(normalize_2_18,plain,
( op(e0,e4) = e3
| op(e1,e4) = e3
| op(e2,e4) = e3
| op(e3,e4) = e3
| op(e4,e4) = e3 ),
inference(conjunct,[],[normalize_2_0]) ).
fof(normalize_2_19,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_2_20,plain,
e1 != e3,
inference(conjunct,[],[normalize_2_19]) ).
fof(normalize_2_21,plain,
op(e0,e0) != op(e0,e4),
inference(conjunct,[],[normalize_2_2]) ).
fof(normalize_2_22,plain,
op(op(e4,e0),op(e0,e4)) = e0,
inference(conjunct,[],[normalize_2_15]) ).
fof(normalize_2_23,plain,
( op(e2,e0) != e0
& op(e2,e1) != e1
& op(e2,e2) != e2
& op(e2,e3) != e3
& op(e2,e4) != e4
& ( op(e0,e0) = e0
| op(e0,e1) = e1
| op(e0,e2) = e2
| op(e0,e3) = e3
| op(e0,e4) = e4 )
& ( op(e1,e0) = e0
| op(e1,e1) = e1
| op(e1,e2) = e2
| op(e1,e3) = e3
| op(e1,e4) = e4 )
& ( ( op(e0,e0) != e0
& op(e1,e0) != e1
& op(e2,e0) != e2
& op(e3,e0) != e3
& op(e4,e0) != e4 )
| ( op(e0,e1) != e0
& op(e1,e1) != e1
& op(e2,e1) != e2
& op(e3,e1) != e3
& op(e4,e1) != e4 )
| ( op(e0,e2) != e0
& op(e1,e2) != e1
& op(e2,e2) != e2
& op(e3,e2) != e3
& op(e4,e2) != e4 )
| ( op(e0,e3) != e0
& op(e1,e3) != e1
& op(e2,e3) != e2
& op(e3,e3) != e3
& op(e4,e3) != e4 )
| ( op(e0,e4) != e0
& op(e1,e4) != e1
& op(e2,e4) != e2
& op(e3,e4) != e3
& op(e4,e4) != e4 ) ) ),
inference(canonicalize,[],[negate_2_0]) ).
fof(normalize_2_24,plain,
( op(e0,e0) = e0
| op(e0,e1) = e1
| op(e0,e2) = e2
| op(e0,e3) = e3
| op(e0,e4) = e4 ),
inference(conjunct,[],[normalize_2_23]) ).
fof(normalize_2_25,plain,
e1 != e2,
inference(conjunct,[],[normalize_2_19]) ).
fof(normalize_2_26,plain,
e0 != e3,
inference(conjunct,[],[normalize_2_19]) ).
fof(normalize_2_27,plain,
op(e0,e0) != op(e0,e3),
inference(conjunct,[],[normalize_2_2]) ).
fof(normalize_2_28,plain,
( op(e4,e0) = e0
| op(e4,e0) = e1
| op(e4,e0) = e2
| op(e4,e0) = e3
| op(e4,e0) = e4 ),
inference(conjunct,[],[normalize_2_10]) ).
fof(normalize_2_29,plain,
op(e4,e0) != op(e4,e4),
inference(conjunct,[],[normalize_2_2]) ).
fof(normalize_2_30,plain,
op(e0,e0) != op(e4,e0),
inference(conjunct,[],[normalize_2_2]) ).
fof(normalize_2_31,plain,
op(e4,e0) != op(e4,e1),
inference(conjunct,[],[normalize_2_2]) ).
fof(normalize_2_32,plain,
e0 != e1,
inference(conjunct,[],[normalize_2_19]) ).
fof(normalize_2_33,plain,
op(op(e0,e0),op(e0,e0)) = e0,
inference(conjunct,[],[normalize_2_15]) ).
fof(normalize_2_34,plain,
( op(e4,e0) = e3
| op(e4,e1) = e3
| op(e4,e2) = e3
| op(e4,e3) = e3
| op(e4,e4) = e3 ),
inference(conjunct,[],[normalize_2_0]) ).
fof(normalize_2_35,plain,
op(op(e0,e4),op(e4,e0)) = e4,
inference(conjunct,[],[normalize_2_15]) ).
fof(normalize_2_36,plain,
e3 != e4,
inference(conjunct,[],[normalize_2_19]) ).
fof(normalize_2_37,plain,
e0 != e4,
inference(conjunct,[],[normalize_2_19]) ).
fof(normalize_2_38,plain,
op(e0,e2) != op(e0,e4),
inference(conjunct,[],[normalize_2_2]) ).
fof(normalize_2_39,plain,
op(op(e4,e3),op(e3,e4)) = e3,
inference(conjunct,[],[normalize_2_15]) ).
fof(normalize_2_40,plain,
( op(e3,e4) = e0
| op(e3,e4) = e1
| op(e3,e4) = e2
| op(e3,e4) = e3
| op(e3,e4) = e4 ),
inference(conjunct,[],[normalize_2_10]) ).
fof(normalize_2_41,plain,
op(e3,e4) != op(e4,e4),
inference(conjunct,[],[normalize_2_2]) ).
fof(normalize_2_42,plain,
op(e3,e3) != op(e3,e4),
inference(conjunct,[],[normalize_2_2]) ).
fof(normalize_2_43,plain,
op(e1,e4) != op(e3,e4),
inference(conjunct,[],[normalize_2_2]) ).
fof(normalize_2_44,plain,
op(e0,e4) != op(e3,e4),
inference(conjunct,[],[normalize_2_2]) ).
fof(normalize_2_45,plain,
op(e2,e0) != op(e2,e2),
inference(conjunct,[],[normalize_2_2]) ).
fof(normalize_2_46,plain,
op(op(e0,e1),op(e1,e0)) = e1,
inference(conjunct,[],[normalize_2_15]) ).
fof(normalize_2_47,plain,
op(op(e2,e0),op(e0,e2)) = e0,
inference(conjunct,[],[normalize_2_15]) ).
fof(normalize_2_48,plain,
( op(e0,e0) = e1
| op(e1,e0) = e1
| op(e2,e0) = e1
| op(e3,e0) = e1
| op(e4,e0) = e1 ),
inference(conjunct,[],[normalize_2_0]) ).
fof(normalize_2_49,plain,
op(op(e1,e4),op(e4,e1)) = e4,
inference(conjunct,[],[normalize_2_15]) ).
fof(normalize_2_50,plain,
op(e0,e4) != op(e4,e4),
inference(conjunct,[],[normalize_2_2]) ).
fof(normalize_2_51,plain,
( op(e2,e1) = e0
| op(e2,e1) = e1
| op(e2,e1) = e2
| op(e2,e1) = e3
| op(e2,e1) = e4 ),
inference(conjunct,[],[normalize_2_10]) ).
fof(normalize_2_52,plain,
op(e0,e1) != op(e2,e1),
inference(conjunct,[],[normalize_2_2]) ).
fof(normalize_2_53,plain,
op(e2,e1) != op(e4,e1),
inference(conjunct,[],[normalize_2_2]) ).
fof(normalize_2_54,plain,
op(e2,e1) != e1,
inference(conjunct,[],[normalize_2_23]) ).
fof(normalize_2_55,plain,
op(e1,e1) != op(e2,e1),
inference(conjunct,[],[normalize_2_2]) ).
fof(normalize_2_56,plain,
op(op(e4,e4),op(e4,e4)) = e4,
inference(conjunct,[],[normalize_2_15]) ).
fof(normalize_2_57,plain,
op(e0,e0) != op(e0,e1),
inference(conjunct,[],[normalize_2_2]) ).
fof(normalize_2_58,plain,
e2 != e4,
inference(conjunct,[],[normalize_2_19]) ).
fof(normalize_2_59,plain,
op(e2,e2) != e2,
inference(conjunct,[],[normalize_2_23]) ).
cnf(refute_2_0,plain,
( op(e0,e2) = e2
| op(e1,e2) = e2
| op(e2,e2) = e2
| op(e3,e2) = e2
| op(e4,e2) = e2 ),
inference(canonicalize,[],[normalize_2_1]) ).
cnf(refute_2_1,plain,
op(e0,e1) != op(e0,e2),
inference(canonicalize,[],[normalize_2_3]) ).
cnf(refute_2_2,plain,
e2 = op(op(e4,op(e4,e4)),op(e4,e4)),
inference(canonicalize,[],[normalize_2_5]) ).
cnf(refute_2_3,plain,
e1 = op(e4,e4),
inference(canonicalize,[],[normalize_2_6]) ).
cnf(refute_2_4,plain,
X = X,
introduced(tautology,[refl,[$fot(X)]]) ).
cnf(refute_2_5,plain,
( X != X
| X != Y
| Y = X ),
introduced(tautology,[equality,[$cnf( $equal(X,X) ),[0],$fot(Y)]]) ).
cnf(refute_2_6,plain,
( X != Y
| Y = X ),
inference(resolve,[$cnf( $equal(X,X) )],[refute_2_4,refute_2_5]) ).
cnf(refute_2_7,plain,
( e1 != op(e4,e4)
| op(e4,e4) = e1 ),
inference(subst,[],[refute_2_6:[bind(X,$fot(e1)),bind(Y,$fot(op(e4,e4)))]]) ).
cnf(refute_2_8,plain,
op(e4,e4) = e1,
inference(resolve,[$cnf( $equal(e1,op(e4,e4)) )],[refute_2_3,refute_2_7]) ).
cnf(refute_2_9,plain,
op(e0,op(e4,e4)) = op(e0,op(e4,e4)),
introduced(tautology,[refl,[$fot(op(e0,op(e4,e4)))]]) ).
cnf(refute_2_10,plain,
( op(e0,op(e4,e4)) != op(e0,op(e4,e4))
| op(e4,e4) != e1
| op(e0,op(e4,e4)) = op(e0,e1) ),
introduced(tautology,[equality,[$cnf( $equal(op(e0,op(e4,e4)),op(e0,op(e4,e4))) ),[1,1],$fot(e1)]]) ).
cnf(refute_2_11,plain,
( op(e4,e4) != e1
| op(e0,op(e4,e4)) = op(e0,e1) ),
inference(resolve,[$cnf( $equal(op(e0,op(e4,e4)),op(e0,op(e4,e4))) )],[refute_2_9,refute_2_10]) ).
cnf(refute_2_12,plain,
op(e0,op(e4,e4)) = op(e0,e1),
inference(resolve,[$cnf( $equal(op(e4,e4),e1) )],[refute_2_8,refute_2_11]) ).
cnf(refute_2_13,plain,
e0 = op(e4,op(e4,e4)),
inference(canonicalize,[],[normalize_2_7]) ).
cnf(refute_2_14,plain,
( e0 != op(e4,op(e4,e4))
| op(e4,op(e4,e4)) = e0 ),
inference(subst,[],[refute_2_6:[bind(X,$fot(e0)),bind(Y,$fot(op(e4,op(e4,e4))))]]) ).
cnf(refute_2_15,plain,
op(e4,op(e4,e4)) = e0,
inference(resolve,[$cnf( $equal(e0,op(e4,op(e4,e4))) )],[refute_2_13,refute_2_14]) ).
cnf(refute_2_16,plain,
op(op(e4,op(e4,e4)),op(e4,e4)) = op(op(e4,op(e4,e4)),op(e4,e4)),
introduced(tautology,[refl,[$fot(op(op(e4,op(e4,e4)),op(e4,e4)))]]) ).
cnf(refute_2_17,plain,
( op(e4,op(e4,e4)) != e0
| op(op(e4,op(e4,e4)),op(e4,e4)) != op(op(e4,op(e4,e4)),op(e4,e4))
| op(op(e4,op(e4,e4)),op(e4,e4)) = op(e0,op(e4,e4)) ),
introduced(tautology,[equality,[$cnf( $equal(op(op(e4,op(e4,e4)),op(e4,e4)),op(op(e4,op(e4,e4)),op(e4,e4))) ),[1,0],$fot(e0)]]) ).
cnf(refute_2_18,plain,
( op(e4,op(e4,e4)) != e0
| op(op(e4,op(e4,e4)),op(e4,e4)) = op(e0,op(e4,e4)) ),
inference(resolve,[$cnf( $equal(op(op(e4,op(e4,e4)),op(e4,e4)),op(op(e4,op(e4,e4)),op(e4,e4))) )],[refute_2_16,refute_2_17]) ).
cnf(refute_2_19,plain,
op(op(e4,op(e4,e4)),op(e4,e4)) = op(e0,op(e4,e4)),
inference(resolve,[$cnf( $equal(op(e4,op(e4,e4)),e0) )],[refute_2_15,refute_2_18]) ).
cnf(refute_2_20,plain,
( Y != X
| Y != Z
| X = Z ),
introduced(tautology,[equality,[$cnf( $equal(Y,Z) ),[0],$fot(X)]]) ).
cnf(refute_2_21,plain,
( X != Y
| Y != Z
| X = Z ),
inference(resolve,[$cnf( $equal(Y,X) )],[refute_2_6,refute_2_20]) ).
cnf(refute_2_22,plain,
( op(e0,op(e4,e4)) != op(e0,e1)
| op(op(e4,op(e4,e4)),op(e4,e4)) != op(e0,op(e4,e4))
| op(op(e4,op(e4,e4)),op(e4,e4)) = op(e0,e1) ),
inference(subst,[],[refute_2_21:[bind(X,$fot(op(op(e4,op(e4,e4)),op(e4,e4)))),bind(Y,$fot(op(e0,op(e4,e4)))),bind(Z,$fot(op(e0,e1)))]]) ).
cnf(refute_2_23,plain,
( op(e0,op(e4,e4)) != op(e0,e1)
| op(op(e4,op(e4,e4)),op(e4,e4)) = op(e0,e1) ),
inference(resolve,[$cnf( $equal(op(op(e4,op(e4,e4)),op(e4,e4)),op(e0,op(e4,e4))) )],[refute_2_19,refute_2_22]) ).
cnf(refute_2_24,plain,
op(op(e4,op(e4,e4)),op(e4,e4)) = op(e0,e1),
inference(resolve,[$cnf( $equal(op(e0,op(e4,e4)),op(e0,e1)) )],[refute_2_12,refute_2_23]) ).
cnf(refute_2_25,plain,
( e2 != op(op(e4,op(e4,e4)),op(e4,e4))
| op(op(e4,op(e4,e4)),op(e4,e4)) != op(e0,e1)
| e2 = op(e0,e1) ),
introduced(tautology,[equality,[$cnf( ~ $equal(e2,op(e0,e1)) ),[0],$fot(op(op(e4,op(e4,e4)),op(e4,e4)))]]) ).
cnf(refute_2_26,plain,
( e2 != op(op(e4,op(e4,e4)),op(e4,e4))
| e2 = op(e0,e1) ),
inference(resolve,[$cnf( $equal(op(op(e4,op(e4,e4)),op(e4,e4)),op(e0,e1)) )],[refute_2_24,refute_2_25]) ).
cnf(refute_2_27,plain,
e2 = op(e0,e1),
inference(resolve,[$cnf( $equal(e2,op(op(e4,op(e4,e4)),op(e4,e4))) )],[refute_2_2,refute_2_26]) ).
cnf(refute_2_28,plain,
( e2 != op(e0,e1)
| op(e0,e1) = e2 ),
inference(subst,[],[refute_2_6:[bind(X,$fot(e2)),bind(Y,$fot(op(e0,e1)))]]) ).
cnf(refute_2_29,plain,
op(e0,e1) = e2,
inference(resolve,[$cnf( $equal(e2,op(e0,e1)) )],[refute_2_27,refute_2_28]) ).
cnf(refute_2_30,plain,
( e2 != op(e0,e2)
| op(e0,e1) != e2
| op(e0,e1) = op(e0,e2) ),
introduced(tautology,[equality,[$cnf( $equal(op(e0,e1),e2) ),[1],$fot(op(e0,e2))]]) ).
cnf(refute_2_31,plain,
( e2 != op(e0,e2)
| op(e0,e1) = op(e0,e2) ),
inference(resolve,[$cnf( $equal(op(e0,e1),e2) )],[refute_2_29,refute_2_30]) ).
cnf(refute_2_32,plain,
e2 != op(e0,e2),
inference(resolve,[$cnf( $equal(op(e0,e1),op(e0,e2)) )],[refute_2_31,refute_2_1]) ).
cnf(refute_2_33,plain,
( op(e0,e2) != e2
| e2 = op(e0,e2) ),
inference(subst,[],[refute_2_6:[bind(X,$fot(op(e0,e2))),bind(Y,$fot(e2))]]) ).
cnf(refute_2_34,plain,
op(e0,e2) != e2,
inference(resolve,[$cnf( $equal(e2,op(e0,e2)) )],[refute_2_33,refute_2_32]) ).
cnf(refute_2_35,plain,
( op(e1,e2) = e2
| op(e2,e2) = e2
| op(e3,e2) = e2
| op(e4,e2) = e2 ),
inference(resolve,[$cnf( $equal(op(e0,e2),e2) )],[refute_2_0,refute_2_34]) ).
cnf(refute_2_36,plain,
( op(e0,e2) = e1
| op(e1,e2) = e1
| op(e2,e2) = e1
| op(e3,e2) = e1
| op(e4,e2) = e1 ),
inference(canonicalize,[],[normalize_2_8]) ).
cnf(refute_2_37,plain,
op(e4,e2) != op(e4,e4),
inference(canonicalize,[],[normalize_2_9]) ).
cnf(refute_2_38,plain,
( op(e4,e2) != e1
| op(e4,e4) != e1
| op(e4,e2) = op(e4,e4) ),
introduced(tautology,[equality,[$cnf( ~ $equal(op(e4,e2),op(e4,e4)) ),[1],$fot(e1)]]) ).
cnf(refute_2_39,plain,
( op(e4,e2) != e1
| op(e4,e2) = op(e4,e4) ),
inference(resolve,[$cnf( $equal(op(e4,e4),e1) )],[refute_2_8,refute_2_38]) ).
cnf(refute_2_40,plain,
op(e4,e2) != e1,
inference(resolve,[$cnf( $equal(op(e4,e2),op(e4,e4)) )],[refute_2_39,refute_2_37]) ).
cnf(refute_2_41,plain,
( op(e0,e2) = e1
| op(e1,e2) = e1
| op(e2,e2) = e1
| op(e3,e2) = e1 ),
inference(resolve,[$cnf( $equal(op(e4,e2),e1) )],[refute_2_36,refute_2_40]) ).
cnf(refute_2_42,plain,
( op(e0,e2) = e0
| op(e0,e2) = e1
| op(e0,e2) = e2
| op(e0,e2) = e3
| op(e0,e2) = e4 ),
inference(canonicalize,[],[normalize_2_11]) ).
cnf(refute_2_43,plain,
( op(e0,e2) = e0
| op(e0,e2) = e1
| op(e0,e2) = e3
| op(e0,e2) = e4 ),
inference(resolve,[$cnf( $equal(op(e0,e2),e2) )],[refute_2_42,refute_2_34]) ).
cnf(refute_2_44,plain,
op(e0,e0) != op(e0,e2),
inference(canonicalize,[],[normalize_2_12]) ).
cnf(refute_2_45,plain,
e3 = op(op(e4,op(e4,e4)),op(e4,op(e4,e4))),
inference(canonicalize,[],[normalize_2_13]) ).
cnf(refute_2_46,plain,
op(e0,op(e4,op(e4,e4))) = op(e0,op(e4,op(e4,e4))),
introduced(tautology,[refl,[$fot(op(e0,op(e4,op(e4,e4))))]]) ).
cnf(refute_2_47,plain,
( op(e0,op(e4,op(e4,e4))) != op(e0,op(e4,op(e4,e4)))
| op(e4,op(e4,e4)) != e0
| op(e0,op(e4,op(e4,e4))) = op(e0,e0) ),
introduced(tautology,[equality,[$cnf( $equal(op(e0,op(e4,op(e4,e4))),op(e0,op(e4,op(e4,e4)))) ),[1,1],$fot(e0)]]) ).
cnf(refute_2_48,plain,
( op(e4,op(e4,e4)) != e0
| op(e0,op(e4,op(e4,e4))) = op(e0,e0) ),
inference(resolve,[$cnf( $equal(op(e0,op(e4,op(e4,e4))),op(e0,op(e4,op(e4,e4)))) )],[refute_2_46,refute_2_47]) ).
cnf(refute_2_49,plain,
op(e0,op(e4,op(e4,e4))) = op(e0,e0),
inference(resolve,[$cnf( $equal(op(e4,op(e4,e4)),e0) )],[refute_2_15,refute_2_48]) ).
cnf(refute_2_50,plain,
op(op(e4,op(e4,e4)),op(e4,op(e4,e4))) = op(op(e4,op(e4,e4)),op(e4,op(e4,e4))),
introduced(tautology,[refl,[$fot(op(op(e4,op(e4,e4)),op(e4,op(e4,e4))))]]) ).
cnf(refute_2_51,plain,
( op(e4,op(e4,e4)) != e0
| op(op(e4,op(e4,e4)),op(e4,op(e4,e4))) != op(op(e4,op(e4,e4)),op(e4,op(e4,e4)))
| op(op(e4,op(e4,e4)),op(e4,op(e4,e4))) = op(e0,op(e4,op(e4,e4))) ),
introduced(tautology,[equality,[$cnf( $equal(op(op(e4,op(e4,e4)),op(e4,op(e4,e4))),op(op(e4,op(e4,e4)),op(e4,op(e4,e4)))) ),[1,0],$fot(e0)]]) ).
cnf(refute_2_52,plain,
( op(e4,op(e4,e4)) != e0
| op(op(e4,op(e4,e4)),op(e4,op(e4,e4))) = op(e0,op(e4,op(e4,e4))) ),
inference(resolve,[$cnf( $equal(op(op(e4,op(e4,e4)),op(e4,op(e4,e4))),op(op(e4,op(e4,e4)),op(e4,op(e4,e4)))) )],[refute_2_50,refute_2_51]) ).
cnf(refute_2_53,plain,
op(op(e4,op(e4,e4)),op(e4,op(e4,e4))) = op(e0,op(e4,op(e4,e4))),
inference(resolve,[$cnf( $equal(op(e4,op(e4,e4)),e0) )],[refute_2_15,refute_2_52]) ).
cnf(refute_2_54,plain,
( op(e0,op(e4,op(e4,e4))) != op(e0,e0)
| op(op(e4,op(e4,e4)),op(e4,op(e4,e4))) != op(e0,op(e4,op(e4,e4)))
| op(op(e4,op(e4,e4)),op(e4,op(e4,e4))) = op(e0,e0) ),
inference(subst,[],[refute_2_21:[bind(X,$fot(op(op(e4,op(e4,e4)),op(e4,op(e4,e4))))),bind(Y,$fot(op(e0,op(e4,op(e4,e4))))),bind(Z,$fot(op(e0,e0)))]]) ).
cnf(refute_2_55,plain,
( op(e0,op(e4,op(e4,e4))) != op(e0,e0)
| op(op(e4,op(e4,e4)),op(e4,op(e4,e4))) = op(e0,e0) ),
inference(resolve,[$cnf( $equal(op(op(e4,op(e4,e4)),op(e4,op(e4,e4))),op(e0,op(e4,op(e4,e4)))) )],[refute_2_53,refute_2_54]) ).
cnf(refute_2_56,plain,
op(op(e4,op(e4,e4)),op(e4,op(e4,e4))) = op(e0,e0),
inference(resolve,[$cnf( $equal(op(e0,op(e4,op(e4,e4))),op(e0,e0)) )],[refute_2_49,refute_2_55]) ).
cnf(refute_2_57,plain,
( e3 != op(op(e4,op(e4,e4)),op(e4,op(e4,e4)))
| op(op(e4,op(e4,e4)),op(e4,op(e4,e4))) != op(e0,e0)
| e3 = op(e0,e0) ),
introduced(tautology,[equality,[$cnf( ~ $equal(e3,op(e0,e0)) ),[0],$fot(op(op(e4,op(e4,e4)),op(e4,op(e4,e4))))]]) ).
cnf(refute_2_58,plain,
( e3 != op(op(e4,op(e4,e4)),op(e4,op(e4,e4)))
| e3 = op(e0,e0) ),
inference(resolve,[$cnf( $equal(op(op(e4,op(e4,e4)),op(e4,op(e4,e4))),op(e0,e0)) )],[refute_2_56,refute_2_57]) ).
cnf(refute_2_59,plain,
e3 = op(e0,e0),
inference(resolve,[$cnf( $equal(e3,op(op(e4,op(e4,e4)),op(e4,op(e4,e4)))) )],[refute_2_45,refute_2_58]) ).
cnf(refute_2_60,plain,
( e3 != op(e0,e0)
| op(e0,e0) = e3 ),
inference(subst,[],[refute_2_6:[bind(X,$fot(e3)),bind(Y,$fot(op(e0,e0)))]]) ).
cnf(refute_2_61,plain,
op(e0,e0) = e3,
inference(resolve,[$cnf( $equal(e3,op(e0,e0)) )],[refute_2_59,refute_2_60]) ).
cnf(refute_2_62,plain,
( e3 != op(e0,e2)
| op(e0,e0) != e3
| op(e0,e0) = op(e0,e2) ),
introduced(tautology,[equality,[$cnf( $equal(op(e0,e0),e3) ),[1],$fot(op(e0,e2))]]) ).
cnf(refute_2_63,plain,
( e3 != op(e0,e2)
| op(e0,e0) = op(e0,e2) ),
inference(resolve,[$cnf( $equal(op(e0,e0),e3) )],[refute_2_61,refute_2_62]) ).
cnf(refute_2_64,plain,
e3 != op(e0,e2),
inference(resolve,[$cnf( $equal(op(e0,e0),op(e0,e2)) )],[refute_2_63,refute_2_44]) ).
cnf(refute_2_65,plain,
( op(e0,e2) != e3
| e3 = op(e0,e2) ),
inference(subst,[],[refute_2_6:[bind(X,$fot(op(e0,e2))),bind(Y,$fot(e3))]]) ).
cnf(refute_2_66,plain,
op(e0,e2) != e3,
inference(resolve,[$cnf( $equal(e3,op(e0,e2)) )],[refute_2_65,refute_2_64]) ).
cnf(refute_2_67,plain,
( op(e0,e2) = e0
| op(e0,e2) = e1
| op(e0,e2) = e4 ),
inference(resolve,[$cnf( $equal(op(e0,e2),e3) )],[refute_2_43,refute_2_66]) ).
cnf(refute_2_68,plain,
op(e0,e2) != op(e0,e3),
inference(canonicalize,[],[normalize_2_14]) ).
cnf(refute_2_69,plain,
op(op(e4,e1),op(e1,e4)) = e1,
inference(canonicalize,[],[normalize_2_16]) ).
cnf(refute_2_70,plain,
op(e4,op(e4,e4)) = op(e4,op(e4,e4)),
introduced(tautology,[refl,[$fot(op(e4,op(e4,e4)))]]) ).
cnf(refute_2_71,plain,
( op(e4,e4) != e1
| op(e4,op(e4,e4)) != op(e4,op(e4,e4))
| op(e4,op(e4,e4)) = op(e4,e1) ),
introduced(tautology,[equality,[$cnf( $equal(op(e4,op(e4,e4)),op(e4,op(e4,e4))) ),[1,1],$fot(e1)]]) ).
cnf(refute_2_72,plain,
( op(e4,e4) != e1
| op(e4,op(e4,e4)) = op(e4,e1) ),
inference(resolve,[$cnf( $equal(op(e4,op(e4,e4)),op(e4,op(e4,e4))) )],[refute_2_70,refute_2_71]) ).
cnf(refute_2_73,plain,
op(e4,op(e4,e4)) = op(e4,e1),
inference(resolve,[$cnf( $equal(op(e4,e4),e1) )],[refute_2_8,refute_2_72]) ).
cnf(refute_2_74,plain,
( e0 != op(e4,op(e4,e4))
| op(e4,op(e4,e4)) != op(e4,e1)
| e0 = op(e4,e1) ),
introduced(tautology,[equality,[$cnf( ~ $equal(e0,op(e4,e1)) ),[0],$fot(op(e4,op(e4,e4)))]]) ).
cnf(refute_2_75,plain,
( e0 != op(e4,op(e4,e4))
| e0 = op(e4,e1) ),
inference(resolve,[$cnf( $equal(op(e4,op(e4,e4)),op(e4,e1)) )],[refute_2_73,refute_2_74]) ).
cnf(refute_2_76,plain,
e0 = op(e4,e1),
inference(resolve,[$cnf( $equal(e0,op(e4,op(e4,e4))) )],[refute_2_13,refute_2_75]) ).
cnf(refute_2_77,plain,
( e0 != op(e4,e1)
| op(e4,e1) = e0 ),
inference(subst,[],[refute_2_6:[bind(X,$fot(e0)),bind(Y,$fot(op(e4,e1)))]]) ).
cnf(refute_2_78,plain,
op(e4,e1) = e0,
inference(resolve,[$cnf( $equal(e0,op(e4,e1)) )],[refute_2_76,refute_2_77]) ).
cnf(refute_2_79,plain,
op(op(e4,e1),op(e1,e4)) = op(op(e4,e1),op(e1,e4)),
introduced(tautology,[refl,[$fot(op(op(e4,e1),op(e1,e4)))]]) ).
cnf(refute_2_80,plain,
( op(e4,e1) != e0
| op(op(e4,e1),op(e1,e4)) != op(op(e4,e1),op(e1,e4))
| op(op(e4,e1),op(e1,e4)) = op(e0,op(e1,e4)) ),
introduced(tautology,[equality,[$cnf( $equal(op(op(e4,e1),op(e1,e4)),op(op(e4,e1),op(e1,e4))) ),[1,0],$fot(e0)]]) ).
cnf(refute_2_81,plain,
( op(e4,e1) != e0
| op(op(e4,e1),op(e1,e4)) = op(e0,op(e1,e4)) ),
inference(resolve,[$cnf( $equal(op(op(e4,e1),op(e1,e4)),op(op(e4,e1),op(e1,e4))) )],[refute_2_79,refute_2_80]) ).
cnf(refute_2_82,plain,
op(op(e4,e1),op(e1,e4)) = op(e0,op(e1,e4)),
inference(resolve,[$cnf( $equal(op(e4,e1),e0) )],[refute_2_78,refute_2_81]) ).
cnf(refute_2_83,plain,
( op(op(e4,e1),op(e1,e4)) != e1
| op(op(e4,e1),op(e1,e4)) != op(e0,op(e1,e4))
| op(e0,op(e1,e4)) = e1 ),
introduced(tautology,[equality,[$cnf( $equal(op(op(e4,e1),op(e1,e4)),e1) ),[0],$fot(op(e0,op(e1,e4)))]]) ).
cnf(refute_2_84,plain,
( op(op(e4,e1),op(e1,e4)) != e1
| op(e0,op(e1,e4)) = e1 ),
inference(resolve,[$cnf( $equal(op(op(e4,e1),op(e1,e4)),op(e0,op(e1,e4))) )],[refute_2_82,refute_2_83]) ).
cnf(refute_2_85,plain,
op(e0,op(e1,e4)) = e1,
inference(resolve,[$cnf( $equal(op(op(e4,e1),op(e1,e4)),e1) )],[refute_2_69,refute_2_84]) ).
cnf(refute_2_86,plain,
op(op(e3,e4),op(e4,e3)) = e4,
inference(canonicalize,[],[normalize_2_17]) ).
cnf(refute_2_87,plain,
( op(e0,e4) = e3
| op(e1,e4) = e3
| op(e2,e4) = e3
| op(e3,e4) = e3
| op(e4,e4) = e3 ),
inference(canonicalize,[],[normalize_2_18]) ).
cnf(refute_2_88,plain,
( op(e4,e4) != e1
| op(e4,e4) != e3
| e1 = e3 ),
introduced(tautology,[equality,[$cnf( $equal(op(e4,e4),e3) ),[0],$fot(e1)]]) ).
cnf(refute_2_89,plain,
( op(e4,e4) != e3
| e1 = e3 ),
inference(resolve,[$cnf( $equal(op(e4,e4),e1) )],[refute_2_8,refute_2_88]) ).
cnf(refute_2_90,plain,
( e1 = e3
| op(e0,e4) = e3
| op(e1,e4) = e3
| op(e2,e4) = e3
| op(e3,e4) = e3 ),
inference(resolve,[$cnf( $equal(op(e4,e4),e3) )],[refute_2_87,refute_2_89]) ).
cnf(refute_2_91,plain,
e1 != e3,
inference(canonicalize,[],[normalize_2_20]) ).
cnf(refute_2_92,plain,
( op(e0,e4) = e3
| op(e1,e4) = e3
| op(e2,e4) = e3
| op(e3,e4) = e3 ),
inference(resolve,[$cnf( $equal(e1,e3) )],[refute_2_90,refute_2_91]) ).
cnf(refute_2_93,plain,
op(e0,e0) != op(e0,e4),
inference(canonicalize,[],[normalize_2_21]) ).
cnf(refute_2_94,plain,
( e3 != op(e0,e4)
| op(e0,e0) != e3
| op(e0,e0) = op(e0,e4) ),
introduced(tautology,[equality,[$cnf( $equal(op(e0,e0),e3) ),[1],$fot(op(e0,e4))]]) ).
cnf(refute_2_95,plain,
( e3 != op(e0,e4)
| op(e0,e0) = op(e0,e4) ),
inference(resolve,[$cnf( $equal(op(e0,e0),e3) )],[refute_2_61,refute_2_94]) ).
cnf(refute_2_96,plain,
e3 != op(e0,e4),
inference(resolve,[$cnf( $equal(op(e0,e0),op(e0,e4)) )],[refute_2_95,refute_2_93]) ).
cnf(refute_2_97,plain,
( op(e0,e4) != e3
| e3 = op(e0,e4) ),
inference(subst,[],[refute_2_6:[bind(X,$fot(op(e0,e4))),bind(Y,$fot(e3))]]) ).
cnf(refute_2_98,plain,
op(e0,e4) != e3,
inference(resolve,[$cnf( $equal(e3,op(e0,e4)) )],[refute_2_97,refute_2_96]) ).
cnf(refute_2_99,plain,
( op(e1,e4) = e3
| op(e2,e4) = e3
| op(e3,e4) = e3 ),
inference(resolve,[$cnf( $equal(op(e0,e4),e3) )],[refute_2_92,refute_2_98]) ).
cnf(refute_2_100,plain,
op(op(e4,e0),op(e0,e4)) = e0,
inference(canonicalize,[],[normalize_2_22]) ).
cnf(refute_2_101,plain,
( op(e0,e0) = e0
| op(e0,e1) = e1
| op(e0,e2) = e2
| op(e0,e3) = e3
| op(e0,e4) = e4 ),
inference(canonicalize,[],[normalize_2_24]) ).
cnf(refute_2_102,plain,
( op(e0,e0) != e0
| op(e0,e0) != e3
| e3 = e0 ),
introduced(tautology,[equality,[$cnf( $equal(op(e0,e0),e0) ),[0],$fot(e3)]]) ).
cnf(refute_2_103,plain,
( op(e0,e0) != e0
| e3 = e0 ),
inference(resolve,[$cnf( $equal(op(e0,e0),e3) )],[refute_2_61,refute_2_102]) ).
cnf(refute_2_104,plain,
( e3 = e0
| op(e0,e1) = e1
| op(e0,e2) = e2
| op(e0,e3) = e3
| op(e0,e4) = e4 ),
inference(resolve,[$cnf( $equal(op(e0,e0),e0) )],[refute_2_101,refute_2_103]) ).
cnf(refute_2_105,plain,
( op(e0,e1) != e1
| op(e0,e1) != e2
| e2 = e1 ),
introduced(tautology,[equality,[$cnf( $equal(op(e0,e1),e1) ),[0],$fot(e2)]]) ).
cnf(refute_2_106,plain,
( op(e0,e1) != e1
| e2 = e1 ),
inference(resolve,[$cnf( $equal(op(e0,e1),e2) )],[refute_2_29,refute_2_105]) ).
cnf(refute_2_107,plain,
( e2 = e1
| e3 = e0
| op(e0,e2) = e2
| op(e0,e3) = e3
| op(e0,e4) = e4 ),
inference(resolve,[$cnf( $equal(op(e0,e1),e1) )],[refute_2_104,refute_2_106]) ).
cnf(refute_2_108,plain,
e1 != e2,
inference(canonicalize,[],[normalize_2_25]) ).
cnf(refute_2_109,plain,
( e2 != e1
| e1 = e2 ),
inference(subst,[],[refute_2_6:[bind(X,$fot(e2)),bind(Y,$fot(e1))]]) ).
cnf(refute_2_110,plain,
e2 != e1,
inference(resolve,[$cnf( $equal(e1,e2) )],[refute_2_109,refute_2_108]) ).
cnf(refute_2_111,plain,
( e3 = e0
| op(e0,e2) = e2
| op(e0,e3) = e3
| op(e0,e4) = e4 ),
inference(resolve,[$cnf( $equal(e2,e1) )],[refute_2_107,refute_2_110]) ).
cnf(refute_2_112,plain,
e0 != e3,
inference(canonicalize,[],[normalize_2_26]) ).
cnf(refute_2_113,plain,
( e3 != e0
| e0 = e3 ),
inference(subst,[],[refute_2_6:[bind(X,$fot(e3)),bind(Y,$fot(e0))]]) ).
cnf(refute_2_114,plain,
e3 != e0,
inference(resolve,[$cnf( $equal(e0,e3) )],[refute_2_113,refute_2_112]) ).
cnf(refute_2_115,plain,
( op(e0,e2) = e2
| op(e0,e3) = e3
| op(e0,e4) = e4 ),
inference(resolve,[$cnf( $equal(e3,e0) )],[refute_2_111,refute_2_114]) ).
cnf(refute_2_116,plain,
( op(e0,e3) = e3
| op(e0,e4) = e4 ),
inference(resolve,[$cnf( $equal(op(e0,e2),e2) )],[refute_2_115,refute_2_34]) ).
cnf(refute_2_117,plain,
op(e0,e0) != op(e0,e3),
inference(canonicalize,[],[normalize_2_27]) ).
cnf(refute_2_118,plain,
( e3 != op(e0,e3)
| op(e0,e0) != e3
| op(e0,e0) = op(e0,e3) ),
introduced(tautology,[equality,[$cnf( $equal(op(e0,e0),e3) ),[1],$fot(op(e0,e3))]]) ).
cnf(refute_2_119,plain,
( e3 != op(e0,e3)
| op(e0,e0) = op(e0,e3) ),
inference(resolve,[$cnf( $equal(op(e0,e0),e3) )],[refute_2_61,refute_2_118]) ).
cnf(refute_2_120,plain,
e3 != op(e0,e3),
inference(resolve,[$cnf( $equal(op(e0,e0),op(e0,e3)) )],[refute_2_119,refute_2_117]) ).
cnf(refute_2_121,plain,
( op(e0,e3) != e3
| e3 = op(e0,e3) ),
inference(subst,[],[refute_2_6:[bind(X,$fot(op(e0,e3))),bind(Y,$fot(e3))]]) ).
cnf(refute_2_122,plain,
op(e0,e3) != e3,
inference(resolve,[$cnf( $equal(e3,op(e0,e3)) )],[refute_2_121,refute_2_120]) ).
cnf(refute_2_123,plain,
op(e0,e4) = e4,
inference(resolve,[$cnf( $equal(op(e0,e3),e3) )],[refute_2_116,refute_2_122]) ).
cnf(refute_2_124,plain,
op(op(e4,e0),op(e0,e4)) = op(op(e4,e0),op(e0,e4)),
introduced(tautology,[refl,[$fot(op(op(e4,e0),op(e0,e4)))]]) ).
cnf(refute_2_125,plain,
( op(e0,e4) != e4
| op(op(e4,e0),op(e0,e4)) != op(op(e4,e0),op(e0,e4))
| op(op(e4,e0),op(e0,e4)) = op(op(e4,e0),e4) ),
introduced(tautology,[equality,[$cnf( $equal(op(op(e4,e0),op(e0,e4)),op(op(e4,e0),op(e0,e4))) ),[1,1],$fot(e4)]]) ).
cnf(refute_2_126,plain,
( op(e0,e4) != e4
| op(op(e4,e0),op(e0,e4)) = op(op(e4,e0),e4) ),
inference(resolve,[$cnf( $equal(op(op(e4,e0),op(e0,e4)),op(op(e4,e0),op(e0,e4))) )],[refute_2_124,refute_2_125]) ).
cnf(refute_2_127,plain,
op(op(e4,e0),op(e0,e4)) = op(op(e4,e0),e4),
inference(resolve,[$cnf( $equal(op(e0,e4),e4) )],[refute_2_123,refute_2_126]) ).
cnf(refute_2_128,plain,
( op(op(e4,e0),op(e0,e4)) != e0
| op(op(e4,e0),op(e0,e4)) != op(op(e4,e0),e4)
| op(op(e4,e0),e4) = e0 ),
introduced(tautology,[equality,[$cnf( $equal(op(op(e4,e0),op(e0,e4)),e0) ),[0],$fot(op(op(e4,e0),e4))]]) ).
cnf(refute_2_129,plain,
( op(op(e4,e0),op(e0,e4)) != e0
| op(op(e4,e0),e4) = e0 ),
inference(resolve,[$cnf( $equal(op(op(e4,e0),op(e0,e4)),op(op(e4,e0),e4)) )],[refute_2_127,refute_2_128]) ).
cnf(refute_2_130,plain,
op(op(e4,e0),e4) = e0,
inference(resolve,[$cnf( $equal(op(op(e4,e0),op(e0,e4)),e0) )],[refute_2_100,refute_2_129]) ).
cnf(refute_2_131,plain,
( op(e4,e0) = e0
| op(e4,e0) = e1
| op(e4,e0) = e2
| op(e4,e0) = e3
| op(e4,e0) = e4 ),
inference(canonicalize,[],[normalize_2_28]) ).
cnf(refute_2_132,plain,
op(e4,e0) != op(e4,e4),
inference(canonicalize,[],[normalize_2_29]) ).
cnf(refute_2_133,plain,
( op(e4,e0) != e1
| op(e4,e4) != e1
| op(e4,e0) = op(e4,e4) ),
introduced(tautology,[equality,[$cnf( ~ $equal(op(e4,e0),op(e4,e4)) ),[1],$fot(e1)]]) ).
cnf(refute_2_134,plain,
( op(e4,e0) != e1
| op(e4,e0) = op(e4,e4) ),
inference(resolve,[$cnf( $equal(op(e4,e4),e1) )],[refute_2_8,refute_2_133]) ).
cnf(refute_2_135,plain,
op(e4,e0) != e1,
inference(resolve,[$cnf( $equal(op(e4,e0),op(e4,e4)) )],[refute_2_134,refute_2_132]) ).
cnf(refute_2_136,plain,
( op(e4,e0) = e0
| op(e4,e0) = e2
| op(e4,e0) = e3
| op(e4,e0) = e4 ),
inference(resolve,[$cnf( $equal(op(e4,e0),e1) )],[refute_2_131,refute_2_135]) ).
cnf(refute_2_137,plain,
op(e0,e0) != op(e4,e0),
inference(canonicalize,[],[normalize_2_30]) ).
cnf(refute_2_138,plain,
( e3 != op(e4,e0)
| op(e0,e0) != e3
| op(e0,e0) = op(e4,e0) ),
introduced(tautology,[equality,[$cnf( $equal(op(e0,e0),e3) ),[1],$fot(op(e4,e0))]]) ).
cnf(refute_2_139,plain,
( e3 != op(e4,e0)
| op(e0,e0) = op(e4,e0) ),
inference(resolve,[$cnf( $equal(op(e0,e0),e3) )],[refute_2_61,refute_2_138]) ).
cnf(refute_2_140,plain,
e3 != op(e4,e0),
inference(resolve,[$cnf( $equal(op(e0,e0),op(e4,e0)) )],[refute_2_139,refute_2_137]) ).
cnf(refute_2_141,plain,
( op(e4,e0) != e3
| e3 = op(e4,e0) ),
inference(subst,[],[refute_2_6:[bind(X,$fot(op(e4,e0))),bind(Y,$fot(e3))]]) ).
cnf(refute_2_142,plain,
op(e4,e0) != e3,
inference(resolve,[$cnf( $equal(e3,op(e4,e0)) )],[refute_2_141,refute_2_140]) ).
cnf(refute_2_143,plain,
( op(e4,e0) = e0
| op(e4,e0) = e2
| op(e4,e0) = e4 ),
inference(resolve,[$cnf( $equal(op(e4,e0),e3) )],[refute_2_136,refute_2_142]) ).
cnf(refute_2_144,plain,
op(e4,e0) != op(e4,e1),
inference(canonicalize,[],[normalize_2_31]) ).
cnf(refute_2_145,plain,
( op(e4,e0) != e0
| op(e4,e1) != e0
| op(e4,e0) = op(e4,e1) ),
introduced(tautology,[equality,[$cnf( ~ $equal(op(e4,e0),op(e4,e1)) ),[1],$fot(e0)]]) ).
cnf(refute_2_146,plain,
( op(e4,e0) != e0
| op(e4,e0) = op(e4,e1) ),
inference(resolve,[$cnf( $equal(op(e4,e1),e0) )],[refute_2_78,refute_2_145]) ).
cnf(refute_2_147,plain,
op(e4,e0) != e0,
inference(resolve,[$cnf( $equal(op(e4,e0),op(e4,e1)) )],[refute_2_146,refute_2_144]) ).
cnf(refute_2_148,plain,
( op(e4,e0) = e2
| op(e4,e0) = e4 ),
inference(resolve,[$cnf( $equal(op(e4,e0),e0) )],[refute_2_143,refute_2_147]) ).
cnf(refute_2_149,plain,
( op(e4,e0) != e4
| op(op(e4,e0),e4) != e0
| op(e4,e4) = e0 ),
introduced(tautology,[equality,[$cnf( $equal(op(op(e4,e0),e4),e0) ),[0,0],$fot(e4)]]) ).
cnf(refute_2_150,plain,
( op(op(e4,e0),e4) != e0
| op(e4,e0) = e2
| op(e4,e4) = e0 ),
inference(resolve,[$cnf( $equal(op(e4,e0),e4) )],[refute_2_148,refute_2_149]) ).
cnf(refute_2_151,plain,
( op(e4,e0) = e2
| op(e4,e4) = e0 ),
inference(resolve,[$cnf( $equal(op(op(e4,e0),e4),e0) )],[refute_2_130,refute_2_150]) ).
cnf(refute_2_152,plain,
( op(e4,e4) != e0
| op(e4,e4) != e1
| e1 = e0 ),
introduced(tautology,[equality,[$cnf( $equal(op(e4,e4),e0) ),[0],$fot(e1)]]) ).
cnf(refute_2_153,plain,
( op(e4,e4) != e0
| e1 = e0 ),
inference(resolve,[$cnf( $equal(op(e4,e4),e1) )],[refute_2_8,refute_2_152]) ).
cnf(refute_2_154,plain,
( e1 = e0
| op(e4,e0) = e2 ),
inference(resolve,[$cnf( $equal(op(e4,e4),e0) )],[refute_2_151,refute_2_153]) ).
cnf(refute_2_155,plain,
e0 != e1,
inference(canonicalize,[],[normalize_2_32]) ).
cnf(refute_2_156,plain,
( e1 != e0
| e0 = e1 ),
inference(subst,[],[refute_2_6:[bind(X,$fot(e1)),bind(Y,$fot(e0))]]) ).
cnf(refute_2_157,plain,
e1 != e0,
inference(resolve,[$cnf( $equal(e0,e1) )],[refute_2_156,refute_2_155]) ).
cnf(refute_2_158,plain,
op(e4,e0) = e2,
inference(resolve,[$cnf( $equal(e1,e0) )],[refute_2_154,refute_2_157]) ).
cnf(refute_2_159,plain,
op(op(e4,e0),e4) = op(op(e4,e0),e4),
introduced(tautology,[refl,[$fot(op(op(e4,e0),e4))]]) ).
cnf(refute_2_160,plain,
( op(e4,e0) != e2
| op(op(e4,e0),e4) != op(op(e4,e0),e4)
| op(op(e4,e0),e4) = op(e2,e4) ),
introduced(tautology,[equality,[$cnf( $equal(op(op(e4,e0),e4),op(op(e4,e0),e4)) ),[1,0],$fot(e2)]]) ).
cnf(refute_2_161,plain,
( op(e4,e0) != e2
| op(op(e4,e0),e4) = op(e2,e4) ),
inference(resolve,[$cnf( $equal(op(op(e4,e0),e4),op(op(e4,e0),e4)) )],[refute_2_159,refute_2_160]) ).
cnf(refute_2_162,plain,
op(op(e4,e0),e4) = op(e2,e4),
inference(resolve,[$cnf( $equal(op(e4,e0),e2) )],[refute_2_158,refute_2_161]) ).
cnf(refute_2_163,plain,
( op(op(e4,e0),e4) != e0
| op(op(e4,e0),e4) != op(e2,e4)
| op(e2,e4) = e0 ),
introduced(tautology,[equality,[$cnf( $equal(op(op(e4,e0),e4),e0) ),[0],$fot(op(e2,e4))]]) ).
cnf(refute_2_164,plain,
( op(op(e4,e0),e4) != e0
| op(e2,e4) = e0 ),
inference(resolve,[$cnf( $equal(op(op(e4,e0),e4),op(e2,e4)) )],[refute_2_162,refute_2_163]) ).
cnf(refute_2_165,plain,
op(e2,e4) = e0,
inference(resolve,[$cnf( $equal(op(op(e4,e0),e4),e0) )],[refute_2_130,refute_2_164]) ).
cnf(refute_2_166,plain,
( op(e2,e4) != e0
| op(e2,e4) != e3
| e0 = e3 ),
introduced(tautology,[equality,[$cnf( $equal(op(e2,e4),e3) ),[0],$fot(e0)]]) ).
cnf(refute_2_167,plain,
( op(e2,e4) != e3
| e0 = e3 ),
inference(resolve,[$cnf( $equal(op(e2,e4),e0) )],[refute_2_165,refute_2_166]) ).
cnf(refute_2_168,plain,
( e0 = e3
| op(e1,e4) = e3
| op(e3,e4) = e3 ),
inference(resolve,[$cnf( $equal(op(e2,e4),e3) )],[refute_2_99,refute_2_167]) ).
cnf(refute_2_169,plain,
( op(e1,e4) = e3
| op(e3,e4) = e3 ),
inference(resolve,[$cnf( $equal(e0,e3) )],[refute_2_168,refute_2_112]) ).
cnf(refute_2_170,plain,
( op(e3,e4) != e3
| op(op(e3,e4),op(e4,e3)) != e4
| op(e3,op(e4,e3)) = e4 ),
introduced(tautology,[equality,[$cnf( $equal(op(op(e3,e4),op(e4,e3)),e4) ),[0,0],$fot(e3)]]) ).
cnf(refute_2_171,plain,
( op(op(e3,e4),op(e4,e3)) != e4
| op(e1,e4) = e3
| op(e3,op(e4,e3)) = e4 ),
inference(resolve,[$cnf( $equal(op(e3,e4),e3) )],[refute_2_169,refute_2_170]) ).
cnf(refute_2_172,plain,
( op(e1,e4) = e3
| op(e3,op(e4,e3)) = e4 ),
inference(resolve,[$cnf( $equal(op(op(e3,e4),op(e4,e3)),e4) )],[refute_2_86,refute_2_171]) ).
cnf(refute_2_173,plain,
op(op(e0,e0),op(e0,e0)) = e0,
inference(canonicalize,[],[normalize_2_33]) ).
cnf(refute_2_174,plain,
op(e3,op(e0,e0)) = op(e3,op(e0,e0)),
introduced(tautology,[refl,[$fot(op(e3,op(e0,e0)))]]) ).
cnf(refute_2_175,plain,
( op(e0,e0) != e3
| op(e3,op(e0,e0)) != op(e3,op(e0,e0))
| op(e3,op(e0,e0)) = op(e3,e3) ),
introduced(tautology,[equality,[$cnf( $equal(op(e3,op(e0,e0)),op(e3,op(e0,e0))) ),[1,1],$fot(e3)]]) ).
cnf(refute_2_176,plain,
( op(e0,e0) != e3
| op(e3,op(e0,e0)) = op(e3,e3) ),
inference(resolve,[$cnf( $equal(op(e3,op(e0,e0)),op(e3,op(e0,e0))) )],[refute_2_174,refute_2_175]) ).
cnf(refute_2_177,plain,
op(e3,op(e0,e0)) = op(e3,e3),
inference(resolve,[$cnf( $equal(op(e0,e0),e3) )],[refute_2_61,refute_2_176]) ).
cnf(refute_2_178,plain,
op(op(e0,e0),op(e0,e0)) = op(op(e0,e0),op(e0,e0)),
introduced(tautology,[refl,[$fot(op(op(e0,e0),op(e0,e0)))]]) ).
cnf(refute_2_179,plain,
( op(e0,e0) != e3
| op(op(e0,e0),op(e0,e0)) != op(op(e0,e0),op(e0,e0))
| op(op(e0,e0),op(e0,e0)) = op(e3,op(e0,e0)) ),
introduced(tautology,[equality,[$cnf( $equal(op(op(e0,e0),op(e0,e0)),op(op(e0,e0),op(e0,e0))) ),[1,0],$fot(e3)]]) ).
cnf(refute_2_180,plain,
( op(e0,e0) != e3
| op(op(e0,e0),op(e0,e0)) = op(e3,op(e0,e0)) ),
inference(resolve,[$cnf( $equal(op(op(e0,e0),op(e0,e0)),op(op(e0,e0),op(e0,e0))) )],[refute_2_178,refute_2_179]) ).
cnf(refute_2_181,plain,
op(op(e0,e0),op(e0,e0)) = op(e3,op(e0,e0)),
inference(resolve,[$cnf( $equal(op(e0,e0),e3) )],[refute_2_61,refute_2_180]) ).
cnf(refute_2_182,plain,
( op(e3,op(e0,e0)) != op(e3,e3)
| op(op(e0,e0),op(e0,e0)) != op(e3,op(e0,e0))
| op(op(e0,e0),op(e0,e0)) = op(e3,e3) ),
inference(subst,[],[refute_2_21:[bind(X,$fot(op(op(e0,e0),op(e0,e0)))),bind(Y,$fot(op(e3,op(e0,e0)))),bind(Z,$fot(op(e3,e3)))]]) ).
cnf(refute_2_183,plain,
( op(e3,op(e0,e0)) != op(e3,e3)
| op(op(e0,e0),op(e0,e0)) = op(e3,e3) ),
inference(resolve,[$cnf( $equal(op(op(e0,e0),op(e0,e0)),op(e3,op(e0,e0))) )],[refute_2_181,refute_2_182]) ).
cnf(refute_2_184,plain,
op(op(e0,e0),op(e0,e0)) = op(e3,e3),
inference(resolve,[$cnf( $equal(op(e3,op(e0,e0)),op(e3,e3)) )],[refute_2_177,refute_2_183]) ).
cnf(refute_2_185,plain,
( op(op(e0,e0),op(e0,e0)) != e0
| op(op(e0,e0),op(e0,e0)) != op(e3,e3)
| op(e3,e3) = e0 ),
introduced(tautology,[equality,[$cnf( $equal(op(op(e0,e0),op(e0,e0)),e0) ),[0],$fot(op(e3,e3))]]) ).
cnf(refute_2_186,plain,
( op(op(e0,e0),op(e0,e0)) != e0
| op(e3,e3) = e0 ),
inference(resolve,[$cnf( $equal(op(op(e0,e0),op(e0,e0)),op(e3,e3)) )],[refute_2_184,refute_2_185]) ).
cnf(refute_2_187,plain,
op(e3,e3) = e0,
inference(resolve,[$cnf( $equal(op(op(e0,e0),op(e0,e0)),e0) )],[refute_2_173,refute_2_186]) ).
cnf(refute_2_188,plain,
( op(e4,e0) = e3
| op(e4,e1) = e3
| op(e4,e2) = e3
| op(e4,e3) = e3
| op(e4,e4) = e3 ),
inference(canonicalize,[],[normalize_2_34]) ).
cnf(refute_2_189,plain,
( e1 = e3
| op(e4,e0) = e3
| op(e4,e1) = e3
| op(e4,e2) = e3
| op(e4,e3) = e3 ),
inference(resolve,[$cnf( $equal(op(e4,e4),e3) )],[refute_2_188,refute_2_89]) ).
cnf(refute_2_190,plain,
( op(e4,e0) = e3
| op(e4,e1) = e3
| op(e4,e2) = e3
| op(e4,e3) = e3 ),
inference(resolve,[$cnf( $equal(e1,e3) )],[refute_2_189,refute_2_91]) ).
cnf(refute_2_191,plain,
( op(e4,e1) = e3
| op(e4,e2) = e3
| op(e4,e3) = e3 ),
inference(resolve,[$cnf( $equal(op(e4,e0),e3) )],[refute_2_190,refute_2_142]) ).
cnf(refute_2_192,plain,
( op(e4,e1) != e0
| op(e4,e1) != e3
| e0 = e3 ),
introduced(tautology,[equality,[$cnf( $equal(op(e4,e1),e3) ),[0],$fot(e0)]]) ).
cnf(refute_2_193,plain,
( op(e4,e1) != e3
| e0 = e3 ),
inference(resolve,[$cnf( $equal(op(e4,e1),e0) )],[refute_2_78,refute_2_192]) ).
cnf(refute_2_194,plain,
( e0 = e3
| op(e4,e2) = e3
| op(e4,e3) = e3 ),
inference(resolve,[$cnf( $equal(op(e4,e1),e3) )],[refute_2_191,refute_2_193]) ).
cnf(refute_2_195,plain,
op(op(e0,e4),op(e4,e0)) = e4,
inference(canonicalize,[],[normalize_2_35]) ).
cnf(refute_2_196,plain,
op(op(e0,e4),op(e4,e0)) = op(op(e0,e4),op(e4,e0)),
introduced(tautology,[refl,[$fot(op(op(e0,e4),op(e4,e0)))]]) ).
cnf(refute_2_197,plain,
( op(e0,e4) != e4
| op(op(e0,e4),op(e4,e0)) != op(op(e0,e4),op(e4,e0))
| op(op(e0,e4),op(e4,e0)) = op(e4,op(e4,e0)) ),
introduced(tautology,[equality,[$cnf( $equal(op(op(e0,e4),op(e4,e0)),op(op(e0,e4),op(e4,e0))) ),[1,0],$fot(e4)]]) ).
cnf(refute_2_198,plain,
( op(e0,e4) != e4
| op(op(e0,e4),op(e4,e0)) = op(e4,op(e4,e0)) ),
inference(resolve,[$cnf( $equal(op(op(e0,e4),op(e4,e0)),op(op(e0,e4),op(e4,e0))) )],[refute_2_196,refute_2_197]) ).
cnf(refute_2_199,plain,
op(op(e0,e4),op(e4,e0)) = op(e4,op(e4,e0)),
inference(resolve,[$cnf( $equal(op(e0,e4),e4) )],[refute_2_123,refute_2_198]) ).
cnf(refute_2_200,plain,
( op(op(e0,e4),op(e4,e0)) != e4
| op(op(e0,e4),op(e4,e0)) != op(e4,op(e4,e0))
| op(e4,op(e4,e0)) = e4 ),
introduced(tautology,[equality,[$cnf( $equal(op(op(e0,e4),op(e4,e0)),e4) ),[0],$fot(op(e4,op(e4,e0)))]]) ).
cnf(refute_2_201,plain,
( op(op(e0,e4),op(e4,e0)) != e4
| op(e4,op(e4,e0)) = e4 ),
inference(resolve,[$cnf( $equal(op(op(e0,e4),op(e4,e0)),op(e4,op(e4,e0))) )],[refute_2_199,refute_2_200]) ).
cnf(refute_2_202,plain,
op(e4,op(e4,e0)) = e4,
inference(resolve,[$cnf( $equal(op(op(e0,e4),op(e4,e0)),e4) )],[refute_2_195,refute_2_201]) ).
cnf(refute_2_203,plain,
op(e4,op(e4,e0)) = op(e4,op(e4,e0)),
introduced(tautology,[refl,[$fot(op(e4,op(e4,e0)))]]) ).
cnf(refute_2_204,plain,
( op(e4,e0) != e2
| op(e4,op(e4,e0)) != op(e4,op(e4,e0))
| op(e4,op(e4,e0)) = op(e4,e2) ),
introduced(tautology,[equality,[$cnf( $equal(op(e4,op(e4,e0)),op(e4,op(e4,e0))) ),[1,1],$fot(e2)]]) ).
cnf(refute_2_205,plain,
( op(e4,e0) != e2
| op(e4,op(e4,e0)) = op(e4,e2) ),
inference(resolve,[$cnf( $equal(op(e4,op(e4,e0)),op(e4,op(e4,e0))) )],[refute_2_203,refute_2_204]) ).
cnf(refute_2_206,plain,
op(e4,op(e4,e0)) = op(e4,e2),
inference(resolve,[$cnf( $equal(op(e4,e0),e2) )],[refute_2_158,refute_2_205]) ).
cnf(refute_2_207,plain,
( op(e4,op(e4,e0)) != e4
| op(e4,op(e4,e0)) != op(e4,e2)
| op(e4,e2) = e4 ),
introduced(tautology,[equality,[$cnf( $equal(op(e4,op(e4,e0)),e4) ),[0],$fot(op(e4,e2))]]) ).
cnf(refute_2_208,plain,
( op(e4,op(e4,e0)) != e4
| op(e4,e2) = e4 ),
inference(resolve,[$cnf( $equal(op(e4,op(e4,e0)),op(e4,e2)) )],[refute_2_206,refute_2_207]) ).
cnf(refute_2_209,plain,
op(e4,e2) = e4,
inference(resolve,[$cnf( $equal(op(e4,op(e4,e0)),e4) )],[refute_2_202,refute_2_208]) ).
cnf(refute_2_210,plain,
( op(e4,e2) != e3
| op(e4,e2) != e4
| e4 = e3 ),
introduced(tautology,[equality,[$cnf( $equal(op(e4,e2),e3) ),[0],$fot(e4)]]) ).
cnf(refute_2_211,plain,
( op(e4,e2) != e3
| e4 = e3 ),
inference(resolve,[$cnf( $equal(op(e4,e2),e4) )],[refute_2_209,refute_2_210]) ).
cnf(refute_2_212,plain,
( e0 = e3
| e4 = e3
| op(e4,e3) = e3 ),
inference(resolve,[$cnf( $equal(op(e4,e2),e3) )],[refute_2_194,refute_2_211]) ).
cnf(refute_2_213,plain,
( e4 = e3
| op(e4,e3) = e3 ),
inference(resolve,[$cnf( $equal(e0,e3) )],[refute_2_212,refute_2_112]) ).
cnf(refute_2_214,plain,
e3 != e4,
inference(canonicalize,[],[normalize_2_36]) ).
cnf(refute_2_215,plain,
( e4 != e3
| e3 = e4 ),
inference(subst,[],[refute_2_6:[bind(X,$fot(e4)),bind(Y,$fot(e3))]]) ).
cnf(refute_2_216,plain,
e4 != e3,
inference(resolve,[$cnf( $equal(e3,e4) )],[refute_2_215,refute_2_214]) ).
cnf(refute_2_217,plain,
op(e4,e3) = e3,
inference(resolve,[$cnf( $equal(e4,e3) )],[refute_2_213,refute_2_216]) ).
cnf(refute_2_218,plain,
op(e3,op(e4,e3)) = op(e3,op(e4,e3)),
introduced(tautology,[refl,[$fot(op(e3,op(e4,e3)))]]) ).
cnf(refute_2_219,plain,
( op(e3,op(e4,e3)) != op(e3,op(e4,e3))
| op(e4,e3) != e3
| op(e3,op(e4,e3)) = op(e3,e3) ),
introduced(tautology,[equality,[$cnf( $equal(op(e3,op(e4,e3)),op(e3,op(e4,e3))) ),[1,1],$fot(e3)]]) ).
cnf(refute_2_220,plain,
( op(e4,e3) != e3
| op(e3,op(e4,e3)) = op(e3,e3) ),
inference(resolve,[$cnf( $equal(op(e3,op(e4,e3)),op(e3,op(e4,e3))) )],[refute_2_218,refute_2_219]) ).
cnf(refute_2_221,plain,
op(e3,op(e4,e3)) = op(e3,e3),
inference(resolve,[$cnf( $equal(op(e4,e3),e3) )],[refute_2_217,refute_2_220]) ).
cnf(refute_2_222,plain,
( op(e3,e3) != e0
| op(e3,op(e4,e3)) != op(e3,e3)
| op(e3,op(e4,e3)) = e0 ),
inference(subst,[],[refute_2_21:[bind(X,$fot(op(e3,op(e4,e3)))),bind(Y,$fot(op(e3,e3))),bind(Z,$fot(e0))]]) ).
cnf(refute_2_223,plain,
( op(e3,e3) != e0
| op(e3,op(e4,e3)) = e0 ),
inference(resolve,[$cnf( $equal(op(e3,op(e4,e3)),op(e3,e3)) )],[refute_2_221,refute_2_222]) ).
cnf(refute_2_224,plain,
op(e3,op(e4,e3)) = e0,
inference(resolve,[$cnf( $equal(op(e3,e3),e0) )],[refute_2_187,refute_2_223]) ).
cnf(refute_2_225,plain,
( op(e3,op(e4,e3)) != e0
| op(e3,op(e4,e3)) != e4
| e0 = e4 ),
introduced(tautology,[equality,[$cnf( $equal(op(e3,op(e4,e3)),e4) ),[0],$fot(e0)]]) ).
cnf(refute_2_226,plain,
( op(e3,op(e4,e3)) != e4
| e0 = e4 ),
inference(resolve,[$cnf( $equal(op(e3,op(e4,e3)),e0) )],[refute_2_224,refute_2_225]) ).
cnf(refute_2_227,plain,
( e0 = e4
| op(e1,e4) = e3 ),
inference(resolve,[$cnf( $equal(op(e3,op(e4,e3)),e4) )],[refute_2_172,refute_2_226]) ).
cnf(refute_2_228,plain,
e0 != e4,
inference(canonicalize,[],[normalize_2_37]) ).
cnf(refute_2_229,plain,
op(e1,e4) = e3,
inference(resolve,[$cnf( $equal(e0,e4) )],[refute_2_227,refute_2_228]) ).
cnf(refute_2_230,plain,
op(e0,op(e1,e4)) = op(e0,op(e1,e4)),
introduced(tautology,[refl,[$fot(op(e0,op(e1,e4)))]]) ).
cnf(refute_2_231,plain,
( op(e0,op(e1,e4)) != op(e0,op(e1,e4))
| op(e1,e4) != e3
| op(e0,op(e1,e4)) = op(e0,e3) ),
introduced(tautology,[equality,[$cnf( $equal(op(e0,op(e1,e4)),op(e0,op(e1,e4))) ),[1,1],$fot(e3)]]) ).
cnf(refute_2_232,plain,
( op(e1,e4) != e3
| op(e0,op(e1,e4)) = op(e0,e3) ),
inference(resolve,[$cnf( $equal(op(e0,op(e1,e4)),op(e0,op(e1,e4))) )],[refute_2_230,refute_2_231]) ).
cnf(refute_2_233,plain,
op(e0,op(e1,e4)) = op(e0,e3),
inference(resolve,[$cnf( $equal(op(e1,e4),e3) )],[refute_2_229,refute_2_232]) ).
cnf(refute_2_234,plain,
( op(e0,op(e1,e4)) != e1
| op(e0,op(e1,e4)) != op(e0,e3)
| op(e0,e3) = e1 ),
introduced(tautology,[equality,[$cnf( $equal(op(e0,op(e1,e4)),e1) ),[0],$fot(op(e0,e3))]]) ).
cnf(refute_2_235,plain,
( op(e0,op(e1,e4)) != e1
| op(e0,e3) = e1 ),
inference(resolve,[$cnf( $equal(op(e0,op(e1,e4)),op(e0,e3)) )],[refute_2_233,refute_2_234]) ).
cnf(refute_2_236,plain,
op(e0,e3) = e1,
inference(resolve,[$cnf( $equal(op(e0,op(e1,e4)),e1) )],[refute_2_85,refute_2_235]) ).
cnf(refute_2_237,plain,
( op(e0,e2) != e1
| op(e0,e3) != e1
| op(e0,e2) = op(e0,e3) ),
introduced(tautology,[equality,[$cnf( ~ $equal(op(e0,e2),op(e0,e3)) ),[1],$fot(e1)]]) ).
cnf(refute_2_238,plain,
( op(e0,e2) != e1
| op(e0,e2) = op(e0,e3) ),
inference(resolve,[$cnf( $equal(op(e0,e3),e1) )],[refute_2_236,refute_2_237]) ).
cnf(refute_2_239,plain,
op(e0,e2) != e1,
inference(resolve,[$cnf( $equal(op(e0,e2),op(e0,e3)) )],[refute_2_238,refute_2_68]) ).
cnf(refute_2_240,plain,
( op(e0,e2) = e0
| op(e0,e2) = e4 ),
inference(resolve,[$cnf( $equal(op(e0,e2),e1) )],[refute_2_67,refute_2_239]) ).
cnf(refute_2_241,plain,
op(e0,e2) != op(e0,e4),
inference(canonicalize,[],[normalize_2_38]) ).
cnf(refute_2_242,plain,
( op(e0,e2) != e4
| op(e0,e4) != e4
| op(e0,e2) = op(e0,e4) ),
introduced(tautology,[equality,[$cnf( ~ $equal(op(e0,e2),op(e0,e4)) ),[1],$fot(e4)]]) ).
cnf(refute_2_243,plain,
( op(e0,e2) != e4
| op(e0,e2) = op(e0,e4) ),
inference(resolve,[$cnf( $equal(op(e0,e4),e4) )],[refute_2_123,refute_2_242]) ).
cnf(refute_2_244,plain,
op(e0,e2) != e4,
inference(resolve,[$cnf( $equal(op(e0,e2),op(e0,e4)) )],[refute_2_243,refute_2_241]) ).
cnf(refute_2_245,plain,
op(e0,e2) = e0,
inference(resolve,[$cnf( $equal(op(e0,e2),e4) )],[refute_2_240,refute_2_244]) ).
cnf(refute_2_246,plain,
( op(e0,e2) != e0
| op(e0,e2) != e1
| e0 = e1 ),
introduced(tautology,[equality,[$cnf( $equal(op(e0,e2),e1) ),[0],$fot(e0)]]) ).
cnf(refute_2_247,plain,
( op(e0,e2) != e1
| e0 = e1 ),
inference(resolve,[$cnf( $equal(op(e0,e2),e0) )],[refute_2_245,refute_2_246]) ).
cnf(refute_2_248,plain,
( e0 = e1
| op(e1,e2) = e1
| op(e2,e2) = e1
| op(e3,e2) = e1 ),
inference(resolve,[$cnf( $equal(op(e0,e2),e1) )],[refute_2_41,refute_2_247]) ).
cnf(refute_2_249,plain,
op(op(e4,e3),op(e3,e4)) = e3,
inference(canonicalize,[],[normalize_2_39]) ).
cnf(refute_2_250,plain,
op(op(e4,e3),op(e3,e4)) = op(op(e4,e3),op(e3,e4)),
introduced(tautology,[refl,[$fot(op(op(e4,e3),op(e3,e4)))]]) ).
cnf(refute_2_251,plain,
( op(e4,e3) != e3
| op(op(e4,e3),op(e3,e4)) != op(op(e4,e3),op(e3,e4))
| op(op(e4,e3),op(e3,e4)) = op(e3,op(e3,e4)) ),
introduced(tautology,[equality,[$cnf( $equal(op(op(e4,e3),op(e3,e4)),op(op(e4,e3),op(e3,e4))) ),[1,0],$fot(e3)]]) ).
cnf(refute_2_252,plain,
( op(e4,e3) != e3
| op(op(e4,e3),op(e3,e4)) = op(e3,op(e3,e4)) ),
inference(resolve,[$cnf( $equal(op(op(e4,e3),op(e3,e4)),op(op(e4,e3),op(e3,e4))) )],[refute_2_250,refute_2_251]) ).
cnf(refute_2_253,plain,
op(op(e4,e3),op(e3,e4)) = op(e3,op(e3,e4)),
inference(resolve,[$cnf( $equal(op(e4,e3),e3) )],[refute_2_217,refute_2_252]) ).
cnf(refute_2_254,plain,
( op(op(e4,e3),op(e3,e4)) != e3
| op(op(e4,e3),op(e3,e4)) != op(e3,op(e3,e4))
| op(e3,op(e3,e4)) = e3 ),
introduced(tautology,[equality,[$cnf( $equal(op(op(e4,e3),op(e3,e4)),e3) ),[0],$fot(op(e3,op(e3,e4)))]]) ).
cnf(refute_2_255,plain,
( op(op(e4,e3),op(e3,e4)) != e3
| op(e3,op(e3,e4)) = e3 ),
inference(resolve,[$cnf( $equal(op(op(e4,e3),op(e3,e4)),op(e3,op(e3,e4))) )],[refute_2_253,refute_2_254]) ).
cnf(refute_2_256,plain,
op(e3,op(e3,e4)) = e3,
inference(resolve,[$cnf( $equal(op(op(e4,e3),op(e3,e4)),e3) )],[refute_2_249,refute_2_255]) ).
cnf(refute_2_257,plain,
( op(e3,e4) = e0
| op(e3,e4) = e1
| op(e3,e4) = e2
| op(e3,e4) = e3
| op(e3,e4) = e4 ),
inference(canonicalize,[],[normalize_2_40]) ).
cnf(refute_2_258,plain,
op(e3,e4) != op(e4,e4),
inference(canonicalize,[],[normalize_2_41]) ).
cnf(refute_2_259,plain,
( op(e3,e4) != e1
| op(e4,e4) != e1
| op(e3,e4) = op(e4,e4) ),
introduced(tautology,[equality,[$cnf( ~ $equal(op(e3,e4),op(e4,e4)) ),[1],$fot(e1)]]) ).
cnf(refute_2_260,plain,
( op(e3,e4) != e1
| op(e3,e4) = op(e4,e4) ),
inference(resolve,[$cnf( $equal(op(e4,e4),e1) )],[refute_2_8,refute_2_259]) ).
cnf(refute_2_261,plain,
op(e3,e4) != e1,
inference(resolve,[$cnf( $equal(op(e3,e4),op(e4,e4)) )],[refute_2_260,refute_2_258]) ).
cnf(refute_2_262,plain,
( op(e3,e4) = e0
| op(e3,e4) = e2
| op(e3,e4) = e3
| op(e3,e4) = e4 ),
inference(resolve,[$cnf( $equal(op(e3,e4),e1) )],[refute_2_257,refute_2_261]) ).
cnf(refute_2_263,plain,
op(e3,e3) != op(e3,e4),
inference(canonicalize,[],[normalize_2_42]) ).
cnf(refute_2_264,plain,
( e0 != op(e3,e4)
| op(e3,e3) != e0
| op(e3,e3) = op(e3,e4) ),
introduced(tautology,[equality,[$cnf( $equal(op(e3,e3),e0) ),[1],$fot(op(e3,e4))]]) ).
cnf(refute_2_265,plain,
( e0 != op(e3,e4)
| op(e3,e3) = op(e3,e4) ),
inference(resolve,[$cnf( $equal(op(e3,e3),e0) )],[refute_2_187,refute_2_264]) ).
cnf(refute_2_266,plain,
e0 != op(e3,e4),
inference(resolve,[$cnf( $equal(op(e3,e3),op(e3,e4)) )],[refute_2_265,refute_2_263]) ).
cnf(refute_2_267,plain,
( op(e3,e4) != e0
| e0 = op(e3,e4) ),
inference(subst,[],[refute_2_6:[bind(X,$fot(op(e3,e4))),bind(Y,$fot(e0))]]) ).
cnf(refute_2_268,plain,
op(e3,e4) != e0,
inference(resolve,[$cnf( $equal(e0,op(e3,e4)) )],[refute_2_267,refute_2_266]) ).
cnf(refute_2_269,plain,
( op(e3,e4) = e2
| op(e3,e4) = e3
| op(e3,e4) = e4 ),
inference(resolve,[$cnf( $equal(op(e3,e4),e0) )],[refute_2_262,refute_2_268]) ).
cnf(refute_2_270,plain,
op(e1,e4) != op(e3,e4),
inference(canonicalize,[],[normalize_2_43]) ).
cnf(refute_2_271,plain,
( e3 != op(e3,e4)
| op(e1,e4) != e3
| op(e1,e4) = op(e3,e4) ),
introduced(tautology,[equality,[$cnf( $equal(op(e1,e4),e3) ),[1],$fot(op(e3,e4))]]) ).
cnf(refute_2_272,plain,
( e3 != op(e3,e4)
| op(e1,e4) = op(e3,e4) ),
inference(resolve,[$cnf( $equal(op(e1,e4),e3) )],[refute_2_229,refute_2_271]) ).
cnf(refute_2_273,plain,
e3 != op(e3,e4),
inference(resolve,[$cnf( $equal(op(e1,e4),op(e3,e4)) )],[refute_2_272,refute_2_270]) ).
cnf(refute_2_274,plain,
( op(e3,e4) != e3
| e3 = op(e3,e4) ),
inference(subst,[],[refute_2_6:[bind(X,$fot(op(e3,e4))),bind(Y,$fot(e3))]]) ).
cnf(refute_2_275,plain,
op(e3,e4) != e3,
inference(resolve,[$cnf( $equal(e3,op(e3,e4)) )],[refute_2_274,refute_2_273]) ).
cnf(refute_2_276,plain,
( op(e3,e4) = e2
| op(e3,e4) = e4 ),
inference(resolve,[$cnf( $equal(op(e3,e4),e3) )],[refute_2_269,refute_2_275]) ).
cnf(refute_2_277,plain,
op(e0,e4) != op(e3,e4),
inference(canonicalize,[],[normalize_2_44]) ).
cnf(refute_2_278,plain,
( e4 != op(e3,e4)
| op(e0,e4) != e4
| op(e0,e4) = op(e3,e4) ),
introduced(tautology,[equality,[$cnf( $equal(op(e0,e4),e4) ),[1],$fot(op(e3,e4))]]) ).
cnf(refute_2_279,plain,
( e4 != op(e3,e4)
| op(e0,e4) = op(e3,e4) ),
inference(resolve,[$cnf( $equal(op(e0,e4),e4) )],[refute_2_123,refute_2_278]) ).
cnf(refute_2_280,plain,
e4 != op(e3,e4),
inference(resolve,[$cnf( $equal(op(e0,e4),op(e3,e4)) )],[refute_2_279,refute_2_277]) ).
cnf(refute_2_281,plain,
( op(e3,e4) != e4
| e4 = op(e3,e4) ),
inference(subst,[],[refute_2_6:[bind(X,$fot(op(e3,e4))),bind(Y,$fot(e4))]]) ).
cnf(refute_2_282,plain,
op(e3,e4) != e4,
inference(resolve,[$cnf( $equal(e4,op(e3,e4)) )],[refute_2_281,refute_2_280]) ).
cnf(refute_2_283,plain,
op(e3,e4) = e2,
inference(resolve,[$cnf( $equal(op(e3,e4),e4) )],[refute_2_276,refute_2_282]) ).
cnf(refute_2_284,plain,
op(e3,op(e3,e4)) = op(e3,op(e3,e4)),
introduced(tautology,[refl,[$fot(op(e3,op(e3,e4)))]]) ).
cnf(refute_2_285,plain,
( op(e3,e4) != e2
| op(e3,op(e3,e4)) != op(e3,op(e3,e4))
| op(e3,op(e3,e4)) = op(e3,e2) ),
introduced(tautology,[equality,[$cnf( $equal(op(e3,op(e3,e4)),op(e3,op(e3,e4))) ),[1,1],$fot(e2)]]) ).
cnf(refute_2_286,plain,
( op(e3,e4) != e2
| op(e3,op(e3,e4)) = op(e3,e2) ),
inference(resolve,[$cnf( $equal(op(e3,op(e3,e4)),op(e3,op(e3,e4))) )],[refute_2_284,refute_2_285]) ).
cnf(refute_2_287,plain,
op(e3,op(e3,e4)) = op(e3,e2),
inference(resolve,[$cnf( $equal(op(e3,e4),e2) )],[refute_2_283,refute_2_286]) ).
cnf(refute_2_288,plain,
( op(e3,op(e3,e4)) != e3
| op(e3,op(e3,e4)) != op(e3,e2)
| op(e3,e2) = e3 ),
introduced(tautology,[equality,[$cnf( $equal(op(e3,op(e3,e4)),e3) ),[0],$fot(op(e3,e2))]]) ).
cnf(refute_2_289,plain,
( op(e3,op(e3,e4)) != e3
| op(e3,e2) = e3 ),
inference(resolve,[$cnf( $equal(op(e3,op(e3,e4)),op(e3,e2)) )],[refute_2_287,refute_2_288]) ).
cnf(refute_2_290,plain,
op(e3,e2) = e3,
inference(resolve,[$cnf( $equal(op(e3,op(e3,e4)),e3) )],[refute_2_256,refute_2_289]) ).
cnf(refute_2_291,plain,
( op(e3,e2) != e1
| op(e3,e2) != e3
| e3 = e1 ),
introduced(tautology,[equality,[$cnf( $equal(op(e3,e2),e1) ),[0],$fot(e3)]]) ).
cnf(refute_2_292,plain,
( op(e3,e2) != e1
| e3 = e1 ),
inference(resolve,[$cnf( $equal(op(e3,e2),e3) )],[refute_2_290,refute_2_291]) ).
cnf(refute_2_293,plain,
( e0 = e1
| e3 = e1
| op(e1,e2) = e1
| op(e2,e2) = e1 ),
inference(resolve,[$cnf( $equal(op(e3,e2),e1) )],[refute_2_248,refute_2_292]) ).
cnf(refute_2_294,plain,
( e3 = e1
| op(e1,e2) = e1
| op(e2,e2) = e1 ),
inference(resolve,[$cnf( $equal(e0,e1) )],[refute_2_293,refute_2_155]) ).
cnf(refute_2_295,plain,
( e3 != e1
| e1 = e3 ),
inference(subst,[],[refute_2_6:[bind(X,$fot(e3)),bind(Y,$fot(e1))]]) ).
cnf(refute_2_296,plain,
e3 != e1,
inference(resolve,[$cnf( $equal(e1,e3) )],[refute_2_295,refute_2_91]) ).
cnf(refute_2_297,plain,
( op(e1,e2) = e1
| op(e2,e2) = e1 ),
inference(resolve,[$cnf( $equal(e3,e1) )],[refute_2_294,refute_2_296]) ).
cnf(refute_2_298,plain,
op(e2,e0) != op(e2,e2),
inference(canonicalize,[],[normalize_2_45]) ).
cnf(refute_2_299,plain,
op(op(e0,e1),op(e1,e0)) = e1,
inference(canonicalize,[],[normalize_2_46]) ).
cnf(refute_2_300,plain,
op(op(e0,e1),op(e1,e0)) = op(op(e0,e1),op(e1,e0)),
introduced(tautology,[refl,[$fot(op(op(e0,e1),op(e1,e0)))]]) ).
cnf(refute_2_301,plain,
( op(e0,e1) != e2
| op(op(e0,e1),op(e1,e0)) != op(op(e0,e1),op(e1,e0))
| op(op(e0,e1),op(e1,e0)) = op(e2,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(e2)]]) ).
cnf(refute_2_302,plain,
( op(e0,e1) != e2
| op(op(e0,e1),op(e1,e0)) = op(e2,op(e1,e0)) ),
inference(resolve,[$cnf( $equal(op(op(e0,e1),op(e1,e0)),op(op(e0,e1),op(e1,e0))) )],[refute_2_300,refute_2_301]) ).
cnf(refute_2_303,plain,
op(op(e0,e1),op(e1,e0)) = op(e2,op(e1,e0)),
inference(resolve,[$cnf( $equal(op(e0,e1),e2) )],[refute_2_29,refute_2_302]) ).
cnf(refute_2_304,plain,
( op(op(e0,e1),op(e1,e0)) != e1
| op(op(e0,e1),op(e1,e0)) != op(e2,op(e1,e0))
| op(e2,op(e1,e0)) = e1 ),
introduced(tautology,[equality,[$cnf( $equal(op(op(e0,e1),op(e1,e0)),e1) ),[0],$fot(op(e2,op(e1,e0)))]]) ).
cnf(refute_2_305,plain,
( op(op(e0,e1),op(e1,e0)) != e1
| op(e2,op(e1,e0)) = e1 ),
inference(resolve,[$cnf( $equal(op(op(e0,e1),op(e1,e0)),op(e2,op(e1,e0))) )],[refute_2_303,refute_2_304]) ).
cnf(refute_2_306,plain,
op(e2,op(e1,e0)) = e1,
inference(resolve,[$cnf( $equal(op(op(e0,e1),op(e1,e0)),e1) )],[refute_2_299,refute_2_305]) ).
cnf(refute_2_307,plain,
op(op(e2,e0),op(e0,e2)) = e0,
inference(canonicalize,[],[normalize_2_47]) ).
cnf(refute_2_308,plain,
op(op(e2,e0),op(e0,e2)) = op(op(e2,e0),op(e0,e2)),
introduced(tautology,[refl,[$fot(op(op(e2,e0),op(e0,e2)))]]) ).
cnf(refute_2_309,plain,
( op(e0,e2) != e0
| op(op(e2,e0),op(e0,e2)) != op(op(e2,e0),op(e0,e2))
| op(op(e2,e0),op(e0,e2)) = op(op(e2,e0),e0) ),
introduced(tautology,[equality,[$cnf( $equal(op(op(e2,e0),op(e0,e2)),op(op(e2,e0),op(e0,e2))) ),[1,1],$fot(e0)]]) ).
cnf(refute_2_310,plain,
( op(e0,e2) != e0
| op(op(e2,e0),op(e0,e2)) = op(op(e2,e0),e0) ),
inference(resolve,[$cnf( $equal(op(op(e2,e0),op(e0,e2)),op(op(e2,e0),op(e0,e2))) )],[refute_2_308,refute_2_309]) ).
cnf(refute_2_311,plain,
op(op(e2,e0),op(e0,e2)) = op(op(e2,e0),e0),
inference(resolve,[$cnf( $equal(op(e0,e2),e0) )],[refute_2_245,refute_2_310]) ).
cnf(refute_2_312,plain,
( op(op(e2,e0),op(e0,e2)) != e0
| op(op(e2,e0),op(e0,e2)) != op(op(e2,e0),e0)
| op(op(e2,e0),e0) = e0 ),
introduced(tautology,[equality,[$cnf( $equal(op(op(e2,e0),op(e0,e2)),e0) ),[0],$fot(op(op(e2,e0),e0))]]) ).
cnf(refute_2_313,plain,
( op(op(e2,e0),op(e0,e2)) != e0
| op(op(e2,e0),e0) = e0 ),
inference(resolve,[$cnf( $equal(op(op(e2,e0),op(e0,e2)),op(op(e2,e0),e0)) )],[refute_2_311,refute_2_312]) ).
cnf(refute_2_314,plain,
op(op(e2,e0),e0) = e0,
inference(resolve,[$cnf( $equal(op(op(e2,e0),op(e0,e2)),e0) )],[refute_2_307,refute_2_313]) ).
cnf(refute_2_315,plain,
( op(e0,e0) = e1
| op(e1,e0) = e1
| op(e2,e0) = e1
| op(e3,e0) = e1
| op(e4,e0) = e1 ),
inference(canonicalize,[],[normalize_2_48]) ).
cnf(refute_2_316,plain,
( op(e0,e0) != e1
| op(e0,e0) != e3
| e3 = e1 ),
introduced(tautology,[equality,[$cnf( $equal(op(e0,e0),e1) ),[0],$fot(e3)]]) ).
cnf(refute_2_317,plain,
( op(e0,e0) != e1
| e3 = e1 ),
inference(resolve,[$cnf( $equal(op(e0,e0),e3) )],[refute_2_61,refute_2_316]) ).
cnf(refute_2_318,plain,
( e3 = e1
| op(e1,e0) = e1
| op(e2,e0) = e1
| op(e3,e0) = e1
| op(e4,e0) = e1 ),
inference(resolve,[$cnf( $equal(op(e0,e0),e1) )],[refute_2_315,refute_2_317]) ).
cnf(refute_2_319,plain,
( op(e1,e0) = e1
| op(e2,e0) = e1
| op(e3,e0) = e1
| op(e4,e0) = e1 ),
inference(resolve,[$cnf( $equal(e3,e1) )],[refute_2_318,refute_2_296]) ).
cnf(refute_2_320,plain,
( op(e1,e0) = e1
| op(e2,e0) = e1
| op(e3,e0) = e1 ),
inference(resolve,[$cnf( $equal(op(e4,e0),e1) )],[refute_2_319,refute_2_135]) ).
cnf(refute_2_321,plain,
op(op(e1,e4),op(e4,e1)) = e4,
inference(canonicalize,[],[normalize_2_49]) ).
cnf(refute_2_322,plain,
op(op(e1,e4),op(e4,e1)) = op(op(e1,e4),op(e4,e1)),
introduced(tautology,[refl,[$fot(op(op(e1,e4),op(e4,e1)))]]) ).
cnf(refute_2_323,plain,
( op(e4,e1) != e0
| op(op(e1,e4),op(e4,e1)) != op(op(e1,e4),op(e4,e1))
| op(op(e1,e4),op(e4,e1)) = op(op(e1,e4),e0) ),
introduced(tautology,[equality,[$cnf( $equal(op(op(e1,e4),op(e4,e1)),op(op(e1,e4),op(e4,e1))) ),[1,1],$fot(e0)]]) ).
cnf(refute_2_324,plain,
( op(e4,e1) != e0
| op(op(e1,e4),op(e4,e1)) = op(op(e1,e4),e0) ),
inference(resolve,[$cnf( $equal(op(op(e1,e4),op(e4,e1)),op(op(e1,e4),op(e4,e1))) )],[refute_2_322,refute_2_323]) ).
cnf(refute_2_325,plain,
op(op(e1,e4),op(e4,e1)) = op(op(e1,e4),e0),
inference(resolve,[$cnf( $equal(op(e4,e1),e0) )],[refute_2_78,refute_2_324]) ).
cnf(refute_2_326,plain,
( op(op(e1,e4),op(e4,e1)) != e4
| op(op(e1,e4),op(e4,e1)) != op(op(e1,e4),e0)
| op(op(e1,e4),e0) = e4 ),
introduced(tautology,[equality,[$cnf( $equal(op(op(e1,e4),op(e4,e1)),e4) ),[0],$fot(op(op(e1,e4),e0))]]) ).
cnf(refute_2_327,plain,
( op(op(e1,e4),op(e4,e1)) != e4
| op(op(e1,e4),e0) = e4 ),
inference(resolve,[$cnf( $equal(op(op(e1,e4),op(e4,e1)),op(op(e1,e4),e0)) )],[refute_2_325,refute_2_326]) ).
cnf(refute_2_328,plain,
op(op(e1,e4),e0) = e4,
inference(resolve,[$cnf( $equal(op(op(e1,e4),op(e4,e1)),e4) )],[refute_2_321,refute_2_327]) ).
cnf(refute_2_329,plain,
op(op(e1,e4),e0) = op(op(e1,e4),e0),
introduced(tautology,[refl,[$fot(op(op(e1,e4),e0))]]) ).
cnf(refute_2_330,plain,
( op(e1,e4) != e3
| op(op(e1,e4),e0) != op(op(e1,e4),e0)
| op(op(e1,e4),e0) = op(e3,e0) ),
introduced(tautology,[equality,[$cnf( $equal(op(op(e1,e4),e0),op(op(e1,e4),e0)) ),[1,0],$fot(e3)]]) ).
cnf(refute_2_331,plain,
( op(e1,e4) != e3
| op(op(e1,e4),e0) = op(e3,e0) ),
inference(resolve,[$cnf( $equal(op(op(e1,e4),e0),op(op(e1,e4),e0)) )],[refute_2_329,refute_2_330]) ).
cnf(refute_2_332,plain,
op(op(e1,e4),e0) = op(e3,e0),
inference(resolve,[$cnf( $equal(op(e1,e4),e3) )],[refute_2_229,refute_2_331]) ).
cnf(refute_2_333,plain,
( op(op(e1,e4),e0) != e4
| op(op(e1,e4),e0) != op(e3,e0)
| op(e3,e0) = e4 ),
introduced(tautology,[equality,[$cnf( $equal(op(op(e1,e4),e0),e4) ),[0],$fot(op(e3,e0))]]) ).
cnf(refute_2_334,plain,
( op(op(e1,e4),e0) != e4
| op(e3,e0) = e4 ),
inference(resolve,[$cnf( $equal(op(op(e1,e4),e0),op(e3,e0)) )],[refute_2_332,refute_2_333]) ).
cnf(refute_2_335,plain,
op(e3,e0) = e4,
inference(resolve,[$cnf( $equal(op(op(e1,e4),e0),e4) )],[refute_2_328,refute_2_334]) ).
cnf(refute_2_336,plain,
( op(e3,e0) != e1
| op(e3,e0) != e4
| e4 = e1 ),
introduced(tautology,[equality,[$cnf( $equal(op(e3,e0),e1) ),[0],$fot(e4)]]) ).
cnf(refute_2_337,plain,
( op(e3,e0) != e1
| e4 = e1 ),
inference(resolve,[$cnf( $equal(op(e3,e0),e4) )],[refute_2_335,refute_2_336]) ).
cnf(refute_2_338,plain,
( e4 = e1
| op(e1,e0) = e1
| op(e2,e0) = e1 ),
inference(resolve,[$cnf( $equal(op(e3,e0),e1) )],[refute_2_320,refute_2_337]) ).
cnf(refute_2_339,plain,
op(e0,e4) != op(e4,e4),
inference(canonicalize,[],[normalize_2_50]) ).
cnf(refute_2_340,plain,
( op(e0,e4) != e1
| op(e4,e4) != e1
| op(e0,e4) = op(e4,e4) ),
introduced(tautology,[equality,[$cnf( ~ $equal(op(e0,e4),op(e4,e4)) ),[1],$fot(e1)]]) ).
cnf(refute_2_341,plain,
( op(e0,e4) != e1
| op(e0,e4) = op(e4,e4) ),
inference(resolve,[$cnf( $equal(op(e4,e4),e1) )],[refute_2_8,refute_2_340]) ).
cnf(refute_2_342,plain,
op(e0,e4) != e1,
inference(resolve,[$cnf( $equal(op(e0,e4),op(e4,e4)) )],[refute_2_341,refute_2_339]) ).
cnf(refute_2_343,plain,
( e4 != e1
| op(e0,e4) != e4
| op(e0,e4) = e1 ),
introduced(tautology,[equality,[$cnf( $equal(op(e0,e4),e4) ),[1],$fot(e1)]]) ).
cnf(refute_2_344,plain,
( e4 != e1
| op(e0,e4) = e1 ),
inference(resolve,[$cnf( $equal(op(e0,e4),e4) )],[refute_2_123,refute_2_343]) ).
cnf(refute_2_345,plain,
e4 != e1,
inference(resolve,[$cnf( $equal(op(e0,e4),e1) )],[refute_2_344,refute_2_342]) ).
cnf(refute_2_346,plain,
( op(e1,e0) = e1
| op(e2,e0) = e1 ),
inference(resolve,[$cnf( $equal(e4,e1) )],[refute_2_338,refute_2_345]) ).
cnf(refute_2_347,plain,
( op(e2,e0) != e1
| op(op(e2,e0),e0) != e0
| op(e1,e0) = e0 ),
introduced(tautology,[equality,[$cnf( $equal(op(op(e2,e0),e0),e0) ),[0,0],$fot(e1)]]) ).
cnf(refute_2_348,plain,
( op(op(e2,e0),e0) != e0
| op(e1,e0) = e0
| op(e1,e0) = e1 ),
inference(resolve,[$cnf( $equal(op(e2,e0),e1) )],[refute_2_346,refute_2_347]) ).
cnf(refute_2_349,plain,
( op(e1,e0) = e0
| op(e1,e0) = e1 ),
inference(resolve,[$cnf( $equal(op(op(e2,e0),e0),e0) )],[refute_2_314,refute_2_348]) ).
cnf(refute_2_350,plain,
( op(e1,e0) != e1
| op(e2,op(e1,e0)) != e1
| op(e2,e1) = e1 ),
introduced(tautology,[equality,[$cnf( $equal(op(e2,op(e1,e0)),e1) ),[0,1],$fot(e1)]]) ).
cnf(refute_2_351,plain,
( op(e2,op(e1,e0)) != e1
| op(e1,e0) = e0
| op(e2,e1) = e1 ),
inference(resolve,[$cnf( $equal(op(e1,e0),e1) )],[refute_2_349,refute_2_350]) ).
cnf(refute_2_352,plain,
( op(e1,e0) = e0
| op(e2,e1) = e1 ),
inference(resolve,[$cnf( $equal(op(e2,op(e1,e0)),e1) )],[refute_2_306,refute_2_351]) ).
cnf(refute_2_353,plain,
( op(e2,e1) = e0
| op(e2,e1) = e1
| op(e2,e1) = e2
| op(e2,e1) = e3
| op(e2,e1) = e4 ),
inference(canonicalize,[],[normalize_2_51]) ).
cnf(refute_2_354,plain,
op(e0,e1) != op(e2,e1),
inference(canonicalize,[],[normalize_2_52]) ).
cnf(refute_2_355,plain,
( e2 != op(e2,e1)
| op(e0,e1) != e2
| op(e0,e1) = op(e2,e1) ),
introduced(tautology,[equality,[$cnf( $equal(op(e0,e1),e2) ),[1],$fot(op(e2,e1))]]) ).
cnf(refute_2_356,plain,
( e2 != op(e2,e1)
| op(e0,e1) = op(e2,e1) ),
inference(resolve,[$cnf( $equal(op(e0,e1),e2) )],[refute_2_29,refute_2_355]) ).
cnf(refute_2_357,plain,
e2 != op(e2,e1),
inference(resolve,[$cnf( $equal(op(e0,e1),op(e2,e1)) )],[refute_2_356,refute_2_354]) ).
cnf(refute_2_358,plain,
( op(e2,e1) != e2
| e2 = op(e2,e1) ),
inference(subst,[],[refute_2_6:[bind(X,$fot(op(e2,e1))),bind(Y,$fot(e2))]]) ).
cnf(refute_2_359,plain,
op(e2,e1) != e2,
inference(resolve,[$cnf( $equal(e2,op(e2,e1)) )],[refute_2_358,refute_2_357]) ).
cnf(refute_2_360,plain,
( op(e2,e1) = e0
| op(e2,e1) = e1
| op(e2,e1) = e3
| op(e2,e1) = e4 ),
inference(resolve,[$cnf( $equal(op(e2,e1),e2) )],[refute_2_353,refute_2_359]) ).
cnf(refute_2_361,plain,
op(e2,e1) != op(e4,e1),
inference(canonicalize,[],[normalize_2_53]) ).
cnf(refute_2_362,plain,
( op(e2,e1) != e0
| op(e4,e1) != e0
| op(e2,e1) = op(e4,e1) ),
introduced(tautology,[equality,[$cnf( ~ $equal(op(e2,e1),op(e4,e1)) ),[1],$fot(e0)]]) ).
cnf(refute_2_363,plain,
( op(e2,e1) != e0
| op(e2,e1) = op(e4,e1) ),
inference(resolve,[$cnf( $equal(op(e4,e1),e0) )],[refute_2_78,refute_2_362]) ).
cnf(refute_2_364,plain,
op(e2,e1) != e0,
inference(resolve,[$cnf( $equal(op(e2,e1),op(e4,e1)) )],[refute_2_363,refute_2_361]) ).
cnf(refute_2_365,plain,
( op(e2,e1) = e1
| op(e2,e1) = e3
| op(e2,e1) = e4 ),
inference(resolve,[$cnf( $equal(op(e2,e1),e0) )],[refute_2_360,refute_2_364]) ).
cnf(refute_2_366,plain,
op(e2,e1) != e1,
inference(canonicalize,[],[normalize_2_54]) ).
cnf(refute_2_367,plain,
( op(e2,e1) = e3
| op(e2,e1) = e4 ),
inference(resolve,[$cnf( $equal(op(e2,e1),e1) )],[refute_2_365,refute_2_366]) ).
cnf(refute_2_368,plain,
op(e1,e1) != op(e2,e1),
inference(canonicalize,[],[normalize_2_55]) ).
cnf(refute_2_369,plain,
op(op(e4,e4),op(e4,e4)) = e4,
inference(canonicalize,[],[normalize_2_56]) ).
cnf(refute_2_370,plain,
op(e1,op(e4,e4)) = op(e1,op(e4,e4)),
introduced(tautology,[refl,[$fot(op(e1,op(e4,e4)))]]) ).
cnf(refute_2_371,plain,
( op(e1,op(e4,e4)) != op(e1,op(e4,e4))
| op(e4,e4) != e1
| op(e1,op(e4,e4)) = op(e1,e1) ),
introduced(tautology,[equality,[$cnf( $equal(op(e1,op(e4,e4)),op(e1,op(e4,e4))) ),[1,1],$fot(e1)]]) ).
cnf(refute_2_372,plain,
( op(e4,e4) != e1
| op(e1,op(e4,e4)) = op(e1,e1) ),
inference(resolve,[$cnf( $equal(op(e1,op(e4,e4)),op(e1,op(e4,e4))) )],[refute_2_370,refute_2_371]) ).
cnf(refute_2_373,plain,
op(e1,op(e4,e4)) = op(e1,e1),
inference(resolve,[$cnf( $equal(op(e4,e4),e1) )],[refute_2_8,refute_2_372]) ).
cnf(refute_2_374,plain,
op(op(e4,e4),op(e4,e4)) = op(op(e4,e4),op(e4,e4)),
introduced(tautology,[refl,[$fot(op(op(e4,e4),op(e4,e4)))]]) ).
cnf(refute_2_375,plain,
( op(e4,e4) != e1
| op(op(e4,e4),op(e4,e4)) != op(op(e4,e4),op(e4,e4))
| op(op(e4,e4),op(e4,e4)) = op(e1,op(e4,e4)) ),
introduced(tautology,[equality,[$cnf( $equal(op(op(e4,e4),op(e4,e4)),op(op(e4,e4),op(e4,e4))) ),[1,0],$fot(e1)]]) ).
cnf(refute_2_376,plain,
( op(e4,e4) != e1
| op(op(e4,e4),op(e4,e4)) = op(e1,op(e4,e4)) ),
inference(resolve,[$cnf( $equal(op(op(e4,e4),op(e4,e4)),op(op(e4,e4),op(e4,e4))) )],[refute_2_374,refute_2_375]) ).
cnf(refute_2_377,plain,
op(op(e4,e4),op(e4,e4)) = op(e1,op(e4,e4)),
inference(resolve,[$cnf( $equal(op(e4,e4),e1) )],[refute_2_8,refute_2_376]) ).
cnf(refute_2_378,plain,
( op(e1,op(e4,e4)) != op(e1,e1)
| op(op(e4,e4),op(e4,e4)) != op(e1,op(e4,e4))
| op(op(e4,e4),op(e4,e4)) = op(e1,e1) ),
inference(subst,[],[refute_2_21:[bind(X,$fot(op(op(e4,e4),op(e4,e4)))),bind(Y,$fot(op(e1,op(e4,e4)))),bind(Z,$fot(op(e1,e1)))]]) ).
cnf(refute_2_379,plain,
( op(e1,op(e4,e4)) != op(e1,e1)
| op(op(e4,e4),op(e4,e4)) = op(e1,e1) ),
inference(resolve,[$cnf( $equal(op(op(e4,e4),op(e4,e4)),op(e1,op(e4,e4))) )],[refute_2_377,refute_2_378]) ).
cnf(refute_2_380,plain,
op(op(e4,e4),op(e4,e4)) = op(e1,e1),
inference(resolve,[$cnf( $equal(op(e1,op(e4,e4)),op(e1,e1)) )],[refute_2_373,refute_2_379]) ).
cnf(refute_2_381,plain,
( op(op(e4,e4),op(e4,e4)) != e4
| op(op(e4,e4),op(e4,e4)) != op(e1,e1)
| op(e1,e1) = e4 ),
introduced(tautology,[equality,[$cnf( $equal(op(op(e4,e4),op(e4,e4)),e4) ),[0],$fot(op(e1,e1))]]) ).
cnf(refute_2_382,plain,
( op(op(e4,e4),op(e4,e4)) != e4
| op(e1,e1) = e4 ),
inference(resolve,[$cnf( $equal(op(op(e4,e4),op(e4,e4)),op(e1,e1)) )],[refute_2_380,refute_2_381]) ).
cnf(refute_2_383,plain,
op(e1,e1) = e4,
inference(resolve,[$cnf( $equal(op(op(e4,e4),op(e4,e4)),e4) )],[refute_2_369,refute_2_382]) ).
cnf(refute_2_384,plain,
( e4 != op(e2,e1)
| op(e1,e1) != e4
| op(e1,e1) = op(e2,e1) ),
introduced(tautology,[equality,[$cnf( $equal(op(e1,e1),e4) ),[1],$fot(op(e2,e1))]]) ).
cnf(refute_2_385,plain,
( e4 != op(e2,e1)
| op(e1,e1) = op(e2,e1) ),
inference(resolve,[$cnf( $equal(op(e1,e1),e4) )],[refute_2_383,refute_2_384]) ).
cnf(refute_2_386,plain,
e4 != op(e2,e1),
inference(resolve,[$cnf( $equal(op(e1,e1),op(e2,e1)) )],[refute_2_385,refute_2_368]) ).
cnf(refute_2_387,plain,
( op(e2,e1) != e4
| e4 = op(e2,e1) ),
inference(subst,[],[refute_2_6:[bind(X,$fot(op(e2,e1))),bind(Y,$fot(e4))]]) ).
cnf(refute_2_388,plain,
op(e2,e1) != e4,
inference(resolve,[$cnf( $equal(e4,op(e2,e1)) )],[refute_2_387,refute_2_386]) ).
cnf(refute_2_389,plain,
op(e2,e1) = e3,
inference(resolve,[$cnf( $equal(op(e2,e1),e4) )],[refute_2_367,refute_2_388]) ).
cnf(refute_2_390,plain,
( op(e2,e1) != e1
| op(e2,e1) != e3
| e3 = e1 ),
introduced(tautology,[equality,[$cnf( $equal(op(e2,e1),e1) ),[0],$fot(e3)]]) ).
cnf(refute_2_391,plain,
( op(e2,e1) != e1
| e3 = e1 ),
inference(resolve,[$cnf( $equal(op(e2,e1),e3) )],[refute_2_389,refute_2_390]) ).
cnf(refute_2_392,plain,
( e3 = e1
| op(e1,e0) = e0 ),
inference(resolve,[$cnf( $equal(op(e2,e1),e1) )],[refute_2_352,refute_2_391]) ).
cnf(refute_2_393,plain,
op(e1,e0) = e0,
inference(resolve,[$cnf( $equal(e3,e1) )],[refute_2_392,refute_2_296]) ).
cnf(refute_2_394,plain,
op(e2,op(e1,e0)) = op(e2,op(e1,e0)),
introduced(tautology,[refl,[$fot(op(e2,op(e1,e0)))]]) ).
cnf(refute_2_395,plain,
( op(e1,e0) != e0
| op(e2,op(e1,e0)) != op(e2,op(e1,e0))
| op(e2,op(e1,e0)) = op(e2,e0) ),
introduced(tautology,[equality,[$cnf( $equal(op(e2,op(e1,e0)),op(e2,op(e1,e0))) ),[1,1],$fot(e0)]]) ).
cnf(refute_2_396,plain,
( op(e1,e0) != e0
| op(e2,op(e1,e0)) = op(e2,e0) ),
inference(resolve,[$cnf( $equal(op(e2,op(e1,e0)),op(e2,op(e1,e0))) )],[refute_2_394,refute_2_395]) ).
cnf(refute_2_397,plain,
op(e2,op(e1,e0)) = op(e2,e0),
inference(resolve,[$cnf( $equal(op(e1,e0),e0) )],[refute_2_393,refute_2_396]) ).
cnf(refute_2_398,plain,
( op(e2,op(e1,e0)) != e1
| op(e2,op(e1,e0)) != op(e2,e0)
| op(e2,e0) = e1 ),
introduced(tautology,[equality,[$cnf( $equal(op(e2,op(e1,e0)),e1) ),[0],$fot(op(e2,e0))]]) ).
cnf(refute_2_399,plain,
( op(e2,op(e1,e0)) != e1
| op(e2,e0) = e1 ),
inference(resolve,[$cnf( $equal(op(e2,op(e1,e0)),op(e2,e0)) )],[refute_2_397,refute_2_398]) ).
cnf(refute_2_400,plain,
op(e2,e0) = e1,
inference(resolve,[$cnf( $equal(op(e2,op(e1,e0)),e1) )],[refute_2_306,refute_2_399]) ).
cnf(refute_2_401,plain,
( e1 != op(e2,e2)
| op(e2,e0) != e1
| op(e2,e0) = op(e2,e2) ),
introduced(tautology,[equality,[$cnf( $equal(op(e2,e0),e1) ),[1],$fot(op(e2,e2))]]) ).
cnf(refute_2_402,plain,
( e1 != op(e2,e2)
| op(e2,e0) = op(e2,e2) ),
inference(resolve,[$cnf( $equal(op(e2,e0),e1) )],[refute_2_400,refute_2_401]) ).
cnf(refute_2_403,plain,
e1 != op(e2,e2),
inference(resolve,[$cnf( $equal(op(e2,e0),op(e2,e2)) )],[refute_2_402,refute_2_298]) ).
cnf(refute_2_404,plain,
( op(e2,e2) != e1
| e1 = op(e2,e2) ),
inference(subst,[],[refute_2_6:[bind(X,$fot(op(e2,e2))),bind(Y,$fot(e1))]]) ).
cnf(refute_2_405,plain,
op(e2,e2) != e1,
inference(resolve,[$cnf( $equal(e1,op(e2,e2)) )],[refute_2_404,refute_2_403]) ).
cnf(refute_2_406,plain,
op(e1,e2) = e1,
inference(resolve,[$cnf( $equal(op(e2,e2),e1) )],[refute_2_297,refute_2_405]) ).
cnf(refute_2_407,plain,
( op(e1,e2) != e1
| op(e1,e2) != e2
| e1 = e2 ),
introduced(tautology,[equality,[$cnf( $equal(op(e1,e2),e2) ),[0],$fot(e1)]]) ).
cnf(refute_2_408,plain,
( op(e1,e2) != e2
| e1 = e2 ),
inference(resolve,[$cnf( $equal(op(e1,e2),e1) )],[refute_2_406,refute_2_407]) ).
cnf(refute_2_409,plain,
( e1 = e2
| op(e2,e2) = e2
| op(e3,e2) = e2
| op(e4,e2) = e2 ),
inference(resolve,[$cnf( $equal(op(e1,e2),e2) )],[refute_2_35,refute_2_408]) ).
cnf(refute_2_410,plain,
( op(e3,e2) != e2
| op(e3,e2) != e3
| e3 = e2 ),
introduced(tautology,[equality,[$cnf( $equal(op(e3,e2),e2) ),[0],$fot(e3)]]) ).
cnf(refute_2_411,plain,
( op(e3,e2) != e2
| e3 = e2 ),
inference(resolve,[$cnf( $equal(op(e3,e2),e3) )],[refute_2_290,refute_2_410]) ).
cnf(refute_2_412,plain,
( e1 = e2
| e3 = e2
| op(e2,e2) = e2
| op(e4,e2) = e2 ),
inference(resolve,[$cnf( $equal(op(e3,e2),e2) )],[refute_2_409,refute_2_411]) ).
cnf(refute_2_413,plain,
( op(e4,e2) != e2
| op(e4,e2) != e4
| e4 = e2 ),
introduced(tautology,[equality,[$cnf( $equal(op(e4,e2),e2) ),[0],$fot(e4)]]) ).
cnf(refute_2_414,plain,
( op(e4,e2) != e2
| e4 = e2 ),
inference(resolve,[$cnf( $equal(op(e4,e2),e4) )],[refute_2_209,refute_2_413]) ).
cnf(refute_2_415,plain,
( e1 = e2
| e3 = e2
| e4 = e2
| op(e2,e2) = e2 ),
inference(resolve,[$cnf( $equal(op(e4,e2),e2) )],[refute_2_412,refute_2_414]) ).
cnf(refute_2_416,plain,
( e3 = e2
| e4 = e2
| op(e2,e2) = e2 ),
inference(resolve,[$cnf( $equal(e1,e2) )],[refute_2_415,refute_2_108]) ).
cnf(refute_2_417,plain,
op(e0,e0) != op(e0,e1),
inference(canonicalize,[],[normalize_2_57]) ).
cnf(refute_2_418,plain,
( e3 != op(e0,e1)
| op(e0,e0) != e3
| op(e0,e0) = op(e0,e1) ),
introduced(tautology,[equality,[$cnf( $equal(op(e0,e0),e3) ),[1],$fot(op(e0,e1))]]) ).
cnf(refute_2_419,plain,
( e3 != op(e0,e1)
| op(e0,e0) = op(e0,e1) ),
inference(resolve,[$cnf( $equal(op(e0,e0),e3) )],[refute_2_61,refute_2_418]) ).
cnf(refute_2_420,plain,
( e3 != e2
| op(e0,e1) != e2
| e3 = op(e0,e1) ),
introduced(tautology,[equality,[$cnf( ~ $equal(e3,op(e0,e1)) ),[1],$fot(e2)]]) ).
cnf(refute_2_421,plain,
( e3 != e2
| e3 = op(e0,e1) ),
inference(resolve,[$cnf( $equal(op(e0,e1),e2) )],[refute_2_29,refute_2_420]) ).
cnf(refute_2_422,plain,
( e3 != e2
| op(e0,e0) = op(e0,e1) ),
inference(resolve,[$cnf( $equal(e3,op(e0,e1)) )],[refute_2_421,refute_2_419]) ).
cnf(refute_2_423,plain,
e3 != e2,
inference(resolve,[$cnf( $equal(op(e0,e0),op(e0,e1)) )],[refute_2_422,refute_2_417]) ).
cnf(refute_2_424,plain,
( e4 = e2
| op(e2,e2) = e2 ),
inference(resolve,[$cnf( $equal(e3,e2) )],[refute_2_416,refute_2_423]) ).
cnf(refute_2_425,plain,
e2 != e4,
inference(canonicalize,[],[normalize_2_58]) ).
cnf(refute_2_426,plain,
( e4 != e2
| e2 = e4 ),
inference(subst,[],[refute_2_6:[bind(X,$fot(e4)),bind(Y,$fot(e2))]]) ).
cnf(refute_2_427,plain,
e4 != e2,
inference(resolve,[$cnf( $equal(e2,e4) )],[refute_2_426,refute_2_425]) ).
cnf(refute_2_428,plain,
op(e2,e2) = e2,
inference(resolve,[$cnf( $equal(e4,e2) )],[refute_2_424,refute_2_427]) ).
cnf(refute_2_429,plain,
op(e2,e2) != e2,
inference(canonicalize,[],[normalize_2_59]) ).
cnf(refute_2_430,plain,
$false,
inference(resolve,[$cnf( $equal(op(e2,e2),e2) )],[refute_2_428,refute_2_429]) ).
fof(negate_3_0,plain,
~ ( ( ( ( op(e0,e0) != e0
& op(e1,e0) != e1
& op(e2,e0) != e2
& op(e3,e0) != e3
& op(e4,e0) != e4 )
| ( op(e0,e1) != e0
& op(e1,e1) != e1
& op(e2,e1) != e2
& op(e3,e1) != e3
& op(e4,e1) != e4 )
| ( op(e0,e2) != e0
& op(e1,e2) != e1
& op(e2,e2) != e2
& op(e3,e2) != e3
& op(e4,e2) != e4 )
| ( op(e0,e3) != e0
& op(e1,e3) != e1
& op(e2,e3) != e2
& op(e3,e3) != e3
& op(e4,e3) != e4 )
| ( op(e0,e4) != e0
& op(e1,e4) != e1
& op(e2,e4) != e2
& op(e3,e4) != e3
& op(e4,e4) != e4 ) )
& ~ ( op(e0,e0) != e0
& op(e0,e1) != e1
& op(e0,e2) != e2
& op(e0,e3) != e3
& op(e0,e4) != e4 )
& ~ ( op(e1,e0) != e0
& op(e1,e1) != e1
& op(e1,e2) != e2
& op(e1,e3) != e3
& op(e1,e4) != e4 )
& ~ ( op(e2,e0) != e0
& op(e2,e1) != e1
& op(e2,e2) != e2
& op(e2,e3) != e3
& op(e2,e4) != e4 )
& op(e3,e0) != e0
& op(e3,e1) != e1
& op(e3,e2) != e2
& op(e3,e3) != e3 )
=> op(e3,e4) = e4 ),
inference(negate,[],[subgoal_3]) ).
fof(normalize_3_0,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_3_1,plain,
( op(e0,e1) = e1
| op(e1,e1) = e1
| op(e2,e1) = e1
| op(e3,e1) = e1
| op(e4,e1) = e1 ),
inference(conjunct,[],[normalize_3_0]) ).
fof(normalize_3_2,plain,
( e0 = op(e4,op(e4,e4))
& e1 = op(e4,e4)
& e2 = op(op(e4,op(e4,e4)),op(e4,e4))
& e3 = op(op(e4,op(e4,e4)),op(e4,op(e4,e4))) ),
inference(canonicalize,[],[ax6]) ).
fof(normalize_3_3,plain,
e2 = op(op(e4,op(e4,e4)),op(e4,e4)),
inference(conjunct,[],[normalize_3_2]) ).
fof(normalize_3_4,plain,
e1 = op(e4,e4),
inference(conjunct,[],[normalize_3_2]) ).
fof(normalize_3_5,plain,
e0 = op(e4,op(e4,e4)),
inference(conjunct,[],[normalize_3_2]) ).
fof(normalize_3_6,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_3_7,plain,
e1 != e2,
inference(conjunct,[],[normalize_3_6]) ).
fof(normalize_3_8,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_3_9,plain,
op(e4,e1) != op(e4,e4),
inference(conjunct,[],[normalize_3_8]) ).
fof(normalize_3_10,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_3_11,plain,
op(op(e4,e4),op(e4,e4)) = e4,
inference(conjunct,[],[normalize_3_10]) ).
fof(normalize_3_12,plain,
op(e2,e0) != op(e2,e1),
inference(conjunct,[],[normalize_3_8]) ).
fof(normalize_3_13,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_3_14,plain,
( op(e2,e1) = e0
| op(e2,e1) = e1
| op(e2,e1) = e2
| op(e2,e1) = e3
| op(e2,e1) = e4 ),
inference(conjunct,[],[normalize_3_13]) ).
fof(normalize_3_15,plain,
op(e0,e1) != op(e2,e1),
inference(conjunct,[],[normalize_3_8]) ).
fof(normalize_3_16,plain,
op(e2,e1) != op(e4,e1),
inference(conjunct,[],[normalize_3_8]) ).
fof(normalize_3_17,plain,
op(e1,e1) != op(e2,e1),
inference(conjunct,[],[normalize_3_8]) ).
fof(normalize_3_18,plain,
op(op(e0,e1),op(e1,e0)) = e1,
inference(conjunct,[],[normalize_3_10]) ).
fof(normalize_3_19,plain,
op(e0,e2) != op(e1,e2),
inference(conjunct,[],[normalize_3_8]) ).
fof(normalize_3_20,plain,
( op(e0,e2) = e0
| op(e0,e2) = e1
| op(e0,e2) = e2
| op(e0,e2) = e3
| op(e0,e2) = e4 ),
inference(conjunct,[],[normalize_3_13]) ).
fof(normalize_3_21,plain,
op(e0,e1) != op(e0,e2),
inference(conjunct,[],[normalize_3_8]) ).
fof(normalize_3_22,plain,
op(e0,e0) != op(e0,e2),
inference(conjunct,[],[normalize_3_8]) ).
fof(normalize_3_23,plain,
e3 = op(op(e4,op(e4,e4)),op(e4,op(e4,e4))),
inference(conjunct,[],[normalize_3_2]) ).
fof(normalize_3_24,plain,
op(e0,e2) != op(e0,e4),
inference(conjunct,[],[normalize_3_8]) ).
fof(normalize_3_25,plain,
( op(e3,e0) != e0
& op(e3,e1) != e1
& op(e3,e2) != e2
& op(e3,e3) != e3
& op(e3,e4) != e4
& ( op(e0,e0) = e0
| op(e0,e1) = e1
| op(e0,e2) = e2
| op(e0,e3) = e3
| op(e0,e4) = e4 )
& ( op(e1,e0) = e0
| op(e1,e1) = e1
| op(e1,e2) = e2
| op(e1,e3) = e3
| op(e1,e4) = e4 )
& ( op(e2,e0) = e0
| op(e2,e1) = e1
| op(e2,e2) = e2
| op(e2,e3) = e3
| op(e2,e4) = e4 )
& ( ( op(e0,e0) != e0
& op(e1,e0) != e1
& op(e2,e0) != e2
& op(e3,e0) != e3
& op(e4,e0) != e4 )
| ( op(e0,e1) != e0
& op(e1,e1) != e1
& op(e2,e1) != e2
& op(e3,e1) != e3
& op(e4,e1) != e4 )
| ( op(e0,e2) != e0
& op(e1,e2) != e1
& op(e2,e2) != e2
& op(e3,e2) != e3
& op(e4,e2) != e4 )
| ( op(e0,e3) != e0
& op(e1,e3) != e1
& op(e2,e3) != e2
& op(e3,e3) != e3
& op(e4,e3) != e4 )
| ( op(e0,e4) != e0
& op(e1,e4) != e1
& op(e2,e4) != e2
& op(e3,e4) != e3
& op(e4,e4) != e4 ) ) ),
inference(canonicalize,[],[negate_3_0]) ).
fof(normalize_3_26,plain,
( op(e0,e0) = e0
| op(e0,e1) = e1
| op(e0,e2) = e2
| op(e0,e3) = e3
| op(e0,e4) = e4 ),
inference(conjunct,[],[normalize_3_25]) ).
fof(normalize_3_27,plain,
op(e3,e3) != e3,
inference(conjunct,[],[normalize_3_25]) ).
fof(normalize_3_28,plain,
op(op(e0,e0),op(e0,e0)) = e0,
inference(conjunct,[],[normalize_3_10]) ).
fof(normalize_3_29,plain,
op(e0,e0) != op(e0,e3),
inference(conjunct,[],[normalize_3_8]) ).
fof(normalize_3_30,plain,
op(op(e1,e0),op(e0,e1)) = e0,
inference(conjunct,[],[normalize_3_10]) ).
fof(normalize_3_31,plain,
( op(e1,e0) = e0
| op(e1,e0) = e1
| op(e1,e0) = e2
| op(e1,e0) = e3
| op(e1,e0) = e4 ),
inference(conjunct,[],[normalize_3_13]) ).
fof(normalize_3_32,plain,
op(e0,e0) != op(e1,e0),
inference(conjunct,[],[normalize_3_8]) ).
fof(normalize_3_33,plain,
op(e1,e0) != op(e4,e0),
inference(conjunct,[],[normalize_3_8]) ).
fof(normalize_3_34,plain,
op(op(e4,e0),op(e0,e4)) = e0,
inference(conjunct,[],[normalize_3_10]) ).
fof(normalize_3_35,plain,
( op(e4,e0) = e0
| op(e4,e0) = e1
| op(e4,e0) = e2
| op(e4,e0) = e3
| op(e4,e0) = e4 ),
inference(conjunct,[],[normalize_3_13]) ).
fof(normalize_3_36,plain,
op(e4,e0) != op(e4,e4),
inference(conjunct,[],[normalize_3_8]) ).
fof(normalize_3_37,plain,
op(e0,e0) != op(e4,e0),
inference(conjunct,[],[normalize_3_8]) ).
fof(normalize_3_38,plain,
op(e4,e0) != op(e4,e1),
inference(conjunct,[],[normalize_3_8]) ).
fof(normalize_3_39,plain,
e0 != e1,
inference(conjunct,[],[normalize_3_6]) ).
fof(normalize_3_40,plain,
op(e1,e0) != op(e1,e1),
inference(conjunct,[],[normalize_3_8]) ).
fof(normalize_3_41,plain,
op(e0,e2) != op(e0,e3),
inference(conjunct,[],[normalize_3_8]) ).
fof(normalize_3_42,plain,
( op(e0,e3) = e0
| op(e0,e3) = e1
| op(e0,e3) = e2
| op(e0,e3) = e3
| op(e0,e3) = e4 ),
inference(conjunct,[],[normalize_3_13]) ).
fof(normalize_3_43,plain,
op(e0,e1) != op(e0,e3),
inference(conjunct,[],[normalize_3_8]) ).
fof(normalize_3_44,plain,
op(e0,e3) != op(e3,e3),
inference(conjunct,[],[normalize_3_8]) ).
fof(normalize_3_45,plain,
op(e0,e3) != op(e0,e4),
inference(conjunct,[],[normalize_3_8]) ).
fof(normalize_3_46,plain,
e1 != e3,
inference(conjunct,[],[normalize_3_6]) ).
fof(normalize_3_47,plain,
e1 != e4,
inference(conjunct,[],[normalize_3_6]) ).
fof(normalize_3_48,plain,
op(e3,e1) != e1,
inference(conjunct,[],[normalize_3_25]) ).
cnf(refute_3_0,plain,
( op(e0,e1) = e1
| op(e1,e1) = e1
| op(e2,e1) = e1
| op(e3,e1) = e1
| op(e4,e1) = e1 ),
inference(canonicalize,[],[normalize_3_1]) ).
cnf(refute_3_1,plain,
e2 = op(op(e4,op(e4,e4)),op(e4,e4)),
inference(canonicalize,[],[normalize_3_3]) ).
cnf(refute_3_2,plain,
e1 = op(e4,e4),
inference(canonicalize,[],[normalize_3_4]) ).
cnf(refute_3_3,plain,
X = X,
introduced(tautology,[refl,[$fot(X)]]) ).
cnf(refute_3_4,plain,
( X != X
| X != Y
| Y = X ),
introduced(tautology,[equality,[$cnf( $equal(X,X) ),[0],$fot(Y)]]) ).
cnf(refute_3_5,plain,
( X != Y
| Y = X ),
inference(resolve,[$cnf( $equal(X,X) )],[refute_3_3,refute_3_4]) ).
cnf(refute_3_6,plain,
( e1 != op(e4,e4)
| op(e4,e4) = e1 ),
inference(subst,[],[refute_3_5:[bind(X,$fot(e1)),bind(Y,$fot(op(e4,e4)))]]) ).
cnf(refute_3_7,plain,
op(e4,e4) = e1,
inference(resolve,[$cnf( $equal(e1,op(e4,e4)) )],[refute_3_2,refute_3_6]) ).
cnf(refute_3_8,plain,
op(e0,op(e4,e4)) = op(e0,op(e4,e4)),
introduced(tautology,[refl,[$fot(op(e0,op(e4,e4)))]]) ).
cnf(refute_3_9,plain,
( op(e0,op(e4,e4)) != op(e0,op(e4,e4))
| op(e4,e4) != e1
| op(e0,op(e4,e4)) = op(e0,e1) ),
introduced(tautology,[equality,[$cnf( $equal(op(e0,op(e4,e4)),op(e0,op(e4,e4))) ),[1,1],$fot(e1)]]) ).
cnf(refute_3_10,plain,
( op(e4,e4) != e1
| op(e0,op(e4,e4)) = op(e0,e1) ),
inference(resolve,[$cnf( $equal(op(e0,op(e4,e4)),op(e0,op(e4,e4))) )],[refute_3_8,refute_3_9]) ).
cnf(refute_3_11,plain,
op(e0,op(e4,e4)) = op(e0,e1),
inference(resolve,[$cnf( $equal(op(e4,e4),e1) )],[refute_3_7,refute_3_10]) ).
cnf(refute_3_12,plain,
e0 = op(e4,op(e4,e4)),
inference(canonicalize,[],[normalize_3_5]) ).
cnf(refute_3_13,plain,
( e0 != op(e4,op(e4,e4))
| op(e4,op(e4,e4)) = e0 ),
inference(subst,[],[refute_3_5:[bind(X,$fot(e0)),bind(Y,$fot(op(e4,op(e4,e4))))]]) ).
cnf(refute_3_14,plain,
op(e4,op(e4,e4)) = e0,
inference(resolve,[$cnf( $equal(e0,op(e4,op(e4,e4))) )],[refute_3_12,refute_3_13]) ).
cnf(refute_3_15,plain,
op(op(e4,op(e4,e4)),op(e4,e4)) = op(op(e4,op(e4,e4)),op(e4,e4)),
introduced(tautology,[refl,[$fot(op(op(e4,op(e4,e4)),op(e4,e4)))]]) ).
cnf(refute_3_16,plain,
( op(e4,op(e4,e4)) != e0
| op(op(e4,op(e4,e4)),op(e4,e4)) != op(op(e4,op(e4,e4)),op(e4,e4))
| op(op(e4,op(e4,e4)),op(e4,e4)) = op(e0,op(e4,e4)) ),
introduced(tautology,[equality,[$cnf( $equal(op(op(e4,op(e4,e4)),op(e4,e4)),op(op(e4,op(e4,e4)),op(e4,e4))) ),[1,0],$fot(e0)]]) ).
cnf(refute_3_17,plain,
( op(e4,op(e4,e4)) != e0
| op(op(e4,op(e4,e4)),op(e4,e4)) = op(e0,op(e4,e4)) ),
inference(resolve,[$cnf( $equal(op(op(e4,op(e4,e4)),op(e4,e4)),op(op(e4,op(e4,e4)),op(e4,e4))) )],[refute_3_15,refute_3_16]) ).
cnf(refute_3_18,plain,
op(op(e4,op(e4,e4)),op(e4,e4)) = op(e0,op(e4,e4)),
inference(resolve,[$cnf( $equal(op(e4,op(e4,e4)),e0) )],[refute_3_14,refute_3_17]) ).
cnf(refute_3_19,plain,
( Y != X
| Y != Z
| X = Z ),
introduced(tautology,[equality,[$cnf( $equal(Y,Z) ),[0],$fot(X)]]) ).
cnf(refute_3_20,plain,
( X != Y
| Y != Z
| X = Z ),
inference(resolve,[$cnf( $equal(Y,X) )],[refute_3_5,refute_3_19]) ).
cnf(refute_3_21,plain,
( op(e0,op(e4,e4)) != op(e0,e1)
| op(op(e4,op(e4,e4)),op(e4,e4)) != op(e0,op(e4,e4))
| op(op(e4,op(e4,e4)),op(e4,e4)) = op(e0,e1) ),
inference(subst,[],[refute_3_20:[bind(X,$fot(op(op(e4,op(e4,e4)),op(e4,e4)))),bind(Y,$fot(op(e0,op(e4,e4)))),bind(Z,$fot(op(e0,e1)))]]) ).
cnf(refute_3_22,plain,
( op(e0,op(e4,e4)) != op(e0,e1)
| op(op(e4,op(e4,e4)),op(e4,e4)) = op(e0,e1) ),
inference(resolve,[$cnf( $equal(op(op(e4,op(e4,e4)),op(e4,e4)),op(e0,op(e4,e4))) )],[refute_3_18,refute_3_21]) ).
cnf(refute_3_23,plain,
op(op(e4,op(e4,e4)),op(e4,e4)) = op(e0,e1),
inference(resolve,[$cnf( $equal(op(e0,op(e4,e4)),op(e0,e1)) )],[refute_3_11,refute_3_22]) ).
cnf(refute_3_24,plain,
( e2 != op(op(e4,op(e4,e4)),op(e4,e4))
| op(op(e4,op(e4,e4)),op(e4,e4)) != op(e0,e1)
| e2 = op(e0,e1) ),
introduced(tautology,[equality,[$cnf( ~ $equal(e2,op(e0,e1)) ),[0],$fot(op(op(e4,op(e4,e4)),op(e4,e4)))]]) ).
cnf(refute_3_25,plain,
( e2 != op(op(e4,op(e4,e4)),op(e4,e4))
| e2 = op(e0,e1) ),
inference(resolve,[$cnf( $equal(op(op(e4,op(e4,e4)),op(e4,e4)),op(e0,e1)) )],[refute_3_23,refute_3_24]) ).
cnf(refute_3_26,plain,
e2 = op(e0,e1),
inference(resolve,[$cnf( $equal(e2,op(op(e4,op(e4,e4)),op(e4,e4))) )],[refute_3_1,refute_3_25]) ).
cnf(refute_3_27,plain,
( e2 != op(e0,e1)
| op(e0,e1) = e2 ),
inference(subst,[],[refute_3_5:[bind(X,$fot(e2)),bind(Y,$fot(op(e0,e1)))]]) ).
cnf(refute_3_28,plain,
op(e0,e1) = e2,
inference(resolve,[$cnf( $equal(e2,op(e0,e1)) )],[refute_3_26,refute_3_27]) ).
cnf(refute_3_29,plain,
( op(e0,e1) != e1
| op(e0,e1) != e2
| e2 = e1 ),
introduced(tautology,[equality,[$cnf( $equal(op(e0,e1),e1) ),[0],$fot(e2)]]) ).
cnf(refute_3_30,plain,
( op(e0,e1) != e1
| e2 = e1 ),
inference(resolve,[$cnf( $equal(op(e0,e1),e2) )],[refute_3_28,refute_3_29]) ).
cnf(refute_3_31,plain,
( e2 = e1
| op(e1,e1) = e1
| op(e2,e1) = e1
| op(e3,e1) = e1
| op(e4,e1) = e1 ),
inference(resolve,[$cnf( $equal(op(e0,e1),e1) )],[refute_3_0,refute_3_30]) ).
cnf(refute_3_32,plain,
e1 != e2,
inference(canonicalize,[],[normalize_3_7]) ).
cnf(refute_3_33,plain,
( e2 != e1
| e1 = e2 ),
inference(subst,[],[refute_3_5:[bind(X,$fot(e2)),bind(Y,$fot(e1))]]) ).
cnf(refute_3_34,plain,
e2 != e1,
inference(resolve,[$cnf( $equal(e1,e2) )],[refute_3_33,refute_3_32]) ).
cnf(refute_3_35,plain,
( op(e1,e1) = e1
| op(e2,e1) = e1
| op(e3,e1) = e1
| op(e4,e1) = e1 ),
inference(resolve,[$cnf( $equal(e2,e1) )],[refute_3_31,refute_3_34]) ).
cnf(refute_3_36,plain,
op(e4,e1) != op(e4,e4),
inference(canonicalize,[],[normalize_3_9]) ).
cnf(refute_3_37,plain,
( op(e4,e1) != e1
| op(e4,e4) != e1
| op(e4,e1) = op(e4,e4) ),
introduced(tautology,[equality,[$cnf( ~ $equal(op(e4,e1),op(e4,e4)) ),[1],$fot(e1)]]) ).
cnf(refute_3_38,plain,
( op(e4,e1) != e1
| op(e4,e1) = op(e4,e4) ),
inference(resolve,[$cnf( $equal(op(e4,e4),e1) )],[refute_3_7,refute_3_37]) ).
cnf(refute_3_39,plain,
op(e4,e1) != e1,
inference(resolve,[$cnf( $equal(op(e4,e1),op(e4,e4)) )],[refute_3_38,refute_3_36]) ).
cnf(refute_3_40,plain,
( op(e1,e1) = e1
| op(e2,e1) = e1
| op(e3,e1) = e1 ),
inference(resolve,[$cnf( $equal(op(e4,e1),e1) )],[refute_3_35,refute_3_39]) ).
cnf(refute_3_41,plain,
op(op(e4,e4),op(e4,e4)) = e4,
inference(canonicalize,[],[normalize_3_11]) ).
cnf(refute_3_42,plain,
op(e1,op(e4,e4)) = op(e1,op(e4,e4)),
introduced(tautology,[refl,[$fot(op(e1,op(e4,e4)))]]) ).
cnf(refute_3_43,plain,
( op(e1,op(e4,e4)) != op(e1,op(e4,e4))
| op(e4,e4) != e1
| op(e1,op(e4,e4)) = op(e1,e1) ),
introduced(tautology,[equality,[$cnf( $equal(op(e1,op(e4,e4)),op(e1,op(e4,e4))) ),[1,1],$fot(e1)]]) ).
cnf(refute_3_44,plain,
( op(e4,e4) != e1
| op(e1,op(e4,e4)) = op(e1,e1) ),
inference(resolve,[$cnf( $equal(op(e1,op(e4,e4)),op(e1,op(e4,e4))) )],[refute_3_42,refute_3_43]) ).
cnf(refute_3_45,plain,
op(e1,op(e4,e4)) = op(e1,e1),
inference(resolve,[$cnf( $equal(op(e4,e4),e1) )],[refute_3_7,refute_3_44]) ).
cnf(refute_3_46,plain,
op(op(e4,e4),op(e4,e4)) = op(op(e4,e4),op(e4,e4)),
introduced(tautology,[refl,[$fot(op(op(e4,e4),op(e4,e4)))]]) ).
cnf(refute_3_47,plain,
( op(e4,e4) != e1
| op(op(e4,e4),op(e4,e4)) != op(op(e4,e4),op(e4,e4))
| op(op(e4,e4),op(e4,e4)) = op(e1,op(e4,e4)) ),
introduced(tautology,[equality,[$cnf( $equal(op(op(e4,e4),op(e4,e4)),op(op(e4,e4),op(e4,e4))) ),[1,0],$fot(e1)]]) ).
cnf(refute_3_48,plain,
( op(e4,e4) != e1
| op(op(e4,e4),op(e4,e4)) = op(e1,op(e4,e4)) ),
inference(resolve,[$cnf( $equal(op(op(e4,e4),op(e4,e4)),op(op(e4,e4),op(e4,e4))) )],[refute_3_46,refute_3_47]) ).
cnf(refute_3_49,plain,
op(op(e4,e4),op(e4,e4)) = op(e1,op(e4,e4)),
inference(resolve,[$cnf( $equal(op(e4,e4),e1) )],[refute_3_7,refute_3_48]) ).
cnf(refute_3_50,plain,
( op(e1,op(e4,e4)) != op(e1,e1)
| op(op(e4,e4),op(e4,e4)) != op(e1,op(e4,e4))
| op(op(e4,e4),op(e4,e4)) = op(e1,e1) ),
inference(subst,[],[refute_3_20:[bind(X,$fot(op(op(e4,e4),op(e4,e4)))),bind(Y,$fot(op(e1,op(e4,e4)))),bind(Z,$fot(op(e1,e1)))]]) ).
cnf(refute_3_51,plain,
( op(e1,op(e4,e4)) != op(e1,e1)
| op(op(e4,e4),op(e4,e4)) = op(e1,e1) ),
inference(resolve,[$cnf( $equal(op(op(e4,e4),op(e4,e4)),op(e1,op(e4,e4))) )],[refute_3_49,refute_3_50]) ).
cnf(refute_3_52,plain,
op(op(e4,e4),op(e4,e4)) = op(e1,e1),
inference(resolve,[$cnf( $equal(op(e1,op(e4,e4)),op(e1,e1)) )],[refute_3_45,refute_3_51]) ).
cnf(refute_3_53,plain,
( op(op(e4,e4),op(e4,e4)) != e4
| op(op(e4,e4),op(e4,e4)) != op(e1,e1)
| op(e1,e1) = e4 ),
introduced(tautology,[equality,[$cnf( $equal(op(op(e4,e4),op(e4,e4)),e4) ),[0],$fot(op(e1,e1))]]) ).
cnf(refute_3_54,plain,
( op(op(e4,e4),op(e4,e4)) != e4
| op(e1,e1) = e4 ),
inference(resolve,[$cnf( $equal(op(op(e4,e4),op(e4,e4)),op(e1,e1)) )],[refute_3_52,refute_3_53]) ).
cnf(refute_3_55,plain,
op(e1,e1) = e4,
inference(resolve,[$cnf( $equal(op(op(e4,e4),op(e4,e4)),e4) )],[refute_3_41,refute_3_54]) ).
cnf(refute_3_56,plain,
( op(e1,e1) != e1
| op(e1,e1) != e4
| e4 = e1 ),
introduced(tautology,[equality,[$cnf( $equal(op(e1,e1),e1) ),[0],$fot(e4)]]) ).
cnf(refute_3_57,plain,
( op(e1,e1) != e1
| e4 = e1 ),
inference(resolve,[$cnf( $equal(op(e1,e1),e4) )],[refute_3_55,refute_3_56]) ).
cnf(refute_3_58,plain,
( e4 = e1
| op(e2,e1) = e1
| op(e3,e1) = e1 ),
inference(resolve,[$cnf( $equal(op(e1,e1),e1) )],[refute_3_40,refute_3_57]) ).
cnf(refute_3_59,plain,
op(e2,e0) != op(e2,e1),
inference(canonicalize,[],[normalize_3_12]) ).
cnf(refute_3_60,plain,
( op(e2,e1) = e0
| op(e2,e1) = e1
| op(e2,e1) = e2
| op(e2,e1) = e3
| op(e2,e1) = e4 ),
inference(canonicalize,[],[normalize_3_14]) ).
cnf(refute_3_61,plain,
op(e0,e1) != op(e2,e1),
inference(canonicalize,[],[normalize_3_15]) ).
cnf(refute_3_62,plain,
( e2 != op(e2,e1)
| op(e0,e1) != e2
| op(e0,e1) = op(e2,e1) ),
introduced(tautology,[equality,[$cnf( $equal(op(e0,e1),e2) ),[1],$fot(op(e2,e1))]]) ).
cnf(refute_3_63,plain,
( e2 != op(e2,e1)
| op(e0,e1) = op(e2,e1) ),
inference(resolve,[$cnf( $equal(op(e0,e1),e2) )],[refute_3_28,refute_3_62]) ).
cnf(refute_3_64,plain,
e2 != op(e2,e1),
inference(resolve,[$cnf( $equal(op(e0,e1),op(e2,e1)) )],[refute_3_63,refute_3_61]) ).
cnf(refute_3_65,plain,
( op(e2,e1) != e2
| e2 = op(e2,e1) ),
inference(subst,[],[refute_3_5:[bind(X,$fot(op(e2,e1))),bind(Y,$fot(e2))]]) ).
cnf(refute_3_66,plain,
op(e2,e1) != e2,
inference(resolve,[$cnf( $equal(e2,op(e2,e1)) )],[refute_3_65,refute_3_64]) ).
cnf(refute_3_67,plain,
( op(e2,e1) = e0
| op(e2,e1) = e1
| op(e2,e1) = e3
| op(e2,e1) = e4 ),
inference(resolve,[$cnf( $equal(op(e2,e1),e2) )],[refute_3_60,refute_3_66]) ).
cnf(refute_3_68,plain,
op(e2,e1) != op(e4,e1),
inference(canonicalize,[],[normalize_3_16]) ).
cnf(refute_3_69,plain,
op(e4,op(e4,e4)) = op(e4,op(e4,e4)),
introduced(tautology,[refl,[$fot(op(e4,op(e4,e4)))]]) ).
cnf(refute_3_70,plain,
( op(e4,e4) != e1
| op(e4,op(e4,e4)) != op(e4,op(e4,e4))
| op(e4,op(e4,e4)) = op(e4,e1) ),
introduced(tautology,[equality,[$cnf( $equal(op(e4,op(e4,e4)),op(e4,op(e4,e4))) ),[1,1],$fot(e1)]]) ).
cnf(refute_3_71,plain,
( op(e4,e4) != e1
| op(e4,op(e4,e4)) = op(e4,e1) ),
inference(resolve,[$cnf( $equal(op(e4,op(e4,e4)),op(e4,op(e4,e4))) )],[refute_3_69,refute_3_70]) ).
cnf(refute_3_72,plain,
op(e4,op(e4,e4)) = op(e4,e1),
inference(resolve,[$cnf( $equal(op(e4,e4),e1) )],[refute_3_7,refute_3_71]) ).
cnf(refute_3_73,plain,
( e0 != op(e4,op(e4,e4))
| op(e4,op(e4,e4)) != op(e4,e1)
| e0 = op(e4,e1) ),
introduced(tautology,[equality,[$cnf( ~ $equal(e0,op(e4,e1)) ),[0],$fot(op(e4,op(e4,e4)))]]) ).
cnf(refute_3_74,plain,
( e0 != op(e4,op(e4,e4))
| e0 = op(e4,e1) ),
inference(resolve,[$cnf( $equal(op(e4,op(e4,e4)),op(e4,e1)) )],[refute_3_72,refute_3_73]) ).
cnf(refute_3_75,plain,
e0 = op(e4,e1),
inference(resolve,[$cnf( $equal(e0,op(e4,op(e4,e4))) )],[refute_3_12,refute_3_74]) ).
cnf(refute_3_76,plain,
( e0 != op(e4,e1)
| op(e4,e1) = e0 ),
inference(subst,[],[refute_3_5:[bind(X,$fot(e0)),bind(Y,$fot(op(e4,e1)))]]) ).
cnf(refute_3_77,plain,
op(e4,e1) = e0,
inference(resolve,[$cnf( $equal(e0,op(e4,e1)) )],[refute_3_75,refute_3_76]) ).
cnf(refute_3_78,plain,
( op(e2,e1) != e0
| op(e4,e1) != e0
| op(e2,e1) = op(e4,e1) ),
introduced(tautology,[equality,[$cnf( ~ $equal(op(e2,e1),op(e4,e1)) ),[1],$fot(e0)]]) ).
cnf(refute_3_79,plain,
( op(e2,e1) != e0
| op(e2,e1) = op(e4,e1) ),
inference(resolve,[$cnf( $equal(op(e4,e1),e0) )],[refute_3_77,refute_3_78]) ).
cnf(refute_3_80,plain,
op(e2,e1) != e0,
inference(resolve,[$cnf( $equal(op(e2,e1),op(e4,e1)) )],[refute_3_79,refute_3_68]) ).
cnf(refute_3_81,plain,
( op(e2,e1) = e1
| op(e2,e1) = e3
| op(e2,e1) = e4 ),
inference(resolve,[$cnf( $equal(op(e2,e1),e0) )],[refute_3_67,refute_3_80]) ).
cnf(refute_3_82,plain,
op(e1,e1) != op(e2,e1),
inference(canonicalize,[],[normalize_3_17]) ).
cnf(refute_3_83,plain,
( e4 != op(e2,e1)
| op(e1,e1) != e4
| op(e1,e1) = op(e2,e1) ),
introduced(tautology,[equality,[$cnf( $equal(op(e1,e1),e4) ),[1],$fot(op(e2,e1))]]) ).
cnf(refute_3_84,plain,
( e4 != op(e2,e1)
| op(e1,e1) = op(e2,e1) ),
inference(resolve,[$cnf( $equal(op(e1,e1),e4) )],[refute_3_55,refute_3_83]) ).
cnf(refute_3_85,plain,
e4 != op(e2,e1),
inference(resolve,[$cnf( $equal(op(e1,e1),op(e2,e1)) )],[refute_3_84,refute_3_82]) ).
cnf(refute_3_86,plain,
( op(e2,e1) != e4
| e4 = op(e2,e1) ),
inference(subst,[],[refute_3_5:[bind(X,$fot(op(e2,e1))),bind(Y,$fot(e4))]]) ).
cnf(refute_3_87,plain,
op(e2,e1) != e4,
inference(resolve,[$cnf( $equal(e4,op(e2,e1)) )],[refute_3_86,refute_3_85]) ).
cnf(refute_3_88,plain,
( op(e2,e1) = e1
| op(e2,e1) = e3 ),
inference(resolve,[$cnf( $equal(op(e2,e1),e4) )],[refute_3_81,refute_3_87]) ).
cnf(refute_3_89,plain,
( op(e2,e0) != e1
| op(e2,e1) != e1
| op(e2,e0) = op(e2,e1) ),
introduced(tautology,[equality,[$cnf( ~ $equal(op(e2,e0),op(e2,e1)) ),[1],$fot(e1)]]) ).
cnf(refute_3_90,plain,
( op(e2,e0) != e1
| op(e2,e0) = op(e2,e1)
| op(e2,e1) = e3 ),
inference(resolve,[$cnf( $equal(op(e2,e1),e1) )],[refute_3_88,refute_3_89]) ).
cnf(refute_3_91,plain,
( op(e2,e0) != e1
| op(e2,e1) = e3 ),
inference(resolve,[$cnf( $equal(op(e2,e0),op(e2,e1)) )],[refute_3_90,refute_3_59]) ).
cnf(refute_3_92,plain,
op(op(e0,e1),op(e1,e0)) = e1,
inference(canonicalize,[],[normalize_3_18]) ).
cnf(refute_3_93,plain,
op(op(e0,e1),op(e1,e0)) = op(op(e0,e1),op(e1,e0)),
introduced(tautology,[refl,[$fot(op(op(e0,e1),op(e1,e0)))]]) ).
cnf(refute_3_94,plain,
( op(e0,e1) != e2
| op(op(e0,e1),op(e1,e0)) != op(op(e0,e1),op(e1,e0))
| op(op(e0,e1),op(e1,e0)) = op(e2,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(e2)]]) ).
cnf(refute_3_95,plain,
( op(e0,e1) != e2
| op(op(e0,e1),op(e1,e0)) = op(e2,op(e1,e0)) ),
inference(resolve,[$cnf( $equal(op(op(e0,e1),op(e1,e0)),op(op(e0,e1),op(e1,e0))) )],[refute_3_93,refute_3_94]) ).
cnf(refute_3_96,plain,
op(op(e0,e1),op(e1,e0)) = op(e2,op(e1,e0)),
inference(resolve,[$cnf( $equal(op(e0,e1),e2) )],[refute_3_28,refute_3_95]) ).
cnf(refute_3_97,plain,
( op(op(e0,e1),op(e1,e0)) != e1
| op(op(e0,e1),op(e1,e0)) != op(e2,op(e1,e0))
| op(e2,op(e1,e0)) = e1 ),
introduced(tautology,[equality,[$cnf( $equal(op(op(e0,e1),op(e1,e0)),e1) ),[0],$fot(op(e2,op(e1,e0)))]]) ).
cnf(refute_3_98,plain,
( op(op(e0,e1),op(e1,e0)) != e1
| op(e2,op(e1,e0)) = e1 ),
inference(resolve,[$cnf( $equal(op(op(e0,e1),op(e1,e0)),op(e2,op(e1,e0))) )],[refute_3_96,refute_3_97]) ).
cnf(refute_3_99,plain,
op(e2,op(e1,e0)) = e1,
inference(resolve,[$cnf( $equal(op(op(e0,e1),op(e1,e0)),e1) )],[refute_3_92,refute_3_98]) ).
cnf(refute_3_100,plain,
op(e0,e2) != op(e1,e2),
inference(canonicalize,[],[normalize_3_19]) ).
cnf(refute_3_101,plain,
( op(e0,e2) = e0
| op(e0,e2) = e1
| op(e0,e2) = e2
| op(e0,e2) = e3
| op(e0,e2) = e4 ),
inference(canonicalize,[],[normalize_3_20]) ).
cnf(refute_3_102,plain,
op(e0,e1) != op(e0,e2),
inference(canonicalize,[],[normalize_3_21]) ).
cnf(refute_3_103,plain,
( e2 != op(e0,e2)
| op(e0,e1) != e2
| op(e0,e1) = op(e0,e2) ),
introduced(tautology,[equality,[$cnf( $equal(op(e0,e1),e2) ),[1],$fot(op(e0,e2))]]) ).
cnf(refute_3_104,plain,
( e2 != op(e0,e2)
| op(e0,e1) = op(e0,e2) ),
inference(resolve,[$cnf( $equal(op(e0,e1),e2) )],[refute_3_28,refute_3_103]) ).
cnf(refute_3_105,plain,
e2 != op(e0,e2),
inference(resolve,[$cnf( $equal(op(e0,e1),op(e0,e2)) )],[refute_3_104,refute_3_102]) ).
cnf(refute_3_106,plain,
( op(e0,e2) != e2
| e2 = op(e0,e2) ),
inference(subst,[],[refute_3_5:[bind(X,$fot(op(e0,e2))),bind(Y,$fot(e2))]]) ).
cnf(refute_3_107,plain,
op(e0,e2) != e2,
inference(resolve,[$cnf( $equal(e2,op(e0,e2)) )],[refute_3_106,refute_3_105]) ).
cnf(refute_3_108,plain,
( op(e0,e2) = e0
| op(e0,e2) = e1
| op(e0,e2) = e3
| op(e0,e2) = e4 ),
inference(resolve,[$cnf( $equal(op(e0,e2),e2) )],[refute_3_101,refute_3_107]) ).
cnf(refute_3_109,plain,
op(e0,e0) != op(e0,e2),
inference(canonicalize,[],[normalize_3_22]) ).
cnf(refute_3_110,plain,
e3 = op(op(e4,op(e4,e4)),op(e4,op(e4,e4))),
inference(canonicalize,[],[normalize_3_23]) ).
cnf(refute_3_111,plain,
op(e0,op(e4,op(e4,e4))) = op(e0,op(e4,op(e4,e4))),
introduced(tautology,[refl,[$fot(op(e0,op(e4,op(e4,e4))))]]) ).
cnf(refute_3_112,plain,
( op(e0,op(e4,op(e4,e4))) != op(e0,op(e4,op(e4,e4)))
| op(e4,op(e4,e4)) != e0
| op(e0,op(e4,op(e4,e4))) = op(e0,e0) ),
introduced(tautology,[equality,[$cnf( $equal(op(e0,op(e4,op(e4,e4))),op(e0,op(e4,op(e4,e4)))) ),[1,1],$fot(e0)]]) ).
cnf(refute_3_113,plain,
( op(e4,op(e4,e4)) != e0
| op(e0,op(e4,op(e4,e4))) = op(e0,e0) ),
inference(resolve,[$cnf( $equal(op(e0,op(e4,op(e4,e4))),op(e0,op(e4,op(e4,e4)))) )],[refute_3_111,refute_3_112]) ).
cnf(refute_3_114,plain,
op(e0,op(e4,op(e4,e4))) = op(e0,e0),
inference(resolve,[$cnf( $equal(op(e4,op(e4,e4)),e0) )],[refute_3_14,refute_3_113]) ).
cnf(refute_3_115,plain,
op(op(e4,op(e4,e4)),op(e4,op(e4,e4))) = op(op(e4,op(e4,e4)),op(e4,op(e4,e4))),
introduced(tautology,[refl,[$fot(op(op(e4,op(e4,e4)),op(e4,op(e4,e4))))]]) ).
cnf(refute_3_116,plain,
( op(e4,op(e4,e4)) != e0
| op(op(e4,op(e4,e4)),op(e4,op(e4,e4))) != op(op(e4,op(e4,e4)),op(e4,op(e4,e4)))
| op(op(e4,op(e4,e4)),op(e4,op(e4,e4))) = op(e0,op(e4,op(e4,e4))) ),
introduced(tautology,[equality,[$cnf( $equal(op(op(e4,op(e4,e4)),op(e4,op(e4,e4))),op(op(e4,op(e4,e4)),op(e4,op(e4,e4)))) ),[1,0],$fot(e0)]]) ).
cnf(refute_3_117,plain,
( op(e4,op(e4,e4)) != e0
| op(op(e4,op(e4,e4)),op(e4,op(e4,e4))) = op(e0,op(e4,op(e4,e4))) ),
inference(resolve,[$cnf( $equal(op(op(e4,op(e4,e4)),op(e4,op(e4,e4))),op(op(e4,op(e4,e4)),op(e4,op(e4,e4)))) )],[refute_3_115,refute_3_116]) ).
cnf(refute_3_118,plain,
op(op(e4,op(e4,e4)),op(e4,op(e4,e4))) = op(e0,op(e4,op(e4,e4))),
inference(resolve,[$cnf( $equal(op(e4,op(e4,e4)),e0) )],[refute_3_14,refute_3_117]) ).
cnf(refute_3_119,plain,
( op(e0,op(e4,op(e4,e4))) != op(e0,e0)
| op(op(e4,op(e4,e4)),op(e4,op(e4,e4))) != op(e0,op(e4,op(e4,e4)))
| op(op(e4,op(e4,e4)),op(e4,op(e4,e4))) = op(e0,e0) ),
inference(subst,[],[refute_3_20:[bind(X,$fot(op(op(e4,op(e4,e4)),op(e4,op(e4,e4))))),bind(Y,$fot(op(e0,op(e4,op(e4,e4))))),bind(Z,$fot(op(e0,e0)))]]) ).
cnf(refute_3_120,plain,
( op(e0,op(e4,op(e4,e4))) != op(e0,e0)
| op(op(e4,op(e4,e4)),op(e4,op(e4,e4))) = op(e0,e0) ),
inference(resolve,[$cnf( $equal(op(op(e4,op(e4,e4)),op(e4,op(e4,e4))),op(e0,op(e4,op(e4,e4)))) )],[refute_3_118,refute_3_119]) ).
cnf(refute_3_121,plain,
op(op(e4,op(e4,e4)),op(e4,op(e4,e4))) = op(e0,e0),
inference(resolve,[$cnf( $equal(op(e0,op(e4,op(e4,e4))),op(e0,e0)) )],[refute_3_114,refute_3_120]) ).
cnf(refute_3_122,plain,
( e3 != op(op(e4,op(e4,e4)),op(e4,op(e4,e4)))
| op(op(e4,op(e4,e4)),op(e4,op(e4,e4))) != op(e0,e0)
| e3 = op(e0,e0) ),
introduced(tautology,[equality,[$cnf( ~ $equal(e3,op(e0,e0)) ),[0],$fot(op(op(e4,op(e4,e4)),op(e4,op(e4,e4))))]]) ).
cnf(refute_3_123,plain,
( e3 != op(op(e4,op(e4,e4)),op(e4,op(e4,e4)))
| e3 = op(e0,e0) ),
inference(resolve,[$cnf( $equal(op(op(e4,op(e4,e4)),op(e4,op(e4,e4))),op(e0,e0)) )],[refute_3_121,refute_3_122]) ).
cnf(refute_3_124,plain,
e3 = op(e0,e0),
inference(resolve,[$cnf( $equal(e3,op(op(e4,op(e4,e4)),op(e4,op(e4,e4)))) )],[refute_3_110,refute_3_123]) ).
cnf(refute_3_125,plain,
( e3 != op(e0,e0)
| op(e0,e0) = e3 ),
inference(subst,[],[refute_3_5:[bind(X,$fot(e3)),bind(Y,$fot(op(e0,e0)))]]) ).
cnf(refute_3_126,plain,
op(e0,e0) = e3,
inference(resolve,[$cnf( $equal(e3,op(e0,e0)) )],[refute_3_124,refute_3_125]) ).
cnf(refute_3_127,plain,
( e3 != op(e0,e2)
| op(e0,e0) != e3
| op(e0,e0) = op(e0,e2) ),
introduced(tautology,[equality,[$cnf( $equal(op(e0,e0),e3) ),[1],$fot(op(e0,e2))]]) ).
cnf(refute_3_128,plain,
( e3 != op(e0,e2)
| op(e0,e0) = op(e0,e2) ),
inference(resolve,[$cnf( $equal(op(e0,e0),e3) )],[refute_3_126,refute_3_127]) ).
cnf(refute_3_129,plain,
e3 != op(e0,e2),
inference(resolve,[$cnf( $equal(op(e0,e0),op(e0,e2)) )],[refute_3_128,refute_3_109]) ).
cnf(refute_3_130,plain,
( op(e0,e2) != e3
| e3 = op(e0,e2) ),
inference(subst,[],[refute_3_5:[bind(X,$fot(op(e0,e2))),bind(Y,$fot(e3))]]) ).
cnf(refute_3_131,plain,
op(e0,e2) != e3,
inference(resolve,[$cnf( $equal(e3,op(e0,e2)) )],[refute_3_130,refute_3_129]) ).
cnf(refute_3_132,plain,
( op(e0,e2) = e0
| op(e0,e2) = e1
| op(e0,e2) = e4 ),
inference(resolve,[$cnf( $equal(op(e0,e2),e3) )],[refute_3_108,refute_3_131]) ).
cnf(refute_3_133,plain,
op(e0,e2) != op(e0,e4),
inference(canonicalize,[],[normalize_3_24]) ).
cnf(refute_3_134,plain,
( op(e0,e0) = e0
| op(e0,e1) = e1
| op(e0,e2) = e2
| op(e0,e3) = e3
| op(e0,e4) = e4 ),
inference(canonicalize,[],[normalize_3_26]) ).
cnf(refute_3_135,plain,
( op(e0,e0) != e0
| op(e0,e0) != e3
| e3 = e0 ),
introduced(tautology,[equality,[$cnf( $equal(op(e0,e0),e0) ),[0],$fot(e3)]]) ).
cnf(refute_3_136,plain,
( op(e0,e0) != e0
| e3 = e0 ),
inference(resolve,[$cnf( $equal(op(e0,e0),e3) )],[refute_3_126,refute_3_135]) ).
cnf(refute_3_137,plain,
( e3 = e0
| op(e0,e1) = e1
| op(e0,e2) = e2
| op(e0,e3) = e3
| op(e0,e4) = e4 ),
inference(resolve,[$cnf( $equal(op(e0,e0),e0) )],[refute_3_134,refute_3_136]) ).
cnf(refute_3_138,plain,
( e2 = e1
| e3 = e0
| op(e0,e2) = e2
| op(e0,e3) = e3
| op(e0,e4) = e4 ),
inference(resolve,[$cnf( $equal(op(e0,e1),e1) )],[refute_3_137,refute_3_30]) ).
cnf(refute_3_139,plain,
( e3 = e0
| op(e0,e2) = e2
| op(e0,e3) = e3
| op(e0,e4) = e4 ),
inference(resolve,[$cnf( $equal(e2,e1) )],[refute_3_138,refute_3_34]) ).
cnf(refute_3_140,plain,
op(e3,e3) != e3,
inference(canonicalize,[],[normalize_3_27]) ).
cnf(refute_3_141,plain,
op(op(e0,e0),op(e0,e0)) = e0,
inference(canonicalize,[],[normalize_3_28]) ).
cnf(refute_3_142,plain,
op(e3,op(e0,e0)) = op(e3,op(e0,e0)),
introduced(tautology,[refl,[$fot(op(e3,op(e0,e0)))]]) ).
cnf(refute_3_143,plain,
( op(e0,e0) != e3
| op(e3,op(e0,e0)) != op(e3,op(e0,e0))
| op(e3,op(e0,e0)) = op(e3,e3) ),
introduced(tautology,[equality,[$cnf( $equal(op(e3,op(e0,e0)),op(e3,op(e0,e0))) ),[1,1],$fot(e3)]]) ).
cnf(refute_3_144,plain,
( op(e0,e0) != e3
| op(e3,op(e0,e0)) = op(e3,e3) ),
inference(resolve,[$cnf( $equal(op(e3,op(e0,e0)),op(e3,op(e0,e0))) )],[refute_3_142,refute_3_143]) ).
cnf(refute_3_145,plain,
op(e3,op(e0,e0)) = op(e3,e3),
inference(resolve,[$cnf( $equal(op(e0,e0),e3) )],[refute_3_126,refute_3_144]) ).
cnf(refute_3_146,plain,
op(op(e0,e0),op(e0,e0)) = op(op(e0,e0),op(e0,e0)),
introduced(tautology,[refl,[$fot(op(op(e0,e0),op(e0,e0)))]]) ).
cnf(refute_3_147,plain,
( op(e0,e0) != e3
| op(op(e0,e0),op(e0,e0)) != op(op(e0,e0),op(e0,e0))
| op(op(e0,e0),op(e0,e0)) = op(e3,op(e0,e0)) ),
introduced(tautology,[equality,[$cnf( $equal(op(op(e0,e0),op(e0,e0)),op(op(e0,e0),op(e0,e0))) ),[1,0],$fot(e3)]]) ).
cnf(refute_3_148,plain,
( op(e0,e0) != e3
| op(op(e0,e0),op(e0,e0)) = op(e3,op(e0,e0)) ),
inference(resolve,[$cnf( $equal(op(op(e0,e0),op(e0,e0)),op(op(e0,e0),op(e0,e0))) )],[refute_3_146,refute_3_147]) ).
cnf(refute_3_149,plain,
op(op(e0,e0),op(e0,e0)) = op(e3,op(e0,e0)),
inference(resolve,[$cnf( $equal(op(e0,e0),e3) )],[refute_3_126,refute_3_148]) ).
cnf(refute_3_150,plain,
( op(e3,op(e0,e0)) != op(e3,e3)
| op(op(e0,e0),op(e0,e0)) != op(e3,op(e0,e0))
| op(op(e0,e0),op(e0,e0)) = op(e3,e3) ),
inference(subst,[],[refute_3_20:[bind(X,$fot(op(op(e0,e0),op(e0,e0)))),bind(Y,$fot(op(e3,op(e0,e0)))),bind(Z,$fot(op(e3,e3)))]]) ).
cnf(refute_3_151,plain,
( op(e3,op(e0,e0)) != op(e3,e3)
| op(op(e0,e0),op(e0,e0)) = op(e3,e3) ),
inference(resolve,[$cnf( $equal(op(op(e0,e0),op(e0,e0)),op(e3,op(e0,e0))) )],[refute_3_149,refute_3_150]) ).
cnf(refute_3_152,plain,
op(op(e0,e0),op(e0,e0)) = op(e3,e3),
inference(resolve,[$cnf( $equal(op(e3,op(e0,e0)),op(e3,e3)) )],[refute_3_145,refute_3_151]) ).
cnf(refute_3_153,plain,
( op(op(e0,e0),op(e0,e0)) != e0
| op(op(e0,e0),op(e0,e0)) != op(e3,e3)
| op(e3,e3) = e0 ),
introduced(tautology,[equality,[$cnf( $equal(op(op(e0,e0),op(e0,e0)),e0) ),[0],$fot(op(e3,e3))]]) ).
cnf(refute_3_154,plain,
( op(op(e0,e0),op(e0,e0)) != e0
| op(e3,e3) = e0 ),
inference(resolve,[$cnf( $equal(op(op(e0,e0),op(e0,e0)),op(e3,e3)) )],[refute_3_152,refute_3_153]) ).
cnf(refute_3_155,plain,
op(e3,e3) = e0,
inference(resolve,[$cnf( $equal(op(op(e0,e0),op(e0,e0)),e0) )],[refute_3_141,refute_3_154]) ).
cnf(refute_3_156,plain,
( e0 != e3
| op(e3,e3) != e0
| op(e3,e3) = e3 ),
introduced(tautology,[equality,[$cnf( $equal(op(e3,e3),e0) ),[1],$fot(e3)]]) ).
cnf(refute_3_157,plain,
( e0 != e3
| op(e3,e3) = e3 ),
inference(resolve,[$cnf( $equal(op(e3,e3),e0) )],[refute_3_155,refute_3_156]) ).
cnf(refute_3_158,plain,
e0 != e3,
inference(resolve,[$cnf( $equal(op(e3,e3),e3) )],[refute_3_157,refute_3_140]) ).
cnf(refute_3_159,plain,
( e3 != e0
| e0 = e3 ),
inference(subst,[],[refute_3_5:[bind(X,$fot(e3)),bind(Y,$fot(e0))]]) ).
cnf(refute_3_160,plain,
e3 != e0,
inference(resolve,[$cnf( $equal(e0,e3) )],[refute_3_159,refute_3_158]) ).
cnf(refute_3_161,plain,
( op(e0,e2) = e2
| op(e0,e3) = e3
| op(e0,e4) = e4 ),
inference(resolve,[$cnf( $equal(e3,e0) )],[refute_3_139,refute_3_160]) ).
cnf(refute_3_162,plain,
( op(e0,e3) = e3
| op(e0,e4) = e4 ),
inference(resolve,[$cnf( $equal(op(e0,e2),e2) )],[refute_3_161,refute_3_107]) ).
cnf(refute_3_163,plain,
op(e0,e0) != op(e0,e3),
inference(canonicalize,[],[normalize_3_29]) ).
cnf(refute_3_164,plain,
( e3 != op(e0,e3)
| op(e0,e0) != e3
| op(e0,e0) = op(e0,e3) ),
introduced(tautology,[equality,[$cnf( $equal(op(e0,e0),e3) ),[1],$fot(op(e0,e3))]]) ).
cnf(refute_3_165,plain,
( e3 != op(e0,e3)
| op(e0,e0) = op(e0,e3) ),
inference(resolve,[$cnf( $equal(op(e0,e0),e3) )],[refute_3_126,refute_3_164]) ).
cnf(refute_3_166,plain,
e3 != op(e0,e3),
inference(resolve,[$cnf( $equal(op(e0,e0),op(e0,e3)) )],[refute_3_165,refute_3_163]) ).
cnf(refute_3_167,plain,
( op(e0,e3) != e3
| e3 = op(e0,e3) ),
inference(subst,[],[refute_3_5:[bind(X,$fot(op(e0,e3))),bind(Y,$fot(e3))]]) ).
cnf(refute_3_168,plain,
op(e0,e3) != e3,
inference(resolve,[$cnf( $equal(e3,op(e0,e3)) )],[refute_3_167,refute_3_166]) ).
cnf(refute_3_169,plain,
op(e0,e4) = e4,
inference(resolve,[$cnf( $equal(op(e0,e3),e3) )],[refute_3_162,refute_3_168]) ).
cnf(refute_3_170,plain,
( op(e0,e2) != e4
| op(e0,e4) != e4
| op(e0,e2) = op(e0,e4) ),
introduced(tautology,[equality,[$cnf( ~ $equal(op(e0,e2),op(e0,e4)) ),[1],$fot(e4)]]) ).
cnf(refute_3_171,plain,
( op(e0,e2) != e4
| op(e0,e2) = op(e0,e4) ),
inference(resolve,[$cnf( $equal(op(e0,e4),e4) )],[refute_3_169,refute_3_170]) ).
cnf(refute_3_172,plain,
op(e0,e2) != e4,
inference(resolve,[$cnf( $equal(op(e0,e2),op(e0,e4)) )],[refute_3_171,refute_3_133]) ).
cnf(refute_3_173,plain,
( op(e0,e2) = e0
| op(e0,e2) = e1 ),
inference(resolve,[$cnf( $equal(op(e0,e2),e4) )],[refute_3_132,refute_3_172]) ).
cnf(refute_3_174,plain,
( e0 != op(e1,e2)
| op(e0,e2) != e0
| op(e0,e2) = op(e1,e2) ),
introduced(tautology,[equality,[$cnf( $equal(op(e0,e2),e0) ),[1],$fot(op(e1,e2))]]) ).
cnf(refute_3_175,plain,
( e0 != op(e1,e2)
| op(e0,e2) = e1
| op(e0,e2) = op(e1,e2) ),
inference(resolve,[$cnf( $equal(op(e0,e2),e0) )],[refute_3_173,refute_3_174]) ).
cnf(refute_3_176,plain,
( e0 != op(e1,e2)
| op(e0,e2) = e1 ),
inference(resolve,[$cnf( $equal(op(e0,e2),op(e1,e2)) )],[refute_3_175,refute_3_100]) ).
cnf(refute_3_177,plain,
op(op(e1,e0),op(e0,e1)) = e0,
inference(canonicalize,[],[normalize_3_30]) ).
cnf(refute_3_178,plain,
op(op(e1,e0),op(e0,e1)) = op(op(e1,e0),op(e0,e1)),
introduced(tautology,[refl,[$fot(op(op(e1,e0),op(e0,e1)))]]) ).
cnf(refute_3_179,plain,
( op(e0,e1) != e2
| op(op(e1,e0),op(e0,e1)) != op(op(e1,e0),op(e0,e1))
| op(op(e1,e0),op(e0,e1)) = op(op(e1,e0),e2) ),
introduced(tautology,[equality,[$cnf( $equal(op(op(e1,e0),op(e0,e1)),op(op(e1,e0),op(e0,e1))) ),[1,1],$fot(e2)]]) ).
cnf(refute_3_180,plain,
( op(e0,e1) != e2
| op(op(e1,e0),op(e0,e1)) = op(op(e1,e0),e2) ),
inference(resolve,[$cnf( $equal(op(op(e1,e0),op(e0,e1)),op(op(e1,e0),op(e0,e1))) )],[refute_3_178,refute_3_179]) ).
cnf(refute_3_181,plain,
op(op(e1,e0),op(e0,e1)) = op(op(e1,e0),e2),
inference(resolve,[$cnf( $equal(op(e0,e1),e2) )],[refute_3_28,refute_3_180]) ).
cnf(refute_3_182,plain,
( op(op(e1,e0),op(e0,e1)) != e0
| op(op(e1,e0),op(e0,e1)) != op(op(e1,e0),e2)
| op(op(e1,e0),e2) = e0 ),
introduced(tautology,[equality,[$cnf( $equal(op(op(e1,e0),op(e0,e1)),e0) ),[0],$fot(op(op(e1,e0),e2))]]) ).
cnf(refute_3_183,plain,
( op(op(e1,e0),op(e0,e1)) != e0
| op(op(e1,e0),e2) = e0 ),
inference(resolve,[$cnf( $equal(op(op(e1,e0),op(e0,e1)),op(op(e1,e0),e2)) )],[refute_3_181,refute_3_182]) ).
cnf(refute_3_184,plain,
op(op(e1,e0),e2) = e0,
inference(resolve,[$cnf( $equal(op(op(e1,e0),op(e0,e1)),e0) )],[refute_3_177,refute_3_183]) ).
cnf(refute_3_185,plain,
( op(e1,e0) = e0
| op(e1,e0) = e1
| op(e1,e0) = e2
| op(e1,e0) = e3
| op(e1,e0) = e4 ),
inference(canonicalize,[],[normalize_3_31]) ).
cnf(refute_3_186,plain,
op(e0,e0) != op(e1,e0),
inference(canonicalize,[],[normalize_3_32]) ).
cnf(refute_3_187,plain,
( e3 != op(e1,e0)
| op(e0,e0) != e3
| op(e0,e0) = op(e1,e0) ),
introduced(tautology,[equality,[$cnf( $equal(op(e0,e0),e3) ),[1],$fot(op(e1,e0))]]) ).
cnf(refute_3_188,plain,
( e3 != op(e1,e0)
| op(e0,e0) = op(e1,e0) ),
inference(resolve,[$cnf( $equal(op(e0,e0),e3) )],[refute_3_126,refute_3_187]) ).
cnf(refute_3_189,plain,
e3 != op(e1,e0),
inference(resolve,[$cnf( $equal(op(e0,e0),op(e1,e0)) )],[refute_3_188,refute_3_186]) ).
cnf(refute_3_190,plain,
( op(e1,e0) != e3
| e3 = op(e1,e0) ),
inference(subst,[],[refute_3_5:[bind(X,$fot(op(e1,e0))),bind(Y,$fot(e3))]]) ).
cnf(refute_3_191,plain,
op(e1,e0) != e3,
inference(resolve,[$cnf( $equal(e3,op(e1,e0)) )],[refute_3_190,refute_3_189]) ).
cnf(refute_3_192,plain,
( op(e1,e0) = e0
| op(e1,e0) = e1
| op(e1,e0) = e2
| op(e1,e0) = e4 ),
inference(resolve,[$cnf( $equal(op(e1,e0),e3) )],[refute_3_185,refute_3_191]) ).
cnf(refute_3_193,plain,
op(e1,e0) != op(e4,e0),
inference(canonicalize,[],[normalize_3_33]) ).
cnf(refute_3_194,plain,
op(op(e4,e0),op(e0,e4)) = e0,
inference(canonicalize,[],[normalize_3_34]) ).
cnf(refute_3_195,plain,
op(op(e4,e0),op(e0,e4)) = op(op(e4,e0),op(e0,e4)),
introduced(tautology,[refl,[$fot(op(op(e4,e0),op(e0,e4)))]]) ).
cnf(refute_3_196,plain,
( op(e0,e4) != e4
| op(op(e4,e0),op(e0,e4)) != op(op(e4,e0),op(e0,e4))
| op(op(e4,e0),op(e0,e4)) = op(op(e4,e0),e4) ),
introduced(tautology,[equality,[$cnf( $equal(op(op(e4,e0),op(e0,e4)),op(op(e4,e0),op(e0,e4))) ),[1,1],$fot(e4)]]) ).
cnf(refute_3_197,plain,
( op(e0,e4) != e4
| op(op(e4,e0),op(e0,e4)) = op(op(e4,e0),e4) ),
inference(resolve,[$cnf( $equal(op(op(e4,e0),op(e0,e4)),op(op(e4,e0),op(e0,e4))) )],[refute_3_195,refute_3_196]) ).
cnf(refute_3_198,plain,
op(op(e4,e0),op(e0,e4)) = op(op(e4,e0),e4),
inference(resolve,[$cnf( $equal(op(e0,e4),e4) )],[refute_3_169,refute_3_197]) ).
cnf(refute_3_199,plain,
( op(op(e4,e0),op(e0,e4)) != e0
| op(op(e4,e0),op(e0,e4)) != op(op(e4,e0),e4)
| op(op(e4,e0),e4) = e0 ),
introduced(tautology,[equality,[$cnf( $equal(op(op(e4,e0),op(e0,e4)),e0) ),[0],$fot(op(op(e4,e0),e4))]]) ).
cnf(refute_3_200,plain,
( op(op(e4,e0),op(e0,e4)) != e0
| op(op(e4,e0),e4) = e0 ),
inference(resolve,[$cnf( $equal(op(op(e4,e0),op(e0,e4)),op(op(e4,e0),e4)) )],[refute_3_198,refute_3_199]) ).
cnf(refute_3_201,plain,
op(op(e4,e0),e4) = e0,
inference(resolve,[$cnf( $equal(op(op(e4,e0),op(e0,e4)),e0) )],[refute_3_194,refute_3_200]) ).
cnf(refute_3_202,plain,
( op(e4,e0) = e0
| op(e4,e0) = e1
| op(e4,e0) = e2
| op(e4,e0) = e3
| op(e4,e0) = e4 ),
inference(canonicalize,[],[normalize_3_35]) ).
cnf(refute_3_203,plain,
op(e4,e0) != op(e4,e4),
inference(canonicalize,[],[normalize_3_36]) ).
cnf(refute_3_204,plain,
( op(e4,e0) != e1
| op(e4,e4) != e1
| op(e4,e0) = op(e4,e4) ),
introduced(tautology,[equality,[$cnf( ~ $equal(op(e4,e0),op(e4,e4)) ),[1],$fot(e1)]]) ).
cnf(refute_3_205,plain,
( op(e4,e0) != e1
| op(e4,e0) = op(e4,e4) ),
inference(resolve,[$cnf( $equal(op(e4,e4),e1) )],[refute_3_7,refute_3_204]) ).
cnf(refute_3_206,plain,
op(e4,e0) != e1,
inference(resolve,[$cnf( $equal(op(e4,e0),op(e4,e4)) )],[refute_3_205,refute_3_203]) ).
cnf(refute_3_207,plain,
( op(e4,e0) = e0
| op(e4,e0) = e2
| op(e4,e0) = e3
| op(e4,e0) = e4 ),
inference(resolve,[$cnf( $equal(op(e4,e0),e1) )],[refute_3_202,refute_3_206]) ).
cnf(refute_3_208,plain,
op(e0,e0) != op(e4,e0),
inference(canonicalize,[],[normalize_3_37]) ).
cnf(refute_3_209,plain,
( e3 != op(e4,e0)
| op(e0,e0) != e3
| op(e0,e0) = op(e4,e0) ),
introduced(tautology,[equality,[$cnf( $equal(op(e0,e0),e3) ),[1],$fot(op(e4,e0))]]) ).
cnf(refute_3_210,plain,
( e3 != op(e4,e0)
| op(e0,e0) = op(e4,e0) ),
inference(resolve,[$cnf( $equal(op(e0,e0),e3) )],[refute_3_126,refute_3_209]) ).
cnf(refute_3_211,plain,
e3 != op(e4,e0),
inference(resolve,[$cnf( $equal(op(e0,e0),op(e4,e0)) )],[refute_3_210,refute_3_208]) ).
cnf(refute_3_212,plain,
( op(e4,e0) != e3
| e3 = op(e4,e0) ),
inference(subst,[],[refute_3_5:[bind(X,$fot(op(e4,e0))),bind(Y,$fot(e3))]]) ).
cnf(refute_3_213,plain,
op(e4,e0) != e3,
inference(resolve,[$cnf( $equal(e3,op(e4,e0)) )],[refute_3_212,refute_3_211]) ).
cnf(refute_3_214,plain,
( op(e4,e0) = e0
| op(e4,e0) = e2
| op(e4,e0) = e4 ),
inference(resolve,[$cnf( $equal(op(e4,e0),e3) )],[refute_3_207,refute_3_213]) ).
cnf(refute_3_215,plain,
op(e4,e0) != op(e4,e1),
inference(canonicalize,[],[normalize_3_38]) ).
cnf(refute_3_216,plain,
( op(e4,e0) != e0
| op(e4,e1) != e0
| op(e4,e0) = op(e4,e1) ),
introduced(tautology,[equality,[$cnf( ~ $equal(op(e4,e0),op(e4,e1)) ),[1],$fot(e0)]]) ).
cnf(refute_3_217,plain,
( op(e4,e0) != e0
| op(e4,e0) = op(e4,e1) ),
inference(resolve,[$cnf( $equal(op(e4,e1),e0) )],[refute_3_77,refute_3_216]) ).
cnf(refute_3_218,plain,
op(e4,e0) != e0,
inference(resolve,[$cnf( $equal(op(e4,e0),op(e4,e1)) )],[refute_3_217,refute_3_215]) ).
cnf(refute_3_219,plain,
( op(e4,e0) = e2
| op(e4,e0) = e4 ),
inference(resolve,[$cnf( $equal(op(e4,e0),e0) )],[refute_3_214,refute_3_218]) ).
cnf(refute_3_220,plain,
( op(e4,e0) != e4
| op(op(e4,e0),e4) != e0
| op(e4,e4) = e0 ),
introduced(tautology,[equality,[$cnf( $equal(op(op(e4,e0),e4),e0) ),[0,0],$fot(e4)]]) ).
cnf(refute_3_221,plain,
( op(op(e4,e0),e4) != e0
| op(e4,e0) = e2
| op(e4,e4) = e0 ),
inference(resolve,[$cnf( $equal(op(e4,e0),e4) )],[refute_3_219,refute_3_220]) ).
cnf(refute_3_222,plain,
( op(e4,e0) = e2
| op(e4,e4) = e0 ),
inference(resolve,[$cnf( $equal(op(op(e4,e0),e4),e0) )],[refute_3_201,refute_3_221]) ).
cnf(refute_3_223,plain,
( op(e4,e4) != e0
| op(e4,e4) != e1
| e1 = e0 ),
introduced(tautology,[equality,[$cnf( $equal(op(e4,e4),e0) ),[0],$fot(e1)]]) ).
cnf(refute_3_224,plain,
( op(e4,e4) != e0
| e1 = e0 ),
inference(resolve,[$cnf( $equal(op(e4,e4),e1) )],[refute_3_7,refute_3_223]) ).
cnf(refute_3_225,plain,
( e1 = e0
| op(e4,e0) = e2 ),
inference(resolve,[$cnf( $equal(op(e4,e4),e0) )],[refute_3_222,refute_3_224]) ).
cnf(refute_3_226,plain,
e0 != e1,
inference(canonicalize,[],[normalize_3_39]) ).
cnf(refute_3_227,plain,
( e1 != e0
| e0 = e1 ),
inference(subst,[],[refute_3_5:[bind(X,$fot(e1)),bind(Y,$fot(e0))]]) ).
cnf(refute_3_228,plain,
e1 != e0,
inference(resolve,[$cnf( $equal(e0,e1) )],[refute_3_227,refute_3_226]) ).
cnf(refute_3_229,plain,
op(e4,e0) = e2,
inference(resolve,[$cnf( $equal(e1,e0) )],[refute_3_225,refute_3_228]) ).
cnf(refute_3_230,plain,
( op(e1,e0) != e2
| op(e4,e0) != e2
| op(e1,e0) = op(e4,e0) ),
introduced(tautology,[equality,[$cnf( ~ $equal(op(e1,e0),op(e4,e0)) ),[1],$fot(e2)]]) ).
cnf(refute_3_231,plain,
( op(e1,e0) != e2
| op(e1,e0) = op(e4,e0) ),
inference(resolve,[$cnf( $equal(op(e4,e0),e2) )],[refute_3_229,refute_3_230]) ).
cnf(refute_3_232,plain,
op(e1,e0) != e2,
inference(resolve,[$cnf( $equal(op(e1,e0),op(e4,e0)) )],[refute_3_231,refute_3_193]) ).
cnf(refute_3_233,plain,
( op(e1,e0) = e0
| op(e1,e0) = e1
| op(e1,e0) = e4 ),
inference(resolve,[$cnf( $equal(op(e1,e0),e2) )],[refute_3_192,refute_3_232]) ).
cnf(refute_3_234,plain,
op(e1,e0) != op(e1,e1),
inference(canonicalize,[],[normalize_3_40]) ).
cnf(refute_3_235,plain,
( op(e1,e0) != e4
| op(e1,e1) != e4
| op(e1,e0) = op(e1,e1) ),
introduced(tautology,[equality,[$cnf( ~ $equal(op(e1,e0),op(e1,e1)) ),[1],$fot(e4)]]) ).
cnf(refute_3_236,plain,
( op(e1,e0) != e4
| op(e1,e0) = op(e1,e1) ),
inference(resolve,[$cnf( $equal(op(e1,e1),e4) )],[refute_3_55,refute_3_235]) ).
cnf(refute_3_237,plain,
op(e1,e0) != e4,
inference(resolve,[$cnf( $equal(op(e1,e0),op(e1,e1)) )],[refute_3_236,refute_3_234]) ).
cnf(refute_3_238,plain,
( op(e1,e0) = e0
| op(e1,e0) = e1 ),
inference(resolve,[$cnf( $equal(op(e1,e0),e4) )],[refute_3_233,refute_3_237]) ).
cnf(refute_3_239,plain,
( op(e1,e0) != e1
| op(op(e1,e0),e2) != e0
| op(e1,e2) = e0 ),
introduced(tautology,[equality,[$cnf( $equal(op(op(e1,e0),e2),e0) ),[0,0],$fot(e1)]]) ).
cnf(refute_3_240,plain,
( op(op(e1,e0),e2) != e0
| op(e1,e0) = e0
| op(e1,e2) = e0 ),
inference(resolve,[$cnf( $equal(op(e1,e0),e1) )],[refute_3_238,refute_3_239]) ).
cnf(refute_3_241,plain,
( op(e1,e0) = e0
| op(e1,e2) = e0 ),
inference(resolve,[$cnf( $equal(op(op(e1,e0),e2),e0) )],[refute_3_184,refute_3_240]) ).
cnf(refute_3_242,plain,
( e0 != e0
| op(e1,e2) != e0
| e0 = op(e1,e2) ),
introduced(tautology,[equality,[$cnf( ~ $equal(e0,op(e1,e2)) ),[1],$fot(e0)]]) ).
cnf(refute_3_243,plain,
( e0 != e0
| e0 = op(e1,e2)
| op(e1,e0) = e0 ),
inference(resolve,[$cnf( $equal(op(e1,e2),e0) )],[refute_3_241,refute_3_242]) ).
cnf(refute_3_244,plain,
( e0 != e0
| op(e0,e2) = e1
| op(e1,e0) = e0 ),
inference(resolve,[$cnf( $equal(e0,op(e1,e2)) )],[refute_3_243,refute_3_176]) ).
cnf(refute_3_245,plain,
e0 = e0,
introduced(tautology,[refl,[$fot(e0)]]) ).
cnf(refute_3_246,plain,
( op(e0,e2) = e1
| op(e1,e0) = e0 ),
inference(resolve,[$cnf( $equal(e0,e0) )],[refute_3_245,refute_3_244]) ).
cnf(refute_3_247,plain,
( op(e1,e0) != e0
| op(e2,op(e1,e0)) != e1
| op(e2,e0) = e1 ),
introduced(tautology,[equality,[$cnf( $equal(op(e2,op(e1,e0)),e1) ),[0,1],$fot(e0)]]) ).
cnf(refute_3_248,plain,
( op(e2,op(e1,e0)) != e1
| op(e0,e2) = e1
| op(e2,e0) = e1 ),
inference(resolve,[$cnf( $equal(op(e1,e0),e0) )],[refute_3_246,refute_3_247]) ).
cnf(refute_3_249,plain,
( op(e0,e2) = e1
| op(e2,e0) = e1 ),
inference(resolve,[$cnf( $equal(op(e2,op(e1,e0)),e1) )],[refute_3_99,refute_3_248]) ).
cnf(refute_3_250,plain,
( e1 != e1
| op(e2,e0) != e1
| op(e2,e0) = e1 ),
introduced(tautology,[equality,[$cnf( $equal(op(e2,e0),e1) ),[1],$fot(e1)]]) ).
cnf(refute_3_251,plain,
( e1 != e1
| op(e0,e2) = e1
| op(e2,e0) = e1 ),
inference(resolve,[$cnf( $equal(op(e2,e0),e1) )],[refute_3_249,refute_3_250]) ).
cnf(refute_3_252,plain,
( e1 != e1
| op(e0,e2) = e1
| op(e2,e1) = e3 ),
inference(resolve,[$cnf( $equal(op(e2,e0),e1) )],[refute_3_251,refute_3_91]) ).
cnf(refute_3_253,plain,
e1 = e1,
introduced(tautology,[refl,[$fot(e1)]]) ).
cnf(refute_3_254,plain,
( op(e0,e2) = e1
| op(e2,e1) = e3 ),
inference(resolve,[$cnf( $equal(e1,e1) )],[refute_3_253,refute_3_252]) ).
cnf(refute_3_255,plain,
op(e0,e2) != op(e0,e3),
inference(canonicalize,[],[normalize_3_41]) ).
cnf(refute_3_256,plain,
( e1 != op(e0,e3)
| op(e0,e2) != e1
| op(e0,e2) = op(e0,e3) ),
introduced(tautology,[equality,[$cnf( $equal(op(e0,e2),e1) ),[1],$fot(op(e0,e3))]]) ).
cnf(refute_3_257,plain,
( e1 != op(e0,e3)
| op(e0,e2) = e0
| op(e0,e2) = op(e0,e3) ),
inference(resolve,[$cnf( $equal(op(e0,e2),e1) )],[refute_3_173,refute_3_256]) ).
cnf(refute_3_258,plain,
( e1 != op(e0,e3)
| op(e0,e2) = e0 ),
inference(resolve,[$cnf( $equal(op(e0,e2),op(e0,e3)) )],[refute_3_257,refute_3_255]) ).
cnf(refute_3_259,plain,
( op(e0,e3) = e0
| op(e0,e3) = e1
| op(e0,e3) = e2
| op(e0,e3) = e3
| op(e0,e3) = e4 ),
inference(canonicalize,[],[normalize_3_42]) ).
cnf(refute_3_260,plain,
op(e0,e1) != op(e0,e3),
inference(canonicalize,[],[normalize_3_43]) ).
cnf(refute_3_261,plain,
( e2 != op(e0,e3)
| op(e0,e1) != e2
| op(e0,e1) = op(e0,e3) ),
introduced(tautology,[equality,[$cnf( $equal(op(e0,e1),e2) ),[1],$fot(op(e0,e3))]]) ).
cnf(refute_3_262,plain,
( e2 != op(e0,e3)
| op(e0,e1) = op(e0,e3) ),
inference(resolve,[$cnf( $equal(op(e0,e1),e2) )],[refute_3_28,refute_3_261]) ).
cnf(refute_3_263,plain,
e2 != op(e0,e3),
inference(resolve,[$cnf( $equal(op(e0,e1),op(e0,e3)) )],[refute_3_262,refute_3_260]) ).
cnf(refute_3_264,plain,
( op(e0,e3) != e2
| e2 = op(e0,e3) ),
inference(subst,[],[refute_3_5:[bind(X,$fot(op(e0,e3))),bind(Y,$fot(e2))]]) ).
cnf(refute_3_265,plain,
op(e0,e3) != e2,
inference(resolve,[$cnf( $equal(e2,op(e0,e3)) )],[refute_3_264,refute_3_263]) ).
cnf(refute_3_266,plain,
( op(e0,e3) = e0
| op(e0,e3) = e1
| op(e0,e3) = e3
| op(e0,e3) = e4 ),
inference(resolve,[$cnf( $equal(op(e0,e3),e2) )],[refute_3_259,refute_3_265]) ).
cnf(refute_3_267,plain,
( op(e0,e3) = e0
| op(e0,e3) = e1
| op(e0,e3) = e4 ),
inference(resolve,[$cnf( $equal(op(e0,e3),e3) )],[refute_3_266,refute_3_168]) ).
cnf(refute_3_268,plain,
op(e0,e3) != op(e3,e3),
inference(canonicalize,[],[normalize_3_44]) ).
cnf(refute_3_269,plain,
( op(e0,e3) != e0
| op(e3,e3) != e0
| op(e0,e3) = op(e3,e3) ),
introduced(tautology,[equality,[$cnf( ~ $equal(op(e0,e3),op(e3,e3)) ),[1],$fot(e0)]]) ).
cnf(refute_3_270,plain,
( op(e0,e3) != e0
| op(e0,e3) = op(e3,e3) ),
inference(resolve,[$cnf( $equal(op(e3,e3),e0) )],[refute_3_155,refute_3_269]) ).
cnf(refute_3_271,plain,
op(e0,e3) != e0,
inference(resolve,[$cnf( $equal(op(e0,e3),op(e3,e3)) )],[refute_3_270,refute_3_268]) ).
cnf(refute_3_272,plain,
( op(e0,e3) = e1
| op(e0,e3) = e4 ),
inference(resolve,[$cnf( $equal(op(e0,e3),e0) )],[refute_3_267,refute_3_271]) ).
cnf(refute_3_273,plain,
op(e0,e3) != op(e0,e4),
inference(canonicalize,[],[normalize_3_45]) ).
cnf(refute_3_274,plain,
( op(e0,e3) != e4
| op(e0,e4) != e4
| op(e0,e3) = op(e0,e4) ),
introduced(tautology,[equality,[$cnf( ~ $equal(op(e0,e3),op(e0,e4)) ),[1],$fot(e4)]]) ).
cnf(refute_3_275,plain,
( op(e0,e3) != e4
| op(e0,e3) = op(e0,e4) ),
inference(resolve,[$cnf( $equal(op(e0,e4),e4) )],[refute_3_169,refute_3_274]) ).
cnf(refute_3_276,plain,
op(e0,e3) != e4,
inference(resolve,[$cnf( $equal(op(e0,e3),op(e0,e4)) )],[refute_3_275,refute_3_273]) ).
cnf(refute_3_277,plain,
op(e0,e3) = e1,
inference(resolve,[$cnf( $equal(op(e0,e3),e4) )],[refute_3_272,refute_3_276]) ).
cnf(refute_3_278,plain,
( e1 != e1
| op(e0,e3) != e1
| e1 = op(e0,e3) ),
introduced(tautology,[equality,[$cnf( ~ $equal(e1,op(e0,e3)) ),[1],$fot(e1)]]) ).
cnf(refute_3_279,plain,
( e1 != e1
| e1 = op(e0,e3) ),
inference(resolve,[$cnf( $equal(op(e0,e3),e1) )],[refute_3_277,refute_3_278]) ).
cnf(refute_3_280,plain,
( e1 != e1
| op(e0,e2) = e0 ),
inference(resolve,[$cnf( $equal(e1,op(e0,e3)) )],[refute_3_279,refute_3_258]) ).
cnf(refute_3_281,plain,
op(e0,e2) = e0,
inference(resolve,[$cnf( $equal(e1,e1) )],[refute_3_253,refute_3_280]) ).
cnf(refute_3_282,plain,
( op(e0,e2) != e0
| op(e0,e2) != e1
| e0 = e1 ),
introduced(tautology,[equality,[$cnf( $equal(op(e0,e2),e1) ),[0],$fot(e0)]]) ).
cnf(refute_3_283,plain,
( op(e0,e2) != e1
| e0 = e1 ),
inference(resolve,[$cnf( $equal(op(e0,e2),e0) )],[refute_3_281,refute_3_282]) ).
cnf(refute_3_284,plain,
( e0 = e1
| op(e2,e1) = e3 ),
inference(resolve,[$cnf( $equal(op(e0,e2),e1) )],[refute_3_254,refute_3_283]) ).
cnf(refute_3_285,plain,
op(e2,e1) = e3,
inference(resolve,[$cnf( $equal(e0,e1) )],[refute_3_284,refute_3_226]) ).
cnf(refute_3_286,plain,
( op(e2,e1) != e1
| op(e2,e1) != e3
| e3 = e1 ),
introduced(tautology,[equality,[$cnf( $equal(op(e2,e1),e1) ),[0],$fot(e3)]]) ).
cnf(refute_3_287,plain,
( op(e2,e1) != e1
| e3 = e1 ),
inference(resolve,[$cnf( $equal(op(e2,e1),e3) )],[refute_3_285,refute_3_286]) ).
cnf(refute_3_288,plain,
( e3 = e1
| e4 = e1
| op(e3,e1) = e1 ),
inference(resolve,[$cnf( $equal(op(e2,e1),e1) )],[refute_3_58,refute_3_287]) ).
cnf(refute_3_289,plain,
e1 != e3,
inference(canonicalize,[],[normalize_3_46]) ).
cnf(refute_3_290,plain,
( e3 != e1
| e1 = e3 ),
inference(subst,[],[refute_3_5:[bind(X,$fot(e3)),bind(Y,$fot(e1))]]) ).
cnf(refute_3_291,plain,
e3 != e1,
inference(resolve,[$cnf( $equal(e1,e3) )],[refute_3_290,refute_3_289]) ).
cnf(refute_3_292,plain,
( e4 = e1
| op(e3,e1) = e1 ),
inference(resolve,[$cnf( $equal(e3,e1) )],[refute_3_288,refute_3_291]) ).
cnf(refute_3_293,plain,
e1 != e4,
inference(canonicalize,[],[normalize_3_47]) ).
cnf(refute_3_294,plain,
( e4 != e1
| e1 = e4 ),
inference(subst,[],[refute_3_5:[bind(X,$fot(e4)),bind(Y,$fot(e1))]]) ).
cnf(refute_3_295,plain,
e4 != e1,
inference(resolve,[$cnf( $equal(e1,e4) )],[refute_3_294,refute_3_293]) ).
cnf(refute_3_296,plain,
op(e3,e1) = e1,
inference(resolve,[$cnf( $equal(e4,e1) )],[refute_3_292,refute_3_295]) ).
cnf(refute_3_297,plain,
op(e3,e1) != e1,
inference(canonicalize,[],[normalize_3_48]) ).
cnf(refute_3_298,plain,
$false,
inference(resolve,[$cnf( $equal(op(e3,e1),e1) )],[refute_3_296,refute_3_297]) ).
fof(negate_4_0,plain,
~ ( ( ( ( op(e0,e0) != e0
& op(e1,e0) != e1
& op(e2,e0) != e2
& op(e3,e0) != e3
& op(e4,e0) != e4 )
| ( op(e0,e1) != e0
& op(e1,e1) != e1
& op(e2,e1) != e2
& op(e3,e1) != e3
& op(e4,e1) != e4 )
| ( op(e0,e2) != e0
& op(e1,e2) != e1
& op(e2,e2) != e2
& op(e3,e2) != e3
& op(e4,e2) != e4 )
| ( op(e0,e3) != e0
& op(e1,e3) != e1
& op(e2,e3) != e2
& op(e3,e3) != e3
& op(e4,e3) != e4 )
| ( op(e0,e4) != e0
& op(e1,e4) != e1
& op(e2,e4) != e2
& op(e3,e4) != e3
& op(e4,e4) != e4 ) )
& ~ ( op(e0,e0) != e0
& op(e0,e1) != e1
& op(e0,e2) != e2
& op(e0,e3) != e3
& op(e0,e4) != e4 )
& ~ ( op(e1,e0) != e0
& op(e1,e1) != e1
& op(e1,e2) != e2
& op(e1,e3) != e3
& op(e1,e4) != e4 )
& ~ ( op(e2,e0) != e0
& op(e2,e1) != e1
& op(e2,e2) != e2
& op(e2,e3) != e3
& op(e2,e4) != e4 )
& ~ ( op(e3,e0) != e0
& op(e3,e1) != e1
& op(e3,e2) != e2
& op(e3,e3) != e3
& op(e3,e4) != e4 )
& op(e4,e0) != e0
& op(e4,e1) != e1
& op(e4,e2) != e2
& op(e4,e3) != e3 )
=> op(e4,e4) = e4 ),
inference(negate,[],[subgoal_4]) ).
fof(normalize_4_0,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_4_1,plain,
( op(e4,e0) = e3
| op(e4,e1) = e3
| op(e4,e2) = e3
| op(e4,e3) = e3
| op(e4,e4) = e3 ),
inference(conjunct,[],[normalize_4_0]) ).
fof(normalize_4_2,plain,
( e0 = op(e4,op(e4,e4))
& e1 = op(e4,e4)
& e2 = op(op(e4,op(e4,e4)),op(e4,e4))
& e3 = op(op(e4,op(e4,e4)),op(e4,op(e4,e4))) ),
inference(canonicalize,[],[ax6]) ).
fof(normalize_4_3,plain,
e1 = op(e4,e4),
inference(conjunct,[],[normalize_4_2]) ).
fof(normalize_4_4,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_4_5,plain,
e1 != e3,
inference(conjunct,[],[normalize_4_4]) ).
fof(normalize_4_6,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_4_7,plain,
op(e0,e0) != op(e4,e0),
inference(conjunct,[],[normalize_4_6]) ).
fof(normalize_4_8,plain,
e3 = op(op(e4,op(e4,e4)),op(e4,op(e4,e4))),
inference(conjunct,[],[normalize_4_2]) ).
fof(normalize_4_9,plain,
e0 = op(e4,op(e4,e4)),
inference(conjunct,[],[normalize_4_2]) ).
fof(normalize_4_10,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_4_11,plain,
op(op(e0,e4),op(e4,e0)) = e4,
inference(conjunct,[],[normalize_4_10]) ).
fof(normalize_4_12,plain,
( op(e4,e0) != e0
& op(e4,e1) != e1
& op(e4,e2) != e2
& op(e4,e3) != e3
& op(e4,e4) != e4
& ( op(e0,e0) = e0
| op(e0,e1) = e1
| op(e0,e2) = e2
| op(e0,e3) = e3
| op(e0,e4) = e4 )
& ( op(e1,e0) = e0
| op(e1,e1) = e1
| op(e1,e2) = e2
| op(e1,e3) = e3
| op(e1,e4) = e4 )
& ( op(e2,e0) = e0
| op(e2,e1) = e1
| op(e2,e2) = e2
| op(e2,e3) = e3
| op(e2,e4) = e4 )
& ( op(e3,e0) = e0
| op(e3,e1) = e1
| op(e3,e2) = e2
| op(e3,e3) = e3
| op(e3,e4) = e4 )
& ( ( op(e0,e0) != e0
& op(e1,e0) != e1
& op(e2,e0) != e2
& op(e3,e0) != e3
& op(e4,e0) != e4 )
| ( op(e0,e1) != e0
& op(e1,e1) != e1
& op(e2,e1) != e2
& op(e3,e1) != e3
& op(e4,e1) != e4 )
| ( op(e0,e2) != e0
& op(e1,e2) != e1
& op(e2,e2) != e2
& op(e3,e2) != e3
& op(e4,e2) != e4 )
| ( op(e0,e3) != e0
& op(e1,e3) != e1
& op(e2,e3) != e2
& op(e3,e3) != e3
& op(e4,e3) != e4 )
| ( op(e0,e4) != e0
& op(e1,e4) != e1
& op(e2,e4) != e2
& op(e3,e4) != e3
& op(e4,e4) != e4 ) ) ),
inference(canonicalize,[],[negate_4_0]) ).
fof(normalize_4_13,plain,
( op(e0,e0) = e0
| op(e0,e1) = e1
| op(e0,e2) = e2
| op(e0,e3) = e3
| op(e0,e4) = e4 ),
inference(conjunct,[],[normalize_4_12]) ).
fof(normalize_4_14,plain,
e2 = op(op(e4,op(e4,e4)),op(e4,e4)),
inference(conjunct,[],[normalize_4_2]) ).
fof(normalize_4_15,plain,
e1 != e2,
inference(conjunct,[],[normalize_4_4]) ).
fof(normalize_4_16,plain,
e0 != e3,
inference(conjunct,[],[normalize_4_4]) ).
fof(normalize_4_17,plain,
op(e0,e1) != op(e0,e2),
inference(conjunct,[],[normalize_4_6]) ).
fof(normalize_4_18,plain,
op(e0,e0) != op(e0,e3),
inference(conjunct,[],[normalize_4_6]) ).
fof(normalize_4_19,plain,
op(op(e4,e0),op(e0,e4)) = e0,
inference(conjunct,[],[normalize_4_10]) ).
fof(normalize_4_20,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_4_21,plain,
( op(e4,e0) = e0
| op(e4,e0) = e1
| op(e4,e0) = e2
| op(e4,e0) = e3
| op(e4,e0) = e4 ),
inference(conjunct,[],[normalize_4_20]) ).
fof(normalize_4_22,plain,
op(e4,e0) != op(e4,e4),
inference(conjunct,[],[normalize_4_6]) ).
fof(normalize_4_23,plain,
op(e4,e0) != e0,
inference(conjunct,[],[normalize_4_12]) ).
fof(normalize_4_24,plain,
op(e4,e1) != e1,
inference(conjunct,[],[normalize_4_12]) ).
fof(normalize_4_25,plain,
e3 != e4,
inference(conjunct,[],[normalize_4_4]) ).
fof(normalize_4_26,plain,
op(e4,e3) != e3,
inference(conjunct,[],[normalize_4_12]) ).
cnf(refute_4_0,plain,
( op(e4,e0) = e3
| op(e4,e1) = e3
| op(e4,e2) = e3
| op(e4,e3) = e3
| op(e4,e4) = e3 ),
inference(canonicalize,[],[normalize_4_1]) ).
cnf(refute_4_1,plain,
e1 = op(e4,e4),
inference(canonicalize,[],[normalize_4_3]) ).
cnf(refute_4_2,plain,
X = X,
introduced(tautology,[refl,[$fot(X)]]) ).
cnf(refute_4_3,plain,
( X != X
| X != Y
| Y = X ),
introduced(tautology,[equality,[$cnf( $equal(X,X) ),[0],$fot(Y)]]) ).
cnf(refute_4_4,plain,
( X != Y
| Y = X ),
inference(resolve,[$cnf( $equal(X,X) )],[refute_4_2,refute_4_3]) ).
cnf(refute_4_5,plain,
( e1 != op(e4,e4)
| op(e4,e4) = e1 ),
inference(subst,[],[refute_4_4:[bind(X,$fot(e1)),bind(Y,$fot(op(e4,e4)))]]) ).
cnf(refute_4_6,plain,
op(e4,e4) = e1,
inference(resolve,[$cnf( $equal(e1,op(e4,e4)) )],[refute_4_1,refute_4_5]) ).
cnf(refute_4_7,plain,
( op(e4,e4) != e1
| op(e4,e4) != e3
| e1 = e3 ),
introduced(tautology,[equality,[$cnf( $equal(op(e4,e4),e3) ),[0],$fot(e1)]]) ).
cnf(refute_4_8,plain,
( op(e4,e4) != e3
| e1 = e3 ),
inference(resolve,[$cnf( $equal(op(e4,e4),e1) )],[refute_4_6,refute_4_7]) ).
cnf(refute_4_9,plain,
( e1 = e3
| op(e4,e0) = e3
| op(e4,e1) = e3
| op(e4,e2) = e3
| op(e4,e3) = e3 ),
inference(resolve,[$cnf( $equal(op(e4,e4),e3) )],[refute_4_0,refute_4_8]) ).
cnf(refute_4_10,plain,
e1 != e3,
inference(canonicalize,[],[normalize_4_5]) ).
cnf(refute_4_11,plain,
( op(e4,e0) = e3
| op(e4,e1) = e3
| op(e4,e2) = e3
| op(e4,e3) = e3 ),
inference(resolve,[$cnf( $equal(e1,e3) )],[refute_4_9,refute_4_10]) ).
cnf(refute_4_12,plain,
op(e0,e0) != op(e4,e0),
inference(canonicalize,[],[normalize_4_7]) ).
cnf(refute_4_13,plain,
e3 = op(op(e4,op(e4,e4)),op(e4,op(e4,e4))),
inference(canonicalize,[],[normalize_4_8]) ).
cnf(refute_4_14,plain,
e0 = op(e4,op(e4,e4)),
inference(canonicalize,[],[normalize_4_9]) ).
cnf(refute_4_15,plain,
( e0 != op(e4,op(e4,e4))
| op(e4,op(e4,e4)) = e0 ),
inference(subst,[],[refute_4_4:[bind(X,$fot(e0)),bind(Y,$fot(op(e4,op(e4,e4))))]]) ).
cnf(refute_4_16,plain,
op(e4,op(e4,e4)) = e0,
inference(resolve,[$cnf( $equal(e0,op(e4,op(e4,e4))) )],[refute_4_14,refute_4_15]) ).
cnf(refute_4_17,plain,
op(e0,op(e4,op(e4,e4))) = op(e0,op(e4,op(e4,e4))),
introduced(tautology,[refl,[$fot(op(e0,op(e4,op(e4,e4))))]]) ).
cnf(refute_4_18,plain,
( op(e0,op(e4,op(e4,e4))) != op(e0,op(e4,op(e4,e4)))
| op(e4,op(e4,e4)) != e0
| op(e0,op(e4,op(e4,e4))) = op(e0,e0) ),
introduced(tautology,[equality,[$cnf( $equal(op(e0,op(e4,op(e4,e4))),op(e0,op(e4,op(e4,e4)))) ),[1,1],$fot(e0)]]) ).
cnf(refute_4_19,plain,
( op(e4,op(e4,e4)) != e0
| op(e0,op(e4,op(e4,e4))) = op(e0,e0) ),
inference(resolve,[$cnf( $equal(op(e0,op(e4,op(e4,e4))),op(e0,op(e4,op(e4,e4)))) )],[refute_4_17,refute_4_18]) ).
cnf(refute_4_20,plain,
op(e0,op(e4,op(e4,e4))) = op(e0,e0),
inference(resolve,[$cnf( $equal(op(e4,op(e4,e4)),e0) )],[refute_4_16,refute_4_19]) ).
cnf(refute_4_21,plain,
op(op(e4,op(e4,e4)),op(e4,op(e4,e4))) = op(op(e4,op(e4,e4)),op(e4,op(e4,e4))),
introduced(tautology,[refl,[$fot(op(op(e4,op(e4,e4)),op(e4,op(e4,e4))))]]) ).
cnf(refute_4_22,plain,
( op(e4,op(e4,e4)) != e0
| op(op(e4,op(e4,e4)),op(e4,op(e4,e4))) != op(op(e4,op(e4,e4)),op(e4,op(e4,e4)))
| op(op(e4,op(e4,e4)),op(e4,op(e4,e4))) = op(e0,op(e4,op(e4,e4))) ),
introduced(tautology,[equality,[$cnf( $equal(op(op(e4,op(e4,e4)),op(e4,op(e4,e4))),op(op(e4,op(e4,e4)),op(e4,op(e4,e4)))) ),[1,0],$fot(e0)]]) ).
cnf(refute_4_23,plain,
( op(e4,op(e4,e4)) != e0
| op(op(e4,op(e4,e4)),op(e4,op(e4,e4))) = op(e0,op(e4,op(e4,e4))) ),
inference(resolve,[$cnf( $equal(op(op(e4,op(e4,e4)),op(e4,op(e4,e4))),op(op(e4,op(e4,e4)),op(e4,op(e4,e4)))) )],[refute_4_21,refute_4_22]) ).
cnf(refute_4_24,plain,
op(op(e4,op(e4,e4)),op(e4,op(e4,e4))) = op(e0,op(e4,op(e4,e4))),
inference(resolve,[$cnf( $equal(op(e4,op(e4,e4)),e0) )],[refute_4_16,refute_4_23]) ).
cnf(refute_4_25,plain,
( Y != X
| Y != Z
| X = Z ),
introduced(tautology,[equality,[$cnf( $equal(Y,Z) ),[0],$fot(X)]]) ).
cnf(refute_4_26,plain,
( X != Y
| Y != Z
| X = Z ),
inference(resolve,[$cnf( $equal(Y,X) )],[refute_4_4,refute_4_25]) ).
cnf(refute_4_27,plain,
( op(e0,op(e4,op(e4,e4))) != op(e0,e0)
| op(op(e4,op(e4,e4)),op(e4,op(e4,e4))) != op(e0,op(e4,op(e4,e4)))
| op(op(e4,op(e4,e4)),op(e4,op(e4,e4))) = op(e0,e0) ),
inference(subst,[],[refute_4_26:[bind(X,$fot(op(op(e4,op(e4,e4)),op(e4,op(e4,e4))))),bind(Y,$fot(op(e0,op(e4,op(e4,e4))))),bind(Z,$fot(op(e0,e0)))]]) ).
cnf(refute_4_28,plain,
( op(e0,op(e4,op(e4,e4))) != op(e0,e0)
| op(op(e4,op(e4,e4)),op(e4,op(e4,e4))) = op(e0,e0) ),
inference(resolve,[$cnf( $equal(op(op(e4,op(e4,e4)),op(e4,op(e4,e4))),op(e0,op(e4,op(e4,e4)))) )],[refute_4_24,refute_4_27]) ).
cnf(refute_4_29,plain,
op(op(e4,op(e4,e4)),op(e4,op(e4,e4))) = op(e0,e0),
inference(resolve,[$cnf( $equal(op(e0,op(e4,op(e4,e4))),op(e0,e0)) )],[refute_4_20,refute_4_28]) ).
cnf(refute_4_30,plain,
( e3 != op(op(e4,op(e4,e4)),op(e4,op(e4,e4)))
| op(op(e4,op(e4,e4)),op(e4,op(e4,e4))) != op(e0,e0)
| e3 = op(e0,e0) ),
introduced(tautology,[equality,[$cnf( ~ $equal(e3,op(e0,e0)) ),[0],$fot(op(op(e4,op(e4,e4)),op(e4,op(e4,e4))))]]) ).
cnf(refute_4_31,plain,
( e3 != op(op(e4,op(e4,e4)),op(e4,op(e4,e4)))
| e3 = op(e0,e0) ),
inference(resolve,[$cnf( $equal(op(op(e4,op(e4,e4)),op(e4,op(e4,e4))),op(e0,e0)) )],[refute_4_29,refute_4_30]) ).
cnf(refute_4_32,plain,
e3 = op(e0,e0),
inference(resolve,[$cnf( $equal(e3,op(op(e4,op(e4,e4)),op(e4,op(e4,e4)))) )],[refute_4_13,refute_4_31]) ).
cnf(refute_4_33,plain,
( e3 != op(e0,e0)
| op(e0,e0) = e3 ),
inference(subst,[],[refute_4_4:[bind(X,$fot(e3)),bind(Y,$fot(op(e0,e0)))]]) ).
cnf(refute_4_34,plain,
op(e0,e0) = e3,
inference(resolve,[$cnf( $equal(e3,op(e0,e0)) )],[refute_4_32,refute_4_33]) ).
cnf(refute_4_35,plain,
( e3 != op(e4,e0)
| op(e0,e0) != e3
| op(e0,e0) = op(e4,e0) ),
introduced(tautology,[equality,[$cnf( $equal(op(e0,e0),e3) ),[1],$fot(op(e4,e0))]]) ).
cnf(refute_4_36,plain,
( e3 != op(e4,e0)
| op(e0,e0) = op(e4,e0) ),
inference(resolve,[$cnf( $equal(op(e0,e0),e3) )],[refute_4_34,refute_4_35]) ).
cnf(refute_4_37,plain,
e3 != op(e4,e0),
inference(resolve,[$cnf( $equal(op(e0,e0),op(e4,e0)) )],[refute_4_36,refute_4_12]) ).
cnf(refute_4_38,plain,
( op(e4,e0) != e3
| e3 = op(e4,e0) ),
inference(subst,[],[refute_4_4:[bind(X,$fot(op(e4,e0))),bind(Y,$fot(e3))]]) ).
cnf(refute_4_39,plain,
op(e4,e0) != e3,
inference(resolve,[$cnf( $equal(e3,op(e4,e0)) )],[refute_4_38,refute_4_37]) ).
cnf(refute_4_40,plain,
( op(e4,e1) = e3
| op(e4,e2) = e3
| op(e4,e3) = e3 ),
inference(resolve,[$cnf( $equal(op(e4,e0),e3) )],[refute_4_11,refute_4_39]) ).
cnf(refute_4_41,plain,
op(e4,op(e4,e4)) = op(e4,op(e4,e4)),
introduced(tautology,[refl,[$fot(op(e4,op(e4,e4)))]]) ).
cnf(refute_4_42,plain,
( op(e4,e4) != e1
| op(e4,op(e4,e4)) != op(e4,op(e4,e4))
| op(e4,op(e4,e4)) = op(e4,e1) ),
introduced(tautology,[equality,[$cnf( $equal(op(e4,op(e4,e4)),op(e4,op(e4,e4))) ),[1,1],$fot(e1)]]) ).
cnf(refute_4_43,plain,
( op(e4,e4) != e1
| op(e4,op(e4,e4)) = op(e4,e1) ),
inference(resolve,[$cnf( $equal(op(e4,op(e4,e4)),op(e4,op(e4,e4))) )],[refute_4_41,refute_4_42]) ).
cnf(refute_4_44,plain,
op(e4,op(e4,e4)) = op(e4,e1),
inference(resolve,[$cnf( $equal(op(e4,e4),e1) )],[refute_4_6,refute_4_43]) ).
cnf(refute_4_45,plain,
( e0 != op(e4,op(e4,e4))
| op(e4,op(e4,e4)) != op(e4,e1)
| e0 = op(e4,e1) ),
introduced(tautology,[equality,[$cnf( ~ $equal(e0,op(e4,e1)) ),[0],$fot(op(e4,op(e4,e4)))]]) ).
cnf(refute_4_46,plain,
( e0 != op(e4,op(e4,e4))
| e0 = op(e4,e1) ),
inference(resolve,[$cnf( $equal(op(e4,op(e4,e4)),op(e4,e1)) )],[refute_4_44,refute_4_45]) ).
cnf(refute_4_47,plain,
e0 = op(e4,e1),
inference(resolve,[$cnf( $equal(e0,op(e4,op(e4,e4))) )],[refute_4_14,refute_4_46]) ).
cnf(refute_4_48,plain,
( e0 != op(e4,e1)
| op(e4,e1) = e0 ),
inference(subst,[],[refute_4_4:[bind(X,$fot(e0)),bind(Y,$fot(op(e4,e1)))]]) ).
cnf(refute_4_49,plain,
op(e4,e1) = e0,
inference(resolve,[$cnf( $equal(e0,op(e4,e1)) )],[refute_4_47,refute_4_48]) ).
cnf(refute_4_50,plain,
( op(e4,e1) != e0
| op(e4,e1) != e3
| e0 = e3 ),
introduced(tautology,[equality,[$cnf( $equal(op(e4,e1),e3) ),[0],$fot(e0)]]) ).
cnf(refute_4_51,plain,
( op(e4,e1) != e3
| e0 = e3 ),
inference(resolve,[$cnf( $equal(op(e4,e1),e0) )],[refute_4_49,refute_4_50]) ).
cnf(refute_4_52,plain,
( e0 = e3
| op(e4,e2) = e3
| op(e4,e3) = e3 ),
inference(resolve,[$cnf( $equal(op(e4,e1),e3) )],[refute_4_40,refute_4_51]) ).
cnf(refute_4_53,plain,
op(op(e0,e4),op(e4,e0)) = e4,
inference(canonicalize,[],[normalize_4_11]) ).
cnf(refute_4_54,plain,
( op(e0,e0) = e0
| op(e0,e1) = e1
| op(e0,e2) = e2
| op(e0,e3) = e3
| op(e0,e4) = e4 ),
inference(canonicalize,[],[normalize_4_13]) ).
cnf(refute_4_55,plain,
( op(e0,e0) != e0
| op(e0,e0) != e3
| e3 = e0 ),
introduced(tautology,[equality,[$cnf( $equal(op(e0,e0),e0) ),[0],$fot(e3)]]) ).
cnf(refute_4_56,plain,
( op(e0,e0) != e0
| e3 = e0 ),
inference(resolve,[$cnf( $equal(op(e0,e0),e3) )],[refute_4_34,refute_4_55]) ).
cnf(refute_4_57,plain,
( e3 = e0
| op(e0,e1) = e1
| op(e0,e2) = e2
| op(e0,e3) = e3
| op(e0,e4) = e4 ),
inference(resolve,[$cnf( $equal(op(e0,e0),e0) )],[refute_4_54,refute_4_56]) ).
cnf(refute_4_58,plain,
e2 = op(op(e4,op(e4,e4)),op(e4,e4)),
inference(canonicalize,[],[normalize_4_14]) ).
cnf(refute_4_59,plain,
op(e0,op(e4,e4)) = op(e0,op(e4,e4)),
introduced(tautology,[refl,[$fot(op(e0,op(e4,e4)))]]) ).
cnf(refute_4_60,plain,
( op(e0,op(e4,e4)) != op(e0,op(e4,e4))
| op(e4,e4) != e1
| op(e0,op(e4,e4)) = op(e0,e1) ),
introduced(tautology,[equality,[$cnf( $equal(op(e0,op(e4,e4)),op(e0,op(e4,e4))) ),[1,1],$fot(e1)]]) ).
cnf(refute_4_61,plain,
( op(e4,e4) != e1
| op(e0,op(e4,e4)) = op(e0,e1) ),
inference(resolve,[$cnf( $equal(op(e0,op(e4,e4)),op(e0,op(e4,e4))) )],[refute_4_59,refute_4_60]) ).
cnf(refute_4_62,plain,
op(e0,op(e4,e4)) = op(e0,e1),
inference(resolve,[$cnf( $equal(op(e4,e4),e1) )],[refute_4_6,refute_4_61]) ).
cnf(refute_4_63,plain,
op(op(e4,op(e4,e4)),op(e4,e4)) = op(op(e4,op(e4,e4)),op(e4,e4)),
introduced(tautology,[refl,[$fot(op(op(e4,op(e4,e4)),op(e4,e4)))]]) ).
cnf(refute_4_64,plain,
( op(e4,op(e4,e4)) != e0
| op(op(e4,op(e4,e4)),op(e4,e4)) != op(op(e4,op(e4,e4)),op(e4,e4))
| op(op(e4,op(e4,e4)),op(e4,e4)) = op(e0,op(e4,e4)) ),
introduced(tautology,[equality,[$cnf( $equal(op(op(e4,op(e4,e4)),op(e4,e4)),op(op(e4,op(e4,e4)),op(e4,e4))) ),[1,0],$fot(e0)]]) ).
cnf(refute_4_65,plain,
( op(e4,op(e4,e4)) != e0
| op(op(e4,op(e4,e4)),op(e4,e4)) = op(e0,op(e4,e4)) ),
inference(resolve,[$cnf( $equal(op(op(e4,op(e4,e4)),op(e4,e4)),op(op(e4,op(e4,e4)),op(e4,e4))) )],[refute_4_63,refute_4_64]) ).
cnf(refute_4_66,plain,
op(op(e4,op(e4,e4)),op(e4,e4)) = op(e0,op(e4,e4)),
inference(resolve,[$cnf( $equal(op(e4,op(e4,e4)),e0) )],[refute_4_16,refute_4_65]) ).
cnf(refute_4_67,plain,
( op(e0,op(e4,e4)) != op(e0,e1)
| op(op(e4,op(e4,e4)),op(e4,e4)) != op(e0,op(e4,e4))
| op(op(e4,op(e4,e4)),op(e4,e4)) = op(e0,e1) ),
inference(subst,[],[refute_4_26:[bind(X,$fot(op(op(e4,op(e4,e4)),op(e4,e4)))),bind(Y,$fot(op(e0,op(e4,e4)))),bind(Z,$fot(op(e0,e1)))]]) ).
cnf(refute_4_68,plain,
( op(e0,op(e4,e4)) != op(e0,e1)
| op(op(e4,op(e4,e4)),op(e4,e4)) = op(e0,e1) ),
inference(resolve,[$cnf( $equal(op(op(e4,op(e4,e4)),op(e4,e4)),op(e0,op(e4,e4))) )],[refute_4_66,refute_4_67]) ).
cnf(refute_4_69,plain,
op(op(e4,op(e4,e4)),op(e4,e4)) = op(e0,e1),
inference(resolve,[$cnf( $equal(op(e0,op(e4,e4)),op(e0,e1)) )],[refute_4_62,refute_4_68]) ).
cnf(refute_4_70,plain,
( e2 != op(op(e4,op(e4,e4)),op(e4,e4))
| op(op(e4,op(e4,e4)),op(e4,e4)) != op(e0,e1)
| e2 = op(e0,e1) ),
introduced(tautology,[equality,[$cnf( ~ $equal(e2,op(e0,e1)) ),[0],$fot(op(op(e4,op(e4,e4)),op(e4,e4)))]]) ).
cnf(refute_4_71,plain,
( e2 != op(op(e4,op(e4,e4)),op(e4,e4))
| e2 = op(e0,e1) ),
inference(resolve,[$cnf( $equal(op(op(e4,op(e4,e4)),op(e4,e4)),op(e0,e1)) )],[refute_4_69,refute_4_70]) ).
cnf(refute_4_72,plain,
e2 = op(e0,e1),
inference(resolve,[$cnf( $equal(e2,op(op(e4,op(e4,e4)),op(e4,e4))) )],[refute_4_58,refute_4_71]) ).
cnf(refute_4_73,plain,
( e2 != op(e0,e1)
| op(e0,e1) = e2 ),
inference(subst,[],[refute_4_4:[bind(X,$fot(e2)),bind(Y,$fot(op(e0,e1)))]]) ).
cnf(refute_4_74,plain,
op(e0,e1) = e2,
inference(resolve,[$cnf( $equal(e2,op(e0,e1)) )],[refute_4_72,refute_4_73]) ).
cnf(refute_4_75,plain,
( op(e0,e1) != e1
| op(e0,e1) != e2
| e2 = e1 ),
introduced(tautology,[equality,[$cnf( $equal(op(e0,e1),e1) ),[0],$fot(e2)]]) ).
cnf(refute_4_76,plain,
( op(e0,e1) != e1
| e2 = e1 ),
inference(resolve,[$cnf( $equal(op(e0,e1),e2) )],[refute_4_74,refute_4_75]) ).
cnf(refute_4_77,plain,
( e2 = e1
| e3 = e0
| op(e0,e2) = e2
| op(e0,e3) = e3
| op(e0,e4) = e4 ),
inference(resolve,[$cnf( $equal(op(e0,e1),e1) )],[refute_4_57,refute_4_76]) ).
cnf(refute_4_78,plain,
e1 != e2,
inference(canonicalize,[],[normalize_4_15]) ).
cnf(refute_4_79,plain,
( e2 != e1
| e1 = e2 ),
inference(subst,[],[refute_4_4:[bind(X,$fot(e2)),bind(Y,$fot(e1))]]) ).
cnf(refute_4_80,plain,
e2 != e1,
inference(resolve,[$cnf( $equal(e1,e2) )],[refute_4_79,refute_4_78]) ).
cnf(refute_4_81,plain,
( e3 = e0
| op(e0,e2) = e2
| op(e0,e3) = e3
| op(e0,e4) = e4 ),
inference(resolve,[$cnf( $equal(e2,e1) )],[refute_4_77,refute_4_80]) ).
cnf(refute_4_82,plain,
e0 != e3,
inference(canonicalize,[],[normalize_4_16]) ).
cnf(refute_4_83,plain,
( e3 != e0
| e0 = e3 ),
inference(subst,[],[refute_4_4:[bind(X,$fot(e3)),bind(Y,$fot(e0))]]) ).
cnf(refute_4_84,plain,
e3 != e0,
inference(resolve,[$cnf( $equal(e0,e3) )],[refute_4_83,refute_4_82]) ).
cnf(refute_4_85,plain,
( op(e0,e2) = e2
| op(e0,e3) = e3
| op(e0,e4) = e4 ),
inference(resolve,[$cnf( $equal(e3,e0) )],[refute_4_81,refute_4_84]) ).
cnf(refute_4_86,plain,
op(e0,e1) != op(e0,e2),
inference(canonicalize,[],[normalize_4_17]) ).
cnf(refute_4_87,plain,
( e2 != op(e0,e2)
| op(e0,e1) != e2
| op(e0,e1) = op(e0,e2) ),
introduced(tautology,[equality,[$cnf( $equal(op(e0,e1),e2) ),[1],$fot(op(e0,e2))]]) ).
cnf(refute_4_88,plain,
( e2 != op(e0,e2)
| op(e0,e1) = op(e0,e2) ),
inference(resolve,[$cnf( $equal(op(e0,e1),e2) )],[refute_4_74,refute_4_87]) ).
cnf(refute_4_89,plain,
e2 != op(e0,e2),
inference(resolve,[$cnf( $equal(op(e0,e1),op(e0,e2)) )],[refute_4_88,refute_4_86]) ).
cnf(refute_4_90,plain,
( op(e0,e2) != e2
| e2 = op(e0,e2) ),
inference(subst,[],[refute_4_4:[bind(X,$fot(op(e0,e2))),bind(Y,$fot(e2))]]) ).
cnf(refute_4_91,plain,
op(e0,e2) != e2,
inference(resolve,[$cnf( $equal(e2,op(e0,e2)) )],[refute_4_90,refute_4_89]) ).
cnf(refute_4_92,plain,
( op(e0,e3) = e3
| op(e0,e4) = e4 ),
inference(resolve,[$cnf( $equal(op(e0,e2),e2) )],[refute_4_85,refute_4_91]) ).
cnf(refute_4_93,plain,
op(e0,e0) != op(e0,e3),
inference(canonicalize,[],[normalize_4_18]) ).
cnf(refute_4_94,plain,
( e3 != op(e0,e3)
| op(e0,e0) != e3
| op(e0,e0) = op(e0,e3) ),
introduced(tautology,[equality,[$cnf( $equal(op(e0,e0),e3) ),[1],$fot(op(e0,e3))]]) ).
cnf(refute_4_95,plain,
( e3 != op(e0,e3)
| op(e0,e0) = op(e0,e3) ),
inference(resolve,[$cnf( $equal(op(e0,e0),e3) )],[refute_4_34,refute_4_94]) ).
cnf(refute_4_96,plain,
e3 != op(e0,e3),
inference(resolve,[$cnf( $equal(op(e0,e0),op(e0,e3)) )],[refute_4_95,refute_4_93]) ).
cnf(refute_4_97,plain,
( op(e0,e3) != e3
| e3 = op(e0,e3) ),
inference(subst,[],[refute_4_4:[bind(X,$fot(op(e0,e3))),bind(Y,$fot(e3))]]) ).
cnf(refute_4_98,plain,
op(e0,e3) != e3,
inference(resolve,[$cnf( $equal(e3,op(e0,e3)) )],[refute_4_97,refute_4_96]) ).
cnf(refute_4_99,plain,
op(e0,e4) = e4,
inference(resolve,[$cnf( $equal(op(e0,e3),e3) )],[refute_4_92,refute_4_98]) ).
cnf(refute_4_100,plain,
op(op(e0,e4),op(e4,e0)) = op(op(e0,e4),op(e4,e0)),
introduced(tautology,[refl,[$fot(op(op(e0,e4),op(e4,e0)))]]) ).
cnf(refute_4_101,plain,
( op(e0,e4) != e4
| op(op(e0,e4),op(e4,e0)) != op(op(e0,e4),op(e4,e0))
| op(op(e0,e4),op(e4,e0)) = op(e4,op(e4,e0)) ),
introduced(tautology,[equality,[$cnf( $equal(op(op(e0,e4),op(e4,e0)),op(op(e0,e4),op(e4,e0))) ),[1,0],$fot(e4)]]) ).
cnf(refute_4_102,plain,
( op(e0,e4) != e4
| op(op(e0,e4),op(e4,e0)) = op(e4,op(e4,e0)) ),
inference(resolve,[$cnf( $equal(op(op(e0,e4),op(e4,e0)),op(op(e0,e4),op(e4,e0))) )],[refute_4_100,refute_4_101]) ).
cnf(refute_4_103,plain,
op(op(e0,e4),op(e4,e0)) = op(e4,op(e4,e0)),
inference(resolve,[$cnf( $equal(op(e0,e4),e4) )],[refute_4_99,refute_4_102]) ).
cnf(refute_4_104,plain,
( op(op(e0,e4),op(e4,e0)) != e4
| op(op(e0,e4),op(e4,e0)) != op(e4,op(e4,e0))
| op(e4,op(e4,e0)) = e4 ),
introduced(tautology,[equality,[$cnf( $equal(op(op(e0,e4),op(e4,e0)),e4) ),[0],$fot(op(e4,op(e4,e0)))]]) ).
cnf(refute_4_105,plain,
( op(op(e0,e4),op(e4,e0)) != e4
| op(e4,op(e4,e0)) = e4 ),
inference(resolve,[$cnf( $equal(op(op(e0,e4),op(e4,e0)),op(e4,op(e4,e0))) )],[refute_4_103,refute_4_104]) ).
cnf(refute_4_106,plain,
op(e4,op(e4,e0)) = e4,
inference(resolve,[$cnf( $equal(op(op(e0,e4),op(e4,e0)),e4) )],[refute_4_53,refute_4_105]) ).
cnf(refute_4_107,plain,
op(op(e4,e0),op(e0,e4)) = e0,
inference(canonicalize,[],[normalize_4_19]) ).
cnf(refute_4_108,plain,
op(op(e4,e0),op(e0,e4)) = op(op(e4,e0),op(e0,e4)),
introduced(tautology,[refl,[$fot(op(op(e4,e0),op(e0,e4)))]]) ).
cnf(refute_4_109,plain,
( op(e0,e4) != e4
| op(op(e4,e0),op(e0,e4)) != op(op(e4,e0),op(e0,e4))
| op(op(e4,e0),op(e0,e4)) = op(op(e4,e0),e4) ),
introduced(tautology,[equality,[$cnf( $equal(op(op(e4,e0),op(e0,e4)),op(op(e4,e0),op(e0,e4))) ),[1,1],$fot(e4)]]) ).
cnf(refute_4_110,plain,
( op(e0,e4) != e4
| op(op(e4,e0),op(e0,e4)) = op(op(e4,e0),e4) ),
inference(resolve,[$cnf( $equal(op(op(e4,e0),op(e0,e4)),op(op(e4,e0),op(e0,e4))) )],[refute_4_108,refute_4_109]) ).
cnf(refute_4_111,plain,
op(op(e4,e0),op(e0,e4)) = op(op(e4,e0),e4),
inference(resolve,[$cnf( $equal(op(e0,e4),e4) )],[refute_4_99,refute_4_110]) ).
cnf(refute_4_112,plain,
( op(op(e4,e0),op(e0,e4)) != e0
| op(op(e4,e0),op(e0,e4)) != op(op(e4,e0),e4)
| op(op(e4,e0),e4) = e0 ),
introduced(tautology,[equality,[$cnf( $equal(op(op(e4,e0),op(e0,e4)),e0) ),[0],$fot(op(op(e4,e0),e4))]]) ).
cnf(refute_4_113,plain,
( op(op(e4,e0),op(e0,e4)) != e0
| op(op(e4,e0),e4) = e0 ),
inference(resolve,[$cnf( $equal(op(op(e4,e0),op(e0,e4)),op(op(e4,e0),e4)) )],[refute_4_111,refute_4_112]) ).
cnf(refute_4_114,plain,
op(op(e4,e0),e4) = e0,
inference(resolve,[$cnf( $equal(op(op(e4,e0),op(e0,e4)),e0) )],[refute_4_107,refute_4_113]) ).
cnf(refute_4_115,plain,
( op(e4,e0) = e0
| op(e4,e0) = e1
| op(e4,e0) = e2
| op(e4,e0) = e3
| op(e4,e0) = e4 ),
inference(canonicalize,[],[normalize_4_21]) ).
cnf(refute_4_116,plain,
op(e4,e0) != op(e4,e4),
inference(canonicalize,[],[normalize_4_22]) ).
cnf(refute_4_117,plain,
( op(e4,e0) != e1
| op(e4,e4) != e1
| op(e4,e0) = op(e4,e4) ),
introduced(tautology,[equality,[$cnf( ~ $equal(op(e4,e0),op(e4,e4)) ),[1],$fot(e1)]]) ).
cnf(refute_4_118,plain,
( op(e4,e0) != e1
| op(e4,e0) = op(e4,e4) ),
inference(resolve,[$cnf( $equal(op(e4,e4),e1) )],[refute_4_6,refute_4_117]) ).
cnf(refute_4_119,plain,
op(e4,e0) != e1,
inference(resolve,[$cnf( $equal(op(e4,e0),op(e4,e4)) )],[refute_4_118,refute_4_116]) ).
cnf(refute_4_120,plain,
( op(e4,e0) = e0
| op(e4,e0) = e2
| op(e4,e0) = e3
| op(e4,e0) = e4 ),
inference(resolve,[$cnf( $equal(op(e4,e0),e1) )],[refute_4_115,refute_4_119]) ).
cnf(refute_4_121,plain,
( op(e4,e0) = e0
| op(e4,e0) = e2
| op(e4,e0) = e4 ),
inference(resolve,[$cnf( $equal(op(e4,e0),e3) )],[refute_4_120,refute_4_39]) ).
cnf(refute_4_122,plain,
op(e4,e0) != e0,
inference(canonicalize,[],[normalize_4_23]) ).
cnf(refute_4_123,plain,
( op(e4,e0) = e2
| op(e4,e0) = e4 ),
inference(resolve,[$cnf( $equal(op(e4,e0),e0) )],[refute_4_121,refute_4_122]) ).
cnf(refute_4_124,plain,
( op(e4,e0) != e4
| op(op(e4,e0),e4) != e0
| op(e4,e4) = e0 ),
introduced(tautology,[equality,[$cnf( $equal(op(op(e4,e0),e4),e0) ),[0,0],$fot(e4)]]) ).
cnf(refute_4_125,plain,
( op(op(e4,e0),e4) != e0
| op(e4,e0) = e2
| op(e4,e4) = e0 ),
inference(resolve,[$cnf( $equal(op(e4,e0),e4) )],[refute_4_123,refute_4_124]) ).
cnf(refute_4_126,plain,
( op(e4,e0) = e2
| op(e4,e4) = e0 ),
inference(resolve,[$cnf( $equal(op(op(e4,e0),e4),e0) )],[refute_4_114,refute_4_125]) ).
cnf(refute_4_127,plain,
( op(e4,e4) != e0
| op(e4,e4) != e1
| e1 = e0 ),
introduced(tautology,[equality,[$cnf( $equal(op(e4,e4),e0) ),[0],$fot(e1)]]) ).
cnf(refute_4_128,plain,
( op(e4,e4) != e0
| e1 = e0 ),
inference(resolve,[$cnf( $equal(op(e4,e4),e1) )],[refute_4_6,refute_4_127]) ).
cnf(refute_4_129,plain,
( e1 = e0
| op(e4,e0) = e2 ),
inference(resolve,[$cnf( $equal(op(e4,e4),e0) )],[refute_4_126,refute_4_128]) ).
cnf(refute_4_130,plain,
op(e4,e1) != e1,
inference(canonicalize,[],[normalize_4_24]) ).
cnf(refute_4_131,plain,
( e0 != e1
| op(e4,e1) != e0
| op(e4,e1) = e1 ),
introduced(tautology,[equality,[$cnf( $equal(op(e4,e1),e0) ),[1],$fot(e1)]]) ).
cnf(refute_4_132,plain,
( e0 != e1
| op(e4,e1) = e1 ),
inference(resolve,[$cnf( $equal(op(e4,e1),e0) )],[refute_4_49,refute_4_131]) ).
cnf(refute_4_133,plain,
e0 != e1,
inference(resolve,[$cnf( $equal(op(e4,e1),e1) )],[refute_4_132,refute_4_130]) ).
cnf(refute_4_134,plain,
( e1 != e0
| e0 = e1 ),
inference(subst,[],[refute_4_4:[bind(X,$fot(e1)),bind(Y,$fot(e0))]]) ).
cnf(refute_4_135,plain,
e1 != e0,
inference(resolve,[$cnf( $equal(e0,e1) )],[refute_4_134,refute_4_133]) ).
cnf(refute_4_136,plain,
op(e4,e0) = e2,
inference(resolve,[$cnf( $equal(e1,e0) )],[refute_4_129,refute_4_135]) ).
cnf(refute_4_137,plain,
op(e4,op(e4,e0)) = op(e4,op(e4,e0)),
introduced(tautology,[refl,[$fot(op(e4,op(e4,e0)))]]) ).
cnf(refute_4_138,plain,
( op(e4,e0) != e2
| op(e4,op(e4,e0)) != op(e4,op(e4,e0))
| op(e4,op(e4,e0)) = op(e4,e2) ),
introduced(tautology,[equality,[$cnf( $equal(op(e4,op(e4,e0)),op(e4,op(e4,e0))) ),[1,1],$fot(e2)]]) ).
cnf(refute_4_139,plain,
( op(e4,e0) != e2
| op(e4,op(e4,e0)) = op(e4,e2) ),
inference(resolve,[$cnf( $equal(op(e4,op(e4,e0)),op(e4,op(e4,e0))) )],[refute_4_137,refute_4_138]) ).
cnf(refute_4_140,plain,
op(e4,op(e4,e0)) = op(e4,e2),
inference(resolve,[$cnf( $equal(op(e4,e0),e2) )],[refute_4_136,refute_4_139]) ).
cnf(refute_4_141,plain,
( op(e4,op(e4,e0)) != e4
| op(e4,op(e4,e0)) != op(e4,e2)
| op(e4,e2) = e4 ),
introduced(tautology,[equality,[$cnf( $equal(op(e4,op(e4,e0)),e4) ),[0],$fot(op(e4,e2))]]) ).
cnf(refute_4_142,plain,
( op(e4,op(e4,e0)) != e4
| op(e4,e2) = e4 ),
inference(resolve,[$cnf( $equal(op(e4,op(e4,e0)),op(e4,e2)) )],[refute_4_140,refute_4_141]) ).
cnf(refute_4_143,plain,
op(e4,e2) = e4,
inference(resolve,[$cnf( $equal(op(e4,op(e4,e0)),e4) )],[refute_4_106,refute_4_142]) ).
cnf(refute_4_144,plain,
( op(e4,e2) != e3
| op(e4,e2) != e4
| e4 = e3 ),
introduced(tautology,[equality,[$cnf( $equal(op(e4,e2),e3) ),[0],$fot(e4)]]) ).
cnf(refute_4_145,plain,
( op(e4,e2) != e3
| e4 = e3 ),
inference(resolve,[$cnf( $equal(op(e4,e2),e4) )],[refute_4_143,refute_4_144]) ).
cnf(refute_4_146,plain,
( e0 = e3
| e4 = e3
| op(e4,e3) = e3 ),
inference(resolve,[$cnf( $equal(op(e4,e2),e3) )],[refute_4_52,refute_4_145]) ).
cnf(refute_4_147,plain,
( e4 = e3
| op(e4,e3) = e3 ),
inference(resolve,[$cnf( $equal(e0,e3) )],[refute_4_146,refute_4_82]) ).
cnf(refute_4_148,plain,
e3 != e4,
inference(canonicalize,[],[normalize_4_25]) ).
cnf(refute_4_149,plain,
( e4 != e3
| e3 = e4 ),
inference(subst,[],[refute_4_4:[bind(X,$fot(e4)),bind(Y,$fot(e3))]]) ).
cnf(refute_4_150,plain,
e4 != e3,
inference(resolve,[$cnf( $equal(e3,e4) )],[refute_4_149,refute_4_148]) ).
cnf(refute_4_151,plain,
op(e4,e3) = e3,
inference(resolve,[$cnf( $equal(e4,e3) )],[refute_4_147,refute_4_150]) ).
cnf(refute_4_152,plain,
op(e4,e3) != e3,
inference(canonicalize,[],[normalize_4_26]) ).
cnf(refute_4_153,plain,
$false,
inference(resolve,[$cnf( $equal(op(e4,e3),e3) )],[refute_4_151,refute_4_152]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : ALG170+1 : TPTP v8.1.0. Released v2.7.0.
% 0.07/0.13 % Command : metis --show proof --show saturation %s
% 0.13/0.34 % Computer : n027.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % WCLimit : 600
% 0.13/0.34 % DateTime : Wed Jun 8 20:08:42 EDT 2022
% 0.13/0.34 % CPUTime :
% 0.13/0.34 %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
% 0.93/1.11 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.93/1.11
% 0.93/1.11 % SZS output start CNFRefutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% See solution above
% 1.08/1.24
%------------------------------------------------------------------------------