TSTP Solution File: ALG060+1 by Metis---2.4
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Metis---2.4
% Problem : ALG060+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 17:34:48 EDT 2022
% Result : Theorem 5.91s 6.11s
% Output : CNFRefutation 6.29s
% Verified :
% SZS Type : Refutation
% Derivation depth : 75
% Number of leaves : 1360
% Syntax : Number of formulae : 6180 (2269 unt; 44 def)
% Number of atoms : 31327 (29660 equ)
% Maximal formula atoms : 250 ( 5 avg)
% Number of connectives : 37585 (12438 ~;14813 |;10168 &)
% ( 116 <=>; 50 =>; 0 <=; 0 <~>)
% Maximal formula depth : 101 ( 4 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 47 ( 44 usr; 45 prp; 0-2 aty)
% Number of functors : 7 ( 7 usr; 6 con; 0-2 aty)
% Number of variables : 142 ( 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(unit,e0) = e0
& op(e0,unit) = e0
& op(unit,e1) = e1
& op(e1,unit) = e1
& op(unit,e2) = e2
& op(e2,unit) = e2
& op(unit,e3) = e3
& op(e3,unit) = e3
& op(unit,e4) = e4
& op(e4,unit) = e4
& ( unit = e0
| unit = e1
| unit = e2
| unit = e3
| unit = e4 ) ) ).
fof(ax3,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(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(op(e4,e4),e4)
& e1 = op(e4,e4)
& e2 = op(op(e4,op(e4,e4)),e4)
& e3 = op(e4,op(e4,e4)) ) ).
fof(co1,conjecture,
~ ( ( ( op(e0,e0) = e0
& op(e0,e0) = e0
& op(e0,e0) != e0 )
| ( op(e0,e0) = e1
& op(e1,e1) = e0
& op(e0,e1) != e0 )
| ( op(e0,e0) = e2
& op(e2,e2) = e0
& op(e0,e2) != e0 )
| ( op(e0,e0) = e3
& op(e3,e3) = e0
& op(e0,e3) != e0 )
| ( op(e0,e0) = e4
& op(e4,e4) = e0
& op(e0,e4) != e0 )
| ( op(e1,e1) = e0
& op(e0,e0) = e1
& op(e1,e0) != e1 )
| ( op(e1,e1) = e1
& op(e1,e1) = e1
& op(e1,e1) != e1 )
| ( op(e1,e1) = e2
& op(e2,e2) = e1
& op(e1,e2) != e1 )
| ( op(e1,e1) = e3
& op(e3,e3) = e1
& op(e1,e3) != e1 )
| ( op(e1,e1) = e4
& op(e4,e4) = e1
& op(e1,e4) != e1 )
| ( op(e2,e2) = e0
& op(e0,e0) = e2
& op(e2,e0) != e2 )
| ( op(e2,e2) = e1
& op(e1,e1) = e2
& op(e2,e1) != e2 )
| ( op(e2,e2) = e2
& op(e2,e2) = e2
& op(e2,e2) != e2 )
| ( op(e2,e2) = e3
& op(e3,e3) = e2
& op(e2,e3) != e2 )
| ( op(e2,e2) = e4
& op(e4,e4) = e2
& op(e2,e4) != e2 )
| ( op(e3,e3) = e0
& op(e0,e0) = e3
& op(e3,e0) != e3 )
| ( op(e3,e3) = e1
& op(e1,e1) = e3
& op(e3,e1) != e3 )
| ( op(e3,e3) = e2
& op(e2,e2) = e3
& op(e3,e2) != e3 )
| ( op(e3,e3) = e3
& op(e3,e3) = e3
& op(e3,e3) != e3 )
| ( op(e3,e3) = e4
& op(e4,e4) = e3
& op(e3,e4) != e3 )
| ( op(e4,e4) = e0
& op(e0,e0) = e4
& op(e4,e0) != e4 )
| ( op(e4,e4) = e1
& op(e1,e1) = e4
& op(e4,e1) != e4 )
| ( op(e4,e4) = e2
& op(e2,e2) = e4
& op(e4,e2) != e4 )
| ( op(e4,e4) = e3
& op(e3,e3) = e4
& op(e4,e3) != e4 )
| ( op(e4,e4) = e4
& op(e4,e4) = e4
& op(e4,e4) != e4 ) )
& ( ( op(e0,e0) != op(e0,e0)
& op(op(e0,e0),e0) = e0
& op(op(e0,e0),e0) != e0 )
| ( op(e1,e0) != op(e0,e1)
& op(op(e0,e1),e1) = e0
& op(op(e0,e1),e0) != e1 )
| ( op(e2,e0) != op(e0,e2)
& op(op(e0,e2),e2) = e0
& op(op(e0,e2),e0) != e2 )
| ( op(e3,e0) != op(e0,e3)
& op(op(e0,e3),e3) = e0
& op(op(e0,e3),e0) != e3 )
| ( op(e4,e0) != op(e0,e4)
& op(op(e0,e4),e4) = e0
& op(op(e0,e4),e0) != e4 )
| ( op(e0,e1) != op(e1,e0)
& op(op(e1,e0),e0) = e1
& op(op(e1,e0),e1) != e0 )
| ( op(e1,e1) != op(e1,e1)
& op(op(e1,e1),e1) = e1
& op(op(e1,e1),e1) != e1 )
| ( op(e2,e1) != op(e1,e2)
& op(op(e1,e2),e2) = e1
& op(op(e1,e2),e1) != e2 )
| ( op(e3,e1) != op(e1,e3)
& op(op(e1,e3),e3) = e1
& op(op(e1,e3),e1) != e3 )
| ( op(e4,e1) != op(e1,e4)
& op(op(e1,e4),e4) = e1
& op(op(e1,e4),e1) != e4 )
| ( op(e0,e2) != op(e2,e0)
& op(op(e2,e0),e0) = e2
& op(op(e2,e0),e2) != e0 )
| ( op(e1,e2) != op(e2,e1)
& op(op(e2,e1),e1) = e2
& op(op(e2,e1),e2) != e1 )
| ( op(e2,e2) != op(e2,e2)
& op(op(e2,e2),e2) = e2
& op(op(e2,e2),e2) != e2 )
| ( op(e3,e2) != op(e2,e3)
& op(op(e2,e3),e3) = e2
& op(op(e2,e3),e2) != e3 )
| ( op(e4,e2) != op(e2,e4)
& op(op(e2,e4),e4) = e2
& op(op(e2,e4),e2) != e4 )
| ( op(e0,e3) != op(e3,e0)
& op(op(e3,e0),e0) = e3
& op(op(e3,e0),e3) != e0 )
| ( op(e1,e3) != op(e3,e1)
& op(op(e3,e1),e1) = e3
& op(op(e3,e1),e3) != e1 )
| ( op(e2,e3) != op(e3,e2)
& op(op(e3,e2),e2) = e3
& op(op(e3,e2),e3) != e2 )
| ( op(e3,e3) != op(e3,e3)
& op(op(e3,e3),e3) = e3
& op(op(e3,e3),e3) != e3 )
| ( op(e4,e3) != op(e3,e4)
& op(op(e3,e4),e4) = e3
& op(op(e3,e4),e3) != e4 )
| ( op(e0,e4) != op(e4,e0)
& op(op(e4,e0),e0) = e4
& op(op(e4,e0),e4) != e0 )
| ( op(e1,e4) != op(e4,e1)
& op(op(e4,e1),e1) = e4
& op(op(e4,e1),e4) != e1 )
| ( op(e2,e4) != op(e4,e2)
& op(op(e4,e2),e2) = e4
& op(op(e4,e2),e4) != e2 )
| ( op(e3,e4) != op(e4,e3)
& op(op(e4,e3),e3) = e4
& op(op(e4,e3),e4) != e3 )
| ( op(e4,e4) != op(e4,e4)
& op(op(e4,e4),e4) = e4
& op(op(e4,e4),e4) != e4 ) ) ) ).
fof(definition_0,definition,
( definitionFOFtoCNF_0
<=> ( ( op(e0,e1) != e0
& op(e0,e0) = e1
& op(e1,e1) = e0 )
| ( op(e0,e2) != e0
& op(e0,e0) = e2
& op(e2,e2) = e0 )
| ( op(e0,e3) != e0
& op(e0,e0) = e3
& op(e3,e3) = e0 )
| ( op(e0,e4) != e0
& op(e0,e0) = e4
& op(e4,e4) = e0 )
| ( op(e1,e0) != e1
& op(e0,e0) = e1
& op(e1,e1) = e0 )
| ( op(e1,e2) != e1
& op(e1,e1) = e2
& op(e2,e2) = e1 )
| ( op(e1,e3) != e1
& op(e1,e1) = e3
& op(e3,e3) = e1 )
| ( op(e1,e4) != e1
& op(e1,e1) = e4
& op(e4,e4) = e1 )
| ( op(e2,e0) != e2
& op(e0,e0) = e2
& op(e2,e2) = e0 )
| ( op(e2,e1) != e2
& op(e1,e1) = e2
& op(e2,e2) = e1 ) ) ) ).
fof(definition_1,definition,
( definitionFOFtoCNF_1
<=> ( ( op(e0,e0) != e1
| op(e1,e1) != e0
| op(e0,e1) = e0 )
& ( op(e0,e0) != e1
| op(e1,e1) != e0
| op(e1,e0) = e1 )
& ( op(e0,e0) != e2
| op(e2,e2) != e0
| op(e0,e2) = e0 )
& ( op(e0,e0) != e2
| op(e2,e2) != e0
| op(e2,e0) = e2 )
& ( op(e0,e0) != e3
| op(e3,e3) != e0
| op(e0,e3) = e0 ) ) ) ).
fof(definition_2,definition,
( definitionFOFtoCNF_10
<=> ( op(e3,e4) != e3
& op(e3,e3) = e4
& op(e4,e4) = e3 ) ) ).
fof(definition_3,definition,
( definitionFOFtoCNF_121
<=> ( ( op(e0,e1) != e0
& op(e0,e0) = e1
& op(e1,e1) = e0 )
| ( op(e0,e2) != e0
& op(e0,e0) = e2
& op(e2,e2) = e0 )
| ( op(e0,e3) != e0
& op(e0,e0) = e3
& op(e3,e3) = e0 )
| ( op(e0,e4) != e0
& op(e0,e0) = e4
& op(e4,e4) = e0 )
| ( op(e1,e0) != e1
& op(e0,e0) = e1
& op(e1,e1) = e0 )
| ( op(e1,e2) != e1
& op(e1,e1) = e2
& op(e2,e2) = e1 )
| ( op(e1,e3) != e1
& op(e1,e1) = e3
& op(e3,e3) = e1 )
| ( op(e1,e4) != e1
& op(e1,e1) = e4
& op(e4,e4) = e1 )
| ( op(e2,e0) != e2
& op(e0,e0) = e2
& op(e2,e2) = e0 )
| ( op(e2,e1) != e2
& op(e1,e1) = e2
& op(e2,e2) = e1 ) ) ) ).
fof(definition_4,definition,
( definitionFOFtoCNF_122
<=> ( ( op(e0,e0) != e1
| op(e1,e1) != e0
| op(e0,e1) = e0 )
& ( op(e0,e0) != e1
| op(e1,e1) != e0
| op(e1,e0) = e1 )
& ( op(e0,e0) != e2
| op(e2,e2) != e0
| op(e0,e2) = e0 )
& ( op(e0,e0) != e2
| op(e2,e2) != e0
| op(e2,e0) = e2 )
& ( op(e0,e0) != e3
| op(e3,e3) != e0
| op(e0,e3) = e0 ) ) ) ).
fof(definition_5,definition,
( definitionFOFtoCNF_123
<=> ( ( op(e0,e0) != e1
| op(e1,e1) != e0
| op(e0,e1) = e0 )
& ( op(e0,e0) != e1
| op(e1,e1) != e0
| op(e1,e0) = e1 ) ) ) ).
fof(definition_6,definition,
( definitionFOFtoCNF_124
<=> ( op(e0,e0) != e2
| op(e2,e2) != e0
| op(e0,e2) = e0 ) ) ).
fof(definition_7,definition,
( definitionFOFtoCNF_125
<=> ( ( op(e1,e1) != e3
| op(e3,e3) != e1
| op(e1,e3) = e1 )
& ( op(e1,e1) != e4
| op(e4,e4) != e1
| op(e1,e4) = e1 ) ) ) ).
fof(definition_8,definition,
( definitionFOFtoCNF_126
<=> ( op(e0,e0) != e4
| op(e4,e4) != e0
| op(e0,e4) = e0 ) ) ).
fof(definition_9,definition,
( definitionFOFtoCNF_127
<=> ( definitionFOFtoCNF_121
| ( op(e2,e3) != e2
& op(e2,e2) = e3
& op(e3,e3) = e2 )
| ( op(e2,e4) != e2
& op(e2,e2) = e4
& op(e4,e4) = e2 )
| ( op(e3,e0) != e3
& op(e0,e0) = e3
& op(e3,e3) = e0 )
| ( op(e3,e1) != e3
& op(e1,e1) = e3
& op(e3,e3) = e1 )
| ( op(e3,e2) != e3
& op(e2,e2) = e3
& op(e3,e3) = e2 ) ) ) ).
fof(definition_10,definition,
( definitionFOFtoCNF_128
<=> ( ( op(e2,e2) != e3
| op(e3,e3) != e2
| op(e3,e2) = e3 )
& ( op(e2,e2) != e4
| op(e4,e4) != e2
| op(e2,e4) = e2 ) ) ) ).
fof(definition_11,definition,
( definitionFOFtoCNF_129
<=> ( op(e0,e0) != e3
| op(e3,e3) != e0
| op(e3,e0) = e3 ) ) ).
fof(definition_12,definition,
( definitionFOFtoCNF_130
<=> ( ( op(e4,e2) != e4
& op(e2,e2) = e4
& op(e4,e4) = e2 )
| ( op(e4,e3) != e4
& op(e3,e3) = e4
& op(e4,e4) = e3 ) ) ) ).
fof(definition_13,definition,
( definitionFOFtoCNF_131
<=> ( op(e3,e4) != e3
& op(e3,e3) = e4
& op(e4,e4) = e3 ) ) ).
fof(definition_14,definition,
( definitionFOFtoCNF_132
<=> ( ( op(e0,e1) != e0
& op(e0,e0) = e1
& op(e1,e1) = e0 )
| ( op(e0,e2) != e0
& op(e0,e0) = e2
& op(e2,e2) = e0 )
| ( op(e0,e3) != e0
& op(e0,e0) = e3
& op(e3,e3) = e0 )
| ( op(e0,e4) != e0
& op(e0,e0) = e4
& op(e4,e4) = e0 )
| ( op(e1,e0) != e1
& op(e0,e0) = e1
& op(e1,e1) = e0 )
| ( op(e1,e2) != e1
& op(e1,e1) = e2
& op(e2,e2) = e1 )
| ( op(e1,e3) != e1
& op(e1,e1) = e3
& op(e3,e3) = e1 )
| ( op(e1,e4) != e1
& op(e1,e1) = e4
& op(e4,e4) = e1 )
| ( op(e2,e0) != e2
& op(e0,e0) = e2
& op(e2,e2) = e0 )
| ( op(e2,e1) != e2
& op(e1,e1) = e2
& op(e2,e2) = e1 ) ) ) ).
fof(definition_15,definition,
( definitionFOFtoCNF_133
<=> ( ( op(e0,e0) != e1
| op(e1,e1) != e0
| op(e0,e1) = e0 )
& ( op(e0,e0) != e1
| op(e1,e1) != e0
| op(e1,e0) = e1 )
& ( op(e0,e0) != e2
| op(e2,e2) != e0
| op(e0,e2) = e0 )
& ( op(e0,e0) != e2
| op(e2,e2) != e0
| op(e2,e0) = e2 )
& ( op(e0,e0) != e3
| op(e3,e3) != e0
| op(e0,e3) = e0 ) ) ) ).
fof(definition_16,definition,
( definitionFOFtoCNF_134
<=> ( ( op(e0,e0) != e1
| op(e1,e1) != e0
| op(e0,e1) = e0 )
& ( op(e0,e0) != e1
| op(e1,e1) != e0
| op(e1,e0) = e1 ) ) ) ).
fof(definition_17,definition,
( definitionFOFtoCNF_135
<=> ( op(e0,e0) != e2
| op(e2,e2) != e0
| op(e0,e2) = e0 ) ) ).
fof(definition_18,definition,
( definitionFOFtoCNF_136
<=> ( ( op(e1,e1) != e3
| op(e3,e3) != e1
| op(e1,e3) = e1 )
& ( op(e1,e1) != e4
| op(e4,e4) != e1
| op(e1,e4) = e1 ) ) ) ).
fof(definition_19,definition,
( definitionFOFtoCNF_137
<=> ( op(e0,e0) != e4
| op(e4,e4) != e0
| op(e0,e4) = e0 ) ) ).
fof(definition_20,definition,
( definitionFOFtoCNF_138
<=> ( definitionFOFtoCNF_132
| ( op(e2,e3) != e2
& op(e2,e2) = e3
& op(e3,e3) = e2 )
| ( op(e2,e4) != e2
& op(e2,e2) = e4
& op(e4,e4) = e2 )
| ( op(e3,e0) != e3
& op(e0,e0) = e3
& op(e3,e3) = e0 )
| ( op(e3,e1) != e3
& op(e1,e1) = e3
& op(e3,e3) = e1 )
| ( op(e3,e2) != e3
& op(e2,e2) = e3
& op(e3,e3) = e2 ) ) ) ).
fof(definition_21,definition,
( definitionFOFtoCNF_139
<=> ( ( op(e2,e2) != e3
| op(e3,e3) != e2
| op(e3,e2) = e3 )
& ( op(e2,e2) != e4
| op(e4,e4) != e2
| op(e2,e4) = e2 ) ) ) ).
fof(definition_22,definition,
( definitionFOFtoCNF_140
<=> ( op(e0,e0) != e3
| op(e3,e3) != e0
| op(e3,e0) = e3 ) ) ).
fof(definition_23,definition,
( definitionFOFtoCNF_141
<=> ( ( op(e4,e2) != e4
& op(e2,e2) = e4
& op(e4,e4) = e2 )
| ( op(e4,e3) != e4
& op(e3,e3) = e4
& op(e4,e4) = e3 ) ) ) ).
fof(definition_24,definition,
( definitionFOFtoCNF_142
<=> ( op(e3,e4) != e3
& op(e3,e3) = e4
& op(e4,e4) = e3 ) ) ).
fof(definition_25,definition,
( definitionFOFtoCNF_2
<=> ( ( op(e0,e0) != e1
| op(e1,e1) != e0
| op(e0,e1) = e0 )
& ( op(e0,e0) != e1
| op(e1,e1) != e0
| op(e1,e0) = e1 ) ) ) ).
fof(definition_26,definition,
( definitionFOFtoCNF_3
<=> ( op(e0,e0) != e2
| op(e2,e2) != e0
| op(e0,e2) = e0 ) ) ).
fof(definition_27,definition,
( definitionFOFtoCNF_4
<=> ( ( op(e1,e1) != e3
| op(e3,e3) != e1
| op(e1,e3) = e1 )
& ( op(e1,e1) != e4
| op(e4,e4) != e1
| op(e1,e4) = e1 ) ) ) ).
fof(definition_28,definition,
( definitionFOFtoCNF_5
<=> ( op(e0,e0) != e4
| op(e4,e4) != e0
| op(e0,e4) = e0 ) ) ).
fof(definition_29,definition,
( definitionFOFtoCNF_55
<=> ( ( op(e0,e1) != e0
& op(e0,e0) = e1
& op(e1,e1) = e0 )
| ( op(e0,e2) != e0
& op(e0,e0) = e2
& op(e2,e2) = e0 )
| ( op(e0,e3) != e0
& op(e0,e0) = e3
& op(e3,e3) = e0 )
| ( op(e0,e4) != e0
& op(e0,e0) = e4
& op(e4,e4) = e0 )
| ( op(e1,e0) != e1
& op(e0,e0) = e1
& op(e1,e1) = e0 )
| ( op(e1,e2) != e1
& op(e1,e1) = e2
& op(e2,e2) = e1 )
| ( op(e1,e3) != e1
& op(e1,e1) = e3
& op(e3,e3) = e1 )
| ( op(e1,e4) != e1
& op(e1,e1) = e4
& op(e4,e4) = e1 )
| ( op(e2,e0) != e2
& op(e0,e0) = e2
& op(e2,e2) = e0 )
| ( op(e2,e1) != e2
& op(e1,e1) = e2
& op(e2,e2) = e1 ) ) ) ).
fof(definition_30,definition,
( definitionFOFtoCNF_56
<=> ( ( op(e0,e0) != e1
| op(e1,e1) != e0
| op(e0,e1) = e0 )
& ( op(e0,e0) != e1
| op(e1,e1) != e0
| op(e1,e0) = e1 )
& ( op(e0,e0) != e2
| op(e2,e2) != e0
| op(e0,e2) = e0 )
& ( op(e0,e0) != e2
| op(e2,e2) != e0
| op(e2,e0) = e2 )
& ( op(e0,e0) != e3
| op(e3,e3) != e0
| op(e0,e3) = e0 ) ) ) ).
fof(definition_31,definition,
( definitionFOFtoCNF_57
<=> ( ( op(e0,e0) != e1
| op(e1,e1) != e0
| op(e0,e1) = e0 )
& ( op(e0,e0) != e1
| op(e1,e1) != e0
| op(e1,e0) = e1 ) ) ) ).
fof(definition_32,definition,
( definitionFOFtoCNF_58
<=> ( op(e0,e0) != e2
| op(e2,e2) != e0
| op(e0,e2) = e0 ) ) ).
fof(definition_33,definition,
( definitionFOFtoCNF_59
<=> ( ( op(e1,e1) != e3
| op(e3,e3) != e1
| op(e1,e3) = e1 )
& ( op(e1,e1) != e4
| op(e4,e4) != e1
| op(e1,e4) = e1 ) ) ) ).
fof(definition_34,definition,
( definitionFOFtoCNF_6
<=> ( definitionFOFtoCNF_0
| ( op(e2,e3) != e2
& op(e2,e2) = e3
& op(e3,e3) = e2 )
| ( op(e2,e4) != e2
& op(e2,e2) = e4
& op(e4,e4) = e2 )
| ( op(e3,e0) != e3
& op(e0,e0) = e3
& op(e3,e3) = e0 )
| ( op(e3,e1) != e3
& op(e1,e1) = e3
& op(e3,e3) = e1 )
| ( op(e3,e2) != e3
& op(e2,e2) = e3
& op(e3,e3) = e2 ) ) ) ).
fof(definition_35,definition,
( definitionFOFtoCNF_60
<=> ( op(e0,e0) != e4
| op(e4,e4) != e0
| op(e0,e4) = e0 ) ) ).
fof(definition_36,definition,
( definitionFOFtoCNF_61
<=> ( definitionFOFtoCNF_55
| ( op(e2,e3) != e2
& op(e2,e2) = e3
& op(e3,e3) = e2 )
| ( op(e2,e4) != e2
& op(e2,e2) = e4
& op(e4,e4) = e2 )
| ( op(e3,e0) != e3
& op(e0,e0) = e3
& op(e3,e3) = e0 )
| ( op(e3,e1) != e3
& op(e1,e1) = e3
& op(e3,e3) = e1 )
| ( op(e3,e2) != e3
& op(e2,e2) = e3
& op(e3,e3) = e2 ) ) ) ).
fof(definition_37,definition,
( definitionFOFtoCNF_62
<=> ( ( op(e2,e2) != e3
| op(e3,e3) != e2
| op(e3,e2) = e3 )
& ( op(e2,e2) != e4
| op(e4,e4) != e2
| op(e2,e4) = e2 ) ) ) ).
fof(definition_38,definition,
( definitionFOFtoCNF_63
<=> ( op(e0,e0) != e3
| op(e3,e3) != e0
| op(e3,e0) = e3 ) ) ).
fof(definition_39,definition,
( definitionFOFtoCNF_64
<=> ( ( op(e4,e2) != e4
& op(e2,e2) = e4
& op(e4,e4) = e2 )
| ( op(e4,e3) != e4
& op(e3,e3) = e4
& op(e4,e4) = e3 ) ) ) ).
fof(definition_40,definition,
( definitionFOFtoCNF_65
<=> ( op(e3,e4) != e3
& op(e3,e3) = e4
& op(e4,e4) = e3 ) ) ).
fof(definition_41,definition,
( definitionFOFtoCNF_7
<=> ( ( op(e2,e2) != e3
| op(e3,e3) != e2
| op(e3,e2) = e3 )
& ( op(e2,e2) != e4
| op(e4,e4) != e2
| op(e2,e4) = e2 ) ) ) ).
fof(definition_42,definition,
( definitionFOFtoCNF_8
<=> ( op(e0,e0) != e3
| op(e3,e3) != e0
| op(e3,e0) = e3 ) ) ).
fof(definition_43,definition,
( definitionFOFtoCNF_9
<=> ( ( op(e4,e2) != e4
& op(e2,e2) = e4
& op(e4,e4) = e2 )
| ( op(e4,e3) != e4
& op(e3,e3) = e4
& op(e4,e4) = e3 ) ) ) ).
fof(subgoal_0,plain,
( ( ( ( op(e0,e0) = e0
& op(e0,e0) = e0
& op(e0,e0) != e0 )
| ( op(e0,e0) = e1
& op(e1,e1) = e0
& op(e0,e1) != e0 )
| ( op(e0,e0) = e2
& op(e2,e2) = e0
& op(e0,e2) != e0 )
| ( op(e0,e0) = e3
& op(e3,e3) = e0
& op(e0,e3) != e0 )
| ( op(e0,e0) = e4
& op(e4,e4) = e0
& op(e0,e4) != e0 )
| ( op(e1,e1) = e0
& op(e0,e0) = e1
& op(e1,e0) != e1 )
| ( op(e1,e1) = e1
& op(e1,e1) = e1
& op(e1,e1) != e1 )
| ( op(e1,e1) = e2
& op(e2,e2) = e1
& op(e1,e2) != e1 )
| ( op(e1,e1) = e3
& op(e3,e3) = e1
& op(e1,e3) != e1 )
| ( op(e1,e1) = e4
& op(e4,e4) = e1
& op(e1,e4) != e1 )
| ( op(e2,e2) = e0
& op(e0,e0) = e2
& op(e2,e0) != e2 )
| ( op(e2,e2) = e1
& op(e1,e1) = e2
& op(e2,e1) != e2 )
| ( op(e2,e2) = e2
& op(e2,e2) = e2
& op(e2,e2) != e2 )
| ( op(e2,e2) = e3
& op(e3,e3) = e2
& op(e2,e3) != e2 )
| ( op(e2,e2) = e4
& op(e4,e4) = e2
& op(e2,e4) != e2 )
| ( op(e3,e3) = e0
& op(e0,e0) = e3
& op(e3,e0) != e3 )
| ( op(e3,e3) = e1
& op(e1,e1) = e3
& op(e3,e1) != e3 )
| ( op(e3,e3) = e2
& op(e2,e2) = e3
& op(e3,e2) != e3 )
| ( op(e3,e3) = e3
& op(e3,e3) = e3
& op(e3,e3) != e3 )
| ( op(e3,e3) = e4
& op(e4,e4) = e3
& op(e3,e4) != e3 )
| ( op(e4,e4) = e0
& op(e0,e0) = e4
& op(e4,e0) != e4 )
| ( op(e4,e4) = e1
& op(e1,e1) = e4
& op(e4,e1) != e4 )
| ( op(e4,e4) = e2
& op(e2,e2) = e4
& op(e4,e2) != e4 )
| ( op(e4,e4) = e3
& op(e3,e3) = e4
& op(e4,e3) != e4 )
| ( op(e4,e4) = e4
& op(e4,e4) = e4
& op(e4,e4) != e4 ) )
& op(e0,e0) != op(e0,e0)
& op(op(e0,e0),e0) = e0 )
=> op(op(e0,e0),e0) = e0 ),
inference(strip,[],[co1]) ).
fof(subgoal_1,plain,
( ( ( ( op(e0,e0) = e0
& op(e0,e0) = e0
& op(e0,e0) != e0 )
| ( op(e0,e0) = e1
& op(e1,e1) = e0
& op(e0,e1) != e0 )
| ( op(e0,e0) = e2
& op(e2,e2) = e0
& op(e0,e2) != e0 )
| ( op(e0,e0) = e3
& op(e3,e3) = e0
& op(e0,e3) != e0 )
| ( op(e0,e0) = e4
& op(e4,e4) = e0
& op(e0,e4) != e0 )
| ( op(e1,e1) = e0
& op(e0,e0) = e1
& op(e1,e0) != e1 )
| ( op(e1,e1) = e1
& op(e1,e1) = e1
& op(e1,e1) != e1 )
| ( op(e1,e1) = e2
& op(e2,e2) = e1
& op(e1,e2) != e1 )
| ( op(e1,e1) = e3
& op(e3,e3) = e1
& op(e1,e3) != e1 )
| ( op(e1,e1) = e4
& op(e4,e4) = e1
& op(e1,e4) != e1 )
| ( op(e2,e2) = e0
& op(e0,e0) = e2
& op(e2,e0) != e2 )
| ( op(e2,e2) = e1
& op(e1,e1) = e2
& op(e2,e1) != e2 )
| ( op(e2,e2) = e2
& op(e2,e2) = e2
& op(e2,e2) != e2 )
| ( op(e2,e2) = e3
& op(e3,e3) = e2
& op(e2,e3) != e2 )
| ( op(e2,e2) = e4
& op(e4,e4) = e2
& op(e2,e4) != e2 )
| ( op(e3,e3) = e0
& op(e0,e0) = e3
& op(e3,e0) != e3 )
| ( op(e3,e3) = e1
& op(e1,e1) = e3
& op(e3,e1) != e3 )
| ( op(e3,e3) = e2
& op(e2,e2) = e3
& op(e3,e2) != e3 )
| ( op(e3,e3) = e3
& op(e3,e3) = e3
& op(e3,e3) != e3 )
| ( op(e3,e3) = e4
& op(e4,e4) = e3
& op(e3,e4) != e3 )
| ( op(e4,e4) = e0
& op(e0,e0) = e4
& op(e4,e0) != e4 )
| ( op(e4,e4) = e1
& op(e1,e1) = e4
& op(e4,e1) != e4 )
| ( op(e4,e4) = e2
& op(e2,e2) = e4
& op(e4,e2) != e4 )
| ( op(e4,e4) = e3
& op(e3,e3) = e4
& op(e4,e3) != e4 )
| ( op(e4,e4) = e4
& op(e4,e4) = e4
& op(e4,e4) != e4 ) )
& ~ ( op(e0,e0) != op(e0,e0)
& op(op(e0,e0),e0) = e0
& op(op(e0,e0),e0) != e0 )
& op(e1,e0) != op(e0,e1)
& op(op(e0,e1),e1) = e0 )
=> op(op(e0,e1),e0) = e1 ),
inference(strip,[],[co1]) ).
fof(subgoal_2,plain,
( ( ( ( op(e0,e0) = e0
& op(e0,e0) = e0
& op(e0,e0) != e0 )
| ( op(e0,e0) = e1
& op(e1,e1) = e0
& op(e0,e1) != e0 )
| ( op(e0,e0) = e2
& op(e2,e2) = e0
& op(e0,e2) != e0 )
| ( op(e0,e0) = e3
& op(e3,e3) = e0
& op(e0,e3) != e0 )
| ( op(e0,e0) = e4
& op(e4,e4) = e0
& op(e0,e4) != e0 )
| ( op(e1,e1) = e0
& op(e0,e0) = e1
& op(e1,e0) != e1 )
| ( op(e1,e1) = e1
& op(e1,e1) = e1
& op(e1,e1) != e1 )
| ( op(e1,e1) = e2
& op(e2,e2) = e1
& op(e1,e2) != e1 )
| ( op(e1,e1) = e3
& op(e3,e3) = e1
& op(e1,e3) != e1 )
| ( op(e1,e1) = e4
& op(e4,e4) = e1
& op(e1,e4) != e1 )
| ( op(e2,e2) = e0
& op(e0,e0) = e2
& op(e2,e0) != e2 )
| ( op(e2,e2) = e1
& op(e1,e1) = e2
& op(e2,e1) != e2 )
| ( op(e2,e2) = e2
& op(e2,e2) = e2
& op(e2,e2) != e2 )
| ( op(e2,e2) = e3
& op(e3,e3) = e2
& op(e2,e3) != e2 )
| ( op(e2,e2) = e4
& op(e4,e4) = e2
& op(e2,e4) != e2 )
| ( op(e3,e3) = e0
& op(e0,e0) = e3
& op(e3,e0) != e3 )
| ( op(e3,e3) = e1
& op(e1,e1) = e3
& op(e3,e1) != e3 )
| ( op(e3,e3) = e2
& op(e2,e2) = e3
& op(e3,e2) != e3 )
| ( op(e3,e3) = e3
& op(e3,e3) = e3
& op(e3,e3) != e3 )
| ( op(e3,e3) = e4
& op(e4,e4) = e3
& op(e3,e4) != e3 )
| ( op(e4,e4) = e0
& op(e0,e0) = e4
& op(e4,e0) != e4 )
| ( op(e4,e4) = e1
& op(e1,e1) = e4
& op(e4,e1) != e4 )
| ( op(e4,e4) = e2
& op(e2,e2) = e4
& op(e4,e2) != e4 )
| ( op(e4,e4) = e3
& op(e3,e3) = e4
& op(e4,e3) != e4 )
| ( op(e4,e4) = e4
& op(e4,e4) = e4
& op(e4,e4) != e4 ) )
& ~ ( op(e0,e0) != op(e0,e0)
& op(op(e0,e0),e0) = e0
& op(op(e0,e0),e0) != e0 )
& ~ ( op(e1,e0) != op(e0,e1)
& op(op(e0,e1),e1) = e0
& op(op(e0,e1),e0) != e1 )
& op(e2,e0) != op(e0,e2)
& op(op(e0,e2),e2) = e0 )
=> op(op(e0,e2),e0) = e2 ),
inference(strip,[],[co1]) ).
fof(subgoal_3,plain,
( ( ( ( op(e0,e0) = e0
& op(e0,e0) = e0
& op(e0,e0) != e0 )
| ( op(e0,e0) = e1
& op(e1,e1) = e0
& op(e0,e1) != e0 )
| ( op(e0,e0) = e2
& op(e2,e2) = e0
& op(e0,e2) != e0 )
| ( op(e0,e0) = e3
& op(e3,e3) = e0
& op(e0,e3) != e0 )
| ( op(e0,e0) = e4
& op(e4,e4) = e0
& op(e0,e4) != e0 )
| ( op(e1,e1) = e0
& op(e0,e0) = e1
& op(e1,e0) != e1 )
| ( op(e1,e1) = e1
& op(e1,e1) = e1
& op(e1,e1) != e1 )
| ( op(e1,e1) = e2
& op(e2,e2) = e1
& op(e1,e2) != e1 )
| ( op(e1,e1) = e3
& op(e3,e3) = e1
& op(e1,e3) != e1 )
| ( op(e1,e1) = e4
& op(e4,e4) = e1
& op(e1,e4) != e1 )
| ( op(e2,e2) = e0
& op(e0,e0) = e2
& op(e2,e0) != e2 )
| ( op(e2,e2) = e1
& op(e1,e1) = e2
& op(e2,e1) != e2 )
| ( op(e2,e2) = e2
& op(e2,e2) = e2
& op(e2,e2) != e2 )
| ( op(e2,e2) = e3
& op(e3,e3) = e2
& op(e2,e3) != e2 )
| ( op(e2,e2) = e4
& op(e4,e4) = e2
& op(e2,e4) != e2 )
| ( op(e3,e3) = e0
& op(e0,e0) = e3
& op(e3,e0) != e3 )
| ( op(e3,e3) = e1
& op(e1,e1) = e3
& op(e3,e1) != e3 )
| ( op(e3,e3) = e2
& op(e2,e2) = e3
& op(e3,e2) != e3 )
| ( op(e3,e3) = e3
& op(e3,e3) = e3
& op(e3,e3) != e3 )
| ( op(e3,e3) = e4
& op(e4,e4) = e3
& op(e3,e4) != e3 )
| ( op(e4,e4) = e0
& op(e0,e0) = e4
& op(e4,e0) != e4 )
| ( op(e4,e4) = e1
& op(e1,e1) = e4
& op(e4,e1) != e4 )
| ( op(e4,e4) = e2
& op(e2,e2) = e4
& op(e4,e2) != e4 )
| ( op(e4,e4) = e3
& op(e3,e3) = e4
& op(e4,e3) != e4 )
| ( op(e4,e4) = e4
& op(e4,e4) = e4
& op(e4,e4) != e4 ) )
& ~ ( op(e0,e0) != op(e0,e0)
& op(op(e0,e0),e0) = e0
& op(op(e0,e0),e0) != e0 )
& ~ ( op(e1,e0) != op(e0,e1)
& op(op(e0,e1),e1) = e0
& op(op(e0,e1),e0) != e1 )
& ~ ( op(e2,e0) != op(e0,e2)
& op(op(e0,e2),e2) = e0
& op(op(e0,e2),e0) != e2 )
& op(e3,e0) != op(e0,e3)
& op(op(e0,e3),e3) = e0 )
=> op(op(e0,e3),e0) = e3 ),
inference(strip,[],[co1]) ).
fof(subgoal_4,plain,
( ( ( ( op(e0,e0) = e0
& op(e0,e0) = e0
& op(e0,e0) != e0 )
| ( op(e0,e0) = e1
& op(e1,e1) = e0
& op(e0,e1) != e0 )
| ( op(e0,e0) = e2
& op(e2,e2) = e0
& op(e0,e2) != e0 )
| ( op(e0,e0) = e3
& op(e3,e3) = e0
& op(e0,e3) != e0 )
| ( op(e0,e0) = e4
& op(e4,e4) = e0
& op(e0,e4) != e0 )
| ( op(e1,e1) = e0
& op(e0,e0) = e1
& op(e1,e0) != e1 )
| ( op(e1,e1) = e1
& op(e1,e1) = e1
& op(e1,e1) != e1 )
| ( op(e1,e1) = e2
& op(e2,e2) = e1
& op(e1,e2) != e1 )
| ( op(e1,e1) = e3
& op(e3,e3) = e1
& op(e1,e3) != e1 )
| ( op(e1,e1) = e4
& op(e4,e4) = e1
& op(e1,e4) != e1 )
| ( op(e2,e2) = e0
& op(e0,e0) = e2
& op(e2,e0) != e2 )
| ( op(e2,e2) = e1
& op(e1,e1) = e2
& op(e2,e1) != e2 )
| ( op(e2,e2) = e2
& op(e2,e2) = e2
& op(e2,e2) != e2 )
| ( op(e2,e2) = e3
& op(e3,e3) = e2
& op(e2,e3) != e2 )
| ( op(e2,e2) = e4
& op(e4,e4) = e2
& op(e2,e4) != e2 )
| ( op(e3,e3) = e0
& op(e0,e0) = e3
& op(e3,e0) != e3 )
| ( op(e3,e3) = e1
& op(e1,e1) = e3
& op(e3,e1) != e3 )
| ( op(e3,e3) = e2
& op(e2,e2) = e3
& op(e3,e2) != e3 )
| ( op(e3,e3) = e3
& op(e3,e3) = e3
& op(e3,e3) != e3 )
| ( op(e3,e3) = e4
& op(e4,e4) = e3
& op(e3,e4) != e3 )
| ( op(e4,e4) = e0
& op(e0,e0) = e4
& op(e4,e0) != e4 )
| ( op(e4,e4) = e1
& op(e1,e1) = e4
& op(e4,e1) != e4 )
| ( op(e4,e4) = e2
& op(e2,e2) = e4
& op(e4,e2) != e4 )
| ( op(e4,e4) = e3
& op(e3,e3) = e4
& op(e4,e3) != e4 )
| ( op(e4,e4) = e4
& op(e4,e4) = e4
& op(e4,e4) != e4 ) )
& ~ ( op(e0,e0) != op(e0,e0)
& op(op(e0,e0),e0) = e0
& op(op(e0,e0),e0) != e0 )
& ~ ( op(e1,e0) != op(e0,e1)
& op(op(e0,e1),e1) = e0
& op(op(e0,e1),e0) != e1 )
& ~ ( op(e2,e0) != op(e0,e2)
& op(op(e0,e2),e2) = e0
& op(op(e0,e2),e0) != e2 )
& ~ ( op(e3,e0) != op(e0,e3)
& op(op(e0,e3),e3) = e0
& op(op(e0,e3),e0) != e3 )
& op(e4,e0) != op(e0,e4)
& op(op(e0,e4),e4) = e0 )
=> op(op(e0,e4),e0) = e4 ),
inference(strip,[],[co1]) ).
fof(subgoal_5,plain,
( ( ( ( op(e0,e0) = e0
& op(e0,e0) = e0
& op(e0,e0) != e0 )
| ( op(e0,e0) = e1
& op(e1,e1) = e0
& op(e0,e1) != e0 )
| ( op(e0,e0) = e2
& op(e2,e2) = e0
& op(e0,e2) != e0 )
| ( op(e0,e0) = e3
& op(e3,e3) = e0
& op(e0,e3) != e0 )
| ( op(e0,e0) = e4
& op(e4,e4) = e0
& op(e0,e4) != e0 )
| ( op(e1,e1) = e0
& op(e0,e0) = e1
& op(e1,e0) != e1 )
| ( op(e1,e1) = e1
& op(e1,e1) = e1
& op(e1,e1) != e1 )
| ( op(e1,e1) = e2
& op(e2,e2) = e1
& op(e1,e2) != e1 )
| ( op(e1,e1) = e3
& op(e3,e3) = e1
& op(e1,e3) != e1 )
| ( op(e1,e1) = e4
& op(e4,e4) = e1
& op(e1,e4) != e1 )
| ( op(e2,e2) = e0
& op(e0,e0) = e2
& op(e2,e0) != e2 )
| ( op(e2,e2) = e1
& op(e1,e1) = e2
& op(e2,e1) != e2 )
| ( op(e2,e2) = e2
& op(e2,e2) = e2
& op(e2,e2) != e2 )
| ( op(e2,e2) = e3
& op(e3,e3) = e2
& op(e2,e3) != e2 )
| ( op(e2,e2) = e4
& op(e4,e4) = e2
& op(e2,e4) != e2 )
| ( op(e3,e3) = e0
& op(e0,e0) = e3
& op(e3,e0) != e3 )
| ( op(e3,e3) = e1
& op(e1,e1) = e3
& op(e3,e1) != e3 )
| ( op(e3,e3) = e2
& op(e2,e2) = e3
& op(e3,e2) != e3 )
| ( op(e3,e3) = e3
& op(e3,e3) = e3
& op(e3,e3) != e3 )
| ( op(e3,e3) = e4
& op(e4,e4) = e3
& op(e3,e4) != e3 )
| ( op(e4,e4) = e0
& op(e0,e0) = e4
& op(e4,e0) != e4 )
| ( op(e4,e4) = e1
& op(e1,e1) = e4
& op(e4,e1) != e4 )
| ( op(e4,e4) = e2
& op(e2,e2) = e4
& op(e4,e2) != e4 )
| ( op(e4,e4) = e3
& op(e3,e3) = e4
& op(e4,e3) != e4 )
| ( op(e4,e4) = e4
& op(e4,e4) = e4
& op(e4,e4) != e4 ) )
& ~ ( op(e0,e0) != op(e0,e0)
& op(op(e0,e0),e0) = e0
& op(op(e0,e0),e0) != e0 )
& ~ ( op(e1,e0) != op(e0,e1)
& op(op(e0,e1),e1) = e0
& op(op(e0,e1),e0) != e1 )
& ~ ( op(e2,e0) != op(e0,e2)
& op(op(e0,e2),e2) = e0
& op(op(e0,e2),e0) != e2 )
& ~ ( op(e3,e0) != op(e0,e3)
& op(op(e0,e3),e3) = e0
& op(op(e0,e3),e0) != e3 )
& ~ ( op(e4,e0) != op(e0,e4)
& op(op(e0,e4),e4) = e0
& op(op(e0,e4),e0) != e4 )
& op(e0,e1) != op(e1,e0)
& op(op(e1,e0),e0) = e1 )
=> op(op(e1,e0),e1) = e0 ),
inference(strip,[],[co1]) ).
fof(subgoal_6,plain,
( ( ( ( op(e0,e0) = e0
& op(e0,e0) = e0
& op(e0,e0) != e0 )
| ( op(e0,e0) = e1
& op(e1,e1) = e0
& op(e0,e1) != e0 )
| ( op(e0,e0) = e2
& op(e2,e2) = e0
& op(e0,e2) != e0 )
| ( op(e0,e0) = e3
& op(e3,e3) = e0
& op(e0,e3) != e0 )
| ( op(e0,e0) = e4
& op(e4,e4) = e0
& op(e0,e4) != e0 )
| ( op(e1,e1) = e0
& op(e0,e0) = e1
& op(e1,e0) != e1 )
| ( op(e1,e1) = e1
& op(e1,e1) = e1
& op(e1,e1) != e1 )
| ( op(e1,e1) = e2
& op(e2,e2) = e1
& op(e1,e2) != e1 )
| ( op(e1,e1) = e3
& op(e3,e3) = e1
& op(e1,e3) != e1 )
| ( op(e1,e1) = e4
& op(e4,e4) = e1
& op(e1,e4) != e1 )
| ( op(e2,e2) = e0
& op(e0,e0) = e2
& op(e2,e0) != e2 )
| ( op(e2,e2) = e1
& op(e1,e1) = e2
& op(e2,e1) != e2 )
| ( op(e2,e2) = e2
& op(e2,e2) = e2
& op(e2,e2) != e2 )
| ( op(e2,e2) = e3
& op(e3,e3) = e2
& op(e2,e3) != e2 )
| ( op(e2,e2) = e4
& op(e4,e4) = e2
& op(e2,e4) != e2 )
| ( op(e3,e3) = e0
& op(e0,e0) = e3
& op(e3,e0) != e3 )
| ( op(e3,e3) = e1
& op(e1,e1) = e3
& op(e3,e1) != e3 )
| ( op(e3,e3) = e2
& op(e2,e2) = e3
& op(e3,e2) != e3 )
| ( op(e3,e3) = e3
& op(e3,e3) = e3
& op(e3,e3) != e3 )
| ( op(e3,e3) = e4
& op(e4,e4) = e3
& op(e3,e4) != e3 )
| ( op(e4,e4) = e0
& op(e0,e0) = e4
& op(e4,e0) != e4 )
| ( op(e4,e4) = e1
& op(e1,e1) = e4
& op(e4,e1) != e4 )
| ( op(e4,e4) = e2
& op(e2,e2) = e4
& op(e4,e2) != e4 )
| ( op(e4,e4) = e3
& op(e3,e3) = e4
& op(e4,e3) != e4 )
| ( op(e4,e4) = e4
& op(e4,e4) = e4
& op(e4,e4) != e4 ) )
& ~ ( op(e0,e0) != op(e0,e0)
& op(op(e0,e0),e0) = e0
& op(op(e0,e0),e0) != e0 )
& ~ ( op(e1,e0) != op(e0,e1)
& op(op(e0,e1),e1) = e0
& op(op(e0,e1),e0) != e1 )
& ~ ( op(e2,e0) != op(e0,e2)
& op(op(e0,e2),e2) = e0
& op(op(e0,e2),e0) != e2 )
& ~ ( op(e3,e0) != op(e0,e3)
& op(op(e0,e3),e3) = e0
& op(op(e0,e3),e0) != e3 )
& ~ ( op(e4,e0) != op(e0,e4)
& op(op(e0,e4),e4) = e0
& op(op(e0,e4),e0) != e4 )
& ~ ( op(e0,e1) != op(e1,e0)
& op(op(e1,e0),e0) = e1
& op(op(e1,e0),e1) != e0 )
& op(e1,e1) != op(e1,e1)
& op(op(e1,e1),e1) = e1 )
=> op(op(e1,e1),e1) = e1 ),
inference(strip,[],[co1]) ).
fof(subgoal_7,plain,
( ( ( ( op(e0,e0) = e0
& op(e0,e0) = e0
& op(e0,e0) != e0 )
| ( op(e0,e0) = e1
& op(e1,e1) = e0
& op(e0,e1) != e0 )
| ( op(e0,e0) = e2
& op(e2,e2) = e0
& op(e0,e2) != e0 )
| ( op(e0,e0) = e3
& op(e3,e3) = e0
& op(e0,e3) != e0 )
| ( op(e0,e0) = e4
& op(e4,e4) = e0
& op(e0,e4) != e0 )
| ( op(e1,e1) = e0
& op(e0,e0) = e1
& op(e1,e0) != e1 )
| ( op(e1,e1) = e1
& op(e1,e1) = e1
& op(e1,e1) != e1 )
| ( op(e1,e1) = e2
& op(e2,e2) = e1
& op(e1,e2) != e1 )
| ( op(e1,e1) = e3
& op(e3,e3) = e1
& op(e1,e3) != e1 )
| ( op(e1,e1) = e4
& op(e4,e4) = e1
& op(e1,e4) != e1 )
| ( op(e2,e2) = e0
& op(e0,e0) = e2
& op(e2,e0) != e2 )
| ( op(e2,e2) = e1
& op(e1,e1) = e2
& op(e2,e1) != e2 )
| ( op(e2,e2) = e2
& op(e2,e2) = e2
& op(e2,e2) != e2 )
| ( op(e2,e2) = e3
& op(e3,e3) = e2
& op(e2,e3) != e2 )
| ( op(e2,e2) = e4
& op(e4,e4) = e2
& op(e2,e4) != e2 )
| ( op(e3,e3) = e0
& op(e0,e0) = e3
& op(e3,e0) != e3 )
| ( op(e3,e3) = e1
& op(e1,e1) = e3
& op(e3,e1) != e3 )
| ( op(e3,e3) = e2
& op(e2,e2) = e3
& op(e3,e2) != e3 )
| ( op(e3,e3) = e3
& op(e3,e3) = e3
& op(e3,e3) != e3 )
| ( op(e3,e3) = e4
& op(e4,e4) = e3
& op(e3,e4) != e3 )
| ( op(e4,e4) = e0
& op(e0,e0) = e4
& op(e4,e0) != e4 )
| ( op(e4,e4) = e1
& op(e1,e1) = e4
& op(e4,e1) != e4 )
| ( op(e4,e4) = e2
& op(e2,e2) = e4
& op(e4,e2) != e4 )
| ( op(e4,e4) = e3
& op(e3,e3) = e4
& op(e4,e3) != e4 )
| ( op(e4,e4) = e4
& op(e4,e4) = e4
& op(e4,e4) != e4 ) )
& ~ ( op(e0,e0) != op(e0,e0)
& op(op(e0,e0),e0) = e0
& op(op(e0,e0),e0) != e0 )
& ~ ( op(e1,e0) != op(e0,e1)
& op(op(e0,e1),e1) = e0
& op(op(e0,e1),e0) != e1 )
& ~ ( op(e2,e0) != op(e0,e2)
& op(op(e0,e2),e2) = e0
& op(op(e0,e2),e0) != e2 )
& ~ ( op(e3,e0) != op(e0,e3)
& op(op(e0,e3),e3) = e0
& op(op(e0,e3),e0) != e3 )
& ~ ( op(e4,e0) != op(e0,e4)
& op(op(e0,e4),e4) = e0
& op(op(e0,e4),e0) != e4 )
& ~ ( op(e0,e1) != op(e1,e0)
& op(op(e1,e0),e0) = e1
& op(op(e1,e0),e1) != e0 )
& ~ ( op(e1,e1) != op(e1,e1)
& op(op(e1,e1),e1) = e1
& op(op(e1,e1),e1) != e1 )
& op(e2,e1) != op(e1,e2)
& op(op(e1,e2),e2) = e1 )
=> op(op(e1,e2),e1) = e2 ),
inference(strip,[],[co1]) ).
fof(subgoal_8,plain,
( ( ( ( op(e0,e0) = e0
& op(e0,e0) = e0
& op(e0,e0) != e0 )
| ( op(e0,e0) = e1
& op(e1,e1) = e0
& op(e0,e1) != e0 )
| ( op(e0,e0) = e2
& op(e2,e2) = e0
& op(e0,e2) != e0 )
| ( op(e0,e0) = e3
& op(e3,e3) = e0
& op(e0,e3) != e0 )
| ( op(e0,e0) = e4
& op(e4,e4) = e0
& op(e0,e4) != e0 )
| ( op(e1,e1) = e0
& op(e0,e0) = e1
& op(e1,e0) != e1 )
| ( op(e1,e1) = e1
& op(e1,e1) = e1
& op(e1,e1) != e1 )
| ( op(e1,e1) = e2
& op(e2,e2) = e1
& op(e1,e2) != e1 )
| ( op(e1,e1) = e3
& op(e3,e3) = e1
& op(e1,e3) != e1 )
| ( op(e1,e1) = e4
& op(e4,e4) = e1
& op(e1,e4) != e1 )
| ( op(e2,e2) = e0
& op(e0,e0) = e2
& op(e2,e0) != e2 )
| ( op(e2,e2) = e1
& op(e1,e1) = e2
& op(e2,e1) != e2 )
| ( op(e2,e2) = e2
& op(e2,e2) = e2
& op(e2,e2) != e2 )
| ( op(e2,e2) = e3
& op(e3,e3) = e2
& op(e2,e3) != e2 )
| ( op(e2,e2) = e4
& op(e4,e4) = e2
& op(e2,e4) != e2 )
| ( op(e3,e3) = e0
& op(e0,e0) = e3
& op(e3,e0) != e3 )
| ( op(e3,e3) = e1
& op(e1,e1) = e3
& op(e3,e1) != e3 )
| ( op(e3,e3) = e2
& op(e2,e2) = e3
& op(e3,e2) != e3 )
| ( op(e3,e3) = e3
& op(e3,e3) = e3
& op(e3,e3) != e3 )
| ( op(e3,e3) = e4
& op(e4,e4) = e3
& op(e3,e4) != e3 )
| ( op(e4,e4) = e0
& op(e0,e0) = e4
& op(e4,e0) != e4 )
| ( op(e4,e4) = e1
& op(e1,e1) = e4
& op(e4,e1) != e4 )
| ( op(e4,e4) = e2
& op(e2,e2) = e4
& op(e4,e2) != e4 )
| ( op(e4,e4) = e3
& op(e3,e3) = e4
& op(e4,e3) != e4 )
| ( op(e4,e4) = e4
& op(e4,e4) = e4
& op(e4,e4) != e4 ) )
& ~ ( op(e0,e0) != op(e0,e0)
& op(op(e0,e0),e0) = e0
& op(op(e0,e0),e0) != e0 )
& ~ ( op(e1,e0) != op(e0,e1)
& op(op(e0,e1),e1) = e0
& op(op(e0,e1),e0) != e1 )
& ~ ( op(e2,e0) != op(e0,e2)
& op(op(e0,e2),e2) = e0
& op(op(e0,e2),e0) != e2 )
& ~ ( op(e3,e0) != op(e0,e3)
& op(op(e0,e3),e3) = e0
& op(op(e0,e3),e0) != e3 )
& ~ ( op(e4,e0) != op(e0,e4)
& op(op(e0,e4),e4) = e0
& op(op(e0,e4),e0) != e4 )
& ~ ( op(e0,e1) != op(e1,e0)
& op(op(e1,e0),e0) = e1
& op(op(e1,e0),e1) != e0 )
& ~ ( op(e1,e1) != op(e1,e1)
& op(op(e1,e1),e1) = e1
& op(op(e1,e1),e1) != e1 )
& ~ ( op(e2,e1) != op(e1,e2)
& op(op(e1,e2),e2) = e1
& op(op(e1,e2),e1) != e2 )
& op(e3,e1) != op(e1,e3)
& op(op(e1,e3),e3) = e1 )
=> op(op(e1,e3),e1) = e3 ),
inference(strip,[],[co1]) ).
fof(subgoal_9,plain,
( ( ( ( op(e0,e0) = e0
& op(e0,e0) = e0
& op(e0,e0) != e0 )
| ( op(e0,e0) = e1
& op(e1,e1) = e0
& op(e0,e1) != e0 )
| ( op(e0,e0) = e2
& op(e2,e2) = e0
& op(e0,e2) != e0 )
| ( op(e0,e0) = e3
& op(e3,e3) = e0
& op(e0,e3) != e0 )
| ( op(e0,e0) = e4
& op(e4,e4) = e0
& op(e0,e4) != e0 )
| ( op(e1,e1) = e0
& op(e0,e0) = e1
& op(e1,e0) != e1 )
| ( op(e1,e1) = e1
& op(e1,e1) = e1
& op(e1,e1) != e1 )
| ( op(e1,e1) = e2
& op(e2,e2) = e1
& op(e1,e2) != e1 )
| ( op(e1,e1) = e3
& op(e3,e3) = e1
& op(e1,e3) != e1 )
| ( op(e1,e1) = e4
& op(e4,e4) = e1
& op(e1,e4) != e1 )
| ( op(e2,e2) = e0
& op(e0,e0) = e2
& op(e2,e0) != e2 )
| ( op(e2,e2) = e1
& op(e1,e1) = e2
& op(e2,e1) != e2 )
| ( op(e2,e2) = e2
& op(e2,e2) = e2
& op(e2,e2) != e2 )
| ( op(e2,e2) = e3
& op(e3,e3) = e2
& op(e2,e3) != e2 )
| ( op(e2,e2) = e4
& op(e4,e4) = e2
& op(e2,e4) != e2 )
| ( op(e3,e3) = e0
& op(e0,e0) = e3
& op(e3,e0) != e3 )
| ( op(e3,e3) = e1
& op(e1,e1) = e3
& op(e3,e1) != e3 )
| ( op(e3,e3) = e2
& op(e2,e2) = e3
& op(e3,e2) != e3 )
| ( op(e3,e3) = e3
& op(e3,e3) = e3
& op(e3,e3) != e3 )
| ( op(e3,e3) = e4
& op(e4,e4) = e3
& op(e3,e4) != e3 )
| ( op(e4,e4) = e0
& op(e0,e0) = e4
& op(e4,e0) != e4 )
| ( op(e4,e4) = e1
& op(e1,e1) = e4
& op(e4,e1) != e4 )
| ( op(e4,e4) = e2
& op(e2,e2) = e4
& op(e4,e2) != e4 )
| ( op(e4,e4) = e3
& op(e3,e3) = e4
& op(e4,e3) != e4 )
| ( op(e4,e4) = e4
& op(e4,e4) = e4
& op(e4,e4) != e4 ) )
& ~ ( op(e0,e0) != op(e0,e0)
& op(op(e0,e0),e0) = e0
& op(op(e0,e0),e0) != e0 )
& ~ ( op(e1,e0) != op(e0,e1)
& op(op(e0,e1),e1) = e0
& op(op(e0,e1),e0) != e1 )
& ~ ( op(e2,e0) != op(e0,e2)
& op(op(e0,e2),e2) = e0
& op(op(e0,e2),e0) != e2 )
& ~ ( op(e3,e0) != op(e0,e3)
& op(op(e0,e3),e3) = e0
& op(op(e0,e3),e0) != e3 )
& ~ ( op(e4,e0) != op(e0,e4)
& op(op(e0,e4),e4) = e0
& op(op(e0,e4),e0) != e4 )
& ~ ( op(e0,e1) != op(e1,e0)
& op(op(e1,e0),e0) = e1
& op(op(e1,e0),e1) != e0 )
& ~ ( op(e1,e1) != op(e1,e1)
& op(op(e1,e1),e1) = e1
& op(op(e1,e1),e1) != e1 )
& ~ ( op(e2,e1) != op(e1,e2)
& op(op(e1,e2),e2) = e1
& op(op(e1,e2),e1) != e2 )
& ~ ( op(e3,e1) != op(e1,e3)
& op(op(e1,e3),e3) = e1
& op(op(e1,e3),e1) != e3 )
& op(e4,e1) != op(e1,e4)
& op(op(e1,e4),e4) = e1 )
=> op(op(e1,e4),e1) = e4 ),
inference(strip,[],[co1]) ).
fof(subgoal_10,plain,
( ( ( ( op(e0,e0) = e0
& op(e0,e0) = e0
& op(e0,e0) != e0 )
| ( op(e0,e0) = e1
& op(e1,e1) = e0
& op(e0,e1) != e0 )
| ( op(e0,e0) = e2
& op(e2,e2) = e0
& op(e0,e2) != e0 )
| ( op(e0,e0) = e3
& op(e3,e3) = e0
& op(e0,e3) != e0 )
| ( op(e0,e0) = e4
& op(e4,e4) = e0
& op(e0,e4) != e0 )
| ( op(e1,e1) = e0
& op(e0,e0) = e1
& op(e1,e0) != e1 )
| ( op(e1,e1) = e1
& op(e1,e1) = e1
& op(e1,e1) != e1 )
| ( op(e1,e1) = e2
& op(e2,e2) = e1
& op(e1,e2) != e1 )
| ( op(e1,e1) = e3
& op(e3,e3) = e1
& op(e1,e3) != e1 )
| ( op(e1,e1) = e4
& op(e4,e4) = e1
& op(e1,e4) != e1 )
| ( op(e2,e2) = e0
& op(e0,e0) = e2
& op(e2,e0) != e2 )
| ( op(e2,e2) = e1
& op(e1,e1) = e2
& op(e2,e1) != e2 )
| ( op(e2,e2) = e2
& op(e2,e2) = e2
& op(e2,e2) != e2 )
| ( op(e2,e2) = e3
& op(e3,e3) = e2
& op(e2,e3) != e2 )
| ( op(e2,e2) = e4
& op(e4,e4) = e2
& op(e2,e4) != e2 )
| ( op(e3,e3) = e0
& op(e0,e0) = e3
& op(e3,e0) != e3 )
| ( op(e3,e3) = e1
& op(e1,e1) = e3
& op(e3,e1) != e3 )
| ( op(e3,e3) = e2
& op(e2,e2) = e3
& op(e3,e2) != e3 )
| ( op(e3,e3) = e3
& op(e3,e3) = e3
& op(e3,e3) != e3 )
| ( op(e3,e3) = e4
& op(e4,e4) = e3
& op(e3,e4) != e3 )
| ( op(e4,e4) = e0
& op(e0,e0) = e4
& op(e4,e0) != e4 )
| ( op(e4,e4) = e1
& op(e1,e1) = e4
& op(e4,e1) != e4 )
| ( op(e4,e4) = e2
& op(e2,e2) = e4
& op(e4,e2) != e4 )
| ( op(e4,e4) = e3
& op(e3,e3) = e4
& op(e4,e3) != e4 )
| ( op(e4,e4) = e4
& op(e4,e4) = e4
& op(e4,e4) != e4 ) )
& ~ ( op(e0,e0) != op(e0,e0)
& op(op(e0,e0),e0) = e0
& op(op(e0,e0),e0) != e0 )
& ~ ( op(e1,e0) != op(e0,e1)
& op(op(e0,e1),e1) = e0
& op(op(e0,e1),e0) != e1 )
& ~ ( op(e2,e0) != op(e0,e2)
& op(op(e0,e2),e2) = e0
& op(op(e0,e2),e0) != e2 )
& ~ ( op(e3,e0) != op(e0,e3)
& op(op(e0,e3),e3) = e0
& op(op(e0,e3),e0) != e3 )
& ~ ( op(e4,e0) != op(e0,e4)
& op(op(e0,e4),e4) = e0
& op(op(e0,e4),e0) != e4 )
& ~ ( op(e0,e1) != op(e1,e0)
& op(op(e1,e0),e0) = e1
& op(op(e1,e0),e1) != e0 )
& ~ ( op(e1,e1) != op(e1,e1)
& op(op(e1,e1),e1) = e1
& op(op(e1,e1),e1) != e1 )
& ~ ( op(e2,e1) != op(e1,e2)
& op(op(e1,e2),e2) = e1
& op(op(e1,e2),e1) != e2 )
& ~ ( op(e3,e1) != op(e1,e3)
& op(op(e1,e3),e3) = e1
& op(op(e1,e3),e1) != e3 )
& ~ ( op(e4,e1) != op(e1,e4)
& op(op(e1,e4),e4) = e1
& op(op(e1,e4),e1) != e4 )
& op(e0,e2) != op(e2,e0)
& op(op(e2,e0),e0) = e2 )
=> op(op(e2,e0),e2) = e0 ),
inference(strip,[],[co1]) ).
fof(subgoal_11,plain,
( ( ( ( op(e0,e0) = e0
& op(e0,e0) = e0
& op(e0,e0) != e0 )
| ( op(e0,e0) = e1
& op(e1,e1) = e0
& op(e0,e1) != e0 )
| ( op(e0,e0) = e2
& op(e2,e2) = e0
& op(e0,e2) != e0 )
| ( op(e0,e0) = e3
& op(e3,e3) = e0
& op(e0,e3) != e0 )
| ( op(e0,e0) = e4
& op(e4,e4) = e0
& op(e0,e4) != e0 )
| ( op(e1,e1) = e0
& op(e0,e0) = e1
& op(e1,e0) != e1 )
| ( op(e1,e1) = e1
& op(e1,e1) = e1
& op(e1,e1) != e1 )
| ( op(e1,e1) = e2
& op(e2,e2) = e1
& op(e1,e2) != e1 )
| ( op(e1,e1) = e3
& op(e3,e3) = e1
& op(e1,e3) != e1 )
| ( op(e1,e1) = e4
& op(e4,e4) = e1
& op(e1,e4) != e1 )
| ( op(e2,e2) = e0
& op(e0,e0) = e2
& op(e2,e0) != e2 )
| ( op(e2,e2) = e1
& op(e1,e1) = e2
& op(e2,e1) != e2 )
| ( op(e2,e2) = e2
& op(e2,e2) = e2
& op(e2,e2) != e2 )
| ( op(e2,e2) = e3
& op(e3,e3) = e2
& op(e2,e3) != e2 )
| ( op(e2,e2) = e4
& op(e4,e4) = e2
& op(e2,e4) != e2 )
| ( op(e3,e3) = e0
& op(e0,e0) = e3
& op(e3,e0) != e3 )
| ( op(e3,e3) = e1
& op(e1,e1) = e3
& op(e3,e1) != e3 )
| ( op(e3,e3) = e2
& op(e2,e2) = e3
& op(e3,e2) != e3 )
| ( op(e3,e3) = e3
& op(e3,e3) = e3
& op(e3,e3) != e3 )
| ( op(e3,e3) = e4
& op(e4,e4) = e3
& op(e3,e4) != e3 )
| ( op(e4,e4) = e0
& op(e0,e0) = e4
& op(e4,e0) != e4 )
| ( op(e4,e4) = e1
& op(e1,e1) = e4
& op(e4,e1) != e4 )
| ( op(e4,e4) = e2
& op(e2,e2) = e4
& op(e4,e2) != e4 )
| ( op(e4,e4) = e3
& op(e3,e3) = e4
& op(e4,e3) != e4 )
| ( op(e4,e4) = e4
& op(e4,e4) = e4
& op(e4,e4) != e4 ) )
& ~ ( op(e0,e0) != op(e0,e0)
& op(op(e0,e0),e0) = e0
& op(op(e0,e0),e0) != e0 )
& ~ ( op(e1,e0) != op(e0,e1)
& op(op(e0,e1),e1) = e0
& op(op(e0,e1),e0) != e1 )
& ~ ( op(e2,e0) != op(e0,e2)
& op(op(e0,e2),e2) = e0
& op(op(e0,e2),e0) != e2 )
& ~ ( op(e3,e0) != op(e0,e3)
& op(op(e0,e3),e3) = e0
& op(op(e0,e3),e0) != e3 )
& ~ ( op(e4,e0) != op(e0,e4)
& op(op(e0,e4),e4) = e0
& op(op(e0,e4),e0) != e4 )
& ~ ( op(e0,e1) != op(e1,e0)
& op(op(e1,e0),e0) = e1
& op(op(e1,e0),e1) != e0 )
& ~ ( op(e1,e1) != op(e1,e1)
& op(op(e1,e1),e1) = e1
& op(op(e1,e1),e1) != e1 )
& ~ ( op(e2,e1) != op(e1,e2)
& op(op(e1,e2),e2) = e1
& op(op(e1,e2),e1) != e2 )
& ~ ( op(e3,e1) != op(e1,e3)
& op(op(e1,e3),e3) = e1
& op(op(e1,e3),e1) != e3 )
& ~ ( op(e4,e1) != op(e1,e4)
& op(op(e1,e4),e4) = e1
& op(op(e1,e4),e1) != e4 )
& ~ ( op(e0,e2) != op(e2,e0)
& op(op(e2,e0),e0) = e2
& op(op(e2,e0),e2) != e0 )
& op(e1,e2) != op(e2,e1)
& op(op(e2,e1),e1) = e2 )
=> op(op(e2,e1),e2) = e1 ),
inference(strip,[],[co1]) ).
fof(subgoal_12,plain,
( ( ( ( op(e0,e0) = e0
& op(e0,e0) = e0
& op(e0,e0) != e0 )
| ( op(e0,e0) = e1
& op(e1,e1) = e0
& op(e0,e1) != e0 )
| ( op(e0,e0) = e2
& op(e2,e2) = e0
& op(e0,e2) != e0 )
| ( op(e0,e0) = e3
& op(e3,e3) = e0
& op(e0,e3) != e0 )
| ( op(e0,e0) = e4
& op(e4,e4) = e0
& op(e0,e4) != e0 )
| ( op(e1,e1) = e0
& op(e0,e0) = e1
& op(e1,e0) != e1 )
| ( op(e1,e1) = e1
& op(e1,e1) = e1
& op(e1,e1) != e1 )
| ( op(e1,e1) = e2
& op(e2,e2) = e1
& op(e1,e2) != e1 )
| ( op(e1,e1) = e3
& op(e3,e3) = e1
& op(e1,e3) != e1 )
| ( op(e1,e1) = e4
& op(e4,e4) = e1
& op(e1,e4) != e1 )
| ( op(e2,e2) = e0
& op(e0,e0) = e2
& op(e2,e0) != e2 )
| ( op(e2,e2) = e1
& op(e1,e1) = e2
& op(e2,e1) != e2 )
| ( op(e2,e2) = e2
& op(e2,e2) = e2
& op(e2,e2) != e2 )
| ( op(e2,e2) = e3
& op(e3,e3) = e2
& op(e2,e3) != e2 )
| ( op(e2,e2) = e4
& op(e4,e4) = e2
& op(e2,e4) != e2 )
| ( op(e3,e3) = e0
& op(e0,e0) = e3
& op(e3,e0) != e3 )
| ( op(e3,e3) = e1
& op(e1,e1) = e3
& op(e3,e1) != e3 )
| ( op(e3,e3) = e2
& op(e2,e2) = e3
& op(e3,e2) != e3 )
| ( op(e3,e3) = e3
& op(e3,e3) = e3
& op(e3,e3) != e3 )
| ( op(e3,e3) = e4
& op(e4,e4) = e3
& op(e3,e4) != e3 )
| ( op(e4,e4) = e0
& op(e0,e0) = e4
& op(e4,e0) != e4 )
| ( op(e4,e4) = e1
& op(e1,e1) = e4
& op(e4,e1) != e4 )
| ( op(e4,e4) = e2
& op(e2,e2) = e4
& op(e4,e2) != e4 )
| ( op(e4,e4) = e3
& op(e3,e3) = e4
& op(e4,e3) != e4 )
| ( op(e4,e4) = e4
& op(e4,e4) = e4
& op(e4,e4) != e4 ) )
& ~ ( op(e0,e0) != op(e0,e0)
& op(op(e0,e0),e0) = e0
& op(op(e0,e0),e0) != e0 )
& ~ ( op(e1,e0) != op(e0,e1)
& op(op(e0,e1),e1) = e0
& op(op(e0,e1),e0) != e1 )
& ~ ( op(e2,e0) != op(e0,e2)
& op(op(e0,e2),e2) = e0
& op(op(e0,e2),e0) != e2 )
& ~ ( op(e3,e0) != op(e0,e3)
& op(op(e0,e3),e3) = e0
& op(op(e0,e3),e0) != e3 )
& ~ ( op(e4,e0) != op(e0,e4)
& op(op(e0,e4),e4) = e0
& op(op(e0,e4),e0) != e4 )
& ~ ( op(e0,e1) != op(e1,e0)
& op(op(e1,e0),e0) = e1
& op(op(e1,e0),e1) != e0 )
& ~ ( op(e1,e1) != op(e1,e1)
& op(op(e1,e1),e1) = e1
& op(op(e1,e1),e1) != e1 )
& ~ ( op(e2,e1) != op(e1,e2)
& op(op(e1,e2),e2) = e1
& op(op(e1,e2),e1) != e2 )
& ~ ( op(e3,e1) != op(e1,e3)
& op(op(e1,e3),e3) = e1
& op(op(e1,e3),e1) != e3 )
& ~ ( op(e4,e1) != op(e1,e4)
& op(op(e1,e4),e4) = e1
& op(op(e1,e4),e1) != e4 )
& ~ ( op(e0,e2) != op(e2,e0)
& op(op(e2,e0),e0) = e2
& op(op(e2,e0),e2) != e0 )
& ~ ( op(e1,e2) != op(e2,e1)
& op(op(e2,e1),e1) = e2
& op(op(e2,e1),e2) != e1 )
& op(e2,e2) != op(e2,e2)
& op(op(e2,e2),e2) = e2 )
=> op(op(e2,e2),e2) = e2 ),
inference(strip,[],[co1]) ).
fof(subgoal_13,plain,
( ( ( ( op(e0,e0) = e0
& op(e0,e0) = e0
& op(e0,e0) != e0 )
| ( op(e0,e0) = e1
& op(e1,e1) = e0
& op(e0,e1) != e0 )
| ( op(e0,e0) = e2
& op(e2,e2) = e0
& op(e0,e2) != e0 )
| ( op(e0,e0) = e3
& op(e3,e3) = e0
& op(e0,e3) != e0 )
| ( op(e0,e0) = e4
& op(e4,e4) = e0
& op(e0,e4) != e0 )
| ( op(e1,e1) = e0
& op(e0,e0) = e1
& op(e1,e0) != e1 )
| ( op(e1,e1) = e1
& op(e1,e1) = e1
& op(e1,e1) != e1 )
| ( op(e1,e1) = e2
& op(e2,e2) = e1
& op(e1,e2) != e1 )
| ( op(e1,e1) = e3
& op(e3,e3) = e1
& op(e1,e3) != e1 )
| ( op(e1,e1) = e4
& op(e4,e4) = e1
& op(e1,e4) != e1 )
| ( op(e2,e2) = e0
& op(e0,e0) = e2
& op(e2,e0) != e2 )
| ( op(e2,e2) = e1
& op(e1,e1) = e2
& op(e2,e1) != e2 )
| ( op(e2,e2) = e2
& op(e2,e2) = e2
& op(e2,e2) != e2 )
| ( op(e2,e2) = e3
& op(e3,e3) = e2
& op(e2,e3) != e2 )
| ( op(e2,e2) = e4
& op(e4,e4) = e2
& op(e2,e4) != e2 )
| ( op(e3,e3) = e0
& op(e0,e0) = e3
& op(e3,e0) != e3 )
| ( op(e3,e3) = e1
& op(e1,e1) = e3
& op(e3,e1) != e3 )
| ( op(e3,e3) = e2
& op(e2,e2) = e3
& op(e3,e2) != e3 )
| ( op(e3,e3) = e3
& op(e3,e3) = e3
& op(e3,e3) != e3 )
| ( op(e3,e3) = e4
& op(e4,e4) = e3
& op(e3,e4) != e3 )
| ( op(e4,e4) = e0
& op(e0,e0) = e4
& op(e4,e0) != e4 )
| ( op(e4,e4) = e1
& op(e1,e1) = e4
& op(e4,e1) != e4 )
| ( op(e4,e4) = e2
& op(e2,e2) = e4
& op(e4,e2) != e4 )
| ( op(e4,e4) = e3
& op(e3,e3) = e4
& op(e4,e3) != e4 )
| ( op(e4,e4) = e4
& op(e4,e4) = e4
& op(e4,e4) != e4 ) )
& ~ ( op(e0,e0) != op(e0,e0)
& op(op(e0,e0),e0) = e0
& op(op(e0,e0),e0) != e0 )
& ~ ( op(e1,e0) != op(e0,e1)
& op(op(e0,e1),e1) = e0
& op(op(e0,e1),e0) != e1 )
& ~ ( op(e2,e0) != op(e0,e2)
& op(op(e0,e2),e2) = e0
& op(op(e0,e2),e0) != e2 )
& ~ ( op(e3,e0) != op(e0,e3)
& op(op(e0,e3),e3) = e0
& op(op(e0,e3),e0) != e3 )
& ~ ( op(e4,e0) != op(e0,e4)
& op(op(e0,e4),e4) = e0
& op(op(e0,e4),e0) != e4 )
& ~ ( op(e0,e1) != op(e1,e0)
& op(op(e1,e0),e0) = e1
& op(op(e1,e0),e1) != e0 )
& ~ ( op(e1,e1) != op(e1,e1)
& op(op(e1,e1),e1) = e1
& op(op(e1,e1),e1) != e1 )
& ~ ( op(e2,e1) != op(e1,e2)
& op(op(e1,e2),e2) = e1
& op(op(e1,e2),e1) != e2 )
& ~ ( op(e3,e1) != op(e1,e3)
& op(op(e1,e3),e3) = e1
& op(op(e1,e3),e1) != e3 )
& ~ ( op(e4,e1) != op(e1,e4)
& op(op(e1,e4),e4) = e1
& op(op(e1,e4),e1) != e4 )
& ~ ( op(e0,e2) != op(e2,e0)
& op(op(e2,e0),e0) = e2
& op(op(e2,e0),e2) != e0 )
& ~ ( op(e1,e2) != op(e2,e1)
& op(op(e2,e1),e1) = e2
& op(op(e2,e1),e2) != e1 )
& ~ ( op(e2,e2) != op(e2,e2)
& op(op(e2,e2),e2) = e2
& op(op(e2,e2),e2) != e2 )
& op(e3,e2) != op(e2,e3)
& op(op(e2,e3),e3) = e2 )
=> op(op(e2,e3),e2) = e3 ),
inference(strip,[],[co1]) ).
fof(subgoal_14,plain,
( ( ( ( op(e0,e0) = e0
& op(e0,e0) = e0
& op(e0,e0) != e0 )
| ( op(e0,e0) = e1
& op(e1,e1) = e0
& op(e0,e1) != e0 )
| ( op(e0,e0) = e2
& op(e2,e2) = e0
& op(e0,e2) != e0 )
| ( op(e0,e0) = e3
& op(e3,e3) = e0
& op(e0,e3) != e0 )
| ( op(e0,e0) = e4
& op(e4,e4) = e0
& op(e0,e4) != e0 )
| ( op(e1,e1) = e0
& op(e0,e0) = e1
& op(e1,e0) != e1 )
| ( op(e1,e1) = e1
& op(e1,e1) = e1
& op(e1,e1) != e1 )
| ( op(e1,e1) = e2
& op(e2,e2) = e1
& op(e1,e2) != e1 )
| ( op(e1,e1) = e3
& op(e3,e3) = e1
& op(e1,e3) != e1 )
| ( op(e1,e1) = e4
& op(e4,e4) = e1
& op(e1,e4) != e1 )
| ( op(e2,e2) = e0
& op(e0,e0) = e2
& op(e2,e0) != e2 )
| ( op(e2,e2) = e1
& op(e1,e1) = e2
& op(e2,e1) != e2 )
| ( op(e2,e2) = e2
& op(e2,e2) = e2
& op(e2,e2) != e2 )
| ( op(e2,e2) = e3
& op(e3,e3) = e2
& op(e2,e3) != e2 )
| ( op(e2,e2) = e4
& op(e4,e4) = e2
& op(e2,e4) != e2 )
| ( op(e3,e3) = e0
& op(e0,e0) = e3
& op(e3,e0) != e3 )
| ( op(e3,e3) = e1
& op(e1,e1) = e3
& op(e3,e1) != e3 )
| ( op(e3,e3) = e2
& op(e2,e2) = e3
& op(e3,e2) != e3 )
| ( op(e3,e3) = e3
& op(e3,e3) = e3
& op(e3,e3) != e3 )
| ( op(e3,e3) = e4
& op(e4,e4) = e3
& op(e3,e4) != e3 )
| ( op(e4,e4) = e0
& op(e0,e0) = e4
& op(e4,e0) != e4 )
| ( op(e4,e4) = e1
& op(e1,e1) = e4
& op(e4,e1) != e4 )
| ( op(e4,e4) = e2
& op(e2,e2) = e4
& op(e4,e2) != e4 )
| ( op(e4,e4) = e3
& op(e3,e3) = e4
& op(e4,e3) != e4 )
| ( op(e4,e4) = e4
& op(e4,e4) = e4
& op(e4,e4) != e4 ) )
& ~ ( op(e0,e0) != op(e0,e0)
& op(op(e0,e0),e0) = e0
& op(op(e0,e0),e0) != e0 )
& ~ ( op(e1,e0) != op(e0,e1)
& op(op(e0,e1),e1) = e0
& op(op(e0,e1),e0) != e1 )
& ~ ( op(e2,e0) != op(e0,e2)
& op(op(e0,e2),e2) = e0
& op(op(e0,e2),e0) != e2 )
& ~ ( op(e3,e0) != op(e0,e3)
& op(op(e0,e3),e3) = e0
& op(op(e0,e3),e0) != e3 )
& ~ ( op(e4,e0) != op(e0,e4)
& op(op(e0,e4),e4) = e0
& op(op(e0,e4),e0) != e4 )
& ~ ( op(e0,e1) != op(e1,e0)
& op(op(e1,e0),e0) = e1
& op(op(e1,e0),e1) != e0 )
& ~ ( op(e1,e1) != op(e1,e1)
& op(op(e1,e1),e1) = e1
& op(op(e1,e1),e1) != e1 )
& ~ ( op(e2,e1) != op(e1,e2)
& op(op(e1,e2),e2) = e1
& op(op(e1,e2),e1) != e2 )
& ~ ( op(e3,e1) != op(e1,e3)
& op(op(e1,e3),e3) = e1
& op(op(e1,e3),e1) != e3 )
& ~ ( op(e4,e1) != op(e1,e4)
& op(op(e1,e4),e4) = e1
& op(op(e1,e4),e1) != e4 )
& ~ ( op(e0,e2) != op(e2,e0)
& op(op(e2,e0),e0) = e2
& op(op(e2,e0),e2) != e0 )
& ~ ( op(e1,e2) != op(e2,e1)
& op(op(e2,e1),e1) = e2
& op(op(e2,e1),e2) != e1 )
& ~ ( op(e2,e2) != op(e2,e2)
& op(op(e2,e2),e2) = e2
& op(op(e2,e2),e2) != e2 )
& ~ ( op(e3,e2) != op(e2,e3)
& op(op(e2,e3),e3) = e2
& op(op(e2,e3),e2) != e3 )
& op(e4,e2) != op(e2,e4)
& op(op(e2,e4),e4) = e2 )
=> op(op(e2,e4),e2) = e4 ),
inference(strip,[],[co1]) ).
fof(subgoal_15,plain,
( ( ( ( op(e0,e0) = e0
& op(e0,e0) = e0
& op(e0,e0) != e0 )
| ( op(e0,e0) = e1
& op(e1,e1) = e0
& op(e0,e1) != e0 )
| ( op(e0,e0) = e2
& op(e2,e2) = e0
& op(e0,e2) != e0 )
| ( op(e0,e0) = e3
& op(e3,e3) = e0
& op(e0,e3) != e0 )
| ( op(e0,e0) = e4
& op(e4,e4) = e0
& op(e0,e4) != e0 )
| ( op(e1,e1) = e0
& op(e0,e0) = e1
& op(e1,e0) != e1 )
| ( op(e1,e1) = e1
& op(e1,e1) = e1
& op(e1,e1) != e1 )
| ( op(e1,e1) = e2
& op(e2,e2) = e1
& op(e1,e2) != e1 )
| ( op(e1,e1) = e3
& op(e3,e3) = e1
& op(e1,e3) != e1 )
| ( op(e1,e1) = e4
& op(e4,e4) = e1
& op(e1,e4) != e1 )
| ( op(e2,e2) = e0
& op(e0,e0) = e2
& op(e2,e0) != e2 )
| ( op(e2,e2) = e1
& op(e1,e1) = e2
& op(e2,e1) != e2 )
| ( op(e2,e2) = e2
& op(e2,e2) = e2
& op(e2,e2) != e2 )
| ( op(e2,e2) = e3
& op(e3,e3) = e2
& op(e2,e3) != e2 )
| ( op(e2,e2) = e4
& op(e4,e4) = e2
& op(e2,e4) != e2 )
| ( op(e3,e3) = e0
& op(e0,e0) = e3
& op(e3,e0) != e3 )
| ( op(e3,e3) = e1
& op(e1,e1) = e3
& op(e3,e1) != e3 )
| ( op(e3,e3) = e2
& op(e2,e2) = e3
& op(e3,e2) != e3 )
| ( op(e3,e3) = e3
& op(e3,e3) = e3
& op(e3,e3) != e3 )
| ( op(e3,e3) = e4
& op(e4,e4) = e3
& op(e3,e4) != e3 )
| ( op(e4,e4) = e0
& op(e0,e0) = e4
& op(e4,e0) != e4 )
| ( op(e4,e4) = e1
& op(e1,e1) = e4
& op(e4,e1) != e4 )
| ( op(e4,e4) = e2
& op(e2,e2) = e4
& op(e4,e2) != e4 )
| ( op(e4,e4) = e3
& op(e3,e3) = e4
& op(e4,e3) != e4 )
| ( op(e4,e4) = e4
& op(e4,e4) = e4
& op(e4,e4) != e4 ) )
& ~ ( op(e0,e0) != op(e0,e0)
& op(op(e0,e0),e0) = e0
& op(op(e0,e0),e0) != e0 )
& ~ ( op(e1,e0) != op(e0,e1)
& op(op(e0,e1),e1) = e0
& op(op(e0,e1),e0) != e1 )
& ~ ( op(e2,e0) != op(e0,e2)
& op(op(e0,e2),e2) = e0
& op(op(e0,e2),e0) != e2 )
& ~ ( op(e3,e0) != op(e0,e3)
& op(op(e0,e3),e3) = e0
& op(op(e0,e3),e0) != e3 )
& ~ ( op(e4,e0) != op(e0,e4)
& op(op(e0,e4),e4) = e0
& op(op(e0,e4),e0) != e4 )
& ~ ( op(e0,e1) != op(e1,e0)
& op(op(e1,e0),e0) = e1
& op(op(e1,e0),e1) != e0 )
& ~ ( op(e1,e1) != op(e1,e1)
& op(op(e1,e1),e1) = e1
& op(op(e1,e1),e1) != e1 )
& ~ ( op(e2,e1) != op(e1,e2)
& op(op(e1,e2),e2) = e1
& op(op(e1,e2),e1) != e2 )
& ~ ( op(e3,e1) != op(e1,e3)
& op(op(e1,e3),e3) = e1
& op(op(e1,e3),e1) != e3 )
& ~ ( op(e4,e1) != op(e1,e4)
& op(op(e1,e4),e4) = e1
& op(op(e1,e4),e1) != e4 )
& ~ ( op(e0,e2) != op(e2,e0)
& op(op(e2,e0),e0) = e2
& op(op(e2,e0),e2) != e0 )
& ~ ( op(e1,e2) != op(e2,e1)
& op(op(e2,e1),e1) = e2
& op(op(e2,e1),e2) != e1 )
& ~ ( op(e2,e2) != op(e2,e2)
& op(op(e2,e2),e2) = e2
& op(op(e2,e2),e2) != e2 )
& ~ ( op(e3,e2) != op(e2,e3)
& op(op(e2,e3),e3) = e2
& op(op(e2,e3),e2) != e3 )
& ~ ( op(e4,e2) != op(e2,e4)
& op(op(e2,e4),e4) = e2
& op(op(e2,e4),e2) != e4 )
& op(e0,e3) != op(e3,e0)
& op(op(e3,e0),e0) = e3 )
=> op(op(e3,e0),e3) = e0 ),
inference(strip,[],[co1]) ).
fof(subgoal_16,plain,
( ( ( ( op(e0,e0) = e0
& op(e0,e0) = e0
& op(e0,e0) != e0 )
| ( op(e0,e0) = e1
& op(e1,e1) = e0
& op(e0,e1) != e0 )
| ( op(e0,e0) = e2
& op(e2,e2) = e0
& op(e0,e2) != e0 )
| ( op(e0,e0) = e3
& op(e3,e3) = e0
& op(e0,e3) != e0 )
| ( op(e0,e0) = e4
& op(e4,e4) = e0
& op(e0,e4) != e0 )
| ( op(e1,e1) = e0
& op(e0,e0) = e1
& op(e1,e0) != e1 )
| ( op(e1,e1) = e1
& op(e1,e1) = e1
& op(e1,e1) != e1 )
| ( op(e1,e1) = e2
& op(e2,e2) = e1
& op(e1,e2) != e1 )
| ( op(e1,e1) = e3
& op(e3,e3) = e1
& op(e1,e3) != e1 )
| ( op(e1,e1) = e4
& op(e4,e4) = e1
& op(e1,e4) != e1 )
| ( op(e2,e2) = e0
& op(e0,e0) = e2
& op(e2,e0) != e2 )
| ( op(e2,e2) = e1
& op(e1,e1) = e2
& op(e2,e1) != e2 )
| ( op(e2,e2) = e2
& op(e2,e2) = e2
& op(e2,e2) != e2 )
| ( op(e2,e2) = e3
& op(e3,e3) = e2
& op(e2,e3) != e2 )
| ( op(e2,e2) = e4
& op(e4,e4) = e2
& op(e2,e4) != e2 )
| ( op(e3,e3) = e0
& op(e0,e0) = e3
& op(e3,e0) != e3 )
| ( op(e3,e3) = e1
& op(e1,e1) = e3
& op(e3,e1) != e3 )
| ( op(e3,e3) = e2
& op(e2,e2) = e3
& op(e3,e2) != e3 )
| ( op(e3,e3) = e3
& op(e3,e3) = e3
& op(e3,e3) != e3 )
| ( op(e3,e3) = e4
& op(e4,e4) = e3
& op(e3,e4) != e3 )
| ( op(e4,e4) = e0
& op(e0,e0) = e4
& op(e4,e0) != e4 )
| ( op(e4,e4) = e1
& op(e1,e1) = e4
& op(e4,e1) != e4 )
| ( op(e4,e4) = e2
& op(e2,e2) = e4
& op(e4,e2) != e4 )
| ( op(e4,e4) = e3
& op(e3,e3) = e4
& op(e4,e3) != e4 )
| ( op(e4,e4) = e4
& op(e4,e4) = e4
& op(e4,e4) != e4 ) )
& ~ ( op(e0,e0) != op(e0,e0)
& op(op(e0,e0),e0) = e0
& op(op(e0,e0),e0) != e0 )
& ~ ( op(e1,e0) != op(e0,e1)
& op(op(e0,e1),e1) = e0
& op(op(e0,e1),e0) != e1 )
& ~ ( op(e2,e0) != op(e0,e2)
& op(op(e0,e2),e2) = e0
& op(op(e0,e2),e0) != e2 )
& ~ ( op(e3,e0) != op(e0,e3)
& op(op(e0,e3),e3) = e0
& op(op(e0,e3),e0) != e3 )
& ~ ( op(e4,e0) != op(e0,e4)
& op(op(e0,e4),e4) = e0
& op(op(e0,e4),e0) != e4 )
& ~ ( op(e0,e1) != op(e1,e0)
& op(op(e1,e0),e0) = e1
& op(op(e1,e0),e1) != e0 )
& ~ ( op(e1,e1) != op(e1,e1)
& op(op(e1,e1),e1) = e1
& op(op(e1,e1),e1) != e1 )
& ~ ( op(e2,e1) != op(e1,e2)
& op(op(e1,e2),e2) = e1
& op(op(e1,e2),e1) != e2 )
& ~ ( op(e3,e1) != op(e1,e3)
& op(op(e1,e3),e3) = e1
& op(op(e1,e3),e1) != e3 )
& ~ ( op(e4,e1) != op(e1,e4)
& op(op(e1,e4),e4) = e1
& op(op(e1,e4),e1) != e4 )
& ~ ( op(e0,e2) != op(e2,e0)
& op(op(e2,e0),e0) = e2
& op(op(e2,e0),e2) != e0 )
& ~ ( op(e1,e2) != op(e2,e1)
& op(op(e2,e1),e1) = e2
& op(op(e2,e1),e2) != e1 )
& ~ ( op(e2,e2) != op(e2,e2)
& op(op(e2,e2),e2) = e2
& op(op(e2,e2),e2) != e2 )
& ~ ( op(e3,e2) != op(e2,e3)
& op(op(e2,e3),e3) = e2
& op(op(e2,e3),e2) != e3 )
& ~ ( op(e4,e2) != op(e2,e4)
& op(op(e2,e4),e4) = e2
& op(op(e2,e4),e2) != e4 )
& ~ ( op(e0,e3) != op(e3,e0)
& op(op(e3,e0),e0) = e3
& op(op(e3,e0),e3) != e0 )
& op(e1,e3) != op(e3,e1)
& op(op(e3,e1),e1) = e3 )
=> op(op(e3,e1),e3) = e1 ),
inference(strip,[],[co1]) ).
fof(subgoal_17,plain,
( ( ( ( op(e0,e0) = e0
& op(e0,e0) = e0
& op(e0,e0) != e0 )
| ( op(e0,e0) = e1
& op(e1,e1) = e0
& op(e0,e1) != e0 )
| ( op(e0,e0) = e2
& op(e2,e2) = e0
& op(e0,e2) != e0 )
| ( op(e0,e0) = e3
& op(e3,e3) = e0
& op(e0,e3) != e0 )
| ( op(e0,e0) = e4
& op(e4,e4) = e0
& op(e0,e4) != e0 )
| ( op(e1,e1) = e0
& op(e0,e0) = e1
& op(e1,e0) != e1 )
| ( op(e1,e1) = e1
& op(e1,e1) = e1
& op(e1,e1) != e1 )
| ( op(e1,e1) = e2
& op(e2,e2) = e1
& op(e1,e2) != e1 )
| ( op(e1,e1) = e3
& op(e3,e3) = e1
& op(e1,e3) != e1 )
| ( op(e1,e1) = e4
& op(e4,e4) = e1
& op(e1,e4) != e1 )
| ( op(e2,e2) = e0
& op(e0,e0) = e2
& op(e2,e0) != e2 )
| ( op(e2,e2) = e1
& op(e1,e1) = e2
& op(e2,e1) != e2 )
| ( op(e2,e2) = e2
& op(e2,e2) = e2
& op(e2,e2) != e2 )
| ( op(e2,e2) = e3
& op(e3,e3) = e2
& op(e2,e3) != e2 )
| ( op(e2,e2) = e4
& op(e4,e4) = e2
& op(e2,e4) != e2 )
| ( op(e3,e3) = e0
& op(e0,e0) = e3
& op(e3,e0) != e3 )
| ( op(e3,e3) = e1
& op(e1,e1) = e3
& op(e3,e1) != e3 )
| ( op(e3,e3) = e2
& op(e2,e2) = e3
& op(e3,e2) != e3 )
| ( op(e3,e3) = e3
& op(e3,e3) = e3
& op(e3,e3) != e3 )
| ( op(e3,e3) = e4
& op(e4,e4) = e3
& op(e3,e4) != e3 )
| ( op(e4,e4) = e0
& op(e0,e0) = e4
& op(e4,e0) != e4 )
| ( op(e4,e4) = e1
& op(e1,e1) = e4
& op(e4,e1) != e4 )
| ( op(e4,e4) = e2
& op(e2,e2) = e4
& op(e4,e2) != e4 )
| ( op(e4,e4) = e3
& op(e3,e3) = e4
& op(e4,e3) != e4 )
| ( op(e4,e4) = e4
& op(e4,e4) = e4
& op(e4,e4) != e4 ) )
& ~ ( op(e0,e0) != op(e0,e0)
& op(op(e0,e0),e0) = e0
& op(op(e0,e0),e0) != e0 )
& ~ ( op(e1,e0) != op(e0,e1)
& op(op(e0,e1),e1) = e0
& op(op(e0,e1),e0) != e1 )
& ~ ( op(e2,e0) != op(e0,e2)
& op(op(e0,e2),e2) = e0
& op(op(e0,e2),e0) != e2 )
& ~ ( op(e3,e0) != op(e0,e3)
& op(op(e0,e3),e3) = e0
& op(op(e0,e3),e0) != e3 )
& ~ ( op(e4,e0) != op(e0,e4)
& op(op(e0,e4),e4) = e0
& op(op(e0,e4),e0) != e4 )
& ~ ( op(e0,e1) != op(e1,e0)
& op(op(e1,e0),e0) = e1
& op(op(e1,e0),e1) != e0 )
& ~ ( op(e1,e1) != op(e1,e1)
& op(op(e1,e1),e1) = e1
& op(op(e1,e1),e1) != e1 )
& ~ ( op(e2,e1) != op(e1,e2)
& op(op(e1,e2),e2) = e1
& op(op(e1,e2),e1) != e2 )
& ~ ( op(e3,e1) != op(e1,e3)
& op(op(e1,e3),e3) = e1
& op(op(e1,e3),e1) != e3 )
& ~ ( op(e4,e1) != op(e1,e4)
& op(op(e1,e4),e4) = e1
& op(op(e1,e4),e1) != e4 )
& ~ ( op(e0,e2) != op(e2,e0)
& op(op(e2,e0),e0) = e2
& op(op(e2,e0),e2) != e0 )
& ~ ( op(e1,e2) != op(e2,e1)
& op(op(e2,e1),e1) = e2
& op(op(e2,e1),e2) != e1 )
& ~ ( op(e2,e2) != op(e2,e2)
& op(op(e2,e2),e2) = e2
& op(op(e2,e2),e2) != e2 )
& ~ ( op(e3,e2) != op(e2,e3)
& op(op(e2,e3),e3) = e2
& op(op(e2,e3),e2) != e3 )
& ~ ( op(e4,e2) != op(e2,e4)
& op(op(e2,e4),e4) = e2
& op(op(e2,e4),e2) != e4 )
& ~ ( op(e0,e3) != op(e3,e0)
& op(op(e3,e0),e0) = e3
& op(op(e3,e0),e3) != e0 )
& ~ ( op(e1,e3) != op(e3,e1)
& op(op(e3,e1),e1) = e3
& op(op(e3,e1),e3) != e1 )
& op(e2,e3) != op(e3,e2)
& op(op(e3,e2),e2) = e3 )
=> op(op(e3,e2),e3) = e2 ),
inference(strip,[],[co1]) ).
fof(subgoal_18,plain,
( ( ( ( op(e0,e0) = e0
& op(e0,e0) = e0
& op(e0,e0) != e0 )
| ( op(e0,e0) = e1
& op(e1,e1) = e0
& op(e0,e1) != e0 )
| ( op(e0,e0) = e2
& op(e2,e2) = e0
& op(e0,e2) != e0 )
| ( op(e0,e0) = e3
& op(e3,e3) = e0
& op(e0,e3) != e0 )
| ( op(e0,e0) = e4
& op(e4,e4) = e0
& op(e0,e4) != e0 )
| ( op(e1,e1) = e0
& op(e0,e0) = e1
& op(e1,e0) != e1 )
| ( op(e1,e1) = e1
& op(e1,e1) = e1
& op(e1,e1) != e1 )
| ( op(e1,e1) = e2
& op(e2,e2) = e1
& op(e1,e2) != e1 )
| ( op(e1,e1) = e3
& op(e3,e3) = e1
& op(e1,e3) != e1 )
| ( op(e1,e1) = e4
& op(e4,e4) = e1
& op(e1,e4) != e1 )
| ( op(e2,e2) = e0
& op(e0,e0) = e2
& op(e2,e0) != e2 )
| ( op(e2,e2) = e1
& op(e1,e1) = e2
& op(e2,e1) != e2 )
| ( op(e2,e2) = e2
& op(e2,e2) = e2
& op(e2,e2) != e2 )
| ( op(e2,e2) = e3
& op(e3,e3) = e2
& op(e2,e3) != e2 )
| ( op(e2,e2) = e4
& op(e4,e4) = e2
& op(e2,e4) != e2 )
| ( op(e3,e3) = e0
& op(e0,e0) = e3
& op(e3,e0) != e3 )
| ( op(e3,e3) = e1
& op(e1,e1) = e3
& op(e3,e1) != e3 )
| ( op(e3,e3) = e2
& op(e2,e2) = e3
& op(e3,e2) != e3 )
| ( op(e3,e3) = e3
& op(e3,e3) = e3
& op(e3,e3) != e3 )
| ( op(e3,e3) = e4
& op(e4,e4) = e3
& op(e3,e4) != e3 )
| ( op(e4,e4) = e0
& op(e0,e0) = e4
& op(e4,e0) != e4 )
| ( op(e4,e4) = e1
& op(e1,e1) = e4
& op(e4,e1) != e4 )
| ( op(e4,e4) = e2
& op(e2,e2) = e4
& op(e4,e2) != e4 )
| ( op(e4,e4) = e3
& op(e3,e3) = e4
& op(e4,e3) != e4 )
| ( op(e4,e4) = e4
& op(e4,e4) = e4
& op(e4,e4) != e4 ) )
& ~ ( op(e0,e0) != op(e0,e0)
& op(op(e0,e0),e0) = e0
& op(op(e0,e0),e0) != e0 )
& ~ ( op(e1,e0) != op(e0,e1)
& op(op(e0,e1),e1) = e0
& op(op(e0,e1),e0) != e1 )
& ~ ( op(e2,e0) != op(e0,e2)
& op(op(e0,e2),e2) = e0
& op(op(e0,e2),e0) != e2 )
& ~ ( op(e3,e0) != op(e0,e3)
& op(op(e0,e3),e3) = e0
& op(op(e0,e3),e0) != e3 )
& ~ ( op(e4,e0) != op(e0,e4)
& op(op(e0,e4),e4) = e0
& op(op(e0,e4),e0) != e4 )
& ~ ( op(e0,e1) != op(e1,e0)
& op(op(e1,e0),e0) = e1
& op(op(e1,e0),e1) != e0 )
& ~ ( op(e1,e1) != op(e1,e1)
& op(op(e1,e1),e1) = e1
& op(op(e1,e1),e1) != e1 )
& ~ ( op(e2,e1) != op(e1,e2)
& op(op(e1,e2),e2) = e1
& op(op(e1,e2),e1) != e2 )
& ~ ( op(e3,e1) != op(e1,e3)
& op(op(e1,e3),e3) = e1
& op(op(e1,e3),e1) != e3 )
& ~ ( op(e4,e1) != op(e1,e4)
& op(op(e1,e4),e4) = e1
& op(op(e1,e4),e1) != e4 )
& ~ ( op(e0,e2) != op(e2,e0)
& op(op(e2,e0),e0) = e2
& op(op(e2,e0),e2) != e0 )
& ~ ( op(e1,e2) != op(e2,e1)
& op(op(e2,e1),e1) = e2
& op(op(e2,e1),e2) != e1 )
& ~ ( op(e2,e2) != op(e2,e2)
& op(op(e2,e2),e2) = e2
& op(op(e2,e2),e2) != e2 )
& ~ ( op(e3,e2) != op(e2,e3)
& op(op(e2,e3),e3) = e2
& op(op(e2,e3),e2) != e3 )
& ~ ( op(e4,e2) != op(e2,e4)
& op(op(e2,e4),e4) = e2
& op(op(e2,e4),e2) != e4 )
& ~ ( op(e0,e3) != op(e3,e0)
& op(op(e3,e0),e0) = e3
& op(op(e3,e0),e3) != e0 )
& ~ ( op(e1,e3) != op(e3,e1)
& op(op(e3,e1),e1) = e3
& op(op(e3,e1),e3) != e1 )
& ~ ( op(e2,e3) != op(e3,e2)
& op(op(e3,e2),e2) = e3
& op(op(e3,e2),e3) != e2 )
& op(e3,e3) != op(e3,e3)
& op(op(e3,e3),e3) = e3 )
=> op(op(e3,e3),e3) = e3 ),
inference(strip,[],[co1]) ).
fof(subgoal_19,plain,
( ( ( ( op(e0,e0) = e0
& op(e0,e0) = e0
& op(e0,e0) != e0 )
| ( op(e0,e0) = e1
& op(e1,e1) = e0
& op(e0,e1) != e0 )
| ( op(e0,e0) = e2
& op(e2,e2) = e0
& op(e0,e2) != e0 )
| ( op(e0,e0) = e3
& op(e3,e3) = e0
& op(e0,e3) != e0 )
| ( op(e0,e0) = e4
& op(e4,e4) = e0
& op(e0,e4) != e0 )
| ( op(e1,e1) = e0
& op(e0,e0) = e1
& op(e1,e0) != e1 )
| ( op(e1,e1) = e1
& op(e1,e1) = e1
& op(e1,e1) != e1 )
| ( op(e1,e1) = e2
& op(e2,e2) = e1
& op(e1,e2) != e1 )
| ( op(e1,e1) = e3
& op(e3,e3) = e1
& op(e1,e3) != e1 )
| ( op(e1,e1) = e4
& op(e4,e4) = e1
& op(e1,e4) != e1 )
| ( op(e2,e2) = e0
& op(e0,e0) = e2
& op(e2,e0) != e2 )
| ( op(e2,e2) = e1
& op(e1,e1) = e2
& op(e2,e1) != e2 )
| ( op(e2,e2) = e2
& op(e2,e2) = e2
& op(e2,e2) != e2 )
| ( op(e2,e2) = e3
& op(e3,e3) = e2
& op(e2,e3) != e2 )
| ( op(e2,e2) = e4
& op(e4,e4) = e2
& op(e2,e4) != e2 )
| ( op(e3,e3) = e0
& op(e0,e0) = e3
& op(e3,e0) != e3 )
| ( op(e3,e3) = e1
& op(e1,e1) = e3
& op(e3,e1) != e3 )
| ( op(e3,e3) = e2
& op(e2,e2) = e3
& op(e3,e2) != e3 )
| ( op(e3,e3) = e3
& op(e3,e3) = e3
& op(e3,e3) != e3 )
| ( op(e3,e3) = e4
& op(e4,e4) = e3
& op(e3,e4) != e3 )
| ( op(e4,e4) = e0
& op(e0,e0) = e4
& op(e4,e0) != e4 )
| ( op(e4,e4) = e1
& op(e1,e1) = e4
& op(e4,e1) != e4 )
| ( op(e4,e4) = e2
& op(e2,e2) = e4
& op(e4,e2) != e4 )
| ( op(e4,e4) = e3
& op(e3,e3) = e4
& op(e4,e3) != e4 )
| ( op(e4,e4) = e4
& op(e4,e4) = e4
& op(e4,e4) != e4 ) )
& ~ ( op(e0,e0) != op(e0,e0)
& op(op(e0,e0),e0) = e0
& op(op(e0,e0),e0) != e0 )
& ~ ( op(e1,e0) != op(e0,e1)
& op(op(e0,e1),e1) = e0
& op(op(e0,e1),e0) != e1 )
& ~ ( op(e2,e0) != op(e0,e2)
& op(op(e0,e2),e2) = e0
& op(op(e0,e2),e0) != e2 )
& ~ ( op(e3,e0) != op(e0,e3)
& op(op(e0,e3),e3) = e0
& op(op(e0,e3),e0) != e3 )
& ~ ( op(e4,e0) != op(e0,e4)
& op(op(e0,e4),e4) = e0
& op(op(e0,e4),e0) != e4 )
& ~ ( op(e0,e1) != op(e1,e0)
& op(op(e1,e0),e0) = e1
& op(op(e1,e0),e1) != e0 )
& ~ ( op(e1,e1) != op(e1,e1)
& op(op(e1,e1),e1) = e1
& op(op(e1,e1),e1) != e1 )
& ~ ( op(e2,e1) != op(e1,e2)
& op(op(e1,e2),e2) = e1
& op(op(e1,e2),e1) != e2 )
& ~ ( op(e3,e1) != op(e1,e3)
& op(op(e1,e3),e3) = e1
& op(op(e1,e3),e1) != e3 )
& ~ ( op(e4,e1) != op(e1,e4)
& op(op(e1,e4),e4) = e1
& op(op(e1,e4),e1) != e4 )
& ~ ( op(e0,e2) != op(e2,e0)
& op(op(e2,e0),e0) = e2
& op(op(e2,e0),e2) != e0 )
& ~ ( op(e1,e2) != op(e2,e1)
& op(op(e2,e1),e1) = e2
& op(op(e2,e1),e2) != e1 )
& ~ ( op(e2,e2) != op(e2,e2)
& op(op(e2,e2),e2) = e2
& op(op(e2,e2),e2) != e2 )
& ~ ( op(e3,e2) != op(e2,e3)
& op(op(e2,e3),e3) = e2
& op(op(e2,e3),e2) != e3 )
& ~ ( op(e4,e2) != op(e2,e4)
& op(op(e2,e4),e4) = e2
& op(op(e2,e4),e2) != e4 )
& ~ ( op(e0,e3) != op(e3,e0)
& op(op(e3,e0),e0) = e3
& op(op(e3,e0),e3) != e0 )
& ~ ( op(e1,e3) != op(e3,e1)
& op(op(e3,e1),e1) = e3
& op(op(e3,e1),e3) != e1 )
& ~ ( op(e2,e3) != op(e3,e2)
& op(op(e3,e2),e2) = e3
& op(op(e3,e2),e3) != e2 )
& ~ ( op(e3,e3) != op(e3,e3)
& op(op(e3,e3),e3) = e3
& op(op(e3,e3),e3) != e3 )
& op(e4,e3) != op(e3,e4)
& op(op(e3,e4),e4) = e3 )
=> op(op(e3,e4),e3) = e4 ),
inference(strip,[],[co1]) ).
fof(subgoal_20,plain,
( ( ( ( op(e0,e0) = e0
& op(e0,e0) = e0
& op(e0,e0) != e0 )
| ( op(e0,e0) = e1
& op(e1,e1) = e0
& op(e0,e1) != e0 )
| ( op(e0,e0) = e2
& op(e2,e2) = e0
& op(e0,e2) != e0 )
| ( op(e0,e0) = e3
& op(e3,e3) = e0
& op(e0,e3) != e0 )
| ( op(e0,e0) = e4
& op(e4,e4) = e0
& op(e0,e4) != e0 )
| ( op(e1,e1) = e0
& op(e0,e0) = e1
& op(e1,e0) != e1 )
| ( op(e1,e1) = e1
& op(e1,e1) = e1
& op(e1,e1) != e1 )
| ( op(e1,e1) = e2
& op(e2,e2) = e1
& op(e1,e2) != e1 )
| ( op(e1,e1) = e3
& op(e3,e3) = e1
& op(e1,e3) != e1 )
| ( op(e1,e1) = e4
& op(e4,e4) = e1
& op(e1,e4) != e1 )
| ( op(e2,e2) = e0
& op(e0,e0) = e2
& op(e2,e0) != e2 )
| ( op(e2,e2) = e1
& op(e1,e1) = e2
& op(e2,e1) != e2 )
| ( op(e2,e2) = e2
& op(e2,e2) = e2
& op(e2,e2) != e2 )
| ( op(e2,e2) = e3
& op(e3,e3) = e2
& op(e2,e3) != e2 )
| ( op(e2,e2) = e4
& op(e4,e4) = e2
& op(e2,e4) != e2 )
| ( op(e3,e3) = e0
& op(e0,e0) = e3
& op(e3,e0) != e3 )
| ( op(e3,e3) = e1
& op(e1,e1) = e3
& op(e3,e1) != e3 )
| ( op(e3,e3) = e2
& op(e2,e2) = e3
& op(e3,e2) != e3 )
| ( op(e3,e3) = e3
& op(e3,e3) = e3
& op(e3,e3) != e3 )
| ( op(e3,e3) = e4
& op(e4,e4) = e3
& op(e3,e4) != e3 )
| ( op(e4,e4) = e0
& op(e0,e0) = e4
& op(e4,e0) != e4 )
| ( op(e4,e4) = e1
& op(e1,e1) = e4
& op(e4,e1) != e4 )
| ( op(e4,e4) = e2
& op(e2,e2) = e4
& op(e4,e2) != e4 )
| ( op(e4,e4) = e3
& op(e3,e3) = e4
& op(e4,e3) != e4 )
| ( op(e4,e4) = e4
& op(e4,e4) = e4
& op(e4,e4) != e4 ) )
& ~ ( op(e0,e0) != op(e0,e0)
& op(op(e0,e0),e0) = e0
& op(op(e0,e0),e0) != e0 )
& ~ ( op(e1,e0) != op(e0,e1)
& op(op(e0,e1),e1) = e0
& op(op(e0,e1),e0) != e1 )
& ~ ( op(e2,e0) != op(e0,e2)
& op(op(e0,e2),e2) = e0
& op(op(e0,e2),e0) != e2 )
& ~ ( op(e3,e0) != op(e0,e3)
& op(op(e0,e3),e3) = e0
& op(op(e0,e3),e0) != e3 )
& ~ ( op(e4,e0) != op(e0,e4)
& op(op(e0,e4),e4) = e0
& op(op(e0,e4),e0) != e4 )
& ~ ( op(e0,e1) != op(e1,e0)
& op(op(e1,e0),e0) = e1
& op(op(e1,e0),e1) != e0 )
& ~ ( op(e1,e1) != op(e1,e1)
& op(op(e1,e1),e1) = e1
& op(op(e1,e1),e1) != e1 )
& ~ ( op(e2,e1) != op(e1,e2)
& op(op(e1,e2),e2) = e1
& op(op(e1,e2),e1) != e2 )
& ~ ( op(e3,e1) != op(e1,e3)
& op(op(e1,e3),e3) = e1
& op(op(e1,e3),e1) != e3 )
& ~ ( op(e4,e1) != op(e1,e4)
& op(op(e1,e4),e4) = e1
& op(op(e1,e4),e1) != e4 )
& ~ ( op(e0,e2) != op(e2,e0)
& op(op(e2,e0),e0) = e2
& op(op(e2,e0),e2) != e0 )
& ~ ( op(e1,e2) != op(e2,e1)
& op(op(e2,e1),e1) = e2
& op(op(e2,e1),e2) != e1 )
& ~ ( op(e2,e2) != op(e2,e2)
& op(op(e2,e2),e2) = e2
& op(op(e2,e2),e2) != e2 )
& ~ ( op(e3,e2) != op(e2,e3)
& op(op(e2,e3),e3) = e2
& op(op(e2,e3),e2) != e3 )
& ~ ( op(e4,e2) != op(e2,e4)
& op(op(e2,e4),e4) = e2
& op(op(e2,e4),e2) != e4 )
& ~ ( op(e0,e3) != op(e3,e0)
& op(op(e3,e0),e0) = e3
& op(op(e3,e0),e3) != e0 )
& ~ ( op(e1,e3) != op(e3,e1)
& op(op(e3,e1),e1) = e3
& op(op(e3,e1),e3) != e1 )
& ~ ( op(e2,e3) != op(e3,e2)
& op(op(e3,e2),e2) = e3
& op(op(e3,e2),e3) != e2 )
& ~ ( op(e3,e3) != op(e3,e3)
& op(op(e3,e3),e3) = e3
& op(op(e3,e3),e3) != e3 )
& ~ ( op(e4,e3) != op(e3,e4)
& op(op(e3,e4),e4) = e3
& op(op(e3,e4),e3) != e4 )
& op(e0,e4) != op(e4,e0)
& op(op(e4,e0),e0) = e4 )
=> op(op(e4,e0),e4) = e0 ),
inference(strip,[],[co1]) ).
fof(subgoal_21,plain,
( ( ( ( op(e0,e0) = e0
& op(e0,e0) = e0
& op(e0,e0) != e0 )
| ( op(e0,e0) = e1
& op(e1,e1) = e0
& op(e0,e1) != e0 )
| ( op(e0,e0) = e2
& op(e2,e2) = e0
& op(e0,e2) != e0 )
| ( op(e0,e0) = e3
& op(e3,e3) = e0
& op(e0,e3) != e0 )
| ( op(e0,e0) = e4
& op(e4,e4) = e0
& op(e0,e4) != e0 )
| ( op(e1,e1) = e0
& op(e0,e0) = e1
& op(e1,e0) != e1 )
| ( op(e1,e1) = e1
& op(e1,e1) = e1
& op(e1,e1) != e1 )
| ( op(e1,e1) = e2
& op(e2,e2) = e1
& op(e1,e2) != e1 )
| ( op(e1,e1) = e3
& op(e3,e3) = e1
& op(e1,e3) != e1 )
| ( op(e1,e1) = e4
& op(e4,e4) = e1
& op(e1,e4) != e1 )
| ( op(e2,e2) = e0
& op(e0,e0) = e2
& op(e2,e0) != e2 )
| ( op(e2,e2) = e1
& op(e1,e1) = e2
& op(e2,e1) != e2 )
| ( op(e2,e2) = e2
& op(e2,e2) = e2
& op(e2,e2) != e2 )
| ( op(e2,e2) = e3
& op(e3,e3) = e2
& op(e2,e3) != e2 )
| ( op(e2,e2) = e4
& op(e4,e4) = e2
& op(e2,e4) != e2 )
| ( op(e3,e3) = e0
& op(e0,e0) = e3
& op(e3,e0) != e3 )
| ( op(e3,e3) = e1
& op(e1,e1) = e3
& op(e3,e1) != e3 )
| ( op(e3,e3) = e2
& op(e2,e2) = e3
& op(e3,e2) != e3 )
| ( op(e3,e3) = e3
& op(e3,e3) = e3
& op(e3,e3) != e3 )
| ( op(e3,e3) = e4
& op(e4,e4) = e3
& op(e3,e4) != e3 )
| ( op(e4,e4) = e0
& op(e0,e0) = e4
& op(e4,e0) != e4 )
| ( op(e4,e4) = e1
& op(e1,e1) = e4
& op(e4,e1) != e4 )
| ( op(e4,e4) = e2
& op(e2,e2) = e4
& op(e4,e2) != e4 )
| ( op(e4,e4) = e3
& op(e3,e3) = e4
& op(e4,e3) != e4 )
| ( op(e4,e4) = e4
& op(e4,e4) = e4
& op(e4,e4) != e4 ) )
& ~ ( op(e0,e0) != op(e0,e0)
& op(op(e0,e0),e0) = e0
& op(op(e0,e0),e0) != e0 )
& ~ ( op(e1,e0) != op(e0,e1)
& op(op(e0,e1),e1) = e0
& op(op(e0,e1),e0) != e1 )
& ~ ( op(e2,e0) != op(e0,e2)
& op(op(e0,e2),e2) = e0
& op(op(e0,e2),e0) != e2 )
& ~ ( op(e3,e0) != op(e0,e3)
& op(op(e0,e3),e3) = e0
& op(op(e0,e3),e0) != e3 )
& ~ ( op(e4,e0) != op(e0,e4)
& op(op(e0,e4),e4) = e0
& op(op(e0,e4),e0) != e4 )
& ~ ( op(e0,e1) != op(e1,e0)
& op(op(e1,e0),e0) = e1
& op(op(e1,e0),e1) != e0 )
& ~ ( op(e1,e1) != op(e1,e1)
& op(op(e1,e1),e1) = e1
& op(op(e1,e1),e1) != e1 )
& ~ ( op(e2,e1) != op(e1,e2)
& op(op(e1,e2),e2) = e1
& op(op(e1,e2),e1) != e2 )
& ~ ( op(e3,e1) != op(e1,e3)
& op(op(e1,e3),e3) = e1
& op(op(e1,e3),e1) != e3 )
& ~ ( op(e4,e1) != op(e1,e4)
& op(op(e1,e4),e4) = e1
& op(op(e1,e4),e1) != e4 )
& ~ ( op(e0,e2) != op(e2,e0)
& op(op(e2,e0),e0) = e2
& op(op(e2,e0),e2) != e0 )
& ~ ( op(e1,e2) != op(e2,e1)
& op(op(e2,e1),e1) = e2
& op(op(e2,e1),e2) != e1 )
& ~ ( op(e2,e2) != op(e2,e2)
& op(op(e2,e2),e2) = e2
& op(op(e2,e2),e2) != e2 )
& ~ ( op(e3,e2) != op(e2,e3)
& op(op(e2,e3),e3) = e2
& op(op(e2,e3),e2) != e3 )
& ~ ( op(e4,e2) != op(e2,e4)
& op(op(e2,e4),e4) = e2
& op(op(e2,e4),e2) != e4 )
& ~ ( op(e0,e3) != op(e3,e0)
& op(op(e3,e0),e0) = e3
& op(op(e3,e0),e3) != e0 )
& ~ ( op(e1,e3) != op(e3,e1)
& op(op(e3,e1),e1) = e3
& op(op(e3,e1),e3) != e1 )
& ~ ( op(e2,e3) != op(e3,e2)
& op(op(e3,e2),e2) = e3
& op(op(e3,e2),e3) != e2 )
& ~ ( op(e3,e3) != op(e3,e3)
& op(op(e3,e3),e3) = e3
& op(op(e3,e3),e3) != e3 )
& ~ ( op(e4,e3) != op(e3,e4)
& op(op(e3,e4),e4) = e3
& op(op(e3,e4),e3) != e4 )
& ~ ( op(e0,e4) != op(e4,e0)
& op(op(e4,e0),e0) = e4
& op(op(e4,e0),e4) != e0 )
& op(e1,e4) != op(e4,e1)
& op(op(e4,e1),e1) = e4 )
=> op(op(e4,e1),e4) = e1 ),
inference(strip,[],[co1]) ).
fof(subgoal_22,plain,
( ( ( ( op(e0,e0) = e0
& op(e0,e0) = e0
& op(e0,e0) != e0 )
| ( op(e0,e0) = e1
& op(e1,e1) = e0
& op(e0,e1) != e0 )
| ( op(e0,e0) = e2
& op(e2,e2) = e0
& op(e0,e2) != e0 )
| ( op(e0,e0) = e3
& op(e3,e3) = e0
& op(e0,e3) != e0 )
| ( op(e0,e0) = e4
& op(e4,e4) = e0
& op(e0,e4) != e0 )
| ( op(e1,e1) = e0
& op(e0,e0) = e1
& op(e1,e0) != e1 )
| ( op(e1,e1) = e1
& op(e1,e1) = e1
& op(e1,e1) != e1 )
| ( op(e1,e1) = e2
& op(e2,e2) = e1
& op(e1,e2) != e1 )
| ( op(e1,e1) = e3
& op(e3,e3) = e1
& op(e1,e3) != e1 )
| ( op(e1,e1) = e4
& op(e4,e4) = e1
& op(e1,e4) != e1 )
| ( op(e2,e2) = e0
& op(e0,e0) = e2
& op(e2,e0) != e2 )
| ( op(e2,e2) = e1
& op(e1,e1) = e2
& op(e2,e1) != e2 )
| ( op(e2,e2) = e2
& op(e2,e2) = e2
& op(e2,e2) != e2 )
| ( op(e2,e2) = e3
& op(e3,e3) = e2
& op(e2,e3) != e2 )
| ( op(e2,e2) = e4
& op(e4,e4) = e2
& op(e2,e4) != e2 )
| ( op(e3,e3) = e0
& op(e0,e0) = e3
& op(e3,e0) != e3 )
| ( op(e3,e3) = e1
& op(e1,e1) = e3
& op(e3,e1) != e3 )
| ( op(e3,e3) = e2
& op(e2,e2) = e3
& op(e3,e2) != e3 )
| ( op(e3,e3) = e3
& op(e3,e3) = e3
& op(e3,e3) != e3 )
| ( op(e3,e3) = e4
& op(e4,e4) = e3
& op(e3,e4) != e3 )
| ( op(e4,e4) = e0
& op(e0,e0) = e4
& op(e4,e0) != e4 )
| ( op(e4,e4) = e1
& op(e1,e1) = e4
& op(e4,e1) != e4 )
| ( op(e4,e4) = e2
& op(e2,e2) = e4
& op(e4,e2) != e4 )
| ( op(e4,e4) = e3
& op(e3,e3) = e4
& op(e4,e3) != e4 )
| ( op(e4,e4) = e4
& op(e4,e4) = e4
& op(e4,e4) != e4 ) )
& ~ ( op(e0,e0) != op(e0,e0)
& op(op(e0,e0),e0) = e0
& op(op(e0,e0),e0) != e0 )
& ~ ( op(e1,e0) != op(e0,e1)
& op(op(e0,e1),e1) = e0
& op(op(e0,e1),e0) != e1 )
& ~ ( op(e2,e0) != op(e0,e2)
& op(op(e0,e2),e2) = e0
& op(op(e0,e2),e0) != e2 )
& ~ ( op(e3,e0) != op(e0,e3)
& op(op(e0,e3),e3) = e0
& op(op(e0,e3),e0) != e3 )
& ~ ( op(e4,e0) != op(e0,e4)
& op(op(e0,e4),e4) = e0
& op(op(e0,e4),e0) != e4 )
& ~ ( op(e0,e1) != op(e1,e0)
& op(op(e1,e0),e0) = e1
& op(op(e1,e0),e1) != e0 )
& ~ ( op(e1,e1) != op(e1,e1)
& op(op(e1,e1),e1) = e1
& op(op(e1,e1),e1) != e1 )
& ~ ( op(e2,e1) != op(e1,e2)
& op(op(e1,e2),e2) = e1
& op(op(e1,e2),e1) != e2 )
& ~ ( op(e3,e1) != op(e1,e3)
& op(op(e1,e3),e3) = e1
& op(op(e1,e3),e1) != e3 )
& ~ ( op(e4,e1) != op(e1,e4)
& op(op(e1,e4),e4) = e1
& op(op(e1,e4),e1) != e4 )
& ~ ( op(e0,e2) != op(e2,e0)
& op(op(e2,e0),e0) = e2
& op(op(e2,e0),e2) != e0 )
& ~ ( op(e1,e2) != op(e2,e1)
& op(op(e2,e1),e1) = e2
& op(op(e2,e1),e2) != e1 )
& ~ ( op(e2,e2) != op(e2,e2)
& op(op(e2,e2),e2) = e2
& op(op(e2,e2),e2) != e2 )
& ~ ( op(e3,e2) != op(e2,e3)
& op(op(e2,e3),e3) = e2
& op(op(e2,e3),e2) != e3 )
& ~ ( op(e4,e2) != op(e2,e4)
& op(op(e2,e4),e4) = e2
& op(op(e2,e4),e2) != e4 )
& ~ ( op(e0,e3) != op(e3,e0)
& op(op(e3,e0),e0) = e3
& op(op(e3,e0),e3) != e0 )
& ~ ( op(e1,e3) != op(e3,e1)
& op(op(e3,e1),e1) = e3
& op(op(e3,e1),e3) != e1 )
& ~ ( op(e2,e3) != op(e3,e2)
& op(op(e3,e2),e2) = e3
& op(op(e3,e2),e3) != e2 )
& ~ ( op(e3,e3) != op(e3,e3)
& op(op(e3,e3),e3) = e3
& op(op(e3,e3),e3) != e3 )
& ~ ( op(e4,e3) != op(e3,e4)
& op(op(e3,e4),e4) = e3
& op(op(e3,e4),e3) != e4 )
& ~ ( op(e0,e4) != op(e4,e0)
& op(op(e4,e0),e0) = e4
& op(op(e4,e0),e4) != e0 )
& ~ ( op(e1,e4) != op(e4,e1)
& op(op(e4,e1),e1) = e4
& op(op(e4,e1),e4) != e1 )
& op(e2,e4) != op(e4,e2)
& op(op(e4,e2),e2) = e4 )
=> op(op(e4,e2),e4) = e2 ),
inference(strip,[],[co1]) ).
fof(subgoal_23,plain,
( ( ( ( op(e0,e0) = e0
& op(e0,e0) = e0
& op(e0,e0) != e0 )
| ( op(e0,e0) = e1
& op(e1,e1) = e0
& op(e0,e1) != e0 )
| ( op(e0,e0) = e2
& op(e2,e2) = e0
& op(e0,e2) != e0 )
| ( op(e0,e0) = e3
& op(e3,e3) = e0
& op(e0,e3) != e0 )
| ( op(e0,e0) = e4
& op(e4,e4) = e0
& op(e0,e4) != e0 )
| ( op(e1,e1) = e0
& op(e0,e0) = e1
& op(e1,e0) != e1 )
| ( op(e1,e1) = e1
& op(e1,e1) = e1
& op(e1,e1) != e1 )
| ( op(e1,e1) = e2
& op(e2,e2) = e1
& op(e1,e2) != e1 )
| ( op(e1,e1) = e3
& op(e3,e3) = e1
& op(e1,e3) != e1 )
| ( op(e1,e1) = e4
& op(e4,e4) = e1
& op(e1,e4) != e1 )
| ( op(e2,e2) = e0
& op(e0,e0) = e2
& op(e2,e0) != e2 )
| ( op(e2,e2) = e1
& op(e1,e1) = e2
& op(e2,e1) != e2 )
| ( op(e2,e2) = e2
& op(e2,e2) = e2
& op(e2,e2) != e2 )
| ( op(e2,e2) = e3
& op(e3,e3) = e2
& op(e2,e3) != e2 )
| ( op(e2,e2) = e4
& op(e4,e4) = e2
& op(e2,e4) != e2 )
| ( op(e3,e3) = e0
& op(e0,e0) = e3
& op(e3,e0) != e3 )
| ( op(e3,e3) = e1
& op(e1,e1) = e3
& op(e3,e1) != e3 )
| ( op(e3,e3) = e2
& op(e2,e2) = e3
& op(e3,e2) != e3 )
| ( op(e3,e3) = e3
& op(e3,e3) = e3
& op(e3,e3) != e3 )
| ( op(e3,e3) = e4
& op(e4,e4) = e3
& op(e3,e4) != e3 )
| ( op(e4,e4) = e0
& op(e0,e0) = e4
& op(e4,e0) != e4 )
| ( op(e4,e4) = e1
& op(e1,e1) = e4
& op(e4,e1) != e4 )
| ( op(e4,e4) = e2
& op(e2,e2) = e4
& op(e4,e2) != e4 )
| ( op(e4,e4) = e3
& op(e3,e3) = e4
& op(e4,e3) != e4 )
| ( op(e4,e4) = e4
& op(e4,e4) = e4
& op(e4,e4) != e4 ) )
& ~ ( op(e0,e0) != op(e0,e0)
& op(op(e0,e0),e0) = e0
& op(op(e0,e0),e0) != e0 )
& ~ ( op(e1,e0) != op(e0,e1)
& op(op(e0,e1),e1) = e0
& op(op(e0,e1),e0) != e1 )
& ~ ( op(e2,e0) != op(e0,e2)
& op(op(e0,e2),e2) = e0
& op(op(e0,e2),e0) != e2 )
& ~ ( op(e3,e0) != op(e0,e3)
& op(op(e0,e3),e3) = e0
& op(op(e0,e3),e0) != e3 )
& ~ ( op(e4,e0) != op(e0,e4)
& op(op(e0,e4),e4) = e0
& op(op(e0,e4),e0) != e4 )
& ~ ( op(e0,e1) != op(e1,e0)
& op(op(e1,e0),e0) = e1
& op(op(e1,e0),e1) != e0 )
& ~ ( op(e1,e1) != op(e1,e1)
& op(op(e1,e1),e1) = e1
& op(op(e1,e1),e1) != e1 )
& ~ ( op(e2,e1) != op(e1,e2)
& op(op(e1,e2),e2) = e1
& op(op(e1,e2),e1) != e2 )
& ~ ( op(e3,e1) != op(e1,e3)
& op(op(e1,e3),e3) = e1
& op(op(e1,e3),e1) != e3 )
& ~ ( op(e4,e1) != op(e1,e4)
& op(op(e1,e4),e4) = e1
& op(op(e1,e4),e1) != e4 )
& ~ ( op(e0,e2) != op(e2,e0)
& op(op(e2,e0),e0) = e2
& op(op(e2,e0),e2) != e0 )
& ~ ( op(e1,e2) != op(e2,e1)
& op(op(e2,e1),e1) = e2
& op(op(e2,e1),e2) != e1 )
& ~ ( op(e2,e2) != op(e2,e2)
& op(op(e2,e2),e2) = e2
& op(op(e2,e2),e2) != e2 )
& ~ ( op(e3,e2) != op(e2,e3)
& op(op(e2,e3),e3) = e2
& op(op(e2,e3),e2) != e3 )
& ~ ( op(e4,e2) != op(e2,e4)
& op(op(e2,e4),e4) = e2
& op(op(e2,e4),e2) != e4 )
& ~ ( op(e0,e3) != op(e3,e0)
& op(op(e3,e0),e0) = e3
& op(op(e3,e0),e3) != e0 )
& ~ ( op(e1,e3) != op(e3,e1)
& op(op(e3,e1),e1) = e3
& op(op(e3,e1),e3) != e1 )
& ~ ( op(e2,e3) != op(e3,e2)
& op(op(e3,e2),e2) = e3
& op(op(e3,e2),e3) != e2 )
& ~ ( op(e3,e3) != op(e3,e3)
& op(op(e3,e3),e3) = e3
& op(op(e3,e3),e3) != e3 )
& ~ ( op(e4,e3) != op(e3,e4)
& op(op(e3,e4),e4) = e3
& op(op(e3,e4),e3) != e4 )
& ~ ( op(e0,e4) != op(e4,e0)
& op(op(e4,e0),e0) = e4
& op(op(e4,e0),e4) != e0 )
& ~ ( op(e1,e4) != op(e4,e1)
& op(op(e4,e1),e1) = e4
& op(op(e4,e1),e4) != e1 )
& ~ ( op(e2,e4) != op(e4,e2)
& op(op(e4,e2),e2) = e4
& op(op(e4,e2),e4) != e2 )
& op(e3,e4) != op(e4,e3)
& op(op(e4,e3),e3) = e4 )
=> op(op(e4,e3),e4) = e3 ),
inference(strip,[],[co1]) ).
fof(subgoal_24,plain,
( ( ( ( op(e0,e0) = e0
& op(e0,e0) = e0
& op(e0,e0) != e0 )
| ( op(e0,e0) = e1
& op(e1,e1) = e0
& op(e0,e1) != e0 )
| ( op(e0,e0) = e2
& op(e2,e2) = e0
& op(e0,e2) != e0 )
| ( op(e0,e0) = e3
& op(e3,e3) = e0
& op(e0,e3) != e0 )
| ( op(e0,e0) = e4
& op(e4,e4) = e0
& op(e0,e4) != e0 )
| ( op(e1,e1) = e0
& op(e0,e0) = e1
& op(e1,e0) != e1 )
| ( op(e1,e1) = e1
& op(e1,e1) = e1
& op(e1,e1) != e1 )
| ( op(e1,e1) = e2
& op(e2,e2) = e1
& op(e1,e2) != e1 )
| ( op(e1,e1) = e3
& op(e3,e3) = e1
& op(e1,e3) != e1 )
| ( op(e1,e1) = e4
& op(e4,e4) = e1
& op(e1,e4) != e1 )
| ( op(e2,e2) = e0
& op(e0,e0) = e2
& op(e2,e0) != e2 )
| ( op(e2,e2) = e1
& op(e1,e1) = e2
& op(e2,e1) != e2 )
| ( op(e2,e2) = e2
& op(e2,e2) = e2
& op(e2,e2) != e2 )
| ( op(e2,e2) = e3
& op(e3,e3) = e2
& op(e2,e3) != e2 )
| ( op(e2,e2) = e4
& op(e4,e4) = e2
& op(e2,e4) != e2 )
| ( op(e3,e3) = e0
& op(e0,e0) = e3
& op(e3,e0) != e3 )
| ( op(e3,e3) = e1
& op(e1,e1) = e3
& op(e3,e1) != e3 )
| ( op(e3,e3) = e2
& op(e2,e2) = e3
& op(e3,e2) != e3 )
| ( op(e3,e3) = e3
& op(e3,e3) = e3
& op(e3,e3) != e3 )
| ( op(e3,e3) = e4
& op(e4,e4) = e3
& op(e3,e4) != e3 )
| ( op(e4,e4) = e0
& op(e0,e0) = e4
& op(e4,e0) != e4 )
| ( op(e4,e4) = e1
& op(e1,e1) = e4
& op(e4,e1) != e4 )
| ( op(e4,e4) = e2
& op(e2,e2) = e4
& op(e4,e2) != e4 )
| ( op(e4,e4) = e3
& op(e3,e3) = e4
& op(e4,e3) != e4 )
| ( op(e4,e4) = e4
& op(e4,e4) = e4
& op(e4,e4) != e4 ) )
& ~ ( op(e0,e0) != op(e0,e0)
& op(op(e0,e0),e0) = e0
& op(op(e0,e0),e0) != e0 )
& ~ ( op(e1,e0) != op(e0,e1)
& op(op(e0,e1),e1) = e0
& op(op(e0,e1),e0) != e1 )
& ~ ( op(e2,e0) != op(e0,e2)
& op(op(e0,e2),e2) = e0
& op(op(e0,e2),e0) != e2 )
& ~ ( op(e3,e0) != op(e0,e3)
& op(op(e0,e3),e3) = e0
& op(op(e0,e3),e0) != e3 )
& ~ ( op(e4,e0) != op(e0,e4)
& op(op(e0,e4),e4) = e0
& op(op(e0,e4),e0) != e4 )
& ~ ( op(e0,e1) != op(e1,e0)
& op(op(e1,e0),e0) = e1
& op(op(e1,e0),e1) != e0 )
& ~ ( op(e1,e1) != op(e1,e1)
& op(op(e1,e1),e1) = e1
& op(op(e1,e1),e1) != e1 )
& ~ ( op(e2,e1) != op(e1,e2)
& op(op(e1,e2),e2) = e1
& op(op(e1,e2),e1) != e2 )
& ~ ( op(e3,e1) != op(e1,e3)
& op(op(e1,e3),e3) = e1
& op(op(e1,e3),e1) != e3 )
& ~ ( op(e4,e1) != op(e1,e4)
& op(op(e1,e4),e4) = e1
& op(op(e1,e4),e1) != e4 )
& ~ ( op(e0,e2) != op(e2,e0)
& op(op(e2,e0),e0) = e2
& op(op(e2,e0),e2) != e0 )
& ~ ( op(e1,e2) != op(e2,e1)
& op(op(e2,e1),e1) = e2
& op(op(e2,e1),e2) != e1 )
& ~ ( op(e2,e2) != op(e2,e2)
& op(op(e2,e2),e2) = e2
& op(op(e2,e2),e2) != e2 )
& ~ ( op(e3,e2) != op(e2,e3)
& op(op(e2,e3),e3) = e2
& op(op(e2,e3),e2) != e3 )
& ~ ( op(e4,e2) != op(e2,e4)
& op(op(e2,e4),e4) = e2
& op(op(e2,e4),e2) != e4 )
& ~ ( op(e0,e3) != op(e3,e0)
& op(op(e3,e0),e0) = e3
& op(op(e3,e0),e3) != e0 )
& ~ ( op(e1,e3) != op(e3,e1)
& op(op(e3,e1),e1) = e3
& op(op(e3,e1),e3) != e1 )
& ~ ( op(e2,e3) != op(e3,e2)
& op(op(e3,e2),e2) = e3
& op(op(e3,e2),e3) != e2 )
& ~ ( op(e3,e3) != op(e3,e3)
& op(op(e3,e3),e3) = e3
& op(op(e3,e3),e3) != e3 )
& ~ ( op(e4,e3) != op(e3,e4)
& op(op(e3,e4),e4) = e3
& op(op(e3,e4),e3) != e4 )
& ~ ( op(e0,e4) != op(e4,e0)
& op(op(e4,e0),e0) = e4
& op(op(e4,e0),e4) != e0 )
& ~ ( op(e1,e4) != op(e4,e1)
& op(op(e4,e1),e1) = e4
& op(op(e4,e1),e4) != e1 )
& ~ ( op(e2,e4) != op(e4,e2)
& op(op(e4,e2),e2) = e4
& op(op(e4,e2),e4) != e2 )
& ~ ( op(e3,e4) != op(e4,e3)
& op(op(e4,e3),e3) = e4
& op(op(e4,e3),e4) != e3 )
& op(e4,e4) != op(e4,e4)
& op(op(e4,e4),e4) = e4 )
=> op(op(e4,e4),e4) = e4 ),
inference(strip,[],[co1]) ).
fof(negate_0_0,plain,
~ ( ( ( ( op(e0,e0) = e0
& op(e0,e0) = e0
& op(e0,e0) != e0 )
| ( op(e0,e0) = e1
& op(e1,e1) = e0
& op(e0,e1) != e0 )
| ( op(e0,e0) = e2
& op(e2,e2) = e0
& op(e0,e2) != e0 )
| ( op(e0,e0) = e3
& op(e3,e3) = e0
& op(e0,e3) != e0 )
| ( op(e0,e0) = e4
& op(e4,e4) = e0
& op(e0,e4) != e0 )
| ( op(e1,e1) = e0
& op(e0,e0) = e1
& op(e1,e0) != e1 )
| ( op(e1,e1) = e1
& op(e1,e1) = e1
& op(e1,e1) != e1 )
| ( op(e1,e1) = e2
& op(e2,e2) = e1
& op(e1,e2) != e1 )
| ( op(e1,e1) = e3
& op(e3,e3) = e1
& op(e1,e3) != e1 )
| ( op(e1,e1) = e4
& op(e4,e4) = e1
& op(e1,e4) != e1 )
| ( op(e2,e2) = e0
& op(e0,e0) = e2
& op(e2,e0) != e2 )
| ( op(e2,e2) = e1
& op(e1,e1) = e2
& op(e2,e1) != e2 )
| ( op(e2,e2) = e2
& op(e2,e2) = e2
& op(e2,e2) != e2 )
| ( op(e2,e2) = e3
& op(e3,e3) = e2
& op(e2,e3) != e2 )
| ( op(e2,e2) = e4
& op(e4,e4) = e2
& op(e2,e4) != e2 )
| ( op(e3,e3) = e0
& op(e0,e0) = e3
& op(e3,e0) != e3 )
| ( op(e3,e3) = e1
& op(e1,e1) = e3
& op(e3,e1) != e3 )
| ( op(e3,e3) = e2
& op(e2,e2) = e3
& op(e3,e2) != e3 )
| ( op(e3,e3) = e3
& op(e3,e3) = e3
& op(e3,e3) != e3 )
| ( op(e3,e3) = e4
& op(e4,e4) = e3
& op(e3,e4) != e3 )
| ( op(e4,e4) = e0
& op(e0,e0) = e4
& op(e4,e0) != e4 )
| ( op(e4,e4) = e1
& op(e1,e1) = e4
& op(e4,e1) != e4 )
| ( op(e4,e4) = e2
& op(e2,e2) = e4
& op(e4,e2) != e4 )
| ( op(e4,e4) = e3
& op(e3,e3) = e4
& op(e4,e3) != e4 )
| ( op(e4,e4) = e4
& op(e4,e4) = e4
& op(e4,e4) != e4 ) )
& op(e0,e0) != op(e0,e0)
& op(op(e0,e0),e0) = e0 )
=> op(op(e0,e0),e0) = e0 ),
inference(negate,[],[subgoal_0]) ).
fof(normalize_0_0,plain,
$false,
inference(canonicalize,[],[negate_0_0]) ).
cnf(refute_0_0,plain,
$false,
inference(canonicalize,[],[normalize_0_0]) ).
fof(negate_1_0,plain,
~ ( ( ( ( op(e0,e0) = e0
& op(e0,e0) = e0
& op(e0,e0) != e0 )
| ( op(e0,e0) = e1
& op(e1,e1) = e0
& op(e0,e1) != e0 )
| ( op(e0,e0) = e2
& op(e2,e2) = e0
& op(e0,e2) != e0 )
| ( op(e0,e0) = e3
& op(e3,e3) = e0
& op(e0,e3) != e0 )
| ( op(e0,e0) = e4
& op(e4,e4) = e0
& op(e0,e4) != e0 )
| ( op(e1,e1) = e0
& op(e0,e0) = e1
& op(e1,e0) != e1 )
| ( op(e1,e1) = e1
& op(e1,e1) = e1
& op(e1,e1) != e1 )
| ( op(e1,e1) = e2
& op(e2,e2) = e1
& op(e1,e2) != e1 )
| ( op(e1,e1) = e3
& op(e3,e3) = e1
& op(e1,e3) != e1 )
| ( op(e1,e1) = e4
& op(e4,e4) = e1
& op(e1,e4) != e1 )
| ( op(e2,e2) = e0
& op(e0,e0) = e2
& op(e2,e0) != e2 )
| ( op(e2,e2) = e1
& op(e1,e1) = e2
& op(e2,e1) != e2 )
| ( op(e2,e2) = e2
& op(e2,e2) = e2
& op(e2,e2) != e2 )
| ( op(e2,e2) = e3
& op(e3,e3) = e2
& op(e2,e3) != e2 )
| ( op(e2,e2) = e4
& op(e4,e4) = e2
& op(e2,e4) != e2 )
| ( op(e3,e3) = e0
& op(e0,e0) = e3
& op(e3,e0) != e3 )
| ( op(e3,e3) = e1
& op(e1,e1) = e3
& op(e3,e1) != e3 )
| ( op(e3,e3) = e2
& op(e2,e2) = e3
& op(e3,e2) != e3 )
| ( op(e3,e3) = e3
& op(e3,e3) = e3
& op(e3,e3) != e3 )
| ( op(e3,e3) = e4
& op(e4,e4) = e3
& op(e3,e4) != e3 )
| ( op(e4,e4) = e0
& op(e0,e0) = e4
& op(e4,e0) != e4 )
| ( op(e4,e4) = e1
& op(e1,e1) = e4
& op(e4,e1) != e4 )
| ( op(e4,e4) = e2
& op(e2,e2) = e4
& op(e4,e2) != e4 )
| ( op(e4,e4) = e3
& op(e3,e3) = e4
& op(e4,e3) != e4 )
| ( op(e4,e4) = e4
& op(e4,e4) = e4
& op(e4,e4) != e4 ) )
& ~ ( op(e0,e0) != op(e0,e0)
& op(op(e0,e0),e0) = e0
& op(op(e0,e0),e0) != e0 )
& op(e1,e0) != op(e0,e1)
& op(op(e0,e1),e1) = e0 )
=> op(op(e0,e1),e0) = e1 ),
inference(negate,[],[subgoal_1]) ).
fof(normalize_1_0,plain,
( op(e0,unit) = e0
& op(e1,unit) = e1
& op(e2,unit) = e2
& op(e3,unit) = e3
& op(e4,unit) = e4
& op(unit,e0) = e0
& op(unit,e1) = e1
& op(unit,e2) = e2
& op(unit,e3) = e3
& op(unit,e4) = e4
& ( unit = e0
| unit = e1
| unit = e2
| unit = e3
| unit = e4 ) ),
inference(canonicalize,[],[ax2]) ).
fof(normalize_1_1,plain,
op(e4,unit) = e4,
inference(conjunct,[],[normalize_1_0]) ).
fof(normalize_1_2,plain,
( op(e1,e0) != op(e0,e1)
& op(op(e0,e1),e0) != e1
& op(op(e0,e1),e1) = e0
& ( ( op(e0,e1) != e0
& op(e0,e0) = e1
& op(e1,e1) = e0 )
| ( op(e0,e2) != e0
& op(e0,e0) = e2
& op(e2,e2) = e0 )
| ( op(e0,e3) != e0
& op(e0,e0) = e3
& op(e3,e3) = e0 )
| ( op(e0,e4) != e0
& op(e0,e0) = e4
& op(e4,e4) = e0 )
| ( op(e1,e0) != e1
& op(e0,e0) = e1
& op(e1,e1) = e0 )
| ( op(e1,e2) != e1
& op(e1,e1) = e2
& op(e2,e2) = e1 )
| ( op(e1,e3) != e1
& op(e1,e1) = e3
& op(e3,e3) = e1 )
| ( op(e1,e4) != e1
& op(e1,e1) = e4
& op(e4,e4) = e1 )
| ( op(e2,e0) != e2
& op(e0,e0) = e2
& op(e2,e2) = e0 )
| ( op(e2,e1) != e2
& op(e1,e1) = e2
& op(e2,e2) = e1 )
| ( op(e2,e3) != e2
& op(e2,e2) = e3
& op(e3,e3) = e2 )
| ( op(e2,e4) != e2
& op(e2,e2) = e4
& op(e4,e4) = e2 )
| ( op(e3,e0) != e3
& op(e0,e0) = e3
& op(e3,e3) = e0 )
| ( op(e3,e1) != e3
& op(e1,e1) = e3
& op(e3,e3) = e1 )
| ( op(e3,e2) != e3
& op(e2,e2) = e3
& op(e3,e3) = e2 )
| ( op(e3,e4) != e3
& op(e3,e3) = e4
& op(e4,e4) = e3 )
| ( op(e4,e0) != e4
& op(e0,e0) = e4
& op(e4,e4) = e0 )
| ( op(e4,e1) != e4
& op(e1,e1) = e4
& op(e4,e4) = e1 )
| ( op(e4,e2) != e4
& op(e2,e2) = e4
& op(e4,e4) = e2 )
| ( op(e4,e3) != e4
& op(e3,e3) = e4
& op(e4,e4) = e3 ) ) ),
inference(canonicalize,[],[negate_1_0]) ).
fof(normalize_1_3,plain,
op(op(e0,e1),e1) = e0,
inference(conjunct,[],[normalize_1_2]) ).
fof(normalize_1_4,plain,
op(unit,e1) = e1,
inference(conjunct,[],[normalize_1_0]) ).
fof(normalize_1_5,plain,
op(unit,e4) = e4,
inference(conjunct,[],[normalize_1_0]) ).
fof(normalize_1_6,plain,
( unit = e0
| unit = e1
| unit = e2
| unit = e3
| unit = e4 ),
inference(conjunct,[],[normalize_1_0]) ).
fof(normalize_1_7,plain,
( e0 = op(op(e4,e4),e4)
& e1 = op(e4,e4)
& e2 = op(op(e4,op(e4,e4)),e4)
& e3 = op(e4,op(e4,e4)) ),
inference(canonicalize,[],[ax6]) ).
fof(normalize_1_8,plain,
e1 = op(e4,e4),
inference(conjunct,[],[normalize_1_7]) ).
fof(normalize_1_9,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_10,plain,
e1 != e4,
inference(conjunct,[],[normalize_1_9]) ).
fof(normalize_1_11,plain,
e0 = op(op(e4,e4),e4),
inference(conjunct,[],[normalize_1_7]) ).
fof(normalize_1_12,plain,
e0 != e4,
inference(conjunct,[],[normalize_1_9]) ).
fof(normalize_1_13,plain,
e2 = op(op(e4,op(e4,e4)),e4),
inference(conjunct,[],[normalize_1_7]) ).
fof(normalize_1_14,plain,
e3 = op(e4,op(e4,e4)),
inference(conjunct,[],[normalize_1_7]) ).
fof(normalize_1_15,plain,
e2 != e4,
inference(conjunct,[],[normalize_1_9]) ).
fof(normalize_1_16,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_17,plain,
op(e1,e1) != op(e1,e4),
inference(conjunct,[],[normalize_1_16]) ).
fof(normalize_1_18,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,[],[ax3]) ).
fof(normalize_1_19,plain,
( op(e4,e0) = e0
| op(e4,e1) = e0
| op(e4,e2) = e0
| op(e4,e3) = e0
| op(e4,e4) = e0 ),
inference(conjunct,[],[normalize_1_18]) ).
fof(normalize_1_20,plain,
e0 != e1,
inference(conjunct,[],[normalize_1_9]) ).
fof(normalize_1_21,plain,
e0 != e3,
inference(conjunct,[],[normalize_1_9]) ).
fof(normalize_1_22,plain,
op(e2,e0) != op(e4,e0),
inference(conjunct,[],[normalize_1_16]) ).
fof(normalize_1_23,plain,
op(unit,e0) = e0,
inference(conjunct,[],[normalize_1_0]) ).
fof(normalize_1_24,plain,
( op(e4,e0) = e2
| op(e4,e1) = e2
| op(e4,e2) = e2
| op(e4,e3) = e2
| op(e4,e4) = e2 ),
inference(conjunct,[],[normalize_1_18]) ).
fof(normalize_1_25,plain,
e1 != e2,
inference(conjunct,[],[normalize_1_9]) ).
fof(normalize_1_26,plain,
e2 != e3,
inference(conjunct,[],[normalize_1_9]) ).
fof(normalize_1_27,plain,
e0 != e2,
inference(conjunct,[],[normalize_1_9]) ).
fof(normalize_1_28,plain,
( op(e0,e4) = e3
| op(e1,e4) = e3
| op(e2,e4) = e3
| op(e3,e4) = e3
| op(e4,e4) = e3 ),
inference(conjunct,[],[normalize_1_18]) ).
fof(normalize_1_29,plain,
op(e4,e1) != op(e4,e4),
inference(conjunct,[],[normalize_1_16]) ).
fof(normalize_1_30,plain,
e3 != e4,
inference(conjunct,[],[normalize_1_9]) ).
fof(normalize_1_31,plain,
( ~ definitionFOFtoCNF_4
<=> ( ( op(e1,e3) != e1
& op(e1,e1) = e3
& op(e3,e3) = e1 )
| ( op(e1,e4) != e1
& op(e1,e1) = e4
& op(e4,e4) = e1 ) ) ),
inference(canonicalize,[],[definition_27]) ).
fof(normalize_1_32,plain,
( ( op(e1,e3) != e1
| op(e1,e4) != e1
| definitionFOFtoCNF_4 )
& ( op(e1,e3) != e1
| op(e1,e1) = e4
| definitionFOFtoCNF_4 )
& ( op(e1,e3) != e1
| op(e4,e4) = e1
| definitionFOFtoCNF_4 )
& ( op(e1,e4) != e1
| op(e1,e1) = e3
| definitionFOFtoCNF_4 )
& ( op(e1,e4) != e1
| op(e3,e3) = e1
| definitionFOFtoCNF_4 )
& ( op(e1,e1) = e3
| op(e1,e1) = e4
| definitionFOFtoCNF_4 )
& ( op(e1,e1) = e3
| op(e4,e4) = e1
| definitionFOFtoCNF_4 )
& ( op(e1,e1) = e4
| op(e3,e3) = e1
| definitionFOFtoCNF_4 )
& ( op(e3,e3) = e1
| op(e4,e4) = e1
| definitionFOFtoCNF_4 )
& ( op(e1,e1) != e3
| op(e3,e3) != e1
| ~ definitionFOFtoCNF_4
| op(e1,e3) = e1 )
& ( op(e1,e1) != e4
| op(e4,e4) != e1
| ~ definitionFOFtoCNF_4
| op(e1,e4) = e1 ) ),
inference(clausify,[],[normalize_1_31]) ).
fof(normalize_1_33,plain,
( op(e1,e1) = e3
| op(e1,e1) = e4
| definitionFOFtoCNF_4 ),
inference(conjunct,[],[normalize_1_32]) ).
fof(normalize_1_34,plain,
op(e1,e1) != op(e4,e1),
inference(conjunct,[],[normalize_1_16]) ).
fof(normalize_1_35,plain,
( op(e0,e1) = e2
| op(e1,e1) = e2
| op(e2,e1) = e2
| op(e3,e1) = e2
| op(e4,e1) = e2 ),
inference(conjunct,[],[normalize_1_18]) ).
fof(normalize_1_36,plain,
op(e3,e1) != op(e3,e4),
inference(conjunct,[],[normalize_1_16]) ).
fof(normalize_1_37,plain,
( ~ definitionFOFtoCNF_0
<=> ( ( op(e0,e0) != e1
| op(e1,e1) != e0
| op(e0,e1) = e0 )
& ( op(e0,e0) != e1
| op(e1,e1) != e0
| op(e1,e0) = e1 )
& ( op(e0,e0) != e2
| op(e2,e2) != e0
| op(e0,e2) = e0 )
& ( op(e0,e0) != e2
| op(e2,e2) != e0
| op(e2,e0) = e2 )
& ( op(e0,e0) != e3
| op(e3,e3) != e0
| op(e0,e3) = e0 )
& ( op(e0,e0) != e4
| op(e4,e4) != e0
| op(e0,e4) = e0 )
& ( op(e1,e1) != e2
| op(e2,e2) != e1
| op(e1,e2) = e1 )
& ( op(e1,e1) != e2
| op(e2,e2) != e1
| op(e2,e1) = e2 )
& ( op(e1,e1) != e3
| op(e3,e3) != e1
| op(e1,e3) = e1 )
& ( op(e1,e1) != e4
| op(e4,e4) != e1
| op(e1,e4) = e1 ) ) ),
inference(canonicalize,[],[definition_0]) ).
fof(normalize_1_38,plain,
( ~ definitionFOFtoCNF_1
<=> ( ( op(e0,e1) != e0
& op(e0,e0) = e1
& op(e1,e1) = e0 )
| ( op(e0,e2) != e0
& op(e0,e0) = e2
& op(e2,e2) = e0 )
| ( op(e0,e3) != e0
& op(e0,e0) = e3
& op(e3,e3) = e0 )
| ( op(e1,e0) != e1
& op(e0,e0) = e1
& op(e1,e1) = e0 )
| ( op(e2,e0) != e2
& op(e0,e0) = e2
& op(e2,e2) = e0 ) ) ),
inference(canonicalize,[],[definition_1]) ).
fof(normalize_1_39,plain,
( ~ definitionFOFtoCNF_2
<=> ( ( op(e0,e1) != e0
& op(e0,e0) = e1
& op(e1,e1) = e0 )
| ( op(e1,e0) != e1
& op(e0,e0) = e1
& op(e1,e1) = e0 ) ) ),
inference(canonicalize,[],[definition_25]) ).
fof(normalize_1_40,plain,
( ~ definitionFOFtoCNF_1
<=> ( ~ definitionFOFtoCNF_2
| ( op(e0,e2) != e0
& op(e0,e0) = e2
& op(e2,e2) = e0 )
| ( op(e0,e3) != e0
& op(e0,e0) = e3
& op(e3,e3) = e0 )
| ( op(e2,e0) != e2
& op(e0,e0) = e2
& op(e2,e2) = e0 ) ) ),
inference(simplify,[],[normalize_1_38,normalize_1_39]) ).
fof(normalize_1_41,plain,
( ~ definitionFOFtoCNF_3
<=> ( op(e0,e2) != e0
& op(e0,e0) = e2
& op(e2,e2) = e0 ) ),
inference(canonicalize,[],[definition_26]) ).
fof(normalize_1_42,plain,
( ~ definitionFOFtoCNF_1
<=> ( ~ definitionFOFtoCNF_2
| ~ definitionFOFtoCNF_3
| ( op(e0,e3) != e0
& op(e0,e0) = e3
& op(e3,e3) = e0 )
| ( op(e2,e0) != e2
& op(e0,e0) = e2
& op(e2,e2) = e0 ) ) ),
inference(simplify,[],[normalize_1_40,normalize_1_41]) ).
fof(normalize_1_43,plain,
( ~ definitionFOFtoCNF_0
<=> ( definitionFOFtoCNF_1
& ( op(e0,e0) != e4
| op(e4,e4) != e0
| op(e0,e4) = e0 )
& ( op(e1,e1) != e2
| op(e2,e2) != e1
| op(e1,e2) = e1 )
& ( op(e1,e1) != e2
| op(e2,e2) != e1
| op(e2,e1) = e2 )
& ( op(e1,e1) != e3
| op(e3,e3) != e1
| op(e1,e3) = e1 )
& ( op(e1,e1) != e4
| op(e4,e4) != e1
| op(e1,e4) = e1 ) ) ),
inference(simplify,[],[normalize_1_37,normalize_1_42,normalize_1_39,normalize_1_41]) ).
fof(normalize_1_44,plain,
( ~ definitionFOFtoCNF_0
<=> ( definitionFOFtoCNF_1
& definitionFOFtoCNF_4
& ( op(e0,e0) != e4
| op(e4,e4) != e0
| op(e0,e4) = e0 )
& ( op(e1,e1) != e2
| op(e2,e2) != e1
| op(e1,e2) = e1 )
& ( op(e1,e1) != e2
| op(e2,e2) != e1
| op(e2,e1) = e2 ) ) ),
inference(simplify,[],[normalize_1_43,normalize_1_31]) ).
fof(normalize_1_45,plain,
( ~ definitionFOFtoCNF_5
<=> ( op(e0,e4) != e0
& op(e0,e0) = e4
& op(e4,e4) = e0 ) ),
inference(canonicalize,[],[definition_28]) ).
fof(normalize_1_46,plain,
( ~ definitionFOFtoCNF_0
<=> ( definitionFOFtoCNF_1
& definitionFOFtoCNF_4
& definitionFOFtoCNF_5
& ( op(e1,e1) != e2
| op(e2,e2) != e1
| op(e1,e2) = e1 )
& ( op(e1,e1) != e2
| op(e2,e2) != e1
| op(e2,e1) = e2 ) ) ),
inference(simplify,[],[normalize_1_44,normalize_1_45]) ).
fof(normalize_1_47,plain,
( ( definitionFOFtoCNF_0
| definitionFOFtoCNF_1 )
& ( definitionFOFtoCNF_0
| definitionFOFtoCNF_4 )
& ( definitionFOFtoCNF_0
| definitionFOFtoCNF_5 )
& ( op(e1,e1) != e2
| op(e2,e2) != e1
| op(e1,e2) = e1
| definitionFOFtoCNF_0 )
& ( op(e1,e1) != e2
| op(e2,e2) != e1
| op(e2,e1) = e2
| definitionFOFtoCNF_0 )
& ( ~ definitionFOFtoCNF_0
| ~ definitionFOFtoCNF_1
| ~ definitionFOFtoCNF_4
| ~ definitionFOFtoCNF_5
| op(e1,e1) = e2 )
& ( ~ definitionFOFtoCNF_0
| ~ definitionFOFtoCNF_1
| ~ definitionFOFtoCNF_4
| ~ definitionFOFtoCNF_5
| op(e2,e2) = e1 )
& ( op(e1,e2) != e1
| op(e2,e1) != e2
| ~ definitionFOFtoCNF_0
| ~ definitionFOFtoCNF_1
| ~ definitionFOFtoCNF_4
| ~ definitionFOFtoCNF_5 )
& ( op(e1,e2) != e1
| ~ definitionFOFtoCNF_0
| ~ definitionFOFtoCNF_1
| ~ definitionFOFtoCNF_4
| ~ definitionFOFtoCNF_5
| op(e1,e1) = e2 )
& ( op(e1,e2) != e1
| ~ definitionFOFtoCNF_0
| ~ definitionFOFtoCNF_1
| ~ definitionFOFtoCNF_4
| ~ definitionFOFtoCNF_5
| op(e2,e2) = e1 )
& ( op(e2,e1) != e2
| ~ definitionFOFtoCNF_0
| ~ definitionFOFtoCNF_1
| ~ definitionFOFtoCNF_4
| ~ definitionFOFtoCNF_5
| op(e1,e1) = e2 )
& ( op(e2,e1) != e2
| ~ definitionFOFtoCNF_0
| ~ definitionFOFtoCNF_1
| ~ definitionFOFtoCNF_4
| ~ definitionFOFtoCNF_5
| op(e2,e2) = e1 )
& ( ~ definitionFOFtoCNF_0
| ~ definitionFOFtoCNF_1
| ~ definitionFOFtoCNF_4
| ~ definitionFOFtoCNF_5
| op(e1,e1) = e2
| op(e2,e2) = e1 ) ),
inference(clausify,[],[normalize_1_46]) ).
fof(normalize_1_48,plain,
( ~ definitionFOFtoCNF_0
| ~ definitionFOFtoCNF_1
| ~ definitionFOFtoCNF_4
| ~ definitionFOFtoCNF_5
| op(e2,e2) = e1 ),
inference(conjunct,[],[normalize_1_47]) ).
fof(normalize_1_49,plain,
( ( op(e0,e4) != e0
| definitionFOFtoCNF_5 )
& ( op(e0,e0) = e4
| definitionFOFtoCNF_5 )
& ( op(e4,e4) = e0
| definitionFOFtoCNF_5 )
& ( op(e0,e0) != e4
| op(e4,e4) != e0
| ~ definitionFOFtoCNF_5
| op(e0,e4) = e0 ) ),
inference(clausify,[],[normalize_1_45]) ).
fof(normalize_1_50,plain,
( op(e4,e4) = e0
| definitionFOFtoCNF_5 ),
inference(conjunct,[],[normalize_1_49]) ).
fof(normalize_1_51,plain,
op(e2,unit) = e2,
inference(conjunct,[],[normalize_1_0]) ).
fof(normalize_1_52,plain,
( definitionFOFtoCNF_0
| definitionFOFtoCNF_4 ),
inference(conjunct,[],[normalize_1_47]) ).
fof(normalize_1_53,plain,
( op(e1,e1) != e4
| op(e4,e4) != e1
| ~ definitionFOFtoCNF_4
| op(e1,e4) = e1 ),
inference(conjunct,[],[normalize_1_32]) ).
fof(normalize_1_54,plain,
( ( op(e0,e1) != e0
& op(e0,e0) = e1
& op(e1,e1) = e0 )
| ( op(e0,e2) != e0
& op(e0,e0) = e2
& op(e2,e2) = e0 )
| ( op(e0,e3) != e0
& op(e0,e0) = e3
& op(e3,e3) = e0 )
| ( op(e0,e4) != e0
& op(e0,e0) = e4
& op(e4,e4) = e0 )
| ( op(e1,e0) != e1
& op(e0,e0) = e1
& op(e1,e1) = e0 )
| ( op(e1,e2) != e1
& op(e1,e1) = e2
& op(e2,e2) = e1 )
| ( op(e1,e3) != e1
& op(e1,e1) = e3
& op(e3,e3) = e1 )
| ( op(e1,e4) != e1
& op(e1,e1) = e4
& op(e4,e4) = e1 )
| ( op(e2,e0) != e2
& op(e0,e0) = e2
& op(e2,e2) = e0 )
| ( op(e2,e1) != e2
& op(e1,e1) = e2
& op(e2,e2) = e1 )
| ( op(e2,e3) != e2
& op(e2,e2) = e3
& op(e3,e3) = e2 )
| ( op(e2,e4) != e2
& op(e2,e2) = e4
& op(e4,e4) = e2 )
| ( op(e3,e0) != e3
& op(e0,e0) = e3
& op(e3,e3) = e0 )
| ( op(e3,e1) != e3
& op(e1,e1) = e3
& op(e3,e3) = e1 )
| ( op(e3,e2) != e3
& op(e2,e2) = e3
& op(e3,e3) = e2 )
| ( op(e3,e4) != e3
& op(e3,e3) = e4
& op(e4,e4) = e3 )
| ( op(e4,e0) != e4
& op(e0,e0) = e4
& op(e4,e4) = e0 )
| ( op(e4,e1) != e4
& op(e1,e1) = e4
& op(e4,e4) = e1 )
| ( op(e4,e2) != e4
& op(e2,e2) = e4
& op(e4,e4) = e2 )
| ( op(e4,e3) != e4
& op(e3,e3) = e4
& op(e4,e4) = e3 ) ),
inference(conjunct,[],[normalize_1_2]) ).
fof(normalize_1_55,plain,
( definitionFOFtoCNF_0
| ( op(e2,e3) != e2
& op(e2,e2) = e3
& op(e3,e3) = e2 )
| ( op(e2,e4) != e2
& op(e2,e2) = e4
& op(e4,e4) = e2 )
| ( op(e3,e0) != e3
& op(e0,e0) = e3
& op(e3,e3) = e0 )
| ( op(e3,e1) != e3
& op(e1,e1) = e3
& op(e3,e3) = e1 )
| ( op(e3,e2) != e3
& op(e2,e2) = e3
& op(e3,e3) = e2 )
| ( op(e3,e4) != e3
& op(e3,e3) = e4
& op(e4,e4) = e3 )
| ( op(e4,e0) != e4
& op(e0,e0) = e4
& op(e4,e4) = e0 )
| ( op(e4,e1) != e4
& op(e1,e1) = e4
& op(e4,e4) = e1 )
| ( op(e4,e2) != e4
& op(e2,e2) = e4
& op(e4,e4) = e2 )
| ( op(e4,e3) != e4
& op(e3,e3) = e4
& op(e4,e4) = e3 ) ),
inference(simplify,[],[normalize_1_54,normalize_1_46,normalize_1_31,normalize_1_42,normalize_1_39,normalize_1_41,normalize_1_45]) ).
fof(normalize_1_56,plain,
( ~ definitionFOFtoCNF_6
<=> ( ~ definitionFOFtoCNF_0
& ( op(e0,e0) != e3
| op(e3,e3) != e0
| op(e3,e0) = e3 )
& ( op(e1,e1) != e3
| op(e3,e3) != e1
| op(e3,e1) = e3 )
& ( op(e2,e2) != e3
| op(e3,e3) != e2
| op(e2,e3) = e2 )
& ( op(e2,e2) != e3
| op(e3,e3) != e2
| op(e3,e2) = e3 )
& ( op(e2,e2) != e4
| op(e4,e4) != e2
| op(e2,e4) = e2 ) ) ),
inference(canonicalize,[],[definition_34]) ).
fof(normalize_1_57,plain,
( ~ definitionFOFtoCNF_7
<=> ( ( op(e2,e4) != e2
& op(e2,e2) = e4
& op(e4,e4) = e2 )
| ( op(e3,e2) != e3
& op(e2,e2) = e3
& op(e3,e3) = e2 ) ) ),
inference(canonicalize,[],[definition_41]) ).
fof(normalize_1_58,plain,
( ~ definitionFOFtoCNF_6
<=> ( ~ definitionFOFtoCNF_0
& definitionFOFtoCNF_7
& ( op(e0,e0) != e3
| op(e3,e3) != e0
| op(e3,e0) = e3 )
& ( op(e1,e1) != e3
| op(e3,e3) != e1
| op(e3,e1) = e3 )
& ( op(e2,e2) != e3
| op(e3,e3) != e2
| op(e2,e3) = e2 ) ) ),
inference(simplify,[],[normalize_1_56,normalize_1_57]) ).
fof(normalize_1_59,plain,
( ~ definitionFOFtoCNF_8
<=> ( op(e3,e0) != e3
& op(e0,e0) = e3
& op(e3,e3) = e0 ) ),
inference(canonicalize,[],[definition_42]) ).
fof(normalize_1_60,plain,
( ~ definitionFOFtoCNF_6
<=> ( ~ definitionFOFtoCNF_0
& definitionFOFtoCNF_7
& definitionFOFtoCNF_8
& ( op(e1,e1) != e3
| op(e3,e3) != e1
| op(e3,e1) = e3 )
& ( op(e2,e2) != e3
| op(e3,e3) != e2
| op(e2,e3) = e2 ) ) ),
inference(simplify,[],[normalize_1_58,normalize_1_59]) ).
fof(normalize_1_61,plain,
( definitionFOFtoCNF_6
| ( op(e3,e4) != e3
& op(e3,e3) = e4
& op(e4,e4) = e3 )
| ( op(e4,e0) != e4
& op(e0,e0) = e4
& op(e4,e4) = e0 )
| ( op(e4,e1) != e4
& op(e1,e1) = e4
& op(e4,e4) = e1 )
| ( op(e4,e2) != e4
& op(e2,e2) = e4
& op(e4,e4) = e2 )
| ( op(e4,e3) != e4
& op(e3,e3) = e4
& op(e4,e4) = e3 ) ),
inference(simplify,[],[normalize_1_55,normalize_1_60,normalize_1_57,normalize_1_59]) ).
fof(normalize_1_62,plain,
( ~ definitionFOFtoCNF_9
<=> ( ( op(e2,e2) != e4
| op(e4,e4) != e2
| op(e4,e2) = e4 )
& ( op(e3,e3) != e4
| op(e4,e4) != e3
| op(e4,e3) = e4 ) ) ),
inference(canonicalize,[],[definition_43]) ).
fof(normalize_1_63,plain,
( definitionFOFtoCNF_6
| definitionFOFtoCNF_9
| ( op(e3,e4) != e3
& op(e3,e3) = e4
& op(e4,e4) = e3 )
| ( op(e4,e0) != e4
& op(e0,e0) = e4
& op(e4,e4) = e0 )
| ( op(e4,e1) != e4
& op(e1,e1) = e4
& op(e4,e4) = e1 ) ),
inference(simplify,[],[normalize_1_61,normalize_1_62]) ).
fof(normalize_1_64,plain,
( ~ definitionFOFtoCNF_10
<=> ( op(e3,e3) != e4
| op(e4,e4) != e3
| op(e3,e4) = e3 ) ),
inference(canonicalize,[],[definition_2]) ).
fof(normalize_1_65,plain,
( definitionFOFtoCNF_10
| definitionFOFtoCNF_6
| definitionFOFtoCNF_9
| ( op(e4,e0) != e4
& op(e0,e0) = e4
& op(e4,e4) = e0 )
| ( op(e4,e1) != e4
& op(e1,e1) = e4
& op(e4,e4) = e1 ) ),
inference(simplify,[],[normalize_1_63,normalize_1_64]) ).
fof(normalize_1_66,plain,
( ( op(e4,e0) != e4
| op(e4,e1) != e4
| definitionFOFtoCNF_10
| definitionFOFtoCNF_6
| definitionFOFtoCNF_9 )
& ( op(e4,e0) != e4
| op(e1,e1) = e4
| definitionFOFtoCNF_10
| definitionFOFtoCNF_6
| definitionFOFtoCNF_9 )
& ( op(e4,e0) != e4
| op(e4,e4) = e1
| definitionFOFtoCNF_10
| definitionFOFtoCNF_6
| definitionFOFtoCNF_9 )
& ( op(e4,e1) != e4
| op(e0,e0) = e4
| definitionFOFtoCNF_10
| definitionFOFtoCNF_6
| definitionFOFtoCNF_9 )
& ( op(e4,e1) != e4
| op(e4,e4) = e0
| definitionFOFtoCNF_10
| definitionFOFtoCNF_6
| definitionFOFtoCNF_9 )
& ( op(e0,e0) = e4
| op(e1,e1) = e4
| definitionFOFtoCNF_10
| definitionFOFtoCNF_6
| definitionFOFtoCNF_9 )
& ( op(e0,e0) = e4
| op(e4,e4) = e1
| definitionFOFtoCNF_10
| definitionFOFtoCNF_6
| definitionFOFtoCNF_9 )
& ( op(e1,e1) = e4
| op(e4,e4) = e0
| definitionFOFtoCNF_10
| definitionFOFtoCNF_6
| definitionFOFtoCNF_9 )
& ( op(e4,e4) = e0
| op(e4,e4) = e1
| definitionFOFtoCNF_10
| definitionFOFtoCNF_6
| definitionFOFtoCNF_9 ) ),
inference(clausify,[],[normalize_1_65]) ).
fof(normalize_1_67,plain,
( op(e1,e1) = e4
| op(e4,e4) = e0
| definitionFOFtoCNF_10
| definitionFOFtoCNF_6
| definitionFOFtoCNF_9 ),
inference(conjunct,[],[normalize_1_66]) ).
fof(normalize_1_68,plain,
( ( op(e3,e4) != e3
| ~ definitionFOFtoCNF_10 )
& ( ~ definitionFOFtoCNF_10
| op(e3,e3) = e4 )
& ( ~ definitionFOFtoCNF_10
| op(e4,e4) = e3 )
& ( op(e3,e3) != e4
| op(e4,e4) != e3
| op(e3,e4) = e3
| definitionFOFtoCNF_10 ) ),
inference(clausify,[],[normalize_1_64]) ).
fof(normalize_1_69,plain,
( ~ definitionFOFtoCNF_10
| op(e4,e4) = e3 ),
inference(conjunct,[],[normalize_1_68]) ).
fof(normalize_1_70,plain,
( ( op(e4,e2) != e4
| op(e4,e3) != e4
| ~ definitionFOFtoCNF_9 )
& ( op(e4,e2) != e4
| ~ definitionFOFtoCNF_9
| op(e3,e3) = e4 )
& ( op(e4,e2) != e4
| ~ definitionFOFtoCNF_9
| op(e4,e4) = e3 )
& ( op(e4,e3) != e4
| ~ definitionFOFtoCNF_9
| op(e2,e2) = e4 )
& ( op(e4,e3) != e4
| ~ definitionFOFtoCNF_9
| op(e4,e4) = e2 )
& ( ~ definitionFOFtoCNF_9
| op(e2,e2) = e4
| op(e3,e3) = e4 )
& ( ~ definitionFOFtoCNF_9
| op(e2,e2) = e4
| op(e4,e4) = e3 )
& ( ~ definitionFOFtoCNF_9
| op(e3,e3) = e4
| op(e4,e4) = e2 )
& ( ~ definitionFOFtoCNF_9
| op(e4,e4) = e2
| op(e4,e4) = e3 )
& ( op(e2,e2) != e4
| op(e4,e4) != e2
| op(e4,e2) = e4
| definitionFOFtoCNF_9 )
& ( op(e3,e3) != e4
| op(e4,e4) != e3
| op(e4,e3) = e4
| definitionFOFtoCNF_9 ) ),
inference(clausify,[],[normalize_1_62]) ).
fof(normalize_1_71,plain,
( ~ definitionFOFtoCNF_9
| op(e4,e4) = e2
| op(e4,e4) = e3 ),
inference(conjunct,[],[normalize_1_70]) ).
fof(normalize_1_72,plain,
( ( ~ definitionFOFtoCNF_0
| definitionFOFtoCNF_6 )
& ( definitionFOFtoCNF_6
| definitionFOFtoCNF_7 )
& ( definitionFOFtoCNF_6
| definitionFOFtoCNF_8 )
& ( op(e1,e1) != e3
| op(e3,e3) != e1
| op(e3,e1) = e3
| definitionFOFtoCNF_6 )
& ( op(e2,e2) != e3
| op(e3,e3) != e2
| op(e2,e3) = e2
| definitionFOFtoCNF_6 )
& ( op(e2,e3) != e2
| op(e3,e1) != e3
| ~ definitionFOFtoCNF_6
| ~ definitionFOFtoCNF_7
| ~ definitionFOFtoCNF_8
| definitionFOFtoCNF_0 )
& ( op(e2,e3) != e2
| ~ definitionFOFtoCNF_6
| ~ definitionFOFtoCNF_7
| ~ definitionFOFtoCNF_8
| op(e1,e1) = e3
| definitionFOFtoCNF_0 )
& ( op(e2,e3) != e2
| ~ definitionFOFtoCNF_6
| ~ definitionFOFtoCNF_7
| ~ definitionFOFtoCNF_8
| op(e3,e3) = e1
| definitionFOFtoCNF_0 )
& ( op(e3,e1) != e3
| ~ definitionFOFtoCNF_6
| ~ definitionFOFtoCNF_7
| ~ definitionFOFtoCNF_8
| op(e2,e2) = e3
| definitionFOFtoCNF_0 )
& ( op(e3,e1) != e3
| ~ definitionFOFtoCNF_6
| ~ definitionFOFtoCNF_7
| ~ definitionFOFtoCNF_8
| op(e3,e3) = e2
| definitionFOFtoCNF_0 )
& ( ~ definitionFOFtoCNF_6
| ~ definitionFOFtoCNF_7
| ~ definitionFOFtoCNF_8
| op(e1,e1) = e3
| op(e2,e2) = e3
| definitionFOFtoCNF_0 )
& ( ~ definitionFOFtoCNF_6
| ~ definitionFOFtoCNF_7
| ~ definitionFOFtoCNF_8
| op(e1,e1) = e3
| op(e3,e3) = e2
| definitionFOFtoCNF_0 )
& ( ~ definitionFOFtoCNF_6
| ~ definitionFOFtoCNF_7
| ~ definitionFOFtoCNF_8
| op(e2,e2) = e3
| op(e3,e3) = e1
| definitionFOFtoCNF_0 )
& ( ~ definitionFOFtoCNF_6
| ~ definitionFOFtoCNF_7
| ~ definitionFOFtoCNF_8
| op(e3,e3) = e1
| op(e3,e3) = e2
| definitionFOFtoCNF_0 ) ),
inference(clausify,[],[normalize_1_60]) ).
fof(normalize_1_73,plain,
( ~ definitionFOFtoCNF_6
| ~ definitionFOFtoCNF_7
| ~ definitionFOFtoCNF_8
| op(e1,e1) = e3
| op(e3,e3) = e2
| definitionFOFtoCNF_0 ),
inference(conjunct,[],[normalize_1_72]) ).
fof(normalize_1_74,plain,
( ( op(e2,e4) != e2
| op(e3,e2) != e3
| definitionFOFtoCNF_7 )
& ( op(e2,e4) != e2
| op(e2,e2) = e3
| definitionFOFtoCNF_7 )
& ( op(e2,e4) != e2
| op(e3,e3) = e2
| definitionFOFtoCNF_7 )
& ( op(e3,e2) != e3
| op(e2,e2) = e4
| definitionFOFtoCNF_7 )
& ( op(e3,e2) != e3
| op(e4,e4) = e2
| definitionFOFtoCNF_7 )
& ( op(e2,e2) = e3
| op(e2,e2) = e4
| definitionFOFtoCNF_7 )
& ( op(e2,e2) = e3
| op(e4,e4) = e2
| definitionFOFtoCNF_7 )
& ( op(e2,e2) = e4
| op(e3,e3) = e2
| definitionFOFtoCNF_7 )
& ( op(e3,e3) = e2
| op(e4,e4) = e2
| definitionFOFtoCNF_7 )
& ( op(e2,e2) != e3
| op(e3,e3) != e2
| ~ definitionFOFtoCNF_7
| op(e3,e2) = e3 )
& ( op(e2,e2) != e4
| op(e4,e4) != e2
| ~ definitionFOFtoCNF_7
| op(e2,e4) = e2 ) ),
inference(clausify,[],[normalize_1_57]) ).
fof(normalize_1_75,plain,
( op(e3,e3) = e2
| op(e4,e4) = e2
| definitionFOFtoCNF_7 ),
inference(conjunct,[],[normalize_1_74]) ).
fof(normalize_1_76,plain,
op(e3,e3) != op(e3,e4),
inference(conjunct,[],[normalize_1_16]) ).
fof(normalize_1_77,plain,
op(e0,e3) != op(e3,e3),
inference(conjunct,[],[normalize_1_16]) ).
fof(normalize_1_78,plain,
( ( op(e3,e0) != e3
| definitionFOFtoCNF_8 )
& ( op(e0,e0) = e3
| definitionFOFtoCNF_8 )
& ( op(e3,e3) = e0
| definitionFOFtoCNF_8 )
& ( op(e0,e0) != e3
| op(e3,e3) != e0
| ~ definitionFOFtoCNF_8
| op(e3,e0) = e3 ) ),
inference(clausify,[],[normalize_1_59]) ).
fof(normalize_1_79,plain,
( op(e3,e3) = e0
| definitionFOFtoCNF_8 ),
inference(conjunct,[],[normalize_1_78]) ).
fof(normalize_1_80,plain,
( definitionFOFtoCNF_0
| definitionFOFtoCNF_1 ),
inference(conjunct,[],[normalize_1_47]) ).
fof(normalize_1_81,plain,
( ( ~ definitionFOFtoCNF_1
| definitionFOFtoCNF_2 )
& ( ~ definitionFOFtoCNF_1
| definitionFOFtoCNF_3 )
& ( op(e0,e0) != e2
| op(e2,e2) != e0
| ~ definitionFOFtoCNF_1
| op(e2,e0) = e2 )
& ( op(e0,e0) != e3
| op(e3,e3) != e0
| ~ definitionFOFtoCNF_1
| op(e0,e3) = e0 )
& ( op(e0,e3) != e0
| op(e2,e0) != e2
| ~ definitionFOFtoCNF_2
| ~ definitionFOFtoCNF_3
| definitionFOFtoCNF_1 )
& ( op(e0,e3) != e0
| ~ definitionFOFtoCNF_2
| ~ definitionFOFtoCNF_3
| op(e0,e0) = e2
| definitionFOFtoCNF_1 )
& ( op(e0,e3) != e0
| ~ definitionFOFtoCNF_2
| ~ definitionFOFtoCNF_3
| op(e2,e2) = e0
| definitionFOFtoCNF_1 )
& ( op(e2,e0) != e2
| ~ definitionFOFtoCNF_2
| ~ definitionFOFtoCNF_3
| op(e0,e0) = e3
| definitionFOFtoCNF_1 )
& ( op(e2,e0) != e2
| ~ definitionFOFtoCNF_2
| ~ definitionFOFtoCNF_3
| op(e3,e3) = e0
| definitionFOFtoCNF_1 )
& ( ~ definitionFOFtoCNF_2
| ~ definitionFOFtoCNF_3
| op(e0,e0) = e2
| op(e0,e0) = e3
| definitionFOFtoCNF_1 )
& ( ~ definitionFOFtoCNF_2
| ~ definitionFOFtoCNF_3
| op(e0,e0) = e2
| op(e3,e3) = e0
| definitionFOFtoCNF_1 )
& ( ~ definitionFOFtoCNF_2
| ~ definitionFOFtoCNF_3
| op(e0,e0) = e3
| op(e2,e2) = e0
| definitionFOFtoCNF_1 )
& ( ~ definitionFOFtoCNF_2
| ~ definitionFOFtoCNF_3
| op(e2,e2) = e0
| op(e3,e3) = e0
| definitionFOFtoCNF_1 ) ),
inference(clausify,[],[normalize_1_42]) ).
fof(normalize_1_82,plain,
( op(e0,e0) != e3
| op(e3,e3) != e0
| ~ definitionFOFtoCNF_1
| op(e0,e3) = e0 ),
inference(conjunct,[],[normalize_1_81]) ).
fof(normalize_1_83,plain,
( op(e0,e0) = e3
| definitionFOFtoCNF_8 ),
inference(conjunct,[],[normalize_1_78]) ).
fof(normalize_1_84,plain,
( ~ definitionFOFtoCNF_2
| ~ definitionFOFtoCNF_3
| op(e2,e2) = e0
| op(e3,e3) = e0
| definitionFOFtoCNF_1 ),
inference(conjunct,[],[normalize_1_81]) ).
fof(normalize_1_85,plain,
( ( op(e0,e0) = e1
| definitionFOFtoCNF_2 )
& ( op(e1,e1) = e0
| definitionFOFtoCNF_2 )
& ( op(e0,e1) != e0
| op(e1,e0) != e1
| definitionFOFtoCNF_2 )
& ( op(e0,e1) != e0
| op(e0,e0) = e1
| definitionFOFtoCNF_2 )
& ( op(e0,e1) != e0
| op(e1,e1) = e0
| definitionFOFtoCNF_2 )
& ( op(e1,e0) != e1
| op(e0,e0) = e1
| definitionFOFtoCNF_2 )
& ( op(e1,e0) != e1
| op(e1,e1) = e0
| definitionFOFtoCNF_2 )
& ( op(e0,e0) = e1
| op(e1,e1) = e0
| definitionFOFtoCNF_2 )
& ( op(e0,e0) != e1
| op(e1,e1) != e0
| ~ definitionFOFtoCNF_2
| op(e0,e1) = e0 )
& ( op(e0,e0) != e1
| op(e1,e1) != e0
| ~ definitionFOFtoCNF_2
| op(e1,e0) = e1 ) ),
inference(clausify,[],[normalize_1_39]) ).
fof(normalize_1_86,plain,
( op(e1,e1) = e0
| definitionFOFtoCNF_2 ),
inference(conjunct,[],[normalize_1_85]) ).
fof(normalize_1_87,plain,
( ( op(e0,e2) != e0
| definitionFOFtoCNF_3 )
& ( op(e0,e0) = e2
| definitionFOFtoCNF_3 )
& ( op(e2,e2) = e0
| definitionFOFtoCNF_3 )
& ( op(e0,e0) != e2
| op(e2,e2) != e0
| ~ definitionFOFtoCNF_3
| op(e0,e2) = e0 ) ),
inference(clausify,[],[normalize_1_41]) ).
fof(normalize_1_88,plain,
( op(e0,e2) != e0
| definitionFOFtoCNF_3 ),
inference(conjunct,[],[normalize_1_87]) ).
fof(normalize_1_89,plain,
op(e0,unit) = e0,
inference(conjunct,[],[normalize_1_0]) ).
fof(normalize_1_90,plain,
op(e3,e3) != op(e4,e3),
inference(conjunct,[],[normalize_1_16]) ).
cnf(refute_1_0,plain,
op(e4,unit) = e4,
inference(canonicalize,[],[normalize_1_1]) ).
cnf(refute_1_1,plain,
op(op(e0,e1),e1) = e0,
inference(canonicalize,[],[normalize_1_3]) ).
cnf(refute_1_2,plain,
op(unit,e1) = e1,
inference(canonicalize,[],[normalize_1_4]) ).
cnf(refute_1_3,plain,
op(unit,e4) = e4,
inference(canonicalize,[],[normalize_1_5]) ).
cnf(refute_1_4,plain,
( unit = e0
| unit = e1
| unit = e2
| unit = e3
| unit = e4 ),
inference(canonicalize,[],[normalize_1_6]) ).
cnf(refute_1_5,plain,
( op(unit,e4) != e4
| unit != e4
| op(e4,e4) = e4 ),
introduced(tautology,[equality,[$cnf( $equal(op(unit,e4),e4) ),[0,0],$fot(e4)]]) ).
cnf(refute_1_6,plain,
( op(unit,e4) != e4
| op(e4,e4) = e4
| unit = e0
| unit = e1
| unit = e2
| unit = e3 ),
inference(resolve,[$cnf( $equal(unit,e4) )],[refute_1_4,refute_1_5]) ).
cnf(refute_1_7,plain,
( op(e4,e4) = e4
| unit = e0
| unit = e1
| unit = e2
| unit = e3 ),
inference(resolve,[$cnf( $equal(op(unit,e4),e4) )],[refute_1_3,refute_1_6]) ).
cnf(refute_1_8,plain,
e1 = op(e4,e4),
inference(canonicalize,[],[normalize_1_8]) ).
cnf(refute_1_9,plain,
X = X,
introduced(tautology,[refl,[$fot(X)]]) ).
cnf(refute_1_10,plain,
( X != X
| X != Y
| Y = X ),
introduced(tautology,[equality,[$cnf( $equal(X,X) ),[0],$fot(Y)]]) ).
cnf(refute_1_11,plain,
( X != Y
| Y = X ),
inference(resolve,[$cnf( $equal(X,X) )],[refute_1_9,refute_1_10]) ).
cnf(refute_1_12,plain,
( e1 != op(e4,e4)
| op(e4,e4) = e1 ),
inference(subst,[],[refute_1_11:[bind(X,$fot(e1)),bind(Y,$fot(op(e4,e4)))]]) ).
cnf(refute_1_13,plain,
op(e4,e4) = e1,
inference(resolve,[$cnf( $equal(e1,op(e4,e4)) )],[refute_1_8,refute_1_12]) ).
cnf(refute_1_14,plain,
( op(e4,e4) != e1
| op(e4,e4) != e4
| e1 = e4 ),
introduced(tautology,[equality,[$cnf( $equal(op(e4,e4),e4) ),[0],$fot(e1)]]) ).
cnf(refute_1_15,plain,
( op(e4,e4) != e4
| e1 = e4 ),
inference(resolve,[$cnf( $equal(op(e4,e4),e1) )],[refute_1_13,refute_1_14]) ).
cnf(refute_1_16,plain,
( e1 = e4
| unit = e0
| unit = e1
| unit = e2
| unit = e3 ),
inference(resolve,[$cnf( $equal(op(e4,e4),e4) )],[refute_1_7,refute_1_15]) ).
cnf(refute_1_17,plain,
e1 != e4,
inference(canonicalize,[],[normalize_1_10]) ).
cnf(refute_1_18,plain,
( unit = e0
| unit = e1
| unit = e2
| unit = e3 ),
inference(resolve,[$cnf( $equal(e1,e4) )],[refute_1_16,refute_1_17]) ).
cnf(refute_1_19,plain,
( op(unit,e4) != e4
| unit != e1
| op(e1,e4) = e4 ),
introduced(tautology,[equality,[$cnf( $equal(op(unit,e4),e4) ),[0,0],$fot(e1)]]) ).
cnf(refute_1_20,plain,
( op(unit,e4) != e4
| op(e1,e4) = e4
| unit = e0
| unit = e2
| unit = e3 ),
inference(resolve,[$cnf( $equal(unit,e1) )],[refute_1_18,refute_1_19]) ).
cnf(refute_1_21,plain,
( op(e1,e4) = e4
| unit = e0
| unit = e2
| unit = e3 ),
inference(resolve,[$cnf( $equal(op(unit,e4),e4) )],[refute_1_3,refute_1_20]) ).
cnf(refute_1_22,plain,
e0 = op(op(e4,e4),e4),
inference(canonicalize,[],[normalize_1_11]) ).
cnf(refute_1_23,plain,
op(op(e4,e4),e4) = op(op(e4,e4),e4),
introduced(tautology,[refl,[$fot(op(op(e4,e4),e4))]]) ).
cnf(refute_1_24,plain,
( op(e4,e4) != e1
| op(op(e4,e4),e4) != op(op(e4,e4),e4)
| op(op(e4,e4),e4) = op(e1,e4) ),
introduced(tautology,[equality,[$cnf( $equal(op(op(e4,e4),e4),op(op(e4,e4),e4)) ),[1,0],$fot(e1)]]) ).
cnf(refute_1_25,plain,
( op(e4,e4) != e1
| op(op(e4,e4),e4) = op(e1,e4) ),
inference(resolve,[$cnf( $equal(op(op(e4,e4),e4),op(op(e4,e4),e4)) )],[refute_1_23,refute_1_24]) ).
cnf(refute_1_26,plain,
op(op(e4,e4),e4) = op(e1,e4),
inference(resolve,[$cnf( $equal(op(e4,e4),e1) )],[refute_1_13,refute_1_25]) ).
cnf(refute_1_27,plain,
( e0 != op(op(e4,e4),e4)
| op(op(e4,e4),e4) != op(e1,e4)
| e0 = op(e1,e4) ),
introduced(tautology,[equality,[$cnf( ~ $equal(e0,op(e1,e4)) ),[0],$fot(op(op(e4,e4),e4))]]) ).
cnf(refute_1_28,plain,
( e0 != op(op(e4,e4),e4)
| e0 = op(e1,e4) ),
inference(resolve,[$cnf( $equal(op(op(e4,e4),e4),op(e1,e4)) )],[refute_1_26,refute_1_27]) ).
cnf(refute_1_29,plain,
e0 = op(e1,e4),
inference(resolve,[$cnf( $equal(e0,op(op(e4,e4),e4)) )],[refute_1_22,refute_1_28]) ).
cnf(refute_1_30,plain,
( e0 != op(e1,e4)
| op(e1,e4) = e0 ),
inference(subst,[],[refute_1_11:[bind(X,$fot(e0)),bind(Y,$fot(op(e1,e4)))]]) ).
cnf(refute_1_31,plain,
op(e1,e4) = e0,
inference(resolve,[$cnf( $equal(e0,op(e1,e4)) )],[refute_1_29,refute_1_30]) ).
cnf(refute_1_32,plain,
( op(e1,e4) != e0
| op(e1,e4) != e4
| e0 = e4 ),
introduced(tautology,[equality,[$cnf( $equal(op(e1,e4),e4) ),[0],$fot(e0)]]) ).
cnf(refute_1_33,plain,
( op(e1,e4) != e4
| e0 = e4 ),
inference(resolve,[$cnf( $equal(op(e1,e4),e0) )],[refute_1_31,refute_1_32]) ).
cnf(refute_1_34,plain,
( e0 = e4
| unit = e0
| unit = e2
| unit = e3 ),
inference(resolve,[$cnf( $equal(op(e1,e4),e4) )],[refute_1_21,refute_1_33]) ).
cnf(refute_1_35,plain,
e0 != e4,
inference(canonicalize,[],[normalize_1_12]) ).
cnf(refute_1_36,plain,
( unit = e0
| unit = e2
| unit = e3 ),
inference(resolve,[$cnf( $equal(e0,e4) )],[refute_1_34,refute_1_35]) ).
cnf(refute_1_37,plain,
( op(unit,e4) != e4
| unit != e3
| op(e3,e4) = e4 ),
introduced(tautology,[equality,[$cnf( $equal(op(unit,e4),e4) ),[0,0],$fot(e3)]]) ).
cnf(refute_1_38,plain,
( op(unit,e4) != e4
| op(e3,e4) = e4
| unit = e0
| unit = e2 ),
inference(resolve,[$cnf( $equal(unit,e3) )],[refute_1_36,refute_1_37]) ).
cnf(refute_1_39,plain,
( op(e3,e4) = e4
| unit = e0
| unit = e2 ),
inference(resolve,[$cnf( $equal(op(unit,e4),e4) )],[refute_1_3,refute_1_38]) ).
cnf(refute_1_40,plain,
e2 = op(op(e4,op(e4,e4)),e4),
inference(canonicalize,[],[normalize_1_13]) ).
cnf(refute_1_41,plain,
op(e4,op(e4,e4)) = op(e4,op(e4,e4)),
introduced(tautology,[refl,[$fot(op(e4,op(e4,e4)))]]) ).
cnf(refute_1_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_1_43,plain,
( op(e4,e4) != e1
| op(e4,op(e4,e4)) = op(e4,e1) ),
inference(resolve,[$cnf( $equal(op(e4,op(e4,e4)),op(e4,op(e4,e4))) )],[refute_1_41,refute_1_42]) ).
cnf(refute_1_44,plain,
op(e4,op(e4,e4)) = op(e4,e1),
inference(resolve,[$cnf( $equal(op(e4,e4),e1) )],[refute_1_13,refute_1_43]) ).
cnf(refute_1_45,plain,
op(op(e4,op(e4,e4)),e4) = op(op(e4,op(e4,e4)),e4),
introduced(tautology,[refl,[$fot(op(op(e4,op(e4,e4)),e4))]]) ).
cnf(refute_1_46,plain,
( op(e4,op(e4,e4)) != op(e4,e1)
| op(op(e4,op(e4,e4)),e4) != op(op(e4,op(e4,e4)),e4)
| op(op(e4,op(e4,e4)),e4) = op(op(e4,e1),e4) ),
introduced(tautology,[equality,[$cnf( $equal(op(op(e4,op(e4,e4)),e4),op(op(e4,op(e4,e4)),e4)) ),[1,0],$fot(op(e4,e1))]]) ).
cnf(refute_1_47,plain,
( op(e4,op(e4,e4)) != op(e4,e1)
| op(op(e4,op(e4,e4)),e4) = op(op(e4,e1),e4) ),
inference(resolve,[$cnf( $equal(op(op(e4,op(e4,e4)),e4),op(op(e4,op(e4,e4)),e4)) )],[refute_1_45,refute_1_46]) ).
cnf(refute_1_48,plain,
op(op(e4,op(e4,e4)),e4) = op(op(e4,e1),e4),
inference(resolve,[$cnf( $equal(op(e4,op(e4,e4)),op(e4,e1)) )],[refute_1_44,refute_1_47]) ).
cnf(refute_1_49,plain,
( e2 != op(op(e4,op(e4,e4)),e4)
| op(op(e4,op(e4,e4)),e4) != op(op(e4,e1),e4)
| e2 = op(op(e4,e1),e4) ),
introduced(tautology,[equality,[$cnf( ~ $equal(e2,op(op(e4,e1),e4)) ),[0],$fot(op(op(e4,op(e4,e4)),e4))]]) ).
cnf(refute_1_50,plain,
( e2 != op(op(e4,op(e4,e4)),e4)
| e2 = op(op(e4,e1),e4) ),
inference(resolve,[$cnf( $equal(op(op(e4,op(e4,e4)),e4),op(op(e4,e1),e4)) )],[refute_1_48,refute_1_49]) ).
cnf(refute_1_51,plain,
e2 = op(op(e4,e1),e4),
inference(resolve,[$cnf( $equal(e2,op(op(e4,op(e4,e4)),e4)) )],[refute_1_40,refute_1_50]) ).
cnf(refute_1_52,plain,
e3 = op(e4,op(e4,e4)),
inference(canonicalize,[],[normalize_1_14]) ).
cnf(refute_1_53,plain,
( e3 != op(e4,op(e4,e4))
| op(e4,op(e4,e4)) != op(e4,e1)
| e3 = op(e4,e1) ),
introduced(tautology,[equality,[$cnf( ~ $equal(e3,op(e4,e1)) ),[0],$fot(op(e4,op(e4,e4)))]]) ).
cnf(refute_1_54,plain,
( e3 != op(e4,op(e4,e4))
| e3 = op(e4,e1) ),
inference(resolve,[$cnf( $equal(op(e4,op(e4,e4)),op(e4,e1)) )],[refute_1_44,refute_1_53]) ).
cnf(refute_1_55,plain,
e3 = op(e4,e1),
inference(resolve,[$cnf( $equal(e3,op(e4,op(e4,e4))) )],[refute_1_52,refute_1_54]) ).
cnf(refute_1_56,plain,
( e3 != op(e4,e1)
| op(e4,e1) = e3 ),
inference(subst,[],[refute_1_11:[bind(X,$fot(e3)),bind(Y,$fot(op(e4,e1)))]]) ).
cnf(refute_1_57,plain,
op(e4,e1) = e3,
inference(resolve,[$cnf( $equal(e3,op(e4,e1)) )],[refute_1_55,refute_1_56]) ).
cnf(refute_1_58,plain,
op(op(e4,e1),e4) = op(op(e4,e1),e4),
introduced(tautology,[refl,[$fot(op(op(e4,e1),e4))]]) ).
cnf(refute_1_59,plain,
( op(e4,e1) != e3
| op(op(e4,e1),e4) != op(op(e4,e1),e4)
| op(op(e4,e1),e4) = op(e3,e4) ),
introduced(tautology,[equality,[$cnf( $equal(op(op(e4,e1),e4),op(op(e4,e1),e4)) ),[1,0],$fot(e3)]]) ).
cnf(refute_1_60,plain,
( op(e4,e1) != e3
| op(op(e4,e1),e4) = op(e3,e4) ),
inference(resolve,[$cnf( $equal(op(op(e4,e1),e4),op(op(e4,e1),e4)) )],[refute_1_58,refute_1_59]) ).
cnf(refute_1_61,plain,
op(op(e4,e1),e4) = op(e3,e4),
inference(resolve,[$cnf( $equal(op(e4,e1),e3) )],[refute_1_57,refute_1_60]) ).
cnf(refute_1_62,plain,
( e2 != op(op(e4,e1),e4)
| op(op(e4,e1),e4) != op(e3,e4)
| e2 = op(e3,e4) ),
introduced(tautology,[equality,[$cnf( ~ $equal(e2,op(e3,e4)) ),[0],$fot(op(op(e4,e1),e4))]]) ).
cnf(refute_1_63,plain,
( e2 != op(op(e4,e1),e4)
| e2 = op(e3,e4) ),
inference(resolve,[$cnf( $equal(op(op(e4,e1),e4),op(e3,e4)) )],[refute_1_61,refute_1_62]) ).
cnf(refute_1_64,plain,
e2 = op(e3,e4),
inference(resolve,[$cnf( $equal(e2,op(op(e4,e1),e4)) )],[refute_1_51,refute_1_63]) ).
cnf(refute_1_65,plain,
( e2 != op(e3,e4)
| op(e3,e4) = e2 ),
inference(subst,[],[refute_1_11:[bind(X,$fot(e2)),bind(Y,$fot(op(e3,e4)))]]) ).
cnf(refute_1_66,plain,
op(e3,e4) = e2,
inference(resolve,[$cnf( $equal(e2,op(e3,e4)) )],[refute_1_64,refute_1_65]) ).
cnf(refute_1_67,plain,
( op(e3,e4) != e2
| op(e3,e4) != e4
| e2 = e4 ),
introduced(tautology,[equality,[$cnf( $equal(op(e3,e4),e4) ),[0],$fot(e2)]]) ).
cnf(refute_1_68,plain,
( op(e3,e4) != e4
| e2 = e4 ),
inference(resolve,[$cnf( $equal(op(e3,e4),e2) )],[refute_1_66,refute_1_67]) ).
cnf(refute_1_69,plain,
( e2 = e4
| unit = e0
| unit = e2 ),
inference(resolve,[$cnf( $equal(op(e3,e4),e4) )],[refute_1_39,refute_1_68]) ).
cnf(refute_1_70,plain,
e2 != e4,
inference(canonicalize,[],[normalize_1_15]) ).
cnf(refute_1_71,plain,
( unit = e0
| unit = e2 ),
inference(resolve,[$cnf( $equal(e2,e4) )],[refute_1_69,refute_1_70]) ).
cnf(refute_1_72,plain,
( op(unit,e1) != e1
| unit != e0
| op(e0,e1) = e1 ),
introduced(tautology,[equality,[$cnf( $equal(op(unit,e1),e1) ),[0,0],$fot(e0)]]) ).
cnf(refute_1_73,plain,
( op(unit,e1) != e1
| op(e0,e1) = e1
| unit = e2 ),
inference(resolve,[$cnf( $equal(unit,e0) )],[refute_1_71,refute_1_72]) ).
cnf(refute_1_74,plain,
( op(e0,e1) = e1
| unit = e2 ),
inference(resolve,[$cnf( $equal(op(unit,e1),e1) )],[refute_1_2,refute_1_73]) ).
cnf(refute_1_75,plain,
( op(e0,e1) != e1
| op(op(e0,e1),e1) != e0
| op(e1,e1) = e0 ),
introduced(tautology,[equality,[$cnf( $equal(op(op(e0,e1),e1),e0) ),[0,0],$fot(e1)]]) ).
cnf(refute_1_76,plain,
( op(op(e0,e1),e1) != e0
| op(e1,e1) = e0
| unit = e2 ),
inference(resolve,[$cnf( $equal(op(e0,e1),e1) )],[refute_1_74,refute_1_75]) ).
cnf(refute_1_77,plain,
( op(e1,e1) = e0
| unit = e2 ),
inference(resolve,[$cnf( $equal(op(op(e0,e1),e1),e0) )],[refute_1_1,refute_1_76]) ).
cnf(refute_1_78,plain,
op(e1,e1) != op(e1,e4),
inference(canonicalize,[],[normalize_1_17]) ).
cnf(refute_1_79,plain,
( op(e1,e1) != e0
| op(e1,e4) != e0
| op(e1,e1) = op(e1,e4) ),
introduced(tautology,[equality,[$cnf( ~ $equal(op(e1,e1),op(e1,e4)) ),[1],$fot(e0)]]) ).
cnf(refute_1_80,plain,
( op(e1,e1) != e0
| op(e1,e1) = op(e1,e4) ),
inference(resolve,[$cnf( $equal(op(e1,e4),e0) )],[refute_1_31,refute_1_79]) ).
cnf(refute_1_81,plain,
op(e1,e1) != e0,
inference(resolve,[$cnf( $equal(op(e1,e1),op(e1,e4)) )],[refute_1_80,refute_1_78]) ).
cnf(refute_1_82,plain,
unit = e2,
inference(resolve,[$cnf( $equal(op(e1,e1),e0) )],[refute_1_77,refute_1_81]) ).
cnf(refute_1_83,plain,
op(e4,unit) = op(e4,unit),
introduced(tautology,[refl,[$fot(op(e4,unit))]]) ).
cnf(refute_1_84,plain,
( op(e4,unit) != op(e4,unit)
| unit != e2
| op(e4,unit) = op(e4,e2) ),
introduced(tautology,[equality,[$cnf( $equal(op(e4,unit),op(e4,unit)) ),[1,1],$fot(e2)]]) ).
cnf(refute_1_85,plain,
( unit != e2
| op(e4,unit) = op(e4,e2) ),
inference(resolve,[$cnf( $equal(op(e4,unit),op(e4,unit)) )],[refute_1_83,refute_1_84]) ).
cnf(refute_1_86,plain,
op(e4,unit) = op(e4,e2),
inference(resolve,[$cnf( $equal(unit,e2) )],[refute_1_82,refute_1_85]) ).
cnf(refute_1_87,plain,
( op(e4,unit) != e4
| op(e4,unit) != op(e4,e2)
| op(e4,e2) = e4 ),
introduced(tautology,[equality,[$cnf( $equal(op(e4,unit),e4) ),[0],$fot(op(e4,e2))]]) ).
cnf(refute_1_88,plain,
( op(e4,unit) != e4
| op(e4,e2) = e4 ),
inference(resolve,[$cnf( $equal(op(e4,unit),op(e4,e2)) )],[refute_1_86,refute_1_87]) ).
cnf(refute_1_89,plain,
op(e4,e2) = e4,
inference(resolve,[$cnf( $equal(op(e4,unit),e4) )],[refute_1_0,refute_1_88]) ).
cnf(refute_1_90,plain,
( op(e4,e0) = e0
| op(e4,e1) = e0
| op(e4,e2) = e0
| op(e4,e3) = e0
| op(e4,e4) = e0 ),
inference(canonicalize,[],[normalize_1_19]) ).
cnf(refute_1_91,plain,
( op(e4,e1) != e0
| op(e4,e1) != e3
| e3 = e0 ),
introduced(tautology,[equality,[$cnf( $equal(op(e4,e1),e0) ),[0],$fot(e3)]]) ).
cnf(refute_1_92,plain,
( op(e4,e1) != e0
| e3 = e0 ),
inference(resolve,[$cnf( $equal(op(e4,e1),e3) )],[refute_1_57,refute_1_91]) ).
cnf(refute_1_93,plain,
( e3 = e0
| op(e4,e0) = e0
| op(e4,e2) = e0
| op(e4,e3) = e0
| op(e4,e4) = e0 ),
inference(resolve,[$cnf( $equal(op(e4,e1),e0) )],[refute_1_90,refute_1_92]) ).
cnf(refute_1_94,plain,
( op(e4,e4) != e0
| op(e4,e4) != e1
| e1 = e0 ),
introduced(tautology,[equality,[$cnf( $equal(op(e4,e4),e0) ),[0],$fot(e1)]]) ).
cnf(refute_1_95,plain,
( op(e4,e4) != e0
| e1 = e0 ),
inference(resolve,[$cnf( $equal(op(e4,e4),e1) )],[refute_1_13,refute_1_94]) ).
cnf(refute_1_96,plain,
( e1 = e0
| e3 = e0
| op(e4,e0) = e0
| op(e4,e2) = e0
| op(e4,e3) = e0 ),
inference(resolve,[$cnf( $equal(op(e4,e4),e0) )],[refute_1_93,refute_1_95]) ).
cnf(refute_1_97,plain,
e0 != e1,
inference(canonicalize,[],[normalize_1_20]) ).
cnf(refute_1_98,plain,
( e1 != e0
| e0 = e1 ),
inference(subst,[],[refute_1_11:[bind(X,$fot(e1)),bind(Y,$fot(e0))]]) ).
cnf(refute_1_99,plain,
e1 != e0,
inference(resolve,[$cnf( $equal(e0,e1) )],[refute_1_98,refute_1_97]) ).
cnf(refute_1_100,plain,
( e3 = e0
| op(e4,e0) = e0
| op(e4,e2) = e0
| op(e4,e3) = e0 ),
inference(resolve,[$cnf( $equal(e1,e0) )],[refute_1_96,refute_1_99]) ).
cnf(refute_1_101,plain,
e0 != e3,
inference(canonicalize,[],[normalize_1_21]) ).
cnf(refute_1_102,plain,
( e3 != e0
| e0 = e3 ),
inference(subst,[],[refute_1_11:[bind(X,$fot(e3)),bind(Y,$fot(e0))]]) ).
cnf(refute_1_103,plain,
e3 != e0,
inference(resolve,[$cnf( $equal(e0,e3) )],[refute_1_102,refute_1_101]) ).
cnf(refute_1_104,plain,
( op(e4,e0) = e0
| op(e4,e2) = e0
| op(e4,e3) = e0 ),
inference(resolve,[$cnf( $equal(e3,e0) )],[refute_1_100,refute_1_103]) ).
cnf(refute_1_105,plain,
( op(e4,e2) != e0
| op(e4,e2) != e4
| e4 = e0 ),
introduced(tautology,[equality,[$cnf( $equal(op(e4,e2),e0) ),[0],$fot(e4)]]) ).
cnf(refute_1_106,plain,
( op(e4,e2) != e0
| e4 = e0 ),
inference(resolve,[$cnf( $equal(op(e4,e2),e4) )],[refute_1_89,refute_1_105]) ).
cnf(refute_1_107,plain,
( e4 = e0
| op(e4,e0) = e0
| op(e4,e3) = e0 ),
inference(resolve,[$cnf( $equal(op(e4,e2),e0) )],[refute_1_104,refute_1_106]) ).
cnf(refute_1_108,plain,
( e4 != e0
| e0 = e4 ),
inference(subst,[],[refute_1_11:[bind(X,$fot(e4)),bind(Y,$fot(e0))]]) ).
cnf(refute_1_109,plain,
e4 != e0,
inference(resolve,[$cnf( $equal(e0,e4) )],[refute_1_108,refute_1_35]) ).
cnf(refute_1_110,plain,
( op(e4,e0) = e0
| op(e4,e3) = e0 ),
inference(resolve,[$cnf( $equal(e4,e0) )],[refute_1_107,refute_1_109]) ).
cnf(refute_1_111,plain,
op(e2,e0) != op(e4,e0),
inference(canonicalize,[],[normalize_1_22]) ).
cnf(refute_1_112,plain,
op(unit,e0) = e0,
inference(canonicalize,[],[normalize_1_23]) ).
cnf(refute_1_113,plain,
op(unit,e0) = op(unit,e0),
introduced(tautology,[refl,[$fot(op(unit,e0))]]) ).
cnf(refute_1_114,plain,
( op(unit,e0) != op(unit,e0)
| unit != e2
| op(unit,e0) = op(e2,e0) ),
introduced(tautology,[equality,[$cnf( $equal(op(unit,e0),op(unit,e0)) ),[1,0],$fot(e2)]]) ).
cnf(refute_1_115,plain,
( unit != e2
| op(unit,e0) = op(e2,e0) ),
inference(resolve,[$cnf( $equal(op(unit,e0),op(unit,e0)) )],[refute_1_113,refute_1_114]) ).
cnf(refute_1_116,plain,
op(unit,e0) = op(e2,e0),
inference(resolve,[$cnf( $equal(unit,e2) )],[refute_1_82,refute_1_115]) ).
cnf(refute_1_117,plain,
( op(unit,e0) != e0
| op(unit,e0) != op(e2,e0)
| op(e2,e0) = e0 ),
introduced(tautology,[equality,[$cnf( $equal(op(unit,e0),e0) ),[0],$fot(op(e2,e0))]]) ).
cnf(refute_1_118,plain,
( op(unit,e0) != e0
| op(e2,e0) = e0 ),
inference(resolve,[$cnf( $equal(op(unit,e0),op(e2,e0)) )],[refute_1_116,refute_1_117]) ).
cnf(refute_1_119,plain,
op(e2,e0) = e0,
inference(resolve,[$cnf( $equal(op(unit,e0),e0) )],[refute_1_112,refute_1_118]) ).
cnf(refute_1_120,plain,
( e0 != op(e4,e0)
| op(e2,e0) != e0
| op(e2,e0) = op(e4,e0) ),
introduced(tautology,[equality,[$cnf( $equal(op(e2,e0),e0) ),[1],$fot(op(e4,e0))]]) ).
cnf(refute_1_121,plain,
( e0 != op(e4,e0)
| op(e2,e0) = op(e4,e0) ),
inference(resolve,[$cnf( $equal(op(e2,e0),e0) )],[refute_1_119,refute_1_120]) ).
cnf(refute_1_122,plain,
e0 != op(e4,e0),
inference(resolve,[$cnf( $equal(op(e2,e0),op(e4,e0)) )],[refute_1_121,refute_1_111]) ).
cnf(refute_1_123,plain,
( op(e4,e0) != e0
| e0 = op(e4,e0) ),
inference(subst,[],[refute_1_11:[bind(X,$fot(op(e4,e0))),bind(Y,$fot(e0))]]) ).
cnf(refute_1_124,plain,
op(e4,e0) != e0,
inference(resolve,[$cnf( $equal(e0,op(e4,e0)) )],[refute_1_123,refute_1_122]) ).
cnf(refute_1_125,plain,
op(e4,e3) = e0,
inference(resolve,[$cnf( $equal(op(e4,e0),e0) )],[refute_1_110,refute_1_124]) ).
cnf(refute_1_126,plain,
( op(e4,e0) = e2
| op(e4,e1) = e2
| op(e4,e2) = e2
| op(e4,e3) = e2
| op(e4,e4) = e2 ),
inference(canonicalize,[],[normalize_1_24]) ).
cnf(refute_1_127,plain,
( op(e4,e1) != e2
| op(e4,e1) != e3
| e3 = e2 ),
introduced(tautology,[equality,[$cnf( $equal(op(e4,e1),e2) ),[0],$fot(e3)]]) ).
cnf(refute_1_128,plain,
( op(e4,e1) != e2
| e3 = e2 ),
inference(resolve,[$cnf( $equal(op(e4,e1),e3) )],[refute_1_57,refute_1_127]) ).
cnf(refute_1_129,plain,
( e3 = e2
| op(e4,e0) = e2
| op(e4,e2) = e2
| op(e4,e3) = e2
| op(e4,e4) = e2 ),
inference(resolve,[$cnf( $equal(op(e4,e1),e2) )],[refute_1_126,refute_1_128]) ).
cnf(refute_1_130,plain,
( op(e4,e4) != e1
| op(e4,e4) != e2
| e1 = e2 ),
introduced(tautology,[equality,[$cnf( $equal(op(e4,e4),e2) ),[0],$fot(e1)]]) ).
cnf(refute_1_131,plain,
( op(e4,e4) != e2
| e1 = e2 ),
inference(resolve,[$cnf( $equal(op(e4,e4),e1) )],[refute_1_13,refute_1_130]) ).
cnf(refute_1_132,plain,
( e1 = e2
| e3 = e2
| op(e4,e0) = e2
| op(e4,e2) = e2
| op(e4,e3) = e2 ),
inference(resolve,[$cnf( $equal(op(e4,e4),e2) )],[refute_1_129,refute_1_131]) ).
cnf(refute_1_133,plain,
e1 != e2,
inference(canonicalize,[],[normalize_1_25]) ).
cnf(refute_1_134,plain,
( e3 = e2
| op(e4,e0) = e2
| op(e4,e2) = e2
| op(e4,e3) = e2 ),
inference(resolve,[$cnf( $equal(e1,e2) )],[refute_1_132,refute_1_133]) ).
cnf(refute_1_135,plain,
e2 != e3,
inference(canonicalize,[],[normalize_1_26]) ).
cnf(refute_1_136,plain,
( e3 != e2
| e2 = e3 ),
inference(subst,[],[refute_1_11:[bind(X,$fot(e3)),bind(Y,$fot(e2))]]) ).
cnf(refute_1_137,plain,
e3 != e2,
inference(resolve,[$cnf( $equal(e2,e3) )],[refute_1_136,refute_1_135]) ).
cnf(refute_1_138,plain,
( op(e4,e0) = e2
| op(e4,e2) = e2
| op(e4,e3) = e2 ),
inference(resolve,[$cnf( $equal(e3,e2) )],[refute_1_134,refute_1_137]) ).
cnf(refute_1_139,plain,
( op(e4,e2) != e2
| op(e4,e2) != e4
| e4 = e2 ),
introduced(tautology,[equality,[$cnf( $equal(op(e4,e2),e2) ),[0],$fot(e4)]]) ).
cnf(refute_1_140,plain,
( op(e4,e2) != e2
| e4 = e2 ),
inference(resolve,[$cnf( $equal(op(e4,e2),e4) )],[refute_1_89,refute_1_139]) ).
cnf(refute_1_141,plain,
( e4 = e2
| op(e4,e0) = e2
| op(e4,e3) = e2 ),
inference(resolve,[$cnf( $equal(op(e4,e2),e2) )],[refute_1_138,refute_1_140]) ).
cnf(refute_1_142,plain,
( op(e4,e3) != e0
| op(e4,e3) != e2
| e0 = e2 ),
introduced(tautology,[equality,[$cnf( $equal(op(e4,e3),e2) ),[0],$fot(e0)]]) ).
cnf(refute_1_143,plain,
( op(e4,e3) != e2
| e0 = e2 ),
inference(resolve,[$cnf( $equal(op(e4,e3),e0) )],[refute_1_125,refute_1_142]) ).
cnf(refute_1_144,plain,
( e0 = e2
| e4 = e2
| op(e4,e0) = e2 ),
inference(resolve,[$cnf( $equal(op(e4,e3),e2) )],[refute_1_141,refute_1_143]) ).
cnf(refute_1_145,plain,
e0 != e2,
inference(canonicalize,[],[normalize_1_27]) ).
cnf(refute_1_146,plain,
( e4 = e2
| op(e4,e0) = e2 ),
inference(resolve,[$cnf( $equal(e0,e2) )],[refute_1_144,refute_1_145]) ).
cnf(refute_1_147,plain,
( e4 != e2
| e2 = e4 ),
inference(subst,[],[refute_1_11:[bind(X,$fot(e4)),bind(Y,$fot(e2))]]) ).
cnf(refute_1_148,plain,
e4 != e2,
inference(resolve,[$cnf( $equal(e2,e4) )],[refute_1_147,refute_1_70]) ).
cnf(refute_1_149,plain,
op(e4,e0) = e2,
inference(resolve,[$cnf( $equal(e4,e2) )],[refute_1_146,refute_1_148]) ).
cnf(refute_1_150,plain,
( op(e0,e4) = e3
| op(e1,e4) = e3
| op(e2,e4) = e3
| op(e3,e4) = e3
| op(e4,e4) = e3 ),
inference(canonicalize,[],[normalize_1_28]) ).
cnf(refute_1_151,plain,
( op(e4,e4) != e1
| op(e4,e4) != e3
| e1 = e3 ),
introduced(tautology,[equality,[$cnf( $equal(op(e4,e4),e3) ),[0],$fot(e1)]]) ).
cnf(refute_1_152,plain,
( op(e4,e4) != e3
| e1 = e3 ),
inference(resolve,[$cnf( $equal(op(e4,e4),e1) )],[refute_1_13,refute_1_151]) ).
cnf(refute_1_153,plain,
( e1 = e3
| op(e0,e4) = e3
| op(e1,e4) = e3
| op(e2,e4) = e3
| op(e3,e4) = e3 ),
inference(resolve,[$cnf( $equal(op(e4,e4),e3) )],[refute_1_150,refute_1_152]) ).
cnf(refute_1_154,plain,
op(e4,e1) != op(e4,e4),
inference(canonicalize,[],[normalize_1_29]) ).
cnf(refute_1_155,plain,
( e3 != op(e4,e4)
| op(e4,e1) != e3
| op(e4,e1) = op(e4,e4) ),
introduced(tautology,[equality,[$cnf( $equal(op(e4,e1),e3) ),[1],$fot(op(e4,e4))]]) ).
cnf(refute_1_156,plain,
( e3 != op(e4,e4)
| op(e4,e1) = op(e4,e4) ),
inference(resolve,[$cnf( $equal(op(e4,e1),e3) )],[refute_1_57,refute_1_155]) ).
cnf(refute_1_157,plain,
( e3 != e1
| op(e4,e4) != e1
| e3 = op(e4,e4) ),
introduced(tautology,[equality,[$cnf( ~ $equal(e3,op(e4,e4)) ),[1],$fot(e1)]]) ).
cnf(refute_1_158,plain,
( e3 != e1
| e3 = op(e4,e4) ),
inference(resolve,[$cnf( $equal(op(e4,e4),e1) )],[refute_1_13,refute_1_157]) ).
cnf(refute_1_159,plain,
( e3 != e1
| op(e4,e1) = op(e4,e4) ),
inference(resolve,[$cnf( $equal(e3,op(e4,e4)) )],[refute_1_158,refute_1_156]) ).
cnf(refute_1_160,plain,
e3 != e1,
inference(resolve,[$cnf( $equal(op(e4,e1),op(e4,e4)) )],[refute_1_159,refute_1_154]) ).
cnf(refute_1_161,plain,
( e1 != e3
| e3 = e1 ),
inference(subst,[],[refute_1_11:[bind(X,$fot(e1)),bind(Y,$fot(e3))]]) ).
cnf(refute_1_162,plain,
e1 != e3,
inference(resolve,[$cnf( $equal(e3,e1) )],[refute_1_161,refute_1_160]) ).
cnf(refute_1_163,plain,
( op(e0,e4) = e3
| op(e1,e4) = e3
| op(e2,e4) = e3
| op(e3,e4) = e3 ),
inference(resolve,[$cnf( $equal(e1,e3) )],[refute_1_153,refute_1_162]) ).
cnf(refute_1_164,plain,
( op(e1,e4) != e0
| op(e1,e4) != e3
| e0 = e3 ),
introduced(tautology,[equality,[$cnf( $equal(op(e1,e4),e3) ),[0],$fot(e0)]]) ).
cnf(refute_1_165,plain,
( op(e1,e4) != e3
| e0 = e3 ),
inference(resolve,[$cnf( $equal(op(e1,e4),e0) )],[refute_1_31,refute_1_164]) ).
cnf(refute_1_166,plain,
( e0 = e3
| op(e0,e4) = e3
| op(e2,e4) = e3
| op(e3,e4) = e3 ),
inference(resolve,[$cnf( $equal(op(e1,e4),e3) )],[refute_1_163,refute_1_165]) ).
cnf(refute_1_167,plain,
( op(e3,e4) != e2
| op(e3,e4) != e3
| e2 = e3 ),
introduced(tautology,[equality,[$cnf( $equal(op(e3,e4),e3) ),[0],$fot(e2)]]) ).
cnf(refute_1_168,plain,
( op(e3,e4) != e3
| e2 = e3 ),
inference(resolve,[$cnf( $equal(op(e3,e4),e2) )],[refute_1_66,refute_1_167]) ).
cnf(refute_1_169,plain,
( e0 = e3
| e2 = e3
| op(e0,e4) = e3
| op(e2,e4) = e3 ),
inference(resolve,[$cnf( $equal(op(e3,e4),e3) )],[refute_1_166,refute_1_168]) ).
cnf(refute_1_170,plain,
( e2 = e3
| op(e0,e4) = e3
| op(e2,e4) = e3 ),
inference(resolve,[$cnf( $equal(e0,e3) )],[refute_1_169,refute_1_101]) ).
cnf(refute_1_171,plain,
( op(e0,e4) = e3
| op(e2,e4) = e3 ),
inference(resolve,[$cnf( $equal(e2,e3) )],[refute_1_170,refute_1_135]) ).
cnf(refute_1_172,plain,
op(unit,e4) = op(unit,e4),
introduced(tautology,[refl,[$fot(op(unit,e4))]]) ).
cnf(refute_1_173,plain,
( op(unit,e4) != op(unit,e4)
| unit != e2
| op(unit,e4) = op(e2,e4) ),
introduced(tautology,[equality,[$cnf( $equal(op(unit,e4),op(unit,e4)) ),[1,0],$fot(e2)]]) ).
cnf(refute_1_174,plain,
( unit != e2
| op(unit,e4) = op(e2,e4) ),
inference(resolve,[$cnf( $equal(op(unit,e4),op(unit,e4)) )],[refute_1_172,refute_1_173]) ).
cnf(refute_1_175,plain,
op(unit,e4) = op(e2,e4),
inference(resolve,[$cnf( $equal(unit,e2) )],[refute_1_82,refute_1_174]) ).
cnf(refute_1_176,plain,
( op(unit,e4) != e4
| op(unit,e4) != op(e2,e4)
| op(e2,e4) = e4 ),
introduced(tautology,[equality,[$cnf( $equal(op(unit,e4),e4) ),[0],$fot(op(e2,e4))]]) ).
cnf(refute_1_177,plain,
( op(unit,e4) != e4
| op(e2,e4) = e4 ),
inference(resolve,[$cnf( $equal(op(unit,e4),op(e2,e4)) )],[refute_1_175,refute_1_176]) ).
cnf(refute_1_178,plain,
op(e2,e4) = e4,
inference(resolve,[$cnf( $equal(op(unit,e4),e4) )],[refute_1_3,refute_1_177]) ).
cnf(refute_1_179,plain,
( op(e2,e4) != e3
| op(e2,e4) != e4
| e4 = e3 ),
introduced(tautology,[equality,[$cnf( $equal(op(e2,e4),e3) ),[0],$fot(e4)]]) ).
cnf(refute_1_180,plain,
( op(e2,e4) != e3
| e4 = e3 ),
inference(resolve,[$cnf( $equal(op(e2,e4),e4) )],[refute_1_178,refute_1_179]) ).
cnf(refute_1_181,plain,
( e4 = e3
| op(e0,e4) = e3 ),
inference(resolve,[$cnf( $equal(op(e2,e4),e3) )],[refute_1_171,refute_1_180]) ).
cnf(refute_1_182,plain,
e3 != e4,
inference(canonicalize,[],[normalize_1_30]) ).
cnf(refute_1_183,plain,
( e4 != e3
| e3 = e4 ),
inference(subst,[],[refute_1_11:[bind(X,$fot(e4)),bind(Y,$fot(e3))]]) ).
cnf(refute_1_184,plain,
e4 != e3,
inference(resolve,[$cnf( $equal(e3,e4) )],[refute_1_183,refute_1_182]) ).
cnf(refute_1_185,plain,
op(e0,e4) = e3,
inference(resolve,[$cnf( $equal(e4,e3) )],[refute_1_181,refute_1_184]) ).
cnf(refute_1_186,plain,
op(unit,e1) = op(unit,e1),
introduced(tautology,[refl,[$fot(op(unit,e1))]]) ).
cnf(refute_1_187,plain,
( op(unit,e1) != op(unit,e1)
| unit != e2
| op(unit,e1) = op(e2,e1) ),
introduced(tautology,[equality,[$cnf( $equal(op(unit,e1),op(unit,e1)) ),[1,0],$fot(e2)]]) ).
cnf(refute_1_188,plain,
( unit != e2
| op(unit,e1) = op(e2,e1) ),
inference(resolve,[$cnf( $equal(op(unit,e1),op(unit,e1)) )],[refute_1_186,refute_1_187]) ).
cnf(refute_1_189,plain,
op(unit,e1) = op(e2,e1),
inference(resolve,[$cnf( $equal(unit,e2) )],[refute_1_82,refute_1_188]) ).
cnf(refute_1_190,plain,
( op(unit,e1) != e1
| op(unit,e1) != op(e2,e1)
| op(e2,e1) = e1 ),
introduced(tautology,[equality,[$cnf( $equal(op(unit,e1),e1) ),[0],$fot(op(e2,e1))]]) ).
cnf(refute_1_191,plain,
( op(unit,e1) != e1
| op(e2,e1) = e1 ),
inference(resolve,[$cnf( $equal(op(unit,e1),op(e2,e1)) )],[refute_1_189,refute_1_190]) ).
cnf(refute_1_192,plain,
op(e2,e1) = e1,
inference(resolve,[$cnf( $equal(op(unit,e1),e1) )],[refute_1_2,refute_1_191]) ).
cnf(refute_1_193,plain,
( op(e1,e1) = e3
| op(e1,e1) = e4
| definitionFOFtoCNF_4 ),
inference(canonicalize,[],[normalize_1_33]) ).
cnf(refute_1_194,plain,
op(e1,e1) != op(e4,e1),
inference(canonicalize,[],[normalize_1_34]) ).
cnf(refute_1_195,plain,
( op(e1,e1) != e3
| op(e4,e1) != e3
| op(e1,e1) = op(e4,e1) ),
introduced(tautology,[equality,[$cnf( ~ $equal(op(e1,e1),op(e4,e1)) ),[1],$fot(e3)]]) ).
cnf(refute_1_196,plain,
( op(e1,e1) != e3
| op(e1,e1) = op(e4,e1) ),
inference(resolve,[$cnf( $equal(op(e4,e1),e3) )],[refute_1_57,refute_1_195]) ).
cnf(refute_1_197,plain,
op(e1,e1) != e3,
inference(resolve,[$cnf( $equal(op(e1,e1),op(e4,e1)) )],[refute_1_196,refute_1_194]) ).
cnf(refute_1_198,plain,
( op(e1,e1) = e4
| definitionFOFtoCNF_4 ),
inference(resolve,[$cnf( $equal(op(e1,e1),e3) )],[refute_1_193,refute_1_197]) ).
cnf(refute_1_199,plain,
( op(e0,e1) = e2
| op(e1,e1) = e2
| op(e2,e1) = e2
| op(e3,e1) = e2
| op(e4,e1) = e2 ),
inference(canonicalize,[],[normalize_1_35]) ).
cnf(refute_1_200,plain,
( e3 = e2
| op(e0,e1) = e2
| op(e1,e1) = e2
| op(e2,e1) = e2
| op(e3,e1) = e2 ),
inference(resolve,[$cnf( $equal(op(e4,e1),e2) )],[refute_1_199,refute_1_128]) ).
cnf(refute_1_201,plain,
( op(e0,e1) = e2
| op(e1,e1) = e2
| op(e2,e1) = e2
| op(e3,e1) = e2 ),
inference(resolve,[$cnf( $equal(e3,e2) )],[refute_1_200,refute_1_137]) ).
cnf(refute_1_202,plain,
op(e3,e1) != op(e3,e4),
inference(canonicalize,[],[normalize_1_36]) ).
cnf(refute_1_203,plain,
( op(e3,e1) != e2
| op(e3,e4) != e2
| op(e3,e1) = op(e3,e4) ),
introduced(tautology,[equality,[$cnf( ~ $equal(op(e3,e1),op(e3,e4)) ),[1],$fot(e2)]]) ).
cnf(refute_1_204,plain,
( op(e3,e1) != e2
| op(e3,e1) = op(e3,e4) ),
inference(resolve,[$cnf( $equal(op(e3,e4),e2) )],[refute_1_66,refute_1_203]) ).
cnf(refute_1_205,plain,
op(e3,e1) != e2,
inference(resolve,[$cnf( $equal(op(e3,e1),op(e3,e4)) )],[refute_1_204,refute_1_202]) ).
cnf(refute_1_206,plain,
( op(e0,e1) = e2
| op(e1,e1) = e2
| op(e2,e1) = e2 ),
inference(resolve,[$cnf( $equal(op(e3,e1),e2) )],[refute_1_201,refute_1_205]) ).
cnf(refute_1_207,plain,
( op(e2,e1) != e1
| op(e2,e1) != e2
| e1 = e2 ),
introduced(tautology,[equality,[$cnf( $equal(op(e2,e1),e2) ),[0],$fot(e1)]]) ).
cnf(refute_1_208,plain,
( op(e2,e1) != e2
| e1 = e2 ),
inference(resolve,[$cnf( $equal(op(e2,e1),e1) )],[refute_1_192,refute_1_207]) ).
cnf(refute_1_209,plain,
( e1 = e2
| op(e0,e1) = e2
| op(e1,e1) = e2 ),
inference(resolve,[$cnf( $equal(op(e2,e1),e2) )],[refute_1_206,refute_1_208]) ).
cnf(refute_1_210,plain,
( op(e0,e1) = e2
| op(e1,e1) = e2 ),
inference(resolve,[$cnf( $equal(e1,e2) )],[refute_1_209,refute_1_133]) ).
cnf(refute_1_211,plain,
( op(e1,e1) != e2
| op(e1,e1) != e4
| e2 = e4 ),
introduced(tautology,[equality,[$cnf( $equal(op(e1,e1),e4) ),[0],$fot(e2)]]) ).
cnf(refute_1_212,plain,
( op(e1,e1) != e4
| e2 = e4
| op(e0,e1) = e2 ),
inference(resolve,[$cnf( $equal(op(e1,e1),e2) )],[refute_1_210,refute_1_211]) ).
cnf(refute_1_213,plain,
( e2 = e4
| op(e0,e1) = e2
| definitionFOFtoCNF_4 ),
inference(resolve,[$cnf( $equal(op(e1,e1),e4) )],[refute_1_198,refute_1_212]) ).
cnf(refute_1_214,plain,
( op(e0,e1) = e2
| definitionFOFtoCNF_4 ),
inference(resolve,[$cnf( $equal(e2,e4) )],[refute_1_213,refute_1_70]) ).
cnf(refute_1_215,plain,
( ~ definitionFOFtoCNF_0
| ~ definitionFOFtoCNF_1
| ~ definitionFOFtoCNF_4
| ~ definitionFOFtoCNF_5
| op(e2,e2) = e1 ),
inference(canonicalize,[],[normalize_1_48]) ).
cnf(refute_1_216,plain,
( op(e4,e4) = e0
| definitionFOFtoCNF_5 ),
inference(canonicalize,[],[normalize_1_50]) ).
cnf(refute_1_217,plain,
( e1 = e0
| definitionFOFtoCNF_5 ),
inference(resolve,[$cnf( $equal(op(e4,e4),e0) )],[refute_1_216,refute_1_95]) ).
cnf(refute_1_218,plain,
definitionFOFtoCNF_5,
inference(resolve,[$cnf( $equal(e1,e0) )],[refute_1_217,refute_1_99]) ).
cnf(refute_1_219,plain,
( ~ definitionFOFtoCNF_0
| ~ definitionFOFtoCNF_1
| ~ definitionFOFtoCNF_4
| op(e2,e2) = e1 ),
inference(resolve,[$cnf( definitionFOFtoCNF_5 )],[refute_1_218,refute_1_215]) ).
cnf(refute_1_220,plain,
op(e2,unit) = e2,
inference(canonicalize,[],[normalize_1_51]) ).
cnf(refute_1_221,plain,
op(e2,unit) = op(e2,unit),
introduced(tautology,[refl,[$fot(op(e2,unit))]]) ).
cnf(refute_1_222,plain,
( op(e2,unit) != op(e2,unit)
| unit != e2
| op(e2,unit) = op(e2,e2) ),
introduced(tautology,[equality,[$cnf( $equal(op(e2,unit),op(e2,unit)) ),[1,1],$fot(e2)]]) ).
cnf(refute_1_223,plain,
( unit != e2
| op(e2,unit) = op(e2,e2) ),
inference(resolve,[$cnf( $equal(op(e2,unit),op(e2,unit)) )],[refute_1_221,refute_1_222]) ).
cnf(refute_1_224,plain,
op(e2,unit) = op(e2,e2),
inference(resolve,[$cnf( $equal(unit,e2) )],[refute_1_82,refute_1_223]) ).
cnf(refute_1_225,plain,
( op(e2,unit) != e2
| op(e2,unit) != op(e2,e2)
| op(e2,e2) = e2 ),
introduced(tautology,[equality,[$cnf( $equal(op(e2,unit),e2) ),[0],$fot(op(e2,e2))]]) ).
cnf(refute_1_226,plain,
( op(e2,unit) != e2
| op(e2,e2) = e2 ),
inference(resolve,[$cnf( $equal(op(e2,unit),op(e2,e2)) )],[refute_1_224,refute_1_225]) ).
cnf(refute_1_227,plain,
op(e2,e2) = e2,
inference(resolve,[$cnf( $equal(op(e2,unit),e2) )],[refute_1_220,refute_1_226]) ).
cnf(refute_1_228,plain,
( op(e2,e2) != e1
| op(e2,e2) != e2
| e2 = e1 ),
introduced(tautology,[equality,[$cnf( $equal(op(e2,e2),e1) ),[0],$fot(e2)]]) ).
cnf(refute_1_229,plain,
( op(e2,e2) != e1
| e2 = e1 ),
inference(resolve,[$cnf( $equal(op(e2,e2),e2) )],[refute_1_227,refute_1_228]) ).
cnf(refute_1_230,plain,
( ~ definitionFOFtoCNF_0
| ~ definitionFOFtoCNF_1
| ~ definitionFOFtoCNF_4
| e2 = e1 ),
inference(resolve,[$cnf( $equal(op(e2,e2),e1) )],[refute_1_219,refute_1_229]) ).
cnf(refute_1_231,plain,
( definitionFOFtoCNF_0
| definitionFOFtoCNF_4 ),
inference(canonicalize,[],[normalize_1_52]) ).
cnf(refute_1_232,plain,
( op(e1,e1) != e4
| op(e4,e4) != e1
| ~ definitionFOFtoCNF_4
| op(e1,e4) = e1 ),
inference(canonicalize,[],[normalize_1_53]) ).
cnf(refute_1_233,plain,
( e1 != e1
| op(e4,e4) != e1
| op(e4,e4) = e1 ),
introduced(tautology,[equality,[$cnf( $equal(op(e4,e4),e1) ),[1],$fot(e1)]]) ).
cnf(refute_1_234,plain,
( e1 != e1
| op(e4,e4) = e1 ),
inference(resolve,[$cnf( $equal(op(e4,e4),e1) )],[refute_1_13,refute_1_233]) ).
cnf(refute_1_235,plain,
( e1 != e1
| op(e1,e1) != e4
| ~ definitionFOFtoCNF_4
| op(e1,e4) = e1 ),
inference(resolve,[$cnf( $equal(op(e4,e4),e1) )],[refute_1_234,refute_1_232]) ).
cnf(refute_1_236,plain,
( op(e1,e4) != e0
| op(e1,e4) != e1
| e0 = e1 ),
introduced(tautology,[equality,[$cnf( $equal(op(e1,e4),e1) ),[0],$fot(e0)]]) ).
cnf(refute_1_237,plain,
( op(e1,e4) != e1
| e0 = e1 ),
inference(resolve,[$cnf( $equal(op(e1,e4),e0) )],[refute_1_31,refute_1_236]) ).
cnf(refute_1_238,plain,
( e1 != e1
| op(e1,e1) != e4
| ~ definitionFOFtoCNF_4
| e0 = e1 ),
inference(resolve,[$cnf( $equal(op(e1,e4),e1) )],[refute_1_235,refute_1_237]) ).
cnf(refute_1_239,plain,
e1 = e1,
introduced(tautology,[refl,[$fot(e1)]]) ).
cnf(refute_1_240,plain,
( op(e1,e1) != e4
| ~ definitionFOFtoCNF_4
| e0 = e1 ),
inference(resolve,[$cnf( $equal(e1,e1) )],[refute_1_239,refute_1_238]) ).
cnf(refute_1_241,plain,
( op(e1,e1) != e4
| ~ definitionFOFtoCNF_4 ),
inference(resolve,[$cnf( $equal(e0,e1) )],[refute_1_240,refute_1_97]) ).
cnf(refute_1_242,plain,
( op(e1,e1) = e4
| op(e4,e4) = e0
| definitionFOFtoCNF_10
| definitionFOFtoCNF_6
| definitionFOFtoCNF_9 ),
inference(canonicalize,[],[normalize_1_67]) ).
cnf(refute_1_243,plain,
( e1 = e0
| op(e1,e1) = e4
| definitionFOFtoCNF_10
| definitionFOFtoCNF_6
| definitionFOFtoCNF_9 ),
inference(resolve,[$cnf( $equal(op(e4,e4),e0) )],[refute_1_242,refute_1_95]) ).
cnf(refute_1_244,plain,
( op(e1,e1) = e4
| definitionFOFtoCNF_10
| definitionFOFtoCNF_6
| definitionFOFtoCNF_9 ),
inference(resolve,[$cnf( $equal(e1,e0) )],[refute_1_243,refute_1_99]) ).
cnf(refute_1_245,plain,
( ~ definitionFOFtoCNF_10
| op(e4,e4) = e3 ),
inference(canonicalize,[],[normalize_1_69]) ).
cnf(refute_1_246,plain,
( ~ definitionFOFtoCNF_10
| e1 = e3 ),
inference(resolve,[$cnf( $equal(op(e4,e4),e3) )],[refute_1_245,refute_1_152]) ).
cnf(refute_1_247,plain,
~ definitionFOFtoCNF_10,
inference(resolve,[$cnf( $equal(e1,e3) )],[refute_1_246,refute_1_162]) ).
cnf(refute_1_248,plain,
( op(e1,e1) = e4
| definitionFOFtoCNF_6
| definitionFOFtoCNF_9 ),
inference(resolve,[$cnf( definitionFOFtoCNF_10 )],[refute_1_244,refute_1_247]) ).
cnf(refute_1_249,plain,
( ~ definitionFOFtoCNF_9
| op(e4,e4) = e2
| op(e4,e4) = e3 ),
inference(canonicalize,[],[normalize_1_71]) ).
cnf(refute_1_250,plain,
( ~ definitionFOFtoCNF_9
| e1 = e2
| op(e4,e4) = e3 ),
inference(resolve,[$cnf( $equal(op(e4,e4),e2) )],[refute_1_249,refute_1_131]) ).
cnf(refute_1_251,plain,
( ~ definitionFOFtoCNF_9
| e1 = e2
| e1 = e3 ),
inference(resolve,[$cnf( $equal(op(e4,e4),e3) )],[refute_1_250,refute_1_152]) ).
cnf(refute_1_252,plain,
( ~ definitionFOFtoCNF_9
| e1 = e3 ),
inference(resolve,[$cnf( $equal(e1,e2) )],[refute_1_251,refute_1_133]) ).
cnf(refute_1_253,plain,
~ definitionFOFtoCNF_9,
inference(resolve,[$cnf( $equal(e1,e3) )],[refute_1_252,refute_1_162]) ).
cnf(refute_1_254,plain,
( op(e1,e1) = e4
| definitionFOFtoCNF_6 ),
inference(resolve,[$cnf( definitionFOFtoCNF_9 )],[refute_1_248,refute_1_253]) ).
cnf(refute_1_255,plain,
( e4 != e4
| op(e1,e1) != e4
| op(e1,e1) = e4 ),
introduced(tautology,[equality,[$cnf( $equal(op(e1,e1),e4) ),[1],$fot(e4)]]) ).
cnf(refute_1_256,plain,
( e4 != e4
| op(e1,e1) = e4
| definitionFOFtoCNF_6 ),
inference(resolve,[$cnf( $equal(op(e1,e1),e4) )],[refute_1_254,refute_1_255]) ).
cnf(refute_1_257,plain,
( e4 != e4
| ~ definitionFOFtoCNF_4
| definitionFOFtoCNF_6 ),
inference(resolve,[$cnf( $equal(op(e1,e1),e4) )],[refute_1_256,refute_1_241]) ).
cnf(refute_1_258,plain,
e4 = e4,
introduced(tautology,[refl,[$fot(e4)]]) ).
cnf(refute_1_259,plain,
( ~ definitionFOFtoCNF_4
| definitionFOFtoCNF_6 ),
inference(resolve,[$cnf( $equal(e4,e4) )],[refute_1_258,refute_1_257]) ).
cnf(refute_1_260,plain,
( definitionFOFtoCNF_0
| definitionFOFtoCNF_6 ),
inference(resolve,[$cnf( definitionFOFtoCNF_4 )],[refute_1_231,refute_1_259]) ).
cnf(refute_1_261,plain,
( ~ definitionFOFtoCNF_6
| ~ definitionFOFtoCNF_7
| ~ definitionFOFtoCNF_8
| op(e1,e1) = e3
| op(e3,e3) = e2
| definitionFOFtoCNF_0 ),
inference(canonicalize,[],[normalize_1_73]) ).
cnf(refute_1_262,plain,
( ~ definitionFOFtoCNF_6
| ~ definitionFOFtoCNF_7
| ~ definitionFOFtoCNF_8
| op(e3,e3) = e2
| definitionFOFtoCNF_0 ),
inference(resolve,[$cnf( $equal(op(e1,e1),e3) )],[refute_1_261,refute_1_197]) ).
cnf(refute_1_263,plain,
( op(e3,e3) = e2
| op(e4,e4) = e2
| definitionFOFtoCNF_7 ),
inference(canonicalize,[],[normalize_1_75]) ).
cnf(refute_1_264,plain,
( e1 = e2
| op(e3,e3) = e2
| definitionFOFtoCNF_7 ),
inference(resolve,[$cnf( $equal(op(e4,e4),e2) )],[refute_1_263,refute_1_131]) ).
cnf(refute_1_265,plain,
( op(e3,e3) = e2
| definitionFOFtoCNF_7 ),
inference(resolve,[$cnf( $equal(e1,e2) )],[refute_1_264,refute_1_133]) ).
cnf(refute_1_266,plain,
op(e3,e3) != op(e3,e4),
inference(canonicalize,[],[normalize_1_76]) ).
cnf(refute_1_267,plain,
( op(e3,e3) != e2
| op(e3,e4) != e2
| op(e3,e3) = op(e3,e4) ),
introduced(tautology,[equality,[$cnf( ~ $equal(op(e3,e3),op(e3,e4)) ),[1],$fot(e2)]]) ).
cnf(refute_1_268,plain,
( op(e3,e3) != e2
| op(e3,e3) = op(e3,e4) ),
inference(resolve,[$cnf( $equal(op(e3,e4),e2) )],[refute_1_66,refute_1_267]) ).
cnf(refute_1_269,plain,
op(e3,e3) != e2,
inference(resolve,[$cnf( $equal(op(e3,e3),op(e3,e4)) )],[refute_1_268,refute_1_266]) ).
cnf(refute_1_270,plain,
definitionFOFtoCNF_7,
inference(resolve,[$cnf( $equal(op(e3,e3),e2) )],[refute_1_265,refute_1_269]) ).
cnf(refute_1_271,plain,
( ~ definitionFOFtoCNF_6
| ~ definitionFOFtoCNF_8
| op(e3,e3) = e2
| definitionFOFtoCNF_0 ),
inference(resolve,[$cnf( definitionFOFtoCNF_7 )],[refute_1_270,refute_1_262]) ).
cnf(refute_1_272,plain,
( ~ definitionFOFtoCNF_6
| ~ definitionFOFtoCNF_8
| definitionFOFtoCNF_0 ),
inference(resolve,[$cnf( $equal(op(e3,e3),e2) )],[refute_1_271,refute_1_269]) ).
cnf(refute_1_273,plain,
op(e0,e3) != op(e3,e3),
inference(canonicalize,[],[normalize_1_77]) ).
cnf(refute_1_274,plain,
( op(e3,e3) = e0
| definitionFOFtoCNF_8 ),
inference(canonicalize,[],[normalize_1_79]) ).
cnf(refute_1_275,plain,
( op(e0,e3) != e0
| op(e3,e3) != e0
| op(e0,e3) = op(e3,e3) ),
introduced(tautology,[equality,[$cnf( ~ $equal(op(e0,e3),op(e3,e3)) ),[1],$fot(e0)]]) ).
cnf(refute_1_276,plain,
( op(e0,e3) != e0
| op(e0,e3) = op(e3,e3)
| definitionFOFtoCNF_8 ),
inference(resolve,[$cnf( $equal(op(e3,e3),e0) )],[refute_1_274,refute_1_275]) ).
cnf(refute_1_277,plain,
( op(e0,e3) != e0
| definitionFOFtoCNF_8 ),
inference(resolve,[$cnf( $equal(op(e0,e3),op(e3,e3)) )],[refute_1_276,refute_1_273]) ).
cnf(refute_1_278,plain,
( definitionFOFtoCNF_0
| definitionFOFtoCNF_1 ),
inference(canonicalize,[],[normalize_1_80]) ).
cnf(refute_1_279,plain,
( op(e0,e0) != e3
| op(e3,e3) != e0
| ~ definitionFOFtoCNF_1
| op(e0,e3) = e0 ),
inference(canonicalize,[],[normalize_1_82]) ).
cnf(refute_1_280,plain,
( e0 != e0
| op(e3,e3) != e0
| op(e3,e3) = e0 ),
introduced(tautology,[equality,[$cnf( $equal(op(e3,e3),e0) ),[1],$fot(e0)]]) ).
cnf(refute_1_281,plain,
( e0 != e0
| op(e3,e3) = e0
| definitionFOFtoCNF_8 ),
inference(resolve,[$cnf( $equal(op(e3,e3),e0) )],[refute_1_274,refute_1_280]) ).
cnf(refute_1_282,plain,
( e0 != e0
| op(e0,e0) != e3
| ~ definitionFOFtoCNF_1
| op(e0,e3) = e0
| definitionFOFtoCNF_8 ),
inference(resolve,[$cnf( $equal(op(e3,e3),e0) )],[refute_1_281,refute_1_279]) ).
cnf(refute_1_283,plain,
e0 = e0,
introduced(tautology,[refl,[$fot(e0)]]) ).
cnf(refute_1_284,plain,
( op(e0,e0) != e3
| ~ definitionFOFtoCNF_1
| op(e0,e3) = e0
| definitionFOFtoCNF_8 ),
inference(resolve,[$cnf( $equal(e0,e0) )],[refute_1_283,refute_1_282]) ).
cnf(refute_1_285,plain,
( op(e0,e0) = e3
| definitionFOFtoCNF_8 ),
inference(canonicalize,[],[normalize_1_83]) ).
cnf(refute_1_286,plain,
( e3 != e3
| op(e0,e0) != e3
| op(e0,e0) = e3 ),
introduced(tautology,[equality,[$cnf( $equal(op(e0,e0),e3) ),[1],$fot(e3)]]) ).
cnf(refute_1_287,plain,
( e3 != e3
| op(e0,e0) = e3
| definitionFOFtoCNF_8 ),
inference(resolve,[$cnf( $equal(op(e0,e0),e3) )],[refute_1_285,refute_1_286]) ).
cnf(refute_1_288,plain,
( e3 != e3
| ~ definitionFOFtoCNF_1
| op(e0,e3) = e0
| definitionFOFtoCNF_8 ),
inference(resolve,[$cnf( $equal(op(e0,e0),e3) )],[refute_1_287,refute_1_284]) ).
cnf(refute_1_289,plain,
e3 = e3,
introduced(tautology,[refl,[$fot(e3)]]) ).
cnf(refute_1_290,plain,
( ~ definitionFOFtoCNF_1
| op(e0,e3) = e0
| definitionFOFtoCNF_8 ),
inference(resolve,[$cnf( $equal(e3,e3) )],[refute_1_289,refute_1_288]) ).
cnf(refute_1_291,plain,
( op(e0,e3) = e0
| definitionFOFtoCNF_0
| definitionFOFtoCNF_8 ),
inference(resolve,[$cnf( definitionFOFtoCNF_1 )],[refute_1_278,refute_1_290]) ).
cnf(refute_1_292,plain,
( e0 != e0
| op(e0,e3) != e0
| op(e0,e3) = e0 ),
introduced(tautology,[equality,[$cnf( $equal(op(e0,e3),e0) ),[0,0],$fot(e0)]]) ).
cnf(refute_1_293,plain,
( e0 != e0
| op(e0,e3) = e0
| definitionFOFtoCNF_0
| definitionFOFtoCNF_8 ),
inference(resolve,[$cnf( $equal(op(e0,e3),e0) )],[refute_1_291,refute_1_292]) ).
cnf(refute_1_294,plain,
( e0 != e0
| definitionFOFtoCNF_0
| definitionFOFtoCNF_8 ),
inference(resolve,[$cnf( $equal(op(e0,e3),e0) )],[refute_1_293,refute_1_277]) ).
cnf(refute_1_295,plain,
( definitionFOFtoCNF_0
| definitionFOFtoCNF_8 ),
inference(resolve,[$cnf( $equal(e0,e0) )],[refute_1_283,refute_1_294]) ).
cnf(refute_1_296,plain,
( ~ definitionFOFtoCNF_6
| definitionFOFtoCNF_0 ),
inference(resolve,[$cnf( definitionFOFtoCNF_8 )],[refute_1_295,refute_1_272]) ).
cnf(refute_1_297,plain,
definitionFOFtoCNF_0,
inference(resolve,[$cnf( definitionFOFtoCNF_6 )],[refute_1_260,refute_1_296]) ).
cnf(refute_1_298,plain,
( ~ definitionFOFtoCNF_1
| ~ definitionFOFtoCNF_4
| e2 = e1 ),
inference(resolve,[$cnf( definitionFOFtoCNF_0 )],[refute_1_297,refute_1_230]) ).
cnf(refute_1_299,plain,
( ~ definitionFOFtoCNF_2
| ~ definitionFOFtoCNF_3
| op(e2,e2) = e0
| op(e3,e3) = e0
| definitionFOFtoCNF_1 ),
inference(canonicalize,[],[normalize_1_84]) ).
cnf(refute_1_300,plain,
( op(e1,e1) = e0
| definitionFOFtoCNF_2 ),
inference(canonicalize,[],[normalize_1_86]) ).
cnf(refute_1_301,plain,
definitionFOFtoCNF_2,
inference(resolve,[$cnf( $equal(op(e1,e1),e0) )],[refute_1_300,refute_1_81]) ).
cnf(refute_1_302,plain,
( ~ definitionFOFtoCNF_3
| op(e2,e2) = e0
| op(e3,e3) = e0
| definitionFOFtoCNF_1 ),
inference(resolve,[$cnf( definitionFOFtoCNF_2 )],[refute_1_301,refute_1_299]) ).
cnf(refute_1_303,plain,
( op(e2,e2) != e0
| op(e2,e2) != e2
| e2 = e0 ),
introduced(tautology,[equality,[$cnf( $equal(op(e2,e2),e0) ),[0],$fot(e2)]]) ).
cnf(refute_1_304,plain,
( op(e2,e2) != e0
| e2 = e0 ),
inference(resolve,[$cnf( $equal(op(e2,e2),e2) )],[refute_1_227,refute_1_303]) ).
cnf(refute_1_305,plain,
( ~ definitionFOFtoCNF_3
| e2 = e0
| op(e3,e3) = e0
| definitionFOFtoCNF_1 ),
inference(resolve,[$cnf( $equal(op(e2,e2),e0) )],[refute_1_302,refute_1_304]) ).
cnf(refute_1_306,plain,
( op(e0,e2) != e0
| definitionFOFtoCNF_3 ),
inference(canonicalize,[],[normalize_1_88]) ).
cnf(refute_1_307,plain,
op(e0,unit) = e0,
inference(canonicalize,[],[normalize_1_89]) ).
cnf(refute_1_308,plain,
op(e0,unit) = op(e0,unit),
introduced(tautology,[refl,[$fot(op(e0,unit))]]) ).
cnf(refute_1_309,plain,
( op(e0,unit) != op(e0,unit)
| unit != e2
| op(e0,unit) = op(e0,e2) ),
introduced(tautology,[equality,[$cnf( $equal(op(e0,unit),op(e0,unit)) ),[1,1],$fot(e2)]]) ).
cnf(refute_1_310,plain,
( unit != e2
| op(e0,unit) = op(e0,e2) ),
inference(resolve,[$cnf( $equal(op(e0,unit),op(e0,unit)) )],[refute_1_308,refute_1_309]) ).
cnf(refute_1_311,plain,
op(e0,unit) = op(e0,e2),
inference(resolve,[$cnf( $equal(unit,e2) )],[refute_1_82,refute_1_310]) ).
cnf(refute_1_312,plain,
( op(e0,unit) != e0
| op(e0,unit) != op(e0,e2)
| op(e0,e2) = e0 ),
introduced(tautology,[equality,[$cnf( $equal(op(e0,unit),e0) ),[0],$fot(op(e0,e2))]]) ).
cnf(refute_1_313,plain,
( op(e0,unit) != e0
| op(e0,e2) = e0 ),
inference(resolve,[$cnf( $equal(op(e0,unit),op(e0,e2)) )],[refute_1_311,refute_1_312]) ).
cnf(refute_1_314,plain,
op(e0,e2) = e0,
inference(resolve,[$cnf( $equal(op(e0,unit),e0) )],[refute_1_307,refute_1_313]) ).
cnf(refute_1_315,plain,
( e0 != e0
| op(e0,e2) != e0
| op(e0,e2) = e0 ),
introduced(tautology,[equality,[$cnf( $equal(op(e0,e2),e0) ),[0,0],$fot(e0)]]) ).
cnf(refute_1_316,plain,
( e0 != e0
| op(e0,e2) = e0 ),
inference(resolve,[$cnf( $equal(op(e0,e2),e0) )],[refute_1_314,refute_1_315]) ).
cnf(refute_1_317,plain,
( e0 != e0
| definitionFOFtoCNF_3 ),
inference(resolve,[$cnf( $equal(op(e0,e2),e0) )],[refute_1_316,refute_1_306]) ).
cnf(refute_1_318,plain,
definitionFOFtoCNF_3,
inference(resolve,[$cnf( $equal(e0,e0) )],[refute_1_283,refute_1_317]) ).
cnf(refute_1_319,plain,
( e2 = e0
| op(e3,e3) = e0
| definitionFOFtoCNF_1 ),
inference(resolve,[$cnf( definitionFOFtoCNF_3 )],[refute_1_318,refute_1_305]) ).
cnf(refute_1_320,plain,
( e2 != e0
| e0 = e2 ),
inference(subst,[],[refute_1_11:[bind(X,$fot(e2)),bind(Y,$fot(e0))]]) ).
cnf(refute_1_321,plain,
e2 != e0,
inference(resolve,[$cnf( $equal(e0,e2) )],[refute_1_320,refute_1_145]) ).
cnf(refute_1_322,plain,
( op(e3,e3) = e0
| definitionFOFtoCNF_1 ),
inference(resolve,[$cnf( $equal(e2,e0) )],[refute_1_319,refute_1_321]) ).
cnf(refute_1_323,plain,
op(e3,e3) != op(e4,e3),
inference(canonicalize,[],[normalize_1_90]) ).
cnf(refute_1_324,plain,
( op(e3,e3) != e0
| op(e4,e3) != e0
| op(e3,e3) = op(e4,e3) ),
introduced(tautology,[equality,[$cnf( ~ $equal(op(e3,e3),op(e4,e3)) ),[1],$fot(e0)]]) ).
cnf(refute_1_325,plain,
( op(e3,e3) != e0
| op(e3,e3) = op(e4,e3)
| op(e4,e0) = e0
| op(e4,e2) = e0 ),
inference(resolve,[$cnf( $equal(op(e4,e3),e0) )],[refute_1_104,refute_1_324]) ).
cnf(refute_1_326,plain,
( op(e3,e3) != e0
| op(e4,e0) = e0
| op(e4,e2) = e0 ),
inference(resolve,[$cnf( $equal(op(e3,e3),op(e4,e3)) )],[refute_1_325,refute_1_323]) ).
cnf(refute_1_327,plain,
( op(e4,e0) != e0
| op(e4,e0) != e2
| e2 = e0 ),
introduced(tautology,[equality,[$cnf( $equal(op(e4,e0),e0) ),[0],$fot(e2)]]) ).
cnf(refute_1_328,plain,
( op(e4,e0) != e0
| e2 = e0 ),
inference(resolve,[$cnf( $equal(op(e4,e0),e2) )],[refute_1_149,refute_1_327]) ).
cnf(refute_1_329,plain,
( op(e3,e3) != e0
| e2 = e0
| op(e4,e2) = e0 ),
inference(resolve,[$cnf( $equal(op(e4,e0),e0) )],[refute_1_326,refute_1_328]) ).
cnf(refute_1_330,plain,
( op(e3,e3) != e0
| e2 = e0
| e4 = e0 ),
inference(resolve,[$cnf( $equal(op(e4,e2),e0) )],[refute_1_329,refute_1_106]) ).
cnf(refute_1_331,plain,
( op(e3,e3) != e0
| e4 = e0 ),
inference(resolve,[$cnf( $equal(e2,e0) )],[refute_1_330,refute_1_321]) ).
cnf(refute_1_332,plain,
op(e3,e3) != e0,
inference(resolve,[$cnf( $equal(e4,e0) )],[refute_1_331,refute_1_109]) ).
cnf(refute_1_333,plain,
definitionFOFtoCNF_1,
inference(resolve,[$cnf( $equal(op(e3,e3),e0) )],[refute_1_322,refute_1_332]) ).
cnf(refute_1_334,plain,
( ~ definitionFOFtoCNF_4
| e2 = e1 ),
inference(resolve,[$cnf( definitionFOFtoCNF_1 )],[refute_1_333,refute_1_298]) ).
cnf(refute_1_335,plain,
( e2 != e1
| e1 = e2 ),
inference(subst,[],[refute_1_11:[bind(X,$fot(e2)),bind(Y,$fot(e1))]]) ).
cnf(refute_1_336,plain,
e2 != e1,
inference(resolve,[$cnf( $equal(e1,e2) )],[refute_1_335,refute_1_133]) ).
cnf(refute_1_337,plain,
~ definitionFOFtoCNF_4,
inference(resolve,[$cnf( $equal(e2,e1) )],[refute_1_334,refute_1_336]) ).
cnf(refute_1_338,plain,
op(e0,e1) = e2,
inference(resolve,[$cnf( definitionFOFtoCNF_4 )],[refute_1_214,refute_1_337]) ).
cnf(refute_1_339,plain,
op(op(e0,e1),e1) = op(op(e0,e1),e1),
introduced(tautology,[refl,[$fot(op(op(e0,e1),e1))]]) ).
cnf(refute_1_340,plain,
( op(e0,e1) != e2
| op(op(e0,e1),e1) != op(op(e0,e1),e1)
| op(op(e0,e1),e1) = op(e2,e1) ),
introduced(tautology,[equality,[$cnf( $equal(op(op(e0,e1),e1),op(op(e0,e1),e1)) ),[1,0],$fot(e2)]]) ).
cnf(refute_1_341,plain,
( op(e0,e1) != e2
| op(op(e0,e1),e1) = op(e2,e1) ),
inference(resolve,[$cnf( $equal(op(op(e0,e1),e1),op(op(e0,e1),e1)) )],[refute_1_339,refute_1_340]) ).
cnf(refute_1_342,plain,
op(op(e0,e1),e1) = op(e2,e1),
inference(resolve,[$cnf( $equal(op(e0,e1),e2) )],[refute_1_338,refute_1_341]) ).
cnf(refute_1_343,plain,
( Y != X
| Y != Z
| X = Z ),
introduced(tautology,[equality,[$cnf( $equal(Y,Z) ),[0],$fot(X)]]) ).
cnf(refute_1_344,plain,
( X != Y
| Y != Z
| X = Z ),
inference(resolve,[$cnf( $equal(Y,X) )],[refute_1_11,refute_1_343]) ).
cnf(refute_1_345,plain,
( op(e2,e1) != e1
| op(op(e0,e1),e1) != op(e2,e1)
| op(op(e0,e1),e1) = e1 ),
inference(subst,[],[refute_1_344:[bind(X,$fot(op(op(e0,e1),e1))),bind(Y,$fot(op(e2,e1))),bind(Z,$fot(e1))]]) ).
cnf(refute_1_346,plain,
( op(e2,e1) != e1
| op(op(e0,e1),e1) = e1 ),
inference(resolve,[$cnf( $equal(op(op(e0,e1),e1),op(e2,e1)) )],[refute_1_342,refute_1_345]) ).
cnf(refute_1_347,plain,
op(op(e0,e1),e1) = e1,
inference(resolve,[$cnf( $equal(op(e2,e1),e1) )],[refute_1_192,refute_1_346]) ).
cnf(refute_1_348,plain,
( op(op(e0,e1),e1) != e0
| op(op(e0,e1),e1) != e1
| e1 = e0 ),
introduced(tautology,[equality,[$cnf( $equal(op(op(e0,e1),e1),e0) ),[0],$fot(e1)]]) ).
cnf(refute_1_349,plain,
( op(op(e0,e1),e1) != e0
| e1 = e0 ),
inference(resolve,[$cnf( $equal(op(op(e0,e1),e1),e1) )],[refute_1_347,refute_1_348]) ).
cnf(refute_1_350,plain,
e1 = e0,
inference(resolve,[$cnf( $equal(op(op(e0,e1),e1),e0) )],[refute_1_1,refute_1_349]) ).
cnf(refute_1_351,plain,
op(e1,e4) = op(e1,e4),
introduced(tautology,[refl,[$fot(op(e1,e4))]]) ).
cnf(refute_1_352,plain,
( e1 != e0
| op(e1,e4) != op(e1,e4)
| op(e1,e4) = op(e0,e4) ),
introduced(tautology,[equality,[$cnf( $equal(op(e1,e4),op(e1,e4)) ),[1,0],$fot(e0)]]) ).
cnf(refute_1_353,plain,
( e1 != e0
| op(e1,e4) = op(e0,e4) ),
inference(resolve,[$cnf( $equal(op(e1,e4),op(e1,e4)) )],[refute_1_351,refute_1_352]) ).
cnf(refute_1_354,plain,
op(e1,e4) = op(e0,e4),
inference(resolve,[$cnf( $equal(e1,e0) )],[refute_1_350,refute_1_353]) ).
cnf(refute_1_355,plain,
( op(e0,e4) != e3
| op(e1,e4) != op(e0,e4)
| op(e1,e4) = e3 ),
inference(subst,[],[refute_1_344:[bind(X,$fot(op(e1,e4))),bind(Y,$fot(op(e0,e4))),bind(Z,$fot(e3))]]) ).
cnf(refute_1_356,plain,
( op(e0,e4) != e3
| op(e1,e4) = e3 ),
inference(resolve,[$cnf( $equal(op(e1,e4),op(e0,e4)) )],[refute_1_354,refute_1_355]) ).
cnf(refute_1_357,plain,
op(e1,e4) = e3,
inference(resolve,[$cnf( $equal(op(e0,e4),e3) )],[refute_1_185,refute_1_356]) ).
cnf(refute_1_358,plain,
( e0 != op(e1,e4)
| op(e1,e4) != e3
| e0 = e3 ),
introduced(tautology,[equality,[$cnf( ~ $equal(e0,e3) ),[0],$fot(op(e1,e4))]]) ).
cnf(refute_1_359,plain,
( e0 != op(e1,e4)
| e0 = e3 ),
inference(resolve,[$cnf( $equal(op(e1,e4),e3) )],[refute_1_357,refute_1_358]) ).
cnf(refute_1_360,plain,
e0 = e3,
inference(resolve,[$cnf( $equal(e0,op(e1,e4)) )],[refute_1_29,refute_1_359]) ).
cnf(refute_1_361,plain,
( e0 != e3
| e3 = e0 ),
inference(subst,[],[refute_1_11:[bind(X,$fot(e0)),bind(Y,$fot(e3))]]) ).
cnf(refute_1_362,plain,
e3 = e0,
inference(resolve,[$cnf( $equal(e0,e3) )],[refute_1_360,refute_1_361]) ).
cnf(refute_1_363,plain,
op(e4,e3) = op(e4,e3),
introduced(tautology,[refl,[$fot(op(e4,e3))]]) ).
cnf(refute_1_364,plain,
( e3 != e0
| op(e4,e3) != op(e4,e3)
| op(e4,e3) = op(e4,e0) ),
introduced(tautology,[equality,[$cnf( $equal(op(e4,e3),op(e4,e3)) ),[1,1],$fot(e0)]]) ).
cnf(refute_1_365,plain,
( e3 != e0
| op(e4,e3) = op(e4,e0) ),
inference(resolve,[$cnf( $equal(op(e4,e3),op(e4,e3)) )],[refute_1_363,refute_1_364]) ).
cnf(refute_1_366,plain,
op(e4,e3) = op(e4,e0),
inference(resolve,[$cnf( $equal(e3,e0) )],[refute_1_362,refute_1_365]) ).
cnf(refute_1_367,plain,
( op(e4,e0) != e2
| op(e4,e3) != op(e4,e0)
| op(e4,e3) = e2 ),
inference(subst,[],[refute_1_344:[bind(X,$fot(op(e4,e3))),bind(Y,$fot(op(e4,e0))),bind(Z,$fot(e2))]]) ).
cnf(refute_1_368,plain,
( op(e4,e0) != e2
| op(e4,e3) = e2 ),
inference(resolve,[$cnf( $equal(op(e4,e3),op(e4,e0)) )],[refute_1_366,refute_1_367]) ).
cnf(refute_1_369,plain,
op(e4,e3) = e2,
inference(resolve,[$cnf( $equal(op(e4,e0),e2) )],[refute_1_149,refute_1_368]) ).
cnf(refute_1_370,plain,
( op(e4,e3) != e0
| op(e4,e3) != e2
| e2 = e0 ),
introduced(tautology,[equality,[$cnf( $equal(op(e4,e3),e0) ),[0],$fot(e2)]]) ).
cnf(refute_1_371,plain,
( op(e4,e3) != e0
| e2 = e0 ),
inference(resolve,[$cnf( $equal(op(e4,e3),e2) )],[refute_1_369,refute_1_370]) ).
cnf(refute_1_372,plain,
e2 = e0,
inference(resolve,[$cnf( $equal(op(e4,e3),e0) )],[refute_1_125,refute_1_371]) ).
cnf(refute_1_373,plain,
( e2 != e0
| op(e4,e0) != e2
| op(e4,e0) = e0 ),
inference(subst,[],[refute_1_344:[bind(X,$fot(op(e4,e0))),bind(Y,$fot(e2)),bind(Z,$fot(e0))]]) ).
cnf(refute_1_374,plain,
( e2 != e0
| op(e4,e0) = e0 ),
inference(resolve,[$cnf( $equal(op(e4,e0),e2) )],[refute_1_149,refute_1_373]) ).
cnf(refute_1_375,plain,
op(e4,e0) = e0,
inference(resolve,[$cnf( $equal(e2,e0) )],[refute_1_372,refute_1_374]) ).
cnf(refute_1_376,plain,
op(e4,e2) = op(e4,e2),
introduced(tautology,[refl,[$fot(op(e4,e2))]]) ).
cnf(refute_1_377,plain,
( e2 != e0
| op(e4,e2) != op(e4,e2)
| op(e4,e2) = op(e4,e0) ),
introduced(tautology,[equality,[$cnf( $equal(op(e4,e2),op(e4,e2)) ),[1,1],$fot(e0)]]) ).
cnf(refute_1_378,plain,
( e2 != e0
| op(e4,e2) = op(e4,e0) ),
inference(resolve,[$cnf( $equal(op(e4,e2),op(e4,e2)) )],[refute_1_376,refute_1_377]) ).
cnf(refute_1_379,plain,
op(e4,e2) = op(e4,e0),
inference(resolve,[$cnf( $equal(e2,e0) )],[refute_1_372,refute_1_378]) ).
cnf(refute_1_380,plain,
( op(e4,e0) != e0
| op(e4,e2) != op(e4,e0)
| op(e4,e2) = e0 ),
inference(subst,[],[refute_1_344:[bind(X,$fot(op(e4,e2))),bind(Y,$fot(op(e4,e0))),bind(Z,$fot(e0))]]) ).
cnf(refute_1_381,plain,
( op(e4,e0) != e0
| op(e4,e2) = e0 ),
inference(resolve,[$cnf( $equal(op(e4,e2),op(e4,e0)) )],[refute_1_379,refute_1_380]) ).
cnf(refute_1_382,plain,
op(e4,e2) = e0,
inference(resolve,[$cnf( $equal(op(e4,e0),e0) )],[refute_1_375,refute_1_381]) ).
cnf(refute_1_383,plain,
( op(e4,e2) != e0
| op(e4,e2) != e4
| e0 = e4 ),
introduced(tautology,[equality,[$cnf( $equal(op(e4,e2),e4) ),[0],$fot(e0)]]) ).
cnf(refute_1_384,plain,
( op(e4,e2) != e4
| e0 = e4 ),
inference(resolve,[$cnf( $equal(op(e4,e2),e0) )],[refute_1_382,refute_1_383]) ).
cnf(refute_1_385,plain,
e0 = e4,
inference(resolve,[$cnf( $equal(op(e4,e2),e4) )],[refute_1_89,refute_1_384]) ).
cnf(refute_1_386,plain,
$false,
inference(resolve,[$cnf( $equal(e0,e4) )],[refute_1_385,refute_1_35]) ).
fof(negate_2_0,plain,
~ ( ( ( ( op(e0,e0) = e0
& op(e0,e0) = e0
& op(e0,e0) != e0 )
| ( op(e0,e0) = e1
& op(e1,e1) = e0
& op(e0,e1) != e0 )
| ( op(e0,e0) = e2
& op(e2,e2) = e0
& op(e0,e2) != e0 )
| ( op(e0,e0) = e3
& op(e3,e3) = e0
& op(e0,e3) != e0 )
| ( op(e0,e0) = e4
& op(e4,e4) = e0
& op(e0,e4) != e0 )
| ( op(e1,e1) = e0
& op(e0,e0) = e1
& op(e1,e0) != e1 )
| ( op(e1,e1) = e1
& op(e1,e1) = e1
& op(e1,e1) != e1 )
| ( op(e1,e1) = e2
& op(e2,e2) = e1
& op(e1,e2) != e1 )
| ( op(e1,e1) = e3
& op(e3,e3) = e1
& op(e1,e3) != e1 )
| ( op(e1,e1) = e4
& op(e4,e4) = e1
& op(e1,e4) != e1 )
| ( op(e2,e2) = e0
& op(e0,e0) = e2
& op(e2,e0) != e2 )
| ( op(e2,e2) = e1
& op(e1,e1) = e2
& op(e2,e1) != e2 )
| ( op(e2,e2) = e2
& op(e2,e2) = e2
& op(e2,e2) != e2 )
| ( op(e2,e2) = e3
& op(e3,e3) = e2
& op(e2,e3) != e2 )
| ( op(e2,e2) = e4
& op(e4,e4) = e2
& op(e2,e4) != e2 )
| ( op(e3,e3) = e0
& op(e0,e0) = e3
& op(e3,e0) != e3 )
| ( op(e3,e3) = e1
& op(e1,e1) = e3
& op(e3,e1) != e3 )
| ( op(e3,e3) = e2
& op(e2,e2) = e3
& op(e3,e2) != e3 )
| ( op(e3,e3) = e3
& op(e3,e3) = e3
& op(e3,e3) != e3 )
| ( op(e3,e3) = e4
& op(e4,e4) = e3
& op(e3,e4) != e3 )
| ( op(e4,e4) = e0
& op(e0,e0) = e4
& op(e4,e0) != e4 )
| ( op(e4,e4) = e1
& op(e1,e1) = e4
& op(e4,e1) != e4 )
| ( op(e4,e4) = e2
& op(e2,e2) = e4
& op(e4,e2) != e4 )
| ( op(e4,e4) = e3
& op(e3,e3) = e4
& op(e4,e3) != e4 )
| ( op(e4,e4) = e4
& op(e4,e4) = e4
& op(e4,e4) != e4 ) )
& ~ ( op(e0,e0) != op(e0,e0)
& op(op(e0,e0),e0) = e0
& op(op(e0,e0),e0) != e0 )
& ~ ( op(e1,e0) != op(e0,e1)
& op(op(e0,e1),e1) = e0
& op(op(e0,e1),e0) != e1 )
& op(e2,e0) != op(e0,e2)
& op(op(e0,e2),e2) = e0 )
=> op(op(e0,e2),e0) = e2 ),
inference(negate,[],[subgoal_2]) ).
fof(normalize_2_0,plain,
( op(e2,e0) != op(e0,e2)
& op(op(e0,e2),e0) != e2
& op(op(e0,e2),e2) = e0
& ( op(op(e0,e1),e1) != e0
| op(e1,e0) = op(e0,e1)
| op(op(e0,e1),e0) = e1 )
& ( ( op(e0,e1) != e0
& op(e0,e0) = e1
& op(e1,e1) = e0 )
| ( op(e0,e2) != e0
& op(e0,e0) = e2
& op(e2,e2) = e0 )
| ( op(e0,e3) != e0
& op(e0,e0) = e3
& op(e3,e3) = e0 )
| ( op(e0,e4) != e0
& op(e0,e0) = e4
& op(e4,e4) = e0 )
| ( op(e1,e0) != e1
& op(e0,e0) = e1
& op(e1,e1) = e0 )
| ( op(e1,e2) != e1
& op(e1,e1) = e2
& op(e2,e2) = e1 )
| ( op(e1,e3) != e1
& op(e1,e1) = e3
& op(e3,e3) = e1 )
| ( op(e1,e4) != e1
& op(e1,e1) = e4
& op(e4,e4) = e1 )
| ( op(e2,e0) != e2
& op(e0,e0) = e2
& op(e2,e2) = e0 )
| ( op(e2,e1) != e2
& op(e1,e1) = e2
& op(e2,e2) = e1 )
| ( op(e2,e3) != e2
& op(e2,e2) = e3
& op(e3,e3) = e2 )
| ( op(e2,e4) != e2
& op(e2,e2) = e4
& op(e4,e4) = e2 )
| ( op(e3,e0) != e3
& op(e0,e0) = e3
& op(e3,e3) = e0 )
| ( op(e3,e1) != e3
& op(e1,e1) = e3
& op(e3,e3) = e1 )
| ( op(e3,e2) != e3
& op(e2,e2) = e3
& op(e3,e3) = e2 )
| ( op(e3,e4) != e3
& op(e3,e3) = e4
& op(e4,e4) = e3 )
| ( op(e4,e0) != e4
& op(e0,e0) = e4
& op(e4,e4) = e0 )
| ( op(e4,e1) != e4
& op(e1,e1) = e4
& op(e4,e4) = e1 )
| ( op(e4,e2) != e4
& op(e2,e2) = e4
& op(e4,e4) = e2 )
| ( op(e4,e3) != e4
& op(e3,e3) = e4
& op(e4,e4) = e3 ) ) ),
inference(canonicalize,[],[negate_2_0]) ).
fof(normalize_2_1,plain,
op(e2,e0) != op(e0,e2),
inference(conjunct,[],[normalize_2_0]) ).
fof(normalize_2_2,plain,
( op(e0,unit) = e0
& op(e1,unit) = e1
& op(e2,unit) = e2
& op(e3,unit) = e3
& op(e4,unit) = e4
& op(unit,e0) = e0
& op(unit,e1) = e1
& op(unit,e2) = e2
& op(unit,e3) = e3
& op(unit,e4) = e4
& ( unit = e0
| unit = e1
| unit = e2
| unit = e3
| unit = e4 ) ),
inference(canonicalize,[],[ax2]) ).
fof(normalize_2_3,plain,
op(unit,e0) = e0,
inference(conjunct,[],[normalize_2_2]) ).
fof(normalize_2_4,plain,
op(e2,unit) = e2,
inference(conjunct,[],[normalize_2_2]) ).
fof(normalize_2_5,plain,
op(unit,e3) = e3,
inference(conjunct,[],[normalize_2_2]) ).
fof(normalize_2_6,plain,
op(unit,e4) = e4,
inference(conjunct,[],[normalize_2_2]) ).
fof(normalize_2_7,plain,
( unit = e0
| unit = e1
| unit = e2
| unit = e3
| unit = e4 ),
inference(conjunct,[],[normalize_2_2]) ).
fof(normalize_2_8,plain,
( e0 = op(op(e4,e4),e4)
& e1 = op(e4,e4)
& e2 = op(op(e4,op(e4,e4)),e4)
& e3 = op(e4,op(e4,e4)) ),
inference(canonicalize,[],[ax6]) ).
fof(normalize_2_9,plain,
e0 = op(op(e4,e4),e4),
inference(conjunct,[],[normalize_2_8]) ).
fof(normalize_2_10,plain,
e1 = op(e4,e4),
inference(conjunct,[],[normalize_2_8]) ).
fof(normalize_2_11,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_12,plain,
e0 != e4,
inference(conjunct,[],[normalize_2_11]) ).
fof(normalize_2_13,plain,
e2 = op(op(e4,op(e4,e4)),e4),
inference(conjunct,[],[normalize_2_8]) ).
fof(normalize_2_14,plain,
e3 = op(e4,op(e4,e4)),
inference(conjunct,[],[normalize_2_8]) ).
fof(normalize_2_15,plain,
e2 != e4,
inference(conjunct,[],[normalize_2_11]) ).
fof(normalize_2_16,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_17,plain,
op(e4,e1) != op(e4,e3),
inference(conjunct,[],[normalize_2_16]) ).
fof(normalize_2_18,plain,
op(unit,e2) = e2,
inference(conjunct,[],[normalize_2_2]) ).
fof(normalize_2_19,plain,
op(e0,unit) = e0,
inference(conjunct,[],[normalize_2_2]) ).
cnf(refute_2_0,plain,
op(e2,e0) != op(e0,e2),
inference(canonicalize,[],[normalize_2_1]) ).
cnf(refute_2_1,plain,
op(unit,e0) = e0,
inference(canonicalize,[],[normalize_2_3]) ).
cnf(refute_2_2,plain,
op(e2,unit) = e2,
inference(canonicalize,[],[normalize_2_4]) ).
cnf(refute_2_3,plain,
op(unit,e3) = e3,
inference(canonicalize,[],[normalize_2_5]) ).
cnf(refute_2_4,plain,
op(unit,e4) = e4,
inference(canonicalize,[],[normalize_2_6]) ).
cnf(refute_2_5,plain,
( unit = e0
| unit = e1
| unit = e2
| unit = e3
| unit = e4 ),
inference(canonicalize,[],[normalize_2_7]) ).
cnf(refute_2_6,plain,
( op(unit,e4) != e4
| unit != e1
| op(e1,e4) = e4 ),
introduced(tautology,[equality,[$cnf( $equal(op(unit,e4),e4) ),[0,0],$fot(e1)]]) ).
cnf(refute_2_7,plain,
( op(unit,e4) != e4
| op(e1,e4) = e4
| unit = e0
| unit = e2
| unit = e3
| unit = e4 ),
inference(resolve,[$cnf( $equal(unit,e1) )],[refute_2_5,refute_2_6]) ).
cnf(refute_2_8,plain,
( op(e1,e4) = e4
| unit = e0
| unit = e2
| unit = e3
| unit = e4 ),
inference(resolve,[$cnf( $equal(op(unit,e4),e4) )],[refute_2_4,refute_2_7]) ).
cnf(refute_2_9,plain,
e0 = op(op(e4,e4),e4),
inference(canonicalize,[],[normalize_2_9]) ).
cnf(refute_2_10,plain,
e1 = op(e4,e4),
inference(canonicalize,[],[normalize_2_10]) ).
cnf(refute_2_11,plain,
X = X,
introduced(tautology,[refl,[$fot(X)]]) ).
cnf(refute_2_12,plain,
( X != X
| X != Y
| Y = X ),
introduced(tautology,[equality,[$cnf( $equal(X,X) ),[0],$fot(Y)]]) ).
cnf(refute_2_13,plain,
( X != Y
| Y = X ),
inference(resolve,[$cnf( $equal(X,X) )],[refute_2_11,refute_2_12]) ).
cnf(refute_2_14,plain,
( e1 != op(e4,e4)
| op(e4,e4) = e1 ),
inference(subst,[],[refute_2_13:[bind(X,$fot(e1)),bind(Y,$fot(op(e4,e4)))]]) ).
cnf(refute_2_15,plain,
op(e4,e4) = e1,
inference(resolve,[$cnf( $equal(e1,op(e4,e4)) )],[refute_2_10,refute_2_14]) ).
cnf(refute_2_16,plain,
op(op(e4,e4),e4) = op(op(e4,e4),e4),
introduced(tautology,[refl,[$fot(op(op(e4,e4),e4))]]) ).
cnf(refute_2_17,plain,
( op(e4,e4) != e1
| op(op(e4,e4),e4) != op(op(e4,e4),e4)
| op(op(e4,e4),e4) = op(e1,e4) ),
introduced(tautology,[equality,[$cnf( $equal(op(op(e4,e4),e4),op(op(e4,e4),e4)) ),[1,0],$fot(e1)]]) ).
cnf(refute_2_18,plain,
( op(e4,e4) != e1
| op(op(e4,e4),e4) = op(e1,e4) ),
inference(resolve,[$cnf( $equal(op(op(e4,e4),e4),op(op(e4,e4),e4)) )],[refute_2_16,refute_2_17]) ).
cnf(refute_2_19,plain,
op(op(e4,e4),e4) = op(e1,e4),
inference(resolve,[$cnf( $equal(op(e4,e4),e1) )],[refute_2_15,refute_2_18]) ).
cnf(refute_2_20,plain,
( e0 != op(op(e4,e4),e4)
| op(op(e4,e4),e4) != op(e1,e4)
| e0 = op(e1,e4) ),
introduced(tautology,[equality,[$cnf( ~ $equal(e0,op(e1,e4)) ),[0],$fot(op(op(e4,e4),e4))]]) ).
cnf(refute_2_21,plain,
( e0 != op(op(e4,e4),e4)
| e0 = op(e1,e4) ),
inference(resolve,[$cnf( $equal(op(op(e4,e4),e4),op(e1,e4)) )],[refute_2_19,refute_2_20]) ).
cnf(refute_2_22,plain,
e0 = op(e1,e4),
inference(resolve,[$cnf( $equal(e0,op(op(e4,e4),e4)) )],[refute_2_9,refute_2_21]) ).
cnf(refute_2_23,plain,
( e0 != op(e1,e4)
| op(e1,e4) = e0 ),
inference(subst,[],[refute_2_13:[bind(X,$fot(e0)),bind(Y,$fot(op(e1,e4)))]]) ).
cnf(refute_2_24,plain,
op(e1,e4) = e0,
inference(resolve,[$cnf( $equal(e0,op(e1,e4)) )],[refute_2_22,refute_2_23]) ).
cnf(refute_2_25,plain,
( op(e1,e4) != e0
| op(e1,e4) != e4
| e0 = e4 ),
introduced(tautology,[equality,[$cnf( $equal(op(e1,e4),e4) ),[0],$fot(e0)]]) ).
cnf(refute_2_26,plain,
( op(e1,e4) != e4
| e0 = e4 ),
inference(resolve,[$cnf( $equal(op(e1,e4),e0) )],[refute_2_24,refute_2_25]) ).
cnf(refute_2_27,plain,
( e0 = e4
| unit = e0
| unit = e2
| unit = e3
| unit = e4 ),
inference(resolve,[$cnf( $equal(op(e1,e4),e4) )],[refute_2_8,refute_2_26]) ).
cnf(refute_2_28,plain,
e0 != e4,
inference(canonicalize,[],[normalize_2_12]) ).
cnf(refute_2_29,plain,
( unit = e0
| unit = e2
| unit = e3
| unit = e4 ),
inference(resolve,[$cnf( $equal(e0,e4) )],[refute_2_27,refute_2_28]) ).
cnf(refute_2_30,plain,
( op(unit,e4) != e4
| unit != e3
| op(e3,e4) = e4 ),
introduced(tautology,[equality,[$cnf( $equal(op(unit,e4),e4) ),[0,0],$fot(e3)]]) ).
cnf(refute_2_31,plain,
( op(unit,e4) != e4
| op(e3,e4) = e4
| unit = e0
| unit = e2
| unit = e4 ),
inference(resolve,[$cnf( $equal(unit,e3) )],[refute_2_29,refute_2_30]) ).
cnf(refute_2_32,plain,
( op(e3,e4) = e4
| unit = e0
| unit = e2
| unit = e4 ),
inference(resolve,[$cnf( $equal(op(unit,e4),e4) )],[refute_2_4,refute_2_31]) ).
cnf(refute_2_33,plain,
e2 = op(op(e4,op(e4,e4)),e4),
inference(canonicalize,[],[normalize_2_13]) ).
cnf(refute_2_34,plain,
op(e4,op(e4,e4)) = op(e4,op(e4,e4)),
introduced(tautology,[refl,[$fot(op(e4,op(e4,e4)))]]) ).
cnf(refute_2_35,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_36,plain,
( op(e4,e4) != e1
| op(e4,op(e4,e4)) = op(e4,e1) ),
inference(resolve,[$cnf( $equal(op(e4,op(e4,e4)),op(e4,op(e4,e4))) )],[refute_2_34,refute_2_35]) ).
cnf(refute_2_37,plain,
op(e4,op(e4,e4)) = op(e4,e1),
inference(resolve,[$cnf( $equal(op(e4,e4),e1) )],[refute_2_15,refute_2_36]) ).
cnf(refute_2_38,plain,
op(op(e4,op(e4,e4)),e4) = op(op(e4,op(e4,e4)),e4),
introduced(tautology,[refl,[$fot(op(op(e4,op(e4,e4)),e4))]]) ).
cnf(refute_2_39,plain,
( op(e4,op(e4,e4)) != op(e4,e1)
| op(op(e4,op(e4,e4)),e4) != op(op(e4,op(e4,e4)),e4)
| op(op(e4,op(e4,e4)),e4) = op(op(e4,e1),e4) ),
introduced(tautology,[equality,[$cnf( $equal(op(op(e4,op(e4,e4)),e4),op(op(e4,op(e4,e4)),e4)) ),[1,0],$fot(op(e4,e1))]]) ).
cnf(refute_2_40,plain,
( op(e4,op(e4,e4)) != op(e4,e1)
| op(op(e4,op(e4,e4)),e4) = op(op(e4,e1),e4) ),
inference(resolve,[$cnf( $equal(op(op(e4,op(e4,e4)),e4),op(op(e4,op(e4,e4)),e4)) )],[refute_2_38,refute_2_39]) ).
cnf(refute_2_41,plain,
op(op(e4,op(e4,e4)),e4) = op(op(e4,e1),e4),
inference(resolve,[$cnf( $equal(op(e4,op(e4,e4)),op(e4,e1)) )],[refute_2_37,refute_2_40]) ).
cnf(refute_2_42,plain,
( e2 != op(op(e4,op(e4,e4)),e4)
| op(op(e4,op(e4,e4)),e4) != op(op(e4,e1),e4)
| e2 = op(op(e4,e1),e4) ),
introduced(tautology,[equality,[$cnf( ~ $equal(e2,op(op(e4,e1),e4)) ),[0],$fot(op(op(e4,op(e4,e4)),e4))]]) ).
cnf(refute_2_43,plain,
( e2 != op(op(e4,op(e4,e4)),e4)
| e2 = op(op(e4,e1),e4) ),
inference(resolve,[$cnf( $equal(op(op(e4,op(e4,e4)),e4),op(op(e4,e1),e4)) )],[refute_2_41,refute_2_42]) ).
cnf(refute_2_44,plain,
e2 = op(op(e4,e1),e4),
inference(resolve,[$cnf( $equal(e2,op(op(e4,op(e4,e4)),e4)) )],[refute_2_33,refute_2_43]) ).
cnf(refute_2_45,plain,
e3 = op(e4,op(e4,e4)),
inference(canonicalize,[],[normalize_2_14]) ).
cnf(refute_2_46,plain,
( e3 != op(e4,op(e4,e4))
| op(e4,op(e4,e4)) != op(e4,e1)
| e3 = op(e4,e1) ),
introduced(tautology,[equality,[$cnf( ~ $equal(e3,op(e4,e1)) ),[0],$fot(op(e4,op(e4,e4)))]]) ).
cnf(refute_2_47,plain,
( e3 != op(e4,op(e4,e4))
| e3 = op(e4,e1) ),
inference(resolve,[$cnf( $equal(op(e4,op(e4,e4)),op(e4,e1)) )],[refute_2_37,refute_2_46]) ).
cnf(refute_2_48,plain,
e3 = op(e4,e1),
inference(resolve,[$cnf( $equal(e3,op(e4,op(e4,e4))) )],[refute_2_45,refute_2_47]) ).
cnf(refute_2_49,plain,
( e3 != op(e4,e1)
| op(e4,e1) = e3 ),
inference(subst,[],[refute_2_13:[bind(X,$fot(e3)),bind(Y,$fot(op(e4,e1)))]]) ).
cnf(refute_2_50,plain,
op(e4,e1) = e3,
inference(resolve,[$cnf( $equal(e3,op(e4,e1)) )],[refute_2_48,refute_2_49]) ).
cnf(refute_2_51,plain,
op(op(e4,e1),e4) = op(op(e4,e1),e4),
introduced(tautology,[refl,[$fot(op(op(e4,e1),e4))]]) ).
cnf(refute_2_52,plain,
( op(e4,e1) != e3
| op(op(e4,e1),e4) != op(op(e4,e1),e4)
| op(op(e4,e1),e4) = op(e3,e4) ),
introduced(tautology,[equality,[$cnf( $equal(op(op(e4,e1),e4),op(op(e4,e1),e4)) ),[1,0],$fot(e3)]]) ).
cnf(refute_2_53,plain,
( op(e4,e1) != e3
| op(op(e4,e1),e4) = op(e3,e4) ),
inference(resolve,[$cnf( $equal(op(op(e4,e1),e4),op(op(e4,e1),e4)) )],[refute_2_51,refute_2_52]) ).
cnf(refute_2_54,plain,
op(op(e4,e1),e4) = op(e3,e4),
inference(resolve,[$cnf( $equal(op(e4,e1),e3) )],[refute_2_50,refute_2_53]) ).
cnf(refute_2_55,plain,
( e2 != op(op(e4,e1),e4)
| op(op(e4,e1),e4) != op(e3,e4)
| e2 = op(e3,e4) ),
introduced(tautology,[equality,[$cnf( ~ $equal(e2,op(e3,e4)) ),[0],$fot(op(op(e4,e1),e4))]]) ).
cnf(refute_2_56,plain,
( e2 != op(op(e4,e1),e4)
| e2 = op(e3,e4) ),
inference(resolve,[$cnf( $equal(op(op(e4,e1),e4),op(e3,e4)) )],[refute_2_54,refute_2_55]) ).
cnf(refute_2_57,plain,
e2 = op(e3,e4),
inference(resolve,[$cnf( $equal(e2,op(op(e4,e1),e4)) )],[refute_2_44,refute_2_56]) ).
cnf(refute_2_58,plain,
( e2 != op(e3,e4)
| op(e3,e4) = e2 ),
inference(subst,[],[refute_2_13:[bind(X,$fot(e2)),bind(Y,$fot(op(e3,e4)))]]) ).
cnf(refute_2_59,plain,
op(e3,e4) = e2,
inference(resolve,[$cnf( $equal(e2,op(e3,e4)) )],[refute_2_57,refute_2_58]) ).
cnf(refute_2_60,plain,
( op(e3,e4) != e2
| op(e3,e4) != e4
| e2 = e4 ),
introduced(tautology,[equality,[$cnf( $equal(op(e3,e4),e4) ),[0],$fot(e2)]]) ).
cnf(refute_2_61,plain,
( op(e3,e4) != e4
| e2 = e4 ),
inference(resolve,[$cnf( $equal(op(e3,e4),e2) )],[refute_2_59,refute_2_60]) ).
cnf(refute_2_62,plain,
( e2 = e4
| unit = e0
| unit = e2
| unit = e4 ),
inference(resolve,[$cnf( $equal(op(e3,e4),e4) )],[refute_2_32,refute_2_61]) ).
cnf(refute_2_63,plain,
e2 != e4,
inference(canonicalize,[],[normalize_2_15]) ).
cnf(refute_2_64,plain,
( unit = e0
| unit = e2
| unit = e4 ),
inference(resolve,[$cnf( $equal(e2,e4) )],[refute_2_62,refute_2_63]) ).
cnf(refute_2_65,plain,
( op(unit,e3) != e3
| unit != e4
| op(e4,e3) = e3 ),
introduced(tautology,[equality,[$cnf( $equal(op(unit,e3),e3) ),[0,0],$fot(e4)]]) ).
cnf(refute_2_66,plain,
( op(unit,e3) != e3
| op(e4,e3) = e3
| unit = e0
| unit = e2 ),
inference(resolve,[$cnf( $equal(unit,e4) )],[refute_2_64,refute_2_65]) ).
cnf(refute_2_67,plain,
( op(e4,e3) = e3
| unit = e0
| unit = e2 ),
inference(resolve,[$cnf( $equal(op(unit,e3),e3) )],[refute_2_3,refute_2_66]) ).
cnf(refute_2_68,plain,
op(e4,e1) != op(e4,e3),
inference(canonicalize,[],[normalize_2_17]) ).
cnf(refute_2_69,plain,
( e3 != op(e4,e3)
| op(e4,e1) != e3
| op(e4,e1) = op(e4,e3) ),
introduced(tautology,[equality,[$cnf( $equal(op(e4,e1),e3) ),[1],$fot(op(e4,e3))]]) ).
cnf(refute_2_70,plain,
( e3 != op(e4,e3)
| op(e4,e1) = op(e4,e3) ),
inference(resolve,[$cnf( $equal(op(e4,e1),e3) )],[refute_2_50,refute_2_69]) ).
cnf(refute_2_71,plain,
e3 != op(e4,e3),
inference(resolve,[$cnf( $equal(op(e4,e1),op(e4,e3)) )],[refute_2_70,refute_2_68]) ).
cnf(refute_2_72,plain,
( op(e4,e3) != e3
| e3 = op(e4,e3) ),
inference(subst,[],[refute_2_13:[bind(X,$fot(op(e4,e3))),bind(Y,$fot(e3))]]) ).
cnf(refute_2_73,plain,
op(e4,e3) != e3,
inference(resolve,[$cnf( $equal(e3,op(e4,e3)) )],[refute_2_72,refute_2_71]) ).
cnf(refute_2_74,plain,
( unit = e0
| unit = e2 ),
inference(resolve,[$cnf( $equal(op(e4,e3),e3) )],[refute_2_67,refute_2_73]) ).
cnf(refute_2_75,plain,
( op(e2,unit) != e2
| unit != e0
| op(e2,e0) = e2 ),
introduced(tautology,[equality,[$cnf( $equal(op(e2,unit),e2) ),[0,1],$fot(e0)]]) ).
cnf(refute_2_76,plain,
( op(e2,unit) != e2
| op(e2,e0) = e2
| unit = e2 ),
inference(resolve,[$cnf( $equal(unit,e0) )],[refute_2_74,refute_2_75]) ).
cnf(refute_2_77,plain,
( op(e2,e0) = e2
| unit = e2 ),
inference(resolve,[$cnf( $equal(op(e2,unit),e2) )],[refute_2_2,refute_2_76]) ).
cnf(refute_2_78,plain,
( e2 != op(e0,e2)
| op(e2,e0) != e2
| op(e2,e0) = op(e0,e2) ),
introduced(tautology,[equality,[$cnf( $equal(op(e2,e0),e2) ),[1],$fot(op(e0,e2))]]) ).
cnf(refute_2_79,plain,
( e2 != op(e0,e2)
| op(e2,e0) = op(e0,e2)
| unit = e2 ),
inference(resolve,[$cnf( $equal(op(e2,e0),e2) )],[refute_2_77,refute_2_78]) ).
cnf(refute_2_80,plain,
( e2 != op(e0,e2)
| unit = e2 ),
inference(resolve,[$cnf( $equal(op(e2,e0),op(e0,e2)) )],[refute_2_79,refute_2_0]) ).
cnf(refute_2_81,plain,
op(unit,e2) = e2,
inference(canonicalize,[],[normalize_2_18]) ).
cnf(refute_2_82,plain,
( op(unit,e2) != e2
| unit != e0
| op(e0,e2) = e2 ),
introduced(tautology,[equality,[$cnf( $equal(op(unit,e2),e2) ),[0,0],$fot(e0)]]) ).
cnf(refute_2_83,plain,
( op(unit,e2) != e2
| op(e0,e2) = e2
| unit = e2 ),
inference(resolve,[$cnf( $equal(unit,e0) )],[refute_2_74,refute_2_82]) ).
cnf(refute_2_84,plain,
( op(e0,e2) = e2
| unit = e2 ),
inference(resolve,[$cnf( $equal(op(unit,e2),e2) )],[refute_2_81,refute_2_83]) ).
cnf(refute_2_85,plain,
( e2 != e2
| op(e0,e2) != e2
| e2 = op(e0,e2) ),
introduced(tautology,[equality,[$cnf( ~ $equal(e2,op(e0,e2)) ),[1],$fot(e2)]]) ).
cnf(refute_2_86,plain,
( e2 != e2
| e2 = op(e0,e2)
| unit = e2 ),
inference(resolve,[$cnf( $equal(op(e0,e2),e2) )],[refute_2_84,refute_2_85]) ).
cnf(refute_2_87,plain,
( e2 != e2
| unit = e2 ),
inference(resolve,[$cnf( $equal(e2,op(e0,e2)) )],[refute_2_86,refute_2_80]) ).
cnf(refute_2_88,plain,
e2 = e2,
introduced(tautology,[refl,[$fot(e2)]]) ).
cnf(refute_2_89,plain,
unit = e2,
inference(resolve,[$cnf( $equal(e2,e2) )],[refute_2_88,refute_2_87]) ).
cnf(refute_2_90,plain,
op(unit,e0) = op(unit,e0),
introduced(tautology,[refl,[$fot(op(unit,e0))]]) ).
cnf(refute_2_91,plain,
( op(unit,e0) != op(unit,e0)
| unit != e2
| op(unit,e0) = op(e2,e0) ),
introduced(tautology,[equality,[$cnf( $equal(op(unit,e0),op(unit,e0)) ),[1,0],$fot(e2)]]) ).
cnf(refute_2_92,plain,
( unit != e2
| op(unit,e0) = op(e2,e0) ),
inference(resolve,[$cnf( $equal(op(unit,e0),op(unit,e0)) )],[refute_2_90,refute_2_91]) ).
cnf(refute_2_93,plain,
op(unit,e0) = op(e2,e0),
inference(resolve,[$cnf( $equal(unit,e2) )],[refute_2_89,refute_2_92]) ).
cnf(refute_2_94,plain,
( op(unit,e0) != e0
| op(unit,e0) != op(e2,e0)
| op(e2,e0) = e0 ),
introduced(tautology,[equality,[$cnf( $equal(op(unit,e0),e0) ),[0],$fot(op(e2,e0))]]) ).
cnf(refute_2_95,plain,
( op(unit,e0) != e0
| op(e2,e0) = e0 ),
inference(resolve,[$cnf( $equal(op(unit,e0),op(e2,e0)) )],[refute_2_93,refute_2_94]) ).
cnf(refute_2_96,plain,
op(e2,e0) = e0,
inference(resolve,[$cnf( $equal(op(unit,e0),e0) )],[refute_2_1,refute_2_95]) ).
cnf(refute_2_97,plain,
( e0 != op(e0,e2)
| op(e2,e0) != e0
| op(e2,e0) = op(e0,e2) ),
introduced(tautology,[equality,[$cnf( $equal(op(e2,e0),e0) ),[1],$fot(op(e0,e2))]]) ).
cnf(refute_2_98,plain,
( e0 != op(e0,e2)
| op(e2,e0) = op(e0,e2) ),
inference(resolve,[$cnf( $equal(op(e2,e0),e0) )],[refute_2_96,refute_2_97]) ).
cnf(refute_2_99,plain,
op(e0,unit) = e0,
inference(canonicalize,[],[normalize_2_19]) ).
cnf(refute_2_100,plain,
op(e0,unit) = op(e0,unit),
introduced(tautology,[refl,[$fot(op(e0,unit))]]) ).
cnf(refute_2_101,plain,
( op(e0,unit) != op(e0,unit)
| unit != e2
| op(e0,unit) = op(e0,e2) ),
introduced(tautology,[equality,[$cnf( $equal(op(e0,unit),op(e0,unit)) ),[1,1],$fot(e2)]]) ).
cnf(refute_2_102,plain,
( unit != e2
| op(e0,unit) = op(e0,e2) ),
inference(resolve,[$cnf( $equal(op(e0,unit),op(e0,unit)) )],[refute_2_100,refute_2_101]) ).
cnf(refute_2_103,plain,
op(e0,unit) = op(e0,e2),
inference(resolve,[$cnf( $equal(unit,e2) )],[refute_2_89,refute_2_102]) ).
cnf(refute_2_104,plain,
( op(e0,unit) != e0
| op(e0,unit) != op(e0,e2)
| op(e0,e2) = e0 ),
introduced(tautology,[equality,[$cnf( $equal(op(e0,unit),e0) ),[0],$fot(op(e0,e2))]]) ).
cnf(refute_2_105,plain,
( op(e0,unit) != e0
| op(e0,e2) = e0 ),
inference(resolve,[$cnf( $equal(op(e0,unit),op(e0,e2)) )],[refute_2_103,refute_2_104]) ).
cnf(refute_2_106,plain,
op(e0,e2) = e0,
inference(resolve,[$cnf( $equal(op(e0,unit),e0) )],[refute_2_99,refute_2_105]) ).
cnf(refute_2_107,plain,
( e0 != e0
| op(e0,e2) != e0
| e0 = op(e0,e2) ),
introduced(tautology,[equality,[$cnf( ~ $equal(e0,op(e0,e2)) ),[1],$fot(e0)]]) ).
cnf(refute_2_108,plain,
( e0 != e0
| e0 = op(e0,e2) ),
inference(resolve,[$cnf( $equal(op(e0,e2),e0) )],[refute_2_106,refute_2_107]) ).
cnf(refute_2_109,plain,
( e0 != e0
| op(e2,e0) = op(e0,e2) ),
inference(resolve,[$cnf( $equal(e0,op(e0,e2)) )],[refute_2_108,refute_2_98]) ).
cnf(refute_2_110,plain,
e0 != e0,
inference(resolve,[$cnf( $equal(op(e2,e0),op(e0,e2)) )],[refute_2_109,refute_2_0]) ).
cnf(refute_2_111,plain,
e0 = e0,
introduced(tautology,[refl,[$fot(e0)]]) ).
cnf(refute_2_112,plain,
$false,
inference(resolve,[$cnf( $equal(e0,e0) )],[refute_2_111,refute_2_110]) ).
fof(negate_3_0,plain,
~ ( ( ( ( op(e0,e0) = e0
& op(e0,e0) = e0
& op(e0,e0) != e0 )
| ( op(e0,e0) = e1
& op(e1,e1) = e0
& op(e0,e1) != e0 )
| ( op(e0,e0) = e2
& op(e2,e2) = e0
& op(e0,e2) != e0 )
| ( op(e0,e0) = e3
& op(e3,e3) = e0
& op(e0,e3) != e0 )
| ( op(e0,e0) = e4
& op(e4,e4) = e0
& op(e0,e4) != e0 )
| ( op(e1,e1) = e0
& op(e0,e0) = e1
& op(e1,e0) != e1 )
| ( op(e1,e1) = e1
& op(e1,e1) = e1
& op(e1,e1) != e1 )
| ( op(e1,e1) = e2
& op(e2,e2) = e1
& op(e1,e2) != e1 )
| ( op(e1,e1) = e3
& op(e3,e3) = e1
& op(e1,e3) != e1 )
| ( op(e1,e1) = e4
& op(e4,e4) = e1
& op(e1,e4) != e1 )
| ( op(e2,e2) = e0
& op(e0,e0) = e2
& op(e2,e0) != e2 )
| ( op(e2,e2) = e1
& op(e1,e1) = e2
& op(e2,e1) != e2 )
| ( op(e2,e2) = e2
& op(e2,e2) = e2
& op(e2,e2) != e2 )
| ( op(e2,e2) = e3
& op(e3,e3) = e2
& op(e2,e3) != e2 )
| ( op(e2,e2) = e4
& op(e4,e4) = e2
& op(e2,e4) != e2 )
| ( op(e3,e3) = e0
& op(e0,e0) = e3
& op(e3,e0) != e3 )
| ( op(e3,e3) = e1
& op(e1,e1) = e3
& op(e3,e1) != e3 )
| ( op(e3,e3) = e2
& op(e2,e2) = e3
& op(e3,e2) != e3 )
| ( op(e3,e3) = e3
& op(e3,e3) = e3
& op(e3,e3) != e3 )
| ( op(e3,e3) = e4
& op(e4,e4) = e3
& op(e3,e4) != e3 )
| ( op(e4,e4) = e0
& op(e0,e0) = e4
& op(e4,e0) != e4 )
| ( op(e4,e4) = e1
& op(e1,e1) = e4
& op(e4,e1) != e4 )
| ( op(e4,e4) = e2
& op(e2,e2) = e4
& op(e4,e2) != e4 )
| ( op(e4,e4) = e3
& op(e3,e3) = e4
& op(e4,e3) != e4 )
| ( op(e4,e4) = e4
& op(e4,e4) = e4
& op(e4,e4) != e4 ) )
& ~ ( op(e0,e0) != op(e0,e0)
& op(op(e0,e0),e0) = e0
& op(op(e0,e0),e0) != e0 )
& ~ ( op(e1,e0) != op(e0,e1)
& op(op(e0,e1),e1) = e0
& op(op(e0,e1),e0) != e1 )
& ~ ( op(e2,e0) != op(e0,e2)
& op(op(e0,e2),e2) = e0
& op(op(e0,e2),e0) != e2 )
& op(e3,e0) != op(e0,e3)
& op(op(e0,e3),e3) = e0 )
=> op(op(e0,e3),e0) = e3 ),
inference(negate,[],[subgoal_3]) ).
fof(normalize_3_0,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_1,plain,
( op(e3,e0) = e0
| op(e3,e0) = e1
| op(e3,e0) = e2
| op(e3,e0) = e3
| op(e3,e0) = e4 ),
inference(conjunct,[],[normalize_3_0]) ).
fof(normalize_3_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_3_3,plain,
op(e3,e0) != op(e3,e1),
inference(conjunct,[],[normalize_3_2]) ).
fof(normalize_3_4,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,[],[ax3]) ).
fof(normalize_3_5,plain,
( op(e0,e1) = e0
| op(e1,e1) = e0
| op(e2,e1) = e0
| op(e3,e1) = e0
| op(e4,e1) = e0 ),
inference(conjunct,[],[normalize_3_4]) ).
fof(normalize_3_6,plain,
( e0 = op(op(e4,e4),e4)
& e1 = op(e4,e4)
& e2 = op(op(e4,op(e4,e4)),e4)
& e3 = op(e4,op(e4,e4)) ),
inference(canonicalize,[],[ax6]) ).
fof(normalize_3_7,plain,
e3 = op(e4,op(e4,e4)),
inference(conjunct,[],[normalize_3_6]) ).
fof(normalize_3_8,plain,
e1 = op(e4,e4),
inference(conjunct,[],[normalize_3_6]) ).
fof(normalize_3_9,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_10,plain,
e0 != e3,
inference(conjunct,[],[normalize_3_9]) ).
fof(normalize_3_11,plain,
op(e1,e1) != op(e1,e4),
inference(conjunct,[],[normalize_3_2]) ).
fof(normalize_3_12,plain,
e0 = op(op(e4,e4),e4),
inference(conjunct,[],[normalize_3_6]) ).
fof(normalize_3_13,plain,
( op(e0,unit) = e0
& op(e1,unit) = e1
& op(e2,unit) = e2
& op(e3,unit) = e3
& op(e4,unit) = e4
& op(unit,e0) = e0
& op(unit,e1) = e1
& op(unit,e2) = e2
& op(unit,e3) = e3
& op(unit,e4) = e4
& ( unit = e0
| unit = e1
| unit = e2
| unit = e3
| unit = e4 ) ),
inference(canonicalize,[],[ax2]) ).
fof(normalize_3_14,plain,
op(unit,e1) = e1,
inference(conjunct,[],[normalize_3_13]) ).
fof(normalize_3_15,plain,
( op(e3,e0) != op(e0,e3)
& op(op(e0,e3),e0) != e3
& op(op(e0,e3),e3) = e0
& ( op(op(e0,e1),e1) != e0
| op(e1,e0) = op(e0,e1)
| op(op(e0,e1),e0) = e1 )
& ( op(op(e0,e2),e2) != e0
| op(e2,e0) = op(e0,e2)
| op(op(e0,e2),e0) = e2 )
& ( ( op(e0,e1) != e0
& op(e0,e0) = e1
& op(e1,e1) = e0 )
| ( op(e0,e2) != e0
& op(e0,e0) = e2
& op(e2,e2) = e0 )
| ( op(e0,e3) != e0
& op(e0,e0) = e3
& op(e3,e3) = e0 )
| ( op(e0,e4) != e0
& op(e0,e0) = e4
& op(e4,e4) = e0 )
| ( op(e1,e0) != e1
& op(e0,e0) = e1
& op(e1,e1) = e0 )
| ( op(e1,e2) != e1
& op(e1,e1) = e2
& op(e2,e2) = e1 )
| ( op(e1,e3) != e1
& op(e1,e1) = e3
& op(e3,e3) = e1 )
| ( op(e1,e4) != e1
& op(e1,e1) = e4
& op(e4,e4) = e1 )
| ( op(e2,e0) != e2
& op(e0,e0) = e2
& op(e2,e2) = e0 )
| ( op(e2,e1) != e2
& op(e1,e1) = e2
& op(e2,e2) = e1 )
| ( op(e2,e3) != e2
& op(e2,e2) = e3
& op(e3,e3) = e2 )
| ( op(e2,e4) != e2
& op(e2,e2) = e4
& op(e4,e4) = e2 )
| ( op(e3,e0) != e3
& op(e0,e0) = e3
& op(e3,e3) = e0 )
| ( op(e3,e1) != e3
& op(e1,e1) = e3
& op(e3,e3) = e1 )
| ( op(e3,e2) != e3
& op(e2,e2) = e3
& op(e3,e3) = e2 )
| ( op(e3,e4) != e3
& op(e3,e3) = e4
& op(e4,e4) = e3 )
| ( op(e4,e0) != e4
& op(e0,e0) = e4
& op(e4,e4) = e0 )
| ( op(e4,e1) != e4
& op(e1,e1) = e4
& op(e4,e4) = e1 )
| ( op(e4,e2) != e4
& op(e2,e2) = e4
& op(e4,e4) = e2 )
| ( op(e4,e3) != e4
& op(e3,e3) = e4
& op(e4,e4) = e3 ) ) ),
inference(canonicalize,[],[negate_3_0]) ).
fof(normalize_3_16,plain,
op(e3,e0) != op(e0,e3),
inference(conjunct,[],[normalize_3_15]) ).
fof(normalize_3_17,plain,
op(e3,unit) = e3,
inference(conjunct,[],[normalize_3_13]) ).
fof(normalize_3_18,plain,
op(e2,unit) = e2,
inference(conjunct,[],[normalize_3_13]) ).
fof(normalize_3_19,plain,
op(unit,e4) = e4,
inference(conjunct,[],[normalize_3_13]) ).
fof(normalize_3_20,plain,
( unit = e0
| unit = e1
| unit = e2
| unit = e3
| unit = e4 ),
inference(conjunct,[],[normalize_3_13]) ).
fof(normalize_3_21,plain,
e0 != e4,
inference(conjunct,[],[normalize_3_9]) ).
fof(normalize_3_22,plain,
e2 = op(op(e4,op(e4,e4)),e4),
inference(conjunct,[],[normalize_3_6]) ).
fof(normalize_3_23,plain,
e2 != e4,
inference(conjunct,[],[normalize_3_9]) ).
fof(normalize_3_24,plain,
op(e2,e4) != op(e3,e4),
inference(conjunct,[],[normalize_3_2]) ).
fof(normalize_3_25,plain,
op(unit,e3) = e3,
inference(conjunct,[],[normalize_3_13]) ).
fof(normalize_3_26,plain,
op(e1,e4) != op(e4,e4),
inference(conjunct,[],[normalize_3_2]) ).
fof(normalize_3_27,plain,
op(e0,e1) != op(e0,e2),
inference(conjunct,[],[normalize_3_2]) ).
fof(normalize_3_28,plain,
op(e0,unit) = e0,
inference(conjunct,[],[normalize_3_13]) ).
fof(normalize_3_29,plain,
op(e0,e0) != op(e3,e0),
inference(conjunct,[],[normalize_3_2]) ).
fof(normalize_3_30,plain,
( op(e0,e0) = e1
| op(e0,e1) = e1
| op(e0,e2) = e1
| op(e0,e3) = e1
| op(e0,e4) = e1 ),
inference(conjunct,[],[normalize_3_4]) ).
fof(normalize_3_31,plain,
op(e0,e4) != op(e4,e4),
inference(conjunct,[],[normalize_3_2]) ).
fof(normalize_3_32,plain,
op(e0,e1) != op(e0,e3),
inference(conjunct,[],[normalize_3_2]) ).
fof(normalize_3_33,plain,
op(op(e0,e3),e3) = e0,
inference(conjunct,[],[normalize_3_15]) ).
fof(normalize_3_34,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_0]) ).
fof(normalize_3_35,plain,
op(e0,e3) != op(e4,e3),
inference(conjunct,[],[normalize_3_2]) ).
fof(normalize_3_36,plain,
( op(e4,e0) = e0
| op(e4,e1) = e0
| op(e4,e2) = e0
| op(e4,e3) = e0
| op(e4,e4) = e0 ),
inference(conjunct,[],[normalize_3_4]) ).
fof(normalize_3_37,plain,
op(e4,unit) = e4,
inference(conjunct,[],[normalize_3_13]) ).
fof(normalize_3_38,plain,
op(e2,e0) != op(e4,e0),
inference(conjunct,[],[normalize_3_2]) ).
fof(normalize_3_39,plain,
op(unit,e0) = e0,
inference(conjunct,[],[normalize_3_13]) ).
fof(normalize_3_40,plain,
op(e0,e3) != op(e0,e4),
inference(conjunct,[],[normalize_3_2]) ).
fof(normalize_3_41,plain,
op(e0,e4) != op(e2,e4),
inference(conjunct,[],[normalize_3_2]) ).
fof(normalize_3_42,plain,
( op(e0,e4) = e0
| op(e0,e4) = e1
| op(e0,e4) = e2
| op(e0,e4) = e3
| op(e0,e4) = e4 ),
inference(conjunct,[],[normalize_3_0]) ).
fof(normalize_3_43,plain,
op(e0,e4) != op(e1,e4),
inference(conjunct,[],[normalize_3_2]) ).
fof(normalize_3_44,plain,
op(e0,e4) != op(e3,e4),
inference(conjunct,[],[normalize_3_2]) ).
fof(normalize_3_45,plain,
op(e1,e3) != op(e1,e4),
inference(conjunct,[],[normalize_3_2]) ).
fof(normalize_3_46,plain,
( op(e0,e1) = e0
| op(e0,e1) = e1
| op(e0,e1) = e2
| op(e0,e1) = e3
| op(e0,e1) = e4 ),
inference(conjunct,[],[normalize_3_0]) ).
fof(normalize_3_47,plain,
op(e0,e1) != op(e4,e1),
inference(conjunct,[],[normalize_3_2]) ).
fof(normalize_3_48,plain,
op(e0,e1) != op(e2,e1),
inference(conjunct,[],[normalize_3_2]) ).
fof(normalize_3_49,plain,
op(e3,e4) != op(e4,e4),
inference(conjunct,[],[normalize_3_2]) ).
fof(normalize_3_50,plain,
e1 != e4,
inference(conjunct,[],[normalize_3_9]) ).
fof(normalize_3_51,plain,
op(e3,e0) != op(e3,e4),
inference(conjunct,[],[normalize_3_2]) ).
fof(normalize_3_52,plain,
op(e3,e0) != op(e3,e2),
inference(conjunct,[],[normalize_3_2]) ).
cnf(refute_3_0,plain,
( op(e3,e0) = e0
| op(e3,e0) = e1
| op(e3,e0) = e2
| op(e3,e0) = e3
| op(e3,e0) = e4 ),
inference(canonicalize,[],[normalize_3_1]) ).
cnf(refute_3_1,plain,
op(e3,e0) != op(e3,e1),
inference(canonicalize,[],[normalize_3_3]) ).
cnf(refute_3_2,plain,
( op(e0,e1) = e0
| op(e1,e1) = e0
| op(e2,e1) = e0
| op(e3,e1) = e0
| op(e4,e1) = e0 ),
inference(canonicalize,[],[normalize_3_5]) ).
cnf(refute_3_3,plain,
e3 = op(e4,op(e4,e4)),
inference(canonicalize,[],[normalize_3_7]) ).
cnf(refute_3_4,plain,
e1 = op(e4,e4),
inference(canonicalize,[],[normalize_3_8]) ).
cnf(refute_3_5,plain,
X = X,
introduced(tautology,[refl,[$fot(X)]]) ).
cnf(refute_3_6,plain,
( X != X
| X != Y
| Y = X ),
introduced(tautology,[equality,[$cnf( $equal(X,X) ),[0],$fot(Y)]]) ).
cnf(refute_3_7,plain,
( X != Y
| Y = X ),
inference(resolve,[$cnf( $equal(X,X) )],[refute_3_5,refute_3_6]) ).
cnf(refute_3_8,plain,
( e1 != op(e4,e4)
| op(e4,e4) = e1 ),
inference(subst,[],[refute_3_7:[bind(X,$fot(e1)),bind(Y,$fot(op(e4,e4)))]]) ).
cnf(refute_3_9,plain,
op(e4,e4) = e1,
inference(resolve,[$cnf( $equal(e1,op(e4,e4)) )],[refute_3_4,refute_3_8]) ).
cnf(refute_3_10,plain,
op(e4,op(e4,e4)) = op(e4,op(e4,e4)),
introduced(tautology,[refl,[$fot(op(e4,op(e4,e4)))]]) ).
cnf(refute_3_11,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_12,plain,
( op(e4,e4) != e1
| op(e4,op(e4,e4)) = op(e4,e1) ),
inference(resolve,[$cnf( $equal(op(e4,op(e4,e4)),op(e4,op(e4,e4))) )],[refute_3_10,refute_3_11]) ).
cnf(refute_3_13,plain,
op(e4,op(e4,e4)) = op(e4,e1),
inference(resolve,[$cnf( $equal(op(e4,e4),e1) )],[refute_3_9,refute_3_12]) ).
cnf(refute_3_14,plain,
( e3 != op(e4,op(e4,e4))
| op(e4,op(e4,e4)) != op(e4,e1)
| e3 = op(e4,e1) ),
introduced(tautology,[equality,[$cnf( ~ $equal(e3,op(e4,e1)) ),[0],$fot(op(e4,op(e4,e4)))]]) ).
cnf(refute_3_15,plain,
( e3 != op(e4,op(e4,e4))
| e3 = op(e4,e1) ),
inference(resolve,[$cnf( $equal(op(e4,op(e4,e4)),op(e4,e1)) )],[refute_3_13,refute_3_14]) ).
cnf(refute_3_16,plain,
e3 = op(e4,e1),
inference(resolve,[$cnf( $equal(e3,op(e4,op(e4,e4))) )],[refute_3_3,refute_3_15]) ).
cnf(refute_3_17,plain,
( e3 != op(e4,e1)
| op(e4,e1) = e3 ),
inference(subst,[],[refute_3_7:[bind(X,$fot(e3)),bind(Y,$fot(op(e4,e1)))]]) ).
cnf(refute_3_18,plain,
op(e4,e1) = e3,
inference(resolve,[$cnf( $equal(e3,op(e4,e1)) )],[refute_3_16,refute_3_17]) ).
cnf(refute_3_19,plain,
( op(e4,e1) != e0
| op(e4,e1) != e3
| e3 = e0 ),
introduced(tautology,[equality,[$cnf( $equal(op(e4,e1),e0) ),[0],$fot(e3)]]) ).
cnf(refute_3_20,plain,
( op(e4,e1) != e0
| e3 = e0 ),
inference(resolve,[$cnf( $equal(op(e4,e1),e3) )],[refute_3_18,refute_3_19]) ).
cnf(refute_3_21,plain,
( e3 = e0
| op(e0,e1) = e0
| op(e1,e1) = e0
| op(e2,e1) = e0
| op(e3,e1) = e0 ),
inference(resolve,[$cnf( $equal(op(e4,e1),e0) )],[refute_3_2,refute_3_20]) ).
cnf(refute_3_22,plain,
e0 != e3,
inference(canonicalize,[],[normalize_3_10]) ).
cnf(refute_3_23,plain,
( e3 != e0
| e0 = e3 ),
inference(subst,[],[refute_3_7:[bind(X,$fot(e3)),bind(Y,$fot(e0))]]) ).
cnf(refute_3_24,plain,
e3 != e0,
inference(resolve,[$cnf( $equal(e0,e3) )],[refute_3_23,refute_3_22]) ).
cnf(refute_3_25,plain,
( op(e0,e1) = e0
| op(e1,e1) = e0
| op(e2,e1) = e0
| op(e3,e1) = e0 ),
inference(resolve,[$cnf( $equal(e3,e0) )],[refute_3_21,refute_3_24]) ).
cnf(refute_3_26,plain,
op(e1,e1) != op(e1,e4),
inference(canonicalize,[],[normalize_3_11]) ).
cnf(refute_3_27,plain,
e0 = op(op(e4,e4),e4),
inference(canonicalize,[],[normalize_3_12]) ).
cnf(refute_3_28,plain,
op(op(e4,e4),e4) = op(op(e4,e4),e4),
introduced(tautology,[refl,[$fot(op(op(e4,e4),e4))]]) ).
cnf(refute_3_29,plain,
( op(e4,e4) != e1
| op(op(e4,e4),e4) != op(op(e4,e4),e4)
| op(op(e4,e4),e4) = op(e1,e4) ),
introduced(tautology,[equality,[$cnf( $equal(op(op(e4,e4),e4),op(op(e4,e4),e4)) ),[1,0],$fot(e1)]]) ).
cnf(refute_3_30,plain,
( op(e4,e4) != e1
| op(op(e4,e4),e4) = op(e1,e4) ),
inference(resolve,[$cnf( $equal(op(op(e4,e4),e4),op(op(e4,e4),e4)) )],[refute_3_28,refute_3_29]) ).
cnf(refute_3_31,plain,
op(op(e4,e4),e4) = op(e1,e4),
inference(resolve,[$cnf( $equal(op(e4,e4),e1) )],[refute_3_9,refute_3_30]) ).
cnf(refute_3_32,plain,
( e0 != op(op(e4,e4),e4)
| op(op(e4,e4),e4) != op(e1,e4)
| e0 = op(e1,e4) ),
introduced(tautology,[equality,[$cnf( ~ $equal(e0,op(e1,e4)) ),[0],$fot(op(op(e4,e4),e4))]]) ).
cnf(refute_3_33,plain,
( e0 != op(op(e4,e4),e4)
| e0 = op(e1,e4) ),
inference(resolve,[$cnf( $equal(op(op(e4,e4),e4),op(e1,e4)) )],[refute_3_31,refute_3_32]) ).
cnf(refute_3_34,plain,
e0 = op(e1,e4),
inference(resolve,[$cnf( $equal(e0,op(op(e4,e4),e4)) )],[refute_3_27,refute_3_33]) ).
cnf(refute_3_35,plain,
( e0 != op(e1,e4)
| op(e1,e4) = e0 ),
inference(subst,[],[refute_3_7:[bind(X,$fot(e0)),bind(Y,$fot(op(e1,e4)))]]) ).
cnf(refute_3_36,plain,
op(e1,e4) = e0,
inference(resolve,[$cnf( $equal(e0,op(e1,e4)) )],[refute_3_34,refute_3_35]) ).
cnf(refute_3_37,plain,
( op(e1,e1) != e0
| op(e1,e4) != e0
| op(e1,e1) = op(e1,e4) ),
introduced(tautology,[equality,[$cnf( ~ $equal(op(e1,e1),op(e1,e4)) ),[1],$fot(e0)]]) ).
cnf(refute_3_38,plain,
( op(e1,e1) != e0
| op(e1,e1) = op(e1,e4) ),
inference(resolve,[$cnf( $equal(op(e1,e4),e0) )],[refute_3_36,refute_3_37]) ).
cnf(refute_3_39,plain,
op(e1,e1) != e0,
inference(resolve,[$cnf( $equal(op(e1,e1),op(e1,e4)) )],[refute_3_38,refute_3_26]) ).
cnf(refute_3_40,plain,
( op(e0,e1) = e0
| op(e2,e1) = e0
| op(e3,e1) = e0 ),
inference(resolve,[$cnf( $equal(op(e1,e1),e0) )],[refute_3_25,refute_3_39]) ).
cnf(refute_3_41,plain,
op(unit,e1) = e1,
inference(canonicalize,[],[normalize_3_14]) ).
cnf(refute_3_42,plain,
op(e3,e0) != op(e0,e3),
inference(canonicalize,[],[normalize_3_16]) ).
cnf(refute_3_43,plain,
op(e3,unit) = e3,
inference(canonicalize,[],[normalize_3_17]) ).
cnf(refute_3_44,plain,
op(e2,unit) = e2,
inference(canonicalize,[],[normalize_3_18]) ).
cnf(refute_3_45,plain,
op(unit,e4) = e4,
inference(canonicalize,[],[normalize_3_19]) ).
cnf(refute_3_46,plain,
( unit = e0
| unit = e1
| unit = e2
| unit = e3
| unit = e4 ),
inference(canonicalize,[],[normalize_3_20]) ).
cnf(refute_3_47,plain,
( op(unit,e4) != e4
| unit != e1
| op(e1,e4) = e4 ),
introduced(tautology,[equality,[$cnf( $equal(op(unit,e4),e4) ),[0,0],$fot(e1)]]) ).
cnf(refute_3_48,plain,
( op(unit,e4) != e4
| op(e1,e4) = e4
| unit = e0
| unit = e2
| unit = e3
| unit = e4 ),
inference(resolve,[$cnf( $equal(unit,e1) )],[refute_3_46,refute_3_47]) ).
cnf(refute_3_49,plain,
( op(e1,e4) = e4
| unit = e0
| unit = e2
| unit = e3
| unit = e4 ),
inference(resolve,[$cnf( $equal(op(unit,e4),e4) )],[refute_3_45,refute_3_48]) ).
cnf(refute_3_50,plain,
( op(e1,e4) != e0
| op(e1,e4) != e4
| e0 = e4 ),
introduced(tautology,[equality,[$cnf( $equal(op(e1,e4),e4) ),[0],$fot(e0)]]) ).
cnf(refute_3_51,plain,
( op(e1,e4) != e4
| e0 = e4 ),
inference(resolve,[$cnf( $equal(op(e1,e4),e0) )],[refute_3_36,refute_3_50]) ).
cnf(refute_3_52,plain,
( e0 = e4
| unit = e0
| unit = e2
| unit = e3
| unit = e4 ),
inference(resolve,[$cnf( $equal(op(e1,e4),e4) )],[refute_3_49,refute_3_51]) ).
cnf(refute_3_53,plain,
e0 != e4,
inference(canonicalize,[],[normalize_3_21]) ).
cnf(refute_3_54,plain,
( unit = e0
| unit = e2
| unit = e3
| unit = e4 ),
inference(resolve,[$cnf( $equal(e0,e4) )],[refute_3_52,refute_3_53]) ).
cnf(refute_3_55,plain,
( op(unit,e4) != e4
| unit != e3
| op(e3,e4) = e4 ),
introduced(tautology,[equality,[$cnf( $equal(op(unit,e4),e4) ),[0,0],$fot(e3)]]) ).
cnf(refute_3_56,plain,
( op(unit,e4) != e4
| op(e3,e4) = e4
| unit = e0
| unit = e2
| unit = e4 ),
inference(resolve,[$cnf( $equal(unit,e3) )],[refute_3_54,refute_3_55]) ).
cnf(refute_3_57,plain,
( op(e3,e4) = e4
| unit = e0
| unit = e2
| unit = e4 ),
inference(resolve,[$cnf( $equal(op(unit,e4),e4) )],[refute_3_45,refute_3_56]) ).
cnf(refute_3_58,plain,
e2 = op(op(e4,op(e4,e4)),e4),
inference(canonicalize,[],[normalize_3_22]) ).
cnf(refute_3_59,plain,
op(op(e4,op(e4,e4)),e4) = op(op(e4,op(e4,e4)),e4),
introduced(tautology,[refl,[$fot(op(op(e4,op(e4,e4)),e4))]]) ).
cnf(refute_3_60,plain,
( op(e4,op(e4,e4)) != op(e4,e1)
| op(op(e4,op(e4,e4)),e4) != op(op(e4,op(e4,e4)),e4)
| op(op(e4,op(e4,e4)),e4) = op(op(e4,e1),e4) ),
introduced(tautology,[equality,[$cnf( $equal(op(op(e4,op(e4,e4)),e4),op(op(e4,op(e4,e4)),e4)) ),[1,0],$fot(op(e4,e1))]]) ).
cnf(refute_3_61,plain,
( op(e4,op(e4,e4)) != op(e4,e1)
| op(op(e4,op(e4,e4)),e4) = op(op(e4,e1),e4) ),
inference(resolve,[$cnf( $equal(op(op(e4,op(e4,e4)),e4),op(op(e4,op(e4,e4)),e4)) )],[refute_3_59,refute_3_60]) ).
cnf(refute_3_62,plain,
op(op(e4,op(e4,e4)),e4) = op(op(e4,e1),e4),
inference(resolve,[$cnf( $equal(op(e4,op(e4,e4)),op(e4,e1)) )],[refute_3_13,refute_3_61]) ).
cnf(refute_3_63,plain,
( e2 != op(op(e4,op(e4,e4)),e4)
| op(op(e4,op(e4,e4)),e4) != op(op(e4,e1),e4)
| e2 = op(op(e4,e1),e4) ),
introduced(tautology,[equality,[$cnf( ~ $equal(e2,op(op(e4,e1),e4)) ),[0],$fot(op(op(e4,op(e4,e4)),e4))]]) ).
cnf(refute_3_64,plain,
( e2 != op(op(e4,op(e4,e4)),e4)
| e2 = op(op(e4,e1),e4) ),
inference(resolve,[$cnf( $equal(op(op(e4,op(e4,e4)),e4),op(op(e4,e1),e4)) )],[refute_3_62,refute_3_63]) ).
cnf(refute_3_65,plain,
e2 = op(op(e4,e1),e4),
inference(resolve,[$cnf( $equal(e2,op(op(e4,op(e4,e4)),e4)) )],[refute_3_58,refute_3_64]) ).
cnf(refute_3_66,plain,
op(op(e4,e1),e4) = op(op(e4,e1),e4),
introduced(tautology,[refl,[$fot(op(op(e4,e1),e4))]]) ).
cnf(refute_3_67,plain,
( op(e4,e1) != e3
| op(op(e4,e1),e4) != op(op(e4,e1),e4)
| op(op(e4,e1),e4) = op(e3,e4) ),
introduced(tautology,[equality,[$cnf( $equal(op(op(e4,e1),e4),op(op(e4,e1),e4)) ),[1,0],$fot(e3)]]) ).
cnf(refute_3_68,plain,
( op(e4,e1) != e3
| op(op(e4,e1),e4) = op(e3,e4) ),
inference(resolve,[$cnf( $equal(op(op(e4,e1),e4),op(op(e4,e1),e4)) )],[refute_3_66,refute_3_67]) ).
cnf(refute_3_69,plain,
op(op(e4,e1),e4) = op(e3,e4),
inference(resolve,[$cnf( $equal(op(e4,e1),e3) )],[refute_3_18,refute_3_68]) ).
cnf(refute_3_70,plain,
( e2 != op(op(e4,e1),e4)
| op(op(e4,e1),e4) != op(e3,e4)
| e2 = op(e3,e4) ),
introduced(tautology,[equality,[$cnf( ~ $equal(e2,op(e3,e4)) ),[0],$fot(op(op(e4,e1),e4))]]) ).
cnf(refute_3_71,plain,
( e2 != op(op(e4,e1),e4)
| e2 = op(e3,e4) ),
inference(resolve,[$cnf( $equal(op(op(e4,e1),e4),op(e3,e4)) )],[refute_3_69,refute_3_70]) ).
cnf(refute_3_72,plain,
e2 = op(e3,e4),
inference(resolve,[$cnf( $equal(e2,op(op(e4,e1),e4)) )],[refute_3_65,refute_3_71]) ).
cnf(refute_3_73,plain,
( e2 != op(e3,e4)
| op(e3,e4) = e2 ),
inference(subst,[],[refute_3_7:[bind(X,$fot(e2)),bind(Y,$fot(op(e3,e4)))]]) ).
cnf(refute_3_74,plain,
op(e3,e4) = e2,
inference(resolve,[$cnf( $equal(e2,op(e3,e4)) )],[refute_3_72,refute_3_73]) ).
cnf(refute_3_75,plain,
( op(e3,e4) != e2
| op(e3,e4) != e4
| e2 = e4 ),
introduced(tautology,[equality,[$cnf( $equal(op(e3,e4),e4) ),[0],$fot(e2)]]) ).
cnf(refute_3_76,plain,
( op(e3,e4) != e4
| e2 = e4 ),
inference(resolve,[$cnf( $equal(op(e3,e4),e2) )],[refute_3_74,refute_3_75]) ).
cnf(refute_3_77,plain,
( e2 = e4
| unit = e0
| unit = e2
| unit = e4 ),
inference(resolve,[$cnf( $equal(op(e3,e4),e4) )],[refute_3_57,refute_3_76]) ).
cnf(refute_3_78,plain,
e2 != e4,
inference(canonicalize,[],[normalize_3_23]) ).
cnf(refute_3_79,plain,
( unit = e0
| unit = e2
| unit = e4 ),
inference(resolve,[$cnf( $equal(e2,e4) )],[refute_3_77,refute_3_78]) ).
cnf(refute_3_80,plain,
( op(e2,unit) != e2
| unit != e4
| op(e2,e4) = e2 ),
introduced(tautology,[equality,[$cnf( $equal(op(e2,unit),e2) ),[0,1],$fot(e4)]]) ).
cnf(refute_3_81,plain,
( op(e2,unit) != e2
| op(e2,e4) = e2
| unit = e0
| unit = e2 ),
inference(resolve,[$cnf( $equal(unit,e4) )],[refute_3_79,refute_3_80]) ).
cnf(refute_3_82,plain,
( op(e2,e4) = e2
| unit = e0
| unit = e2 ),
inference(resolve,[$cnf( $equal(op(e2,unit),e2) )],[refute_3_44,refute_3_81]) ).
cnf(refute_3_83,plain,
op(e2,e4) != op(e3,e4),
inference(canonicalize,[],[normalize_3_24]) ).
cnf(refute_3_84,plain,
( op(e2,e4) != e2
| op(e3,e4) != e2
| op(e2,e4) = op(e3,e4) ),
introduced(tautology,[equality,[$cnf( ~ $equal(op(e2,e4),op(e3,e4)) ),[1],$fot(e2)]]) ).
cnf(refute_3_85,plain,
( op(e2,e4) != e2
| op(e2,e4) = op(e3,e4) ),
inference(resolve,[$cnf( $equal(op(e3,e4),e2) )],[refute_3_74,refute_3_84]) ).
cnf(refute_3_86,plain,
op(e2,e4) != e2,
inference(resolve,[$cnf( $equal(op(e2,e4),op(e3,e4)) )],[refute_3_85,refute_3_83]) ).
cnf(refute_3_87,plain,
( unit = e0
| unit = e2 ),
inference(resolve,[$cnf( $equal(op(e2,e4),e2) )],[refute_3_82,refute_3_86]) ).
cnf(refute_3_88,plain,
( op(e3,unit) != e3
| unit != e0
| op(e3,e0) = e3 ),
introduced(tautology,[equality,[$cnf( $equal(op(e3,unit),e3) ),[0,1],$fot(e0)]]) ).
cnf(refute_3_89,plain,
( op(e3,unit) != e3
| op(e3,e0) = e3
| unit = e2 ),
inference(resolve,[$cnf( $equal(unit,e0) )],[refute_3_87,refute_3_88]) ).
cnf(refute_3_90,plain,
( op(e3,e0) = e3
| unit = e2 ),
inference(resolve,[$cnf( $equal(op(e3,unit),e3) )],[refute_3_43,refute_3_89]) ).
cnf(refute_3_91,plain,
( e3 != op(e0,e3)
| op(e3,e0) != e3
| op(e3,e0) = op(e0,e3) ),
introduced(tautology,[equality,[$cnf( $equal(op(e3,e0),e3) ),[1],$fot(op(e0,e3))]]) ).
cnf(refute_3_92,plain,
( e3 != op(e0,e3)
| op(e3,e0) = op(e0,e3)
| unit = e2 ),
inference(resolve,[$cnf( $equal(op(e3,e0),e3) )],[refute_3_90,refute_3_91]) ).
cnf(refute_3_93,plain,
( e3 != op(e0,e3)
| unit = e2 ),
inference(resolve,[$cnf( $equal(op(e3,e0),op(e0,e3)) )],[refute_3_92,refute_3_42]) ).
cnf(refute_3_94,plain,
op(unit,e3) = e3,
inference(canonicalize,[],[normalize_3_25]) ).
cnf(refute_3_95,plain,
( op(unit,e3) != e3
| unit != e0
| op(e0,e3) = e3 ),
introduced(tautology,[equality,[$cnf( $equal(op(unit,e3),e3) ),[0,0],$fot(e0)]]) ).
cnf(refute_3_96,plain,
( op(unit,e3) != e3
| op(e0,e3) = e3
| unit = e2 ),
inference(resolve,[$cnf( $equal(unit,e0) )],[refute_3_87,refute_3_95]) ).
cnf(refute_3_97,plain,
( op(e0,e3) = e3
| unit = e2 ),
inference(resolve,[$cnf( $equal(op(unit,e3),e3) )],[refute_3_94,refute_3_96]) ).
cnf(refute_3_98,plain,
( e3 != e3
| op(e0,e3) != e3
| e3 = op(e0,e3) ),
introduced(tautology,[equality,[$cnf( ~ $equal(e3,op(e0,e3)) ),[1],$fot(e3)]]) ).
cnf(refute_3_99,plain,
( e3 != e3
| e3 = op(e0,e3)
| unit = e2 ),
inference(resolve,[$cnf( $equal(op(e0,e3),e3) )],[refute_3_97,refute_3_98]) ).
cnf(refute_3_100,plain,
( e3 != e3
| unit = e2 ),
inference(resolve,[$cnf( $equal(e3,op(e0,e3)) )],[refute_3_99,refute_3_93]) ).
cnf(refute_3_101,plain,
e3 = e3,
introduced(tautology,[refl,[$fot(e3)]]) ).
cnf(refute_3_102,plain,
unit = e2,
inference(resolve,[$cnf( $equal(e3,e3) )],[refute_3_101,refute_3_100]) ).
cnf(refute_3_103,plain,
op(unit,e1) = op(unit,e1),
introduced(tautology,[refl,[$fot(op(unit,e1))]]) ).
cnf(refute_3_104,plain,
( op(unit,e1) != op(unit,e1)
| unit != e2
| op(unit,e1) = op(e2,e1) ),
introduced(tautology,[equality,[$cnf( $equal(op(unit,e1),op(unit,e1)) ),[1,0],$fot(e2)]]) ).
cnf(refute_3_105,plain,
( unit != e2
| op(unit,e1) = op(e2,e1) ),
inference(resolve,[$cnf( $equal(op(unit,e1),op(unit,e1)) )],[refute_3_103,refute_3_104]) ).
cnf(refute_3_106,plain,
op(unit,e1) = op(e2,e1),
inference(resolve,[$cnf( $equal(unit,e2) )],[refute_3_102,refute_3_105]) ).
cnf(refute_3_107,plain,
( op(unit,e1) != e1
| op(unit,e1) != op(e2,e1)
| op(e2,e1) = e1 ),
introduced(tautology,[equality,[$cnf( $equal(op(unit,e1),e1) ),[0],$fot(op(e2,e1))]]) ).
cnf(refute_3_108,plain,
( op(unit,e1) != e1
| op(e2,e1) = e1 ),
inference(resolve,[$cnf( $equal(op(unit,e1),op(e2,e1)) )],[refute_3_106,refute_3_107]) ).
cnf(refute_3_109,plain,
op(e2,e1) = e1,
inference(resolve,[$cnf( $equal(op(unit,e1),e1) )],[refute_3_41,refute_3_108]) ).
cnf(refute_3_110,plain,
( op(e2,e1) != e0
| op(e2,e1) != e1
| e1 = e0 ),
introduced(tautology,[equality,[$cnf( $equal(op(e2,e1),e0) ),[0],$fot(e1)]]) ).
cnf(refute_3_111,plain,
( op(e2,e1) != e0
| e1 = e0 ),
inference(resolve,[$cnf( $equal(op(e2,e1),e1) )],[refute_3_109,refute_3_110]) ).
cnf(refute_3_112,plain,
( e1 = e0
| op(e0,e1) = e0
| op(e3,e1) = e0 ),
inference(resolve,[$cnf( $equal(op(e2,e1),e0) )],[refute_3_40,refute_3_111]) ).
cnf(refute_3_113,plain,
op(e1,e4) != op(e4,e4),
inference(canonicalize,[],[normalize_3_26]) ).
cnf(refute_3_114,plain,
( op(e1,e4) != e1
| op(e4,e4) != e1
| op(e1,e4) = op(e4,e4) ),
introduced(tautology,[equality,[$cnf( ~ $equal(op(e1,e4),op(e4,e4)) ),[1],$fot(e1)]]) ).
cnf(refute_3_115,plain,
( op(e1,e4) != e1
| op(e1,e4) = op(e4,e4) ),
inference(resolve,[$cnf( $equal(op(e4,e4),e1) )],[refute_3_9,refute_3_114]) ).
cnf(refute_3_116,plain,
op(e1,e4) != e1,
inference(resolve,[$cnf( $equal(op(e1,e4),op(e4,e4)) )],[refute_3_115,refute_3_113]) ).
cnf(refute_3_117,plain,
( e0 != e1
| op(e1,e4) != e0
| op(e1,e4) = e1 ),
introduced(tautology,[equality,[$cnf( $equal(op(e1,e4),e0) ),[1],$fot(e1)]]) ).
cnf(refute_3_118,plain,
( e0 != e1
| op(e1,e4) = e1 ),
inference(resolve,[$cnf( $equal(op(e1,e4),e0) )],[refute_3_36,refute_3_117]) ).
cnf(refute_3_119,plain,
e0 != e1,
inference(resolve,[$cnf( $equal(op(e1,e4),e1) )],[refute_3_118,refute_3_116]) ).
cnf(refute_3_120,plain,
( e1 != e0
| e0 = e1 ),
inference(subst,[],[refute_3_7:[bind(X,$fot(e1)),bind(Y,$fot(e0))]]) ).
cnf(refute_3_121,plain,
e1 != e0,
inference(resolve,[$cnf( $equal(e0,e1) )],[refute_3_120,refute_3_119]) ).
cnf(refute_3_122,plain,
( op(e0,e1) = e0
| op(e3,e1) = e0 ),
inference(resolve,[$cnf( $equal(e1,e0) )],[refute_3_112,refute_3_121]) ).
cnf(refute_3_123,plain,
op(e0,e1) != op(e0,e2),
inference(canonicalize,[],[normalize_3_27]) ).
cnf(refute_3_124,plain,
op(e0,unit) = e0,
inference(canonicalize,[],[normalize_3_28]) ).
cnf(refute_3_125,plain,
op(e0,unit) = op(e0,unit),
introduced(tautology,[refl,[$fot(op(e0,unit))]]) ).
cnf(refute_3_126,plain,
( op(e0,unit) != op(e0,unit)
| unit != e2
| op(e0,unit) = op(e0,e2) ),
introduced(tautology,[equality,[$cnf( $equal(op(e0,unit),op(e0,unit)) ),[1,1],$fot(e2)]]) ).
cnf(refute_3_127,plain,
( unit != e2
| op(e0,unit) = op(e0,e2) ),
inference(resolve,[$cnf( $equal(op(e0,unit),op(e0,unit)) )],[refute_3_125,refute_3_126]) ).
cnf(refute_3_128,plain,
op(e0,unit) = op(e0,e2),
inference(resolve,[$cnf( $equal(unit,e2) )],[refute_3_102,refute_3_127]) ).
cnf(refute_3_129,plain,
( op(e0,unit) != e0
| op(e0,unit) != op(e0,e2)
| op(e0,e2) = e0 ),
introduced(tautology,[equality,[$cnf( $equal(op(e0,unit),e0) ),[0],$fot(op(e0,e2))]]) ).
cnf(refute_3_130,plain,
( op(e0,unit) != e0
| op(e0,e2) = e0 ),
inference(resolve,[$cnf( $equal(op(e0,unit),op(e0,e2)) )],[refute_3_128,refute_3_129]) ).
cnf(refute_3_131,plain,
op(e0,e2) = e0,
inference(resolve,[$cnf( $equal(op(e0,unit),e0) )],[refute_3_124,refute_3_130]) ).
cnf(refute_3_132,plain,
( op(e0,e1) != e0
| op(e0,e2) != e0
| op(e0,e1) = op(e0,e2) ),
introduced(tautology,[equality,[$cnf( ~ $equal(op(e0,e1),op(e0,e2)) ),[1],$fot(e0)]]) ).
cnf(refute_3_133,plain,
( op(e0,e1) != e0
| op(e0,e1) = op(e0,e2) ),
inference(resolve,[$cnf( $equal(op(e0,e2),e0) )],[refute_3_131,refute_3_132]) ).
cnf(refute_3_134,plain,
op(e0,e1) != e0,
inference(resolve,[$cnf( $equal(op(e0,e1),op(e0,e2)) )],[refute_3_133,refute_3_123]) ).
cnf(refute_3_135,plain,
op(e3,e1) = e0,
inference(resolve,[$cnf( $equal(op(e0,e1),e0) )],[refute_3_122,refute_3_134]) ).
cnf(refute_3_136,plain,
( op(e3,e0) != e0
| op(e3,e1) != e0
| op(e3,e0) = op(e3,e1) ),
introduced(tautology,[equality,[$cnf( ~ $equal(op(e3,e0),op(e3,e1)) ),[1],$fot(e0)]]) ).
cnf(refute_3_137,plain,
( op(e3,e0) != e0
| op(e3,e0) = op(e3,e1) ),
inference(resolve,[$cnf( $equal(op(e3,e1),e0) )],[refute_3_135,refute_3_136]) ).
cnf(refute_3_138,plain,
op(e3,e0) != e0,
inference(resolve,[$cnf( $equal(op(e3,e0),op(e3,e1)) )],[refute_3_137,refute_3_1]) ).
cnf(refute_3_139,plain,
( op(e3,e0) = e1
| op(e3,e0) = e2
| op(e3,e0) = e3
| op(e3,e0) = e4 ),
inference(resolve,[$cnf( $equal(op(e3,e0),e0) )],[refute_3_0,refute_3_138]) ).
cnf(refute_3_140,plain,
op(e0,e0) != op(e3,e0),
inference(canonicalize,[],[normalize_3_29]) ).
cnf(refute_3_141,plain,
( op(e0,e0) = e1
| op(e0,e1) = e1
| op(e0,e2) = e1
| op(e0,e3) = e1
| op(e0,e4) = e1 ),
inference(canonicalize,[],[normalize_3_30]) ).
cnf(refute_3_142,plain,
op(e0,e4) != op(e4,e4),
inference(canonicalize,[],[normalize_3_31]) ).
cnf(refute_3_143,plain,
( op(e0,e4) != e1
| op(e4,e4) != e1
| op(e0,e4) = op(e4,e4) ),
introduced(tautology,[equality,[$cnf( ~ $equal(op(e0,e4),op(e4,e4)) ),[1],$fot(e1)]]) ).
cnf(refute_3_144,plain,
( op(e0,e4) != e1
| op(e0,e4) = op(e4,e4) ),
inference(resolve,[$cnf( $equal(op(e4,e4),e1) )],[refute_3_9,refute_3_143]) ).
cnf(refute_3_145,plain,
op(e0,e4) != e1,
inference(resolve,[$cnf( $equal(op(e0,e4),op(e4,e4)) )],[refute_3_144,refute_3_142]) ).
cnf(refute_3_146,plain,
( op(e0,e0) = e1
| op(e0,e1) = e1
| op(e0,e2) = e1
| op(e0,e3) = e1 ),
inference(resolve,[$cnf( $equal(op(e0,e4),e1) )],[refute_3_141,refute_3_145]) ).
cnf(refute_3_147,plain,
op(e0,e1) != op(e0,e3),
inference(canonicalize,[],[normalize_3_32]) ).
cnf(refute_3_148,plain,
op(op(e0,e3),e3) = e0,
inference(canonicalize,[],[normalize_3_33]) ).
cnf(refute_3_149,plain,
( op(e0,e3) = e0
| op(e0,e3) = e1
| op(e0,e3) = e2
| op(e0,e3) = e3
| op(e0,e3) = e4 ),
inference(canonicalize,[],[normalize_3_34]) ).
cnf(refute_3_150,plain,
op(e0,e3) != op(e4,e3),
inference(canonicalize,[],[normalize_3_35]) ).
cnf(refute_3_151,plain,
( op(e4,e0) = e0
| op(e4,e1) = e0
| op(e4,e2) = e0
| op(e4,e3) = e0
| op(e4,e4) = e0 ),
inference(canonicalize,[],[normalize_3_36]) ).
cnf(refute_3_152,plain,
( e3 = e0
| op(e4,e0) = e0
| op(e4,e2) = e0
| op(e4,e3) = e0
| op(e4,e4) = e0 ),
inference(resolve,[$cnf( $equal(op(e4,e1),e0) )],[refute_3_151,refute_3_20]) ).
cnf(refute_3_153,plain,
( op(e4,e4) != e0
| op(e4,e4) != e1
| e1 = e0 ),
introduced(tautology,[equality,[$cnf( $equal(op(e4,e4),e0) ),[0],$fot(e1)]]) ).
cnf(refute_3_154,plain,
( op(e4,e4) != e0
| e1 = e0 ),
inference(resolve,[$cnf( $equal(op(e4,e4),e1) )],[refute_3_9,refute_3_153]) ).
cnf(refute_3_155,plain,
( e1 = e0
| e3 = e0
| op(e4,e0) = e0
| op(e4,e2) = e0
| op(e4,e3) = e0 ),
inference(resolve,[$cnf( $equal(op(e4,e4),e0) )],[refute_3_152,refute_3_154]) ).
cnf(refute_3_156,plain,
( e3 = e0
| op(e4,e0) = e0
| op(e4,e2) = e0
| op(e4,e3) = e0 ),
inference(resolve,[$cnf( $equal(e1,e0) )],[refute_3_155,refute_3_121]) ).
cnf(refute_3_157,plain,
( op(e4,e0) = e0
| op(e4,e2) = e0
| op(e4,e3) = e0 ),
inference(resolve,[$cnf( $equal(e3,e0) )],[refute_3_156,refute_3_24]) ).
cnf(refute_3_158,plain,
op(e4,unit) = e4,
inference(canonicalize,[],[normalize_3_37]) ).
cnf(refute_3_159,plain,
op(e4,unit) = op(e4,unit),
introduced(tautology,[refl,[$fot(op(e4,unit))]]) ).
cnf(refute_3_160,plain,
( op(e4,unit) != op(e4,unit)
| unit != e2
| op(e4,unit) = op(e4,e2) ),
introduced(tautology,[equality,[$cnf( $equal(op(e4,unit),op(e4,unit)) ),[1,1],$fot(e2)]]) ).
cnf(refute_3_161,plain,
( unit != e2
| op(e4,unit) = op(e4,e2) ),
inference(resolve,[$cnf( $equal(op(e4,unit),op(e4,unit)) )],[refute_3_159,refute_3_160]) ).
cnf(refute_3_162,plain,
op(e4,unit) = op(e4,e2),
inference(resolve,[$cnf( $equal(unit,e2) )],[refute_3_102,refute_3_161]) ).
cnf(refute_3_163,plain,
( op(e4,unit) != e4
| op(e4,unit) != op(e4,e2)
| op(e4,e2) = e4 ),
introduced(tautology,[equality,[$cnf( $equal(op(e4,unit),e4) ),[0],$fot(op(e4,e2))]]) ).
cnf(refute_3_164,plain,
( op(e4,unit) != e4
| op(e4,e2) = e4 ),
inference(resolve,[$cnf( $equal(op(e4,unit),op(e4,e2)) )],[refute_3_162,refute_3_163]) ).
cnf(refute_3_165,plain,
op(e4,e2) = e4,
inference(resolve,[$cnf( $equal(op(e4,unit),e4) )],[refute_3_158,refute_3_164]) ).
cnf(refute_3_166,plain,
( op(e4,e2) != e0
| op(e4,e2) != e4
| e4 = e0 ),
introduced(tautology,[equality,[$cnf( $equal(op(e4,e2),e0) ),[0],$fot(e4)]]) ).
cnf(refute_3_167,plain,
( op(e4,e2) != e0
| e4 = e0 ),
inference(resolve,[$cnf( $equal(op(e4,e2),e4) )],[refute_3_165,refute_3_166]) ).
cnf(refute_3_168,plain,
( e4 = e0
| op(e4,e0) = e0
| op(e4,e3) = e0 ),
inference(resolve,[$cnf( $equal(op(e4,e2),e0) )],[refute_3_157,refute_3_167]) ).
cnf(refute_3_169,plain,
( e4 != e0
| e0 = e4 ),
inference(subst,[],[refute_3_7:[bind(X,$fot(e4)),bind(Y,$fot(e0))]]) ).
cnf(refute_3_170,plain,
e4 != e0,
inference(resolve,[$cnf( $equal(e0,e4) )],[refute_3_169,refute_3_53]) ).
cnf(refute_3_171,plain,
( op(e4,e0) = e0
| op(e4,e3) = e0 ),
inference(resolve,[$cnf( $equal(e4,e0) )],[refute_3_168,refute_3_170]) ).
cnf(refute_3_172,plain,
op(e2,e0) != op(e4,e0),
inference(canonicalize,[],[normalize_3_38]) ).
cnf(refute_3_173,plain,
op(unit,e0) = e0,
inference(canonicalize,[],[normalize_3_39]) ).
cnf(refute_3_174,plain,
op(unit,e0) = op(unit,e0),
introduced(tautology,[refl,[$fot(op(unit,e0))]]) ).
cnf(refute_3_175,plain,
( op(unit,e0) != op(unit,e0)
| unit != e2
| op(unit,e0) = op(e2,e0) ),
introduced(tautology,[equality,[$cnf( $equal(op(unit,e0),op(unit,e0)) ),[1,0],$fot(e2)]]) ).
cnf(refute_3_176,plain,
( unit != e2
| op(unit,e0) = op(e2,e0) ),
inference(resolve,[$cnf( $equal(op(unit,e0),op(unit,e0)) )],[refute_3_174,refute_3_175]) ).
cnf(refute_3_177,plain,
op(unit,e0) = op(e2,e0),
inference(resolve,[$cnf( $equal(unit,e2) )],[refute_3_102,refute_3_176]) ).
cnf(refute_3_178,plain,
( op(unit,e0) != e0
| op(unit,e0) != op(e2,e0)
| op(e2,e0) = e0 ),
introduced(tautology,[equality,[$cnf( $equal(op(unit,e0),e0) ),[0],$fot(op(e2,e0))]]) ).
cnf(refute_3_179,plain,
( op(unit,e0) != e0
| op(e2,e0) = e0 ),
inference(resolve,[$cnf( $equal(op(unit,e0),op(e2,e0)) )],[refute_3_177,refute_3_178]) ).
cnf(refute_3_180,plain,
op(e2,e0) = e0,
inference(resolve,[$cnf( $equal(op(unit,e0),e0) )],[refute_3_173,refute_3_179]) ).
cnf(refute_3_181,plain,
( e0 != op(e4,e0)
| op(e2,e0) != e0
| op(e2,e0) = op(e4,e0) ),
introduced(tautology,[equality,[$cnf( $equal(op(e2,e0),e0) ),[1],$fot(op(e4,e0))]]) ).
cnf(refute_3_182,plain,
( e0 != op(e4,e0)
| op(e2,e0) = op(e4,e0) ),
inference(resolve,[$cnf( $equal(op(e2,e0),e0) )],[refute_3_180,refute_3_181]) ).
cnf(refute_3_183,plain,
e0 != op(e4,e0),
inference(resolve,[$cnf( $equal(op(e2,e0),op(e4,e0)) )],[refute_3_182,refute_3_172]) ).
cnf(refute_3_184,plain,
( op(e4,e0) != e0
| e0 = op(e4,e0) ),
inference(subst,[],[refute_3_7:[bind(X,$fot(op(e4,e0))),bind(Y,$fot(e0))]]) ).
cnf(refute_3_185,plain,
op(e4,e0) != e0,
inference(resolve,[$cnf( $equal(e0,op(e4,e0)) )],[refute_3_184,refute_3_183]) ).
cnf(refute_3_186,plain,
op(e4,e3) = e0,
inference(resolve,[$cnf( $equal(op(e4,e0),e0) )],[refute_3_171,refute_3_185]) ).
cnf(refute_3_187,plain,
( op(e0,e3) != e0
| op(e4,e3) != e0
| op(e0,e3) = op(e4,e3) ),
introduced(tautology,[equality,[$cnf( ~ $equal(op(e0,e3),op(e4,e3)) ),[1],$fot(e0)]]) ).
cnf(refute_3_188,plain,
( op(e0,e3) != e0
| op(e0,e3) = op(e4,e3) ),
inference(resolve,[$cnf( $equal(op(e4,e3),e0) )],[refute_3_186,refute_3_187]) ).
cnf(refute_3_189,plain,
op(e0,e3) != e0,
inference(resolve,[$cnf( $equal(op(e0,e3),op(e4,e3)) )],[refute_3_188,refute_3_150]) ).
cnf(refute_3_190,plain,
( op(e0,e3) = e1
| op(e0,e3) = e2
| op(e0,e3) = e3
| op(e0,e3) = e4 ),
inference(resolve,[$cnf( $equal(op(e0,e3),e0) )],[refute_3_149,refute_3_189]) ).
cnf(refute_3_191,plain,
op(e0,e3) != op(e0,e4),
inference(canonicalize,[],[normalize_3_40]) ).
cnf(refute_3_192,plain,
op(e0,e4) != op(e2,e4),
inference(canonicalize,[],[normalize_3_41]) ).
cnf(refute_3_193,plain,
( op(e0,e4) = e0
| op(e0,e4) = e1
| op(e0,e4) = e2
| op(e0,e4) = e3
| op(e0,e4) = e4 ),
inference(canonicalize,[],[normalize_3_42]) ).
cnf(refute_3_194,plain,
( op(e0,e4) = e0
| op(e0,e4) = e2
| op(e0,e4) = e3
| op(e0,e4) = e4 ),
inference(resolve,[$cnf( $equal(op(e0,e4),e1) )],[refute_3_193,refute_3_145]) ).
cnf(refute_3_195,plain,
op(e0,e4) != op(e1,e4),
inference(canonicalize,[],[normalize_3_43]) ).
cnf(refute_3_196,plain,
( op(e0,e4) != e0
| op(e1,e4) != e0
| op(e0,e4) = op(e1,e4) ),
introduced(tautology,[equality,[$cnf( ~ $equal(op(e0,e4),op(e1,e4)) ),[1],$fot(e0)]]) ).
cnf(refute_3_197,plain,
( op(e0,e4) != e0
| op(e0,e4) = op(e1,e4) ),
inference(resolve,[$cnf( $equal(op(e1,e4),e0) )],[refute_3_36,refute_3_196]) ).
cnf(refute_3_198,plain,
op(e0,e4) != e0,
inference(resolve,[$cnf( $equal(op(e0,e4),op(e1,e4)) )],[refute_3_197,refute_3_195]) ).
cnf(refute_3_199,plain,
( op(e0,e4) = e2
| op(e0,e4) = e3
| op(e0,e4) = e4 ),
inference(resolve,[$cnf( $equal(op(e0,e4),e0) )],[refute_3_194,refute_3_198]) ).
cnf(refute_3_200,plain,
op(e0,e4) != op(e3,e4),
inference(canonicalize,[],[normalize_3_44]) ).
cnf(refute_3_201,plain,
( op(e0,e4) != e2
| op(e3,e4) != e2
| op(e0,e4) = op(e3,e4) ),
introduced(tautology,[equality,[$cnf( ~ $equal(op(e0,e4),op(e3,e4)) ),[1],$fot(e2)]]) ).
cnf(refute_3_202,plain,
( op(e0,e4) != e2
| op(e0,e4) = op(e3,e4) ),
inference(resolve,[$cnf( $equal(op(e3,e4),e2) )],[refute_3_74,refute_3_201]) ).
cnf(refute_3_203,plain,
op(e0,e4) != e2,
inference(resolve,[$cnf( $equal(op(e0,e4),op(e3,e4)) )],[refute_3_202,refute_3_200]) ).
cnf(refute_3_204,plain,
( op(e0,e4) = e3
| op(e0,e4) = e4 ),
inference(resolve,[$cnf( $equal(op(e0,e4),e2) )],[refute_3_199,refute_3_203]) ).
cnf(refute_3_205,plain,
( e4 != op(e2,e4)
| op(e0,e4) != e4
| op(e0,e4) = op(e2,e4) ),
introduced(tautology,[equality,[$cnf( $equal(op(e0,e4),e4) ),[1],$fot(op(e2,e4))]]) ).
cnf(refute_3_206,plain,
( e4 != op(e2,e4)
| op(e0,e4) = e3
| op(e0,e4) = op(e2,e4) ),
inference(resolve,[$cnf( $equal(op(e0,e4),e4) )],[refute_3_204,refute_3_205]) ).
cnf(refute_3_207,plain,
( e4 != op(e2,e4)
| op(e0,e4) = e3 ),
inference(resolve,[$cnf( $equal(op(e0,e4),op(e2,e4)) )],[refute_3_206,refute_3_192]) ).
cnf(refute_3_208,plain,
op(unit,e4) = op(unit,e4),
introduced(tautology,[refl,[$fot(op(unit,e4))]]) ).
cnf(refute_3_209,plain,
( op(unit,e4) != op(unit,e4)
| unit != e2
| op(unit,e4) = op(e2,e4) ),
introduced(tautology,[equality,[$cnf( $equal(op(unit,e4),op(unit,e4)) ),[1,0],$fot(e2)]]) ).
cnf(refute_3_210,plain,
( unit != e2
| op(unit,e4) = op(e2,e4) ),
inference(resolve,[$cnf( $equal(op(unit,e4),op(unit,e4)) )],[refute_3_208,refute_3_209]) ).
cnf(refute_3_211,plain,
op(unit,e4) = op(e2,e4),
inference(resolve,[$cnf( $equal(unit,e2) )],[refute_3_102,refute_3_210]) ).
cnf(refute_3_212,plain,
( op(unit,e4) != e4
| op(unit,e4) != op(e2,e4)
| op(e2,e4) = e4 ),
introduced(tautology,[equality,[$cnf( $equal(op(unit,e4),e4) ),[0],$fot(op(e2,e4))]]) ).
cnf(refute_3_213,plain,
( op(unit,e4) != e4
| op(e2,e4) = e4 ),
inference(resolve,[$cnf( $equal(op(unit,e4),op(e2,e4)) )],[refute_3_211,refute_3_212]) ).
cnf(refute_3_214,plain,
op(e2,e4) = e4,
inference(resolve,[$cnf( $equal(op(unit,e4),e4) )],[refute_3_45,refute_3_213]) ).
cnf(refute_3_215,plain,
( e4 != e4
| op(e2,e4) != e4
| e4 = op(e2,e4) ),
introduced(tautology,[equality,[$cnf( ~ $equal(e4,op(e2,e4)) ),[1],$fot(e4)]]) ).
cnf(refute_3_216,plain,
( e4 != e4
| e4 = op(e2,e4) ),
inference(resolve,[$cnf( $equal(op(e2,e4),e4) )],[refute_3_214,refute_3_215]) ).
cnf(refute_3_217,plain,
( e4 != e4
| op(e0,e4) = e3 ),
inference(resolve,[$cnf( $equal(e4,op(e2,e4)) )],[refute_3_216,refute_3_207]) ).
cnf(refute_3_218,plain,
e4 = e4,
introduced(tautology,[refl,[$fot(e4)]]) ).
cnf(refute_3_219,plain,
op(e0,e4) = e3,
inference(resolve,[$cnf( $equal(e4,e4) )],[refute_3_218,refute_3_217]) ).
cnf(refute_3_220,plain,
( op(e0,e3) != e3
| op(e0,e4) != e3
| op(e0,e3) = op(e0,e4) ),
introduced(tautology,[equality,[$cnf( ~ $equal(op(e0,e3),op(e0,e4)) ),[1],$fot(e3)]]) ).
cnf(refute_3_221,plain,
( op(e0,e3) != e3
| op(e0,e3) = op(e0,e4) ),
inference(resolve,[$cnf( $equal(op(e0,e4),e3) )],[refute_3_219,refute_3_220]) ).
cnf(refute_3_222,plain,
op(e0,e3) != e3,
inference(resolve,[$cnf( $equal(op(e0,e3),op(e0,e4)) )],[refute_3_221,refute_3_191]) ).
cnf(refute_3_223,plain,
( op(e0,e3) = e1
| op(e0,e3) = e2
| op(e0,e3) = e4 ),
inference(resolve,[$cnf( $equal(op(e0,e3),e3) )],[refute_3_190,refute_3_222]) ).
cnf(refute_3_224,plain,
( op(e0,e3) != e1
| op(op(e0,e3),e3) != e0
| op(e1,e3) = e0 ),
introduced(tautology,[equality,[$cnf( $equal(op(op(e0,e3),e3),e0) ),[0,0],$fot(e1)]]) ).
cnf(refute_3_225,plain,
( op(op(e0,e3),e3) != e0
| op(e0,e3) = e2
| op(e0,e3) = e4
| op(e1,e3) = e0 ),
inference(resolve,[$cnf( $equal(op(e0,e3),e1) )],[refute_3_223,refute_3_224]) ).
cnf(refute_3_226,plain,
( op(e0,e3) = e2
| op(e0,e3) = e4
| op(e1,e3) = e0 ),
inference(resolve,[$cnf( $equal(op(op(e0,e3),e3),e0) )],[refute_3_148,refute_3_225]) ).
cnf(refute_3_227,plain,
op(e1,e3) != op(e1,e4),
inference(canonicalize,[],[normalize_3_45]) ).
cnf(refute_3_228,plain,
( op(e1,e3) != e0
| op(e1,e4) != e0
| op(e1,e3) = op(e1,e4) ),
introduced(tautology,[equality,[$cnf( ~ $equal(op(e1,e3),op(e1,e4)) ),[1],$fot(e0)]]) ).
cnf(refute_3_229,plain,
( op(e1,e3) != e0
| op(e1,e3) = op(e1,e4) ),
inference(resolve,[$cnf( $equal(op(e1,e4),e0) )],[refute_3_36,refute_3_228]) ).
cnf(refute_3_230,plain,
op(e1,e3) != e0,
inference(resolve,[$cnf( $equal(op(e1,e3),op(e1,e4)) )],[refute_3_229,refute_3_227]) ).
cnf(refute_3_231,plain,
( op(e0,e3) = e2
| op(e0,e3) = e4 ),
inference(resolve,[$cnf( $equal(op(e1,e3),e0) )],[refute_3_226,refute_3_230]) ).
cnf(refute_3_232,plain,
( op(e0,e3) != e2
| op(op(e0,e3),e3) != e0
| op(e2,e3) = e0 ),
introduced(tautology,[equality,[$cnf( $equal(op(op(e0,e3),e3),e0) ),[0,0],$fot(e2)]]) ).
cnf(refute_3_233,plain,
( op(op(e0,e3),e3) != e0
| op(e0,e3) = e4
| op(e2,e3) = e0 ),
inference(resolve,[$cnf( $equal(op(e0,e3),e2) )],[refute_3_231,refute_3_232]) ).
cnf(refute_3_234,plain,
( op(e0,e3) = e4
| op(e2,e3) = e0 ),
inference(resolve,[$cnf( $equal(op(op(e0,e3),e3),e0) )],[refute_3_148,refute_3_233]) ).
cnf(refute_3_235,plain,
op(unit,e3) = op(unit,e3),
introduced(tautology,[refl,[$fot(op(unit,e3))]]) ).
cnf(refute_3_236,plain,
( op(unit,e3) != op(unit,e3)
| unit != e2
| op(unit,e3) = op(e2,e3) ),
introduced(tautology,[equality,[$cnf( $equal(op(unit,e3),op(unit,e3)) ),[1,0],$fot(e2)]]) ).
cnf(refute_3_237,plain,
( unit != e2
| op(unit,e3) = op(e2,e3) ),
inference(resolve,[$cnf( $equal(op(unit,e3),op(unit,e3)) )],[refute_3_235,refute_3_236]) ).
cnf(refute_3_238,plain,
op(unit,e3) = op(e2,e3),
inference(resolve,[$cnf( $equal(unit,e2) )],[refute_3_102,refute_3_237]) ).
cnf(refute_3_239,plain,
( op(unit,e3) != e3
| op(unit,e3) != op(e2,e3)
| op(e2,e3) = e3 ),
introduced(tautology,[equality,[$cnf( $equal(op(unit,e3),e3) ),[0],$fot(op(e2,e3))]]) ).
cnf(refute_3_240,plain,
( op(unit,e3) != e3
| op(e2,e3) = e3 ),
inference(resolve,[$cnf( $equal(op(unit,e3),op(e2,e3)) )],[refute_3_238,refute_3_239]) ).
cnf(refute_3_241,plain,
op(e2,e3) = e3,
inference(resolve,[$cnf( $equal(op(unit,e3),e3) )],[refute_3_94,refute_3_240]) ).
cnf(refute_3_242,plain,
( op(e2,e3) != e0
| op(e2,e3) != e3
| e3 = e0 ),
introduced(tautology,[equality,[$cnf( $equal(op(e2,e3),e0) ),[0],$fot(e3)]]) ).
cnf(refute_3_243,plain,
( op(e2,e3) != e0
| e3 = e0 ),
inference(resolve,[$cnf( $equal(op(e2,e3),e3) )],[refute_3_241,refute_3_242]) ).
cnf(refute_3_244,plain,
( e3 = e0
| op(e0,e3) = e4 ),
inference(resolve,[$cnf( $equal(op(e2,e3),e0) )],[refute_3_234,refute_3_243]) ).
cnf(refute_3_245,plain,
op(e0,e3) = e4,
inference(resolve,[$cnf( $equal(e3,e0) )],[refute_3_244,refute_3_24]) ).
cnf(refute_3_246,plain,
( op(e0,e1) != e4
| op(e0,e3) != e4
| op(e0,e1) = op(e0,e3) ),
introduced(tautology,[equality,[$cnf( ~ $equal(op(e0,e1),op(e0,e3)) ),[1],$fot(e4)]]) ).
cnf(refute_3_247,plain,
( op(e0,e1) != e4
| op(e0,e1) = op(e0,e3) ),
inference(resolve,[$cnf( $equal(op(e0,e3),e4) )],[refute_3_245,refute_3_246]) ).
cnf(refute_3_248,plain,
op(e0,e1) != e4,
inference(resolve,[$cnf( $equal(op(e0,e1),op(e0,e3)) )],[refute_3_247,refute_3_147]) ).
cnf(refute_3_249,plain,
( op(e0,e1) = e0
| op(e0,e1) = e1
| op(e0,e1) = e2
| op(e0,e1) = e3
| op(e0,e1) = e4 ),
inference(canonicalize,[],[normalize_3_46]) ).
cnf(refute_3_250,plain,
op(e0,e1) != op(e4,e1),
inference(canonicalize,[],[normalize_3_47]) ).
cnf(refute_3_251,plain,
( op(e0,e1) != e3
| op(e4,e1) != e3
| op(e0,e1) = op(e4,e1) ),
introduced(tautology,[equality,[$cnf( ~ $equal(op(e0,e1),op(e4,e1)) ),[1],$fot(e3)]]) ).
cnf(refute_3_252,plain,
( op(e0,e1) != e3
| op(e0,e1) = op(e4,e1) ),
inference(resolve,[$cnf( $equal(op(e4,e1),e3) )],[refute_3_18,refute_3_251]) ).
cnf(refute_3_253,plain,
op(e0,e1) != e3,
inference(resolve,[$cnf( $equal(op(e0,e1),op(e4,e1)) )],[refute_3_252,refute_3_250]) ).
cnf(refute_3_254,plain,
( op(e0,e1) = e0
| op(e0,e1) = e1
| op(e0,e1) = e2
| op(e0,e1) = e4 ),
inference(resolve,[$cnf( $equal(op(e0,e1),e3) )],[refute_3_249,refute_3_253]) ).
cnf(refute_3_255,plain,
( e0 != e0
| op(e0,e1) != e0
| op(e0,e1) = e0 ),
introduced(tautology,[equality,[$cnf( $equal(op(e0,e1),e0) ),[0,0],$fot(e0)]]) ).
cnf(refute_3_256,plain,
( e0 != e0
| op(e0,e1) = e0
| op(e0,e1) = e1
| op(e0,e1) = e2
| op(e0,e1) = e4 ),
inference(resolve,[$cnf( $equal(op(e0,e1),e0) )],[refute_3_254,refute_3_255]) ).
cnf(refute_3_257,plain,
( e0 != e0
| op(e0,e1) = e1
| op(e0,e1) = e2
| op(e0,e1) = e4 ),
inference(resolve,[$cnf( $equal(op(e0,e1),e0) )],[refute_3_256,refute_3_134]) ).
cnf(refute_3_258,plain,
e0 = e0,
introduced(tautology,[refl,[$fot(e0)]]) ).
cnf(refute_3_259,plain,
( op(e0,e1) = e1
| op(e0,e1) = e2
| op(e0,e1) = e4 ),
inference(resolve,[$cnf( $equal(e0,e0) )],[refute_3_258,refute_3_257]) ).
cnf(refute_3_260,plain,
op(e0,e1) != op(e2,e1),
inference(canonicalize,[],[normalize_3_48]) ).
cnf(refute_3_261,plain,
( op(e0,e1) != e1
| op(e2,e1) != e1
| op(e0,e1) = op(e2,e1) ),
introduced(tautology,[equality,[$cnf( ~ $equal(op(e0,e1),op(e2,e1)) ),[1],$fot(e1)]]) ).
cnf(refute_3_262,plain,
( op(e0,e1) != e1
| op(e0,e1) = op(e2,e1) ),
inference(resolve,[$cnf( $equal(op(e2,e1),e1) )],[refute_3_109,refute_3_261]) ).
cnf(refute_3_263,plain,
op(e0,e1) != e1,
inference(resolve,[$cnf( $equal(op(e0,e1),op(e2,e1)) )],[refute_3_262,refute_3_260]) ).
cnf(refute_3_264,plain,
( op(e0,e1) = e2
| op(e0,e1) = e4 ),
inference(resolve,[$cnf( $equal(op(e0,e1),e1) )],[refute_3_259,refute_3_263]) ).
cnf(refute_3_265,plain,
( e4 != e4
| op(e0,e1) != e4
| op(e0,e1) = e4 ),
introduced(tautology,[equality,[$cnf( $equal(op(e0,e1),e4) ),[1],$fot(e4)]]) ).
cnf(refute_3_266,plain,
( e4 != e4
| op(e0,e1) = e2
| op(e0,e1) = e4 ),
inference(resolve,[$cnf( $equal(op(e0,e1),e4) )],[refute_3_264,refute_3_265]) ).
cnf(refute_3_267,plain,
( e4 != e4
| op(e0,e1) = e2 ),
inference(resolve,[$cnf( $equal(op(e0,e1),e4) )],[refute_3_266,refute_3_248]) ).
cnf(refute_3_268,plain,
op(e0,e1) = e2,
inference(resolve,[$cnf( $equal(e4,e4) )],[refute_3_218,refute_3_267]) ).
cnf(refute_3_269,plain,
( op(e0,e1) != e1
| op(e0,e1) != e2
| e2 = e1 ),
introduced(tautology,[equality,[$cnf( $equal(op(e0,e1),e1) ),[0],$fot(e2)]]) ).
cnf(refute_3_270,plain,
( op(e0,e1) != e1
| e2 = e1 ),
inference(resolve,[$cnf( $equal(op(e0,e1),e2) )],[refute_3_268,refute_3_269]) ).
cnf(refute_3_271,plain,
( e2 = e1
| op(e0,e0) = e1
| op(e0,e2) = e1
| op(e0,e3) = e1 ),
inference(resolve,[$cnf( $equal(op(e0,e1),e1) )],[refute_3_146,refute_3_270]) ).
cnf(refute_3_272,plain,
( op(e0,e2) != e0
| op(e0,e2) != e1
| e0 = e1 ),
introduced(tautology,[equality,[$cnf( $equal(op(e0,e2),e1) ),[0],$fot(e0)]]) ).
cnf(refute_3_273,plain,
( op(e0,e2) != e1
| e0 = e1 ),
inference(resolve,[$cnf( $equal(op(e0,e2),e0) )],[refute_3_131,refute_3_272]) ).
cnf(refute_3_274,plain,
( e0 = e1
| e2 = e1
| op(e0,e0) = e1
| op(e0,e3) = e1 ),
inference(resolve,[$cnf( $equal(op(e0,e2),e1) )],[refute_3_271,refute_3_273]) ).
cnf(refute_3_275,plain,
( op(e0,e3) != e1
| op(e0,e3) != e4
| e4 = e1 ),
introduced(tautology,[equality,[$cnf( $equal(op(e0,e3),e1) ),[0],$fot(e4)]]) ).
cnf(refute_3_276,plain,
( op(e0,e3) != e1
| e4 = e1 ),
inference(resolve,[$cnf( $equal(op(e0,e3),e4) )],[refute_3_245,refute_3_275]) ).
cnf(refute_3_277,plain,
( e0 = e1
| e2 = e1
| e4 = e1
| op(e0,e0) = e1 ),
inference(resolve,[$cnf( $equal(op(e0,e3),e1) )],[refute_3_274,refute_3_276]) ).
cnf(refute_3_278,plain,
( e2 = e1
| e4 = e1
| op(e0,e0) = e1 ),
inference(resolve,[$cnf( $equal(e0,e1) )],[refute_3_277,refute_3_119]) ).
cnf(refute_3_279,plain,
op(e3,e4) != op(e4,e4),
inference(canonicalize,[],[normalize_3_49]) ).
cnf(refute_3_280,plain,
( op(e3,e4) != e1
| op(e4,e4) != e1
| op(e3,e4) = op(e4,e4) ),
introduced(tautology,[equality,[$cnf( ~ $equal(op(e3,e4),op(e4,e4)) ),[1],$fot(e1)]]) ).
cnf(refute_3_281,plain,
( op(e3,e4) != e1
| op(e3,e4) = op(e4,e4) ),
inference(resolve,[$cnf( $equal(op(e4,e4),e1) )],[refute_3_9,refute_3_280]) ).
cnf(refute_3_282,plain,
op(e3,e4) != e1,
inference(resolve,[$cnf( $equal(op(e3,e4),op(e4,e4)) )],[refute_3_281,refute_3_279]) ).
cnf(refute_3_283,plain,
( e2 != e1
| op(e3,e4) != e2
| op(e3,e4) = e1 ),
introduced(tautology,[equality,[$cnf( $equal(op(e3,e4),e2) ),[1],$fot(e1)]]) ).
cnf(refute_3_284,plain,
( e2 != e1
| op(e3,e4) = e1 ),
inference(resolve,[$cnf( $equal(op(e3,e4),e2) )],[refute_3_74,refute_3_283]) ).
cnf(refute_3_285,plain,
e2 != e1,
inference(resolve,[$cnf( $equal(op(e3,e4),e1) )],[refute_3_284,refute_3_282]) ).
cnf(refute_3_286,plain,
( e4 = e1
| op(e0,e0) = e1 ),
inference(resolve,[$cnf( $equal(e2,e1) )],[refute_3_278,refute_3_285]) ).
cnf(refute_3_287,plain,
e1 != e4,
inference(canonicalize,[],[normalize_3_50]) ).
cnf(refute_3_288,plain,
( e4 != e1
| e1 = e4 ),
inference(subst,[],[refute_3_7:[bind(X,$fot(e4)),bind(Y,$fot(e1))]]) ).
cnf(refute_3_289,plain,
e4 != e1,
inference(resolve,[$cnf( $equal(e1,e4) )],[refute_3_288,refute_3_287]) ).
cnf(refute_3_290,plain,
op(e0,e0) = e1,
inference(resolve,[$cnf( $equal(e4,e1) )],[refute_3_286,refute_3_289]) ).
cnf(refute_3_291,plain,
( e1 != op(e3,e0)
| op(e0,e0) != e1
| op(e0,e0) = op(e3,e0) ),
introduced(tautology,[equality,[$cnf( $equal(op(e0,e0),e1) ),[1],$fot(op(e3,e0))]]) ).
cnf(refute_3_292,plain,
( e1 != op(e3,e0)
| op(e0,e0) = op(e3,e0) ),
inference(resolve,[$cnf( $equal(op(e0,e0),e1) )],[refute_3_290,refute_3_291]) ).
cnf(refute_3_293,plain,
e1 != op(e3,e0),
inference(resolve,[$cnf( $equal(op(e0,e0),op(e3,e0)) )],[refute_3_292,refute_3_140]) ).
cnf(refute_3_294,plain,
( op(e3,e0) != e1
| e1 = op(e3,e0) ),
inference(subst,[],[refute_3_7:[bind(X,$fot(op(e3,e0))),bind(Y,$fot(e1))]]) ).
cnf(refute_3_295,plain,
op(e3,e0) != e1,
inference(resolve,[$cnf( $equal(e1,op(e3,e0)) )],[refute_3_294,refute_3_293]) ).
cnf(refute_3_296,plain,
( op(e3,e0) = e2
| op(e3,e0) = e3
| op(e3,e0) = e4 ),
inference(resolve,[$cnf( $equal(op(e3,e0),e1) )],[refute_3_139,refute_3_295]) ).
cnf(refute_3_297,plain,
op(e3,e0) != op(e3,e4),
inference(canonicalize,[],[normalize_3_51]) ).
cnf(refute_3_298,plain,
( op(e3,e0) != e2
| op(e3,e4) != e2
| op(e3,e0) = op(e3,e4) ),
introduced(tautology,[equality,[$cnf( ~ $equal(op(e3,e0),op(e3,e4)) ),[1],$fot(e2)]]) ).
cnf(refute_3_299,plain,
( op(e3,e0) != e2
| op(e3,e0) = op(e3,e4) ),
inference(resolve,[$cnf( $equal(op(e3,e4),e2) )],[refute_3_74,refute_3_298]) ).
cnf(refute_3_300,plain,
op(e3,e0) != e2,
inference(resolve,[$cnf( $equal(op(e3,e0),op(e3,e4)) )],[refute_3_299,refute_3_297]) ).
cnf(refute_3_301,plain,
( op(e3,e0) = e3
| op(e3,e0) = e4 ),
inference(resolve,[$cnf( $equal(op(e3,e0),e2) )],[refute_3_296,refute_3_300]) ).
cnf(refute_3_302,plain,
op(e3,e0) != op(e3,e2),
inference(canonicalize,[],[normalize_3_52]) ).
cnf(refute_3_303,plain,
op(e3,unit) = op(e3,unit),
introduced(tautology,[refl,[$fot(op(e3,unit))]]) ).
cnf(refute_3_304,plain,
( op(e3,unit) != op(e3,unit)
| unit != e2
| op(e3,unit) = op(e3,e2) ),
introduced(tautology,[equality,[$cnf( $equal(op(e3,unit),op(e3,unit)) ),[1,1],$fot(e2)]]) ).
cnf(refute_3_305,plain,
( unit != e2
| op(e3,unit) = op(e3,e2) ),
inference(resolve,[$cnf( $equal(op(e3,unit),op(e3,unit)) )],[refute_3_303,refute_3_304]) ).
cnf(refute_3_306,plain,
op(e3,unit) = op(e3,e2),
inference(resolve,[$cnf( $equal(unit,e2) )],[refute_3_102,refute_3_305]) ).
cnf(refute_3_307,plain,
( op(e3,unit) != e3
| op(e3,unit) != op(e3,e2)
| op(e3,e2) = e3 ),
introduced(tautology,[equality,[$cnf( $equal(op(e3,unit),e3) ),[0],$fot(op(e3,e2))]]) ).
cnf(refute_3_308,plain,
( op(e3,unit) != e3
| op(e3,e2) = e3 ),
inference(resolve,[$cnf( $equal(op(e3,unit),op(e3,e2)) )],[refute_3_306,refute_3_307]) ).
cnf(refute_3_309,plain,
op(e3,e2) = e3,
inference(resolve,[$cnf( $equal(op(e3,unit),e3) )],[refute_3_43,refute_3_308]) ).
cnf(refute_3_310,plain,
( op(e3,e0) != e3
| op(e3,e2) != e3
| op(e3,e0) = op(e3,e2) ),
introduced(tautology,[equality,[$cnf( ~ $equal(op(e3,e0),op(e3,e2)) ),[1],$fot(e3)]]) ).
cnf(refute_3_311,plain,
( op(e3,e0) != e3
| op(e3,e0) = op(e3,e2) ),
inference(resolve,[$cnf( $equal(op(e3,e2),e3) )],[refute_3_309,refute_3_310]) ).
cnf(refute_3_312,plain,
op(e3,e0) != e3,
inference(resolve,[$cnf( $equal(op(e3,e0),op(e3,e2)) )],[refute_3_311,refute_3_302]) ).
cnf(refute_3_313,plain,
op(e3,e0) = e4,
inference(resolve,[$cnf( $equal(op(e3,e0),e3) )],[refute_3_301,refute_3_312]) ).
cnf(refute_3_314,plain,
( op(e0,e3) != e4
| op(e3,e0) != e4
| op(e3,e0) = op(e0,e3) ),
introduced(tautology,[equality,[$cnf( ~ $equal(op(e3,e0),op(e0,e3)) ),[1],$fot(e4)]]) ).
cnf(refute_3_315,plain,
( op(e3,e0) != e4
| op(e3,e0) = op(e0,e3) ),
inference(resolve,[$cnf( $equal(op(e0,e3),e4) )],[refute_3_245,refute_3_314]) ).
cnf(refute_3_316,plain,
op(e3,e0) != e4,
inference(resolve,[$cnf( $equal(op(e3,e0),op(e0,e3)) )],[refute_3_315,refute_3_42]) ).
cnf(refute_3_317,plain,
$false,
inference(resolve,[$cnf( $equal(op(e3,e0),e4) )],[refute_3_313,refute_3_316]) ).
fof(negate_4_0,plain,
~ ( ( ( ( op(e0,e0) = e0
& op(e0,e0) = e0
& op(e0,e0) != e0 )
| ( op(e0,e0) = e1
& op(e1,e1) = e0
& op(e0,e1) != e0 )
| ( op(e0,e0) = e2
& op(e2,e2) = e0
& op(e0,e2) != e0 )
| ( op(e0,e0) = e3
& op(e3,e3) = e0
& op(e0,e3) != e0 )
| ( op(e0,e0) = e4
& op(e4,e4) = e0
& op(e0,e4) != e0 )
| ( op(e1,e1) = e0
& op(e0,e0) = e1
& op(e1,e0) != e1 )
| ( op(e1,e1) = e1
& op(e1,e1) = e1
& op(e1,e1) != e1 )
| ( op(e1,e1) = e2
& op(e2,e2) = e1
& op(e1,e2) != e1 )
| ( op(e1,e1) = e3
& op(e3,e3) = e1
& op(e1,e3) != e1 )
| ( op(e1,e1) = e4
& op(e4,e4) = e1
& op(e1,e4) != e1 )
| ( op(e2,e2) = e0
& op(e0,e0) = e2
& op(e2,e0) != e2 )
| ( op(e2,e2) = e1
& op(e1,e1) = e2
& op(e2,e1) != e2 )
| ( op(e2,e2) = e2
& op(e2,e2) = e2
& op(e2,e2) != e2 )
| ( op(e2,e2) = e3
& op(e3,e3) = e2
& op(e2,e3) != e2 )
| ( op(e2,e2) = e4
& op(e4,e4) = e2
& op(e2,e4) != e2 )
| ( op(e3,e3) = e0
& op(e0,e0) = e3
& op(e3,e0) != e3 )
| ( op(e3,e3) = e1
& op(e1,e1) = e3
& op(e3,e1) != e3 )
| ( op(e3,e3) = e2
& op(e2,e2) = e3
& op(e3,e2) != e3 )
| ( op(e3,e3) = e3
& op(e3,e3) = e3
& op(e3,e3) != e3 )
| ( op(e3,e3) = e4
& op(e4,e4) = e3
& op(e3,e4) != e3 )
| ( op(e4,e4) = e0
& op(e0,e0) = e4
& op(e4,e0) != e4 )
| ( op(e4,e4) = e1
& op(e1,e1) = e4
& op(e4,e1) != e4 )
| ( op(e4,e4) = e2
& op(e2,e2) = e4
& op(e4,e2) != e4 )
| ( op(e4,e4) = e3
& op(e3,e3) = e4
& op(e4,e3) != e4 )
| ( op(e4,e4) = e4
& op(e4,e4) = e4
& op(e4,e4) != e4 ) )
& ~ ( op(e0,e0) != op(e0,e0)
& op(op(e0,e0),e0) = e0
& op(op(e0,e0),e0) != e0 )
& ~ ( op(e1,e0) != op(e0,e1)
& op(op(e0,e1),e1) = e0
& op(op(e0,e1),e0) != e1 )
& ~ ( op(e2,e0) != op(e0,e2)
& op(op(e0,e2),e2) = e0
& op(op(e0,e2),e0) != e2 )
& ~ ( op(e3,e0) != op(e0,e3)
& op(op(e0,e3),e3) = e0
& op(op(e0,e3),e0) != e3 )
& op(e4,e0) != op(e0,e4)
& op(op(e0,e4),e4) = e0 )
=> op(op(e0,e4),e0) = e4 ),
inference(negate,[],[subgoal_4]) ).
fof(normalize_4_0,plain,
( op(e0,unit) = e0
& op(e1,unit) = e1
& op(e2,unit) = e2
& op(e3,unit) = e3
& op(e4,unit) = e4
& op(unit,e0) = e0
& op(unit,e1) = e1
& op(unit,e2) = e2
& op(unit,e3) = e3
& op(unit,e4) = e4
& ( unit = e0
| unit = e1
| unit = e2
| unit = e3
| unit = e4 ) ),
inference(canonicalize,[],[ax2]) ).
fof(normalize_4_1,plain,
op(e0,unit) = e0,
inference(conjunct,[],[normalize_4_0]) ).
fof(normalize_4_2,plain,
( op(e4,e0) != op(e0,e4)
& op(op(e0,e4),e0) != e4
& op(op(e0,e4),e4) = e0
& ( op(op(e0,e1),e1) != e0
| op(e1,e0) = op(e0,e1)
| op(op(e0,e1),e0) = e1 )
& ( op(op(e0,e2),e2) != e0
| op(e2,e0) = op(e0,e2)
| op(op(e0,e2),e0) = e2 )
& ( op(op(e0,e3),e3) != e0
| op(e3,e0) = op(e0,e3)
| op(op(e0,e3),e0) = e3 )
& ( ( op(e0,e1) != e0
& op(e0,e0) = e1
& op(e1,e1) = e0 )
| ( op(e0,e2) != e0
& op(e0,e0) = e2
& op(e2,e2) = e0 )
| ( op(e0,e3) != e0
& op(e0,e0) = e3
& op(e3,e3) = e0 )
| ( op(e0,e4) != e0
& op(e0,e0) = e4
& op(e4,e4) = e0 )
| ( op(e1,e0) != e1
& op(e0,e0) = e1
& op(e1,e1) = e0 )
| ( op(e1,e2) != e1
& op(e1,e1) = e2
& op(e2,e2) = e1 )
| ( op(e1,e3) != e1
& op(e1,e1) = e3
& op(e3,e3) = e1 )
| ( op(e1,e4) != e1
& op(e1,e1) = e4
& op(e4,e4) = e1 )
| ( op(e2,e0) != e2
& op(e0,e0) = e2
& op(e2,e2) = e0 )
| ( op(e2,e1) != e2
& op(e1,e1) = e2
& op(e2,e2) = e1 )
| ( op(e2,e3) != e2
& op(e2,e2) = e3
& op(e3,e3) = e2 )
| ( op(e2,e4) != e2
& op(e2,e2) = e4
& op(e4,e4) = e2 )
| ( op(e3,e0) != e3
& op(e0,e0) = e3
& op(e3,e3) = e0 )
| ( op(e3,e1) != e3
& op(e1,e1) = e3
& op(e3,e3) = e1 )
| ( op(e3,e2) != e3
& op(e2,e2) = e3
& op(e3,e3) = e2 )
| ( op(e3,e4) != e3
& op(e3,e3) = e4
& op(e4,e4) = e3 )
| ( op(e4,e0) != e4
& op(e0,e0) = e4
& op(e4,e4) = e0 )
| ( op(e4,e1) != e4
& op(e1,e1) = e4
& op(e4,e4) = e1 )
| ( op(e4,e2) != e4
& op(e2,e2) = e4
& op(e4,e4) = e2 )
| ( op(e4,e3) != e4
& op(e3,e3) = e4
& op(e4,e4) = e3 ) ) ),
inference(canonicalize,[],[negate_4_0]) ).
fof(normalize_4_3,plain,
op(e4,e0) != op(e0,e4),
inference(conjunct,[],[normalize_4_2]) ).
fof(normalize_4_4,plain,
op(e4,unit) = e4,
inference(conjunct,[],[normalize_4_0]) ).
fof(normalize_4_5,plain,
op(unit,e4) = e4,
inference(conjunct,[],[normalize_4_0]) ).
fof(normalize_4_6,plain,
( unit = e0
| unit = e1
| unit = e2
| unit = e3
| unit = e4 ),
inference(conjunct,[],[normalize_4_0]) ).
fof(normalize_4_7,plain,
( e0 = op(op(e4,e4),e4)
& e1 = op(e4,e4)
& e2 = op(op(e4,op(e4,e4)),e4)
& e3 = op(e4,op(e4,e4)) ),
inference(canonicalize,[],[ax6]) ).
fof(normalize_4_8,plain,
e3 = op(e4,op(e4,e4)),
inference(conjunct,[],[normalize_4_7]) ).
fof(normalize_4_9,plain,
e1 = op(e4,e4),
inference(conjunct,[],[normalize_4_7]) ).
fof(normalize_4_10,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_11,plain,
e3 != e4,
inference(conjunct,[],[normalize_4_10]) ).
fof(normalize_4_12,plain,
e2 = op(op(e4,op(e4,e4)),e4),
inference(conjunct,[],[normalize_4_7]) ).
fof(normalize_4_13,plain,
e2 != e4,
inference(conjunct,[],[normalize_4_10]) ).
fof(normalize_4_14,plain,
e1 != e4,
inference(conjunct,[],[normalize_4_10]) ).
fof(normalize_4_15,plain,
op(op(e0,e4),e4) = e0,
inference(conjunct,[],[normalize_4_2]) ).
fof(normalize_4_16,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_17,plain,
( op(e0,e4) = e0
| op(e0,e4) = e1
| op(e0,e4) = e2
| op(e0,e4) = e3
| op(e0,e4) = e4 ),
inference(conjunct,[],[normalize_4_16]) ).
fof(normalize_4_18,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_19,plain,
op(e0,e4) != op(e4,e4),
inference(conjunct,[],[normalize_4_18]) ).
fof(normalize_4_20,plain,
op(e0,e4) != op(e1,e4),
inference(conjunct,[],[normalize_4_18]) ).
fof(normalize_4_21,plain,
e0 = op(op(e4,e4),e4),
inference(conjunct,[],[normalize_4_7]) ).
fof(normalize_4_22,plain,
op(e0,e4) != op(e3,e4),
inference(conjunct,[],[normalize_4_18]) ).
fof(normalize_4_23,plain,
op(e0,e4) != op(e2,e4),
inference(conjunct,[],[normalize_4_18]) ).
fof(normalize_4_24,plain,
op(e0,e0) != op(e0,e2),
inference(conjunct,[],[normalize_4_18]) ).
cnf(refute_4_0,plain,
op(e0,unit) = e0,
inference(canonicalize,[],[normalize_4_1]) ).
cnf(refute_4_1,plain,
op(e4,e0) != op(e0,e4),
inference(canonicalize,[],[normalize_4_3]) ).
cnf(refute_4_2,plain,
op(e4,unit) = e4,
inference(canonicalize,[],[normalize_4_4]) ).
cnf(refute_4_3,plain,
op(unit,e4) = e4,
inference(canonicalize,[],[normalize_4_5]) ).
cnf(refute_4_4,plain,
( unit = e0
| unit = e1
| unit = e2
| unit = e3
| unit = e4 ),
inference(canonicalize,[],[normalize_4_6]) ).
cnf(refute_4_5,plain,
( op(e4,unit) != e4
| unit != e1
| op(e4,e1) = e4 ),
introduced(tautology,[equality,[$cnf( $equal(op(e4,unit),e4) ),[0,1],$fot(e1)]]) ).
cnf(refute_4_6,plain,
( op(e4,unit) != e4
| op(e4,e1) = e4
| unit = e0
| unit = e2
| unit = e3
| unit = e4 ),
inference(resolve,[$cnf( $equal(unit,e1) )],[refute_4_4,refute_4_5]) ).
cnf(refute_4_7,plain,
( op(e4,e1) = e4
| unit = e0
| unit = e2
| unit = e3
| unit = e4 ),
inference(resolve,[$cnf( $equal(op(e4,unit),e4) )],[refute_4_2,refute_4_6]) ).
cnf(refute_4_8,plain,
e3 = op(e4,op(e4,e4)),
inference(canonicalize,[],[normalize_4_8]) ).
cnf(refute_4_9,plain,
e1 = op(e4,e4),
inference(canonicalize,[],[normalize_4_9]) ).
cnf(refute_4_10,plain,
X = X,
introduced(tautology,[refl,[$fot(X)]]) ).
cnf(refute_4_11,plain,
( X != X
| X != Y
| Y = X ),
introduced(tautology,[equality,[$cnf( $equal(X,X) ),[0],$fot(Y)]]) ).
cnf(refute_4_12,plain,
( X != Y
| Y = X ),
inference(resolve,[$cnf( $equal(X,X) )],[refute_4_10,refute_4_11]) ).
cnf(refute_4_13,plain,
( e1 != op(e4,e4)
| op(e4,e4) = e1 ),
inference(subst,[],[refute_4_12:[bind(X,$fot(e1)),bind(Y,$fot(op(e4,e4)))]]) ).
cnf(refute_4_14,plain,
op(e4,e4) = e1,
inference(resolve,[$cnf( $equal(e1,op(e4,e4)) )],[refute_4_9,refute_4_13]) ).
cnf(refute_4_15,plain,
op(e4,op(e4,e4)) = op(e4,op(e4,e4)),
introduced(tautology,[refl,[$fot(op(e4,op(e4,e4)))]]) ).
cnf(refute_4_16,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_17,plain,
( op(e4,e4) != e1
| op(e4,op(e4,e4)) = op(e4,e1) ),
inference(resolve,[$cnf( $equal(op(e4,op(e4,e4)),op(e4,op(e4,e4))) )],[refute_4_15,refute_4_16]) ).
cnf(refute_4_18,plain,
op(e4,op(e4,e4)) = op(e4,e1),
inference(resolve,[$cnf( $equal(op(e4,e4),e1) )],[refute_4_14,refute_4_17]) ).
cnf(refute_4_19,plain,
( e3 != op(e4,op(e4,e4))
| op(e4,op(e4,e4)) != op(e4,e1)
| e3 = op(e4,e1) ),
introduced(tautology,[equality,[$cnf( ~ $equal(e3,op(e4,e1)) ),[0],$fot(op(e4,op(e4,e4)))]]) ).
cnf(refute_4_20,plain,
( e3 != op(e4,op(e4,e4))
| e3 = op(e4,e1) ),
inference(resolve,[$cnf( $equal(op(e4,op(e4,e4)),op(e4,e1)) )],[refute_4_18,refute_4_19]) ).
cnf(refute_4_21,plain,
e3 = op(e4,e1),
inference(resolve,[$cnf( $equal(e3,op(e4,op(e4,e4))) )],[refute_4_8,refute_4_20]) ).
cnf(refute_4_22,plain,
( e3 != op(e4,e1)
| op(e4,e1) = e3 ),
inference(subst,[],[refute_4_12:[bind(X,$fot(e3)),bind(Y,$fot(op(e4,e1)))]]) ).
cnf(refute_4_23,plain,
op(e4,e1) = e3,
inference(resolve,[$cnf( $equal(e3,op(e4,e1)) )],[refute_4_21,refute_4_22]) ).
cnf(refute_4_24,plain,
( op(e4,e1) != e3
| op(e4,e1) != e4
| e3 = e4 ),
introduced(tautology,[equality,[$cnf( $equal(op(e4,e1),e4) ),[0],$fot(e3)]]) ).
cnf(refute_4_25,plain,
( op(e4,e1) != e4
| e3 = e4 ),
inference(resolve,[$cnf( $equal(op(e4,e1),e3) )],[refute_4_23,refute_4_24]) ).
cnf(refute_4_26,plain,
( e3 = e4
| unit = e0
| unit = e2
| unit = e3
| unit = e4 ),
inference(resolve,[$cnf( $equal(op(e4,e1),e4) )],[refute_4_7,refute_4_25]) ).
cnf(refute_4_27,plain,
e3 != e4,
inference(canonicalize,[],[normalize_4_11]) ).
cnf(refute_4_28,plain,
( unit = e0
| unit = e2
| unit = e3
| unit = e4 ),
inference(resolve,[$cnf( $equal(e3,e4) )],[refute_4_26,refute_4_27]) ).
cnf(refute_4_29,plain,
( op(unit,e4) != e4
| unit != e3
| op(e3,e4) = e4 ),
introduced(tautology,[equality,[$cnf( $equal(op(unit,e4),e4) ),[0,0],$fot(e3)]]) ).
cnf(refute_4_30,plain,
( op(unit,e4) != e4
| op(e3,e4) = e4
| unit = e0
| unit = e2
| unit = e4 ),
inference(resolve,[$cnf( $equal(unit,e3) )],[refute_4_28,refute_4_29]) ).
cnf(refute_4_31,plain,
( op(e3,e4) = e4
| unit = e0
| unit = e2
| unit = e4 ),
inference(resolve,[$cnf( $equal(op(unit,e4),e4) )],[refute_4_3,refute_4_30]) ).
cnf(refute_4_32,plain,
e2 = op(op(e4,op(e4,e4)),e4),
inference(canonicalize,[],[normalize_4_12]) ).
cnf(refute_4_33,plain,
op(op(e4,op(e4,e4)),e4) = op(op(e4,op(e4,e4)),e4),
introduced(tautology,[refl,[$fot(op(op(e4,op(e4,e4)),e4))]]) ).
cnf(refute_4_34,plain,
( op(e4,op(e4,e4)) != op(e4,e1)
| op(op(e4,op(e4,e4)),e4) != op(op(e4,op(e4,e4)),e4)
| op(op(e4,op(e4,e4)),e4) = op(op(e4,e1),e4) ),
introduced(tautology,[equality,[$cnf( $equal(op(op(e4,op(e4,e4)),e4),op(op(e4,op(e4,e4)),e4)) ),[1,0],$fot(op(e4,e1))]]) ).
cnf(refute_4_35,plain,
( op(e4,op(e4,e4)) != op(e4,e1)
| op(op(e4,op(e4,e4)),e4) = op(op(e4,e1),e4) ),
inference(resolve,[$cnf( $equal(op(op(e4,op(e4,e4)),e4),op(op(e4,op(e4,e4)),e4)) )],[refute_4_33,refute_4_34]) ).
cnf(refute_4_36,plain,
op(op(e4,op(e4,e4)),e4) = op(op(e4,e1),e4),
inference(resolve,[$cnf( $equal(op(e4,op(e4,e4)),op(e4,e1)) )],[refute_4_18,refute_4_35]) ).
cnf(refute_4_37,plain,
( e2 != op(op(e4,op(e4,e4)),e4)
| op(op(e4,op(e4,e4)),e4) != op(op(e4,e1),e4)
| e2 = op(op(e4,e1),e4) ),
introduced(tautology,[equality,[$cnf( ~ $equal(e2,op(op(e4,e1),e4)) ),[0],$fot(op(op(e4,op(e4,e4)),e4))]]) ).
cnf(refute_4_38,plain,
( e2 != op(op(e4,op(e4,e4)),e4)
| e2 = op(op(e4,e1),e4) ),
inference(resolve,[$cnf( $equal(op(op(e4,op(e4,e4)),e4),op(op(e4,e1),e4)) )],[refute_4_36,refute_4_37]) ).
cnf(refute_4_39,plain,
e2 = op(op(e4,e1),e4),
inference(resolve,[$cnf( $equal(e2,op(op(e4,op(e4,e4)),e4)) )],[refute_4_32,refute_4_38]) ).
cnf(refute_4_40,plain,
op(op(e4,e1),e4) = op(op(e4,e1),e4),
introduced(tautology,[refl,[$fot(op(op(e4,e1),e4))]]) ).
cnf(refute_4_41,plain,
( op(e4,e1) != e3
| op(op(e4,e1),e4) != op(op(e4,e1),e4)
| op(op(e4,e1),e4) = op(e3,e4) ),
introduced(tautology,[equality,[$cnf( $equal(op(op(e4,e1),e4),op(op(e4,e1),e4)) ),[1,0],$fot(e3)]]) ).
cnf(refute_4_42,plain,
( op(e4,e1) != e3
| op(op(e4,e1),e4) = op(e3,e4) ),
inference(resolve,[$cnf( $equal(op(op(e4,e1),e4),op(op(e4,e1),e4)) )],[refute_4_40,refute_4_41]) ).
cnf(refute_4_43,plain,
op(op(e4,e1),e4) = op(e3,e4),
inference(resolve,[$cnf( $equal(op(e4,e1),e3) )],[refute_4_23,refute_4_42]) ).
cnf(refute_4_44,plain,
( e2 != op(op(e4,e1),e4)
| op(op(e4,e1),e4) != op(e3,e4)
| e2 = op(e3,e4) ),
introduced(tautology,[equality,[$cnf( ~ $equal(e2,op(e3,e4)) ),[0],$fot(op(op(e4,e1),e4))]]) ).
cnf(refute_4_45,plain,
( e2 != op(op(e4,e1),e4)
| e2 = op(e3,e4) ),
inference(resolve,[$cnf( $equal(op(op(e4,e1),e4),op(e3,e4)) )],[refute_4_43,refute_4_44]) ).
cnf(refute_4_46,plain,
e2 = op(e3,e4),
inference(resolve,[$cnf( $equal(e2,op(op(e4,e1),e4)) )],[refute_4_39,refute_4_45]) ).
cnf(refute_4_47,plain,
( e2 != op(e3,e4)
| op(e3,e4) = e2 ),
inference(subst,[],[refute_4_12:[bind(X,$fot(e2)),bind(Y,$fot(op(e3,e4)))]]) ).
cnf(refute_4_48,plain,
op(e3,e4) = e2,
inference(resolve,[$cnf( $equal(e2,op(e3,e4)) )],[refute_4_46,refute_4_47]) ).
cnf(refute_4_49,plain,
( op(e3,e4) != e2
| op(e3,e4) != e4
| e2 = e4 ),
introduced(tautology,[equality,[$cnf( $equal(op(e3,e4),e4) ),[0],$fot(e2)]]) ).
cnf(refute_4_50,plain,
( op(e3,e4) != e4
| e2 = e4 ),
inference(resolve,[$cnf( $equal(op(e3,e4),e2) )],[refute_4_48,refute_4_49]) ).
cnf(refute_4_51,plain,
( e2 = e4
| unit = e0
| unit = e2
| unit = e4 ),
inference(resolve,[$cnf( $equal(op(e3,e4),e4) )],[refute_4_31,refute_4_50]) ).
cnf(refute_4_52,plain,
e2 != e4,
inference(canonicalize,[],[normalize_4_13]) ).
cnf(refute_4_53,plain,
( unit = e0
| unit = e2
| unit = e4 ),
inference(resolve,[$cnf( $equal(e2,e4) )],[refute_4_51,refute_4_52]) ).
cnf(refute_4_54,plain,
( op(e4,unit) != e4
| unit != e4
| op(e4,e4) = e4 ),
introduced(tautology,[equality,[$cnf( $equal(op(e4,unit),e4) ),[0,1],$fot(e4)]]) ).
cnf(refute_4_55,plain,
( op(e4,unit) != e4
| op(e4,e4) = e4
| unit = e0
| unit = e2 ),
inference(resolve,[$cnf( $equal(unit,e4) )],[refute_4_53,refute_4_54]) ).
cnf(refute_4_56,plain,
( op(e4,e4) = e4
| unit = e0
| unit = e2 ),
inference(resolve,[$cnf( $equal(op(e4,unit),e4) )],[refute_4_2,refute_4_55]) ).
cnf(refute_4_57,plain,
( op(e4,e4) != e1
| op(e4,e4) != e4
| e1 = e4 ),
introduced(tautology,[equality,[$cnf( $equal(op(e4,e4),e4) ),[0],$fot(e1)]]) ).
cnf(refute_4_58,plain,
( op(e4,e4) != e4
| e1 = e4 ),
inference(resolve,[$cnf( $equal(op(e4,e4),e1) )],[refute_4_14,refute_4_57]) ).
cnf(refute_4_59,plain,
( e1 = e4
| unit = e0
| unit = e2 ),
inference(resolve,[$cnf( $equal(op(e4,e4),e4) )],[refute_4_56,refute_4_58]) ).
cnf(refute_4_60,plain,
e1 != e4,
inference(canonicalize,[],[normalize_4_14]) ).
cnf(refute_4_61,plain,
( unit = e0
| unit = e2 ),
inference(resolve,[$cnf( $equal(e1,e4) )],[refute_4_59,refute_4_60]) ).
cnf(refute_4_62,plain,
( op(e4,unit) != e4
| unit != e0
| op(e4,e0) = e4 ),
introduced(tautology,[equality,[$cnf( $equal(op(e4,unit),e4) ),[0,1],$fot(e0)]]) ).
cnf(refute_4_63,plain,
( op(e4,unit) != e4
| op(e4,e0) = e4
| unit = e2 ),
inference(resolve,[$cnf( $equal(unit,e0) )],[refute_4_61,refute_4_62]) ).
cnf(refute_4_64,plain,
( op(e4,e0) = e4
| unit = e2 ),
inference(resolve,[$cnf( $equal(op(e4,unit),e4) )],[refute_4_2,refute_4_63]) ).
cnf(refute_4_65,plain,
( e4 != op(e0,e4)
| op(e4,e0) != e4
| op(e4,e0) = op(e0,e4) ),
introduced(tautology,[equality,[$cnf( $equal(op(e4,e0),e4) ),[1],$fot(op(e0,e4))]]) ).
cnf(refute_4_66,plain,
( e4 != op(e0,e4)
| op(e4,e0) = op(e0,e4)
| unit = e2 ),
inference(resolve,[$cnf( $equal(op(e4,e0),e4) )],[refute_4_64,refute_4_65]) ).
cnf(refute_4_67,plain,
( e4 != op(e0,e4)
| unit = e2 ),
inference(resolve,[$cnf( $equal(op(e4,e0),op(e0,e4)) )],[refute_4_66,refute_4_1]) ).
cnf(refute_4_68,plain,
( op(unit,e4) != e4
| unit != e0
| op(e0,e4) = e4 ),
introduced(tautology,[equality,[$cnf( $equal(op(unit,e4),e4) ),[0,0],$fot(e0)]]) ).
cnf(refute_4_69,plain,
( op(unit,e4) != e4
| op(e0,e4) = e4
| unit = e2 ),
inference(resolve,[$cnf( $equal(unit,e0) )],[refute_4_61,refute_4_68]) ).
cnf(refute_4_70,plain,
( op(e0,e4) = e4
| unit = e2 ),
inference(resolve,[$cnf( $equal(op(unit,e4),e4) )],[refute_4_3,refute_4_69]) ).
cnf(refute_4_71,plain,
( e4 != e4
| op(e0,e4) != e4
| e4 = op(e0,e4) ),
introduced(tautology,[equality,[$cnf( ~ $equal(e4,op(e0,e4)) ),[1],$fot(e4)]]) ).
cnf(refute_4_72,plain,
( e4 != e4
| e4 = op(e0,e4)
| unit = e2 ),
inference(resolve,[$cnf( $equal(op(e0,e4),e4) )],[refute_4_70,refute_4_71]) ).
cnf(refute_4_73,plain,
( e4 != e4
| unit = e2 ),
inference(resolve,[$cnf( $equal(e4,op(e0,e4)) )],[refute_4_72,refute_4_67]) ).
cnf(refute_4_74,plain,
e4 = e4,
introduced(tautology,[refl,[$fot(e4)]]) ).
cnf(refute_4_75,plain,
unit = e2,
inference(resolve,[$cnf( $equal(e4,e4) )],[refute_4_74,refute_4_73]) ).
cnf(refute_4_76,plain,
op(e0,unit) = op(e0,unit),
introduced(tautology,[refl,[$fot(op(e0,unit))]]) ).
cnf(refute_4_77,plain,
( op(e0,unit) != op(e0,unit)
| unit != e2
| op(e0,unit) = op(e0,e2) ),
introduced(tautology,[equality,[$cnf( $equal(op(e0,unit),op(e0,unit)) ),[1,1],$fot(e2)]]) ).
cnf(refute_4_78,plain,
( unit != e2
| op(e0,unit) = op(e0,e2) ),
inference(resolve,[$cnf( $equal(op(e0,unit),op(e0,unit)) )],[refute_4_76,refute_4_77]) ).
cnf(refute_4_79,plain,
op(e0,unit) = op(e0,e2),
inference(resolve,[$cnf( $equal(unit,e2) )],[refute_4_75,refute_4_78]) ).
cnf(refute_4_80,plain,
( op(e0,unit) != e0
| op(e0,unit) != op(e0,e2)
| op(e0,e2) = e0 ),
introduced(tautology,[equality,[$cnf( $equal(op(e0,unit),e0) ),[0],$fot(op(e0,e2))]]) ).
cnf(refute_4_81,plain,
( op(e0,unit) != e0
| op(e0,e2) = e0 ),
inference(resolve,[$cnf( $equal(op(e0,unit),op(e0,e2)) )],[refute_4_79,refute_4_80]) ).
cnf(refute_4_82,plain,
op(e0,e2) = e0,
inference(resolve,[$cnf( $equal(op(e0,unit),e0) )],[refute_4_0,refute_4_81]) ).
cnf(refute_4_83,plain,
op(op(e0,e4),e4) = e0,
inference(canonicalize,[],[normalize_4_15]) ).
cnf(refute_4_84,plain,
( op(e0,e4) = e0
| op(e0,e4) = e1
| op(e0,e4) = e2
| op(e0,e4) = e3
| op(e0,e4) = e4 ),
inference(canonicalize,[],[normalize_4_17]) ).
cnf(refute_4_85,plain,
op(e0,e4) != op(e4,e4),
inference(canonicalize,[],[normalize_4_19]) ).
cnf(refute_4_86,plain,
( op(e0,e4) != e1
| op(e4,e4) != e1
| op(e0,e4) = op(e4,e4) ),
introduced(tautology,[equality,[$cnf( ~ $equal(op(e0,e4),op(e4,e4)) ),[1],$fot(e1)]]) ).
cnf(refute_4_87,plain,
( op(e0,e4) != e1
| op(e0,e4) = op(e4,e4) ),
inference(resolve,[$cnf( $equal(op(e4,e4),e1) )],[refute_4_14,refute_4_86]) ).
cnf(refute_4_88,plain,
op(e0,e4) != e1,
inference(resolve,[$cnf( $equal(op(e0,e4),op(e4,e4)) )],[refute_4_87,refute_4_85]) ).
cnf(refute_4_89,plain,
( op(e0,e4) = e0
| op(e0,e4) = e2
| op(e0,e4) = e3
| op(e0,e4) = e4 ),
inference(resolve,[$cnf( $equal(op(e0,e4),e1) )],[refute_4_84,refute_4_88]) ).
cnf(refute_4_90,plain,
op(e0,e4) != op(e1,e4),
inference(canonicalize,[],[normalize_4_20]) ).
cnf(refute_4_91,plain,
e0 = op(op(e4,e4),e4),
inference(canonicalize,[],[normalize_4_21]) ).
cnf(refute_4_92,plain,
op(op(e4,e4),e4) = op(op(e4,e4),e4),
introduced(tautology,[refl,[$fot(op(op(e4,e4),e4))]]) ).
cnf(refute_4_93,plain,
( op(e4,e4) != e1
| op(op(e4,e4),e4) != op(op(e4,e4),e4)
| op(op(e4,e4),e4) = op(e1,e4) ),
introduced(tautology,[equality,[$cnf( $equal(op(op(e4,e4),e4),op(op(e4,e4),e4)) ),[1,0],$fot(e1)]]) ).
cnf(refute_4_94,plain,
( op(e4,e4) != e1
| op(op(e4,e4),e4) = op(e1,e4) ),
inference(resolve,[$cnf( $equal(op(op(e4,e4),e4),op(op(e4,e4),e4)) )],[refute_4_92,refute_4_93]) ).
cnf(refute_4_95,plain,
op(op(e4,e4),e4) = op(e1,e4),
inference(resolve,[$cnf( $equal(op(e4,e4),e1) )],[refute_4_14,refute_4_94]) ).
cnf(refute_4_96,plain,
( e0 != op(op(e4,e4),e4)
| op(op(e4,e4),e4) != op(e1,e4)
| e0 = op(e1,e4) ),
introduced(tautology,[equality,[$cnf( ~ $equal(e0,op(e1,e4)) ),[0],$fot(op(op(e4,e4),e4))]]) ).
cnf(refute_4_97,plain,
( e0 != op(op(e4,e4),e4)
| e0 = op(e1,e4) ),
inference(resolve,[$cnf( $equal(op(op(e4,e4),e4),op(e1,e4)) )],[refute_4_95,refute_4_96]) ).
cnf(refute_4_98,plain,
e0 = op(e1,e4),
inference(resolve,[$cnf( $equal(e0,op(op(e4,e4),e4)) )],[refute_4_91,refute_4_97]) ).
cnf(refute_4_99,plain,
( e0 != op(e1,e4)
| op(e1,e4) = e0 ),
inference(subst,[],[refute_4_12:[bind(X,$fot(e0)),bind(Y,$fot(op(e1,e4)))]]) ).
cnf(refute_4_100,plain,
op(e1,e4) = e0,
inference(resolve,[$cnf( $equal(e0,op(e1,e4)) )],[refute_4_98,refute_4_99]) ).
cnf(refute_4_101,plain,
( op(e0,e4) != e0
| op(e1,e4) != e0
| op(e0,e4) = op(e1,e4) ),
introduced(tautology,[equality,[$cnf( ~ $equal(op(e0,e4),op(e1,e4)) ),[1],$fot(e0)]]) ).
cnf(refute_4_102,plain,
( op(e0,e4) != e0
| op(e0,e4) = op(e1,e4) ),
inference(resolve,[$cnf( $equal(op(e1,e4),e0) )],[refute_4_100,refute_4_101]) ).
cnf(refute_4_103,plain,
op(e0,e4) != e0,
inference(resolve,[$cnf( $equal(op(e0,e4),op(e1,e4)) )],[refute_4_102,refute_4_90]) ).
cnf(refute_4_104,plain,
( op(e0,e4) = e2
| op(e0,e4) = e3
| op(e0,e4) = e4 ),
inference(resolve,[$cnf( $equal(op(e0,e4),e0) )],[refute_4_89,refute_4_103]) ).
cnf(refute_4_105,plain,
op(e0,e4) != op(e3,e4),
inference(canonicalize,[],[normalize_4_22]) ).
cnf(refute_4_106,plain,
( op(e0,e4) != e2
| op(e3,e4) != e2
| op(e0,e4) = op(e3,e4) ),
introduced(tautology,[equality,[$cnf( ~ $equal(op(e0,e4),op(e3,e4)) ),[1],$fot(e2)]]) ).
cnf(refute_4_107,plain,
( op(e0,e4) != e2
| op(e0,e4) = op(e3,e4) ),
inference(resolve,[$cnf( $equal(op(e3,e4),e2) )],[refute_4_48,refute_4_106]) ).
cnf(refute_4_108,plain,
op(e0,e4) != e2,
inference(resolve,[$cnf( $equal(op(e0,e4),op(e3,e4)) )],[refute_4_107,refute_4_105]) ).
cnf(refute_4_109,plain,
( op(e0,e4) = e3
| op(e0,e4) = e4 ),
inference(resolve,[$cnf( $equal(op(e0,e4),e2) )],[refute_4_104,refute_4_108]) ).
cnf(refute_4_110,plain,
op(e0,e4) != op(e2,e4),
inference(canonicalize,[],[normalize_4_23]) ).
cnf(refute_4_111,plain,
op(unit,e4) = op(unit,e4),
introduced(tautology,[refl,[$fot(op(unit,e4))]]) ).
cnf(refute_4_112,plain,
( op(unit,e4) != op(unit,e4)
| unit != e2
| op(unit,e4) = op(e2,e4) ),
introduced(tautology,[equality,[$cnf( $equal(op(unit,e4),op(unit,e4)) ),[1,0],$fot(e2)]]) ).
cnf(refute_4_113,plain,
( unit != e2
| op(unit,e4) = op(e2,e4) ),
inference(resolve,[$cnf( $equal(op(unit,e4),op(unit,e4)) )],[refute_4_111,refute_4_112]) ).
cnf(refute_4_114,plain,
op(unit,e4) = op(e2,e4),
inference(resolve,[$cnf( $equal(unit,e2) )],[refute_4_75,refute_4_113]) ).
cnf(refute_4_115,plain,
( op(unit,e4) != e4
| op(unit,e4) != op(e2,e4)
| op(e2,e4) = e4 ),
introduced(tautology,[equality,[$cnf( $equal(op(unit,e4),e4) ),[0],$fot(op(e2,e4))]]) ).
cnf(refute_4_116,plain,
( op(unit,e4) != e4
| op(e2,e4) = e4 ),
inference(resolve,[$cnf( $equal(op(unit,e4),op(e2,e4)) )],[refute_4_114,refute_4_115]) ).
cnf(refute_4_117,plain,
op(e2,e4) = e4,
inference(resolve,[$cnf( $equal(op(unit,e4),e4) )],[refute_4_3,refute_4_116]) ).
cnf(refute_4_118,plain,
( op(e0,e4) != e4
| op(e2,e4) != e4
| op(e0,e4) = op(e2,e4) ),
introduced(tautology,[equality,[$cnf( ~ $equal(op(e0,e4),op(e2,e4)) ),[1],$fot(e4)]]) ).
cnf(refute_4_119,plain,
( op(e0,e4) != e4
| op(e0,e4) = op(e2,e4) ),
inference(resolve,[$cnf( $equal(op(e2,e4),e4) )],[refute_4_117,refute_4_118]) ).
cnf(refute_4_120,plain,
op(e0,e4) != e4,
inference(resolve,[$cnf( $equal(op(e0,e4),op(e2,e4)) )],[refute_4_119,refute_4_110]) ).
cnf(refute_4_121,plain,
op(e0,e4) = e3,
inference(resolve,[$cnf( $equal(op(e0,e4),e4) )],[refute_4_109,refute_4_120]) ).
cnf(refute_4_122,plain,
op(op(e0,e4),e4) = op(op(e0,e4),e4),
introduced(tautology,[refl,[$fot(op(op(e0,e4),e4))]]) ).
cnf(refute_4_123,plain,
( op(e0,e4) != e3
| op(op(e0,e4),e4) != op(op(e0,e4),e4)
| op(op(e0,e4),e4) = op(e3,e4) ),
introduced(tautology,[equality,[$cnf( $equal(op(op(e0,e4),e4),op(op(e0,e4),e4)) ),[1,0],$fot(e3)]]) ).
cnf(refute_4_124,plain,
( op(e0,e4) != e3
| op(op(e0,e4),e4) = op(e3,e4) ),
inference(resolve,[$cnf( $equal(op(op(e0,e4),e4),op(op(e0,e4),e4)) )],[refute_4_122,refute_4_123]) ).
cnf(refute_4_125,plain,
op(op(e0,e4),e4) = op(e3,e4),
inference(resolve,[$cnf( $equal(op(e0,e4),e3) )],[refute_4_121,refute_4_124]) ).
cnf(refute_4_126,plain,
( Y != X
| Y != Z
| X = Z ),
introduced(tautology,[equality,[$cnf( $equal(Y,Z) ),[0],$fot(X)]]) ).
cnf(refute_4_127,plain,
( X != Y
| Y != Z
| X = Z ),
inference(resolve,[$cnf( $equal(Y,X) )],[refute_4_12,refute_4_126]) ).
cnf(refute_4_128,plain,
( op(e3,e4) != e2
| op(op(e0,e4),e4) != op(e3,e4)
| op(op(e0,e4),e4) = e2 ),
inference(subst,[],[refute_4_127:[bind(X,$fot(op(op(e0,e4),e4))),bind(Y,$fot(op(e3,e4))),bind(Z,$fot(e2))]]) ).
cnf(refute_4_129,plain,
( op(e3,e4) != e2
| op(op(e0,e4),e4) = e2 ),
inference(resolve,[$cnf( $equal(op(op(e0,e4),e4),op(e3,e4)) )],[refute_4_125,refute_4_128]) ).
cnf(refute_4_130,plain,
op(op(e0,e4),e4) = e2,
inference(resolve,[$cnf( $equal(op(e3,e4),e2) )],[refute_4_48,refute_4_129]) ).
cnf(refute_4_131,plain,
( op(op(e0,e4),e4) != e0
| op(op(e0,e4),e4) != e2
| e2 = e0 ),
introduced(tautology,[equality,[$cnf( $equal(op(op(e0,e4),e4),e0) ),[0],$fot(e2)]]) ).
cnf(refute_4_132,plain,
( op(op(e0,e4),e4) != e0
| e2 = e0 ),
inference(resolve,[$cnf( $equal(op(op(e0,e4),e4),e2) )],[refute_4_130,refute_4_131]) ).
cnf(refute_4_133,plain,
e2 = e0,
inference(resolve,[$cnf( $equal(op(op(e0,e4),e4),e0) )],[refute_4_83,refute_4_132]) ).
cnf(refute_4_134,plain,
op(e0,e2) = op(e0,e2),
introduced(tautology,[refl,[$fot(op(e0,e2))]]) ).
cnf(refute_4_135,plain,
( e2 != e0
| op(e0,e2) != op(e0,e2)
| op(e0,e2) = op(e0,e0) ),
introduced(tautology,[equality,[$cnf( $equal(op(e0,e2),op(e0,e2)) ),[1,1],$fot(e0)]]) ).
cnf(refute_4_136,plain,
( e2 != e0
| op(e0,e2) = op(e0,e0) ),
inference(resolve,[$cnf( $equal(op(e0,e2),op(e0,e2)) )],[refute_4_134,refute_4_135]) ).
cnf(refute_4_137,plain,
op(e0,e2) = op(e0,e0),
inference(resolve,[$cnf( $equal(e2,e0) )],[refute_4_133,refute_4_136]) ).
cnf(refute_4_138,plain,
( op(e0,e2) != e0
| op(e0,e2) != op(e0,e0)
| op(e0,e0) = e0 ),
introduced(tautology,[equality,[$cnf( $equal(op(e0,e2),e0) ),[0],$fot(op(e0,e0))]]) ).
cnf(refute_4_139,plain,
( op(e0,e2) != e0
| op(e0,e0) = e0 ),
inference(resolve,[$cnf( $equal(op(e0,e2),op(e0,e0)) )],[refute_4_137,refute_4_138]) ).
cnf(refute_4_140,plain,
op(e0,e0) = e0,
inference(resolve,[$cnf( $equal(op(e0,e2),e0) )],[refute_4_82,refute_4_139]) ).
cnf(refute_4_141,plain,
op(e0,e0) != op(e0,e2),
inference(canonicalize,[],[normalize_4_24]) ).
cnf(refute_4_142,plain,
( op(e0,e0) != e0
| op(e0,e2) != e0
| op(e0,e0) = op(e0,e2) ),
introduced(tautology,[equality,[$cnf( ~ $equal(op(e0,e0),op(e0,e2)) ),[1],$fot(e0)]]) ).
cnf(refute_4_143,plain,
( op(e0,e0) != e0
| op(e0,e0) = op(e0,e2) ),
inference(resolve,[$cnf( $equal(op(e0,e2),e0) )],[refute_4_82,refute_4_142]) ).
cnf(refute_4_144,plain,
op(e0,e0) != e0,
inference(resolve,[$cnf( $equal(op(e0,e0),op(e0,e2)) )],[refute_4_143,refute_4_141]) ).
cnf(refute_4_145,plain,
$false,
inference(resolve,[$cnf( $equal(op(e0,e0),e0) )],[refute_4_140,refute_4_144]) ).
fof(negate_5_0,plain,
~ ( ( ( ( op(e0,e0) = e0
& op(e0,e0) = e0
& op(e0,e0) != e0 )
| ( op(e0,e0) = e1
& op(e1,e1) = e0
& op(e0,e1) != e0 )
| ( op(e0,e0) = e2
& op(e2,e2) = e0
& op(e0,e2) != e0 )
| ( op(e0,e0) = e3
& op(e3,e3) = e0
& op(e0,e3) != e0 )
| ( op(e0,e0) = e4
& op(e4,e4) = e0
& op(e0,e4) != e0 )
| ( op(e1,e1) = e0
& op(e0,e0) = e1
& op(e1,e0) != e1 )
| ( op(e1,e1) = e1
& op(e1,e1) = e1
& op(e1,e1) != e1 )
| ( op(e1,e1) = e2
& op(e2,e2) = e1
& op(e1,e2) != e1 )
| ( op(e1,e1) = e3
& op(e3,e3) = e1
& op(e1,e3) != e1 )
| ( op(e1,e1) = e4
& op(e4,e4) = e1
& op(e1,e4) != e1 )
| ( op(e2,e2) = e0
& op(e0,e0) = e2
& op(e2,e0) != e2 )
| ( op(e2,e2) = e1
& op(e1,e1) = e2
& op(e2,e1) != e2 )
| ( op(e2,e2) = e2
& op(e2,e2) = e2
& op(e2,e2) != e2 )
| ( op(e2,e2) = e3
& op(e3,e3) = e2
& op(e2,e3) != e2 )
| ( op(e2,e2) = e4
& op(e4,e4) = e2
& op(e2,e4) != e2 )
| ( op(e3,e3) = e0
& op(e0,e0) = e3
& op(e3,e0) != e3 )
| ( op(e3,e3) = e1
& op(e1,e1) = e3
& op(e3,e1) != e3 )
| ( op(e3,e3) = e2
& op(e2,e2) = e3
& op(e3,e2) != e3 )
| ( op(e3,e3) = e3
& op(e3,e3) = e3
& op(e3,e3) != e3 )
| ( op(e3,e3) = e4
& op(e4,e4) = e3
& op(e3,e4) != e3 )
| ( op(e4,e4) = e0
& op(e0,e0) = e4
& op(e4,e0) != e4 )
| ( op(e4,e4) = e1
& op(e1,e1) = e4
& op(e4,e1) != e4 )
| ( op(e4,e4) = e2
& op(e2,e2) = e4
& op(e4,e2) != e4 )
| ( op(e4,e4) = e3
& op(e3,e3) = e4
& op(e4,e3) != e4 )
| ( op(e4,e4) = e4
& op(e4,e4) = e4
& op(e4,e4) != e4 ) )
& ~ ( op(e0,e0) != op(e0,e0)
& op(op(e0,e0),e0) = e0
& op(op(e0,e0),e0) != e0 )
& ~ ( op(e1,e0) != op(e0,e1)
& op(op(e0,e1),e1) = e0
& op(op(e0,e1),e0) != e1 )
& ~ ( op(e2,e0) != op(e0,e2)
& op(op(e0,e2),e2) = e0
& op(op(e0,e2),e0) != e2 )
& ~ ( op(e3,e0) != op(e0,e3)
& op(op(e0,e3),e3) = e0
& op(op(e0,e3),e0) != e3 )
& ~ ( op(e4,e0) != op(e0,e4)
& op(op(e0,e4),e4) = e0
& op(op(e0,e4),e0) != e4 )
& op(e0,e1) != op(e1,e0)
& op(op(e1,e0),e0) = e1 )
=> op(op(e1,e0),e1) = e0 ),
inference(negate,[],[subgoal_5]) ).
fof(normalize_5_0,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_5_1,plain,
op(e0,e1) != op(e0,e3),
inference(conjunct,[],[normalize_5_0]) ).
fof(normalize_5_2,plain,
op(e0,e1) != op(e3,e1),
inference(conjunct,[],[normalize_5_0]) ).
fof(normalize_5_3,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_5_4,plain,
( op(e0,e1) = e0
| op(e0,e1) = e1
| op(e0,e1) = e2
| op(e0,e1) = e3
| op(e0,e1) = e4 ),
inference(conjunct,[],[normalize_5_3]) ).
fof(normalize_5_5,plain,
op(e0,e1) != op(e4,e1),
inference(conjunct,[],[normalize_5_0]) ).
fof(normalize_5_6,plain,
( e0 = op(op(e4,e4),e4)
& e1 = op(e4,e4)
& e2 = op(op(e4,op(e4,e4)),e4)
& e3 = op(e4,op(e4,e4)) ),
inference(canonicalize,[],[ax6]) ).
fof(normalize_5_7,plain,
e3 = op(e4,op(e4,e4)),
inference(conjunct,[],[normalize_5_6]) ).
fof(normalize_5_8,plain,
e1 = op(e4,e4),
inference(conjunct,[],[normalize_5_6]) ).
fof(normalize_5_9,plain,
op(e0,e1) != op(e0,e2),
inference(conjunct,[],[normalize_5_0]) ).
fof(normalize_5_10,plain,
( op(e0,unit) = e0
& op(e1,unit) = e1
& op(e2,unit) = e2
& op(e3,unit) = e3
& op(e4,unit) = e4
& op(unit,e0) = e0
& op(unit,e1) = e1
& op(unit,e2) = e2
& op(unit,e3) = e3
& op(unit,e4) = e4
& ( unit = e0
| unit = e1
| unit = e2
| unit = e3
| unit = e4 ) ),
inference(canonicalize,[],[ax2]) ).
fof(normalize_5_11,plain,
op(e0,unit) = e0,
inference(conjunct,[],[normalize_5_10]) ).
fof(normalize_5_12,plain,
( op(e0,e1) != op(e1,e0)
& op(op(e1,e0),e1) != e0
& op(op(e1,e0),e0) = e1
& ( op(op(e0,e1),e1) != e0
| op(e1,e0) = op(e0,e1)
| op(op(e0,e1),e0) = e1 )
& ( op(op(e0,e2),e2) != e0
| op(e2,e0) = op(e0,e2)
| op(op(e0,e2),e0) = e2 )
& ( op(op(e0,e3),e3) != e0
| op(e3,e0) = op(e0,e3)
| op(op(e0,e3),e0) = e3 )
& ( op(op(e0,e4),e4) != e0
| op(e4,e0) = op(e0,e4)
| op(op(e0,e4),e0) = e4 )
& ( ( op(e0,e1) != e0
& op(e0,e0) = e1
& op(e1,e1) = e0 )
| ( op(e0,e2) != e0
& op(e0,e0) = e2
& op(e2,e2) = e0 )
| ( op(e0,e3) != e0
& op(e0,e0) = e3
& op(e3,e3) = e0 )
| ( op(e0,e4) != e0
& op(e0,e0) = e4
& op(e4,e4) = e0 )
| ( op(e1,e0) != e1
& op(e0,e0) = e1
& op(e1,e1) = e0 )
| ( op(e1,e2) != e1
& op(e1,e1) = e2
& op(e2,e2) = e1 )
| ( op(e1,e3) != e1
& op(e1,e1) = e3
& op(e3,e3) = e1 )
| ( op(e1,e4) != e1
& op(e1,e1) = e4
& op(e4,e4) = e1 )
| ( op(e2,e0) != e2
& op(e0,e0) = e2
& op(e2,e2) = e0 )
| ( op(e2,e1) != e2
& op(e1,e1) = e2
& op(e2,e2) = e1 )
| ( op(e2,e3) != e2
& op(e2,e2) = e3
& op(e3,e3) = e2 )
| ( op(e2,e4) != e2
& op(e2,e2) = e4
& op(e4,e4) = e2 )
| ( op(e3,e0) != e3
& op(e0,e0) = e3
& op(e3,e3) = e0 )
| ( op(e3,e1) != e3
& op(e1,e1) = e3
& op(e3,e3) = e1 )
| ( op(e3,e2) != e3
& op(e2,e2) = e3
& op(e3,e3) = e2 )
| ( op(e3,e4) != e3
& op(e3,e3) = e4
& op(e4,e4) = e3 )
| ( op(e4,e0) != e4
& op(e0,e0) = e4
& op(e4,e4) = e0 )
| ( op(e4,e1) != e4
& op(e1,e1) = e4
& op(e4,e4) = e1 )
| ( op(e4,e2) != e4
& op(e2,e2) = e4
& op(e4,e4) = e2 )
| ( op(e4,e3) != e4
& op(e3,e3) = e4
& op(e4,e4) = e3 ) ) ),
inference(canonicalize,[],[negate_5_0]) ).
fof(normalize_5_13,plain,
op(e0,e1) != op(e1,e0),
inference(conjunct,[],[normalize_5_12]) ).
fof(normalize_5_14,plain,
op(e1,unit) = e1,
inference(conjunct,[],[normalize_5_10]) ).
fof(normalize_5_15,plain,
op(unit,e3) = e3,
inference(conjunct,[],[normalize_5_10]) ).
fof(normalize_5_16,plain,
op(unit,e4) = e4,
inference(conjunct,[],[normalize_5_10]) ).
fof(normalize_5_17,plain,
op(e3,unit) = e3,
inference(conjunct,[],[normalize_5_10]) ).
fof(normalize_5_18,plain,
( unit = e0
| unit = e1
| unit = e2
| unit = e3
| unit = e4 ),
inference(conjunct,[],[normalize_5_10]) ).
fof(normalize_5_19,plain,
op(e3,e1) != op(e4,e1),
inference(conjunct,[],[normalize_5_0]) ).
fof(normalize_5_20,plain,
e2 = op(op(e4,op(e4,e4)),e4),
inference(conjunct,[],[normalize_5_6]) ).
fof(normalize_5_21,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_5_22,plain,
e2 != e4,
inference(conjunct,[],[normalize_5_21]) ).
fof(normalize_5_23,plain,
op(e4,e1) != op(e4,e3),
inference(conjunct,[],[normalize_5_0]) ).
fof(normalize_5_24,plain,
op(unit,e1) = e1,
inference(conjunct,[],[normalize_5_10]) ).
fof(normalize_5_25,plain,
op(e0,e1) != op(e2,e1),
inference(conjunct,[],[normalize_5_0]) ).
fof(normalize_5_26,plain,
( op(e3,e1) = e0
| op(e3,e1) = e1
| op(e3,e1) = e2
| op(e3,e1) = e3
| op(e3,e1) = e4 ),
inference(conjunct,[],[normalize_5_3]) ).
fof(normalize_5_27,plain,
op(op(e1,e0),e1) != e0,
inference(conjunct,[],[normalize_5_12]) ).
fof(normalize_5_28,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,[],[ax3]) ).
fof(normalize_5_29,plain,
( op(e1,e0) = e3
| op(e1,e1) = e3
| op(e1,e2) = e3
| op(e1,e3) = e3
| op(e1,e4) = e3 ),
inference(conjunct,[],[normalize_5_28]) ).
fof(normalize_5_30,plain,
op(e1,e1) != op(e4,e1),
inference(conjunct,[],[normalize_5_0]) ).
fof(normalize_5_31,plain,
e0 = op(op(e4,e4),e4),
inference(conjunct,[],[normalize_5_6]) ).
fof(normalize_5_32,plain,
e0 != e3,
inference(conjunct,[],[normalize_5_21]) ).
fof(normalize_5_33,plain,
op(e4,e1) != op(e4,e4),
inference(conjunct,[],[normalize_5_0]) ).
fof(normalize_5_34,plain,
op(e1,e3) != op(e2,e3),
inference(conjunct,[],[normalize_5_0]) ).
fof(normalize_5_35,plain,
op(e3,e0) != op(e3,e1),
inference(conjunct,[],[normalize_5_0]) ).
fof(normalize_5_36,plain,
op(op(e1,e0),e0) = e1,
inference(conjunct,[],[normalize_5_12]) ).
fof(normalize_5_37,plain,
op(e3,e1) != op(e3,e4),
inference(conjunct,[],[normalize_5_0]) ).
fof(normalize_5_38,plain,
op(e1,e1) != op(e3,e1),
inference(conjunct,[],[normalize_5_0]) ).
fof(normalize_5_39,plain,
op(e1,e1) != op(e1,e3),
inference(conjunct,[],[normalize_5_0]) ).
fof(normalize_5_40,plain,
( op(e1,e3) = e0
| op(e1,e3) = e1
| op(e1,e3) = e2
| op(e1,e3) = e3
| op(e1,e3) = e4 ),
inference(conjunct,[],[normalize_5_3]) ).
fof(normalize_5_41,plain,
op(e1,e3) != op(e1,e4),
inference(conjunct,[],[normalize_5_0]) ).
fof(normalize_5_42,plain,
op(e1,e2) != op(e1,e3),
inference(conjunct,[],[normalize_5_0]) ).
fof(normalize_5_43,plain,
op(e1,e1) != op(e1,e2),
inference(conjunct,[],[normalize_5_0]) ).
fof(normalize_5_44,plain,
( op(e1,e1) = e0
| op(e1,e1) = e1
| op(e1,e1) = e2
| op(e1,e1) = e3
| op(e1,e1) = e4 ),
inference(conjunct,[],[normalize_5_3]) ).
fof(normalize_5_45,plain,
op(e1,e1) != op(e1,e4),
inference(conjunct,[],[normalize_5_0]) ).
fof(normalize_5_46,plain,
( op(e0,e3) = e2
| op(e1,e3) = e2
| op(e2,e3) = e2
| op(e3,e3) = e2
| op(e4,e3) = e2 ),
inference(conjunct,[],[normalize_5_28]) ).
fof(normalize_5_47,plain,
( op(e4,e0) = e0
| op(e4,e1) = e0
| op(e4,e2) = e0
| op(e4,e3) = e0
| op(e4,e4) = e0 ),
inference(conjunct,[],[normalize_5_28]) ).
fof(normalize_5_48,plain,
e0 != e1,
inference(conjunct,[],[normalize_5_21]) ).
fof(normalize_5_49,plain,
op(e4,unit) = e4,
inference(conjunct,[],[normalize_5_10]) ).
fof(normalize_5_50,plain,
e0 != e4,
inference(conjunct,[],[normalize_5_21]) ).
fof(normalize_5_51,plain,
op(e2,e0) != op(e4,e0),
inference(conjunct,[],[normalize_5_0]) ).
fof(normalize_5_52,plain,
op(unit,e0) = e0,
inference(conjunct,[],[normalize_5_10]) ).
fof(normalize_5_53,plain,
e0 != e2,
inference(conjunct,[],[normalize_5_21]) ).
fof(normalize_5_54,plain,
e2 != e3,
inference(conjunct,[],[normalize_5_21]) ).
fof(normalize_5_55,plain,
op(e3,e3) != op(e3,e4),
inference(conjunct,[],[normalize_5_0]) ).
cnf(refute_5_0,plain,
op(e0,e1) != op(e0,e3),
inference(canonicalize,[],[normalize_5_1]) ).
cnf(refute_5_1,plain,
op(e0,e1) != op(e3,e1),
inference(canonicalize,[],[normalize_5_2]) ).
cnf(refute_5_2,plain,
( op(e0,e1) = e0
| op(e0,e1) = e1
| op(e0,e1) = e2
| op(e0,e1) = e3
| op(e0,e1) = e4 ),
inference(canonicalize,[],[normalize_5_4]) ).
cnf(refute_5_3,plain,
op(e0,e1) != op(e4,e1),
inference(canonicalize,[],[normalize_5_5]) ).
cnf(refute_5_4,plain,
e3 = op(e4,op(e4,e4)),
inference(canonicalize,[],[normalize_5_7]) ).
cnf(refute_5_5,plain,
e1 = op(e4,e4),
inference(canonicalize,[],[normalize_5_8]) ).
cnf(refute_5_6,plain,
X = X,
introduced(tautology,[refl,[$fot(X)]]) ).
cnf(refute_5_7,plain,
( X != X
| X != Y
| Y = X ),
introduced(tautology,[equality,[$cnf( $equal(X,X) ),[0],$fot(Y)]]) ).
cnf(refute_5_8,plain,
( X != Y
| Y = X ),
inference(resolve,[$cnf( $equal(X,X) )],[refute_5_6,refute_5_7]) ).
cnf(refute_5_9,plain,
( e1 != op(e4,e4)
| op(e4,e4) = e1 ),
inference(subst,[],[refute_5_8:[bind(X,$fot(e1)),bind(Y,$fot(op(e4,e4)))]]) ).
cnf(refute_5_10,plain,
op(e4,e4) = e1,
inference(resolve,[$cnf( $equal(e1,op(e4,e4)) )],[refute_5_5,refute_5_9]) ).
cnf(refute_5_11,plain,
op(e4,op(e4,e4)) = op(e4,op(e4,e4)),
introduced(tautology,[refl,[$fot(op(e4,op(e4,e4)))]]) ).
cnf(refute_5_12,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_5_13,plain,
( op(e4,e4) != e1
| op(e4,op(e4,e4)) = op(e4,e1) ),
inference(resolve,[$cnf( $equal(op(e4,op(e4,e4)),op(e4,op(e4,e4))) )],[refute_5_11,refute_5_12]) ).
cnf(refute_5_14,plain,
op(e4,op(e4,e4)) = op(e4,e1),
inference(resolve,[$cnf( $equal(op(e4,e4),e1) )],[refute_5_10,refute_5_13]) ).
cnf(refute_5_15,plain,
( e3 != op(e4,op(e4,e4))
| op(e4,op(e4,e4)) != op(e4,e1)
| e3 = op(e4,e1) ),
introduced(tautology,[equality,[$cnf( ~ $equal(e3,op(e4,e1)) ),[0],$fot(op(e4,op(e4,e4)))]]) ).
cnf(refute_5_16,plain,
( e3 != op(e4,op(e4,e4))
| e3 = op(e4,e1) ),
inference(resolve,[$cnf( $equal(op(e4,op(e4,e4)),op(e4,e1)) )],[refute_5_14,refute_5_15]) ).
cnf(refute_5_17,plain,
e3 = op(e4,e1),
inference(resolve,[$cnf( $equal(e3,op(e4,op(e4,e4))) )],[refute_5_4,refute_5_16]) ).
cnf(refute_5_18,plain,
( e3 != op(e4,e1)
| op(e4,e1) = e3 ),
inference(subst,[],[refute_5_8:[bind(X,$fot(e3)),bind(Y,$fot(op(e4,e1)))]]) ).
cnf(refute_5_19,plain,
op(e4,e1) = e3,
inference(resolve,[$cnf( $equal(e3,op(e4,e1)) )],[refute_5_17,refute_5_18]) ).
cnf(refute_5_20,plain,
( op(e0,e1) != e3
| op(e4,e1) != e3
| op(e0,e1) = op(e4,e1) ),
introduced(tautology,[equality,[$cnf( ~ $equal(op(e0,e1),op(e4,e1)) ),[1],$fot(e3)]]) ).
cnf(refute_5_21,plain,
( op(e0,e1) != e3
| op(e0,e1) = op(e4,e1) ),
inference(resolve,[$cnf( $equal(op(e4,e1),e3) )],[refute_5_19,refute_5_20]) ).
cnf(refute_5_22,plain,
op(e0,e1) != e3,
inference(resolve,[$cnf( $equal(op(e0,e1),op(e4,e1)) )],[refute_5_21,refute_5_3]) ).
cnf(refute_5_23,plain,
( op(e0,e1) = e0
| op(e0,e1) = e1
| op(e0,e1) = e2
| op(e0,e1) = e4 ),
inference(resolve,[$cnf( $equal(op(e0,e1),e3) )],[refute_5_2,refute_5_22]) ).
cnf(refute_5_24,plain,
op(e0,e1) != op(e0,e2),
inference(canonicalize,[],[normalize_5_9]) ).
cnf(refute_5_25,plain,
op(e0,unit) = e0,
inference(canonicalize,[],[normalize_5_11]) ).
cnf(refute_5_26,plain,
op(e0,e1) != op(e1,e0),
inference(canonicalize,[],[normalize_5_13]) ).
cnf(refute_5_27,plain,
op(e1,unit) = e1,
inference(canonicalize,[],[normalize_5_14]) ).
cnf(refute_5_28,plain,
op(unit,e3) = e3,
inference(canonicalize,[],[normalize_5_15]) ).
cnf(refute_5_29,plain,
op(unit,e4) = e4,
inference(canonicalize,[],[normalize_5_16]) ).
cnf(refute_5_30,plain,
op(e3,unit) = e3,
inference(canonicalize,[],[normalize_5_17]) ).
cnf(refute_5_31,plain,
( unit = e0
| unit = e1
| unit = e2
| unit = e3
| unit = e4 ),
inference(canonicalize,[],[normalize_5_18]) ).
cnf(refute_5_32,plain,
( op(e3,unit) != e3
| unit != e1
| op(e3,e1) = e3 ),
introduced(tautology,[equality,[$cnf( $equal(op(e3,unit),e3) ),[0,1],$fot(e1)]]) ).
cnf(refute_5_33,plain,
( op(e3,unit) != e3
| op(e3,e1) = e3
| unit = e0
| unit = e2
| unit = e3
| unit = e4 ),
inference(resolve,[$cnf( $equal(unit,e1) )],[refute_5_31,refute_5_32]) ).
cnf(refute_5_34,plain,
( op(e3,e1) = e3
| unit = e0
| unit = e2
| unit = e3
| unit = e4 ),
inference(resolve,[$cnf( $equal(op(e3,unit),e3) )],[refute_5_30,refute_5_33]) ).
cnf(refute_5_35,plain,
op(e3,e1) != op(e4,e1),
inference(canonicalize,[],[normalize_5_19]) ).
cnf(refute_5_36,plain,
( op(e3,e1) != e3
| op(e4,e1) != e3
| op(e3,e1) = op(e4,e1) ),
introduced(tautology,[equality,[$cnf( ~ $equal(op(e3,e1),op(e4,e1)) ),[1],$fot(e3)]]) ).
cnf(refute_5_37,plain,
( op(e3,e1) != e3
| op(e3,e1) = op(e4,e1) ),
inference(resolve,[$cnf( $equal(op(e4,e1),e3) )],[refute_5_19,refute_5_36]) ).
cnf(refute_5_38,plain,
op(e3,e1) != e3,
inference(resolve,[$cnf( $equal(op(e3,e1),op(e4,e1)) )],[refute_5_37,refute_5_35]) ).
cnf(refute_5_39,plain,
( unit = e0
| unit = e2
| unit = e3
| unit = e4 ),
inference(resolve,[$cnf( $equal(op(e3,e1),e3) )],[refute_5_34,refute_5_38]) ).
cnf(refute_5_40,plain,
( op(unit,e4) != e4
| unit != e3
| op(e3,e4) = e4 ),
introduced(tautology,[equality,[$cnf( $equal(op(unit,e4),e4) ),[0,0],$fot(e3)]]) ).
cnf(refute_5_41,plain,
( op(unit,e4) != e4
| op(e3,e4) = e4
| unit = e0
| unit = e2
| unit = e4 ),
inference(resolve,[$cnf( $equal(unit,e3) )],[refute_5_39,refute_5_40]) ).
cnf(refute_5_42,plain,
( op(e3,e4) = e4
| unit = e0
| unit = e2
| unit = e4 ),
inference(resolve,[$cnf( $equal(op(unit,e4),e4) )],[refute_5_29,refute_5_41]) ).
cnf(refute_5_43,plain,
e2 = op(op(e4,op(e4,e4)),e4),
inference(canonicalize,[],[normalize_5_20]) ).
cnf(refute_5_44,plain,
op(op(e4,op(e4,e4)),e4) = op(op(e4,op(e4,e4)),e4),
introduced(tautology,[refl,[$fot(op(op(e4,op(e4,e4)),e4))]]) ).
cnf(refute_5_45,plain,
( op(e4,op(e4,e4)) != op(e4,e1)
| op(op(e4,op(e4,e4)),e4) != op(op(e4,op(e4,e4)),e4)
| op(op(e4,op(e4,e4)),e4) = op(op(e4,e1),e4) ),
introduced(tautology,[equality,[$cnf( $equal(op(op(e4,op(e4,e4)),e4),op(op(e4,op(e4,e4)),e4)) ),[1,0],$fot(op(e4,e1))]]) ).
cnf(refute_5_46,plain,
( op(e4,op(e4,e4)) != op(e4,e1)
| op(op(e4,op(e4,e4)),e4) = op(op(e4,e1),e4) ),
inference(resolve,[$cnf( $equal(op(op(e4,op(e4,e4)),e4),op(op(e4,op(e4,e4)),e4)) )],[refute_5_44,refute_5_45]) ).
cnf(refute_5_47,plain,
op(op(e4,op(e4,e4)),e4) = op(op(e4,e1),e4),
inference(resolve,[$cnf( $equal(op(e4,op(e4,e4)),op(e4,e1)) )],[refute_5_14,refute_5_46]) ).
cnf(refute_5_48,plain,
( e2 != op(op(e4,op(e4,e4)),e4)
| op(op(e4,op(e4,e4)),e4) != op(op(e4,e1),e4)
| e2 = op(op(e4,e1),e4) ),
introduced(tautology,[equality,[$cnf( ~ $equal(e2,op(op(e4,e1),e4)) ),[0],$fot(op(op(e4,op(e4,e4)),e4))]]) ).
cnf(refute_5_49,plain,
( e2 != op(op(e4,op(e4,e4)),e4)
| e2 = op(op(e4,e1),e4) ),
inference(resolve,[$cnf( $equal(op(op(e4,op(e4,e4)),e4),op(op(e4,e1),e4)) )],[refute_5_47,refute_5_48]) ).
cnf(refute_5_50,plain,
e2 = op(op(e4,e1),e4),
inference(resolve,[$cnf( $equal(e2,op(op(e4,op(e4,e4)),e4)) )],[refute_5_43,refute_5_49]) ).
cnf(refute_5_51,plain,
op(op(e4,e1),e4) = op(op(e4,e1),e4),
introduced(tautology,[refl,[$fot(op(op(e4,e1),e4))]]) ).
cnf(refute_5_52,plain,
( op(e4,e1) != e3
| op(op(e4,e1),e4) != op(op(e4,e1),e4)
| op(op(e4,e1),e4) = op(e3,e4) ),
introduced(tautology,[equality,[$cnf( $equal(op(op(e4,e1),e4),op(op(e4,e1),e4)) ),[1,0],$fot(e3)]]) ).
cnf(refute_5_53,plain,
( op(e4,e1) != e3
| op(op(e4,e1),e4) = op(e3,e4) ),
inference(resolve,[$cnf( $equal(op(op(e4,e1),e4),op(op(e4,e1),e4)) )],[refute_5_51,refute_5_52]) ).
cnf(refute_5_54,plain,
op(op(e4,e1),e4) = op(e3,e4),
inference(resolve,[$cnf( $equal(op(e4,e1),e3) )],[refute_5_19,refute_5_53]) ).
cnf(refute_5_55,plain,
( e2 != op(op(e4,e1),e4)
| op(op(e4,e1),e4) != op(e3,e4)
| e2 = op(e3,e4) ),
introduced(tautology,[equality,[$cnf( ~ $equal(e2,op(e3,e4)) ),[0],$fot(op(op(e4,e1),e4))]]) ).
cnf(refute_5_56,plain,
( e2 != op(op(e4,e1),e4)
| e2 = op(e3,e4) ),
inference(resolve,[$cnf( $equal(op(op(e4,e1),e4),op(e3,e4)) )],[refute_5_54,refute_5_55]) ).
cnf(refute_5_57,plain,
e2 = op(e3,e4),
inference(resolve,[$cnf( $equal(e2,op(op(e4,e1),e4)) )],[refute_5_50,refute_5_56]) ).
cnf(refute_5_58,plain,
( e2 != op(e3,e4)
| op(e3,e4) = e2 ),
inference(subst,[],[refute_5_8:[bind(X,$fot(e2)),bind(Y,$fot(op(e3,e4)))]]) ).
cnf(refute_5_59,plain,
op(e3,e4) = e2,
inference(resolve,[$cnf( $equal(e2,op(e3,e4)) )],[refute_5_57,refute_5_58]) ).
cnf(refute_5_60,plain,
( op(e3,e4) != e2
| op(e3,e4) != e4
| e2 = e4 ),
introduced(tautology,[equality,[$cnf( $equal(op(e3,e4),e4) ),[0],$fot(e2)]]) ).
cnf(refute_5_61,plain,
( op(e3,e4) != e4
| e2 = e4 ),
inference(resolve,[$cnf( $equal(op(e3,e4),e2) )],[refute_5_59,refute_5_60]) ).
cnf(refute_5_62,plain,
( e2 = e4
| unit = e0
| unit = e2
| unit = e4 ),
inference(resolve,[$cnf( $equal(op(e3,e4),e4) )],[refute_5_42,refute_5_61]) ).
cnf(refute_5_63,plain,
e2 != e4,
inference(canonicalize,[],[normalize_5_22]) ).
cnf(refute_5_64,plain,
( unit = e0
| unit = e2
| unit = e4 ),
inference(resolve,[$cnf( $equal(e2,e4) )],[refute_5_62,refute_5_63]) ).
cnf(refute_5_65,plain,
( op(unit,e3) != e3
| unit != e4
| op(e4,e3) = e3 ),
introduced(tautology,[equality,[$cnf( $equal(op(unit,e3),e3) ),[0,0],$fot(e4)]]) ).
cnf(refute_5_66,plain,
( op(unit,e3) != e3
| op(e4,e3) = e3
| unit = e0
| unit = e2 ),
inference(resolve,[$cnf( $equal(unit,e4) )],[refute_5_64,refute_5_65]) ).
cnf(refute_5_67,plain,
( op(e4,e3) = e3
| unit = e0
| unit = e2 ),
inference(resolve,[$cnf( $equal(op(unit,e3),e3) )],[refute_5_28,refute_5_66]) ).
cnf(refute_5_68,plain,
op(e4,e1) != op(e4,e3),
inference(canonicalize,[],[normalize_5_23]) ).
cnf(refute_5_69,plain,
( e3 != op(e4,e3)
| op(e4,e1) != e3
| op(e4,e1) = op(e4,e3) ),
introduced(tautology,[equality,[$cnf( $equal(op(e4,e1),e3) ),[1],$fot(op(e4,e3))]]) ).
cnf(refute_5_70,plain,
( e3 != op(e4,e3)
| op(e4,e1) = op(e4,e3) ),
inference(resolve,[$cnf( $equal(op(e4,e1),e3) )],[refute_5_19,refute_5_69]) ).
cnf(refute_5_71,plain,
e3 != op(e4,e3),
inference(resolve,[$cnf( $equal(op(e4,e1),op(e4,e3)) )],[refute_5_70,refute_5_68]) ).
cnf(refute_5_72,plain,
( op(e4,e3) != e3
| e3 = op(e4,e3) ),
inference(subst,[],[refute_5_8:[bind(X,$fot(op(e4,e3))),bind(Y,$fot(e3))]]) ).
cnf(refute_5_73,plain,
op(e4,e3) != e3,
inference(resolve,[$cnf( $equal(e3,op(e4,e3)) )],[refute_5_72,refute_5_71]) ).
cnf(refute_5_74,plain,
( unit = e0
| unit = e2 ),
inference(resolve,[$cnf( $equal(op(e4,e3),e3) )],[refute_5_67,refute_5_73]) ).
cnf(refute_5_75,plain,
( op(e1,unit) != e1
| unit != e0
| op(e1,e0) = e1 ),
introduced(tautology,[equality,[$cnf( $equal(op(e1,unit),e1) ),[0,1],$fot(e0)]]) ).
cnf(refute_5_76,plain,
( op(e1,unit) != e1
| op(e1,e0) = e1
| unit = e2 ),
inference(resolve,[$cnf( $equal(unit,e0) )],[refute_5_74,refute_5_75]) ).
cnf(refute_5_77,plain,
( op(e1,e0) = e1
| unit = e2 ),
inference(resolve,[$cnf( $equal(op(e1,unit),e1) )],[refute_5_27,refute_5_76]) ).
cnf(refute_5_78,plain,
( op(e0,e1) != e1
| op(e1,e0) != e1
| op(e0,e1) = op(e1,e0) ),
introduced(tautology,[equality,[$cnf( ~ $equal(op(e0,e1),op(e1,e0)) ),[1],$fot(e1)]]) ).
cnf(refute_5_79,plain,
( op(e0,e1) != e1
| op(e0,e1) = op(e1,e0)
| unit = e2 ),
inference(resolve,[$cnf( $equal(op(e1,e0),e1) )],[refute_5_77,refute_5_78]) ).
cnf(refute_5_80,plain,
( op(e0,e1) != e1
| unit = e2 ),
inference(resolve,[$cnf( $equal(op(e0,e1),op(e1,e0)) )],[refute_5_79,refute_5_26]) ).
cnf(refute_5_81,plain,
op(unit,e1) = e1,
inference(canonicalize,[],[normalize_5_24]) ).
cnf(refute_5_82,plain,
( op(unit,e1) != e1
| unit != e0
| op(e0,e1) = e1 ),
introduced(tautology,[equality,[$cnf( $equal(op(unit,e1),e1) ),[0,0],$fot(e0)]]) ).
cnf(refute_5_83,plain,
( op(unit,e1) != e1
| op(e0,e1) = e1
| unit = e2 ),
inference(resolve,[$cnf( $equal(unit,e0) )],[refute_5_74,refute_5_82]) ).
cnf(refute_5_84,plain,
( op(e0,e1) = e1
| unit = e2 ),
inference(resolve,[$cnf( $equal(op(unit,e1),e1) )],[refute_5_81,refute_5_83]) ).
cnf(refute_5_85,plain,
( e1 != e1
| op(e0,e1) != e1
| op(e0,e1) = e1 ),
introduced(tautology,[equality,[$cnf( $equal(op(e0,e1),e1) ),[0,1],$fot(e1)]]) ).
cnf(refute_5_86,plain,
( e1 != e1
| op(e0,e1) = e1
| unit = e2 ),
inference(resolve,[$cnf( $equal(op(e0,e1),e1) )],[refute_5_84,refute_5_85]) ).
cnf(refute_5_87,plain,
( e1 != e1
| unit = e2 ),
inference(resolve,[$cnf( $equal(op(e0,e1),e1) )],[refute_5_86,refute_5_80]) ).
cnf(refute_5_88,plain,
e1 = e1,
introduced(tautology,[refl,[$fot(e1)]]) ).
cnf(refute_5_89,plain,
unit = e2,
inference(resolve,[$cnf( $equal(e1,e1) )],[refute_5_88,refute_5_87]) ).
cnf(refute_5_90,plain,
op(e0,unit) = op(e0,unit),
introduced(tautology,[refl,[$fot(op(e0,unit))]]) ).
cnf(refute_5_91,plain,
( op(e0,unit) != op(e0,unit)
| unit != e2
| op(e0,unit) = op(e0,e2) ),
introduced(tautology,[equality,[$cnf( $equal(op(e0,unit),op(e0,unit)) ),[1,1],$fot(e2)]]) ).
cnf(refute_5_92,plain,
( unit != e2
| op(e0,unit) = op(e0,e2) ),
inference(resolve,[$cnf( $equal(op(e0,unit),op(e0,unit)) )],[refute_5_90,refute_5_91]) ).
cnf(refute_5_93,plain,
op(e0,unit) = op(e0,e2),
inference(resolve,[$cnf( $equal(unit,e2) )],[refute_5_89,refute_5_92]) ).
cnf(refute_5_94,plain,
( op(e0,unit) != e0
| op(e0,unit) != op(e0,e2)
| op(e0,e2) = e0 ),
introduced(tautology,[equality,[$cnf( $equal(op(e0,unit),e0) ),[0],$fot(op(e0,e2))]]) ).
cnf(refute_5_95,plain,
( op(e0,unit) != e0
| op(e0,e2) = e0 ),
inference(resolve,[$cnf( $equal(op(e0,unit),op(e0,e2)) )],[refute_5_93,refute_5_94]) ).
cnf(refute_5_96,plain,
op(e0,e2) = e0,
inference(resolve,[$cnf( $equal(op(e0,unit),e0) )],[refute_5_25,refute_5_95]) ).
cnf(refute_5_97,plain,
( op(e0,e1) != e0
| op(e0,e2) != e0
| op(e0,e1) = op(e0,e2) ),
introduced(tautology,[equality,[$cnf( ~ $equal(op(e0,e1),op(e0,e2)) ),[1],$fot(e0)]]) ).
cnf(refute_5_98,plain,
( op(e0,e1) != e0
| op(e0,e1) = op(e0,e2) ),
inference(resolve,[$cnf( $equal(op(e0,e2),e0) )],[refute_5_96,refute_5_97]) ).
cnf(refute_5_99,plain,
op(e0,e1) != e0,
inference(resolve,[$cnf( $equal(op(e0,e1),op(e0,e2)) )],[refute_5_98,refute_5_24]) ).
cnf(refute_5_100,plain,
( op(e0,e1) = e1
| op(e0,e1) = e2
| op(e0,e1) = e4 ),
inference(resolve,[$cnf( $equal(op(e0,e1),e0) )],[refute_5_23,refute_5_99]) ).
cnf(refute_5_101,plain,
op(e0,e1) != op(e2,e1),
inference(canonicalize,[],[normalize_5_25]) ).
cnf(refute_5_102,plain,
op(unit,e1) = op(unit,e1),
introduced(tautology,[refl,[$fot(op(unit,e1))]]) ).
cnf(refute_5_103,plain,
( op(unit,e1) != op(unit,e1)
| unit != e2
| op(unit,e1) = op(e2,e1) ),
introduced(tautology,[equality,[$cnf( $equal(op(unit,e1),op(unit,e1)) ),[1,0],$fot(e2)]]) ).
cnf(refute_5_104,plain,
( unit != e2
| op(unit,e1) = op(e2,e1) ),
inference(resolve,[$cnf( $equal(op(unit,e1),op(unit,e1)) )],[refute_5_102,refute_5_103]) ).
cnf(refute_5_105,plain,
op(unit,e1) = op(e2,e1),
inference(resolve,[$cnf( $equal(unit,e2) )],[refute_5_89,refute_5_104]) ).
cnf(refute_5_106,plain,
( op(unit,e1) != e1
| op(unit,e1) != op(e2,e1)
| op(e2,e1) = e1 ),
introduced(tautology,[equality,[$cnf( $equal(op(unit,e1),e1) ),[0],$fot(op(e2,e1))]]) ).
cnf(refute_5_107,plain,
( op(unit,e1) != e1
| op(e2,e1) = e1 ),
inference(resolve,[$cnf( $equal(op(unit,e1),op(e2,e1)) )],[refute_5_105,refute_5_106]) ).
cnf(refute_5_108,plain,
op(e2,e1) = e1,
inference(resolve,[$cnf( $equal(op(unit,e1),e1) )],[refute_5_81,refute_5_107]) ).
cnf(refute_5_109,plain,
( op(e0,e1) != e1
| op(e2,e1) != e1
| op(e0,e1) = op(e2,e1) ),
introduced(tautology,[equality,[$cnf( ~ $equal(op(e0,e1),op(e2,e1)) ),[1],$fot(e1)]]) ).
cnf(refute_5_110,plain,
( op(e0,e1) != e1
| op(e0,e1) = op(e2,e1) ),
inference(resolve,[$cnf( $equal(op(e2,e1),e1) )],[refute_5_108,refute_5_109]) ).
cnf(refute_5_111,plain,
op(e0,e1) != e1,
inference(resolve,[$cnf( $equal(op(e0,e1),op(e2,e1)) )],[refute_5_110,refute_5_101]) ).
cnf(refute_5_112,plain,
( op(e0,e1) = e2
| op(e0,e1) = e4 ),
inference(resolve,[$cnf( $equal(op(e0,e1),e1) )],[refute_5_100,refute_5_111]) ).
cnf(refute_5_113,plain,
( e4 != op(e3,e1)
| op(e0,e1) != e4
| op(e0,e1) = op(e3,e1) ),
introduced(tautology,[equality,[$cnf( $equal(op(e0,e1),e4) ),[1],$fot(op(e3,e1))]]) ).
cnf(refute_5_114,plain,
( e4 != op(e3,e1)
| op(e0,e1) = e2
| op(e0,e1) = op(e3,e1) ),
inference(resolve,[$cnf( $equal(op(e0,e1),e4) )],[refute_5_112,refute_5_113]) ).
cnf(refute_5_115,plain,
( e4 != op(e3,e1)
| op(e0,e1) = e2 ),
inference(resolve,[$cnf( $equal(op(e0,e1),op(e3,e1)) )],[refute_5_114,refute_5_1]) ).
cnf(refute_5_116,plain,
( op(e3,e1) = e0
| op(e3,e1) = e1
| op(e3,e1) = e2
| op(e3,e1) = e3
| op(e3,e1) = e4 ),
inference(canonicalize,[],[normalize_5_26]) ).
cnf(refute_5_117,plain,
( op(e3,e1) = e0
| op(e3,e1) = e1
| op(e3,e1) = e2
| op(e3,e1) = e4 ),
inference(resolve,[$cnf( $equal(op(e3,e1),e3) )],[refute_5_116,refute_5_38]) ).
cnf(refute_5_118,plain,
op(op(e1,e0),e1) != e0,
inference(canonicalize,[],[normalize_5_27]) ).
cnf(refute_5_119,plain,
( op(e1,e0) = e3
| op(e1,e1) = e3
| op(e1,e2) = e3
| op(e1,e3) = e3
| op(e1,e4) = e3 ),
inference(canonicalize,[],[normalize_5_29]) ).
cnf(refute_5_120,plain,
op(e1,e1) != op(e4,e1),
inference(canonicalize,[],[normalize_5_30]) ).
cnf(refute_5_121,plain,
( op(e1,e1) != e3
| op(e4,e1) != e3
| op(e1,e1) = op(e4,e1) ),
introduced(tautology,[equality,[$cnf( ~ $equal(op(e1,e1),op(e4,e1)) ),[1],$fot(e3)]]) ).
cnf(refute_5_122,plain,
( op(e1,e1) != e3
| op(e1,e1) = op(e4,e1) ),
inference(resolve,[$cnf( $equal(op(e4,e1),e3) )],[refute_5_19,refute_5_121]) ).
cnf(refute_5_123,plain,
op(e1,e1) != e3,
inference(resolve,[$cnf( $equal(op(e1,e1),op(e4,e1)) )],[refute_5_122,refute_5_120]) ).
cnf(refute_5_124,plain,
( op(e1,e0) = e3
| op(e1,e2) = e3
| op(e1,e3) = e3
| op(e1,e4) = e3 ),
inference(resolve,[$cnf( $equal(op(e1,e1),e3) )],[refute_5_119,refute_5_123]) ).
cnf(refute_5_125,plain,
e0 = op(op(e4,e4),e4),
inference(canonicalize,[],[normalize_5_31]) ).
cnf(refute_5_126,plain,
op(op(e4,e4),e4) = op(op(e4,e4),e4),
introduced(tautology,[refl,[$fot(op(op(e4,e4),e4))]]) ).
cnf(refute_5_127,plain,
( op(e4,e4) != e1
| op(op(e4,e4),e4) != op(op(e4,e4),e4)
| op(op(e4,e4),e4) = op(e1,e4) ),
introduced(tautology,[equality,[$cnf( $equal(op(op(e4,e4),e4),op(op(e4,e4),e4)) ),[1,0],$fot(e1)]]) ).
cnf(refute_5_128,plain,
( op(e4,e4) != e1
| op(op(e4,e4),e4) = op(e1,e4) ),
inference(resolve,[$cnf( $equal(op(op(e4,e4),e4),op(op(e4,e4),e4)) )],[refute_5_126,refute_5_127]) ).
cnf(refute_5_129,plain,
op(op(e4,e4),e4) = op(e1,e4),
inference(resolve,[$cnf( $equal(op(e4,e4),e1) )],[refute_5_10,refute_5_128]) ).
cnf(refute_5_130,plain,
( e0 != op(op(e4,e4),e4)
| op(op(e4,e4),e4) != op(e1,e4)
| e0 = op(e1,e4) ),
introduced(tautology,[equality,[$cnf( ~ $equal(e0,op(e1,e4)) ),[0],$fot(op(op(e4,e4),e4))]]) ).
cnf(refute_5_131,plain,
( e0 != op(op(e4,e4),e4)
| e0 = op(e1,e4) ),
inference(resolve,[$cnf( $equal(op(op(e4,e4),e4),op(e1,e4)) )],[refute_5_129,refute_5_130]) ).
cnf(refute_5_132,plain,
e0 = op(e1,e4),
inference(resolve,[$cnf( $equal(e0,op(op(e4,e4),e4)) )],[refute_5_125,refute_5_131]) ).
cnf(refute_5_133,plain,
( e0 != op(e1,e4)
| op(e1,e4) = e0 ),
inference(subst,[],[refute_5_8:[bind(X,$fot(e0)),bind(Y,$fot(op(e1,e4)))]]) ).
cnf(refute_5_134,plain,
op(e1,e4) = e0,
inference(resolve,[$cnf( $equal(e0,op(e1,e4)) )],[refute_5_132,refute_5_133]) ).
cnf(refute_5_135,plain,
( op(e1,e4) != e0
| op(e1,e4) != e3
| e0 = e3 ),
introduced(tautology,[equality,[$cnf( $equal(op(e1,e4),e3) ),[0],$fot(e0)]]) ).
cnf(refute_5_136,plain,
( op(e1,e4) != e3
| e0 = e3 ),
inference(resolve,[$cnf( $equal(op(e1,e4),e0) )],[refute_5_134,refute_5_135]) ).
cnf(refute_5_137,plain,
( e0 = e3
| op(e1,e0) = e3
| op(e1,e2) = e3
| op(e1,e3) = e3 ),
inference(resolve,[$cnf( $equal(op(e1,e4),e3) )],[refute_5_124,refute_5_136]) ).
cnf(refute_5_138,plain,
e0 != e3,
inference(canonicalize,[],[normalize_5_32]) ).
cnf(refute_5_139,plain,
( op(e1,e0) = e3
| op(e1,e2) = e3
| op(e1,e3) = e3 ),
inference(resolve,[$cnf( $equal(e0,e3) )],[refute_5_137,refute_5_138]) ).
cnf(refute_5_140,plain,
op(e1,unit) = op(e1,unit),
introduced(tautology,[refl,[$fot(op(e1,unit))]]) ).
cnf(refute_5_141,plain,
( op(e1,unit) != op(e1,unit)
| unit != e2
| op(e1,unit) = op(e1,e2) ),
introduced(tautology,[equality,[$cnf( $equal(op(e1,unit),op(e1,unit)) ),[1,1],$fot(e2)]]) ).
cnf(refute_5_142,plain,
( unit != e2
| op(e1,unit) = op(e1,e2) ),
inference(resolve,[$cnf( $equal(op(e1,unit),op(e1,unit)) )],[refute_5_140,refute_5_141]) ).
cnf(refute_5_143,plain,
op(e1,unit) = op(e1,e2),
inference(resolve,[$cnf( $equal(unit,e2) )],[refute_5_89,refute_5_142]) ).
cnf(refute_5_144,plain,
( op(e1,unit) != e1
| op(e1,unit) != op(e1,e2)
| op(e1,e2) = e1 ),
introduced(tautology,[equality,[$cnf( $equal(op(e1,unit),e1) ),[0],$fot(op(e1,e2))]]) ).
cnf(refute_5_145,plain,
( op(e1,unit) != e1
| op(e1,e2) = e1 ),
inference(resolve,[$cnf( $equal(op(e1,unit),op(e1,e2)) )],[refute_5_143,refute_5_144]) ).
cnf(refute_5_146,plain,
op(e1,e2) = e1,
inference(resolve,[$cnf( $equal(op(e1,unit),e1) )],[refute_5_27,refute_5_145]) ).
cnf(refute_5_147,plain,
( op(e1,e2) != e1
| op(e1,e2) != e3
| e1 = e3 ),
introduced(tautology,[equality,[$cnf( $equal(op(e1,e2),e3) ),[0],$fot(e1)]]) ).
cnf(refute_5_148,plain,
( op(e1,e2) != e3
| e1 = e3 ),
inference(resolve,[$cnf( $equal(op(e1,e2),e1) )],[refute_5_146,refute_5_147]) ).
cnf(refute_5_149,plain,
( e1 = e3
| op(e1,e0) = e3
| op(e1,e3) = e3 ),
inference(resolve,[$cnf( $equal(op(e1,e2),e3) )],[refute_5_139,refute_5_148]) ).
cnf(refute_5_150,plain,
op(e4,e1) != op(e4,e4),
inference(canonicalize,[],[normalize_5_33]) ).
cnf(refute_5_151,plain,
( e3 != op(e4,e4)
| op(e4,e1) != e3
| op(e4,e1) = op(e4,e4) ),
introduced(tautology,[equality,[$cnf( $equal(op(e4,e1),e3) ),[1],$fot(op(e4,e4))]]) ).
cnf(refute_5_152,plain,
( e3 != op(e4,e4)
| op(e4,e1) = op(e4,e4) ),
inference(resolve,[$cnf( $equal(op(e4,e1),e3) )],[refute_5_19,refute_5_151]) ).
cnf(refute_5_153,plain,
( e3 != e1
| op(e4,e4) != e1
| e3 = op(e4,e4) ),
introduced(tautology,[equality,[$cnf( ~ $equal(e3,op(e4,e4)) ),[1],$fot(e1)]]) ).
cnf(refute_5_154,plain,
( e3 != e1
| e3 = op(e4,e4) ),
inference(resolve,[$cnf( $equal(op(e4,e4),e1) )],[refute_5_10,refute_5_153]) ).
cnf(refute_5_155,plain,
( e3 != e1
| op(e4,e1) = op(e4,e4) ),
inference(resolve,[$cnf( $equal(e3,op(e4,e4)) )],[refute_5_154,refute_5_152]) ).
cnf(refute_5_156,plain,
e3 != e1,
inference(resolve,[$cnf( $equal(op(e4,e1),op(e4,e4)) )],[refute_5_155,refute_5_150]) ).
cnf(refute_5_157,plain,
( e1 != e3
| e3 = e1 ),
inference(subst,[],[refute_5_8:[bind(X,$fot(e1)),bind(Y,$fot(e3))]]) ).
cnf(refute_5_158,plain,
e1 != e3,
inference(resolve,[$cnf( $equal(e3,e1) )],[refute_5_157,refute_5_156]) ).
cnf(refute_5_159,plain,
( op(e1,e0) = e3
| op(e1,e3) = e3 ),
inference(resolve,[$cnf( $equal(e1,e3) )],[refute_5_149,refute_5_158]) ).
cnf(refute_5_160,plain,
op(e1,e3) != op(e2,e3),
inference(canonicalize,[],[normalize_5_34]) ).
cnf(refute_5_161,plain,
op(unit,e3) = op(unit,e3),
introduced(tautology,[refl,[$fot(op(unit,e3))]]) ).
cnf(refute_5_162,plain,
( op(unit,e3) != op(unit,e3)
| unit != e2
| op(unit,e3) = op(e2,e3) ),
introduced(tautology,[equality,[$cnf( $equal(op(unit,e3),op(unit,e3)) ),[1,0],$fot(e2)]]) ).
cnf(refute_5_163,plain,
( unit != e2
| op(unit,e3) = op(e2,e3) ),
inference(resolve,[$cnf( $equal(op(unit,e3),op(unit,e3)) )],[refute_5_161,refute_5_162]) ).
cnf(refute_5_164,plain,
op(unit,e3) = op(e2,e3),
inference(resolve,[$cnf( $equal(unit,e2) )],[refute_5_89,refute_5_163]) ).
cnf(refute_5_165,plain,
( op(unit,e3) != e3
| op(unit,e3) != op(e2,e3)
| op(e2,e3) = e3 ),
introduced(tautology,[equality,[$cnf( $equal(op(unit,e3),e3) ),[0],$fot(op(e2,e3))]]) ).
cnf(refute_5_166,plain,
( op(unit,e3) != e3
| op(e2,e3) = e3 ),
inference(resolve,[$cnf( $equal(op(unit,e3),op(e2,e3)) )],[refute_5_164,refute_5_165]) ).
cnf(refute_5_167,plain,
op(e2,e3) = e3,
inference(resolve,[$cnf( $equal(op(unit,e3),e3) )],[refute_5_28,refute_5_166]) ).
cnf(refute_5_168,plain,
( op(e1,e3) != e3
| op(e2,e3) != e3
| op(e1,e3) = op(e2,e3) ),
introduced(tautology,[equality,[$cnf( ~ $equal(op(e1,e3),op(e2,e3)) ),[1],$fot(e3)]]) ).
cnf(refute_5_169,plain,
( op(e1,e3) != e3
| op(e1,e3) = op(e2,e3) ),
inference(resolve,[$cnf( $equal(op(e2,e3),e3) )],[refute_5_167,refute_5_168]) ).
cnf(refute_5_170,plain,
op(e1,e3) != e3,
inference(resolve,[$cnf( $equal(op(e1,e3),op(e2,e3)) )],[refute_5_169,refute_5_160]) ).
cnf(refute_5_171,plain,
op(e1,e0) = e3,
inference(resolve,[$cnf( $equal(op(e1,e3),e3) )],[refute_5_159,refute_5_170]) ).
cnf(refute_5_172,plain,
op(op(e1,e0),e1) = op(op(e1,e0),e1),
introduced(tautology,[refl,[$fot(op(op(e1,e0),e1))]]) ).
cnf(refute_5_173,plain,
( op(e1,e0) != e3
| op(op(e1,e0),e1) != op(op(e1,e0),e1)
| op(op(e1,e0),e1) = op(e3,e1) ),
introduced(tautology,[equality,[$cnf( $equal(op(op(e1,e0),e1),op(op(e1,e0),e1)) ),[1,0],$fot(e3)]]) ).
cnf(refute_5_174,plain,
( op(e1,e0) != e3
| op(op(e1,e0),e1) = op(e3,e1) ),
inference(resolve,[$cnf( $equal(op(op(e1,e0),e1),op(op(e1,e0),e1)) )],[refute_5_172,refute_5_173]) ).
cnf(refute_5_175,plain,
op(op(e1,e0),e1) = op(e3,e1),
inference(resolve,[$cnf( $equal(op(e1,e0),e3) )],[refute_5_171,refute_5_174]) ).
cnf(refute_5_176,plain,
( op(e3,e1) != e0
| op(op(e1,e0),e1) != op(e3,e1)
| op(op(e1,e0),e1) = e0 ),
introduced(tautology,[equality,[$cnf( $equal(op(op(e1,e0),e1),op(e3,e1)) ),[1],$fot(e0)]]) ).
cnf(refute_5_177,plain,
( op(e3,e1) != e0
| op(op(e1,e0),e1) = e0 ),
inference(resolve,[$cnf( $equal(op(op(e1,e0),e1),op(e3,e1)) )],[refute_5_175,refute_5_176]) ).
cnf(refute_5_178,plain,
op(e3,e1) != e0,
inference(resolve,[$cnf( $equal(op(op(e1,e0),e1),e0) )],[refute_5_177,refute_5_118]) ).
cnf(refute_5_179,plain,
( op(e3,e1) = e1
| op(e3,e1) = e2
| op(e3,e1) = e4 ),
inference(resolve,[$cnf( $equal(op(e3,e1),e0) )],[refute_5_117,refute_5_178]) ).
cnf(refute_5_180,plain,
op(e3,e0) != op(e3,e1),
inference(canonicalize,[],[normalize_5_35]) ).
cnf(refute_5_181,plain,
op(op(e1,e0),e0) = e1,
inference(canonicalize,[],[normalize_5_36]) ).
cnf(refute_5_182,plain,
op(op(e1,e0),e0) = op(op(e1,e0),e0),
introduced(tautology,[refl,[$fot(op(op(e1,e0),e0))]]) ).
cnf(refute_5_183,plain,
( op(e1,e0) != e3
| op(op(e1,e0),e0) != op(op(e1,e0),e0)
| op(op(e1,e0),e0) = op(e3,e0) ),
introduced(tautology,[equality,[$cnf( $equal(op(op(e1,e0),e0),op(op(e1,e0),e0)) ),[1,0],$fot(e3)]]) ).
cnf(refute_5_184,plain,
( op(e1,e0) != e3
| op(op(e1,e0),e0) = op(e3,e0) ),
inference(resolve,[$cnf( $equal(op(op(e1,e0),e0),op(op(e1,e0),e0)) )],[refute_5_182,refute_5_183]) ).
cnf(refute_5_185,plain,
op(op(e1,e0),e0) = op(e3,e0),
inference(resolve,[$cnf( $equal(op(e1,e0),e3) )],[refute_5_171,refute_5_184]) ).
cnf(refute_5_186,plain,
( op(op(e1,e0),e0) != e1
| op(op(e1,e0),e0) != op(e3,e0)
| op(e3,e0) = e1 ),
introduced(tautology,[equality,[$cnf( $equal(op(op(e1,e0),e0),e1) ),[0],$fot(op(e3,e0))]]) ).
cnf(refute_5_187,plain,
( op(op(e1,e0),e0) != e1
| op(e3,e0) = e1 ),
inference(resolve,[$cnf( $equal(op(op(e1,e0),e0),op(e3,e0)) )],[refute_5_185,refute_5_186]) ).
cnf(refute_5_188,plain,
op(e3,e0) = e1,
inference(resolve,[$cnf( $equal(op(op(e1,e0),e0),e1) )],[refute_5_181,refute_5_187]) ).
cnf(refute_5_189,plain,
( e1 != op(e3,e1)
| op(e3,e0) != e1
| op(e3,e0) = op(e3,e1) ),
introduced(tautology,[equality,[$cnf( $equal(op(e3,e0),e1) ),[1],$fot(op(e3,e1))]]) ).
cnf(refute_5_190,plain,
( e1 != op(e3,e1)
| op(e3,e0) = op(e3,e1) ),
inference(resolve,[$cnf( $equal(op(e3,e0),e1) )],[refute_5_188,refute_5_189]) ).
cnf(refute_5_191,plain,
e1 != op(e3,e1),
inference(resolve,[$cnf( $equal(op(e3,e0),op(e3,e1)) )],[refute_5_190,refute_5_180]) ).
cnf(refute_5_192,plain,
( op(e3,e1) != e1
| e1 = op(e3,e1) ),
inference(subst,[],[refute_5_8:[bind(X,$fot(op(e3,e1))),bind(Y,$fot(e1))]]) ).
cnf(refute_5_193,plain,
op(e3,e1) != e1,
inference(resolve,[$cnf( $equal(e1,op(e3,e1)) )],[refute_5_192,refute_5_191]) ).
cnf(refute_5_194,plain,
( op(e3,e1) = e2
| op(e3,e1) = e4 ),
inference(resolve,[$cnf( $equal(op(e3,e1),e1) )],[refute_5_179,refute_5_193]) ).
cnf(refute_5_195,plain,
op(e3,e1) != op(e3,e4),
inference(canonicalize,[],[normalize_5_37]) ).
cnf(refute_5_196,plain,
( op(e3,e1) != e2
| op(e3,e4) != e2
| op(e3,e1) = op(e3,e4) ),
introduced(tautology,[equality,[$cnf( ~ $equal(op(e3,e1),op(e3,e4)) ),[1],$fot(e2)]]) ).
cnf(refute_5_197,plain,
( op(e3,e1) != e2
| op(e3,e1) = op(e3,e4) ),
inference(resolve,[$cnf( $equal(op(e3,e4),e2) )],[refute_5_59,refute_5_196]) ).
cnf(refute_5_198,plain,
op(e3,e1) != e2,
inference(resolve,[$cnf( $equal(op(e3,e1),op(e3,e4)) )],[refute_5_197,refute_5_195]) ).
cnf(refute_5_199,plain,
op(e3,e1) = e4,
inference(resolve,[$cnf( $equal(op(e3,e1),e2) )],[refute_5_194,refute_5_198]) ).
cnf(refute_5_200,plain,
( e4 != e4
| op(e3,e1) != e4
| e4 = op(e3,e1) ),
introduced(tautology,[equality,[$cnf( ~ $equal(e4,op(e3,e1)) ),[1],$fot(e4)]]) ).
cnf(refute_5_201,plain,
( e4 != e4
| e4 = op(e3,e1) ),
inference(resolve,[$cnf( $equal(op(e3,e1),e4) )],[refute_5_199,refute_5_200]) ).
cnf(refute_5_202,plain,
( e4 != e4
| op(e0,e1) = e2 ),
inference(resolve,[$cnf( $equal(e4,op(e3,e1)) )],[refute_5_201,refute_5_115]) ).
cnf(refute_5_203,plain,
e4 = e4,
introduced(tautology,[refl,[$fot(e4)]]) ).
cnf(refute_5_204,plain,
op(e0,e1) = e2,
inference(resolve,[$cnf( $equal(e4,e4) )],[refute_5_203,refute_5_202]) ).
cnf(refute_5_205,plain,
( e2 != op(e0,e3)
| op(e0,e1) != e2
| op(e0,e1) = op(e0,e3) ),
introduced(tautology,[equality,[$cnf( $equal(op(e0,e1),e2) ),[1],$fot(op(e0,e3))]]) ).
cnf(refute_5_206,plain,
( e2 != op(e0,e3)
| op(e0,e1) = op(e0,e3) ),
inference(resolve,[$cnf( $equal(op(e0,e1),e2) )],[refute_5_204,refute_5_205]) ).
cnf(refute_5_207,plain,
op(e1,e1) != op(e3,e1),
inference(canonicalize,[],[normalize_5_38]) ).
cnf(refute_5_208,plain,
op(e1,e1) != op(e1,e3),
inference(canonicalize,[],[normalize_5_39]) ).
cnf(refute_5_209,plain,
( op(e1,e3) = e0
| op(e1,e3) = e1
| op(e1,e3) = e2
| op(e1,e3) = e3
| op(e1,e3) = e4 ),
inference(canonicalize,[],[normalize_5_40]) ).
cnf(refute_5_210,plain,
op(e1,e3) != op(e1,e4),
inference(canonicalize,[],[normalize_5_41]) ).
cnf(refute_5_211,plain,
( op(e1,e3) != e0
| op(e1,e4) != e0
| op(e1,e3) = op(e1,e4) ),
introduced(tautology,[equality,[$cnf( ~ $equal(op(e1,e3),op(e1,e4)) ),[1],$fot(e0)]]) ).
cnf(refute_5_212,plain,
( op(e1,e3) != e0
| op(e1,e3) = op(e1,e4) ),
inference(resolve,[$cnf( $equal(op(e1,e4),e0) )],[refute_5_134,refute_5_211]) ).
cnf(refute_5_213,plain,
op(e1,e3) != e0,
inference(resolve,[$cnf( $equal(op(e1,e3),op(e1,e4)) )],[refute_5_212,refute_5_210]) ).
cnf(refute_5_214,plain,
( op(e1,e3) = e1
| op(e1,e3) = e2
| op(e1,e3) = e3
| op(e1,e3) = e4 ),
inference(resolve,[$cnf( $equal(op(e1,e3),e0) )],[refute_5_209,refute_5_213]) ).
cnf(refute_5_215,plain,
op(e1,e2) != op(e1,e3),
inference(canonicalize,[],[normalize_5_42]) ).
cnf(refute_5_216,plain,
( e1 != op(e1,e3)
| op(e1,e2) != e1
| op(e1,e2) = op(e1,e3) ),
introduced(tautology,[equality,[$cnf( $equal(op(e1,e2),e1) ),[1],$fot(op(e1,e3))]]) ).
cnf(refute_5_217,plain,
( e1 != op(e1,e3)
| op(e1,e2) = op(e1,e3) ),
inference(resolve,[$cnf( $equal(op(e1,e2),e1) )],[refute_5_146,refute_5_216]) ).
cnf(refute_5_218,plain,
e1 != op(e1,e3),
inference(resolve,[$cnf( $equal(op(e1,e2),op(e1,e3)) )],[refute_5_217,refute_5_215]) ).
cnf(refute_5_219,plain,
( op(e1,e3) != e1
| e1 = op(e1,e3) ),
inference(subst,[],[refute_5_8:[bind(X,$fot(op(e1,e3))),bind(Y,$fot(e1))]]) ).
cnf(refute_5_220,plain,
op(e1,e3) != e1,
inference(resolve,[$cnf( $equal(e1,op(e1,e3)) )],[refute_5_219,refute_5_218]) ).
cnf(refute_5_221,plain,
( op(e1,e3) = e2
| op(e1,e3) = e3
| op(e1,e3) = e4 ),
inference(resolve,[$cnf( $equal(op(e1,e3),e1) )],[refute_5_214,refute_5_220]) ).
cnf(refute_5_222,plain,
( op(e1,e3) = e2
| op(e1,e3) = e4 ),
inference(resolve,[$cnf( $equal(op(e1,e3),e3) )],[refute_5_221,refute_5_170]) ).
cnf(refute_5_223,plain,
( op(e1,e1) != e2
| op(e1,e3) != e2
| op(e1,e1) = op(e1,e3) ),
introduced(tautology,[equality,[$cnf( ~ $equal(op(e1,e1),op(e1,e3)) ),[1],$fot(e2)]]) ).
cnf(refute_5_224,plain,
( op(e1,e1) != e2
| op(e1,e1) = op(e1,e3)
| op(e1,e3) = e4 ),
inference(resolve,[$cnf( $equal(op(e1,e3),e2) )],[refute_5_222,refute_5_223]) ).
cnf(refute_5_225,plain,
( op(e1,e1) != e2
| op(e1,e3) = e4 ),
inference(resolve,[$cnf( $equal(op(e1,e1),op(e1,e3)) )],[refute_5_224,refute_5_208]) ).
cnf(refute_5_226,plain,
op(e1,e1) != op(e1,e2),
inference(canonicalize,[],[normalize_5_43]) ).
cnf(refute_5_227,plain,
( op(e1,e1) != e1
| op(e1,e2) != e1
| op(e1,e1) = op(e1,e2) ),
introduced(tautology,[equality,[$cnf( ~ $equal(op(e1,e1),op(e1,e2)) ),[1],$fot(e1)]]) ).
cnf(refute_5_228,plain,
( op(e1,e1) != e1
| op(e1,e1) = op(e1,e2) ),
inference(resolve,[$cnf( $equal(op(e1,e2),e1) )],[refute_5_146,refute_5_227]) ).
cnf(refute_5_229,plain,
op(e1,e1) != e1,
inference(resolve,[$cnf( $equal(op(e1,e1),op(e1,e2)) )],[refute_5_228,refute_5_226]) ).
cnf(refute_5_230,plain,
( op(e1,e1) = e0
| op(e1,e1) = e1
| op(e1,e1) = e2
| op(e1,e1) = e3
| op(e1,e1) = e4 ),
inference(canonicalize,[],[normalize_5_44]) ).
cnf(refute_5_231,plain,
( op(e1,e1) = e0
| op(e1,e1) = e1
| op(e1,e1) = e2
| op(e1,e1) = e4 ),
inference(resolve,[$cnf( $equal(op(e1,e1),e3) )],[refute_5_230,refute_5_123]) ).
cnf(refute_5_232,plain,
op(e1,e1) != op(e1,e4),
inference(canonicalize,[],[normalize_5_45]) ).
cnf(refute_5_233,plain,
( op(e1,e1) != e0
| op(e1,e4) != e0
| op(e1,e1) = op(e1,e4) ),
introduced(tautology,[equality,[$cnf( ~ $equal(op(e1,e1),op(e1,e4)) ),[1],$fot(e0)]]) ).
cnf(refute_5_234,plain,
( op(e1,e1) != e0
| op(e1,e1) = op(e1,e4) ),
inference(resolve,[$cnf( $equal(op(e1,e4),e0) )],[refute_5_134,refute_5_233]) ).
cnf(refute_5_235,plain,
op(e1,e1) != e0,
inference(resolve,[$cnf( $equal(op(e1,e1),op(e1,e4)) )],[refute_5_234,refute_5_232]) ).
cnf(refute_5_236,plain,
( op(e1,e1) = e1
| op(e1,e1) = e2
| op(e1,e1) = e4 ),
inference(resolve,[$cnf( $equal(op(e1,e1),e0) )],[refute_5_231,refute_5_235]) ).
cnf(refute_5_237,plain,
( e1 != e1
| op(e1,e1) != e1
| op(e1,e1) = e1 ),
introduced(tautology,[equality,[$cnf( $equal(op(e1,e1),e1) ),[0,0],$fot(e1)]]) ).
cnf(refute_5_238,plain,
( e1 != e1
| op(e1,e1) = e1
| op(e1,e1) = e2
| op(e1,e1) = e4 ),
inference(resolve,[$cnf( $equal(op(e1,e1),e1) )],[refute_5_236,refute_5_237]) ).
cnf(refute_5_239,plain,
( e1 != e1
| op(e1,e1) = e2
| op(e1,e1) = e4 ),
inference(resolve,[$cnf( $equal(op(e1,e1),e1) )],[refute_5_238,refute_5_229]) ).
cnf(refute_5_240,plain,
( op(e1,e1) = e2
| op(e1,e1) = e4 ),
inference(resolve,[$cnf( $equal(e1,e1) )],[refute_5_88,refute_5_239]) ).
cnf(refute_5_241,plain,
( e2 != e2
| op(e1,e1) != e2
| op(e1,e1) = e2 ),
introduced(tautology,[equality,[$cnf( $equal(op(e1,e1),e2) ),[1],$fot(e2)]]) ).
cnf(refute_5_242,plain,
( e2 != e2
| op(e1,e1) = e2
| op(e1,e1) = e4 ),
inference(resolve,[$cnf( $equal(op(e1,e1),e2) )],[refute_5_240,refute_5_241]) ).
cnf(refute_5_243,plain,
( e2 != e2
| op(e1,e1) = e4
| op(e1,e3) = e4 ),
inference(resolve,[$cnf( $equal(op(e1,e1),e2) )],[refute_5_242,refute_5_225]) ).
cnf(refute_5_244,plain,
e2 = e2,
introduced(tautology,[refl,[$fot(e2)]]) ).
cnf(refute_5_245,plain,
( op(e1,e1) = e4
| op(e1,e3) = e4 ),
inference(resolve,[$cnf( $equal(e2,e2) )],[refute_5_244,refute_5_243]) ).
cnf(refute_5_246,plain,
( op(e0,e3) = e2
| op(e1,e3) = e2
| op(e2,e3) = e2
| op(e3,e3) = e2
| op(e4,e3) = e2 ),
inference(canonicalize,[],[normalize_5_46]) ).
cnf(refute_5_247,plain,
( op(e2,e3) != e2
| op(e2,e3) != e3
| e3 = e2 ),
introduced(tautology,[equality,[$cnf( $equal(op(e2,e3),e2) ),[0],$fot(e3)]]) ).
cnf(refute_5_248,plain,
( op(e2,e3) != e2
| e3 = e2 ),
inference(resolve,[$cnf( $equal(op(e2,e3),e3) )],[refute_5_167,refute_5_247]) ).
cnf(refute_5_249,plain,
( e3 = e2
| op(e0,e3) = e2
| op(e1,e3) = e2
| op(e3,e3) = e2
| op(e4,e3) = e2 ),
inference(resolve,[$cnf( $equal(op(e2,e3),e2) )],[refute_5_246,refute_5_248]) ).
cnf(refute_5_250,plain,
( op(e4,e0) = e0
| op(e4,e1) = e0
| op(e4,e2) = e0
| op(e4,e3) = e0
| op(e4,e4) = e0 ),
inference(canonicalize,[],[normalize_5_47]) ).
cnf(refute_5_251,plain,
( op(e4,e1) != e0
| op(e4,e1) != e3
| e3 = e0 ),
introduced(tautology,[equality,[$cnf( $equal(op(e4,e1),e0) ),[0],$fot(e3)]]) ).
cnf(refute_5_252,plain,
( op(e4,e1) != e0
| e3 = e0 ),
inference(resolve,[$cnf( $equal(op(e4,e1),e3) )],[refute_5_19,refute_5_251]) ).
cnf(refute_5_253,plain,
( e3 = e0
| op(e4,e0) = e0
| op(e4,e2) = e0
| op(e4,e3) = e0
| op(e4,e4) = e0 ),
inference(resolve,[$cnf( $equal(op(e4,e1),e0) )],[refute_5_250,refute_5_252]) ).
cnf(refute_5_254,plain,
( op(e4,e4) != e0
| op(e4,e4) != e1
| e1 = e0 ),
introduced(tautology,[equality,[$cnf( $equal(op(e4,e4),e0) ),[0],$fot(e1)]]) ).
cnf(refute_5_255,plain,
( op(e4,e4) != e0
| e1 = e0 ),
inference(resolve,[$cnf( $equal(op(e4,e4),e1) )],[refute_5_10,refute_5_254]) ).
cnf(refute_5_256,plain,
( e1 = e0
| e3 = e0
| op(e4,e0) = e0
| op(e4,e2) = e0
| op(e4,e3) = e0 ),
inference(resolve,[$cnf( $equal(op(e4,e4),e0) )],[refute_5_253,refute_5_255]) ).
cnf(refute_5_257,plain,
e0 != e1,
inference(canonicalize,[],[normalize_5_48]) ).
cnf(refute_5_258,plain,
( e1 != e0
| e0 = e1 ),
inference(subst,[],[refute_5_8:[bind(X,$fot(e1)),bind(Y,$fot(e0))]]) ).
cnf(refute_5_259,plain,
e1 != e0,
inference(resolve,[$cnf( $equal(e0,e1) )],[refute_5_258,refute_5_257]) ).
cnf(refute_5_260,plain,
( e3 = e0
| op(e4,e0) = e0
| op(e4,e2) = e0
| op(e4,e3) = e0 ),
inference(resolve,[$cnf( $equal(e1,e0) )],[refute_5_256,refute_5_259]) ).
cnf(refute_5_261,plain,
( e3 != e0
| e0 = e3 ),
inference(subst,[],[refute_5_8:[bind(X,$fot(e3)),bind(Y,$fot(e0))]]) ).
cnf(refute_5_262,plain,
e3 != e0,
inference(resolve,[$cnf( $equal(e0,e3) )],[refute_5_261,refute_5_138]) ).
cnf(refute_5_263,plain,
( op(e4,e0) = e0
| op(e4,e2) = e0
| op(e4,e3) = e0 ),
inference(resolve,[$cnf( $equal(e3,e0) )],[refute_5_260,refute_5_262]) ).
cnf(refute_5_264,plain,
op(e4,unit) = e4,
inference(canonicalize,[],[normalize_5_49]) ).
cnf(refute_5_265,plain,
op(e4,unit) = op(e4,unit),
introduced(tautology,[refl,[$fot(op(e4,unit))]]) ).
cnf(refute_5_266,plain,
( op(e4,unit) != op(e4,unit)
| unit != e2
| op(e4,unit) = op(e4,e2) ),
introduced(tautology,[equality,[$cnf( $equal(op(e4,unit),op(e4,unit)) ),[1,1],$fot(e2)]]) ).
cnf(refute_5_267,plain,
( unit != e2
| op(e4,unit) = op(e4,e2) ),
inference(resolve,[$cnf( $equal(op(e4,unit),op(e4,unit)) )],[refute_5_265,refute_5_266]) ).
cnf(refute_5_268,plain,
op(e4,unit) = op(e4,e2),
inference(resolve,[$cnf( $equal(unit,e2) )],[refute_5_89,refute_5_267]) ).
cnf(refute_5_269,plain,
( op(e4,unit) != e4
| op(e4,unit) != op(e4,e2)
| op(e4,e2) = e4 ),
introduced(tautology,[equality,[$cnf( $equal(op(e4,unit),e4) ),[0],$fot(op(e4,e2))]]) ).
cnf(refute_5_270,plain,
( op(e4,unit) != e4
| op(e4,e2) = e4 ),
inference(resolve,[$cnf( $equal(op(e4,unit),op(e4,e2)) )],[refute_5_268,refute_5_269]) ).
cnf(refute_5_271,plain,
op(e4,e2) = e4,
inference(resolve,[$cnf( $equal(op(e4,unit),e4) )],[refute_5_264,refute_5_270]) ).
cnf(refute_5_272,plain,
( op(e4,e2) != e0
| op(e4,e2) != e4
| e4 = e0 ),
introduced(tautology,[equality,[$cnf( $equal(op(e4,e2),e0) ),[0],$fot(e4)]]) ).
cnf(refute_5_273,plain,
( op(e4,e2) != e0
| e4 = e0 ),
inference(resolve,[$cnf( $equal(op(e4,e2),e4) )],[refute_5_271,refute_5_272]) ).
cnf(refute_5_274,plain,
( e4 = e0
| op(e4,e0) = e0
| op(e4,e3) = e0 ),
inference(resolve,[$cnf( $equal(op(e4,e2),e0) )],[refute_5_263,refute_5_273]) ).
cnf(refute_5_275,plain,
e0 != e4,
inference(canonicalize,[],[normalize_5_50]) ).
cnf(refute_5_276,plain,
( e4 != e0
| e0 = e4 ),
inference(subst,[],[refute_5_8:[bind(X,$fot(e4)),bind(Y,$fot(e0))]]) ).
cnf(refute_5_277,plain,
e4 != e0,
inference(resolve,[$cnf( $equal(e0,e4) )],[refute_5_276,refute_5_275]) ).
cnf(refute_5_278,plain,
( op(e4,e0) = e0
| op(e4,e3) = e0 ),
inference(resolve,[$cnf( $equal(e4,e0) )],[refute_5_274,refute_5_277]) ).
cnf(refute_5_279,plain,
op(e2,e0) != op(e4,e0),
inference(canonicalize,[],[normalize_5_51]) ).
cnf(refute_5_280,plain,
op(unit,e0) = e0,
inference(canonicalize,[],[normalize_5_52]) ).
cnf(refute_5_281,plain,
op(unit,e0) = op(unit,e0),
introduced(tautology,[refl,[$fot(op(unit,e0))]]) ).
cnf(refute_5_282,plain,
( op(unit,e0) != op(unit,e0)
| unit != e2
| op(unit,e0) = op(e2,e0) ),
introduced(tautology,[equality,[$cnf( $equal(op(unit,e0),op(unit,e0)) ),[1,0],$fot(e2)]]) ).
cnf(refute_5_283,plain,
( unit != e2
| op(unit,e0) = op(e2,e0) ),
inference(resolve,[$cnf( $equal(op(unit,e0),op(unit,e0)) )],[refute_5_281,refute_5_282]) ).
cnf(refute_5_284,plain,
op(unit,e0) = op(e2,e0),
inference(resolve,[$cnf( $equal(unit,e2) )],[refute_5_89,refute_5_283]) ).
cnf(refute_5_285,plain,
( op(unit,e0) != e0
| op(unit,e0) != op(e2,e0)
| op(e2,e0) = e0 ),
introduced(tautology,[equality,[$cnf( $equal(op(unit,e0),e0) ),[0],$fot(op(e2,e0))]]) ).
cnf(refute_5_286,plain,
( op(unit,e0) != e0
| op(e2,e0) = e0 ),
inference(resolve,[$cnf( $equal(op(unit,e0),op(e2,e0)) )],[refute_5_284,refute_5_285]) ).
cnf(refute_5_287,plain,
op(e2,e0) = e0,
inference(resolve,[$cnf( $equal(op(unit,e0),e0) )],[refute_5_280,refute_5_286]) ).
cnf(refute_5_288,plain,
( e0 != op(e4,e0)
| op(e2,e0) != e0
| op(e2,e0) = op(e4,e0) ),
introduced(tautology,[equality,[$cnf( $equal(op(e2,e0),e0) ),[1],$fot(op(e4,e0))]]) ).
cnf(refute_5_289,plain,
( e0 != op(e4,e0)
| op(e2,e0) = op(e4,e0) ),
inference(resolve,[$cnf( $equal(op(e2,e0),e0) )],[refute_5_287,refute_5_288]) ).
cnf(refute_5_290,plain,
e0 != op(e4,e0),
inference(resolve,[$cnf( $equal(op(e2,e0),op(e4,e0)) )],[refute_5_289,refute_5_279]) ).
cnf(refute_5_291,plain,
( op(e4,e0) != e0
| e0 = op(e4,e0) ),
inference(subst,[],[refute_5_8:[bind(X,$fot(op(e4,e0))),bind(Y,$fot(e0))]]) ).
cnf(refute_5_292,plain,
op(e4,e0) != e0,
inference(resolve,[$cnf( $equal(e0,op(e4,e0)) )],[refute_5_291,refute_5_290]) ).
cnf(refute_5_293,plain,
op(e4,e3) = e0,
inference(resolve,[$cnf( $equal(op(e4,e0),e0) )],[refute_5_278,refute_5_292]) ).
cnf(refute_5_294,plain,
( op(e4,e3) != e0
| op(e4,e3) != e2
| e0 = e2 ),
introduced(tautology,[equality,[$cnf( $equal(op(e4,e3),e2) ),[0],$fot(e0)]]) ).
cnf(refute_5_295,plain,
( op(e4,e3) != e2
| e0 = e2 ),
inference(resolve,[$cnf( $equal(op(e4,e3),e0) )],[refute_5_293,refute_5_294]) ).
cnf(refute_5_296,plain,
( e0 = e2
| e3 = e2
| op(e0,e3) = e2
| op(e1,e3) = e2
| op(e3,e3) = e2 ),
inference(resolve,[$cnf( $equal(op(e4,e3),e2) )],[refute_5_249,refute_5_295]) ).
cnf(refute_5_297,plain,
e0 != e2,
inference(canonicalize,[],[normalize_5_53]) ).
cnf(refute_5_298,plain,
( e3 = e2
| op(e0,e3) = e2
| op(e1,e3) = e2
| op(e3,e3) = e2 ),
inference(resolve,[$cnf( $equal(e0,e2) )],[refute_5_296,refute_5_297]) ).
cnf(refute_5_299,plain,
e2 != e3,
inference(canonicalize,[],[normalize_5_54]) ).
cnf(refute_5_300,plain,
( e3 != e2
| e2 = e3 ),
inference(subst,[],[refute_5_8:[bind(X,$fot(e3)),bind(Y,$fot(e2))]]) ).
cnf(refute_5_301,plain,
e3 != e2,
inference(resolve,[$cnf( $equal(e2,e3) )],[refute_5_300,refute_5_299]) ).
cnf(refute_5_302,plain,
( op(e0,e3) = e2
| op(e1,e3) = e2
| op(e3,e3) = e2 ),
inference(resolve,[$cnf( $equal(e3,e2) )],[refute_5_298,refute_5_301]) ).
cnf(refute_5_303,plain,
op(e3,e3) != op(e3,e4),
inference(canonicalize,[],[normalize_5_55]) ).
cnf(refute_5_304,plain,
( op(e3,e3) != e2
| op(e3,e4) != e2
| op(e3,e3) = op(e3,e4) ),
introduced(tautology,[equality,[$cnf( ~ $equal(op(e3,e3),op(e3,e4)) ),[1],$fot(e2)]]) ).
cnf(refute_5_305,plain,
( op(e3,e3) != e2
| op(e3,e3) = op(e3,e4) ),
inference(resolve,[$cnf( $equal(op(e3,e4),e2) )],[refute_5_59,refute_5_304]) ).
cnf(refute_5_306,plain,
op(e3,e3) != e2,
inference(resolve,[$cnf( $equal(op(e3,e3),op(e3,e4)) )],[refute_5_305,refute_5_303]) ).
cnf(refute_5_307,plain,
( op(e0,e3) = e2
| op(e1,e3) = e2 ),
inference(resolve,[$cnf( $equal(op(e3,e3),e2) )],[refute_5_302,refute_5_306]) ).
cnf(refute_5_308,plain,
( op(e1,e3) != e2
| op(e1,e3) != e4
| e2 = e4 ),
introduced(tautology,[equality,[$cnf( $equal(op(e1,e3),e4) ),[0],$fot(e2)]]) ).
cnf(refute_5_309,plain,
( op(e1,e3) != e4
| e2 = e4
| op(e0,e3) = e2 ),
inference(resolve,[$cnf( $equal(op(e1,e3),e2) )],[refute_5_307,refute_5_308]) ).
cnf(refute_5_310,plain,
( e2 = e4
| op(e0,e3) = e2
| op(e1,e1) = e4 ),
inference(resolve,[$cnf( $equal(op(e1,e3),e4) )],[refute_5_245,refute_5_309]) ).
cnf(refute_5_311,plain,
( op(e0,e3) = e2
| op(e1,e1) = e4 ),
inference(resolve,[$cnf( $equal(e2,e4) )],[refute_5_310,refute_5_63]) ).
cnf(refute_5_312,plain,
( e4 != op(e3,e1)
| op(e1,e1) != e4
| op(e1,e1) = op(e3,e1) ),
introduced(tautology,[equality,[$cnf( $equal(op(e1,e1),e4) ),[1],$fot(op(e3,e1))]]) ).
cnf(refute_5_313,plain,
( e4 != op(e3,e1)
| op(e0,e3) = e2
| op(e1,e1) = op(e3,e1) ),
inference(resolve,[$cnf( $equal(op(e1,e1),e4) )],[refute_5_311,refute_5_312]) ).
cnf(refute_5_314,plain,
( e4 != op(e3,e1)
| op(e0,e3) = e2 ),
inference(resolve,[$cnf( $equal(op(e1,e1),op(e3,e1)) )],[refute_5_313,refute_5_207]) ).
cnf(refute_5_315,plain,
( e4 != e4
| op(e0,e3) = e2 ),
inference(resolve,[$cnf( $equal(e4,op(e3,e1)) )],[refute_5_201,refute_5_314]) ).
cnf(refute_5_316,plain,
op(e0,e3) = e2,
inference(resolve,[$cnf( $equal(e4,e4) )],[refute_5_203,refute_5_315]) ).
cnf(refute_5_317,plain,
( e2 != e2
| op(e0,e3) != e2
| e2 = op(e0,e3) ),
introduced(tautology,[equality,[$cnf( ~ $equal(e2,op(e0,e3)) ),[1],$fot(e2)]]) ).
cnf(refute_5_318,plain,
( e2 != e2
| e2 = op(e0,e3) ),
inference(resolve,[$cnf( $equal(op(e0,e3),e2) )],[refute_5_316,refute_5_317]) ).
cnf(refute_5_319,plain,
( e2 != e2
| op(e0,e1) = op(e0,e3) ),
inference(resolve,[$cnf( $equal(e2,op(e0,e3)) )],[refute_5_318,refute_5_206]) ).
cnf(refute_5_320,plain,
e2 != e2,
inference(resolve,[$cnf( $equal(op(e0,e1),op(e0,e3)) )],[refute_5_319,refute_5_0]) ).
cnf(refute_5_321,plain,
$false,
inference(resolve,[$cnf( $equal(e2,e2) )],[refute_5_244,refute_5_320]) ).
fof(negate_6_0,plain,
~ ( ( ( ( op(e0,e0) = e0
& op(e0,e0) = e0
& op(e0,e0) != e0 )
| ( op(e0,e0) = e1
& op(e1,e1) = e0
& op(e0,e1) != e0 )
| ( op(e0,e0) = e2
& op(e2,e2) = e0
& op(e0,e2) != e0 )
| ( op(e0,e0) = e3
& op(e3,e3) = e0
& op(e0,e3) != e0 )
| ( op(e0,e0) = e4
& op(e4,e4) = e0
& op(e0,e4) != e0 )
| ( op(e1,e1) = e0
& op(e0,e0) = e1
& op(e1,e0) != e1 )
| ( op(e1,e1) = e1
& op(e1,e1) = e1
& op(e1,e1) != e1 )
| ( op(e1,e1) = e2
& op(e2,e2) = e1
& op(e1,e2) != e1 )
| ( op(e1,e1) = e3
& op(e3,e3) = e1
& op(e1,e3) != e1 )
| ( op(e1,e1) = e4
& op(e4,e4) = e1
& op(e1,e4) != e1 )
| ( op(e2,e2) = e0
& op(e0,e0) = e2
& op(e2,e0) != e2 )
| ( op(e2,e2) = e1
& op(e1,e1) = e2
& op(e2,e1) != e2 )
| ( op(e2,e2) = e2
& op(e2,e2) = e2
& op(e2,e2) != e2 )
| ( op(e2,e2) = e3
& op(e3,e3) = e2
& op(e2,e3) != e2 )
| ( op(e2,e2) = e4
& op(e4,e4) = e2
& op(e2,e4) != e2 )
| ( op(e3,e3) = e0
& op(e0,e0) = e3
& op(e3,e0) != e3 )
| ( op(e3,e3) = e1
& op(e1,e1) = e3
& op(e3,e1) != e3 )
| ( op(e3,e3) = e2
& op(e2,e2) = e3
& op(e3,e2) != e3 )
| ( op(e3,e3) = e3
& op(e3,e3) = e3
& op(e3,e3) != e3 )
| ( op(e3,e3) = e4
& op(e4,e4) = e3
& op(e3,e4) != e3 )
| ( op(e4,e4) = e0
& op(e0,e0) = e4
& op(e4,e0) != e4 )
| ( op(e4,e4) = e1
& op(e1,e1) = e4
& op(e4,e1) != e4 )
| ( op(e4,e4) = e2
& op(e2,e2) = e4
& op(e4,e2) != e4 )
| ( op(e4,e4) = e3
& op(e3,e3) = e4
& op(e4,e3) != e4 )
| ( op(e4,e4) = e4
& op(e4,e4) = e4
& op(e4,e4) != e4 ) )
& ~ ( op(e0,e0) != op(e0,e0)
& op(op(e0,e0),e0) = e0
& op(op(e0,e0),e0) != e0 )
& ~ ( op(e1,e0) != op(e0,e1)
& op(op(e0,e1),e1) = e0
& op(op(e0,e1),e0) != e1 )
& ~ ( op(e2,e0) != op(e0,e2)
& op(op(e0,e2),e2) = e0
& op(op(e0,e2),e0) != e2 )
& ~ ( op(e3,e0) != op(e0,e3)
& op(op(e0,e3),e3) = e0
& op(op(e0,e3),e0) != e3 )
& ~ ( op(e4,e0) != op(e0,e4)
& op(op(e0,e4),e4) = e0
& op(op(e0,e4),e0) != e4 )
& ~ ( op(e0,e1) != op(e1,e0)
& op(op(e1,e0),e0) = e1
& op(op(e1,e0),e1) != e0 )
& op(e1,e1) != op(e1,e1)
& op(op(e1,e1),e1) = e1 )
=> op(op(e1,e1),e1) = e1 ),
inference(negate,[],[subgoal_6]) ).
fof(normalize_6_0,plain,
$false,
inference(canonicalize,[],[negate_6_0]) ).
cnf(refute_6_0,plain,
$false,
inference(canonicalize,[],[normalize_6_0]) ).
fof(negate_7_0,plain,
~ ( ( ( ( op(e0,e0) = e0
& op(e0,e0) = e0
& op(e0,e0) != e0 )
| ( op(e0,e0) = e1
& op(e1,e1) = e0
& op(e0,e1) != e0 )
| ( op(e0,e0) = e2
& op(e2,e2) = e0
& op(e0,e2) != e0 )
| ( op(e0,e0) = e3
& op(e3,e3) = e0
& op(e0,e3) != e0 )
| ( op(e0,e0) = e4
& op(e4,e4) = e0
& op(e0,e4) != e0 )
| ( op(e1,e1) = e0
& op(e0,e0) = e1
& op(e1,e0) != e1 )
| ( op(e1,e1) = e1
& op(e1,e1) = e1
& op(e1,e1) != e1 )
| ( op(e1,e1) = e2
& op(e2,e2) = e1
& op(e1,e2) != e1 )
| ( op(e1,e1) = e3
& op(e3,e3) = e1
& op(e1,e3) != e1 )
| ( op(e1,e1) = e4
& op(e4,e4) = e1
& op(e1,e4) != e1 )
| ( op(e2,e2) = e0
& op(e0,e0) = e2
& op(e2,e0) != e2 )
| ( op(e2,e2) = e1
& op(e1,e1) = e2
& op(e2,e1) != e2 )
| ( op(e2,e2) = e2
& op(e2,e2) = e2
& op(e2,e2) != e2 )
| ( op(e2,e2) = e3
& op(e3,e3) = e2
& op(e2,e3) != e2 )
| ( op(e2,e2) = e4
& op(e4,e4) = e2
& op(e2,e4) != e2 )
| ( op(e3,e3) = e0
& op(e0,e0) = e3
& op(e3,e0) != e3 )
| ( op(e3,e3) = e1
& op(e1,e1) = e3
& op(e3,e1) != e3 )
| ( op(e3,e3) = e2
& op(e2,e2) = e3
& op(e3,e2) != e3 )
| ( op(e3,e3) = e3
& op(e3,e3) = e3
& op(e3,e3) != e3 )
| ( op(e3,e3) = e4
& op(e4,e4) = e3
& op(e3,e4) != e3 )
| ( op(e4,e4) = e0
& op(e0,e0) = e4
& op(e4,e0) != e4 )
| ( op(e4,e4) = e1
& op(e1,e1) = e4
& op(e4,e1) != e4 )
| ( op(e4,e4) = e2
& op(e2,e2) = e4
& op(e4,e2) != e4 )
| ( op(e4,e4) = e3
& op(e3,e3) = e4
& op(e4,e3) != e4 )
| ( op(e4,e4) = e4
& op(e4,e4) = e4
& op(e4,e4) != e4 ) )
& ~ ( op(e0,e0) != op(e0,e0)
& op(op(e0,e0),e0) = e0
& op(op(e0,e0),e0) != e0 )
& ~ ( op(e1,e0) != op(e0,e1)
& op(op(e0,e1),e1) = e0
& op(op(e0,e1),e0) != e1 )
& ~ ( op(e2,e0) != op(e0,e2)
& op(op(e0,e2),e2) = e0
& op(op(e0,e2),e0) != e2 )
& ~ ( op(e3,e0) != op(e0,e3)
& op(op(e0,e3),e3) = e0
& op(op(e0,e3),e0) != e3 )
& ~ ( op(e4,e0) != op(e0,e4)
& op(op(e0,e4),e4) = e0
& op(op(e0,e4),e0) != e4 )
& ~ ( op(e0,e1) != op(e1,e0)
& op(op(e1,e0),e0) = e1
& op(op(e1,e0),e1) != e0 )
& ~ ( op(e1,e1) != op(e1,e1)
& op(op(e1,e1),e1) = e1
& op(op(e1,e1),e1) != e1 )
& op(e2,e1) != op(e1,e2)
& op(op(e1,e2),e2) = e1 )
=> op(op(e1,e2),e1) = e2 ),
inference(negate,[],[subgoal_7]) ).
fof(normalize_7_0,plain,
( op(e2,e1) != op(e1,e2)
& op(op(e1,e2),e1) != e2
& op(op(e1,e2),e2) = e1
& ( op(op(e0,e1),e1) != e0
| op(e1,e0) = op(e0,e1)
| op(op(e0,e1),e0) = e1 )
& ( op(op(e0,e2),e2) != e0
| op(e2,e0) = op(e0,e2)
| op(op(e0,e2),e0) = e2 )
& ( op(op(e0,e3),e3) != e0
| op(e3,e0) = op(e0,e3)
| op(op(e0,e3),e0) = e3 )
& ( op(op(e0,e4),e4) != e0
| op(e4,e0) = op(e0,e4)
| op(op(e0,e4),e0) = e4 )
& ( op(op(e1,e0),e0) != e1
| op(e0,e1) = op(e1,e0)
| op(op(e1,e0),e1) = e0 )
& ( ( op(e0,e1) != e0
& op(e0,e0) = e1
& op(e1,e1) = e0 )
| ( op(e0,e2) != e0
& op(e0,e0) = e2
& op(e2,e2) = e0 )
| ( op(e0,e3) != e0
& op(e0,e0) = e3
& op(e3,e3) = e0 )
| ( op(e0,e4) != e0
& op(e0,e0) = e4
& op(e4,e4) = e0 )
| ( op(e1,e0) != e1
& op(e0,e0) = e1
& op(e1,e1) = e0 )
| ( op(e1,e2) != e1
& op(e1,e1) = e2
& op(e2,e2) = e1 )
| ( op(e1,e3) != e1
& op(e1,e1) = e3
& op(e3,e3) = e1 )
| ( op(e1,e4) != e1
& op(e1,e1) = e4
& op(e4,e4) = e1 )
| ( op(e2,e0) != e2
& op(e0,e0) = e2
& op(e2,e2) = e0 )
| ( op(e2,e1) != e2
& op(e1,e1) = e2
& op(e2,e2) = e1 )
| ( op(e2,e3) != e2
& op(e2,e2) = e3
& op(e3,e3) = e2 )
| ( op(e2,e4) != e2
& op(e2,e2) = e4
& op(e4,e4) = e2 )
| ( op(e3,e0) != e3
& op(e0,e0) = e3
& op(e3,e3) = e0 )
| ( op(e3,e1) != e3
& op(e1,e1) = e3
& op(e3,e3) = e1 )
| ( op(e3,e2) != e3
& op(e2,e2) = e3
& op(e3,e3) = e2 )
| ( op(e3,e4) != e3
& op(e3,e3) = e4
& op(e4,e4) = e3 )
| ( op(e4,e0) != e4
& op(e0,e0) = e4
& op(e4,e4) = e0 )
| ( op(e4,e1) != e4
& op(e1,e1) = e4
& op(e4,e4) = e1 )
| ( op(e4,e2) != e4
& op(e2,e2) = e4
& op(e4,e4) = e2 )
| ( op(e4,e3) != e4
& op(e3,e3) = e4
& op(e4,e4) = e3 ) ) ),
inference(canonicalize,[],[negate_7_0]) ).
fof(normalize_7_1,plain,
op(op(e1,e2),e2) = e1,
inference(conjunct,[],[normalize_7_0]) ).
fof(normalize_7_2,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,[],[ax3]) ).
fof(normalize_7_3,plain,
( op(e0,e2) = e3
| op(e1,e2) = e3
| op(e2,e2) = e3
| op(e3,e2) = e3
| op(e4,e2) = e3 ),
inference(conjunct,[],[normalize_7_2]) ).
fof(normalize_7_4,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_7_5,plain,
op(e4,e1) != op(e4,e2),
inference(conjunct,[],[normalize_7_4]) ).
fof(normalize_7_6,plain,
( e0 = op(op(e4,e4),e4)
& e1 = op(e4,e4)
& e2 = op(op(e4,op(e4,e4)),e4)
& e3 = op(e4,op(e4,e4)) ),
inference(canonicalize,[],[ax6]) ).
fof(normalize_7_7,plain,
e3 = op(e4,op(e4,e4)),
inference(conjunct,[],[normalize_7_6]) ).
fof(normalize_7_8,plain,
e1 = op(e4,e4),
inference(conjunct,[],[normalize_7_6]) ).
fof(normalize_7_9,plain,
( op(e0,unit) = e0
& op(e1,unit) = e1
& op(e2,unit) = e2
& op(e3,unit) = e3
& op(e4,unit) = e4
& op(unit,e0) = e0
& op(unit,e1) = e1
& op(unit,e2) = e2
& op(unit,e3) = e3
& op(unit,e4) = e4
& ( unit = e0
| unit = e1
| unit = e2
| unit = e3
| unit = e4 ) ),
inference(canonicalize,[],[ax2]) ).
fof(normalize_7_10,plain,
op(unit,e2) = e2,
inference(conjunct,[],[normalize_7_9]) ).
fof(normalize_7_11,plain,
op(e2,e1) != op(e1,e2),
inference(conjunct,[],[normalize_7_0]) ).
fof(normalize_7_12,plain,
op(unit,e1) = e1,
inference(conjunct,[],[normalize_7_9]) ).
fof(normalize_7_13,plain,
op(unit,e4) = e4,
inference(conjunct,[],[normalize_7_9]) ).
fof(normalize_7_14,plain,
( unit = e0
| unit = e1
| unit = e2
| unit = e3
| unit = e4 ),
inference(conjunct,[],[normalize_7_9]) ).
fof(normalize_7_15,plain,
e0 = op(op(e4,e4),e4),
inference(conjunct,[],[normalize_7_6]) ).
fof(normalize_7_16,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_7_17,plain,
e0 != e4,
inference(conjunct,[],[normalize_7_16]) ).
fof(normalize_7_18,plain,
e2 = op(op(e4,op(e4,e4)),e4),
inference(conjunct,[],[normalize_7_6]) ).
fof(normalize_7_19,plain,
e2 != e4,
inference(conjunct,[],[normalize_7_16]) ).
fof(normalize_7_20,plain,
e1 != e4,
inference(conjunct,[],[normalize_7_16]) ).
fof(normalize_7_21,plain,
op(e1,unit) = e1,
inference(conjunct,[],[normalize_7_9]) ).
fof(normalize_7_22,plain,
( ~ definitionFOFtoCNF_55
<=> ( ( op(e0,e0) != e1
| op(e1,e1) != e0
| op(e0,e1) = e0 )
& ( op(e0,e0) != e1
| op(e1,e1) != e0
| op(e1,e0) = e1 )
& ( op(e0,e0) != e2
| op(e2,e2) != e0
| op(e0,e2) = e0 )
& ( op(e0,e0) != e2
| op(e2,e2) != e0
| op(e2,e0) = e2 )
& ( op(e0,e0) != e3
| op(e3,e3) != e0
| op(e0,e3) = e0 )
& ( op(e0,e0) != e4
| op(e4,e4) != e0
| op(e0,e4) = e0 )
& ( op(e1,e1) != e2
| op(e2,e2) != e1
| op(e1,e2) = e1 )
& ( op(e1,e1) != e2
| op(e2,e2) != e1
| op(e2,e1) = e2 )
& ( op(e1,e1) != e3
| op(e3,e3) != e1
| op(e1,e3) = e1 )
& ( op(e1,e1) != e4
| op(e4,e4) != e1
| op(e1,e4) = e1 ) ) ),
inference(canonicalize,[],[definition_29]) ).
fof(normalize_7_23,plain,
( ~ definitionFOFtoCNF_56
<=> ( ( op(e0,e1) != e0
& op(e0,e0) = e1
& op(e1,e1) = e0 )
| ( op(e0,e2) != e0
& op(e0,e0) = e2
& op(e2,e2) = e0 )
| ( op(e0,e3) != e0
& op(e0,e0) = e3
& op(e3,e3) = e0 )
| ( op(e1,e0) != e1
& op(e0,e0) = e1
& op(e1,e1) = e0 )
| ( op(e2,e0) != e2
& op(e0,e0) = e2
& op(e2,e2) = e0 ) ) ),
inference(canonicalize,[],[definition_30]) ).
fof(normalize_7_24,plain,
( ~ definitionFOFtoCNF_57
<=> ( ( op(e0,e1) != e0
& op(e0,e0) = e1
& op(e1,e1) = e0 )
| ( op(e1,e0) != e1
& op(e0,e0) = e1
& op(e1,e1) = e0 ) ) ),
inference(canonicalize,[],[definition_31]) ).
fof(normalize_7_25,plain,
( ~ definitionFOFtoCNF_56
<=> ( ~ definitionFOFtoCNF_57
| ( op(e0,e2) != e0
& op(e0,e0) = e2
& op(e2,e2) = e0 )
| ( op(e0,e3) != e0
& op(e0,e0) = e3
& op(e3,e3) = e0 )
| ( op(e2,e0) != e2
& op(e0,e0) = e2
& op(e2,e2) = e0 ) ) ),
inference(simplify,[],[normalize_7_23,normalize_7_24]) ).
fof(normalize_7_26,plain,
( ~ definitionFOFtoCNF_58
<=> ( op(e0,e2) != e0
& op(e0,e0) = e2
& op(e2,e2) = e0 ) ),
inference(canonicalize,[],[definition_32]) ).
fof(normalize_7_27,plain,
( ~ definitionFOFtoCNF_56
<=> ( ~ definitionFOFtoCNF_57
| ~ definitionFOFtoCNF_58
| ( op(e0,e3) != e0
& op(e0,e0) = e3
& op(e3,e3) = e0 )
| ( op(e2,e0) != e2
& op(e0,e0) = e2
& op(e2,e2) = e0 ) ) ),
inference(simplify,[],[normalize_7_25,normalize_7_26]) ).
fof(normalize_7_28,plain,
( ~ definitionFOFtoCNF_55
<=> ( definitionFOFtoCNF_56
& ( op(e0,e0) != e4
| op(e4,e4) != e0
| op(e0,e4) = e0 )
& ( op(e1,e1) != e2
| op(e2,e2) != e1
| op(e1,e2) = e1 )
& ( op(e1,e1) != e2
| op(e2,e2) != e1
| op(e2,e1) = e2 )
& ( op(e1,e1) != e3
| op(e3,e3) != e1
| op(e1,e3) = e1 )
& ( op(e1,e1) != e4
| op(e4,e4) != e1
| op(e1,e4) = e1 ) ) ),
inference(simplify,[],[normalize_7_22,normalize_7_27,normalize_7_24,normalize_7_26]) ).
fof(normalize_7_29,plain,
( ~ definitionFOFtoCNF_59
<=> ( ( op(e1,e3) != e1
& op(e1,e1) = e3
& op(e3,e3) = e1 )
| ( op(e1,e4) != e1
& op(e1,e1) = e4
& op(e4,e4) = e1 ) ) ),
inference(canonicalize,[],[definition_33]) ).
fof(normalize_7_30,plain,
( ~ definitionFOFtoCNF_55
<=> ( definitionFOFtoCNF_56
& definitionFOFtoCNF_59
& ( op(e0,e0) != e4
| op(e4,e4) != e0
| op(e0,e4) = e0 )
& ( op(e1,e1) != e2
| op(e2,e2) != e1
| op(e1,e2) = e1 )
& ( op(e1,e1) != e2
| op(e2,e2) != e1
| op(e2,e1) = e2 ) ) ),
inference(simplify,[],[normalize_7_28,normalize_7_29]) ).
fof(normalize_7_31,plain,
( ~ definitionFOFtoCNF_60
<=> ( op(e0,e4) != e0
& op(e0,e0) = e4
& op(e4,e4) = e0 ) ),
inference(canonicalize,[],[definition_35]) ).
fof(normalize_7_32,plain,
( ~ definitionFOFtoCNF_55
<=> ( definitionFOFtoCNF_56
& definitionFOFtoCNF_59
& definitionFOFtoCNF_60
& ( op(e1,e1) != e2
| op(e2,e2) != e1
| op(e1,e2) = e1 )
& ( op(e1,e1) != e2
| op(e2,e2) != e1
| op(e2,e1) = e2 ) ) ),
inference(simplify,[],[normalize_7_30,normalize_7_31]) ).
fof(normalize_7_33,plain,
( ( definitionFOFtoCNF_55
| definitionFOFtoCNF_56 )
& ( definitionFOFtoCNF_55
| definitionFOFtoCNF_59 )
& ( definitionFOFtoCNF_55
| definitionFOFtoCNF_60 )
& ( op(e1,e1) != e2
| op(e2,e2) != e1
| op(e1,e2) = e1
| definitionFOFtoCNF_55 )
& ( op(e1,e1) != e2
| op(e2,e2) != e1
| op(e2,e1) = e2
| definitionFOFtoCNF_55 )
& ( ~ definitionFOFtoCNF_55
| ~ definitionFOFtoCNF_56
| ~ definitionFOFtoCNF_59
| ~ definitionFOFtoCNF_60
| op(e1,e1) = e2 )
& ( ~ definitionFOFtoCNF_55
| ~ definitionFOFtoCNF_56
| ~ definitionFOFtoCNF_59
| ~ definitionFOFtoCNF_60
| op(e2,e2) = e1 )
& ( op(e1,e2) != e1
| op(e2,e1) != e2
| ~ definitionFOFtoCNF_55
| ~ definitionFOFtoCNF_56
| ~ definitionFOFtoCNF_59
| ~ definitionFOFtoCNF_60 )
& ( op(e1,e2) != e1
| ~ definitionFOFtoCNF_55
| ~ definitionFOFtoCNF_56
| ~ definitionFOFtoCNF_59
| ~ definitionFOFtoCNF_60
| op(e1,e1) = e2 )
& ( op(e1,e2) != e1
| ~ definitionFOFtoCNF_55
| ~ definitionFOFtoCNF_56
| ~ definitionFOFtoCNF_59
| ~ definitionFOFtoCNF_60
| op(e2,e2) = e1 )
& ( op(e2,e1) != e2
| ~ definitionFOFtoCNF_55
| ~ definitionFOFtoCNF_56
| ~ definitionFOFtoCNF_59
| ~ definitionFOFtoCNF_60
| op(e1,e1) = e2 )
& ( op(e2,e1) != e2
| ~ definitionFOFtoCNF_55
| ~ definitionFOFtoCNF_56
| ~ definitionFOFtoCNF_59
| ~ definitionFOFtoCNF_60
| op(e2,e2) = e1 )
& ( ~ definitionFOFtoCNF_55
| ~ definitionFOFtoCNF_56
| ~ definitionFOFtoCNF_59
| ~ definitionFOFtoCNF_60
| op(e1,e1) = e2
| op(e2,e2) = e1 ) ),
inference(clausify,[],[normalize_7_32]) ).
fof(normalize_7_34,plain,
( ~ definitionFOFtoCNF_55
| ~ definitionFOFtoCNF_56
| ~ definitionFOFtoCNF_59
| ~ definitionFOFtoCNF_60
| op(e2,e2) = e1 ),
inference(conjunct,[],[normalize_7_33]) ).
fof(normalize_7_35,plain,
( ( op(e0,e4) != e0
| definitionFOFtoCNF_60 )
& ( op(e0,e0) = e4
| definitionFOFtoCNF_60 )
& ( op(e4,e4) = e0
| definitionFOFtoCNF_60 )
& ( op(e0,e0) != e4
| op(e4,e4) != e0
| ~ definitionFOFtoCNF_60
| op(e0,e4) = e0 ) ),
inference(clausify,[],[normalize_7_31]) ).
fof(normalize_7_36,plain,
( op(e4,e4) = e0
| definitionFOFtoCNF_60 ),
inference(conjunct,[],[normalize_7_35]) ).
fof(normalize_7_37,plain,
e0 != e1,
inference(conjunct,[],[normalize_7_16]) ).
fof(normalize_7_38,plain,
( ( op(e1,e3) != e1
| op(e1,e4) != e1
| definitionFOFtoCNF_59 )
& ( op(e1,e3) != e1
| op(e1,e1) = e4
| definitionFOFtoCNF_59 )
& ( op(e1,e3) != e1
| op(e4,e4) = e1
| definitionFOFtoCNF_59 )
& ( op(e1,e4) != e1
| op(e1,e1) = e3
| definitionFOFtoCNF_59 )
& ( op(e1,e4) != e1
| op(e3,e3) = e1
| definitionFOFtoCNF_59 )
& ( op(e1,e1) = e3
| op(e1,e1) = e4
| definitionFOFtoCNF_59 )
& ( op(e1,e1) = e3
| op(e4,e4) = e1
| definitionFOFtoCNF_59 )
& ( op(e1,e1) = e4
| op(e3,e3) = e1
| definitionFOFtoCNF_59 )
& ( op(e3,e3) = e1
| op(e4,e4) = e1
| definitionFOFtoCNF_59 )
& ( op(e1,e1) != e3
| op(e3,e3) != e1
| ~ definitionFOFtoCNF_59
| op(e1,e3) = e1 )
& ( op(e1,e1) != e4
| op(e4,e4) != e1
| ~ definitionFOFtoCNF_59
| op(e1,e4) = e1 ) ),
inference(clausify,[],[normalize_7_29]) ).
fof(normalize_7_39,plain,
( op(e1,e1) = e3
| op(e1,e1) = e4
| definitionFOFtoCNF_59 ),
inference(conjunct,[],[normalize_7_38]) ).
fof(normalize_7_40,plain,
op(e1,e1) != op(e4,e1),
inference(conjunct,[],[normalize_7_4]) ).
fof(normalize_7_41,plain,
( op(e0,e1) = e2
| op(e1,e1) = e2
| op(e2,e1) = e2
| op(e3,e1) = e2
| op(e4,e1) = e2 ),
inference(conjunct,[],[normalize_7_2]) ).
fof(normalize_7_42,plain,
e2 != e3,
inference(conjunct,[],[normalize_7_16]) ).
fof(normalize_7_43,plain,
op(e3,e1) != op(e3,e4),
inference(conjunct,[],[normalize_7_4]) ).
fof(normalize_7_44,plain,
e1 != e2,
inference(conjunct,[],[normalize_7_16]) ).
fof(normalize_7_45,plain,
op(e2,e0) != op(e2,e1),
inference(conjunct,[],[normalize_7_4]) ).
fof(normalize_7_46,plain,
op(e2,unit) = e2,
inference(conjunct,[],[normalize_7_9]) ).
fof(normalize_7_47,plain,
op(e2,e2) != op(e2,e3),
inference(conjunct,[],[normalize_7_4]) ).
fof(normalize_7_48,plain,
op(unit,e3) = e3,
inference(conjunct,[],[normalize_7_9]) ).
fof(normalize_7_49,plain,
( definitionFOFtoCNF_55
| definitionFOFtoCNF_59 ),
inference(conjunct,[],[normalize_7_33]) ).
fof(normalize_7_50,plain,
( op(e1,e1) != e4
| op(e4,e4) != e1
| ~ definitionFOFtoCNF_59
| op(e1,e4) = e1 ),
inference(conjunct,[],[normalize_7_38]) ).
fof(normalize_7_51,plain,
( ( op(e0,e1) != e0
& op(e0,e0) = e1
& op(e1,e1) = e0 )
| ( op(e0,e2) != e0
& op(e0,e0) = e2
& op(e2,e2) = e0 )
| ( op(e0,e3) != e0
& op(e0,e0) = e3
& op(e3,e3) = e0 )
| ( op(e0,e4) != e0
& op(e0,e0) = e4
& op(e4,e4) = e0 )
| ( op(e1,e0) != e1
& op(e0,e0) = e1
& op(e1,e1) = e0 )
| ( op(e1,e2) != e1
& op(e1,e1) = e2
& op(e2,e2) = e1 )
| ( op(e1,e3) != e1
& op(e1,e1) = e3
& op(e3,e3) = e1 )
| ( op(e1,e4) != e1
& op(e1,e1) = e4
& op(e4,e4) = e1 )
| ( op(e2,e0) != e2
& op(e0,e0) = e2
& op(e2,e2) = e0 )
| ( op(e2,e1) != e2
& op(e1,e1) = e2
& op(e2,e2) = e1 )
| ( op(e2,e3) != e2
& op(e2,e2) = e3
& op(e3,e3) = e2 )
| ( op(e2,e4) != e2
& op(e2,e2) = e4
& op(e4,e4) = e2 )
| ( op(e3,e0) != e3
& op(e0,e0) = e3
& op(e3,e3) = e0 )
| ( op(e3,e1) != e3
& op(e1,e1) = e3
& op(e3,e3) = e1 )
| ( op(e3,e2) != e3
& op(e2,e2) = e3
& op(e3,e3) = e2 )
| ( op(e3,e4) != e3
& op(e3,e3) = e4
& op(e4,e4) = e3 )
| ( op(e4,e0) != e4
& op(e0,e0) = e4
& op(e4,e4) = e0 )
| ( op(e4,e1) != e4
& op(e1,e1) = e4
& op(e4,e4) = e1 )
| ( op(e4,e2) != e4
& op(e2,e2) = e4
& op(e4,e4) = e2 )
| ( op(e4,e3) != e4
& op(e3,e3) = e4
& op(e4,e4) = e3 ) ),
inference(conjunct,[],[normalize_7_0]) ).
fof(normalize_7_52,plain,
( definitionFOFtoCNF_55
| ( op(e2,e3) != e2
& op(e2,e2) = e3
& op(e3,e3) = e2 )
| ( op(e2,e4) != e2
& op(e2,e2) = e4
& op(e4,e4) = e2 )
| ( op(e3,e0) != e3
& op(e0,e0) = e3
& op(e3,e3) = e0 )
| ( op(e3,e1) != e3
& op(e1,e1) = e3
& op(e3,e3) = e1 )
| ( op(e3,e2) != e3
& op(e2,e2) = e3
& op(e3,e3) = e2 )
| ( op(e3,e4) != e3
& op(e3,e3) = e4
& op(e4,e4) = e3 )
| ( op(e4,e0) != e4
& op(e0,e0) = e4
& op(e4,e4) = e0 )
| ( op(e4,e1) != e4
& op(e1,e1) = e4
& op(e4,e4) = e1 )
| ( op(e4,e2) != e4
& op(e2,e2) = e4
& op(e4,e4) = e2 )
| ( op(e4,e3) != e4
& op(e3,e3) = e4
& op(e4,e4) = e3 ) ),
inference(simplify,[],[normalize_7_51,normalize_7_32,normalize_7_29,normalize_7_27,normalize_7_24,normalize_7_26,normalize_7_31]) ).
fof(normalize_7_53,plain,
( ~ definitionFOFtoCNF_61
<=> ( ~ definitionFOFtoCNF_55
& ( op(e0,e0) != e3
| op(e3,e3) != e0
| op(e3,e0) = e3 )
& ( op(e1,e1) != e3
| op(e3,e3) != e1
| op(e3,e1) = e3 )
& ( op(e2,e2) != e3
| op(e3,e3) != e2
| op(e2,e3) = e2 )
& ( op(e2,e2) != e3
| op(e3,e3) != e2
| op(e3,e2) = e3 )
& ( op(e2,e2) != e4
| op(e4,e4) != e2
| op(e2,e4) = e2 ) ) ),
inference(canonicalize,[],[definition_36]) ).
fof(normalize_7_54,plain,
( ~ definitionFOFtoCNF_62
<=> ( ( op(e2,e4) != e2
& op(e2,e2) = e4
& op(e4,e4) = e2 )
| ( op(e3,e2) != e3
& op(e2,e2) = e3
& op(e3,e3) = e2 ) ) ),
inference(canonicalize,[],[definition_37]) ).
fof(normalize_7_55,plain,
( ~ definitionFOFtoCNF_61
<=> ( ~ definitionFOFtoCNF_55
& definitionFOFtoCNF_62
& ( op(e0,e0) != e3
| op(e3,e3) != e0
| op(e3,e0) = e3 )
& ( op(e1,e1) != e3
| op(e3,e3) != e1
| op(e3,e1) = e3 )
& ( op(e2,e2) != e3
| op(e3,e3) != e2
| op(e2,e3) = e2 ) ) ),
inference(simplify,[],[normalize_7_53,normalize_7_54]) ).
fof(normalize_7_56,plain,
( ~ definitionFOFtoCNF_63
<=> ( op(e3,e0) != e3
& op(e0,e0) = e3
& op(e3,e3) = e0 ) ),
inference(canonicalize,[],[definition_38]) ).
fof(normalize_7_57,plain,
( ~ definitionFOFtoCNF_61
<=> ( ~ definitionFOFtoCNF_55
& definitionFOFtoCNF_62
& definitionFOFtoCNF_63
& ( op(e1,e1) != e3
| op(e3,e3) != e1
| op(e3,e1) = e3 )
& ( op(e2,e2) != e3
| op(e3,e3) != e2
| op(e2,e3) = e2 ) ) ),
inference(simplify,[],[normalize_7_55,normalize_7_56]) ).
fof(normalize_7_58,plain,
( definitionFOFtoCNF_61
| ( op(e3,e4) != e3
& op(e3,e3) = e4
& op(e4,e4) = e3 )
| ( op(e4,e0) != e4
& op(e0,e0) = e4
& op(e4,e4) = e0 )
| ( op(e4,e1) != e4
& op(e1,e1) = e4
& op(e4,e4) = e1 )
| ( op(e4,e2) != e4
& op(e2,e2) = e4
& op(e4,e4) = e2 )
| ( op(e4,e3) != e4
& op(e3,e3) = e4
& op(e4,e4) = e3 ) ),
inference(simplify,[],[normalize_7_52,normalize_7_57,normalize_7_54,normalize_7_56]) ).
fof(normalize_7_59,plain,
( ~ definitionFOFtoCNF_64
<=> ( ( op(e2,e2) != e4
| op(e4,e4) != e2
| op(e4,e2) = e4 )
& ( op(e3,e3) != e4
| op(e4,e4) != e3
| op(e4,e3) = e4 ) ) ),
inference(canonicalize,[],[definition_39]) ).
fof(normalize_7_60,plain,
( definitionFOFtoCNF_61
| definitionFOFtoCNF_64
| ( op(e3,e4) != e3
& op(e3,e3) = e4
& op(e4,e4) = e3 )
| ( op(e4,e0) != e4
& op(e0,e0) = e4
& op(e4,e4) = e0 )
| ( op(e4,e1) != e4
& op(e1,e1) = e4
& op(e4,e4) = e1 ) ),
inference(simplify,[],[normalize_7_58,normalize_7_59]) ).
fof(normalize_7_61,plain,
( ~ definitionFOFtoCNF_65
<=> ( op(e3,e3) != e4
| op(e4,e4) != e3
| op(e3,e4) = e3 ) ),
inference(canonicalize,[],[definition_40]) ).
fof(normalize_7_62,plain,
( definitionFOFtoCNF_61
| definitionFOFtoCNF_64
| definitionFOFtoCNF_65
| ( op(e4,e0) != e4
& op(e0,e0) = e4
& op(e4,e4) = e0 )
| ( op(e4,e1) != e4
& op(e1,e1) = e4
& op(e4,e4) = e1 ) ),
inference(simplify,[],[normalize_7_60,normalize_7_61]) ).
fof(normalize_7_63,plain,
( ( op(e4,e0) != e4
| op(e4,e1) != e4
| definitionFOFtoCNF_61
| definitionFOFtoCNF_64
| definitionFOFtoCNF_65 )
& ( op(e4,e0) != e4
| op(e1,e1) = e4
| definitionFOFtoCNF_61
| definitionFOFtoCNF_64
| definitionFOFtoCNF_65 )
& ( op(e4,e0) != e4
| op(e4,e4) = e1
| definitionFOFtoCNF_61
| definitionFOFtoCNF_64
| definitionFOFtoCNF_65 )
& ( op(e4,e1) != e4
| op(e0,e0) = e4
| definitionFOFtoCNF_61
| definitionFOFtoCNF_64
| definitionFOFtoCNF_65 )
& ( op(e4,e1) != e4
| op(e4,e4) = e0
| definitionFOFtoCNF_61
| definitionFOFtoCNF_64
| definitionFOFtoCNF_65 )
& ( op(e0,e0) = e4
| op(e1,e1) = e4
| definitionFOFtoCNF_61
| definitionFOFtoCNF_64
| definitionFOFtoCNF_65 )
& ( op(e0,e0) = e4
| op(e4,e4) = e1
| definitionFOFtoCNF_61
| definitionFOFtoCNF_64
| definitionFOFtoCNF_65 )
& ( op(e1,e1) = e4
| op(e4,e4) = e0
| definitionFOFtoCNF_61
| definitionFOFtoCNF_64
| definitionFOFtoCNF_65 )
& ( op(e4,e4) = e0
| op(e4,e4) = e1
| definitionFOFtoCNF_61
| definitionFOFtoCNF_64
| definitionFOFtoCNF_65 ) ),
inference(clausify,[],[normalize_7_62]) ).
fof(normalize_7_64,plain,
( op(e1,e1) = e4
| op(e4,e4) = e0
| definitionFOFtoCNF_61
| definitionFOFtoCNF_64
| definitionFOFtoCNF_65 ),
inference(conjunct,[],[normalize_7_63]) ).
fof(normalize_7_65,plain,
( ( op(e4,e2) != e4
| op(e4,e3) != e4
| ~ definitionFOFtoCNF_64 )
& ( op(e4,e2) != e4
| ~ definitionFOFtoCNF_64
| op(e3,e3) = e4 )
& ( op(e4,e2) != e4
| ~ definitionFOFtoCNF_64
| op(e4,e4) = e3 )
& ( op(e4,e3) != e4
| ~ definitionFOFtoCNF_64
| op(e2,e2) = e4 )
& ( op(e4,e3) != e4
| ~ definitionFOFtoCNF_64
| op(e4,e4) = e2 )
& ( ~ definitionFOFtoCNF_64
| op(e2,e2) = e4
| op(e3,e3) = e4 )
& ( ~ definitionFOFtoCNF_64
| op(e2,e2) = e4
| op(e4,e4) = e3 )
& ( ~ definitionFOFtoCNF_64
| op(e3,e3) = e4
| op(e4,e4) = e2 )
& ( ~ definitionFOFtoCNF_64
| op(e4,e4) = e2
| op(e4,e4) = e3 )
& ( op(e2,e2) != e4
| op(e4,e4) != e2
| op(e4,e2) = e4
| definitionFOFtoCNF_64 )
& ( op(e3,e3) != e4
| op(e4,e4) != e3
| op(e4,e3) = e4
| definitionFOFtoCNF_64 ) ),
inference(clausify,[],[normalize_7_59]) ).
fof(normalize_7_66,plain,
( ~ definitionFOFtoCNF_64
| op(e4,e4) = e2
| op(e4,e4) = e3 ),
inference(conjunct,[],[normalize_7_65]) ).
fof(normalize_7_67,plain,
op(e4,e1) != op(e4,e4),
inference(conjunct,[],[normalize_7_4]) ).
fof(normalize_7_68,plain,
( ( op(e3,e4) != e3
| ~ definitionFOFtoCNF_65 )
& ( ~ definitionFOFtoCNF_65
| op(e3,e3) = e4 )
& ( ~ definitionFOFtoCNF_65
| op(e4,e4) = e3 )
& ( op(e3,e3) != e4
| op(e4,e4) != e3
| op(e3,e4) = e3
| definitionFOFtoCNF_65 ) ),
inference(clausify,[],[normalize_7_61]) ).
fof(normalize_7_69,plain,
( ~ definitionFOFtoCNF_65
| op(e4,e4) = e3 ),
inference(conjunct,[],[normalize_7_68]) ).
fof(normalize_7_70,plain,
( ( ~ definitionFOFtoCNF_55
| definitionFOFtoCNF_61 )
& ( definitionFOFtoCNF_61
| definitionFOFtoCNF_62 )
& ( definitionFOFtoCNF_61
| definitionFOFtoCNF_63 )
& ( op(e1,e1) != e3
| op(e3,e3) != e1
| op(e3,e1) = e3
| definitionFOFtoCNF_61 )
& ( op(e2,e2) != e3
| op(e3,e3) != e2
| op(e2,e3) = e2
| definitionFOFtoCNF_61 )
& ( op(e2,e3) != e2
| op(e3,e1) != e3
| ~ definitionFOFtoCNF_61
| ~ definitionFOFtoCNF_62
| ~ definitionFOFtoCNF_63
| definitionFOFtoCNF_55 )
& ( op(e2,e3) != e2
| ~ definitionFOFtoCNF_61
| ~ definitionFOFtoCNF_62
| ~ definitionFOFtoCNF_63
| op(e1,e1) = e3
| definitionFOFtoCNF_55 )
& ( op(e2,e3) != e2
| ~ definitionFOFtoCNF_61
| ~ definitionFOFtoCNF_62
| ~ definitionFOFtoCNF_63
| op(e3,e3) = e1
| definitionFOFtoCNF_55 )
& ( op(e3,e1) != e3
| ~ definitionFOFtoCNF_61
| ~ definitionFOFtoCNF_62
| ~ definitionFOFtoCNF_63
| op(e2,e2) = e3
| definitionFOFtoCNF_55 )
& ( op(e3,e1) != e3
| ~ definitionFOFtoCNF_61
| ~ definitionFOFtoCNF_62
| ~ definitionFOFtoCNF_63
| op(e3,e3) = e2
| definitionFOFtoCNF_55 )
& ( ~ definitionFOFtoCNF_61
| ~ definitionFOFtoCNF_62
| ~ definitionFOFtoCNF_63
| op(e1,e1) = e3
| op(e2,e2) = e3
| definitionFOFtoCNF_55 )
& ( ~ definitionFOFtoCNF_61
| ~ definitionFOFtoCNF_62
| ~ definitionFOFtoCNF_63
| op(e1,e1) = e3
| op(e3,e3) = e2
| definitionFOFtoCNF_55 )
& ( ~ definitionFOFtoCNF_61
| ~ definitionFOFtoCNF_62
| ~ definitionFOFtoCNF_63
| op(e2,e2) = e3
| op(e3,e3) = e1
| definitionFOFtoCNF_55 )
& ( ~ definitionFOFtoCNF_61
| ~ definitionFOFtoCNF_62
| ~ definitionFOFtoCNF_63
| op(e3,e3) = e1
| op(e3,e3) = e2
| definitionFOFtoCNF_55 ) ),
inference(clausify,[],[normalize_7_57]) ).
fof(normalize_7_71,plain,
( ~ definitionFOFtoCNF_61
| ~ definitionFOFtoCNF_62
| ~ definitionFOFtoCNF_63
| op(e1,e1) = e3
| op(e2,e2) = e3
| definitionFOFtoCNF_55 ),
inference(conjunct,[],[normalize_7_70]) ).
fof(normalize_7_72,plain,
( ( op(e2,e4) != e2
| op(e3,e2) != e3
| definitionFOFtoCNF_62 )
& ( op(e2,e4) != e2
| op(e2,e2) = e3
| definitionFOFtoCNF_62 )
& ( op(e2,e4) != e2
| op(e3,e3) = e2
| definitionFOFtoCNF_62 )
& ( op(e3,e2) != e3
| op(e2,e2) = e4
| definitionFOFtoCNF_62 )
& ( op(e3,e2) != e3
| op(e4,e4) = e2
| definitionFOFtoCNF_62 )
& ( op(e2,e2) = e3
| op(e2,e2) = e4
| definitionFOFtoCNF_62 )
& ( op(e2,e2) = e3
| op(e4,e4) = e2
| definitionFOFtoCNF_62 )
& ( op(e2,e2) = e4
| op(e3,e3) = e2
| definitionFOFtoCNF_62 )
& ( op(e3,e3) = e2
| op(e4,e4) = e2
| definitionFOFtoCNF_62 )
& ( op(e2,e2) != e3
| op(e3,e3) != e2
| ~ definitionFOFtoCNF_62
| op(e3,e2) = e3 )
& ( op(e2,e2) != e4
| op(e4,e4) != e2
| ~ definitionFOFtoCNF_62
| op(e2,e4) = e2 ) ),
inference(clausify,[],[normalize_7_54]) ).
fof(normalize_7_73,plain,
( op(e3,e3) = e2
| op(e4,e4) = e2
| definitionFOFtoCNF_62 ),
inference(conjunct,[],[normalize_7_72]) ).
fof(normalize_7_74,plain,
op(e3,e3) != op(e3,e4),
inference(conjunct,[],[normalize_7_4]) ).
fof(normalize_7_75,plain,
op(e0,e0) != op(e0,e3),
inference(conjunct,[],[normalize_7_4]) ).
fof(normalize_7_76,plain,
( ( op(e3,e0) != e3
| definitionFOFtoCNF_63 )
& ( op(e0,e0) = e3
| definitionFOFtoCNF_63 )
& ( op(e3,e3) = e0
| definitionFOFtoCNF_63 )
& ( op(e0,e0) != e3
| op(e3,e3) != e0
| ~ definitionFOFtoCNF_63
| op(e3,e0) = e3 ) ),
inference(clausify,[],[normalize_7_56]) ).
fof(normalize_7_77,plain,
( op(e0,e0) = e3
| definitionFOFtoCNF_63 ),
inference(conjunct,[],[normalize_7_76]) ).
fof(normalize_7_78,plain,
op(e0,e0) != op(e0,e4),
inference(conjunct,[],[normalize_7_4]) ).
fof(normalize_7_79,plain,
( op(e0,e4) = e3
| op(e1,e4) = e3
| op(e2,e4) = e3
| op(e3,e4) = e3
| op(e4,e4) = e3 ),
inference(conjunct,[],[normalize_7_2]) ).
fof(normalize_7_80,plain,
e0 != e3,
inference(conjunct,[],[normalize_7_16]) ).
fof(normalize_7_81,plain,
e3 != e4,
inference(conjunct,[],[normalize_7_16]) ).
fof(normalize_7_82,plain,
e0 != e2,
inference(conjunct,[],[normalize_7_16]) ).
fof(normalize_7_83,plain,
op(e2,e2) != op(e2,e4),
inference(conjunct,[],[normalize_7_4]) ).
fof(normalize_7_84,plain,
( ( ~ definitionFOFtoCNF_56
| definitionFOFtoCNF_57 )
& ( ~ definitionFOFtoCNF_56
| definitionFOFtoCNF_58 )
& ( op(e0,e0) != e2
| op(e2,e2) != e0
| ~ definitionFOFtoCNF_56
| op(e2,e0) = e2 )
& ( op(e0,e0) != e3
| op(e3,e3) != e0
| ~ definitionFOFtoCNF_56
| op(e0,e3) = e0 )
& ( op(e0,e3) != e0
| op(e2,e0) != e2
| ~ definitionFOFtoCNF_57
| ~ definitionFOFtoCNF_58
| definitionFOFtoCNF_56 )
& ( op(e0,e3) != e0
| ~ definitionFOFtoCNF_57
| ~ definitionFOFtoCNF_58
| op(e0,e0) = e2
| definitionFOFtoCNF_56 )
& ( op(e0,e3) != e0
| ~ definitionFOFtoCNF_57
| ~ definitionFOFtoCNF_58
| op(e2,e2) = e0
| definitionFOFtoCNF_56 )
& ( op(e2,e0) != e2
| ~ definitionFOFtoCNF_57
| ~ definitionFOFtoCNF_58
| op(e0,e0) = e3
| definitionFOFtoCNF_56 )
& ( op(e2,e0) != e2
| ~ definitionFOFtoCNF_57
| ~ definitionFOFtoCNF_58
| op(e3,e3) = e0
| definitionFOFtoCNF_56 )
& ( ~ definitionFOFtoCNF_57
| ~ definitionFOFtoCNF_58
| op(e0,e0) = e2
| op(e0,e0) = e3
| definitionFOFtoCNF_56 )
& ( ~ definitionFOFtoCNF_57
| ~ definitionFOFtoCNF_58
| op(e0,e0) = e2
| op(e3,e3) = e0
| definitionFOFtoCNF_56 )
& ( ~ definitionFOFtoCNF_57
| ~ definitionFOFtoCNF_58
| op(e0,e0) = e3
| op(e2,e2) = e0
| definitionFOFtoCNF_56 )
& ( ~ definitionFOFtoCNF_57
| ~ definitionFOFtoCNF_58
| op(e2,e2) = e0
| op(e3,e3) = e0
| definitionFOFtoCNF_56 ) ),
inference(clausify,[],[normalize_7_27]) ).
fof(normalize_7_85,plain,
( op(e2,e0) != e2
| ~ definitionFOFtoCNF_57
| ~ definitionFOFtoCNF_58
| op(e0,e0) = e3
| definitionFOFtoCNF_56 ),
inference(conjunct,[],[normalize_7_84]) ).
fof(normalize_7_86,plain,
op(e0,unit) = e0,
inference(conjunct,[],[normalize_7_9]) ).
fof(normalize_7_87,plain,
op(e1,e1) != op(e1,e4),
inference(conjunct,[],[normalize_7_4]) ).
fof(normalize_7_88,plain,
( ( op(e0,e0) = e1
| definitionFOFtoCNF_57 )
& ( op(e1,e1) = e0
| definitionFOFtoCNF_57 )
& ( op(e0,e1) != e0
| op(e1,e0) != e1
| definitionFOFtoCNF_57 )
& ( op(e0,e1) != e0
| op(e0,e0) = e1
| definitionFOFtoCNF_57 )
& ( op(e0,e1) != e0
| op(e1,e1) = e0
| definitionFOFtoCNF_57 )
& ( op(e1,e0) != e1
| op(e0,e0) = e1
| definitionFOFtoCNF_57 )
& ( op(e1,e0) != e1
| op(e1,e1) = e0
| definitionFOFtoCNF_57 )
& ( op(e0,e0) = e1
| op(e1,e1) = e0
| definitionFOFtoCNF_57 )
& ( op(e0,e0) != e1
| op(e1,e1) != e0
| ~ definitionFOFtoCNF_57
| op(e0,e1) = e0 )
& ( op(e0,e0) != e1
| op(e1,e1) != e0
| ~ definitionFOFtoCNF_57
| op(e1,e0) = e1 ) ),
inference(clausify,[],[normalize_7_24]) ).
fof(normalize_7_89,plain,
( op(e1,e1) = e0
| definitionFOFtoCNF_57 ),
inference(conjunct,[],[normalize_7_88]) ).
fof(normalize_7_90,plain,
op(e0,e0) != op(e0,e2),
inference(conjunct,[],[normalize_7_4]) ).
fof(normalize_7_91,plain,
( ( op(e0,e2) != e0
| definitionFOFtoCNF_58 )
& ( op(e0,e0) = e2
| definitionFOFtoCNF_58 )
& ( op(e2,e2) = e0
| definitionFOFtoCNF_58 )
& ( op(e0,e0) != e2
| op(e2,e2) != e0
| ~ definitionFOFtoCNF_58
| op(e0,e2) = e0 ) ),
inference(clausify,[],[normalize_7_26]) ).
fof(normalize_7_92,plain,
( op(e0,e0) = e2
| definitionFOFtoCNF_58 ),
inference(conjunct,[],[normalize_7_91]) ).
fof(normalize_7_93,plain,
( op(e2,e2) = e0
| definitionFOFtoCNF_58 ),
inference(conjunct,[],[normalize_7_91]) ).
fof(normalize_7_94,plain,
op(e3,e0) != op(e3,e2),
inference(conjunct,[],[normalize_7_4]) ).
fof(normalize_7_95,plain,
op(e3,unit) = e3,
inference(conjunct,[],[normalize_7_9]) ).
fof(normalize_7_96,plain,
op(e2,e2) != op(e3,e2),
inference(conjunct,[],[normalize_7_4]) ).
cnf(refute_7_0,plain,
op(op(e1,e2),e2) = e1,
inference(canonicalize,[],[normalize_7_1]) ).
cnf(refute_7_1,plain,
( op(e0,e2) = e3
| op(e1,e2) = e3
| op(e2,e2) = e3
| op(e3,e2) = e3
| op(e4,e2) = e3 ),
inference(canonicalize,[],[normalize_7_3]) ).
cnf(refute_7_2,plain,
op(e4,e1) != op(e4,e2),
inference(canonicalize,[],[normalize_7_5]) ).
cnf(refute_7_3,plain,
e3 = op(e4,op(e4,e4)),
inference(canonicalize,[],[normalize_7_7]) ).
cnf(refute_7_4,plain,
e1 = op(e4,e4),
inference(canonicalize,[],[normalize_7_8]) ).
cnf(refute_7_5,plain,
X = X,
introduced(tautology,[refl,[$fot(X)]]) ).
cnf(refute_7_6,plain,
( X != X
| X != Y
| Y = X ),
introduced(tautology,[equality,[$cnf( $equal(X,X) ),[0],$fot(Y)]]) ).
cnf(refute_7_7,plain,
( X != Y
| Y = X ),
inference(resolve,[$cnf( $equal(X,X) )],[refute_7_5,refute_7_6]) ).
cnf(refute_7_8,plain,
( e1 != op(e4,e4)
| op(e4,e4) = e1 ),
inference(subst,[],[refute_7_7:[bind(X,$fot(e1)),bind(Y,$fot(op(e4,e4)))]]) ).
cnf(refute_7_9,plain,
op(e4,e4) = e1,
inference(resolve,[$cnf( $equal(e1,op(e4,e4)) )],[refute_7_4,refute_7_8]) ).
cnf(refute_7_10,plain,
op(e4,op(e4,e4)) = op(e4,op(e4,e4)),
introduced(tautology,[refl,[$fot(op(e4,op(e4,e4)))]]) ).
cnf(refute_7_11,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_7_12,plain,
( op(e4,e4) != e1
| op(e4,op(e4,e4)) = op(e4,e1) ),
inference(resolve,[$cnf( $equal(op(e4,op(e4,e4)),op(e4,op(e4,e4))) )],[refute_7_10,refute_7_11]) ).
cnf(refute_7_13,plain,
op(e4,op(e4,e4)) = op(e4,e1),
inference(resolve,[$cnf( $equal(op(e4,e4),e1) )],[refute_7_9,refute_7_12]) ).
cnf(refute_7_14,plain,
( e3 != op(e4,op(e4,e4))
| op(e4,op(e4,e4)) != op(e4,e1)
| e3 = op(e4,e1) ),
introduced(tautology,[equality,[$cnf( ~ $equal(e3,op(e4,e1)) ),[0],$fot(op(e4,op(e4,e4)))]]) ).
cnf(refute_7_15,plain,
( e3 != op(e4,op(e4,e4))
| e3 = op(e4,e1) ),
inference(resolve,[$cnf( $equal(op(e4,op(e4,e4)),op(e4,e1)) )],[refute_7_13,refute_7_14]) ).
cnf(refute_7_16,plain,
e3 = op(e4,e1),
inference(resolve,[$cnf( $equal(e3,op(e4,op(e4,e4))) )],[refute_7_3,refute_7_15]) ).
cnf(refute_7_17,plain,
( e3 != op(e4,e1)
| op(e4,e1) = e3 ),
inference(subst,[],[refute_7_7:[bind(X,$fot(e3)),bind(Y,$fot(op(e4,e1)))]]) ).
cnf(refute_7_18,plain,
op(e4,e1) = e3,
inference(resolve,[$cnf( $equal(e3,op(e4,e1)) )],[refute_7_16,refute_7_17]) ).
cnf(refute_7_19,plain,
( e3 != op(e4,e2)
| op(e4,e1) != e3
| op(e4,e1) = op(e4,e2) ),
introduced(tautology,[equality,[$cnf( $equal(op(e4,e1),e3) ),[1],$fot(op(e4,e2))]]) ).
cnf(refute_7_20,plain,
( e3 != op(e4,e2)
| op(e4,e1) = op(e4,e2) ),
inference(resolve,[$cnf( $equal(op(e4,e1),e3) )],[refute_7_18,refute_7_19]) ).
cnf(refute_7_21,plain,
e3 != op(e4,e2),
inference(resolve,[$cnf( $equal(op(e4,e1),op(e4,e2)) )],[refute_7_20,refute_7_2]) ).
cnf(refute_7_22,plain,
( op(e4,e2) != e3
| e3 = op(e4,e2) ),
inference(subst,[],[refute_7_7:[bind(X,$fot(op(e4,e2))),bind(Y,$fot(e3))]]) ).
cnf(refute_7_23,plain,
op(e4,e2) != e3,
inference(resolve,[$cnf( $equal(e3,op(e4,e2)) )],[refute_7_22,refute_7_21]) ).
cnf(refute_7_24,plain,
( op(e0,e2) = e3
| op(e1,e2) = e3
| op(e2,e2) = e3
| op(e3,e2) = e3 ),
inference(resolve,[$cnf( $equal(op(e4,e2),e3) )],[refute_7_1,refute_7_23]) ).
cnf(refute_7_25,plain,
op(unit,e2) = e2,
inference(canonicalize,[],[normalize_7_10]) ).
cnf(refute_7_26,plain,
op(e2,e1) != op(e1,e2),
inference(canonicalize,[],[normalize_7_11]) ).
cnf(refute_7_27,plain,
op(unit,e1) = e1,
inference(canonicalize,[],[normalize_7_12]) ).
cnf(refute_7_28,plain,
op(unit,e4) = e4,
inference(canonicalize,[],[normalize_7_13]) ).
cnf(refute_7_29,plain,
( unit = e0
| unit = e1
| unit = e2
| unit = e3
| unit = e4 ),
inference(canonicalize,[],[normalize_7_14]) ).
cnf(refute_7_30,plain,
( op(unit,e4) != e4
| unit != e1
| op(e1,e4) = e4 ),
introduced(tautology,[equality,[$cnf( $equal(op(unit,e4),e4) ),[0,0],$fot(e1)]]) ).
cnf(refute_7_31,plain,
( op(unit,e4) != e4
| op(e1,e4) = e4
| unit = e0
| unit = e2
| unit = e3
| unit = e4 ),
inference(resolve,[$cnf( $equal(unit,e1) )],[refute_7_29,refute_7_30]) ).
cnf(refute_7_32,plain,
( op(e1,e4) = e4
| unit = e0
| unit = e2
| unit = e3
| unit = e4 ),
inference(resolve,[$cnf( $equal(op(unit,e4),e4) )],[refute_7_28,refute_7_31]) ).
cnf(refute_7_33,plain,
e0 = op(op(e4,e4),e4),
inference(canonicalize,[],[normalize_7_15]) ).
cnf(refute_7_34,plain,
op(op(e4,e4),e4) = op(op(e4,e4),e4),
introduced(tautology,[refl,[$fot(op(op(e4,e4),e4))]]) ).
cnf(refute_7_35,plain,
( op(e4,e4) != e1
| op(op(e4,e4),e4) != op(op(e4,e4),e4)
| op(op(e4,e4),e4) = op(e1,e4) ),
introduced(tautology,[equality,[$cnf( $equal(op(op(e4,e4),e4),op(op(e4,e4),e4)) ),[1,0],$fot(e1)]]) ).
cnf(refute_7_36,plain,
( op(e4,e4) != e1
| op(op(e4,e4),e4) = op(e1,e4) ),
inference(resolve,[$cnf( $equal(op(op(e4,e4),e4),op(op(e4,e4),e4)) )],[refute_7_34,refute_7_35]) ).
cnf(refute_7_37,plain,
op(op(e4,e4),e4) = op(e1,e4),
inference(resolve,[$cnf( $equal(op(e4,e4),e1) )],[refute_7_9,refute_7_36]) ).
cnf(refute_7_38,plain,
( e0 != op(op(e4,e4),e4)
| op(op(e4,e4),e4) != op(e1,e4)
| e0 = op(e1,e4) ),
introduced(tautology,[equality,[$cnf( ~ $equal(e0,op(e1,e4)) ),[0],$fot(op(op(e4,e4),e4))]]) ).
cnf(refute_7_39,plain,
( e0 != op(op(e4,e4),e4)
| e0 = op(e1,e4) ),
inference(resolve,[$cnf( $equal(op(op(e4,e4),e4),op(e1,e4)) )],[refute_7_37,refute_7_38]) ).
cnf(refute_7_40,plain,
e0 = op(e1,e4),
inference(resolve,[$cnf( $equal(e0,op(op(e4,e4),e4)) )],[refute_7_33,refute_7_39]) ).
cnf(refute_7_41,plain,
( e0 != op(e1,e4)
| op(e1,e4) = e0 ),
inference(subst,[],[refute_7_7:[bind(X,$fot(e0)),bind(Y,$fot(op(e1,e4)))]]) ).
cnf(refute_7_42,plain,
op(e1,e4) = e0,
inference(resolve,[$cnf( $equal(e0,op(e1,e4)) )],[refute_7_40,refute_7_41]) ).
cnf(refute_7_43,plain,
( op(e1,e4) != e0
| op(e1,e4) != e4
| e0 = e4 ),
introduced(tautology,[equality,[$cnf( $equal(op(e1,e4),e4) ),[0],$fot(e0)]]) ).
cnf(refute_7_44,plain,
( op(e1,e4) != e4
| e0 = e4 ),
inference(resolve,[$cnf( $equal(op(e1,e4),e0) )],[refute_7_42,refute_7_43]) ).
cnf(refute_7_45,plain,
( e0 = e4
| unit = e0
| unit = e2
| unit = e3
| unit = e4 ),
inference(resolve,[$cnf( $equal(op(e1,e4),e4) )],[refute_7_32,refute_7_44]) ).
cnf(refute_7_46,plain,
e0 != e4,
inference(canonicalize,[],[normalize_7_17]) ).
cnf(refute_7_47,plain,
( unit = e0
| unit = e2
| unit = e3
| unit = e4 ),
inference(resolve,[$cnf( $equal(e0,e4) )],[refute_7_45,refute_7_46]) ).
cnf(refute_7_48,plain,
( op(unit,e4) != e4
| unit != e3
| op(e3,e4) = e4 ),
introduced(tautology,[equality,[$cnf( $equal(op(unit,e4),e4) ),[0,0],$fot(e3)]]) ).
cnf(refute_7_49,plain,
( op(unit,e4) != e4
| op(e3,e4) = e4
| unit = e0
| unit = e2
| unit = e4 ),
inference(resolve,[$cnf( $equal(unit,e3) )],[refute_7_47,refute_7_48]) ).
cnf(refute_7_50,plain,
( op(e3,e4) = e4
| unit = e0
| unit = e2
| unit = e4 ),
inference(resolve,[$cnf( $equal(op(unit,e4),e4) )],[refute_7_28,refute_7_49]) ).
cnf(refute_7_51,plain,
e2 = op(op(e4,op(e4,e4)),e4),
inference(canonicalize,[],[normalize_7_18]) ).
cnf(refute_7_52,plain,
op(op(e4,op(e4,e4)),e4) = op(op(e4,op(e4,e4)),e4),
introduced(tautology,[refl,[$fot(op(op(e4,op(e4,e4)),e4))]]) ).
cnf(refute_7_53,plain,
( op(e4,op(e4,e4)) != op(e4,e1)
| op(op(e4,op(e4,e4)),e4) != op(op(e4,op(e4,e4)),e4)
| op(op(e4,op(e4,e4)),e4) = op(op(e4,e1),e4) ),
introduced(tautology,[equality,[$cnf( $equal(op(op(e4,op(e4,e4)),e4),op(op(e4,op(e4,e4)),e4)) ),[1,0],$fot(op(e4,e1))]]) ).
cnf(refute_7_54,plain,
( op(e4,op(e4,e4)) != op(e4,e1)
| op(op(e4,op(e4,e4)),e4) = op(op(e4,e1),e4) ),
inference(resolve,[$cnf( $equal(op(op(e4,op(e4,e4)),e4),op(op(e4,op(e4,e4)),e4)) )],[refute_7_52,refute_7_53]) ).
cnf(refute_7_55,plain,
op(op(e4,op(e4,e4)),e4) = op(op(e4,e1),e4),
inference(resolve,[$cnf( $equal(op(e4,op(e4,e4)),op(e4,e1)) )],[refute_7_13,refute_7_54]) ).
cnf(refute_7_56,plain,
( e2 != op(op(e4,op(e4,e4)),e4)
| op(op(e4,op(e4,e4)),e4) != op(op(e4,e1),e4)
| e2 = op(op(e4,e1),e4) ),
introduced(tautology,[equality,[$cnf( ~ $equal(e2,op(op(e4,e1),e4)) ),[0],$fot(op(op(e4,op(e4,e4)),e4))]]) ).
cnf(refute_7_57,plain,
( e2 != op(op(e4,op(e4,e4)),e4)
| e2 = op(op(e4,e1),e4) ),
inference(resolve,[$cnf( $equal(op(op(e4,op(e4,e4)),e4),op(op(e4,e1),e4)) )],[refute_7_55,refute_7_56]) ).
cnf(refute_7_58,plain,
e2 = op(op(e4,e1),e4),
inference(resolve,[$cnf( $equal(e2,op(op(e4,op(e4,e4)),e4)) )],[refute_7_51,refute_7_57]) ).
cnf(refute_7_59,plain,
op(op(e4,e1),e4) = op(op(e4,e1),e4),
introduced(tautology,[refl,[$fot(op(op(e4,e1),e4))]]) ).
cnf(refute_7_60,plain,
( op(e4,e1) != e3
| op(op(e4,e1),e4) != op(op(e4,e1),e4)
| op(op(e4,e1),e4) = op(e3,e4) ),
introduced(tautology,[equality,[$cnf( $equal(op(op(e4,e1),e4),op(op(e4,e1),e4)) ),[1,0],$fot(e3)]]) ).
cnf(refute_7_61,plain,
( op(e4,e1) != e3
| op(op(e4,e1),e4) = op(e3,e4) ),
inference(resolve,[$cnf( $equal(op(op(e4,e1),e4),op(op(e4,e1),e4)) )],[refute_7_59,refute_7_60]) ).
cnf(refute_7_62,plain,
op(op(e4,e1),e4) = op(e3,e4),
inference(resolve,[$cnf( $equal(op(e4,e1),e3) )],[refute_7_18,refute_7_61]) ).
cnf(refute_7_63,plain,
( e2 != op(op(e4,e1),e4)
| op(op(e4,e1),e4) != op(e3,e4)
| e2 = op(e3,e4) ),
introduced(tautology,[equality,[$cnf( ~ $equal(e2,op(e3,e4)) ),[0],$fot(op(op(e4,e1),e4))]]) ).
cnf(refute_7_64,plain,
( e2 != op(op(e4,e1),e4)
| e2 = op(e3,e4) ),
inference(resolve,[$cnf( $equal(op(op(e4,e1),e4),op(e3,e4)) )],[refute_7_62,refute_7_63]) ).
cnf(refute_7_65,plain,
e2 = op(e3,e4),
inference(resolve,[$cnf( $equal(e2,op(op(e4,e1),e4)) )],[refute_7_58,refute_7_64]) ).
cnf(refute_7_66,plain,
( e2 != op(e3,e4)
| op(e3,e4) = e2 ),
inference(subst,[],[refute_7_7:[bind(X,$fot(e2)),bind(Y,$fot(op(e3,e4)))]]) ).
cnf(refute_7_67,plain,
op(e3,e4) = e2,
inference(resolve,[$cnf( $equal(e2,op(e3,e4)) )],[refute_7_65,refute_7_66]) ).
cnf(refute_7_68,plain,
( op(e3,e4) != e2
| op(e3,e4) != e4
| e2 = e4 ),
introduced(tautology,[equality,[$cnf( $equal(op(e3,e4),e4) ),[0],$fot(e2)]]) ).
cnf(refute_7_69,plain,
( op(e3,e4) != e4
| e2 = e4 ),
inference(resolve,[$cnf( $equal(op(e3,e4),e2) )],[refute_7_67,refute_7_68]) ).
cnf(refute_7_70,plain,
( e2 = e4
| unit = e0
| unit = e2
| unit = e4 ),
inference(resolve,[$cnf( $equal(op(e3,e4),e4) )],[refute_7_50,refute_7_69]) ).
cnf(refute_7_71,plain,
e2 != e4,
inference(canonicalize,[],[normalize_7_19]) ).
cnf(refute_7_72,plain,
( unit = e0
| unit = e2
| unit = e4 ),
inference(resolve,[$cnf( $equal(e2,e4) )],[refute_7_70,refute_7_71]) ).
cnf(refute_7_73,plain,
( op(unit,e4) != e4
| unit != e4
| op(e4,e4) = e4 ),
introduced(tautology,[equality,[$cnf( $equal(op(unit,e4),e4) ),[0,0],$fot(e4)]]) ).
cnf(refute_7_74,plain,
( op(unit,e4) != e4
| op(e4,e4) = e4
| unit = e0
| unit = e2 ),
inference(resolve,[$cnf( $equal(unit,e4) )],[refute_7_72,refute_7_73]) ).
cnf(refute_7_75,plain,
( op(e4,e4) = e4
| unit = e0
| unit = e2 ),
inference(resolve,[$cnf( $equal(op(unit,e4),e4) )],[refute_7_28,refute_7_74]) ).
cnf(refute_7_76,plain,
( op(e4,e4) != e1
| op(e4,e4) != e4
| e1 = e4 ),
introduced(tautology,[equality,[$cnf( $equal(op(e4,e4),e4) ),[0],$fot(e1)]]) ).
cnf(refute_7_77,plain,
( op(e4,e4) != e4
| e1 = e4 ),
inference(resolve,[$cnf( $equal(op(e4,e4),e1) )],[refute_7_9,refute_7_76]) ).
cnf(refute_7_78,plain,
( e1 = e4
| unit = e0
| unit = e2 ),
inference(resolve,[$cnf( $equal(op(e4,e4),e4) )],[refute_7_75,refute_7_77]) ).
cnf(refute_7_79,plain,
e1 != e4,
inference(canonicalize,[],[normalize_7_20]) ).
cnf(refute_7_80,plain,
( unit = e0
| unit = e2 ),
inference(resolve,[$cnf( $equal(e1,e4) )],[refute_7_78,refute_7_79]) ).
cnf(refute_7_81,plain,
( op(unit,e1) != e1
| unit != e2
| op(e2,e1) = e1 ),
introduced(tautology,[equality,[$cnf( $equal(op(unit,e1),e1) ),[0,0],$fot(e2)]]) ).
cnf(refute_7_82,plain,
( op(unit,e1) != e1
| op(e2,e1) = e1
| unit = e0 ),
inference(resolve,[$cnf( $equal(unit,e2) )],[refute_7_80,refute_7_81]) ).
cnf(refute_7_83,plain,
( op(e2,e1) = e1
| unit = e0 ),
inference(resolve,[$cnf( $equal(op(unit,e1),e1) )],[refute_7_27,refute_7_82]) ).
cnf(refute_7_84,plain,
( e1 != op(e1,e2)
| op(e2,e1) != e1
| op(e2,e1) = op(e1,e2) ),
introduced(tautology,[equality,[$cnf( $equal(op(e2,e1),e1) ),[1],$fot(op(e1,e2))]]) ).
cnf(refute_7_85,plain,
( e1 != op(e1,e2)
| op(e2,e1) = op(e1,e2)
| unit = e0 ),
inference(resolve,[$cnf( $equal(op(e2,e1),e1) )],[refute_7_83,refute_7_84]) ).
cnf(refute_7_86,plain,
( e1 != op(e1,e2)
| unit = e0 ),
inference(resolve,[$cnf( $equal(op(e2,e1),op(e1,e2)) )],[refute_7_85,refute_7_26]) ).
cnf(refute_7_87,plain,
op(e1,unit) = e1,
inference(canonicalize,[],[normalize_7_21]) ).
cnf(refute_7_88,plain,
( op(e1,unit) != e1
| unit != e2
| op(e1,e2) = e1 ),
introduced(tautology,[equality,[$cnf( $equal(op(e1,unit),e1) ),[0,1],$fot(e2)]]) ).
cnf(refute_7_89,plain,
( op(e1,unit) != e1
| op(e1,e2) = e1
| unit = e0 ),
inference(resolve,[$cnf( $equal(unit,e2) )],[refute_7_80,refute_7_88]) ).
cnf(refute_7_90,plain,
( op(e1,e2) = e1
| unit = e0 ),
inference(resolve,[$cnf( $equal(op(e1,unit),e1) )],[refute_7_87,refute_7_89]) ).
cnf(refute_7_91,plain,
( e1 != e1
| op(e1,e2) != e1
| e1 = op(e1,e2) ),
introduced(tautology,[equality,[$cnf( ~ $equal(e1,op(e1,e2)) ),[1],$fot(e1)]]) ).
cnf(refute_7_92,plain,
( e1 != e1
| e1 = op(e1,e2)
| unit = e0 ),
inference(resolve,[$cnf( $equal(op(e1,e2),e1) )],[refute_7_90,refute_7_91]) ).
cnf(refute_7_93,plain,
( e1 != e1
| unit = e0 ),
inference(resolve,[$cnf( $equal(e1,op(e1,e2)) )],[refute_7_92,refute_7_86]) ).
cnf(refute_7_94,plain,
e1 = e1,
introduced(tautology,[refl,[$fot(e1)]]) ).
cnf(refute_7_95,plain,
unit = e0,
inference(resolve,[$cnf( $equal(e1,e1) )],[refute_7_94,refute_7_93]) ).
cnf(refute_7_96,plain,
op(unit,e2) = op(unit,e2),
introduced(tautology,[refl,[$fot(op(unit,e2))]]) ).
cnf(refute_7_97,plain,
( op(unit,e2) != op(unit,e2)
| unit != e0
| op(unit,e2) = op(e0,e2) ),
introduced(tautology,[equality,[$cnf( $equal(op(unit,e2),op(unit,e2)) ),[1,0],$fot(e0)]]) ).
cnf(refute_7_98,plain,
( unit != e0
| op(unit,e2) = op(e0,e2) ),
inference(resolve,[$cnf( $equal(op(unit,e2),op(unit,e2)) )],[refute_7_96,refute_7_97]) ).
cnf(refute_7_99,plain,
op(unit,e2) = op(e0,e2),
inference(resolve,[$cnf( $equal(unit,e0) )],[refute_7_95,refute_7_98]) ).
cnf(refute_7_100,plain,
( op(unit,e2) != e2
| op(unit,e2) != op(e0,e2)
| op(e0,e2) = e2 ),
introduced(tautology,[equality,[$cnf( $equal(op(unit,e2),e2) ),[0],$fot(op(e0,e2))]]) ).
cnf(refute_7_101,plain,
( op(unit,e2) != e2
| op(e0,e2) = e2 ),
inference(resolve,[$cnf( $equal(op(unit,e2),op(e0,e2)) )],[refute_7_99,refute_7_100]) ).
cnf(refute_7_102,plain,
op(e0,e2) = e2,
inference(resolve,[$cnf( $equal(op(unit,e2),e2) )],[refute_7_25,refute_7_101]) ).
cnf(refute_7_103,plain,
( op(e0,e2) != e2
| op(e0,e2) != e3
| e2 = e3 ),
introduced(tautology,[equality,[$cnf( $equal(op(e0,e2),e3) ),[0],$fot(e2)]]) ).
cnf(refute_7_104,plain,
( op(e0,e2) != e3
| e2 = e3 ),
inference(resolve,[$cnf( $equal(op(e0,e2),e2) )],[refute_7_102,refute_7_103]) ).
cnf(refute_7_105,plain,
( e2 = e3
| op(e1,e2) = e3
| op(e2,e2) = e3
| op(e3,e2) = e3 ),
inference(resolve,[$cnf( $equal(op(e0,e2),e3) )],[refute_7_24,refute_7_104]) ).
cnf(refute_7_106,plain,
( ~ definitionFOFtoCNF_55
| ~ definitionFOFtoCNF_56
| ~ definitionFOFtoCNF_59
| ~ definitionFOFtoCNF_60
| op(e2,e2) = e1 ),
inference(canonicalize,[],[normalize_7_34]) ).
cnf(refute_7_107,plain,
( op(e4,e4) = e0
| definitionFOFtoCNF_60 ),
inference(canonicalize,[],[normalize_7_36]) ).
cnf(refute_7_108,plain,
( op(e4,e4) != e0
| op(e4,e4) != e1
| e1 = e0 ),
introduced(tautology,[equality,[$cnf( $equal(op(e4,e4),e0) ),[0],$fot(e1)]]) ).
cnf(refute_7_109,plain,
( op(e4,e4) != e0
| e1 = e0 ),
inference(resolve,[$cnf( $equal(op(e4,e4),e1) )],[refute_7_9,refute_7_108]) ).
cnf(refute_7_110,plain,
( e1 = e0
| definitionFOFtoCNF_60 ),
inference(resolve,[$cnf( $equal(op(e4,e4),e0) )],[refute_7_107,refute_7_109]) ).
cnf(refute_7_111,plain,
e0 != e1,
inference(canonicalize,[],[normalize_7_37]) ).
cnf(refute_7_112,plain,
( e1 != e0
| e0 = e1 ),
inference(subst,[],[refute_7_7:[bind(X,$fot(e1)),bind(Y,$fot(e0))]]) ).
cnf(refute_7_113,plain,
e1 != e0,
inference(resolve,[$cnf( $equal(e0,e1) )],[refute_7_112,refute_7_111]) ).
cnf(refute_7_114,plain,
definitionFOFtoCNF_60,
inference(resolve,[$cnf( $equal(e1,e0) )],[refute_7_110,refute_7_113]) ).
cnf(refute_7_115,plain,
( ~ definitionFOFtoCNF_55
| ~ definitionFOFtoCNF_56
| ~ definitionFOFtoCNF_59
| op(e2,e2) = e1 ),
inference(resolve,[$cnf( definitionFOFtoCNF_60 )],[refute_7_114,refute_7_106]) ).
cnf(refute_7_116,plain,
( op(e1,e1) = e3
| op(e1,e1) = e4
| definitionFOFtoCNF_59 ),
inference(canonicalize,[],[normalize_7_39]) ).
cnf(refute_7_117,plain,
op(e1,e1) != op(e4,e1),
inference(canonicalize,[],[normalize_7_40]) ).
cnf(refute_7_118,plain,
( op(e1,e1) != e3
| op(e4,e1) != e3
| op(e1,e1) = op(e4,e1) ),
introduced(tautology,[equality,[$cnf( ~ $equal(op(e1,e1),op(e4,e1)) ),[1],$fot(e3)]]) ).
cnf(refute_7_119,plain,
( op(e1,e1) != e3
| op(e1,e1) = op(e4,e1) ),
inference(resolve,[$cnf( $equal(op(e4,e1),e3) )],[refute_7_18,refute_7_118]) ).
cnf(refute_7_120,plain,
op(e1,e1) != e3,
inference(resolve,[$cnf( $equal(op(e1,e1),op(e4,e1)) )],[refute_7_119,refute_7_117]) ).
cnf(refute_7_121,plain,
( op(e1,e1) = e4
| definitionFOFtoCNF_59 ),
inference(resolve,[$cnf( $equal(op(e1,e1),e3) )],[refute_7_116,refute_7_120]) ).
cnf(refute_7_122,plain,
( op(e0,e1) = e2
| op(e1,e1) = e2
| op(e2,e1) = e2
| op(e3,e1) = e2
| op(e4,e1) = e2 ),
inference(canonicalize,[],[normalize_7_41]) ).
cnf(refute_7_123,plain,
( op(e4,e1) != e2
| op(e4,e1) != e3
| e3 = e2 ),
introduced(tautology,[equality,[$cnf( $equal(op(e4,e1),e2) ),[0],$fot(e3)]]) ).
cnf(refute_7_124,plain,
( op(e4,e1) != e2
| e3 = e2 ),
inference(resolve,[$cnf( $equal(op(e4,e1),e3) )],[refute_7_18,refute_7_123]) ).
cnf(refute_7_125,plain,
( e3 = e2
| op(e0,e1) = e2
| op(e1,e1) = e2
| op(e2,e1) = e2
| op(e3,e1) = e2 ),
inference(resolve,[$cnf( $equal(op(e4,e1),e2) )],[refute_7_122,refute_7_124]) ).
cnf(refute_7_126,plain,
e2 != e3,
inference(canonicalize,[],[normalize_7_42]) ).
cnf(refute_7_127,plain,
( e3 != e2
| e2 = e3 ),
inference(subst,[],[refute_7_7:[bind(X,$fot(e3)),bind(Y,$fot(e2))]]) ).
cnf(refute_7_128,plain,
e3 != e2,
inference(resolve,[$cnf( $equal(e2,e3) )],[refute_7_127,refute_7_126]) ).
cnf(refute_7_129,plain,
( op(e0,e1) = e2
| op(e1,e1) = e2
| op(e2,e1) = e2
| op(e3,e1) = e2 ),
inference(resolve,[$cnf( $equal(e3,e2) )],[refute_7_125,refute_7_128]) ).
cnf(refute_7_130,plain,
op(e3,e1) != op(e3,e4),
inference(canonicalize,[],[normalize_7_43]) ).
cnf(refute_7_131,plain,
( op(e3,e1) != e2
| op(e3,e4) != e2
| op(e3,e1) = op(e3,e4) ),
introduced(tautology,[equality,[$cnf( ~ $equal(op(e3,e1),op(e3,e4)) ),[1],$fot(e2)]]) ).
cnf(refute_7_132,plain,
( op(e3,e1) != e2
| op(e3,e1) = op(e3,e4) ),
inference(resolve,[$cnf( $equal(op(e3,e4),e2) )],[refute_7_67,refute_7_131]) ).
cnf(refute_7_133,plain,
op(e3,e1) != e2,
inference(resolve,[$cnf( $equal(op(e3,e1),op(e3,e4)) )],[refute_7_132,refute_7_130]) ).
cnf(refute_7_134,plain,
( op(e0,e1) = e2
| op(e1,e1) = e2
| op(e2,e1) = e2 ),
inference(resolve,[$cnf( $equal(op(e3,e1),e2) )],[refute_7_129,refute_7_133]) ).
cnf(refute_7_135,plain,
op(unit,e1) = op(unit,e1),
introduced(tautology,[refl,[$fot(op(unit,e1))]]) ).
cnf(refute_7_136,plain,
( op(unit,e1) != op(unit,e1)
| unit != e0
| op(unit,e1) = op(e0,e1) ),
introduced(tautology,[equality,[$cnf( $equal(op(unit,e1),op(unit,e1)) ),[1,0],$fot(e0)]]) ).
cnf(refute_7_137,plain,
( unit != e0
| op(unit,e1) = op(e0,e1) ),
inference(resolve,[$cnf( $equal(op(unit,e1),op(unit,e1)) )],[refute_7_135,refute_7_136]) ).
cnf(refute_7_138,plain,
op(unit,e1) = op(e0,e1),
inference(resolve,[$cnf( $equal(unit,e0) )],[refute_7_95,refute_7_137]) ).
cnf(refute_7_139,plain,
( op(unit,e1) != e1
| op(unit,e1) != op(e0,e1)
| op(e0,e1) = e1 ),
introduced(tautology,[equality,[$cnf( $equal(op(unit,e1),e1) ),[0],$fot(op(e0,e1))]]) ).
cnf(refute_7_140,plain,
( op(unit,e1) != e1
| op(e0,e1) = e1 ),
inference(resolve,[$cnf( $equal(op(unit,e1),op(e0,e1)) )],[refute_7_138,refute_7_139]) ).
cnf(refute_7_141,plain,
op(e0,e1) = e1,
inference(resolve,[$cnf( $equal(op(unit,e1),e1) )],[refute_7_27,refute_7_140]) ).
cnf(refute_7_142,plain,
( op(e0,e1) != e1
| op(e0,e1) != e2
| e1 = e2 ),
introduced(tautology,[equality,[$cnf( $equal(op(e0,e1),e2) ),[0],$fot(e1)]]) ).
cnf(refute_7_143,plain,
( op(e0,e1) != e2
| e1 = e2 ),
inference(resolve,[$cnf( $equal(op(e0,e1),e1) )],[refute_7_141,refute_7_142]) ).
cnf(refute_7_144,plain,
( e1 = e2
| op(e1,e1) = e2
| op(e2,e1) = e2 ),
inference(resolve,[$cnf( $equal(op(e0,e1),e2) )],[refute_7_134,refute_7_143]) ).
cnf(refute_7_145,plain,
e1 != e2,
inference(canonicalize,[],[normalize_7_44]) ).
cnf(refute_7_146,plain,
( op(e1,e1) = e2
| op(e2,e1) = e2 ),
inference(resolve,[$cnf( $equal(e1,e2) )],[refute_7_144,refute_7_145]) ).
cnf(refute_7_147,plain,
op(e2,e0) != op(e2,e1),
inference(canonicalize,[],[normalize_7_45]) ).
cnf(refute_7_148,plain,
op(e2,unit) = e2,
inference(canonicalize,[],[normalize_7_46]) ).
cnf(refute_7_149,plain,
op(e2,unit) = op(e2,unit),
introduced(tautology,[refl,[$fot(op(e2,unit))]]) ).
cnf(refute_7_150,plain,
( op(e2,unit) != op(e2,unit)
| unit != e0
| op(e2,unit) = op(e2,e0) ),
introduced(tautology,[equality,[$cnf( $equal(op(e2,unit),op(e2,unit)) ),[1,1],$fot(e0)]]) ).
cnf(refute_7_151,plain,
( unit != e0
| op(e2,unit) = op(e2,e0) ),
inference(resolve,[$cnf( $equal(op(e2,unit),op(e2,unit)) )],[refute_7_149,refute_7_150]) ).
cnf(refute_7_152,plain,
op(e2,unit) = op(e2,e0),
inference(resolve,[$cnf( $equal(unit,e0) )],[refute_7_95,refute_7_151]) ).
cnf(refute_7_153,plain,
( op(e2,unit) != e2
| op(e2,unit) != op(e2,e0)
| op(e2,e0) = e2 ),
introduced(tautology,[equality,[$cnf( $equal(op(e2,unit),e2) ),[0],$fot(op(e2,e0))]]) ).
cnf(refute_7_154,plain,
( op(e2,unit) != e2
| op(e2,e0) = e2 ),
inference(resolve,[$cnf( $equal(op(e2,unit),op(e2,e0)) )],[refute_7_152,refute_7_153]) ).
cnf(refute_7_155,plain,
op(e2,e0) = e2,
inference(resolve,[$cnf( $equal(op(e2,unit),e2) )],[refute_7_148,refute_7_154]) ).
cnf(refute_7_156,plain,
( e2 != op(e2,e1)
| op(e2,e0) != e2
| op(e2,e0) = op(e2,e1) ),
introduced(tautology,[equality,[$cnf( $equal(op(e2,e0),e2) ),[1],$fot(op(e2,e1))]]) ).
cnf(refute_7_157,plain,
( e2 != op(e2,e1)
| op(e2,e0) = op(e2,e1) ),
inference(resolve,[$cnf( $equal(op(e2,e0),e2) )],[refute_7_155,refute_7_156]) ).
cnf(refute_7_158,plain,
e2 != op(e2,e1),
inference(resolve,[$cnf( $equal(op(e2,e0),op(e2,e1)) )],[refute_7_157,refute_7_147]) ).
cnf(refute_7_159,plain,
( op(e2,e1) != e2
| e2 = op(e2,e1) ),
inference(subst,[],[refute_7_7:[bind(X,$fot(op(e2,e1))),bind(Y,$fot(e2))]]) ).
cnf(refute_7_160,plain,
op(e2,e1) != e2,
inference(resolve,[$cnf( $equal(e2,op(e2,e1)) )],[refute_7_159,refute_7_158]) ).
cnf(refute_7_161,plain,
op(e1,e1) = e2,
inference(resolve,[$cnf( $equal(op(e2,e1),e2) )],[refute_7_146,refute_7_160]) ).
cnf(refute_7_162,plain,
( op(e1,e1) != e2
| op(e1,e1) != e4
| e2 = e4 ),
introduced(tautology,[equality,[$cnf( $equal(op(e1,e1),e4) ),[0],$fot(e2)]]) ).
cnf(refute_7_163,plain,
( op(e1,e1) != e4
| e2 = e4 ),
inference(resolve,[$cnf( $equal(op(e1,e1),e2) )],[refute_7_161,refute_7_162]) ).
cnf(refute_7_164,plain,
( e2 = e4
| definitionFOFtoCNF_59 ),
inference(resolve,[$cnf( $equal(op(e1,e1),e4) )],[refute_7_121,refute_7_163]) ).
cnf(refute_7_165,plain,
definitionFOFtoCNF_59,
inference(resolve,[$cnf( $equal(e2,e4) )],[refute_7_164,refute_7_71]) ).
cnf(refute_7_166,plain,
( ~ definitionFOFtoCNF_55
| ~ definitionFOFtoCNF_56
| op(e2,e2) = e1 ),
inference(resolve,[$cnf( definitionFOFtoCNF_59 )],[refute_7_165,refute_7_115]) ).
cnf(refute_7_167,plain,
op(e2,e2) != op(e2,e3),
inference(canonicalize,[],[normalize_7_47]) ).
cnf(refute_7_168,plain,
op(unit,e3) = e3,
inference(canonicalize,[],[normalize_7_48]) ).
cnf(refute_7_169,plain,
( op(unit,e3) != e3
| unit != e2
| op(e2,e3) = e3 ),
introduced(tautology,[equality,[$cnf( $equal(op(unit,e3),e3) ),[0,0],$fot(e2)]]) ).
cnf(refute_7_170,plain,
( op(unit,e3) != e3
| op(e2,e3) = e3
| unit = e0 ),
inference(resolve,[$cnf( $equal(unit,e2) )],[refute_7_80,refute_7_169]) ).
cnf(refute_7_171,plain,
( op(e2,e3) = e3
| unit = e0 ),
inference(resolve,[$cnf( $equal(op(unit,e3),e3) )],[refute_7_168,refute_7_170]) ).
cnf(refute_7_172,plain,
( op(e2,e2) != e3
| op(e2,e3) != e3
| op(e2,e2) = op(e2,e3) ),
introduced(tautology,[equality,[$cnf( ~ $equal(op(e2,e2),op(e2,e3)) ),[1],$fot(e3)]]) ).
cnf(refute_7_173,plain,
( op(e2,e2) != e3
| op(e2,e2) = op(e2,e3)
| unit = e0 ),
inference(resolve,[$cnf( $equal(op(e2,e3),e3) )],[refute_7_171,refute_7_172]) ).
cnf(refute_7_174,plain,
( op(e2,e2) != e3
| unit = e0 ),
inference(resolve,[$cnf( $equal(op(e2,e2),op(e2,e3)) )],[refute_7_173,refute_7_167]) ).
cnf(refute_7_175,plain,
( definitionFOFtoCNF_55
| definitionFOFtoCNF_59 ),
inference(canonicalize,[],[normalize_7_49]) ).
cnf(refute_7_176,plain,
( op(e1,e1) != e4
| op(e4,e4) != e1
| ~ definitionFOFtoCNF_59
| op(e1,e4) = e1 ),
inference(canonicalize,[],[normalize_7_50]) ).
cnf(refute_7_177,plain,
( e1 != e1
| op(e4,e4) != e1
| op(e4,e4) = e1 ),
introduced(tautology,[equality,[$cnf( $equal(op(e4,e4),e1) ),[1],$fot(e1)]]) ).
cnf(refute_7_178,plain,
( e1 != e1
| op(e4,e4) = e1 ),
inference(resolve,[$cnf( $equal(op(e4,e4),e1) )],[refute_7_9,refute_7_177]) ).
cnf(refute_7_179,plain,
( e1 != e1
| op(e1,e1) != e4
| ~ definitionFOFtoCNF_59
| op(e1,e4) = e1 ),
inference(resolve,[$cnf( $equal(op(e4,e4),e1) )],[refute_7_178,refute_7_176]) ).
cnf(refute_7_180,plain,
( op(e1,e4) != e0
| op(e1,e4) != e1
| e0 = e1 ),
introduced(tautology,[equality,[$cnf( $equal(op(e1,e4),e1) ),[0],$fot(e0)]]) ).
cnf(refute_7_181,plain,
( op(e1,e4) != e1
| e0 = e1 ),
inference(resolve,[$cnf( $equal(op(e1,e4),e0) )],[refute_7_42,refute_7_180]) ).
cnf(refute_7_182,plain,
( e1 != e1
| op(e1,e1) != e4
| ~ definitionFOFtoCNF_59
| e0 = e1 ),
inference(resolve,[$cnf( $equal(op(e1,e4),e1) )],[refute_7_179,refute_7_181]) ).
cnf(refute_7_183,plain,
( op(e1,e1) != e4
| ~ definitionFOFtoCNF_59
| e0 = e1 ),
inference(resolve,[$cnf( $equal(e1,e1) )],[refute_7_94,refute_7_182]) ).
cnf(refute_7_184,plain,
( op(e1,e1) != e4
| ~ definitionFOFtoCNF_59 ),
inference(resolve,[$cnf( $equal(e0,e1) )],[refute_7_183,refute_7_111]) ).
cnf(refute_7_185,plain,
( op(e1,e1) = e4
| op(e4,e4) = e0
| definitionFOFtoCNF_61
| definitionFOFtoCNF_64
| definitionFOFtoCNF_65 ),
inference(canonicalize,[],[normalize_7_64]) ).
cnf(refute_7_186,plain,
( e1 = e0
| op(e1,e1) = e4
| definitionFOFtoCNF_61
| definitionFOFtoCNF_64
| definitionFOFtoCNF_65 ),
inference(resolve,[$cnf( $equal(op(e4,e4),e0) )],[refute_7_185,refute_7_109]) ).
cnf(refute_7_187,plain,
( op(e1,e1) = e4
| definitionFOFtoCNF_61
| definitionFOFtoCNF_64
| definitionFOFtoCNF_65 ),
inference(resolve,[$cnf( $equal(e1,e0) )],[refute_7_186,refute_7_113]) ).
cnf(refute_7_188,plain,
( ~ definitionFOFtoCNF_64
| op(e4,e4) = e2
| op(e4,e4) = e3 ),
inference(canonicalize,[],[normalize_7_66]) ).
cnf(refute_7_189,plain,
( op(e4,e4) != e1
| op(e4,e4) != e2
| e1 = e2 ),
introduced(tautology,[equality,[$cnf( $equal(op(e4,e4),e2) ),[0],$fot(e1)]]) ).
cnf(refute_7_190,plain,
( op(e4,e4) != e2
| e1 = e2 ),
inference(resolve,[$cnf( $equal(op(e4,e4),e1) )],[refute_7_9,refute_7_189]) ).
cnf(refute_7_191,plain,
( ~ definitionFOFtoCNF_64
| e1 = e2
| op(e4,e4) = e3 ),
inference(resolve,[$cnf( $equal(op(e4,e4),e2) )],[refute_7_188,refute_7_190]) ).
cnf(refute_7_192,plain,
( op(e4,e4) != e1
| op(e4,e4) != e3
| e1 = e3 ),
introduced(tautology,[equality,[$cnf( $equal(op(e4,e4),e3) ),[0],$fot(e1)]]) ).
cnf(refute_7_193,plain,
( op(e4,e4) != e3
| e1 = e3 ),
inference(resolve,[$cnf( $equal(op(e4,e4),e1) )],[refute_7_9,refute_7_192]) ).
cnf(refute_7_194,plain,
( ~ definitionFOFtoCNF_64
| e1 = e2
| e1 = e3 ),
inference(resolve,[$cnf( $equal(op(e4,e4),e3) )],[refute_7_191,refute_7_193]) ).
cnf(refute_7_195,plain,
( ~ definitionFOFtoCNF_64
| e1 = e3 ),
inference(resolve,[$cnf( $equal(e1,e2) )],[refute_7_194,refute_7_145]) ).
cnf(refute_7_196,plain,
op(e4,e1) != op(e4,e4),
inference(canonicalize,[],[normalize_7_67]) ).
cnf(refute_7_197,plain,
( e3 != op(e4,e4)
| op(e4,e1) != e3
| op(e4,e1) = op(e4,e4) ),
introduced(tautology,[equality,[$cnf( $equal(op(e4,e1),e3) ),[1],$fot(op(e4,e4))]]) ).
cnf(refute_7_198,plain,
( e3 != op(e4,e4)
| op(e4,e1) = op(e4,e4) ),
inference(resolve,[$cnf( $equal(op(e4,e1),e3) )],[refute_7_18,refute_7_197]) ).
cnf(refute_7_199,plain,
( e3 != e1
| op(e4,e4) != e1
| e3 = op(e4,e4) ),
introduced(tautology,[equality,[$cnf( ~ $equal(e3,op(e4,e4)) ),[1],$fot(e1)]]) ).
cnf(refute_7_200,plain,
( e3 != e1
| e3 = op(e4,e4) ),
inference(resolve,[$cnf( $equal(op(e4,e4),e1) )],[refute_7_9,refute_7_199]) ).
cnf(refute_7_201,plain,
( e3 != e1
| op(e4,e1) = op(e4,e4) ),
inference(resolve,[$cnf( $equal(e3,op(e4,e4)) )],[refute_7_200,refute_7_198]) ).
cnf(refute_7_202,plain,
e3 != e1,
inference(resolve,[$cnf( $equal(op(e4,e1),op(e4,e4)) )],[refute_7_201,refute_7_196]) ).
cnf(refute_7_203,plain,
( e1 != e3
| e3 = e1 ),
inference(subst,[],[refute_7_7:[bind(X,$fot(e1)),bind(Y,$fot(e3))]]) ).
cnf(refute_7_204,plain,
e1 != e3,
inference(resolve,[$cnf( $equal(e3,e1) )],[refute_7_203,refute_7_202]) ).
cnf(refute_7_205,plain,
~ definitionFOFtoCNF_64,
inference(resolve,[$cnf( $equal(e1,e3) )],[refute_7_195,refute_7_204]) ).
cnf(refute_7_206,plain,
( op(e1,e1) = e4
| definitionFOFtoCNF_61
| definitionFOFtoCNF_65 ),
inference(resolve,[$cnf( definitionFOFtoCNF_64 )],[refute_7_187,refute_7_205]) ).
cnf(refute_7_207,plain,
( ~ definitionFOFtoCNF_65
| op(e4,e4) = e3 ),
inference(canonicalize,[],[normalize_7_69]) ).
cnf(refute_7_208,plain,
( ~ definitionFOFtoCNF_65
| e1 = e3 ),
inference(resolve,[$cnf( $equal(op(e4,e4),e3) )],[refute_7_207,refute_7_193]) ).
cnf(refute_7_209,plain,
~ definitionFOFtoCNF_65,
inference(resolve,[$cnf( $equal(e1,e3) )],[refute_7_208,refute_7_204]) ).
cnf(refute_7_210,plain,
( op(e1,e1) = e4
| definitionFOFtoCNF_61 ),
inference(resolve,[$cnf( definitionFOFtoCNF_65 )],[refute_7_206,refute_7_209]) ).
cnf(refute_7_211,plain,
( e4 != e4
| op(e1,e1) != e4
| op(e1,e1) = e4 ),
introduced(tautology,[equality,[$cnf( $equal(op(e1,e1),e4) ),[1],$fot(e4)]]) ).
cnf(refute_7_212,plain,
( e4 != e4
| op(e1,e1) = e4
| definitionFOFtoCNF_61 ),
inference(resolve,[$cnf( $equal(op(e1,e1),e4) )],[refute_7_210,refute_7_211]) ).
cnf(refute_7_213,plain,
( e4 != e4
| ~ definitionFOFtoCNF_59
| definitionFOFtoCNF_61 ),
inference(resolve,[$cnf( $equal(op(e1,e1),e4) )],[refute_7_212,refute_7_184]) ).
cnf(refute_7_214,plain,
e4 = e4,
introduced(tautology,[refl,[$fot(e4)]]) ).
cnf(refute_7_215,plain,
( ~ definitionFOFtoCNF_59
| definitionFOFtoCNF_61 ),
inference(resolve,[$cnf( $equal(e4,e4) )],[refute_7_214,refute_7_213]) ).
cnf(refute_7_216,plain,
( definitionFOFtoCNF_55
| definitionFOFtoCNF_61 ),
inference(resolve,[$cnf( definitionFOFtoCNF_59 )],[refute_7_175,refute_7_215]) ).
cnf(refute_7_217,plain,
( ~ definitionFOFtoCNF_61
| ~ definitionFOFtoCNF_62
| ~ definitionFOFtoCNF_63
| op(e1,e1) = e3
| op(e2,e2) = e3
| definitionFOFtoCNF_55 ),
inference(canonicalize,[],[normalize_7_71]) ).
cnf(refute_7_218,plain,
( ~ definitionFOFtoCNF_61
| ~ definitionFOFtoCNF_62
| ~ definitionFOFtoCNF_63
| op(e2,e2) = e3
| definitionFOFtoCNF_55 ),
inference(resolve,[$cnf( $equal(op(e1,e1),e3) )],[refute_7_217,refute_7_120]) ).
cnf(refute_7_219,plain,
( op(e3,e3) = e2
| op(e4,e4) = e2
| definitionFOFtoCNF_62 ),
inference(canonicalize,[],[normalize_7_73]) ).
cnf(refute_7_220,plain,
( e1 = e2
| op(e3,e3) = e2
| definitionFOFtoCNF_62 ),
inference(resolve,[$cnf( $equal(op(e4,e4),e2) )],[refute_7_219,refute_7_190]) ).
cnf(refute_7_221,plain,
( op(e3,e3) = e2
| definitionFOFtoCNF_62 ),
inference(resolve,[$cnf( $equal(e1,e2) )],[refute_7_220,refute_7_145]) ).
cnf(refute_7_222,plain,
op(e3,e3) != op(e3,e4),
inference(canonicalize,[],[normalize_7_74]) ).
cnf(refute_7_223,plain,
( op(e3,e3) != e2
| op(e3,e4) != e2
| op(e3,e3) = op(e3,e4) ),
introduced(tautology,[equality,[$cnf( ~ $equal(op(e3,e3),op(e3,e4)) ),[1],$fot(e2)]]) ).
cnf(refute_7_224,plain,
( op(e3,e3) != e2
| op(e3,e3) = op(e3,e4) ),
inference(resolve,[$cnf( $equal(op(e3,e4),e2) )],[refute_7_67,refute_7_223]) ).
cnf(refute_7_225,plain,
op(e3,e3) != e2,
inference(resolve,[$cnf( $equal(op(e3,e3),op(e3,e4)) )],[refute_7_224,refute_7_222]) ).
cnf(refute_7_226,plain,
definitionFOFtoCNF_62,
inference(resolve,[$cnf( $equal(op(e3,e3),e2) )],[refute_7_221,refute_7_225]) ).
cnf(refute_7_227,plain,
( ~ definitionFOFtoCNF_61
| ~ definitionFOFtoCNF_63
| op(e2,e2) = e3
| definitionFOFtoCNF_55 ),
inference(resolve,[$cnf( definitionFOFtoCNF_62 )],[refute_7_226,refute_7_218]) ).
cnf(refute_7_228,plain,
op(e0,e0) != op(e0,e3),
inference(canonicalize,[],[normalize_7_75]) ).
cnf(refute_7_229,plain,
( op(e0,e0) = e3
| definitionFOFtoCNF_63 ),
inference(canonicalize,[],[normalize_7_77]) ).
cnf(refute_7_230,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_7_231,plain,
( e3 != op(e0,e3)
| op(e0,e0) = op(e0,e3)
| definitionFOFtoCNF_63 ),
inference(resolve,[$cnf( $equal(op(e0,e0),e3) )],[refute_7_229,refute_7_230]) ).
cnf(refute_7_232,plain,
( e3 != op(e0,e3)
| definitionFOFtoCNF_63 ),
inference(resolve,[$cnf( $equal(op(e0,e0),op(e0,e3)) )],[refute_7_231,refute_7_228]) ).
cnf(refute_7_233,plain,
( op(unit,e3) != e3
| unit != e0
| op(e0,e3) = e3 ),
introduced(tautology,[equality,[$cnf( $equal(op(unit,e3),e3) ),[0,0],$fot(e0)]]) ).
cnf(refute_7_234,plain,
( op(unit,e3) != e3
| op(e0,e3) = e3
| unit = e2 ),
inference(resolve,[$cnf( $equal(unit,e0) )],[refute_7_80,refute_7_233]) ).
cnf(refute_7_235,plain,
( op(e0,e3) = e3
| unit = e2 ),
inference(resolve,[$cnf( $equal(op(unit,e3),e3) )],[refute_7_168,refute_7_234]) ).
cnf(refute_7_236,plain,
( e3 != e3
| op(e0,e3) != e3
| e3 = op(e0,e3) ),
introduced(tautology,[equality,[$cnf( ~ $equal(e3,op(e0,e3)) ),[1],$fot(e3)]]) ).
cnf(refute_7_237,plain,
( e3 != e3
| e3 = op(e0,e3)
| unit = e2 ),
inference(resolve,[$cnf( $equal(op(e0,e3),e3) )],[refute_7_235,refute_7_236]) ).
cnf(refute_7_238,plain,
( e3 != e3
| unit = e2
| definitionFOFtoCNF_63 ),
inference(resolve,[$cnf( $equal(e3,op(e0,e3)) )],[refute_7_237,refute_7_232]) ).
cnf(refute_7_239,plain,
e3 = e3,
introduced(tautology,[refl,[$fot(e3)]]) ).
cnf(refute_7_240,plain,
( unit = e2
| definitionFOFtoCNF_63 ),
inference(resolve,[$cnf( $equal(e3,e3) )],[refute_7_239,refute_7_238]) ).
cnf(refute_7_241,plain,
op(e0,e0) != op(e0,e4),
inference(canonicalize,[],[normalize_7_78]) ).
cnf(refute_7_242,plain,
( e3 != op(e0,e4)
| op(e0,e0) != e3
| op(e0,e0) = op(e0,e4) ),
introduced(tautology,[equality,[$cnf( $equal(op(e0,e0),e3) ),[1],$fot(op(e0,e4))]]) ).
cnf(refute_7_243,plain,
( e3 != op(e0,e4)
| op(e0,e0) = op(e0,e4)
| definitionFOFtoCNF_63 ),
inference(resolve,[$cnf( $equal(op(e0,e0),e3) )],[refute_7_229,refute_7_242]) ).
cnf(refute_7_244,plain,
( e3 != op(e0,e4)
| definitionFOFtoCNF_63 ),
inference(resolve,[$cnf( $equal(op(e0,e0),op(e0,e4)) )],[refute_7_243,refute_7_241]) ).
cnf(refute_7_245,plain,
( op(unit,e4) != e4
| unit != e2
| op(e2,e4) = e4 ),
introduced(tautology,[equality,[$cnf( $equal(op(unit,e4),e4) ),[0,0],$fot(e2)]]) ).
cnf(refute_7_246,plain,
( op(unit,e4) != e4
| op(e2,e4) = e4
| unit = e0 ),
inference(resolve,[$cnf( $equal(unit,e2) )],[refute_7_80,refute_7_245]) ).
cnf(refute_7_247,plain,
( op(e2,e4) = e4
| unit = e0 ),
inference(resolve,[$cnf( $equal(op(unit,e4),e4) )],[refute_7_28,refute_7_246]) ).
cnf(refute_7_248,plain,
( op(e0,e4) = e3
| op(e1,e4) = e3
| op(e2,e4) = e3
| op(e3,e4) = e3
| op(e4,e4) = e3 ),
inference(canonicalize,[],[normalize_7_79]) ).
cnf(refute_7_249,plain,
( e1 = e3
| op(e0,e4) = e3
| op(e1,e4) = e3
| op(e2,e4) = e3
| op(e3,e4) = e3 ),
inference(resolve,[$cnf( $equal(op(e4,e4),e3) )],[refute_7_248,refute_7_193]) ).
cnf(refute_7_250,plain,
( op(e0,e4) = e3
| op(e1,e4) = e3
| op(e2,e4) = e3
| op(e3,e4) = e3 ),
inference(resolve,[$cnf( $equal(e1,e3) )],[refute_7_249,refute_7_204]) ).
cnf(refute_7_251,plain,
( op(e1,e4) != e0
| op(e1,e4) != e3
| e0 = e3 ),
introduced(tautology,[equality,[$cnf( $equal(op(e1,e4),e3) ),[0],$fot(e0)]]) ).
cnf(refute_7_252,plain,
( op(e1,e4) != e3
| e0 = e3 ),
inference(resolve,[$cnf( $equal(op(e1,e4),e0) )],[refute_7_42,refute_7_251]) ).
cnf(refute_7_253,plain,
( e0 = e3
| op(e0,e4) = e3
| op(e2,e4) = e3
| op(e3,e4) = e3 ),
inference(resolve,[$cnf( $equal(op(e1,e4),e3) )],[refute_7_250,refute_7_252]) ).
cnf(refute_7_254,plain,
( op(e3,e4) != e2
| op(e3,e4) != e3
| e2 = e3 ),
introduced(tautology,[equality,[$cnf( $equal(op(e3,e4),e3) ),[0],$fot(e2)]]) ).
cnf(refute_7_255,plain,
( op(e3,e4) != e3
| e2 = e3 ),
inference(resolve,[$cnf( $equal(op(e3,e4),e2) )],[refute_7_67,refute_7_254]) ).
cnf(refute_7_256,plain,
( e0 = e3
| e2 = e3
| op(e0,e4) = e3
| op(e2,e4) = e3 ),
inference(resolve,[$cnf( $equal(op(e3,e4),e3) )],[refute_7_253,refute_7_255]) ).
cnf(refute_7_257,plain,
e0 != e3,
inference(canonicalize,[],[normalize_7_80]) ).
cnf(refute_7_258,plain,
( e2 = e3
| op(e0,e4) = e3
| op(e2,e4) = e3 ),
inference(resolve,[$cnf( $equal(e0,e3) )],[refute_7_256,refute_7_257]) ).
cnf(refute_7_259,plain,
( op(e0,e4) = e3
| op(e2,e4) = e3 ),
inference(resolve,[$cnf( $equal(e2,e3) )],[refute_7_258,refute_7_126]) ).
cnf(refute_7_260,plain,
( op(e2,e4) != e3
| op(e2,e4) != e4
| e3 = e4 ),
introduced(tautology,[equality,[$cnf( $equal(op(e2,e4),e4) ),[0],$fot(e3)]]) ).
cnf(refute_7_261,plain,
( op(e2,e4) != e4
| e3 = e4
| op(e0,e4) = e3 ),
inference(resolve,[$cnf( $equal(op(e2,e4),e3) )],[refute_7_259,refute_7_260]) ).
cnf(refute_7_262,plain,
( e3 = e4
| op(e0,e4) = e3
| unit = e0 ),
inference(resolve,[$cnf( $equal(op(e2,e4),e4) )],[refute_7_247,refute_7_261]) ).
cnf(refute_7_263,plain,
e3 != e4,
inference(canonicalize,[],[normalize_7_81]) ).
cnf(refute_7_264,plain,
( op(e0,e4) = e3
| unit = e0 ),
inference(resolve,[$cnf( $equal(e3,e4) )],[refute_7_262,refute_7_263]) ).
cnf(refute_7_265,plain,
( e3 != e3
| op(e0,e4) != e3
| e3 = op(e0,e4) ),
introduced(tautology,[equality,[$cnf( ~ $equal(e3,op(e0,e4)) ),[1],$fot(e3)]]) ).
cnf(refute_7_266,plain,
( e3 != e3
| e3 = op(e0,e4)
| unit = e0 ),
inference(resolve,[$cnf( $equal(op(e0,e4),e3) )],[refute_7_264,refute_7_265]) ).
cnf(refute_7_267,plain,
( e3 != e3
| unit = e0
| definitionFOFtoCNF_63 ),
inference(resolve,[$cnf( $equal(e3,op(e0,e4)) )],[refute_7_266,refute_7_244]) ).
cnf(refute_7_268,plain,
( unit = e0
| definitionFOFtoCNF_63 ),
inference(resolve,[$cnf( $equal(e3,e3) )],[refute_7_239,refute_7_267]) ).
cnf(refute_7_269,plain,
( unit != e0
| unit != e2
| e0 = e2 ),
introduced(tautology,[equality,[$cnf( $equal(unit,e2) ),[0],$fot(e0)]]) ).
cnf(refute_7_270,plain,
( unit != e2
| e0 = e2
| definitionFOFtoCNF_63 ),
inference(resolve,[$cnf( $equal(unit,e0) )],[refute_7_268,refute_7_269]) ).
cnf(refute_7_271,plain,
( e0 = e2
| definitionFOFtoCNF_63 ),
inference(resolve,[$cnf( $equal(unit,e2) )],[refute_7_240,refute_7_270]) ).
cnf(refute_7_272,plain,
e0 != e2,
inference(canonicalize,[],[normalize_7_82]) ).
cnf(refute_7_273,plain,
definitionFOFtoCNF_63,
inference(resolve,[$cnf( $equal(e0,e2) )],[refute_7_271,refute_7_272]) ).
cnf(refute_7_274,plain,
( ~ definitionFOFtoCNF_61
| op(e2,e2) = e3
| definitionFOFtoCNF_55 ),
inference(resolve,[$cnf( definitionFOFtoCNF_63 )],[refute_7_273,refute_7_227]) ).
cnf(refute_7_275,plain,
( op(e2,e2) = e3
| definitionFOFtoCNF_55 ),
inference(resolve,[$cnf( definitionFOFtoCNF_61 )],[refute_7_216,refute_7_274]) ).
cnf(refute_7_276,plain,
( e3 != e3
| op(e2,e2) != e3
| op(e2,e2) = e3 ),
introduced(tautology,[equality,[$cnf( $equal(op(e2,e2),e3) ),[1],$fot(e3)]]) ).
cnf(refute_7_277,plain,
( e3 != e3
| op(e2,e2) = e3
| definitionFOFtoCNF_55 ),
inference(resolve,[$cnf( $equal(op(e2,e2),e3) )],[refute_7_275,refute_7_276]) ).
cnf(refute_7_278,plain,
( e3 != e3
| unit = e0
| definitionFOFtoCNF_55 ),
inference(resolve,[$cnf( $equal(op(e2,e2),e3) )],[refute_7_277,refute_7_174]) ).
cnf(refute_7_279,plain,
( unit = e0
| definitionFOFtoCNF_55 ),
inference(resolve,[$cnf( $equal(e3,e3) )],[refute_7_239,refute_7_278]) ).
cnf(refute_7_280,plain,
( op(unit,e4) != e4
| unit != e0
| op(e0,e4) = e4 ),
introduced(tautology,[equality,[$cnf( $equal(op(unit,e4),e4) ),[0,0],$fot(e0)]]) ).
cnf(refute_7_281,plain,
( op(unit,e4) != e4
| op(e0,e4) = e4
| unit = e2 ),
inference(resolve,[$cnf( $equal(unit,e0) )],[refute_7_80,refute_7_280]) ).
cnf(refute_7_282,plain,
( op(e0,e4) = e4
| unit = e2 ),
inference(resolve,[$cnf( $equal(op(unit,e4),e4) )],[refute_7_28,refute_7_281]) ).
cnf(refute_7_283,plain,
op(e2,e2) != op(e2,e4),
inference(canonicalize,[],[normalize_7_83]) ).
cnf(refute_7_284,plain,
( op(e2,e2) != e3
| op(e2,e4) != e3
| op(e2,e2) = op(e2,e4) ),
introduced(tautology,[equality,[$cnf( ~ $equal(op(e2,e2),op(e2,e4)) ),[1],$fot(e3)]]) ).
cnf(refute_7_285,plain,
( op(e2,e2) != e3
| op(e0,e4) = e3
| op(e2,e2) = op(e2,e4) ),
inference(resolve,[$cnf( $equal(op(e2,e4),e3) )],[refute_7_259,refute_7_284]) ).
cnf(refute_7_286,plain,
( op(e2,e2) != e3
| op(e0,e4) = e3 ),
inference(resolve,[$cnf( $equal(op(e2,e2),op(e2,e4)) )],[refute_7_285,refute_7_283]) ).
cnf(refute_7_287,plain,
( e3 != e3
| op(e0,e4) = e3
| definitionFOFtoCNF_55 ),
inference(resolve,[$cnf( $equal(op(e2,e2),e3) )],[refute_7_277,refute_7_286]) ).
cnf(refute_7_288,plain,
( op(e0,e4) = e3
| definitionFOFtoCNF_55 ),
inference(resolve,[$cnf( $equal(e3,e3) )],[refute_7_239,refute_7_287]) ).
cnf(refute_7_289,plain,
( op(e0,e4) != e3
| op(e0,e4) != e4
| e3 = e4 ),
introduced(tautology,[equality,[$cnf( $equal(op(e0,e4),e4) ),[0],$fot(e3)]]) ).
cnf(refute_7_290,plain,
( op(e0,e4) != e4
| e3 = e4
| definitionFOFtoCNF_55 ),
inference(resolve,[$cnf( $equal(op(e0,e4),e3) )],[refute_7_288,refute_7_289]) ).
cnf(refute_7_291,plain,
( e3 = e4
| unit = e2
| definitionFOFtoCNF_55 ),
inference(resolve,[$cnf( $equal(op(e0,e4),e4) )],[refute_7_282,refute_7_290]) ).
cnf(refute_7_292,plain,
( unit = e2
| definitionFOFtoCNF_55 ),
inference(resolve,[$cnf( $equal(e3,e4) )],[refute_7_291,refute_7_263]) ).
cnf(refute_7_293,plain,
( unit != e0
| unit != e2
| e2 = e0 ),
introduced(tautology,[equality,[$cnf( $equal(unit,e0) ),[0],$fot(e2)]]) ).
cnf(refute_7_294,plain,
( unit != e0
| e2 = e0
| definitionFOFtoCNF_55 ),
inference(resolve,[$cnf( $equal(unit,e2) )],[refute_7_292,refute_7_293]) ).
cnf(refute_7_295,plain,
( e2 = e0
| definitionFOFtoCNF_55 ),
inference(resolve,[$cnf( $equal(unit,e0) )],[refute_7_279,refute_7_294]) ).
cnf(refute_7_296,plain,
( e2 != e0
| e0 = e2 ),
inference(subst,[],[refute_7_7:[bind(X,$fot(e2)),bind(Y,$fot(e0))]]) ).
cnf(refute_7_297,plain,
e2 != e0,
inference(resolve,[$cnf( $equal(e0,e2) )],[refute_7_296,refute_7_272]) ).
cnf(refute_7_298,plain,
definitionFOFtoCNF_55,
inference(resolve,[$cnf( $equal(e2,e0) )],[refute_7_295,refute_7_297]) ).
cnf(refute_7_299,plain,
( ~ definitionFOFtoCNF_56
| op(e2,e2) = e1 ),
inference(resolve,[$cnf( definitionFOFtoCNF_55 )],[refute_7_298,refute_7_166]) ).
cnf(refute_7_300,plain,
( op(e2,e0) != e2
| ~ definitionFOFtoCNF_57
| ~ definitionFOFtoCNF_58
| op(e0,e0) = e3
| definitionFOFtoCNF_56 ),
inference(canonicalize,[],[normalize_7_85]) ).
cnf(refute_7_301,plain,
( e2 != e2
| op(e2,e0) != e2
| op(e2,e0) = e2 ),
introduced(tautology,[equality,[$cnf( $equal(op(e2,e0),e2) ),[0,0],$fot(e2)]]) ).
cnf(refute_7_302,plain,
( e2 != e2
| op(e2,e0) = e2 ),
inference(resolve,[$cnf( $equal(op(e2,e0),e2) )],[refute_7_155,refute_7_301]) ).
cnf(refute_7_303,plain,
( e2 != e2
| ~ definitionFOFtoCNF_57
| ~ definitionFOFtoCNF_58
| op(e0,e0) = e3
| definitionFOFtoCNF_56 ),
inference(resolve,[$cnf( $equal(op(e2,e0),e2) )],[refute_7_302,refute_7_300]) ).
cnf(refute_7_304,plain,
op(e0,unit) = e0,
inference(canonicalize,[],[normalize_7_86]) ).
cnf(refute_7_305,plain,
op(e0,unit) = op(e0,unit),
introduced(tautology,[refl,[$fot(op(e0,unit))]]) ).
cnf(refute_7_306,plain,
( op(e0,unit) != op(e0,unit)
| unit != e0
| op(e0,unit) = op(e0,e0) ),
introduced(tautology,[equality,[$cnf( $equal(op(e0,unit),op(e0,unit)) ),[1,1],$fot(e0)]]) ).
cnf(refute_7_307,plain,
( unit != e0
| op(e0,unit) = op(e0,e0) ),
inference(resolve,[$cnf( $equal(op(e0,unit),op(e0,unit)) )],[refute_7_305,refute_7_306]) ).
cnf(refute_7_308,plain,
op(e0,unit) = op(e0,e0),
inference(resolve,[$cnf( $equal(unit,e0) )],[refute_7_95,refute_7_307]) ).
cnf(refute_7_309,plain,
( op(e0,unit) != e0
| op(e0,unit) != op(e0,e0)
| op(e0,e0) = e0 ),
introduced(tautology,[equality,[$cnf( $equal(op(e0,unit),e0) ),[0],$fot(op(e0,e0))]]) ).
cnf(refute_7_310,plain,
( op(e0,unit) != e0
| op(e0,e0) = e0 ),
inference(resolve,[$cnf( $equal(op(e0,unit),op(e0,e0)) )],[refute_7_308,refute_7_309]) ).
cnf(refute_7_311,plain,
op(e0,e0) = e0,
inference(resolve,[$cnf( $equal(op(e0,unit),e0) )],[refute_7_304,refute_7_310]) ).
cnf(refute_7_312,plain,
( op(e0,e0) != e0
| op(e0,e0) != e3
| e0 = e3 ),
introduced(tautology,[equality,[$cnf( $equal(op(e0,e0),e3) ),[0],$fot(e0)]]) ).
cnf(refute_7_313,plain,
( op(e0,e0) != e3
| e0 = e3 ),
inference(resolve,[$cnf( $equal(op(e0,e0),e0) )],[refute_7_311,refute_7_312]) ).
cnf(refute_7_314,plain,
( e2 != e2
| ~ definitionFOFtoCNF_57
| ~ definitionFOFtoCNF_58
| e0 = e3
| definitionFOFtoCNF_56 ),
inference(resolve,[$cnf( $equal(op(e0,e0),e3) )],[refute_7_303,refute_7_313]) ).
cnf(refute_7_315,plain,
e2 = e2,
introduced(tautology,[refl,[$fot(e2)]]) ).
cnf(refute_7_316,plain,
( ~ definitionFOFtoCNF_57
| ~ definitionFOFtoCNF_58
| e0 = e3
| definitionFOFtoCNF_56 ),
inference(resolve,[$cnf( $equal(e2,e2) )],[refute_7_315,refute_7_314]) ).
cnf(refute_7_317,plain,
op(e1,e1) != op(e1,e4),
inference(canonicalize,[],[normalize_7_87]) ).
cnf(refute_7_318,plain,
( op(e1,e1) != e0
| op(e1,e4) != e0
| op(e1,e1) = op(e1,e4) ),
introduced(tautology,[equality,[$cnf( ~ $equal(op(e1,e1),op(e1,e4)) ),[1],$fot(e0)]]) ).
cnf(refute_7_319,plain,
( op(e1,e1) != e0
| op(e1,e1) = op(e1,e4) ),
inference(resolve,[$cnf( $equal(op(e1,e4),e0) )],[refute_7_42,refute_7_318]) ).
cnf(refute_7_320,plain,
op(e1,e1) != e0,
inference(resolve,[$cnf( $equal(op(e1,e1),op(e1,e4)) )],[refute_7_319,refute_7_317]) ).
cnf(refute_7_321,plain,
( op(e1,e1) = e0
| definitionFOFtoCNF_57 ),
inference(canonicalize,[],[normalize_7_89]) ).
cnf(refute_7_322,plain,
( e0 != e0
| op(e1,e1) != e0
| op(e1,e1) = e0 ),
introduced(tautology,[equality,[$cnf( $equal(op(e1,e1),e0) ),[1],$fot(e0)]]) ).
cnf(refute_7_323,plain,
( e0 != e0
| op(e1,e1) = e0
| definitionFOFtoCNF_57 ),
inference(resolve,[$cnf( $equal(op(e1,e1),e0) )],[refute_7_321,refute_7_322]) ).
cnf(refute_7_324,plain,
( e0 != e0
| definitionFOFtoCNF_57 ),
inference(resolve,[$cnf( $equal(op(e1,e1),e0) )],[refute_7_323,refute_7_320]) ).
cnf(refute_7_325,plain,
e0 = e0,
introduced(tautology,[refl,[$fot(e0)]]) ).
cnf(refute_7_326,plain,
definitionFOFtoCNF_57,
inference(resolve,[$cnf( $equal(e0,e0) )],[refute_7_325,refute_7_324]) ).
cnf(refute_7_327,plain,
( ~ definitionFOFtoCNF_58
| e0 = e3
| definitionFOFtoCNF_56 ),
inference(resolve,[$cnf( definitionFOFtoCNF_57 )],[refute_7_326,refute_7_316]) ).
cnf(refute_7_328,plain,
op(e0,e0) != op(e0,e2),
inference(canonicalize,[],[normalize_7_90]) ).
cnf(refute_7_329,plain,
( op(e0,e0) = e2
| definitionFOFtoCNF_58 ),
inference(canonicalize,[],[normalize_7_92]) ).
cnf(refute_7_330,plain,
( e2 != op(e0,e2)
| op(e0,e0) != e2
| op(e0,e0) = op(e0,e2) ),
introduced(tautology,[equality,[$cnf( $equal(op(e0,e0),e2) ),[1],$fot(op(e0,e2))]]) ).
cnf(refute_7_331,plain,
( e2 != op(e0,e2)
| op(e0,e0) = op(e0,e2)
| definitionFOFtoCNF_58 ),
inference(resolve,[$cnf( $equal(op(e0,e0),e2) )],[refute_7_329,refute_7_330]) ).
cnf(refute_7_332,plain,
( e2 != op(e0,e2)
| definitionFOFtoCNF_58 ),
inference(resolve,[$cnf( $equal(op(e0,e0),op(e0,e2)) )],[refute_7_331,refute_7_328]) ).
cnf(refute_7_333,plain,
( op(unit,e2) != e2
| unit != e0
| op(e0,e2) = e2 ),
introduced(tautology,[equality,[$cnf( $equal(op(unit,e2),e2) ),[0,0],$fot(e0)]]) ).
cnf(refute_7_334,plain,
( op(unit,e2) != e2
| op(e0,e2) = e2
| unit = e2 ),
inference(resolve,[$cnf( $equal(unit,e0) )],[refute_7_80,refute_7_333]) ).
cnf(refute_7_335,plain,
( op(e0,e2) = e2
| unit = e2 ),
inference(resolve,[$cnf( $equal(op(unit,e2),e2) )],[refute_7_25,refute_7_334]) ).
cnf(refute_7_336,plain,
( e2 != e2
| op(e0,e2) != e2
| e2 = op(e0,e2) ),
introduced(tautology,[equality,[$cnf( ~ $equal(e2,op(e0,e2)) ),[1],$fot(e2)]]) ).
cnf(refute_7_337,plain,
( e2 != e2
| e2 = op(e0,e2)
| unit = e2 ),
inference(resolve,[$cnf( $equal(op(e0,e2),e2) )],[refute_7_335,refute_7_336]) ).
cnf(refute_7_338,plain,
( e2 != e2
| unit = e2
| definitionFOFtoCNF_58 ),
inference(resolve,[$cnf( $equal(e2,op(e0,e2)) )],[refute_7_337,refute_7_332]) ).
cnf(refute_7_339,plain,
( unit = e2
| definitionFOFtoCNF_58 ),
inference(resolve,[$cnf( $equal(e2,e2) )],[refute_7_315,refute_7_338]) ).
cnf(refute_7_340,plain,
( op(e2,e2) = e0
| definitionFOFtoCNF_58 ),
inference(canonicalize,[],[normalize_7_93]) ).
cnf(refute_7_341,plain,
( op(unit,e2) != e2
| unit != e2
| op(e2,e2) = e2 ),
introduced(tautology,[equality,[$cnf( $equal(op(unit,e2),e2) ),[0,0],$fot(e2)]]) ).
cnf(refute_7_342,plain,
( op(unit,e2) != e2
| op(e2,e2) = e2
| unit = e0 ),
inference(resolve,[$cnf( $equal(unit,e2) )],[refute_7_80,refute_7_341]) ).
cnf(refute_7_343,plain,
( op(e2,e2) = e2
| unit = e0 ),
inference(resolve,[$cnf( $equal(op(unit,e2),e2) )],[refute_7_25,refute_7_342]) ).
cnf(refute_7_344,plain,
( op(e2,e2) != e0
| op(e2,e2) != e2
| e2 = e0 ),
introduced(tautology,[equality,[$cnf( $equal(op(e2,e2),e0) ),[0],$fot(e2)]]) ).
cnf(refute_7_345,plain,
( op(e2,e2) != e0
| e2 = e0
| unit = e0 ),
inference(resolve,[$cnf( $equal(op(e2,e2),e2) )],[refute_7_343,refute_7_344]) ).
cnf(refute_7_346,plain,
( e2 = e0
| unit = e0
| definitionFOFtoCNF_58 ),
inference(resolve,[$cnf( $equal(op(e2,e2),e0) )],[refute_7_340,refute_7_345]) ).
cnf(refute_7_347,plain,
( unit = e0
| definitionFOFtoCNF_58 ),
inference(resolve,[$cnf( $equal(e2,e0) )],[refute_7_346,refute_7_297]) ).
cnf(refute_7_348,plain,
( unit != e2
| e0 = e2
| definitionFOFtoCNF_58 ),
inference(resolve,[$cnf( $equal(unit,e0) )],[refute_7_347,refute_7_269]) ).
cnf(refute_7_349,plain,
( e0 = e2
| definitionFOFtoCNF_58 ),
inference(resolve,[$cnf( $equal(unit,e2) )],[refute_7_339,refute_7_348]) ).
cnf(refute_7_350,plain,
definitionFOFtoCNF_58,
inference(resolve,[$cnf( $equal(e0,e2) )],[refute_7_349,refute_7_272]) ).
cnf(refute_7_351,plain,
( e0 = e3
| definitionFOFtoCNF_56 ),
inference(resolve,[$cnf( definitionFOFtoCNF_58 )],[refute_7_350,refute_7_327]) ).
cnf(refute_7_352,plain,
definitionFOFtoCNF_56,
inference(resolve,[$cnf( $equal(e0,e3) )],[refute_7_351,refute_7_257]) ).
cnf(refute_7_353,plain,
op(e2,e2) = e1,
inference(resolve,[$cnf( definitionFOFtoCNF_56 )],[refute_7_352,refute_7_299]) ).
cnf(refute_7_354,plain,
( op(e2,e2) != e1
| op(e2,e2) != e3
| e1 = e3 ),
introduced(tautology,[equality,[$cnf( $equal(op(e2,e2),e3) ),[0],$fot(e1)]]) ).
cnf(refute_7_355,plain,
( op(e2,e2) != e3
| e1 = e3 ),
inference(resolve,[$cnf( $equal(op(e2,e2),e1) )],[refute_7_353,refute_7_354]) ).
cnf(refute_7_356,plain,
( e1 = e3
| e2 = e3
| op(e1,e2) = e3
| op(e3,e2) = e3 ),
inference(resolve,[$cnf( $equal(op(e2,e2),e3) )],[refute_7_105,refute_7_355]) ).
cnf(refute_7_357,plain,
( e2 = e3
| op(e1,e2) = e3
| op(e3,e2) = e3 ),
inference(resolve,[$cnf( $equal(e1,e3) )],[refute_7_356,refute_7_204]) ).
cnf(refute_7_358,plain,
( op(e1,e2) = e3
| op(e3,e2) = e3 ),
inference(resolve,[$cnf( $equal(e2,e3) )],[refute_7_357,refute_7_126]) ).
cnf(refute_7_359,plain,
op(e3,e0) != op(e3,e2),
inference(canonicalize,[],[normalize_7_94]) ).
cnf(refute_7_360,plain,
op(e3,unit) = e3,
inference(canonicalize,[],[normalize_7_95]) ).
cnf(refute_7_361,plain,
op(e3,unit) = op(e3,unit),
introduced(tautology,[refl,[$fot(op(e3,unit))]]) ).
cnf(refute_7_362,plain,
( op(e3,unit) != op(e3,unit)
| unit != e0
| op(e3,unit) = op(e3,e0) ),
introduced(tautology,[equality,[$cnf( $equal(op(e3,unit),op(e3,unit)) ),[1,1],$fot(e0)]]) ).
cnf(refute_7_363,plain,
( unit != e0
| op(e3,unit) = op(e3,e0) ),
inference(resolve,[$cnf( $equal(op(e3,unit),op(e3,unit)) )],[refute_7_361,refute_7_362]) ).
cnf(refute_7_364,plain,
op(e3,unit) = op(e3,e0),
inference(resolve,[$cnf( $equal(unit,e0) )],[refute_7_95,refute_7_363]) ).
cnf(refute_7_365,plain,
( op(e3,unit) != e3
| op(e3,unit) != op(e3,e0)
| op(e3,e0) = e3 ),
introduced(tautology,[equality,[$cnf( $equal(op(e3,unit),e3) ),[0],$fot(op(e3,e0))]]) ).
cnf(refute_7_366,plain,
( op(e3,unit) != e3
| op(e3,e0) = e3 ),
inference(resolve,[$cnf( $equal(op(e3,unit),op(e3,e0)) )],[refute_7_364,refute_7_365]) ).
cnf(refute_7_367,plain,
op(e3,e0) = e3,
inference(resolve,[$cnf( $equal(op(e3,unit),e3) )],[refute_7_360,refute_7_366]) ).
cnf(refute_7_368,plain,
( e3 != op(e3,e2)
| op(e3,e0) != e3
| op(e3,e0) = op(e3,e2) ),
introduced(tautology,[equality,[$cnf( $equal(op(e3,e0),e3) ),[1],$fot(op(e3,e2))]]) ).
cnf(refute_7_369,plain,
( e3 != op(e3,e2)
| op(e3,e0) = op(e3,e2) ),
inference(resolve,[$cnf( $equal(op(e3,e0),e3) )],[refute_7_367,refute_7_368]) ).
cnf(refute_7_370,plain,
e3 != op(e3,e2),
inference(resolve,[$cnf( $equal(op(e3,e0),op(e3,e2)) )],[refute_7_369,refute_7_359]) ).
cnf(refute_7_371,plain,
( op(e3,e2) != e3
| e3 = op(e3,e2) ),
inference(subst,[],[refute_7_7:[bind(X,$fot(op(e3,e2))),bind(Y,$fot(e3))]]) ).
cnf(refute_7_372,plain,
op(e3,e2) != e3,
inference(resolve,[$cnf( $equal(e3,op(e3,e2)) )],[refute_7_371,refute_7_370]) ).
cnf(refute_7_373,plain,
op(e1,e2) = e3,
inference(resolve,[$cnf( $equal(op(e3,e2),e3) )],[refute_7_358,refute_7_372]) ).
cnf(refute_7_374,plain,
op(op(e1,e2),e2) = op(op(e1,e2),e2),
introduced(tautology,[refl,[$fot(op(op(e1,e2),e2))]]) ).
cnf(refute_7_375,plain,
( op(e1,e2) != e3
| op(op(e1,e2),e2) != op(op(e1,e2),e2)
| op(op(e1,e2),e2) = op(e3,e2) ),
introduced(tautology,[equality,[$cnf( $equal(op(op(e1,e2),e2),op(op(e1,e2),e2)) ),[1,0],$fot(e3)]]) ).
cnf(refute_7_376,plain,
( op(e1,e2) != e3
| op(op(e1,e2),e2) = op(e3,e2) ),
inference(resolve,[$cnf( $equal(op(op(e1,e2),e2),op(op(e1,e2),e2)) )],[refute_7_374,refute_7_375]) ).
cnf(refute_7_377,plain,
op(op(e1,e2),e2) = op(e3,e2),
inference(resolve,[$cnf( $equal(op(e1,e2),e3) )],[refute_7_373,refute_7_376]) ).
cnf(refute_7_378,plain,
( op(op(e1,e2),e2) != e1
| op(op(e1,e2),e2) != op(e3,e2)
| op(e3,e2) = e1 ),
introduced(tautology,[equality,[$cnf( $equal(op(op(e1,e2),e2),e1) ),[0],$fot(op(e3,e2))]]) ).
cnf(refute_7_379,plain,
( op(op(e1,e2),e2) != e1
| op(e3,e2) = e1 ),
inference(resolve,[$cnf( $equal(op(op(e1,e2),e2),op(e3,e2)) )],[refute_7_377,refute_7_378]) ).
cnf(refute_7_380,plain,
op(e3,e2) = e1,
inference(resolve,[$cnf( $equal(op(op(e1,e2),e2),e1) )],[refute_7_0,refute_7_379]) ).
cnf(refute_7_381,plain,
op(e2,e2) != op(e3,e2),
inference(canonicalize,[],[normalize_7_96]) ).
cnf(refute_7_382,plain,
( e1 != op(e3,e2)
| op(e2,e2) != e1
| op(e2,e2) = op(e3,e2) ),
introduced(tautology,[equality,[$cnf( $equal(op(e2,e2),e1) ),[1],$fot(op(e3,e2))]]) ).
cnf(refute_7_383,plain,
( e1 != op(e3,e2)
| op(e2,e2) = op(e3,e2) ),
inference(resolve,[$cnf( $equal(op(e2,e2),e1) )],[refute_7_353,refute_7_382]) ).
cnf(refute_7_384,plain,
e1 != op(e3,e2),
inference(resolve,[$cnf( $equal(op(e2,e2),op(e3,e2)) )],[refute_7_383,refute_7_381]) ).
cnf(refute_7_385,plain,
( op(e3,e2) != e1
| e1 = op(e3,e2) ),
inference(subst,[],[refute_7_7:[bind(X,$fot(op(e3,e2))),bind(Y,$fot(e1))]]) ).
cnf(refute_7_386,plain,
op(e3,e2) != e1,
inference(resolve,[$cnf( $equal(e1,op(e3,e2)) )],[refute_7_385,refute_7_384]) ).
cnf(refute_7_387,plain,
$false,
inference(resolve,[$cnf( $equal(op(e3,e2),e1) )],[refute_7_380,refute_7_386]) ).
fof(negate_8_0,plain,
~ ( ( ( ( op(e0,e0) = e0
& op(e0,e0) = e0
& op(e0,e0) != e0 )
| ( op(e0,e0) = e1
& op(e1,e1) = e0
& op(e0,e1) != e0 )
| ( op(e0,e0) = e2
& op(e2,e2) = e0
& op(e0,e2) != e0 )
| ( op(e0,e0) = e3
& op(e3,e3) = e0
& op(e0,e3) != e0 )
| ( op(e0,e0) = e4
& op(e4,e4) = e0
& op(e0,e4) != e0 )
| ( op(e1,e1) = e0
& op(e0,e0) = e1
& op(e1,e0) != e1 )
| ( op(e1,e1) = e1
& op(e1,e1) = e1
& op(e1,e1) != e1 )
| ( op(e1,e1) = e2
& op(e2,e2) = e1
& op(e1,e2) != e1 )
| ( op(e1,e1) = e3
& op(e3,e3) = e1
& op(e1,e3) != e1 )
| ( op(e1,e1) = e4
& op(e4,e4) = e1
& op(e1,e4) != e1 )
| ( op(e2,e2) = e0
& op(e0,e0) = e2
& op(e2,e0) != e2 )
| ( op(e2,e2) = e1
& op(e1,e1) = e2
& op(e2,e1) != e2 )
| ( op(e2,e2) = e2
& op(e2,e2) = e2
& op(e2,e2) != e2 )
| ( op(e2,e2) = e3
& op(e3,e3) = e2
& op(e2,e3) != e2 )
| ( op(e2,e2) = e4
& op(e4,e4) = e2
& op(e2,e4) != e2 )
| ( op(e3,e3) = e0
& op(e0,e0) = e3
& op(e3,e0) != e3 )
| ( op(e3,e3) = e1
& op(e1,e1) = e3
& op(e3,e1) != e3 )
| ( op(e3,e3) = e2
& op(e2,e2) = e3
& op(e3,e2) != e3 )
| ( op(e3,e3) = e3
& op(e3,e3) = e3
& op(e3,e3) != e3 )
| ( op(e3,e3) = e4
& op(e4,e4) = e3
& op(e3,e4) != e3 )
| ( op(e4,e4) = e0
& op(e0,e0) = e4
& op(e4,e0) != e4 )
| ( op(e4,e4) = e1
& op(e1,e1) = e4
& op(e4,e1) != e4 )
| ( op(e4,e4) = e2
& op(e2,e2) = e4
& op(e4,e2) != e4 )
| ( op(e4,e4) = e3
& op(e3,e3) = e4
& op(e4,e3) != e4 )
| ( op(e4,e4) = e4
& op(e4,e4) = e4
& op(e4,e4) != e4 ) )
& ~ ( op(e0,e0) != op(e0,e0)
& op(op(e0,e0),e0) = e0
& op(op(e0,e0),e0) != e0 )
& ~ ( op(e1,e0) != op(e0,e1)
& op(op(e0,e1),e1) = e0
& op(op(e0,e1),e0) != e1 )
& ~ ( op(e2,e0) != op(e0,e2)
& op(op(e0,e2),e2) = e0
& op(op(e0,e2),e0) != e2 )
& ~ ( op(e3,e0) != op(e0,e3)
& op(op(e0,e3),e3) = e0
& op(op(e0,e3),e0) != e3 )
& ~ ( op(e4,e0) != op(e0,e4)
& op(op(e0,e4),e4) = e0
& op(op(e0,e4),e0) != e4 )
& ~ ( op(e0,e1) != op(e1,e0)
& op(op(e1,e0),e0) = e1
& op(op(e1,e0),e1) != e0 )
& ~ ( op(e1,e1) != op(e1,e1)
& op(op(e1,e1),e1) = e1
& op(op(e1,e1),e1) != e1 )
& ~ ( op(e2,e1) != op(e1,e2)
& op(op(e1,e2),e2) = e1
& op(op(e1,e2),e1) != e2 )
& op(e3,e1) != op(e1,e3)
& op(op(e1,e3),e3) = e1 )
=> op(op(e1,e3),e1) = e3 ),
inference(negate,[],[subgoal_8]) ).
fof(normalize_8_0,plain,
( op(e3,e1) != op(e1,e3)
& op(op(e1,e3),e1) != e3
& op(op(e1,e3),e3) = e1
& ( op(op(e0,e1),e1) != e0
| op(e1,e0) = op(e0,e1)
| op(op(e0,e1),e0) = e1 )
& ( op(op(e0,e2),e2) != e0
| op(e2,e0) = op(e0,e2)
| op(op(e0,e2),e0) = e2 )
& ( op(op(e0,e3),e3) != e0
| op(e3,e0) = op(e0,e3)
| op(op(e0,e3),e0) = e3 )
& ( op(op(e0,e4),e4) != e0
| op(e4,e0) = op(e0,e4)
| op(op(e0,e4),e0) = e4 )
& ( op(op(e1,e0),e0) != e1
| op(e0,e1) = op(e1,e0)
| op(op(e1,e0),e1) = e0 )
& ( op(op(e1,e2),e2) != e1
| op(e2,e1) = op(e1,e2)
| op(op(e1,e2),e1) = e2 )
& ( ( op(e0,e1) != e0
& op(e0,e0) = e1
& op(e1,e1) = e0 )
| ( op(e0,e2) != e0
& op(e0,e0) = e2
& op(e2,e2) = e0 )
| ( op(e0,e3) != e0
& op(e0,e0) = e3
& op(e3,e3) = e0 )
| ( op(e0,e4) != e0
& op(e0,e0) = e4
& op(e4,e4) = e0 )
| ( op(e1,e0) != e1
& op(e0,e0) = e1
& op(e1,e1) = e0 )
| ( op(e1,e2) != e1
& op(e1,e1) = e2
& op(e2,e2) = e1 )
| ( op(e1,e3) != e1
& op(e1,e1) = e3
& op(e3,e3) = e1 )
| ( op(e1,e4) != e1
& op(e1,e1) = e4
& op(e4,e4) = e1 )
| ( op(e2,e0) != e2
& op(e0,e0) = e2
& op(e2,e2) = e0 )
| ( op(e2,e1) != e2
& op(e1,e1) = e2
& op(e2,e2) = e1 )
| ( op(e2,e3) != e2
& op(e2,e2) = e3
& op(e3,e3) = e2 )
| ( op(e2,e4) != e2
& op(e2,e2) = e4
& op(e4,e4) = e2 )
| ( op(e3,e0) != e3
& op(e0,e0) = e3
& op(e3,e3) = e0 )
| ( op(e3,e1) != e3
& op(e1,e1) = e3
& op(e3,e3) = e1 )
| ( op(e3,e2) != e3
& op(e2,e2) = e3
& op(e3,e3) = e2 )
| ( op(e3,e4) != e3
& op(e3,e3) = e4
& op(e4,e4) = e3 )
| ( op(e4,e0) != e4
& op(e0,e0) = e4
& op(e4,e4) = e0 )
| ( op(e4,e1) != e4
& op(e1,e1) = e4
& op(e4,e4) = e1 )
| ( op(e4,e2) != e4
& op(e2,e2) = e4
& op(e4,e4) = e2 )
| ( op(e4,e3) != e4
& op(e3,e3) = e4
& op(e4,e4) = e3 ) ) ),
inference(canonicalize,[],[negate_8_0]) ).
fof(normalize_8_1,plain,
op(op(e1,e3),e1) != e3,
inference(conjunct,[],[normalize_8_0]) ).
fof(normalize_8_2,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,[],[ax3]) ).
fof(normalize_8_3,plain,
( op(e1,e0) = e4
| op(e1,e1) = e4
| op(e1,e2) = e4
| op(e1,e3) = e4
| op(e1,e4) = e4 ),
inference(conjunct,[],[normalize_8_2]) ).
fof(normalize_8_4,plain,
( e0 = op(op(e4,e4),e4)
& e1 = op(e4,e4)
& e2 = op(op(e4,op(e4,e4)),e4)
& e3 = op(e4,op(e4,e4)) ),
inference(canonicalize,[],[ax6]) ).
fof(normalize_8_5,plain,
e0 = op(op(e4,e4),e4),
inference(conjunct,[],[normalize_8_4]) ).
fof(normalize_8_6,plain,
e1 = op(e4,e4),
inference(conjunct,[],[normalize_8_4]) ).
fof(normalize_8_7,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_8_8,plain,
e0 != e4,
inference(conjunct,[],[normalize_8_7]) ).
fof(normalize_8_9,plain,
e3 = op(e4,op(e4,e4)),
inference(conjunct,[],[normalize_8_4]) ).
fof(normalize_8_10,plain,
( op(e0,unit) = e0
& op(e1,unit) = e1
& op(e2,unit) = e2
& op(e3,unit) = e3
& op(e4,unit) = e4
& op(unit,e0) = e0
& op(unit,e1) = e1
& op(unit,e2) = e2
& op(unit,e3) = e3
& op(unit,e4) = e4
& ( unit = e0
| unit = e1
| unit = e2
| unit = e3
| unit = e4 ) ),
inference(canonicalize,[],[ax2]) ).
fof(normalize_8_11,plain,
op(e1,unit) = e1,
inference(conjunct,[],[normalize_8_10]) ).
fof(normalize_8_12,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_8_13,plain,
op(e0,e1) != op(e0,e3),
inference(conjunct,[],[normalize_8_12]) ).
fof(normalize_8_14,plain,
op(e1,e2) != op(e3,e2),
inference(conjunct,[],[normalize_8_12]) ).
fof(normalize_8_15,plain,
op(e3,unit) = e3,
inference(conjunct,[],[normalize_8_10]) ).
fof(normalize_8_16,plain,
op(unit,e4) = e4,
inference(conjunct,[],[normalize_8_10]) ).
fof(normalize_8_17,plain,
( unit = e0
| unit = e1
| unit = e2
| unit = e3
| unit = e4 ),
inference(conjunct,[],[normalize_8_10]) ).
fof(normalize_8_18,plain,
e2 = op(op(e4,op(e4,e4)),e4),
inference(conjunct,[],[normalize_8_4]) ).
fof(normalize_8_19,plain,
e2 != e4,
inference(conjunct,[],[normalize_8_7]) ).
fof(normalize_8_20,plain,
e1 != e4,
inference(conjunct,[],[normalize_8_7]) ).
fof(normalize_8_21,plain,
op(e1,e3) != op(e2,e3),
inference(conjunct,[],[normalize_8_12]) ).
fof(normalize_8_22,plain,
( op(e1,e0) = e3
| op(e1,e1) = e3
| op(e1,e2) = e3
| op(e1,e3) = e3
| op(e1,e4) = e3 ),
inference(conjunct,[],[normalize_8_2]) ).
fof(normalize_8_23,plain,
op(e1,e1) != op(e4,e1),
inference(conjunct,[],[normalize_8_12]) ).
fof(normalize_8_24,plain,
e0 != e3,
inference(conjunct,[],[normalize_8_7]) ).
fof(normalize_8_25,plain,
op(unit,e3) = e3,
inference(conjunct,[],[normalize_8_10]) ).
fof(normalize_8_26,plain,
op(e2,e1) != op(e2,e2),
inference(conjunct,[],[normalize_8_12]) ).
fof(normalize_8_27,plain,
op(unit,e2) = e2,
inference(conjunct,[],[normalize_8_10]) ).
fof(normalize_8_28,plain,
( op(e0,e1) = e2
| op(e1,e1) = e2
| op(e2,e1) = e2
| op(e3,e1) = e2
| op(e4,e1) = e2 ),
inference(conjunct,[],[normalize_8_2]) ).
fof(normalize_8_29,plain,
e2 != e3,
inference(conjunct,[],[normalize_8_7]) ).
fof(normalize_8_30,plain,
op(e3,e1) != op(e3,e4),
inference(conjunct,[],[normalize_8_12]) ).
fof(normalize_8_31,plain,
e3 != e4,
inference(conjunct,[],[normalize_8_7]) ).
fof(normalize_8_32,plain,
op(e2,e1) != op(e2,e3),
inference(conjunct,[],[normalize_8_12]) ).
fof(normalize_8_33,plain,
op(unit,e1) = e1,
inference(conjunct,[],[normalize_8_10]) ).
fof(normalize_8_34,plain,
op(op(e1,e3),e3) = e1,
inference(conjunct,[],[normalize_8_0]) ).
fof(normalize_8_35,plain,
op(e2,e2) != op(e2,e3),
inference(conjunct,[],[normalize_8_12]) ).
fof(normalize_8_36,plain,
op(e4,e0) != op(e4,e3),
inference(conjunct,[],[normalize_8_12]) ).
fof(normalize_8_37,plain,
( op(e0,e3) = e2
| op(e1,e3) = e2
| op(e2,e3) = e2
| op(e3,e3) = e2
| op(e4,e3) = e2 ),
inference(conjunct,[],[normalize_8_2]) ).
fof(normalize_8_38,plain,
op(e3,e3) != op(e3,e4),
inference(conjunct,[],[normalize_8_12]) ).
fof(normalize_8_39,plain,
op(e4,e0) != op(e4,e2),
inference(conjunct,[],[normalize_8_12]) ).
fof(normalize_8_40,plain,
op(e4,unit) = e4,
inference(conjunct,[],[normalize_8_10]) ).
fof(normalize_8_41,plain,
op(e2,e0) != op(e4,e0),
inference(conjunct,[],[normalize_8_12]) ).
fof(normalize_8_42,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_8_43,plain,
( op(e4,e0) = e0
| op(e4,e0) = e1
| op(e4,e0) = e2
| op(e4,e0) = e3
| op(e4,e0) = e4 ),
inference(conjunct,[],[normalize_8_42]) ).
fof(normalize_8_44,plain,
op(e4,e0) != op(e4,e4),
inference(conjunct,[],[normalize_8_12]) ).
fof(normalize_8_45,plain,
op(e4,e0) != op(e4,e1),
inference(conjunct,[],[normalize_8_12]) ).
fof(normalize_8_46,plain,
op(unit,e0) = e0,
inference(conjunct,[],[normalize_8_10]) ).
fof(normalize_8_47,plain,
e1 != e2,
inference(conjunct,[],[normalize_8_7]) ).
fof(normalize_8_48,plain,
op(e2,e0) != op(e2,e1),
inference(conjunct,[],[normalize_8_12]) ).
fof(normalize_8_49,plain,
op(e2,unit) = e2,
inference(conjunct,[],[normalize_8_10]) ).
fof(normalize_8_50,plain,
op(e4,e1) != op(e4,e4),
inference(conjunct,[],[normalize_8_12]) ).
fof(normalize_8_51,plain,
op(e0,e3) != op(e1,e3),
inference(conjunct,[],[normalize_8_12]) ).
cnf(refute_8_0,plain,
op(op(e1,e3),e1) != e3,
inference(canonicalize,[],[normalize_8_1]) ).
cnf(refute_8_1,plain,
( op(e1,e0) = e4
| op(e1,e1) = e4
| op(e1,e2) = e4
| op(e1,e3) = e4
| op(e1,e4) = e4 ),
inference(canonicalize,[],[normalize_8_3]) ).
cnf(refute_8_2,plain,
e0 = op(op(e4,e4),e4),
inference(canonicalize,[],[normalize_8_5]) ).
cnf(refute_8_3,plain,
e1 = op(e4,e4),
inference(canonicalize,[],[normalize_8_6]) ).
cnf(refute_8_4,plain,
X = X,
introduced(tautology,[refl,[$fot(X)]]) ).
cnf(refute_8_5,plain,
( X != X
| X != Y
| Y = X ),
introduced(tautology,[equality,[$cnf( $equal(X,X) ),[0],$fot(Y)]]) ).
cnf(refute_8_6,plain,
( X != Y
| Y = X ),
inference(resolve,[$cnf( $equal(X,X) )],[refute_8_4,refute_8_5]) ).
cnf(refute_8_7,plain,
( e1 != op(e4,e4)
| op(e4,e4) = e1 ),
inference(subst,[],[refute_8_6:[bind(X,$fot(e1)),bind(Y,$fot(op(e4,e4)))]]) ).
cnf(refute_8_8,plain,
op(e4,e4) = e1,
inference(resolve,[$cnf( $equal(e1,op(e4,e4)) )],[refute_8_3,refute_8_7]) ).
cnf(refute_8_9,plain,
op(op(e4,e4),e4) = op(op(e4,e4),e4),
introduced(tautology,[refl,[$fot(op(op(e4,e4),e4))]]) ).
cnf(refute_8_10,plain,
( op(e4,e4) != e1
| op(op(e4,e4),e4) != op(op(e4,e4),e4)
| op(op(e4,e4),e4) = op(e1,e4) ),
introduced(tautology,[equality,[$cnf( $equal(op(op(e4,e4),e4),op(op(e4,e4),e4)) ),[1,0],$fot(e1)]]) ).
cnf(refute_8_11,plain,
( op(e4,e4) != e1
| op(op(e4,e4),e4) = op(e1,e4) ),
inference(resolve,[$cnf( $equal(op(op(e4,e4),e4),op(op(e4,e4),e4)) )],[refute_8_9,refute_8_10]) ).
cnf(refute_8_12,plain,
op(op(e4,e4),e4) = op(e1,e4),
inference(resolve,[$cnf( $equal(op(e4,e4),e1) )],[refute_8_8,refute_8_11]) ).
cnf(refute_8_13,plain,
( e0 != op(op(e4,e4),e4)
| op(op(e4,e4),e4) != op(e1,e4)
| e0 = op(e1,e4) ),
introduced(tautology,[equality,[$cnf( ~ $equal(e0,op(e1,e4)) ),[0],$fot(op(op(e4,e4),e4))]]) ).
cnf(refute_8_14,plain,
( e0 != op(op(e4,e4),e4)
| e0 = op(e1,e4) ),
inference(resolve,[$cnf( $equal(op(op(e4,e4),e4),op(e1,e4)) )],[refute_8_12,refute_8_13]) ).
cnf(refute_8_15,plain,
e0 = op(e1,e4),
inference(resolve,[$cnf( $equal(e0,op(op(e4,e4),e4)) )],[refute_8_2,refute_8_14]) ).
cnf(refute_8_16,plain,
( e0 != op(e1,e4)
| op(e1,e4) = e0 ),
inference(subst,[],[refute_8_6:[bind(X,$fot(e0)),bind(Y,$fot(op(e1,e4)))]]) ).
cnf(refute_8_17,plain,
op(e1,e4) = e0,
inference(resolve,[$cnf( $equal(e0,op(e1,e4)) )],[refute_8_15,refute_8_16]) ).
cnf(refute_8_18,plain,
( op(e1,e4) != e0
| op(e1,e4) != e4
| e0 = e4 ),
introduced(tautology,[equality,[$cnf( $equal(op(e1,e4),e4) ),[0],$fot(e0)]]) ).
cnf(refute_8_19,plain,
( op(e1,e4) != e4
| e0 = e4 ),
inference(resolve,[$cnf( $equal(op(e1,e4),e0) )],[refute_8_17,refute_8_18]) ).
cnf(refute_8_20,plain,
( e0 = e4
| op(e1,e0) = e4
| op(e1,e1) = e4
| op(e1,e2) = e4
| op(e1,e3) = e4 ),
inference(resolve,[$cnf( $equal(op(e1,e4),e4) )],[refute_8_1,refute_8_19]) ).
cnf(refute_8_21,plain,
e0 != e4,
inference(canonicalize,[],[normalize_8_8]) ).
cnf(refute_8_22,plain,
( op(e1,e0) = e4
| op(e1,e1) = e4
| op(e1,e2) = e4
| op(e1,e3) = e4 ),
inference(resolve,[$cnf( $equal(e0,e4) )],[refute_8_20,refute_8_21]) ).
cnf(refute_8_23,plain,
( op(e1,e3) != e4
| op(e4,e1) != e3
| op(op(e1,e3),e1) = e3 ),
introduced(tautology,[equality,[$cnf( ~ $equal(op(op(e1,e3),e1),e3) ),[0,0],$fot(e4)]]) ).
cnf(refute_8_24,plain,
( op(e4,e1) != e3
| op(e1,e0) = e4
| op(e1,e1) = e4
| op(e1,e2) = e4
| op(op(e1,e3),e1) = e3 ),
inference(resolve,[$cnf( $equal(op(e1,e3),e4) )],[refute_8_22,refute_8_23]) ).
cnf(refute_8_25,plain,
( op(e4,e1) != e3
| op(e1,e0) = e4
| op(e1,e1) = e4
| op(e1,e2) = e4 ),
inference(resolve,[$cnf( $equal(op(op(e1,e3),e1),e3) )],[refute_8_24,refute_8_0]) ).
cnf(refute_8_26,plain,
e3 = op(e4,op(e4,e4)),
inference(canonicalize,[],[normalize_8_9]) ).
cnf(refute_8_27,plain,
op(e4,op(e4,e4)) = op(e4,op(e4,e4)),
introduced(tautology,[refl,[$fot(op(e4,op(e4,e4)))]]) ).
cnf(refute_8_28,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_8_29,plain,
( op(e4,e4) != e1
| op(e4,op(e4,e4)) = op(e4,e1) ),
inference(resolve,[$cnf( $equal(op(e4,op(e4,e4)),op(e4,op(e4,e4))) )],[refute_8_27,refute_8_28]) ).
cnf(refute_8_30,plain,
op(e4,op(e4,e4)) = op(e4,e1),
inference(resolve,[$cnf( $equal(op(e4,e4),e1) )],[refute_8_8,refute_8_29]) ).
cnf(refute_8_31,plain,
( e3 != op(e4,op(e4,e4))
| op(e4,op(e4,e4)) != op(e4,e1)
| e3 = op(e4,e1) ),
introduced(tautology,[equality,[$cnf( ~ $equal(e3,op(e4,e1)) ),[0],$fot(op(e4,op(e4,e4)))]]) ).
cnf(refute_8_32,plain,
( e3 != op(e4,op(e4,e4))
| e3 = op(e4,e1) ),
inference(resolve,[$cnf( $equal(op(e4,op(e4,e4)),op(e4,e1)) )],[refute_8_30,refute_8_31]) ).
cnf(refute_8_33,plain,
e3 = op(e4,e1),
inference(resolve,[$cnf( $equal(e3,op(e4,op(e4,e4))) )],[refute_8_26,refute_8_32]) ).
cnf(refute_8_34,plain,
( e3 != op(e4,e1)
| op(e4,e1) = e3 ),
inference(subst,[],[refute_8_6:[bind(X,$fot(e3)),bind(Y,$fot(op(e4,e1)))]]) ).
cnf(refute_8_35,plain,
op(e4,e1) = e3,
inference(resolve,[$cnf( $equal(e3,op(e4,e1)) )],[refute_8_33,refute_8_34]) ).
cnf(refute_8_36,plain,
( e3 != e3
| op(e4,e1) != e3
| op(e4,e1) = e3 ),
introduced(tautology,[equality,[$cnf( $equal(op(e4,e1),e3) ),[1],$fot(e3)]]) ).
cnf(refute_8_37,plain,
( e3 != e3
| op(e4,e1) = e3 ),
inference(resolve,[$cnf( $equal(op(e4,e1),e3) )],[refute_8_35,refute_8_36]) ).
cnf(refute_8_38,plain,
( e3 != e3
| op(e1,e0) = e4
| op(e1,e1) = e4
| op(e1,e2) = e4 ),
inference(resolve,[$cnf( $equal(op(e4,e1),e3) )],[refute_8_37,refute_8_25]) ).
cnf(refute_8_39,plain,
e3 = e3,
introduced(tautology,[refl,[$fot(e3)]]) ).
cnf(refute_8_40,plain,
( op(e1,e0) = e4
| op(e1,e1) = e4
| op(e1,e2) = e4 ),
inference(resolve,[$cnf( $equal(e3,e3) )],[refute_8_39,refute_8_38]) ).
cnf(refute_8_41,plain,
op(e1,unit) = e1,
inference(canonicalize,[],[normalize_8_11]) ).
cnf(refute_8_42,plain,
op(e0,e1) != op(e0,e3),
inference(canonicalize,[],[normalize_8_13]) ).
cnf(refute_8_43,plain,
op(e1,e2) != op(e3,e2),
inference(canonicalize,[],[normalize_8_14]) ).
cnf(refute_8_44,plain,
op(e3,unit) = e3,
inference(canonicalize,[],[normalize_8_15]) ).
cnf(refute_8_45,plain,
op(unit,e4) = e4,
inference(canonicalize,[],[normalize_8_16]) ).
cnf(refute_8_46,plain,
( unit = e0
| unit = e1
| unit = e2
| unit = e3
| unit = e4 ),
inference(canonicalize,[],[normalize_8_17]) ).
cnf(refute_8_47,plain,
( op(unit,e4) != e4
| unit != e1
| op(e1,e4) = e4 ),
introduced(tautology,[equality,[$cnf( $equal(op(unit,e4),e4) ),[0,0],$fot(e1)]]) ).
cnf(refute_8_48,plain,
( op(unit,e4) != e4
| op(e1,e4) = e4
| unit = e0
| unit = e2
| unit = e3
| unit = e4 ),
inference(resolve,[$cnf( $equal(unit,e1) )],[refute_8_46,refute_8_47]) ).
cnf(refute_8_49,plain,
( op(e1,e4) = e4
| unit = e0
| unit = e2
| unit = e3
| unit = e4 ),
inference(resolve,[$cnf( $equal(op(unit,e4),e4) )],[refute_8_45,refute_8_48]) ).
cnf(refute_8_50,plain,
( e0 = e4
| unit = e0
| unit = e2
| unit = e3
| unit = e4 ),
inference(resolve,[$cnf( $equal(op(e1,e4),e4) )],[refute_8_49,refute_8_19]) ).
cnf(refute_8_51,plain,
( unit = e0
| unit = e2
| unit = e3
| unit = e4 ),
inference(resolve,[$cnf( $equal(e0,e4) )],[refute_8_50,refute_8_21]) ).
cnf(refute_8_52,plain,
( op(unit,e4) != e4
| unit != e3
| op(e3,e4) = e4 ),
introduced(tautology,[equality,[$cnf( $equal(op(unit,e4),e4) ),[0,0],$fot(e3)]]) ).
cnf(refute_8_53,plain,
( op(unit,e4) != e4
| op(e3,e4) = e4
| unit = e0
| unit = e2
| unit = e4 ),
inference(resolve,[$cnf( $equal(unit,e3) )],[refute_8_51,refute_8_52]) ).
cnf(refute_8_54,plain,
( op(e3,e4) = e4
| unit = e0
| unit = e2
| unit = e4 ),
inference(resolve,[$cnf( $equal(op(unit,e4),e4) )],[refute_8_45,refute_8_53]) ).
cnf(refute_8_55,plain,
e2 = op(op(e4,op(e4,e4)),e4),
inference(canonicalize,[],[normalize_8_18]) ).
cnf(refute_8_56,plain,
op(op(e4,op(e4,e4)),e4) = op(op(e4,op(e4,e4)),e4),
introduced(tautology,[refl,[$fot(op(op(e4,op(e4,e4)),e4))]]) ).
cnf(refute_8_57,plain,
( op(e4,op(e4,e4)) != op(e4,e1)
| op(op(e4,op(e4,e4)),e4) != op(op(e4,op(e4,e4)),e4)
| op(op(e4,op(e4,e4)),e4) = op(op(e4,e1),e4) ),
introduced(tautology,[equality,[$cnf( $equal(op(op(e4,op(e4,e4)),e4),op(op(e4,op(e4,e4)),e4)) ),[1,0],$fot(op(e4,e1))]]) ).
cnf(refute_8_58,plain,
( op(e4,op(e4,e4)) != op(e4,e1)
| op(op(e4,op(e4,e4)),e4) = op(op(e4,e1),e4) ),
inference(resolve,[$cnf( $equal(op(op(e4,op(e4,e4)),e4),op(op(e4,op(e4,e4)),e4)) )],[refute_8_56,refute_8_57]) ).
cnf(refute_8_59,plain,
op(op(e4,op(e4,e4)),e4) = op(op(e4,e1),e4),
inference(resolve,[$cnf( $equal(op(e4,op(e4,e4)),op(e4,e1)) )],[refute_8_30,refute_8_58]) ).
cnf(refute_8_60,plain,
( e2 != op(op(e4,op(e4,e4)),e4)
| op(op(e4,op(e4,e4)),e4) != op(op(e4,e1),e4)
| e2 = op(op(e4,e1),e4) ),
introduced(tautology,[equality,[$cnf( ~ $equal(e2,op(op(e4,e1),e4)) ),[0],$fot(op(op(e4,op(e4,e4)),e4))]]) ).
cnf(refute_8_61,plain,
( e2 != op(op(e4,op(e4,e4)),e4)
| e2 = op(op(e4,e1),e4) ),
inference(resolve,[$cnf( $equal(op(op(e4,op(e4,e4)),e4),op(op(e4,e1),e4)) )],[refute_8_59,refute_8_60]) ).
cnf(refute_8_62,plain,
e2 = op(op(e4,e1),e4),
inference(resolve,[$cnf( $equal(e2,op(op(e4,op(e4,e4)),e4)) )],[refute_8_55,refute_8_61]) ).
cnf(refute_8_63,plain,
op(op(e4,e1),e4) = op(op(e4,e1),e4),
introduced(tautology,[refl,[$fot(op(op(e4,e1),e4))]]) ).
cnf(refute_8_64,plain,
( op(e4,e1) != e3
| op(op(e4,e1),e4) != op(op(e4,e1),e4)
| op(op(e4,e1),e4) = op(e3,e4) ),
introduced(tautology,[equality,[$cnf( $equal(op(op(e4,e1),e4),op(op(e4,e1),e4)) ),[1,0],$fot(e3)]]) ).
cnf(refute_8_65,plain,
( op(e4,e1) != e3
| op(op(e4,e1),e4) = op(e3,e4) ),
inference(resolve,[$cnf( $equal(op(op(e4,e1),e4),op(op(e4,e1),e4)) )],[refute_8_63,refute_8_64]) ).
cnf(refute_8_66,plain,
op(op(e4,e1),e4) = op(e3,e4),
inference(resolve,[$cnf( $equal(op(e4,e1),e3) )],[refute_8_35,refute_8_65]) ).
cnf(refute_8_67,plain,
( e2 != op(op(e4,e1),e4)
| op(op(e4,e1),e4) != op(e3,e4)
| e2 = op(e3,e4) ),
introduced(tautology,[equality,[$cnf( ~ $equal(e2,op(e3,e4)) ),[0],$fot(op(op(e4,e1),e4))]]) ).
cnf(refute_8_68,plain,
( e2 != op(op(e4,e1),e4)
| e2 = op(e3,e4) ),
inference(resolve,[$cnf( $equal(op(op(e4,e1),e4),op(e3,e4)) )],[refute_8_66,refute_8_67]) ).
cnf(refute_8_69,plain,
e2 = op(e3,e4),
inference(resolve,[$cnf( $equal(e2,op(op(e4,e1),e4)) )],[refute_8_62,refute_8_68]) ).
cnf(refute_8_70,plain,
( e2 != op(e3,e4)
| op(e3,e4) = e2 ),
inference(subst,[],[refute_8_6:[bind(X,$fot(e2)),bind(Y,$fot(op(e3,e4)))]]) ).
cnf(refute_8_71,plain,
op(e3,e4) = e2,
inference(resolve,[$cnf( $equal(e2,op(e3,e4)) )],[refute_8_69,refute_8_70]) ).
cnf(refute_8_72,plain,
( op(e3,e4) != e2
| op(e3,e4) != e4
| e2 = e4 ),
introduced(tautology,[equality,[$cnf( $equal(op(e3,e4),e4) ),[0],$fot(e2)]]) ).
cnf(refute_8_73,plain,
( op(e3,e4) != e4
| e2 = e4 ),
inference(resolve,[$cnf( $equal(op(e3,e4),e2) )],[refute_8_71,refute_8_72]) ).
cnf(refute_8_74,plain,
( e2 = e4
| unit = e0
| unit = e2
| unit = e4 ),
inference(resolve,[$cnf( $equal(op(e3,e4),e4) )],[refute_8_54,refute_8_73]) ).
cnf(refute_8_75,plain,
e2 != e4,
inference(canonicalize,[],[normalize_8_19]) ).
cnf(refute_8_76,plain,
( unit = e0
| unit = e2
| unit = e4 ),
inference(resolve,[$cnf( $equal(e2,e4) )],[refute_8_74,refute_8_75]) ).
cnf(refute_8_77,plain,
( op(unit,e4) != e4
| unit != e4
| op(e4,e4) = e4 ),
introduced(tautology,[equality,[$cnf( $equal(op(unit,e4),e4) ),[0,0],$fot(e4)]]) ).
cnf(refute_8_78,plain,
( op(unit,e4) != e4
| op(e4,e4) = e4
| unit = e0
| unit = e2 ),
inference(resolve,[$cnf( $equal(unit,e4) )],[refute_8_76,refute_8_77]) ).
cnf(refute_8_79,plain,
( op(e4,e4) = e4
| unit = e0
| unit = e2 ),
inference(resolve,[$cnf( $equal(op(unit,e4),e4) )],[refute_8_45,refute_8_78]) ).
cnf(refute_8_80,plain,
( op(e4,e4) != e1
| op(e4,e4) != e4
| e1 = e4 ),
introduced(tautology,[equality,[$cnf( $equal(op(e4,e4),e4) ),[0],$fot(e1)]]) ).
cnf(refute_8_81,plain,
( op(e4,e4) != e4
| e1 = e4 ),
inference(resolve,[$cnf( $equal(op(e4,e4),e1) )],[refute_8_8,refute_8_80]) ).
cnf(refute_8_82,plain,
( e1 = e4
| unit = e0
| unit = e2 ),
inference(resolve,[$cnf( $equal(op(e4,e4),e4) )],[refute_8_79,refute_8_81]) ).
cnf(refute_8_83,plain,
e1 != e4,
inference(canonicalize,[],[normalize_8_20]) ).
cnf(refute_8_84,plain,
( unit = e0
| unit = e2 ),
inference(resolve,[$cnf( $equal(e1,e4) )],[refute_8_82,refute_8_83]) ).
cnf(refute_8_85,plain,
( op(e3,unit) != e3
| unit != e2
| op(e3,e2) = e3 ),
introduced(tautology,[equality,[$cnf( $equal(op(e3,unit),e3) ),[0,1],$fot(e2)]]) ).
cnf(refute_8_86,plain,
( op(e3,unit) != e3
| op(e3,e2) = e3
| unit = e0 ),
inference(resolve,[$cnf( $equal(unit,e2) )],[refute_8_84,refute_8_85]) ).
cnf(refute_8_87,plain,
( op(e3,e2) = e3
| unit = e0 ),
inference(resolve,[$cnf( $equal(op(e3,unit),e3) )],[refute_8_44,refute_8_86]) ).
cnf(refute_8_88,plain,
( op(e1,e2) != e3
| op(e3,e2) != e3
| op(e1,e2) = op(e3,e2) ),
introduced(tautology,[equality,[$cnf( ~ $equal(op(e1,e2),op(e3,e2)) ),[1],$fot(e3)]]) ).
cnf(refute_8_89,plain,
( op(e1,e2) != e3
| op(e1,e2) = op(e3,e2)
| unit = e0 ),
inference(resolve,[$cnf( $equal(op(e3,e2),e3) )],[refute_8_87,refute_8_88]) ).
cnf(refute_8_90,plain,
( op(e1,e2) != e3
| unit = e0 ),
inference(resolve,[$cnf( $equal(op(e1,e2),op(e3,e2)) )],[refute_8_89,refute_8_43]) ).
cnf(refute_8_91,plain,
op(e1,e3) != op(e2,e3),
inference(canonicalize,[],[normalize_8_21]) ).
cnf(refute_8_92,plain,
( op(e1,e0) = e3
| op(e1,e1) = e3
| op(e1,e2) = e3
| op(e1,e3) = e3
| op(e1,e4) = e3 ),
inference(canonicalize,[],[normalize_8_22]) ).
cnf(refute_8_93,plain,
op(e1,e1) != op(e4,e1),
inference(canonicalize,[],[normalize_8_23]) ).
cnf(refute_8_94,plain,
( op(e1,e1) != e3
| op(e4,e1) != e3
| op(e1,e1) = op(e4,e1) ),
introduced(tautology,[equality,[$cnf( ~ $equal(op(e1,e1),op(e4,e1)) ),[1],$fot(e3)]]) ).
cnf(refute_8_95,plain,
( op(e1,e1) != e3
| op(e1,e1) = op(e4,e1) ),
inference(resolve,[$cnf( $equal(op(e4,e1),e3) )],[refute_8_35,refute_8_94]) ).
cnf(refute_8_96,plain,
op(e1,e1) != e3,
inference(resolve,[$cnf( $equal(op(e1,e1),op(e4,e1)) )],[refute_8_95,refute_8_93]) ).
cnf(refute_8_97,plain,
( op(e1,e0) = e3
| op(e1,e2) = e3
| op(e1,e3) = e3
| op(e1,e4) = e3 ),
inference(resolve,[$cnf( $equal(op(e1,e1),e3) )],[refute_8_92,refute_8_96]) ).
cnf(refute_8_98,plain,
( op(e1,e4) != e0
| op(e1,e4) != e3
| e0 = e3 ),
introduced(tautology,[equality,[$cnf( $equal(op(e1,e4),e3) ),[0],$fot(e0)]]) ).
cnf(refute_8_99,plain,
( op(e1,e4) != e3
| e0 = e3 ),
inference(resolve,[$cnf( $equal(op(e1,e4),e0) )],[refute_8_17,refute_8_98]) ).
cnf(refute_8_100,plain,
( e0 = e3
| op(e1,e0) = e3
| op(e1,e2) = e3
| op(e1,e3) = e3 ),
inference(resolve,[$cnf( $equal(op(e1,e4),e3) )],[refute_8_97,refute_8_99]) ).
cnf(refute_8_101,plain,
e0 != e3,
inference(canonicalize,[],[normalize_8_24]) ).
cnf(refute_8_102,plain,
( op(e1,e0) = e3
| op(e1,e2) = e3
| op(e1,e3) = e3 ),
inference(resolve,[$cnf( $equal(e0,e3) )],[refute_8_100,refute_8_101]) ).
cnf(refute_8_103,plain,
( e3 != op(e2,e3)
| op(e1,e3) != e3
| op(e1,e3) = op(e2,e3) ),
introduced(tautology,[equality,[$cnf( $equal(op(e1,e3),e3) ),[1],$fot(op(e2,e3))]]) ).
cnf(refute_8_104,plain,
( e3 != op(e2,e3)
| op(e1,e0) = e3
| op(e1,e2) = e3
| op(e1,e3) = op(e2,e3) ),
inference(resolve,[$cnf( $equal(op(e1,e3),e3) )],[refute_8_102,refute_8_103]) ).
cnf(refute_8_105,plain,
( e3 != op(e2,e3)
| op(e1,e0) = e3
| op(e1,e2) = e3 ),
inference(resolve,[$cnf( $equal(op(e1,e3),op(e2,e3)) )],[refute_8_104,refute_8_91]) ).
cnf(refute_8_106,plain,
op(unit,e3) = e3,
inference(canonicalize,[],[normalize_8_25]) ).
cnf(refute_8_107,plain,
( op(unit,e3) != e3
| unit != e2
| op(e2,e3) = e3 ),
introduced(tautology,[equality,[$cnf( $equal(op(unit,e3),e3) ),[0,0],$fot(e2)]]) ).
cnf(refute_8_108,plain,
( op(unit,e3) != e3
| op(e2,e3) = e3
| unit = e0 ),
inference(resolve,[$cnf( $equal(unit,e2) )],[refute_8_84,refute_8_107]) ).
cnf(refute_8_109,plain,
( op(e2,e3) = e3
| unit = e0 ),
inference(resolve,[$cnf( $equal(op(unit,e3),e3) )],[refute_8_106,refute_8_108]) ).
cnf(refute_8_110,plain,
( e3 != e3
| op(e2,e3) != e3
| e3 = op(e2,e3) ),
introduced(tautology,[equality,[$cnf( ~ $equal(e3,op(e2,e3)) ),[1],$fot(e3)]]) ).
cnf(refute_8_111,plain,
( e3 != e3
| e3 = op(e2,e3)
| unit = e0 ),
inference(resolve,[$cnf( $equal(op(e2,e3),e3) )],[refute_8_109,refute_8_110]) ).
cnf(refute_8_112,plain,
( e3 != e3
| op(e1,e0) = e3
| op(e1,e2) = e3
| unit = e0 ),
inference(resolve,[$cnf( $equal(e3,op(e2,e3)) )],[refute_8_111,refute_8_105]) ).
cnf(refute_8_113,plain,
( e3 != e3
| op(e1,e0) = e3
| unit = e0 ),
inference(resolve,[$cnf( $equal(op(e1,e2),e3) )],[refute_8_112,refute_8_90]) ).
cnf(refute_8_114,plain,
( op(e1,e0) = e3
| unit = e0 ),
inference(resolve,[$cnf( $equal(e3,e3) )],[refute_8_39,refute_8_113]) ).
cnf(refute_8_115,plain,
( op(e1,unit) != e1
| unit != e2
| op(e1,e2) = e1 ),
introduced(tautology,[equality,[$cnf( $equal(op(e1,unit),e1) ),[0,1],$fot(e2)]]) ).
cnf(refute_8_116,plain,
( op(e1,unit) != e1
| op(e1,e2) = e1
| unit = e0 ),
inference(resolve,[$cnf( $equal(unit,e2) )],[refute_8_84,refute_8_115]) ).
cnf(refute_8_117,plain,
( op(e1,e2) = e1
| unit = e0 ),
inference(resolve,[$cnf( $equal(op(e1,unit),e1) )],[refute_8_41,refute_8_116]) ).
cnf(refute_8_118,plain,
( op(e1,e2) != e1
| op(e1,e2) != e4
| e1 = e4 ),
introduced(tautology,[equality,[$cnf( $equal(op(e1,e2),e4) ),[0],$fot(e1)]]) ).
cnf(refute_8_119,plain,
( op(e1,e2) != e4
| e1 = e4
| unit = e0 ),
inference(resolve,[$cnf( $equal(op(e1,e2),e1) )],[refute_8_117,refute_8_118]) ).
cnf(refute_8_120,plain,
( e1 = e4
| op(e1,e0) = e4
| op(e1,e1) = e4
| unit = e0 ),
inference(resolve,[$cnf( $equal(op(e1,e2),e4) )],[refute_8_40,refute_8_119]) ).
cnf(refute_8_121,plain,
( op(e1,e0) = e4
| op(e1,e1) = e4
| unit = e0 ),
inference(resolve,[$cnf( $equal(e1,e4) )],[refute_8_120,refute_8_83]) ).
cnf(refute_8_122,plain,
op(e2,e1) != op(e2,e2),
inference(canonicalize,[],[normalize_8_26]) ).
cnf(refute_8_123,plain,
op(unit,e2) = e2,
inference(canonicalize,[],[normalize_8_27]) ).
cnf(refute_8_124,plain,
( op(unit,e2) != e2
| unit != e2
| op(e2,e2) = e2 ),
introduced(tautology,[equality,[$cnf( $equal(op(unit,e2),e2) ),[0,0],$fot(e2)]]) ).
cnf(refute_8_125,plain,
( op(unit,e2) != e2
| op(e2,e2) = e2
| unit = e0 ),
inference(resolve,[$cnf( $equal(unit,e2) )],[refute_8_84,refute_8_124]) ).
cnf(refute_8_126,plain,
( op(e2,e2) = e2
| unit = e0 ),
inference(resolve,[$cnf( $equal(op(unit,e2),e2) )],[refute_8_123,refute_8_125]) ).
cnf(refute_8_127,plain,
( op(e2,e1) != e2
| op(e2,e2) != e2
| op(e2,e1) = op(e2,e2) ),
introduced(tautology,[equality,[$cnf( ~ $equal(op(e2,e1),op(e2,e2)) ),[1],$fot(e2)]]) ).
cnf(refute_8_128,plain,
( op(e2,e1) != e2
| op(e2,e1) = op(e2,e2)
| unit = e0 ),
inference(resolve,[$cnf( $equal(op(e2,e2),e2) )],[refute_8_126,refute_8_127]) ).
cnf(refute_8_129,plain,
( op(e2,e1) != e2
| unit = e0 ),
inference(resolve,[$cnf( $equal(op(e2,e1),op(e2,e2)) )],[refute_8_128,refute_8_122]) ).
cnf(refute_8_130,plain,
( op(e0,e1) = e2
| op(e1,e1) = e2
| op(e2,e1) = e2
| op(e3,e1) = e2
| op(e4,e1) = e2 ),
inference(canonicalize,[],[normalize_8_28]) ).
cnf(refute_8_131,plain,
( op(e4,e1) != e2
| op(e4,e1) != e3
| e3 = e2 ),
introduced(tautology,[equality,[$cnf( $equal(op(e4,e1),e2) ),[0],$fot(e3)]]) ).
cnf(refute_8_132,plain,
( op(e4,e1) != e2
| e3 = e2 ),
inference(resolve,[$cnf( $equal(op(e4,e1),e3) )],[refute_8_35,refute_8_131]) ).
cnf(refute_8_133,plain,
( e3 = e2
| op(e0,e1) = e2
| op(e1,e1) = e2
| op(e2,e1) = e2
| op(e3,e1) = e2 ),
inference(resolve,[$cnf( $equal(op(e4,e1),e2) )],[refute_8_130,refute_8_132]) ).
cnf(refute_8_134,plain,
e2 != e3,
inference(canonicalize,[],[normalize_8_29]) ).
cnf(refute_8_135,plain,
( e3 != e2
| e2 = e3 ),
inference(subst,[],[refute_8_6:[bind(X,$fot(e3)),bind(Y,$fot(e2))]]) ).
cnf(refute_8_136,plain,
e3 != e2,
inference(resolve,[$cnf( $equal(e2,e3) )],[refute_8_135,refute_8_134]) ).
cnf(refute_8_137,plain,
( op(e0,e1) = e2
| op(e1,e1) = e2
| op(e2,e1) = e2
| op(e3,e1) = e2 ),
inference(resolve,[$cnf( $equal(e3,e2) )],[refute_8_133,refute_8_136]) ).
cnf(refute_8_138,plain,
op(e3,e1) != op(e3,e4),
inference(canonicalize,[],[normalize_8_30]) ).
cnf(refute_8_139,plain,
( op(e3,e1) != e2
| op(e3,e4) != e2
| op(e3,e1) = op(e3,e4) ),
introduced(tautology,[equality,[$cnf( ~ $equal(op(e3,e1),op(e3,e4)) ),[1],$fot(e2)]]) ).
cnf(refute_8_140,plain,
( op(e3,e1) != e2
| op(e3,e1) = op(e3,e4) ),
inference(resolve,[$cnf( $equal(op(e3,e4),e2) )],[refute_8_71,refute_8_139]) ).
cnf(refute_8_141,plain,
op(e3,e1) != e2,
inference(resolve,[$cnf( $equal(op(e3,e1),op(e3,e4)) )],[refute_8_140,refute_8_138]) ).
cnf(refute_8_142,plain,
( op(e0,e1) = e2
| op(e1,e1) = e2
| op(e2,e1) = e2 ),
inference(resolve,[$cnf( $equal(op(e3,e1),e2) )],[refute_8_137,refute_8_141]) ).
cnf(refute_8_143,plain,
( e2 != e2
| op(e2,e1) != e2
| op(e2,e1) = e2 ),
introduced(tautology,[equality,[$cnf( $equal(op(e2,e1),e2) ),[0,0],$fot(e2)]]) ).
cnf(refute_8_144,plain,
( e2 != e2
| op(e0,e1) = e2
| op(e1,e1) = e2
| op(e2,e1) = e2 ),
inference(resolve,[$cnf( $equal(op(e2,e1),e2) )],[refute_8_142,refute_8_143]) ).
cnf(refute_8_145,plain,
( e2 != e2
| op(e0,e1) = e2
| op(e1,e1) = e2
| unit = e0 ),
inference(resolve,[$cnf( $equal(op(e2,e1),e2) )],[refute_8_144,refute_8_129]) ).
cnf(refute_8_146,plain,
e2 = e2,
introduced(tautology,[refl,[$fot(e2)]]) ).
cnf(refute_8_147,plain,
( op(e0,e1) = e2
| op(e1,e1) = e2
| unit = e0 ),
inference(resolve,[$cnf( $equal(e2,e2) )],[refute_8_146,refute_8_145]) ).
cnf(refute_8_148,plain,
( op(e1,e1) != e2
| op(e1,e1) != e4
| e2 = e4 ),
introduced(tautology,[equality,[$cnf( $equal(op(e1,e1),e4) ),[0],$fot(e2)]]) ).
cnf(refute_8_149,plain,
( op(e1,e1) != e4
| e2 = e4
| op(e0,e1) = e2
| unit = e0 ),
inference(resolve,[$cnf( $equal(op(e1,e1),e2) )],[refute_8_147,refute_8_148]) ).
cnf(refute_8_150,plain,
( e2 = e4
| op(e0,e1) = e2
| op(e1,e0) = e4
| unit = e0 ),
inference(resolve,[$cnf( $equal(op(e1,e1),e4) )],[refute_8_121,refute_8_149]) ).
cnf(refute_8_151,plain,
( op(e0,e1) = e2
| op(e1,e0) = e4
| unit = e0 ),
inference(resolve,[$cnf( $equal(e2,e4) )],[refute_8_150,refute_8_75]) ).
cnf(refute_8_152,plain,
( op(e1,e0) != e3
| op(e1,e0) != e4
| e4 = e3 ),
introduced(tautology,[equality,[$cnf( $equal(op(e1,e0),e3) ),[0],$fot(e4)]]) ).
cnf(refute_8_153,plain,
( op(e1,e0) != e3
| e4 = e3
| op(e0,e1) = e2
| unit = e0 ),
inference(resolve,[$cnf( $equal(op(e1,e0),e4) )],[refute_8_151,refute_8_152]) ).
cnf(refute_8_154,plain,
( e4 = e3
| op(e0,e1) = e2
| unit = e0 ),
inference(resolve,[$cnf( $equal(op(e1,e0),e3) )],[refute_8_114,refute_8_153]) ).
cnf(refute_8_155,plain,
e3 != e4,
inference(canonicalize,[],[normalize_8_31]) ).
cnf(refute_8_156,plain,
( e4 != e3
| e3 = e4 ),
inference(subst,[],[refute_8_6:[bind(X,$fot(e4)),bind(Y,$fot(e3))]]) ).
cnf(refute_8_157,plain,
e4 != e3,
inference(resolve,[$cnf( $equal(e3,e4) )],[refute_8_156,refute_8_155]) ).
cnf(refute_8_158,plain,
( op(e0,e1) = e2
| unit = e0 ),
inference(resolve,[$cnf( $equal(e4,e3) )],[refute_8_154,refute_8_157]) ).
cnf(refute_8_159,plain,
( e2 != op(e0,e3)
| op(e0,e1) != e2
| op(e0,e1) = op(e0,e3) ),
introduced(tautology,[equality,[$cnf( $equal(op(e0,e1),e2) ),[1],$fot(op(e0,e3))]]) ).
cnf(refute_8_160,plain,
( e2 != op(e0,e3)
| op(e0,e1) = op(e0,e3)
| unit = e0 ),
inference(resolve,[$cnf( $equal(op(e0,e1),e2) )],[refute_8_158,refute_8_159]) ).
cnf(refute_8_161,plain,
( e2 != op(e0,e3)
| unit = e0 ),
inference(resolve,[$cnf( $equal(op(e0,e1),op(e0,e3)) )],[refute_8_160,refute_8_42]) ).
cnf(refute_8_162,plain,
op(e2,e1) != op(e2,e3),
inference(canonicalize,[],[normalize_8_32]) ).
cnf(refute_8_163,plain,
op(unit,e1) = e1,
inference(canonicalize,[],[normalize_8_33]) ).
cnf(refute_8_164,plain,
( op(unit,e1) != e1
| unit != e2
| op(e2,e1) = e1 ),
introduced(tautology,[equality,[$cnf( $equal(op(unit,e1),e1) ),[0,0],$fot(e2)]]) ).
cnf(refute_8_165,plain,
( op(unit,e1) != e1
| op(e2,e1) = e1
| unit = e0 ),
inference(resolve,[$cnf( $equal(unit,e2) )],[refute_8_84,refute_8_164]) ).
cnf(refute_8_166,plain,
( op(e2,e1) = e1
| unit = e0 ),
inference(resolve,[$cnf( $equal(op(unit,e1),e1) )],[refute_8_163,refute_8_165]) ).
cnf(refute_8_167,plain,
( e1 != op(e2,e3)
| op(e2,e1) != e1
| op(e2,e1) = op(e2,e3) ),
introduced(tautology,[equality,[$cnf( $equal(op(e2,e1),e1) ),[1],$fot(op(e2,e3))]]) ).
cnf(refute_8_168,plain,
( e1 != op(e2,e3)
| op(e2,e1) = op(e2,e3)
| unit = e0 ),
inference(resolve,[$cnf( $equal(op(e2,e1),e1) )],[refute_8_166,refute_8_167]) ).
cnf(refute_8_169,plain,
( e1 != op(e2,e3)
| unit = e0 ),
inference(resolve,[$cnf( $equal(op(e2,e1),op(e2,e3)) )],[refute_8_168,refute_8_162]) ).
cnf(refute_8_170,plain,
op(op(e1,e3),e3) = e1,
inference(canonicalize,[],[normalize_8_34]) ).
cnf(refute_8_171,plain,
op(e2,e2) != op(e2,e3),
inference(canonicalize,[],[normalize_8_35]) ).
cnf(refute_8_172,plain,
( e2 != op(e2,e3)
| op(e2,e2) != e2
| op(e2,e2) = op(e2,e3) ),
introduced(tautology,[equality,[$cnf( $equal(op(e2,e2),e2) ),[1],$fot(op(e2,e3))]]) ).
cnf(refute_8_173,plain,
( e2 != op(e2,e3)
| op(e2,e2) = op(e2,e3)
| unit = e0 ),
inference(resolve,[$cnf( $equal(op(e2,e2),e2) )],[refute_8_126,refute_8_172]) ).
cnf(refute_8_174,plain,
( e2 != op(e2,e3)
| unit = e0 ),
inference(resolve,[$cnf( $equal(op(e2,e2),op(e2,e3)) )],[refute_8_173,refute_8_171]) ).
cnf(refute_8_175,plain,
op(e4,e0) != op(e4,e3),
inference(canonicalize,[],[normalize_8_36]) ).
cnf(refute_8_176,plain,
( op(e0,e3) = e2
| op(e1,e3) = e2
| op(e2,e3) = e2
| op(e3,e3) = e2
| op(e4,e3) = e2 ),
inference(canonicalize,[],[normalize_8_37]) ).
cnf(refute_8_177,plain,
op(e3,e3) != op(e3,e4),
inference(canonicalize,[],[normalize_8_38]) ).
cnf(refute_8_178,plain,
( op(e3,e3) != e2
| op(e3,e4) != e2
| op(e3,e3) = op(e3,e4) ),
introduced(tautology,[equality,[$cnf( ~ $equal(op(e3,e3),op(e3,e4)) ),[1],$fot(e2)]]) ).
cnf(refute_8_179,plain,
( op(e3,e3) != e2
| op(e3,e3) = op(e3,e4) ),
inference(resolve,[$cnf( $equal(op(e3,e4),e2) )],[refute_8_71,refute_8_178]) ).
cnf(refute_8_180,plain,
op(e3,e3) != e2,
inference(resolve,[$cnf( $equal(op(e3,e3),op(e3,e4)) )],[refute_8_179,refute_8_177]) ).
cnf(refute_8_181,plain,
( op(e0,e3) = e2
| op(e1,e3) = e2
| op(e2,e3) = e2
| op(e4,e3) = e2 ),
inference(resolve,[$cnf( $equal(op(e3,e3),e2) )],[refute_8_176,refute_8_180]) ).
cnf(refute_8_182,plain,
( op(e4,e0) != e2
| op(e4,e3) != e2
| op(e4,e0) = op(e4,e3) ),
introduced(tautology,[equality,[$cnf( ~ $equal(op(e4,e0),op(e4,e3)) ),[1],$fot(e2)]]) ).
cnf(refute_8_183,plain,
( op(e4,e0) != e2
| op(e0,e3) = e2
| op(e1,e3) = e2
| op(e2,e3) = e2
| op(e4,e0) = op(e4,e3) ),
inference(resolve,[$cnf( $equal(op(e4,e3),e2) )],[refute_8_181,refute_8_182]) ).
cnf(refute_8_184,plain,
( op(e4,e0) != e2
| op(e0,e3) = e2
| op(e1,e3) = e2
| op(e2,e3) = e2 ),
inference(resolve,[$cnf( $equal(op(e4,e0),op(e4,e3)) )],[refute_8_183,refute_8_175]) ).
cnf(refute_8_185,plain,
op(e4,e0) != op(e4,e2),
inference(canonicalize,[],[normalize_8_39]) ).
cnf(refute_8_186,plain,
op(e4,unit) = e4,
inference(canonicalize,[],[normalize_8_40]) ).
cnf(refute_8_187,plain,
( op(e4,unit) != e4
| unit != e2
| op(e4,e2) = e4 ),
introduced(tautology,[equality,[$cnf( $equal(op(e4,unit),e4) ),[0,1],$fot(e2)]]) ).
cnf(refute_8_188,plain,
( op(e4,unit) != e4
| op(e4,e2) = e4
| unit = e0 ),
inference(resolve,[$cnf( $equal(unit,e2) )],[refute_8_84,refute_8_187]) ).
cnf(refute_8_189,plain,
( op(e4,e2) = e4
| unit = e0 ),
inference(resolve,[$cnf( $equal(op(e4,unit),e4) )],[refute_8_186,refute_8_188]) ).
cnf(refute_8_190,plain,
( op(e4,e0) != e4
| op(e4,e2) != e4
| op(e4,e0) = op(e4,e2) ),
introduced(tautology,[equality,[$cnf( ~ $equal(op(e4,e0),op(e4,e2)) ),[1],$fot(e4)]]) ).
cnf(refute_8_191,plain,
( op(e4,e0) != e4
| op(e4,e0) = op(e4,e2)
| unit = e0 ),
inference(resolve,[$cnf( $equal(op(e4,e2),e4) )],[refute_8_189,refute_8_190]) ).
cnf(refute_8_192,plain,
( op(e4,e0) != e4
| unit = e0 ),
inference(resolve,[$cnf( $equal(op(e4,e0),op(e4,e2)) )],[refute_8_191,refute_8_185]) ).
cnf(refute_8_193,plain,
op(e2,e0) != op(e4,e0),
inference(canonicalize,[],[normalize_8_41]) ).
cnf(refute_8_194,plain,
( op(e4,e0) = e0
| op(e4,e0) = e1
| op(e4,e0) = e2
| op(e4,e0) = e3
| op(e4,e0) = e4 ),
inference(canonicalize,[],[normalize_8_43]) ).
cnf(refute_8_195,plain,
op(e4,e0) != op(e4,e4),
inference(canonicalize,[],[normalize_8_44]) ).
cnf(refute_8_196,plain,
( op(e4,e0) != e1
| op(e4,e4) != e1
| op(e4,e0) = op(e4,e4) ),
introduced(tautology,[equality,[$cnf( ~ $equal(op(e4,e0),op(e4,e4)) ),[1],$fot(e1)]]) ).
cnf(refute_8_197,plain,
( op(e4,e0) != e1
| op(e4,e0) = op(e4,e4) ),
inference(resolve,[$cnf( $equal(op(e4,e4),e1) )],[refute_8_8,refute_8_196]) ).
cnf(refute_8_198,plain,
op(e4,e0) != e1,
inference(resolve,[$cnf( $equal(op(e4,e0),op(e4,e4)) )],[refute_8_197,refute_8_195]) ).
cnf(refute_8_199,plain,
( op(e4,e0) = e0
| op(e4,e0) = e2
| op(e4,e0) = e3
| op(e4,e0) = e4 ),
inference(resolve,[$cnf( $equal(op(e4,e0),e1) )],[refute_8_194,refute_8_198]) ).
cnf(refute_8_200,plain,
op(e4,e0) != op(e4,e1),
inference(canonicalize,[],[normalize_8_45]) ).
cnf(refute_8_201,plain,
( op(e4,e0) != e3
| op(e4,e1) != e3
| op(e4,e0) = op(e4,e1) ),
introduced(tautology,[equality,[$cnf( ~ $equal(op(e4,e0),op(e4,e1)) ),[1],$fot(e3)]]) ).
cnf(refute_8_202,plain,
( op(e4,e0) != e3
| op(e4,e0) = op(e4,e1) ),
inference(resolve,[$cnf( $equal(op(e4,e1),e3) )],[refute_8_35,refute_8_201]) ).
cnf(refute_8_203,plain,
op(e4,e0) != e3,
inference(resolve,[$cnf( $equal(op(e4,e0),op(e4,e1)) )],[refute_8_202,refute_8_200]) ).
cnf(refute_8_204,plain,
( op(e4,e0) = e0
| op(e4,e0) = e2
| op(e4,e0) = e4 ),
inference(resolve,[$cnf( $equal(op(e4,e0),e3) )],[refute_8_199,refute_8_203]) ).
cnf(refute_8_205,plain,
( op(e2,e0) != e0
| op(e4,e0) != e0
| op(e2,e0) = op(e4,e0) ),
introduced(tautology,[equality,[$cnf( ~ $equal(op(e2,e0),op(e4,e0)) ),[1],$fot(e0)]]) ).
cnf(refute_8_206,plain,
( op(e2,e0) != e0
| op(e2,e0) = op(e4,e0)
| op(e4,e0) = e2
| op(e4,e0) = e4 ),
inference(resolve,[$cnf( $equal(op(e4,e0),e0) )],[refute_8_204,refute_8_205]) ).
cnf(refute_8_207,plain,
( op(e2,e0) != e0
| op(e4,e0) = e2
| op(e4,e0) = e4 ),
inference(resolve,[$cnf( $equal(op(e2,e0),op(e4,e0)) )],[refute_8_206,refute_8_193]) ).
cnf(refute_8_208,plain,
op(unit,e0) = e0,
inference(canonicalize,[],[normalize_8_46]) ).
cnf(refute_8_209,plain,
( op(unit,e0) != e0
| unit != e2
| op(e2,e0) = e0 ),
introduced(tautology,[equality,[$cnf( $equal(op(unit,e0),e0) ),[0,0],$fot(e2)]]) ).
cnf(refute_8_210,plain,
( op(unit,e0) != e0
| op(e2,e0) = e0
| unit = e0 ),
inference(resolve,[$cnf( $equal(unit,e2) )],[refute_8_84,refute_8_209]) ).
cnf(refute_8_211,plain,
( op(e2,e0) = e0
| unit = e0 ),
inference(resolve,[$cnf( $equal(op(unit,e0),e0) )],[refute_8_208,refute_8_210]) ).
cnf(refute_8_212,plain,
( e0 != e0
| op(e2,e0) != e0
| op(e2,e0) = e0 ),
introduced(tautology,[equality,[$cnf( $equal(op(e2,e0),e0) ),[0,1],$fot(e0)]]) ).
cnf(refute_8_213,plain,
( e0 != e0
| op(e2,e0) = e0
| unit = e0 ),
inference(resolve,[$cnf( $equal(op(e2,e0),e0) )],[refute_8_211,refute_8_212]) ).
cnf(refute_8_214,plain,
( e0 != e0
| op(e4,e0) = e2
| op(e4,e0) = e4
| unit = e0 ),
inference(resolve,[$cnf( $equal(op(e2,e0),e0) )],[refute_8_213,refute_8_207]) ).
cnf(refute_8_215,plain,
e0 = e0,
introduced(tautology,[refl,[$fot(e0)]]) ).
cnf(refute_8_216,plain,
( op(e4,e0) = e2
| op(e4,e0) = e4
| unit = e0 ),
inference(resolve,[$cnf( $equal(e0,e0) )],[refute_8_215,refute_8_214]) ).
cnf(refute_8_217,plain,
( e4 != e4
| op(e4,e0) != e4
| op(e4,e0) = e4 ),
introduced(tautology,[equality,[$cnf( $equal(op(e4,e0),e4) ),[0,0],$fot(e4)]]) ).
cnf(refute_8_218,plain,
( e4 != e4
| op(e4,e0) = e2
| op(e4,e0) = e4
| unit = e0 ),
inference(resolve,[$cnf( $equal(op(e4,e0),e4) )],[refute_8_216,refute_8_217]) ).
cnf(refute_8_219,plain,
( e4 != e4
| op(e4,e0) = e2
| unit = e0 ),
inference(resolve,[$cnf( $equal(op(e4,e0),e4) )],[refute_8_218,refute_8_192]) ).
cnf(refute_8_220,plain,
e4 = e4,
introduced(tautology,[refl,[$fot(e4)]]) ).
cnf(refute_8_221,plain,
( op(e4,e0) = e2
| unit = e0 ),
inference(resolve,[$cnf( $equal(e4,e4) )],[refute_8_220,refute_8_219]) ).
cnf(refute_8_222,plain,
( e2 != e2
| op(e4,e0) != e2
| op(e4,e0) = e2 ),
introduced(tautology,[equality,[$cnf( $equal(op(e4,e0),e2) ),[1],$fot(e2)]]) ).
cnf(refute_8_223,plain,
( e2 != e2
| op(e4,e0) = e2
| unit = e0 ),
inference(resolve,[$cnf( $equal(op(e4,e0),e2) )],[refute_8_221,refute_8_222]) ).
cnf(refute_8_224,plain,
( e2 != e2
| op(e0,e3) = e2
| op(e1,e3) = e2
| op(e2,e3) = e2
| unit = e0 ),
inference(resolve,[$cnf( $equal(op(e4,e0),e2) )],[refute_8_223,refute_8_184]) ).
cnf(refute_8_225,plain,
( op(e0,e3) = e2
| op(e1,e3) = e2
| op(e2,e3) = e2
| unit = e0 ),
inference(resolve,[$cnf( $equal(e2,e2) )],[refute_8_146,refute_8_224]) ).
cnf(refute_8_226,plain,
( e2 != e2
| op(e2,e3) != e2
| e2 = op(e2,e3) ),
introduced(tautology,[equality,[$cnf( ~ $equal(e2,op(e2,e3)) ),[1],$fot(e2)]]) ).
cnf(refute_8_227,plain,
( e2 != e2
| e2 = op(e2,e3)
| op(e0,e3) = e2
| op(e1,e3) = e2
| unit = e0 ),
inference(resolve,[$cnf( $equal(op(e2,e3),e2) )],[refute_8_225,refute_8_226]) ).
cnf(refute_8_228,plain,
( e2 != e2
| op(e0,e3) = e2
| op(e1,e3) = e2
| unit = e0 ),
inference(resolve,[$cnf( $equal(e2,op(e2,e3)) )],[refute_8_227,refute_8_174]) ).
cnf(refute_8_229,plain,
( op(e0,e3) = e2
| op(e1,e3) = e2
| unit = e0 ),
inference(resolve,[$cnf( $equal(e2,e2) )],[refute_8_146,refute_8_228]) ).
cnf(refute_8_230,plain,
( op(e1,e3) != e2
| op(op(e1,e3),e3) != e1
| op(e2,e3) = e1 ),
introduced(tautology,[equality,[$cnf( $equal(op(op(e1,e3),e3),e1) ),[0,0],$fot(e2)]]) ).
cnf(refute_8_231,plain,
( op(op(e1,e3),e3) != e1
| op(e0,e3) = e2
| op(e2,e3) = e1
| unit = e0 ),
inference(resolve,[$cnf( $equal(op(e1,e3),e2) )],[refute_8_229,refute_8_230]) ).
cnf(refute_8_232,plain,
( op(e0,e3) = e2
| op(e2,e3) = e1
| unit = e0 ),
inference(resolve,[$cnf( $equal(op(op(e1,e3),e3),e1) )],[refute_8_170,refute_8_231]) ).
cnf(refute_8_233,plain,
( e1 != e1
| op(e2,e3) != e1
| e1 = op(e2,e3) ),
introduced(tautology,[equality,[$cnf( ~ $equal(e1,op(e2,e3)) ),[1],$fot(e1)]]) ).
cnf(refute_8_234,plain,
( e1 != e1
| e1 = op(e2,e3)
| op(e0,e3) = e2
| unit = e0 ),
inference(resolve,[$cnf( $equal(op(e2,e3),e1) )],[refute_8_232,refute_8_233]) ).
cnf(refute_8_235,plain,
( e1 != e1
| op(e0,e3) = e2
| unit = e0 ),
inference(resolve,[$cnf( $equal(e1,op(e2,e3)) )],[refute_8_234,refute_8_169]) ).
cnf(refute_8_236,plain,
e1 = e1,
introduced(tautology,[refl,[$fot(e1)]]) ).
cnf(refute_8_237,plain,
( op(e0,e3) = e2
| unit = e0 ),
inference(resolve,[$cnf( $equal(e1,e1) )],[refute_8_236,refute_8_235]) ).
cnf(refute_8_238,plain,
( e2 != e2
| op(e0,e3) != e2
| e2 = op(e0,e3) ),
introduced(tautology,[equality,[$cnf( ~ $equal(e2,op(e0,e3)) ),[1],$fot(e2)]]) ).
cnf(refute_8_239,plain,
( e2 != e2
| e2 = op(e0,e3)
| unit = e0 ),
inference(resolve,[$cnf( $equal(op(e0,e3),e2) )],[refute_8_237,refute_8_238]) ).
cnf(refute_8_240,plain,
( e2 != e2
| unit = e0 ),
inference(resolve,[$cnf( $equal(e2,op(e0,e3)) )],[refute_8_239,refute_8_161]) ).
cnf(refute_8_241,plain,
unit = e0,
inference(resolve,[$cnf( $equal(e2,e2) )],[refute_8_146,refute_8_240]) ).
cnf(refute_8_242,plain,
op(e1,unit) = op(e1,unit),
introduced(tautology,[refl,[$fot(op(e1,unit))]]) ).
cnf(refute_8_243,plain,
( op(e1,unit) != op(e1,unit)
| unit != e0
| op(e1,unit) = op(e1,e0) ),
introduced(tautology,[equality,[$cnf( $equal(op(e1,unit),op(e1,unit)) ),[1,1],$fot(e0)]]) ).
cnf(refute_8_244,plain,
( unit != e0
| op(e1,unit) = op(e1,e0) ),
inference(resolve,[$cnf( $equal(op(e1,unit),op(e1,unit)) )],[refute_8_242,refute_8_243]) ).
cnf(refute_8_245,plain,
op(e1,unit) = op(e1,e0),
inference(resolve,[$cnf( $equal(unit,e0) )],[refute_8_241,refute_8_244]) ).
cnf(refute_8_246,plain,
( op(e1,unit) != e1
| op(e1,unit) != op(e1,e0)
| op(e1,e0) = e1 ),
introduced(tautology,[equality,[$cnf( $equal(op(e1,unit),e1) ),[0],$fot(op(e1,e0))]]) ).
cnf(refute_8_247,plain,
( op(e1,unit) != e1
| op(e1,e0) = e1 ),
inference(resolve,[$cnf( $equal(op(e1,unit),op(e1,e0)) )],[refute_8_245,refute_8_246]) ).
cnf(refute_8_248,plain,
op(e1,e0) = e1,
inference(resolve,[$cnf( $equal(op(e1,unit),e1) )],[refute_8_41,refute_8_247]) ).
cnf(refute_8_249,plain,
( op(e1,e0) != e1
| op(e1,e0) != e4
| e1 = e4 ),
introduced(tautology,[equality,[$cnf( $equal(op(e1,e0),e4) ),[0],$fot(e1)]]) ).
cnf(refute_8_250,plain,
( op(e1,e0) != e4
| e1 = e4 ),
inference(resolve,[$cnf( $equal(op(e1,e0),e1) )],[refute_8_248,refute_8_249]) ).
cnf(refute_8_251,plain,
( e1 = e4
| op(e1,e1) = e4
| op(e1,e2) = e4 ),
inference(resolve,[$cnf( $equal(op(e1,e0),e4) )],[refute_8_40,refute_8_250]) ).
cnf(refute_8_252,plain,
op(unit,e1) = op(unit,e1),
introduced(tautology,[refl,[$fot(op(unit,e1))]]) ).
cnf(refute_8_253,plain,
( op(unit,e1) != op(unit,e1)
| unit != e0
| op(unit,e1) = op(e0,e1) ),
introduced(tautology,[equality,[$cnf( $equal(op(unit,e1),op(unit,e1)) ),[1,0],$fot(e0)]]) ).
cnf(refute_8_254,plain,
( unit != e0
| op(unit,e1) = op(e0,e1) ),
inference(resolve,[$cnf( $equal(op(unit,e1),op(unit,e1)) )],[refute_8_252,refute_8_253]) ).
cnf(refute_8_255,plain,
op(unit,e1) = op(e0,e1),
inference(resolve,[$cnf( $equal(unit,e0) )],[refute_8_241,refute_8_254]) ).
cnf(refute_8_256,plain,
( op(unit,e1) != e1
| op(unit,e1) != op(e0,e1)
| op(e0,e1) = e1 ),
introduced(tautology,[equality,[$cnf( $equal(op(unit,e1),e1) ),[0],$fot(op(e0,e1))]]) ).
cnf(refute_8_257,plain,
( op(unit,e1) != e1
| op(e0,e1) = e1 ),
inference(resolve,[$cnf( $equal(op(unit,e1),op(e0,e1)) )],[refute_8_255,refute_8_256]) ).
cnf(refute_8_258,plain,
op(e0,e1) = e1,
inference(resolve,[$cnf( $equal(op(unit,e1),e1) )],[refute_8_163,refute_8_257]) ).
cnf(refute_8_259,plain,
( op(e0,e1) != e1
| op(e0,e1) != e2
| e1 = e2 ),
introduced(tautology,[equality,[$cnf( $equal(op(e0,e1),e2) ),[0],$fot(e1)]]) ).
cnf(refute_8_260,plain,
( op(e0,e1) != e2
| e1 = e2 ),
inference(resolve,[$cnf( $equal(op(e0,e1),e1) )],[refute_8_258,refute_8_259]) ).
cnf(refute_8_261,plain,
( e1 = e2
| op(e1,e1) = e2
| op(e2,e1) = e2 ),
inference(resolve,[$cnf( $equal(op(e0,e1),e2) )],[refute_8_142,refute_8_260]) ).
cnf(refute_8_262,plain,
e1 != e2,
inference(canonicalize,[],[normalize_8_47]) ).
cnf(refute_8_263,plain,
( op(e1,e1) = e2
| op(e2,e1) = e2 ),
inference(resolve,[$cnf( $equal(e1,e2) )],[refute_8_261,refute_8_262]) ).
cnf(refute_8_264,plain,
op(e2,e0) != op(e2,e1),
inference(canonicalize,[],[normalize_8_48]) ).
cnf(refute_8_265,plain,
op(e2,unit) = e2,
inference(canonicalize,[],[normalize_8_49]) ).
cnf(refute_8_266,plain,
op(e2,unit) = op(e2,unit),
introduced(tautology,[refl,[$fot(op(e2,unit))]]) ).
cnf(refute_8_267,plain,
( op(e2,unit) != op(e2,unit)
| unit != e0
| op(e2,unit) = op(e2,e0) ),
introduced(tautology,[equality,[$cnf( $equal(op(e2,unit),op(e2,unit)) ),[1,1],$fot(e0)]]) ).
cnf(refute_8_268,plain,
( unit != e0
| op(e2,unit) = op(e2,e0) ),
inference(resolve,[$cnf( $equal(op(e2,unit),op(e2,unit)) )],[refute_8_266,refute_8_267]) ).
cnf(refute_8_269,plain,
op(e2,unit) = op(e2,e0),
inference(resolve,[$cnf( $equal(unit,e0) )],[refute_8_241,refute_8_268]) ).
cnf(refute_8_270,plain,
( op(e2,unit) != e2
| op(e2,unit) != op(e2,e0)
| op(e2,e0) = e2 ),
introduced(tautology,[equality,[$cnf( $equal(op(e2,unit),e2) ),[0],$fot(op(e2,e0))]]) ).
cnf(refute_8_271,plain,
( op(e2,unit) != e2
| op(e2,e0) = e2 ),
inference(resolve,[$cnf( $equal(op(e2,unit),op(e2,e0)) )],[refute_8_269,refute_8_270]) ).
cnf(refute_8_272,plain,
op(e2,e0) = e2,
inference(resolve,[$cnf( $equal(op(e2,unit),e2) )],[refute_8_265,refute_8_271]) ).
cnf(refute_8_273,plain,
( e2 != op(e2,e1)
| op(e2,e0) != e2
| op(e2,e0) = op(e2,e1) ),
introduced(tautology,[equality,[$cnf( $equal(op(e2,e0),e2) ),[1],$fot(op(e2,e1))]]) ).
cnf(refute_8_274,plain,
( e2 != op(e2,e1)
| op(e2,e0) = op(e2,e1) ),
inference(resolve,[$cnf( $equal(op(e2,e0),e2) )],[refute_8_272,refute_8_273]) ).
cnf(refute_8_275,plain,
e2 != op(e2,e1),
inference(resolve,[$cnf( $equal(op(e2,e0),op(e2,e1)) )],[refute_8_274,refute_8_264]) ).
cnf(refute_8_276,plain,
( op(e2,e1) != e2
| e2 = op(e2,e1) ),
inference(subst,[],[refute_8_6:[bind(X,$fot(op(e2,e1))),bind(Y,$fot(e2))]]) ).
cnf(refute_8_277,plain,
op(e2,e1) != e2,
inference(resolve,[$cnf( $equal(e2,op(e2,e1)) )],[refute_8_276,refute_8_275]) ).
cnf(refute_8_278,plain,
op(e1,e1) = e2,
inference(resolve,[$cnf( $equal(op(e2,e1),e2) )],[refute_8_263,refute_8_277]) ).
cnf(refute_8_279,plain,
( op(e1,e1) != e4
| e2 = e4 ),
inference(resolve,[$cnf( $equal(op(e1,e1),e2) )],[refute_8_278,refute_8_148]) ).
cnf(refute_8_280,plain,
( e1 = e4
| e2 = e4
| op(e1,e2) = e4 ),
inference(resolve,[$cnf( $equal(op(e1,e1),e4) )],[refute_8_251,refute_8_279]) ).
cnf(refute_8_281,plain,
( op(e1,e0) != e1
| op(e1,e0) != e3
| e1 = e3 ),
introduced(tautology,[equality,[$cnf( $equal(op(e1,e0),e3) ),[0],$fot(e1)]]) ).
cnf(refute_8_282,plain,
( op(e1,e0) != e3
| e1 = e3 ),
inference(resolve,[$cnf( $equal(op(e1,e0),e1) )],[refute_8_248,refute_8_281]) ).
cnf(refute_8_283,plain,
( e1 = e3
| op(e1,e2) = e3
| op(e1,e3) = e3 ),
inference(resolve,[$cnf( $equal(op(e1,e0),e3) )],[refute_8_102,refute_8_282]) ).
cnf(refute_8_284,plain,
op(e4,e1) != op(e4,e4),
inference(canonicalize,[],[normalize_8_50]) ).
cnf(refute_8_285,plain,
( e3 != op(e4,e4)
| op(e4,e1) != e3
| op(e4,e1) = op(e4,e4) ),
introduced(tautology,[equality,[$cnf( $equal(op(e4,e1),e3) ),[1],$fot(op(e4,e4))]]) ).
cnf(refute_8_286,plain,
( e3 != op(e4,e4)
| op(e4,e1) = op(e4,e4) ),
inference(resolve,[$cnf( $equal(op(e4,e1),e3) )],[refute_8_35,refute_8_285]) ).
cnf(refute_8_287,plain,
( e3 != e1
| op(e4,e4) != e1
| e3 = op(e4,e4) ),
introduced(tautology,[equality,[$cnf( ~ $equal(e3,op(e4,e4)) ),[1],$fot(e1)]]) ).
cnf(refute_8_288,plain,
( e3 != e1
| e3 = op(e4,e4) ),
inference(resolve,[$cnf( $equal(op(e4,e4),e1) )],[refute_8_8,refute_8_287]) ).
cnf(refute_8_289,plain,
( e3 != e1
| op(e4,e1) = op(e4,e4) ),
inference(resolve,[$cnf( $equal(e3,op(e4,e4)) )],[refute_8_288,refute_8_286]) ).
cnf(refute_8_290,plain,
e3 != e1,
inference(resolve,[$cnf( $equal(op(e4,e1),op(e4,e4)) )],[refute_8_289,refute_8_284]) ).
cnf(refute_8_291,plain,
( e1 != e3
| e3 = e1 ),
inference(subst,[],[refute_8_6:[bind(X,$fot(e1)),bind(Y,$fot(e3))]]) ).
cnf(refute_8_292,plain,
e1 != e3,
inference(resolve,[$cnf( $equal(e3,e1) )],[refute_8_291,refute_8_290]) ).
cnf(refute_8_293,plain,
( op(e1,e2) = e3
| op(e1,e3) = e3 ),
inference(resolve,[$cnf( $equal(e1,e3) )],[refute_8_283,refute_8_292]) ).
cnf(refute_8_294,plain,
op(e0,e3) != op(e1,e3),
inference(canonicalize,[],[normalize_8_51]) ).
cnf(refute_8_295,plain,
op(unit,e3) = op(unit,e3),
introduced(tautology,[refl,[$fot(op(unit,e3))]]) ).
cnf(refute_8_296,plain,
( op(unit,e3) != op(unit,e3)
| unit != e0
| op(unit,e3) = op(e0,e3) ),
introduced(tautology,[equality,[$cnf( $equal(op(unit,e3),op(unit,e3)) ),[1,0],$fot(e0)]]) ).
cnf(refute_8_297,plain,
( unit != e0
| op(unit,e3) = op(e0,e3) ),
inference(resolve,[$cnf( $equal(op(unit,e3),op(unit,e3)) )],[refute_8_295,refute_8_296]) ).
cnf(refute_8_298,plain,
op(unit,e3) = op(e0,e3),
inference(resolve,[$cnf( $equal(unit,e0) )],[refute_8_241,refute_8_297]) ).
cnf(refute_8_299,plain,
( op(unit,e3) != e3
| op(unit,e3) != op(e0,e3)
| op(e0,e3) = e3 ),
introduced(tautology,[equality,[$cnf( $equal(op(unit,e3),e3) ),[0],$fot(op(e0,e3))]]) ).
cnf(refute_8_300,plain,
( op(unit,e3) != e3
| op(e0,e3) = e3 ),
inference(resolve,[$cnf( $equal(op(unit,e3),op(e0,e3)) )],[refute_8_298,refute_8_299]) ).
cnf(refute_8_301,plain,
op(e0,e3) = e3,
inference(resolve,[$cnf( $equal(op(unit,e3),e3) )],[refute_8_106,refute_8_300]) ).
cnf(refute_8_302,plain,
( e3 != op(e1,e3)
| op(e0,e3) != e3
| op(e0,e3) = op(e1,e3) ),
introduced(tautology,[equality,[$cnf( $equal(op(e0,e3),e3) ),[1],$fot(op(e1,e3))]]) ).
cnf(refute_8_303,plain,
( e3 != op(e1,e3)
| op(e0,e3) = op(e1,e3) ),
inference(resolve,[$cnf( $equal(op(e0,e3),e3) )],[refute_8_301,refute_8_302]) ).
cnf(refute_8_304,plain,
e3 != op(e1,e3),
inference(resolve,[$cnf( $equal(op(e0,e3),op(e1,e3)) )],[refute_8_303,refute_8_294]) ).
cnf(refute_8_305,plain,
( op(e1,e3) != e3
| e3 = op(e1,e3) ),
inference(subst,[],[refute_8_6:[bind(X,$fot(op(e1,e3))),bind(Y,$fot(e3))]]) ).
cnf(refute_8_306,plain,
op(e1,e3) != e3,
inference(resolve,[$cnf( $equal(e3,op(e1,e3)) )],[refute_8_305,refute_8_304]) ).
cnf(refute_8_307,plain,
op(e1,e2) = e3,
inference(resolve,[$cnf( $equal(op(e1,e3),e3) )],[refute_8_293,refute_8_306]) ).
cnf(refute_8_308,plain,
( op(e1,e2) != e3
| op(e1,e2) != e4
| e3 = e4 ),
introduced(tautology,[equality,[$cnf( $equal(op(e1,e2),e4) ),[0],$fot(e3)]]) ).
cnf(refute_8_309,plain,
( op(e1,e2) != e4
| e3 = e4 ),
inference(resolve,[$cnf( $equal(op(e1,e2),e3) )],[refute_8_307,refute_8_308]) ).
cnf(refute_8_310,plain,
( e1 = e4
| e2 = e4
| e3 = e4 ),
inference(resolve,[$cnf( $equal(op(e1,e2),e4) )],[refute_8_280,refute_8_309]) ).
cnf(refute_8_311,plain,
( e2 = e4
| e3 = e4 ),
inference(resolve,[$cnf( $equal(e1,e4) )],[refute_8_310,refute_8_83]) ).
cnf(refute_8_312,plain,
e3 = e4,
inference(resolve,[$cnf( $equal(e2,e4) )],[refute_8_311,refute_8_75]) ).
cnf(refute_8_313,plain,
$false,
inference(resolve,[$cnf( $equal(e3,e4) )],[refute_8_312,refute_8_155]) ).
fof(negate_9_0,plain,
~ ( ( ( ( op(e0,e0) = e0
& op(e0,e0) = e0
& op(e0,e0) != e0 )
| ( op(e0,e0) = e1
& op(e1,e1) = e0
& op(e0,e1) != e0 )
| ( op(e0,e0) = e2
& op(e2,e2) = e0
& op(e0,e2) != e0 )
| ( op(e0,e0) = e3
& op(e3,e3) = e0
& op(e0,e3) != e0 )
| ( op(e0,e0) = e4
& op(e4,e4) = e0
& op(e0,e4) != e0 )
| ( op(e1,e1) = e0
& op(e0,e0) = e1
& op(e1,e0) != e1 )
| ( op(e1,e1) = e1
& op(e1,e1) = e1
& op(e1,e1) != e1 )
| ( op(e1,e1) = e2
& op(e2,e2) = e1
& op(e1,e2) != e1 )
| ( op(e1,e1) = e3
& op(e3,e3) = e1
& op(e1,e3) != e1 )
| ( op(e1,e1) = e4
& op(e4,e4) = e1
& op(e1,e4) != e1 )
| ( op(e2,e2) = e0
& op(e0,e0) = e2
& op(e2,e0) != e2 )
| ( op(e2,e2) = e1
& op(e1,e1) = e2
& op(e2,e1) != e2 )
| ( op(e2,e2) = e2
& op(e2,e2) = e2
& op(e2,e2) != e2 )
| ( op(e2,e2) = e3
& op(e3,e3) = e2
& op(e2,e3) != e2 )
| ( op(e2,e2) = e4
& op(e4,e4) = e2
& op(e2,e4) != e2 )
| ( op(e3,e3) = e0
& op(e0,e0) = e3
& op(e3,e0) != e3 )
| ( op(e3,e3) = e1
& op(e1,e1) = e3
& op(e3,e1) != e3 )
| ( op(e3,e3) = e2
& op(e2,e2) = e3
& op(e3,e2) != e3 )
| ( op(e3,e3) = e3
& op(e3,e3) = e3
& op(e3,e3) != e3 )
| ( op(e3,e3) = e4
& op(e4,e4) = e3
& op(e3,e4) != e3 )
| ( op(e4,e4) = e0
& op(e0,e0) = e4
& op(e4,e0) != e4 )
| ( op(e4,e4) = e1
& op(e1,e1) = e4
& op(e4,e1) != e4 )
| ( op(e4,e4) = e2
& op(e2,e2) = e4
& op(e4,e2) != e4 )
| ( op(e4,e4) = e3
& op(e3,e3) = e4
& op(e4,e3) != e4 )
| ( op(e4,e4) = e4
& op(e4,e4) = e4
& op(e4,e4) != e4 ) )
& ~ ( op(e0,e0) != op(e0,e0)
& op(op(e0,e0),e0) = e0
& op(op(e0,e0),e0) != e0 )
& ~ ( op(e1,e0) != op(e0,e1)
& op(op(e0,e1),e1) = e0
& op(op(e0,e1),e0) != e1 )
& ~ ( op(e2,e0) != op(e0,e2)
& op(op(e0,e2),e2) = e0
& op(op(e0,e2),e0) != e2 )
& ~ ( op(e3,e0) != op(e0,e3)
& op(op(e0,e3),e3) = e0
& op(op(e0,e3),e0) != e3 )
& ~ ( op(e4,e0) != op(e0,e4)
& op(op(e0,e4),e4) = e0
& op(op(e0,e4),e0) != e4 )
& ~ ( op(e0,e1) != op(e1,e0)
& op(op(e1,e0),e0) = e1
& op(op(e1,e0),e1) != e0 )
& ~ ( op(e1,e1) != op(e1,e1)
& op(op(e1,e1),e1) = e1
& op(op(e1,e1),e1) != e1 )
& ~ ( op(e2,e1) != op(e1,e2)
& op(op(e1,e2),e2) = e1
& op(op(e1,e2),e1) != e2 )
& ~ ( op(e3,e1) != op(e1,e3)
& op(op(e1,e3),e3) = e1
& op(op(e1,e3),e1) != e3 )
& op(e4,e1) != op(e1,e4)
& op(op(e1,e4),e4) = e1 )
=> op(op(e1,e4),e1) = e4 ),
inference(negate,[],[subgoal_9]) ).
fof(normalize_9_0,plain,
( op(e4,e1) != op(e1,e4)
& op(op(e1,e4),e1) != e4
& op(op(e1,e4),e4) = e1
& ( op(op(e0,e1),e1) != e0
| op(e1,e0) = op(e0,e1)
| op(op(e0,e1),e0) = e1 )
& ( op(op(e0,e2),e2) != e0
| op(e2,e0) = op(e0,e2)
| op(op(e0,e2),e0) = e2 )
& ( op(op(e0,e3),e3) != e0
| op(e3,e0) = op(e0,e3)
| op(op(e0,e3),e0) = e3 )
& ( op(op(e0,e4),e4) != e0
| op(e4,e0) = op(e0,e4)
| op(op(e0,e4),e0) = e4 )
& ( op(op(e1,e0),e0) != e1
| op(e0,e1) = op(e1,e0)
| op(op(e1,e0),e1) = e0 )
& ( op(op(e1,e2),e2) != e1
| op(e2,e1) = op(e1,e2)
| op(op(e1,e2),e1) = e2 )
& ( op(op(e1,e3),e3) != e1
| op(e3,e1) = op(e1,e3)
| op(op(e1,e3),e1) = e3 )
& ( ( op(e0,e1) != e0
& op(e0,e0) = e1
& op(e1,e1) = e0 )
| ( op(e0,e2) != e0
& op(e0,e0) = e2
& op(e2,e2) = e0 )
| ( op(e0,e3) != e0
& op(e0,e0) = e3
& op(e3,e3) = e0 )
| ( op(e0,e4) != e0
& op(e0,e0) = e4
& op(e4,e4) = e0 )
| ( op(e1,e0) != e1
& op(e0,e0) = e1
& op(e1,e1) = e0 )
| ( op(e1,e2) != e1
& op(e1,e1) = e2
& op(e2,e2) = e1 )
| ( op(e1,e3) != e1
& op(e1,e1) = e3
& op(e3,e3) = e1 )
| ( op(e1,e4) != e1
& op(e1,e1) = e4
& op(e4,e4) = e1 )
| ( op(e2,e0) != e2
& op(e0,e0) = e2
& op(e2,e2) = e0 )
| ( op(e2,e1) != e2
& op(e1,e1) = e2
& op(e2,e2) = e1 )
| ( op(e2,e3) != e2
& op(e2,e2) = e3
& op(e3,e3) = e2 )
| ( op(e2,e4) != e2
& op(e2,e2) = e4
& op(e4,e4) = e2 )
| ( op(e3,e0) != e3
& op(e0,e0) = e3
& op(e3,e3) = e0 )
| ( op(e3,e1) != e3
& op(e1,e1) = e3
& op(e3,e3) = e1 )
| ( op(e3,e2) != e3
& op(e2,e2) = e3
& op(e3,e3) = e2 )
| ( op(e3,e4) != e3
& op(e3,e3) = e4
& op(e4,e4) = e3 )
| ( op(e4,e0) != e4
& op(e0,e0) = e4
& op(e4,e4) = e0 )
| ( op(e4,e1) != e4
& op(e1,e1) = e4
& op(e4,e4) = e1 )
| ( op(e4,e2) != e4
& op(e2,e2) = e4
& op(e4,e4) = e2 )
| ( op(e4,e3) != e4
& op(e3,e3) = e4
& op(e4,e4) = e3 ) ) ),
inference(canonicalize,[],[negate_9_0]) ).
fof(normalize_9_1,plain,
op(op(e1,e4),e4) = e1,
inference(conjunct,[],[normalize_9_0]) ).
fof(normalize_9_2,plain,
( e0 = op(op(e4,e4),e4)
& e1 = op(e4,e4)
& e2 = op(op(e4,op(e4,e4)),e4)
& e3 = op(e4,op(e4,e4)) ),
inference(canonicalize,[],[ax6]) ).
fof(normalize_9_3,plain,
e0 = op(op(e4,e4),e4),
inference(conjunct,[],[normalize_9_2]) ).
fof(normalize_9_4,plain,
e1 = op(e4,e4),
inference(conjunct,[],[normalize_9_2]) ).
fof(normalize_9_5,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_9_6,plain,
op(e0,e4) != op(e4,e4),
inference(conjunct,[],[normalize_9_5]) ).
cnf(refute_9_0,plain,
op(op(e1,e4),e4) = e1,
inference(canonicalize,[],[normalize_9_1]) ).
cnf(refute_9_1,plain,
e0 = op(op(e4,e4),e4),
inference(canonicalize,[],[normalize_9_3]) ).
cnf(refute_9_2,plain,
e1 = op(e4,e4),
inference(canonicalize,[],[normalize_9_4]) ).
cnf(refute_9_3,plain,
X = X,
introduced(tautology,[refl,[$fot(X)]]) ).
cnf(refute_9_4,plain,
( X != X
| X != Y
| Y = X ),
introduced(tautology,[equality,[$cnf( $equal(X,X) ),[0],$fot(Y)]]) ).
cnf(refute_9_5,plain,
( X != Y
| Y = X ),
inference(resolve,[$cnf( $equal(X,X) )],[refute_9_3,refute_9_4]) ).
cnf(refute_9_6,plain,
( e1 != op(e4,e4)
| op(e4,e4) = e1 ),
inference(subst,[],[refute_9_5:[bind(X,$fot(e1)),bind(Y,$fot(op(e4,e4)))]]) ).
cnf(refute_9_7,plain,
op(e4,e4) = e1,
inference(resolve,[$cnf( $equal(e1,op(e4,e4)) )],[refute_9_2,refute_9_6]) ).
cnf(refute_9_8,plain,
op(op(e4,e4),e4) = op(op(e4,e4),e4),
introduced(tautology,[refl,[$fot(op(op(e4,e4),e4))]]) ).
cnf(refute_9_9,plain,
( op(e4,e4) != e1
| op(op(e4,e4),e4) != op(op(e4,e4),e4)
| op(op(e4,e4),e4) = op(e1,e4) ),
introduced(tautology,[equality,[$cnf( $equal(op(op(e4,e4),e4),op(op(e4,e4),e4)) ),[1,0],$fot(e1)]]) ).
cnf(refute_9_10,plain,
( op(e4,e4) != e1
| op(op(e4,e4),e4) = op(e1,e4) ),
inference(resolve,[$cnf( $equal(op(op(e4,e4),e4),op(op(e4,e4),e4)) )],[refute_9_8,refute_9_9]) ).
cnf(refute_9_11,plain,
op(op(e4,e4),e4) = op(e1,e4),
inference(resolve,[$cnf( $equal(op(e4,e4),e1) )],[refute_9_7,refute_9_10]) ).
cnf(refute_9_12,plain,
( e0 != op(op(e4,e4),e4)
| op(op(e4,e4),e4) != op(e1,e4)
| e0 = op(e1,e4) ),
introduced(tautology,[equality,[$cnf( ~ $equal(e0,op(e1,e4)) ),[0],$fot(op(op(e4,e4),e4))]]) ).
cnf(refute_9_13,plain,
( e0 != op(op(e4,e4),e4)
| e0 = op(e1,e4) ),
inference(resolve,[$cnf( $equal(op(op(e4,e4),e4),op(e1,e4)) )],[refute_9_11,refute_9_12]) ).
cnf(refute_9_14,plain,
e0 = op(e1,e4),
inference(resolve,[$cnf( $equal(e0,op(op(e4,e4),e4)) )],[refute_9_1,refute_9_13]) ).
cnf(refute_9_15,plain,
( e0 != op(e1,e4)
| op(e1,e4) = e0 ),
inference(subst,[],[refute_9_5:[bind(X,$fot(e0)),bind(Y,$fot(op(e1,e4)))]]) ).
cnf(refute_9_16,plain,
op(e1,e4) = e0,
inference(resolve,[$cnf( $equal(e0,op(e1,e4)) )],[refute_9_14,refute_9_15]) ).
cnf(refute_9_17,plain,
op(op(e1,e4),e4) = op(op(e1,e4),e4),
introduced(tautology,[refl,[$fot(op(op(e1,e4),e4))]]) ).
cnf(refute_9_18,plain,
( op(e1,e4) != e0
| op(op(e1,e4),e4) != op(op(e1,e4),e4)
| op(op(e1,e4),e4) = op(e0,e4) ),
introduced(tautology,[equality,[$cnf( $equal(op(op(e1,e4),e4),op(op(e1,e4),e4)) ),[1,0],$fot(e0)]]) ).
cnf(refute_9_19,plain,
( op(e1,e4) != e0
| op(op(e1,e4),e4) = op(e0,e4) ),
inference(resolve,[$cnf( $equal(op(op(e1,e4),e4),op(op(e1,e4),e4)) )],[refute_9_17,refute_9_18]) ).
cnf(refute_9_20,plain,
op(op(e1,e4),e4) = op(e0,e4),
inference(resolve,[$cnf( $equal(op(e1,e4),e0) )],[refute_9_16,refute_9_19]) ).
cnf(refute_9_21,plain,
( op(op(e1,e4),e4) != e1
| op(op(e1,e4),e4) != op(e0,e4)
| op(e0,e4) = e1 ),
introduced(tautology,[equality,[$cnf( $equal(op(op(e1,e4),e4),e1) ),[0],$fot(op(e0,e4))]]) ).
cnf(refute_9_22,plain,
( op(op(e1,e4),e4) != e1
| op(e0,e4) = e1 ),
inference(resolve,[$cnf( $equal(op(op(e1,e4),e4),op(e0,e4)) )],[refute_9_20,refute_9_21]) ).
cnf(refute_9_23,plain,
op(e0,e4) = e1,
inference(resolve,[$cnf( $equal(op(op(e1,e4),e4),e1) )],[refute_9_0,refute_9_22]) ).
cnf(refute_9_24,plain,
op(e0,e4) != op(e4,e4),
inference(canonicalize,[],[normalize_9_6]) ).
cnf(refute_9_25,plain,
( op(e0,e4) != e1
| op(e4,e4) != e1
| op(e0,e4) = op(e4,e4) ),
introduced(tautology,[equality,[$cnf( ~ $equal(op(e0,e4),op(e4,e4)) ),[1],$fot(e1)]]) ).
cnf(refute_9_26,plain,
( op(e0,e4) != e1
| op(e0,e4) = op(e4,e4) ),
inference(resolve,[$cnf( $equal(op(e4,e4),e1) )],[refute_9_7,refute_9_25]) ).
cnf(refute_9_27,plain,
op(e0,e4) != e1,
inference(resolve,[$cnf( $equal(op(e0,e4),op(e4,e4)) )],[refute_9_26,refute_9_24]) ).
cnf(refute_9_28,plain,
$false,
inference(resolve,[$cnf( $equal(op(e0,e4),e1) )],[refute_9_23,refute_9_27]) ).
fof(negate_10_0,plain,
~ ( ( ( ( op(e0,e0) = e0
& op(e0,e0) = e0
& op(e0,e0) != e0 )
| ( op(e0,e0) = e1
& op(e1,e1) = e0
& op(e0,e1) != e0 )
| ( op(e0,e0) = e2
& op(e2,e2) = e0
& op(e0,e2) != e0 )
| ( op(e0,e0) = e3
& op(e3,e3) = e0
& op(e0,e3) != e0 )
| ( op(e0,e0) = e4
& op(e4,e4) = e0
& op(e0,e4) != e0 )
| ( op(e1,e1) = e0
& op(e0,e0) = e1
& op(e1,e0) != e1 )
| ( op(e1,e1) = e1
& op(e1,e1) = e1
& op(e1,e1) != e1 )
| ( op(e1,e1) = e2
& op(e2,e2) = e1
& op(e1,e2) != e1 )
| ( op(e1,e1) = e3
& op(e3,e3) = e1
& op(e1,e3) != e1 )
| ( op(e1,e1) = e4
& op(e4,e4) = e1
& op(e1,e4) != e1 )
| ( op(e2,e2) = e0
& op(e0,e0) = e2
& op(e2,e0) != e2 )
| ( op(e2,e2) = e1
& op(e1,e1) = e2
& op(e2,e1) != e2 )
| ( op(e2,e2) = e2
& op(e2,e2) = e2
& op(e2,e2) != e2 )
| ( op(e2,e2) = e3
& op(e3,e3) = e2
& op(e2,e3) != e2 )
| ( op(e2,e2) = e4
& op(e4,e4) = e2
& op(e2,e4) != e2 )
| ( op(e3,e3) = e0
& op(e0,e0) = e3
& op(e3,e0) != e3 )
| ( op(e3,e3) = e1
& op(e1,e1) = e3
& op(e3,e1) != e3 )
| ( op(e3,e3) = e2
& op(e2,e2) = e3
& op(e3,e2) != e3 )
| ( op(e3,e3) = e3
& op(e3,e3) = e3
& op(e3,e3) != e3 )
| ( op(e3,e3) = e4
& op(e4,e4) = e3
& op(e3,e4) != e3 )
| ( op(e4,e4) = e0
& op(e0,e0) = e4
& op(e4,e0) != e4 )
| ( op(e4,e4) = e1
& op(e1,e1) = e4
& op(e4,e1) != e4 )
| ( op(e4,e4) = e2
& op(e2,e2) = e4
& op(e4,e2) != e4 )
| ( op(e4,e4) = e3
& op(e3,e3) = e4
& op(e4,e3) != e4 )
| ( op(e4,e4) = e4
& op(e4,e4) = e4
& op(e4,e4) != e4 ) )
& ~ ( op(e0,e0) != op(e0,e0)
& op(op(e0,e0),e0) = e0
& op(op(e0,e0),e0) != e0 )
& ~ ( op(e1,e0) != op(e0,e1)
& op(op(e0,e1),e1) = e0
& op(op(e0,e1),e0) != e1 )
& ~ ( op(e2,e0) != op(e0,e2)
& op(op(e0,e2),e2) = e0
& op(op(e0,e2),e0) != e2 )
& ~ ( op(e3,e0) != op(e0,e3)
& op(op(e0,e3),e3) = e0
& op(op(e0,e3),e0) != e3 )
& ~ ( op(e4,e0) != op(e0,e4)
& op(op(e0,e4),e4) = e0
& op(op(e0,e4),e0) != e4 )
& ~ ( op(e0,e1) != op(e1,e0)
& op(op(e1,e0),e0) = e1
& op(op(e1,e0),e1) != e0 )
& ~ ( op(e1,e1) != op(e1,e1)
& op(op(e1,e1),e1) = e1
& op(op(e1,e1),e1) != e1 )
& ~ ( op(e2,e1) != op(e1,e2)
& op(op(e1,e2),e2) = e1
& op(op(e1,e2),e1) != e2 )
& ~ ( op(e3,e1) != op(e1,e3)
& op(op(e1,e3),e3) = e1
& op(op(e1,e3),e1) != e3 )
& ~ ( op(e4,e1) != op(e1,e4)
& op(op(e1,e4),e4) = e1
& op(op(e1,e4),e1) != e4 )
& op(e0,e2) != op(e2,e0)
& op(op(e2,e0),e0) = e2 )
=> op(op(e2,e0),e2) = e0 ),
inference(negate,[],[subgoal_10]) ).
fof(normalize_10_0,plain,
( op(e0,e2) != op(e2,e0)
& op(op(e2,e0),e2) != e0
& op(op(e2,e0),e0) = e2
& ( op(op(e0,e1),e1) != e0
| op(e1,e0) = op(e0,e1)
| op(op(e0,e1),e0) = e1 )
& ( op(op(e0,e2),e2) != e0
| op(e2,e0) = op(e0,e2)
| op(op(e0,e2),e0) = e2 )
& ( op(op(e0,e3),e3) != e0
| op(e3,e0) = op(e0,e3)
| op(op(e0,e3),e0) = e3 )
& ( op(op(e0,e4),e4) != e0
| op(e4,e0) = op(e0,e4)
| op(op(e0,e4),e0) = e4 )
& ( op(op(e1,e0),e0) != e1
| op(e0,e1) = op(e1,e0)
| op(op(e1,e0),e1) = e0 )
& ( op(op(e1,e2),e2) != e1
| op(e2,e1) = op(e1,e2)
| op(op(e1,e2),e1) = e2 )
& ( op(op(e1,e3),e3) != e1
| op(e3,e1) = op(e1,e3)
| op(op(e1,e3),e1) = e3 )
& ( op(op(e1,e4),e4) != e1
| op(e4,e1) = op(e1,e4)
| op(op(e1,e4),e1) = e4 )
& ( ( op(e0,e1) != e0
& op(e0,e0) = e1
& op(e1,e1) = e0 )
| ( op(e0,e2) != e0
& op(e0,e0) = e2
& op(e2,e2) = e0 )
| ( op(e0,e3) != e0
& op(e0,e0) = e3
& op(e3,e3) = e0 )
| ( op(e0,e4) != e0
& op(e0,e0) = e4
& op(e4,e4) = e0 )
| ( op(e1,e0) != e1
& op(e0,e0) = e1
& op(e1,e1) = e0 )
| ( op(e1,e2) != e1
& op(e1,e1) = e2
& op(e2,e2) = e1 )
| ( op(e1,e3) != e1
& op(e1,e1) = e3
& op(e3,e3) = e1 )
| ( op(e1,e4) != e1
& op(e1,e1) = e4
& op(e4,e4) = e1 )
| ( op(e2,e0) != e2
& op(e0,e0) = e2
& op(e2,e2) = e0 )
| ( op(e2,e1) != e2
& op(e1,e1) = e2
& op(e2,e2) = e1 )
| ( op(e2,e3) != e2
& op(e2,e2) = e3
& op(e3,e3) = e2 )
| ( op(e2,e4) != e2
& op(e2,e2) = e4
& op(e4,e4) = e2 )
| ( op(e3,e0) != e3
& op(e0,e0) = e3
& op(e3,e3) = e0 )
| ( op(e3,e1) != e3
& op(e1,e1) = e3
& op(e3,e3) = e1 )
| ( op(e3,e2) != e3
& op(e2,e2) = e3
& op(e3,e3) = e2 )
| ( op(e3,e4) != e3
& op(e3,e3) = e4
& op(e4,e4) = e3 )
| ( op(e4,e0) != e4
& op(e0,e0) = e4
& op(e4,e4) = e0 )
| ( op(e4,e1) != e4
& op(e1,e1) = e4
& op(e4,e4) = e1 )
| ( op(e4,e2) != e4
& op(e2,e2) = e4
& op(e4,e4) = e2 )
| ( op(e4,e3) != e4
& op(e3,e3) = e4
& op(e4,e4) = e3 ) ) ),
inference(canonicalize,[],[negate_10_0]) ).
fof(normalize_10_1,plain,
op(e0,e2) != op(e2,e0),
inference(conjunct,[],[normalize_10_0]) ).
fof(normalize_10_2,plain,
( op(e0,unit) = e0
& op(e1,unit) = e1
& op(e2,unit) = e2
& op(e3,unit) = e3
& op(e4,unit) = e4
& op(unit,e0) = e0
& op(unit,e1) = e1
& op(unit,e2) = e2
& op(unit,e3) = e3
& op(unit,e4) = e4
& ( unit = e0
| unit = e1
| unit = e2
| unit = e3
| unit = e4 ) ),
inference(canonicalize,[],[ax2]) ).
fof(normalize_10_3,plain,
op(e0,unit) = e0,
inference(conjunct,[],[normalize_10_2]) ).
fof(normalize_10_4,plain,
op(unit,e2) = e2,
inference(conjunct,[],[normalize_10_2]) ).
fof(normalize_10_5,plain,
op(unit,e4) = e4,
inference(conjunct,[],[normalize_10_2]) ).
fof(normalize_10_6,plain,
( unit = e0
| unit = e1
| unit = e2
| unit = e3
| unit = e4 ),
inference(conjunct,[],[normalize_10_2]) ).
fof(normalize_10_7,plain,
( e0 = op(op(e4,e4),e4)
& e1 = op(e4,e4)
& e2 = op(op(e4,op(e4,e4)),e4)
& e3 = op(e4,op(e4,e4)) ),
inference(canonicalize,[],[ax6]) ).
fof(normalize_10_8,plain,
e2 = op(op(e4,op(e4,e4)),e4),
inference(conjunct,[],[normalize_10_7]) ).
fof(normalize_10_9,plain,
e1 = op(e4,e4),
inference(conjunct,[],[normalize_10_7]) ).
fof(normalize_10_10,plain,
e3 = op(e4,op(e4,e4)),
inference(conjunct,[],[normalize_10_7]) ).
fof(normalize_10_11,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_10_12,plain,
e2 != e4,
inference(conjunct,[],[normalize_10_11]) ).
fof(normalize_10_13,plain,
e0 = op(op(e4,e4),e4),
inference(conjunct,[],[normalize_10_7]) ).
fof(normalize_10_14,plain,
e0 != e4,
inference(conjunct,[],[normalize_10_11]) ).
fof(normalize_10_15,plain,
e1 != e4,
inference(conjunct,[],[normalize_10_11]) ).
fof(normalize_10_16,plain,
op(e2,unit) = e2,
inference(conjunct,[],[normalize_10_2]) ).
fof(normalize_10_17,plain,
op(unit,e0) = e0,
inference(conjunct,[],[normalize_10_2]) ).
cnf(refute_10_0,plain,
op(e0,e2) != op(e2,e0),
inference(canonicalize,[],[normalize_10_1]) ).
cnf(refute_10_1,plain,
op(e0,unit) = e0,
inference(canonicalize,[],[normalize_10_3]) ).
cnf(refute_10_2,plain,
op(unit,e2) = e2,
inference(canonicalize,[],[normalize_10_4]) ).
cnf(refute_10_3,plain,
op(unit,e4) = e4,
inference(canonicalize,[],[normalize_10_5]) ).
cnf(refute_10_4,plain,
( unit = e0
| unit = e1
| unit = e2
| unit = e3
| unit = e4 ),
inference(canonicalize,[],[normalize_10_6]) ).
cnf(refute_10_5,plain,
( op(unit,e4) != e4
| unit != e3
| op(e3,e4) = e4 ),
introduced(tautology,[equality,[$cnf( $equal(op(unit,e4),e4) ),[0,0],$fot(e3)]]) ).
cnf(refute_10_6,plain,
( op(unit,e4) != e4
| op(e3,e4) = e4
| unit = e0
| unit = e1
| unit = e2
| unit = e4 ),
inference(resolve,[$cnf( $equal(unit,e3) )],[refute_10_4,refute_10_5]) ).
cnf(refute_10_7,plain,
( op(e3,e4) = e4
| unit = e0
| unit = e1
| unit = e2
| unit = e4 ),
inference(resolve,[$cnf( $equal(op(unit,e4),e4) )],[refute_10_3,refute_10_6]) ).
cnf(refute_10_8,plain,
e2 = op(op(e4,op(e4,e4)),e4),
inference(canonicalize,[],[normalize_10_8]) ).
cnf(refute_10_9,plain,
e1 = op(e4,e4),
inference(canonicalize,[],[normalize_10_9]) ).
cnf(refute_10_10,plain,
X = X,
introduced(tautology,[refl,[$fot(X)]]) ).
cnf(refute_10_11,plain,
( X != X
| X != Y
| Y = X ),
introduced(tautology,[equality,[$cnf( $equal(X,X) ),[0],$fot(Y)]]) ).
cnf(refute_10_12,plain,
( X != Y
| Y = X ),
inference(resolve,[$cnf( $equal(X,X) )],[refute_10_10,refute_10_11]) ).
cnf(refute_10_13,plain,
( e1 != op(e4,e4)
| op(e4,e4) = e1 ),
inference(subst,[],[refute_10_12:[bind(X,$fot(e1)),bind(Y,$fot(op(e4,e4)))]]) ).
cnf(refute_10_14,plain,
op(e4,e4) = e1,
inference(resolve,[$cnf( $equal(e1,op(e4,e4)) )],[refute_10_9,refute_10_13]) ).
cnf(refute_10_15,plain,
op(e4,op(e4,e4)) = op(e4,op(e4,e4)),
introduced(tautology,[refl,[$fot(op(e4,op(e4,e4)))]]) ).
cnf(refute_10_16,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_10_17,plain,
( op(e4,e4) != e1
| op(e4,op(e4,e4)) = op(e4,e1) ),
inference(resolve,[$cnf( $equal(op(e4,op(e4,e4)),op(e4,op(e4,e4))) )],[refute_10_15,refute_10_16]) ).
cnf(refute_10_18,plain,
op(e4,op(e4,e4)) = op(e4,e1),
inference(resolve,[$cnf( $equal(op(e4,e4),e1) )],[refute_10_14,refute_10_17]) ).
cnf(refute_10_19,plain,
op(op(e4,op(e4,e4)),e4) = op(op(e4,op(e4,e4)),e4),
introduced(tautology,[refl,[$fot(op(op(e4,op(e4,e4)),e4))]]) ).
cnf(refute_10_20,plain,
( op(e4,op(e4,e4)) != op(e4,e1)
| op(op(e4,op(e4,e4)),e4) != op(op(e4,op(e4,e4)),e4)
| op(op(e4,op(e4,e4)),e4) = op(op(e4,e1),e4) ),
introduced(tautology,[equality,[$cnf( $equal(op(op(e4,op(e4,e4)),e4),op(op(e4,op(e4,e4)),e4)) ),[1,0],$fot(op(e4,e1))]]) ).
cnf(refute_10_21,plain,
( op(e4,op(e4,e4)) != op(e4,e1)
| op(op(e4,op(e4,e4)),e4) = op(op(e4,e1),e4) ),
inference(resolve,[$cnf( $equal(op(op(e4,op(e4,e4)),e4),op(op(e4,op(e4,e4)),e4)) )],[refute_10_19,refute_10_20]) ).
cnf(refute_10_22,plain,
op(op(e4,op(e4,e4)),e4) = op(op(e4,e1),e4),
inference(resolve,[$cnf( $equal(op(e4,op(e4,e4)),op(e4,e1)) )],[refute_10_18,refute_10_21]) ).
cnf(refute_10_23,plain,
( e2 != op(op(e4,op(e4,e4)),e4)
| op(op(e4,op(e4,e4)),e4) != op(op(e4,e1),e4)
| e2 = op(op(e4,e1),e4) ),
introduced(tautology,[equality,[$cnf( ~ $equal(e2,op(op(e4,e1),e4)) ),[0],$fot(op(op(e4,op(e4,e4)),e4))]]) ).
cnf(refute_10_24,plain,
( e2 != op(op(e4,op(e4,e4)),e4)
| e2 = op(op(e4,e1),e4) ),
inference(resolve,[$cnf( $equal(op(op(e4,op(e4,e4)),e4),op(op(e4,e1),e4)) )],[refute_10_22,refute_10_23]) ).
cnf(refute_10_25,plain,
e2 = op(op(e4,e1),e4),
inference(resolve,[$cnf( $equal(e2,op(op(e4,op(e4,e4)),e4)) )],[refute_10_8,refute_10_24]) ).
cnf(refute_10_26,plain,
e3 = op(e4,op(e4,e4)),
inference(canonicalize,[],[normalize_10_10]) ).
cnf(refute_10_27,plain,
( e3 != op(e4,op(e4,e4))
| op(e4,op(e4,e4)) != op(e4,e1)
| e3 = op(e4,e1) ),
introduced(tautology,[equality,[$cnf( ~ $equal(e3,op(e4,e1)) ),[0],$fot(op(e4,op(e4,e4)))]]) ).
cnf(refute_10_28,plain,
( e3 != op(e4,op(e4,e4))
| e3 = op(e4,e1) ),
inference(resolve,[$cnf( $equal(op(e4,op(e4,e4)),op(e4,e1)) )],[refute_10_18,refute_10_27]) ).
cnf(refute_10_29,plain,
e3 = op(e4,e1),
inference(resolve,[$cnf( $equal(e3,op(e4,op(e4,e4))) )],[refute_10_26,refute_10_28]) ).
cnf(refute_10_30,plain,
( e3 != op(e4,e1)
| op(e4,e1) = e3 ),
inference(subst,[],[refute_10_12:[bind(X,$fot(e3)),bind(Y,$fot(op(e4,e1)))]]) ).
cnf(refute_10_31,plain,
op(e4,e1) = e3,
inference(resolve,[$cnf( $equal(e3,op(e4,e1)) )],[refute_10_29,refute_10_30]) ).
cnf(refute_10_32,plain,
op(op(e4,e1),e4) = op(op(e4,e1),e4),
introduced(tautology,[refl,[$fot(op(op(e4,e1),e4))]]) ).
cnf(refute_10_33,plain,
( op(e4,e1) != e3
| op(op(e4,e1),e4) != op(op(e4,e1),e4)
| op(op(e4,e1),e4) = op(e3,e4) ),
introduced(tautology,[equality,[$cnf( $equal(op(op(e4,e1),e4),op(op(e4,e1),e4)) ),[1,0],$fot(e3)]]) ).
cnf(refute_10_34,plain,
( op(e4,e1) != e3
| op(op(e4,e1),e4) = op(e3,e4) ),
inference(resolve,[$cnf( $equal(op(op(e4,e1),e4),op(op(e4,e1),e4)) )],[refute_10_32,refute_10_33]) ).
cnf(refute_10_35,plain,
op(op(e4,e1),e4) = op(e3,e4),
inference(resolve,[$cnf( $equal(op(e4,e1),e3) )],[refute_10_31,refute_10_34]) ).
cnf(refute_10_36,plain,
( e2 != op(op(e4,e1),e4)
| op(op(e4,e1),e4) != op(e3,e4)
| e2 = op(e3,e4) ),
introduced(tautology,[equality,[$cnf( ~ $equal(e2,op(e3,e4)) ),[0],$fot(op(op(e4,e1),e4))]]) ).
cnf(refute_10_37,plain,
( e2 != op(op(e4,e1),e4)
| e2 = op(e3,e4) ),
inference(resolve,[$cnf( $equal(op(op(e4,e1),e4),op(e3,e4)) )],[refute_10_35,refute_10_36]) ).
cnf(refute_10_38,plain,
e2 = op(e3,e4),
inference(resolve,[$cnf( $equal(e2,op(op(e4,e1),e4)) )],[refute_10_25,refute_10_37]) ).
cnf(refute_10_39,plain,
( e2 != op(e3,e4)
| op(e3,e4) = e2 ),
inference(subst,[],[refute_10_12:[bind(X,$fot(e2)),bind(Y,$fot(op(e3,e4)))]]) ).
cnf(refute_10_40,plain,
op(e3,e4) = e2,
inference(resolve,[$cnf( $equal(e2,op(e3,e4)) )],[refute_10_38,refute_10_39]) ).
cnf(refute_10_41,plain,
( op(e3,e4) != e2
| op(e3,e4) != e4
| e2 = e4 ),
introduced(tautology,[equality,[$cnf( $equal(op(e3,e4),e4) ),[0],$fot(e2)]]) ).
cnf(refute_10_42,plain,
( op(e3,e4) != e4
| e2 = e4 ),
inference(resolve,[$cnf( $equal(op(e3,e4),e2) )],[refute_10_40,refute_10_41]) ).
cnf(refute_10_43,plain,
( e2 = e4
| unit = e0
| unit = e1
| unit = e2
| unit = e4 ),
inference(resolve,[$cnf( $equal(op(e3,e4),e4) )],[refute_10_7,refute_10_42]) ).
cnf(refute_10_44,plain,
e2 != e4,
inference(canonicalize,[],[normalize_10_12]) ).
cnf(refute_10_45,plain,
( unit = e0
| unit = e1
| unit = e2
| unit = e4 ),
inference(resolve,[$cnf( $equal(e2,e4) )],[refute_10_43,refute_10_44]) ).
cnf(refute_10_46,plain,
( op(unit,e4) != e4
| unit != e1
| op(e1,e4) = e4 ),
introduced(tautology,[equality,[$cnf( $equal(op(unit,e4),e4) ),[0,0],$fot(e1)]]) ).
cnf(refute_10_47,plain,
( op(unit,e4) != e4
| op(e1,e4) = e4
| unit = e0
| unit = e2
| unit = e4 ),
inference(resolve,[$cnf( $equal(unit,e1) )],[refute_10_45,refute_10_46]) ).
cnf(refute_10_48,plain,
( op(e1,e4) = e4
| unit = e0
| unit = e2
| unit = e4 ),
inference(resolve,[$cnf( $equal(op(unit,e4),e4) )],[refute_10_3,refute_10_47]) ).
cnf(refute_10_49,plain,
e0 = op(op(e4,e4),e4),
inference(canonicalize,[],[normalize_10_13]) ).
cnf(refute_10_50,plain,
op(op(e4,e4),e4) = op(op(e4,e4),e4),
introduced(tautology,[refl,[$fot(op(op(e4,e4),e4))]]) ).
cnf(refute_10_51,plain,
( op(e4,e4) != e1
| op(op(e4,e4),e4) != op(op(e4,e4),e4)
| op(op(e4,e4),e4) = op(e1,e4) ),
introduced(tautology,[equality,[$cnf( $equal(op(op(e4,e4),e4),op(op(e4,e4),e4)) ),[1,0],$fot(e1)]]) ).
cnf(refute_10_52,plain,
( op(e4,e4) != e1
| op(op(e4,e4),e4) = op(e1,e4) ),
inference(resolve,[$cnf( $equal(op(op(e4,e4),e4),op(op(e4,e4),e4)) )],[refute_10_50,refute_10_51]) ).
cnf(refute_10_53,plain,
op(op(e4,e4),e4) = op(e1,e4),
inference(resolve,[$cnf( $equal(op(e4,e4),e1) )],[refute_10_14,refute_10_52]) ).
cnf(refute_10_54,plain,
( e0 != op(op(e4,e4),e4)
| op(op(e4,e4),e4) != op(e1,e4)
| e0 = op(e1,e4) ),
introduced(tautology,[equality,[$cnf( ~ $equal(e0,op(e1,e4)) ),[0],$fot(op(op(e4,e4),e4))]]) ).
cnf(refute_10_55,plain,
( e0 != op(op(e4,e4),e4)
| e0 = op(e1,e4) ),
inference(resolve,[$cnf( $equal(op(op(e4,e4),e4),op(e1,e4)) )],[refute_10_53,refute_10_54]) ).
cnf(refute_10_56,plain,
e0 = op(e1,e4),
inference(resolve,[$cnf( $equal(e0,op(op(e4,e4),e4)) )],[refute_10_49,refute_10_55]) ).
cnf(refute_10_57,plain,
( e0 != op(e1,e4)
| op(e1,e4) = e0 ),
inference(subst,[],[refute_10_12:[bind(X,$fot(e0)),bind(Y,$fot(op(e1,e4)))]]) ).
cnf(refute_10_58,plain,
op(e1,e4) = e0,
inference(resolve,[$cnf( $equal(e0,op(e1,e4)) )],[refute_10_56,refute_10_57]) ).
cnf(refute_10_59,plain,
( op(e1,e4) != e0
| op(e1,e4) != e4
| e0 = e4 ),
introduced(tautology,[equality,[$cnf( $equal(op(e1,e4),e4) ),[0],$fot(e0)]]) ).
cnf(refute_10_60,plain,
( op(e1,e4) != e4
| e0 = e4 ),
inference(resolve,[$cnf( $equal(op(e1,e4),e0) )],[refute_10_58,refute_10_59]) ).
cnf(refute_10_61,plain,
( e0 = e4
| unit = e0
| unit = e2
| unit = e4 ),
inference(resolve,[$cnf( $equal(op(e1,e4),e4) )],[refute_10_48,refute_10_60]) ).
cnf(refute_10_62,plain,
e0 != e4,
inference(canonicalize,[],[normalize_10_14]) ).
cnf(refute_10_63,plain,
( unit = e0
| unit = e2
| unit = e4 ),
inference(resolve,[$cnf( $equal(e0,e4) )],[refute_10_61,refute_10_62]) ).
cnf(refute_10_64,plain,
( op(unit,e4) != e4
| unit != e4
| op(e4,e4) = e4 ),
introduced(tautology,[equality,[$cnf( $equal(op(unit,e4),e4) ),[0,0],$fot(e4)]]) ).
cnf(refute_10_65,plain,
( op(unit,e4) != e4
| op(e4,e4) = e4
| unit = e0
| unit = e2 ),
inference(resolve,[$cnf( $equal(unit,e4) )],[refute_10_63,refute_10_64]) ).
cnf(refute_10_66,plain,
( op(e4,e4) = e4
| unit = e0
| unit = e2 ),
inference(resolve,[$cnf( $equal(op(unit,e4),e4) )],[refute_10_3,refute_10_65]) ).
cnf(refute_10_67,plain,
( op(e4,e4) != e1
| op(e4,e4) != e4
| e1 = e4 ),
introduced(tautology,[equality,[$cnf( $equal(op(e4,e4),e4) ),[0],$fot(e1)]]) ).
cnf(refute_10_68,plain,
( op(e4,e4) != e4
| e1 = e4 ),
inference(resolve,[$cnf( $equal(op(e4,e4),e1) )],[refute_10_14,refute_10_67]) ).
cnf(refute_10_69,plain,
( e1 = e4
| unit = e0
| unit = e2 ),
inference(resolve,[$cnf( $equal(op(e4,e4),e4) )],[refute_10_66,refute_10_68]) ).
cnf(refute_10_70,plain,
e1 != e4,
inference(canonicalize,[],[normalize_10_15]) ).
cnf(refute_10_71,plain,
( unit = e0
| unit = e2 ),
inference(resolve,[$cnf( $equal(e1,e4) )],[refute_10_69,refute_10_70]) ).
cnf(refute_10_72,plain,
( op(unit,e2) != e2
| unit != e0
| op(e0,e2) = e2 ),
introduced(tautology,[equality,[$cnf( $equal(op(unit,e2),e2) ),[0,0],$fot(e0)]]) ).
cnf(refute_10_73,plain,
( op(unit,e2) != e2
| op(e0,e2) = e2
| unit = e2 ),
inference(resolve,[$cnf( $equal(unit,e0) )],[refute_10_71,refute_10_72]) ).
cnf(refute_10_74,plain,
( op(e0,e2) = e2
| unit = e2 ),
inference(resolve,[$cnf( $equal(op(unit,e2),e2) )],[refute_10_2,refute_10_73]) ).
cnf(refute_10_75,plain,
( e2 != op(e2,e0)
| op(e0,e2) != e2
| op(e0,e2) = op(e2,e0) ),
introduced(tautology,[equality,[$cnf( $equal(op(e0,e2),e2) ),[1],$fot(op(e2,e0))]]) ).
cnf(refute_10_76,plain,
( e2 != op(e2,e0)
| op(e0,e2) = op(e2,e0)
| unit = e2 ),
inference(resolve,[$cnf( $equal(op(e0,e2),e2) )],[refute_10_74,refute_10_75]) ).
cnf(refute_10_77,plain,
( e2 != op(e2,e0)
| unit = e2 ),
inference(resolve,[$cnf( $equal(op(e0,e2),op(e2,e0)) )],[refute_10_76,refute_10_0]) ).
cnf(refute_10_78,plain,
op(e2,unit) = e2,
inference(canonicalize,[],[normalize_10_16]) ).
cnf(refute_10_79,plain,
( op(e2,unit) != e2
| unit != e0
| op(e2,e0) = e2 ),
introduced(tautology,[equality,[$cnf( $equal(op(e2,unit),e2) ),[0,1],$fot(e0)]]) ).
cnf(refute_10_80,plain,
( op(e2,unit) != e2
| op(e2,e0) = e2
| unit = e2 ),
inference(resolve,[$cnf( $equal(unit,e0) )],[refute_10_71,refute_10_79]) ).
cnf(refute_10_81,plain,
( op(e2,e0) = e2
| unit = e2 ),
inference(resolve,[$cnf( $equal(op(e2,unit),e2) )],[refute_10_78,refute_10_80]) ).
cnf(refute_10_82,plain,
( e2 != e2
| op(e2,e0) != e2
| e2 = op(e2,e0) ),
introduced(tautology,[equality,[$cnf( ~ $equal(e2,op(e2,e0)) ),[1],$fot(e2)]]) ).
cnf(refute_10_83,plain,
( e2 != e2
| e2 = op(e2,e0)
| unit = e2 ),
inference(resolve,[$cnf( $equal(op(e2,e0),e2) )],[refute_10_81,refute_10_82]) ).
cnf(refute_10_84,plain,
( e2 != e2
| unit = e2 ),
inference(resolve,[$cnf( $equal(e2,op(e2,e0)) )],[refute_10_83,refute_10_77]) ).
cnf(refute_10_85,plain,
e2 = e2,
introduced(tautology,[refl,[$fot(e2)]]) ).
cnf(refute_10_86,plain,
unit = e2,
inference(resolve,[$cnf( $equal(e2,e2) )],[refute_10_85,refute_10_84]) ).
cnf(refute_10_87,plain,
op(e0,unit) = op(e0,unit),
introduced(tautology,[refl,[$fot(op(e0,unit))]]) ).
cnf(refute_10_88,plain,
( op(e0,unit) != op(e0,unit)
| unit != e2
| op(e0,unit) = op(e0,e2) ),
introduced(tautology,[equality,[$cnf( $equal(op(e0,unit),op(e0,unit)) ),[1,1],$fot(e2)]]) ).
cnf(refute_10_89,plain,
( unit != e2
| op(e0,unit) = op(e0,e2) ),
inference(resolve,[$cnf( $equal(op(e0,unit),op(e0,unit)) )],[refute_10_87,refute_10_88]) ).
cnf(refute_10_90,plain,
op(e0,unit) = op(e0,e2),
inference(resolve,[$cnf( $equal(unit,e2) )],[refute_10_86,refute_10_89]) ).
cnf(refute_10_91,plain,
( op(e0,unit) != e0
| op(e0,unit) != op(e0,e2)
| op(e0,e2) = e0 ),
introduced(tautology,[equality,[$cnf( $equal(op(e0,unit),e0) ),[0],$fot(op(e0,e2))]]) ).
cnf(refute_10_92,plain,
( op(e0,unit) != e0
| op(e0,e2) = e0 ),
inference(resolve,[$cnf( $equal(op(e0,unit),op(e0,e2)) )],[refute_10_90,refute_10_91]) ).
cnf(refute_10_93,plain,
op(e0,e2) = e0,
inference(resolve,[$cnf( $equal(op(e0,unit),e0) )],[refute_10_1,refute_10_92]) ).
cnf(refute_10_94,plain,
( e0 != op(e2,e0)
| op(e0,e2) != e0
| op(e0,e2) = op(e2,e0) ),
introduced(tautology,[equality,[$cnf( $equal(op(e0,e2),e0) ),[1],$fot(op(e2,e0))]]) ).
cnf(refute_10_95,plain,
( e0 != op(e2,e0)
| op(e0,e2) = op(e2,e0) ),
inference(resolve,[$cnf( $equal(op(e0,e2),e0) )],[refute_10_93,refute_10_94]) ).
cnf(refute_10_96,plain,
op(unit,e0) = e0,
inference(canonicalize,[],[normalize_10_17]) ).
cnf(refute_10_97,plain,
op(unit,e0) = op(unit,e0),
introduced(tautology,[refl,[$fot(op(unit,e0))]]) ).
cnf(refute_10_98,plain,
( op(unit,e0) != op(unit,e0)
| unit != e2
| op(unit,e0) = op(e2,e0) ),
introduced(tautology,[equality,[$cnf( $equal(op(unit,e0),op(unit,e0)) ),[1,0],$fot(e2)]]) ).
cnf(refute_10_99,plain,
( unit != e2
| op(unit,e0) = op(e2,e0) ),
inference(resolve,[$cnf( $equal(op(unit,e0),op(unit,e0)) )],[refute_10_97,refute_10_98]) ).
cnf(refute_10_100,plain,
op(unit,e0) = op(e2,e0),
inference(resolve,[$cnf( $equal(unit,e2) )],[refute_10_86,refute_10_99]) ).
cnf(refute_10_101,plain,
( op(unit,e0) != e0
| op(unit,e0) != op(e2,e0)
| op(e2,e0) = e0 ),
introduced(tautology,[equality,[$cnf( $equal(op(unit,e0),e0) ),[0],$fot(op(e2,e0))]]) ).
cnf(refute_10_102,plain,
( op(unit,e0) != e0
| op(e2,e0) = e0 ),
inference(resolve,[$cnf( $equal(op(unit,e0),op(e2,e0)) )],[refute_10_100,refute_10_101]) ).
cnf(refute_10_103,plain,
op(e2,e0) = e0,
inference(resolve,[$cnf( $equal(op(unit,e0),e0) )],[refute_10_96,refute_10_102]) ).
cnf(refute_10_104,plain,
( e0 != e0
| op(e2,e0) != e0
| e0 = op(e2,e0) ),
introduced(tautology,[equality,[$cnf( ~ $equal(e0,op(e2,e0)) ),[1],$fot(e0)]]) ).
cnf(refute_10_105,plain,
( e0 != e0
| e0 = op(e2,e0) ),
inference(resolve,[$cnf( $equal(op(e2,e0),e0) )],[refute_10_103,refute_10_104]) ).
cnf(refute_10_106,plain,
( e0 != e0
| op(e0,e2) = op(e2,e0) ),
inference(resolve,[$cnf( $equal(e0,op(e2,e0)) )],[refute_10_105,refute_10_95]) ).
cnf(refute_10_107,plain,
e0 != e0,
inference(resolve,[$cnf( $equal(op(e0,e2),op(e2,e0)) )],[refute_10_106,refute_10_0]) ).
cnf(refute_10_108,plain,
e0 = e0,
introduced(tautology,[refl,[$fot(e0)]]) ).
cnf(refute_10_109,plain,
$false,
inference(resolve,[$cnf( $equal(e0,e0) )],[refute_10_108,refute_10_107]) ).
fof(negate_11_0,plain,
~ ( ( ( ( op(e0,e0) = e0
& op(e0,e0) = e0
& op(e0,e0) != e0 )
| ( op(e0,e0) = e1
& op(e1,e1) = e0
& op(e0,e1) != e0 )
| ( op(e0,e0) = e2
& op(e2,e2) = e0
& op(e0,e2) != e0 )
| ( op(e0,e0) = e3
& op(e3,e3) = e0
& op(e0,e3) != e0 )
| ( op(e0,e0) = e4
& op(e4,e4) = e0
& op(e0,e4) != e0 )
| ( op(e1,e1) = e0
& op(e0,e0) = e1
& op(e1,e0) != e1 )
| ( op(e1,e1) = e1
& op(e1,e1) = e1
& op(e1,e1) != e1 )
| ( op(e1,e1) = e2
& op(e2,e2) = e1
& op(e1,e2) != e1 )
| ( op(e1,e1) = e3
& op(e3,e3) = e1
& op(e1,e3) != e1 )
| ( op(e1,e1) = e4
& op(e4,e4) = e1
& op(e1,e4) != e1 )
| ( op(e2,e2) = e0
& op(e0,e0) = e2
& op(e2,e0) != e2 )
| ( op(e2,e2) = e1
& op(e1,e1) = e2
& op(e2,e1) != e2 )
| ( op(e2,e2) = e2
& op(e2,e2) = e2
& op(e2,e2) != e2 )
| ( op(e2,e2) = e3
& op(e3,e3) = e2
& op(e2,e3) != e2 )
| ( op(e2,e2) = e4
& op(e4,e4) = e2
& op(e2,e4) != e2 )
| ( op(e3,e3) = e0
& op(e0,e0) = e3
& op(e3,e0) != e3 )
| ( op(e3,e3) = e1
& op(e1,e1) = e3
& op(e3,e1) != e3 )
| ( op(e3,e3) = e2
& op(e2,e2) = e3
& op(e3,e2) != e3 )
| ( op(e3,e3) = e3
& op(e3,e3) = e3
& op(e3,e3) != e3 )
| ( op(e3,e3) = e4
& op(e4,e4) = e3
& op(e3,e4) != e3 )
| ( op(e4,e4) = e0
& op(e0,e0) = e4
& op(e4,e0) != e4 )
| ( op(e4,e4) = e1
& op(e1,e1) = e4
& op(e4,e1) != e4 )
| ( op(e4,e4) = e2
& op(e2,e2) = e4
& op(e4,e2) != e4 )
| ( op(e4,e4) = e3
& op(e3,e3) = e4
& op(e4,e3) != e4 )
| ( op(e4,e4) = e4
& op(e4,e4) = e4
& op(e4,e4) != e4 ) )
& ~ ( op(e0,e0) != op(e0,e0)
& op(op(e0,e0),e0) = e0
& op(op(e0,e0),e0) != e0 )
& ~ ( op(e1,e0) != op(e0,e1)
& op(op(e0,e1),e1) = e0
& op(op(e0,e1),e0) != e1 )
& ~ ( op(e2,e0) != op(e0,e2)
& op(op(e0,e2),e2) = e0
& op(op(e0,e2),e0) != e2 )
& ~ ( op(e3,e0) != op(e0,e3)
& op(op(e0,e3),e3) = e0
& op(op(e0,e3),e0) != e3 )
& ~ ( op(e4,e0) != op(e0,e4)
& op(op(e0,e4),e4) = e0
& op(op(e0,e4),e0) != e4 )
& ~ ( op(e0,e1) != op(e1,e0)
& op(op(e1,e0),e0) = e1
& op(op(e1,e0),e1) != e0 )
& ~ ( op(e1,e1) != op(e1,e1)
& op(op(e1,e1),e1) = e1
& op(op(e1,e1),e1) != e1 )
& ~ ( op(e2,e1) != op(e1,e2)
& op(op(e1,e2),e2) = e1
& op(op(e1,e2),e1) != e2 )
& ~ ( op(e3,e1) != op(e1,e3)
& op(op(e1,e3),e3) = e1
& op(op(e1,e3),e1) != e3 )
& ~ ( op(e4,e1) != op(e1,e4)
& op(op(e1,e4),e4) = e1
& op(op(e1,e4),e1) != e4 )
& ~ ( op(e0,e2) != op(e2,e0)
& op(op(e2,e0),e0) = e2
& op(op(e2,e0),e2) != e0 )
& op(e1,e2) != op(e2,e1)
& op(op(e2,e1),e1) = e2 )
=> op(op(e2,e1),e2) = e1 ),
inference(negate,[],[subgoal_11]) ).
fof(normalize_11_0,plain,
( op(e1,e2) != op(e2,e1)
& op(op(e2,e1),e2) != e1
& op(op(e2,e1),e1) = e2
& ( op(op(e0,e1),e1) != e0
| op(e1,e0) = op(e0,e1)
| op(op(e0,e1),e0) = e1 )
& ( op(op(e0,e2),e2) != e0
| op(e2,e0) = op(e0,e2)
| op(op(e0,e2),e0) = e2 )
& ( op(op(e0,e3),e3) != e0
| op(e3,e0) = op(e0,e3)
| op(op(e0,e3),e0) = e3 )
& ( op(op(e0,e4),e4) != e0
| op(e4,e0) = op(e0,e4)
| op(op(e0,e4),e0) = e4 )
& ( op(op(e1,e0),e0) != e1
| op(e0,e1) = op(e1,e0)
| op(op(e1,e0),e1) = e0 )
& ( op(op(e1,e2),e2) != e1
| op(e2,e1) = op(e1,e2)
| op(op(e1,e2),e1) = e2 )
& ( op(op(e1,e3),e3) != e1
| op(e3,e1) = op(e1,e3)
| op(op(e1,e3),e1) = e3 )
& ( op(op(e1,e4),e4) != e1
| op(e4,e1) = op(e1,e4)
| op(op(e1,e4),e1) = e4 )
& ( op(op(e2,e0),e0) != e2
| op(e0,e2) = op(e2,e0)
| op(op(e2,e0),e2) = e0 )
& ( ( op(e0,e1) != e0
& op(e0,e0) = e1
& op(e1,e1) = e0 )
| ( op(e0,e2) != e0
& op(e0,e0) = e2
& op(e2,e2) = e0 )
| ( op(e0,e3) != e0
& op(e0,e0) = e3
& op(e3,e3) = e0 )
| ( op(e0,e4) != e0
& op(e0,e0) = e4
& op(e4,e4) = e0 )
| ( op(e1,e0) != e1
& op(e0,e0) = e1
& op(e1,e1) = e0 )
| ( op(e1,e2) != e1
& op(e1,e1) = e2
& op(e2,e2) = e1 )
| ( op(e1,e3) != e1
& op(e1,e1) = e3
& op(e3,e3) = e1 )
| ( op(e1,e4) != e1
& op(e1,e1) = e4
& op(e4,e4) = e1 )
| ( op(e2,e0) != e2
& op(e0,e0) = e2
& op(e2,e2) = e0 )
| ( op(e2,e1) != e2
& op(e1,e1) = e2
& op(e2,e2) = e1 )
| ( op(e2,e3) != e2
& op(e2,e2) = e3
& op(e3,e3) = e2 )
| ( op(e2,e4) != e2
& op(e2,e2) = e4
& op(e4,e4) = e2 )
| ( op(e3,e0) != e3
& op(e0,e0) = e3
& op(e3,e3) = e0 )
| ( op(e3,e1) != e3
& op(e1,e1) = e3
& op(e3,e3) = e1 )
| ( op(e3,e2) != e3
& op(e2,e2) = e3
& op(e3,e3) = e2 )
| ( op(e3,e4) != e3
& op(e3,e3) = e4
& op(e4,e4) = e3 )
| ( op(e4,e0) != e4
& op(e0,e0) = e4
& op(e4,e4) = e0 )
| ( op(e4,e1) != e4
& op(e1,e1) = e4
& op(e4,e4) = e1 )
| ( op(e4,e2) != e4
& op(e2,e2) = e4
& op(e4,e4) = e2 )
| ( op(e4,e3) != e4
& op(e3,e3) = e4
& op(e4,e4) = e3 ) ) ),
inference(canonicalize,[],[negate_11_0]) ).
fof(normalize_11_1,plain,
op(e1,e2) != op(e2,e1),
inference(conjunct,[],[normalize_11_0]) ).
fof(normalize_11_2,plain,
( op(e0,unit) = e0
& op(e1,unit) = e1
& op(e2,unit) = e2
& op(e3,unit) = e3
& op(e4,unit) = e4
& op(unit,e0) = e0
& op(unit,e1) = e1
& op(unit,e2) = e2
& op(unit,e3) = e3
& op(unit,e4) = e4
& ( unit = e0
| unit = e1
| unit = e2
| unit = e3
| unit = e4 ) ),
inference(canonicalize,[],[ax2]) ).
fof(normalize_11_3,plain,
op(e1,unit) = e1,
inference(conjunct,[],[normalize_11_2]) ).
fof(normalize_11_4,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_11_5,plain,
op(e2,e0) != op(e2,e1),
inference(conjunct,[],[normalize_11_4]) ).
fof(normalize_11_6,plain,
op(e0,e1) != op(e2,e1),
inference(conjunct,[],[normalize_11_4]) ).
fof(normalize_11_7,plain,
op(op(e2,e1),e1) = e2,
inference(conjunct,[],[normalize_11_0]) ).
fof(normalize_11_8,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_11_9,plain,
( op(e2,e1) = e0
| op(e2,e1) = e1
| op(e2,e1) = e2
| op(e2,e1) = e3
| op(e2,e1) = e4 ),
inference(conjunct,[],[normalize_11_8]) ).
fof(normalize_11_10,plain,
op(e2,e1) != op(e4,e1),
inference(conjunct,[],[normalize_11_4]) ).
fof(normalize_11_11,plain,
( e0 = op(op(e4,e4),e4)
& e1 = op(e4,e4)
& e2 = op(op(e4,op(e4,e4)),e4)
& e3 = op(e4,op(e4,e4)) ),
inference(canonicalize,[],[ax6]) ).
fof(normalize_11_12,plain,
e3 = op(e4,op(e4,e4)),
inference(conjunct,[],[normalize_11_11]) ).
fof(normalize_11_13,plain,
e1 = op(e4,e4),
inference(conjunct,[],[normalize_11_11]) ).
fof(normalize_11_14,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_11_15,plain,
e2 != e3,
inference(conjunct,[],[normalize_11_14]) ).
fof(normalize_11_16,plain,
e1 != e2,
inference(conjunct,[],[normalize_11_14]) ).
fof(normalize_11_17,plain,
op(unit,e1) = e1,
inference(conjunct,[],[normalize_11_2]) ).
fof(normalize_11_18,plain,
op(e0,unit) = e0,
inference(conjunct,[],[normalize_11_2]) ).
fof(normalize_11_19,plain,
op(unit,e4) = e4,
inference(conjunct,[],[normalize_11_2]) ).
fof(normalize_11_20,plain,
( unit = e0
| unit = e1
| unit = e2
| unit = e3
| unit = e4 ),
inference(conjunct,[],[normalize_11_2]) ).
fof(normalize_11_21,plain,
e0 = op(op(e4,e4),e4),
inference(conjunct,[],[normalize_11_11]) ).
fof(normalize_11_22,plain,
e0 != e4,
inference(conjunct,[],[normalize_11_14]) ).
fof(normalize_11_23,plain,
e2 = op(op(e4,op(e4,e4)),e4),
inference(conjunct,[],[normalize_11_11]) ).
fof(normalize_11_24,plain,
e2 != e4,
inference(conjunct,[],[normalize_11_14]) ).
fof(normalize_11_25,plain,
op(e0,e4) != op(e1,e4),
inference(conjunct,[],[normalize_11_4]) ).
fof(normalize_11_26,plain,
op(e2,unit) = e2,
inference(conjunct,[],[normalize_11_2]) ).
cnf(refute_11_0,plain,
op(e1,e2) != op(e2,e1),
inference(canonicalize,[],[normalize_11_1]) ).
cnf(refute_11_1,plain,
op(e1,unit) = e1,
inference(canonicalize,[],[normalize_11_3]) ).
cnf(refute_11_2,plain,
op(e2,e0) != op(e2,e1),
inference(canonicalize,[],[normalize_11_5]) ).
cnf(refute_11_3,plain,
op(e0,e1) != op(e2,e1),
inference(canonicalize,[],[normalize_11_6]) ).
cnf(refute_11_4,plain,
op(op(e2,e1),e1) = e2,
inference(canonicalize,[],[normalize_11_7]) ).
cnf(refute_11_5,plain,
( op(e2,e1) = e0
| op(e2,e1) = e1
| op(e2,e1) = e2
| op(e2,e1) = e3
| op(e2,e1) = e4 ),
inference(canonicalize,[],[normalize_11_9]) ).
cnf(refute_11_6,plain,
op(e2,e1) != op(e4,e1),
inference(canonicalize,[],[normalize_11_10]) ).
cnf(refute_11_7,plain,
e3 = op(e4,op(e4,e4)),
inference(canonicalize,[],[normalize_11_12]) ).
cnf(refute_11_8,plain,
e1 = op(e4,e4),
inference(canonicalize,[],[normalize_11_13]) ).
cnf(refute_11_9,plain,
X = X,
introduced(tautology,[refl,[$fot(X)]]) ).
cnf(refute_11_10,plain,
( X != X
| X != Y
| Y = X ),
introduced(tautology,[equality,[$cnf( $equal(X,X) ),[0],$fot(Y)]]) ).
cnf(refute_11_11,plain,
( X != Y
| Y = X ),
inference(resolve,[$cnf( $equal(X,X) )],[refute_11_9,refute_11_10]) ).
cnf(refute_11_12,plain,
( e1 != op(e4,e4)
| op(e4,e4) = e1 ),
inference(subst,[],[refute_11_11:[bind(X,$fot(e1)),bind(Y,$fot(op(e4,e4)))]]) ).
cnf(refute_11_13,plain,
op(e4,e4) = e1,
inference(resolve,[$cnf( $equal(e1,op(e4,e4)) )],[refute_11_8,refute_11_12]) ).
cnf(refute_11_14,plain,
op(e4,op(e4,e4)) = op(e4,op(e4,e4)),
introduced(tautology,[refl,[$fot(op(e4,op(e4,e4)))]]) ).
cnf(refute_11_15,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_11_16,plain,
( op(e4,e4) != e1
| op(e4,op(e4,e4)) = op(e4,e1) ),
inference(resolve,[$cnf( $equal(op(e4,op(e4,e4)),op(e4,op(e4,e4))) )],[refute_11_14,refute_11_15]) ).
cnf(refute_11_17,plain,
op(e4,op(e4,e4)) = op(e4,e1),
inference(resolve,[$cnf( $equal(op(e4,e4),e1) )],[refute_11_13,refute_11_16]) ).
cnf(refute_11_18,plain,
( e3 != op(e4,op(e4,e4))
| op(e4,op(e4,e4)) != op(e4,e1)
| e3 = op(e4,e1) ),
introduced(tautology,[equality,[$cnf( ~ $equal(e3,op(e4,e1)) ),[0],$fot(op(e4,op(e4,e4)))]]) ).
cnf(refute_11_19,plain,
( e3 != op(e4,op(e4,e4))
| e3 = op(e4,e1) ),
inference(resolve,[$cnf( $equal(op(e4,op(e4,e4)),op(e4,e1)) )],[refute_11_17,refute_11_18]) ).
cnf(refute_11_20,plain,
e3 = op(e4,e1),
inference(resolve,[$cnf( $equal(e3,op(e4,op(e4,e4))) )],[refute_11_7,refute_11_19]) ).
cnf(refute_11_21,plain,
( e3 != op(e4,e1)
| op(e4,e1) = e3 ),
inference(subst,[],[refute_11_11:[bind(X,$fot(e3)),bind(Y,$fot(op(e4,e1)))]]) ).
cnf(refute_11_22,plain,
op(e4,e1) = e3,
inference(resolve,[$cnf( $equal(e3,op(e4,e1)) )],[refute_11_20,refute_11_21]) ).
cnf(refute_11_23,plain,
( op(e2,e1) != e3
| op(e4,e1) != e3
| op(e2,e1) = op(e4,e1) ),
introduced(tautology,[equality,[$cnf( ~ $equal(op(e2,e1),op(e4,e1)) ),[1],$fot(e3)]]) ).
cnf(refute_11_24,plain,
( op(e2,e1) != e3
| op(e2,e1) = op(e4,e1) ),
inference(resolve,[$cnf( $equal(op(e4,e1),e3) )],[refute_11_22,refute_11_23]) ).
cnf(refute_11_25,plain,
op(e2,e1) != e3,
inference(resolve,[$cnf( $equal(op(e2,e1),op(e4,e1)) )],[refute_11_24,refute_11_6]) ).
cnf(refute_11_26,plain,
( op(e2,e1) = e0
| op(e2,e1) = e1
| op(e2,e1) = e2
| op(e2,e1) = e4 ),
inference(resolve,[$cnf( $equal(op(e2,e1),e3) )],[refute_11_5,refute_11_25]) ).
cnf(refute_11_27,plain,
( op(e2,e1) != e4
| op(op(e2,e1),e1) != e2
| op(e4,e1) = e2 ),
introduced(tautology,[equality,[$cnf( $equal(op(op(e2,e1),e1),e2) ),[0,0],$fot(e4)]]) ).
cnf(refute_11_28,plain,
( op(op(e2,e1),e1) != e2
| op(e2,e1) = e0
| op(e2,e1) = e1
| op(e2,e1) = e2
| op(e4,e1) = e2 ),
inference(resolve,[$cnf( $equal(op(e2,e1),e4) )],[refute_11_26,refute_11_27]) ).
cnf(refute_11_29,plain,
( op(e2,e1) = e0
| op(e2,e1) = e1
| op(e2,e1) = e2
| op(e4,e1) = e2 ),
inference(resolve,[$cnf( $equal(op(op(e2,e1),e1),e2) )],[refute_11_4,refute_11_28]) ).
cnf(refute_11_30,plain,
( op(e4,e1) != e2
| op(e4,e1) != e3
| e3 = e2 ),
introduced(tautology,[equality,[$cnf( $equal(op(e4,e1),e2) ),[0],$fot(e3)]]) ).
cnf(refute_11_31,plain,
( op(e4,e1) != e2
| e3 = e2 ),
inference(resolve,[$cnf( $equal(op(e4,e1),e3) )],[refute_11_22,refute_11_30]) ).
cnf(refute_11_32,plain,
( e3 = e2
| op(e2,e1) = e0
| op(e2,e1) = e1
| op(e2,e1) = e2 ),
inference(resolve,[$cnf( $equal(op(e4,e1),e2) )],[refute_11_29,refute_11_31]) ).
cnf(refute_11_33,plain,
e2 != e3,
inference(canonicalize,[],[normalize_11_15]) ).
cnf(refute_11_34,plain,
( e3 != e2
| e2 = e3 ),
inference(subst,[],[refute_11_11:[bind(X,$fot(e3)),bind(Y,$fot(e2))]]) ).
cnf(refute_11_35,plain,
e3 != e2,
inference(resolve,[$cnf( $equal(e2,e3) )],[refute_11_34,refute_11_33]) ).
cnf(refute_11_36,plain,
( op(e2,e1) = e0
| op(e2,e1) = e1
| op(e2,e1) = e2 ),
inference(resolve,[$cnf( $equal(e3,e2) )],[refute_11_32,refute_11_35]) ).
cnf(refute_11_37,plain,
( op(e2,e1) != e0
| op(op(e2,e1),e1) != e2
| op(e0,e1) = e2 ),
introduced(tautology,[equality,[$cnf( $equal(op(op(e2,e1),e1),e2) ),[0,0],$fot(e0)]]) ).
cnf(refute_11_38,plain,
( op(op(e2,e1),e1) != e2
| op(e0,e1) = e2
| op(e2,e1) = e1
| op(e2,e1) = e2 ),
inference(resolve,[$cnf( $equal(op(e2,e1),e0) )],[refute_11_36,refute_11_37]) ).
cnf(refute_11_39,plain,
( op(e0,e1) = e2
| op(e2,e1) = e1
| op(e2,e1) = e2 ),
inference(resolve,[$cnf( $equal(op(op(e2,e1),e1),e2) )],[refute_11_4,refute_11_38]) ).
cnf(refute_11_40,plain,
( op(e0,e1) != e1
| op(e2,e1) != e1
| op(e0,e1) = op(e2,e1) ),
introduced(tautology,[equality,[$cnf( ~ $equal(op(e0,e1),op(e2,e1)) ),[1],$fot(e1)]]) ).
cnf(refute_11_41,plain,
( op(e0,e1) != e1
| op(e0,e1) = e2
| op(e0,e1) = op(e2,e1)
| op(e2,e1) = e2 ),
inference(resolve,[$cnf( $equal(op(e2,e1),e1) )],[refute_11_39,refute_11_40]) ).
cnf(refute_11_42,plain,
( op(e0,e1) != e1
| op(e0,e1) = e2
| op(e2,e1) = e2 ),
inference(resolve,[$cnf( $equal(op(e0,e1),op(e2,e1)) )],[refute_11_41,refute_11_3]) ).
cnf(refute_11_43,plain,
( op(e0,e1) != e1
| op(e0,e1) != e2
| e1 = e2 ),
introduced(tautology,[equality,[$cnf( $equal(op(e0,e1),e2) ),[0],$fot(e1)]]) ).
cnf(refute_11_44,plain,
( op(e0,e1) != e1
| e1 = e2
| op(e2,e1) = e2 ),
inference(resolve,[$cnf( $equal(op(e0,e1),e2) )],[refute_11_42,refute_11_43]) ).
cnf(refute_11_45,plain,
e1 != e2,
inference(canonicalize,[],[normalize_11_16]) ).
cnf(refute_11_46,plain,
( op(e0,e1) != e1
| op(e2,e1) = e2 ),
inference(resolve,[$cnf( $equal(e1,e2) )],[refute_11_44,refute_11_45]) ).
cnf(refute_11_47,plain,
op(unit,e1) = e1,
inference(canonicalize,[],[normalize_11_17]) ).
cnf(refute_11_48,plain,
op(e0,unit) = e0,
inference(canonicalize,[],[normalize_11_18]) ).
cnf(refute_11_49,plain,
op(unit,e4) = e4,
inference(canonicalize,[],[normalize_11_19]) ).
cnf(refute_11_50,plain,
( unit = e0
| unit = e1
| unit = e2
| unit = e3
| unit = e4 ),
inference(canonicalize,[],[normalize_11_20]) ).
cnf(refute_11_51,plain,
( op(unit,e4) != e4
| unit != e1
| op(e1,e4) = e4 ),
introduced(tautology,[equality,[$cnf( $equal(op(unit,e4),e4) ),[0,0],$fot(e1)]]) ).
cnf(refute_11_52,plain,
( op(unit,e4) != e4
| op(e1,e4) = e4
| unit = e0
| unit = e2
| unit = e3
| unit = e4 ),
inference(resolve,[$cnf( $equal(unit,e1) )],[refute_11_50,refute_11_51]) ).
cnf(refute_11_53,plain,
( op(e1,e4) = e4
| unit = e0
| unit = e2
| unit = e3
| unit = e4 ),
inference(resolve,[$cnf( $equal(op(unit,e4),e4) )],[refute_11_49,refute_11_52]) ).
cnf(refute_11_54,plain,
e0 = op(op(e4,e4),e4),
inference(canonicalize,[],[normalize_11_21]) ).
cnf(refute_11_55,plain,
op(op(e4,e4),e4) = op(op(e4,e4),e4),
introduced(tautology,[refl,[$fot(op(op(e4,e4),e4))]]) ).
cnf(refute_11_56,plain,
( op(e4,e4) != e1
| op(op(e4,e4),e4) != op(op(e4,e4),e4)
| op(op(e4,e4),e4) = op(e1,e4) ),
introduced(tautology,[equality,[$cnf( $equal(op(op(e4,e4),e4),op(op(e4,e4),e4)) ),[1,0],$fot(e1)]]) ).
cnf(refute_11_57,plain,
( op(e4,e4) != e1
| op(op(e4,e4),e4) = op(e1,e4) ),
inference(resolve,[$cnf( $equal(op(op(e4,e4),e4),op(op(e4,e4),e4)) )],[refute_11_55,refute_11_56]) ).
cnf(refute_11_58,plain,
op(op(e4,e4),e4) = op(e1,e4),
inference(resolve,[$cnf( $equal(op(e4,e4),e1) )],[refute_11_13,refute_11_57]) ).
cnf(refute_11_59,plain,
( e0 != op(op(e4,e4),e4)
| op(op(e4,e4),e4) != op(e1,e4)
| e0 = op(e1,e4) ),
introduced(tautology,[equality,[$cnf( ~ $equal(e0,op(e1,e4)) ),[0],$fot(op(op(e4,e4),e4))]]) ).
cnf(refute_11_60,plain,
( e0 != op(op(e4,e4),e4)
| e0 = op(e1,e4) ),
inference(resolve,[$cnf( $equal(op(op(e4,e4),e4),op(e1,e4)) )],[refute_11_58,refute_11_59]) ).
cnf(refute_11_61,plain,
e0 = op(e1,e4),
inference(resolve,[$cnf( $equal(e0,op(op(e4,e4),e4)) )],[refute_11_54,refute_11_60]) ).
cnf(refute_11_62,plain,
( e0 != op(e1,e4)
| op(e1,e4) = e0 ),
inference(subst,[],[refute_11_11:[bind(X,$fot(e0)),bind(Y,$fot(op(e1,e4)))]]) ).
cnf(refute_11_63,plain,
op(e1,e4) = e0,
inference(resolve,[$cnf( $equal(e0,op(e1,e4)) )],[refute_11_61,refute_11_62]) ).
cnf(refute_11_64,plain,
( op(e1,e4) != e0
| op(e1,e4) != e4
| e0 = e4 ),
introduced(tautology,[equality,[$cnf( $equal(op(e1,e4),e4) ),[0],$fot(e0)]]) ).
cnf(refute_11_65,plain,
( op(e1,e4) != e4
| e0 = e4 ),
inference(resolve,[$cnf( $equal(op(e1,e4),e0) )],[refute_11_63,refute_11_64]) ).
cnf(refute_11_66,plain,
( e0 = e4
| unit = e0
| unit = e2
| unit = e3
| unit = e4 ),
inference(resolve,[$cnf( $equal(op(e1,e4),e4) )],[refute_11_53,refute_11_65]) ).
cnf(refute_11_67,plain,
e0 != e4,
inference(canonicalize,[],[normalize_11_22]) ).
cnf(refute_11_68,plain,
( unit = e0
| unit = e2
| unit = e3
| unit = e4 ),
inference(resolve,[$cnf( $equal(e0,e4) )],[refute_11_66,refute_11_67]) ).
cnf(refute_11_69,plain,
( op(unit,e4) != e4
| unit != e3
| op(e3,e4) = e4 ),
introduced(tautology,[equality,[$cnf( $equal(op(unit,e4),e4) ),[0,0],$fot(e3)]]) ).
cnf(refute_11_70,plain,
( op(unit,e4) != e4
| op(e3,e4) = e4
| unit = e0
| unit = e2
| unit = e4 ),
inference(resolve,[$cnf( $equal(unit,e3) )],[refute_11_68,refute_11_69]) ).
cnf(refute_11_71,plain,
( op(e3,e4) = e4
| unit = e0
| unit = e2
| unit = e4 ),
inference(resolve,[$cnf( $equal(op(unit,e4),e4) )],[refute_11_49,refute_11_70]) ).
cnf(refute_11_72,plain,
e2 = op(op(e4,op(e4,e4)),e4),
inference(canonicalize,[],[normalize_11_23]) ).
cnf(refute_11_73,plain,
op(op(e4,op(e4,e4)),e4) = op(op(e4,op(e4,e4)),e4),
introduced(tautology,[refl,[$fot(op(op(e4,op(e4,e4)),e4))]]) ).
cnf(refute_11_74,plain,
( op(e4,op(e4,e4)) != op(e4,e1)
| op(op(e4,op(e4,e4)),e4) != op(op(e4,op(e4,e4)),e4)
| op(op(e4,op(e4,e4)),e4) = op(op(e4,e1),e4) ),
introduced(tautology,[equality,[$cnf( $equal(op(op(e4,op(e4,e4)),e4),op(op(e4,op(e4,e4)),e4)) ),[1,0],$fot(op(e4,e1))]]) ).
cnf(refute_11_75,plain,
( op(e4,op(e4,e4)) != op(e4,e1)
| op(op(e4,op(e4,e4)),e4) = op(op(e4,e1),e4) ),
inference(resolve,[$cnf( $equal(op(op(e4,op(e4,e4)),e4),op(op(e4,op(e4,e4)),e4)) )],[refute_11_73,refute_11_74]) ).
cnf(refute_11_76,plain,
op(op(e4,op(e4,e4)),e4) = op(op(e4,e1),e4),
inference(resolve,[$cnf( $equal(op(e4,op(e4,e4)),op(e4,e1)) )],[refute_11_17,refute_11_75]) ).
cnf(refute_11_77,plain,
( e2 != op(op(e4,op(e4,e4)),e4)
| op(op(e4,op(e4,e4)),e4) != op(op(e4,e1),e4)
| e2 = op(op(e4,e1),e4) ),
introduced(tautology,[equality,[$cnf( ~ $equal(e2,op(op(e4,e1),e4)) ),[0],$fot(op(op(e4,op(e4,e4)),e4))]]) ).
cnf(refute_11_78,plain,
( e2 != op(op(e4,op(e4,e4)),e4)
| e2 = op(op(e4,e1),e4) ),
inference(resolve,[$cnf( $equal(op(op(e4,op(e4,e4)),e4),op(op(e4,e1),e4)) )],[refute_11_76,refute_11_77]) ).
cnf(refute_11_79,plain,
e2 = op(op(e4,e1),e4),
inference(resolve,[$cnf( $equal(e2,op(op(e4,op(e4,e4)),e4)) )],[refute_11_72,refute_11_78]) ).
cnf(refute_11_80,plain,
op(op(e4,e1),e4) = op(op(e4,e1),e4),
introduced(tautology,[refl,[$fot(op(op(e4,e1),e4))]]) ).
cnf(refute_11_81,plain,
( op(e4,e1) != e3
| op(op(e4,e1),e4) != op(op(e4,e1),e4)
| op(op(e4,e1),e4) = op(e3,e4) ),
introduced(tautology,[equality,[$cnf( $equal(op(op(e4,e1),e4),op(op(e4,e1),e4)) ),[1,0],$fot(e3)]]) ).
cnf(refute_11_82,plain,
( op(e4,e1) != e3
| op(op(e4,e1),e4) = op(e3,e4) ),
inference(resolve,[$cnf( $equal(op(op(e4,e1),e4),op(op(e4,e1),e4)) )],[refute_11_80,refute_11_81]) ).
cnf(refute_11_83,plain,
op(op(e4,e1),e4) = op(e3,e4),
inference(resolve,[$cnf( $equal(op(e4,e1),e3) )],[refute_11_22,refute_11_82]) ).
cnf(refute_11_84,plain,
( e2 != op(op(e4,e1),e4)
| op(op(e4,e1),e4) != op(e3,e4)
| e2 = op(e3,e4) ),
introduced(tautology,[equality,[$cnf( ~ $equal(e2,op(e3,e4)) ),[0],$fot(op(op(e4,e1),e4))]]) ).
cnf(refute_11_85,plain,
( e2 != op(op(e4,e1),e4)
| e2 = op(e3,e4) ),
inference(resolve,[$cnf( $equal(op(op(e4,e1),e4),op(e3,e4)) )],[refute_11_83,refute_11_84]) ).
cnf(refute_11_86,plain,
e2 = op(e3,e4),
inference(resolve,[$cnf( $equal(e2,op(op(e4,e1),e4)) )],[refute_11_79,refute_11_85]) ).
cnf(refute_11_87,plain,
( e2 != op(e3,e4)
| op(e3,e4) = e2 ),
inference(subst,[],[refute_11_11:[bind(X,$fot(e2)),bind(Y,$fot(op(e3,e4)))]]) ).
cnf(refute_11_88,plain,
op(e3,e4) = e2,
inference(resolve,[$cnf( $equal(e2,op(e3,e4)) )],[refute_11_86,refute_11_87]) ).
cnf(refute_11_89,plain,
( op(e3,e4) != e2
| op(e3,e4) != e4
| e2 = e4 ),
introduced(tautology,[equality,[$cnf( $equal(op(e3,e4),e4) ),[0],$fot(e2)]]) ).
cnf(refute_11_90,plain,
( op(e3,e4) != e4
| e2 = e4 ),
inference(resolve,[$cnf( $equal(op(e3,e4),e2) )],[refute_11_88,refute_11_89]) ).
cnf(refute_11_91,plain,
( e2 = e4
| unit = e0
| unit = e2
| unit = e4 ),
inference(resolve,[$cnf( $equal(op(e3,e4),e4) )],[refute_11_71,refute_11_90]) ).
cnf(refute_11_92,plain,
e2 != e4,
inference(canonicalize,[],[normalize_11_24]) ).
cnf(refute_11_93,plain,
( unit = e0
| unit = e2
| unit = e4 ),
inference(resolve,[$cnf( $equal(e2,e4) )],[refute_11_91,refute_11_92]) ).
cnf(refute_11_94,plain,
( op(e0,unit) != e0
| unit != e4
| op(e0,e4) = e0 ),
introduced(tautology,[equality,[$cnf( $equal(op(e0,unit),e0) ),[0,1],$fot(e4)]]) ).
cnf(refute_11_95,plain,
( op(e0,unit) != e0
| op(e0,e4) = e0
| unit = e0
| unit = e2 ),
inference(resolve,[$cnf( $equal(unit,e4) )],[refute_11_93,refute_11_94]) ).
cnf(refute_11_96,plain,
( op(e0,e4) = e0
| unit = e0
| unit = e2 ),
inference(resolve,[$cnf( $equal(op(e0,unit),e0) )],[refute_11_48,refute_11_95]) ).
cnf(refute_11_97,plain,
op(e0,e4) != op(e1,e4),
inference(canonicalize,[],[normalize_11_25]) ).
cnf(refute_11_98,plain,
( op(e0,e4) != e0
| op(e1,e4) != e0
| op(e0,e4) = op(e1,e4) ),
introduced(tautology,[equality,[$cnf( ~ $equal(op(e0,e4),op(e1,e4)) ),[1],$fot(e0)]]) ).
cnf(refute_11_99,plain,
( op(e0,e4) != e0
| op(e0,e4) = op(e1,e4) ),
inference(resolve,[$cnf( $equal(op(e1,e4),e0) )],[refute_11_63,refute_11_98]) ).
cnf(refute_11_100,plain,
op(e0,e4) != e0,
inference(resolve,[$cnf( $equal(op(e0,e4),op(e1,e4)) )],[refute_11_99,refute_11_97]) ).
cnf(refute_11_101,plain,
( unit = e0
| unit = e2 ),
inference(resolve,[$cnf( $equal(op(e0,e4),e0) )],[refute_11_96,refute_11_100]) ).
cnf(refute_11_102,plain,
( op(unit,e1) != e1
| unit != e0
| op(e0,e1) = e1 ),
introduced(tautology,[equality,[$cnf( $equal(op(unit,e1),e1) ),[0,0],$fot(e0)]]) ).
cnf(refute_11_103,plain,
( op(unit,e1) != e1
| op(e0,e1) = e1
| unit = e2 ),
inference(resolve,[$cnf( $equal(unit,e0) )],[refute_11_101,refute_11_102]) ).
cnf(refute_11_104,plain,
( op(e0,e1) = e1
| unit = e2 ),
inference(resolve,[$cnf( $equal(op(unit,e1),e1) )],[refute_11_47,refute_11_103]) ).
cnf(refute_11_105,plain,
( e1 != e1
| op(e0,e1) != e1
| op(e0,e1) = e1 ),
introduced(tautology,[equality,[$cnf( $equal(op(e0,e1),e1) ),[0,1],$fot(e1)]]) ).
cnf(refute_11_106,plain,
( e1 != e1
| op(e0,e1) = e1
| unit = e2 ),
inference(resolve,[$cnf( $equal(op(e0,e1),e1) )],[refute_11_104,refute_11_105]) ).
cnf(refute_11_107,plain,
( e1 != e1
| op(e2,e1) = e2
| unit = e2 ),
inference(resolve,[$cnf( $equal(op(e0,e1),e1) )],[refute_11_106,refute_11_46]) ).
cnf(refute_11_108,plain,
e1 = e1,
introduced(tautology,[refl,[$fot(e1)]]) ).
cnf(refute_11_109,plain,
( op(e2,e1) = e2
| unit = e2 ),
inference(resolve,[$cnf( $equal(e1,e1) )],[refute_11_108,refute_11_107]) ).
cnf(refute_11_110,plain,
( op(e2,e0) != e2
| op(e2,e1) != e2
| op(e2,e0) = op(e2,e1) ),
introduced(tautology,[equality,[$cnf( ~ $equal(op(e2,e0),op(e2,e1)) ),[1],$fot(e2)]]) ).
cnf(refute_11_111,plain,
( op(e2,e0) != e2
| op(e2,e0) = op(e2,e1)
| unit = e2 ),
inference(resolve,[$cnf( $equal(op(e2,e1),e2) )],[refute_11_109,refute_11_110]) ).
cnf(refute_11_112,plain,
( op(e2,e0) != e2
| unit = e2 ),
inference(resolve,[$cnf( $equal(op(e2,e0),op(e2,e1)) )],[refute_11_111,refute_11_2]) ).
cnf(refute_11_113,plain,
op(e2,unit) = e2,
inference(canonicalize,[],[normalize_11_26]) ).
cnf(refute_11_114,plain,
( op(e2,unit) != e2
| unit != e0
| op(e2,e0) = e2 ),
introduced(tautology,[equality,[$cnf( $equal(op(e2,unit),e2) ),[0,1],$fot(e0)]]) ).
cnf(refute_11_115,plain,
( op(e2,unit) != e2
| op(e2,e0) = e2
| unit = e2 ),
inference(resolve,[$cnf( $equal(unit,e0) )],[refute_11_101,refute_11_114]) ).
cnf(refute_11_116,plain,
( op(e2,e0) = e2
| unit = e2 ),
inference(resolve,[$cnf( $equal(op(e2,unit),e2) )],[refute_11_113,refute_11_115]) ).
cnf(refute_11_117,plain,
( e2 != e2
| op(e2,e0) != e2
| op(e2,e0) = e2 ),
introduced(tautology,[equality,[$cnf( $equal(op(e2,e0),e2) ),[0,0],$fot(e2)]]) ).
cnf(refute_11_118,plain,
( e2 != e2
| op(e2,e0) = e2
| unit = e2 ),
inference(resolve,[$cnf( $equal(op(e2,e0),e2) )],[refute_11_116,refute_11_117]) ).
cnf(refute_11_119,plain,
( e2 != e2
| unit = e2 ),
inference(resolve,[$cnf( $equal(op(e2,e0),e2) )],[refute_11_118,refute_11_112]) ).
cnf(refute_11_120,plain,
e2 = e2,
introduced(tautology,[refl,[$fot(e2)]]) ).
cnf(refute_11_121,plain,
unit = e2,
inference(resolve,[$cnf( $equal(e2,e2) )],[refute_11_120,refute_11_119]) ).
cnf(refute_11_122,plain,
op(e1,unit) = op(e1,unit),
introduced(tautology,[refl,[$fot(op(e1,unit))]]) ).
cnf(refute_11_123,plain,
( op(e1,unit) != op(e1,unit)
| unit != e2
| op(e1,unit) = op(e1,e2) ),
introduced(tautology,[equality,[$cnf( $equal(op(e1,unit),op(e1,unit)) ),[1,1],$fot(e2)]]) ).
cnf(refute_11_124,plain,
( unit != e2
| op(e1,unit) = op(e1,e2) ),
inference(resolve,[$cnf( $equal(op(e1,unit),op(e1,unit)) )],[refute_11_122,refute_11_123]) ).
cnf(refute_11_125,plain,
op(e1,unit) = op(e1,e2),
inference(resolve,[$cnf( $equal(unit,e2) )],[refute_11_121,refute_11_124]) ).
cnf(refute_11_126,plain,
( op(e1,unit) != e1
| op(e1,unit) != op(e1,e2)
| op(e1,e2) = e1 ),
introduced(tautology,[equality,[$cnf( $equal(op(e1,unit),e1) ),[0],$fot(op(e1,e2))]]) ).
cnf(refute_11_127,plain,
( op(e1,unit) != e1
| op(e1,e2) = e1 ),
inference(resolve,[$cnf( $equal(op(e1,unit),op(e1,e2)) )],[refute_11_125,refute_11_126]) ).
cnf(refute_11_128,plain,
op(e1,e2) = e1,
inference(resolve,[$cnf( $equal(op(e1,unit),e1) )],[refute_11_1,refute_11_127]) ).
cnf(refute_11_129,plain,
( e1 != op(e2,e1)
| op(e1,e2) != e1
| op(e1,e2) = op(e2,e1) ),
introduced(tautology,[equality,[$cnf( $equal(op(e1,e2),e1) ),[1],$fot(op(e2,e1))]]) ).
cnf(refute_11_130,plain,
( e1 != op(e2,e1)
| op(e1,e2) = op(e2,e1) ),
inference(resolve,[$cnf( $equal(op(e1,e2),e1) )],[refute_11_128,refute_11_129]) ).
cnf(refute_11_131,plain,
op(unit,e1) = op(unit,e1),
introduced(tautology,[refl,[$fot(op(unit,e1))]]) ).
cnf(refute_11_132,plain,
( op(unit,e1) != op(unit,e1)
| unit != e2
| op(unit,e1) = op(e2,e1) ),
introduced(tautology,[equality,[$cnf( $equal(op(unit,e1),op(unit,e1)) ),[1,0],$fot(e2)]]) ).
cnf(refute_11_133,plain,
( unit != e2
| op(unit,e1) = op(e2,e1) ),
inference(resolve,[$cnf( $equal(op(unit,e1),op(unit,e1)) )],[refute_11_131,refute_11_132]) ).
cnf(refute_11_134,plain,
op(unit,e1) = op(e2,e1),
inference(resolve,[$cnf( $equal(unit,e2) )],[refute_11_121,refute_11_133]) ).
cnf(refute_11_135,plain,
( op(unit,e1) != e1
| op(unit,e1) != op(e2,e1)
| op(e2,e1) = e1 ),
introduced(tautology,[equality,[$cnf( $equal(op(unit,e1),e1) ),[0],$fot(op(e2,e1))]]) ).
cnf(refute_11_136,plain,
( op(unit,e1) != e1
| op(e2,e1) = e1 ),
inference(resolve,[$cnf( $equal(op(unit,e1),op(e2,e1)) )],[refute_11_134,refute_11_135]) ).
cnf(refute_11_137,plain,
op(e2,e1) = e1,
inference(resolve,[$cnf( $equal(op(unit,e1),e1) )],[refute_11_47,refute_11_136]) ).
cnf(refute_11_138,plain,
( e1 != e1
| op(e2,e1) != e1
| e1 = op(e2,e1) ),
introduced(tautology,[equality,[$cnf( ~ $equal(e1,op(e2,e1)) ),[1],$fot(e1)]]) ).
cnf(refute_11_139,plain,
( e1 != e1
| e1 = op(e2,e1) ),
inference(resolve,[$cnf( $equal(op(e2,e1),e1) )],[refute_11_137,refute_11_138]) ).
cnf(refute_11_140,plain,
( e1 != e1
| op(e1,e2) = op(e2,e1) ),
inference(resolve,[$cnf( $equal(e1,op(e2,e1)) )],[refute_11_139,refute_11_130]) ).
cnf(refute_11_141,plain,
e1 != e1,
inference(resolve,[$cnf( $equal(op(e1,e2),op(e2,e1)) )],[refute_11_140,refute_11_0]) ).
cnf(refute_11_142,plain,
$false,
inference(resolve,[$cnf( $equal(e1,e1) )],[refute_11_108,refute_11_141]) ).
fof(negate_12_0,plain,
~ ( ( ( ( op(e0,e0) = e0
& op(e0,e0) = e0
& op(e0,e0) != e0 )
| ( op(e0,e0) = e1
& op(e1,e1) = e0
& op(e0,e1) != e0 )
| ( op(e0,e0) = e2
& op(e2,e2) = e0
& op(e0,e2) != e0 )
| ( op(e0,e0) = e3
& op(e3,e3) = e0
& op(e0,e3) != e0 )
| ( op(e0,e0) = e4
& op(e4,e4) = e0
& op(e0,e4) != e0 )
| ( op(e1,e1) = e0
& op(e0,e0) = e1
& op(e1,e0) != e1 )
| ( op(e1,e1) = e1
& op(e1,e1) = e1
& op(e1,e1) != e1 )
| ( op(e1,e1) = e2
& op(e2,e2) = e1
& op(e1,e2) != e1 )
| ( op(e1,e1) = e3
& op(e3,e3) = e1
& op(e1,e3) != e1 )
| ( op(e1,e1) = e4
& op(e4,e4) = e1
& op(e1,e4) != e1 )
| ( op(e2,e2) = e0
& op(e0,e0) = e2
& op(e2,e0) != e2 )
| ( op(e2,e2) = e1
& op(e1,e1) = e2
& op(e2,e1) != e2 )
| ( op(e2,e2) = e2
& op(e2,e2) = e2
& op(e2,e2) != e2 )
| ( op(e2,e2) = e3
& op(e3,e3) = e2
& op(e2,e3) != e2 )
| ( op(e2,e2) = e4
& op(e4,e4) = e2
& op(e2,e4) != e2 )
| ( op(e3,e3) = e0
& op(e0,e0) = e3
& op(e3,e0) != e3 )
| ( op(e3,e3) = e1
& op(e1,e1) = e3
& op(e3,e1) != e3 )
| ( op(e3,e3) = e2
& op(e2,e2) = e3
& op(e3,e2) != e3 )
| ( op(e3,e3) = e3
& op(e3,e3) = e3
& op(e3,e3) != e3 )
| ( op(e3,e3) = e4
& op(e4,e4) = e3
& op(e3,e4) != e3 )
| ( op(e4,e4) = e0
& op(e0,e0) = e4
& op(e4,e0) != e4 )
| ( op(e4,e4) = e1
& op(e1,e1) = e4
& op(e4,e1) != e4 )
| ( op(e4,e4) = e2
& op(e2,e2) = e4
& op(e4,e2) != e4 )
| ( op(e4,e4) = e3
& op(e3,e3) = e4
& op(e4,e3) != e4 )
| ( op(e4,e4) = e4
& op(e4,e4) = e4
& op(e4,e4) != e4 ) )
& ~ ( op(e0,e0) != op(e0,e0)
& op(op(e0,e0),e0) = e0
& op(op(e0,e0),e0) != e0 )
& ~ ( op(e1,e0) != op(e0,e1)
& op(op(e0,e1),e1) = e0
& op(op(e0,e1),e0) != e1 )
& ~ ( op(e2,e0) != op(e0,e2)
& op(op(e0,e2),e2) = e0
& op(op(e0,e2),e0) != e2 )
& ~ ( op(e3,e0) != op(e0,e3)
& op(op(e0,e3),e3) = e0
& op(op(e0,e3),e0) != e3 )
& ~ ( op(e4,e0) != op(e0,e4)
& op(op(e0,e4),e4) = e0
& op(op(e0,e4),e0) != e4 )
& ~ ( op(e0,e1) != op(e1,e0)
& op(op(e1,e0),e0) = e1
& op(op(e1,e0),e1) != e0 )
& ~ ( op(e1,e1) != op(e1,e1)
& op(op(e1,e1),e1) = e1
& op(op(e1,e1),e1) != e1 )
& ~ ( op(e2,e1) != op(e1,e2)
& op(op(e1,e2),e2) = e1
& op(op(e1,e2),e1) != e2 )
& ~ ( op(e3,e1) != op(e1,e3)
& op(op(e1,e3),e3) = e1
& op(op(e1,e3),e1) != e3 )
& ~ ( op(e4,e1) != op(e1,e4)
& op(op(e1,e4),e4) = e1
& op(op(e1,e4),e1) != e4 )
& ~ ( op(e0,e2) != op(e2,e0)
& op(op(e2,e0),e0) = e2
& op(op(e2,e0),e2) != e0 )
& ~ ( op(e1,e2) != op(e2,e1)
& op(op(e2,e1),e1) = e2
& op(op(e2,e1),e2) != e1 )
& op(e2,e2) != op(e2,e2)
& op(op(e2,e2),e2) = e2 )
=> op(op(e2,e2),e2) = e2 ),
inference(negate,[],[subgoal_12]) ).
fof(normalize_12_0,plain,
$false,
inference(canonicalize,[],[negate_12_0]) ).
cnf(refute_12_0,plain,
$false,
inference(canonicalize,[],[normalize_12_0]) ).
fof(negate_13_0,plain,
~ ( ( ( ( op(e0,e0) = e0
& op(e0,e0) = e0
& op(e0,e0) != e0 )
| ( op(e0,e0) = e1
& op(e1,e1) = e0
& op(e0,e1) != e0 )
| ( op(e0,e0) = e2
& op(e2,e2) = e0
& op(e0,e2) != e0 )
| ( op(e0,e0) = e3
& op(e3,e3) = e0
& op(e0,e3) != e0 )
| ( op(e0,e0) = e4
& op(e4,e4) = e0
& op(e0,e4) != e0 )
| ( op(e1,e1) = e0
& op(e0,e0) = e1
& op(e1,e0) != e1 )
| ( op(e1,e1) = e1
& op(e1,e1) = e1
& op(e1,e1) != e1 )
| ( op(e1,e1) = e2
& op(e2,e2) = e1
& op(e1,e2) != e1 )
| ( op(e1,e1) = e3
& op(e3,e3) = e1
& op(e1,e3) != e1 )
| ( op(e1,e1) = e4
& op(e4,e4) = e1
& op(e1,e4) != e1 )
| ( op(e2,e2) = e0
& op(e0,e0) = e2
& op(e2,e0) != e2 )
| ( op(e2,e2) = e1
& op(e1,e1) = e2
& op(e2,e1) != e2 )
| ( op(e2,e2) = e2
& op(e2,e2) = e2
& op(e2,e2) != e2 )
| ( op(e2,e2) = e3
& op(e3,e3) = e2
& op(e2,e3) != e2 )
| ( op(e2,e2) = e4
& op(e4,e4) = e2
& op(e2,e4) != e2 )
| ( op(e3,e3) = e0
& op(e0,e0) = e3
& op(e3,e0) != e3 )
| ( op(e3,e3) = e1
& op(e1,e1) = e3
& op(e3,e1) != e3 )
| ( op(e3,e3) = e2
& op(e2,e2) = e3
& op(e3,e2) != e3 )
| ( op(e3,e3) = e3
& op(e3,e3) = e3
& op(e3,e3) != e3 )
| ( op(e3,e3) = e4
& op(e4,e4) = e3
& op(e3,e4) != e3 )
| ( op(e4,e4) = e0
& op(e0,e0) = e4
& op(e4,e0) != e4 )
| ( op(e4,e4) = e1
& op(e1,e1) = e4
& op(e4,e1) != e4 )
| ( op(e4,e4) = e2
& op(e2,e2) = e4
& op(e4,e2) != e4 )
| ( op(e4,e4) = e3
& op(e3,e3) = e4
& op(e4,e3) != e4 )
| ( op(e4,e4) = e4
& op(e4,e4) = e4
& op(e4,e4) != e4 ) )
& ~ ( op(e0,e0) != op(e0,e0)
& op(op(e0,e0),e0) = e0
& op(op(e0,e0),e0) != e0 )
& ~ ( op(e1,e0) != op(e0,e1)
& op(op(e0,e1),e1) = e0
& op(op(e0,e1),e0) != e1 )
& ~ ( op(e2,e0) != op(e0,e2)
& op(op(e0,e2),e2) = e0
& op(op(e0,e2),e0) != e2 )
& ~ ( op(e3,e0) != op(e0,e3)
& op(op(e0,e3),e3) = e0
& op(op(e0,e3),e0) != e3 )
& ~ ( op(e4,e0) != op(e0,e4)
& op(op(e0,e4),e4) = e0
& op(op(e0,e4),e0) != e4 )
& ~ ( op(e0,e1) != op(e1,e0)
& op(op(e1,e0),e0) = e1
& op(op(e1,e0),e1) != e0 )
& ~ ( op(e1,e1) != op(e1,e1)
& op(op(e1,e1),e1) = e1
& op(op(e1,e1),e1) != e1 )
& ~ ( op(e2,e1) != op(e1,e2)
& op(op(e1,e2),e2) = e1
& op(op(e1,e2),e1) != e2 )
& ~ ( op(e3,e1) != op(e1,e3)
& op(op(e1,e3),e3) = e1
& op(op(e1,e3),e1) != e3 )
& ~ ( op(e4,e1) != op(e1,e4)
& op(op(e1,e4),e4) = e1
& op(op(e1,e4),e1) != e4 )
& ~ ( op(e0,e2) != op(e2,e0)
& op(op(e2,e0),e0) = e2
& op(op(e2,e0),e2) != e0 )
& ~ ( op(e1,e2) != op(e2,e1)
& op(op(e2,e1),e1) = e2
& op(op(e2,e1),e2) != e1 )
& ~ ( op(e2,e2) != op(e2,e2)
& op(op(e2,e2),e2) = e2
& op(op(e2,e2),e2) != e2 )
& op(e3,e2) != op(e2,e3)
& op(op(e2,e3),e3) = e2 )
=> op(op(e2,e3),e2) = e3 ),
inference(negate,[],[subgoal_13]) ).
fof(normalize_13_0,plain,
( op(e3,e2) != op(e2,e3)
& op(op(e2,e3),e2) != e3
& op(op(e2,e3),e3) = e2
& ( op(op(e0,e1),e1) != e0
| op(e1,e0) = op(e0,e1)
| op(op(e0,e1),e0) = e1 )
& ( op(op(e0,e2),e2) != e0
| op(e2,e0) = op(e0,e2)
| op(op(e0,e2),e0) = e2 )
& ( op(op(e0,e3),e3) != e0
| op(e3,e0) = op(e0,e3)
| op(op(e0,e3),e0) = e3 )
& ( op(op(e0,e4),e4) != e0
| op(e4,e0) = op(e0,e4)
| op(op(e0,e4),e0) = e4 )
& ( op(op(e1,e0),e0) != e1
| op(e0,e1) = op(e1,e0)
| op(op(e1,e0),e1) = e0 )
& ( op(op(e1,e2),e2) != e1
| op(e2,e1) = op(e1,e2)
| op(op(e1,e2),e1) = e2 )
& ( op(op(e1,e3),e3) != e1
| op(e3,e1) = op(e1,e3)
| op(op(e1,e3),e1) = e3 )
& ( op(op(e1,e4),e4) != e1
| op(e4,e1) = op(e1,e4)
| op(op(e1,e4),e1) = e4 )
& ( op(op(e2,e0),e0) != e2
| op(e0,e2) = op(e2,e0)
| op(op(e2,e0),e2) = e0 )
& ( op(op(e2,e1),e1) != e2
| op(e1,e2) = op(e2,e1)
| op(op(e2,e1),e2) = e1 )
& ( ( op(e0,e1) != e0
& op(e0,e0) = e1
& op(e1,e1) = e0 )
| ( op(e0,e2) != e0
& op(e0,e0) = e2
& op(e2,e2) = e0 )
| ( op(e0,e3) != e0
& op(e0,e0) = e3
& op(e3,e3) = e0 )
| ( op(e0,e4) != e0
& op(e0,e0) = e4
& op(e4,e4) = e0 )
| ( op(e1,e0) != e1
& op(e0,e0) = e1
& op(e1,e1) = e0 )
| ( op(e1,e2) != e1
& op(e1,e1) = e2
& op(e2,e2) = e1 )
| ( op(e1,e3) != e1
& op(e1,e1) = e3
& op(e3,e3) = e1 )
| ( op(e1,e4) != e1
& op(e1,e1) = e4
& op(e4,e4) = e1 )
| ( op(e2,e0) != e2
& op(e0,e0) = e2
& op(e2,e2) = e0 )
| ( op(e2,e1) != e2
& op(e1,e1) = e2
& op(e2,e2) = e1 )
| ( op(e2,e3) != e2
& op(e2,e2) = e3
& op(e3,e3) = e2 )
| ( op(e2,e4) != e2
& op(e2,e2) = e4
& op(e4,e4) = e2 )
| ( op(e3,e0) != e3
& op(e0,e0) = e3
& op(e3,e3) = e0 )
| ( op(e3,e1) != e3
& op(e1,e1) = e3
& op(e3,e3) = e1 )
| ( op(e3,e2) != e3
& op(e2,e2) = e3
& op(e3,e3) = e2 )
| ( op(e3,e4) != e3
& op(e3,e3) = e4
& op(e4,e4) = e3 )
| ( op(e4,e0) != e4
& op(e0,e0) = e4
& op(e4,e4) = e0 )
| ( op(e4,e1) != e4
& op(e1,e1) = e4
& op(e4,e4) = e1 )
| ( op(e4,e2) != e4
& op(e2,e2) = e4
& op(e4,e4) = e2 )
| ( op(e4,e3) != e4
& op(e3,e3) = e4
& op(e4,e4) = e3 ) ) ),
inference(canonicalize,[],[negate_13_0]) ).
fof(normalize_13_1,plain,
op(e3,e2) != op(e2,e3),
inference(conjunct,[],[normalize_13_0]) ).
fof(normalize_13_2,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,[],[ax3]) ).
fof(normalize_13_3,plain,
( op(e0,e2) = e4
| op(e1,e2) = e4
| op(e2,e2) = e4
| op(e3,e2) = e4
| op(e4,e2) = e4 ),
inference(conjunct,[],[normalize_13_2]) ).
fof(normalize_13_4,plain,
( op(e0,unit) = e0
& op(e1,unit) = e1
& op(e2,unit) = e2
& op(e3,unit) = e3
& op(e4,unit) = e4
& op(unit,e0) = e0
& op(unit,e1) = e1
& op(unit,e2) = e2
& op(unit,e3) = e3
& op(unit,e4) = e4
& ( unit = e0
| unit = e1
| unit = e2
| unit = e3
| unit = e4 ) ),
inference(canonicalize,[],[ax2]) ).
fof(normalize_13_5,plain,
op(unit,e2) = e2,
inference(conjunct,[],[normalize_13_4]) ).
fof(normalize_13_6,plain,
op(op(e2,e3),e3) = e2,
inference(conjunct,[],[normalize_13_0]) ).
fof(normalize_13_7,plain,
op(unit,e3) = e3,
inference(conjunct,[],[normalize_13_4]) ).
fof(normalize_13_8,plain,
op(e4,unit) = e4,
inference(conjunct,[],[normalize_13_4]) ).
fof(normalize_13_9,plain,
op(unit,e4) = e4,
inference(conjunct,[],[normalize_13_4]) ).
fof(normalize_13_10,plain,
( unit = e0
| unit = e1
| unit = e2
| unit = e3
| unit = e4 ),
inference(conjunct,[],[normalize_13_4]) ).
fof(normalize_13_11,plain,
( e0 = op(op(e4,e4),e4)
& e1 = op(e4,e4)
& e2 = op(op(e4,op(e4,e4)),e4)
& e3 = op(e4,op(e4,e4)) ),
inference(canonicalize,[],[ax6]) ).
fof(normalize_13_12,plain,
e2 = op(op(e4,op(e4,e4)),e4),
inference(conjunct,[],[normalize_13_11]) ).
fof(normalize_13_13,plain,
e1 = op(e4,e4),
inference(conjunct,[],[normalize_13_11]) ).
fof(normalize_13_14,plain,
e3 = op(e4,op(e4,e4)),
inference(conjunct,[],[normalize_13_11]) ).
fof(normalize_13_15,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_13_16,plain,
e2 != e4,
inference(conjunct,[],[normalize_13_15]) ).
fof(normalize_13_17,plain,
e3 != e4,
inference(conjunct,[],[normalize_13_15]) ).
fof(normalize_13_18,plain,
e1 != e4,
inference(conjunct,[],[normalize_13_15]) ).
fof(normalize_13_19,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_13_20,plain,
op(e3,e3) != op(e3,e4),
inference(conjunct,[],[normalize_13_19]) ).
fof(normalize_13_21,plain,
( op(e1,e0) = e3
| op(e1,e1) = e3
| op(e1,e2) = e3
| op(e1,e3) = e3
| op(e1,e4) = e3 ),
inference(conjunct,[],[normalize_13_2]) ).
fof(normalize_13_22,plain,
op(e1,e1) != op(e4,e1),
inference(conjunct,[],[normalize_13_19]) ).
fof(normalize_13_23,plain,
e0 = op(op(e4,e4),e4),
inference(conjunct,[],[normalize_13_11]) ).
fof(normalize_13_24,plain,
e0 != e3,
inference(conjunct,[],[normalize_13_15]) ).
fof(normalize_13_25,plain,
op(e1,unit) = e1,
inference(conjunct,[],[normalize_13_4]) ).
fof(normalize_13_26,plain,
op(e4,e1) != op(e4,e4),
inference(conjunct,[],[normalize_13_19]) ).
fof(normalize_13_27,plain,
op(e0,e3) != op(e1,e3),
inference(conjunct,[],[normalize_13_19]) ).
fof(normalize_13_28,plain,
( op(e2,e0) = e1
| op(e2,e1) = e1
| op(e2,e2) = e1
| op(e2,e3) = e1
| op(e2,e4) = e1 ),
inference(conjunct,[],[normalize_13_2]) ).
fof(normalize_13_29,plain,
op(e2,e4) != op(e4,e4),
inference(conjunct,[],[normalize_13_19]) ).
fof(normalize_13_30,plain,
op(e2,unit) = e2,
inference(conjunct,[],[normalize_13_4]) ).
fof(normalize_13_31,plain,
e1 != e2,
inference(conjunct,[],[normalize_13_15]) ).
fof(normalize_13_32,plain,
op(e1,e3) != op(e4,e3),
inference(conjunct,[],[normalize_13_19]) ).
fof(normalize_13_33,plain,
( op(e4,e0) = e2
| op(e4,e1) = e2
| op(e4,e2) = e2
| op(e4,e3) = e2
| op(e4,e4) = e2 ),
inference(conjunct,[],[normalize_13_2]) ).
fof(normalize_13_34,plain,
e2 != e3,
inference(conjunct,[],[normalize_13_15]) ).
fof(normalize_13_35,plain,
op(e0,e2) != op(e4,e2),
inference(conjunct,[],[normalize_13_19]) ).
fof(normalize_13_36,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_13_37,plain,
( op(e4,e2) = e0
| op(e4,e2) = e1
| op(e4,e2) = e2
| op(e4,e2) = e3
| op(e4,e2) = e4 ),
inference(conjunct,[],[normalize_13_36]) ).
fof(normalize_13_38,plain,
op(e4,e2) != op(e4,e4),
inference(conjunct,[],[normalize_13_19]) ).
fof(normalize_13_39,plain,
op(e4,e1) != op(e4,e2),
inference(conjunct,[],[normalize_13_19]) ).
fof(normalize_13_40,plain,
op(e4,e0) != op(e4,e2),
inference(conjunct,[],[normalize_13_19]) ).
fof(normalize_13_41,plain,
e0 != e2,
inference(conjunct,[],[normalize_13_15]) ).
fof(normalize_13_42,plain,
op(e0,e1) != op(e2,e1),
inference(conjunct,[],[normalize_13_19]) ).
fof(normalize_13_43,plain,
op(unit,e1) = e1,
inference(conjunct,[],[normalize_13_4]) ).
fof(normalize_13_44,plain,
e0 != e4,
inference(conjunct,[],[normalize_13_15]) ).
fof(normalize_13_45,plain,
( op(e2,e0) = e4
| op(e2,e1) = e4
| op(e2,e2) = e4
| op(e2,e3) = e4
| op(e2,e4) = e4 ),
inference(conjunct,[],[normalize_13_2]) ).
fof(normalize_13_46,plain,
( op(e2,e0) = e0
| op(e2,e1) = e0
| op(e2,e2) = e0
| op(e2,e3) = e0
| op(e2,e4) = e0 ),
inference(conjunct,[],[normalize_13_2]) ).
fof(normalize_13_47,plain,
op(e1,e4) != op(e2,e4),
inference(conjunct,[],[normalize_13_19]) ).
fof(normalize_13_48,plain,
e0 != e1,
inference(conjunct,[],[normalize_13_15]) ).
fof(normalize_13_49,plain,
( op(e0,e4) = e3
| op(e1,e4) = e3
| op(e2,e4) = e3
| op(e3,e4) = e3
| op(e4,e4) = e3 ),
inference(conjunct,[],[normalize_13_2]) ).
cnf(refute_13_0,plain,
op(e3,e2) != op(e2,e3),
inference(canonicalize,[],[normalize_13_1]) ).
cnf(refute_13_1,plain,
( op(e0,e2) = e4
| op(e1,e2) = e4
| op(e2,e2) = e4
| op(e3,e2) = e4
| op(e4,e2) = e4 ),
inference(canonicalize,[],[normalize_13_3]) ).
cnf(refute_13_2,plain,
op(unit,e2) = e2,
inference(canonicalize,[],[normalize_13_5]) ).
cnf(refute_13_3,plain,
op(op(e2,e3),e3) = e2,
inference(canonicalize,[],[normalize_13_6]) ).
cnf(refute_13_4,plain,
op(unit,e3) = e3,
inference(canonicalize,[],[normalize_13_7]) ).
cnf(refute_13_5,plain,
op(e4,unit) = e4,
inference(canonicalize,[],[normalize_13_8]) ).
cnf(refute_13_6,plain,
op(unit,e4) = e4,
inference(canonicalize,[],[normalize_13_9]) ).
cnf(refute_13_7,plain,
( unit = e0
| unit = e1
| unit = e2
| unit = e3
| unit = e4 ),
inference(canonicalize,[],[normalize_13_10]) ).
cnf(refute_13_8,plain,
( op(unit,e4) != e4
| unit != e3
| op(e3,e4) = e4 ),
introduced(tautology,[equality,[$cnf( $equal(op(unit,e4),e4) ),[0,0],$fot(e3)]]) ).
cnf(refute_13_9,plain,
( op(unit,e4) != e4
| op(e3,e4) = e4
| unit = e0
| unit = e1
| unit = e2
| unit = e4 ),
inference(resolve,[$cnf( $equal(unit,e3) )],[refute_13_7,refute_13_8]) ).
cnf(refute_13_10,plain,
( op(e3,e4) = e4
| unit = e0
| unit = e1
| unit = e2
| unit = e4 ),
inference(resolve,[$cnf( $equal(op(unit,e4),e4) )],[refute_13_6,refute_13_9]) ).
cnf(refute_13_11,plain,
e2 = op(op(e4,op(e4,e4)),e4),
inference(canonicalize,[],[normalize_13_12]) ).
cnf(refute_13_12,plain,
e1 = op(e4,e4),
inference(canonicalize,[],[normalize_13_13]) ).
cnf(refute_13_13,plain,
X = X,
introduced(tautology,[refl,[$fot(X)]]) ).
cnf(refute_13_14,plain,
( X != X
| X != Y
| Y = X ),
introduced(tautology,[equality,[$cnf( $equal(X,X) ),[0],$fot(Y)]]) ).
cnf(refute_13_15,plain,
( X != Y
| Y = X ),
inference(resolve,[$cnf( $equal(X,X) )],[refute_13_13,refute_13_14]) ).
cnf(refute_13_16,plain,
( e1 != op(e4,e4)
| op(e4,e4) = e1 ),
inference(subst,[],[refute_13_15:[bind(X,$fot(e1)),bind(Y,$fot(op(e4,e4)))]]) ).
cnf(refute_13_17,plain,
op(e4,e4) = e1,
inference(resolve,[$cnf( $equal(e1,op(e4,e4)) )],[refute_13_12,refute_13_16]) ).
cnf(refute_13_18,plain,
op(e4,op(e4,e4)) = op(e4,op(e4,e4)),
introduced(tautology,[refl,[$fot(op(e4,op(e4,e4)))]]) ).
cnf(refute_13_19,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_13_20,plain,
( op(e4,e4) != e1
| op(e4,op(e4,e4)) = op(e4,e1) ),
inference(resolve,[$cnf( $equal(op(e4,op(e4,e4)),op(e4,op(e4,e4))) )],[refute_13_18,refute_13_19]) ).
cnf(refute_13_21,plain,
op(e4,op(e4,e4)) = op(e4,e1),
inference(resolve,[$cnf( $equal(op(e4,e4),e1) )],[refute_13_17,refute_13_20]) ).
cnf(refute_13_22,plain,
op(op(e4,op(e4,e4)),e4) = op(op(e4,op(e4,e4)),e4),
introduced(tautology,[refl,[$fot(op(op(e4,op(e4,e4)),e4))]]) ).
cnf(refute_13_23,plain,
( op(e4,op(e4,e4)) != op(e4,e1)
| op(op(e4,op(e4,e4)),e4) != op(op(e4,op(e4,e4)),e4)
| op(op(e4,op(e4,e4)),e4) = op(op(e4,e1),e4) ),
introduced(tautology,[equality,[$cnf( $equal(op(op(e4,op(e4,e4)),e4),op(op(e4,op(e4,e4)),e4)) ),[1,0],$fot(op(e4,e1))]]) ).
cnf(refute_13_24,plain,
( op(e4,op(e4,e4)) != op(e4,e1)
| op(op(e4,op(e4,e4)),e4) = op(op(e4,e1),e4) ),
inference(resolve,[$cnf( $equal(op(op(e4,op(e4,e4)),e4),op(op(e4,op(e4,e4)),e4)) )],[refute_13_22,refute_13_23]) ).
cnf(refute_13_25,plain,
op(op(e4,op(e4,e4)),e4) = op(op(e4,e1),e4),
inference(resolve,[$cnf( $equal(op(e4,op(e4,e4)),op(e4,e1)) )],[refute_13_21,refute_13_24]) ).
cnf(refute_13_26,plain,
( e2 != op(op(e4,op(e4,e4)),e4)
| op(op(e4,op(e4,e4)),e4) != op(op(e4,e1),e4)
| e2 = op(op(e4,e1),e4) ),
introduced(tautology,[equality,[$cnf( ~ $equal(e2,op(op(e4,e1),e4)) ),[0],$fot(op(op(e4,op(e4,e4)),e4))]]) ).
cnf(refute_13_27,plain,
( e2 != op(op(e4,op(e4,e4)),e4)
| e2 = op(op(e4,e1),e4) ),
inference(resolve,[$cnf( $equal(op(op(e4,op(e4,e4)),e4),op(op(e4,e1),e4)) )],[refute_13_25,refute_13_26]) ).
cnf(refute_13_28,plain,
e2 = op(op(e4,e1),e4),
inference(resolve,[$cnf( $equal(e2,op(op(e4,op(e4,e4)),e4)) )],[refute_13_11,refute_13_27]) ).
cnf(refute_13_29,plain,
e3 = op(e4,op(e4,e4)),
inference(canonicalize,[],[normalize_13_14]) ).
cnf(refute_13_30,plain,
( e3 != op(e4,op(e4,e4))
| op(e4,op(e4,e4)) != op(e4,e1)
| e3 = op(e4,e1) ),
introduced(tautology,[equality,[$cnf( ~ $equal(e3,op(e4,e1)) ),[0],$fot(op(e4,op(e4,e4)))]]) ).
cnf(refute_13_31,plain,
( e3 != op(e4,op(e4,e4))
| e3 = op(e4,e1) ),
inference(resolve,[$cnf( $equal(op(e4,op(e4,e4)),op(e4,e1)) )],[refute_13_21,refute_13_30]) ).
cnf(refute_13_32,plain,
e3 = op(e4,e1),
inference(resolve,[$cnf( $equal(e3,op(e4,op(e4,e4))) )],[refute_13_29,refute_13_31]) ).
cnf(refute_13_33,plain,
( e3 != op(e4,e1)
| op(e4,e1) = e3 ),
inference(subst,[],[refute_13_15:[bind(X,$fot(e3)),bind(Y,$fot(op(e4,e1)))]]) ).
cnf(refute_13_34,plain,
op(e4,e1) = e3,
inference(resolve,[$cnf( $equal(e3,op(e4,e1)) )],[refute_13_32,refute_13_33]) ).
cnf(refute_13_35,plain,
op(op(e4,e1),e4) = op(op(e4,e1),e4),
introduced(tautology,[refl,[$fot(op(op(e4,e1),e4))]]) ).
cnf(refute_13_36,plain,
( op(e4,e1) != e3
| op(op(e4,e1),e4) != op(op(e4,e1),e4)
| op(op(e4,e1),e4) = op(e3,e4) ),
introduced(tautology,[equality,[$cnf( $equal(op(op(e4,e1),e4),op(op(e4,e1),e4)) ),[1,0],$fot(e3)]]) ).
cnf(refute_13_37,plain,
( op(e4,e1) != e3
| op(op(e4,e1),e4) = op(e3,e4) ),
inference(resolve,[$cnf( $equal(op(op(e4,e1),e4),op(op(e4,e1),e4)) )],[refute_13_35,refute_13_36]) ).
cnf(refute_13_38,plain,
op(op(e4,e1),e4) = op(e3,e4),
inference(resolve,[$cnf( $equal(op(e4,e1),e3) )],[refute_13_34,refute_13_37]) ).
cnf(refute_13_39,plain,
( e2 != op(op(e4,e1),e4)
| op(op(e4,e1),e4) != op(e3,e4)
| e2 = op(e3,e4) ),
introduced(tautology,[equality,[$cnf( ~ $equal(e2,op(e3,e4)) ),[0],$fot(op(op(e4,e1),e4))]]) ).
cnf(refute_13_40,plain,
( e2 != op(op(e4,e1),e4)
| e2 = op(e3,e4) ),
inference(resolve,[$cnf( $equal(op(op(e4,e1),e4),op(e3,e4)) )],[refute_13_38,refute_13_39]) ).
cnf(refute_13_41,plain,
e2 = op(e3,e4),
inference(resolve,[$cnf( $equal(e2,op(op(e4,e1),e4)) )],[refute_13_28,refute_13_40]) ).
cnf(refute_13_42,plain,
( e2 != op(e3,e4)
| op(e3,e4) = e2 ),
inference(subst,[],[refute_13_15:[bind(X,$fot(e2)),bind(Y,$fot(op(e3,e4)))]]) ).
cnf(refute_13_43,plain,
op(e3,e4) = e2,
inference(resolve,[$cnf( $equal(e2,op(e3,e4)) )],[refute_13_41,refute_13_42]) ).
cnf(refute_13_44,plain,
( op(e3,e4) != e2
| op(e3,e4) != e4
| e2 = e4 ),
introduced(tautology,[equality,[$cnf( $equal(op(e3,e4),e4) ),[0],$fot(e2)]]) ).
cnf(refute_13_45,plain,
( op(e3,e4) != e4
| e2 = e4 ),
inference(resolve,[$cnf( $equal(op(e3,e4),e2) )],[refute_13_43,refute_13_44]) ).
cnf(refute_13_46,plain,
( e2 = e4
| unit = e0
| unit = e1
| unit = e2
| unit = e4 ),
inference(resolve,[$cnf( $equal(op(e3,e4),e4) )],[refute_13_10,refute_13_45]) ).
cnf(refute_13_47,plain,
e2 != e4,
inference(canonicalize,[],[normalize_13_16]) ).
cnf(refute_13_48,plain,
( unit = e0
| unit = e1
| unit = e2
| unit = e4 ),
inference(resolve,[$cnf( $equal(e2,e4) )],[refute_13_46,refute_13_47]) ).
cnf(refute_13_49,plain,
( op(e4,unit) != e4
| unit != e1
| op(e4,e1) = e4 ),
introduced(tautology,[equality,[$cnf( $equal(op(e4,unit),e4) ),[0,1],$fot(e1)]]) ).
cnf(refute_13_50,plain,
( op(e4,unit) != e4
| op(e4,e1) = e4
| unit = e0
| unit = e2
| unit = e4 ),
inference(resolve,[$cnf( $equal(unit,e1) )],[refute_13_48,refute_13_49]) ).
cnf(refute_13_51,plain,
( op(e4,e1) = e4
| unit = e0
| unit = e2
| unit = e4 ),
inference(resolve,[$cnf( $equal(op(e4,unit),e4) )],[refute_13_5,refute_13_50]) ).
cnf(refute_13_52,plain,
( op(e4,e1) != e3
| op(e4,e1) != e4
| e3 = e4 ),
introduced(tautology,[equality,[$cnf( $equal(op(e4,e1),e4) ),[0],$fot(e3)]]) ).
cnf(refute_13_53,plain,
( op(e4,e1) != e4
| e3 = e4 ),
inference(resolve,[$cnf( $equal(op(e4,e1),e3) )],[refute_13_34,refute_13_52]) ).
cnf(refute_13_54,plain,
( e3 = e4
| unit = e0
| unit = e2
| unit = e4 ),
inference(resolve,[$cnf( $equal(op(e4,e1),e4) )],[refute_13_51,refute_13_53]) ).
cnf(refute_13_55,plain,
e3 != e4,
inference(canonicalize,[],[normalize_13_17]) ).
cnf(refute_13_56,plain,
( unit = e0
| unit = e2
| unit = e4 ),
inference(resolve,[$cnf( $equal(e3,e4) )],[refute_13_54,refute_13_55]) ).
cnf(refute_13_57,plain,
( op(e4,unit) != e4
| unit != e4
| op(e4,e4) = e4 ),
introduced(tautology,[equality,[$cnf( $equal(op(e4,unit),e4) ),[0,1],$fot(e4)]]) ).
cnf(refute_13_58,plain,
( op(e4,unit) != e4
| op(e4,e4) = e4
| unit = e0
| unit = e2 ),
inference(resolve,[$cnf( $equal(unit,e4) )],[refute_13_56,refute_13_57]) ).
cnf(refute_13_59,plain,
( op(e4,e4) = e4
| unit = e0
| unit = e2 ),
inference(resolve,[$cnf( $equal(op(e4,unit),e4) )],[refute_13_5,refute_13_58]) ).
cnf(refute_13_60,plain,
( op(e4,e4) != e1
| op(e4,e4) != e4
| e1 = e4 ),
introduced(tautology,[equality,[$cnf( $equal(op(e4,e4),e4) ),[0],$fot(e1)]]) ).
cnf(refute_13_61,plain,
( op(e4,e4) != e4
| e1 = e4 ),
inference(resolve,[$cnf( $equal(op(e4,e4),e1) )],[refute_13_17,refute_13_60]) ).
cnf(refute_13_62,plain,
( e1 = e4
| unit = e0
| unit = e2 ),
inference(resolve,[$cnf( $equal(op(e4,e4),e4) )],[refute_13_59,refute_13_61]) ).
cnf(refute_13_63,plain,
e1 != e4,
inference(canonicalize,[],[normalize_13_18]) ).
cnf(refute_13_64,plain,
( unit = e0
| unit = e2 ),
inference(resolve,[$cnf( $equal(e1,e4) )],[refute_13_62,refute_13_63]) ).
cnf(refute_13_65,plain,
( op(unit,e3) != e3
| unit != e2
| op(e2,e3) = e3 ),
introduced(tautology,[equality,[$cnf( $equal(op(unit,e3),e3) ),[0,0],$fot(e2)]]) ).
cnf(refute_13_66,plain,
( op(unit,e3) != e3
| op(e2,e3) = e3
| unit = e0 ),
inference(resolve,[$cnf( $equal(unit,e2) )],[refute_13_64,refute_13_65]) ).
cnf(refute_13_67,plain,
( op(e2,e3) = e3
| unit = e0 ),
inference(resolve,[$cnf( $equal(op(unit,e3),e3) )],[refute_13_4,refute_13_66]) ).
cnf(refute_13_68,plain,
( op(e2,e3) != e3
| op(op(e2,e3),e3) != e2
| op(e3,e3) = e2 ),
introduced(tautology,[equality,[$cnf( $equal(op(op(e2,e3),e3),e2) ),[0,0],$fot(e3)]]) ).
cnf(refute_13_69,plain,
( op(op(e2,e3),e3) != e2
| op(e3,e3) = e2
| unit = e0 ),
inference(resolve,[$cnf( $equal(op(e2,e3),e3) )],[refute_13_67,refute_13_68]) ).
cnf(refute_13_70,plain,
( op(e3,e3) = e2
| unit = e0 ),
inference(resolve,[$cnf( $equal(op(op(e2,e3),e3),e2) )],[refute_13_3,refute_13_69]) ).
cnf(refute_13_71,plain,
op(e3,e3) != op(e3,e4),
inference(canonicalize,[],[normalize_13_20]) ).
cnf(refute_13_72,plain,
( op(e3,e3) != e2
| op(e3,e4) != e2
| op(e3,e3) = op(e3,e4) ),
introduced(tautology,[equality,[$cnf( ~ $equal(op(e3,e3),op(e3,e4)) ),[1],$fot(e2)]]) ).
cnf(refute_13_73,plain,
( op(e3,e3) != e2
| op(e3,e3) = op(e3,e4) ),
inference(resolve,[$cnf( $equal(op(e3,e4),e2) )],[refute_13_43,refute_13_72]) ).
cnf(refute_13_74,plain,
op(e3,e3) != e2,
inference(resolve,[$cnf( $equal(op(e3,e3),op(e3,e4)) )],[refute_13_73,refute_13_71]) ).
cnf(refute_13_75,plain,
unit = e0,
inference(resolve,[$cnf( $equal(op(e3,e3),e2) )],[refute_13_70,refute_13_74]) ).
cnf(refute_13_76,plain,
op(unit,e2) = op(unit,e2),
introduced(tautology,[refl,[$fot(op(unit,e2))]]) ).
cnf(refute_13_77,plain,
( op(unit,e2) != op(unit,e2)
| unit != e0
| op(unit,e2) = op(e0,e2) ),
introduced(tautology,[equality,[$cnf( $equal(op(unit,e2),op(unit,e2)) ),[1,0],$fot(e0)]]) ).
cnf(refute_13_78,plain,
( unit != e0
| op(unit,e2) = op(e0,e2) ),
inference(resolve,[$cnf( $equal(op(unit,e2),op(unit,e2)) )],[refute_13_76,refute_13_77]) ).
cnf(refute_13_79,plain,
op(unit,e2) = op(e0,e2),
inference(resolve,[$cnf( $equal(unit,e0) )],[refute_13_75,refute_13_78]) ).
cnf(refute_13_80,plain,
( op(unit,e2) != e2
| op(unit,e2) != op(e0,e2)
| op(e0,e2) = e2 ),
introduced(tautology,[equality,[$cnf( $equal(op(unit,e2),e2) ),[0],$fot(op(e0,e2))]]) ).
cnf(refute_13_81,plain,
( op(unit,e2) != e2
| op(e0,e2) = e2 ),
inference(resolve,[$cnf( $equal(op(unit,e2),op(e0,e2)) )],[refute_13_79,refute_13_80]) ).
cnf(refute_13_82,plain,
op(e0,e2) = e2,
inference(resolve,[$cnf( $equal(op(unit,e2),e2) )],[refute_13_2,refute_13_81]) ).
cnf(refute_13_83,plain,
( op(e0,e2) != e2
| op(e0,e2) != e4
| e2 = e4 ),
introduced(tautology,[equality,[$cnf( $equal(op(e0,e2),e4) ),[0],$fot(e2)]]) ).
cnf(refute_13_84,plain,
( op(e0,e2) != e4
| e2 = e4 ),
inference(resolve,[$cnf( $equal(op(e0,e2),e2) )],[refute_13_82,refute_13_83]) ).
cnf(refute_13_85,plain,
( e2 = e4
| op(e1,e2) = e4
| op(e2,e2) = e4
| op(e3,e2) = e4
| op(e4,e2) = e4 ),
inference(resolve,[$cnf( $equal(op(e0,e2),e4) )],[refute_13_1,refute_13_84]) ).
cnf(refute_13_86,plain,
( op(e1,e0) = e3
| op(e1,e1) = e3
| op(e1,e2) = e3
| op(e1,e3) = e3
| op(e1,e4) = e3 ),
inference(canonicalize,[],[normalize_13_21]) ).
cnf(refute_13_87,plain,
op(e1,e1) != op(e4,e1),
inference(canonicalize,[],[normalize_13_22]) ).
cnf(refute_13_88,plain,
( op(e1,e1) != e3
| op(e4,e1) != e3
| op(e1,e1) = op(e4,e1) ),
introduced(tautology,[equality,[$cnf( ~ $equal(op(e1,e1),op(e4,e1)) ),[1],$fot(e3)]]) ).
cnf(refute_13_89,plain,
( op(e1,e1) != e3
| op(e1,e1) = op(e4,e1) ),
inference(resolve,[$cnf( $equal(op(e4,e1),e3) )],[refute_13_34,refute_13_88]) ).
cnf(refute_13_90,plain,
op(e1,e1) != e3,
inference(resolve,[$cnf( $equal(op(e1,e1),op(e4,e1)) )],[refute_13_89,refute_13_87]) ).
cnf(refute_13_91,plain,
( op(e1,e0) = e3
| op(e1,e2) = e3
| op(e1,e3) = e3
| op(e1,e4) = e3 ),
inference(resolve,[$cnf( $equal(op(e1,e1),e3) )],[refute_13_86,refute_13_90]) ).
cnf(refute_13_92,plain,
e0 = op(op(e4,e4),e4),
inference(canonicalize,[],[normalize_13_23]) ).
cnf(refute_13_93,plain,
op(op(e4,e4),e4) = op(op(e4,e4),e4),
introduced(tautology,[refl,[$fot(op(op(e4,e4),e4))]]) ).
cnf(refute_13_94,plain,
( op(e4,e4) != e1
| op(op(e4,e4),e4) != op(op(e4,e4),e4)
| op(op(e4,e4),e4) = op(e1,e4) ),
introduced(tautology,[equality,[$cnf( $equal(op(op(e4,e4),e4),op(op(e4,e4),e4)) ),[1,0],$fot(e1)]]) ).
cnf(refute_13_95,plain,
( op(e4,e4) != e1
| op(op(e4,e4),e4) = op(e1,e4) ),
inference(resolve,[$cnf( $equal(op(op(e4,e4),e4),op(op(e4,e4),e4)) )],[refute_13_93,refute_13_94]) ).
cnf(refute_13_96,plain,
op(op(e4,e4),e4) = op(e1,e4),
inference(resolve,[$cnf( $equal(op(e4,e4),e1) )],[refute_13_17,refute_13_95]) ).
cnf(refute_13_97,plain,
( e0 != op(op(e4,e4),e4)
| op(op(e4,e4),e4) != op(e1,e4)
| e0 = op(e1,e4) ),
introduced(tautology,[equality,[$cnf( ~ $equal(e0,op(e1,e4)) ),[0],$fot(op(op(e4,e4),e4))]]) ).
cnf(refute_13_98,plain,
( e0 != op(op(e4,e4),e4)
| e0 = op(e1,e4) ),
inference(resolve,[$cnf( $equal(op(op(e4,e4),e4),op(e1,e4)) )],[refute_13_96,refute_13_97]) ).
cnf(refute_13_99,plain,
e0 = op(e1,e4),
inference(resolve,[$cnf( $equal(e0,op(op(e4,e4),e4)) )],[refute_13_92,refute_13_98]) ).
cnf(refute_13_100,plain,
( e0 != op(e1,e4)
| op(e1,e4) = e0 ),
inference(subst,[],[refute_13_15:[bind(X,$fot(e0)),bind(Y,$fot(op(e1,e4)))]]) ).
cnf(refute_13_101,plain,
op(e1,e4) = e0,
inference(resolve,[$cnf( $equal(e0,op(e1,e4)) )],[refute_13_99,refute_13_100]) ).
cnf(refute_13_102,plain,
( op(e1,e4) != e0
| op(e1,e4) != e3
| e0 = e3 ),
introduced(tautology,[equality,[$cnf( $equal(op(e1,e4),e3) ),[0],$fot(e0)]]) ).
cnf(refute_13_103,plain,
( op(e1,e4) != e3
| e0 = e3 ),
inference(resolve,[$cnf( $equal(op(e1,e4),e0) )],[refute_13_101,refute_13_102]) ).
cnf(refute_13_104,plain,
( e0 = e3
| op(e1,e0) = e3
| op(e1,e2) = e3
| op(e1,e3) = e3 ),
inference(resolve,[$cnf( $equal(op(e1,e4),e3) )],[refute_13_91,refute_13_103]) ).
cnf(refute_13_105,plain,
e0 != e3,
inference(canonicalize,[],[normalize_13_24]) ).
cnf(refute_13_106,plain,
( op(e1,e0) = e3
| op(e1,e2) = e3
| op(e1,e3) = e3 ),
inference(resolve,[$cnf( $equal(e0,e3) )],[refute_13_104,refute_13_105]) ).
cnf(refute_13_107,plain,
op(e1,unit) = e1,
inference(canonicalize,[],[normalize_13_25]) ).
cnf(refute_13_108,plain,
op(e1,unit) = op(e1,unit),
introduced(tautology,[refl,[$fot(op(e1,unit))]]) ).
cnf(refute_13_109,plain,
( op(e1,unit) != op(e1,unit)
| unit != e0
| op(e1,unit) = op(e1,e0) ),
introduced(tautology,[equality,[$cnf( $equal(op(e1,unit),op(e1,unit)) ),[1,1],$fot(e0)]]) ).
cnf(refute_13_110,plain,
( unit != e0
| op(e1,unit) = op(e1,e0) ),
inference(resolve,[$cnf( $equal(op(e1,unit),op(e1,unit)) )],[refute_13_108,refute_13_109]) ).
cnf(refute_13_111,plain,
op(e1,unit) = op(e1,e0),
inference(resolve,[$cnf( $equal(unit,e0) )],[refute_13_75,refute_13_110]) ).
cnf(refute_13_112,plain,
( op(e1,unit) != e1
| op(e1,unit) != op(e1,e0)
| op(e1,e0) = e1 ),
introduced(tautology,[equality,[$cnf( $equal(op(e1,unit),e1) ),[0],$fot(op(e1,e0))]]) ).
cnf(refute_13_113,plain,
( op(e1,unit) != e1
| op(e1,e0) = e1 ),
inference(resolve,[$cnf( $equal(op(e1,unit),op(e1,e0)) )],[refute_13_111,refute_13_112]) ).
cnf(refute_13_114,plain,
op(e1,e0) = e1,
inference(resolve,[$cnf( $equal(op(e1,unit),e1) )],[refute_13_107,refute_13_113]) ).
cnf(refute_13_115,plain,
( op(e1,e0) != e1
| op(e1,e0) != e3
| e1 = e3 ),
introduced(tautology,[equality,[$cnf( $equal(op(e1,e0),e3) ),[0],$fot(e1)]]) ).
cnf(refute_13_116,plain,
( op(e1,e0) != e3
| e1 = e3 ),
inference(resolve,[$cnf( $equal(op(e1,e0),e1) )],[refute_13_114,refute_13_115]) ).
cnf(refute_13_117,plain,
( e1 = e3
| op(e1,e2) = e3
| op(e1,e3) = e3 ),
inference(resolve,[$cnf( $equal(op(e1,e0),e3) )],[refute_13_106,refute_13_116]) ).
cnf(refute_13_118,plain,
op(e4,e1) != op(e4,e4),
inference(canonicalize,[],[normalize_13_26]) ).
cnf(refute_13_119,plain,
( e3 != op(e4,e4)
| op(e4,e1) != e3
| op(e4,e1) = op(e4,e4) ),
introduced(tautology,[equality,[$cnf( $equal(op(e4,e1),e3) ),[1],$fot(op(e4,e4))]]) ).
cnf(refute_13_120,plain,
( e3 != op(e4,e4)
| op(e4,e1) = op(e4,e4) ),
inference(resolve,[$cnf( $equal(op(e4,e1),e3) )],[refute_13_34,refute_13_119]) ).
cnf(refute_13_121,plain,
( e3 != e1
| op(e4,e4) != e1
| e3 = op(e4,e4) ),
introduced(tautology,[equality,[$cnf( ~ $equal(e3,op(e4,e4)) ),[1],$fot(e1)]]) ).
cnf(refute_13_122,plain,
( e3 != e1
| e3 = op(e4,e4) ),
inference(resolve,[$cnf( $equal(op(e4,e4),e1) )],[refute_13_17,refute_13_121]) ).
cnf(refute_13_123,plain,
( e3 != e1
| op(e4,e1) = op(e4,e4) ),
inference(resolve,[$cnf( $equal(e3,op(e4,e4)) )],[refute_13_122,refute_13_120]) ).
cnf(refute_13_124,plain,
e3 != e1,
inference(resolve,[$cnf( $equal(op(e4,e1),op(e4,e4)) )],[refute_13_123,refute_13_118]) ).
cnf(refute_13_125,plain,
( e1 != e3
| e3 = e1 ),
inference(subst,[],[refute_13_15:[bind(X,$fot(e1)),bind(Y,$fot(e3))]]) ).
cnf(refute_13_126,plain,
e1 != e3,
inference(resolve,[$cnf( $equal(e3,e1) )],[refute_13_125,refute_13_124]) ).
cnf(refute_13_127,plain,
( op(e1,e2) = e3
| op(e1,e3) = e3 ),
inference(resolve,[$cnf( $equal(e1,e3) )],[refute_13_117,refute_13_126]) ).
cnf(refute_13_128,plain,
op(e0,e3) != op(e1,e3),
inference(canonicalize,[],[normalize_13_27]) ).
cnf(refute_13_129,plain,
op(unit,e3) = op(unit,e3),
introduced(tautology,[refl,[$fot(op(unit,e3))]]) ).
cnf(refute_13_130,plain,
( op(unit,e3) != op(unit,e3)
| unit != e0
| op(unit,e3) = op(e0,e3) ),
introduced(tautology,[equality,[$cnf( $equal(op(unit,e3),op(unit,e3)) ),[1,0],$fot(e0)]]) ).
cnf(refute_13_131,plain,
( unit != e0
| op(unit,e3) = op(e0,e3) ),
inference(resolve,[$cnf( $equal(op(unit,e3),op(unit,e3)) )],[refute_13_129,refute_13_130]) ).
cnf(refute_13_132,plain,
op(unit,e3) = op(e0,e3),
inference(resolve,[$cnf( $equal(unit,e0) )],[refute_13_75,refute_13_131]) ).
cnf(refute_13_133,plain,
( op(unit,e3) != e3
| op(unit,e3) != op(e0,e3)
| op(e0,e3) = e3 ),
introduced(tautology,[equality,[$cnf( $equal(op(unit,e3),e3) ),[0],$fot(op(e0,e3))]]) ).
cnf(refute_13_134,plain,
( op(unit,e3) != e3
| op(e0,e3) = e3 ),
inference(resolve,[$cnf( $equal(op(unit,e3),op(e0,e3)) )],[refute_13_132,refute_13_133]) ).
cnf(refute_13_135,plain,
op(e0,e3) = e3,
inference(resolve,[$cnf( $equal(op(unit,e3),e3) )],[refute_13_4,refute_13_134]) ).
cnf(refute_13_136,plain,
( e3 != op(e1,e3)
| op(e0,e3) != e3
| op(e0,e3) = op(e1,e3) ),
introduced(tautology,[equality,[$cnf( $equal(op(e0,e3),e3) ),[1],$fot(op(e1,e3))]]) ).
cnf(refute_13_137,plain,
( e3 != op(e1,e3)
| op(e0,e3) = op(e1,e3) ),
inference(resolve,[$cnf( $equal(op(e0,e3),e3) )],[refute_13_135,refute_13_136]) ).
cnf(refute_13_138,plain,
e3 != op(e1,e3),
inference(resolve,[$cnf( $equal(op(e0,e3),op(e1,e3)) )],[refute_13_137,refute_13_128]) ).
cnf(refute_13_139,plain,
( op(e1,e3) != e3
| e3 = op(e1,e3) ),
inference(subst,[],[refute_13_15:[bind(X,$fot(op(e1,e3))),bind(Y,$fot(e3))]]) ).
cnf(refute_13_140,plain,
op(e1,e3) != e3,
inference(resolve,[$cnf( $equal(e3,op(e1,e3)) )],[refute_13_139,refute_13_138]) ).
cnf(refute_13_141,plain,
op(e1,e2) = e3,
inference(resolve,[$cnf( $equal(op(e1,e3),e3) )],[refute_13_127,refute_13_140]) ).
cnf(refute_13_142,plain,
( op(e1,e2) != e3
| op(e1,e2) != e4
| e3 = e4 ),
introduced(tautology,[equality,[$cnf( $equal(op(e1,e2),e4) ),[0],$fot(e3)]]) ).
cnf(refute_13_143,plain,
( op(e1,e2) != e4
| e3 = e4 ),
inference(resolve,[$cnf( $equal(op(e1,e2),e3) )],[refute_13_141,refute_13_142]) ).
cnf(refute_13_144,plain,
( e2 = e4
| e3 = e4
| op(e2,e2) = e4
| op(e3,e2) = e4
| op(e4,e2) = e4 ),
inference(resolve,[$cnf( $equal(op(e1,e2),e4) )],[refute_13_85,refute_13_143]) ).
cnf(refute_13_145,plain,
( op(e2,e0) = e1
| op(e2,e1) = e1
| op(e2,e2) = e1
| op(e2,e3) = e1
| op(e2,e4) = e1 ),
inference(canonicalize,[],[normalize_13_28]) ).
cnf(refute_13_146,plain,
op(e2,e4) != op(e4,e4),
inference(canonicalize,[],[normalize_13_29]) ).
cnf(refute_13_147,plain,
( op(e2,e4) != e1
| op(e4,e4) != e1
| op(e2,e4) = op(e4,e4) ),
introduced(tautology,[equality,[$cnf( ~ $equal(op(e2,e4),op(e4,e4)) ),[1],$fot(e1)]]) ).
cnf(refute_13_148,plain,
( op(e2,e4) != e1
| op(e2,e4) = op(e4,e4) ),
inference(resolve,[$cnf( $equal(op(e4,e4),e1) )],[refute_13_17,refute_13_147]) ).
cnf(refute_13_149,plain,
op(e2,e4) != e1,
inference(resolve,[$cnf( $equal(op(e2,e4),op(e4,e4)) )],[refute_13_148,refute_13_146]) ).
cnf(refute_13_150,plain,
( op(e2,e0) = e1
| op(e2,e1) = e1
| op(e2,e2) = e1
| op(e2,e3) = e1 ),
inference(resolve,[$cnf( $equal(op(e2,e4),e1) )],[refute_13_145,refute_13_149]) ).
cnf(refute_13_151,plain,
( op(e2,e3) != e1
| op(op(e2,e3),e3) != e2
| op(e1,e3) = e2 ),
introduced(tautology,[equality,[$cnf( $equal(op(op(e2,e3),e3),e2) ),[0,0],$fot(e1)]]) ).
cnf(refute_13_152,plain,
( op(op(e2,e3),e3) != e2
| op(e1,e3) = e2
| op(e2,e0) = e1
| op(e2,e1) = e1
| op(e2,e2) = e1 ),
inference(resolve,[$cnf( $equal(op(e2,e3),e1) )],[refute_13_150,refute_13_151]) ).
cnf(refute_13_153,plain,
( op(e1,e3) = e2
| op(e2,e0) = e1
| op(e2,e1) = e1
| op(e2,e2) = e1 ),
inference(resolve,[$cnf( $equal(op(op(e2,e3),e3),e2) )],[refute_13_3,refute_13_152]) ).
cnf(refute_13_154,plain,
op(e2,unit) = e2,
inference(canonicalize,[],[normalize_13_30]) ).
cnf(refute_13_155,plain,
op(e2,unit) = op(e2,unit),
introduced(tautology,[refl,[$fot(op(e2,unit))]]) ).
cnf(refute_13_156,plain,
( op(e2,unit) != op(e2,unit)
| unit != e0
| op(e2,unit) = op(e2,e0) ),
introduced(tautology,[equality,[$cnf( $equal(op(e2,unit),op(e2,unit)) ),[1,1],$fot(e0)]]) ).
cnf(refute_13_157,plain,
( unit != e0
| op(e2,unit) = op(e2,e0) ),
inference(resolve,[$cnf( $equal(op(e2,unit),op(e2,unit)) )],[refute_13_155,refute_13_156]) ).
cnf(refute_13_158,plain,
op(e2,unit) = op(e2,e0),
inference(resolve,[$cnf( $equal(unit,e0) )],[refute_13_75,refute_13_157]) ).
cnf(refute_13_159,plain,
( op(e2,unit) != e2
| op(e2,unit) != op(e2,e0)
| op(e2,e0) = e2 ),
introduced(tautology,[equality,[$cnf( $equal(op(e2,unit),e2) ),[0],$fot(op(e2,e0))]]) ).
cnf(refute_13_160,plain,
( op(e2,unit) != e2
| op(e2,e0) = e2 ),
inference(resolve,[$cnf( $equal(op(e2,unit),op(e2,e0)) )],[refute_13_158,refute_13_159]) ).
cnf(refute_13_161,plain,
op(e2,e0) = e2,
inference(resolve,[$cnf( $equal(op(e2,unit),e2) )],[refute_13_154,refute_13_160]) ).
cnf(refute_13_162,plain,
( op(e2,e0) != e1
| op(e2,e0) != e2
| e2 = e1 ),
introduced(tautology,[equality,[$cnf( $equal(op(e2,e0),e1) ),[0],$fot(e2)]]) ).
cnf(refute_13_163,plain,
( op(e2,e0) != e1
| e2 = e1 ),
inference(resolve,[$cnf( $equal(op(e2,e0),e2) )],[refute_13_161,refute_13_162]) ).
cnf(refute_13_164,plain,
( e2 = e1
| op(e1,e3) = e2
| op(e2,e1) = e1
| op(e2,e2) = e1 ),
inference(resolve,[$cnf( $equal(op(e2,e0),e1) )],[refute_13_153,refute_13_163]) ).
cnf(refute_13_165,plain,
e1 != e2,
inference(canonicalize,[],[normalize_13_31]) ).
cnf(refute_13_166,plain,
( e2 != e1
| e1 = e2 ),
inference(subst,[],[refute_13_15:[bind(X,$fot(e2)),bind(Y,$fot(e1))]]) ).
cnf(refute_13_167,plain,
e2 != e1,
inference(resolve,[$cnf( $equal(e1,e2) )],[refute_13_166,refute_13_165]) ).
cnf(refute_13_168,plain,
( op(e1,e3) = e2
| op(e2,e1) = e1
| op(e2,e2) = e1 ),
inference(resolve,[$cnf( $equal(e2,e1) )],[refute_13_164,refute_13_167]) ).
cnf(refute_13_169,plain,
op(e1,e3) != op(e4,e3),
inference(canonicalize,[],[normalize_13_32]) ).
cnf(refute_13_170,plain,
( op(e4,e0) = e2
| op(e4,e1) = e2
| op(e4,e2) = e2
| op(e4,e3) = e2
| op(e4,e4) = e2 ),
inference(canonicalize,[],[normalize_13_33]) ).
cnf(refute_13_171,plain,
( op(e4,e1) != e2
| op(e4,e1) != e3
| e3 = e2 ),
introduced(tautology,[equality,[$cnf( $equal(op(e4,e1),e2) ),[0],$fot(e3)]]) ).
cnf(refute_13_172,plain,
( op(e4,e1) != e2
| e3 = e2 ),
inference(resolve,[$cnf( $equal(op(e4,e1),e3) )],[refute_13_34,refute_13_171]) ).
cnf(refute_13_173,plain,
( e3 = e2
| op(e4,e0) = e2
| op(e4,e2) = e2
| op(e4,e3) = e2
| op(e4,e4) = e2 ),
inference(resolve,[$cnf( $equal(op(e4,e1),e2) )],[refute_13_170,refute_13_172]) ).
cnf(refute_13_174,plain,
( op(e4,e4) != e1
| op(e4,e4) != e2
| e1 = e2 ),
introduced(tautology,[equality,[$cnf( $equal(op(e4,e4),e2) ),[0],$fot(e1)]]) ).
cnf(refute_13_175,plain,
( op(e4,e4) != e2
| e1 = e2 ),
inference(resolve,[$cnf( $equal(op(e4,e4),e1) )],[refute_13_17,refute_13_174]) ).
cnf(refute_13_176,plain,
( e1 = e2
| e3 = e2
| op(e4,e0) = e2
| op(e4,e2) = e2
| op(e4,e3) = e2 ),
inference(resolve,[$cnf( $equal(op(e4,e4),e2) )],[refute_13_173,refute_13_175]) ).
cnf(refute_13_177,plain,
( e3 = e2
| op(e4,e0) = e2
| op(e4,e2) = e2
| op(e4,e3) = e2 ),
inference(resolve,[$cnf( $equal(e1,e2) )],[refute_13_176,refute_13_165]) ).
cnf(refute_13_178,plain,
e2 != e3,
inference(canonicalize,[],[normalize_13_34]) ).
cnf(refute_13_179,plain,
( e3 != e2
| e2 = e3 ),
inference(subst,[],[refute_13_15:[bind(X,$fot(e3)),bind(Y,$fot(e2))]]) ).
cnf(refute_13_180,plain,
e3 != e2,
inference(resolve,[$cnf( $equal(e2,e3) )],[refute_13_179,refute_13_178]) ).
cnf(refute_13_181,plain,
( op(e4,e0) = e2
| op(e4,e2) = e2
| op(e4,e3) = e2 ),
inference(resolve,[$cnf( $equal(e3,e2) )],[refute_13_177,refute_13_180]) ).
cnf(refute_13_182,plain,
( op(e1,e3) != e2
| op(e4,e3) != e2
| op(e1,e3) = op(e4,e3) ),
introduced(tautology,[equality,[$cnf( ~ $equal(op(e1,e3),op(e4,e3)) ),[1],$fot(e2)]]) ).
cnf(refute_13_183,plain,
( op(e1,e3) != e2
| op(e1,e3) = op(e4,e3)
| op(e4,e0) = e2
| op(e4,e2) = e2 ),
inference(resolve,[$cnf( $equal(op(e4,e3),e2) )],[refute_13_181,refute_13_182]) ).
cnf(refute_13_184,plain,
( op(e1,e3) != e2
| op(e4,e0) = e2
| op(e4,e2) = e2 ),
inference(resolve,[$cnf( $equal(op(e1,e3),op(e4,e3)) )],[refute_13_183,refute_13_169]) ).
cnf(refute_13_185,plain,
op(e4,unit) = op(e4,unit),
introduced(tautology,[refl,[$fot(op(e4,unit))]]) ).
cnf(refute_13_186,plain,
( op(e4,unit) != op(e4,unit)
| unit != e0
| op(e4,unit) = op(e4,e0) ),
introduced(tautology,[equality,[$cnf( $equal(op(e4,unit),op(e4,unit)) ),[1,1],$fot(e0)]]) ).
cnf(refute_13_187,plain,
( unit != e0
| op(e4,unit) = op(e4,e0) ),
inference(resolve,[$cnf( $equal(op(e4,unit),op(e4,unit)) )],[refute_13_185,refute_13_186]) ).
cnf(refute_13_188,plain,
op(e4,unit) = op(e4,e0),
inference(resolve,[$cnf( $equal(unit,e0) )],[refute_13_75,refute_13_187]) ).
cnf(refute_13_189,plain,
( op(e4,unit) != e4
| op(e4,unit) != op(e4,e0)
| op(e4,e0) = e4 ),
introduced(tautology,[equality,[$cnf( $equal(op(e4,unit),e4) ),[0],$fot(op(e4,e0))]]) ).
cnf(refute_13_190,plain,
( op(e4,unit) != e4
| op(e4,e0) = e4 ),
inference(resolve,[$cnf( $equal(op(e4,unit),op(e4,e0)) )],[refute_13_188,refute_13_189]) ).
cnf(refute_13_191,plain,
op(e4,e0) = e4,
inference(resolve,[$cnf( $equal(op(e4,unit),e4) )],[refute_13_5,refute_13_190]) ).
cnf(refute_13_192,plain,
( op(e4,e0) != e2
| op(e4,e0) != e4
| e4 = e2 ),
introduced(tautology,[equality,[$cnf( $equal(op(e4,e0),e2) ),[0],$fot(e4)]]) ).
cnf(refute_13_193,plain,
( op(e4,e0) != e2
| e4 = e2 ),
inference(resolve,[$cnf( $equal(op(e4,e0),e4) )],[refute_13_191,refute_13_192]) ).
cnf(refute_13_194,plain,
( op(e1,e3) != e2
| e4 = e2
| op(e4,e2) = e2 ),
inference(resolve,[$cnf( $equal(op(e4,e0),e2) )],[refute_13_184,refute_13_193]) ).
cnf(refute_13_195,plain,
op(e0,e2) != op(e4,e2),
inference(canonicalize,[],[normalize_13_35]) ).
cnf(refute_13_196,plain,
( op(e4,e2) = e0
| op(e4,e2) = e1
| op(e4,e2) = e2
| op(e4,e2) = e3
| op(e4,e2) = e4 ),
inference(canonicalize,[],[normalize_13_37]) ).
cnf(refute_13_197,plain,
op(e4,e2) != op(e4,e4),
inference(canonicalize,[],[normalize_13_38]) ).
cnf(refute_13_198,plain,
( op(e4,e2) != e1
| op(e4,e4) != e1
| op(e4,e2) = op(e4,e4) ),
introduced(tautology,[equality,[$cnf( ~ $equal(op(e4,e2),op(e4,e4)) ),[1],$fot(e1)]]) ).
cnf(refute_13_199,plain,
( op(e4,e2) != e1
| op(e4,e2) = op(e4,e4) ),
inference(resolve,[$cnf( $equal(op(e4,e4),e1) )],[refute_13_17,refute_13_198]) ).
cnf(refute_13_200,plain,
op(e4,e2) != e1,
inference(resolve,[$cnf( $equal(op(e4,e2),op(e4,e4)) )],[refute_13_199,refute_13_197]) ).
cnf(refute_13_201,plain,
( op(e4,e2) = e0
| op(e4,e2) = e2
| op(e4,e2) = e3
| op(e4,e2) = e4 ),
inference(resolve,[$cnf( $equal(op(e4,e2),e1) )],[refute_13_196,refute_13_200]) ).
cnf(refute_13_202,plain,
op(e4,e1) != op(e4,e2),
inference(canonicalize,[],[normalize_13_39]) ).
cnf(refute_13_203,plain,
( e3 != op(e4,e2)
| op(e4,e1) != e3
| op(e4,e1) = op(e4,e2) ),
introduced(tautology,[equality,[$cnf( $equal(op(e4,e1),e3) ),[1],$fot(op(e4,e2))]]) ).
cnf(refute_13_204,plain,
( e3 != op(e4,e2)
| op(e4,e1) = op(e4,e2) ),
inference(resolve,[$cnf( $equal(op(e4,e1),e3) )],[refute_13_34,refute_13_203]) ).
cnf(refute_13_205,plain,
e3 != op(e4,e2),
inference(resolve,[$cnf( $equal(op(e4,e1),op(e4,e2)) )],[refute_13_204,refute_13_202]) ).
cnf(refute_13_206,plain,
( op(e4,e2) != e3
| e3 = op(e4,e2) ),
inference(subst,[],[refute_13_15:[bind(X,$fot(op(e4,e2))),bind(Y,$fot(e3))]]) ).
cnf(refute_13_207,plain,
op(e4,e2) != e3,
inference(resolve,[$cnf( $equal(e3,op(e4,e2)) )],[refute_13_206,refute_13_205]) ).
cnf(refute_13_208,plain,
( op(e4,e2) = e0
| op(e4,e2) = e2
| op(e4,e2) = e4 ),
inference(resolve,[$cnf( $equal(op(e4,e2),e3) )],[refute_13_201,refute_13_207]) ).
cnf(refute_13_209,plain,
( op(e0,e2) != e2
| op(e4,e2) != e2
| op(e0,e2) = op(e4,e2) ),
introduced(tautology,[equality,[$cnf( ~ $equal(op(e0,e2),op(e4,e2)) ),[1],$fot(e2)]]) ).
cnf(refute_13_210,plain,
( op(e0,e2) != e2
| op(e0,e2) = op(e4,e2)
| op(e4,e2) = e0
| op(e4,e2) = e4 ),
inference(resolve,[$cnf( $equal(op(e4,e2),e2) )],[refute_13_208,refute_13_209]) ).
cnf(refute_13_211,plain,
( op(e0,e2) != e2
| op(e4,e2) = e0
| op(e4,e2) = e4 ),
inference(resolve,[$cnf( $equal(op(e0,e2),op(e4,e2)) )],[refute_13_210,refute_13_195]) ).
cnf(refute_13_212,plain,
( e2 != e2
| op(e0,e2) != e2
| op(e0,e2) = e2 ),
introduced(tautology,[equality,[$cnf( $equal(op(e0,e2),e2) ),[0,1],$fot(e2)]]) ).
cnf(refute_13_213,plain,
( e2 != e2
| op(e0,e2) = e2 ),
inference(resolve,[$cnf( $equal(op(e0,e2),e2) )],[refute_13_82,refute_13_212]) ).
cnf(refute_13_214,plain,
( e2 != e2
| op(e4,e2) = e0
| op(e4,e2) = e4 ),
inference(resolve,[$cnf( $equal(op(e0,e2),e2) )],[refute_13_213,refute_13_211]) ).
cnf(refute_13_215,plain,
e2 = e2,
introduced(tautology,[refl,[$fot(e2)]]) ).
cnf(refute_13_216,plain,
( op(e4,e2) = e0
| op(e4,e2) = e4 ),
inference(resolve,[$cnf( $equal(e2,e2) )],[refute_13_215,refute_13_214]) ).
cnf(refute_13_217,plain,
op(e4,e0) != op(e4,e2),
inference(canonicalize,[],[normalize_13_40]) ).
cnf(refute_13_218,plain,
( e4 != op(e4,e2)
| op(e4,e0) != e4
| op(e4,e0) = op(e4,e2) ),
introduced(tautology,[equality,[$cnf( $equal(op(e4,e0),e4) ),[1],$fot(op(e4,e2))]]) ).
cnf(refute_13_219,plain,
( e4 != op(e4,e2)
| op(e4,e0) = op(e4,e2) ),
inference(resolve,[$cnf( $equal(op(e4,e0),e4) )],[refute_13_191,refute_13_218]) ).
cnf(refute_13_220,plain,
e4 != op(e4,e2),
inference(resolve,[$cnf( $equal(op(e4,e0),op(e4,e2)) )],[refute_13_219,refute_13_217]) ).
cnf(refute_13_221,plain,
( op(e4,e2) != e4
| e4 = op(e4,e2) ),
inference(subst,[],[refute_13_15:[bind(X,$fot(op(e4,e2))),bind(Y,$fot(e4))]]) ).
cnf(refute_13_222,plain,
op(e4,e2) != e4,
inference(resolve,[$cnf( $equal(e4,op(e4,e2)) )],[refute_13_221,refute_13_220]) ).
cnf(refute_13_223,plain,
op(e4,e2) = e0,
inference(resolve,[$cnf( $equal(op(e4,e2),e4) )],[refute_13_216,refute_13_222]) ).
cnf(refute_13_224,plain,
( op(e4,e2) != e0
| op(e4,e2) != e2
| e0 = e2 ),
introduced(tautology,[equality,[$cnf( $equal(op(e4,e2),e2) ),[0],$fot(e0)]]) ).
cnf(refute_13_225,plain,
( op(e4,e2) != e2
| e0 = e2 ),
inference(resolve,[$cnf( $equal(op(e4,e2),e0) )],[refute_13_223,refute_13_224]) ).
cnf(refute_13_226,plain,
( op(e1,e3) != e2
| e0 = e2
| e4 = e2 ),
inference(resolve,[$cnf( $equal(op(e4,e2),e2) )],[refute_13_194,refute_13_225]) ).
cnf(refute_13_227,plain,
e0 != e2,
inference(canonicalize,[],[normalize_13_41]) ).
cnf(refute_13_228,plain,
( op(e1,e3) != e2
| e4 = e2 ),
inference(resolve,[$cnf( $equal(e0,e2) )],[refute_13_226,refute_13_227]) ).
cnf(refute_13_229,plain,
( e4 != e2
| e2 = e4 ),
inference(subst,[],[refute_13_15:[bind(X,$fot(e4)),bind(Y,$fot(e2))]]) ).
cnf(refute_13_230,plain,
e4 != e2,
inference(resolve,[$cnf( $equal(e2,e4) )],[refute_13_229,refute_13_47]) ).
cnf(refute_13_231,plain,
op(e1,e3) != e2,
inference(resolve,[$cnf( $equal(e4,e2) )],[refute_13_228,refute_13_230]) ).
cnf(refute_13_232,plain,
( op(e2,e1) = e1
| op(e2,e2) = e1 ),
inference(resolve,[$cnf( $equal(op(e1,e3),e2) )],[refute_13_168,refute_13_231]) ).
cnf(refute_13_233,plain,
op(e0,e1) != op(e2,e1),
inference(canonicalize,[],[normalize_13_42]) ).
cnf(refute_13_234,plain,
op(unit,e1) = e1,
inference(canonicalize,[],[normalize_13_43]) ).
cnf(refute_13_235,plain,
op(unit,e1) = op(unit,e1),
introduced(tautology,[refl,[$fot(op(unit,e1))]]) ).
cnf(refute_13_236,plain,
( op(unit,e1) != op(unit,e1)
| unit != e0
| op(unit,e1) = op(e0,e1) ),
introduced(tautology,[equality,[$cnf( $equal(op(unit,e1),op(unit,e1)) ),[1,0],$fot(e0)]]) ).
cnf(refute_13_237,plain,
( unit != e0
| op(unit,e1) = op(e0,e1) ),
inference(resolve,[$cnf( $equal(op(unit,e1),op(unit,e1)) )],[refute_13_235,refute_13_236]) ).
cnf(refute_13_238,plain,
op(unit,e1) = op(e0,e1),
inference(resolve,[$cnf( $equal(unit,e0) )],[refute_13_75,refute_13_237]) ).
cnf(refute_13_239,plain,
( op(unit,e1) != e1
| op(unit,e1) != op(e0,e1)
| op(e0,e1) = e1 ),
introduced(tautology,[equality,[$cnf( $equal(op(unit,e1),e1) ),[0],$fot(op(e0,e1))]]) ).
cnf(refute_13_240,plain,
( op(unit,e1) != e1
| op(e0,e1) = e1 ),
inference(resolve,[$cnf( $equal(op(unit,e1),op(e0,e1)) )],[refute_13_238,refute_13_239]) ).
cnf(refute_13_241,plain,
op(e0,e1) = e1,
inference(resolve,[$cnf( $equal(op(unit,e1),e1) )],[refute_13_234,refute_13_240]) ).
cnf(refute_13_242,plain,
( e1 != op(e2,e1)
| op(e0,e1) != e1
| op(e0,e1) = op(e2,e1) ),
introduced(tautology,[equality,[$cnf( $equal(op(e0,e1),e1) ),[1],$fot(op(e2,e1))]]) ).
cnf(refute_13_243,plain,
( e1 != op(e2,e1)
| op(e0,e1) = op(e2,e1) ),
inference(resolve,[$cnf( $equal(op(e0,e1),e1) )],[refute_13_241,refute_13_242]) ).
cnf(refute_13_244,plain,
e1 != op(e2,e1),
inference(resolve,[$cnf( $equal(op(e0,e1),op(e2,e1)) )],[refute_13_243,refute_13_233]) ).
cnf(refute_13_245,plain,
( op(e2,e1) != e1
| e1 = op(e2,e1) ),
inference(subst,[],[refute_13_15:[bind(X,$fot(op(e2,e1))),bind(Y,$fot(e1))]]) ).
cnf(refute_13_246,plain,
op(e2,e1) != e1,
inference(resolve,[$cnf( $equal(e1,op(e2,e1)) )],[refute_13_245,refute_13_244]) ).
cnf(refute_13_247,plain,
op(e2,e2) = e1,
inference(resolve,[$cnf( $equal(op(e2,e1),e1) )],[refute_13_232,refute_13_246]) ).
cnf(refute_13_248,plain,
( op(e2,e2) != e1
| op(e2,e2) != e4
| e1 = e4 ),
introduced(tautology,[equality,[$cnf( $equal(op(e2,e2),e4) ),[0],$fot(e1)]]) ).
cnf(refute_13_249,plain,
( op(e2,e2) != e4
| e1 = e4 ),
inference(resolve,[$cnf( $equal(op(e2,e2),e1) )],[refute_13_247,refute_13_248]) ).
cnf(refute_13_250,plain,
( e1 = e4
| e2 = e4
| e3 = e4
| op(e3,e2) = e4
| op(e4,e2) = e4 ),
inference(resolve,[$cnf( $equal(op(e2,e2),e4) )],[refute_13_144,refute_13_249]) ).
cnf(refute_13_251,plain,
( op(e4,e2) != e0
| op(e4,e2) != e4
| e0 = e4 ),
introduced(tautology,[equality,[$cnf( $equal(op(e4,e2),e4) ),[0],$fot(e0)]]) ).
cnf(refute_13_252,plain,
( op(e4,e2) != e4
| e0 = e4 ),
inference(resolve,[$cnf( $equal(op(e4,e2),e0) )],[refute_13_223,refute_13_251]) ).
cnf(refute_13_253,plain,
( e0 = e4
| e1 = e4
| e2 = e4
| e3 = e4
| op(e3,e2) = e4 ),
inference(resolve,[$cnf( $equal(op(e4,e2),e4) )],[refute_13_250,refute_13_252]) ).
cnf(refute_13_254,plain,
e0 != e4,
inference(canonicalize,[],[normalize_13_44]) ).
cnf(refute_13_255,plain,
( e1 = e4
| e2 = e4
| e3 = e4
| op(e3,e2) = e4 ),
inference(resolve,[$cnf( $equal(e0,e4) )],[refute_13_253,refute_13_254]) ).
cnf(refute_13_256,plain,
( e2 = e4
| e3 = e4
| op(e3,e2) = e4 ),
inference(resolve,[$cnf( $equal(e1,e4) )],[refute_13_255,refute_13_63]) ).
cnf(refute_13_257,plain,
( e3 = e4
| op(e3,e2) = e4 ),
inference(resolve,[$cnf( $equal(e2,e4) )],[refute_13_256,refute_13_47]) ).
cnf(refute_13_258,plain,
op(e3,e2) = e4,
inference(resolve,[$cnf( $equal(e3,e4) )],[refute_13_257,refute_13_55]) ).
cnf(refute_13_259,plain,
( e4 != op(e2,e3)
| op(e3,e2) != e4
| op(e3,e2) = op(e2,e3) ),
introduced(tautology,[equality,[$cnf( $equal(op(e3,e2),e4) ),[1],$fot(op(e2,e3))]]) ).
cnf(refute_13_260,plain,
( e4 != op(e2,e3)
| op(e3,e2) = op(e2,e3) ),
inference(resolve,[$cnf( $equal(op(e3,e2),e4) )],[refute_13_258,refute_13_259]) ).
cnf(refute_13_261,plain,
( op(e2,e0) = e4
| op(e2,e1) = e4
| op(e2,e2) = e4
| op(e2,e3) = e4
| op(e2,e4) = e4 ),
inference(canonicalize,[],[normalize_13_45]) ).
cnf(refute_13_262,plain,
( op(e2,e0) != e2
| op(e2,e0) != e4
| e2 = e4 ),
introduced(tautology,[equality,[$cnf( $equal(op(e2,e0),e4) ),[0],$fot(e2)]]) ).
cnf(refute_13_263,plain,
( op(e2,e0) != e4
| e2 = e4 ),
inference(resolve,[$cnf( $equal(op(e2,e0),e2) )],[refute_13_161,refute_13_262]) ).
cnf(refute_13_264,plain,
( e2 = e4
| op(e2,e1) = e4
| op(e2,e2) = e4
| op(e2,e3) = e4
| op(e2,e4) = e4 ),
inference(resolve,[$cnf( $equal(op(e2,e0),e4) )],[refute_13_261,refute_13_263]) ).
cnf(refute_13_265,plain,
( op(e2,e0) = e0
| op(e2,e1) = e0
| op(e2,e2) = e0
| op(e2,e3) = e0
| op(e2,e4) = e0 ),
inference(canonicalize,[],[normalize_13_46]) ).
cnf(refute_13_266,plain,
op(e1,e4) != op(e2,e4),
inference(canonicalize,[],[normalize_13_47]) ).
cnf(refute_13_267,plain,
( e0 != op(e2,e4)
| op(e1,e4) != e0
| op(e1,e4) = op(e2,e4) ),
introduced(tautology,[equality,[$cnf( $equal(op(e1,e4),e0) ),[1],$fot(op(e2,e4))]]) ).
cnf(refute_13_268,plain,
( e0 != op(e2,e4)
| op(e1,e4) = op(e2,e4) ),
inference(resolve,[$cnf( $equal(op(e1,e4),e0) )],[refute_13_101,refute_13_267]) ).
cnf(refute_13_269,plain,
e0 != op(e2,e4),
inference(resolve,[$cnf( $equal(op(e1,e4),op(e2,e4)) )],[refute_13_268,refute_13_266]) ).
cnf(refute_13_270,plain,
( op(e2,e4) != e0
| e0 = op(e2,e4) ),
inference(subst,[],[refute_13_15:[bind(X,$fot(op(e2,e4))),bind(Y,$fot(e0))]]) ).
cnf(refute_13_271,plain,
op(e2,e4) != e0,
inference(resolve,[$cnf( $equal(e0,op(e2,e4)) )],[refute_13_270,refute_13_269]) ).
cnf(refute_13_272,plain,
( op(e2,e0) = e0
| op(e2,e1) = e0
| op(e2,e2) = e0
| op(e2,e3) = e0 ),
inference(resolve,[$cnf( $equal(op(e2,e4),e0) )],[refute_13_265,refute_13_271]) ).
cnf(refute_13_273,plain,
( op(e2,e3) != e0
| op(op(e2,e3),e3) != e2
| op(e0,e3) = e2 ),
introduced(tautology,[equality,[$cnf( $equal(op(op(e2,e3),e3),e2) ),[0,0],$fot(e0)]]) ).
cnf(refute_13_274,plain,
( op(op(e2,e3),e3) != e2
| op(e0,e3) = e2
| op(e2,e0) = e0
| op(e2,e1) = e0
| op(e2,e2) = e0 ),
inference(resolve,[$cnf( $equal(op(e2,e3),e0) )],[refute_13_272,refute_13_273]) ).
cnf(refute_13_275,plain,
( op(e0,e3) = e2
| op(e2,e0) = e0
| op(e2,e1) = e0
| op(e2,e2) = e0 ),
inference(resolve,[$cnf( $equal(op(op(e2,e3),e3),e2) )],[refute_13_3,refute_13_274]) ).
cnf(refute_13_276,plain,
( op(e0,e3) != e2
| op(e0,e3) != e3
| e3 = e2 ),
introduced(tautology,[equality,[$cnf( $equal(op(e0,e3),e2) ),[0],$fot(e3)]]) ).
cnf(refute_13_277,plain,
( op(e0,e3) != e2
| e3 = e2 ),
inference(resolve,[$cnf( $equal(op(e0,e3),e3) )],[refute_13_135,refute_13_276]) ).
cnf(refute_13_278,plain,
( e3 = e2
| op(e2,e0) = e0
| op(e2,e1) = e0
| op(e2,e2) = e0 ),
inference(resolve,[$cnf( $equal(op(e0,e3),e2) )],[refute_13_275,refute_13_277]) ).
cnf(refute_13_279,plain,
( op(e2,e0) != e0
| op(e2,e0) != e2
| e2 = e0 ),
introduced(tautology,[equality,[$cnf( $equal(op(e2,e0),e0) ),[0],$fot(e2)]]) ).
cnf(refute_13_280,plain,
( op(e2,e0) != e0
| e2 = e0 ),
inference(resolve,[$cnf( $equal(op(e2,e0),e2) )],[refute_13_161,refute_13_279]) ).
cnf(refute_13_281,plain,
( e2 = e0
| e3 = e2
| op(e2,e1) = e0
| op(e2,e2) = e0 ),
inference(resolve,[$cnf( $equal(op(e2,e0),e0) )],[refute_13_278,refute_13_280]) ).
cnf(refute_13_282,plain,
( op(e2,e2) != e0
| op(e2,e2) != e1
| e1 = e0 ),
introduced(tautology,[equality,[$cnf( $equal(op(e2,e2),e0) ),[0],$fot(e1)]]) ).
cnf(refute_13_283,plain,
( op(e2,e2) != e0
| e1 = e0 ),
inference(resolve,[$cnf( $equal(op(e2,e2),e1) )],[refute_13_247,refute_13_282]) ).
cnf(refute_13_284,plain,
( e1 = e0
| e2 = e0
| e3 = e2
| op(e2,e1) = e0 ),
inference(resolve,[$cnf( $equal(op(e2,e2),e0) )],[refute_13_281,refute_13_283]) ).
cnf(refute_13_285,plain,
e0 != e1,
inference(canonicalize,[],[normalize_13_48]) ).
cnf(refute_13_286,plain,
( e1 != e0
| e0 = e1 ),
inference(subst,[],[refute_13_15:[bind(X,$fot(e1)),bind(Y,$fot(e0))]]) ).
cnf(refute_13_287,plain,
e1 != e0,
inference(resolve,[$cnf( $equal(e0,e1) )],[refute_13_286,refute_13_285]) ).
cnf(refute_13_288,plain,
( e2 = e0
| e3 = e2
| op(e2,e1) = e0 ),
inference(resolve,[$cnf( $equal(e1,e0) )],[refute_13_284,refute_13_287]) ).
cnf(refute_13_289,plain,
( e2 != e0
| e0 = e2 ),
inference(subst,[],[refute_13_15:[bind(X,$fot(e2)),bind(Y,$fot(e0))]]) ).
cnf(refute_13_290,plain,
e2 != e0,
inference(resolve,[$cnf( $equal(e0,e2) )],[refute_13_289,refute_13_227]) ).
cnf(refute_13_291,plain,
( e3 = e2
| op(e2,e1) = e0 ),
inference(resolve,[$cnf( $equal(e2,e0) )],[refute_13_288,refute_13_290]) ).
cnf(refute_13_292,plain,
op(e2,e1) = e0,
inference(resolve,[$cnf( $equal(e3,e2) )],[refute_13_291,refute_13_180]) ).
cnf(refute_13_293,plain,
( op(e2,e1) != e0
| op(e2,e1) != e4
| e0 = e4 ),
introduced(tautology,[equality,[$cnf( $equal(op(e2,e1),e4) ),[0],$fot(e0)]]) ).
cnf(refute_13_294,plain,
( op(e2,e1) != e4
| e0 = e4 ),
inference(resolve,[$cnf( $equal(op(e2,e1),e0) )],[refute_13_292,refute_13_293]) ).
cnf(refute_13_295,plain,
( e0 = e4
| e2 = e4
| op(e2,e2) = e4
| op(e2,e3) = e4
| op(e2,e4) = e4 ),
inference(resolve,[$cnf( $equal(op(e2,e1),e4) )],[refute_13_264,refute_13_294]) ).
cnf(refute_13_296,plain,
( e0 = e4
| e1 = e4
| e2 = e4
| op(e2,e3) = e4
| op(e2,e4) = e4 ),
inference(resolve,[$cnf( $equal(op(e2,e2),e4) )],[refute_13_295,refute_13_249]) ).
cnf(refute_13_297,plain,
( op(e0,e4) = e3
| op(e1,e4) = e3
| op(e2,e4) = e3
| op(e3,e4) = e3
| op(e4,e4) = e3 ),
inference(canonicalize,[],[normalize_13_49]) ).
cnf(refute_13_298,plain,
( op(e4,e4) != e1
| op(e4,e4) != e3
| e1 = e3 ),
introduced(tautology,[equality,[$cnf( $equal(op(e4,e4),e3) ),[0],$fot(e1)]]) ).
cnf(refute_13_299,plain,
( op(e4,e4) != e3
| e1 = e3 ),
inference(resolve,[$cnf( $equal(op(e4,e4),e1) )],[refute_13_17,refute_13_298]) ).
cnf(refute_13_300,plain,
( e1 = e3
| op(e0,e4) = e3
| op(e1,e4) = e3
| op(e2,e4) = e3
| op(e3,e4) = e3 ),
inference(resolve,[$cnf( $equal(op(e4,e4),e3) )],[refute_13_297,refute_13_299]) ).
cnf(refute_13_301,plain,
( op(e0,e4) = e3
| op(e1,e4) = e3
| op(e2,e4) = e3
| op(e3,e4) = e3 ),
inference(resolve,[$cnf( $equal(e1,e3) )],[refute_13_300,refute_13_126]) ).
cnf(refute_13_302,plain,
( e0 = e3
| op(e0,e4) = e3
| op(e2,e4) = e3
| op(e3,e4) = e3 ),
inference(resolve,[$cnf( $equal(op(e1,e4),e3) )],[refute_13_301,refute_13_103]) ).
cnf(refute_13_303,plain,
( op(e3,e4) != e2
| op(e3,e4) != e3
| e2 = e3 ),
introduced(tautology,[equality,[$cnf( $equal(op(e3,e4),e3) ),[0],$fot(e2)]]) ).
cnf(refute_13_304,plain,
( op(e3,e4) != e3
| e2 = e3 ),
inference(resolve,[$cnf( $equal(op(e3,e4),e2) )],[refute_13_43,refute_13_303]) ).
cnf(refute_13_305,plain,
( e0 = e3
| e2 = e3
| op(e0,e4) = e3
| op(e2,e4) = e3 ),
inference(resolve,[$cnf( $equal(op(e3,e4),e3) )],[refute_13_302,refute_13_304]) ).
cnf(refute_13_306,plain,
( e2 = e3
| op(e0,e4) = e3
| op(e2,e4) = e3 ),
inference(resolve,[$cnf( $equal(e0,e3) )],[refute_13_305,refute_13_105]) ).
cnf(refute_13_307,plain,
( op(e0,e4) = e3
| op(e2,e4) = e3 ),
inference(resolve,[$cnf( $equal(e2,e3) )],[refute_13_306,refute_13_178]) ).
cnf(refute_13_308,plain,
op(unit,e4) = op(unit,e4),
introduced(tautology,[refl,[$fot(op(unit,e4))]]) ).
cnf(refute_13_309,plain,
( op(unit,e4) != op(unit,e4)
| unit != e0
| op(unit,e4) = op(e0,e4) ),
introduced(tautology,[equality,[$cnf( $equal(op(unit,e4),op(unit,e4)) ),[1,0],$fot(e0)]]) ).
cnf(refute_13_310,plain,
( unit != e0
| op(unit,e4) = op(e0,e4) ),
inference(resolve,[$cnf( $equal(op(unit,e4),op(unit,e4)) )],[refute_13_308,refute_13_309]) ).
cnf(refute_13_311,plain,
op(unit,e4) = op(e0,e4),
inference(resolve,[$cnf( $equal(unit,e0) )],[refute_13_75,refute_13_310]) ).
cnf(refute_13_312,plain,
( op(unit,e4) != e4
| op(unit,e4) != op(e0,e4)
| op(e0,e4) = e4 ),
introduced(tautology,[equality,[$cnf( $equal(op(unit,e4),e4) ),[0],$fot(op(e0,e4))]]) ).
cnf(refute_13_313,plain,
( op(unit,e4) != e4
| op(e0,e4) = e4 ),
inference(resolve,[$cnf( $equal(op(unit,e4),op(e0,e4)) )],[refute_13_311,refute_13_312]) ).
cnf(refute_13_314,plain,
op(e0,e4) = e4,
inference(resolve,[$cnf( $equal(op(unit,e4),e4) )],[refute_13_6,refute_13_313]) ).
cnf(refute_13_315,plain,
( op(e0,e4) != e3
| op(e0,e4) != e4
| e4 = e3 ),
introduced(tautology,[equality,[$cnf( $equal(op(e0,e4),e3) ),[0],$fot(e4)]]) ).
cnf(refute_13_316,plain,
( op(e0,e4) != e3
| e4 = e3 ),
inference(resolve,[$cnf( $equal(op(e0,e4),e4) )],[refute_13_314,refute_13_315]) ).
cnf(refute_13_317,plain,
( e4 = e3
| op(e2,e4) = e3 ),
inference(resolve,[$cnf( $equal(op(e0,e4),e3) )],[refute_13_307,refute_13_316]) ).
cnf(refute_13_318,plain,
( e4 != e3
| e3 = e4 ),
inference(subst,[],[refute_13_15:[bind(X,$fot(e4)),bind(Y,$fot(e3))]]) ).
cnf(refute_13_319,plain,
e4 != e3,
inference(resolve,[$cnf( $equal(e3,e4) )],[refute_13_318,refute_13_55]) ).
cnf(refute_13_320,plain,
op(e2,e4) = e3,
inference(resolve,[$cnf( $equal(e4,e3) )],[refute_13_317,refute_13_319]) ).
cnf(refute_13_321,plain,
( op(e2,e4) != e3
| op(e2,e4) != e4
| e3 = e4 ),
introduced(tautology,[equality,[$cnf( $equal(op(e2,e4),e4) ),[0],$fot(e3)]]) ).
cnf(refute_13_322,plain,
( op(e2,e4) != e4
| e3 = e4 ),
inference(resolve,[$cnf( $equal(op(e2,e4),e3) )],[refute_13_320,refute_13_321]) ).
cnf(refute_13_323,plain,
( e0 = e4
| e1 = e4
| e2 = e4
| e3 = e4
| op(e2,e3) = e4 ),
inference(resolve,[$cnf( $equal(op(e2,e4),e4) )],[refute_13_296,refute_13_322]) ).
cnf(refute_13_324,plain,
( e1 = e4
| e2 = e4
| e3 = e4
| op(e2,e3) = e4 ),
inference(resolve,[$cnf( $equal(e0,e4) )],[refute_13_323,refute_13_254]) ).
cnf(refute_13_325,plain,
( e2 = e4
| e3 = e4
| op(e2,e3) = e4 ),
inference(resolve,[$cnf( $equal(e1,e4) )],[refute_13_324,refute_13_63]) ).
cnf(refute_13_326,plain,
( e3 = e4
| op(e2,e3) = e4 ),
inference(resolve,[$cnf( $equal(e2,e4) )],[refute_13_325,refute_13_47]) ).
cnf(refute_13_327,plain,
op(e2,e3) = e4,
inference(resolve,[$cnf( $equal(e3,e4) )],[refute_13_326,refute_13_55]) ).
cnf(refute_13_328,plain,
( e4 != e4
| op(e2,e3) != e4
| e4 = op(e2,e3) ),
introduced(tautology,[equality,[$cnf( ~ $equal(e4,op(e2,e3)) ),[1],$fot(e4)]]) ).
cnf(refute_13_329,plain,
( e4 != e4
| e4 = op(e2,e3) ),
inference(resolve,[$cnf( $equal(op(e2,e3),e4) )],[refute_13_327,refute_13_328]) ).
cnf(refute_13_330,plain,
( e4 != e4
| op(e3,e2) = op(e2,e3) ),
inference(resolve,[$cnf( $equal(e4,op(e2,e3)) )],[refute_13_329,refute_13_260]) ).
cnf(refute_13_331,plain,
e4 != e4,
inference(resolve,[$cnf( $equal(op(e3,e2),op(e2,e3)) )],[refute_13_330,refute_13_0]) ).
cnf(refute_13_332,plain,
e4 = e4,
introduced(tautology,[refl,[$fot(e4)]]) ).
cnf(refute_13_333,plain,
$false,
inference(resolve,[$cnf( $equal(e4,e4) )],[refute_13_332,refute_13_331]) ).
fof(negate_14_0,plain,
~ ( ( ( ( op(e0,e0) = e0
& op(e0,e0) = e0
& op(e0,e0) != e0 )
| ( op(e0,e0) = e1
& op(e1,e1) = e0
& op(e0,e1) != e0 )
| ( op(e0,e0) = e2
& op(e2,e2) = e0
& op(e0,e2) != e0 )
| ( op(e0,e0) = e3
& op(e3,e3) = e0
& op(e0,e3) != e0 )
| ( op(e0,e0) = e4
& op(e4,e4) = e0
& op(e0,e4) != e0 )
| ( op(e1,e1) = e0
& op(e0,e0) = e1
& op(e1,e0) != e1 )
| ( op(e1,e1) = e1
& op(e1,e1) = e1
& op(e1,e1) != e1 )
| ( op(e1,e1) = e2
& op(e2,e2) = e1
& op(e1,e2) != e1 )
| ( op(e1,e1) = e3
& op(e3,e3) = e1
& op(e1,e3) != e1 )
| ( op(e1,e1) = e4
& op(e4,e4) = e1
& op(e1,e4) != e1 )
| ( op(e2,e2) = e0
& op(e0,e0) = e2
& op(e2,e0) != e2 )
| ( op(e2,e2) = e1
& op(e1,e1) = e2
& op(e2,e1) != e2 )
| ( op(e2,e2) = e2
& op(e2,e2) = e2
& op(e2,e2) != e2 )
| ( op(e2,e2) = e3
& op(e3,e3) = e2
& op(e2,e3) != e2 )
| ( op(e2,e2) = e4
& op(e4,e4) = e2
& op(e2,e4) != e2 )
| ( op(e3,e3) = e0
& op(e0,e0) = e3
& op(e3,e0) != e3 )
| ( op(e3,e3) = e1
& op(e1,e1) = e3
& op(e3,e1) != e3 )
| ( op(e3,e3) = e2
& op(e2,e2) = e3
& op(e3,e2) != e3 )
| ( op(e3,e3) = e3
& op(e3,e3) = e3
& op(e3,e3) != e3 )
| ( op(e3,e3) = e4
& op(e4,e4) = e3
& op(e3,e4) != e3 )
| ( op(e4,e4) = e0
& op(e0,e0) = e4
& op(e4,e0) != e4 )
| ( op(e4,e4) = e1
& op(e1,e1) = e4
& op(e4,e1) != e4 )
| ( op(e4,e4) = e2
& op(e2,e2) = e4
& op(e4,e2) != e4 )
| ( op(e4,e4) = e3
& op(e3,e3) = e4
& op(e4,e3) != e4 )
| ( op(e4,e4) = e4
& op(e4,e4) = e4
& op(e4,e4) != e4 ) )
& ~ ( op(e0,e0) != op(e0,e0)
& op(op(e0,e0),e0) = e0
& op(op(e0,e0),e0) != e0 )
& ~ ( op(e1,e0) != op(e0,e1)
& op(op(e0,e1),e1) = e0
& op(op(e0,e1),e0) != e1 )
& ~ ( op(e2,e0) != op(e0,e2)
& op(op(e0,e2),e2) = e0
& op(op(e0,e2),e0) != e2 )
& ~ ( op(e3,e0) != op(e0,e3)
& op(op(e0,e3),e3) = e0
& op(op(e0,e3),e0) != e3 )
& ~ ( op(e4,e0) != op(e0,e4)
& op(op(e0,e4),e4) = e0
& op(op(e0,e4),e0) != e4 )
& ~ ( op(e0,e1) != op(e1,e0)
& op(op(e1,e0),e0) = e1
& op(op(e1,e0),e1) != e0 )
& ~ ( op(e1,e1) != op(e1,e1)
& op(op(e1,e1),e1) = e1
& op(op(e1,e1),e1) != e1 )
& ~ ( op(e2,e1) != op(e1,e2)
& op(op(e1,e2),e2) = e1
& op(op(e1,e2),e1) != e2 )
& ~ ( op(e3,e1) != op(e1,e3)
& op(op(e1,e3),e3) = e1
& op(op(e1,e3),e1) != e3 )
& ~ ( op(e4,e1) != op(e1,e4)
& op(op(e1,e4),e4) = e1
& op(op(e1,e4),e1) != e4 )
& ~ ( op(e0,e2) != op(e2,e0)
& op(op(e2,e0),e0) = e2
& op(op(e2,e0),e2) != e0 )
& ~ ( op(e1,e2) != op(e2,e1)
& op(op(e2,e1),e1) = e2
& op(op(e2,e1),e2) != e1 )
& ~ ( op(e2,e2) != op(e2,e2)
& op(op(e2,e2),e2) = e2
& op(op(e2,e2),e2) != e2 )
& ~ ( op(e3,e2) != op(e2,e3)
& op(op(e2,e3),e3) = e2
& op(op(e2,e3),e2) != e3 )
& op(e4,e2) != op(e2,e4)
& op(op(e2,e4),e4) = e2 )
=> op(op(e2,e4),e2) = e4 ),
inference(negate,[],[subgoal_14]) ).
fof(normalize_14_0,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_14_1,plain,
( op(e3,e2) = e0
| op(e3,e2) = e1
| op(e3,e2) = e2
| op(e3,e2) = e3
| op(e3,e2) = e4 ),
inference(conjunct,[],[normalize_14_0]) ).
fof(normalize_14_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_14_3,plain,
op(e3,e2) != op(e4,e2),
inference(conjunct,[],[normalize_14_2]) ).
fof(normalize_14_4,plain,
op(e0,e2) != op(e4,e2),
inference(conjunct,[],[normalize_14_2]) ).
fof(normalize_14_5,plain,
( op(e4,e2) = e0
| op(e4,e2) = e1
| op(e4,e2) = e2
| op(e4,e2) = e3
| op(e4,e2) = e4 ),
inference(conjunct,[],[normalize_14_0]) ).
fof(normalize_14_6,plain,
op(e4,e2) != op(e4,e4),
inference(conjunct,[],[normalize_14_2]) ).
fof(normalize_14_7,plain,
( e0 = op(op(e4,e4),e4)
& e1 = op(e4,e4)
& e2 = op(op(e4,op(e4,e4)),e4)
& e3 = op(e4,op(e4,e4)) ),
inference(canonicalize,[],[ax6]) ).
fof(normalize_14_8,plain,
e1 = op(e4,e4),
inference(conjunct,[],[normalize_14_7]) ).
fof(normalize_14_9,plain,
op(e4,e1) != op(e4,e2),
inference(conjunct,[],[normalize_14_2]) ).
fof(normalize_14_10,plain,
e3 = op(e4,op(e4,e4)),
inference(conjunct,[],[normalize_14_7]) ).
fof(normalize_14_11,plain,
( op(e0,unit) = e0
& op(e1,unit) = e1
& op(e2,unit) = e2
& op(e3,unit) = e3
& op(e4,unit) = e4
& op(unit,e0) = e0
& op(unit,e1) = e1
& op(unit,e2) = e2
& op(unit,e3) = e3
& op(unit,e4) = e4
& ( unit = e0
| unit = e1
| unit = e2
| unit = e3
| unit = e4 ) ),
inference(canonicalize,[],[ax2]) ).
fof(normalize_14_12,plain,
op(unit,e2) = e2,
inference(conjunct,[],[normalize_14_11]) ).
fof(normalize_14_13,plain,
( op(e4,e2) != op(e2,e4)
& op(op(e2,e4),e2) != e4
& op(op(e2,e4),e4) = e2
& ( op(op(e0,e1),e1) != e0
| op(e1,e0) = op(e0,e1)
| op(op(e0,e1),e0) = e1 )
& ( op(op(e0,e2),e2) != e0
| op(e2,e0) = op(e0,e2)
| op(op(e0,e2),e0) = e2 )
& ( op(op(e0,e3),e3) != e0
| op(e3,e0) = op(e0,e3)
| op(op(e0,e3),e0) = e3 )
& ( op(op(e0,e4),e4) != e0
| op(e4,e0) = op(e0,e4)
| op(op(e0,e4),e0) = e4 )
& ( op(op(e1,e0),e0) != e1
| op(e0,e1) = op(e1,e0)
| op(op(e1,e0),e1) = e0 )
& ( op(op(e1,e2),e2) != e1
| op(e2,e1) = op(e1,e2)
| op(op(e1,e2),e1) = e2 )
& ( op(op(e1,e3),e3) != e1
| op(e3,e1) = op(e1,e3)
| op(op(e1,e3),e1) = e3 )
& ( op(op(e1,e4),e4) != e1
| op(e4,e1) = op(e1,e4)
| op(op(e1,e4),e1) = e4 )
& ( op(op(e2,e0),e0) != e2
| op(e0,e2) = op(e2,e0)
| op(op(e2,e0),e2) = e0 )
& ( op(op(e2,e1),e1) != e2
| op(e1,e2) = op(e2,e1)
| op(op(e2,e1),e2) = e1 )
& ( op(op(e2,e3),e3) != e2
| op(e3,e2) = op(e2,e3)
| op(op(e2,e3),e2) = e3 )
& ( ( op(e0,e1) != e0
& op(e0,e0) = e1
& op(e1,e1) = e0 )
| ( op(e0,e2) != e0
& op(e0,e0) = e2
& op(e2,e2) = e0 )
| ( op(e0,e3) != e0
& op(e0,e0) = e3
& op(e3,e3) = e0 )
| ( op(e0,e4) != e0
& op(e0,e0) = e4
& op(e4,e4) = e0 )
| ( op(e1,e0) != e1
& op(e0,e0) = e1
& op(e1,e1) = e0 )
| ( op(e1,e2) != e1
& op(e1,e1) = e2
& op(e2,e2) = e1 )
| ( op(e1,e3) != e1
& op(e1,e1) = e3
& op(e3,e3) = e1 )
| ( op(e1,e4) != e1
& op(e1,e1) = e4
& op(e4,e4) = e1 )
| ( op(e2,e0) != e2
& op(e0,e0) = e2
& op(e2,e2) = e0 )
| ( op(e2,e1) != e2
& op(e1,e1) = e2
& op(e2,e2) = e1 )
| ( op(e2,e3) != e2
& op(e2,e2) = e3
& op(e3,e3) = e2 )
| ( op(e2,e4) != e2
& op(e2,e2) = e4
& op(e4,e4) = e2 )
| ( op(e3,e0) != e3
& op(e0,e0) = e3
& op(e3,e3) = e0 )
| ( op(e3,e1) != e3
& op(e1,e1) = e3
& op(e3,e3) = e1 )
| ( op(e3,e2) != e3
& op(e2,e2) = e3
& op(e3,e3) = e2 )
| ( op(e3,e4) != e3
& op(e3,e3) = e4
& op(e4,e4) = e3 )
| ( op(e4,e0) != e4
& op(e0,e0) = e4
& op(e4,e4) = e0 )
| ( op(e4,e1) != e4
& op(e1,e1) = e4
& op(e4,e4) = e1 )
| ( op(e4,e2) != e4
& op(e2,e2) = e4
& op(e4,e4) = e2 )
| ( op(e4,e3) != e4
& op(e3,e3) = e4
& op(e4,e4) = e3 ) ) ),
inference(canonicalize,[],[negate_14_0]) ).
fof(normalize_14_14,plain,
op(op(e2,e4),e4) = e2,
inference(conjunct,[],[normalize_14_13]) ).
fof(normalize_14_15,plain,
op(unit,e4) = e4,
inference(conjunct,[],[normalize_14_11]) ).
fof(normalize_14_16,plain,
( unit = e0
| unit = e1
| unit = e2
| unit = e3
| unit = e4 ),
inference(conjunct,[],[normalize_14_11]) ).
fof(normalize_14_17,plain,
e0 = op(op(e4,e4),e4),
inference(conjunct,[],[normalize_14_7]) ).
fof(normalize_14_18,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_14_19,plain,
e0 != e4,
inference(conjunct,[],[normalize_14_18]) ).
fof(normalize_14_20,plain,
e2 = op(op(e4,op(e4,e4)),e4),
inference(conjunct,[],[normalize_14_7]) ).
fof(normalize_14_21,plain,
e2 != e4,
inference(conjunct,[],[normalize_14_18]) ).
fof(normalize_14_22,plain,
e1 != e4,
inference(conjunct,[],[normalize_14_18]) ).
fof(normalize_14_23,plain,
e1 != e2,
inference(conjunct,[],[normalize_14_18]) ).
fof(normalize_14_24,plain,
op(e4,e0) != op(e4,e2),
inference(conjunct,[],[normalize_14_2]) ).
fof(normalize_14_25,plain,
op(e4,unit) = e4,
inference(conjunct,[],[normalize_14_11]) ).
fof(normalize_14_26,plain,
op(e2,e2) != op(e3,e2),
inference(conjunct,[],[normalize_14_2]) ).
fof(normalize_14_27,plain,
( ~ definitionFOFtoCNF_121
<=> ( ( op(e0,e0) != e1
| op(e1,e1) != e0
| op(e0,e1) = e0 )
& ( op(e0,e0) != e1
| op(e1,e1) != e0
| op(e1,e0) = e1 )
& ( op(e0,e0) != e2
| op(e2,e2) != e0
| op(e0,e2) = e0 )
& ( op(e0,e0) != e2
| op(e2,e2) != e0
| op(e2,e0) = e2 )
& ( op(e0,e0) != e3
| op(e3,e3) != e0
| op(e0,e3) = e0 )
& ( op(e0,e0) != e4
| op(e4,e4) != e0
| op(e0,e4) = e0 )
& ( op(e1,e1) != e2
| op(e2,e2) != e1
| op(e1,e2) = e1 )
& ( op(e1,e1) != e2
| op(e2,e2) != e1
| op(e2,e1) = e2 )
& ( op(e1,e1) != e3
| op(e3,e3) != e1
| op(e1,e3) = e1 )
& ( op(e1,e1) != e4
| op(e4,e4) != e1
| op(e1,e4) = e1 ) ) ),
inference(canonicalize,[],[definition_3]) ).
fof(normalize_14_28,plain,
( ~ definitionFOFtoCNF_122
<=> ( ( op(e0,e1) != e0
& op(e0,e0) = e1
& op(e1,e1) = e0 )
| ( op(e0,e2) != e0
& op(e0,e0) = e2
& op(e2,e2) = e0 )
| ( op(e0,e3) != e0
& op(e0,e0) = e3
& op(e3,e3) = e0 )
| ( op(e1,e0) != e1
& op(e0,e0) = e1
& op(e1,e1) = e0 )
| ( op(e2,e0) != e2
& op(e0,e0) = e2
& op(e2,e2) = e0 ) ) ),
inference(canonicalize,[],[definition_4]) ).
fof(normalize_14_29,plain,
( ~ definitionFOFtoCNF_123
<=> ( ( op(e0,e1) != e0
& op(e0,e0) = e1
& op(e1,e1) = e0 )
| ( op(e1,e0) != e1
& op(e0,e0) = e1
& op(e1,e1) = e0 ) ) ),
inference(canonicalize,[],[definition_5]) ).
fof(normalize_14_30,plain,
( ~ definitionFOFtoCNF_122
<=> ( ~ definitionFOFtoCNF_123
| ( op(e0,e2) != e0
& op(e0,e0) = e2
& op(e2,e2) = e0 )
| ( op(e0,e3) != e0
& op(e0,e0) = e3
& op(e3,e3) = e0 )
| ( op(e2,e0) != e2
& op(e0,e0) = e2
& op(e2,e2) = e0 ) ) ),
inference(simplify,[],[normalize_14_28,normalize_14_29]) ).
fof(normalize_14_31,plain,
( ~ definitionFOFtoCNF_124
<=> ( op(e0,e2) != e0
& op(e0,e0) = e2
& op(e2,e2) = e0 ) ),
inference(canonicalize,[],[definition_6]) ).
fof(normalize_14_32,plain,
( ~ definitionFOFtoCNF_122
<=> ( ~ definitionFOFtoCNF_123
| ~ definitionFOFtoCNF_124
| ( op(e0,e3) != e0
& op(e0,e0) = e3
& op(e3,e3) = e0 )
| ( op(e2,e0) != e2
& op(e0,e0) = e2
& op(e2,e2) = e0 ) ) ),
inference(simplify,[],[normalize_14_30,normalize_14_31]) ).
fof(normalize_14_33,plain,
( ~ definitionFOFtoCNF_121
<=> ( definitionFOFtoCNF_122
& ( op(e0,e0) != e4
| op(e4,e4) != e0
| op(e0,e4) = e0 )
& ( op(e1,e1) != e2
| op(e2,e2) != e1
| op(e1,e2) = e1 )
& ( op(e1,e1) != e2
| op(e2,e2) != e1
| op(e2,e1) = e2 )
& ( op(e1,e1) != e3
| op(e3,e3) != e1
| op(e1,e3) = e1 )
& ( op(e1,e1) != e4
| op(e4,e4) != e1
| op(e1,e4) = e1 ) ) ),
inference(simplify,[],[normalize_14_27,normalize_14_32,normalize_14_29,normalize_14_31]) ).
fof(normalize_14_34,plain,
( ~ definitionFOFtoCNF_125
<=> ( ( op(e1,e3) != e1
& op(e1,e1) = e3
& op(e3,e3) = e1 )
| ( op(e1,e4) != e1
& op(e1,e1) = e4
& op(e4,e4) = e1 ) ) ),
inference(canonicalize,[],[definition_7]) ).
fof(normalize_14_35,plain,
( ~ definitionFOFtoCNF_121
<=> ( definitionFOFtoCNF_122
& definitionFOFtoCNF_125
& ( op(e0,e0) != e4
| op(e4,e4) != e0
| op(e0,e4) = e0 )
& ( op(e1,e1) != e2
| op(e2,e2) != e1
| op(e1,e2) = e1 )
& ( op(e1,e1) != e2
| op(e2,e2) != e1
| op(e2,e1) = e2 ) ) ),
inference(simplify,[],[normalize_14_33,normalize_14_34]) ).
fof(normalize_14_36,plain,
( ~ definitionFOFtoCNF_126
<=> ( op(e0,e4) != e0
& op(e0,e0) = e4
& op(e4,e4) = e0 ) ),
inference(canonicalize,[],[definition_8]) ).
fof(normalize_14_37,plain,
( ~ definitionFOFtoCNF_121
<=> ( definitionFOFtoCNF_122
& definitionFOFtoCNF_125
& definitionFOFtoCNF_126
& ( op(e1,e1) != e2
| op(e2,e2) != e1
| op(e1,e2) = e1 )
& ( op(e1,e1) != e2
| op(e2,e2) != e1
| op(e2,e1) = e2 ) ) ),
inference(simplify,[],[normalize_14_35,normalize_14_36]) ).
fof(normalize_14_38,plain,
( ( definitionFOFtoCNF_121
| definitionFOFtoCNF_122 )
& ( definitionFOFtoCNF_121
| definitionFOFtoCNF_125 )
& ( definitionFOFtoCNF_121
| definitionFOFtoCNF_126 )
& ( op(e1,e1) != e2
| op(e2,e2) != e1
| op(e1,e2) = e1
| definitionFOFtoCNF_121 )
& ( op(e1,e1) != e2
| op(e2,e2) != e1
| op(e2,e1) = e2
| definitionFOFtoCNF_121 )
& ( ~ definitionFOFtoCNF_121
| ~ definitionFOFtoCNF_122
| ~ definitionFOFtoCNF_125
| ~ definitionFOFtoCNF_126
| op(e1,e1) = e2 )
& ( ~ definitionFOFtoCNF_121
| ~ definitionFOFtoCNF_122
| ~ definitionFOFtoCNF_125
| ~ definitionFOFtoCNF_126
| op(e2,e2) = e1 )
& ( op(e1,e2) != e1
| op(e2,e1) != e2
| ~ definitionFOFtoCNF_121
| ~ definitionFOFtoCNF_122
| ~ definitionFOFtoCNF_125
| ~ definitionFOFtoCNF_126 )
& ( op(e1,e2) != e1
| ~ definitionFOFtoCNF_121
| ~ definitionFOFtoCNF_122
| ~ definitionFOFtoCNF_125
| ~ definitionFOFtoCNF_126
| op(e1,e1) = e2 )
& ( op(e1,e2) != e1
| ~ definitionFOFtoCNF_121
| ~ definitionFOFtoCNF_122
| ~ definitionFOFtoCNF_125
| ~ definitionFOFtoCNF_126
| op(e2,e2) = e1 )
& ( op(e2,e1) != e2
| ~ definitionFOFtoCNF_121
| ~ definitionFOFtoCNF_122
| ~ definitionFOFtoCNF_125
| ~ definitionFOFtoCNF_126
| op(e1,e1) = e2 )
& ( op(e2,e1) != e2
| ~ definitionFOFtoCNF_121
| ~ definitionFOFtoCNF_122
| ~ definitionFOFtoCNF_125
| ~ definitionFOFtoCNF_126
| op(e2,e2) = e1 )
& ( ~ definitionFOFtoCNF_121
| ~ definitionFOFtoCNF_122
| ~ definitionFOFtoCNF_125
| ~ definitionFOFtoCNF_126
| op(e1,e1) = e2
| op(e2,e2) = e1 ) ),
inference(clausify,[],[normalize_14_37]) ).
fof(normalize_14_39,plain,
( ~ definitionFOFtoCNF_121
| ~ definitionFOFtoCNF_122
| ~ definitionFOFtoCNF_125
| ~ definitionFOFtoCNF_126
| op(e2,e2) = e1 ),
inference(conjunct,[],[normalize_14_38]) ).
fof(normalize_14_40,plain,
( ( op(e0,e4) != e0
| definitionFOFtoCNF_126 )
& ( op(e0,e0) = e4
| definitionFOFtoCNF_126 )
& ( op(e4,e4) = e0
| definitionFOFtoCNF_126 )
& ( op(e0,e0) != e4
| op(e4,e4) != e0
| ~ definitionFOFtoCNF_126
| op(e0,e4) = e0 ) ),
inference(clausify,[],[normalize_14_36]) ).
fof(normalize_14_41,plain,
( op(e4,e4) = e0
| definitionFOFtoCNF_126 ),
inference(conjunct,[],[normalize_14_40]) ).
fof(normalize_14_42,plain,
e0 != e1,
inference(conjunct,[],[normalize_14_18]) ).
fof(normalize_14_43,plain,
op(e1,e1) != op(e3,e1),
inference(conjunct,[],[normalize_14_2]) ).
fof(normalize_14_44,plain,
( ( op(e1,e3) != e1
| op(e1,e4) != e1
| definitionFOFtoCNF_125 )
& ( op(e1,e3) != e1
| op(e1,e1) = e4
| definitionFOFtoCNF_125 )
& ( op(e1,e3) != e1
| op(e4,e4) = e1
| definitionFOFtoCNF_125 )
& ( op(e1,e4) != e1
| op(e1,e1) = e3
| definitionFOFtoCNF_125 )
& ( op(e1,e4) != e1
| op(e3,e3) = e1
| definitionFOFtoCNF_125 )
& ( op(e1,e1) = e3
| op(e1,e1) = e4
| definitionFOFtoCNF_125 )
& ( op(e1,e1) = e3
| op(e4,e4) = e1
| definitionFOFtoCNF_125 )
& ( op(e1,e1) = e4
| op(e3,e3) = e1
| definitionFOFtoCNF_125 )
& ( op(e3,e3) = e1
| op(e4,e4) = e1
| definitionFOFtoCNF_125 )
& ( op(e1,e1) != e3
| op(e3,e3) != e1
| ~ definitionFOFtoCNF_125
| op(e1,e3) = e1 )
& ( op(e1,e1) != e4
| op(e4,e4) != e1
| ~ definitionFOFtoCNF_125
| op(e1,e4) = e1 ) ),
inference(clausify,[],[normalize_14_34]) ).
fof(normalize_14_45,plain,
( op(e1,e1) = e3
| op(e1,e1) = e4
| definitionFOFtoCNF_125 ),
inference(conjunct,[],[normalize_14_44]) ).
fof(normalize_14_46,plain,
op(e1,e1) != op(e4,e1),
inference(conjunct,[],[normalize_14_2]) ).
fof(normalize_14_47,plain,
op(e2,e1) != op(e3,e1),
inference(conjunct,[],[normalize_14_2]) ).
fof(normalize_14_48,plain,
op(e1,e1) != op(e2,e1),
inference(conjunct,[],[normalize_14_2]) ).
fof(normalize_14_49,plain,
( op(e2,e1) = e0
| op(e2,e1) = e1
| op(e2,e1) = e2
| op(e2,e1) = e3
| op(e2,e1) = e4 ),
inference(conjunct,[],[normalize_14_0]) ).
fof(normalize_14_50,plain,
op(e2,e1) != op(e4,e1),
inference(conjunct,[],[normalize_14_2]) ).
fof(normalize_14_51,plain,
op(e0,e1) != op(e2,e1),
inference(conjunct,[],[normalize_14_2]) ).
fof(normalize_14_52,plain,
op(unit,e1) = e1,
inference(conjunct,[],[normalize_14_11]) ).
fof(normalize_14_53,plain,
op(e2,e0) != op(e2,e1),
inference(conjunct,[],[normalize_14_2]) ).
fof(normalize_14_54,plain,
op(e2,unit) = e2,
inference(conjunct,[],[normalize_14_11]) ).
fof(normalize_14_55,plain,
( op(e3,e1) = e0
| op(e3,e1) = e1
| op(e3,e1) = e2
| op(e3,e1) = e3
| op(e3,e1) = e4 ),
inference(conjunct,[],[normalize_14_0]) ).
fof(normalize_14_56,plain,
op(e3,e1) != op(e4,e1),
inference(conjunct,[],[normalize_14_2]) ).
fof(normalize_14_57,plain,
op(e0,e1) != op(e3,e1),
inference(conjunct,[],[normalize_14_2]) ).
fof(normalize_14_58,plain,
op(e3,e1) != op(e3,e4),
inference(conjunct,[],[normalize_14_2]) ).
fof(normalize_14_59,plain,
( definitionFOFtoCNF_121
| definitionFOFtoCNF_125 ),
inference(conjunct,[],[normalize_14_38]) ).
fof(normalize_14_60,plain,
( op(e1,e1) != e4
| op(e4,e4) != e1
| ~ definitionFOFtoCNF_125
| op(e1,e4) = e1 ),
inference(conjunct,[],[normalize_14_44]) ).
fof(normalize_14_61,plain,
( ( op(e0,e1) != e0
& op(e0,e0) = e1
& op(e1,e1) = e0 )
| ( op(e0,e2) != e0
& op(e0,e0) = e2
& op(e2,e2) = e0 )
| ( op(e0,e3) != e0
& op(e0,e0) = e3
& op(e3,e3) = e0 )
| ( op(e0,e4) != e0
& op(e0,e0) = e4
& op(e4,e4) = e0 )
| ( op(e1,e0) != e1
& op(e0,e0) = e1
& op(e1,e1) = e0 )
| ( op(e1,e2) != e1
& op(e1,e1) = e2
& op(e2,e2) = e1 )
| ( op(e1,e3) != e1
& op(e1,e1) = e3
& op(e3,e3) = e1 )
| ( op(e1,e4) != e1
& op(e1,e1) = e4
& op(e4,e4) = e1 )
| ( op(e2,e0) != e2
& op(e0,e0) = e2
& op(e2,e2) = e0 )
| ( op(e2,e1) != e2
& op(e1,e1) = e2
& op(e2,e2) = e1 )
| ( op(e2,e3) != e2
& op(e2,e2) = e3
& op(e3,e3) = e2 )
| ( op(e2,e4) != e2
& op(e2,e2) = e4
& op(e4,e4) = e2 )
| ( op(e3,e0) != e3
& op(e0,e0) = e3
& op(e3,e3) = e0 )
| ( op(e3,e1) != e3
& op(e1,e1) = e3
& op(e3,e3) = e1 )
| ( op(e3,e2) != e3
& op(e2,e2) = e3
& op(e3,e3) = e2 )
| ( op(e3,e4) != e3
& op(e3,e3) = e4
& op(e4,e4) = e3 )
| ( op(e4,e0) != e4
& op(e0,e0) = e4
& op(e4,e4) = e0 )
| ( op(e4,e1) != e4
& op(e1,e1) = e4
& op(e4,e4) = e1 )
| ( op(e4,e2) != e4
& op(e2,e2) = e4
& op(e4,e4) = e2 )
| ( op(e4,e3) != e4
& op(e3,e3) = e4
& op(e4,e4) = e3 ) ),
inference(conjunct,[],[normalize_14_13]) ).
fof(normalize_14_62,plain,
( definitionFOFtoCNF_121
| ( op(e2,e3) != e2
& op(e2,e2) = e3
& op(e3,e3) = e2 )
| ( op(e2,e4) != e2
& op(e2,e2) = e4
& op(e4,e4) = e2 )
| ( op(e3,e0) != e3
& op(e0,e0) = e3
& op(e3,e3) = e0 )
| ( op(e3,e1) != e3
& op(e1,e1) = e3
& op(e3,e3) = e1 )
| ( op(e3,e2) != e3
& op(e2,e2) = e3
& op(e3,e3) = e2 )
| ( op(e3,e4) != e3
& op(e3,e3) = e4
& op(e4,e4) = e3 )
| ( op(e4,e0) != e4
& op(e0,e0) = e4
& op(e4,e4) = e0 )
| ( op(e4,e1) != e4
& op(e1,e1) = e4
& op(e4,e4) = e1 )
| ( op(e4,e2) != e4
& op(e2,e2) = e4
& op(e4,e4) = e2 )
| ( op(e4,e3) != e4
& op(e3,e3) = e4
& op(e4,e4) = e3 ) ),
inference(simplify,[],[normalize_14_61,normalize_14_37,normalize_14_34,normalize_14_32,normalize_14_29,normalize_14_31,normalize_14_36]) ).
fof(normalize_14_63,plain,
( ~ definitionFOFtoCNF_127
<=> ( ~ definitionFOFtoCNF_121
& ( op(e0,e0) != e3
| op(e3,e3) != e0
| op(e3,e0) = e3 )
& ( op(e1,e1) != e3
| op(e3,e3) != e1
| op(e3,e1) = e3 )
& ( op(e2,e2) != e3
| op(e3,e3) != e2
| op(e2,e3) = e2 )
& ( op(e2,e2) != e3
| op(e3,e3) != e2
| op(e3,e2) = e3 )
& ( op(e2,e2) != e4
| op(e4,e4) != e2
| op(e2,e4) = e2 ) ) ),
inference(canonicalize,[],[definition_9]) ).
fof(normalize_14_64,plain,
( ~ definitionFOFtoCNF_128
<=> ( ( op(e2,e4) != e2
& op(e2,e2) = e4
& op(e4,e4) = e2 )
| ( op(e3,e2) != e3
& op(e2,e2) = e3
& op(e3,e3) = e2 ) ) ),
inference(canonicalize,[],[definition_10]) ).
fof(normalize_14_65,plain,
( ~ definitionFOFtoCNF_127
<=> ( ~ definitionFOFtoCNF_121
& definitionFOFtoCNF_128
& ( op(e0,e0) != e3
| op(e3,e3) != e0
| op(e3,e0) = e3 )
& ( op(e1,e1) != e3
| op(e3,e3) != e1
| op(e3,e1) = e3 )
& ( op(e2,e2) != e3
| op(e3,e3) != e2
| op(e2,e3) = e2 ) ) ),
inference(simplify,[],[normalize_14_63,normalize_14_64]) ).
fof(normalize_14_66,plain,
( ~ definitionFOFtoCNF_129
<=> ( op(e3,e0) != e3
& op(e0,e0) = e3
& op(e3,e3) = e0 ) ),
inference(canonicalize,[],[definition_11]) ).
fof(normalize_14_67,plain,
( ~ definitionFOFtoCNF_127
<=> ( ~ definitionFOFtoCNF_121
& definitionFOFtoCNF_128
& definitionFOFtoCNF_129
& ( op(e1,e1) != e3
| op(e3,e3) != e1
| op(e3,e1) = e3 )
& ( op(e2,e2) != e3
| op(e3,e3) != e2
| op(e2,e3) = e2 ) ) ),
inference(simplify,[],[normalize_14_65,normalize_14_66]) ).
fof(normalize_14_68,plain,
( definitionFOFtoCNF_127
| ( op(e3,e4) != e3
& op(e3,e3) = e4
& op(e4,e4) = e3 )
| ( op(e4,e0) != e4
& op(e0,e0) = e4
& op(e4,e4) = e0 )
| ( op(e4,e1) != e4
& op(e1,e1) = e4
& op(e4,e4) = e1 )
| ( op(e4,e2) != e4
& op(e2,e2) = e4
& op(e4,e4) = e2 )
| ( op(e4,e3) != e4
& op(e3,e3) = e4
& op(e4,e4) = e3 ) ),
inference(simplify,[],[normalize_14_62,normalize_14_67,normalize_14_64,normalize_14_66]) ).
fof(normalize_14_69,plain,
( ~ definitionFOFtoCNF_130
<=> ( ( op(e2,e2) != e4
| op(e4,e4) != e2
| op(e4,e2) = e4 )
& ( op(e3,e3) != e4
| op(e4,e4) != e3
| op(e4,e3) = e4 ) ) ),
inference(canonicalize,[],[definition_12]) ).
fof(normalize_14_70,plain,
( definitionFOFtoCNF_127
| definitionFOFtoCNF_130
| ( op(e3,e4) != e3
& op(e3,e3) = e4
& op(e4,e4) = e3 )
| ( op(e4,e0) != e4
& op(e0,e0) = e4
& op(e4,e4) = e0 )
| ( op(e4,e1) != e4
& op(e1,e1) = e4
& op(e4,e4) = e1 ) ),
inference(simplify,[],[normalize_14_68,normalize_14_69]) ).
fof(normalize_14_71,plain,
( ~ definitionFOFtoCNF_131
<=> ( op(e3,e3) != e4
| op(e4,e4) != e3
| op(e3,e4) = e3 ) ),
inference(canonicalize,[],[definition_13]) ).
fof(normalize_14_72,plain,
( definitionFOFtoCNF_127
| definitionFOFtoCNF_130
| definitionFOFtoCNF_131
| ( op(e4,e0) != e4
& op(e0,e0) = e4
& op(e4,e4) = e0 )
| ( op(e4,e1) != e4
& op(e1,e1) = e4
& op(e4,e4) = e1 ) ),
inference(simplify,[],[normalize_14_70,normalize_14_71]) ).
fof(normalize_14_73,plain,
( ( op(e4,e0) != e4
| op(e4,e1) != e4
| definitionFOFtoCNF_127
| definitionFOFtoCNF_130
| definitionFOFtoCNF_131 )
& ( op(e4,e0) != e4
| op(e1,e1) = e4
| definitionFOFtoCNF_127
| definitionFOFtoCNF_130
| definitionFOFtoCNF_131 )
& ( op(e4,e0) != e4
| op(e4,e4) = e1
| definitionFOFtoCNF_127
| definitionFOFtoCNF_130
| definitionFOFtoCNF_131 )
& ( op(e4,e1) != e4
| op(e0,e0) = e4
| definitionFOFtoCNF_127
| definitionFOFtoCNF_130
| definitionFOFtoCNF_131 )
& ( op(e4,e1) != e4
| op(e4,e4) = e0
| definitionFOFtoCNF_127
| definitionFOFtoCNF_130
| definitionFOFtoCNF_131 )
& ( op(e0,e0) = e4
| op(e1,e1) = e4
| definitionFOFtoCNF_127
| definitionFOFtoCNF_130
| definitionFOFtoCNF_131 )
& ( op(e0,e0) = e4
| op(e4,e4) = e1
| definitionFOFtoCNF_127
| definitionFOFtoCNF_130
| definitionFOFtoCNF_131 )
& ( op(e1,e1) = e4
| op(e4,e4) = e0
| definitionFOFtoCNF_127
| definitionFOFtoCNF_130
| definitionFOFtoCNF_131 )
& ( op(e4,e4) = e0
| op(e4,e4) = e1
| definitionFOFtoCNF_127
| definitionFOFtoCNF_130
| definitionFOFtoCNF_131 ) ),
inference(clausify,[],[normalize_14_72]) ).
fof(normalize_14_74,plain,
( op(e1,e1) = e4
| op(e4,e4) = e0
| definitionFOFtoCNF_127
| definitionFOFtoCNF_130
| definitionFOFtoCNF_131 ),
inference(conjunct,[],[normalize_14_73]) ).
fof(normalize_14_75,plain,
( ( op(e4,e2) != e4
| op(e4,e3) != e4
| ~ definitionFOFtoCNF_130 )
& ( op(e4,e2) != e4
| ~ definitionFOFtoCNF_130
| op(e3,e3) = e4 )
& ( op(e4,e2) != e4
| ~ definitionFOFtoCNF_130
| op(e4,e4) = e3 )
& ( op(e4,e3) != e4
| ~ definitionFOFtoCNF_130
| op(e2,e2) = e4 )
& ( op(e4,e3) != e4
| ~ definitionFOFtoCNF_130
| op(e4,e4) = e2 )
& ( ~ definitionFOFtoCNF_130
| op(e2,e2) = e4
| op(e3,e3) = e4 )
& ( ~ definitionFOFtoCNF_130
| op(e2,e2) = e4
| op(e4,e4) = e3 )
& ( ~ definitionFOFtoCNF_130
| op(e3,e3) = e4
| op(e4,e4) = e2 )
& ( ~ definitionFOFtoCNF_130
| op(e4,e4) = e2
| op(e4,e4) = e3 )
& ( op(e2,e2) != e4
| op(e4,e4) != e2
| op(e4,e2) = e4
| definitionFOFtoCNF_130 )
& ( op(e3,e3) != e4
| op(e4,e4) != e3
| op(e4,e3) = e4
| definitionFOFtoCNF_130 ) ),
inference(clausify,[],[normalize_14_69]) ).
fof(normalize_14_76,plain,
( ~ definitionFOFtoCNF_130
| op(e4,e4) = e2
| op(e4,e4) = e3 ),
inference(conjunct,[],[normalize_14_75]) ).
fof(normalize_14_77,plain,
op(e4,e1) != op(e4,e4),
inference(conjunct,[],[normalize_14_2]) ).
fof(normalize_14_78,plain,
( ( op(e3,e4) != e3
| ~ definitionFOFtoCNF_131 )
& ( ~ definitionFOFtoCNF_131
| op(e3,e3) = e4 )
& ( ~ definitionFOFtoCNF_131
| op(e4,e4) = e3 )
& ( op(e3,e3) != e4
| op(e4,e4) != e3
| op(e3,e4) = e3
| definitionFOFtoCNF_131 ) ),
inference(clausify,[],[normalize_14_71]) ).
fof(normalize_14_79,plain,
( ~ definitionFOFtoCNF_131
| op(e4,e4) = e3 ),
inference(conjunct,[],[normalize_14_78]) ).
fof(normalize_14_80,plain,
( ( ~ definitionFOFtoCNF_121
| definitionFOFtoCNF_127 )
& ( definitionFOFtoCNF_127
| definitionFOFtoCNF_128 )
& ( definitionFOFtoCNF_127
| definitionFOFtoCNF_129 )
& ( op(e1,e1) != e3
| op(e3,e3) != e1
| op(e3,e1) = e3
| definitionFOFtoCNF_127 )
& ( op(e2,e2) != e3
| op(e3,e3) != e2
| op(e2,e3) = e2
| definitionFOFtoCNF_127 )
& ( op(e2,e3) != e2
| op(e3,e1) != e3
| ~ definitionFOFtoCNF_127
| ~ definitionFOFtoCNF_128
| ~ definitionFOFtoCNF_129
| definitionFOFtoCNF_121 )
& ( op(e2,e3) != e2
| ~ definitionFOFtoCNF_127
| ~ definitionFOFtoCNF_128
| ~ definitionFOFtoCNF_129
| op(e1,e1) = e3
| definitionFOFtoCNF_121 )
& ( op(e2,e3) != e2
| ~ definitionFOFtoCNF_127
| ~ definitionFOFtoCNF_128
| ~ definitionFOFtoCNF_129
| op(e3,e3) = e1
| definitionFOFtoCNF_121 )
& ( op(e3,e1) != e3
| ~ definitionFOFtoCNF_127
| ~ definitionFOFtoCNF_128
| ~ definitionFOFtoCNF_129
| op(e2,e2) = e3
| definitionFOFtoCNF_121 )
& ( op(e3,e1) != e3
| ~ definitionFOFtoCNF_127
| ~ definitionFOFtoCNF_128
| ~ definitionFOFtoCNF_129
| op(e3,e3) = e2
| definitionFOFtoCNF_121 )
& ( ~ definitionFOFtoCNF_127
| ~ definitionFOFtoCNF_128
| ~ definitionFOFtoCNF_129
| op(e1,e1) = e3
| op(e2,e2) = e3
| definitionFOFtoCNF_121 )
& ( ~ definitionFOFtoCNF_127
| ~ definitionFOFtoCNF_128
| ~ definitionFOFtoCNF_129
| op(e1,e1) = e3
| op(e3,e3) = e2
| definitionFOFtoCNF_121 )
& ( ~ definitionFOFtoCNF_127
| ~ definitionFOFtoCNF_128
| ~ definitionFOFtoCNF_129
| op(e2,e2) = e3
| op(e3,e3) = e1
| definitionFOFtoCNF_121 )
& ( ~ definitionFOFtoCNF_127
| ~ definitionFOFtoCNF_128
| ~ definitionFOFtoCNF_129
| op(e3,e3) = e1
| op(e3,e3) = e2
| definitionFOFtoCNF_121 ) ),
inference(clausify,[],[normalize_14_67]) ).
fof(normalize_14_81,plain,
( ~ definitionFOFtoCNF_127
| ~ definitionFOFtoCNF_128
| ~ definitionFOFtoCNF_129
| op(e1,e1) = e3
| op(e3,e3) = e2
| definitionFOFtoCNF_121 ),
inference(conjunct,[],[normalize_14_80]) ).
fof(normalize_14_82,plain,
( ( op(e2,e4) != e2
| op(e3,e2) != e3
| definitionFOFtoCNF_128 )
& ( op(e2,e4) != e2
| op(e2,e2) = e3
| definitionFOFtoCNF_128 )
& ( op(e2,e4) != e2
| op(e3,e3) = e2
| definitionFOFtoCNF_128 )
& ( op(e3,e2) != e3
| op(e2,e2) = e4
| definitionFOFtoCNF_128 )
& ( op(e3,e2) != e3
| op(e4,e4) = e2
| definitionFOFtoCNF_128 )
& ( op(e2,e2) = e3
| op(e2,e2) = e4
| definitionFOFtoCNF_128 )
& ( op(e2,e2) = e3
| op(e4,e4) = e2
| definitionFOFtoCNF_128 )
& ( op(e2,e2) = e4
| op(e3,e3) = e2
| definitionFOFtoCNF_128 )
& ( op(e3,e3) = e2
| op(e4,e4) = e2
| definitionFOFtoCNF_128 )
& ( op(e2,e2) != e3
| op(e3,e3) != e2
| ~ definitionFOFtoCNF_128
| op(e3,e2) = e3 )
& ( op(e2,e2) != e4
| op(e4,e4) != e2
| ~ definitionFOFtoCNF_128
| op(e2,e4) = e2 ) ),
inference(clausify,[],[normalize_14_64]) ).
fof(normalize_14_83,plain,
( op(e3,e3) = e2
| op(e4,e4) = e2
| definitionFOFtoCNF_128 ),
inference(conjunct,[],[normalize_14_82]) ).
fof(normalize_14_84,plain,
op(e3,e3) != op(e3,e4),
inference(conjunct,[],[normalize_14_2]) ).
fof(normalize_14_85,plain,
op(e0,e3) != op(e3,e3),
inference(conjunct,[],[normalize_14_2]) ).
fof(normalize_14_86,plain,
( ( op(e3,e0) != e3
| definitionFOFtoCNF_129 )
& ( op(e0,e0) = e3
| definitionFOFtoCNF_129 )
& ( op(e3,e3) = e0
| definitionFOFtoCNF_129 )
& ( op(e0,e0) != e3
| op(e3,e3) != e0
| ~ definitionFOFtoCNF_129
| op(e3,e0) = e3 ) ),
inference(clausify,[],[normalize_14_66]) ).
fof(normalize_14_87,plain,
( op(e3,e3) = e0
| definitionFOFtoCNF_129 ),
inference(conjunct,[],[normalize_14_86]) ).
fof(normalize_14_88,plain,
( definitionFOFtoCNF_121
| definitionFOFtoCNF_122 ),
inference(conjunct,[],[normalize_14_38]) ).
fof(normalize_14_89,plain,
( ( ~ definitionFOFtoCNF_122
| definitionFOFtoCNF_123 )
& ( ~ definitionFOFtoCNF_122
| definitionFOFtoCNF_124 )
& ( op(e0,e0) != e2
| op(e2,e2) != e0
| ~ definitionFOFtoCNF_122
| op(e2,e0) = e2 )
& ( op(e0,e0) != e3
| op(e3,e3) != e0
| ~ definitionFOFtoCNF_122
| op(e0,e3) = e0 )
& ( op(e0,e3) != e0
| op(e2,e0) != e2
| ~ definitionFOFtoCNF_123
| ~ definitionFOFtoCNF_124
| definitionFOFtoCNF_122 )
& ( op(e0,e3) != e0
| ~ definitionFOFtoCNF_123
| ~ definitionFOFtoCNF_124
| op(e0,e0) = e2
| definitionFOFtoCNF_122 )
& ( op(e0,e3) != e0
| ~ definitionFOFtoCNF_123
| ~ definitionFOFtoCNF_124
| op(e2,e2) = e0
| definitionFOFtoCNF_122 )
& ( op(e2,e0) != e2
| ~ definitionFOFtoCNF_123
| ~ definitionFOFtoCNF_124
| op(e0,e0) = e3
| definitionFOFtoCNF_122 )
& ( op(e2,e0) != e2
| ~ definitionFOFtoCNF_123
| ~ definitionFOFtoCNF_124
| op(e3,e3) = e0
| definitionFOFtoCNF_122 )
& ( ~ definitionFOFtoCNF_123
| ~ definitionFOFtoCNF_124
| op(e0,e0) = e2
| op(e0,e0) = e3
| definitionFOFtoCNF_122 )
& ( ~ definitionFOFtoCNF_123
| ~ definitionFOFtoCNF_124
| op(e0,e0) = e2
| op(e3,e3) = e0
| definitionFOFtoCNF_122 )
& ( ~ definitionFOFtoCNF_123
| ~ definitionFOFtoCNF_124
| op(e0,e0) = e3
| op(e2,e2) = e0
| definitionFOFtoCNF_122 )
& ( ~ definitionFOFtoCNF_123
| ~ definitionFOFtoCNF_124
| op(e2,e2) = e0
| op(e3,e3) = e0
| definitionFOFtoCNF_122 ) ),
inference(clausify,[],[normalize_14_32]) ).
fof(normalize_14_90,plain,
( op(e0,e0) != e3
| op(e3,e3) != e0
| ~ definitionFOFtoCNF_122
| op(e0,e3) = e0 ),
inference(conjunct,[],[normalize_14_89]) ).
fof(normalize_14_91,plain,
( op(e0,e0) = e3
| definitionFOFtoCNF_129 ),
inference(conjunct,[],[normalize_14_86]) ).
fof(normalize_14_92,plain,
( op(e2,e0) != e2
| ~ definitionFOFtoCNF_123
| ~ definitionFOFtoCNF_124
| op(e0,e0) = e3
| definitionFOFtoCNF_122 ),
inference(conjunct,[],[normalize_14_89]) ).
fof(normalize_14_93,plain,
( ( op(e0,e0) = e1
| definitionFOFtoCNF_123 )
& ( op(e1,e1) = e0
| definitionFOFtoCNF_123 )
& ( op(e0,e1) != e0
| op(e1,e0) != e1
| definitionFOFtoCNF_123 )
& ( op(e0,e1) != e0
| op(e0,e0) = e1
| definitionFOFtoCNF_123 )
& ( op(e0,e1) != e0
| op(e1,e1) = e0
| definitionFOFtoCNF_123 )
& ( op(e1,e0) != e1
| op(e0,e0) = e1
| definitionFOFtoCNF_123 )
& ( op(e1,e0) != e1
| op(e1,e1) = e0
| definitionFOFtoCNF_123 )
& ( op(e0,e0) = e1
| op(e1,e1) = e0
| definitionFOFtoCNF_123 )
& ( op(e0,e0) != e1
| op(e1,e1) != e0
| ~ definitionFOFtoCNF_123
| op(e0,e1) = e0 )
& ( op(e0,e0) != e1
| op(e1,e1) != e0
| ~ definitionFOFtoCNF_123
| op(e1,e0) = e1 ) ),
inference(clausify,[],[normalize_14_29]) ).
fof(normalize_14_94,plain,
( op(e1,e1) = e0
| definitionFOFtoCNF_123 ),
inference(conjunct,[],[normalize_14_93]) ).
fof(normalize_14_95,plain,
op(e1,e1) != op(e1,e4),
inference(conjunct,[],[normalize_14_2]) ).
fof(normalize_14_96,plain,
op(e0,unit) = e0,
inference(conjunct,[],[normalize_14_11]) ).
fof(normalize_14_97,plain,
op(e0,e0) != op(e0,e2),
inference(conjunct,[],[normalize_14_2]) ).
fof(normalize_14_98,plain,
( ( op(e0,e2) != e0
| definitionFOFtoCNF_124 )
& ( op(e0,e0) = e2
| definitionFOFtoCNF_124 )
& ( op(e2,e2) = e0
| definitionFOFtoCNF_124 )
& ( op(e0,e0) != e2
| op(e2,e2) != e0
| ~ definitionFOFtoCNF_124
| op(e0,e2) = e0 ) ),
inference(clausify,[],[normalize_14_31]) ).
fof(normalize_14_99,plain,
( op(e0,e0) = e2
| definitionFOFtoCNF_124 ),
inference(conjunct,[],[normalize_14_98]) ).
fof(normalize_14_100,plain,
e0 != e3,
inference(conjunct,[],[normalize_14_18]) ).
fof(normalize_14_101,plain,
op(e3,e2) != op(e3,e4),
inference(conjunct,[],[normalize_14_2]) ).
fof(normalize_14_102,plain,
op(e3,e0) != op(e3,e2),
inference(conjunct,[],[normalize_14_2]) ).
fof(normalize_14_103,plain,
op(e3,unit) = e3,
inference(conjunct,[],[normalize_14_11]) ).
fof(normalize_14_104,plain,
op(op(e2,e4),e2) != e4,
inference(conjunct,[],[normalize_14_13]) ).
fof(normalize_14_105,plain,
( op(e2,e4) = e0
| op(e2,e4) = e1
| op(e2,e4) = e2
| op(e2,e4) = e3
| op(e2,e4) = e4 ),
inference(conjunct,[],[normalize_14_0]) ).
fof(normalize_14_106,plain,
op(e2,e4) != op(e4,e4),
inference(conjunct,[],[normalize_14_2]) ).
fof(normalize_14_107,plain,
op(e1,e4) != op(e2,e4),
inference(conjunct,[],[normalize_14_2]) ).
fof(normalize_14_108,plain,
op(e2,e4) != op(e3,e4),
inference(conjunct,[],[normalize_14_2]) ).
fof(normalize_14_109,plain,
op(e0,e4) != op(e2,e4),
inference(conjunct,[],[normalize_14_2]) ).
cnf(refute_14_0,plain,
( op(e3,e2) = e0
| op(e3,e2) = e1
| op(e3,e2) = e2
| op(e3,e2) = e3
| op(e3,e2) = e4 ),
inference(canonicalize,[],[normalize_14_1]) ).
cnf(refute_14_1,plain,
op(e3,e2) != op(e4,e2),
inference(canonicalize,[],[normalize_14_3]) ).
cnf(refute_14_2,plain,
op(e0,e2) != op(e4,e2),
inference(canonicalize,[],[normalize_14_4]) ).
cnf(refute_14_3,plain,
( op(e4,e2) = e0
| op(e4,e2) = e1
| op(e4,e2) = e2
| op(e4,e2) = e3
| op(e4,e2) = e4 ),
inference(canonicalize,[],[normalize_14_5]) ).
cnf(refute_14_4,plain,
op(e4,e2) != op(e4,e4),
inference(canonicalize,[],[normalize_14_6]) ).
cnf(refute_14_5,plain,
e1 = op(e4,e4),
inference(canonicalize,[],[normalize_14_8]) ).
cnf(refute_14_6,plain,
X = X,
introduced(tautology,[refl,[$fot(X)]]) ).
cnf(refute_14_7,plain,
( X != X
| X != Y
| Y = X ),
introduced(tautology,[equality,[$cnf( $equal(X,X) ),[0],$fot(Y)]]) ).
cnf(refute_14_8,plain,
( X != Y
| Y = X ),
inference(resolve,[$cnf( $equal(X,X) )],[refute_14_6,refute_14_7]) ).
cnf(refute_14_9,plain,
( e1 != op(e4,e4)
| op(e4,e4) = e1 ),
inference(subst,[],[refute_14_8:[bind(X,$fot(e1)),bind(Y,$fot(op(e4,e4)))]]) ).
cnf(refute_14_10,plain,
op(e4,e4) = e1,
inference(resolve,[$cnf( $equal(e1,op(e4,e4)) )],[refute_14_5,refute_14_9]) ).
cnf(refute_14_11,plain,
( op(e4,e2) != e1
| op(e4,e4) != e1
| op(e4,e2) = op(e4,e4) ),
introduced(tautology,[equality,[$cnf( ~ $equal(op(e4,e2),op(e4,e4)) ),[1],$fot(e1)]]) ).
cnf(refute_14_12,plain,
( op(e4,e2) != e1
| op(e4,e2) = op(e4,e4) ),
inference(resolve,[$cnf( $equal(op(e4,e4),e1) )],[refute_14_10,refute_14_11]) ).
cnf(refute_14_13,plain,
op(e4,e2) != e1,
inference(resolve,[$cnf( $equal(op(e4,e2),op(e4,e4)) )],[refute_14_12,refute_14_4]) ).
cnf(refute_14_14,plain,
( op(e4,e2) = e0
| op(e4,e2) = e2
| op(e4,e2) = e3
| op(e4,e2) = e4 ),
inference(resolve,[$cnf( $equal(op(e4,e2),e1) )],[refute_14_3,refute_14_13]) ).
cnf(refute_14_15,plain,
op(e4,e1) != op(e4,e2),
inference(canonicalize,[],[normalize_14_9]) ).
cnf(refute_14_16,plain,
e3 = op(e4,op(e4,e4)),
inference(canonicalize,[],[normalize_14_10]) ).
cnf(refute_14_17,plain,
op(e4,op(e4,e4)) = op(e4,op(e4,e4)),
introduced(tautology,[refl,[$fot(op(e4,op(e4,e4)))]]) ).
cnf(refute_14_18,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_14_19,plain,
( op(e4,e4) != e1
| op(e4,op(e4,e4)) = op(e4,e1) ),
inference(resolve,[$cnf( $equal(op(e4,op(e4,e4)),op(e4,op(e4,e4))) )],[refute_14_17,refute_14_18]) ).
cnf(refute_14_20,plain,
op(e4,op(e4,e4)) = op(e4,e1),
inference(resolve,[$cnf( $equal(op(e4,e4),e1) )],[refute_14_10,refute_14_19]) ).
cnf(refute_14_21,plain,
( e3 != op(e4,op(e4,e4))
| op(e4,op(e4,e4)) != op(e4,e1)
| e3 = op(e4,e1) ),
introduced(tautology,[equality,[$cnf( ~ $equal(e3,op(e4,e1)) ),[0],$fot(op(e4,op(e4,e4)))]]) ).
cnf(refute_14_22,plain,
( e3 != op(e4,op(e4,e4))
| e3 = op(e4,e1) ),
inference(resolve,[$cnf( $equal(op(e4,op(e4,e4)),op(e4,e1)) )],[refute_14_20,refute_14_21]) ).
cnf(refute_14_23,plain,
e3 = op(e4,e1),
inference(resolve,[$cnf( $equal(e3,op(e4,op(e4,e4))) )],[refute_14_16,refute_14_22]) ).
cnf(refute_14_24,plain,
( e3 != op(e4,e1)
| op(e4,e1) = e3 ),
inference(subst,[],[refute_14_8:[bind(X,$fot(e3)),bind(Y,$fot(op(e4,e1)))]]) ).
cnf(refute_14_25,plain,
op(e4,e1) = e3,
inference(resolve,[$cnf( $equal(e3,op(e4,e1)) )],[refute_14_23,refute_14_24]) ).
cnf(refute_14_26,plain,
( e3 != op(e4,e2)
| op(e4,e1) != e3
| op(e4,e1) = op(e4,e2) ),
introduced(tautology,[equality,[$cnf( $equal(op(e4,e1),e3) ),[1],$fot(op(e4,e2))]]) ).
cnf(refute_14_27,plain,
( e3 != op(e4,e2)
| op(e4,e1) = op(e4,e2) ),
inference(resolve,[$cnf( $equal(op(e4,e1),e3) )],[refute_14_25,refute_14_26]) ).
cnf(refute_14_28,plain,
e3 != op(e4,e2),
inference(resolve,[$cnf( $equal(op(e4,e1),op(e4,e2)) )],[refute_14_27,refute_14_15]) ).
cnf(refute_14_29,plain,
( op(e4,e2) != e3
| e3 = op(e4,e2) ),
inference(subst,[],[refute_14_8:[bind(X,$fot(op(e4,e2))),bind(Y,$fot(e3))]]) ).
cnf(refute_14_30,plain,
op(e4,e2) != e3,
inference(resolve,[$cnf( $equal(e3,op(e4,e2)) )],[refute_14_29,refute_14_28]) ).
cnf(refute_14_31,plain,
( op(e4,e2) = e0
| op(e4,e2) = e2
| op(e4,e2) = e4 ),
inference(resolve,[$cnf( $equal(op(e4,e2),e3) )],[refute_14_14,refute_14_30]) ).
cnf(refute_14_32,plain,
( op(e0,e2) != e2
| op(e4,e2) != e2
| op(e0,e2) = op(e4,e2) ),
introduced(tautology,[equality,[$cnf( ~ $equal(op(e0,e2),op(e4,e2)) ),[1],$fot(e2)]]) ).
cnf(refute_14_33,plain,
( op(e0,e2) != e2
| op(e0,e2) = op(e4,e2)
| op(e4,e2) = e0
| op(e4,e2) = e4 ),
inference(resolve,[$cnf( $equal(op(e4,e2),e2) )],[refute_14_31,refute_14_32]) ).
cnf(refute_14_34,plain,
( op(e0,e2) != e2
| op(e4,e2) = e0
| op(e4,e2) = e4 ),
inference(resolve,[$cnf( $equal(op(e0,e2),op(e4,e2)) )],[refute_14_33,refute_14_2]) ).
cnf(refute_14_35,plain,
op(unit,e2) = e2,
inference(canonicalize,[],[normalize_14_12]) ).
cnf(refute_14_36,plain,
op(op(e2,e4),e4) = e2,
inference(canonicalize,[],[normalize_14_14]) ).
cnf(refute_14_37,plain,
op(unit,e4) = e4,
inference(canonicalize,[],[normalize_14_15]) ).
cnf(refute_14_38,plain,
( unit = e0
| unit = e1
| unit = e2
| unit = e3
| unit = e4 ),
inference(canonicalize,[],[normalize_14_16]) ).
cnf(refute_14_39,plain,
( op(unit,e4) != e4
| unit != e1
| op(e1,e4) = e4 ),
introduced(tautology,[equality,[$cnf( $equal(op(unit,e4),e4) ),[0,0],$fot(e1)]]) ).
cnf(refute_14_40,plain,
( op(unit,e4) != e4
| op(e1,e4) = e4
| unit = e0
| unit = e2
| unit = e3
| unit = e4 ),
inference(resolve,[$cnf( $equal(unit,e1) )],[refute_14_38,refute_14_39]) ).
cnf(refute_14_41,plain,
( op(e1,e4) = e4
| unit = e0
| unit = e2
| unit = e3
| unit = e4 ),
inference(resolve,[$cnf( $equal(op(unit,e4),e4) )],[refute_14_37,refute_14_40]) ).
cnf(refute_14_42,plain,
e0 = op(op(e4,e4),e4),
inference(canonicalize,[],[normalize_14_17]) ).
cnf(refute_14_43,plain,
op(op(e4,e4),e4) = op(op(e4,e4),e4),
introduced(tautology,[refl,[$fot(op(op(e4,e4),e4))]]) ).
cnf(refute_14_44,plain,
( op(e4,e4) != e1
| op(op(e4,e4),e4) != op(op(e4,e4),e4)
| op(op(e4,e4),e4) = op(e1,e4) ),
introduced(tautology,[equality,[$cnf( $equal(op(op(e4,e4),e4),op(op(e4,e4),e4)) ),[1,0],$fot(e1)]]) ).
cnf(refute_14_45,plain,
( op(e4,e4) != e1
| op(op(e4,e4),e4) = op(e1,e4) ),
inference(resolve,[$cnf( $equal(op(op(e4,e4),e4),op(op(e4,e4),e4)) )],[refute_14_43,refute_14_44]) ).
cnf(refute_14_46,plain,
op(op(e4,e4),e4) = op(e1,e4),
inference(resolve,[$cnf( $equal(op(e4,e4),e1) )],[refute_14_10,refute_14_45]) ).
cnf(refute_14_47,plain,
( e0 != op(op(e4,e4),e4)
| op(op(e4,e4),e4) != op(e1,e4)
| e0 = op(e1,e4) ),
introduced(tautology,[equality,[$cnf( ~ $equal(e0,op(e1,e4)) ),[0],$fot(op(op(e4,e4),e4))]]) ).
cnf(refute_14_48,plain,
( e0 != op(op(e4,e4),e4)
| e0 = op(e1,e4) ),
inference(resolve,[$cnf( $equal(op(op(e4,e4),e4),op(e1,e4)) )],[refute_14_46,refute_14_47]) ).
cnf(refute_14_49,plain,
e0 = op(e1,e4),
inference(resolve,[$cnf( $equal(e0,op(op(e4,e4),e4)) )],[refute_14_42,refute_14_48]) ).
cnf(refute_14_50,plain,
( e0 != op(e1,e4)
| op(e1,e4) = e0 ),
inference(subst,[],[refute_14_8:[bind(X,$fot(e0)),bind(Y,$fot(op(e1,e4)))]]) ).
cnf(refute_14_51,plain,
op(e1,e4) = e0,
inference(resolve,[$cnf( $equal(e0,op(e1,e4)) )],[refute_14_49,refute_14_50]) ).
cnf(refute_14_52,plain,
( op(e1,e4) != e0
| op(e1,e4) != e4
| e0 = e4 ),
introduced(tautology,[equality,[$cnf( $equal(op(e1,e4),e4) ),[0],$fot(e0)]]) ).
cnf(refute_14_53,plain,
( op(e1,e4) != e4
| e0 = e4 ),
inference(resolve,[$cnf( $equal(op(e1,e4),e0) )],[refute_14_51,refute_14_52]) ).
cnf(refute_14_54,plain,
( e0 = e4
| unit = e0
| unit = e2
| unit = e3
| unit = e4 ),
inference(resolve,[$cnf( $equal(op(e1,e4),e4) )],[refute_14_41,refute_14_53]) ).
cnf(refute_14_55,plain,
e0 != e4,
inference(canonicalize,[],[normalize_14_19]) ).
cnf(refute_14_56,plain,
( unit = e0
| unit = e2
| unit = e3
| unit = e4 ),
inference(resolve,[$cnf( $equal(e0,e4) )],[refute_14_54,refute_14_55]) ).
cnf(refute_14_57,plain,
( op(unit,e4) != e4
| unit != e3
| op(e3,e4) = e4 ),
introduced(tautology,[equality,[$cnf( $equal(op(unit,e4),e4) ),[0,0],$fot(e3)]]) ).
cnf(refute_14_58,plain,
( op(unit,e4) != e4
| op(e3,e4) = e4
| unit = e0
| unit = e2
| unit = e4 ),
inference(resolve,[$cnf( $equal(unit,e3) )],[refute_14_56,refute_14_57]) ).
cnf(refute_14_59,plain,
( op(e3,e4) = e4
| unit = e0
| unit = e2
| unit = e4 ),
inference(resolve,[$cnf( $equal(op(unit,e4),e4) )],[refute_14_37,refute_14_58]) ).
cnf(refute_14_60,plain,
e2 = op(op(e4,op(e4,e4)),e4),
inference(canonicalize,[],[normalize_14_20]) ).
cnf(refute_14_61,plain,
op(op(e4,op(e4,e4)),e4) = op(op(e4,op(e4,e4)),e4),
introduced(tautology,[refl,[$fot(op(op(e4,op(e4,e4)),e4))]]) ).
cnf(refute_14_62,plain,
( op(e4,op(e4,e4)) != op(e4,e1)
| op(op(e4,op(e4,e4)),e4) != op(op(e4,op(e4,e4)),e4)
| op(op(e4,op(e4,e4)),e4) = op(op(e4,e1),e4) ),
introduced(tautology,[equality,[$cnf( $equal(op(op(e4,op(e4,e4)),e4),op(op(e4,op(e4,e4)),e4)) ),[1,0],$fot(op(e4,e1))]]) ).
cnf(refute_14_63,plain,
( op(e4,op(e4,e4)) != op(e4,e1)
| op(op(e4,op(e4,e4)),e4) = op(op(e4,e1),e4) ),
inference(resolve,[$cnf( $equal(op(op(e4,op(e4,e4)),e4),op(op(e4,op(e4,e4)),e4)) )],[refute_14_61,refute_14_62]) ).
cnf(refute_14_64,plain,
op(op(e4,op(e4,e4)),e4) = op(op(e4,e1),e4),
inference(resolve,[$cnf( $equal(op(e4,op(e4,e4)),op(e4,e1)) )],[refute_14_20,refute_14_63]) ).
cnf(refute_14_65,plain,
( e2 != op(op(e4,op(e4,e4)),e4)
| op(op(e4,op(e4,e4)),e4) != op(op(e4,e1),e4)
| e2 = op(op(e4,e1),e4) ),
introduced(tautology,[equality,[$cnf( ~ $equal(e2,op(op(e4,e1),e4)) ),[0],$fot(op(op(e4,op(e4,e4)),e4))]]) ).
cnf(refute_14_66,plain,
( e2 != op(op(e4,op(e4,e4)),e4)
| e2 = op(op(e4,e1),e4) ),
inference(resolve,[$cnf( $equal(op(op(e4,op(e4,e4)),e4),op(op(e4,e1),e4)) )],[refute_14_64,refute_14_65]) ).
cnf(refute_14_67,plain,
e2 = op(op(e4,e1),e4),
inference(resolve,[$cnf( $equal(e2,op(op(e4,op(e4,e4)),e4)) )],[refute_14_60,refute_14_66]) ).
cnf(refute_14_68,plain,
op(op(e4,e1),e4) = op(op(e4,e1),e4),
introduced(tautology,[refl,[$fot(op(op(e4,e1),e4))]]) ).
cnf(refute_14_69,plain,
( op(e4,e1) != e3
| op(op(e4,e1),e4) != op(op(e4,e1),e4)
| op(op(e4,e1),e4) = op(e3,e4) ),
introduced(tautology,[equality,[$cnf( $equal(op(op(e4,e1),e4),op(op(e4,e1),e4)) ),[1,0],$fot(e3)]]) ).
cnf(refute_14_70,plain,
( op(e4,e1) != e3
| op(op(e4,e1),e4) = op(e3,e4) ),
inference(resolve,[$cnf( $equal(op(op(e4,e1),e4),op(op(e4,e1),e4)) )],[refute_14_68,refute_14_69]) ).
cnf(refute_14_71,plain,
op(op(e4,e1),e4) = op(e3,e4),
inference(resolve,[$cnf( $equal(op(e4,e1),e3) )],[refute_14_25,refute_14_70]) ).
cnf(refute_14_72,plain,
( e2 != op(op(e4,e1),e4)
| op(op(e4,e1),e4) != op(e3,e4)
| e2 = op(e3,e4) ),
introduced(tautology,[equality,[$cnf( ~ $equal(e2,op(e3,e4)) ),[0],$fot(op(op(e4,e1),e4))]]) ).
cnf(refute_14_73,plain,
( e2 != op(op(e4,e1),e4)
| e2 = op(e3,e4) ),
inference(resolve,[$cnf( $equal(op(op(e4,e1),e4),op(e3,e4)) )],[refute_14_71,refute_14_72]) ).
cnf(refute_14_74,plain,
e2 = op(e3,e4),
inference(resolve,[$cnf( $equal(e2,op(op(e4,e1),e4)) )],[refute_14_67,refute_14_73]) ).
cnf(refute_14_75,plain,
( e2 != op(e3,e4)
| op(e3,e4) = e2 ),
inference(subst,[],[refute_14_8:[bind(X,$fot(e2)),bind(Y,$fot(op(e3,e4)))]]) ).
cnf(refute_14_76,plain,
op(e3,e4) = e2,
inference(resolve,[$cnf( $equal(e2,op(e3,e4)) )],[refute_14_74,refute_14_75]) ).
cnf(refute_14_77,plain,
( op(e3,e4) != e2
| op(e3,e4) != e4
| e2 = e4 ),
introduced(tautology,[equality,[$cnf( $equal(op(e3,e4),e4) ),[0],$fot(e2)]]) ).
cnf(refute_14_78,plain,
( op(e3,e4) != e4
| e2 = e4 ),
inference(resolve,[$cnf( $equal(op(e3,e4),e2) )],[refute_14_76,refute_14_77]) ).
cnf(refute_14_79,plain,
( e2 = e4
| unit = e0
| unit = e2
| unit = e4 ),
inference(resolve,[$cnf( $equal(op(e3,e4),e4) )],[refute_14_59,refute_14_78]) ).
cnf(refute_14_80,plain,
e2 != e4,
inference(canonicalize,[],[normalize_14_21]) ).
cnf(refute_14_81,plain,
( unit = e0
| unit = e2
| unit = e4 ),
inference(resolve,[$cnf( $equal(e2,e4) )],[refute_14_79,refute_14_80]) ).
cnf(refute_14_82,plain,
( op(unit,e4) != e4
| unit != e4
| op(e4,e4) = e4 ),
introduced(tautology,[equality,[$cnf( $equal(op(unit,e4),e4) ),[0,0],$fot(e4)]]) ).
cnf(refute_14_83,plain,
( op(unit,e4) != e4
| op(e4,e4) = e4
| unit = e0
| unit = e2 ),
inference(resolve,[$cnf( $equal(unit,e4) )],[refute_14_81,refute_14_82]) ).
cnf(refute_14_84,plain,
( op(e4,e4) = e4
| unit = e0
| unit = e2 ),
inference(resolve,[$cnf( $equal(op(unit,e4),e4) )],[refute_14_37,refute_14_83]) ).
cnf(refute_14_85,plain,
( op(e4,e4) != e1
| op(e4,e4) != e4
| e1 = e4 ),
introduced(tautology,[equality,[$cnf( $equal(op(e4,e4),e4) ),[0],$fot(e1)]]) ).
cnf(refute_14_86,plain,
( op(e4,e4) != e4
| e1 = e4 ),
inference(resolve,[$cnf( $equal(op(e4,e4),e1) )],[refute_14_10,refute_14_85]) ).
cnf(refute_14_87,plain,
( e1 = e4
| unit = e0
| unit = e2 ),
inference(resolve,[$cnf( $equal(op(e4,e4),e4) )],[refute_14_84,refute_14_86]) ).
cnf(refute_14_88,plain,
e1 != e4,
inference(canonicalize,[],[normalize_14_22]) ).
cnf(refute_14_89,plain,
( unit = e0
| unit = e2 ),
inference(resolve,[$cnf( $equal(e1,e4) )],[refute_14_87,refute_14_88]) ).
cnf(refute_14_90,plain,
( op(unit,e4) != e4
| unit != e2
| op(e2,e4) = e4 ),
introduced(tautology,[equality,[$cnf( $equal(op(unit,e4),e4) ),[0,0],$fot(e2)]]) ).
cnf(refute_14_91,plain,
( op(unit,e4) != e4
| op(e2,e4) = e4
| unit = e0 ),
inference(resolve,[$cnf( $equal(unit,e2) )],[refute_14_89,refute_14_90]) ).
cnf(refute_14_92,plain,
( op(e2,e4) = e4
| unit = e0 ),
inference(resolve,[$cnf( $equal(op(unit,e4),e4) )],[refute_14_37,refute_14_91]) ).
cnf(refute_14_93,plain,
( op(e2,e4) != e4
| op(op(e2,e4),e4) != e2
| op(e4,e4) = e2 ),
introduced(tautology,[equality,[$cnf( $equal(op(op(e2,e4),e4),e2) ),[0,0],$fot(e4)]]) ).
cnf(refute_14_94,plain,
( op(op(e2,e4),e4) != e2
| op(e4,e4) = e2
| unit = e0 ),
inference(resolve,[$cnf( $equal(op(e2,e4),e4) )],[refute_14_92,refute_14_93]) ).
cnf(refute_14_95,plain,
( op(e4,e4) = e2
| unit = e0 ),
inference(resolve,[$cnf( $equal(op(op(e2,e4),e4),e2) )],[refute_14_36,refute_14_94]) ).
cnf(refute_14_96,plain,
( op(e4,e4) != e1
| op(e4,e4) != e2
| e1 = e2 ),
introduced(tautology,[equality,[$cnf( $equal(op(e4,e4),e2) ),[0],$fot(e1)]]) ).
cnf(refute_14_97,plain,
( op(e4,e4) != e2
| e1 = e2 ),
inference(resolve,[$cnf( $equal(op(e4,e4),e1) )],[refute_14_10,refute_14_96]) ).
cnf(refute_14_98,plain,
( e1 = e2
| unit = e0 ),
inference(resolve,[$cnf( $equal(op(e4,e4),e2) )],[refute_14_95,refute_14_97]) ).
cnf(refute_14_99,plain,
e1 != e2,
inference(canonicalize,[],[normalize_14_23]) ).
cnf(refute_14_100,plain,
unit = e0,
inference(resolve,[$cnf( $equal(e1,e2) )],[refute_14_98,refute_14_99]) ).
cnf(refute_14_101,plain,
op(unit,e2) = op(unit,e2),
introduced(tautology,[refl,[$fot(op(unit,e2))]]) ).
cnf(refute_14_102,plain,
( op(unit,e2) != op(unit,e2)
| unit != e0
| op(unit,e2) = op(e0,e2) ),
introduced(tautology,[equality,[$cnf( $equal(op(unit,e2),op(unit,e2)) ),[1,0],$fot(e0)]]) ).
cnf(refute_14_103,plain,
( unit != e0
| op(unit,e2) = op(e0,e2) ),
inference(resolve,[$cnf( $equal(op(unit,e2),op(unit,e2)) )],[refute_14_101,refute_14_102]) ).
cnf(refute_14_104,plain,
op(unit,e2) = op(e0,e2),
inference(resolve,[$cnf( $equal(unit,e0) )],[refute_14_100,refute_14_103]) ).
cnf(refute_14_105,plain,
( op(unit,e2) != e2
| op(unit,e2) != op(e0,e2)
| op(e0,e2) = e2 ),
introduced(tautology,[equality,[$cnf( $equal(op(unit,e2),e2) ),[0],$fot(op(e0,e2))]]) ).
cnf(refute_14_106,plain,
( op(unit,e2) != e2
| op(e0,e2) = e2 ),
inference(resolve,[$cnf( $equal(op(unit,e2),op(e0,e2)) )],[refute_14_104,refute_14_105]) ).
cnf(refute_14_107,plain,
op(e0,e2) = e2,
inference(resolve,[$cnf( $equal(op(unit,e2),e2) )],[refute_14_35,refute_14_106]) ).
cnf(refute_14_108,plain,
( e2 != e2
| op(e0,e2) != e2
| op(e0,e2) = e2 ),
introduced(tautology,[equality,[$cnf( $equal(op(e0,e2),e2) ),[0,1],$fot(e2)]]) ).
cnf(refute_14_109,plain,
( e2 != e2
| op(e0,e2) = e2 ),
inference(resolve,[$cnf( $equal(op(e0,e2),e2) )],[refute_14_107,refute_14_108]) ).
cnf(refute_14_110,plain,
( e2 != e2
| op(e4,e2) = e0
| op(e4,e2) = e4 ),
inference(resolve,[$cnf( $equal(op(e0,e2),e2) )],[refute_14_109,refute_14_34]) ).
cnf(refute_14_111,plain,
e2 = e2,
introduced(tautology,[refl,[$fot(e2)]]) ).
cnf(refute_14_112,plain,
( op(e4,e2) = e0
| op(e4,e2) = e4 ),
inference(resolve,[$cnf( $equal(e2,e2) )],[refute_14_111,refute_14_110]) ).
cnf(refute_14_113,plain,
op(e4,e0) != op(e4,e2),
inference(canonicalize,[],[normalize_14_24]) ).
cnf(refute_14_114,plain,
op(e4,unit) = e4,
inference(canonicalize,[],[normalize_14_25]) ).
cnf(refute_14_115,plain,
op(e4,unit) = op(e4,unit),
introduced(tautology,[refl,[$fot(op(e4,unit))]]) ).
cnf(refute_14_116,plain,
( op(e4,unit) != op(e4,unit)
| unit != e0
| op(e4,unit) = op(e4,e0) ),
introduced(tautology,[equality,[$cnf( $equal(op(e4,unit),op(e4,unit)) ),[1,1],$fot(e0)]]) ).
cnf(refute_14_117,plain,
( unit != e0
| op(e4,unit) = op(e4,e0) ),
inference(resolve,[$cnf( $equal(op(e4,unit),op(e4,unit)) )],[refute_14_115,refute_14_116]) ).
cnf(refute_14_118,plain,
op(e4,unit) = op(e4,e0),
inference(resolve,[$cnf( $equal(unit,e0) )],[refute_14_100,refute_14_117]) ).
cnf(refute_14_119,plain,
( op(e4,unit) != e4
| op(e4,unit) != op(e4,e0)
| op(e4,e0) = e4 ),
introduced(tautology,[equality,[$cnf( $equal(op(e4,unit),e4) ),[0],$fot(op(e4,e0))]]) ).
cnf(refute_14_120,plain,
( op(e4,unit) != e4
| op(e4,e0) = e4 ),
inference(resolve,[$cnf( $equal(op(e4,unit),op(e4,e0)) )],[refute_14_118,refute_14_119]) ).
cnf(refute_14_121,plain,
op(e4,e0) = e4,
inference(resolve,[$cnf( $equal(op(e4,unit),e4) )],[refute_14_114,refute_14_120]) ).
cnf(refute_14_122,plain,
( e4 != op(e4,e2)
| op(e4,e0) != e4
| op(e4,e0) = op(e4,e2) ),
introduced(tautology,[equality,[$cnf( $equal(op(e4,e0),e4) ),[1],$fot(op(e4,e2))]]) ).
cnf(refute_14_123,plain,
( e4 != op(e4,e2)
| op(e4,e0) = op(e4,e2) ),
inference(resolve,[$cnf( $equal(op(e4,e0),e4) )],[refute_14_121,refute_14_122]) ).
cnf(refute_14_124,plain,
e4 != op(e4,e2),
inference(resolve,[$cnf( $equal(op(e4,e0),op(e4,e2)) )],[refute_14_123,refute_14_113]) ).
cnf(refute_14_125,plain,
( op(e4,e2) != e4
| e4 = op(e4,e2) ),
inference(subst,[],[refute_14_8:[bind(X,$fot(op(e4,e2))),bind(Y,$fot(e4))]]) ).
cnf(refute_14_126,plain,
op(e4,e2) != e4,
inference(resolve,[$cnf( $equal(e4,op(e4,e2)) )],[refute_14_125,refute_14_124]) ).
cnf(refute_14_127,plain,
op(e4,e2) = e0,
inference(resolve,[$cnf( $equal(op(e4,e2),e4) )],[refute_14_112,refute_14_126]) ).
cnf(refute_14_128,plain,
( op(e3,e2) != e0
| op(e4,e2) != e0
| op(e3,e2) = op(e4,e2) ),
introduced(tautology,[equality,[$cnf( ~ $equal(op(e3,e2),op(e4,e2)) ),[1],$fot(e0)]]) ).
cnf(refute_14_129,plain,
( op(e3,e2) != e0
| op(e3,e2) = op(e4,e2) ),
inference(resolve,[$cnf( $equal(op(e4,e2),e0) )],[refute_14_127,refute_14_128]) ).
cnf(refute_14_130,plain,
op(e3,e2) != e0,
inference(resolve,[$cnf( $equal(op(e3,e2),op(e4,e2)) )],[refute_14_129,refute_14_1]) ).
cnf(refute_14_131,plain,
( op(e3,e2) = e1
| op(e3,e2) = e2
| op(e3,e2) = e3
| op(e3,e2) = e4 ),
inference(resolve,[$cnf( $equal(op(e3,e2),e0) )],[refute_14_0,refute_14_130]) ).
cnf(refute_14_132,plain,
op(e2,e2) != op(e3,e2),
inference(canonicalize,[],[normalize_14_26]) ).
cnf(refute_14_133,plain,
( ~ definitionFOFtoCNF_121
| ~ definitionFOFtoCNF_122
| ~ definitionFOFtoCNF_125
| ~ definitionFOFtoCNF_126
| op(e2,e2) = e1 ),
inference(canonicalize,[],[normalize_14_39]) ).
cnf(refute_14_134,plain,
( op(e4,e4) = e0
| definitionFOFtoCNF_126 ),
inference(canonicalize,[],[normalize_14_41]) ).
cnf(refute_14_135,plain,
( op(e4,e4) != e0
| op(e4,e4) != e1
| e1 = e0 ),
introduced(tautology,[equality,[$cnf( $equal(op(e4,e4),e0) ),[0],$fot(e1)]]) ).
cnf(refute_14_136,plain,
( op(e4,e4) != e0
| e1 = e0 ),
inference(resolve,[$cnf( $equal(op(e4,e4),e1) )],[refute_14_10,refute_14_135]) ).
cnf(refute_14_137,plain,
( e1 = e0
| definitionFOFtoCNF_126 ),
inference(resolve,[$cnf( $equal(op(e4,e4),e0) )],[refute_14_134,refute_14_136]) ).
cnf(refute_14_138,plain,
e0 != e1,
inference(canonicalize,[],[normalize_14_42]) ).
cnf(refute_14_139,plain,
( e1 != e0
| e0 = e1 ),
inference(subst,[],[refute_14_8:[bind(X,$fot(e1)),bind(Y,$fot(e0))]]) ).
cnf(refute_14_140,plain,
e1 != e0,
inference(resolve,[$cnf( $equal(e0,e1) )],[refute_14_139,refute_14_138]) ).
cnf(refute_14_141,plain,
definitionFOFtoCNF_126,
inference(resolve,[$cnf( $equal(e1,e0) )],[refute_14_137,refute_14_140]) ).
cnf(refute_14_142,plain,
( ~ definitionFOFtoCNF_121
| ~ definitionFOFtoCNF_122
| ~ definitionFOFtoCNF_125
| op(e2,e2) = e1 ),
inference(resolve,[$cnf( definitionFOFtoCNF_126 )],[refute_14_141,refute_14_133]) ).
cnf(refute_14_143,plain,
op(e1,e1) != op(e3,e1),
inference(canonicalize,[],[normalize_14_43]) ).
cnf(refute_14_144,plain,
( op(e1,e1) = e3
| op(e1,e1) = e4
| definitionFOFtoCNF_125 ),
inference(canonicalize,[],[normalize_14_45]) ).
cnf(refute_14_145,plain,
op(e1,e1) != op(e4,e1),
inference(canonicalize,[],[normalize_14_46]) ).
cnf(refute_14_146,plain,
( op(e1,e1) != e3
| op(e4,e1) != e3
| op(e1,e1) = op(e4,e1) ),
introduced(tautology,[equality,[$cnf( ~ $equal(op(e1,e1),op(e4,e1)) ),[1],$fot(e3)]]) ).
cnf(refute_14_147,plain,
( op(e1,e1) != e3
| op(e1,e1) = op(e4,e1) ),
inference(resolve,[$cnf( $equal(op(e4,e1),e3) )],[refute_14_25,refute_14_146]) ).
cnf(refute_14_148,plain,
op(e1,e1) != e3,
inference(resolve,[$cnf( $equal(op(e1,e1),op(e4,e1)) )],[refute_14_147,refute_14_145]) ).
cnf(refute_14_149,plain,
( op(e1,e1) = e4
| definitionFOFtoCNF_125 ),
inference(resolve,[$cnf( $equal(op(e1,e1),e3) )],[refute_14_144,refute_14_148]) ).
cnf(refute_14_150,plain,
( e4 != op(e3,e1)
| op(e1,e1) != e4
| op(e1,e1) = op(e3,e1) ),
introduced(tautology,[equality,[$cnf( $equal(op(e1,e1),e4) ),[1],$fot(op(e3,e1))]]) ).
cnf(refute_14_151,plain,
( e4 != op(e3,e1)
| op(e1,e1) = op(e3,e1)
| definitionFOFtoCNF_125 ),
inference(resolve,[$cnf( $equal(op(e1,e1),e4) )],[refute_14_149,refute_14_150]) ).
cnf(refute_14_152,plain,
( e4 != op(e3,e1)
| definitionFOFtoCNF_125 ),
inference(resolve,[$cnf( $equal(op(e1,e1),op(e3,e1)) )],[refute_14_151,refute_14_143]) ).
cnf(refute_14_153,plain,
op(e2,e1) != op(e3,e1),
inference(canonicalize,[],[normalize_14_47]) ).
cnf(refute_14_154,plain,
op(e1,e1) != op(e2,e1),
inference(canonicalize,[],[normalize_14_48]) ).
cnf(refute_14_155,plain,
( e4 != op(e2,e1)
| op(e1,e1) != e4
| op(e1,e1) = op(e2,e1) ),
introduced(tautology,[equality,[$cnf( $equal(op(e1,e1),e4) ),[1],$fot(op(e2,e1))]]) ).
cnf(refute_14_156,plain,
( e4 != op(e2,e1)
| op(e1,e1) = op(e2,e1)
| definitionFOFtoCNF_125 ),
inference(resolve,[$cnf( $equal(op(e1,e1),e4) )],[refute_14_149,refute_14_155]) ).
cnf(refute_14_157,plain,
( e4 != op(e2,e1)
| definitionFOFtoCNF_125 ),
inference(resolve,[$cnf( $equal(op(e1,e1),op(e2,e1)) )],[refute_14_156,refute_14_154]) ).
cnf(refute_14_158,plain,
( op(e2,e1) = e0
| op(e2,e1) = e1
| op(e2,e1) = e2
| op(e2,e1) = e3
| op(e2,e1) = e4 ),
inference(canonicalize,[],[normalize_14_49]) ).
cnf(refute_14_159,plain,
op(e2,e1) != op(e4,e1),
inference(canonicalize,[],[normalize_14_50]) ).
cnf(refute_14_160,plain,
( op(e2,e1) != e3
| op(e4,e1) != e3
| op(e2,e1) = op(e4,e1) ),
introduced(tautology,[equality,[$cnf( ~ $equal(op(e2,e1),op(e4,e1)) ),[1],$fot(e3)]]) ).
cnf(refute_14_161,plain,
( op(e2,e1) != e3
| op(e2,e1) = op(e4,e1) ),
inference(resolve,[$cnf( $equal(op(e4,e1),e3) )],[refute_14_25,refute_14_160]) ).
cnf(refute_14_162,plain,
op(e2,e1) != e3,
inference(resolve,[$cnf( $equal(op(e2,e1),op(e4,e1)) )],[refute_14_161,refute_14_159]) ).
cnf(refute_14_163,plain,
( op(e2,e1) = e0
| op(e2,e1) = e1
| op(e2,e1) = e2
| op(e2,e1) = e4 ),
inference(resolve,[$cnf( $equal(op(e2,e1),e3) )],[refute_14_158,refute_14_162]) ).
cnf(refute_14_164,plain,
op(e0,e1) != op(e2,e1),
inference(canonicalize,[],[normalize_14_51]) ).
cnf(refute_14_165,plain,
op(unit,e1) = e1,
inference(canonicalize,[],[normalize_14_52]) ).
cnf(refute_14_166,plain,
op(unit,e1) = op(unit,e1),
introduced(tautology,[refl,[$fot(op(unit,e1))]]) ).
cnf(refute_14_167,plain,
( op(unit,e1) != op(unit,e1)
| unit != e0
| op(unit,e1) = op(e0,e1) ),
introduced(tautology,[equality,[$cnf( $equal(op(unit,e1),op(unit,e1)) ),[1,0],$fot(e0)]]) ).
cnf(refute_14_168,plain,
( unit != e0
| op(unit,e1) = op(e0,e1) ),
inference(resolve,[$cnf( $equal(op(unit,e1),op(unit,e1)) )],[refute_14_166,refute_14_167]) ).
cnf(refute_14_169,plain,
op(unit,e1) = op(e0,e1),
inference(resolve,[$cnf( $equal(unit,e0) )],[refute_14_100,refute_14_168]) ).
cnf(refute_14_170,plain,
( op(unit,e1) != e1
| op(unit,e1) != op(e0,e1)
| op(e0,e1) = e1 ),
introduced(tautology,[equality,[$cnf( $equal(op(unit,e1),e1) ),[0],$fot(op(e0,e1))]]) ).
cnf(refute_14_171,plain,
( op(unit,e1) != e1
| op(e0,e1) = e1 ),
inference(resolve,[$cnf( $equal(op(unit,e1),op(e0,e1)) )],[refute_14_169,refute_14_170]) ).
cnf(refute_14_172,plain,
op(e0,e1) = e1,
inference(resolve,[$cnf( $equal(op(unit,e1),e1) )],[refute_14_165,refute_14_171]) ).
cnf(refute_14_173,plain,
( e1 != op(e2,e1)
| op(e0,e1) != e1
| op(e0,e1) = op(e2,e1) ),
introduced(tautology,[equality,[$cnf( $equal(op(e0,e1),e1) ),[1],$fot(op(e2,e1))]]) ).
cnf(refute_14_174,plain,
( e1 != op(e2,e1)
| op(e0,e1) = op(e2,e1) ),
inference(resolve,[$cnf( $equal(op(e0,e1),e1) )],[refute_14_172,refute_14_173]) ).
cnf(refute_14_175,plain,
e1 != op(e2,e1),
inference(resolve,[$cnf( $equal(op(e0,e1),op(e2,e1)) )],[refute_14_174,refute_14_164]) ).
cnf(refute_14_176,plain,
( op(e2,e1) != e1
| e1 = op(e2,e1) ),
inference(subst,[],[refute_14_8:[bind(X,$fot(op(e2,e1))),bind(Y,$fot(e1))]]) ).
cnf(refute_14_177,plain,
op(e2,e1) != e1,
inference(resolve,[$cnf( $equal(e1,op(e2,e1)) )],[refute_14_176,refute_14_175]) ).
cnf(refute_14_178,plain,
( op(e2,e1) = e0
| op(e2,e1) = e2
| op(e2,e1) = e4 ),
inference(resolve,[$cnf( $equal(op(e2,e1),e1) )],[refute_14_163,refute_14_177]) ).
cnf(refute_14_179,plain,
op(e2,e0) != op(e2,e1),
inference(canonicalize,[],[normalize_14_53]) ).
cnf(refute_14_180,plain,
op(e2,unit) = e2,
inference(canonicalize,[],[normalize_14_54]) ).
cnf(refute_14_181,plain,
op(e2,unit) = op(e2,unit),
introduced(tautology,[refl,[$fot(op(e2,unit))]]) ).
cnf(refute_14_182,plain,
( op(e2,unit) != op(e2,unit)
| unit != e0
| op(e2,unit) = op(e2,e0) ),
introduced(tautology,[equality,[$cnf( $equal(op(e2,unit),op(e2,unit)) ),[1,1],$fot(e0)]]) ).
cnf(refute_14_183,plain,
( unit != e0
| op(e2,unit) = op(e2,e0) ),
inference(resolve,[$cnf( $equal(op(e2,unit),op(e2,unit)) )],[refute_14_181,refute_14_182]) ).
cnf(refute_14_184,plain,
op(e2,unit) = op(e2,e0),
inference(resolve,[$cnf( $equal(unit,e0) )],[refute_14_100,refute_14_183]) ).
cnf(refute_14_185,plain,
( op(e2,unit) != e2
| op(e2,unit) != op(e2,e0)
| op(e2,e0) = e2 ),
introduced(tautology,[equality,[$cnf( $equal(op(e2,unit),e2) ),[0],$fot(op(e2,e0))]]) ).
cnf(refute_14_186,plain,
( op(e2,unit) != e2
| op(e2,e0) = e2 ),
inference(resolve,[$cnf( $equal(op(e2,unit),op(e2,e0)) )],[refute_14_184,refute_14_185]) ).
cnf(refute_14_187,plain,
op(e2,e0) = e2,
inference(resolve,[$cnf( $equal(op(e2,unit),e2) )],[refute_14_180,refute_14_186]) ).
cnf(refute_14_188,plain,
( e2 != op(e2,e1)
| op(e2,e0) != e2
| op(e2,e0) = op(e2,e1) ),
introduced(tautology,[equality,[$cnf( $equal(op(e2,e0),e2) ),[1],$fot(op(e2,e1))]]) ).
cnf(refute_14_189,plain,
( e2 != op(e2,e1)
| op(e2,e0) = op(e2,e1) ),
inference(resolve,[$cnf( $equal(op(e2,e0),e2) )],[refute_14_187,refute_14_188]) ).
cnf(refute_14_190,plain,
e2 != op(e2,e1),
inference(resolve,[$cnf( $equal(op(e2,e0),op(e2,e1)) )],[refute_14_189,refute_14_179]) ).
cnf(refute_14_191,plain,
( op(e2,e1) != e2
| e2 = op(e2,e1) ),
inference(subst,[],[refute_14_8:[bind(X,$fot(op(e2,e1))),bind(Y,$fot(e2))]]) ).
cnf(refute_14_192,plain,
op(e2,e1) != e2,
inference(resolve,[$cnf( $equal(e2,op(e2,e1)) )],[refute_14_191,refute_14_190]) ).
cnf(refute_14_193,plain,
( op(e2,e1) = e0
| op(e2,e1) = e4 ),
inference(resolve,[$cnf( $equal(op(e2,e1),e2) )],[refute_14_178,refute_14_192]) ).
cnf(refute_14_194,plain,
( e4 != e4
| op(e2,e1) != e4
| e4 = op(e2,e1) ),
introduced(tautology,[equality,[$cnf( ~ $equal(e4,op(e2,e1)) ),[1],$fot(e4)]]) ).
cnf(refute_14_195,plain,
( e4 != e4
| e4 = op(e2,e1)
| op(e2,e1) = e0 ),
inference(resolve,[$cnf( $equal(op(e2,e1),e4) )],[refute_14_193,refute_14_194]) ).
cnf(refute_14_196,plain,
( e4 != e4
| op(e2,e1) = e0
| definitionFOFtoCNF_125 ),
inference(resolve,[$cnf( $equal(e4,op(e2,e1)) )],[refute_14_195,refute_14_157]) ).
cnf(refute_14_197,plain,
e4 = e4,
introduced(tautology,[refl,[$fot(e4)]]) ).
cnf(refute_14_198,plain,
( op(e2,e1) = e0
| definitionFOFtoCNF_125 ),
inference(resolve,[$cnf( $equal(e4,e4) )],[refute_14_197,refute_14_196]) ).
cnf(refute_14_199,plain,
( e0 != op(e3,e1)
| op(e2,e1) != e0
| op(e2,e1) = op(e3,e1) ),
introduced(tautology,[equality,[$cnf( $equal(op(e2,e1),e0) ),[1],$fot(op(e3,e1))]]) ).
cnf(refute_14_200,plain,
( e0 != op(e3,e1)
| op(e2,e1) = op(e3,e1)
| definitionFOFtoCNF_125 ),
inference(resolve,[$cnf( $equal(op(e2,e1),e0) )],[refute_14_198,refute_14_199]) ).
cnf(refute_14_201,plain,
( e0 != op(e3,e1)
| definitionFOFtoCNF_125 ),
inference(resolve,[$cnf( $equal(op(e2,e1),op(e3,e1)) )],[refute_14_200,refute_14_153]) ).
cnf(refute_14_202,plain,
( op(e3,e1) = e0
| op(e3,e1) = e1
| op(e3,e1) = e2
| op(e3,e1) = e3
| op(e3,e1) = e4 ),
inference(canonicalize,[],[normalize_14_55]) ).
cnf(refute_14_203,plain,
op(e3,e1) != op(e4,e1),
inference(canonicalize,[],[normalize_14_56]) ).
cnf(refute_14_204,plain,
( op(e3,e1) != e3
| op(e4,e1) != e3
| op(e3,e1) = op(e4,e1) ),
introduced(tautology,[equality,[$cnf( ~ $equal(op(e3,e1),op(e4,e1)) ),[1],$fot(e3)]]) ).
cnf(refute_14_205,plain,
( op(e3,e1) != e3
| op(e3,e1) = op(e4,e1) ),
inference(resolve,[$cnf( $equal(op(e4,e1),e3) )],[refute_14_25,refute_14_204]) ).
cnf(refute_14_206,plain,
op(e3,e1) != e3,
inference(resolve,[$cnf( $equal(op(e3,e1),op(e4,e1)) )],[refute_14_205,refute_14_203]) ).
cnf(refute_14_207,plain,
( op(e3,e1) = e0
| op(e3,e1) = e1
| op(e3,e1) = e2
| op(e3,e1) = e4 ),
inference(resolve,[$cnf( $equal(op(e3,e1),e3) )],[refute_14_202,refute_14_206]) ).
cnf(refute_14_208,plain,
op(e0,e1) != op(e3,e1),
inference(canonicalize,[],[normalize_14_57]) ).
cnf(refute_14_209,plain,
( e1 != op(e3,e1)
| op(e0,e1) != e1
| op(e0,e1) = op(e3,e1) ),
introduced(tautology,[equality,[$cnf( $equal(op(e0,e1),e1) ),[1],$fot(op(e3,e1))]]) ).
cnf(refute_14_210,plain,
( e1 != op(e3,e1)
| op(e0,e1) = op(e3,e1) ),
inference(resolve,[$cnf( $equal(op(e0,e1),e1) )],[refute_14_172,refute_14_209]) ).
cnf(refute_14_211,plain,
e1 != op(e3,e1),
inference(resolve,[$cnf( $equal(op(e0,e1),op(e3,e1)) )],[refute_14_210,refute_14_208]) ).
cnf(refute_14_212,plain,
( op(e3,e1) != e1
| e1 = op(e3,e1) ),
inference(subst,[],[refute_14_8:[bind(X,$fot(op(e3,e1))),bind(Y,$fot(e1))]]) ).
cnf(refute_14_213,plain,
op(e3,e1) != e1,
inference(resolve,[$cnf( $equal(e1,op(e3,e1)) )],[refute_14_212,refute_14_211]) ).
cnf(refute_14_214,plain,
( op(e3,e1) = e0
| op(e3,e1) = e2
| op(e3,e1) = e4 ),
inference(resolve,[$cnf( $equal(op(e3,e1),e1) )],[refute_14_207,refute_14_213]) ).
cnf(refute_14_215,plain,
op(e3,e1) != op(e3,e4),
inference(canonicalize,[],[normalize_14_58]) ).
cnf(refute_14_216,plain,
( op(e3,e1) != e2
| op(e3,e4) != e2
| op(e3,e1) = op(e3,e4) ),
introduced(tautology,[equality,[$cnf( ~ $equal(op(e3,e1),op(e3,e4)) ),[1],$fot(e2)]]) ).
cnf(refute_14_217,plain,
( op(e3,e1) != e2
| op(e3,e1) = op(e3,e4) ),
inference(resolve,[$cnf( $equal(op(e3,e4),e2) )],[refute_14_76,refute_14_216]) ).
cnf(refute_14_218,plain,
op(e3,e1) != e2,
inference(resolve,[$cnf( $equal(op(e3,e1),op(e3,e4)) )],[refute_14_217,refute_14_215]) ).
cnf(refute_14_219,plain,
( op(e3,e1) = e0
| op(e3,e1) = e4 ),
inference(resolve,[$cnf( $equal(op(e3,e1),e2) )],[refute_14_214,refute_14_218]) ).
cnf(refute_14_220,plain,
( e0 != e0
| op(e3,e1) != e0
| e0 = op(e3,e1) ),
introduced(tautology,[equality,[$cnf( ~ $equal(e0,op(e3,e1)) ),[1],$fot(e0)]]) ).
cnf(refute_14_221,plain,
( e0 != e0
| e0 = op(e3,e1)
| op(e3,e1) = e4 ),
inference(resolve,[$cnf( $equal(op(e3,e1),e0) )],[refute_14_219,refute_14_220]) ).
cnf(refute_14_222,plain,
( e0 != e0
| op(e3,e1) = e4
| definitionFOFtoCNF_125 ),
inference(resolve,[$cnf( $equal(e0,op(e3,e1)) )],[refute_14_221,refute_14_201]) ).
cnf(refute_14_223,plain,
e0 = e0,
introduced(tautology,[refl,[$fot(e0)]]) ).
cnf(refute_14_224,plain,
( op(e3,e1) = e4
| definitionFOFtoCNF_125 ),
inference(resolve,[$cnf( $equal(e0,e0) )],[refute_14_223,refute_14_222]) ).
cnf(refute_14_225,plain,
( e4 != e4
| op(e3,e1) != e4
| e4 = op(e3,e1) ),
introduced(tautology,[equality,[$cnf( ~ $equal(e4,op(e3,e1)) ),[1],$fot(e4)]]) ).
cnf(refute_14_226,plain,
( e4 != e4
| e4 = op(e3,e1)
| definitionFOFtoCNF_125 ),
inference(resolve,[$cnf( $equal(op(e3,e1),e4) )],[refute_14_224,refute_14_225]) ).
cnf(refute_14_227,plain,
( e4 != e4
| definitionFOFtoCNF_125 ),
inference(resolve,[$cnf( $equal(e4,op(e3,e1)) )],[refute_14_226,refute_14_152]) ).
cnf(refute_14_228,plain,
definitionFOFtoCNF_125,
inference(resolve,[$cnf( $equal(e4,e4) )],[refute_14_197,refute_14_227]) ).
cnf(refute_14_229,plain,
( ~ definitionFOFtoCNF_121
| ~ definitionFOFtoCNF_122
| op(e2,e2) = e1 ),
inference(resolve,[$cnf( definitionFOFtoCNF_125 )],[refute_14_228,refute_14_142]) ).
cnf(refute_14_230,plain,
( definitionFOFtoCNF_121
| definitionFOFtoCNF_125 ),
inference(canonicalize,[],[normalize_14_59]) ).
cnf(refute_14_231,plain,
( op(e1,e1) != e4
| op(e4,e4) != e1
| ~ definitionFOFtoCNF_125
| op(e1,e4) = e1 ),
inference(canonicalize,[],[normalize_14_60]) ).
cnf(refute_14_232,plain,
( e1 != e1
| op(e4,e4) != e1
| op(e4,e4) = e1 ),
introduced(tautology,[equality,[$cnf( $equal(op(e4,e4),e1) ),[1],$fot(e1)]]) ).
cnf(refute_14_233,plain,
( e1 != e1
| op(e4,e4) = e1 ),
inference(resolve,[$cnf( $equal(op(e4,e4),e1) )],[refute_14_10,refute_14_232]) ).
cnf(refute_14_234,plain,
( e1 != e1
| op(e1,e1) != e4
| ~ definitionFOFtoCNF_125
| op(e1,e4) = e1 ),
inference(resolve,[$cnf( $equal(op(e4,e4),e1) )],[refute_14_233,refute_14_231]) ).
cnf(refute_14_235,plain,
( op(e1,e4) != e0
| op(e1,e4) != e1
| e0 = e1 ),
introduced(tautology,[equality,[$cnf( $equal(op(e1,e4),e1) ),[0],$fot(e0)]]) ).
cnf(refute_14_236,plain,
( op(e1,e4) != e1
| e0 = e1 ),
inference(resolve,[$cnf( $equal(op(e1,e4),e0) )],[refute_14_51,refute_14_235]) ).
cnf(refute_14_237,plain,
( e1 != e1
| op(e1,e1) != e4
| ~ definitionFOFtoCNF_125
| e0 = e1 ),
inference(resolve,[$cnf( $equal(op(e1,e4),e1) )],[refute_14_234,refute_14_236]) ).
cnf(refute_14_238,plain,
e1 = e1,
introduced(tautology,[refl,[$fot(e1)]]) ).
cnf(refute_14_239,plain,
( op(e1,e1) != e4
| ~ definitionFOFtoCNF_125
| e0 = e1 ),
inference(resolve,[$cnf( $equal(e1,e1) )],[refute_14_238,refute_14_237]) ).
cnf(refute_14_240,plain,
( op(e1,e1) != e4
| ~ definitionFOFtoCNF_125 ),
inference(resolve,[$cnf( $equal(e0,e1) )],[refute_14_239,refute_14_138]) ).
cnf(refute_14_241,plain,
( op(e1,e1) = e4
| op(e4,e4) = e0
| definitionFOFtoCNF_127
| definitionFOFtoCNF_130
| definitionFOFtoCNF_131 ),
inference(canonicalize,[],[normalize_14_74]) ).
cnf(refute_14_242,plain,
( e1 = e0
| op(e1,e1) = e4
| definitionFOFtoCNF_127
| definitionFOFtoCNF_130
| definitionFOFtoCNF_131 ),
inference(resolve,[$cnf( $equal(op(e4,e4),e0) )],[refute_14_241,refute_14_136]) ).
cnf(refute_14_243,plain,
( op(e1,e1) = e4
| definitionFOFtoCNF_127
| definitionFOFtoCNF_130
| definitionFOFtoCNF_131 ),
inference(resolve,[$cnf( $equal(e1,e0) )],[refute_14_242,refute_14_140]) ).
cnf(refute_14_244,plain,
( ~ definitionFOFtoCNF_130
| op(e4,e4) = e2
| op(e4,e4) = e3 ),
inference(canonicalize,[],[normalize_14_76]) ).
cnf(refute_14_245,plain,
( ~ definitionFOFtoCNF_130
| e1 = e2
| op(e4,e4) = e3 ),
inference(resolve,[$cnf( $equal(op(e4,e4),e2) )],[refute_14_244,refute_14_97]) ).
cnf(refute_14_246,plain,
( op(e4,e4) != e1
| op(e4,e4) != e3
| e1 = e3 ),
introduced(tautology,[equality,[$cnf( $equal(op(e4,e4),e3) ),[0],$fot(e1)]]) ).
cnf(refute_14_247,plain,
( op(e4,e4) != e3
| e1 = e3 ),
inference(resolve,[$cnf( $equal(op(e4,e4),e1) )],[refute_14_10,refute_14_246]) ).
cnf(refute_14_248,plain,
( ~ definitionFOFtoCNF_130
| e1 = e2
| e1 = e3 ),
inference(resolve,[$cnf( $equal(op(e4,e4),e3) )],[refute_14_245,refute_14_247]) ).
cnf(refute_14_249,plain,
( ~ definitionFOFtoCNF_130
| e1 = e3 ),
inference(resolve,[$cnf( $equal(e1,e2) )],[refute_14_248,refute_14_99]) ).
cnf(refute_14_250,plain,
op(e4,e1) != op(e4,e4),
inference(canonicalize,[],[normalize_14_77]) ).
cnf(refute_14_251,plain,
( e3 != op(e4,e4)
| op(e4,e1) != e3
| op(e4,e1) = op(e4,e4) ),
introduced(tautology,[equality,[$cnf( $equal(op(e4,e1),e3) ),[1],$fot(op(e4,e4))]]) ).
cnf(refute_14_252,plain,
( e3 != op(e4,e4)
| op(e4,e1) = op(e4,e4) ),
inference(resolve,[$cnf( $equal(op(e4,e1),e3) )],[refute_14_25,refute_14_251]) ).
cnf(refute_14_253,plain,
( e3 != e1
| op(e4,e4) != e1
| e3 = op(e4,e4) ),
introduced(tautology,[equality,[$cnf( ~ $equal(e3,op(e4,e4)) ),[1],$fot(e1)]]) ).
cnf(refute_14_254,plain,
( e3 != e1
| e3 = op(e4,e4) ),
inference(resolve,[$cnf( $equal(op(e4,e4),e1) )],[refute_14_10,refute_14_253]) ).
cnf(refute_14_255,plain,
( e3 != e1
| op(e4,e1) = op(e4,e4) ),
inference(resolve,[$cnf( $equal(e3,op(e4,e4)) )],[refute_14_254,refute_14_252]) ).
cnf(refute_14_256,plain,
e3 != e1,
inference(resolve,[$cnf( $equal(op(e4,e1),op(e4,e4)) )],[refute_14_255,refute_14_250]) ).
cnf(refute_14_257,plain,
( e1 != e3
| e3 = e1 ),
inference(subst,[],[refute_14_8:[bind(X,$fot(e1)),bind(Y,$fot(e3))]]) ).
cnf(refute_14_258,plain,
e1 != e3,
inference(resolve,[$cnf( $equal(e3,e1) )],[refute_14_257,refute_14_256]) ).
cnf(refute_14_259,plain,
~ definitionFOFtoCNF_130,
inference(resolve,[$cnf( $equal(e1,e3) )],[refute_14_249,refute_14_258]) ).
cnf(refute_14_260,plain,
( op(e1,e1) = e4
| definitionFOFtoCNF_127
| definitionFOFtoCNF_131 ),
inference(resolve,[$cnf( definitionFOFtoCNF_130 )],[refute_14_243,refute_14_259]) ).
cnf(refute_14_261,plain,
( ~ definitionFOFtoCNF_131
| op(e4,e4) = e3 ),
inference(canonicalize,[],[normalize_14_79]) ).
cnf(refute_14_262,plain,
( ~ definitionFOFtoCNF_131
| e1 = e3 ),
inference(resolve,[$cnf( $equal(op(e4,e4),e3) )],[refute_14_261,refute_14_247]) ).
cnf(refute_14_263,plain,
~ definitionFOFtoCNF_131,
inference(resolve,[$cnf( $equal(e1,e3) )],[refute_14_262,refute_14_258]) ).
cnf(refute_14_264,plain,
( op(e1,e1) = e4
| definitionFOFtoCNF_127 ),
inference(resolve,[$cnf( definitionFOFtoCNF_131 )],[refute_14_260,refute_14_263]) ).
cnf(refute_14_265,plain,
( e4 != e4
| op(e1,e1) != e4
| op(e1,e1) = e4 ),
introduced(tautology,[equality,[$cnf( $equal(op(e1,e1),e4) ),[1],$fot(e4)]]) ).
cnf(refute_14_266,plain,
( e4 != e4
| op(e1,e1) = e4
| definitionFOFtoCNF_127 ),
inference(resolve,[$cnf( $equal(op(e1,e1),e4) )],[refute_14_264,refute_14_265]) ).
cnf(refute_14_267,plain,
( e4 != e4
| ~ definitionFOFtoCNF_125
| definitionFOFtoCNF_127 ),
inference(resolve,[$cnf( $equal(op(e1,e1),e4) )],[refute_14_266,refute_14_240]) ).
cnf(refute_14_268,plain,
( ~ definitionFOFtoCNF_125
| definitionFOFtoCNF_127 ),
inference(resolve,[$cnf( $equal(e4,e4) )],[refute_14_197,refute_14_267]) ).
cnf(refute_14_269,plain,
( definitionFOFtoCNF_121
| definitionFOFtoCNF_127 ),
inference(resolve,[$cnf( definitionFOFtoCNF_125 )],[refute_14_230,refute_14_268]) ).
cnf(refute_14_270,plain,
( ~ definitionFOFtoCNF_127
| ~ definitionFOFtoCNF_128
| ~ definitionFOFtoCNF_129
| op(e1,e1) = e3
| op(e3,e3) = e2
| definitionFOFtoCNF_121 ),
inference(canonicalize,[],[normalize_14_81]) ).
cnf(refute_14_271,plain,
( ~ definitionFOFtoCNF_127
| ~ definitionFOFtoCNF_128
| ~ definitionFOFtoCNF_129
| op(e3,e3) = e2
| definitionFOFtoCNF_121 ),
inference(resolve,[$cnf( $equal(op(e1,e1),e3) )],[refute_14_270,refute_14_148]) ).
cnf(refute_14_272,plain,
( op(e3,e3) = e2
| op(e4,e4) = e2
| definitionFOFtoCNF_128 ),
inference(canonicalize,[],[normalize_14_83]) ).
cnf(refute_14_273,plain,
( e1 = e2
| op(e3,e3) = e2
| definitionFOFtoCNF_128 ),
inference(resolve,[$cnf( $equal(op(e4,e4),e2) )],[refute_14_272,refute_14_97]) ).
cnf(refute_14_274,plain,
( op(e3,e3) = e2
| definitionFOFtoCNF_128 ),
inference(resolve,[$cnf( $equal(e1,e2) )],[refute_14_273,refute_14_99]) ).
cnf(refute_14_275,plain,
op(e3,e3) != op(e3,e4),
inference(canonicalize,[],[normalize_14_84]) ).
cnf(refute_14_276,plain,
( op(e3,e3) != e2
| op(e3,e4) != e2
| op(e3,e3) = op(e3,e4) ),
introduced(tautology,[equality,[$cnf( ~ $equal(op(e3,e3),op(e3,e4)) ),[1],$fot(e2)]]) ).
cnf(refute_14_277,plain,
( op(e3,e3) != e2
| op(e3,e3) = op(e3,e4) ),
inference(resolve,[$cnf( $equal(op(e3,e4),e2) )],[refute_14_76,refute_14_276]) ).
cnf(refute_14_278,plain,
op(e3,e3) != e2,
inference(resolve,[$cnf( $equal(op(e3,e3),op(e3,e4)) )],[refute_14_277,refute_14_275]) ).
cnf(refute_14_279,plain,
definitionFOFtoCNF_128,
inference(resolve,[$cnf( $equal(op(e3,e3),e2) )],[refute_14_274,refute_14_278]) ).
cnf(refute_14_280,plain,
( ~ definitionFOFtoCNF_127
| ~ definitionFOFtoCNF_129
| op(e3,e3) = e2
| definitionFOFtoCNF_121 ),
inference(resolve,[$cnf( definitionFOFtoCNF_128 )],[refute_14_279,refute_14_271]) ).
cnf(refute_14_281,plain,
( ~ definitionFOFtoCNF_127
| ~ definitionFOFtoCNF_129
| definitionFOFtoCNF_121 ),
inference(resolve,[$cnf( $equal(op(e3,e3),e2) )],[refute_14_280,refute_14_278]) ).
cnf(refute_14_282,plain,
op(e0,e3) != op(e3,e3),
inference(canonicalize,[],[normalize_14_85]) ).
cnf(refute_14_283,plain,
( op(e3,e3) = e0
| definitionFOFtoCNF_129 ),
inference(canonicalize,[],[normalize_14_87]) ).
cnf(refute_14_284,plain,
( op(e0,e3) != e0
| op(e3,e3) != e0
| op(e0,e3) = op(e3,e3) ),
introduced(tautology,[equality,[$cnf( ~ $equal(op(e0,e3),op(e3,e3)) ),[1],$fot(e0)]]) ).
cnf(refute_14_285,plain,
( op(e0,e3) != e0
| op(e0,e3) = op(e3,e3)
| definitionFOFtoCNF_129 ),
inference(resolve,[$cnf( $equal(op(e3,e3),e0) )],[refute_14_283,refute_14_284]) ).
cnf(refute_14_286,plain,
( op(e0,e3) != e0
| definitionFOFtoCNF_129 ),
inference(resolve,[$cnf( $equal(op(e0,e3),op(e3,e3)) )],[refute_14_285,refute_14_282]) ).
cnf(refute_14_287,plain,
( definitionFOFtoCNF_121
| definitionFOFtoCNF_122 ),
inference(canonicalize,[],[normalize_14_88]) ).
cnf(refute_14_288,plain,
( op(e0,e0) != e3
| op(e3,e3) != e0
| ~ definitionFOFtoCNF_122
| op(e0,e3) = e0 ),
inference(canonicalize,[],[normalize_14_90]) ).
cnf(refute_14_289,plain,
( e0 != e0
| op(e3,e3) != e0
| op(e3,e3) = e0 ),
introduced(tautology,[equality,[$cnf( $equal(op(e3,e3),e0) ),[1],$fot(e0)]]) ).
cnf(refute_14_290,plain,
( e0 != e0
| op(e3,e3) = e0
| definitionFOFtoCNF_129 ),
inference(resolve,[$cnf( $equal(op(e3,e3),e0) )],[refute_14_283,refute_14_289]) ).
cnf(refute_14_291,plain,
( e0 != e0
| op(e0,e0) != e3
| ~ definitionFOFtoCNF_122
| op(e0,e3) = e0
| definitionFOFtoCNF_129 ),
inference(resolve,[$cnf( $equal(op(e3,e3),e0) )],[refute_14_290,refute_14_288]) ).
cnf(refute_14_292,plain,
( op(e0,e0) != e3
| ~ definitionFOFtoCNF_122
| op(e0,e3) = e0
| definitionFOFtoCNF_129 ),
inference(resolve,[$cnf( $equal(e0,e0) )],[refute_14_223,refute_14_291]) ).
cnf(refute_14_293,plain,
( op(e0,e0) = e3
| definitionFOFtoCNF_129 ),
inference(canonicalize,[],[normalize_14_91]) ).
cnf(refute_14_294,plain,
( e3 != e3
| op(e0,e0) != e3
| op(e0,e0) = e3 ),
introduced(tautology,[equality,[$cnf( $equal(op(e0,e0),e3) ),[1],$fot(e3)]]) ).
cnf(refute_14_295,plain,
( e3 != e3
| op(e0,e0) = e3
| definitionFOFtoCNF_129 ),
inference(resolve,[$cnf( $equal(op(e0,e0),e3) )],[refute_14_293,refute_14_294]) ).
cnf(refute_14_296,plain,
( e3 != e3
| ~ definitionFOFtoCNF_122
| op(e0,e3) = e0
| definitionFOFtoCNF_129 ),
inference(resolve,[$cnf( $equal(op(e0,e0),e3) )],[refute_14_295,refute_14_292]) ).
cnf(refute_14_297,plain,
e3 = e3,
introduced(tautology,[refl,[$fot(e3)]]) ).
cnf(refute_14_298,plain,
( ~ definitionFOFtoCNF_122
| op(e0,e3) = e0
| definitionFOFtoCNF_129 ),
inference(resolve,[$cnf( $equal(e3,e3) )],[refute_14_297,refute_14_296]) ).
cnf(refute_14_299,plain,
( op(e0,e3) = e0
| definitionFOFtoCNF_121
| definitionFOFtoCNF_129 ),
inference(resolve,[$cnf( definitionFOFtoCNF_122 )],[refute_14_287,refute_14_298]) ).
cnf(refute_14_300,plain,
( e0 != e0
| op(e0,e3) != e0
| op(e0,e3) = e0 ),
introduced(tautology,[equality,[$cnf( $equal(op(e0,e3),e0) ),[0,0],$fot(e0)]]) ).
cnf(refute_14_301,plain,
( e0 != e0
| op(e0,e3) = e0
| definitionFOFtoCNF_121
| definitionFOFtoCNF_129 ),
inference(resolve,[$cnf( $equal(op(e0,e3),e0) )],[refute_14_299,refute_14_300]) ).
cnf(refute_14_302,plain,
( e0 != e0
| definitionFOFtoCNF_121
| definitionFOFtoCNF_129 ),
inference(resolve,[$cnf( $equal(op(e0,e3),e0) )],[refute_14_301,refute_14_286]) ).
cnf(refute_14_303,plain,
( definitionFOFtoCNF_121
| definitionFOFtoCNF_129 ),
inference(resolve,[$cnf( $equal(e0,e0) )],[refute_14_223,refute_14_302]) ).
cnf(refute_14_304,plain,
( ~ definitionFOFtoCNF_127
| definitionFOFtoCNF_121 ),
inference(resolve,[$cnf( definitionFOFtoCNF_129 )],[refute_14_303,refute_14_281]) ).
cnf(refute_14_305,plain,
definitionFOFtoCNF_121,
inference(resolve,[$cnf( definitionFOFtoCNF_127 )],[refute_14_269,refute_14_304]) ).
cnf(refute_14_306,plain,
( ~ definitionFOFtoCNF_122
| op(e2,e2) = e1 ),
inference(resolve,[$cnf( definitionFOFtoCNF_121 )],[refute_14_305,refute_14_229]) ).
cnf(refute_14_307,plain,
( op(e2,e0) != e2
| ~ definitionFOFtoCNF_123
| ~ definitionFOFtoCNF_124
| op(e0,e0) = e3
| definitionFOFtoCNF_122 ),
inference(canonicalize,[],[normalize_14_92]) ).
cnf(refute_14_308,plain,
( op(e1,e1) = e0
| definitionFOFtoCNF_123 ),
inference(canonicalize,[],[normalize_14_94]) ).
cnf(refute_14_309,plain,
op(e1,e1) != op(e1,e4),
inference(canonicalize,[],[normalize_14_95]) ).
cnf(refute_14_310,plain,
( op(e1,e1) != e0
| op(e1,e4) != e0
| op(e1,e1) = op(e1,e4) ),
introduced(tautology,[equality,[$cnf( ~ $equal(op(e1,e1),op(e1,e4)) ),[1],$fot(e0)]]) ).
cnf(refute_14_311,plain,
( op(e1,e1) != e0
| op(e1,e1) = op(e1,e4) ),
inference(resolve,[$cnf( $equal(op(e1,e4),e0) )],[refute_14_51,refute_14_310]) ).
cnf(refute_14_312,plain,
op(e1,e1) != e0,
inference(resolve,[$cnf( $equal(op(e1,e1),op(e1,e4)) )],[refute_14_311,refute_14_309]) ).
cnf(refute_14_313,plain,
definitionFOFtoCNF_123,
inference(resolve,[$cnf( $equal(op(e1,e1),e0) )],[refute_14_308,refute_14_312]) ).
cnf(refute_14_314,plain,
( op(e2,e0) != e2
| ~ definitionFOFtoCNF_124
| op(e0,e0) = e3
| definitionFOFtoCNF_122 ),
inference(resolve,[$cnf( definitionFOFtoCNF_123 )],[refute_14_313,refute_14_307]) ).
cnf(refute_14_315,plain,
( e2 != e2
| op(e2,e0) != e2
| op(e2,e0) = e2 ),
introduced(tautology,[equality,[$cnf( $equal(op(e2,e0),e2) ),[0,0],$fot(e2)]]) ).
cnf(refute_14_316,plain,
( e2 != e2
| op(e2,e0) = e2 ),
inference(resolve,[$cnf( $equal(op(e2,e0),e2) )],[refute_14_187,refute_14_315]) ).
cnf(refute_14_317,plain,
( e2 != e2
| ~ definitionFOFtoCNF_124
| op(e0,e0) = e3
| definitionFOFtoCNF_122 ),
inference(resolve,[$cnf( $equal(op(e2,e0),e2) )],[refute_14_316,refute_14_314]) ).
cnf(refute_14_318,plain,
op(e0,unit) = e0,
inference(canonicalize,[],[normalize_14_96]) ).
cnf(refute_14_319,plain,
op(e0,unit) = op(e0,unit),
introduced(tautology,[refl,[$fot(op(e0,unit))]]) ).
cnf(refute_14_320,plain,
( op(e0,unit) != op(e0,unit)
| unit != e0
| op(e0,unit) = op(e0,e0) ),
introduced(tautology,[equality,[$cnf( $equal(op(e0,unit),op(e0,unit)) ),[1,1],$fot(e0)]]) ).
cnf(refute_14_321,plain,
( unit != e0
| op(e0,unit) = op(e0,e0) ),
inference(resolve,[$cnf( $equal(op(e0,unit),op(e0,unit)) )],[refute_14_319,refute_14_320]) ).
cnf(refute_14_322,plain,
op(e0,unit) = op(e0,e0),
inference(resolve,[$cnf( $equal(unit,e0) )],[refute_14_100,refute_14_321]) ).
cnf(refute_14_323,plain,
( op(e0,unit) != e0
| op(e0,unit) != op(e0,e0)
| op(e0,e0) = e0 ),
introduced(tautology,[equality,[$cnf( $equal(op(e0,unit),e0) ),[0],$fot(op(e0,e0))]]) ).
cnf(refute_14_324,plain,
( op(e0,unit) != e0
| op(e0,e0) = e0 ),
inference(resolve,[$cnf( $equal(op(e0,unit),op(e0,e0)) )],[refute_14_322,refute_14_323]) ).
cnf(refute_14_325,plain,
op(e0,e0) = e0,
inference(resolve,[$cnf( $equal(op(e0,unit),e0) )],[refute_14_318,refute_14_324]) ).
cnf(refute_14_326,plain,
( op(e0,e0) != e0
| op(e0,e0) != e3
| e0 = e3 ),
introduced(tautology,[equality,[$cnf( $equal(op(e0,e0),e3) ),[0],$fot(e0)]]) ).
cnf(refute_14_327,plain,
( op(e0,e0) != e3
| e0 = e3 ),
inference(resolve,[$cnf( $equal(op(e0,e0),e0) )],[refute_14_325,refute_14_326]) ).
cnf(refute_14_328,plain,
( e2 != e2
| ~ definitionFOFtoCNF_124
| e0 = e3
| definitionFOFtoCNF_122 ),
inference(resolve,[$cnf( $equal(op(e0,e0),e3) )],[refute_14_317,refute_14_327]) ).
cnf(refute_14_329,plain,
( ~ definitionFOFtoCNF_124
| e0 = e3
| definitionFOFtoCNF_122 ),
inference(resolve,[$cnf( $equal(e2,e2) )],[refute_14_111,refute_14_328]) ).
cnf(refute_14_330,plain,
op(e0,e0) != op(e0,e2),
inference(canonicalize,[],[normalize_14_97]) ).
cnf(refute_14_331,plain,
( op(e0,e0) = e2
| definitionFOFtoCNF_124 ),
inference(canonicalize,[],[normalize_14_99]) ).
cnf(refute_14_332,plain,
( e2 != op(e0,e2)
| op(e0,e0) != e2
| op(e0,e0) = op(e0,e2) ),
introduced(tautology,[equality,[$cnf( $equal(op(e0,e0),e2) ),[1],$fot(op(e0,e2))]]) ).
cnf(refute_14_333,plain,
( e2 != op(e0,e2)
| op(e0,e0) = op(e0,e2)
| definitionFOFtoCNF_124 ),
inference(resolve,[$cnf( $equal(op(e0,e0),e2) )],[refute_14_331,refute_14_332]) ).
cnf(refute_14_334,plain,
( e2 != op(e0,e2)
| definitionFOFtoCNF_124 ),
inference(resolve,[$cnf( $equal(op(e0,e0),op(e0,e2)) )],[refute_14_333,refute_14_330]) ).
cnf(refute_14_335,plain,
( op(unit,e2) != e2
| unit != e0
| op(e0,e2) = e2 ),
introduced(tautology,[equality,[$cnf( $equal(op(unit,e2),e2) ),[0,0],$fot(e0)]]) ).
cnf(refute_14_336,plain,
( op(unit,e2) != e2
| op(e0,e2) = e2
| unit = e2 ),
inference(resolve,[$cnf( $equal(unit,e0) )],[refute_14_89,refute_14_335]) ).
cnf(refute_14_337,plain,
( op(e0,e2) = e2
| unit = e2 ),
inference(resolve,[$cnf( $equal(op(unit,e2),e2) )],[refute_14_35,refute_14_336]) ).
cnf(refute_14_338,plain,
( e2 != e2
| op(e0,e2) != e2
| e2 = op(e0,e2) ),
introduced(tautology,[equality,[$cnf( ~ $equal(e2,op(e0,e2)) ),[1],$fot(e2)]]) ).
cnf(refute_14_339,plain,
( e2 != e2
| e2 = op(e0,e2)
| unit = e2 ),
inference(resolve,[$cnf( $equal(op(e0,e2),e2) )],[refute_14_337,refute_14_338]) ).
cnf(refute_14_340,plain,
( e2 != e2
| unit = e2
| definitionFOFtoCNF_124 ),
inference(resolve,[$cnf( $equal(e2,op(e0,e2)) )],[refute_14_339,refute_14_334]) ).
cnf(refute_14_341,plain,
( unit = e2
| definitionFOFtoCNF_124 ),
inference(resolve,[$cnf( $equal(e2,e2) )],[refute_14_111,refute_14_340]) ).
cnf(refute_14_342,plain,
( op(unit,e4) != e4
| op(e2,e4) = e4
| definitionFOFtoCNF_124 ),
inference(resolve,[$cnf( $equal(unit,e2) )],[refute_14_341,refute_14_90]) ).
cnf(refute_14_343,plain,
( op(e2,e4) = e4
| definitionFOFtoCNF_124 ),
inference(resolve,[$cnf( $equal(op(unit,e4),e4) )],[refute_14_37,refute_14_342]) ).
cnf(refute_14_344,plain,
( op(op(e2,e4),e4) != e2
| op(e4,e4) = e2
| definitionFOFtoCNF_124 ),
inference(resolve,[$cnf( $equal(op(e2,e4),e4) )],[refute_14_343,refute_14_93]) ).
cnf(refute_14_345,plain,
( op(e4,e4) = e2
| definitionFOFtoCNF_124 ),
inference(resolve,[$cnf( $equal(op(op(e2,e4),e4),e2) )],[refute_14_36,refute_14_344]) ).
cnf(refute_14_346,plain,
( e1 = e2
| definitionFOFtoCNF_124 ),
inference(resolve,[$cnf( $equal(op(e4,e4),e2) )],[refute_14_345,refute_14_97]) ).
cnf(refute_14_347,plain,
definitionFOFtoCNF_124,
inference(resolve,[$cnf( $equal(e1,e2) )],[refute_14_346,refute_14_99]) ).
cnf(refute_14_348,plain,
( e0 = e3
| definitionFOFtoCNF_122 ),
inference(resolve,[$cnf( definitionFOFtoCNF_124 )],[refute_14_347,refute_14_329]) ).
cnf(refute_14_349,plain,
e0 != e3,
inference(canonicalize,[],[normalize_14_100]) ).
cnf(refute_14_350,plain,
definitionFOFtoCNF_122,
inference(resolve,[$cnf( $equal(e0,e3) )],[refute_14_348,refute_14_349]) ).
cnf(refute_14_351,plain,
op(e2,e2) = e1,
inference(resolve,[$cnf( definitionFOFtoCNF_122 )],[refute_14_350,refute_14_306]) ).
cnf(refute_14_352,plain,
( e1 != op(e3,e2)
| op(e2,e2) != e1
| op(e2,e2) = op(e3,e2) ),
introduced(tautology,[equality,[$cnf( $equal(op(e2,e2),e1) ),[1],$fot(op(e3,e2))]]) ).
cnf(refute_14_353,plain,
( e1 != op(e3,e2)
| op(e2,e2) = op(e3,e2) ),
inference(resolve,[$cnf( $equal(op(e2,e2),e1) )],[refute_14_351,refute_14_352]) ).
cnf(refute_14_354,plain,
e1 != op(e3,e2),
inference(resolve,[$cnf( $equal(op(e2,e2),op(e3,e2)) )],[refute_14_353,refute_14_132]) ).
cnf(refute_14_355,plain,
( op(e3,e2) != e1
| e1 = op(e3,e2) ),
inference(subst,[],[refute_14_8:[bind(X,$fot(op(e3,e2))),bind(Y,$fot(e1))]]) ).
cnf(refute_14_356,plain,
op(e3,e2) != e1,
inference(resolve,[$cnf( $equal(e1,op(e3,e2)) )],[refute_14_355,refute_14_354]) ).
cnf(refute_14_357,plain,
( op(e3,e2) = e2
| op(e3,e2) = e3
| op(e3,e2) = e4 ),
inference(resolve,[$cnf( $equal(op(e3,e2),e1) )],[refute_14_131,refute_14_356]) ).
cnf(refute_14_358,plain,
op(e3,e2) != op(e3,e4),
inference(canonicalize,[],[normalize_14_101]) ).
cnf(refute_14_359,plain,
( op(e3,e2) != e2
| op(e3,e4) != e2
| op(e3,e2) = op(e3,e4) ),
introduced(tautology,[equality,[$cnf( ~ $equal(op(e3,e2),op(e3,e4)) ),[1],$fot(e2)]]) ).
cnf(refute_14_360,plain,
( op(e3,e2) != e2
| op(e3,e2) = op(e3,e4) ),
inference(resolve,[$cnf( $equal(op(e3,e4),e2) )],[refute_14_76,refute_14_359]) ).
cnf(refute_14_361,plain,
op(e3,e2) != e2,
inference(resolve,[$cnf( $equal(op(e3,e2),op(e3,e4)) )],[refute_14_360,refute_14_358]) ).
cnf(refute_14_362,plain,
( op(e3,e2) = e3
| op(e3,e2) = e4 ),
inference(resolve,[$cnf( $equal(op(e3,e2),e2) )],[refute_14_357,refute_14_361]) ).
cnf(refute_14_363,plain,
op(e3,e0) != op(e3,e2),
inference(canonicalize,[],[normalize_14_102]) ).
cnf(refute_14_364,plain,
op(e3,unit) = e3,
inference(canonicalize,[],[normalize_14_103]) ).
cnf(refute_14_365,plain,
op(e3,unit) = op(e3,unit),
introduced(tautology,[refl,[$fot(op(e3,unit))]]) ).
cnf(refute_14_366,plain,
( op(e3,unit) != op(e3,unit)
| unit != e0
| op(e3,unit) = op(e3,e0) ),
introduced(tautology,[equality,[$cnf( $equal(op(e3,unit),op(e3,unit)) ),[1,1],$fot(e0)]]) ).
cnf(refute_14_367,plain,
( unit != e0
| op(e3,unit) = op(e3,e0) ),
inference(resolve,[$cnf( $equal(op(e3,unit),op(e3,unit)) )],[refute_14_365,refute_14_366]) ).
cnf(refute_14_368,plain,
op(e3,unit) = op(e3,e0),
inference(resolve,[$cnf( $equal(unit,e0) )],[refute_14_100,refute_14_367]) ).
cnf(refute_14_369,plain,
( op(e3,unit) != e3
| op(e3,unit) != op(e3,e0)
| op(e3,e0) = e3 ),
introduced(tautology,[equality,[$cnf( $equal(op(e3,unit),e3) ),[0],$fot(op(e3,e0))]]) ).
cnf(refute_14_370,plain,
( op(e3,unit) != e3
| op(e3,e0) = e3 ),
inference(resolve,[$cnf( $equal(op(e3,unit),op(e3,e0)) )],[refute_14_368,refute_14_369]) ).
cnf(refute_14_371,plain,
op(e3,e0) = e3,
inference(resolve,[$cnf( $equal(op(e3,unit),e3) )],[refute_14_364,refute_14_370]) ).
cnf(refute_14_372,plain,
( e3 != op(e3,e2)
| op(e3,e0) != e3
| op(e3,e0) = op(e3,e2) ),
introduced(tautology,[equality,[$cnf( $equal(op(e3,e0),e3) ),[1],$fot(op(e3,e2))]]) ).
cnf(refute_14_373,plain,
( e3 != op(e3,e2)
| op(e3,e0) = op(e3,e2) ),
inference(resolve,[$cnf( $equal(op(e3,e0),e3) )],[refute_14_371,refute_14_372]) ).
cnf(refute_14_374,plain,
e3 != op(e3,e2),
inference(resolve,[$cnf( $equal(op(e3,e0),op(e3,e2)) )],[refute_14_373,refute_14_363]) ).
cnf(refute_14_375,plain,
( op(e3,e2) != e3
| e3 = op(e3,e2) ),
inference(subst,[],[refute_14_8:[bind(X,$fot(op(e3,e2))),bind(Y,$fot(e3))]]) ).
cnf(refute_14_376,plain,
op(e3,e2) != e3,
inference(resolve,[$cnf( $equal(e3,op(e3,e2)) )],[refute_14_375,refute_14_374]) ).
cnf(refute_14_377,plain,
op(e3,e2) = e4,
inference(resolve,[$cnf( $equal(op(e3,e2),e3) )],[refute_14_362,refute_14_376]) ).
cnf(refute_14_378,plain,
op(op(e2,e4),e2) != e4,
inference(canonicalize,[],[normalize_14_104]) ).
cnf(refute_14_379,plain,
( op(e2,e4) = e0
| op(e2,e4) = e1
| op(e2,e4) = e2
| op(e2,e4) = e3
| op(e2,e4) = e4 ),
inference(canonicalize,[],[normalize_14_105]) ).
cnf(refute_14_380,plain,
op(e2,e4) != op(e4,e4),
inference(canonicalize,[],[normalize_14_106]) ).
cnf(refute_14_381,plain,
( op(e2,e4) != e1
| op(e4,e4) != e1
| op(e2,e4) = op(e4,e4) ),
introduced(tautology,[equality,[$cnf( ~ $equal(op(e2,e4),op(e4,e4)) ),[1],$fot(e1)]]) ).
cnf(refute_14_382,plain,
( op(e2,e4) != e1
| op(e2,e4) = op(e4,e4) ),
inference(resolve,[$cnf( $equal(op(e4,e4),e1) )],[refute_14_10,refute_14_381]) ).
cnf(refute_14_383,plain,
op(e2,e4) != e1,
inference(resolve,[$cnf( $equal(op(e2,e4),op(e4,e4)) )],[refute_14_382,refute_14_380]) ).
cnf(refute_14_384,plain,
( op(e2,e4) = e0
| op(e2,e4) = e2
| op(e2,e4) = e3
| op(e2,e4) = e4 ),
inference(resolve,[$cnf( $equal(op(e2,e4),e1) )],[refute_14_379,refute_14_383]) ).
cnf(refute_14_385,plain,
op(e1,e4) != op(e2,e4),
inference(canonicalize,[],[normalize_14_107]) ).
cnf(refute_14_386,plain,
( e0 != op(e2,e4)
| op(e1,e4) != e0
| op(e1,e4) = op(e2,e4) ),
introduced(tautology,[equality,[$cnf( $equal(op(e1,e4),e0) ),[1],$fot(op(e2,e4))]]) ).
cnf(refute_14_387,plain,
( e0 != op(e2,e4)
| op(e1,e4) = op(e2,e4) ),
inference(resolve,[$cnf( $equal(op(e1,e4),e0) )],[refute_14_51,refute_14_386]) ).
cnf(refute_14_388,plain,
e0 != op(e2,e4),
inference(resolve,[$cnf( $equal(op(e1,e4),op(e2,e4)) )],[refute_14_387,refute_14_385]) ).
cnf(refute_14_389,plain,
( op(e2,e4) != e0
| e0 = op(e2,e4) ),
inference(subst,[],[refute_14_8:[bind(X,$fot(op(e2,e4))),bind(Y,$fot(e0))]]) ).
cnf(refute_14_390,plain,
op(e2,e4) != e0,
inference(resolve,[$cnf( $equal(e0,op(e2,e4)) )],[refute_14_389,refute_14_388]) ).
cnf(refute_14_391,plain,
( op(e2,e4) = e2
| op(e2,e4) = e3
| op(e2,e4) = e4 ),
inference(resolve,[$cnf( $equal(op(e2,e4),e0) )],[refute_14_384,refute_14_390]) ).
cnf(refute_14_392,plain,
op(e2,e4) != op(e3,e4),
inference(canonicalize,[],[normalize_14_108]) ).
cnf(refute_14_393,plain,
( op(e2,e4) != e2
| op(e3,e4) != e2
| op(e2,e4) = op(e3,e4) ),
introduced(tautology,[equality,[$cnf( ~ $equal(op(e2,e4),op(e3,e4)) ),[1],$fot(e2)]]) ).
cnf(refute_14_394,plain,
( op(e2,e4) != e2
| op(e2,e4) = op(e3,e4) ),
inference(resolve,[$cnf( $equal(op(e3,e4),e2) )],[refute_14_76,refute_14_393]) ).
cnf(refute_14_395,plain,
op(e2,e4) != e2,
inference(resolve,[$cnf( $equal(op(e2,e4),op(e3,e4)) )],[refute_14_394,refute_14_392]) ).
cnf(refute_14_396,plain,
( op(e2,e4) = e3
| op(e2,e4) = e4 ),
inference(resolve,[$cnf( $equal(op(e2,e4),e2) )],[refute_14_391,refute_14_395]) ).
cnf(refute_14_397,plain,
op(e0,e4) != op(e2,e4),
inference(canonicalize,[],[normalize_14_109]) ).
cnf(refute_14_398,plain,
op(unit,e4) = op(unit,e4),
introduced(tautology,[refl,[$fot(op(unit,e4))]]) ).
cnf(refute_14_399,plain,
( op(unit,e4) != op(unit,e4)
| unit != e0
| op(unit,e4) = op(e0,e4) ),
introduced(tautology,[equality,[$cnf( $equal(op(unit,e4),op(unit,e4)) ),[1,0],$fot(e0)]]) ).
cnf(refute_14_400,plain,
( unit != e0
| op(unit,e4) = op(e0,e4) ),
inference(resolve,[$cnf( $equal(op(unit,e4),op(unit,e4)) )],[refute_14_398,refute_14_399]) ).
cnf(refute_14_401,plain,
op(unit,e4) = op(e0,e4),
inference(resolve,[$cnf( $equal(unit,e0) )],[refute_14_100,refute_14_400]) ).
cnf(refute_14_402,plain,
( op(unit,e4) != e4
| op(unit,e4) != op(e0,e4)
| op(e0,e4) = e4 ),
introduced(tautology,[equality,[$cnf( $equal(op(unit,e4),e4) ),[0],$fot(op(e0,e4))]]) ).
cnf(refute_14_403,plain,
( op(unit,e4) != e4
| op(e0,e4) = e4 ),
inference(resolve,[$cnf( $equal(op(unit,e4),op(e0,e4)) )],[refute_14_401,refute_14_402]) ).
cnf(refute_14_404,plain,
op(e0,e4) = e4,
inference(resolve,[$cnf( $equal(op(unit,e4),e4) )],[refute_14_37,refute_14_403]) ).
cnf(refute_14_405,plain,
( e4 != op(e2,e4)
| op(e0,e4) != e4
| op(e0,e4) = op(e2,e4) ),
introduced(tautology,[equality,[$cnf( $equal(op(e0,e4),e4) ),[1],$fot(op(e2,e4))]]) ).
cnf(refute_14_406,plain,
( e4 != op(e2,e4)
| op(e0,e4) = op(e2,e4) ),
inference(resolve,[$cnf( $equal(op(e0,e4),e4) )],[refute_14_404,refute_14_405]) ).
cnf(refute_14_407,plain,
e4 != op(e2,e4),
inference(resolve,[$cnf( $equal(op(e0,e4),op(e2,e4)) )],[refute_14_406,refute_14_397]) ).
cnf(refute_14_408,plain,
( op(e2,e4) != e4
| e4 = op(e2,e4) ),
inference(subst,[],[refute_14_8:[bind(X,$fot(op(e2,e4))),bind(Y,$fot(e4))]]) ).
cnf(refute_14_409,plain,
op(e2,e4) != e4,
inference(resolve,[$cnf( $equal(e4,op(e2,e4)) )],[refute_14_408,refute_14_407]) ).
cnf(refute_14_410,plain,
op(e2,e4) = e3,
inference(resolve,[$cnf( $equal(op(e2,e4),e4) )],[refute_14_396,refute_14_409]) ).
cnf(refute_14_411,plain,
op(op(e2,e4),e2) = op(op(e2,e4),e2),
introduced(tautology,[refl,[$fot(op(op(e2,e4),e2))]]) ).
cnf(refute_14_412,plain,
( op(e2,e4) != e3
| op(op(e2,e4),e2) != op(op(e2,e4),e2)
| op(op(e2,e4),e2) = op(e3,e2) ),
introduced(tautology,[equality,[$cnf( $equal(op(op(e2,e4),e2),op(op(e2,e4),e2)) ),[1,0],$fot(e3)]]) ).
cnf(refute_14_413,plain,
( op(e2,e4) != e3
| op(op(e2,e4),e2) = op(e3,e2) ),
inference(resolve,[$cnf( $equal(op(op(e2,e4),e2),op(op(e2,e4),e2)) )],[refute_14_411,refute_14_412]) ).
cnf(refute_14_414,plain,
op(op(e2,e4),e2) = op(e3,e2),
inference(resolve,[$cnf( $equal(op(e2,e4),e3) )],[refute_14_410,refute_14_413]) ).
cnf(refute_14_415,plain,
( op(e3,e2) != e4
| op(op(e2,e4),e2) != op(e3,e2)
| op(op(e2,e4),e2) = e4 ),
introduced(tautology,[equality,[$cnf( $equal(op(op(e2,e4),e2),op(e3,e2)) ),[1],$fot(e4)]]) ).
cnf(refute_14_416,plain,
( op(e3,e2) != e4
| op(op(e2,e4),e2) = e4 ),
inference(resolve,[$cnf( $equal(op(op(e2,e4),e2),op(e3,e2)) )],[refute_14_414,refute_14_415]) ).
cnf(refute_14_417,plain,
op(e3,e2) != e4,
inference(resolve,[$cnf( $equal(op(op(e2,e4),e2),e4) )],[refute_14_416,refute_14_378]) ).
cnf(refute_14_418,plain,
$false,
inference(resolve,[$cnf( $equal(op(e3,e2),e4) )],[refute_14_377,refute_14_417]) ).
fof(negate_15_0,plain,
~ ( ( ( ( op(e0,e0) = e0
& op(e0,e0) = e0
& op(e0,e0) != e0 )
| ( op(e0,e0) = e1
& op(e1,e1) = e0
& op(e0,e1) != e0 )
| ( op(e0,e0) = e2
& op(e2,e2) = e0
& op(e0,e2) != e0 )
| ( op(e0,e0) = e3
& op(e3,e3) = e0
& op(e0,e3) != e0 )
| ( op(e0,e0) = e4
& op(e4,e4) = e0
& op(e0,e4) != e0 )
| ( op(e1,e1) = e0
& op(e0,e0) = e1
& op(e1,e0) != e1 )
| ( op(e1,e1) = e1
& op(e1,e1) = e1
& op(e1,e1) != e1 )
| ( op(e1,e1) = e2
& op(e2,e2) = e1
& op(e1,e2) != e1 )
| ( op(e1,e1) = e3
& op(e3,e3) = e1
& op(e1,e3) != e1 )
| ( op(e1,e1) = e4
& op(e4,e4) = e1
& op(e1,e4) != e1 )
| ( op(e2,e2) = e0
& op(e0,e0) = e2
& op(e2,e0) != e2 )
| ( op(e2,e2) = e1
& op(e1,e1) = e2
& op(e2,e1) != e2 )
| ( op(e2,e2) = e2
& op(e2,e2) = e2
& op(e2,e2) != e2 )
| ( op(e2,e2) = e3
& op(e3,e3) = e2
& op(e2,e3) != e2 )
| ( op(e2,e2) = e4
& op(e4,e4) = e2
& op(e2,e4) != e2 )
| ( op(e3,e3) = e0
& op(e0,e0) = e3
& op(e3,e0) != e3 )
| ( op(e3,e3) = e1
& op(e1,e1) = e3
& op(e3,e1) != e3 )
| ( op(e3,e3) = e2
& op(e2,e2) = e3
& op(e3,e2) != e3 )
| ( op(e3,e3) = e3
& op(e3,e3) = e3
& op(e3,e3) != e3 )
| ( op(e3,e3) = e4
& op(e4,e4) = e3
& op(e3,e4) != e3 )
| ( op(e4,e4) = e0
& op(e0,e0) = e4
& op(e4,e0) != e4 )
| ( op(e4,e4) = e1
& op(e1,e1) = e4
& op(e4,e1) != e4 )
| ( op(e4,e4) = e2
& op(e2,e2) = e4
& op(e4,e2) != e4 )
| ( op(e4,e4) = e3
& op(e3,e3) = e4
& op(e4,e3) != e4 )
| ( op(e4,e4) = e4
& op(e4,e4) = e4
& op(e4,e4) != e4 ) )
& ~ ( op(e0,e0) != op(e0,e0)
& op(op(e0,e0),e0) = e0
& op(op(e0,e0),e0) != e0 )
& ~ ( op(e1,e0) != op(e0,e1)
& op(op(e0,e1),e1) = e0
& op(op(e0,e1),e0) != e1 )
& ~ ( op(e2,e0) != op(e0,e2)
& op(op(e0,e2),e2) = e0
& op(op(e0,e2),e0) != e2 )
& ~ ( op(e3,e0) != op(e0,e3)
& op(op(e0,e3),e3) = e0
& op(op(e0,e3),e0) != e3 )
& ~ ( op(e4,e0) != op(e0,e4)
& op(op(e0,e4),e4) = e0
& op(op(e0,e4),e0) != e4 )
& ~ ( op(e0,e1) != op(e1,e0)
& op(op(e1,e0),e0) = e1
& op(op(e1,e0),e1) != e0 )
& ~ ( op(e1,e1) != op(e1,e1)
& op(op(e1,e1),e1) = e1
& op(op(e1,e1),e1) != e1 )
& ~ ( op(e2,e1) != op(e1,e2)
& op(op(e1,e2),e2) = e1
& op(op(e1,e2),e1) != e2 )
& ~ ( op(e3,e1) != op(e1,e3)
& op(op(e1,e3),e3) = e1
& op(op(e1,e3),e1) != e3 )
& ~ ( op(e4,e1) != op(e1,e4)
& op(op(e1,e4),e4) = e1
& op(op(e1,e4),e1) != e4 )
& ~ ( op(e0,e2) != op(e2,e0)
& op(op(e2,e0),e0) = e2
& op(op(e2,e0),e2) != e0 )
& ~ ( op(e1,e2) != op(e2,e1)
& op(op(e2,e1),e1) = e2
& op(op(e2,e1),e2) != e1 )
& ~ ( op(e2,e2) != op(e2,e2)
& op(op(e2,e2),e2) = e2
& op(op(e2,e2),e2) != e2 )
& ~ ( op(e3,e2) != op(e2,e3)
& op(op(e2,e3),e3) = e2
& op(op(e2,e3),e2) != e3 )
& ~ ( op(e4,e2) != op(e2,e4)
& op(op(e2,e4),e4) = e2
& op(op(e2,e4),e2) != e4 )
& op(e0,e3) != op(e3,e0)
& op(op(e3,e0),e0) = e3 )
=> op(op(e3,e0),e3) = e0 ),
inference(negate,[],[subgoal_15]) ).
fof(normalize_15_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,[],[ax3]) ).
fof(normalize_15_1,plain,
( op(e0,e0) = e1
| op(e1,e0) = e1
| op(e2,e0) = e1
| op(e3,e0) = e1
| op(e4,e0) = e1 ),
inference(conjunct,[],[normalize_15_0]) ).
fof(normalize_15_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_15_3,plain,
op(e4,e0) != op(e4,e4),
inference(conjunct,[],[normalize_15_2]) ).
fof(normalize_15_4,plain,
( e0 = op(op(e4,e4),e4)
& e1 = op(e4,e4)
& e2 = op(op(e4,op(e4,e4)),e4)
& e3 = op(e4,op(e4,e4)) ),
inference(canonicalize,[],[ax6]) ).
fof(normalize_15_5,plain,
e1 = op(e4,e4),
inference(conjunct,[],[normalize_15_4]) ).
fof(normalize_15_6,plain,
( op(e0,unit) = e0
& op(e1,unit) = e1
& op(e2,unit) = e2
& op(e3,unit) = e3
& op(e4,unit) = e4
& op(unit,e0) = e0
& op(unit,e1) = e1
& op(unit,e2) = e2
& op(unit,e3) = e3
& op(unit,e4) = e4
& ( unit = e0
| unit = e1
| unit = e2
| unit = e3
| unit = e4 ) ),
inference(canonicalize,[],[ax2]) ).
fof(normalize_15_7,plain,
op(unit,e0) = e0,
inference(conjunct,[],[normalize_15_6]) ).
fof(normalize_15_8,plain,
( op(e0,e3) != op(e3,e0)
& op(op(e3,e0),e3) != e0
& op(op(e3,e0),e0) = e3
& ( op(op(e0,e1),e1) != e0
| op(e1,e0) = op(e0,e1)
| op(op(e0,e1),e0) = e1 )
& ( op(op(e0,e2),e2) != e0
| op(e2,e0) = op(e0,e2)
| op(op(e0,e2),e0) = e2 )
& ( op(op(e0,e3),e3) != e0
| op(e3,e0) = op(e0,e3)
| op(op(e0,e3),e0) = e3 )
& ( op(op(e0,e4),e4) != e0
| op(e4,e0) = op(e0,e4)
| op(op(e0,e4),e0) = e4 )
& ( op(op(e1,e0),e0) != e1
| op(e0,e1) = op(e1,e0)
| op(op(e1,e0),e1) = e0 )
& ( op(op(e1,e2),e2) != e1
| op(e2,e1) = op(e1,e2)
| op(op(e1,e2),e1) = e2 )
& ( op(op(e1,e3),e3) != e1
| op(e3,e1) = op(e1,e3)
| op(op(e1,e3),e1) = e3 )
& ( op(op(e1,e4),e4) != e1
| op(e4,e1) = op(e1,e4)
| op(op(e1,e4),e1) = e4 )
& ( op(op(e2,e0),e0) != e2
| op(e0,e2) = op(e2,e0)
| op(op(e2,e0),e2) = e0 )
& ( op(op(e2,e1),e1) != e2
| op(e1,e2) = op(e2,e1)
| op(op(e2,e1),e2) = e1 )
& ( op(op(e2,e3),e3) != e2
| op(e3,e2) = op(e2,e3)
| op(op(e2,e3),e2) = e3 )
& ( op(op(e2,e4),e4) != e2
| op(e4,e2) = op(e2,e4)
| op(op(e2,e4),e2) = e4 )
& ( ( op(e0,e1) != e0
& op(e0,e0) = e1
& op(e1,e1) = e0 )
| ( op(e0,e2) != e0
& op(e0,e0) = e2
& op(e2,e2) = e0 )
| ( op(e0,e3) != e0
& op(e0,e0) = e3
& op(e3,e3) = e0 )
| ( op(e0,e4) != e0
& op(e0,e0) = e4
& op(e4,e4) = e0 )
| ( op(e1,e0) != e1
& op(e0,e0) = e1
& op(e1,e1) = e0 )
| ( op(e1,e2) != e1
& op(e1,e1) = e2
& op(e2,e2) = e1 )
| ( op(e1,e3) != e1
& op(e1,e1) = e3
& op(e3,e3) = e1 )
| ( op(e1,e4) != e1
& op(e1,e1) = e4
& op(e4,e4) = e1 )
| ( op(e2,e0) != e2
& op(e0,e0) = e2
& op(e2,e2) = e0 )
| ( op(e2,e1) != e2
& op(e1,e1) = e2
& op(e2,e2) = e1 )
| ( op(e2,e3) != e2
& op(e2,e2) = e3
& op(e3,e3) = e2 )
| ( op(e2,e4) != e2
& op(e2,e2) = e4
& op(e4,e4) = e2 )
| ( op(e3,e0) != e3
& op(e0,e0) = e3
& op(e3,e3) = e0 )
| ( op(e3,e1) != e3
& op(e1,e1) = e3
& op(e3,e3) = e1 )
| ( op(e3,e2) != e3
& op(e2,e2) = e3
& op(e3,e3) = e2 )
| ( op(e3,e4) != e3
& op(e3,e3) = e4
& op(e4,e4) = e3 )
| ( op(e4,e0) != e4
& op(e0,e0) = e4
& op(e4,e4) = e0 )
| ( op(e4,e1) != e4
& op(e1,e1) = e4
& op(e4,e4) = e1 )
| ( op(e4,e2) != e4
& op(e2,e2) = e4
& op(e4,e4) = e2 )
| ( op(e4,e3) != e4
& op(e3,e3) = e4
& op(e4,e4) = e3 ) ) ),
inference(canonicalize,[],[negate_15_0]) ).
fof(normalize_15_9,plain,
op(e0,e3) != op(e3,e0),
inference(conjunct,[],[normalize_15_8]) ).
fof(normalize_15_10,plain,
op(unit,e3) = e3,
inference(conjunct,[],[normalize_15_6]) ).
fof(normalize_15_11,plain,
op(unit,e4) = e4,
inference(conjunct,[],[normalize_15_6]) ).
fof(normalize_15_12,plain,
( unit = e0
| unit = e1
| unit = e2
| unit = e3
| unit = e4 ),
inference(conjunct,[],[normalize_15_6]) ).
fof(normalize_15_13,plain,
e0 = op(op(e4,e4),e4),
inference(conjunct,[],[normalize_15_4]) ).
fof(normalize_15_14,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_15_15,plain,
e0 != e4,
inference(conjunct,[],[normalize_15_14]) ).
fof(normalize_15_16,plain,
e2 = op(op(e4,op(e4,e4)),e4),
inference(conjunct,[],[normalize_15_4]) ).
fof(normalize_15_17,plain,
e3 = op(e4,op(e4,e4)),
inference(conjunct,[],[normalize_15_4]) ).
fof(normalize_15_18,plain,
e2 != e4,
inference(conjunct,[],[normalize_15_14]) ).
fof(normalize_15_19,plain,
e1 != e4,
inference(conjunct,[],[normalize_15_14]) ).
fof(normalize_15_20,plain,
op(e3,unit) = e3,
inference(conjunct,[],[normalize_15_6]) ).
fof(normalize_15_21,plain,
e0 != e1,
inference(conjunct,[],[normalize_15_14]) ).
fof(normalize_15_22,plain,
op(e0,e0) != op(e0,e3),
inference(conjunct,[],[normalize_15_2]) ).
fof(normalize_15_23,plain,
( op(op(e0,e3),e3) != e0
| op(e3,e0) = op(e0,e3)
| op(op(e0,e3),e0) = e3 ),
inference(conjunct,[],[normalize_15_8]) ).
fof(normalize_15_24,plain,
op(e0,e2) != op(e0,e3),
inference(conjunct,[],[normalize_15_2]) ).
fof(normalize_15_25,plain,
op(e0,unit) = e0,
inference(conjunct,[],[normalize_15_6]) ).
fof(normalize_15_26,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_15_27,plain,
( op(e0,e3) = e0
| op(e0,e3) = e1
| op(e0,e3) = e2
| op(e0,e3) = e3
| op(e0,e3) = e4 ),
inference(conjunct,[],[normalize_15_26]) ).
fof(normalize_15_28,plain,
op(e0,e1) != op(e0,e3),
inference(conjunct,[],[normalize_15_2]) ).
fof(normalize_15_29,plain,
op(e0,e1) != op(e0,e2),
inference(conjunct,[],[normalize_15_2]) ).
fof(normalize_15_30,plain,
op(e0,e1) != op(e1,e1),
inference(conjunct,[],[normalize_15_2]) ).
fof(normalize_15_31,plain,
( ~ definitionFOFtoCNF_136
<=> ( ( op(e1,e3) != e1
& op(e1,e1) = e3
& op(e3,e3) = e1 )
| ( op(e1,e4) != e1
& op(e1,e1) = e4
& op(e4,e4) = e1 ) ) ),
inference(canonicalize,[],[definition_18]) ).
fof(normalize_15_32,plain,
( ( op(e1,e3) != e1
| op(e1,e4) != e1
| definitionFOFtoCNF_136 )
& ( op(e1,e3) != e1
| op(e1,e1) = e4
| definitionFOFtoCNF_136 )
& ( op(e1,e3) != e1
| op(e4,e4) = e1
| definitionFOFtoCNF_136 )
& ( op(e1,e4) != e1
| op(e1,e1) = e3
| definitionFOFtoCNF_136 )
& ( op(e1,e4) != e1
| op(e3,e3) = e1
| definitionFOFtoCNF_136 )
& ( op(e1,e1) = e3
| op(e1,e1) = e4
| definitionFOFtoCNF_136 )
& ( op(e1,e1) = e3
| op(e4,e4) = e1
| definitionFOFtoCNF_136 )
& ( op(e1,e1) = e4
| op(e3,e3) = e1
| definitionFOFtoCNF_136 )
& ( op(e3,e3) = e1
| op(e4,e4) = e1
| definitionFOFtoCNF_136 )
& ( op(e1,e1) != e3
| op(e3,e3) != e1
| ~ definitionFOFtoCNF_136
| op(e1,e3) = e1 )
& ( op(e1,e1) != e4
| op(e4,e4) != e1
| ~ definitionFOFtoCNF_136
| op(e1,e4) = e1 ) ),
inference(clausify,[],[normalize_15_31]) ).
fof(normalize_15_33,plain,
( op(e1,e1) = e3
| op(e1,e1) = e4
| definitionFOFtoCNF_136 ),
inference(conjunct,[],[normalize_15_32]) ).
fof(normalize_15_34,plain,
op(e1,e1) != op(e4,e1),
inference(conjunct,[],[normalize_15_2]) ).
fof(normalize_15_35,plain,
( op(e0,e1) = e0
| op(e0,e1) = e1
| op(e0,e1) = e2
| op(e0,e1) = e3
| op(e0,e1) = e4 ),
inference(conjunct,[],[normalize_15_26]) ).
fof(normalize_15_36,plain,
op(e0,e1) != op(e4,e1),
inference(conjunct,[],[normalize_15_2]) ).
fof(normalize_15_37,plain,
op(e0,e1) != op(e2,e1),
inference(conjunct,[],[normalize_15_2]) ).
fof(normalize_15_38,plain,
op(unit,e1) = e1,
inference(conjunct,[],[normalize_15_6]) ).
fof(normalize_15_39,plain,
( ~ definitionFOFtoCNF_132
<=> ( ( op(e0,e0) != e1
| op(e1,e1) != e0
| op(e0,e1) = e0 )
& ( op(e0,e0) != e1
| op(e1,e1) != e0
| op(e1,e0) = e1 )
& ( op(e0,e0) != e2
| op(e2,e2) != e0
| op(e0,e2) = e0 )
& ( op(e0,e0) != e2
| op(e2,e2) != e0
| op(e2,e0) = e2 )
& ( op(e0,e0) != e3
| op(e3,e3) != e0
| op(e0,e3) = e0 )
& ( op(e0,e0) != e4
| op(e4,e4) != e0
| op(e0,e4) = e0 )
& ( op(e1,e1) != e2
| op(e2,e2) != e1
| op(e1,e2) = e1 )
& ( op(e1,e1) != e2
| op(e2,e2) != e1
| op(e2,e1) = e2 )
& ( op(e1,e1) != e3
| op(e3,e3) != e1
| op(e1,e3) = e1 )
& ( op(e1,e1) != e4
| op(e4,e4) != e1
| op(e1,e4) = e1 ) ) ),
inference(canonicalize,[],[definition_14]) ).
fof(normalize_15_40,plain,
( ~ definitionFOFtoCNF_133
<=> ( ( op(e0,e1) != e0
& op(e0,e0) = e1
& op(e1,e1) = e0 )
| ( op(e0,e2) != e0
& op(e0,e0) = e2
& op(e2,e2) = e0 )
| ( op(e0,e3) != e0
& op(e0,e0) = e3
& op(e3,e3) = e0 )
| ( op(e1,e0) != e1
& op(e0,e0) = e1
& op(e1,e1) = e0 )
| ( op(e2,e0) != e2
& op(e0,e0) = e2
& op(e2,e2) = e0 ) ) ),
inference(canonicalize,[],[definition_15]) ).
fof(normalize_15_41,plain,
( ~ definitionFOFtoCNF_134
<=> ( ( op(e0,e1) != e0
& op(e0,e0) = e1
& op(e1,e1) = e0 )
| ( op(e1,e0) != e1
& op(e0,e0) = e1
& op(e1,e1) = e0 ) ) ),
inference(canonicalize,[],[definition_16]) ).
fof(normalize_15_42,plain,
( ~ definitionFOFtoCNF_133
<=> ( ~ definitionFOFtoCNF_134
| ( op(e0,e2) != e0
& op(e0,e0) = e2
& op(e2,e2) = e0 )
| ( op(e0,e3) != e0
& op(e0,e0) = e3
& op(e3,e3) = e0 )
| ( op(e2,e0) != e2
& op(e0,e0) = e2
& op(e2,e2) = e0 ) ) ),
inference(simplify,[],[normalize_15_40,normalize_15_41]) ).
fof(normalize_15_43,plain,
( ~ definitionFOFtoCNF_135
<=> ( op(e0,e2) != e0
& op(e0,e0) = e2
& op(e2,e2) = e0 ) ),
inference(canonicalize,[],[definition_17]) ).
fof(normalize_15_44,plain,
( ~ definitionFOFtoCNF_133
<=> ( ~ definitionFOFtoCNF_134
| ~ definitionFOFtoCNF_135
| ( op(e0,e3) != e0
& op(e0,e0) = e3
& op(e3,e3) = e0 )
| ( op(e2,e0) != e2
& op(e0,e0) = e2
& op(e2,e2) = e0 ) ) ),
inference(simplify,[],[normalize_15_42,normalize_15_43]) ).
fof(normalize_15_45,plain,
( ~ definitionFOFtoCNF_132
<=> ( definitionFOFtoCNF_133
& ( op(e0,e0) != e4
| op(e4,e4) != e0
| op(e0,e4) = e0 )
& ( op(e1,e1) != e2
| op(e2,e2) != e1
| op(e1,e2) = e1 )
& ( op(e1,e1) != e2
| op(e2,e2) != e1
| op(e2,e1) = e2 )
& ( op(e1,e1) != e3
| op(e3,e3) != e1
| op(e1,e3) = e1 )
& ( op(e1,e1) != e4
| op(e4,e4) != e1
| op(e1,e4) = e1 ) ) ),
inference(simplify,[],[normalize_15_39,normalize_15_44,normalize_15_41,normalize_15_43]) ).
fof(normalize_15_46,plain,
( ~ definitionFOFtoCNF_132
<=> ( definitionFOFtoCNF_133
& definitionFOFtoCNF_136
& ( op(e0,e0) != e4
| op(e4,e4) != e0
| op(e0,e4) = e0 )
& ( op(e1,e1) != e2
| op(e2,e2) != e1
| op(e1,e2) = e1 )
& ( op(e1,e1) != e2
| op(e2,e2) != e1
| op(e2,e1) = e2 ) ) ),
inference(simplify,[],[normalize_15_45,normalize_15_31]) ).
fof(normalize_15_47,plain,
( ~ definitionFOFtoCNF_137
<=> ( op(e0,e4) != e0
& op(e0,e0) = e4
& op(e4,e4) = e0 ) ),
inference(canonicalize,[],[definition_19]) ).
fof(normalize_15_48,plain,
( ~ definitionFOFtoCNF_132
<=> ( definitionFOFtoCNF_133
& definitionFOFtoCNF_136
& definitionFOFtoCNF_137
& ( op(e1,e1) != e2
| op(e2,e2) != e1
| op(e1,e2) = e1 )
& ( op(e1,e1) != e2
| op(e2,e2) != e1
| op(e2,e1) = e2 ) ) ),
inference(simplify,[],[normalize_15_46,normalize_15_47]) ).
fof(normalize_15_49,plain,
( ( definitionFOFtoCNF_132
| definitionFOFtoCNF_133 )
& ( definitionFOFtoCNF_132
| definitionFOFtoCNF_136 )
& ( definitionFOFtoCNF_132
| definitionFOFtoCNF_137 )
& ( op(e1,e1) != e2
| op(e2,e2) != e1
| op(e1,e2) = e1
| definitionFOFtoCNF_132 )
& ( op(e1,e1) != e2
| op(e2,e2) != e1
| op(e2,e1) = e2
| definitionFOFtoCNF_132 )
& ( ~ definitionFOFtoCNF_132
| ~ definitionFOFtoCNF_133
| ~ definitionFOFtoCNF_136
| ~ definitionFOFtoCNF_137
| op(e1,e1) = e2 )
& ( ~ definitionFOFtoCNF_132
| ~ definitionFOFtoCNF_133
| ~ definitionFOFtoCNF_136
| ~ definitionFOFtoCNF_137
| op(e2,e2) = e1 )
& ( op(e1,e2) != e1
| op(e2,e1) != e2
| ~ definitionFOFtoCNF_132
| ~ definitionFOFtoCNF_133
| ~ definitionFOFtoCNF_136
| ~ definitionFOFtoCNF_137 )
& ( op(e1,e2) != e1
| ~ definitionFOFtoCNF_132
| ~ definitionFOFtoCNF_133
| ~ definitionFOFtoCNF_136
| ~ definitionFOFtoCNF_137
| op(e1,e1) = e2 )
& ( op(e1,e2) != e1
| ~ definitionFOFtoCNF_132
| ~ definitionFOFtoCNF_133
| ~ definitionFOFtoCNF_136
| ~ definitionFOFtoCNF_137
| op(e2,e2) = e1 )
& ( op(e2,e1) != e2
| ~ definitionFOFtoCNF_132
| ~ definitionFOFtoCNF_133
| ~ definitionFOFtoCNF_136
| ~ definitionFOFtoCNF_137
| op(e1,e1) = e2 )
& ( op(e2,e1) != e2
| ~ definitionFOFtoCNF_132
| ~ definitionFOFtoCNF_133
| ~ definitionFOFtoCNF_136
| ~ definitionFOFtoCNF_137
| op(e2,e2) = e1 )
& ( ~ definitionFOFtoCNF_132
| ~ definitionFOFtoCNF_133
| ~ definitionFOFtoCNF_136
| ~ definitionFOFtoCNF_137
| op(e1,e1) = e2
| op(e2,e2) = e1 ) ),
inference(clausify,[],[normalize_15_48]) ).
fof(normalize_15_50,plain,
( ~ definitionFOFtoCNF_132
| ~ definitionFOFtoCNF_133
| ~ definitionFOFtoCNF_136
| ~ definitionFOFtoCNF_137
| op(e2,e2) = e1 ),
inference(conjunct,[],[normalize_15_49]) ).
fof(normalize_15_51,plain,
( ( op(e0,e4) != e0
| definitionFOFtoCNF_137 )
& ( op(e0,e0) = e4
| definitionFOFtoCNF_137 )
& ( op(e4,e4) = e0
| definitionFOFtoCNF_137 )
& ( op(e0,e0) != e4
| op(e4,e4) != e0
| ~ definitionFOFtoCNF_137
| op(e0,e4) = e0 ) ),
inference(clausify,[],[normalize_15_47]) ).
fof(normalize_15_52,plain,
( op(e4,e4) = e0
| definitionFOFtoCNF_137 ),
inference(conjunct,[],[normalize_15_51]) ).
fof(normalize_15_53,plain,
op(e2,unit) = e2,
inference(conjunct,[],[normalize_15_6]) ).
fof(normalize_15_54,plain,
( definitionFOFtoCNF_132
| definitionFOFtoCNF_136 ),
inference(conjunct,[],[normalize_15_49]) ).
fof(normalize_15_55,plain,
( op(e1,e1) != e4
| op(e4,e4) != e1
| ~ definitionFOFtoCNF_136
| op(e1,e4) = e1 ),
inference(conjunct,[],[normalize_15_32]) ).
fof(normalize_15_56,plain,
( ( op(e0,e1) != e0
& op(e0,e0) = e1
& op(e1,e1) = e0 )
| ( op(e0,e2) != e0
& op(e0,e0) = e2
& op(e2,e2) = e0 )
| ( op(e0,e3) != e0
& op(e0,e0) = e3
& op(e3,e3) = e0 )
| ( op(e0,e4) != e0
& op(e0,e0) = e4
& op(e4,e4) = e0 )
| ( op(e1,e0) != e1
& op(e0,e0) = e1
& op(e1,e1) = e0 )
| ( op(e1,e2) != e1
& op(e1,e1) = e2
& op(e2,e2) = e1 )
| ( op(e1,e3) != e1
& op(e1,e1) = e3
& op(e3,e3) = e1 )
| ( op(e1,e4) != e1
& op(e1,e1) = e4
& op(e4,e4) = e1 )
| ( op(e2,e0) != e2
& op(e0,e0) = e2
& op(e2,e2) = e0 )
| ( op(e2,e1) != e2
& op(e1,e1) = e2
& op(e2,e2) = e1 )
| ( op(e2,e3) != e2
& op(e2,e2) = e3
& op(e3,e3) = e2 )
| ( op(e2,e4) != e2
& op(e2,e2) = e4
& op(e4,e4) = e2 )
| ( op(e3,e0) != e3
& op(e0,e0) = e3
& op(e3,e3) = e0 )
| ( op(e3,e1) != e3
& op(e1,e1) = e3
& op(e3,e3) = e1 )
| ( op(e3,e2) != e3
& op(e2,e2) = e3
& op(e3,e3) = e2 )
| ( op(e3,e4) != e3
& op(e3,e3) = e4
& op(e4,e4) = e3 )
| ( op(e4,e0) != e4
& op(e0,e0) = e4
& op(e4,e4) = e0 )
| ( op(e4,e1) != e4
& op(e1,e1) = e4
& op(e4,e4) = e1 )
| ( op(e4,e2) != e4
& op(e2,e2) = e4
& op(e4,e4) = e2 )
| ( op(e4,e3) != e4
& op(e3,e3) = e4
& op(e4,e4) = e3 ) ),
inference(conjunct,[],[normalize_15_8]) ).
fof(normalize_15_57,plain,
( definitionFOFtoCNF_132
| ( op(e2,e3) != e2
& op(e2,e2) = e3
& op(e3,e3) = e2 )
| ( op(e2,e4) != e2
& op(e2,e2) = e4
& op(e4,e4) = e2 )
| ( op(e3,e0) != e3
& op(e0,e0) = e3
& op(e3,e3) = e0 )
| ( op(e3,e1) != e3
& op(e1,e1) = e3
& op(e3,e3) = e1 )
| ( op(e3,e2) != e3
& op(e2,e2) = e3
& op(e3,e3) = e2 )
| ( op(e3,e4) != e3
& op(e3,e3) = e4
& op(e4,e4) = e3 )
| ( op(e4,e0) != e4
& op(e0,e0) = e4
& op(e4,e4) = e0 )
| ( op(e4,e1) != e4
& op(e1,e1) = e4
& op(e4,e4) = e1 )
| ( op(e4,e2) != e4
& op(e2,e2) = e4
& op(e4,e4) = e2 )
| ( op(e4,e3) != e4
& op(e3,e3) = e4
& op(e4,e4) = e3 ) ),
inference(simplify,[],[normalize_15_56,normalize_15_48,normalize_15_31,normalize_15_44,normalize_15_41,normalize_15_43,normalize_15_47]) ).
fof(normalize_15_58,plain,
( ~ definitionFOFtoCNF_138
<=> ( ~ definitionFOFtoCNF_132
& ( op(e0,e0) != e3
| op(e3,e3) != e0
| op(e3,e0) = e3 )
& ( op(e1,e1) != e3
| op(e3,e3) != e1
| op(e3,e1) = e3 )
& ( op(e2,e2) != e3
| op(e3,e3) != e2
| op(e2,e3) = e2 )
& ( op(e2,e2) != e3
| op(e3,e3) != e2
| op(e3,e2) = e3 )
& ( op(e2,e2) != e4
| op(e4,e4) != e2
| op(e2,e4) = e2 ) ) ),
inference(canonicalize,[],[definition_20]) ).
fof(normalize_15_59,plain,
( ~ definitionFOFtoCNF_139
<=> ( ( op(e2,e4) != e2
& op(e2,e2) = e4
& op(e4,e4) = e2 )
| ( op(e3,e2) != e3
& op(e2,e2) = e3
& op(e3,e3) = e2 ) ) ),
inference(canonicalize,[],[definition_21]) ).
fof(normalize_15_60,plain,
( ~ definitionFOFtoCNF_138
<=> ( ~ definitionFOFtoCNF_132
& definitionFOFtoCNF_139
& ( op(e0,e0) != e3
| op(e3,e3) != e0
| op(e3,e0) = e3 )
& ( op(e1,e1) != e3
| op(e3,e3) != e1
| op(e3,e1) = e3 )
& ( op(e2,e2) != e3
| op(e3,e3) != e2
| op(e2,e3) = e2 ) ) ),
inference(simplify,[],[normalize_15_58,normalize_15_59]) ).
fof(normalize_15_61,plain,
( ~ definitionFOFtoCNF_140
<=> ( op(e3,e0) != e3
& op(e0,e0) = e3
& op(e3,e3) = e0 ) ),
inference(canonicalize,[],[definition_22]) ).
fof(normalize_15_62,plain,
( ~ definitionFOFtoCNF_138
<=> ( ~ definitionFOFtoCNF_132
& definitionFOFtoCNF_139
& definitionFOFtoCNF_140
& ( op(e1,e1) != e3
| op(e3,e3) != e1
| op(e3,e1) = e3 )
& ( op(e2,e2) != e3
| op(e3,e3) != e2
| op(e2,e3) = e2 ) ) ),
inference(simplify,[],[normalize_15_60,normalize_15_61]) ).
fof(normalize_15_63,plain,
( definitionFOFtoCNF_138
| ( op(e3,e4) != e3
& op(e3,e3) = e4
& op(e4,e4) = e3 )
| ( op(e4,e0) != e4
& op(e0,e0) = e4
& op(e4,e4) = e0 )
| ( op(e4,e1) != e4
& op(e1,e1) = e4
& op(e4,e4) = e1 )
| ( op(e4,e2) != e4
& op(e2,e2) = e4
& op(e4,e4) = e2 )
| ( op(e4,e3) != e4
& op(e3,e3) = e4
& op(e4,e4) = e3 ) ),
inference(simplify,[],[normalize_15_57,normalize_15_62,normalize_15_59,normalize_15_61]) ).
fof(normalize_15_64,plain,
( ~ definitionFOFtoCNF_141
<=> ( ( op(e2,e2) != e4
| op(e4,e4) != e2
| op(e4,e2) = e4 )
& ( op(e3,e3) != e4
| op(e4,e4) != e3
| op(e4,e3) = e4 ) ) ),
inference(canonicalize,[],[definition_23]) ).
fof(normalize_15_65,plain,
( definitionFOFtoCNF_138
| definitionFOFtoCNF_141
| ( op(e3,e4) != e3
& op(e3,e3) = e4
& op(e4,e4) = e3 )
| ( op(e4,e0) != e4
& op(e0,e0) = e4
& op(e4,e4) = e0 )
| ( op(e4,e1) != e4
& op(e1,e1) = e4
& op(e4,e4) = e1 ) ),
inference(simplify,[],[normalize_15_63,normalize_15_64]) ).
fof(normalize_15_66,plain,
( ~ definitionFOFtoCNF_142
<=> ( op(e3,e3) != e4
| op(e4,e4) != e3
| op(e3,e4) = e3 ) ),
inference(canonicalize,[],[definition_24]) ).
fof(normalize_15_67,plain,
( definitionFOFtoCNF_138
| definitionFOFtoCNF_141
| definitionFOFtoCNF_142
| ( op(e4,e0) != e4
& op(e0,e0) = e4
& op(e4,e4) = e0 )
| ( op(e4,e1) != e4
& op(e1,e1) = e4
& op(e4,e4) = e1 ) ),
inference(simplify,[],[normalize_15_65,normalize_15_66]) ).
fof(normalize_15_68,plain,
( ( op(e4,e0) != e4
| op(e4,e1) != e4
| definitionFOFtoCNF_138
| definitionFOFtoCNF_141
| definitionFOFtoCNF_142 )
& ( op(e4,e0) != e4
| op(e1,e1) = e4
| definitionFOFtoCNF_138
| definitionFOFtoCNF_141
| definitionFOFtoCNF_142 )
& ( op(e4,e0) != e4
| op(e4,e4) = e1
| definitionFOFtoCNF_138
| definitionFOFtoCNF_141
| definitionFOFtoCNF_142 )
& ( op(e4,e1) != e4
| op(e0,e0) = e4
| definitionFOFtoCNF_138
| definitionFOFtoCNF_141
| definitionFOFtoCNF_142 )
& ( op(e4,e1) != e4
| op(e4,e4) = e0
| definitionFOFtoCNF_138
| definitionFOFtoCNF_141
| definitionFOFtoCNF_142 )
& ( op(e0,e0) = e4
| op(e1,e1) = e4
| definitionFOFtoCNF_138
| definitionFOFtoCNF_141
| definitionFOFtoCNF_142 )
& ( op(e0,e0) = e4
| op(e4,e4) = e1
| definitionFOFtoCNF_138
| definitionFOFtoCNF_141
| definitionFOFtoCNF_142 )
& ( op(e1,e1) = e4
| op(e4,e4) = e0
| definitionFOFtoCNF_138
| definitionFOFtoCNF_141
| definitionFOFtoCNF_142 )
& ( op(e4,e4) = e0
| op(e4,e4) = e1
| definitionFOFtoCNF_138
| definitionFOFtoCNF_141
| definitionFOFtoCNF_142 ) ),
inference(clausify,[],[normalize_15_67]) ).
fof(normalize_15_69,plain,
( op(e1,e1) = e4
| op(e4,e4) = e0
| definitionFOFtoCNF_138
| definitionFOFtoCNF_141
| definitionFOFtoCNF_142 ),
inference(conjunct,[],[normalize_15_68]) ).
fof(normalize_15_70,plain,
( ( op(e4,e2) != e4
| op(e4,e3) != e4
| ~ definitionFOFtoCNF_141 )
& ( op(e4,e2) != e4
| ~ definitionFOFtoCNF_141
| op(e3,e3) = e4 )
& ( op(e4,e2) != e4
| ~ definitionFOFtoCNF_141
| op(e4,e4) = e3 )
& ( op(e4,e3) != e4
| ~ definitionFOFtoCNF_141
| op(e2,e2) = e4 )
& ( op(e4,e3) != e4
| ~ definitionFOFtoCNF_141
| op(e4,e4) = e2 )
& ( ~ definitionFOFtoCNF_141
| op(e2,e2) = e4
| op(e3,e3) = e4 )
& ( ~ definitionFOFtoCNF_141
| op(e2,e2) = e4
| op(e4,e4) = e3 )
& ( ~ definitionFOFtoCNF_141
| op(e3,e3) = e4
| op(e4,e4) = e2 )
& ( ~ definitionFOFtoCNF_141
| op(e4,e4) = e2
| op(e4,e4) = e3 )
& ( op(e2,e2) != e4
| op(e4,e4) != e2
| op(e4,e2) = e4
| definitionFOFtoCNF_141 )
& ( op(e3,e3) != e4
| op(e4,e4) != e3
| op(e4,e3) = e4
| definitionFOFtoCNF_141 ) ),
inference(clausify,[],[normalize_15_64]) ).
fof(normalize_15_71,plain,
( ~ definitionFOFtoCNF_141
| op(e4,e4) = e2
| op(e4,e4) = e3 ),
inference(conjunct,[],[normalize_15_70]) ).
fof(normalize_15_72,plain,
e1 != e2,
inference(conjunct,[],[normalize_15_14]) ).
fof(normalize_15_73,plain,
op(e4,e1) != op(e4,e4),
inference(conjunct,[],[normalize_15_2]) ).
fof(normalize_15_74,plain,
( ( op(e3,e4) != e3
| ~ definitionFOFtoCNF_142 )
& ( ~ definitionFOFtoCNF_142
| op(e3,e3) = e4 )
& ( ~ definitionFOFtoCNF_142
| op(e4,e4) = e3 )
& ( op(e3,e3) != e4
| op(e4,e4) != e3
| op(e3,e4) = e3
| definitionFOFtoCNF_142 ) ),
inference(clausify,[],[normalize_15_66]) ).
fof(normalize_15_75,plain,
( ~ definitionFOFtoCNF_142
| op(e4,e4) = e3 ),
inference(conjunct,[],[normalize_15_74]) ).
fof(normalize_15_76,plain,
( ( ~ definitionFOFtoCNF_132
| definitionFOFtoCNF_138 )
& ( definitionFOFtoCNF_138
| definitionFOFtoCNF_139 )
& ( definitionFOFtoCNF_138
| definitionFOFtoCNF_140 )
& ( op(e1,e1) != e3
| op(e3,e3) != e1
| op(e3,e1) = e3
| definitionFOFtoCNF_138 )
& ( op(e2,e2) != e3
| op(e3,e3) != e2
| op(e2,e3) = e2
| definitionFOFtoCNF_138 )
& ( op(e2,e3) != e2
| op(e3,e1) != e3
| ~ definitionFOFtoCNF_138
| ~ definitionFOFtoCNF_139
| ~ definitionFOFtoCNF_140
| definitionFOFtoCNF_132 )
& ( op(e2,e3) != e2
| ~ definitionFOFtoCNF_138
| ~ definitionFOFtoCNF_139
| ~ definitionFOFtoCNF_140
| op(e1,e1) = e3
| definitionFOFtoCNF_132 )
& ( op(e2,e3) != e2
| ~ definitionFOFtoCNF_138
| ~ definitionFOFtoCNF_139
| ~ definitionFOFtoCNF_140
| op(e3,e3) = e1
| definitionFOFtoCNF_132 )
& ( op(e3,e1) != e3
| ~ definitionFOFtoCNF_138
| ~ definitionFOFtoCNF_139
| ~ definitionFOFtoCNF_140
| op(e2,e2) = e3
| definitionFOFtoCNF_132 )
& ( op(e3,e1) != e3
| ~ definitionFOFtoCNF_138
| ~ definitionFOFtoCNF_139
| ~ definitionFOFtoCNF_140
| op(e3,e3) = e2
| definitionFOFtoCNF_132 )
& ( ~ definitionFOFtoCNF_138
| ~ definitionFOFtoCNF_139
| ~ definitionFOFtoCNF_140
| op(e1,e1) = e3
| op(e2,e2) = e3
| definitionFOFtoCNF_132 )
& ( ~ definitionFOFtoCNF_138
| ~ definitionFOFtoCNF_139
| ~ definitionFOFtoCNF_140
| op(e1,e1) = e3
| op(e3,e3) = e2
| definitionFOFtoCNF_132 )
& ( ~ definitionFOFtoCNF_138
| ~ definitionFOFtoCNF_139
| ~ definitionFOFtoCNF_140
| op(e2,e2) = e3
| op(e3,e3) = e1
| definitionFOFtoCNF_132 )
& ( ~ definitionFOFtoCNF_138
| ~ definitionFOFtoCNF_139
| ~ definitionFOFtoCNF_140
| op(e3,e3) = e1
| op(e3,e3) = e2
| definitionFOFtoCNF_132 ) ),
inference(clausify,[],[normalize_15_62]) ).
fof(normalize_15_77,plain,
( ~ definitionFOFtoCNF_138
| ~ definitionFOFtoCNF_139
| ~ definitionFOFtoCNF_140
| op(e1,e1) = e3
| op(e3,e3) = e2
| definitionFOFtoCNF_132 ),
inference(conjunct,[],[normalize_15_76]) ).
fof(normalize_15_78,plain,
( ( op(e2,e4) != e2
| op(e3,e2) != e3
| definitionFOFtoCNF_139 )
& ( op(e2,e4) != e2
| op(e2,e2) = e3
| definitionFOFtoCNF_139 )
& ( op(e2,e4) != e2
| op(e3,e3) = e2
| definitionFOFtoCNF_139 )
& ( op(e3,e2) != e3
| op(e2,e2) = e4
| definitionFOFtoCNF_139 )
& ( op(e3,e2) != e3
| op(e4,e4) = e2
| definitionFOFtoCNF_139 )
& ( op(e2,e2) = e3
| op(e2,e2) = e4
| definitionFOFtoCNF_139 )
& ( op(e2,e2) = e3
| op(e4,e4) = e2
| definitionFOFtoCNF_139 )
& ( op(e2,e2) = e4
| op(e3,e3) = e2
| definitionFOFtoCNF_139 )
& ( op(e3,e3) = e2
| op(e4,e4) = e2
| definitionFOFtoCNF_139 )
& ( op(e2,e2) != e3
| op(e3,e3) != e2
| ~ definitionFOFtoCNF_139
| op(e3,e2) = e3 )
& ( op(e2,e2) != e4
| op(e4,e4) != e2
| ~ definitionFOFtoCNF_139
| op(e2,e4) = e2 ) ),
inference(clausify,[],[normalize_15_59]) ).
fof(normalize_15_79,plain,
( op(e3,e3) = e2
| op(e4,e4) = e2
| definitionFOFtoCNF_139 ),
inference(conjunct,[],[normalize_15_78]) ).
fof(normalize_15_80,plain,
op(e3,e3) != op(e3,e4),
inference(conjunct,[],[normalize_15_2]) ).
fof(normalize_15_81,plain,
op(e0,e3) != op(e3,e3),
inference(conjunct,[],[normalize_15_2]) ).
fof(normalize_15_82,plain,
( ( op(e3,e0) != e3
| definitionFOFtoCNF_140 )
& ( op(e0,e0) = e3
| definitionFOFtoCNF_140 )
& ( op(e3,e3) = e0
| definitionFOFtoCNF_140 )
& ( op(e0,e0) != e3
| op(e3,e3) != e0
| ~ definitionFOFtoCNF_140
| op(e3,e0) = e3 ) ),
inference(clausify,[],[normalize_15_61]) ).
fof(normalize_15_83,plain,
( op(e3,e3) = e0
| definitionFOFtoCNF_140 ),
inference(conjunct,[],[normalize_15_82]) ).
fof(normalize_15_84,plain,
( definitionFOFtoCNF_132
| definitionFOFtoCNF_133 ),
inference(conjunct,[],[normalize_15_49]) ).
fof(normalize_15_85,plain,
( ( ~ definitionFOFtoCNF_133
| definitionFOFtoCNF_134 )
& ( ~ definitionFOFtoCNF_133
| definitionFOFtoCNF_135 )
& ( op(e0,e0) != e2
| op(e2,e2) != e0
| ~ definitionFOFtoCNF_133
| op(e2,e0) = e2 )
& ( op(e0,e0) != e3
| op(e3,e3) != e0
| ~ definitionFOFtoCNF_133
| op(e0,e3) = e0 )
& ( op(e0,e3) != e0
| op(e2,e0) != e2
| ~ definitionFOFtoCNF_134
| ~ definitionFOFtoCNF_135
| definitionFOFtoCNF_133 )
& ( op(e0,e3) != e0
| ~ definitionFOFtoCNF_134
| ~ definitionFOFtoCNF_135
| op(e0,e0) = e2
| definitionFOFtoCNF_133 )
& ( op(e0,e3) != e0
| ~ definitionFOFtoCNF_134
| ~ definitionFOFtoCNF_135
| op(e2,e2) = e0
| definitionFOFtoCNF_133 )
& ( op(e2,e0) != e2
| ~ definitionFOFtoCNF_134
| ~ definitionFOFtoCNF_135
| op(e0,e0) = e3
| definitionFOFtoCNF_133 )
& ( op(e2,e0) != e2
| ~ definitionFOFtoCNF_134
| ~ definitionFOFtoCNF_135
| op(e3,e3) = e0
| definitionFOFtoCNF_133 )
& ( ~ definitionFOFtoCNF_134
| ~ definitionFOFtoCNF_135
| op(e0,e0) = e2
| op(e0,e0) = e3
| definitionFOFtoCNF_133 )
& ( ~ definitionFOFtoCNF_134
| ~ definitionFOFtoCNF_135
| op(e0,e0) = e2
| op(e3,e3) = e0
| definitionFOFtoCNF_133 )
& ( ~ definitionFOFtoCNF_134
| ~ definitionFOFtoCNF_135
| op(e0,e0) = e3
| op(e2,e2) = e0
| definitionFOFtoCNF_133 )
& ( ~ definitionFOFtoCNF_134
| ~ definitionFOFtoCNF_135
| op(e2,e2) = e0
| op(e3,e3) = e0
| definitionFOFtoCNF_133 ) ),
inference(clausify,[],[normalize_15_44]) ).
fof(normalize_15_86,plain,
( op(e0,e0) != e3
| op(e3,e3) != e0
| ~ definitionFOFtoCNF_133
| op(e0,e3) = e0 ),
inference(conjunct,[],[normalize_15_85]) ).
fof(normalize_15_87,plain,
( op(e0,e0) = e3
| definitionFOFtoCNF_140 ),
inference(conjunct,[],[normalize_15_82]) ).
fof(normalize_15_88,plain,
( ~ definitionFOFtoCNF_134
| ~ definitionFOFtoCNF_135
| op(e0,e0) = e3
| op(e2,e2) = e0
| definitionFOFtoCNF_133 ),
inference(conjunct,[],[normalize_15_85]) ).
fof(normalize_15_89,plain,
( ( op(e0,e0) = e1
| definitionFOFtoCNF_134 )
& ( op(e1,e1) = e0
| definitionFOFtoCNF_134 )
& ( op(e0,e1) != e0
| op(e1,e0) != e1
| definitionFOFtoCNF_134 )
& ( op(e0,e1) != e0
| op(e0,e0) = e1
| definitionFOFtoCNF_134 )
& ( op(e0,e1) != e0
| op(e1,e1) = e0
| definitionFOFtoCNF_134 )
& ( op(e1,e0) != e1
| op(e0,e0) = e1
| definitionFOFtoCNF_134 )
& ( op(e1,e0) != e1
| op(e1,e1) = e0
| definitionFOFtoCNF_134 )
& ( op(e0,e0) = e1
| op(e1,e1) = e0
| definitionFOFtoCNF_134 )
& ( op(e0,e0) != e1
| op(e1,e1) != e0
| ~ definitionFOFtoCNF_134
| op(e0,e1) = e0 )
& ( op(e0,e0) != e1
| op(e1,e1) != e0
| ~ definitionFOFtoCNF_134
| op(e1,e0) = e1 ) ),
inference(clausify,[],[normalize_15_41]) ).
fof(normalize_15_90,plain,
( op(e1,e1) = e0
| definitionFOFtoCNF_134 ),
inference(conjunct,[],[normalize_15_89]) ).
fof(normalize_15_91,plain,
op(e1,e1) != op(e1,e4),
inference(conjunct,[],[normalize_15_2]) ).
fof(normalize_15_92,plain,
( ( op(e0,e2) != e0
| definitionFOFtoCNF_135 )
& ( op(e0,e0) = e2
| definitionFOFtoCNF_135 )
& ( op(e2,e2) = e0
| definitionFOFtoCNF_135 )
& ( op(e0,e0) != e2
| op(e2,e2) != e0
| ~ definitionFOFtoCNF_135
| op(e0,e2) = e0 ) ),
inference(clausify,[],[normalize_15_43]) ).
fof(normalize_15_93,plain,
( op(e2,e2) = e0
| definitionFOFtoCNF_135 ),
inference(conjunct,[],[normalize_15_92]) ).
fof(normalize_15_94,plain,
op(unit,e2) = e2,
inference(conjunct,[],[normalize_15_6]) ).
fof(normalize_15_95,plain,
e0 != e2,
inference(conjunct,[],[normalize_15_14]) ).
fof(normalize_15_96,plain,
op(e0,e0) != op(e0,e2),
inference(conjunct,[],[normalize_15_2]) ).
fof(normalize_15_97,plain,
( op(e0,e0) = e2
| definitionFOFtoCNF_135 ),
inference(conjunct,[],[normalize_15_92]) ).
fof(normalize_15_98,plain,
op(e0,e0) != op(e0,e4),
inference(conjunct,[],[normalize_15_2]) ).
fof(normalize_15_99,plain,
op(e0,e4) != op(e2,e4),
inference(conjunct,[],[normalize_15_2]) ).
fof(normalize_15_100,plain,
( op(e0,e4) = e0
| op(e0,e4) = e1
| op(e0,e4) = e2
| op(e0,e4) = e3
| op(e0,e4) = e4 ),
inference(conjunct,[],[normalize_15_26]) ).
fof(normalize_15_101,plain,
op(e0,e4) != op(e4,e4),
inference(conjunct,[],[normalize_15_2]) ).
fof(normalize_15_102,plain,
op(e0,e4) != op(e1,e4),
inference(conjunct,[],[normalize_15_2]) ).
fof(normalize_15_103,plain,
op(e0,e4) != op(e3,e4),
inference(conjunct,[],[normalize_15_2]) ).
fof(normalize_15_104,plain,
( op(e2,e4) = e0
| op(e2,e4) = e1
| op(e2,e4) = e2
| op(e2,e4) = e3
| op(e2,e4) = e4 ),
inference(conjunct,[],[normalize_15_26]) ).
fof(normalize_15_105,plain,
op(e2,e4) != op(e4,e4),
inference(conjunct,[],[normalize_15_2]) ).
fof(normalize_15_106,plain,
op(e1,e4) != op(e2,e4),
inference(conjunct,[],[normalize_15_2]) ).
fof(normalize_15_107,plain,
op(e2,e4) != op(e3,e4),
inference(conjunct,[],[normalize_15_2]) ).
fof(normalize_15_108,plain,
e3 != e4,
inference(conjunct,[],[normalize_15_14]) ).
fof(normalize_15_109,plain,
op(e0,e3) != op(e0,e4),
inference(conjunct,[],[normalize_15_2]) ).
fof(normalize_15_110,plain,
( op(e4,e0) = e0
| op(e4,e1) = e0
| op(e4,e2) = e0
| op(e4,e3) = e0
| op(e4,e4) = e0 ),
inference(conjunct,[],[normalize_15_0]) ).
fof(normalize_15_111,plain,
e0 != e3,
inference(conjunct,[],[normalize_15_14]) ).
fof(normalize_15_112,plain,
op(e4,unit) = e4,
inference(conjunct,[],[normalize_15_6]) ).
fof(normalize_15_113,plain,
op(e2,e0) != op(e4,e0),
inference(conjunct,[],[normalize_15_2]) ).
fof(normalize_15_114,plain,
( op(e4,e0) = e2
| op(e4,e1) = e2
| op(e4,e2) = e2
| op(e4,e3) = e2
| op(e4,e4) = e2 ),
inference(conjunct,[],[normalize_15_0]) ).
fof(normalize_15_115,plain,
e2 != e3,
inference(conjunct,[],[normalize_15_14]) ).
fof(normalize_15_116,plain,
op(e1,e0) != op(e1,e2),
inference(conjunct,[],[normalize_15_2]) ).
fof(normalize_15_117,plain,
op(e1,unit) = e1,
inference(conjunct,[],[normalize_15_6]) ).
cnf(refute_15_0,plain,
( op(e0,e0) = e1
| op(e1,e0) = e1
| op(e2,e0) = e1
| op(e3,e0) = e1
| op(e4,e0) = e1 ),
inference(canonicalize,[],[normalize_15_1]) ).
cnf(refute_15_1,plain,
op(e4,e0) != op(e4,e4),
inference(canonicalize,[],[normalize_15_3]) ).
cnf(refute_15_2,plain,
e1 = op(e4,e4),
inference(canonicalize,[],[normalize_15_5]) ).
cnf(refute_15_3,plain,
X = X,
introduced(tautology,[refl,[$fot(X)]]) ).
cnf(refute_15_4,plain,
( X != X
| X != Y
| Y = X ),
introduced(tautology,[equality,[$cnf( $equal(X,X) ),[0],$fot(Y)]]) ).
cnf(refute_15_5,plain,
( X != Y
| Y = X ),
inference(resolve,[$cnf( $equal(X,X) )],[refute_15_3,refute_15_4]) ).
cnf(refute_15_6,plain,
( e1 != op(e4,e4)
| op(e4,e4) = e1 ),
inference(subst,[],[refute_15_5:[bind(X,$fot(e1)),bind(Y,$fot(op(e4,e4)))]]) ).
cnf(refute_15_7,plain,
op(e4,e4) = e1,
inference(resolve,[$cnf( $equal(e1,op(e4,e4)) )],[refute_15_2,refute_15_6]) ).
cnf(refute_15_8,plain,
( op(e4,e0) != e1
| op(e4,e4) != e1
| op(e4,e0) = op(e4,e4) ),
introduced(tautology,[equality,[$cnf( ~ $equal(op(e4,e0),op(e4,e4)) ),[1],$fot(e1)]]) ).
cnf(refute_15_9,plain,
( op(e4,e0) != e1
| op(e4,e0) = op(e4,e4) ),
inference(resolve,[$cnf( $equal(op(e4,e4),e1) )],[refute_15_7,refute_15_8]) ).
cnf(refute_15_10,plain,
op(e4,e0) != e1,
inference(resolve,[$cnf( $equal(op(e4,e0),op(e4,e4)) )],[refute_15_9,refute_15_1]) ).
cnf(refute_15_11,plain,
( op(e0,e0) = e1
| op(e1,e0) = e1
| op(e2,e0) = e1
| op(e3,e0) = e1 ),
inference(resolve,[$cnf( $equal(op(e4,e0),e1) )],[refute_15_0,refute_15_10]) ).
cnf(refute_15_12,plain,
op(unit,e0) = e0,
inference(canonicalize,[],[normalize_15_7]) ).
cnf(refute_15_13,plain,
op(e0,e3) != op(e3,e0),
inference(canonicalize,[],[normalize_15_9]) ).
cnf(refute_15_14,plain,
op(unit,e3) = e3,
inference(canonicalize,[],[normalize_15_10]) ).
cnf(refute_15_15,plain,
op(unit,e4) = e4,
inference(canonicalize,[],[normalize_15_11]) ).
cnf(refute_15_16,plain,
( unit = e0
| unit = e1
| unit = e2
| unit = e3
| unit = e4 ),
inference(canonicalize,[],[normalize_15_12]) ).
cnf(refute_15_17,plain,
( op(unit,e4) != e4
| unit != e1
| op(e1,e4) = e4 ),
introduced(tautology,[equality,[$cnf( $equal(op(unit,e4),e4) ),[0,0],$fot(e1)]]) ).
cnf(refute_15_18,plain,
( op(unit,e4) != e4
| op(e1,e4) = e4
| unit = e0
| unit = e2
| unit = e3
| unit = e4 ),
inference(resolve,[$cnf( $equal(unit,e1) )],[refute_15_16,refute_15_17]) ).
cnf(refute_15_19,plain,
( op(e1,e4) = e4
| unit = e0
| unit = e2
| unit = e3
| unit = e4 ),
inference(resolve,[$cnf( $equal(op(unit,e4),e4) )],[refute_15_15,refute_15_18]) ).
cnf(refute_15_20,plain,
e0 = op(op(e4,e4),e4),
inference(canonicalize,[],[normalize_15_13]) ).
cnf(refute_15_21,plain,
op(op(e4,e4),e4) = op(op(e4,e4),e4),
introduced(tautology,[refl,[$fot(op(op(e4,e4),e4))]]) ).
cnf(refute_15_22,plain,
( op(e4,e4) != e1
| op(op(e4,e4),e4) != op(op(e4,e4),e4)
| op(op(e4,e4),e4) = op(e1,e4) ),
introduced(tautology,[equality,[$cnf( $equal(op(op(e4,e4),e4),op(op(e4,e4),e4)) ),[1,0],$fot(e1)]]) ).
cnf(refute_15_23,plain,
( op(e4,e4) != e1
| op(op(e4,e4),e4) = op(e1,e4) ),
inference(resolve,[$cnf( $equal(op(op(e4,e4),e4),op(op(e4,e4),e4)) )],[refute_15_21,refute_15_22]) ).
cnf(refute_15_24,plain,
op(op(e4,e4),e4) = op(e1,e4),
inference(resolve,[$cnf( $equal(op(e4,e4),e1) )],[refute_15_7,refute_15_23]) ).
cnf(refute_15_25,plain,
( e0 != op(op(e4,e4),e4)
| op(op(e4,e4),e4) != op(e1,e4)
| e0 = op(e1,e4) ),
introduced(tautology,[equality,[$cnf( ~ $equal(e0,op(e1,e4)) ),[0],$fot(op(op(e4,e4),e4))]]) ).
cnf(refute_15_26,plain,
( e0 != op(op(e4,e4),e4)
| e0 = op(e1,e4) ),
inference(resolve,[$cnf( $equal(op(op(e4,e4),e4),op(e1,e4)) )],[refute_15_24,refute_15_25]) ).
cnf(refute_15_27,plain,
e0 = op(e1,e4),
inference(resolve,[$cnf( $equal(e0,op(op(e4,e4),e4)) )],[refute_15_20,refute_15_26]) ).
cnf(refute_15_28,plain,
( e0 != op(e1,e4)
| op(e1,e4) = e0 ),
inference(subst,[],[refute_15_5:[bind(X,$fot(e0)),bind(Y,$fot(op(e1,e4)))]]) ).
cnf(refute_15_29,plain,
op(e1,e4) = e0,
inference(resolve,[$cnf( $equal(e0,op(e1,e4)) )],[refute_15_27,refute_15_28]) ).
cnf(refute_15_30,plain,
( op(e1,e4) != e0
| op(e1,e4) != e4
| e0 = e4 ),
introduced(tautology,[equality,[$cnf( $equal(op(e1,e4),e4) ),[0],$fot(e0)]]) ).
cnf(refute_15_31,plain,
( op(e1,e4) != e4
| e0 = e4 ),
inference(resolve,[$cnf( $equal(op(e1,e4),e0) )],[refute_15_29,refute_15_30]) ).
cnf(refute_15_32,plain,
( e0 = e4
| unit = e0
| unit = e2
| unit = e3
| unit = e4 ),
inference(resolve,[$cnf( $equal(op(e1,e4),e4) )],[refute_15_19,refute_15_31]) ).
cnf(refute_15_33,plain,
e0 != e4,
inference(canonicalize,[],[normalize_15_15]) ).
cnf(refute_15_34,plain,
( unit = e0
| unit = e2
| unit = e3
| unit = e4 ),
inference(resolve,[$cnf( $equal(e0,e4) )],[refute_15_32,refute_15_33]) ).
cnf(refute_15_35,plain,
( op(unit,e4) != e4
| unit != e3
| op(e3,e4) = e4 ),
introduced(tautology,[equality,[$cnf( $equal(op(unit,e4),e4) ),[0,0],$fot(e3)]]) ).
cnf(refute_15_36,plain,
( op(unit,e4) != e4
| op(e3,e4) = e4
| unit = e0
| unit = e2
| unit = e4 ),
inference(resolve,[$cnf( $equal(unit,e3) )],[refute_15_34,refute_15_35]) ).
cnf(refute_15_37,plain,
( op(e3,e4) = e4
| unit = e0
| unit = e2
| unit = e4 ),
inference(resolve,[$cnf( $equal(op(unit,e4),e4) )],[refute_15_15,refute_15_36]) ).
cnf(refute_15_38,plain,
e2 = op(op(e4,op(e4,e4)),e4),
inference(canonicalize,[],[normalize_15_16]) ).
cnf(refute_15_39,plain,
op(e4,op(e4,e4)) = op(e4,op(e4,e4)),
introduced(tautology,[refl,[$fot(op(e4,op(e4,e4)))]]) ).
cnf(refute_15_40,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_15_41,plain,
( op(e4,e4) != e1
| op(e4,op(e4,e4)) = op(e4,e1) ),
inference(resolve,[$cnf( $equal(op(e4,op(e4,e4)),op(e4,op(e4,e4))) )],[refute_15_39,refute_15_40]) ).
cnf(refute_15_42,plain,
op(e4,op(e4,e4)) = op(e4,e1),
inference(resolve,[$cnf( $equal(op(e4,e4),e1) )],[refute_15_7,refute_15_41]) ).
cnf(refute_15_43,plain,
op(op(e4,op(e4,e4)),e4) = op(op(e4,op(e4,e4)),e4),
introduced(tautology,[refl,[$fot(op(op(e4,op(e4,e4)),e4))]]) ).
cnf(refute_15_44,plain,
( op(e4,op(e4,e4)) != op(e4,e1)
| op(op(e4,op(e4,e4)),e4) != op(op(e4,op(e4,e4)),e4)
| op(op(e4,op(e4,e4)),e4) = op(op(e4,e1),e4) ),
introduced(tautology,[equality,[$cnf( $equal(op(op(e4,op(e4,e4)),e4),op(op(e4,op(e4,e4)),e4)) ),[1,0],$fot(op(e4,e1))]]) ).
cnf(refute_15_45,plain,
( op(e4,op(e4,e4)) != op(e4,e1)
| op(op(e4,op(e4,e4)),e4) = op(op(e4,e1),e4) ),
inference(resolve,[$cnf( $equal(op(op(e4,op(e4,e4)),e4),op(op(e4,op(e4,e4)),e4)) )],[refute_15_43,refute_15_44]) ).
cnf(refute_15_46,plain,
op(op(e4,op(e4,e4)),e4) = op(op(e4,e1),e4),
inference(resolve,[$cnf( $equal(op(e4,op(e4,e4)),op(e4,e1)) )],[refute_15_42,refute_15_45]) ).
cnf(refute_15_47,plain,
( e2 != op(op(e4,op(e4,e4)),e4)
| op(op(e4,op(e4,e4)),e4) != op(op(e4,e1),e4)
| e2 = op(op(e4,e1),e4) ),
introduced(tautology,[equality,[$cnf( ~ $equal(e2,op(op(e4,e1),e4)) ),[0],$fot(op(op(e4,op(e4,e4)),e4))]]) ).
cnf(refute_15_48,plain,
( e2 != op(op(e4,op(e4,e4)),e4)
| e2 = op(op(e4,e1),e4) ),
inference(resolve,[$cnf( $equal(op(op(e4,op(e4,e4)),e4),op(op(e4,e1),e4)) )],[refute_15_46,refute_15_47]) ).
cnf(refute_15_49,plain,
e2 = op(op(e4,e1),e4),
inference(resolve,[$cnf( $equal(e2,op(op(e4,op(e4,e4)),e4)) )],[refute_15_38,refute_15_48]) ).
cnf(refute_15_50,plain,
e3 = op(e4,op(e4,e4)),
inference(canonicalize,[],[normalize_15_17]) ).
cnf(refute_15_51,plain,
( e3 != op(e4,op(e4,e4))
| op(e4,op(e4,e4)) != op(e4,e1)
| e3 = op(e4,e1) ),
introduced(tautology,[equality,[$cnf( ~ $equal(e3,op(e4,e1)) ),[0],$fot(op(e4,op(e4,e4)))]]) ).
cnf(refute_15_52,plain,
( e3 != op(e4,op(e4,e4))
| e3 = op(e4,e1) ),
inference(resolve,[$cnf( $equal(op(e4,op(e4,e4)),op(e4,e1)) )],[refute_15_42,refute_15_51]) ).
cnf(refute_15_53,plain,
e3 = op(e4,e1),
inference(resolve,[$cnf( $equal(e3,op(e4,op(e4,e4))) )],[refute_15_50,refute_15_52]) ).
cnf(refute_15_54,plain,
( e3 != op(e4,e1)
| op(e4,e1) = e3 ),
inference(subst,[],[refute_15_5:[bind(X,$fot(e3)),bind(Y,$fot(op(e4,e1)))]]) ).
cnf(refute_15_55,plain,
op(e4,e1) = e3,
inference(resolve,[$cnf( $equal(e3,op(e4,e1)) )],[refute_15_53,refute_15_54]) ).
cnf(refute_15_56,plain,
op(op(e4,e1),e4) = op(op(e4,e1),e4),
introduced(tautology,[refl,[$fot(op(op(e4,e1),e4))]]) ).
cnf(refute_15_57,plain,
( op(e4,e1) != e3
| op(op(e4,e1),e4) != op(op(e4,e1),e4)
| op(op(e4,e1),e4) = op(e3,e4) ),
introduced(tautology,[equality,[$cnf( $equal(op(op(e4,e1),e4),op(op(e4,e1),e4)) ),[1,0],$fot(e3)]]) ).
cnf(refute_15_58,plain,
( op(e4,e1) != e3
| op(op(e4,e1),e4) = op(e3,e4) ),
inference(resolve,[$cnf( $equal(op(op(e4,e1),e4),op(op(e4,e1),e4)) )],[refute_15_56,refute_15_57]) ).
cnf(refute_15_59,plain,
op(op(e4,e1),e4) = op(e3,e4),
inference(resolve,[$cnf( $equal(op(e4,e1),e3) )],[refute_15_55,refute_15_58]) ).
cnf(refute_15_60,plain,
( e2 != op(op(e4,e1),e4)
| op(op(e4,e1),e4) != op(e3,e4)
| e2 = op(e3,e4) ),
introduced(tautology,[equality,[$cnf( ~ $equal(e2,op(e3,e4)) ),[0],$fot(op(op(e4,e1),e4))]]) ).
cnf(refute_15_61,plain,
( e2 != op(op(e4,e1),e4)
| e2 = op(e3,e4) ),
inference(resolve,[$cnf( $equal(op(op(e4,e1),e4),op(e3,e4)) )],[refute_15_59,refute_15_60]) ).
cnf(refute_15_62,plain,
e2 = op(e3,e4),
inference(resolve,[$cnf( $equal(e2,op(op(e4,e1),e4)) )],[refute_15_49,refute_15_61]) ).
cnf(refute_15_63,plain,
( e2 != op(e3,e4)
| op(e3,e4) = e2 ),
inference(subst,[],[refute_15_5:[bind(X,$fot(e2)),bind(Y,$fot(op(e3,e4)))]]) ).
cnf(refute_15_64,plain,
op(e3,e4) = e2,
inference(resolve,[$cnf( $equal(e2,op(e3,e4)) )],[refute_15_62,refute_15_63]) ).
cnf(refute_15_65,plain,
( op(e3,e4) != e2
| op(e3,e4) != e4
| e2 = e4 ),
introduced(tautology,[equality,[$cnf( $equal(op(e3,e4),e4) ),[0],$fot(e2)]]) ).
cnf(refute_15_66,plain,
( op(e3,e4) != e4
| e2 = e4 ),
inference(resolve,[$cnf( $equal(op(e3,e4),e2) )],[refute_15_64,refute_15_65]) ).
cnf(refute_15_67,plain,
( e2 = e4
| unit = e0
| unit = e2
| unit = e4 ),
inference(resolve,[$cnf( $equal(op(e3,e4),e4) )],[refute_15_37,refute_15_66]) ).
cnf(refute_15_68,plain,
e2 != e4,
inference(canonicalize,[],[normalize_15_18]) ).
cnf(refute_15_69,plain,
( unit = e0
| unit = e2
| unit = e4 ),
inference(resolve,[$cnf( $equal(e2,e4) )],[refute_15_67,refute_15_68]) ).
cnf(refute_15_70,plain,
( op(unit,e4) != e4
| unit != e4
| op(e4,e4) = e4 ),
introduced(tautology,[equality,[$cnf( $equal(op(unit,e4),e4) ),[0,0],$fot(e4)]]) ).
cnf(refute_15_71,plain,
( op(unit,e4) != e4
| op(e4,e4) = e4
| unit = e0
| unit = e2 ),
inference(resolve,[$cnf( $equal(unit,e4) )],[refute_15_69,refute_15_70]) ).
cnf(refute_15_72,plain,
( op(e4,e4) = e4
| unit = e0
| unit = e2 ),
inference(resolve,[$cnf( $equal(op(unit,e4),e4) )],[refute_15_15,refute_15_71]) ).
cnf(refute_15_73,plain,
( op(e4,e4) != e1
| op(e4,e4) != e4
| e1 = e4 ),
introduced(tautology,[equality,[$cnf( $equal(op(e4,e4),e4) ),[0],$fot(e1)]]) ).
cnf(refute_15_74,plain,
( op(e4,e4) != e4
| e1 = e4 ),
inference(resolve,[$cnf( $equal(op(e4,e4),e1) )],[refute_15_7,refute_15_73]) ).
cnf(refute_15_75,plain,
( e1 = e4
| unit = e0
| unit = e2 ),
inference(resolve,[$cnf( $equal(op(e4,e4),e4) )],[refute_15_72,refute_15_74]) ).
cnf(refute_15_76,plain,
e1 != e4,
inference(canonicalize,[],[normalize_15_19]) ).
cnf(refute_15_77,plain,
( unit = e0
| unit = e2 ),
inference(resolve,[$cnf( $equal(e1,e4) )],[refute_15_75,refute_15_76]) ).
cnf(refute_15_78,plain,
( op(unit,e3) != e3
| unit != e0
| op(e0,e3) = e3 ),
introduced(tautology,[equality,[$cnf( $equal(op(unit,e3),e3) ),[0,0],$fot(e0)]]) ).
cnf(refute_15_79,plain,
( op(unit,e3) != e3
| op(e0,e3) = e3
| unit = e2 ),
inference(resolve,[$cnf( $equal(unit,e0) )],[refute_15_77,refute_15_78]) ).
cnf(refute_15_80,plain,
( op(e0,e3) = e3
| unit = e2 ),
inference(resolve,[$cnf( $equal(op(unit,e3),e3) )],[refute_15_14,refute_15_79]) ).
cnf(refute_15_81,plain,
( e3 != op(e3,e0)
| op(e0,e3) != e3
| op(e0,e3) = op(e3,e0) ),
introduced(tautology,[equality,[$cnf( $equal(op(e0,e3),e3) ),[1],$fot(op(e3,e0))]]) ).
cnf(refute_15_82,plain,
( e3 != op(e3,e0)
| op(e0,e3) = op(e3,e0)
| unit = e2 ),
inference(resolve,[$cnf( $equal(op(e0,e3),e3) )],[refute_15_80,refute_15_81]) ).
cnf(refute_15_83,plain,
( e3 != op(e3,e0)
| unit = e2 ),
inference(resolve,[$cnf( $equal(op(e0,e3),op(e3,e0)) )],[refute_15_82,refute_15_13]) ).
cnf(refute_15_84,plain,
op(e3,unit) = e3,
inference(canonicalize,[],[normalize_15_20]) ).
cnf(refute_15_85,plain,
( op(e3,unit) != e3
| unit != e0
| op(e3,e0) = e3 ),
introduced(tautology,[equality,[$cnf( $equal(op(e3,unit),e3) ),[0,1],$fot(e0)]]) ).
cnf(refute_15_86,plain,
( op(e3,unit) != e3
| op(e3,e0) = e3
| unit = e2 ),
inference(resolve,[$cnf( $equal(unit,e0) )],[refute_15_77,refute_15_85]) ).
cnf(refute_15_87,plain,
( op(e3,e0) = e3
| unit = e2 ),
inference(resolve,[$cnf( $equal(op(e3,unit),e3) )],[refute_15_84,refute_15_86]) ).
cnf(refute_15_88,plain,
( e3 != e3
| op(e3,e0) != e3
| e3 = op(e3,e0) ),
introduced(tautology,[equality,[$cnf( ~ $equal(e3,op(e3,e0)) ),[1],$fot(e3)]]) ).
cnf(refute_15_89,plain,
( e3 != e3
| e3 = op(e3,e0)
| unit = e2 ),
inference(resolve,[$cnf( $equal(op(e3,e0),e3) )],[refute_15_87,refute_15_88]) ).
cnf(refute_15_90,plain,
( e3 != e3
| unit = e2 ),
inference(resolve,[$cnf( $equal(e3,op(e3,e0)) )],[refute_15_89,refute_15_83]) ).
cnf(refute_15_91,plain,
e3 = e3,
introduced(tautology,[refl,[$fot(e3)]]) ).
cnf(refute_15_92,plain,
unit = e2,
inference(resolve,[$cnf( $equal(e3,e3) )],[refute_15_91,refute_15_90]) ).
cnf(refute_15_93,plain,
op(unit,e0) = op(unit,e0),
introduced(tautology,[refl,[$fot(op(unit,e0))]]) ).
cnf(refute_15_94,plain,
( op(unit,e0) != op(unit,e0)
| unit != e2
| op(unit,e0) = op(e2,e0) ),
introduced(tautology,[equality,[$cnf( $equal(op(unit,e0),op(unit,e0)) ),[1,0],$fot(e2)]]) ).
cnf(refute_15_95,plain,
( unit != e2
| op(unit,e0) = op(e2,e0) ),
inference(resolve,[$cnf( $equal(op(unit,e0),op(unit,e0)) )],[refute_15_93,refute_15_94]) ).
cnf(refute_15_96,plain,
op(unit,e0) = op(e2,e0),
inference(resolve,[$cnf( $equal(unit,e2) )],[refute_15_92,refute_15_95]) ).
cnf(refute_15_97,plain,
( op(unit,e0) != e0
| op(unit,e0) != op(e2,e0)
| op(e2,e0) = e0 ),
introduced(tautology,[equality,[$cnf( $equal(op(unit,e0),e0) ),[0],$fot(op(e2,e0))]]) ).
cnf(refute_15_98,plain,
( op(unit,e0) != e0
| op(e2,e0) = e0 ),
inference(resolve,[$cnf( $equal(op(unit,e0),op(e2,e0)) )],[refute_15_96,refute_15_97]) ).
cnf(refute_15_99,plain,
op(e2,e0) = e0,
inference(resolve,[$cnf( $equal(op(unit,e0),e0) )],[refute_15_12,refute_15_98]) ).
cnf(refute_15_100,plain,
( op(e2,e0) != e0
| op(e2,e0) != e1
| e0 = e1 ),
introduced(tautology,[equality,[$cnf( $equal(op(e2,e0),e1) ),[0],$fot(e0)]]) ).
cnf(refute_15_101,plain,
( op(e2,e0) != e1
| e0 = e1 ),
inference(resolve,[$cnf( $equal(op(e2,e0),e0) )],[refute_15_99,refute_15_100]) ).
cnf(refute_15_102,plain,
( e0 = e1
| op(e0,e0) = e1
| op(e1,e0) = e1
| op(e3,e0) = e1 ),
inference(resolve,[$cnf( $equal(op(e2,e0),e1) )],[refute_15_11,refute_15_101]) ).
cnf(refute_15_103,plain,
e0 != e1,
inference(canonicalize,[],[normalize_15_21]) ).
cnf(refute_15_104,plain,
( op(e0,e0) = e1
| op(e1,e0) = e1
| op(e3,e0) = e1 ),
inference(resolve,[$cnf( $equal(e0,e1) )],[refute_15_102,refute_15_103]) ).
cnf(refute_15_105,plain,
op(e0,e0) != op(e0,e3),
inference(canonicalize,[],[normalize_15_22]) ).
cnf(refute_15_106,plain,
( op(op(e0,e3),e3) != e0
| op(e3,e0) = op(e0,e3)
| op(op(e0,e3),e0) = e3 ),
inference(canonicalize,[],[normalize_15_23]) ).
cnf(refute_15_107,plain,
( op(e3,e0) != op(e0,e3)
| op(e0,e3) = op(e3,e0) ),
inference(subst,[],[refute_15_5:[bind(X,$fot(op(e3,e0))),bind(Y,$fot(op(e0,e3)))]]) ).
cnf(refute_15_108,plain,
op(e3,e0) != op(e0,e3),
inference(resolve,[$cnf( $equal(op(e0,e3),op(e3,e0)) )],[refute_15_107,refute_15_13]) ).
cnf(refute_15_109,plain,
( op(op(e0,e3),e3) != e0
| op(op(e0,e3),e0) = e3 ),
inference(resolve,[$cnf( $equal(op(e3,e0),op(e0,e3)) )],[refute_15_106,refute_15_108]) ).
cnf(refute_15_110,plain,
op(e0,e2) != op(e0,e3),
inference(canonicalize,[],[normalize_15_24]) ).
cnf(refute_15_111,plain,
op(e0,unit) = e0,
inference(canonicalize,[],[normalize_15_25]) ).
cnf(refute_15_112,plain,
op(e0,unit) = op(e0,unit),
introduced(tautology,[refl,[$fot(op(e0,unit))]]) ).
cnf(refute_15_113,plain,
( op(e0,unit) != op(e0,unit)
| unit != e2
| op(e0,unit) = op(e0,e2) ),
introduced(tautology,[equality,[$cnf( $equal(op(e0,unit),op(e0,unit)) ),[1,1],$fot(e2)]]) ).
cnf(refute_15_114,plain,
( unit != e2
| op(e0,unit) = op(e0,e2) ),
inference(resolve,[$cnf( $equal(op(e0,unit),op(e0,unit)) )],[refute_15_112,refute_15_113]) ).
cnf(refute_15_115,plain,
op(e0,unit) = op(e0,e2),
inference(resolve,[$cnf( $equal(unit,e2) )],[refute_15_92,refute_15_114]) ).
cnf(refute_15_116,plain,
( op(e0,unit) != e0
| op(e0,unit) != op(e0,e2)
| op(e0,e2) = e0 ),
introduced(tautology,[equality,[$cnf( $equal(op(e0,unit),e0) ),[0],$fot(op(e0,e2))]]) ).
cnf(refute_15_117,plain,
( op(e0,unit) != e0
| op(e0,e2) = e0 ),
inference(resolve,[$cnf( $equal(op(e0,unit),op(e0,e2)) )],[refute_15_115,refute_15_116]) ).
cnf(refute_15_118,plain,
op(e0,e2) = e0,
inference(resolve,[$cnf( $equal(op(e0,unit),e0) )],[refute_15_111,refute_15_117]) ).
cnf(refute_15_119,plain,
( e0 != op(e0,e3)
| op(e0,e2) != e0
| op(e0,e2) = op(e0,e3) ),
introduced(tautology,[equality,[$cnf( $equal(op(e0,e2),e0) ),[1],$fot(op(e0,e3))]]) ).
cnf(refute_15_120,plain,
( e0 != op(e0,e3)
| op(e0,e2) = op(e0,e3) ),
inference(resolve,[$cnf( $equal(op(e0,e2),e0) )],[refute_15_118,refute_15_119]) ).
cnf(refute_15_121,plain,
e0 != op(e0,e3),
inference(resolve,[$cnf( $equal(op(e0,e2),op(e0,e3)) )],[refute_15_120,refute_15_110]) ).
cnf(refute_15_122,plain,
( op(e0,e3) = e0
| op(e0,e3) = e1
| op(e0,e3) = e2
| op(e0,e3) = e3
| op(e0,e3) = e4 ),
inference(canonicalize,[],[normalize_15_27]) ).
cnf(refute_15_123,plain,
( e0 != e0
| op(e0,e3) != e0
| e0 = op(e0,e3) ),
introduced(tautology,[equality,[$cnf( ~ $equal(e0,op(e0,e3)) ),[1],$fot(e0)]]) ).
cnf(refute_15_124,plain,
( e0 != e0
| e0 = op(e0,e3)
| op(e0,e3) = e1
| op(e0,e3) = e2
| op(e0,e3) = e3
| op(e0,e3) = e4 ),
inference(resolve,[$cnf( $equal(op(e0,e3),e0) )],[refute_15_122,refute_15_123]) ).
cnf(refute_15_125,plain,
( e0 != e0
| op(e0,e3) = e1
| op(e0,e3) = e2
| op(e0,e3) = e3
| op(e0,e3) = e4 ),
inference(resolve,[$cnf( $equal(e0,op(e0,e3)) )],[refute_15_124,refute_15_121]) ).
cnf(refute_15_126,plain,
e0 = e0,
introduced(tautology,[refl,[$fot(e0)]]) ).
cnf(refute_15_127,plain,
( op(e0,e3) = e1
| op(e0,e3) = e2
| op(e0,e3) = e3
| op(e0,e3) = e4 ),
inference(resolve,[$cnf( $equal(e0,e0) )],[refute_15_126,refute_15_125]) ).
cnf(refute_15_128,plain,
op(e0,e1) != op(e0,e3),
inference(canonicalize,[],[normalize_15_28]) ).
cnf(refute_15_129,plain,
op(e0,e1) != op(e0,e2),
inference(canonicalize,[],[normalize_15_29]) ).
cnf(refute_15_130,plain,
( op(e0,e1) != e0
| op(e0,e2) != e0
| op(e0,e1) = op(e0,e2) ),
introduced(tautology,[equality,[$cnf( ~ $equal(op(e0,e1),op(e0,e2)) ),[1],$fot(e0)]]) ).
cnf(refute_15_131,plain,
( op(e0,e1) != e0
| op(e0,e1) = op(e0,e2) ),
inference(resolve,[$cnf( $equal(op(e0,e2),e0) )],[refute_15_118,refute_15_130]) ).
cnf(refute_15_132,plain,
op(e0,e1) != e0,
inference(resolve,[$cnf( $equal(op(e0,e1),op(e0,e2)) )],[refute_15_131,refute_15_129]) ).
cnf(refute_15_133,plain,
op(e0,e1) != op(e1,e1),
inference(canonicalize,[],[normalize_15_30]) ).
cnf(refute_15_134,plain,
( op(e1,e1) = e3
| op(e1,e1) = e4
| definitionFOFtoCNF_136 ),
inference(canonicalize,[],[normalize_15_33]) ).
cnf(refute_15_135,plain,
op(e1,e1) != op(e4,e1),
inference(canonicalize,[],[normalize_15_34]) ).
cnf(refute_15_136,plain,
( op(e1,e1) != e3
| op(e4,e1) != e3
| op(e1,e1) = op(e4,e1) ),
introduced(tautology,[equality,[$cnf( ~ $equal(op(e1,e1),op(e4,e1)) ),[1],$fot(e3)]]) ).
cnf(refute_15_137,plain,
( op(e1,e1) != e3
| op(e1,e1) = op(e4,e1) ),
inference(resolve,[$cnf( $equal(op(e4,e1),e3) )],[refute_15_55,refute_15_136]) ).
cnf(refute_15_138,plain,
op(e1,e1) != e3,
inference(resolve,[$cnf( $equal(op(e1,e1),op(e4,e1)) )],[refute_15_137,refute_15_135]) ).
cnf(refute_15_139,plain,
( op(e1,e1) = e4
| definitionFOFtoCNF_136 ),
inference(resolve,[$cnf( $equal(op(e1,e1),e3) )],[refute_15_134,refute_15_138]) ).
cnf(refute_15_140,plain,
( op(e0,e1) != e4
| op(e1,e1) != e4
| op(e0,e1) = op(e1,e1) ),
introduced(tautology,[equality,[$cnf( ~ $equal(op(e0,e1),op(e1,e1)) ),[1],$fot(e4)]]) ).
cnf(refute_15_141,plain,
( op(e0,e1) != e4
| op(e0,e1) = op(e1,e1)
| definitionFOFtoCNF_136 ),
inference(resolve,[$cnf( $equal(op(e1,e1),e4) )],[refute_15_139,refute_15_140]) ).
cnf(refute_15_142,plain,
( op(e0,e1) != e4
| definitionFOFtoCNF_136 ),
inference(resolve,[$cnf( $equal(op(e0,e1),op(e1,e1)) )],[refute_15_141,refute_15_133]) ).
cnf(refute_15_143,plain,
( op(e0,e1) = e0
| op(e0,e1) = e1
| op(e0,e1) = e2
| op(e0,e1) = e3
| op(e0,e1) = e4 ),
inference(canonicalize,[],[normalize_15_35]) ).
cnf(refute_15_144,plain,
op(e0,e1) != op(e4,e1),
inference(canonicalize,[],[normalize_15_36]) ).
cnf(refute_15_145,plain,
( op(e0,e1) != e3
| op(e4,e1) != e3
| op(e0,e1) = op(e4,e1) ),
introduced(tautology,[equality,[$cnf( ~ $equal(op(e0,e1),op(e4,e1)) ),[1],$fot(e3)]]) ).
cnf(refute_15_146,plain,
( op(e0,e1) != e3
| op(e0,e1) = op(e4,e1) ),
inference(resolve,[$cnf( $equal(op(e4,e1),e3) )],[refute_15_55,refute_15_145]) ).
cnf(refute_15_147,plain,
op(e0,e1) != e3,
inference(resolve,[$cnf( $equal(op(e0,e1),op(e4,e1)) )],[refute_15_146,refute_15_144]) ).
cnf(refute_15_148,plain,
( op(e0,e1) = e0
| op(e0,e1) = e1
| op(e0,e1) = e2
| op(e0,e1) = e4 ),
inference(resolve,[$cnf( $equal(op(e0,e1),e3) )],[refute_15_143,refute_15_147]) ).
cnf(refute_15_149,plain,
( e4 != e4
| op(e0,e1) != e4
| op(e0,e1) = e4 ),
introduced(tautology,[equality,[$cnf( $equal(op(e0,e1),e4) ),[1],$fot(e4)]]) ).
cnf(refute_15_150,plain,
( e4 != e4
| op(e0,e1) = e0
| op(e0,e1) = e1
| op(e0,e1) = e2
| op(e0,e1) = e4 ),
inference(resolve,[$cnf( $equal(op(e0,e1),e4) )],[refute_15_148,refute_15_149]) ).
cnf(refute_15_151,plain,
( e4 != e4
| op(e0,e1) = e0
| op(e0,e1) = e1
| op(e0,e1) = e2
| definitionFOFtoCNF_136 ),
inference(resolve,[$cnf( $equal(op(e0,e1),e4) )],[refute_15_150,refute_15_142]) ).
cnf(refute_15_152,plain,
e4 = e4,
introduced(tautology,[refl,[$fot(e4)]]) ).
cnf(refute_15_153,plain,
( op(e0,e1) = e0
| op(e0,e1) = e1
| op(e0,e1) = e2
| definitionFOFtoCNF_136 ),
inference(resolve,[$cnf( $equal(e4,e4) )],[refute_15_152,refute_15_151]) ).
cnf(refute_15_154,plain,
( e0 != e0
| op(e0,e1) != e0
| op(e0,e1) = e0 ),
introduced(tautology,[equality,[$cnf( $equal(op(e0,e1),e0) ),[0,0],$fot(e0)]]) ).
cnf(refute_15_155,plain,
( e0 != e0
| op(e0,e1) = e0
| op(e0,e1) = e1
| op(e0,e1) = e2
| definitionFOFtoCNF_136 ),
inference(resolve,[$cnf( $equal(op(e0,e1),e0) )],[refute_15_153,refute_15_154]) ).
cnf(refute_15_156,plain,
( e0 != e0
| op(e0,e1) = e1
| op(e0,e1) = e2
| definitionFOFtoCNF_136 ),
inference(resolve,[$cnf( $equal(op(e0,e1),e0) )],[refute_15_155,refute_15_132]) ).
cnf(refute_15_157,plain,
( op(e0,e1) = e1
| op(e0,e1) = e2
| definitionFOFtoCNF_136 ),
inference(resolve,[$cnf( $equal(e0,e0) )],[refute_15_126,refute_15_156]) ).
cnf(refute_15_158,plain,
op(e0,e1) != op(e2,e1),
inference(canonicalize,[],[normalize_15_37]) ).
cnf(refute_15_159,plain,
op(unit,e1) = e1,
inference(canonicalize,[],[normalize_15_38]) ).
cnf(refute_15_160,plain,
op(unit,e1) = op(unit,e1),
introduced(tautology,[refl,[$fot(op(unit,e1))]]) ).
cnf(refute_15_161,plain,
( op(unit,e1) != op(unit,e1)
| unit != e2
| op(unit,e1) = op(e2,e1) ),
introduced(tautology,[equality,[$cnf( $equal(op(unit,e1),op(unit,e1)) ),[1,0],$fot(e2)]]) ).
cnf(refute_15_162,plain,
( unit != e2
| op(unit,e1) = op(e2,e1) ),
inference(resolve,[$cnf( $equal(op(unit,e1),op(unit,e1)) )],[refute_15_160,refute_15_161]) ).
cnf(refute_15_163,plain,
op(unit,e1) = op(e2,e1),
inference(resolve,[$cnf( $equal(unit,e2) )],[refute_15_92,refute_15_162]) ).
cnf(refute_15_164,plain,
( op(unit,e1) != e1
| op(unit,e1) != op(e2,e1)
| op(e2,e1) = e1 ),
introduced(tautology,[equality,[$cnf( $equal(op(unit,e1),e1) ),[0],$fot(op(e2,e1))]]) ).
cnf(refute_15_165,plain,
( op(unit,e1) != e1
| op(e2,e1) = e1 ),
inference(resolve,[$cnf( $equal(op(unit,e1),op(e2,e1)) )],[refute_15_163,refute_15_164]) ).
cnf(refute_15_166,plain,
op(e2,e1) = e1,
inference(resolve,[$cnf( $equal(op(unit,e1),e1) )],[refute_15_159,refute_15_165]) ).
cnf(refute_15_167,plain,
( op(e0,e1) != e1
| op(e2,e1) != e1
| op(e0,e1) = op(e2,e1) ),
introduced(tautology,[equality,[$cnf( ~ $equal(op(e0,e1),op(e2,e1)) ),[1],$fot(e1)]]) ).
cnf(refute_15_168,plain,
( op(e0,e1) != e1
| op(e0,e1) = op(e2,e1) ),
inference(resolve,[$cnf( $equal(op(e2,e1),e1) )],[refute_15_166,refute_15_167]) ).
cnf(refute_15_169,plain,
op(e0,e1) != e1,
inference(resolve,[$cnf( $equal(op(e0,e1),op(e2,e1)) )],[refute_15_168,refute_15_158]) ).
cnf(refute_15_170,plain,
( op(e0,e1) = e2
| definitionFOFtoCNF_136 ),
inference(resolve,[$cnf( $equal(op(e0,e1),e1) )],[refute_15_157,refute_15_169]) ).
cnf(refute_15_171,plain,
( ~ definitionFOFtoCNF_132
| ~ definitionFOFtoCNF_133
| ~ definitionFOFtoCNF_136
| ~ definitionFOFtoCNF_137
| op(e2,e2) = e1 ),
inference(canonicalize,[],[normalize_15_50]) ).
cnf(refute_15_172,plain,
( op(e4,e4) = e0
| definitionFOFtoCNF_137 ),
inference(canonicalize,[],[normalize_15_52]) ).
cnf(refute_15_173,plain,
( op(e4,e4) != e0
| op(e4,e4) != e1
| e1 = e0 ),
introduced(tautology,[equality,[$cnf( $equal(op(e4,e4),e0) ),[0],$fot(e1)]]) ).
cnf(refute_15_174,plain,
( op(e4,e4) != e0
| e1 = e0 ),
inference(resolve,[$cnf( $equal(op(e4,e4),e1) )],[refute_15_7,refute_15_173]) ).
cnf(refute_15_175,plain,
( e1 = e0
| definitionFOFtoCNF_137 ),
inference(resolve,[$cnf( $equal(op(e4,e4),e0) )],[refute_15_172,refute_15_174]) ).
cnf(refute_15_176,plain,
( e1 != e0
| e0 = e1 ),
inference(subst,[],[refute_15_5:[bind(X,$fot(e1)),bind(Y,$fot(e0))]]) ).
cnf(refute_15_177,plain,
e1 != e0,
inference(resolve,[$cnf( $equal(e0,e1) )],[refute_15_176,refute_15_103]) ).
cnf(refute_15_178,plain,
definitionFOFtoCNF_137,
inference(resolve,[$cnf( $equal(e1,e0) )],[refute_15_175,refute_15_177]) ).
cnf(refute_15_179,plain,
( ~ definitionFOFtoCNF_132
| ~ definitionFOFtoCNF_133
| ~ definitionFOFtoCNF_136
| op(e2,e2) = e1 ),
inference(resolve,[$cnf( definitionFOFtoCNF_137 )],[refute_15_178,refute_15_171]) ).
cnf(refute_15_180,plain,
op(e2,unit) = e2,
inference(canonicalize,[],[normalize_15_53]) ).
cnf(refute_15_181,plain,
op(e2,unit) = op(e2,unit),
introduced(tautology,[refl,[$fot(op(e2,unit))]]) ).
cnf(refute_15_182,plain,
( op(e2,unit) != op(e2,unit)
| unit != e2
| op(e2,unit) = op(e2,e2) ),
introduced(tautology,[equality,[$cnf( $equal(op(e2,unit),op(e2,unit)) ),[1,1],$fot(e2)]]) ).
cnf(refute_15_183,plain,
( unit != e2
| op(e2,unit) = op(e2,e2) ),
inference(resolve,[$cnf( $equal(op(e2,unit),op(e2,unit)) )],[refute_15_181,refute_15_182]) ).
cnf(refute_15_184,plain,
op(e2,unit) = op(e2,e2),
inference(resolve,[$cnf( $equal(unit,e2) )],[refute_15_92,refute_15_183]) ).
cnf(refute_15_185,plain,
( op(e2,unit) != e2
| op(e2,unit) != op(e2,e2)
| op(e2,e2) = e2 ),
introduced(tautology,[equality,[$cnf( $equal(op(e2,unit),e2) ),[0],$fot(op(e2,e2))]]) ).
cnf(refute_15_186,plain,
( op(e2,unit) != e2
| op(e2,e2) = e2 ),
inference(resolve,[$cnf( $equal(op(e2,unit),op(e2,e2)) )],[refute_15_184,refute_15_185]) ).
cnf(refute_15_187,plain,
op(e2,e2) = e2,
inference(resolve,[$cnf( $equal(op(e2,unit),e2) )],[refute_15_180,refute_15_186]) ).
cnf(refute_15_188,plain,
( op(e2,e2) != e1
| op(e2,e2) != e2
| e2 = e1 ),
introduced(tautology,[equality,[$cnf( $equal(op(e2,e2),e1) ),[0],$fot(e2)]]) ).
cnf(refute_15_189,plain,
( op(e2,e2) != e1
| e2 = e1 ),
inference(resolve,[$cnf( $equal(op(e2,e2),e2) )],[refute_15_187,refute_15_188]) ).
cnf(refute_15_190,plain,
( ~ definitionFOFtoCNF_132
| ~ definitionFOFtoCNF_133
| ~ definitionFOFtoCNF_136
| e2 = e1 ),
inference(resolve,[$cnf( $equal(op(e2,e2),e1) )],[refute_15_179,refute_15_189]) ).
cnf(refute_15_191,plain,
( definitionFOFtoCNF_132
| definitionFOFtoCNF_136 ),
inference(canonicalize,[],[normalize_15_54]) ).
cnf(refute_15_192,plain,
( op(e1,e1) != e4
| op(e4,e4) != e1
| ~ definitionFOFtoCNF_136
| op(e1,e4) = e1 ),
inference(canonicalize,[],[normalize_15_55]) ).
cnf(refute_15_193,plain,
( e1 != e1
| op(e4,e4) != e1
| op(e4,e4) = e1 ),
introduced(tautology,[equality,[$cnf( $equal(op(e4,e4),e1) ),[1],$fot(e1)]]) ).
cnf(refute_15_194,plain,
( e1 != e1
| op(e4,e4) = e1 ),
inference(resolve,[$cnf( $equal(op(e4,e4),e1) )],[refute_15_7,refute_15_193]) ).
cnf(refute_15_195,plain,
( e1 != e1
| op(e1,e1) != e4
| ~ definitionFOFtoCNF_136
| op(e1,e4) = e1 ),
inference(resolve,[$cnf( $equal(op(e4,e4),e1) )],[refute_15_194,refute_15_192]) ).
cnf(refute_15_196,plain,
( op(e1,e4) != e0
| op(e1,e4) != e1
| e0 = e1 ),
introduced(tautology,[equality,[$cnf( $equal(op(e1,e4),e1) ),[0],$fot(e0)]]) ).
cnf(refute_15_197,plain,
( op(e1,e4) != e1
| e0 = e1 ),
inference(resolve,[$cnf( $equal(op(e1,e4),e0) )],[refute_15_29,refute_15_196]) ).
cnf(refute_15_198,plain,
( e1 != e1
| op(e1,e1) != e4
| ~ definitionFOFtoCNF_136
| e0 = e1 ),
inference(resolve,[$cnf( $equal(op(e1,e4),e1) )],[refute_15_195,refute_15_197]) ).
cnf(refute_15_199,plain,
e1 = e1,
introduced(tautology,[refl,[$fot(e1)]]) ).
cnf(refute_15_200,plain,
( op(e1,e1) != e4
| ~ definitionFOFtoCNF_136
| e0 = e1 ),
inference(resolve,[$cnf( $equal(e1,e1) )],[refute_15_199,refute_15_198]) ).
cnf(refute_15_201,plain,
( op(e1,e1) != e4
| ~ definitionFOFtoCNF_136 ),
inference(resolve,[$cnf( $equal(e0,e1) )],[refute_15_200,refute_15_103]) ).
cnf(refute_15_202,plain,
( op(e1,e1) = e4
| op(e4,e4) = e0
| definitionFOFtoCNF_138
| definitionFOFtoCNF_141
| definitionFOFtoCNF_142 ),
inference(canonicalize,[],[normalize_15_69]) ).
cnf(refute_15_203,plain,
( e1 = e0
| op(e1,e1) = e4
| definitionFOFtoCNF_138
| definitionFOFtoCNF_141
| definitionFOFtoCNF_142 ),
inference(resolve,[$cnf( $equal(op(e4,e4),e0) )],[refute_15_202,refute_15_174]) ).
cnf(refute_15_204,plain,
( op(e1,e1) = e4
| definitionFOFtoCNF_138
| definitionFOFtoCNF_141
| definitionFOFtoCNF_142 ),
inference(resolve,[$cnf( $equal(e1,e0) )],[refute_15_203,refute_15_177]) ).
cnf(refute_15_205,plain,
( ~ definitionFOFtoCNF_141
| op(e4,e4) = e2
| op(e4,e4) = e3 ),
inference(canonicalize,[],[normalize_15_71]) ).
cnf(refute_15_206,plain,
( op(e4,e4) != e1
| op(e4,e4) != e2
| e1 = e2 ),
introduced(tautology,[equality,[$cnf( $equal(op(e4,e4),e2) ),[0],$fot(e1)]]) ).
cnf(refute_15_207,plain,
( op(e4,e4) != e2
| e1 = e2 ),
inference(resolve,[$cnf( $equal(op(e4,e4),e1) )],[refute_15_7,refute_15_206]) ).
cnf(refute_15_208,plain,
( ~ definitionFOFtoCNF_141
| e1 = e2
| op(e4,e4) = e3 ),
inference(resolve,[$cnf( $equal(op(e4,e4),e2) )],[refute_15_205,refute_15_207]) ).
cnf(refute_15_209,plain,
( op(e4,e4) != e1
| op(e4,e4) != e3
| e1 = e3 ),
introduced(tautology,[equality,[$cnf( $equal(op(e4,e4),e3) ),[0],$fot(e1)]]) ).
cnf(refute_15_210,plain,
( op(e4,e4) != e3
| e1 = e3 ),
inference(resolve,[$cnf( $equal(op(e4,e4),e1) )],[refute_15_7,refute_15_209]) ).
cnf(refute_15_211,plain,
( ~ definitionFOFtoCNF_141
| e1 = e2
| e1 = e3 ),
inference(resolve,[$cnf( $equal(op(e4,e4),e3) )],[refute_15_208,refute_15_210]) ).
cnf(refute_15_212,plain,
e1 != e2,
inference(canonicalize,[],[normalize_15_72]) ).
cnf(refute_15_213,plain,
( ~ definitionFOFtoCNF_141
| e1 = e3 ),
inference(resolve,[$cnf( $equal(e1,e2) )],[refute_15_211,refute_15_212]) ).
cnf(refute_15_214,plain,
op(e4,e1) != op(e4,e4),
inference(canonicalize,[],[normalize_15_73]) ).
cnf(refute_15_215,plain,
( e3 != op(e4,e4)
| op(e4,e1) != e3
| op(e4,e1) = op(e4,e4) ),
introduced(tautology,[equality,[$cnf( $equal(op(e4,e1),e3) ),[1],$fot(op(e4,e4))]]) ).
cnf(refute_15_216,plain,
( e3 != op(e4,e4)
| op(e4,e1) = op(e4,e4) ),
inference(resolve,[$cnf( $equal(op(e4,e1),e3) )],[refute_15_55,refute_15_215]) ).
cnf(refute_15_217,plain,
( e3 != e1
| op(e4,e4) != e1
| e3 = op(e4,e4) ),
introduced(tautology,[equality,[$cnf( ~ $equal(e3,op(e4,e4)) ),[1],$fot(e1)]]) ).
cnf(refute_15_218,plain,
( e3 != e1
| e3 = op(e4,e4) ),
inference(resolve,[$cnf( $equal(op(e4,e4),e1) )],[refute_15_7,refute_15_217]) ).
cnf(refute_15_219,plain,
( e3 != e1
| op(e4,e1) = op(e4,e4) ),
inference(resolve,[$cnf( $equal(e3,op(e4,e4)) )],[refute_15_218,refute_15_216]) ).
cnf(refute_15_220,plain,
e3 != e1,
inference(resolve,[$cnf( $equal(op(e4,e1),op(e4,e4)) )],[refute_15_219,refute_15_214]) ).
cnf(refute_15_221,plain,
( e1 != e3
| e3 = e1 ),
inference(subst,[],[refute_15_5:[bind(X,$fot(e1)),bind(Y,$fot(e3))]]) ).
cnf(refute_15_222,plain,
e1 != e3,
inference(resolve,[$cnf( $equal(e3,e1) )],[refute_15_221,refute_15_220]) ).
cnf(refute_15_223,plain,
~ definitionFOFtoCNF_141,
inference(resolve,[$cnf( $equal(e1,e3) )],[refute_15_213,refute_15_222]) ).
cnf(refute_15_224,plain,
( op(e1,e1) = e4
| definitionFOFtoCNF_138
| definitionFOFtoCNF_142 ),
inference(resolve,[$cnf( definitionFOFtoCNF_141 )],[refute_15_204,refute_15_223]) ).
cnf(refute_15_225,plain,
( ~ definitionFOFtoCNF_142
| op(e4,e4) = e3 ),
inference(canonicalize,[],[normalize_15_75]) ).
cnf(refute_15_226,plain,
( ~ definitionFOFtoCNF_142
| e1 = e3 ),
inference(resolve,[$cnf( $equal(op(e4,e4),e3) )],[refute_15_225,refute_15_210]) ).
cnf(refute_15_227,plain,
~ definitionFOFtoCNF_142,
inference(resolve,[$cnf( $equal(e1,e3) )],[refute_15_226,refute_15_222]) ).
cnf(refute_15_228,plain,
( op(e1,e1) = e4
| definitionFOFtoCNF_138 ),
inference(resolve,[$cnf( definitionFOFtoCNF_142 )],[refute_15_224,refute_15_227]) ).
cnf(refute_15_229,plain,
( e4 != e4
| op(e1,e1) != e4
| op(e1,e1) = e4 ),
introduced(tautology,[equality,[$cnf( $equal(op(e1,e1),e4) ),[1],$fot(e4)]]) ).
cnf(refute_15_230,plain,
( e4 != e4
| op(e1,e1) = e4
| definitionFOFtoCNF_138 ),
inference(resolve,[$cnf( $equal(op(e1,e1),e4) )],[refute_15_228,refute_15_229]) ).
cnf(refute_15_231,plain,
( e4 != e4
| ~ definitionFOFtoCNF_136
| definitionFOFtoCNF_138 ),
inference(resolve,[$cnf( $equal(op(e1,e1),e4) )],[refute_15_230,refute_15_201]) ).
cnf(refute_15_232,plain,
( ~ definitionFOFtoCNF_136
| definitionFOFtoCNF_138 ),
inference(resolve,[$cnf( $equal(e4,e4) )],[refute_15_152,refute_15_231]) ).
cnf(refute_15_233,plain,
( definitionFOFtoCNF_132
| definitionFOFtoCNF_138 ),
inference(resolve,[$cnf( definitionFOFtoCNF_136 )],[refute_15_191,refute_15_232]) ).
cnf(refute_15_234,plain,
( ~ definitionFOFtoCNF_138
| ~ definitionFOFtoCNF_139
| ~ definitionFOFtoCNF_140
| op(e1,e1) = e3
| op(e3,e3) = e2
| definitionFOFtoCNF_132 ),
inference(canonicalize,[],[normalize_15_77]) ).
cnf(refute_15_235,plain,
( ~ definitionFOFtoCNF_138
| ~ definitionFOFtoCNF_139
| ~ definitionFOFtoCNF_140
| op(e3,e3) = e2
| definitionFOFtoCNF_132 ),
inference(resolve,[$cnf( $equal(op(e1,e1),e3) )],[refute_15_234,refute_15_138]) ).
cnf(refute_15_236,plain,
( op(e3,e3) = e2
| op(e4,e4) = e2
| definitionFOFtoCNF_139 ),
inference(canonicalize,[],[normalize_15_79]) ).
cnf(refute_15_237,plain,
( e1 = e2
| op(e3,e3) = e2
| definitionFOFtoCNF_139 ),
inference(resolve,[$cnf( $equal(op(e4,e4),e2) )],[refute_15_236,refute_15_207]) ).
cnf(refute_15_238,plain,
( op(e3,e3) = e2
| definitionFOFtoCNF_139 ),
inference(resolve,[$cnf( $equal(e1,e2) )],[refute_15_237,refute_15_212]) ).
cnf(refute_15_239,plain,
op(e3,e3) != op(e3,e4),
inference(canonicalize,[],[normalize_15_80]) ).
cnf(refute_15_240,plain,
( op(e3,e3) != e2
| op(e3,e4) != e2
| op(e3,e3) = op(e3,e4) ),
introduced(tautology,[equality,[$cnf( ~ $equal(op(e3,e3),op(e3,e4)) ),[1],$fot(e2)]]) ).
cnf(refute_15_241,plain,
( op(e3,e3) != e2
| op(e3,e3) = op(e3,e4) ),
inference(resolve,[$cnf( $equal(op(e3,e4),e2) )],[refute_15_64,refute_15_240]) ).
cnf(refute_15_242,plain,
op(e3,e3) != e2,
inference(resolve,[$cnf( $equal(op(e3,e3),op(e3,e4)) )],[refute_15_241,refute_15_239]) ).
cnf(refute_15_243,plain,
definitionFOFtoCNF_139,
inference(resolve,[$cnf( $equal(op(e3,e3),e2) )],[refute_15_238,refute_15_242]) ).
cnf(refute_15_244,plain,
( ~ definitionFOFtoCNF_138
| ~ definitionFOFtoCNF_140
| op(e3,e3) = e2
| definitionFOFtoCNF_132 ),
inference(resolve,[$cnf( definitionFOFtoCNF_139 )],[refute_15_243,refute_15_235]) ).
cnf(refute_15_245,plain,
( ~ definitionFOFtoCNF_138
| ~ definitionFOFtoCNF_140
| definitionFOFtoCNF_132 ),
inference(resolve,[$cnf( $equal(op(e3,e3),e2) )],[refute_15_244,refute_15_242]) ).
cnf(refute_15_246,plain,
op(e0,e3) != op(e3,e3),
inference(canonicalize,[],[normalize_15_81]) ).
cnf(refute_15_247,plain,
( op(e3,e3) = e0
| definitionFOFtoCNF_140 ),
inference(canonicalize,[],[normalize_15_83]) ).
cnf(refute_15_248,plain,
( op(e0,e3) != e0
| op(e3,e3) != e0
| op(e0,e3) = op(e3,e3) ),
introduced(tautology,[equality,[$cnf( ~ $equal(op(e0,e3),op(e3,e3)) ),[1],$fot(e0)]]) ).
cnf(refute_15_249,plain,
( op(e0,e3) != e0
| op(e0,e3) = op(e3,e3)
| definitionFOFtoCNF_140 ),
inference(resolve,[$cnf( $equal(op(e3,e3),e0) )],[refute_15_247,refute_15_248]) ).
cnf(refute_15_250,plain,
( op(e0,e3) != e0
| definitionFOFtoCNF_140 ),
inference(resolve,[$cnf( $equal(op(e0,e3),op(e3,e3)) )],[refute_15_249,refute_15_246]) ).
cnf(refute_15_251,plain,
( definitionFOFtoCNF_132
| definitionFOFtoCNF_133 ),
inference(canonicalize,[],[normalize_15_84]) ).
cnf(refute_15_252,plain,
( op(e0,e0) != e3
| op(e3,e3) != e0
| ~ definitionFOFtoCNF_133
| op(e0,e3) = e0 ),
inference(canonicalize,[],[normalize_15_86]) ).
cnf(refute_15_253,plain,
( e0 != e0
| op(e3,e3) != e0
| op(e3,e3) = e0 ),
introduced(tautology,[equality,[$cnf( $equal(op(e3,e3),e0) ),[1],$fot(e0)]]) ).
cnf(refute_15_254,plain,
( e0 != e0
| op(e3,e3) = e0
| definitionFOFtoCNF_140 ),
inference(resolve,[$cnf( $equal(op(e3,e3),e0) )],[refute_15_247,refute_15_253]) ).
cnf(refute_15_255,plain,
( e0 != e0
| op(e0,e0) != e3
| ~ definitionFOFtoCNF_133
| op(e0,e3) = e0
| definitionFOFtoCNF_140 ),
inference(resolve,[$cnf( $equal(op(e3,e3),e0) )],[refute_15_254,refute_15_252]) ).
cnf(refute_15_256,plain,
( op(e0,e0) != e3
| ~ definitionFOFtoCNF_133
| op(e0,e3) = e0
| definitionFOFtoCNF_140 ),
inference(resolve,[$cnf( $equal(e0,e0) )],[refute_15_126,refute_15_255]) ).
cnf(refute_15_257,plain,
( op(e0,e0) = e3
| definitionFOFtoCNF_140 ),
inference(canonicalize,[],[normalize_15_87]) ).
cnf(refute_15_258,plain,
( e3 != e3
| op(e0,e0) != e3
| op(e0,e0) = e3 ),
introduced(tautology,[equality,[$cnf( $equal(op(e0,e0),e3) ),[1],$fot(e3)]]) ).
cnf(refute_15_259,plain,
( e3 != e3
| op(e0,e0) = e3
| definitionFOFtoCNF_140 ),
inference(resolve,[$cnf( $equal(op(e0,e0),e3) )],[refute_15_257,refute_15_258]) ).
cnf(refute_15_260,plain,
( e3 != e3
| ~ definitionFOFtoCNF_133
| op(e0,e3) = e0
| definitionFOFtoCNF_140 ),
inference(resolve,[$cnf( $equal(op(e0,e0),e3) )],[refute_15_259,refute_15_256]) ).
cnf(refute_15_261,plain,
( ~ definitionFOFtoCNF_133
| op(e0,e3) = e0
| definitionFOFtoCNF_140 ),
inference(resolve,[$cnf( $equal(e3,e3) )],[refute_15_91,refute_15_260]) ).
cnf(refute_15_262,plain,
( op(e0,e3) = e0
| definitionFOFtoCNF_132
| definitionFOFtoCNF_140 ),
inference(resolve,[$cnf( definitionFOFtoCNF_133 )],[refute_15_251,refute_15_261]) ).
cnf(refute_15_263,plain,
( e0 != e0
| op(e0,e3) != e0
| op(e0,e3) = e0 ),
introduced(tautology,[equality,[$cnf( $equal(op(e0,e3),e0) ),[0,0],$fot(e0)]]) ).
cnf(refute_15_264,plain,
( e0 != e0
| op(e0,e3) = e0
| definitionFOFtoCNF_132
| definitionFOFtoCNF_140 ),
inference(resolve,[$cnf( $equal(op(e0,e3),e0) )],[refute_15_262,refute_15_263]) ).
cnf(refute_15_265,plain,
( e0 != e0
| definitionFOFtoCNF_132
| definitionFOFtoCNF_140 ),
inference(resolve,[$cnf( $equal(op(e0,e3),e0) )],[refute_15_264,refute_15_250]) ).
cnf(refute_15_266,plain,
( definitionFOFtoCNF_132
| definitionFOFtoCNF_140 ),
inference(resolve,[$cnf( $equal(e0,e0) )],[refute_15_126,refute_15_265]) ).
cnf(refute_15_267,plain,
( ~ definitionFOFtoCNF_138
| definitionFOFtoCNF_132 ),
inference(resolve,[$cnf( definitionFOFtoCNF_140 )],[refute_15_266,refute_15_245]) ).
cnf(refute_15_268,plain,
definitionFOFtoCNF_132,
inference(resolve,[$cnf( definitionFOFtoCNF_138 )],[refute_15_233,refute_15_267]) ).
cnf(refute_15_269,plain,
( ~ definitionFOFtoCNF_133
| ~ definitionFOFtoCNF_136
| e2 = e1 ),
inference(resolve,[$cnf( definitionFOFtoCNF_132 )],[refute_15_268,refute_15_190]) ).
cnf(refute_15_270,plain,
( ~ definitionFOFtoCNF_134
| ~ definitionFOFtoCNF_135
| op(e0,e0) = e3
| op(e2,e2) = e0
| definitionFOFtoCNF_133 ),
inference(canonicalize,[],[normalize_15_88]) ).
cnf(refute_15_271,plain,
( op(e1,e1) = e0
| definitionFOFtoCNF_134 ),
inference(canonicalize,[],[normalize_15_90]) ).
cnf(refute_15_272,plain,
op(e1,e1) != op(e1,e4),
inference(canonicalize,[],[normalize_15_91]) ).
cnf(refute_15_273,plain,
( op(e1,e1) != e0
| op(e1,e4) != e0
| op(e1,e1) = op(e1,e4) ),
introduced(tautology,[equality,[$cnf( ~ $equal(op(e1,e1),op(e1,e4)) ),[1],$fot(e0)]]) ).
cnf(refute_15_274,plain,
( op(e1,e1) != e0
| op(e1,e1) = op(e1,e4) ),
inference(resolve,[$cnf( $equal(op(e1,e4),e0) )],[refute_15_29,refute_15_273]) ).
cnf(refute_15_275,plain,
op(e1,e1) != e0,
inference(resolve,[$cnf( $equal(op(e1,e1),op(e1,e4)) )],[refute_15_274,refute_15_272]) ).
cnf(refute_15_276,plain,
definitionFOFtoCNF_134,
inference(resolve,[$cnf( $equal(op(e1,e1),e0) )],[refute_15_271,refute_15_275]) ).
cnf(refute_15_277,plain,
( ~ definitionFOFtoCNF_135
| op(e0,e0) = e3
| op(e2,e2) = e0
| definitionFOFtoCNF_133 ),
inference(resolve,[$cnf( definitionFOFtoCNF_134 )],[refute_15_276,refute_15_270]) ).
cnf(refute_15_278,plain,
( op(e2,e2) != e0
| op(e2,e2) != e2
| e2 = e0 ),
introduced(tautology,[equality,[$cnf( $equal(op(e2,e2),e0) ),[0],$fot(e2)]]) ).
cnf(refute_15_279,plain,
( op(e2,e2) != e0
| e2 = e0 ),
inference(resolve,[$cnf( $equal(op(e2,e2),e2) )],[refute_15_187,refute_15_278]) ).
cnf(refute_15_280,plain,
( ~ definitionFOFtoCNF_135
| e2 = e0
| op(e0,e0) = e3
| definitionFOFtoCNF_133 ),
inference(resolve,[$cnf( $equal(op(e2,e2),e0) )],[refute_15_277,refute_15_279]) ).
cnf(refute_15_281,plain,
( op(e2,e2) = e0
| definitionFOFtoCNF_135 ),
inference(canonicalize,[],[normalize_15_93]) ).
cnf(refute_15_282,plain,
op(unit,e2) = e2,
inference(canonicalize,[],[normalize_15_94]) ).
cnf(refute_15_283,plain,
( op(unit,e2) != e2
| unit != e2
| op(e2,e2) = e2 ),
introduced(tautology,[equality,[$cnf( $equal(op(unit,e2),e2) ),[0,0],$fot(e2)]]) ).
cnf(refute_15_284,plain,
( op(unit,e2) != e2
| op(e2,e2) = e2
| unit = e0 ),
inference(resolve,[$cnf( $equal(unit,e2) )],[refute_15_77,refute_15_283]) ).
cnf(refute_15_285,plain,
( op(e2,e2) = e2
| unit = e0 ),
inference(resolve,[$cnf( $equal(op(unit,e2),e2) )],[refute_15_282,refute_15_284]) ).
cnf(refute_15_286,plain,
( op(e2,e2) != e0
| e2 = e0
| unit = e0 ),
inference(resolve,[$cnf( $equal(op(e2,e2),e2) )],[refute_15_285,refute_15_278]) ).
cnf(refute_15_287,plain,
( e2 = e0
| unit = e0
| definitionFOFtoCNF_135 ),
inference(resolve,[$cnf( $equal(op(e2,e2),e0) )],[refute_15_281,refute_15_286]) ).
cnf(refute_15_288,plain,
e0 != e2,
inference(canonicalize,[],[normalize_15_95]) ).
cnf(refute_15_289,plain,
( e2 != e0
| e0 = e2 ),
inference(subst,[],[refute_15_5:[bind(X,$fot(e2)),bind(Y,$fot(e0))]]) ).
cnf(refute_15_290,plain,
e2 != e0,
inference(resolve,[$cnf( $equal(e0,e2) )],[refute_15_289,refute_15_288]) ).
cnf(refute_15_291,plain,
( unit = e0
| definitionFOFtoCNF_135 ),
inference(resolve,[$cnf( $equal(e2,e0) )],[refute_15_287,refute_15_290]) ).
cnf(refute_15_292,plain,
op(e0,e0) != op(e0,e2),
inference(canonicalize,[],[normalize_15_96]) ).
cnf(refute_15_293,plain,
( op(e0,e0) = e2
| definitionFOFtoCNF_135 ),
inference(canonicalize,[],[normalize_15_97]) ).
cnf(refute_15_294,plain,
( e2 != op(e0,e2)
| op(e0,e0) != e2
| op(e0,e0) = op(e0,e2) ),
introduced(tautology,[equality,[$cnf( $equal(op(e0,e0),e2) ),[1],$fot(op(e0,e2))]]) ).
cnf(refute_15_295,plain,
( e2 != op(e0,e2)
| op(e0,e0) = op(e0,e2)
| definitionFOFtoCNF_135 ),
inference(resolve,[$cnf( $equal(op(e0,e0),e2) )],[refute_15_293,refute_15_294]) ).
cnf(refute_15_296,plain,
( e2 != op(e0,e2)
| definitionFOFtoCNF_135 ),
inference(resolve,[$cnf( $equal(op(e0,e0),op(e0,e2)) )],[refute_15_295,refute_15_292]) ).
cnf(refute_15_297,plain,
( op(unit,e2) != e2
| unit != e0
| op(e0,e2) = e2 ),
introduced(tautology,[equality,[$cnf( $equal(op(unit,e2),e2) ),[0,0],$fot(e0)]]) ).
cnf(refute_15_298,plain,
( op(unit,e2) != e2
| op(e0,e2) = e2
| unit = e2 ),
inference(resolve,[$cnf( $equal(unit,e0) )],[refute_15_77,refute_15_297]) ).
cnf(refute_15_299,plain,
( op(e0,e2) = e2
| unit = e2 ),
inference(resolve,[$cnf( $equal(op(unit,e2),e2) )],[refute_15_282,refute_15_298]) ).
cnf(refute_15_300,plain,
( e2 != e2
| op(e0,e2) != e2
| e2 = op(e0,e2) ),
introduced(tautology,[equality,[$cnf( ~ $equal(e2,op(e0,e2)) ),[1],$fot(e2)]]) ).
cnf(refute_15_301,plain,
( e2 != e2
| e2 = op(e0,e2)
| unit = e2 ),
inference(resolve,[$cnf( $equal(op(e0,e2),e2) )],[refute_15_299,refute_15_300]) ).
cnf(refute_15_302,plain,
( e2 != e2
| unit = e2
| definitionFOFtoCNF_135 ),
inference(resolve,[$cnf( $equal(e2,op(e0,e2)) )],[refute_15_301,refute_15_296]) ).
cnf(refute_15_303,plain,
e2 = e2,
introduced(tautology,[refl,[$fot(e2)]]) ).
cnf(refute_15_304,plain,
( unit = e2
| definitionFOFtoCNF_135 ),
inference(resolve,[$cnf( $equal(e2,e2) )],[refute_15_303,refute_15_302]) ).
cnf(refute_15_305,plain,
( unit != e0
| unit != e2
| e2 = e0 ),
introduced(tautology,[equality,[$cnf( $equal(unit,e0) ),[0],$fot(e2)]]) ).
cnf(refute_15_306,plain,
( unit != e0
| e2 = e0
| definitionFOFtoCNF_135 ),
inference(resolve,[$cnf( $equal(unit,e2) )],[refute_15_304,refute_15_305]) ).
cnf(refute_15_307,plain,
( e2 = e0
| definitionFOFtoCNF_135 ),
inference(resolve,[$cnf( $equal(unit,e0) )],[refute_15_291,refute_15_306]) ).
cnf(refute_15_308,plain,
definitionFOFtoCNF_135,
inference(resolve,[$cnf( $equal(e2,e0) )],[refute_15_307,refute_15_290]) ).
cnf(refute_15_309,plain,
( e2 = e0
| op(e0,e0) = e3
| definitionFOFtoCNF_133 ),
inference(resolve,[$cnf( definitionFOFtoCNF_135 )],[refute_15_308,refute_15_280]) ).
cnf(refute_15_310,plain,
( op(e0,e0) = e3
| definitionFOFtoCNF_133 ),
inference(resolve,[$cnf( $equal(e2,e0) )],[refute_15_309,refute_15_290]) ).
cnf(refute_15_311,plain,
op(e0,e0) != op(e0,e4),
inference(canonicalize,[],[normalize_15_98]) ).
cnf(refute_15_312,plain,
op(e0,e4) != op(e2,e4),
inference(canonicalize,[],[normalize_15_99]) ).
cnf(refute_15_313,plain,
( op(e0,e4) = e0
| op(e0,e4) = e1
| op(e0,e4) = e2
| op(e0,e4) = e3
| op(e0,e4) = e4 ),
inference(canonicalize,[],[normalize_15_100]) ).
cnf(refute_15_314,plain,
op(e0,e4) != op(e4,e4),
inference(canonicalize,[],[normalize_15_101]) ).
cnf(refute_15_315,plain,
( op(e0,e4) != e1
| op(e4,e4) != e1
| op(e0,e4) = op(e4,e4) ),
introduced(tautology,[equality,[$cnf( ~ $equal(op(e0,e4),op(e4,e4)) ),[1],$fot(e1)]]) ).
cnf(refute_15_316,plain,
( op(e0,e4) != e1
| op(e0,e4) = op(e4,e4) ),
inference(resolve,[$cnf( $equal(op(e4,e4),e1) )],[refute_15_7,refute_15_315]) ).
cnf(refute_15_317,plain,
op(e0,e4) != e1,
inference(resolve,[$cnf( $equal(op(e0,e4),op(e4,e4)) )],[refute_15_316,refute_15_314]) ).
cnf(refute_15_318,plain,
( op(e0,e4) = e0
| op(e0,e4) = e2
| op(e0,e4) = e3
| op(e0,e4) = e4 ),
inference(resolve,[$cnf( $equal(op(e0,e4),e1) )],[refute_15_313,refute_15_317]) ).
cnf(refute_15_319,plain,
op(e0,e4) != op(e1,e4),
inference(canonicalize,[],[normalize_15_102]) ).
cnf(refute_15_320,plain,
( op(e0,e4) != e0
| op(e1,e4) != e0
| op(e0,e4) = op(e1,e4) ),
introduced(tautology,[equality,[$cnf( ~ $equal(op(e0,e4),op(e1,e4)) ),[1],$fot(e0)]]) ).
cnf(refute_15_321,plain,
( op(e0,e4) != e0
| op(e0,e4) = op(e1,e4) ),
inference(resolve,[$cnf( $equal(op(e1,e4),e0) )],[refute_15_29,refute_15_320]) ).
cnf(refute_15_322,plain,
op(e0,e4) != e0,
inference(resolve,[$cnf( $equal(op(e0,e4),op(e1,e4)) )],[refute_15_321,refute_15_319]) ).
cnf(refute_15_323,plain,
( op(e0,e4) = e2
| op(e0,e4) = e3
| op(e0,e4) = e4 ),
inference(resolve,[$cnf( $equal(op(e0,e4),e0) )],[refute_15_318,refute_15_322]) ).
cnf(refute_15_324,plain,
op(e0,e4) != op(e3,e4),
inference(canonicalize,[],[normalize_15_103]) ).
cnf(refute_15_325,plain,
( op(e0,e4) != e2
| op(e3,e4) != e2
| op(e0,e4) = op(e3,e4) ),
introduced(tautology,[equality,[$cnf( ~ $equal(op(e0,e4),op(e3,e4)) ),[1],$fot(e2)]]) ).
cnf(refute_15_326,plain,
( op(e0,e4) != e2
| op(e0,e4) = op(e3,e4) ),
inference(resolve,[$cnf( $equal(op(e3,e4),e2) )],[refute_15_64,refute_15_325]) ).
cnf(refute_15_327,plain,
op(e0,e4) != e2,
inference(resolve,[$cnf( $equal(op(e0,e4),op(e3,e4)) )],[refute_15_326,refute_15_324]) ).
cnf(refute_15_328,plain,
( op(e0,e4) = e3
| op(e0,e4) = e4 ),
inference(resolve,[$cnf( $equal(op(e0,e4),e2) )],[refute_15_323,refute_15_327]) ).
cnf(refute_15_329,plain,
( e4 != op(e2,e4)
| op(e0,e4) != e4
| op(e0,e4) = op(e2,e4) ),
introduced(tautology,[equality,[$cnf( $equal(op(e0,e4),e4) ),[1],$fot(op(e2,e4))]]) ).
cnf(refute_15_330,plain,
( e4 != op(e2,e4)
| op(e0,e4) = e3
| op(e0,e4) = op(e2,e4) ),
inference(resolve,[$cnf( $equal(op(e0,e4),e4) )],[refute_15_328,refute_15_329]) ).
cnf(refute_15_331,plain,
( e4 != op(e2,e4)
| op(e0,e4) = e3 ),
inference(resolve,[$cnf( $equal(op(e0,e4),op(e2,e4)) )],[refute_15_330,refute_15_312]) ).
cnf(refute_15_332,plain,
( op(e2,e4) = e0
| op(e2,e4) = e1
| op(e2,e4) = e2
| op(e2,e4) = e3
| op(e2,e4) = e4 ),
inference(canonicalize,[],[normalize_15_104]) ).
cnf(refute_15_333,plain,
op(e2,e4) != op(e4,e4),
inference(canonicalize,[],[normalize_15_105]) ).
cnf(refute_15_334,plain,
( op(e2,e4) != e1
| op(e4,e4) != e1
| op(e2,e4) = op(e4,e4) ),
introduced(tautology,[equality,[$cnf( ~ $equal(op(e2,e4),op(e4,e4)) ),[1],$fot(e1)]]) ).
cnf(refute_15_335,plain,
( op(e2,e4) != e1
| op(e2,e4) = op(e4,e4) ),
inference(resolve,[$cnf( $equal(op(e4,e4),e1) )],[refute_15_7,refute_15_334]) ).
cnf(refute_15_336,plain,
op(e2,e4) != e1,
inference(resolve,[$cnf( $equal(op(e2,e4),op(e4,e4)) )],[refute_15_335,refute_15_333]) ).
cnf(refute_15_337,plain,
( op(e2,e4) = e0
| op(e2,e4) = e2
| op(e2,e4) = e3
| op(e2,e4) = e4 ),
inference(resolve,[$cnf( $equal(op(e2,e4),e1) )],[refute_15_332,refute_15_336]) ).
cnf(refute_15_338,plain,
op(e1,e4) != op(e2,e4),
inference(canonicalize,[],[normalize_15_106]) ).
cnf(refute_15_339,plain,
( e0 != op(e2,e4)
| op(e1,e4) != e0
| op(e1,e4) = op(e2,e4) ),
introduced(tautology,[equality,[$cnf( $equal(op(e1,e4),e0) ),[1],$fot(op(e2,e4))]]) ).
cnf(refute_15_340,plain,
( e0 != op(e2,e4)
| op(e1,e4) = op(e2,e4) ),
inference(resolve,[$cnf( $equal(op(e1,e4),e0) )],[refute_15_29,refute_15_339]) ).
cnf(refute_15_341,plain,
e0 != op(e2,e4),
inference(resolve,[$cnf( $equal(op(e1,e4),op(e2,e4)) )],[refute_15_340,refute_15_338]) ).
cnf(refute_15_342,plain,
( op(e2,e4) != e0
| e0 = op(e2,e4) ),
inference(subst,[],[refute_15_5:[bind(X,$fot(op(e2,e4))),bind(Y,$fot(e0))]]) ).
cnf(refute_15_343,plain,
op(e2,e4) != e0,
inference(resolve,[$cnf( $equal(e0,op(e2,e4)) )],[refute_15_342,refute_15_341]) ).
cnf(refute_15_344,plain,
( op(e2,e4) = e2
| op(e2,e4) = e3
| op(e2,e4) = e4 ),
inference(resolve,[$cnf( $equal(op(e2,e4),e0) )],[refute_15_337,refute_15_343]) ).
cnf(refute_15_345,plain,
op(e2,e4) != op(e3,e4),
inference(canonicalize,[],[normalize_15_107]) ).
cnf(refute_15_346,plain,
( op(e2,e4) != e2
| op(e3,e4) != e2
| op(e2,e4) = op(e3,e4) ),
introduced(tautology,[equality,[$cnf( ~ $equal(op(e2,e4),op(e3,e4)) ),[1],$fot(e2)]]) ).
cnf(refute_15_347,plain,
( op(e2,e4) != e2
| op(e2,e4) = op(e3,e4) ),
inference(resolve,[$cnf( $equal(op(e3,e4),e2) )],[refute_15_64,refute_15_346]) ).
cnf(refute_15_348,plain,
op(e2,e4) != e2,
inference(resolve,[$cnf( $equal(op(e2,e4),op(e3,e4)) )],[refute_15_347,refute_15_345]) ).
cnf(refute_15_349,plain,
( op(e2,e4) = e3
| op(e2,e4) = e4 ),
inference(resolve,[$cnf( $equal(op(e2,e4),e2) )],[refute_15_344,refute_15_348]) ).
cnf(refute_15_350,plain,
( e4 != e4
| op(e2,e4) != e4
| e4 = op(e2,e4) ),
introduced(tautology,[equality,[$cnf( ~ $equal(e4,op(e2,e4)) ),[1],$fot(e4)]]) ).
cnf(refute_15_351,plain,
( e4 != e4
| e4 = op(e2,e4)
| op(e2,e4) = e3 ),
inference(resolve,[$cnf( $equal(op(e2,e4),e4) )],[refute_15_349,refute_15_350]) ).
cnf(refute_15_352,plain,
( e4 != e4
| op(e0,e4) = e3
| op(e2,e4) = e3 ),
inference(resolve,[$cnf( $equal(e4,op(e2,e4)) )],[refute_15_351,refute_15_331]) ).
cnf(refute_15_353,plain,
( op(e0,e4) = e3
| op(e2,e4) = e3 ),
inference(resolve,[$cnf( $equal(e4,e4) )],[refute_15_152,refute_15_352]) ).
cnf(refute_15_354,plain,
( op(unit,e4) != e4
| unit != e2
| op(e2,e4) = e4 ),
introduced(tautology,[equality,[$cnf( $equal(op(unit,e4),e4) ),[0,0],$fot(e2)]]) ).
cnf(refute_15_355,plain,
( op(unit,e4) != e4
| op(e2,e4) = e4
| unit = e0 ),
inference(resolve,[$cnf( $equal(unit,e2) )],[refute_15_77,refute_15_354]) ).
cnf(refute_15_356,plain,
( op(e2,e4) = e4
| unit = e0 ),
inference(resolve,[$cnf( $equal(op(unit,e4),e4) )],[refute_15_15,refute_15_355]) ).
cnf(refute_15_357,plain,
( op(e2,e4) != e3
| op(e2,e4) != e4
| e4 = e3 ),
introduced(tautology,[equality,[$cnf( $equal(op(e2,e4),e3) ),[0],$fot(e4)]]) ).
cnf(refute_15_358,plain,
( op(e2,e4) != e3
| e4 = e3
| unit = e0 ),
inference(resolve,[$cnf( $equal(op(e2,e4),e4) )],[refute_15_356,refute_15_357]) ).
cnf(refute_15_359,plain,
( e4 = e3
| op(e0,e4) = e3
| unit = e0 ),
inference(resolve,[$cnf( $equal(op(e2,e4),e3) )],[refute_15_353,refute_15_358]) ).
cnf(refute_15_360,plain,
e3 != e4,
inference(canonicalize,[],[normalize_15_108]) ).
cnf(refute_15_361,plain,
( e4 != e3
| e3 = e4 ),
inference(subst,[],[refute_15_5:[bind(X,$fot(e4)),bind(Y,$fot(e3))]]) ).
cnf(refute_15_362,plain,
e4 != e3,
inference(resolve,[$cnf( $equal(e3,e4) )],[refute_15_361,refute_15_360]) ).
cnf(refute_15_363,plain,
( op(e0,e4) = e3
| unit = e0 ),
inference(resolve,[$cnf( $equal(e4,e3) )],[refute_15_359,refute_15_362]) ).
cnf(refute_15_364,plain,
( op(e0,e0) != e3
| op(e0,e4) != e3
| op(e0,e0) = op(e0,e4) ),
introduced(tautology,[equality,[$cnf( ~ $equal(op(e0,e0),op(e0,e4)) ),[1],$fot(e3)]]) ).
cnf(refute_15_365,plain,
( op(e0,e0) != e3
| op(e0,e0) = op(e0,e4)
| unit = e0 ),
inference(resolve,[$cnf( $equal(op(e0,e4),e3) )],[refute_15_363,refute_15_364]) ).
cnf(refute_15_366,plain,
( op(e0,e0) != e3
| unit = e0 ),
inference(resolve,[$cnf( $equal(op(e0,e0),op(e0,e4)) )],[refute_15_365,refute_15_311]) ).
cnf(refute_15_367,plain,
( unit != e0
| e2 = e0 ),
inference(resolve,[$cnf( $equal(unit,e2) )],[refute_15_92,refute_15_305]) ).
cnf(refute_15_368,plain,
( op(e0,e0) != e3
| e2 = e0 ),
inference(resolve,[$cnf( $equal(unit,e0) )],[refute_15_366,refute_15_367]) ).
cnf(refute_15_369,plain,
op(e0,e0) != e3,
inference(resolve,[$cnf( $equal(e2,e0) )],[refute_15_368,refute_15_290]) ).
cnf(refute_15_370,plain,
definitionFOFtoCNF_133,
inference(resolve,[$cnf( $equal(op(e0,e0),e3) )],[refute_15_310,refute_15_369]) ).
cnf(refute_15_371,plain,
( ~ definitionFOFtoCNF_136
| e2 = e1 ),
inference(resolve,[$cnf( definitionFOFtoCNF_133 )],[refute_15_370,refute_15_269]) ).
cnf(refute_15_372,plain,
( e2 != e1
| e1 = e2 ),
inference(subst,[],[refute_15_5:[bind(X,$fot(e2)),bind(Y,$fot(e1))]]) ).
cnf(refute_15_373,plain,
e2 != e1,
inference(resolve,[$cnf( $equal(e1,e2) )],[refute_15_372,refute_15_212]) ).
cnf(refute_15_374,plain,
~ definitionFOFtoCNF_136,
inference(resolve,[$cnf( $equal(e2,e1) )],[refute_15_371,refute_15_373]) ).
cnf(refute_15_375,plain,
op(e0,e1) = e2,
inference(resolve,[$cnf( definitionFOFtoCNF_136 )],[refute_15_170,refute_15_374]) ).
cnf(refute_15_376,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_15_377,plain,
( e2 != op(e0,e3)
| op(e0,e1) = op(e0,e3) ),
inference(resolve,[$cnf( $equal(op(e0,e1),e2) )],[refute_15_375,refute_15_376]) ).
cnf(refute_15_378,plain,
e2 != op(e0,e3),
inference(resolve,[$cnf( $equal(op(e0,e1),op(e0,e3)) )],[refute_15_377,refute_15_128]) ).
cnf(refute_15_379,plain,
( op(e0,e3) != e2
| e2 = op(e0,e3) ),
inference(subst,[],[refute_15_5:[bind(X,$fot(op(e0,e3))),bind(Y,$fot(e2))]]) ).
cnf(refute_15_380,plain,
op(e0,e3) != e2,
inference(resolve,[$cnf( $equal(e2,op(e0,e3)) )],[refute_15_379,refute_15_378]) ).
cnf(refute_15_381,plain,
( op(e0,e3) = e1
| op(e0,e3) = e3
| op(e0,e3) = e4 ),
inference(resolve,[$cnf( $equal(op(e0,e3),e2) )],[refute_15_127,refute_15_380]) ).
cnf(refute_15_382,plain,
op(e0,e3) != op(e0,e4),
inference(canonicalize,[],[normalize_15_109]) ).
cnf(refute_15_383,plain,
op(unit,e4) = op(unit,e4),
introduced(tautology,[refl,[$fot(op(unit,e4))]]) ).
cnf(refute_15_384,plain,
( op(unit,e4) != op(unit,e4)
| unit != e2
| op(unit,e4) = op(e2,e4) ),
introduced(tautology,[equality,[$cnf( $equal(op(unit,e4),op(unit,e4)) ),[1,0],$fot(e2)]]) ).
cnf(refute_15_385,plain,
( unit != e2
| op(unit,e4) = op(e2,e4) ),
inference(resolve,[$cnf( $equal(op(unit,e4),op(unit,e4)) )],[refute_15_383,refute_15_384]) ).
cnf(refute_15_386,plain,
op(unit,e4) = op(e2,e4),
inference(resolve,[$cnf( $equal(unit,e2) )],[refute_15_92,refute_15_385]) ).
cnf(refute_15_387,plain,
( op(unit,e4) != e4
| op(unit,e4) != op(e2,e4)
| op(e2,e4) = e4 ),
introduced(tautology,[equality,[$cnf( $equal(op(unit,e4),e4) ),[0],$fot(op(e2,e4))]]) ).
cnf(refute_15_388,plain,
( op(unit,e4) != e4
| op(e2,e4) = e4 ),
inference(resolve,[$cnf( $equal(op(unit,e4),op(e2,e4)) )],[refute_15_386,refute_15_387]) ).
cnf(refute_15_389,plain,
op(e2,e4) = e4,
inference(resolve,[$cnf( $equal(op(unit,e4),e4) )],[refute_15_15,refute_15_388]) ).
cnf(refute_15_390,plain,
( e4 != e4
| e4 = op(e2,e4) ),
inference(resolve,[$cnf( $equal(op(e2,e4),e4) )],[refute_15_389,refute_15_350]) ).
cnf(refute_15_391,plain,
( e4 != e4
| op(e0,e4) = e3 ),
inference(resolve,[$cnf( $equal(e4,op(e2,e4)) )],[refute_15_390,refute_15_331]) ).
cnf(refute_15_392,plain,
op(e0,e4) = e3,
inference(resolve,[$cnf( $equal(e4,e4) )],[refute_15_152,refute_15_391]) ).
cnf(refute_15_393,plain,
( op(e0,e3) != e3
| op(e0,e4) != e3
| op(e0,e3) = op(e0,e4) ),
introduced(tautology,[equality,[$cnf( ~ $equal(op(e0,e3),op(e0,e4)) ),[1],$fot(e3)]]) ).
cnf(refute_15_394,plain,
( op(e0,e3) != e3
| op(e0,e3) = op(e0,e4) ),
inference(resolve,[$cnf( $equal(op(e0,e4),e3) )],[refute_15_392,refute_15_393]) ).
cnf(refute_15_395,plain,
op(e0,e3) != e3,
inference(resolve,[$cnf( $equal(op(e0,e3),op(e0,e4)) )],[refute_15_394,refute_15_382]) ).
cnf(refute_15_396,plain,
( op(e0,e3) = e1
| op(e0,e3) = e4 ),
inference(resolve,[$cnf( $equal(op(e0,e3),e3) )],[refute_15_381,refute_15_395]) ).
cnf(refute_15_397,plain,
( op(e0,e3) != e4
| op(e4,e3) != e0
| op(op(e0,e3),e3) = e0 ),
introduced(tautology,[equality,[$cnf( ~ $equal(op(op(e0,e3),e3),e0) ),[0,0],$fot(e4)]]) ).
cnf(refute_15_398,plain,
( op(e4,e3) != e0
| op(e0,e3) = e1
| op(op(e0,e3),e3) = e0 ),
inference(resolve,[$cnf( $equal(op(e0,e3),e4) )],[refute_15_396,refute_15_397]) ).
cnf(refute_15_399,plain,
( op(e4,e3) != e0
| op(e0,e3) = e1
| op(op(e0,e3),e0) = e3 ),
inference(resolve,[$cnf( $equal(op(op(e0,e3),e3),e0) )],[refute_15_398,refute_15_109]) ).
cnf(refute_15_400,plain,
( op(e4,e0) = e0
| op(e4,e1) = e0
| op(e4,e2) = e0
| op(e4,e3) = e0
| op(e4,e4) = e0 ),
inference(canonicalize,[],[normalize_15_110]) ).
cnf(refute_15_401,plain,
( op(e4,e1) != e0
| op(e4,e1) != e3
| e3 = e0 ),
introduced(tautology,[equality,[$cnf( $equal(op(e4,e1),e0) ),[0],$fot(e3)]]) ).
cnf(refute_15_402,plain,
( op(e4,e1) != e0
| e3 = e0 ),
inference(resolve,[$cnf( $equal(op(e4,e1),e3) )],[refute_15_55,refute_15_401]) ).
cnf(refute_15_403,plain,
( e3 = e0
| op(e4,e0) = e0
| op(e4,e2) = e0
| op(e4,e3) = e0
| op(e4,e4) = e0 ),
inference(resolve,[$cnf( $equal(op(e4,e1),e0) )],[refute_15_400,refute_15_402]) ).
cnf(refute_15_404,plain,
( e1 = e0
| e3 = e0
| op(e4,e0) = e0
| op(e4,e2) = e0
| op(e4,e3) = e0 ),
inference(resolve,[$cnf( $equal(op(e4,e4),e0) )],[refute_15_403,refute_15_174]) ).
cnf(refute_15_405,plain,
( e3 = e0
| op(e4,e0) = e0
| op(e4,e2) = e0
| op(e4,e3) = e0 ),
inference(resolve,[$cnf( $equal(e1,e0) )],[refute_15_404,refute_15_177]) ).
cnf(refute_15_406,plain,
e0 != e3,
inference(canonicalize,[],[normalize_15_111]) ).
cnf(refute_15_407,plain,
( e3 != e0
| e0 = e3 ),
inference(subst,[],[refute_15_5:[bind(X,$fot(e3)),bind(Y,$fot(e0))]]) ).
cnf(refute_15_408,plain,
e3 != e0,
inference(resolve,[$cnf( $equal(e0,e3) )],[refute_15_407,refute_15_406]) ).
cnf(refute_15_409,plain,
( op(e4,e0) = e0
| op(e4,e2) = e0
| op(e4,e3) = e0 ),
inference(resolve,[$cnf( $equal(e3,e0) )],[refute_15_405,refute_15_408]) ).
cnf(refute_15_410,plain,
op(e4,unit) = e4,
inference(canonicalize,[],[normalize_15_112]) ).
cnf(refute_15_411,plain,
op(e4,unit) = op(e4,unit),
introduced(tautology,[refl,[$fot(op(e4,unit))]]) ).
cnf(refute_15_412,plain,
( op(e4,unit) != op(e4,unit)
| unit != e2
| op(e4,unit) = op(e4,e2) ),
introduced(tautology,[equality,[$cnf( $equal(op(e4,unit),op(e4,unit)) ),[1,1],$fot(e2)]]) ).
cnf(refute_15_413,plain,
( unit != e2
| op(e4,unit) = op(e4,e2) ),
inference(resolve,[$cnf( $equal(op(e4,unit),op(e4,unit)) )],[refute_15_411,refute_15_412]) ).
cnf(refute_15_414,plain,
op(e4,unit) = op(e4,e2),
inference(resolve,[$cnf( $equal(unit,e2) )],[refute_15_92,refute_15_413]) ).
cnf(refute_15_415,plain,
( op(e4,unit) != e4
| op(e4,unit) != op(e4,e2)
| op(e4,e2) = e4 ),
introduced(tautology,[equality,[$cnf( $equal(op(e4,unit),e4) ),[0],$fot(op(e4,e2))]]) ).
cnf(refute_15_416,plain,
( op(e4,unit) != e4
| op(e4,e2) = e4 ),
inference(resolve,[$cnf( $equal(op(e4,unit),op(e4,e2)) )],[refute_15_414,refute_15_415]) ).
cnf(refute_15_417,plain,
op(e4,e2) = e4,
inference(resolve,[$cnf( $equal(op(e4,unit),e4) )],[refute_15_410,refute_15_416]) ).
cnf(refute_15_418,plain,
( op(e4,e2) != e0
| op(e4,e2) != e4
| e4 = e0 ),
introduced(tautology,[equality,[$cnf( $equal(op(e4,e2),e0) ),[0],$fot(e4)]]) ).
cnf(refute_15_419,plain,
( op(e4,e2) != e0
| e4 = e0 ),
inference(resolve,[$cnf( $equal(op(e4,e2),e4) )],[refute_15_417,refute_15_418]) ).
cnf(refute_15_420,plain,
( e4 = e0
| op(e4,e0) = e0
| op(e4,e3) = e0 ),
inference(resolve,[$cnf( $equal(op(e4,e2),e0) )],[refute_15_409,refute_15_419]) ).
cnf(refute_15_421,plain,
( e4 != e0
| e0 = e4 ),
inference(subst,[],[refute_15_5:[bind(X,$fot(e4)),bind(Y,$fot(e0))]]) ).
cnf(refute_15_422,plain,
e4 != e0,
inference(resolve,[$cnf( $equal(e0,e4) )],[refute_15_421,refute_15_33]) ).
cnf(refute_15_423,plain,
( op(e4,e0) = e0
| op(e4,e3) = e0 ),
inference(resolve,[$cnf( $equal(e4,e0) )],[refute_15_420,refute_15_422]) ).
cnf(refute_15_424,plain,
op(e2,e0) != op(e4,e0),
inference(canonicalize,[],[normalize_15_113]) ).
cnf(refute_15_425,plain,
( e0 != op(e4,e0)
| op(e2,e0) != e0
| op(e2,e0) = op(e4,e0) ),
introduced(tautology,[equality,[$cnf( $equal(op(e2,e0),e0) ),[1],$fot(op(e4,e0))]]) ).
cnf(refute_15_426,plain,
( e0 != op(e4,e0)
| op(e2,e0) = op(e4,e0) ),
inference(resolve,[$cnf( $equal(op(e2,e0),e0) )],[refute_15_99,refute_15_425]) ).
cnf(refute_15_427,plain,
e0 != op(e4,e0),
inference(resolve,[$cnf( $equal(op(e2,e0),op(e4,e0)) )],[refute_15_426,refute_15_424]) ).
cnf(refute_15_428,plain,
( op(e4,e0) != e0
| e0 = op(e4,e0) ),
inference(subst,[],[refute_15_5:[bind(X,$fot(op(e4,e0))),bind(Y,$fot(e0))]]) ).
cnf(refute_15_429,plain,
op(e4,e0) != e0,
inference(resolve,[$cnf( $equal(e0,op(e4,e0)) )],[refute_15_428,refute_15_427]) ).
cnf(refute_15_430,plain,
op(e4,e3) = e0,
inference(resolve,[$cnf( $equal(op(e4,e0),e0) )],[refute_15_423,refute_15_429]) ).
cnf(refute_15_431,plain,
( e0 != e0
| op(e4,e3) != e0
| op(e4,e3) = e0 ),
introduced(tautology,[equality,[$cnf( $equal(op(e4,e3),e0) ),[1],$fot(e0)]]) ).
cnf(refute_15_432,plain,
( e0 != e0
| op(e4,e3) = e0 ),
inference(resolve,[$cnf( $equal(op(e4,e3),e0) )],[refute_15_430,refute_15_431]) ).
cnf(refute_15_433,plain,
( e0 != e0
| op(e0,e3) = e1
| op(op(e0,e3),e0) = e3 ),
inference(resolve,[$cnf( $equal(op(e4,e3),e0) )],[refute_15_432,refute_15_399]) ).
cnf(refute_15_434,plain,
( op(e0,e3) = e1
| op(op(e0,e3),e0) = e3 ),
inference(resolve,[$cnf( $equal(e0,e0) )],[refute_15_126,refute_15_433]) ).
cnf(refute_15_435,plain,
( op(e0,e3) != e4
| op(op(e0,e3),e0) != e3
| op(e4,e0) = e3 ),
introduced(tautology,[equality,[$cnf( $equal(op(op(e0,e3),e0),e3) ),[0,0],$fot(e4)]]) ).
cnf(refute_15_436,plain,
( op(op(e0,e3),e0) != e3
| op(e0,e3) = e1
| op(e4,e0) = e3 ),
inference(resolve,[$cnf( $equal(op(e0,e3),e4) )],[refute_15_396,refute_15_435]) ).
cnf(refute_15_437,plain,
( op(e0,e3) = e1
| op(e4,e0) = e3 ),
inference(resolve,[$cnf( $equal(op(op(e0,e3),e0),e3) )],[refute_15_434,refute_15_436]) ).
cnf(refute_15_438,plain,
( op(e4,e0) = e2
| op(e4,e1) = e2
| op(e4,e2) = e2
| op(e4,e3) = e2
| op(e4,e4) = e2 ),
inference(canonicalize,[],[normalize_15_114]) ).
cnf(refute_15_439,plain,
( op(e4,e1) != e2
| op(e4,e1) != e3
| e3 = e2 ),
introduced(tautology,[equality,[$cnf( $equal(op(e4,e1),e2) ),[0],$fot(e3)]]) ).
cnf(refute_15_440,plain,
( op(e4,e1) != e2
| e3 = e2 ),
inference(resolve,[$cnf( $equal(op(e4,e1),e3) )],[refute_15_55,refute_15_439]) ).
cnf(refute_15_441,plain,
( e3 = e2
| op(e4,e0) = e2
| op(e4,e2) = e2
| op(e4,e3) = e2
| op(e4,e4) = e2 ),
inference(resolve,[$cnf( $equal(op(e4,e1),e2) )],[refute_15_438,refute_15_440]) ).
cnf(refute_15_442,plain,
( e1 = e2
| e3 = e2
| op(e4,e0) = e2
| op(e4,e2) = e2
| op(e4,e3) = e2 ),
inference(resolve,[$cnf( $equal(op(e4,e4),e2) )],[refute_15_441,refute_15_207]) ).
cnf(refute_15_443,plain,
( e3 = e2
| op(e4,e0) = e2
| op(e4,e2) = e2
| op(e4,e3) = e2 ),
inference(resolve,[$cnf( $equal(e1,e2) )],[refute_15_442,refute_15_212]) ).
cnf(refute_15_444,plain,
e2 != e3,
inference(canonicalize,[],[normalize_15_115]) ).
cnf(refute_15_445,plain,
( e3 != e2
| e2 = e3 ),
inference(subst,[],[refute_15_5:[bind(X,$fot(e3)),bind(Y,$fot(e2))]]) ).
cnf(refute_15_446,plain,
e3 != e2,
inference(resolve,[$cnf( $equal(e2,e3) )],[refute_15_445,refute_15_444]) ).
cnf(refute_15_447,plain,
( op(e4,e0) = e2
| op(e4,e2) = e2
| op(e4,e3) = e2 ),
inference(resolve,[$cnf( $equal(e3,e2) )],[refute_15_443,refute_15_446]) ).
cnf(refute_15_448,plain,
( op(e4,e2) != e2
| op(e4,e2) != e4
| e4 = e2 ),
introduced(tautology,[equality,[$cnf( $equal(op(e4,e2),e2) ),[0],$fot(e4)]]) ).
cnf(refute_15_449,plain,
( op(e4,e2) != e2
| e4 = e2 ),
inference(resolve,[$cnf( $equal(op(e4,e2),e4) )],[refute_15_417,refute_15_448]) ).
cnf(refute_15_450,plain,
( e4 = e2
| op(e4,e0) = e2
| op(e4,e3) = e2 ),
inference(resolve,[$cnf( $equal(op(e4,e2),e2) )],[refute_15_447,refute_15_449]) ).
cnf(refute_15_451,plain,
( op(e4,e3) != e0
| op(e4,e3) != e2
| e0 = e2 ),
introduced(tautology,[equality,[$cnf( $equal(op(e4,e3),e2) ),[0],$fot(e0)]]) ).
cnf(refute_15_452,plain,
( op(e4,e3) != e2
| e0 = e2 ),
inference(resolve,[$cnf( $equal(op(e4,e3),e0) )],[refute_15_430,refute_15_451]) ).
cnf(refute_15_453,plain,
( e0 = e2
| e4 = e2
| op(e4,e0) = e2 ),
inference(resolve,[$cnf( $equal(op(e4,e3),e2) )],[refute_15_450,refute_15_452]) ).
cnf(refute_15_454,plain,
( e4 = e2
| op(e4,e0) = e2 ),
inference(resolve,[$cnf( $equal(e0,e2) )],[refute_15_453,refute_15_288]) ).
cnf(refute_15_455,plain,
( e4 != e2
| e2 = e4 ),
inference(subst,[],[refute_15_5:[bind(X,$fot(e4)),bind(Y,$fot(e2))]]) ).
cnf(refute_15_456,plain,
e4 != e2,
inference(resolve,[$cnf( $equal(e2,e4) )],[refute_15_455,refute_15_68]) ).
cnf(refute_15_457,plain,
op(e4,e0) = e2,
inference(resolve,[$cnf( $equal(e4,e2) )],[refute_15_454,refute_15_456]) ).
cnf(refute_15_458,plain,
( op(e4,e0) != e2
| op(e4,e0) != e3
| e2 = e3 ),
introduced(tautology,[equality,[$cnf( $equal(op(e4,e0),e3) ),[0],$fot(e2)]]) ).
cnf(refute_15_459,plain,
( op(e4,e0) != e3
| e2 = e3 ),
inference(resolve,[$cnf( $equal(op(e4,e0),e2) )],[refute_15_457,refute_15_458]) ).
cnf(refute_15_460,plain,
( e2 = e3
| op(e0,e3) = e1 ),
inference(resolve,[$cnf( $equal(op(e4,e0),e3) )],[refute_15_437,refute_15_459]) ).
cnf(refute_15_461,plain,
op(e0,e3) = e1,
inference(resolve,[$cnf( $equal(e2,e3) )],[refute_15_460,refute_15_444]) ).
cnf(refute_15_462,plain,
( op(e0,e0) != e1
| op(e0,e3) != e1
| op(e0,e0) = op(e0,e3) ),
introduced(tautology,[equality,[$cnf( ~ $equal(op(e0,e0),op(e0,e3)) ),[1],$fot(e1)]]) ).
cnf(refute_15_463,plain,
( op(e0,e0) != e1
| op(e0,e0) = op(e0,e3) ),
inference(resolve,[$cnf( $equal(op(e0,e3),e1) )],[refute_15_461,refute_15_462]) ).
cnf(refute_15_464,plain,
op(e0,e0) != e1,
inference(resolve,[$cnf( $equal(op(e0,e0),op(e0,e3)) )],[refute_15_463,refute_15_105]) ).
cnf(refute_15_465,plain,
( op(e1,e0) = e1
| op(e3,e0) = e1 ),
inference(resolve,[$cnf( $equal(op(e0,e0),e1) )],[refute_15_104,refute_15_464]) ).
cnf(refute_15_466,plain,
op(e1,e0) != op(e1,e2),
inference(canonicalize,[],[normalize_15_116]) ).
cnf(refute_15_467,plain,
op(e1,unit) = e1,
inference(canonicalize,[],[normalize_15_117]) ).
cnf(refute_15_468,plain,
op(e1,unit) = op(e1,unit),
introduced(tautology,[refl,[$fot(op(e1,unit))]]) ).
cnf(refute_15_469,plain,
( op(e1,unit) != op(e1,unit)
| unit != e2
| op(e1,unit) = op(e1,e2) ),
introduced(tautology,[equality,[$cnf( $equal(op(e1,unit),op(e1,unit)) ),[1,1],$fot(e2)]]) ).
cnf(refute_15_470,plain,
( unit != e2
| op(e1,unit) = op(e1,e2) ),
inference(resolve,[$cnf( $equal(op(e1,unit),op(e1,unit)) )],[refute_15_468,refute_15_469]) ).
cnf(refute_15_471,plain,
op(e1,unit) = op(e1,e2),
inference(resolve,[$cnf( $equal(unit,e2) )],[refute_15_92,refute_15_470]) ).
cnf(refute_15_472,plain,
( op(e1,unit) != e1
| op(e1,unit) != op(e1,e2)
| op(e1,e2) = e1 ),
introduced(tautology,[equality,[$cnf( $equal(op(e1,unit),e1) ),[0],$fot(op(e1,e2))]]) ).
cnf(refute_15_473,plain,
( op(e1,unit) != e1
| op(e1,e2) = e1 ),
inference(resolve,[$cnf( $equal(op(e1,unit),op(e1,e2)) )],[refute_15_471,refute_15_472]) ).
cnf(refute_15_474,plain,
op(e1,e2) = e1,
inference(resolve,[$cnf( $equal(op(e1,unit),e1) )],[refute_15_467,refute_15_473]) ).
cnf(refute_15_475,plain,
( op(e1,e0) != e1
| op(e1,e2) != e1
| op(e1,e0) = op(e1,e2) ),
introduced(tautology,[equality,[$cnf( ~ $equal(op(e1,e0),op(e1,e2)) ),[1],$fot(e1)]]) ).
cnf(refute_15_476,plain,
( op(e1,e0) != e1
| op(e1,e0) = op(e1,e2) ),
inference(resolve,[$cnf( $equal(op(e1,e2),e1) )],[refute_15_474,refute_15_475]) ).
cnf(refute_15_477,plain,
op(e1,e0) != e1,
inference(resolve,[$cnf( $equal(op(e1,e0),op(e1,e2)) )],[refute_15_476,refute_15_466]) ).
cnf(refute_15_478,plain,
op(e3,e0) = e1,
inference(resolve,[$cnf( $equal(op(e1,e0),e1) )],[refute_15_465,refute_15_477]) ).
cnf(refute_15_479,plain,
( e1 != op(e3,e0)
| op(e0,e3) != e1
| op(e0,e3) = op(e3,e0) ),
introduced(tautology,[equality,[$cnf( $equal(op(e0,e3),e1) ),[1],$fot(op(e3,e0))]]) ).
cnf(refute_15_480,plain,
( e1 != op(e3,e0)
| op(e0,e3) = op(e3,e0) ),
inference(resolve,[$cnf( $equal(op(e0,e3),e1) )],[refute_15_461,refute_15_479]) ).
cnf(refute_15_481,plain,
e1 != op(e3,e0),
inference(resolve,[$cnf( $equal(op(e0,e3),op(e3,e0)) )],[refute_15_480,refute_15_13]) ).
cnf(refute_15_482,plain,
( op(e3,e0) != e1
| e1 = op(e3,e0) ),
inference(subst,[],[refute_15_5:[bind(X,$fot(op(e3,e0))),bind(Y,$fot(e1))]]) ).
cnf(refute_15_483,plain,
op(e3,e0) != e1,
inference(resolve,[$cnf( $equal(e1,op(e3,e0)) )],[refute_15_482,refute_15_481]) ).
cnf(refute_15_484,plain,
$false,
inference(resolve,[$cnf( $equal(op(e3,e0),e1) )],[refute_15_478,refute_15_483]) ).
fof(negate_16_0,plain,
~ ( ( ( ( op(e0,e0) = e0
& op(e0,e0) = e0
& op(e0,e0) != e0 )
| ( op(e0,e0) = e1
& op(e1,e1) = e0
& op(e0,e1) != e0 )
| ( op(e0,e0) = e2
& op(e2,e2) = e0
& op(e0,e2) != e0 )
| ( op(e0,e0) = e3
& op(e3,e3) = e0
& op(e0,e3) != e0 )
| ( op(e0,e0) = e4
& op(e4,e4) = e0
& op(e0,e4) != e0 )
| ( op(e1,e1) = e0
& op(e0,e0) = e1
& op(e1,e0) != e1 )
| ( op(e1,e1) = e1
& op(e1,e1) = e1
& op(e1,e1) != e1 )
| ( op(e1,e1) = e2
& op(e2,e2) = e1
& op(e1,e2) != e1 )
| ( op(e1,e1) = e3
& op(e3,e3) = e1
& op(e1,e3) != e1 )
| ( op(e1,e1) = e4
& op(e4,e4) = e1
& op(e1,e4) != e1 )
| ( op(e2,e2) = e0
& op(e0,e0) = e2
& op(e2,e0) != e2 )
| ( op(e2,e2) = e1
& op(e1,e1) = e2
& op(e2,e1) != e2 )
| ( op(e2,e2) = e2
& op(e2,e2) = e2
& op(e2,e2) != e2 )
| ( op(e2,e2) = e3
& op(e3,e3) = e2
& op(e2,e3) != e2 )
| ( op(e2,e2) = e4
& op(e4,e4) = e2
& op(e2,e4) != e2 )
| ( op(e3,e3) = e0
& op(e0,e0) = e3
& op(e3,e0) != e3 )
| ( op(e3,e3) = e1
& op(e1,e1) = e3
& op(e3,e1) != e3 )
| ( op(e3,e3) = e2
& op(e2,e2) = e3
& op(e3,e2) != e3 )
| ( op(e3,e3) = e3
& op(e3,e3) = e3
& op(e3,e3) != e3 )
| ( op(e3,e3) = e4
& op(e4,e4) = e3
& op(e3,e4) != e3 )
| ( op(e4,e4) = e0
& op(e0,e0) = e4
& op(e4,e0) != e4 )
| ( op(e4,e4) = e1
& op(e1,e1) = e4
& op(e4,e1) != e4 )
| ( op(e4,e4) = e2
& op(e2,e2) = e4
& op(e4,e2) != e4 )
| ( op(e4,e4) = e3
& op(e3,e3) = e4
& op(e4,e3) != e4 )
| ( op(e4,e4) = e4
& op(e4,e4) = e4
& op(e4,e4) != e4 ) )
& ~ ( op(e0,e0) != op(e0,e0)
& op(op(e0,e0),e0) = e0
& op(op(e0,e0),e0) != e0 )
& ~ ( op(e1,e0) != op(e0,e1)
& op(op(e0,e1),e1) = e0
& op(op(e0,e1),e0) != e1 )
& ~ ( op(e2,e0) != op(e0,e2)
& op(op(e0,e2),e2) = e0
& op(op(e0,e2),e0) != e2 )
& ~ ( op(e3,e0) != op(e0,e3)
& op(op(e0,e3),e3) = e0
& op(op(e0,e3),e0) != e3 )
& ~ ( op(e4,e0) != op(e0,e4)
& op(op(e0,e4),e4) = e0
& op(op(e0,e4),e0) != e4 )
& ~ ( op(e0,e1) != op(e1,e0)
& op(op(e1,e0),e0) = e1
& op(op(e1,e0),e1) != e0 )
& ~ ( op(e1,e1) != op(e1,e1)
& op(op(e1,e1),e1) = e1
& op(op(e1,e1),e1) != e1 )
& ~ ( op(e2,e1) != op(e1,e2)
& op(op(e1,e2),e2) = e1
& op(op(e1,e2),e1) != e2 )
& ~ ( op(e3,e1) != op(e1,e3)
& op(op(e1,e3),e3) = e1
& op(op(e1,e3),e1) != e3 )
& ~ ( op(e4,e1) != op(e1,e4)
& op(op(e1,e4),e4) = e1
& op(op(e1,e4),e1) != e4 )
& ~ ( op(e0,e2) != op(e2,e0)
& op(op(e2,e0),e0) = e2
& op(op(e2,e0),e2) != e0 )
& ~ ( op(e1,e2) != op(e2,e1)
& op(op(e2,e1),e1) = e2
& op(op(e2,e1),e2) != e1 )
& ~ ( op(e2,e2) != op(e2,e2)
& op(op(e2,e2),e2) = e2
& op(op(e2,e2),e2) != e2 )
& ~ ( op(e3,e2) != op(e2,e3)
& op(op(e2,e3),e3) = e2
& op(op(e2,e3),e2) != e3 )
& ~ ( op(e4,e2) != op(e2,e4)
& op(op(e2,e4),e4) = e2
& op(op(e2,e4),e2) != e4 )
& ~ ( op(e0,e3) != op(e3,e0)
& op(op(e3,e0),e0) = e3
& op(op(e3,e0),e3) != e0 )
& op(e1,e3) != op(e3,e1)
& op(op(e3,e1),e1) = e3 )
=> op(op(e3,e1),e3) = e1 ),
inference(negate,[],[subgoal_16]) ).
fof(normalize_16_0,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_16_1,plain,
op(e3,e3) != op(e4,e3),
inference(conjunct,[],[normalize_16_0]) ).
fof(normalize_16_2,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,[],[ax3]) ).
fof(normalize_16_3,plain,
( op(e3,e0) = e0
| op(e3,e1) = e0
| op(e3,e2) = e0
| op(e3,e3) = e0
| op(e3,e4) = e0 ),
inference(conjunct,[],[normalize_16_2]) ).
fof(normalize_16_4,plain,
( op(e1,e3) != op(e3,e1)
& op(op(e3,e1),e3) != e1
& op(op(e3,e1),e1) = e3
& ( op(op(e0,e1),e1) != e0
| op(e1,e0) = op(e0,e1)
| op(op(e0,e1),e0) = e1 )
& ( op(op(e0,e2),e2) != e0
| op(e2,e0) = op(e0,e2)
| op(op(e0,e2),e0) = e2 )
& ( op(op(e0,e3),e3) != e0
| op(e3,e0) = op(e0,e3)
| op(op(e0,e3),e0) = e3 )
& ( op(op(e0,e4),e4) != e0
| op(e4,e0) = op(e0,e4)
| op(op(e0,e4),e0) = e4 )
& ( op(op(e1,e0),e0) != e1
| op(e0,e1) = op(e1,e0)
| op(op(e1,e0),e1) = e0 )
& ( op(op(e1,e2),e2) != e1
| op(e2,e1) = op(e1,e2)
| op(op(e1,e2),e1) = e2 )
& ( op(op(e1,e3),e3) != e1
| op(e3,e1) = op(e1,e3)
| op(op(e1,e3),e1) = e3 )
& ( op(op(e1,e4),e4) != e1
| op(e4,e1) = op(e1,e4)
| op(op(e1,e4),e1) = e4 )
& ( op(op(e2,e0),e0) != e2
| op(e0,e2) = op(e2,e0)
| op(op(e2,e0),e2) = e0 )
& ( op(op(e2,e1),e1) != e2
| op(e1,e2) = op(e2,e1)
| op(op(e2,e1),e2) = e1 )
& ( op(op(e2,e3),e3) != e2
| op(e3,e2) = op(e2,e3)
| op(op(e2,e3),e2) = e3 )
& ( op(op(e2,e4),e4) != e2
| op(e4,e2) = op(e2,e4)
| op(op(e2,e4),e2) = e4 )
& ( op(op(e3,e0),e0) != e3
| op(e0,e3) = op(e3,e0)
| op(op(e3,e0),e3) = e0 )
& ( ( op(e0,e1) != e0
& op(e0,e0) = e1
& op(e1,e1) = e0 )
| ( op(e0,e2) != e0
& op(e0,e0) = e2
& op(e2,e2) = e0 )
| ( op(e0,e3) != e0
& op(e0,e0) = e3
& op(e3,e3) = e0 )
| ( op(e0,e4) != e0
& op(e0,e0) = e4
& op(e4,e4) = e0 )
| ( op(e1,e0) != e1
& op(e0,e0) = e1
& op(e1,e1) = e0 )
| ( op(e1,e2) != e1
& op(e1,e1) = e2
& op(e2,e2) = e1 )
| ( op(e1,e3) != e1
& op(e1,e1) = e3
& op(e3,e3) = e1 )
| ( op(e1,e4) != e1
& op(e1,e1) = e4
& op(e4,e4) = e1 )
| ( op(e2,e0) != e2
& op(e0,e0) = e2
& op(e2,e2) = e0 )
| ( op(e2,e1) != e2
& op(e1,e1) = e2
& op(e2,e2) = e1 )
| ( op(e2,e3) != e2
& op(e2,e2) = e3
& op(e3,e3) = e2 )
| ( op(e2,e4) != e2
& op(e2,e2) = e4
& op(e4,e4) = e2 )
| ( op(e3,e0) != e3
& op(e0,e0) = e3
& op(e3,e3) = e0 )
| ( op(e3,e1) != e3
& op(e1,e1) = e3
& op(e3,e3) = e1 )
| ( op(e3,e2) != e3
& op(e2,e2) = e3
& op(e3,e3) = e2 )
| ( op(e3,e4) != e3
& op(e3,e3) = e4
& op(e4,e4) = e3 )
| ( op(e4,e0) != e4
& op(e0,e0) = e4
& op(e4,e4) = e0 )
| ( op(e4,e1) != e4
& op(e1,e1) = e4
& op(e4,e4) = e1 )
| ( op(e4,e2) != e4
& op(e2,e2) = e4
& op(e4,e4) = e2 )
| ( op(e4,e3) != e4
& op(e3,e3) = e4
& op(e4,e4) = e3 ) ) ),
inference(canonicalize,[],[negate_16_0]) ).
fof(normalize_16_5,plain,
op(op(e3,e1),e1) = e3,
inference(conjunct,[],[normalize_16_4]) ).
fof(normalize_16_6,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_16_7,plain,
( op(e3,e1) = e0
| op(e3,e1) = e1
| op(e3,e1) = e2
| op(e3,e1) = e3
| op(e3,e1) = e4 ),
inference(conjunct,[],[normalize_16_6]) ).
fof(normalize_16_8,plain,
op(e3,e1) != op(e4,e1),
inference(conjunct,[],[normalize_16_0]) ).
fof(normalize_16_9,plain,
( e0 = op(op(e4,e4),e4)
& e1 = op(e4,e4)
& e2 = op(op(e4,op(e4,e4)),e4)
& e3 = op(e4,op(e4,e4)) ),
inference(canonicalize,[],[ax6]) ).
fof(normalize_16_10,plain,
e3 = op(e4,op(e4,e4)),
inference(conjunct,[],[normalize_16_9]) ).
fof(normalize_16_11,plain,
e1 = op(e4,e4),
inference(conjunct,[],[normalize_16_9]) ).
fof(normalize_16_12,plain,
op(e3,e1) != op(e3,e4),
inference(conjunct,[],[normalize_16_0]) ).
fof(normalize_16_13,plain,
e2 = op(op(e4,op(e4,e4)),e4),
inference(conjunct,[],[normalize_16_9]) ).
fof(normalize_16_14,plain,
op(e0,e1) != op(e4,e1),
inference(conjunct,[],[normalize_16_0]) ).
fof(normalize_16_15,plain,
op(e1,e1) != op(e4,e1),
inference(conjunct,[],[normalize_16_0]) ).
fof(normalize_16_16,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_16_17,plain,
e0 != e2,
inference(conjunct,[],[normalize_16_16]) ).
fof(normalize_16_18,plain,
e0 != e4,
inference(conjunct,[],[normalize_16_16]) ).
fof(normalize_16_19,plain,
( op(e0,unit) = e0
& op(e1,unit) = e1
& op(e2,unit) = e2
& op(e3,unit) = e3
& op(e4,unit) = e4
& op(unit,e0) = e0
& op(unit,e1) = e1
& op(unit,e2) = e2
& op(unit,e3) = e3
& op(unit,e4) = e4
& ( unit = e0
| unit = e1
| unit = e2
| unit = e3
| unit = e4 ) ),
inference(canonicalize,[],[ax2]) ).
fof(normalize_16_20,plain,
op(e3,unit) = e3,
inference(conjunct,[],[normalize_16_19]) ).
fof(normalize_16_21,plain,
op(unit,e4) = e4,
inference(conjunct,[],[normalize_16_19]) ).
fof(normalize_16_22,plain,
op(e4,unit) = e4,
inference(conjunct,[],[normalize_16_19]) ).
fof(normalize_16_23,plain,
( unit = e0
| unit = e1
| unit = e2
| unit = e3
| unit = e4 ),
inference(conjunct,[],[normalize_16_19]) ).
fof(normalize_16_24,plain,
e3 != e4,
inference(conjunct,[],[normalize_16_16]) ).
fof(normalize_16_25,plain,
e2 != e4,
inference(conjunct,[],[normalize_16_16]) ).
fof(normalize_16_26,plain,
e1 != e4,
inference(conjunct,[],[normalize_16_16]) ).
fof(normalize_16_27,plain,
( op(op(e2,e4),e4) != e2
| op(e4,e2) = op(e2,e4)
| op(op(e2,e4),e2) = e4 ),
inference(conjunct,[],[normalize_16_4]) ).
fof(normalize_16_28,plain,
( op(e0,e4) = e3
| op(e1,e4) = e3
| op(e2,e4) = e3
| op(e3,e4) = e3
| op(e4,e4) = e3 ),
inference(conjunct,[],[normalize_16_2]) ).
fof(normalize_16_29,plain,
op(e4,e1) != op(e4,e4),
inference(conjunct,[],[normalize_16_0]) ).
fof(normalize_16_30,plain,
e0 = op(op(e4,e4),e4),
inference(conjunct,[],[normalize_16_9]) ).
fof(normalize_16_31,plain,
e0 != e3,
inference(conjunct,[],[normalize_16_16]) ).
fof(normalize_16_32,plain,
e2 != e3,
inference(conjunct,[],[normalize_16_16]) ).
fof(normalize_16_33,plain,
op(e3,e1) != op(e3,e2),
inference(conjunct,[],[normalize_16_0]) ).
fof(normalize_16_34,plain,
op(e4,e1) != op(e4,e2),
inference(conjunct,[],[normalize_16_0]) ).
fof(normalize_16_35,plain,
op(e2,e0) != op(e3,e0),
inference(conjunct,[],[normalize_16_0]) ).
fof(normalize_16_36,plain,
op(unit,e0) = e0,
inference(conjunct,[],[normalize_16_19]) ).
fof(normalize_16_37,plain,
( op(e4,e0) = e0
| op(e4,e1) = e0
| op(e4,e2) = e0
| op(e4,e3) = e0
| op(e4,e4) = e0 ),
inference(conjunct,[],[normalize_16_2]) ).
fof(normalize_16_38,plain,
e0 != e1,
inference(conjunct,[],[normalize_16_16]) ).
fof(normalize_16_39,plain,
op(e4,e0) != op(e4,e2),
inference(conjunct,[],[normalize_16_0]) ).
fof(normalize_16_40,plain,
op(e2,e0) != op(e4,e0),
inference(conjunct,[],[normalize_16_0]) ).
fof(normalize_16_41,plain,
( op(e4,e0) = e0
| op(e4,e0) = e1
| op(e4,e0) = e2
| op(e4,e0) = e3
| op(e4,e0) = e4 ),
inference(conjunct,[],[normalize_16_6]) ).
fof(normalize_16_42,plain,
op(e4,e0) != op(e4,e4),
inference(conjunct,[],[normalize_16_0]) ).
fof(normalize_16_43,plain,
op(e4,e0) != op(e4,e1),
inference(conjunct,[],[normalize_16_0]) ).
cnf(refute_16_0,plain,
op(e3,e3) != op(e4,e3),
inference(canonicalize,[],[normalize_16_1]) ).
cnf(refute_16_1,plain,
( op(e3,e0) = e0
| op(e3,e1) = e0
| op(e3,e2) = e0
| op(e3,e3) = e0
| op(e3,e4) = e0 ),
inference(canonicalize,[],[normalize_16_3]) ).
cnf(refute_16_2,plain,
op(op(e3,e1),e1) = e3,
inference(canonicalize,[],[normalize_16_5]) ).
cnf(refute_16_3,plain,
( op(e3,e1) = e0
| op(e3,e1) = e1
| op(e3,e1) = e2
| op(e3,e1) = e3
| op(e3,e1) = e4 ),
inference(canonicalize,[],[normalize_16_7]) ).
cnf(refute_16_4,plain,
op(e3,e1) != op(e4,e1),
inference(canonicalize,[],[normalize_16_8]) ).
cnf(refute_16_5,plain,
e3 = op(e4,op(e4,e4)),
inference(canonicalize,[],[normalize_16_10]) ).
cnf(refute_16_6,plain,
e1 = op(e4,e4),
inference(canonicalize,[],[normalize_16_11]) ).
cnf(refute_16_7,plain,
X = X,
introduced(tautology,[refl,[$fot(X)]]) ).
cnf(refute_16_8,plain,
( X != X
| X != Y
| Y = X ),
introduced(tautology,[equality,[$cnf( $equal(X,X) ),[0],$fot(Y)]]) ).
cnf(refute_16_9,plain,
( X != Y
| Y = X ),
inference(resolve,[$cnf( $equal(X,X) )],[refute_16_7,refute_16_8]) ).
cnf(refute_16_10,plain,
( e1 != op(e4,e4)
| op(e4,e4) = e1 ),
inference(subst,[],[refute_16_9:[bind(X,$fot(e1)),bind(Y,$fot(op(e4,e4)))]]) ).
cnf(refute_16_11,plain,
op(e4,e4) = e1,
inference(resolve,[$cnf( $equal(e1,op(e4,e4)) )],[refute_16_6,refute_16_10]) ).
cnf(refute_16_12,plain,
op(e4,op(e4,e4)) = op(e4,op(e4,e4)),
introduced(tautology,[refl,[$fot(op(e4,op(e4,e4)))]]) ).
cnf(refute_16_13,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_16_14,plain,
( op(e4,e4) != e1
| op(e4,op(e4,e4)) = op(e4,e1) ),
inference(resolve,[$cnf( $equal(op(e4,op(e4,e4)),op(e4,op(e4,e4))) )],[refute_16_12,refute_16_13]) ).
cnf(refute_16_15,plain,
op(e4,op(e4,e4)) = op(e4,e1),
inference(resolve,[$cnf( $equal(op(e4,e4),e1) )],[refute_16_11,refute_16_14]) ).
cnf(refute_16_16,plain,
( e3 != op(e4,op(e4,e4))
| op(e4,op(e4,e4)) != op(e4,e1)
| e3 = op(e4,e1) ),
introduced(tautology,[equality,[$cnf( ~ $equal(e3,op(e4,e1)) ),[0],$fot(op(e4,op(e4,e4)))]]) ).
cnf(refute_16_17,plain,
( e3 != op(e4,op(e4,e4))
| e3 = op(e4,e1) ),
inference(resolve,[$cnf( $equal(op(e4,op(e4,e4)),op(e4,e1)) )],[refute_16_15,refute_16_16]) ).
cnf(refute_16_18,plain,
e3 = op(e4,e1),
inference(resolve,[$cnf( $equal(e3,op(e4,op(e4,e4))) )],[refute_16_5,refute_16_17]) ).
cnf(refute_16_19,plain,
( e3 != op(e4,e1)
| op(e4,e1) = e3 ),
inference(subst,[],[refute_16_9:[bind(X,$fot(e3)),bind(Y,$fot(op(e4,e1)))]]) ).
cnf(refute_16_20,plain,
op(e4,e1) = e3,
inference(resolve,[$cnf( $equal(e3,op(e4,e1)) )],[refute_16_18,refute_16_19]) ).
cnf(refute_16_21,plain,
( op(e3,e1) != e3
| op(e4,e1) != e3
| op(e3,e1) = op(e4,e1) ),
introduced(tautology,[equality,[$cnf( ~ $equal(op(e3,e1),op(e4,e1)) ),[1],$fot(e3)]]) ).
cnf(refute_16_22,plain,
( op(e3,e1) != e3
| op(e3,e1) = op(e4,e1) ),
inference(resolve,[$cnf( $equal(op(e4,e1),e3) )],[refute_16_20,refute_16_21]) ).
cnf(refute_16_23,plain,
op(e3,e1) != e3,
inference(resolve,[$cnf( $equal(op(e3,e1),op(e4,e1)) )],[refute_16_22,refute_16_4]) ).
cnf(refute_16_24,plain,
( op(e3,e1) = e0
| op(e3,e1) = e1
| op(e3,e1) = e2
| op(e3,e1) = e4 ),
inference(resolve,[$cnf( $equal(op(e3,e1),e3) )],[refute_16_3,refute_16_23]) ).
cnf(refute_16_25,plain,
op(e3,e1) != op(e3,e4),
inference(canonicalize,[],[normalize_16_12]) ).
cnf(refute_16_26,plain,
e2 = op(op(e4,op(e4,e4)),e4),
inference(canonicalize,[],[normalize_16_13]) ).
cnf(refute_16_27,plain,
op(op(e4,op(e4,e4)),e4) = op(op(e4,op(e4,e4)),e4),
introduced(tautology,[refl,[$fot(op(op(e4,op(e4,e4)),e4))]]) ).
cnf(refute_16_28,plain,
( op(e4,op(e4,e4)) != op(e4,e1)
| op(op(e4,op(e4,e4)),e4) != op(op(e4,op(e4,e4)),e4)
| op(op(e4,op(e4,e4)),e4) = op(op(e4,e1),e4) ),
introduced(tautology,[equality,[$cnf( $equal(op(op(e4,op(e4,e4)),e4),op(op(e4,op(e4,e4)),e4)) ),[1,0],$fot(op(e4,e1))]]) ).
cnf(refute_16_29,plain,
( op(e4,op(e4,e4)) != op(e4,e1)
| op(op(e4,op(e4,e4)),e4) = op(op(e4,e1),e4) ),
inference(resolve,[$cnf( $equal(op(op(e4,op(e4,e4)),e4),op(op(e4,op(e4,e4)),e4)) )],[refute_16_27,refute_16_28]) ).
cnf(refute_16_30,plain,
op(op(e4,op(e4,e4)),e4) = op(op(e4,e1),e4),
inference(resolve,[$cnf( $equal(op(e4,op(e4,e4)),op(e4,e1)) )],[refute_16_15,refute_16_29]) ).
cnf(refute_16_31,plain,
( e2 != op(op(e4,op(e4,e4)),e4)
| op(op(e4,op(e4,e4)),e4) != op(op(e4,e1),e4)
| e2 = op(op(e4,e1),e4) ),
introduced(tautology,[equality,[$cnf( ~ $equal(e2,op(op(e4,e1),e4)) ),[0],$fot(op(op(e4,op(e4,e4)),e4))]]) ).
cnf(refute_16_32,plain,
( e2 != op(op(e4,op(e4,e4)),e4)
| e2 = op(op(e4,e1),e4) ),
inference(resolve,[$cnf( $equal(op(op(e4,op(e4,e4)),e4),op(op(e4,e1),e4)) )],[refute_16_30,refute_16_31]) ).
cnf(refute_16_33,plain,
e2 = op(op(e4,e1),e4),
inference(resolve,[$cnf( $equal(e2,op(op(e4,op(e4,e4)),e4)) )],[refute_16_26,refute_16_32]) ).
cnf(refute_16_34,plain,
op(op(e4,e1),e4) = op(op(e4,e1),e4),
introduced(tautology,[refl,[$fot(op(op(e4,e1),e4))]]) ).
cnf(refute_16_35,plain,
( op(e4,e1) != e3
| op(op(e4,e1),e4) != op(op(e4,e1),e4)
| op(op(e4,e1),e4) = op(e3,e4) ),
introduced(tautology,[equality,[$cnf( $equal(op(op(e4,e1),e4),op(op(e4,e1),e4)) ),[1,0],$fot(e3)]]) ).
cnf(refute_16_36,plain,
( op(e4,e1) != e3
| op(op(e4,e1),e4) = op(e3,e4) ),
inference(resolve,[$cnf( $equal(op(op(e4,e1),e4),op(op(e4,e1),e4)) )],[refute_16_34,refute_16_35]) ).
cnf(refute_16_37,plain,
op(op(e4,e1),e4) = op(e3,e4),
inference(resolve,[$cnf( $equal(op(e4,e1),e3) )],[refute_16_20,refute_16_36]) ).
cnf(refute_16_38,plain,
( e2 != op(op(e4,e1),e4)
| op(op(e4,e1),e4) != op(e3,e4)
| e2 = op(e3,e4) ),
introduced(tautology,[equality,[$cnf( ~ $equal(e2,op(e3,e4)) ),[0],$fot(op(op(e4,e1),e4))]]) ).
cnf(refute_16_39,plain,
( e2 != op(op(e4,e1),e4)
| e2 = op(e3,e4) ),
inference(resolve,[$cnf( $equal(op(op(e4,e1),e4),op(e3,e4)) )],[refute_16_37,refute_16_38]) ).
cnf(refute_16_40,plain,
e2 = op(e3,e4),
inference(resolve,[$cnf( $equal(e2,op(op(e4,e1),e4)) )],[refute_16_33,refute_16_39]) ).
cnf(refute_16_41,plain,
( e2 != op(e3,e4)
| op(e3,e4) = e2 ),
inference(subst,[],[refute_16_9:[bind(X,$fot(e2)),bind(Y,$fot(op(e3,e4)))]]) ).
cnf(refute_16_42,plain,
op(e3,e4) = e2,
inference(resolve,[$cnf( $equal(e2,op(e3,e4)) )],[refute_16_40,refute_16_41]) ).
cnf(refute_16_43,plain,
( op(e3,e1) != e2
| op(e3,e4) != e2
| op(e3,e1) = op(e3,e4) ),
introduced(tautology,[equality,[$cnf( ~ $equal(op(e3,e1),op(e3,e4)) ),[1],$fot(e2)]]) ).
cnf(refute_16_44,plain,
( op(e3,e1) != e2
| op(e3,e1) = op(e3,e4) ),
inference(resolve,[$cnf( $equal(op(e3,e4),e2) )],[refute_16_42,refute_16_43]) ).
cnf(refute_16_45,plain,
op(e3,e1) != e2,
inference(resolve,[$cnf( $equal(op(e3,e1),op(e3,e4)) )],[refute_16_44,refute_16_25]) ).
cnf(refute_16_46,plain,
( op(e3,e1) = e0
| op(e3,e1) = e1
| op(e3,e1) = e4 ),
inference(resolve,[$cnf( $equal(op(e3,e1),e2) )],[refute_16_24,refute_16_45]) ).
cnf(refute_16_47,plain,
( op(e3,e1) != e0
| op(op(e3,e1),e1) != e3
| op(e0,e1) = e3 ),
introduced(tautology,[equality,[$cnf( $equal(op(op(e3,e1),e1),e3) ),[0,0],$fot(e0)]]) ).
cnf(refute_16_48,plain,
( op(op(e3,e1),e1) != e3
| op(e0,e1) = e3
| op(e3,e1) = e1
| op(e3,e1) = e4 ),
inference(resolve,[$cnf( $equal(op(e3,e1),e0) )],[refute_16_46,refute_16_47]) ).
cnf(refute_16_49,plain,
( op(e0,e1) = e3
| op(e3,e1) = e1
| op(e3,e1) = e4 ),
inference(resolve,[$cnf( $equal(op(op(e3,e1),e1),e3) )],[refute_16_2,refute_16_48]) ).
cnf(refute_16_50,plain,
op(e0,e1) != op(e4,e1),
inference(canonicalize,[],[normalize_16_14]) ).
cnf(refute_16_51,plain,
( op(e0,e1) != e3
| op(e4,e1) != e3
| op(e0,e1) = op(e4,e1) ),
introduced(tautology,[equality,[$cnf( ~ $equal(op(e0,e1),op(e4,e1)) ),[1],$fot(e3)]]) ).
cnf(refute_16_52,plain,
( op(e0,e1) != e3
| op(e0,e1) = op(e4,e1) ),
inference(resolve,[$cnf( $equal(op(e4,e1),e3) )],[refute_16_20,refute_16_51]) ).
cnf(refute_16_53,plain,
op(e0,e1) != e3,
inference(resolve,[$cnf( $equal(op(e0,e1),op(e4,e1)) )],[refute_16_52,refute_16_50]) ).
cnf(refute_16_54,plain,
( op(e3,e1) = e1
| op(e3,e1) = e4 ),
inference(resolve,[$cnf( $equal(op(e0,e1),e3) )],[refute_16_49,refute_16_53]) ).
cnf(refute_16_55,plain,
( op(e3,e1) != e1
| op(op(e3,e1),e1) != e3
| op(e1,e1) = e3 ),
introduced(tautology,[equality,[$cnf( $equal(op(op(e3,e1),e1),e3) ),[0,0],$fot(e1)]]) ).
cnf(refute_16_56,plain,
( op(op(e3,e1),e1) != e3
| op(e1,e1) = e3
| op(e3,e1) = e4 ),
inference(resolve,[$cnf( $equal(op(e3,e1),e1) )],[refute_16_54,refute_16_55]) ).
cnf(refute_16_57,plain,
( op(e1,e1) = e3
| op(e3,e1) = e4 ),
inference(resolve,[$cnf( $equal(op(op(e3,e1),e1),e3) )],[refute_16_2,refute_16_56]) ).
cnf(refute_16_58,plain,
op(e1,e1) != op(e4,e1),
inference(canonicalize,[],[normalize_16_15]) ).
cnf(refute_16_59,plain,
( op(e1,e1) != e3
| op(e4,e1) != e3
| op(e1,e1) = op(e4,e1) ),
introduced(tautology,[equality,[$cnf( ~ $equal(op(e1,e1),op(e4,e1)) ),[1],$fot(e3)]]) ).
cnf(refute_16_60,plain,
( op(e1,e1) != e3
| op(e1,e1) = op(e4,e1) ),
inference(resolve,[$cnf( $equal(op(e4,e1),e3) )],[refute_16_20,refute_16_59]) ).
cnf(refute_16_61,plain,
op(e1,e1) != e3,
inference(resolve,[$cnf( $equal(op(e1,e1),op(e4,e1)) )],[refute_16_60,refute_16_58]) ).
cnf(refute_16_62,plain,
op(e3,e1) = e4,
inference(resolve,[$cnf( $equal(op(e1,e1),e3) )],[refute_16_57,refute_16_61]) ).
cnf(refute_16_63,plain,
( op(e3,e1) != e0
| op(e3,e1) != e4
| e4 = e0 ),
introduced(tautology,[equality,[$cnf( $equal(op(e3,e1),e0) ),[0],$fot(e4)]]) ).
cnf(refute_16_64,plain,
( op(e3,e1) != e0
| e4 = e0 ),
inference(resolve,[$cnf( $equal(op(e3,e1),e4) )],[refute_16_62,refute_16_63]) ).
cnf(refute_16_65,plain,
( e4 = e0
| op(e3,e0) = e0
| op(e3,e2) = e0
| op(e3,e3) = e0
| op(e3,e4) = e0 ),
inference(resolve,[$cnf( $equal(op(e3,e1),e0) )],[refute_16_1,refute_16_64]) ).
cnf(refute_16_66,plain,
( op(e3,e4) != e0
| op(e3,e4) != e2
| e2 = e0 ),
introduced(tautology,[equality,[$cnf( $equal(op(e3,e4),e0) ),[0],$fot(e2)]]) ).
cnf(refute_16_67,plain,
( op(e3,e4) != e0
| e2 = e0 ),
inference(resolve,[$cnf( $equal(op(e3,e4),e2) )],[refute_16_42,refute_16_66]) ).
cnf(refute_16_68,plain,
( e2 = e0
| e4 = e0
| op(e3,e0) = e0
| op(e3,e2) = e0
| op(e3,e3) = e0 ),
inference(resolve,[$cnf( $equal(op(e3,e4),e0) )],[refute_16_65,refute_16_67]) ).
cnf(refute_16_69,plain,
e0 != e2,
inference(canonicalize,[],[normalize_16_17]) ).
cnf(refute_16_70,plain,
( e2 != e0
| e0 = e2 ),
inference(subst,[],[refute_16_9:[bind(X,$fot(e2)),bind(Y,$fot(e0))]]) ).
cnf(refute_16_71,plain,
e2 != e0,
inference(resolve,[$cnf( $equal(e0,e2) )],[refute_16_70,refute_16_69]) ).
cnf(refute_16_72,plain,
( e4 = e0
| op(e3,e0) = e0
| op(e3,e2) = e0
| op(e3,e3) = e0 ),
inference(resolve,[$cnf( $equal(e2,e0) )],[refute_16_68,refute_16_71]) ).
cnf(refute_16_73,plain,
e0 != e4,
inference(canonicalize,[],[normalize_16_18]) ).
cnf(refute_16_74,plain,
( e4 != e0
| e0 = e4 ),
inference(subst,[],[refute_16_9:[bind(X,$fot(e4)),bind(Y,$fot(e0))]]) ).
cnf(refute_16_75,plain,
e4 != e0,
inference(resolve,[$cnf( $equal(e0,e4) )],[refute_16_74,refute_16_73]) ).
cnf(refute_16_76,plain,
( op(e3,e0) = e0
| op(e3,e2) = e0
| op(e3,e3) = e0 ),
inference(resolve,[$cnf( $equal(e4,e0) )],[refute_16_72,refute_16_75]) ).
cnf(refute_16_77,plain,
op(e3,unit) = e3,
inference(canonicalize,[],[normalize_16_20]) ).
cnf(refute_16_78,plain,
op(unit,e4) = e4,
inference(canonicalize,[],[normalize_16_21]) ).
cnf(refute_16_79,plain,
op(e4,unit) = e4,
inference(canonicalize,[],[normalize_16_22]) ).
cnf(refute_16_80,plain,
( unit = e0
| unit = e1
| unit = e2
| unit = e3
| unit = e4 ),
inference(canonicalize,[],[normalize_16_23]) ).
cnf(refute_16_81,plain,
( op(e4,unit) != e4
| unit != e1
| op(e4,e1) = e4 ),
introduced(tautology,[equality,[$cnf( $equal(op(e4,unit),e4) ),[0,1],$fot(e1)]]) ).
cnf(refute_16_82,plain,
( op(e4,unit) != e4
| op(e4,e1) = e4
| unit = e0
| unit = e2
| unit = e3
| unit = e4 ),
inference(resolve,[$cnf( $equal(unit,e1) )],[refute_16_80,refute_16_81]) ).
cnf(refute_16_83,plain,
( op(e4,e1) = e4
| unit = e0
| unit = e2
| unit = e3
| unit = e4 ),
inference(resolve,[$cnf( $equal(op(e4,unit),e4) )],[refute_16_79,refute_16_82]) ).
cnf(refute_16_84,plain,
( op(e4,e1) != e3
| op(e4,e1) != e4
| e3 = e4 ),
introduced(tautology,[equality,[$cnf( $equal(op(e4,e1),e4) ),[0],$fot(e3)]]) ).
cnf(refute_16_85,plain,
( op(e4,e1) != e4
| e3 = e4 ),
inference(resolve,[$cnf( $equal(op(e4,e1),e3) )],[refute_16_20,refute_16_84]) ).
cnf(refute_16_86,plain,
( e3 = e4
| unit = e0
| unit = e2
| unit = e3
| unit = e4 ),
inference(resolve,[$cnf( $equal(op(e4,e1),e4) )],[refute_16_83,refute_16_85]) ).
cnf(refute_16_87,plain,
e3 != e4,
inference(canonicalize,[],[normalize_16_24]) ).
cnf(refute_16_88,plain,
( unit = e0
| unit = e2
| unit = e3
| unit = e4 ),
inference(resolve,[$cnf( $equal(e3,e4) )],[refute_16_86,refute_16_87]) ).
cnf(refute_16_89,plain,
( op(unit,e4) != e4
| unit != e3
| op(e3,e4) = e4 ),
introduced(tautology,[equality,[$cnf( $equal(op(unit,e4),e4) ),[0,0],$fot(e3)]]) ).
cnf(refute_16_90,plain,
( op(unit,e4) != e4
| op(e3,e4) = e4
| unit = e0
| unit = e2
| unit = e4 ),
inference(resolve,[$cnf( $equal(unit,e3) )],[refute_16_88,refute_16_89]) ).
cnf(refute_16_91,plain,
( op(e3,e4) = e4
| unit = e0
| unit = e2
| unit = e4 ),
inference(resolve,[$cnf( $equal(op(unit,e4),e4) )],[refute_16_78,refute_16_90]) ).
cnf(refute_16_92,plain,
( op(e3,e4) != e2
| op(e3,e4) != e4
| e2 = e4 ),
introduced(tautology,[equality,[$cnf( $equal(op(e3,e4),e4) ),[0],$fot(e2)]]) ).
cnf(refute_16_93,plain,
( op(e3,e4) != e4
| e2 = e4 ),
inference(resolve,[$cnf( $equal(op(e3,e4),e2) )],[refute_16_42,refute_16_92]) ).
cnf(refute_16_94,plain,
( e2 = e4
| unit = e0
| unit = e2
| unit = e4 ),
inference(resolve,[$cnf( $equal(op(e3,e4),e4) )],[refute_16_91,refute_16_93]) ).
cnf(refute_16_95,plain,
e2 != e4,
inference(canonicalize,[],[normalize_16_25]) ).
cnf(refute_16_96,plain,
( unit = e0
| unit = e2
| unit = e4 ),
inference(resolve,[$cnf( $equal(e2,e4) )],[refute_16_94,refute_16_95]) ).
cnf(refute_16_97,plain,
( op(e4,unit) != e4
| unit != e4
| op(e4,e4) = e4 ),
introduced(tautology,[equality,[$cnf( $equal(op(e4,unit),e4) ),[0,1],$fot(e4)]]) ).
cnf(refute_16_98,plain,
( op(e4,unit) != e4
| op(e4,e4) = e4
| unit = e0
| unit = e2 ),
inference(resolve,[$cnf( $equal(unit,e4) )],[refute_16_96,refute_16_97]) ).
cnf(refute_16_99,plain,
( op(e4,e4) = e4
| unit = e0
| unit = e2 ),
inference(resolve,[$cnf( $equal(op(e4,unit),e4) )],[refute_16_79,refute_16_98]) ).
cnf(refute_16_100,plain,
( op(e4,e4) != e1
| op(e4,e4) != e4
| e1 = e4 ),
introduced(tautology,[equality,[$cnf( $equal(op(e4,e4),e4) ),[0],$fot(e1)]]) ).
cnf(refute_16_101,plain,
( op(e4,e4) != e4
| e1 = e4 ),
inference(resolve,[$cnf( $equal(op(e4,e4),e1) )],[refute_16_11,refute_16_100]) ).
cnf(refute_16_102,plain,
( e1 = e4
| unit = e0
| unit = e2 ),
inference(resolve,[$cnf( $equal(op(e4,e4),e4) )],[refute_16_99,refute_16_101]) ).
cnf(refute_16_103,plain,
e1 != e4,
inference(canonicalize,[],[normalize_16_26]) ).
cnf(refute_16_104,plain,
( unit = e0
| unit = e2 ),
inference(resolve,[$cnf( $equal(e1,e4) )],[refute_16_102,refute_16_103]) ).
cnf(refute_16_105,plain,
( op(unit,e4) != e4
| unit != e0
| op(e0,e4) = e4 ),
introduced(tautology,[equality,[$cnf( $equal(op(unit,e4),e4) ),[0,0],$fot(e0)]]) ).
cnf(refute_16_106,plain,
( op(unit,e4) != e4
| op(e0,e4) = e4
| unit = e2 ),
inference(resolve,[$cnf( $equal(unit,e0) )],[refute_16_104,refute_16_105]) ).
cnf(refute_16_107,plain,
( op(e0,e4) = e4
| unit = e2 ),
inference(resolve,[$cnf( $equal(op(unit,e4),e4) )],[refute_16_78,refute_16_106]) ).
cnf(refute_16_108,plain,
( op(op(e2,e4),e4) != e2
| op(e4,e2) = op(e2,e4)
| op(op(e2,e4),e2) = e4 ),
inference(canonicalize,[],[normalize_16_27]) ).
cnf(refute_16_109,plain,
( op(e0,e4) = e3
| op(e1,e4) = e3
| op(e2,e4) = e3
| op(e3,e4) = e3
| op(e4,e4) = e3 ),
inference(canonicalize,[],[normalize_16_28]) ).
cnf(refute_16_110,plain,
( op(e4,e4) != e1
| op(e4,e4) != e3
| e1 = e3 ),
introduced(tautology,[equality,[$cnf( $equal(op(e4,e4),e3) ),[0],$fot(e1)]]) ).
cnf(refute_16_111,plain,
( op(e4,e4) != e3
| e1 = e3 ),
inference(resolve,[$cnf( $equal(op(e4,e4),e1) )],[refute_16_11,refute_16_110]) ).
cnf(refute_16_112,plain,
( e1 = e3
| op(e0,e4) = e3
| op(e1,e4) = e3
| op(e2,e4) = e3
| op(e3,e4) = e3 ),
inference(resolve,[$cnf( $equal(op(e4,e4),e3) )],[refute_16_109,refute_16_111]) ).
cnf(refute_16_113,plain,
op(e4,e1) != op(e4,e4),
inference(canonicalize,[],[normalize_16_29]) ).
cnf(refute_16_114,plain,
( e3 != op(e4,e4)
| op(e4,e1) != e3
| op(e4,e1) = op(e4,e4) ),
introduced(tautology,[equality,[$cnf( $equal(op(e4,e1),e3) ),[1],$fot(op(e4,e4))]]) ).
cnf(refute_16_115,plain,
( e3 != op(e4,e4)
| op(e4,e1) = op(e4,e4) ),
inference(resolve,[$cnf( $equal(op(e4,e1),e3) )],[refute_16_20,refute_16_114]) ).
cnf(refute_16_116,plain,
( e3 != e1
| op(e4,e4) != e1
| e3 = op(e4,e4) ),
introduced(tautology,[equality,[$cnf( ~ $equal(e3,op(e4,e4)) ),[1],$fot(e1)]]) ).
cnf(refute_16_117,plain,
( e3 != e1
| e3 = op(e4,e4) ),
inference(resolve,[$cnf( $equal(op(e4,e4),e1) )],[refute_16_11,refute_16_116]) ).
cnf(refute_16_118,plain,
( e3 != e1
| op(e4,e1) = op(e4,e4) ),
inference(resolve,[$cnf( $equal(e3,op(e4,e4)) )],[refute_16_117,refute_16_115]) ).
cnf(refute_16_119,plain,
e3 != e1,
inference(resolve,[$cnf( $equal(op(e4,e1),op(e4,e4)) )],[refute_16_118,refute_16_113]) ).
cnf(refute_16_120,plain,
( e1 != e3
| e3 = e1 ),
inference(subst,[],[refute_16_9:[bind(X,$fot(e1)),bind(Y,$fot(e3))]]) ).
cnf(refute_16_121,plain,
e1 != e3,
inference(resolve,[$cnf( $equal(e3,e1) )],[refute_16_120,refute_16_119]) ).
cnf(refute_16_122,plain,
( op(e0,e4) = e3
| op(e1,e4) = e3
| op(e2,e4) = e3
| op(e3,e4) = e3 ),
inference(resolve,[$cnf( $equal(e1,e3) )],[refute_16_112,refute_16_121]) ).
cnf(refute_16_123,plain,
e0 = op(op(e4,e4),e4),
inference(canonicalize,[],[normalize_16_30]) ).
cnf(refute_16_124,plain,
op(op(e4,e4),e4) = op(op(e4,e4),e4),
introduced(tautology,[refl,[$fot(op(op(e4,e4),e4))]]) ).
cnf(refute_16_125,plain,
( op(e4,e4) != e1
| op(op(e4,e4),e4) != op(op(e4,e4),e4)
| op(op(e4,e4),e4) = op(e1,e4) ),
introduced(tautology,[equality,[$cnf( $equal(op(op(e4,e4),e4),op(op(e4,e4),e4)) ),[1,0],$fot(e1)]]) ).
cnf(refute_16_126,plain,
( op(e4,e4) != e1
| op(op(e4,e4),e4) = op(e1,e4) ),
inference(resolve,[$cnf( $equal(op(op(e4,e4),e4),op(op(e4,e4),e4)) )],[refute_16_124,refute_16_125]) ).
cnf(refute_16_127,plain,
op(op(e4,e4),e4) = op(e1,e4),
inference(resolve,[$cnf( $equal(op(e4,e4),e1) )],[refute_16_11,refute_16_126]) ).
cnf(refute_16_128,plain,
( e0 != op(op(e4,e4),e4)
| op(op(e4,e4),e4) != op(e1,e4)
| e0 = op(e1,e4) ),
introduced(tautology,[equality,[$cnf( ~ $equal(e0,op(e1,e4)) ),[0],$fot(op(op(e4,e4),e4))]]) ).
cnf(refute_16_129,plain,
( e0 != op(op(e4,e4),e4)
| e0 = op(e1,e4) ),
inference(resolve,[$cnf( $equal(op(op(e4,e4),e4),op(e1,e4)) )],[refute_16_127,refute_16_128]) ).
cnf(refute_16_130,plain,
e0 = op(e1,e4),
inference(resolve,[$cnf( $equal(e0,op(op(e4,e4),e4)) )],[refute_16_123,refute_16_129]) ).
cnf(refute_16_131,plain,
( e0 != op(e1,e4)
| op(e1,e4) = e0 ),
inference(subst,[],[refute_16_9:[bind(X,$fot(e0)),bind(Y,$fot(op(e1,e4)))]]) ).
cnf(refute_16_132,plain,
op(e1,e4) = e0,
inference(resolve,[$cnf( $equal(e0,op(e1,e4)) )],[refute_16_130,refute_16_131]) ).
cnf(refute_16_133,plain,
( op(e1,e4) != e0
| op(e1,e4) != e3
| e0 = e3 ),
introduced(tautology,[equality,[$cnf( $equal(op(e1,e4),e3) ),[0],$fot(e0)]]) ).
cnf(refute_16_134,plain,
( op(e1,e4) != e3
| e0 = e3 ),
inference(resolve,[$cnf( $equal(op(e1,e4),e0) )],[refute_16_132,refute_16_133]) ).
cnf(refute_16_135,plain,
( e0 = e3
| op(e0,e4) = e3
| op(e2,e4) = e3
| op(e3,e4) = e3 ),
inference(resolve,[$cnf( $equal(op(e1,e4),e3) )],[refute_16_122,refute_16_134]) ).
cnf(refute_16_136,plain,
( op(e3,e4) != e2
| op(e3,e4) != e3
| e2 = e3 ),
introduced(tautology,[equality,[$cnf( $equal(op(e3,e4),e3) ),[0],$fot(e2)]]) ).
cnf(refute_16_137,plain,
( op(e3,e4) != e3
| e2 = e3 ),
inference(resolve,[$cnf( $equal(op(e3,e4),e2) )],[refute_16_42,refute_16_136]) ).
cnf(refute_16_138,plain,
( e0 = e3
| e2 = e3
| op(e0,e4) = e3
| op(e2,e4) = e3 ),
inference(resolve,[$cnf( $equal(op(e3,e4),e3) )],[refute_16_135,refute_16_137]) ).
cnf(refute_16_139,plain,
e0 != e3,
inference(canonicalize,[],[normalize_16_31]) ).
cnf(refute_16_140,plain,
( e2 = e3
| op(e0,e4) = e3
| op(e2,e4) = e3 ),
inference(resolve,[$cnf( $equal(e0,e3) )],[refute_16_138,refute_16_139]) ).
cnf(refute_16_141,plain,
e2 != e3,
inference(canonicalize,[],[normalize_16_32]) ).
cnf(refute_16_142,plain,
( op(e0,e4) = e3
| op(e2,e4) = e3 ),
inference(resolve,[$cnf( $equal(e2,e3) )],[refute_16_140,refute_16_141]) ).
cnf(refute_16_143,plain,
( op(e2,e4) != e3
| op(e3,e4) != e2
| op(op(e2,e4),e4) = e2 ),
introduced(tautology,[equality,[$cnf( ~ $equal(op(op(e2,e4),e4),e2) ),[0,0],$fot(e3)]]) ).
cnf(refute_16_144,plain,
( op(e3,e4) != e2
| op(e0,e4) = e3
| op(op(e2,e4),e4) = e2 ),
inference(resolve,[$cnf( $equal(op(e2,e4),e3) )],[refute_16_142,refute_16_143]) ).
cnf(refute_16_145,plain,
( op(e3,e4) != e2
| op(e0,e4) = e3
| op(e4,e2) = op(e2,e4)
| op(op(e2,e4),e2) = e4 ),
inference(resolve,[$cnf( $equal(op(op(e2,e4),e4),e2) )],[refute_16_144,refute_16_108]) ).
cnf(refute_16_146,plain,
( e2 != e2
| op(e3,e4) != e2
| op(e3,e4) = e2 ),
introduced(tautology,[equality,[$cnf( $equal(op(e3,e4),e2) ),[1],$fot(e2)]]) ).
cnf(refute_16_147,plain,
( e2 != e2
| op(e3,e4) = e2 ),
inference(resolve,[$cnf( $equal(op(e3,e4),e2) )],[refute_16_42,refute_16_146]) ).
cnf(refute_16_148,plain,
( e2 != e2
| op(e0,e4) = e3
| op(e4,e2) = op(e2,e4)
| op(op(e2,e4),e2) = e4 ),
inference(resolve,[$cnf( $equal(op(e3,e4),e2) )],[refute_16_147,refute_16_145]) ).
cnf(refute_16_149,plain,
e2 = e2,
introduced(tautology,[refl,[$fot(e2)]]) ).
cnf(refute_16_150,plain,
( op(e0,e4) = e3
| op(e4,e2) = op(e2,e4)
| op(op(e2,e4),e2) = e4 ),
inference(resolve,[$cnf( $equal(e2,e2) )],[refute_16_149,refute_16_148]) ).
cnf(refute_16_151,plain,
( op(e2,e4) != e3
| op(op(e2,e4),e2) != e4
| op(e3,e2) = e4 ),
introduced(tautology,[equality,[$cnf( $equal(op(op(e2,e4),e2),e4) ),[0,0],$fot(e3)]]) ).
cnf(refute_16_152,plain,
( op(op(e2,e4),e2) != e4
| op(e0,e4) = e3
| op(e3,e2) = e4 ),
inference(resolve,[$cnf( $equal(op(e2,e4),e3) )],[refute_16_142,refute_16_151]) ).
cnf(refute_16_153,plain,
( op(e0,e4) = e3
| op(e3,e2) = e4
| op(e4,e2) = op(e2,e4) ),
inference(resolve,[$cnf( $equal(op(op(e2,e4),e2),e4) )],[refute_16_150,refute_16_152]) ).
cnf(refute_16_154,plain,
op(e3,e1) != op(e3,e2),
inference(canonicalize,[],[normalize_16_33]) ).
cnf(refute_16_155,plain,
( e4 != op(e3,e2)
| op(e3,e1) != e4
| op(e3,e1) = op(e3,e2) ),
introduced(tautology,[equality,[$cnf( $equal(op(e3,e1),e4) ),[1],$fot(op(e3,e2))]]) ).
cnf(refute_16_156,plain,
( e4 != op(e3,e2)
| op(e3,e1) = op(e3,e2) ),
inference(resolve,[$cnf( $equal(op(e3,e1),e4) )],[refute_16_62,refute_16_155]) ).
cnf(refute_16_157,plain,
e4 != op(e3,e2),
inference(resolve,[$cnf( $equal(op(e3,e1),op(e3,e2)) )],[refute_16_156,refute_16_154]) ).
cnf(refute_16_158,plain,
( op(e3,e2) != e4
| e4 = op(e3,e2) ),
inference(subst,[],[refute_16_9:[bind(X,$fot(op(e3,e2))),bind(Y,$fot(e4))]]) ).
cnf(refute_16_159,plain,
op(e3,e2) != e4,
inference(resolve,[$cnf( $equal(e4,op(e3,e2)) )],[refute_16_158,refute_16_157]) ).
cnf(refute_16_160,plain,
( op(e0,e4) = e3
| op(e4,e2) = op(e2,e4) ),
inference(resolve,[$cnf( $equal(op(e3,e2),e4) )],[refute_16_153,refute_16_159]) ).
cnf(refute_16_161,plain,
( op(e2,e4) != e3
| op(e4,e2) != op(e2,e4)
| op(e4,e2) = e3 ),
introduced(tautology,[equality,[$cnf( $equal(op(e4,e2),op(e2,e4)) ),[1],$fot(e3)]]) ).
cnf(refute_16_162,plain,
( op(e4,e2) != op(e2,e4)
| op(e0,e4) = e3
| op(e4,e2) = e3 ),
inference(resolve,[$cnf( $equal(op(e2,e4),e3) )],[refute_16_142,refute_16_161]) ).
cnf(refute_16_163,plain,
( op(e0,e4) = e3
| op(e4,e2) = e3 ),
inference(resolve,[$cnf( $equal(op(e4,e2),op(e2,e4)) )],[refute_16_160,refute_16_162]) ).
cnf(refute_16_164,plain,
op(e4,e1) != op(e4,e2),
inference(canonicalize,[],[normalize_16_34]) ).
cnf(refute_16_165,plain,
( e3 != op(e4,e2)
| op(e4,e1) != e3
| op(e4,e1) = op(e4,e2) ),
introduced(tautology,[equality,[$cnf( $equal(op(e4,e1),e3) ),[1],$fot(op(e4,e2))]]) ).
cnf(refute_16_166,plain,
( e3 != op(e4,e2)
| op(e4,e1) = op(e4,e2) ),
inference(resolve,[$cnf( $equal(op(e4,e1),e3) )],[refute_16_20,refute_16_165]) ).
cnf(refute_16_167,plain,
e3 != op(e4,e2),
inference(resolve,[$cnf( $equal(op(e4,e1),op(e4,e2)) )],[refute_16_166,refute_16_164]) ).
cnf(refute_16_168,plain,
( op(e4,e2) != e3
| e3 = op(e4,e2) ),
inference(subst,[],[refute_16_9:[bind(X,$fot(op(e4,e2))),bind(Y,$fot(e3))]]) ).
cnf(refute_16_169,plain,
op(e4,e2) != e3,
inference(resolve,[$cnf( $equal(e3,op(e4,e2)) )],[refute_16_168,refute_16_167]) ).
cnf(refute_16_170,plain,
op(e0,e4) = e3,
inference(resolve,[$cnf( $equal(op(e4,e2),e3) )],[refute_16_163,refute_16_169]) ).
cnf(refute_16_171,plain,
( op(e0,e4) != e3
| op(e0,e4) != e4
| e3 = e4 ),
introduced(tautology,[equality,[$cnf( $equal(op(e0,e4),e4) ),[0],$fot(e3)]]) ).
cnf(refute_16_172,plain,
( op(e0,e4) != e4
| e3 = e4 ),
inference(resolve,[$cnf( $equal(op(e0,e4),e3) )],[refute_16_170,refute_16_171]) ).
cnf(refute_16_173,plain,
( e3 = e4
| unit = e2 ),
inference(resolve,[$cnf( $equal(op(e0,e4),e4) )],[refute_16_107,refute_16_172]) ).
cnf(refute_16_174,plain,
unit = e2,
inference(resolve,[$cnf( $equal(e3,e4) )],[refute_16_173,refute_16_87]) ).
cnf(refute_16_175,plain,
op(e3,unit) = op(e3,unit),
introduced(tautology,[refl,[$fot(op(e3,unit))]]) ).
cnf(refute_16_176,plain,
( op(e3,unit) != op(e3,unit)
| unit != e2
| op(e3,unit) = op(e3,e2) ),
introduced(tautology,[equality,[$cnf( $equal(op(e3,unit),op(e3,unit)) ),[1,1],$fot(e2)]]) ).
cnf(refute_16_177,plain,
( unit != e2
| op(e3,unit) = op(e3,e2) ),
inference(resolve,[$cnf( $equal(op(e3,unit),op(e3,unit)) )],[refute_16_175,refute_16_176]) ).
cnf(refute_16_178,plain,
op(e3,unit) = op(e3,e2),
inference(resolve,[$cnf( $equal(unit,e2) )],[refute_16_174,refute_16_177]) ).
cnf(refute_16_179,plain,
( op(e3,unit) != e3
| op(e3,unit) != op(e3,e2)
| op(e3,e2) = e3 ),
introduced(tautology,[equality,[$cnf( $equal(op(e3,unit),e3) ),[0],$fot(op(e3,e2))]]) ).
cnf(refute_16_180,plain,
( op(e3,unit) != e3
| op(e3,e2) = e3 ),
inference(resolve,[$cnf( $equal(op(e3,unit),op(e3,e2)) )],[refute_16_178,refute_16_179]) ).
cnf(refute_16_181,plain,
op(e3,e2) = e3,
inference(resolve,[$cnf( $equal(op(e3,unit),e3) )],[refute_16_77,refute_16_180]) ).
cnf(refute_16_182,plain,
( op(e3,e2) != e0
| op(e3,e2) != e3
| e3 = e0 ),
introduced(tautology,[equality,[$cnf( $equal(op(e3,e2),e0) ),[0],$fot(e3)]]) ).
cnf(refute_16_183,plain,
( op(e3,e2) != e0
| e3 = e0 ),
inference(resolve,[$cnf( $equal(op(e3,e2),e3) )],[refute_16_181,refute_16_182]) ).
cnf(refute_16_184,plain,
( e3 = e0
| op(e3,e0) = e0
| op(e3,e3) = e0 ),
inference(resolve,[$cnf( $equal(op(e3,e2),e0) )],[refute_16_76,refute_16_183]) ).
cnf(refute_16_185,plain,
( e3 != e0
| e0 = e3 ),
inference(subst,[],[refute_16_9:[bind(X,$fot(e3)),bind(Y,$fot(e0))]]) ).
cnf(refute_16_186,plain,
e3 != e0,
inference(resolve,[$cnf( $equal(e0,e3) )],[refute_16_185,refute_16_139]) ).
cnf(refute_16_187,plain,
( op(e3,e0) = e0
| op(e3,e3) = e0 ),
inference(resolve,[$cnf( $equal(e3,e0) )],[refute_16_184,refute_16_186]) ).
cnf(refute_16_188,plain,
op(e2,e0) != op(e3,e0),
inference(canonicalize,[],[normalize_16_35]) ).
cnf(refute_16_189,plain,
op(unit,e0) = e0,
inference(canonicalize,[],[normalize_16_36]) ).
cnf(refute_16_190,plain,
op(unit,e0) = op(unit,e0),
introduced(tautology,[refl,[$fot(op(unit,e0))]]) ).
cnf(refute_16_191,plain,
( op(unit,e0) != op(unit,e0)
| unit != e2
| op(unit,e0) = op(e2,e0) ),
introduced(tautology,[equality,[$cnf( $equal(op(unit,e0),op(unit,e0)) ),[1,0],$fot(e2)]]) ).
cnf(refute_16_192,plain,
( unit != e2
| op(unit,e0) = op(e2,e0) ),
inference(resolve,[$cnf( $equal(op(unit,e0),op(unit,e0)) )],[refute_16_190,refute_16_191]) ).
cnf(refute_16_193,plain,
op(unit,e0) = op(e2,e0),
inference(resolve,[$cnf( $equal(unit,e2) )],[refute_16_174,refute_16_192]) ).
cnf(refute_16_194,plain,
( op(unit,e0) != e0
| op(unit,e0) != op(e2,e0)
| op(e2,e0) = e0 ),
introduced(tautology,[equality,[$cnf( $equal(op(unit,e0),e0) ),[0],$fot(op(e2,e0))]]) ).
cnf(refute_16_195,plain,
( op(unit,e0) != e0
| op(e2,e0) = e0 ),
inference(resolve,[$cnf( $equal(op(unit,e0),op(e2,e0)) )],[refute_16_193,refute_16_194]) ).
cnf(refute_16_196,plain,
op(e2,e0) = e0,
inference(resolve,[$cnf( $equal(op(unit,e0),e0) )],[refute_16_189,refute_16_195]) ).
cnf(refute_16_197,plain,
( e0 != op(e3,e0)
| op(e2,e0) != e0
| op(e2,e0) = op(e3,e0) ),
introduced(tautology,[equality,[$cnf( $equal(op(e2,e0),e0) ),[1],$fot(op(e3,e0))]]) ).
cnf(refute_16_198,plain,
( e0 != op(e3,e0)
| op(e2,e0) = op(e3,e0) ),
inference(resolve,[$cnf( $equal(op(e2,e0),e0) )],[refute_16_196,refute_16_197]) ).
cnf(refute_16_199,plain,
e0 != op(e3,e0),
inference(resolve,[$cnf( $equal(op(e2,e0),op(e3,e0)) )],[refute_16_198,refute_16_188]) ).
cnf(refute_16_200,plain,
( op(e3,e0) != e0
| e0 = op(e3,e0) ),
inference(subst,[],[refute_16_9:[bind(X,$fot(op(e3,e0))),bind(Y,$fot(e0))]]) ).
cnf(refute_16_201,plain,
op(e3,e0) != e0,
inference(resolve,[$cnf( $equal(e0,op(e3,e0)) )],[refute_16_200,refute_16_199]) ).
cnf(refute_16_202,plain,
op(e3,e3) = e0,
inference(resolve,[$cnf( $equal(op(e3,e0),e0) )],[refute_16_187,refute_16_201]) ).
cnf(refute_16_203,plain,
( e0 != op(e4,e3)
| op(e3,e3) != e0
| op(e3,e3) = op(e4,e3) ),
introduced(tautology,[equality,[$cnf( $equal(op(e3,e3),e0) ),[1],$fot(op(e4,e3))]]) ).
cnf(refute_16_204,plain,
( e0 != op(e4,e3)
| op(e3,e3) = op(e4,e3) ),
inference(resolve,[$cnf( $equal(op(e3,e3),e0) )],[refute_16_202,refute_16_203]) ).
cnf(refute_16_205,plain,
( op(e4,e0) = e0
| op(e4,e1) = e0
| op(e4,e2) = e0
| op(e4,e3) = e0
| op(e4,e4) = e0 ),
inference(canonicalize,[],[normalize_16_37]) ).
cnf(refute_16_206,plain,
( op(e4,e1) != e0
| op(e4,e1) != e3
| e3 = e0 ),
introduced(tautology,[equality,[$cnf( $equal(op(e4,e1),e0) ),[0],$fot(e3)]]) ).
cnf(refute_16_207,plain,
( op(e4,e1) != e0
| e3 = e0 ),
inference(resolve,[$cnf( $equal(op(e4,e1),e3) )],[refute_16_20,refute_16_206]) ).
cnf(refute_16_208,plain,
( e3 = e0
| op(e4,e0) = e0
| op(e4,e2) = e0
| op(e4,e3) = e0
| op(e4,e4) = e0 ),
inference(resolve,[$cnf( $equal(op(e4,e1),e0) )],[refute_16_205,refute_16_207]) ).
cnf(refute_16_209,plain,
( op(e4,e4) != e0
| op(e4,e4) != e1
| e1 = e0 ),
introduced(tautology,[equality,[$cnf( $equal(op(e4,e4),e0) ),[0],$fot(e1)]]) ).
cnf(refute_16_210,plain,
( op(e4,e4) != e0
| e1 = e0 ),
inference(resolve,[$cnf( $equal(op(e4,e4),e1) )],[refute_16_11,refute_16_209]) ).
cnf(refute_16_211,plain,
( e1 = e0
| e3 = e0
| op(e4,e0) = e0
| op(e4,e2) = e0
| op(e4,e3) = e0 ),
inference(resolve,[$cnf( $equal(op(e4,e4),e0) )],[refute_16_208,refute_16_210]) ).
cnf(refute_16_212,plain,
e0 != e1,
inference(canonicalize,[],[normalize_16_38]) ).
cnf(refute_16_213,plain,
( e1 != e0
| e0 = e1 ),
inference(subst,[],[refute_16_9:[bind(X,$fot(e1)),bind(Y,$fot(e0))]]) ).
cnf(refute_16_214,plain,
e1 != e0,
inference(resolve,[$cnf( $equal(e0,e1) )],[refute_16_213,refute_16_212]) ).
cnf(refute_16_215,plain,
( e3 = e0
| op(e4,e0) = e0
| op(e4,e2) = e0
| op(e4,e3) = e0 ),
inference(resolve,[$cnf( $equal(e1,e0) )],[refute_16_211,refute_16_214]) ).
cnf(refute_16_216,plain,
( op(e4,e0) = e0
| op(e4,e2) = e0
| op(e4,e3) = e0 ),
inference(resolve,[$cnf( $equal(e3,e0) )],[refute_16_215,refute_16_186]) ).
cnf(refute_16_217,plain,
op(e4,e0) != op(e4,e2),
inference(canonicalize,[],[normalize_16_39]) ).
cnf(refute_16_218,plain,
op(e2,e0) != op(e4,e0),
inference(canonicalize,[],[normalize_16_40]) ).
cnf(refute_16_219,plain,
( op(unit,e0) != e0
| unit != e2
| op(e2,e0) = e0 ),
introduced(tautology,[equality,[$cnf( $equal(op(unit,e0),e0) ),[0,0],$fot(e2)]]) ).
cnf(refute_16_220,plain,
( op(unit,e0) != e0
| op(e2,e0) = e0
| unit = e0 ),
inference(resolve,[$cnf( $equal(unit,e2) )],[refute_16_104,refute_16_219]) ).
cnf(refute_16_221,plain,
( op(e2,e0) = e0
| unit = e0 ),
inference(resolve,[$cnf( $equal(op(unit,e0),e0) )],[refute_16_189,refute_16_220]) ).
cnf(refute_16_222,plain,
( e0 != op(e4,e0)
| op(e2,e0) != e0
| op(e2,e0) = op(e4,e0) ),
introduced(tautology,[equality,[$cnf( $equal(op(e2,e0),e0) ),[1],$fot(op(e4,e0))]]) ).
cnf(refute_16_223,plain,
( e0 != op(e4,e0)
| op(e2,e0) = op(e4,e0)
| unit = e0 ),
inference(resolve,[$cnf( $equal(op(e2,e0),e0) )],[refute_16_221,refute_16_222]) ).
cnf(refute_16_224,plain,
( e0 != op(e4,e0)
| unit = e0 ),
inference(resolve,[$cnf( $equal(op(e2,e0),op(e4,e0)) )],[refute_16_223,refute_16_218]) ).
cnf(refute_16_225,plain,
( op(e4,e0) = e0
| op(e4,e0) = e1
| op(e4,e0) = e2
| op(e4,e0) = e3
| op(e4,e0) = e4 ),
inference(canonicalize,[],[normalize_16_41]) ).
cnf(refute_16_226,plain,
op(e4,e0) != op(e4,e4),
inference(canonicalize,[],[normalize_16_42]) ).
cnf(refute_16_227,plain,
( op(e4,e0) != e1
| op(e4,e4) != e1
| op(e4,e0) = op(e4,e4) ),
introduced(tautology,[equality,[$cnf( ~ $equal(op(e4,e0),op(e4,e4)) ),[1],$fot(e1)]]) ).
cnf(refute_16_228,plain,
( op(e4,e0) != e1
| op(e4,e0) = op(e4,e4) ),
inference(resolve,[$cnf( $equal(op(e4,e4),e1) )],[refute_16_11,refute_16_227]) ).
cnf(refute_16_229,plain,
op(e4,e0) != e1,
inference(resolve,[$cnf( $equal(op(e4,e0),op(e4,e4)) )],[refute_16_228,refute_16_226]) ).
cnf(refute_16_230,plain,
( op(e4,e0) = e0
| op(e4,e0) = e2
| op(e4,e0) = e3
| op(e4,e0) = e4 ),
inference(resolve,[$cnf( $equal(op(e4,e0),e1) )],[refute_16_225,refute_16_229]) ).
cnf(refute_16_231,plain,
op(e4,e0) != op(e4,e1),
inference(canonicalize,[],[normalize_16_43]) ).
cnf(refute_16_232,plain,
( op(e4,e0) != e3
| op(e4,e1) != e3
| op(e4,e0) = op(e4,e1) ),
introduced(tautology,[equality,[$cnf( ~ $equal(op(e4,e0),op(e4,e1)) ),[1],$fot(e3)]]) ).
cnf(refute_16_233,plain,
( op(e4,e0) != e3
| op(e4,e0) = op(e4,e1) ),
inference(resolve,[$cnf( $equal(op(e4,e1),e3) )],[refute_16_20,refute_16_232]) ).
cnf(refute_16_234,plain,
op(e4,e0) != e3,
inference(resolve,[$cnf( $equal(op(e4,e0),op(e4,e1)) )],[refute_16_233,refute_16_231]) ).
cnf(refute_16_235,plain,
( op(e4,e0) = e0
| op(e4,e0) = e2
| op(e4,e0) = e4 ),
inference(resolve,[$cnf( $equal(op(e4,e0),e3) )],[refute_16_230,refute_16_234]) ).
cnf(refute_16_236,plain,
( e0 != e0
| op(e4,e0) != e0
| e0 = op(e4,e0) ),
introduced(tautology,[equality,[$cnf( ~ $equal(e0,op(e4,e0)) ),[1],$fot(e0)]]) ).
cnf(refute_16_237,plain,
( e0 != e0
| e0 = op(e4,e0)
| op(e4,e0) = e2
| op(e4,e0) = e4 ),
inference(resolve,[$cnf( $equal(op(e4,e0),e0) )],[refute_16_235,refute_16_236]) ).
cnf(refute_16_238,plain,
( e0 != e0
| op(e4,e0) = e2
| op(e4,e0) = e4
| unit = e0 ),
inference(resolve,[$cnf( $equal(e0,op(e4,e0)) )],[refute_16_237,refute_16_224]) ).
cnf(refute_16_239,plain,
e0 = e0,
introduced(tautology,[refl,[$fot(e0)]]) ).
cnf(refute_16_240,plain,
( op(e4,e0) = e2
| op(e4,e0) = e4
| unit = e0 ),
inference(resolve,[$cnf( $equal(e0,e0) )],[refute_16_239,refute_16_238]) ).
cnf(refute_16_241,plain,
( e4 != op(e4,e2)
| op(e4,e0) != e4
| op(e4,e0) = op(e4,e2) ),
introduced(tautology,[equality,[$cnf( $equal(op(e4,e0),e4) ),[1],$fot(op(e4,e2))]]) ).
cnf(refute_16_242,plain,
( e4 != op(e4,e2)
| op(e4,e0) = e2
| op(e4,e0) = op(e4,e2)
| unit = e0 ),
inference(resolve,[$cnf( $equal(op(e4,e0),e4) )],[refute_16_240,refute_16_241]) ).
cnf(refute_16_243,plain,
( e4 != op(e4,e2)
| op(e4,e0) = e2
| unit = e0 ),
inference(resolve,[$cnf( $equal(op(e4,e0),op(e4,e2)) )],[refute_16_242,refute_16_217]) ).
cnf(refute_16_244,plain,
( op(e4,unit) != e4
| unit != e2
| op(e4,e2) = e4 ),
introduced(tautology,[equality,[$cnf( $equal(op(e4,unit),e4) ),[0,1],$fot(e2)]]) ).
cnf(refute_16_245,plain,
( op(e4,unit) != e4
| op(e4,e2) = e4
| unit = e0 ),
inference(resolve,[$cnf( $equal(unit,e2) )],[refute_16_104,refute_16_244]) ).
cnf(refute_16_246,plain,
( op(e4,e2) = e4
| unit = e0 ),
inference(resolve,[$cnf( $equal(op(e4,unit),e4) )],[refute_16_79,refute_16_245]) ).
cnf(refute_16_247,plain,
( e4 != e4
| op(e4,e2) != e4
| e4 = op(e4,e2) ),
introduced(tautology,[equality,[$cnf( ~ $equal(e4,op(e4,e2)) ),[1],$fot(e4)]]) ).
cnf(refute_16_248,plain,
( e4 != e4
| e4 = op(e4,e2)
| unit = e0 ),
inference(resolve,[$cnf( $equal(op(e4,e2),e4) )],[refute_16_246,refute_16_247]) ).
cnf(refute_16_249,plain,
( e4 != e4
| op(e4,e0) = e2
| unit = e0 ),
inference(resolve,[$cnf( $equal(e4,op(e4,e2)) )],[refute_16_248,refute_16_243]) ).
cnf(refute_16_250,plain,
e4 = e4,
introduced(tautology,[refl,[$fot(e4)]]) ).
cnf(refute_16_251,plain,
( op(e4,e0) = e2
| unit = e0 ),
inference(resolve,[$cnf( $equal(e4,e4) )],[refute_16_250,refute_16_249]) ).
cnf(refute_16_252,plain,
( unit != e0
| unit != e2
| e2 = e0 ),
introduced(tautology,[equality,[$cnf( $equal(unit,e0) ),[0],$fot(e2)]]) ).
cnf(refute_16_253,plain,
( unit != e0
| e2 = e0 ),
inference(resolve,[$cnf( $equal(unit,e2) )],[refute_16_174,refute_16_252]) ).
cnf(refute_16_254,plain,
( e2 = e0
| op(e4,e0) = e2 ),
inference(resolve,[$cnf( $equal(unit,e0) )],[refute_16_251,refute_16_253]) ).
cnf(refute_16_255,plain,
op(e4,e0) = e2,
inference(resolve,[$cnf( $equal(e2,e0) )],[refute_16_254,refute_16_71]) ).
cnf(refute_16_256,plain,
( op(e4,e0) != e0
| op(e4,e0) != e2
| e2 = e0 ),
introduced(tautology,[equality,[$cnf( $equal(op(e4,e0),e0) ),[0],$fot(e2)]]) ).
cnf(refute_16_257,plain,
( op(e4,e0) != e0
| e2 = e0 ),
inference(resolve,[$cnf( $equal(op(e4,e0),e2) )],[refute_16_255,refute_16_256]) ).
cnf(refute_16_258,plain,
( e2 = e0
| op(e4,e2) = e0
| op(e4,e3) = e0 ),
inference(resolve,[$cnf( $equal(op(e4,e0),e0) )],[refute_16_216,refute_16_257]) ).
cnf(refute_16_259,plain,
op(e4,unit) = op(e4,unit),
introduced(tautology,[refl,[$fot(op(e4,unit))]]) ).
cnf(refute_16_260,plain,
( op(e4,unit) != op(e4,unit)
| unit != e2
| op(e4,unit) = op(e4,e2) ),
introduced(tautology,[equality,[$cnf( $equal(op(e4,unit),op(e4,unit)) ),[1,1],$fot(e2)]]) ).
cnf(refute_16_261,plain,
( unit != e2
| op(e4,unit) = op(e4,e2) ),
inference(resolve,[$cnf( $equal(op(e4,unit),op(e4,unit)) )],[refute_16_259,refute_16_260]) ).
cnf(refute_16_262,plain,
op(e4,unit) = op(e4,e2),
inference(resolve,[$cnf( $equal(unit,e2) )],[refute_16_174,refute_16_261]) ).
cnf(refute_16_263,plain,
( op(e4,unit) != e4
| op(e4,unit) != op(e4,e2)
| op(e4,e2) = e4 ),
introduced(tautology,[equality,[$cnf( $equal(op(e4,unit),e4) ),[0],$fot(op(e4,e2))]]) ).
cnf(refute_16_264,plain,
( op(e4,unit) != e4
| op(e4,e2) = e4 ),
inference(resolve,[$cnf( $equal(op(e4,unit),op(e4,e2)) )],[refute_16_262,refute_16_263]) ).
cnf(refute_16_265,plain,
op(e4,e2) = e4,
inference(resolve,[$cnf( $equal(op(e4,unit),e4) )],[refute_16_79,refute_16_264]) ).
cnf(refute_16_266,plain,
( op(e4,e2) != e0
| op(e4,e2) != e4
| e4 = e0 ),
introduced(tautology,[equality,[$cnf( $equal(op(e4,e2),e0) ),[0],$fot(e4)]]) ).
cnf(refute_16_267,plain,
( op(e4,e2) != e0
| e4 = e0 ),
inference(resolve,[$cnf( $equal(op(e4,e2),e4) )],[refute_16_265,refute_16_266]) ).
cnf(refute_16_268,plain,
( e2 = e0
| e4 = e0
| op(e4,e3) = e0 ),
inference(resolve,[$cnf( $equal(op(e4,e2),e0) )],[refute_16_258,refute_16_267]) ).
cnf(refute_16_269,plain,
( e4 = e0
| op(e4,e3) = e0 ),
inference(resolve,[$cnf( $equal(e2,e0) )],[refute_16_268,refute_16_71]) ).
cnf(refute_16_270,plain,
op(e4,e3) = e0,
inference(resolve,[$cnf( $equal(e4,e0) )],[refute_16_269,refute_16_75]) ).
cnf(refute_16_271,plain,
( e0 != e0
| op(e4,e3) != e0
| e0 = op(e4,e3) ),
introduced(tautology,[equality,[$cnf( ~ $equal(e0,op(e4,e3)) ),[1],$fot(e0)]]) ).
cnf(refute_16_272,plain,
( e0 != e0
| e0 = op(e4,e3) ),
inference(resolve,[$cnf( $equal(op(e4,e3),e0) )],[refute_16_270,refute_16_271]) ).
cnf(refute_16_273,plain,
( e0 != e0
| op(e3,e3) = op(e4,e3) ),
inference(resolve,[$cnf( $equal(e0,op(e4,e3)) )],[refute_16_272,refute_16_204]) ).
cnf(refute_16_274,plain,
e0 != e0,
inference(resolve,[$cnf( $equal(op(e3,e3),op(e4,e3)) )],[refute_16_273,refute_16_0]) ).
cnf(refute_16_275,plain,
$false,
inference(resolve,[$cnf( $equal(e0,e0) )],[refute_16_239,refute_16_274]) ).
fof(negate_17_0,plain,
~ ( ( ( ( op(e0,e0) = e0
& op(e0,e0) = e0
& op(e0,e0) != e0 )
| ( op(e0,e0) = e1
& op(e1,e1) = e0
& op(e0,e1) != e0 )
| ( op(e0,e0) = e2
& op(e2,e2) = e0
& op(e0,e2) != e0 )
| ( op(e0,e0) = e3
& op(e3,e3) = e0
& op(e0,e3) != e0 )
| ( op(e0,e0) = e4
& op(e4,e4) = e0
& op(e0,e4) != e0 )
| ( op(e1,e1) = e0
& op(e0,e0) = e1
& op(e1,e0) != e1 )
| ( op(e1,e1) = e1
& op(e1,e1) = e1
& op(e1,e1) != e1 )
| ( op(e1,e1) = e2
& op(e2,e2) = e1
& op(e1,e2) != e1 )
| ( op(e1,e1) = e3
& op(e3,e3) = e1
& op(e1,e3) != e1 )
| ( op(e1,e1) = e4
& op(e4,e4) = e1
& op(e1,e4) != e1 )
| ( op(e2,e2) = e0
& op(e0,e0) = e2
& op(e2,e0) != e2 )
| ( op(e2,e2) = e1
& op(e1,e1) = e2
& op(e2,e1) != e2 )
| ( op(e2,e2) = e2
& op(e2,e2) = e2
& op(e2,e2) != e2 )
| ( op(e2,e2) = e3
& op(e3,e3) = e2
& op(e2,e3) != e2 )
| ( op(e2,e2) = e4
& op(e4,e4) = e2
& op(e2,e4) != e2 )
| ( op(e3,e3) = e0
& op(e0,e0) = e3
& op(e3,e0) != e3 )
| ( op(e3,e3) = e1
& op(e1,e1) = e3
& op(e3,e1) != e3 )
| ( op(e3,e3) = e2
& op(e2,e2) = e3
& op(e3,e2) != e3 )
| ( op(e3,e3) = e3
& op(e3,e3) = e3
& op(e3,e3) != e3 )
| ( op(e3,e3) = e4
& op(e4,e4) = e3
& op(e3,e4) != e3 )
| ( op(e4,e4) = e0
& op(e0,e0) = e4
& op(e4,e0) != e4 )
| ( op(e4,e4) = e1
& op(e1,e1) = e4
& op(e4,e1) != e4 )
| ( op(e4,e4) = e2
& op(e2,e2) = e4
& op(e4,e2) != e4 )
| ( op(e4,e4) = e3
& op(e3,e3) = e4
& op(e4,e3) != e4 )
| ( op(e4,e4) = e4
& op(e4,e4) = e4
& op(e4,e4) != e4 ) )
& ~ ( op(e0,e0) != op(e0,e0)
& op(op(e0,e0),e0) = e0
& op(op(e0,e0),e0) != e0 )
& ~ ( op(e1,e0) != op(e0,e1)
& op(op(e0,e1),e1) = e0
& op(op(e0,e1),e0) != e1 )
& ~ ( op(e2,e0) != op(e0,e2)
& op(op(e0,e2),e2) = e0
& op(op(e0,e2),e0) != e2 )
& ~ ( op(e3,e0) != op(e0,e3)
& op(op(e0,e3),e3) = e0
& op(op(e0,e3),e0) != e3 )
& ~ ( op(e4,e0) != op(e0,e4)
& op(op(e0,e4),e4) = e0
& op(op(e0,e4),e0) != e4 )
& ~ ( op(e0,e1) != op(e1,e0)
& op(op(e1,e0),e0) = e1
& op(op(e1,e0),e1) != e0 )
& ~ ( op(e1,e1) != op(e1,e1)
& op(op(e1,e1),e1) = e1
& op(op(e1,e1),e1) != e1 )
& ~ ( op(e2,e1) != op(e1,e2)
& op(op(e1,e2),e2) = e1
& op(op(e1,e2),e1) != e2 )
& ~ ( op(e3,e1) != op(e1,e3)
& op(op(e1,e3),e3) = e1
& op(op(e1,e3),e1) != e3 )
& ~ ( op(e4,e1) != op(e1,e4)
& op(op(e1,e4),e4) = e1
& op(op(e1,e4),e1) != e4 )
& ~ ( op(e0,e2) != op(e2,e0)
& op(op(e2,e0),e0) = e2
& op(op(e2,e0),e2) != e0 )
& ~ ( op(e1,e2) != op(e2,e1)
& op(op(e2,e1),e1) = e2
& op(op(e2,e1),e2) != e1 )
& ~ ( op(e2,e2) != op(e2,e2)
& op(op(e2,e2),e2) = e2
& op(op(e2,e2),e2) != e2 )
& ~ ( op(e3,e2) != op(e2,e3)
& op(op(e2,e3),e3) = e2
& op(op(e2,e3),e2) != e3 )
& ~ ( op(e4,e2) != op(e2,e4)
& op(op(e2,e4),e4) = e2
& op(op(e2,e4),e2) != e4 )
& ~ ( op(e0,e3) != op(e3,e0)
& op(op(e3,e0),e0) = e3
& op(op(e3,e0),e3) != e0 )
& ~ ( op(e1,e3) != op(e3,e1)
& op(op(e3,e1),e1) = e3
& op(op(e3,e1),e3) != e1 )
& op(e2,e3) != op(e3,e2)
& op(op(e3,e2),e2) = e3 )
=> op(op(e3,e2),e3) = e2 ),
inference(negate,[],[subgoal_17]) ).
fof(normalize_17_0,plain,
( op(e2,e3) != op(e3,e2)
& op(op(e3,e2),e3) != e2
& op(op(e3,e2),e2) = e3
& ( op(op(e0,e1),e1) != e0
| op(e1,e0) = op(e0,e1)
| op(op(e0,e1),e0) = e1 )
& ( op(op(e0,e2),e2) != e0
| op(e2,e0) = op(e0,e2)
| op(op(e0,e2),e0) = e2 )
& ( op(op(e0,e3),e3) != e0
| op(e3,e0) = op(e0,e3)
| op(op(e0,e3),e0) = e3 )
& ( op(op(e0,e4),e4) != e0
| op(e4,e0) = op(e0,e4)
| op(op(e0,e4),e0) = e4 )
& ( op(op(e1,e0),e0) != e1
| op(e0,e1) = op(e1,e0)
| op(op(e1,e0),e1) = e0 )
& ( op(op(e1,e2),e2) != e1
| op(e2,e1) = op(e1,e2)
| op(op(e1,e2),e1) = e2 )
& ( op(op(e1,e3),e3) != e1
| op(e3,e1) = op(e1,e3)
| op(op(e1,e3),e1) = e3 )
& ( op(op(e1,e4),e4) != e1
| op(e4,e1) = op(e1,e4)
| op(op(e1,e4),e1) = e4 )
& ( op(op(e2,e0),e0) != e2
| op(e0,e2) = op(e2,e0)
| op(op(e2,e0),e2) = e0 )
& ( op(op(e2,e1),e1) != e2
| op(e1,e2) = op(e2,e1)
| op(op(e2,e1),e2) = e1 )
& ( op(op(e2,e3),e3) != e2
| op(e3,e2) = op(e2,e3)
| op(op(e2,e3),e2) = e3 )
& ( op(op(e2,e4),e4) != e2
| op(e4,e2) = op(e2,e4)
| op(op(e2,e4),e2) = e4 )
& ( op(op(e3,e0),e0) != e3
| op(e0,e3) = op(e3,e0)
| op(op(e3,e0),e3) = e0 )
& ( op(op(e3,e1),e1) != e3
| op(e1,e3) = op(e3,e1)
| op(op(e3,e1),e3) = e1 )
& ( ( op(e0,e1) != e0
& op(e0,e0) = e1
& op(e1,e1) = e0 )
| ( op(e0,e2) != e0
& op(e0,e0) = e2
& op(e2,e2) = e0 )
| ( op(e0,e3) != e0
& op(e0,e0) = e3
& op(e3,e3) = e0 )
| ( op(e0,e4) != e0
& op(e0,e0) = e4
& op(e4,e4) = e0 )
| ( op(e1,e0) != e1
& op(e0,e0) = e1
& op(e1,e1) = e0 )
| ( op(e1,e2) != e1
& op(e1,e1) = e2
& op(e2,e2) = e1 )
| ( op(e1,e3) != e1
& op(e1,e1) = e3
& op(e3,e3) = e1 )
| ( op(e1,e4) != e1
& op(e1,e1) = e4
& op(e4,e4) = e1 )
| ( op(e2,e0) != e2
& op(e0,e0) = e2
& op(e2,e2) = e0 )
| ( op(e2,e1) != e2
& op(e1,e1) = e2
& op(e2,e2) = e1 )
| ( op(e2,e3) != e2
& op(e2,e2) = e3
& op(e3,e3) = e2 )
| ( op(e2,e4) != e2
& op(e2,e2) = e4
& op(e4,e4) = e2 )
| ( op(e3,e0) != e3
& op(e0,e0) = e3
& op(e3,e3) = e0 )
| ( op(e3,e1) != e3
& op(e1,e1) = e3
& op(e3,e3) = e1 )
| ( op(e3,e2) != e3
& op(e2,e2) = e3
& op(e3,e3) = e2 )
| ( op(e3,e4) != e3
& op(e3,e3) = e4
& op(e4,e4) = e3 )
| ( op(e4,e0) != e4
& op(e0,e0) = e4
& op(e4,e4) = e0 )
| ( op(e4,e1) != e4
& op(e1,e1) = e4
& op(e4,e4) = e1 )
| ( op(e4,e2) != e4
& op(e2,e2) = e4
& op(e4,e4) = e2 )
| ( op(e4,e3) != e4
& op(e3,e3) = e4
& op(e4,e4) = e3 ) ) ),
inference(canonicalize,[],[negate_17_0]) ).
fof(normalize_17_1,plain,
( op(op(e1,e2),e2) != e1
| op(e2,e1) = op(e1,e2)
| op(op(e1,e2),e1) = e2 ),
inference(conjunct,[],[normalize_17_0]) ).
fof(normalize_17_2,plain,
op(op(e3,e2),e2) = e3,
inference(conjunct,[],[normalize_17_0]) ).
fof(normalize_17_3,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_17_4,plain,
( op(e3,e2) = e0
| op(e3,e2) = e1
| op(e3,e2) = e2
| op(e3,e2) = e3
| op(e3,e2) = e4 ),
inference(conjunct,[],[normalize_17_3]) ).
fof(normalize_17_5,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_17_6,plain,
op(e3,e2) != op(e3,e4),
inference(conjunct,[],[normalize_17_5]) ).
fof(normalize_17_7,plain,
( e0 = op(op(e4,e4),e4)
& e1 = op(e4,e4)
& e2 = op(op(e4,op(e4,e4)),e4)
& e3 = op(e4,op(e4,e4)) ),
inference(canonicalize,[],[ax6]) ).
fof(normalize_17_8,plain,
e2 = op(op(e4,op(e4,e4)),e4),
inference(conjunct,[],[normalize_17_7]) ).
fof(normalize_17_9,plain,
e1 = op(e4,e4),
inference(conjunct,[],[normalize_17_7]) ).
fof(normalize_17_10,plain,
e3 = op(e4,op(e4,e4)),
inference(conjunct,[],[normalize_17_7]) ).
fof(normalize_17_11,plain,
op(e4,e1) != op(e4,e2),
inference(conjunct,[],[normalize_17_5]) ).
fof(normalize_17_12,plain,
( op(e0,unit) = e0
& op(e1,unit) = e1
& op(e2,unit) = e2
& op(e3,unit) = e3
& op(e4,unit) = e4
& op(unit,e0) = e0
& op(unit,e1) = e1
& op(unit,e2) = e2
& op(unit,e3) = e3
& op(unit,e4) = e4
& ( unit = e0
| unit = e1
| unit = e2
| unit = e3
| unit = e4 ) ),
inference(canonicalize,[],[ax2]) ).
fof(normalize_17_13,plain,
op(unit,e2) = e2,
inference(conjunct,[],[normalize_17_12]) ).
fof(normalize_17_14,plain,
op(e2,e3) != op(e3,e2),
inference(conjunct,[],[normalize_17_0]) ).
fof(normalize_17_15,plain,
op(e3,unit) = e3,
inference(conjunct,[],[normalize_17_12]) ).
fof(normalize_17_16,plain,
op(unit,e4) = e4,
inference(conjunct,[],[normalize_17_12]) ).
fof(normalize_17_17,plain,
( unit = e0
| unit = e1
| unit = e2
| unit = e3
| unit = e4 ),
inference(conjunct,[],[normalize_17_12]) ).
fof(normalize_17_18,plain,
e0 = op(op(e4,e4),e4),
inference(conjunct,[],[normalize_17_7]) ).
fof(normalize_17_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_17_20,plain,
e0 != e4,
inference(conjunct,[],[normalize_17_19]) ).
fof(normalize_17_21,plain,
e2 != e4,
inference(conjunct,[],[normalize_17_19]) ).
fof(normalize_17_22,plain,
e1 != e4,
inference(conjunct,[],[normalize_17_19]) ).
fof(normalize_17_23,plain,
op(unit,e3) = e3,
inference(conjunct,[],[normalize_17_12]) ).
fof(normalize_17_24,plain,
e2 != e3,
inference(conjunct,[],[normalize_17_19]) ).
fof(normalize_17_25,plain,
op(e3,e0) != op(e3,e2),
inference(conjunct,[],[normalize_17_5]) ).
fof(normalize_17_26,plain,
op(e2,e1) != op(e4,e1),
inference(conjunct,[],[normalize_17_5]) ).
fof(normalize_17_27,plain,
op(e3,e1) != op(e3,e4),
inference(conjunct,[],[normalize_17_5]) ).
cnf(refute_17_0,plain,
( op(op(e1,e2),e2) != e1
| op(e2,e1) = op(e1,e2)
| op(op(e1,e2),e1) = e2 ),
inference(canonicalize,[],[normalize_17_1]) ).
cnf(refute_17_1,plain,
op(op(e3,e2),e2) = e3,
inference(canonicalize,[],[normalize_17_2]) ).
cnf(refute_17_2,plain,
( op(e3,e2) = e0
| op(e3,e2) = e1
| op(e3,e2) = e2
| op(e3,e2) = e3
| op(e3,e2) = e4 ),
inference(canonicalize,[],[normalize_17_4]) ).
cnf(refute_17_3,plain,
op(e3,e2) != op(e3,e4),
inference(canonicalize,[],[normalize_17_6]) ).
cnf(refute_17_4,plain,
e2 = op(op(e4,op(e4,e4)),e4),
inference(canonicalize,[],[normalize_17_8]) ).
cnf(refute_17_5,plain,
e1 = op(e4,e4),
inference(canonicalize,[],[normalize_17_9]) ).
cnf(refute_17_6,plain,
X = X,
introduced(tautology,[refl,[$fot(X)]]) ).
cnf(refute_17_7,plain,
( X != X
| X != Y
| Y = X ),
introduced(tautology,[equality,[$cnf( $equal(X,X) ),[0],$fot(Y)]]) ).
cnf(refute_17_8,plain,
( X != Y
| Y = X ),
inference(resolve,[$cnf( $equal(X,X) )],[refute_17_6,refute_17_7]) ).
cnf(refute_17_9,plain,
( e1 != op(e4,e4)
| op(e4,e4) = e1 ),
inference(subst,[],[refute_17_8:[bind(X,$fot(e1)),bind(Y,$fot(op(e4,e4)))]]) ).
cnf(refute_17_10,plain,
op(e4,e4) = e1,
inference(resolve,[$cnf( $equal(e1,op(e4,e4)) )],[refute_17_5,refute_17_9]) ).
cnf(refute_17_11,plain,
op(e4,op(e4,e4)) = op(e4,op(e4,e4)),
introduced(tautology,[refl,[$fot(op(e4,op(e4,e4)))]]) ).
cnf(refute_17_12,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_17_13,plain,
( op(e4,e4) != e1
| op(e4,op(e4,e4)) = op(e4,e1) ),
inference(resolve,[$cnf( $equal(op(e4,op(e4,e4)),op(e4,op(e4,e4))) )],[refute_17_11,refute_17_12]) ).
cnf(refute_17_14,plain,
op(e4,op(e4,e4)) = op(e4,e1),
inference(resolve,[$cnf( $equal(op(e4,e4),e1) )],[refute_17_10,refute_17_13]) ).
cnf(refute_17_15,plain,
op(op(e4,op(e4,e4)),e4) = op(op(e4,op(e4,e4)),e4),
introduced(tautology,[refl,[$fot(op(op(e4,op(e4,e4)),e4))]]) ).
cnf(refute_17_16,plain,
( op(e4,op(e4,e4)) != op(e4,e1)
| op(op(e4,op(e4,e4)),e4) != op(op(e4,op(e4,e4)),e4)
| op(op(e4,op(e4,e4)),e4) = op(op(e4,e1),e4) ),
introduced(tautology,[equality,[$cnf( $equal(op(op(e4,op(e4,e4)),e4),op(op(e4,op(e4,e4)),e4)) ),[1,0],$fot(op(e4,e1))]]) ).
cnf(refute_17_17,plain,
( op(e4,op(e4,e4)) != op(e4,e1)
| op(op(e4,op(e4,e4)),e4) = op(op(e4,e1),e4) ),
inference(resolve,[$cnf( $equal(op(op(e4,op(e4,e4)),e4),op(op(e4,op(e4,e4)),e4)) )],[refute_17_15,refute_17_16]) ).
cnf(refute_17_18,plain,
op(op(e4,op(e4,e4)),e4) = op(op(e4,e1),e4),
inference(resolve,[$cnf( $equal(op(e4,op(e4,e4)),op(e4,e1)) )],[refute_17_14,refute_17_17]) ).
cnf(refute_17_19,plain,
( e2 != op(op(e4,op(e4,e4)),e4)
| op(op(e4,op(e4,e4)),e4) != op(op(e4,e1),e4)
| e2 = op(op(e4,e1),e4) ),
introduced(tautology,[equality,[$cnf( ~ $equal(e2,op(op(e4,e1),e4)) ),[0],$fot(op(op(e4,op(e4,e4)),e4))]]) ).
cnf(refute_17_20,plain,
( e2 != op(op(e4,op(e4,e4)),e4)
| e2 = op(op(e4,e1),e4) ),
inference(resolve,[$cnf( $equal(op(op(e4,op(e4,e4)),e4),op(op(e4,e1),e4)) )],[refute_17_18,refute_17_19]) ).
cnf(refute_17_21,plain,
e2 = op(op(e4,e1),e4),
inference(resolve,[$cnf( $equal(e2,op(op(e4,op(e4,e4)),e4)) )],[refute_17_4,refute_17_20]) ).
cnf(refute_17_22,plain,
e3 = op(e4,op(e4,e4)),
inference(canonicalize,[],[normalize_17_10]) ).
cnf(refute_17_23,plain,
( e3 != op(e4,op(e4,e4))
| op(e4,op(e4,e4)) != op(e4,e1)
| e3 = op(e4,e1) ),
introduced(tautology,[equality,[$cnf( ~ $equal(e3,op(e4,e1)) ),[0],$fot(op(e4,op(e4,e4)))]]) ).
cnf(refute_17_24,plain,
( e3 != op(e4,op(e4,e4))
| e3 = op(e4,e1) ),
inference(resolve,[$cnf( $equal(op(e4,op(e4,e4)),op(e4,e1)) )],[refute_17_14,refute_17_23]) ).
cnf(refute_17_25,plain,
e3 = op(e4,e1),
inference(resolve,[$cnf( $equal(e3,op(e4,op(e4,e4))) )],[refute_17_22,refute_17_24]) ).
cnf(refute_17_26,plain,
( e3 != op(e4,e1)
| op(e4,e1) = e3 ),
inference(subst,[],[refute_17_8:[bind(X,$fot(e3)),bind(Y,$fot(op(e4,e1)))]]) ).
cnf(refute_17_27,plain,
op(e4,e1) = e3,
inference(resolve,[$cnf( $equal(e3,op(e4,e1)) )],[refute_17_25,refute_17_26]) ).
cnf(refute_17_28,plain,
op(op(e4,e1),e4) = op(op(e4,e1),e4),
introduced(tautology,[refl,[$fot(op(op(e4,e1),e4))]]) ).
cnf(refute_17_29,plain,
( op(e4,e1) != e3
| op(op(e4,e1),e4) != op(op(e4,e1),e4)
| op(op(e4,e1),e4) = op(e3,e4) ),
introduced(tautology,[equality,[$cnf( $equal(op(op(e4,e1),e4),op(op(e4,e1),e4)) ),[1,0],$fot(e3)]]) ).
cnf(refute_17_30,plain,
( op(e4,e1) != e3
| op(op(e4,e1),e4) = op(e3,e4) ),
inference(resolve,[$cnf( $equal(op(op(e4,e1),e4),op(op(e4,e1),e4)) )],[refute_17_28,refute_17_29]) ).
cnf(refute_17_31,plain,
op(op(e4,e1),e4) = op(e3,e4),
inference(resolve,[$cnf( $equal(op(e4,e1),e3) )],[refute_17_27,refute_17_30]) ).
cnf(refute_17_32,plain,
( e2 != op(op(e4,e1),e4)
| op(op(e4,e1),e4) != op(e3,e4)
| e2 = op(e3,e4) ),
introduced(tautology,[equality,[$cnf( ~ $equal(e2,op(e3,e4)) ),[0],$fot(op(op(e4,e1),e4))]]) ).
cnf(refute_17_33,plain,
( e2 != op(op(e4,e1),e4)
| e2 = op(e3,e4) ),
inference(resolve,[$cnf( $equal(op(op(e4,e1),e4),op(e3,e4)) )],[refute_17_31,refute_17_32]) ).
cnf(refute_17_34,plain,
e2 = op(e3,e4),
inference(resolve,[$cnf( $equal(e2,op(op(e4,e1),e4)) )],[refute_17_21,refute_17_33]) ).
cnf(refute_17_35,plain,
( e2 != op(e3,e4)
| op(e3,e4) = e2 ),
inference(subst,[],[refute_17_8:[bind(X,$fot(e2)),bind(Y,$fot(op(e3,e4)))]]) ).
cnf(refute_17_36,plain,
op(e3,e4) = e2,
inference(resolve,[$cnf( $equal(e2,op(e3,e4)) )],[refute_17_34,refute_17_35]) ).
cnf(refute_17_37,plain,
( op(e3,e2) != e2
| op(e3,e4) != e2
| op(e3,e2) = op(e3,e4) ),
introduced(tautology,[equality,[$cnf( ~ $equal(op(e3,e2),op(e3,e4)) ),[1],$fot(e2)]]) ).
cnf(refute_17_38,plain,
( op(e3,e2) != e2
| op(e3,e2) = op(e3,e4) ),
inference(resolve,[$cnf( $equal(op(e3,e4),e2) )],[refute_17_36,refute_17_37]) ).
cnf(refute_17_39,plain,
op(e3,e2) != e2,
inference(resolve,[$cnf( $equal(op(e3,e2),op(e3,e4)) )],[refute_17_38,refute_17_3]) ).
cnf(refute_17_40,plain,
( op(e3,e2) = e0
| op(e3,e2) = e1
| op(e3,e2) = e3
| op(e3,e2) = e4 ),
inference(resolve,[$cnf( $equal(op(e3,e2),e2) )],[refute_17_2,refute_17_39]) ).
cnf(refute_17_41,plain,
( op(e3,e2) != e4
| op(op(e3,e2),e2) != e3
| op(e4,e2) = e3 ),
introduced(tautology,[equality,[$cnf( $equal(op(op(e3,e2),e2),e3) ),[0,0],$fot(e4)]]) ).
cnf(refute_17_42,plain,
( op(op(e3,e2),e2) != e3
| op(e3,e2) = e0
| op(e3,e2) = e1
| op(e3,e2) = e3
| op(e4,e2) = e3 ),
inference(resolve,[$cnf( $equal(op(e3,e2),e4) )],[refute_17_40,refute_17_41]) ).
cnf(refute_17_43,plain,
( op(e3,e2) = e0
| op(e3,e2) = e1
| op(e3,e2) = e3
| op(e4,e2) = e3 ),
inference(resolve,[$cnf( $equal(op(op(e3,e2),e2),e3) )],[refute_17_1,refute_17_42]) ).
cnf(refute_17_44,plain,
op(e4,e1) != op(e4,e2),
inference(canonicalize,[],[normalize_17_11]) ).
cnf(refute_17_45,plain,
( e3 != op(e4,e2)
| op(e4,e1) != e3
| op(e4,e1) = op(e4,e2) ),
introduced(tautology,[equality,[$cnf( $equal(op(e4,e1),e3) ),[1],$fot(op(e4,e2))]]) ).
cnf(refute_17_46,plain,
( e3 != op(e4,e2)
| op(e4,e1) = op(e4,e2) ),
inference(resolve,[$cnf( $equal(op(e4,e1),e3) )],[refute_17_27,refute_17_45]) ).
cnf(refute_17_47,plain,
e3 != op(e4,e2),
inference(resolve,[$cnf( $equal(op(e4,e1),op(e4,e2)) )],[refute_17_46,refute_17_44]) ).
cnf(refute_17_48,plain,
( op(e4,e2) != e3
| e3 = op(e4,e2) ),
inference(subst,[],[refute_17_8:[bind(X,$fot(op(e4,e2))),bind(Y,$fot(e3))]]) ).
cnf(refute_17_49,plain,
op(e4,e2) != e3,
inference(resolve,[$cnf( $equal(e3,op(e4,e2)) )],[refute_17_48,refute_17_47]) ).
cnf(refute_17_50,plain,
( op(e3,e2) = e0
| op(e3,e2) = e1
| op(e3,e2) = e3 ),
inference(resolve,[$cnf( $equal(op(e4,e2),e3) )],[refute_17_43,refute_17_49]) ).
cnf(refute_17_51,plain,
( op(e3,e2) != e0
| op(op(e3,e2),e2) != e3
| op(e0,e2) = e3 ),
introduced(tautology,[equality,[$cnf( $equal(op(op(e3,e2),e2),e3) ),[0,0],$fot(e0)]]) ).
cnf(refute_17_52,plain,
( op(op(e3,e2),e2) != e3
| op(e0,e2) = e3
| op(e3,e2) = e1
| op(e3,e2) = e3 ),
inference(resolve,[$cnf( $equal(op(e3,e2),e0) )],[refute_17_50,refute_17_51]) ).
cnf(refute_17_53,plain,
( op(e0,e2) = e3
| op(e3,e2) = e1
| op(e3,e2) = e3 ),
inference(resolve,[$cnf( $equal(op(op(e3,e2),e2),e3) )],[refute_17_1,refute_17_52]) ).
cnf(refute_17_54,plain,
op(unit,e2) = e2,
inference(canonicalize,[],[normalize_17_13]) ).
cnf(refute_17_55,plain,
op(e2,e3) != op(e3,e2),
inference(canonicalize,[],[normalize_17_14]) ).
cnf(refute_17_56,plain,
op(e3,unit) = e3,
inference(canonicalize,[],[normalize_17_15]) ).
cnf(refute_17_57,plain,
op(unit,e4) = e4,
inference(canonicalize,[],[normalize_17_16]) ).
cnf(refute_17_58,plain,
( unit = e0
| unit = e1
| unit = e2
| unit = e3
| unit = e4 ),
inference(canonicalize,[],[normalize_17_17]) ).
cnf(refute_17_59,plain,
( op(unit,e4) != e4
| unit != e1
| op(e1,e4) = e4 ),
introduced(tautology,[equality,[$cnf( $equal(op(unit,e4),e4) ),[0,0],$fot(e1)]]) ).
cnf(refute_17_60,plain,
( op(unit,e4) != e4
| op(e1,e4) = e4
| unit = e0
| unit = e2
| unit = e3
| unit = e4 ),
inference(resolve,[$cnf( $equal(unit,e1) )],[refute_17_58,refute_17_59]) ).
cnf(refute_17_61,plain,
( op(e1,e4) = e4
| unit = e0
| unit = e2
| unit = e3
| unit = e4 ),
inference(resolve,[$cnf( $equal(op(unit,e4),e4) )],[refute_17_57,refute_17_60]) ).
cnf(refute_17_62,plain,
e0 = op(op(e4,e4),e4),
inference(canonicalize,[],[normalize_17_18]) ).
cnf(refute_17_63,plain,
op(op(e4,e4),e4) = op(op(e4,e4),e4),
introduced(tautology,[refl,[$fot(op(op(e4,e4),e4))]]) ).
cnf(refute_17_64,plain,
( op(e4,e4) != e1
| op(op(e4,e4),e4) != op(op(e4,e4),e4)
| op(op(e4,e4),e4) = op(e1,e4) ),
introduced(tautology,[equality,[$cnf( $equal(op(op(e4,e4),e4),op(op(e4,e4),e4)) ),[1,0],$fot(e1)]]) ).
cnf(refute_17_65,plain,
( op(e4,e4) != e1
| op(op(e4,e4),e4) = op(e1,e4) ),
inference(resolve,[$cnf( $equal(op(op(e4,e4),e4),op(op(e4,e4),e4)) )],[refute_17_63,refute_17_64]) ).
cnf(refute_17_66,plain,
op(op(e4,e4),e4) = op(e1,e4),
inference(resolve,[$cnf( $equal(op(e4,e4),e1) )],[refute_17_10,refute_17_65]) ).
cnf(refute_17_67,plain,
( e0 != op(op(e4,e4),e4)
| op(op(e4,e4),e4) != op(e1,e4)
| e0 = op(e1,e4) ),
introduced(tautology,[equality,[$cnf( ~ $equal(e0,op(e1,e4)) ),[0],$fot(op(op(e4,e4),e4))]]) ).
cnf(refute_17_68,plain,
( e0 != op(op(e4,e4),e4)
| e0 = op(e1,e4) ),
inference(resolve,[$cnf( $equal(op(op(e4,e4),e4),op(e1,e4)) )],[refute_17_66,refute_17_67]) ).
cnf(refute_17_69,plain,
e0 = op(e1,e4),
inference(resolve,[$cnf( $equal(e0,op(op(e4,e4),e4)) )],[refute_17_62,refute_17_68]) ).
cnf(refute_17_70,plain,
( e0 != op(e1,e4)
| op(e1,e4) = e0 ),
inference(subst,[],[refute_17_8:[bind(X,$fot(e0)),bind(Y,$fot(op(e1,e4)))]]) ).
cnf(refute_17_71,plain,
op(e1,e4) = e0,
inference(resolve,[$cnf( $equal(e0,op(e1,e4)) )],[refute_17_69,refute_17_70]) ).
cnf(refute_17_72,plain,
( op(e1,e4) != e0
| op(e1,e4) != e4
| e0 = e4 ),
introduced(tautology,[equality,[$cnf( $equal(op(e1,e4),e4) ),[0],$fot(e0)]]) ).
cnf(refute_17_73,plain,
( op(e1,e4) != e4
| e0 = e4 ),
inference(resolve,[$cnf( $equal(op(e1,e4),e0) )],[refute_17_71,refute_17_72]) ).
cnf(refute_17_74,plain,
( e0 = e4
| unit = e0
| unit = e2
| unit = e3
| unit = e4 ),
inference(resolve,[$cnf( $equal(op(e1,e4),e4) )],[refute_17_61,refute_17_73]) ).
cnf(refute_17_75,plain,
e0 != e4,
inference(canonicalize,[],[normalize_17_20]) ).
cnf(refute_17_76,plain,
( unit = e0
| unit = e2
| unit = e3
| unit = e4 ),
inference(resolve,[$cnf( $equal(e0,e4) )],[refute_17_74,refute_17_75]) ).
cnf(refute_17_77,plain,
( op(unit,e4) != e4
| unit != e3
| op(e3,e4) = e4 ),
introduced(tautology,[equality,[$cnf( $equal(op(unit,e4),e4) ),[0,0],$fot(e3)]]) ).
cnf(refute_17_78,plain,
( op(unit,e4) != e4
| op(e3,e4) = e4
| unit = e0
| unit = e2
| unit = e4 ),
inference(resolve,[$cnf( $equal(unit,e3) )],[refute_17_76,refute_17_77]) ).
cnf(refute_17_79,plain,
( op(e3,e4) = e4
| unit = e0
| unit = e2
| unit = e4 ),
inference(resolve,[$cnf( $equal(op(unit,e4),e4) )],[refute_17_57,refute_17_78]) ).
cnf(refute_17_80,plain,
( op(e3,e4) != e2
| op(e3,e4) != e4
| e2 = e4 ),
introduced(tautology,[equality,[$cnf( $equal(op(e3,e4),e4) ),[0],$fot(e2)]]) ).
cnf(refute_17_81,plain,
( op(e3,e4) != e4
| e2 = e4 ),
inference(resolve,[$cnf( $equal(op(e3,e4),e2) )],[refute_17_36,refute_17_80]) ).
cnf(refute_17_82,plain,
( e2 = e4
| unit = e0
| unit = e2
| unit = e4 ),
inference(resolve,[$cnf( $equal(op(e3,e4),e4) )],[refute_17_79,refute_17_81]) ).
cnf(refute_17_83,plain,
e2 != e4,
inference(canonicalize,[],[normalize_17_21]) ).
cnf(refute_17_84,plain,
( unit = e0
| unit = e2
| unit = e4 ),
inference(resolve,[$cnf( $equal(e2,e4) )],[refute_17_82,refute_17_83]) ).
cnf(refute_17_85,plain,
( op(unit,e4) != e4
| unit != e4
| op(e4,e4) = e4 ),
introduced(tautology,[equality,[$cnf( $equal(op(unit,e4),e4) ),[0,0],$fot(e4)]]) ).
cnf(refute_17_86,plain,
( op(unit,e4) != e4
| op(e4,e4) = e4
| unit = e0
| unit = e2 ),
inference(resolve,[$cnf( $equal(unit,e4) )],[refute_17_84,refute_17_85]) ).
cnf(refute_17_87,plain,
( op(e4,e4) = e4
| unit = e0
| unit = e2 ),
inference(resolve,[$cnf( $equal(op(unit,e4),e4) )],[refute_17_57,refute_17_86]) ).
cnf(refute_17_88,plain,
( op(e4,e4) != e1
| op(e4,e4) != e4
| e1 = e4 ),
introduced(tautology,[equality,[$cnf( $equal(op(e4,e4),e4) ),[0],$fot(e1)]]) ).
cnf(refute_17_89,plain,
( op(e4,e4) != e4
| e1 = e4 ),
inference(resolve,[$cnf( $equal(op(e4,e4),e1) )],[refute_17_10,refute_17_88]) ).
cnf(refute_17_90,plain,
( e1 = e4
| unit = e0
| unit = e2 ),
inference(resolve,[$cnf( $equal(op(e4,e4),e4) )],[refute_17_87,refute_17_89]) ).
cnf(refute_17_91,plain,
e1 != e4,
inference(canonicalize,[],[normalize_17_22]) ).
cnf(refute_17_92,plain,
( unit = e0
| unit = e2 ),
inference(resolve,[$cnf( $equal(e1,e4) )],[refute_17_90,refute_17_91]) ).
cnf(refute_17_93,plain,
( op(e3,unit) != e3
| unit != e2
| op(e3,e2) = e3 ),
introduced(tautology,[equality,[$cnf( $equal(op(e3,unit),e3) ),[0,1],$fot(e2)]]) ).
cnf(refute_17_94,plain,
( op(e3,unit) != e3
| op(e3,e2) = e3
| unit = e0 ),
inference(resolve,[$cnf( $equal(unit,e2) )],[refute_17_92,refute_17_93]) ).
cnf(refute_17_95,plain,
( op(e3,e2) = e3
| unit = e0 ),
inference(resolve,[$cnf( $equal(op(e3,unit),e3) )],[refute_17_56,refute_17_94]) ).
cnf(refute_17_96,plain,
( op(e2,e3) != e3
| op(e3,e2) != e3
| op(e2,e3) = op(e3,e2) ),
introduced(tautology,[equality,[$cnf( ~ $equal(op(e2,e3),op(e3,e2)) ),[1],$fot(e3)]]) ).
cnf(refute_17_97,plain,
( op(e2,e3) != e3
| op(e2,e3) = op(e3,e2)
| unit = e0 ),
inference(resolve,[$cnf( $equal(op(e3,e2),e3) )],[refute_17_95,refute_17_96]) ).
cnf(refute_17_98,plain,
( op(e2,e3) != e3
| unit = e0 ),
inference(resolve,[$cnf( $equal(op(e2,e3),op(e3,e2)) )],[refute_17_97,refute_17_55]) ).
cnf(refute_17_99,plain,
op(unit,e3) = e3,
inference(canonicalize,[],[normalize_17_23]) ).
cnf(refute_17_100,plain,
( op(unit,e3) != e3
| unit != e2
| op(e2,e3) = e3 ),
introduced(tautology,[equality,[$cnf( $equal(op(unit,e3),e3) ),[0,0],$fot(e2)]]) ).
cnf(refute_17_101,plain,
( op(unit,e3) != e3
| op(e2,e3) = e3
| unit = e0 ),
inference(resolve,[$cnf( $equal(unit,e2) )],[refute_17_92,refute_17_100]) ).
cnf(refute_17_102,plain,
( op(e2,e3) = e3
| unit = e0 ),
inference(resolve,[$cnf( $equal(op(unit,e3),e3) )],[refute_17_99,refute_17_101]) ).
cnf(refute_17_103,plain,
( e3 != e3
| op(e2,e3) != e3
| op(e2,e3) = e3 ),
introduced(tautology,[equality,[$cnf( $equal(op(e2,e3),e3) ),[0,1],$fot(e3)]]) ).
cnf(refute_17_104,plain,
( e3 != e3
| op(e2,e3) = e3
| unit = e0 ),
inference(resolve,[$cnf( $equal(op(e2,e3),e3) )],[refute_17_102,refute_17_103]) ).
cnf(refute_17_105,plain,
( e3 != e3
| unit = e0 ),
inference(resolve,[$cnf( $equal(op(e2,e3),e3) )],[refute_17_104,refute_17_98]) ).
cnf(refute_17_106,plain,
e3 = e3,
introduced(tautology,[refl,[$fot(e3)]]) ).
cnf(refute_17_107,plain,
unit = e0,
inference(resolve,[$cnf( $equal(e3,e3) )],[refute_17_106,refute_17_105]) ).
cnf(refute_17_108,plain,
op(unit,e2) = op(unit,e2),
introduced(tautology,[refl,[$fot(op(unit,e2))]]) ).
cnf(refute_17_109,plain,
( op(unit,e2) != op(unit,e2)
| unit != e0
| op(unit,e2) = op(e0,e2) ),
introduced(tautology,[equality,[$cnf( $equal(op(unit,e2),op(unit,e2)) ),[1,0],$fot(e0)]]) ).
cnf(refute_17_110,plain,
( unit != e0
| op(unit,e2) = op(e0,e2) ),
inference(resolve,[$cnf( $equal(op(unit,e2),op(unit,e2)) )],[refute_17_108,refute_17_109]) ).
cnf(refute_17_111,plain,
op(unit,e2) = op(e0,e2),
inference(resolve,[$cnf( $equal(unit,e0) )],[refute_17_107,refute_17_110]) ).
cnf(refute_17_112,plain,
( op(unit,e2) != e2
| op(unit,e2) != op(e0,e2)
| op(e0,e2) = e2 ),
introduced(tautology,[equality,[$cnf( $equal(op(unit,e2),e2) ),[0],$fot(op(e0,e2))]]) ).
cnf(refute_17_113,plain,
( op(unit,e2) != e2
| op(e0,e2) = e2 ),
inference(resolve,[$cnf( $equal(op(unit,e2),op(e0,e2)) )],[refute_17_111,refute_17_112]) ).
cnf(refute_17_114,plain,
op(e0,e2) = e2,
inference(resolve,[$cnf( $equal(op(unit,e2),e2) )],[refute_17_54,refute_17_113]) ).
cnf(refute_17_115,plain,
( op(e0,e2) != e2
| op(e0,e2) != e3
| e2 = e3 ),
introduced(tautology,[equality,[$cnf( $equal(op(e0,e2),e3) ),[0],$fot(e2)]]) ).
cnf(refute_17_116,plain,
( op(e0,e2) != e3
| e2 = e3 ),
inference(resolve,[$cnf( $equal(op(e0,e2),e2) )],[refute_17_114,refute_17_115]) ).
cnf(refute_17_117,plain,
( e2 = e3
| op(e3,e2) = e1
| op(e3,e2) = e3 ),
inference(resolve,[$cnf( $equal(op(e0,e2),e3) )],[refute_17_53,refute_17_116]) ).
cnf(refute_17_118,plain,
e2 != e3,
inference(canonicalize,[],[normalize_17_24]) ).
cnf(refute_17_119,plain,
( op(e3,e2) = e1
| op(e3,e2) = e3 ),
inference(resolve,[$cnf( $equal(e2,e3) )],[refute_17_117,refute_17_118]) ).
cnf(refute_17_120,plain,
op(e3,e0) != op(e3,e2),
inference(canonicalize,[],[normalize_17_25]) ).
cnf(refute_17_121,plain,
op(e3,unit) = op(e3,unit),
introduced(tautology,[refl,[$fot(op(e3,unit))]]) ).
cnf(refute_17_122,plain,
( op(e3,unit) != op(e3,unit)
| unit != e0
| op(e3,unit) = op(e3,e0) ),
introduced(tautology,[equality,[$cnf( $equal(op(e3,unit),op(e3,unit)) ),[1,1],$fot(e0)]]) ).
cnf(refute_17_123,plain,
( unit != e0
| op(e3,unit) = op(e3,e0) ),
inference(resolve,[$cnf( $equal(op(e3,unit),op(e3,unit)) )],[refute_17_121,refute_17_122]) ).
cnf(refute_17_124,plain,
op(e3,unit) = op(e3,e0),
inference(resolve,[$cnf( $equal(unit,e0) )],[refute_17_107,refute_17_123]) ).
cnf(refute_17_125,plain,
( op(e3,unit) != e3
| op(e3,unit) != op(e3,e0)
| op(e3,e0) = e3 ),
introduced(tautology,[equality,[$cnf( $equal(op(e3,unit),e3) ),[0],$fot(op(e3,e0))]]) ).
cnf(refute_17_126,plain,
( op(e3,unit) != e3
| op(e3,e0) = e3 ),
inference(resolve,[$cnf( $equal(op(e3,unit),op(e3,e0)) )],[refute_17_124,refute_17_125]) ).
cnf(refute_17_127,plain,
op(e3,e0) = e3,
inference(resolve,[$cnf( $equal(op(e3,unit),e3) )],[refute_17_56,refute_17_126]) ).
cnf(refute_17_128,plain,
( e3 != op(e3,e2)
| op(e3,e0) != e3
| op(e3,e0) = op(e3,e2) ),
introduced(tautology,[equality,[$cnf( $equal(op(e3,e0),e3) ),[1],$fot(op(e3,e2))]]) ).
cnf(refute_17_129,plain,
( e3 != op(e3,e2)
| op(e3,e0) = op(e3,e2) ),
inference(resolve,[$cnf( $equal(op(e3,e0),e3) )],[refute_17_127,refute_17_128]) ).
cnf(refute_17_130,plain,
e3 != op(e3,e2),
inference(resolve,[$cnf( $equal(op(e3,e0),op(e3,e2)) )],[refute_17_129,refute_17_120]) ).
cnf(refute_17_131,plain,
( op(e3,e2) != e3
| e3 = op(e3,e2) ),
inference(subst,[],[refute_17_8:[bind(X,$fot(op(e3,e2))),bind(Y,$fot(e3))]]) ).
cnf(refute_17_132,plain,
op(e3,e2) != e3,
inference(resolve,[$cnf( $equal(e3,op(e3,e2)) )],[refute_17_131,refute_17_130]) ).
cnf(refute_17_133,plain,
op(e3,e2) = e1,
inference(resolve,[$cnf( $equal(op(e3,e2),e3) )],[refute_17_119,refute_17_132]) ).
cnf(refute_17_134,plain,
op(op(e3,e2),e2) = op(op(e3,e2),e2),
introduced(tautology,[refl,[$fot(op(op(e3,e2),e2))]]) ).
cnf(refute_17_135,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_17_136,plain,
( op(e3,e2) != e1
| op(op(e3,e2),e2) = op(e1,e2) ),
inference(resolve,[$cnf( $equal(op(op(e3,e2),e2),op(op(e3,e2),e2)) )],[refute_17_134,refute_17_135]) ).
cnf(refute_17_137,plain,
op(op(e3,e2),e2) = op(e1,e2),
inference(resolve,[$cnf( $equal(op(e3,e2),e1) )],[refute_17_133,refute_17_136]) ).
cnf(refute_17_138,plain,
( op(op(e3,e2),e2) != e3
| op(op(e3,e2),e2) != op(e1,e2)
| op(e1,e2) = e3 ),
introduced(tautology,[equality,[$cnf( $equal(op(op(e3,e2),e2),e3) ),[0],$fot(op(e1,e2))]]) ).
cnf(refute_17_139,plain,
( op(op(e3,e2),e2) != e3
| op(e1,e2) = e3 ),
inference(resolve,[$cnf( $equal(op(op(e3,e2),e2),op(e1,e2)) )],[refute_17_137,refute_17_138]) ).
cnf(refute_17_140,plain,
op(e1,e2) = e3,
inference(resolve,[$cnf( $equal(op(op(e3,e2),e2),e3) )],[refute_17_1,refute_17_139]) ).
cnf(refute_17_141,plain,
op(op(e1,e2),e2) = op(op(e1,e2),e2),
introduced(tautology,[refl,[$fot(op(op(e1,e2),e2))]]) ).
cnf(refute_17_142,plain,
( op(e1,e2) != e3
| op(op(e1,e2),e2) != op(op(e1,e2),e2)
| op(op(e1,e2),e2) = op(e3,e2) ),
introduced(tautology,[equality,[$cnf( $equal(op(op(e1,e2),e2),op(op(e1,e2),e2)) ),[1,0],$fot(e3)]]) ).
cnf(refute_17_143,plain,
( op(e1,e2) != e3
| op(op(e1,e2),e2) = op(e3,e2) ),
inference(resolve,[$cnf( $equal(op(op(e1,e2),e2),op(op(e1,e2),e2)) )],[refute_17_141,refute_17_142]) ).
cnf(refute_17_144,plain,
op(op(e1,e2),e2) = op(e3,e2),
inference(resolve,[$cnf( $equal(op(e1,e2),e3) )],[refute_17_140,refute_17_143]) ).
cnf(refute_17_145,plain,
( Y != X
| Y != Z
| X = Z ),
introduced(tautology,[equality,[$cnf( $equal(Y,Z) ),[0],$fot(X)]]) ).
cnf(refute_17_146,plain,
( X != Y
| Y != Z
| X = Z ),
inference(resolve,[$cnf( $equal(Y,X) )],[refute_17_8,refute_17_145]) ).
cnf(refute_17_147,plain,
( op(e3,e2) != e1
| op(op(e1,e2),e2) != op(e3,e2)
| op(op(e1,e2),e2) = e1 ),
inference(subst,[],[refute_17_146:[bind(X,$fot(op(op(e1,e2),e2))),bind(Y,$fot(op(e3,e2))),bind(Z,$fot(e1))]]) ).
cnf(refute_17_148,plain,
( op(e3,e2) != e1
| op(op(e1,e2),e2) = e1 ),
inference(resolve,[$cnf( $equal(op(op(e1,e2),e2),op(e3,e2)) )],[refute_17_144,refute_17_147]) ).
cnf(refute_17_149,plain,
op(op(e1,e2),e2) = e1,
inference(resolve,[$cnf( $equal(op(e3,e2),e1) )],[refute_17_133,refute_17_148]) ).
cnf(refute_17_150,plain,
( e1 != e1
| op(op(e1,e2),e2) != e1
| op(op(e1,e2),e2) = e1 ),
introduced(tautology,[equality,[$cnf( $equal(op(op(e1,e2),e2),e1) ),[0,0,0],$fot(e1)]]) ).
cnf(refute_17_151,plain,
( e1 != e1
| op(op(e1,e2),e2) = e1 ),
inference(resolve,[$cnf( $equal(op(op(e1,e2),e2),e1) )],[refute_17_149,refute_17_150]) ).
cnf(refute_17_152,plain,
( e1 != e1
| op(e2,e1) = op(e1,e2)
| op(op(e1,e2),e1) = e2 ),
inference(resolve,[$cnf( $equal(op(op(e1,e2),e2),e1) )],[refute_17_151,refute_17_0]) ).
cnf(refute_17_153,plain,
( op(e1,e2) != e3
| op(e2,e1) != op(e1,e2)
| op(e2,e1) = e3 ),
introduced(tautology,[equality,[$cnf( $equal(op(e2,e1),op(e1,e2)) ),[1],$fot(e3)]]) ).
cnf(refute_17_154,plain,
( op(e2,e1) != op(e1,e2)
| op(e2,e1) = e3 ),
inference(resolve,[$cnf( $equal(op(e1,e2),e3) )],[refute_17_140,refute_17_153]) ).
cnf(refute_17_155,plain,
( e1 != e1
| op(e2,e1) = e3
| op(op(e1,e2),e1) = e2 ),
inference(resolve,[$cnf( $equal(op(e2,e1),op(e1,e2)) )],[refute_17_152,refute_17_154]) ).
cnf(refute_17_156,plain,
op(op(e1,e2),e1) = op(op(e1,e2),e1),
introduced(tautology,[refl,[$fot(op(op(e1,e2),e1))]]) ).
cnf(refute_17_157,plain,
( op(e1,e2) != e3
| op(op(e1,e2),e1) != op(op(e1,e2),e1)
| op(op(e1,e2),e1) = op(e3,e1) ),
introduced(tautology,[equality,[$cnf( $equal(op(op(e1,e2),e1),op(op(e1,e2),e1)) ),[1,0],$fot(e3)]]) ).
cnf(refute_17_158,plain,
( op(e1,e2) != e3
| op(op(e1,e2),e1) = op(e3,e1) ),
inference(resolve,[$cnf( $equal(op(op(e1,e2),e1),op(op(e1,e2),e1)) )],[refute_17_156,refute_17_157]) ).
cnf(refute_17_159,plain,
op(op(e1,e2),e1) = op(e3,e1),
inference(resolve,[$cnf( $equal(op(e1,e2),e3) )],[refute_17_140,refute_17_158]) ).
cnf(refute_17_160,plain,
( op(op(e1,e2),e1) != e2
| op(op(e1,e2),e1) != op(e3,e1)
| op(e3,e1) = e2 ),
introduced(tautology,[equality,[$cnf( $equal(op(op(e1,e2),e1),e2) ),[0],$fot(op(e3,e1))]]) ).
cnf(refute_17_161,plain,
( op(op(e1,e2),e1) != e2
| op(e3,e1) = e2 ),
inference(resolve,[$cnf( $equal(op(op(e1,e2),e1),op(e3,e1)) )],[refute_17_159,refute_17_160]) ).
cnf(refute_17_162,plain,
( e1 != e1
| op(e2,e1) = e3
| op(e3,e1) = e2 ),
inference(resolve,[$cnf( $equal(op(op(e1,e2),e1),e2) )],[refute_17_155,refute_17_161]) ).
cnf(refute_17_163,plain,
e1 = e1,
introduced(tautology,[refl,[$fot(e1)]]) ).
cnf(refute_17_164,plain,
( op(e2,e1) = e3
| op(e3,e1) = e2 ),
inference(resolve,[$cnf( $equal(e1,e1) )],[refute_17_163,refute_17_162]) ).
cnf(refute_17_165,plain,
op(e2,e1) != op(e4,e1),
inference(canonicalize,[],[normalize_17_26]) ).
cnf(refute_17_166,plain,
( op(e2,e1) != e3
| op(e4,e1) != e3
| op(e2,e1) = op(e4,e1) ),
introduced(tautology,[equality,[$cnf( ~ $equal(op(e2,e1),op(e4,e1)) ),[1],$fot(e3)]]) ).
cnf(refute_17_167,plain,
( op(e2,e1) != e3
| op(e2,e1) = op(e4,e1) ),
inference(resolve,[$cnf( $equal(op(e4,e1),e3) )],[refute_17_27,refute_17_166]) ).
cnf(refute_17_168,plain,
op(e2,e1) != e3,
inference(resolve,[$cnf( $equal(op(e2,e1),op(e4,e1)) )],[refute_17_167,refute_17_165]) ).
cnf(refute_17_169,plain,
op(e3,e1) = e2,
inference(resolve,[$cnf( $equal(op(e2,e1),e3) )],[refute_17_164,refute_17_168]) ).
cnf(refute_17_170,plain,
op(e3,e1) != op(e3,e4),
inference(canonicalize,[],[normalize_17_27]) ).
cnf(refute_17_171,plain,
( op(e3,e1) != e2
| op(e3,e4) != e2
| op(e3,e1) = op(e3,e4) ),
introduced(tautology,[equality,[$cnf( ~ $equal(op(e3,e1),op(e3,e4)) ),[1],$fot(e2)]]) ).
cnf(refute_17_172,plain,
( op(e3,e1) != e2
| op(e3,e1) = op(e3,e4) ),
inference(resolve,[$cnf( $equal(op(e3,e4),e2) )],[refute_17_36,refute_17_171]) ).
cnf(refute_17_173,plain,
op(e3,e1) != e2,
inference(resolve,[$cnf( $equal(op(e3,e1),op(e3,e4)) )],[refute_17_172,refute_17_170]) ).
cnf(refute_17_174,plain,
$false,
inference(resolve,[$cnf( $equal(op(e3,e1),e2) )],[refute_17_169,refute_17_173]) ).
fof(negate_18_0,plain,
~ ( ( ( ( op(e0,e0) = e0
& op(e0,e0) = e0
& op(e0,e0) != e0 )
| ( op(e0,e0) = e1
& op(e1,e1) = e0
& op(e0,e1) != e0 )
| ( op(e0,e0) = e2
& op(e2,e2) = e0
& op(e0,e2) != e0 )
| ( op(e0,e0) = e3
& op(e3,e3) = e0
& op(e0,e3) != e0 )
| ( op(e0,e0) = e4
& op(e4,e4) = e0
& op(e0,e4) != e0 )
| ( op(e1,e1) = e0
& op(e0,e0) = e1
& op(e1,e0) != e1 )
| ( op(e1,e1) = e1
& op(e1,e1) = e1
& op(e1,e1) != e1 )
| ( op(e1,e1) = e2
& op(e2,e2) = e1
& op(e1,e2) != e1 )
| ( op(e1,e1) = e3
& op(e3,e3) = e1
& op(e1,e3) != e1 )
| ( op(e1,e1) = e4
& op(e4,e4) = e1
& op(e1,e4) != e1 )
| ( op(e2,e2) = e0
& op(e0,e0) = e2
& op(e2,e0) != e2 )
| ( op(e2,e2) = e1
& op(e1,e1) = e2
& op(e2,e1) != e2 )
| ( op(e2,e2) = e2
& op(e2,e2) = e2
& op(e2,e2) != e2 )
| ( op(e2,e2) = e3
& op(e3,e3) = e2
& op(e2,e3) != e2 )
| ( op(e2,e2) = e4
& op(e4,e4) = e2
& op(e2,e4) != e2 )
| ( op(e3,e3) = e0
& op(e0,e0) = e3
& op(e3,e0) != e3 )
| ( op(e3,e3) = e1
& op(e1,e1) = e3
& op(e3,e1) != e3 )
| ( op(e3,e3) = e2
& op(e2,e2) = e3
& op(e3,e2) != e3 )
| ( op(e3,e3) = e3
& op(e3,e3) = e3
& op(e3,e3) != e3 )
| ( op(e3,e3) = e4
& op(e4,e4) = e3
& op(e3,e4) != e3 )
| ( op(e4,e4) = e0
& op(e0,e0) = e4
& op(e4,e0) != e4 )
| ( op(e4,e4) = e1
& op(e1,e1) = e4
& op(e4,e1) != e4 )
| ( op(e4,e4) = e2
& op(e2,e2) = e4
& op(e4,e2) != e4 )
| ( op(e4,e4) = e3
& op(e3,e3) = e4
& op(e4,e3) != e4 )
| ( op(e4,e4) = e4
& op(e4,e4) = e4
& op(e4,e4) != e4 ) )
& ~ ( op(e0,e0) != op(e0,e0)
& op(op(e0,e0),e0) = e0
& op(op(e0,e0),e0) != e0 )
& ~ ( op(e1,e0) != op(e0,e1)
& op(op(e0,e1),e1) = e0
& op(op(e0,e1),e0) != e1 )
& ~ ( op(e2,e0) != op(e0,e2)
& op(op(e0,e2),e2) = e0
& op(op(e0,e2),e0) != e2 )
& ~ ( op(e3,e0) != op(e0,e3)
& op(op(e0,e3),e3) = e0
& op(op(e0,e3),e0) != e3 )
& ~ ( op(e4,e0) != op(e0,e4)
& op(op(e0,e4),e4) = e0
& op(op(e0,e4),e0) != e4 )
& ~ ( op(e0,e1) != op(e1,e0)
& op(op(e1,e0),e0) = e1
& op(op(e1,e0),e1) != e0 )
& ~ ( op(e1,e1) != op(e1,e1)
& op(op(e1,e1),e1) = e1
& op(op(e1,e1),e1) != e1 )
& ~ ( op(e2,e1) != op(e1,e2)
& op(op(e1,e2),e2) = e1
& op(op(e1,e2),e1) != e2 )
& ~ ( op(e3,e1) != op(e1,e3)
& op(op(e1,e3),e3) = e1
& op(op(e1,e3),e1) != e3 )
& ~ ( op(e4,e1) != op(e1,e4)
& op(op(e1,e4),e4) = e1
& op(op(e1,e4),e1) != e4 )
& ~ ( op(e0,e2) != op(e2,e0)
& op(op(e2,e0),e0) = e2
& op(op(e2,e0),e2) != e0 )
& ~ ( op(e1,e2) != op(e2,e1)
& op(op(e2,e1),e1) = e2
& op(op(e2,e1),e2) != e1 )
& ~ ( op(e2,e2) != op(e2,e2)
& op(op(e2,e2),e2) = e2
& op(op(e2,e2),e2) != e2 )
& ~ ( op(e3,e2) != op(e2,e3)
& op(op(e2,e3),e3) = e2
& op(op(e2,e3),e2) != e3 )
& ~ ( op(e4,e2) != op(e2,e4)
& op(op(e2,e4),e4) = e2
& op(op(e2,e4),e2) != e4 )
& ~ ( op(e0,e3) != op(e3,e0)
& op(op(e3,e0),e0) = e3
& op(op(e3,e0),e3) != e0 )
& ~ ( op(e1,e3) != op(e3,e1)
& op(op(e3,e1),e1) = e3
& op(op(e3,e1),e3) != e1 )
& ~ ( op(e2,e3) != op(e3,e2)
& op(op(e3,e2),e2) = e3
& op(op(e3,e2),e3) != e2 )
& op(e3,e3) != op(e3,e3)
& op(op(e3,e3),e3) = e3 )
=> op(op(e3,e3),e3) = e3 ),
inference(negate,[],[subgoal_18]) ).
fof(normalize_18_0,plain,
$false,
inference(canonicalize,[],[negate_18_0]) ).
cnf(refute_18_0,plain,
$false,
inference(canonicalize,[],[normalize_18_0]) ).
fof(negate_19_0,plain,
~ ( ( ( ( op(e0,e0) = e0
& op(e0,e0) = e0
& op(e0,e0) != e0 )
| ( op(e0,e0) = e1
& op(e1,e1) = e0
& op(e0,e1) != e0 )
| ( op(e0,e0) = e2
& op(e2,e2) = e0
& op(e0,e2) != e0 )
| ( op(e0,e0) = e3
& op(e3,e3) = e0
& op(e0,e3) != e0 )
| ( op(e0,e0) = e4
& op(e4,e4) = e0
& op(e0,e4) != e0 )
| ( op(e1,e1) = e0
& op(e0,e0) = e1
& op(e1,e0) != e1 )
| ( op(e1,e1) = e1
& op(e1,e1) = e1
& op(e1,e1) != e1 )
| ( op(e1,e1) = e2
& op(e2,e2) = e1
& op(e1,e2) != e1 )
| ( op(e1,e1) = e3
& op(e3,e3) = e1
& op(e1,e3) != e1 )
| ( op(e1,e1) = e4
& op(e4,e4) = e1
& op(e1,e4) != e1 )
| ( op(e2,e2) = e0
& op(e0,e0) = e2
& op(e2,e0) != e2 )
| ( op(e2,e2) = e1
& op(e1,e1) = e2
& op(e2,e1) != e2 )
| ( op(e2,e2) = e2
& op(e2,e2) = e2
& op(e2,e2) != e2 )
| ( op(e2,e2) = e3
& op(e3,e3) = e2
& op(e2,e3) != e2 )
| ( op(e2,e2) = e4
& op(e4,e4) = e2
& op(e2,e4) != e2 )
| ( op(e3,e3) = e0
& op(e0,e0) = e3
& op(e3,e0) != e3 )
| ( op(e3,e3) = e1
& op(e1,e1) = e3
& op(e3,e1) != e3 )
| ( op(e3,e3) = e2
& op(e2,e2) = e3
& op(e3,e2) != e3 )
| ( op(e3,e3) = e3
& op(e3,e3) = e3
& op(e3,e3) != e3 )
| ( op(e3,e3) = e4
& op(e4,e4) = e3
& op(e3,e4) != e3 )
| ( op(e4,e4) = e0
& op(e0,e0) = e4
& op(e4,e0) != e4 )
| ( op(e4,e4) = e1
& op(e1,e1) = e4
& op(e4,e1) != e4 )
| ( op(e4,e4) = e2
& op(e2,e2) = e4
& op(e4,e2) != e4 )
| ( op(e4,e4) = e3
& op(e3,e3) = e4
& op(e4,e3) != e4 )
| ( op(e4,e4) = e4
& op(e4,e4) = e4
& op(e4,e4) != e4 ) )
& ~ ( op(e0,e0) != op(e0,e0)
& op(op(e0,e0),e0) = e0
& op(op(e0,e0),e0) != e0 )
& ~ ( op(e1,e0) != op(e0,e1)
& op(op(e0,e1),e1) = e0
& op(op(e0,e1),e0) != e1 )
& ~ ( op(e2,e0) != op(e0,e2)
& op(op(e0,e2),e2) = e0
& op(op(e0,e2),e0) != e2 )
& ~ ( op(e3,e0) != op(e0,e3)
& op(op(e0,e3),e3) = e0
& op(op(e0,e3),e0) != e3 )
& ~ ( op(e4,e0) != op(e0,e4)
& op(op(e0,e4),e4) = e0
& op(op(e0,e4),e0) != e4 )
& ~ ( op(e0,e1) != op(e1,e0)
& op(op(e1,e0),e0) = e1
& op(op(e1,e0),e1) != e0 )
& ~ ( op(e1,e1) != op(e1,e1)
& op(op(e1,e1),e1) = e1
& op(op(e1,e1),e1) != e1 )
& ~ ( op(e2,e1) != op(e1,e2)
& op(op(e1,e2),e2) = e1
& op(op(e1,e2),e1) != e2 )
& ~ ( op(e3,e1) != op(e1,e3)
& op(op(e1,e3),e3) = e1
& op(op(e1,e3),e1) != e3 )
& ~ ( op(e4,e1) != op(e1,e4)
& op(op(e1,e4),e4) = e1
& op(op(e1,e4),e1) != e4 )
& ~ ( op(e0,e2) != op(e2,e0)
& op(op(e2,e0),e0) = e2
& op(op(e2,e0),e2) != e0 )
& ~ ( op(e1,e2) != op(e2,e1)
& op(op(e2,e1),e1) = e2
& op(op(e2,e1),e2) != e1 )
& ~ ( op(e2,e2) != op(e2,e2)
& op(op(e2,e2),e2) = e2
& op(op(e2,e2),e2) != e2 )
& ~ ( op(e3,e2) != op(e2,e3)
& op(op(e2,e3),e3) = e2
& op(op(e2,e3),e2) != e3 )
& ~ ( op(e4,e2) != op(e2,e4)
& op(op(e2,e4),e4) = e2
& op(op(e2,e4),e2) != e4 )
& ~ ( op(e0,e3) != op(e3,e0)
& op(op(e3,e0),e0) = e3
& op(op(e3,e0),e3) != e0 )
& ~ ( op(e1,e3) != op(e3,e1)
& op(op(e3,e1),e1) = e3
& op(op(e3,e1),e3) != e1 )
& ~ ( op(e2,e3) != op(e3,e2)
& op(op(e3,e2),e2) = e3
& op(op(e3,e2),e3) != e2 )
& ~ ( op(e3,e3) != op(e3,e3)
& op(op(e3,e3),e3) = e3
& op(op(e3,e3),e3) != e3 )
& op(e4,e3) != op(e3,e4)
& op(op(e3,e4),e4) = e3 )
=> op(op(e3,e4),e3) = e4 ),
inference(negate,[],[subgoal_19]) ).
fof(normalize_19_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,[],[ax3]) ).
fof(normalize_19_1,plain,
( op(e4,e0) = e2
| op(e4,e1) = e2
| op(e4,e2) = e2
| op(e4,e3) = e2
| op(e4,e4) = e2 ),
inference(conjunct,[],[normalize_19_0]) ).
fof(normalize_19_2,plain,
( e0 = op(op(e4,e4),e4)
& e1 = op(e4,e4)
& e2 = op(op(e4,op(e4,e4)),e4)
& e3 = op(e4,op(e4,e4)) ),
inference(canonicalize,[],[ax6]) ).
fof(normalize_19_3,plain,
e3 = op(e4,op(e4,e4)),
inference(conjunct,[],[normalize_19_2]) ).
fof(normalize_19_4,plain,
e1 = op(e4,e4),
inference(conjunct,[],[normalize_19_2]) ).
fof(normalize_19_5,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_19_6,plain,
e1 != e2,
inference(conjunct,[],[normalize_19_5]) ).
fof(normalize_19_7,plain,
e2 != e3,
inference(conjunct,[],[normalize_19_5]) ).
fof(normalize_19_8,plain,
( op(e4,e3) != op(e3,e4)
& op(op(e3,e4),e3) != e4
& op(op(e3,e4),e4) = e3
& ( op(op(e0,e1),e1) != e0
| op(e1,e0) = op(e0,e1)
| op(op(e0,e1),e0) = e1 )
& ( op(op(e0,e2),e2) != e0
| op(e2,e0) = op(e0,e2)
| op(op(e0,e2),e0) = e2 )
& ( op(op(e0,e3),e3) != e0
| op(e3,e0) = op(e0,e3)
| op(op(e0,e3),e0) = e3 )
& ( op(op(e0,e4),e4) != e0
| op(e4,e0) = op(e0,e4)
| op(op(e0,e4),e0) = e4 )
& ( op(op(e1,e0),e0) != e1
| op(e0,e1) = op(e1,e0)
| op(op(e1,e0),e1) = e0 )
& ( op(op(e1,e2),e2) != e1
| op(e2,e1) = op(e1,e2)
| op(op(e1,e2),e1) = e2 )
& ( op(op(e1,e3),e3) != e1
| op(e3,e1) = op(e1,e3)
| op(op(e1,e3),e1) = e3 )
& ( op(op(e1,e4),e4) != e1
| op(e4,e1) = op(e1,e4)
| op(op(e1,e4),e1) = e4 )
& ( op(op(e2,e0),e0) != e2
| op(e0,e2) = op(e2,e0)
| op(op(e2,e0),e2) = e0 )
& ( op(op(e2,e1),e1) != e2
| op(e1,e2) = op(e2,e1)
| op(op(e2,e1),e2) = e1 )
& ( op(op(e2,e3),e3) != e2
| op(e3,e2) = op(e2,e3)
| op(op(e2,e3),e2) = e3 )
& ( op(op(e2,e4),e4) != e2
| op(e4,e2) = op(e2,e4)
| op(op(e2,e4),e2) = e4 )
& ( op(op(e3,e0),e0) != e3
| op(e0,e3) = op(e3,e0)
| op(op(e3,e0),e3) = e0 )
& ( op(op(e3,e1),e1) != e3
| op(e1,e3) = op(e3,e1)
| op(op(e3,e1),e3) = e1 )
& ( op(op(e3,e2),e2) != e3
| op(e2,e3) = op(e3,e2)
| op(op(e3,e2),e3) = e2 )
& ( ( op(e0,e1) != e0
& op(e0,e0) = e1
& op(e1,e1) = e0 )
| ( op(e0,e2) != e0
& op(e0,e0) = e2
& op(e2,e2) = e0 )
| ( op(e0,e3) != e0
& op(e0,e0) = e3
& op(e3,e3) = e0 )
| ( op(e0,e4) != e0
& op(e0,e0) = e4
& op(e4,e4) = e0 )
| ( op(e1,e0) != e1
& op(e0,e0) = e1
& op(e1,e1) = e0 )
| ( op(e1,e2) != e1
& op(e1,e1) = e2
& op(e2,e2) = e1 )
| ( op(e1,e3) != e1
& op(e1,e1) = e3
& op(e3,e3) = e1 )
| ( op(e1,e4) != e1
& op(e1,e1) = e4
& op(e4,e4) = e1 )
| ( op(e2,e0) != e2
& op(e0,e0) = e2
& op(e2,e2) = e0 )
| ( op(e2,e1) != e2
& op(e1,e1) = e2
& op(e2,e2) = e1 )
| ( op(e2,e3) != e2
& op(e2,e2) = e3
& op(e3,e3) = e2 )
| ( op(e2,e4) != e2
& op(e2,e2) = e4
& op(e4,e4) = e2 )
| ( op(e3,e0) != e3
& op(e0,e0) = e3
& op(e3,e3) = e0 )
| ( op(e3,e1) != e3
& op(e1,e1) = e3
& op(e3,e3) = e1 )
| ( op(e3,e2) != e3
& op(e2,e2) = e3
& op(e3,e3) = e2 )
| ( op(e3,e4) != e3
& op(e3,e3) = e4
& op(e4,e4) = e3 )
| ( op(e4,e0) != e4
& op(e0,e0) = e4
& op(e4,e4) = e0 )
| ( op(e4,e1) != e4
& op(e1,e1) = e4
& op(e4,e4) = e1 )
| ( op(e4,e2) != e4
& op(e2,e2) = e4
& op(e4,e4) = e2 )
| ( op(e4,e3) != e4
& op(e3,e3) = e4
& op(e4,e4) = e3 ) ) ),
inference(canonicalize,[],[negate_19_0]) ).
fof(normalize_19_9,plain,
op(e4,e3) != op(e3,e4),
inference(conjunct,[],[normalize_19_8]) ).
fof(normalize_19_10,plain,
e2 = op(op(e4,op(e4,e4)),e4),
inference(conjunct,[],[normalize_19_2]) ).
fof(normalize_19_11,plain,
( op(e0,unit) = e0
& op(e1,unit) = e1
& op(e2,unit) = e2
& op(e3,unit) = e3
& op(e4,unit) = e4
& op(unit,e0) = e0
& op(unit,e1) = e1
& op(unit,e2) = e2
& op(unit,e3) = e3
& op(unit,e4) = e4
& ( unit = e0
| unit = e1
| unit = e2
| unit = e3
| unit = e4 ) ),
inference(canonicalize,[],[ax2]) ).
fof(normalize_19_12,plain,
op(e4,unit) = e4,
inference(conjunct,[],[normalize_19_11]) ).
fof(normalize_19_13,plain,
op(unit,e4) = e4,
inference(conjunct,[],[normalize_19_11]) ).
fof(normalize_19_14,plain,
( unit = e0
| unit = e1
| unit = e2
| unit = e3
| unit = e4 ),
inference(conjunct,[],[normalize_19_11]) ).
fof(normalize_19_15,plain,
e0 = op(op(e4,e4),e4),
inference(conjunct,[],[normalize_19_2]) ).
fof(normalize_19_16,plain,
e0 != e4,
inference(conjunct,[],[normalize_19_5]) ).
fof(normalize_19_17,plain,
op(op(e3,e4),e4) = e3,
inference(conjunct,[],[normalize_19_8]) ).
fof(normalize_19_18,plain,
e3 != e4,
inference(conjunct,[],[normalize_19_5]) ).
fof(normalize_19_19,plain,
e2 != e4,
inference(conjunct,[],[normalize_19_5]) ).
fof(normalize_19_20,plain,
e1 != e4,
inference(conjunct,[],[normalize_19_5]) ).
fof(normalize_19_21,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_19_22,plain,
op(e0,e2) != op(e4,e2),
inference(conjunct,[],[normalize_19_21]) ).
fof(normalize_19_23,plain,
op(unit,e2) = e2,
inference(conjunct,[],[normalize_19_11]) ).
cnf(refute_19_0,plain,
( op(e4,e0) = e2
| op(e4,e1) = e2
| op(e4,e2) = e2
| op(e4,e3) = e2
| op(e4,e4) = e2 ),
inference(canonicalize,[],[normalize_19_1]) ).
cnf(refute_19_1,plain,
e3 = op(e4,op(e4,e4)),
inference(canonicalize,[],[normalize_19_3]) ).
cnf(refute_19_2,plain,
e1 = op(e4,e4),
inference(canonicalize,[],[normalize_19_4]) ).
cnf(refute_19_3,plain,
X = X,
introduced(tautology,[refl,[$fot(X)]]) ).
cnf(refute_19_4,plain,
( X != X
| X != Y
| Y = X ),
introduced(tautology,[equality,[$cnf( $equal(X,X) ),[0],$fot(Y)]]) ).
cnf(refute_19_5,plain,
( X != Y
| Y = X ),
inference(resolve,[$cnf( $equal(X,X) )],[refute_19_3,refute_19_4]) ).
cnf(refute_19_6,plain,
( e1 != op(e4,e4)
| op(e4,e4) = e1 ),
inference(subst,[],[refute_19_5:[bind(X,$fot(e1)),bind(Y,$fot(op(e4,e4)))]]) ).
cnf(refute_19_7,plain,
op(e4,e4) = e1,
inference(resolve,[$cnf( $equal(e1,op(e4,e4)) )],[refute_19_2,refute_19_6]) ).
cnf(refute_19_8,plain,
op(e4,op(e4,e4)) = op(e4,op(e4,e4)),
introduced(tautology,[refl,[$fot(op(e4,op(e4,e4)))]]) ).
cnf(refute_19_9,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_19_10,plain,
( op(e4,e4) != e1
| op(e4,op(e4,e4)) = op(e4,e1) ),
inference(resolve,[$cnf( $equal(op(e4,op(e4,e4)),op(e4,op(e4,e4))) )],[refute_19_8,refute_19_9]) ).
cnf(refute_19_11,plain,
op(e4,op(e4,e4)) = op(e4,e1),
inference(resolve,[$cnf( $equal(op(e4,e4),e1) )],[refute_19_7,refute_19_10]) ).
cnf(refute_19_12,plain,
( e3 != op(e4,op(e4,e4))
| op(e4,op(e4,e4)) != op(e4,e1)
| e3 = op(e4,e1) ),
introduced(tautology,[equality,[$cnf( ~ $equal(e3,op(e4,e1)) ),[0],$fot(op(e4,op(e4,e4)))]]) ).
cnf(refute_19_13,plain,
( e3 != op(e4,op(e4,e4))
| e3 = op(e4,e1) ),
inference(resolve,[$cnf( $equal(op(e4,op(e4,e4)),op(e4,e1)) )],[refute_19_11,refute_19_12]) ).
cnf(refute_19_14,plain,
e3 = op(e4,e1),
inference(resolve,[$cnf( $equal(e3,op(e4,op(e4,e4))) )],[refute_19_1,refute_19_13]) ).
cnf(refute_19_15,plain,
( e3 != op(e4,e1)
| op(e4,e1) = e3 ),
inference(subst,[],[refute_19_5:[bind(X,$fot(e3)),bind(Y,$fot(op(e4,e1)))]]) ).
cnf(refute_19_16,plain,
op(e4,e1) = e3,
inference(resolve,[$cnf( $equal(e3,op(e4,e1)) )],[refute_19_14,refute_19_15]) ).
cnf(refute_19_17,plain,
( op(e4,e1) != e2
| op(e4,e1) != e3
| e3 = e2 ),
introduced(tautology,[equality,[$cnf( $equal(op(e4,e1),e2) ),[0],$fot(e3)]]) ).
cnf(refute_19_18,plain,
( op(e4,e1) != e2
| e3 = e2 ),
inference(resolve,[$cnf( $equal(op(e4,e1),e3) )],[refute_19_16,refute_19_17]) ).
cnf(refute_19_19,plain,
( e3 = e2
| op(e4,e0) = e2
| op(e4,e2) = e2
| op(e4,e3) = e2
| op(e4,e4) = e2 ),
inference(resolve,[$cnf( $equal(op(e4,e1),e2) )],[refute_19_0,refute_19_18]) ).
cnf(refute_19_20,plain,
( op(e4,e4) != e1
| op(e4,e4) != e2
| e1 = e2 ),
introduced(tautology,[equality,[$cnf( $equal(op(e4,e4),e2) ),[0],$fot(e1)]]) ).
cnf(refute_19_21,plain,
( op(e4,e4) != e2
| e1 = e2 ),
inference(resolve,[$cnf( $equal(op(e4,e4),e1) )],[refute_19_7,refute_19_20]) ).
cnf(refute_19_22,plain,
( e1 = e2
| e3 = e2
| op(e4,e0) = e2
| op(e4,e2) = e2
| op(e4,e3) = e2 ),
inference(resolve,[$cnf( $equal(op(e4,e4),e2) )],[refute_19_19,refute_19_21]) ).
cnf(refute_19_23,plain,
e1 != e2,
inference(canonicalize,[],[normalize_19_6]) ).
cnf(refute_19_24,plain,
( e3 = e2
| op(e4,e0) = e2
| op(e4,e2) = e2
| op(e4,e3) = e2 ),
inference(resolve,[$cnf( $equal(e1,e2) )],[refute_19_22,refute_19_23]) ).
cnf(refute_19_25,plain,
e2 != e3,
inference(canonicalize,[],[normalize_19_7]) ).
cnf(refute_19_26,plain,
( e3 != e2
| e2 = e3 ),
inference(subst,[],[refute_19_5:[bind(X,$fot(e3)),bind(Y,$fot(e2))]]) ).
cnf(refute_19_27,plain,
e3 != e2,
inference(resolve,[$cnf( $equal(e2,e3) )],[refute_19_26,refute_19_25]) ).
cnf(refute_19_28,plain,
( op(e4,e0) = e2
| op(e4,e2) = e2
| op(e4,e3) = e2 ),
inference(resolve,[$cnf( $equal(e3,e2) )],[refute_19_24,refute_19_27]) ).
cnf(refute_19_29,plain,
op(e4,e3) != op(e3,e4),
inference(canonicalize,[],[normalize_19_9]) ).
cnf(refute_19_30,plain,
e2 = op(op(e4,op(e4,e4)),e4),
inference(canonicalize,[],[normalize_19_10]) ).
cnf(refute_19_31,plain,
op(op(e4,op(e4,e4)),e4) = op(op(e4,op(e4,e4)),e4),
introduced(tautology,[refl,[$fot(op(op(e4,op(e4,e4)),e4))]]) ).
cnf(refute_19_32,plain,
( op(e4,op(e4,e4)) != op(e4,e1)
| op(op(e4,op(e4,e4)),e4) != op(op(e4,op(e4,e4)),e4)
| op(op(e4,op(e4,e4)),e4) = op(op(e4,e1),e4) ),
introduced(tautology,[equality,[$cnf( $equal(op(op(e4,op(e4,e4)),e4),op(op(e4,op(e4,e4)),e4)) ),[1,0],$fot(op(e4,e1))]]) ).
cnf(refute_19_33,plain,
( op(e4,op(e4,e4)) != op(e4,e1)
| op(op(e4,op(e4,e4)),e4) = op(op(e4,e1),e4) ),
inference(resolve,[$cnf( $equal(op(op(e4,op(e4,e4)),e4),op(op(e4,op(e4,e4)),e4)) )],[refute_19_31,refute_19_32]) ).
cnf(refute_19_34,plain,
op(op(e4,op(e4,e4)),e4) = op(op(e4,e1),e4),
inference(resolve,[$cnf( $equal(op(e4,op(e4,e4)),op(e4,e1)) )],[refute_19_11,refute_19_33]) ).
cnf(refute_19_35,plain,
( e2 != op(op(e4,op(e4,e4)),e4)
| op(op(e4,op(e4,e4)),e4) != op(op(e4,e1),e4)
| e2 = op(op(e4,e1),e4) ),
introduced(tautology,[equality,[$cnf( ~ $equal(e2,op(op(e4,e1),e4)) ),[0],$fot(op(op(e4,op(e4,e4)),e4))]]) ).
cnf(refute_19_36,plain,
( e2 != op(op(e4,op(e4,e4)),e4)
| e2 = op(op(e4,e1),e4) ),
inference(resolve,[$cnf( $equal(op(op(e4,op(e4,e4)),e4),op(op(e4,e1),e4)) )],[refute_19_34,refute_19_35]) ).
cnf(refute_19_37,plain,
e2 = op(op(e4,e1),e4),
inference(resolve,[$cnf( $equal(e2,op(op(e4,op(e4,e4)),e4)) )],[refute_19_30,refute_19_36]) ).
cnf(refute_19_38,plain,
op(op(e4,e1),e4) = op(op(e4,e1),e4),
introduced(tautology,[refl,[$fot(op(op(e4,e1),e4))]]) ).
cnf(refute_19_39,plain,
( op(e4,e1) != e3
| op(op(e4,e1),e4) != op(op(e4,e1),e4)
| op(op(e4,e1),e4) = op(e3,e4) ),
introduced(tautology,[equality,[$cnf( $equal(op(op(e4,e1),e4),op(op(e4,e1),e4)) ),[1,0],$fot(e3)]]) ).
cnf(refute_19_40,plain,
( op(e4,e1) != e3
| op(op(e4,e1),e4) = op(e3,e4) ),
inference(resolve,[$cnf( $equal(op(op(e4,e1),e4),op(op(e4,e1),e4)) )],[refute_19_38,refute_19_39]) ).
cnf(refute_19_41,plain,
op(op(e4,e1),e4) = op(e3,e4),
inference(resolve,[$cnf( $equal(op(e4,e1),e3) )],[refute_19_16,refute_19_40]) ).
cnf(refute_19_42,plain,
( e2 != op(op(e4,e1),e4)
| op(op(e4,e1),e4) != op(e3,e4)
| e2 = op(e3,e4) ),
introduced(tautology,[equality,[$cnf( ~ $equal(e2,op(e3,e4)) ),[0],$fot(op(op(e4,e1),e4))]]) ).
cnf(refute_19_43,plain,
( e2 != op(op(e4,e1),e4)
| e2 = op(e3,e4) ),
inference(resolve,[$cnf( $equal(op(op(e4,e1),e4),op(e3,e4)) )],[refute_19_41,refute_19_42]) ).
cnf(refute_19_44,plain,
e2 = op(e3,e4),
inference(resolve,[$cnf( $equal(e2,op(op(e4,e1),e4)) )],[refute_19_37,refute_19_43]) ).
cnf(refute_19_45,plain,
( e2 != op(e3,e4)
| op(e3,e4) = e2 ),
inference(subst,[],[refute_19_5:[bind(X,$fot(e2)),bind(Y,$fot(op(e3,e4)))]]) ).
cnf(refute_19_46,plain,
op(e3,e4) = e2,
inference(resolve,[$cnf( $equal(e2,op(e3,e4)) )],[refute_19_44,refute_19_45]) ).
cnf(refute_19_47,plain,
( op(e3,e4) != e2
| op(e4,e3) != e2
| op(e4,e3) = op(e3,e4) ),
introduced(tautology,[equality,[$cnf( ~ $equal(op(e4,e3),op(e3,e4)) ),[1],$fot(e2)]]) ).
cnf(refute_19_48,plain,
( op(e4,e3) != e2
| op(e4,e3) = op(e3,e4) ),
inference(resolve,[$cnf( $equal(op(e3,e4),e2) )],[refute_19_46,refute_19_47]) ).
cnf(refute_19_49,plain,
op(e4,e3) != e2,
inference(resolve,[$cnf( $equal(op(e4,e3),op(e3,e4)) )],[refute_19_48,refute_19_29]) ).
cnf(refute_19_50,plain,
( op(e4,e0) = e2
| op(e4,e2) = e2 ),
inference(resolve,[$cnf( $equal(op(e4,e3),e2) )],[refute_19_28,refute_19_49]) ).
cnf(refute_19_51,plain,
op(e4,unit) = e4,
inference(canonicalize,[],[normalize_19_12]) ).
cnf(refute_19_52,plain,
op(unit,e4) = e4,
inference(canonicalize,[],[normalize_19_13]) ).
cnf(refute_19_53,plain,
( unit = e0
| unit = e1
| unit = e2
| unit = e3
| unit = e4 ),
inference(canonicalize,[],[normalize_19_14]) ).
cnf(refute_19_54,plain,
( op(unit,e4) != e4
| unit != e1
| op(e1,e4) = e4 ),
introduced(tautology,[equality,[$cnf( $equal(op(unit,e4),e4) ),[0,0],$fot(e1)]]) ).
cnf(refute_19_55,plain,
( op(unit,e4) != e4
| op(e1,e4) = e4
| unit = e0
| unit = e2
| unit = e3
| unit = e4 ),
inference(resolve,[$cnf( $equal(unit,e1) )],[refute_19_53,refute_19_54]) ).
cnf(refute_19_56,plain,
( op(e1,e4) = e4
| unit = e0
| unit = e2
| unit = e3
| unit = e4 ),
inference(resolve,[$cnf( $equal(op(unit,e4),e4) )],[refute_19_52,refute_19_55]) ).
cnf(refute_19_57,plain,
e0 = op(op(e4,e4),e4),
inference(canonicalize,[],[normalize_19_15]) ).
cnf(refute_19_58,plain,
op(op(e4,e4),e4) = op(op(e4,e4),e4),
introduced(tautology,[refl,[$fot(op(op(e4,e4),e4))]]) ).
cnf(refute_19_59,plain,
( op(e4,e4) != e1
| op(op(e4,e4),e4) != op(op(e4,e4),e4)
| op(op(e4,e4),e4) = op(e1,e4) ),
introduced(tautology,[equality,[$cnf( $equal(op(op(e4,e4),e4),op(op(e4,e4),e4)) ),[1,0],$fot(e1)]]) ).
cnf(refute_19_60,plain,
( op(e4,e4) != e1
| op(op(e4,e4),e4) = op(e1,e4) ),
inference(resolve,[$cnf( $equal(op(op(e4,e4),e4),op(op(e4,e4),e4)) )],[refute_19_58,refute_19_59]) ).
cnf(refute_19_61,plain,
op(op(e4,e4),e4) = op(e1,e4),
inference(resolve,[$cnf( $equal(op(e4,e4),e1) )],[refute_19_7,refute_19_60]) ).
cnf(refute_19_62,plain,
( e0 != op(op(e4,e4),e4)
| op(op(e4,e4),e4) != op(e1,e4)
| e0 = op(e1,e4) ),
introduced(tautology,[equality,[$cnf( ~ $equal(e0,op(e1,e4)) ),[0],$fot(op(op(e4,e4),e4))]]) ).
cnf(refute_19_63,plain,
( e0 != op(op(e4,e4),e4)
| e0 = op(e1,e4) ),
inference(resolve,[$cnf( $equal(op(op(e4,e4),e4),op(e1,e4)) )],[refute_19_61,refute_19_62]) ).
cnf(refute_19_64,plain,
e0 = op(e1,e4),
inference(resolve,[$cnf( $equal(e0,op(op(e4,e4),e4)) )],[refute_19_57,refute_19_63]) ).
cnf(refute_19_65,plain,
( e0 != op(e1,e4)
| op(e1,e4) = e0 ),
inference(subst,[],[refute_19_5:[bind(X,$fot(e0)),bind(Y,$fot(op(e1,e4)))]]) ).
cnf(refute_19_66,plain,
op(e1,e4) = e0,
inference(resolve,[$cnf( $equal(e0,op(e1,e4)) )],[refute_19_64,refute_19_65]) ).
cnf(refute_19_67,plain,
( op(e1,e4) != e0
| op(e1,e4) != e4
| e0 = e4 ),
introduced(tautology,[equality,[$cnf( $equal(op(e1,e4),e4) ),[0],$fot(e0)]]) ).
cnf(refute_19_68,plain,
( op(e1,e4) != e4
| e0 = e4 ),
inference(resolve,[$cnf( $equal(op(e1,e4),e0) )],[refute_19_66,refute_19_67]) ).
cnf(refute_19_69,plain,
( e0 = e4
| unit = e0
| unit = e2
| unit = e3
| unit = e4 ),
inference(resolve,[$cnf( $equal(op(e1,e4),e4) )],[refute_19_56,refute_19_68]) ).
cnf(refute_19_70,plain,
e0 != e4,
inference(canonicalize,[],[normalize_19_16]) ).
cnf(refute_19_71,plain,
( unit = e0
| unit = e2
| unit = e3
| unit = e4 ),
inference(resolve,[$cnf( $equal(e0,e4) )],[refute_19_69,refute_19_70]) ).
cnf(refute_19_72,plain,
( op(unit,e4) != e4
| unit != e2
| op(e2,e4) = e4 ),
introduced(tautology,[equality,[$cnf( $equal(op(unit,e4),e4) ),[0,0],$fot(e2)]]) ).
cnf(refute_19_73,plain,
( op(unit,e4) != e4
| op(e2,e4) = e4
| unit = e0
| unit = e3
| unit = e4 ),
inference(resolve,[$cnf( $equal(unit,e2) )],[refute_19_71,refute_19_72]) ).
cnf(refute_19_74,plain,
( op(e2,e4) = e4
| unit = e0
| unit = e3
| unit = e4 ),
inference(resolve,[$cnf( $equal(op(unit,e4),e4) )],[refute_19_52,refute_19_73]) ).
cnf(refute_19_75,plain,
op(op(e3,e4),e4) = e3,
inference(canonicalize,[],[normalize_19_17]) ).
cnf(refute_19_76,plain,
op(op(e3,e4),e4) = op(op(e3,e4),e4),
introduced(tautology,[refl,[$fot(op(op(e3,e4),e4))]]) ).
cnf(refute_19_77,plain,
( op(e3,e4) != e2
| op(op(e3,e4),e4) != op(op(e3,e4),e4)
| op(op(e3,e4),e4) = op(e2,e4) ),
introduced(tautology,[equality,[$cnf( $equal(op(op(e3,e4),e4),op(op(e3,e4),e4)) ),[1,0],$fot(e2)]]) ).
cnf(refute_19_78,plain,
( op(e3,e4) != e2
| op(op(e3,e4),e4) = op(e2,e4) ),
inference(resolve,[$cnf( $equal(op(op(e3,e4),e4),op(op(e3,e4),e4)) )],[refute_19_76,refute_19_77]) ).
cnf(refute_19_79,plain,
op(op(e3,e4),e4) = op(e2,e4),
inference(resolve,[$cnf( $equal(op(e3,e4),e2) )],[refute_19_46,refute_19_78]) ).
cnf(refute_19_80,plain,
( op(op(e3,e4),e4) != e3
| op(op(e3,e4),e4) != op(e2,e4)
| op(e2,e4) = e3 ),
introduced(tautology,[equality,[$cnf( $equal(op(op(e3,e4),e4),e3) ),[0],$fot(op(e2,e4))]]) ).
cnf(refute_19_81,plain,
( op(op(e3,e4),e4) != e3
| op(e2,e4) = e3 ),
inference(resolve,[$cnf( $equal(op(op(e3,e4),e4),op(e2,e4)) )],[refute_19_79,refute_19_80]) ).
cnf(refute_19_82,plain,
op(e2,e4) = e3,
inference(resolve,[$cnf( $equal(op(op(e3,e4),e4),e3) )],[refute_19_75,refute_19_81]) ).
cnf(refute_19_83,plain,
( op(e2,e4) != e3
| op(e2,e4) != e4
| e3 = e4 ),
introduced(tautology,[equality,[$cnf( $equal(op(e2,e4),e4) ),[0],$fot(e3)]]) ).
cnf(refute_19_84,plain,
( op(e2,e4) != e4
| e3 = e4 ),
inference(resolve,[$cnf( $equal(op(e2,e4),e3) )],[refute_19_82,refute_19_83]) ).
cnf(refute_19_85,plain,
( e3 = e4
| unit = e0
| unit = e3
| unit = e4 ),
inference(resolve,[$cnf( $equal(op(e2,e4),e4) )],[refute_19_74,refute_19_84]) ).
cnf(refute_19_86,plain,
e3 != e4,
inference(canonicalize,[],[normalize_19_18]) ).
cnf(refute_19_87,plain,
( unit = e0
| unit = e3
| unit = e4 ),
inference(resolve,[$cnf( $equal(e3,e4) )],[refute_19_85,refute_19_86]) ).
cnf(refute_19_88,plain,
( op(unit,e4) != e4
| unit != e3
| op(e3,e4) = e4 ),
introduced(tautology,[equality,[$cnf( $equal(op(unit,e4),e4) ),[0,0],$fot(e3)]]) ).
cnf(refute_19_89,plain,
( op(unit,e4) != e4
| op(e3,e4) = e4
| unit = e0
| unit = e4 ),
inference(resolve,[$cnf( $equal(unit,e3) )],[refute_19_87,refute_19_88]) ).
cnf(refute_19_90,plain,
( op(e3,e4) = e4
| unit = e0
| unit = e4 ),
inference(resolve,[$cnf( $equal(op(unit,e4),e4) )],[refute_19_52,refute_19_89]) ).
cnf(refute_19_91,plain,
( op(e3,e4) != e2
| op(e3,e4) != e4
| e2 = e4 ),
introduced(tautology,[equality,[$cnf( $equal(op(e3,e4),e4) ),[0],$fot(e2)]]) ).
cnf(refute_19_92,plain,
( op(e3,e4) != e4
| e2 = e4 ),
inference(resolve,[$cnf( $equal(op(e3,e4),e2) )],[refute_19_46,refute_19_91]) ).
cnf(refute_19_93,plain,
( e2 = e4
| unit = e0
| unit = e4 ),
inference(resolve,[$cnf( $equal(op(e3,e4),e4) )],[refute_19_90,refute_19_92]) ).
cnf(refute_19_94,plain,
e2 != e4,
inference(canonicalize,[],[normalize_19_19]) ).
cnf(refute_19_95,plain,
( unit = e0
| unit = e4 ),
inference(resolve,[$cnf( $equal(e2,e4) )],[refute_19_93,refute_19_94]) ).
cnf(refute_19_96,plain,
( op(unit,e4) != e4
| unit != e4
| op(e4,e4) = e4 ),
introduced(tautology,[equality,[$cnf( $equal(op(unit,e4),e4) ),[0,0],$fot(e4)]]) ).
cnf(refute_19_97,plain,
( op(unit,e4) != e4
| op(e4,e4) = e4
| unit = e0 ),
inference(resolve,[$cnf( $equal(unit,e4) )],[refute_19_95,refute_19_96]) ).
cnf(refute_19_98,plain,
( op(e4,e4) = e4
| unit = e0 ),
inference(resolve,[$cnf( $equal(op(unit,e4),e4) )],[refute_19_52,refute_19_97]) ).
cnf(refute_19_99,plain,
( op(e4,e4) != e1
| op(e4,e4) != e4
| e1 = e4 ),
introduced(tautology,[equality,[$cnf( $equal(op(e4,e4),e4) ),[0],$fot(e1)]]) ).
cnf(refute_19_100,plain,
( op(e4,e4) != e4
| e1 = e4 ),
inference(resolve,[$cnf( $equal(op(e4,e4),e1) )],[refute_19_7,refute_19_99]) ).
cnf(refute_19_101,plain,
( e1 = e4
| unit = e0 ),
inference(resolve,[$cnf( $equal(op(e4,e4),e4) )],[refute_19_98,refute_19_100]) ).
cnf(refute_19_102,plain,
e1 != e4,
inference(canonicalize,[],[normalize_19_20]) ).
cnf(refute_19_103,plain,
unit = e0,
inference(resolve,[$cnf( $equal(e1,e4) )],[refute_19_101,refute_19_102]) ).
cnf(refute_19_104,plain,
op(e4,unit) = op(e4,unit),
introduced(tautology,[refl,[$fot(op(e4,unit))]]) ).
cnf(refute_19_105,plain,
( op(e4,unit) != op(e4,unit)
| unit != e0
| op(e4,unit) = op(e4,e0) ),
introduced(tautology,[equality,[$cnf( $equal(op(e4,unit),op(e4,unit)) ),[1,1],$fot(e0)]]) ).
cnf(refute_19_106,plain,
( unit != e0
| op(e4,unit) = op(e4,e0) ),
inference(resolve,[$cnf( $equal(op(e4,unit),op(e4,unit)) )],[refute_19_104,refute_19_105]) ).
cnf(refute_19_107,plain,
op(e4,unit) = op(e4,e0),
inference(resolve,[$cnf( $equal(unit,e0) )],[refute_19_103,refute_19_106]) ).
cnf(refute_19_108,plain,
( op(e4,unit) != e4
| op(e4,unit) != op(e4,e0)
| op(e4,e0) = e4 ),
introduced(tautology,[equality,[$cnf( $equal(op(e4,unit),e4) ),[0],$fot(op(e4,e0))]]) ).
cnf(refute_19_109,plain,
( op(e4,unit) != e4
| op(e4,e0) = e4 ),
inference(resolve,[$cnf( $equal(op(e4,unit),op(e4,e0)) )],[refute_19_107,refute_19_108]) ).
cnf(refute_19_110,plain,
op(e4,e0) = e4,
inference(resolve,[$cnf( $equal(op(e4,unit),e4) )],[refute_19_51,refute_19_109]) ).
cnf(refute_19_111,plain,
( op(e4,e0) != e2
| op(e4,e0) != e4
| e4 = e2 ),
introduced(tautology,[equality,[$cnf( $equal(op(e4,e0),e2) ),[0],$fot(e4)]]) ).
cnf(refute_19_112,plain,
( op(e4,e0) != e2
| e4 = e2 ),
inference(resolve,[$cnf( $equal(op(e4,e0),e4) )],[refute_19_110,refute_19_111]) ).
cnf(refute_19_113,plain,
( e4 = e2
| op(e4,e2) = e2 ),
inference(resolve,[$cnf( $equal(op(e4,e0),e2) )],[refute_19_50,refute_19_112]) ).
cnf(refute_19_114,plain,
( e4 != e2
| e2 = e4 ),
inference(subst,[],[refute_19_5:[bind(X,$fot(e4)),bind(Y,$fot(e2))]]) ).
cnf(refute_19_115,plain,
e4 != e2,
inference(resolve,[$cnf( $equal(e2,e4) )],[refute_19_114,refute_19_94]) ).
cnf(refute_19_116,plain,
op(e4,e2) = e2,
inference(resolve,[$cnf( $equal(e4,e2) )],[refute_19_113,refute_19_115]) ).
cnf(refute_19_117,plain,
op(e0,e2) != op(e4,e2),
inference(canonicalize,[],[normalize_19_22]) ).
cnf(refute_19_118,plain,
op(unit,e2) = e2,
inference(canonicalize,[],[normalize_19_23]) ).
cnf(refute_19_119,plain,
op(unit,e2) = op(unit,e2),
introduced(tautology,[refl,[$fot(op(unit,e2))]]) ).
cnf(refute_19_120,plain,
( op(unit,e2) != op(unit,e2)
| unit != e0
| op(unit,e2) = op(e0,e2) ),
introduced(tautology,[equality,[$cnf( $equal(op(unit,e2),op(unit,e2)) ),[1,0],$fot(e0)]]) ).
cnf(refute_19_121,plain,
( unit != e0
| op(unit,e2) = op(e0,e2) ),
inference(resolve,[$cnf( $equal(op(unit,e2),op(unit,e2)) )],[refute_19_119,refute_19_120]) ).
cnf(refute_19_122,plain,
op(unit,e2) = op(e0,e2),
inference(resolve,[$cnf( $equal(unit,e0) )],[refute_19_103,refute_19_121]) ).
cnf(refute_19_123,plain,
( op(unit,e2) != e2
| op(unit,e2) != op(e0,e2)
| op(e0,e2) = e2 ),
introduced(tautology,[equality,[$cnf( $equal(op(unit,e2),e2) ),[0],$fot(op(e0,e2))]]) ).
cnf(refute_19_124,plain,
( op(unit,e2) != e2
| op(e0,e2) = e2 ),
inference(resolve,[$cnf( $equal(op(unit,e2),op(e0,e2)) )],[refute_19_122,refute_19_123]) ).
cnf(refute_19_125,plain,
op(e0,e2) = e2,
inference(resolve,[$cnf( $equal(op(unit,e2),e2) )],[refute_19_118,refute_19_124]) ).
cnf(refute_19_126,plain,
( e2 != op(e4,e2)
| op(e0,e2) != e2
| op(e0,e2) = op(e4,e2) ),
introduced(tautology,[equality,[$cnf( $equal(op(e0,e2),e2) ),[1],$fot(op(e4,e2))]]) ).
cnf(refute_19_127,plain,
( e2 != op(e4,e2)
| op(e0,e2) = op(e4,e2) ),
inference(resolve,[$cnf( $equal(op(e0,e2),e2) )],[refute_19_125,refute_19_126]) ).
cnf(refute_19_128,plain,
e2 != op(e4,e2),
inference(resolve,[$cnf( $equal(op(e0,e2),op(e4,e2)) )],[refute_19_127,refute_19_117]) ).
cnf(refute_19_129,plain,
( op(e4,e2) != e2
| e2 = op(e4,e2) ),
inference(subst,[],[refute_19_5:[bind(X,$fot(op(e4,e2))),bind(Y,$fot(e2))]]) ).
cnf(refute_19_130,plain,
op(e4,e2) != e2,
inference(resolve,[$cnf( $equal(e2,op(e4,e2)) )],[refute_19_129,refute_19_128]) ).
cnf(refute_19_131,plain,
$false,
inference(resolve,[$cnf( $equal(op(e4,e2),e2) )],[refute_19_116,refute_19_130]) ).
fof(negate_20_0,plain,
~ ( ( ( ( op(e0,e0) = e0
& op(e0,e0) = e0
& op(e0,e0) != e0 )
| ( op(e0,e0) = e1
& op(e1,e1) = e0
& op(e0,e1) != e0 )
| ( op(e0,e0) = e2
& op(e2,e2) = e0
& op(e0,e2) != e0 )
| ( op(e0,e0) = e3
& op(e3,e3) = e0
& op(e0,e3) != e0 )
| ( op(e0,e0) = e4
& op(e4,e4) = e0
& op(e0,e4) != e0 )
| ( op(e1,e1) = e0
& op(e0,e0) = e1
& op(e1,e0) != e1 )
| ( op(e1,e1) = e1
& op(e1,e1) = e1
& op(e1,e1) != e1 )
| ( op(e1,e1) = e2
& op(e2,e2) = e1
& op(e1,e2) != e1 )
| ( op(e1,e1) = e3
& op(e3,e3) = e1
& op(e1,e3) != e1 )
| ( op(e1,e1) = e4
& op(e4,e4) = e1
& op(e1,e4) != e1 )
| ( op(e2,e2) = e0
& op(e0,e0) = e2
& op(e2,e0) != e2 )
| ( op(e2,e2) = e1
& op(e1,e1) = e2
& op(e2,e1) != e2 )
| ( op(e2,e2) = e2
& op(e2,e2) = e2
& op(e2,e2) != e2 )
| ( op(e2,e2) = e3
& op(e3,e3) = e2
& op(e2,e3) != e2 )
| ( op(e2,e2) = e4
& op(e4,e4) = e2
& op(e2,e4) != e2 )
| ( op(e3,e3) = e0
& op(e0,e0) = e3
& op(e3,e0) != e3 )
| ( op(e3,e3) = e1
& op(e1,e1) = e3
& op(e3,e1) != e3 )
| ( op(e3,e3) = e2
& op(e2,e2) = e3
& op(e3,e2) != e3 )
| ( op(e3,e3) = e3
& op(e3,e3) = e3
& op(e3,e3) != e3 )
| ( op(e3,e3) = e4
& op(e4,e4) = e3
& op(e3,e4) != e3 )
| ( op(e4,e4) = e0
& op(e0,e0) = e4
& op(e4,e0) != e4 )
| ( op(e4,e4) = e1
& op(e1,e1) = e4
& op(e4,e1) != e4 )
| ( op(e4,e4) = e2
& op(e2,e2) = e4
& op(e4,e2) != e4 )
| ( op(e4,e4) = e3
& op(e3,e3) = e4
& op(e4,e3) != e4 )
| ( op(e4,e4) = e4
& op(e4,e4) = e4
& op(e4,e4) != e4 ) )
& ~ ( op(e0,e0) != op(e0,e0)
& op(op(e0,e0),e0) = e0
& op(op(e0,e0),e0) != e0 )
& ~ ( op(e1,e0) != op(e0,e1)
& op(op(e0,e1),e1) = e0
& op(op(e0,e1),e0) != e1 )
& ~ ( op(e2,e0) != op(e0,e2)
& op(op(e0,e2),e2) = e0
& op(op(e0,e2),e0) != e2 )
& ~ ( op(e3,e0) != op(e0,e3)
& op(op(e0,e3),e3) = e0
& op(op(e0,e3),e0) != e3 )
& ~ ( op(e4,e0) != op(e0,e4)
& op(op(e0,e4),e4) = e0
& op(op(e0,e4),e0) != e4 )
& ~ ( op(e0,e1) != op(e1,e0)
& op(op(e1,e0),e0) = e1
& op(op(e1,e0),e1) != e0 )
& ~ ( op(e1,e1) != op(e1,e1)
& op(op(e1,e1),e1) = e1
& op(op(e1,e1),e1) != e1 )
& ~ ( op(e2,e1) != op(e1,e2)
& op(op(e1,e2),e2) = e1
& op(op(e1,e2),e1) != e2 )
& ~ ( op(e3,e1) != op(e1,e3)
& op(op(e1,e3),e3) = e1
& op(op(e1,e3),e1) != e3 )
& ~ ( op(e4,e1) != op(e1,e4)
& op(op(e1,e4),e4) = e1
& op(op(e1,e4),e1) != e4 )
& ~ ( op(e0,e2) != op(e2,e0)
& op(op(e2,e0),e0) = e2
& op(op(e2,e0),e2) != e0 )
& ~ ( op(e1,e2) != op(e2,e1)
& op(op(e2,e1),e1) = e2
& op(op(e2,e1),e2) != e1 )
& ~ ( op(e2,e2) != op(e2,e2)
& op(op(e2,e2),e2) = e2
& op(op(e2,e2),e2) != e2 )
& ~ ( op(e3,e2) != op(e2,e3)
& op(op(e2,e3),e3) = e2
& op(op(e2,e3),e2) != e3 )
& ~ ( op(e4,e2) != op(e2,e4)
& op(op(e2,e4),e4) = e2
& op(op(e2,e4),e2) != e4 )
& ~ ( op(e0,e3) != op(e3,e0)
& op(op(e3,e0),e0) = e3
& op(op(e3,e0),e3) != e0 )
& ~ ( op(e1,e3) != op(e3,e1)
& op(op(e3,e1),e1) = e3
& op(op(e3,e1),e3) != e1 )
& ~ ( op(e2,e3) != op(e3,e2)
& op(op(e3,e2),e2) = e3
& op(op(e3,e2),e3) != e2 )
& ~ ( op(e3,e3) != op(e3,e3)
& op(op(e3,e3),e3) = e3
& op(op(e3,e3),e3) != e3 )
& ~ ( op(e4,e3) != op(e3,e4)
& op(op(e3,e4),e4) = e3
& op(op(e3,e4),e3) != e4 )
& op(e0,e4) != op(e4,e0)
& op(op(e4,e0),e0) = e4 )
=> op(op(e4,e0),e4) = e0 ),
inference(negate,[],[subgoal_20]) ).
fof(normalize_20_0,plain,
( e0 = op(op(e4,e4),e4)
& e1 = op(e4,e4)
& e2 = op(op(e4,op(e4,e4)),e4)
& e3 = op(e4,op(e4,e4)) ),
inference(canonicalize,[],[ax6]) ).
fof(normalize_20_1,plain,
e1 = op(e4,e4),
inference(conjunct,[],[normalize_20_0]) ).
fof(normalize_20_2,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,[],[ax3]) ).
fof(normalize_20_3,plain,
( op(e4,e0) = e2
| op(e4,e1) = e2
| op(e4,e2) = e2
| op(e4,e3) = e2
| op(e4,e4) = e2 ),
inference(conjunct,[],[normalize_20_2]) ).
fof(normalize_20_4,plain,
e3 = op(e4,op(e4,e4)),
inference(conjunct,[],[normalize_20_0]) ).
fof(normalize_20_5,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_20_6,plain,
e1 != e2,
inference(conjunct,[],[normalize_20_5]) ).
fof(normalize_20_7,plain,
e2 != e3,
inference(conjunct,[],[normalize_20_5]) ).
fof(normalize_20_8,plain,
( op(e0,unit) = e0
& op(e1,unit) = e1
& op(e2,unit) = e2
& op(e3,unit) = e3
& op(e4,unit) = e4
& op(unit,e0) = e0
& op(unit,e1) = e1
& op(unit,e2) = e2
& op(unit,e3) = e3
& op(unit,e4) = e4
& ( unit = e0
| unit = e1
| unit = e2
| unit = e3
| unit = e4 ) ),
inference(canonicalize,[],[ax2]) ).
fof(normalize_20_9,plain,
op(e4,unit) = e4,
inference(conjunct,[],[normalize_20_8]) ).
fof(normalize_20_10,plain,
( op(e0,e4) != op(e4,e0)
& op(op(e4,e0),e4) != e0
& op(op(e4,e0),e0) = e4
& ( op(op(e0,e1),e1) != e0
| op(e1,e0) = op(e0,e1)
| op(op(e0,e1),e0) = e1 )
& ( op(op(e0,e2),e2) != e0
| op(e2,e0) = op(e0,e2)
| op(op(e0,e2),e0) = e2 )
& ( op(op(e0,e3),e3) != e0
| op(e3,e0) = op(e0,e3)
| op(op(e0,e3),e0) = e3 )
& ( op(op(e0,e4),e4) != e0
| op(e4,e0) = op(e0,e4)
| op(op(e0,e4),e0) = e4 )
& ( op(op(e1,e0),e0) != e1
| op(e0,e1) = op(e1,e0)
| op(op(e1,e0),e1) = e0 )
& ( op(op(e1,e2),e2) != e1
| op(e2,e1) = op(e1,e2)
| op(op(e1,e2),e1) = e2 )
& ( op(op(e1,e3),e3) != e1
| op(e3,e1) = op(e1,e3)
| op(op(e1,e3),e1) = e3 )
& ( op(op(e1,e4),e4) != e1
| op(e4,e1) = op(e1,e4)
| op(op(e1,e4),e1) = e4 )
& ( op(op(e2,e0),e0) != e2
| op(e0,e2) = op(e2,e0)
| op(op(e2,e0),e2) = e0 )
& ( op(op(e2,e1),e1) != e2
| op(e1,e2) = op(e2,e1)
| op(op(e2,e1),e2) = e1 )
& ( op(op(e2,e3),e3) != e2
| op(e3,e2) = op(e2,e3)
| op(op(e2,e3),e2) = e3 )
& ( op(op(e2,e4),e4) != e2
| op(e4,e2) = op(e2,e4)
| op(op(e2,e4),e2) = e4 )
& ( op(op(e3,e0),e0) != e3
| op(e0,e3) = op(e3,e0)
| op(op(e3,e0),e3) = e0 )
& ( op(op(e3,e1),e1) != e3
| op(e1,e3) = op(e3,e1)
| op(op(e3,e1),e3) = e1 )
& ( op(op(e3,e2),e2) != e3
| op(e2,e3) = op(e3,e2)
| op(op(e3,e2),e3) = e2 )
& ( op(op(e3,e4),e4) != e3
| op(e4,e3) = op(e3,e4)
| op(op(e3,e4),e3) = e4 )
& ( ( op(e0,e1) != e0
& op(e0,e0) = e1
& op(e1,e1) = e0 )
| ( op(e0,e2) != e0
& op(e0,e0) = e2
& op(e2,e2) = e0 )
| ( op(e0,e3) != e0
& op(e0,e0) = e3
& op(e3,e3) = e0 )
| ( op(e0,e4) != e0
& op(e0,e0) = e4
& op(e4,e4) = e0 )
| ( op(e1,e0) != e1
& op(e0,e0) = e1
& op(e1,e1) = e0 )
| ( op(e1,e2) != e1
& op(e1,e1) = e2
& op(e2,e2) = e1 )
| ( op(e1,e3) != e1
& op(e1,e1) = e3
& op(e3,e3) = e1 )
| ( op(e1,e4) != e1
& op(e1,e1) = e4
& op(e4,e4) = e1 )
| ( op(e2,e0) != e2
& op(e0,e0) = e2
& op(e2,e2) = e0 )
| ( op(e2,e1) != e2
& op(e1,e1) = e2
& op(e2,e2) = e1 )
| ( op(e2,e3) != e2
& op(e2,e2) = e3
& op(e3,e3) = e2 )
| ( op(e2,e4) != e2
& op(e2,e2) = e4
& op(e4,e4) = e2 )
| ( op(e3,e0) != e3
& op(e0,e0) = e3
& op(e3,e3) = e0 )
| ( op(e3,e1) != e3
& op(e1,e1) = e3
& op(e3,e3) = e1 )
| ( op(e3,e2) != e3
& op(e2,e2) = e3
& op(e3,e3) = e2 )
| ( op(e3,e4) != e3
& op(e3,e3) = e4
& op(e4,e4) = e3 )
| ( op(e4,e0) != e4
& op(e0,e0) = e4
& op(e4,e4) = e0 )
| ( op(e4,e1) != e4
& op(e1,e1) = e4
& op(e4,e4) = e1 )
| ( op(e4,e2) != e4
& op(e2,e2) = e4
& op(e4,e4) = e2 )
| ( op(e4,e3) != e4
& op(e3,e3) = e4
& op(e4,e4) = e3 ) ) ),
inference(canonicalize,[],[negate_20_0]) ).
fof(normalize_20_11,plain,
op(e0,e4) != op(e4,e0),
inference(conjunct,[],[normalize_20_10]) ).
fof(normalize_20_12,plain,
op(unit,e4) = e4,
inference(conjunct,[],[normalize_20_8]) ).
fof(normalize_20_13,plain,
( unit = e0
| unit = e1
| unit = e2
| unit = e3
| unit = e4 ),
inference(conjunct,[],[normalize_20_8]) ).
fof(normalize_20_14,plain,
e0 = op(op(e4,e4),e4),
inference(conjunct,[],[normalize_20_0]) ).
fof(normalize_20_15,plain,
e0 != e4,
inference(conjunct,[],[normalize_20_5]) ).
fof(normalize_20_16,plain,
e2 = op(op(e4,op(e4,e4)),e4),
inference(conjunct,[],[normalize_20_0]) ).
fof(normalize_20_17,plain,
e2 != e4,
inference(conjunct,[],[normalize_20_5]) ).
fof(normalize_20_18,plain,
e1 != e4,
inference(conjunct,[],[normalize_20_5]) ).
fof(normalize_20_19,plain,
( op(e4,e0) = e0
| op(e4,e1) = e0
| op(e4,e2) = e0
| op(e4,e3) = e0
| op(e4,e4) = e0 ),
inference(conjunct,[],[normalize_20_2]) ).
fof(normalize_20_20,plain,
e0 != e1,
inference(conjunct,[],[normalize_20_5]) ).
fof(normalize_20_21,plain,
e0 != e3,
inference(conjunct,[],[normalize_20_5]) ).
fof(normalize_20_22,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_20_23,plain,
op(e2,e0) != op(e4,e0),
inference(conjunct,[],[normalize_20_22]) ).
fof(normalize_20_24,plain,
op(unit,e0) = e0,
inference(conjunct,[],[normalize_20_8]) ).
fof(normalize_20_25,plain,
e0 != e2,
inference(conjunct,[],[normalize_20_5]) ).
fof(normalize_20_26,plain,
op(op(e4,e0),e0) = e4,
inference(conjunct,[],[normalize_20_10]) ).
fof(normalize_20_27,plain,
op(e0,unit) = e0,
inference(conjunct,[],[normalize_20_8]) ).
cnf(refute_20_0,plain,
e1 = op(e4,e4),
inference(canonicalize,[],[normalize_20_1]) ).
cnf(refute_20_1,plain,
( op(e4,e0) = e2
| op(e4,e1) = e2
| op(e4,e2) = e2
| op(e4,e3) = e2
| op(e4,e4) = e2 ),
inference(canonicalize,[],[normalize_20_3]) ).
cnf(refute_20_2,plain,
e3 = op(e4,op(e4,e4)),
inference(canonicalize,[],[normalize_20_4]) ).
cnf(refute_20_3,plain,
X = X,
introduced(tautology,[refl,[$fot(X)]]) ).
cnf(refute_20_4,plain,
( X != X
| X != Y
| Y = X ),
introduced(tautology,[equality,[$cnf( $equal(X,X) ),[0],$fot(Y)]]) ).
cnf(refute_20_5,plain,
( X != Y
| Y = X ),
inference(resolve,[$cnf( $equal(X,X) )],[refute_20_3,refute_20_4]) ).
cnf(refute_20_6,plain,
( e1 != op(e4,e4)
| op(e4,e4) = e1 ),
inference(subst,[],[refute_20_5:[bind(X,$fot(e1)),bind(Y,$fot(op(e4,e4)))]]) ).
cnf(refute_20_7,plain,
op(e4,e4) = e1,
inference(resolve,[$cnf( $equal(e1,op(e4,e4)) )],[refute_20_0,refute_20_6]) ).
cnf(refute_20_8,plain,
op(e4,op(e4,e4)) = op(e4,op(e4,e4)),
introduced(tautology,[refl,[$fot(op(e4,op(e4,e4)))]]) ).
cnf(refute_20_9,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_20_10,plain,
( op(e4,e4) != e1
| op(e4,op(e4,e4)) = op(e4,e1) ),
inference(resolve,[$cnf( $equal(op(e4,op(e4,e4)),op(e4,op(e4,e4))) )],[refute_20_8,refute_20_9]) ).
cnf(refute_20_11,plain,
op(e4,op(e4,e4)) = op(e4,e1),
inference(resolve,[$cnf( $equal(op(e4,e4),e1) )],[refute_20_7,refute_20_10]) ).
cnf(refute_20_12,plain,
( e3 != op(e4,op(e4,e4))
| op(e4,op(e4,e4)) != op(e4,e1)
| e3 = op(e4,e1) ),
introduced(tautology,[equality,[$cnf( ~ $equal(e3,op(e4,e1)) ),[0],$fot(op(e4,op(e4,e4)))]]) ).
cnf(refute_20_13,plain,
( e3 != op(e4,op(e4,e4))
| e3 = op(e4,e1) ),
inference(resolve,[$cnf( $equal(op(e4,op(e4,e4)),op(e4,e1)) )],[refute_20_11,refute_20_12]) ).
cnf(refute_20_14,plain,
e3 = op(e4,e1),
inference(resolve,[$cnf( $equal(e3,op(e4,op(e4,e4))) )],[refute_20_2,refute_20_13]) ).
cnf(refute_20_15,plain,
( e3 != op(e4,e1)
| op(e4,e1) = e3 ),
inference(subst,[],[refute_20_5:[bind(X,$fot(e3)),bind(Y,$fot(op(e4,e1)))]]) ).
cnf(refute_20_16,plain,
op(e4,e1) = e3,
inference(resolve,[$cnf( $equal(e3,op(e4,e1)) )],[refute_20_14,refute_20_15]) ).
cnf(refute_20_17,plain,
( op(e4,e1) != e2
| op(e4,e1) != e3
| e3 = e2 ),
introduced(tautology,[equality,[$cnf( $equal(op(e4,e1),e2) ),[0],$fot(e3)]]) ).
cnf(refute_20_18,plain,
( op(e4,e1) != e2
| e3 = e2 ),
inference(resolve,[$cnf( $equal(op(e4,e1),e3) )],[refute_20_16,refute_20_17]) ).
cnf(refute_20_19,plain,
( e3 = e2
| op(e4,e0) = e2
| op(e4,e2) = e2
| op(e4,e3) = e2
| op(e4,e4) = e2 ),
inference(resolve,[$cnf( $equal(op(e4,e1),e2) )],[refute_20_1,refute_20_18]) ).
cnf(refute_20_20,plain,
( op(e4,e4) != e1
| op(e4,e4) != e2
| e1 = e2 ),
introduced(tautology,[equality,[$cnf( $equal(op(e4,e4),e2) ),[0],$fot(e1)]]) ).
cnf(refute_20_21,plain,
( op(e4,e4) != e2
| e1 = e2 ),
inference(resolve,[$cnf( $equal(op(e4,e4),e1) )],[refute_20_7,refute_20_20]) ).
cnf(refute_20_22,plain,
( e1 = e2
| e3 = e2
| op(e4,e0) = e2
| op(e4,e2) = e2
| op(e4,e3) = e2 ),
inference(resolve,[$cnf( $equal(op(e4,e4),e2) )],[refute_20_19,refute_20_21]) ).
cnf(refute_20_23,plain,
e1 != e2,
inference(canonicalize,[],[normalize_20_6]) ).
cnf(refute_20_24,plain,
( e3 = e2
| op(e4,e0) = e2
| op(e4,e2) = e2
| op(e4,e3) = e2 ),
inference(resolve,[$cnf( $equal(e1,e2) )],[refute_20_22,refute_20_23]) ).
cnf(refute_20_25,plain,
e2 != e3,
inference(canonicalize,[],[normalize_20_7]) ).
cnf(refute_20_26,plain,
( e3 != e2
| e2 = e3 ),
inference(subst,[],[refute_20_5:[bind(X,$fot(e3)),bind(Y,$fot(e2))]]) ).
cnf(refute_20_27,plain,
e3 != e2,
inference(resolve,[$cnf( $equal(e2,e3) )],[refute_20_26,refute_20_25]) ).
cnf(refute_20_28,plain,
( op(e4,e0) = e2
| op(e4,e2) = e2
| op(e4,e3) = e2 ),
inference(resolve,[$cnf( $equal(e3,e2) )],[refute_20_24,refute_20_27]) ).
cnf(refute_20_29,plain,
op(e4,unit) = e4,
inference(canonicalize,[],[normalize_20_9]) ).
cnf(refute_20_30,plain,
op(e0,e4) != op(e4,e0),
inference(canonicalize,[],[normalize_20_11]) ).
cnf(refute_20_31,plain,
op(unit,e4) = e4,
inference(canonicalize,[],[normalize_20_12]) ).
cnf(refute_20_32,plain,
( unit = e0
| unit = e1
| unit = e2
| unit = e3
| unit = e4 ),
inference(canonicalize,[],[normalize_20_13]) ).
cnf(refute_20_33,plain,
( op(unit,e4) != e4
| unit != e1
| op(e1,e4) = e4 ),
introduced(tautology,[equality,[$cnf( $equal(op(unit,e4),e4) ),[0,0],$fot(e1)]]) ).
cnf(refute_20_34,plain,
( op(unit,e4) != e4
| op(e1,e4) = e4
| unit = e0
| unit = e2
| unit = e3
| unit = e4 ),
inference(resolve,[$cnf( $equal(unit,e1) )],[refute_20_32,refute_20_33]) ).
cnf(refute_20_35,plain,
( op(e1,e4) = e4
| unit = e0
| unit = e2
| unit = e3
| unit = e4 ),
inference(resolve,[$cnf( $equal(op(unit,e4),e4) )],[refute_20_31,refute_20_34]) ).
cnf(refute_20_36,plain,
e0 = op(op(e4,e4),e4),
inference(canonicalize,[],[normalize_20_14]) ).
cnf(refute_20_37,plain,
op(op(e4,e4),e4) = op(op(e4,e4),e4),
introduced(tautology,[refl,[$fot(op(op(e4,e4),e4))]]) ).
cnf(refute_20_38,plain,
( op(e4,e4) != e1
| op(op(e4,e4),e4) != op(op(e4,e4),e4)
| op(op(e4,e4),e4) = op(e1,e4) ),
introduced(tautology,[equality,[$cnf( $equal(op(op(e4,e4),e4),op(op(e4,e4),e4)) ),[1,0],$fot(e1)]]) ).
cnf(refute_20_39,plain,
( op(e4,e4) != e1
| op(op(e4,e4),e4) = op(e1,e4) ),
inference(resolve,[$cnf( $equal(op(op(e4,e4),e4),op(op(e4,e4),e4)) )],[refute_20_37,refute_20_38]) ).
cnf(refute_20_40,plain,
op(op(e4,e4),e4) = op(e1,e4),
inference(resolve,[$cnf( $equal(op(e4,e4),e1) )],[refute_20_7,refute_20_39]) ).
cnf(refute_20_41,plain,
( e0 != op(op(e4,e4),e4)
| op(op(e4,e4),e4) != op(e1,e4)
| e0 = op(e1,e4) ),
introduced(tautology,[equality,[$cnf( ~ $equal(e0,op(e1,e4)) ),[0],$fot(op(op(e4,e4),e4))]]) ).
cnf(refute_20_42,plain,
( e0 != op(op(e4,e4),e4)
| e0 = op(e1,e4) ),
inference(resolve,[$cnf( $equal(op(op(e4,e4),e4),op(e1,e4)) )],[refute_20_40,refute_20_41]) ).
cnf(refute_20_43,plain,
e0 = op(e1,e4),
inference(resolve,[$cnf( $equal(e0,op(op(e4,e4),e4)) )],[refute_20_36,refute_20_42]) ).
cnf(refute_20_44,plain,
( e0 != op(e1,e4)
| op(e1,e4) = e0 ),
inference(subst,[],[refute_20_5:[bind(X,$fot(e0)),bind(Y,$fot(op(e1,e4)))]]) ).
cnf(refute_20_45,plain,
op(e1,e4) = e0,
inference(resolve,[$cnf( $equal(e0,op(e1,e4)) )],[refute_20_43,refute_20_44]) ).
cnf(refute_20_46,plain,
( op(e1,e4) != e0
| op(e1,e4) != e4
| e0 = e4 ),
introduced(tautology,[equality,[$cnf( $equal(op(e1,e4),e4) ),[0],$fot(e0)]]) ).
cnf(refute_20_47,plain,
( op(e1,e4) != e4
| e0 = e4 ),
inference(resolve,[$cnf( $equal(op(e1,e4),e0) )],[refute_20_45,refute_20_46]) ).
cnf(refute_20_48,plain,
( e0 = e4
| unit = e0
| unit = e2
| unit = e3
| unit = e4 ),
inference(resolve,[$cnf( $equal(op(e1,e4),e4) )],[refute_20_35,refute_20_47]) ).
cnf(refute_20_49,plain,
e0 != e4,
inference(canonicalize,[],[normalize_20_15]) ).
cnf(refute_20_50,plain,
( unit = e0
| unit = e2
| unit = e3
| unit = e4 ),
inference(resolve,[$cnf( $equal(e0,e4) )],[refute_20_48,refute_20_49]) ).
cnf(refute_20_51,plain,
( op(unit,e4) != e4
| unit != e3
| op(e3,e4) = e4 ),
introduced(tautology,[equality,[$cnf( $equal(op(unit,e4),e4) ),[0,0],$fot(e3)]]) ).
cnf(refute_20_52,plain,
( op(unit,e4) != e4
| op(e3,e4) = e4
| unit = e0
| unit = e2
| unit = e4 ),
inference(resolve,[$cnf( $equal(unit,e3) )],[refute_20_50,refute_20_51]) ).
cnf(refute_20_53,plain,
( op(e3,e4) = e4
| unit = e0
| unit = e2
| unit = e4 ),
inference(resolve,[$cnf( $equal(op(unit,e4),e4) )],[refute_20_31,refute_20_52]) ).
cnf(refute_20_54,plain,
e2 = op(op(e4,op(e4,e4)),e4),
inference(canonicalize,[],[normalize_20_16]) ).
cnf(refute_20_55,plain,
op(op(e4,op(e4,e4)),e4) = op(op(e4,op(e4,e4)),e4),
introduced(tautology,[refl,[$fot(op(op(e4,op(e4,e4)),e4))]]) ).
cnf(refute_20_56,plain,
( op(e4,op(e4,e4)) != op(e4,e1)
| op(op(e4,op(e4,e4)),e4) != op(op(e4,op(e4,e4)),e4)
| op(op(e4,op(e4,e4)),e4) = op(op(e4,e1),e4) ),
introduced(tautology,[equality,[$cnf( $equal(op(op(e4,op(e4,e4)),e4),op(op(e4,op(e4,e4)),e4)) ),[1,0],$fot(op(e4,e1))]]) ).
cnf(refute_20_57,plain,
( op(e4,op(e4,e4)) != op(e4,e1)
| op(op(e4,op(e4,e4)),e4) = op(op(e4,e1),e4) ),
inference(resolve,[$cnf( $equal(op(op(e4,op(e4,e4)),e4),op(op(e4,op(e4,e4)),e4)) )],[refute_20_55,refute_20_56]) ).
cnf(refute_20_58,plain,
op(op(e4,op(e4,e4)),e4) = op(op(e4,e1),e4),
inference(resolve,[$cnf( $equal(op(e4,op(e4,e4)),op(e4,e1)) )],[refute_20_11,refute_20_57]) ).
cnf(refute_20_59,plain,
( e2 != op(op(e4,op(e4,e4)),e4)
| op(op(e4,op(e4,e4)),e4) != op(op(e4,e1),e4)
| e2 = op(op(e4,e1),e4) ),
introduced(tautology,[equality,[$cnf( ~ $equal(e2,op(op(e4,e1),e4)) ),[0],$fot(op(op(e4,op(e4,e4)),e4))]]) ).
cnf(refute_20_60,plain,
( e2 != op(op(e4,op(e4,e4)),e4)
| e2 = op(op(e4,e1),e4) ),
inference(resolve,[$cnf( $equal(op(op(e4,op(e4,e4)),e4),op(op(e4,e1),e4)) )],[refute_20_58,refute_20_59]) ).
cnf(refute_20_61,plain,
e2 = op(op(e4,e1),e4),
inference(resolve,[$cnf( $equal(e2,op(op(e4,op(e4,e4)),e4)) )],[refute_20_54,refute_20_60]) ).
cnf(refute_20_62,plain,
op(op(e4,e1),e4) = op(op(e4,e1),e4),
introduced(tautology,[refl,[$fot(op(op(e4,e1),e4))]]) ).
cnf(refute_20_63,plain,
( op(e4,e1) != e3
| op(op(e4,e1),e4) != op(op(e4,e1),e4)
| op(op(e4,e1),e4) = op(e3,e4) ),
introduced(tautology,[equality,[$cnf( $equal(op(op(e4,e1),e4),op(op(e4,e1),e4)) ),[1,0],$fot(e3)]]) ).
cnf(refute_20_64,plain,
( op(e4,e1) != e3
| op(op(e4,e1),e4) = op(e3,e4) ),
inference(resolve,[$cnf( $equal(op(op(e4,e1),e4),op(op(e4,e1),e4)) )],[refute_20_62,refute_20_63]) ).
cnf(refute_20_65,plain,
op(op(e4,e1),e4) = op(e3,e4),
inference(resolve,[$cnf( $equal(op(e4,e1),e3) )],[refute_20_16,refute_20_64]) ).
cnf(refute_20_66,plain,
( e2 != op(op(e4,e1),e4)
| op(op(e4,e1),e4) != op(e3,e4)
| e2 = op(e3,e4) ),
introduced(tautology,[equality,[$cnf( ~ $equal(e2,op(e3,e4)) ),[0],$fot(op(op(e4,e1),e4))]]) ).
cnf(refute_20_67,plain,
( e2 != op(op(e4,e1),e4)
| e2 = op(e3,e4) ),
inference(resolve,[$cnf( $equal(op(op(e4,e1),e4),op(e3,e4)) )],[refute_20_65,refute_20_66]) ).
cnf(refute_20_68,plain,
e2 = op(e3,e4),
inference(resolve,[$cnf( $equal(e2,op(op(e4,e1),e4)) )],[refute_20_61,refute_20_67]) ).
cnf(refute_20_69,plain,
( e2 != op(e3,e4)
| op(e3,e4) = e2 ),
inference(subst,[],[refute_20_5:[bind(X,$fot(e2)),bind(Y,$fot(op(e3,e4)))]]) ).
cnf(refute_20_70,plain,
op(e3,e4) = e2,
inference(resolve,[$cnf( $equal(e2,op(e3,e4)) )],[refute_20_68,refute_20_69]) ).
cnf(refute_20_71,plain,
( op(e3,e4) != e2
| op(e3,e4) != e4
| e2 = e4 ),
introduced(tautology,[equality,[$cnf( $equal(op(e3,e4),e4) ),[0],$fot(e2)]]) ).
cnf(refute_20_72,plain,
( op(e3,e4) != e4
| e2 = e4 ),
inference(resolve,[$cnf( $equal(op(e3,e4),e2) )],[refute_20_70,refute_20_71]) ).
cnf(refute_20_73,plain,
( e2 = e4
| unit = e0
| unit = e2
| unit = e4 ),
inference(resolve,[$cnf( $equal(op(e3,e4),e4) )],[refute_20_53,refute_20_72]) ).
cnf(refute_20_74,plain,
e2 != e4,
inference(canonicalize,[],[normalize_20_17]) ).
cnf(refute_20_75,plain,
( unit = e0
| unit = e2
| unit = e4 ),
inference(resolve,[$cnf( $equal(e2,e4) )],[refute_20_73,refute_20_74]) ).
cnf(refute_20_76,plain,
( op(unit,e4) != e4
| unit != e4
| op(e4,e4) = e4 ),
introduced(tautology,[equality,[$cnf( $equal(op(unit,e4),e4) ),[0,0],$fot(e4)]]) ).
cnf(refute_20_77,plain,
( op(unit,e4) != e4
| op(e4,e4) = e4
| unit = e0
| unit = e2 ),
inference(resolve,[$cnf( $equal(unit,e4) )],[refute_20_75,refute_20_76]) ).
cnf(refute_20_78,plain,
( op(e4,e4) = e4
| unit = e0
| unit = e2 ),
inference(resolve,[$cnf( $equal(op(unit,e4),e4) )],[refute_20_31,refute_20_77]) ).
cnf(refute_20_79,plain,
( op(e4,e4) != e1
| op(e4,e4) != e4
| e1 = e4 ),
introduced(tautology,[equality,[$cnf( $equal(op(e4,e4),e4) ),[0],$fot(e1)]]) ).
cnf(refute_20_80,plain,
( op(e4,e4) != e4
| e1 = e4 ),
inference(resolve,[$cnf( $equal(op(e4,e4),e1) )],[refute_20_7,refute_20_79]) ).
cnf(refute_20_81,plain,
( e1 = e4
| unit = e0
| unit = e2 ),
inference(resolve,[$cnf( $equal(op(e4,e4),e4) )],[refute_20_78,refute_20_80]) ).
cnf(refute_20_82,plain,
e1 != e4,
inference(canonicalize,[],[normalize_20_18]) ).
cnf(refute_20_83,plain,
( unit = e0
| unit = e2 ),
inference(resolve,[$cnf( $equal(e1,e4) )],[refute_20_81,refute_20_82]) ).
cnf(refute_20_84,plain,
( op(unit,e4) != e4
| unit != e0
| op(e0,e4) = e4 ),
introduced(tautology,[equality,[$cnf( $equal(op(unit,e4),e4) ),[0,0],$fot(e0)]]) ).
cnf(refute_20_85,plain,
( op(unit,e4) != e4
| op(e0,e4) = e4
| unit = e2 ),
inference(resolve,[$cnf( $equal(unit,e0) )],[refute_20_83,refute_20_84]) ).
cnf(refute_20_86,plain,
( op(e0,e4) = e4
| unit = e2 ),
inference(resolve,[$cnf( $equal(op(unit,e4),e4) )],[refute_20_31,refute_20_85]) ).
cnf(refute_20_87,plain,
( e4 != op(e4,e0)
| op(e0,e4) != e4
| op(e0,e4) = op(e4,e0) ),
introduced(tautology,[equality,[$cnf( $equal(op(e0,e4),e4) ),[1],$fot(op(e4,e0))]]) ).
cnf(refute_20_88,plain,
( e4 != op(e4,e0)
| op(e0,e4) = op(e4,e0)
| unit = e2 ),
inference(resolve,[$cnf( $equal(op(e0,e4),e4) )],[refute_20_86,refute_20_87]) ).
cnf(refute_20_89,plain,
( e4 != op(e4,e0)
| unit = e2 ),
inference(resolve,[$cnf( $equal(op(e0,e4),op(e4,e0)) )],[refute_20_88,refute_20_30]) ).
cnf(refute_20_90,plain,
( op(e4,unit) != e4
| unit != e0
| op(e4,e0) = e4 ),
introduced(tautology,[equality,[$cnf( $equal(op(e4,unit),e4) ),[0,1],$fot(e0)]]) ).
cnf(refute_20_91,plain,
( op(e4,unit) != e4
| op(e4,e0) = e4
| unit = e2 ),
inference(resolve,[$cnf( $equal(unit,e0) )],[refute_20_83,refute_20_90]) ).
cnf(refute_20_92,plain,
( op(e4,e0) = e4
| unit = e2 ),
inference(resolve,[$cnf( $equal(op(e4,unit),e4) )],[refute_20_29,refute_20_91]) ).
cnf(refute_20_93,plain,
( e4 != e4
| op(e4,e0) != e4
| e4 = op(e4,e0) ),
introduced(tautology,[equality,[$cnf( ~ $equal(e4,op(e4,e0)) ),[1],$fot(e4)]]) ).
cnf(refute_20_94,plain,
( e4 != e4
| e4 = op(e4,e0)
| unit = e2 ),
inference(resolve,[$cnf( $equal(op(e4,e0),e4) )],[refute_20_92,refute_20_93]) ).
cnf(refute_20_95,plain,
( e4 != e4
| unit = e2 ),
inference(resolve,[$cnf( $equal(e4,op(e4,e0)) )],[refute_20_94,refute_20_89]) ).
cnf(refute_20_96,plain,
e4 = e4,
introduced(tautology,[refl,[$fot(e4)]]) ).
cnf(refute_20_97,plain,
unit = e2,
inference(resolve,[$cnf( $equal(e4,e4) )],[refute_20_96,refute_20_95]) ).
cnf(refute_20_98,plain,
op(e4,unit) = op(e4,unit),
introduced(tautology,[refl,[$fot(op(e4,unit))]]) ).
cnf(refute_20_99,plain,
( op(e4,unit) != op(e4,unit)
| unit != e2
| op(e4,unit) = op(e4,e2) ),
introduced(tautology,[equality,[$cnf( $equal(op(e4,unit),op(e4,unit)) ),[1,1],$fot(e2)]]) ).
cnf(refute_20_100,plain,
( unit != e2
| op(e4,unit) = op(e4,e2) ),
inference(resolve,[$cnf( $equal(op(e4,unit),op(e4,unit)) )],[refute_20_98,refute_20_99]) ).
cnf(refute_20_101,plain,
op(e4,unit) = op(e4,e2),
inference(resolve,[$cnf( $equal(unit,e2) )],[refute_20_97,refute_20_100]) ).
cnf(refute_20_102,plain,
( op(e4,unit) != e4
| op(e4,unit) != op(e4,e2)
| op(e4,e2) = e4 ),
introduced(tautology,[equality,[$cnf( $equal(op(e4,unit),e4) ),[0],$fot(op(e4,e2))]]) ).
cnf(refute_20_103,plain,
( op(e4,unit) != e4
| op(e4,e2) = e4 ),
inference(resolve,[$cnf( $equal(op(e4,unit),op(e4,e2)) )],[refute_20_101,refute_20_102]) ).
cnf(refute_20_104,plain,
op(e4,e2) = e4,
inference(resolve,[$cnf( $equal(op(e4,unit),e4) )],[refute_20_29,refute_20_103]) ).
cnf(refute_20_105,plain,
( op(e4,e2) != e2
| op(e4,e2) != e4
| e4 = e2 ),
introduced(tautology,[equality,[$cnf( $equal(op(e4,e2),e2) ),[0],$fot(e4)]]) ).
cnf(refute_20_106,plain,
( op(e4,e2) != e2
| e4 = e2 ),
inference(resolve,[$cnf( $equal(op(e4,e2),e4) )],[refute_20_104,refute_20_105]) ).
cnf(refute_20_107,plain,
( e4 = e2
| op(e4,e0) = e2
| op(e4,e3) = e2 ),
inference(resolve,[$cnf( $equal(op(e4,e2),e2) )],[refute_20_28,refute_20_106]) ).
cnf(refute_20_108,plain,
( op(e4,e0) = e0
| op(e4,e1) = e0
| op(e4,e2) = e0
| op(e4,e3) = e0
| op(e4,e4) = e0 ),
inference(canonicalize,[],[normalize_20_19]) ).
cnf(refute_20_109,plain,
( op(e4,e1) != e0
| op(e4,e1) != e3
| e3 = e0 ),
introduced(tautology,[equality,[$cnf( $equal(op(e4,e1),e0) ),[0],$fot(e3)]]) ).
cnf(refute_20_110,plain,
( op(e4,e1) != e0
| e3 = e0 ),
inference(resolve,[$cnf( $equal(op(e4,e1),e3) )],[refute_20_16,refute_20_109]) ).
cnf(refute_20_111,plain,
( e3 = e0
| op(e4,e0) = e0
| op(e4,e2) = e0
| op(e4,e3) = e0
| op(e4,e4) = e0 ),
inference(resolve,[$cnf( $equal(op(e4,e1),e0) )],[refute_20_108,refute_20_110]) ).
cnf(refute_20_112,plain,
( op(e4,e4) != e0
| op(e4,e4) != e1
| e1 = e0 ),
introduced(tautology,[equality,[$cnf( $equal(op(e4,e4),e0) ),[0],$fot(e1)]]) ).
cnf(refute_20_113,plain,
( op(e4,e4) != e0
| e1 = e0 ),
inference(resolve,[$cnf( $equal(op(e4,e4),e1) )],[refute_20_7,refute_20_112]) ).
cnf(refute_20_114,plain,
( e1 = e0
| e3 = e0
| op(e4,e0) = e0
| op(e4,e2) = e0
| op(e4,e3) = e0 ),
inference(resolve,[$cnf( $equal(op(e4,e4),e0) )],[refute_20_111,refute_20_113]) ).
cnf(refute_20_115,plain,
e0 != e1,
inference(canonicalize,[],[normalize_20_20]) ).
cnf(refute_20_116,plain,
( e1 != e0
| e0 = e1 ),
inference(subst,[],[refute_20_5:[bind(X,$fot(e1)),bind(Y,$fot(e0))]]) ).
cnf(refute_20_117,plain,
e1 != e0,
inference(resolve,[$cnf( $equal(e0,e1) )],[refute_20_116,refute_20_115]) ).
cnf(refute_20_118,plain,
( e3 = e0
| op(e4,e0) = e0
| op(e4,e2) = e0
| op(e4,e3) = e0 ),
inference(resolve,[$cnf( $equal(e1,e0) )],[refute_20_114,refute_20_117]) ).
cnf(refute_20_119,plain,
e0 != e3,
inference(canonicalize,[],[normalize_20_21]) ).
cnf(refute_20_120,plain,
( e3 != e0
| e0 = e3 ),
inference(subst,[],[refute_20_5:[bind(X,$fot(e3)),bind(Y,$fot(e0))]]) ).
cnf(refute_20_121,plain,
e3 != e0,
inference(resolve,[$cnf( $equal(e0,e3) )],[refute_20_120,refute_20_119]) ).
cnf(refute_20_122,plain,
( op(e4,e0) = e0
| op(e4,e2) = e0
| op(e4,e3) = e0 ),
inference(resolve,[$cnf( $equal(e3,e0) )],[refute_20_118,refute_20_121]) ).
cnf(refute_20_123,plain,
( op(e4,e2) != e0
| op(e4,e2) != e4
| e4 = e0 ),
introduced(tautology,[equality,[$cnf( $equal(op(e4,e2),e0) ),[0],$fot(e4)]]) ).
cnf(refute_20_124,plain,
( op(e4,e2) != e0
| e4 = e0 ),
inference(resolve,[$cnf( $equal(op(e4,e2),e4) )],[refute_20_104,refute_20_123]) ).
cnf(refute_20_125,plain,
( e4 = e0
| op(e4,e0) = e0
| op(e4,e3) = e0 ),
inference(resolve,[$cnf( $equal(op(e4,e2),e0) )],[refute_20_122,refute_20_124]) ).
cnf(refute_20_126,plain,
( e4 != e0
| e0 = e4 ),
inference(subst,[],[refute_20_5:[bind(X,$fot(e4)),bind(Y,$fot(e0))]]) ).
cnf(refute_20_127,plain,
e4 != e0,
inference(resolve,[$cnf( $equal(e0,e4) )],[refute_20_126,refute_20_49]) ).
cnf(refute_20_128,plain,
( op(e4,e0) = e0
| op(e4,e3) = e0 ),
inference(resolve,[$cnf( $equal(e4,e0) )],[refute_20_125,refute_20_127]) ).
cnf(refute_20_129,plain,
op(e2,e0) != op(e4,e0),
inference(canonicalize,[],[normalize_20_23]) ).
cnf(refute_20_130,plain,
op(unit,e0) = e0,
inference(canonicalize,[],[normalize_20_24]) ).
cnf(refute_20_131,plain,
op(unit,e0) = op(unit,e0),
introduced(tautology,[refl,[$fot(op(unit,e0))]]) ).
cnf(refute_20_132,plain,
( op(unit,e0) != op(unit,e0)
| unit != e2
| op(unit,e0) = op(e2,e0) ),
introduced(tautology,[equality,[$cnf( $equal(op(unit,e0),op(unit,e0)) ),[1,0],$fot(e2)]]) ).
cnf(refute_20_133,plain,
( unit != e2
| op(unit,e0) = op(e2,e0) ),
inference(resolve,[$cnf( $equal(op(unit,e0),op(unit,e0)) )],[refute_20_131,refute_20_132]) ).
cnf(refute_20_134,plain,
op(unit,e0) = op(e2,e0),
inference(resolve,[$cnf( $equal(unit,e2) )],[refute_20_97,refute_20_133]) ).
cnf(refute_20_135,plain,
( op(unit,e0) != e0
| op(unit,e0) != op(e2,e0)
| op(e2,e0) = e0 ),
introduced(tautology,[equality,[$cnf( $equal(op(unit,e0),e0) ),[0],$fot(op(e2,e0))]]) ).
cnf(refute_20_136,plain,
( op(unit,e0) != e0
| op(e2,e0) = e0 ),
inference(resolve,[$cnf( $equal(op(unit,e0),op(e2,e0)) )],[refute_20_134,refute_20_135]) ).
cnf(refute_20_137,plain,
op(e2,e0) = e0,
inference(resolve,[$cnf( $equal(op(unit,e0),e0) )],[refute_20_130,refute_20_136]) ).
cnf(refute_20_138,plain,
( e0 != op(e4,e0)
| op(e2,e0) != e0
| op(e2,e0) = op(e4,e0) ),
introduced(tautology,[equality,[$cnf( $equal(op(e2,e0),e0) ),[1],$fot(op(e4,e0))]]) ).
cnf(refute_20_139,plain,
( e0 != op(e4,e0)
| op(e2,e0) = op(e4,e0) ),
inference(resolve,[$cnf( $equal(op(e2,e0),e0) )],[refute_20_137,refute_20_138]) ).
cnf(refute_20_140,plain,
e0 != op(e4,e0),
inference(resolve,[$cnf( $equal(op(e2,e0),op(e4,e0)) )],[refute_20_139,refute_20_129]) ).
cnf(refute_20_141,plain,
( op(e4,e0) != e0
| e0 = op(e4,e0) ),
inference(subst,[],[refute_20_5:[bind(X,$fot(op(e4,e0))),bind(Y,$fot(e0))]]) ).
cnf(refute_20_142,plain,
op(e4,e0) != e0,
inference(resolve,[$cnf( $equal(e0,op(e4,e0)) )],[refute_20_141,refute_20_140]) ).
cnf(refute_20_143,plain,
op(e4,e3) = e0,
inference(resolve,[$cnf( $equal(op(e4,e0),e0) )],[refute_20_128,refute_20_142]) ).
cnf(refute_20_144,plain,
( op(e4,e3) != e0
| op(e4,e3) != e2
| e0 = e2 ),
introduced(tautology,[equality,[$cnf( $equal(op(e4,e3),e2) ),[0],$fot(e0)]]) ).
cnf(refute_20_145,plain,
( op(e4,e3) != e2
| e0 = e2 ),
inference(resolve,[$cnf( $equal(op(e4,e3),e0) )],[refute_20_143,refute_20_144]) ).
cnf(refute_20_146,plain,
( e0 = e2
| e4 = e2
| op(e4,e0) = e2 ),
inference(resolve,[$cnf( $equal(op(e4,e3),e2) )],[refute_20_107,refute_20_145]) ).
cnf(refute_20_147,plain,
e0 != e2,
inference(canonicalize,[],[normalize_20_25]) ).
cnf(refute_20_148,plain,
( e4 = e2
| op(e4,e0) = e2 ),
inference(resolve,[$cnf( $equal(e0,e2) )],[refute_20_146,refute_20_147]) ).
cnf(refute_20_149,plain,
( e4 != e2
| e2 = e4 ),
inference(subst,[],[refute_20_5:[bind(X,$fot(e4)),bind(Y,$fot(e2))]]) ).
cnf(refute_20_150,plain,
e4 != e2,
inference(resolve,[$cnf( $equal(e2,e4) )],[refute_20_149,refute_20_74]) ).
cnf(refute_20_151,plain,
op(e4,e0) = e2,
inference(resolve,[$cnf( $equal(e4,e2) )],[refute_20_148,refute_20_150]) ).
cnf(refute_20_152,plain,
op(op(e4,e0),e0) = e4,
inference(canonicalize,[],[normalize_20_26]) ).
cnf(refute_20_153,plain,
op(op(e4,e0),e0) = op(op(e4,e0),e0),
introduced(tautology,[refl,[$fot(op(op(e4,e0),e0))]]) ).
cnf(refute_20_154,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_20_155,plain,
( op(e4,e0) != e2
| op(op(e4,e0),e0) = op(e2,e0) ),
inference(resolve,[$cnf( $equal(op(op(e4,e0),e0),op(op(e4,e0),e0)) )],[refute_20_153,refute_20_154]) ).
cnf(refute_20_156,plain,
op(op(e4,e0),e0) = op(e2,e0),
inference(resolve,[$cnf( $equal(op(e4,e0),e2) )],[refute_20_151,refute_20_155]) ).
cnf(refute_20_157,plain,
( Y != X
| Y != Z
| X = Z ),
introduced(tautology,[equality,[$cnf( $equal(Y,Z) ),[0],$fot(X)]]) ).
cnf(refute_20_158,plain,
( X != Y
| Y != Z
| X = Z ),
inference(resolve,[$cnf( $equal(Y,X) )],[refute_20_5,refute_20_157]) ).
cnf(refute_20_159,plain,
( op(e2,e0) != e0
| op(op(e4,e0),e0) != op(e2,e0)
| op(op(e4,e0),e0) = e0 ),
inference(subst,[],[refute_20_158:[bind(X,$fot(op(op(e4,e0),e0))),bind(Y,$fot(op(e2,e0))),bind(Z,$fot(e0))]]) ).
cnf(refute_20_160,plain,
( op(e2,e0) != e0
| op(op(e4,e0),e0) = e0 ),
inference(resolve,[$cnf( $equal(op(op(e4,e0),e0),op(e2,e0)) )],[refute_20_156,refute_20_159]) ).
cnf(refute_20_161,plain,
op(op(e4,e0),e0) = e0,
inference(resolve,[$cnf( $equal(op(e2,e0),e0) )],[refute_20_137,refute_20_160]) ).
cnf(refute_20_162,plain,
( op(op(e4,e0),e0) != e0
| op(op(e4,e0),e0) != e4
| e0 = e4 ),
introduced(tautology,[equality,[$cnf( $equal(op(op(e4,e0),e0),e4) ),[0],$fot(e0)]]) ).
cnf(refute_20_163,plain,
( op(op(e4,e0),e0) != e4
| e0 = e4 ),
inference(resolve,[$cnf( $equal(op(op(e4,e0),e0),e0) )],[refute_20_161,refute_20_162]) ).
cnf(refute_20_164,plain,
e0 = e4,
inference(resolve,[$cnf( $equal(op(op(e4,e0),e0),e4) )],[refute_20_152,refute_20_163]) ).
cnf(refute_20_165,plain,
( e0 != e4
| e4 = e0 ),
inference(subst,[],[refute_20_5:[bind(X,$fot(e0)),bind(Y,$fot(e4))]]) ).
cnf(refute_20_166,plain,
e4 = e0,
inference(resolve,[$cnf( $equal(e0,e4) )],[refute_20_164,refute_20_165]) ).
cnf(refute_20_167,plain,
op(e4,e0) = op(e4,e0),
introduced(tautology,[refl,[$fot(op(e4,e0))]]) ).
cnf(refute_20_168,plain,
( e4 != e0
| op(e4,e0) != op(e4,e0)
| op(e4,e0) = op(e0,e0) ),
introduced(tautology,[equality,[$cnf( $equal(op(e4,e0),op(e4,e0)) ),[1,0],$fot(e0)]]) ).
cnf(refute_20_169,plain,
( e4 != e0
| op(e4,e0) = op(e0,e0) ),
inference(resolve,[$cnf( $equal(op(e4,e0),op(e4,e0)) )],[refute_20_167,refute_20_168]) ).
cnf(refute_20_170,plain,
op(e4,e0) = op(e0,e0),
inference(resolve,[$cnf( $equal(e4,e0) )],[refute_20_166,refute_20_169]) ).
cnf(refute_20_171,plain,
( op(e4,e0) != e2
| op(e4,e0) != op(e0,e0)
| op(e0,e0) = e2 ),
introduced(tautology,[equality,[$cnf( $equal(op(e4,e0),e2) ),[0],$fot(op(e0,e0))]]) ).
cnf(refute_20_172,plain,
( op(e4,e0) != e2
| op(e0,e0) = e2 ),
inference(resolve,[$cnf( $equal(op(e4,e0),op(e0,e0)) )],[refute_20_170,refute_20_171]) ).
cnf(refute_20_173,plain,
op(e0,e0) = e2,
inference(resolve,[$cnf( $equal(op(e4,e0),e2) )],[refute_20_151,refute_20_172]) ).
cnf(refute_20_174,plain,
op(e0,e4) = op(e0,e4),
introduced(tautology,[refl,[$fot(op(e0,e4))]]) ).
cnf(refute_20_175,plain,
( e4 != e0
| op(e0,e4) != op(e0,e4)
| op(e0,e4) = op(e0,e0) ),
introduced(tautology,[equality,[$cnf( $equal(op(e0,e4),op(e0,e4)) ),[1,1],$fot(e0)]]) ).
cnf(refute_20_176,plain,
( e4 != e0
| op(e0,e4) = op(e0,e0) ),
inference(resolve,[$cnf( $equal(op(e0,e4),op(e0,e4)) )],[refute_20_174,refute_20_175]) ).
cnf(refute_20_177,plain,
op(e0,e4) = op(e0,e0),
inference(resolve,[$cnf( $equal(e4,e0) )],[refute_20_166,refute_20_176]) ).
cnf(refute_20_178,plain,
op(e4,e4) = op(e4,e4),
introduced(tautology,[refl,[$fot(op(e4,e4))]]) ).
cnf(refute_20_179,plain,
( e4 != e0
| op(e4,e4) != op(e4,e4)
| op(e4,e4) = op(e0,e4) ),
introduced(tautology,[equality,[$cnf( $equal(op(e4,e4),op(e4,e4)) ),[1,0],$fot(e0)]]) ).
cnf(refute_20_180,plain,
( e4 != e0
| op(e4,e4) = op(e0,e4) ),
inference(resolve,[$cnf( $equal(op(e4,e4),op(e4,e4)) )],[refute_20_178,refute_20_179]) ).
cnf(refute_20_181,plain,
op(e4,e4) = op(e0,e4),
inference(resolve,[$cnf( $equal(e4,e0) )],[refute_20_166,refute_20_180]) ).
cnf(refute_20_182,plain,
( op(e0,e4) != op(e0,e0)
| op(e4,e4) != op(e0,e4)
| op(e4,e4) = op(e0,e0) ),
inference(subst,[],[refute_20_158:[bind(X,$fot(op(e4,e4))),bind(Y,$fot(op(e0,e4))),bind(Z,$fot(op(e0,e0)))]]) ).
cnf(refute_20_183,plain,
( op(e0,e4) != op(e0,e0)
| op(e4,e4) = op(e0,e0) ),
inference(resolve,[$cnf( $equal(op(e4,e4),op(e0,e4)) )],[refute_20_181,refute_20_182]) ).
cnf(refute_20_184,plain,
op(e4,e4) = op(e0,e0),
inference(resolve,[$cnf( $equal(op(e0,e4),op(e0,e0)) )],[refute_20_177,refute_20_183]) ).
cnf(refute_20_185,plain,
( op(e0,e0) != e2
| op(e4,e4) != op(e0,e0)
| op(e4,e4) = e2 ),
inference(subst,[],[refute_20_158:[bind(X,$fot(op(e4,e4))),bind(Y,$fot(op(e0,e0))),bind(Z,$fot(e2))]]) ).
cnf(refute_20_186,plain,
( op(e0,e0) != e2
| op(e4,e4) = e2 ),
inference(resolve,[$cnf( $equal(op(e4,e4),op(e0,e0)) )],[refute_20_184,refute_20_185]) ).
cnf(refute_20_187,plain,
op(e4,e4) = e2,
inference(resolve,[$cnf( $equal(op(e0,e0),e2) )],[refute_20_173,refute_20_186]) ).
cnf(refute_20_188,plain,
( e1 != op(e4,e4)
| op(e4,e4) != e2
| e1 = e2 ),
introduced(tautology,[equality,[$cnf( ~ $equal(e1,e2) ),[0],$fot(op(e4,e4))]]) ).
cnf(refute_20_189,plain,
( e1 != op(e4,e4)
| e1 = e2 ),
inference(resolve,[$cnf( $equal(op(e4,e4),e2) )],[refute_20_187,refute_20_188]) ).
cnf(refute_20_190,plain,
e1 = e2,
inference(resolve,[$cnf( $equal(e1,op(e4,e4)) )],[refute_20_0,refute_20_189]) ).
cnf(refute_20_191,plain,
op(e4,e3) = op(e4,e3),
introduced(tautology,[refl,[$fot(op(e4,e3))]]) ).
cnf(refute_20_192,plain,
( e4 != e0
| op(e4,e3) != op(e4,e3)
| op(e4,e3) = op(e0,e3) ),
introduced(tautology,[equality,[$cnf( $equal(op(e4,e3),op(e4,e3)) ),[1,0],$fot(e0)]]) ).
cnf(refute_20_193,plain,
( e4 != e0
| op(e4,e3) = op(e0,e3) ),
inference(resolve,[$cnf( $equal(op(e4,e3),op(e4,e3)) )],[refute_20_191,refute_20_192]) ).
cnf(refute_20_194,plain,
op(e4,e3) = op(e0,e3),
inference(resolve,[$cnf( $equal(e4,e0) )],[refute_20_166,refute_20_193]) ).
cnf(refute_20_195,plain,
( op(e4,e3) != e0
| op(e4,e3) != op(e0,e3)
| op(e0,e3) = e0 ),
introduced(tautology,[equality,[$cnf( $equal(op(e4,e3),e0) ),[0],$fot(op(e0,e3))]]) ).
cnf(refute_20_196,plain,
( op(e4,e3) != e0
| op(e0,e3) = e0 ),
inference(resolve,[$cnf( $equal(op(e4,e3),op(e0,e3)) )],[refute_20_194,refute_20_195]) ).
cnf(refute_20_197,plain,
op(e0,e3) = e0,
inference(resolve,[$cnf( $equal(op(e4,e3),e0) )],[refute_20_143,refute_20_196]) ).
cnf(refute_20_198,plain,
( e1 != e2
| e2 = e1 ),
inference(subst,[],[refute_20_5:[bind(X,$fot(e1)),bind(Y,$fot(e2))]]) ).
cnf(refute_20_199,plain,
e2 = e1,
inference(resolve,[$cnf( $equal(e1,e2) )],[refute_20_190,refute_20_198]) ).
cnf(refute_20_200,plain,
( e2 != e1
| op(e0,e0) != e2
| op(e0,e0) = e1 ),
introduced(tautology,[equality,[$cnf( $equal(op(e0,e0),e2) ),[1],$fot(e1)]]) ).
cnf(refute_20_201,plain,
( op(e0,e0) != e2
| op(e0,e0) = e1 ),
inference(resolve,[$cnf( $equal(e2,e1) )],[refute_20_199,refute_20_200]) ).
cnf(refute_20_202,plain,
op(e0,e0) = e1,
inference(resolve,[$cnf( $equal(op(e0,e0),e2) )],[refute_20_173,refute_20_201]) ).
cnf(refute_20_203,plain,
op(e0,unit) = e0,
inference(canonicalize,[],[normalize_20_27]) ).
cnf(refute_20_204,plain,
op(e0,unit) = op(e0,unit),
introduced(tautology,[refl,[$fot(op(e0,unit))]]) ).
cnf(refute_20_205,plain,
( op(e0,unit) != op(e0,unit)
| unit != e2
| op(e0,unit) = op(e0,e2) ),
introduced(tautology,[equality,[$cnf( $equal(op(e0,unit),op(e0,unit)) ),[1,1],$fot(e2)]]) ).
cnf(refute_20_206,plain,
( unit != e2
| op(e0,unit) = op(e0,e2) ),
inference(resolve,[$cnf( $equal(op(e0,unit),op(e0,unit)) )],[refute_20_204,refute_20_205]) ).
cnf(refute_20_207,plain,
op(e0,unit) = op(e0,e2),
inference(resolve,[$cnf( $equal(unit,e2) )],[refute_20_97,refute_20_206]) ).
cnf(refute_20_208,plain,
( op(e0,unit) != e0
| op(e0,unit) != op(e0,e2)
| op(e0,e2) = e0 ),
introduced(tautology,[equality,[$cnf( $equal(op(e0,unit),e0) ),[0],$fot(op(e0,e2))]]) ).
cnf(refute_20_209,plain,
( op(e0,unit) != e0
| op(e0,e2) = e0 ),
inference(resolve,[$cnf( $equal(op(e0,unit),op(e0,e2)) )],[refute_20_207,refute_20_208]) ).
cnf(refute_20_210,plain,
op(e0,e2) = e0,
inference(resolve,[$cnf( $equal(op(e0,unit),e0) )],[refute_20_203,refute_20_209]) ).
cnf(refute_20_211,plain,
op(e0,e2) = op(e0,e2),
introduced(tautology,[refl,[$fot(op(e0,e2))]]) ).
cnf(refute_20_212,plain,
( e2 != e1
| op(e0,e2) != op(e0,e2)
| op(e0,e2) = op(e0,e1) ),
introduced(tautology,[equality,[$cnf( $equal(op(e0,e2),op(e0,e2)) ),[1,1],$fot(e1)]]) ).
cnf(refute_20_213,plain,
( e2 != e1
| op(e0,e2) = op(e0,e1) ),
inference(resolve,[$cnf( $equal(op(e0,e2),op(e0,e2)) )],[refute_20_211,refute_20_212]) ).
cnf(refute_20_214,plain,
op(e0,e2) = op(e0,e1),
inference(resolve,[$cnf( $equal(e2,e1) )],[refute_20_199,refute_20_213]) ).
cnf(refute_20_215,plain,
( op(e0,e2) != e0
| op(e0,e2) != op(e0,e1)
| op(e0,e1) = e0 ),
introduced(tautology,[equality,[$cnf( $equal(op(e0,e2),e0) ),[0],$fot(op(e0,e1))]]) ).
cnf(refute_20_216,plain,
( op(e0,e2) != e0
| op(e0,e1) = e0 ),
inference(resolve,[$cnf( $equal(op(e0,e2),op(e0,e1)) )],[refute_20_214,refute_20_215]) ).
cnf(refute_20_217,plain,
op(e0,e1) = e0,
inference(resolve,[$cnf( $equal(op(e0,e2),e0) )],[refute_20_210,refute_20_216]) ).
cnf(refute_20_218,plain,
op(e4,e1) = op(e4,e1),
introduced(tautology,[refl,[$fot(op(e4,e1))]]) ).
cnf(refute_20_219,plain,
( e4 != e0
| op(e4,e1) != op(e4,e1)
| op(e4,e1) = op(e0,e1) ),
introduced(tautology,[equality,[$cnf( $equal(op(e4,e1),op(e4,e1)) ),[1,0],$fot(e0)]]) ).
cnf(refute_20_220,plain,
( e4 != e0
| op(e4,e1) = op(e0,e1) ),
inference(resolve,[$cnf( $equal(op(e4,e1),op(e4,e1)) )],[refute_20_218,refute_20_219]) ).
cnf(refute_20_221,plain,
op(e4,e1) = op(e0,e1),
inference(resolve,[$cnf( $equal(e4,e0) )],[refute_20_166,refute_20_220]) ).
cnf(refute_20_222,plain,
( op(e0,e1) != e0
| op(e4,e1) != op(e0,e1)
| op(e4,e1) = e0 ),
inference(subst,[],[refute_20_158:[bind(X,$fot(op(e4,e1))),bind(Y,$fot(op(e0,e1))),bind(Z,$fot(e0))]]) ).
cnf(refute_20_223,plain,
( op(e0,e1) != e0
| op(e4,e1) = e0 ),
inference(resolve,[$cnf( $equal(op(e4,e1),op(e0,e1)) )],[refute_20_221,refute_20_222]) ).
cnf(refute_20_224,plain,
op(e4,e1) = e0,
inference(resolve,[$cnf( $equal(op(e0,e1),e0) )],[refute_20_217,refute_20_223]) ).
cnf(refute_20_225,plain,
( e3 != op(e4,e1)
| op(e4,e1) != e0
| e3 = e0 ),
introduced(tautology,[equality,[$cnf( ~ $equal(e3,e0) ),[0],$fot(op(e4,e1))]]) ).
cnf(refute_20_226,plain,
( e3 != op(e4,e1)
| e3 = e0 ),
inference(resolve,[$cnf( $equal(op(e4,e1),e0) )],[refute_20_224,refute_20_225]) ).
cnf(refute_20_227,plain,
e3 = e0,
inference(resolve,[$cnf( $equal(e3,op(e4,e1)) )],[refute_20_14,refute_20_226]) ).
cnf(refute_20_228,plain,
op(e0,e3) = op(e0,e3),
introduced(tautology,[refl,[$fot(op(e0,e3))]]) ).
cnf(refute_20_229,plain,
( e3 != e0
| op(e0,e3) != op(e0,e3)
| op(e0,e3) = op(e0,e0) ),
introduced(tautology,[equality,[$cnf( $equal(op(e0,e3),op(e0,e3)) ),[1,1],$fot(e0)]]) ).
cnf(refute_20_230,plain,
( e3 != e0
| op(e0,e3) = op(e0,e0) ),
inference(resolve,[$cnf( $equal(op(e0,e3),op(e0,e3)) )],[refute_20_228,refute_20_229]) ).
cnf(refute_20_231,plain,
op(e0,e3) = op(e0,e0),
inference(resolve,[$cnf( $equal(e3,e0) )],[refute_20_227,refute_20_230]) ).
cnf(refute_20_232,plain,
( op(e0,e0) != e1
| op(e0,e3) != op(e0,e0)
| op(e0,e3) = e1 ),
inference(subst,[],[refute_20_158:[bind(X,$fot(op(e0,e3))),bind(Y,$fot(op(e0,e0))),bind(Z,$fot(e1))]]) ).
cnf(refute_20_233,plain,
( op(e0,e0) != e1
| op(e0,e3) = e1 ),
inference(resolve,[$cnf( $equal(op(e0,e3),op(e0,e0)) )],[refute_20_231,refute_20_232]) ).
cnf(refute_20_234,plain,
op(e0,e3) = e1,
inference(resolve,[$cnf( $equal(op(e0,e0),e1) )],[refute_20_202,refute_20_233]) ).
cnf(refute_20_235,plain,
( op(e0,e3) != e0
| op(e0,e3) != e1
| e1 = e0 ),
introduced(tautology,[equality,[$cnf( $equal(op(e0,e3),e0) ),[0],$fot(e1)]]) ).
cnf(refute_20_236,plain,
( op(e0,e3) != e0
| e1 = e0 ),
inference(resolve,[$cnf( $equal(op(e0,e3),e1) )],[refute_20_234,refute_20_235]) ).
cnf(refute_20_237,plain,
e1 = e0,
inference(resolve,[$cnf( $equal(op(e0,e3),e0) )],[refute_20_197,refute_20_236]) ).
cnf(refute_20_238,plain,
( e1 != e0
| e1 != e2
| e0 = e2 ),
introduced(tautology,[equality,[$cnf( $equal(e1,e2) ),[0],$fot(e0)]]) ).
cnf(refute_20_239,plain,
( e1 != e2
| e0 = e2 ),
inference(resolve,[$cnf( $equal(e1,e0) )],[refute_20_237,refute_20_238]) ).
cnf(refute_20_240,plain,
e0 = e2,
inference(resolve,[$cnf( $equal(e1,e2) )],[refute_20_190,refute_20_239]) ).
cnf(refute_20_241,plain,
$false,
inference(resolve,[$cnf( $equal(e0,e2) )],[refute_20_240,refute_20_147]) ).
fof(negate_21_0,plain,
~ ( ( ( ( op(e0,e0) = e0
& op(e0,e0) = e0
& op(e0,e0) != e0 )
| ( op(e0,e0) = e1
& op(e1,e1) = e0
& op(e0,e1) != e0 )
| ( op(e0,e0) = e2
& op(e2,e2) = e0
& op(e0,e2) != e0 )
| ( op(e0,e0) = e3
& op(e3,e3) = e0
& op(e0,e3) != e0 )
| ( op(e0,e0) = e4
& op(e4,e4) = e0
& op(e0,e4) != e0 )
| ( op(e1,e1) = e0
& op(e0,e0) = e1
& op(e1,e0) != e1 )
| ( op(e1,e1) = e1
& op(e1,e1) = e1
& op(e1,e1) != e1 )
| ( op(e1,e1) = e2
& op(e2,e2) = e1
& op(e1,e2) != e1 )
| ( op(e1,e1) = e3
& op(e3,e3) = e1
& op(e1,e3) != e1 )
| ( op(e1,e1) = e4
& op(e4,e4) = e1
& op(e1,e4) != e1 )
| ( op(e2,e2) = e0
& op(e0,e0) = e2
& op(e2,e0) != e2 )
| ( op(e2,e2) = e1
& op(e1,e1) = e2
& op(e2,e1) != e2 )
| ( op(e2,e2) = e2
& op(e2,e2) = e2
& op(e2,e2) != e2 )
| ( op(e2,e2) = e3
& op(e3,e3) = e2
& op(e2,e3) != e2 )
| ( op(e2,e2) = e4
& op(e4,e4) = e2
& op(e2,e4) != e2 )
| ( op(e3,e3) = e0
& op(e0,e0) = e3
& op(e3,e0) != e3 )
| ( op(e3,e3) = e1
& op(e1,e1) = e3
& op(e3,e1) != e3 )
| ( op(e3,e3) = e2
& op(e2,e2) = e3
& op(e3,e2) != e3 )
| ( op(e3,e3) = e3
& op(e3,e3) = e3
& op(e3,e3) != e3 )
| ( op(e3,e3) = e4
& op(e4,e4) = e3
& op(e3,e4) != e3 )
| ( op(e4,e4) = e0
& op(e0,e0) = e4
& op(e4,e0) != e4 )
| ( op(e4,e4) = e1
& op(e1,e1) = e4
& op(e4,e1) != e4 )
| ( op(e4,e4) = e2
& op(e2,e2) = e4
& op(e4,e2) != e4 )
| ( op(e4,e4) = e3
& op(e3,e3) = e4
& op(e4,e3) != e4 )
| ( op(e4,e4) = e4
& op(e4,e4) = e4
& op(e4,e4) != e4 ) )
& ~ ( op(e0,e0) != op(e0,e0)
& op(op(e0,e0),e0) = e0
& op(op(e0,e0),e0) != e0 )
& ~ ( op(e1,e0) != op(e0,e1)
& op(op(e0,e1),e1) = e0
& op(op(e0,e1),e0) != e1 )
& ~ ( op(e2,e0) != op(e0,e2)
& op(op(e0,e2),e2) = e0
& op(op(e0,e2),e0) != e2 )
& ~ ( op(e3,e0) != op(e0,e3)
& op(op(e0,e3),e3) = e0
& op(op(e0,e3),e0) != e3 )
& ~ ( op(e4,e0) != op(e0,e4)
& op(op(e0,e4),e4) = e0
& op(op(e0,e4),e0) != e4 )
& ~ ( op(e0,e1) != op(e1,e0)
& op(op(e1,e0),e0) = e1
& op(op(e1,e0),e1) != e0 )
& ~ ( op(e1,e1) != op(e1,e1)
& op(op(e1,e1),e1) = e1
& op(op(e1,e1),e1) != e1 )
& ~ ( op(e2,e1) != op(e1,e2)
& op(op(e1,e2),e2) = e1
& op(op(e1,e2),e1) != e2 )
& ~ ( op(e3,e1) != op(e1,e3)
& op(op(e1,e3),e3) = e1
& op(op(e1,e3),e1) != e3 )
& ~ ( op(e4,e1) != op(e1,e4)
& op(op(e1,e4),e4) = e1
& op(op(e1,e4),e1) != e4 )
& ~ ( op(e0,e2) != op(e2,e0)
& op(op(e2,e0),e0) = e2
& op(op(e2,e0),e2) != e0 )
& ~ ( op(e1,e2) != op(e2,e1)
& op(op(e2,e1),e1) = e2
& op(op(e2,e1),e2) != e1 )
& ~ ( op(e2,e2) != op(e2,e2)
& op(op(e2,e2),e2) = e2
& op(op(e2,e2),e2) != e2 )
& ~ ( op(e3,e2) != op(e2,e3)
& op(op(e2,e3),e3) = e2
& op(op(e2,e3),e2) != e3 )
& ~ ( op(e4,e2) != op(e2,e4)
& op(op(e2,e4),e4) = e2
& op(op(e2,e4),e2) != e4 )
& ~ ( op(e0,e3) != op(e3,e0)
& op(op(e3,e0),e0) = e3
& op(op(e3,e0),e3) != e0 )
& ~ ( op(e1,e3) != op(e3,e1)
& op(op(e3,e1),e1) = e3
& op(op(e3,e1),e3) != e1 )
& ~ ( op(e2,e3) != op(e3,e2)
& op(op(e3,e2),e2) = e3
& op(op(e3,e2),e3) != e2 )
& ~ ( op(e3,e3) != op(e3,e3)
& op(op(e3,e3),e3) = e3
& op(op(e3,e3),e3) != e3 )
& ~ ( op(e4,e3) != op(e3,e4)
& op(op(e3,e4),e4) = e3
& op(op(e3,e4),e3) != e4 )
& ~ ( op(e0,e4) != op(e4,e0)
& op(op(e4,e0),e0) = e4
& op(op(e4,e0),e4) != e0 )
& op(e1,e4) != op(e4,e1)
& op(op(e4,e1),e1) = e4 )
=> op(op(e4,e1),e4) = e1 ),
inference(negate,[],[subgoal_21]) ).
fof(normalize_21_0,plain,
( op(e1,e4) != op(e4,e1)
& op(op(e4,e1),e4) != e1
& op(op(e4,e1),e1) = e4
& ( op(op(e0,e1),e1) != e0
| op(e1,e0) = op(e0,e1)
| op(op(e0,e1),e0) = e1 )
& ( op(op(e0,e2),e2) != e0
| op(e2,e0) = op(e0,e2)
| op(op(e0,e2),e0) = e2 )
& ( op(op(e0,e3),e3) != e0
| op(e3,e0) = op(e0,e3)
| op(op(e0,e3),e0) = e3 )
& ( op(op(e0,e4),e4) != e0
| op(e4,e0) = op(e0,e4)
| op(op(e0,e4),e0) = e4 )
& ( op(op(e1,e0),e0) != e1
| op(e0,e1) = op(e1,e0)
| op(op(e1,e0),e1) = e0 )
& ( op(op(e1,e2),e2) != e1
| op(e2,e1) = op(e1,e2)
| op(op(e1,e2),e1) = e2 )
& ( op(op(e1,e3),e3) != e1
| op(e3,e1) = op(e1,e3)
| op(op(e1,e3),e1) = e3 )
& ( op(op(e1,e4),e4) != e1
| op(e4,e1) = op(e1,e4)
| op(op(e1,e4),e1) = e4 )
& ( op(op(e2,e0),e0) != e2
| op(e0,e2) = op(e2,e0)
| op(op(e2,e0),e2) = e0 )
& ( op(op(e2,e1),e1) != e2
| op(e1,e2) = op(e2,e1)
| op(op(e2,e1),e2) = e1 )
& ( op(op(e2,e3),e3) != e2
| op(e3,e2) = op(e2,e3)
| op(op(e2,e3),e2) = e3 )
& ( op(op(e2,e4),e4) != e2
| op(e4,e2) = op(e2,e4)
| op(op(e2,e4),e2) = e4 )
& ( op(op(e3,e0),e0) != e3
| op(e0,e3) = op(e3,e0)
| op(op(e3,e0),e3) = e0 )
& ( op(op(e3,e1),e1) != e3
| op(e1,e3) = op(e3,e1)
| op(op(e3,e1),e3) = e1 )
& ( op(op(e3,e2),e2) != e3
| op(e2,e3) = op(e3,e2)
| op(op(e3,e2),e3) = e2 )
& ( op(op(e3,e4),e4) != e3
| op(e4,e3) = op(e3,e4)
| op(op(e3,e4),e3) = e4 )
& ( op(op(e4,e0),e0) != e4
| op(e0,e4) = op(e4,e0)
| op(op(e4,e0),e4) = e0 )
& ( ( op(e0,e1) != e0
& op(e0,e0) = e1
& op(e1,e1) = e0 )
| ( op(e0,e2) != e0
& op(e0,e0) = e2
& op(e2,e2) = e0 )
| ( op(e0,e3) != e0
& op(e0,e0) = e3
& op(e3,e3) = e0 )
| ( op(e0,e4) != e0
& op(e0,e0) = e4
& op(e4,e4) = e0 )
| ( op(e1,e0) != e1
& op(e0,e0) = e1
& op(e1,e1) = e0 )
| ( op(e1,e2) != e1
& op(e1,e1) = e2
& op(e2,e2) = e1 )
| ( op(e1,e3) != e1
& op(e1,e1) = e3
& op(e3,e3) = e1 )
| ( op(e1,e4) != e1
& op(e1,e1) = e4
& op(e4,e4) = e1 )
| ( op(e2,e0) != e2
& op(e0,e0) = e2
& op(e2,e2) = e0 )
| ( op(e2,e1) != e2
& op(e1,e1) = e2
& op(e2,e2) = e1 )
| ( op(e2,e3) != e2
& op(e2,e2) = e3
& op(e3,e3) = e2 )
| ( op(e2,e4) != e2
& op(e2,e2) = e4
& op(e4,e4) = e2 )
| ( op(e3,e0) != e3
& op(e0,e0) = e3
& op(e3,e3) = e0 )
| ( op(e3,e1) != e3
& op(e1,e1) = e3
& op(e3,e3) = e1 )
| ( op(e3,e2) != e3
& op(e2,e2) = e3
& op(e3,e3) = e2 )
| ( op(e3,e4) != e3
& op(e3,e3) = e4
& op(e4,e4) = e3 )
| ( op(e4,e0) != e4
& op(e0,e0) = e4
& op(e4,e4) = e0 )
| ( op(e4,e1) != e4
& op(e1,e1) = e4
& op(e4,e4) = e1 )
| ( op(e4,e2) != e4
& op(e2,e2) = e4
& op(e4,e4) = e2 )
| ( op(e4,e3) != e4
& op(e3,e3) = e4
& op(e4,e4) = e3 ) ) ),
inference(canonicalize,[],[negate_21_0]) ).
fof(normalize_21_1,plain,
( op(op(e1,e2),e2) != e1
| op(e2,e1) = op(e1,e2)
| op(op(e1,e2),e1) = e2 ),
inference(conjunct,[],[normalize_21_0]) ).
fof(normalize_21_2,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_21_3,plain,
( op(e3,e2) = e0
| op(e3,e2) = e1
| op(e3,e2) = e2
| op(e3,e2) = e3
| op(e3,e2) = e4 ),
inference(conjunct,[],[normalize_21_2]) ).
fof(normalize_21_4,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_21_5,plain,
op(e3,e2) != op(e4,e2),
inference(conjunct,[],[normalize_21_4]) ).
fof(normalize_21_6,plain,
op(e0,e2) != op(e4,e2),
inference(conjunct,[],[normalize_21_4]) ).
fof(normalize_21_7,plain,
( op(e0,unit) = e0
& op(e1,unit) = e1
& op(e2,unit) = e2
& op(e3,unit) = e3
& op(e4,unit) = e4
& op(unit,e0) = e0
& op(unit,e1) = e1
& op(unit,e2) = e2
& op(unit,e3) = e3
& op(unit,e4) = e4
& ( unit = e0
| unit = e1
| unit = e2
| unit = e3
| unit = e4 ) ),
inference(canonicalize,[],[ax2]) ).
fof(normalize_21_8,plain,
op(unit,e2) = e2,
inference(conjunct,[],[normalize_21_7]) ).
fof(normalize_21_9,plain,
op(e0,e1) != op(e0,e2),
inference(conjunct,[],[normalize_21_4]) ).
fof(normalize_21_10,plain,
op(unit,e1) = e1,
inference(conjunct,[],[normalize_21_7]) ).
fof(normalize_21_11,plain,
op(unit,e3) = e3,
inference(conjunct,[],[normalize_21_7]) ).
fof(normalize_21_12,plain,
( unit = e0
| unit = e1
| unit = e2
| unit = e3
| unit = e4 ),
inference(conjunct,[],[normalize_21_7]) ).
fof(normalize_21_13,plain,
( op(op(e3,e1),e1) != e3
| op(e1,e3) = op(e3,e1)
| op(op(e3,e1),e3) = e1 ),
inference(conjunct,[],[normalize_21_0]) ).
fof(normalize_21_14,plain,
( e0 = op(op(e4,e4),e4)
& e1 = op(e4,e4)
& e2 = op(op(e4,op(e4,e4)),e4)
& e3 = op(e4,op(e4,e4)) ),
inference(canonicalize,[],[ax6]) ).
fof(normalize_21_15,plain,
e3 = op(e4,op(e4,e4)),
inference(conjunct,[],[normalize_21_14]) ).
fof(normalize_21_16,plain,
e1 = op(e4,e4),
inference(conjunct,[],[normalize_21_14]) ).
fof(normalize_21_17,plain,
op(op(e4,e1),e1) = e4,
inference(conjunct,[],[normalize_21_0]) ).
fof(normalize_21_18,plain,
op(e4,e3) != op(e4,e4),
inference(conjunct,[],[normalize_21_4]) ).
fof(normalize_21_19,plain,
op(e3,e1) != op(e4,e1),
inference(conjunct,[],[normalize_21_4]) ).
fof(normalize_21_20,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_21_21,plain,
e1 != e4,
inference(conjunct,[],[normalize_21_20]) ).
fof(normalize_21_22,plain,
op(e4,e1) != op(e4,e3),
inference(conjunct,[],[normalize_21_4]) ).
fof(normalize_21_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,[],[ax3]) ).
fof(normalize_21_24,plain,
( op(e0,e1) = e0
| op(e1,e1) = e0
| op(e2,e1) = e0
| op(e3,e1) = e0
| op(e4,e1) = e0 ),
inference(conjunct,[],[normalize_21_23]) ).
fof(normalize_21_25,plain,
e0 != e3,
inference(conjunct,[],[normalize_21_20]) ).
fof(normalize_21_26,plain,
e0 != e4,
inference(conjunct,[],[normalize_21_20]) ).
fof(normalize_21_27,plain,
op(e1,e1) != op(e1,e4),
inference(conjunct,[],[normalize_21_4]) ).
fof(normalize_21_28,plain,
e0 = op(op(e4,e4),e4),
inference(conjunct,[],[normalize_21_14]) ).
fof(normalize_21_29,plain,
e0 != e1,
inference(conjunct,[],[normalize_21_20]) ).
fof(normalize_21_30,plain,
op(e0,unit) = e0,
inference(conjunct,[],[normalize_21_7]) ).
fof(normalize_21_31,plain,
( op(e4,e2) = e0
| op(e4,e2) = e1
| op(e4,e2) = e2
| op(e4,e2) = e3
| op(e4,e2) = e4 ),
inference(conjunct,[],[normalize_21_2]) ).
fof(normalize_21_32,plain,
op(e4,e2) != op(e4,e4),
inference(conjunct,[],[normalize_21_4]) ).
fof(normalize_21_33,plain,
op(e4,e1) != op(e4,e2),
inference(conjunct,[],[normalize_21_4]) ).
fof(normalize_21_34,plain,
op(e4,e0) != op(e4,e2),
inference(conjunct,[],[normalize_21_4]) ).
fof(normalize_21_35,plain,
op(e4,unit) = e4,
inference(conjunct,[],[normalize_21_7]) ).
fof(normalize_21_36,plain,
op(e3,e2) != op(e3,e4),
inference(conjunct,[],[normalize_21_4]) ).
fof(normalize_21_37,plain,
e2 = op(op(e4,op(e4,e4)),e4),
inference(conjunct,[],[normalize_21_14]) ).
fof(normalize_21_38,plain,
op(e3,e0) != op(e3,e2),
inference(conjunct,[],[normalize_21_4]) ).
fof(normalize_21_39,plain,
op(e3,unit) = e3,
inference(conjunct,[],[normalize_21_7]) ).
fof(normalize_21_40,plain,
op(e3,e1) != op(e3,e2),
inference(conjunct,[],[normalize_21_4]) ).
fof(normalize_21_41,plain,
( op(e1,e2) = e0
| op(e1,e2) = e1
| op(e1,e2) = e2
| op(e1,e2) = e3
| op(e1,e2) = e4 ),
inference(conjunct,[],[normalize_21_2]) ).
fof(normalize_21_42,plain,
op(e1,e2) != op(e1,e4),
inference(conjunct,[],[normalize_21_4]) ).
fof(normalize_21_43,plain,
op(e1,e0) != op(e1,e2),
inference(conjunct,[],[normalize_21_4]) ).
fof(normalize_21_44,plain,
op(e1,unit) = e1,
inference(conjunct,[],[normalize_21_7]) ).
fof(normalize_21_45,plain,
op(e0,e2) != op(e1,e2),
inference(conjunct,[],[normalize_21_4]) ).
fof(normalize_21_46,plain,
op(e1,e2) != op(e1,e3),
inference(conjunct,[],[normalize_21_4]) ).
fof(normalize_21_47,plain,
e2 != e4,
inference(conjunct,[],[normalize_21_20]) ).
cnf(refute_21_0,plain,
( op(op(e1,e2),e2) != e1
| op(e2,e1) = op(e1,e2)
| op(op(e1,e2),e1) = e2 ),
inference(canonicalize,[],[normalize_21_1]) ).
cnf(refute_21_1,plain,
( op(e3,e2) = e0
| op(e3,e2) = e1
| op(e3,e2) = e2
| op(e3,e2) = e3
| op(e3,e2) = e4 ),
inference(canonicalize,[],[normalize_21_3]) ).
cnf(refute_21_2,plain,
op(e3,e2) != op(e4,e2),
inference(canonicalize,[],[normalize_21_5]) ).
cnf(refute_21_3,plain,
op(e0,e2) != op(e4,e2),
inference(canonicalize,[],[normalize_21_6]) ).
cnf(refute_21_4,plain,
op(unit,e2) = e2,
inference(canonicalize,[],[normalize_21_8]) ).
cnf(refute_21_5,plain,
op(e0,e1) != op(e0,e2),
inference(canonicalize,[],[normalize_21_9]) ).
cnf(refute_21_6,plain,
op(unit,e1) = e1,
inference(canonicalize,[],[normalize_21_10]) ).
cnf(refute_21_7,plain,
op(unit,e3) = e3,
inference(canonicalize,[],[normalize_21_11]) ).
cnf(refute_21_8,plain,
( unit = e0
| unit = e1
| unit = e2
| unit = e3
| unit = e4 ),
inference(canonicalize,[],[normalize_21_12]) ).
cnf(refute_21_9,plain,
( op(unit,e3) != e3
| unit != e1
| op(e1,e3) = e3 ),
introduced(tautology,[equality,[$cnf( $equal(op(unit,e3),e3) ),[0,0],$fot(e1)]]) ).
cnf(refute_21_10,plain,
( op(unit,e3) != e3
| op(e1,e3) = e3
| unit = e0
| unit = e2
| unit = e3
| unit = e4 ),
inference(resolve,[$cnf( $equal(unit,e1) )],[refute_21_8,refute_21_9]) ).
cnf(refute_21_11,plain,
( op(e1,e3) = e3
| unit = e0
| unit = e2
| unit = e3
| unit = e4 ),
inference(resolve,[$cnf( $equal(op(unit,e3),e3) )],[refute_21_7,refute_21_10]) ).
cnf(refute_21_12,plain,
( op(op(e3,e1),e1) != e3
| op(e1,e3) = op(e3,e1)
| op(op(e3,e1),e3) = e1 ),
inference(canonicalize,[],[normalize_21_13]) ).
cnf(refute_21_13,plain,
e3 = op(e4,op(e4,e4)),
inference(canonicalize,[],[normalize_21_15]) ).
cnf(refute_21_14,plain,
e1 = op(e4,e4),
inference(canonicalize,[],[normalize_21_16]) ).
cnf(refute_21_15,plain,
X = X,
introduced(tautology,[refl,[$fot(X)]]) ).
cnf(refute_21_16,plain,
( X != X
| X != Y
| Y = X ),
introduced(tautology,[equality,[$cnf( $equal(X,X) ),[0],$fot(Y)]]) ).
cnf(refute_21_17,plain,
( X != Y
| Y = X ),
inference(resolve,[$cnf( $equal(X,X) )],[refute_21_15,refute_21_16]) ).
cnf(refute_21_18,plain,
( e1 != op(e4,e4)
| op(e4,e4) = e1 ),
inference(subst,[],[refute_21_17:[bind(X,$fot(e1)),bind(Y,$fot(op(e4,e4)))]]) ).
cnf(refute_21_19,plain,
op(e4,e4) = e1,
inference(resolve,[$cnf( $equal(e1,op(e4,e4)) )],[refute_21_14,refute_21_18]) ).
cnf(refute_21_20,plain,
op(e4,op(e4,e4)) = op(e4,op(e4,e4)),
introduced(tautology,[refl,[$fot(op(e4,op(e4,e4)))]]) ).
cnf(refute_21_21,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_21_22,plain,
( op(e4,e4) != e1
| op(e4,op(e4,e4)) = op(e4,e1) ),
inference(resolve,[$cnf( $equal(op(e4,op(e4,e4)),op(e4,op(e4,e4))) )],[refute_21_20,refute_21_21]) ).
cnf(refute_21_23,plain,
op(e4,op(e4,e4)) = op(e4,e1),
inference(resolve,[$cnf( $equal(op(e4,e4),e1) )],[refute_21_19,refute_21_22]) ).
cnf(refute_21_24,plain,
( e3 != op(e4,op(e4,e4))
| op(e4,op(e4,e4)) != op(e4,e1)
| e3 = op(e4,e1) ),
introduced(tautology,[equality,[$cnf( ~ $equal(e3,op(e4,e1)) ),[0],$fot(op(e4,op(e4,e4)))]]) ).
cnf(refute_21_25,plain,
( e3 != op(e4,op(e4,e4))
| e3 = op(e4,e1) ),
inference(resolve,[$cnf( $equal(op(e4,op(e4,e4)),op(e4,e1)) )],[refute_21_23,refute_21_24]) ).
cnf(refute_21_26,plain,
e3 = op(e4,e1),
inference(resolve,[$cnf( $equal(e3,op(e4,op(e4,e4))) )],[refute_21_13,refute_21_25]) ).
cnf(refute_21_27,plain,
( e3 != op(e4,e1)
| op(e4,e1) = e3 ),
inference(subst,[],[refute_21_17:[bind(X,$fot(e3)),bind(Y,$fot(op(e4,e1)))]]) ).
cnf(refute_21_28,plain,
op(e4,e1) = e3,
inference(resolve,[$cnf( $equal(e3,op(e4,e1)) )],[refute_21_26,refute_21_27]) ).
cnf(refute_21_29,plain,
op(op(e4,e1),e1) = e4,
inference(canonicalize,[],[normalize_21_17]) ).
cnf(refute_21_30,plain,
op(op(e4,e1),e1) = op(op(e4,e1),e1),
introduced(tautology,[refl,[$fot(op(op(e4,e1),e1))]]) ).
cnf(refute_21_31,plain,
( op(e4,e1) != e3
| op(op(e4,e1),e1) != op(op(e4,e1),e1)
| op(op(e4,e1),e1) = op(e3,e1) ),
introduced(tautology,[equality,[$cnf( $equal(op(op(e4,e1),e1),op(op(e4,e1),e1)) ),[1,0],$fot(e3)]]) ).
cnf(refute_21_32,plain,
( op(e4,e1) != e3
| op(op(e4,e1),e1) = op(e3,e1) ),
inference(resolve,[$cnf( $equal(op(op(e4,e1),e1),op(op(e4,e1),e1)) )],[refute_21_30,refute_21_31]) ).
cnf(refute_21_33,plain,
op(op(e4,e1),e1) = op(e3,e1),
inference(resolve,[$cnf( $equal(op(e4,e1),e3) )],[refute_21_28,refute_21_32]) ).
cnf(refute_21_34,plain,
( op(op(e4,e1),e1) != e4
| op(op(e4,e1),e1) != op(e3,e1)
| op(e3,e1) = e4 ),
introduced(tautology,[equality,[$cnf( $equal(op(op(e4,e1),e1),e4) ),[0],$fot(op(e3,e1))]]) ).
cnf(refute_21_35,plain,
( op(op(e4,e1),e1) != e4
| op(e3,e1) = e4 ),
inference(resolve,[$cnf( $equal(op(op(e4,e1),e1),op(e3,e1)) )],[refute_21_33,refute_21_34]) ).
cnf(refute_21_36,plain,
op(e3,e1) = e4,
inference(resolve,[$cnf( $equal(op(op(e4,e1),e1),e4) )],[refute_21_29,refute_21_35]) ).
cnf(refute_21_37,plain,
op(op(e3,e1),e1) = op(op(e3,e1),e1),
introduced(tautology,[refl,[$fot(op(op(e3,e1),e1))]]) ).
cnf(refute_21_38,plain,
( op(e3,e1) != e4
| op(op(e3,e1),e1) != op(op(e3,e1),e1)
| op(op(e3,e1),e1) = op(e4,e1) ),
introduced(tautology,[equality,[$cnf( $equal(op(op(e3,e1),e1),op(op(e3,e1),e1)) ),[1,0],$fot(e4)]]) ).
cnf(refute_21_39,plain,
( op(e3,e1) != e4
| op(op(e3,e1),e1) = op(e4,e1) ),
inference(resolve,[$cnf( $equal(op(op(e3,e1),e1),op(op(e3,e1),e1)) )],[refute_21_37,refute_21_38]) ).
cnf(refute_21_40,plain,
op(op(e3,e1),e1) = op(e4,e1),
inference(resolve,[$cnf( $equal(op(e3,e1),e4) )],[refute_21_36,refute_21_39]) ).
cnf(refute_21_41,plain,
( Y != X
| Y != Z
| X = Z ),
introduced(tautology,[equality,[$cnf( $equal(Y,Z) ),[0],$fot(X)]]) ).
cnf(refute_21_42,plain,
( X != Y
| Y != Z
| X = Z ),
inference(resolve,[$cnf( $equal(Y,X) )],[refute_21_17,refute_21_41]) ).
cnf(refute_21_43,plain,
( op(e4,e1) != e3
| op(op(e3,e1),e1) != op(e4,e1)
| op(op(e3,e1),e1) = e3 ),
inference(subst,[],[refute_21_42:[bind(X,$fot(op(op(e3,e1),e1))),bind(Y,$fot(op(e4,e1))),bind(Z,$fot(e3))]]) ).
cnf(refute_21_44,plain,
( op(e4,e1) != e3
| op(op(e3,e1),e1) = e3 ),
inference(resolve,[$cnf( $equal(op(op(e3,e1),e1),op(e4,e1)) )],[refute_21_40,refute_21_43]) ).
cnf(refute_21_45,plain,
op(op(e3,e1),e1) = e3,
inference(resolve,[$cnf( $equal(op(e4,e1),e3) )],[refute_21_28,refute_21_44]) ).
cnf(refute_21_46,plain,
( e3 != e3
| op(op(e3,e1),e1) != e3
| op(op(e3,e1),e1) = e3 ),
introduced(tautology,[equality,[$cnf( $equal(op(op(e3,e1),e1),e3) ),[0,0,0],$fot(e3)]]) ).
cnf(refute_21_47,plain,
( e3 != e3
| op(op(e3,e1),e1) = e3 ),
inference(resolve,[$cnf( $equal(op(op(e3,e1),e1),e3) )],[refute_21_45,refute_21_46]) ).
cnf(refute_21_48,plain,
( e3 != e3
| op(e1,e3) = op(e3,e1)
| op(op(e3,e1),e3) = e1 ),
inference(resolve,[$cnf( $equal(op(op(e3,e1),e1),e3) )],[refute_21_47,refute_21_12]) ).
cnf(refute_21_49,plain,
( op(e1,e3) != op(e3,e1)
| op(e3,e1) != e4
| op(e1,e3) = e4 ),
introduced(tautology,[equality,[$cnf( ~ $equal(op(e1,e3),e4) ),[0],$fot(op(e3,e1))]]) ).
cnf(refute_21_50,plain,
( op(e1,e3) != op(e3,e1)
| op(e1,e3) = e4 ),
inference(resolve,[$cnf( $equal(op(e3,e1),e4) )],[refute_21_36,refute_21_49]) ).
cnf(refute_21_51,plain,
( e3 != e3
| op(e1,e3) = e4
| op(op(e3,e1),e3) = e1 ),
inference(resolve,[$cnf( $equal(op(e1,e3),op(e3,e1)) )],[refute_21_48,refute_21_50]) ).
cnf(refute_21_52,plain,
op(op(e3,e1),e3) = op(op(e3,e1),e3),
introduced(tautology,[refl,[$fot(op(op(e3,e1),e3))]]) ).
cnf(refute_21_53,plain,
( op(e3,e1) != e4
| op(op(e3,e1),e3) != op(op(e3,e1),e3)
| op(op(e3,e1),e3) = op(e4,e3) ),
introduced(tautology,[equality,[$cnf( $equal(op(op(e3,e1),e3),op(op(e3,e1),e3)) ),[1,0],$fot(e4)]]) ).
cnf(refute_21_54,plain,
( op(e3,e1) != e4
| op(op(e3,e1),e3) = op(e4,e3) ),
inference(resolve,[$cnf( $equal(op(op(e3,e1),e3),op(op(e3,e1),e3)) )],[refute_21_52,refute_21_53]) ).
cnf(refute_21_55,plain,
op(op(e3,e1),e3) = op(e4,e3),
inference(resolve,[$cnf( $equal(op(e3,e1),e4) )],[refute_21_36,refute_21_54]) ).
cnf(refute_21_56,plain,
( op(op(e3,e1),e3) != e1
| op(op(e3,e1),e3) != op(e4,e3)
| op(e4,e3) = e1 ),
introduced(tautology,[equality,[$cnf( $equal(op(op(e3,e1),e3),e1) ),[0],$fot(op(e4,e3))]]) ).
cnf(refute_21_57,plain,
( op(op(e3,e1),e3) != e1
| op(e4,e3) = e1 ),
inference(resolve,[$cnf( $equal(op(op(e3,e1),e3),op(e4,e3)) )],[refute_21_55,refute_21_56]) ).
cnf(refute_21_58,plain,
( e3 != e3
| op(e1,e3) = e4
| op(e4,e3) = e1 ),
inference(resolve,[$cnf( $equal(op(op(e3,e1),e3),e1) )],[refute_21_51,refute_21_57]) ).
cnf(refute_21_59,plain,
e3 = e3,
introduced(tautology,[refl,[$fot(e3)]]) ).
cnf(refute_21_60,plain,
( op(e1,e3) = e4
| op(e4,e3) = e1 ),
inference(resolve,[$cnf( $equal(e3,e3) )],[refute_21_59,refute_21_58]) ).
cnf(refute_21_61,plain,
op(e4,e3) != op(e4,e4),
inference(canonicalize,[],[normalize_21_18]) ).
cnf(refute_21_62,plain,
( op(e4,e3) != e1
| op(e4,e4) != e1
| op(e4,e3) = op(e4,e4) ),
introduced(tautology,[equality,[$cnf( ~ $equal(op(e4,e3),op(e4,e4)) ),[1],$fot(e1)]]) ).
cnf(refute_21_63,plain,
( op(e4,e3) != e1
| op(e4,e3) = op(e4,e4) ),
inference(resolve,[$cnf( $equal(op(e4,e4),e1) )],[refute_21_19,refute_21_62]) ).
cnf(refute_21_64,plain,
op(e4,e3) != e1,
inference(resolve,[$cnf( $equal(op(e4,e3),op(e4,e4)) )],[refute_21_63,refute_21_61]) ).
cnf(refute_21_65,plain,
op(e1,e3) = e4,
inference(resolve,[$cnf( $equal(op(e4,e3),e1) )],[refute_21_60,refute_21_64]) ).
cnf(refute_21_66,plain,
( op(e1,e3) != e3
| op(e1,e3) != e4
| e4 = e3 ),
introduced(tautology,[equality,[$cnf( $equal(op(e1,e3),e3) ),[0],$fot(e4)]]) ).
cnf(refute_21_67,plain,
( op(e1,e3) != e3
| e4 = e3 ),
inference(resolve,[$cnf( $equal(op(e1,e3),e4) )],[refute_21_65,refute_21_66]) ).
cnf(refute_21_68,plain,
( e4 = e3
| unit = e0
| unit = e2
| unit = e3
| unit = e4 ),
inference(resolve,[$cnf( $equal(op(e1,e3),e3) )],[refute_21_11,refute_21_67]) ).
cnf(refute_21_69,plain,
op(e3,e1) != op(e4,e1),
inference(canonicalize,[],[normalize_21_19]) ).
cnf(refute_21_70,plain,
( op(e3,e1) != e3
| op(e4,e1) != e3
| op(e3,e1) = op(e4,e1) ),
introduced(tautology,[equality,[$cnf( ~ $equal(op(e3,e1),op(e4,e1)) ),[1],$fot(e3)]]) ).
cnf(refute_21_71,plain,
( op(e3,e1) != e3
| op(e3,e1) = op(e4,e1) ),
inference(resolve,[$cnf( $equal(op(e4,e1),e3) )],[refute_21_28,refute_21_70]) ).
cnf(refute_21_72,plain,
op(e3,e1) != e3,
inference(resolve,[$cnf( $equal(op(e3,e1),op(e4,e1)) )],[refute_21_71,refute_21_69]) ).
cnf(refute_21_73,plain,
( e4 != e3
| op(e3,e1) != e4
| op(e3,e1) = e3 ),
introduced(tautology,[equality,[$cnf( $equal(op(e3,e1),e4) ),[1],$fot(e3)]]) ).
cnf(refute_21_74,plain,
( e4 != e3
| op(e3,e1) = e3 ),
inference(resolve,[$cnf( $equal(op(e3,e1),e4) )],[refute_21_36,refute_21_73]) ).
cnf(refute_21_75,plain,
e4 != e3,
inference(resolve,[$cnf( $equal(op(e3,e1),e3) )],[refute_21_74,refute_21_72]) ).
cnf(refute_21_76,plain,
( unit = e0
| unit = e2
| unit = e3
| unit = e4 ),
inference(resolve,[$cnf( $equal(e4,e3) )],[refute_21_68,refute_21_75]) ).
cnf(refute_21_77,plain,
( op(unit,e1) != e1
| unit != e3
| op(e3,e1) = e1 ),
introduced(tautology,[equality,[$cnf( $equal(op(unit,e1),e1) ),[0,0],$fot(e3)]]) ).
cnf(refute_21_78,plain,
( op(unit,e1) != e1
| op(e3,e1) = e1
| unit = e0
| unit = e2
| unit = e4 ),
inference(resolve,[$cnf( $equal(unit,e3) )],[refute_21_76,refute_21_77]) ).
cnf(refute_21_79,plain,
( op(e3,e1) = e1
| unit = e0
| unit = e2
| unit = e4 ),
inference(resolve,[$cnf( $equal(op(unit,e1),e1) )],[refute_21_6,refute_21_78]) ).
cnf(refute_21_80,plain,
( op(e3,e1) != e1
| op(e3,e1) != e4
| e4 = e1 ),
introduced(tautology,[equality,[$cnf( $equal(op(e3,e1),e1) ),[0],$fot(e4)]]) ).
cnf(refute_21_81,plain,
( op(e3,e1) != e1
| e4 = e1 ),
inference(resolve,[$cnf( $equal(op(e3,e1),e4) )],[refute_21_36,refute_21_80]) ).
cnf(refute_21_82,plain,
( e4 = e1
| unit = e0
| unit = e2
| unit = e4 ),
inference(resolve,[$cnf( $equal(op(e3,e1),e1) )],[refute_21_79,refute_21_81]) ).
cnf(refute_21_83,plain,
e1 != e4,
inference(canonicalize,[],[normalize_21_21]) ).
cnf(refute_21_84,plain,
( e4 != e1
| e1 = e4 ),
inference(subst,[],[refute_21_17:[bind(X,$fot(e4)),bind(Y,$fot(e1))]]) ).
cnf(refute_21_85,plain,
e4 != e1,
inference(resolve,[$cnf( $equal(e1,e4) )],[refute_21_84,refute_21_83]) ).
cnf(refute_21_86,plain,
( unit = e0
| unit = e2
| unit = e4 ),
inference(resolve,[$cnf( $equal(e4,e1) )],[refute_21_82,refute_21_85]) ).
cnf(refute_21_87,plain,
( op(unit,e3) != e3
| unit != e4
| op(e4,e3) = e3 ),
introduced(tautology,[equality,[$cnf( $equal(op(unit,e3),e3) ),[0,0],$fot(e4)]]) ).
cnf(refute_21_88,plain,
( op(unit,e3) != e3
| op(e4,e3) = e3
| unit = e0
| unit = e2 ),
inference(resolve,[$cnf( $equal(unit,e4) )],[refute_21_86,refute_21_87]) ).
cnf(refute_21_89,plain,
( op(e4,e3) = e3
| unit = e0
| unit = e2 ),
inference(resolve,[$cnf( $equal(op(unit,e3),e3) )],[refute_21_7,refute_21_88]) ).
cnf(refute_21_90,plain,
op(e4,e1) != op(e4,e3),
inference(canonicalize,[],[normalize_21_22]) ).
cnf(refute_21_91,plain,
( e3 != op(e4,e3)
| op(e4,e1) != e3
| op(e4,e1) = op(e4,e3) ),
introduced(tautology,[equality,[$cnf( $equal(op(e4,e1),e3) ),[1],$fot(op(e4,e3))]]) ).
cnf(refute_21_92,plain,
( e3 != op(e4,e3)
| op(e4,e1) = op(e4,e3) ),
inference(resolve,[$cnf( $equal(op(e4,e1),e3) )],[refute_21_28,refute_21_91]) ).
cnf(refute_21_93,plain,
e3 != op(e4,e3),
inference(resolve,[$cnf( $equal(op(e4,e1),op(e4,e3)) )],[refute_21_92,refute_21_90]) ).
cnf(refute_21_94,plain,
( op(e4,e3) != e3
| e3 = op(e4,e3) ),
inference(subst,[],[refute_21_17:[bind(X,$fot(op(e4,e3))),bind(Y,$fot(e3))]]) ).
cnf(refute_21_95,plain,
op(e4,e3) != e3,
inference(resolve,[$cnf( $equal(e3,op(e4,e3)) )],[refute_21_94,refute_21_93]) ).
cnf(refute_21_96,plain,
( unit = e0
| unit = e2 ),
inference(resolve,[$cnf( $equal(op(e4,e3),e3) )],[refute_21_89,refute_21_95]) ).
cnf(refute_21_97,plain,
( op(unit,e1) != e1
| unit != e2
| op(e2,e1) = e1 ),
introduced(tautology,[equality,[$cnf( $equal(op(unit,e1),e1) ),[0,0],$fot(e2)]]) ).
cnf(refute_21_98,plain,
( op(unit,e1) != e1
| op(e2,e1) = e1
| unit = e0 ),
inference(resolve,[$cnf( $equal(unit,e2) )],[refute_21_96,refute_21_97]) ).
cnf(refute_21_99,plain,
( op(e2,e1) = e1
| unit = e0 ),
inference(resolve,[$cnf( $equal(op(unit,e1),e1) )],[refute_21_6,refute_21_98]) ).
cnf(refute_21_100,plain,
( op(e0,e1) = e0
| op(e1,e1) = e0
| op(e2,e1) = e0
| op(e3,e1) = e0
| op(e4,e1) = e0 ),
inference(canonicalize,[],[normalize_21_24]) ).
cnf(refute_21_101,plain,
( op(e4,e1) != e0
| op(e4,e1) != e3
| e3 = e0 ),
introduced(tautology,[equality,[$cnf( $equal(op(e4,e1),e0) ),[0],$fot(e3)]]) ).
cnf(refute_21_102,plain,
( op(e4,e1) != e0
| e3 = e0 ),
inference(resolve,[$cnf( $equal(op(e4,e1),e3) )],[refute_21_28,refute_21_101]) ).
cnf(refute_21_103,plain,
( e3 = e0
| op(e0,e1) = e0
| op(e1,e1) = e0
| op(e2,e1) = e0
| op(e3,e1) = e0 ),
inference(resolve,[$cnf( $equal(op(e4,e1),e0) )],[refute_21_100,refute_21_102]) ).
cnf(refute_21_104,plain,
e0 != e3,
inference(canonicalize,[],[normalize_21_25]) ).
cnf(refute_21_105,plain,
( e3 != e0
| e0 = e3 ),
inference(subst,[],[refute_21_17:[bind(X,$fot(e3)),bind(Y,$fot(e0))]]) ).
cnf(refute_21_106,plain,
e3 != e0,
inference(resolve,[$cnf( $equal(e0,e3) )],[refute_21_105,refute_21_104]) ).
cnf(refute_21_107,plain,
( op(e0,e1) = e0
| op(e1,e1) = e0
| op(e2,e1) = e0
| op(e3,e1) = e0 ),
inference(resolve,[$cnf( $equal(e3,e0) )],[refute_21_103,refute_21_106]) ).
cnf(refute_21_108,plain,
( op(e3,e1) != e0
| op(e3,e1) != e4
| e4 = e0 ),
introduced(tautology,[equality,[$cnf( $equal(op(e3,e1),e0) ),[0],$fot(e4)]]) ).
cnf(refute_21_109,plain,
( op(e3,e1) != e0
| e4 = e0 ),
inference(resolve,[$cnf( $equal(op(e3,e1),e4) )],[refute_21_36,refute_21_108]) ).
cnf(refute_21_110,plain,
( e4 = e0
| op(e0,e1) = e0
| op(e1,e1) = e0
| op(e2,e1) = e0 ),
inference(resolve,[$cnf( $equal(op(e3,e1),e0) )],[refute_21_107,refute_21_109]) ).
cnf(refute_21_111,plain,
e0 != e4,
inference(canonicalize,[],[normalize_21_26]) ).
cnf(refute_21_112,plain,
( e4 != e0
| e0 = e4 ),
inference(subst,[],[refute_21_17:[bind(X,$fot(e4)),bind(Y,$fot(e0))]]) ).
cnf(refute_21_113,plain,
e4 != e0,
inference(resolve,[$cnf( $equal(e0,e4) )],[refute_21_112,refute_21_111]) ).
cnf(refute_21_114,plain,
( op(e0,e1) = e0
| op(e1,e1) = e0
| op(e2,e1) = e0 ),
inference(resolve,[$cnf( $equal(e4,e0) )],[refute_21_110,refute_21_113]) ).
cnf(refute_21_115,plain,
op(e1,e1) != op(e1,e4),
inference(canonicalize,[],[normalize_21_27]) ).
cnf(refute_21_116,plain,
e0 = op(op(e4,e4),e4),
inference(canonicalize,[],[normalize_21_28]) ).
cnf(refute_21_117,plain,
op(op(e4,e4),e4) = op(op(e4,e4),e4),
introduced(tautology,[refl,[$fot(op(op(e4,e4),e4))]]) ).
cnf(refute_21_118,plain,
( op(e4,e4) != e1
| op(op(e4,e4),e4) != op(op(e4,e4),e4)
| op(op(e4,e4),e4) = op(e1,e4) ),
introduced(tautology,[equality,[$cnf( $equal(op(op(e4,e4),e4),op(op(e4,e4),e4)) ),[1,0],$fot(e1)]]) ).
cnf(refute_21_119,plain,
( op(e4,e4) != e1
| op(op(e4,e4),e4) = op(e1,e4) ),
inference(resolve,[$cnf( $equal(op(op(e4,e4),e4),op(op(e4,e4),e4)) )],[refute_21_117,refute_21_118]) ).
cnf(refute_21_120,plain,
op(op(e4,e4),e4) = op(e1,e4),
inference(resolve,[$cnf( $equal(op(e4,e4),e1) )],[refute_21_19,refute_21_119]) ).
cnf(refute_21_121,plain,
( e0 != op(op(e4,e4),e4)
| op(op(e4,e4),e4) != op(e1,e4)
| e0 = op(e1,e4) ),
introduced(tautology,[equality,[$cnf( ~ $equal(e0,op(e1,e4)) ),[0],$fot(op(op(e4,e4),e4))]]) ).
cnf(refute_21_122,plain,
( e0 != op(op(e4,e4),e4)
| e0 = op(e1,e4) ),
inference(resolve,[$cnf( $equal(op(op(e4,e4),e4),op(e1,e4)) )],[refute_21_120,refute_21_121]) ).
cnf(refute_21_123,plain,
e0 = op(e1,e4),
inference(resolve,[$cnf( $equal(e0,op(op(e4,e4),e4)) )],[refute_21_116,refute_21_122]) ).
cnf(refute_21_124,plain,
( e0 != op(e1,e4)
| op(e1,e4) = e0 ),
inference(subst,[],[refute_21_17:[bind(X,$fot(e0)),bind(Y,$fot(op(e1,e4)))]]) ).
cnf(refute_21_125,plain,
op(e1,e4) = e0,
inference(resolve,[$cnf( $equal(e0,op(e1,e4)) )],[refute_21_123,refute_21_124]) ).
cnf(refute_21_126,plain,
( op(e1,e1) != e0
| op(e1,e4) != e0
| op(e1,e1) = op(e1,e4) ),
introduced(tautology,[equality,[$cnf( ~ $equal(op(e1,e1),op(e1,e4)) ),[1],$fot(e0)]]) ).
cnf(refute_21_127,plain,
( op(e1,e1) != e0
| op(e1,e1) = op(e1,e4) ),
inference(resolve,[$cnf( $equal(op(e1,e4),e0) )],[refute_21_125,refute_21_126]) ).
cnf(refute_21_128,plain,
op(e1,e1) != e0,
inference(resolve,[$cnf( $equal(op(e1,e1),op(e1,e4)) )],[refute_21_127,refute_21_115]) ).
cnf(refute_21_129,plain,
( op(e0,e1) = e0
| op(e2,e1) = e0 ),
inference(resolve,[$cnf( $equal(op(e1,e1),e0) )],[refute_21_114,refute_21_128]) ).
cnf(refute_21_130,plain,
( op(e2,e1) != e0
| op(e2,e1) != e1
| e0 = e1 ),
introduced(tautology,[equality,[$cnf( $equal(op(e2,e1),e1) ),[0],$fot(e0)]]) ).
cnf(refute_21_131,plain,
( op(e2,e1) != e1
| e0 = e1
| op(e0,e1) = e0 ),
inference(resolve,[$cnf( $equal(op(e2,e1),e0) )],[refute_21_129,refute_21_130]) ).
cnf(refute_21_132,plain,
( e0 = e1
| op(e0,e1) = e0
| unit = e0 ),
inference(resolve,[$cnf( $equal(op(e2,e1),e1) )],[refute_21_99,refute_21_131]) ).
cnf(refute_21_133,plain,
e0 != e1,
inference(canonicalize,[],[normalize_21_29]) ).
cnf(refute_21_134,plain,
( op(e0,e1) = e0
| unit = e0 ),
inference(resolve,[$cnf( $equal(e0,e1) )],[refute_21_132,refute_21_133]) ).
cnf(refute_21_135,plain,
( e0 != op(e0,e2)
| op(e0,e1) != e0
| op(e0,e1) = op(e0,e2) ),
introduced(tautology,[equality,[$cnf( $equal(op(e0,e1),e0) ),[1],$fot(op(e0,e2))]]) ).
cnf(refute_21_136,plain,
( e0 != op(e0,e2)
| op(e0,e1) = op(e0,e2)
| unit = e0 ),
inference(resolve,[$cnf( $equal(op(e0,e1),e0) )],[refute_21_134,refute_21_135]) ).
cnf(refute_21_137,plain,
( e0 != op(e0,e2)
| unit = e0 ),
inference(resolve,[$cnf( $equal(op(e0,e1),op(e0,e2)) )],[refute_21_136,refute_21_5]) ).
cnf(refute_21_138,plain,
op(e0,unit) = e0,
inference(canonicalize,[],[normalize_21_30]) ).
cnf(refute_21_139,plain,
( op(e0,unit) != e0
| unit != e2
| op(e0,e2) = e0 ),
introduced(tautology,[equality,[$cnf( $equal(op(e0,unit),e0) ),[0,1],$fot(e2)]]) ).
cnf(refute_21_140,plain,
( op(e0,unit) != e0
| op(e0,e2) = e0
| unit = e0 ),
inference(resolve,[$cnf( $equal(unit,e2) )],[refute_21_96,refute_21_139]) ).
cnf(refute_21_141,plain,
( op(e0,e2) = e0
| unit = e0 ),
inference(resolve,[$cnf( $equal(op(e0,unit),e0) )],[refute_21_138,refute_21_140]) ).
cnf(refute_21_142,plain,
( e0 != e0
| op(e0,e2) != e0
| e0 = op(e0,e2) ),
introduced(tautology,[equality,[$cnf( ~ $equal(e0,op(e0,e2)) ),[1],$fot(e0)]]) ).
cnf(refute_21_143,plain,
( e0 != e0
| e0 = op(e0,e2)
| unit = e0 ),
inference(resolve,[$cnf( $equal(op(e0,e2),e0) )],[refute_21_141,refute_21_142]) ).
cnf(refute_21_144,plain,
( e0 != e0
| unit = e0 ),
inference(resolve,[$cnf( $equal(e0,op(e0,e2)) )],[refute_21_143,refute_21_137]) ).
cnf(refute_21_145,plain,
e0 = e0,
introduced(tautology,[refl,[$fot(e0)]]) ).
cnf(refute_21_146,plain,
unit = e0,
inference(resolve,[$cnf( $equal(e0,e0) )],[refute_21_145,refute_21_144]) ).
cnf(refute_21_147,plain,
op(unit,e2) = op(unit,e2),
introduced(tautology,[refl,[$fot(op(unit,e2))]]) ).
cnf(refute_21_148,plain,
( op(unit,e2) != op(unit,e2)
| unit != e0
| op(unit,e2) = op(e0,e2) ),
introduced(tautology,[equality,[$cnf( $equal(op(unit,e2),op(unit,e2)) ),[1,0],$fot(e0)]]) ).
cnf(refute_21_149,plain,
( unit != e0
| op(unit,e2) = op(e0,e2) ),
inference(resolve,[$cnf( $equal(op(unit,e2),op(unit,e2)) )],[refute_21_147,refute_21_148]) ).
cnf(refute_21_150,plain,
op(unit,e2) = op(e0,e2),
inference(resolve,[$cnf( $equal(unit,e0) )],[refute_21_146,refute_21_149]) ).
cnf(refute_21_151,plain,
( op(unit,e2) != e2
| op(unit,e2) != op(e0,e2)
| op(e0,e2) = e2 ),
introduced(tautology,[equality,[$cnf( $equal(op(unit,e2),e2) ),[0],$fot(op(e0,e2))]]) ).
cnf(refute_21_152,plain,
( op(unit,e2) != e2
| op(e0,e2) = e2 ),
inference(resolve,[$cnf( $equal(op(unit,e2),op(e0,e2)) )],[refute_21_150,refute_21_151]) ).
cnf(refute_21_153,plain,
op(e0,e2) = e2,
inference(resolve,[$cnf( $equal(op(unit,e2),e2) )],[refute_21_4,refute_21_152]) ).
cnf(refute_21_154,plain,
( e2 != op(e4,e2)
| op(e0,e2) != e2
| op(e0,e2) = op(e4,e2) ),
introduced(tautology,[equality,[$cnf( $equal(op(e0,e2),e2) ),[1],$fot(op(e4,e2))]]) ).
cnf(refute_21_155,plain,
( e2 != op(e4,e2)
| op(e0,e2) = op(e4,e2) ),
inference(resolve,[$cnf( $equal(op(e0,e2),e2) )],[refute_21_153,refute_21_154]) ).
cnf(refute_21_156,plain,
e2 != op(e4,e2),
inference(resolve,[$cnf( $equal(op(e0,e2),op(e4,e2)) )],[refute_21_155,refute_21_3]) ).
cnf(refute_21_157,plain,
( op(e4,e2) = e0
| op(e4,e2) = e1
| op(e4,e2) = e2
| op(e4,e2) = e3
| op(e4,e2) = e4 ),
inference(canonicalize,[],[normalize_21_31]) ).
cnf(refute_21_158,plain,
op(e4,e2) != op(e4,e4),
inference(canonicalize,[],[normalize_21_32]) ).
cnf(refute_21_159,plain,
( op(e4,e2) != e1
| op(e4,e4) != e1
| op(e4,e2) = op(e4,e4) ),
introduced(tautology,[equality,[$cnf( ~ $equal(op(e4,e2),op(e4,e4)) ),[1],$fot(e1)]]) ).
cnf(refute_21_160,plain,
( op(e4,e2) != e1
| op(e4,e2) = op(e4,e4) ),
inference(resolve,[$cnf( $equal(op(e4,e4),e1) )],[refute_21_19,refute_21_159]) ).
cnf(refute_21_161,plain,
op(e4,e2) != e1,
inference(resolve,[$cnf( $equal(op(e4,e2),op(e4,e4)) )],[refute_21_160,refute_21_158]) ).
cnf(refute_21_162,plain,
( op(e4,e2) = e0
| op(e4,e2) = e2
| op(e4,e2) = e3
| op(e4,e2) = e4 ),
inference(resolve,[$cnf( $equal(op(e4,e2),e1) )],[refute_21_157,refute_21_161]) ).
cnf(refute_21_163,plain,
op(e4,e1) != op(e4,e2),
inference(canonicalize,[],[normalize_21_33]) ).
cnf(refute_21_164,plain,
( e3 != op(e4,e2)
| op(e4,e1) != e3
| op(e4,e1) = op(e4,e2) ),
introduced(tautology,[equality,[$cnf( $equal(op(e4,e1),e3) ),[1],$fot(op(e4,e2))]]) ).
cnf(refute_21_165,plain,
( e3 != op(e4,e2)
| op(e4,e1) = op(e4,e2) ),
inference(resolve,[$cnf( $equal(op(e4,e1),e3) )],[refute_21_28,refute_21_164]) ).
cnf(refute_21_166,plain,
e3 != op(e4,e2),
inference(resolve,[$cnf( $equal(op(e4,e1),op(e4,e2)) )],[refute_21_165,refute_21_163]) ).
cnf(refute_21_167,plain,
( op(e4,e2) != e3
| e3 = op(e4,e2) ),
inference(subst,[],[refute_21_17:[bind(X,$fot(op(e4,e2))),bind(Y,$fot(e3))]]) ).
cnf(refute_21_168,plain,
op(e4,e2) != e3,
inference(resolve,[$cnf( $equal(e3,op(e4,e2)) )],[refute_21_167,refute_21_166]) ).
cnf(refute_21_169,plain,
( op(e4,e2) = e0
| op(e4,e2) = e2
| op(e4,e2) = e4 ),
inference(resolve,[$cnf( $equal(op(e4,e2),e3) )],[refute_21_162,refute_21_168]) ).
cnf(refute_21_170,plain,
( e2 != e2
| op(e4,e2) != e2
| e2 = op(e4,e2) ),
introduced(tautology,[equality,[$cnf( ~ $equal(e2,op(e4,e2)) ),[1],$fot(e2)]]) ).
cnf(refute_21_171,plain,
( e2 != e2
| e2 = op(e4,e2)
| op(e4,e2) = e0
| op(e4,e2) = e4 ),
inference(resolve,[$cnf( $equal(op(e4,e2),e2) )],[refute_21_169,refute_21_170]) ).
cnf(refute_21_172,plain,
( e2 != e2
| op(e4,e2) = e0
| op(e4,e2) = e4 ),
inference(resolve,[$cnf( $equal(e2,op(e4,e2)) )],[refute_21_171,refute_21_156]) ).
cnf(refute_21_173,plain,
e2 = e2,
introduced(tautology,[refl,[$fot(e2)]]) ).
cnf(refute_21_174,plain,
( op(e4,e2) = e0
| op(e4,e2) = e4 ),
inference(resolve,[$cnf( $equal(e2,e2) )],[refute_21_173,refute_21_172]) ).
cnf(refute_21_175,plain,
op(e4,e0) != op(e4,e2),
inference(canonicalize,[],[normalize_21_34]) ).
cnf(refute_21_176,plain,
op(e4,unit) = e4,
inference(canonicalize,[],[normalize_21_35]) ).
cnf(refute_21_177,plain,
op(e4,unit) = op(e4,unit),
introduced(tautology,[refl,[$fot(op(e4,unit))]]) ).
cnf(refute_21_178,plain,
( op(e4,unit) != op(e4,unit)
| unit != e0
| op(e4,unit) = op(e4,e0) ),
introduced(tautology,[equality,[$cnf( $equal(op(e4,unit),op(e4,unit)) ),[1,1],$fot(e0)]]) ).
cnf(refute_21_179,plain,
( unit != e0
| op(e4,unit) = op(e4,e0) ),
inference(resolve,[$cnf( $equal(op(e4,unit),op(e4,unit)) )],[refute_21_177,refute_21_178]) ).
cnf(refute_21_180,plain,
op(e4,unit) = op(e4,e0),
inference(resolve,[$cnf( $equal(unit,e0) )],[refute_21_146,refute_21_179]) ).
cnf(refute_21_181,plain,
( op(e4,unit) != e4
| op(e4,unit) != op(e4,e0)
| op(e4,e0) = e4 ),
introduced(tautology,[equality,[$cnf( $equal(op(e4,unit),e4) ),[0],$fot(op(e4,e0))]]) ).
cnf(refute_21_182,plain,
( op(e4,unit) != e4
| op(e4,e0) = e4 ),
inference(resolve,[$cnf( $equal(op(e4,unit),op(e4,e0)) )],[refute_21_180,refute_21_181]) ).
cnf(refute_21_183,plain,
op(e4,e0) = e4,
inference(resolve,[$cnf( $equal(op(e4,unit),e4) )],[refute_21_176,refute_21_182]) ).
cnf(refute_21_184,plain,
( e4 != op(e4,e2)
| op(e4,e0) != e4
| op(e4,e0) = op(e4,e2) ),
introduced(tautology,[equality,[$cnf( $equal(op(e4,e0),e4) ),[1],$fot(op(e4,e2))]]) ).
cnf(refute_21_185,plain,
( e4 != op(e4,e2)
| op(e4,e0) = op(e4,e2) ),
inference(resolve,[$cnf( $equal(op(e4,e0),e4) )],[refute_21_183,refute_21_184]) ).
cnf(refute_21_186,plain,
e4 != op(e4,e2),
inference(resolve,[$cnf( $equal(op(e4,e0),op(e4,e2)) )],[refute_21_185,refute_21_175]) ).
cnf(refute_21_187,plain,
( op(e4,e2) != e4
| e4 = op(e4,e2) ),
inference(subst,[],[refute_21_17:[bind(X,$fot(op(e4,e2))),bind(Y,$fot(e4))]]) ).
cnf(refute_21_188,plain,
op(e4,e2) != e4,
inference(resolve,[$cnf( $equal(e4,op(e4,e2)) )],[refute_21_187,refute_21_186]) ).
cnf(refute_21_189,plain,
op(e4,e2) = e0,
inference(resolve,[$cnf( $equal(op(e4,e2),e4) )],[refute_21_174,refute_21_188]) ).
cnf(refute_21_190,plain,
( op(e3,e2) != e0
| op(e4,e2) != e0
| op(e3,e2) = op(e4,e2) ),
introduced(tautology,[equality,[$cnf( ~ $equal(op(e3,e2),op(e4,e2)) ),[1],$fot(e0)]]) ).
cnf(refute_21_191,plain,
( op(e3,e2) != e0
| op(e3,e2) = op(e4,e2) ),
inference(resolve,[$cnf( $equal(op(e4,e2),e0) )],[refute_21_189,refute_21_190]) ).
cnf(refute_21_192,plain,
op(e3,e2) != e0,
inference(resolve,[$cnf( $equal(op(e3,e2),op(e4,e2)) )],[refute_21_191,refute_21_2]) ).
cnf(refute_21_193,plain,
( op(e3,e2) = e1
| op(e3,e2) = e2
| op(e3,e2) = e3
| op(e3,e2) = e4 ),
inference(resolve,[$cnf( $equal(op(e3,e2),e0) )],[refute_21_1,refute_21_192]) ).
cnf(refute_21_194,plain,
op(e3,e2) != op(e3,e4),
inference(canonicalize,[],[normalize_21_36]) ).
cnf(refute_21_195,plain,
e2 = op(op(e4,op(e4,e4)),e4),
inference(canonicalize,[],[normalize_21_37]) ).
cnf(refute_21_196,plain,
op(op(e4,op(e4,e4)),e4) = op(op(e4,op(e4,e4)),e4),
introduced(tautology,[refl,[$fot(op(op(e4,op(e4,e4)),e4))]]) ).
cnf(refute_21_197,plain,
( op(e4,op(e4,e4)) != op(e4,e1)
| op(op(e4,op(e4,e4)),e4) != op(op(e4,op(e4,e4)),e4)
| op(op(e4,op(e4,e4)),e4) = op(op(e4,e1),e4) ),
introduced(tautology,[equality,[$cnf( $equal(op(op(e4,op(e4,e4)),e4),op(op(e4,op(e4,e4)),e4)) ),[1,0],$fot(op(e4,e1))]]) ).
cnf(refute_21_198,plain,
( op(e4,op(e4,e4)) != op(e4,e1)
| op(op(e4,op(e4,e4)),e4) = op(op(e4,e1),e4) ),
inference(resolve,[$cnf( $equal(op(op(e4,op(e4,e4)),e4),op(op(e4,op(e4,e4)),e4)) )],[refute_21_196,refute_21_197]) ).
cnf(refute_21_199,plain,
op(op(e4,op(e4,e4)),e4) = op(op(e4,e1),e4),
inference(resolve,[$cnf( $equal(op(e4,op(e4,e4)),op(e4,e1)) )],[refute_21_23,refute_21_198]) ).
cnf(refute_21_200,plain,
( e2 != op(op(e4,op(e4,e4)),e4)
| op(op(e4,op(e4,e4)),e4) != op(op(e4,e1),e4)
| e2 = op(op(e4,e1),e4) ),
introduced(tautology,[equality,[$cnf( ~ $equal(e2,op(op(e4,e1),e4)) ),[0],$fot(op(op(e4,op(e4,e4)),e4))]]) ).
cnf(refute_21_201,plain,
( e2 != op(op(e4,op(e4,e4)),e4)
| e2 = op(op(e4,e1),e4) ),
inference(resolve,[$cnf( $equal(op(op(e4,op(e4,e4)),e4),op(op(e4,e1),e4)) )],[refute_21_199,refute_21_200]) ).
cnf(refute_21_202,plain,
e2 = op(op(e4,e1),e4),
inference(resolve,[$cnf( $equal(e2,op(op(e4,op(e4,e4)),e4)) )],[refute_21_195,refute_21_201]) ).
cnf(refute_21_203,plain,
op(op(e4,e1),e4) = op(op(e4,e1),e4),
introduced(tautology,[refl,[$fot(op(op(e4,e1),e4))]]) ).
cnf(refute_21_204,plain,
( op(e4,e1) != e3
| op(op(e4,e1),e4) != op(op(e4,e1),e4)
| op(op(e4,e1),e4) = op(e3,e4) ),
introduced(tautology,[equality,[$cnf( $equal(op(op(e4,e1),e4),op(op(e4,e1),e4)) ),[1,0],$fot(e3)]]) ).
cnf(refute_21_205,plain,
( op(e4,e1) != e3
| op(op(e4,e1),e4) = op(e3,e4) ),
inference(resolve,[$cnf( $equal(op(op(e4,e1),e4),op(op(e4,e1),e4)) )],[refute_21_203,refute_21_204]) ).
cnf(refute_21_206,plain,
op(op(e4,e1),e4) = op(e3,e4),
inference(resolve,[$cnf( $equal(op(e4,e1),e3) )],[refute_21_28,refute_21_205]) ).
cnf(refute_21_207,plain,
( e2 != op(op(e4,e1),e4)
| op(op(e4,e1),e4) != op(e3,e4)
| e2 = op(e3,e4) ),
introduced(tautology,[equality,[$cnf( ~ $equal(e2,op(e3,e4)) ),[0],$fot(op(op(e4,e1),e4))]]) ).
cnf(refute_21_208,plain,
( e2 != op(op(e4,e1),e4)
| e2 = op(e3,e4) ),
inference(resolve,[$cnf( $equal(op(op(e4,e1),e4),op(e3,e4)) )],[refute_21_206,refute_21_207]) ).
cnf(refute_21_209,plain,
e2 = op(e3,e4),
inference(resolve,[$cnf( $equal(e2,op(op(e4,e1),e4)) )],[refute_21_202,refute_21_208]) ).
cnf(refute_21_210,plain,
( e2 != op(e3,e4)
| op(e3,e4) = e2 ),
inference(subst,[],[refute_21_17:[bind(X,$fot(e2)),bind(Y,$fot(op(e3,e4)))]]) ).
cnf(refute_21_211,plain,
op(e3,e4) = e2,
inference(resolve,[$cnf( $equal(e2,op(e3,e4)) )],[refute_21_209,refute_21_210]) ).
cnf(refute_21_212,plain,
( op(e3,e2) != e2
| op(e3,e4) != e2
| op(e3,e2) = op(e3,e4) ),
introduced(tautology,[equality,[$cnf( ~ $equal(op(e3,e2),op(e3,e4)) ),[1],$fot(e2)]]) ).
cnf(refute_21_213,plain,
( op(e3,e2) != e2
| op(e3,e2) = op(e3,e4) ),
inference(resolve,[$cnf( $equal(op(e3,e4),e2) )],[refute_21_211,refute_21_212]) ).
cnf(refute_21_214,plain,
op(e3,e2) != e2,
inference(resolve,[$cnf( $equal(op(e3,e2),op(e3,e4)) )],[refute_21_213,refute_21_194]) ).
cnf(refute_21_215,plain,
( op(e3,e2) = e1
| op(e3,e2) = e3
| op(e3,e2) = e4 ),
inference(resolve,[$cnf( $equal(op(e3,e2),e2) )],[refute_21_193,refute_21_214]) ).
cnf(refute_21_216,plain,
op(e3,e0) != op(e3,e2),
inference(canonicalize,[],[normalize_21_38]) ).
cnf(refute_21_217,plain,
op(e3,unit) = e3,
inference(canonicalize,[],[normalize_21_39]) ).
cnf(refute_21_218,plain,
op(e3,unit) = op(e3,unit),
introduced(tautology,[refl,[$fot(op(e3,unit))]]) ).
cnf(refute_21_219,plain,
( op(e3,unit) != op(e3,unit)
| unit != e0
| op(e3,unit) = op(e3,e0) ),
introduced(tautology,[equality,[$cnf( $equal(op(e3,unit),op(e3,unit)) ),[1,1],$fot(e0)]]) ).
cnf(refute_21_220,plain,
( unit != e0
| op(e3,unit) = op(e3,e0) ),
inference(resolve,[$cnf( $equal(op(e3,unit),op(e3,unit)) )],[refute_21_218,refute_21_219]) ).
cnf(refute_21_221,plain,
op(e3,unit) = op(e3,e0),
inference(resolve,[$cnf( $equal(unit,e0) )],[refute_21_146,refute_21_220]) ).
cnf(refute_21_222,plain,
( op(e3,unit) != e3
| op(e3,unit) != op(e3,e0)
| op(e3,e0) = e3 ),
introduced(tautology,[equality,[$cnf( $equal(op(e3,unit),e3) ),[0],$fot(op(e3,e0))]]) ).
cnf(refute_21_223,plain,
( op(e3,unit) != e3
| op(e3,e0) = e3 ),
inference(resolve,[$cnf( $equal(op(e3,unit),op(e3,e0)) )],[refute_21_221,refute_21_222]) ).
cnf(refute_21_224,plain,
op(e3,e0) = e3,
inference(resolve,[$cnf( $equal(op(e3,unit),e3) )],[refute_21_217,refute_21_223]) ).
cnf(refute_21_225,plain,
( e3 != op(e3,e2)
| op(e3,e0) != e3
| op(e3,e0) = op(e3,e2) ),
introduced(tautology,[equality,[$cnf( $equal(op(e3,e0),e3) ),[1],$fot(op(e3,e2))]]) ).
cnf(refute_21_226,plain,
( e3 != op(e3,e2)
| op(e3,e0) = op(e3,e2) ),
inference(resolve,[$cnf( $equal(op(e3,e0),e3) )],[refute_21_224,refute_21_225]) ).
cnf(refute_21_227,plain,
e3 != op(e3,e2),
inference(resolve,[$cnf( $equal(op(e3,e0),op(e3,e2)) )],[refute_21_226,refute_21_216]) ).
cnf(refute_21_228,plain,
( op(e3,e2) != e3
| e3 = op(e3,e2) ),
inference(subst,[],[refute_21_17:[bind(X,$fot(op(e3,e2))),bind(Y,$fot(e3))]]) ).
cnf(refute_21_229,plain,
op(e3,e2) != e3,
inference(resolve,[$cnf( $equal(e3,op(e3,e2)) )],[refute_21_228,refute_21_227]) ).
cnf(refute_21_230,plain,
( op(e3,e2) = e1
| op(e3,e2) = e4 ),
inference(resolve,[$cnf( $equal(op(e3,e2),e3) )],[refute_21_215,refute_21_229]) ).
cnf(refute_21_231,plain,
op(e3,e1) != op(e3,e2),
inference(canonicalize,[],[normalize_21_40]) ).
cnf(refute_21_232,plain,
( e4 != op(e3,e2)
| op(e3,e1) != e4
| op(e3,e1) = op(e3,e2) ),
introduced(tautology,[equality,[$cnf( $equal(op(e3,e1),e4) ),[1],$fot(op(e3,e2))]]) ).
cnf(refute_21_233,plain,
( e4 != op(e3,e2)
| op(e3,e1) = op(e3,e2) ),
inference(resolve,[$cnf( $equal(op(e3,e1),e4) )],[refute_21_36,refute_21_232]) ).
cnf(refute_21_234,plain,
e4 != op(e3,e2),
inference(resolve,[$cnf( $equal(op(e3,e1),op(e3,e2)) )],[refute_21_233,refute_21_231]) ).
cnf(refute_21_235,plain,
( op(e3,e2) != e4
| e4 = op(e3,e2) ),
inference(subst,[],[refute_21_17:[bind(X,$fot(op(e3,e2))),bind(Y,$fot(e4))]]) ).
cnf(refute_21_236,plain,
op(e3,e2) != e4,
inference(resolve,[$cnf( $equal(e4,op(e3,e2)) )],[refute_21_235,refute_21_234]) ).
cnf(refute_21_237,plain,
op(e3,e2) = e1,
inference(resolve,[$cnf( $equal(op(e3,e2),e4) )],[refute_21_230,refute_21_236]) ).
cnf(refute_21_238,plain,
( op(e1,e2) = e0
| op(e1,e2) = e1
| op(e1,e2) = e2
| op(e1,e2) = e3
| op(e1,e2) = e4 ),
inference(canonicalize,[],[normalize_21_41]) ).
cnf(refute_21_239,plain,
op(e1,e2) != op(e1,e4),
inference(canonicalize,[],[normalize_21_42]) ).
cnf(refute_21_240,plain,
( op(e1,e2) != e0
| op(e1,e4) != e0
| op(e1,e2) = op(e1,e4) ),
introduced(tautology,[equality,[$cnf( ~ $equal(op(e1,e2),op(e1,e4)) ),[1],$fot(e0)]]) ).
cnf(refute_21_241,plain,
( op(e1,e2) != e0
| op(e1,e2) = op(e1,e4) ),
inference(resolve,[$cnf( $equal(op(e1,e4),e0) )],[refute_21_125,refute_21_240]) ).
cnf(refute_21_242,plain,
op(e1,e2) != e0,
inference(resolve,[$cnf( $equal(op(e1,e2),op(e1,e4)) )],[refute_21_241,refute_21_239]) ).
cnf(refute_21_243,plain,
( op(e1,e2) = e1
| op(e1,e2) = e2
| op(e1,e2) = e3
| op(e1,e2) = e4 ),
inference(resolve,[$cnf( $equal(op(e1,e2),e0) )],[refute_21_238,refute_21_242]) ).
cnf(refute_21_244,plain,
op(e1,e0) != op(e1,e2),
inference(canonicalize,[],[normalize_21_43]) ).
cnf(refute_21_245,plain,
op(e1,unit) = e1,
inference(canonicalize,[],[normalize_21_44]) ).
cnf(refute_21_246,plain,
op(e1,unit) = op(e1,unit),
introduced(tautology,[refl,[$fot(op(e1,unit))]]) ).
cnf(refute_21_247,plain,
( op(e1,unit) != op(e1,unit)
| unit != e0
| op(e1,unit) = op(e1,e0) ),
introduced(tautology,[equality,[$cnf( $equal(op(e1,unit),op(e1,unit)) ),[1,1],$fot(e0)]]) ).
cnf(refute_21_248,plain,
( unit != e0
| op(e1,unit) = op(e1,e0) ),
inference(resolve,[$cnf( $equal(op(e1,unit),op(e1,unit)) )],[refute_21_246,refute_21_247]) ).
cnf(refute_21_249,plain,
op(e1,unit) = op(e1,e0),
inference(resolve,[$cnf( $equal(unit,e0) )],[refute_21_146,refute_21_248]) ).
cnf(refute_21_250,plain,
( op(e1,unit) != e1
| op(e1,unit) != op(e1,e0)
| op(e1,e0) = e1 ),
introduced(tautology,[equality,[$cnf( $equal(op(e1,unit),e1) ),[0],$fot(op(e1,e0))]]) ).
cnf(refute_21_251,plain,
( op(e1,unit) != e1
| op(e1,e0) = e1 ),
inference(resolve,[$cnf( $equal(op(e1,unit),op(e1,e0)) )],[refute_21_249,refute_21_250]) ).
cnf(refute_21_252,plain,
op(e1,e0) = e1,
inference(resolve,[$cnf( $equal(op(e1,unit),e1) )],[refute_21_245,refute_21_251]) ).
cnf(refute_21_253,plain,
( e1 != op(e1,e2)
| op(e1,e0) != e1
| op(e1,e0) = op(e1,e2) ),
introduced(tautology,[equality,[$cnf( $equal(op(e1,e0),e1) ),[1],$fot(op(e1,e2))]]) ).
cnf(refute_21_254,plain,
( e1 != op(e1,e2)
| op(e1,e0) = op(e1,e2) ),
inference(resolve,[$cnf( $equal(op(e1,e0),e1) )],[refute_21_252,refute_21_253]) ).
cnf(refute_21_255,plain,
e1 != op(e1,e2),
inference(resolve,[$cnf( $equal(op(e1,e0),op(e1,e2)) )],[refute_21_254,refute_21_244]) ).
cnf(refute_21_256,plain,
( op(e1,e2) != e1
| e1 = op(e1,e2) ),
inference(subst,[],[refute_21_17:[bind(X,$fot(op(e1,e2))),bind(Y,$fot(e1))]]) ).
cnf(refute_21_257,plain,
op(e1,e2) != e1,
inference(resolve,[$cnf( $equal(e1,op(e1,e2)) )],[refute_21_256,refute_21_255]) ).
cnf(refute_21_258,plain,
( op(e1,e2) = e2
| op(e1,e2) = e3
| op(e1,e2) = e4 ),
inference(resolve,[$cnf( $equal(op(e1,e2),e1) )],[refute_21_243,refute_21_257]) ).
cnf(refute_21_259,plain,
op(e0,e2) != op(e1,e2),
inference(canonicalize,[],[normalize_21_45]) ).
cnf(refute_21_260,plain,
( e2 != op(e1,e2)
| op(e0,e2) != e2
| op(e0,e2) = op(e1,e2) ),
introduced(tautology,[equality,[$cnf( $equal(op(e0,e2),e2) ),[1],$fot(op(e1,e2))]]) ).
cnf(refute_21_261,plain,
( e2 != op(e1,e2)
| op(e0,e2) = op(e1,e2) ),
inference(resolve,[$cnf( $equal(op(e0,e2),e2) )],[refute_21_153,refute_21_260]) ).
cnf(refute_21_262,plain,
e2 != op(e1,e2),
inference(resolve,[$cnf( $equal(op(e0,e2),op(e1,e2)) )],[refute_21_261,refute_21_259]) ).
cnf(refute_21_263,plain,
( op(e1,e2) != e2
| e2 = op(e1,e2) ),
inference(subst,[],[refute_21_17:[bind(X,$fot(op(e1,e2))),bind(Y,$fot(e2))]]) ).
cnf(refute_21_264,plain,
op(e1,e2) != e2,
inference(resolve,[$cnf( $equal(e2,op(e1,e2)) )],[refute_21_263,refute_21_262]) ).
cnf(refute_21_265,plain,
( op(e1,e2) = e3
| op(e1,e2) = e4 ),
inference(resolve,[$cnf( $equal(op(e1,e2),e2) )],[refute_21_258,refute_21_264]) ).
cnf(refute_21_266,plain,
op(e1,e2) != op(e1,e3),
inference(canonicalize,[],[normalize_21_46]) ).
cnf(refute_21_267,plain,
( op(e1,e2) != e4
| op(e1,e3) != e4
| op(e1,e2) = op(e1,e3) ),
introduced(tautology,[equality,[$cnf( ~ $equal(op(e1,e2),op(e1,e3)) ),[1],$fot(e4)]]) ).
cnf(refute_21_268,plain,
( op(e1,e2) != e4
| op(e1,e2) = op(e1,e3) ),
inference(resolve,[$cnf( $equal(op(e1,e3),e4) )],[refute_21_65,refute_21_267]) ).
cnf(refute_21_269,plain,
op(e1,e2) != e4,
inference(resolve,[$cnf( $equal(op(e1,e2),op(e1,e3)) )],[refute_21_268,refute_21_266]) ).
cnf(refute_21_270,plain,
op(e1,e2) = e3,
inference(resolve,[$cnf( $equal(op(e1,e2),e4) )],[refute_21_265,refute_21_269]) ).
cnf(refute_21_271,plain,
op(op(e1,e2),e2) = op(op(e1,e2),e2),
introduced(tautology,[refl,[$fot(op(op(e1,e2),e2))]]) ).
cnf(refute_21_272,plain,
( op(e1,e2) != e3
| op(op(e1,e2),e2) != op(op(e1,e2),e2)
| op(op(e1,e2),e2) = op(e3,e2) ),
introduced(tautology,[equality,[$cnf( $equal(op(op(e1,e2),e2),op(op(e1,e2),e2)) ),[1,0],$fot(e3)]]) ).
cnf(refute_21_273,plain,
( op(e1,e2) != e3
| op(op(e1,e2),e2) = op(e3,e2) ),
inference(resolve,[$cnf( $equal(op(op(e1,e2),e2),op(op(e1,e2),e2)) )],[refute_21_271,refute_21_272]) ).
cnf(refute_21_274,plain,
op(op(e1,e2),e2) = op(e3,e2),
inference(resolve,[$cnf( $equal(op(e1,e2),e3) )],[refute_21_270,refute_21_273]) ).
cnf(refute_21_275,plain,
( op(e3,e2) != e1
| op(op(e1,e2),e2) != op(e3,e2)
| op(op(e1,e2),e2) = e1 ),
inference(subst,[],[refute_21_42:[bind(X,$fot(op(op(e1,e2),e2))),bind(Y,$fot(op(e3,e2))),bind(Z,$fot(e1))]]) ).
cnf(refute_21_276,plain,
( op(e3,e2) != e1
| op(op(e1,e2),e2) = e1 ),
inference(resolve,[$cnf( $equal(op(op(e1,e2),e2),op(e3,e2)) )],[refute_21_274,refute_21_275]) ).
cnf(refute_21_277,plain,
op(op(e1,e2),e2) = e1,
inference(resolve,[$cnf( $equal(op(e3,e2),e1) )],[refute_21_237,refute_21_276]) ).
cnf(refute_21_278,plain,
( e1 != e1
| op(op(e1,e2),e2) != e1
| op(op(e1,e2),e2) = e1 ),
introduced(tautology,[equality,[$cnf( $equal(op(op(e1,e2),e2),e1) ),[0,0,0],$fot(e1)]]) ).
cnf(refute_21_279,plain,
( e1 != e1
| op(op(e1,e2),e2) = e1 ),
inference(resolve,[$cnf( $equal(op(op(e1,e2),e2),e1) )],[refute_21_277,refute_21_278]) ).
cnf(refute_21_280,plain,
( e1 != e1
| op(e2,e1) = op(e1,e2)
| op(op(e1,e2),e1) = e2 ),
inference(resolve,[$cnf( $equal(op(op(e1,e2),e2),e1) )],[refute_21_279,refute_21_0]) ).
cnf(refute_21_281,plain,
op(unit,e1) = op(unit,e1),
introduced(tautology,[refl,[$fot(op(unit,e1))]]) ).
cnf(refute_21_282,plain,
( op(unit,e1) != op(unit,e1)
| unit != e0
| op(unit,e1) = op(e0,e1) ),
introduced(tautology,[equality,[$cnf( $equal(op(unit,e1),op(unit,e1)) ),[1,0],$fot(e0)]]) ).
cnf(refute_21_283,plain,
( unit != e0
| op(unit,e1) = op(e0,e1) ),
inference(resolve,[$cnf( $equal(op(unit,e1),op(unit,e1)) )],[refute_21_281,refute_21_282]) ).
cnf(refute_21_284,plain,
op(unit,e1) = op(e0,e1),
inference(resolve,[$cnf( $equal(unit,e0) )],[refute_21_146,refute_21_283]) ).
cnf(refute_21_285,plain,
( op(unit,e1) != e1
| op(unit,e1) != op(e0,e1)
| op(e0,e1) = e1 ),
introduced(tautology,[equality,[$cnf( $equal(op(unit,e1),e1) ),[0],$fot(op(e0,e1))]]) ).
cnf(refute_21_286,plain,
( op(unit,e1) != e1
| op(e0,e1) = e1 ),
inference(resolve,[$cnf( $equal(op(unit,e1),op(e0,e1)) )],[refute_21_284,refute_21_285]) ).
cnf(refute_21_287,plain,
op(e0,e1) = e1,
inference(resolve,[$cnf( $equal(op(unit,e1),e1) )],[refute_21_6,refute_21_286]) ).
cnf(refute_21_288,plain,
( op(e0,e1) != e0
| op(e0,e1) != e1
| e1 = e0 ),
introduced(tautology,[equality,[$cnf( $equal(op(e0,e1),e0) ),[0],$fot(e1)]]) ).
cnf(refute_21_289,plain,
( op(e0,e1) != e0
| e1 = e0 ),
inference(resolve,[$cnf( $equal(op(e0,e1),e1) )],[refute_21_287,refute_21_288]) ).
cnf(refute_21_290,plain,
( e1 = e0
| op(e2,e1) = e0 ),
inference(resolve,[$cnf( $equal(op(e0,e1),e0) )],[refute_21_129,refute_21_289]) ).
cnf(refute_21_291,plain,
( e1 != e0
| e0 = e1 ),
inference(subst,[],[refute_21_17:[bind(X,$fot(e1)),bind(Y,$fot(e0))]]) ).
cnf(refute_21_292,plain,
e1 != e0,
inference(resolve,[$cnf( $equal(e0,e1) )],[refute_21_291,refute_21_133]) ).
cnf(refute_21_293,plain,
op(e2,e1) = e0,
inference(resolve,[$cnf( $equal(e1,e0) )],[refute_21_290,refute_21_292]) ).
cnf(refute_21_294,plain,
( op(e2,e1) != e0
| op(e2,e1) != op(e1,e2)
| e0 = op(e1,e2) ),
introduced(tautology,[equality,[$cnf( $equal(op(e2,e1),op(e1,e2)) ),[0],$fot(e0)]]) ).
cnf(refute_21_295,plain,
( op(e2,e1) != op(e1,e2)
| e0 = op(e1,e2) ),
inference(resolve,[$cnf( $equal(op(e2,e1),e0) )],[refute_21_293,refute_21_294]) ).
cnf(refute_21_296,plain,
( e0 != op(e1,e2)
| op(e1,e2) != e3
| e0 = e3 ),
introduced(tautology,[equality,[$cnf( ~ $equal(e0,e3) ),[0],$fot(op(e1,e2))]]) ).
cnf(refute_21_297,plain,
( e0 != op(e1,e2)
| e0 = e3 ),
inference(resolve,[$cnf( $equal(op(e1,e2),e3) )],[refute_21_270,refute_21_296]) ).
cnf(refute_21_298,plain,
( op(e2,e1) != op(e1,e2)
| e0 = e3 ),
inference(resolve,[$cnf( $equal(e0,op(e1,e2)) )],[refute_21_295,refute_21_297]) ).
cnf(refute_21_299,plain,
( e1 != e1
| e0 = e3
| op(op(e1,e2),e1) = e2 ),
inference(resolve,[$cnf( $equal(op(e2,e1),op(e1,e2)) )],[refute_21_280,refute_21_298]) ).
cnf(refute_21_300,plain,
op(op(e1,e2),e1) = op(op(e1,e2),e1),
introduced(tautology,[refl,[$fot(op(op(e1,e2),e1))]]) ).
cnf(refute_21_301,plain,
( op(e1,e2) != e3
| op(op(e1,e2),e1) != op(op(e1,e2),e1)
| op(op(e1,e2),e1) = op(e3,e1) ),
introduced(tautology,[equality,[$cnf( $equal(op(op(e1,e2),e1),op(op(e1,e2),e1)) ),[1,0],$fot(e3)]]) ).
cnf(refute_21_302,plain,
( op(e1,e2) != e3
| op(op(e1,e2),e1) = op(e3,e1) ),
inference(resolve,[$cnf( $equal(op(op(e1,e2),e1),op(op(e1,e2),e1)) )],[refute_21_300,refute_21_301]) ).
cnf(refute_21_303,plain,
op(op(e1,e2),e1) = op(e3,e1),
inference(resolve,[$cnf( $equal(op(e1,e2),e3) )],[refute_21_270,refute_21_302]) ).
cnf(refute_21_304,plain,
( op(e3,e1) != e4
| op(op(e1,e2),e1) != op(e3,e1)
| op(op(e1,e2),e1) = e4 ),
inference(subst,[],[refute_21_42:[bind(X,$fot(op(op(e1,e2),e1))),bind(Y,$fot(op(e3,e1))),bind(Z,$fot(e4))]]) ).
cnf(refute_21_305,plain,
( op(e3,e1) != e4
| op(op(e1,e2),e1) = e4 ),
inference(resolve,[$cnf( $equal(op(op(e1,e2),e1),op(e3,e1)) )],[refute_21_303,refute_21_304]) ).
cnf(refute_21_306,plain,
op(op(e1,e2),e1) = e4,
inference(resolve,[$cnf( $equal(op(e3,e1),e4) )],[refute_21_36,refute_21_305]) ).
cnf(refute_21_307,plain,
( op(op(e1,e2),e1) != e2
| op(op(e1,e2),e1) != e4
| e4 = e2 ),
introduced(tautology,[equality,[$cnf( $equal(op(op(e1,e2),e1),e2) ),[0],$fot(e4)]]) ).
cnf(refute_21_308,plain,
( op(op(e1,e2),e1) != e2
| e4 = e2 ),
inference(resolve,[$cnf( $equal(op(op(e1,e2),e1),e4) )],[refute_21_306,refute_21_307]) ).
cnf(refute_21_309,plain,
( e1 != e1
| e0 = e3
| e4 = e2 ),
inference(resolve,[$cnf( $equal(op(op(e1,e2),e1),e2) )],[refute_21_299,refute_21_308]) ).
cnf(refute_21_310,plain,
e1 = e1,
introduced(tautology,[refl,[$fot(e1)]]) ).
cnf(refute_21_311,plain,
( e0 = e3
| e4 = e2 ),
inference(resolve,[$cnf( $equal(e1,e1) )],[refute_21_310,refute_21_309]) ).
cnf(refute_21_312,plain,
e4 = e2,
inference(resolve,[$cnf( $equal(e0,e3) )],[refute_21_311,refute_21_104]) ).
cnf(refute_21_313,plain,
e2 != e4,
inference(canonicalize,[],[normalize_21_47]) ).
cnf(refute_21_314,plain,
( e4 != e2
| e2 = e4 ),
inference(subst,[],[refute_21_17:[bind(X,$fot(e4)),bind(Y,$fot(e2))]]) ).
cnf(refute_21_315,plain,
e4 != e2,
inference(resolve,[$cnf( $equal(e2,e4) )],[refute_21_314,refute_21_313]) ).
cnf(refute_21_316,plain,
$false,
inference(resolve,[$cnf( $equal(e4,e2) )],[refute_21_312,refute_21_315]) ).
fof(negate_22_0,plain,
~ ( ( ( ( op(e0,e0) = e0
& op(e0,e0) = e0
& op(e0,e0) != e0 )
| ( op(e0,e0) = e1
& op(e1,e1) = e0
& op(e0,e1) != e0 )
| ( op(e0,e0) = e2
& op(e2,e2) = e0
& op(e0,e2) != e0 )
| ( op(e0,e0) = e3
& op(e3,e3) = e0
& op(e0,e3) != e0 )
| ( op(e0,e0) = e4
& op(e4,e4) = e0
& op(e0,e4) != e0 )
| ( op(e1,e1) = e0
& op(e0,e0) = e1
& op(e1,e0) != e1 )
| ( op(e1,e1) = e1
& op(e1,e1) = e1
& op(e1,e1) != e1 )
| ( op(e1,e1) = e2
& op(e2,e2) = e1
& op(e1,e2) != e1 )
| ( op(e1,e1) = e3
& op(e3,e3) = e1
& op(e1,e3) != e1 )
| ( op(e1,e1) = e4
& op(e4,e4) = e1
& op(e1,e4) != e1 )
| ( op(e2,e2) = e0
& op(e0,e0) = e2
& op(e2,e0) != e2 )
| ( op(e2,e2) = e1
& op(e1,e1) = e2
& op(e2,e1) != e2 )
| ( op(e2,e2) = e2
& op(e2,e2) = e2
& op(e2,e2) != e2 )
| ( op(e2,e2) = e3
& op(e3,e3) = e2
& op(e2,e3) != e2 )
| ( op(e2,e2) = e4
& op(e4,e4) = e2
& op(e2,e4) != e2 )
| ( op(e3,e3) = e0
& op(e0,e0) = e3
& op(e3,e0) != e3 )
| ( op(e3,e3) = e1
& op(e1,e1) = e3
& op(e3,e1) != e3 )
| ( op(e3,e3) = e2
& op(e2,e2) = e3
& op(e3,e2) != e3 )
| ( op(e3,e3) = e3
& op(e3,e3) = e3
& op(e3,e3) != e3 )
| ( op(e3,e3) = e4
& op(e4,e4) = e3
& op(e3,e4) != e3 )
| ( op(e4,e4) = e0
& op(e0,e0) = e4
& op(e4,e0) != e4 )
| ( op(e4,e4) = e1
& op(e1,e1) = e4
& op(e4,e1) != e4 )
| ( op(e4,e4) = e2
& op(e2,e2) = e4
& op(e4,e2) != e4 )
| ( op(e4,e4) = e3
& op(e3,e3) = e4
& op(e4,e3) != e4 )
| ( op(e4,e4) = e4
& op(e4,e4) = e4
& op(e4,e4) != e4 ) )
& ~ ( op(e0,e0) != op(e0,e0)
& op(op(e0,e0),e0) = e0
& op(op(e0,e0),e0) != e0 )
& ~ ( op(e1,e0) != op(e0,e1)
& op(op(e0,e1),e1) = e0
& op(op(e0,e1),e0) != e1 )
& ~ ( op(e2,e0) != op(e0,e2)
& op(op(e0,e2),e2) = e0
& op(op(e0,e2),e0) != e2 )
& ~ ( op(e3,e0) != op(e0,e3)
& op(op(e0,e3),e3) = e0
& op(op(e0,e3),e0) != e3 )
& ~ ( op(e4,e0) != op(e0,e4)
& op(op(e0,e4),e4) = e0
& op(op(e0,e4),e0) != e4 )
& ~ ( op(e0,e1) != op(e1,e0)
& op(op(e1,e0),e0) = e1
& op(op(e1,e0),e1) != e0 )
& ~ ( op(e1,e1) != op(e1,e1)
& op(op(e1,e1),e1) = e1
& op(op(e1,e1),e1) != e1 )
& ~ ( op(e2,e1) != op(e1,e2)
& op(op(e1,e2),e2) = e1
& op(op(e1,e2),e1) != e2 )
& ~ ( op(e3,e1) != op(e1,e3)
& op(op(e1,e3),e3) = e1
& op(op(e1,e3),e1) != e3 )
& ~ ( op(e4,e1) != op(e1,e4)
& op(op(e1,e4),e4) = e1
& op(op(e1,e4),e1) != e4 )
& ~ ( op(e0,e2) != op(e2,e0)
& op(op(e2,e0),e0) = e2
& op(op(e2,e0),e2) != e0 )
& ~ ( op(e1,e2) != op(e2,e1)
& op(op(e2,e1),e1) = e2
& op(op(e2,e1),e2) != e1 )
& ~ ( op(e2,e2) != op(e2,e2)
& op(op(e2,e2),e2) = e2
& op(op(e2,e2),e2) != e2 )
& ~ ( op(e3,e2) != op(e2,e3)
& op(op(e2,e3),e3) = e2
& op(op(e2,e3),e2) != e3 )
& ~ ( op(e4,e2) != op(e2,e4)
& op(op(e2,e4),e4) = e2
& op(op(e2,e4),e2) != e4 )
& ~ ( op(e0,e3) != op(e3,e0)
& op(op(e3,e0),e0) = e3
& op(op(e3,e0),e3) != e0 )
& ~ ( op(e1,e3) != op(e3,e1)
& op(op(e3,e1),e1) = e3
& op(op(e3,e1),e3) != e1 )
& ~ ( op(e2,e3) != op(e3,e2)
& op(op(e3,e2),e2) = e3
& op(op(e3,e2),e3) != e2 )
& ~ ( op(e3,e3) != op(e3,e3)
& op(op(e3,e3),e3) = e3
& op(op(e3,e3),e3) != e3 )
& ~ ( op(e4,e3) != op(e3,e4)
& op(op(e3,e4),e4) = e3
& op(op(e3,e4),e3) != e4 )
& ~ ( op(e0,e4) != op(e4,e0)
& op(op(e4,e0),e0) = e4
& op(op(e4,e0),e4) != e0 )
& ~ ( op(e1,e4) != op(e4,e1)
& op(op(e4,e1),e1) = e4
& op(op(e4,e1),e4) != e1 )
& op(e2,e4) != op(e4,e2)
& op(op(e4,e2),e2) = e4 )
=> op(op(e4,e2),e4) = e2 ),
inference(negate,[],[subgoal_22]) ).
fof(normalize_22_0,plain,
( e0 = op(op(e4,e4),e4)
& e1 = op(e4,e4)
& e2 = op(op(e4,op(e4,e4)),e4)
& e3 = op(e4,op(e4,e4)) ),
inference(canonicalize,[],[ax6]) ).
fof(normalize_22_1,plain,
e1 = op(e4,e4),
inference(conjunct,[],[normalize_22_0]) ).
fof(normalize_22_2,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,[],[ax3]) ).
fof(normalize_22_3,plain,
( op(e0,e4) = e3
| op(e1,e4) = e3
| op(e2,e4) = e3
| op(e3,e4) = e3
| op(e4,e4) = e3 ),
inference(conjunct,[],[normalize_22_2]) ).
fof(normalize_22_4,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_22_5,plain,
op(e4,e1) != op(e4,e4),
inference(conjunct,[],[normalize_22_4]) ).
fof(normalize_22_6,plain,
e3 = op(e4,op(e4,e4)),
inference(conjunct,[],[normalize_22_0]) ).
fof(normalize_22_7,plain,
e0 = op(op(e4,e4),e4),
inference(conjunct,[],[normalize_22_0]) ).
fof(normalize_22_8,plain,
e2 = op(op(e4,op(e4,e4)),e4),
inference(conjunct,[],[normalize_22_0]) ).
fof(normalize_22_9,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_22_10,plain,
e0 != e3,
inference(conjunct,[],[normalize_22_9]) ).
fof(normalize_22_11,plain,
e2 != e3,
inference(conjunct,[],[normalize_22_9]) ).
fof(normalize_22_12,plain,
( op(e0,unit) = e0
& op(e1,unit) = e1
& op(e2,unit) = e2
& op(e3,unit) = e3
& op(e4,unit) = e4
& op(unit,e0) = e0
& op(unit,e1) = e1
& op(unit,e2) = e2
& op(unit,e3) = e3
& op(unit,e4) = e4
& ( unit = e0
| unit = e1
| unit = e2
| unit = e3
| unit = e4 ) ),
inference(canonicalize,[],[ax2]) ).
fof(normalize_22_13,plain,
op(unit,e4) = e4,
inference(conjunct,[],[normalize_22_12]) ).
fof(normalize_22_14,plain,
( op(e2,e4) != op(e4,e2)
& op(op(e4,e2),e4) != e2
& op(op(e4,e2),e2) = e4
& ( op(op(e0,e1),e1) != e0
| op(e1,e0) = op(e0,e1)
| op(op(e0,e1),e0) = e1 )
& ( op(op(e0,e2),e2) != e0
| op(e2,e0) = op(e0,e2)
| op(op(e0,e2),e0) = e2 )
& ( op(op(e0,e3),e3) != e0
| op(e3,e0) = op(e0,e3)
| op(op(e0,e3),e0) = e3 )
& ( op(op(e0,e4),e4) != e0
| op(e4,e0) = op(e0,e4)
| op(op(e0,e4),e0) = e4 )
& ( op(op(e1,e0),e0) != e1
| op(e0,e1) = op(e1,e0)
| op(op(e1,e0),e1) = e0 )
& ( op(op(e1,e2),e2) != e1
| op(e2,e1) = op(e1,e2)
| op(op(e1,e2),e1) = e2 )
& ( op(op(e1,e3),e3) != e1
| op(e3,e1) = op(e1,e3)
| op(op(e1,e3),e1) = e3 )
& ( op(op(e1,e4),e4) != e1
| op(e4,e1) = op(e1,e4)
| op(op(e1,e4),e1) = e4 )
& ( op(op(e2,e0),e0) != e2
| op(e0,e2) = op(e2,e0)
| op(op(e2,e0),e2) = e0 )
& ( op(op(e2,e1),e1) != e2
| op(e1,e2) = op(e2,e1)
| op(op(e2,e1),e2) = e1 )
& ( op(op(e2,e3),e3) != e2
| op(e3,e2) = op(e2,e3)
| op(op(e2,e3),e2) = e3 )
& ( op(op(e2,e4),e4) != e2
| op(e4,e2) = op(e2,e4)
| op(op(e2,e4),e2) = e4 )
& ( op(op(e3,e0),e0) != e3
| op(e0,e3) = op(e3,e0)
| op(op(e3,e0),e3) = e0 )
& ( op(op(e3,e1),e1) != e3
| op(e1,e3) = op(e3,e1)
| op(op(e3,e1),e3) = e1 )
& ( op(op(e3,e2),e2) != e3
| op(e2,e3) = op(e3,e2)
| op(op(e3,e2),e3) = e2 )
& ( op(op(e3,e4),e4) != e3
| op(e4,e3) = op(e3,e4)
| op(op(e3,e4),e3) = e4 )
& ( op(op(e4,e0),e0) != e4
| op(e0,e4) = op(e4,e0)
| op(op(e4,e0),e4) = e0 )
& ( op(op(e4,e1),e1) != e4
| op(e1,e4) = op(e4,e1)
| op(op(e4,e1),e4) = e1 )
& ( ( op(e0,e1) != e0
& op(e0,e0) = e1
& op(e1,e1) = e0 )
| ( op(e0,e2) != e0
& op(e0,e0) = e2
& op(e2,e2) = e0 )
| ( op(e0,e3) != e0
& op(e0,e0) = e3
& op(e3,e3) = e0 )
| ( op(e0,e4) != e0
& op(e0,e0) = e4
& op(e4,e4) = e0 )
| ( op(e1,e0) != e1
& op(e0,e0) = e1
& op(e1,e1) = e0 )
| ( op(e1,e2) != e1
& op(e1,e1) = e2
& op(e2,e2) = e1 )
| ( op(e1,e3) != e1
& op(e1,e1) = e3
& op(e3,e3) = e1 )
| ( op(e1,e4) != e1
& op(e1,e1) = e4
& op(e4,e4) = e1 )
| ( op(e2,e0) != e2
& op(e0,e0) = e2
& op(e2,e2) = e0 )
| ( op(e2,e1) != e2
& op(e1,e1) = e2
& op(e2,e2) = e1 )
| ( op(e2,e3) != e2
& op(e2,e2) = e3
& op(e3,e3) = e2 )
| ( op(e2,e4) != e2
& op(e2,e2) = e4
& op(e4,e4) = e2 )
| ( op(e3,e0) != e3
& op(e0,e0) = e3
& op(e3,e3) = e0 )
| ( op(e3,e1) != e3
& op(e1,e1) = e3
& op(e3,e3) = e1 )
| ( op(e3,e2) != e3
& op(e2,e2) = e3
& op(e3,e3) = e2 )
| ( op(e3,e4) != e3
& op(e3,e3) = e4
& op(e4,e4) = e3 )
| ( op(e4,e0) != e4
& op(e0,e0) = e4
& op(e4,e4) = e0 )
| ( op(e4,e1) != e4
& op(e1,e1) = e4
& op(e4,e4) = e1 )
| ( op(e4,e2) != e4
& op(e2,e2) = e4
& op(e4,e4) = e2 )
| ( op(e4,e3) != e4
& op(e3,e3) = e4
& op(e4,e4) = e3 ) ) ),
inference(canonicalize,[],[negate_22_0]) ).
fof(normalize_22_15,plain,
op(e2,e4) != op(e4,e2),
inference(conjunct,[],[normalize_22_14]) ).
fof(normalize_22_16,plain,
( unit = e0
| unit = e1
| unit = e2
| unit = e3
| unit = e4 ),
inference(conjunct,[],[normalize_22_12]) ).
fof(normalize_22_17,plain,
e2 != e4,
inference(conjunct,[],[normalize_22_9]) ).
fof(normalize_22_18,plain,
e0 != e4,
inference(conjunct,[],[normalize_22_9]) ).
fof(normalize_22_19,plain,
e1 != e4,
inference(conjunct,[],[normalize_22_9]) ).
fof(normalize_22_20,plain,
op(e4,unit) = e4,
inference(conjunct,[],[normalize_22_12]) ).
fof(normalize_22_21,plain,
e3 != e4,
inference(conjunct,[],[normalize_22_9]) ).
fof(normalize_22_22,plain,
op(op(e4,e2),e2) = e4,
inference(conjunct,[],[normalize_22_14]) ).
fof(normalize_22_23,plain,
op(unit,e2) = e2,
inference(conjunct,[],[normalize_22_12]) ).
fof(normalize_22_24,plain,
op(e3,e2) != op(e4,e2),
inference(conjunct,[],[normalize_22_4]) ).
fof(normalize_22_25,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_22_26,plain,
( op(e4,e2) = e0
| op(e4,e2) = e1
| op(e4,e2) = e2
| op(e4,e2) = e3
| op(e4,e2) = e4 ),
inference(conjunct,[],[normalize_22_25]) ).
fof(normalize_22_27,plain,
op(e4,e2) != op(e4,e4),
inference(conjunct,[],[normalize_22_4]) ).
fof(normalize_22_28,plain,
op(e4,e1) != op(e4,e2),
inference(conjunct,[],[normalize_22_4]) ).
fof(normalize_22_29,plain,
( op(op(e2,e4),e4) != e2
| op(e4,e2) = op(e2,e4)
| op(op(e2,e4),e2) = e4 ),
inference(conjunct,[],[normalize_22_14]) ).
fof(normalize_22_30,plain,
op(e0,e2) != op(e4,e2),
inference(conjunct,[],[normalize_22_4]) ).
fof(normalize_22_31,plain,
op(e0,unit) = e0,
inference(conjunct,[],[normalize_22_12]) ).
cnf(refute_22_0,plain,
e1 = op(e4,e4),
inference(canonicalize,[],[normalize_22_1]) ).
cnf(refute_22_1,plain,
( op(e0,e4) = e3
| op(e1,e4) = e3
| op(e2,e4) = e3
| op(e3,e4) = e3
| op(e4,e4) = e3 ),
inference(canonicalize,[],[normalize_22_3]) ).
cnf(refute_22_2,plain,
X = X,
introduced(tautology,[refl,[$fot(X)]]) ).
cnf(refute_22_3,plain,
( X != X
| X != Y
| Y = X ),
introduced(tautology,[equality,[$cnf( $equal(X,X) ),[0],$fot(Y)]]) ).
cnf(refute_22_4,plain,
( X != Y
| Y = X ),
inference(resolve,[$cnf( $equal(X,X) )],[refute_22_2,refute_22_3]) ).
cnf(refute_22_5,plain,
( e1 != op(e4,e4)
| op(e4,e4) = e1 ),
inference(subst,[],[refute_22_4:[bind(X,$fot(e1)),bind(Y,$fot(op(e4,e4)))]]) ).
cnf(refute_22_6,plain,
op(e4,e4) = e1,
inference(resolve,[$cnf( $equal(e1,op(e4,e4)) )],[refute_22_0,refute_22_5]) ).
cnf(refute_22_7,plain,
( op(e4,e4) != e1
| op(e4,e4) != e3
| e1 = e3 ),
introduced(tautology,[equality,[$cnf( $equal(op(e4,e4),e3) ),[0],$fot(e1)]]) ).
cnf(refute_22_8,plain,
( op(e4,e4) != e3
| e1 = e3 ),
inference(resolve,[$cnf( $equal(op(e4,e4),e1) )],[refute_22_6,refute_22_7]) ).
cnf(refute_22_9,plain,
( e1 = e3
| op(e0,e4) = e3
| op(e1,e4) = e3
| op(e2,e4) = e3
| op(e3,e4) = e3 ),
inference(resolve,[$cnf( $equal(op(e4,e4),e3) )],[refute_22_1,refute_22_8]) ).
cnf(refute_22_10,plain,
op(e4,e1) != op(e4,e4),
inference(canonicalize,[],[normalize_22_5]) ).
cnf(refute_22_11,plain,
e3 = op(e4,op(e4,e4)),
inference(canonicalize,[],[normalize_22_6]) ).
cnf(refute_22_12,plain,
op(e4,op(e4,e4)) = op(e4,op(e4,e4)),
introduced(tautology,[refl,[$fot(op(e4,op(e4,e4)))]]) ).
cnf(refute_22_13,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_22_14,plain,
( op(e4,e4) != e1
| op(e4,op(e4,e4)) = op(e4,e1) ),
inference(resolve,[$cnf( $equal(op(e4,op(e4,e4)),op(e4,op(e4,e4))) )],[refute_22_12,refute_22_13]) ).
cnf(refute_22_15,plain,
op(e4,op(e4,e4)) = op(e4,e1),
inference(resolve,[$cnf( $equal(op(e4,e4),e1) )],[refute_22_6,refute_22_14]) ).
cnf(refute_22_16,plain,
( e3 != op(e4,op(e4,e4))
| op(e4,op(e4,e4)) != op(e4,e1)
| e3 = op(e4,e1) ),
introduced(tautology,[equality,[$cnf( ~ $equal(e3,op(e4,e1)) ),[0],$fot(op(e4,op(e4,e4)))]]) ).
cnf(refute_22_17,plain,
( e3 != op(e4,op(e4,e4))
| e3 = op(e4,e1) ),
inference(resolve,[$cnf( $equal(op(e4,op(e4,e4)),op(e4,e1)) )],[refute_22_15,refute_22_16]) ).
cnf(refute_22_18,plain,
e3 = op(e4,e1),
inference(resolve,[$cnf( $equal(e3,op(e4,op(e4,e4))) )],[refute_22_11,refute_22_17]) ).
cnf(refute_22_19,plain,
( e3 != op(e4,e1)
| op(e4,e1) = e3 ),
inference(subst,[],[refute_22_4:[bind(X,$fot(e3)),bind(Y,$fot(op(e4,e1)))]]) ).
cnf(refute_22_20,plain,
op(e4,e1) = e3,
inference(resolve,[$cnf( $equal(e3,op(e4,e1)) )],[refute_22_18,refute_22_19]) ).
cnf(refute_22_21,plain,
( e3 != op(e4,e4)
| op(e4,e1) != e3
| op(e4,e1) = op(e4,e4) ),
introduced(tautology,[equality,[$cnf( $equal(op(e4,e1),e3) ),[1],$fot(op(e4,e4))]]) ).
cnf(refute_22_22,plain,
( e3 != op(e4,e4)
| op(e4,e1) = op(e4,e4) ),
inference(resolve,[$cnf( $equal(op(e4,e1),e3) )],[refute_22_20,refute_22_21]) ).
cnf(refute_22_23,plain,
( e3 != e1
| op(e4,e4) != e1
| e3 = op(e4,e4) ),
introduced(tautology,[equality,[$cnf( ~ $equal(e3,op(e4,e4)) ),[1],$fot(e1)]]) ).
cnf(refute_22_24,plain,
( e3 != e1
| e3 = op(e4,e4) ),
inference(resolve,[$cnf( $equal(op(e4,e4),e1) )],[refute_22_6,refute_22_23]) ).
cnf(refute_22_25,plain,
( e3 != e1
| op(e4,e1) = op(e4,e4) ),
inference(resolve,[$cnf( $equal(e3,op(e4,e4)) )],[refute_22_24,refute_22_22]) ).
cnf(refute_22_26,plain,
e3 != e1,
inference(resolve,[$cnf( $equal(op(e4,e1),op(e4,e4)) )],[refute_22_25,refute_22_10]) ).
cnf(refute_22_27,plain,
( e1 != e3
| e3 = e1 ),
inference(subst,[],[refute_22_4:[bind(X,$fot(e1)),bind(Y,$fot(e3))]]) ).
cnf(refute_22_28,plain,
e1 != e3,
inference(resolve,[$cnf( $equal(e3,e1) )],[refute_22_27,refute_22_26]) ).
cnf(refute_22_29,plain,
( op(e0,e4) = e3
| op(e1,e4) = e3
| op(e2,e4) = e3
| op(e3,e4) = e3 ),
inference(resolve,[$cnf( $equal(e1,e3) )],[refute_22_9,refute_22_28]) ).
cnf(refute_22_30,plain,
e0 = op(op(e4,e4),e4),
inference(canonicalize,[],[normalize_22_7]) ).
cnf(refute_22_31,plain,
op(op(e4,e4),e4) = op(op(e4,e4),e4),
introduced(tautology,[refl,[$fot(op(op(e4,e4),e4))]]) ).
cnf(refute_22_32,plain,
( op(e4,e4) != e1
| op(op(e4,e4),e4) != op(op(e4,e4),e4)
| op(op(e4,e4),e4) = op(e1,e4) ),
introduced(tautology,[equality,[$cnf( $equal(op(op(e4,e4),e4),op(op(e4,e4),e4)) ),[1,0],$fot(e1)]]) ).
cnf(refute_22_33,plain,
( op(e4,e4) != e1
| op(op(e4,e4),e4) = op(e1,e4) ),
inference(resolve,[$cnf( $equal(op(op(e4,e4),e4),op(op(e4,e4),e4)) )],[refute_22_31,refute_22_32]) ).
cnf(refute_22_34,plain,
op(op(e4,e4),e4) = op(e1,e4),
inference(resolve,[$cnf( $equal(op(e4,e4),e1) )],[refute_22_6,refute_22_33]) ).
cnf(refute_22_35,plain,
( e0 != op(op(e4,e4),e4)
| op(op(e4,e4),e4) != op(e1,e4)
| e0 = op(e1,e4) ),
introduced(tautology,[equality,[$cnf( ~ $equal(e0,op(e1,e4)) ),[0],$fot(op(op(e4,e4),e4))]]) ).
cnf(refute_22_36,plain,
( e0 != op(op(e4,e4),e4)
| e0 = op(e1,e4) ),
inference(resolve,[$cnf( $equal(op(op(e4,e4),e4),op(e1,e4)) )],[refute_22_34,refute_22_35]) ).
cnf(refute_22_37,plain,
e0 = op(e1,e4),
inference(resolve,[$cnf( $equal(e0,op(op(e4,e4),e4)) )],[refute_22_30,refute_22_36]) ).
cnf(refute_22_38,plain,
( e0 != op(e1,e4)
| op(e1,e4) = e0 ),
inference(subst,[],[refute_22_4:[bind(X,$fot(e0)),bind(Y,$fot(op(e1,e4)))]]) ).
cnf(refute_22_39,plain,
op(e1,e4) = e0,
inference(resolve,[$cnf( $equal(e0,op(e1,e4)) )],[refute_22_37,refute_22_38]) ).
cnf(refute_22_40,plain,
( op(e1,e4) != e0
| op(e1,e4) != e3
| e0 = e3 ),
introduced(tautology,[equality,[$cnf( $equal(op(e1,e4),e3) ),[0],$fot(e0)]]) ).
cnf(refute_22_41,plain,
( op(e1,e4) != e3
| e0 = e3 ),
inference(resolve,[$cnf( $equal(op(e1,e4),e0) )],[refute_22_39,refute_22_40]) ).
cnf(refute_22_42,plain,
( e0 = e3
| op(e0,e4) = e3
| op(e2,e4) = e3
| op(e3,e4) = e3 ),
inference(resolve,[$cnf( $equal(op(e1,e4),e3) )],[refute_22_29,refute_22_41]) ).
cnf(refute_22_43,plain,
e2 = op(op(e4,op(e4,e4)),e4),
inference(canonicalize,[],[normalize_22_8]) ).
cnf(refute_22_44,plain,
op(op(e4,op(e4,e4)),e4) = op(op(e4,op(e4,e4)),e4),
introduced(tautology,[refl,[$fot(op(op(e4,op(e4,e4)),e4))]]) ).
cnf(refute_22_45,plain,
( op(e4,op(e4,e4)) != op(e4,e1)
| op(op(e4,op(e4,e4)),e4) != op(op(e4,op(e4,e4)),e4)
| op(op(e4,op(e4,e4)),e4) = op(op(e4,e1),e4) ),
introduced(tautology,[equality,[$cnf( $equal(op(op(e4,op(e4,e4)),e4),op(op(e4,op(e4,e4)),e4)) ),[1,0],$fot(op(e4,e1))]]) ).
cnf(refute_22_46,plain,
( op(e4,op(e4,e4)) != op(e4,e1)
| op(op(e4,op(e4,e4)),e4) = op(op(e4,e1),e4) ),
inference(resolve,[$cnf( $equal(op(op(e4,op(e4,e4)),e4),op(op(e4,op(e4,e4)),e4)) )],[refute_22_44,refute_22_45]) ).
cnf(refute_22_47,plain,
op(op(e4,op(e4,e4)),e4) = op(op(e4,e1),e4),
inference(resolve,[$cnf( $equal(op(e4,op(e4,e4)),op(e4,e1)) )],[refute_22_15,refute_22_46]) ).
cnf(refute_22_48,plain,
( e2 != op(op(e4,op(e4,e4)),e4)
| op(op(e4,op(e4,e4)),e4) != op(op(e4,e1),e4)
| e2 = op(op(e4,e1),e4) ),
introduced(tautology,[equality,[$cnf( ~ $equal(e2,op(op(e4,e1),e4)) ),[0],$fot(op(op(e4,op(e4,e4)),e4))]]) ).
cnf(refute_22_49,plain,
( e2 != op(op(e4,op(e4,e4)),e4)
| e2 = op(op(e4,e1),e4) ),
inference(resolve,[$cnf( $equal(op(op(e4,op(e4,e4)),e4),op(op(e4,e1),e4)) )],[refute_22_47,refute_22_48]) ).
cnf(refute_22_50,plain,
e2 = op(op(e4,e1),e4),
inference(resolve,[$cnf( $equal(e2,op(op(e4,op(e4,e4)),e4)) )],[refute_22_43,refute_22_49]) ).
cnf(refute_22_51,plain,
op(op(e4,e1),e4) = op(op(e4,e1),e4),
introduced(tautology,[refl,[$fot(op(op(e4,e1),e4))]]) ).
cnf(refute_22_52,plain,
( op(e4,e1) != e3
| op(op(e4,e1),e4) != op(op(e4,e1),e4)
| op(op(e4,e1),e4) = op(e3,e4) ),
introduced(tautology,[equality,[$cnf( $equal(op(op(e4,e1),e4),op(op(e4,e1),e4)) ),[1,0],$fot(e3)]]) ).
cnf(refute_22_53,plain,
( op(e4,e1) != e3
| op(op(e4,e1),e4) = op(e3,e4) ),
inference(resolve,[$cnf( $equal(op(op(e4,e1),e4),op(op(e4,e1),e4)) )],[refute_22_51,refute_22_52]) ).
cnf(refute_22_54,plain,
op(op(e4,e1),e4) = op(e3,e4),
inference(resolve,[$cnf( $equal(op(e4,e1),e3) )],[refute_22_20,refute_22_53]) ).
cnf(refute_22_55,plain,
( e2 != op(op(e4,e1),e4)
| op(op(e4,e1),e4) != op(e3,e4)
| e2 = op(e3,e4) ),
introduced(tautology,[equality,[$cnf( ~ $equal(e2,op(e3,e4)) ),[0],$fot(op(op(e4,e1),e4))]]) ).
cnf(refute_22_56,plain,
( e2 != op(op(e4,e1),e4)
| e2 = op(e3,e4) ),
inference(resolve,[$cnf( $equal(op(op(e4,e1),e4),op(e3,e4)) )],[refute_22_54,refute_22_55]) ).
cnf(refute_22_57,plain,
e2 = op(e3,e4),
inference(resolve,[$cnf( $equal(e2,op(op(e4,e1),e4)) )],[refute_22_50,refute_22_56]) ).
cnf(refute_22_58,plain,
( e2 != op(e3,e4)
| op(e3,e4) = e2 ),
inference(subst,[],[refute_22_4:[bind(X,$fot(e2)),bind(Y,$fot(op(e3,e4)))]]) ).
cnf(refute_22_59,plain,
op(e3,e4) = e2,
inference(resolve,[$cnf( $equal(e2,op(e3,e4)) )],[refute_22_57,refute_22_58]) ).
cnf(refute_22_60,plain,
( op(e3,e4) != e2
| op(e3,e4) != e3
| e2 = e3 ),
introduced(tautology,[equality,[$cnf( $equal(op(e3,e4),e3) ),[0],$fot(e2)]]) ).
cnf(refute_22_61,plain,
( op(e3,e4) != e3
| e2 = e3 ),
inference(resolve,[$cnf( $equal(op(e3,e4),e2) )],[refute_22_59,refute_22_60]) ).
cnf(refute_22_62,plain,
( e0 = e3
| e2 = e3
| op(e0,e4) = e3
| op(e2,e4) = e3 ),
inference(resolve,[$cnf( $equal(op(e3,e4),e3) )],[refute_22_42,refute_22_61]) ).
cnf(refute_22_63,plain,
e0 != e3,
inference(canonicalize,[],[normalize_22_10]) ).
cnf(refute_22_64,plain,
( e2 = e3
| op(e0,e4) = e3
| op(e2,e4) = e3 ),
inference(resolve,[$cnf( $equal(e0,e3) )],[refute_22_62,refute_22_63]) ).
cnf(refute_22_65,plain,
e2 != e3,
inference(canonicalize,[],[normalize_22_11]) ).
cnf(refute_22_66,plain,
( op(e0,e4) = e3
| op(e2,e4) = e3 ),
inference(resolve,[$cnf( $equal(e2,e3) )],[refute_22_64,refute_22_65]) ).
cnf(refute_22_67,plain,
op(unit,e4) = e4,
inference(canonicalize,[],[normalize_22_13]) ).
cnf(refute_22_68,plain,
op(e2,e4) != op(e4,e2),
inference(canonicalize,[],[normalize_22_15]) ).
cnf(refute_22_69,plain,
( unit = e0
| unit = e1
| unit = e2
| unit = e3
| unit = e4 ),
inference(canonicalize,[],[normalize_22_16]) ).
cnf(refute_22_70,plain,
( op(unit,e4) != e4
| unit != e3
| op(e3,e4) = e4 ),
introduced(tautology,[equality,[$cnf( $equal(op(unit,e4),e4) ),[0,0],$fot(e3)]]) ).
cnf(refute_22_71,plain,
( op(unit,e4) != e4
| op(e3,e4) = e4
| unit = e0
| unit = e1
| unit = e2
| unit = e4 ),
inference(resolve,[$cnf( $equal(unit,e3) )],[refute_22_69,refute_22_70]) ).
cnf(refute_22_72,plain,
( op(e3,e4) = e4
| unit = e0
| unit = e1
| unit = e2
| unit = e4 ),
inference(resolve,[$cnf( $equal(op(unit,e4),e4) )],[refute_22_67,refute_22_71]) ).
cnf(refute_22_73,plain,
( op(e3,e4) != e2
| op(e3,e4) != e4
| e2 = e4 ),
introduced(tautology,[equality,[$cnf( $equal(op(e3,e4),e4) ),[0],$fot(e2)]]) ).
cnf(refute_22_74,plain,
( op(e3,e4) != e4
| e2 = e4 ),
inference(resolve,[$cnf( $equal(op(e3,e4),e2) )],[refute_22_59,refute_22_73]) ).
cnf(refute_22_75,plain,
( e2 = e4
| unit = e0
| unit = e1
| unit = e2
| unit = e4 ),
inference(resolve,[$cnf( $equal(op(e3,e4),e4) )],[refute_22_72,refute_22_74]) ).
cnf(refute_22_76,plain,
e2 != e4,
inference(canonicalize,[],[normalize_22_17]) ).
cnf(refute_22_77,plain,
( unit = e0
| unit = e1
| unit = e2
| unit = e4 ),
inference(resolve,[$cnf( $equal(e2,e4) )],[refute_22_75,refute_22_76]) ).
cnf(refute_22_78,plain,
( op(unit,e4) != e4
| unit != e1
| op(e1,e4) = e4 ),
introduced(tautology,[equality,[$cnf( $equal(op(unit,e4),e4) ),[0,0],$fot(e1)]]) ).
cnf(refute_22_79,plain,
( op(unit,e4) != e4
| op(e1,e4) = e4
| unit = e0
| unit = e2
| unit = e4 ),
inference(resolve,[$cnf( $equal(unit,e1) )],[refute_22_77,refute_22_78]) ).
cnf(refute_22_80,plain,
( op(e1,e4) = e4
| unit = e0
| unit = e2
| unit = e4 ),
inference(resolve,[$cnf( $equal(op(unit,e4),e4) )],[refute_22_67,refute_22_79]) ).
cnf(refute_22_81,plain,
( op(e1,e4) != e0
| op(e1,e4) != e4
| e0 = e4 ),
introduced(tautology,[equality,[$cnf( $equal(op(e1,e4),e4) ),[0],$fot(e0)]]) ).
cnf(refute_22_82,plain,
( op(e1,e4) != e4
| e0 = e4 ),
inference(resolve,[$cnf( $equal(op(e1,e4),e0) )],[refute_22_39,refute_22_81]) ).
cnf(refute_22_83,plain,
( e0 = e4
| unit = e0
| unit = e2
| unit = e4 ),
inference(resolve,[$cnf( $equal(op(e1,e4),e4) )],[refute_22_80,refute_22_82]) ).
cnf(refute_22_84,plain,
e0 != e4,
inference(canonicalize,[],[normalize_22_18]) ).
cnf(refute_22_85,plain,
( unit = e0
| unit = e2
| unit = e4 ),
inference(resolve,[$cnf( $equal(e0,e4) )],[refute_22_83,refute_22_84]) ).
cnf(refute_22_86,plain,
( op(unit,e4) != e4
| unit != e4
| op(e4,e4) = e4 ),
introduced(tautology,[equality,[$cnf( $equal(op(unit,e4),e4) ),[0,0],$fot(e4)]]) ).
cnf(refute_22_87,plain,
( op(unit,e4) != e4
| op(e4,e4) = e4
| unit = e0
| unit = e2 ),
inference(resolve,[$cnf( $equal(unit,e4) )],[refute_22_85,refute_22_86]) ).
cnf(refute_22_88,plain,
( op(e4,e4) = e4
| unit = e0
| unit = e2 ),
inference(resolve,[$cnf( $equal(op(unit,e4),e4) )],[refute_22_67,refute_22_87]) ).
cnf(refute_22_89,plain,
( op(e4,e4) != e1
| op(e4,e4) != e4
| e1 = e4 ),
introduced(tautology,[equality,[$cnf( $equal(op(e4,e4),e4) ),[0],$fot(e1)]]) ).
cnf(refute_22_90,plain,
( op(e4,e4) != e4
| e1 = e4 ),
inference(resolve,[$cnf( $equal(op(e4,e4),e1) )],[refute_22_6,refute_22_89]) ).
cnf(refute_22_91,plain,
( e1 = e4
| unit = e0
| unit = e2 ),
inference(resolve,[$cnf( $equal(op(e4,e4),e4) )],[refute_22_88,refute_22_90]) ).
cnf(refute_22_92,plain,
e1 != e4,
inference(canonicalize,[],[normalize_22_19]) ).
cnf(refute_22_93,plain,
( unit = e0
| unit = e2 ),
inference(resolve,[$cnf( $equal(e1,e4) )],[refute_22_91,refute_22_92]) ).
cnf(refute_22_94,plain,
( op(unit,e4) != e4
| unit != e2
| op(e2,e4) = e4 ),
introduced(tautology,[equality,[$cnf( $equal(op(unit,e4),e4) ),[0,0],$fot(e2)]]) ).
cnf(refute_22_95,plain,
( op(unit,e4) != e4
| op(e2,e4) = e4
| unit = e0 ),
inference(resolve,[$cnf( $equal(unit,e2) )],[refute_22_93,refute_22_94]) ).
cnf(refute_22_96,plain,
( op(e2,e4) = e4
| unit = e0 ),
inference(resolve,[$cnf( $equal(op(unit,e4),e4) )],[refute_22_67,refute_22_95]) ).
cnf(refute_22_97,plain,
( e4 != op(e4,e2)
| op(e2,e4) != e4
| op(e2,e4) = op(e4,e2) ),
introduced(tautology,[equality,[$cnf( $equal(op(e2,e4),e4) ),[1],$fot(op(e4,e2))]]) ).
cnf(refute_22_98,plain,
( e4 != op(e4,e2)
| op(e2,e4) = op(e4,e2)
| unit = e0 ),
inference(resolve,[$cnf( $equal(op(e2,e4),e4) )],[refute_22_96,refute_22_97]) ).
cnf(refute_22_99,plain,
( e4 != op(e4,e2)
| unit = e0 ),
inference(resolve,[$cnf( $equal(op(e2,e4),op(e4,e2)) )],[refute_22_98,refute_22_68]) ).
cnf(refute_22_100,plain,
op(e4,unit) = e4,
inference(canonicalize,[],[normalize_22_20]) ).
cnf(refute_22_101,plain,
( op(e4,unit) != e4
| unit != e2
| op(e4,e2) = e4 ),
introduced(tautology,[equality,[$cnf( $equal(op(e4,unit),e4) ),[0,1],$fot(e2)]]) ).
cnf(refute_22_102,plain,
( op(e4,unit) != e4
| op(e4,e2) = e4
| unit = e0 ),
inference(resolve,[$cnf( $equal(unit,e2) )],[refute_22_93,refute_22_101]) ).
cnf(refute_22_103,plain,
( op(e4,e2) = e4
| unit = e0 ),
inference(resolve,[$cnf( $equal(op(e4,unit),e4) )],[refute_22_100,refute_22_102]) ).
cnf(refute_22_104,plain,
( e4 != e4
| op(e4,e2) != e4
| e4 = op(e4,e2) ),
introduced(tautology,[equality,[$cnf( ~ $equal(e4,op(e4,e2)) ),[1],$fot(e4)]]) ).
cnf(refute_22_105,plain,
( e4 != e4
| e4 = op(e4,e2)
| unit = e0 ),
inference(resolve,[$cnf( $equal(op(e4,e2),e4) )],[refute_22_103,refute_22_104]) ).
cnf(refute_22_106,plain,
( e4 != e4
| unit = e0 ),
inference(resolve,[$cnf( $equal(e4,op(e4,e2)) )],[refute_22_105,refute_22_99]) ).
cnf(refute_22_107,plain,
e4 = e4,
introduced(tautology,[refl,[$fot(e4)]]) ).
cnf(refute_22_108,plain,
unit = e0,
inference(resolve,[$cnf( $equal(e4,e4) )],[refute_22_107,refute_22_106]) ).
cnf(refute_22_109,plain,
op(unit,e4) = op(unit,e4),
introduced(tautology,[refl,[$fot(op(unit,e4))]]) ).
cnf(refute_22_110,plain,
( op(unit,e4) != op(unit,e4)
| unit != e0
| op(unit,e4) = op(e0,e4) ),
introduced(tautology,[equality,[$cnf( $equal(op(unit,e4),op(unit,e4)) ),[1,0],$fot(e0)]]) ).
cnf(refute_22_111,plain,
( unit != e0
| op(unit,e4) = op(e0,e4) ),
inference(resolve,[$cnf( $equal(op(unit,e4),op(unit,e4)) )],[refute_22_109,refute_22_110]) ).
cnf(refute_22_112,plain,
op(unit,e4) = op(e0,e4),
inference(resolve,[$cnf( $equal(unit,e0) )],[refute_22_108,refute_22_111]) ).
cnf(refute_22_113,plain,
( op(unit,e4) != e4
| op(unit,e4) != op(e0,e4)
| op(e0,e4) = e4 ),
introduced(tautology,[equality,[$cnf( $equal(op(unit,e4),e4) ),[0],$fot(op(e0,e4))]]) ).
cnf(refute_22_114,plain,
( op(unit,e4) != e4
| op(e0,e4) = e4 ),
inference(resolve,[$cnf( $equal(op(unit,e4),op(e0,e4)) )],[refute_22_112,refute_22_113]) ).
cnf(refute_22_115,plain,
op(e0,e4) = e4,
inference(resolve,[$cnf( $equal(op(unit,e4),e4) )],[refute_22_67,refute_22_114]) ).
cnf(refute_22_116,plain,
( op(e0,e4) != e3
| op(e0,e4) != e4
| e4 = e3 ),
introduced(tautology,[equality,[$cnf( $equal(op(e0,e4),e3) ),[0],$fot(e4)]]) ).
cnf(refute_22_117,plain,
( op(e0,e4) != e3
| e4 = e3 ),
inference(resolve,[$cnf( $equal(op(e0,e4),e4) )],[refute_22_115,refute_22_116]) ).
cnf(refute_22_118,plain,
( e4 = e3
| op(e2,e4) = e3 ),
inference(resolve,[$cnf( $equal(op(e0,e4),e3) )],[refute_22_66,refute_22_117]) ).
cnf(refute_22_119,plain,
e3 != e4,
inference(canonicalize,[],[normalize_22_21]) ).
cnf(refute_22_120,plain,
( e4 != e3
| e3 = e4 ),
inference(subst,[],[refute_22_4:[bind(X,$fot(e4)),bind(Y,$fot(e3))]]) ).
cnf(refute_22_121,plain,
e4 != e3,
inference(resolve,[$cnf( $equal(e3,e4) )],[refute_22_120,refute_22_119]) ).
cnf(refute_22_122,plain,
op(e2,e4) = e3,
inference(resolve,[$cnf( $equal(e4,e3) )],[refute_22_118,refute_22_121]) ).
cnf(refute_22_123,plain,
op(op(e4,e2),e2) = e4,
inference(canonicalize,[],[normalize_22_22]) ).
cnf(refute_22_124,plain,
op(unit,e2) = e2,
inference(canonicalize,[],[normalize_22_23]) ).
cnf(refute_22_125,plain,
op(unit,e2) = op(unit,e2),
introduced(tautology,[refl,[$fot(op(unit,e2))]]) ).
cnf(refute_22_126,plain,
( op(unit,e2) != op(unit,e2)
| unit != e0
| op(unit,e2) = op(e0,e2) ),
introduced(tautology,[equality,[$cnf( $equal(op(unit,e2),op(unit,e2)) ),[1,0],$fot(e0)]]) ).
cnf(refute_22_127,plain,
( unit != e0
| op(unit,e2) = op(e0,e2) ),
inference(resolve,[$cnf( $equal(op(unit,e2),op(unit,e2)) )],[refute_22_125,refute_22_126]) ).
cnf(refute_22_128,plain,
op(unit,e2) = op(e0,e2),
inference(resolve,[$cnf( $equal(unit,e0) )],[refute_22_108,refute_22_127]) ).
cnf(refute_22_129,plain,
( op(unit,e2) != e2
| op(unit,e2) != op(e0,e2)
| op(e0,e2) = e2 ),
introduced(tautology,[equality,[$cnf( $equal(op(unit,e2),e2) ),[0],$fot(op(e0,e2))]]) ).
cnf(refute_22_130,plain,
( op(unit,e2) != e2
| op(e0,e2) = e2 ),
inference(resolve,[$cnf( $equal(op(unit,e2),op(e0,e2)) )],[refute_22_128,refute_22_129]) ).
cnf(refute_22_131,plain,
op(e0,e2) = e2,
inference(resolve,[$cnf( $equal(op(unit,e2),e2) )],[refute_22_124,refute_22_130]) ).
cnf(refute_22_132,plain,
op(e3,e2) != op(e4,e2),
inference(canonicalize,[],[normalize_22_24]) ).
cnf(refute_22_133,plain,
( op(e4,e2) = e0
| op(e4,e2) = e1
| op(e4,e2) = e2
| op(e4,e2) = e3
| op(e4,e2) = e4 ),
inference(canonicalize,[],[normalize_22_26]) ).
cnf(refute_22_134,plain,
op(e4,e2) != op(e4,e4),
inference(canonicalize,[],[normalize_22_27]) ).
cnf(refute_22_135,plain,
( op(e4,e2) != e1
| op(e4,e4) != e1
| op(e4,e2) = op(e4,e4) ),
introduced(tautology,[equality,[$cnf( ~ $equal(op(e4,e2),op(e4,e4)) ),[1],$fot(e1)]]) ).
cnf(refute_22_136,plain,
( op(e4,e2) != e1
| op(e4,e2) = op(e4,e4) ),
inference(resolve,[$cnf( $equal(op(e4,e4),e1) )],[refute_22_6,refute_22_135]) ).
cnf(refute_22_137,plain,
op(e4,e2) != e1,
inference(resolve,[$cnf( $equal(op(e4,e2),op(e4,e4)) )],[refute_22_136,refute_22_134]) ).
cnf(refute_22_138,plain,
( op(e4,e2) = e0
| op(e4,e2) = e2
| op(e4,e2) = e3
| op(e4,e2) = e4 ),
inference(resolve,[$cnf( $equal(op(e4,e2),e1) )],[refute_22_133,refute_22_137]) ).
cnf(refute_22_139,plain,
op(e4,e1) != op(e4,e2),
inference(canonicalize,[],[normalize_22_28]) ).
cnf(refute_22_140,plain,
( e3 != op(e4,e2)
| op(e4,e1) != e3
| op(e4,e1) = op(e4,e2) ),
introduced(tautology,[equality,[$cnf( $equal(op(e4,e1),e3) ),[1],$fot(op(e4,e2))]]) ).
cnf(refute_22_141,plain,
( e3 != op(e4,e2)
| op(e4,e1) = op(e4,e2) ),
inference(resolve,[$cnf( $equal(op(e4,e1),e3) )],[refute_22_20,refute_22_140]) ).
cnf(refute_22_142,plain,
e3 != op(e4,e2),
inference(resolve,[$cnf( $equal(op(e4,e1),op(e4,e2)) )],[refute_22_141,refute_22_139]) ).
cnf(refute_22_143,plain,
( op(e4,e2) != e3
| e3 = op(e4,e2) ),
inference(subst,[],[refute_22_4:[bind(X,$fot(op(e4,e2))),bind(Y,$fot(e3))]]) ).
cnf(refute_22_144,plain,
op(e4,e2) != e3,
inference(resolve,[$cnf( $equal(e3,op(e4,e2)) )],[refute_22_143,refute_22_142]) ).
cnf(refute_22_145,plain,
( op(e4,e2) = e0
| op(e4,e2) = e2
| op(e4,e2) = e4 ),
inference(resolve,[$cnf( $equal(op(e4,e2),e3) )],[refute_22_138,refute_22_144]) ).
cnf(refute_22_146,plain,
( op(e3,e2) != e4
| op(e4,e2) != e4
| op(e3,e2) = op(e4,e2) ),
introduced(tautology,[equality,[$cnf( ~ $equal(op(e3,e2),op(e4,e2)) ),[1],$fot(e4)]]) ).
cnf(refute_22_147,plain,
( op(e3,e2) != e4
| op(e3,e2) = op(e4,e2)
| op(e4,e2) = e0
| op(e4,e2) = e2 ),
inference(resolve,[$cnf( $equal(op(e4,e2),e4) )],[refute_22_145,refute_22_146]) ).
cnf(refute_22_148,plain,
( op(e3,e2) != e4
| op(e4,e2) = e0
| op(e4,e2) = e2 ),
inference(resolve,[$cnf( $equal(op(e3,e2),op(e4,e2)) )],[refute_22_147,refute_22_132]) ).
cnf(refute_22_149,plain,
( op(op(e2,e4),e4) != e2
| op(e4,e2) = op(e2,e4)
| op(op(e2,e4),e2) = e4 ),
inference(canonicalize,[],[normalize_22_29]) ).
cnf(refute_22_150,plain,
( op(e4,e2) != op(e2,e4)
| op(e2,e4) = op(e4,e2) ),
inference(subst,[],[refute_22_4:[bind(X,$fot(op(e4,e2))),bind(Y,$fot(op(e2,e4)))]]) ).
cnf(refute_22_151,plain,
op(e4,e2) != op(e2,e4),
inference(resolve,[$cnf( $equal(op(e2,e4),op(e4,e2)) )],[refute_22_150,refute_22_68]) ).
cnf(refute_22_152,plain,
( op(op(e2,e4),e4) != e2
| op(op(e2,e4),e2) = e4 ),
inference(resolve,[$cnf( $equal(op(e4,e2),op(e2,e4)) )],[refute_22_149,refute_22_151]) ).
cnf(refute_22_153,plain,
( op(e2,e4) != e3
| op(e3,e4) != e2
| op(op(e2,e4),e4) = e2 ),
introduced(tautology,[equality,[$cnf( ~ $equal(op(op(e2,e4),e4),e2) ),[0,0],$fot(e3)]]) ).
cnf(refute_22_154,plain,
( op(e3,e4) != e2
| op(e0,e4) = e3
| op(op(e2,e4),e4) = e2 ),
inference(resolve,[$cnf( $equal(op(e2,e4),e3) )],[refute_22_66,refute_22_153]) ).
cnf(refute_22_155,plain,
( op(e3,e4) != e2
| op(e0,e4) = e3
| op(op(e2,e4),e2) = e4 ),
inference(resolve,[$cnf( $equal(op(op(e2,e4),e4),e2) )],[refute_22_154,refute_22_152]) ).
cnf(refute_22_156,plain,
( e2 != e2
| op(e3,e4) != e2
| op(e3,e4) = e2 ),
introduced(tautology,[equality,[$cnf( $equal(op(e3,e4),e2) ),[1],$fot(e2)]]) ).
cnf(refute_22_157,plain,
( e2 != e2
| op(e3,e4) = e2 ),
inference(resolve,[$cnf( $equal(op(e3,e4),e2) )],[refute_22_59,refute_22_156]) ).
cnf(refute_22_158,plain,
( e2 != e2
| op(e0,e4) = e3
| op(op(e2,e4),e2) = e4 ),
inference(resolve,[$cnf( $equal(op(e3,e4),e2) )],[refute_22_157,refute_22_155]) ).
cnf(refute_22_159,plain,
e2 = e2,
introduced(tautology,[refl,[$fot(e2)]]) ).
cnf(refute_22_160,plain,
( op(e0,e4) = e3
| op(op(e2,e4),e2) = e4 ),
inference(resolve,[$cnf( $equal(e2,e2) )],[refute_22_159,refute_22_158]) ).
cnf(refute_22_161,plain,
( e4 = e3
| op(op(e2,e4),e2) = e4 ),
inference(resolve,[$cnf( $equal(op(e0,e4),e3) )],[refute_22_160,refute_22_117]) ).
cnf(refute_22_162,plain,
op(op(e2,e4),e2) = op(op(e2,e4),e2),
introduced(tautology,[refl,[$fot(op(op(e2,e4),e2))]]) ).
cnf(refute_22_163,plain,
( op(e2,e4) != e3
| op(op(e2,e4),e2) != op(op(e2,e4),e2)
| op(op(e2,e4),e2) = op(e3,e2) ),
introduced(tautology,[equality,[$cnf( $equal(op(op(e2,e4),e2),op(op(e2,e4),e2)) ),[1,0],$fot(e3)]]) ).
cnf(refute_22_164,plain,
( op(e2,e4) != e3
| op(op(e2,e4),e2) = op(e3,e2) ),
inference(resolve,[$cnf( $equal(op(op(e2,e4),e2),op(op(e2,e4),e2)) )],[refute_22_162,refute_22_163]) ).
cnf(refute_22_165,plain,
op(op(e2,e4),e2) = op(e3,e2),
inference(resolve,[$cnf( $equal(op(e2,e4),e3) )],[refute_22_122,refute_22_164]) ).
cnf(refute_22_166,plain,
( op(op(e2,e4),e2) != e4
| op(op(e2,e4),e2) != op(e3,e2)
| op(e3,e2) = e4 ),
introduced(tautology,[equality,[$cnf( $equal(op(op(e2,e4),e2),e4) ),[0],$fot(op(e3,e2))]]) ).
cnf(refute_22_167,plain,
( op(op(e2,e4),e2) != e4
| op(e3,e2) = e4 ),
inference(resolve,[$cnf( $equal(op(op(e2,e4),e2),op(e3,e2)) )],[refute_22_165,refute_22_166]) ).
cnf(refute_22_168,plain,
( e4 = e3
| op(e3,e2) = e4 ),
inference(resolve,[$cnf( $equal(op(op(e2,e4),e2),e4) )],[refute_22_161,refute_22_167]) ).
cnf(refute_22_169,plain,
op(e3,e2) = e4,
inference(resolve,[$cnf( $equal(e4,e3) )],[refute_22_168,refute_22_121]) ).
cnf(refute_22_170,plain,
( e4 != e4
| op(e3,e2) != e4
| op(e3,e2) = e4 ),
introduced(tautology,[equality,[$cnf( $equal(op(e3,e2),e4) ),[1],$fot(e4)]]) ).
cnf(refute_22_171,plain,
( e4 != e4
| op(e3,e2) = e4 ),
inference(resolve,[$cnf( $equal(op(e3,e2),e4) )],[refute_22_169,refute_22_170]) ).
cnf(refute_22_172,plain,
( e4 != e4
| op(e4,e2) = e0
| op(e4,e2) = e2 ),
inference(resolve,[$cnf( $equal(op(e3,e2),e4) )],[refute_22_171,refute_22_148]) ).
cnf(refute_22_173,plain,
( op(e4,e2) = e0
| op(e4,e2) = e2 ),
inference(resolve,[$cnf( $equal(e4,e4) )],[refute_22_107,refute_22_172]) ).
cnf(refute_22_174,plain,
op(e0,e2) != op(e4,e2),
inference(canonicalize,[],[normalize_22_30]) ).
cnf(refute_22_175,plain,
( e2 != op(e4,e2)
| op(e0,e2) != e2
| op(e0,e2) = op(e4,e2) ),
introduced(tautology,[equality,[$cnf( $equal(op(e0,e2),e2) ),[1],$fot(op(e4,e2))]]) ).
cnf(refute_22_176,plain,
( e2 != op(e4,e2)
| op(e0,e2) = op(e4,e2) ),
inference(resolve,[$cnf( $equal(op(e0,e2),e2) )],[refute_22_131,refute_22_175]) ).
cnf(refute_22_177,plain,
e2 != op(e4,e2),
inference(resolve,[$cnf( $equal(op(e0,e2),op(e4,e2)) )],[refute_22_176,refute_22_174]) ).
cnf(refute_22_178,plain,
( op(e4,e2) != e2
| e2 = op(e4,e2) ),
inference(subst,[],[refute_22_4:[bind(X,$fot(op(e4,e2))),bind(Y,$fot(e2))]]) ).
cnf(refute_22_179,plain,
op(e4,e2) != e2,
inference(resolve,[$cnf( $equal(e2,op(e4,e2)) )],[refute_22_178,refute_22_177]) ).
cnf(refute_22_180,plain,
op(e4,e2) = e0,
inference(resolve,[$cnf( $equal(op(e4,e2),e2) )],[refute_22_173,refute_22_179]) ).
cnf(refute_22_181,plain,
op(op(e4,e2),e2) = op(op(e4,e2),e2),
introduced(tautology,[refl,[$fot(op(op(e4,e2),e2))]]) ).
cnf(refute_22_182,plain,
( op(e4,e2) != e0
| op(op(e4,e2),e2) != op(op(e4,e2),e2)
| op(op(e4,e2),e2) = op(e0,e2) ),
introduced(tautology,[equality,[$cnf( $equal(op(op(e4,e2),e2),op(op(e4,e2),e2)) ),[1,0],$fot(e0)]]) ).
cnf(refute_22_183,plain,
( op(e4,e2) != e0
| op(op(e4,e2),e2) = op(e0,e2) ),
inference(resolve,[$cnf( $equal(op(op(e4,e2),e2),op(op(e4,e2),e2)) )],[refute_22_181,refute_22_182]) ).
cnf(refute_22_184,plain,
op(op(e4,e2),e2) = op(e0,e2),
inference(resolve,[$cnf( $equal(op(e4,e2),e0) )],[refute_22_180,refute_22_183]) ).
cnf(refute_22_185,plain,
( Y != X
| Y != Z
| X = Z ),
introduced(tautology,[equality,[$cnf( $equal(Y,Z) ),[0],$fot(X)]]) ).
cnf(refute_22_186,plain,
( X != Y
| Y != Z
| X = Z ),
inference(resolve,[$cnf( $equal(Y,X) )],[refute_22_4,refute_22_185]) ).
cnf(refute_22_187,plain,
( op(e0,e2) != e2
| op(op(e4,e2),e2) != op(e0,e2)
| op(op(e4,e2),e2) = e2 ),
inference(subst,[],[refute_22_186:[bind(X,$fot(op(op(e4,e2),e2))),bind(Y,$fot(op(e0,e2))),bind(Z,$fot(e2))]]) ).
cnf(refute_22_188,plain,
( op(e0,e2) != e2
| op(op(e4,e2),e2) = e2 ),
inference(resolve,[$cnf( $equal(op(op(e4,e2),e2),op(e0,e2)) )],[refute_22_184,refute_22_187]) ).
cnf(refute_22_189,plain,
op(op(e4,e2),e2) = e2,
inference(resolve,[$cnf( $equal(op(e0,e2),e2) )],[refute_22_131,refute_22_188]) ).
cnf(refute_22_190,plain,
( op(op(e4,e2),e2) != e2
| op(op(e4,e2),e2) != e4
| e2 = e4 ),
introduced(tautology,[equality,[$cnf( $equal(op(op(e4,e2),e2),e4) ),[0],$fot(e2)]]) ).
cnf(refute_22_191,plain,
( op(op(e4,e2),e2) != e4
| e2 = e4 ),
inference(resolve,[$cnf( $equal(op(op(e4,e2),e2),e2) )],[refute_22_189,refute_22_190]) ).
cnf(refute_22_192,plain,
e2 = e4,
inference(resolve,[$cnf( $equal(op(op(e4,e2),e2),e4) )],[refute_22_123,refute_22_191]) ).
cnf(refute_22_193,plain,
( e2 != e4
| e4 = e2 ),
inference(subst,[],[refute_22_4:[bind(X,$fot(e2)),bind(Y,$fot(e4))]]) ).
cnf(refute_22_194,plain,
e4 = e2,
inference(resolve,[$cnf( $equal(e2,e4) )],[refute_22_192,refute_22_193]) ).
cnf(refute_22_195,plain,
op(e2,e4) = op(e2,e4),
introduced(tautology,[refl,[$fot(op(e2,e4))]]) ).
cnf(refute_22_196,plain,
( e4 != e2
| op(e2,e4) != op(e2,e4)
| op(e2,e4) = op(e2,e2) ),
introduced(tautology,[equality,[$cnf( $equal(op(e2,e4),op(e2,e4)) ),[1,1],$fot(e2)]]) ).
cnf(refute_22_197,plain,
( e4 != e2
| op(e2,e4) = op(e2,e2) ),
inference(resolve,[$cnf( $equal(op(e2,e4),op(e2,e4)) )],[refute_22_195,refute_22_196]) ).
cnf(refute_22_198,plain,
op(e2,e4) = op(e2,e2),
inference(resolve,[$cnf( $equal(e4,e2) )],[refute_22_194,refute_22_197]) ).
cnf(refute_22_199,plain,
( op(e2,e4) != e3
| op(e2,e4) != op(e2,e2)
| op(e2,e2) = e3 ),
introduced(tautology,[equality,[$cnf( $equal(op(e2,e4),e3) ),[0],$fot(op(e2,e2))]]) ).
cnf(refute_22_200,plain,
( op(e2,e4) != e3
| op(e2,e2) = e3 ),
inference(resolve,[$cnf( $equal(op(e2,e4),op(e2,e2)) )],[refute_22_198,refute_22_199]) ).
cnf(refute_22_201,plain,
op(e2,e2) = e3,
inference(resolve,[$cnf( $equal(op(e2,e4),e3) )],[refute_22_122,refute_22_200]) ).
cnf(refute_22_202,plain,
op(e4,e4) = op(e4,e4),
introduced(tautology,[refl,[$fot(op(e4,e4))]]) ).
cnf(refute_22_203,plain,
( e4 != e2
| op(e4,e4) != op(e4,e4)
| op(e4,e4) = op(e2,e4) ),
introduced(tautology,[equality,[$cnf( $equal(op(e4,e4),op(e4,e4)) ),[1,0],$fot(e2)]]) ).
cnf(refute_22_204,plain,
( e4 != e2
| op(e4,e4) = op(e2,e4) ),
inference(resolve,[$cnf( $equal(op(e4,e4),op(e4,e4)) )],[refute_22_202,refute_22_203]) ).
cnf(refute_22_205,plain,
op(e4,e4) = op(e2,e4),
inference(resolve,[$cnf( $equal(e4,e2) )],[refute_22_194,refute_22_204]) ).
cnf(refute_22_206,plain,
( op(e2,e4) != op(e2,e2)
| op(e4,e4) != op(e2,e4)
| op(e4,e4) = op(e2,e2) ),
inference(subst,[],[refute_22_186:[bind(X,$fot(op(e4,e4))),bind(Y,$fot(op(e2,e4))),bind(Z,$fot(op(e2,e2)))]]) ).
cnf(refute_22_207,plain,
( op(e2,e4) != op(e2,e2)
| op(e4,e4) = op(e2,e2) ),
inference(resolve,[$cnf( $equal(op(e4,e4),op(e2,e4)) )],[refute_22_205,refute_22_206]) ).
cnf(refute_22_208,plain,
op(e4,e4) = op(e2,e2),
inference(resolve,[$cnf( $equal(op(e2,e4),op(e2,e2)) )],[refute_22_198,refute_22_207]) ).
cnf(refute_22_209,plain,
( op(e2,e2) != e3
| op(e4,e4) != op(e2,e2)
| op(e4,e4) = e3 ),
inference(subst,[],[refute_22_186:[bind(X,$fot(op(e4,e4))),bind(Y,$fot(op(e2,e2))),bind(Z,$fot(e3))]]) ).
cnf(refute_22_210,plain,
( op(e2,e2) != e3
| op(e4,e4) = e3 ),
inference(resolve,[$cnf( $equal(op(e4,e4),op(e2,e2)) )],[refute_22_208,refute_22_209]) ).
cnf(refute_22_211,plain,
op(e4,e4) = e3,
inference(resolve,[$cnf( $equal(op(e2,e2),e3) )],[refute_22_201,refute_22_210]) ).
cnf(refute_22_212,plain,
( e1 != op(e4,e4)
| op(e4,e4) != e3
| e1 = e3 ),
introduced(tautology,[equality,[$cnf( ~ $equal(e1,e3) ),[0],$fot(op(e4,e4))]]) ).
cnf(refute_22_213,plain,
( e1 != op(e4,e4)
| e1 = e3 ),
inference(resolve,[$cnf( $equal(op(e4,e4),e3) )],[refute_22_211,refute_22_212]) ).
cnf(refute_22_214,plain,
e1 = e3,
inference(resolve,[$cnf( $equal(e1,op(e4,e4)) )],[refute_22_0,refute_22_213]) ).
cnf(refute_22_215,plain,
e3 = e1,
inference(resolve,[$cnf( $equal(e1,e3) )],[refute_22_214,refute_22_27]) ).
cnf(refute_22_216,plain,
( e3 != e1
| op(e2,e2) != e3
| op(e2,e2) = e1 ),
introduced(tautology,[equality,[$cnf( $equal(op(e2,e2),e3) ),[1],$fot(e1)]]) ).
cnf(refute_22_217,plain,
( op(e2,e2) != e3
| op(e2,e2) = e1 ),
inference(resolve,[$cnf( $equal(e3,e1) )],[refute_22_215,refute_22_216]) ).
cnf(refute_22_218,plain,
op(e2,e2) = e1,
inference(resolve,[$cnf( $equal(op(e2,e2),e3) )],[refute_22_201,refute_22_217]) ).
cnf(refute_22_219,plain,
op(e0,unit) = e0,
inference(canonicalize,[],[normalize_22_31]) ).
cnf(refute_22_220,plain,
op(e0,unit) = op(e0,unit),
introduced(tautology,[refl,[$fot(op(e0,unit))]]) ).
cnf(refute_22_221,plain,
( op(e0,unit) != op(e0,unit)
| unit != e0
| op(e0,unit) = op(e0,e0) ),
introduced(tautology,[equality,[$cnf( $equal(op(e0,unit),op(e0,unit)) ),[1,1],$fot(e0)]]) ).
cnf(refute_22_222,plain,
( unit != e0
| op(e0,unit) = op(e0,e0) ),
inference(resolve,[$cnf( $equal(op(e0,unit),op(e0,unit)) )],[refute_22_220,refute_22_221]) ).
cnf(refute_22_223,plain,
op(e0,unit) = op(e0,e0),
inference(resolve,[$cnf( $equal(unit,e0) )],[refute_22_108,refute_22_222]) ).
cnf(refute_22_224,plain,
( op(e0,unit) != e0
| op(e0,unit) != op(e0,e0)
| op(e0,e0) = e0 ),
introduced(tautology,[equality,[$cnf( $equal(op(e0,unit),e0) ),[0],$fot(op(e0,e0))]]) ).
cnf(refute_22_225,plain,
( op(e0,unit) != e0
| op(e0,e0) = e0 ),
inference(resolve,[$cnf( $equal(op(e0,unit),op(e0,e0)) )],[refute_22_223,refute_22_224]) ).
cnf(refute_22_226,plain,
op(e0,e0) = e0,
inference(resolve,[$cnf( $equal(op(e0,unit),e0) )],[refute_22_219,refute_22_225]) ).
cnf(refute_22_227,plain,
op(e1,e4) = op(e1,e4),
introduced(tautology,[refl,[$fot(op(e1,e4))]]) ).
cnf(refute_22_228,plain,
( e4 != e2
| op(e1,e4) != op(e1,e4)
| op(e1,e4) = op(e1,e2) ),
introduced(tautology,[equality,[$cnf( $equal(op(e1,e4),op(e1,e4)) ),[1,1],$fot(e2)]]) ).
cnf(refute_22_229,plain,
( e4 != e2
| op(e1,e4) = op(e1,e2) ),
inference(resolve,[$cnf( $equal(op(e1,e4),op(e1,e4)) )],[refute_22_227,refute_22_228]) ).
cnf(refute_22_230,plain,
op(e1,e4) = op(e1,e2),
inference(resolve,[$cnf( $equal(e4,e2) )],[refute_22_194,refute_22_229]) ).
cnf(refute_22_231,plain,
( e0 != op(e1,e4)
| op(e1,e4) != op(e1,e2)
| e0 = op(e1,e2) ),
introduced(tautology,[equality,[$cnf( ~ $equal(e0,op(e1,e2)) ),[0],$fot(op(e1,e4))]]) ).
cnf(refute_22_232,plain,
( e0 != op(e1,e4)
| e0 = op(e1,e2) ),
inference(resolve,[$cnf( $equal(op(e1,e4),op(e1,e2)) )],[refute_22_230,refute_22_231]) ).
cnf(refute_22_233,plain,
e0 = op(e1,e2),
inference(resolve,[$cnf( $equal(e0,op(e1,e4)) )],[refute_22_37,refute_22_232]) ).
cnf(refute_22_234,plain,
( e0 != op(e1,e2)
| op(e1,e2) = e0 ),
inference(subst,[],[refute_22_4:[bind(X,$fot(e0)),bind(Y,$fot(op(e1,e2)))]]) ).
cnf(refute_22_235,plain,
op(e1,e2) = e0,
inference(resolve,[$cnf( $equal(e0,op(e1,e2)) )],[refute_22_233,refute_22_234]) ).
cnf(refute_22_236,plain,
op(e3,e4) = op(e3,e4),
introduced(tautology,[refl,[$fot(op(e3,e4))]]) ).
cnf(refute_22_237,plain,
( e3 != e1
| op(e3,e4) != op(e3,e4)
| op(e3,e4) = op(e1,e4) ),
introduced(tautology,[equality,[$cnf( $equal(op(e3,e4),op(e3,e4)) ),[1,0],$fot(e1)]]) ).
cnf(refute_22_238,plain,
( e3 != e1
| op(e3,e4) = op(e1,e4) ),
inference(resolve,[$cnf( $equal(op(e3,e4),op(e3,e4)) )],[refute_22_236,refute_22_237]) ).
cnf(refute_22_239,plain,
op(e3,e4) = op(e1,e4),
inference(resolve,[$cnf( $equal(e3,e1) )],[refute_22_215,refute_22_238]) ).
cnf(refute_22_240,plain,
( op(e1,e4) != op(e1,e2)
| op(e3,e4) != op(e1,e4)
| op(e3,e4) = op(e1,e2) ),
inference(subst,[],[refute_22_186:[bind(X,$fot(op(e3,e4))),bind(Y,$fot(op(e1,e4))),bind(Z,$fot(op(e1,e2)))]]) ).
cnf(refute_22_241,plain,
( op(e1,e4) != op(e1,e2)
| op(e3,e4) = op(e1,e2) ),
inference(resolve,[$cnf( $equal(op(e3,e4),op(e1,e4)) )],[refute_22_239,refute_22_240]) ).
cnf(refute_22_242,plain,
op(e3,e4) = op(e1,e2),
inference(resolve,[$cnf( $equal(op(e1,e4),op(e1,e2)) )],[refute_22_230,refute_22_241]) ).
cnf(refute_22_243,plain,
( op(e1,e2) != e0
| op(e3,e4) != op(e1,e2)
| op(e3,e4) = e0 ),
inference(subst,[],[refute_22_186:[bind(X,$fot(op(e3,e4))),bind(Y,$fot(op(e1,e2))),bind(Z,$fot(e0))]]) ).
cnf(refute_22_244,plain,
( op(e1,e2) != e0
| op(e3,e4) = e0 ),
inference(resolve,[$cnf( $equal(op(e3,e4),op(e1,e2)) )],[refute_22_242,refute_22_243]) ).
cnf(refute_22_245,plain,
op(e3,e4) = e0,
inference(resolve,[$cnf( $equal(op(e1,e2),e0) )],[refute_22_235,refute_22_244]) ).
cnf(refute_22_246,plain,
( e2 != op(e3,e4)
| op(e3,e4) != e0
| e2 = e0 ),
introduced(tautology,[equality,[$cnf( ~ $equal(e2,e0) ),[0],$fot(op(e3,e4))]]) ).
cnf(refute_22_247,plain,
( e2 != op(e3,e4)
| e2 = e0 ),
inference(resolve,[$cnf( $equal(op(e3,e4),e0) )],[refute_22_245,refute_22_246]) ).
cnf(refute_22_248,plain,
e2 = e0,
inference(resolve,[$cnf( $equal(e2,op(e3,e4)) )],[refute_22_57,refute_22_247]) ).
cnf(refute_22_249,plain,
op(e0,e2) = op(e0,e2),
introduced(tautology,[refl,[$fot(op(e0,e2))]]) ).
cnf(refute_22_250,plain,
( e2 != e0
| op(e0,e2) != op(e0,e2)
| op(e0,e2) = op(e0,e0) ),
introduced(tautology,[equality,[$cnf( $equal(op(e0,e2),op(e0,e2)) ),[1,1],$fot(e0)]]) ).
cnf(refute_22_251,plain,
( e2 != e0
| op(e0,e2) = op(e0,e0) ),
inference(resolve,[$cnf( $equal(op(e0,e2),op(e0,e2)) )],[refute_22_249,refute_22_250]) ).
cnf(refute_22_252,plain,
op(e0,e2) = op(e0,e0),
inference(resolve,[$cnf( $equal(e2,e0) )],[refute_22_248,refute_22_251]) ).
cnf(refute_22_253,plain,
op(e2,e2) = op(e2,e2),
introduced(tautology,[refl,[$fot(op(e2,e2))]]) ).
cnf(refute_22_254,plain,
( e2 != e0
| op(e2,e2) != op(e2,e2)
| op(e2,e2) = op(e0,e2) ),
introduced(tautology,[equality,[$cnf( $equal(op(e2,e2),op(e2,e2)) ),[1,0],$fot(e0)]]) ).
cnf(refute_22_255,plain,
( e2 != e0
| op(e2,e2) = op(e0,e2) ),
inference(resolve,[$cnf( $equal(op(e2,e2),op(e2,e2)) )],[refute_22_253,refute_22_254]) ).
cnf(refute_22_256,plain,
op(e2,e2) = op(e0,e2),
inference(resolve,[$cnf( $equal(e2,e0) )],[refute_22_248,refute_22_255]) ).
cnf(refute_22_257,plain,
( op(e0,e2) != op(e0,e0)
| op(e2,e2) != op(e0,e2)
| op(e2,e2) = op(e0,e0) ),
inference(subst,[],[refute_22_186:[bind(X,$fot(op(e2,e2))),bind(Y,$fot(op(e0,e2))),bind(Z,$fot(op(e0,e0)))]]) ).
cnf(refute_22_258,plain,
( op(e0,e2) != op(e0,e0)
| op(e2,e2) = op(e0,e0) ),
inference(resolve,[$cnf( $equal(op(e2,e2),op(e0,e2)) )],[refute_22_256,refute_22_257]) ).
cnf(refute_22_259,plain,
op(e2,e2) = op(e0,e0),
inference(resolve,[$cnf( $equal(op(e0,e2),op(e0,e0)) )],[refute_22_252,refute_22_258]) ).
cnf(refute_22_260,plain,
( op(e0,e0) != e0
| op(e2,e2) != op(e0,e0)
| op(e2,e2) = e0 ),
inference(subst,[],[refute_22_186:[bind(X,$fot(op(e2,e2))),bind(Y,$fot(op(e0,e0))),bind(Z,$fot(e0))]]) ).
cnf(refute_22_261,plain,
( op(e0,e0) != e0
| op(e2,e2) = e0 ),
inference(resolve,[$cnf( $equal(op(e2,e2),op(e0,e0)) )],[refute_22_259,refute_22_260]) ).
cnf(refute_22_262,plain,
op(e2,e2) = e0,
inference(resolve,[$cnf( $equal(op(e0,e0),e0) )],[refute_22_226,refute_22_261]) ).
cnf(refute_22_263,plain,
( op(e2,e2) != e0
| op(e2,e2) != e1
| e0 = e1 ),
introduced(tautology,[equality,[$cnf( $equal(op(e2,e2),e1) ),[0],$fot(e0)]]) ).
cnf(refute_22_264,plain,
( op(e2,e2) != e1
| e0 = e1 ),
inference(resolve,[$cnf( $equal(op(e2,e2),e0) )],[refute_22_262,refute_22_263]) ).
cnf(refute_22_265,plain,
e0 = e1,
inference(resolve,[$cnf( $equal(op(e2,e2),e1) )],[refute_22_218,refute_22_264]) ).
cnf(refute_22_266,plain,
( e0 != e1
| e1 = e0 ),
inference(subst,[],[refute_22_4:[bind(X,$fot(e0)),bind(Y,$fot(e1))]]) ).
cnf(refute_22_267,plain,
e1 = e0,
inference(resolve,[$cnf( $equal(e0,e1) )],[refute_22_265,refute_22_266]) ).
cnf(refute_22_268,plain,
( e1 != e0
| e1 != e3
| e0 = e3 ),
introduced(tautology,[equality,[$cnf( $equal(e1,e3) ),[0],$fot(e0)]]) ).
cnf(refute_22_269,plain,
( e1 != e3
| e0 = e3 ),
inference(resolve,[$cnf( $equal(e1,e0) )],[refute_22_267,refute_22_268]) ).
cnf(refute_22_270,plain,
e0 = e3,
inference(resolve,[$cnf( $equal(e1,e3) )],[refute_22_214,refute_22_269]) ).
cnf(refute_22_271,plain,
$false,
inference(resolve,[$cnf( $equal(e0,e3) )],[refute_22_270,refute_22_63]) ).
fof(negate_23_0,plain,
~ ( ( ( ( op(e0,e0) = e0
& op(e0,e0) = e0
& op(e0,e0) != e0 )
| ( op(e0,e0) = e1
& op(e1,e1) = e0
& op(e0,e1) != e0 )
| ( op(e0,e0) = e2
& op(e2,e2) = e0
& op(e0,e2) != e0 )
| ( op(e0,e0) = e3
& op(e3,e3) = e0
& op(e0,e3) != e0 )
| ( op(e0,e0) = e4
& op(e4,e4) = e0
& op(e0,e4) != e0 )
| ( op(e1,e1) = e0
& op(e0,e0) = e1
& op(e1,e0) != e1 )
| ( op(e1,e1) = e1
& op(e1,e1) = e1
& op(e1,e1) != e1 )
| ( op(e1,e1) = e2
& op(e2,e2) = e1
& op(e1,e2) != e1 )
| ( op(e1,e1) = e3
& op(e3,e3) = e1
& op(e1,e3) != e1 )
| ( op(e1,e1) = e4
& op(e4,e4) = e1
& op(e1,e4) != e1 )
| ( op(e2,e2) = e0
& op(e0,e0) = e2
& op(e2,e0) != e2 )
| ( op(e2,e2) = e1
& op(e1,e1) = e2
& op(e2,e1) != e2 )
| ( op(e2,e2) = e2
& op(e2,e2) = e2
& op(e2,e2) != e2 )
| ( op(e2,e2) = e3
& op(e3,e3) = e2
& op(e2,e3) != e2 )
| ( op(e2,e2) = e4
& op(e4,e4) = e2
& op(e2,e4) != e2 )
| ( op(e3,e3) = e0
& op(e0,e0) = e3
& op(e3,e0) != e3 )
| ( op(e3,e3) = e1
& op(e1,e1) = e3
& op(e3,e1) != e3 )
| ( op(e3,e3) = e2
& op(e2,e2) = e3
& op(e3,e2) != e3 )
| ( op(e3,e3) = e3
& op(e3,e3) = e3
& op(e3,e3) != e3 )
| ( op(e3,e3) = e4
& op(e4,e4) = e3
& op(e3,e4) != e3 )
| ( op(e4,e4) = e0
& op(e0,e0) = e4
& op(e4,e0) != e4 )
| ( op(e4,e4) = e1
& op(e1,e1) = e4
& op(e4,e1) != e4 )
| ( op(e4,e4) = e2
& op(e2,e2) = e4
& op(e4,e2) != e4 )
| ( op(e4,e4) = e3
& op(e3,e3) = e4
& op(e4,e3) != e4 )
| ( op(e4,e4) = e4
& op(e4,e4) = e4
& op(e4,e4) != e4 ) )
& ~ ( op(e0,e0) != op(e0,e0)
& op(op(e0,e0),e0) = e0
& op(op(e0,e0),e0) != e0 )
& ~ ( op(e1,e0) != op(e0,e1)
& op(op(e0,e1),e1) = e0
& op(op(e0,e1),e0) != e1 )
& ~ ( op(e2,e0) != op(e0,e2)
& op(op(e0,e2),e2) = e0
& op(op(e0,e2),e0) != e2 )
& ~ ( op(e3,e0) != op(e0,e3)
& op(op(e0,e3),e3) = e0
& op(op(e0,e3),e0) != e3 )
& ~ ( op(e4,e0) != op(e0,e4)
& op(op(e0,e4),e4) = e0
& op(op(e0,e4),e0) != e4 )
& ~ ( op(e0,e1) != op(e1,e0)
& op(op(e1,e0),e0) = e1
& op(op(e1,e0),e1) != e0 )
& ~ ( op(e1,e1) != op(e1,e1)
& op(op(e1,e1),e1) = e1
& op(op(e1,e1),e1) != e1 )
& ~ ( op(e2,e1) != op(e1,e2)
& op(op(e1,e2),e2) = e1
& op(op(e1,e2),e1) != e2 )
& ~ ( op(e3,e1) != op(e1,e3)
& op(op(e1,e3),e3) = e1
& op(op(e1,e3),e1) != e3 )
& ~ ( op(e4,e1) != op(e1,e4)
& op(op(e1,e4),e4) = e1
& op(op(e1,e4),e1) != e4 )
& ~ ( op(e0,e2) != op(e2,e0)
& op(op(e2,e0),e0) = e2
& op(op(e2,e0),e2) != e0 )
& ~ ( op(e1,e2) != op(e2,e1)
& op(op(e2,e1),e1) = e2
& op(op(e2,e1),e2) != e1 )
& ~ ( op(e2,e2) != op(e2,e2)
& op(op(e2,e2),e2) = e2
& op(op(e2,e2),e2) != e2 )
& ~ ( op(e3,e2) != op(e2,e3)
& op(op(e2,e3),e3) = e2
& op(op(e2,e3),e2) != e3 )
& ~ ( op(e4,e2) != op(e2,e4)
& op(op(e2,e4),e4) = e2
& op(op(e2,e4),e2) != e4 )
& ~ ( op(e0,e3) != op(e3,e0)
& op(op(e3,e0),e0) = e3
& op(op(e3,e0),e3) != e0 )
& ~ ( op(e1,e3) != op(e3,e1)
& op(op(e3,e1),e1) = e3
& op(op(e3,e1),e3) != e1 )
& ~ ( op(e2,e3) != op(e3,e2)
& op(op(e3,e2),e2) = e3
& op(op(e3,e2),e3) != e2 )
& ~ ( op(e3,e3) != op(e3,e3)
& op(op(e3,e3),e3) = e3
& op(op(e3,e3),e3) != e3 )
& ~ ( op(e4,e3) != op(e3,e4)
& op(op(e3,e4),e4) = e3
& op(op(e3,e4),e3) != e4 )
& ~ ( op(e0,e4) != op(e4,e0)
& op(op(e4,e0),e0) = e4
& op(op(e4,e0),e4) != e0 )
& ~ ( op(e1,e4) != op(e4,e1)
& op(op(e4,e1),e1) = e4
& op(op(e4,e1),e4) != e1 )
& ~ ( op(e2,e4) != op(e4,e2)
& op(op(e4,e2),e2) = e4
& op(op(e4,e2),e4) != e2 )
& op(e3,e4) != op(e4,e3)
& op(op(e4,e3),e3) = e4 )
=> op(op(e4,e3),e4) = e3 ),
inference(negate,[],[subgoal_23]) ).
fof(normalize_23_0,plain,
( op(e3,e4) != op(e4,e3)
& op(op(e4,e3),e4) != e3
& op(op(e4,e3),e3) = e4
& ( op(op(e0,e1),e1) != e0
| op(e1,e0) = op(e0,e1)
| op(op(e0,e1),e0) = e1 )
& ( op(op(e0,e2),e2) != e0
| op(e2,e0) = op(e0,e2)
| op(op(e0,e2),e0) = e2 )
& ( op(op(e0,e3),e3) != e0
| op(e3,e0) = op(e0,e3)
| op(op(e0,e3),e0) = e3 )
& ( op(op(e0,e4),e4) != e0
| op(e4,e0) = op(e0,e4)
| op(op(e0,e4),e0) = e4 )
& ( op(op(e1,e0),e0) != e1
| op(e0,e1) = op(e1,e0)
| op(op(e1,e0),e1) = e0 )
& ( op(op(e1,e2),e2) != e1
| op(e2,e1) = op(e1,e2)
| op(op(e1,e2),e1) = e2 )
& ( op(op(e1,e3),e3) != e1
| op(e3,e1) = op(e1,e3)
| op(op(e1,e3),e1) = e3 )
& ( op(op(e1,e4),e4) != e1
| op(e4,e1) = op(e1,e4)
| op(op(e1,e4),e1) = e4 )
& ( op(op(e2,e0),e0) != e2
| op(e0,e2) = op(e2,e0)
| op(op(e2,e0),e2) = e0 )
& ( op(op(e2,e1),e1) != e2
| op(e1,e2) = op(e2,e1)
| op(op(e2,e1),e2) = e1 )
& ( op(op(e2,e3),e3) != e2
| op(e3,e2) = op(e2,e3)
| op(op(e2,e3),e2) = e3 )
& ( op(op(e2,e4),e4) != e2
| op(e4,e2) = op(e2,e4)
| op(op(e2,e4),e2) = e4 )
& ( op(op(e3,e0),e0) != e3
| op(e0,e3) = op(e3,e0)
| op(op(e3,e0),e3) = e0 )
& ( op(op(e3,e1),e1) != e3
| op(e1,e3) = op(e3,e1)
| op(op(e3,e1),e3) = e1 )
& ( op(op(e3,e2),e2) != e3
| op(e2,e3) = op(e3,e2)
| op(op(e3,e2),e3) = e2 )
& ( op(op(e3,e4),e4) != e3
| op(e4,e3) = op(e3,e4)
| op(op(e3,e4),e3) = e4 )
& ( op(op(e4,e0),e0) != e4
| op(e0,e4) = op(e4,e0)
| op(op(e4,e0),e4) = e0 )
& ( op(op(e4,e1),e1) != e4
| op(e1,e4) = op(e4,e1)
| op(op(e4,e1),e4) = e1 )
& ( op(op(e4,e2),e2) != e4
| op(e2,e4) = op(e4,e2)
| op(op(e4,e2),e4) = e2 )
& ( ( op(e0,e1) != e0
& op(e0,e0) = e1
& op(e1,e1) = e0 )
| ( op(e0,e2) != e0
& op(e0,e0) = e2
& op(e2,e2) = e0 )
| ( op(e0,e3) != e0
& op(e0,e0) = e3
& op(e3,e3) = e0 )
| ( op(e0,e4) != e0
& op(e0,e0) = e4
& op(e4,e4) = e0 )
| ( op(e1,e0) != e1
& op(e0,e0) = e1
& op(e1,e1) = e0 )
| ( op(e1,e2) != e1
& op(e1,e1) = e2
& op(e2,e2) = e1 )
| ( op(e1,e3) != e1
& op(e1,e1) = e3
& op(e3,e3) = e1 )
| ( op(e1,e4) != e1
& op(e1,e1) = e4
& op(e4,e4) = e1 )
| ( op(e2,e0) != e2
& op(e0,e0) = e2
& op(e2,e2) = e0 )
| ( op(e2,e1) != e2
& op(e1,e1) = e2
& op(e2,e2) = e1 )
| ( op(e2,e3) != e2
& op(e2,e2) = e3
& op(e3,e3) = e2 )
| ( op(e2,e4) != e2
& op(e2,e2) = e4
& op(e4,e4) = e2 )
| ( op(e3,e0) != e3
& op(e0,e0) = e3
& op(e3,e3) = e0 )
| ( op(e3,e1) != e3
& op(e1,e1) = e3
& op(e3,e3) = e1 )
| ( op(e3,e2) != e3
& op(e2,e2) = e3
& op(e3,e3) = e2 )
| ( op(e3,e4) != e3
& op(e3,e3) = e4
& op(e4,e4) = e3 )
| ( op(e4,e0) != e4
& op(e0,e0) = e4
& op(e4,e4) = e0 )
| ( op(e4,e1) != e4
& op(e1,e1) = e4
& op(e4,e4) = e1 )
| ( op(e4,e2) != e4
& op(e2,e2) = e4
& op(e4,e4) = e2 )
| ( op(e4,e3) != e4
& op(e3,e3) = e4
& op(e4,e4) = e3 ) ) ),
inference(canonicalize,[],[negate_23_0]) ).
fof(normalize_23_1,plain,
op(op(e4,e3),e4) != e3,
inference(conjunct,[],[normalize_23_0]) ).
fof(normalize_23_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_23_3,plain,
op(e0,e4) != op(e2,e4),
inference(conjunct,[],[normalize_23_2]) ).
fof(normalize_23_4,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_23_5,plain,
( op(e0,e4) = e0
| op(e0,e4) = e1
| op(e0,e4) = e2
| op(e0,e4) = e3
| op(e0,e4) = e4 ),
inference(conjunct,[],[normalize_23_4]) ).
fof(normalize_23_6,plain,
op(e0,e4) != op(e4,e4),
inference(conjunct,[],[normalize_23_2]) ).
fof(normalize_23_7,plain,
( e0 = op(op(e4,e4),e4)
& e1 = op(e4,e4)
& e2 = op(op(e4,op(e4,e4)),e4)
& e3 = op(e4,op(e4,e4)) ),
inference(canonicalize,[],[ax6]) ).
fof(normalize_23_8,plain,
e1 = op(e4,e4),
inference(conjunct,[],[normalize_23_7]) ).
fof(normalize_23_9,plain,
op(e0,e4) != op(e1,e4),
inference(conjunct,[],[normalize_23_2]) ).
fof(normalize_23_10,plain,
e0 = op(op(e4,e4),e4),
inference(conjunct,[],[normalize_23_7]) ).
fof(normalize_23_11,plain,
op(e0,e4) != op(e3,e4),
inference(conjunct,[],[normalize_23_2]) ).
fof(normalize_23_12,plain,
e2 = op(op(e4,op(e4,e4)),e4),
inference(conjunct,[],[normalize_23_7]) ).
fof(normalize_23_13,plain,
e3 = op(e4,op(e4,e4)),
inference(conjunct,[],[normalize_23_7]) ).
fof(normalize_23_14,plain,
( op(e0,unit) = e0
& op(e1,unit) = e1
& op(e2,unit) = e2
& op(e3,unit) = e3
& op(e4,unit) = e4
& op(unit,e0) = e0
& op(unit,e1) = e1
& op(unit,e2) = e2
& op(unit,e3) = e3
& op(unit,e4) = e4
& ( unit = e0
| unit = e1
| unit = e2
| unit = e3
| unit = e4 ) ),
inference(canonicalize,[],[ax2]) ).
fof(normalize_23_15,plain,
op(unit,e4) = e4,
inference(conjunct,[],[normalize_23_14]) ).
fof(normalize_23_16,plain,
op(e4,unit) = e4,
inference(conjunct,[],[normalize_23_14]) ).
fof(normalize_23_17,plain,
( unit = e0
| unit = e1
| unit = e2
| unit = e3
| unit = e4 ),
inference(conjunct,[],[normalize_23_14]) ).
fof(normalize_23_18,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_23_19,plain,
e0 != e4,
inference(conjunct,[],[normalize_23_18]) ).
fof(normalize_23_20,plain,
e2 != e4,
inference(conjunct,[],[normalize_23_18]) ).
fof(normalize_23_21,plain,
e1 != e4,
inference(conjunct,[],[normalize_23_18]) ).
fof(normalize_23_22,plain,
op(e0,e2) != op(e4,e2),
inference(conjunct,[],[normalize_23_2]) ).
fof(normalize_23_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,[],[ax3]) ).
fof(normalize_23_24,plain,
( op(e4,e0) = e2
| op(e4,e1) = e2
| op(e4,e2) = e2
| op(e4,e3) = e2
| op(e4,e4) = e2 ),
inference(conjunct,[],[normalize_23_23]) ).
fof(normalize_23_25,plain,
e1 != e2,
inference(conjunct,[],[normalize_23_18]) ).
fof(normalize_23_26,plain,
e2 != e3,
inference(conjunct,[],[normalize_23_18]) ).
fof(normalize_23_27,plain,
op(e3,e4) != op(e4,e3),
inference(conjunct,[],[normalize_23_0]) ).
fof(normalize_23_28,plain,
op(unit,e2) = e2,
inference(conjunct,[],[normalize_23_14]) ).
fof(normalize_23_29,plain,
op(e4,e2) != op(e4,e3),
inference(conjunct,[],[normalize_23_2]) ).
fof(normalize_23_30,plain,
( op(e4,e3) = e0
| op(e4,e3) = e1
| op(e4,e3) = e2
| op(e4,e3) = e3
| op(e4,e3) = e4 ),
inference(conjunct,[],[normalize_23_4]) ).
fof(normalize_23_31,plain,
op(e4,e3) != op(e4,e4),
inference(conjunct,[],[normalize_23_2]) ).
fof(normalize_23_32,plain,
op(e4,e1) != op(e4,e3),
inference(conjunct,[],[normalize_23_2]) ).
cnf(refute_23_0,plain,
op(op(e4,e3),e4) != e3,
inference(canonicalize,[],[normalize_23_1]) ).
cnf(refute_23_1,plain,
op(e0,e4) != op(e2,e4),
inference(canonicalize,[],[normalize_23_3]) ).
cnf(refute_23_2,plain,
( op(e0,e4) = e0
| op(e0,e4) = e1
| op(e0,e4) = e2
| op(e0,e4) = e3
| op(e0,e4) = e4 ),
inference(canonicalize,[],[normalize_23_5]) ).
cnf(refute_23_3,plain,
op(e0,e4) != op(e4,e4),
inference(canonicalize,[],[normalize_23_6]) ).
cnf(refute_23_4,plain,
e1 = op(e4,e4),
inference(canonicalize,[],[normalize_23_8]) ).
cnf(refute_23_5,plain,
X = X,
introduced(tautology,[refl,[$fot(X)]]) ).
cnf(refute_23_6,plain,
( X != X
| X != Y
| Y = X ),
introduced(tautology,[equality,[$cnf( $equal(X,X) ),[0],$fot(Y)]]) ).
cnf(refute_23_7,plain,
( X != Y
| Y = X ),
inference(resolve,[$cnf( $equal(X,X) )],[refute_23_5,refute_23_6]) ).
cnf(refute_23_8,plain,
( e1 != op(e4,e4)
| op(e4,e4) = e1 ),
inference(subst,[],[refute_23_7:[bind(X,$fot(e1)),bind(Y,$fot(op(e4,e4)))]]) ).
cnf(refute_23_9,plain,
op(e4,e4) = e1,
inference(resolve,[$cnf( $equal(e1,op(e4,e4)) )],[refute_23_4,refute_23_8]) ).
cnf(refute_23_10,plain,
( op(e0,e4) != e1
| op(e4,e4) != e1
| op(e0,e4) = op(e4,e4) ),
introduced(tautology,[equality,[$cnf( ~ $equal(op(e0,e4),op(e4,e4)) ),[1],$fot(e1)]]) ).
cnf(refute_23_11,plain,
( op(e0,e4) != e1
| op(e0,e4) = op(e4,e4) ),
inference(resolve,[$cnf( $equal(op(e4,e4),e1) )],[refute_23_9,refute_23_10]) ).
cnf(refute_23_12,plain,
op(e0,e4) != e1,
inference(resolve,[$cnf( $equal(op(e0,e4),op(e4,e4)) )],[refute_23_11,refute_23_3]) ).
cnf(refute_23_13,plain,
( op(e0,e4) = e0
| op(e0,e4) = e2
| op(e0,e4) = e3
| op(e0,e4) = e4 ),
inference(resolve,[$cnf( $equal(op(e0,e4),e1) )],[refute_23_2,refute_23_12]) ).
cnf(refute_23_14,plain,
op(e0,e4) != op(e1,e4),
inference(canonicalize,[],[normalize_23_9]) ).
cnf(refute_23_15,plain,
e0 = op(op(e4,e4),e4),
inference(canonicalize,[],[normalize_23_10]) ).
cnf(refute_23_16,plain,
op(op(e4,e4),e4) = op(op(e4,e4),e4),
introduced(tautology,[refl,[$fot(op(op(e4,e4),e4))]]) ).
cnf(refute_23_17,plain,
( op(e4,e4) != e1
| op(op(e4,e4),e4) != op(op(e4,e4),e4)
| op(op(e4,e4),e4) = op(e1,e4) ),
introduced(tautology,[equality,[$cnf( $equal(op(op(e4,e4),e4),op(op(e4,e4),e4)) ),[1,0],$fot(e1)]]) ).
cnf(refute_23_18,plain,
( op(e4,e4) != e1
| op(op(e4,e4),e4) = op(e1,e4) ),
inference(resolve,[$cnf( $equal(op(op(e4,e4),e4),op(op(e4,e4),e4)) )],[refute_23_16,refute_23_17]) ).
cnf(refute_23_19,plain,
op(op(e4,e4),e4) = op(e1,e4),
inference(resolve,[$cnf( $equal(op(e4,e4),e1) )],[refute_23_9,refute_23_18]) ).
cnf(refute_23_20,plain,
( e0 != op(op(e4,e4),e4)
| op(op(e4,e4),e4) != op(e1,e4)
| e0 = op(e1,e4) ),
introduced(tautology,[equality,[$cnf( ~ $equal(e0,op(e1,e4)) ),[0],$fot(op(op(e4,e4),e4))]]) ).
cnf(refute_23_21,plain,
( e0 != op(op(e4,e4),e4)
| e0 = op(e1,e4) ),
inference(resolve,[$cnf( $equal(op(op(e4,e4),e4),op(e1,e4)) )],[refute_23_19,refute_23_20]) ).
cnf(refute_23_22,plain,
e0 = op(e1,e4),
inference(resolve,[$cnf( $equal(e0,op(op(e4,e4),e4)) )],[refute_23_15,refute_23_21]) ).
cnf(refute_23_23,plain,
( e0 != op(e1,e4)
| op(e1,e4) = e0 ),
inference(subst,[],[refute_23_7:[bind(X,$fot(e0)),bind(Y,$fot(op(e1,e4)))]]) ).
cnf(refute_23_24,plain,
op(e1,e4) = e0,
inference(resolve,[$cnf( $equal(e0,op(e1,e4)) )],[refute_23_22,refute_23_23]) ).
cnf(refute_23_25,plain,
( op(e0,e4) != e0
| op(e1,e4) != e0
| op(e0,e4) = op(e1,e4) ),
introduced(tautology,[equality,[$cnf( ~ $equal(op(e0,e4),op(e1,e4)) ),[1],$fot(e0)]]) ).
cnf(refute_23_26,plain,
( op(e0,e4) != e0
| op(e0,e4) = op(e1,e4) ),
inference(resolve,[$cnf( $equal(op(e1,e4),e0) )],[refute_23_24,refute_23_25]) ).
cnf(refute_23_27,plain,
op(e0,e4) != e0,
inference(resolve,[$cnf( $equal(op(e0,e4),op(e1,e4)) )],[refute_23_26,refute_23_14]) ).
cnf(refute_23_28,plain,
( op(e0,e4) = e2
| op(e0,e4) = e3
| op(e0,e4) = e4 ),
inference(resolve,[$cnf( $equal(op(e0,e4),e0) )],[refute_23_13,refute_23_27]) ).
cnf(refute_23_29,plain,
op(e0,e4) != op(e3,e4),
inference(canonicalize,[],[normalize_23_11]) ).
cnf(refute_23_30,plain,
e2 = op(op(e4,op(e4,e4)),e4),
inference(canonicalize,[],[normalize_23_12]) ).
cnf(refute_23_31,plain,
op(e4,op(e4,e4)) = op(e4,op(e4,e4)),
introduced(tautology,[refl,[$fot(op(e4,op(e4,e4)))]]) ).
cnf(refute_23_32,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_23_33,plain,
( op(e4,e4) != e1
| op(e4,op(e4,e4)) = op(e4,e1) ),
inference(resolve,[$cnf( $equal(op(e4,op(e4,e4)),op(e4,op(e4,e4))) )],[refute_23_31,refute_23_32]) ).
cnf(refute_23_34,plain,
op(e4,op(e4,e4)) = op(e4,e1),
inference(resolve,[$cnf( $equal(op(e4,e4),e1) )],[refute_23_9,refute_23_33]) ).
cnf(refute_23_35,plain,
op(op(e4,op(e4,e4)),e4) = op(op(e4,op(e4,e4)),e4),
introduced(tautology,[refl,[$fot(op(op(e4,op(e4,e4)),e4))]]) ).
cnf(refute_23_36,plain,
( op(e4,op(e4,e4)) != op(e4,e1)
| op(op(e4,op(e4,e4)),e4) != op(op(e4,op(e4,e4)),e4)
| op(op(e4,op(e4,e4)),e4) = op(op(e4,e1),e4) ),
introduced(tautology,[equality,[$cnf( $equal(op(op(e4,op(e4,e4)),e4),op(op(e4,op(e4,e4)),e4)) ),[1,0],$fot(op(e4,e1))]]) ).
cnf(refute_23_37,plain,
( op(e4,op(e4,e4)) != op(e4,e1)
| op(op(e4,op(e4,e4)),e4) = op(op(e4,e1),e4) ),
inference(resolve,[$cnf( $equal(op(op(e4,op(e4,e4)),e4),op(op(e4,op(e4,e4)),e4)) )],[refute_23_35,refute_23_36]) ).
cnf(refute_23_38,plain,
op(op(e4,op(e4,e4)),e4) = op(op(e4,e1),e4),
inference(resolve,[$cnf( $equal(op(e4,op(e4,e4)),op(e4,e1)) )],[refute_23_34,refute_23_37]) ).
cnf(refute_23_39,plain,
( e2 != op(op(e4,op(e4,e4)),e4)
| op(op(e4,op(e4,e4)),e4) != op(op(e4,e1),e4)
| e2 = op(op(e4,e1),e4) ),
introduced(tautology,[equality,[$cnf( ~ $equal(e2,op(op(e4,e1),e4)) ),[0],$fot(op(op(e4,op(e4,e4)),e4))]]) ).
cnf(refute_23_40,plain,
( e2 != op(op(e4,op(e4,e4)),e4)
| e2 = op(op(e4,e1),e4) ),
inference(resolve,[$cnf( $equal(op(op(e4,op(e4,e4)),e4),op(op(e4,e1),e4)) )],[refute_23_38,refute_23_39]) ).
cnf(refute_23_41,plain,
e2 = op(op(e4,e1),e4),
inference(resolve,[$cnf( $equal(e2,op(op(e4,op(e4,e4)),e4)) )],[refute_23_30,refute_23_40]) ).
cnf(refute_23_42,plain,
e3 = op(e4,op(e4,e4)),
inference(canonicalize,[],[normalize_23_13]) ).
cnf(refute_23_43,plain,
( e3 != op(e4,op(e4,e4))
| op(e4,op(e4,e4)) != op(e4,e1)
| e3 = op(e4,e1) ),
introduced(tautology,[equality,[$cnf( ~ $equal(e3,op(e4,e1)) ),[0],$fot(op(e4,op(e4,e4)))]]) ).
cnf(refute_23_44,plain,
( e3 != op(e4,op(e4,e4))
| e3 = op(e4,e1) ),
inference(resolve,[$cnf( $equal(op(e4,op(e4,e4)),op(e4,e1)) )],[refute_23_34,refute_23_43]) ).
cnf(refute_23_45,plain,
e3 = op(e4,e1),
inference(resolve,[$cnf( $equal(e3,op(e4,op(e4,e4))) )],[refute_23_42,refute_23_44]) ).
cnf(refute_23_46,plain,
( e3 != op(e4,e1)
| op(e4,e1) = e3 ),
inference(subst,[],[refute_23_7:[bind(X,$fot(e3)),bind(Y,$fot(op(e4,e1)))]]) ).
cnf(refute_23_47,plain,
op(e4,e1) = e3,
inference(resolve,[$cnf( $equal(e3,op(e4,e1)) )],[refute_23_45,refute_23_46]) ).
cnf(refute_23_48,plain,
op(op(e4,e1),e4) = op(op(e4,e1),e4),
introduced(tautology,[refl,[$fot(op(op(e4,e1),e4))]]) ).
cnf(refute_23_49,plain,
( op(e4,e1) != e3
| op(op(e4,e1),e4) != op(op(e4,e1),e4)
| op(op(e4,e1),e4) = op(e3,e4) ),
introduced(tautology,[equality,[$cnf( $equal(op(op(e4,e1),e4),op(op(e4,e1),e4)) ),[1,0],$fot(e3)]]) ).
cnf(refute_23_50,plain,
( op(e4,e1) != e3
| op(op(e4,e1),e4) = op(e3,e4) ),
inference(resolve,[$cnf( $equal(op(op(e4,e1),e4),op(op(e4,e1),e4)) )],[refute_23_48,refute_23_49]) ).
cnf(refute_23_51,plain,
op(op(e4,e1),e4) = op(e3,e4),
inference(resolve,[$cnf( $equal(op(e4,e1),e3) )],[refute_23_47,refute_23_50]) ).
cnf(refute_23_52,plain,
( e2 != op(op(e4,e1),e4)
| op(op(e4,e1),e4) != op(e3,e4)
| e2 = op(e3,e4) ),
introduced(tautology,[equality,[$cnf( ~ $equal(e2,op(e3,e4)) ),[0],$fot(op(op(e4,e1),e4))]]) ).
cnf(refute_23_53,plain,
( e2 != op(op(e4,e1),e4)
| e2 = op(e3,e4) ),
inference(resolve,[$cnf( $equal(op(op(e4,e1),e4),op(e3,e4)) )],[refute_23_51,refute_23_52]) ).
cnf(refute_23_54,plain,
e2 = op(e3,e4),
inference(resolve,[$cnf( $equal(e2,op(op(e4,e1),e4)) )],[refute_23_41,refute_23_53]) ).
cnf(refute_23_55,plain,
( e2 != op(e3,e4)
| op(e3,e4) = e2 ),
inference(subst,[],[refute_23_7:[bind(X,$fot(e2)),bind(Y,$fot(op(e3,e4)))]]) ).
cnf(refute_23_56,plain,
op(e3,e4) = e2,
inference(resolve,[$cnf( $equal(e2,op(e3,e4)) )],[refute_23_54,refute_23_55]) ).
cnf(refute_23_57,plain,
( op(e0,e4) != e2
| op(e3,e4) != e2
| op(e0,e4) = op(e3,e4) ),
introduced(tautology,[equality,[$cnf( ~ $equal(op(e0,e4),op(e3,e4)) ),[1],$fot(e2)]]) ).
cnf(refute_23_58,plain,
( op(e0,e4) != e2
| op(e0,e4) = op(e3,e4) ),
inference(resolve,[$cnf( $equal(op(e3,e4),e2) )],[refute_23_56,refute_23_57]) ).
cnf(refute_23_59,plain,
op(e0,e4) != e2,
inference(resolve,[$cnf( $equal(op(e0,e4),op(e3,e4)) )],[refute_23_58,refute_23_29]) ).
cnf(refute_23_60,plain,
( op(e0,e4) = e3
| op(e0,e4) = e4 ),
inference(resolve,[$cnf( $equal(op(e0,e4),e2) )],[refute_23_28,refute_23_59]) ).
cnf(refute_23_61,plain,
( e4 != op(e2,e4)
| op(e0,e4) != e4
| op(e0,e4) = op(e2,e4) ),
introduced(tautology,[equality,[$cnf( $equal(op(e0,e4),e4) ),[1],$fot(op(e2,e4))]]) ).
cnf(refute_23_62,plain,
( e4 != op(e2,e4)
| op(e0,e4) = e3
| op(e0,e4) = op(e2,e4) ),
inference(resolve,[$cnf( $equal(op(e0,e4),e4) )],[refute_23_60,refute_23_61]) ).
cnf(refute_23_63,plain,
( e4 != op(e2,e4)
| op(e0,e4) = e3 ),
inference(resolve,[$cnf( $equal(op(e0,e4),op(e2,e4)) )],[refute_23_62,refute_23_1]) ).
cnf(refute_23_64,plain,
op(unit,e4) = e4,
inference(canonicalize,[],[normalize_23_15]) ).
cnf(refute_23_65,plain,
op(e4,unit) = e4,
inference(canonicalize,[],[normalize_23_16]) ).
cnf(refute_23_66,plain,
( unit = e0
| unit = e1
| unit = e2
| unit = e3
| unit = e4 ),
inference(canonicalize,[],[normalize_23_17]) ).
cnf(refute_23_67,plain,
( op(unit,e4) != e4
| unit != e1
| op(e1,e4) = e4 ),
introduced(tautology,[equality,[$cnf( $equal(op(unit,e4),e4) ),[0,0],$fot(e1)]]) ).
cnf(refute_23_68,plain,
( op(unit,e4) != e4
| op(e1,e4) = e4
| unit = e0
| unit = e2
| unit = e3
| unit = e4 ),
inference(resolve,[$cnf( $equal(unit,e1) )],[refute_23_66,refute_23_67]) ).
cnf(refute_23_69,plain,
( op(e1,e4) = e4
| unit = e0
| unit = e2
| unit = e3
| unit = e4 ),
inference(resolve,[$cnf( $equal(op(unit,e4),e4) )],[refute_23_64,refute_23_68]) ).
cnf(refute_23_70,plain,
( op(e1,e4) != e0
| op(e1,e4) != e4
| e0 = e4 ),
introduced(tautology,[equality,[$cnf( $equal(op(e1,e4),e4) ),[0],$fot(e0)]]) ).
cnf(refute_23_71,plain,
( op(e1,e4) != e4
| e0 = e4 ),
inference(resolve,[$cnf( $equal(op(e1,e4),e0) )],[refute_23_24,refute_23_70]) ).
cnf(refute_23_72,plain,
( e0 = e4
| unit = e0
| unit = e2
| unit = e3
| unit = e4 ),
inference(resolve,[$cnf( $equal(op(e1,e4),e4) )],[refute_23_69,refute_23_71]) ).
cnf(refute_23_73,plain,
e0 != e4,
inference(canonicalize,[],[normalize_23_19]) ).
cnf(refute_23_74,plain,
( unit = e0
| unit = e2
| unit = e3
| unit = e4 ),
inference(resolve,[$cnf( $equal(e0,e4) )],[refute_23_72,refute_23_73]) ).
cnf(refute_23_75,plain,
( op(unit,e4) != e4
| unit != e3
| op(e3,e4) = e4 ),
introduced(tautology,[equality,[$cnf( $equal(op(unit,e4),e4) ),[0,0],$fot(e3)]]) ).
cnf(refute_23_76,plain,
( op(unit,e4) != e4
| op(e3,e4) = e4
| unit = e0
| unit = e2
| unit = e4 ),
inference(resolve,[$cnf( $equal(unit,e3) )],[refute_23_74,refute_23_75]) ).
cnf(refute_23_77,plain,
( op(e3,e4) = e4
| unit = e0
| unit = e2
| unit = e4 ),
inference(resolve,[$cnf( $equal(op(unit,e4),e4) )],[refute_23_64,refute_23_76]) ).
cnf(refute_23_78,plain,
( op(e3,e4) != e2
| op(e3,e4) != e4
| e2 = e4 ),
introduced(tautology,[equality,[$cnf( $equal(op(e3,e4),e4) ),[0],$fot(e2)]]) ).
cnf(refute_23_79,plain,
( op(e3,e4) != e4
| e2 = e4 ),
inference(resolve,[$cnf( $equal(op(e3,e4),e2) )],[refute_23_56,refute_23_78]) ).
cnf(refute_23_80,plain,
( e2 = e4
| unit = e0
| unit = e2
| unit = e4 ),
inference(resolve,[$cnf( $equal(op(e3,e4),e4) )],[refute_23_77,refute_23_79]) ).
cnf(refute_23_81,plain,
e2 != e4,
inference(canonicalize,[],[normalize_23_20]) ).
cnf(refute_23_82,plain,
( unit = e0
| unit = e2
| unit = e4 ),
inference(resolve,[$cnf( $equal(e2,e4) )],[refute_23_80,refute_23_81]) ).
cnf(refute_23_83,plain,
( op(unit,e4) != e4
| unit != e4
| op(e4,e4) = e4 ),
introduced(tautology,[equality,[$cnf( $equal(op(unit,e4),e4) ),[0,0],$fot(e4)]]) ).
cnf(refute_23_84,plain,
( op(unit,e4) != e4
| op(e4,e4) = e4
| unit = e0
| unit = e2 ),
inference(resolve,[$cnf( $equal(unit,e4) )],[refute_23_82,refute_23_83]) ).
cnf(refute_23_85,plain,
( op(e4,e4) = e4
| unit = e0
| unit = e2 ),
inference(resolve,[$cnf( $equal(op(unit,e4),e4) )],[refute_23_64,refute_23_84]) ).
cnf(refute_23_86,plain,
( op(e4,e4) != e1
| op(e4,e4) != e4
| e1 = e4 ),
introduced(tautology,[equality,[$cnf( $equal(op(e4,e4),e4) ),[0],$fot(e1)]]) ).
cnf(refute_23_87,plain,
( op(e4,e4) != e4
| e1 = e4 ),
inference(resolve,[$cnf( $equal(op(e4,e4),e1) )],[refute_23_9,refute_23_86]) ).
cnf(refute_23_88,plain,
( e1 = e4
| unit = e0
| unit = e2 ),
inference(resolve,[$cnf( $equal(op(e4,e4),e4) )],[refute_23_85,refute_23_87]) ).
cnf(refute_23_89,plain,
e1 != e4,
inference(canonicalize,[],[normalize_23_21]) ).
cnf(refute_23_90,plain,
( unit = e0
| unit = e2 ),
inference(resolve,[$cnf( $equal(e1,e4) )],[refute_23_88,refute_23_89]) ).
cnf(refute_23_91,plain,
( op(e4,unit) != e4
| unit != e0
| op(e4,e0) = e4 ),
introduced(tautology,[equality,[$cnf( $equal(op(e4,unit),e4) ),[0,1],$fot(e0)]]) ).
cnf(refute_23_92,plain,
( op(e4,unit) != e4
| op(e4,e0) = e4
| unit = e2 ),
inference(resolve,[$cnf( $equal(unit,e0) )],[refute_23_90,refute_23_91]) ).
cnf(refute_23_93,plain,
( op(e4,e0) = e4
| unit = e2 ),
inference(resolve,[$cnf( $equal(op(e4,unit),e4) )],[refute_23_65,refute_23_92]) ).
cnf(refute_23_94,plain,
op(e0,e2) != op(e4,e2),
inference(canonicalize,[],[normalize_23_22]) ).
cnf(refute_23_95,plain,
( op(e4,e0) = e2
| op(e4,e1) = e2
| op(e4,e2) = e2
| op(e4,e3) = e2
| op(e4,e4) = e2 ),
inference(canonicalize,[],[normalize_23_24]) ).
cnf(refute_23_96,plain,
( op(e4,e1) != e2
| op(e4,e1) != e3
| e3 = e2 ),
introduced(tautology,[equality,[$cnf( $equal(op(e4,e1),e2) ),[0],$fot(e3)]]) ).
cnf(refute_23_97,plain,
( op(e4,e1) != e2
| e3 = e2 ),
inference(resolve,[$cnf( $equal(op(e4,e1),e3) )],[refute_23_47,refute_23_96]) ).
cnf(refute_23_98,plain,
( e3 = e2
| op(e4,e0) = e2
| op(e4,e2) = e2
| op(e4,e3) = e2
| op(e4,e4) = e2 ),
inference(resolve,[$cnf( $equal(op(e4,e1),e2) )],[refute_23_95,refute_23_97]) ).
cnf(refute_23_99,plain,
( op(e4,e4) != e1
| op(e4,e4) != e2
| e1 = e2 ),
introduced(tautology,[equality,[$cnf( $equal(op(e4,e4),e2) ),[0],$fot(e1)]]) ).
cnf(refute_23_100,plain,
( op(e4,e4) != e2
| e1 = e2 ),
inference(resolve,[$cnf( $equal(op(e4,e4),e1) )],[refute_23_9,refute_23_99]) ).
cnf(refute_23_101,plain,
( e1 = e2
| e3 = e2
| op(e4,e0) = e2
| op(e4,e2) = e2
| op(e4,e3) = e2 ),
inference(resolve,[$cnf( $equal(op(e4,e4),e2) )],[refute_23_98,refute_23_100]) ).
cnf(refute_23_102,plain,
e1 != e2,
inference(canonicalize,[],[normalize_23_25]) ).
cnf(refute_23_103,plain,
( e3 = e2
| op(e4,e0) = e2
| op(e4,e2) = e2
| op(e4,e3) = e2 ),
inference(resolve,[$cnf( $equal(e1,e2) )],[refute_23_101,refute_23_102]) ).
cnf(refute_23_104,plain,
e2 != e3,
inference(canonicalize,[],[normalize_23_26]) ).
cnf(refute_23_105,plain,
( e3 != e2
| e2 = e3 ),
inference(subst,[],[refute_23_7:[bind(X,$fot(e3)),bind(Y,$fot(e2))]]) ).
cnf(refute_23_106,plain,
e3 != e2,
inference(resolve,[$cnf( $equal(e2,e3) )],[refute_23_105,refute_23_104]) ).
cnf(refute_23_107,plain,
( op(e4,e0) = e2
| op(e4,e2) = e2
| op(e4,e3) = e2 ),
inference(resolve,[$cnf( $equal(e3,e2) )],[refute_23_103,refute_23_106]) ).
cnf(refute_23_108,plain,
op(e3,e4) != op(e4,e3),
inference(canonicalize,[],[normalize_23_27]) ).
cnf(refute_23_109,plain,
( e2 != op(e4,e3)
| op(e3,e4) != e2
| op(e3,e4) = op(e4,e3) ),
introduced(tautology,[equality,[$cnf( $equal(op(e3,e4),e2) ),[1],$fot(op(e4,e3))]]) ).
cnf(refute_23_110,plain,
( e2 != op(e4,e3)
| op(e3,e4) = op(e4,e3) ),
inference(resolve,[$cnf( $equal(op(e3,e4),e2) )],[refute_23_56,refute_23_109]) ).
cnf(refute_23_111,plain,
e2 != op(e4,e3),
inference(resolve,[$cnf( $equal(op(e3,e4),op(e4,e3)) )],[refute_23_110,refute_23_108]) ).
cnf(refute_23_112,plain,
( op(e4,e3) != e2
| e2 = op(e4,e3) ),
inference(subst,[],[refute_23_7:[bind(X,$fot(op(e4,e3))),bind(Y,$fot(e2))]]) ).
cnf(refute_23_113,plain,
op(e4,e3) != e2,
inference(resolve,[$cnf( $equal(e2,op(e4,e3)) )],[refute_23_112,refute_23_111]) ).
cnf(refute_23_114,plain,
( op(e4,e0) = e2
| op(e4,e2) = e2 ),
inference(resolve,[$cnf( $equal(op(e4,e3),e2) )],[refute_23_107,refute_23_113]) ).
cnf(refute_23_115,plain,
( op(e0,e2) != e2
| op(e4,e2) != e2
| op(e0,e2) = op(e4,e2) ),
introduced(tautology,[equality,[$cnf( ~ $equal(op(e0,e2),op(e4,e2)) ),[1],$fot(e2)]]) ).
cnf(refute_23_116,plain,
( op(e0,e2) != e2
| op(e0,e2) = op(e4,e2)
| op(e4,e0) = e2 ),
inference(resolve,[$cnf( $equal(op(e4,e2),e2) )],[refute_23_114,refute_23_115]) ).
cnf(refute_23_117,plain,
( op(e0,e2) != e2
| op(e4,e0) = e2 ),
inference(resolve,[$cnf( $equal(op(e0,e2),op(e4,e2)) )],[refute_23_116,refute_23_94]) ).
cnf(refute_23_118,plain,
op(unit,e2) = e2,
inference(canonicalize,[],[normalize_23_28]) ).
cnf(refute_23_119,plain,
( op(unit,e2) != e2
| unit != e0
| op(e0,e2) = e2 ),
introduced(tautology,[equality,[$cnf( $equal(op(unit,e2),e2) ),[0,0],$fot(e0)]]) ).
cnf(refute_23_120,plain,
( op(unit,e2) != e2
| op(e0,e2) = e2
| unit = e2 ),
inference(resolve,[$cnf( $equal(unit,e0) )],[refute_23_90,refute_23_119]) ).
cnf(refute_23_121,plain,
( op(e0,e2) = e2
| unit = e2 ),
inference(resolve,[$cnf( $equal(op(unit,e2),e2) )],[refute_23_118,refute_23_120]) ).
cnf(refute_23_122,plain,
( e2 != e2
| op(e0,e2) != e2
| op(e0,e2) = e2 ),
introduced(tautology,[equality,[$cnf( $equal(op(e0,e2),e2) ),[0,1],$fot(e2)]]) ).
cnf(refute_23_123,plain,
( e2 != e2
| op(e0,e2) = e2
| unit = e2 ),
inference(resolve,[$cnf( $equal(op(e0,e2),e2) )],[refute_23_121,refute_23_122]) ).
cnf(refute_23_124,plain,
( e2 != e2
| op(e4,e0) = e2
| unit = e2 ),
inference(resolve,[$cnf( $equal(op(e0,e2),e2) )],[refute_23_123,refute_23_117]) ).
cnf(refute_23_125,plain,
e2 = e2,
introduced(tautology,[refl,[$fot(e2)]]) ).
cnf(refute_23_126,plain,
( op(e4,e0) = e2
| unit = e2 ),
inference(resolve,[$cnf( $equal(e2,e2) )],[refute_23_125,refute_23_124]) ).
cnf(refute_23_127,plain,
( op(e4,e0) != e2
| op(e4,e0) != e4
| e2 = e4 ),
introduced(tautology,[equality,[$cnf( $equal(op(e4,e0),e4) ),[0],$fot(e2)]]) ).
cnf(refute_23_128,plain,
( op(e4,e0) != e4
| e2 = e4
| unit = e2 ),
inference(resolve,[$cnf( $equal(op(e4,e0),e2) )],[refute_23_126,refute_23_127]) ).
cnf(refute_23_129,plain,
( e2 = e4
| unit = e2 ),
inference(resolve,[$cnf( $equal(op(e4,e0),e4) )],[refute_23_93,refute_23_128]) ).
cnf(refute_23_130,plain,
unit = e2,
inference(resolve,[$cnf( $equal(e2,e4) )],[refute_23_129,refute_23_81]) ).
cnf(refute_23_131,plain,
op(unit,e4) = op(unit,e4),
introduced(tautology,[refl,[$fot(op(unit,e4))]]) ).
cnf(refute_23_132,plain,
( op(unit,e4) != op(unit,e4)
| unit != e2
| op(unit,e4) = op(e2,e4) ),
introduced(tautology,[equality,[$cnf( $equal(op(unit,e4),op(unit,e4)) ),[1,0],$fot(e2)]]) ).
cnf(refute_23_133,plain,
( unit != e2
| op(unit,e4) = op(e2,e4) ),
inference(resolve,[$cnf( $equal(op(unit,e4),op(unit,e4)) )],[refute_23_131,refute_23_132]) ).
cnf(refute_23_134,plain,
op(unit,e4) = op(e2,e4),
inference(resolve,[$cnf( $equal(unit,e2) )],[refute_23_130,refute_23_133]) ).
cnf(refute_23_135,plain,
( op(unit,e4) != e4
| op(unit,e4) != op(e2,e4)
| op(e2,e4) = e4 ),
introduced(tautology,[equality,[$cnf( $equal(op(unit,e4),e4) ),[0],$fot(op(e2,e4))]]) ).
cnf(refute_23_136,plain,
( op(unit,e4) != e4
| op(e2,e4) = e4 ),
inference(resolve,[$cnf( $equal(op(unit,e4),op(e2,e4)) )],[refute_23_134,refute_23_135]) ).
cnf(refute_23_137,plain,
op(e2,e4) = e4,
inference(resolve,[$cnf( $equal(op(unit,e4),e4) )],[refute_23_64,refute_23_136]) ).
cnf(refute_23_138,plain,
( e4 != e4
| op(e2,e4) != e4
| e4 = op(e2,e4) ),
introduced(tautology,[equality,[$cnf( ~ $equal(e4,op(e2,e4)) ),[1],$fot(e4)]]) ).
cnf(refute_23_139,plain,
( e4 != e4
| e4 = op(e2,e4) ),
inference(resolve,[$cnf( $equal(op(e2,e4),e4) )],[refute_23_137,refute_23_138]) ).
cnf(refute_23_140,plain,
( e4 != e4
| op(e0,e4) = e3 ),
inference(resolve,[$cnf( $equal(e4,op(e2,e4)) )],[refute_23_139,refute_23_63]) ).
cnf(refute_23_141,plain,
e4 = e4,
introduced(tautology,[refl,[$fot(e4)]]) ).
cnf(refute_23_142,plain,
op(e0,e4) = e3,
inference(resolve,[$cnf( $equal(e4,e4) )],[refute_23_141,refute_23_140]) ).
cnf(refute_23_143,plain,
op(e4,e2) != op(e4,e3),
inference(canonicalize,[],[normalize_23_29]) ).
cnf(refute_23_144,plain,
( op(e4,e3) = e0
| op(e4,e3) = e1
| op(e4,e3) = e2
| op(e4,e3) = e3
| op(e4,e3) = e4 ),
inference(canonicalize,[],[normalize_23_30]) ).
cnf(refute_23_145,plain,
op(e4,e3) != op(e4,e4),
inference(canonicalize,[],[normalize_23_31]) ).
cnf(refute_23_146,plain,
( op(e4,e3) != e1
| op(e4,e4) != e1
| op(e4,e3) = op(e4,e4) ),
introduced(tautology,[equality,[$cnf( ~ $equal(op(e4,e3),op(e4,e4)) ),[1],$fot(e1)]]) ).
cnf(refute_23_147,plain,
( op(e4,e3) != e1
| op(e4,e3) = op(e4,e4) ),
inference(resolve,[$cnf( $equal(op(e4,e4),e1) )],[refute_23_9,refute_23_146]) ).
cnf(refute_23_148,plain,
op(e4,e3) != e1,
inference(resolve,[$cnf( $equal(op(e4,e3),op(e4,e4)) )],[refute_23_147,refute_23_145]) ).
cnf(refute_23_149,plain,
( op(e4,e3) = e0
| op(e4,e3) = e2
| op(e4,e3) = e3
| op(e4,e3) = e4 ),
inference(resolve,[$cnf( $equal(op(e4,e3),e1) )],[refute_23_144,refute_23_148]) ).
cnf(refute_23_150,plain,
op(e4,e1) != op(e4,e3),
inference(canonicalize,[],[normalize_23_32]) ).
cnf(refute_23_151,plain,
( e3 != op(e4,e3)
| op(e4,e1) != e3
| op(e4,e1) = op(e4,e3) ),
introduced(tautology,[equality,[$cnf( $equal(op(e4,e1),e3) ),[1],$fot(op(e4,e3))]]) ).
cnf(refute_23_152,plain,
( e3 != op(e4,e3)
| op(e4,e1) = op(e4,e3) ),
inference(resolve,[$cnf( $equal(op(e4,e1),e3) )],[refute_23_47,refute_23_151]) ).
cnf(refute_23_153,plain,
e3 != op(e4,e3),
inference(resolve,[$cnf( $equal(op(e4,e1),op(e4,e3)) )],[refute_23_152,refute_23_150]) ).
cnf(refute_23_154,plain,
( op(e4,e3) != e3
| e3 = op(e4,e3) ),
inference(subst,[],[refute_23_7:[bind(X,$fot(op(e4,e3))),bind(Y,$fot(e3))]]) ).
cnf(refute_23_155,plain,
op(e4,e3) != e3,
inference(resolve,[$cnf( $equal(e3,op(e4,e3)) )],[refute_23_154,refute_23_153]) ).
cnf(refute_23_156,plain,
( op(e4,e3) = e0
| op(e4,e3) = e2
| op(e4,e3) = e4 ),
inference(resolve,[$cnf( $equal(op(e4,e3),e3) )],[refute_23_149,refute_23_155]) ).
cnf(refute_23_157,plain,
( op(e4,e3) = e0
| op(e4,e3) = e4 ),
inference(resolve,[$cnf( $equal(op(e4,e3),e2) )],[refute_23_156,refute_23_113]) ).
cnf(refute_23_158,plain,
( op(e4,e2) != e4
| op(e4,e3) != e4
| op(e4,e2) = op(e4,e3) ),
introduced(tautology,[equality,[$cnf( ~ $equal(op(e4,e2),op(e4,e3)) ),[1],$fot(e4)]]) ).
cnf(refute_23_159,plain,
( op(e4,e2) != e4
| op(e4,e2) = op(e4,e3)
| op(e4,e3) = e0 ),
inference(resolve,[$cnf( $equal(op(e4,e3),e4) )],[refute_23_157,refute_23_158]) ).
cnf(refute_23_160,plain,
( op(e4,e2) != e4
| op(e4,e3) = e0 ),
inference(resolve,[$cnf( $equal(op(e4,e2),op(e4,e3)) )],[refute_23_159,refute_23_143]) ).
cnf(refute_23_161,plain,
op(e4,unit) = op(e4,unit),
introduced(tautology,[refl,[$fot(op(e4,unit))]]) ).
cnf(refute_23_162,plain,
( op(e4,unit) != op(e4,unit)
| unit != e2
| op(e4,unit) = op(e4,e2) ),
introduced(tautology,[equality,[$cnf( $equal(op(e4,unit),op(e4,unit)) ),[1,1],$fot(e2)]]) ).
cnf(refute_23_163,plain,
( unit != e2
| op(e4,unit) = op(e4,e2) ),
inference(resolve,[$cnf( $equal(op(e4,unit),op(e4,unit)) )],[refute_23_161,refute_23_162]) ).
cnf(refute_23_164,plain,
op(e4,unit) = op(e4,e2),
inference(resolve,[$cnf( $equal(unit,e2) )],[refute_23_130,refute_23_163]) ).
cnf(refute_23_165,plain,
( op(e4,unit) != e4
| op(e4,unit) != op(e4,e2)
| op(e4,e2) = e4 ),
introduced(tautology,[equality,[$cnf( $equal(op(e4,unit),e4) ),[0],$fot(op(e4,e2))]]) ).
cnf(refute_23_166,plain,
( op(e4,unit) != e4
| op(e4,e2) = e4 ),
inference(resolve,[$cnf( $equal(op(e4,unit),op(e4,e2)) )],[refute_23_164,refute_23_165]) ).
cnf(refute_23_167,plain,
op(e4,e2) = e4,
inference(resolve,[$cnf( $equal(op(e4,unit),e4) )],[refute_23_65,refute_23_166]) ).
cnf(refute_23_168,plain,
( e4 != e4
| op(e4,e2) != e4
| op(e4,e2) = e4 ),
introduced(tautology,[equality,[$cnf( $equal(op(e4,e2),e4) ),[0,0],$fot(e4)]]) ).
cnf(refute_23_169,plain,
( e4 != e4
| op(e4,e2) = e4 ),
inference(resolve,[$cnf( $equal(op(e4,e2),e4) )],[refute_23_167,refute_23_168]) ).
cnf(refute_23_170,plain,
( e4 != e4
| op(e4,e3) = e0 ),
inference(resolve,[$cnf( $equal(op(e4,e2),e4) )],[refute_23_169,refute_23_160]) ).
cnf(refute_23_171,plain,
op(e4,e3) = e0,
inference(resolve,[$cnf( $equal(e4,e4) )],[refute_23_141,refute_23_170]) ).
cnf(refute_23_172,plain,
op(op(e4,e3),e4) = op(op(e4,e3),e4),
introduced(tautology,[refl,[$fot(op(op(e4,e3),e4))]]) ).
cnf(refute_23_173,plain,
( op(e4,e3) != e0
| op(op(e4,e3),e4) != op(op(e4,e3),e4)
| op(op(e4,e3),e4) = op(e0,e4) ),
introduced(tautology,[equality,[$cnf( $equal(op(op(e4,e3),e4),op(op(e4,e3),e4)) ),[1,0],$fot(e0)]]) ).
cnf(refute_23_174,plain,
( op(e4,e3) != e0
| op(op(e4,e3),e4) = op(e0,e4) ),
inference(resolve,[$cnf( $equal(op(op(e4,e3),e4),op(op(e4,e3),e4)) )],[refute_23_172,refute_23_173]) ).
cnf(refute_23_175,plain,
op(op(e4,e3),e4) = op(e0,e4),
inference(resolve,[$cnf( $equal(op(e4,e3),e0) )],[refute_23_171,refute_23_174]) ).
cnf(refute_23_176,plain,
( Y != X
| Y != Z
| X = Z ),
introduced(tautology,[equality,[$cnf( $equal(Y,Z) ),[0],$fot(X)]]) ).
cnf(refute_23_177,plain,
( X != Y
| Y != Z
| X = Z ),
inference(resolve,[$cnf( $equal(Y,X) )],[refute_23_7,refute_23_176]) ).
cnf(refute_23_178,plain,
( op(e0,e4) != e3
| op(op(e4,e3),e4) != op(e0,e4)
| op(op(e4,e3),e4) = e3 ),
inference(subst,[],[refute_23_177:[bind(X,$fot(op(op(e4,e3),e4))),bind(Y,$fot(op(e0,e4))),bind(Z,$fot(e3))]]) ).
cnf(refute_23_179,plain,
( op(e0,e4) != e3
| op(op(e4,e3),e4) = e3 ),
inference(resolve,[$cnf( $equal(op(op(e4,e3),e4),op(e0,e4)) )],[refute_23_175,refute_23_178]) ).
cnf(refute_23_180,plain,
op(op(e4,e3),e4) = e3,
inference(resolve,[$cnf( $equal(op(e0,e4),e3) )],[refute_23_142,refute_23_179]) ).
cnf(refute_23_181,plain,
( e3 != e3
| op(op(e4,e3),e4) != e3
| op(op(e4,e3),e4) = e3 ),
introduced(tautology,[equality,[$cnf( $equal(op(op(e4,e3),e4),e3) ),[0,0,1],$fot(e3)]]) ).
cnf(refute_23_182,plain,
( e3 != e3
| op(op(e4,e3),e4) = e3 ),
inference(resolve,[$cnf( $equal(op(op(e4,e3),e4),e3) )],[refute_23_180,refute_23_181]) ).
cnf(refute_23_183,plain,
e3 != e3,
inference(resolve,[$cnf( $equal(op(op(e4,e3),e4),e3) )],[refute_23_182,refute_23_0]) ).
cnf(refute_23_184,plain,
e3 = e3,
introduced(tautology,[refl,[$fot(e3)]]) ).
cnf(refute_23_185,plain,
$false,
inference(resolve,[$cnf( $equal(e3,e3) )],[refute_23_184,refute_23_183]) ).
fof(negate_24_0,plain,
~ ( ( ( ( op(e0,e0) = e0
& op(e0,e0) = e0
& op(e0,e0) != e0 )
| ( op(e0,e0) = e1
& op(e1,e1) = e0
& op(e0,e1) != e0 )
| ( op(e0,e0) = e2
& op(e2,e2) = e0
& op(e0,e2) != e0 )
| ( op(e0,e0) = e3
& op(e3,e3) = e0
& op(e0,e3) != e0 )
| ( op(e0,e0) = e4
& op(e4,e4) = e0
& op(e0,e4) != e0 )
| ( op(e1,e1) = e0
& op(e0,e0) = e1
& op(e1,e0) != e1 )
| ( op(e1,e1) = e1
& op(e1,e1) = e1
& op(e1,e1) != e1 )
| ( op(e1,e1) = e2
& op(e2,e2) = e1
& op(e1,e2) != e1 )
| ( op(e1,e1) = e3
& op(e3,e3) = e1
& op(e1,e3) != e1 )
| ( op(e1,e1) = e4
& op(e4,e4) = e1
& op(e1,e4) != e1 )
| ( op(e2,e2) = e0
& op(e0,e0) = e2
& op(e2,e0) != e2 )
| ( op(e2,e2) = e1
& op(e1,e1) = e2
& op(e2,e1) != e2 )
| ( op(e2,e2) = e2
& op(e2,e2) = e2
& op(e2,e2) != e2 )
| ( op(e2,e2) = e3
& op(e3,e3) = e2
& op(e2,e3) != e2 )
| ( op(e2,e2) = e4
& op(e4,e4) = e2
& op(e2,e4) != e2 )
| ( op(e3,e3) = e0
& op(e0,e0) = e3
& op(e3,e0) != e3 )
| ( op(e3,e3) = e1
& op(e1,e1) = e3
& op(e3,e1) != e3 )
| ( op(e3,e3) = e2
& op(e2,e2) = e3
& op(e3,e2) != e3 )
| ( op(e3,e3) = e3
& op(e3,e3) = e3
& op(e3,e3) != e3 )
| ( op(e3,e3) = e4
& op(e4,e4) = e3
& op(e3,e4) != e3 )
| ( op(e4,e4) = e0
& op(e0,e0) = e4
& op(e4,e0) != e4 )
| ( op(e4,e4) = e1
& op(e1,e1) = e4
& op(e4,e1) != e4 )
| ( op(e4,e4) = e2
& op(e2,e2) = e4
& op(e4,e2) != e4 )
| ( op(e4,e4) = e3
& op(e3,e3) = e4
& op(e4,e3) != e4 )
| ( op(e4,e4) = e4
& op(e4,e4) = e4
& op(e4,e4) != e4 ) )
& ~ ( op(e0,e0) != op(e0,e0)
& op(op(e0,e0),e0) = e0
& op(op(e0,e0),e0) != e0 )
& ~ ( op(e1,e0) != op(e0,e1)
& op(op(e0,e1),e1) = e0
& op(op(e0,e1),e0) != e1 )
& ~ ( op(e2,e0) != op(e0,e2)
& op(op(e0,e2),e2) = e0
& op(op(e0,e2),e0) != e2 )
& ~ ( op(e3,e0) != op(e0,e3)
& op(op(e0,e3),e3) = e0
& op(op(e0,e3),e0) != e3 )
& ~ ( op(e4,e0) != op(e0,e4)
& op(op(e0,e4),e4) = e0
& op(op(e0,e4),e0) != e4 )
& ~ ( op(e0,e1) != op(e1,e0)
& op(op(e1,e0),e0) = e1
& op(op(e1,e0),e1) != e0 )
& ~ ( op(e1,e1) != op(e1,e1)
& op(op(e1,e1),e1) = e1
& op(op(e1,e1),e1) != e1 )
& ~ ( op(e2,e1) != op(e1,e2)
& op(op(e1,e2),e2) = e1
& op(op(e1,e2),e1) != e2 )
& ~ ( op(e3,e1) != op(e1,e3)
& op(op(e1,e3),e3) = e1
& op(op(e1,e3),e1) != e3 )
& ~ ( op(e4,e1) != op(e1,e4)
& op(op(e1,e4),e4) = e1
& op(op(e1,e4),e1) != e4 )
& ~ ( op(e0,e2) != op(e2,e0)
& op(op(e2,e0),e0) = e2
& op(op(e2,e0),e2) != e0 )
& ~ ( op(e1,e2) != op(e2,e1)
& op(op(e2,e1),e1) = e2
& op(op(e2,e1),e2) != e1 )
& ~ ( op(e2,e2) != op(e2,e2)
& op(op(e2,e2),e2) = e2
& op(op(e2,e2),e2) != e2 )
& ~ ( op(e3,e2) != op(e2,e3)
& op(op(e2,e3),e3) = e2
& op(op(e2,e3),e2) != e3 )
& ~ ( op(e4,e2) != op(e2,e4)
& op(op(e2,e4),e4) = e2
& op(op(e2,e4),e2) != e4 )
& ~ ( op(e0,e3) != op(e3,e0)
& op(op(e3,e0),e0) = e3
& op(op(e3,e0),e3) != e0 )
& ~ ( op(e1,e3) != op(e3,e1)
& op(op(e3,e1),e1) = e3
& op(op(e3,e1),e3) != e1 )
& ~ ( op(e2,e3) != op(e3,e2)
& op(op(e3,e2),e2) = e3
& op(op(e3,e2),e3) != e2 )
& ~ ( op(e3,e3) != op(e3,e3)
& op(op(e3,e3),e3) = e3
& op(op(e3,e3),e3) != e3 )
& ~ ( op(e4,e3) != op(e3,e4)
& op(op(e3,e4),e4) = e3
& op(op(e3,e4),e3) != e4 )
& ~ ( op(e0,e4) != op(e4,e0)
& op(op(e4,e0),e0) = e4
& op(op(e4,e0),e4) != e0 )
& ~ ( op(e1,e4) != op(e4,e1)
& op(op(e4,e1),e1) = e4
& op(op(e4,e1),e4) != e1 )
& ~ ( op(e2,e4) != op(e4,e2)
& op(op(e4,e2),e2) = e4
& op(op(e4,e2),e4) != e2 )
& ~ ( op(e3,e4) != op(e4,e3)
& op(op(e4,e3),e3) = e4
& op(op(e4,e3),e4) != e3 )
& op(e4,e4) != op(e4,e4)
& op(op(e4,e4),e4) = e4 )
=> op(op(e4,e4),e4) = e4 ),
inference(negate,[],[subgoal_24]) ).
fof(normalize_24_0,plain,
$false,
inference(canonicalize,[],[negate_24_0]) ).
cnf(refute_24_0,plain,
$false,
inference(canonicalize,[],[normalize_24_0]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : ALG060+1 : TPTP v8.1.0. Released v2.7.0.
% 0.03/0.13 % Command : metis --show proof --show saturation %s
% 0.13/0.33 % Computer : n027.cluster.edu
% 0.13/0.33 % Model : x86_64 x86_64
% 0.13/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.33 % Memory : 8042.1875MB
% 0.13/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.33 % CPULimit : 300
% 0.13/0.33 % WCLimit : 600
% 0.13/0.33 % DateTime : Wed Jun 8 11:43:26 EDT 2022
% 0.13/0.33 % CPUTime :
% 0.13/0.34 %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
% 5.91/6.11 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 5.91/6.11
% 5.91/6.11 % SZS output start CNFRefutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% See solution above
% 6.29/6.54
%------------------------------------------------------------------------------