TSTP Solution File: ALG057+1 by Metis---2.4
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Metis---2.4
% Problem : ALG057+1 : TPTP v8.1.0. Released v2.7.0.
% Transfm : none
% Format : tptp:raw
% Command : metis --show proof --show saturation %s
% Computer : n028.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 17:34:39 EDT 2022
% Result : Theorem 10.51s 10.72s
% Output : CNFRefutation 11.08s
% Verified :
% SZS Type : Refutation
% Derivation depth : 94
% Number of leaves : 1465
% Syntax : Number of formulae : 6856 (2621 unt; 11 def)
% Number of atoms : 28399 (27869 equ)
% Maximal formula atoms : 250 ( 4 avg)
% Number of connectives : 33107 (11564 ~;13921 |;7550 &)
% ( 22 <=>; 50 =>; 0 <=; 0 <~>)
% Maximal formula depth : 101 ( 3 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 14 ( 11 usr; 12 prp; 0-2 aty)
% Number of functors : 7 ( 7 usr; 6 con; 0-2 aty)
% Number of variables : 220 ( 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(e2,e2),op(e2,e2))
& e1 = op(op(e2,op(e2,e2)),op(e2,e2))
& e3 = op(e2,op(e2,e2))
& e4 = op(e2,e2) ) ).
fof(co1,conjecture,
~ ( ( ( op(e0,op(e0,e0)) != e0
& op(e0,op(e0,e0)) = e0 )
| ( op(e1,op(e1,e0)) != e0
& op(e0,op(e1,e0)) = e1 )
| ( op(e2,op(e2,e0)) != e0
& op(e0,op(e2,e0)) = e2 )
| ( op(e3,op(e3,e0)) != e0
& op(e0,op(e3,e0)) = e3 )
| ( op(e4,op(e4,e0)) != e0
& op(e0,op(e4,e0)) = e4 ) )
& ( ( op(e0,op(e0,e1)) != e1
& op(e1,op(e0,e1)) = e0 )
| ( op(e1,op(e1,e1)) != e1
& op(e1,op(e1,e1)) = e1 )
| ( op(e2,op(e2,e1)) != e1
& op(e1,op(e2,e1)) = e2 )
| ( op(e3,op(e3,e1)) != e1
& op(e1,op(e3,e1)) = e3 )
| ( op(e4,op(e4,e1)) != e1
& op(e1,op(e4,e1)) = e4 ) )
& ( ( op(e0,op(e0,e2)) != e2
& op(e2,op(e0,e2)) = e0 )
| ( op(e1,op(e1,e2)) != e2
& op(e2,op(e1,e2)) = e1 )
| ( op(e2,op(e2,e2)) != e2
& op(e2,op(e2,e2)) = e2 )
| ( op(e3,op(e3,e2)) != e2
& op(e2,op(e3,e2)) = e3 )
| ( op(e4,op(e4,e2)) != e2
& op(e2,op(e4,e2)) = e4 ) )
& ( ( op(e0,op(e0,e3)) != e3
& op(e3,op(e0,e3)) = e0 )
| ( op(e1,op(e1,e3)) != e3
& op(e3,op(e1,e3)) = e1 )
| ( op(e2,op(e2,e3)) != e3
& op(e3,op(e2,e3)) = e2 )
| ( op(e3,op(e3,e3)) != e3
& op(e3,op(e3,e3)) = e3 )
| ( op(e4,op(e4,e3)) != e3
& op(e3,op(e4,e3)) = e4 ) )
& ( ( op(e0,op(e0,e4)) != e4
& op(e4,op(e0,e4)) = e0 )
| ( op(e1,op(e1,e4)) != e4
& op(e4,op(e1,e4)) = e1 )
| ( op(e2,op(e2,e4)) != e4
& op(e4,op(e2,e4)) = e2 )
| ( op(e3,op(e3,e4)) != e4
& op(e4,op(e3,e4)) = e3 )
| ( op(e4,op(e4,e4)) != e4
& op(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_16
<=> ( op(e0,op(e0,e2)) != e2
& op(e2,op(e0,e2)) = e0 ) ) ).
fof(definition_1,definition,
( definitionFOFtoCNF_19
<=> ( op(e1,op(e1,e0)) != e0
& op(e0,op(e1,e0)) = e1 ) ) ).
fof(definition_2,definition,
( definitionFOFtoCNF_54
<=> ( op(e1,op(e1,e0)) != e0
& op(e0,op(e1,e0)) = e1 ) ) ).
fof(definition_3,definition,
( definitionFOFtoCNF_65
<=> ( op(e0,op(e0,e1)) != e1
& op(e1,op(e0,e1)) = e0 ) ) ).
fof(definition_4,definition,
( definitionFOFtoCNF_7
<=> ( op(e0,op(e0,e3)) != e3
& op(e3,op(e0,e3)) = e0 ) ) ).
fof(definition_5,definition,
( definitionFOFtoCNF_8
<=> ( op(e0,op(e0,e4)) != e4
& op(e4,op(e0,e4)) = e0 ) ) ).
fof(definition_6,definition,
( definitionFOFtoCNF_86
<=> ( op(e0,op(e0,e2)) != e2
& op(e2,op(e0,e2)) = e0 ) ) ).
fof(definition_7,definition,
( definitionFOFtoCNF_87
<=> ( op(e0,op(e0,e3)) != e3
& op(e3,op(e0,e3)) = e0 ) ) ).
fof(definition_8,definition,
( definitionFOFtoCNF_96
<=> ( op(e0,op(e0,e2)) != e2
& op(e2,op(e0,e2)) = e0 ) ) ).
fof(definition_9,definition,
( definitionFOFtoCNF_98
<=> ( op(e0,op(e0,e4)) != e4
& op(e4,op(e0,e4)) = e0 ) ) ).
fof(definition_10,definition,
( definitionFOFtoCNF_99
<=> ( op(e1,op(e1,e0)) != e0
& op(e0,op(e1,e0)) = e1 ) ) ).
fof(subgoal_0,plain,
( ( ( ( op(e0,op(e0,e0)) != e0
& op(e0,op(e0,e0)) = e0 )
| ( op(e1,op(e1,e0)) != e0
& op(e0,op(e1,e0)) = e1 )
| ( op(e2,op(e2,e0)) != e0
& op(e0,op(e2,e0)) = e2 )
| ( op(e3,op(e3,e0)) != e0
& op(e0,op(e3,e0)) = e3 )
| ( op(e4,op(e4,e0)) != e0
& op(e0,op(e4,e0)) = e4 ) )
& ( ( op(e0,op(e0,e1)) != e1
& op(e1,op(e0,e1)) = e0 )
| ( op(e1,op(e1,e1)) != e1
& op(e1,op(e1,e1)) = e1 )
| ( op(e2,op(e2,e1)) != e1
& op(e1,op(e2,e1)) = e2 )
| ( op(e3,op(e3,e1)) != e1
& op(e1,op(e3,e1)) = e3 )
| ( op(e4,op(e4,e1)) != e1
& op(e1,op(e4,e1)) = e4 ) )
& ( ( op(e0,op(e0,e2)) != e2
& op(e2,op(e0,e2)) = e0 )
| ( op(e1,op(e1,e2)) != e2
& op(e2,op(e1,e2)) = e1 )
| ( op(e2,op(e2,e2)) != e2
& op(e2,op(e2,e2)) = e2 )
| ( op(e3,op(e3,e2)) != e2
& op(e2,op(e3,e2)) = e3 )
| ( op(e4,op(e4,e2)) != e2
& op(e2,op(e4,e2)) = e4 ) )
& ( ( op(e0,op(e0,e3)) != e3
& op(e3,op(e0,e3)) = e0 )
| ( op(e1,op(e1,e3)) != e3
& op(e3,op(e1,e3)) = e1 )
| ( op(e2,op(e2,e3)) != e3
& op(e3,op(e2,e3)) = e2 )
| ( op(e3,op(e3,e3)) != e3
& op(e3,op(e3,e3)) = e3 )
| ( op(e4,op(e4,e3)) != e3
& op(e3,op(e4,e3)) = e4 ) )
& ( ( op(e0,op(e0,e4)) != e4
& op(e4,op(e0,e4)) = e0 )
| ( op(e1,op(e1,e4)) != e4
& op(e4,op(e1,e4)) = e1 )
| ( op(e2,op(e2,e4)) != e4
& op(e4,op(e2,e4)) = e2 )
| ( op(e3,op(e3,e4)) != e4
& op(e4,op(e3,e4)) = e3 )
| ( op(e4,op(e4,e4)) != e4
& op(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,op(e0,e0)) != e0
& op(e0,op(e0,e0)) = e0 )
| ( op(e1,op(e1,e0)) != e0
& op(e0,op(e1,e0)) = e1 )
| ( op(e2,op(e2,e0)) != e0
& op(e0,op(e2,e0)) = e2 )
| ( op(e3,op(e3,e0)) != e0
& op(e0,op(e3,e0)) = e3 )
| ( op(e4,op(e4,e0)) != e0
& op(e0,op(e4,e0)) = e4 ) )
& ( ( op(e0,op(e0,e1)) != e1
& op(e1,op(e0,e1)) = e0 )
| ( op(e1,op(e1,e1)) != e1
& op(e1,op(e1,e1)) = e1 )
| ( op(e2,op(e2,e1)) != e1
& op(e1,op(e2,e1)) = e2 )
| ( op(e3,op(e3,e1)) != e1
& op(e1,op(e3,e1)) = e3 )
| ( op(e4,op(e4,e1)) != e1
& op(e1,op(e4,e1)) = e4 ) )
& ( ( op(e0,op(e0,e2)) != e2
& op(e2,op(e0,e2)) = e0 )
| ( op(e1,op(e1,e2)) != e2
& op(e2,op(e1,e2)) = e1 )
| ( op(e2,op(e2,e2)) != e2
& op(e2,op(e2,e2)) = e2 )
| ( op(e3,op(e3,e2)) != e2
& op(e2,op(e3,e2)) = e3 )
| ( op(e4,op(e4,e2)) != e2
& op(e2,op(e4,e2)) = e4 ) )
& ( ( op(e0,op(e0,e3)) != e3
& op(e3,op(e0,e3)) = e0 )
| ( op(e1,op(e1,e3)) != e3
& op(e3,op(e1,e3)) = e1 )
| ( op(e2,op(e2,e3)) != e3
& op(e3,op(e2,e3)) = e2 )
| ( op(e3,op(e3,e3)) != e3
& op(e3,op(e3,e3)) = e3 )
| ( op(e4,op(e4,e3)) != e3
& op(e3,op(e4,e3)) = e4 ) )
& ( ( op(e0,op(e0,e4)) != e4
& op(e4,op(e0,e4)) = e0 )
| ( op(e1,op(e1,e4)) != e4
& op(e4,op(e1,e4)) = e1 )
| ( op(e2,op(e2,e4)) != e4
& op(e4,op(e2,e4)) = e2 )
| ( op(e3,op(e3,e4)) != e4
& op(e4,op(e3,e4)) = e3 )
| ( op(e4,op(e4,e4)) != e4
& op(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,op(e0,e0)) != e0
& op(e0,op(e0,e0)) = e0 )
| ( op(e1,op(e1,e0)) != e0
& op(e0,op(e1,e0)) = e1 )
| ( op(e2,op(e2,e0)) != e0
& op(e0,op(e2,e0)) = e2 )
| ( op(e3,op(e3,e0)) != e0
& op(e0,op(e3,e0)) = e3 )
| ( op(e4,op(e4,e0)) != e0
& op(e0,op(e4,e0)) = e4 ) )
& ( ( op(e0,op(e0,e1)) != e1
& op(e1,op(e0,e1)) = e0 )
| ( op(e1,op(e1,e1)) != e1
& op(e1,op(e1,e1)) = e1 )
| ( op(e2,op(e2,e1)) != e1
& op(e1,op(e2,e1)) = e2 )
| ( op(e3,op(e3,e1)) != e1
& op(e1,op(e3,e1)) = e3 )
| ( op(e4,op(e4,e1)) != e1
& op(e1,op(e4,e1)) = e4 ) )
& ( ( op(e0,op(e0,e2)) != e2
& op(e2,op(e0,e2)) = e0 )
| ( op(e1,op(e1,e2)) != e2
& op(e2,op(e1,e2)) = e1 )
| ( op(e2,op(e2,e2)) != e2
& op(e2,op(e2,e2)) = e2 )
| ( op(e3,op(e3,e2)) != e2
& op(e2,op(e3,e2)) = e3 )
| ( op(e4,op(e4,e2)) != e2
& op(e2,op(e4,e2)) = e4 ) )
& ( ( op(e0,op(e0,e3)) != e3
& op(e3,op(e0,e3)) = e0 )
| ( op(e1,op(e1,e3)) != e3
& op(e3,op(e1,e3)) = e1 )
| ( op(e2,op(e2,e3)) != e3
& op(e3,op(e2,e3)) = e2 )
| ( op(e3,op(e3,e3)) != e3
& op(e3,op(e3,e3)) = e3 )
| ( op(e4,op(e4,e3)) != e3
& op(e3,op(e4,e3)) = e4 ) )
& ( ( op(e0,op(e0,e4)) != e4
& op(e4,op(e0,e4)) = e0 )
| ( op(e1,op(e1,e4)) != e4
& op(e4,op(e1,e4)) = e1 )
| ( op(e2,op(e2,e4)) != e4
& op(e4,op(e2,e4)) = e2 )
| ( op(e3,op(e3,e4)) != e4
& op(e4,op(e3,e4)) = e3 )
| ( op(e4,op(e4,e4)) != e4
& op(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,op(e0,e0)) != e0
& op(e0,op(e0,e0)) = e0 )
| ( op(e1,op(e1,e0)) != e0
& op(e0,op(e1,e0)) = e1 )
| ( op(e2,op(e2,e0)) != e0
& op(e0,op(e2,e0)) = e2 )
| ( op(e3,op(e3,e0)) != e0
& op(e0,op(e3,e0)) = e3 )
| ( op(e4,op(e4,e0)) != e0
& op(e0,op(e4,e0)) = e4 ) )
& ( ( op(e0,op(e0,e1)) != e1
& op(e1,op(e0,e1)) = e0 )
| ( op(e1,op(e1,e1)) != e1
& op(e1,op(e1,e1)) = e1 )
| ( op(e2,op(e2,e1)) != e1
& op(e1,op(e2,e1)) = e2 )
| ( op(e3,op(e3,e1)) != e1
& op(e1,op(e3,e1)) = e3 )
| ( op(e4,op(e4,e1)) != e1
& op(e1,op(e4,e1)) = e4 ) )
& ( ( op(e0,op(e0,e2)) != e2
& op(e2,op(e0,e2)) = e0 )
| ( op(e1,op(e1,e2)) != e2
& op(e2,op(e1,e2)) = e1 )
| ( op(e2,op(e2,e2)) != e2
& op(e2,op(e2,e2)) = e2 )
| ( op(e3,op(e3,e2)) != e2
& op(e2,op(e3,e2)) = e3 )
| ( op(e4,op(e4,e2)) != e2
& op(e2,op(e4,e2)) = e4 ) )
& ( ( op(e0,op(e0,e3)) != e3
& op(e3,op(e0,e3)) = e0 )
| ( op(e1,op(e1,e3)) != e3
& op(e3,op(e1,e3)) = e1 )
| ( op(e2,op(e2,e3)) != e3
& op(e3,op(e2,e3)) = e2 )
| ( op(e3,op(e3,e3)) != e3
& op(e3,op(e3,e3)) = e3 )
| ( op(e4,op(e4,e3)) != e3
& op(e3,op(e4,e3)) = e4 ) )
& ( ( op(e0,op(e0,e4)) != e4
& op(e4,op(e0,e4)) = e0 )
| ( op(e1,op(e1,e4)) != e4
& op(e4,op(e1,e4)) = e1 )
| ( op(e2,op(e2,e4)) != e4
& op(e4,op(e2,e4)) = e2 )
| ( op(e3,op(e3,e4)) != e4
& op(e4,op(e3,e4)) = e3 )
| ( op(e4,op(e4,e4)) != e4
& op(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,op(e0,e0)) != e0
& op(e0,op(e0,e0)) = e0 )
| ( op(e1,op(e1,e0)) != e0
& op(e0,op(e1,e0)) = e1 )
| ( op(e2,op(e2,e0)) != e0
& op(e0,op(e2,e0)) = e2 )
| ( op(e3,op(e3,e0)) != e0
& op(e0,op(e3,e0)) = e3 )
| ( op(e4,op(e4,e0)) != e0
& op(e0,op(e4,e0)) = e4 ) )
& ( ( op(e0,op(e0,e1)) != e1
& op(e1,op(e0,e1)) = e0 )
| ( op(e1,op(e1,e1)) != e1
& op(e1,op(e1,e1)) = e1 )
| ( op(e2,op(e2,e1)) != e1
& op(e1,op(e2,e1)) = e2 )
| ( op(e3,op(e3,e1)) != e1
& op(e1,op(e3,e1)) = e3 )
| ( op(e4,op(e4,e1)) != e1
& op(e1,op(e4,e1)) = e4 ) )
& ( ( op(e0,op(e0,e2)) != e2
& op(e2,op(e0,e2)) = e0 )
| ( op(e1,op(e1,e2)) != e2
& op(e2,op(e1,e2)) = e1 )
| ( op(e2,op(e2,e2)) != e2
& op(e2,op(e2,e2)) = e2 )
| ( op(e3,op(e3,e2)) != e2
& op(e2,op(e3,e2)) = e3 )
| ( op(e4,op(e4,e2)) != e2
& op(e2,op(e4,e2)) = e4 ) )
& ( ( op(e0,op(e0,e3)) != e3
& op(e3,op(e0,e3)) = e0 )
| ( op(e1,op(e1,e3)) != e3
& op(e3,op(e1,e3)) = e1 )
| ( op(e2,op(e2,e3)) != e3
& op(e3,op(e2,e3)) = e2 )
| ( op(e3,op(e3,e3)) != e3
& op(e3,op(e3,e3)) = e3 )
| ( op(e4,op(e4,e3)) != e3
& op(e3,op(e4,e3)) = e4 ) )
& ( ( op(e0,op(e0,e4)) != e4
& op(e4,op(e0,e4)) = e0 )
| ( op(e1,op(e1,e4)) != e4
& op(e4,op(e1,e4)) = e1 )
| ( op(e2,op(e2,e4)) != e4
& op(e4,op(e2,e4)) = e2 )
| ( op(e3,op(e3,e4)) != e4
& op(e4,op(e3,e4)) = e3 )
| ( op(e4,op(e4,e4)) != e4
& op(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,op(e0,e0)) != e0
& op(e0,op(e0,e0)) = e0 )
| ( op(e1,op(e1,e0)) != e0
& op(e0,op(e1,e0)) = e1 )
| ( op(e2,op(e2,e0)) != e0
& op(e0,op(e2,e0)) = e2 )
| ( op(e3,op(e3,e0)) != e0
& op(e0,op(e3,e0)) = e3 )
| ( op(e4,op(e4,e0)) != e0
& op(e0,op(e4,e0)) = e4 ) )
& ( ( op(e0,op(e0,e1)) != e1
& op(e1,op(e0,e1)) = e0 )
| ( op(e1,op(e1,e1)) != e1
& op(e1,op(e1,e1)) = e1 )
| ( op(e2,op(e2,e1)) != e1
& op(e1,op(e2,e1)) = e2 )
| ( op(e3,op(e3,e1)) != e1
& op(e1,op(e3,e1)) = e3 )
| ( op(e4,op(e4,e1)) != e1
& op(e1,op(e4,e1)) = e4 ) )
& ( ( op(e0,op(e0,e2)) != e2
& op(e2,op(e0,e2)) = e0 )
| ( op(e1,op(e1,e2)) != e2
& op(e2,op(e1,e2)) = e1 )
| ( op(e2,op(e2,e2)) != e2
& op(e2,op(e2,e2)) = e2 )
| ( op(e3,op(e3,e2)) != e2
& op(e2,op(e3,e2)) = e3 )
| ( op(e4,op(e4,e2)) != e2
& op(e2,op(e4,e2)) = e4 ) )
& ( ( op(e0,op(e0,e3)) != e3
& op(e3,op(e0,e3)) = e0 )
| ( op(e1,op(e1,e3)) != e3
& op(e3,op(e1,e3)) = e1 )
| ( op(e2,op(e2,e3)) != e3
& op(e3,op(e2,e3)) = e2 )
| ( op(e3,op(e3,e3)) != e3
& op(e3,op(e3,e3)) = e3 )
| ( op(e4,op(e4,e3)) != e3
& op(e3,op(e4,e3)) = e4 ) )
& ( ( op(e0,op(e0,e4)) != e4
& op(e4,op(e0,e4)) = e0 )
| ( op(e1,op(e1,e4)) != e4
& op(e4,op(e1,e4)) = e1 )
| ( op(e2,op(e2,e4)) != e4
& op(e4,op(e2,e4)) = e2 )
| ( op(e3,op(e3,e4)) != e4
& op(e4,op(e3,e4)) = e3 )
| ( op(e4,op(e4,e4)) != e4
& op(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,op(e0,e0)) != e0
& op(e0,op(e0,e0)) = e0 )
| ( op(e1,op(e1,e0)) != e0
& op(e0,op(e1,e0)) = e1 )
| ( op(e2,op(e2,e0)) != e0
& op(e0,op(e2,e0)) = e2 )
| ( op(e3,op(e3,e0)) != e0
& op(e0,op(e3,e0)) = e3 )
| ( op(e4,op(e4,e0)) != e0
& op(e0,op(e4,e0)) = e4 ) )
& ( ( op(e0,op(e0,e1)) != e1
& op(e1,op(e0,e1)) = e0 )
| ( op(e1,op(e1,e1)) != e1
& op(e1,op(e1,e1)) = e1 )
| ( op(e2,op(e2,e1)) != e1
& op(e1,op(e2,e1)) = e2 )
| ( op(e3,op(e3,e1)) != e1
& op(e1,op(e3,e1)) = e3 )
| ( op(e4,op(e4,e1)) != e1
& op(e1,op(e4,e1)) = e4 ) )
& ( ( op(e0,op(e0,e2)) != e2
& op(e2,op(e0,e2)) = e0 )
| ( op(e1,op(e1,e2)) != e2
& op(e2,op(e1,e2)) = e1 )
| ( op(e2,op(e2,e2)) != e2
& op(e2,op(e2,e2)) = e2 )
| ( op(e3,op(e3,e2)) != e2
& op(e2,op(e3,e2)) = e3 )
| ( op(e4,op(e4,e2)) != e2
& op(e2,op(e4,e2)) = e4 ) )
& ( ( op(e0,op(e0,e3)) != e3
& op(e3,op(e0,e3)) = e0 )
| ( op(e1,op(e1,e3)) != e3
& op(e3,op(e1,e3)) = e1 )
| ( op(e2,op(e2,e3)) != e3
& op(e3,op(e2,e3)) = e2 )
| ( op(e3,op(e3,e3)) != e3
& op(e3,op(e3,e3)) = e3 )
| ( op(e4,op(e4,e3)) != e3
& op(e3,op(e4,e3)) = e4 ) )
& ( ( op(e0,op(e0,e4)) != e4
& op(e4,op(e0,e4)) = e0 )
| ( op(e1,op(e1,e4)) != e4
& op(e4,op(e1,e4)) = e1 )
| ( op(e2,op(e2,e4)) != e4
& op(e4,op(e2,e4)) = e2 )
| ( op(e3,op(e3,e4)) != e4
& op(e4,op(e3,e4)) = e3 )
| ( op(e4,op(e4,e4)) != e4
& op(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,op(e0,e0)) != e0
& op(e0,op(e0,e0)) = e0 )
| ( op(e1,op(e1,e0)) != e0
& op(e0,op(e1,e0)) = e1 )
| ( op(e2,op(e2,e0)) != e0
& op(e0,op(e2,e0)) = e2 )
| ( op(e3,op(e3,e0)) != e0
& op(e0,op(e3,e0)) = e3 )
| ( op(e4,op(e4,e0)) != e0
& op(e0,op(e4,e0)) = e4 ) )
& ( ( op(e0,op(e0,e1)) != e1
& op(e1,op(e0,e1)) = e0 )
| ( op(e1,op(e1,e1)) != e1
& op(e1,op(e1,e1)) = e1 )
| ( op(e2,op(e2,e1)) != e1
& op(e1,op(e2,e1)) = e2 )
| ( op(e3,op(e3,e1)) != e1
& op(e1,op(e3,e1)) = e3 )
| ( op(e4,op(e4,e1)) != e1
& op(e1,op(e4,e1)) = e4 ) )
& ( ( op(e0,op(e0,e2)) != e2
& op(e2,op(e0,e2)) = e0 )
| ( op(e1,op(e1,e2)) != e2
& op(e2,op(e1,e2)) = e1 )
| ( op(e2,op(e2,e2)) != e2
& op(e2,op(e2,e2)) = e2 )
| ( op(e3,op(e3,e2)) != e2
& op(e2,op(e3,e2)) = e3 )
| ( op(e4,op(e4,e2)) != e2
& op(e2,op(e4,e2)) = e4 ) )
& ( ( op(e0,op(e0,e3)) != e3
& op(e3,op(e0,e3)) = e0 )
| ( op(e1,op(e1,e3)) != e3
& op(e3,op(e1,e3)) = e1 )
| ( op(e2,op(e2,e3)) != e3
& op(e3,op(e2,e3)) = e2 )
| ( op(e3,op(e3,e3)) != e3
& op(e3,op(e3,e3)) = e3 )
| ( op(e4,op(e4,e3)) != e3
& op(e3,op(e4,e3)) = e4 ) )
& ( ( op(e0,op(e0,e4)) != e4
& op(e4,op(e0,e4)) = e0 )
| ( op(e1,op(e1,e4)) != e4
& op(e4,op(e1,e4)) = e1 )
| ( op(e2,op(e2,e4)) != e4
& op(e4,op(e2,e4)) = e2 )
| ( op(e3,op(e3,e4)) != e4
& op(e4,op(e3,e4)) = e3 )
| ( op(e4,op(e4,e4)) != e4
& op(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,op(e0,e0)) != e0
& op(e0,op(e0,e0)) = e0 )
| ( op(e1,op(e1,e0)) != e0
& op(e0,op(e1,e0)) = e1 )
| ( op(e2,op(e2,e0)) != e0
& op(e0,op(e2,e0)) = e2 )
| ( op(e3,op(e3,e0)) != e0
& op(e0,op(e3,e0)) = e3 )
| ( op(e4,op(e4,e0)) != e0
& op(e0,op(e4,e0)) = e4 ) )
& ( ( op(e0,op(e0,e1)) != e1
& op(e1,op(e0,e1)) = e0 )
| ( op(e1,op(e1,e1)) != e1
& op(e1,op(e1,e1)) = e1 )
| ( op(e2,op(e2,e1)) != e1
& op(e1,op(e2,e1)) = e2 )
| ( op(e3,op(e3,e1)) != e1
& op(e1,op(e3,e1)) = e3 )
| ( op(e4,op(e4,e1)) != e1
& op(e1,op(e4,e1)) = e4 ) )
& ( ( op(e0,op(e0,e2)) != e2
& op(e2,op(e0,e2)) = e0 )
| ( op(e1,op(e1,e2)) != e2
& op(e2,op(e1,e2)) = e1 )
| ( op(e2,op(e2,e2)) != e2
& op(e2,op(e2,e2)) = e2 )
| ( op(e3,op(e3,e2)) != e2
& op(e2,op(e3,e2)) = e3 )
| ( op(e4,op(e4,e2)) != e2
& op(e2,op(e4,e2)) = e4 ) )
& ( ( op(e0,op(e0,e3)) != e3
& op(e3,op(e0,e3)) = e0 )
| ( op(e1,op(e1,e3)) != e3
& op(e3,op(e1,e3)) = e1 )
| ( op(e2,op(e2,e3)) != e3
& op(e3,op(e2,e3)) = e2 )
| ( op(e3,op(e3,e3)) != e3
& op(e3,op(e3,e3)) = e3 )
| ( op(e4,op(e4,e3)) != e3
& op(e3,op(e4,e3)) = e4 ) )
& ( ( op(e0,op(e0,e4)) != e4
& op(e4,op(e0,e4)) = e0 )
| ( op(e1,op(e1,e4)) != e4
& op(e4,op(e1,e4)) = e1 )
| ( op(e2,op(e2,e4)) != e4
& op(e4,op(e2,e4)) = e2 )
| ( op(e3,op(e3,e4)) != e4
& op(e4,op(e3,e4)) = e3 )
| ( op(e4,op(e4,e4)) != e4
& op(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,op(e0,e0)) != e0
& op(e0,op(e0,e0)) = e0 )
| ( op(e1,op(e1,e0)) != e0
& op(e0,op(e1,e0)) = e1 )
| ( op(e2,op(e2,e0)) != e0
& op(e0,op(e2,e0)) = e2 )
| ( op(e3,op(e3,e0)) != e0
& op(e0,op(e3,e0)) = e3 )
| ( op(e4,op(e4,e0)) != e0
& op(e0,op(e4,e0)) = e4 ) )
& ( ( op(e0,op(e0,e1)) != e1
& op(e1,op(e0,e1)) = e0 )
| ( op(e1,op(e1,e1)) != e1
& op(e1,op(e1,e1)) = e1 )
| ( op(e2,op(e2,e1)) != e1
& op(e1,op(e2,e1)) = e2 )
| ( op(e3,op(e3,e1)) != e1
& op(e1,op(e3,e1)) = e3 )
| ( op(e4,op(e4,e1)) != e1
& op(e1,op(e4,e1)) = e4 ) )
& ( ( op(e0,op(e0,e2)) != e2
& op(e2,op(e0,e2)) = e0 )
| ( op(e1,op(e1,e2)) != e2
& op(e2,op(e1,e2)) = e1 )
| ( op(e2,op(e2,e2)) != e2
& op(e2,op(e2,e2)) = e2 )
| ( op(e3,op(e3,e2)) != e2
& op(e2,op(e3,e2)) = e3 )
| ( op(e4,op(e4,e2)) != e2
& op(e2,op(e4,e2)) = e4 ) )
& ( ( op(e0,op(e0,e3)) != e3
& op(e3,op(e0,e3)) = e0 )
| ( op(e1,op(e1,e3)) != e3
& op(e3,op(e1,e3)) = e1 )
| ( op(e2,op(e2,e3)) != e3
& op(e3,op(e2,e3)) = e2 )
| ( op(e3,op(e3,e3)) != e3
& op(e3,op(e3,e3)) = e3 )
| ( op(e4,op(e4,e3)) != e3
& op(e3,op(e4,e3)) = e4 ) )
& ( ( op(e0,op(e0,e4)) != e4
& op(e4,op(e0,e4)) = e0 )
| ( op(e1,op(e1,e4)) != e4
& op(e4,op(e1,e4)) = e1 )
| ( op(e2,op(e2,e4)) != e4
& op(e4,op(e2,e4)) = e2 )
| ( op(e3,op(e3,e4)) != e4
& op(e4,op(e3,e4)) = e3 )
| ( op(e4,op(e4,e4)) != e4
& op(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,op(e0,e0)) != e0
& op(e0,op(e0,e0)) = e0 )
| ( op(e1,op(e1,e0)) != e0
& op(e0,op(e1,e0)) = e1 )
| ( op(e2,op(e2,e0)) != e0
& op(e0,op(e2,e0)) = e2 )
| ( op(e3,op(e3,e0)) != e0
& op(e0,op(e3,e0)) = e3 )
| ( op(e4,op(e4,e0)) != e0
& op(e0,op(e4,e0)) = e4 ) )
& ( ( op(e0,op(e0,e1)) != e1
& op(e1,op(e0,e1)) = e0 )
| ( op(e1,op(e1,e1)) != e1
& op(e1,op(e1,e1)) = e1 )
| ( op(e2,op(e2,e1)) != e1
& op(e1,op(e2,e1)) = e2 )
| ( op(e3,op(e3,e1)) != e1
& op(e1,op(e3,e1)) = e3 )
| ( op(e4,op(e4,e1)) != e1
& op(e1,op(e4,e1)) = e4 ) )
& ( ( op(e0,op(e0,e2)) != e2
& op(e2,op(e0,e2)) = e0 )
| ( op(e1,op(e1,e2)) != e2
& op(e2,op(e1,e2)) = e1 )
| ( op(e2,op(e2,e2)) != e2
& op(e2,op(e2,e2)) = e2 )
| ( op(e3,op(e3,e2)) != e2
& op(e2,op(e3,e2)) = e3 )
| ( op(e4,op(e4,e2)) != e2
& op(e2,op(e4,e2)) = e4 ) )
& ( ( op(e0,op(e0,e3)) != e3
& op(e3,op(e0,e3)) = e0 )
| ( op(e1,op(e1,e3)) != e3
& op(e3,op(e1,e3)) = e1 )
| ( op(e2,op(e2,e3)) != e3
& op(e3,op(e2,e3)) = e2 )
| ( op(e3,op(e3,e3)) != e3
& op(e3,op(e3,e3)) = e3 )
| ( op(e4,op(e4,e3)) != e3
& op(e3,op(e4,e3)) = e4 ) )
& ( ( op(e0,op(e0,e4)) != e4
& op(e4,op(e0,e4)) = e0 )
| ( op(e1,op(e1,e4)) != e4
& op(e4,op(e1,e4)) = e1 )
| ( op(e2,op(e2,e4)) != e4
& op(e4,op(e2,e4)) = e2 )
| ( op(e3,op(e3,e4)) != e4
& op(e4,op(e3,e4)) = e3 )
| ( op(e4,op(e4,e4)) != e4
& op(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,op(e0,e0)) != e0
& op(e0,op(e0,e0)) = e0 )
| ( op(e1,op(e1,e0)) != e0
& op(e0,op(e1,e0)) = e1 )
| ( op(e2,op(e2,e0)) != e0
& op(e0,op(e2,e0)) = e2 )
| ( op(e3,op(e3,e0)) != e0
& op(e0,op(e3,e0)) = e3 )
| ( op(e4,op(e4,e0)) != e0
& op(e0,op(e4,e0)) = e4 ) )
& ( ( op(e0,op(e0,e1)) != e1
& op(e1,op(e0,e1)) = e0 )
| ( op(e1,op(e1,e1)) != e1
& op(e1,op(e1,e1)) = e1 )
| ( op(e2,op(e2,e1)) != e1
& op(e1,op(e2,e1)) = e2 )
| ( op(e3,op(e3,e1)) != e1
& op(e1,op(e3,e1)) = e3 )
| ( op(e4,op(e4,e1)) != e1
& op(e1,op(e4,e1)) = e4 ) )
& ( ( op(e0,op(e0,e2)) != e2
& op(e2,op(e0,e2)) = e0 )
| ( op(e1,op(e1,e2)) != e2
& op(e2,op(e1,e2)) = e1 )
| ( op(e2,op(e2,e2)) != e2
& op(e2,op(e2,e2)) = e2 )
| ( op(e3,op(e3,e2)) != e2
& op(e2,op(e3,e2)) = e3 )
| ( op(e4,op(e4,e2)) != e2
& op(e2,op(e4,e2)) = e4 ) )
& ( ( op(e0,op(e0,e3)) != e3
& op(e3,op(e0,e3)) = e0 )
| ( op(e1,op(e1,e3)) != e3
& op(e3,op(e1,e3)) = e1 )
| ( op(e2,op(e2,e3)) != e3
& op(e3,op(e2,e3)) = e2 )
| ( op(e3,op(e3,e3)) != e3
& op(e3,op(e3,e3)) = e3 )
| ( op(e4,op(e4,e3)) != e3
& op(e3,op(e4,e3)) = e4 ) )
& ( ( op(e0,op(e0,e4)) != e4
& op(e4,op(e0,e4)) = e0 )
| ( op(e1,op(e1,e4)) != e4
& op(e4,op(e1,e4)) = e1 )
| ( op(e2,op(e2,e4)) != e4
& op(e4,op(e2,e4)) = e2 )
| ( op(e3,op(e3,e4)) != e4
& op(e4,op(e3,e4)) = e3 )
| ( op(e4,op(e4,e4)) != e4
& op(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,op(e0,e0)) != e0
& op(e0,op(e0,e0)) = e0 )
| ( op(e1,op(e1,e0)) != e0
& op(e0,op(e1,e0)) = e1 )
| ( op(e2,op(e2,e0)) != e0
& op(e0,op(e2,e0)) = e2 )
| ( op(e3,op(e3,e0)) != e0
& op(e0,op(e3,e0)) = e3 )
| ( op(e4,op(e4,e0)) != e0
& op(e0,op(e4,e0)) = e4 ) )
& ( ( op(e0,op(e0,e1)) != e1
& op(e1,op(e0,e1)) = e0 )
| ( op(e1,op(e1,e1)) != e1
& op(e1,op(e1,e1)) = e1 )
| ( op(e2,op(e2,e1)) != e1
& op(e1,op(e2,e1)) = e2 )
| ( op(e3,op(e3,e1)) != e1
& op(e1,op(e3,e1)) = e3 )
| ( op(e4,op(e4,e1)) != e1
& op(e1,op(e4,e1)) = e4 ) )
& ( ( op(e0,op(e0,e2)) != e2
& op(e2,op(e0,e2)) = e0 )
| ( op(e1,op(e1,e2)) != e2
& op(e2,op(e1,e2)) = e1 )
| ( op(e2,op(e2,e2)) != e2
& op(e2,op(e2,e2)) = e2 )
| ( op(e3,op(e3,e2)) != e2
& op(e2,op(e3,e2)) = e3 )
| ( op(e4,op(e4,e2)) != e2
& op(e2,op(e4,e2)) = e4 ) )
& ( ( op(e0,op(e0,e3)) != e3
& op(e3,op(e0,e3)) = e0 )
| ( op(e1,op(e1,e3)) != e3
& op(e3,op(e1,e3)) = e1 )
| ( op(e2,op(e2,e3)) != e3
& op(e3,op(e2,e3)) = e2 )
| ( op(e3,op(e3,e3)) != e3
& op(e3,op(e3,e3)) = e3 )
| ( op(e4,op(e4,e3)) != e3
& op(e3,op(e4,e3)) = e4 ) )
& ( ( op(e0,op(e0,e4)) != e4
& op(e4,op(e0,e4)) = e0 )
| ( op(e1,op(e1,e4)) != e4
& op(e4,op(e1,e4)) = e1 )
| ( op(e2,op(e2,e4)) != e4
& op(e4,op(e2,e4)) = e2 )
| ( op(e3,op(e3,e4)) != e4
& op(e4,op(e3,e4)) = e3 )
| ( op(e4,op(e4,e4)) != e4
& op(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,op(e0,e0)) != e0
& op(e0,op(e0,e0)) = e0 )
| ( op(e1,op(e1,e0)) != e0
& op(e0,op(e1,e0)) = e1 )
| ( op(e2,op(e2,e0)) != e0
& op(e0,op(e2,e0)) = e2 )
| ( op(e3,op(e3,e0)) != e0
& op(e0,op(e3,e0)) = e3 )
| ( op(e4,op(e4,e0)) != e0
& op(e0,op(e4,e0)) = e4 ) )
& ( ( op(e0,op(e0,e1)) != e1
& op(e1,op(e0,e1)) = e0 )
| ( op(e1,op(e1,e1)) != e1
& op(e1,op(e1,e1)) = e1 )
| ( op(e2,op(e2,e1)) != e1
& op(e1,op(e2,e1)) = e2 )
| ( op(e3,op(e3,e1)) != e1
& op(e1,op(e3,e1)) = e3 )
| ( op(e4,op(e4,e1)) != e1
& op(e1,op(e4,e1)) = e4 ) )
& ( ( op(e0,op(e0,e2)) != e2
& op(e2,op(e0,e2)) = e0 )
| ( op(e1,op(e1,e2)) != e2
& op(e2,op(e1,e2)) = e1 )
| ( op(e2,op(e2,e2)) != e2
& op(e2,op(e2,e2)) = e2 )
| ( op(e3,op(e3,e2)) != e2
& op(e2,op(e3,e2)) = e3 )
| ( op(e4,op(e4,e2)) != e2
& op(e2,op(e4,e2)) = e4 ) )
& ( ( op(e0,op(e0,e3)) != e3
& op(e3,op(e0,e3)) = e0 )
| ( op(e1,op(e1,e3)) != e3
& op(e3,op(e1,e3)) = e1 )
| ( op(e2,op(e2,e3)) != e3
& op(e3,op(e2,e3)) = e2 )
| ( op(e3,op(e3,e3)) != e3
& op(e3,op(e3,e3)) = e3 )
| ( op(e4,op(e4,e3)) != e3
& op(e3,op(e4,e3)) = e4 ) )
& ( ( op(e0,op(e0,e4)) != e4
& op(e4,op(e0,e4)) = e0 )
| ( op(e1,op(e1,e4)) != e4
& op(e4,op(e1,e4)) = e1 )
| ( op(e2,op(e2,e4)) != e4
& op(e4,op(e2,e4)) = e2 )
| ( op(e3,op(e3,e4)) != e4
& op(e4,op(e3,e4)) = e3 )
| ( op(e4,op(e4,e4)) != e4
& op(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,op(e0,e0)) != e0
& op(e0,op(e0,e0)) = e0 )
| ( op(e1,op(e1,e0)) != e0
& op(e0,op(e1,e0)) = e1 )
| ( op(e2,op(e2,e0)) != e0
& op(e0,op(e2,e0)) = e2 )
| ( op(e3,op(e3,e0)) != e0
& op(e0,op(e3,e0)) = e3 )
| ( op(e4,op(e4,e0)) != e0
& op(e0,op(e4,e0)) = e4 ) )
& ( ( op(e0,op(e0,e1)) != e1
& op(e1,op(e0,e1)) = e0 )
| ( op(e1,op(e1,e1)) != e1
& op(e1,op(e1,e1)) = e1 )
| ( op(e2,op(e2,e1)) != e1
& op(e1,op(e2,e1)) = e2 )
| ( op(e3,op(e3,e1)) != e1
& op(e1,op(e3,e1)) = e3 )
| ( op(e4,op(e4,e1)) != e1
& op(e1,op(e4,e1)) = e4 ) )
& ( ( op(e0,op(e0,e2)) != e2
& op(e2,op(e0,e2)) = e0 )
| ( op(e1,op(e1,e2)) != e2
& op(e2,op(e1,e2)) = e1 )
| ( op(e2,op(e2,e2)) != e2
& op(e2,op(e2,e2)) = e2 )
| ( op(e3,op(e3,e2)) != e2
& op(e2,op(e3,e2)) = e3 )
| ( op(e4,op(e4,e2)) != e2
& op(e2,op(e4,e2)) = e4 ) )
& ( ( op(e0,op(e0,e3)) != e3
& op(e3,op(e0,e3)) = e0 )
| ( op(e1,op(e1,e3)) != e3
& op(e3,op(e1,e3)) = e1 )
| ( op(e2,op(e2,e3)) != e3
& op(e3,op(e2,e3)) = e2 )
| ( op(e3,op(e3,e3)) != e3
& op(e3,op(e3,e3)) = e3 )
| ( op(e4,op(e4,e3)) != e3
& op(e3,op(e4,e3)) = e4 ) )
& ( ( op(e0,op(e0,e4)) != e4
& op(e4,op(e0,e4)) = e0 )
| ( op(e1,op(e1,e4)) != e4
& op(e4,op(e1,e4)) = e1 )
| ( op(e2,op(e2,e4)) != e4
& op(e4,op(e2,e4)) = e2 )
| ( op(e3,op(e3,e4)) != e4
& op(e4,op(e3,e4)) = e3 )
| ( op(e4,op(e4,e4)) != e4
& op(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,op(e0,e0)) != e0
& op(e0,op(e0,e0)) = e0 )
| ( op(e1,op(e1,e0)) != e0
& op(e0,op(e1,e0)) = e1 )
| ( op(e2,op(e2,e0)) != e0
& op(e0,op(e2,e0)) = e2 )
| ( op(e3,op(e3,e0)) != e0
& op(e0,op(e3,e0)) = e3 )
| ( op(e4,op(e4,e0)) != e0
& op(e0,op(e4,e0)) = e4 ) )
& ( ( op(e0,op(e0,e1)) != e1
& op(e1,op(e0,e1)) = e0 )
| ( op(e1,op(e1,e1)) != e1
& op(e1,op(e1,e1)) = e1 )
| ( op(e2,op(e2,e1)) != e1
& op(e1,op(e2,e1)) = e2 )
| ( op(e3,op(e3,e1)) != e1
& op(e1,op(e3,e1)) = e3 )
| ( op(e4,op(e4,e1)) != e1
& op(e1,op(e4,e1)) = e4 ) )
& ( ( op(e0,op(e0,e2)) != e2
& op(e2,op(e0,e2)) = e0 )
| ( op(e1,op(e1,e2)) != e2
& op(e2,op(e1,e2)) = e1 )
| ( op(e2,op(e2,e2)) != e2
& op(e2,op(e2,e2)) = e2 )
| ( op(e3,op(e3,e2)) != e2
& op(e2,op(e3,e2)) = e3 )
| ( op(e4,op(e4,e2)) != e2
& op(e2,op(e4,e2)) = e4 ) )
& ( ( op(e0,op(e0,e3)) != e3
& op(e3,op(e0,e3)) = e0 )
| ( op(e1,op(e1,e3)) != e3
& op(e3,op(e1,e3)) = e1 )
| ( op(e2,op(e2,e3)) != e3
& op(e3,op(e2,e3)) = e2 )
| ( op(e3,op(e3,e3)) != e3
& op(e3,op(e3,e3)) = e3 )
| ( op(e4,op(e4,e3)) != e3
& op(e3,op(e4,e3)) = e4 ) )
& ( ( op(e0,op(e0,e4)) != e4
& op(e4,op(e0,e4)) = e0 )
| ( op(e1,op(e1,e4)) != e4
& op(e4,op(e1,e4)) = e1 )
| ( op(e2,op(e2,e4)) != e4
& op(e4,op(e2,e4)) = e2 )
| ( op(e3,op(e3,e4)) != e4
& op(e4,op(e3,e4)) = e3 )
| ( op(e4,op(e4,e4)) != e4
& op(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,op(e0,e0)) != e0
& op(e0,op(e0,e0)) = e0 )
| ( op(e1,op(e1,e0)) != e0
& op(e0,op(e1,e0)) = e1 )
| ( op(e2,op(e2,e0)) != e0
& op(e0,op(e2,e0)) = e2 )
| ( op(e3,op(e3,e0)) != e0
& op(e0,op(e3,e0)) = e3 )
| ( op(e4,op(e4,e0)) != e0
& op(e0,op(e4,e0)) = e4 ) )
& ( ( op(e0,op(e0,e1)) != e1
& op(e1,op(e0,e1)) = e0 )
| ( op(e1,op(e1,e1)) != e1
& op(e1,op(e1,e1)) = e1 )
| ( op(e2,op(e2,e1)) != e1
& op(e1,op(e2,e1)) = e2 )
| ( op(e3,op(e3,e1)) != e1
& op(e1,op(e3,e1)) = e3 )
| ( op(e4,op(e4,e1)) != e1
& op(e1,op(e4,e1)) = e4 ) )
& ( ( op(e0,op(e0,e2)) != e2
& op(e2,op(e0,e2)) = e0 )
| ( op(e1,op(e1,e2)) != e2
& op(e2,op(e1,e2)) = e1 )
| ( op(e2,op(e2,e2)) != e2
& op(e2,op(e2,e2)) = e2 )
| ( op(e3,op(e3,e2)) != e2
& op(e2,op(e3,e2)) = e3 )
| ( op(e4,op(e4,e2)) != e2
& op(e2,op(e4,e2)) = e4 ) )
& ( ( op(e0,op(e0,e3)) != e3
& op(e3,op(e0,e3)) = e0 )
| ( op(e1,op(e1,e3)) != e3
& op(e3,op(e1,e3)) = e1 )
| ( op(e2,op(e2,e3)) != e3
& op(e3,op(e2,e3)) = e2 )
| ( op(e3,op(e3,e3)) != e3
& op(e3,op(e3,e3)) = e3 )
| ( op(e4,op(e4,e3)) != e3
& op(e3,op(e4,e3)) = e4 ) )
& ( ( op(e0,op(e0,e4)) != e4
& op(e4,op(e0,e4)) = e0 )
| ( op(e1,op(e1,e4)) != e4
& op(e4,op(e1,e4)) = e1 )
| ( op(e2,op(e2,e4)) != e4
& op(e4,op(e2,e4)) = e2 )
| ( op(e3,op(e3,e4)) != e4
& op(e4,op(e3,e4)) = e3 )
| ( op(e4,op(e4,e4)) != e4
& op(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,op(e0,e0)) != e0
& op(e0,op(e0,e0)) = e0 )
| ( op(e1,op(e1,e0)) != e0
& op(e0,op(e1,e0)) = e1 )
| ( op(e2,op(e2,e0)) != e0
& op(e0,op(e2,e0)) = e2 )
| ( op(e3,op(e3,e0)) != e0
& op(e0,op(e3,e0)) = e3 )
| ( op(e4,op(e4,e0)) != e0
& op(e0,op(e4,e0)) = e4 ) )
& ( ( op(e0,op(e0,e1)) != e1
& op(e1,op(e0,e1)) = e0 )
| ( op(e1,op(e1,e1)) != e1
& op(e1,op(e1,e1)) = e1 )
| ( op(e2,op(e2,e1)) != e1
& op(e1,op(e2,e1)) = e2 )
| ( op(e3,op(e3,e1)) != e1
& op(e1,op(e3,e1)) = e3 )
| ( op(e4,op(e4,e1)) != e1
& op(e1,op(e4,e1)) = e4 ) )
& ( ( op(e0,op(e0,e2)) != e2
& op(e2,op(e0,e2)) = e0 )
| ( op(e1,op(e1,e2)) != e2
& op(e2,op(e1,e2)) = e1 )
| ( op(e2,op(e2,e2)) != e2
& op(e2,op(e2,e2)) = e2 )
| ( op(e3,op(e3,e2)) != e2
& op(e2,op(e3,e2)) = e3 )
| ( op(e4,op(e4,e2)) != e2
& op(e2,op(e4,e2)) = e4 ) )
& ( ( op(e0,op(e0,e3)) != e3
& op(e3,op(e0,e3)) = e0 )
| ( op(e1,op(e1,e3)) != e3
& op(e3,op(e1,e3)) = e1 )
| ( op(e2,op(e2,e3)) != e3
& op(e3,op(e2,e3)) = e2 )
| ( op(e3,op(e3,e3)) != e3
& op(e3,op(e3,e3)) = e3 )
| ( op(e4,op(e4,e3)) != e3
& op(e3,op(e4,e3)) = e4 ) )
& ( ( op(e0,op(e0,e4)) != e4
& op(e4,op(e0,e4)) = e0 )
| ( op(e1,op(e1,e4)) != e4
& op(e4,op(e1,e4)) = e1 )
| ( op(e2,op(e2,e4)) != e4
& op(e4,op(e2,e4)) = e2 )
| ( op(e3,op(e3,e4)) != e4
& op(e4,op(e3,e4)) = e3 )
| ( op(e4,op(e4,e4)) != e4
& op(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,op(e0,e0)) != e0
& op(e0,op(e0,e0)) = e0 )
| ( op(e1,op(e1,e0)) != e0
& op(e0,op(e1,e0)) = e1 )
| ( op(e2,op(e2,e0)) != e0
& op(e0,op(e2,e0)) = e2 )
| ( op(e3,op(e3,e0)) != e0
& op(e0,op(e3,e0)) = e3 )
| ( op(e4,op(e4,e0)) != e0
& op(e0,op(e4,e0)) = e4 ) )
& ( ( op(e0,op(e0,e1)) != e1
& op(e1,op(e0,e1)) = e0 )
| ( op(e1,op(e1,e1)) != e1
& op(e1,op(e1,e1)) = e1 )
| ( op(e2,op(e2,e1)) != e1
& op(e1,op(e2,e1)) = e2 )
| ( op(e3,op(e3,e1)) != e1
& op(e1,op(e3,e1)) = e3 )
| ( op(e4,op(e4,e1)) != e1
& op(e1,op(e4,e1)) = e4 ) )
& ( ( op(e0,op(e0,e2)) != e2
& op(e2,op(e0,e2)) = e0 )
| ( op(e1,op(e1,e2)) != e2
& op(e2,op(e1,e2)) = e1 )
| ( op(e2,op(e2,e2)) != e2
& op(e2,op(e2,e2)) = e2 )
| ( op(e3,op(e3,e2)) != e2
& op(e2,op(e3,e2)) = e3 )
| ( op(e4,op(e4,e2)) != e2
& op(e2,op(e4,e2)) = e4 ) )
& ( ( op(e0,op(e0,e3)) != e3
& op(e3,op(e0,e3)) = e0 )
| ( op(e1,op(e1,e3)) != e3
& op(e3,op(e1,e3)) = e1 )
| ( op(e2,op(e2,e3)) != e3
& op(e3,op(e2,e3)) = e2 )
| ( op(e3,op(e3,e3)) != e3
& op(e3,op(e3,e3)) = e3 )
| ( op(e4,op(e4,e3)) != e3
& op(e3,op(e4,e3)) = e4 ) )
& ( ( op(e0,op(e0,e4)) != e4
& op(e4,op(e0,e4)) = e0 )
| ( op(e1,op(e1,e4)) != e4
& op(e4,op(e1,e4)) = e1 )
| ( op(e2,op(e2,e4)) != e4
& op(e4,op(e2,e4)) = e2 )
| ( op(e3,op(e3,e4)) != e4
& op(e4,op(e3,e4)) = e3 )
| ( op(e4,op(e4,e4)) != e4
& op(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,op(e0,e0)) != e0
& op(e0,op(e0,e0)) = e0 )
| ( op(e1,op(e1,e0)) != e0
& op(e0,op(e1,e0)) = e1 )
| ( op(e2,op(e2,e0)) != e0
& op(e0,op(e2,e0)) = e2 )
| ( op(e3,op(e3,e0)) != e0
& op(e0,op(e3,e0)) = e3 )
| ( op(e4,op(e4,e0)) != e0
& op(e0,op(e4,e0)) = e4 ) )
& ( ( op(e0,op(e0,e1)) != e1
& op(e1,op(e0,e1)) = e0 )
| ( op(e1,op(e1,e1)) != e1
& op(e1,op(e1,e1)) = e1 )
| ( op(e2,op(e2,e1)) != e1
& op(e1,op(e2,e1)) = e2 )
| ( op(e3,op(e3,e1)) != e1
& op(e1,op(e3,e1)) = e3 )
| ( op(e4,op(e4,e1)) != e1
& op(e1,op(e4,e1)) = e4 ) )
& ( ( op(e0,op(e0,e2)) != e2
& op(e2,op(e0,e2)) = e0 )
| ( op(e1,op(e1,e2)) != e2
& op(e2,op(e1,e2)) = e1 )
| ( op(e2,op(e2,e2)) != e2
& op(e2,op(e2,e2)) = e2 )
| ( op(e3,op(e3,e2)) != e2
& op(e2,op(e3,e2)) = e3 )
| ( op(e4,op(e4,e2)) != e2
& op(e2,op(e4,e2)) = e4 ) )
& ( ( op(e0,op(e0,e3)) != e3
& op(e3,op(e0,e3)) = e0 )
| ( op(e1,op(e1,e3)) != e3
& op(e3,op(e1,e3)) = e1 )
| ( op(e2,op(e2,e3)) != e3
& op(e3,op(e2,e3)) = e2 )
| ( op(e3,op(e3,e3)) != e3
& op(e3,op(e3,e3)) = e3 )
| ( op(e4,op(e4,e3)) != e3
& op(e3,op(e4,e3)) = e4 ) )
& ( ( op(e0,op(e0,e4)) != e4
& op(e4,op(e0,e4)) = e0 )
| ( op(e1,op(e1,e4)) != e4
& op(e4,op(e1,e4)) = e1 )
| ( op(e2,op(e2,e4)) != e4
& op(e4,op(e2,e4)) = e2 )
| ( op(e3,op(e3,e4)) != e4
& op(e4,op(e3,e4)) = e3 )
| ( op(e4,op(e4,e4)) != e4
& op(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,op(e0,e0)) != e0
& op(e0,op(e0,e0)) = e0 )
| ( op(e1,op(e1,e0)) != e0
& op(e0,op(e1,e0)) = e1 )
| ( op(e2,op(e2,e0)) != e0
& op(e0,op(e2,e0)) = e2 )
| ( op(e3,op(e3,e0)) != e0
& op(e0,op(e3,e0)) = e3 )
| ( op(e4,op(e4,e0)) != e0
& op(e0,op(e4,e0)) = e4 ) )
& ( ( op(e0,op(e0,e1)) != e1
& op(e1,op(e0,e1)) = e0 )
| ( op(e1,op(e1,e1)) != e1
& op(e1,op(e1,e1)) = e1 )
| ( op(e2,op(e2,e1)) != e1
& op(e1,op(e2,e1)) = e2 )
| ( op(e3,op(e3,e1)) != e1
& op(e1,op(e3,e1)) = e3 )
| ( op(e4,op(e4,e1)) != e1
& op(e1,op(e4,e1)) = e4 ) )
& ( ( op(e0,op(e0,e2)) != e2
& op(e2,op(e0,e2)) = e0 )
| ( op(e1,op(e1,e2)) != e2
& op(e2,op(e1,e2)) = e1 )
| ( op(e2,op(e2,e2)) != e2
& op(e2,op(e2,e2)) = e2 )
| ( op(e3,op(e3,e2)) != e2
& op(e2,op(e3,e2)) = e3 )
| ( op(e4,op(e4,e2)) != e2
& op(e2,op(e4,e2)) = e4 ) )
& ( ( op(e0,op(e0,e3)) != e3
& op(e3,op(e0,e3)) = e0 )
| ( op(e1,op(e1,e3)) != e3
& op(e3,op(e1,e3)) = e1 )
| ( op(e2,op(e2,e3)) != e3
& op(e3,op(e2,e3)) = e2 )
| ( op(e3,op(e3,e3)) != e3
& op(e3,op(e3,e3)) = e3 )
| ( op(e4,op(e4,e3)) != e3
& op(e3,op(e4,e3)) = e4 ) )
& ( ( op(e0,op(e0,e4)) != e4
& op(e4,op(e0,e4)) = e0 )
| ( op(e1,op(e1,e4)) != e4
& op(e4,op(e1,e4)) = e1 )
| ( op(e2,op(e2,e4)) != e4
& op(e4,op(e2,e4)) = e2 )
| ( op(e3,op(e3,e4)) != e4
& op(e4,op(e3,e4)) = e3 )
| ( op(e4,op(e4,e4)) != e4
& op(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,op(e0,e0)) != e0
& op(e0,op(e0,e0)) = e0 )
| ( op(e1,op(e1,e0)) != e0
& op(e0,op(e1,e0)) = e1 )
| ( op(e2,op(e2,e0)) != e0
& op(e0,op(e2,e0)) = e2 )
| ( op(e3,op(e3,e0)) != e0
& op(e0,op(e3,e0)) = e3 )
| ( op(e4,op(e4,e0)) != e0
& op(e0,op(e4,e0)) = e4 ) )
& ( ( op(e0,op(e0,e1)) != e1
& op(e1,op(e0,e1)) = e0 )
| ( op(e1,op(e1,e1)) != e1
& op(e1,op(e1,e1)) = e1 )
| ( op(e2,op(e2,e1)) != e1
& op(e1,op(e2,e1)) = e2 )
| ( op(e3,op(e3,e1)) != e1
& op(e1,op(e3,e1)) = e3 )
| ( op(e4,op(e4,e1)) != e1
& op(e1,op(e4,e1)) = e4 ) )
& ( ( op(e0,op(e0,e2)) != e2
& op(e2,op(e0,e2)) = e0 )
| ( op(e1,op(e1,e2)) != e2
& op(e2,op(e1,e2)) = e1 )
| ( op(e2,op(e2,e2)) != e2
& op(e2,op(e2,e2)) = e2 )
| ( op(e3,op(e3,e2)) != e2
& op(e2,op(e3,e2)) = e3 )
| ( op(e4,op(e4,e2)) != e2
& op(e2,op(e4,e2)) = e4 ) )
& ( ( op(e0,op(e0,e3)) != e3
& op(e3,op(e0,e3)) = e0 )
| ( op(e1,op(e1,e3)) != e3
& op(e3,op(e1,e3)) = e1 )
| ( op(e2,op(e2,e3)) != e3
& op(e3,op(e2,e3)) = e2 )
| ( op(e3,op(e3,e3)) != e3
& op(e3,op(e3,e3)) = e3 )
| ( op(e4,op(e4,e3)) != e3
& op(e3,op(e4,e3)) = e4 ) )
& ( ( op(e0,op(e0,e4)) != e4
& op(e4,op(e0,e4)) = e0 )
| ( op(e1,op(e1,e4)) != e4
& op(e4,op(e1,e4)) = e1 )
| ( op(e2,op(e2,e4)) != e4
& op(e4,op(e2,e4)) = e2 )
| ( op(e3,op(e3,e4)) != e4
& op(e4,op(e3,e4)) = e3 )
| ( op(e4,op(e4,e4)) != e4
& op(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,op(e0,e0)) != e0
& op(e0,op(e0,e0)) = e0 )
| ( op(e1,op(e1,e0)) != e0
& op(e0,op(e1,e0)) = e1 )
| ( op(e2,op(e2,e0)) != e0
& op(e0,op(e2,e0)) = e2 )
| ( op(e3,op(e3,e0)) != e0
& op(e0,op(e3,e0)) = e3 )
| ( op(e4,op(e4,e0)) != e0
& op(e0,op(e4,e0)) = e4 ) )
& ( ( op(e0,op(e0,e1)) != e1
& op(e1,op(e0,e1)) = e0 )
| ( op(e1,op(e1,e1)) != e1
& op(e1,op(e1,e1)) = e1 )
| ( op(e2,op(e2,e1)) != e1
& op(e1,op(e2,e1)) = e2 )
| ( op(e3,op(e3,e1)) != e1
& op(e1,op(e3,e1)) = e3 )
| ( op(e4,op(e4,e1)) != e1
& op(e1,op(e4,e1)) = e4 ) )
& ( ( op(e0,op(e0,e2)) != e2
& op(e2,op(e0,e2)) = e0 )
| ( op(e1,op(e1,e2)) != e2
& op(e2,op(e1,e2)) = e1 )
| ( op(e2,op(e2,e2)) != e2
& op(e2,op(e2,e2)) = e2 )
| ( op(e3,op(e3,e2)) != e2
& op(e2,op(e3,e2)) = e3 )
| ( op(e4,op(e4,e2)) != e2
& op(e2,op(e4,e2)) = e4 ) )
& ( ( op(e0,op(e0,e3)) != e3
& op(e3,op(e0,e3)) = e0 )
| ( op(e1,op(e1,e3)) != e3
& op(e3,op(e1,e3)) = e1 )
| ( op(e2,op(e2,e3)) != e3
& op(e3,op(e2,e3)) = e2 )
| ( op(e3,op(e3,e3)) != e3
& op(e3,op(e3,e3)) = e3 )
| ( op(e4,op(e4,e3)) != e3
& op(e3,op(e4,e3)) = e4 ) )
& ( ( op(e0,op(e0,e4)) != e4
& op(e4,op(e0,e4)) = e0 )
| ( op(e1,op(e1,e4)) != e4
& op(e4,op(e1,e4)) = e1 )
| ( op(e2,op(e2,e4)) != e4
& op(e4,op(e2,e4)) = e2 )
| ( op(e3,op(e3,e4)) != e4
& op(e4,op(e3,e4)) = e3 )
| ( op(e4,op(e4,e4)) != e4
& op(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,op(e0,e0)) != e0
& op(e0,op(e0,e0)) = e0 )
| ( op(e1,op(e1,e0)) != e0
& op(e0,op(e1,e0)) = e1 )
| ( op(e2,op(e2,e0)) != e0
& op(e0,op(e2,e0)) = e2 )
| ( op(e3,op(e3,e0)) != e0
& op(e0,op(e3,e0)) = e3 )
| ( op(e4,op(e4,e0)) != e0
& op(e0,op(e4,e0)) = e4 ) )
& ( ( op(e0,op(e0,e1)) != e1
& op(e1,op(e0,e1)) = e0 )
| ( op(e1,op(e1,e1)) != e1
& op(e1,op(e1,e1)) = e1 )
| ( op(e2,op(e2,e1)) != e1
& op(e1,op(e2,e1)) = e2 )
| ( op(e3,op(e3,e1)) != e1
& op(e1,op(e3,e1)) = e3 )
| ( op(e4,op(e4,e1)) != e1
& op(e1,op(e4,e1)) = e4 ) )
& ( ( op(e0,op(e0,e2)) != e2
& op(e2,op(e0,e2)) = e0 )
| ( op(e1,op(e1,e2)) != e2
& op(e2,op(e1,e2)) = e1 )
| ( op(e2,op(e2,e2)) != e2
& op(e2,op(e2,e2)) = e2 )
| ( op(e3,op(e3,e2)) != e2
& op(e2,op(e3,e2)) = e3 )
| ( op(e4,op(e4,e2)) != e2
& op(e2,op(e4,e2)) = e4 ) )
& ( ( op(e0,op(e0,e3)) != e3
& op(e3,op(e0,e3)) = e0 )
| ( op(e1,op(e1,e3)) != e3
& op(e3,op(e1,e3)) = e1 )
| ( op(e2,op(e2,e3)) != e3
& op(e3,op(e2,e3)) = e2 )
| ( op(e3,op(e3,e3)) != e3
& op(e3,op(e3,e3)) = e3 )
| ( op(e4,op(e4,e3)) != e3
& op(e3,op(e4,e3)) = e4 ) )
& ( ( op(e0,op(e0,e4)) != e4
& op(e4,op(e0,e4)) = e0 )
| ( op(e1,op(e1,e4)) != e4
& op(e4,op(e1,e4)) = e1 )
| ( op(e2,op(e2,e4)) != e4
& op(e4,op(e2,e4)) = e2 )
| ( op(e3,op(e3,e4)) != e4
& op(e4,op(e3,e4)) = e3 )
| ( op(e4,op(e4,e4)) != e4
& op(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,op(e0,e0)) != e0
& op(e0,op(e0,e0)) = e0 )
| ( op(e1,op(e1,e0)) != e0
& op(e0,op(e1,e0)) = e1 )
| ( op(e2,op(e2,e0)) != e0
& op(e0,op(e2,e0)) = e2 )
| ( op(e3,op(e3,e0)) != e0
& op(e0,op(e3,e0)) = e3 )
| ( op(e4,op(e4,e0)) != e0
& op(e0,op(e4,e0)) = e4 ) )
& ( ( op(e0,op(e0,e1)) != e1
& op(e1,op(e0,e1)) = e0 )
| ( op(e1,op(e1,e1)) != e1
& op(e1,op(e1,e1)) = e1 )
| ( op(e2,op(e2,e1)) != e1
& op(e1,op(e2,e1)) = e2 )
| ( op(e3,op(e3,e1)) != e1
& op(e1,op(e3,e1)) = e3 )
| ( op(e4,op(e4,e1)) != e1
& op(e1,op(e4,e1)) = e4 ) )
& ( ( op(e0,op(e0,e2)) != e2
& op(e2,op(e0,e2)) = e0 )
| ( op(e1,op(e1,e2)) != e2
& op(e2,op(e1,e2)) = e1 )
| ( op(e2,op(e2,e2)) != e2
& op(e2,op(e2,e2)) = e2 )
| ( op(e3,op(e3,e2)) != e2
& op(e2,op(e3,e2)) = e3 )
| ( op(e4,op(e4,e2)) != e2
& op(e2,op(e4,e2)) = e4 ) )
& ( ( op(e0,op(e0,e3)) != e3
& op(e3,op(e0,e3)) = e0 )
| ( op(e1,op(e1,e3)) != e3
& op(e3,op(e1,e3)) = e1 )
| ( op(e2,op(e2,e3)) != e3
& op(e3,op(e2,e3)) = e2 )
| ( op(e3,op(e3,e3)) != e3
& op(e3,op(e3,e3)) = e3 )
| ( op(e4,op(e4,e3)) != e3
& op(e3,op(e4,e3)) = e4 ) )
& ( ( op(e0,op(e0,e4)) != e4
& op(e4,op(e0,e4)) = e0 )
| ( op(e1,op(e1,e4)) != e4
& op(e4,op(e1,e4)) = e1 )
| ( op(e2,op(e2,e4)) != e4
& op(e4,op(e2,e4)) = e2 )
| ( op(e3,op(e3,e4)) != e4
& op(e4,op(e3,e4)) = e3 )
| ( op(e4,op(e4,e4)) != e4
& op(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,op(e0,e0)) != e0
& op(e0,op(e0,e0)) = e0 )
| ( op(e1,op(e1,e0)) != e0
& op(e0,op(e1,e0)) = e1 )
| ( op(e2,op(e2,e0)) != e0
& op(e0,op(e2,e0)) = e2 )
| ( op(e3,op(e3,e0)) != e0
& op(e0,op(e3,e0)) = e3 )
| ( op(e4,op(e4,e0)) != e0
& op(e0,op(e4,e0)) = e4 ) )
& ( ( op(e0,op(e0,e1)) != e1
& op(e1,op(e0,e1)) = e0 )
| ( op(e1,op(e1,e1)) != e1
& op(e1,op(e1,e1)) = e1 )
| ( op(e2,op(e2,e1)) != e1
& op(e1,op(e2,e1)) = e2 )
| ( op(e3,op(e3,e1)) != e1
& op(e1,op(e3,e1)) = e3 )
| ( op(e4,op(e4,e1)) != e1
& op(e1,op(e4,e1)) = e4 ) )
& ( ( op(e0,op(e0,e2)) != e2
& op(e2,op(e0,e2)) = e0 )
| ( op(e1,op(e1,e2)) != e2
& op(e2,op(e1,e2)) = e1 )
| ( op(e2,op(e2,e2)) != e2
& op(e2,op(e2,e2)) = e2 )
| ( op(e3,op(e3,e2)) != e2
& op(e2,op(e3,e2)) = e3 )
| ( op(e4,op(e4,e2)) != e2
& op(e2,op(e4,e2)) = e4 ) )
& ( ( op(e0,op(e0,e3)) != e3
& op(e3,op(e0,e3)) = e0 )
| ( op(e1,op(e1,e3)) != e3
& op(e3,op(e1,e3)) = e1 )
| ( op(e2,op(e2,e3)) != e3
& op(e3,op(e2,e3)) = e2 )
| ( op(e3,op(e3,e3)) != e3
& op(e3,op(e3,e3)) = e3 )
| ( op(e4,op(e4,e3)) != e3
& op(e3,op(e4,e3)) = e4 ) )
& ( ( op(e0,op(e0,e4)) != e4
& op(e4,op(e0,e4)) = e0 )
| ( op(e1,op(e1,e4)) != e4
& op(e4,op(e1,e4)) = e1 )
| ( op(e2,op(e2,e4)) != e4
& op(e4,op(e2,e4)) = e2 )
| ( op(e3,op(e3,e4)) != e4
& op(e4,op(e3,e4)) = e3 )
| ( op(e4,op(e4,e4)) != e4
& op(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,op(e0,e0)) != e0
& op(e0,op(e0,e0)) = e0 )
| ( op(e1,op(e1,e0)) != e0
& op(e0,op(e1,e0)) = e1 )
| ( op(e2,op(e2,e0)) != e0
& op(e0,op(e2,e0)) = e2 )
| ( op(e3,op(e3,e0)) != e0
& op(e0,op(e3,e0)) = e3 )
| ( op(e4,op(e4,e0)) != e0
& op(e0,op(e4,e0)) = e4 ) )
& ( ( op(e0,op(e0,e1)) != e1
& op(e1,op(e0,e1)) = e0 )
| ( op(e1,op(e1,e1)) != e1
& op(e1,op(e1,e1)) = e1 )
| ( op(e2,op(e2,e1)) != e1
& op(e1,op(e2,e1)) = e2 )
| ( op(e3,op(e3,e1)) != e1
& op(e1,op(e3,e1)) = e3 )
| ( op(e4,op(e4,e1)) != e1
& op(e1,op(e4,e1)) = e4 ) )
& ( ( op(e0,op(e0,e2)) != e2
& op(e2,op(e0,e2)) = e0 )
| ( op(e1,op(e1,e2)) != e2
& op(e2,op(e1,e2)) = e1 )
| ( op(e2,op(e2,e2)) != e2
& op(e2,op(e2,e2)) = e2 )
| ( op(e3,op(e3,e2)) != e2
& op(e2,op(e3,e2)) = e3 )
| ( op(e4,op(e4,e2)) != e2
& op(e2,op(e4,e2)) = e4 ) )
& ( ( op(e0,op(e0,e3)) != e3
& op(e3,op(e0,e3)) = e0 )
| ( op(e1,op(e1,e3)) != e3
& op(e3,op(e1,e3)) = e1 )
| ( op(e2,op(e2,e3)) != e3
& op(e3,op(e2,e3)) = e2 )
| ( op(e3,op(e3,e3)) != e3
& op(e3,op(e3,e3)) = e3 )
| ( op(e4,op(e4,e3)) != e3
& op(e3,op(e4,e3)) = e4 ) )
& ( ( op(e0,op(e0,e4)) != e4
& op(e4,op(e0,e4)) = e0 )
| ( op(e1,op(e1,e4)) != e4
& op(e4,op(e1,e4)) = e1 )
| ( op(e2,op(e2,e4)) != e4
& op(e4,op(e2,e4)) = e2 )
| ( op(e3,op(e3,e4)) != e4
& op(e4,op(e3,e4)) = e3 )
| ( op(e4,op(e4,e4)) != e4
& op(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(e1,e0) != op(e0,e1)
& op(op(e0,e1),e0) != e1
& op(op(e0,e1),e1) = e0
& ( ( op(e0,op(e0,e1)) != e1
& op(e1,op(e0,e1)) = e0 )
| ( op(e2,op(e2,e1)) != e1
& op(e1,op(e2,e1)) = e2 )
| ( op(e3,op(e3,e1)) != e1
& op(e1,op(e3,e1)) = e3 )
| ( op(e4,op(e4,e1)) != e1
& op(e1,op(e4,e1)) = e4 ) )
& ( ( op(e0,op(e0,e2)) != e2
& op(e2,op(e0,e2)) = e0 )
| ( op(e1,op(e1,e2)) != e2
& op(e2,op(e1,e2)) = e1 )
| ( op(e3,op(e3,e2)) != e2
& op(e2,op(e3,e2)) = e3 )
| ( op(e4,op(e4,e2)) != e2
& op(e2,op(e4,e2)) = e4 ) )
& ( ( op(e0,op(e0,e3)) != e3
& op(e3,op(e0,e3)) = e0 )
| ( op(e1,op(e1,e3)) != e3
& op(e3,op(e1,e3)) = e1 )
| ( op(e2,op(e2,e3)) != e3
& op(e3,op(e2,e3)) = e2 )
| ( op(e4,op(e4,e3)) != e3
& op(e3,op(e4,e3)) = e4 ) )
& ( ( op(e0,op(e0,e4)) != e4
& op(e4,op(e0,e4)) = e0 )
| ( op(e1,op(e1,e4)) != e4
& op(e4,op(e1,e4)) = e1 )
| ( op(e2,op(e2,e4)) != e4
& op(e4,op(e2,e4)) = e2 )
| ( op(e3,op(e3,e4)) != e4
& op(e4,op(e3,e4)) = e3 ) )
& ( ( op(e1,op(e1,e0)) != e0
& op(e0,op(e1,e0)) = e1 )
| ( op(e2,op(e2,e0)) != e0
& op(e0,op(e2,e0)) = e2 )
| ( op(e3,op(e3,e0)) != e0
& op(e0,op(e3,e0)) = e3 )
| ( op(e4,op(e4,e0)) != e0
& op(e0,op(e4,e0)) = e4 ) ) ),
inference(canonicalize,[],[negate_1_0]) ).
fof(normalize_1_1,plain,
op(e1,e0) != op(e0,e1),
inference(conjunct,[],[normalize_1_0]) ).
fof(normalize_1_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_1_3,plain,
op(unit,e0) = e0,
inference(conjunct,[],[normalize_1_2]) ).
fof(normalize_1_4,plain,
op(e1,unit) = e1,
inference(conjunct,[],[normalize_1_2]) ).
fof(normalize_1_5,plain,
op(unit,e4) = e4,
inference(conjunct,[],[normalize_1_2]) ).
fof(normalize_1_6,plain,
( unit = e0
| unit = e1
| unit = e2
| unit = e3
| unit = e4 ),
inference(conjunct,[],[normalize_1_2]) ).
fof(normalize_1_7,plain,
( e0 = op(op(e2,e2),op(e2,e2))
& e1 = op(op(e2,op(e2,e2)),op(e2,e2))
& e3 = op(e2,op(e2,e2))
& e4 = op(e2,e2) ),
inference(canonicalize,[],[ax6]) ).
fof(normalize_1_8,plain,
e3 = op(e2,op(e2,e2)),
inference(conjunct,[],[normalize_1_7]) ).
fof(normalize_1_9,plain,
e4 = op(e2,e2),
inference(conjunct,[],[normalize_1_7]) ).
fof(normalize_1_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_1_11,plain,
e3 != e4,
inference(conjunct,[],[normalize_1_10]) ).
fof(normalize_1_12,plain,
e1 = op(op(e2,op(e2,e2)),op(e2,e2)),
inference(conjunct,[],[normalize_1_7]) ).
fof(normalize_1_13,plain,
e1 != e4,
inference(conjunct,[],[normalize_1_10]) ).
fof(normalize_1_14,plain,
e0 = op(op(e2,e2),op(e2,e2)),
inference(conjunct,[],[normalize_1_7]) ).
fof(normalize_1_15,plain,
e0 != e4,
inference(conjunct,[],[normalize_1_10]) ).
fof(normalize_1_16,plain,
op(unit,e1) = e1,
inference(conjunct,[],[normalize_1_2]) ).
fof(normalize_1_17,plain,
op(e0,unit) = e0,
inference(conjunct,[],[normalize_1_2]) ).
cnf(refute_1_0,plain,
op(e1,e0) != op(e0,e1),
inference(canonicalize,[],[normalize_1_1]) ).
cnf(refute_1_1,plain,
op(unit,e0) = e0,
inference(canonicalize,[],[normalize_1_3]) ).
cnf(refute_1_2,plain,
op(e1,unit) = 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 != e2
| op(e2,e4) = e4 ),
introduced(tautology,[equality,[$cnf( $equal(op(unit,e4),e4) ),[0,0],$fot(e2)]]) ).
cnf(refute_1_6,plain,
( op(unit,e4) != e4
| op(e2,e4) = e4
| unit = e0
| unit = e1
| unit = e3
| unit = e4 ),
inference(resolve,[$cnf( $equal(unit,e2) )],[refute_1_4,refute_1_5]) ).
cnf(refute_1_7,plain,
( op(e2,e4) = e4
| unit = e0
| unit = e1
| unit = e3
| unit = e4 ),
inference(resolve,[$cnf( $equal(op(unit,e4),e4) )],[refute_1_3,refute_1_6]) ).
cnf(refute_1_8,plain,
e3 = op(e2,op(e2,e2)),
inference(canonicalize,[],[normalize_1_8]) ).
cnf(refute_1_9,plain,
e4 = op(e2,e2),
inference(canonicalize,[],[normalize_1_9]) ).
cnf(refute_1_10,plain,
X = X,
introduced(tautology,[refl,[$fot(X)]]) ).
cnf(refute_1_11,plain,
( X != X
| X != Y
| Y = X ),
introduced(tautology,[equality,[$cnf( $equal(X,X) ),[0],$fot(Y)]]) ).
cnf(refute_1_12,plain,
( X != Y
| Y = X ),
inference(resolve,[$cnf( $equal(X,X) )],[refute_1_10,refute_1_11]) ).
cnf(refute_1_13,plain,
( e4 != op(e2,e2)
| op(e2,e2) = e4 ),
inference(subst,[],[refute_1_12:[bind(X,$fot(e4)),bind(Y,$fot(op(e2,e2)))]]) ).
cnf(refute_1_14,plain,
op(e2,e2) = e4,
inference(resolve,[$cnf( $equal(e4,op(e2,e2)) )],[refute_1_9,refute_1_13]) ).
cnf(refute_1_15,plain,
op(e2,op(e2,e2)) = op(e2,op(e2,e2)),
introduced(tautology,[refl,[$fot(op(e2,op(e2,e2)))]]) ).
cnf(refute_1_16,plain,
( op(e2,e2) != e4
| op(e2,op(e2,e2)) != op(e2,op(e2,e2))
| op(e2,op(e2,e2)) = op(e2,e4) ),
introduced(tautology,[equality,[$cnf( $equal(op(e2,op(e2,e2)),op(e2,op(e2,e2))) ),[1,1],$fot(e4)]]) ).
cnf(refute_1_17,plain,
( op(e2,e2) != e4
| op(e2,op(e2,e2)) = op(e2,e4) ),
inference(resolve,[$cnf( $equal(op(e2,op(e2,e2)),op(e2,op(e2,e2))) )],[refute_1_15,refute_1_16]) ).
cnf(refute_1_18,plain,
op(e2,op(e2,e2)) = op(e2,e4),
inference(resolve,[$cnf( $equal(op(e2,e2),e4) )],[refute_1_14,refute_1_17]) ).
cnf(refute_1_19,plain,
( e3 != op(e2,op(e2,e2))
| op(e2,op(e2,e2)) != op(e2,e4)
| e3 = op(e2,e4) ),
introduced(tautology,[equality,[$cnf( ~ $equal(e3,op(e2,e4)) ),[0],$fot(op(e2,op(e2,e2)))]]) ).
cnf(refute_1_20,plain,
( e3 != op(e2,op(e2,e2))
| e3 = op(e2,e4) ),
inference(resolve,[$cnf( $equal(op(e2,op(e2,e2)),op(e2,e4)) )],[refute_1_18,refute_1_19]) ).
cnf(refute_1_21,plain,
e3 = op(e2,e4),
inference(resolve,[$cnf( $equal(e3,op(e2,op(e2,e2))) )],[refute_1_8,refute_1_20]) ).
cnf(refute_1_22,plain,
( e3 != op(e2,e4)
| op(e2,e4) = e3 ),
inference(subst,[],[refute_1_12:[bind(X,$fot(e3)),bind(Y,$fot(op(e2,e4)))]]) ).
cnf(refute_1_23,plain,
op(e2,e4) = e3,
inference(resolve,[$cnf( $equal(e3,op(e2,e4)) )],[refute_1_21,refute_1_22]) ).
cnf(refute_1_24,plain,
( op(e2,e4) != e3
| op(e2,e4) != e4
| e3 = e4 ),
introduced(tautology,[equality,[$cnf( $equal(op(e2,e4),e4) ),[0],$fot(e3)]]) ).
cnf(refute_1_25,plain,
( op(e2,e4) != e4
| e3 = e4 ),
inference(resolve,[$cnf( $equal(op(e2,e4),e3) )],[refute_1_23,refute_1_24]) ).
cnf(refute_1_26,plain,
( e3 = e4
| unit = e0
| unit = e1
| unit = e3
| unit = e4 ),
inference(resolve,[$cnf( $equal(op(e2,e4),e4) )],[refute_1_7,refute_1_25]) ).
cnf(refute_1_27,plain,
e3 != e4,
inference(canonicalize,[],[normalize_1_11]) ).
cnf(refute_1_28,plain,
( unit = e0
| unit = e1
| unit = e3
| unit = e4 ),
inference(resolve,[$cnf( $equal(e3,e4) )],[refute_1_26,refute_1_27]) ).
cnf(refute_1_29,plain,
( op(unit,e4) != e4
| unit != e3
| op(e3,e4) = e4 ),
introduced(tautology,[equality,[$cnf( $equal(op(unit,e4),e4) ),[0,0],$fot(e3)]]) ).
cnf(refute_1_30,plain,
( op(unit,e4) != e4
| op(e3,e4) = e4
| unit = e0
| unit = e1
| unit = e4 ),
inference(resolve,[$cnf( $equal(unit,e3) )],[refute_1_28,refute_1_29]) ).
cnf(refute_1_31,plain,
( op(e3,e4) = e4
| unit = e0
| unit = e1
| unit = e4 ),
inference(resolve,[$cnf( $equal(op(unit,e4),e4) )],[refute_1_3,refute_1_30]) ).
cnf(refute_1_32,plain,
e1 = op(op(e2,op(e2,e2)),op(e2,e2)),
inference(canonicalize,[],[normalize_1_12]) ).
cnf(refute_1_33,plain,
op(e3,op(e2,e2)) = op(e3,op(e2,e2)),
introduced(tautology,[refl,[$fot(op(e3,op(e2,e2)))]]) ).
cnf(refute_1_34,plain,
( op(e2,e2) != e4
| op(e3,op(e2,e2)) != op(e3,op(e2,e2))
| op(e3,op(e2,e2)) = op(e3,e4) ),
introduced(tautology,[equality,[$cnf( $equal(op(e3,op(e2,e2)),op(e3,op(e2,e2))) ),[1,1],$fot(e4)]]) ).
cnf(refute_1_35,plain,
( op(e2,e2) != e4
| op(e3,op(e2,e2)) = op(e3,e4) ),
inference(resolve,[$cnf( $equal(op(e3,op(e2,e2)),op(e3,op(e2,e2))) )],[refute_1_33,refute_1_34]) ).
cnf(refute_1_36,plain,
op(e3,op(e2,e2)) = op(e3,e4),
inference(resolve,[$cnf( $equal(op(e2,e2),e4) )],[refute_1_14,refute_1_35]) ).
cnf(refute_1_37,plain,
( e3 != op(e2,op(e2,e2))
| op(e2,op(e2,e2)) = e3 ),
inference(subst,[],[refute_1_12:[bind(X,$fot(e3)),bind(Y,$fot(op(e2,op(e2,e2))))]]) ).
cnf(refute_1_38,plain,
op(e2,op(e2,e2)) = e3,
inference(resolve,[$cnf( $equal(e3,op(e2,op(e2,e2))) )],[refute_1_8,refute_1_37]) ).
cnf(refute_1_39,plain,
op(op(e2,op(e2,e2)),op(e2,e2)) = op(op(e2,op(e2,e2)),op(e2,e2)),
introduced(tautology,[refl,[$fot(op(op(e2,op(e2,e2)),op(e2,e2)))]]) ).
cnf(refute_1_40,plain,
( op(e2,op(e2,e2)) != e3
| op(op(e2,op(e2,e2)),op(e2,e2)) != op(op(e2,op(e2,e2)),op(e2,e2))
| op(op(e2,op(e2,e2)),op(e2,e2)) = op(e3,op(e2,e2)) ),
introduced(tautology,[equality,[$cnf( $equal(op(op(e2,op(e2,e2)),op(e2,e2)),op(op(e2,op(e2,e2)),op(e2,e2))) ),[1,0],$fot(e3)]]) ).
cnf(refute_1_41,plain,
( op(e2,op(e2,e2)) != e3
| op(op(e2,op(e2,e2)),op(e2,e2)) = op(e3,op(e2,e2)) ),
inference(resolve,[$cnf( $equal(op(op(e2,op(e2,e2)),op(e2,e2)),op(op(e2,op(e2,e2)),op(e2,e2))) )],[refute_1_39,refute_1_40]) ).
cnf(refute_1_42,plain,
op(op(e2,op(e2,e2)),op(e2,e2)) = op(e3,op(e2,e2)),
inference(resolve,[$cnf( $equal(op(e2,op(e2,e2)),e3) )],[refute_1_38,refute_1_41]) ).
cnf(refute_1_43,plain,
( Y != X
| Y != Z
| X = Z ),
introduced(tautology,[equality,[$cnf( $equal(Y,Z) ),[0],$fot(X)]]) ).
cnf(refute_1_44,plain,
( X != Y
| Y != Z
| X = Z ),
inference(resolve,[$cnf( $equal(Y,X) )],[refute_1_12,refute_1_43]) ).
cnf(refute_1_45,plain,
( op(e3,op(e2,e2)) != op(e3,e4)
| op(op(e2,op(e2,e2)),op(e2,e2)) != op(e3,op(e2,e2))
| op(op(e2,op(e2,e2)),op(e2,e2)) = op(e3,e4) ),
inference(subst,[],[refute_1_44:[bind(X,$fot(op(op(e2,op(e2,e2)),op(e2,e2)))),bind(Y,$fot(op(e3,op(e2,e2)))),bind(Z,$fot(op(e3,e4)))]]) ).
cnf(refute_1_46,plain,
( op(e3,op(e2,e2)) != op(e3,e4)
| op(op(e2,op(e2,e2)),op(e2,e2)) = op(e3,e4) ),
inference(resolve,[$cnf( $equal(op(op(e2,op(e2,e2)),op(e2,e2)),op(e3,op(e2,e2))) )],[refute_1_42,refute_1_45]) ).
cnf(refute_1_47,plain,
op(op(e2,op(e2,e2)),op(e2,e2)) = op(e3,e4),
inference(resolve,[$cnf( $equal(op(e3,op(e2,e2)),op(e3,e4)) )],[refute_1_36,refute_1_46]) ).
cnf(refute_1_48,plain,
( e1 != op(op(e2,op(e2,e2)),op(e2,e2))
| op(op(e2,op(e2,e2)),op(e2,e2)) != op(e3,e4)
| e1 = op(e3,e4) ),
introduced(tautology,[equality,[$cnf( ~ $equal(e1,op(e3,e4)) ),[0],$fot(op(op(e2,op(e2,e2)),op(e2,e2)))]]) ).
cnf(refute_1_49,plain,
( e1 != op(op(e2,op(e2,e2)),op(e2,e2))
| e1 = op(e3,e4) ),
inference(resolve,[$cnf( $equal(op(op(e2,op(e2,e2)),op(e2,e2)),op(e3,e4)) )],[refute_1_47,refute_1_48]) ).
cnf(refute_1_50,plain,
e1 = op(e3,e4),
inference(resolve,[$cnf( $equal(e1,op(op(e2,op(e2,e2)),op(e2,e2))) )],[refute_1_32,refute_1_49]) ).
cnf(refute_1_51,plain,
( e1 != op(e3,e4)
| op(e3,e4) = e1 ),
inference(subst,[],[refute_1_12:[bind(X,$fot(e1)),bind(Y,$fot(op(e3,e4)))]]) ).
cnf(refute_1_52,plain,
op(e3,e4) = e1,
inference(resolve,[$cnf( $equal(e1,op(e3,e4)) )],[refute_1_50,refute_1_51]) ).
cnf(refute_1_53,plain,
( op(e3,e4) != e1
| op(e3,e4) != e4
| e1 = e4 ),
introduced(tautology,[equality,[$cnf( $equal(op(e3,e4),e4) ),[0],$fot(e1)]]) ).
cnf(refute_1_54,plain,
( op(e3,e4) != e4
| e1 = e4 ),
inference(resolve,[$cnf( $equal(op(e3,e4),e1) )],[refute_1_52,refute_1_53]) ).
cnf(refute_1_55,plain,
( e1 = e4
| unit = e0
| unit = e1
| unit = e4 ),
inference(resolve,[$cnf( $equal(op(e3,e4),e4) )],[refute_1_31,refute_1_54]) ).
cnf(refute_1_56,plain,
e1 != e4,
inference(canonicalize,[],[normalize_1_13]) ).
cnf(refute_1_57,plain,
( unit = e0
| unit = e1
| unit = e4 ),
inference(resolve,[$cnf( $equal(e1,e4) )],[refute_1_55,refute_1_56]) ).
cnf(refute_1_58,plain,
( op(unit,e4) != e4
| unit != e4
| op(e4,e4) = e4 ),
introduced(tautology,[equality,[$cnf( $equal(op(unit,e4),e4) ),[0,0],$fot(e4)]]) ).
cnf(refute_1_59,plain,
( op(unit,e4) != e4
| op(e4,e4) = e4
| unit = e0
| unit = e1 ),
inference(resolve,[$cnf( $equal(unit,e4) )],[refute_1_57,refute_1_58]) ).
cnf(refute_1_60,plain,
( op(e4,e4) = e4
| unit = e0
| unit = e1 ),
inference(resolve,[$cnf( $equal(op(unit,e4),e4) )],[refute_1_3,refute_1_59]) ).
cnf(refute_1_61,plain,
e0 = op(op(e2,e2),op(e2,e2)),
inference(canonicalize,[],[normalize_1_14]) ).
cnf(refute_1_62,plain,
op(e4,op(e2,e2)) = op(e4,op(e2,e2)),
introduced(tautology,[refl,[$fot(op(e4,op(e2,e2)))]]) ).
cnf(refute_1_63,plain,
( op(e2,e2) != e4
| op(e4,op(e2,e2)) != op(e4,op(e2,e2))
| op(e4,op(e2,e2)) = op(e4,e4) ),
introduced(tautology,[equality,[$cnf( $equal(op(e4,op(e2,e2)),op(e4,op(e2,e2))) ),[1,1],$fot(e4)]]) ).
cnf(refute_1_64,plain,
( op(e2,e2) != e4
| op(e4,op(e2,e2)) = op(e4,e4) ),
inference(resolve,[$cnf( $equal(op(e4,op(e2,e2)),op(e4,op(e2,e2))) )],[refute_1_62,refute_1_63]) ).
cnf(refute_1_65,plain,
op(e4,op(e2,e2)) = op(e4,e4),
inference(resolve,[$cnf( $equal(op(e2,e2),e4) )],[refute_1_14,refute_1_64]) ).
cnf(refute_1_66,plain,
op(op(e2,e2),op(e2,e2)) = op(op(e2,e2),op(e2,e2)),
introduced(tautology,[refl,[$fot(op(op(e2,e2),op(e2,e2)))]]) ).
cnf(refute_1_67,plain,
( op(e2,e2) != e4
| op(op(e2,e2),op(e2,e2)) != op(op(e2,e2),op(e2,e2))
| op(op(e2,e2),op(e2,e2)) = op(e4,op(e2,e2)) ),
introduced(tautology,[equality,[$cnf( $equal(op(op(e2,e2),op(e2,e2)),op(op(e2,e2),op(e2,e2))) ),[1,0],$fot(e4)]]) ).
cnf(refute_1_68,plain,
( op(e2,e2) != e4
| op(op(e2,e2),op(e2,e2)) = op(e4,op(e2,e2)) ),
inference(resolve,[$cnf( $equal(op(op(e2,e2),op(e2,e2)),op(op(e2,e2),op(e2,e2))) )],[refute_1_66,refute_1_67]) ).
cnf(refute_1_69,plain,
op(op(e2,e2),op(e2,e2)) = op(e4,op(e2,e2)),
inference(resolve,[$cnf( $equal(op(e2,e2),e4) )],[refute_1_14,refute_1_68]) ).
cnf(refute_1_70,plain,
( op(e4,op(e2,e2)) != op(e4,e4)
| op(op(e2,e2),op(e2,e2)) != op(e4,op(e2,e2))
| op(op(e2,e2),op(e2,e2)) = op(e4,e4) ),
inference(subst,[],[refute_1_44:[bind(X,$fot(op(op(e2,e2),op(e2,e2)))),bind(Y,$fot(op(e4,op(e2,e2)))),bind(Z,$fot(op(e4,e4)))]]) ).
cnf(refute_1_71,plain,
( op(e4,op(e2,e2)) != op(e4,e4)
| op(op(e2,e2),op(e2,e2)) = op(e4,e4) ),
inference(resolve,[$cnf( $equal(op(op(e2,e2),op(e2,e2)),op(e4,op(e2,e2))) )],[refute_1_69,refute_1_70]) ).
cnf(refute_1_72,plain,
op(op(e2,e2),op(e2,e2)) = op(e4,e4),
inference(resolve,[$cnf( $equal(op(e4,op(e2,e2)),op(e4,e4)) )],[refute_1_65,refute_1_71]) ).
cnf(refute_1_73,plain,
( e0 != op(op(e2,e2),op(e2,e2))
| op(op(e2,e2),op(e2,e2)) != op(e4,e4)
| e0 = op(e4,e4) ),
introduced(tautology,[equality,[$cnf( ~ $equal(e0,op(e4,e4)) ),[0],$fot(op(op(e2,e2),op(e2,e2)))]]) ).
cnf(refute_1_74,plain,
( e0 != op(op(e2,e2),op(e2,e2))
| e0 = op(e4,e4) ),
inference(resolve,[$cnf( $equal(op(op(e2,e2),op(e2,e2)),op(e4,e4)) )],[refute_1_72,refute_1_73]) ).
cnf(refute_1_75,plain,
e0 = op(e4,e4),
inference(resolve,[$cnf( $equal(e0,op(op(e2,e2),op(e2,e2))) )],[refute_1_61,refute_1_74]) ).
cnf(refute_1_76,plain,
( e0 != op(e4,e4)
| op(e4,e4) = e0 ),
inference(subst,[],[refute_1_12:[bind(X,$fot(e0)),bind(Y,$fot(op(e4,e4)))]]) ).
cnf(refute_1_77,plain,
op(e4,e4) = e0,
inference(resolve,[$cnf( $equal(e0,op(e4,e4)) )],[refute_1_75,refute_1_76]) ).
cnf(refute_1_78,plain,
( op(e4,e4) != e0
| op(e4,e4) != e4
| e0 = e4 ),
introduced(tautology,[equality,[$cnf( $equal(op(e4,e4),e4) ),[0],$fot(e0)]]) ).
cnf(refute_1_79,plain,
( op(e4,e4) != e4
| e0 = e4 ),
inference(resolve,[$cnf( $equal(op(e4,e4),e0) )],[refute_1_77,refute_1_78]) ).
cnf(refute_1_80,plain,
( e0 = e4
| unit = e0
| unit = e1 ),
inference(resolve,[$cnf( $equal(op(e4,e4),e4) )],[refute_1_60,refute_1_79]) ).
cnf(refute_1_81,plain,
e0 != e4,
inference(canonicalize,[],[normalize_1_15]) ).
cnf(refute_1_82,plain,
( unit = e0
| unit = e1 ),
inference(resolve,[$cnf( $equal(e0,e4) )],[refute_1_80,refute_1_81]) ).
cnf(refute_1_83,plain,
( op(e1,unit) != e1
| unit != e0
| op(e1,e0) = e1 ),
introduced(tautology,[equality,[$cnf( $equal(op(e1,unit),e1) ),[0,1],$fot(e0)]]) ).
cnf(refute_1_84,plain,
( op(e1,unit) != e1
| op(e1,e0) = e1
| unit = e1 ),
inference(resolve,[$cnf( $equal(unit,e0) )],[refute_1_82,refute_1_83]) ).
cnf(refute_1_85,plain,
( op(e1,e0) = e1
| unit = e1 ),
inference(resolve,[$cnf( $equal(op(e1,unit),e1) )],[refute_1_2,refute_1_84]) ).
cnf(refute_1_86,plain,
( e1 != op(e0,e1)
| op(e1,e0) != e1
| op(e1,e0) = op(e0,e1) ),
introduced(tautology,[equality,[$cnf( $equal(op(e1,e0),e1) ),[1],$fot(op(e0,e1))]]) ).
cnf(refute_1_87,plain,
( e1 != op(e0,e1)
| op(e1,e0) = op(e0,e1)
| unit = e1 ),
inference(resolve,[$cnf( $equal(op(e1,e0),e1) )],[refute_1_85,refute_1_86]) ).
cnf(refute_1_88,plain,
( e1 != op(e0,e1)
| unit = e1 ),
inference(resolve,[$cnf( $equal(op(e1,e0),op(e0,e1)) )],[refute_1_87,refute_1_0]) ).
cnf(refute_1_89,plain,
op(unit,e1) = e1,
inference(canonicalize,[],[normalize_1_16]) ).
cnf(refute_1_90,plain,
( op(unit,e1) != e1
| unit != e0
| op(e0,e1) = e1 ),
introduced(tautology,[equality,[$cnf( $equal(op(unit,e1),e1) ),[0,0],$fot(e0)]]) ).
cnf(refute_1_91,plain,
( op(unit,e1) != e1
| op(e0,e1) = e1
| unit = e1 ),
inference(resolve,[$cnf( $equal(unit,e0) )],[refute_1_82,refute_1_90]) ).
cnf(refute_1_92,plain,
( op(e0,e1) = e1
| unit = e1 ),
inference(resolve,[$cnf( $equal(op(unit,e1),e1) )],[refute_1_89,refute_1_91]) ).
cnf(refute_1_93,plain,
( e1 != e1
| op(e0,e1) != e1
| e1 = op(e0,e1) ),
introduced(tautology,[equality,[$cnf( ~ $equal(e1,op(e0,e1)) ),[1],$fot(e1)]]) ).
cnf(refute_1_94,plain,
( e1 != e1
| e1 = op(e0,e1)
| unit = e1 ),
inference(resolve,[$cnf( $equal(op(e0,e1),e1) )],[refute_1_92,refute_1_93]) ).
cnf(refute_1_95,plain,
( e1 != e1
| unit = e1 ),
inference(resolve,[$cnf( $equal(e1,op(e0,e1)) )],[refute_1_94,refute_1_88]) ).
cnf(refute_1_96,plain,
e1 = e1,
introduced(tautology,[refl,[$fot(e1)]]) ).
cnf(refute_1_97,plain,
unit = e1,
inference(resolve,[$cnf( $equal(e1,e1) )],[refute_1_96,refute_1_95]) ).
cnf(refute_1_98,plain,
op(unit,e0) = op(unit,e0),
introduced(tautology,[refl,[$fot(op(unit,e0))]]) ).
cnf(refute_1_99,plain,
( op(unit,e0) != op(unit,e0)
| unit != e1
| op(unit,e0) = op(e1,e0) ),
introduced(tautology,[equality,[$cnf( $equal(op(unit,e0),op(unit,e0)) ),[1,0],$fot(e1)]]) ).
cnf(refute_1_100,plain,
( unit != e1
| op(unit,e0) = op(e1,e0) ),
inference(resolve,[$cnf( $equal(op(unit,e0),op(unit,e0)) )],[refute_1_98,refute_1_99]) ).
cnf(refute_1_101,plain,
op(unit,e0) = op(e1,e0),
inference(resolve,[$cnf( $equal(unit,e1) )],[refute_1_97,refute_1_100]) ).
cnf(refute_1_102,plain,
( op(unit,e0) != e0
| op(unit,e0) != op(e1,e0)
| op(e1,e0) = e0 ),
introduced(tautology,[equality,[$cnf( $equal(op(unit,e0),e0) ),[0],$fot(op(e1,e0))]]) ).
cnf(refute_1_103,plain,
( op(unit,e0) != e0
| op(e1,e0) = e0 ),
inference(resolve,[$cnf( $equal(op(unit,e0),op(e1,e0)) )],[refute_1_101,refute_1_102]) ).
cnf(refute_1_104,plain,
op(e1,e0) = e0,
inference(resolve,[$cnf( $equal(op(unit,e0),e0) )],[refute_1_1,refute_1_103]) ).
cnf(refute_1_105,plain,
( e0 != op(e0,e1)
| op(e1,e0) != e0
| op(e1,e0) = op(e0,e1) ),
introduced(tautology,[equality,[$cnf( $equal(op(e1,e0),e0) ),[1],$fot(op(e0,e1))]]) ).
cnf(refute_1_106,plain,
( e0 != op(e0,e1)
| op(e1,e0) = op(e0,e1) ),
inference(resolve,[$cnf( $equal(op(e1,e0),e0) )],[refute_1_104,refute_1_105]) ).
cnf(refute_1_107,plain,
op(e0,unit) = e0,
inference(canonicalize,[],[normalize_1_17]) ).
cnf(refute_1_108,plain,
op(e0,unit) = op(e0,unit),
introduced(tautology,[refl,[$fot(op(e0,unit))]]) ).
cnf(refute_1_109,plain,
( op(e0,unit) != op(e0,unit)
| unit != e1
| op(e0,unit) = op(e0,e1) ),
introduced(tautology,[equality,[$cnf( $equal(op(e0,unit),op(e0,unit)) ),[1,1],$fot(e1)]]) ).
cnf(refute_1_110,plain,
( unit != e1
| op(e0,unit) = op(e0,e1) ),
inference(resolve,[$cnf( $equal(op(e0,unit),op(e0,unit)) )],[refute_1_108,refute_1_109]) ).
cnf(refute_1_111,plain,
op(e0,unit) = op(e0,e1),
inference(resolve,[$cnf( $equal(unit,e1) )],[refute_1_97,refute_1_110]) ).
cnf(refute_1_112,plain,
( op(e0,unit) != e0
| op(e0,unit) != op(e0,e1)
| op(e0,e1) = e0 ),
introduced(tautology,[equality,[$cnf( $equal(op(e0,unit),e0) ),[0],$fot(op(e0,e1))]]) ).
cnf(refute_1_113,plain,
( op(e0,unit) != e0
| op(e0,e1) = e0 ),
inference(resolve,[$cnf( $equal(op(e0,unit),op(e0,e1)) )],[refute_1_111,refute_1_112]) ).
cnf(refute_1_114,plain,
op(e0,e1) = e0,
inference(resolve,[$cnf( $equal(op(e0,unit),e0) )],[refute_1_107,refute_1_113]) ).
cnf(refute_1_115,plain,
( e0 != e0
| op(e0,e1) != e0
| e0 = op(e0,e1) ),
introduced(tautology,[equality,[$cnf( ~ $equal(e0,op(e0,e1)) ),[1],$fot(e0)]]) ).
cnf(refute_1_116,plain,
( e0 != e0
| e0 = op(e0,e1) ),
inference(resolve,[$cnf( $equal(op(e0,e1),e0) )],[refute_1_114,refute_1_115]) ).
cnf(refute_1_117,plain,
( e0 != e0
| op(e1,e0) = op(e0,e1) ),
inference(resolve,[$cnf( $equal(e0,op(e0,e1)) )],[refute_1_116,refute_1_106]) ).
cnf(refute_1_118,plain,
e0 != e0,
inference(resolve,[$cnf( $equal(op(e1,e0),op(e0,e1)) )],[refute_1_117,refute_1_0]) ).
cnf(refute_1_119,plain,
e0 = e0,
introduced(tautology,[refl,[$fot(e0)]]) ).
cnf(refute_1_120,plain,
$false,
inference(resolve,[$cnf( $equal(e0,e0) )],[refute_1_119,refute_1_118]) ).
fof(negate_2_0,plain,
~ ( ( ( ( op(e0,op(e0,e0)) != e0
& op(e0,op(e0,e0)) = e0 )
| ( op(e1,op(e1,e0)) != e0
& op(e0,op(e1,e0)) = e1 )
| ( op(e2,op(e2,e0)) != e0
& op(e0,op(e2,e0)) = e2 )
| ( op(e3,op(e3,e0)) != e0
& op(e0,op(e3,e0)) = e3 )
| ( op(e4,op(e4,e0)) != e0
& op(e0,op(e4,e0)) = e4 ) )
& ( ( op(e0,op(e0,e1)) != e1
& op(e1,op(e0,e1)) = e0 )
| ( op(e1,op(e1,e1)) != e1
& op(e1,op(e1,e1)) = e1 )
| ( op(e2,op(e2,e1)) != e1
& op(e1,op(e2,e1)) = e2 )
| ( op(e3,op(e3,e1)) != e1
& op(e1,op(e3,e1)) = e3 )
| ( op(e4,op(e4,e1)) != e1
& op(e1,op(e4,e1)) = e4 ) )
& ( ( op(e0,op(e0,e2)) != e2
& op(e2,op(e0,e2)) = e0 )
| ( op(e1,op(e1,e2)) != e2
& op(e2,op(e1,e2)) = e1 )
| ( op(e2,op(e2,e2)) != e2
& op(e2,op(e2,e2)) = e2 )
| ( op(e3,op(e3,e2)) != e2
& op(e2,op(e3,e2)) = e3 )
| ( op(e4,op(e4,e2)) != e2
& op(e2,op(e4,e2)) = e4 ) )
& ( ( op(e0,op(e0,e3)) != e3
& op(e3,op(e0,e3)) = e0 )
| ( op(e1,op(e1,e3)) != e3
& op(e3,op(e1,e3)) = e1 )
| ( op(e2,op(e2,e3)) != e3
& op(e3,op(e2,e3)) = e2 )
| ( op(e3,op(e3,e3)) != e3
& op(e3,op(e3,e3)) = e3 )
| ( op(e4,op(e4,e3)) != e3
& op(e3,op(e4,e3)) = e4 ) )
& ( ( op(e0,op(e0,e4)) != e4
& op(e4,op(e0,e4)) = e0 )
| ( op(e1,op(e1,e4)) != e4
& op(e4,op(e1,e4)) = e1 )
| ( op(e2,op(e2,e4)) != e4
& op(e4,op(e2,e4)) = e2 )
| ( op(e3,op(e3,e4)) != e4
& op(e4,op(e3,e4)) = e3 )
| ( op(e4,op(e4,e4)) != e4
& op(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(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_1,plain,
op(e2,unit) = e2,
inference(conjunct,[],[normalize_2_0]) ).
fof(normalize_2_2,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,op(e0,e1)) != e1
& op(e1,op(e0,e1)) = e0 )
| ( op(e2,op(e2,e1)) != e1
& op(e1,op(e2,e1)) = e2 )
| ( op(e3,op(e3,e1)) != e1
& op(e1,op(e3,e1)) = e3 )
| ( op(e4,op(e4,e1)) != e1
& op(e1,op(e4,e1)) = e4 ) )
& ( ( op(e0,op(e0,e2)) != e2
& op(e2,op(e0,e2)) = e0 )
| ( op(e1,op(e1,e2)) != e2
& op(e2,op(e1,e2)) = e1 )
| ( op(e3,op(e3,e2)) != e2
& op(e2,op(e3,e2)) = e3 )
| ( op(e4,op(e4,e2)) != e2
& op(e2,op(e4,e2)) = e4 ) )
& ( ( op(e0,op(e0,e3)) != e3
& op(e3,op(e0,e3)) = e0 )
| ( op(e1,op(e1,e3)) != e3
& op(e3,op(e1,e3)) = e1 )
| ( op(e2,op(e2,e3)) != e3
& op(e3,op(e2,e3)) = e2 )
| ( op(e4,op(e4,e3)) != e3
& op(e3,op(e4,e3)) = e4 ) )
& ( ( op(e0,op(e0,e4)) != e4
& op(e4,op(e0,e4)) = e0 )
| ( op(e1,op(e1,e4)) != e4
& op(e4,op(e1,e4)) = e1 )
| ( op(e2,op(e2,e4)) != e4
& op(e4,op(e2,e4)) = e2 )
| ( op(e3,op(e3,e4)) != e4
& op(e4,op(e3,e4)) = e3 ) )
& ( ( op(e1,op(e1,e0)) != e0
& op(e0,op(e1,e0)) = e1 )
| ( op(e2,op(e2,e0)) != e0
& op(e0,op(e2,e0)) = e2 )
| ( op(e3,op(e3,e0)) != e0
& op(e0,op(e3,e0)) = e3 )
| ( op(e4,op(e4,e0)) != e0
& op(e0,op(e4,e0)) = e4 ) ) ),
inference(canonicalize,[],[negate_2_0]) ).
fof(normalize_2_3,plain,
op(op(e0,e2),e2) = e0,
inference(conjunct,[],[normalize_2_2]) ).
fof(normalize_2_4,plain,
op(unit,e2) = e2,
inference(conjunct,[],[normalize_2_0]) ).
fof(normalize_2_5,plain,
op(unit,e4) = e4,
inference(conjunct,[],[normalize_2_0]) ).
fof(normalize_2_6,plain,
( unit = e0
| unit = e1
| unit = e2
| unit = e3
| unit = e4 ),
inference(conjunct,[],[normalize_2_0]) ).
fof(normalize_2_7,plain,
( e0 = op(op(e2,e2),op(e2,e2))
& e1 = op(op(e2,op(e2,e2)),op(e2,e2))
& e3 = op(e2,op(e2,e2))
& e4 = op(e2,e2) ),
inference(canonicalize,[],[ax6]) ).
fof(normalize_2_8,plain,
e3 = op(e2,op(e2,e2)),
inference(conjunct,[],[normalize_2_7]) ).
fof(normalize_2_9,plain,
e4 = op(e2,e2),
inference(conjunct,[],[normalize_2_7]) ).
fof(normalize_2_10,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_11,plain,
op(e2,e2) != op(e2,e4),
inference(conjunct,[],[normalize_2_10]) ).
fof(normalize_2_12,plain,
e1 = op(op(e2,op(e2,e2)),op(e2,e2)),
inference(conjunct,[],[normalize_2_7]) ).
fof(normalize_2_13,plain,
( e0 != e1
& e0 != e2
& e0 != e3
& e0 != e4
& e1 != e2
& e1 != e3
& e1 != e4
& e2 != e3
& e2 != e4
& e3 != e4 ),
inference(canonicalize,[],[ax5]) ).
fof(normalize_2_14,plain,
e1 != e4,
inference(conjunct,[],[normalize_2_13]) ).
fof(normalize_2_15,plain,
e0 = op(op(e2,e2),op(e2,e2)),
inference(conjunct,[],[normalize_2_7]) ).
fof(normalize_2_16,plain,
e0 != e4,
inference(conjunct,[],[normalize_2_13]) ).
fof(normalize_2_17,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_2_18,plain,
( op(e2,e0) = e0
| op(e2,e1) = e0
| op(e2,e2) = e0
| op(e2,e3) = e0
| op(e2,e4) = e0 ),
inference(conjunct,[],[normalize_2_17]) ).
fof(normalize_2_19,plain,
e0 != e3,
inference(conjunct,[],[normalize_2_13]) ).
fof(normalize_2_20,plain,
e0 != e2,
inference(conjunct,[],[normalize_2_13]) ).
fof(normalize_2_21,plain,
op(e1,e0) != op(e2,e0),
inference(conjunct,[],[normalize_2_10]) ).
fof(normalize_2_22,plain,
op(unit,e0) = e0,
inference(conjunct,[],[normalize_2_0]) ).
fof(normalize_2_23,plain,
( op(e2,e0) = e1
| op(e2,e1) = e1
| op(e2,e2) = e1
| op(e2,e3) = e1
| op(e2,e4) = e1 ),
inference(conjunct,[],[normalize_2_17]) ).
fof(normalize_2_24,plain,
e1 != e3,
inference(conjunct,[],[normalize_2_13]) ).
fof(normalize_2_25,plain,
e0 != e1,
inference(conjunct,[],[normalize_2_13]) ).
fof(normalize_2_26,plain,
e1 != e2,
inference(conjunct,[],[normalize_2_13]) ).
fof(normalize_2_27,plain,
( ~ definitionFOFtoCNF_7
<=> ( op(e3,op(e0,e3)) != e0
| op(e0,op(e0,e3)) = e3 ) ),
inference(canonicalize,[],[definition_4]) ).
fof(normalize_2_28,plain,
( ( op(e0,op(e0,e3)) != e3
| ~ definitionFOFtoCNF_7 )
& ( ~ definitionFOFtoCNF_7
| op(e3,op(e0,e3)) = e0 )
& ( op(e3,op(e0,e3)) != e0
| op(e0,op(e0,e3)) = e3
| definitionFOFtoCNF_7 ) ),
inference(clausify,[],[normalize_2_27]) ).
fof(normalize_2_29,plain,
( ~ definitionFOFtoCNF_7
| op(e3,op(e0,e3)) = e0 ),
inference(conjunct,[],[normalize_2_28]) ).
fof(normalize_2_30,plain,
( ( op(e0,op(e0,e3)) != e3
& op(e3,op(e0,e3)) = e0 )
| ( op(e1,op(e1,e3)) != e3
& op(e3,op(e1,e3)) = e1 )
| ( op(e2,op(e2,e3)) != e3
& op(e3,op(e2,e3)) = e2 )
| ( op(e4,op(e4,e3)) != e3
& op(e3,op(e4,e3)) = e4 ) ),
inference(conjunct,[],[normalize_2_2]) ).
fof(normalize_2_31,plain,
( definitionFOFtoCNF_7
| ( op(e1,op(e1,e3)) != e3
& op(e3,op(e1,e3)) = e1 )
| ( op(e2,op(e2,e3)) != e3
& op(e3,op(e2,e3)) = e2 )
| ( op(e4,op(e4,e3)) != e3
& op(e3,op(e4,e3)) = e4 ) ),
inference(simplify,[],[normalize_2_30,normalize_2_27]) ).
fof(normalize_2_32,plain,
( ( op(e1,op(e1,e3)) != e3
| op(e2,op(e2,e3)) != e3
| op(e4,op(e4,e3)) != e3
| definitionFOFtoCNF_7 )
& ( op(e1,op(e1,e3)) != e3
| op(e2,op(e2,e3)) != e3
| op(e3,op(e4,e3)) = e4
| definitionFOFtoCNF_7 )
& ( op(e1,op(e1,e3)) != e3
| op(e4,op(e4,e3)) != e3
| op(e3,op(e2,e3)) = e2
| definitionFOFtoCNF_7 )
& ( op(e1,op(e1,e3)) != e3
| op(e3,op(e2,e3)) = e2
| op(e3,op(e4,e3)) = e4
| definitionFOFtoCNF_7 )
& ( op(e2,op(e2,e3)) != e3
| op(e4,op(e4,e3)) != e3
| op(e3,op(e1,e3)) = e1
| definitionFOFtoCNF_7 )
& ( op(e2,op(e2,e3)) != e3
| op(e3,op(e1,e3)) = e1
| op(e3,op(e4,e3)) = e4
| definitionFOFtoCNF_7 )
& ( op(e4,op(e4,e3)) != e3
| op(e3,op(e1,e3)) = e1
| op(e3,op(e2,e3)) = e2
| definitionFOFtoCNF_7 )
& ( op(e3,op(e1,e3)) = e1
| op(e3,op(e2,e3)) = e2
| op(e3,op(e4,e3)) = e4
| definitionFOFtoCNF_7 ) ),
inference(clausify,[],[normalize_2_31]) ).
fof(normalize_2_33,plain,
( op(e3,op(e1,e3)) = e1
| op(e3,op(e2,e3)) = e2
| op(e3,op(e4,e3)) = e4
| definitionFOFtoCNF_7 ),
inference(conjunct,[],[normalize_2_32]) ).
fof(normalize_2_34,plain,
( ( op(e0,op(e0,e4)) != e4
& op(e4,op(e0,e4)) = e0 )
| ( op(e1,op(e1,e4)) != e4
& op(e4,op(e1,e4)) = e1 )
| ( op(e2,op(e2,e4)) != e4
& op(e4,op(e2,e4)) = e2 )
| ( op(e3,op(e3,e4)) != e4
& op(e4,op(e3,e4)) = e3 ) ),
inference(conjunct,[],[normalize_2_2]) ).
fof(normalize_2_35,plain,
( ~ definitionFOFtoCNF_8
<=> ( op(e4,op(e0,e4)) != e0
| op(e0,op(e0,e4)) = e4 ) ),
inference(canonicalize,[],[definition_5]) ).
fof(normalize_2_36,plain,
( definitionFOFtoCNF_8
| ( op(e1,op(e1,e4)) != e4
& op(e4,op(e1,e4)) = e1 )
| ( op(e2,op(e2,e4)) != e4
& op(e4,op(e2,e4)) = e2 )
| ( op(e3,op(e3,e4)) != e4
& op(e4,op(e3,e4)) = e3 ) ),
inference(simplify,[],[normalize_2_34,normalize_2_35]) ).
fof(normalize_2_37,plain,
( ( op(e1,op(e1,e4)) != e4
| op(e2,op(e2,e4)) != e4
| op(e3,op(e3,e4)) != e4
| definitionFOFtoCNF_8 )
& ( op(e1,op(e1,e4)) != e4
| op(e2,op(e2,e4)) != e4
| op(e4,op(e3,e4)) = e3
| definitionFOFtoCNF_8 )
& ( op(e1,op(e1,e4)) != e4
| op(e3,op(e3,e4)) != e4
| op(e4,op(e2,e4)) = e2
| definitionFOFtoCNF_8 )
& ( op(e1,op(e1,e4)) != e4
| op(e4,op(e2,e4)) = e2
| op(e4,op(e3,e4)) = e3
| definitionFOFtoCNF_8 )
& ( op(e2,op(e2,e4)) != e4
| op(e3,op(e3,e4)) != e4
| op(e4,op(e1,e4)) = e1
| definitionFOFtoCNF_8 )
& ( op(e2,op(e2,e4)) != e4
| op(e4,op(e1,e4)) = e1
| op(e4,op(e3,e4)) = e3
| definitionFOFtoCNF_8 )
& ( op(e3,op(e3,e4)) != e4
| op(e4,op(e1,e4)) = e1
| op(e4,op(e2,e4)) = e2
| definitionFOFtoCNF_8 )
& ( op(e4,op(e1,e4)) = e1
| op(e4,op(e2,e4)) = e2
| op(e4,op(e3,e4)) = e3
| definitionFOFtoCNF_8 ) ),
inference(clausify,[],[normalize_2_36]) ).
fof(normalize_2_38,plain,
( op(e4,op(e1,e4)) = e1
| op(e4,op(e2,e4)) = e2
| op(e4,op(e3,e4)) = e3
| definitionFOFtoCNF_8 ),
inference(conjunct,[],[normalize_2_37]) ).
fof(normalize_2_39,plain,
( op(e0,e4) = e4
| op(e1,e4) = e4
| op(e2,e4) = e4
| op(e3,e4) = e4
| op(e4,e4) = e4 ),
inference(conjunct,[],[normalize_2_17]) ).
fof(normalize_2_40,plain,
op(e2,e2) != op(e3,e2),
inference(conjunct,[],[normalize_2_10]) ).
fof(normalize_2_41,plain,
op(e0,e4) != op(e1,e4),
inference(conjunct,[],[normalize_2_10]) ).
fof(normalize_2_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_2_43,plain,
( op(e0,e4) = e0
| op(e0,e4) = e1
| op(e0,e4) = e2
| op(e0,e4) = e3
| op(e0,e4) = e4 ),
inference(conjunct,[],[normalize_2_42]) ).
fof(normalize_2_44,plain,
op(e0,e4) != op(e4,e4),
inference(conjunct,[],[normalize_2_10]) ).
fof(normalize_2_45,plain,
op(e0,e4) != op(e3,e4),
inference(conjunct,[],[normalize_2_10]) ).
fof(normalize_2_46,plain,
op(e0,e4) != op(e2,e4),
inference(conjunct,[],[normalize_2_10]) ).
fof(normalize_2_47,plain,
op(e3,e3) != op(e4,e3),
inference(conjunct,[],[normalize_2_10]) ).
fof(normalize_2_48,plain,
( op(e1,op(e1,e4)) != e4
| op(e4,op(e2,e4)) = e2
| op(e4,op(e3,e4)) = e3
| definitionFOFtoCNF_8 ),
inference(conjunct,[],[normalize_2_37]) ).
fof(normalize_2_49,plain,
op(e4,unit) = e4,
inference(conjunct,[],[normalize_2_0]) ).
fof(normalize_2_50,plain,
( ( op(e0,op(e0,e4)) != e4
| ~ definitionFOFtoCNF_8 )
& ( ~ definitionFOFtoCNF_8
| op(e4,op(e0,e4)) = e0 )
& ( op(e4,op(e0,e4)) != e0
| op(e0,op(e0,e4)) = e4
| definitionFOFtoCNF_8 ) ),
inference(clausify,[],[normalize_2_35]) ).
fof(normalize_2_51,plain,
( ~ definitionFOFtoCNF_8
| op(e4,op(e0,e4)) = e0 ),
inference(conjunct,[],[normalize_2_50]) ).
fof(normalize_2_52,plain,
( op(e4,e0) = e1
| op(e4,e1) = e1
| op(e4,e2) = e1
| op(e4,e3) = e1
| op(e4,e4) = e1 ),
inference(conjunct,[],[normalize_2_17]) ).
fof(normalize_2_53,plain,
op(e4,e0) != op(e4,e2),
inference(conjunct,[],[normalize_2_10]) ).
fof(normalize_2_54,plain,
( op(e0,e2) = e1
| op(e1,e2) = e1
| op(e2,e2) = e1
| op(e3,e2) = e1
| op(e4,e2) = e1 ),
inference(conjunct,[],[normalize_2_17]) ).
fof(normalize_2_55,plain,
op(e3,e2) != op(e3,e4),
inference(conjunct,[],[normalize_2_10]) ).
fof(normalize_2_56,plain,
( op(e0,e2) = e0
| op(e0,e2) = e1
| op(e0,e2) = e2
| op(e0,e2) = e3
| op(e0,e2) = e4 ),
inference(conjunct,[],[normalize_2_42]) ).
fof(normalize_2_57,plain,
op(e0,e2) != op(e2,e2),
inference(conjunct,[],[normalize_2_10]) ).
fof(normalize_2_58,plain,
op(e0,e1) != op(e0,e2),
inference(conjunct,[],[normalize_2_10]) ).
fof(normalize_2_59,plain,
op(e0,unit) = e0,
inference(conjunct,[],[normalize_2_0]) ).
fof(normalize_2_60,plain,
op(e4,e2) != op(e4,e3),
inference(conjunct,[],[normalize_2_10]) ).
fof(normalize_2_61,plain,
( op(e3,e3) = e0
| op(e3,e3) = e1
| op(e3,e3) = e2
| op(e3,e3) = e3
| op(e3,e3) = e4 ),
inference(conjunct,[],[normalize_2_42]) ).
fof(normalize_2_62,plain,
op(e3,e3) != op(e3,e4),
inference(conjunct,[],[normalize_2_10]) ).
fof(normalize_2_63,plain,
op(e2,e3) != op(e3,e3),
inference(conjunct,[],[normalize_2_10]) ).
fof(normalize_2_64,plain,
op(e1,e3) != op(e3,e3),
inference(conjunct,[],[normalize_2_10]) ).
fof(normalize_2_65,plain,
op(unit,e3) = e3,
inference(conjunct,[],[normalize_2_0]) ).
fof(normalize_2_66,plain,
e2 != e4,
inference(conjunct,[],[normalize_2_13]) ).
fof(normalize_2_67,plain,
op(op(e0,e2),e0) != e2,
inference(conjunct,[],[normalize_2_2]) ).
fof(normalize_2_68,plain,
op(e3,unit) = e3,
inference(conjunct,[],[normalize_2_0]) ).
fof(normalize_2_69,plain,
( op(e0,e3) = e0
| op(e0,e3) = e1
| op(e0,e3) = e2
| op(e0,e3) = e3
| op(e0,e3) = e4 ),
inference(conjunct,[],[normalize_2_42]) ).
fof(normalize_2_70,plain,
op(e0,e3) != op(e2,e3),
inference(conjunct,[],[normalize_2_10]) ).
fof(normalize_2_71,plain,
op(e0,e3) != op(e0,e4),
inference(conjunct,[],[normalize_2_10]) ).
fof(normalize_2_72,plain,
op(e0,e2) != op(e0,e3),
inference(conjunct,[],[normalize_2_10]) ).
fof(normalize_2_73,plain,
op(e0,e3) != op(e3,e3),
inference(conjunct,[],[normalize_2_10]) ).
cnf(refute_2_0,plain,
op(e2,unit) = e2,
inference(canonicalize,[],[normalize_2_1]) ).
cnf(refute_2_1,plain,
op(op(e0,e2),e2) = e0,
inference(canonicalize,[],[normalize_2_3]) ).
cnf(refute_2_2,plain,
op(unit,e2) = e2,
inference(canonicalize,[],[normalize_2_4]) ).
cnf(refute_2_3,plain,
op(unit,e4) = e4,
inference(canonicalize,[],[normalize_2_5]) ).
cnf(refute_2_4,plain,
( unit = e0
| unit = e1
| unit = e2
| unit = e3
| unit = e4 ),
inference(canonicalize,[],[normalize_2_6]) ).
cnf(refute_2_5,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_2_6,plain,
( op(unit,e4) != e4
| op(e2,e4) = e4
| unit = e0
| unit = e1
| unit = e3
| unit = e4 ),
inference(resolve,[$cnf( $equal(unit,e2) )],[refute_2_4,refute_2_5]) ).
cnf(refute_2_7,plain,
( op(e2,e4) = e4
| unit = e0
| unit = e1
| unit = e3
| unit = e4 ),
inference(resolve,[$cnf( $equal(op(unit,e4),e4) )],[refute_2_3,refute_2_6]) ).
cnf(refute_2_8,plain,
e3 = op(e2,op(e2,e2)),
inference(canonicalize,[],[normalize_2_8]) ).
cnf(refute_2_9,plain,
e4 = op(e2,e2),
inference(canonicalize,[],[normalize_2_9]) ).
cnf(refute_2_10,plain,
X = X,
introduced(tautology,[refl,[$fot(X)]]) ).
cnf(refute_2_11,plain,
( X != X
| X != Y
| Y = X ),
introduced(tautology,[equality,[$cnf( $equal(X,X) ),[0],$fot(Y)]]) ).
cnf(refute_2_12,plain,
( X != Y
| Y = X ),
inference(resolve,[$cnf( $equal(X,X) )],[refute_2_10,refute_2_11]) ).
cnf(refute_2_13,plain,
( e4 != op(e2,e2)
| op(e2,e2) = e4 ),
inference(subst,[],[refute_2_12:[bind(X,$fot(e4)),bind(Y,$fot(op(e2,e2)))]]) ).
cnf(refute_2_14,plain,
op(e2,e2) = e4,
inference(resolve,[$cnf( $equal(e4,op(e2,e2)) )],[refute_2_9,refute_2_13]) ).
cnf(refute_2_15,plain,
op(e2,op(e2,e2)) = op(e2,op(e2,e2)),
introduced(tautology,[refl,[$fot(op(e2,op(e2,e2)))]]) ).
cnf(refute_2_16,plain,
( op(e2,e2) != e4
| op(e2,op(e2,e2)) != op(e2,op(e2,e2))
| op(e2,op(e2,e2)) = op(e2,e4) ),
introduced(tautology,[equality,[$cnf( $equal(op(e2,op(e2,e2)),op(e2,op(e2,e2))) ),[1,1],$fot(e4)]]) ).
cnf(refute_2_17,plain,
( op(e2,e2) != e4
| op(e2,op(e2,e2)) = op(e2,e4) ),
inference(resolve,[$cnf( $equal(op(e2,op(e2,e2)),op(e2,op(e2,e2))) )],[refute_2_15,refute_2_16]) ).
cnf(refute_2_18,plain,
op(e2,op(e2,e2)) = op(e2,e4),
inference(resolve,[$cnf( $equal(op(e2,e2),e4) )],[refute_2_14,refute_2_17]) ).
cnf(refute_2_19,plain,
( e3 != op(e2,op(e2,e2))
| op(e2,op(e2,e2)) != op(e2,e4)
| e3 = op(e2,e4) ),
introduced(tautology,[equality,[$cnf( ~ $equal(e3,op(e2,e4)) ),[0],$fot(op(e2,op(e2,e2)))]]) ).
cnf(refute_2_20,plain,
( e3 != op(e2,op(e2,e2))
| e3 = op(e2,e4) ),
inference(resolve,[$cnf( $equal(op(e2,op(e2,e2)),op(e2,e4)) )],[refute_2_18,refute_2_19]) ).
cnf(refute_2_21,plain,
e3 = op(e2,e4),
inference(resolve,[$cnf( $equal(e3,op(e2,op(e2,e2))) )],[refute_2_8,refute_2_20]) ).
cnf(refute_2_22,plain,
( e3 != op(e2,e4)
| op(e2,e4) = e3 ),
inference(subst,[],[refute_2_12:[bind(X,$fot(e3)),bind(Y,$fot(op(e2,e4)))]]) ).
cnf(refute_2_23,plain,
op(e2,e4) = e3,
inference(resolve,[$cnf( $equal(e3,op(e2,e4)) )],[refute_2_21,refute_2_22]) ).
cnf(refute_2_24,plain,
( op(e2,e4) != e3
| op(e2,e4) != e4
| e3 = e4 ),
introduced(tautology,[equality,[$cnf( $equal(op(e2,e4),e4) ),[0],$fot(e3)]]) ).
cnf(refute_2_25,plain,
( op(e2,e4) != e4
| e3 = e4 ),
inference(resolve,[$cnf( $equal(op(e2,e4),e3) )],[refute_2_23,refute_2_24]) ).
cnf(refute_2_26,plain,
( e3 = e4
| unit = e0
| unit = e1
| unit = e3
| unit = e4 ),
inference(resolve,[$cnf( $equal(op(e2,e4),e4) )],[refute_2_7,refute_2_25]) ).
cnf(refute_2_27,plain,
op(e2,e2) != op(e2,e4),
inference(canonicalize,[],[normalize_2_11]) ).
cnf(refute_2_28,plain,
( e4 != op(e2,e4)
| op(e2,e2) != e4
| op(e2,e2) = op(e2,e4) ),
introduced(tautology,[equality,[$cnf( $equal(op(e2,e2),e4) ),[1],$fot(op(e2,e4))]]) ).
cnf(refute_2_29,plain,
( e4 != op(e2,e4)
| op(e2,e2) = op(e2,e4) ),
inference(resolve,[$cnf( $equal(op(e2,e2),e4) )],[refute_2_14,refute_2_28]) ).
cnf(refute_2_30,plain,
e4 != op(e2,e4),
inference(resolve,[$cnf( $equal(op(e2,e2),op(e2,e4)) )],[refute_2_29,refute_2_27]) ).
cnf(refute_2_31,plain,
( e4 != e3
| op(e2,e4) != e3
| e4 = op(e2,e4) ),
introduced(tautology,[equality,[$cnf( ~ $equal(e4,op(e2,e4)) ),[1],$fot(e3)]]) ).
cnf(refute_2_32,plain,
( e4 != e3
| e4 = op(e2,e4) ),
inference(resolve,[$cnf( $equal(op(e2,e4),e3) )],[refute_2_23,refute_2_31]) ).
cnf(refute_2_33,plain,
e4 != e3,
inference(resolve,[$cnf( $equal(e4,op(e2,e4)) )],[refute_2_32,refute_2_30]) ).
cnf(refute_2_34,plain,
( e3 != e4
| e4 = e3 ),
inference(subst,[],[refute_2_12:[bind(X,$fot(e3)),bind(Y,$fot(e4))]]) ).
cnf(refute_2_35,plain,
e3 != e4,
inference(resolve,[$cnf( $equal(e4,e3) )],[refute_2_34,refute_2_33]) ).
cnf(refute_2_36,plain,
( unit = e0
| unit = e1
| unit = e3
| unit = e4 ),
inference(resolve,[$cnf( $equal(e3,e4) )],[refute_2_26,refute_2_35]) ).
cnf(refute_2_37,plain,
( op(unit,e4) != e4
| unit != e3
| op(e3,e4) = e4 ),
introduced(tautology,[equality,[$cnf( $equal(op(unit,e4),e4) ),[0,0],$fot(e3)]]) ).
cnf(refute_2_38,plain,
( op(unit,e4) != e4
| op(e3,e4) = e4
| unit = e0
| unit = e1
| unit = e4 ),
inference(resolve,[$cnf( $equal(unit,e3) )],[refute_2_36,refute_2_37]) ).
cnf(refute_2_39,plain,
( op(e3,e4) = e4
| unit = e0
| unit = e1
| unit = e4 ),
inference(resolve,[$cnf( $equal(op(unit,e4),e4) )],[refute_2_3,refute_2_38]) ).
cnf(refute_2_40,plain,
e1 = op(op(e2,op(e2,e2)),op(e2,e2)),
inference(canonicalize,[],[normalize_2_12]) ).
cnf(refute_2_41,plain,
op(e3,op(e2,e2)) = op(e3,op(e2,e2)),
introduced(tautology,[refl,[$fot(op(e3,op(e2,e2)))]]) ).
cnf(refute_2_42,plain,
( op(e2,e2) != e4
| op(e3,op(e2,e2)) != op(e3,op(e2,e2))
| op(e3,op(e2,e2)) = op(e3,e4) ),
introduced(tautology,[equality,[$cnf( $equal(op(e3,op(e2,e2)),op(e3,op(e2,e2))) ),[1,1],$fot(e4)]]) ).
cnf(refute_2_43,plain,
( op(e2,e2) != e4
| op(e3,op(e2,e2)) = op(e3,e4) ),
inference(resolve,[$cnf( $equal(op(e3,op(e2,e2)),op(e3,op(e2,e2))) )],[refute_2_41,refute_2_42]) ).
cnf(refute_2_44,plain,
op(e3,op(e2,e2)) = op(e3,e4),
inference(resolve,[$cnf( $equal(op(e2,e2),e4) )],[refute_2_14,refute_2_43]) ).
cnf(refute_2_45,plain,
( e3 != op(e2,op(e2,e2))
| op(e2,op(e2,e2)) = e3 ),
inference(subst,[],[refute_2_12:[bind(X,$fot(e3)),bind(Y,$fot(op(e2,op(e2,e2))))]]) ).
cnf(refute_2_46,plain,
op(e2,op(e2,e2)) = e3,
inference(resolve,[$cnf( $equal(e3,op(e2,op(e2,e2))) )],[refute_2_8,refute_2_45]) ).
cnf(refute_2_47,plain,
op(op(e2,op(e2,e2)),op(e2,e2)) = op(op(e2,op(e2,e2)),op(e2,e2)),
introduced(tautology,[refl,[$fot(op(op(e2,op(e2,e2)),op(e2,e2)))]]) ).
cnf(refute_2_48,plain,
( op(e2,op(e2,e2)) != e3
| op(op(e2,op(e2,e2)),op(e2,e2)) != op(op(e2,op(e2,e2)),op(e2,e2))
| op(op(e2,op(e2,e2)),op(e2,e2)) = op(e3,op(e2,e2)) ),
introduced(tautology,[equality,[$cnf( $equal(op(op(e2,op(e2,e2)),op(e2,e2)),op(op(e2,op(e2,e2)),op(e2,e2))) ),[1,0],$fot(e3)]]) ).
cnf(refute_2_49,plain,
( op(e2,op(e2,e2)) != e3
| op(op(e2,op(e2,e2)),op(e2,e2)) = op(e3,op(e2,e2)) ),
inference(resolve,[$cnf( $equal(op(op(e2,op(e2,e2)),op(e2,e2)),op(op(e2,op(e2,e2)),op(e2,e2))) )],[refute_2_47,refute_2_48]) ).
cnf(refute_2_50,plain,
op(op(e2,op(e2,e2)),op(e2,e2)) = op(e3,op(e2,e2)),
inference(resolve,[$cnf( $equal(op(e2,op(e2,e2)),e3) )],[refute_2_46,refute_2_49]) ).
cnf(refute_2_51,plain,
( Y != X
| Y != Z
| X = Z ),
introduced(tautology,[equality,[$cnf( $equal(Y,Z) ),[0],$fot(X)]]) ).
cnf(refute_2_52,plain,
( X != Y
| Y != Z
| X = Z ),
inference(resolve,[$cnf( $equal(Y,X) )],[refute_2_12,refute_2_51]) ).
cnf(refute_2_53,plain,
( op(e3,op(e2,e2)) != op(e3,e4)
| op(op(e2,op(e2,e2)),op(e2,e2)) != op(e3,op(e2,e2))
| op(op(e2,op(e2,e2)),op(e2,e2)) = op(e3,e4) ),
inference(subst,[],[refute_2_52:[bind(X,$fot(op(op(e2,op(e2,e2)),op(e2,e2)))),bind(Y,$fot(op(e3,op(e2,e2)))),bind(Z,$fot(op(e3,e4)))]]) ).
cnf(refute_2_54,plain,
( op(e3,op(e2,e2)) != op(e3,e4)
| op(op(e2,op(e2,e2)),op(e2,e2)) = op(e3,e4) ),
inference(resolve,[$cnf( $equal(op(op(e2,op(e2,e2)),op(e2,e2)),op(e3,op(e2,e2))) )],[refute_2_50,refute_2_53]) ).
cnf(refute_2_55,plain,
op(op(e2,op(e2,e2)),op(e2,e2)) = op(e3,e4),
inference(resolve,[$cnf( $equal(op(e3,op(e2,e2)),op(e3,e4)) )],[refute_2_44,refute_2_54]) ).
cnf(refute_2_56,plain,
( e1 != op(op(e2,op(e2,e2)),op(e2,e2))
| op(op(e2,op(e2,e2)),op(e2,e2)) != op(e3,e4)
| e1 = op(e3,e4) ),
introduced(tautology,[equality,[$cnf( ~ $equal(e1,op(e3,e4)) ),[0],$fot(op(op(e2,op(e2,e2)),op(e2,e2)))]]) ).
cnf(refute_2_57,plain,
( e1 != op(op(e2,op(e2,e2)),op(e2,e2))
| e1 = op(e3,e4) ),
inference(resolve,[$cnf( $equal(op(op(e2,op(e2,e2)),op(e2,e2)),op(e3,e4)) )],[refute_2_55,refute_2_56]) ).
cnf(refute_2_58,plain,
e1 = op(e3,e4),
inference(resolve,[$cnf( $equal(e1,op(op(e2,op(e2,e2)),op(e2,e2))) )],[refute_2_40,refute_2_57]) ).
cnf(refute_2_59,plain,
( e1 != op(e3,e4)
| op(e3,e4) = e1 ),
inference(subst,[],[refute_2_12:[bind(X,$fot(e1)),bind(Y,$fot(op(e3,e4)))]]) ).
cnf(refute_2_60,plain,
op(e3,e4) = e1,
inference(resolve,[$cnf( $equal(e1,op(e3,e4)) )],[refute_2_58,refute_2_59]) ).
cnf(refute_2_61,plain,
( op(e3,e4) != e1
| op(e3,e4) != e4
| e1 = e4 ),
introduced(tautology,[equality,[$cnf( $equal(op(e3,e4),e4) ),[0],$fot(e1)]]) ).
cnf(refute_2_62,plain,
( op(e3,e4) != e4
| e1 = e4 ),
inference(resolve,[$cnf( $equal(op(e3,e4),e1) )],[refute_2_60,refute_2_61]) ).
cnf(refute_2_63,plain,
( e1 = e4
| unit = e0
| unit = e1
| unit = e4 ),
inference(resolve,[$cnf( $equal(op(e3,e4),e4) )],[refute_2_39,refute_2_62]) ).
cnf(refute_2_64,plain,
e1 != e4,
inference(canonicalize,[],[normalize_2_14]) ).
cnf(refute_2_65,plain,
( unit = e0
| unit = e1
| unit = e4 ),
inference(resolve,[$cnf( $equal(e1,e4) )],[refute_2_63,refute_2_64]) ).
cnf(refute_2_66,plain,
( op(unit,e4) != e4
| unit != e4
| op(e4,e4) = e4 ),
introduced(tautology,[equality,[$cnf( $equal(op(unit,e4),e4) ),[0,0],$fot(e4)]]) ).
cnf(refute_2_67,plain,
( op(unit,e4) != e4
| op(e4,e4) = e4
| unit = e0
| unit = e1 ),
inference(resolve,[$cnf( $equal(unit,e4) )],[refute_2_65,refute_2_66]) ).
cnf(refute_2_68,plain,
( op(e4,e4) = e4
| unit = e0
| unit = e1 ),
inference(resolve,[$cnf( $equal(op(unit,e4),e4) )],[refute_2_3,refute_2_67]) ).
cnf(refute_2_69,plain,
e0 = op(op(e2,e2),op(e2,e2)),
inference(canonicalize,[],[normalize_2_15]) ).
cnf(refute_2_70,plain,
op(e4,op(e2,e2)) = op(e4,op(e2,e2)),
introduced(tautology,[refl,[$fot(op(e4,op(e2,e2)))]]) ).
cnf(refute_2_71,plain,
( op(e2,e2) != e4
| op(e4,op(e2,e2)) != op(e4,op(e2,e2))
| op(e4,op(e2,e2)) = op(e4,e4) ),
introduced(tautology,[equality,[$cnf( $equal(op(e4,op(e2,e2)),op(e4,op(e2,e2))) ),[1,1],$fot(e4)]]) ).
cnf(refute_2_72,plain,
( op(e2,e2) != e4
| op(e4,op(e2,e2)) = op(e4,e4) ),
inference(resolve,[$cnf( $equal(op(e4,op(e2,e2)),op(e4,op(e2,e2))) )],[refute_2_70,refute_2_71]) ).
cnf(refute_2_73,plain,
op(e4,op(e2,e2)) = op(e4,e4),
inference(resolve,[$cnf( $equal(op(e2,e2),e4) )],[refute_2_14,refute_2_72]) ).
cnf(refute_2_74,plain,
op(op(e2,e2),op(e2,e2)) = op(op(e2,e2),op(e2,e2)),
introduced(tautology,[refl,[$fot(op(op(e2,e2),op(e2,e2)))]]) ).
cnf(refute_2_75,plain,
( op(e2,e2) != e4
| op(op(e2,e2),op(e2,e2)) != op(op(e2,e2),op(e2,e2))
| op(op(e2,e2),op(e2,e2)) = op(e4,op(e2,e2)) ),
introduced(tautology,[equality,[$cnf( $equal(op(op(e2,e2),op(e2,e2)),op(op(e2,e2),op(e2,e2))) ),[1,0],$fot(e4)]]) ).
cnf(refute_2_76,plain,
( op(e2,e2) != e4
| op(op(e2,e2),op(e2,e2)) = op(e4,op(e2,e2)) ),
inference(resolve,[$cnf( $equal(op(op(e2,e2),op(e2,e2)),op(op(e2,e2),op(e2,e2))) )],[refute_2_74,refute_2_75]) ).
cnf(refute_2_77,plain,
op(op(e2,e2),op(e2,e2)) = op(e4,op(e2,e2)),
inference(resolve,[$cnf( $equal(op(e2,e2),e4) )],[refute_2_14,refute_2_76]) ).
cnf(refute_2_78,plain,
( op(e4,op(e2,e2)) != op(e4,e4)
| op(op(e2,e2),op(e2,e2)) != op(e4,op(e2,e2))
| op(op(e2,e2),op(e2,e2)) = op(e4,e4) ),
inference(subst,[],[refute_2_52:[bind(X,$fot(op(op(e2,e2),op(e2,e2)))),bind(Y,$fot(op(e4,op(e2,e2)))),bind(Z,$fot(op(e4,e4)))]]) ).
cnf(refute_2_79,plain,
( op(e4,op(e2,e2)) != op(e4,e4)
| op(op(e2,e2),op(e2,e2)) = op(e4,e4) ),
inference(resolve,[$cnf( $equal(op(op(e2,e2),op(e2,e2)),op(e4,op(e2,e2))) )],[refute_2_77,refute_2_78]) ).
cnf(refute_2_80,plain,
op(op(e2,e2),op(e2,e2)) = op(e4,e4),
inference(resolve,[$cnf( $equal(op(e4,op(e2,e2)),op(e4,e4)) )],[refute_2_73,refute_2_79]) ).
cnf(refute_2_81,plain,
( e0 != op(op(e2,e2),op(e2,e2))
| op(op(e2,e2),op(e2,e2)) != op(e4,e4)
| e0 = op(e4,e4) ),
introduced(tautology,[equality,[$cnf( ~ $equal(e0,op(e4,e4)) ),[0],$fot(op(op(e2,e2),op(e2,e2)))]]) ).
cnf(refute_2_82,plain,
( e0 != op(op(e2,e2),op(e2,e2))
| e0 = op(e4,e4) ),
inference(resolve,[$cnf( $equal(op(op(e2,e2),op(e2,e2)),op(e4,e4)) )],[refute_2_80,refute_2_81]) ).
cnf(refute_2_83,plain,
e0 = op(e4,e4),
inference(resolve,[$cnf( $equal(e0,op(op(e2,e2),op(e2,e2))) )],[refute_2_69,refute_2_82]) ).
cnf(refute_2_84,plain,
( e0 != op(e4,e4)
| op(e4,e4) = e0 ),
inference(subst,[],[refute_2_12:[bind(X,$fot(e0)),bind(Y,$fot(op(e4,e4)))]]) ).
cnf(refute_2_85,plain,
op(e4,e4) = e0,
inference(resolve,[$cnf( $equal(e0,op(e4,e4)) )],[refute_2_83,refute_2_84]) ).
cnf(refute_2_86,plain,
( op(e4,e4) != e0
| op(e4,e4) != e4
| e0 = e4 ),
introduced(tautology,[equality,[$cnf( $equal(op(e4,e4),e4) ),[0],$fot(e0)]]) ).
cnf(refute_2_87,plain,
( op(e4,e4) != e4
| e0 = e4 ),
inference(resolve,[$cnf( $equal(op(e4,e4),e0) )],[refute_2_85,refute_2_86]) ).
cnf(refute_2_88,plain,
( e0 = e4
| unit = e0
| unit = e1 ),
inference(resolve,[$cnf( $equal(op(e4,e4),e4) )],[refute_2_68,refute_2_87]) ).
cnf(refute_2_89,plain,
e0 != e4,
inference(canonicalize,[],[normalize_2_16]) ).
cnf(refute_2_90,plain,
( unit = e0
| unit = e1 ),
inference(resolve,[$cnf( $equal(e0,e4) )],[refute_2_88,refute_2_89]) ).
cnf(refute_2_91,plain,
( op(unit,e2) != e2
| unit != e0
| op(e0,e2) = e2 ),
introduced(tautology,[equality,[$cnf( $equal(op(unit,e2),e2) ),[0,0],$fot(e0)]]) ).
cnf(refute_2_92,plain,
( op(unit,e2) != e2
| op(e0,e2) = e2
| unit = e1 ),
inference(resolve,[$cnf( $equal(unit,e0) )],[refute_2_90,refute_2_91]) ).
cnf(refute_2_93,plain,
( op(e0,e2) = e2
| unit = e1 ),
inference(resolve,[$cnf( $equal(op(unit,e2),e2) )],[refute_2_2,refute_2_92]) ).
cnf(refute_2_94,plain,
( op(e0,e2) != e2
| op(op(e0,e2),e2) != e0
| op(e2,e2) = e0 ),
introduced(tautology,[equality,[$cnf( $equal(op(op(e0,e2),e2),e0) ),[0,0],$fot(e2)]]) ).
cnf(refute_2_95,plain,
( op(op(e0,e2),e2) != e0
| op(e2,e2) = e0
| unit = e1 ),
inference(resolve,[$cnf( $equal(op(e0,e2),e2) )],[refute_2_93,refute_2_94]) ).
cnf(refute_2_96,plain,
( op(e2,e2) = e0
| unit = e1 ),
inference(resolve,[$cnf( $equal(op(op(e0,e2),e2),e0) )],[refute_2_1,refute_2_95]) ).
cnf(refute_2_97,plain,
( op(e2,e2) != e0
| op(e2,e2) != e4
| e4 = e0 ),
introduced(tautology,[equality,[$cnf( $equal(op(e2,e2),e0) ),[0],$fot(e4)]]) ).
cnf(refute_2_98,plain,
( op(e2,e2) != e0
| e4 = e0 ),
inference(resolve,[$cnf( $equal(op(e2,e2),e4) )],[refute_2_14,refute_2_97]) ).
cnf(refute_2_99,plain,
( e4 = e0
| unit = e1 ),
inference(resolve,[$cnf( $equal(op(e2,e2),e0) )],[refute_2_96,refute_2_98]) ).
cnf(refute_2_100,plain,
( e4 != e0
| e0 = e4 ),
inference(subst,[],[refute_2_12:[bind(X,$fot(e4)),bind(Y,$fot(e0))]]) ).
cnf(refute_2_101,plain,
e4 != e0,
inference(resolve,[$cnf( $equal(e0,e4) )],[refute_2_100,refute_2_89]) ).
cnf(refute_2_102,plain,
unit = e1,
inference(resolve,[$cnf( $equal(e4,e0) )],[refute_2_99,refute_2_101]) ).
cnf(refute_2_103,plain,
op(e2,unit) = op(e2,unit),
introduced(tautology,[refl,[$fot(op(e2,unit))]]) ).
cnf(refute_2_104,plain,
( op(e2,unit) != op(e2,unit)
| unit != e1
| op(e2,unit) = op(e2,e1) ),
introduced(tautology,[equality,[$cnf( $equal(op(e2,unit),op(e2,unit)) ),[1,1],$fot(e1)]]) ).
cnf(refute_2_105,plain,
( unit != e1
| op(e2,unit) = op(e2,e1) ),
inference(resolve,[$cnf( $equal(op(e2,unit),op(e2,unit)) )],[refute_2_103,refute_2_104]) ).
cnf(refute_2_106,plain,
op(e2,unit) = op(e2,e1),
inference(resolve,[$cnf( $equal(unit,e1) )],[refute_2_102,refute_2_105]) ).
cnf(refute_2_107,plain,
( op(e2,unit) != e2
| op(e2,unit) != op(e2,e1)
| op(e2,e1) = e2 ),
introduced(tautology,[equality,[$cnf( $equal(op(e2,unit),e2) ),[0],$fot(op(e2,e1))]]) ).
cnf(refute_2_108,plain,
( op(e2,unit) != e2
| op(e2,e1) = e2 ),
inference(resolve,[$cnf( $equal(op(e2,unit),op(e2,e1)) )],[refute_2_106,refute_2_107]) ).
cnf(refute_2_109,plain,
op(e2,e1) = e2,
inference(resolve,[$cnf( $equal(op(e2,unit),e2) )],[refute_2_0,refute_2_108]) ).
cnf(refute_2_110,plain,
( op(e2,e0) = e0
| op(e2,e1) = e0
| op(e2,e2) = e0
| op(e2,e3) = e0
| op(e2,e4) = e0 ),
inference(canonicalize,[],[normalize_2_18]) ).
cnf(refute_2_111,plain,
( e4 = e0
| op(e2,e0) = e0
| op(e2,e1) = e0
| op(e2,e3) = e0
| op(e2,e4) = e0 ),
inference(resolve,[$cnf( $equal(op(e2,e2),e0) )],[refute_2_110,refute_2_98]) ).
cnf(refute_2_112,plain,
( op(e2,e0) = e0
| op(e2,e1) = e0
| op(e2,e3) = e0
| op(e2,e4) = e0 ),
inference(resolve,[$cnf( $equal(e4,e0) )],[refute_2_111,refute_2_101]) ).
cnf(refute_2_113,plain,
( op(e2,e4) != e0
| op(e2,e4) != e3
| e3 = e0 ),
introduced(tautology,[equality,[$cnf( $equal(op(e2,e4),e0) ),[0],$fot(e3)]]) ).
cnf(refute_2_114,plain,
( op(e2,e4) != e0
| e3 = e0 ),
inference(resolve,[$cnf( $equal(op(e2,e4),e3) )],[refute_2_23,refute_2_113]) ).
cnf(refute_2_115,plain,
( e3 = e0
| op(e2,e0) = e0
| op(e2,e1) = e0
| op(e2,e3) = e0 ),
inference(resolve,[$cnf( $equal(op(e2,e4),e0) )],[refute_2_112,refute_2_114]) ).
cnf(refute_2_116,plain,
e0 != e3,
inference(canonicalize,[],[normalize_2_19]) ).
cnf(refute_2_117,plain,
( e3 != e0
| e0 = e3 ),
inference(subst,[],[refute_2_12:[bind(X,$fot(e3)),bind(Y,$fot(e0))]]) ).
cnf(refute_2_118,plain,
e3 != e0,
inference(resolve,[$cnf( $equal(e0,e3) )],[refute_2_117,refute_2_116]) ).
cnf(refute_2_119,plain,
( op(e2,e0) = e0
| op(e2,e1) = e0
| op(e2,e3) = e0 ),
inference(resolve,[$cnf( $equal(e3,e0) )],[refute_2_115,refute_2_118]) ).
cnf(refute_2_120,plain,
( op(e2,e1) != e0
| op(e2,e1) != e2
| e2 = e0 ),
introduced(tautology,[equality,[$cnf( $equal(op(e2,e1),e0) ),[0],$fot(e2)]]) ).
cnf(refute_2_121,plain,
( op(e2,e1) != e0
| e2 = e0 ),
inference(resolve,[$cnf( $equal(op(e2,e1),e2) )],[refute_2_109,refute_2_120]) ).
cnf(refute_2_122,plain,
( e2 = e0
| op(e2,e0) = e0
| op(e2,e3) = e0 ),
inference(resolve,[$cnf( $equal(op(e2,e1),e0) )],[refute_2_119,refute_2_121]) ).
cnf(refute_2_123,plain,
e0 != e2,
inference(canonicalize,[],[normalize_2_20]) ).
cnf(refute_2_124,plain,
( e2 != e0
| e0 = e2 ),
inference(subst,[],[refute_2_12:[bind(X,$fot(e2)),bind(Y,$fot(e0))]]) ).
cnf(refute_2_125,plain,
e2 != e0,
inference(resolve,[$cnf( $equal(e0,e2) )],[refute_2_124,refute_2_123]) ).
cnf(refute_2_126,plain,
( op(e2,e0) = e0
| op(e2,e3) = e0 ),
inference(resolve,[$cnf( $equal(e2,e0) )],[refute_2_122,refute_2_125]) ).
cnf(refute_2_127,plain,
op(e1,e0) != op(e2,e0),
inference(canonicalize,[],[normalize_2_21]) ).
cnf(refute_2_128,plain,
op(unit,e0) = e0,
inference(canonicalize,[],[normalize_2_22]) ).
cnf(refute_2_129,plain,
op(unit,e0) = op(unit,e0),
introduced(tautology,[refl,[$fot(op(unit,e0))]]) ).
cnf(refute_2_130,plain,
( op(unit,e0) != op(unit,e0)
| unit != e1
| op(unit,e0) = op(e1,e0) ),
introduced(tautology,[equality,[$cnf( $equal(op(unit,e0),op(unit,e0)) ),[1,0],$fot(e1)]]) ).
cnf(refute_2_131,plain,
( unit != e1
| op(unit,e0) = op(e1,e0) ),
inference(resolve,[$cnf( $equal(op(unit,e0),op(unit,e0)) )],[refute_2_129,refute_2_130]) ).
cnf(refute_2_132,plain,
op(unit,e0) = op(e1,e0),
inference(resolve,[$cnf( $equal(unit,e1) )],[refute_2_102,refute_2_131]) ).
cnf(refute_2_133,plain,
( op(unit,e0) != e0
| op(unit,e0) != op(e1,e0)
| op(e1,e0) = e0 ),
introduced(tautology,[equality,[$cnf( $equal(op(unit,e0),e0) ),[0],$fot(op(e1,e0))]]) ).
cnf(refute_2_134,plain,
( op(unit,e0) != e0
| op(e1,e0) = e0 ),
inference(resolve,[$cnf( $equal(op(unit,e0),op(e1,e0)) )],[refute_2_132,refute_2_133]) ).
cnf(refute_2_135,plain,
op(e1,e0) = e0,
inference(resolve,[$cnf( $equal(op(unit,e0),e0) )],[refute_2_128,refute_2_134]) ).
cnf(refute_2_136,plain,
( e0 != op(e2,e0)
| op(e1,e0) != e0
| op(e1,e0) = op(e2,e0) ),
introduced(tautology,[equality,[$cnf( $equal(op(e1,e0),e0) ),[1],$fot(op(e2,e0))]]) ).
cnf(refute_2_137,plain,
( e0 != op(e2,e0)
| op(e1,e0) = op(e2,e0) ),
inference(resolve,[$cnf( $equal(op(e1,e0),e0) )],[refute_2_135,refute_2_136]) ).
cnf(refute_2_138,plain,
e0 != op(e2,e0),
inference(resolve,[$cnf( $equal(op(e1,e0),op(e2,e0)) )],[refute_2_137,refute_2_127]) ).
cnf(refute_2_139,plain,
( op(e2,e0) != e0
| e0 = op(e2,e0) ),
inference(subst,[],[refute_2_12:[bind(X,$fot(op(e2,e0))),bind(Y,$fot(e0))]]) ).
cnf(refute_2_140,plain,
op(e2,e0) != e0,
inference(resolve,[$cnf( $equal(e0,op(e2,e0)) )],[refute_2_139,refute_2_138]) ).
cnf(refute_2_141,plain,
op(e2,e3) = e0,
inference(resolve,[$cnf( $equal(op(e2,e0),e0) )],[refute_2_126,refute_2_140]) ).
cnf(refute_2_142,plain,
( op(e2,e0) = e1
| op(e2,e1) = e1
| op(e2,e2) = e1
| op(e2,e3) = e1
| op(e2,e4) = e1 ),
inference(canonicalize,[],[normalize_2_23]) ).
cnf(refute_2_143,plain,
( op(e2,e2) != e1
| op(e2,e2) != e4
| e4 = e1 ),
introduced(tautology,[equality,[$cnf( $equal(op(e2,e2),e1) ),[0],$fot(e4)]]) ).
cnf(refute_2_144,plain,
( op(e2,e2) != e1
| e4 = e1 ),
inference(resolve,[$cnf( $equal(op(e2,e2),e4) )],[refute_2_14,refute_2_143]) ).
cnf(refute_2_145,plain,
( e4 = e1
| op(e2,e0) = e1
| op(e2,e1) = e1
| op(e2,e3) = e1
| op(e2,e4) = e1 ),
inference(resolve,[$cnf( $equal(op(e2,e2),e1) )],[refute_2_142,refute_2_144]) ).
cnf(refute_2_146,plain,
( e4 != e1
| e1 = e4 ),
inference(subst,[],[refute_2_12:[bind(X,$fot(e4)),bind(Y,$fot(e1))]]) ).
cnf(refute_2_147,plain,
e4 != e1,
inference(resolve,[$cnf( $equal(e1,e4) )],[refute_2_146,refute_2_64]) ).
cnf(refute_2_148,plain,
( op(e2,e0) = e1
| op(e2,e1) = e1
| op(e2,e3) = e1
| op(e2,e4) = e1 ),
inference(resolve,[$cnf( $equal(e4,e1) )],[refute_2_145,refute_2_147]) ).
cnf(refute_2_149,plain,
( op(e2,e4) != e1
| op(e2,e4) != e3
| e3 = e1 ),
introduced(tautology,[equality,[$cnf( $equal(op(e2,e4),e1) ),[0],$fot(e3)]]) ).
cnf(refute_2_150,plain,
( op(e2,e4) != e1
| e3 = e1 ),
inference(resolve,[$cnf( $equal(op(e2,e4),e3) )],[refute_2_23,refute_2_149]) ).
cnf(refute_2_151,plain,
( e3 = e1
| op(e2,e0) = e1
| op(e2,e1) = e1
| op(e2,e3) = e1 ),
inference(resolve,[$cnf( $equal(op(e2,e4),e1) )],[refute_2_148,refute_2_150]) ).
cnf(refute_2_152,plain,
e1 != e3,
inference(canonicalize,[],[normalize_2_24]) ).
cnf(refute_2_153,plain,
( e3 != e1
| e1 = e3 ),
inference(subst,[],[refute_2_12:[bind(X,$fot(e3)),bind(Y,$fot(e1))]]) ).
cnf(refute_2_154,plain,
e3 != e1,
inference(resolve,[$cnf( $equal(e1,e3) )],[refute_2_153,refute_2_152]) ).
cnf(refute_2_155,plain,
( op(e2,e0) = e1
| op(e2,e1) = e1
| op(e2,e3) = e1 ),
inference(resolve,[$cnf( $equal(e3,e1) )],[refute_2_151,refute_2_154]) ).
cnf(refute_2_156,plain,
( op(e2,e1) != e1
| op(e2,e1) != e2
| e2 = e1 ),
introduced(tautology,[equality,[$cnf( $equal(op(e2,e1),e1) ),[0],$fot(e2)]]) ).
cnf(refute_2_157,plain,
( op(e2,e1) != e1
| e2 = e1 ),
inference(resolve,[$cnf( $equal(op(e2,e1),e2) )],[refute_2_109,refute_2_156]) ).
cnf(refute_2_158,plain,
( e2 = e1
| op(e2,e0) = e1
| op(e2,e3) = e1 ),
inference(resolve,[$cnf( $equal(op(e2,e1),e1) )],[refute_2_155,refute_2_157]) ).
cnf(refute_2_159,plain,
( op(e2,e3) != e0
| op(e2,e3) != e1
| e0 = e1 ),
introduced(tautology,[equality,[$cnf( $equal(op(e2,e3),e1) ),[0],$fot(e0)]]) ).
cnf(refute_2_160,plain,
( op(e2,e3) != e1
| e0 = e1 ),
inference(resolve,[$cnf( $equal(op(e2,e3),e0) )],[refute_2_141,refute_2_159]) ).
cnf(refute_2_161,plain,
( e0 = e1
| e2 = e1
| op(e2,e0) = e1 ),
inference(resolve,[$cnf( $equal(op(e2,e3),e1) )],[refute_2_158,refute_2_160]) ).
cnf(refute_2_162,plain,
e0 != e1,
inference(canonicalize,[],[normalize_2_25]) ).
cnf(refute_2_163,plain,
( e2 = e1
| op(e2,e0) = e1 ),
inference(resolve,[$cnf( $equal(e0,e1) )],[refute_2_161,refute_2_162]) ).
cnf(refute_2_164,plain,
e1 != e2,
inference(canonicalize,[],[normalize_2_26]) ).
cnf(refute_2_165,plain,
( e2 != e1
| e1 = e2 ),
inference(subst,[],[refute_2_12:[bind(X,$fot(e2)),bind(Y,$fot(e1))]]) ).
cnf(refute_2_166,plain,
e2 != e1,
inference(resolve,[$cnf( $equal(e1,e2) )],[refute_2_165,refute_2_164]) ).
cnf(refute_2_167,plain,
op(e2,e0) = e1,
inference(resolve,[$cnf( $equal(e2,e1) )],[refute_2_163,refute_2_166]) ).
cnf(refute_2_168,plain,
( ~ definitionFOFtoCNF_7
| op(e3,op(e0,e3)) = e0 ),
inference(canonicalize,[],[normalize_2_29]) ).
cnf(refute_2_169,plain,
( op(e3,op(e1,e3)) = e1
| op(e3,op(e2,e3)) = e2
| op(e3,op(e4,e3)) = e4
| definitionFOFtoCNF_7 ),
inference(canonicalize,[],[normalize_2_33]) ).
cnf(refute_2_170,plain,
( op(e4,op(e1,e4)) = e1
| op(e4,op(e2,e4)) = e2
| op(e4,op(e3,e4)) = e3
| definitionFOFtoCNF_8 ),
inference(canonicalize,[],[normalize_2_38]) ).
cnf(refute_2_171,plain,
op(e4,op(e2,e4)) = op(e4,op(e2,e4)),
introduced(tautology,[refl,[$fot(op(e4,op(e2,e4)))]]) ).
cnf(refute_2_172,plain,
( op(e2,e4) != e3
| op(e4,op(e2,e4)) != op(e4,op(e2,e4))
| op(e4,op(e2,e4)) = op(e4,e3) ),
introduced(tautology,[equality,[$cnf( $equal(op(e4,op(e2,e4)),op(e4,op(e2,e4))) ),[1,1],$fot(e3)]]) ).
cnf(refute_2_173,plain,
( op(e2,e4) != e3
| op(e4,op(e2,e4)) = op(e4,e3) ),
inference(resolve,[$cnf( $equal(op(e4,op(e2,e4)),op(e4,op(e2,e4))) )],[refute_2_171,refute_2_172]) ).
cnf(refute_2_174,plain,
op(e4,op(e2,e4)) = op(e4,e3),
inference(resolve,[$cnf( $equal(op(e2,e4),e3) )],[refute_2_23,refute_2_173]) ).
cnf(refute_2_175,plain,
( op(e4,op(e2,e4)) != e2
| op(e4,op(e2,e4)) != op(e4,e3)
| op(e4,e3) = e2 ),
introduced(tautology,[equality,[$cnf( $equal(op(e4,op(e2,e4)),e2) ),[0],$fot(op(e4,e3))]]) ).
cnf(refute_2_176,plain,
( op(e4,op(e2,e4)) != e2
| op(e4,e3) = e2 ),
inference(resolve,[$cnf( $equal(op(e4,op(e2,e4)),op(e4,e3)) )],[refute_2_174,refute_2_175]) ).
cnf(refute_2_177,plain,
( op(e4,e3) = e2
| op(e4,op(e1,e4)) = e1
| op(e4,op(e3,e4)) = e3
| definitionFOFtoCNF_8 ),
inference(resolve,[$cnf( $equal(op(e4,op(e2,e4)),e2) )],[refute_2_170,refute_2_176]) ).
cnf(refute_2_178,plain,
op(e4,op(e3,e4)) = op(e4,op(e3,e4)),
introduced(tautology,[refl,[$fot(op(e4,op(e3,e4)))]]) ).
cnf(refute_2_179,plain,
( op(e3,e4) != e1
| op(e4,op(e3,e4)) != op(e4,op(e3,e4))
| op(e4,op(e3,e4)) = op(e4,e1) ),
introduced(tautology,[equality,[$cnf( $equal(op(e4,op(e3,e4)),op(e4,op(e3,e4))) ),[1,1],$fot(e1)]]) ).
cnf(refute_2_180,plain,
( op(e3,e4) != e1
| op(e4,op(e3,e4)) = op(e4,e1) ),
inference(resolve,[$cnf( $equal(op(e4,op(e3,e4)),op(e4,op(e3,e4))) )],[refute_2_178,refute_2_179]) ).
cnf(refute_2_181,plain,
op(e4,op(e3,e4)) = op(e4,e1),
inference(resolve,[$cnf( $equal(op(e3,e4),e1) )],[refute_2_60,refute_2_180]) ).
cnf(refute_2_182,plain,
( op(e4,op(e3,e4)) != e3
| op(e4,op(e3,e4)) != op(e4,e1)
| op(e4,e1) = e3 ),
introduced(tautology,[equality,[$cnf( $equal(op(e4,op(e3,e4)),e3) ),[0],$fot(op(e4,e1))]]) ).
cnf(refute_2_183,plain,
( op(e4,op(e3,e4)) != e3
| op(e4,e1) = e3 ),
inference(resolve,[$cnf( $equal(op(e4,op(e3,e4)),op(e4,e1)) )],[refute_2_181,refute_2_182]) ).
cnf(refute_2_184,plain,
( op(e4,e1) = e3
| op(e4,e3) = e2
| op(e4,op(e1,e4)) = e1
| definitionFOFtoCNF_8 ),
inference(resolve,[$cnf( $equal(op(e4,op(e3,e4)),e3) )],[refute_2_177,refute_2_183]) ).
cnf(refute_2_185,plain,
( op(e0,e4) = e4
| op(e1,e4) = e4
| op(e2,e4) = e4
| op(e3,e4) = e4
| op(e4,e4) = e4 ),
inference(canonicalize,[],[normalize_2_39]) ).
cnf(refute_2_186,plain,
( op(e2,e4) != e4
| e4 = op(e2,e4) ),
inference(subst,[],[refute_2_12:[bind(X,$fot(op(e2,e4))),bind(Y,$fot(e4))]]) ).
cnf(refute_2_187,plain,
op(e2,e4) != e4,
inference(resolve,[$cnf( $equal(e4,op(e2,e4)) )],[refute_2_186,refute_2_30]) ).
cnf(refute_2_188,plain,
( op(e0,e4) = e4
| op(e1,e4) = e4
| op(e3,e4) = e4
| op(e4,e4) = e4 ),
inference(resolve,[$cnf( $equal(op(e2,e4),e4) )],[refute_2_185,refute_2_187]) ).
cnf(refute_2_189,plain,
( e1 = e4
| op(e0,e4) = e4
| op(e1,e4) = e4
| op(e4,e4) = e4 ),
inference(resolve,[$cnf( $equal(op(e3,e4),e4) )],[refute_2_188,refute_2_62]) ).
cnf(refute_2_190,plain,
( e0 = e4
| e1 = e4
| op(e0,e4) = e4
| op(e1,e4) = e4 ),
inference(resolve,[$cnf( $equal(op(e4,e4),e4) )],[refute_2_189,refute_2_87]) ).
cnf(refute_2_191,plain,
( e1 = e4
| op(e0,e4) = e4
| op(e1,e4) = e4 ),
inference(resolve,[$cnf( $equal(e0,e4) )],[refute_2_190,refute_2_89]) ).
cnf(refute_2_192,plain,
( op(e0,e4) = e4
| op(e1,e4) = e4 ),
inference(resolve,[$cnf( $equal(e1,e4) )],[refute_2_191,refute_2_64]) ).
cnf(refute_2_193,plain,
( op(e1,e4) != e4
| op(e4,op(e1,e4)) != e1
| op(e4,e4) = e1 ),
introduced(tautology,[equality,[$cnf( $equal(op(e4,op(e1,e4)),e1) ),[0,1],$fot(e4)]]) ).
cnf(refute_2_194,plain,
( op(e4,op(e1,e4)) != e1
| op(e0,e4) = e4
| op(e4,e4) = e1 ),
inference(resolve,[$cnf( $equal(op(e1,e4),e4) )],[refute_2_192,refute_2_193]) ).
cnf(refute_2_195,plain,
( op(e0,e4) = e4
| op(e4,e1) = e3
| op(e4,e3) = e2
| op(e4,e4) = e1
| definitionFOFtoCNF_8 ),
inference(resolve,[$cnf( $equal(op(e4,op(e1,e4)),e1) )],[refute_2_184,refute_2_194]) ).
cnf(refute_2_196,plain,
( op(e4,e4) != e0
| op(e4,e4) != e1
| e0 = e1 ),
introduced(tautology,[equality,[$cnf( $equal(op(e4,e4),e1) ),[0],$fot(e0)]]) ).
cnf(refute_2_197,plain,
( op(e4,e4) != e1
| e0 = e1 ),
inference(resolve,[$cnf( $equal(op(e4,e4),e0) )],[refute_2_85,refute_2_196]) ).
cnf(refute_2_198,plain,
( e0 = e1
| op(e0,e4) = e4
| op(e4,e1) = e3
| op(e4,e3) = e2
| definitionFOFtoCNF_8 ),
inference(resolve,[$cnf( $equal(op(e4,e4),e1) )],[refute_2_195,refute_2_197]) ).
cnf(refute_2_199,plain,
( op(e0,e4) = e4
| op(e4,e1) = e3
| op(e4,e3) = e2
| definitionFOFtoCNF_8 ),
inference(resolve,[$cnf( $equal(e0,e1) )],[refute_2_198,refute_2_162]) ).
cnf(refute_2_200,plain,
( op(e3,op(e4,e3)) != e4
| op(e4,e3) != e2
| op(e3,e2) = e4 ),
introduced(tautology,[equality,[$cnf( $equal(op(e3,op(e4,e3)),e4) ),[0,1],$fot(e2)]]) ).
cnf(refute_2_201,plain,
( op(e3,op(e4,e3)) != e4
| op(e0,e4) = e4
| op(e3,e2) = e4
| op(e4,e1) = e3
| definitionFOFtoCNF_8 ),
inference(resolve,[$cnf( $equal(op(e4,e3),e2) )],[refute_2_199,refute_2_200]) ).
cnf(refute_2_202,plain,
( op(e0,e4) = e4
| op(e3,e2) = e4
| op(e3,op(e1,e3)) = e1
| op(e3,op(e2,e3)) = e2
| op(e4,e1) = e3
| definitionFOFtoCNF_7
| definitionFOFtoCNF_8 ),
inference(resolve,[$cnf( $equal(op(e3,op(e4,e3)),e4) )],[refute_2_169,refute_2_201]) ).
cnf(refute_2_203,plain,
op(e2,e2) != op(e3,e2),
inference(canonicalize,[],[normalize_2_40]) ).
cnf(refute_2_204,plain,
( e4 != op(e3,e2)
| op(e2,e2) != e4
| op(e2,e2) = op(e3,e2) ),
introduced(tautology,[equality,[$cnf( $equal(op(e2,e2),e4) ),[1],$fot(op(e3,e2))]]) ).
cnf(refute_2_205,plain,
( e4 != op(e3,e2)
| op(e2,e2) = op(e3,e2) ),
inference(resolve,[$cnf( $equal(op(e2,e2),e4) )],[refute_2_14,refute_2_204]) ).
cnf(refute_2_206,plain,
e4 != op(e3,e2),
inference(resolve,[$cnf( $equal(op(e2,e2),op(e3,e2)) )],[refute_2_205,refute_2_203]) ).
cnf(refute_2_207,plain,
( op(e3,e2) != e4
| e4 = op(e3,e2) ),
inference(subst,[],[refute_2_12:[bind(X,$fot(op(e3,e2))),bind(Y,$fot(e4))]]) ).
cnf(refute_2_208,plain,
op(e3,e2) != e4,
inference(resolve,[$cnf( $equal(e4,op(e3,e2)) )],[refute_2_207,refute_2_206]) ).
cnf(refute_2_209,plain,
( op(e0,e4) = e4
| op(e3,op(e1,e3)) = e1
| op(e3,op(e2,e3)) = e2
| op(e4,e1) = e3
| definitionFOFtoCNF_7
| definitionFOFtoCNF_8 ),
inference(resolve,[$cnf( $equal(op(e3,e2),e4) )],[refute_2_202,refute_2_208]) ).
cnf(refute_2_210,plain,
op(e0,e4) != op(e1,e4),
inference(canonicalize,[],[normalize_2_41]) ).
cnf(refute_2_211,plain,
( op(e0,e4) = e0
| op(e0,e4) = e1
| op(e0,e4) = e2
| op(e0,e4) = e3
| op(e0,e4) = e4 ),
inference(canonicalize,[],[normalize_2_43]) ).
cnf(refute_2_212,plain,
op(e0,e4) != op(e4,e4),
inference(canonicalize,[],[normalize_2_44]) ).
cnf(refute_2_213,plain,
( op(e0,e4) != e0
| op(e4,e4) != e0
| op(e0,e4) = op(e4,e4) ),
introduced(tautology,[equality,[$cnf( ~ $equal(op(e0,e4),op(e4,e4)) ),[1],$fot(e0)]]) ).
cnf(refute_2_214,plain,
( op(e0,e4) != e0
| op(e0,e4) = op(e4,e4) ),
inference(resolve,[$cnf( $equal(op(e4,e4),e0) )],[refute_2_85,refute_2_213]) ).
cnf(refute_2_215,plain,
op(e0,e4) != e0,
inference(resolve,[$cnf( $equal(op(e0,e4),op(e4,e4)) )],[refute_2_214,refute_2_212]) ).
cnf(refute_2_216,plain,
( op(e0,e4) = e1
| op(e0,e4) = e2
| op(e0,e4) = e3
| op(e0,e4) = e4 ),
inference(resolve,[$cnf( $equal(op(e0,e4),e0) )],[refute_2_211,refute_2_215]) ).
cnf(refute_2_217,plain,
op(e0,e4) != op(e3,e4),
inference(canonicalize,[],[normalize_2_45]) ).
cnf(refute_2_218,plain,
( op(e0,e4) != e1
| op(e3,e4) != e1
| op(e0,e4) = op(e3,e4) ),
introduced(tautology,[equality,[$cnf( ~ $equal(op(e0,e4),op(e3,e4)) ),[1],$fot(e1)]]) ).
cnf(refute_2_219,plain,
( op(e0,e4) != e1
| op(e0,e4) = op(e3,e4) ),
inference(resolve,[$cnf( $equal(op(e3,e4),e1) )],[refute_2_60,refute_2_218]) ).
cnf(refute_2_220,plain,
op(e0,e4) != e1,
inference(resolve,[$cnf( $equal(op(e0,e4),op(e3,e4)) )],[refute_2_219,refute_2_217]) ).
cnf(refute_2_221,plain,
( op(e0,e4) = e2
| op(e0,e4) = e3
| op(e0,e4) = e4 ),
inference(resolve,[$cnf( $equal(op(e0,e4),e1) )],[refute_2_216,refute_2_220]) ).
cnf(refute_2_222,plain,
op(e0,e4) != op(e2,e4),
inference(canonicalize,[],[normalize_2_46]) ).
cnf(refute_2_223,plain,
( op(e0,e4) != e3
| op(e2,e4) != e3
| op(e0,e4) = op(e2,e4) ),
introduced(tautology,[equality,[$cnf( ~ $equal(op(e0,e4),op(e2,e4)) ),[1],$fot(e3)]]) ).
cnf(refute_2_224,plain,
( op(e0,e4) != e3
| op(e0,e4) = op(e2,e4) ),
inference(resolve,[$cnf( $equal(op(e2,e4),e3) )],[refute_2_23,refute_2_223]) ).
cnf(refute_2_225,plain,
op(e0,e4) != e3,
inference(resolve,[$cnf( $equal(op(e0,e4),op(e2,e4)) )],[refute_2_224,refute_2_222]) ).
cnf(refute_2_226,plain,
( op(e0,e4) = e2
| op(e0,e4) = e4 ),
inference(resolve,[$cnf( $equal(op(e0,e4),e3) )],[refute_2_221,refute_2_225]) ).
cnf(refute_2_227,plain,
( e4 != op(e1,e4)
| op(e0,e4) != e4
| op(e0,e4) = op(e1,e4) ),
introduced(tautology,[equality,[$cnf( $equal(op(e0,e4),e4) ),[1],$fot(op(e1,e4))]]) ).
cnf(refute_2_228,plain,
( e4 != op(e1,e4)
| op(e0,e4) = e2
| op(e0,e4) = op(e1,e4) ),
inference(resolve,[$cnf( $equal(op(e0,e4),e4) )],[refute_2_226,refute_2_227]) ).
cnf(refute_2_229,plain,
( e4 != op(e1,e4)
| op(e0,e4) = e2 ),
inference(resolve,[$cnf( $equal(op(e0,e4),op(e1,e4)) )],[refute_2_228,refute_2_210]) ).
cnf(refute_2_230,plain,
op(unit,e4) = op(unit,e4),
introduced(tautology,[refl,[$fot(op(unit,e4))]]) ).
cnf(refute_2_231,plain,
( op(unit,e4) != op(unit,e4)
| unit != e1
| op(unit,e4) = op(e1,e4) ),
introduced(tautology,[equality,[$cnf( $equal(op(unit,e4),op(unit,e4)) ),[1,0],$fot(e1)]]) ).
cnf(refute_2_232,plain,
( unit != e1
| op(unit,e4) = op(e1,e4) ),
inference(resolve,[$cnf( $equal(op(unit,e4),op(unit,e4)) )],[refute_2_230,refute_2_231]) ).
cnf(refute_2_233,plain,
op(unit,e4) = op(e1,e4),
inference(resolve,[$cnf( $equal(unit,e1) )],[refute_2_102,refute_2_232]) ).
cnf(refute_2_234,plain,
( op(unit,e4) != e4
| op(unit,e4) != op(e1,e4)
| op(e1,e4) = e4 ),
introduced(tautology,[equality,[$cnf( $equal(op(unit,e4),e4) ),[0],$fot(op(e1,e4))]]) ).
cnf(refute_2_235,plain,
( op(unit,e4) != e4
| op(e1,e4) = e4 ),
inference(resolve,[$cnf( $equal(op(unit,e4),op(e1,e4)) )],[refute_2_233,refute_2_234]) ).
cnf(refute_2_236,plain,
op(e1,e4) = e4,
inference(resolve,[$cnf( $equal(op(unit,e4),e4) )],[refute_2_3,refute_2_235]) ).
cnf(refute_2_237,plain,
( e4 != e4
| op(e1,e4) != e4
| e4 = op(e1,e4) ),
introduced(tautology,[equality,[$cnf( ~ $equal(e4,op(e1,e4)) ),[1],$fot(e4)]]) ).
cnf(refute_2_238,plain,
( e4 != e4
| e4 = op(e1,e4) ),
inference(resolve,[$cnf( $equal(op(e1,e4),e4) )],[refute_2_236,refute_2_237]) ).
cnf(refute_2_239,plain,
( e4 != e4
| op(e0,e4) = e2 ),
inference(resolve,[$cnf( $equal(e4,op(e1,e4)) )],[refute_2_238,refute_2_229]) ).
cnf(refute_2_240,plain,
e4 = e4,
introduced(tautology,[refl,[$fot(e4)]]) ).
cnf(refute_2_241,plain,
op(e0,e4) = e2,
inference(resolve,[$cnf( $equal(e4,e4) )],[refute_2_240,refute_2_239]) ).
cnf(refute_2_242,plain,
( op(e0,e4) != e2
| op(e0,e4) != e4
| e2 = e4 ),
introduced(tautology,[equality,[$cnf( $equal(op(e0,e4),e4) ),[0],$fot(e2)]]) ).
cnf(refute_2_243,plain,
( op(e0,e4) != e4
| e2 = e4 ),
inference(resolve,[$cnf( $equal(op(e0,e4),e2) )],[refute_2_241,refute_2_242]) ).
cnf(refute_2_244,plain,
( e2 = e4
| op(e3,op(e1,e3)) = e1
| op(e3,op(e2,e3)) = e2
| op(e4,e1) = e3
| definitionFOFtoCNF_7
| definitionFOFtoCNF_8 ),
inference(resolve,[$cnf( $equal(op(e0,e4),e4) )],[refute_2_209,refute_2_243]) ).
cnf(refute_2_245,plain,
op(e3,e3) != op(e4,e3),
inference(canonicalize,[],[normalize_2_47]) ).
cnf(refute_2_246,plain,
( op(e1,op(e1,e4)) != e4
| op(e4,op(e2,e4)) = e2
| op(e4,op(e3,e4)) = e3
| definitionFOFtoCNF_8 ),
inference(canonicalize,[],[normalize_2_48]) ).
cnf(refute_2_247,plain,
( op(e1,op(e1,e4)) != e4
| op(e4,e3) = e2
| op(e4,op(e3,e4)) = e3
| definitionFOFtoCNF_8 ),
inference(resolve,[$cnf( $equal(op(e4,op(e2,e4)),e2) )],[refute_2_246,refute_2_176]) ).
cnf(refute_2_248,plain,
( op(e1,op(e1,e4)) != e4
| op(e4,e1) = e3
| op(e4,e3) = e2
| definitionFOFtoCNF_8 ),
inference(resolve,[$cnf( $equal(op(e4,op(e3,e4)),e3) )],[refute_2_247,refute_2_183]) ).
cnf(refute_2_249,plain,
op(e1,op(e1,e4)) = op(e1,op(e1,e4)),
introduced(tautology,[refl,[$fot(op(e1,op(e1,e4)))]]) ).
cnf(refute_2_250,plain,
( op(e1,e4) != e4
| op(e1,op(e1,e4)) != op(e1,op(e1,e4))
| op(e1,op(e1,e4)) = op(e1,e4) ),
introduced(tautology,[equality,[$cnf( $equal(op(e1,op(e1,e4)),op(e1,op(e1,e4))) ),[1,1],$fot(e4)]]) ).
cnf(refute_2_251,plain,
( op(e1,e4) != e4
| op(e1,op(e1,e4)) = op(e1,e4) ),
inference(resolve,[$cnf( $equal(op(e1,op(e1,e4)),op(e1,op(e1,e4))) )],[refute_2_249,refute_2_250]) ).
cnf(refute_2_252,plain,
op(e1,op(e1,e4)) = op(e1,e4),
inference(resolve,[$cnf( $equal(op(e1,e4),e4) )],[refute_2_236,refute_2_251]) ).
cnf(refute_2_253,plain,
( op(e1,e4) != e4
| op(e1,op(e1,e4)) != op(e1,e4)
| op(e1,op(e1,e4)) = e4 ),
inference(subst,[],[refute_2_52:[bind(X,$fot(op(e1,op(e1,e4)))),bind(Y,$fot(op(e1,e4))),bind(Z,$fot(e4))]]) ).
cnf(refute_2_254,plain,
( op(e1,e4) != e4
| op(e1,op(e1,e4)) = e4 ),
inference(resolve,[$cnf( $equal(op(e1,op(e1,e4)),op(e1,e4)) )],[refute_2_252,refute_2_253]) ).
cnf(refute_2_255,plain,
op(e1,op(e1,e4)) = e4,
inference(resolve,[$cnf( $equal(op(e1,e4),e4) )],[refute_2_236,refute_2_254]) ).
cnf(refute_2_256,plain,
( e4 != e4
| op(e1,op(e1,e4)) != e4
| op(e1,op(e1,e4)) = e4 ),
introduced(tautology,[equality,[$cnf( $equal(op(e1,op(e1,e4)),e4) ),[0,1,1],$fot(e4)]]) ).
cnf(refute_2_257,plain,
( e4 != e4
| op(e1,op(e1,e4)) = e4 ),
inference(resolve,[$cnf( $equal(op(e1,op(e1,e4)),e4) )],[refute_2_255,refute_2_256]) ).
cnf(refute_2_258,plain,
( e4 != e4
| op(e4,e1) = e3
| op(e4,e3) = e2
| definitionFOFtoCNF_8 ),
inference(resolve,[$cnf( $equal(op(e1,op(e1,e4)),e4) )],[refute_2_257,refute_2_248]) ).
cnf(refute_2_259,plain,
op(e4,unit) = e4,
inference(canonicalize,[],[normalize_2_49]) ).
cnf(refute_2_260,plain,
op(e4,unit) = op(e4,unit),
introduced(tautology,[refl,[$fot(op(e4,unit))]]) ).
cnf(refute_2_261,plain,
( op(e4,unit) != op(e4,unit)
| unit != e1
| op(e4,unit) = op(e4,e1) ),
introduced(tautology,[equality,[$cnf( $equal(op(e4,unit),op(e4,unit)) ),[1,1],$fot(e1)]]) ).
cnf(refute_2_262,plain,
( unit != e1
| op(e4,unit) = op(e4,e1) ),
inference(resolve,[$cnf( $equal(op(e4,unit),op(e4,unit)) )],[refute_2_260,refute_2_261]) ).
cnf(refute_2_263,plain,
op(e4,unit) = op(e4,e1),
inference(resolve,[$cnf( $equal(unit,e1) )],[refute_2_102,refute_2_262]) ).
cnf(refute_2_264,plain,
( op(e4,unit) != e4
| op(e4,unit) != op(e4,e1)
| op(e4,e1) = e4 ),
introduced(tautology,[equality,[$cnf( $equal(op(e4,unit),e4) ),[0],$fot(op(e4,e1))]]) ).
cnf(refute_2_265,plain,
( op(e4,unit) != e4
| op(e4,e1) = e4 ),
inference(resolve,[$cnf( $equal(op(e4,unit),op(e4,e1)) )],[refute_2_263,refute_2_264]) ).
cnf(refute_2_266,plain,
op(e4,e1) = e4,
inference(resolve,[$cnf( $equal(op(e4,unit),e4) )],[refute_2_259,refute_2_265]) ).
cnf(refute_2_267,plain,
( op(e4,e1) != e3
| op(e4,e1) != e4
| e4 = e3 ),
introduced(tautology,[equality,[$cnf( $equal(op(e4,e1),e3) ),[0],$fot(e4)]]) ).
cnf(refute_2_268,plain,
( op(e4,e1) != e3
| e4 = e3 ),
inference(resolve,[$cnf( $equal(op(e4,e1),e4) )],[refute_2_266,refute_2_267]) ).
cnf(refute_2_269,plain,
( e4 != e4
| e4 = e3
| op(e4,e3) = e2
| definitionFOFtoCNF_8 ),
inference(resolve,[$cnf( $equal(op(e4,e1),e3) )],[refute_2_258,refute_2_268]) ).
cnf(refute_2_270,plain,
( e4 = e3
| op(e4,e3) = e2
| definitionFOFtoCNF_8 ),
inference(resolve,[$cnf( $equal(e4,e4) )],[refute_2_240,refute_2_269]) ).
cnf(refute_2_271,plain,
( op(e4,e3) = e2
| definitionFOFtoCNF_8 ),
inference(resolve,[$cnf( $equal(e4,e3) )],[refute_2_270,refute_2_33]) ).
cnf(refute_2_272,plain,
( ~ definitionFOFtoCNF_8
| op(e4,op(e0,e4)) = e0 ),
inference(canonicalize,[],[normalize_2_51]) ).
cnf(refute_2_273,plain,
( op(e4,e0) = e1
| op(e4,e1) = e1
| op(e4,e2) = e1
| op(e4,e3) = e1
| op(e4,e4) = e1 ),
inference(canonicalize,[],[normalize_2_52]) ).
cnf(refute_2_274,plain,
( e0 = e1
| op(e4,e0) = e1
| op(e4,e1) = e1
| op(e4,e2) = e1
| op(e4,e3) = e1 ),
inference(resolve,[$cnf( $equal(op(e4,e4),e1) )],[refute_2_273,refute_2_197]) ).
cnf(refute_2_275,plain,
( op(e4,e0) = e1
| op(e4,e1) = e1
| op(e4,e2) = e1
| op(e4,e3) = e1 ),
inference(resolve,[$cnf( $equal(e0,e1) )],[refute_2_274,refute_2_162]) ).
cnf(refute_2_276,plain,
( op(e4,e1) != e1
| op(e4,e1) != e4
| e4 = e1 ),
introduced(tautology,[equality,[$cnf( $equal(op(e4,e1),e1) ),[0],$fot(e4)]]) ).
cnf(refute_2_277,plain,
( op(e4,e1) != e1
| e4 = e1 ),
inference(resolve,[$cnf( $equal(op(e4,e1),e4) )],[refute_2_266,refute_2_276]) ).
cnf(refute_2_278,plain,
( e4 = e1
| op(e4,e0) = e1
| op(e4,e2) = e1
| op(e4,e3) = e1 ),
inference(resolve,[$cnf( $equal(op(e4,e1),e1) )],[refute_2_275,refute_2_277]) ).
cnf(refute_2_279,plain,
( op(e4,e0) = e1
| op(e4,e2) = e1
| op(e4,e3) = e1 ),
inference(resolve,[$cnf( $equal(e4,e1) )],[refute_2_278,refute_2_147]) ).
cnf(refute_2_280,plain,
op(e4,e0) != op(e4,e2),
inference(canonicalize,[],[normalize_2_53]) ).
cnf(refute_2_281,plain,
( op(e0,e2) = e1
| op(e1,e2) = e1
| op(e2,e2) = e1
| op(e3,e2) = e1
| op(e4,e2) = e1 ),
inference(canonicalize,[],[normalize_2_54]) ).
cnf(refute_2_282,plain,
( e4 = e1
| op(e0,e2) = e1
| op(e1,e2) = e1
| op(e3,e2) = e1
| op(e4,e2) = e1 ),
inference(resolve,[$cnf( $equal(op(e2,e2),e1) )],[refute_2_281,refute_2_144]) ).
cnf(refute_2_283,plain,
( op(e0,e2) = e1
| op(e1,e2) = e1
| op(e3,e2) = e1
| op(e4,e2) = e1 ),
inference(resolve,[$cnf( $equal(e4,e1) )],[refute_2_282,refute_2_147]) ).
cnf(refute_2_284,plain,
op(e3,e2) != op(e3,e4),
inference(canonicalize,[],[normalize_2_55]) ).
cnf(refute_2_285,plain,
( op(e3,e2) != e1
| op(e3,e4) != e1
| op(e3,e2) = op(e3,e4) ),
introduced(tautology,[equality,[$cnf( ~ $equal(op(e3,e2),op(e3,e4)) ),[1],$fot(e1)]]) ).
cnf(refute_2_286,plain,
( op(e3,e2) != e1
| op(e3,e2) = op(e3,e4) ),
inference(resolve,[$cnf( $equal(op(e3,e4),e1) )],[refute_2_60,refute_2_285]) ).
cnf(refute_2_287,plain,
op(e3,e2) != e1,
inference(resolve,[$cnf( $equal(op(e3,e2),op(e3,e4)) )],[refute_2_286,refute_2_284]) ).
cnf(refute_2_288,plain,
( op(e0,e2) = e1
| op(e1,e2) = e1
| op(e4,e2) = e1 ),
inference(resolve,[$cnf( $equal(op(e3,e2),e1) )],[refute_2_283,refute_2_287]) ).
cnf(refute_2_289,plain,
( op(e4,e0) != e1
| op(e4,e2) != e1
| op(e4,e0) = op(e4,e2) ),
introduced(tautology,[equality,[$cnf( ~ $equal(op(e4,e0),op(e4,e2)) ),[1],$fot(e1)]]) ).
cnf(refute_2_290,plain,
( op(e4,e0) != e1
| op(e0,e2) = e1
| op(e1,e2) = e1
| op(e4,e0) = op(e4,e2) ),
inference(resolve,[$cnf( $equal(op(e4,e2),e1) )],[refute_2_288,refute_2_289]) ).
cnf(refute_2_291,plain,
( op(e4,e0) != e1
| op(e0,e2) = e1
| op(e1,e2) = e1 ),
inference(resolve,[$cnf( $equal(op(e4,e0),op(e4,e2)) )],[refute_2_290,refute_2_280]) ).
cnf(refute_2_292,plain,
( op(e0,e2) = e0
| op(e0,e2) = e1
| op(e0,e2) = e2
| op(e0,e2) = e3
| op(e0,e2) = e4 ),
inference(canonicalize,[],[normalize_2_56]) ).
cnf(refute_2_293,plain,
op(e0,e2) != op(e2,e2),
inference(canonicalize,[],[normalize_2_57]) ).
cnf(refute_2_294,plain,
( op(e0,e2) != e4
| op(e2,e2) != e4
| op(e0,e2) = op(e2,e2) ),
introduced(tautology,[equality,[$cnf( ~ $equal(op(e0,e2),op(e2,e2)) ),[1],$fot(e4)]]) ).
cnf(refute_2_295,plain,
( op(e0,e2) != e4
| op(e0,e2) = op(e2,e2) ),
inference(resolve,[$cnf( $equal(op(e2,e2),e4) )],[refute_2_14,refute_2_294]) ).
cnf(refute_2_296,plain,
op(e0,e2) != e4,
inference(resolve,[$cnf( $equal(op(e0,e2),op(e2,e2)) )],[refute_2_295,refute_2_293]) ).
cnf(refute_2_297,plain,
( op(e0,e2) = e0
| op(e0,e2) = e1
| op(e0,e2) = e2
| op(e0,e2) = e3 ),
inference(resolve,[$cnf( $equal(op(e0,e2),e4) )],[refute_2_292,refute_2_296]) ).
cnf(refute_2_298,plain,
( op(op(e0,e2),e2) != e0
| op(e0,e2) = e0
| op(e0,e2) = e1
| op(e0,e2) = e3
| op(e2,e2) = e0 ),
inference(resolve,[$cnf( $equal(op(e0,e2),e2) )],[refute_2_297,refute_2_94]) ).
cnf(refute_2_299,plain,
( op(e0,e2) = e0
| op(e0,e2) = e1
| op(e0,e2) = e3
| op(e2,e2) = e0 ),
inference(resolve,[$cnf( $equal(op(op(e0,e2),e2),e0) )],[refute_2_1,refute_2_298]) ).
cnf(refute_2_300,plain,
( e4 = e0
| op(e0,e2) = e0
| op(e0,e2) = e1
| op(e0,e2) = e3 ),
inference(resolve,[$cnf( $equal(op(e2,e2),e0) )],[refute_2_299,refute_2_98]) ).
cnf(refute_2_301,plain,
( op(e0,e2) = e0
| op(e0,e2) = e1
| op(e0,e2) = e3 ),
inference(resolve,[$cnf( $equal(e4,e0) )],[refute_2_300,refute_2_101]) ).
cnf(refute_2_302,plain,
( op(e0,e2) != e1
| op(op(e0,e2),e2) != e0
| op(e1,e2) = e0 ),
introduced(tautology,[equality,[$cnf( $equal(op(op(e0,e2),e2),e0) ),[0,0],$fot(e1)]]) ).
cnf(refute_2_303,plain,
( op(op(e0,e2),e2) != e0
| op(e0,e2) = e0
| op(e0,e2) = e3
| op(e1,e2) = e0 ),
inference(resolve,[$cnf( $equal(op(e0,e2),e1) )],[refute_2_301,refute_2_302]) ).
cnf(refute_2_304,plain,
( op(e0,e2) = e0
| op(e0,e2) = e3
| op(e1,e2) = e0 ),
inference(resolve,[$cnf( $equal(op(op(e0,e2),e2),e0) )],[refute_2_1,refute_2_303]) ).
cnf(refute_2_305,plain,
op(unit,e2) = op(unit,e2),
introduced(tautology,[refl,[$fot(op(unit,e2))]]) ).
cnf(refute_2_306,plain,
( op(unit,e2) != op(unit,e2)
| unit != e1
| op(unit,e2) = op(e1,e2) ),
introduced(tautology,[equality,[$cnf( $equal(op(unit,e2),op(unit,e2)) ),[1,0],$fot(e1)]]) ).
cnf(refute_2_307,plain,
( unit != e1
| op(unit,e2) = op(e1,e2) ),
inference(resolve,[$cnf( $equal(op(unit,e2),op(unit,e2)) )],[refute_2_305,refute_2_306]) ).
cnf(refute_2_308,plain,
op(unit,e2) = op(e1,e2),
inference(resolve,[$cnf( $equal(unit,e1) )],[refute_2_102,refute_2_307]) ).
cnf(refute_2_309,plain,
( op(unit,e2) != e2
| op(unit,e2) != op(e1,e2)
| op(e1,e2) = e2 ),
introduced(tautology,[equality,[$cnf( $equal(op(unit,e2),e2) ),[0],$fot(op(e1,e2))]]) ).
cnf(refute_2_310,plain,
( op(unit,e2) != e2
| op(e1,e2) = e2 ),
inference(resolve,[$cnf( $equal(op(unit,e2),op(e1,e2)) )],[refute_2_308,refute_2_309]) ).
cnf(refute_2_311,plain,
op(e1,e2) = e2,
inference(resolve,[$cnf( $equal(op(unit,e2),e2) )],[refute_2_2,refute_2_310]) ).
cnf(refute_2_312,plain,
( op(e1,e2) != e0
| op(e1,e2) != e2
| e2 = e0 ),
introduced(tautology,[equality,[$cnf( $equal(op(e1,e2),e0) ),[0],$fot(e2)]]) ).
cnf(refute_2_313,plain,
( op(e1,e2) != e0
| e2 = e0 ),
inference(resolve,[$cnf( $equal(op(e1,e2),e2) )],[refute_2_311,refute_2_312]) ).
cnf(refute_2_314,plain,
( e2 = e0
| op(e0,e2) = e0
| op(e0,e2) = e3 ),
inference(resolve,[$cnf( $equal(op(e1,e2),e0) )],[refute_2_304,refute_2_313]) ).
cnf(refute_2_315,plain,
( op(e0,e2) = e0
| op(e0,e2) = e3 ),
inference(resolve,[$cnf( $equal(e2,e0) )],[refute_2_314,refute_2_125]) ).
cnf(refute_2_316,plain,
op(e0,e1) != op(e0,e2),
inference(canonicalize,[],[normalize_2_58]) ).
cnf(refute_2_317,plain,
op(e0,unit) = e0,
inference(canonicalize,[],[normalize_2_59]) ).
cnf(refute_2_318,plain,
op(e0,unit) = op(e0,unit),
introduced(tautology,[refl,[$fot(op(e0,unit))]]) ).
cnf(refute_2_319,plain,
( op(e0,unit) != op(e0,unit)
| unit != e1
| op(e0,unit) = op(e0,e1) ),
introduced(tautology,[equality,[$cnf( $equal(op(e0,unit),op(e0,unit)) ),[1,1],$fot(e1)]]) ).
cnf(refute_2_320,plain,
( unit != e1
| op(e0,unit) = op(e0,e1) ),
inference(resolve,[$cnf( $equal(op(e0,unit),op(e0,unit)) )],[refute_2_318,refute_2_319]) ).
cnf(refute_2_321,plain,
op(e0,unit) = op(e0,e1),
inference(resolve,[$cnf( $equal(unit,e1) )],[refute_2_102,refute_2_320]) ).
cnf(refute_2_322,plain,
( op(e0,unit) != e0
| op(e0,unit) != op(e0,e1)
| op(e0,e1) = e0 ),
introduced(tautology,[equality,[$cnf( $equal(op(e0,unit),e0) ),[0],$fot(op(e0,e1))]]) ).
cnf(refute_2_323,plain,
( op(e0,unit) != e0
| op(e0,e1) = e0 ),
inference(resolve,[$cnf( $equal(op(e0,unit),op(e0,e1)) )],[refute_2_321,refute_2_322]) ).
cnf(refute_2_324,plain,
op(e0,e1) = e0,
inference(resolve,[$cnf( $equal(op(e0,unit),e0) )],[refute_2_317,refute_2_323]) ).
cnf(refute_2_325,plain,
( e0 != op(e0,e2)
| op(e0,e1) != e0
| op(e0,e1) = op(e0,e2) ),
introduced(tautology,[equality,[$cnf( $equal(op(e0,e1),e0) ),[1],$fot(op(e0,e2))]]) ).
cnf(refute_2_326,plain,
( e0 != op(e0,e2)
| op(e0,e1) = op(e0,e2) ),
inference(resolve,[$cnf( $equal(op(e0,e1),e0) )],[refute_2_324,refute_2_325]) ).
cnf(refute_2_327,plain,
e0 != op(e0,e2),
inference(resolve,[$cnf( $equal(op(e0,e1),op(e0,e2)) )],[refute_2_326,refute_2_316]) ).
cnf(refute_2_328,plain,
( op(e0,e2) != e0
| e0 = op(e0,e2) ),
inference(subst,[],[refute_2_12:[bind(X,$fot(op(e0,e2))),bind(Y,$fot(e0))]]) ).
cnf(refute_2_329,plain,
op(e0,e2) != e0,
inference(resolve,[$cnf( $equal(e0,op(e0,e2)) )],[refute_2_328,refute_2_327]) ).
cnf(refute_2_330,plain,
op(e0,e2) = e3,
inference(resolve,[$cnf( $equal(op(e0,e2),e0) )],[refute_2_315,refute_2_329]) ).
cnf(refute_2_331,plain,
( op(e0,e2) != e1
| op(e0,e2) != e3
| e3 = e1 ),
introduced(tautology,[equality,[$cnf( $equal(op(e0,e2),e1) ),[0],$fot(e3)]]) ).
cnf(refute_2_332,plain,
( op(e0,e2) != e1
| e3 = e1 ),
inference(resolve,[$cnf( $equal(op(e0,e2),e3) )],[refute_2_330,refute_2_331]) ).
cnf(refute_2_333,plain,
( op(e4,e0) != e1
| e3 = e1
| op(e1,e2) = e1 ),
inference(resolve,[$cnf( $equal(op(e0,e2),e1) )],[refute_2_291,refute_2_332]) ).
cnf(refute_2_334,plain,
( op(e1,e2) != e1
| op(e1,e2) != e2
| e2 = e1 ),
introduced(tautology,[equality,[$cnf( $equal(op(e1,e2),e1) ),[0],$fot(e2)]]) ).
cnf(refute_2_335,plain,
( op(e1,e2) != e1
| e2 = e1 ),
inference(resolve,[$cnf( $equal(op(e1,e2),e2) )],[refute_2_311,refute_2_334]) ).
cnf(refute_2_336,plain,
( op(e4,e0) != e1
| e2 = e1
| e3 = e1 ),
inference(resolve,[$cnf( $equal(op(e1,e2),e1) )],[refute_2_333,refute_2_335]) ).
cnf(refute_2_337,plain,
( op(e4,e0) != e1
| e3 = e1 ),
inference(resolve,[$cnf( $equal(e2,e1) )],[refute_2_336,refute_2_166]) ).
cnf(refute_2_338,plain,
op(e4,e0) != e1,
inference(resolve,[$cnf( $equal(e3,e1) )],[refute_2_337,refute_2_154]) ).
cnf(refute_2_339,plain,
( op(e4,e2) = e1
| op(e4,e3) = e1 ),
inference(resolve,[$cnf( $equal(op(e4,e0),e1) )],[refute_2_279,refute_2_338]) ).
cnf(refute_2_340,plain,
op(e4,e2) != op(e4,e3),
inference(canonicalize,[],[normalize_2_60]) ).
cnf(refute_2_341,plain,
( e1 != op(e4,e3)
| op(e4,e2) != e1
| op(e4,e2) = op(e4,e3) ),
introduced(tautology,[equality,[$cnf( $equal(op(e4,e2),e1) ),[1],$fot(op(e4,e3))]]) ).
cnf(refute_2_342,plain,
( e1 != op(e4,e3)
| op(e0,e2) = e1
| op(e1,e2) = e1
| op(e4,e2) = op(e4,e3) ),
inference(resolve,[$cnf( $equal(op(e4,e2),e1) )],[refute_2_288,refute_2_341]) ).
cnf(refute_2_343,plain,
( e1 != op(e4,e3)
| op(e0,e2) = e1
| op(e1,e2) = e1 ),
inference(resolve,[$cnf( $equal(op(e4,e2),op(e4,e3)) )],[refute_2_342,refute_2_340]) ).
cnf(refute_2_344,plain,
( e1 != op(e4,e3)
| e3 = e1
| op(e1,e2) = e1 ),
inference(resolve,[$cnf( $equal(op(e0,e2),e1) )],[refute_2_343,refute_2_332]) ).
cnf(refute_2_345,plain,
( e1 != op(e4,e3)
| e2 = e1
| e3 = e1 ),
inference(resolve,[$cnf( $equal(op(e1,e2),e1) )],[refute_2_344,refute_2_335]) ).
cnf(refute_2_346,plain,
( e1 != op(e4,e3)
| e3 = e1 ),
inference(resolve,[$cnf( $equal(e2,e1) )],[refute_2_345,refute_2_166]) ).
cnf(refute_2_347,plain,
e1 != op(e4,e3),
inference(resolve,[$cnf( $equal(e3,e1) )],[refute_2_346,refute_2_154]) ).
cnf(refute_2_348,plain,
( op(e4,e3) != e1
| e1 = op(e4,e3) ),
inference(subst,[],[refute_2_12:[bind(X,$fot(op(e4,e3))),bind(Y,$fot(e1))]]) ).
cnf(refute_2_349,plain,
op(e4,e3) != e1,
inference(resolve,[$cnf( $equal(e1,op(e4,e3)) )],[refute_2_348,refute_2_347]) ).
cnf(refute_2_350,plain,
op(e4,e2) = e1,
inference(resolve,[$cnf( $equal(op(e4,e3),e1) )],[refute_2_339,refute_2_349]) ).
cnf(refute_2_351,plain,
op(e4,op(e0,e4)) = op(e4,op(e0,e4)),
introduced(tautology,[refl,[$fot(op(e4,op(e0,e4)))]]) ).
cnf(refute_2_352,plain,
( op(e0,e4) != e2
| op(e4,op(e0,e4)) != op(e4,op(e0,e4))
| op(e4,op(e0,e4)) = op(e4,e2) ),
introduced(tautology,[equality,[$cnf( $equal(op(e4,op(e0,e4)),op(e4,op(e0,e4))) ),[1,1],$fot(e2)]]) ).
cnf(refute_2_353,plain,
( op(e0,e4) != e2
| op(e4,op(e0,e4)) = op(e4,e2) ),
inference(resolve,[$cnf( $equal(op(e4,op(e0,e4)),op(e4,op(e0,e4))) )],[refute_2_351,refute_2_352]) ).
cnf(refute_2_354,plain,
op(e4,op(e0,e4)) = op(e4,e2),
inference(resolve,[$cnf( $equal(op(e0,e4),e2) )],[refute_2_241,refute_2_353]) ).
cnf(refute_2_355,plain,
( op(e4,e2) != e1
| op(e4,op(e0,e4)) != op(e4,e2)
| op(e4,op(e0,e4)) = e1 ),
inference(subst,[],[refute_2_52:[bind(X,$fot(op(e4,op(e0,e4)))),bind(Y,$fot(op(e4,e2))),bind(Z,$fot(e1))]]) ).
cnf(refute_2_356,plain,
( op(e4,e2) != e1
| op(e4,op(e0,e4)) = e1 ),
inference(resolve,[$cnf( $equal(op(e4,op(e0,e4)),op(e4,e2)) )],[refute_2_354,refute_2_355]) ).
cnf(refute_2_357,plain,
op(e4,op(e0,e4)) = e1,
inference(resolve,[$cnf( $equal(op(e4,e2),e1) )],[refute_2_350,refute_2_356]) ).
cnf(refute_2_358,plain,
( op(e4,op(e0,e4)) != e0
| op(e4,op(e0,e4)) != e1
| e1 = e0 ),
introduced(tautology,[equality,[$cnf( $equal(op(e4,op(e0,e4)),e0) ),[0],$fot(e1)]]) ).
cnf(refute_2_359,plain,
( op(e4,op(e0,e4)) != e0
| e1 = e0 ),
inference(resolve,[$cnf( $equal(op(e4,op(e0,e4)),e1) )],[refute_2_357,refute_2_358]) ).
cnf(refute_2_360,plain,
( ~ definitionFOFtoCNF_8
| e1 = e0 ),
inference(resolve,[$cnf( $equal(op(e4,op(e0,e4)),e0) )],[refute_2_272,refute_2_359]) ).
cnf(refute_2_361,plain,
( e1 != e0
| e0 = e1 ),
inference(subst,[],[refute_2_12:[bind(X,$fot(e1)),bind(Y,$fot(e0))]]) ).
cnf(refute_2_362,plain,
e1 != e0,
inference(resolve,[$cnf( $equal(e0,e1) )],[refute_2_361,refute_2_162]) ).
cnf(refute_2_363,plain,
~ definitionFOFtoCNF_8,
inference(resolve,[$cnf( $equal(e1,e0) )],[refute_2_360,refute_2_362]) ).
cnf(refute_2_364,plain,
op(e4,e3) = e2,
inference(resolve,[$cnf( definitionFOFtoCNF_8 )],[refute_2_271,refute_2_363]) ).
cnf(refute_2_365,plain,
( op(e3,e3) != e2
| op(e4,e3) != e2
| op(e3,e3) = op(e4,e3) ),
introduced(tautology,[equality,[$cnf( ~ $equal(op(e3,e3),op(e4,e3)) ),[1],$fot(e2)]]) ).
cnf(refute_2_366,plain,
( op(e3,e3) != e2
| op(e3,e3) = op(e4,e3) ),
inference(resolve,[$cnf( $equal(op(e4,e3),e2) )],[refute_2_364,refute_2_365]) ).
cnf(refute_2_367,plain,
op(e3,e3) != e2,
inference(resolve,[$cnf( $equal(op(e3,e3),op(e4,e3)) )],[refute_2_366,refute_2_245]) ).
cnf(refute_2_368,plain,
( op(e3,e3) = e0
| op(e3,e3) = e1
| op(e3,e3) = e2
| op(e3,e3) = e3
| op(e3,e3) = e4 ),
inference(canonicalize,[],[normalize_2_61]) ).
cnf(refute_2_369,plain,
op(e3,e3) != op(e3,e4),
inference(canonicalize,[],[normalize_2_62]) ).
cnf(refute_2_370,plain,
( op(e3,e3) != e1
| op(e3,e4) != e1
| op(e3,e3) = op(e3,e4) ),
introduced(tautology,[equality,[$cnf( ~ $equal(op(e3,e3),op(e3,e4)) ),[1],$fot(e1)]]) ).
cnf(refute_2_371,plain,
( op(e3,e3) != e1
| op(e3,e3) = op(e3,e4) ),
inference(resolve,[$cnf( $equal(op(e3,e4),e1) )],[refute_2_60,refute_2_370]) ).
cnf(refute_2_372,plain,
op(e3,e3) != e1,
inference(resolve,[$cnf( $equal(op(e3,e3),op(e3,e4)) )],[refute_2_371,refute_2_369]) ).
cnf(refute_2_373,plain,
( op(e3,e3) = e0
| op(e3,e3) = e2
| op(e3,e3) = e3
| op(e3,e3) = e4 ),
inference(resolve,[$cnf( $equal(op(e3,e3),e1) )],[refute_2_368,refute_2_372]) ).
cnf(refute_2_374,plain,
( e2 != e2
| op(e3,e3) != e2
| op(e3,e3) = e2 ),
introduced(tautology,[equality,[$cnf( $equal(op(e3,e3),e2) ),[1],$fot(e2)]]) ).
cnf(refute_2_375,plain,
( e2 != e2
| op(e3,e3) = e0
| op(e3,e3) = e2
| op(e3,e3) = e3
| op(e3,e3) = e4 ),
inference(resolve,[$cnf( $equal(op(e3,e3),e2) )],[refute_2_373,refute_2_374]) ).
cnf(refute_2_376,plain,
( e2 != e2
| op(e3,e3) = e0
| op(e3,e3) = e3
| op(e3,e3) = e4 ),
inference(resolve,[$cnf( $equal(op(e3,e3),e2) )],[refute_2_375,refute_2_367]) ).
cnf(refute_2_377,plain,
e2 = e2,
introduced(tautology,[refl,[$fot(e2)]]) ).
cnf(refute_2_378,plain,
( op(e3,e3) = e0
| op(e3,e3) = e3
| op(e3,e3) = e4 ),
inference(resolve,[$cnf( $equal(e2,e2) )],[refute_2_377,refute_2_376]) ).
cnf(refute_2_379,plain,
op(e2,e3) != op(e3,e3),
inference(canonicalize,[],[normalize_2_63]) ).
cnf(refute_2_380,plain,
( e0 != op(e3,e3)
| op(e2,e3) != e0
| op(e2,e3) = op(e3,e3) ),
introduced(tautology,[equality,[$cnf( $equal(op(e2,e3),e0) ),[1],$fot(op(e3,e3))]]) ).
cnf(refute_2_381,plain,
( e0 != op(e3,e3)
| op(e2,e3) = op(e3,e3) ),
inference(resolve,[$cnf( $equal(op(e2,e3),e0) )],[refute_2_141,refute_2_380]) ).
cnf(refute_2_382,plain,
e0 != op(e3,e3),
inference(resolve,[$cnf( $equal(op(e2,e3),op(e3,e3)) )],[refute_2_381,refute_2_379]) ).
cnf(refute_2_383,plain,
( op(e3,e3) != e0
| e0 = op(e3,e3) ),
inference(subst,[],[refute_2_12:[bind(X,$fot(op(e3,e3))),bind(Y,$fot(e0))]]) ).
cnf(refute_2_384,plain,
op(e3,e3) != e0,
inference(resolve,[$cnf( $equal(e0,op(e3,e3)) )],[refute_2_383,refute_2_382]) ).
cnf(refute_2_385,plain,
( op(e3,e3) = e3
| op(e3,e3) = e4 ),
inference(resolve,[$cnf( $equal(op(e3,e3),e0) )],[refute_2_378,refute_2_384]) ).
cnf(refute_2_386,plain,
op(e1,e3) != op(e3,e3),
inference(canonicalize,[],[normalize_2_64]) ).
cnf(refute_2_387,plain,
op(unit,e3) = e3,
inference(canonicalize,[],[normalize_2_65]) ).
cnf(refute_2_388,plain,
op(unit,e3) = op(unit,e3),
introduced(tautology,[refl,[$fot(op(unit,e3))]]) ).
cnf(refute_2_389,plain,
( op(unit,e3) != op(unit,e3)
| unit != e1
| op(unit,e3) = op(e1,e3) ),
introduced(tautology,[equality,[$cnf( $equal(op(unit,e3),op(unit,e3)) ),[1,0],$fot(e1)]]) ).
cnf(refute_2_390,plain,
( unit != e1
| op(unit,e3) = op(e1,e3) ),
inference(resolve,[$cnf( $equal(op(unit,e3),op(unit,e3)) )],[refute_2_388,refute_2_389]) ).
cnf(refute_2_391,plain,
op(unit,e3) = op(e1,e3),
inference(resolve,[$cnf( $equal(unit,e1) )],[refute_2_102,refute_2_390]) ).
cnf(refute_2_392,plain,
( op(unit,e3) != e3
| op(unit,e3) != op(e1,e3)
| op(e1,e3) = e3 ),
introduced(tautology,[equality,[$cnf( $equal(op(unit,e3),e3) ),[0],$fot(op(e1,e3))]]) ).
cnf(refute_2_393,plain,
( op(unit,e3) != e3
| op(e1,e3) = e3 ),
inference(resolve,[$cnf( $equal(op(unit,e3),op(e1,e3)) )],[refute_2_391,refute_2_392]) ).
cnf(refute_2_394,plain,
op(e1,e3) = e3,
inference(resolve,[$cnf( $equal(op(unit,e3),e3) )],[refute_2_387,refute_2_393]) ).
cnf(refute_2_395,plain,
( e3 != op(e3,e3)
| op(e1,e3) != e3
| op(e1,e3) = op(e3,e3) ),
introduced(tautology,[equality,[$cnf( $equal(op(e1,e3),e3) ),[1],$fot(op(e3,e3))]]) ).
cnf(refute_2_396,plain,
( e3 != op(e3,e3)
| op(e1,e3) = op(e3,e3) ),
inference(resolve,[$cnf( $equal(op(e1,e3),e3) )],[refute_2_394,refute_2_395]) ).
cnf(refute_2_397,plain,
e3 != op(e3,e3),
inference(resolve,[$cnf( $equal(op(e1,e3),op(e3,e3)) )],[refute_2_396,refute_2_386]) ).
cnf(refute_2_398,plain,
( op(e3,e3) != e3
| e3 = op(e3,e3) ),
inference(subst,[],[refute_2_12:[bind(X,$fot(op(e3,e3))),bind(Y,$fot(e3))]]) ).
cnf(refute_2_399,plain,
op(e3,e3) != e3,
inference(resolve,[$cnf( $equal(e3,op(e3,e3)) )],[refute_2_398,refute_2_397]) ).
cnf(refute_2_400,plain,
op(e3,e3) = e4,
inference(resolve,[$cnf( $equal(op(e3,e3),e3) )],[refute_2_385,refute_2_399]) ).
cnf(refute_2_401,plain,
op(e3,op(e1,e3)) = op(e3,op(e1,e3)),
introduced(tautology,[refl,[$fot(op(e3,op(e1,e3)))]]) ).
cnf(refute_2_402,plain,
( op(e1,e3) != e3
| op(e3,op(e1,e3)) != op(e3,op(e1,e3))
| op(e3,op(e1,e3)) = op(e3,e3) ),
introduced(tautology,[equality,[$cnf( $equal(op(e3,op(e1,e3)),op(e3,op(e1,e3))) ),[1,1],$fot(e3)]]) ).
cnf(refute_2_403,plain,
( op(e1,e3) != e3
| op(e3,op(e1,e3)) = op(e3,e3) ),
inference(resolve,[$cnf( $equal(op(e3,op(e1,e3)),op(e3,op(e1,e3))) )],[refute_2_401,refute_2_402]) ).
cnf(refute_2_404,plain,
op(e3,op(e1,e3)) = op(e3,e3),
inference(resolve,[$cnf( $equal(op(e1,e3),e3) )],[refute_2_394,refute_2_403]) ).
cnf(refute_2_405,plain,
( op(e3,e3) != e4
| op(e3,op(e1,e3)) != op(e3,e3)
| op(e3,op(e1,e3)) = e4 ),
inference(subst,[],[refute_2_52:[bind(X,$fot(op(e3,op(e1,e3)))),bind(Y,$fot(op(e3,e3))),bind(Z,$fot(e4))]]) ).
cnf(refute_2_406,plain,
( op(e3,e3) != e4
| op(e3,op(e1,e3)) = e4 ),
inference(resolve,[$cnf( $equal(op(e3,op(e1,e3)),op(e3,e3)) )],[refute_2_404,refute_2_405]) ).
cnf(refute_2_407,plain,
op(e3,op(e1,e3)) = e4,
inference(resolve,[$cnf( $equal(op(e3,e3),e4) )],[refute_2_400,refute_2_406]) ).
cnf(refute_2_408,plain,
( op(e3,op(e1,e3)) != e1
| op(e3,op(e1,e3)) != e4
| e4 = e1 ),
introduced(tautology,[equality,[$cnf( $equal(op(e3,op(e1,e3)),e1) ),[0],$fot(e4)]]) ).
cnf(refute_2_409,plain,
( op(e3,op(e1,e3)) != e1
| e4 = e1 ),
inference(resolve,[$cnf( $equal(op(e3,op(e1,e3)),e4) )],[refute_2_407,refute_2_408]) ).
cnf(refute_2_410,plain,
( e2 = e4
| e4 = e1
| op(e3,op(e2,e3)) = e2
| op(e4,e1) = e3
| definitionFOFtoCNF_7
| definitionFOFtoCNF_8 ),
inference(resolve,[$cnf( $equal(op(e3,op(e1,e3)),e1) )],[refute_2_244,refute_2_409]) ).
cnf(refute_2_411,plain,
op(e3,op(e2,e3)) = op(e3,op(e2,e3)),
introduced(tautology,[refl,[$fot(op(e3,op(e2,e3)))]]) ).
cnf(refute_2_412,plain,
( op(e2,e3) != e0
| op(e3,op(e2,e3)) != op(e3,op(e2,e3))
| op(e3,op(e2,e3)) = op(e3,e0) ),
introduced(tautology,[equality,[$cnf( $equal(op(e3,op(e2,e3)),op(e3,op(e2,e3))) ),[1,1],$fot(e0)]]) ).
cnf(refute_2_413,plain,
( op(e2,e3) != e0
| op(e3,op(e2,e3)) = op(e3,e0) ),
inference(resolve,[$cnf( $equal(op(e3,op(e2,e3)),op(e3,op(e2,e3))) )],[refute_2_411,refute_2_412]) ).
cnf(refute_2_414,plain,
op(e3,op(e2,e3)) = op(e3,e0),
inference(resolve,[$cnf( $equal(op(e2,e3),e0) )],[refute_2_141,refute_2_413]) ).
cnf(refute_2_415,plain,
( op(e3,op(e2,e3)) != e2
| op(e3,op(e2,e3)) != op(e3,e0)
| op(e3,e0) = e2 ),
introduced(tautology,[equality,[$cnf( $equal(op(e3,op(e2,e3)),e2) ),[0],$fot(op(e3,e0))]]) ).
cnf(refute_2_416,plain,
( op(e3,op(e2,e3)) != e2
| op(e3,e0) = e2 ),
inference(resolve,[$cnf( $equal(op(e3,op(e2,e3)),op(e3,e0)) )],[refute_2_414,refute_2_415]) ).
cnf(refute_2_417,plain,
( e2 = e4
| e4 = e1
| op(e3,e0) = e2
| op(e4,e1) = e3
| definitionFOFtoCNF_7
| definitionFOFtoCNF_8 ),
inference(resolve,[$cnf( $equal(op(e3,op(e2,e3)),e2) )],[refute_2_410,refute_2_416]) ).
cnf(refute_2_418,plain,
( e2 = e4
| e4 = e1
| e4 = e3
| op(e3,e0) = e2
| definitionFOFtoCNF_7
| definitionFOFtoCNF_8 ),
inference(resolve,[$cnf( $equal(op(e4,e1),e3) )],[refute_2_417,refute_2_268]) ).
cnf(refute_2_419,plain,
e2 != e4,
inference(canonicalize,[],[normalize_2_66]) ).
cnf(refute_2_420,plain,
( e4 = e1
| e4 = e3
| op(e3,e0) = e2
| definitionFOFtoCNF_7
| definitionFOFtoCNF_8 ),
inference(resolve,[$cnf( $equal(e2,e4) )],[refute_2_418,refute_2_419]) ).
cnf(refute_2_421,plain,
( e4 = e3
| op(e3,e0) = e2
| definitionFOFtoCNF_7
| definitionFOFtoCNF_8 ),
inference(resolve,[$cnf( $equal(e4,e1) )],[refute_2_420,refute_2_147]) ).
cnf(refute_2_422,plain,
( op(e3,e0) = e2
| definitionFOFtoCNF_7
| definitionFOFtoCNF_8 ),
inference(resolve,[$cnf( $equal(e4,e3) )],[refute_2_421,refute_2_33]) ).
cnf(refute_2_423,plain,
op(op(e0,e2),e0) != e2,
inference(canonicalize,[],[normalize_2_67]) ).
cnf(refute_2_424,plain,
op(op(e0,e2),e0) = op(op(e0,e2),e0),
introduced(tautology,[refl,[$fot(op(op(e0,e2),e0))]]) ).
cnf(refute_2_425,plain,
( op(e0,e2) != e3
| op(op(e0,e2),e0) != op(op(e0,e2),e0)
| op(op(e0,e2),e0) = op(e3,e0) ),
introduced(tautology,[equality,[$cnf( $equal(op(op(e0,e2),e0),op(op(e0,e2),e0)) ),[1,0],$fot(e3)]]) ).
cnf(refute_2_426,plain,
( op(e0,e2) != e3
| op(op(e0,e2),e0) = op(e3,e0) ),
inference(resolve,[$cnf( $equal(op(op(e0,e2),e0),op(op(e0,e2),e0)) )],[refute_2_424,refute_2_425]) ).
cnf(refute_2_427,plain,
op(op(e0,e2),e0) = op(e3,e0),
inference(resolve,[$cnf( $equal(op(e0,e2),e3) )],[refute_2_330,refute_2_426]) ).
cnf(refute_2_428,plain,
( op(e3,e0) != e2
| op(op(e0,e2),e0) != op(e3,e0)
| op(op(e0,e2),e0) = e2 ),
introduced(tautology,[equality,[$cnf( $equal(op(op(e0,e2),e0),op(e3,e0)) ),[1],$fot(e2)]]) ).
cnf(refute_2_429,plain,
( op(e3,e0) != e2
| op(op(e0,e2),e0) = e2 ),
inference(resolve,[$cnf( $equal(op(op(e0,e2),e0),op(e3,e0)) )],[refute_2_427,refute_2_428]) ).
cnf(refute_2_430,plain,
op(e3,e0) != e2,
inference(resolve,[$cnf( $equal(op(op(e0,e2),e0),e2) )],[refute_2_429,refute_2_423]) ).
cnf(refute_2_431,plain,
( definitionFOFtoCNF_7
| definitionFOFtoCNF_8 ),
inference(resolve,[$cnf( $equal(op(e3,e0),e2) )],[refute_2_422,refute_2_430]) ).
cnf(refute_2_432,plain,
definitionFOFtoCNF_7,
inference(resolve,[$cnf( definitionFOFtoCNF_8 )],[refute_2_431,refute_2_363]) ).
cnf(refute_2_433,plain,
op(e3,op(e0,e3)) = e0,
inference(resolve,[$cnf( definitionFOFtoCNF_7 )],[refute_2_432,refute_2_168]) ).
cnf(refute_2_434,plain,
op(e3,unit) = e3,
inference(canonicalize,[],[normalize_2_68]) ).
cnf(refute_2_435,plain,
op(e3,unit) = op(e3,unit),
introduced(tautology,[refl,[$fot(op(e3,unit))]]) ).
cnf(refute_2_436,plain,
( op(e3,unit) != op(e3,unit)
| unit != e1
| op(e3,unit) = op(e3,e1) ),
introduced(tautology,[equality,[$cnf( $equal(op(e3,unit),op(e3,unit)) ),[1,1],$fot(e1)]]) ).
cnf(refute_2_437,plain,
( unit != e1
| op(e3,unit) = op(e3,e1) ),
inference(resolve,[$cnf( $equal(op(e3,unit),op(e3,unit)) )],[refute_2_435,refute_2_436]) ).
cnf(refute_2_438,plain,
op(e3,unit) = op(e3,e1),
inference(resolve,[$cnf( $equal(unit,e1) )],[refute_2_102,refute_2_437]) ).
cnf(refute_2_439,plain,
( op(e3,unit) != e3
| op(e3,unit) != op(e3,e1)
| op(e3,e1) = e3 ),
introduced(tautology,[equality,[$cnf( $equal(op(e3,unit),e3) ),[0],$fot(op(e3,e1))]]) ).
cnf(refute_2_440,plain,
( op(e3,unit) != e3
| op(e3,e1) = e3 ),
inference(resolve,[$cnf( $equal(op(e3,unit),op(e3,e1)) )],[refute_2_438,refute_2_439]) ).
cnf(refute_2_441,plain,
op(e3,e1) = e3,
inference(resolve,[$cnf( $equal(op(e3,unit),e3) )],[refute_2_434,refute_2_440]) ).
cnf(refute_2_442,plain,
( op(e0,e3) = e0
| op(e0,e3) = e1
| op(e0,e3) = e2
| op(e0,e3) = e3
| op(e0,e3) = e4 ),
inference(canonicalize,[],[normalize_2_69]) ).
cnf(refute_2_443,plain,
op(e0,e3) != op(e2,e3),
inference(canonicalize,[],[normalize_2_70]) ).
cnf(refute_2_444,plain,
( op(e0,e3) != e0
| op(e2,e3) != e0
| op(e0,e3) = op(e2,e3) ),
introduced(tautology,[equality,[$cnf( ~ $equal(op(e0,e3),op(e2,e3)) ),[1],$fot(e0)]]) ).
cnf(refute_2_445,plain,
( op(e0,e3) != e0
| op(e0,e3) = op(e2,e3) ),
inference(resolve,[$cnf( $equal(op(e2,e3),e0) )],[refute_2_141,refute_2_444]) ).
cnf(refute_2_446,plain,
op(e0,e3) != e0,
inference(resolve,[$cnf( $equal(op(e0,e3),op(e2,e3)) )],[refute_2_445,refute_2_443]) ).
cnf(refute_2_447,plain,
( op(e0,e3) = e1
| op(e0,e3) = e2
| op(e0,e3) = e3
| op(e0,e3) = e4 ),
inference(resolve,[$cnf( $equal(op(e0,e3),e0) )],[refute_2_442,refute_2_446]) ).
cnf(refute_2_448,plain,
op(e0,e3) != op(e0,e4),
inference(canonicalize,[],[normalize_2_71]) ).
cnf(refute_2_449,plain,
( op(e0,e3) != e2
| op(e0,e4) != e2
| op(e0,e3) = op(e0,e4) ),
introduced(tautology,[equality,[$cnf( ~ $equal(op(e0,e3),op(e0,e4)) ),[1],$fot(e2)]]) ).
cnf(refute_2_450,plain,
( op(e0,e3) != e2
| op(e0,e3) = op(e0,e4) ),
inference(resolve,[$cnf( $equal(op(e0,e4),e2) )],[refute_2_241,refute_2_449]) ).
cnf(refute_2_451,plain,
op(e0,e3) != e2,
inference(resolve,[$cnf( $equal(op(e0,e3),op(e0,e4)) )],[refute_2_450,refute_2_448]) ).
cnf(refute_2_452,plain,
( op(e0,e3) = e1
| op(e0,e3) = e3
| op(e0,e3) = e4 ),
inference(resolve,[$cnf( $equal(op(e0,e3),e2) )],[refute_2_447,refute_2_451]) ).
cnf(refute_2_453,plain,
op(e0,e2) != op(e0,e3),
inference(canonicalize,[],[normalize_2_72]) ).
cnf(refute_2_454,plain,
( e3 != op(e0,e3)
| op(e0,e2) != e3
| op(e0,e2) = op(e0,e3) ),
introduced(tautology,[equality,[$cnf( $equal(op(e0,e2),e3) ),[1],$fot(op(e0,e3))]]) ).
cnf(refute_2_455,plain,
( e3 != op(e0,e3)
| op(e0,e2) = op(e0,e3) ),
inference(resolve,[$cnf( $equal(op(e0,e2),e3) )],[refute_2_330,refute_2_454]) ).
cnf(refute_2_456,plain,
e3 != op(e0,e3),
inference(resolve,[$cnf( $equal(op(e0,e2),op(e0,e3)) )],[refute_2_455,refute_2_453]) ).
cnf(refute_2_457,plain,
( op(e0,e3) != e3
| e3 = op(e0,e3) ),
inference(subst,[],[refute_2_12:[bind(X,$fot(op(e0,e3))),bind(Y,$fot(e3))]]) ).
cnf(refute_2_458,plain,
op(e0,e3) != e3,
inference(resolve,[$cnf( $equal(e3,op(e0,e3)) )],[refute_2_457,refute_2_456]) ).
cnf(refute_2_459,plain,
( op(e0,e3) = e1
| op(e0,e3) = e4 ),
inference(resolve,[$cnf( $equal(op(e0,e3),e3) )],[refute_2_452,refute_2_458]) ).
cnf(refute_2_460,plain,
op(e0,e3) != op(e3,e3),
inference(canonicalize,[],[normalize_2_73]) ).
cnf(refute_2_461,plain,
( op(e0,e3) != e4
| op(e3,e3) != e4
| op(e0,e3) = op(e3,e3) ),
introduced(tautology,[equality,[$cnf( ~ $equal(op(e0,e3),op(e3,e3)) ),[1],$fot(e4)]]) ).
cnf(refute_2_462,plain,
( op(e0,e3) != e4
| op(e0,e3) = op(e3,e3) ),
inference(resolve,[$cnf( $equal(op(e3,e3),e4) )],[refute_2_400,refute_2_461]) ).
cnf(refute_2_463,plain,
op(e0,e3) != e4,
inference(resolve,[$cnf( $equal(op(e0,e3),op(e3,e3)) )],[refute_2_462,refute_2_460]) ).
cnf(refute_2_464,plain,
op(e0,e3) = e1,
inference(resolve,[$cnf( $equal(op(e0,e3),e4) )],[refute_2_459,refute_2_463]) ).
cnf(refute_2_465,plain,
op(e3,op(e0,e3)) = op(e3,op(e0,e3)),
introduced(tautology,[refl,[$fot(op(e3,op(e0,e3)))]]) ).
cnf(refute_2_466,plain,
( op(e0,e3) != e1
| op(e3,op(e0,e3)) != op(e3,op(e0,e3))
| op(e3,op(e0,e3)) = op(e3,e1) ),
introduced(tautology,[equality,[$cnf( $equal(op(e3,op(e0,e3)),op(e3,op(e0,e3))) ),[1,1],$fot(e1)]]) ).
cnf(refute_2_467,plain,
( op(e0,e3) != e1
| op(e3,op(e0,e3)) = op(e3,e1) ),
inference(resolve,[$cnf( $equal(op(e3,op(e0,e3)),op(e3,op(e0,e3))) )],[refute_2_465,refute_2_466]) ).
cnf(refute_2_468,plain,
op(e3,op(e0,e3)) = op(e3,e1),
inference(resolve,[$cnf( $equal(op(e0,e3),e1) )],[refute_2_464,refute_2_467]) ).
cnf(refute_2_469,plain,
( op(e3,e1) != e3
| op(e3,op(e0,e3)) != op(e3,e1)
| op(e3,op(e0,e3)) = e3 ),
inference(subst,[],[refute_2_52:[bind(X,$fot(op(e3,op(e0,e3)))),bind(Y,$fot(op(e3,e1))),bind(Z,$fot(e3))]]) ).
cnf(refute_2_470,plain,
( op(e3,e1) != e3
| op(e3,op(e0,e3)) = e3 ),
inference(resolve,[$cnf( $equal(op(e3,op(e0,e3)),op(e3,e1)) )],[refute_2_468,refute_2_469]) ).
cnf(refute_2_471,plain,
op(e3,op(e0,e3)) = e3,
inference(resolve,[$cnf( $equal(op(e3,e1),e3) )],[refute_2_441,refute_2_470]) ).
cnf(refute_2_472,plain,
( op(e3,op(e0,e3)) != e0
| op(e3,op(e0,e3)) != e3
| e3 = e0 ),
introduced(tautology,[equality,[$cnf( $equal(op(e3,op(e0,e3)),e0) ),[0],$fot(e3)]]) ).
cnf(refute_2_473,plain,
( op(e3,op(e0,e3)) != e0
| e3 = e0 ),
inference(resolve,[$cnf( $equal(op(e3,op(e0,e3)),e3) )],[refute_2_471,refute_2_472]) ).
cnf(refute_2_474,plain,
e3 = e0,
inference(resolve,[$cnf( $equal(op(e3,op(e0,e3)),e0) )],[refute_2_433,refute_2_473]) ).
cnf(refute_2_475,plain,
op(e2,e3) = op(e2,e3),
introduced(tautology,[refl,[$fot(op(e2,e3))]]) ).
cnf(refute_2_476,plain,
( e3 != e0
| op(e2,e3) != op(e2,e3)
| op(e2,e3) = op(e2,e0) ),
introduced(tautology,[equality,[$cnf( $equal(op(e2,e3),op(e2,e3)) ),[1,1],$fot(e0)]]) ).
cnf(refute_2_477,plain,
( e3 != e0
| op(e2,e3) = op(e2,e0) ),
inference(resolve,[$cnf( $equal(op(e2,e3),op(e2,e3)) )],[refute_2_475,refute_2_476]) ).
cnf(refute_2_478,plain,
op(e2,e3) = op(e2,e0),
inference(resolve,[$cnf( $equal(e3,e0) )],[refute_2_474,refute_2_477]) ).
cnf(refute_2_479,plain,
( op(e2,e0) != e1
| op(e2,e3) != op(e2,e0)
| op(e2,e3) = e1 ),
inference(subst,[],[refute_2_52:[bind(X,$fot(op(e2,e3))),bind(Y,$fot(op(e2,e0))),bind(Z,$fot(e1))]]) ).
cnf(refute_2_480,plain,
( op(e2,e0) != e1
| op(e2,e3) = e1 ),
inference(resolve,[$cnf( $equal(op(e2,e3),op(e2,e0)) )],[refute_2_478,refute_2_479]) ).
cnf(refute_2_481,plain,
op(e2,e3) = e1,
inference(resolve,[$cnf( $equal(op(e2,e0),e1) )],[refute_2_167,refute_2_480]) ).
cnf(refute_2_482,plain,
( op(e2,e3) != e0
| op(e2,e3) != e1
| e1 = e0 ),
introduced(tautology,[equality,[$cnf( $equal(op(e2,e3),e0) ),[0],$fot(e1)]]) ).
cnf(refute_2_483,plain,
( op(e2,e3) != e0
| e1 = e0 ),
inference(resolve,[$cnf( $equal(op(e2,e3),e1) )],[refute_2_481,refute_2_482]) ).
cnf(refute_2_484,plain,
e1 = e0,
inference(resolve,[$cnf( $equal(op(e2,e3),e0) )],[refute_2_141,refute_2_483]) ).
cnf(refute_2_485,plain,
( e1 != e0
| op(e2,e0) != e1
| op(e2,e0) = e0 ),
inference(subst,[],[refute_2_52:[bind(X,$fot(op(e2,e0))),bind(Y,$fot(e1)),bind(Z,$fot(e0))]]) ).
cnf(refute_2_486,plain,
( e1 != e0
| op(e2,e0) = e0 ),
inference(resolve,[$cnf( $equal(op(e2,e0),e1) )],[refute_2_167,refute_2_485]) ).
cnf(refute_2_487,plain,
op(e2,e0) = e0,
inference(resolve,[$cnf( $equal(e1,e0) )],[refute_2_484,refute_2_486]) ).
cnf(refute_2_488,plain,
op(e2,e1) = op(e2,e1),
introduced(tautology,[refl,[$fot(op(e2,e1))]]) ).
cnf(refute_2_489,plain,
( e1 != e0
| op(e2,e1) != op(e2,e1)
| op(e2,e1) = op(e2,e0) ),
introduced(tautology,[equality,[$cnf( $equal(op(e2,e1),op(e2,e1)) ),[1,1],$fot(e0)]]) ).
cnf(refute_2_490,plain,
( e1 != e0
| op(e2,e1) = op(e2,e0) ),
inference(resolve,[$cnf( $equal(op(e2,e1),op(e2,e1)) )],[refute_2_488,refute_2_489]) ).
cnf(refute_2_491,plain,
op(e2,e1) = op(e2,e0),
inference(resolve,[$cnf( $equal(e1,e0) )],[refute_2_484,refute_2_490]) ).
cnf(refute_2_492,plain,
( op(e2,e0) != e0
| op(e2,e1) != op(e2,e0)
| op(e2,e1) = e0 ),
inference(subst,[],[refute_2_52:[bind(X,$fot(op(e2,e1))),bind(Y,$fot(op(e2,e0))),bind(Z,$fot(e0))]]) ).
cnf(refute_2_493,plain,
( op(e2,e0) != e0
| op(e2,e1) = e0 ),
inference(resolve,[$cnf( $equal(op(e2,e1),op(e2,e0)) )],[refute_2_491,refute_2_492]) ).
cnf(refute_2_494,plain,
op(e2,e1) = e0,
inference(resolve,[$cnf( $equal(op(e2,e0),e0) )],[refute_2_487,refute_2_493]) ).
cnf(refute_2_495,plain,
( op(e2,e1) != e0
| op(e2,e1) != e2
| e0 = e2 ),
introduced(tautology,[equality,[$cnf( $equal(op(e2,e1),e2) ),[0],$fot(e0)]]) ).
cnf(refute_2_496,plain,
( op(e2,e1) != e2
| e0 = e2 ),
inference(resolve,[$cnf( $equal(op(e2,e1),e0) )],[refute_2_494,refute_2_495]) ).
cnf(refute_2_497,plain,
e0 = e2,
inference(resolve,[$cnf( $equal(op(e2,e1),e2) )],[refute_2_109,refute_2_496]) ).
cnf(refute_2_498,plain,
$false,
inference(resolve,[$cnf( $equal(e0,e2) )],[refute_2_497,refute_2_123]) ).
fof(negate_3_0,plain,
~ ( ( ( ( op(e0,op(e0,e0)) != e0
& op(e0,op(e0,e0)) = e0 )
| ( op(e1,op(e1,e0)) != e0
& op(e0,op(e1,e0)) = e1 )
| ( op(e2,op(e2,e0)) != e0
& op(e0,op(e2,e0)) = e2 )
| ( op(e3,op(e3,e0)) != e0
& op(e0,op(e3,e0)) = e3 )
| ( op(e4,op(e4,e0)) != e0
& op(e0,op(e4,e0)) = e4 ) )
& ( ( op(e0,op(e0,e1)) != e1
& op(e1,op(e0,e1)) = e0 )
| ( op(e1,op(e1,e1)) != e1
& op(e1,op(e1,e1)) = e1 )
| ( op(e2,op(e2,e1)) != e1
& op(e1,op(e2,e1)) = e2 )
| ( op(e3,op(e3,e1)) != e1
& op(e1,op(e3,e1)) = e3 )
| ( op(e4,op(e4,e1)) != e1
& op(e1,op(e4,e1)) = e4 ) )
& ( ( op(e0,op(e0,e2)) != e2
& op(e2,op(e0,e2)) = e0 )
| ( op(e1,op(e1,e2)) != e2
& op(e2,op(e1,e2)) = e1 )
| ( op(e2,op(e2,e2)) != e2
& op(e2,op(e2,e2)) = e2 )
| ( op(e3,op(e3,e2)) != e2
& op(e2,op(e3,e2)) = e3 )
| ( op(e4,op(e4,e2)) != e2
& op(e2,op(e4,e2)) = e4 ) )
& ( ( op(e0,op(e0,e3)) != e3
& op(e3,op(e0,e3)) = e0 )
| ( op(e1,op(e1,e3)) != e3
& op(e3,op(e1,e3)) = e1 )
| ( op(e2,op(e2,e3)) != e3
& op(e3,op(e2,e3)) = e2 )
| ( op(e3,op(e3,e3)) != e3
& op(e3,op(e3,e3)) = e3 )
| ( op(e4,op(e4,e3)) != e3
& op(e3,op(e4,e3)) = e4 ) )
& ( ( op(e0,op(e0,e4)) != e4
& op(e4,op(e0,e4)) = e0 )
| ( op(e1,op(e1,e4)) != e4
& op(e4,op(e1,e4)) = e1 )
| ( op(e2,op(e2,e4)) != e4
& op(e4,op(e2,e4)) = e2 )
| ( op(e3,op(e3,e4)) != e4
& op(e4,op(e3,e4)) = e3 )
| ( op(e4,op(e4,e4)) != e4
& op(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(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_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(e0,e4) != op(e4,e4),
inference(conjunct,[],[normalize_3_2]) ).
fof(normalize_3_4,plain,
( e0 = op(op(e2,e2),op(e2,e2))
& e1 = op(op(e2,op(e2,e2)),op(e2,e2))
& e3 = op(e2,op(e2,e2))
& e4 = op(e2,e2) ),
inference(canonicalize,[],[ax6]) ).
fof(normalize_3_5,plain,
e0 = op(op(e2,e2),op(e2,e2)),
inference(conjunct,[],[normalize_3_4]) ).
fof(normalize_3_6,plain,
e4 = op(e2,e2),
inference(conjunct,[],[normalize_3_4]) ).
fof(normalize_3_7,plain,
op(e0,e4) != op(e3,e4),
inference(conjunct,[],[normalize_3_2]) ).
fof(normalize_3_8,plain,
e1 = op(op(e2,op(e2,e2)),op(e2,e2)),
inference(conjunct,[],[normalize_3_4]) ).
fof(normalize_3_9,plain,
e3 = op(e2,op(e2,e2)),
inference(conjunct,[],[normalize_3_4]) ).
fof(normalize_3_10,plain,
op(e0,e3) != op(e0,e4),
inference(conjunct,[],[normalize_3_2]) ).
fof(normalize_3_11,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,op(e0,e1)) != e1
& op(e1,op(e0,e1)) = e0 )
| ( op(e2,op(e2,e1)) != e1
& op(e1,op(e2,e1)) = e2 )
| ( op(e3,op(e3,e1)) != e1
& op(e1,op(e3,e1)) = e3 )
| ( op(e4,op(e4,e1)) != e1
& op(e1,op(e4,e1)) = e4 ) )
& ( ( op(e0,op(e0,e2)) != e2
& op(e2,op(e0,e2)) = e0 )
| ( op(e1,op(e1,e2)) != e2
& op(e2,op(e1,e2)) = e1 )
| ( op(e3,op(e3,e2)) != e2
& op(e2,op(e3,e2)) = e3 )
| ( op(e4,op(e4,e2)) != e2
& op(e2,op(e4,e2)) = e4 ) )
& ( ( op(e0,op(e0,e3)) != e3
& op(e3,op(e0,e3)) = e0 )
| ( op(e1,op(e1,e3)) != e3
& op(e3,op(e1,e3)) = e1 )
| ( op(e2,op(e2,e3)) != e3
& op(e3,op(e2,e3)) = e2 )
| ( op(e4,op(e4,e3)) != e3
& op(e3,op(e4,e3)) = e4 ) )
& ( ( op(e0,op(e0,e4)) != e4
& op(e4,op(e0,e4)) = e0 )
| ( op(e1,op(e1,e4)) != e4
& op(e4,op(e1,e4)) = e1 )
| ( op(e2,op(e2,e4)) != e4
& op(e4,op(e2,e4)) = e2 )
| ( op(e3,op(e3,e4)) != e4
& op(e4,op(e3,e4)) = e3 ) )
& ( ( op(e1,op(e1,e0)) != e0
& op(e0,op(e1,e0)) = e1 )
| ( op(e2,op(e2,e0)) != e0
& op(e0,op(e2,e0)) = e2 )
| ( op(e3,op(e3,e0)) != e0
& op(e0,op(e3,e0)) = e3 )
| ( op(e4,op(e4,e0)) != e0
& op(e0,op(e4,e0)) = e4 ) ) ),
inference(canonicalize,[],[negate_3_0]) ).
fof(normalize_3_12,plain,
op(op(e0,e3),e3) = e0,
inference(conjunct,[],[normalize_3_11]) ).
fof(normalize_3_13,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_14,plain,
op(e0,e3) != op(e2,e3),
inference(conjunct,[],[normalize_3_2]) ).
fof(normalize_3_15,plain,
( ( op(e0,e0) = e0
| op(e0,e1) = e0
| op(e0,e2) = e0
| op(e0,e3) = e0
| op(e0,e4) = e0 )
& ( op(e0,e0) = e0
| op(e1,e0) = e0
| op(e2,e0) = e0
| op(e3,e0) = e0
| op(e4,e0) = e0 )
& ( op(e0,e0) = e1
| op(e0,e1) = e1
| op(e0,e2) = e1
| op(e0,e3) = e1
| op(e0,e4) = e1 )
& ( op(e0,e0) = e1
| op(e1,e0) = e1
| op(e2,e0) = e1
| op(e3,e0) = e1
| op(e4,e0) = e1 )
& ( op(e0,e0) = e2
| op(e0,e1) = e2
| op(e0,e2) = e2
| op(e0,e3) = e2
| op(e0,e4) = e2 )
& ( op(e0,e0) = e2
| op(e1,e0) = e2
| op(e2,e0) = e2
| op(e3,e0) = e2
| op(e4,e0) = e2 )
& ( op(e0,e0) = e3
| op(e0,e1) = e3
| op(e0,e2) = e3
| op(e0,e3) = e3
| op(e0,e4) = e3 )
& ( op(e0,e0) = e3
| op(e1,e0) = e3
| op(e2,e0) = e3
| op(e3,e0) = e3
| op(e4,e0) = e3 )
& ( op(e0,e0) = e4
| op(e0,e1) = e4
| op(e0,e2) = e4
| op(e0,e3) = e4
| op(e0,e4) = e4 )
& ( op(e0,e0) = e4
| op(e1,e0) = e4
| op(e2,e0) = e4
| op(e3,e0) = e4
| op(e4,e0) = e4 )
& ( op(e0,e1) = e0
| op(e1,e1) = e0
| op(e2,e1) = e0
| op(e3,e1) = e0
| op(e4,e1) = e0 )
& ( op(e0,e1) = e1
| op(e1,e1) = e1
| op(e2,e1) = e1
| op(e3,e1) = e1
| op(e4,e1) = e1 )
& ( op(e0,e1) = e2
| op(e1,e1) = e2
| op(e2,e1) = e2
| op(e3,e1) = e2
| op(e4,e1) = e2 )
& ( op(e0,e1) = e3
| op(e1,e1) = e3
| op(e2,e1) = e3
| op(e3,e1) = e3
| op(e4,e1) = e3 )
& ( op(e0,e1) = e4
| op(e1,e1) = e4
| op(e2,e1) = e4
| op(e3,e1) = e4
| op(e4,e1) = e4 )
& ( op(e0,e2) = e0
| op(e1,e2) = e0
| op(e2,e2) = e0
| op(e3,e2) = e0
| op(e4,e2) = e0 )
& ( op(e0,e2) = e1
| op(e1,e2) = e1
| op(e2,e2) = e1
| op(e3,e2) = e1
| op(e4,e2) = e1 )
& ( op(e0,e2) = e2
| op(e1,e2) = e2
| op(e2,e2) = e2
| op(e3,e2) = e2
| op(e4,e2) = e2 )
& ( op(e0,e2) = e3
| op(e1,e2) = e3
| op(e2,e2) = e3
| op(e3,e2) = e3
| op(e4,e2) = e3 )
& ( op(e0,e2) = e4
| op(e1,e2) = e4
| op(e2,e2) = e4
| op(e3,e2) = e4
| op(e4,e2) = e4 )
& ( op(e0,e3) = e0
| op(e1,e3) = e0
| op(e2,e3) = e0
| op(e3,e3) = e0
| op(e4,e3) = e0 )
& ( op(e0,e3) = e1
| op(e1,e3) = e1
| op(e2,e3) = e1
| op(e3,e3) = e1
| op(e4,e3) = e1 )
& ( op(e0,e3) = e2
| op(e1,e3) = e2
| op(e2,e3) = e2
| op(e3,e3) = e2
| op(e4,e3) = e2 )
& ( op(e0,e3) = e3
| op(e1,e3) = e3
| op(e2,e3) = e3
| op(e3,e3) = e3
| op(e4,e3) = e3 )
& ( op(e0,e3) = e4
| op(e1,e3) = e4
| op(e2,e3) = e4
| op(e3,e3) = e4
| op(e4,e3) = e4 )
& ( op(e0,e4) = e0
| op(e1,e4) = e0
| op(e2,e4) = e0
| op(e3,e4) = e0
| op(e4,e4) = e0 )
& ( op(e0,e4) = e1
| op(e1,e4) = e1
| op(e2,e4) = e1
| op(e3,e4) = e1
| op(e4,e4) = e1 )
& ( op(e0,e4) = e2
| op(e1,e4) = e2
| op(e2,e4) = e2
| op(e3,e4) = e2
| op(e4,e4) = e2 )
& ( op(e0,e4) = e3
| op(e1,e4) = e3
| op(e2,e4) = e3
| op(e3,e4) = e3
| op(e4,e4) = e3 )
& ( op(e0,e4) = e4
| op(e1,e4) = e4
| op(e2,e4) = e4
| op(e3,e4) = e4
| op(e4,e4) = e4 )
& ( op(e1,e0) = e0
| op(e1,e1) = e0
| op(e1,e2) = e0
| op(e1,e3) = e0
| op(e1,e4) = e0 )
& ( op(e1,e0) = e1
| op(e1,e1) = e1
| op(e1,e2) = e1
| op(e1,e3) = e1
| op(e1,e4) = e1 )
& ( op(e1,e0) = e2
| op(e1,e1) = e2
| op(e1,e2) = e2
| op(e1,e3) = e2
| op(e1,e4) = e2 )
& ( op(e1,e0) = e3
| op(e1,e1) = e3
| op(e1,e2) = e3
| op(e1,e3) = e3
| op(e1,e4) = e3 )
& ( op(e1,e0) = e4
| op(e1,e1) = e4
| op(e1,e2) = e4
| op(e1,e3) = e4
| op(e1,e4) = e4 )
& ( op(e2,e0) = e0
| op(e2,e1) = e0
| op(e2,e2) = e0
| op(e2,e3) = e0
| op(e2,e4) = e0 )
& ( op(e2,e0) = e1
| op(e2,e1) = e1
| op(e2,e2) = e1
| op(e2,e3) = e1
| op(e2,e4) = e1 )
& ( op(e2,e0) = e2
| op(e2,e1) = e2
| op(e2,e2) = e2
| op(e2,e3) = e2
| op(e2,e4) = e2 )
& ( op(e2,e0) = e3
| op(e2,e1) = e3
| op(e2,e2) = e3
| op(e2,e3) = e3
| op(e2,e4) = e3 )
& ( op(e2,e0) = e4
| op(e2,e1) = e4
| op(e2,e2) = e4
| op(e2,e3) = e4
| op(e2,e4) = e4 )
& ( op(e3,e0) = e0
| op(e3,e1) = e0
| op(e3,e2) = e0
| op(e3,e3) = e0
| op(e3,e4) = e0 )
& ( op(e3,e0) = e1
| op(e3,e1) = e1
| op(e3,e2) = e1
| op(e3,e3) = e1
| op(e3,e4) = e1 )
& ( op(e3,e0) = e2
| op(e3,e1) = e2
| op(e3,e2) = e2
| op(e3,e3) = e2
| op(e3,e4) = e2 )
& ( op(e3,e0) = e3
| op(e3,e1) = e3
| op(e3,e2) = e3
| op(e3,e3) = e3
| op(e3,e4) = e3 )
& ( op(e3,e0) = e4
| op(e3,e1) = e4
| op(e3,e2) = e4
| op(e3,e3) = e4
| op(e3,e4) = e4 )
& ( op(e4,e0) = e0
| op(e4,e1) = e0
| op(e4,e2) = e0
| op(e4,e3) = e0
| op(e4,e4) = e0 )
& ( op(e4,e0) = e1
| op(e4,e1) = e1
| op(e4,e2) = e1
| op(e4,e3) = e1
| op(e4,e4) = e1 )
& ( op(e4,e0) = e2
| op(e4,e1) = e2
| op(e4,e2) = e2
| op(e4,e3) = e2
| op(e4,e4) = e2 )
& ( op(e4,e0) = e3
| op(e4,e1) = e3
| op(e4,e2) = e3
| op(e4,e3) = e3
| op(e4,e4) = e3 )
& ( op(e4,e0) = e4
| op(e4,e1) = e4
| op(e4,e2) = e4
| op(e4,e3) = e4
| op(e4,e4) = e4 ) ),
inference(canonicalize,[],[ax3]) ).
fof(normalize_3_16,plain,
( op(e2,e0) = e0
| op(e2,e1) = e0
| op(e2,e2) = e0
| op(e2,e3) = e0
| op(e2,e4) = e0 ),
inference(conjunct,[],[normalize_3_15]) ).
fof(normalize_3_17,plain,
( e0 != e1
& e0 != e2
& e0 != e3
& e0 != e4
& e1 != e2
& e1 != e3
& e1 != e4
& e2 != e3
& e2 != e4
& e3 != e4 ),
inference(canonicalize,[],[ax5]) ).
fof(normalize_3_18,plain,
e0 != e4,
inference(conjunct,[],[normalize_3_17]) ).
fof(normalize_3_19,plain,
e0 != e3,
inference(conjunct,[],[normalize_3_17]) ).
fof(normalize_3_20,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_21,plain,
op(e2,unit) = e2,
inference(conjunct,[],[normalize_3_20]) ).
fof(normalize_3_22,plain,
op(op(e0,e3),e0) != e3,
inference(conjunct,[],[normalize_3_11]) ).
fof(normalize_3_23,plain,
op(unit,e3) = e3,
inference(conjunct,[],[normalize_3_20]) ).
fof(normalize_3_24,plain,
op(unit,e4) = e4,
inference(conjunct,[],[normalize_3_20]) ).
fof(normalize_3_25,plain,
( unit = e0
| unit = e1
| unit = e2
| unit = e3
| unit = e4 ),
inference(conjunct,[],[normalize_3_20]) ).
fof(normalize_3_26,plain,
e3 != e4,
inference(conjunct,[],[normalize_3_17]) ).
fof(normalize_3_27,plain,
e1 != e4,
inference(conjunct,[],[normalize_3_17]) ).
fof(normalize_3_28,plain,
op(e3,unit) = e3,
inference(conjunct,[],[normalize_3_20]) ).
fof(normalize_3_29,plain,
e0 != e2,
inference(conjunct,[],[normalize_3_17]) ).
fof(normalize_3_30,plain,
op(e1,e0) != op(e2,e0),
inference(conjunct,[],[normalize_3_2]) ).
fof(normalize_3_31,plain,
op(unit,e0) = e0,
inference(conjunct,[],[normalize_3_20]) ).
fof(normalize_3_32,plain,
op(e0,e3) != op(e1,e3),
inference(conjunct,[],[normalize_3_2]) ).
fof(normalize_3_33,plain,
op(e0,e0) != op(e0,e3),
inference(conjunct,[],[normalize_3_2]) ).
fof(normalize_3_34,plain,
( op(e0,e0) = e4
| op(e0,e1) = e4
| op(e0,e2) = e4
| op(e0,e3) = e4
| op(e0,e4) = e4 ),
inference(conjunct,[],[normalize_3_15]) ).
fof(normalize_3_35,plain,
op(e0,e2) != op(e2,e2),
inference(conjunct,[],[normalize_3_2]) ).
fof(normalize_3_36,plain,
op(e0,unit) = e0,
inference(conjunct,[],[normalize_3_20]) ).
fof(normalize_3_37,plain,
op(e0,e4) != op(e1,e4),
inference(conjunct,[],[normalize_3_2]) ).
fof(normalize_3_38,plain,
op(e4,e3) != op(e4,e4),
inference(conjunct,[],[normalize_3_2]) ).
fof(normalize_3_39,plain,
op(e0,e4) != op(e2,e4),
inference(conjunct,[],[normalize_3_2]) ).
cnf(refute_3_0,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_1]) ).
cnf(refute_3_1,plain,
op(e0,e4) != op(e4,e4),
inference(canonicalize,[],[normalize_3_3]) ).
cnf(refute_3_2,plain,
e0 = op(op(e2,e2),op(e2,e2)),
inference(canonicalize,[],[normalize_3_5]) ).
cnf(refute_3_3,plain,
e4 = op(e2,e2),
inference(canonicalize,[],[normalize_3_6]) ).
cnf(refute_3_4,plain,
X = X,
introduced(tautology,[refl,[$fot(X)]]) ).
cnf(refute_3_5,plain,
( X != X
| X != Y
| Y = X ),
introduced(tautology,[equality,[$cnf( $equal(X,X) ),[0],$fot(Y)]]) ).
cnf(refute_3_6,plain,
( X != Y
| Y = X ),
inference(resolve,[$cnf( $equal(X,X) )],[refute_3_4,refute_3_5]) ).
cnf(refute_3_7,plain,
( e4 != op(e2,e2)
| op(e2,e2) = e4 ),
inference(subst,[],[refute_3_6:[bind(X,$fot(e4)),bind(Y,$fot(op(e2,e2)))]]) ).
cnf(refute_3_8,plain,
op(e2,e2) = e4,
inference(resolve,[$cnf( $equal(e4,op(e2,e2)) )],[refute_3_3,refute_3_7]) ).
cnf(refute_3_9,plain,
op(e4,op(e2,e2)) = op(e4,op(e2,e2)),
introduced(tautology,[refl,[$fot(op(e4,op(e2,e2)))]]) ).
cnf(refute_3_10,plain,
( op(e2,e2) != e4
| op(e4,op(e2,e2)) != op(e4,op(e2,e2))
| op(e4,op(e2,e2)) = op(e4,e4) ),
introduced(tautology,[equality,[$cnf( $equal(op(e4,op(e2,e2)),op(e4,op(e2,e2))) ),[1,1],$fot(e4)]]) ).
cnf(refute_3_11,plain,
( op(e2,e2) != e4
| op(e4,op(e2,e2)) = op(e4,e4) ),
inference(resolve,[$cnf( $equal(op(e4,op(e2,e2)),op(e4,op(e2,e2))) )],[refute_3_9,refute_3_10]) ).
cnf(refute_3_12,plain,
op(e4,op(e2,e2)) = op(e4,e4),
inference(resolve,[$cnf( $equal(op(e2,e2),e4) )],[refute_3_8,refute_3_11]) ).
cnf(refute_3_13,plain,
op(op(e2,e2),op(e2,e2)) = op(op(e2,e2),op(e2,e2)),
introduced(tautology,[refl,[$fot(op(op(e2,e2),op(e2,e2)))]]) ).
cnf(refute_3_14,plain,
( op(e2,e2) != e4
| op(op(e2,e2),op(e2,e2)) != op(op(e2,e2),op(e2,e2))
| op(op(e2,e2),op(e2,e2)) = op(e4,op(e2,e2)) ),
introduced(tautology,[equality,[$cnf( $equal(op(op(e2,e2),op(e2,e2)),op(op(e2,e2),op(e2,e2))) ),[1,0],$fot(e4)]]) ).
cnf(refute_3_15,plain,
( op(e2,e2) != e4
| op(op(e2,e2),op(e2,e2)) = op(e4,op(e2,e2)) ),
inference(resolve,[$cnf( $equal(op(op(e2,e2),op(e2,e2)),op(op(e2,e2),op(e2,e2))) )],[refute_3_13,refute_3_14]) ).
cnf(refute_3_16,plain,
op(op(e2,e2),op(e2,e2)) = op(e4,op(e2,e2)),
inference(resolve,[$cnf( $equal(op(e2,e2),e4) )],[refute_3_8,refute_3_15]) ).
cnf(refute_3_17,plain,
( Y != X
| Y != Z
| X = Z ),
introduced(tautology,[equality,[$cnf( $equal(Y,Z) ),[0],$fot(X)]]) ).
cnf(refute_3_18,plain,
( X != Y
| Y != Z
| X = Z ),
inference(resolve,[$cnf( $equal(Y,X) )],[refute_3_6,refute_3_17]) ).
cnf(refute_3_19,plain,
( op(e4,op(e2,e2)) != op(e4,e4)
| op(op(e2,e2),op(e2,e2)) != op(e4,op(e2,e2))
| op(op(e2,e2),op(e2,e2)) = op(e4,e4) ),
inference(subst,[],[refute_3_18:[bind(X,$fot(op(op(e2,e2),op(e2,e2)))),bind(Y,$fot(op(e4,op(e2,e2)))),bind(Z,$fot(op(e4,e4)))]]) ).
cnf(refute_3_20,plain,
( op(e4,op(e2,e2)) != op(e4,e4)
| op(op(e2,e2),op(e2,e2)) = op(e4,e4) ),
inference(resolve,[$cnf( $equal(op(op(e2,e2),op(e2,e2)),op(e4,op(e2,e2))) )],[refute_3_16,refute_3_19]) ).
cnf(refute_3_21,plain,
op(op(e2,e2),op(e2,e2)) = op(e4,e4),
inference(resolve,[$cnf( $equal(op(e4,op(e2,e2)),op(e4,e4)) )],[refute_3_12,refute_3_20]) ).
cnf(refute_3_22,plain,
( e0 != op(op(e2,e2),op(e2,e2))
| op(op(e2,e2),op(e2,e2)) != op(e4,e4)
| e0 = op(e4,e4) ),
introduced(tautology,[equality,[$cnf( ~ $equal(e0,op(e4,e4)) ),[0],$fot(op(op(e2,e2),op(e2,e2)))]]) ).
cnf(refute_3_23,plain,
( e0 != op(op(e2,e2),op(e2,e2))
| e0 = op(e4,e4) ),
inference(resolve,[$cnf( $equal(op(op(e2,e2),op(e2,e2)),op(e4,e4)) )],[refute_3_21,refute_3_22]) ).
cnf(refute_3_24,plain,
e0 = op(e4,e4),
inference(resolve,[$cnf( $equal(e0,op(op(e2,e2),op(e2,e2))) )],[refute_3_2,refute_3_23]) ).
cnf(refute_3_25,plain,
( e0 != op(e4,e4)
| op(e4,e4) = e0 ),
inference(subst,[],[refute_3_6:[bind(X,$fot(e0)),bind(Y,$fot(op(e4,e4)))]]) ).
cnf(refute_3_26,plain,
op(e4,e4) = e0,
inference(resolve,[$cnf( $equal(e0,op(e4,e4)) )],[refute_3_24,refute_3_25]) ).
cnf(refute_3_27,plain,
( op(e0,e4) != e0
| op(e4,e4) != e0
| op(e0,e4) = op(e4,e4) ),
introduced(tautology,[equality,[$cnf( ~ $equal(op(e0,e4),op(e4,e4)) ),[1],$fot(e0)]]) ).
cnf(refute_3_28,plain,
( op(e0,e4) != e0
| op(e0,e4) = op(e4,e4) ),
inference(resolve,[$cnf( $equal(op(e4,e4),e0) )],[refute_3_26,refute_3_27]) ).
cnf(refute_3_29,plain,
op(e0,e4) != e0,
inference(resolve,[$cnf( $equal(op(e0,e4),op(e4,e4)) )],[refute_3_28,refute_3_1]) ).
cnf(refute_3_30,plain,
( op(e0,e4) = e1
| op(e0,e4) = e2
| op(e0,e4) = e3
| op(e0,e4) = e4 ),
inference(resolve,[$cnf( $equal(op(e0,e4),e0) )],[refute_3_0,refute_3_29]) ).
cnf(refute_3_31,plain,
op(e0,e4) != op(e3,e4),
inference(canonicalize,[],[normalize_3_7]) ).
cnf(refute_3_32,plain,
e1 = op(op(e2,op(e2,e2)),op(e2,e2)),
inference(canonicalize,[],[normalize_3_8]) ).
cnf(refute_3_33,plain,
op(e3,op(e2,e2)) = op(e3,op(e2,e2)),
introduced(tautology,[refl,[$fot(op(e3,op(e2,e2)))]]) ).
cnf(refute_3_34,plain,
( op(e2,e2) != e4
| op(e3,op(e2,e2)) != op(e3,op(e2,e2))
| op(e3,op(e2,e2)) = op(e3,e4) ),
introduced(tautology,[equality,[$cnf( $equal(op(e3,op(e2,e2)),op(e3,op(e2,e2))) ),[1,1],$fot(e4)]]) ).
cnf(refute_3_35,plain,
( op(e2,e2) != e4
| op(e3,op(e2,e2)) = op(e3,e4) ),
inference(resolve,[$cnf( $equal(op(e3,op(e2,e2)),op(e3,op(e2,e2))) )],[refute_3_33,refute_3_34]) ).
cnf(refute_3_36,plain,
op(e3,op(e2,e2)) = op(e3,e4),
inference(resolve,[$cnf( $equal(op(e2,e2),e4) )],[refute_3_8,refute_3_35]) ).
cnf(refute_3_37,plain,
e3 = op(e2,op(e2,e2)),
inference(canonicalize,[],[normalize_3_9]) ).
cnf(refute_3_38,plain,
( e3 != op(e2,op(e2,e2))
| op(e2,op(e2,e2)) = e3 ),
inference(subst,[],[refute_3_6:[bind(X,$fot(e3)),bind(Y,$fot(op(e2,op(e2,e2))))]]) ).
cnf(refute_3_39,plain,
op(e2,op(e2,e2)) = e3,
inference(resolve,[$cnf( $equal(e3,op(e2,op(e2,e2))) )],[refute_3_37,refute_3_38]) ).
cnf(refute_3_40,plain,
op(op(e2,op(e2,e2)),op(e2,e2)) = op(op(e2,op(e2,e2)),op(e2,e2)),
introduced(tautology,[refl,[$fot(op(op(e2,op(e2,e2)),op(e2,e2)))]]) ).
cnf(refute_3_41,plain,
( op(e2,op(e2,e2)) != e3
| op(op(e2,op(e2,e2)),op(e2,e2)) != op(op(e2,op(e2,e2)),op(e2,e2))
| op(op(e2,op(e2,e2)),op(e2,e2)) = op(e3,op(e2,e2)) ),
introduced(tautology,[equality,[$cnf( $equal(op(op(e2,op(e2,e2)),op(e2,e2)),op(op(e2,op(e2,e2)),op(e2,e2))) ),[1,0],$fot(e3)]]) ).
cnf(refute_3_42,plain,
( op(e2,op(e2,e2)) != e3
| op(op(e2,op(e2,e2)),op(e2,e2)) = op(e3,op(e2,e2)) ),
inference(resolve,[$cnf( $equal(op(op(e2,op(e2,e2)),op(e2,e2)),op(op(e2,op(e2,e2)),op(e2,e2))) )],[refute_3_40,refute_3_41]) ).
cnf(refute_3_43,plain,
op(op(e2,op(e2,e2)),op(e2,e2)) = op(e3,op(e2,e2)),
inference(resolve,[$cnf( $equal(op(e2,op(e2,e2)),e3) )],[refute_3_39,refute_3_42]) ).
cnf(refute_3_44,plain,
( op(e3,op(e2,e2)) != op(e3,e4)
| op(op(e2,op(e2,e2)),op(e2,e2)) != op(e3,op(e2,e2))
| op(op(e2,op(e2,e2)),op(e2,e2)) = op(e3,e4) ),
inference(subst,[],[refute_3_18:[bind(X,$fot(op(op(e2,op(e2,e2)),op(e2,e2)))),bind(Y,$fot(op(e3,op(e2,e2)))),bind(Z,$fot(op(e3,e4)))]]) ).
cnf(refute_3_45,plain,
( op(e3,op(e2,e2)) != op(e3,e4)
| op(op(e2,op(e2,e2)),op(e2,e2)) = op(e3,e4) ),
inference(resolve,[$cnf( $equal(op(op(e2,op(e2,e2)),op(e2,e2)),op(e3,op(e2,e2))) )],[refute_3_43,refute_3_44]) ).
cnf(refute_3_46,plain,
op(op(e2,op(e2,e2)),op(e2,e2)) = op(e3,e4),
inference(resolve,[$cnf( $equal(op(e3,op(e2,e2)),op(e3,e4)) )],[refute_3_36,refute_3_45]) ).
cnf(refute_3_47,plain,
( e1 != op(op(e2,op(e2,e2)),op(e2,e2))
| op(op(e2,op(e2,e2)),op(e2,e2)) != op(e3,e4)
| e1 = op(e3,e4) ),
introduced(tautology,[equality,[$cnf( ~ $equal(e1,op(e3,e4)) ),[0],$fot(op(op(e2,op(e2,e2)),op(e2,e2)))]]) ).
cnf(refute_3_48,plain,
( e1 != op(op(e2,op(e2,e2)),op(e2,e2))
| e1 = op(e3,e4) ),
inference(resolve,[$cnf( $equal(op(op(e2,op(e2,e2)),op(e2,e2)),op(e3,e4)) )],[refute_3_46,refute_3_47]) ).
cnf(refute_3_49,plain,
e1 = op(e3,e4),
inference(resolve,[$cnf( $equal(e1,op(op(e2,op(e2,e2)),op(e2,e2))) )],[refute_3_32,refute_3_48]) ).
cnf(refute_3_50,plain,
( e1 != op(e3,e4)
| op(e3,e4) = e1 ),
inference(subst,[],[refute_3_6:[bind(X,$fot(e1)),bind(Y,$fot(op(e3,e4)))]]) ).
cnf(refute_3_51,plain,
op(e3,e4) = e1,
inference(resolve,[$cnf( $equal(e1,op(e3,e4)) )],[refute_3_49,refute_3_50]) ).
cnf(refute_3_52,plain,
( op(e0,e4) != e1
| op(e3,e4) != e1
| op(e0,e4) = op(e3,e4) ),
introduced(tautology,[equality,[$cnf( ~ $equal(op(e0,e4),op(e3,e4)) ),[1],$fot(e1)]]) ).
cnf(refute_3_53,plain,
( op(e0,e4) != e1
| op(e0,e4) = op(e3,e4) ),
inference(resolve,[$cnf( $equal(op(e3,e4),e1) )],[refute_3_51,refute_3_52]) ).
cnf(refute_3_54,plain,
op(e0,e4) != e1,
inference(resolve,[$cnf( $equal(op(e0,e4),op(e3,e4)) )],[refute_3_53,refute_3_31]) ).
cnf(refute_3_55,plain,
( op(e0,e4) = e2
| op(e0,e4) = e3
| op(e0,e4) = e4 ),
inference(resolve,[$cnf( $equal(op(e0,e4),e1) )],[refute_3_30,refute_3_54]) ).
cnf(refute_3_56,plain,
op(e0,e3) != op(e0,e4),
inference(canonicalize,[],[normalize_3_10]) ).
cnf(refute_3_57,plain,
op(op(e0,e3),e3) = e0,
inference(canonicalize,[],[normalize_3_12]) ).
cnf(refute_3_58,plain,
( op(e0,e3) = e0
| op(e0,e3) = e1
| op(e0,e3) = e2
| op(e0,e3) = e3
| op(e0,e3) = e4 ),
inference(canonicalize,[],[normalize_3_13]) ).
cnf(refute_3_59,plain,
op(e0,e3) != op(e2,e3),
inference(canonicalize,[],[normalize_3_14]) ).
cnf(refute_3_60,plain,
( op(e2,e0) = e0
| op(e2,e1) = e0
| op(e2,e2) = e0
| op(e2,e3) = e0
| op(e2,e4) = e0 ),
inference(canonicalize,[],[normalize_3_16]) ).
cnf(refute_3_61,plain,
( op(e2,e2) != e0
| op(e2,e2) != e4
| e4 = e0 ),
introduced(tautology,[equality,[$cnf( $equal(op(e2,e2),e0) ),[0],$fot(e4)]]) ).
cnf(refute_3_62,plain,
( op(e2,e2) != e0
| e4 = e0 ),
inference(resolve,[$cnf( $equal(op(e2,e2),e4) )],[refute_3_8,refute_3_61]) ).
cnf(refute_3_63,plain,
( e4 = e0
| op(e2,e0) = e0
| op(e2,e1) = e0
| op(e2,e3) = e0
| op(e2,e4) = e0 ),
inference(resolve,[$cnf( $equal(op(e2,e2),e0) )],[refute_3_60,refute_3_62]) ).
cnf(refute_3_64,plain,
e0 != e4,
inference(canonicalize,[],[normalize_3_18]) ).
cnf(refute_3_65,plain,
( e4 != e0
| e0 = e4 ),
inference(subst,[],[refute_3_6:[bind(X,$fot(e4)),bind(Y,$fot(e0))]]) ).
cnf(refute_3_66,plain,
e4 != e0,
inference(resolve,[$cnf( $equal(e0,e4) )],[refute_3_65,refute_3_64]) ).
cnf(refute_3_67,plain,
( op(e2,e0) = e0
| op(e2,e1) = e0
| op(e2,e3) = e0
| op(e2,e4) = e0 ),
inference(resolve,[$cnf( $equal(e4,e0) )],[refute_3_63,refute_3_66]) ).
cnf(refute_3_68,plain,
op(e2,op(e2,e2)) = op(e2,op(e2,e2)),
introduced(tautology,[refl,[$fot(op(e2,op(e2,e2)))]]) ).
cnf(refute_3_69,plain,
( op(e2,e2) != e4
| op(e2,op(e2,e2)) != op(e2,op(e2,e2))
| op(e2,op(e2,e2)) = op(e2,e4) ),
introduced(tautology,[equality,[$cnf( $equal(op(e2,op(e2,e2)),op(e2,op(e2,e2))) ),[1,1],$fot(e4)]]) ).
cnf(refute_3_70,plain,
( op(e2,e2) != e4
| op(e2,op(e2,e2)) = op(e2,e4) ),
inference(resolve,[$cnf( $equal(op(e2,op(e2,e2)),op(e2,op(e2,e2))) )],[refute_3_68,refute_3_69]) ).
cnf(refute_3_71,plain,
op(e2,op(e2,e2)) = op(e2,e4),
inference(resolve,[$cnf( $equal(op(e2,e2),e4) )],[refute_3_8,refute_3_70]) ).
cnf(refute_3_72,plain,
( e3 != op(e2,op(e2,e2))
| op(e2,op(e2,e2)) != op(e2,e4)
| e3 = op(e2,e4) ),
introduced(tautology,[equality,[$cnf( ~ $equal(e3,op(e2,e4)) ),[0],$fot(op(e2,op(e2,e2)))]]) ).
cnf(refute_3_73,plain,
( e3 != op(e2,op(e2,e2))
| e3 = op(e2,e4) ),
inference(resolve,[$cnf( $equal(op(e2,op(e2,e2)),op(e2,e4)) )],[refute_3_71,refute_3_72]) ).
cnf(refute_3_74,plain,
e3 = op(e2,e4),
inference(resolve,[$cnf( $equal(e3,op(e2,op(e2,e2))) )],[refute_3_37,refute_3_73]) ).
cnf(refute_3_75,plain,
( e3 != op(e2,e4)
| op(e2,e4) = e3 ),
inference(subst,[],[refute_3_6:[bind(X,$fot(e3)),bind(Y,$fot(op(e2,e4)))]]) ).
cnf(refute_3_76,plain,
op(e2,e4) = e3,
inference(resolve,[$cnf( $equal(e3,op(e2,e4)) )],[refute_3_74,refute_3_75]) ).
cnf(refute_3_77,plain,
( op(e2,e4) != e0
| op(e2,e4) != e3
| e3 = e0 ),
introduced(tautology,[equality,[$cnf( $equal(op(e2,e4),e0) ),[0],$fot(e3)]]) ).
cnf(refute_3_78,plain,
( op(e2,e4) != e0
| e3 = e0 ),
inference(resolve,[$cnf( $equal(op(e2,e4),e3) )],[refute_3_76,refute_3_77]) ).
cnf(refute_3_79,plain,
( e3 = e0
| op(e2,e0) = e0
| op(e2,e1) = e0
| op(e2,e3) = e0 ),
inference(resolve,[$cnf( $equal(op(e2,e4),e0) )],[refute_3_67,refute_3_78]) ).
cnf(refute_3_80,plain,
e0 != e3,
inference(canonicalize,[],[normalize_3_19]) ).
cnf(refute_3_81,plain,
( e3 != e0
| e0 = e3 ),
inference(subst,[],[refute_3_6:[bind(X,$fot(e3)),bind(Y,$fot(e0))]]) ).
cnf(refute_3_82,plain,
e3 != e0,
inference(resolve,[$cnf( $equal(e0,e3) )],[refute_3_81,refute_3_80]) ).
cnf(refute_3_83,plain,
( op(e2,e0) = e0
| op(e2,e1) = e0
| op(e2,e3) = e0 ),
inference(resolve,[$cnf( $equal(e3,e0) )],[refute_3_79,refute_3_82]) ).
cnf(refute_3_84,plain,
op(e2,unit) = e2,
inference(canonicalize,[],[normalize_3_21]) ).
cnf(refute_3_85,plain,
op(op(e0,e3),e0) != e3,
inference(canonicalize,[],[normalize_3_22]) ).
cnf(refute_3_86,plain,
op(unit,e3) = e3,
inference(canonicalize,[],[normalize_3_23]) ).
cnf(refute_3_87,plain,
op(unit,e4) = e4,
inference(canonicalize,[],[normalize_3_24]) ).
cnf(refute_3_88,plain,
( unit = e0
| unit = e1
| unit = e2
| unit = e3
| unit = e4 ),
inference(canonicalize,[],[normalize_3_25]) ).
cnf(refute_3_89,plain,
( op(unit,e4) != e4
| unit != e2
| op(e2,e4) = e4 ),
introduced(tautology,[equality,[$cnf( $equal(op(unit,e4),e4) ),[0,0],$fot(e2)]]) ).
cnf(refute_3_90,plain,
( op(unit,e4) != e4
| op(e2,e4) = e4
| unit = e0
| unit = e1
| unit = e3
| unit = e4 ),
inference(resolve,[$cnf( $equal(unit,e2) )],[refute_3_88,refute_3_89]) ).
cnf(refute_3_91,plain,
( op(e2,e4) = e4
| unit = e0
| unit = e1
| unit = e3
| unit = e4 ),
inference(resolve,[$cnf( $equal(op(unit,e4),e4) )],[refute_3_87,refute_3_90]) ).
cnf(refute_3_92,plain,
( op(e2,e4) != e3
| op(e2,e4) != e4
| e3 = e4 ),
introduced(tautology,[equality,[$cnf( $equal(op(e2,e4),e4) ),[0],$fot(e3)]]) ).
cnf(refute_3_93,plain,
( op(e2,e4) != e4
| e3 = e4 ),
inference(resolve,[$cnf( $equal(op(e2,e4),e3) )],[refute_3_76,refute_3_92]) ).
cnf(refute_3_94,plain,
( e3 = e4
| unit = e0
| unit = e1
| unit = e3
| unit = e4 ),
inference(resolve,[$cnf( $equal(op(e2,e4),e4) )],[refute_3_91,refute_3_93]) ).
cnf(refute_3_95,plain,
e3 != e4,
inference(canonicalize,[],[normalize_3_26]) ).
cnf(refute_3_96,plain,
( unit = e0
| unit = e1
| unit = e3
| unit = e4 ),
inference(resolve,[$cnf( $equal(e3,e4) )],[refute_3_94,refute_3_95]) ).
cnf(refute_3_97,plain,
( op(unit,e4) != e4
| unit != e3
| op(e3,e4) = e4 ),
introduced(tautology,[equality,[$cnf( $equal(op(unit,e4),e4) ),[0,0],$fot(e3)]]) ).
cnf(refute_3_98,plain,
( op(unit,e4) != e4
| op(e3,e4) = e4
| unit = e0
| unit = e1
| unit = e4 ),
inference(resolve,[$cnf( $equal(unit,e3) )],[refute_3_96,refute_3_97]) ).
cnf(refute_3_99,plain,
( op(e3,e4) = e4
| unit = e0
| unit = e1
| unit = e4 ),
inference(resolve,[$cnf( $equal(op(unit,e4),e4) )],[refute_3_87,refute_3_98]) ).
cnf(refute_3_100,plain,
( op(e3,e4) != e1
| op(e3,e4) != e4
| e1 = e4 ),
introduced(tautology,[equality,[$cnf( $equal(op(e3,e4),e4) ),[0],$fot(e1)]]) ).
cnf(refute_3_101,plain,
( op(e3,e4) != e4
| e1 = e4 ),
inference(resolve,[$cnf( $equal(op(e3,e4),e1) )],[refute_3_51,refute_3_100]) ).
cnf(refute_3_102,plain,
( e1 = e4
| unit = e0
| unit = e1
| unit = e4 ),
inference(resolve,[$cnf( $equal(op(e3,e4),e4) )],[refute_3_99,refute_3_101]) ).
cnf(refute_3_103,plain,
e1 != e4,
inference(canonicalize,[],[normalize_3_27]) ).
cnf(refute_3_104,plain,
( unit = e0
| unit = e1
| unit = e4 ),
inference(resolve,[$cnf( $equal(e1,e4) )],[refute_3_102,refute_3_103]) ).
cnf(refute_3_105,plain,
( op(unit,e4) != e4
| unit != e4
| op(e4,e4) = e4 ),
introduced(tautology,[equality,[$cnf( $equal(op(unit,e4),e4) ),[0,0],$fot(e4)]]) ).
cnf(refute_3_106,plain,
( op(unit,e4) != e4
| op(e4,e4) = e4
| unit = e0
| unit = e1 ),
inference(resolve,[$cnf( $equal(unit,e4) )],[refute_3_104,refute_3_105]) ).
cnf(refute_3_107,plain,
( op(e4,e4) = e4
| unit = e0
| unit = e1 ),
inference(resolve,[$cnf( $equal(op(unit,e4),e4) )],[refute_3_87,refute_3_106]) ).
cnf(refute_3_108,plain,
( op(e4,e4) != e0
| op(e4,e4) != e4
| e0 = e4 ),
introduced(tautology,[equality,[$cnf( $equal(op(e4,e4),e4) ),[0],$fot(e0)]]) ).
cnf(refute_3_109,plain,
( op(e4,e4) != e4
| e0 = e4 ),
inference(resolve,[$cnf( $equal(op(e4,e4),e0) )],[refute_3_26,refute_3_108]) ).
cnf(refute_3_110,plain,
( e0 = e4
| unit = e0
| unit = e1 ),
inference(resolve,[$cnf( $equal(op(e4,e4),e4) )],[refute_3_107,refute_3_109]) ).
cnf(refute_3_111,plain,
( unit = e0
| unit = e1 ),
inference(resolve,[$cnf( $equal(e0,e4) )],[refute_3_110,refute_3_64]) ).
cnf(refute_3_112,plain,
( op(unit,e3) != e3
| unit != e0
| op(e0,e3) = e3 ),
introduced(tautology,[equality,[$cnf( $equal(op(unit,e3),e3) ),[0,0],$fot(e0)]]) ).
cnf(refute_3_113,plain,
( op(unit,e3) != e3
| op(e0,e3) = e3
| unit = e1 ),
inference(resolve,[$cnf( $equal(unit,e0) )],[refute_3_111,refute_3_112]) ).
cnf(refute_3_114,plain,
( op(e0,e3) = e3
| unit = e1 ),
inference(resolve,[$cnf( $equal(op(unit,e3),e3) )],[refute_3_86,refute_3_113]) ).
cnf(refute_3_115,plain,
( op(e0,e3) != e3
| op(e3,e0) != e3
| op(op(e0,e3),e0) = e3 ),
introduced(tautology,[equality,[$cnf( ~ $equal(op(op(e0,e3),e0),e3) ),[0,0],$fot(e3)]]) ).
cnf(refute_3_116,plain,
( op(e3,e0) != e3
| op(op(e0,e3),e0) = e3
| unit = e1 ),
inference(resolve,[$cnf( $equal(op(e0,e3),e3) )],[refute_3_114,refute_3_115]) ).
cnf(refute_3_117,plain,
( op(e3,e0) != e3
| unit = e1 ),
inference(resolve,[$cnf( $equal(op(op(e0,e3),e0),e3) )],[refute_3_116,refute_3_85]) ).
cnf(refute_3_118,plain,
op(e3,unit) = e3,
inference(canonicalize,[],[normalize_3_28]) ).
cnf(refute_3_119,plain,
( op(e3,unit) != e3
| unit != e0
| op(e3,e0) = e3 ),
introduced(tautology,[equality,[$cnf( $equal(op(e3,unit),e3) ),[0,1],$fot(e0)]]) ).
cnf(refute_3_120,plain,
( op(e3,unit) != e3
| op(e3,e0) = e3
| unit = e1 ),
inference(resolve,[$cnf( $equal(unit,e0) )],[refute_3_111,refute_3_119]) ).
cnf(refute_3_121,plain,
( op(e3,e0) = e3
| unit = e1 ),
inference(resolve,[$cnf( $equal(op(e3,unit),e3) )],[refute_3_118,refute_3_120]) ).
cnf(refute_3_122,plain,
( e3 != e3
| op(e3,e0) != e3
| op(e3,e0) = e3 ),
introduced(tautology,[equality,[$cnf( $equal(op(e3,e0),e3) ),[0,0],$fot(e3)]]) ).
cnf(refute_3_123,plain,
( e3 != e3
| op(e3,e0) = e3
| unit = e1 ),
inference(resolve,[$cnf( $equal(op(e3,e0),e3) )],[refute_3_121,refute_3_122]) ).
cnf(refute_3_124,plain,
( e3 != e3
| unit = e1 ),
inference(resolve,[$cnf( $equal(op(e3,e0),e3) )],[refute_3_123,refute_3_117]) ).
cnf(refute_3_125,plain,
e3 = e3,
introduced(tautology,[refl,[$fot(e3)]]) ).
cnf(refute_3_126,plain,
unit = e1,
inference(resolve,[$cnf( $equal(e3,e3) )],[refute_3_125,refute_3_124]) ).
cnf(refute_3_127,plain,
op(e2,unit) = op(e2,unit),
introduced(tautology,[refl,[$fot(op(e2,unit))]]) ).
cnf(refute_3_128,plain,
( op(e2,unit) != op(e2,unit)
| unit != e1
| op(e2,unit) = op(e2,e1) ),
introduced(tautology,[equality,[$cnf( $equal(op(e2,unit),op(e2,unit)) ),[1,1],$fot(e1)]]) ).
cnf(refute_3_129,plain,
( unit != e1
| op(e2,unit) = op(e2,e1) ),
inference(resolve,[$cnf( $equal(op(e2,unit),op(e2,unit)) )],[refute_3_127,refute_3_128]) ).
cnf(refute_3_130,plain,
op(e2,unit) = op(e2,e1),
inference(resolve,[$cnf( $equal(unit,e1) )],[refute_3_126,refute_3_129]) ).
cnf(refute_3_131,plain,
( op(e2,unit) != e2
| op(e2,unit) != op(e2,e1)
| op(e2,e1) = e2 ),
introduced(tautology,[equality,[$cnf( $equal(op(e2,unit),e2) ),[0],$fot(op(e2,e1))]]) ).
cnf(refute_3_132,plain,
( op(e2,unit) != e2
| op(e2,e1) = e2 ),
inference(resolve,[$cnf( $equal(op(e2,unit),op(e2,e1)) )],[refute_3_130,refute_3_131]) ).
cnf(refute_3_133,plain,
op(e2,e1) = e2,
inference(resolve,[$cnf( $equal(op(e2,unit),e2) )],[refute_3_84,refute_3_132]) ).
cnf(refute_3_134,plain,
( op(e2,e1) != e0
| op(e2,e1) != e2
| e2 = e0 ),
introduced(tautology,[equality,[$cnf( $equal(op(e2,e1),e0) ),[0],$fot(e2)]]) ).
cnf(refute_3_135,plain,
( op(e2,e1) != e0
| e2 = e0 ),
inference(resolve,[$cnf( $equal(op(e2,e1),e2) )],[refute_3_133,refute_3_134]) ).
cnf(refute_3_136,plain,
( e2 = e0
| op(e2,e0) = e0
| op(e2,e3) = e0 ),
inference(resolve,[$cnf( $equal(op(e2,e1),e0) )],[refute_3_83,refute_3_135]) ).
cnf(refute_3_137,plain,
e0 != e2,
inference(canonicalize,[],[normalize_3_29]) ).
cnf(refute_3_138,plain,
( e2 != e0
| e0 = e2 ),
inference(subst,[],[refute_3_6:[bind(X,$fot(e2)),bind(Y,$fot(e0))]]) ).
cnf(refute_3_139,plain,
e2 != e0,
inference(resolve,[$cnf( $equal(e0,e2) )],[refute_3_138,refute_3_137]) ).
cnf(refute_3_140,plain,
( op(e2,e0) = e0
| op(e2,e3) = e0 ),
inference(resolve,[$cnf( $equal(e2,e0) )],[refute_3_136,refute_3_139]) ).
cnf(refute_3_141,plain,
op(e1,e0) != op(e2,e0),
inference(canonicalize,[],[normalize_3_30]) ).
cnf(refute_3_142,plain,
op(unit,e0) = e0,
inference(canonicalize,[],[normalize_3_31]) ).
cnf(refute_3_143,plain,
op(unit,e0) = op(unit,e0),
introduced(tautology,[refl,[$fot(op(unit,e0))]]) ).
cnf(refute_3_144,plain,
( op(unit,e0) != op(unit,e0)
| unit != e1
| op(unit,e0) = op(e1,e0) ),
introduced(tautology,[equality,[$cnf( $equal(op(unit,e0),op(unit,e0)) ),[1,0],$fot(e1)]]) ).
cnf(refute_3_145,plain,
( unit != e1
| op(unit,e0) = op(e1,e0) ),
inference(resolve,[$cnf( $equal(op(unit,e0),op(unit,e0)) )],[refute_3_143,refute_3_144]) ).
cnf(refute_3_146,plain,
op(unit,e0) = op(e1,e0),
inference(resolve,[$cnf( $equal(unit,e1) )],[refute_3_126,refute_3_145]) ).
cnf(refute_3_147,plain,
( op(unit,e0) != e0
| op(unit,e0) != op(e1,e0)
| op(e1,e0) = e0 ),
introduced(tautology,[equality,[$cnf( $equal(op(unit,e0),e0) ),[0],$fot(op(e1,e0))]]) ).
cnf(refute_3_148,plain,
( op(unit,e0) != e0
| op(e1,e0) = e0 ),
inference(resolve,[$cnf( $equal(op(unit,e0),op(e1,e0)) )],[refute_3_146,refute_3_147]) ).
cnf(refute_3_149,plain,
op(e1,e0) = e0,
inference(resolve,[$cnf( $equal(op(unit,e0),e0) )],[refute_3_142,refute_3_148]) ).
cnf(refute_3_150,plain,
( e0 != op(e2,e0)
| op(e1,e0) != e0
| op(e1,e0) = op(e2,e0) ),
introduced(tautology,[equality,[$cnf( $equal(op(e1,e0),e0) ),[1],$fot(op(e2,e0))]]) ).
cnf(refute_3_151,plain,
( e0 != op(e2,e0)
| op(e1,e0) = op(e2,e0) ),
inference(resolve,[$cnf( $equal(op(e1,e0),e0) )],[refute_3_149,refute_3_150]) ).
cnf(refute_3_152,plain,
e0 != op(e2,e0),
inference(resolve,[$cnf( $equal(op(e1,e0),op(e2,e0)) )],[refute_3_151,refute_3_141]) ).
cnf(refute_3_153,plain,
( op(e2,e0) != e0
| e0 = op(e2,e0) ),
inference(subst,[],[refute_3_6:[bind(X,$fot(op(e2,e0))),bind(Y,$fot(e0))]]) ).
cnf(refute_3_154,plain,
op(e2,e0) != e0,
inference(resolve,[$cnf( $equal(e0,op(e2,e0)) )],[refute_3_153,refute_3_152]) ).
cnf(refute_3_155,plain,
op(e2,e3) = e0,
inference(resolve,[$cnf( $equal(op(e2,e0),e0) )],[refute_3_140,refute_3_154]) ).
cnf(refute_3_156,plain,
( op(e0,e3) != e0
| op(e2,e3) != e0
| op(e0,e3) = op(e2,e3) ),
introduced(tautology,[equality,[$cnf( ~ $equal(op(e0,e3),op(e2,e3)) ),[1],$fot(e0)]]) ).
cnf(refute_3_157,plain,
( op(e0,e3) != e0
| op(e0,e3) = op(e2,e3) ),
inference(resolve,[$cnf( $equal(op(e2,e3),e0) )],[refute_3_155,refute_3_156]) ).
cnf(refute_3_158,plain,
op(e0,e3) != e0,
inference(resolve,[$cnf( $equal(op(e0,e3),op(e2,e3)) )],[refute_3_157,refute_3_59]) ).
cnf(refute_3_159,plain,
( op(e0,e3) = e1
| op(e0,e3) = e2
| op(e0,e3) = e3
| op(e0,e3) = e4 ),
inference(resolve,[$cnf( $equal(op(e0,e3),e0) )],[refute_3_58,refute_3_158]) ).
cnf(refute_3_160,plain,
op(e0,e3) != op(e1,e3),
inference(canonicalize,[],[normalize_3_32]) ).
cnf(refute_3_161,plain,
op(unit,e3) = op(unit,e3),
introduced(tautology,[refl,[$fot(op(unit,e3))]]) ).
cnf(refute_3_162,plain,
( op(unit,e3) != op(unit,e3)
| unit != e1
| op(unit,e3) = op(e1,e3) ),
introduced(tautology,[equality,[$cnf( $equal(op(unit,e3),op(unit,e3)) ),[1,0],$fot(e1)]]) ).
cnf(refute_3_163,plain,
( unit != e1
| op(unit,e3) = op(e1,e3) ),
inference(resolve,[$cnf( $equal(op(unit,e3),op(unit,e3)) )],[refute_3_161,refute_3_162]) ).
cnf(refute_3_164,plain,
op(unit,e3) = op(e1,e3),
inference(resolve,[$cnf( $equal(unit,e1) )],[refute_3_126,refute_3_163]) ).
cnf(refute_3_165,plain,
( op(unit,e3) != e3
| op(unit,e3) != op(e1,e3)
| op(e1,e3) = e3 ),
introduced(tautology,[equality,[$cnf( $equal(op(unit,e3),e3) ),[0],$fot(op(e1,e3))]]) ).
cnf(refute_3_166,plain,
( op(unit,e3) != e3
| op(e1,e3) = e3 ),
inference(resolve,[$cnf( $equal(op(unit,e3),op(e1,e3)) )],[refute_3_164,refute_3_165]) ).
cnf(refute_3_167,plain,
op(e1,e3) = e3,
inference(resolve,[$cnf( $equal(op(unit,e3),e3) )],[refute_3_86,refute_3_166]) ).
cnf(refute_3_168,plain,
( op(e0,e3) != e3
| op(e1,e3) != e3
| op(e0,e3) = op(e1,e3) ),
introduced(tautology,[equality,[$cnf( ~ $equal(op(e0,e3),op(e1,e3)) ),[1],$fot(e3)]]) ).
cnf(refute_3_169,plain,
( op(e0,e3) != e3
| op(e0,e3) = op(e1,e3) ),
inference(resolve,[$cnf( $equal(op(e1,e3),e3) )],[refute_3_167,refute_3_168]) ).
cnf(refute_3_170,plain,
op(e0,e3) != e3,
inference(resolve,[$cnf( $equal(op(e0,e3),op(e1,e3)) )],[refute_3_169,refute_3_160]) ).
cnf(refute_3_171,plain,
( op(e0,e3) = e1
| op(e0,e3) = e2
| op(e0,e3) = e4 ),
inference(resolve,[$cnf( $equal(op(e0,e3),e3) )],[refute_3_159,refute_3_170]) ).
cnf(refute_3_172,plain,
op(e0,e0) != op(e0,e3),
inference(canonicalize,[],[normalize_3_33]) ).
cnf(refute_3_173,plain,
( op(e0,e0) = e4
| op(e0,e1) = e4
| op(e0,e2) = e4
| op(e0,e3) = e4
| op(e0,e4) = e4 ),
inference(canonicalize,[],[normalize_3_34]) ).
cnf(refute_3_174,plain,
op(e0,e2) != op(e2,e2),
inference(canonicalize,[],[normalize_3_35]) ).
cnf(refute_3_175,plain,
( op(e0,e2) != e4
| op(e2,e2) != e4
| op(e0,e2) = op(e2,e2) ),
introduced(tautology,[equality,[$cnf( ~ $equal(op(e0,e2),op(e2,e2)) ),[1],$fot(e4)]]) ).
cnf(refute_3_176,plain,
( op(e0,e2) != e4
| op(e0,e2) = op(e2,e2) ),
inference(resolve,[$cnf( $equal(op(e2,e2),e4) )],[refute_3_8,refute_3_175]) ).
cnf(refute_3_177,plain,
op(e0,e2) != e4,
inference(resolve,[$cnf( $equal(op(e0,e2),op(e2,e2)) )],[refute_3_176,refute_3_174]) ).
cnf(refute_3_178,plain,
( op(e0,e0) = e4
| op(e0,e1) = e4
| op(e0,e3) = e4
| op(e0,e4) = e4 ),
inference(resolve,[$cnf( $equal(op(e0,e2),e4) )],[refute_3_173,refute_3_177]) ).
cnf(refute_3_179,plain,
op(e0,unit) = e0,
inference(canonicalize,[],[normalize_3_36]) ).
cnf(refute_3_180,plain,
op(e0,unit) = op(e0,unit),
introduced(tautology,[refl,[$fot(op(e0,unit))]]) ).
cnf(refute_3_181,plain,
( op(e0,unit) != op(e0,unit)
| unit != e1
| op(e0,unit) = op(e0,e1) ),
introduced(tautology,[equality,[$cnf( $equal(op(e0,unit),op(e0,unit)) ),[1,1],$fot(e1)]]) ).
cnf(refute_3_182,plain,
( unit != e1
| op(e0,unit) = op(e0,e1) ),
inference(resolve,[$cnf( $equal(op(e0,unit),op(e0,unit)) )],[refute_3_180,refute_3_181]) ).
cnf(refute_3_183,plain,
op(e0,unit) = op(e0,e1),
inference(resolve,[$cnf( $equal(unit,e1) )],[refute_3_126,refute_3_182]) ).
cnf(refute_3_184,plain,
( op(e0,unit) != e0
| op(e0,unit) != op(e0,e1)
| op(e0,e1) = e0 ),
introduced(tautology,[equality,[$cnf( $equal(op(e0,unit),e0) ),[0],$fot(op(e0,e1))]]) ).
cnf(refute_3_185,plain,
( op(e0,unit) != e0
| op(e0,e1) = e0 ),
inference(resolve,[$cnf( $equal(op(e0,unit),op(e0,e1)) )],[refute_3_183,refute_3_184]) ).
cnf(refute_3_186,plain,
op(e0,e1) = e0,
inference(resolve,[$cnf( $equal(op(e0,unit),e0) )],[refute_3_179,refute_3_185]) ).
cnf(refute_3_187,plain,
( op(e0,e1) != e0
| op(e0,e1) != e4
| e0 = e4 ),
introduced(tautology,[equality,[$cnf( $equal(op(e0,e1),e4) ),[0],$fot(e0)]]) ).
cnf(refute_3_188,plain,
( op(e0,e1) != e4
| e0 = e4 ),
inference(resolve,[$cnf( $equal(op(e0,e1),e0) )],[refute_3_186,refute_3_187]) ).
cnf(refute_3_189,plain,
( e0 = e4
| op(e0,e0) = e4
| op(e0,e3) = e4
| op(e0,e4) = e4 ),
inference(resolve,[$cnf( $equal(op(e0,e1),e4) )],[refute_3_178,refute_3_188]) ).
cnf(refute_3_190,plain,
( op(e0,e0) = e4
| op(e0,e3) = e4
| op(e0,e4) = e4 ),
inference(resolve,[$cnf( $equal(e0,e4) )],[refute_3_189,refute_3_64]) ).
cnf(refute_3_191,plain,
op(e0,e4) != op(e1,e4),
inference(canonicalize,[],[normalize_3_37]) ).
cnf(refute_3_192,plain,
op(unit,e4) = op(unit,e4),
introduced(tautology,[refl,[$fot(op(unit,e4))]]) ).
cnf(refute_3_193,plain,
( op(unit,e4) != op(unit,e4)
| unit != e1
| op(unit,e4) = op(e1,e4) ),
introduced(tautology,[equality,[$cnf( $equal(op(unit,e4),op(unit,e4)) ),[1,0],$fot(e1)]]) ).
cnf(refute_3_194,plain,
( unit != e1
| op(unit,e4) = op(e1,e4) ),
inference(resolve,[$cnf( $equal(op(unit,e4),op(unit,e4)) )],[refute_3_192,refute_3_193]) ).
cnf(refute_3_195,plain,
op(unit,e4) = op(e1,e4),
inference(resolve,[$cnf( $equal(unit,e1) )],[refute_3_126,refute_3_194]) ).
cnf(refute_3_196,plain,
( op(unit,e4) != e4
| op(unit,e4) != op(e1,e4)
| op(e1,e4) = e4 ),
introduced(tautology,[equality,[$cnf( $equal(op(unit,e4),e4) ),[0],$fot(op(e1,e4))]]) ).
cnf(refute_3_197,plain,
( op(unit,e4) != e4
| op(e1,e4) = e4 ),
inference(resolve,[$cnf( $equal(op(unit,e4),op(e1,e4)) )],[refute_3_195,refute_3_196]) ).
cnf(refute_3_198,plain,
op(e1,e4) = e4,
inference(resolve,[$cnf( $equal(op(unit,e4),e4) )],[refute_3_87,refute_3_197]) ).
cnf(refute_3_199,plain,
( op(e0,e4) != e4
| op(e1,e4) != e4
| op(e0,e4) = op(e1,e4) ),
introduced(tautology,[equality,[$cnf( ~ $equal(op(e0,e4),op(e1,e4)) ),[1],$fot(e4)]]) ).
cnf(refute_3_200,plain,
( op(e0,e4) != e4
| op(e0,e4) = op(e1,e4) ),
inference(resolve,[$cnf( $equal(op(e1,e4),e4) )],[refute_3_198,refute_3_199]) ).
cnf(refute_3_201,plain,
op(e0,e4) != e4,
inference(resolve,[$cnf( $equal(op(e0,e4),op(e1,e4)) )],[refute_3_200,refute_3_191]) ).
cnf(refute_3_202,plain,
( op(e0,e0) = e4
| op(e0,e3) = e4 ),
inference(resolve,[$cnf( $equal(op(e0,e4),e4) )],[refute_3_190,refute_3_201]) ).
cnf(refute_3_203,plain,
( op(e0,e3) != e4
| op(op(e0,e3),e3) != e0
| op(e4,e3) = e0 ),
introduced(tautology,[equality,[$cnf( $equal(op(op(e0,e3),e3),e0) ),[0,0],$fot(e4)]]) ).
cnf(refute_3_204,plain,
( op(op(e0,e3),e3) != e0
| op(e0,e0) = e4
| op(e4,e3) = e0 ),
inference(resolve,[$cnf( $equal(op(e0,e3),e4) )],[refute_3_202,refute_3_203]) ).
cnf(refute_3_205,plain,
( op(e0,e0) = e4
| op(e4,e3) = e0 ),
inference(resolve,[$cnf( $equal(op(op(e0,e3),e3),e0) )],[refute_3_57,refute_3_204]) ).
cnf(refute_3_206,plain,
op(e4,e3) != op(e4,e4),
inference(canonicalize,[],[normalize_3_38]) ).
cnf(refute_3_207,plain,
( op(e4,e3) != e0
| op(e4,e4) != e0
| op(e4,e3) = op(e4,e4) ),
introduced(tautology,[equality,[$cnf( ~ $equal(op(e4,e3),op(e4,e4)) ),[1],$fot(e0)]]) ).
cnf(refute_3_208,plain,
( op(e4,e3) != e0
| op(e4,e3) = op(e4,e4) ),
inference(resolve,[$cnf( $equal(op(e4,e4),e0) )],[refute_3_26,refute_3_207]) ).
cnf(refute_3_209,plain,
op(e4,e3) != e0,
inference(resolve,[$cnf( $equal(op(e4,e3),op(e4,e4)) )],[refute_3_208,refute_3_206]) ).
cnf(refute_3_210,plain,
op(e0,e0) = e4,
inference(resolve,[$cnf( $equal(op(e4,e3),e0) )],[refute_3_205,refute_3_209]) ).
cnf(refute_3_211,plain,
( e4 != op(e0,e3)
| op(e0,e0) != e4
| op(e0,e0) = op(e0,e3) ),
introduced(tautology,[equality,[$cnf( $equal(op(e0,e0),e4) ),[1],$fot(op(e0,e3))]]) ).
cnf(refute_3_212,plain,
( e4 != op(e0,e3)
| op(e0,e0) = op(e0,e3) ),
inference(resolve,[$cnf( $equal(op(e0,e0),e4) )],[refute_3_210,refute_3_211]) ).
cnf(refute_3_213,plain,
e4 != op(e0,e3),
inference(resolve,[$cnf( $equal(op(e0,e0),op(e0,e3)) )],[refute_3_212,refute_3_172]) ).
cnf(refute_3_214,plain,
( op(e0,e3) != e4
| e4 = op(e0,e3) ),
inference(subst,[],[refute_3_6:[bind(X,$fot(op(e0,e3))),bind(Y,$fot(e4))]]) ).
cnf(refute_3_215,plain,
op(e0,e3) != e4,
inference(resolve,[$cnf( $equal(e4,op(e0,e3)) )],[refute_3_214,refute_3_213]) ).
cnf(refute_3_216,plain,
( op(e0,e3) = e1
| op(e0,e3) = e2 ),
inference(resolve,[$cnf( $equal(op(e0,e3),e4) )],[refute_3_171,refute_3_215]) ).
cnf(refute_3_217,plain,
( op(e0,e3) != e1
| op(op(e0,e3),e3) != e0
| op(e1,e3) = e0 ),
introduced(tautology,[equality,[$cnf( $equal(op(op(e0,e3),e3),e0) ),[0,0],$fot(e1)]]) ).
cnf(refute_3_218,plain,
( op(op(e0,e3),e3) != e0
| op(e0,e3) = e2
| op(e1,e3) = e0 ),
inference(resolve,[$cnf( $equal(op(e0,e3),e1) )],[refute_3_216,refute_3_217]) ).
cnf(refute_3_219,plain,
( op(e0,e3) = e2
| op(e1,e3) = e0 ),
inference(resolve,[$cnf( $equal(op(op(e0,e3),e3),e0) )],[refute_3_57,refute_3_218]) ).
cnf(refute_3_220,plain,
( op(e1,e3) != e0
| op(e1,e3) != e3
| e3 = e0 ),
introduced(tautology,[equality,[$cnf( $equal(op(e1,e3),e0) ),[0],$fot(e3)]]) ).
cnf(refute_3_221,plain,
( op(e1,e3) != e0
| e3 = e0 ),
inference(resolve,[$cnf( $equal(op(e1,e3),e3) )],[refute_3_167,refute_3_220]) ).
cnf(refute_3_222,plain,
( e3 = e0
| op(e0,e3) = e2 ),
inference(resolve,[$cnf( $equal(op(e1,e3),e0) )],[refute_3_219,refute_3_221]) ).
cnf(refute_3_223,plain,
op(e0,e3) = e2,
inference(resolve,[$cnf( $equal(e3,e0) )],[refute_3_222,refute_3_82]) ).
cnf(refute_3_224,plain,
( e2 != op(e0,e4)
| op(e0,e3) != e2
| op(e0,e3) = op(e0,e4) ),
introduced(tautology,[equality,[$cnf( $equal(op(e0,e3),e2) ),[1],$fot(op(e0,e4))]]) ).
cnf(refute_3_225,plain,
( e2 != op(e0,e4)
| op(e0,e3) = op(e0,e4) ),
inference(resolve,[$cnf( $equal(op(e0,e3),e2) )],[refute_3_223,refute_3_224]) ).
cnf(refute_3_226,plain,
e2 != op(e0,e4),
inference(resolve,[$cnf( $equal(op(e0,e3),op(e0,e4)) )],[refute_3_225,refute_3_56]) ).
cnf(refute_3_227,plain,
( op(e0,e4) != e2
| e2 = op(e0,e4) ),
inference(subst,[],[refute_3_6:[bind(X,$fot(op(e0,e4))),bind(Y,$fot(e2))]]) ).
cnf(refute_3_228,plain,
op(e0,e4) != e2,
inference(resolve,[$cnf( $equal(e2,op(e0,e4)) )],[refute_3_227,refute_3_226]) ).
cnf(refute_3_229,plain,
( op(e0,e4) = e3
| op(e0,e4) = e4 ),
inference(resolve,[$cnf( $equal(op(e0,e4),e2) )],[refute_3_55,refute_3_228]) ).
cnf(refute_3_230,plain,
op(e0,e4) != op(e2,e4),
inference(canonicalize,[],[normalize_3_39]) ).
cnf(refute_3_231,plain,
( op(e0,e4) != e3
| op(e2,e4) != e3
| op(e0,e4) = op(e2,e4) ),
introduced(tautology,[equality,[$cnf( ~ $equal(op(e0,e4),op(e2,e4)) ),[1],$fot(e3)]]) ).
cnf(refute_3_232,plain,
( op(e0,e4) != e3
| op(e0,e4) = op(e2,e4) ),
inference(resolve,[$cnf( $equal(op(e2,e4),e3) )],[refute_3_76,refute_3_231]) ).
cnf(refute_3_233,plain,
op(e0,e4) != e3,
inference(resolve,[$cnf( $equal(op(e0,e4),op(e2,e4)) )],[refute_3_232,refute_3_230]) ).
cnf(refute_3_234,plain,
op(e0,e4) = e4,
inference(resolve,[$cnf( $equal(op(e0,e4),e3) )],[refute_3_229,refute_3_233]) ).
cnf(refute_3_235,plain,
$false,
inference(resolve,[$cnf( $equal(op(e0,e4),e4) )],[refute_3_234,refute_3_201]) ).
fof(negate_4_0,plain,
~ ( ( ( ( op(e0,op(e0,e0)) != e0
& op(e0,op(e0,e0)) = e0 )
| ( op(e1,op(e1,e0)) != e0
& op(e0,op(e1,e0)) = e1 )
| ( op(e2,op(e2,e0)) != e0
& op(e0,op(e2,e0)) = e2 )
| ( op(e3,op(e3,e0)) != e0
& op(e0,op(e3,e0)) = e3 )
| ( op(e4,op(e4,e0)) != e0
& op(e0,op(e4,e0)) = e4 ) )
& ( ( op(e0,op(e0,e1)) != e1
& op(e1,op(e0,e1)) = e0 )
| ( op(e1,op(e1,e1)) != e1
& op(e1,op(e1,e1)) = e1 )
| ( op(e2,op(e2,e1)) != e1
& op(e1,op(e2,e1)) = e2 )
| ( op(e3,op(e3,e1)) != e1
& op(e1,op(e3,e1)) = e3 )
| ( op(e4,op(e4,e1)) != e1
& op(e1,op(e4,e1)) = e4 ) )
& ( ( op(e0,op(e0,e2)) != e2
& op(e2,op(e0,e2)) = e0 )
| ( op(e1,op(e1,e2)) != e2
& op(e2,op(e1,e2)) = e1 )
| ( op(e2,op(e2,e2)) != e2
& op(e2,op(e2,e2)) = e2 )
| ( op(e3,op(e3,e2)) != e2
& op(e2,op(e3,e2)) = e3 )
| ( op(e4,op(e4,e2)) != e2
& op(e2,op(e4,e2)) = e4 ) )
& ( ( op(e0,op(e0,e3)) != e3
& op(e3,op(e0,e3)) = e0 )
| ( op(e1,op(e1,e3)) != e3
& op(e3,op(e1,e3)) = e1 )
| ( op(e2,op(e2,e3)) != e3
& op(e3,op(e2,e3)) = e2 )
| ( op(e3,op(e3,e3)) != e3
& op(e3,op(e3,e3)) = e3 )
| ( op(e4,op(e4,e3)) != e3
& op(e3,op(e4,e3)) = e4 ) )
& ( ( op(e0,op(e0,e4)) != e4
& op(e4,op(e0,e4)) = e0 )
| ( op(e1,op(e1,e4)) != e4
& op(e4,op(e1,e4)) = e1 )
| ( op(e2,op(e2,e4)) != e4
& op(e4,op(e2,e4)) = e2 )
| ( op(e3,op(e3,e4)) != e4
& op(e4,op(e3,e4)) = e3 )
| ( op(e4,op(e4,e4)) != e4
& op(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(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,op(e0,e1)) != e1
& op(e1,op(e0,e1)) = e0 )
| ( op(e2,op(e2,e1)) != e1
& op(e1,op(e2,e1)) = e2 )
| ( op(e3,op(e3,e1)) != e1
& op(e1,op(e3,e1)) = e3 )
| ( op(e4,op(e4,e1)) != e1
& op(e1,op(e4,e1)) = e4 ) )
& ( ( op(e0,op(e0,e2)) != e2
& op(e2,op(e0,e2)) = e0 )
| ( op(e1,op(e1,e2)) != e2
& op(e2,op(e1,e2)) = e1 )
| ( op(e3,op(e3,e2)) != e2
& op(e2,op(e3,e2)) = e3 )
| ( op(e4,op(e4,e2)) != e2
& op(e2,op(e4,e2)) = e4 ) )
& ( ( op(e0,op(e0,e3)) != e3
& op(e3,op(e0,e3)) = e0 )
| ( op(e1,op(e1,e3)) != e3
& op(e3,op(e1,e3)) = e1 )
| ( op(e2,op(e2,e3)) != e3
& op(e3,op(e2,e3)) = e2 )
| ( op(e4,op(e4,e3)) != e3
& op(e3,op(e4,e3)) = e4 ) )
& ( ( op(e0,op(e0,e4)) != e4
& op(e4,op(e0,e4)) = e0 )
| ( op(e1,op(e1,e4)) != e4
& op(e4,op(e1,e4)) = e1 )
| ( op(e2,op(e2,e4)) != e4
& op(e4,op(e2,e4)) = e2 )
| ( op(e3,op(e3,e4)) != e4
& op(e4,op(e3,e4)) = e3 ) )
& ( ( op(e1,op(e1,e0)) != e0
& op(e0,op(e1,e0)) = e1 )
| ( op(e2,op(e2,e0)) != e0
& op(e0,op(e2,e0)) = e2 )
| ( op(e3,op(e3,e0)) != e0
& op(e0,op(e3,e0)) = e3 )
| ( op(e4,op(e4,e0)) != e0
& op(e0,op(e4,e0)) = e4 ) ) ),
inference(canonicalize,[],[negate_4_0]) ).
fof(normalize_4_1,plain,
( ( op(e1,op(e1,e0)) != e0
& op(e0,op(e1,e0)) = e1 )
| ( op(e2,op(e2,e0)) != e0
& op(e0,op(e2,e0)) = e2 )
| ( op(e3,op(e3,e0)) != e0
& op(e0,op(e3,e0)) = e3 )
| ( op(e4,op(e4,e0)) != e0
& op(e0,op(e4,e0)) = e4 ) ),
inference(conjunct,[],[normalize_4_0]) ).
fof(normalize_4_2,plain,
( ~ definitionFOFtoCNF_19
<=> ( op(e0,op(e1,e0)) != e1
| op(e1,op(e1,e0)) = e0 ) ),
inference(canonicalize,[],[definition_1]) ).
fof(normalize_4_3,plain,
( definitionFOFtoCNF_19
| ( op(e2,op(e2,e0)) != e0
& op(e0,op(e2,e0)) = e2 )
| ( op(e3,op(e3,e0)) != e0
& op(e0,op(e3,e0)) = e3 )
| ( op(e4,op(e4,e0)) != e0
& op(e0,op(e4,e0)) = e4 ) ),
inference(simplify,[],[normalize_4_1,normalize_4_2]) ).
fof(normalize_4_4,plain,
( ( op(e2,op(e2,e0)) != e0
| op(e3,op(e3,e0)) != e0
| op(e4,op(e4,e0)) != e0
| definitionFOFtoCNF_19 )
& ( op(e2,op(e2,e0)) != e0
| op(e3,op(e3,e0)) != e0
| op(e0,op(e4,e0)) = e4
| definitionFOFtoCNF_19 )
& ( op(e2,op(e2,e0)) != e0
| op(e4,op(e4,e0)) != e0
| op(e0,op(e3,e0)) = e3
| definitionFOFtoCNF_19 )
& ( op(e2,op(e2,e0)) != e0
| op(e0,op(e3,e0)) = e3
| op(e0,op(e4,e0)) = e4
| definitionFOFtoCNF_19 )
& ( op(e3,op(e3,e0)) != e0
| op(e4,op(e4,e0)) != e0
| op(e0,op(e2,e0)) = e2
| definitionFOFtoCNF_19 )
& ( op(e3,op(e3,e0)) != e0
| op(e0,op(e2,e0)) = e2
| op(e0,op(e4,e0)) = e4
| definitionFOFtoCNF_19 )
& ( op(e4,op(e4,e0)) != e0
| op(e0,op(e2,e0)) = e2
| op(e0,op(e3,e0)) = e3
| definitionFOFtoCNF_19 )
& ( op(e0,op(e2,e0)) = e2
| op(e0,op(e3,e0)) = e3
| op(e0,op(e4,e0)) = e4
| definitionFOFtoCNF_19 ) ),
inference(clausify,[],[normalize_4_3]) ).
fof(normalize_4_5,plain,
( op(e3,op(e3,e0)) != e0
| op(e0,op(e2,e0)) = e2
| op(e0,op(e4,e0)) = e4
| definitionFOFtoCNF_19 ),
inference(conjunct,[],[normalize_4_4]) ).
fof(normalize_4_6,plain,
( op(e0,e0) != op(e0,e1)
& op(e0,e0) != op(e0,e2)
& op(e0,e0) != op(e0,e3)
& op(e0,e0) != op(e0,e4)
& op(e0,e0) != op(e1,e0)
& op(e0,e0) != op(e2,e0)
& op(e0,e0) != op(e3,e0)
& op(e0,e0) != op(e4,e0)
& op(e0,e1) != op(e0,e2)
& op(e0,e1) != op(e0,e3)
& op(e0,e1) != op(e0,e4)
& op(e0,e1) != op(e1,e1)
& op(e0,e1) != op(e2,e1)
& op(e0,e1) != op(e3,e1)
& op(e0,e1) != op(e4,e1)
& op(e0,e2) != op(e0,e3)
& op(e0,e2) != op(e0,e4)
& op(e0,e2) != op(e1,e2)
& op(e0,e2) != op(e2,e2)
& op(e0,e2) != op(e3,e2)
& op(e0,e2) != op(e4,e2)
& op(e0,e3) != op(e0,e4)
& op(e0,e3) != op(e1,e3)
& op(e0,e3) != op(e2,e3)
& op(e0,e3) != op(e3,e3)
& op(e0,e3) != op(e4,e3)
& op(e0,e4) != op(e1,e4)
& op(e0,e4) != op(e2,e4)
& op(e0,e4) != op(e3,e4)
& op(e0,e4) != op(e4,e4)
& op(e1,e0) != op(e1,e1)
& op(e1,e0) != op(e1,e2)
& op(e1,e0) != op(e1,e3)
& op(e1,e0) != op(e1,e4)
& op(e1,e0) != op(e2,e0)
& op(e1,e0) != op(e3,e0)
& op(e1,e0) != op(e4,e0)
& op(e1,e1) != op(e1,e2)
& op(e1,e1) != op(e1,e3)
& op(e1,e1) != op(e1,e4)
& op(e1,e1) != op(e2,e1)
& op(e1,e1) != op(e3,e1)
& op(e1,e1) != op(e4,e1)
& op(e1,e2) != op(e1,e3)
& op(e1,e2) != op(e1,e4)
& op(e1,e2) != op(e2,e2)
& op(e1,e2) != op(e3,e2)
& op(e1,e2) != op(e4,e2)
& op(e1,e3) != op(e1,e4)
& op(e1,e3) != op(e2,e3)
& op(e1,e3) != op(e3,e3)
& op(e1,e3) != op(e4,e3)
& op(e1,e4) != op(e2,e4)
& op(e1,e4) != op(e3,e4)
& op(e1,e4) != op(e4,e4)
& op(e2,e0) != op(e2,e1)
& op(e2,e0) != op(e2,e2)
& op(e2,e0) != op(e2,e3)
& op(e2,e0) != op(e2,e4)
& op(e2,e0) != op(e3,e0)
& op(e2,e0) != op(e4,e0)
& op(e2,e1) != op(e2,e2)
& op(e2,e1) != op(e2,e3)
& op(e2,e1) != op(e2,e4)
& op(e2,e1) != op(e3,e1)
& op(e2,e1) != op(e4,e1)
& op(e2,e2) != op(e2,e3)
& op(e2,e2) != op(e2,e4)
& op(e2,e2) != op(e3,e2)
& op(e2,e2) != op(e4,e2)
& op(e2,e3) != op(e2,e4)
& op(e2,e3) != op(e3,e3)
& op(e2,e3) != op(e4,e3)
& op(e2,e4) != op(e3,e4)
& op(e2,e4) != op(e4,e4)
& op(e3,e0) != op(e3,e1)
& op(e3,e0) != op(e3,e2)
& op(e3,e0) != op(e3,e3)
& op(e3,e0) != op(e3,e4)
& op(e3,e0) != op(e4,e0)
& op(e3,e1) != op(e3,e2)
& op(e3,e1) != op(e3,e3)
& op(e3,e1) != op(e3,e4)
& op(e3,e1) != op(e4,e1)
& op(e3,e2) != op(e3,e3)
& op(e3,e2) != op(e3,e4)
& op(e3,e2) != op(e4,e2)
& op(e3,e3) != op(e3,e4)
& op(e3,e3) != op(e4,e3)
& op(e3,e4) != op(e4,e4)
& op(e4,e0) != op(e4,e1)
& op(e4,e0) != op(e4,e2)
& op(e4,e0) != op(e4,e3)
& op(e4,e0) != op(e4,e4)
& op(e4,e1) != op(e4,e2)
& op(e4,e1) != op(e4,e3)
& op(e4,e1) != op(e4,e4)
& op(e4,e2) != op(e4,e3)
& op(e4,e2) != op(e4,e4)
& op(e4,e3) != op(e4,e4) ),
inference(canonicalize,[],[ax4]) ).
fof(normalize_4_7,plain,
op(e1,e2) != op(e3,e2),
inference(conjunct,[],[normalize_4_6]) ).
fof(normalize_4_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_4_9,plain,
( op(e3,e2) = e0
| op(e3,e2) = e1
| op(e3,e2) = e2
| op(e3,e2) = e3
| op(e3,e2) = e4 ),
inference(conjunct,[],[normalize_4_8]) ).
fof(normalize_4_10,plain,
op(e2,e2) != op(e3,e2),
inference(conjunct,[],[normalize_4_6]) ).
fof(normalize_4_11,plain,
( e0 = op(op(e2,e2),op(e2,e2))
& e1 = op(op(e2,op(e2,e2)),op(e2,e2))
& e3 = op(e2,op(e2,e2))
& e4 = op(e2,e2) ),
inference(canonicalize,[],[ax6]) ).
fof(normalize_4_12,plain,
e4 = op(e2,e2),
inference(conjunct,[],[normalize_4_11]) ).
fof(normalize_4_13,plain,
op(e3,e2) != op(e3,e4),
inference(conjunct,[],[normalize_4_6]) ).
fof(normalize_4_14,plain,
e1 = op(op(e2,op(e2,e2)),op(e2,e2)),
inference(conjunct,[],[normalize_4_11]) ).
fof(normalize_4_15,plain,
e3 = op(e2,op(e2,e2)),
inference(conjunct,[],[normalize_4_11]) ).
fof(normalize_4_16,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_17,plain,
op(unit,e2) = e2,
inference(conjunct,[],[normalize_4_16]) ).
fof(normalize_4_18,plain,
op(e4,e0) != op(e0,e4),
inference(conjunct,[],[normalize_4_0]) ).
fof(normalize_4_19,plain,
op(e4,unit) = e4,
inference(conjunct,[],[normalize_4_16]) ).
fof(normalize_4_20,plain,
op(unit,e4) = e4,
inference(conjunct,[],[normalize_4_16]) ).
fof(normalize_4_21,plain,
op(unit,e3) = e3,
inference(conjunct,[],[normalize_4_16]) ).
fof(normalize_4_22,plain,
( unit = e0
| unit = e1
| unit = e2
| unit = e3
| unit = e4 ),
inference(conjunct,[],[normalize_4_16]) ).
fof(normalize_4_23,plain,
op(e2,e3) != op(e2,e4),
inference(conjunct,[],[normalize_4_6]) ).
fof(normalize_4_24,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_25,plain,
e1 != e4,
inference(conjunct,[],[normalize_4_24]) ).
fof(normalize_4_26,plain,
e0 = op(op(e2,e2),op(e2,e2)),
inference(conjunct,[],[normalize_4_11]) ).
fof(normalize_4_27,plain,
e0 != e4,
inference(conjunct,[],[normalize_4_24]) ).
fof(normalize_4_28,plain,
op(e3,e1) != op(e3,e2),
inference(conjunct,[],[normalize_4_6]) ).
fof(normalize_4_29,plain,
op(e3,unit) = e3,
inference(conjunct,[],[normalize_4_16]) ).
fof(normalize_4_30,plain,
op(e0,e0) != op(e3,e0),
inference(conjunct,[],[normalize_4_6]) ).
fof(normalize_4_31,plain,
( op(e3,e0) = e0
| op(e3,e0) = e1
| op(e3,e0) = e2
| op(e3,e0) = e3
| op(e3,e0) = e4 ),
inference(conjunct,[],[normalize_4_8]) ).
fof(normalize_4_32,plain,
op(e3,e0) != op(e3,e2),
inference(conjunct,[],[normalize_4_6]) ).
fof(normalize_4_33,plain,
op(e3,e0) != op(e3,e4),
inference(conjunct,[],[normalize_4_6]) ).
fof(normalize_4_34,plain,
op(e3,e0) != op(e3,e1),
inference(conjunct,[],[normalize_4_6]) ).
fof(normalize_4_35,plain,
( ~ definitionFOFtoCNF_16
<=> ( op(e2,op(e0,e2)) != e0
| op(e0,op(e0,e2)) = e2 ) ),
inference(canonicalize,[],[definition_0]) ).
fof(normalize_4_36,plain,
( ( op(e0,op(e0,e2)) != e2
| ~ definitionFOFtoCNF_16 )
& ( ~ definitionFOFtoCNF_16
| op(e2,op(e0,e2)) = e0 )
& ( op(e2,op(e0,e2)) != e0
| op(e0,op(e0,e2)) = e2
| definitionFOFtoCNF_16 ) ),
inference(clausify,[],[normalize_4_35]) ).
fof(normalize_4_37,plain,
( ~ definitionFOFtoCNF_16
| op(e2,op(e0,e2)) = e0 ),
inference(conjunct,[],[normalize_4_36]) ).
fof(normalize_4_38,plain,
( ( op(e0,op(e0,e2)) != e2
& op(e2,op(e0,e2)) = e0 )
| ( op(e1,op(e1,e2)) != e2
& op(e2,op(e1,e2)) = e1 )
| ( op(e3,op(e3,e2)) != e2
& op(e2,op(e3,e2)) = e3 )
| ( op(e4,op(e4,e2)) != e2
& op(e2,op(e4,e2)) = e4 ) ),
inference(conjunct,[],[normalize_4_0]) ).
fof(normalize_4_39,plain,
( definitionFOFtoCNF_16
| ( op(e1,op(e1,e2)) != e2
& op(e2,op(e1,e2)) = e1 )
| ( op(e3,op(e3,e2)) != e2
& op(e2,op(e3,e2)) = e3 )
| ( op(e4,op(e4,e2)) != e2
& op(e2,op(e4,e2)) = e4 ) ),
inference(simplify,[],[normalize_4_38,normalize_4_35]) ).
fof(normalize_4_40,plain,
( ( op(e1,op(e1,e2)) != e2
| op(e3,op(e3,e2)) != e2
| op(e4,op(e4,e2)) != e2
| definitionFOFtoCNF_16 )
& ( op(e1,op(e1,e2)) != e2
| op(e3,op(e3,e2)) != e2
| op(e2,op(e4,e2)) = e4
| definitionFOFtoCNF_16 )
& ( op(e1,op(e1,e2)) != e2
| op(e4,op(e4,e2)) != e2
| op(e2,op(e3,e2)) = e3
| definitionFOFtoCNF_16 )
& ( op(e1,op(e1,e2)) != e2
| op(e2,op(e3,e2)) = e3
| op(e2,op(e4,e2)) = e4
| definitionFOFtoCNF_16 )
& ( op(e3,op(e3,e2)) != e2
| op(e4,op(e4,e2)) != e2
| op(e2,op(e1,e2)) = e1
| definitionFOFtoCNF_16 )
& ( op(e3,op(e3,e2)) != e2
| op(e2,op(e1,e2)) = e1
| op(e2,op(e4,e2)) = e4
| definitionFOFtoCNF_16 )
& ( op(e4,op(e4,e2)) != e2
| op(e2,op(e1,e2)) = e1
| op(e2,op(e3,e2)) = e3
| definitionFOFtoCNF_16 )
& ( op(e2,op(e1,e2)) = e1
| op(e2,op(e3,e2)) = e3
| op(e2,op(e4,e2)) = e4
| definitionFOFtoCNF_16 ) ),
inference(clausify,[],[normalize_4_39]) ).
fof(normalize_4_41,plain,
( op(e1,op(e1,e2)) != e2
| op(e2,op(e3,e2)) = e3
| op(e2,op(e4,e2)) = e4
| definitionFOFtoCNF_16 ),
inference(conjunct,[],[normalize_4_40]) ).
fof(normalize_4_42,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_4_43,plain,
( op(e2,e0) = e1
| op(e2,e1) = e1
| op(e2,e2) = e1
| op(e2,e3) = e1
| op(e2,e4) = e1 ),
inference(conjunct,[],[normalize_4_42]) ).
fof(normalize_4_44,plain,
e1 != e3,
inference(conjunct,[],[normalize_4_24]) ).
fof(normalize_4_45,plain,
op(e2,unit) = e2,
inference(conjunct,[],[normalize_4_16]) ).
fof(normalize_4_46,plain,
e1 != e2,
inference(conjunct,[],[normalize_4_24]) ).
fof(normalize_4_47,plain,
( op(e0,e3) = e0
| op(e1,e3) = e0
| op(e2,e3) = e0
| op(e3,e3) = e0
| op(e4,e3) = e0 ),
inference(conjunct,[],[normalize_4_42]) ).
fof(normalize_4_48,plain,
e0 != e3,
inference(conjunct,[],[normalize_4_24]) ).
fof(normalize_4_49,plain,
op(e0,e1) != op(e0,e3),
inference(conjunct,[],[normalize_4_6]) ).
fof(normalize_4_50,plain,
op(e0,unit) = e0,
inference(conjunct,[],[normalize_4_16]) ).
fof(normalize_4_51,plain,
op(e3,e2) != op(e3,e3),
inference(conjunct,[],[normalize_4_6]) ).
fof(normalize_4_52,plain,
op(e4,e3) != op(e4,e4),
inference(conjunct,[],[normalize_4_6]) ).
fof(normalize_4_53,plain,
e0 != e1,
inference(conjunct,[],[normalize_4_24]) ).
fof(normalize_4_54,plain,
op(e0,e2) != op(e4,e2),
inference(conjunct,[],[normalize_4_6]) ).
fof(normalize_4_55,plain,
( op(e4,e2) = e0
| op(e4,e2) = e1
| op(e4,e2) = e2
| op(e4,e2) = e3
| op(e4,e2) = e4 ),
inference(conjunct,[],[normalize_4_8]) ).
fof(normalize_4_56,plain,
op(e2,e2) != op(e4,e2),
inference(conjunct,[],[normalize_4_6]) ).
fof(normalize_4_57,plain,
op(e4,e2) != op(e4,e4),
inference(conjunct,[],[normalize_4_6]) ).
fof(normalize_4_58,plain,
op(e1,e2) != op(e4,e2),
inference(conjunct,[],[normalize_4_6]) ).
fof(normalize_4_59,plain,
op(e0,e0) != op(e0,e2),
inference(conjunct,[],[normalize_4_6]) ).
fof(normalize_4_60,plain,
( op(e1,op(e1,e2)) != e2
| op(e3,op(e3,e2)) != e2
| op(e2,op(e4,e2)) = e4
| definitionFOFtoCNF_16 ),
inference(conjunct,[],[normalize_4_40]) ).
fof(normalize_4_61,plain,
op(e4,e0) != op(e4,e2),
inference(conjunct,[],[normalize_4_6]) ).
fof(normalize_4_62,plain,
( op(e0,e0) = e3
| op(e1,e0) = e3
| op(e2,e0) = e3
| op(e3,e0) = e3
| op(e4,e0) = e3 ),
inference(conjunct,[],[normalize_4_42]) ).
fof(normalize_4_63,plain,
op(unit,e0) = e0,
inference(conjunct,[],[normalize_4_16]) ).
fof(normalize_4_64,plain,
op(e2,e0) != op(e2,e4),
inference(conjunct,[],[normalize_4_6]) ).
fof(normalize_4_65,plain,
( op(e0,e0) = e1
| op(e0,e1) = e1
| op(e0,e2) = e1
| op(e0,e3) = e1
| op(e0,e4) = e1 ),
inference(conjunct,[],[normalize_4_42]) ).
fof(normalize_4_66,plain,
op(e0,e4) != op(e3,e4),
inference(conjunct,[],[normalize_4_6]) ).
fof(normalize_4_67,plain,
( op(e0,e0) = e4
| op(e0,e1) = e4
| op(e0,e2) = e4
| op(e0,e3) = e4
| op(e0,e4) = e4 ),
inference(conjunct,[],[normalize_4_42]) ).
fof(normalize_4_68,plain,
op(e0,e2) != op(e2,e2),
inference(conjunct,[],[normalize_4_6]) ).
fof(normalize_4_69,plain,
op(e0,e4) != op(e1,e4),
inference(conjunct,[],[normalize_4_6]) ).
fof(normalize_4_70,plain,
op(e0,e0) != op(e2,e0),
inference(conjunct,[],[normalize_4_6]) ).
fof(normalize_4_71,plain,
e2 != e4,
inference(conjunct,[],[normalize_4_24]) ).
fof(normalize_4_72,plain,
( op(e0,e2) = e1
| op(e1,e2) = e1
| op(e2,e2) = e1
| op(e3,e2) = e1
| op(e4,e2) = e1 ),
inference(conjunct,[],[normalize_4_42]) ).
fof(normalize_4_73,plain,
( op(e0,e2) = e3
| op(e1,e2) = e3
| op(e2,e2) = e3
| op(e3,e2) = e3
| op(e4,e2) = e3 ),
inference(conjunct,[],[normalize_4_42]) ).
fof(normalize_4_74,plain,
e3 != e4,
inference(conjunct,[],[normalize_4_24]) ).
fof(normalize_4_75,plain,
e2 != e3,
inference(conjunct,[],[normalize_4_24]) ).
fof(normalize_4_76,plain,
e0 != e2,
inference(conjunct,[],[normalize_4_24]) ).
fof(normalize_4_77,plain,
( ( op(e1,op(e1,e0)) != e0
| ~ definitionFOFtoCNF_19 )
& ( ~ definitionFOFtoCNF_19
| op(e0,op(e1,e0)) = e1 )
& ( op(e0,op(e1,e0)) != e1
| op(e1,op(e1,e0)) = e0
| definitionFOFtoCNF_19 ) ),
inference(clausify,[],[normalize_4_2]) ).
fof(normalize_4_78,plain,
( op(e1,op(e1,e0)) != e0
| ~ definitionFOFtoCNF_19 ),
inference(conjunct,[],[normalize_4_77]) ).
cnf(refute_4_0,plain,
( op(e3,op(e3,e0)) != e0
| op(e0,op(e2,e0)) = e2
| op(e0,op(e4,e0)) = e4
| definitionFOFtoCNF_19 ),
inference(canonicalize,[],[normalize_4_5]) ).
cnf(refute_4_1,plain,
op(e1,e2) != op(e3,e2),
inference(canonicalize,[],[normalize_4_7]) ).
cnf(refute_4_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_4_9]) ).
cnf(refute_4_3,plain,
op(e2,e2) != op(e3,e2),
inference(canonicalize,[],[normalize_4_10]) ).
cnf(refute_4_4,plain,
e4 = op(e2,e2),
inference(canonicalize,[],[normalize_4_12]) ).
cnf(refute_4_5,plain,
X = X,
introduced(tautology,[refl,[$fot(X)]]) ).
cnf(refute_4_6,plain,
( X != X
| X != Y
| Y = X ),
introduced(tautology,[equality,[$cnf( $equal(X,X) ),[0],$fot(Y)]]) ).
cnf(refute_4_7,plain,
( X != Y
| Y = X ),
inference(resolve,[$cnf( $equal(X,X) )],[refute_4_5,refute_4_6]) ).
cnf(refute_4_8,plain,
( e4 != op(e2,e2)
| op(e2,e2) = e4 ),
inference(subst,[],[refute_4_7:[bind(X,$fot(e4)),bind(Y,$fot(op(e2,e2)))]]) ).
cnf(refute_4_9,plain,
op(e2,e2) = e4,
inference(resolve,[$cnf( $equal(e4,op(e2,e2)) )],[refute_4_4,refute_4_8]) ).
cnf(refute_4_10,plain,
( e4 != op(e3,e2)
| op(e2,e2) != e4
| op(e2,e2) = op(e3,e2) ),
introduced(tautology,[equality,[$cnf( $equal(op(e2,e2),e4) ),[1],$fot(op(e3,e2))]]) ).
cnf(refute_4_11,plain,
( e4 != op(e3,e2)
| op(e2,e2) = op(e3,e2) ),
inference(resolve,[$cnf( $equal(op(e2,e2),e4) )],[refute_4_9,refute_4_10]) ).
cnf(refute_4_12,plain,
e4 != op(e3,e2),
inference(resolve,[$cnf( $equal(op(e2,e2),op(e3,e2)) )],[refute_4_11,refute_4_3]) ).
cnf(refute_4_13,plain,
( op(e3,e2) != e4
| e4 = op(e3,e2) ),
inference(subst,[],[refute_4_7:[bind(X,$fot(op(e3,e2))),bind(Y,$fot(e4))]]) ).
cnf(refute_4_14,plain,
op(e3,e2) != e4,
inference(resolve,[$cnf( $equal(e4,op(e3,e2)) )],[refute_4_13,refute_4_12]) ).
cnf(refute_4_15,plain,
( op(e3,e2) = e0
| op(e3,e2) = e1
| op(e3,e2) = e2
| op(e3,e2) = e3 ),
inference(resolve,[$cnf( $equal(op(e3,e2),e4) )],[refute_4_2,refute_4_14]) ).
cnf(refute_4_16,plain,
op(e3,e2) != op(e3,e4),
inference(canonicalize,[],[normalize_4_13]) ).
cnf(refute_4_17,plain,
e1 = op(op(e2,op(e2,e2)),op(e2,e2)),
inference(canonicalize,[],[normalize_4_14]) ).
cnf(refute_4_18,plain,
op(e3,op(e2,e2)) = op(e3,op(e2,e2)),
introduced(tautology,[refl,[$fot(op(e3,op(e2,e2)))]]) ).
cnf(refute_4_19,plain,
( op(e2,e2) != e4
| op(e3,op(e2,e2)) != op(e3,op(e2,e2))
| op(e3,op(e2,e2)) = op(e3,e4) ),
introduced(tautology,[equality,[$cnf( $equal(op(e3,op(e2,e2)),op(e3,op(e2,e2))) ),[1,1],$fot(e4)]]) ).
cnf(refute_4_20,plain,
( op(e2,e2) != e4
| op(e3,op(e2,e2)) = op(e3,e4) ),
inference(resolve,[$cnf( $equal(op(e3,op(e2,e2)),op(e3,op(e2,e2))) )],[refute_4_18,refute_4_19]) ).
cnf(refute_4_21,plain,
op(e3,op(e2,e2)) = op(e3,e4),
inference(resolve,[$cnf( $equal(op(e2,e2),e4) )],[refute_4_9,refute_4_20]) ).
cnf(refute_4_22,plain,
e3 = op(e2,op(e2,e2)),
inference(canonicalize,[],[normalize_4_15]) ).
cnf(refute_4_23,plain,
( e3 != op(e2,op(e2,e2))
| op(e2,op(e2,e2)) = e3 ),
inference(subst,[],[refute_4_7:[bind(X,$fot(e3)),bind(Y,$fot(op(e2,op(e2,e2))))]]) ).
cnf(refute_4_24,plain,
op(e2,op(e2,e2)) = e3,
inference(resolve,[$cnf( $equal(e3,op(e2,op(e2,e2))) )],[refute_4_22,refute_4_23]) ).
cnf(refute_4_25,plain,
op(op(e2,op(e2,e2)),op(e2,e2)) = op(op(e2,op(e2,e2)),op(e2,e2)),
introduced(tautology,[refl,[$fot(op(op(e2,op(e2,e2)),op(e2,e2)))]]) ).
cnf(refute_4_26,plain,
( op(e2,op(e2,e2)) != e3
| op(op(e2,op(e2,e2)),op(e2,e2)) != op(op(e2,op(e2,e2)),op(e2,e2))
| op(op(e2,op(e2,e2)),op(e2,e2)) = op(e3,op(e2,e2)) ),
introduced(tautology,[equality,[$cnf( $equal(op(op(e2,op(e2,e2)),op(e2,e2)),op(op(e2,op(e2,e2)),op(e2,e2))) ),[1,0],$fot(e3)]]) ).
cnf(refute_4_27,plain,
( op(e2,op(e2,e2)) != e3
| op(op(e2,op(e2,e2)),op(e2,e2)) = op(e3,op(e2,e2)) ),
inference(resolve,[$cnf( $equal(op(op(e2,op(e2,e2)),op(e2,e2)),op(op(e2,op(e2,e2)),op(e2,e2))) )],[refute_4_25,refute_4_26]) ).
cnf(refute_4_28,plain,
op(op(e2,op(e2,e2)),op(e2,e2)) = op(e3,op(e2,e2)),
inference(resolve,[$cnf( $equal(op(e2,op(e2,e2)),e3) )],[refute_4_24,refute_4_27]) ).
cnf(refute_4_29,plain,
( Y != X
| Y != Z
| X = Z ),
introduced(tautology,[equality,[$cnf( $equal(Y,Z) ),[0],$fot(X)]]) ).
cnf(refute_4_30,plain,
( X != Y
| Y != Z
| X = Z ),
inference(resolve,[$cnf( $equal(Y,X) )],[refute_4_7,refute_4_29]) ).
cnf(refute_4_31,plain,
( op(e3,op(e2,e2)) != op(e3,e4)
| op(op(e2,op(e2,e2)),op(e2,e2)) != op(e3,op(e2,e2))
| op(op(e2,op(e2,e2)),op(e2,e2)) = op(e3,e4) ),
inference(subst,[],[refute_4_30:[bind(X,$fot(op(op(e2,op(e2,e2)),op(e2,e2)))),bind(Y,$fot(op(e3,op(e2,e2)))),bind(Z,$fot(op(e3,e4)))]]) ).
cnf(refute_4_32,plain,
( op(e3,op(e2,e2)) != op(e3,e4)
| op(op(e2,op(e2,e2)),op(e2,e2)) = op(e3,e4) ),
inference(resolve,[$cnf( $equal(op(op(e2,op(e2,e2)),op(e2,e2)),op(e3,op(e2,e2))) )],[refute_4_28,refute_4_31]) ).
cnf(refute_4_33,plain,
op(op(e2,op(e2,e2)),op(e2,e2)) = op(e3,e4),
inference(resolve,[$cnf( $equal(op(e3,op(e2,e2)),op(e3,e4)) )],[refute_4_21,refute_4_32]) ).
cnf(refute_4_34,plain,
( e1 != op(op(e2,op(e2,e2)),op(e2,e2))
| op(op(e2,op(e2,e2)),op(e2,e2)) != op(e3,e4)
| e1 = op(e3,e4) ),
introduced(tautology,[equality,[$cnf( ~ $equal(e1,op(e3,e4)) ),[0],$fot(op(op(e2,op(e2,e2)),op(e2,e2)))]]) ).
cnf(refute_4_35,plain,
( e1 != op(op(e2,op(e2,e2)),op(e2,e2))
| e1 = op(e3,e4) ),
inference(resolve,[$cnf( $equal(op(op(e2,op(e2,e2)),op(e2,e2)),op(e3,e4)) )],[refute_4_33,refute_4_34]) ).
cnf(refute_4_36,plain,
e1 = op(e3,e4),
inference(resolve,[$cnf( $equal(e1,op(op(e2,op(e2,e2)),op(e2,e2))) )],[refute_4_17,refute_4_35]) ).
cnf(refute_4_37,plain,
( e1 != op(e3,e4)
| op(e3,e4) = e1 ),
inference(subst,[],[refute_4_7:[bind(X,$fot(e1)),bind(Y,$fot(op(e3,e4)))]]) ).
cnf(refute_4_38,plain,
op(e3,e4) = e1,
inference(resolve,[$cnf( $equal(e1,op(e3,e4)) )],[refute_4_36,refute_4_37]) ).
cnf(refute_4_39,plain,
( op(e3,e2) != e1
| op(e3,e4) != e1
| op(e3,e2) = op(e3,e4) ),
introduced(tautology,[equality,[$cnf( ~ $equal(op(e3,e2),op(e3,e4)) ),[1],$fot(e1)]]) ).
cnf(refute_4_40,plain,
( op(e3,e2) != e1
| op(e3,e2) = op(e3,e4) ),
inference(resolve,[$cnf( $equal(op(e3,e4),e1) )],[refute_4_38,refute_4_39]) ).
cnf(refute_4_41,plain,
op(e3,e2) != e1,
inference(resolve,[$cnf( $equal(op(e3,e2),op(e3,e4)) )],[refute_4_40,refute_4_16]) ).
cnf(refute_4_42,plain,
( op(e3,e2) = e0
| op(e3,e2) = e2
| op(e3,e2) = e3 ),
inference(resolve,[$cnf( $equal(op(e3,e2),e1) )],[refute_4_15,refute_4_41]) ).
cnf(refute_4_43,plain,
( op(e1,e2) != e2
| op(e3,e2) != e2
| op(e1,e2) = op(e3,e2) ),
introduced(tautology,[equality,[$cnf( ~ $equal(op(e1,e2),op(e3,e2)) ),[1],$fot(e2)]]) ).
cnf(refute_4_44,plain,
( op(e1,e2) != e2
| op(e1,e2) = op(e3,e2)
| op(e3,e2) = e0
| op(e3,e2) = e3 ),
inference(resolve,[$cnf( $equal(op(e3,e2),e2) )],[refute_4_42,refute_4_43]) ).
cnf(refute_4_45,plain,
( op(e1,e2) != e2
| op(e3,e2) = e0
| op(e3,e2) = e3 ),
inference(resolve,[$cnf( $equal(op(e1,e2),op(e3,e2)) )],[refute_4_44,refute_4_1]) ).
cnf(refute_4_46,plain,
op(unit,e2) = e2,
inference(canonicalize,[],[normalize_4_17]) ).
cnf(refute_4_47,plain,
op(e4,e0) != op(e0,e4),
inference(canonicalize,[],[normalize_4_18]) ).
cnf(refute_4_48,plain,
op(e4,unit) = e4,
inference(canonicalize,[],[normalize_4_19]) ).
cnf(refute_4_49,plain,
op(unit,e4) = e4,
inference(canonicalize,[],[normalize_4_20]) ).
cnf(refute_4_50,plain,
op(unit,e3) = e3,
inference(canonicalize,[],[normalize_4_21]) ).
cnf(refute_4_51,plain,
( unit = e0
| unit = e1
| unit = e2
| unit = e3
| unit = e4 ),
inference(canonicalize,[],[normalize_4_22]) ).
cnf(refute_4_52,plain,
( op(unit,e3) != e3
| unit != e2
| op(e2,e3) = e3 ),
introduced(tautology,[equality,[$cnf( $equal(op(unit,e3),e3) ),[0,0],$fot(e2)]]) ).
cnf(refute_4_53,plain,
( op(unit,e3) != e3
| op(e2,e3) = e3
| unit = e0
| unit = e1
| unit = e3
| unit = e4 ),
inference(resolve,[$cnf( $equal(unit,e2) )],[refute_4_51,refute_4_52]) ).
cnf(refute_4_54,plain,
( op(e2,e3) = e3
| unit = e0
| unit = e1
| unit = e3
| unit = e4 ),
inference(resolve,[$cnf( $equal(op(unit,e3),e3) )],[refute_4_50,refute_4_53]) ).
cnf(refute_4_55,plain,
op(e2,e3) != op(e2,e4),
inference(canonicalize,[],[normalize_4_23]) ).
cnf(refute_4_56,plain,
op(e2,op(e2,e2)) = op(e2,op(e2,e2)),
introduced(tautology,[refl,[$fot(op(e2,op(e2,e2)))]]) ).
cnf(refute_4_57,plain,
( op(e2,e2) != e4
| op(e2,op(e2,e2)) != op(e2,op(e2,e2))
| op(e2,op(e2,e2)) = op(e2,e4) ),
introduced(tautology,[equality,[$cnf( $equal(op(e2,op(e2,e2)),op(e2,op(e2,e2))) ),[1,1],$fot(e4)]]) ).
cnf(refute_4_58,plain,
( op(e2,e2) != e4
| op(e2,op(e2,e2)) = op(e2,e4) ),
inference(resolve,[$cnf( $equal(op(e2,op(e2,e2)),op(e2,op(e2,e2))) )],[refute_4_56,refute_4_57]) ).
cnf(refute_4_59,plain,
op(e2,op(e2,e2)) = op(e2,e4),
inference(resolve,[$cnf( $equal(op(e2,e2),e4) )],[refute_4_9,refute_4_58]) ).
cnf(refute_4_60,plain,
( e3 != op(e2,op(e2,e2))
| op(e2,op(e2,e2)) != op(e2,e4)
| e3 = op(e2,e4) ),
introduced(tautology,[equality,[$cnf( ~ $equal(e3,op(e2,e4)) ),[0],$fot(op(e2,op(e2,e2)))]]) ).
cnf(refute_4_61,plain,
( e3 != op(e2,op(e2,e2))
| e3 = op(e2,e4) ),
inference(resolve,[$cnf( $equal(op(e2,op(e2,e2)),op(e2,e4)) )],[refute_4_59,refute_4_60]) ).
cnf(refute_4_62,plain,
e3 = op(e2,e4),
inference(resolve,[$cnf( $equal(e3,op(e2,op(e2,e2))) )],[refute_4_22,refute_4_61]) ).
cnf(refute_4_63,plain,
( e3 != op(e2,e4)
| op(e2,e4) = e3 ),
inference(subst,[],[refute_4_7:[bind(X,$fot(e3)),bind(Y,$fot(op(e2,e4)))]]) ).
cnf(refute_4_64,plain,
op(e2,e4) = e3,
inference(resolve,[$cnf( $equal(e3,op(e2,e4)) )],[refute_4_62,refute_4_63]) ).
cnf(refute_4_65,plain,
( op(e2,e3) != e3
| op(e2,e4) != e3
| op(e2,e3) = op(e2,e4) ),
introduced(tautology,[equality,[$cnf( ~ $equal(op(e2,e3),op(e2,e4)) ),[1],$fot(e3)]]) ).
cnf(refute_4_66,plain,
( op(e2,e3) != e3
| op(e2,e3) = op(e2,e4) ),
inference(resolve,[$cnf( $equal(op(e2,e4),e3) )],[refute_4_64,refute_4_65]) ).
cnf(refute_4_67,plain,
op(e2,e3) != e3,
inference(resolve,[$cnf( $equal(op(e2,e3),op(e2,e4)) )],[refute_4_66,refute_4_55]) ).
cnf(refute_4_68,plain,
( unit = e0
| unit = e1
| unit = e3
| unit = e4 ),
inference(resolve,[$cnf( $equal(op(e2,e3),e3) )],[refute_4_54,refute_4_67]) ).
cnf(refute_4_69,plain,
( op(unit,e4) != e4
| unit != e3
| op(e3,e4) = e4 ),
introduced(tautology,[equality,[$cnf( $equal(op(unit,e4),e4) ),[0,0],$fot(e3)]]) ).
cnf(refute_4_70,plain,
( op(unit,e4) != e4
| op(e3,e4) = e4
| unit = e0
| unit = e1
| unit = e4 ),
inference(resolve,[$cnf( $equal(unit,e3) )],[refute_4_68,refute_4_69]) ).
cnf(refute_4_71,plain,
( op(e3,e4) = e4
| unit = e0
| unit = e1
| unit = e4 ),
inference(resolve,[$cnf( $equal(op(unit,e4),e4) )],[refute_4_49,refute_4_70]) ).
cnf(refute_4_72,plain,
( op(e3,e4) != e1
| op(e3,e4) != e4
| e1 = e4 ),
introduced(tautology,[equality,[$cnf( $equal(op(e3,e4),e4) ),[0],$fot(e1)]]) ).
cnf(refute_4_73,plain,
( op(e3,e4) != e4
| e1 = e4 ),
inference(resolve,[$cnf( $equal(op(e3,e4),e1) )],[refute_4_38,refute_4_72]) ).
cnf(refute_4_74,plain,
( e1 = e4
| unit = e0
| unit = e1
| unit = e4 ),
inference(resolve,[$cnf( $equal(op(e3,e4),e4) )],[refute_4_71,refute_4_73]) ).
cnf(refute_4_75,plain,
e1 != e4,
inference(canonicalize,[],[normalize_4_25]) ).
cnf(refute_4_76,plain,
( unit = e0
| unit = e1
| unit = e4 ),
inference(resolve,[$cnf( $equal(e1,e4) )],[refute_4_74,refute_4_75]) ).
cnf(refute_4_77,plain,
( op(e4,unit) != e4
| unit != e4
| op(e4,e4) = e4 ),
introduced(tautology,[equality,[$cnf( $equal(op(e4,unit),e4) ),[0,1],$fot(e4)]]) ).
cnf(refute_4_78,plain,
( op(e4,unit) != e4
| op(e4,e4) = e4
| unit = e0
| unit = e1 ),
inference(resolve,[$cnf( $equal(unit,e4) )],[refute_4_76,refute_4_77]) ).
cnf(refute_4_79,plain,
( op(e4,e4) = e4
| unit = e0
| unit = e1 ),
inference(resolve,[$cnf( $equal(op(e4,unit),e4) )],[refute_4_48,refute_4_78]) ).
cnf(refute_4_80,plain,
e0 = op(op(e2,e2),op(e2,e2)),
inference(canonicalize,[],[normalize_4_26]) ).
cnf(refute_4_81,plain,
op(e4,op(e2,e2)) = op(e4,op(e2,e2)),
introduced(tautology,[refl,[$fot(op(e4,op(e2,e2)))]]) ).
cnf(refute_4_82,plain,
( op(e2,e2) != e4
| op(e4,op(e2,e2)) != op(e4,op(e2,e2))
| op(e4,op(e2,e2)) = op(e4,e4) ),
introduced(tautology,[equality,[$cnf( $equal(op(e4,op(e2,e2)),op(e4,op(e2,e2))) ),[1,1],$fot(e4)]]) ).
cnf(refute_4_83,plain,
( op(e2,e2) != e4
| op(e4,op(e2,e2)) = op(e4,e4) ),
inference(resolve,[$cnf( $equal(op(e4,op(e2,e2)),op(e4,op(e2,e2))) )],[refute_4_81,refute_4_82]) ).
cnf(refute_4_84,plain,
op(e4,op(e2,e2)) = op(e4,e4),
inference(resolve,[$cnf( $equal(op(e2,e2),e4) )],[refute_4_9,refute_4_83]) ).
cnf(refute_4_85,plain,
op(op(e2,e2),op(e2,e2)) = op(op(e2,e2),op(e2,e2)),
introduced(tautology,[refl,[$fot(op(op(e2,e2),op(e2,e2)))]]) ).
cnf(refute_4_86,plain,
( op(e2,e2) != e4
| op(op(e2,e2),op(e2,e2)) != op(op(e2,e2),op(e2,e2))
| op(op(e2,e2),op(e2,e2)) = op(e4,op(e2,e2)) ),
introduced(tautology,[equality,[$cnf( $equal(op(op(e2,e2),op(e2,e2)),op(op(e2,e2),op(e2,e2))) ),[1,0],$fot(e4)]]) ).
cnf(refute_4_87,plain,
( op(e2,e2) != e4
| op(op(e2,e2),op(e2,e2)) = op(e4,op(e2,e2)) ),
inference(resolve,[$cnf( $equal(op(op(e2,e2),op(e2,e2)),op(op(e2,e2),op(e2,e2))) )],[refute_4_85,refute_4_86]) ).
cnf(refute_4_88,plain,
op(op(e2,e2),op(e2,e2)) = op(e4,op(e2,e2)),
inference(resolve,[$cnf( $equal(op(e2,e2),e4) )],[refute_4_9,refute_4_87]) ).
cnf(refute_4_89,plain,
( op(e4,op(e2,e2)) != op(e4,e4)
| op(op(e2,e2),op(e2,e2)) != op(e4,op(e2,e2))
| op(op(e2,e2),op(e2,e2)) = op(e4,e4) ),
inference(subst,[],[refute_4_30:[bind(X,$fot(op(op(e2,e2),op(e2,e2)))),bind(Y,$fot(op(e4,op(e2,e2)))),bind(Z,$fot(op(e4,e4)))]]) ).
cnf(refute_4_90,plain,
( op(e4,op(e2,e2)) != op(e4,e4)
| op(op(e2,e2),op(e2,e2)) = op(e4,e4) ),
inference(resolve,[$cnf( $equal(op(op(e2,e2),op(e2,e2)),op(e4,op(e2,e2))) )],[refute_4_88,refute_4_89]) ).
cnf(refute_4_91,plain,
op(op(e2,e2),op(e2,e2)) = op(e4,e4),
inference(resolve,[$cnf( $equal(op(e4,op(e2,e2)),op(e4,e4)) )],[refute_4_84,refute_4_90]) ).
cnf(refute_4_92,plain,
( e0 != op(op(e2,e2),op(e2,e2))
| op(op(e2,e2),op(e2,e2)) != op(e4,e4)
| e0 = op(e4,e4) ),
introduced(tautology,[equality,[$cnf( ~ $equal(e0,op(e4,e4)) ),[0],$fot(op(op(e2,e2),op(e2,e2)))]]) ).
cnf(refute_4_93,plain,
( e0 != op(op(e2,e2),op(e2,e2))
| e0 = op(e4,e4) ),
inference(resolve,[$cnf( $equal(op(op(e2,e2),op(e2,e2)),op(e4,e4)) )],[refute_4_91,refute_4_92]) ).
cnf(refute_4_94,plain,
e0 = op(e4,e4),
inference(resolve,[$cnf( $equal(e0,op(op(e2,e2),op(e2,e2))) )],[refute_4_80,refute_4_93]) ).
cnf(refute_4_95,plain,
( e0 != op(e4,e4)
| op(e4,e4) = e0 ),
inference(subst,[],[refute_4_7:[bind(X,$fot(e0)),bind(Y,$fot(op(e4,e4)))]]) ).
cnf(refute_4_96,plain,
op(e4,e4) = e0,
inference(resolve,[$cnf( $equal(e0,op(e4,e4)) )],[refute_4_94,refute_4_95]) ).
cnf(refute_4_97,plain,
( op(e4,e4) != e0
| op(e4,e4) != e4
| e0 = e4 ),
introduced(tautology,[equality,[$cnf( $equal(op(e4,e4),e4) ),[0],$fot(e0)]]) ).
cnf(refute_4_98,plain,
( op(e4,e4) != e4
| e0 = e4 ),
inference(resolve,[$cnf( $equal(op(e4,e4),e0) )],[refute_4_96,refute_4_97]) ).
cnf(refute_4_99,plain,
( e0 = e4
| unit = e0
| unit = e1 ),
inference(resolve,[$cnf( $equal(op(e4,e4),e4) )],[refute_4_79,refute_4_98]) ).
cnf(refute_4_100,plain,
e0 != e4,
inference(canonicalize,[],[normalize_4_27]) ).
cnf(refute_4_101,plain,
( unit = e0
| unit = e1 ),
inference(resolve,[$cnf( $equal(e0,e4) )],[refute_4_99,refute_4_100]) ).
cnf(refute_4_102,plain,
( op(e4,unit) != e4
| unit != e0
| op(e4,e0) = e4 ),
introduced(tautology,[equality,[$cnf( $equal(op(e4,unit),e4) ),[0,1],$fot(e0)]]) ).
cnf(refute_4_103,plain,
( op(e4,unit) != e4
| op(e4,e0) = e4
| unit = e1 ),
inference(resolve,[$cnf( $equal(unit,e0) )],[refute_4_101,refute_4_102]) ).
cnf(refute_4_104,plain,
( op(e4,e0) = e4
| unit = e1 ),
inference(resolve,[$cnf( $equal(op(e4,unit),e4) )],[refute_4_48,refute_4_103]) ).
cnf(refute_4_105,plain,
( e4 != op(e0,e4)
| op(e4,e0) != e4
| op(e4,e0) = op(e0,e4) ),
introduced(tautology,[equality,[$cnf( $equal(op(e4,e0),e4) ),[1],$fot(op(e0,e4))]]) ).
cnf(refute_4_106,plain,
( e4 != op(e0,e4)
| op(e4,e0) = op(e0,e4)
| unit = e1 ),
inference(resolve,[$cnf( $equal(op(e4,e0),e4) )],[refute_4_104,refute_4_105]) ).
cnf(refute_4_107,plain,
( e4 != op(e0,e4)
| unit = e1 ),
inference(resolve,[$cnf( $equal(op(e4,e0),op(e0,e4)) )],[refute_4_106,refute_4_47]) ).
cnf(refute_4_108,plain,
( op(unit,e4) != e4
| unit != e0
| op(e0,e4) = e4 ),
introduced(tautology,[equality,[$cnf( $equal(op(unit,e4),e4) ),[0,0],$fot(e0)]]) ).
cnf(refute_4_109,plain,
( op(unit,e4) != e4
| op(e0,e4) = e4
| unit = e1 ),
inference(resolve,[$cnf( $equal(unit,e0) )],[refute_4_101,refute_4_108]) ).
cnf(refute_4_110,plain,
( op(e0,e4) = e4
| unit = e1 ),
inference(resolve,[$cnf( $equal(op(unit,e4),e4) )],[refute_4_49,refute_4_109]) ).
cnf(refute_4_111,plain,
( e4 != e4
| op(e0,e4) != e4
| e4 = op(e0,e4) ),
introduced(tautology,[equality,[$cnf( ~ $equal(e4,op(e0,e4)) ),[1],$fot(e4)]]) ).
cnf(refute_4_112,plain,
( e4 != e4
| e4 = op(e0,e4)
| unit = e1 ),
inference(resolve,[$cnf( $equal(op(e0,e4),e4) )],[refute_4_110,refute_4_111]) ).
cnf(refute_4_113,plain,
( e4 != e4
| unit = e1 ),
inference(resolve,[$cnf( $equal(e4,op(e0,e4)) )],[refute_4_112,refute_4_107]) ).
cnf(refute_4_114,plain,
e4 = e4,
introduced(tautology,[refl,[$fot(e4)]]) ).
cnf(refute_4_115,plain,
unit = e1,
inference(resolve,[$cnf( $equal(e4,e4) )],[refute_4_114,refute_4_113]) ).
cnf(refute_4_116,plain,
op(unit,e2) = op(unit,e2),
introduced(tautology,[refl,[$fot(op(unit,e2))]]) ).
cnf(refute_4_117,plain,
( op(unit,e2) != op(unit,e2)
| unit != e1
| op(unit,e2) = op(e1,e2) ),
introduced(tautology,[equality,[$cnf( $equal(op(unit,e2),op(unit,e2)) ),[1,0],$fot(e1)]]) ).
cnf(refute_4_118,plain,
( unit != e1
| op(unit,e2) = op(e1,e2) ),
inference(resolve,[$cnf( $equal(op(unit,e2),op(unit,e2)) )],[refute_4_116,refute_4_117]) ).
cnf(refute_4_119,plain,
op(unit,e2) = op(e1,e2),
inference(resolve,[$cnf( $equal(unit,e1) )],[refute_4_115,refute_4_118]) ).
cnf(refute_4_120,plain,
( op(unit,e2) != e2
| op(unit,e2) != op(e1,e2)
| op(e1,e2) = e2 ),
introduced(tautology,[equality,[$cnf( $equal(op(unit,e2),e2) ),[0],$fot(op(e1,e2))]]) ).
cnf(refute_4_121,plain,
( op(unit,e2) != e2
| op(e1,e2) = e2 ),
inference(resolve,[$cnf( $equal(op(unit,e2),op(e1,e2)) )],[refute_4_119,refute_4_120]) ).
cnf(refute_4_122,plain,
op(e1,e2) = e2,
inference(resolve,[$cnf( $equal(op(unit,e2),e2) )],[refute_4_46,refute_4_121]) ).
cnf(refute_4_123,plain,
( e2 != e2
| op(e1,e2) != e2
| op(e1,e2) = e2 ),
introduced(tautology,[equality,[$cnf( $equal(op(e1,e2),e2) ),[0,1],$fot(e2)]]) ).
cnf(refute_4_124,plain,
( e2 != e2
| op(e1,e2) = e2 ),
inference(resolve,[$cnf( $equal(op(e1,e2),e2) )],[refute_4_122,refute_4_123]) ).
cnf(refute_4_125,plain,
( e2 != e2
| op(e3,e2) = e0
| op(e3,e2) = e3 ),
inference(resolve,[$cnf( $equal(op(e1,e2),e2) )],[refute_4_124,refute_4_45]) ).
cnf(refute_4_126,plain,
e2 = e2,
introduced(tautology,[refl,[$fot(e2)]]) ).
cnf(refute_4_127,plain,
( op(e3,e2) = e0
| op(e3,e2) = e3 ),
inference(resolve,[$cnf( $equal(e2,e2) )],[refute_4_126,refute_4_125]) ).
cnf(refute_4_128,plain,
op(e3,e1) != op(e3,e2),
inference(canonicalize,[],[normalize_4_28]) ).
cnf(refute_4_129,plain,
op(e3,unit) = e3,
inference(canonicalize,[],[normalize_4_29]) ).
cnf(refute_4_130,plain,
op(e3,unit) = op(e3,unit),
introduced(tautology,[refl,[$fot(op(e3,unit))]]) ).
cnf(refute_4_131,plain,
( op(e3,unit) != op(e3,unit)
| unit != e1
| op(e3,unit) = op(e3,e1) ),
introduced(tautology,[equality,[$cnf( $equal(op(e3,unit),op(e3,unit)) ),[1,1],$fot(e1)]]) ).
cnf(refute_4_132,plain,
( unit != e1
| op(e3,unit) = op(e3,e1) ),
inference(resolve,[$cnf( $equal(op(e3,unit),op(e3,unit)) )],[refute_4_130,refute_4_131]) ).
cnf(refute_4_133,plain,
op(e3,unit) = op(e3,e1),
inference(resolve,[$cnf( $equal(unit,e1) )],[refute_4_115,refute_4_132]) ).
cnf(refute_4_134,plain,
( op(e3,unit) != e3
| op(e3,unit) != op(e3,e1)
| op(e3,e1) = e3 ),
introduced(tautology,[equality,[$cnf( $equal(op(e3,unit),e3) ),[0],$fot(op(e3,e1))]]) ).
cnf(refute_4_135,plain,
( op(e3,unit) != e3
| op(e3,e1) = e3 ),
inference(resolve,[$cnf( $equal(op(e3,unit),op(e3,e1)) )],[refute_4_133,refute_4_134]) ).
cnf(refute_4_136,plain,
op(e3,e1) = e3,
inference(resolve,[$cnf( $equal(op(e3,unit),e3) )],[refute_4_129,refute_4_135]) ).
cnf(refute_4_137,plain,
( e3 != op(e3,e2)
| op(e3,e1) != e3
| op(e3,e1) = op(e3,e2) ),
introduced(tautology,[equality,[$cnf( $equal(op(e3,e1),e3) ),[1],$fot(op(e3,e2))]]) ).
cnf(refute_4_138,plain,
( e3 != op(e3,e2)
| op(e3,e1) = op(e3,e2) ),
inference(resolve,[$cnf( $equal(op(e3,e1),e3) )],[refute_4_136,refute_4_137]) ).
cnf(refute_4_139,plain,
e3 != op(e3,e2),
inference(resolve,[$cnf( $equal(op(e3,e1),op(e3,e2)) )],[refute_4_138,refute_4_128]) ).
cnf(refute_4_140,plain,
( op(e3,e2) != e3
| e3 = op(e3,e2) ),
inference(subst,[],[refute_4_7:[bind(X,$fot(op(e3,e2))),bind(Y,$fot(e3))]]) ).
cnf(refute_4_141,plain,
op(e3,e2) != e3,
inference(resolve,[$cnf( $equal(e3,op(e3,e2)) )],[refute_4_140,refute_4_139]) ).
cnf(refute_4_142,plain,
op(e3,e2) = e0,
inference(resolve,[$cnf( $equal(op(e3,e2),e3) )],[refute_4_127,refute_4_141]) ).
cnf(refute_4_143,plain,
op(e0,e0) != op(e3,e0),
inference(canonicalize,[],[normalize_4_30]) ).
cnf(refute_4_144,plain,
( op(e3,e0) = e0
| op(e3,e0) = e1
| op(e3,e0) = e2
| op(e3,e0) = e3
| op(e3,e0) = e4 ),
inference(canonicalize,[],[normalize_4_31]) ).
cnf(refute_4_145,plain,
op(e3,e0) != op(e3,e2),
inference(canonicalize,[],[normalize_4_32]) ).
cnf(refute_4_146,plain,
( op(e3,e0) != e0
| op(e3,e2) != e0
| op(e3,e0) = op(e3,e2) ),
introduced(tautology,[equality,[$cnf( ~ $equal(op(e3,e0),op(e3,e2)) ),[1],$fot(e0)]]) ).
cnf(refute_4_147,plain,
( op(e3,e0) != e0
| op(e3,e0) = op(e3,e2) ),
inference(resolve,[$cnf( $equal(op(e3,e2),e0) )],[refute_4_142,refute_4_146]) ).
cnf(refute_4_148,plain,
op(e3,e0) != e0,
inference(resolve,[$cnf( $equal(op(e3,e0),op(e3,e2)) )],[refute_4_147,refute_4_145]) ).
cnf(refute_4_149,plain,
( op(e3,e0) = e1
| op(e3,e0) = e2
| op(e3,e0) = e3
| op(e3,e0) = e4 ),
inference(resolve,[$cnf( $equal(op(e3,e0),e0) )],[refute_4_144,refute_4_148]) ).
cnf(refute_4_150,plain,
op(e3,e0) != op(e3,e4),
inference(canonicalize,[],[normalize_4_33]) ).
cnf(refute_4_151,plain,
( op(e3,e0) != e1
| op(e3,e4) != e1
| op(e3,e0) = op(e3,e4) ),
introduced(tautology,[equality,[$cnf( ~ $equal(op(e3,e0),op(e3,e4)) ),[1],$fot(e1)]]) ).
cnf(refute_4_152,plain,
( op(e3,e0) != e1
| op(e3,e0) = op(e3,e4) ),
inference(resolve,[$cnf( $equal(op(e3,e4),e1) )],[refute_4_38,refute_4_151]) ).
cnf(refute_4_153,plain,
op(e3,e0) != e1,
inference(resolve,[$cnf( $equal(op(e3,e0),op(e3,e4)) )],[refute_4_152,refute_4_150]) ).
cnf(refute_4_154,plain,
( op(e3,e0) = e2
| op(e3,e0) = e3
| op(e3,e0) = e4 ),
inference(resolve,[$cnf( $equal(op(e3,e0),e1) )],[refute_4_149,refute_4_153]) ).
cnf(refute_4_155,plain,
op(e3,e0) != op(e3,e1),
inference(canonicalize,[],[normalize_4_34]) ).
cnf(refute_4_156,plain,
( op(e3,e0) != e3
| op(e3,e1) != e3
| op(e3,e0) = op(e3,e1) ),
introduced(tautology,[equality,[$cnf( ~ $equal(op(e3,e0),op(e3,e1)) ),[1],$fot(e3)]]) ).
cnf(refute_4_157,plain,
( op(e3,e0) != e3
| op(e3,e0) = op(e3,e1) ),
inference(resolve,[$cnf( $equal(op(e3,e1),e3) )],[refute_4_136,refute_4_156]) ).
cnf(refute_4_158,plain,
op(e3,e0) != e3,
inference(resolve,[$cnf( $equal(op(e3,e0),op(e3,e1)) )],[refute_4_157,refute_4_155]) ).
cnf(refute_4_159,plain,
( op(e3,e0) = e2
| op(e3,e0) = e4 ),
inference(resolve,[$cnf( $equal(op(e3,e0),e3) )],[refute_4_154,refute_4_158]) ).
cnf(refute_4_160,plain,
( op(e0,e0) != e4
| op(e3,e0) != e4
| op(e0,e0) = op(e3,e0) ),
introduced(tautology,[equality,[$cnf( ~ $equal(op(e0,e0),op(e3,e0)) ),[1],$fot(e4)]]) ).
cnf(refute_4_161,plain,
( op(e0,e0) != e4
| op(e0,e0) = op(e3,e0)
| op(e3,e0) = e2 ),
inference(resolve,[$cnf( $equal(op(e3,e0),e4) )],[refute_4_159,refute_4_160]) ).
cnf(refute_4_162,plain,
( op(e0,e0) != e4
| op(e3,e0) = e2 ),
inference(resolve,[$cnf( $equal(op(e0,e0),op(e3,e0)) )],[refute_4_161,refute_4_143]) ).
cnf(refute_4_163,plain,
( ~ definitionFOFtoCNF_16
| op(e2,op(e0,e2)) = e0 ),
inference(canonicalize,[],[normalize_4_37]) ).
cnf(refute_4_164,plain,
( op(e1,op(e1,e2)) != e2
| op(e2,op(e3,e2)) = e3
| op(e2,op(e4,e2)) = e4
| definitionFOFtoCNF_16 ),
inference(canonicalize,[],[normalize_4_41]) ).
cnf(refute_4_165,plain,
op(e1,op(e1,e2)) = op(e1,op(e1,e2)),
introduced(tautology,[refl,[$fot(op(e1,op(e1,e2)))]]) ).
cnf(refute_4_166,plain,
( op(e1,e2) != e2
| op(e1,op(e1,e2)) != op(e1,op(e1,e2))
| op(e1,op(e1,e2)) = op(e1,e2) ),
introduced(tautology,[equality,[$cnf( $equal(op(e1,op(e1,e2)),op(e1,op(e1,e2))) ),[1,1],$fot(e2)]]) ).
cnf(refute_4_167,plain,
( op(e1,e2) != e2
| op(e1,op(e1,e2)) = op(e1,e2) ),
inference(resolve,[$cnf( $equal(op(e1,op(e1,e2)),op(e1,op(e1,e2))) )],[refute_4_165,refute_4_166]) ).
cnf(refute_4_168,plain,
op(e1,op(e1,e2)) = op(e1,e2),
inference(resolve,[$cnf( $equal(op(e1,e2),e2) )],[refute_4_122,refute_4_167]) ).
cnf(refute_4_169,plain,
( op(e1,e2) != e2
| op(e1,op(e1,e2)) != op(e1,e2)
| op(e1,op(e1,e2)) = e2 ),
inference(subst,[],[refute_4_30:[bind(X,$fot(op(e1,op(e1,e2)))),bind(Y,$fot(op(e1,e2))),bind(Z,$fot(e2))]]) ).
cnf(refute_4_170,plain,
( op(e1,e2) != e2
| op(e1,op(e1,e2)) = e2 ),
inference(resolve,[$cnf( $equal(op(e1,op(e1,e2)),op(e1,e2)) )],[refute_4_168,refute_4_169]) ).
cnf(refute_4_171,plain,
op(e1,op(e1,e2)) = e2,
inference(resolve,[$cnf( $equal(op(e1,e2),e2) )],[refute_4_122,refute_4_170]) ).
cnf(refute_4_172,plain,
( e2 != e2
| op(e1,op(e1,e2)) != e2
| op(e1,op(e1,e2)) = e2 ),
introduced(tautology,[equality,[$cnf( $equal(op(e1,op(e1,e2)),e2) ),[0,1,1],$fot(e2)]]) ).
cnf(refute_4_173,plain,
( e2 != e2
| op(e1,op(e1,e2)) = e2 ),
inference(resolve,[$cnf( $equal(op(e1,op(e1,e2)),e2) )],[refute_4_171,refute_4_172]) ).
cnf(refute_4_174,plain,
( e2 != e2
| op(e2,op(e3,e2)) = e3
| op(e2,op(e4,e2)) = e4
| definitionFOFtoCNF_16 ),
inference(resolve,[$cnf( $equal(op(e1,op(e1,e2)),e2) )],[refute_4_173,refute_4_164]) ).
cnf(refute_4_175,plain,
( op(e2,e0) = e1
| op(e2,e1) = e1
| op(e2,e2) = e1
| op(e2,e3) = e1
| op(e2,e4) = e1 ),
inference(canonicalize,[],[normalize_4_43]) ).
cnf(refute_4_176,plain,
( op(e2,e2) != e1
| op(e2,e2) != e4
| e4 = e1 ),
introduced(tautology,[equality,[$cnf( $equal(op(e2,e2),e1) ),[0],$fot(e4)]]) ).
cnf(refute_4_177,plain,
( op(e2,e2) != e1
| e4 = e1 ),
inference(resolve,[$cnf( $equal(op(e2,e2),e4) )],[refute_4_9,refute_4_176]) ).
cnf(refute_4_178,plain,
( e4 = e1
| op(e2,e0) = e1
| op(e2,e1) = e1
| op(e2,e3) = e1
| op(e2,e4) = e1 ),
inference(resolve,[$cnf( $equal(op(e2,e2),e1) )],[refute_4_175,refute_4_177]) ).
cnf(refute_4_179,plain,
( e4 != e1
| e1 = e4 ),
inference(subst,[],[refute_4_7:[bind(X,$fot(e4)),bind(Y,$fot(e1))]]) ).
cnf(refute_4_180,plain,
e4 != e1,
inference(resolve,[$cnf( $equal(e1,e4) )],[refute_4_179,refute_4_75]) ).
cnf(refute_4_181,plain,
( op(e2,e0) = e1
| op(e2,e1) = e1
| op(e2,e3) = e1
| op(e2,e4) = e1 ),
inference(resolve,[$cnf( $equal(e4,e1) )],[refute_4_178,refute_4_180]) ).
cnf(refute_4_182,plain,
( op(e2,e4) != e1
| op(e2,e4) != e3
| e3 = e1 ),
introduced(tautology,[equality,[$cnf( $equal(op(e2,e4),e1) ),[0],$fot(e3)]]) ).
cnf(refute_4_183,plain,
( op(e2,e4) != e1
| e3 = e1 ),
inference(resolve,[$cnf( $equal(op(e2,e4),e3) )],[refute_4_64,refute_4_182]) ).
cnf(refute_4_184,plain,
( e3 = e1
| op(e2,e0) = e1
| op(e2,e1) = e1
| op(e2,e3) = e1 ),
inference(resolve,[$cnf( $equal(op(e2,e4),e1) )],[refute_4_181,refute_4_183]) ).
cnf(refute_4_185,plain,
e1 != e3,
inference(canonicalize,[],[normalize_4_44]) ).
cnf(refute_4_186,plain,
( e3 != e1
| e1 = e3 ),
inference(subst,[],[refute_4_7:[bind(X,$fot(e3)),bind(Y,$fot(e1))]]) ).
cnf(refute_4_187,plain,
e3 != e1,
inference(resolve,[$cnf( $equal(e1,e3) )],[refute_4_186,refute_4_185]) ).
cnf(refute_4_188,plain,
( op(e2,e0) = e1
| op(e2,e1) = e1
| op(e2,e3) = e1 ),
inference(resolve,[$cnf( $equal(e3,e1) )],[refute_4_184,refute_4_187]) ).
cnf(refute_4_189,plain,
op(e2,unit) = e2,
inference(canonicalize,[],[normalize_4_45]) ).
cnf(refute_4_190,plain,
op(e2,unit) = op(e2,unit),
introduced(tautology,[refl,[$fot(op(e2,unit))]]) ).
cnf(refute_4_191,plain,
( op(e2,unit) != op(e2,unit)
| unit != e1
| op(e2,unit) = op(e2,e1) ),
introduced(tautology,[equality,[$cnf( $equal(op(e2,unit),op(e2,unit)) ),[1,1],$fot(e1)]]) ).
cnf(refute_4_192,plain,
( unit != e1
| op(e2,unit) = op(e2,e1) ),
inference(resolve,[$cnf( $equal(op(e2,unit),op(e2,unit)) )],[refute_4_190,refute_4_191]) ).
cnf(refute_4_193,plain,
op(e2,unit) = op(e2,e1),
inference(resolve,[$cnf( $equal(unit,e1) )],[refute_4_115,refute_4_192]) ).
cnf(refute_4_194,plain,
( op(e2,unit) != e2
| op(e2,unit) != op(e2,e1)
| op(e2,e1) = e2 ),
introduced(tautology,[equality,[$cnf( $equal(op(e2,unit),e2) ),[0],$fot(op(e2,e1))]]) ).
cnf(refute_4_195,plain,
( op(e2,unit) != e2
| op(e2,e1) = e2 ),
inference(resolve,[$cnf( $equal(op(e2,unit),op(e2,e1)) )],[refute_4_193,refute_4_194]) ).
cnf(refute_4_196,plain,
op(e2,e1) = e2,
inference(resolve,[$cnf( $equal(op(e2,unit),e2) )],[refute_4_189,refute_4_195]) ).
cnf(refute_4_197,plain,
( op(e2,e1) != e1
| op(e2,e1) != e2
| e2 = e1 ),
introduced(tautology,[equality,[$cnf( $equal(op(e2,e1),e1) ),[0],$fot(e2)]]) ).
cnf(refute_4_198,plain,
( op(e2,e1) != e1
| e2 = e1 ),
inference(resolve,[$cnf( $equal(op(e2,e1),e2) )],[refute_4_196,refute_4_197]) ).
cnf(refute_4_199,plain,
( e2 = e1
| op(e2,e0) = e1
| op(e2,e3) = e1 ),
inference(resolve,[$cnf( $equal(op(e2,e1),e1) )],[refute_4_188,refute_4_198]) ).
cnf(refute_4_200,plain,
e1 != e2,
inference(canonicalize,[],[normalize_4_46]) ).
cnf(refute_4_201,plain,
( e2 != e1
| e1 = e2 ),
inference(subst,[],[refute_4_7:[bind(X,$fot(e2)),bind(Y,$fot(e1))]]) ).
cnf(refute_4_202,plain,
e2 != e1,
inference(resolve,[$cnf( $equal(e1,e2) )],[refute_4_201,refute_4_200]) ).
cnf(refute_4_203,plain,
( op(e2,e0) = e1
| op(e2,e3) = e1 ),
inference(resolve,[$cnf( $equal(e2,e1) )],[refute_4_199,refute_4_202]) ).
cnf(refute_4_204,plain,
( op(e0,e3) = e0
| op(e1,e3) = e0
| op(e2,e3) = e0
| op(e3,e3) = e0
| op(e4,e3) = e0 ),
inference(canonicalize,[],[normalize_4_47]) ).
cnf(refute_4_205,plain,
op(unit,e3) = op(unit,e3),
introduced(tautology,[refl,[$fot(op(unit,e3))]]) ).
cnf(refute_4_206,plain,
( op(unit,e3) != op(unit,e3)
| unit != e1
| op(unit,e3) = op(e1,e3) ),
introduced(tautology,[equality,[$cnf( $equal(op(unit,e3),op(unit,e3)) ),[1,0],$fot(e1)]]) ).
cnf(refute_4_207,plain,
( unit != e1
| op(unit,e3) = op(e1,e3) ),
inference(resolve,[$cnf( $equal(op(unit,e3),op(unit,e3)) )],[refute_4_205,refute_4_206]) ).
cnf(refute_4_208,plain,
op(unit,e3) = op(e1,e3),
inference(resolve,[$cnf( $equal(unit,e1) )],[refute_4_115,refute_4_207]) ).
cnf(refute_4_209,plain,
( op(unit,e3) != e3
| op(unit,e3) != op(e1,e3)
| op(e1,e3) = e3 ),
introduced(tautology,[equality,[$cnf( $equal(op(unit,e3),e3) ),[0],$fot(op(e1,e3))]]) ).
cnf(refute_4_210,plain,
( op(unit,e3) != e3
| op(e1,e3) = e3 ),
inference(resolve,[$cnf( $equal(op(unit,e3),op(e1,e3)) )],[refute_4_208,refute_4_209]) ).
cnf(refute_4_211,plain,
op(e1,e3) = e3,
inference(resolve,[$cnf( $equal(op(unit,e3),e3) )],[refute_4_50,refute_4_210]) ).
cnf(refute_4_212,plain,
( op(e1,e3) != e0
| op(e1,e3) != e3
| e3 = e0 ),
introduced(tautology,[equality,[$cnf( $equal(op(e1,e3),e0) ),[0],$fot(e3)]]) ).
cnf(refute_4_213,plain,
( op(e1,e3) != e0
| e3 = e0 ),
inference(resolve,[$cnf( $equal(op(e1,e3),e3) )],[refute_4_211,refute_4_212]) ).
cnf(refute_4_214,plain,
( e3 = e0
| op(e0,e3) = e0
| op(e2,e3) = e0
| op(e3,e3) = e0
| op(e4,e3) = e0 ),
inference(resolve,[$cnf( $equal(op(e1,e3),e0) )],[refute_4_204,refute_4_213]) ).
cnf(refute_4_215,plain,
e0 != e3,
inference(canonicalize,[],[normalize_4_48]) ).
cnf(refute_4_216,plain,
( e3 != e0
| e0 = e3 ),
inference(subst,[],[refute_4_7:[bind(X,$fot(e3)),bind(Y,$fot(e0))]]) ).
cnf(refute_4_217,plain,
e3 != e0,
inference(resolve,[$cnf( $equal(e0,e3) )],[refute_4_216,refute_4_215]) ).
cnf(refute_4_218,plain,
( op(e0,e3) = e0
| op(e2,e3) = e0
| op(e3,e3) = e0
| op(e4,e3) = e0 ),
inference(resolve,[$cnf( $equal(e3,e0) )],[refute_4_214,refute_4_217]) ).
cnf(refute_4_219,plain,
op(e0,e1) != op(e0,e3),
inference(canonicalize,[],[normalize_4_49]) ).
cnf(refute_4_220,plain,
op(e0,unit) = e0,
inference(canonicalize,[],[normalize_4_50]) ).
cnf(refute_4_221,plain,
op(e0,unit) = op(e0,unit),
introduced(tautology,[refl,[$fot(op(e0,unit))]]) ).
cnf(refute_4_222,plain,
( op(e0,unit) != op(e0,unit)
| unit != e1
| op(e0,unit) = op(e0,e1) ),
introduced(tautology,[equality,[$cnf( $equal(op(e0,unit),op(e0,unit)) ),[1,1],$fot(e1)]]) ).
cnf(refute_4_223,plain,
( unit != e1
| op(e0,unit) = op(e0,e1) ),
inference(resolve,[$cnf( $equal(op(e0,unit),op(e0,unit)) )],[refute_4_221,refute_4_222]) ).
cnf(refute_4_224,plain,
op(e0,unit) = op(e0,e1),
inference(resolve,[$cnf( $equal(unit,e1) )],[refute_4_115,refute_4_223]) ).
cnf(refute_4_225,plain,
( op(e0,unit) != e0
| op(e0,unit) != op(e0,e1)
| op(e0,e1) = e0 ),
introduced(tautology,[equality,[$cnf( $equal(op(e0,unit),e0) ),[0],$fot(op(e0,e1))]]) ).
cnf(refute_4_226,plain,
( op(e0,unit) != e0
| op(e0,e1) = e0 ),
inference(resolve,[$cnf( $equal(op(e0,unit),op(e0,e1)) )],[refute_4_224,refute_4_225]) ).
cnf(refute_4_227,plain,
op(e0,e1) = e0,
inference(resolve,[$cnf( $equal(op(e0,unit),e0) )],[refute_4_220,refute_4_226]) ).
cnf(refute_4_228,plain,
( e0 != op(e0,e3)
| op(e0,e1) != e0
| op(e0,e1) = op(e0,e3) ),
introduced(tautology,[equality,[$cnf( $equal(op(e0,e1),e0) ),[1],$fot(op(e0,e3))]]) ).
cnf(refute_4_229,plain,
( e0 != op(e0,e3)
| op(e0,e1) = op(e0,e3) ),
inference(resolve,[$cnf( $equal(op(e0,e1),e0) )],[refute_4_227,refute_4_228]) ).
cnf(refute_4_230,plain,
e0 != op(e0,e3),
inference(resolve,[$cnf( $equal(op(e0,e1),op(e0,e3)) )],[refute_4_229,refute_4_219]) ).
cnf(refute_4_231,plain,
( op(e0,e3) != e0
| e0 = op(e0,e3) ),
inference(subst,[],[refute_4_7:[bind(X,$fot(op(e0,e3))),bind(Y,$fot(e0))]]) ).
cnf(refute_4_232,plain,
op(e0,e3) != e0,
inference(resolve,[$cnf( $equal(e0,op(e0,e3)) )],[refute_4_231,refute_4_230]) ).
cnf(refute_4_233,plain,
( op(e2,e3) = e0
| op(e3,e3) = e0
| op(e4,e3) = e0 ),
inference(resolve,[$cnf( $equal(op(e0,e3),e0) )],[refute_4_218,refute_4_232]) ).
cnf(refute_4_234,plain,
op(e3,e2) != op(e3,e3),
inference(canonicalize,[],[normalize_4_51]) ).
cnf(refute_4_235,plain,
( e0 != op(e3,e3)
| op(e3,e2) != e0
| op(e3,e2) = op(e3,e3) ),
introduced(tautology,[equality,[$cnf( $equal(op(e3,e2),e0) ),[1],$fot(op(e3,e3))]]) ).
cnf(refute_4_236,plain,
( e0 != op(e3,e3)
| op(e3,e2) = op(e3,e3) ),
inference(resolve,[$cnf( $equal(op(e3,e2),e0) )],[refute_4_142,refute_4_235]) ).
cnf(refute_4_237,plain,
e0 != op(e3,e3),
inference(resolve,[$cnf( $equal(op(e3,e2),op(e3,e3)) )],[refute_4_236,refute_4_234]) ).
cnf(refute_4_238,plain,
( op(e3,e3) != e0
| e0 = op(e3,e3) ),
inference(subst,[],[refute_4_7:[bind(X,$fot(op(e3,e3))),bind(Y,$fot(e0))]]) ).
cnf(refute_4_239,plain,
op(e3,e3) != e0,
inference(resolve,[$cnf( $equal(e0,op(e3,e3)) )],[refute_4_238,refute_4_237]) ).
cnf(refute_4_240,plain,
( op(e2,e3) = e0
| op(e4,e3) = e0 ),
inference(resolve,[$cnf( $equal(op(e3,e3),e0) )],[refute_4_233,refute_4_239]) ).
cnf(refute_4_241,plain,
op(e4,e3) != op(e4,e4),
inference(canonicalize,[],[normalize_4_52]) ).
cnf(refute_4_242,plain,
( op(e4,e3) != e0
| op(e4,e4) != e0
| op(e4,e3) = op(e4,e4) ),
introduced(tautology,[equality,[$cnf( ~ $equal(op(e4,e3),op(e4,e4)) ),[1],$fot(e0)]]) ).
cnf(refute_4_243,plain,
( op(e4,e3) != e0
| op(e4,e3) = op(e4,e4) ),
inference(resolve,[$cnf( $equal(op(e4,e4),e0) )],[refute_4_96,refute_4_242]) ).
cnf(refute_4_244,plain,
op(e4,e3) != e0,
inference(resolve,[$cnf( $equal(op(e4,e3),op(e4,e4)) )],[refute_4_243,refute_4_241]) ).
cnf(refute_4_245,plain,
op(e2,e3) = e0,
inference(resolve,[$cnf( $equal(op(e4,e3),e0) )],[refute_4_240,refute_4_244]) ).
cnf(refute_4_246,plain,
( op(e2,e3) != e0
| op(e2,e3) != e1
| e0 = e1 ),
introduced(tautology,[equality,[$cnf( $equal(op(e2,e3),e1) ),[0],$fot(e0)]]) ).
cnf(refute_4_247,plain,
( op(e2,e3) != e1
| e0 = e1 ),
inference(resolve,[$cnf( $equal(op(e2,e3),e0) )],[refute_4_245,refute_4_246]) ).
cnf(refute_4_248,plain,
( e0 = e1
| op(e2,e0) = e1 ),
inference(resolve,[$cnf( $equal(op(e2,e3),e1) )],[refute_4_203,refute_4_247]) ).
cnf(refute_4_249,plain,
e0 != e1,
inference(canonicalize,[],[normalize_4_53]) ).
cnf(refute_4_250,plain,
op(e2,e0) = e1,
inference(resolve,[$cnf( $equal(e0,e1) )],[refute_4_248,refute_4_249]) ).
cnf(refute_4_251,plain,
op(e2,op(e3,e2)) = op(e2,op(e3,e2)),
introduced(tautology,[refl,[$fot(op(e2,op(e3,e2)))]]) ).
cnf(refute_4_252,plain,
( op(e2,op(e3,e2)) != op(e2,op(e3,e2))
| op(e3,e2) != e0
| op(e2,op(e3,e2)) = op(e2,e0) ),
introduced(tautology,[equality,[$cnf( $equal(op(e2,op(e3,e2)),op(e2,op(e3,e2))) ),[1,1],$fot(e0)]]) ).
cnf(refute_4_253,plain,
( op(e3,e2) != e0
| op(e2,op(e3,e2)) = op(e2,e0) ),
inference(resolve,[$cnf( $equal(op(e2,op(e3,e2)),op(e2,op(e3,e2))) )],[refute_4_251,refute_4_252]) ).
cnf(refute_4_254,plain,
op(e2,op(e3,e2)) = op(e2,e0),
inference(resolve,[$cnf( $equal(op(e3,e2),e0) )],[refute_4_142,refute_4_253]) ).
cnf(refute_4_255,plain,
( op(e2,e0) != e1
| op(e2,op(e3,e2)) != op(e2,e0)
| op(e2,op(e3,e2)) = e1 ),
inference(subst,[],[refute_4_30:[bind(X,$fot(op(e2,op(e3,e2)))),bind(Y,$fot(op(e2,e0))),bind(Z,$fot(e1))]]) ).
cnf(refute_4_256,plain,
( op(e2,e0) != e1
| op(e2,op(e3,e2)) = e1 ),
inference(resolve,[$cnf( $equal(op(e2,op(e3,e2)),op(e2,e0)) )],[refute_4_254,refute_4_255]) ).
cnf(refute_4_257,plain,
op(e2,op(e3,e2)) = e1,
inference(resolve,[$cnf( $equal(op(e2,e0),e1) )],[refute_4_250,refute_4_256]) ).
cnf(refute_4_258,plain,
( op(e2,op(e3,e2)) != e1
| op(e2,op(e3,e2)) != e3
| e1 = e3 ),
introduced(tautology,[equality,[$cnf( $equal(op(e2,op(e3,e2)),e3) ),[0],$fot(e1)]]) ).
cnf(refute_4_259,plain,
( op(e2,op(e3,e2)) != e3
| e1 = e3 ),
inference(resolve,[$cnf( $equal(op(e2,op(e3,e2)),e1) )],[refute_4_257,refute_4_258]) ).
cnf(refute_4_260,plain,
( e2 != e2
| e1 = e3
| op(e2,op(e4,e2)) = e4
| definitionFOFtoCNF_16 ),
inference(resolve,[$cnf( $equal(op(e2,op(e3,e2)),e3) )],[refute_4_174,refute_4_259]) ).
cnf(refute_4_261,plain,
( e1 = e3
| op(e2,op(e4,e2)) = e4
| definitionFOFtoCNF_16 ),
inference(resolve,[$cnf( $equal(e2,e2) )],[refute_4_126,refute_4_260]) ).
cnf(refute_4_262,plain,
( op(e2,op(e4,e2)) = e4
| definitionFOFtoCNF_16 ),
inference(resolve,[$cnf( $equal(e1,e3) )],[refute_4_261,refute_4_185]) ).
cnf(refute_4_263,plain,
op(e0,e2) != op(e4,e2),
inference(canonicalize,[],[normalize_4_54]) ).
cnf(refute_4_264,plain,
( op(e4,e2) = e0
| op(e4,e2) = e1
| op(e4,e2) = e2
| op(e4,e2) = e3
| op(e4,e2) = e4 ),
inference(canonicalize,[],[normalize_4_55]) ).
cnf(refute_4_265,plain,
op(e2,e2) != op(e4,e2),
inference(canonicalize,[],[normalize_4_56]) ).
cnf(refute_4_266,plain,
( e4 != op(e4,e2)
| op(e2,e2) != e4
| op(e2,e2) = op(e4,e2) ),
introduced(tautology,[equality,[$cnf( $equal(op(e2,e2),e4) ),[1],$fot(op(e4,e2))]]) ).
cnf(refute_4_267,plain,
( e4 != op(e4,e2)
| op(e2,e2) = op(e4,e2) ),
inference(resolve,[$cnf( $equal(op(e2,e2),e4) )],[refute_4_9,refute_4_266]) ).
cnf(refute_4_268,plain,
e4 != op(e4,e2),
inference(resolve,[$cnf( $equal(op(e2,e2),op(e4,e2)) )],[refute_4_267,refute_4_265]) ).
cnf(refute_4_269,plain,
( op(e4,e2) != e4
| e4 = op(e4,e2) ),
inference(subst,[],[refute_4_7:[bind(X,$fot(op(e4,e2))),bind(Y,$fot(e4))]]) ).
cnf(refute_4_270,plain,
op(e4,e2) != e4,
inference(resolve,[$cnf( $equal(e4,op(e4,e2)) )],[refute_4_269,refute_4_268]) ).
cnf(refute_4_271,plain,
( op(e4,e2) = e0
| op(e4,e2) = e1
| op(e4,e2) = e2
| op(e4,e2) = e3 ),
inference(resolve,[$cnf( $equal(op(e4,e2),e4) )],[refute_4_264,refute_4_270]) ).
cnf(refute_4_272,plain,
op(e4,e2) != op(e4,e4),
inference(canonicalize,[],[normalize_4_57]) ).
cnf(refute_4_273,plain,
( op(e4,e2) != e0
| op(e4,e4) != e0
| op(e4,e2) = op(e4,e4) ),
introduced(tautology,[equality,[$cnf( ~ $equal(op(e4,e2),op(e4,e4)) ),[1],$fot(e0)]]) ).
cnf(refute_4_274,plain,
( op(e4,e2) != e0
| op(e4,e2) = op(e4,e4) ),
inference(resolve,[$cnf( $equal(op(e4,e4),e0) )],[refute_4_96,refute_4_273]) ).
cnf(refute_4_275,plain,
op(e4,e2) != e0,
inference(resolve,[$cnf( $equal(op(e4,e2),op(e4,e4)) )],[refute_4_274,refute_4_272]) ).
cnf(refute_4_276,plain,
( op(e4,e2) = e1
| op(e4,e2) = e2
| op(e4,e2) = e3 ),
inference(resolve,[$cnf( $equal(op(e4,e2),e0) )],[refute_4_271,refute_4_275]) ).
cnf(refute_4_277,plain,
op(e1,e2) != op(e4,e2),
inference(canonicalize,[],[normalize_4_58]) ).
cnf(refute_4_278,plain,
( e2 != op(e4,e2)
| op(e1,e2) != e2
| op(e1,e2) = op(e4,e2) ),
introduced(tautology,[equality,[$cnf( $equal(op(e1,e2),e2) ),[1],$fot(op(e4,e2))]]) ).
cnf(refute_4_279,plain,
( e2 != op(e4,e2)
| op(e1,e2) = op(e4,e2) ),
inference(resolve,[$cnf( $equal(op(e1,e2),e2) )],[refute_4_122,refute_4_278]) ).
cnf(refute_4_280,plain,
e2 != op(e4,e2),
inference(resolve,[$cnf( $equal(op(e1,e2),op(e4,e2)) )],[refute_4_279,refute_4_277]) ).
cnf(refute_4_281,plain,
( op(e4,e2) != e2
| e2 = op(e4,e2) ),
inference(subst,[],[refute_4_7:[bind(X,$fot(op(e4,e2))),bind(Y,$fot(e2))]]) ).
cnf(refute_4_282,plain,
op(e4,e2) != e2,
inference(resolve,[$cnf( $equal(e2,op(e4,e2)) )],[refute_4_281,refute_4_280]) ).
cnf(refute_4_283,plain,
( op(e4,e2) = e1
| op(e4,e2) = e3 ),
inference(resolve,[$cnf( $equal(op(e4,e2),e2) )],[refute_4_276,refute_4_282]) ).
cnf(refute_4_284,plain,
( op(e0,e2) != e1
| op(e4,e2) != e1
| op(e0,e2) = op(e4,e2) ),
introduced(tautology,[equality,[$cnf( ~ $equal(op(e0,e2),op(e4,e2)) ),[1],$fot(e1)]]) ).
cnf(refute_4_285,plain,
( op(e0,e2) != e1
| op(e0,e2) = op(e4,e2)
| op(e4,e2) = e3 ),
inference(resolve,[$cnf( $equal(op(e4,e2),e1) )],[refute_4_283,refute_4_284]) ).
cnf(refute_4_286,plain,
( op(e0,e2) != e1
| op(e4,e2) = e3 ),
inference(resolve,[$cnf( $equal(op(e0,e2),op(e4,e2)) )],[refute_4_285,refute_4_263]) ).
cnf(refute_4_287,plain,
op(e0,e0) != op(e0,e2),
inference(canonicalize,[],[normalize_4_59]) ).
cnf(refute_4_288,plain,
( op(e1,op(e1,e2)) != e2
| op(e3,op(e3,e2)) != e2
| op(e2,op(e4,e2)) = e4
| definitionFOFtoCNF_16 ),
inference(canonicalize,[],[normalize_4_60]) ).
cnf(refute_4_289,plain,
op(e3,op(e3,e2)) = op(e3,op(e3,e2)),
introduced(tautology,[refl,[$fot(op(e3,op(e3,e2)))]]) ).
cnf(refute_4_290,plain,
( op(e3,e2) != e0
| op(e3,op(e3,e2)) != op(e3,op(e3,e2))
| op(e3,op(e3,e2)) = op(e3,e0) ),
introduced(tautology,[equality,[$cnf( $equal(op(e3,op(e3,e2)),op(e3,op(e3,e2))) ),[1,1],$fot(e0)]]) ).
cnf(refute_4_291,plain,
( op(e3,e2) != e0
| op(e3,op(e3,e2)) = op(e3,e0) ),
inference(resolve,[$cnf( $equal(op(e3,op(e3,e2)),op(e3,op(e3,e2))) )],[refute_4_289,refute_4_290]) ).
cnf(refute_4_292,plain,
op(e3,op(e3,e2)) = op(e3,e0),
inference(resolve,[$cnf( $equal(op(e3,e2),e0) )],[refute_4_142,refute_4_291]) ).
cnf(refute_4_293,plain,
( op(e3,e0) != e2
| op(e3,op(e3,e2)) != op(e3,e0)
| op(e3,op(e3,e2)) = e2 ),
introduced(tautology,[equality,[$cnf( $equal(op(e3,op(e3,e2)),op(e3,e0)) ),[1],$fot(e2)]]) ).
cnf(refute_4_294,plain,
( op(e3,e0) != e2
| op(e3,op(e3,e2)) = e2 ),
inference(resolve,[$cnf( $equal(op(e3,op(e3,e2)),op(e3,e0)) )],[refute_4_292,refute_4_293]) ).
cnf(refute_4_295,plain,
( op(e1,op(e1,e2)) != e2
| op(e3,e0) != e2
| op(e2,op(e4,e2)) = e4
| definitionFOFtoCNF_16 ),
inference(resolve,[$cnf( $equal(op(e3,op(e3,e2)),e2) )],[refute_4_294,refute_4_288]) ).
cnf(refute_4_296,plain,
( e2 != e2
| op(e3,e0) != e2
| op(e2,op(e4,e2)) = e4
| definitionFOFtoCNF_16 ),
inference(resolve,[$cnf( $equal(op(e1,op(e1,e2)),e2) )],[refute_4_173,refute_4_295]) ).
cnf(refute_4_297,plain,
( op(e3,e0) != e2
| op(e2,op(e4,e2)) = e4
| definitionFOFtoCNF_16 ),
inference(resolve,[$cnf( $equal(e2,e2) )],[refute_4_126,refute_4_296]) ).
cnf(refute_4_298,plain,
op(e4,e0) != op(e4,e2),
inference(canonicalize,[],[normalize_4_61]) ).
cnf(refute_4_299,plain,
( op(e0,e0) = e3
| op(e1,e0) = e3
| op(e2,e0) = e3
| op(e3,e0) = e3
| op(e4,e0) = e3 ),
inference(canonicalize,[],[normalize_4_62]) ).
cnf(refute_4_300,plain,
op(unit,e0) = e0,
inference(canonicalize,[],[normalize_4_63]) ).
cnf(refute_4_301,plain,
op(unit,e0) = op(unit,e0),
introduced(tautology,[refl,[$fot(op(unit,e0))]]) ).
cnf(refute_4_302,plain,
( op(unit,e0) != op(unit,e0)
| unit != e1
| op(unit,e0) = op(e1,e0) ),
introduced(tautology,[equality,[$cnf( $equal(op(unit,e0),op(unit,e0)) ),[1,0],$fot(e1)]]) ).
cnf(refute_4_303,plain,
( unit != e1
| op(unit,e0) = op(e1,e0) ),
inference(resolve,[$cnf( $equal(op(unit,e0),op(unit,e0)) )],[refute_4_301,refute_4_302]) ).
cnf(refute_4_304,plain,
op(unit,e0) = op(e1,e0),
inference(resolve,[$cnf( $equal(unit,e1) )],[refute_4_115,refute_4_303]) ).
cnf(refute_4_305,plain,
( op(unit,e0) != e0
| op(unit,e0) != op(e1,e0)
| op(e1,e0) = e0 ),
introduced(tautology,[equality,[$cnf( $equal(op(unit,e0),e0) ),[0],$fot(op(e1,e0))]]) ).
cnf(refute_4_306,plain,
( op(unit,e0) != e0
| op(e1,e0) = e0 ),
inference(resolve,[$cnf( $equal(op(unit,e0),op(e1,e0)) )],[refute_4_304,refute_4_305]) ).
cnf(refute_4_307,plain,
op(e1,e0) = e0,
inference(resolve,[$cnf( $equal(op(unit,e0),e0) )],[refute_4_300,refute_4_306]) ).
cnf(refute_4_308,plain,
( op(e1,e0) != e0
| op(e1,e0) != e3
| e0 = e3 ),
introduced(tautology,[equality,[$cnf( $equal(op(e1,e0),e3) ),[0],$fot(e0)]]) ).
cnf(refute_4_309,plain,
( op(e1,e0) != e3
| e0 = e3 ),
inference(resolve,[$cnf( $equal(op(e1,e0),e0) )],[refute_4_307,refute_4_308]) ).
cnf(refute_4_310,plain,
( e0 = e3
| op(e0,e0) = e3
| op(e2,e0) = e3
| op(e3,e0) = e3
| op(e4,e0) = e3 ),
inference(resolve,[$cnf( $equal(op(e1,e0),e3) )],[refute_4_299,refute_4_309]) ).
cnf(refute_4_311,plain,
( op(e0,e0) = e3
| op(e2,e0) = e3
| op(e3,e0) = e3
| op(e4,e0) = e3 ),
inference(resolve,[$cnf( $equal(e0,e3) )],[refute_4_310,refute_4_215]) ).
cnf(refute_4_312,plain,
op(e2,e0) != op(e2,e4),
inference(canonicalize,[],[normalize_4_64]) ).
cnf(refute_4_313,plain,
( op(e2,e0) != e3
| op(e2,e4) != e3
| op(e2,e0) = op(e2,e4) ),
introduced(tautology,[equality,[$cnf( ~ $equal(op(e2,e0),op(e2,e4)) ),[1],$fot(e3)]]) ).
cnf(refute_4_314,plain,
( op(e2,e0) != e3
| op(e2,e0) = op(e2,e4) ),
inference(resolve,[$cnf( $equal(op(e2,e4),e3) )],[refute_4_64,refute_4_313]) ).
cnf(refute_4_315,plain,
op(e2,e0) != e3,
inference(resolve,[$cnf( $equal(op(e2,e0),op(e2,e4)) )],[refute_4_314,refute_4_312]) ).
cnf(refute_4_316,plain,
( op(e0,e0) = e3
| op(e3,e0) = e3
| op(e4,e0) = e3 ),
inference(resolve,[$cnf( $equal(op(e2,e0),e3) )],[refute_4_311,refute_4_315]) ).
cnf(refute_4_317,plain,
( op(e0,e0) = e3
| op(e4,e0) = e3 ),
inference(resolve,[$cnf( $equal(op(e3,e0),e3) )],[refute_4_316,refute_4_158]) ).
cnf(refute_4_318,plain,
( e3 != op(e4,e2)
| op(e4,e0) != e3
| op(e4,e0) = op(e4,e2) ),
introduced(tautology,[equality,[$cnf( $equal(op(e4,e0),e3) ),[1],$fot(op(e4,e2))]]) ).
cnf(refute_4_319,plain,
( e3 != op(e4,e2)
| op(e0,e0) = e3
| op(e4,e0) = op(e4,e2) ),
inference(resolve,[$cnf( $equal(op(e4,e0),e3) )],[refute_4_317,refute_4_318]) ).
cnf(refute_4_320,plain,
( e3 != op(e4,e2)
| op(e0,e0) = e3 ),
inference(resolve,[$cnf( $equal(op(e4,e0),op(e4,e2)) )],[refute_4_319,refute_4_298]) ).
cnf(refute_4_321,plain,
( e3 != e3
| op(e4,e2) != e3
| e3 = op(e4,e2) ),
introduced(tautology,[equality,[$cnf( ~ $equal(e3,op(e4,e2)) ),[1],$fot(e3)]]) ).
cnf(refute_4_322,plain,
( e3 != e3
| e3 = op(e4,e2)
| op(e4,e2) = e1 ),
inference(resolve,[$cnf( $equal(op(e4,e2),e3) )],[refute_4_283,refute_4_321]) ).
cnf(refute_4_323,plain,
( e3 != e3
| op(e0,e0) = e3
| op(e4,e2) = e1 ),
inference(resolve,[$cnf( $equal(e3,op(e4,e2)) )],[refute_4_322,refute_4_320]) ).
cnf(refute_4_324,plain,
e3 = e3,
introduced(tautology,[refl,[$fot(e3)]]) ).
cnf(refute_4_325,plain,
( op(e0,e0) = e3
| op(e4,e2) = e1 ),
inference(resolve,[$cnf( $equal(e3,e3) )],[refute_4_324,refute_4_323]) ).
cnf(refute_4_326,plain,
( op(e0,e2) != e1
| op(e0,e0) = e3
| op(e0,e2) = op(e4,e2) ),
inference(resolve,[$cnf( $equal(op(e4,e2),e1) )],[refute_4_325,refute_4_284]) ).
cnf(refute_4_327,plain,
( op(e0,e2) != e1
| op(e0,e0) = e3 ),
inference(resolve,[$cnf( $equal(op(e0,e2),op(e4,e2)) )],[refute_4_326,refute_4_263]) ).
cnf(refute_4_328,plain,
( op(e0,e0) = e1
| op(e0,e1) = e1
| op(e0,e2) = e1
| op(e0,e3) = e1
| op(e0,e4) = e1 ),
inference(canonicalize,[],[normalize_4_65]) ).
cnf(refute_4_329,plain,
( op(e0,e1) != e0
| op(e0,e1) != e1
| e0 = e1 ),
introduced(tautology,[equality,[$cnf( $equal(op(e0,e1),e1) ),[0],$fot(e0)]]) ).
cnf(refute_4_330,plain,
( op(e0,e1) != e1
| e0 = e1 ),
inference(resolve,[$cnf( $equal(op(e0,e1),e0) )],[refute_4_227,refute_4_329]) ).
cnf(refute_4_331,plain,
( e0 = e1
| op(e0,e0) = e1
| op(e0,e2) = e1
| op(e0,e3) = e1
| op(e0,e4) = e1 ),
inference(resolve,[$cnf( $equal(op(e0,e1),e1) )],[refute_4_328,refute_4_330]) ).
cnf(refute_4_332,plain,
( op(e0,e0) = e1
| op(e0,e2) = e1
| op(e0,e3) = e1
| op(e0,e4) = e1 ),
inference(resolve,[$cnf( $equal(e0,e1) )],[refute_4_331,refute_4_249]) ).
cnf(refute_4_333,plain,
op(e0,e4) != op(e3,e4),
inference(canonicalize,[],[normalize_4_66]) ).
cnf(refute_4_334,plain,
( op(e0,e4) != e1
| op(e3,e4) != e1
| op(e0,e4) = op(e3,e4) ),
introduced(tautology,[equality,[$cnf( ~ $equal(op(e0,e4),op(e3,e4)) ),[1],$fot(e1)]]) ).
cnf(refute_4_335,plain,
( op(e0,e4) != e1
| op(e0,e4) = op(e3,e4) ),
inference(resolve,[$cnf( $equal(op(e3,e4),e1) )],[refute_4_38,refute_4_334]) ).
cnf(refute_4_336,plain,
op(e0,e4) != e1,
inference(resolve,[$cnf( $equal(op(e0,e4),op(e3,e4)) )],[refute_4_335,refute_4_333]) ).
cnf(refute_4_337,plain,
( op(e0,e0) = e1
| op(e0,e2) = e1
| op(e0,e3) = e1 ),
inference(resolve,[$cnf( $equal(op(e0,e4),e1) )],[refute_4_332,refute_4_336]) ).
cnf(refute_4_338,plain,
( op(e0,e0) = e4
| op(e0,e1) = e4
| op(e0,e2) = e4
| op(e0,e3) = e4
| op(e0,e4) = e4 ),
inference(canonicalize,[],[normalize_4_67]) ).
cnf(refute_4_339,plain,
op(e0,e2) != op(e2,e2),
inference(canonicalize,[],[normalize_4_68]) ).
cnf(refute_4_340,plain,
( op(e0,e2) != e4
| op(e2,e2) != e4
| op(e0,e2) = op(e2,e2) ),
introduced(tautology,[equality,[$cnf( ~ $equal(op(e0,e2),op(e2,e2)) ),[1],$fot(e4)]]) ).
cnf(refute_4_341,plain,
( op(e0,e2) != e4
| op(e0,e2) = op(e2,e2) ),
inference(resolve,[$cnf( $equal(op(e2,e2),e4) )],[refute_4_9,refute_4_340]) ).
cnf(refute_4_342,plain,
op(e0,e2) != e4,
inference(resolve,[$cnf( $equal(op(e0,e2),op(e2,e2)) )],[refute_4_341,refute_4_339]) ).
cnf(refute_4_343,plain,
( op(e0,e0) = e4
| op(e0,e1) = e4
| op(e0,e3) = e4
| op(e0,e4) = e4 ),
inference(resolve,[$cnf( $equal(op(e0,e2),e4) )],[refute_4_338,refute_4_342]) ).
cnf(refute_4_344,plain,
( op(e0,e1) != e0
| op(e0,e1) != e4
| e0 = e4 ),
introduced(tautology,[equality,[$cnf( $equal(op(e0,e1),e4) ),[0],$fot(e0)]]) ).
cnf(refute_4_345,plain,
( op(e0,e1) != e4
| e0 = e4 ),
inference(resolve,[$cnf( $equal(op(e0,e1),e0) )],[refute_4_227,refute_4_344]) ).
cnf(refute_4_346,plain,
( e0 = e4
| op(e0,e0) = e4
| op(e0,e3) = e4
| op(e0,e4) = e4 ),
inference(resolve,[$cnf( $equal(op(e0,e1),e4) )],[refute_4_343,refute_4_345]) ).
cnf(refute_4_347,plain,
( op(e0,e0) = e4
| op(e0,e3) = e4
| op(e0,e4) = e4 ),
inference(resolve,[$cnf( $equal(e0,e4) )],[refute_4_346,refute_4_100]) ).
cnf(refute_4_348,plain,
op(e0,e4) != op(e1,e4),
inference(canonicalize,[],[normalize_4_69]) ).
cnf(refute_4_349,plain,
op(unit,e4) = op(unit,e4),
introduced(tautology,[refl,[$fot(op(unit,e4))]]) ).
cnf(refute_4_350,plain,
( op(unit,e4) != op(unit,e4)
| unit != e1
| op(unit,e4) = op(e1,e4) ),
introduced(tautology,[equality,[$cnf( $equal(op(unit,e4),op(unit,e4)) ),[1,0],$fot(e1)]]) ).
cnf(refute_4_351,plain,
( unit != e1
| op(unit,e4) = op(e1,e4) ),
inference(resolve,[$cnf( $equal(op(unit,e4),op(unit,e4)) )],[refute_4_349,refute_4_350]) ).
cnf(refute_4_352,plain,
op(unit,e4) = op(e1,e4),
inference(resolve,[$cnf( $equal(unit,e1) )],[refute_4_115,refute_4_351]) ).
cnf(refute_4_353,plain,
( op(unit,e4) != e4
| op(unit,e4) != op(e1,e4)
| op(e1,e4) = e4 ),
introduced(tautology,[equality,[$cnf( $equal(op(unit,e4),e4) ),[0],$fot(op(e1,e4))]]) ).
cnf(refute_4_354,plain,
( op(unit,e4) != e4
| op(e1,e4) = e4 ),
inference(resolve,[$cnf( $equal(op(unit,e4),op(e1,e4)) )],[refute_4_352,refute_4_353]) ).
cnf(refute_4_355,plain,
op(e1,e4) = e4,
inference(resolve,[$cnf( $equal(op(unit,e4),e4) )],[refute_4_49,refute_4_354]) ).
cnf(refute_4_356,plain,
( op(e0,e4) != e4
| op(e1,e4) != e4
| op(e0,e4) = op(e1,e4) ),
introduced(tautology,[equality,[$cnf( ~ $equal(op(e0,e4),op(e1,e4)) ),[1],$fot(e4)]]) ).
cnf(refute_4_357,plain,
( op(e0,e4) != e4
| op(e0,e4) = op(e1,e4) ),
inference(resolve,[$cnf( $equal(op(e1,e4),e4) )],[refute_4_355,refute_4_356]) ).
cnf(refute_4_358,plain,
op(e0,e4) != e4,
inference(resolve,[$cnf( $equal(op(e0,e4),op(e1,e4)) )],[refute_4_357,refute_4_348]) ).
cnf(refute_4_359,plain,
( op(e0,e0) = e4
| op(e0,e3) = e4 ),
inference(resolve,[$cnf( $equal(op(e0,e4),e4) )],[refute_4_347,refute_4_358]) ).
cnf(refute_4_360,plain,
( op(e0,e3) != e1
| op(e0,e3) != e4
| e4 = e1 ),
introduced(tautology,[equality,[$cnf( $equal(op(e0,e3),e1) ),[0],$fot(e4)]]) ).
cnf(refute_4_361,plain,
( op(e0,e3) != e1
| e4 = e1
| op(e0,e0) = e4 ),
inference(resolve,[$cnf( $equal(op(e0,e3),e4) )],[refute_4_359,refute_4_360]) ).
cnf(refute_4_362,plain,
( e4 = e1
| op(e0,e0) = e1
| op(e0,e0) = e4
| op(e0,e2) = e1 ),
inference(resolve,[$cnf( $equal(op(e0,e3),e1) )],[refute_4_337,refute_4_361]) ).
cnf(refute_4_363,plain,
( op(e0,e0) = e1
| op(e0,e0) = e4
| op(e0,e2) = e1 ),
inference(resolve,[$cnf( $equal(e4,e1) )],[refute_4_362,refute_4_180]) ).
cnf(refute_4_364,plain,
op(e0,e0) != op(e2,e0),
inference(canonicalize,[],[normalize_4_70]) ).
cnf(refute_4_365,plain,
( op(e0,e0) != e1
| op(e2,e0) != e1
| op(e0,e0) = op(e2,e0) ),
introduced(tautology,[equality,[$cnf( ~ $equal(op(e0,e0),op(e2,e0)) ),[1],$fot(e1)]]) ).
cnf(refute_4_366,plain,
( op(e0,e0) != e1
| op(e0,e0) = op(e2,e0) ),
inference(resolve,[$cnf( $equal(op(e2,e0),e1) )],[refute_4_250,refute_4_365]) ).
cnf(refute_4_367,plain,
op(e0,e0) != e1,
inference(resolve,[$cnf( $equal(op(e0,e0),op(e2,e0)) )],[refute_4_366,refute_4_364]) ).
cnf(refute_4_368,plain,
( op(e0,e0) = e4
| op(e0,e2) = e1 ),
inference(resolve,[$cnf( $equal(op(e0,e0),e1) )],[refute_4_363,refute_4_367]) ).
cnf(refute_4_369,plain,
( e1 != e1
| op(e0,e2) != e1
| op(e0,e2) = e1 ),
introduced(tautology,[equality,[$cnf( $equal(op(e0,e2),e1) ),[1],$fot(e1)]]) ).
cnf(refute_4_370,plain,
( e1 != e1
| op(e0,e0) = e4
| op(e0,e2) = e1 ),
inference(resolve,[$cnf( $equal(op(e0,e2),e1) )],[refute_4_368,refute_4_369]) ).
cnf(refute_4_371,plain,
( e1 != e1
| op(e0,e0) = e3
| op(e0,e0) = e4 ),
inference(resolve,[$cnf( $equal(op(e0,e2),e1) )],[refute_4_370,refute_4_327]) ).
cnf(refute_4_372,plain,
e1 = e1,
introduced(tautology,[refl,[$fot(e1)]]) ).
cnf(refute_4_373,plain,
( op(e0,e0) = e3
| op(e0,e0) = e4 ),
inference(resolve,[$cnf( $equal(e1,e1) )],[refute_4_372,refute_4_371]) ).
cnf(refute_4_374,plain,
( e4 != e4
| op(e0,e0) != e4
| op(e0,e0) = e4 ),
introduced(tautology,[equality,[$cnf( $equal(op(e0,e0),e4) ),[1],$fot(e4)]]) ).
cnf(refute_4_375,plain,
( e4 != e4
| op(e0,e0) = e3
| op(e0,e0) = e4 ),
inference(resolve,[$cnf( $equal(op(e0,e0),e4) )],[refute_4_373,refute_4_374]) ).
cnf(refute_4_376,plain,
( e4 != e4
| op(e0,e0) = e3
| op(e3,e0) = e2 ),
inference(resolve,[$cnf( $equal(op(e0,e0),e4) )],[refute_4_375,refute_4_162]) ).
cnf(refute_4_377,plain,
( op(e0,e0) = e3
| op(e3,e0) = e2 ),
inference(resolve,[$cnf( $equal(e4,e4) )],[refute_4_114,refute_4_376]) ).
cnf(refute_4_378,plain,
( e2 != e2
| op(e3,e0) != e2
| op(e3,e0) = e2 ),
introduced(tautology,[equality,[$cnf( $equal(op(e3,e0),e2) ),[1],$fot(e2)]]) ).
cnf(refute_4_379,plain,
( e2 != e2
| op(e0,e0) = e3
| op(e3,e0) = e2 ),
inference(resolve,[$cnf( $equal(op(e3,e0),e2) )],[refute_4_377,refute_4_378]) ).
cnf(refute_4_380,plain,
( e2 != e2
| op(e0,e0) = e3
| op(e2,op(e4,e2)) = e4
| definitionFOFtoCNF_16 ),
inference(resolve,[$cnf( $equal(op(e3,e0),e2) )],[refute_4_379,refute_4_297]) ).
cnf(refute_4_381,plain,
( op(e0,e0) = e3
| op(e2,op(e4,e2)) = e4
| definitionFOFtoCNF_16 ),
inference(resolve,[$cnf( $equal(e2,e2) )],[refute_4_126,refute_4_380]) ).
cnf(refute_4_382,plain,
( op(e2,op(e4,e2)) != e4
| op(e4,e2) != e1
| op(e2,e1) = e4 ),
introduced(tautology,[equality,[$cnf( $equal(op(e2,op(e4,e2)),e4) ),[0,1],$fot(e1)]]) ).
cnf(refute_4_383,plain,
( op(e2,op(e4,e2)) != e4
| op(e0,e0) = e3
| op(e2,e1) = e4 ),
inference(resolve,[$cnf( $equal(op(e4,e2),e1) )],[refute_4_325,refute_4_382]) ).
cnf(refute_4_384,plain,
( op(e0,e0) = e3
| op(e2,e1) = e4
| definitionFOFtoCNF_16 ),
inference(resolve,[$cnf( $equal(op(e2,op(e4,e2)),e4) )],[refute_4_381,refute_4_383]) ).
cnf(refute_4_385,plain,
( op(e2,e1) != e2
| op(e2,e1) != e4
| e2 = e4 ),
introduced(tautology,[equality,[$cnf( $equal(op(e2,e1),e4) ),[0],$fot(e2)]]) ).
cnf(refute_4_386,plain,
( op(e2,e1) != e4
| e2 = e4 ),
inference(resolve,[$cnf( $equal(op(e2,e1),e2) )],[refute_4_196,refute_4_385]) ).
cnf(refute_4_387,plain,
( e2 = e4
| op(e0,e0) = e3
| definitionFOFtoCNF_16 ),
inference(resolve,[$cnf( $equal(op(e2,e1),e4) )],[refute_4_384,refute_4_386]) ).
cnf(refute_4_388,plain,
e2 != e4,
inference(canonicalize,[],[normalize_4_71]) ).
cnf(refute_4_389,plain,
( op(e0,e0) = e3
| definitionFOFtoCNF_16 ),
inference(resolve,[$cnf( $equal(e2,e4) )],[refute_4_387,refute_4_388]) ).
cnf(refute_4_390,plain,
( e3 != op(e0,e2)
| op(e0,e0) != e3
| op(e0,e0) = op(e0,e2) ),
introduced(tautology,[equality,[$cnf( $equal(op(e0,e0),e3) ),[1],$fot(op(e0,e2))]]) ).
cnf(refute_4_391,plain,
( e3 != op(e0,e2)
| op(e0,e0) = op(e0,e2)
| definitionFOFtoCNF_16 ),
inference(resolve,[$cnf( $equal(op(e0,e0),e3) )],[refute_4_389,refute_4_390]) ).
cnf(refute_4_392,plain,
( e3 != op(e0,e2)
| definitionFOFtoCNF_16 ),
inference(resolve,[$cnf( $equal(op(e0,e0),op(e0,e2)) )],[refute_4_391,refute_4_287]) ).
cnf(refute_4_393,plain,
( op(e0,e2) = e1
| op(e1,e2) = e1
| op(e2,e2) = e1
| op(e3,e2) = e1
| op(e4,e2) = e1 ),
inference(canonicalize,[],[normalize_4_72]) ).
cnf(refute_4_394,plain,
( e4 = e1
| op(e0,e2) = e1
| op(e1,e2) = e1
| op(e3,e2) = e1
| op(e4,e2) = e1 ),
inference(resolve,[$cnf( $equal(op(e2,e2),e1) )],[refute_4_393,refute_4_177]) ).
cnf(refute_4_395,plain,
( op(e0,e2) = e1
| op(e1,e2) = e1
| op(e3,e2) = e1
| op(e4,e2) = e1 ),
inference(resolve,[$cnf( $equal(e4,e1) )],[refute_4_394,refute_4_180]) ).
cnf(refute_4_396,plain,
( op(e0,e2) = e1
| op(e1,e2) = e1
| op(e4,e2) = e1 ),
inference(resolve,[$cnf( $equal(op(e3,e2),e1) )],[refute_4_395,refute_4_41]) ).
cnf(refute_4_397,plain,
( op(e1,e2) != e1
| op(e1,e2) != e2
| e2 = e1 ),
introduced(tautology,[equality,[$cnf( $equal(op(e1,e2),e1) ),[0],$fot(e2)]]) ).
cnf(refute_4_398,plain,
( op(e1,e2) != e1
| e2 = e1 ),
inference(resolve,[$cnf( $equal(op(e1,e2),e2) )],[refute_4_122,refute_4_397]) ).
cnf(refute_4_399,plain,
( e2 = e1
| op(e0,e2) = e1
| op(e4,e2) = e1 ),
inference(resolve,[$cnf( $equal(op(e1,e2),e1) )],[refute_4_396,refute_4_398]) ).
cnf(refute_4_400,plain,
( op(e0,e2) = e1
| op(e4,e2) = e1 ),
inference(resolve,[$cnf( $equal(e2,e1) )],[refute_4_399,refute_4_202]) ).
cnf(refute_4_401,plain,
( op(e0,e2) = e3
| op(e1,e2) = e3
| op(e2,e2) = e3
| op(e3,e2) = e3
| op(e4,e2) = e3 ),
inference(canonicalize,[],[normalize_4_73]) ).
cnf(refute_4_402,plain,
( op(e2,e2) != e3
| op(e2,e2) != e4
| e4 = e3 ),
introduced(tautology,[equality,[$cnf( $equal(op(e2,e2),e3) ),[0],$fot(e4)]]) ).
cnf(refute_4_403,plain,
( op(e2,e2) != e3
| e4 = e3 ),
inference(resolve,[$cnf( $equal(op(e2,e2),e4) )],[refute_4_9,refute_4_402]) ).
cnf(refute_4_404,plain,
( e4 = e3
| op(e0,e2) = e3
| op(e1,e2) = e3
| op(e3,e2) = e3
| op(e4,e2) = e3 ),
inference(resolve,[$cnf( $equal(op(e2,e2),e3) )],[refute_4_401,refute_4_403]) ).
cnf(refute_4_405,plain,
e3 != e4,
inference(canonicalize,[],[normalize_4_74]) ).
cnf(refute_4_406,plain,
( e4 != e3
| e3 = e4 ),
inference(subst,[],[refute_4_7:[bind(X,$fot(e4)),bind(Y,$fot(e3))]]) ).
cnf(refute_4_407,plain,
e4 != e3,
inference(resolve,[$cnf( $equal(e3,e4) )],[refute_4_406,refute_4_405]) ).
cnf(refute_4_408,plain,
( op(e0,e2) = e3
| op(e1,e2) = e3
| op(e3,e2) = e3
| op(e4,e2) = e3 ),
inference(resolve,[$cnf( $equal(e4,e3) )],[refute_4_404,refute_4_407]) ).
cnf(refute_4_409,plain,
( op(e1,e2) != e2
| op(e1,e2) != e3
| e2 = e3 ),
introduced(tautology,[equality,[$cnf( $equal(op(e1,e2),e3) ),[0],$fot(e2)]]) ).
cnf(refute_4_410,plain,
( op(e1,e2) != e3
| e2 = e3 ),
inference(resolve,[$cnf( $equal(op(e1,e2),e2) )],[refute_4_122,refute_4_409]) ).
cnf(refute_4_411,plain,
( e2 = e3
| op(e0,e2) = e3
| op(e3,e2) = e3
| op(e4,e2) = e3 ),
inference(resolve,[$cnf( $equal(op(e1,e2),e3) )],[refute_4_408,refute_4_410]) ).
cnf(refute_4_412,plain,
( op(e3,e2) != e0
| op(e3,e2) != e3
| e0 = e3 ),
introduced(tautology,[equality,[$cnf( $equal(op(e3,e2),e3) ),[0],$fot(e0)]]) ).
cnf(refute_4_413,plain,
( op(e3,e2) != e3
| e0 = e3 ),
inference(resolve,[$cnf( $equal(op(e3,e2),e0) )],[refute_4_142,refute_4_412]) ).
cnf(refute_4_414,plain,
( e0 = e3
| e2 = e3
| op(e0,e2) = e3
| op(e4,e2) = e3 ),
inference(resolve,[$cnf( $equal(op(e3,e2),e3) )],[refute_4_411,refute_4_413]) ).
cnf(refute_4_415,plain,
( e2 = e3
| op(e0,e2) = e3
| op(e4,e2) = e3 ),
inference(resolve,[$cnf( $equal(e0,e3) )],[refute_4_414,refute_4_215]) ).
cnf(refute_4_416,plain,
e2 != e3,
inference(canonicalize,[],[normalize_4_75]) ).
cnf(refute_4_417,plain,
( op(e0,e2) = e3
| op(e4,e2) = e3 ),
inference(resolve,[$cnf( $equal(e2,e3) )],[refute_4_415,refute_4_416]) ).
cnf(refute_4_418,plain,
( op(e4,e2) != e1
| op(e4,e2) != e3
| e3 = e1 ),
introduced(tautology,[equality,[$cnf( $equal(op(e4,e2),e1) ),[0],$fot(e3)]]) ).
cnf(refute_4_419,plain,
( op(e4,e2) != e1
| e3 = e1
| op(e0,e2) = e3 ),
inference(resolve,[$cnf( $equal(op(e4,e2),e3) )],[refute_4_417,refute_4_418]) ).
cnf(refute_4_420,plain,
( e3 = e1
| op(e0,e2) = e1
| op(e0,e2) = e3 ),
inference(resolve,[$cnf( $equal(op(e4,e2),e1) )],[refute_4_400,refute_4_419]) ).
cnf(refute_4_421,plain,
( op(e0,e2) = e1
| op(e0,e2) = e3 ),
inference(resolve,[$cnf( $equal(e3,e1) )],[refute_4_420,refute_4_187]) ).
cnf(refute_4_422,plain,
( e3 != e3
| op(e0,e2) != e3
| e3 = op(e0,e2) ),
introduced(tautology,[equality,[$cnf( ~ $equal(e3,op(e0,e2)) ),[1],$fot(e3)]]) ).
cnf(refute_4_423,plain,
( e3 != e3
| e3 = op(e0,e2)
| op(e0,e2) = e1 ),
inference(resolve,[$cnf( $equal(op(e0,e2),e3) )],[refute_4_421,refute_4_422]) ).
cnf(refute_4_424,plain,
( e3 != e3
| op(e0,e2) = e1
| definitionFOFtoCNF_16 ),
inference(resolve,[$cnf( $equal(e3,op(e0,e2)) )],[refute_4_423,refute_4_392]) ).
cnf(refute_4_425,plain,
( op(e0,e2) = e1
| definitionFOFtoCNF_16 ),
inference(resolve,[$cnf( $equal(e3,e3) )],[refute_4_324,refute_4_424]) ).
cnf(refute_4_426,plain,
( e1 != e1
| op(e0,e2) = e1
| definitionFOFtoCNF_16 ),
inference(resolve,[$cnf( $equal(op(e0,e2),e1) )],[refute_4_425,refute_4_369]) ).
cnf(refute_4_427,plain,
( e1 != e1
| op(e4,e2) = e3
| definitionFOFtoCNF_16 ),
inference(resolve,[$cnf( $equal(op(e0,e2),e1) )],[refute_4_426,refute_4_286]) ).
cnf(refute_4_428,plain,
( op(e4,e2) = e3
| definitionFOFtoCNF_16 ),
inference(resolve,[$cnf( $equal(e1,e1) )],[refute_4_372,refute_4_427]) ).
cnf(refute_4_429,plain,
( op(e2,op(e4,e2)) != e4
| op(e4,e2) != e3
| op(e2,e3) = e4 ),
introduced(tautology,[equality,[$cnf( $equal(op(e2,op(e4,e2)),e4) ),[0,1],$fot(e3)]]) ).
cnf(refute_4_430,plain,
( op(e2,op(e4,e2)) != e4
| op(e2,e3) = e4
| definitionFOFtoCNF_16 ),
inference(resolve,[$cnf( $equal(op(e4,e2),e3) )],[refute_4_428,refute_4_429]) ).
cnf(refute_4_431,plain,
( op(e2,e3) = e4
| definitionFOFtoCNF_16 ),
inference(resolve,[$cnf( $equal(op(e2,op(e4,e2)),e4) )],[refute_4_262,refute_4_430]) ).
cnf(refute_4_432,plain,
( op(e2,e3) != e0
| op(e2,e3) != e4
| e0 = e4 ),
introduced(tautology,[equality,[$cnf( $equal(op(e2,e3),e4) ),[0],$fot(e0)]]) ).
cnf(refute_4_433,plain,
( op(e2,e3) != e4
| e0 = e4 ),
inference(resolve,[$cnf( $equal(op(e2,e3),e0) )],[refute_4_245,refute_4_432]) ).
cnf(refute_4_434,plain,
( e0 = e4
| definitionFOFtoCNF_16 ),
inference(resolve,[$cnf( $equal(op(e2,e3),e4) )],[refute_4_431,refute_4_433]) ).
cnf(refute_4_435,plain,
definitionFOFtoCNF_16,
inference(resolve,[$cnf( $equal(e0,e4) )],[refute_4_434,refute_4_100]) ).
cnf(refute_4_436,plain,
op(e2,op(e0,e2)) = e0,
inference(resolve,[$cnf( definitionFOFtoCNF_16 )],[refute_4_435,refute_4_163]) ).
cnf(refute_4_437,plain,
( op(e0,e2) != e1
| op(e2,op(e0,e2)) != e0
| op(e2,e1) = e0 ),
introduced(tautology,[equality,[$cnf( $equal(op(e2,op(e0,e2)),e0) ),[0,1],$fot(e1)]]) ).
cnf(refute_4_438,plain,
( op(e2,op(e0,e2)) != e0
| op(e0,e0) = e4
| op(e2,e1) = e0 ),
inference(resolve,[$cnf( $equal(op(e0,e2),e1) )],[refute_4_368,refute_4_437]) ).
cnf(refute_4_439,plain,
( op(e0,e0) = e4
| op(e2,e1) = e0 ),
inference(resolve,[$cnf( $equal(op(e2,op(e0,e2)),e0) )],[refute_4_436,refute_4_438]) ).
cnf(refute_4_440,plain,
( op(e2,e1) != e0
| op(e2,e1) != e2
| e2 = e0 ),
introduced(tautology,[equality,[$cnf( $equal(op(e2,e1),e0) ),[0],$fot(e2)]]) ).
cnf(refute_4_441,plain,
( op(e2,e1) != e0
| e2 = e0 ),
inference(resolve,[$cnf( $equal(op(e2,e1),e2) )],[refute_4_196,refute_4_440]) ).
cnf(refute_4_442,plain,
( e2 = e0
| op(e0,e0) = e4 ),
inference(resolve,[$cnf( $equal(op(e2,e1),e0) )],[refute_4_439,refute_4_441]) ).
cnf(refute_4_443,plain,
e0 != e2,
inference(canonicalize,[],[normalize_4_76]) ).
cnf(refute_4_444,plain,
( e2 != e0
| e0 = e2 ),
inference(subst,[],[refute_4_7:[bind(X,$fot(e2)),bind(Y,$fot(e0))]]) ).
cnf(refute_4_445,plain,
e2 != e0,
inference(resolve,[$cnf( $equal(e0,e2) )],[refute_4_444,refute_4_443]) ).
cnf(refute_4_446,plain,
op(e0,e0) = e4,
inference(resolve,[$cnf( $equal(e2,e0) )],[refute_4_442,refute_4_445]) ).
cnf(refute_4_447,plain,
( e4 != e4
| op(e0,e0) = e4 ),
inference(resolve,[$cnf( $equal(op(e0,e0),e4) )],[refute_4_446,refute_4_374]) ).
cnf(refute_4_448,plain,
( e4 != e4
| op(e3,e0) = e2 ),
inference(resolve,[$cnf( $equal(op(e0,e0),e4) )],[refute_4_447,refute_4_162]) ).
cnf(refute_4_449,plain,
op(e3,e0) = e2,
inference(resolve,[$cnf( $equal(e4,e4) )],[refute_4_114,refute_4_448]) ).
cnf(refute_4_450,plain,
op(e3,op(e3,e0)) = op(e3,op(e3,e0)),
introduced(tautology,[refl,[$fot(op(e3,op(e3,e0)))]]) ).
cnf(refute_4_451,plain,
( op(e3,e0) != e2
| op(e3,op(e3,e0)) != op(e3,op(e3,e0))
| op(e3,op(e3,e0)) = op(e3,e2) ),
introduced(tautology,[equality,[$cnf( $equal(op(e3,op(e3,e0)),op(e3,op(e3,e0))) ),[1,1],$fot(e2)]]) ).
cnf(refute_4_452,plain,
( op(e3,e0) != e2
| op(e3,op(e3,e0)) = op(e3,e2) ),
inference(resolve,[$cnf( $equal(op(e3,op(e3,e0)),op(e3,op(e3,e0))) )],[refute_4_450,refute_4_451]) ).
cnf(refute_4_453,plain,
op(e3,op(e3,e0)) = op(e3,e2),
inference(resolve,[$cnf( $equal(op(e3,e0),e2) )],[refute_4_449,refute_4_452]) ).
cnf(refute_4_454,plain,
( op(e3,e2) != e0
| op(e3,op(e3,e0)) != op(e3,e2)
| op(e3,op(e3,e0)) = e0 ),
inference(subst,[],[refute_4_30:[bind(X,$fot(op(e3,op(e3,e0)))),bind(Y,$fot(op(e3,e2))),bind(Z,$fot(e0))]]) ).
cnf(refute_4_455,plain,
( op(e3,e2) != e0
| op(e3,op(e3,e0)) = e0 ),
inference(resolve,[$cnf( $equal(op(e3,op(e3,e0)),op(e3,e2)) )],[refute_4_453,refute_4_454]) ).
cnf(refute_4_456,plain,
op(e3,op(e3,e0)) = e0,
inference(resolve,[$cnf( $equal(op(e3,e2),e0) )],[refute_4_142,refute_4_455]) ).
cnf(refute_4_457,plain,
( e0 != e0
| op(e3,op(e3,e0)) != e0
| op(e3,op(e3,e0)) = e0 ),
introduced(tautology,[equality,[$cnf( $equal(op(e3,op(e3,e0)),e0) ),[0,1,1],$fot(e0)]]) ).
cnf(refute_4_458,plain,
( e0 != e0
| op(e3,op(e3,e0)) = e0 ),
inference(resolve,[$cnf( $equal(op(e3,op(e3,e0)),e0) )],[refute_4_456,refute_4_457]) ).
cnf(refute_4_459,plain,
( e0 != e0
| op(e0,op(e2,e0)) = e2
| op(e0,op(e4,e0)) = e4
| definitionFOFtoCNF_19 ),
inference(resolve,[$cnf( $equal(op(e3,op(e3,e0)),e0) )],[refute_4_458,refute_4_0]) ).
cnf(refute_4_460,plain,
op(e0,op(e2,e0)) = op(e0,op(e2,e0)),
introduced(tautology,[refl,[$fot(op(e0,op(e2,e0)))]]) ).
cnf(refute_4_461,plain,
( op(e0,op(e2,e0)) != op(e0,op(e2,e0))
| op(e2,e0) != e1
| op(e0,op(e2,e0)) = op(e0,e1) ),
introduced(tautology,[equality,[$cnf( $equal(op(e0,op(e2,e0)),op(e0,op(e2,e0))) ),[1,1],$fot(e1)]]) ).
cnf(refute_4_462,plain,
( op(e2,e0) != e1
| op(e0,op(e2,e0)) = op(e0,e1) ),
inference(resolve,[$cnf( $equal(op(e0,op(e2,e0)),op(e0,op(e2,e0))) )],[refute_4_460,refute_4_461]) ).
cnf(refute_4_463,plain,
op(e0,op(e2,e0)) = op(e0,e1),
inference(resolve,[$cnf( $equal(op(e2,e0),e1) )],[refute_4_250,refute_4_462]) ).
cnf(refute_4_464,plain,
( op(e0,e1) != e0
| op(e0,op(e2,e0)) != op(e0,e1)
| op(e0,op(e2,e0)) = e0 ),
inference(subst,[],[refute_4_30:[bind(X,$fot(op(e0,op(e2,e0)))),bind(Y,$fot(op(e0,e1))),bind(Z,$fot(e0))]]) ).
cnf(refute_4_465,plain,
( op(e0,e1) != e0
| op(e0,op(e2,e0)) = e0 ),
inference(resolve,[$cnf( $equal(op(e0,op(e2,e0)),op(e0,e1)) )],[refute_4_463,refute_4_464]) ).
cnf(refute_4_466,plain,
op(e0,op(e2,e0)) = e0,
inference(resolve,[$cnf( $equal(op(e0,e1),e0) )],[refute_4_227,refute_4_465]) ).
cnf(refute_4_467,plain,
( op(e0,op(e2,e0)) != e0
| op(e0,op(e2,e0)) != e2
| e0 = e2 ),
introduced(tautology,[equality,[$cnf( $equal(op(e0,op(e2,e0)),e2) ),[0],$fot(e0)]]) ).
cnf(refute_4_468,plain,
( op(e0,op(e2,e0)) != e2
| e0 = e2 ),
inference(resolve,[$cnf( $equal(op(e0,op(e2,e0)),e0) )],[refute_4_466,refute_4_467]) ).
cnf(refute_4_469,plain,
( e0 != e0
| e0 = e2
| op(e0,op(e4,e0)) = e4
| definitionFOFtoCNF_19 ),
inference(resolve,[$cnf( $equal(op(e0,op(e2,e0)),e2) )],[refute_4_459,refute_4_468]) ).
cnf(refute_4_470,plain,
( op(e0,e0) != e1
| op(e0,e0) != e4
| e4 = e1 ),
introduced(tautology,[equality,[$cnf( $equal(op(e0,e0),e1) ),[0],$fot(e4)]]) ).
cnf(refute_4_471,plain,
( op(e0,e0) != e1
| e4 = e1 ),
inference(resolve,[$cnf( $equal(op(e0,e0),e4) )],[refute_4_446,refute_4_470]) ).
cnf(refute_4_472,plain,
( e4 = e1
| op(e0,e2) = e1
| op(e0,e3) = e1 ),
inference(resolve,[$cnf( $equal(op(e0,e0),e1) )],[refute_4_337,refute_4_471]) ).
cnf(refute_4_473,plain,
( op(e2,op(e0,e2)) != e0
| op(e0,e2) = e3
| op(e2,e1) = e0 ),
inference(resolve,[$cnf( $equal(op(e0,e2),e1) )],[refute_4_421,refute_4_437]) ).
cnf(refute_4_474,plain,
( op(e0,e2) = e3
| op(e2,e1) = e0 ),
inference(resolve,[$cnf( $equal(op(e2,op(e0,e2)),e0) )],[refute_4_436,refute_4_473]) ).
cnf(refute_4_475,plain,
( e2 = e0
| op(e0,e2) = e3 ),
inference(resolve,[$cnf( $equal(op(e2,e1),e0) )],[refute_4_474,refute_4_441]) ).
cnf(refute_4_476,plain,
op(e0,e2) = e3,
inference(resolve,[$cnf( $equal(e2,e0) )],[refute_4_475,refute_4_445]) ).
cnf(refute_4_477,plain,
( op(e0,e2) != e1
| op(e0,e2) != e3
| e3 = e1 ),
introduced(tautology,[equality,[$cnf( $equal(op(e0,e2),e1) ),[0],$fot(e3)]]) ).
cnf(refute_4_478,plain,
( op(e0,e2) != e1
| e3 = e1 ),
inference(resolve,[$cnf( $equal(op(e0,e2),e3) )],[refute_4_476,refute_4_477]) ).
cnf(refute_4_479,plain,
( e3 = e1
| e4 = e1
| op(e0,e3) = e1 ),
inference(resolve,[$cnf( $equal(op(e0,e2),e1) )],[refute_4_472,refute_4_478]) ).
cnf(refute_4_480,plain,
( e4 = e1
| op(e0,e3) = e1 ),
inference(resolve,[$cnf( $equal(e3,e1) )],[refute_4_479,refute_4_187]) ).
cnf(refute_4_481,plain,
op(e0,e3) = e1,
inference(resolve,[$cnf( $equal(e4,e1) )],[refute_4_480,refute_4_180]) ).
cnf(refute_4_482,plain,
( op(e0,e0) != e3
| op(e0,e0) != e4
| e4 = e3 ),
introduced(tautology,[equality,[$cnf( $equal(op(e0,e0),e3) ),[0],$fot(e4)]]) ).
cnf(refute_4_483,plain,
( op(e0,e0) != e3
| e4 = e3 ),
inference(resolve,[$cnf( $equal(op(e0,e0),e4) )],[refute_4_446,refute_4_482]) ).
cnf(refute_4_484,plain,
( e4 = e3
| op(e4,e0) = e3 ),
inference(resolve,[$cnf( $equal(op(e0,e0),e3) )],[refute_4_317,refute_4_483]) ).
cnf(refute_4_485,plain,
op(e4,e0) = e3,
inference(resolve,[$cnf( $equal(e4,e3) )],[refute_4_484,refute_4_407]) ).
cnf(refute_4_486,plain,
op(e0,op(e4,e0)) = op(e0,op(e4,e0)),
introduced(tautology,[refl,[$fot(op(e0,op(e4,e0)))]]) ).
cnf(refute_4_487,plain,
( op(e0,op(e4,e0)) != op(e0,op(e4,e0))
| op(e4,e0) != e3
| op(e0,op(e4,e0)) = op(e0,e3) ),
introduced(tautology,[equality,[$cnf( $equal(op(e0,op(e4,e0)),op(e0,op(e4,e0))) ),[1,1],$fot(e3)]]) ).
cnf(refute_4_488,plain,
( op(e4,e0) != e3
| op(e0,op(e4,e0)) = op(e0,e3) ),
inference(resolve,[$cnf( $equal(op(e0,op(e4,e0)),op(e0,op(e4,e0))) )],[refute_4_486,refute_4_487]) ).
cnf(refute_4_489,plain,
op(e0,op(e4,e0)) = op(e0,e3),
inference(resolve,[$cnf( $equal(op(e4,e0),e3) )],[refute_4_485,refute_4_488]) ).
cnf(refute_4_490,plain,
( op(e0,e3) != e1
| op(e0,op(e4,e0)) != op(e0,e3)
| op(e0,op(e4,e0)) = e1 ),
inference(subst,[],[refute_4_30:[bind(X,$fot(op(e0,op(e4,e0)))),bind(Y,$fot(op(e0,e3))),bind(Z,$fot(e1))]]) ).
cnf(refute_4_491,plain,
( op(e0,e3) != e1
| op(e0,op(e4,e0)) = e1 ),
inference(resolve,[$cnf( $equal(op(e0,op(e4,e0)),op(e0,e3)) )],[refute_4_489,refute_4_490]) ).
cnf(refute_4_492,plain,
op(e0,op(e4,e0)) = e1,
inference(resolve,[$cnf( $equal(op(e0,e3),e1) )],[refute_4_481,refute_4_491]) ).
cnf(refute_4_493,plain,
( op(e0,op(e4,e0)) != e1
| op(e0,op(e4,e0)) != e4
| e1 = e4 ),
introduced(tautology,[equality,[$cnf( $equal(op(e0,op(e4,e0)),e4) ),[0],$fot(e1)]]) ).
cnf(refute_4_494,plain,
( op(e0,op(e4,e0)) != e4
| e1 = e4 ),
inference(resolve,[$cnf( $equal(op(e0,op(e4,e0)),e1) )],[refute_4_492,refute_4_493]) ).
cnf(refute_4_495,plain,
( e0 != e0
| e0 = e2
| e1 = e4
| definitionFOFtoCNF_19 ),
inference(resolve,[$cnf( $equal(op(e0,op(e4,e0)),e4) )],[refute_4_469,refute_4_494]) ).
cnf(refute_4_496,plain,
e0 = e0,
introduced(tautology,[refl,[$fot(e0)]]) ).
cnf(refute_4_497,plain,
( e0 = e2
| e1 = e4
| definitionFOFtoCNF_19 ),
inference(resolve,[$cnf( $equal(e0,e0) )],[refute_4_496,refute_4_495]) ).
cnf(refute_4_498,plain,
( e1 = e4
| definitionFOFtoCNF_19 ),
inference(resolve,[$cnf( $equal(e0,e2) )],[refute_4_497,refute_4_443]) ).
cnf(refute_4_499,plain,
definitionFOFtoCNF_19,
inference(resolve,[$cnf( $equal(e1,e4) )],[refute_4_498,refute_4_75]) ).
cnf(refute_4_500,plain,
( op(e1,op(e1,e0)) != e0
| ~ definitionFOFtoCNF_19 ),
inference(canonicalize,[],[normalize_4_78]) ).
cnf(refute_4_501,plain,
op(e1,op(e1,e0)) = op(e1,op(e1,e0)),
introduced(tautology,[refl,[$fot(op(e1,op(e1,e0)))]]) ).
cnf(refute_4_502,plain,
( op(e1,e0) != e0
| op(e1,op(e1,e0)) != op(e1,op(e1,e0))
| op(e1,op(e1,e0)) = op(e1,e0) ),
introduced(tautology,[equality,[$cnf( $equal(op(e1,op(e1,e0)),op(e1,op(e1,e0))) ),[1,1],$fot(e0)]]) ).
cnf(refute_4_503,plain,
( op(e1,e0) != e0
| op(e1,op(e1,e0)) = op(e1,e0) ),
inference(resolve,[$cnf( $equal(op(e1,op(e1,e0)),op(e1,op(e1,e0))) )],[refute_4_501,refute_4_502]) ).
cnf(refute_4_504,plain,
op(e1,op(e1,e0)) = op(e1,e0),
inference(resolve,[$cnf( $equal(op(e1,e0),e0) )],[refute_4_307,refute_4_503]) ).
cnf(refute_4_505,plain,
( op(e1,e0) != e0
| op(e1,op(e1,e0)) != op(e1,e0)
| op(e1,op(e1,e0)) = e0 ),
inference(subst,[],[refute_4_30:[bind(X,$fot(op(e1,op(e1,e0)))),bind(Y,$fot(op(e1,e0))),bind(Z,$fot(e0))]]) ).
cnf(refute_4_506,plain,
( op(e1,e0) != e0
| op(e1,op(e1,e0)) = e0 ),
inference(resolve,[$cnf( $equal(op(e1,op(e1,e0)),op(e1,e0)) )],[refute_4_504,refute_4_505]) ).
cnf(refute_4_507,plain,
op(e1,op(e1,e0)) = e0,
inference(resolve,[$cnf( $equal(op(e1,e0),e0) )],[refute_4_307,refute_4_506]) ).
cnf(refute_4_508,plain,
( e0 != e0
| op(e1,op(e1,e0)) != e0
| op(e1,op(e1,e0)) = e0 ),
introduced(tautology,[equality,[$cnf( $equal(op(e1,op(e1,e0)),e0) ),[0,1,1],$fot(e0)]]) ).
cnf(refute_4_509,plain,
( e0 != e0
| op(e1,op(e1,e0)) = e0 ),
inference(resolve,[$cnf( $equal(op(e1,op(e1,e0)),e0) )],[refute_4_507,refute_4_508]) ).
cnf(refute_4_510,plain,
( e0 != e0
| ~ definitionFOFtoCNF_19 ),
inference(resolve,[$cnf( $equal(op(e1,op(e1,e0)),e0) )],[refute_4_509,refute_4_500]) ).
cnf(refute_4_511,plain,
~ definitionFOFtoCNF_19,
inference(resolve,[$cnf( $equal(e0,e0) )],[refute_4_496,refute_4_510]) ).
cnf(refute_4_512,plain,
$false,
inference(resolve,[$cnf( definitionFOFtoCNF_19 )],[refute_4_499,refute_4_511]) ).
fof(negate_5_0,plain,
~ ( ( ( ( op(e0,op(e0,e0)) != e0
& op(e0,op(e0,e0)) = e0 )
| ( op(e1,op(e1,e0)) != e0
& op(e0,op(e1,e0)) = e1 )
| ( op(e2,op(e2,e0)) != e0
& op(e0,op(e2,e0)) = e2 )
| ( op(e3,op(e3,e0)) != e0
& op(e0,op(e3,e0)) = e3 )
| ( op(e4,op(e4,e0)) != e0
& op(e0,op(e4,e0)) = e4 ) )
& ( ( op(e0,op(e0,e1)) != e1
& op(e1,op(e0,e1)) = e0 )
| ( op(e1,op(e1,e1)) != e1
& op(e1,op(e1,e1)) = e1 )
| ( op(e2,op(e2,e1)) != e1
& op(e1,op(e2,e1)) = e2 )
| ( op(e3,op(e3,e1)) != e1
& op(e1,op(e3,e1)) = e3 )
| ( op(e4,op(e4,e1)) != e1
& op(e1,op(e4,e1)) = e4 ) )
& ( ( op(e0,op(e0,e2)) != e2
& op(e2,op(e0,e2)) = e0 )
| ( op(e1,op(e1,e2)) != e2
& op(e2,op(e1,e2)) = e1 )
| ( op(e2,op(e2,e2)) != e2
& op(e2,op(e2,e2)) = e2 )
| ( op(e3,op(e3,e2)) != e2
& op(e2,op(e3,e2)) = e3 )
| ( op(e4,op(e4,e2)) != e2
& op(e2,op(e4,e2)) = e4 ) )
& ( ( op(e0,op(e0,e3)) != e3
& op(e3,op(e0,e3)) = e0 )
| ( op(e1,op(e1,e3)) != e3
& op(e3,op(e1,e3)) = e1 )
| ( op(e2,op(e2,e3)) != e3
& op(e3,op(e2,e3)) = e2 )
| ( op(e3,op(e3,e3)) != e3
& op(e3,op(e3,e3)) = e3 )
| ( op(e4,op(e4,e3)) != e3
& op(e3,op(e4,e3)) = e4 ) )
& ( ( op(e0,op(e0,e4)) != e4
& op(e4,op(e0,e4)) = e0 )
| ( op(e1,op(e1,e4)) != e4
& op(e4,op(e1,e4)) = e1 )
| ( op(e2,op(e2,e4)) != e4
& op(e4,op(e2,e4)) = e2 )
| ( op(e3,op(e3,e4)) != e4
& op(e4,op(e3,e4)) = e3 )
| ( op(e4,op(e4,e4)) != e4
& op(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,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,op(e0,e1)) != e1
& op(e1,op(e0,e1)) = e0 )
| ( op(e2,op(e2,e1)) != e1
& op(e1,op(e2,e1)) = e2 )
| ( op(e3,op(e3,e1)) != e1
& op(e1,op(e3,e1)) = e3 )
| ( op(e4,op(e4,e1)) != e1
& op(e1,op(e4,e1)) = e4 ) )
& ( ( op(e0,op(e0,e2)) != e2
& op(e2,op(e0,e2)) = e0 )
| ( op(e1,op(e1,e2)) != e2
& op(e2,op(e1,e2)) = e1 )
| ( op(e3,op(e3,e2)) != e2
& op(e2,op(e3,e2)) = e3 )
| ( op(e4,op(e4,e2)) != e2
& op(e2,op(e4,e2)) = e4 ) )
& ( ( op(e0,op(e0,e3)) != e3
& op(e3,op(e0,e3)) = e0 )
| ( op(e1,op(e1,e3)) != e3
& op(e3,op(e1,e3)) = e1 )
| ( op(e2,op(e2,e3)) != e3
& op(e3,op(e2,e3)) = e2 )
| ( op(e4,op(e4,e3)) != e3
& op(e3,op(e4,e3)) = e4 ) )
& ( ( op(e0,op(e0,e4)) != e4
& op(e4,op(e0,e4)) = e0 )
| ( op(e1,op(e1,e4)) != e4
& op(e4,op(e1,e4)) = e1 )
| ( op(e2,op(e2,e4)) != e4
& op(e4,op(e2,e4)) = e2 )
| ( op(e3,op(e3,e4)) != e4
& op(e4,op(e3,e4)) = e3 ) )
& ( ( op(e1,op(e1,e0)) != e0
& op(e0,op(e1,e0)) = e1 )
| ( op(e2,op(e2,e0)) != e0
& op(e0,op(e2,e0)) = e2 )
| ( op(e3,op(e3,e0)) != e0
& op(e0,op(e3,e0)) = e3 )
| ( op(e4,op(e4,e0)) != e0
& op(e0,op(e4,e0)) = e4 ) ) ),
inference(canonicalize,[],[negate_5_0]) ).
fof(normalize_5_1,plain,
op(e0,e1) != op(e1,e0),
inference(conjunct,[],[normalize_5_0]) ).
fof(normalize_5_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_5_3,plain,
op(e0,unit) = e0,
inference(conjunct,[],[normalize_5_2]) ).
fof(normalize_5_4,plain,
op(unit,e1) = e1,
inference(conjunct,[],[normalize_5_2]) ).
fof(normalize_5_5,plain,
op(unit,e4) = e4,
inference(conjunct,[],[normalize_5_2]) ).
fof(normalize_5_6,plain,
( unit = e0
| unit = e1
| unit = e2
| unit = e3
| unit = e4 ),
inference(conjunct,[],[normalize_5_2]) ).
fof(normalize_5_7,plain,
( e0 = op(op(e2,e2),op(e2,e2))
& e1 = op(op(e2,op(e2,e2)),op(e2,e2))
& e3 = op(e2,op(e2,e2))
& e4 = op(e2,e2) ),
inference(canonicalize,[],[ax6]) ).
fof(normalize_5_8,plain,
e3 = op(e2,op(e2,e2)),
inference(conjunct,[],[normalize_5_7]) ).
fof(normalize_5_9,plain,
e4 = op(e2,e2),
inference(conjunct,[],[normalize_5_7]) ).
fof(normalize_5_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_5_11,plain,
e3 != e4,
inference(conjunct,[],[normalize_5_10]) ).
fof(normalize_5_12,plain,
e1 = op(op(e2,op(e2,e2)),op(e2,e2)),
inference(conjunct,[],[normalize_5_7]) ).
fof(normalize_5_13,plain,
e1 != e4,
inference(conjunct,[],[normalize_5_10]) ).
fof(normalize_5_14,plain,
e0 = op(op(e2,e2),op(e2,e2)),
inference(conjunct,[],[normalize_5_7]) ).
fof(normalize_5_15,plain,
e0 != e4,
inference(conjunct,[],[normalize_5_10]) ).
fof(normalize_5_16,plain,
op(e1,unit) = e1,
inference(conjunct,[],[normalize_5_2]) ).
fof(normalize_5_17,plain,
op(unit,e0) = e0,
inference(conjunct,[],[normalize_5_2]) ).
cnf(refute_5_0,plain,
op(e0,e1) != op(e1,e0),
inference(canonicalize,[],[normalize_5_1]) ).
cnf(refute_5_1,plain,
op(e0,unit) = e0,
inference(canonicalize,[],[normalize_5_3]) ).
cnf(refute_5_2,plain,
op(unit,e1) = e1,
inference(canonicalize,[],[normalize_5_4]) ).
cnf(refute_5_3,plain,
op(unit,e4) = e4,
inference(canonicalize,[],[normalize_5_5]) ).
cnf(refute_5_4,plain,
( unit = e0
| unit = e1
| unit = e2
| unit = e3
| unit = e4 ),
inference(canonicalize,[],[normalize_5_6]) ).
cnf(refute_5_5,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_5_6,plain,
( op(unit,e4) != e4
| op(e2,e4) = e4
| unit = e0
| unit = e1
| unit = e3
| unit = e4 ),
inference(resolve,[$cnf( $equal(unit,e2) )],[refute_5_4,refute_5_5]) ).
cnf(refute_5_7,plain,
( op(e2,e4) = e4
| unit = e0
| unit = e1
| unit = e3
| unit = e4 ),
inference(resolve,[$cnf( $equal(op(unit,e4),e4) )],[refute_5_3,refute_5_6]) ).
cnf(refute_5_8,plain,
e3 = op(e2,op(e2,e2)),
inference(canonicalize,[],[normalize_5_8]) ).
cnf(refute_5_9,plain,
e4 = op(e2,e2),
inference(canonicalize,[],[normalize_5_9]) ).
cnf(refute_5_10,plain,
X = X,
introduced(tautology,[refl,[$fot(X)]]) ).
cnf(refute_5_11,plain,
( X != X
| X != Y
| Y = X ),
introduced(tautology,[equality,[$cnf( $equal(X,X) ),[0],$fot(Y)]]) ).
cnf(refute_5_12,plain,
( X != Y
| Y = X ),
inference(resolve,[$cnf( $equal(X,X) )],[refute_5_10,refute_5_11]) ).
cnf(refute_5_13,plain,
( e4 != op(e2,e2)
| op(e2,e2) = e4 ),
inference(subst,[],[refute_5_12:[bind(X,$fot(e4)),bind(Y,$fot(op(e2,e2)))]]) ).
cnf(refute_5_14,plain,
op(e2,e2) = e4,
inference(resolve,[$cnf( $equal(e4,op(e2,e2)) )],[refute_5_9,refute_5_13]) ).
cnf(refute_5_15,plain,
op(e2,op(e2,e2)) = op(e2,op(e2,e2)),
introduced(tautology,[refl,[$fot(op(e2,op(e2,e2)))]]) ).
cnf(refute_5_16,plain,
( op(e2,e2) != e4
| op(e2,op(e2,e2)) != op(e2,op(e2,e2))
| op(e2,op(e2,e2)) = op(e2,e4) ),
introduced(tautology,[equality,[$cnf( $equal(op(e2,op(e2,e2)),op(e2,op(e2,e2))) ),[1,1],$fot(e4)]]) ).
cnf(refute_5_17,plain,
( op(e2,e2) != e4
| op(e2,op(e2,e2)) = op(e2,e4) ),
inference(resolve,[$cnf( $equal(op(e2,op(e2,e2)),op(e2,op(e2,e2))) )],[refute_5_15,refute_5_16]) ).
cnf(refute_5_18,plain,
op(e2,op(e2,e2)) = op(e2,e4),
inference(resolve,[$cnf( $equal(op(e2,e2),e4) )],[refute_5_14,refute_5_17]) ).
cnf(refute_5_19,plain,
( e3 != op(e2,op(e2,e2))
| op(e2,op(e2,e2)) != op(e2,e4)
| e3 = op(e2,e4) ),
introduced(tautology,[equality,[$cnf( ~ $equal(e3,op(e2,e4)) ),[0],$fot(op(e2,op(e2,e2)))]]) ).
cnf(refute_5_20,plain,
( e3 != op(e2,op(e2,e2))
| e3 = op(e2,e4) ),
inference(resolve,[$cnf( $equal(op(e2,op(e2,e2)),op(e2,e4)) )],[refute_5_18,refute_5_19]) ).
cnf(refute_5_21,plain,
e3 = op(e2,e4),
inference(resolve,[$cnf( $equal(e3,op(e2,op(e2,e2))) )],[refute_5_8,refute_5_20]) ).
cnf(refute_5_22,plain,
( e3 != op(e2,e4)
| op(e2,e4) = e3 ),
inference(subst,[],[refute_5_12:[bind(X,$fot(e3)),bind(Y,$fot(op(e2,e4)))]]) ).
cnf(refute_5_23,plain,
op(e2,e4) = e3,
inference(resolve,[$cnf( $equal(e3,op(e2,e4)) )],[refute_5_21,refute_5_22]) ).
cnf(refute_5_24,plain,
( op(e2,e4) != e3
| op(e2,e4) != e4
| e3 = e4 ),
introduced(tautology,[equality,[$cnf( $equal(op(e2,e4),e4) ),[0],$fot(e3)]]) ).
cnf(refute_5_25,plain,
( op(e2,e4) != e4
| e3 = e4 ),
inference(resolve,[$cnf( $equal(op(e2,e4),e3) )],[refute_5_23,refute_5_24]) ).
cnf(refute_5_26,plain,
( e3 = e4
| unit = e0
| unit = e1
| unit = e3
| unit = e4 ),
inference(resolve,[$cnf( $equal(op(e2,e4),e4) )],[refute_5_7,refute_5_25]) ).
cnf(refute_5_27,plain,
e3 != e4,
inference(canonicalize,[],[normalize_5_11]) ).
cnf(refute_5_28,plain,
( unit = e0
| unit = e1
| unit = e3
| unit = e4 ),
inference(resolve,[$cnf( $equal(e3,e4) )],[refute_5_26,refute_5_27]) ).
cnf(refute_5_29,plain,
( op(unit,e4) != e4
| unit != e3
| op(e3,e4) = e4 ),
introduced(tautology,[equality,[$cnf( $equal(op(unit,e4),e4) ),[0,0],$fot(e3)]]) ).
cnf(refute_5_30,plain,
( op(unit,e4) != e4
| op(e3,e4) = e4
| unit = e0
| unit = e1
| unit = e4 ),
inference(resolve,[$cnf( $equal(unit,e3) )],[refute_5_28,refute_5_29]) ).
cnf(refute_5_31,plain,
( op(e3,e4) = e4
| unit = e0
| unit = e1
| unit = e4 ),
inference(resolve,[$cnf( $equal(op(unit,e4),e4) )],[refute_5_3,refute_5_30]) ).
cnf(refute_5_32,plain,
e1 = op(op(e2,op(e2,e2)),op(e2,e2)),
inference(canonicalize,[],[normalize_5_12]) ).
cnf(refute_5_33,plain,
op(e3,op(e2,e2)) = op(e3,op(e2,e2)),
introduced(tautology,[refl,[$fot(op(e3,op(e2,e2)))]]) ).
cnf(refute_5_34,plain,
( op(e2,e2) != e4
| op(e3,op(e2,e2)) != op(e3,op(e2,e2))
| op(e3,op(e2,e2)) = op(e3,e4) ),
introduced(tautology,[equality,[$cnf( $equal(op(e3,op(e2,e2)),op(e3,op(e2,e2))) ),[1,1],$fot(e4)]]) ).
cnf(refute_5_35,plain,
( op(e2,e2) != e4
| op(e3,op(e2,e2)) = op(e3,e4) ),
inference(resolve,[$cnf( $equal(op(e3,op(e2,e2)),op(e3,op(e2,e2))) )],[refute_5_33,refute_5_34]) ).
cnf(refute_5_36,plain,
op(e3,op(e2,e2)) = op(e3,e4),
inference(resolve,[$cnf( $equal(op(e2,e2),e4) )],[refute_5_14,refute_5_35]) ).
cnf(refute_5_37,plain,
( e3 != op(e2,op(e2,e2))
| op(e2,op(e2,e2)) = e3 ),
inference(subst,[],[refute_5_12:[bind(X,$fot(e3)),bind(Y,$fot(op(e2,op(e2,e2))))]]) ).
cnf(refute_5_38,plain,
op(e2,op(e2,e2)) = e3,
inference(resolve,[$cnf( $equal(e3,op(e2,op(e2,e2))) )],[refute_5_8,refute_5_37]) ).
cnf(refute_5_39,plain,
op(op(e2,op(e2,e2)),op(e2,e2)) = op(op(e2,op(e2,e2)),op(e2,e2)),
introduced(tautology,[refl,[$fot(op(op(e2,op(e2,e2)),op(e2,e2)))]]) ).
cnf(refute_5_40,plain,
( op(e2,op(e2,e2)) != e3
| op(op(e2,op(e2,e2)),op(e2,e2)) != op(op(e2,op(e2,e2)),op(e2,e2))
| op(op(e2,op(e2,e2)),op(e2,e2)) = op(e3,op(e2,e2)) ),
introduced(tautology,[equality,[$cnf( $equal(op(op(e2,op(e2,e2)),op(e2,e2)),op(op(e2,op(e2,e2)),op(e2,e2))) ),[1,0],$fot(e3)]]) ).
cnf(refute_5_41,plain,
( op(e2,op(e2,e2)) != e3
| op(op(e2,op(e2,e2)),op(e2,e2)) = op(e3,op(e2,e2)) ),
inference(resolve,[$cnf( $equal(op(op(e2,op(e2,e2)),op(e2,e2)),op(op(e2,op(e2,e2)),op(e2,e2))) )],[refute_5_39,refute_5_40]) ).
cnf(refute_5_42,plain,
op(op(e2,op(e2,e2)),op(e2,e2)) = op(e3,op(e2,e2)),
inference(resolve,[$cnf( $equal(op(e2,op(e2,e2)),e3) )],[refute_5_38,refute_5_41]) ).
cnf(refute_5_43,plain,
( Y != X
| Y != Z
| X = Z ),
introduced(tautology,[equality,[$cnf( $equal(Y,Z) ),[0],$fot(X)]]) ).
cnf(refute_5_44,plain,
( X != Y
| Y != Z
| X = Z ),
inference(resolve,[$cnf( $equal(Y,X) )],[refute_5_12,refute_5_43]) ).
cnf(refute_5_45,plain,
( op(e3,op(e2,e2)) != op(e3,e4)
| op(op(e2,op(e2,e2)),op(e2,e2)) != op(e3,op(e2,e2))
| op(op(e2,op(e2,e2)),op(e2,e2)) = op(e3,e4) ),
inference(subst,[],[refute_5_44:[bind(X,$fot(op(op(e2,op(e2,e2)),op(e2,e2)))),bind(Y,$fot(op(e3,op(e2,e2)))),bind(Z,$fot(op(e3,e4)))]]) ).
cnf(refute_5_46,plain,
( op(e3,op(e2,e2)) != op(e3,e4)
| op(op(e2,op(e2,e2)),op(e2,e2)) = op(e3,e4) ),
inference(resolve,[$cnf( $equal(op(op(e2,op(e2,e2)),op(e2,e2)),op(e3,op(e2,e2))) )],[refute_5_42,refute_5_45]) ).
cnf(refute_5_47,plain,
op(op(e2,op(e2,e2)),op(e2,e2)) = op(e3,e4),
inference(resolve,[$cnf( $equal(op(e3,op(e2,e2)),op(e3,e4)) )],[refute_5_36,refute_5_46]) ).
cnf(refute_5_48,plain,
( e1 != op(op(e2,op(e2,e2)),op(e2,e2))
| op(op(e2,op(e2,e2)),op(e2,e2)) != op(e3,e4)
| e1 = op(e3,e4) ),
introduced(tautology,[equality,[$cnf( ~ $equal(e1,op(e3,e4)) ),[0],$fot(op(op(e2,op(e2,e2)),op(e2,e2)))]]) ).
cnf(refute_5_49,plain,
( e1 != op(op(e2,op(e2,e2)),op(e2,e2))
| e1 = op(e3,e4) ),
inference(resolve,[$cnf( $equal(op(op(e2,op(e2,e2)),op(e2,e2)),op(e3,e4)) )],[refute_5_47,refute_5_48]) ).
cnf(refute_5_50,plain,
e1 = op(e3,e4),
inference(resolve,[$cnf( $equal(e1,op(op(e2,op(e2,e2)),op(e2,e2))) )],[refute_5_32,refute_5_49]) ).
cnf(refute_5_51,plain,
( e1 != op(e3,e4)
| op(e3,e4) = e1 ),
inference(subst,[],[refute_5_12:[bind(X,$fot(e1)),bind(Y,$fot(op(e3,e4)))]]) ).
cnf(refute_5_52,plain,
op(e3,e4) = e1,
inference(resolve,[$cnf( $equal(e1,op(e3,e4)) )],[refute_5_50,refute_5_51]) ).
cnf(refute_5_53,plain,
( op(e3,e4) != e1
| op(e3,e4) != e4
| e1 = e4 ),
introduced(tautology,[equality,[$cnf( $equal(op(e3,e4),e4) ),[0],$fot(e1)]]) ).
cnf(refute_5_54,plain,
( op(e3,e4) != e4
| e1 = e4 ),
inference(resolve,[$cnf( $equal(op(e3,e4),e1) )],[refute_5_52,refute_5_53]) ).
cnf(refute_5_55,plain,
( e1 = e4
| unit = e0
| unit = e1
| unit = e4 ),
inference(resolve,[$cnf( $equal(op(e3,e4),e4) )],[refute_5_31,refute_5_54]) ).
cnf(refute_5_56,plain,
e1 != e4,
inference(canonicalize,[],[normalize_5_13]) ).
cnf(refute_5_57,plain,
( unit = e0
| unit = e1
| unit = e4 ),
inference(resolve,[$cnf( $equal(e1,e4) )],[refute_5_55,refute_5_56]) ).
cnf(refute_5_58,plain,
( op(unit,e4) != e4
| unit != e4
| op(e4,e4) = e4 ),
introduced(tautology,[equality,[$cnf( $equal(op(unit,e4),e4) ),[0,0],$fot(e4)]]) ).
cnf(refute_5_59,plain,
( op(unit,e4) != e4
| op(e4,e4) = e4
| unit = e0
| unit = e1 ),
inference(resolve,[$cnf( $equal(unit,e4) )],[refute_5_57,refute_5_58]) ).
cnf(refute_5_60,plain,
( op(e4,e4) = e4
| unit = e0
| unit = e1 ),
inference(resolve,[$cnf( $equal(op(unit,e4),e4) )],[refute_5_3,refute_5_59]) ).
cnf(refute_5_61,plain,
e0 = op(op(e2,e2),op(e2,e2)),
inference(canonicalize,[],[normalize_5_14]) ).
cnf(refute_5_62,plain,
op(e4,op(e2,e2)) = op(e4,op(e2,e2)),
introduced(tautology,[refl,[$fot(op(e4,op(e2,e2)))]]) ).
cnf(refute_5_63,plain,
( op(e2,e2) != e4
| op(e4,op(e2,e2)) != op(e4,op(e2,e2))
| op(e4,op(e2,e2)) = op(e4,e4) ),
introduced(tautology,[equality,[$cnf( $equal(op(e4,op(e2,e2)),op(e4,op(e2,e2))) ),[1,1],$fot(e4)]]) ).
cnf(refute_5_64,plain,
( op(e2,e2) != e4
| op(e4,op(e2,e2)) = op(e4,e4) ),
inference(resolve,[$cnf( $equal(op(e4,op(e2,e2)),op(e4,op(e2,e2))) )],[refute_5_62,refute_5_63]) ).
cnf(refute_5_65,plain,
op(e4,op(e2,e2)) = op(e4,e4),
inference(resolve,[$cnf( $equal(op(e2,e2),e4) )],[refute_5_14,refute_5_64]) ).
cnf(refute_5_66,plain,
op(op(e2,e2),op(e2,e2)) = op(op(e2,e2),op(e2,e2)),
introduced(tautology,[refl,[$fot(op(op(e2,e2),op(e2,e2)))]]) ).
cnf(refute_5_67,plain,
( op(e2,e2) != e4
| op(op(e2,e2),op(e2,e2)) != op(op(e2,e2),op(e2,e2))
| op(op(e2,e2),op(e2,e2)) = op(e4,op(e2,e2)) ),
introduced(tautology,[equality,[$cnf( $equal(op(op(e2,e2),op(e2,e2)),op(op(e2,e2),op(e2,e2))) ),[1,0],$fot(e4)]]) ).
cnf(refute_5_68,plain,
( op(e2,e2) != e4
| op(op(e2,e2),op(e2,e2)) = op(e4,op(e2,e2)) ),
inference(resolve,[$cnf( $equal(op(op(e2,e2),op(e2,e2)),op(op(e2,e2),op(e2,e2))) )],[refute_5_66,refute_5_67]) ).
cnf(refute_5_69,plain,
op(op(e2,e2),op(e2,e2)) = op(e4,op(e2,e2)),
inference(resolve,[$cnf( $equal(op(e2,e2),e4) )],[refute_5_14,refute_5_68]) ).
cnf(refute_5_70,plain,
( op(e4,op(e2,e2)) != op(e4,e4)
| op(op(e2,e2),op(e2,e2)) != op(e4,op(e2,e2))
| op(op(e2,e2),op(e2,e2)) = op(e4,e4) ),
inference(subst,[],[refute_5_44:[bind(X,$fot(op(op(e2,e2),op(e2,e2)))),bind(Y,$fot(op(e4,op(e2,e2)))),bind(Z,$fot(op(e4,e4)))]]) ).
cnf(refute_5_71,plain,
( op(e4,op(e2,e2)) != op(e4,e4)
| op(op(e2,e2),op(e2,e2)) = op(e4,e4) ),
inference(resolve,[$cnf( $equal(op(op(e2,e2),op(e2,e2)),op(e4,op(e2,e2))) )],[refute_5_69,refute_5_70]) ).
cnf(refute_5_72,plain,
op(op(e2,e2),op(e2,e2)) = op(e4,e4),
inference(resolve,[$cnf( $equal(op(e4,op(e2,e2)),op(e4,e4)) )],[refute_5_65,refute_5_71]) ).
cnf(refute_5_73,plain,
( e0 != op(op(e2,e2),op(e2,e2))
| op(op(e2,e2),op(e2,e2)) != op(e4,e4)
| e0 = op(e4,e4) ),
introduced(tautology,[equality,[$cnf( ~ $equal(e0,op(e4,e4)) ),[0],$fot(op(op(e2,e2),op(e2,e2)))]]) ).
cnf(refute_5_74,plain,
( e0 != op(op(e2,e2),op(e2,e2))
| e0 = op(e4,e4) ),
inference(resolve,[$cnf( $equal(op(op(e2,e2),op(e2,e2)),op(e4,e4)) )],[refute_5_72,refute_5_73]) ).
cnf(refute_5_75,plain,
e0 = op(e4,e4),
inference(resolve,[$cnf( $equal(e0,op(op(e2,e2),op(e2,e2))) )],[refute_5_61,refute_5_74]) ).
cnf(refute_5_76,plain,
( e0 != op(e4,e4)
| op(e4,e4) = e0 ),
inference(subst,[],[refute_5_12:[bind(X,$fot(e0)),bind(Y,$fot(op(e4,e4)))]]) ).
cnf(refute_5_77,plain,
op(e4,e4) = e0,
inference(resolve,[$cnf( $equal(e0,op(e4,e4)) )],[refute_5_75,refute_5_76]) ).
cnf(refute_5_78,plain,
( op(e4,e4) != e0
| op(e4,e4) != e4
| e0 = e4 ),
introduced(tautology,[equality,[$cnf( $equal(op(e4,e4),e4) ),[0],$fot(e0)]]) ).
cnf(refute_5_79,plain,
( op(e4,e4) != e4
| e0 = e4 ),
inference(resolve,[$cnf( $equal(op(e4,e4),e0) )],[refute_5_77,refute_5_78]) ).
cnf(refute_5_80,plain,
( e0 = e4
| unit = e0
| unit = e1 ),
inference(resolve,[$cnf( $equal(op(e4,e4),e4) )],[refute_5_60,refute_5_79]) ).
cnf(refute_5_81,plain,
e0 != e4,
inference(canonicalize,[],[normalize_5_15]) ).
cnf(refute_5_82,plain,
( unit = e0
| unit = e1 ),
inference(resolve,[$cnf( $equal(e0,e4) )],[refute_5_80,refute_5_81]) ).
cnf(refute_5_83,plain,
( op(unit,e1) != e1
| unit != e0
| op(e0,e1) = e1 ),
introduced(tautology,[equality,[$cnf( $equal(op(unit,e1),e1) ),[0,0],$fot(e0)]]) ).
cnf(refute_5_84,plain,
( op(unit,e1) != e1
| op(e0,e1) = e1
| unit = e1 ),
inference(resolve,[$cnf( $equal(unit,e0) )],[refute_5_82,refute_5_83]) ).
cnf(refute_5_85,plain,
( op(e0,e1) = e1
| unit = e1 ),
inference(resolve,[$cnf( $equal(op(unit,e1),e1) )],[refute_5_2,refute_5_84]) ).
cnf(refute_5_86,plain,
( e1 != op(e1,e0)
| op(e0,e1) != e1
| op(e0,e1) = op(e1,e0) ),
introduced(tautology,[equality,[$cnf( $equal(op(e0,e1),e1) ),[1],$fot(op(e1,e0))]]) ).
cnf(refute_5_87,plain,
( e1 != op(e1,e0)
| op(e0,e1) = op(e1,e0)
| unit = e1 ),
inference(resolve,[$cnf( $equal(op(e0,e1),e1) )],[refute_5_85,refute_5_86]) ).
cnf(refute_5_88,plain,
( e1 != op(e1,e0)
| unit = e1 ),
inference(resolve,[$cnf( $equal(op(e0,e1),op(e1,e0)) )],[refute_5_87,refute_5_0]) ).
cnf(refute_5_89,plain,
op(e1,unit) = e1,
inference(canonicalize,[],[normalize_5_16]) ).
cnf(refute_5_90,plain,
( op(e1,unit) != e1
| unit != e0
| op(e1,e0) = e1 ),
introduced(tautology,[equality,[$cnf( $equal(op(e1,unit),e1) ),[0,1],$fot(e0)]]) ).
cnf(refute_5_91,plain,
( op(e1,unit) != e1
| op(e1,e0) = e1
| unit = e1 ),
inference(resolve,[$cnf( $equal(unit,e0) )],[refute_5_82,refute_5_90]) ).
cnf(refute_5_92,plain,
( op(e1,e0) = e1
| unit = e1 ),
inference(resolve,[$cnf( $equal(op(e1,unit),e1) )],[refute_5_89,refute_5_91]) ).
cnf(refute_5_93,plain,
( e1 != e1
| op(e1,e0) != e1
| e1 = op(e1,e0) ),
introduced(tautology,[equality,[$cnf( ~ $equal(e1,op(e1,e0)) ),[1],$fot(e1)]]) ).
cnf(refute_5_94,plain,
( e1 != e1
| e1 = op(e1,e0)
| unit = e1 ),
inference(resolve,[$cnf( $equal(op(e1,e0),e1) )],[refute_5_92,refute_5_93]) ).
cnf(refute_5_95,plain,
( e1 != e1
| unit = e1 ),
inference(resolve,[$cnf( $equal(e1,op(e1,e0)) )],[refute_5_94,refute_5_88]) ).
cnf(refute_5_96,plain,
e1 = e1,
introduced(tautology,[refl,[$fot(e1)]]) ).
cnf(refute_5_97,plain,
unit = e1,
inference(resolve,[$cnf( $equal(e1,e1) )],[refute_5_96,refute_5_95]) ).
cnf(refute_5_98,plain,
op(e0,unit) = op(e0,unit),
introduced(tautology,[refl,[$fot(op(e0,unit))]]) ).
cnf(refute_5_99,plain,
( op(e0,unit) != op(e0,unit)
| unit != e1
| op(e0,unit) = op(e0,e1) ),
introduced(tautology,[equality,[$cnf( $equal(op(e0,unit),op(e0,unit)) ),[1,1],$fot(e1)]]) ).
cnf(refute_5_100,plain,
( unit != e1
| op(e0,unit) = op(e0,e1) ),
inference(resolve,[$cnf( $equal(op(e0,unit),op(e0,unit)) )],[refute_5_98,refute_5_99]) ).
cnf(refute_5_101,plain,
op(e0,unit) = op(e0,e1),
inference(resolve,[$cnf( $equal(unit,e1) )],[refute_5_97,refute_5_100]) ).
cnf(refute_5_102,plain,
( op(e0,unit) != e0
| op(e0,unit) != op(e0,e1)
| op(e0,e1) = e0 ),
introduced(tautology,[equality,[$cnf( $equal(op(e0,unit),e0) ),[0],$fot(op(e0,e1))]]) ).
cnf(refute_5_103,plain,
( op(e0,unit) != e0
| op(e0,e1) = e0 ),
inference(resolve,[$cnf( $equal(op(e0,unit),op(e0,e1)) )],[refute_5_101,refute_5_102]) ).
cnf(refute_5_104,plain,
op(e0,e1) = e0,
inference(resolve,[$cnf( $equal(op(e0,unit),e0) )],[refute_5_1,refute_5_103]) ).
cnf(refute_5_105,plain,
( e0 != op(e1,e0)
| op(e0,e1) != e0
| op(e0,e1) = op(e1,e0) ),
introduced(tautology,[equality,[$cnf( $equal(op(e0,e1),e0) ),[1],$fot(op(e1,e0))]]) ).
cnf(refute_5_106,plain,
( e0 != op(e1,e0)
| op(e0,e1) = op(e1,e0) ),
inference(resolve,[$cnf( $equal(op(e0,e1),e0) )],[refute_5_104,refute_5_105]) ).
cnf(refute_5_107,plain,
op(unit,e0) = e0,
inference(canonicalize,[],[normalize_5_17]) ).
cnf(refute_5_108,plain,
op(unit,e0) = op(unit,e0),
introduced(tautology,[refl,[$fot(op(unit,e0))]]) ).
cnf(refute_5_109,plain,
( op(unit,e0) != op(unit,e0)
| unit != e1
| op(unit,e0) = op(e1,e0) ),
introduced(tautology,[equality,[$cnf( $equal(op(unit,e0),op(unit,e0)) ),[1,0],$fot(e1)]]) ).
cnf(refute_5_110,plain,
( unit != e1
| op(unit,e0) = op(e1,e0) ),
inference(resolve,[$cnf( $equal(op(unit,e0),op(unit,e0)) )],[refute_5_108,refute_5_109]) ).
cnf(refute_5_111,plain,
op(unit,e0) = op(e1,e0),
inference(resolve,[$cnf( $equal(unit,e1) )],[refute_5_97,refute_5_110]) ).
cnf(refute_5_112,plain,
( op(unit,e0) != e0
| op(unit,e0) != op(e1,e0)
| op(e1,e0) = e0 ),
introduced(tautology,[equality,[$cnf( $equal(op(unit,e0),e0) ),[0],$fot(op(e1,e0))]]) ).
cnf(refute_5_113,plain,
( op(unit,e0) != e0
| op(e1,e0) = e0 ),
inference(resolve,[$cnf( $equal(op(unit,e0),op(e1,e0)) )],[refute_5_111,refute_5_112]) ).
cnf(refute_5_114,plain,
op(e1,e0) = e0,
inference(resolve,[$cnf( $equal(op(unit,e0),e0) )],[refute_5_107,refute_5_113]) ).
cnf(refute_5_115,plain,
( e0 != e0
| op(e1,e0) != e0
| e0 = op(e1,e0) ),
introduced(tautology,[equality,[$cnf( ~ $equal(e0,op(e1,e0)) ),[1],$fot(e0)]]) ).
cnf(refute_5_116,plain,
( e0 != e0
| e0 = op(e1,e0) ),
inference(resolve,[$cnf( $equal(op(e1,e0),e0) )],[refute_5_114,refute_5_115]) ).
cnf(refute_5_117,plain,
( e0 != e0
| op(e0,e1) = op(e1,e0) ),
inference(resolve,[$cnf( $equal(e0,op(e1,e0)) )],[refute_5_116,refute_5_106]) ).
cnf(refute_5_118,plain,
e0 != e0,
inference(resolve,[$cnf( $equal(op(e0,e1),op(e1,e0)) )],[refute_5_117,refute_5_0]) ).
cnf(refute_5_119,plain,
e0 = e0,
introduced(tautology,[refl,[$fot(e0)]]) ).
cnf(refute_5_120,plain,
$false,
inference(resolve,[$cnf( $equal(e0,e0) )],[refute_5_119,refute_5_118]) ).
fof(negate_6_0,plain,
~ ( ( ( ( op(e0,op(e0,e0)) != e0
& op(e0,op(e0,e0)) = e0 )
| ( op(e1,op(e1,e0)) != e0
& op(e0,op(e1,e0)) = e1 )
| ( op(e2,op(e2,e0)) != e0
& op(e0,op(e2,e0)) = e2 )
| ( op(e3,op(e3,e0)) != e0
& op(e0,op(e3,e0)) = e3 )
| ( op(e4,op(e4,e0)) != e0
& op(e0,op(e4,e0)) = e4 ) )
& ( ( op(e0,op(e0,e1)) != e1
& op(e1,op(e0,e1)) = e0 )
| ( op(e1,op(e1,e1)) != e1
& op(e1,op(e1,e1)) = e1 )
| ( op(e2,op(e2,e1)) != e1
& op(e1,op(e2,e1)) = e2 )
| ( op(e3,op(e3,e1)) != e1
& op(e1,op(e3,e1)) = e3 )
| ( op(e4,op(e4,e1)) != e1
& op(e1,op(e4,e1)) = e4 ) )
& ( ( op(e0,op(e0,e2)) != e2
& op(e2,op(e0,e2)) = e0 )
| ( op(e1,op(e1,e2)) != e2
& op(e2,op(e1,e2)) = e1 )
| ( op(e2,op(e2,e2)) != e2
& op(e2,op(e2,e2)) = e2 )
| ( op(e3,op(e3,e2)) != e2
& op(e2,op(e3,e2)) = e3 )
| ( op(e4,op(e4,e2)) != e2
& op(e2,op(e4,e2)) = e4 ) )
& ( ( op(e0,op(e0,e3)) != e3
& op(e3,op(e0,e3)) = e0 )
| ( op(e1,op(e1,e3)) != e3
& op(e3,op(e1,e3)) = e1 )
| ( op(e2,op(e2,e3)) != e3
& op(e3,op(e2,e3)) = e2 )
| ( op(e3,op(e3,e3)) != e3
& op(e3,op(e3,e3)) = e3 )
| ( op(e4,op(e4,e3)) != e3
& op(e3,op(e4,e3)) = e4 ) )
& ( ( op(e0,op(e0,e4)) != e4
& op(e4,op(e0,e4)) = e0 )
| ( op(e1,op(e1,e4)) != e4
& op(e4,op(e1,e4)) = e1 )
| ( op(e2,op(e2,e4)) != e4
& op(e4,op(e2,e4)) = e2 )
| ( op(e3,op(e3,e4)) != e4
& op(e4,op(e3,e4)) = e3 )
| ( op(e4,op(e4,e4)) != e4
& op(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,op(e0,e0)) != e0
& op(e0,op(e0,e0)) = e0 )
| ( op(e1,op(e1,e0)) != e0
& op(e0,op(e1,e0)) = e1 )
| ( op(e2,op(e2,e0)) != e0
& op(e0,op(e2,e0)) = e2 )
| ( op(e3,op(e3,e0)) != e0
& op(e0,op(e3,e0)) = e3 )
| ( op(e4,op(e4,e0)) != e0
& op(e0,op(e4,e0)) = e4 ) )
& ( ( op(e0,op(e0,e1)) != e1
& op(e1,op(e0,e1)) = e0 )
| ( op(e1,op(e1,e1)) != e1
& op(e1,op(e1,e1)) = e1 )
| ( op(e2,op(e2,e1)) != e1
& op(e1,op(e2,e1)) = e2 )
| ( op(e3,op(e3,e1)) != e1
& op(e1,op(e3,e1)) = e3 )
| ( op(e4,op(e4,e1)) != e1
& op(e1,op(e4,e1)) = e4 ) )
& ( ( op(e0,op(e0,e2)) != e2
& op(e2,op(e0,e2)) = e0 )
| ( op(e1,op(e1,e2)) != e2
& op(e2,op(e1,e2)) = e1 )
| ( op(e2,op(e2,e2)) != e2
& op(e2,op(e2,e2)) = e2 )
| ( op(e3,op(e3,e2)) != e2
& op(e2,op(e3,e2)) = e3 )
| ( op(e4,op(e4,e2)) != e2
& op(e2,op(e4,e2)) = e4 ) )
& ( ( op(e0,op(e0,e3)) != e3
& op(e3,op(e0,e3)) = e0 )
| ( op(e1,op(e1,e3)) != e3
& op(e3,op(e1,e3)) = e1 )
| ( op(e2,op(e2,e3)) != e3
& op(e3,op(e2,e3)) = e2 )
| ( op(e3,op(e3,e3)) != e3
& op(e3,op(e3,e3)) = e3 )
| ( op(e4,op(e4,e3)) != e3
& op(e3,op(e4,e3)) = e4 ) )
& ( ( op(e0,op(e0,e4)) != e4
& op(e4,op(e0,e4)) = e0 )
| ( op(e1,op(e1,e4)) != e4
& op(e4,op(e1,e4)) = e1 )
| ( op(e2,op(e2,e4)) != e4
& op(e4,op(e2,e4)) = e2 )
| ( op(e3,op(e3,e4)) != e4
& op(e4,op(e3,e4)) = e3 )
| ( op(e4,op(e4,e4)) != e4
& op(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(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_7_1,plain,
( op(e1,e2) = e0
| op(e1,e2) = e1
| op(e1,e2) = e2
| op(e1,e2) = e3
| op(e1,e2) = e4 ),
inference(conjunct,[],[normalize_7_0]) ).
fof(normalize_7_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_7_3,plain,
op(e1,e2) != op(e2,e2),
inference(conjunct,[],[normalize_7_2]) ).
fof(normalize_7_4,plain,
( e0 = op(op(e2,e2),op(e2,e2))
& e1 = op(op(e2,op(e2,e2)),op(e2,e2))
& e3 = op(e2,op(e2,e2))
& e4 = op(e2,e2) ),
inference(canonicalize,[],[ax6]) ).
fof(normalize_7_5,plain,
e4 = op(e2,e2),
inference(conjunct,[],[normalize_7_4]) ).
fof(normalize_7_6,plain,
op(e1,e2) != op(e3,e2),
inference(conjunct,[],[normalize_7_2]) ).
fof(normalize_7_7,plain,
( op(e3,e2) = e0
| op(e3,e2) = e1
| op(e3,e2) = e2
| op(e3,e2) = e3
| op(e3,e2) = e4 ),
inference(conjunct,[],[normalize_7_0]) ).
fof(normalize_7_8,plain,
op(e2,e2) != op(e3,e2),
inference(conjunct,[],[normalize_7_2]) ).
fof(normalize_7_9,plain,
op(e3,e2) != op(e3,e4),
inference(conjunct,[],[normalize_7_2]) ).
fof(normalize_7_10,plain,
e1 = op(op(e2,op(e2,e2)),op(e2,e2)),
inference(conjunct,[],[normalize_7_4]) ).
fof(normalize_7_11,plain,
e3 = op(e2,op(e2,e2)),
inference(conjunct,[],[normalize_7_4]) ).
fof(normalize_7_12,plain,
op(e0,e2) != op(e3,e2),
inference(conjunct,[],[normalize_7_2]) ).
fof(normalize_7_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_7_14,plain,
op(unit,e2) = e2,
inference(conjunct,[],[normalize_7_13]) ).
fof(normalize_7_15,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,op(e0,e1)) != e1
& op(e1,op(e0,e1)) = e0 )
| ( op(e2,op(e2,e1)) != e1
& op(e1,op(e2,e1)) = e2 )
| ( op(e3,op(e3,e1)) != e1
& op(e1,op(e3,e1)) = e3 )
| ( op(e4,op(e4,e1)) != e1
& op(e1,op(e4,e1)) = e4 ) )
& ( ( op(e0,op(e0,e2)) != e2
& op(e2,op(e0,e2)) = e0 )
| ( op(e1,op(e1,e2)) != e2
& op(e2,op(e1,e2)) = e1 )
| ( op(e3,op(e3,e2)) != e2
& op(e2,op(e3,e2)) = e3 )
| ( op(e4,op(e4,e2)) != e2
& op(e2,op(e4,e2)) = e4 ) )
& ( ( op(e0,op(e0,e3)) != e3
& op(e3,op(e0,e3)) = e0 )
| ( op(e1,op(e1,e3)) != e3
& op(e3,op(e1,e3)) = e1 )
| ( op(e2,op(e2,e3)) != e3
& op(e3,op(e2,e3)) = e2 )
| ( op(e4,op(e4,e3)) != e3
& op(e3,op(e4,e3)) = e4 ) )
& ( ( op(e0,op(e0,e4)) != e4
& op(e4,op(e0,e4)) = e0 )
| ( op(e1,op(e1,e4)) != e4
& op(e4,op(e1,e4)) = e1 )
| ( op(e2,op(e2,e4)) != e4
& op(e4,op(e2,e4)) = e2 )
| ( op(e3,op(e3,e4)) != e4
& op(e4,op(e3,e4)) = e3 ) )
& ( ( op(e1,op(e1,e0)) != e0
& op(e0,op(e1,e0)) = e1 )
| ( op(e2,op(e2,e0)) != e0
& op(e0,op(e2,e0)) = e2 )
| ( op(e3,op(e3,e0)) != e0
& op(e0,op(e3,e0)) = e3 )
| ( op(e4,op(e4,e0)) != e0
& op(e0,op(e4,e0)) = e4 ) ) ),
inference(canonicalize,[],[negate_7_0]) ).
fof(normalize_7_16,plain,
op(op(e1,e2),e2) = e1,
inference(conjunct,[],[normalize_7_15]) ).
fof(normalize_7_17,plain,
op(e3,unit) = e3,
inference(conjunct,[],[normalize_7_13]) ).
fof(normalize_7_18,plain,
op(unit,e4) = e4,
inference(conjunct,[],[normalize_7_13]) ).
fof(normalize_7_19,plain,
op(unit,e3) = e3,
inference(conjunct,[],[normalize_7_13]) ).
fof(normalize_7_20,plain,
( unit = e0
| unit = e1
| unit = e2
| unit = e3
| unit = e4 ),
inference(conjunct,[],[normalize_7_13]) ).
fof(normalize_7_21,plain,
op(e2,e3) != op(e2,e4),
inference(conjunct,[],[normalize_7_2]) ).
fof(normalize_7_22,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_23,plain,
e1 != e4,
inference(conjunct,[],[normalize_7_22]) ).
fof(normalize_7_24,plain,
e1 != e3,
inference(conjunct,[],[normalize_7_22]) ).
fof(normalize_7_25,plain,
op(e3,e0) != op(e3,e2),
inference(conjunct,[],[normalize_7_2]) ).
fof(normalize_7_26,plain,
op(e1,e0) != op(e1,e2),
inference(conjunct,[],[normalize_7_2]) ).
fof(normalize_7_27,plain,
op(e1,unit) = e1,
inference(conjunct,[],[normalize_7_13]) ).
fof(normalize_7_28,plain,
op(e0,e2) != op(e1,e2),
inference(conjunct,[],[normalize_7_2]) ).
fof(normalize_7_29,plain,
op(e1,e1) != op(e1,e2),
inference(conjunct,[],[normalize_7_2]) ).
fof(normalize_7_30,plain,
op(e4,e1) != op(e4,e2),
inference(conjunct,[],[normalize_7_2]) ).
fof(normalize_7_31,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_32,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_31]) ).
fof(normalize_7_33,plain,
e3 != e4,
inference(conjunct,[],[normalize_7_22]) ).
fof(normalize_7_34,plain,
e0 != e3,
inference(conjunct,[],[normalize_7_22]) ).
fof(normalize_7_35,plain,
e2 != e3,
inference(conjunct,[],[normalize_7_22]) ).
fof(normalize_7_36,plain,
( op(e0,e1) = e3
| op(e1,e1) = e3
| op(e2,e1) = e3
| op(e3,e1) = e3
| op(e4,e1) = e3 ),
inference(conjunct,[],[normalize_7_31]) ).
fof(normalize_7_37,plain,
op(unit,e1) = e1,
inference(conjunct,[],[normalize_7_13]) ).
fof(normalize_7_38,plain,
op(e2,e1) != op(e2,e4),
inference(conjunct,[],[normalize_7_2]) ).
fof(normalize_7_39,plain,
op(e3,e0) != op(e3,e1),
inference(conjunct,[],[normalize_7_2]) ).
fof(normalize_7_40,plain,
e0 != e1,
inference(conjunct,[],[normalize_7_22]) ).
cnf(refute_7_0,plain,
( op(e1,e2) = e0
| op(e1,e2) = e1
| op(e1,e2) = e2
| op(e1,e2) = e3
| op(e1,e2) = e4 ),
inference(canonicalize,[],[normalize_7_1]) ).
cnf(refute_7_1,plain,
op(e1,e2) != op(e2,e2),
inference(canonicalize,[],[normalize_7_3]) ).
cnf(refute_7_2,plain,
e4 = op(e2,e2),
inference(canonicalize,[],[normalize_7_5]) ).
cnf(refute_7_3,plain,
X = X,
introduced(tautology,[refl,[$fot(X)]]) ).
cnf(refute_7_4,plain,
( X != X
| X != Y
| Y = X ),
introduced(tautology,[equality,[$cnf( $equal(X,X) ),[0],$fot(Y)]]) ).
cnf(refute_7_5,plain,
( X != Y
| Y = X ),
inference(resolve,[$cnf( $equal(X,X) )],[refute_7_3,refute_7_4]) ).
cnf(refute_7_6,plain,
( e4 != op(e2,e2)
| op(e2,e2) = e4 ),
inference(subst,[],[refute_7_5:[bind(X,$fot(e4)),bind(Y,$fot(op(e2,e2)))]]) ).
cnf(refute_7_7,plain,
op(e2,e2) = e4,
inference(resolve,[$cnf( $equal(e4,op(e2,e2)) )],[refute_7_2,refute_7_6]) ).
cnf(refute_7_8,plain,
( op(e1,e2) != e4
| op(e2,e2) != e4
| op(e1,e2) = op(e2,e2) ),
introduced(tautology,[equality,[$cnf( ~ $equal(op(e1,e2),op(e2,e2)) ),[1],$fot(e4)]]) ).
cnf(refute_7_9,plain,
( op(e1,e2) != e4
| op(e1,e2) = op(e2,e2) ),
inference(resolve,[$cnf( $equal(op(e2,e2),e4) )],[refute_7_7,refute_7_8]) ).
cnf(refute_7_10,plain,
op(e1,e2) != e4,
inference(resolve,[$cnf( $equal(op(e1,e2),op(e2,e2)) )],[refute_7_9,refute_7_1]) ).
cnf(refute_7_11,plain,
( op(e1,e2) = e0
| op(e1,e2) = e1
| op(e1,e2) = e2
| op(e1,e2) = e3 ),
inference(resolve,[$cnf( $equal(op(e1,e2),e4) )],[refute_7_0,refute_7_10]) ).
cnf(refute_7_12,plain,
op(e1,e2) != op(e3,e2),
inference(canonicalize,[],[normalize_7_6]) ).
cnf(refute_7_13,plain,
( op(e3,e2) = e0
| op(e3,e2) = e1
| op(e3,e2) = e2
| op(e3,e2) = e3
| op(e3,e2) = e4 ),
inference(canonicalize,[],[normalize_7_7]) ).
cnf(refute_7_14,plain,
op(e2,e2) != op(e3,e2),
inference(canonicalize,[],[normalize_7_8]) ).
cnf(refute_7_15,plain,
( e4 != op(e3,e2)
| op(e2,e2) != e4
| op(e2,e2) = op(e3,e2) ),
introduced(tautology,[equality,[$cnf( $equal(op(e2,e2),e4) ),[1],$fot(op(e3,e2))]]) ).
cnf(refute_7_16,plain,
( e4 != op(e3,e2)
| op(e2,e2) = op(e3,e2) ),
inference(resolve,[$cnf( $equal(op(e2,e2),e4) )],[refute_7_7,refute_7_15]) ).
cnf(refute_7_17,plain,
e4 != op(e3,e2),
inference(resolve,[$cnf( $equal(op(e2,e2),op(e3,e2)) )],[refute_7_16,refute_7_14]) ).
cnf(refute_7_18,plain,
( op(e3,e2) != e4
| e4 = op(e3,e2) ),
inference(subst,[],[refute_7_5:[bind(X,$fot(op(e3,e2))),bind(Y,$fot(e4))]]) ).
cnf(refute_7_19,plain,
op(e3,e2) != e4,
inference(resolve,[$cnf( $equal(e4,op(e3,e2)) )],[refute_7_18,refute_7_17]) ).
cnf(refute_7_20,plain,
( op(e3,e2) = e0
| op(e3,e2) = e1
| op(e3,e2) = e2
| op(e3,e2) = e3 ),
inference(resolve,[$cnf( $equal(op(e3,e2),e4) )],[refute_7_13,refute_7_19]) ).
cnf(refute_7_21,plain,
op(e3,e2) != op(e3,e4),
inference(canonicalize,[],[normalize_7_9]) ).
cnf(refute_7_22,plain,
e1 = op(op(e2,op(e2,e2)),op(e2,e2)),
inference(canonicalize,[],[normalize_7_10]) ).
cnf(refute_7_23,plain,
op(e3,op(e2,e2)) = op(e3,op(e2,e2)),
introduced(tautology,[refl,[$fot(op(e3,op(e2,e2)))]]) ).
cnf(refute_7_24,plain,
( op(e2,e2) != e4
| op(e3,op(e2,e2)) != op(e3,op(e2,e2))
| op(e3,op(e2,e2)) = op(e3,e4) ),
introduced(tautology,[equality,[$cnf( $equal(op(e3,op(e2,e2)),op(e3,op(e2,e2))) ),[1,1],$fot(e4)]]) ).
cnf(refute_7_25,plain,
( op(e2,e2) != e4
| op(e3,op(e2,e2)) = op(e3,e4) ),
inference(resolve,[$cnf( $equal(op(e3,op(e2,e2)),op(e3,op(e2,e2))) )],[refute_7_23,refute_7_24]) ).
cnf(refute_7_26,plain,
op(e3,op(e2,e2)) = op(e3,e4),
inference(resolve,[$cnf( $equal(op(e2,e2),e4) )],[refute_7_7,refute_7_25]) ).
cnf(refute_7_27,plain,
e3 = op(e2,op(e2,e2)),
inference(canonicalize,[],[normalize_7_11]) ).
cnf(refute_7_28,plain,
( e3 != op(e2,op(e2,e2))
| op(e2,op(e2,e2)) = e3 ),
inference(subst,[],[refute_7_5:[bind(X,$fot(e3)),bind(Y,$fot(op(e2,op(e2,e2))))]]) ).
cnf(refute_7_29,plain,
op(e2,op(e2,e2)) = e3,
inference(resolve,[$cnf( $equal(e3,op(e2,op(e2,e2))) )],[refute_7_27,refute_7_28]) ).
cnf(refute_7_30,plain,
op(op(e2,op(e2,e2)),op(e2,e2)) = op(op(e2,op(e2,e2)),op(e2,e2)),
introduced(tautology,[refl,[$fot(op(op(e2,op(e2,e2)),op(e2,e2)))]]) ).
cnf(refute_7_31,plain,
( op(e2,op(e2,e2)) != e3
| op(op(e2,op(e2,e2)),op(e2,e2)) != op(op(e2,op(e2,e2)),op(e2,e2))
| op(op(e2,op(e2,e2)),op(e2,e2)) = op(e3,op(e2,e2)) ),
introduced(tautology,[equality,[$cnf( $equal(op(op(e2,op(e2,e2)),op(e2,e2)),op(op(e2,op(e2,e2)),op(e2,e2))) ),[1,0],$fot(e3)]]) ).
cnf(refute_7_32,plain,
( op(e2,op(e2,e2)) != e3
| op(op(e2,op(e2,e2)),op(e2,e2)) = op(e3,op(e2,e2)) ),
inference(resolve,[$cnf( $equal(op(op(e2,op(e2,e2)),op(e2,e2)),op(op(e2,op(e2,e2)),op(e2,e2))) )],[refute_7_30,refute_7_31]) ).
cnf(refute_7_33,plain,
op(op(e2,op(e2,e2)),op(e2,e2)) = op(e3,op(e2,e2)),
inference(resolve,[$cnf( $equal(op(e2,op(e2,e2)),e3) )],[refute_7_29,refute_7_32]) ).
cnf(refute_7_34,plain,
( Y != X
| Y != Z
| X = Z ),
introduced(tautology,[equality,[$cnf( $equal(Y,Z) ),[0],$fot(X)]]) ).
cnf(refute_7_35,plain,
( X != Y
| Y != Z
| X = Z ),
inference(resolve,[$cnf( $equal(Y,X) )],[refute_7_5,refute_7_34]) ).
cnf(refute_7_36,plain,
( op(e3,op(e2,e2)) != op(e3,e4)
| op(op(e2,op(e2,e2)),op(e2,e2)) != op(e3,op(e2,e2))
| op(op(e2,op(e2,e2)),op(e2,e2)) = op(e3,e4) ),
inference(subst,[],[refute_7_35:[bind(X,$fot(op(op(e2,op(e2,e2)),op(e2,e2)))),bind(Y,$fot(op(e3,op(e2,e2)))),bind(Z,$fot(op(e3,e4)))]]) ).
cnf(refute_7_37,plain,
( op(e3,op(e2,e2)) != op(e3,e4)
| op(op(e2,op(e2,e2)),op(e2,e2)) = op(e3,e4) ),
inference(resolve,[$cnf( $equal(op(op(e2,op(e2,e2)),op(e2,e2)),op(e3,op(e2,e2))) )],[refute_7_33,refute_7_36]) ).
cnf(refute_7_38,plain,
op(op(e2,op(e2,e2)),op(e2,e2)) = op(e3,e4),
inference(resolve,[$cnf( $equal(op(e3,op(e2,e2)),op(e3,e4)) )],[refute_7_26,refute_7_37]) ).
cnf(refute_7_39,plain,
( e1 != op(op(e2,op(e2,e2)),op(e2,e2))
| op(op(e2,op(e2,e2)),op(e2,e2)) != op(e3,e4)
| e1 = op(e3,e4) ),
introduced(tautology,[equality,[$cnf( ~ $equal(e1,op(e3,e4)) ),[0],$fot(op(op(e2,op(e2,e2)),op(e2,e2)))]]) ).
cnf(refute_7_40,plain,
( e1 != op(op(e2,op(e2,e2)),op(e2,e2))
| e1 = op(e3,e4) ),
inference(resolve,[$cnf( $equal(op(op(e2,op(e2,e2)),op(e2,e2)),op(e3,e4)) )],[refute_7_38,refute_7_39]) ).
cnf(refute_7_41,plain,
e1 = op(e3,e4),
inference(resolve,[$cnf( $equal(e1,op(op(e2,op(e2,e2)),op(e2,e2))) )],[refute_7_22,refute_7_40]) ).
cnf(refute_7_42,plain,
( e1 != op(e3,e4)
| op(e3,e4) = e1 ),
inference(subst,[],[refute_7_5:[bind(X,$fot(e1)),bind(Y,$fot(op(e3,e4)))]]) ).
cnf(refute_7_43,plain,
op(e3,e4) = e1,
inference(resolve,[$cnf( $equal(e1,op(e3,e4)) )],[refute_7_41,refute_7_42]) ).
cnf(refute_7_44,plain,
( op(e3,e2) != e1
| op(e3,e4) != e1
| op(e3,e2) = op(e3,e4) ),
introduced(tautology,[equality,[$cnf( ~ $equal(op(e3,e2),op(e3,e4)) ),[1],$fot(e1)]]) ).
cnf(refute_7_45,plain,
( op(e3,e2) != e1
| op(e3,e2) = op(e3,e4) ),
inference(resolve,[$cnf( $equal(op(e3,e4),e1) )],[refute_7_43,refute_7_44]) ).
cnf(refute_7_46,plain,
op(e3,e2) != e1,
inference(resolve,[$cnf( $equal(op(e3,e2),op(e3,e4)) )],[refute_7_45,refute_7_21]) ).
cnf(refute_7_47,plain,
( op(e3,e2) = e0
| op(e3,e2) = e2
| op(e3,e2) = e3 ),
inference(resolve,[$cnf( $equal(op(e3,e2),e1) )],[refute_7_20,refute_7_46]) ).
cnf(refute_7_48,plain,
op(e0,e2) != op(e3,e2),
inference(canonicalize,[],[normalize_7_12]) ).
cnf(refute_7_49,plain,
op(unit,e2) = e2,
inference(canonicalize,[],[normalize_7_14]) ).
cnf(refute_7_50,plain,
op(op(e1,e2),e2) = e1,
inference(canonicalize,[],[normalize_7_16]) ).
cnf(refute_7_51,plain,
op(e3,unit) = e3,
inference(canonicalize,[],[normalize_7_17]) ).
cnf(refute_7_52,plain,
op(unit,e4) = e4,
inference(canonicalize,[],[normalize_7_18]) ).
cnf(refute_7_53,plain,
op(unit,e3) = e3,
inference(canonicalize,[],[normalize_7_19]) ).
cnf(refute_7_54,plain,
( unit = e0
| unit = e1
| unit = e2
| unit = e3
| unit = e4 ),
inference(canonicalize,[],[normalize_7_20]) ).
cnf(refute_7_55,plain,
( op(unit,e3) != e3
| unit != e2
| op(e2,e3) = e3 ),
introduced(tautology,[equality,[$cnf( $equal(op(unit,e3),e3) ),[0,0],$fot(e2)]]) ).
cnf(refute_7_56,plain,
( op(unit,e3) != e3
| op(e2,e3) = e3
| unit = e0
| unit = e1
| unit = e3
| unit = e4 ),
inference(resolve,[$cnf( $equal(unit,e2) )],[refute_7_54,refute_7_55]) ).
cnf(refute_7_57,plain,
( op(e2,e3) = e3
| unit = e0
| unit = e1
| unit = e3
| unit = e4 ),
inference(resolve,[$cnf( $equal(op(unit,e3),e3) )],[refute_7_53,refute_7_56]) ).
cnf(refute_7_58,plain,
op(e2,e3) != op(e2,e4),
inference(canonicalize,[],[normalize_7_21]) ).
cnf(refute_7_59,plain,
op(e2,op(e2,e2)) = op(e2,op(e2,e2)),
introduced(tautology,[refl,[$fot(op(e2,op(e2,e2)))]]) ).
cnf(refute_7_60,plain,
( op(e2,e2) != e4
| op(e2,op(e2,e2)) != op(e2,op(e2,e2))
| op(e2,op(e2,e2)) = op(e2,e4) ),
introduced(tautology,[equality,[$cnf( $equal(op(e2,op(e2,e2)),op(e2,op(e2,e2))) ),[1,1],$fot(e4)]]) ).
cnf(refute_7_61,plain,
( op(e2,e2) != e4
| op(e2,op(e2,e2)) = op(e2,e4) ),
inference(resolve,[$cnf( $equal(op(e2,op(e2,e2)),op(e2,op(e2,e2))) )],[refute_7_59,refute_7_60]) ).
cnf(refute_7_62,plain,
op(e2,op(e2,e2)) = op(e2,e4),
inference(resolve,[$cnf( $equal(op(e2,e2),e4) )],[refute_7_7,refute_7_61]) ).
cnf(refute_7_63,plain,
( e3 != op(e2,op(e2,e2))
| op(e2,op(e2,e2)) != op(e2,e4)
| e3 = op(e2,e4) ),
introduced(tautology,[equality,[$cnf( ~ $equal(e3,op(e2,e4)) ),[0],$fot(op(e2,op(e2,e2)))]]) ).
cnf(refute_7_64,plain,
( e3 != op(e2,op(e2,e2))
| e3 = op(e2,e4) ),
inference(resolve,[$cnf( $equal(op(e2,op(e2,e2)),op(e2,e4)) )],[refute_7_62,refute_7_63]) ).
cnf(refute_7_65,plain,
e3 = op(e2,e4),
inference(resolve,[$cnf( $equal(e3,op(e2,op(e2,e2))) )],[refute_7_27,refute_7_64]) ).
cnf(refute_7_66,plain,
( e3 != op(e2,e4)
| op(e2,e4) = e3 ),
inference(subst,[],[refute_7_5:[bind(X,$fot(e3)),bind(Y,$fot(op(e2,e4)))]]) ).
cnf(refute_7_67,plain,
op(e2,e4) = e3,
inference(resolve,[$cnf( $equal(e3,op(e2,e4)) )],[refute_7_65,refute_7_66]) ).
cnf(refute_7_68,plain,
( op(e2,e3) != e3
| op(e2,e4) != e3
| op(e2,e3) = op(e2,e4) ),
introduced(tautology,[equality,[$cnf( ~ $equal(op(e2,e3),op(e2,e4)) ),[1],$fot(e3)]]) ).
cnf(refute_7_69,plain,
( op(e2,e3) != e3
| op(e2,e3) = op(e2,e4) ),
inference(resolve,[$cnf( $equal(op(e2,e4),e3) )],[refute_7_67,refute_7_68]) ).
cnf(refute_7_70,plain,
op(e2,e3) != e3,
inference(resolve,[$cnf( $equal(op(e2,e3),op(e2,e4)) )],[refute_7_69,refute_7_58]) ).
cnf(refute_7_71,plain,
( unit = e0
| unit = e1
| unit = e3
| unit = e4 ),
inference(resolve,[$cnf( $equal(op(e2,e3),e3) )],[refute_7_57,refute_7_70]) ).
cnf(refute_7_72,plain,
( op(unit,e4) != e4
| unit != e3
| op(e3,e4) = e4 ),
introduced(tautology,[equality,[$cnf( $equal(op(unit,e4),e4) ),[0,0],$fot(e3)]]) ).
cnf(refute_7_73,plain,
( op(unit,e4) != e4
| op(e3,e4) = e4
| unit = e0
| unit = e1
| unit = e4 ),
inference(resolve,[$cnf( $equal(unit,e3) )],[refute_7_71,refute_7_72]) ).
cnf(refute_7_74,plain,
( op(e3,e4) = e4
| unit = e0
| unit = e1
| unit = e4 ),
inference(resolve,[$cnf( $equal(op(unit,e4),e4) )],[refute_7_52,refute_7_73]) ).
cnf(refute_7_75,plain,
( op(e3,e4) != e1
| op(e3,e4) != e4
| e1 = e4 ),
introduced(tautology,[equality,[$cnf( $equal(op(e3,e4),e4) ),[0],$fot(e1)]]) ).
cnf(refute_7_76,plain,
( op(e3,e4) != e4
| e1 = e4 ),
inference(resolve,[$cnf( $equal(op(e3,e4),e1) )],[refute_7_43,refute_7_75]) ).
cnf(refute_7_77,plain,
( e1 = e4
| unit = e0
| unit = e1
| unit = e4 ),
inference(resolve,[$cnf( $equal(op(e3,e4),e4) )],[refute_7_74,refute_7_76]) ).
cnf(refute_7_78,plain,
e1 != e4,
inference(canonicalize,[],[normalize_7_23]) ).
cnf(refute_7_79,plain,
( unit = e0
| unit = e1
| unit = e4 ),
inference(resolve,[$cnf( $equal(e1,e4) )],[refute_7_77,refute_7_78]) ).
cnf(refute_7_80,plain,
( op(e3,unit) != e3
| unit != e4
| op(e3,e4) = e3 ),
introduced(tautology,[equality,[$cnf( $equal(op(e3,unit),e3) ),[0,1],$fot(e4)]]) ).
cnf(refute_7_81,plain,
( op(e3,unit) != e3
| op(e3,e4) = e3
| unit = e0
| unit = e1 ),
inference(resolve,[$cnf( $equal(unit,e4) )],[refute_7_79,refute_7_80]) ).
cnf(refute_7_82,plain,
( op(e3,e4) = e3
| unit = e0
| unit = e1 ),
inference(resolve,[$cnf( $equal(op(e3,unit),e3) )],[refute_7_51,refute_7_81]) ).
cnf(refute_7_83,plain,
( op(e3,e4) != e1
| op(e3,e4) != e3
| e1 = e3 ),
introduced(tautology,[equality,[$cnf( $equal(op(e3,e4),e3) ),[0],$fot(e1)]]) ).
cnf(refute_7_84,plain,
( op(e3,e4) != e3
| e1 = e3 ),
inference(resolve,[$cnf( $equal(op(e3,e4),e1) )],[refute_7_43,refute_7_83]) ).
cnf(refute_7_85,plain,
( e1 = e3
| unit = e0
| unit = e1 ),
inference(resolve,[$cnf( $equal(op(e3,e4),e3) )],[refute_7_82,refute_7_84]) ).
cnf(refute_7_86,plain,
e1 != e3,
inference(canonicalize,[],[normalize_7_24]) ).
cnf(refute_7_87,plain,
( unit = e0
| unit = e1 ),
inference(resolve,[$cnf( $equal(e1,e3) )],[refute_7_85,refute_7_86]) ).
cnf(refute_7_88,plain,
( op(unit,e2) != e2
| unit != e1
| op(e1,e2) = e2 ),
introduced(tautology,[equality,[$cnf( $equal(op(unit,e2),e2) ),[0,0],$fot(e1)]]) ).
cnf(refute_7_89,plain,
( op(unit,e2) != e2
| op(e1,e2) = e2
| unit = e0 ),
inference(resolve,[$cnf( $equal(unit,e1) )],[refute_7_87,refute_7_88]) ).
cnf(refute_7_90,plain,
( op(e1,e2) = e2
| unit = e0 ),
inference(resolve,[$cnf( $equal(op(unit,e2),e2) )],[refute_7_49,refute_7_89]) ).
cnf(refute_7_91,plain,
( op(e1,e2) != e2
| op(op(e1,e2),e2) != e1
| op(e2,e2) = e1 ),
introduced(tautology,[equality,[$cnf( $equal(op(op(e1,e2),e2),e1) ),[0,0],$fot(e2)]]) ).
cnf(refute_7_92,plain,
( op(op(e1,e2),e2) != e1
| op(e2,e2) = e1
| unit = e0 ),
inference(resolve,[$cnf( $equal(op(e1,e2),e2) )],[refute_7_90,refute_7_91]) ).
cnf(refute_7_93,plain,
( op(e2,e2) = e1
| unit = e0 ),
inference(resolve,[$cnf( $equal(op(op(e1,e2),e2),e1) )],[refute_7_50,refute_7_92]) ).
cnf(refute_7_94,plain,
( op(e2,e2) != e1
| op(e2,e2) != e4
| e4 = e1 ),
introduced(tautology,[equality,[$cnf( $equal(op(e2,e2),e1) ),[0],$fot(e4)]]) ).
cnf(refute_7_95,plain,
( op(e2,e2) != e1
| e4 = e1 ),
inference(resolve,[$cnf( $equal(op(e2,e2),e4) )],[refute_7_7,refute_7_94]) ).
cnf(refute_7_96,plain,
( e4 = e1
| unit = e0 ),
inference(resolve,[$cnf( $equal(op(e2,e2),e1) )],[refute_7_93,refute_7_95]) ).
cnf(refute_7_97,plain,
( e4 != e1
| e1 = e4 ),
inference(subst,[],[refute_7_5:[bind(X,$fot(e4)),bind(Y,$fot(e1))]]) ).
cnf(refute_7_98,plain,
e4 != e1,
inference(resolve,[$cnf( $equal(e1,e4) )],[refute_7_97,refute_7_78]) ).
cnf(refute_7_99,plain,
unit = e0,
inference(resolve,[$cnf( $equal(e4,e1) )],[refute_7_96,refute_7_98]) ).
cnf(refute_7_100,plain,
op(unit,e2) = op(unit,e2),
introduced(tautology,[refl,[$fot(op(unit,e2))]]) ).
cnf(refute_7_101,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_102,plain,
( unit != e0
| op(unit,e2) = op(e0,e2) ),
inference(resolve,[$cnf( $equal(op(unit,e2),op(unit,e2)) )],[refute_7_100,refute_7_101]) ).
cnf(refute_7_103,plain,
op(unit,e2) = op(e0,e2),
inference(resolve,[$cnf( $equal(unit,e0) )],[refute_7_99,refute_7_102]) ).
cnf(refute_7_104,plain,
( op(unit,e2) != e2
| op(unit,e2) != op(e0,e2)
| op(e0,e2) = e2 ),
introduced(tautology,[equality,[$cnf( $equal(op(unit,e2),e2) ),[0],$fot(op(e0,e2))]]) ).
cnf(refute_7_105,plain,
( op(unit,e2) != e2
| op(e0,e2) = e2 ),
inference(resolve,[$cnf( $equal(op(unit,e2),op(e0,e2)) )],[refute_7_103,refute_7_104]) ).
cnf(refute_7_106,plain,
op(e0,e2) = e2,
inference(resolve,[$cnf( $equal(op(unit,e2),e2) )],[refute_7_49,refute_7_105]) ).
cnf(refute_7_107,plain,
( e2 != op(e3,e2)
| op(e0,e2) != e2
| op(e0,e2) = op(e3,e2) ),
introduced(tautology,[equality,[$cnf( $equal(op(e0,e2),e2) ),[1],$fot(op(e3,e2))]]) ).
cnf(refute_7_108,plain,
( e2 != op(e3,e2)
| op(e0,e2) = op(e3,e2) ),
inference(resolve,[$cnf( $equal(op(e0,e2),e2) )],[refute_7_106,refute_7_107]) ).
cnf(refute_7_109,plain,
e2 != op(e3,e2),
inference(resolve,[$cnf( $equal(op(e0,e2),op(e3,e2)) )],[refute_7_108,refute_7_48]) ).
cnf(refute_7_110,plain,
( op(e3,e2) != e2
| e2 = op(e3,e2) ),
inference(subst,[],[refute_7_5:[bind(X,$fot(op(e3,e2))),bind(Y,$fot(e2))]]) ).
cnf(refute_7_111,plain,
op(e3,e2) != e2,
inference(resolve,[$cnf( $equal(e2,op(e3,e2)) )],[refute_7_110,refute_7_109]) ).
cnf(refute_7_112,plain,
( op(e3,e2) = e0
| op(e3,e2) = e3 ),
inference(resolve,[$cnf( $equal(op(e3,e2),e2) )],[refute_7_47,refute_7_111]) ).
cnf(refute_7_113,plain,
op(e3,e0) != op(e3,e2),
inference(canonicalize,[],[normalize_7_25]) ).
cnf(refute_7_114,plain,
op(e3,unit) = op(e3,unit),
introduced(tautology,[refl,[$fot(op(e3,unit))]]) ).
cnf(refute_7_115,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_116,plain,
( unit != e0
| op(e3,unit) = op(e3,e0) ),
inference(resolve,[$cnf( $equal(op(e3,unit),op(e3,unit)) )],[refute_7_114,refute_7_115]) ).
cnf(refute_7_117,plain,
op(e3,unit) = op(e3,e0),
inference(resolve,[$cnf( $equal(unit,e0) )],[refute_7_99,refute_7_116]) ).
cnf(refute_7_118,plain,
( op(e3,unit) != e3
| op(e3,unit) != op(e3,e0)
| op(e3,e0) = e3 ),
introduced(tautology,[equality,[$cnf( $equal(op(e3,unit),e3) ),[0],$fot(op(e3,e0))]]) ).
cnf(refute_7_119,plain,
( op(e3,unit) != e3
| op(e3,e0) = e3 ),
inference(resolve,[$cnf( $equal(op(e3,unit),op(e3,e0)) )],[refute_7_117,refute_7_118]) ).
cnf(refute_7_120,plain,
op(e3,e0) = e3,
inference(resolve,[$cnf( $equal(op(e3,unit),e3) )],[refute_7_51,refute_7_119]) ).
cnf(refute_7_121,plain,
( e3 != op(e3,e2)
| op(e3,e0) != e3
| op(e3,e0) = op(e3,e2) ),
introduced(tautology,[equality,[$cnf( $equal(op(e3,e0),e3) ),[1],$fot(op(e3,e2))]]) ).
cnf(refute_7_122,plain,
( e3 != op(e3,e2)
| op(e3,e0) = op(e3,e2) ),
inference(resolve,[$cnf( $equal(op(e3,e0),e3) )],[refute_7_120,refute_7_121]) ).
cnf(refute_7_123,plain,
e3 != op(e3,e2),
inference(resolve,[$cnf( $equal(op(e3,e0),op(e3,e2)) )],[refute_7_122,refute_7_113]) ).
cnf(refute_7_124,plain,
( op(e3,e2) != e3
| e3 = op(e3,e2) ),
inference(subst,[],[refute_7_5:[bind(X,$fot(op(e3,e2))),bind(Y,$fot(e3))]]) ).
cnf(refute_7_125,plain,
op(e3,e2) != e3,
inference(resolve,[$cnf( $equal(e3,op(e3,e2)) )],[refute_7_124,refute_7_123]) ).
cnf(refute_7_126,plain,
op(e3,e2) = e0,
inference(resolve,[$cnf( $equal(op(e3,e2),e3) )],[refute_7_112,refute_7_125]) ).
cnf(refute_7_127,plain,
( op(e1,e2) != e0
| op(e3,e2) != e0
| op(e1,e2) = op(e3,e2) ),
introduced(tautology,[equality,[$cnf( ~ $equal(op(e1,e2),op(e3,e2)) ),[1],$fot(e0)]]) ).
cnf(refute_7_128,plain,
( op(e1,e2) != e0
| op(e1,e2) = op(e3,e2) ),
inference(resolve,[$cnf( $equal(op(e3,e2),e0) )],[refute_7_126,refute_7_127]) ).
cnf(refute_7_129,plain,
op(e1,e2) != e0,
inference(resolve,[$cnf( $equal(op(e1,e2),op(e3,e2)) )],[refute_7_128,refute_7_12]) ).
cnf(refute_7_130,plain,
( op(e1,e2) = e1
| op(e1,e2) = e2
| op(e1,e2) = e3 ),
inference(resolve,[$cnf( $equal(op(e1,e2),e0) )],[refute_7_11,refute_7_129]) ).
cnf(refute_7_131,plain,
op(e1,e0) != op(e1,e2),
inference(canonicalize,[],[normalize_7_26]) ).
cnf(refute_7_132,plain,
op(e1,unit) = e1,
inference(canonicalize,[],[normalize_7_27]) ).
cnf(refute_7_133,plain,
op(e1,unit) = op(e1,unit),
introduced(tautology,[refl,[$fot(op(e1,unit))]]) ).
cnf(refute_7_134,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_7_135,plain,
( unit != e0
| op(e1,unit) = op(e1,e0) ),
inference(resolve,[$cnf( $equal(op(e1,unit),op(e1,unit)) )],[refute_7_133,refute_7_134]) ).
cnf(refute_7_136,plain,
op(e1,unit) = op(e1,e0),
inference(resolve,[$cnf( $equal(unit,e0) )],[refute_7_99,refute_7_135]) ).
cnf(refute_7_137,plain,
( op(e1,unit) != e1
| op(e1,unit) != op(e1,e0)
| op(e1,e0) = e1 ),
introduced(tautology,[equality,[$cnf( $equal(op(e1,unit),e1) ),[0],$fot(op(e1,e0))]]) ).
cnf(refute_7_138,plain,
( op(e1,unit) != e1
| op(e1,e0) = e1 ),
inference(resolve,[$cnf( $equal(op(e1,unit),op(e1,e0)) )],[refute_7_136,refute_7_137]) ).
cnf(refute_7_139,plain,
op(e1,e0) = e1,
inference(resolve,[$cnf( $equal(op(e1,unit),e1) )],[refute_7_132,refute_7_138]) ).
cnf(refute_7_140,plain,
( e1 != op(e1,e2)
| op(e1,e0) != e1
| op(e1,e0) = op(e1,e2) ),
introduced(tautology,[equality,[$cnf( $equal(op(e1,e0),e1) ),[1],$fot(op(e1,e2))]]) ).
cnf(refute_7_141,plain,
( e1 != op(e1,e2)
| op(e1,e0) = op(e1,e2) ),
inference(resolve,[$cnf( $equal(op(e1,e0),e1) )],[refute_7_139,refute_7_140]) ).
cnf(refute_7_142,plain,
e1 != op(e1,e2),
inference(resolve,[$cnf( $equal(op(e1,e0),op(e1,e2)) )],[refute_7_141,refute_7_131]) ).
cnf(refute_7_143,plain,
( op(e1,e2) != e1
| e1 = op(e1,e2) ),
inference(subst,[],[refute_7_5:[bind(X,$fot(op(e1,e2))),bind(Y,$fot(e1))]]) ).
cnf(refute_7_144,plain,
op(e1,e2) != e1,
inference(resolve,[$cnf( $equal(e1,op(e1,e2)) )],[refute_7_143,refute_7_142]) ).
cnf(refute_7_145,plain,
( op(e1,e2) = e2
| op(e1,e2) = e3 ),
inference(resolve,[$cnf( $equal(op(e1,e2),e1) )],[refute_7_130,refute_7_144]) ).
cnf(refute_7_146,plain,
op(e0,e2) != op(e1,e2),
inference(canonicalize,[],[normalize_7_28]) ).
cnf(refute_7_147,plain,
( e2 != op(e1,e2)
| op(e0,e2) != e2
| op(e0,e2) = op(e1,e2) ),
introduced(tautology,[equality,[$cnf( $equal(op(e0,e2),e2) ),[1],$fot(op(e1,e2))]]) ).
cnf(refute_7_148,plain,
( e2 != op(e1,e2)
| op(e0,e2) = op(e1,e2) ),
inference(resolve,[$cnf( $equal(op(e0,e2),e2) )],[refute_7_106,refute_7_147]) ).
cnf(refute_7_149,plain,
e2 != op(e1,e2),
inference(resolve,[$cnf( $equal(op(e0,e2),op(e1,e2)) )],[refute_7_148,refute_7_146]) ).
cnf(refute_7_150,plain,
( op(e1,e2) != e2
| e2 = op(e1,e2) ),
inference(subst,[],[refute_7_5:[bind(X,$fot(op(e1,e2))),bind(Y,$fot(e2))]]) ).
cnf(refute_7_151,plain,
op(e1,e2) != e2,
inference(resolve,[$cnf( $equal(e2,op(e1,e2)) )],[refute_7_150,refute_7_149]) ).
cnf(refute_7_152,plain,
op(e1,e2) = e3,
inference(resolve,[$cnf( $equal(op(e1,e2),e2) )],[refute_7_145,refute_7_151]) ).
cnf(refute_7_153,plain,
op(e1,e1) != op(e1,e2),
inference(canonicalize,[],[normalize_7_29]) ).
cnf(refute_7_154,plain,
op(e4,e1) != op(e4,e2),
inference(canonicalize,[],[normalize_7_30]) ).
cnf(refute_7_155,plain,
( op(e0,e2) = e3
| op(e1,e2) = e3
| op(e2,e2) = e3
| op(e3,e2) = e3
| op(e4,e2) = e3 ),
inference(canonicalize,[],[normalize_7_32]) ).
cnf(refute_7_156,plain,
( op(e2,e2) != e3
| op(e2,e2) != e4
| e4 = e3 ),
introduced(tautology,[equality,[$cnf( $equal(op(e2,e2),e3) ),[0],$fot(e4)]]) ).
cnf(refute_7_157,plain,
( op(e2,e2) != e3
| e4 = e3 ),
inference(resolve,[$cnf( $equal(op(e2,e2),e4) )],[refute_7_7,refute_7_156]) ).
cnf(refute_7_158,plain,
( e4 = e3
| op(e0,e2) = e3
| op(e1,e2) = e3
| op(e3,e2) = e3
| op(e4,e2) = e3 ),
inference(resolve,[$cnf( $equal(op(e2,e2),e3) )],[refute_7_155,refute_7_157]) ).
cnf(refute_7_159,plain,
e3 != e4,
inference(canonicalize,[],[normalize_7_33]) ).
cnf(refute_7_160,plain,
( e4 != e3
| e3 = e4 ),
inference(subst,[],[refute_7_5:[bind(X,$fot(e4)),bind(Y,$fot(e3))]]) ).
cnf(refute_7_161,plain,
e4 != e3,
inference(resolve,[$cnf( $equal(e3,e4) )],[refute_7_160,refute_7_159]) ).
cnf(refute_7_162,plain,
( op(e0,e2) = e3
| op(e1,e2) = e3
| op(e3,e2) = e3
| op(e4,e2) = e3 ),
inference(resolve,[$cnf( $equal(e4,e3) )],[refute_7_158,refute_7_161]) ).
cnf(refute_7_163,plain,
( op(e0,e2) != e2
| op(e0,e2) != e3
| e2 = e3 ),
introduced(tautology,[equality,[$cnf( $equal(op(e0,e2),e3) ),[0],$fot(e2)]]) ).
cnf(refute_7_164,plain,
( op(e0,e2) != e3
| e2 = e3 ),
inference(resolve,[$cnf( $equal(op(e0,e2),e2) )],[refute_7_106,refute_7_163]) ).
cnf(refute_7_165,plain,
( e2 = e3
| op(e1,e2) = e3
| op(e3,e2) = e3
| op(e4,e2) = e3 ),
inference(resolve,[$cnf( $equal(op(e0,e2),e3) )],[refute_7_162,refute_7_164]) ).
cnf(refute_7_166,plain,
( op(e3,e2) != e0
| op(e3,e2) != e3
| e0 = e3 ),
introduced(tautology,[equality,[$cnf( $equal(op(e3,e2),e3) ),[0],$fot(e0)]]) ).
cnf(refute_7_167,plain,
( op(e3,e2) != e3
| e0 = e3 ),
inference(resolve,[$cnf( $equal(op(e3,e2),e0) )],[refute_7_126,refute_7_166]) ).
cnf(refute_7_168,plain,
( e0 = e3
| e2 = e3
| op(e1,e2) = e3
| op(e4,e2) = e3 ),
inference(resolve,[$cnf( $equal(op(e3,e2),e3) )],[refute_7_165,refute_7_167]) ).
cnf(refute_7_169,plain,
e0 != e3,
inference(canonicalize,[],[normalize_7_34]) ).
cnf(refute_7_170,plain,
( e2 = e3
| op(e1,e2) = e3
| op(e4,e2) = e3 ),
inference(resolve,[$cnf( $equal(e0,e3) )],[refute_7_168,refute_7_169]) ).
cnf(refute_7_171,plain,
e2 != e3,
inference(canonicalize,[],[normalize_7_35]) ).
cnf(refute_7_172,plain,
( op(e1,e2) = e3
| op(e4,e2) = e3 ),
inference(resolve,[$cnf( $equal(e2,e3) )],[refute_7_170,refute_7_171]) ).
cnf(refute_7_173,plain,
( op(e4,e1) != e3
| op(e4,e2) != e3
| op(e4,e1) = op(e4,e2) ),
introduced(tautology,[equality,[$cnf( ~ $equal(op(e4,e1),op(e4,e2)) ),[1],$fot(e3)]]) ).
cnf(refute_7_174,plain,
( op(e4,e1) != e3
| op(e1,e2) = e3
| op(e4,e1) = op(e4,e2) ),
inference(resolve,[$cnf( $equal(op(e4,e2),e3) )],[refute_7_172,refute_7_173]) ).
cnf(refute_7_175,plain,
( op(e4,e1) != e3
| op(e1,e2) = e3 ),
inference(resolve,[$cnf( $equal(op(e4,e1),op(e4,e2)) )],[refute_7_174,refute_7_154]) ).
cnf(refute_7_176,plain,
( op(e0,e1) = e3
| op(e1,e1) = e3
| op(e2,e1) = e3
| op(e3,e1) = e3
| op(e4,e1) = e3 ),
inference(canonicalize,[],[normalize_7_36]) ).
cnf(refute_7_177,plain,
op(unit,e1) = e1,
inference(canonicalize,[],[normalize_7_37]) ).
cnf(refute_7_178,plain,
op(unit,e1) = op(unit,e1),
introduced(tautology,[refl,[$fot(op(unit,e1))]]) ).
cnf(refute_7_179,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_180,plain,
( unit != e0
| op(unit,e1) = op(e0,e1) ),
inference(resolve,[$cnf( $equal(op(unit,e1),op(unit,e1)) )],[refute_7_178,refute_7_179]) ).
cnf(refute_7_181,plain,
op(unit,e1) = op(e0,e1),
inference(resolve,[$cnf( $equal(unit,e0) )],[refute_7_99,refute_7_180]) ).
cnf(refute_7_182,plain,
( op(unit,e1) != e1
| op(unit,e1) != op(e0,e1)
| op(e0,e1) = e1 ),
introduced(tautology,[equality,[$cnf( $equal(op(unit,e1),e1) ),[0],$fot(op(e0,e1))]]) ).
cnf(refute_7_183,plain,
( op(unit,e1) != e1
| op(e0,e1) = e1 ),
inference(resolve,[$cnf( $equal(op(unit,e1),op(e0,e1)) )],[refute_7_181,refute_7_182]) ).
cnf(refute_7_184,plain,
op(e0,e1) = e1,
inference(resolve,[$cnf( $equal(op(unit,e1),e1) )],[refute_7_177,refute_7_183]) ).
cnf(refute_7_185,plain,
( op(e0,e1) != e1
| op(e0,e1) != e3
| e1 = e3 ),
introduced(tautology,[equality,[$cnf( $equal(op(e0,e1),e3) ),[0],$fot(e1)]]) ).
cnf(refute_7_186,plain,
( op(e0,e1) != e3
| e1 = e3 ),
inference(resolve,[$cnf( $equal(op(e0,e1),e1) )],[refute_7_184,refute_7_185]) ).
cnf(refute_7_187,plain,
( e1 = e3
| op(e1,e1) = e3
| op(e2,e1) = e3
| op(e3,e1) = e3
| op(e4,e1) = e3 ),
inference(resolve,[$cnf( $equal(op(e0,e1),e3) )],[refute_7_176,refute_7_186]) ).
cnf(refute_7_188,plain,
( op(e1,e1) = e3
| op(e2,e1) = e3
| op(e3,e1) = e3
| op(e4,e1) = e3 ),
inference(resolve,[$cnf( $equal(e1,e3) )],[refute_7_187,refute_7_86]) ).
cnf(refute_7_189,plain,
op(e2,e1) != op(e2,e4),
inference(canonicalize,[],[normalize_7_38]) ).
cnf(refute_7_190,plain,
( op(e2,e1) != e3
| op(e2,e4) != e3
| op(e2,e1) = op(e2,e4) ),
introduced(tautology,[equality,[$cnf( ~ $equal(op(e2,e1),op(e2,e4)) ),[1],$fot(e3)]]) ).
cnf(refute_7_191,plain,
( op(e2,e1) != e3
| op(e2,e1) = op(e2,e4) ),
inference(resolve,[$cnf( $equal(op(e2,e4),e3) )],[refute_7_67,refute_7_190]) ).
cnf(refute_7_192,plain,
op(e2,e1) != e3,
inference(resolve,[$cnf( $equal(op(e2,e1),op(e2,e4)) )],[refute_7_191,refute_7_189]) ).
cnf(refute_7_193,plain,
( op(e1,e1) = e3
| op(e3,e1) = e3
| op(e4,e1) = e3 ),
inference(resolve,[$cnf( $equal(op(e2,e1),e3) )],[refute_7_188,refute_7_192]) ).
cnf(refute_7_194,plain,
op(e3,e0) != op(e3,e1),
inference(canonicalize,[],[normalize_7_39]) ).
cnf(refute_7_195,plain,
( e3 != op(e3,e1)
| op(e3,e0) != e3
| op(e3,e0) = op(e3,e1) ),
introduced(tautology,[equality,[$cnf( $equal(op(e3,e0),e3) ),[1],$fot(op(e3,e1))]]) ).
cnf(refute_7_196,plain,
( e3 != op(e3,e1)
| op(e3,e0) = op(e3,e1) ),
inference(resolve,[$cnf( $equal(op(e3,e0),e3) )],[refute_7_120,refute_7_195]) ).
cnf(refute_7_197,plain,
e3 != op(e3,e1),
inference(resolve,[$cnf( $equal(op(e3,e0),op(e3,e1)) )],[refute_7_196,refute_7_194]) ).
cnf(refute_7_198,plain,
( op(e3,e1) != e3
| e3 = op(e3,e1) ),
inference(subst,[],[refute_7_5:[bind(X,$fot(op(e3,e1))),bind(Y,$fot(e3))]]) ).
cnf(refute_7_199,plain,
op(e3,e1) != e3,
inference(resolve,[$cnf( $equal(e3,op(e3,e1)) )],[refute_7_198,refute_7_197]) ).
cnf(refute_7_200,plain,
( op(e1,e1) = e3
| op(e4,e1) = e3 ),
inference(resolve,[$cnf( $equal(op(e3,e1),e3) )],[refute_7_193,refute_7_199]) ).
cnf(refute_7_201,plain,
( e3 != e3
| op(e4,e1) != e3
| op(e4,e1) = e3 ),
introduced(tautology,[equality,[$cnf( $equal(op(e4,e1),e3) ),[1],$fot(e3)]]) ).
cnf(refute_7_202,plain,
( e3 != e3
| op(e1,e1) = e3
| op(e4,e1) = e3 ),
inference(resolve,[$cnf( $equal(op(e4,e1),e3) )],[refute_7_200,refute_7_201]) ).
cnf(refute_7_203,plain,
( e3 != e3
| op(e1,e1) = e3
| op(e1,e2) = e3 ),
inference(resolve,[$cnf( $equal(op(e4,e1),e3) )],[refute_7_202,refute_7_175]) ).
cnf(refute_7_204,plain,
e3 = e3,
introduced(tautology,[refl,[$fot(e3)]]) ).
cnf(refute_7_205,plain,
( op(e1,e1) = e3
| op(e1,e2) = e3 ),
inference(resolve,[$cnf( $equal(e3,e3) )],[refute_7_204,refute_7_203]) ).
cnf(refute_7_206,plain,
( op(e1,e2) != e3
| op(op(e1,e2),e2) != e1
| op(e3,e2) = e1 ),
introduced(tautology,[equality,[$cnf( $equal(op(op(e1,e2),e2),e1) ),[0,0],$fot(e3)]]) ).
cnf(refute_7_207,plain,
( op(op(e1,e2),e2) != e1
| op(e1,e1) = e3
| op(e3,e2) = e1 ),
inference(resolve,[$cnf( $equal(op(e1,e2),e3) )],[refute_7_205,refute_7_206]) ).
cnf(refute_7_208,plain,
( op(e1,e1) = e3
| op(e3,e2) = e1 ),
inference(resolve,[$cnf( $equal(op(op(e1,e2),e2),e1) )],[refute_7_50,refute_7_207]) ).
cnf(refute_7_209,plain,
( op(e3,e2) != e0
| op(e3,e2) != e1
| e0 = e1 ),
introduced(tautology,[equality,[$cnf( $equal(op(e3,e2),e1) ),[0],$fot(e0)]]) ).
cnf(refute_7_210,plain,
( op(e3,e2) != e1
| e0 = e1 ),
inference(resolve,[$cnf( $equal(op(e3,e2),e0) )],[refute_7_126,refute_7_209]) ).
cnf(refute_7_211,plain,
( e0 = e1
| op(e1,e1) = e3 ),
inference(resolve,[$cnf( $equal(op(e3,e2),e1) )],[refute_7_208,refute_7_210]) ).
cnf(refute_7_212,plain,
e0 != e1,
inference(canonicalize,[],[normalize_7_40]) ).
cnf(refute_7_213,plain,
op(e1,e1) = e3,
inference(resolve,[$cnf( $equal(e0,e1) )],[refute_7_211,refute_7_212]) ).
cnf(refute_7_214,plain,
( e3 != op(e1,e2)
| op(e1,e1) != e3
| op(e1,e1) = op(e1,e2) ),
introduced(tautology,[equality,[$cnf( $equal(op(e1,e1),e3) ),[1],$fot(op(e1,e2))]]) ).
cnf(refute_7_215,plain,
( e3 != op(e1,e2)
| op(e1,e1) = op(e1,e2) ),
inference(resolve,[$cnf( $equal(op(e1,e1),e3) )],[refute_7_213,refute_7_214]) ).
cnf(refute_7_216,plain,
e3 != op(e1,e2),
inference(resolve,[$cnf( $equal(op(e1,e1),op(e1,e2)) )],[refute_7_215,refute_7_153]) ).
cnf(refute_7_217,plain,
( op(e1,e2) != e3
| e3 = op(e1,e2) ),
inference(subst,[],[refute_7_5:[bind(X,$fot(op(e1,e2))),bind(Y,$fot(e3))]]) ).
cnf(refute_7_218,plain,
op(e1,e2) != e3,
inference(resolve,[$cnf( $equal(e3,op(e1,e2)) )],[refute_7_217,refute_7_216]) ).
cnf(refute_7_219,plain,
$false,
inference(resolve,[$cnf( $equal(op(e1,e2),e3) )],[refute_7_152,refute_7_218]) ).
fof(negate_8_0,plain,
~ ( ( ( ( op(e0,op(e0,e0)) != e0
& op(e0,op(e0,e0)) = e0 )
| ( op(e1,op(e1,e0)) != e0
& op(e0,op(e1,e0)) = e1 )
| ( op(e2,op(e2,e0)) != e0
& op(e0,op(e2,e0)) = e2 )
| ( op(e3,op(e3,e0)) != e0
& op(e0,op(e3,e0)) = e3 )
| ( op(e4,op(e4,e0)) != e0
& op(e0,op(e4,e0)) = e4 ) )
& ( ( op(e0,op(e0,e1)) != e1
& op(e1,op(e0,e1)) = e0 )
| ( op(e1,op(e1,e1)) != e1
& op(e1,op(e1,e1)) = e1 )
| ( op(e2,op(e2,e1)) != e1
& op(e1,op(e2,e1)) = e2 )
| ( op(e3,op(e3,e1)) != e1
& op(e1,op(e3,e1)) = e3 )
| ( op(e4,op(e4,e1)) != e1
& op(e1,op(e4,e1)) = e4 ) )
& ( ( op(e0,op(e0,e2)) != e2
& op(e2,op(e0,e2)) = e0 )
| ( op(e1,op(e1,e2)) != e2
& op(e2,op(e1,e2)) = e1 )
| ( op(e2,op(e2,e2)) != e2
& op(e2,op(e2,e2)) = e2 )
| ( op(e3,op(e3,e2)) != e2
& op(e2,op(e3,e2)) = e3 )
| ( op(e4,op(e4,e2)) != e2
& op(e2,op(e4,e2)) = e4 ) )
& ( ( op(e0,op(e0,e3)) != e3
& op(e3,op(e0,e3)) = e0 )
| ( op(e1,op(e1,e3)) != e3
& op(e3,op(e1,e3)) = e1 )
| ( op(e2,op(e2,e3)) != e3
& op(e3,op(e2,e3)) = e2 )
| ( op(e3,op(e3,e3)) != e3
& op(e3,op(e3,e3)) = e3 )
| ( op(e4,op(e4,e3)) != e3
& op(e3,op(e4,e3)) = e4 ) )
& ( ( op(e0,op(e0,e4)) != e4
& op(e4,op(e0,e4)) = e0 )
| ( op(e1,op(e1,e4)) != e4
& op(e4,op(e1,e4)) = e1 )
| ( op(e2,op(e2,e4)) != e4
& op(e4,op(e2,e4)) = e2 )
| ( op(e3,op(e3,e4)) != e4
& op(e4,op(e3,e4)) = e3 )
| ( op(e4,op(e4,e4)) != e4
& op(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,op(e0,e1)) != e1
& op(e1,op(e0,e1)) = e0 )
| ( op(e2,op(e2,e1)) != e1
& op(e1,op(e2,e1)) = e2 )
| ( op(e3,op(e3,e1)) != e1
& op(e1,op(e3,e1)) = e3 )
| ( op(e4,op(e4,e1)) != e1
& op(e1,op(e4,e1)) = e4 ) )
& ( ( op(e0,op(e0,e2)) != e2
& op(e2,op(e0,e2)) = e0 )
| ( op(e1,op(e1,e2)) != e2
& op(e2,op(e1,e2)) = e1 )
| ( op(e3,op(e3,e2)) != e2
& op(e2,op(e3,e2)) = e3 )
| ( op(e4,op(e4,e2)) != e2
& op(e2,op(e4,e2)) = e4 ) )
& ( ( op(e0,op(e0,e3)) != e3
& op(e3,op(e0,e3)) = e0 )
| ( op(e1,op(e1,e3)) != e3
& op(e3,op(e1,e3)) = e1 )
| ( op(e2,op(e2,e3)) != e3
& op(e3,op(e2,e3)) = e2 )
| ( op(e4,op(e4,e3)) != e3
& op(e3,op(e4,e3)) = e4 ) )
& ( ( op(e0,op(e0,e4)) != e4
& op(e4,op(e0,e4)) = e0 )
| ( op(e1,op(e1,e4)) != e4
& op(e4,op(e1,e4)) = e1 )
| ( op(e2,op(e2,e4)) != e4
& op(e4,op(e2,e4)) = e2 )
| ( op(e3,op(e3,e4)) != e4
& op(e4,op(e3,e4)) = e3 ) )
& ( ( op(e1,op(e1,e0)) != e0
& op(e0,op(e1,e0)) = e1 )
| ( op(e2,op(e2,e0)) != e0
& op(e0,op(e2,e0)) = e2 )
| ( op(e3,op(e3,e0)) != e0
& op(e0,op(e3,e0)) = e3 )
| ( op(e4,op(e4,e0)) != e0
& op(e0,op(e4,e0)) = e4 ) ) ),
inference(canonicalize,[],[negate_8_0]) ).
fof(normalize_8_1,plain,
op(op(e1,e3),e3) = e1,
inference(conjunct,[],[normalize_8_0]) ).
fof(normalize_8_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_8_3,plain,
op(e1,e2) != op(e1,e3),
inference(conjunct,[],[normalize_8_2]) ).
fof(normalize_8_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_8_5,plain,
( op(e1,e0) = e0
| op(e1,e1) = e0
| op(e1,e2) = e0
| op(e1,e3) = e0
| op(e1,e4) = e0 ),
inference(conjunct,[],[normalize_8_4]) ).
fof(normalize_8_6,plain,
op(e1,e4) != op(e4,e4),
inference(conjunct,[],[normalize_8_2]) ).
fof(normalize_8_7,plain,
( e0 = op(op(e2,e2),op(e2,e2))
& e1 = op(op(e2,op(e2,e2)),op(e2,e2))
& e3 = op(e2,op(e2,e2))
& e4 = op(e2,e2) ),
inference(canonicalize,[],[ax6]) ).
fof(normalize_8_8,plain,
e0 = op(op(e2,e2),op(e2,e2)),
inference(conjunct,[],[normalize_8_7]) ).
fof(normalize_8_9,plain,
e4 = op(e2,e2),
inference(conjunct,[],[normalize_8_7]) ).
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(unit,e3) = e3,
inference(conjunct,[],[normalize_8_10]) ).
fof(normalize_8_12,plain,
op(unit,e4) = e4,
inference(conjunct,[],[normalize_8_10]) ).
fof(normalize_8_13,plain,
( unit = e0
| unit = e1
| unit = e2
| unit = e3
| unit = e4 ),
inference(conjunct,[],[normalize_8_10]) ).
fof(normalize_8_14,plain,
e3 = op(e2,op(e2,e2)),
inference(conjunct,[],[normalize_8_7]) ).
fof(normalize_8_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_8_16,plain,
e3 != e4,
inference(conjunct,[],[normalize_8_15]) ).
fof(normalize_8_17,plain,
e1 = op(op(e2,op(e2,e2)),op(e2,e2)),
inference(conjunct,[],[normalize_8_7]) ).
fof(normalize_8_18,plain,
e1 != e4,
inference(conjunct,[],[normalize_8_15]) ).
fof(normalize_8_19,plain,
e0 != e4,
inference(conjunct,[],[normalize_8_15]) ).
fof(normalize_8_20,plain,
op(e3,e3) != op(e3,e4),
inference(conjunct,[],[normalize_8_2]) ).
fof(normalize_8_21,plain,
op(e1,unit) = e1,
inference(conjunct,[],[normalize_8_10]) ).
fof(normalize_8_22,plain,
e0 != e1,
inference(conjunct,[],[normalize_8_15]) ).
fof(normalize_8_23,plain,
e1 != e3,
inference(conjunct,[],[normalize_8_15]) ).
fof(normalize_8_24,plain,
op(e1,e1) != op(e2,e1),
inference(conjunct,[],[normalize_8_2]) ).
fof(normalize_8_25,plain,
op(e0,e1) != op(e2,e1),
inference(conjunct,[],[normalize_8_2]) ).
fof(normalize_8_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_8_27,plain,
( op(e2,e1) = e0
| op(e2,e1) = e1
| op(e2,e1) = e2
| op(e2,e1) = e3
| op(e2,e1) = e4 ),
inference(conjunct,[],[normalize_8_26]) ).
fof(normalize_8_28,plain,
op(e2,e1) != op(e2,e2),
inference(conjunct,[],[normalize_8_2]) ).
fof(normalize_8_29,plain,
op(e2,e1) != op(e2,e4),
inference(conjunct,[],[normalize_8_2]) ).
fof(normalize_8_30,plain,
op(unit,e1) = e1,
inference(conjunct,[],[normalize_8_10]) ).
fof(normalize_8_31,plain,
op(e2,e0) != op(e2,e1),
inference(conjunct,[],[normalize_8_2]) ).
fof(normalize_8_32,plain,
op(e2,unit) = e2,
inference(conjunct,[],[normalize_8_10]) ).
fof(normalize_8_33,plain,
( op(e1,e3) = e0
| op(e1,e3) = e1
| op(e1,e3) = e2
| op(e1,e3) = e3
| op(e1,e3) = e4 ),
inference(conjunct,[],[normalize_8_26]) ).
fof(normalize_8_34,plain,
op(e1,e0) != op(e1,e3),
inference(conjunct,[],[normalize_8_2]) ).
fof(normalize_8_35,plain,
op(e1,e3) != op(e1,e4),
inference(conjunct,[],[normalize_8_2]) ).
fof(normalize_8_36,plain,
op(e0,e4) != op(e1,e4),
inference(conjunct,[],[normalize_8_2]) ).
fof(normalize_8_37,plain,
( op(e1,e4) = e0
| op(e1,e4) = e1
| op(e1,e4) = e2
| op(e1,e4) = e3
| op(e1,e4) = e4 ),
inference(conjunct,[],[normalize_8_26]) ).
fof(normalize_8_38,plain,
op(e1,e4) != op(e3,e4),
inference(conjunct,[],[normalize_8_2]) ).
fof(normalize_8_39,plain,
op(e1,e4) != op(e2,e4),
inference(conjunct,[],[normalize_8_2]) ).
fof(normalize_8_40,plain,
op(e4,e2) != op(e4,e3),
inference(conjunct,[],[normalize_8_2]) ).
fof(normalize_8_41,plain,
( op(e0,e2) = e1
| op(e1,e2) = e1
| op(e2,e2) = e1
| op(e3,e2) = e1
| op(e4,e2) = e1 ),
inference(conjunct,[],[normalize_8_4]) ).
fof(normalize_8_42,plain,
op(e3,e2) != op(e3,e4),
inference(conjunct,[],[normalize_8_2]) ).
fof(normalize_8_43,plain,
op(unit,e2) = e2,
inference(conjunct,[],[normalize_8_10]) ).
fof(normalize_8_44,plain,
e1 != e2,
inference(conjunct,[],[normalize_8_15]) ).
fof(normalize_8_45,plain,
op(e1,e0) != op(e1,e2),
inference(conjunct,[],[normalize_8_2]) ).
cnf(refute_8_0,plain,
op(op(e1,e3),e3) = e1,
inference(canonicalize,[],[normalize_8_1]) ).
cnf(refute_8_1,plain,
op(e1,e2) != op(e1,e3),
inference(canonicalize,[],[normalize_8_3]) ).
cnf(refute_8_2,plain,
( op(e1,e0) = e0
| op(e1,e1) = e0
| op(e1,e2) = e0
| op(e1,e3) = e0
| op(e1,e4) = e0 ),
inference(canonicalize,[],[normalize_8_5]) ).
cnf(refute_8_3,plain,
op(e1,e4) != op(e4,e4),
inference(canonicalize,[],[normalize_8_6]) ).
cnf(refute_8_4,plain,
e0 = op(op(e2,e2),op(e2,e2)),
inference(canonicalize,[],[normalize_8_8]) ).
cnf(refute_8_5,plain,
e4 = op(e2,e2),
inference(canonicalize,[],[normalize_8_9]) ).
cnf(refute_8_6,plain,
X = X,
introduced(tautology,[refl,[$fot(X)]]) ).
cnf(refute_8_7,plain,
( X != X
| X != Y
| Y = X ),
introduced(tautology,[equality,[$cnf( $equal(X,X) ),[0],$fot(Y)]]) ).
cnf(refute_8_8,plain,
( X != Y
| Y = X ),
inference(resolve,[$cnf( $equal(X,X) )],[refute_8_6,refute_8_7]) ).
cnf(refute_8_9,plain,
( e4 != op(e2,e2)
| op(e2,e2) = e4 ),
inference(subst,[],[refute_8_8:[bind(X,$fot(e4)),bind(Y,$fot(op(e2,e2)))]]) ).
cnf(refute_8_10,plain,
op(e2,e2) = e4,
inference(resolve,[$cnf( $equal(e4,op(e2,e2)) )],[refute_8_5,refute_8_9]) ).
cnf(refute_8_11,plain,
op(e4,op(e2,e2)) = op(e4,op(e2,e2)),
introduced(tautology,[refl,[$fot(op(e4,op(e2,e2)))]]) ).
cnf(refute_8_12,plain,
( op(e2,e2) != e4
| op(e4,op(e2,e2)) != op(e4,op(e2,e2))
| op(e4,op(e2,e2)) = op(e4,e4) ),
introduced(tautology,[equality,[$cnf( $equal(op(e4,op(e2,e2)),op(e4,op(e2,e2))) ),[1,1],$fot(e4)]]) ).
cnf(refute_8_13,plain,
( op(e2,e2) != e4
| op(e4,op(e2,e2)) = op(e4,e4) ),
inference(resolve,[$cnf( $equal(op(e4,op(e2,e2)),op(e4,op(e2,e2))) )],[refute_8_11,refute_8_12]) ).
cnf(refute_8_14,plain,
op(e4,op(e2,e2)) = op(e4,e4),
inference(resolve,[$cnf( $equal(op(e2,e2),e4) )],[refute_8_10,refute_8_13]) ).
cnf(refute_8_15,plain,
op(op(e2,e2),op(e2,e2)) = op(op(e2,e2),op(e2,e2)),
introduced(tautology,[refl,[$fot(op(op(e2,e2),op(e2,e2)))]]) ).
cnf(refute_8_16,plain,
( op(e2,e2) != e4
| op(op(e2,e2),op(e2,e2)) != op(op(e2,e2),op(e2,e2))
| op(op(e2,e2),op(e2,e2)) = op(e4,op(e2,e2)) ),
introduced(tautology,[equality,[$cnf( $equal(op(op(e2,e2),op(e2,e2)),op(op(e2,e2),op(e2,e2))) ),[1,0],$fot(e4)]]) ).
cnf(refute_8_17,plain,
( op(e2,e2) != e4
| op(op(e2,e2),op(e2,e2)) = op(e4,op(e2,e2)) ),
inference(resolve,[$cnf( $equal(op(op(e2,e2),op(e2,e2)),op(op(e2,e2),op(e2,e2))) )],[refute_8_15,refute_8_16]) ).
cnf(refute_8_18,plain,
op(op(e2,e2),op(e2,e2)) = op(e4,op(e2,e2)),
inference(resolve,[$cnf( $equal(op(e2,e2),e4) )],[refute_8_10,refute_8_17]) ).
cnf(refute_8_19,plain,
( Y != X
| Y != Z
| X = Z ),
introduced(tautology,[equality,[$cnf( $equal(Y,Z) ),[0],$fot(X)]]) ).
cnf(refute_8_20,plain,
( X != Y
| Y != Z
| X = Z ),
inference(resolve,[$cnf( $equal(Y,X) )],[refute_8_8,refute_8_19]) ).
cnf(refute_8_21,plain,
( op(e4,op(e2,e2)) != op(e4,e4)
| op(op(e2,e2),op(e2,e2)) != op(e4,op(e2,e2))
| op(op(e2,e2),op(e2,e2)) = op(e4,e4) ),
inference(subst,[],[refute_8_20:[bind(X,$fot(op(op(e2,e2),op(e2,e2)))),bind(Y,$fot(op(e4,op(e2,e2)))),bind(Z,$fot(op(e4,e4)))]]) ).
cnf(refute_8_22,plain,
( op(e4,op(e2,e2)) != op(e4,e4)
| op(op(e2,e2),op(e2,e2)) = op(e4,e4) ),
inference(resolve,[$cnf( $equal(op(op(e2,e2),op(e2,e2)),op(e4,op(e2,e2))) )],[refute_8_18,refute_8_21]) ).
cnf(refute_8_23,plain,
op(op(e2,e2),op(e2,e2)) = op(e4,e4),
inference(resolve,[$cnf( $equal(op(e4,op(e2,e2)),op(e4,e4)) )],[refute_8_14,refute_8_22]) ).
cnf(refute_8_24,plain,
( e0 != op(op(e2,e2),op(e2,e2))
| op(op(e2,e2),op(e2,e2)) != op(e4,e4)
| e0 = op(e4,e4) ),
introduced(tautology,[equality,[$cnf( ~ $equal(e0,op(e4,e4)) ),[0],$fot(op(op(e2,e2),op(e2,e2)))]]) ).
cnf(refute_8_25,plain,
( e0 != op(op(e2,e2),op(e2,e2))
| e0 = op(e4,e4) ),
inference(resolve,[$cnf( $equal(op(op(e2,e2),op(e2,e2)),op(e4,e4)) )],[refute_8_23,refute_8_24]) ).
cnf(refute_8_26,plain,
e0 = op(e4,e4),
inference(resolve,[$cnf( $equal(e0,op(op(e2,e2),op(e2,e2))) )],[refute_8_4,refute_8_25]) ).
cnf(refute_8_27,plain,
( e0 != op(e4,e4)
| op(e4,e4) = e0 ),
inference(subst,[],[refute_8_8:[bind(X,$fot(e0)),bind(Y,$fot(op(e4,e4)))]]) ).
cnf(refute_8_28,plain,
op(e4,e4) = e0,
inference(resolve,[$cnf( $equal(e0,op(e4,e4)) )],[refute_8_26,refute_8_27]) ).
cnf(refute_8_29,plain,
( op(e1,e4) != e0
| op(e4,e4) != e0
| op(e1,e4) = op(e4,e4) ),
introduced(tautology,[equality,[$cnf( ~ $equal(op(e1,e4),op(e4,e4)) ),[1],$fot(e0)]]) ).
cnf(refute_8_30,plain,
( op(e1,e4) != e0
| op(e1,e4) = op(e4,e4) ),
inference(resolve,[$cnf( $equal(op(e4,e4),e0) )],[refute_8_28,refute_8_29]) ).
cnf(refute_8_31,plain,
op(e1,e4) != e0,
inference(resolve,[$cnf( $equal(op(e1,e4),op(e4,e4)) )],[refute_8_30,refute_8_3]) ).
cnf(refute_8_32,plain,
( op(e1,e0) = e0
| op(e1,e1) = e0
| op(e1,e2) = e0
| op(e1,e3) = e0 ),
inference(resolve,[$cnf( $equal(op(e1,e4),e0) )],[refute_8_2,refute_8_31]) ).
cnf(refute_8_33,plain,
( op(e1,e3) != e0
| op(op(e1,e3),e3) != e1
| op(e0,e3) = e1 ),
introduced(tautology,[equality,[$cnf( $equal(op(op(e1,e3),e3),e1) ),[0,0],$fot(e0)]]) ).
cnf(refute_8_34,plain,
( op(op(e1,e3),e3) != e1
| op(e0,e3) = e1
| op(e1,e0) = e0
| op(e1,e1) = e0
| op(e1,e2) = e0 ),
inference(resolve,[$cnf( $equal(op(e1,e3),e0) )],[refute_8_32,refute_8_33]) ).
cnf(refute_8_35,plain,
( op(e0,e3) = e1
| op(e1,e0) = e0
| op(e1,e1) = e0
| op(e1,e2) = e0 ),
inference(resolve,[$cnf( $equal(op(op(e1,e3),e3),e1) )],[refute_8_0,refute_8_34]) ).
cnf(refute_8_36,plain,
op(unit,e3) = e3,
inference(canonicalize,[],[normalize_8_11]) ).
cnf(refute_8_37,plain,
op(unit,e4) = e4,
inference(canonicalize,[],[normalize_8_12]) ).
cnf(refute_8_38,plain,
( unit = e0
| unit = e1
| unit = e2
| unit = e3
| unit = e4 ),
inference(canonicalize,[],[normalize_8_13]) ).
cnf(refute_8_39,plain,
( op(unit,e4) != e4
| unit != e2
| op(e2,e4) = e4 ),
introduced(tautology,[equality,[$cnf( $equal(op(unit,e4),e4) ),[0,0],$fot(e2)]]) ).
cnf(refute_8_40,plain,
( op(unit,e4) != e4
| op(e2,e4) = e4
| unit = e0
| unit = e1
| unit = e3
| unit = e4 ),
inference(resolve,[$cnf( $equal(unit,e2) )],[refute_8_38,refute_8_39]) ).
cnf(refute_8_41,plain,
( op(e2,e4) = e4
| unit = e0
| unit = e1
| unit = e3
| unit = e4 ),
inference(resolve,[$cnf( $equal(op(unit,e4),e4) )],[refute_8_37,refute_8_40]) ).
cnf(refute_8_42,plain,
e3 = op(e2,op(e2,e2)),
inference(canonicalize,[],[normalize_8_14]) ).
cnf(refute_8_43,plain,
op(e2,op(e2,e2)) = op(e2,op(e2,e2)),
introduced(tautology,[refl,[$fot(op(e2,op(e2,e2)))]]) ).
cnf(refute_8_44,plain,
( op(e2,e2) != e4
| op(e2,op(e2,e2)) != op(e2,op(e2,e2))
| op(e2,op(e2,e2)) = op(e2,e4) ),
introduced(tautology,[equality,[$cnf( $equal(op(e2,op(e2,e2)),op(e2,op(e2,e2))) ),[1,1],$fot(e4)]]) ).
cnf(refute_8_45,plain,
( op(e2,e2) != e4
| op(e2,op(e2,e2)) = op(e2,e4) ),
inference(resolve,[$cnf( $equal(op(e2,op(e2,e2)),op(e2,op(e2,e2))) )],[refute_8_43,refute_8_44]) ).
cnf(refute_8_46,plain,
op(e2,op(e2,e2)) = op(e2,e4),
inference(resolve,[$cnf( $equal(op(e2,e2),e4) )],[refute_8_10,refute_8_45]) ).
cnf(refute_8_47,plain,
( e3 != op(e2,op(e2,e2))
| op(e2,op(e2,e2)) != op(e2,e4)
| e3 = op(e2,e4) ),
introduced(tautology,[equality,[$cnf( ~ $equal(e3,op(e2,e4)) ),[0],$fot(op(e2,op(e2,e2)))]]) ).
cnf(refute_8_48,plain,
( e3 != op(e2,op(e2,e2))
| e3 = op(e2,e4) ),
inference(resolve,[$cnf( $equal(op(e2,op(e2,e2)),op(e2,e4)) )],[refute_8_46,refute_8_47]) ).
cnf(refute_8_49,plain,
e3 = op(e2,e4),
inference(resolve,[$cnf( $equal(e3,op(e2,op(e2,e2))) )],[refute_8_42,refute_8_48]) ).
cnf(refute_8_50,plain,
( e3 != op(e2,e4)
| op(e2,e4) = e3 ),
inference(subst,[],[refute_8_8:[bind(X,$fot(e3)),bind(Y,$fot(op(e2,e4)))]]) ).
cnf(refute_8_51,plain,
op(e2,e4) = e3,
inference(resolve,[$cnf( $equal(e3,op(e2,e4)) )],[refute_8_49,refute_8_50]) ).
cnf(refute_8_52,plain,
( op(e2,e4) != e3
| op(e2,e4) != e4
| e3 = e4 ),
introduced(tautology,[equality,[$cnf( $equal(op(e2,e4),e4) ),[0],$fot(e3)]]) ).
cnf(refute_8_53,plain,
( op(e2,e4) != e4
| e3 = e4 ),
inference(resolve,[$cnf( $equal(op(e2,e4),e3) )],[refute_8_51,refute_8_52]) ).
cnf(refute_8_54,plain,
( e3 = e4
| unit = e0
| unit = e1
| unit = e3
| unit = e4 ),
inference(resolve,[$cnf( $equal(op(e2,e4),e4) )],[refute_8_41,refute_8_53]) ).
cnf(refute_8_55,plain,
e3 != e4,
inference(canonicalize,[],[normalize_8_16]) ).
cnf(refute_8_56,plain,
( unit = e0
| unit = e1
| unit = e3
| unit = e4 ),
inference(resolve,[$cnf( $equal(e3,e4) )],[refute_8_54,refute_8_55]) ).
cnf(refute_8_57,plain,
( op(unit,e4) != e4
| unit != e3
| op(e3,e4) = e4 ),
introduced(tautology,[equality,[$cnf( $equal(op(unit,e4),e4) ),[0,0],$fot(e3)]]) ).
cnf(refute_8_58,plain,
( op(unit,e4) != e4
| op(e3,e4) = e4
| unit = e0
| unit = e1
| unit = e4 ),
inference(resolve,[$cnf( $equal(unit,e3) )],[refute_8_56,refute_8_57]) ).
cnf(refute_8_59,plain,
( op(e3,e4) = e4
| unit = e0
| unit = e1
| unit = e4 ),
inference(resolve,[$cnf( $equal(op(unit,e4),e4) )],[refute_8_37,refute_8_58]) ).
cnf(refute_8_60,plain,
e1 = op(op(e2,op(e2,e2)),op(e2,e2)),
inference(canonicalize,[],[normalize_8_17]) ).
cnf(refute_8_61,plain,
op(e3,op(e2,e2)) = op(e3,op(e2,e2)),
introduced(tautology,[refl,[$fot(op(e3,op(e2,e2)))]]) ).
cnf(refute_8_62,plain,
( op(e2,e2) != e4
| op(e3,op(e2,e2)) != op(e3,op(e2,e2))
| op(e3,op(e2,e2)) = op(e3,e4) ),
introduced(tautology,[equality,[$cnf( $equal(op(e3,op(e2,e2)),op(e3,op(e2,e2))) ),[1,1],$fot(e4)]]) ).
cnf(refute_8_63,plain,
( op(e2,e2) != e4
| op(e3,op(e2,e2)) = op(e3,e4) ),
inference(resolve,[$cnf( $equal(op(e3,op(e2,e2)),op(e3,op(e2,e2))) )],[refute_8_61,refute_8_62]) ).
cnf(refute_8_64,plain,
op(e3,op(e2,e2)) = op(e3,e4),
inference(resolve,[$cnf( $equal(op(e2,e2),e4) )],[refute_8_10,refute_8_63]) ).
cnf(refute_8_65,plain,
( e3 != op(e2,op(e2,e2))
| op(e2,op(e2,e2)) = e3 ),
inference(subst,[],[refute_8_8:[bind(X,$fot(e3)),bind(Y,$fot(op(e2,op(e2,e2))))]]) ).
cnf(refute_8_66,plain,
op(e2,op(e2,e2)) = e3,
inference(resolve,[$cnf( $equal(e3,op(e2,op(e2,e2))) )],[refute_8_42,refute_8_65]) ).
cnf(refute_8_67,plain,
op(op(e2,op(e2,e2)),op(e2,e2)) = op(op(e2,op(e2,e2)),op(e2,e2)),
introduced(tautology,[refl,[$fot(op(op(e2,op(e2,e2)),op(e2,e2)))]]) ).
cnf(refute_8_68,plain,
( op(e2,op(e2,e2)) != e3
| op(op(e2,op(e2,e2)),op(e2,e2)) != op(op(e2,op(e2,e2)),op(e2,e2))
| op(op(e2,op(e2,e2)),op(e2,e2)) = op(e3,op(e2,e2)) ),
introduced(tautology,[equality,[$cnf( $equal(op(op(e2,op(e2,e2)),op(e2,e2)),op(op(e2,op(e2,e2)),op(e2,e2))) ),[1,0],$fot(e3)]]) ).
cnf(refute_8_69,plain,
( op(e2,op(e2,e2)) != e3
| op(op(e2,op(e2,e2)),op(e2,e2)) = op(e3,op(e2,e2)) ),
inference(resolve,[$cnf( $equal(op(op(e2,op(e2,e2)),op(e2,e2)),op(op(e2,op(e2,e2)),op(e2,e2))) )],[refute_8_67,refute_8_68]) ).
cnf(refute_8_70,plain,
op(op(e2,op(e2,e2)),op(e2,e2)) = op(e3,op(e2,e2)),
inference(resolve,[$cnf( $equal(op(e2,op(e2,e2)),e3) )],[refute_8_66,refute_8_69]) ).
cnf(refute_8_71,plain,
( op(e3,op(e2,e2)) != op(e3,e4)
| op(op(e2,op(e2,e2)),op(e2,e2)) != op(e3,op(e2,e2))
| op(op(e2,op(e2,e2)),op(e2,e2)) = op(e3,e4) ),
inference(subst,[],[refute_8_20:[bind(X,$fot(op(op(e2,op(e2,e2)),op(e2,e2)))),bind(Y,$fot(op(e3,op(e2,e2)))),bind(Z,$fot(op(e3,e4)))]]) ).
cnf(refute_8_72,plain,
( op(e3,op(e2,e2)) != op(e3,e4)
| op(op(e2,op(e2,e2)),op(e2,e2)) = op(e3,e4) ),
inference(resolve,[$cnf( $equal(op(op(e2,op(e2,e2)),op(e2,e2)),op(e3,op(e2,e2))) )],[refute_8_70,refute_8_71]) ).
cnf(refute_8_73,plain,
op(op(e2,op(e2,e2)),op(e2,e2)) = op(e3,e4),
inference(resolve,[$cnf( $equal(op(e3,op(e2,e2)),op(e3,e4)) )],[refute_8_64,refute_8_72]) ).
cnf(refute_8_74,plain,
( e1 != op(op(e2,op(e2,e2)),op(e2,e2))
| op(op(e2,op(e2,e2)),op(e2,e2)) != op(e3,e4)
| e1 = op(e3,e4) ),
introduced(tautology,[equality,[$cnf( ~ $equal(e1,op(e3,e4)) ),[0],$fot(op(op(e2,op(e2,e2)),op(e2,e2)))]]) ).
cnf(refute_8_75,plain,
( e1 != op(op(e2,op(e2,e2)),op(e2,e2))
| e1 = op(e3,e4) ),
inference(resolve,[$cnf( $equal(op(op(e2,op(e2,e2)),op(e2,e2)),op(e3,e4)) )],[refute_8_73,refute_8_74]) ).
cnf(refute_8_76,plain,
e1 = op(e3,e4),
inference(resolve,[$cnf( $equal(e1,op(op(e2,op(e2,e2)),op(e2,e2))) )],[refute_8_60,refute_8_75]) ).
cnf(refute_8_77,plain,
( e1 != op(e3,e4)
| op(e3,e4) = e1 ),
inference(subst,[],[refute_8_8:[bind(X,$fot(e1)),bind(Y,$fot(op(e3,e4)))]]) ).
cnf(refute_8_78,plain,
op(e3,e4) = e1,
inference(resolve,[$cnf( $equal(e1,op(e3,e4)) )],[refute_8_76,refute_8_77]) ).
cnf(refute_8_79,plain,
( op(e3,e4) != e1
| op(e3,e4) != e4
| e1 = e4 ),
introduced(tautology,[equality,[$cnf( $equal(op(e3,e4),e4) ),[0],$fot(e1)]]) ).
cnf(refute_8_80,plain,
( op(e3,e4) != e4
| e1 = e4 ),
inference(resolve,[$cnf( $equal(op(e3,e4),e1) )],[refute_8_78,refute_8_79]) ).
cnf(refute_8_81,plain,
( e1 = e4
| unit = e0
| unit = e1
| unit = e4 ),
inference(resolve,[$cnf( $equal(op(e3,e4),e4) )],[refute_8_59,refute_8_80]) ).
cnf(refute_8_82,plain,
e1 != e4,
inference(canonicalize,[],[normalize_8_18]) ).
cnf(refute_8_83,plain,
( unit = e0
| unit = e1
| unit = e4 ),
inference(resolve,[$cnf( $equal(e1,e4) )],[refute_8_81,refute_8_82]) ).
cnf(refute_8_84,plain,
( op(unit,e4) != e4
| unit != e4
| op(e4,e4) = e4 ),
introduced(tautology,[equality,[$cnf( $equal(op(unit,e4),e4) ),[0,0],$fot(e4)]]) ).
cnf(refute_8_85,plain,
( op(unit,e4) != e4
| op(e4,e4) = e4
| unit = e0
| unit = e1 ),
inference(resolve,[$cnf( $equal(unit,e4) )],[refute_8_83,refute_8_84]) ).
cnf(refute_8_86,plain,
( op(e4,e4) = e4
| unit = e0
| unit = e1 ),
inference(resolve,[$cnf( $equal(op(unit,e4),e4) )],[refute_8_37,refute_8_85]) ).
cnf(refute_8_87,plain,
( op(e4,e4) != e0
| op(e4,e4) != e4
| e0 = e4 ),
introduced(tautology,[equality,[$cnf( $equal(op(e4,e4),e4) ),[0],$fot(e0)]]) ).
cnf(refute_8_88,plain,
( op(e4,e4) != e4
| e0 = e4 ),
inference(resolve,[$cnf( $equal(op(e4,e4),e0) )],[refute_8_28,refute_8_87]) ).
cnf(refute_8_89,plain,
( e0 = e4
| unit = e0
| unit = e1 ),
inference(resolve,[$cnf( $equal(op(e4,e4),e4) )],[refute_8_86,refute_8_88]) ).
cnf(refute_8_90,plain,
e0 != e4,
inference(canonicalize,[],[normalize_8_19]) ).
cnf(refute_8_91,plain,
( unit = e0
| unit = e1 ),
inference(resolve,[$cnf( $equal(e0,e4) )],[refute_8_89,refute_8_90]) ).
cnf(refute_8_92,plain,
( op(unit,e3) != e3
| unit != e1
| op(e1,e3) = e3 ),
introduced(tautology,[equality,[$cnf( $equal(op(unit,e3),e3) ),[0,0],$fot(e1)]]) ).
cnf(refute_8_93,plain,
( op(unit,e3) != e3
| op(e1,e3) = e3
| unit = e0 ),
inference(resolve,[$cnf( $equal(unit,e1) )],[refute_8_91,refute_8_92]) ).
cnf(refute_8_94,plain,
( op(e1,e3) = e3
| unit = e0 ),
inference(resolve,[$cnf( $equal(op(unit,e3),e3) )],[refute_8_36,refute_8_93]) ).
cnf(refute_8_95,plain,
( op(e1,e3) != e3
| op(op(e1,e3),e3) != e1
| op(e3,e3) = e1 ),
introduced(tautology,[equality,[$cnf( $equal(op(op(e1,e3),e3),e1) ),[0,0],$fot(e3)]]) ).
cnf(refute_8_96,plain,
( op(op(e1,e3),e3) != e1
| op(e3,e3) = e1
| unit = e0 ),
inference(resolve,[$cnf( $equal(op(e1,e3),e3) )],[refute_8_94,refute_8_95]) ).
cnf(refute_8_97,plain,
( op(e3,e3) = e1
| unit = e0 ),
inference(resolve,[$cnf( $equal(op(op(e1,e3),e3),e1) )],[refute_8_0,refute_8_96]) ).
cnf(refute_8_98,plain,
op(e3,e3) != op(e3,e4),
inference(canonicalize,[],[normalize_8_20]) ).
cnf(refute_8_99,plain,
( op(e3,e3) != e1
| op(e3,e4) != e1
| op(e3,e3) = op(e3,e4) ),
introduced(tautology,[equality,[$cnf( ~ $equal(op(e3,e3),op(e3,e4)) ),[1],$fot(e1)]]) ).
cnf(refute_8_100,plain,
( op(e3,e3) != e1
| op(e3,e3) = op(e3,e4) ),
inference(resolve,[$cnf( $equal(op(e3,e4),e1) )],[refute_8_78,refute_8_99]) ).
cnf(refute_8_101,plain,
op(e3,e3) != e1,
inference(resolve,[$cnf( $equal(op(e3,e3),op(e3,e4)) )],[refute_8_100,refute_8_98]) ).
cnf(refute_8_102,plain,
unit = e0,
inference(resolve,[$cnf( $equal(op(e3,e3),e1) )],[refute_8_97,refute_8_101]) ).
cnf(refute_8_103,plain,
op(unit,e3) = op(unit,e3),
introduced(tautology,[refl,[$fot(op(unit,e3))]]) ).
cnf(refute_8_104,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_105,plain,
( unit != e0
| op(unit,e3) = op(e0,e3) ),
inference(resolve,[$cnf( $equal(op(unit,e3),op(unit,e3)) )],[refute_8_103,refute_8_104]) ).
cnf(refute_8_106,plain,
op(unit,e3) = op(e0,e3),
inference(resolve,[$cnf( $equal(unit,e0) )],[refute_8_102,refute_8_105]) ).
cnf(refute_8_107,plain,
( op(unit,e3) != e3
| op(unit,e3) != op(e0,e3)
| op(e0,e3) = e3 ),
introduced(tautology,[equality,[$cnf( $equal(op(unit,e3),e3) ),[0],$fot(op(e0,e3))]]) ).
cnf(refute_8_108,plain,
( op(unit,e3) != e3
| op(e0,e3) = e3 ),
inference(resolve,[$cnf( $equal(op(unit,e3),op(e0,e3)) )],[refute_8_106,refute_8_107]) ).
cnf(refute_8_109,plain,
op(e0,e3) = e3,
inference(resolve,[$cnf( $equal(op(unit,e3),e3) )],[refute_8_36,refute_8_108]) ).
cnf(refute_8_110,plain,
( op(e0,e3) != e1
| op(e0,e3) != e3
| e3 = e1 ),
introduced(tautology,[equality,[$cnf( $equal(op(e0,e3),e1) ),[0],$fot(e3)]]) ).
cnf(refute_8_111,plain,
( op(e0,e3) != e1
| e3 = e1 ),
inference(resolve,[$cnf( $equal(op(e0,e3),e3) )],[refute_8_109,refute_8_110]) ).
cnf(refute_8_112,plain,
( e3 = e1
| op(e1,e0) = e0
| op(e1,e1) = e0
| op(e1,e2) = e0 ),
inference(resolve,[$cnf( $equal(op(e0,e3),e1) )],[refute_8_35,refute_8_111]) ).
cnf(refute_8_113,plain,
op(e1,unit) = e1,
inference(canonicalize,[],[normalize_8_21]) ).
cnf(refute_8_114,plain,
op(e1,unit) = op(e1,unit),
introduced(tautology,[refl,[$fot(op(e1,unit))]]) ).
cnf(refute_8_115,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_116,plain,
( unit != e0
| op(e1,unit) = op(e1,e0) ),
inference(resolve,[$cnf( $equal(op(e1,unit),op(e1,unit)) )],[refute_8_114,refute_8_115]) ).
cnf(refute_8_117,plain,
op(e1,unit) = op(e1,e0),
inference(resolve,[$cnf( $equal(unit,e0) )],[refute_8_102,refute_8_116]) ).
cnf(refute_8_118,plain,
( op(e1,unit) != e1
| op(e1,unit) != op(e1,e0)
| op(e1,e0) = e1 ),
introduced(tautology,[equality,[$cnf( $equal(op(e1,unit),e1) ),[0],$fot(op(e1,e0))]]) ).
cnf(refute_8_119,plain,
( op(e1,unit) != e1
| op(e1,e0) = e1 ),
inference(resolve,[$cnf( $equal(op(e1,unit),op(e1,e0)) )],[refute_8_117,refute_8_118]) ).
cnf(refute_8_120,plain,
op(e1,e0) = e1,
inference(resolve,[$cnf( $equal(op(e1,unit),e1) )],[refute_8_113,refute_8_119]) ).
cnf(refute_8_121,plain,
( op(e1,e0) != e0
| op(e1,e0) != e1
| e1 = e0 ),
introduced(tautology,[equality,[$cnf( $equal(op(e1,e0),e0) ),[0],$fot(e1)]]) ).
cnf(refute_8_122,plain,
( op(e1,e0) != e0
| e1 = e0 ),
inference(resolve,[$cnf( $equal(op(e1,e0),e1) )],[refute_8_120,refute_8_121]) ).
cnf(refute_8_123,plain,
( e1 = e0
| e3 = e1
| op(e1,e1) = e0
| op(e1,e2) = e0 ),
inference(resolve,[$cnf( $equal(op(e1,e0),e0) )],[refute_8_112,refute_8_122]) ).
cnf(refute_8_124,plain,
e0 != e1,
inference(canonicalize,[],[normalize_8_22]) ).
cnf(refute_8_125,plain,
( e1 != e0
| e0 = e1 ),
inference(subst,[],[refute_8_8:[bind(X,$fot(e1)),bind(Y,$fot(e0))]]) ).
cnf(refute_8_126,plain,
e1 != e0,
inference(resolve,[$cnf( $equal(e0,e1) )],[refute_8_125,refute_8_124]) ).
cnf(refute_8_127,plain,
( e3 = e1
| op(e1,e1) = e0
| op(e1,e2) = e0 ),
inference(resolve,[$cnf( $equal(e1,e0) )],[refute_8_123,refute_8_126]) ).
cnf(refute_8_128,plain,
e1 != e3,
inference(canonicalize,[],[normalize_8_23]) ).
cnf(refute_8_129,plain,
( e3 != e1
| e1 = e3 ),
inference(subst,[],[refute_8_8:[bind(X,$fot(e3)),bind(Y,$fot(e1))]]) ).
cnf(refute_8_130,plain,
e3 != e1,
inference(resolve,[$cnf( $equal(e1,e3) )],[refute_8_129,refute_8_128]) ).
cnf(refute_8_131,plain,
( op(e1,e1) = e0
| op(e1,e2) = e0 ),
inference(resolve,[$cnf( $equal(e3,e1) )],[refute_8_127,refute_8_130]) ).
cnf(refute_8_132,plain,
op(e1,e1) != op(e2,e1),
inference(canonicalize,[],[normalize_8_24]) ).
cnf(refute_8_133,plain,
op(e0,e1) != op(e2,e1),
inference(canonicalize,[],[normalize_8_25]) ).
cnf(refute_8_134,plain,
( op(e2,e1) = e0
| op(e2,e1) = e1
| op(e2,e1) = e2
| op(e2,e1) = e3
| op(e2,e1) = e4 ),
inference(canonicalize,[],[normalize_8_27]) ).
cnf(refute_8_135,plain,
op(e2,e1) != op(e2,e2),
inference(canonicalize,[],[normalize_8_28]) ).
cnf(refute_8_136,plain,
( op(e2,e1) != e4
| op(e2,e2) != e4
| op(e2,e1) = op(e2,e2) ),
introduced(tautology,[equality,[$cnf( ~ $equal(op(e2,e1),op(e2,e2)) ),[1],$fot(e4)]]) ).
cnf(refute_8_137,plain,
( op(e2,e1) != e4
| op(e2,e1) = op(e2,e2) ),
inference(resolve,[$cnf( $equal(op(e2,e2),e4) )],[refute_8_10,refute_8_136]) ).
cnf(refute_8_138,plain,
op(e2,e1) != e4,
inference(resolve,[$cnf( $equal(op(e2,e1),op(e2,e2)) )],[refute_8_137,refute_8_135]) ).
cnf(refute_8_139,plain,
( op(e2,e1) = e0
| op(e2,e1) = e1
| op(e2,e1) = e2
| op(e2,e1) = e3 ),
inference(resolve,[$cnf( $equal(op(e2,e1),e4) )],[refute_8_134,refute_8_138]) ).
cnf(refute_8_140,plain,
op(e2,e1) != op(e2,e4),
inference(canonicalize,[],[normalize_8_29]) ).
cnf(refute_8_141,plain,
( op(e2,e1) != e3
| op(e2,e4) != e3
| op(e2,e1) = op(e2,e4) ),
introduced(tautology,[equality,[$cnf( ~ $equal(op(e2,e1),op(e2,e4)) ),[1],$fot(e3)]]) ).
cnf(refute_8_142,plain,
( op(e2,e1) != e3
| op(e2,e1) = op(e2,e4) ),
inference(resolve,[$cnf( $equal(op(e2,e4),e3) )],[refute_8_51,refute_8_141]) ).
cnf(refute_8_143,plain,
op(e2,e1) != e3,
inference(resolve,[$cnf( $equal(op(e2,e1),op(e2,e4)) )],[refute_8_142,refute_8_140]) ).
cnf(refute_8_144,plain,
( op(e2,e1) = e0
| op(e2,e1) = e1
| op(e2,e1) = e2 ),
inference(resolve,[$cnf( $equal(op(e2,e1),e3) )],[refute_8_139,refute_8_143]) ).
cnf(refute_8_145,plain,
( op(e0,e1) != e1
| op(e2,e1) != e1
| op(e0,e1) = op(e2,e1) ),
introduced(tautology,[equality,[$cnf( ~ $equal(op(e0,e1),op(e2,e1)) ),[1],$fot(e1)]]) ).
cnf(refute_8_146,plain,
( op(e0,e1) != e1
| op(e0,e1) = op(e2,e1)
| op(e2,e1) = e0
| op(e2,e1) = e2 ),
inference(resolve,[$cnf( $equal(op(e2,e1),e1) )],[refute_8_144,refute_8_145]) ).
cnf(refute_8_147,plain,
( op(e0,e1) != e1
| op(e2,e1) = e0
| op(e2,e1) = e2 ),
inference(resolve,[$cnf( $equal(op(e0,e1),op(e2,e1)) )],[refute_8_146,refute_8_133]) ).
cnf(refute_8_148,plain,
op(unit,e1) = e1,
inference(canonicalize,[],[normalize_8_30]) ).
cnf(refute_8_149,plain,
op(unit,e1) = op(unit,e1),
introduced(tautology,[refl,[$fot(op(unit,e1))]]) ).
cnf(refute_8_150,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_151,plain,
( unit != e0
| op(unit,e1) = op(e0,e1) ),
inference(resolve,[$cnf( $equal(op(unit,e1),op(unit,e1)) )],[refute_8_149,refute_8_150]) ).
cnf(refute_8_152,plain,
op(unit,e1) = op(e0,e1),
inference(resolve,[$cnf( $equal(unit,e0) )],[refute_8_102,refute_8_151]) ).
cnf(refute_8_153,plain,
( op(unit,e1) != e1
| op(unit,e1) != op(e0,e1)
| op(e0,e1) = e1 ),
introduced(tautology,[equality,[$cnf( $equal(op(unit,e1),e1) ),[0],$fot(op(e0,e1))]]) ).
cnf(refute_8_154,plain,
( op(unit,e1) != e1
| op(e0,e1) = e1 ),
inference(resolve,[$cnf( $equal(op(unit,e1),op(e0,e1)) )],[refute_8_152,refute_8_153]) ).
cnf(refute_8_155,plain,
op(e0,e1) = e1,
inference(resolve,[$cnf( $equal(op(unit,e1),e1) )],[refute_8_148,refute_8_154]) ).
cnf(refute_8_156,plain,
( e1 != e1
| op(e0,e1) != e1
| op(e0,e1) = e1 ),
introduced(tautology,[equality,[$cnf( $equal(op(e0,e1),e1) ),[0,1],$fot(e1)]]) ).
cnf(refute_8_157,plain,
( e1 != e1
| op(e0,e1) = e1 ),
inference(resolve,[$cnf( $equal(op(e0,e1),e1) )],[refute_8_155,refute_8_156]) ).
cnf(refute_8_158,plain,
( e1 != e1
| op(e2,e1) = e0
| op(e2,e1) = e2 ),
inference(resolve,[$cnf( $equal(op(e0,e1),e1) )],[refute_8_157,refute_8_147]) ).
cnf(refute_8_159,plain,
e1 = e1,
introduced(tautology,[refl,[$fot(e1)]]) ).
cnf(refute_8_160,plain,
( op(e2,e1) = e0
| op(e2,e1) = e2 ),
inference(resolve,[$cnf( $equal(e1,e1) )],[refute_8_159,refute_8_158]) ).
cnf(refute_8_161,plain,
op(e2,e0) != op(e2,e1),
inference(canonicalize,[],[normalize_8_31]) ).
cnf(refute_8_162,plain,
op(e2,unit) = e2,
inference(canonicalize,[],[normalize_8_32]) ).
cnf(refute_8_163,plain,
op(e2,unit) = op(e2,unit),
introduced(tautology,[refl,[$fot(op(e2,unit))]]) ).
cnf(refute_8_164,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_165,plain,
( unit != e0
| op(e2,unit) = op(e2,e0) ),
inference(resolve,[$cnf( $equal(op(e2,unit),op(e2,unit)) )],[refute_8_163,refute_8_164]) ).
cnf(refute_8_166,plain,
op(e2,unit) = op(e2,e0),
inference(resolve,[$cnf( $equal(unit,e0) )],[refute_8_102,refute_8_165]) ).
cnf(refute_8_167,plain,
( op(e2,unit) != e2
| op(e2,unit) != op(e2,e0)
| op(e2,e0) = e2 ),
introduced(tautology,[equality,[$cnf( $equal(op(e2,unit),e2) ),[0],$fot(op(e2,e0))]]) ).
cnf(refute_8_168,plain,
( op(e2,unit) != e2
| op(e2,e0) = e2 ),
inference(resolve,[$cnf( $equal(op(e2,unit),op(e2,e0)) )],[refute_8_166,refute_8_167]) ).
cnf(refute_8_169,plain,
op(e2,e0) = e2,
inference(resolve,[$cnf( $equal(op(e2,unit),e2) )],[refute_8_162,refute_8_168]) ).
cnf(refute_8_170,plain,
( e2 != op(e2,e1)
| op(e2,e0) != e2
| op(e2,e0) = op(e2,e1) ),
introduced(tautology,[equality,[$cnf( $equal(op(e2,e0),e2) ),[1],$fot(op(e2,e1))]]) ).
cnf(refute_8_171,plain,
( e2 != op(e2,e1)
| op(e2,e0) = op(e2,e1) ),
inference(resolve,[$cnf( $equal(op(e2,e0),e2) )],[refute_8_169,refute_8_170]) ).
cnf(refute_8_172,plain,
e2 != op(e2,e1),
inference(resolve,[$cnf( $equal(op(e2,e0),op(e2,e1)) )],[refute_8_171,refute_8_161]) ).
cnf(refute_8_173,plain,
( op(e2,e1) != e2
| e2 = op(e2,e1) ),
inference(subst,[],[refute_8_8:[bind(X,$fot(op(e2,e1))),bind(Y,$fot(e2))]]) ).
cnf(refute_8_174,plain,
op(e2,e1) != e2,
inference(resolve,[$cnf( $equal(e2,op(e2,e1)) )],[refute_8_173,refute_8_172]) ).
cnf(refute_8_175,plain,
op(e2,e1) = e0,
inference(resolve,[$cnf( $equal(op(e2,e1),e2) )],[refute_8_160,refute_8_174]) ).
cnf(refute_8_176,plain,
( op(e1,e1) != e0
| op(e2,e1) != e0
| op(e1,e1) = op(e2,e1) ),
introduced(tautology,[equality,[$cnf( ~ $equal(op(e1,e1),op(e2,e1)) ),[1],$fot(e0)]]) ).
cnf(refute_8_177,plain,
( op(e1,e1) != e0
| op(e1,e1) = op(e2,e1) ),
inference(resolve,[$cnf( $equal(op(e2,e1),e0) )],[refute_8_175,refute_8_176]) ).
cnf(refute_8_178,plain,
op(e1,e1) != e0,
inference(resolve,[$cnf( $equal(op(e1,e1),op(e2,e1)) )],[refute_8_177,refute_8_132]) ).
cnf(refute_8_179,plain,
op(e1,e2) = e0,
inference(resolve,[$cnf( $equal(op(e1,e1),e0) )],[refute_8_131,refute_8_178]) ).
cnf(refute_8_180,plain,
( e0 != op(e1,e3)
| op(e1,e2) != e0
| op(e1,e2) = op(e1,e3) ),
introduced(tautology,[equality,[$cnf( $equal(op(e1,e2),e0) ),[1],$fot(op(e1,e3))]]) ).
cnf(refute_8_181,plain,
( e0 != op(e1,e3)
| op(e1,e2) = op(e1,e3) ),
inference(resolve,[$cnf( $equal(op(e1,e2),e0) )],[refute_8_179,refute_8_180]) ).
cnf(refute_8_182,plain,
e0 != op(e1,e3),
inference(resolve,[$cnf( $equal(op(e1,e2),op(e1,e3)) )],[refute_8_181,refute_8_1]) ).
cnf(refute_8_183,plain,
( op(e1,e3) = e0
| op(e1,e3) = e1
| op(e1,e3) = e2
| op(e1,e3) = e3
| op(e1,e3) = e4 ),
inference(canonicalize,[],[normalize_8_33]) ).
cnf(refute_8_184,plain,
( op(op(e1,e3),e3) != e1
| op(e1,e3) = e0
| op(e1,e3) = e1
| op(e1,e3) = e2
| op(e1,e3) = e4
| op(e3,e3) = e1 ),
inference(resolve,[$cnf( $equal(op(e1,e3),e3) )],[refute_8_183,refute_8_95]) ).
cnf(refute_8_185,plain,
( op(e1,e3) = e0
| op(e1,e3) = e1
| op(e1,e3) = e2
| op(e1,e3) = e4
| op(e3,e3) = e1 ),
inference(resolve,[$cnf( $equal(op(op(e1,e3),e3),e1) )],[refute_8_0,refute_8_184]) ).
cnf(refute_8_186,plain,
( op(e1,e3) = e0
| op(e1,e3) = e1
| op(e1,e3) = e2
| op(e1,e3) = e4 ),
inference(resolve,[$cnf( $equal(op(e3,e3),e1) )],[refute_8_185,refute_8_101]) ).
cnf(refute_8_187,plain,
( e0 != e0
| op(e1,e3) != e0
| e0 = op(e1,e3) ),
introduced(tautology,[equality,[$cnf( ~ $equal(e0,op(e1,e3)) ),[1],$fot(e0)]]) ).
cnf(refute_8_188,plain,
( e0 != e0
| e0 = op(e1,e3)
| op(e1,e3) = e1
| op(e1,e3) = e2
| op(e1,e3) = e4 ),
inference(resolve,[$cnf( $equal(op(e1,e3),e0) )],[refute_8_186,refute_8_187]) ).
cnf(refute_8_189,plain,
( e0 != e0
| op(e1,e3) = e1
| op(e1,e3) = e2
| op(e1,e3) = e4 ),
inference(resolve,[$cnf( $equal(e0,op(e1,e3)) )],[refute_8_188,refute_8_182]) ).
cnf(refute_8_190,plain,
e0 = e0,
introduced(tautology,[refl,[$fot(e0)]]) ).
cnf(refute_8_191,plain,
( op(e1,e3) = e1
| op(e1,e3) = e2
| op(e1,e3) = e4 ),
inference(resolve,[$cnf( $equal(e0,e0) )],[refute_8_190,refute_8_189]) ).
cnf(refute_8_192,plain,
op(e1,e0) != op(e1,e3),
inference(canonicalize,[],[normalize_8_34]) ).
cnf(refute_8_193,plain,
( e1 != op(e1,e3)
| op(e1,e0) != e1
| op(e1,e0) = op(e1,e3) ),
introduced(tautology,[equality,[$cnf( $equal(op(e1,e0),e1) ),[1],$fot(op(e1,e3))]]) ).
cnf(refute_8_194,plain,
( e1 != op(e1,e3)
| op(e1,e0) = op(e1,e3) ),
inference(resolve,[$cnf( $equal(op(e1,e0),e1) )],[refute_8_120,refute_8_193]) ).
cnf(refute_8_195,plain,
e1 != op(e1,e3),
inference(resolve,[$cnf( $equal(op(e1,e0),op(e1,e3)) )],[refute_8_194,refute_8_192]) ).
cnf(refute_8_196,plain,
( op(e1,e3) != e1
| e1 = op(e1,e3) ),
inference(subst,[],[refute_8_8:[bind(X,$fot(op(e1,e3))),bind(Y,$fot(e1))]]) ).
cnf(refute_8_197,plain,
op(e1,e3) != e1,
inference(resolve,[$cnf( $equal(e1,op(e1,e3)) )],[refute_8_196,refute_8_195]) ).
cnf(refute_8_198,plain,
( op(e1,e3) = e2
| op(e1,e3) = e4 ),
inference(resolve,[$cnf( $equal(op(e1,e3),e1) )],[refute_8_191,refute_8_197]) ).
cnf(refute_8_199,plain,
op(e1,e3) != op(e1,e4),
inference(canonicalize,[],[normalize_8_35]) ).
cnf(refute_8_200,plain,
op(e0,e4) != op(e1,e4),
inference(canonicalize,[],[normalize_8_36]) ).
cnf(refute_8_201,plain,
( op(e1,e4) = e0
| op(e1,e4) = e1
| op(e1,e4) = e2
| op(e1,e4) = e3
| op(e1,e4) = e4 ),
inference(canonicalize,[],[normalize_8_37]) ).
cnf(refute_8_202,plain,
( op(e1,e4) = e1
| op(e1,e4) = e2
| op(e1,e4) = e3
| op(e1,e4) = e4 ),
inference(resolve,[$cnf( $equal(op(e1,e4),e0) )],[refute_8_201,refute_8_31]) ).
cnf(refute_8_203,plain,
op(e1,e4) != op(e3,e4),
inference(canonicalize,[],[normalize_8_38]) ).
cnf(refute_8_204,plain,
( op(e1,e4) != e1
| op(e3,e4) != e1
| op(e1,e4) = op(e3,e4) ),
introduced(tautology,[equality,[$cnf( ~ $equal(op(e1,e4),op(e3,e4)) ),[1],$fot(e1)]]) ).
cnf(refute_8_205,plain,
( op(e1,e4) != e1
| op(e1,e4) = op(e3,e4) ),
inference(resolve,[$cnf( $equal(op(e3,e4),e1) )],[refute_8_78,refute_8_204]) ).
cnf(refute_8_206,plain,
op(e1,e4) != e1,
inference(resolve,[$cnf( $equal(op(e1,e4),op(e3,e4)) )],[refute_8_205,refute_8_203]) ).
cnf(refute_8_207,plain,
( op(e1,e4) = e2
| op(e1,e4) = e3
| op(e1,e4) = e4 ),
inference(resolve,[$cnf( $equal(op(e1,e4),e1) )],[refute_8_202,refute_8_206]) ).
cnf(refute_8_208,plain,
op(e1,e4) != op(e2,e4),
inference(canonicalize,[],[normalize_8_39]) ).
cnf(refute_8_209,plain,
( op(e1,e4) != e3
| op(e2,e4) != e3
| op(e1,e4) = op(e2,e4) ),
introduced(tautology,[equality,[$cnf( ~ $equal(op(e1,e4),op(e2,e4)) ),[1],$fot(e3)]]) ).
cnf(refute_8_210,plain,
( op(e1,e4) != e3
| op(e1,e4) = op(e2,e4) ),
inference(resolve,[$cnf( $equal(op(e2,e4),e3) )],[refute_8_51,refute_8_209]) ).
cnf(refute_8_211,plain,
op(e1,e4) != e3,
inference(resolve,[$cnf( $equal(op(e1,e4),op(e2,e4)) )],[refute_8_210,refute_8_208]) ).
cnf(refute_8_212,plain,
( op(e1,e4) = e2
| op(e1,e4) = e4 ),
inference(resolve,[$cnf( $equal(op(e1,e4),e3) )],[refute_8_207,refute_8_211]) ).
cnf(refute_8_213,plain,
( op(e0,e4) != e4
| op(e1,e4) != e4
| op(e0,e4) = op(e1,e4) ),
introduced(tautology,[equality,[$cnf( ~ $equal(op(e0,e4),op(e1,e4)) ),[1],$fot(e4)]]) ).
cnf(refute_8_214,plain,
( op(e0,e4) != e4
| op(e0,e4) = op(e1,e4)
| op(e1,e4) = e2 ),
inference(resolve,[$cnf( $equal(op(e1,e4),e4) )],[refute_8_212,refute_8_213]) ).
cnf(refute_8_215,plain,
( op(e0,e4) != e4
| op(e1,e4) = e2 ),
inference(resolve,[$cnf( $equal(op(e0,e4),op(e1,e4)) )],[refute_8_214,refute_8_200]) ).
cnf(refute_8_216,plain,
op(unit,e4) = op(unit,e4),
introduced(tautology,[refl,[$fot(op(unit,e4))]]) ).
cnf(refute_8_217,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_8_218,plain,
( unit != e0
| op(unit,e4) = op(e0,e4) ),
inference(resolve,[$cnf( $equal(op(unit,e4),op(unit,e4)) )],[refute_8_216,refute_8_217]) ).
cnf(refute_8_219,plain,
op(unit,e4) = op(e0,e4),
inference(resolve,[$cnf( $equal(unit,e0) )],[refute_8_102,refute_8_218]) ).
cnf(refute_8_220,plain,
( op(unit,e4) != e4
| op(unit,e4) != op(e0,e4)
| op(e0,e4) = e4 ),
introduced(tautology,[equality,[$cnf( $equal(op(unit,e4),e4) ),[0],$fot(op(e0,e4))]]) ).
cnf(refute_8_221,plain,
( op(unit,e4) != e4
| op(e0,e4) = e4 ),
inference(resolve,[$cnf( $equal(op(unit,e4),op(e0,e4)) )],[refute_8_219,refute_8_220]) ).
cnf(refute_8_222,plain,
op(e0,e4) = e4,
inference(resolve,[$cnf( $equal(op(unit,e4),e4) )],[refute_8_37,refute_8_221]) ).
cnf(refute_8_223,plain,
( e4 != e4
| op(e0,e4) != e4
| op(e0,e4) = e4 ),
introduced(tautology,[equality,[$cnf( $equal(op(e0,e4),e4) ),[0,1],$fot(e4)]]) ).
cnf(refute_8_224,plain,
( e4 != e4
| op(e0,e4) = e4 ),
inference(resolve,[$cnf( $equal(op(e0,e4),e4) )],[refute_8_222,refute_8_223]) ).
cnf(refute_8_225,plain,
( e4 != e4
| op(e1,e4) = e2 ),
inference(resolve,[$cnf( $equal(op(e0,e4),e4) )],[refute_8_224,refute_8_215]) ).
cnf(refute_8_226,plain,
e4 = e4,
introduced(tautology,[refl,[$fot(e4)]]) ).
cnf(refute_8_227,plain,
op(e1,e4) = e2,
inference(resolve,[$cnf( $equal(e4,e4) )],[refute_8_226,refute_8_225]) ).
cnf(refute_8_228,plain,
( op(e1,e3) != e2
| op(e1,e4) != e2
| op(e1,e3) = op(e1,e4) ),
introduced(tautology,[equality,[$cnf( ~ $equal(op(e1,e3),op(e1,e4)) ),[1],$fot(e2)]]) ).
cnf(refute_8_229,plain,
( op(e1,e3) != e2
| op(e1,e3) = op(e1,e4) ),
inference(resolve,[$cnf( $equal(op(e1,e4),e2) )],[refute_8_227,refute_8_228]) ).
cnf(refute_8_230,plain,
op(e1,e3) != e2,
inference(resolve,[$cnf( $equal(op(e1,e3),op(e1,e4)) )],[refute_8_229,refute_8_199]) ).
cnf(refute_8_231,plain,
op(e1,e3) = e4,
inference(resolve,[$cnf( $equal(op(e1,e3),e2) )],[refute_8_198,refute_8_230]) ).
cnf(refute_8_232,plain,
op(op(e1,e3),e3) = op(op(e1,e3),e3),
introduced(tautology,[refl,[$fot(op(op(e1,e3),e3))]]) ).
cnf(refute_8_233,plain,
( op(e1,e3) != e4
| op(op(e1,e3),e3) != op(op(e1,e3),e3)
| op(op(e1,e3),e3) = op(e4,e3) ),
introduced(tautology,[equality,[$cnf( $equal(op(op(e1,e3),e3),op(op(e1,e3),e3)) ),[1,0],$fot(e4)]]) ).
cnf(refute_8_234,plain,
( op(e1,e3) != e4
| op(op(e1,e3),e3) = op(e4,e3) ),
inference(resolve,[$cnf( $equal(op(op(e1,e3),e3),op(op(e1,e3),e3)) )],[refute_8_232,refute_8_233]) ).
cnf(refute_8_235,plain,
op(op(e1,e3),e3) = op(e4,e3),
inference(resolve,[$cnf( $equal(op(e1,e3),e4) )],[refute_8_231,refute_8_234]) ).
cnf(refute_8_236,plain,
( op(op(e1,e3),e3) != e1
| op(op(e1,e3),e3) != op(e4,e3)
| op(e4,e3) = e1 ),
introduced(tautology,[equality,[$cnf( $equal(op(op(e1,e3),e3),e1) ),[0],$fot(op(e4,e3))]]) ).
cnf(refute_8_237,plain,
( op(op(e1,e3),e3) != e1
| op(e4,e3) = e1 ),
inference(resolve,[$cnf( $equal(op(op(e1,e3),e3),op(e4,e3)) )],[refute_8_235,refute_8_236]) ).
cnf(refute_8_238,plain,
op(e4,e3) = e1,
inference(resolve,[$cnf( $equal(op(op(e1,e3),e3),e1) )],[refute_8_0,refute_8_237]) ).
cnf(refute_8_239,plain,
op(e4,e2) != op(e4,e3),
inference(canonicalize,[],[normalize_8_40]) ).
cnf(refute_8_240,plain,
( op(e0,e2) = e1
| op(e1,e2) = e1
| op(e2,e2) = e1
| op(e3,e2) = e1
| op(e4,e2) = e1 ),
inference(canonicalize,[],[normalize_8_41]) ).
cnf(refute_8_241,plain,
( op(e2,e2) != e1
| op(e2,e2) != e4
| e4 = e1 ),
introduced(tautology,[equality,[$cnf( $equal(op(e2,e2),e1) ),[0],$fot(e4)]]) ).
cnf(refute_8_242,plain,
( op(e2,e2) != e1
| e4 = e1 ),
inference(resolve,[$cnf( $equal(op(e2,e2),e4) )],[refute_8_10,refute_8_241]) ).
cnf(refute_8_243,plain,
( e4 = e1
| op(e0,e2) = e1
| op(e1,e2) = e1
| op(e3,e2) = e1
| op(e4,e2) = e1 ),
inference(resolve,[$cnf( $equal(op(e2,e2),e1) )],[refute_8_240,refute_8_242]) ).
cnf(refute_8_244,plain,
( e4 != e1
| e1 = e4 ),
inference(subst,[],[refute_8_8:[bind(X,$fot(e4)),bind(Y,$fot(e1))]]) ).
cnf(refute_8_245,plain,
e4 != e1,
inference(resolve,[$cnf( $equal(e1,e4) )],[refute_8_244,refute_8_82]) ).
cnf(refute_8_246,plain,
( op(e0,e2) = e1
| op(e1,e2) = e1
| op(e3,e2) = e1
| op(e4,e2) = e1 ),
inference(resolve,[$cnf( $equal(e4,e1) )],[refute_8_243,refute_8_245]) ).
cnf(refute_8_247,plain,
op(e3,e2) != op(e3,e4),
inference(canonicalize,[],[normalize_8_42]) ).
cnf(refute_8_248,plain,
( op(e3,e2) != e1
| op(e3,e4) != e1
| op(e3,e2) = op(e3,e4) ),
introduced(tautology,[equality,[$cnf( ~ $equal(op(e3,e2),op(e3,e4)) ),[1],$fot(e1)]]) ).
cnf(refute_8_249,plain,
( op(e3,e2) != e1
| op(e3,e2) = op(e3,e4) ),
inference(resolve,[$cnf( $equal(op(e3,e4),e1) )],[refute_8_78,refute_8_248]) ).
cnf(refute_8_250,plain,
op(e3,e2) != e1,
inference(resolve,[$cnf( $equal(op(e3,e2),op(e3,e4)) )],[refute_8_249,refute_8_247]) ).
cnf(refute_8_251,plain,
( op(e0,e2) = e1
| op(e1,e2) = e1
| op(e4,e2) = e1 ),
inference(resolve,[$cnf( $equal(op(e3,e2),e1) )],[refute_8_246,refute_8_250]) ).
cnf(refute_8_252,plain,
( e1 != op(e4,e3)
| op(e4,e2) != e1
| op(e4,e2) = op(e4,e3) ),
introduced(tautology,[equality,[$cnf( $equal(op(e4,e2),e1) ),[1],$fot(op(e4,e3))]]) ).
cnf(refute_8_253,plain,
( e1 != op(e4,e3)
| op(e0,e2) = e1
| op(e1,e2) = e1
| op(e4,e2) = op(e4,e3) ),
inference(resolve,[$cnf( $equal(op(e4,e2),e1) )],[refute_8_251,refute_8_252]) ).
cnf(refute_8_254,plain,
( e1 != op(e4,e3)
| op(e0,e2) = e1
| op(e1,e2) = e1 ),
inference(resolve,[$cnf( $equal(op(e4,e2),op(e4,e3)) )],[refute_8_253,refute_8_239]) ).
cnf(refute_8_255,plain,
op(unit,e2) = e2,
inference(canonicalize,[],[normalize_8_43]) ).
cnf(refute_8_256,plain,
op(unit,e2) = op(unit,e2),
introduced(tautology,[refl,[$fot(op(unit,e2))]]) ).
cnf(refute_8_257,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_8_258,plain,
( unit != e0
| op(unit,e2) = op(e0,e2) ),
inference(resolve,[$cnf( $equal(op(unit,e2),op(unit,e2)) )],[refute_8_256,refute_8_257]) ).
cnf(refute_8_259,plain,
op(unit,e2) = op(e0,e2),
inference(resolve,[$cnf( $equal(unit,e0) )],[refute_8_102,refute_8_258]) ).
cnf(refute_8_260,plain,
( op(unit,e2) != e2
| op(unit,e2) != op(e0,e2)
| op(e0,e2) = e2 ),
introduced(tautology,[equality,[$cnf( $equal(op(unit,e2),e2) ),[0],$fot(op(e0,e2))]]) ).
cnf(refute_8_261,plain,
( op(unit,e2) != e2
| op(e0,e2) = e2 ),
inference(resolve,[$cnf( $equal(op(unit,e2),op(e0,e2)) )],[refute_8_259,refute_8_260]) ).
cnf(refute_8_262,plain,
op(e0,e2) = e2,
inference(resolve,[$cnf( $equal(op(unit,e2),e2) )],[refute_8_255,refute_8_261]) ).
cnf(refute_8_263,plain,
( op(e0,e2) != e1
| op(e0,e2) != e2
| e2 = e1 ),
introduced(tautology,[equality,[$cnf( $equal(op(e0,e2),e1) ),[0],$fot(e2)]]) ).
cnf(refute_8_264,plain,
( op(e0,e2) != e1
| e2 = e1 ),
inference(resolve,[$cnf( $equal(op(e0,e2),e2) )],[refute_8_262,refute_8_263]) ).
cnf(refute_8_265,plain,
( e1 != op(e4,e3)
| e2 = e1
| op(e1,e2) = e1 ),
inference(resolve,[$cnf( $equal(op(e0,e2),e1) )],[refute_8_254,refute_8_264]) ).
cnf(refute_8_266,plain,
e1 != e2,
inference(canonicalize,[],[normalize_8_44]) ).
cnf(refute_8_267,plain,
( e2 != e1
| e1 = e2 ),
inference(subst,[],[refute_8_8:[bind(X,$fot(e2)),bind(Y,$fot(e1))]]) ).
cnf(refute_8_268,plain,
e2 != e1,
inference(resolve,[$cnf( $equal(e1,e2) )],[refute_8_267,refute_8_266]) ).
cnf(refute_8_269,plain,
( e1 != op(e4,e3)
| op(e1,e2) = e1 ),
inference(resolve,[$cnf( $equal(e2,e1) )],[refute_8_265,refute_8_268]) ).
cnf(refute_8_270,plain,
op(e1,e0) != op(e1,e2),
inference(canonicalize,[],[normalize_8_45]) ).
cnf(refute_8_271,plain,
( e1 != op(e1,e2)
| op(e1,e0) != e1
| op(e1,e0) = op(e1,e2) ),
introduced(tautology,[equality,[$cnf( $equal(op(e1,e0),e1) ),[1],$fot(op(e1,e2))]]) ).
cnf(refute_8_272,plain,
( e1 != op(e1,e2)
| op(e1,e0) = op(e1,e2) ),
inference(resolve,[$cnf( $equal(op(e1,e0),e1) )],[refute_8_120,refute_8_271]) ).
cnf(refute_8_273,plain,
e1 != op(e1,e2),
inference(resolve,[$cnf( $equal(op(e1,e0),op(e1,e2)) )],[refute_8_272,refute_8_270]) ).
cnf(refute_8_274,plain,
( op(e1,e2) != e1
| e1 = op(e1,e2) ),
inference(subst,[],[refute_8_8:[bind(X,$fot(op(e1,e2))),bind(Y,$fot(e1))]]) ).
cnf(refute_8_275,plain,
op(e1,e2) != e1,
inference(resolve,[$cnf( $equal(e1,op(e1,e2)) )],[refute_8_274,refute_8_273]) ).
cnf(refute_8_276,plain,
e1 != op(e4,e3),
inference(resolve,[$cnf( $equal(op(e1,e2),e1) )],[refute_8_269,refute_8_275]) ).
cnf(refute_8_277,plain,
( op(e4,e3) != e1
| e1 = op(e4,e3) ),
inference(subst,[],[refute_8_8:[bind(X,$fot(op(e4,e3))),bind(Y,$fot(e1))]]) ).
cnf(refute_8_278,plain,
op(e4,e3) != e1,
inference(resolve,[$cnf( $equal(e1,op(e4,e3)) )],[refute_8_277,refute_8_276]) ).
cnf(refute_8_279,plain,
$false,
inference(resolve,[$cnf( $equal(op(e4,e3),e1) )],[refute_8_238,refute_8_278]) ).
fof(negate_9_0,plain,
~ ( ( ( ( op(e0,op(e0,e0)) != e0
& op(e0,op(e0,e0)) = e0 )
| ( op(e1,op(e1,e0)) != e0
& op(e0,op(e1,e0)) = e1 )
| ( op(e2,op(e2,e0)) != e0
& op(e0,op(e2,e0)) = e2 )
| ( op(e3,op(e3,e0)) != e0
& op(e0,op(e3,e0)) = e3 )
| ( op(e4,op(e4,e0)) != e0
& op(e0,op(e4,e0)) = e4 ) )
& ( ( op(e0,op(e0,e1)) != e1
& op(e1,op(e0,e1)) = e0 )
| ( op(e1,op(e1,e1)) != e1
& op(e1,op(e1,e1)) = e1 )
| ( op(e2,op(e2,e1)) != e1
& op(e1,op(e2,e1)) = e2 )
| ( op(e3,op(e3,e1)) != e1
& op(e1,op(e3,e1)) = e3 )
| ( op(e4,op(e4,e1)) != e1
& op(e1,op(e4,e1)) = e4 ) )
& ( ( op(e0,op(e0,e2)) != e2
& op(e2,op(e0,e2)) = e0 )
| ( op(e1,op(e1,e2)) != e2
& op(e2,op(e1,e2)) = e1 )
| ( op(e2,op(e2,e2)) != e2
& op(e2,op(e2,e2)) = e2 )
| ( op(e3,op(e3,e2)) != e2
& op(e2,op(e3,e2)) = e3 )
| ( op(e4,op(e4,e2)) != e2
& op(e2,op(e4,e2)) = e4 ) )
& ( ( op(e0,op(e0,e3)) != e3
& op(e3,op(e0,e3)) = e0 )
| ( op(e1,op(e1,e3)) != e3
& op(e3,op(e1,e3)) = e1 )
| ( op(e2,op(e2,e3)) != e3
& op(e3,op(e2,e3)) = e2 )
| ( op(e3,op(e3,e3)) != e3
& op(e3,op(e3,e3)) = e3 )
| ( op(e4,op(e4,e3)) != e3
& op(e3,op(e4,e3)) = e4 ) )
& ( ( op(e0,op(e0,e4)) != e4
& op(e4,op(e0,e4)) = e0 )
| ( op(e1,op(e1,e4)) != e4
& op(e4,op(e1,e4)) = e1 )
| ( op(e2,op(e2,e4)) != e4
& op(e4,op(e2,e4)) = e2 )
| ( op(e3,op(e3,e4)) != e4
& op(e4,op(e3,e4)) = e3 )
| ( op(e4,op(e4,e4)) != e4
& op(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,
( e0 = op(op(e2,e2),op(e2,e2))
& e1 = op(op(e2,op(e2,e2)),op(e2,e2))
& e3 = op(e2,op(e2,e2))
& e4 = op(e2,e2) ),
inference(canonicalize,[],[ax6]) ).
fof(normalize_9_1,plain,
e1 = op(op(e2,op(e2,e2)),op(e2,e2)),
inference(conjunct,[],[normalize_9_0]) ).
fof(normalize_9_2,plain,
e4 = op(e2,e2),
inference(conjunct,[],[normalize_9_0]) ).
fof(normalize_9_3,plain,
e3 = op(e2,op(e2,e2)),
inference(conjunct,[],[normalize_9_0]) ).
fof(normalize_9_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_9_5,plain,
( op(e1,e4) = e0
| op(e1,e4) = e1
| op(e1,e4) = e2
| op(e1,e4) = e3
| op(e1,e4) = e4 ),
inference(conjunct,[],[normalize_9_4]) ).
fof(normalize_9_6,plain,
( op(e0,e0) != op(e0,e1)
& op(e0,e0) != op(e0,e2)
& op(e0,e0) != op(e0,e3)
& op(e0,e0) != op(e0,e4)
& op(e0,e0) != op(e1,e0)
& op(e0,e0) != op(e2,e0)
& op(e0,e0) != op(e3,e0)
& op(e0,e0) != op(e4,e0)
& op(e0,e1) != op(e0,e2)
& op(e0,e1) != op(e0,e3)
& op(e0,e1) != op(e0,e4)
& op(e0,e1) != op(e1,e1)
& op(e0,e1) != op(e2,e1)
& op(e0,e1) != op(e3,e1)
& op(e0,e1) != op(e4,e1)
& op(e0,e2) != op(e0,e3)
& op(e0,e2) != op(e0,e4)
& op(e0,e2) != op(e1,e2)
& op(e0,e2) != op(e2,e2)
& op(e0,e2) != op(e3,e2)
& op(e0,e2) != op(e4,e2)
& op(e0,e3) != op(e0,e4)
& op(e0,e3) != op(e1,e3)
& op(e0,e3) != op(e2,e3)
& op(e0,e3) != op(e3,e3)
& op(e0,e3) != op(e4,e3)
& op(e0,e4) != op(e1,e4)
& op(e0,e4) != op(e2,e4)
& op(e0,e4) != op(e3,e4)
& op(e0,e4) != op(e4,e4)
& op(e1,e0) != op(e1,e1)
& op(e1,e0) != op(e1,e2)
& op(e1,e0) != op(e1,e3)
& op(e1,e0) != op(e1,e4)
& op(e1,e0) != op(e2,e0)
& op(e1,e0) != op(e3,e0)
& op(e1,e0) != op(e4,e0)
& op(e1,e1) != op(e1,e2)
& op(e1,e1) != op(e1,e3)
& op(e1,e1) != op(e1,e4)
& op(e1,e1) != op(e2,e1)
& op(e1,e1) != op(e3,e1)
& op(e1,e1) != op(e4,e1)
& op(e1,e2) != op(e1,e3)
& op(e1,e2) != op(e1,e4)
& op(e1,e2) != op(e2,e2)
& op(e1,e2) != op(e3,e2)
& op(e1,e2) != op(e4,e2)
& op(e1,e3) != op(e1,e4)
& op(e1,e3) != op(e2,e3)
& op(e1,e3) != op(e3,e3)
& op(e1,e3) != op(e4,e3)
& op(e1,e4) != op(e2,e4)
& op(e1,e4) != op(e3,e4)
& op(e1,e4) != op(e4,e4)
& op(e2,e0) != op(e2,e1)
& op(e2,e0) != op(e2,e2)
& op(e2,e0) != op(e2,e3)
& op(e2,e0) != op(e2,e4)
& op(e2,e0) != op(e3,e0)
& op(e2,e0) != op(e4,e0)
& op(e2,e1) != op(e2,e2)
& op(e2,e1) != op(e2,e3)
& op(e2,e1) != op(e2,e4)
& op(e2,e1) != op(e3,e1)
& op(e2,e1) != op(e4,e1)
& op(e2,e2) != op(e2,e3)
& op(e2,e2) != op(e2,e4)
& op(e2,e2) != op(e3,e2)
& op(e2,e2) != op(e4,e2)
& op(e2,e3) != op(e2,e4)
& op(e2,e3) != op(e3,e3)
& op(e2,e3) != op(e4,e3)
& op(e2,e4) != op(e3,e4)
& op(e2,e4) != op(e4,e4)
& op(e3,e0) != op(e3,e1)
& op(e3,e0) != op(e3,e2)
& op(e3,e0) != op(e3,e3)
& op(e3,e0) != op(e3,e4)
& op(e3,e0) != op(e4,e0)
& op(e3,e1) != op(e3,e2)
& op(e3,e1) != op(e3,e3)
& op(e3,e1) != op(e3,e4)
& op(e3,e1) != op(e4,e1)
& op(e3,e2) != op(e3,e3)
& op(e3,e2) != op(e3,e4)
& op(e3,e2) != op(e4,e2)
& op(e3,e3) != op(e3,e4)
& op(e3,e3) != op(e4,e3)
& op(e3,e4) != op(e4,e4)
& op(e4,e0) != op(e4,e1)
& op(e4,e0) != op(e4,e2)
& op(e4,e0) != op(e4,e3)
& op(e4,e0) != op(e4,e4)
& op(e4,e1) != op(e4,e2)
& op(e4,e1) != op(e4,e3)
& op(e4,e1) != op(e4,e4)
& op(e4,e2) != op(e4,e3)
& op(e4,e2) != op(e4,e4)
& op(e4,e3) != op(e4,e4) ),
inference(canonicalize,[],[ax4]) ).
fof(normalize_9_7,plain,
op(e1,e4) != op(e4,e4),
inference(conjunct,[],[normalize_9_6]) ).
fof(normalize_9_8,plain,
e0 = op(op(e2,e2),op(e2,e2)),
inference(conjunct,[],[normalize_9_0]) ).
fof(normalize_9_9,plain,
op(e1,e4) != op(e3,e4),
inference(conjunct,[],[normalize_9_6]) ).
fof(normalize_9_10,plain,
op(e1,e4) != op(e2,e4),
inference(conjunct,[],[normalize_9_6]) ).
fof(normalize_9_11,plain,
op(e0,e4) != op(e1,e4),
inference(conjunct,[],[normalize_9_6]) ).
fof(normalize_9_12,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,op(e0,e1)) != e1
& op(e1,op(e0,e1)) = e0 )
| ( op(e2,op(e2,e1)) != e1
& op(e1,op(e2,e1)) = e2 )
| ( op(e3,op(e3,e1)) != e1
& op(e1,op(e3,e1)) = e3 )
| ( op(e4,op(e4,e1)) != e1
& op(e1,op(e4,e1)) = e4 ) )
& ( ( op(e0,op(e0,e2)) != e2
& op(e2,op(e0,e2)) = e0 )
| ( op(e1,op(e1,e2)) != e2
& op(e2,op(e1,e2)) = e1 )
| ( op(e3,op(e3,e2)) != e2
& op(e2,op(e3,e2)) = e3 )
| ( op(e4,op(e4,e2)) != e2
& op(e2,op(e4,e2)) = e4 ) )
& ( ( op(e0,op(e0,e3)) != e3
& op(e3,op(e0,e3)) = e0 )
| ( op(e1,op(e1,e3)) != e3
& op(e3,op(e1,e3)) = e1 )
| ( op(e2,op(e2,e3)) != e3
& op(e3,op(e2,e3)) = e2 )
| ( op(e4,op(e4,e3)) != e3
& op(e3,op(e4,e3)) = e4 ) )
& ( ( op(e0,op(e0,e4)) != e4
& op(e4,op(e0,e4)) = e0 )
| ( op(e1,op(e1,e4)) != e4
& op(e4,op(e1,e4)) = e1 )
| ( op(e2,op(e2,e4)) != e4
& op(e4,op(e2,e4)) = e2 )
| ( op(e3,op(e3,e4)) != e4
& op(e4,op(e3,e4)) = e3 ) )
& ( ( op(e1,op(e1,e0)) != e0
& op(e0,op(e1,e0)) = e1 )
| ( op(e2,op(e2,e0)) != e0
& op(e0,op(e2,e0)) = e2 )
| ( op(e3,op(e3,e0)) != e0
& op(e0,op(e3,e0)) = e3 )
| ( op(e4,op(e4,e0)) != e0
& op(e0,op(e4,e0)) = e4 ) ) ),
inference(canonicalize,[],[negate_9_0]) ).
fof(normalize_9_13,plain,
op(op(e1,e4),e4) = e1,
inference(conjunct,[],[normalize_9_12]) ).
fof(normalize_9_14,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_9_15,plain,
( op(e0,e4) = e4
| op(e1,e4) = e4
| op(e2,e4) = e4
| op(e3,e4) = e4
| op(e4,e4) = e4 ),
inference(conjunct,[],[normalize_9_14]) ).
fof(normalize_9_16,plain,
op(e2,e2) != op(e2,e4),
inference(conjunct,[],[normalize_9_6]) ).
fof(normalize_9_17,plain,
( e0 != e1
& e0 != e2
& e0 != e3
& e0 != e4
& e1 != e2
& e1 != e3
& e1 != e4
& e2 != e3
& e2 != e4
& e3 != e4 ),
inference(canonicalize,[],[ax5]) ).
fof(normalize_9_18,plain,
e0 != e4,
inference(conjunct,[],[normalize_9_17]) ).
fof(normalize_9_19,plain,
e1 != e4,
inference(conjunct,[],[normalize_9_17]) ).
fof(normalize_9_20,plain,
e0 != e1,
inference(conjunct,[],[normalize_9_17]) ).
fof(normalize_9_21,plain,
e1 != e2,
inference(conjunct,[],[normalize_9_17]) ).
cnf(refute_9_0,plain,
e1 = op(op(e2,op(e2,e2)),op(e2,e2)),
inference(canonicalize,[],[normalize_9_1]) ).
cnf(refute_9_1,plain,
e4 = op(e2,e2),
inference(canonicalize,[],[normalize_9_2]) ).
cnf(refute_9_2,plain,
X = X,
introduced(tautology,[refl,[$fot(X)]]) ).
cnf(refute_9_3,plain,
( X != X
| X != Y
| Y = X ),
introduced(tautology,[equality,[$cnf( $equal(X,X) ),[0],$fot(Y)]]) ).
cnf(refute_9_4,plain,
( X != Y
| Y = X ),
inference(resolve,[$cnf( $equal(X,X) )],[refute_9_2,refute_9_3]) ).
cnf(refute_9_5,plain,
( e4 != op(e2,e2)
| op(e2,e2) = e4 ),
inference(subst,[],[refute_9_4:[bind(X,$fot(e4)),bind(Y,$fot(op(e2,e2)))]]) ).
cnf(refute_9_6,plain,
op(e2,e2) = e4,
inference(resolve,[$cnf( $equal(e4,op(e2,e2)) )],[refute_9_1,refute_9_5]) ).
cnf(refute_9_7,plain,
op(e3,op(e2,e2)) = op(e3,op(e2,e2)),
introduced(tautology,[refl,[$fot(op(e3,op(e2,e2)))]]) ).
cnf(refute_9_8,plain,
( op(e2,e2) != e4
| op(e3,op(e2,e2)) != op(e3,op(e2,e2))
| op(e3,op(e2,e2)) = op(e3,e4) ),
introduced(tautology,[equality,[$cnf( $equal(op(e3,op(e2,e2)),op(e3,op(e2,e2))) ),[1,1],$fot(e4)]]) ).
cnf(refute_9_9,plain,
( op(e2,e2) != e4
| op(e3,op(e2,e2)) = op(e3,e4) ),
inference(resolve,[$cnf( $equal(op(e3,op(e2,e2)),op(e3,op(e2,e2))) )],[refute_9_7,refute_9_8]) ).
cnf(refute_9_10,plain,
op(e3,op(e2,e2)) = op(e3,e4),
inference(resolve,[$cnf( $equal(op(e2,e2),e4) )],[refute_9_6,refute_9_9]) ).
cnf(refute_9_11,plain,
e3 = op(e2,op(e2,e2)),
inference(canonicalize,[],[normalize_9_3]) ).
cnf(refute_9_12,plain,
( e3 != op(e2,op(e2,e2))
| op(e2,op(e2,e2)) = e3 ),
inference(subst,[],[refute_9_4:[bind(X,$fot(e3)),bind(Y,$fot(op(e2,op(e2,e2))))]]) ).
cnf(refute_9_13,plain,
op(e2,op(e2,e2)) = e3,
inference(resolve,[$cnf( $equal(e3,op(e2,op(e2,e2))) )],[refute_9_11,refute_9_12]) ).
cnf(refute_9_14,plain,
op(op(e2,op(e2,e2)),op(e2,e2)) = op(op(e2,op(e2,e2)),op(e2,e2)),
introduced(tautology,[refl,[$fot(op(op(e2,op(e2,e2)),op(e2,e2)))]]) ).
cnf(refute_9_15,plain,
( op(e2,op(e2,e2)) != e3
| op(op(e2,op(e2,e2)),op(e2,e2)) != op(op(e2,op(e2,e2)),op(e2,e2))
| op(op(e2,op(e2,e2)),op(e2,e2)) = op(e3,op(e2,e2)) ),
introduced(tautology,[equality,[$cnf( $equal(op(op(e2,op(e2,e2)),op(e2,e2)),op(op(e2,op(e2,e2)),op(e2,e2))) ),[1,0],$fot(e3)]]) ).
cnf(refute_9_16,plain,
( op(e2,op(e2,e2)) != e3
| op(op(e2,op(e2,e2)),op(e2,e2)) = op(e3,op(e2,e2)) ),
inference(resolve,[$cnf( $equal(op(op(e2,op(e2,e2)),op(e2,e2)),op(op(e2,op(e2,e2)),op(e2,e2))) )],[refute_9_14,refute_9_15]) ).
cnf(refute_9_17,plain,
op(op(e2,op(e2,e2)),op(e2,e2)) = op(e3,op(e2,e2)),
inference(resolve,[$cnf( $equal(op(e2,op(e2,e2)),e3) )],[refute_9_13,refute_9_16]) ).
cnf(refute_9_18,plain,
( Y != X
| Y != Z
| X = Z ),
introduced(tautology,[equality,[$cnf( $equal(Y,Z) ),[0],$fot(X)]]) ).
cnf(refute_9_19,plain,
( X != Y
| Y != Z
| X = Z ),
inference(resolve,[$cnf( $equal(Y,X) )],[refute_9_4,refute_9_18]) ).
cnf(refute_9_20,plain,
( op(e3,op(e2,e2)) != op(e3,e4)
| op(op(e2,op(e2,e2)),op(e2,e2)) != op(e3,op(e2,e2))
| op(op(e2,op(e2,e2)),op(e2,e2)) = op(e3,e4) ),
inference(subst,[],[refute_9_19:[bind(X,$fot(op(op(e2,op(e2,e2)),op(e2,e2)))),bind(Y,$fot(op(e3,op(e2,e2)))),bind(Z,$fot(op(e3,e4)))]]) ).
cnf(refute_9_21,plain,
( op(e3,op(e2,e2)) != op(e3,e4)
| op(op(e2,op(e2,e2)),op(e2,e2)) = op(e3,e4) ),
inference(resolve,[$cnf( $equal(op(op(e2,op(e2,e2)),op(e2,e2)),op(e3,op(e2,e2))) )],[refute_9_17,refute_9_20]) ).
cnf(refute_9_22,plain,
op(op(e2,op(e2,e2)),op(e2,e2)) = op(e3,e4),
inference(resolve,[$cnf( $equal(op(e3,op(e2,e2)),op(e3,e4)) )],[refute_9_10,refute_9_21]) ).
cnf(refute_9_23,plain,
( e1 != op(op(e2,op(e2,e2)),op(e2,e2))
| op(op(e2,op(e2,e2)),op(e2,e2)) != op(e3,e4)
| e1 = op(e3,e4) ),
introduced(tautology,[equality,[$cnf( ~ $equal(e1,op(e3,e4)) ),[0],$fot(op(op(e2,op(e2,e2)),op(e2,e2)))]]) ).
cnf(refute_9_24,plain,
( e1 != op(op(e2,op(e2,e2)),op(e2,e2))
| e1 = op(e3,e4) ),
inference(resolve,[$cnf( $equal(op(op(e2,op(e2,e2)),op(e2,e2)),op(e3,e4)) )],[refute_9_22,refute_9_23]) ).
cnf(refute_9_25,plain,
e1 = op(e3,e4),
inference(resolve,[$cnf( $equal(e1,op(op(e2,op(e2,e2)),op(e2,e2))) )],[refute_9_0,refute_9_24]) ).
cnf(refute_9_26,plain,
( op(e1,e4) = e0
| op(e1,e4) = e1
| op(e1,e4) = e2
| op(e1,e4) = e3
| op(e1,e4) = e4 ),
inference(canonicalize,[],[normalize_9_5]) ).
cnf(refute_9_27,plain,
op(e1,e4) != op(e4,e4),
inference(canonicalize,[],[normalize_9_7]) ).
cnf(refute_9_28,plain,
e0 = op(op(e2,e2),op(e2,e2)),
inference(canonicalize,[],[normalize_9_8]) ).
cnf(refute_9_29,plain,
op(e4,op(e2,e2)) = op(e4,op(e2,e2)),
introduced(tautology,[refl,[$fot(op(e4,op(e2,e2)))]]) ).
cnf(refute_9_30,plain,
( op(e2,e2) != e4
| op(e4,op(e2,e2)) != op(e4,op(e2,e2))
| op(e4,op(e2,e2)) = op(e4,e4) ),
introduced(tautology,[equality,[$cnf( $equal(op(e4,op(e2,e2)),op(e4,op(e2,e2))) ),[1,1],$fot(e4)]]) ).
cnf(refute_9_31,plain,
( op(e2,e2) != e4
| op(e4,op(e2,e2)) = op(e4,e4) ),
inference(resolve,[$cnf( $equal(op(e4,op(e2,e2)),op(e4,op(e2,e2))) )],[refute_9_29,refute_9_30]) ).
cnf(refute_9_32,plain,
op(e4,op(e2,e2)) = op(e4,e4),
inference(resolve,[$cnf( $equal(op(e2,e2),e4) )],[refute_9_6,refute_9_31]) ).
cnf(refute_9_33,plain,
op(op(e2,e2),op(e2,e2)) = op(op(e2,e2),op(e2,e2)),
introduced(tautology,[refl,[$fot(op(op(e2,e2),op(e2,e2)))]]) ).
cnf(refute_9_34,plain,
( op(e2,e2) != e4
| op(op(e2,e2),op(e2,e2)) != op(op(e2,e2),op(e2,e2))
| op(op(e2,e2),op(e2,e2)) = op(e4,op(e2,e2)) ),
introduced(tautology,[equality,[$cnf( $equal(op(op(e2,e2),op(e2,e2)),op(op(e2,e2),op(e2,e2))) ),[1,0],$fot(e4)]]) ).
cnf(refute_9_35,plain,
( op(e2,e2) != e4
| op(op(e2,e2),op(e2,e2)) = op(e4,op(e2,e2)) ),
inference(resolve,[$cnf( $equal(op(op(e2,e2),op(e2,e2)),op(op(e2,e2),op(e2,e2))) )],[refute_9_33,refute_9_34]) ).
cnf(refute_9_36,plain,
op(op(e2,e2),op(e2,e2)) = op(e4,op(e2,e2)),
inference(resolve,[$cnf( $equal(op(e2,e2),e4) )],[refute_9_6,refute_9_35]) ).
cnf(refute_9_37,plain,
( op(e4,op(e2,e2)) != op(e4,e4)
| op(op(e2,e2),op(e2,e2)) != op(e4,op(e2,e2))
| op(op(e2,e2),op(e2,e2)) = op(e4,e4) ),
inference(subst,[],[refute_9_19:[bind(X,$fot(op(op(e2,e2),op(e2,e2)))),bind(Y,$fot(op(e4,op(e2,e2)))),bind(Z,$fot(op(e4,e4)))]]) ).
cnf(refute_9_38,plain,
( op(e4,op(e2,e2)) != op(e4,e4)
| op(op(e2,e2),op(e2,e2)) = op(e4,e4) ),
inference(resolve,[$cnf( $equal(op(op(e2,e2),op(e2,e2)),op(e4,op(e2,e2))) )],[refute_9_36,refute_9_37]) ).
cnf(refute_9_39,plain,
op(op(e2,e2),op(e2,e2)) = op(e4,e4),
inference(resolve,[$cnf( $equal(op(e4,op(e2,e2)),op(e4,e4)) )],[refute_9_32,refute_9_38]) ).
cnf(refute_9_40,plain,
( e0 != op(op(e2,e2),op(e2,e2))
| op(op(e2,e2),op(e2,e2)) != op(e4,e4)
| e0 = op(e4,e4) ),
introduced(tautology,[equality,[$cnf( ~ $equal(e0,op(e4,e4)) ),[0],$fot(op(op(e2,e2),op(e2,e2)))]]) ).
cnf(refute_9_41,plain,
( e0 != op(op(e2,e2),op(e2,e2))
| e0 = op(e4,e4) ),
inference(resolve,[$cnf( $equal(op(op(e2,e2),op(e2,e2)),op(e4,e4)) )],[refute_9_39,refute_9_40]) ).
cnf(refute_9_42,plain,
e0 = op(e4,e4),
inference(resolve,[$cnf( $equal(e0,op(op(e2,e2),op(e2,e2))) )],[refute_9_28,refute_9_41]) ).
cnf(refute_9_43,plain,
( e0 != op(e4,e4)
| op(e4,e4) = e0 ),
inference(subst,[],[refute_9_4:[bind(X,$fot(e0)),bind(Y,$fot(op(e4,e4)))]]) ).
cnf(refute_9_44,plain,
op(e4,e4) = e0,
inference(resolve,[$cnf( $equal(e0,op(e4,e4)) )],[refute_9_42,refute_9_43]) ).
cnf(refute_9_45,plain,
( op(e1,e4) != e0
| op(e4,e4) != e0
| op(e1,e4) = op(e4,e4) ),
introduced(tautology,[equality,[$cnf( ~ $equal(op(e1,e4),op(e4,e4)) ),[1],$fot(e0)]]) ).
cnf(refute_9_46,plain,
( op(e1,e4) != e0
| op(e1,e4) = op(e4,e4) ),
inference(resolve,[$cnf( $equal(op(e4,e4),e0) )],[refute_9_44,refute_9_45]) ).
cnf(refute_9_47,plain,
op(e1,e4) != e0,
inference(resolve,[$cnf( $equal(op(e1,e4),op(e4,e4)) )],[refute_9_46,refute_9_27]) ).
cnf(refute_9_48,plain,
( op(e1,e4) = e1
| op(e1,e4) = e2
| op(e1,e4) = e3
| op(e1,e4) = e4 ),
inference(resolve,[$cnf( $equal(op(e1,e4),e0) )],[refute_9_26,refute_9_47]) ).
cnf(refute_9_49,plain,
op(e1,e4) != op(e3,e4),
inference(canonicalize,[],[normalize_9_9]) ).
cnf(refute_9_50,plain,
( e1 != op(e3,e4)
| op(e3,e4) = e1 ),
inference(subst,[],[refute_9_4:[bind(X,$fot(e1)),bind(Y,$fot(op(e3,e4)))]]) ).
cnf(refute_9_51,plain,
op(e3,e4) = e1,
inference(resolve,[$cnf( $equal(e1,op(e3,e4)) )],[refute_9_25,refute_9_50]) ).
cnf(refute_9_52,plain,
( op(e1,e4) != e1
| op(e3,e4) != e1
| op(e1,e4) = op(e3,e4) ),
introduced(tautology,[equality,[$cnf( ~ $equal(op(e1,e4),op(e3,e4)) ),[1],$fot(e1)]]) ).
cnf(refute_9_53,plain,
( op(e1,e4) != e1
| op(e1,e4) = op(e3,e4) ),
inference(resolve,[$cnf( $equal(op(e3,e4),e1) )],[refute_9_51,refute_9_52]) ).
cnf(refute_9_54,plain,
op(e1,e4) != e1,
inference(resolve,[$cnf( $equal(op(e1,e4),op(e3,e4)) )],[refute_9_53,refute_9_49]) ).
cnf(refute_9_55,plain,
( op(e1,e4) = e2
| op(e1,e4) = e3
| op(e1,e4) = e4 ),
inference(resolve,[$cnf( $equal(op(e1,e4),e1) )],[refute_9_48,refute_9_54]) ).
cnf(refute_9_56,plain,
op(e1,e4) != op(e2,e4),
inference(canonicalize,[],[normalize_9_10]) ).
cnf(refute_9_57,plain,
op(e2,op(e2,e2)) = op(e2,op(e2,e2)),
introduced(tautology,[refl,[$fot(op(e2,op(e2,e2)))]]) ).
cnf(refute_9_58,plain,
( op(e2,e2) != e4
| op(e2,op(e2,e2)) != op(e2,op(e2,e2))
| op(e2,op(e2,e2)) = op(e2,e4) ),
introduced(tautology,[equality,[$cnf( $equal(op(e2,op(e2,e2)),op(e2,op(e2,e2))) ),[1,1],$fot(e4)]]) ).
cnf(refute_9_59,plain,
( op(e2,e2) != e4
| op(e2,op(e2,e2)) = op(e2,e4) ),
inference(resolve,[$cnf( $equal(op(e2,op(e2,e2)),op(e2,op(e2,e2))) )],[refute_9_57,refute_9_58]) ).
cnf(refute_9_60,plain,
op(e2,op(e2,e2)) = op(e2,e4),
inference(resolve,[$cnf( $equal(op(e2,e2),e4) )],[refute_9_6,refute_9_59]) ).
cnf(refute_9_61,plain,
( e3 != op(e2,op(e2,e2))
| op(e2,op(e2,e2)) != op(e2,e4)
| e3 = op(e2,e4) ),
introduced(tautology,[equality,[$cnf( ~ $equal(e3,op(e2,e4)) ),[0],$fot(op(e2,op(e2,e2)))]]) ).
cnf(refute_9_62,plain,
( e3 != op(e2,op(e2,e2))
| e3 = op(e2,e4) ),
inference(resolve,[$cnf( $equal(op(e2,op(e2,e2)),op(e2,e4)) )],[refute_9_60,refute_9_61]) ).
cnf(refute_9_63,plain,
e3 = op(e2,e4),
inference(resolve,[$cnf( $equal(e3,op(e2,op(e2,e2))) )],[refute_9_11,refute_9_62]) ).
cnf(refute_9_64,plain,
( e3 != op(e2,e4)
| op(e2,e4) = e3 ),
inference(subst,[],[refute_9_4:[bind(X,$fot(e3)),bind(Y,$fot(op(e2,e4)))]]) ).
cnf(refute_9_65,plain,
op(e2,e4) = e3,
inference(resolve,[$cnf( $equal(e3,op(e2,e4)) )],[refute_9_63,refute_9_64]) ).
cnf(refute_9_66,plain,
( op(e1,e4) != e3
| op(e2,e4) != e3
| op(e1,e4) = op(e2,e4) ),
introduced(tautology,[equality,[$cnf( ~ $equal(op(e1,e4),op(e2,e4)) ),[1],$fot(e3)]]) ).
cnf(refute_9_67,plain,
( op(e1,e4) != e3
| op(e1,e4) = op(e2,e4) ),
inference(resolve,[$cnf( $equal(op(e2,e4),e3) )],[refute_9_65,refute_9_66]) ).
cnf(refute_9_68,plain,
op(e1,e4) != e3,
inference(resolve,[$cnf( $equal(op(e1,e4),op(e2,e4)) )],[refute_9_67,refute_9_56]) ).
cnf(refute_9_69,plain,
( op(e1,e4) = e2
| op(e1,e4) = e4 ),
inference(resolve,[$cnf( $equal(op(e1,e4),e3) )],[refute_9_55,refute_9_68]) ).
cnf(refute_9_70,plain,
op(e0,e4) != op(e1,e4),
inference(canonicalize,[],[normalize_9_11]) ).
cnf(refute_9_71,plain,
op(op(e1,e4),e4) = e1,
inference(canonicalize,[],[normalize_9_13]) ).
cnf(refute_9_72,plain,
( op(e0,e4) = e4
| op(e1,e4) = e4
| op(e2,e4) = e4
| op(e3,e4) = e4
| op(e4,e4) = e4 ),
inference(canonicalize,[],[normalize_9_15]) ).
cnf(refute_9_73,plain,
op(e2,e2) != op(e2,e4),
inference(canonicalize,[],[normalize_9_16]) ).
cnf(refute_9_74,plain,
( e4 != op(e2,e4)
| op(e2,e2) != e4
| op(e2,e2) = op(e2,e4) ),
introduced(tautology,[equality,[$cnf( $equal(op(e2,e2),e4) ),[1],$fot(op(e2,e4))]]) ).
cnf(refute_9_75,plain,
( e4 != op(e2,e4)
| op(e2,e2) = op(e2,e4) ),
inference(resolve,[$cnf( $equal(op(e2,e2),e4) )],[refute_9_6,refute_9_74]) ).
cnf(refute_9_76,plain,
e4 != op(e2,e4),
inference(resolve,[$cnf( $equal(op(e2,e2),op(e2,e4)) )],[refute_9_75,refute_9_73]) ).
cnf(refute_9_77,plain,
( op(e2,e4) != e4
| e4 = op(e2,e4) ),
inference(subst,[],[refute_9_4:[bind(X,$fot(op(e2,e4))),bind(Y,$fot(e4))]]) ).
cnf(refute_9_78,plain,
op(e2,e4) != e4,
inference(resolve,[$cnf( $equal(e4,op(e2,e4)) )],[refute_9_77,refute_9_76]) ).
cnf(refute_9_79,plain,
( op(e0,e4) = e4
| op(e1,e4) = e4
| op(e3,e4) = e4
| op(e4,e4) = e4 ),
inference(resolve,[$cnf( $equal(op(e2,e4),e4) )],[refute_9_72,refute_9_78]) ).
cnf(refute_9_80,plain,
( op(e3,e4) != e1
| op(e3,e4) != e4
| e1 = e4 ),
introduced(tautology,[equality,[$cnf( $equal(op(e3,e4),e4) ),[0],$fot(e1)]]) ).
cnf(refute_9_81,plain,
( op(e3,e4) != e4
| e1 = e4 ),
inference(resolve,[$cnf( $equal(op(e3,e4),e1) )],[refute_9_51,refute_9_80]) ).
cnf(refute_9_82,plain,
( e1 = e4
| op(e0,e4) = e4
| op(e1,e4) = e4
| op(e4,e4) = e4 ),
inference(resolve,[$cnf( $equal(op(e3,e4),e4) )],[refute_9_79,refute_9_81]) ).
cnf(refute_9_83,plain,
( op(e4,e4) != e0
| op(e4,e4) != e4
| e0 = e4 ),
introduced(tautology,[equality,[$cnf( $equal(op(e4,e4),e4) ),[0],$fot(e0)]]) ).
cnf(refute_9_84,plain,
( op(e4,e4) != e4
| e0 = e4 ),
inference(resolve,[$cnf( $equal(op(e4,e4),e0) )],[refute_9_44,refute_9_83]) ).
cnf(refute_9_85,plain,
( e0 = e4
| e1 = e4
| op(e0,e4) = e4
| op(e1,e4) = e4 ),
inference(resolve,[$cnf( $equal(op(e4,e4),e4) )],[refute_9_82,refute_9_84]) ).
cnf(refute_9_86,plain,
e0 != e4,
inference(canonicalize,[],[normalize_9_18]) ).
cnf(refute_9_87,plain,
( e1 = e4
| op(e0,e4) = e4
| op(e1,e4) = e4 ),
inference(resolve,[$cnf( $equal(e0,e4) )],[refute_9_85,refute_9_86]) ).
cnf(refute_9_88,plain,
e1 != e4,
inference(canonicalize,[],[normalize_9_19]) ).
cnf(refute_9_89,plain,
( op(e0,e4) = e4
| op(e1,e4) = e4 ),
inference(resolve,[$cnf( $equal(e1,e4) )],[refute_9_87,refute_9_88]) ).
cnf(refute_9_90,plain,
( op(e1,e4) != e4
| op(op(e1,e4),e4) != e1
| op(e4,e4) = e1 ),
introduced(tautology,[equality,[$cnf( $equal(op(op(e1,e4),e4),e1) ),[0,0],$fot(e4)]]) ).
cnf(refute_9_91,plain,
( op(op(e1,e4),e4) != e1
| op(e0,e4) = e4
| op(e4,e4) = e1 ),
inference(resolve,[$cnf( $equal(op(e1,e4),e4) )],[refute_9_89,refute_9_90]) ).
cnf(refute_9_92,plain,
( op(e0,e4) = e4
| op(e4,e4) = e1 ),
inference(resolve,[$cnf( $equal(op(op(e1,e4),e4),e1) )],[refute_9_71,refute_9_91]) ).
cnf(refute_9_93,plain,
( op(e4,e4) != e0
| op(e4,e4) != e1
| e0 = e1 ),
introduced(tautology,[equality,[$cnf( $equal(op(e4,e4),e1) ),[0],$fot(e0)]]) ).
cnf(refute_9_94,plain,
( op(e4,e4) != e1
| e0 = e1 ),
inference(resolve,[$cnf( $equal(op(e4,e4),e0) )],[refute_9_44,refute_9_93]) ).
cnf(refute_9_95,plain,
( e0 = e1
| op(e0,e4) = e4 ),
inference(resolve,[$cnf( $equal(op(e4,e4),e1) )],[refute_9_92,refute_9_94]) ).
cnf(refute_9_96,plain,
e0 != e1,
inference(canonicalize,[],[normalize_9_20]) ).
cnf(refute_9_97,plain,
op(e0,e4) = e4,
inference(resolve,[$cnf( $equal(e0,e1) )],[refute_9_95,refute_9_96]) ).
cnf(refute_9_98,plain,
( e4 != op(e1,e4)
| op(e0,e4) != e4
| op(e0,e4) = op(e1,e4) ),
introduced(tautology,[equality,[$cnf( $equal(op(e0,e4),e4) ),[1],$fot(op(e1,e4))]]) ).
cnf(refute_9_99,plain,
( e4 != op(e1,e4)
| op(e0,e4) = op(e1,e4) ),
inference(resolve,[$cnf( $equal(op(e0,e4),e4) )],[refute_9_97,refute_9_98]) ).
cnf(refute_9_100,plain,
e4 != op(e1,e4),
inference(resolve,[$cnf( $equal(op(e0,e4),op(e1,e4)) )],[refute_9_99,refute_9_70]) ).
cnf(refute_9_101,plain,
( op(e1,e4) != e4
| e4 = op(e1,e4) ),
inference(subst,[],[refute_9_4:[bind(X,$fot(op(e1,e4))),bind(Y,$fot(e4))]]) ).
cnf(refute_9_102,plain,
op(e1,e4) != e4,
inference(resolve,[$cnf( $equal(e4,op(e1,e4)) )],[refute_9_101,refute_9_100]) ).
cnf(refute_9_103,plain,
op(e1,e4) = e2,
inference(resolve,[$cnf( $equal(op(e1,e4),e4) )],[refute_9_69,refute_9_102]) ).
cnf(refute_9_104,plain,
op(op(e1,e4),e4) = op(op(e1,e4),e4),
introduced(tautology,[refl,[$fot(op(op(e1,e4),e4))]]) ).
cnf(refute_9_105,plain,
( op(e1,e4) != e2
| op(op(e1,e4),e4) != op(op(e1,e4),e4)
| op(op(e1,e4),e4) = op(e2,e4) ),
introduced(tautology,[equality,[$cnf( $equal(op(op(e1,e4),e4),op(op(e1,e4),e4)) ),[1,0],$fot(e2)]]) ).
cnf(refute_9_106,plain,
( op(e1,e4) != e2
| op(op(e1,e4),e4) = op(e2,e4) ),
inference(resolve,[$cnf( $equal(op(op(e1,e4),e4),op(op(e1,e4),e4)) )],[refute_9_104,refute_9_105]) ).
cnf(refute_9_107,plain,
op(op(e1,e4),e4) = op(e2,e4),
inference(resolve,[$cnf( $equal(op(e1,e4),e2) )],[refute_9_103,refute_9_106]) ).
cnf(refute_9_108,plain,
( op(e2,e4) != e3
| op(op(e1,e4),e4) != op(e2,e4)
| op(op(e1,e4),e4) = e3 ),
inference(subst,[],[refute_9_19:[bind(X,$fot(op(op(e1,e4),e4))),bind(Y,$fot(op(e2,e4))),bind(Z,$fot(e3))]]) ).
cnf(refute_9_109,plain,
( op(e2,e4) != e3
| op(op(e1,e4),e4) = e3 ),
inference(resolve,[$cnf( $equal(op(op(e1,e4),e4),op(e2,e4)) )],[refute_9_107,refute_9_108]) ).
cnf(refute_9_110,plain,
op(op(e1,e4),e4) = e3,
inference(resolve,[$cnf( $equal(op(e2,e4),e3) )],[refute_9_65,refute_9_109]) ).
cnf(refute_9_111,plain,
( op(op(e1,e4),e4) != e1
| op(op(e1,e4),e4) != e3
| e3 = e1 ),
introduced(tautology,[equality,[$cnf( $equal(op(op(e1,e4),e4),e1) ),[0],$fot(e3)]]) ).
cnf(refute_9_112,plain,
( op(op(e1,e4),e4) != e1
| e3 = e1 ),
inference(resolve,[$cnf( $equal(op(op(e1,e4),e4),e3) )],[refute_9_110,refute_9_111]) ).
cnf(refute_9_113,plain,
e3 = e1,
inference(resolve,[$cnf( $equal(op(op(e1,e4),e4),e1) )],[refute_9_71,refute_9_112]) ).
cnf(refute_9_114,plain,
op(e3,e4) = op(e3,e4),
introduced(tautology,[refl,[$fot(op(e3,e4))]]) ).
cnf(refute_9_115,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_9_116,plain,
( e3 != e1
| op(e3,e4) = op(e1,e4) ),
inference(resolve,[$cnf( $equal(op(e3,e4),op(e3,e4)) )],[refute_9_114,refute_9_115]) ).
cnf(refute_9_117,plain,
op(e3,e4) = op(e1,e4),
inference(resolve,[$cnf( $equal(e3,e1) )],[refute_9_113,refute_9_116]) ).
cnf(refute_9_118,plain,
( op(e1,e4) != e2
| op(e3,e4) != op(e1,e4)
| op(e3,e4) = e2 ),
inference(subst,[],[refute_9_19:[bind(X,$fot(op(e3,e4))),bind(Y,$fot(op(e1,e4))),bind(Z,$fot(e2))]]) ).
cnf(refute_9_119,plain,
( op(e1,e4) != e2
| op(e3,e4) = e2 ),
inference(resolve,[$cnf( $equal(op(e3,e4),op(e1,e4)) )],[refute_9_117,refute_9_118]) ).
cnf(refute_9_120,plain,
op(e3,e4) = e2,
inference(resolve,[$cnf( $equal(op(e1,e4),e2) )],[refute_9_103,refute_9_119]) ).
cnf(refute_9_121,plain,
( e1 != op(e3,e4)
| op(e3,e4) != e2
| e1 = e2 ),
introduced(tautology,[equality,[$cnf( ~ $equal(e1,e2) ),[0],$fot(op(e3,e4))]]) ).
cnf(refute_9_122,plain,
( e1 != op(e3,e4)
| e1 = e2 ),
inference(resolve,[$cnf( $equal(op(e3,e4),e2) )],[refute_9_120,refute_9_121]) ).
cnf(refute_9_123,plain,
e1 = e2,
inference(resolve,[$cnf( $equal(e1,op(e3,e4)) )],[refute_9_25,refute_9_122]) ).
cnf(refute_9_124,plain,
e1 != e2,
inference(canonicalize,[],[normalize_9_21]) ).
cnf(refute_9_125,plain,
$false,
inference(resolve,[$cnf( $equal(e1,e2) )],[refute_9_123,refute_9_124]) ).
fof(negate_10_0,plain,
~ ( ( ( ( op(e0,op(e0,e0)) != e0
& op(e0,op(e0,e0)) = e0 )
| ( op(e1,op(e1,e0)) != e0
& op(e0,op(e1,e0)) = e1 )
| ( op(e2,op(e2,e0)) != e0
& op(e0,op(e2,e0)) = e2 )
| ( op(e3,op(e3,e0)) != e0
& op(e0,op(e3,e0)) = e3 )
| ( op(e4,op(e4,e0)) != e0
& op(e0,op(e4,e0)) = e4 ) )
& ( ( op(e0,op(e0,e1)) != e1
& op(e1,op(e0,e1)) = e0 )
| ( op(e1,op(e1,e1)) != e1
& op(e1,op(e1,e1)) = e1 )
| ( op(e2,op(e2,e1)) != e1
& op(e1,op(e2,e1)) = e2 )
| ( op(e3,op(e3,e1)) != e1
& op(e1,op(e3,e1)) = e3 )
| ( op(e4,op(e4,e1)) != e1
& op(e1,op(e4,e1)) = e4 ) )
& ( ( op(e0,op(e0,e2)) != e2
& op(e2,op(e0,e2)) = e0 )
| ( op(e1,op(e1,e2)) != e2
& op(e2,op(e1,e2)) = e1 )
| ( op(e2,op(e2,e2)) != e2
& op(e2,op(e2,e2)) = e2 )
| ( op(e3,op(e3,e2)) != e2
& op(e2,op(e3,e2)) = e3 )
| ( op(e4,op(e4,e2)) != e2
& op(e2,op(e4,e2)) = e4 ) )
& ( ( op(e0,op(e0,e3)) != e3
& op(e3,op(e0,e3)) = e0 )
| ( op(e1,op(e1,e3)) != e3
& op(e3,op(e1,e3)) = e1 )
| ( op(e2,op(e2,e3)) != e3
& op(e3,op(e2,e3)) = e2 )
| ( op(e3,op(e3,e3)) != e3
& op(e3,op(e3,e3)) = e3 )
| ( op(e4,op(e4,e3)) != e3
& op(e3,op(e4,e3)) = e4 ) )
& ( ( op(e0,op(e0,e4)) != e4
& op(e4,op(e0,e4)) = e0 )
| ( op(e1,op(e1,e4)) != e4
& op(e4,op(e1,e4)) = e1 )
| ( op(e2,op(e2,e4)) != e4
& op(e4,op(e2,e4)) = e2 )
| ( op(e3,op(e3,e4)) != e4
& op(e4,op(e3,e4)) = e3 )
| ( op(e4,op(e4,e4)) != e4
& op(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,
( e0 = op(op(e2,e2),op(e2,e2))
& e1 = op(op(e2,op(e2,e2)),op(e2,e2))
& e3 = op(e2,op(e2,e2))
& e4 = op(e2,e2) ),
inference(canonicalize,[],[ax6]) ).
fof(normalize_10_1,plain,
e0 = op(op(e2,e2),op(e2,e2)),
inference(conjunct,[],[normalize_10_0]) ).
fof(normalize_10_2,plain,
e4 = op(e2,e2),
inference(conjunct,[],[normalize_10_0]) ).
fof(normalize_10_3,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_4,plain,
op(e1,unit) = e1,
inference(conjunct,[],[normalize_10_3]) ).
fof(normalize_10_5,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,op(e0,e1)) != e1
& op(e1,op(e0,e1)) = e0 )
| ( op(e2,op(e2,e1)) != e1
& op(e1,op(e2,e1)) = e2 )
| ( op(e3,op(e3,e1)) != e1
& op(e1,op(e3,e1)) = e3 )
| ( op(e4,op(e4,e1)) != e1
& op(e1,op(e4,e1)) = e4 ) )
& ( ( op(e0,op(e0,e2)) != e2
& op(e2,op(e0,e2)) = e0 )
| ( op(e1,op(e1,e2)) != e2
& op(e2,op(e1,e2)) = e1 )
| ( op(e3,op(e3,e2)) != e2
& op(e2,op(e3,e2)) = e3 )
| ( op(e4,op(e4,e2)) != e2
& op(e2,op(e4,e2)) = e4 ) )
& ( ( op(e0,op(e0,e3)) != e3
& op(e3,op(e0,e3)) = e0 )
| ( op(e1,op(e1,e3)) != e3
& op(e3,op(e1,e3)) = e1 )
| ( op(e2,op(e2,e3)) != e3
& op(e3,op(e2,e3)) = e2 )
| ( op(e4,op(e4,e3)) != e3
& op(e3,op(e4,e3)) = e4 ) )
& ( ( op(e0,op(e0,e4)) != e4
& op(e4,op(e0,e4)) = e0 )
| ( op(e1,op(e1,e4)) != e4
& op(e4,op(e1,e4)) = e1 )
| ( op(e2,op(e2,e4)) != e4
& op(e4,op(e2,e4)) = e2 )
| ( op(e3,op(e3,e4)) != e4
& op(e4,op(e3,e4)) = e3 ) )
& ( ( op(e1,op(e1,e0)) != e0
& op(e0,op(e1,e0)) = e1 )
| ( op(e2,op(e2,e0)) != e0
& op(e0,op(e2,e0)) = e2 )
| ( op(e3,op(e3,e0)) != e0
& op(e0,op(e3,e0)) = e3 )
| ( op(e4,op(e4,e0)) != e0
& op(e0,op(e4,e0)) = e4 ) ) ),
inference(canonicalize,[],[negate_10_0]) ).
fof(normalize_10_6,plain,
op(e0,e2) != op(e2,e0),
inference(conjunct,[],[normalize_10_5]) ).
fof(normalize_10_7,plain,
op(unit,e2) = e2,
inference(conjunct,[],[normalize_10_3]) ).
fof(normalize_10_8,plain,
op(unit,e4) = e4,
inference(conjunct,[],[normalize_10_3]) ).
fof(normalize_10_9,plain,
( unit = e0
| unit = e1
| unit = e2
| unit = e3
| unit = e4 ),
inference(conjunct,[],[normalize_10_3]) ).
fof(normalize_10_10,plain,
e3 = op(e2,op(e2,e2)),
inference(conjunct,[],[normalize_10_0]) ).
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,
e3 != e4,
inference(conjunct,[],[normalize_10_11]) ).
fof(normalize_10_13,plain,
e1 = op(op(e2,op(e2,e2)),op(e2,e2)),
inference(conjunct,[],[normalize_10_0]) ).
fof(normalize_10_14,plain,
e1 != e4,
inference(conjunct,[],[normalize_10_11]) ).
fof(normalize_10_15,plain,
e0 != e4,
inference(conjunct,[],[normalize_10_11]) ).
fof(normalize_10_16,plain,
op(e2,unit) = e2,
inference(conjunct,[],[normalize_10_3]) ).
fof(normalize_10_17,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_10_18,plain,
( op(e2,e0) = e0
| op(e2,e0) = e1
| op(e2,e0) = e2
| op(e2,e0) = e3
| op(e2,e0) = e4 ),
inference(conjunct,[],[normalize_10_17]) ).
fof(normalize_10_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_10_20,plain,
op(e2,e0) != op(e2,e2),
inference(conjunct,[],[normalize_10_19]) ).
fof(normalize_10_21,plain,
op(e1,e0) != op(e2,e0),
inference(conjunct,[],[normalize_10_19]) ).
fof(normalize_10_22,plain,
op(unit,e0) = e0,
inference(conjunct,[],[normalize_10_3]) ).
fof(normalize_10_23,plain,
op(e2,e0) != op(e2,e1),
inference(conjunct,[],[normalize_10_19]) ).
fof(normalize_10_24,plain,
op(e2,e0) != op(e2,e4),
inference(conjunct,[],[normalize_10_19]) ).
fof(normalize_10_25,plain,
op(op(e2,e0),e0) = e2,
inference(conjunct,[],[normalize_10_5]) ).
fof(normalize_10_26,plain,
e0 != e1,
inference(conjunct,[],[normalize_10_11]) ).
cnf(refute_10_0,plain,
e0 = op(op(e2,e2),op(e2,e2)),
inference(canonicalize,[],[normalize_10_1]) ).
cnf(refute_10_1,plain,
e4 = op(e2,e2),
inference(canonicalize,[],[normalize_10_2]) ).
cnf(refute_10_2,plain,
X = X,
introduced(tautology,[refl,[$fot(X)]]) ).
cnf(refute_10_3,plain,
( X != X
| X != Y
| Y = X ),
introduced(tautology,[equality,[$cnf( $equal(X,X) ),[0],$fot(Y)]]) ).
cnf(refute_10_4,plain,
( X != Y
| Y = X ),
inference(resolve,[$cnf( $equal(X,X) )],[refute_10_2,refute_10_3]) ).
cnf(refute_10_5,plain,
( e4 != op(e2,e2)
| op(e2,e2) = e4 ),
inference(subst,[],[refute_10_4:[bind(X,$fot(e4)),bind(Y,$fot(op(e2,e2)))]]) ).
cnf(refute_10_6,plain,
op(e2,e2) = e4,
inference(resolve,[$cnf( $equal(e4,op(e2,e2)) )],[refute_10_1,refute_10_5]) ).
cnf(refute_10_7,plain,
op(e4,op(e2,e2)) = op(e4,op(e2,e2)),
introduced(tautology,[refl,[$fot(op(e4,op(e2,e2)))]]) ).
cnf(refute_10_8,plain,
( op(e2,e2) != e4
| op(e4,op(e2,e2)) != op(e4,op(e2,e2))
| op(e4,op(e2,e2)) = op(e4,e4) ),
introduced(tautology,[equality,[$cnf( $equal(op(e4,op(e2,e2)),op(e4,op(e2,e2))) ),[1,1],$fot(e4)]]) ).
cnf(refute_10_9,plain,
( op(e2,e2) != e4
| op(e4,op(e2,e2)) = op(e4,e4) ),
inference(resolve,[$cnf( $equal(op(e4,op(e2,e2)),op(e4,op(e2,e2))) )],[refute_10_7,refute_10_8]) ).
cnf(refute_10_10,plain,
op(e4,op(e2,e2)) = op(e4,e4),
inference(resolve,[$cnf( $equal(op(e2,e2),e4) )],[refute_10_6,refute_10_9]) ).
cnf(refute_10_11,plain,
op(op(e2,e2),op(e2,e2)) = op(op(e2,e2),op(e2,e2)),
introduced(tautology,[refl,[$fot(op(op(e2,e2),op(e2,e2)))]]) ).
cnf(refute_10_12,plain,
( op(e2,e2) != e4
| op(op(e2,e2),op(e2,e2)) != op(op(e2,e2),op(e2,e2))
| op(op(e2,e2),op(e2,e2)) = op(e4,op(e2,e2)) ),
introduced(tautology,[equality,[$cnf( $equal(op(op(e2,e2),op(e2,e2)),op(op(e2,e2),op(e2,e2))) ),[1,0],$fot(e4)]]) ).
cnf(refute_10_13,plain,
( op(e2,e2) != e4
| op(op(e2,e2),op(e2,e2)) = op(e4,op(e2,e2)) ),
inference(resolve,[$cnf( $equal(op(op(e2,e2),op(e2,e2)),op(op(e2,e2),op(e2,e2))) )],[refute_10_11,refute_10_12]) ).
cnf(refute_10_14,plain,
op(op(e2,e2),op(e2,e2)) = op(e4,op(e2,e2)),
inference(resolve,[$cnf( $equal(op(e2,e2),e4) )],[refute_10_6,refute_10_13]) ).
cnf(refute_10_15,plain,
( Y != X
| Y != Z
| X = Z ),
introduced(tautology,[equality,[$cnf( $equal(Y,Z) ),[0],$fot(X)]]) ).
cnf(refute_10_16,plain,
( X != Y
| Y != Z
| X = Z ),
inference(resolve,[$cnf( $equal(Y,X) )],[refute_10_4,refute_10_15]) ).
cnf(refute_10_17,plain,
( op(e4,op(e2,e2)) != op(e4,e4)
| op(op(e2,e2),op(e2,e2)) != op(e4,op(e2,e2))
| op(op(e2,e2),op(e2,e2)) = op(e4,e4) ),
inference(subst,[],[refute_10_16:[bind(X,$fot(op(op(e2,e2),op(e2,e2)))),bind(Y,$fot(op(e4,op(e2,e2)))),bind(Z,$fot(op(e4,e4)))]]) ).
cnf(refute_10_18,plain,
( op(e4,op(e2,e2)) != op(e4,e4)
| op(op(e2,e2),op(e2,e2)) = op(e4,e4) ),
inference(resolve,[$cnf( $equal(op(op(e2,e2),op(e2,e2)),op(e4,op(e2,e2))) )],[refute_10_14,refute_10_17]) ).
cnf(refute_10_19,plain,
op(op(e2,e2),op(e2,e2)) = op(e4,e4),
inference(resolve,[$cnf( $equal(op(e4,op(e2,e2)),op(e4,e4)) )],[refute_10_10,refute_10_18]) ).
cnf(refute_10_20,plain,
( e0 != op(op(e2,e2),op(e2,e2))
| op(op(e2,e2),op(e2,e2)) != op(e4,e4)
| e0 = op(e4,e4) ),
introduced(tautology,[equality,[$cnf( ~ $equal(e0,op(e4,e4)) ),[0],$fot(op(op(e2,e2),op(e2,e2)))]]) ).
cnf(refute_10_21,plain,
( e0 != op(op(e2,e2),op(e2,e2))
| e0 = op(e4,e4) ),
inference(resolve,[$cnf( $equal(op(op(e2,e2),op(e2,e2)),op(e4,e4)) )],[refute_10_19,refute_10_20]) ).
cnf(refute_10_22,plain,
e0 = op(e4,e4),
inference(resolve,[$cnf( $equal(e0,op(op(e2,e2),op(e2,e2))) )],[refute_10_0,refute_10_21]) ).
cnf(refute_10_23,plain,
op(e1,unit) = e1,
inference(canonicalize,[],[normalize_10_4]) ).
cnf(refute_10_24,plain,
op(e0,e2) != op(e2,e0),
inference(canonicalize,[],[normalize_10_6]) ).
cnf(refute_10_25,plain,
op(unit,e2) = e2,
inference(canonicalize,[],[normalize_10_7]) ).
cnf(refute_10_26,plain,
op(unit,e4) = e4,
inference(canonicalize,[],[normalize_10_8]) ).
cnf(refute_10_27,plain,
( unit = e0
| unit = e1
| unit = e2
| unit = e3
| unit = e4 ),
inference(canonicalize,[],[normalize_10_9]) ).
cnf(refute_10_28,plain,
( op(unit,e4) != e4
| unit != e2
| op(e2,e4) = e4 ),
introduced(tautology,[equality,[$cnf( $equal(op(unit,e4),e4) ),[0,0],$fot(e2)]]) ).
cnf(refute_10_29,plain,
( op(unit,e4) != e4
| op(e2,e4) = e4
| unit = e0
| unit = e1
| unit = e3
| unit = e4 ),
inference(resolve,[$cnf( $equal(unit,e2) )],[refute_10_27,refute_10_28]) ).
cnf(refute_10_30,plain,
( op(e2,e4) = e4
| unit = e0
| unit = e1
| unit = e3
| unit = e4 ),
inference(resolve,[$cnf( $equal(op(unit,e4),e4) )],[refute_10_26,refute_10_29]) ).
cnf(refute_10_31,plain,
e3 = op(e2,op(e2,e2)),
inference(canonicalize,[],[normalize_10_10]) ).
cnf(refute_10_32,plain,
op(e2,op(e2,e2)) = op(e2,op(e2,e2)),
introduced(tautology,[refl,[$fot(op(e2,op(e2,e2)))]]) ).
cnf(refute_10_33,plain,
( op(e2,e2) != e4
| op(e2,op(e2,e2)) != op(e2,op(e2,e2))
| op(e2,op(e2,e2)) = op(e2,e4) ),
introduced(tautology,[equality,[$cnf( $equal(op(e2,op(e2,e2)),op(e2,op(e2,e2))) ),[1,1],$fot(e4)]]) ).
cnf(refute_10_34,plain,
( op(e2,e2) != e4
| op(e2,op(e2,e2)) = op(e2,e4) ),
inference(resolve,[$cnf( $equal(op(e2,op(e2,e2)),op(e2,op(e2,e2))) )],[refute_10_32,refute_10_33]) ).
cnf(refute_10_35,plain,
op(e2,op(e2,e2)) = op(e2,e4),
inference(resolve,[$cnf( $equal(op(e2,e2),e4) )],[refute_10_6,refute_10_34]) ).
cnf(refute_10_36,plain,
( e3 != op(e2,op(e2,e2))
| op(e2,op(e2,e2)) != op(e2,e4)
| e3 = op(e2,e4) ),
introduced(tautology,[equality,[$cnf( ~ $equal(e3,op(e2,e4)) ),[0],$fot(op(e2,op(e2,e2)))]]) ).
cnf(refute_10_37,plain,
( e3 != op(e2,op(e2,e2))
| e3 = op(e2,e4) ),
inference(resolve,[$cnf( $equal(op(e2,op(e2,e2)),op(e2,e4)) )],[refute_10_35,refute_10_36]) ).
cnf(refute_10_38,plain,
e3 = op(e2,e4),
inference(resolve,[$cnf( $equal(e3,op(e2,op(e2,e2))) )],[refute_10_31,refute_10_37]) ).
cnf(refute_10_39,plain,
( e3 != op(e2,e4)
| op(e2,e4) = e3 ),
inference(subst,[],[refute_10_4:[bind(X,$fot(e3)),bind(Y,$fot(op(e2,e4)))]]) ).
cnf(refute_10_40,plain,
op(e2,e4) = e3,
inference(resolve,[$cnf( $equal(e3,op(e2,e4)) )],[refute_10_38,refute_10_39]) ).
cnf(refute_10_41,plain,
( op(e2,e4) != e3
| op(e2,e4) != e4
| e3 = e4 ),
introduced(tautology,[equality,[$cnf( $equal(op(e2,e4),e4) ),[0],$fot(e3)]]) ).
cnf(refute_10_42,plain,
( op(e2,e4) != e4
| e3 = e4 ),
inference(resolve,[$cnf( $equal(op(e2,e4),e3) )],[refute_10_40,refute_10_41]) ).
cnf(refute_10_43,plain,
( e3 = e4
| unit = e0
| unit = e1
| unit = e3
| unit = e4 ),
inference(resolve,[$cnf( $equal(op(e2,e4),e4) )],[refute_10_30,refute_10_42]) ).
cnf(refute_10_44,plain,
e3 != e4,
inference(canonicalize,[],[normalize_10_12]) ).
cnf(refute_10_45,plain,
( unit = e0
| unit = e1
| unit = e3
| unit = e4 ),
inference(resolve,[$cnf( $equal(e3,e4) )],[refute_10_43,refute_10_44]) ).
cnf(refute_10_46,plain,
( op(unit,e4) != e4
| unit != e3
| op(e3,e4) = e4 ),
introduced(tautology,[equality,[$cnf( $equal(op(unit,e4),e4) ),[0,0],$fot(e3)]]) ).
cnf(refute_10_47,plain,
( op(unit,e4) != e4
| op(e3,e4) = e4
| unit = e0
| unit = e1
| unit = e4 ),
inference(resolve,[$cnf( $equal(unit,e3) )],[refute_10_45,refute_10_46]) ).
cnf(refute_10_48,plain,
( op(e3,e4) = e4
| unit = e0
| unit = e1
| unit = e4 ),
inference(resolve,[$cnf( $equal(op(unit,e4),e4) )],[refute_10_26,refute_10_47]) ).
cnf(refute_10_49,plain,
e1 = op(op(e2,op(e2,e2)),op(e2,e2)),
inference(canonicalize,[],[normalize_10_13]) ).
cnf(refute_10_50,plain,
op(e3,op(e2,e2)) = op(e3,op(e2,e2)),
introduced(tautology,[refl,[$fot(op(e3,op(e2,e2)))]]) ).
cnf(refute_10_51,plain,
( op(e2,e2) != e4
| op(e3,op(e2,e2)) != op(e3,op(e2,e2))
| op(e3,op(e2,e2)) = op(e3,e4) ),
introduced(tautology,[equality,[$cnf( $equal(op(e3,op(e2,e2)),op(e3,op(e2,e2))) ),[1,1],$fot(e4)]]) ).
cnf(refute_10_52,plain,
( op(e2,e2) != e4
| op(e3,op(e2,e2)) = op(e3,e4) ),
inference(resolve,[$cnf( $equal(op(e3,op(e2,e2)),op(e3,op(e2,e2))) )],[refute_10_50,refute_10_51]) ).
cnf(refute_10_53,plain,
op(e3,op(e2,e2)) = op(e3,e4),
inference(resolve,[$cnf( $equal(op(e2,e2),e4) )],[refute_10_6,refute_10_52]) ).
cnf(refute_10_54,plain,
( e3 != op(e2,op(e2,e2))
| op(e2,op(e2,e2)) = e3 ),
inference(subst,[],[refute_10_4:[bind(X,$fot(e3)),bind(Y,$fot(op(e2,op(e2,e2))))]]) ).
cnf(refute_10_55,plain,
op(e2,op(e2,e2)) = e3,
inference(resolve,[$cnf( $equal(e3,op(e2,op(e2,e2))) )],[refute_10_31,refute_10_54]) ).
cnf(refute_10_56,plain,
op(op(e2,op(e2,e2)),op(e2,e2)) = op(op(e2,op(e2,e2)),op(e2,e2)),
introduced(tautology,[refl,[$fot(op(op(e2,op(e2,e2)),op(e2,e2)))]]) ).
cnf(refute_10_57,plain,
( op(e2,op(e2,e2)) != e3
| op(op(e2,op(e2,e2)),op(e2,e2)) != op(op(e2,op(e2,e2)),op(e2,e2))
| op(op(e2,op(e2,e2)),op(e2,e2)) = op(e3,op(e2,e2)) ),
introduced(tautology,[equality,[$cnf( $equal(op(op(e2,op(e2,e2)),op(e2,e2)),op(op(e2,op(e2,e2)),op(e2,e2))) ),[1,0],$fot(e3)]]) ).
cnf(refute_10_58,plain,
( op(e2,op(e2,e2)) != e3
| op(op(e2,op(e2,e2)),op(e2,e2)) = op(e3,op(e2,e2)) ),
inference(resolve,[$cnf( $equal(op(op(e2,op(e2,e2)),op(e2,e2)),op(op(e2,op(e2,e2)),op(e2,e2))) )],[refute_10_56,refute_10_57]) ).
cnf(refute_10_59,plain,
op(op(e2,op(e2,e2)),op(e2,e2)) = op(e3,op(e2,e2)),
inference(resolve,[$cnf( $equal(op(e2,op(e2,e2)),e3) )],[refute_10_55,refute_10_58]) ).
cnf(refute_10_60,plain,
( op(e3,op(e2,e2)) != op(e3,e4)
| op(op(e2,op(e2,e2)),op(e2,e2)) != op(e3,op(e2,e2))
| op(op(e2,op(e2,e2)),op(e2,e2)) = op(e3,e4) ),
inference(subst,[],[refute_10_16:[bind(X,$fot(op(op(e2,op(e2,e2)),op(e2,e2)))),bind(Y,$fot(op(e3,op(e2,e2)))),bind(Z,$fot(op(e3,e4)))]]) ).
cnf(refute_10_61,plain,
( op(e3,op(e2,e2)) != op(e3,e4)
| op(op(e2,op(e2,e2)),op(e2,e2)) = op(e3,e4) ),
inference(resolve,[$cnf( $equal(op(op(e2,op(e2,e2)),op(e2,e2)),op(e3,op(e2,e2))) )],[refute_10_59,refute_10_60]) ).
cnf(refute_10_62,plain,
op(op(e2,op(e2,e2)),op(e2,e2)) = op(e3,e4),
inference(resolve,[$cnf( $equal(op(e3,op(e2,e2)),op(e3,e4)) )],[refute_10_53,refute_10_61]) ).
cnf(refute_10_63,plain,
( e1 != op(op(e2,op(e2,e2)),op(e2,e2))
| op(op(e2,op(e2,e2)),op(e2,e2)) != op(e3,e4)
| e1 = op(e3,e4) ),
introduced(tautology,[equality,[$cnf( ~ $equal(e1,op(e3,e4)) ),[0],$fot(op(op(e2,op(e2,e2)),op(e2,e2)))]]) ).
cnf(refute_10_64,plain,
( e1 != op(op(e2,op(e2,e2)),op(e2,e2))
| e1 = op(e3,e4) ),
inference(resolve,[$cnf( $equal(op(op(e2,op(e2,e2)),op(e2,e2)),op(e3,e4)) )],[refute_10_62,refute_10_63]) ).
cnf(refute_10_65,plain,
e1 = op(e3,e4),
inference(resolve,[$cnf( $equal(e1,op(op(e2,op(e2,e2)),op(e2,e2))) )],[refute_10_49,refute_10_64]) ).
cnf(refute_10_66,plain,
( e1 != op(e3,e4)
| op(e3,e4) = e1 ),
inference(subst,[],[refute_10_4:[bind(X,$fot(e1)),bind(Y,$fot(op(e3,e4)))]]) ).
cnf(refute_10_67,plain,
op(e3,e4) = e1,
inference(resolve,[$cnf( $equal(e1,op(e3,e4)) )],[refute_10_65,refute_10_66]) ).
cnf(refute_10_68,plain,
( op(e3,e4) != e1
| op(e3,e4) != e4
| e1 = e4 ),
introduced(tautology,[equality,[$cnf( $equal(op(e3,e4),e4) ),[0],$fot(e1)]]) ).
cnf(refute_10_69,plain,
( op(e3,e4) != e4
| e1 = e4 ),
inference(resolve,[$cnf( $equal(op(e3,e4),e1) )],[refute_10_67,refute_10_68]) ).
cnf(refute_10_70,plain,
( e1 = e4
| unit = e0
| unit = e1
| unit = e4 ),
inference(resolve,[$cnf( $equal(op(e3,e4),e4) )],[refute_10_48,refute_10_69]) ).
cnf(refute_10_71,plain,
e1 != e4,
inference(canonicalize,[],[normalize_10_14]) ).
cnf(refute_10_72,plain,
( unit = e0
| unit = e1
| unit = e4 ),
inference(resolve,[$cnf( $equal(e1,e4) )],[refute_10_70,refute_10_71]) ).
cnf(refute_10_73,plain,
( op(unit,e4) != e4
| unit != e4
| op(e4,e4) = e4 ),
introduced(tautology,[equality,[$cnf( $equal(op(unit,e4),e4) ),[0,0],$fot(e4)]]) ).
cnf(refute_10_74,plain,
( op(unit,e4) != e4
| op(e4,e4) = e4
| unit = e0
| unit = e1 ),
inference(resolve,[$cnf( $equal(unit,e4) )],[refute_10_72,refute_10_73]) ).
cnf(refute_10_75,plain,
( op(e4,e4) = e4
| unit = e0
| unit = e1 ),
inference(resolve,[$cnf( $equal(op(unit,e4),e4) )],[refute_10_26,refute_10_74]) ).
cnf(refute_10_76,plain,
( e0 != op(e4,e4)
| op(e4,e4) = e0 ),
inference(subst,[],[refute_10_4:[bind(X,$fot(e0)),bind(Y,$fot(op(e4,e4)))]]) ).
cnf(refute_10_77,plain,
op(e4,e4) = e0,
inference(resolve,[$cnf( $equal(e0,op(e4,e4)) )],[refute_10_22,refute_10_76]) ).
cnf(refute_10_78,plain,
( op(e4,e4) != e0
| op(e4,e4) != e4
| e0 = e4 ),
introduced(tautology,[equality,[$cnf( $equal(op(e4,e4),e4) ),[0],$fot(e0)]]) ).
cnf(refute_10_79,plain,
( op(e4,e4) != e4
| e0 = e4 ),
inference(resolve,[$cnf( $equal(op(e4,e4),e0) )],[refute_10_77,refute_10_78]) ).
cnf(refute_10_80,plain,
( e0 = e4
| unit = e0
| unit = e1 ),
inference(resolve,[$cnf( $equal(op(e4,e4),e4) )],[refute_10_75,refute_10_79]) ).
cnf(refute_10_81,plain,
e0 != e4,
inference(canonicalize,[],[normalize_10_15]) ).
cnf(refute_10_82,plain,
( unit = e0
| unit = e1 ),
inference(resolve,[$cnf( $equal(e0,e4) )],[refute_10_80,refute_10_81]) ).
cnf(refute_10_83,plain,
( op(unit,e2) != e2
| unit != e0
| op(e0,e2) = e2 ),
introduced(tautology,[equality,[$cnf( $equal(op(unit,e2),e2) ),[0,0],$fot(e0)]]) ).
cnf(refute_10_84,plain,
( op(unit,e2) != e2
| op(e0,e2) = e2
| unit = e1 ),
inference(resolve,[$cnf( $equal(unit,e0) )],[refute_10_82,refute_10_83]) ).
cnf(refute_10_85,plain,
( op(e0,e2) = e2
| unit = e1 ),
inference(resolve,[$cnf( $equal(op(unit,e2),e2) )],[refute_10_25,refute_10_84]) ).
cnf(refute_10_86,plain,
( e2 != op(e2,e0)
| op(e0,e2) != e2
| op(e0,e2) = op(e2,e0) ),
introduced(tautology,[equality,[$cnf( $equal(op(e0,e2),e2) ),[1],$fot(op(e2,e0))]]) ).
cnf(refute_10_87,plain,
( e2 != op(e2,e0)
| op(e0,e2) = op(e2,e0)
| unit = e1 ),
inference(resolve,[$cnf( $equal(op(e0,e2),e2) )],[refute_10_85,refute_10_86]) ).
cnf(refute_10_88,plain,
( e2 != op(e2,e0)
| unit = e1 ),
inference(resolve,[$cnf( $equal(op(e0,e2),op(e2,e0)) )],[refute_10_87,refute_10_24]) ).
cnf(refute_10_89,plain,
op(e2,unit) = e2,
inference(canonicalize,[],[normalize_10_16]) ).
cnf(refute_10_90,plain,
( op(e2,unit) != e2
| unit != e0
| op(e2,e0) = e2 ),
introduced(tautology,[equality,[$cnf( $equal(op(e2,unit),e2) ),[0,1],$fot(e0)]]) ).
cnf(refute_10_91,plain,
( op(e2,unit) != e2
| op(e2,e0) = e2
| unit = e1 ),
inference(resolve,[$cnf( $equal(unit,e0) )],[refute_10_82,refute_10_90]) ).
cnf(refute_10_92,plain,
( op(e2,e0) = e2
| unit = e1 ),
inference(resolve,[$cnf( $equal(op(e2,unit),e2) )],[refute_10_89,refute_10_91]) ).
cnf(refute_10_93,plain,
( e2 != e2
| op(e2,e0) != e2
| e2 = op(e2,e0) ),
introduced(tautology,[equality,[$cnf( ~ $equal(e2,op(e2,e0)) ),[1],$fot(e2)]]) ).
cnf(refute_10_94,plain,
( e2 != e2
| e2 = op(e2,e0)
| unit = e1 ),
inference(resolve,[$cnf( $equal(op(e2,e0),e2) )],[refute_10_92,refute_10_93]) ).
cnf(refute_10_95,plain,
( e2 != e2
| unit = e1 ),
inference(resolve,[$cnf( $equal(e2,op(e2,e0)) )],[refute_10_94,refute_10_88]) ).
cnf(refute_10_96,plain,
e2 = e2,
introduced(tautology,[refl,[$fot(e2)]]) ).
cnf(refute_10_97,plain,
unit = e1,
inference(resolve,[$cnf( $equal(e2,e2) )],[refute_10_96,refute_10_95]) ).
cnf(refute_10_98,plain,
op(e1,unit) = op(e1,unit),
introduced(tautology,[refl,[$fot(op(e1,unit))]]) ).
cnf(refute_10_99,plain,
( op(e1,unit) != op(e1,unit)
| unit != e1
| op(e1,unit) = op(e1,e1) ),
introduced(tautology,[equality,[$cnf( $equal(op(e1,unit),op(e1,unit)) ),[1,1],$fot(e1)]]) ).
cnf(refute_10_100,plain,
( unit != e1
| op(e1,unit) = op(e1,e1) ),
inference(resolve,[$cnf( $equal(op(e1,unit),op(e1,unit)) )],[refute_10_98,refute_10_99]) ).
cnf(refute_10_101,plain,
op(e1,unit) = op(e1,e1),
inference(resolve,[$cnf( $equal(unit,e1) )],[refute_10_97,refute_10_100]) ).
cnf(refute_10_102,plain,
( op(e1,unit) != e1
| op(e1,unit) != op(e1,e1)
| op(e1,e1) = e1 ),
introduced(tautology,[equality,[$cnf( $equal(op(e1,unit),e1) ),[0],$fot(op(e1,e1))]]) ).
cnf(refute_10_103,plain,
( op(e1,unit) != e1
| op(e1,e1) = e1 ),
inference(resolve,[$cnf( $equal(op(e1,unit),op(e1,e1)) )],[refute_10_101,refute_10_102]) ).
cnf(refute_10_104,plain,
op(e1,e1) = e1,
inference(resolve,[$cnf( $equal(op(e1,unit),e1) )],[refute_10_23,refute_10_103]) ).
cnf(refute_10_105,plain,
( op(e2,e0) = e0
| op(e2,e0) = e1
| op(e2,e0) = e2
| op(e2,e0) = e3
| op(e2,e0) = e4 ),
inference(canonicalize,[],[normalize_10_18]) ).
cnf(refute_10_106,plain,
op(e2,e0) != op(e2,e2),
inference(canonicalize,[],[normalize_10_20]) ).
cnf(refute_10_107,plain,
( op(e2,e0) != e4
| op(e2,e2) != e4
| op(e2,e0) = op(e2,e2) ),
introduced(tautology,[equality,[$cnf( ~ $equal(op(e2,e0),op(e2,e2)) ),[1],$fot(e4)]]) ).
cnf(refute_10_108,plain,
( op(e2,e0) != e4
| op(e2,e0) = op(e2,e2) ),
inference(resolve,[$cnf( $equal(op(e2,e2),e4) )],[refute_10_6,refute_10_107]) ).
cnf(refute_10_109,plain,
op(e2,e0) != e4,
inference(resolve,[$cnf( $equal(op(e2,e0),op(e2,e2)) )],[refute_10_108,refute_10_106]) ).
cnf(refute_10_110,plain,
( op(e2,e0) = e0
| op(e2,e0) = e1
| op(e2,e0) = e2
| op(e2,e0) = e3 ),
inference(resolve,[$cnf( $equal(op(e2,e0),e4) )],[refute_10_105,refute_10_109]) ).
cnf(refute_10_111,plain,
op(e1,e0) != op(e2,e0),
inference(canonicalize,[],[normalize_10_21]) ).
cnf(refute_10_112,plain,
op(unit,e0) = e0,
inference(canonicalize,[],[normalize_10_22]) ).
cnf(refute_10_113,plain,
op(unit,e0) = op(unit,e0),
introduced(tautology,[refl,[$fot(op(unit,e0))]]) ).
cnf(refute_10_114,plain,
( op(unit,e0) != op(unit,e0)
| unit != e1
| op(unit,e0) = op(e1,e0) ),
introduced(tautology,[equality,[$cnf( $equal(op(unit,e0),op(unit,e0)) ),[1,0],$fot(e1)]]) ).
cnf(refute_10_115,plain,
( unit != e1
| op(unit,e0) = op(e1,e0) ),
inference(resolve,[$cnf( $equal(op(unit,e0),op(unit,e0)) )],[refute_10_113,refute_10_114]) ).
cnf(refute_10_116,plain,
op(unit,e0) = op(e1,e0),
inference(resolve,[$cnf( $equal(unit,e1) )],[refute_10_97,refute_10_115]) ).
cnf(refute_10_117,plain,
( op(unit,e0) != e0
| op(unit,e0) != op(e1,e0)
| op(e1,e0) = e0 ),
introduced(tautology,[equality,[$cnf( $equal(op(unit,e0),e0) ),[0],$fot(op(e1,e0))]]) ).
cnf(refute_10_118,plain,
( op(unit,e0) != e0
| op(e1,e0) = e0 ),
inference(resolve,[$cnf( $equal(op(unit,e0),op(e1,e0)) )],[refute_10_116,refute_10_117]) ).
cnf(refute_10_119,plain,
op(e1,e0) = e0,
inference(resolve,[$cnf( $equal(op(unit,e0),e0) )],[refute_10_112,refute_10_118]) ).
cnf(refute_10_120,plain,
( e0 != op(e2,e0)
| op(e1,e0) != e0
| op(e1,e0) = op(e2,e0) ),
introduced(tautology,[equality,[$cnf( $equal(op(e1,e0),e0) ),[1],$fot(op(e2,e0))]]) ).
cnf(refute_10_121,plain,
( e0 != op(e2,e0)
| op(e1,e0) = op(e2,e0) ),
inference(resolve,[$cnf( $equal(op(e1,e0),e0) )],[refute_10_119,refute_10_120]) ).
cnf(refute_10_122,plain,
e0 != op(e2,e0),
inference(resolve,[$cnf( $equal(op(e1,e0),op(e2,e0)) )],[refute_10_121,refute_10_111]) ).
cnf(refute_10_123,plain,
( op(e2,e0) != e0
| e0 = op(e2,e0) ),
inference(subst,[],[refute_10_4:[bind(X,$fot(op(e2,e0))),bind(Y,$fot(e0))]]) ).
cnf(refute_10_124,plain,
op(e2,e0) != e0,
inference(resolve,[$cnf( $equal(e0,op(e2,e0)) )],[refute_10_123,refute_10_122]) ).
cnf(refute_10_125,plain,
( op(e2,e0) = e1
| op(e2,e0) = e2
| op(e2,e0) = e3 ),
inference(resolve,[$cnf( $equal(op(e2,e0),e0) )],[refute_10_110,refute_10_124]) ).
cnf(refute_10_126,plain,
op(e2,e0) != op(e2,e1),
inference(canonicalize,[],[normalize_10_23]) ).
cnf(refute_10_127,plain,
op(e2,unit) = op(e2,unit),
introduced(tautology,[refl,[$fot(op(e2,unit))]]) ).
cnf(refute_10_128,plain,
( op(e2,unit) != op(e2,unit)
| unit != e1
| op(e2,unit) = op(e2,e1) ),
introduced(tautology,[equality,[$cnf( $equal(op(e2,unit),op(e2,unit)) ),[1,1],$fot(e1)]]) ).
cnf(refute_10_129,plain,
( unit != e1
| op(e2,unit) = op(e2,e1) ),
inference(resolve,[$cnf( $equal(op(e2,unit),op(e2,unit)) )],[refute_10_127,refute_10_128]) ).
cnf(refute_10_130,plain,
op(e2,unit) = op(e2,e1),
inference(resolve,[$cnf( $equal(unit,e1) )],[refute_10_97,refute_10_129]) ).
cnf(refute_10_131,plain,
( op(e2,unit) != e2
| op(e2,unit) != op(e2,e1)
| op(e2,e1) = e2 ),
introduced(tautology,[equality,[$cnf( $equal(op(e2,unit),e2) ),[0],$fot(op(e2,e1))]]) ).
cnf(refute_10_132,plain,
( op(e2,unit) != e2
| op(e2,e1) = e2 ),
inference(resolve,[$cnf( $equal(op(e2,unit),op(e2,e1)) )],[refute_10_130,refute_10_131]) ).
cnf(refute_10_133,plain,
op(e2,e1) = e2,
inference(resolve,[$cnf( $equal(op(e2,unit),e2) )],[refute_10_89,refute_10_132]) ).
cnf(refute_10_134,plain,
( op(e2,e0) != e2
| op(e2,e1) != e2
| op(e2,e0) = op(e2,e1) ),
introduced(tautology,[equality,[$cnf( ~ $equal(op(e2,e0),op(e2,e1)) ),[1],$fot(e2)]]) ).
cnf(refute_10_135,plain,
( op(e2,e0) != e2
| op(e2,e0) = op(e2,e1) ),
inference(resolve,[$cnf( $equal(op(e2,e1),e2) )],[refute_10_133,refute_10_134]) ).
cnf(refute_10_136,plain,
op(e2,e0) != e2,
inference(resolve,[$cnf( $equal(op(e2,e0),op(e2,e1)) )],[refute_10_135,refute_10_126]) ).
cnf(refute_10_137,plain,
( op(e2,e0) = e1
| op(e2,e0) = e3 ),
inference(resolve,[$cnf( $equal(op(e2,e0),e2) )],[refute_10_125,refute_10_136]) ).
cnf(refute_10_138,plain,
op(e2,e0) != op(e2,e4),
inference(canonicalize,[],[normalize_10_24]) ).
cnf(refute_10_139,plain,
( op(e2,e0) != e3
| op(e2,e4) != e3
| op(e2,e0) = op(e2,e4) ),
introduced(tautology,[equality,[$cnf( ~ $equal(op(e2,e0),op(e2,e4)) ),[1],$fot(e3)]]) ).
cnf(refute_10_140,plain,
( op(e2,e0) != e3
| op(e2,e0) = op(e2,e4) ),
inference(resolve,[$cnf( $equal(op(e2,e4),e3) )],[refute_10_40,refute_10_139]) ).
cnf(refute_10_141,plain,
op(e2,e0) != e3,
inference(resolve,[$cnf( $equal(op(e2,e0),op(e2,e4)) )],[refute_10_140,refute_10_138]) ).
cnf(refute_10_142,plain,
op(e2,e0) = e1,
inference(resolve,[$cnf( $equal(op(e2,e0),e3) )],[refute_10_137,refute_10_141]) ).
cnf(refute_10_143,plain,
op(op(e2,e0),e0) = e2,
inference(canonicalize,[],[normalize_10_25]) ).
cnf(refute_10_144,plain,
op(op(e2,e0),e0) = op(op(e2,e0),e0),
introduced(tautology,[refl,[$fot(op(op(e2,e0),e0))]]) ).
cnf(refute_10_145,plain,
( op(e2,e0) != e1
| op(op(e2,e0),e0) != op(op(e2,e0),e0)
| op(op(e2,e0),e0) = op(e1,e0) ),
introduced(tautology,[equality,[$cnf( $equal(op(op(e2,e0),e0),op(op(e2,e0),e0)) ),[1,0],$fot(e1)]]) ).
cnf(refute_10_146,plain,
( op(e2,e0) != e1
| op(op(e2,e0),e0) = op(e1,e0) ),
inference(resolve,[$cnf( $equal(op(op(e2,e0),e0),op(op(e2,e0),e0)) )],[refute_10_144,refute_10_145]) ).
cnf(refute_10_147,plain,
op(op(e2,e0),e0) = op(e1,e0),
inference(resolve,[$cnf( $equal(op(e2,e0),e1) )],[refute_10_142,refute_10_146]) ).
cnf(refute_10_148,plain,
( op(e1,e0) != e0
| op(op(e2,e0),e0) != op(e1,e0)
| op(op(e2,e0),e0) = e0 ),
inference(subst,[],[refute_10_16:[bind(X,$fot(op(op(e2,e0),e0))),bind(Y,$fot(op(e1,e0))),bind(Z,$fot(e0))]]) ).
cnf(refute_10_149,plain,
( op(e1,e0) != e0
| op(op(e2,e0),e0) = e0 ),
inference(resolve,[$cnf( $equal(op(op(e2,e0),e0),op(e1,e0)) )],[refute_10_147,refute_10_148]) ).
cnf(refute_10_150,plain,
op(op(e2,e0),e0) = e0,
inference(resolve,[$cnf( $equal(op(e1,e0),e0) )],[refute_10_119,refute_10_149]) ).
cnf(refute_10_151,plain,
( op(op(e2,e0),e0) != e0
| op(op(e2,e0),e0) != e2
| e0 = e2 ),
introduced(tautology,[equality,[$cnf( $equal(op(op(e2,e0),e0),e2) ),[0],$fot(e0)]]) ).
cnf(refute_10_152,plain,
( op(op(e2,e0),e0) != e2
| e0 = e2 ),
inference(resolve,[$cnf( $equal(op(op(e2,e0),e0),e0) )],[refute_10_150,refute_10_151]) ).
cnf(refute_10_153,plain,
e0 = e2,
inference(resolve,[$cnf( $equal(op(op(e2,e0),e0),e2) )],[refute_10_143,refute_10_152]) ).
cnf(refute_10_154,plain,
( e0 != e2
| e2 = e0 ),
inference(subst,[],[refute_10_4:[bind(X,$fot(e0)),bind(Y,$fot(e2))]]) ).
cnf(refute_10_155,plain,
e2 = e0,
inference(resolve,[$cnf( $equal(e0,e2) )],[refute_10_153,refute_10_154]) ).
cnf(refute_10_156,plain,
op(e2,e0) = op(e2,e0),
introduced(tautology,[refl,[$fot(op(e2,e0))]]) ).
cnf(refute_10_157,plain,
( e2 != e0
| op(e2,e0) != op(e2,e0)
| op(e2,e0) = op(e0,e0) ),
introduced(tautology,[equality,[$cnf( $equal(op(e2,e0),op(e2,e0)) ),[1,0],$fot(e0)]]) ).
cnf(refute_10_158,plain,
( e2 != e0
| op(e2,e0) = op(e0,e0) ),
inference(resolve,[$cnf( $equal(op(e2,e0),op(e2,e0)) )],[refute_10_156,refute_10_157]) ).
cnf(refute_10_159,plain,
op(e2,e0) = op(e0,e0),
inference(resolve,[$cnf( $equal(e2,e0) )],[refute_10_155,refute_10_158]) ).
cnf(refute_10_160,plain,
( op(e2,e0) != e1
| op(e2,e0) != op(e0,e0)
| op(e0,e0) = e1 ),
introduced(tautology,[equality,[$cnf( $equal(op(e2,e0),e1) ),[0],$fot(op(e0,e0))]]) ).
cnf(refute_10_161,plain,
( op(e2,e0) != e1
| op(e0,e0) = e1 ),
inference(resolve,[$cnf( $equal(op(e2,e0),op(e0,e0)) )],[refute_10_159,refute_10_160]) ).
cnf(refute_10_162,plain,
op(e0,e0) = e1,
inference(resolve,[$cnf( $equal(op(e2,e0),e1) )],[refute_10_142,refute_10_161]) ).
cnf(refute_10_163,plain,
op(e0,e2) = op(e0,e2),
introduced(tautology,[refl,[$fot(op(e0,e2))]]) ).
cnf(refute_10_164,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_10_165,plain,
( e2 != e0
| op(e0,e2) = op(e0,e0) ),
inference(resolve,[$cnf( $equal(op(e0,e2),op(e0,e2)) )],[refute_10_163,refute_10_164]) ).
cnf(refute_10_166,plain,
op(e0,e2) = op(e0,e0),
inference(resolve,[$cnf( $equal(e2,e0) )],[refute_10_155,refute_10_165]) ).
cnf(refute_10_167,plain,
op(e2,e2) = op(e2,e2),
introduced(tautology,[refl,[$fot(op(e2,e2))]]) ).
cnf(refute_10_168,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_10_169,plain,
( e2 != e0
| op(e2,e2) = op(e0,e2) ),
inference(resolve,[$cnf( $equal(op(e2,e2),op(e2,e2)) )],[refute_10_167,refute_10_168]) ).
cnf(refute_10_170,plain,
op(e2,e2) = op(e0,e2),
inference(resolve,[$cnf( $equal(e2,e0) )],[refute_10_155,refute_10_169]) ).
cnf(refute_10_171,plain,
( op(e0,e2) != op(e0,e0)
| op(e2,e2) != op(e0,e2)
| op(e2,e2) = op(e0,e0) ),
inference(subst,[],[refute_10_16:[bind(X,$fot(op(e2,e2))),bind(Y,$fot(op(e0,e2))),bind(Z,$fot(op(e0,e0)))]]) ).
cnf(refute_10_172,plain,
( op(e0,e2) != op(e0,e0)
| op(e2,e2) = op(e0,e0) ),
inference(resolve,[$cnf( $equal(op(e2,e2),op(e0,e2)) )],[refute_10_170,refute_10_171]) ).
cnf(refute_10_173,plain,
op(e2,e2) = op(e0,e0),
inference(resolve,[$cnf( $equal(op(e0,e2),op(e0,e0)) )],[refute_10_166,refute_10_172]) ).
cnf(refute_10_174,plain,
( op(e0,e0) != e1
| op(e2,e2) != op(e0,e0)
| op(e2,e2) = e1 ),
inference(subst,[],[refute_10_16:[bind(X,$fot(op(e2,e2))),bind(Y,$fot(op(e0,e0))),bind(Z,$fot(e1))]]) ).
cnf(refute_10_175,plain,
( op(e0,e0) != e1
| op(e2,e2) = e1 ),
inference(resolve,[$cnf( $equal(op(e2,e2),op(e0,e0)) )],[refute_10_173,refute_10_174]) ).
cnf(refute_10_176,plain,
op(e2,e2) = e1,
inference(resolve,[$cnf( $equal(op(e0,e0),e1) )],[refute_10_162,refute_10_175]) ).
cnf(refute_10_177,plain,
( e4 != op(e2,e2)
| op(e2,e2) != e1
| e4 = e1 ),
introduced(tautology,[equality,[$cnf( ~ $equal(e4,e1) ),[0],$fot(op(e2,e2))]]) ).
cnf(refute_10_178,plain,
( e4 != op(e2,e2)
| e4 = e1 ),
inference(resolve,[$cnf( $equal(op(e2,e2),e1) )],[refute_10_176,refute_10_177]) ).
cnf(refute_10_179,plain,
e4 = e1,
inference(resolve,[$cnf( $equal(e4,op(e2,e2)) )],[refute_10_1,refute_10_178]) ).
cnf(refute_10_180,plain,
op(e1,e4) = op(e1,e4),
introduced(tautology,[refl,[$fot(op(e1,e4))]]) ).
cnf(refute_10_181,plain,
( e4 != e1
| op(e1,e4) != op(e1,e4)
| op(e1,e4) = op(e1,e1) ),
introduced(tautology,[equality,[$cnf( $equal(op(e1,e4),op(e1,e4)) ),[1,1],$fot(e1)]]) ).
cnf(refute_10_182,plain,
( e4 != e1
| op(e1,e4) = op(e1,e1) ),
inference(resolve,[$cnf( $equal(op(e1,e4),op(e1,e4)) )],[refute_10_180,refute_10_181]) ).
cnf(refute_10_183,plain,
op(e1,e4) = op(e1,e1),
inference(resolve,[$cnf( $equal(e4,e1) )],[refute_10_179,refute_10_182]) ).
cnf(refute_10_184,plain,
op(e4,e4) = op(e4,e4),
introduced(tautology,[refl,[$fot(op(e4,e4))]]) ).
cnf(refute_10_185,plain,
( e4 != e1
| op(e4,e4) != op(e4,e4)
| op(e4,e4) = op(e1,e4) ),
introduced(tautology,[equality,[$cnf( $equal(op(e4,e4),op(e4,e4)) ),[1,0],$fot(e1)]]) ).
cnf(refute_10_186,plain,
( e4 != e1
| op(e4,e4) = op(e1,e4) ),
inference(resolve,[$cnf( $equal(op(e4,e4),op(e4,e4)) )],[refute_10_184,refute_10_185]) ).
cnf(refute_10_187,plain,
op(e4,e4) = op(e1,e4),
inference(resolve,[$cnf( $equal(e4,e1) )],[refute_10_179,refute_10_186]) ).
cnf(refute_10_188,plain,
( op(e1,e4) != op(e1,e1)
| op(e4,e4) != op(e1,e4)
| op(e4,e4) = op(e1,e1) ),
inference(subst,[],[refute_10_16:[bind(X,$fot(op(e4,e4))),bind(Y,$fot(op(e1,e4))),bind(Z,$fot(op(e1,e1)))]]) ).
cnf(refute_10_189,plain,
( op(e1,e4) != op(e1,e1)
| op(e4,e4) = op(e1,e1) ),
inference(resolve,[$cnf( $equal(op(e4,e4),op(e1,e4)) )],[refute_10_187,refute_10_188]) ).
cnf(refute_10_190,plain,
op(e4,e4) = op(e1,e1),
inference(resolve,[$cnf( $equal(op(e1,e4),op(e1,e1)) )],[refute_10_183,refute_10_189]) ).
cnf(refute_10_191,plain,
( op(e1,e1) != e1
| op(e4,e4) != op(e1,e1)
| op(e4,e4) = e1 ),
inference(subst,[],[refute_10_16:[bind(X,$fot(op(e4,e4))),bind(Y,$fot(op(e1,e1))),bind(Z,$fot(e1))]]) ).
cnf(refute_10_192,plain,
( op(e1,e1) != e1
| op(e4,e4) = e1 ),
inference(resolve,[$cnf( $equal(op(e4,e4),op(e1,e1)) )],[refute_10_190,refute_10_191]) ).
cnf(refute_10_193,plain,
op(e4,e4) = e1,
inference(resolve,[$cnf( $equal(op(e1,e1),e1) )],[refute_10_104,refute_10_192]) ).
cnf(refute_10_194,plain,
( e0 != op(e4,e4)
| op(e4,e4) != e1
| e0 = e1 ),
introduced(tautology,[equality,[$cnf( ~ $equal(e0,e1) ),[0],$fot(op(e4,e4))]]) ).
cnf(refute_10_195,plain,
( e0 != op(e4,e4)
| e0 = e1 ),
inference(resolve,[$cnf( $equal(op(e4,e4),e1) )],[refute_10_193,refute_10_194]) ).
cnf(refute_10_196,plain,
e0 = e1,
inference(resolve,[$cnf( $equal(e0,op(e4,e4)) )],[refute_10_22,refute_10_195]) ).
cnf(refute_10_197,plain,
e0 != e1,
inference(canonicalize,[],[normalize_10_26]) ).
cnf(refute_10_198,plain,
$false,
inference(resolve,[$cnf( $equal(e0,e1) )],[refute_10_196,refute_10_197]) ).
fof(negate_11_0,plain,
~ ( ( ( ( op(e0,op(e0,e0)) != e0
& op(e0,op(e0,e0)) = e0 )
| ( op(e1,op(e1,e0)) != e0
& op(e0,op(e1,e0)) = e1 )
| ( op(e2,op(e2,e0)) != e0
& op(e0,op(e2,e0)) = e2 )
| ( op(e3,op(e3,e0)) != e0
& op(e0,op(e3,e0)) = e3 )
| ( op(e4,op(e4,e0)) != e0
& op(e0,op(e4,e0)) = e4 ) )
& ( ( op(e0,op(e0,e1)) != e1
& op(e1,op(e0,e1)) = e0 )
| ( op(e1,op(e1,e1)) != e1
& op(e1,op(e1,e1)) = e1 )
| ( op(e2,op(e2,e1)) != e1
& op(e1,op(e2,e1)) = e2 )
| ( op(e3,op(e3,e1)) != e1
& op(e1,op(e3,e1)) = e3 )
| ( op(e4,op(e4,e1)) != e1
& op(e1,op(e4,e1)) = e4 ) )
& ( ( op(e0,op(e0,e2)) != e2
& op(e2,op(e0,e2)) = e0 )
| ( op(e1,op(e1,e2)) != e2
& op(e2,op(e1,e2)) = e1 )
| ( op(e2,op(e2,e2)) != e2
& op(e2,op(e2,e2)) = e2 )
| ( op(e3,op(e3,e2)) != e2
& op(e2,op(e3,e2)) = e3 )
| ( op(e4,op(e4,e2)) != e2
& op(e2,op(e4,e2)) = e4 ) )
& ( ( op(e0,op(e0,e3)) != e3
& op(e3,op(e0,e3)) = e0 )
| ( op(e1,op(e1,e3)) != e3
& op(e3,op(e1,e3)) = e1 )
| ( op(e2,op(e2,e3)) != e3
& op(e3,op(e2,e3)) = e2 )
| ( op(e3,op(e3,e3)) != e3
& op(e3,op(e3,e3)) = e3 )
| ( op(e4,op(e4,e3)) != e3
& op(e3,op(e4,e3)) = e4 ) )
& ( ( op(e0,op(e0,e4)) != e4
& op(e4,op(e0,e4)) = e0 )
| ( op(e1,op(e1,e4)) != e4
& op(e4,op(e1,e4)) = e1 )
| ( op(e2,op(e2,e4)) != e4
& op(e4,op(e2,e4)) = e2 )
| ( op(e3,op(e3,e4)) != e4
& op(e4,op(e3,e4)) = e3 )
| ( op(e4,op(e4,e4)) != e4
& op(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,
( e0 = op(op(e2,e2),op(e2,e2))
& e1 = op(op(e2,op(e2,e2)),op(e2,e2))
& e3 = op(e2,op(e2,e2))
& e4 = op(e2,e2) ),
inference(canonicalize,[],[ax6]) ).
fof(normalize_11_1,plain,
e1 = op(op(e2,op(e2,e2)),op(e2,e2)),
inference(conjunct,[],[normalize_11_0]) ).
fof(normalize_11_2,plain,
e4 = op(e2,e2),
inference(conjunct,[],[normalize_11_0]) ).
fof(normalize_11_3,plain,
e3 = op(e2,op(e2,e2)),
inference(conjunct,[],[normalize_11_0]) ).
fof(normalize_11_4,plain,
e0 = op(op(e2,e2),op(e2,e2)),
inference(conjunct,[],[normalize_11_0]) ).
fof(normalize_11_5,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_11_6,plain,
( op(e0,e2) = e3
| op(e1,e2) = e3
| op(e2,e2) = e3
| op(e3,e2) = e3
| op(e4,e2) = e3 ),
inference(conjunct,[],[normalize_11_5]) ).
fof(normalize_11_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_11_8,plain,
e3 != e4,
inference(conjunct,[],[normalize_11_7]) ).
fof(normalize_11_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_11_10,plain,
op(unit,e2) = e2,
inference(conjunct,[],[normalize_11_9]) ).
fof(normalize_11_11,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,op(e0,e1)) != e1
& op(e1,op(e0,e1)) = e0 )
| ( op(e2,op(e2,e1)) != e1
& op(e1,op(e2,e1)) = e2 )
| ( op(e3,op(e3,e1)) != e1
& op(e1,op(e3,e1)) = e3 )
| ( op(e4,op(e4,e1)) != e1
& op(e1,op(e4,e1)) = e4 ) )
& ( ( op(e0,op(e0,e2)) != e2
& op(e2,op(e0,e2)) = e0 )
| ( op(e1,op(e1,e2)) != e2
& op(e2,op(e1,e2)) = e1 )
| ( op(e3,op(e3,e2)) != e2
& op(e2,op(e3,e2)) = e3 )
| ( op(e4,op(e4,e2)) != e2
& op(e2,op(e4,e2)) = e4 ) )
& ( ( op(e0,op(e0,e3)) != e3
& op(e3,op(e0,e3)) = e0 )
| ( op(e1,op(e1,e3)) != e3
& op(e3,op(e1,e3)) = e1 )
| ( op(e2,op(e2,e3)) != e3
& op(e3,op(e2,e3)) = e2 )
| ( op(e4,op(e4,e3)) != e3
& op(e3,op(e4,e3)) = e4 ) )
& ( ( op(e0,op(e0,e4)) != e4
& op(e4,op(e0,e4)) = e0 )
| ( op(e1,op(e1,e4)) != e4
& op(e4,op(e1,e4)) = e1 )
| ( op(e2,op(e2,e4)) != e4
& op(e4,op(e2,e4)) = e2 )
| ( op(e3,op(e3,e4)) != e4
& op(e4,op(e3,e4)) = e3 ) )
& ( ( op(e1,op(e1,e0)) != e0
& op(e0,op(e1,e0)) = e1 )
| ( op(e2,op(e2,e0)) != e0
& op(e0,op(e2,e0)) = e2 )
| ( op(e3,op(e3,e0)) != e0
& op(e0,op(e3,e0)) = e3 )
| ( op(e4,op(e4,e0)) != e0
& op(e0,op(e4,e0)) = e4 ) ) ),
inference(canonicalize,[],[negate_11_0]) ).
fof(normalize_11_12,plain,
op(e1,e2) != op(e2,e1),
inference(conjunct,[],[normalize_11_11]) ).
fof(normalize_11_13,plain,
op(unit,e4) = e4,
inference(conjunct,[],[normalize_11_9]) ).
fof(normalize_11_14,plain,
( unit = e0
| unit = e1
| unit = e2
| unit = e3
| unit = e4 ),
inference(conjunct,[],[normalize_11_9]) ).
fof(normalize_11_15,plain,
e1 != e4,
inference(conjunct,[],[normalize_11_7]) ).
fof(normalize_11_16,plain,
e0 != e4,
inference(conjunct,[],[normalize_11_7]) ).
fof(normalize_11_17,plain,
op(e2,unit) = e2,
inference(conjunct,[],[normalize_11_9]) ).
fof(normalize_11_18,plain,
( op(e0,e2) = e1
| op(e1,e2) = e1
| op(e2,e2) = e1
| op(e3,e2) = e1
| op(e4,e2) = e1 ),
inference(conjunct,[],[normalize_11_5]) ).
fof(normalize_11_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_11_20,plain,
op(e3,e2) != op(e3,e4),
inference(conjunct,[],[normalize_11_19]) ).
fof(normalize_11_21,plain,
e1 != e2,
inference(conjunct,[],[normalize_11_7]) ).
fof(normalize_11_22,plain,
op(e1,e0) != op(e1,e2),
inference(conjunct,[],[normalize_11_19]) ).
fof(normalize_11_23,plain,
op(e1,unit) = e1,
inference(conjunct,[],[normalize_11_9]) ).
fof(normalize_11_24,plain,
e1 != e3,
inference(conjunct,[],[normalize_11_7]) ).
fof(normalize_11_25,plain,
e2 != e3,
inference(conjunct,[],[normalize_11_7]) ).
fof(normalize_11_26,plain,
op(e3,e0) != op(e3,e2),
inference(conjunct,[],[normalize_11_19]) ).
fof(normalize_11_27,plain,
op(e3,unit) = e3,
inference(conjunct,[],[normalize_11_9]) ).
fof(normalize_11_28,plain,
op(op(e2,e1),e1) = e2,
inference(conjunct,[],[normalize_11_11]) ).
fof(normalize_11_29,plain,
op(unit,e1) = e1,
inference(conjunct,[],[normalize_11_9]) ).
fof(normalize_11_30,plain,
( op(e2,e0) = e0
| op(e2,e1) = e0
| op(e2,e2) = e0
| op(e2,e3) = e0
| op(e2,e4) = e0 ),
inference(conjunct,[],[normalize_11_5]) ).
fof(normalize_11_31,plain,
e0 != e3,
inference(conjunct,[],[normalize_11_7]) ).
fof(normalize_11_32,plain,
( op(e2,e0) = e1
| op(e2,e1) = e1
| op(e2,e2) = e1
| op(e2,e3) = e1
| op(e2,e4) = e1 ),
inference(conjunct,[],[normalize_11_5]) ).
fof(normalize_11_33,plain,
e0 != e1,
inference(conjunct,[],[normalize_11_7]) ).
fof(normalize_11_34,plain,
e0 != e2,
inference(conjunct,[],[normalize_11_7]) ).
fof(normalize_11_35,plain,
op(e0,e1) != op(e2,e1),
inference(conjunct,[],[normalize_11_19]) ).
cnf(refute_11_0,plain,
e1 = op(op(e2,op(e2,e2)),op(e2,e2)),
inference(canonicalize,[],[normalize_11_1]) ).
cnf(refute_11_1,plain,
e4 = op(e2,e2),
inference(canonicalize,[],[normalize_11_2]) ).
cnf(refute_11_2,plain,
X = X,
introduced(tautology,[refl,[$fot(X)]]) ).
cnf(refute_11_3,plain,
( X != X
| X != Y
| Y = X ),
introduced(tautology,[equality,[$cnf( $equal(X,X) ),[0],$fot(Y)]]) ).
cnf(refute_11_4,plain,
( X != Y
| Y = X ),
inference(resolve,[$cnf( $equal(X,X) )],[refute_11_2,refute_11_3]) ).
cnf(refute_11_5,plain,
( e4 != op(e2,e2)
| op(e2,e2) = e4 ),
inference(subst,[],[refute_11_4:[bind(X,$fot(e4)),bind(Y,$fot(op(e2,e2)))]]) ).
cnf(refute_11_6,plain,
op(e2,e2) = e4,
inference(resolve,[$cnf( $equal(e4,op(e2,e2)) )],[refute_11_1,refute_11_5]) ).
cnf(refute_11_7,plain,
op(e3,op(e2,e2)) = op(e3,op(e2,e2)),
introduced(tautology,[refl,[$fot(op(e3,op(e2,e2)))]]) ).
cnf(refute_11_8,plain,
( op(e2,e2) != e4
| op(e3,op(e2,e2)) != op(e3,op(e2,e2))
| op(e3,op(e2,e2)) = op(e3,e4) ),
introduced(tautology,[equality,[$cnf( $equal(op(e3,op(e2,e2)),op(e3,op(e2,e2))) ),[1,1],$fot(e4)]]) ).
cnf(refute_11_9,plain,
( op(e2,e2) != e4
| op(e3,op(e2,e2)) = op(e3,e4) ),
inference(resolve,[$cnf( $equal(op(e3,op(e2,e2)),op(e3,op(e2,e2))) )],[refute_11_7,refute_11_8]) ).
cnf(refute_11_10,plain,
op(e3,op(e2,e2)) = op(e3,e4),
inference(resolve,[$cnf( $equal(op(e2,e2),e4) )],[refute_11_6,refute_11_9]) ).
cnf(refute_11_11,plain,
e3 = op(e2,op(e2,e2)),
inference(canonicalize,[],[normalize_11_3]) ).
cnf(refute_11_12,plain,
( e3 != op(e2,op(e2,e2))
| op(e2,op(e2,e2)) = e3 ),
inference(subst,[],[refute_11_4:[bind(X,$fot(e3)),bind(Y,$fot(op(e2,op(e2,e2))))]]) ).
cnf(refute_11_13,plain,
op(e2,op(e2,e2)) = e3,
inference(resolve,[$cnf( $equal(e3,op(e2,op(e2,e2))) )],[refute_11_11,refute_11_12]) ).
cnf(refute_11_14,plain,
op(op(e2,op(e2,e2)),op(e2,e2)) = op(op(e2,op(e2,e2)),op(e2,e2)),
introduced(tautology,[refl,[$fot(op(op(e2,op(e2,e2)),op(e2,e2)))]]) ).
cnf(refute_11_15,plain,
( op(e2,op(e2,e2)) != e3
| op(op(e2,op(e2,e2)),op(e2,e2)) != op(op(e2,op(e2,e2)),op(e2,e2))
| op(op(e2,op(e2,e2)),op(e2,e2)) = op(e3,op(e2,e2)) ),
introduced(tautology,[equality,[$cnf( $equal(op(op(e2,op(e2,e2)),op(e2,e2)),op(op(e2,op(e2,e2)),op(e2,e2))) ),[1,0],$fot(e3)]]) ).
cnf(refute_11_16,plain,
( op(e2,op(e2,e2)) != e3
| op(op(e2,op(e2,e2)),op(e2,e2)) = op(e3,op(e2,e2)) ),
inference(resolve,[$cnf( $equal(op(op(e2,op(e2,e2)),op(e2,e2)),op(op(e2,op(e2,e2)),op(e2,e2))) )],[refute_11_14,refute_11_15]) ).
cnf(refute_11_17,plain,
op(op(e2,op(e2,e2)),op(e2,e2)) = op(e3,op(e2,e2)),
inference(resolve,[$cnf( $equal(op(e2,op(e2,e2)),e3) )],[refute_11_13,refute_11_16]) ).
cnf(refute_11_18,plain,
( Y != X
| Y != Z
| X = Z ),
introduced(tautology,[equality,[$cnf( $equal(Y,Z) ),[0],$fot(X)]]) ).
cnf(refute_11_19,plain,
( X != Y
| Y != Z
| X = Z ),
inference(resolve,[$cnf( $equal(Y,X) )],[refute_11_4,refute_11_18]) ).
cnf(refute_11_20,plain,
( op(e3,op(e2,e2)) != op(e3,e4)
| op(op(e2,op(e2,e2)),op(e2,e2)) != op(e3,op(e2,e2))
| op(op(e2,op(e2,e2)),op(e2,e2)) = op(e3,e4) ),
inference(subst,[],[refute_11_19:[bind(X,$fot(op(op(e2,op(e2,e2)),op(e2,e2)))),bind(Y,$fot(op(e3,op(e2,e2)))),bind(Z,$fot(op(e3,e4)))]]) ).
cnf(refute_11_21,plain,
( op(e3,op(e2,e2)) != op(e3,e4)
| op(op(e2,op(e2,e2)),op(e2,e2)) = op(e3,e4) ),
inference(resolve,[$cnf( $equal(op(op(e2,op(e2,e2)),op(e2,e2)),op(e3,op(e2,e2))) )],[refute_11_17,refute_11_20]) ).
cnf(refute_11_22,plain,
op(op(e2,op(e2,e2)),op(e2,e2)) = op(e3,e4),
inference(resolve,[$cnf( $equal(op(e3,op(e2,e2)),op(e3,e4)) )],[refute_11_10,refute_11_21]) ).
cnf(refute_11_23,plain,
( e1 != op(op(e2,op(e2,e2)),op(e2,e2))
| op(op(e2,op(e2,e2)),op(e2,e2)) != op(e3,e4)
| e1 = op(e3,e4) ),
introduced(tautology,[equality,[$cnf( ~ $equal(e1,op(e3,e4)) ),[0],$fot(op(op(e2,op(e2,e2)),op(e2,e2)))]]) ).
cnf(refute_11_24,plain,
( e1 != op(op(e2,op(e2,e2)),op(e2,e2))
| e1 = op(e3,e4) ),
inference(resolve,[$cnf( $equal(op(op(e2,op(e2,e2)),op(e2,e2)),op(e3,e4)) )],[refute_11_22,refute_11_23]) ).
cnf(refute_11_25,plain,
e1 = op(e3,e4),
inference(resolve,[$cnf( $equal(e1,op(op(e2,op(e2,e2)),op(e2,e2))) )],[refute_11_0,refute_11_24]) ).
cnf(refute_11_26,plain,
e0 = op(op(e2,e2),op(e2,e2)),
inference(canonicalize,[],[normalize_11_4]) ).
cnf(refute_11_27,plain,
op(e4,op(e2,e2)) = op(e4,op(e2,e2)),
introduced(tautology,[refl,[$fot(op(e4,op(e2,e2)))]]) ).
cnf(refute_11_28,plain,
( op(e2,e2) != e4
| op(e4,op(e2,e2)) != op(e4,op(e2,e2))
| op(e4,op(e2,e2)) = op(e4,e4) ),
introduced(tautology,[equality,[$cnf( $equal(op(e4,op(e2,e2)),op(e4,op(e2,e2))) ),[1,1],$fot(e4)]]) ).
cnf(refute_11_29,plain,
( op(e2,e2) != e4
| op(e4,op(e2,e2)) = op(e4,e4) ),
inference(resolve,[$cnf( $equal(op(e4,op(e2,e2)),op(e4,op(e2,e2))) )],[refute_11_27,refute_11_28]) ).
cnf(refute_11_30,plain,
op(e4,op(e2,e2)) = op(e4,e4),
inference(resolve,[$cnf( $equal(op(e2,e2),e4) )],[refute_11_6,refute_11_29]) ).
cnf(refute_11_31,plain,
op(op(e2,e2),op(e2,e2)) = op(op(e2,e2),op(e2,e2)),
introduced(tautology,[refl,[$fot(op(op(e2,e2),op(e2,e2)))]]) ).
cnf(refute_11_32,plain,
( op(e2,e2) != e4
| op(op(e2,e2),op(e2,e2)) != op(op(e2,e2),op(e2,e2))
| op(op(e2,e2),op(e2,e2)) = op(e4,op(e2,e2)) ),
introduced(tautology,[equality,[$cnf( $equal(op(op(e2,e2),op(e2,e2)),op(op(e2,e2),op(e2,e2))) ),[1,0],$fot(e4)]]) ).
cnf(refute_11_33,plain,
( op(e2,e2) != e4
| op(op(e2,e2),op(e2,e2)) = op(e4,op(e2,e2)) ),
inference(resolve,[$cnf( $equal(op(op(e2,e2),op(e2,e2)),op(op(e2,e2),op(e2,e2))) )],[refute_11_31,refute_11_32]) ).
cnf(refute_11_34,plain,
op(op(e2,e2),op(e2,e2)) = op(e4,op(e2,e2)),
inference(resolve,[$cnf( $equal(op(e2,e2),e4) )],[refute_11_6,refute_11_33]) ).
cnf(refute_11_35,plain,
( op(e4,op(e2,e2)) != op(e4,e4)
| op(op(e2,e2),op(e2,e2)) != op(e4,op(e2,e2))
| op(op(e2,e2),op(e2,e2)) = op(e4,e4) ),
inference(subst,[],[refute_11_19:[bind(X,$fot(op(op(e2,e2),op(e2,e2)))),bind(Y,$fot(op(e4,op(e2,e2)))),bind(Z,$fot(op(e4,e4)))]]) ).
cnf(refute_11_36,plain,
( op(e4,op(e2,e2)) != op(e4,e4)
| op(op(e2,e2),op(e2,e2)) = op(e4,e4) ),
inference(resolve,[$cnf( $equal(op(op(e2,e2),op(e2,e2)),op(e4,op(e2,e2))) )],[refute_11_34,refute_11_35]) ).
cnf(refute_11_37,plain,
op(op(e2,e2),op(e2,e2)) = op(e4,e4),
inference(resolve,[$cnf( $equal(op(e4,op(e2,e2)),op(e4,e4)) )],[refute_11_30,refute_11_36]) ).
cnf(refute_11_38,plain,
( e0 != op(op(e2,e2),op(e2,e2))
| op(op(e2,e2),op(e2,e2)) != op(e4,e4)
| e0 = op(e4,e4) ),
introduced(tautology,[equality,[$cnf( ~ $equal(e0,op(e4,e4)) ),[0],$fot(op(op(e2,e2),op(e2,e2)))]]) ).
cnf(refute_11_39,plain,
( e0 != op(op(e2,e2),op(e2,e2))
| e0 = op(e4,e4) ),
inference(resolve,[$cnf( $equal(op(op(e2,e2),op(e2,e2)),op(e4,e4)) )],[refute_11_37,refute_11_38]) ).
cnf(refute_11_40,plain,
e0 = op(e4,e4),
inference(resolve,[$cnf( $equal(e0,op(op(e2,e2),op(e2,e2))) )],[refute_11_26,refute_11_39]) ).
cnf(refute_11_41,plain,
( op(e0,e2) = e3
| op(e1,e2) = e3
| op(e2,e2) = e3
| op(e3,e2) = e3
| op(e4,e2) = e3 ),
inference(canonicalize,[],[normalize_11_6]) ).
cnf(refute_11_42,plain,
( op(e2,e2) != e3
| op(e2,e2) != e4
| e4 = e3 ),
introduced(tautology,[equality,[$cnf( $equal(op(e2,e2),e3) ),[0],$fot(e4)]]) ).
cnf(refute_11_43,plain,
( op(e2,e2) != e3
| e4 = e3 ),
inference(resolve,[$cnf( $equal(op(e2,e2),e4) )],[refute_11_6,refute_11_42]) ).
cnf(refute_11_44,plain,
( e4 = e3
| op(e0,e2) = e3
| op(e1,e2) = e3
| op(e3,e2) = e3
| op(e4,e2) = e3 ),
inference(resolve,[$cnf( $equal(op(e2,e2),e3) )],[refute_11_41,refute_11_43]) ).
cnf(refute_11_45,plain,
e3 != e4,
inference(canonicalize,[],[normalize_11_8]) ).
cnf(refute_11_46,plain,
( e4 != e3
| e3 = e4 ),
inference(subst,[],[refute_11_4:[bind(X,$fot(e4)),bind(Y,$fot(e3))]]) ).
cnf(refute_11_47,plain,
e4 != e3,
inference(resolve,[$cnf( $equal(e3,e4) )],[refute_11_46,refute_11_45]) ).
cnf(refute_11_48,plain,
( op(e0,e2) = e3
| op(e1,e2) = e3
| op(e3,e2) = e3
| op(e4,e2) = e3 ),
inference(resolve,[$cnf( $equal(e4,e3) )],[refute_11_44,refute_11_47]) ).
cnf(refute_11_49,plain,
op(unit,e2) = e2,
inference(canonicalize,[],[normalize_11_10]) ).
cnf(refute_11_50,plain,
op(e1,e2) != op(e2,e1),
inference(canonicalize,[],[normalize_11_12]) ).
cnf(refute_11_51,plain,
op(unit,e4) = e4,
inference(canonicalize,[],[normalize_11_13]) ).
cnf(refute_11_52,plain,
( unit = e0
| unit = e1
| unit = e2
| unit = e3
| unit = e4 ),
inference(canonicalize,[],[normalize_11_14]) ).
cnf(refute_11_53,plain,
( op(unit,e4) != e4
| unit != e2
| op(e2,e4) = e4 ),
introduced(tautology,[equality,[$cnf( $equal(op(unit,e4),e4) ),[0,0],$fot(e2)]]) ).
cnf(refute_11_54,plain,
( op(unit,e4) != e4
| op(e2,e4) = e4
| unit = e0
| unit = e1
| unit = e3
| unit = e4 ),
inference(resolve,[$cnf( $equal(unit,e2) )],[refute_11_52,refute_11_53]) ).
cnf(refute_11_55,plain,
( op(e2,e4) = e4
| unit = e0
| unit = e1
| unit = e3
| unit = e4 ),
inference(resolve,[$cnf( $equal(op(unit,e4),e4) )],[refute_11_51,refute_11_54]) ).
cnf(refute_11_56,plain,
op(e2,op(e2,e2)) = op(e2,op(e2,e2)),
introduced(tautology,[refl,[$fot(op(e2,op(e2,e2)))]]) ).
cnf(refute_11_57,plain,
( op(e2,e2) != e4
| op(e2,op(e2,e2)) != op(e2,op(e2,e2))
| op(e2,op(e2,e2)) = op(e2,e4) ),
introduced(tautology,[equality,[$cnf( $equal(op(e2,op(e2,e2)),op(e2,op(e2,e2))) ),[1,1],$fot(e4)]]) ).
cnf(refute_11_58,plain,
( op(e2,e2) != e4
| op(e2,op(e2,e2)) = op(e2,e4) ),
inference(resolve,[$cnf( $equal(op(e2,op(e2,e2)),op(e2,op(e2,e2))) )],[refute_11_56,refute_11_57]) ).
cnf(refute_11_59,plain,
op(e2,op(e2,e2)) = op(e2,e4),
inference(resolve,[$cnf( $equal(op(e2,e2),e4) )],[refute_11_6,refute_11_58]) ).
cnf(refute_11_60,plain,
( e3 != op(e2,op(e2,e2))
| op(e2,op(e2,e2)) != op(e2,e4)
| e3 = op(e2,e4) ),
introduced(tautology,[equality,[$cnf( ~ $equal(e3,op(e2,e4)) ),[0],$fot(op(e2,op(e2,e2)))]]) ).
cnf(refute_11_61,plain,
( e3 != op(e2,op(e2,e2))
| e3 = op(e2,e4) ),
inference(resolve,[$cnf( $equal(op(e2,op(e2,e2)),op(e2,e4)) )],[refute_11_59,refute_11_60]) ).
cnf(refute_11_62,plain,
e3 = op(e2,e4),
inference(resolve,[$cnf( $equal(e3,op(e2,op(e2,e2))) )],[refute_11_11,refute_11_61]) ).
cnf(refute_11_63,plain,
( e3 != op(e2,e4)
| op(e2,e4) = e3 ),
inference(subst,[],[refute_11_4:[bind(X,$fot(e3)),bind(Y,$fot(op(e2,e4)))]]) ).
cnf(refute_11_64,plain,
op(e2,e4) = e3,
inference(resolve,[$cnf( $equal(e3,op(e2,e4)) )],[refute_11_62,refute_11_63]) ).
cnf(refute_11_65,plain,
( op(e2,e4) != e3
| op(e2,e4) != e4
| e3 = e4 ),
introduced(tautology,[equality,[$cnf( $equal(op(e2,e4),e4) ),[0],$fot(e3)]]) ).
cnf(refute_11_66,plain,
( op(e2,e4) != e4
| e3 = e4 ),
inference(resolve,[$cnf( $equal(op(e2,e4),e3) )],[refute_11_64,refute_11_65]) ).
cnf(refute_11_67,plain,
( e3 = e4
| unit = e0
| unit = e1
| unit = e3
| unit = e4 ),
inference(resolve,[$cnf( $equal(op(e2,e4),e4) )],[refute_11_55,refute_11_66]) ).
cnf(refute_11_68,plain,
( unit = e0
| unit = e1
| unit = e3
| unit = e4 ),
inference(resolve,[$cnf( $equal(e3,e4) )],[refute_11_67,refute_11_45]) ).
cnf(refute_11_69,plain,
( op(unit,e4) != e4
| unit != e3
| op(e3,e4) = e4 ),
introduced(tautology,[equality,[$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 = e1
| unit = e4 ),
inference(resolve,[$cnf( $equal(unit,e3) )],[refute_11_68,refute_11_69]) ).
cnf(refute_11_71,plain,
( op(e3,e4) = e4
| unit = e0
| unit = e1
| unit = e4 ),
inference(resolve,[$cnf( $equal(op(unit,e4),e4) )],[refute_11_51,refute_11_70]) ).
cnf(refute_11_72,plain,
( e1 != op(e3,e4)
| op(e3,e4) = e1 ),
inference(subst,[],[refute_11_4:[bind(X,$fot(e1)),bind(Y,$fot(op(e3,e4)))]]) ).
cnf(refute_11_73,plain,
op(e3,e4) = e1,
inference(resolve,[$cnf( $equal(e1,op(e3,e4)) )],[refute_11_25,refute_11_72]) ).
cnf(refute_11_74,plain,
( op(e3,e4) != e1
| op(e3,e4) != e4
| e1 = e4 ),
introduced(tautology,[equality,[$cnf( $equal(op(e3,e4),e4) ),[0],$fot(e1)]]) ).
cnf(refute_11_75,plain,
( op(e3,e4) != e4
| e1 = e4 ),
inference(resolve,[$cnf( $equal(op(e3,e4),e1) )],[refute_11_73,refute_11_74]) ).
cnf(refute_11_76,plain,
( e1 = e4
| unit = e0
| unit = e1
| unit = e4 ),
inference(resolve,[$cnf( $equal(op(e3,e4),e4) )],[refute_11_71,refute_11_75]) ).
cnf(refute_11_77,plain,
e1 != e4,
inference(canonicalize,[],[normalize_11_15]) ).
cnf(refute_11_78,plain,
( unit = e0
| unit = e1
| unit = e4 ),
inference(resolve,[$cnf( $equal(e1,e4) )],[refute_11_76,refute_11_77]) ).
cnf(refute_11_79,plain,
( op(unit,e4) != e4
| unit != e4
| op(e4,e4) = e4 ),
introduced(tautology,[equality,[$cnf( $equal(op(unit,e4),e4) ),[0,0],$fot(e4)]]) ).
cnf(refute_11_80,plain,
( op(unit,e4) != e4
| op(e4,e4) = e4
| unit = e0
| unit = e1 ),
inference(resolve,[$cnf( $equal(unit,e4) )],[refute_11_78,refute_11_79]) ).
cnf(refute_11_81,plain,
( op(e4,e4) = e4
| unit = e0
| unit = e1 ),
inference(resolve,[$cnf( $equal(op(unit,e4),e4) )],[refute_11_51,refute_11_80]) ).
cnf(refute_11_82,plain,
( e0 != op(e4,e4)
| op(e4,e4) = e0 ),
inference(subst,[],[refute_11_4:[bind(X,$fot(e0)),bind(Y,$fot(op(e4,e4)))]]) ).
cnf(refute_11_83,plain,
op(e4,e4) = e0,
inference(resolve,[$cnf( $equal(e0,op(e4,e4)) )],[refute_11_40,refute_11_82]) ).
cnf(refute_11_84,plain,
( op(e4,e4) != e0
| op(e4,e4) != e4
| e0 = e4 ),
introduced(tautology,[equality,[$cnf( $equal(op(e4,e4),e4) ),[0],$fot(e0)]]) ).
cnf(refute_11_85,plain,
( op(e4,e4) != e4
| e0 = e4 ),
inference(resolve,[$cnf( $equal(op(e4,e4),e0) )],[refute_11_83,refute_11_84]) ).
cnf(refute_11_86,plain,
( e0 = e4
| unit = e0
| unit = e1 ),
inference(resolve,[$cnf( $equal(op(e4,e4),e4) )],[refute_11_81,refute_11_85]) ).
cnf(refute_11_87,plain,
e0 != e4,
inference(canonicalize,[],[normalize_11_16]) ).
cnf(refute_11_88,plain,
( unit = e0
| unit = e1 ),
inference(resolve,[$cnf( $equal(e0,e4) )],[refute_11_86,refute_11_87]) ).
cnf(refute_11_89,plain,
( op(unit,e2) != e2
| unit != e1
| op(e1,e2) = e2 ),
introduced(tautology,[equality,[$cnf( $equal(op(unit,e2),e2) ),[0,0],$fot(e1)]]) ).
cnf(refute_11_90,plain,
( op(unit,e2) != e2
| op(e1,e2) = e2
| unit = e0 ),
inference(resolve,[$cnf( $equal(unit,e1) )],[refute_11_88,refute_11_89]) ).
cnf(refute_11_91,plain,
( op(e1,e2) = e2
| unit = e0 ),
inference(resolve,[$cnf( $equal(op(unit,e2),e2) )],[refute_11_49,refute_11_90]) ).
cnf(refute_11_92,plain,
( e2 != op(e2,e1)
| op(e1,e2) != e2
| op(e1,e2) = op(e2,e1) ),
introduced(tautology,[equality,[$cnf( $equal(op(e1,e2),e2) ),[1],$fot(op(e2,e1))]]) ).
cnf(refute_11_93,plain,
( e2 != op(e2,e1)
| op(e1,e2) = op(e2,e1)
| unit = e0 ),
inference(resolve,[$cnf( $equal(op(e1,e2),e2) )],[refute_11_91,refute_11_92]) ).
cnf(refute_11_94,plain,
( e2 != op(e2,e1)
| unit = e0 ),
inference(resolve,[$cnf( $equal(op(e1,e2),op(e2,e1)) )],[refute_11_93,refute_11_50]) ).
cnf(refute_11_95,plain,
op(e2,unit) = e2,
inference(canonicalize,[],[normalize_11_17]) ).
cnf(refute_11_96,plain,
( op(e2,unit) != e2
| unit != e1
| op(e2,e1) = e2 ),
introduced(tautology,[equality,[$cnf( $equal(op(e2,unit),e2) ),[0,1],$fot(e1)]]) ).
cnf(refute_11_97,plain,
( op(e2,unit) != e2
| op(e2,e1) = e2
| unit = e0 ),
inference(resolve,[$cnf( $equal(unit,e1) )],[refute_11_88,refute_11_96]) ).
cnf(refute_11_98,plain,
( op(e2,e1) = e2
| unit = e0 ),
inference(resolve,[$cnf( $equal(op(e2,unit),e2) )],[refute_11_95,refute_11_97]) ).
cnf(refute_11_99,plain,
( e2 != e2
| op(e2,e1) != e2
| e2 = op(e2,e1) ),
introduced(tautology,[equality,[$cnf( ~ $equal(e2,op(e2,e1)) ),[1],$fot(e2)]]) ).
cnf(refute_11_100,plain,
( e2 != e2
| e2 = op(e2,e1)
| unit = e0 ),
inference(resolve,[$cnf( $equal(op(e2,e1),e2) )],[refute_11_98,refute_11_99]) ).
cnf(refute_11_101,plain,
( e2 != e2
| unit = e0 ),
inference(resolve,[$cnf( $equal(e2,op(e2,e1)) )],[refute_11_100,refute_11_94]) ).
cnf(refute_11_102,plain,
e2 = e2,
introduced(tautology,[refl,[$fot(e2)]]) ).
cnf(refute_11_103,plain,
unit = e0,
inference(resolve,[$cnf( $equal(e2,e2) )],[refute_11_102,refute_11_101]) ).
cnf(refute_11_104,plain,
op(unit,e2) = op(unit,e2),
introduced(tautology,[refl,[$fot(op(unit,e2))]]) ).
cnf(refute_11_105,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_11_106,plain,
( unit != e0
| op(unit,e2) = op(e0,e2) ),
inference(resolve,[$cnf( $equal(op(unit,e2),op(unit,e2)) )],[refute_11_104,refute_11_105]) ).
cnf(refute_11_107,plain,
op(unit,e2) = op(e0,e2),
inference(resolve,[$cnf( $equal(unit,e0) )],[refute_11_103,refute_11_106]) ).
cnf(refute_11_108,plain,
( op(unit,e2) != e2
| op(unit,e2) != op(e0,e2)
| op(e0,e2) = e2 ),
introduced(tautology,[equality,[$cnf( $equal(op(unit,e2),e2) ),[0],$fot(op(e0,e2))]]) ).
cnf(refute_11_109,plain,
( op(unit,e2) != e2
| op(e0,e2) = e2 ),
inference(resolve,[$cnf( $equal(op(unit,e2),op(e0,e2)) )],[refute_11_107,refute_11_108]) ).
cnf(refute_11_110,plain,
op(e0,e2) = e2,
inference(resolve,[$cnf( $equal(op(unit,e2),e2) )],[refute_11_49,refute_11_109]) ).
cnf(refute_11_111,plain,
( op(e0,e2) != e2
| op(e0,e2) != e3
| e2 = e3 ),
introduced(tautology,[equality,[$cnf( $equal(op(e0,e2),e3) ),[0],$fot(e2)]]) ).
cnf(refute_11_112,plain,
( op(e0,e2) != e3
| e2 = e3 ),
inference(resolve,[$cnf( $equal(op(e0,e2),e2) )],[refute_11_110,refute_11_111]) ).
cnf(refute_11_113,plain,
( e2 = e3
| op(e1,e2) = e3
| op(e3,e2) = e3
| op(e4,e2) = e3 ),
inference(resolve,[$cnf( $equal(op(e0,e2),e3) )],[refute_11_48,refute_11_112]) ).
cnf(refute_11_114,plain,
( op(e0,e2) = e1
| op(e1,e2) = e1
| op(e2,e2) = e1
| op(e3,e2) = e1
| op(e4,e2) = e1 ),
inference(canonicalize,[],[normalize_11_18]) ).
cnf(refute_11_115,plain,
( op(e2,e2) != e1
| op(e2,e2) != e4
| e4 = e1 ),
introduced(tautology,[equality,[$cnf( $equal(op(e2,e2),e1) ),[0],$fot(e4)]]) ).
cnf(refute_11_116,plain,
( op(e2,e2) != e1
| e4 = e1 ),
inference(resolve,[$cnf( $equal(op(e2,e2),e4) )],[refute_11_6,refute_11_115]) ).
cnf(refute_11_117,plain,
( e4 = e1
| op(e0,e2) = e1
| op(e1,e2) = e1
| op(e3,e2) = e1
| op(e4,e2) = e1 ),
inference(resolve,[$cnf( $equal(op(e2,e2),e1) )],[refute_11_114,refute_11_116]) ).
cnf(refute_11_118,plain,
( e4 != e1
| e1 = e4 ),
inference(subst,[],[refute_11_4:[bind(X,$fot(e4)),bind(Y,$fot(e1))]]) ).
cnf(refute_11_119,plain,
e4 != e1,
inference(resolve,[$cnf( $equal(e1,e4) )],[refute_11_118,refute_11_77]) ).
cnf(refute_11_120,plain,
( op(e0,e2) = e1
| op(e1,e2) = e1
| op(e3,e2) = e1
| op(e4,e2) = e1 ),
inference(resolve,[$cnf( $equal(e4,e1) )],[refute_11_117,refute_11_119]) ).
cnf(refute_11_121,plain,
op(e3,e2) != op(e3,e4),
inference(canonicalize,[],[normalize_11_20]) ).
cnf(refute_11_122,plain,
( op(e3,e2) != e1
| op(e3,e4) != e1
| op(e3,e2) = op(e3,e4) ),
introduced(tautology,[equality,[$cnf( ~ $equal(op(e3,e2),op(e3,e4)) ),[1],$fot(e1)]]) ).
cnf(refute_11_123,plain,
( op(e3,e2) != e1
| op(e3,e2) = op(e3,e4) ),
inference(resolve,[$cnf( $equal(op(e3,e4),e1) )],[refute_11_73,refute_11_122]) ).
cnf(refute_11_124,plain,
op(e3,e2) != e1,
inference(resolve,[$cnf( $equal(op(e3,e2),op(e3,e4)) )],[refute_11_123,refute_11_121]) ).
cnf(refute_11_125,plain,
( op(e0,e2) = e1
| op(e1,e2) = e1
| op(e4,e2) = e1 ),
inference(resolve,[$cnf( $equal(op(e3,e2),e1) )],[refute_11_120,refute_11_124]) ).
cnf(refute_11_126,plain,
( op(e0,e2) != e1
| op(e0,e2) != e2
| e2 = e1 ),
introduced(tautology,[equality,[$cnf( $equal(op(e0,e2),e1) ),[0],$fot(e2)]]) ).
cnf(refute_11_127,plain,
( op(e0,e2) != e1
| e2 = e1 ),
inference(resolve,[$cnf( $equal(op(e0,e2),e2) )],[refute_11_110,refute_11_126]) ).
cnf(refute_11_128,plain,
( e2 = e1
| op(e1,e2) = e1
| op(e4,e2) = e1 ),
inference(resolve,[$cnf( $equal(op(e0,e2),e1) )],[refute_11_125,refute_11_127]) ).
cnf(refute_11_129,plain,
e1 != e2,
inference(canonicalize,[],[normalize_11_21]) ).
cnf(refute_11_130,plain,
( e2 != e1
| e1 = e2 ),
inference(subst,[],[refute_11_4:[bind(X,$fot(e2)),bind(Y,$fot(e1))]]) ).
cnf(refute_11_131,plain,
e2 != e1,
inference(resolve,[$cnf( $equal(e1,e2) )],[refute_11_130,refute_11_129]) ).
cnf(refute_11_132,plain,
( op(e1,e2) = e1
| op(e4,e2) = e1 ),
inference(resolve,[$cnf( $equal(e2,e1) )],[refute_11_128,refute_11_131]) ).
cnf(refute_11_133,plain,
op(e1,e0) != op(e1,e2),
inference(canonicalize,[],[normalize_11_22]) ).
cnf(refute_11_134,plain,
op(e1,unit) = e1,
inference(canonicalize,[],[normalize_11_23]) ).
cnf(refute_11_135,plain,
op(e1,unit) = op(e1,unit),
introduced(tautology,[refl,[$fot(op(e1,unit))]]) ).
cnf(refute_11_136,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_11_137,plain,
( unit != e0
| op(e1,unit) = op(e1,e0) ),
inference(resolve,[$cnf( $equal(op(e1,unit),op(e1,unit)) )],[refute_11_135,refute_11_136]) ).
cnf(refute_11_138,plain,
op(e1,unit) = op(e1,e0),
inference(resolve,[$cnf( $equal(unit,e0) )],[refute_11_103,refute_11_137]) ).
cnf(refute_11_139,plain,
( op(e1,unit) != e1
| op(e1,unit) != op(e1,e0)
| op(e1,e0) = e1 ),
introduced(tautology,[equality,[$cnf( $equal(op(e1,unit),e1) ),[0],$fot(op(e1,e0))]]) ).
cnf(refute_11_140,plain,
( op(e1,unit) != e1
| op(e1,e0) = e1 ),
inference(resolve,[$cnf( $equal(op(e1,unit),op(e1,e0)) )],[refute_11_138,refute_11_139]) ).
cnf(refute_11_141,plain,
op(e1,e0) = e1,
inference(resolve,[$cnf( $equal(op(e1,unit),e1) )],[refute_11_134,refute_11_140]) ).
cnf(refute_11_142,plain,
( e1 != op(e1,e2)
| op(e1,e0) != e1
| op(e1,e0) = op(e1,e2) ),
introduced(tautology,[equality,[$cnf( $equal(op(e1,e0),e1) ),[1],$fot(op(e1,e2))]]) ).
cnf(refute_11_143,plain,
( e1 != op(e1,e2)
| op(e1,e0) = op(e1,e2) ),
inference(resolve,[$cnf( $equal(op(e1,e0),e1) )],[refute_11_141,refute_11_142]) ).
cnf(refute_11_144,plain,
e1 != op(e1,e2),
inference(resolve,[$cnf( $equal(op(e1,e0),op(e1,e2)) )],[refute_11_143,refute_11_133]) ).
cnf(refute_11_145,plain,
( op(e1,e2) != e1
| e1 = op(e1,e2) ),
inference(subst,[],[refute_11_4:[bind(X,$fot(op(e1,e2))),bind(Y,$fot(e1))]]) ).
cnf(refute_11_146,plain,
op(e1,e2) != e1,
inference(resolve,[$cnf( $equal(e1,op(e1,e2)) )],[refute_11_145,refute_11_144]) ).
cnf(refute_11_147,plain,
op(e4,e2) = e1,
inference(resolve,[$cnf( $equal(op(e1,e2),e1) )],[refute_11_132,refute_11_146]) ).
cnf(refute_11_148,plain,
( op(e4,e2) != e1
| op(e4,e2) != e3
| e1 = e3 ),
introduced(tautology,[equality,[$cnf( $equal(op(e4,e2),e3) ),[0],$fot(e1)]]) ).
cnf(refute_11_149,plain,
( op(e4,e2) != e3
| e1 = e3 ),
inference(resolve,[$cnf( $equal(op(e4,e2),e1) )],[refute_11_147,refute_11_148]) ).
cnf(refute_11_150,plain,
( e1 = e3
| e2 = e3
| op(e1,e2) = e3
| op(e3,e2) = e3 ),
inference(resolve,[$cnf( $equal(op(e4,e2),e3) )],[refute_11_113,refute_11_149]) ).
cnf(refute_11_151,plain,
e1 != e3,
inference(canonicalize,[],[normalize_11_24]) ).
cnf(refute_11_152,plain,
( e2 = e3
| op(e1,e2) = e3
| op(e3,e2) = e3 ),
inference(resolve,[$cnf( $equal(e1,e3) )],[refute_11_150,refute_11_151]) ).
cnf(refute_11_153,plain,
e2 != e3,
inference(canonicalize,[],[normalize_11_25]) ).
cnf(refute_11_154,plain,
( op(e1,e2) = e3
| op(e3,e2) = e3 ),
inference(resolve,[$cnf( $equal(e2,e3) )],[refute_11_152,refute_11_153]) ).
cnf(refute_11_155,plain,
op(e3,e0) != op(e3,e2),
inference(canonicalize,[],[normalize_11_26]) ).
cnf(refute_11_156,plain,
op(e3,unit) = e3,
inference(canonicalize,[],[normalize_11_27]) ).
cnf(refute_11_157,plain,
op(e3,unit) = op(e3,unit),
introduced(tautology,[refl,[$fot(op(e3,unit))]]) ).
cnf(refute_11_158,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_11_159,plain,
( unit != e0
| op(e3,unit) = op(e3,e0) ),
inference(resolve,[$cnf( $equal(op(e3,unit),op(e3,unit)) )],[refute_11_157,refute_11_158]) ).
cnf(refute_11_160,plain,
op(e3,unit) = op(e3,e0),
inference(resolve,[$cnf( $equal(unit,e0) )],[refute_11_103,refute_11_159]) ).
cnf(refute_11_161,plain,
( op(e3,unit) != e3
| op(e3,unit) != op(e3,e0)
| op(e3,e0) = e3 ),
introduced(tautology,[equality,[$cnf( $equal(op(e3,unit),e3) ),[0],$fot(op(e3,e0))]]) ).
cnf(refute_11_162,plain,
( op(e3,unit) != e3
| op(e3,e0) = e3 ),
inference(resolve,[$cnf( $equal(op(e3,unit),op(e3,e0)) )],[refute_11_160,refute_11_161]) ).
cnf(refute_11_163,plain,
op(e3,e0) = e3,
inference(resolve,[$cnf( $equal(op(e3,unit),e3) )],[refute_11_156,refute_11_162]) ).
cnf(refute_11_164,plain,
( e3 != op(e3,e2)
| op(e3,e0) != e3
| op(e3,e0) = op(e3,e2) ),
introduced(tautology,[equality,[$cnf( $equal(op(e3,e0),e3) ),[1],$fot(op(e3,e2))]]) ).
cnf(refute_11_165,plain,
( e3 != op(e3,e2)
| op(e3,e0) = op(e3,e2) ),
inference(resolve,[$cnf( $equal(op(e3,e0),e3) )],[refute_11_163,refute_11_164]) ).
cnf(refute_11_166,plain,
e3 != op(e3,e2),
inference(resolve,[$cnf( $equal(op(e3,e0),op(e3,e2)) )],[refute_11_165,refute_11_155]) ).
cnf(refute_11_167,plain,
( op(e3,e2) != e3
| e3 = op(e3,e2) ),
inference(subst,[],[refute_11_4:[bind(X,$fot(op(e3,e2))),bind(Y,$fot(e3))]]) ).
cnf(refute_11_168,plain,
op(e3,e2) != e3,
inference(resolve,[$cnf( $equal(e3,op(e3,e2)) )],[refute_11_167,refute_11_166]) ).
cnf(refute_11_169,plain,
op(e1,e2) = e3,
inference(resolve,[$cnf( $equal(op(e3,e2),e3) )],[refute_11_154,refute_11_168]) ).
cnf(refute_11_170,plain,
op(op(e2,e1),e1) = e2,
inference(canonicalize,[],[normalize_11_28]) ).
cnf(refute_11_171,plain,
op(unit,e1) = e1,
inference(canonicalize,[],[normalize_11_29]) ).
cnf(refute_11_172,plain,
op(unit,e1) = op(unit,e1),
introduced(tautology,[refl,[$fot(op(unit,e1))]]) ).
cnf(refute_11_173,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_11_174,plain,
( unit != e0
| op(unit,e1) = op(e0,e1) ),
inference(resolve,[$cnf( $equal(op(unit,e1),op(unit,e1)) )],[refute_11_172,refute_11_173]) ).
cnf(refute_11_175,plain,
op(unit,e1) = op(e0,e1),
inference(resolve,[$cnf( $equal(unit,e0) )],[refute_11_103,refute_11_174]) ).
cnf(refute_11_176,plain,
( op(unit,e1) != e1
| op(unit,e1) != op(e0,e1)
| op(e0,e1) = e1 ),
introduced(tautology,[equality,[$cnf( $equal(op(unit,e1),e1) ),[0],$fot(op(e0,e1))]]) ).
cnf(refute_11_177,plain,
( op(unit,e1) != e1
| op(e0,e1) = e1 ),
inference(resolve,[$cnf( $equal(op(unit,e1),op(e0,e1)) )],[refute_11_175,refute_11_176]) ).
cnf(refute_11_178,plain,
op(e0,e1) = e1,
inference(resolve,[$cnf( $equal(op(unit,e1),e1) )],[refute_11_171,refute_11_177]) ).
cnf(refute_11_179,plain,
( op(e2,e0) = e0
| op(e2,e1) = e0
| op(e2,e2) = e0
| op(e2,e3) = e0
| op(e2,e4) = e0 ),
inference(canonicalize,[],[normalize_11_30]) ).
cnf(refute_11_180,plain,
( op(e2,e2) != e0
| op(e2,e2) != e4
| e4 = e0 ),
introduced(tautology,[equality,[$cnf( $equal(op(e2,e2),e0) ),[0],$fot(e4)]]) ).
cnf(refute_11_181,plain,
( op(e2,e2) != e0
| e4 = e0 ),
inference(resolve,[$cnf( $equal(op(e2,e2),e4) )],[refute_11_6,refute_11_180]) ).
cnf(refute_11_182,plain,
( e4 = e0
| op(e2,e0) = e0
| op(e2,e1) = e0
| op(e2,e3) = e0
| op(e2,e4) = e0 ),
inference(resolve,[$cnf( $equal(op(e2,e2),e0) )],[refute_11_179,refute_11_181]) ).
cnf(refute_11_183,plain,
( e4 != e0
| e0 = e4 ),
inference(subst,[],[refute_11_4:[bind(X,$fot(e4)),bind(Y,$fot(e0))]]) ).
cnf(refute_11_184,plain,
e4 != e0,
inference(resolve,[$cnf( $equal(e0,e4) )],[refute_11_183,refute_11_87]) ).
cnf(refute_11_185,plain,
( op(e2,e0) = e0
| op(e2,e1) = e0
| op(e2,e3) = e0
| op(e2,e4) = e0 ),
inference(resolve,[$cnf( $equal(e4,e0) )],[refute_11_182,refute_11_184]) ).
cnf(refute_11_186,plain,
( op(e2,e4) != e0
| op(e2,e4) != e3
| e3 = e0 ),
introduced(tautology,[equality,[$cnf( $equal(op(e2,e4),e0) ),[0],$fot(e3)]]) ).
cnf(refute_11_187,plain,
( op(e2,e4) != e0
| e3 = e0 ),
inference(resolve,[$cnf( $equal(op(e2,e4),e3) )],[refute_11_64,refute_11_186]) ).
cnf(refute_11_188,plain,
( e3 = e0
| op(e2,e0) = e0
| op(e2,e1) = e0
| op(e2,e3) = e0 ),
inference(resolve,[$cnf( $equal(op(e2,e4),e0) )],[refute_11_185,refute_11_187]) ).
cnf(refute_11_189,plain,
e0 != e3,
inference(canonicalize,[],[normalize_11_31]) ).
cnf(refute_11_190,plain,
( e3 != e0
| e0 = e3 ),
inference(subst,[],[refute_11_4:[bind(X,$fot(e3)),bind(Y,$fot(e0))]]) ).
cnf(refute_11_191,plain,
e3 != e0,
inference(resolve,[$cnf( $equal(e0,e3) )],[refute_11_190,refute_11_189]) ).
cnf(refute_11_192,plain,
( op(e2,e0) = e0
| op(e2,e1) = e0
| op(e2,e3) = e0 ),
inference(resolve,[$cnf( $equal(e3,e0) )],[refute_11_188,refute_11_191]) ).
cnf(refute_11_193,plain,
( op(e2,e0) = e1
| op(e2,e1) = e1
| op(e2,e2) = e1
| op(e2,e3) = e1
| op(e2,e4) = e1 ),
inference(canonicalize,[],[normalize_11_32]) ).
cnf(refute_11_194,plain,
( e4 = e1
| op(e2,e0) = e1
| op(e2,e1) = e1
| op(e2,e3) = e1
| op(e2,e4) = e1 ),
inference(resolve,[$cnf( $equal(op(e2,e2),e1) )],[refute_11_193,refute_11_116]) ).
cnf(refute_11_195,plain,
( op(e2,e0) = e1
| op(e2,e1) = e1
| op(e2,e3) = e1
| op(e2,e4) = e1 ),
inference(resolve,[$cnf( $equal(e4,e1) )],[refute_11_194,refute_11_119]) ).
cnf(refute_11_196,plain,
( op(e2,e4) != e1
| op(e2,e4) != e3
| e3 = e1 ),
introduced(tautology,[equality,[$cnf( $equal(op(e2,e4),e1) ),[0],$fot(e3)]]) ).
cnf(refute_11_197,plain,
( op(e2,e4) != e1
| e3 = e1 ),
inference(resolve,[$cnf( $equal(op(e2,e4),e3) )],[refute_11_64,refute_11_196]) ).
cnf(refute_11_198,plain,
( e3 = e1
| op(e2,e0) = e1
| op(e2,e1) = e1
| op(e2,e3) = e1 ),
inference(resolve,[$cnf( $equal(op(e2,e4),e1) )],[refute_11_195,refute_11_197]) ).
cnf(refute_11_199,plain,
( e3 != e1
| e1 = e3 ),
inference(subst,[],[refute_11_4:[bind(X,$fot(e3)),bind(Y,$fot(e1))]]) ).
cnf(refute_11_200,plain,
e3 != e1,
inference(resolve,[$cnf( $equal(e1,e3) )],[refute_11_199,refute_11_151]) ).
cnf(refute_11_201,plain,
( op(e2,e0) = e1
| op(e2,e1) = e1
| op(e2,e3) = e1 ),
inference(resolve,[$cnf( $equal(e3,e1) )],[refute_11_198,refute_11_200]) ).
cnf(refute_11_202,plain,
( op(e2,e3) != e0
| op(e2,e3) != e1
| e1 = e0 ),
introduced(tautology,[equality,[$cnf( $equal(op(e2,e3),e0) ),[0],$fot(e1)]]) ).
cnf(refute_11_203,plain,
( op(e2,e3) != e0
| e1 = e0
| op(e2,e0) = e1
| op(e2,e1) = e1 ),
inference(resolve,[$cnf( $equal(op(e2,e3),e1) )],[refute_11_201,refute_11_202]) ).
cnf(refute_11_204,plain,
( e1 = e0
| op(e2,e0) = e0
| op(e2,e0) = e1
| op(e2,e1) = e0
| op(e2,e1) = e1 ),
inference(resolve,[$cnf( $equal(op(e2,e3),e0) )],[refute_11_192,refute_11_203]) ).
cnf(refute_11_205,plain,
e0 != e1,
inference(canonicalize,[],[normalize_11_33]) ).
cnf(refute_11_206,plain,
( e1 != e0
| e0 = e1 ),
inference(subst,[],[refute_11_4:[bind(X,$fot(e1)),bind(Y,$fot(e0))]]) ).
cnf(refute_11_207,plain,
e1 != e0,
inference(resolve,[$cnf( $equal(e0,e1) )],[refute_11_206,refute_11_205]) ).
cnf(refute_11_208,plain,
( op(e2,e0) = e0
| op(e2,e0) = e1
| op(e2,e1) = e0
| op(e2,e1) = e1 ),
inference(resolve,[$cnf( $equal(e1,e0) )],[refute_11_204,refute_11_207]) ).
cnf(refute_11_209,plain,
op(e2,unit) = op(e2,unit),
introduced(tautology,[refl,[$fot(op(e2,unit))]]) ).
cnf(refute_11_210,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_11_211,plain,
( unit != e0
| op(e2,unit) = op(e2,e0) ),
inference(resolve,[$cnf( $equal(op(e2,unit),op(e2,unit)) )],[refute_11_209,refute_11_210]) ).
cnf(refute_11_212,plain,
op(e2,unit) = op(e2,e0),
inference(resolve,[$cnf( $equal(unit,e0) )],[refute_11_103,refute_11_211]) ).
cnf(refute_11_213,plain,
( op(e2,unit) != e2
| op(e2,unit) != op(e2,e0)
| op(e2,e0) = e2 ),
introduced(tautology,[equality,[$cnf( $equal(op(e2,unit),e2) ),[0],$fot(op(e2,e0))]]) ).
cnf(refute_11_214,plain,
( op(e2,unit) != e2
| op(e2,e0) = e2 ),
inference(resolve,[$cnf( $equal(op(e2,unit),op(e2,e0)) )],[refute_11_212,refute_11_213]) ).
cnf(refute_11_215,plain,
op(e2,e0) = e2,
inference(resolve,[$cnf( $equal(op(e2,unit),e2) )],[refute_11_95,refute_11_214]) ).
cnf(refute_11_216,plain,
( op(e2,e0) != e0
| op(e2,e0) != e2
| e2 = e0 ),
introduced(tautology,[equality,[$cnf( $equal(op(e2,e0),e0) ),[0],$fot(e2)]]) ).
cnf(refute_11_217,plain,
( op(e2,e0) != e0
| e2 = e0 ),
inference(resolve,[$cnf( $equal(op(e2,e0),e2) )],[refute_11_215,refute_11_216]) ).
cnf(refute_11_218,plain,
( e2 = e0
| op(e2,e0) = e1
| op(e2,e1) = e0
| op(e2,e1) = e1 ),
inference(resolve,[$cnf( $equal(op(e2,e0),e0) )],[refute_11_208,refute_11_217]) ).
cnf(refute_11_219,plain,
( op(e2,e0) != e1
| op(e2,e0) != e2
| e2 = e1 ),
introduced(tautology,[equality,[$cnf( $equal(op(e2,e0),e1) ),[0],$fot(e2)]]) ).
cnf(refute_11_220,plain,
( op(e2,e0) != e1
| e2 = e1 ),
inference(resolve,[$cnf( $equal(op(e2,e0),e2) )],[refute_11_215,refute_11_219]) ).
cnf(refute_11_221,plain,
( e2 = e0
| e2 = e1
| op(e2,e1) = e0
| op(e2,e1) = e1 ),
inference(resolve,[$cnf( $equal(op(e2,e0),e1) )],[refute_11_218,refute_11_220]) ).
cnf(refute_11_222,plain,
e0 != e2,
inference(canonicalize,[],[normalize_11_34]) ).
cnf(refute_11_223,plain,
( e2 != e0
| e0 = e2 ),
inference(subst,[],[refute_11_4:[bind(X,$fot(e2)),bind(Y,$fot(e0))]]) ).
cnf(refute_11_224,plain,
e2 != e0,
inference(resolve,[$cnf( $equal(e0,e2) )],[refute_11_223,refute_11_222]) ).
cnf(refute_11_225,plain,
( e2 = e1
| op(e2,e1) = e0
| op(e2,e1) = e1 ),
inference(resolve,[$cnf( $equal(e2,e0) )],[refute_11_221,refute_11_224]) ).
cnf(refute_11_226,plain,
( op(e2,e1) = e0
| op(e2,e1) = e1 ),
inference(resolve,[$cnf( $equal(e2,e1) )],[refute_11_225,refute_11_131]) ).
cnf(refute_11_227,plain,
op(e0,e1) != op(e2,e1),
inference(canonicalize,[],[normalize_11_35]) ).
cnf(refute_11_228,plain,
( e1 != op(e2,e1)
| op(e0,e1) != e1
| op(e0,e1) = op(e2,e1) ),
introduced(tautology,[equality,[$cnf( $equal(op(e0,e1),e1) ),[1],$fot(op(e2,e1))]]) ).
cnf(refute_11_229,plain,
( e1 != op(e2,e1)
| op(e0,e1) = op(e2,e1) ),
inference(resolve,[$cnf( $equal(op(e0,e1),e1) )],[refute_11_178,refute_11_228]) ).
cnf(refute_11_230,plain,
e1 != op(e2,e1),
inference(resolve,[$cnf( $equal(op(e0,e1),op(e2,e1)) )],[refute_11_229,refute_11_227]) ).
cnf(refute_11_231,plain,
( op(e2,e1) != e1
| e1 = op(e2,e1) ),
inference(subst,[],[refute_11_4:[bind(X,$fot(op(e2,e1))),bind(Y,$fot(e1))]]) ).
cnf(refute_11_232,plain,
op(e2,e1) != e1,
inference(resolve,[$cnf( $equal(e1,op(e2,e1)) )],[refute_11_231,refute_11_230]) ).
cnf(refute_11_233,plain,
op(e2,e1) = e0,
inference(resolve,[$cnf( $equal(op(e2,e1),e1) )],[refute_11_226,refute_11_232]) ).
cnf(refute_11_234,plain,
op(op(e2,e1),e1) = op(op(e2,e1),e1),
introduced(tautology,[refl,[$fot(op(op(e2,e1),e1))]]) ).
cnf(refute_11_235,plain,
( op(e2,e1) != e0
| op(op(e2,e1),e1) != op(op(e2,e1),e1)
| op(op(e2,e1),e1) = op(e0,e1) ),
introduced(tautology,[equality,[$cnf( $equal(op(op(e2,e1),e1),op(op(e2,e1),e1)) ),[1,0],$fot(e0)]]) ).
cnf(refute_11_236,plain,
( op(e2,e1) != e0
| op(op(e2,e1),e1) = op(e0,e1) ),
inference(resolve,[$cnf( $equal(op(op(e2,e1),e1),op(op(e2,e1),e1)) )],[refute_11_234,refute_11_235]) ).
cnf(refute_11_237,plain,
op(op(e2,e1),e1) = op(e0,e1),
inference(resolve,[$cnf( $equal(op(e2,e1),e0) )],[refute_11_233,refute_11_236]) ).
cnf(refute_11_238,plain,
( op(e0,e1) != e1
| op(op(e2,e1),e1) != op(e0,e1)
| op(op(e2,e1),e1) = e1 ),
inference(subst,[],[refute_11_19:[bind(X,$fot(op(op(e2,e1),e1))),bind(Y,$fot(op(e0,e1))),bind(Z,$fot(e1))]]) ).
cnf(refute_11_239,plain,
( op(e0,e1) != e1
| op(op(e2,e1),e1) = e1 ),
inference(resolve,[$cnf( $equal(op(op(e2,e1),e1),op(e0,e1)) )],[refute_11_237,refute_11_238]) ).
cnf(refute_11_240,plain,
op(op(e2,e1),e1) = e1,
inference(resolve,[$cnf( $equal(op(e0,e1),e1) )],[refute_11_178,refute_11_239]) ).
cnf(refute_11_241,plain,
( op(op(e2,e1),e1) != e1
| op(op(e2,e1),e1) != e2
| e1 = e2 ),
introduced(tautology,[equality,[$cnf( $equal(op(op(e2,e1),e1),e2) ),[0],$fot(e1)]]) ).
cnf(refute_11_242,plain,
( op(op(e2,e1),e1) != e2
| e1 = e2 ),
inference(resolve,[$cnf( $equal(op(op(e2,e1),e1),e1) )],[refute_11_240,refute_11_241]) ).
cnf(refute_11_243,plain,
e1 = e2,
inference(resolve,[$cnf( $equal(op(op(e2,e1),e1),e2) )],[refute_11_170,refute_11_242]) ).
cnf(refute_11_244,plain,
( e1 != e2
| e2 = e1 ),
inference(subst,[],[refute_11_4:[bind(X,$fot(e1)),bind(Y,$fot(e2))]]) ).
cnf(refute_11_245,plain,
e2 = e1,
inference(resolve,[$cnf( $equal(e1,e2) )],[refute_11_243,refute_11_244]) ).
cnf(refute_11_246,plain,
op(e1,e2) = op(e1,e2),
introduced(tautology,[refl,[$fot(op(e1,e2))]]) ).
cnf(refute_11_247,plain,
( e2 != e1
| op(e1,e2) != op(e1,e2)
| op(e1,e2) = op(e1,e1) ),
introduced(tautology,[equality,[$cnf( $equal(op(e1,e2),op(e1,e2)) ),[1,1],$fot(e1)]]) ).
cnf(refute_11_248,plain,
( e2 != e1
| op(e1,e2) = op(e1,e1) ),
inference(resolve,[$cnf( $equal(op(e1,e2),op(e1,e2)) )],[refute_11_246,refute_11_247]) ).
cnf(refute_11_249,plain,
op(e1,e2) = op(e1,e1),
inference(resolve,[$cnf( $equal(e2,e1) )],[refute_11_245,refute_11_248]) ).
cnf(refute_11_250,plain,
( op(e1,e2) != e3
| op(e1,e2) != op(e1,e1)
| op(e1,e1) = e3 ),
introduced(tautology,[equality,[$cnf( $equal(op(e1,e2),e3) ),[0],$fot(op(e1,e1))]]) ).
cnf(refute_11_251,plain,
( op(e1,e2) != e3
| op(e1,e1) = e3 ),
inference(resolve,[$cnf( $equal(op(e1,e2),op(e1,e1)) )],[refute_11_249,refute_11_250]) ).
cnf(refute_11_252,plain,
op(e1,e1) = e3,
inference(resolve,[$cnf( $equal(op(e1,e2),e3) )],[refute_11_169,refute_11_251]) ).
cnf(refute_11_253,plain,
op(e2,e2) = op(e2,e2),
introduced(tautology,[refl,[$fot(op(e2,e2))]]) ).
cnf(refute_11_254,plain,
( e2 != e1
| op(e2,e2) != op(e2,e2)
| op(e2,e2) = op(e1,e2) ),
introduced(tautology,[equality,[$cnf( $equal(op(e2,e2),op(e2,e2)) ),[1,0],$fot(e1)]]) ).
cnf(refute_11_255,plain,
( e2 != e1
| op(e2,e2) = op(e1,e2) ),
inference(resolve,[$cnf( $equal(op(e2,e2),op(e2,e2)) )],[refute_11_253,refute_11_254]) ).
cnf(refute_11_256,plain,
op(e2,e2) = op(e1,e2),
inference(resolve,[$cnf( $equal(e2,e1) )],[refute_11_245,refute_11_255]) ).
cnf(refute_11_257,plain,
( op(e1,e2) != op(e1,e1)
| op(e2,e2) != op(e1,e2)
| op(e2,e2) = op(e1,e1) ),
inference(subst,[],[refute_11_19:[bind(X,$fot(op(e2,e2))),bind(Y,$fot(op(e1,e2))),bind(Z,$fot(op(e1,e1)))]]) ).
cnf(refute_11_258,plain,
( op(e1,e2) != op(e1,e1)
| op(e2,e2) = op(e1,e1) ),
inference(resolve,[$cnf( $equal(op(e2,e2),op(e1,e2)) )],[refute_11_256,refute_11_257]) ).
cnf(refute_11_259,plain,
op(e2,e2) = op(e1,e1),
inference(resolve,[$cnf( $equal(op(e1,e2),op(e1,e1)) )],[refute_11_249,refute_11_258]) ).
cnf(refute_11_260,plain,
( op(e1,e1) != e3
| op(e2,e2) != op(e1,e1)
| op(e2,e2) = e3 ),
inference(subst,[],[refute_11_19:[bind(X,$fot(op(e2,e2))),bind(Y,$fot(op(e1,e1))),bind(Z,$fot(e3))]]) ).
cnf(refute_11_261,plain,
( op(e1,e1) != e3
| op(e2,e2) = e3 ),
inference(resolve,[$cnf( $equal(op(e2,e2),op(e1,e1)) )],[refute_11_259,refute_11_260]) ).
cnf(refute_11_262,plain,
op(e2,e2) = e3,
inference(resolve,[$cnf( $equal(op(e1,e1),e3) )],[refute_11_252,refute_11_261]) ).
cnf(refute_11_263,plain,
( e4 != op(e2,e2)
| op(e2,e2) != e3
| e4 = e3 ),
introduced(tautology,[equality,[$cnf( ~ $equal(e4,e3) ),[0],$fot(op(e2,e2))]]) ).
cnf(refute_11_264,plain,
( e4 != op(e2,e2)
| e4 = e3 ),
inference(resolve,[$cnf( $equal(op(e2,e2),e3) )],[refute_11_262,refute_11_263]) ).
cnf(refute_11_265,plain,
e4 = e3,
inference(resolve,[$cnf( $equal(e4,op(e2,e2)) )],[refute_11_1,refute_11_264]) ).
cnf(refute_11_266,plain,
op(e3,e4) = op(e3,e4),
introduced(tautology,[refl,[$fot(op(e3,e4))]]) ).
cnf(refute_11_267,plain,
( e4 != e3
| op(e3,e4) != op(e3,e4)
| op(e3,e4) = op(e3,e3) ),
introduced(tautology,[equality,[$cnf( $equal(op(e3,e4),op(e3,e4)) ),[1,1],$fot(e3)]]) ).
cnf(refute_11_268,plain,
( e4 != e3
| op(e3,e4) = op(e3,e3) ),
inference(resolve,[$cnf( $equal(op(e3,e4),op(e3,e4)) )],[refute_11_266,refute_11_267]) ).
cnf(refute_11_269,plain,
op(e3,e4) = op(e3,e3),
inference(resolve,[$cnf( $equal(e4,e3) )],[refute_11_265,refute_11_268]) ).
cnf(refute_11_270,plain,
op(e4,e4) = op(e4,e4),
introduced(tautology,[refl,[$fot(op(e4,e4))]]) ).
cnf(refute_11_271,plain,
( e4 != e3
| op(e4,e4) != op(e4,e4)
| op(e4,e4) = op(e3,e4) ),
introduced(tautology,[equality,[$cnf( $equal(op(e4,e4),op(e4,e4)) ),[1,0],$fot(e3)]]) ).
cnf(refute_11_272,plain,
( e4 != e3
| op(e4,e4) = op(e3,e4) ),
inference(resolve,[$cnf( $equal(op(e4,e4),op(e4,e4)) )],[refute_11_270,refute_11_271]) ).
cnf(refute_11_273,plain,
op(e4,e4) = op(e3,e4),
inference(resolve,[$cnf( $equal(e4,e3) )],[refute_11_265,refute_11_272]) ).
cnf(refute_11_274,plain,
( op(e3,e4) != op(e3,e3)
| op(e4,e4) != op(e3,e4)
| op(e4,e4) = op(e3,e3) ),
inference(subst,[],[refute_11_19:[bind(X,$fot(op(e4,e4))),bind(Y,$fot(op(e3,e4))),bind(Z,$fot(op(e3,e3)))]]) ).
cnf(refute_11_275,plain,
( op(e3,e4) != op(e3,e3)
| op(e4,e4) = op(e3,e3) ),
inference(resolve,[$cnf( $equal(op(e4,e4),op(e3,e4)) )],[refute_11_273,refute_11_274]) ).
cnf(refute_11_276,plain,
op(e4,e4) = op(e3,e3),
inference(resolve,[$cnf( $equal(op(e3,e4),op(e3,e3)) )],[refute_11_269,refute_11_275]) ).
cnf(refute_11_277,plain,
( e0 != op(e4,e4)
| op(e4,e4) != op(e3,e3)
| e0 = op(e3,e3) ),
introduced(tautology,[equality,[$cnf( ~ $equal(e0,op(e3,e3)) ),[0],$fot(op(e4,e4))]]) ).
cnf(refute_11_278,plain,
( e0 != op(e4,e4)
| e0 = op(e3,e3) ),
inference(resolve,[$cnf( $equal(op(e4,e4),op(e3,e3)) )],[refute_11_276,refute_11_277]) ).
cnf(refute_11_279,plain,
e0 = op(e3,e3),
inference(resolve,[$cnf( $equal(e0,op(e4,e4)) )],[refute_11_40,refute_11_278]) ).
cnf(refute_11_280,plain,
( e0 != op(e3,e3)
| op(e3,e3) = e0 ),
inference(subst,[],[refute_11_4:[bind(X,$fot(e0)),bind(Y,$fot(op(e3,e3)))]]) ).
cnf(refute_11_281,plain,
op(e3,e3) = e0,
inference(resolve,[$cnf( $equal(e0,op(e3,e3)) )],[refute_11_279,refute_11_280]) ).
cnf(refute_11_282,plain,
( op(e3,e3) != e0
| op(e3,e4) != op(e3,e3)
| op(e3,e4) = e0 ),
inference(subst,[],[refute_11_19:[bind(X,$fot(op(e3,e4))),bind(Y,$fot(op(e3,e3))),bind(Z,$fot(e0))]]) ).
cnf(refute_11_283,plain,
( op(e3,e3) != e0
| op(e3,e4) = e0 ),
inference(resolve,[$cnf( $equal(op(e3,e4),op(e3,e3)) )],[refute_11_269,refute_11_282]) ).
cnf(refute_11_284,plain,
op(e3,e4) = e0,
inference(resolve,[$cnf( $equal(op(e3,e3),e0) )],[refute_11_281,refute_11_283]) ).
cnf(refute_11_285,plain,
( e1 != op(e3,e4)
| op(e3,e4) != e0
| e1 = e0 ),
introduced(tautology,[equality,[$cnf( ~ $equal(e1,e0) ),[0],$fot(op(e3,e4))]]) ).
cnf(refute_11_286,plain,
( e1 != op(e3,e4)
| e1 = e0 ),
inference(resolve,[$cnf( $equal(op(e3,e4),e0) )],[refute_11_284,refute_11_285]) ).
cnf(refute_11_287,plain,
e1 = e0,
inference(resolve,[$cnf( $equal(e1,op(e3,e4)) )],[refute_11_25,refute_11_286]) ).
cnf(refute_11_288,plain,
$false,
inference(resolve,[$cnf( $equal(e1,e0) )],[refute_11_287,refute_11_207]) ).
fof(negate_12_0,plain,
~ ( ( ( ( op(e0,op(e0,e0)) != e0
& op(e0,op(e0,e0)) = e0 )
| ( op(e1,op(e1,e0)) != e0
& op(e0,op(e1,e0)) = e1 )
| ( op(e2,op(e2,e0)) != e0
& op(e0,op(e2,e0)) = e2 )
| ( op(e3,op(e3,e0)) != e0
& op(e0,op(e3,e0)) = e3 )
| ( op(e4,op(e4,e0)) != e0
& op(e0,op(e4,e0)) = e4 ) )
& ( ( op(e0,op(e0,e1)) != e1
& op(e1,op(e0,e1)) = e0 )
| ( op(e1,op(e1,e1)) != e1
& op(e1,op(e1,e1)) = e1 )
| ( op(e2,op(e2,e1)) != e1
& op(e1,op(e2,e1)) = e2 )
| ( op(e3,op(e3,e1)) != e1
& op(e1,op(e3,e1)) = e3 )
| ( op(e4,op(e4,e1)) != e1
& op(e1,op(e4,e1)) = e4 ) )
& ( ( op(e0,op(e0,e2)) != e2
& op(e2,op(e0,e2)) = e0 )
| ( op(e1,op(e1,e2)) != e2
& op(e2,op(e1,e2)) = e1 )
| ( op(e2,op(e2,e2)) != e2
& op(e2,op(e2,e2)) = e2 )
| ( op(e3,op(e3,e2)) != e2
& op(e2,op(e3,e2)) = e3 )
| ( op(e4,op(e4,e2)) != e2
& op(e2,op(e4,e2)) = e4 ) )
& ( ( op(e0,op(e0,e3)) != e3
& op(e3,op(e0,e3)) = e0 )
| ( op(e1,op(e1,e3)) != e3
& op(e3,op(e1,e3)) = e1 )
| ( op(e2,op(e2,e3)) != e3
& op(e3,op(e2,e3)) = e2 )
| ( op(e3,op(e3,e3)) != e3
& op(e3,op(e3,e3)) = e3 )
| ( op(e4,op(e4,e3)) != e3
& op(e3,op(e4,e3)) = e4 ) )
& ( ( op(e0,op(e0,e4)) != e4
& op(e4,op(e0,e4)) = e0 )
| ( op(e1,op(e1,e4)) != e4
& op(e4,op(e1,e4)) = e1 )
| ( op(e2,op(e2,e4)) != e4
& op(e4,op(e2,e4)) = e2 )
| ( op(e3,op(e3,e4)) != e4
& op(e4,op(e3,e4)) = e3 )
| ( op(e4,op(e4,e4)) != e4
& op(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,op(e0,e0)) != e0
& op(e0,op(e0,e0)) = e0 )
| ( op(e1,op(e1,e0)) != e0
& op(e0,op(e1,e0)) = e1 )
| ( op(e2,op(e2,e0)) != e0
& op(e0,op(e2,e0)) = e2 )
| ( op(e3,op(e3,e0)) != e0
& op(e0,op(e3,e0)) = e3 )
| ( op(e4,op(e4,e0)) != e0
& op(e0,op(e4,e0)) = e4 ) )
& ( ( op(e0,op(e0,e1)) != e1
& op(e1,op(e0,e1)) = e0 )
| ( op(e1,op(e1,e1)) != e1
& op(e1,op(e1,e1)) = e1 )
| ( op(e2,op(e2,e1)) != e1
& op(e1,op(e2,e1)) = e2 )
| ( op(e3,op(e3,e1)) != e1
& op(e1,op(e3,e1)) = e3 )
| ( op(e4,op(e4,e1)) != e1
& op(e1,op(e4,e1)) = e4 ) )
& ( ( op(e0,op(e0,e2)) != e2
& op(e2,op(e0,e2)) = e0 )
| ( op(e1,op(e1,e2)) != e2
& op(e2,op(e1,e2)) = e1 )
| ( op(e2,op(e2,e2)) != e2
& op(e2,op(e2,e2)) = e2 )
| ( op(e3,op(e3,e2)) != e2
& op(e2,op(e3,e2)) = e3 )
| ( op(e4,op(e4,e2)) != e2
& op(e2,op(e4,e2)) = e4 ) )
& ( ( op(e0,op(e0,e3)) != e3
& op(e3,op(e0,e3)) = e0 )
| ( op(e1,op(e1,e3)) != e3
& op(e3,op(e1,e3)) = e1 )
| ( op(e2,op(e2,e3)) != e3
& op(e3,op(e2,e3)) = e2 )
| ( op(e3,op(e3,e3)) != e3
& op(e3,op(e3,e3)) = e3 )
| ( op(e4,op(e4,e3)) != e3
& op(e3,op(e4,e3)) = e4 ) )
& ( ( op(e0,op(e0,e4)) != e4
& op(e4,op(e0,e4)) = e0 )
| ( op(e1,op(e1,e4)) != e4
& op(e4,op(e1,e4)) = e1 )
| ( op(e2,op(e2,e4)) != e4
& op(e4,op(e2,e4)) = e2 )
| ( op(e3,op(e3,e4)) != e4
& op(e4,op(e3,e4)) = e3 )
| ( op(e4,op(e4,e4)) != e4
& op(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,op(e0,e1)) != e1
& op(e1,op(e0,e1)) = e0 )
| ( op(e2,op(e2,e1)) != e1
& op(e1,op(e2,e1)) = e2 )
| ( op(e3,op(e3,e1)) != e1
& op(e1,op(e3,e1)) = e3 )
| ( op(e4,op(e4,e1)) != e1
& op(e1,op(e4,e1)) = e4 ) )
& ( ( op(e0,op(e0,e2)) != e2
& op(e2,op(e0,e2)) = e0 )
| ( op(e1,op(e1,e2)) != e2
& op(e2,op(e1,e2)) = e1 )
| ( op(e3,op(e3,e2)) != e2
& op(e2,op(e3,e2)) = e3 )
| ( op(e4,op(e4,e2)) != e2
& op(e2,op(e4,e2)) = e4 ) )
& ( ( op(e0,op(e0,e3)) != e3
& op(e3,op(e0,e3)) = e0 )
| ( op(e1,op(e1,e3)) != e3
& op(e3,op(e1,e3)) = e1 )
| ( op(e2,op(e2,e3)) != e3
& op(e3,op(e2,e3)) = e2 )
| ( op(e4,op(e4,e3)) != e3
& op(e3,op(e4,e3)) = e4 ) )
& ( ( op(e0,op(e0,e4)) != e4
& op(e4,op(e0,e4)) = e0 )
| ( op(e1,op(e1,e4)) != e4
& op(e4,op(e1,e4)) = e1 )
| ( op(e2,op(e2,e4)) != e4
& op(e4,op(e2,e4)) = e2 )
| ( op(e3,op(e3,e4)) != e4
& op(e4,op(e3,e4)) = e3 ) )
& ( ( op(e1,op(e1,e0)) != e0
& op(e0,op(e1,e0)) = e1 )
| ( op(e2,op(e2,e0)) != e0
& op(e0,op(e2,e0)) = e2 )
| ( op(e3,op(e3,e0)) != e0
& op(e0,op(e3,e0)) = e3 )
| ( op(e4,op(e4,e0)) != e0
& op(e0,op(e4,e0)) = e4 ) ) ),
inference(canonicalize,[],[negate_13_0]) ).
fof(normalize_13_1,plain,
op(op(e2,e3),e3) = e2,
inference(conjunct,[],[normalize_13_0]) ).
fof(normalize_13_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_13_3,plain,
op(e2,e0) != op(e2,e3),
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(e2,unit) = e2,
inference(conjunct,[],[normalize_13_4]) ).
fof(normalize_13_6,plain,
( ~ definitionFOFtoCNF_54
<=> ( op(e0,op(e1,e0)) != e1
| op(e1,op(e1,e0)) = e0 ) ),
inference(canonicalize,[],[definition_2]) ).
fof(normalize_13_7,plain,
( ( op(e1,op(e1,e0)) != e0
| ~ definitionFOFtoCNF_54 )
& ( ~ definitionFOFtoCNF_54
| op(e0,op(e1,e0)) = e1 )
& ( op(e0,op(e1,e0)) != e1
| op(e1,op(e1,e0)) = e0
| definitionFOFtoCNF_54 ) ),
inference(clausify,[],[normalize_13_6]) ).
fof(normalize_13_8,plain,
( op(e1,op(e1,e0)) != e0
| ~ definitionFOFtoCNF_54 ),
inference(conjunct,[],[normalize_13_7]) ).
fof(normalize_13_9,plain,
op(unit,e0) = e0,
inference(conjunct,[],[normalize_13_4]) ).
fof(normalize_13_10,plain,
op(unit,e1) = e1,
inference(conjunct,[],[normalize_13_4]) ).
fof(normalize_13_11,plain,
op(unit,e3) = e3,
inference(conjunct,[],[normalize_13_4]) ).
fof(normalize_13_12,plain,
( unit = e0
| unit = e1
| unit = e2
| unit = e3
| unit = e4 ),
inference(conjunct,[],[normalize_13_4]) ).
fof(normalize_13_13,plain,
op(e2,e3) != op(e2,e4),
inference(conjunct,[],[normalize_13_2]) ).
fof(normalize_13_14,plain,
( e0 = op(op(e2,e2),op(e2,e2))
& e1 = op(op(e2,op(e2,e2)),op(e2,e2))
& e3 = op(e2,op(e2,e2))
& e4 = op(e2,e2) ),
inference(canonicalize,[],[ax6]) ).
fof(normalize_13_15,plain,
e3 = op(e2,op(e2,e2)),
inference(conjunct,[],[normalize_13_14]) ).
fof(normalize_13_16,plain,
e4 = op(e2,e2),
inference(conjunct,[],[normalize_13_14]) ).
fof(normalize_13_17,plain,
op(e3,e1) != op(e3,e4),
inference(conjunct,[],[normalize_13_2]) ).
fof(normalize_13_18,plain,
e1 = op(op(e2,op(e2,e2)),op(e2,e2)),
inference(conjunct,[],[normalize_13_14]) ).
fof(normalize_13_19,plain,
op(e4,e0) != op(e4,e4),
inference(conjunct,[],[normalize_13_2]) ).
fof(normalize_13_20,plain,
e0 = op(op(e2,e2),op(e2,e2)),
inference(conjunct,[],[normalize_13_14]) ).
fof(normalize_13_21,plain,
op(e2,e1) != op(e2,e3),
inference(conjunct,[],[normalize_13_2]) ).
fof(normalize_13_22,plain,
op(e1,e1) != op(e2,e1),
inference(conjunct,[],[normalize_13_2]) ).
fof(normalize_13_23,plain,
op(e2,e0) != op(e2,e1),
inference(conjunct,[],[normalize_13_2]) ).
fof(normalize_13_24,plain,
op(e0,e1) != op(e2,e1),
inference(conjunct,[],[normalize_13_2]) ).
fof(normalize_13_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_13_26,plain,
( op(e2,e1) = e0
| op(e2,e1) = e1
| op(e2,e1) = e2
| op(e2,e1) = e3
| op(e2,e1) = e4 ),
inference(conjunct,[],[normalize_13_25]) ).
fof(normalize_13_27,plain,
op(e2,e1) != op(e2,e2),
inference(conjunct,[],[normalize_13_2]) ).
fof(normalize_13_28,plain,
op(e2,e1) != op(e2,e4),
inference(conjunct,[],[normalize_13_2]) ).
fof(normalize_13_29,plain,
( op(e0,op(e1,e0)) != e1
| op(e1,op(e1,e0)) = e0
| definitionFOFtoCNF_54 ),
inference(conjunct,[],[normalize_13_7]) ).
fof(normalize_13_30,plain,
op(e1,unit) = e1,
inference(conjunct,[],[normalize_13_4]) ).
fof(normalize_13_31,plain,
op(e1,e0) != op(e2,e0),
inference(conjunct,[],[normalize_13_2]) ).
fof(normalize_13_32,plain,
( op(e2,e0) = e0
| op(e2,e0) = e1
| op(e2,e0) = e2
| op(e2,e0) = e3
| op(e2,e0) = e4 ),
inference(conjunct,[],[normalize_13_25]) ).
fof(normalize_13_33,plain,
op(e2,e0) != op(e2,e2),
inference(conjunct,[],[normalize_13_2]) ).
fof(normalize_13_34,plain,
op(e2,e0) != op(e2,e4),
inference(conjunct,[],[normalize_13_2]) ).
fof(normalize_13_35,plain,
op(e3,e2) != op(e2,e3),
inference(conjunct,[],[normalize_13_0]) ).
fof(normalize_13_36,plain,
op(e1,e2) != op(e3,e2),
inference(conjunct,[],[normalize_13_2]) ).
fof(normalize_13_37,plain,
op(unit,e2) = e2,
inference(conjunct,[],[normalize_13_4]) ).
fof(normalize_13_38,plain,
op(e3,e1) != op(e3,e2),
inference(conjunct,[],[normalize_13_2]) ).
fof(normalize_13_39,plain,
( op(e3,e2) = e0
| op(e3,e2) = e1
| op(e3,e2) = e2
| op(e3,e2) = e3
| op(e3,e2) = e4 ),
inference(conjunct,[],[normalize_13_25]) ).
fof(normalize_13_40,plain,
op(e2,e2) != op(e3,e2),
inference(conjunct,[],[normalize_13_2]) ).
fof(normalize_13_41,plain,
op(e3,e2) != op(e3,e4),
inference(conjunct,[],[normalize_13_2]) ).
fof(normalize_13_42,plain,
op(e3,unit) = e3,
inference(conjunct,[],[normalize_13_4]) ).
fof(normalize_13_43,plain,
( op(e2,e3) = e0
| op(e2,e3) = e1
| op(e2,e3) = e2
| op(e2,e3) = e3
| op(e2,e3) = e4 ),
inference(conjunct,[],[normalize_13_25]) ).
fof(normalize_13_44,plain,
op(e2,e2) != op(e2,e3),
inference(conjunct,[],[normalize_13_2]) ).
fof(normalize_13_45,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_46,plain,
e0 != e1,
inference(conjunct,[],[normalize_13_45]) ).
fof(normalize_13_47,plain,
op(e1,e3) != op(e4,e3),
inference(conjunct,[],[normalize_13_2]) ).
fof(normalize_13_48,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_49,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_48]) ).
fof(normalize_13_50,plain,
e0 != e2,
inference(conjunct,[],[normalize_13_45]) ).
fof(normalize_13_51,plain,
op(e4,unit) = e4,
inference(conjunct,[],[normalize_13_4]) ).
fof(normalize_13_52,plain,
op(e1,e2) != op(e4,e2),
inference(conjunct,[],[normalize_13_2]) ).
fof(normalize_13_53,plain,
op(e0,e2) != op(e1,e2),
inference(conjunct,[],[normalize_13_2]) ).
fof(normalize_13_54,plain,
op(e1,e0) != op(e1,e2),
inference(conjunct,[],[normalize_13_2]) ).
fof(normalize_13_55,plain,
op(e3,e0) != op(e3,e2),
inference(conjunct,[],[normalize_13_2]) ).
fof(normalize_13_56,plain,
op(e0,e2) != op(e3,e2),
inference(conjunct,[],[normalize_13_2]) ).
fof(normalize_13_57,plain,
( op(e1,e2) = e0
| op(e1,e2) = e1
| op(e1,e2) = e2
| op(e1,e2) = e3
| op(e1,e2) = e4 ),
inference(conjunct,[],[normalize_13_25]) ).
fof(normalize_13_58,plain,
op(e1,e2) != op(e2,e2),
inference(conjunct,[],[normalize_13_2]) ).
fof(normalize_13_59,plain,
op(e0,e3) != op(e4,e3),
inference(conjunct,[],[normalize_13_2]) ).
fof(normalize_13_60,plain,
( op(e4,e0) = e3
| op(e4,e1) = e3
| op(e4,e2) = e3
| op(e4,e3) = e3
| op(e4,e4) = e3 ),
inference(conjunct,[],[normalize_13_48]) ).
fof(normalize_13_61,plain,
e0 != e3,
inference(conjunct,[],[normalize_13_45]) ).
fof(normalize_13_62,plain,
e3 != e4,
inference(conjunct,[],[normalize_13_45]) ).
fof(normalize_13_63,plain,
op(e0,e2) != op(e4,e2),
inference(conjunct,[],[normalize_13_2]) ).
fof(normalize_13_64,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_25]) ).
fof(normalize_13_65,plain,
op(e2,e2) != op(e4,e2),
inference(conjunct,[],[normalize_13_2]) ).
fof(normalize_13_66,plain,
op(e4,e2) != op(e4,e4),
inference(conjunct,[],[normalize_13_2]) ).
fof(normalize_13_67,plain,
e1 != e2,
inference(conjunct,[],[normalize_13_45]) ).
fof(normalize_13_68,plain,
e2 != e3,
inference(conjunct,[],[normalize_13_45]) ).
fof(normalize_13_69,plain,
e2 != e4,
inference(conjunct,[],[normalize_13_45]) ).
cnf(refute_13_0,plain,
op(op(e2,e3),e3) = e2,
inference(canonicalize,[],[normalize_13_1]) ).
cnf(refute_13_1,plain,
op(e2,e0) != op(e2,e3),
inference(canonicalize,[],[normalize_13_3]) ).
cnf(refute_13_2,plain,
op(e2,unit) = e2,
inference(canonicalize,[],[normalize_13_5]) ).
cnf(refute_13_3,plain,
( op(e1,op(e1,e0)) != e0
| ~ definitionFOFtoCNF_54 ),
inference(canonicalize,[],[normalize_13_8]) ).
cnf(refute_13_4,plain,
op(unit,e0) = e0,
inference(canonicalize,[],[normalize_13_9]) ).
cnf(refute_13_5,plain,
op(unit,e1) = e1,
inference(canonicalize,[],[normalize_13_10]) ).
cnf(refute_13_6,plain,
op(unit,e3) = e3,
inference(canonicalize,[],[normalize_13_11]) ).
cnf(refute_13_7,plain,
( unit = e0
| unit = e1
| unit = e2
| unit = e3
| unit = e4 ),
inference(canonicalize,[],[normalize_13_12]) ).
cnf(refute_13_8,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_9,plain,
( op(unit,e3) != e3
| op(e2,e3) = e3
| unit = e0
| unit = e1
| unit = e3
| unit = e4 ),
inference(resolve,[$cnf( $equal(unit,e2) )],[refute_13_7,refute_13_8]) ).
cnf(refute_13_10,plain,
( op(e2,e3) = e3
| unit = e0
| unit = e1
| unit = e3
| unit = e4 ),
inference(resolve,[$cnf( $equal(op(unit,e3),e3) )],[refute_13_6,refute_13_9]) ).
cnf(refute_13_11,plain,
op(e2,e3) != op(e2,e4),
inference(canonicalize,[],[normalize_13_13]) ).
cnf(refute_13_12,plain,
e3 = op(e2,op(e2,e2)),
inference(canonicalize,[],[normalize_13_15]) ).
cnf(refute_13_13,plain,
e4 = op(e2,e2),
inference(canonicalize,[],[normalize_13_16]) ).
cnf(refute_13_14,plain,
X = X,
introduced(tautology,[refl,[$fot(X)]]) ).
cnf(refute_13_15,plain,
( X != X
| X != Y
| Y = X ),
introduced(tautology,[equality,[$cnf( $equal(X,X) ),[0],$fot(Y)]]) ).
cnf(refute_13_16,plain,
( X != Y
| Y = X ),
inference(resolve,[$cnf( $equal(X,X) )],[refute_13_14,refute_13_15]) ).
cnf(refute_13_17,plain,
( e4 != op(e2,e2)
| op(e2,e2) = e4 ),
inference(subst,[],[refute_13_16:[bind(X,$fot(e4)),bind(Y,$fot(op(e2,e2)))]]) ).
cnf(refute_13_18,plain,
op(e2,e2) = e4,
inference(resolve,[$cnf( $equal(e4,op(e2,e2)) )],[refute_13_13,refute_13_17]) ).
cnf(refute_13_19,plain,
op(e2,op(e2,e2)) = op(e2,op(e2,e2)),
introduced(tautology,[refl,[$fot(op(e2,op(e2,e2)))]]) ).
cnf(refute_13_20,plain,
( op(e2,e2) != e4
| op(e2,op(e2,e2)) != op(e2,op(e2,e2))
| op(e2,op(e2,e2)) = op(e2,e4) ),
introduced(tautology,[equality,[$cnf( $equal(op(e2,op(e2,e2)),op(e2,op(e2,e2))) ),[1,1],$fot(e4)]]) ).
cnf(refute_13_21,plain,
( op(e2,e2) != e4
| op(e2,op(e2,e2)) = op(e2,e4) ),
inference(resolve,[$cnf( $equal(op(e2,op(e2,e2)),op(e2,op(e2,e2))) )],[refute_13_19,refute_13_20]) ).
cnf(refute_13_22,plain,
op(e2,op(e2,e2)) = op(e2,e4),
inference(resolve,[$cnf( $equal(op(e2,e2),e4) )],[refute_13_18,refute_13_21]) ).
cnf(refute_13_23,plain,
( e3 != op(e2,op(e2,e2))
| op(e2,op(e2,e2)) != op(e2,e4)
| e3 = op(e2,e4) ),
introduced(tautology,[equality,[$cnf( ~ $equal(e3,op(e2,e4)) ),[0],$fot(op(e2,op(e2,e2)))]]) ).
cnf(refute_13_24,plain,
( e3 != op(e2,op(e2,e2))
| e3 = op(e2,e4) ),
inference(resolve,[$cnf( $equal(op(e2,op(e2,e2)),op(e2,e4)) )],[refute_13_22,refute_13_23]) ).
cnf(refute_13_25,plain,
e3 = op(e2,e4),
inference(resolve,[$cnf( $equal(e3,op(e2,op(e2,e2))) )],[refute_13_12,refute_13_24]) ).
cnf(refute_13_26,plain,
( e3 != op(e2,e4)
| op(e2,e4) = e3 ),
inference(subst,[],[refute_13_16:[bind(X,$fot(e3)),bind(Y,$fot(op(e2,e4)))]]) ).
cnf(refute_13_27,plain,
op(e2,e4) = e3,
inference(resolve,[$cnf( $equal(e3,op(e2,e4)) )],[refute_13_25,refute_13_26]) ).
cnf(refute_13_28,plain,
( op(e2,e3) != e3
| op(e2,e4) != e3
| op(e2,e3) = op(e2,e4) ),
introduced(tautology,[equality,[$cnf( ~ $equal(op(e2,e3),op(e2,e4)) ),[1],$fot(e3)]]) ).
cnf(refute_13_29,plain,
( op(e2,e3) != e3
| op(e2,e3) = op(e2,e4) ),
inference(resolve,[$cnf( $equal(op(e2,e4),e3) )],[refute_13_27,refute_13_28]) ).
cnf(refute_13_30,plain,
op(e2,e3) != e3,
inference(resolve,[$cnf( $equal(op(e2,e3),op(e2,e4)) )],[refute_13_29,refute_13_11]) ).
cnf(refute_13_31,plain,
( unit = e0
| unit = e1
| unit = e3
| unit = e4 ),
inference(resolve,[$cnf( $equal(op(e2,e3),e3) )],[refute_13_10,refute_13_30]) ).
cnf(refute_13_32,plain,
( op(unit,e1) != e1
| unit != e3
| op(e3,e1) = e1 ),
introduced(tautology,[equality,[$cnf( $equal(op(unit,e1),e1) ),[0,0],$fot(e3)]]) ).
cnf(refute_13_33,plain,
( op(unit,e1) != e1
| op(e3,e1) = e1
| unit = e0
| unit = e1
| unit = e4 ),
inference(resolve,[$cnf( $equal(unit,e3) )],[refute_13_31,refute_13_32]) ).
cnf(refute_13_34,plain,
( op(e3,e1) = e1
| unit = e0
| unit = e1
| unit = e4 ),
inference(resolve,[$cnf( $equal(op(unit,e1),e1) )],[refute_13_5,refute_13_33]) ).
cnf(refute_13_35,plain,
op(e3,e1) != op(e3,e4),
inference(canonicalize,[],[normalize_13_17]) ).
cnf(refute_13_36,plain,
e1 = op(op(e2,op(e2,e2)),op(e2,e2)),
inference(canonicalize,[],[normalize_13_18]) ).
cnf(refute_13_37,plain,
op(e3,op(e2,e2)) = op(e3,op(e2,e2)),
introduced(tautology,[refl,[$fot(op(e3,op(e2,e2)))]]) ).
cnf(refute_13_38,plain,
( op(e2,e2) != e4
| op(e3,op(e2,e2)) != op(e3,op(e2,e2))
| op(e3,op(e2,e2)) = op(e3,e4) ),
introduced(tautology,[equality,[$cnf( $equal(op(e3,op(e2,e2)),op(e3,op(e2,e2))) ),[1,1],$fot(e4)]]) ).
cnf(refute_13_39,plain,
( op(e2,e2) != e4
| op(e3,op(e2,e2)) = op(e3,e4) ),
inference(resolve,[$cnf( $equal(op(e3,op(e2,e2)),op(e3,op(e2,e2))) )],[refute_13_37,refute_13_38]) ).
cnf(refute_13_40,plain,
op(e3,op(e2,e2)) = op(e3,e4),
inference(resolve,[$cnf( $equal(op(e2,e2),e4) )],[refute_13_18,refute_13_39]) ).
cnf(refute_13_41,plain,
( e3 != op(e2,op(e2,e2))
| op(e2,op(e2,e2)) = e3 ),
inference(subst,[],[refute_13_16:[bind(X,$fot(e3)),bind(Y,$fot(op(e2,op(e2,e2))))]]) ).
cnf(refute_13_42,plain,
op(e2,op(e2,e2)) = e3,
inference(resolve,[$cnf( $equal(e3,op(e2,op(e2,e2))) )],[refute_13_12,refute_13_41]) ).
cnf(refute_13_43,plain,
op(op(e2,op(e2,e2)),op(e2,e2)) = op(op(e2,op(e2,e2)),op(e2,e2)),
introduced(tautology,[refl,[$fot(op(op(e2,op(e2,e2)),op(e2,e2)))]]) ).
cnf(refute_13_44,plain,
( op(e2,op(e2,e2)) != e3
| op(op(e2,op(e2,e2)),op(e2,e2)) != op(op(e2,op(e2,e2)),op(e2,e2))
| op(op(e2,op(e2,e2)),op(e2,e2)) = op(e3,op(e2,e2)) ),
introduced(tautology,[equality,[$cnf( $equal(op(op(e2,op(e2,e2)),op(e2,e2)),op(op(e2,op(e2,e2)),op(e2,e2))) ),[1,0],$fot(e3)]]) ).
cnf(refute_13_45,plain,
( op(e2,op(e2,e2)) != e3
| op(op(e2,op(e2,e2)),op(e2,e2)) = op(e3,op(e2,e2)) ),
inference(resolve,[$cnf( $equal(op(op(e2,op(e2,e2)),op(e2,e2)),op(op(e2,op(e2,e2)),op(e2,e2))) )],[refute_13_43,refute_13_44]) ).
cnf(refute_13_46,plain,
op(op(e2,op(e2,e2)),op(e2,e2)) = op(e3,op(e2,e2)),
inference(resolve,[$cnf( $equal(op(e2,op(e2,e2)),e3) )],[refute_13_42,refute_13_45]) ).
cnf(refute_13_47,plain,
( Y != X
| Y != Z
| X = Z ),
introduced(tautology,[equality,[$cnf( $equal(Y,Z) ),[0],$fot(X)]]) ).
cnf(refute_13_48,plain,
( X != Y
| Y != Z
| X = Z ),
inference(resolve,[$cnf( $equal(Y,X) )],[refute_13_16,refute_13_47]) ).
cnf(refute_13_49,plain,
( op(e3,op(e2,e2)) != op(e3,e4)
| op(op(e2,op(e2,e2)),op(e2,e2)) != op(e3,op(e2,e2))
| op(op(e2,op(e2,e2)),op(e2,e2)) = op(e3,e4) ),
inference(subst,[],[refute_13_48:[bind(X,$fot(op(op(e2,op(e2,e2)),op(e2,e2)))),bind(Y,$fot(op(e3,op(e2,e2)))),bind(Z,$fot(op(e3,e4)))]]) ).
cnf(refute_13_50,plain,
( op(e3,op(e2,e2)) != op(e3,e4)
| op(op(e2,op(e2,e2)),op(e2,e2)) = op(e3,e4) ),
inference(resolve,[$cnf( $equal(op(op(e2,op(e2,e2)),op(e2,e2)),op(e3,op(e2,e2))) )],[refute_13_46,refute_13_49]) ).
cnf(refute_13_51,plain,
op(op(e2,op(e2,e2)),op(e2,e2)) = op(e3,e4),
inference(resolve,[$cnf( $equal(op(e3,op(e2,e2)),op(e3,e4)) )],[refute_13_40,refute_13_50]) ).
cnf(refute_13_52,plain,
( e1 != op(op(e2,op(e2,e2)),op(e2,e2))
| op(op(e2,op(e2,e2)),op(e2,e2)) != op(e3,e4)
| e1 = op(e3,e4) ),
introduced(tautology,[equality,[$cnf( ~ $equal(e1,op(e3,e4)) ),[0],$fot(op(op(e2,op(e2,e2)),op(e2,e2)))]]) ).
cnf(refute_13_53,plain,
( e1 != op(op(e2,op(e2,e2)),op(e2,e2))
| e1 = op(e3,e4) ),
inference(resolve,[$cnf( $equal(op(op(e2,op(e2,e2)),op(e2,e2)),op(e3,e4)) )],[refute_13_51,refute_13_52]) ).
cnf(refute_13_54,plain,
e1 = op(e3,e4),
inference(resolve,[$cnf( $equal(e1,op(op(e2,op(e2,e2)),op(e2,e2))) )],[refute_13_36,refute_13_53]) ).
cnf(refute_13_55,plain,
( e1 != op(e3,e4)
| op(e3,e4) = e1 ),
inference(subst,[],[refute_13_16:[bind(X,$fot(e1)),bind(Y,$fot(op(e3,e4)))]]) ).
cnf(refute_13_56,plain,
op(e3,e4) = e1,
inference(resolve,[$cnf( $equal(e1,op(e3,e4)) )],[refute_13_54,refute_13_55]) ).
cnf(refute_13_57,plain,
( op(e3,e1) != e1
| op(e3,e4) != e1
| op(e3,e1) = op(e3,e4) ),
introduced(tautology,[equality,[$cnf( ~ $equal(op(e3,e1),op(e3,e4)) ),[1],$fot(e1)]]) ).
cnf(refute_13_58,plain,
( op(e3,e1) != e1
| op(e3,e1) = op(e3,e4) ),
inference(resolve,[$cnf( $equal(op(e3,e4),e1) )],[refute_13_56,refute_13_57]) ).
cnf(refute_13_59,plain,
op(e3,e1) != e1,
inference(resolve,[$cnf( $equal(op(e3,e1),op(e3,e4)) )],[refute_13_58,refute_13_35]) ).
cnf(refute_13_60,plain,
( unit = e0
| unit = e1
| unit = e4 ),
inference(resolve,[$cnf( $equal(op(e3,e1),e1) )],[refute_13_34,refute_13_59]) ).
cnf(refute_13_61,plain,
( op(unit,e0) != e0
| unit != e4
| op(e4,e0) = e0 ),
introduced(tautology,[equality,[$cnf( $equal(op(unit,e0),e0) ),[0,0],$fot(e4)]]) ).
cnf(refute_13_62,plain,
( op(unit,e0) != e0
| op(e4,e0) = e0
| unit = e0
| unit = e1 ),
inference(resolve,[$cnf( $equal(unit,e4) )],[refute_13_60,refute_13_61]) ).
cnf(refute_13_63,plain,
( op(e4,e0) = e0
| unit = e0
| unit = e1 ),
inference(resolve,[$cnf( $equal(op(unit,e0),e0) )],[refute_13_4,refute_13_62]) ).
cnf(refute_13_64,plain,
op(e4,e0) != op(e4,e4),
inference(canonicalize,[],[normalize_13_19]) ).
cnf(refute_13_65,plain,
e0 = op(op(e2,e2),op(e2,e2)),
inference(canonicalize,[],[normalize_13_20]) ).
cnf(refute_13_66,plain,
op(e4,op(e2,e2)) = op(e4,op(e2,e2)),
introduced(tautology,[refl,[$fot(op(e4,op(e2,e2)))]]) ).
cnf(refute_13_67,plain,
( op(e2,e2) != e4
| op(e4,op(e2,e2)) != op(e4,op(e2,e2))
| op(e4,op(e2,e2)) = op(e4,e4) ),
introduced(tautology,[equality,[$cnf( $equal(op(e4,op(e2,e2)),op(e4,op(e2,e2))) ),[1,1],$fot(e4)]]) ).
cnf(refute_13_68,plain,
( op(e2,e2) != e4
| op(e4,op(e2,e2)) = op(e4,e4) ),
inference(resolve,[$cnf( $equal(op(e4,op(e2,e2)),op(e4,op(e2,e2))) )],[refute_13_66,refute_13_67]) ).
cnf(refute_13_69,plain,
op(e4,op(e2,e2)) = op(e4,e4),
inference(resolve,[$cnf( $equal(op(e2,e2),e4) )],[refute_13_18,refute_13_68]) ).
cnf(refute_13_70,plain,
op(op(e2,e2),op(e2,e2)) = op(op(e2,e2),op(e2,e2)),
introduced(tautology,[refl,[$fot(op(op(e2,e2),op(e2,e2)))]]) ).
cnf(refute_13_71,plain,
( op(e2,e2) != e4
| op(op(e2,e2),op(e2,e2)) != op(op(e2,e2),op(e2,e2))
| op(op(e2,e2),op(e2,e2)) = op(e4,op(e2,e2)) ),
introduced(tautology,[equality,[$cnf( $equal(op(op(e2,e2),op(e2,e2)),op(op(e2,e2),op(e2,e2))) ),[1,0],$fot(e4)]]) ).
cnf(refute_13_72,plain,
( op(e2,e2) != e4
| op(op(e2,e2),op(e2,e2)) = op(e4,op(e2,e2)) ),
inference(resolve,[$cnf( $equal(op(op(e2,e2),op(e2,e2)),op(op(e2,e2),op(e2,e2))) )],[refute_13_70,refute_13_71]) ).
cnf(refute_13_73,plain,
op(op(e2,e2),op(e2,e2)) = op(e4,op(e2,e2)),
inference(resolve,[$cnf( $equal(op(e2,e2),e4) )],[refute_13_18,refute_13_72]) ).
cnf(refute_13_74,plain,
( op(e4,op(e2,e2)) != op(e4,e4)
| op(op(e2,e2),op(e2,e2)) != op(e4,op(e2,e2))
| op(op(e2,e2),op(e2,e2)) = op(e4,e4) ),
inference(subst,[],[refute_13_48:[bind(X,$fot(op(op(e2,e2),op(e2,e2)))),bind(Y,$fot(op(e4,op(e2,e2)))),bind(Z,$fot(op(e4,e4)))]]) ).
cnf(refute_13_75,plain,
( op(e4,op(e2,e2)) != op(e4,e4)
| op(op(e2,e2),op(e2,e2)) = op(e4,e4) ),
inference(resolve,[$cnf( $equal(op(op(e2,e2),op(e2,e2)),op(e4,op(e2,e2))) )],[refute_13_73,refute_13_74]) ).
cnf(refute_13_76,plain,
op(op(e2,e2),op(e2,e2)) = op(e4,e4),
inference(resolve,[$cnf( $equal(op(e4,op(e2,e2)),op(e4,e4)) )],[refute_13_69,refute_13_75]) ).
cnf(refute_13_77,plain,
( e0 != op(op(e2,e2),op(e2,e2))
| op(op(e2,e2),op(e2,e2)) != op(e4,e4)
| e0 = op(e4,e4) ),
introduced(tautology,[equality,[$cnf( ~ $equal(e0,op(e4,e4)) ),[0],$fot(op(op(e2,e2),op(e2,e2)))]]) ).
cnf(refute_13_78,plain,
( e0 != op(op(e2,e2),op(e2,e2))
| e0 = op(e4,e4) ),
inference(resolve,[$cnf( $equal(op(op(e2,e2),op(e2,e2)),op(e4,e4)) )],[refute_13_76,refute_13_77]) ).
cnf(refute_13_79,plain,
e0 = op(e4,e4),
inference(resolve,[$cnf( $equal(e0,op(op(e2,e2),op(e2,e2))) )],[refute_13_65,refute_13_78]) ).
cnf(refute_13_80,plain,
( e0 != op(e4,e4)
| op(e4,e4) = e0 ),
inference(subst,[],[refute_13_16:[bind(X,$fot(e0)),bind(Y,$fot(op(e4,e4)))]]) ).
cnf(refute_13_81,plain,
op(e4,e4) = e0,
inference(resolve,[$cnf( $equal(e0,op(e4,e4)) )],[refute_13_79,refute_13_80]) ).
cnf(refute_13_82,plain,
( op(e4,e0) != e0
| op(e4,e4) != e0
| op(e4,e0) = op(e4,e4) ),
introduced(tautology,[equality,[$cnf( ~ $equal(op(e4,e0),op(e4,e4)) ),[1],$fot(e0)]]) ).
cnf(refute_13_83,plain,
( op(e4,e0) != e0
| op(e4,e0) = op(e4,e4) ),
inference(resolve,[$cnf( $equal(op(e4,e4),e0) )],[refute_13_81,refute_13_82]) ).
cnf(refute_13_84,plain,
op(e4,e0) != e0,
inference(resolve,[$cnf( $equal(op(e4,e0),op(e4,e4)) )],[refute_13_83,refute_13_64]) ).
cnf(refute_13_85,plain,
( unit = e0
| unit = e1 ),
inference(resolve,[$cnf( $equal(op(e4,e0),e0) )],[refute_13_63,refute_13_84]) ).
cnf(refute_13_86,plain,
( op(unit,e0) != e0
| unit != e1
| op(e1,e0) = e0 ),
introduced(tautology,[equality,[$cnf( $equal(op(unit,e0),e0) ),[0,0],$fot(e1)]]) ).
cnf(refute_13_87,plain,
( op(unit,e0) != e0
| op(e1,e0) = e0
| unit = e0 ),
inference(resolve,[$cnf( $equal(unit,e1) )],[refute_13_85,refute_13_86]) ).
cnf(refute_13_88,plain,
( op(e1,e0) = e0
| unit = e0 ),
inference(resolve,[$cnf( $equal(op(unit,e0),e0) )],[refute_13_4,refute_13_87]) ).
cnf(refute_13_89,plain,
( op(e1,e0) != e0
| op(e1,op(e1,e0)) = e0 ),
introduced(tautology,[equality,[$cnf( ~ $equal(op(e1,op(e1,e0)),e0) ),[0,1],$fot(e0)]]) ).
cnf(refute_13_90,plain,
( op(e1,op(e1,e0)) = e0
| unit = e0 ),
inference(resolve,[$cnf( $equal(op(e1,e0),e0) )],[refute_13_88,refute_13_89]) ).
cnf(refute_13_91,plain,
( ~ definitionFOFtoCNF_54
| unit = e0 ),
inference(resolve,[$cnf( $equal(op(e1,op(e1,e0)),e0) )],[refute_13_90,refute_13_3]) ).
cnf(refute_13_92,plain,
op(e2,e1) != op(e2,e3),
inference(canonicalize,[],[normalize_13_21]) ).
cnf(refute_13_93,plain,
op(e1,e1) != op(e2,e1),
inference(canonicalize,[],[normalize_13_22]) ).
cnf(refute_13_94,plain,
op(e2,e0) != op(e2,e1),
inference(canonicalize,[],[normalize_13_23]) ).
cnf(refute_13_95,plain,
( op(e2,unit) != e2
| unit != e0
| op(e2,e0) = e2 ),
introduced(tautology,[equality,[$cnf( $equal(op(e2,unit),e2) ),[0,1],$fot(e0)]]) ).
cnf(refute_13_96,plain,
( op(e2,unit) != e2
| op(e2,e0) = e2
| unit = e1 ),
inference(resolve,[$cnf( $equal(unit,e0) )],[refute_13_85,refute_13_95]) ).
cnf(refute_13_97,plain,
( op(e2,e0) = e2
| unit = e1 ),
inference(resolve,[$cnf( $equal(op(e2,unit),e2) )],[refute_13_2,refute_13_96]) ).
cnf(refute_13_98,plain,
( e2 != op(e2,e1)
| op(e2,e0) != e2
| op(e2,e0) = op(e2,e1) ),
introduced(tautology,[equality,[$cnf( $equal(op(e2,e0),e2) ),[1],$fot(op(e2,e1))]]) ).
cnf(refute_13_99,plain,
( e2 != op(e2,e1)
| op(e2,e0) = op(e2,e1)
| unit = e1 ),
inference(resolve,[$cnf( $equal(op(e2,e0),e2) )],[refute_13_97,refute_13_98]) ).
cnf(refute_13_100,plain,
( e2 != op(e2,e1)
| unit = e1 ),
inference(resolve,[$cnf( $equal(op(e2,e0),op(e2,e1)) )],[refute_13_99,refute_13_94]) ).
cnf(refute_13_101,plain,
op(e0,e1) != op(e2,e1),
inference(canonicalize,[],[normalize_13_24]) ).
cnf(refute_13_102,plain,
( op(e2,e1) = e0
| op(e2,e1) = e1
| op(e2,e1) = e2
| op(e2,e1) = e3
| op(e2,e1) = e4 ),
inference(canonicalize,[],[normalize_13_26]) ).
cnf(refute_13_103,plain,
op(e2,e1) != op(e2,e2),
inference(canonicalize,[],[normalize_13_27]) ).
cnf(refute_13_104,plain,
( op(e2,e1) != e4
| op(e2,e2) != e4
| op(e2,e1) = op(e2,e2) ),
introduced(tautology,[equality,[$cnf( ~ $equal(op(e2,e1),op(e2,e2)) ),[1],$fot(e4)]]) ).
cnf(refute_13_105,plain,
( op(e2,e1) != e4
| op(e2,e1) = op(e2,e2) ),
inference(resolve,[$cnf( $equal(op(e2,e2),e4) )],[refute_13_18,refute_13_104]) ).
cnf(refute_13_106,plain,
op(e2,e1) != e4,
inference(resolve,[$cnf( $equal(op(e2,e1),op(e2,e2)) )],[refute_13_105,refute_13_103]) ).
cnf(refute_13_107,plain,
( op(e2,e1) = e0
| op(e2,e1) = e1
| op(e2,e1) = e2
| op(e2,e1) = e3 ),
inference(resolve,[$cnf( $equal(op(e2,e1),e4) )],[refute_13_102,refute_13_106]) ).
cnf(refute_13_108,plain,
op(e2,e1) != op(e2,e4),
inference(canonicalize,[],[normalize_13_28]) ).
cnf(refute_13_109,plain,
( op(e2,e1) != e3
| op(e2,e4) != e3
| op(e2,e1) = op(e2,e4) ),
introduced(tautology,[equality,[$cnf( ~ $equal(op(e2,e1),op(e2,e4)) ),[1],$fot(e3)]]) ).
cnf(refute_13_110,plain,
( op(e2,e1) != e3
| op(e2,e1) = op(e2,e4) ),
inference(resolve,[$cnf( $equal(op(e2,e4),e3) )],[refute_13_27,refute_13_109]) ).
cnf(refute_13_111,plain,
op(e2,e1) != e3,
inference(resolve,[$cnf( $equal(op(e2,e1),op(e2,e4)) )],[refute_13_110,refute_13_108]) ).
cnf(refute_13_112,plain,
( op(e2,e1) = e0
| op(e2,e1) = e1
| op(e2,e1) = e2 ),
inference(resolve,[$cnf( $equal(op(e2,e1),e3) )],[refute_13_107,refute_13_111]) ).
cnf(refute_13_113,plain,
( op(e0,e1) != e1
| op(e2,e1) != e1
| op(e0,e1) = op(e2,e1) ),
introduced(tautology,[equality,[$cnf( ~ $equal(op(e0,e1),op(e2,e1)) ),[1],$fot(e1)]]) ).
cnf(refute_13_114,plain,
( op(e0,e1) != e1
| op(e0,e1) = op(e2,e1)
| op(e2,e1) = e0
| op(e2,e1) = e2 ),
inference(resolve,[$cnf( $equal(op(e2,e1),e1) )],[refute_13_112,refute_13_113]) ).
cnf(refute_13_115,plain,
( op(e0,e1) != e1
| op(e2,e1) = e0
| op(e2,e1) = e2 ),
inference(resolve,[$cnf( $equal(op(e0,e1),op(e2,e1)) )],[refute_13_114,refute_13_101]) ).
cnf(refute_13_116,plain,
( op(unit,e1) != e1
| unit != e0
| op(e0,e1) = e1 ),
introduced(tautology,[equality,[$cnf( $equal(op(unit,e1),e1) ),[0,0],$fot(e0)]]) ).
cnf(refute_13_117,plain,
( op(unit,e1) != e1
| op(e0,e1) = e1
| unit = e1 ),
inference(resolve,[$cnf( $equal(unit,e0) )],[refute_13_85,refute_13_116]) ).
cnf(refute_13_118,plain,
( op(e0,e1) = e1
| unit = e1 ),
inference(resolve,[$cnf( $equal(op(unit,e1),e1) )],[refute_13_5,refute_13_117]) ).
cnf(refute_13_119,plain,
( e1 != e1
| op(e0,e1) != e1
| op(e0,e1) = e1 ),
introduced(tautology,[equality,[$cnf( $equal(op(e0,e1),e1) ),[0,1],$fot(e1)]]) ).
cnf(refute_13_120,plain,
( e1 != e1
| op(e0,e1) = e1
| unit = e1 ),
inference(resolve,[$cnf( $equal(op(e0,e1),e1) )],[refute_13_118,refute_13_119]) ).
cnf(refute_13_121,plain,
( e1 != e1
| op(e2,e1) = e0
| op(e2,e1) = e2
| unit = e1 ),
inference(resolve,[$cnf( $equal(op(e0,e1),e1) )],[refute_13_120,refute_13_115]) ).
cnf(refute_13_122,plain,
e1 = e1,
introduced(tautology,[refl,[$fot(e1)]]) ).
cnf(refute_13_123,plain,
( op(e2,e1) = e0
| op(e2,e1) = e2
| unit = e1 ),
inference(resolve,[$cnf( $equal(e1,e1) )],[refute_13_122,refute_13_121]) ).
cnf(refute_13_124,plain,
( e2 != e2
| op(e2,e1) != e2
| e2 = op(e2,e1) ),
introduced(tautology,[equality,[$cnf( ~ $equal(e2,op(e2,e1)) ),[1],$fot(e2)]]) ).
cnf(refute_13_125,plain,
( e2 != e2
| e2 = op(e2,e1)
| op(e2,e1) = e0
| unit = e1 ),
inference(resolve,[$cnf( $equal(op(e2,e1),e2) )],[refute_13_123,refute_13_124]) ).
cnf(refute_13_126,plain,
( e2 != e2
| op(e2,e1) = e0
| unit = e1 ),
inference(resolve,[$cnf( $equal(e2,op(e2,e1)) )],[refute_13_125,refute_13_100]) ).
cnf(refute_13_127,plain,
e2 = e2,
introduced(tautology,[refl,[$fot(e2)]]) ).
cnf(refute_13_128,plain,
( op(e2,e1) = e0
| unit = e1 ),
inference(resolve,[$cnf( $equal(e2,e2) )],[refute_13_127,refute_13_126]) ).
cnf(refute_13_129,plain,
( op(e1,e1) != e0
| op(e2,e1) != e0
| op(e1,e1) = op(e2,e1) ),
introduced(tautology,[equality,[$cnf( ~ $equal(op(e1,e1),op(e2,e1)) ),[1],$fot(e0)]]) ).
cnf(refute_13_130,plain,
( op(e1,e1) != e0
| op(e1,e1) = op(e2,e1)
| unit = e1 ),
inference(resolve,[$cnf( $equal(op(e2,e1),e0) )],[refute_13_128,refute_13_129]) ).
cnf(refute_13_131,plain,
( op(e1,e1) != e0
| unit = e1 ),
inference(resolve,[$cnf( $equal(op(e1,e1),op(e2,e1)) )],[refute_13_130,refute_13_93]) ).
cnf(refute_13_132,plain,
( op(e0,op(e1,e0)) != e1
| op(e1,op(e1,e0)) = e0
| definitionFOFtoCNF_54 ),
inference(canonicalize,[],[normalize_13_29]) ).
cnf(refute_13_133,plain,
op(e1,unit) = e1,
inference(canonicalize,[],[normalize_13_30]) ).
cnf(refute_13_134,plain,
( op(e1,unit) != e1
| unit != e0
| op(e1,e0) = e1 ),
introduced(tautology,[equality,[$cnf( $equal(op(e1,unit),e1) ),[0,1],$fot(e0)]]) ).
cnf(refute_13_135,plain,
( op(e1,unit) != e1
| op(e1,e0) = e1
| unit = e1 ),
inference(resolve,[$cnf( $equal(unit,e0) )],[refute_13_85,refute_13_134]) ).
cnf(refute_13_136,plain,
( op(e1,e0) = e1
| unit = e1 ),
inference(resolve,[$cnf( $equal(op(e1,unit),e1) )],[refute_13_133,refute_13_135]) ).
cnf(refute_13_137,plain,
( op(e0,e1) != e1
| op(e1,e0) != e1
| op(e0,op(e1,e0)) = e1 ),
introduced(tautology,[equality,[$cnf( ~ $equal(op(e0,op(e1,e0)),e1) ),[0,1],$fot(e1)]]) ).
cnf(refute_13_138,plain,
( op(e0,e1) != e1
| op(e0,op(e1,e0)) = e1
| unit = e1 ),
inference(resolve,[$cnf( $equal(op(e1,e0),e1) )],[refute_13_136,refute_13_137]) ).
cnf(refute_13_139,plain,
( op(e0,e1) != e1
| op(e1,op(e1,e0)) = e0
| unit = e1
| definitionFOFtoCNF_54 ),
inference(resolve,[$cnf( $equal(op(e0,op(e1,e0)),e1) )],[refute_13_138,refute_13_132]) ).
cnf(refute_13_140,plain,
( e1 != e1
| op(e1,op(e1,e0)) = e0
| unit = e1
| definitionFOFtoCNF_54 ),
inference(resolve,[$cnf( $equal(op(e0,e1),e1) )],[refute_13_120,refute_13_139]) ).
cnf(refute_13_141,plain,
( op(e1,op(e1,e0)) = e0
| unit = e1
| definitionFOFtoCNF_54 ),
inference(resolve,[$cnf( $equal(e1,e1) )],[refute_13_122,refute_13_140]) ).
cnf(refute_13_142,plain,
( op(e1,e0) != e1
| op(e1,op(e1,e0)) != e0
| op(e1,e1) = e0 ),
introduced(tautology,[equality,[$cnf( $equal(op(e1,op(e1,e0)),e0) ),[0,1],$fot(e1)]]) ).
cnf(refute_13_143,plain,
( op(e1,op(e1,e0)) != e0
| op(e1,e1) = e0
| unit = e1 ),
inference(resolve,[$cnf( $equal(op(e1,e0),e1) )],[refute_13_136,refute_13_142]) ).
cnf(refute_13_144,plain,
( op(e1,e1) = e0
| unit = e1
| definitionFOFtoCNF_54 ),
inference(resolve,[$cnf( $equal(op(e1,op(e1,e0)),e0) )],[refute_13_141,refute_13_143]) ).
cnf(refute_13_145,plain,
( e0 != e0
| op(e1,e1) != e0
| op(e1,e1) = e0 ),
introduced(tautology,[equality,[$cnf( $equal(op(e1,e1),e0) ),[1],$fot(e0)]]) ).
cnf(refute_13_146,plain,
( e0 != e0
| op(e1,e1) = e0
| unit = e1
| definitionFOFtoCNF_54 ),
inference(resolve,[$cnf( $equal(op(e1,e1),e0) )],[refute_13_144,refute_13_145]) ).
cnf(refute_13_147,plain,
( e0 != e0
| unit = e1
| definitionFOFtoCNF_54 ),
inference(resolve,[$cnf( $equal(op(e1,e1),e0) )],[refute_13_146,refute_13_131]) ).
cnf(refute_13_148,plain,
e0 = e0,
introduced(tautology,[refl,[$fot(e0)]]) ).
cnf(refute_13_149,plain,
( unit = e1
| definitionFOFtoCNF_54 ),
inference(resolve,[$cnf( $equal(e0,e0) )],[refute_13_148,refute_13_147]) ).
cnf(refute_13_150,plain,
( op(e2,unit) != e2
| unit != e1
| op(e2,e1) = e2 ),
introduced(tautology,[equality,[$cnf( $equal(op(e2,unit),e2) ),[0,1],$fot(e1)]]) ).
cnf(refute_13_151,plain,
( op(e2,unit) != e2
| op(e2,e1) = e2
| definitionFOFtoCNF_54 ),
inference(resolve,[$cnf( $equal(unit,e1) )],[refute_13_149,refute_13_150]) ).
cnf(refute_13_152,plain,
( op(e2,e1) = e2
| definitionFOFtoCNF_54 ),
inference(resolve,[$cnf( $equal(op(e2,unit),e2) )],[refute_13_2,refute_13_151]) ).
cnf(refute_13_153,plain,
( e2 != op(e2,e3)
| op(e2,e1) != e2
| op(e2,e1) = op(e2,e3) ),
introduced(tautology,[equality,[$cnf( $equal(op(e2,e1),e2) ),[1],$fot(op(e2,e3))]]) ).
cnf(refute_13_154,plain,
( e2 != op(e2,e3)
| op(e2,e1) = op(e2,e3)
| definitionFOFtoCNF_54 ),
inference(resolve,[$cnf( $equal(op(e2,e1),e2) )],[refute_13_152,refute_13_153]) ).
cnf(refute_13_155,plain,
( e2 != op(e2,e3)
| definitionFOFtoCNF_54 ),
inference(resolve,[$cnf( $equal(op(e2,e1),op(e2,e3)) )],[refute_13_154,refute_13_92]) ).
cnf(refute_13_156,plain,
op(e1,e0) != op(e2,e0),
inference(canonicalize,[],[normalize_13_31]) ).
cnf(refute_13_157,plain,
( op(unit,e0) != e0
| op(e1,e0) = e0
| definitionFOFtoCNF_54 ),
inference(resolve,[$cnf( $equal(unit,e1) )],[refute_13_149,refute_13_86]) ).
cnf(refute_13_158,plain,
( op(e1,e0) = e0
| definitionFOFtoCNF_54 ),
inference(resolve,[$cnf( $equal(op(unit,e0),e0) )],[refute_13_4,refute_13_157]) ).
cnf(refute_13_159,plain,
( e0 != op(e2,e0)
| op(e1,e0) != e0
| op(e1,e0) = op(e2,e0) ),
introduced(tautology,[equality,[$cnf( $equal(op(e1,e0),e0) ),[1],$fot(op(e2,e0))]]) ).
cnf(refute_13_160,plain,
( e0 != op(e2,e0)
| op(e1,e0) = op(e2,e0)
| definitionFOFtoCNF_54 ),
inference(resolve,[$cnf( $equal(op(e1,e0),e0) )],[refute_13_158,refute_13_159]) ).
cnf(refute_13_161,plain,
( e0 != op(e2,e0)
| definitionFOFtoCNF_54 ),
inference(resolve,[$cnf( $equal(op(e1,e0),op(e2,e0)) )],[refute_13_160,refute_13_156]) ).
cnf(refute_13_162,plain,
( op(e2,e0) = e0
| op(e2,e0) = e1
| op(e2,e0) = e2
| op(e2,e0) = e3
| op(e2,e0) = e4 ),
inference(canonicalize,[],[normalize_13_32]) ).
cnf(refute_13_163,plain,
op(e2,e0) != op(e2,e2),
inference(canonicalize,[],[normalize_13_33]) ).
cnf(refute_13_164,plain,
( op(e2,e0) != e4
| op(e2,e2) != e4
| op(e2,e0) = op(e2,e2) ),
introduced(tautology,[equality,[$cnf( ~ $equal(op(e2,e0),op(e2,e2)) ),[1],$fot(e4)]]) ).
cnf(refute_13_165,plain,
( op(e2,e0) != e4
| op(e2,e0) = op(e2,e2) ),
inference(resolve,[$cnf( $equal(op(e2,e2),e4) )],[refute_13_18,refute_13_164]) ).
cnf(refute_13_166,plain,
op(e2,e0) != e4,
inference(resolve,[$cnf( $equal(op(e2,e0),op(e2,e2)) )],[refute_13_165,refute_13_163]) ).
cnf(refute_13_167,plain,
( op(e2,e0) = e0
| op(e2,e0) = e1
| op(e2,e0) = e2
| op(e2,e0) = e3 ),
inference(resolve,[$cnf( $equal(op(e2,e0),e4) )],[refute_13_162,refute_13_166]) ).
cnf(refute_13_168,plain,
op(e2,e0) != op(e2,e4),
inference(canonicalize,[],[normalize_13_34]) ).
cnf(refute_13_169,plain,
( op(e2,e0) != e3
| op(e2,e4) != e3
| op(e2,e0) = op(e2,e4) ),
introduced(tautology,[equality,[$cnf( ~ $equal(op(e2,e0),op(e2,e4)) ),[1],$fot(e3)]]) ).
cnf(refute_13_170,plain,
( op(e2,e0) != e3
| op(e2,e0) = op(e2,e4) ),
inference(resolve,[$cnf( $equal(op(e2,e4),e3) )],[refute_13_27,refute_13_169]) ).
cnf(refute_13_171,plain,
op(e2,e0) != e3,
inference(resolve,[$cnf( $equal(op(e2,e0),op(e2,e4)) )],[refute_13_170,refute_13_168]) ).
cnf(refute_13_172,plain,
( op(e2,e0) = e0
| op(e2,e0) = e1
| op(e2,e0) = e2 ),
inference(resolve,[$cnf( $equal(op(e2,e0),e3) )],[refute_13_167,refute_13_171]) ).
cnf(refute_13_173,plain,
( e2 != op(e2,e1)
| op(e2,e0) = e0
| op(e2,e0) = e1
| op(e2,e0) = op(e2,e1) ),
inference(resolve,[$cnf( $equal(op(e2,e0),e2) )],[refute_13_172,refute_13_98]) ).
cnf(refute_13_174,plain,
( e2 != op(e2,e1)
| op(e2,e0) = e0
| op(e2,e0) = e1 ),
inference(resolve,[$cnf( $equal(op(e2,e0),op(e2,e1)) )],[refute_13_173,refute_13_94]) ).
cnf(refute_13_175,plain,
( e2 != e2
| e2 = op(e2,e1)
| definitionFOFtoCNF_54 ),
inference(resolve,[$cnf( $equal(op(e2,e1),e2) )],[refute_13_152,refute_13_124]) ).
cnf(refute_13_176,plain,
( e2 != e2
| op(e2,e0) = e0
| op(e2,e0) = e1
| definitionFOFtoCNF_54 ),
inference(resolve,[$cnf( $equal(e2,op(e2,e1)) )],[refute_13_175,refute_13_174]) ).
cnf(refute_13_177,plain,
( op(e2,e0) = e0
| op(e2,e0) = e1
| definitionFOFtoCNF_54 ),
inference(resolve,[$cnf( $equal(e2,e2) )],[refute_13_127,refute_13_176]) ).
cnf(refute_13_178,plain,
( e0 != e0
| op(e2,e0) != e0
| e0 = op(e2,e0) ),
introduced(tautology,[equality,[$cnf( ~ $equal(e0,op(e2,e0)) ),[1],$fot(e0)]]) ).
cnf(refute_13_179,plain,
( e0 != e0
| e0 = op(e2,e0)
| op(e2,e0) = e1
| definitionFOFtoCNF_54 ),
inference(resolve,[$cnf( $equal(op(e2,e0),e0) )],[refute_13_177,refute_13_178]) ).
cnf(refute_13_180,plain,
( e0 != e0
| op(e2,e0) = e1
| definitionFOFtoCNF_54 ),
inference(resolve,[$cnf( $equal(e0,op(e2,e0)) )],[refute_13_179,refute_13_161]) ).
cnf(refute_13_181,plain,
( op(e2,e0) = e1
| definitionFOFtoCNF_54 ),
inference(resolve,[$cnf( $equal(e0,e0) )],[refute_13_148,refute_13_180]) ).
cnf(refute_13_182,plain,
( e1 != op(e2,e3)
| op(e2,e0) != e1
| op(e2,e0) = op(e2,e3) ),
introduced(tautology,[equality,[$cnf( $equal(op(e2,e0),e1) ),[1],$fot(op(e2,e3))]]) ).
cnf(refute_13_183,plain,
( e1 != op(e2,e3)
| op(e2,e0) = op(e2,e3)
| definitionFOFtoCNF_54 ),
inference(resolve,[$cnf( $equal(op(e2,e0),e1) )],[refute_13_181,refute_13_182]) ).
cnf(refute_13_184,plain,
( e1 != op(e2,e3)
| definitionFOFtoCNF_54 ),
inference(resolve,[$cnf( $equal(op(e2,e0),op(e2,e3)) )],[refute_13_183,refute_13_1]) ).
cnf(refute_13_185,plain,
op(e3,e2) != op(e2,e3),
inference(canonicalize,[],[normalize_13_35]) ).
cnf(refute_13_186,plain,
op(e1,e2) != op(e3,e2),
inference(canonicalize,[],[normalize_13_36]) ).
cnf(refute_13_187,plain,
op(unit,e2) = e2,
inference(canonicalize,[],[normalize_13_37]) ).
cnf(refute_13_188,plain,
( op(unit,e2) != e2
| unit != e1
| op(e1,e2) = e2 ),
introduced(tautology,[equality,[$cnf( $equal(op(unit,e2),e2) ),[0,0],$fot(e1)]]) ).
cnf(refute_13_189,plain,
( op(unit,e2) != e2
| op(e1,e2) = e2
| definitionFOFtoCNF_54 ),
inference(resolve,[$cnf( $equal(unit,e1) )],[refute_13_149,refute_13_188]) ).
cnf(refute_13_190,plain,
( op(e1,e2) = e2
| definitionFOFtoCNF_54 ),
inference(resolve,[$cnf( $equal(op(unit,e2),e2) )],[refute_13_187,refute_13_189]) ).
cnf(refute_13_191,plain,
( e2 != op(e3,e2)
| op(e1,e2) != e2
| op(e1,e2) = op(e3,e2) ),
introduced(tautology,[equality,[$cnf( $equal(op(e1,e2),e2) ),[1],$fot(op(e3,e2))]]) ).
cnf(refute_13_192,plain,
( e2 != op(e3,e2)
| op(e1,e2) = op(e3,e2)
| definitionFOFtoCNF_54 ),
inference(resolve,[$cnf( $equal(op(e1,e2),e2) )],[refute_13_190,refute_13_191]) ).
cnf(refute_13_193,plain,
( e2 != op(e3,e2)
| definitionFOFtoCNF_54 ),
inference(resolve,[$cnf( $equal(op(e1,e2),op(e3,e2)) )],[refute_13_192,refute_13_186]) ).
cnf(refute_13_194,plain,
op(e3,e1) != op(e3,e2),
inference(canonicalize,[],[normalize_13_38]) ).
cnf(refute_13_195,plain,
( op(e3,e2) = e0
| op(e3,e2) = e1
| op(e3,e2) = e2
| op(e3,e2) = e3
| op(e3,e2) = e4 ),
inference(canonicalize,[],[normalize_13_39]) ).
cnf(refute_13_196,plain,
op(e2,e2) != op(e3,e2),
inference(canonicalize,[],[normalize_13_40]) ).
cnf(refute_13_197,plain,
( e4 != op(e3,e2)
| op(e2,e2) != e4
| op(e2,e2) = op(e3,e2) ),
introduced(tautology,[equality,[$cnf( $equal(op(e2,e2),e4) ),[1],$fot(op(e3,e2))]]) ).
cnf(refute_13_198,plain,
( e4 != op(e3,e2)
| op(e2,e2) = op(e3,e2) ),
inference(resolve,[$cnf( $equal(op(e2,e2),e4) )],[refute_13_18,refute_13_197]) ).
cnf(refute_13_199,plain,
e4 != op(e3,e2),
inference(resolve,[$cnf( $equal(op(e2,e2),op(e3,e2)) )],[refute_13_198,refute_13_196]) ).
cnf(refute_13_200,plain,
( op(e3,e2) != e4
| e4 = op(e3,e2) ),
inference(subst,[],[refute_13_16:[bind(X,$fot(op(e3,e2))),bind(Y,$fot(e4))]]) ).
cnf(refute_13_201,plain,
op(e3,e2) != e4,
inference(resolve,[$cnf( $equal(e4,op(e3,e2)) )],[refute_13_200,refute_13_199]) ).
cnf(refute_13_202,plain,
( op(e3,e2) = e0
| op(e3,e2) = e1
| op(e3,e2) = e2
| op(e3,e2) = e3 ),
inference(resolve,[$cnf( $equal(op(e3,e2),e4) )],[refute_13_195,refute_13_201]) ).
cnf(refute_13_203,plain,
op(e3,e2) != op(e3,e4),
inference(canonicalize,[],[normalize_13_41]) ).
cnf(refute_13_204,plain,
( op(e3,e2) != e1
| op(e3,e4) != e1
| op(e3,e2) = op(e3,e4) ),
introduced(tautology,[equality,[$cnf( ~ $equal(op(e3,e2),op(e3,e4)) ),[1],$fot(e1)]]) ).
cnf(refute_13_205,plain,
( op(e3,e2) != e1
| op(e3,e2) = op(e3,e4) ),
inference(resolve,[$cnf( $equal(op(e3,e4),e1) )],[refute_13_56,refute_13_204]) ).
cnf(refute_13_206,plain,
op(e3,e2) != e1,
inference(resolve,[$cnf( $equal(op(e3,e2),op(e3,e4)) )],[refute_13_205,refute_13_203]) ).
cnf(refute_13_207,plain,
( op(e3,e2) = e0
| op(e3,e2) = e2
| op(e3,e2) = e3 ),
inference(resolve,[$cnf( $equal(op(e3,e2),e1) )],[refute_13_202,refute_13_206]) ).
cnf(refute_13_208,plain,
( op(e3,e1) != e3
| op(e3,e2) != e3
| op(e3,e1) = op(e3,e2) ),
introduced(tautology,[equality,[$cnf( ~ $equal(op(e3,e1),op(e3,e2)) ),[1],$fot(e3)]]) ).
cnf(refute_13_209,plain,
( op(e3,e1) != e3
| op(e3,e1) = op(e3,e2)
| op(e3,e2) = e0
| op(e3,e2) = e2 ),
inference(resolve,[$cnf( $equal(op(e3,e2),e3) )],[refute_13_207,refute_13_208]) ).
cnf(refute_13_210,plain,
( op(e3,e1) != e3
| op(e3,e2) = e0
| op(e3,e2) = e2 ),
inference(resolve,[$cnf( $equal(op(e3,e1),op(e3,e2)) )],[refute_13_209,refute_13_194]) ).
cnf(refute_13_211,plain,
op(e3,unit) = e3,
inference(canonicalize,[],[normalize_13_42]) ).
cnf(refute_13_212,plain,
( op(e3,unit) != e3
| unit != e1
| op(e3,e1) = e3 ),
introduced(tautology,[equality,[$cnf( $equal(op(e3,unit),e3) ),[0,1],$fot(e1)]]) ).
cnf(refute_13_213,plain,
( op(e3,unit) != e3
| op(e3,e1) = e3
| definitionFOFtoCNF_54 ),
inference(resolve,[$cnf( $equal(unit,e1) )],[refute_13_149,refute_13_212]) ).
cnf(refute_13_214,plain,
( op(e3,e1) = e3
| definitionFOFtoCNF_54 ),
inference(resolve,[$cnf( $equal(op(e3,unit),e3) )],[refute_13_211,refute_13_213]) ).
cnf(refute_13_215,plain,
( e3 != e3
| op(e3,e1) != e3
| op(e3,e1) = e3 ),
introduced(tautology,[equality,[$cnf( $equal(op(e3,e1),e3) ),[0,0],$fot(e3)]]) ).
cnf(refute_13_216,plain,
( e3 != e3
| op(e3,e1) = e3
| definitionFOFtoCNF_54 ),
inference(resolve,[$cnf( $equal(op(e3,e1),e3) )],[refute_13_214,refute_13_215]) ).
cnf(refute_13_217,plain,
( e3 != e3
| op(e3,e2) = e0
| op(e3,e2) = e2
| definitionFOFtoCNF_54 ),
inference(resolve,[$cnf( $equal(op(e3,e1),e3) )],[refute_13_216,refute_13_210]) ).
cnf(refute_13_218,plain,
e3 = e3,
introduced(tautology,[refl,[$fot(e3)]]) ).
cnf(refute_13_219,plain,
( op(e3,e2) = e0
| op(e3,e2) = e2
| definitionFOFtoCNF_54 ),
inference(resolve,[$cnf( $equal(e3,e3) )],[refute_13_218,refute_13_217]) ).
cnf(refute_13_220,plain,
( e2 != e2
| op(e3,e2) != e2
| e2 = op(e3,e2) ),
introduced(tautology,[equality,[$cnf( ~ $equal(e2,op(e3,e2)) ),[1],$fot(e2)]]) ).
cnf(refute_13_221,plain,
( e2 != e2
| e2 = op(e3,e2)
| op(e3,e2) = e0
| definitionFOFtoCNF_54 ),
inference(resolve,[$cnf( $equal(op(e3,e2),e2) )],[refute_13_219,refute_13_220]) ).
cnf(refute_13_222,plain,
( e2 != e2
| op(e3,e2) = e0
| definitionFOFtoCNF_54 ),
inference(resolve,[$cnf( $equal(e2,op(e3,e2)) )],[refute_13_221,refute_13_193]) ).
cnf(refute_13_223,plain,
( op(e3,e2) = e0
| definitionFOFtoCNF_54 ),
inference(resolve,[$cnf( $equal(e2,e2) )],[refute_13_127,refute_13_222]) ).
cnf(refute_13_224,plain,
( e0 != op(e2,e3)
| op(e3,e2) != e0
| op(e3,e2) = op(e2,e3) ),
introduced(tautology,[equality,[$cnf( $equal(op(e3,e2),e0) ),[1],$fot(op(e2,e3))]]) ).
cnf(refute_13_225,plain,
( e0 != op(e2,e3)
| op(e3,e2) = op(e2,e3)
| definitionFOFtoCNF_54 ),
inference(resolve,[$cnf( $equal(op(e3,e2),e0) )],[refute_13_223,refute_13_224]) ).
cnf(refute_13_226,plain,
( e0 != op(e2,e3)
| definitionFOFtoCNF_54 ),
inference(resolve,[$cnf( $equal(op(e3,e2),op(e2,e3)) )],[refute_13_225,refute_13_185]) ).
cnf(refute_13_227,plain,
( op(e2,e3) = e0
| op(e2,e3) = e1
| op(e2,e3) = e2
| op(e2,e3) = e3
| op(e2,e3) = e4 ),
inference(canonicalize,[],[normalize_13_43]) ).
cnf(refute_13_228,plain,
op(e2,e2) != op(e2,e3),
inference(canonicalize,[],[normalize_13_44]) ).
cnf(refute_13_229,plain,
( e4 != op(e2,e3)
| op(e2,e2) != e4
| op(e2,e2) = op(e2,e3) ),
introduced(tautology,[equality,[$cnf( $equal(op(e2,e2),e4) ),[1],$fot(op(e2,e3))]]) ).
cnf(refute_13_230,plain,
( e4 != op(e2,e3)
| op(e2,e2) = op(e2,e3) ),
inference(resolve,[$cnf( $equal(op(e2,e2),e4) )],[refute_13_18,refute_13_229]) ).
cnf(refute_13_231,plain,
e4 != op(e2,e3),
inference(resolve,[$cnf( $equal(op(e2,e2),op(e2,e3)) )],[refute_13_230,refute_13_228]) ).
cnf(refute_13_232,plain,
( op(e2,e3) != e4
| e4 = op(e2,e3) ),
inference(subst,[],[refute_13_16:[bind(X,$fot(op(e2,e3))),bind(Y,$fot(e4))]]) ).
cnf(refute_13_233,plain,
op(e2,e3) != e4,
inference(resolve,[$cnf( $equal(e4,op(e2,e3)) )],[refute_13_232,refute_13_231]) ).
cnf(refute_13_234,plain,
( op(e2,e3) = e0
| op(e2,e3) = e1
| op(e2,e3) = e2
| op(e2,e3) = e3 ),
inference(resolve,[$cnf( $equal(op(e2,e3),e4) )],[refute_13_227,refute_13_233]) ).
cnf(refute_13_235,plain,
( op(e2,e3) = e0
| op(e2,e3) = e1
| op(e2,e3) = e2 ),
inference(resolve,[$cnf( $equal(op(e2,e3),e3) )],[refute_13_234,refute_13_30]) ).
cnf(refute_13_236,plain,
( e0 != e0
| op(e2,e3) != e0
| e0 = op(e2,e3) ),
introduced(tautology,[equality,[$cnf( ~ $equal(e0,op(e2,e3)) ),[1],$fot(e0)]]) ).
cnf(refute_13_237,plain,
( e0 != e0
| e0 = op(e2,e3)
| op(e2,e3) = e1
| op(e2,e3) = e2 ),
inference(resolve,[$cnf( $equal(op(e2,e3),e0) )],[refute_13_235,refute_13_236]) ).
cnf(refute_13_238,plain,
( e0 != e0
| op(e2,e3) = e1
| op(e2,e3) = e2
| definitionFOFtoCNF_54 ),
inference(resolve,[$cnf( $equal(e0,op(e2,e3)) )],[refute_13_237,refute_13_226]) ).
cnf(refute_13_239,plain,
( op(e2,e3) = e1
| op(e2,e3) = e2
| definitionFOFtoCNF_54 ),
inference(resolve,[$cnf( $equal(e0,e0) )],[refute_13_148,refute_13_238]) ).
cnf(refute_13_240,plain,
( e1 != e1
| op(e2,e3) != e1
| e1 = op(e2,e3) ),
introduced(tautology,[equality,[$cnf( ~ $equal(e1,op(e2,e3)) ),[1],$fot(e1)]]) ).
cnf(refute_13_241,plain,
( e1 != e1
| e1 = op(e2,e3)
| op(e2,e3) = e2
| definitionFOFtoCNF_54 ),
inference(resolve,[$cnf( $equal(op(e2,e3),e1) )],[refute_13_239,refute_13_240]) ).
cnf(refute_13_242,plain,
( e1 != e1
| op(e2,e3) = e2
| definitionFOFtoCNF_54 ),
inference(resolve,[$cnf( $equal(e1,op(e2,e3)) )],[refute_13_241,refute_13_184]) ).
cnf(refute_13_243,plain,
( op(e2,e3) = e2
| definitionFOFtoCNF_54 ),
inference(resolve,[$cnf( $equal(e1,e1) )],[refute_13_122,refute_13_242]) ).
cnf(refute_13_244,plain,
( e2 != e2
| op(e2,e3) != e2
| e2 = op(e2,e3) ),
introduced(tautology,[equality,[$cnf( ~ $equal(e2,op(e2,e3)) ),[1],$fot(e2)]]) ).
cnf(refute_13_245,plain,
( e2 != e2
| e2 = op(e2,e3)
| definitionFOFtoCNF_54 ),
inference(resolve,[$cnf( $equal(op(e2,e3),e2) )],[refute_13_243,refute_13_244]) ).
cnf(refute_13_246,plain,
( e2 != e2
| definitionFOFtoCNF_54 ),
inference(resolve,[$cnf( $equal(e2,op(e2,e3)) )],[refute_13_245,refute_13_155]) ).
cnf(refute_13_247,plain,
definitionFOFtoCNF_54,
inference(resolve,[$cnf( $equal(e2,e2) )],[refute_13_127,refute_13_246]) ).
cnf(refute_13_248,plain,
unit = e0,
inference(resolve,[$cnf( definitionFOFtoCNF_54 )],[refute_13_247,refute_13_91]) ).
cnf(refute_13_249,plain,
op(e2,unit) = op(e2,unit),
introduced(tautology,[refl,[$fot(op(e2,unit))]]) ).
cnf(refute_13_250,plain,
( op(e2,unit) != op(e2,unit)
| unit != e0
| op(e2,unit) = op(e2,e0) ),
introduced(tautology,[equality,[$cnf( $equal(op(e2,unit),op(e2,unit)) ),[1,1],$fot(e0)]]) ).
cnf(refute_13_251,plain,
( unit != e0
| op(e2,unit) = op(e2,e0) ),
inference(resolve,[$cnf( $equal(op(e2,unit),op(e2,unit)) )],[refute_13_249,refute_13_250]) ).
cnf(refute_13_252,plain,
op(e2,unit) = op(e2,e0),
inference(resolve,[$cnf( $equal(unit,e0) )],[refute_13_248,refute_13_251]) ).
cnf(refute_13_253,plain,
( op(e2,unit) != e2
| op(e2,unit) != op(e2,e0)
| op(e2,e0) = e2 ),
introduced(tautology,[equality,[$cnf( $equal(op(e2,unit),e2) ),[0],$fot(op(e2,e0))]]) ).
cnf(refute_13_254,plain,
( op(e2,unit) != e2
| op(e2,e0) = e2 ),
inference(resolve,[$cnf( $equal(op(e2,unit),op(e2,e0)) )],[refute_13_252,refute_13_253]) ).
cnf(refute_13_255,plain,
op(e2,e0) = e2,
inference(resolve,[$cnf( $equal(op(e2,unit),e2) )],[refute_13_2,refute_13_254]) ).
cnf(refute_13_256,plain,
( e2 != op(e2,e3)
| op(e2,e0) != e2
| op(e2,e0) = op(e2,e3) ),
introduced(tautology,[equality,[$cnf( $equal(op(e2,e0),e2) ),[1],$fot(op(e2,e3))]]) ).
cnf(refute_13_257,plain,
( e2 != op(e2,e3)
| op(e2,e0) = op(e2,e3) ),
inference(resolve,[$cnf( $equal(op(e2,e0),e2) )],[refute_13_255,refute_13_256]) ).
cnf(refute_13_258,plain,
e2 != op(e2,e3),
inference(resolve,[$cnf( $equal(op(e2,e0),op(e2,e3)) )],[refute_13_257,refute_13_1]) ).
cnf(refute_13_259,plain,
( e2 != e2
| e2 = op(e2,e3)
| op(e2,e3) = e0
| op(e2,e3) = e1 ),
inference(resolve,[$cnf( $equal(op(e2,e3),e2) )],[refute_13_235,refute_13_244]) ).
cnf(refute_13_260,plain,
( e2 != e2
| op(e2,e3) = e0
| op(e2,e3) = e1 ),
inference(resolve,[$cnf( $equal(e2,op(e2,e3)) )],[refute_13_259,refute_13_258]) ).
cnf(refute_13_261,plain,
( op(e2,e3) = e0
| op(e2,e3) = e1 ),
inference(resolve,[$cnf( $equal(e2,e2) )],[refute_13_127,refute_13_260]) ).
cnf(refute_13_262,plain,
( unit != e0
| unit != e1
| e0 = e1 ),
introduced(tautology,[equality,[$cnf( $equal(unit,e1) ),[0],$fot(e0)]]) ).
cnf(refute_13_263,plain,
( unit != e1
| e0 = e1 ),
inference(resolve,[$cnf( $equal(unit,e0) )],[refute_13_248,refute_13_262]) ).
cnf(refute_13_264,plain,
( e0 = e1
| op(e2,e1) = e0 ),
inference(resolve,[$cnf( $equal(unit,e1) )],[refute_13_128,refute_13_263]) ).
cnf(refute_13_265,plain,
e0 != e1,
inference(canonicalize,[],[normalize_13_46]) ).
cnf(refute_13_266,plain,
op(e2,e1) = e0,
inference(resolve,[$cnf( $equal(e0,e1) )],[refute_13_264,refute_13_265]) ).
cnf(refute_13_267,plain,
( e0 != op(e2,e3)
| op(e2,e1) != e0
| op(e2,e1) = op(e2,e3) ),
introduced(tautology,[equality,[$cnf( $equal(op(e2,e1),e0) ),[1],$fot(op(e2,e3))]]) ).
cnf(refute_13_268,plain,
( e0 != op(e2,e3)
| op(e2,e1) = op(e2,e3) ),
inference(resolve,[$cnf( $equal(op(e2,e1),e0) )],[refute_13_266,refute_13_267]) ).
cnf(refute_13_269,plain,
e0 != op(e2,e3),
inference(resolve,[$cnf( $equal(op(e2,e1),op(e2,e3)) )],[refute_13_268,refute_13_92]) ).
cnf(refute_13_270,plain,
( op(e2,e3) != e0
| e0 = op(e2,e3) ),
inference(subst,[],[refute_13_16:[bind(X,$fot(op(e2,e3))),bind(Y,$fot(e0))]]) ).
cnf(refute_13_271,plain,
op(e2,e3) != e0,
inference(resolve,[$cnf( $equal(e0,op(e2,e3)) )],[refute_13_270,refute_13_269]) ).
cnf(refute_13_272,plain,
op(e2,e3) = e1,
inference(resolve,[$cnf( $equal(op(e2,e3),e0) )],[refute_13_261,refute_13_271]) ).
cnf(refute_13_273,plain,
op(op(e2,e3),e3) = op(op(e2,e3),e3),
introduced(tautology,[refl,[$fot(op(op(e2,e3),e3))]]) ).
cnf(refute_13_274,plain,
( op(e2,e3) != e1
| op(op(e2,e3),e3) != op(op(e2,e3),e3)
| op(op(e2,e3),e3) = op(e1,e3) ),
introduced(tautology,[equality,[$cnf( $equal(op(op(e2,e3),e3),op(op(e2,e3),e3)) ),[1,0],$fot(e1)]]) ).
cnf(refute_13_275,plain,
( op(e2,e3) != e1
| op(op(e2,e3),e3) = op(e1,e3) ),
inference(resolve,[$cnf( $equal(op(op(e2,e3),e3),op(op(e2,e3),e3)) )],[refute_13_273,refute_13_274]) ).
cnf(refute_13_276,plain,
op(op(e2,e3),e3) = op(e1,e3),
inference(resolve,[$cnf( $equal(op(e2,e3),e1) )],[refute_13_272,refute_13_275]) ).
cnf(refute_13_277,plain,
( op(op(e2,e3),e3) != e2
| op(op(e2,e3),e3) != op(e1,e3)
| op(e1,e3) = e2 ),
introduced(tautology,[equality,[$cnf( $equal(op(op(e2,e3),e3),e2) ),[0],$fot(op(e1,e3))]]) ).
cnf(refute_13_278,plain,
( op(op(e2,e3),e3) != e2
| op(e1,e3) = e2 ),
inference(resolve,[$cnf( $equal(op(op(e2,e3),e3),op(e1,e3)) )],[refute_13_276,refute_13_277]) ).
cnf(refute_13_279,plain,
op(e1,e3) = e2,
inference(resolve,[$cnf( $equal(op(op(e2,e3),e3),e2) )],[refute_13_0,refute_13_278]) ).
cnf(refute_13_280,plain,
op(e1,e3) != op(e4,e3),
inference(canonicalize,[],[normalize_13_47]) ).
cnf(refute_13_281,plain,
( op(e4,e0) = e2
| op(e4,e1) = e2
| op(e4,e2) = e2
| op(e4,e3) = e2
| op(e4,e4) = e2 ),
inference(canonicalize,[],[normalize_13_49]) ).
cnf(refute_13_282,plain,
( op(e4,e4) != e0
| op(e4,e4) != e2
| e0 = e2 ),
introduced(tautology,[equality,[$cnf( $equal(op(e4,e4),e2) ),[0],$fot(e0)]]) ).
cnf(refute_13_283,plain,
( op(e4,e4) != e2
| e0 = e2 ),
inference(resolve,[$cnf( $equal(op(e4,e4),e0) )],[refute_13_81,refute_13_282]) ).
cnf(refute_13_284,plain,
( e0 = e2
| op(e4,e0) = e2
| op(e4,e1) = e2
| op(e4,e2) = e2
| op(e4,e3) = e2 ),
inference(resolve,[$cnf( $equal(op(e4,e4),e2) )],[refute_13_281,refute_13_283]) ).
cnf(refute_13_285,plain,
e0 != e2,
inference(canonicalize,[],[normalize_13_50]) ).
cnf(refute_13_286,plain,
( op(e4,e0) = e2
| op(e4,e1) = e2
| op(e4,e2) = e2
| op(e4,e3) = e2 ),
inference(resolve,[$cnf( $equal(e0,e2) )],[refute_13_284,refute_13_285]) ).
cnf(refute_13_287,plain,
op(e4,unit) = e4,
inference(canonicalize,[],[normalize_13_51]) ).
cnf(refute_13_288,plain,
op(e4,unit) = op(e4,unit),
introduced(tautology,[refl,[$fot(op(e4,unit))]]) ).
cnf(refute_13_289,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_290,plain,
( unit != e0
| op(e4,unit) = op(e4,e0) ),
inference(resolve,[$cnf( $equal(op(e4,unit),op(e4,unit)) )],[refute_13_288,refute_13_289]) ).
cnf(refute_13_291,plain,
op(e4,unit) = op(e4,e0),
inference(resolve,[$cnf( $equal(unit,e0) )],[refute_13_248,refute_13_290]) ).
cnf(refute_13_292,plain,
( op(e4,unit) != e4
| op(e4,unit) != op(e4,e0)
| op(e4,e0) = e4 ),
introduced(tautology,[equality,[$cnf( $equal(op(e4,unit),e4) ),[0],$fot(op(e4,e0))]]) ).
cnf(refute_13_293,plain,
( op(e4,unit) != e4
| op(e4,e0) = e4 ),
inference(resolve,[$cnf( $equal(op(e4,unit),op(e4,e0)) )],[refute_13_291,refute_13_292]) ).
cnf(refute_13_294,plain,
op(e4,e0) = e4,
inference(resolve,[$cnf( $equal(op(e4,unit),e4) )],[refute_13_287,refute_13_293]) ).
cnf(refute_13_295,plain,
( op(e4,e0) != e2
| op(e4,e0) != e4
| e4 = e2 ),
introduced(tautology,[equality,[$cnf( $equal(op(e4,e0),e2) ),[0],$fot(e4)]]) ).
cnf(refute_13_296,plain,
( op(e4,e0) != e2
| e4 = e2 ),
inference(resolve,[$cnf( $equal(op(e4,e0),e4) )],[refute_13_294,refute_13_295]) ).
cnf(refute_13_297,plain,
( e4 = e2
| op(e4,e1) = e2
| op(e4,e2) = e2
| op(e4,e3) = e2 ),
inference(resolve,[$cnf( $equal(op(e4,e0),e2) )],[refute_13_286,refute_13_296]) ).
cnf(refute_13_298,plain,
op(e1,e2) != op(e4,e2),
inference(canonicalize,[],[normalize_13_52]) ).
cnf(refute_13_299,plain,
op(e0,e2) != op(e1,e2),
inference(canonicalize,[],[normalize_13_53]) ).
cnf(refute_13_300,plain,
( op(unit,e2) != e2
| unit != e0
| op(e0,e2) = e2 ),
introduced(tautology,[equality,[$cnf( $equal(op(unit,e2),e2) ),[0,0],$fot(e0)]]) ).
cnf(refute_13_301,plain,
( op(unit,e2) != e2
| op(e0,e2) = e2
| unit = e1 ),
inference(resolve,[$cnf( $equal(unit,e0) )],[refute_13_85,refute_13_300]) ).
cnf(refute_13_302,plain,
( op(e0,e2) = e2
| unit = e1 ),
inference(resolve,[$cnf( $equal(op(unit,e2),e2) )],[refute_13_187,refute_13_301]) ).
cnf(refute_13_303,plain,
( e2 != op(e1,e2)
| op(e0,e2) != e2
| op(e0,e2) = op(e1,e2) ),
introduced(tautology,[equality,[$cnf( $equal(op(e0,e2),e2) ),[1],$fot(op(e1,e2))]]) ).
cnf(refute_13_304,plain,
( e2 != op(e1,e2)
| op(e0,e2) = op(e1,e2)
| unit = e1 ),
inference(resolve,[$cnf( $equal(op(e0,e2),e2) )],[refute_13_302,refute_13_303]) ).
cnf(refute_13_305,plain,
( e2 != op(e1,e2)
| unit = e1 ),
inference(resolve,[$cnf( $equal(op(e0,e2),op(e1,e2)) )],[refute_13_304,refute_13_299]) ).
cnf(refute_13_306,plain,
op(e1,e0) != op(e1,e2),
inference(canonicalize,[],[normalize_13_54]) ).
cnf(refute_13_307,plain,
( e1 != op(e1,e2)
| op(e1,e0) != e1
| op(e1,e0) = op(e1,e2) ),
introduced(tautology,[equality,[$cnf( $equal(op(e1,e0),e1) ),[1],$fot(op(e1,e2))]]) ).
cnf(refute_13_308,plain,
( e1 != op(e1,e2)
| op(e1,e0) = op(e1,e2)
| unit = e1 ),
inference(resolve,[$cnf( $equal(op(e1,e0),e1) )],[refute_13_136,refute_13_307]) ).
cnf(refute_13_309,plain,
( e1 != op(e1,e2)
| unit = e1 ),
inference(resolve,[$cnf( $equal(op(e1,e0),op(e1,e2)) )],[refute_13_308,refute_13_306]) ).
cnf(refute_13_310,plain,
op(e3,e0) != op(e3,e2),
inference(canonicalize,[],[normalize_13_55]) ).
cnf(refute_13_311,plain,
( op(e3,unit) != e3
| unit != e0
| op(e3,e0) = e3 ),
introduced(tautology,[equality,[$cnf( $equal(op(e3,unit),e3) ),[0,1],$fot(e0)]]) ).
cnf(refute_13_312,plain,
( op(e3,unit) != e3
| op(e3,e0) = e3
| unit = e1 ),
inference(resolve,[$cnf( $equal(unit,e0) )],[refute_13_85,refute_13_311]) ).
cnf(refute_13_313,plain,
( op(e3,e0) = e3
| unit = e1 ),
inference(resolve,[$cnf( $equal(op(e3,unit),e3) )],[refute_13_211,refute_13_312]) ).
cnf(refute_13_314,plain,
( e3 != op(e3,e2)
| op(e3,e0) != e3
| op(e3,e0) = op(e3,e2) ),
introduced(tautology,[equality,[$cnf( $equal(op(e3,e0),e3) ),[1],$fot(op(e3,e2))]]) ).
cnf(refute_13_315,plain,
( e3 != op(e3,e2)
| op(e3,e0) = op(e3,e2)
| unit = e1 ),
inference(resolve,[$cnf( $equal(op(e3,e0),e3) )],[refute_13_313,refute_13_314]) ).
cnf(refute_13_316,plain,
( e3 != op(e3,e2)
| unit = e1 ),
inference(resolve,[$cnf( $equal(op(e3,e0),op(e3,e2)) )],[refute_13_315,refute_13_310]) ).
cnf(refute_13_317,plain,
op(e0,e2) != op(e3,e2),
inference(canonicalize,[],[normalize_13_56]) ).
cnf(refute_13_318,plain,
( op(e0,e2) != e2
| op(e3,e2) != e2
| op(e0,e2) = op(e3,e2) ),
introduced(tautology,[equality,[$cnf( ~ $equal(op(e0,e2),op(e3,e2)) ),[1],$fot(e2)]]) ).
cnf(refute_13_319,plain,
( op(e0,e2) != e2
| op(e0,e2) = op(e3,e2)
| op(e3,e2) = e0
| op(e3,e2) = e3 ),
inference(resolve,[$cnf( $equal(op(e3,e2),e2) )],[refute_13_207,refute_13_318]) ).
cnf(refute_13_320,plain,
( op(e0,e2) != e2
| op(e3,e2) = e0
| op(e3,e2) = e3 ),
inference(resolve,[$cnf( $equal(op(e0,e2),op(e3,e2)) )],[refute_13_319,refute_13_317]) ).
cnf(refute_13_321,plain,
( e2 != e2
| op(e0,e2) != e2
| op(e0,e2) = e2 ),
introduced(tautology,[equality,[$cnf( $equal(op(e0,e2),e2) ),[0,1],$fot(e2)]]) ).
cnf(refute_13_322,plain,
( e2 != e2
| op(e0,e2) = e2
| unit = e1 ),
inference(resolve,[$cnf( $equal(op(e0,e2),e2) )],[refute_13_302,refute_13_321]) ).
cnf(refute_13_323,plain,
( e2 != e2
| op(e3,e2) = e0
| op(e3,e2) = e3
| unit = e1 ),
inference(resolve,[$cnf( $equal(op(e0,e2),e2) )],[refute_13_322,refute_13_320]) ).
cnf(refute_13_324,plain,
( op(e3,e2) = e0
| op(e3,e2) = e3
| unit = e1 ),
inference(resolve,[$cnf( $equal(e2,e2) )],[refute_13_127,refute_13_323]) ).
cnf(refute_13_325,plain,
( e3 != e3
| op(e3,e2) != e3
| e3 = op(e3,e2) ),
introduced(tautology,[equality,[$cnf( ~ $equal(e3,op(e3,e2)) ),[1],$fot(e3)]]) ).
cnf(refute_13_326,plain,
( e3 != e3
| e3 = op(e3,e2)
| op(e3,e2) = e0
| unit = e1 ),
inference(resolve,[$cnf( $equal(op(e3,e2),e3) )],[refute_13_324,refute_13_325]) ).
cnf(refute_13_327,plain,
( e3 != e3
| op(e3,e2) = e0
| unit = e1 ),
inference(resolve,[$cnf( $equal(e3,op(e3,e2)) )],[refute_13_326,refute_13_316]) ).
cnf(refute_13_328,plain,
( op(e3,e2) = e0
| unit = e1 ),
inference(resolve,[$cnf( $equal(e3,e3) )],[refute_13_218,refute_13_327]) ).
cnf(refute_13_329,plain,
( op(e1,e2) != e0
| op(e3,e2) != e0
| op(e1,e2) = op(e3,e2) ),
introduced(tautology,[equality,[$cnf( ~ $equal(op(e1,e2),op(e3,e2)) ),[1],$fot(e0)]]) ).
cnf(refute_13_330,plain,
( op(e1,e2) != e0
| op(e1,e2) = op(e3,e2)
| unit = e1 ),
inference(resolve,[$cnf( $equal(op(e3,e2),e0) )],[refute_13_328,refute_13_329]) ).
cnf(refute_13_331,plain,
( op(e1,e2) != e0
| unit = e1 ),
inference(resolve,[$cnf( $equal(op(e1,e2),op(e3,e2)) )],[refute_13_330,refute_13_186]) ).
cnf(refute_13_332,plain,
( op(e1,e2) = e0
| op(e1,e2) = e1
| op(e1,e2) = e2
| op(e1,e2) = e3
| op(e1,e2) = e4 ),
inference(canonicalize,[],[normalize_13_57]) ).
cnf(refute_13_333,plain,
op(e1,e2) != op(e2,e2),
inference(canonicalize,[],[normalize_13_58]) ).
cnf(refute_13_334,plain,
( op(e1,e2) != e4
| op(e2,e2) != e4
| op(e1,e2) = op(e2,e2) ),
introduced(tautology,[equality,[$cnf( ~ $equal(op(e1,e2),op(e2,e2)) ),[1],$fot(e4)]]) ).
cnf(refute_13_335,plain,
( op(e1,e2) != e4
| op(e1,e2) = op(e2,e2) ),
inference(resolve,[$cnf( $equal(op(e2,e2),e4) )],[refute_13_18,refute_13_334]) ).
cnf(refute_13_336,plain,
op(e1,e2) != e4,
inference(resolve,[$cnf( $equal(op(e1,e2),op(e2,e2)) )],[refute_13_335,refute_13_333]) ).
cnf(refute_13_337,plain,
( op(e1,e2) = e0
| op(e1,e2) = e1
| op(e1,e2) = e2
| op(e1,e2) = e3 ),
inference(resolve,[$cnf( $equal(op(e1,e2),e4) )],[refute_13_332,refute_13_336]) ).
cnf(refute_13_338,plain,
( e0 != e0
| op(e1,e2) != e0
| op(e1,e2) = e0 ),
introduced(tautology,[equality,[$cnf( $equal(op(e1,e2),e0) ),[1],$fot(e0)]]) ).
cnf(refute_13_339,plain,
( e0 != e0
| op(e1,e2) = e0
| op(e1,e2) = e1
| op(e1,e2) = e2
| op(e1,e2) = e3 ),
inference(resolve,[$cnf( $equal(op(e1,e2),e0) )],[refute_13_337,refute_13_338]) ).
cnf(refute_13_340,plain,
( e0 != e0
| op(e1,e2) = e1
| op(e1,e2) = e2
| op(e1,e2) = e3
| unit = e1 ),
inference(resolve,[$cnf( $equal(op(e1,e2),e0) )],[refute_13_339,refute_13_331]) ).
cnf(refute_13_341,plain,
( op(e1,e2) = e1
| op(e1,e2) = e2
| op(e1,e2) = e3
| unit = e1 ),
inference(resolve,[$cnf( $equal(e0,e0) )],[refute_13_148,refute_13_340]) ).
cnf(refute_13_342,plain,
( e1 != e1
| op(e1,e2) != e1
| e1 = op(e1,e2) ),
introduced(tautology,[equality,[$cnf( ~ $equal(e1,op(e1,e2)) ),[1],$fot(e1)]]) ).
cnf(refute_13_343,plain,
( e1 != e1
| e1 = op(e1,e2)
| op(e1,e2) = e2
| op(e1,e2) = e3
| unit = e1 ),
inference(resolve,[$cnf( $equal(op(e1,e2),e1) )],[refute_13_341,refute_13_342]) ).
cnf(refute_13_344,plain,
( e1 != e1
| op(e1,e2) = e2
| op(e1,e2) = e3
| unit = e1 ),
inference(resolve,[$cnf( $equal(e1,op(e1,e2)) )],[refute_13_343,refute_13_309]) ).
cnf(refute_13_345,plain,
( op(e1,e2) = e2
| op(e1,e2) = e3
| unit = e1 ),
inference(resolve,[$cnf( $equal(e1,e1) )],[refute_13_122,refute_13_344]) ).
cnf(refute_13_346,plain,
( e2 != e2
| op(e1,e2) != e2
| e2 = op(e1,e2) ),
introduced(tautology,[equality,[$cnf( ~ $equal(e2,op(e1,e2)) ),[1],$fot(e2)]]) ).
cnf(refute_13_347,plain,
( e2 != e2
| e2 = op(e1,e2)
| op(e1,e2) = e3
| unit = e1 ),
inference(resolve,[$cnf( $equal(op(e1,e2),e2) )],[refute_13_345,refute_13_346]) ).
cnf(refute_13_348,plain,
( e2 != e2
| op(e1,e2) = e3
| unit = e1 ),
inference(resolve,[$cnf( $equal(e2,op(e1,e2)) )],[refute_13_347,refute_13_305]) ).
cnf(refute_13_349,plain,
( op(e1,e2) = e3
| unit = e1 ),
inference(resolve,[$cnf( $equal(e2,e2) )],[refute_13_127,refute_13_348]) ).
cnf(refute_13_350,plain,
( e3 != op(e4,e2)
| op(e1,e2) != e3
| op(e1,e2) = op(e4,e2) ),
introduced(tautology,[equality,[$cnf( $equal(op(e1,e2),e3) ),[1],$fot(op(e4,e2))]]) ).
cnf(refute_13_351,plain,
( e3 != op(e4,e2)
| op(e1,e2) = op(e4,e2)
| unit = e1 ),
inference(resolve,[$cnf( $equal(op(e1,e2),e3) )],[refute_13_349,refute_13_350]) ).
cnf(refute_13_352,plain,
( e3 != op(e4,e2)
| unit = e1 ),
inference(resolve,[$cnf( $equal(op(e1,e2),op(e4,e2)) )],[refute_13_351,refute_13_298]) ).
cnf(refute_13_353,plain,
op(e0,e3) != op(e4,e3),
inference(canonicalize,[],[normalize_13_59]) ).
cnf(refute_13_354,plain,
( op(unit,e3) != e3
| unit != e0
| op(e0,e3) = e3 ),
introduced(tautology,[equality,[$cnf( $equal(op(unit,e3),e3) ),[0,0],$fot(e0)]]) ).
cnf(refute_13_355,plain,
( op(unit,e3) != e3
| op(e0,e3) = e3
| unit = e1 ),
inference(resolve,[$cnf( $equal(unit,e0) )],[refute_13_85,refute_13_354]) ).
cnf(refute_13_356,plain,
( op(e0,e3) = e3
| unit = e1 ),
inference(resolve,[$cnf( $equal(op(unit,e3),e3) )],[refute_13_6,refute_13_355]) ).
cnf(refute_13_357,plain,
( e3 != op(e4,e3)
| op(e0,e3) != e3
| op(e0,e3) = op(e4,e3) ),
introduced(tautology,[equality,[$cnf( $equal(op(e0,e3),e3) ),[1],$fot(op(e4,e3))]]) ).
cnf(refute_13_358,plain,
( e3 != op(e4,e3)
| op(e0,e3) = op(e4,e3)
| unit = e1 ),
inference(resolve,[$cnf( $equal(op(e0,e3),e3) )],[refute_13_356,refute_13_357]) ).
cnf(refute_13_359,plain,
( e3 != op(e4,e3)
| unit = e1 ),
inference(resolve,[$cnf( $equal(op(e0,e3),op(e4,e3)) )],[refute_13_358,refute_13_353]) ).
cnf(refute_13_360,plain,
( op(e4,e0) = e3
| op(e4,e1) = e3
| op(e4,e2) = e3
| op(e4,e3) = e3
| op(e4,e4) = e3 ),
inference(canonicalize,[],[normalize_13_60]) ).
cnf(refute_13_361,plain,
( op(e4,e4) != e0
| op(e4,e4) != e3
| e0 = e3 ),
introduced(tautology,[equality,[$cnf( $equal(op(e4,e4),e3) ),[0],$fot(e0)]]) ).
cnf(refute_13_362,plain,
( op(e4,e4) != e3
| e0 = e3 ),
inference(resolve,[$cnf( $equal(op(e4,e4),e0) )],[refute_13_81,refute_13_361]) ).
cnf(refute_13_363,plain,
( e0 = e3
| op(e4,e0) = e3
| op(e4,e1) = e3
| op(e4,e2) = e3
| op(e4,e3) = e3 ),
inference(resolve,[$cnf( $equal(op(e4,e4),e3) )],[refute_13_360,refute_13_362]) ).
cnf(refute_13_364,plain,
e0 != e3,
inference(canonicalize,[],[normalize_13_61]) ).
cnf(refute_13_365,plain,
( op(e4,e0) = e3
| op(e4,e1) = e3
| op(e4,e2) = e3
| op(e4,e3) = e3 ),
inference(resolve,[$cnf( $equal(e0,e3) )],[refute_13_363,refute_13_364]) ).
cnf(refute_13_366,plain,
( e3 != e3
| op(e4,e3) != e3
| e3 = op(e4,e3) ),
introduced(tautology,[equality,[$cnf( ~ $equal(e3,op(e4,e3)) ),[1],$fot(e3)]]) ).
cnf(refute_13_367,plain,
( e3 != e3
| e3 = op(e4,e3)
| op(e4,e0) = e3
| op(e4,e1) = e3
| op(e4,e2) = e3 ),
inference(resolve,[$cnf( $equal(op(e4,e3),e3) )],[refute_13_365,refute_13_366]) ).
cnf(refute_13_368,plain,
( e3 != e3
| op(e4,e0) = e3
| op(e4,e1) = e3
| op(e4,e2) = e3
| unit = e1 ),
inference(resolve,[$cnf( $equal(e3,op(e4,e3)) )],[refute_13_367,refute_13_359]) ).
cnf(refute_13_369,plain,
( op(e4,e0) = e3
| op(e4,e1) = e3
| op(e4,e2) = e3
| unit = e1 ),
inference(resolve,[$cnf( $equal(e3,e3) )],[refute_13_218,refute_13_368]) ).
cnf(refute_13_370,plain,
( e3 != e3
| op(e4,e2) != e3
| e3 = op(e4,e2) ),
introduced(tautology,[equality,[$cnf( ~ $equal(e3,op(e4,e2)) ),[1],$fot(e3)]]) ).
cnf(refute_13_371,plain,
( e3 != e3
| e3 = op(e4,e2)
| op(e4,e0) = e3
| op(e4,e1) = e3
| unit = e1 ),
inference(resolve,[$cnf( $equal(op(e4,e2),e3) )],[refute_13_369,refute_13_370]) ).
cnf(refute_13_372,plain,
( e3 != e3
| op(e4,e0) = e3
| op(e4,e1) = e3
| unit = e1 ),
inference(resolve,[$cnf( $equal(e3,op(e4,e2)) )],[refute_13_371,refute_13_352]) ).
cnf(refute_13_373,plain,
( op(e4,e0) = e3
| op(e4,e1) = e3
| unit = e1 ),
inference(resolve,[$cnf( $equal(e3,e3) )],[refute_13_218,refute_13_372]) ).
cnf(refute_13_374,plain,
( op(e4,e0) != e3
| op(e4,e0) != e4
| e4 = e3 ),
introduced(tautology,[equality,[$cnf( $equal(op(e4,e0),e3) ),[0],$fot(e4)]]) ).
cnf(refute_13_375,plain,
( op(e4,e0) != e3
| e4 = e3 ),
inference(resolve,[$cnf( $equal(op(e4,e0),e4) )],[refute_13_294,refute_13_374]) ).
cnf(refute_13_376,plain,
( e4 = e3
| op(e4,e1) = e3
| unit = e1 ),
inference(resolve,[$cnf( $equal(op(e4,e0),e3) )],[refute_13_373,refute_13_375]) ).
cnf(refute_13_377,plain,
( e0 = e1
| e4 = e3
| op(e4,e1) = e3 ),
inference(resolve,[$cnf( $equal(unit,e1) )],[refute_13_376,refute_13_263]) ).
cnf(refute_13_378,plain,
( e4 = e3
| op(e4,e1) = e3 ),
inference(resolve,[$cnf( $equal(e0,e1) )],[refute_13_377,refute_13_265]) ).
cnf(refute_13_379,plain,
e3 != e4,
inference(canonicalize,[],[normalize_13_62]) ).
cnf(refute_13_380,plain,
( e4 != e3
| e3 = e4 ),
inference(subst,[],[refute_13_16:[bind(X,$fot(e4)),bind(Y,$fot(e3))]]) ).
cnf(refute_13_381,plain,
e4 != e3,
inference(resolve,[$cnf( $equal(e3,e4) )],[refute_13_380,refute_13_379]) ).
cnf(refute_13_382,plain,
op(e4,e1) = e3,
inference(resolve,[$cnf( $equal(e4,e3) )],[refute_13_378,refute_13_381]) ).
cnf(refute_13_383,plain,
( op(e4,e1) != e2
| op(e4,e1) != e3
| e3 = e2 ),
introduced(tautology,[equality,[$cnf( $equal(op(e4,e1),e2) ),[0],$fot(e3)]]) ).
cnf(refute_13_384,plain,
( op(e4,e1) != e2
| e3 = e2 ),
inference(resolve,[$cnf( $equal(op(e4,e1),e3) )],[refute_13_382,refute_13_383]) ).
cnf(refute_13_385,plain,
( e3 = e2
| e4 = e2
| op(e4,e2) = e2
| op(e4,e3) = e2 ),
inference(resolve,[$cnf( $equal(op(e4,e1),e2) )],[refute_13_297,refute_13_384]) ).
cnf(refute_13_386,plain,
op(e0,e2) != op(e4,e2),
inference(canonicalize,[],[normalize_13_63]) ).
cnf(refute_13_387,plain,
( op(e4,e2) = e0
| op(e4,e2) = e1
| op(e4,e2) = e2
| op(e4,e2) = e3
| op(e4,e2) = e4 ),
inference(canonicalize,[],[normalize_13_64]) ).
cnf(refute_13_388,plain,
op(e2,e2) != op(e4,e2),
inference(canonicalize,[],[normalize_13_65]) ).
cnf(refute_13_389,plain,
( e4 != op(e4,e2)
| op(e2,e2) != e4
| op(e2,e2) = op(e4,e2) ),
introduced(tautology,[equality,[$cnf( $equal(op(e2,e2),e4) ),[1],$fot(op(e4,e2))]]) ).
cnf(refute_13_390,plain,
( e4 != op(e4,e2)
| op(e2,e2) = op(e4,e2) ),
inference(resolve,[$cnf( $equal(op(e2,e2),e4) )],[refute_13_18,refute_13_389]) ).
cnf(refute_13_391,plain,
e4 != op(e4,e2),
inference(resolve,[$cnf( $equal(op(e2,e2),op(e4,e2)) )],[refute_13_390,refute_13_388]) ).
cnf(refute_13_392,plain,
( op(e4,e2) != e4
| e4 = op(e4,e2) ),
inference(subst,[],[refute_13_16:[bind(X,$fot(op(e4,e2))),bind(Y,$fot(e4))]]) ).
cnf(refute_13_393,plain,
op(e4,e2) != e4,
inference(resolve,[$cnf( $equal(e4,op(e4,e2)) )],[refute_13_392,refute_13_391]) ).
cnf(refute_13_394,plain,
( op(e4,e2) = e0
| op(e4,e2) = e1
| op(e4,e2) = e2
| op(e4,e2) = e3 ),
inference(resolve,[$cnf( $equal(op(e4,e2),e4) )],[refute_13_387,refute_13_393]) ).
cnf(refute_13_395,plain,
op(e4,e2) != op(e4,e4),
inference(canonicalize,[],[normalize_13_66]) ).
cnf(refute_13_396,plain,
( op(e4,e2) != e0
| op(e4,e4) != e0
| op(e4,e2) = op(e4,e4) ),
introduced(tautology,[equality,[$cnf( ~ $equal(op(e4,e2),op(e4,e4)) ),[1],$fot(e0)]]) ).
cnf(refute_13_397,plain,
( op(e4,e2) != e0
| op(e4,e2) = op(e4,e4) ),
inference(resolve,[$cnf( $equal(op(e4,e4),e0) )],[refute_13_81,refute_13_396]) ).
cnf(refute_13_398,plain,
op(e4,e2) != e0,
inference(resolve,[$cnf( $equal(op(e4,e2),op(e4,e4)) )],[refute_13_397,refute_13_395]) ).
cnf(refute_13_399,plain,
( op(e4,e2) = e1
| op(e4,e2) = e2
| op(e4,e2) = e3 ),
inference(resolve,[$cnf( $equal(op(e4,e2),e0) )],[refute_13_394,refute_13_398]) ).
cnf(refute_13_400,plain,
( op(e0,e2) != e2
| op(e4,e2) != e2
| op(e0,e2) = op(e4,e2) ),
introduced(tautology,[equality,[$cnf( ~ $equal(op(e0,e2),op(e4,e2)) ),[1],$fot(e2)]]) ).
cnf(refute_13_401,plain,
( op(e0,e2) != e2
| op(e0,e2) = op(e4,e2)
| op(e4,e2) = e1
| op(e4,e2) = e3 ),
inference(resolve,[$cnf( $equal(op(e4,e2),e2) )],[refute_13_399,refute_13_400]) ).
cnf(refute_13_402,plain,
( op(e0,e2) != e2
| op(e4,e2) = e1
| op(e4,e2) = e3 ),
inference(resolve,[$cnf( $equal(op(e0,e2),op(e4,e2)) )],[refute_13_401,refute_13_386]) ).
cnf(refute_13_403,plain,
( e2 != e2
| op(e4,e2) = e1
| op(e4,e2) = e3
| unit = e1 ),
inference(resolve,[$cnf( $equal(op(e0,e2),e2) )],[refute_13_322,refute_13_402]) ).
cnf(refute_13_404,plain,
( op(e4,e2) = e1
| op(e4,e2) = e3
| unit = e1 ),
inference(resolve,[$cnf( $equal(e2,e2) )],[refute_13_127,refute_13_403]) ).
cnf(refute_13_405,plain,
( e3 != e3
| e3 = op(e4,e2)
| op(e4,e2) = e1
| unit = e1 ),
inference(resolve,[$cnf( $equal(op(e4,e2),e3) )],[refute_13_404,refute_13_370]) ).
cnf(refute_13_406,plain,
( e3 != e3
| op(e4,e2) = e1
| unit = e1 ),
inference(resolve,[$cnf( $equal(e3,op(e4,e2)) )],[refute_13_405,refute_13_352]) ).
cnf(refute_13_407,plain,
( op(e4,e2) = e1
| unit = e1 ),
inference(resolve,[$cnf( $equal(e3,e3) )],[refute_13_218,refute_13_406]) ).
cnf(refute_13_408,plain,
( e0 = e1
| op(e4,e2) = e1 ),
inference(resolve,[$cnf( $equal(unit,e1) )],[refute_13_407,refute_13_263]) ).
cnf(refute_13_409,plain,
op(e4,e2) = e1,
inference(resolve,[$cnf( $equal(e0,e1) )],[refute_13_408,refute_13_265]) ).
cnf(refute_13_410,plain,
( op(e4,e2) != e1
| op(e4,e2) != e2
| e1 = e2 ),
introduced(tautology,[equality,[$cnf( $equal(op(e4,e2),e2) ),[0],$fot(e1)]]) ).
cnf(refute_13_411,plain,
( op(e4,e2) != e2
| e1 = e2 ),
inference(resolve,[$cnf( $equal(op(e4,e2),e1) )],[refute_13_409,refute_13_410]) ).
cnf(refute_13_412,plain,
( e1 = e2
| e3 = e2
| e4 = e2
| op(e4,e3) = e2 ),
inference(resolve,[$cnf( $equal(op(e4,e2),e2) )],[refute_13_385,refute_13_411]) ).
cnf(refute_13_413,plain,
e1 != e2,
inference(canonicalize,[],[normalize_13_67]) ).
cnf(refute_13_414,plain,
( e3 = e2
| e4 = e2
| op(e4,e3) = e2 ),
inference(resolve,[$cnf( $equal(e1,e2) )],[refute_13_412,refute_13_413]) ).
cnf(refute_13_415,plain,
e2 != e3,
inference(canonicalize,[],[normalize_13_68]) ).
cnf(refute_13_416,plain,
( e3 != e2
| e2 = e3 ),
inference(subst,[],[refute_13_16:[bind(X,$fot(e3)),bind(Y,$fot(e2))]]) ).
cnf(refute_13_417,plain,
e3 != e2,
inference(resolve,[$cnf( $equal(e2,e3) )],[refute_13_416,refute_13_415]) ).
cnf(refute_13_418,plain,
( e4 = e2
| op(e4,e3) = e2 ),
inference(resolve,[$cnf( $equal(e3,e2) )],[refute_13_414,refute_13_417]) ).
cnf(refute_13_419,plain,
e2 != e4,
inference(canonicalize,[],[normalize_13_69]) ).
cnf(refute_13_420,plain,
( e4 != e2
| e2 = e4 ),
inference(subst,[],[refute_13_16:[bind(X,$fot(e4)),bind(Y,$fot(e2))]]) ).
cnf(refute_13_421,plain,
e4 != e2,
inference(resolve,[$cnf( $equal(e2,e4) )],[refute_13_420,refute_13_419]) ).
cnf(refute_13_422,plain,
op(e4,e3) = e2,
inference(resolve,[$cnf( $equal(e4,e2) )],[refute_13_418,refute_13_421]) ).
cnf(refute_13_423,plain,
( op(e1,e3) != e2
| op(e4,e3) != e2
| op(e1,e3) = op(e4,e3) ),
introduced(tautology,[equality,[$cnf( ~ $equal(op(e1,e3),op(e4,e3)) ),[1],$fot(e2)]]) ).
cnf(refute_13_424,plain,
( op(e1,e3) != e2
| op(e1,e3) = op(e4,e3) ),
inference(resolve,[$cnf( $equal(op(e4,e3),e2) )],[refute_13_422,refute_13_423]) ).
cnf(refute_13_425,plain,
op(e1,e3) != e2,
inference(resolve,[$cnf( $equal(op(e1,e3),op(e4,e3)) )],[refute_13_424,refute_13_280]) ).
cnf(refute_13_426,plain,
$false,
inference(resolve,[$cnf( $equal(op(e1,e3),e2) )],[refute_13_279,refute_13_425]) ).
fof(negate_14_0,plain,
~ ( ( ( ( op(e0,op(e0,e0)) != e0
& op(e0,op(e0,e0)) = e0 )
| ( op(e1,op(e1,e0)) != e0
& op(e0,op(e1,e0)) = e1 )
| ( op(e2,op(e2,e0)) != e0
& op(e0,op(e2,e0)) = e2 )
| ( op(e3,op(e3,e0)) != e0
& op(e0,op(e3,e0)) = e3 )
| ( op(e4,op(e4,e0)) != e0
& op(e0,op(e4,e0)) = e4 ) )
& ( ( op(e0,op(e0,e1)) != e1
& op(e1,op(e0,e1)) = e0 )
| ( op(e1,op(e1,e1)) != e1
& op(e1,op(e1,e1)) = e1 )
| ( op(e2,op(e2,e1)) != e1
& op(e1,op(e2,e1)) = e2 )
| ( op(e3,op(e3,e1)) != e1
& op(e1,op(e3,e1)) = e3 )
| ( op(e4,op(e4,e1)) != e1
& op(e1,op(e4,e1)) = e4 ) )
& ( ( op(e0,op(e0,e2)) != e2
& op(e2,op(e0,e2)) = e0 )
| ( op(e1,op(e1,e2)) != e2
& op(e2,op(e1,e2)) = e1 )
| ( op(e2,op(e2,e2)) != e2
& op(e2,op(e2,e2)) = e2 )
| ( op(e3,op(e3,e2)) != e2
& op(e2,op(e3,e2)) = e3 )
| ( op(e4,op(e4,e2)) != e2
& op(e2,op(e4,e2)) = e4 ) )
& ( ( op(e0,op(e0,e3)) != e3
& op(e3,op(e0,e3)) = e0 )
| ( op(e1,op(e1,e3)) != e3
& op(e3,op(e1,e3)) = e1 )
| ( op(e2,op(e2,e3)) != e3
& op(e3,op(e2,e3)) = e2 )
| ( op(e3,op(e3,e3)) != e3
& op(e3,op(e3,e3)) = e3 )
| ( op(e4,op(e4,e3)) != e3
& op(e3,op(e4,e3)) = e4 ) )
& ( ( op(e0,op(e0,e4)) != e4
& op(e4,op(e0,e4)) = e0 )
| ( op(e1,op(e1,e4)) != e4
& op(e4,op(e1,e4)) = e1 )
| ( op(e2,op(e2,e4)) != e4
& op(e4,op(e2,e4)) = e2 )
| ( op(e3,op(e3,e4)) != e4
& op(e4,op(e3,e4)) = e3 )
| ( op(e4,op(e4,e4)) != e4
& op(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(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,op(e0,e1)) != e1
& op(e1,op(e0,e1)) = e0 )
| ( op(e2,op(e2,e1)) != e1
& op(e1,op(e2,e1)) = e2 )
| ( op(e3,op(e3,e1)) != e1
& op(e1,op(e3,e1)) = e3 )
| ( op(e4,op(e4,e1)) != e1
& op(e1,op(e4,e1)) = e4 ) )
& ( ( op(e0,op(e0,e2)) != e2
& op(e2,op(e0,e2)) = e0 )
| ( op(e1,op(e1,e2)) != e2
& op(e2,op(e1,e2)) = e1 )
| ( op(e3,op(e3,e2)) != e2
& op(e2,op(e3,e2)) = e3 )
| ( op(e4,op(e4,e2)) != e2
& op(e2,op(e4,e2)) = e4 ) )
& ( ( op(e0,op(e0,e3)) != e3
& op(e3,op(e0,e3)) = e0 )
| ( op(e1,op(e1,e3)) != e3
& op(e3,op(e1,e3)) = e1 )
| ( op(e2,op(e2,e3)) != e3
& op(e3,op(e2,e3)) = e2 )
| ( op(e4,op(e4,e3)) != e3
& op(e3,op(e4,e3)) = e4 ) )
& ( ( op(e0,op(e0,e4)) != e4
& op(e4,op(e0,e4)) = e0 )
| ( op(e1,op(e1,e4)) != e4
& op(e4,op(e1,e4)) = e1 )
| ( op(e2,op(e2,e4)) != e4
& op(e4,op(e2,e4)) = e2 )
| ( op(e3,op(e3,e4)) != e4
& op(e4,op(e3,e4)) = e3 ) )
& ( ( op(e1,op(e1,e0)) != e0
& op(e0,op(e1,e0)) = e1 )
| ( op(e2,op(e2,e0)) != e0
& op(e0,op(e2,e0)) = e2 )
| ( op(e3,op(e3,e0)) != e0
& op(e0,op(e3,e0)) = e3 )
| ( op(e4,op(e4,e0)) != e0
& op(e0,op(e4,e0)) = e4 ) ) ),
inference(canonicalize,[],[negate_14_0]) ).
fof(normalize_14_1,plain,
op(op(e2,e4),e4) = e2,
inference(conjunct,[],[normalize_14_0]) ).
fof(normalize_14_2,plain,
( e0 = op(op(e2,e2),op(e2,e2))
& e1 = op(op(e2,op(e2,e2)),op(e2,e2))
& e3 = op(e2,op(e2,e2))
& e4 = op(e2,e2) ),
inference(canonicalize,[],[ax6]) ).
fof(normalize_14_3,plain,
e1 = op(op(e2,op(e2,e2)),op(e2,e2)),
inference(conjunct,[],[normalize_14_2]) ).
fof(normalize_14_4,plain,
e4 = op(e2,e2),
inference(conjunct,[],[normalize_14_2]) ).
fof(normalize_14_5,plain,
e3 = op(e2,op(e2,e2)),
inference(conjunct,[],[normalize_14_2]) ).
fof(normalize_14_6,plain,
( e0 != e1
& e0 != e2
& e0 != e3
& e0 != e4
& e1 != e2
& e1 != e3
& e1 != e4
& e2 != e3
& e2 != e4
& e3 != e4 ),
inference(canonicalize,[],[ax5]) ).
fof(normalize_14_7,plain,
e1 != e2,
inference(conjunct,[],[normalize_14_6]) ).
cnf(refute_14_0,plain,
op(op(e2,e4),e4) = e2,
inference(canonicalize,[],[normalize_14_1]) ).
cnf(refute_14_1,plain,
e1 = op(op(e2,op(e2,e2)),op(e2,e2)),
inference(canonicalize,[],[normalize_14_3]) ).
cnf(refute_14_2,plain,
e4 = op(e2,e2),
inference(canonicalize,[],[normalize_14_4]) ).
cnf(refute_14_3,plain,
X = X,
introduced(tautology,[refl,[$fot(X)]]) ).
cnf(refute_14_4,plain,
( X != X
| X != Y
| Y = X ),
introduced(tautology,[equality,[$cnf( $equal(X,X) ),[0],$fot(Y)]]) ).
cnf(refute_14_5,plain,
( X != Y
| Y = X ),
inference(resolve,[$cnf( $equal(X,X) )],[refute_14_3,refute_14_4]) ).
cnf(refute_14_6,plain,
( e4 != op(e2,e2)
| op(e2,e2) = e4 ),
inference(subst,[],[refute_14_5:[bind(X,$fot(e4)),bind(Y,$fot(op(e2,e2)))]]) ).
cnf(refute_14_7,plain,
op(e2,e2) = e4,
inference(resolve,[$cnf( $equal(e4,op(e2,e2)) )],[refute_14_2,refute_14_6]) ).
cnf(refute_14_8,plain,
op(e3,op(e2,e2)) = op(e3,op(e2,e2)),
introduced(tautology,[refl,[$fot(op(e3,op(e2,e2)))]]) ).
cnf(refute_14_9,plain,
( op(e2,e2) != e4
| op(e3,op(e2,e2)) != op(e3,op(e2,e2))
| op(e3,op(e2,e2)) = op(e3,e4) ),
introduced(tautology,[equality,[$cnf( $equal(op(e3,op(e2,e2)),op(e3,op(e2,e2))) ),[1,1],$fot(e4)]]) ).
cnf(refute_14_10,plain,
( op(e2,e2) != e4
| op(e3,op(e2,e2)) = op(e3,e4) ),
inference(resolve,[$cnf( $equal(op(e3,op(e2,e2)),op(e3,op(e2,e2))) )],[refute_14_8,refute_14_9]) ).
cnf(refute_14_11,plain,
op(e3,op(e2,e2)) = op(e3,e4),
inference(resolve,[$cnf( $equal(op(e2,e2),e4) )],[refute_14_7,refute_14_10]) ).
cnf(refute_14_12,plain,
e3 = op(e2,op(e2,e2)),
inference(canonicalize,[],[normalize_14_5]) ).
cnf(refute_14_13,plain,
( e3 != op(e2,op(e2,e2))
| op(e2,op(e2,e2)) = e3 ),
inference(subst,[],[refute_14_5:[bind(X,$fot(e3)),bind(Y,$fot(op(e2,op(e2,e2))))]]) ).
cnf(refute_14_14,plain,
op(e2,op(e2,e2)) = e3,
inference(resolve,[$cnf( $equal(e3,op(e2,op(e2,e2))) )],[refute_14_12,refute_14_13]) ).
cnf(refute_14_15,plain,
op(op(e2,op(e2,e2)),op(e2,e2)) = op(op(e2,op(e2,e2)),op(e2,e2)),
introduced(tautology,[refl,[$fot(op(op(e2,op(e2,e2)),op(e2,e2)))]]) ).
cnf(refute_14_16,plain,
( op(e2,op(e2,e2)) != e3
| op(op(e2,op(e2,e2)),op(e2,e2)) != op(op(e2,op(e2,e2)),op(e2,e2))
| op(op(e2,op(e2,e2)),op(e2,e2)) = op(e3,op(e2,e2)) ),
introduced(tautology,[equality,[$cnf( $equal(op(op(e2,op(e2,e2)),op(e2,e2)),op(op(e2,op(e2,e2)),op(e2,e2))) ),[1,0],$fot(e3)]]) ).
cnf(refute_14_17,plain,
( op(e2,op(e2,e2)) != e3
| op(op(e2,op(e2,e2)),op(e2,e2)) = op(e3,op(e2,e2)) ),
inference(resolve,[$cnf( $equal(op(op(e2,op(e2,e2)),op(e2,e2)),op(op(e2,op(e2,e2)),op(e2,e2))) )],[refute_14_15,refute_14_16]) ).
cnf(refute_14_18,plain,
op(op(e2,op(e2,e2)),op(e2,e2)) = op(e3,op(e2,e2)),
inference(resolve,[$cnf( $equal(op(e2,op(e2,e2)),e3) )],[refute_14_14,refute_14_17]) ).
cnf(refute_14_19,plain,
( Y != X
| Y != Z
| X = Z ),
introduced(tautology,[equality,[$cnf( $equal(Y,Z) ),[0],$fot(X)]]) ).
cnf(refute_14_20,plain,
( X != Y
| Y != Z
| X = Z ),
inference(resolve,[$cnf( $equal(Y,X) )],[refute_14_5,refute_14_19]) ).
cnf(refute_14_21,plain,
( op(e3,op(e2,e2)) != op(e3,e4)
| op(op(e2,op(e2,e2)),op(e2,e2)) != op(e3,op(e2,e2))
| op(op(e2,op(e2,e2)),op(e2,e2)) = op(e3,e4) ),
inference(subst,[],[refute_14_20:[bind(X,$fot(op(op(e2,op(e2,e2)),op(e2,e2)))),bind(Y,$fot(op(e3,op(e2,e2)))),bind(Z,$fot(op(e3,e4)))]]) ).
cnf(refute_14_22,plain,
( op(e3,op(e2,e2)) != op(e3,e4)
| op(op(e2,op(e2,e2)),op(e2,e2)) = op(e3,e4) ),
inference(resolve,[$cnf( $equal(op(op(e2,op(e2,e2)),op(e2,e2)),op(e3,op(e2,e2))) )],[refute_14_18,refute_14_21]) ).
cnf(refute_14_23,plain,
op(op(e2,op(e2,e2)),op(e2,e2)) = op(e3,e4),
inference(resolve,[$cnf( $equal(op(e3,op(e2,e2)),op(e3,e4)) )],[refute_14_11,refute_14_22]) ).
cnf(refute_14_24,plain,
( e1 != op(op(e2,op(e2,e2)),op(e2,e2))
| op(op(e2,op(e2,e2)),op(e2,e2)) != op(e3,e4)
| e1 = op(e3,e4) ),
introduced(tautology,[equality,[$cnf( ~ $equal(e1,op(e3,e4)) ),[0],$fot(op(op(e2,op(e2,e2)),op(e2,e2)))]]) ).
cnf(refute_14_25,plain,
( e1 != op(op(e2,op(e2,e2)),op(e2,e2))
| e1 = op(e3,e4) ),
inference(resolve,[$cnf( $equal(op(op(e2,op(e2,e2)),op(e2,e2)),op(e3,e4)) )],[refute_14_23,refute_14_24]) ).
cnf(refute_14_26,plain,
e1 = op(e3,e4),
inference(resolve,[$cnf( $equal(e1,op(op(e2,op(e2,e2)),op(e2,e2))) )],[refute_14_1,refute_14_25]) ).
cnf(refute_14_27,plain,
( e1 != op(e3,e4)
| op(e3,e4) = e1 ),
inference(subst,[],[refute_14_5:[bind(X,$fot(e1)),bind(Y,$fot(op(e3,e4)))]]) ).
cnf(refute_14_28,plain,
op(e3,e4) = e1,
inference(resolve,[$cnf( $equal(e1,op(e3,e4)) )],[refute_14_26,refute_14_27]) ).
cnf(refute_14_29,plain,
op(e2,op(e2,e2)) = op(e2,op(e2,e2)),
introduced(tautology,[refl,[$fot(op(e2,op(e2,e2)))]]) ).
cnf(refute_14_30,plain,
( op(e2,e2) != e4
| op(e2,op(e2,e2)) != op(e2,op(e2,e2))
| op(e2,op(e2,e2)) = op(e2,e4) ),
introduced(tautology,[equality,[$cnf( $equal(op(e2,op(e2,e2)),op(e2,op(e2,e2))) ),[1,1],$fot(e4)]]) ).
cnf(refute_14_31,plain,
( op(e2,e2) != e4
| op(e2,op(e2,e2)) = op(e2,e4) ),
inference(resolve,[$cnf( $equal(op(e2,op(e2,e2)),op(e2,op(e2,e2))) )],[refute_14_29,refute_14_30]) ).
cnf(refute_14_32,plain,
op(e2,op(e2,e2)) = op(e2,e4),
inference(resolve,[$cnf( $equal(op(e2,e2),e4) )],[refute_14_7,refute_14_31]) ).
cnf(refute_14_33,plain,
( e3 != op(e2,op(e2,e2))
| op(e2,op(e2,e2)) != op(e2,e4)
| e3 = op(e2,e4) ),
introduced(tautology,[equality,[$cnf( ~ $equal(e3,op(e2,e4)) ),[0],$fot(op(e2,op(e2,e2)))]]) ).
cnf(refute_14_34,plain,
( e3 != op(e2,op(e2,e2))
| e3 = op(e2,e4) ),
inference(resolve,[$cnf( $equal(op(e2,op(e2,e2)),op(e2,e4)) )],[refute_14_32,refute_14_33]) ).
cnf(refute_14_35,plain,
e3 = op(e2,e4),
inference(resolve,[$cnf( $equal(e3,op(e2,op(e2,e2))) )],[refute_14_12,refute_14_34]) ).
cnf(refute_14_36,plain,
( e3 != op(e2,e4)
| op(e2,e4) = e3 ),
inference(subst,[],[refute_14_5:[bind(X,$fot(e3)),bind(Y,$fot(op(e2,e4)))]]) ).
cnf(refute_14_37,plain,
op(e2,e4) = e3,
inference(resolve,[$cnf( $equal(e3,op(e2,e4)) )],[refute_14_35,refute_14_36]) ).
cnf(refute_14_38,plain,
op(op(e2,e4),e4) = op(op(e2,e4),e4),
introduced(tautology,[refl,[$fot(op(op(e2,e4),e4))]]) ).
cnf(refute_14_39,plain,
( op(e2,e4) != e3
| op(op(e2,e4),e4) != op(op(e2,e4),e4)
| op(op(e2,e4),e4) = op(e3,e4) ),
introduced(tautology,[equality,[$cnf( $equal(op(op(e2,e4),e4),op(op(e2,e4),e4)) ),[1,0],$fot(e3)]]) ).
cnf(refute_14_40,plain,
( op(e2,e4) != e3
| op(op(e2,e4),e4) = op(e3,e4) ),
inference(resolve,[$cnf( $equal(op(op(e2,e4),e4),op(op(e2,e4),e4)) )],[refute_14_38,refute_14_39]) ).
cnf(refute_14_41,plain,
op(op(e2,e4),e4) = op(e3,e4),
inference(resolve,[$cnf( $equal(op(e2,e4),e3) )],[refute_14_37,refute_14_40]) ).
cnf(refute_14_42,plain,
( op(e3,e4) != e1
| op(op(e2,e4),e4) != op(e3,e4)
| op(op(e2,e4),e4) = e1 ),
inference(subst,[],[refute_14_20:[bind(X,$fot(op(op(e2,e4),e4))),bind(Y,$fot(op(e3,e4))),bind(Z,$fot(e1))]]) ).
cnf(refute_14_43,plain,
( op(e3,e4) != e1
| op(op(e2,e4),e4) = e1 ),
inference(resolve,[$cnf( $equal(op(op(e2,e4),e4),op(e3,e4)) )],[refute_14_41,refute_14_42]) ).
cnf(refute_14_44,plain,
op(op(e2,e4),e4) = e1,
inference(resolve,[$cnf( $equal(op(e3,e4),e1) )],[refute_14_28,refute_14_43]) ).
cnf(refute_14_45,plain,
( op(op(e2,e4),e4) != e1
| op(op(e2,e4),e4) != e2
| e1 = e2 ),
introduced(tautology,[equality,[$cnf( $equal(op(op(e2,e4),e4),e2) ),[0],$fot(e1)]]) ).
cnf(refute_14_46,plain,
( op(op(e2,e4),e4) != e2
| e1 = e2 ),
inference(resolve,[$cnf( $equal(op(op(e2,e4),e4),e1) )],[refute_14_44,refute_14_45]) ).
cnf(refute_14_47,plain,
e1 = e2,
inference(resolve,[$cnf( $equal(op(op(e2,e4),e4),e2) )],[refute_14_0,refute_14_46]) ).
cnf(refute_14_48,plain,
e1 != e2,
inference(canonicalize,[],[normalize_14_7]) ).
cnf(refute_14_49,plain,
$false,
inference(resolve,[$cnf( $equal(e1,e2) )],[refute_14_47,refute_14_48]) ).
fof(negate_15_0,plain,
~ ( ( ( ( op(e0,op(e0,e0)) != e0
& op(e0,op(e0,e0)) = e0 )
| ( op(e1,op(e1,e0)) != e0
& op(e0,op(e1,e0)) = e1 )
| ( op(e2,op(e2,e0)) != e0
& op(e0,op(e2,e0)) = e2 )
| ( op(e3,op(e3,e0)) != e0
& op(e0,op(e3,e0)) = e3 )
| ( op(e4,op(e4,e0)) != e0
& op(e0,op(e4,e0)) = e4 ) )
& ( ( op(e0,op(e0,e1)) != e1
& op(e1,op(e0,e1)) = e0 )
| ( op(e1,op(e1,e1)) != e1
& op(e1,op(e1,e1)) = e1 )
| ( op(e2,op(e2,e1)) != e1
& op(e1,op(e2,e1)) = e2 )
| ( op(e3,op(e3,e1)) != e1
& op(e1,op(e3,e1)) = e3 )
| ( op(e4,op(e4,e1)) != e1
& op(e1,op(e4,e1)) = e4 ) )
& ( ( op(e0,op(e0,e2)) != e2
& op(e2,op(e0,e2)) = e0 )
| ( op(e1,op(e1,e2)) != e2
& op(e2,op(e1,e2)) = e1 )
| ( op(e2,op(e2,e2)) != e2
& op(e2,op(e2,e2)) = e2 )
| ( op(e3,op(e3,e2)) != e2
& op(e2,op(e3,e2)) = e3 )
| ( op(e4,op(e4,e2)) != e2
& op(e2,op(e4,e2)) = e4 ) )
& ( ( op(e0,op(e0,e3)) != e3
& op(e3,op(e0,e3)) = e0 )
| ( op(e1,op(e1,e3)) != e3
& op(e3,op(e1,e3)) = e1 )
| ( op(e2,op(e2,e3)) != e3
& op(e3,op(e2,e3)) = e2 )
| ( op(e3,op(e3,e3)) != e3
& op(e3,op(e3,e3)) = e3 )
| ( op(e4,op(e4,e3)) != e3
& op(e3,op(e4,e3)) = e4 ) )
& ( ( op(e0,op(e0,e4)) != e4
& op(e4,op(e0,e4)) = e0 )
| ( op(e1,op(e1,e4)) != e4
& op(e4,op(e1,e4)) = e1 )
| ( op(e2,op(e2,e4)) != e4
& op(e4,op(e2,e4)) = e2 )
| ( op(e3,op(e3,e4)) != e4
& op(e4,op(e3,e4)) = e3 )
| ( op(e4,op(e4,e4)) != e4
& op(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) != 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_1,plain,
op(e0,e1) != op(e0,e3),
inference(conjunct,[],[normalize_15_0]) ).
fof(normalize_15_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_15_3,plain,
op(e0,unit) = e0,
inference(conjunct,[],[normalize_15_2]) ).
fof(normalize_15_4,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,op(e0,e1)) != e1
& op(e1,op(e0,e1)) = e0 )
| ( op(e2,op(e2,e1)) != e1
& op(e1,op(e2,e1)) = e2 )
| ( op(e3,op(e3,e1)) != e1
& op(e1,op(e3,e1)) = e3 )
| ( op(e4,op(e4,e1)) != e1
& op(e1,op(e4,e1)) = e4 ) )
& ( ( op(e0,op(e0,e2)) != e2
& op(e2,op(e0,e2)) = e0 )
| ( op(e1,op(e1,e2)) != e2
& op(e2,op(e1,e2)) = e1 )
| ( op(e3,op(e3,e2)) != e2
& op(e2,op(e3,e2)) = e3 )
| ( op(e4,op(e4,e2)) != e2
& op(e2,op(e4,e2)) = e4 ) )
& ( ( op(e0,op(e0,e3)) != e3
& op(e3,op(e0,e3)) = e0 )
| ( op(e1,op(e1,e3)) != e3
& op(e3,op(e1,e3)) = e1 )
| ( op(e2,op(e2,e3)) != e3
& op(e3,op(e2,e3)) = e2 )
| ( op(e4,op(e4,e3)) != e3
& op(e3,op(e4,e3)) = e4 ) )
& ( ( op(e0,op(e0,e4)) != e4
& op(e4,op(e0,e4)) = e0 )
| ( op(e1,op(e1,e4)) != e4
& op(e4,op(e1,e4)) = e1 )
| ( op(e2,op(e2,e4)) != e4
& op(e4,op(e2,e4)) = e2 )
| ( op(e3,op(e3,e4)) != e4
& op(e4,op(e3,e4)) = e3 ) )
& ( ( op(e1,op(e1,e0)) != e0
& op(e0,op(e1,e0)) = e1 )
| ( op(e2,op(e2,e0)) != e0
& op(e0,op(e2,e0)) = e2 )
| ( op(e3,op(e3,e0)) != e0
& op(e0,op(e3,e0)) = e3 )
| ( op(e4,op(e4,e0)) != e0
& op(e0,op(e4,e0)) = e4 ) ) ),
inference(canonicalize,[],[negate_15_0]) ).
fof(normalize_15_5,plain,
op(e0,e3) != op(e3,e0),
inference(conjunct,[],[normalize_15_4]) ).
fof(normalize_15_6,plain,
op(e3,unit) = e3,
inference(conjunct,[],[normalize_15_2]) ).
fof(normalize_15_7,plain,
op(unit,e0) = e0,
inference(conjunct,[],[normalize_15_2]) ).
fof(normalize_15_8,plain,
op(unit,e1) = e1,
inference(conjunct,[],[normalize_15_2]) ).
fof(normalize_15_9,plain,
op(unit,e3) = e3,
inference(conjunct,[],[normalize_15_2]) ).
fof(normalize_15_10,plain,
( unit = e0
| unit = e1
| unit = e2
| unit = e3
| unit = e4 ),
inference(conjunct,[],[normalize_15_2]) ).
fof(normalize_15_11,plain,
op(e2,e3) != op(e2,e4),
inference(conjunct,[],[normalize_15_0]) ).
fof(normalize_15_12,plain,
( e0 = op(op(e2,e2),op(e2,e2))
& e1 = op(op(e2,op(e2,e2)),op(e2,e2))
& e3 = op(e2,op(e2,e2))
& e4 = op(e2,e2) ),
inference(canonicalize,[],[ax6]) ).
fof(normalize_15_13,plain,
e3 = op(e2,op(e2,e2)),
inference(conjunct,[],[normalize_15_12]) ).
fof(normalize_15_14,plain,
e4 = op(e2,e2),
inference(conjunct,[],[normalize_15_12]) ).
fof(normalize_15_15,plain,
op(e3,e1) != op(e3,e4),
inference(conjunct,[],[normalize_15_0]) ).
fof(normalize_15_16,plain,
e1 = op(op(e2,op(e2,e2)),op(e2,e2)),
inference(conjunct,[],[normalize_15_12]) ).
fof(normalize_15_17,plain,
op(e4,e0) != op(e4,e4),
inference(conjunct,[],[normalize_15_0]) ).
fof(normalize_15_18,plain,
e0 = op(op(e2,e2),op(e2,e2)),
inference(conjunct,[],[normalize_15_12]) ).
fof(normalize_15_19,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_20,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_19]) ).
fof(normalize_15_21,plain,
op(e0,e0) != op(e0,e3),
inference(conjunct,[],[normalize_15_0]) ).
fof(normalize_15_22,plain,
op(e0,e0) != op(e0,e1),
inference(conjunct,[],[normalize_15_0]) ).
fof(normalize_15_23,plain,
( op(e0,e0) = e0
| op(e0,e0) = e1
| op(e0,e0) = e2
| op(e0,e0) = e3
| op(e0,e0) = e4 ),
inference(conjunct,[],[normalize_15_19]) ).
fof(normalize_15_24,plain,
op(e0,e0) != op(e0,e4),
inference(conjunct,[],[normalize_15_0]) ).
fof(normalize_15_25,plain,
op(e0,e4) != op(e1,e4),
inference(conjunct,[],[normalize_15_0]) ).
fof(normalize_15_26,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_19]) ).
fof(normalize_15_27,plain,
op(e0,e4) != op(e4,e4),
inference(conjunct,[],[normalize_15_0]) ).
fof(normalize_15_28,plain,
op(e0,e4) != op(e3,e4),
inference(conjunct,[],[normalize_15_0]) ).
fof(normalize_15_29,plain,
op(e0,e4) != op(e2,e4),
inference(conjunct,[],[normalize_15_0]) ).
fof(normalize_15_30,plain,
op(unit,e4) = e4,
inference(conjunct,[],[normalize_15_2]) ).
fof(normalize_15_31,plain,
op(e0,e0) != op(e4,e0),
inference(conjunct,[],[normalize_15_0]) ).
fof(normalize_15_32,plain,
op(op(e3,e0),e0) = e3,
inference(conjunct,[],[normalize_15_4]) ).
fof(normalize_15_33,plain,
op(e1,e0) != op(e3,e0),
inference(conjunct,[],[normalize_15_0]) ).
fof(normalize_15_34,plain,
( op(e3,e0) = e0
| op(e3,e0) = e1
| op(e3,e0) = e2
| op(e3,e0) = e3
| op(e3,e0) = e4 ),
inference(conjunct,[],[normalize_15_19]) ).
fof(normalize_15_35,plain,
op(e3,e0) != op(e3,e4),
inference(conjunct,[],[normalize_15_0]) ).
fof(normalize_15_36,plain,
op(e2,e0) != op(e2,e4),
inference(conjunct,[],[normalize_15_0]) ).
fof(normalize_15_37,plain,
op(e3,e0) != op(e3,e1),
inference(conjunct,[],[normalize_15_0]) ).
fof(normalize_15_38,plain,
op(e0,e0) != op(e3,e0),
inference(conjunct,[],[normalize_15_0]) ).
fof(normalize_15_39,plain,
op(e0,e3) != op(e0,e4),
inference(conjunct,[],[normalize_15_0]) ).
fof(normalize_15_40,plain,
op(e0,e3) != op(e1,e3),
inference(conjunct,[],[normalize_15_0]) ).
cnf(refute_15_0,plain,
op(e0,e1) != op(e0,e3),
inference(canonicalize,[],[normalize_15_1]) ).
cnf(refute_15_1,plain,
op(e0,unit) = e0,
inference(canonicalize,[],[normalize_15_3]) ).
cnf(refute_15_2,plain,
op(e0,e3) != op(e3,e0),
inference(canonicalize,[],[normalize_15_5]) ).
cnf(refute_15_3,plain,
op(e3,unit) = e3,
inference(canonicalize,[],[normalize_15_6]) ).
cnf(refute_15_4,plain,
op(unit,e0) = e0,
inference(canonicalize,[],[normalize_15_7]) ).
cnf(refute_15_5,plain,
op(unit,e1) = e1,
inference(canonicalize,[],[normalize_15_8]) ).
cnf(refute_15_6,plain,
op(unit,e3) = e3,
inference(canonicalize,[],[normalize_15_9]) ).
cnf(refute_15_7,plain,
( unit = e0
| unit = e1
| unit = e2
| unit = e3
| unit = e4 ),
inference(canonicalize,[],[normalize_15_10]) ).
cnf(refute_15_8,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_15_9,plain,
( op(unit,e3) != e3
| op(e2,e3) = e3
| unit = e0
| unit = e1
| unit = e3
| unit = e4 ),
inference(resolve,[$cnf( $equal(unit,e2) )],[refute_15_7,refute_15_8]) ).
cnf(refute_15_10,plain,
( op(e2,e3) = e3
| unit = e0
| unit = e1
| unit = e3
| unit = e4 ),
inference(resolve,[$cnf( $equal(op(unit,e3),e3) )],[refute_15_6,refute_15_9]) ).
cnf(refute_15_11,plain,
op(e2,e3) != op(e2,e4),
inference(canonicalize,[],[normalize_15_11]) ).
cnf(refute_15_12,plain,
e3 = op(e2,op(e2,e2)),
inference(canonicalize,[],[normalize_15_13]) ).
cnf(refute_15_13,plain,
e4 = op(e2,e2),
inference(canonicalize,[],[normalize_15_14]) ).
cnf(refute_15_14,plain,
X = X,
introduced(tautology,[refl,[$fot(X)]]) ).
cnf(refute_15_15,plain,
( X != X
| X != Y
| Y = X ),
introduced(tautology,[equality,[$cnf( $equal(X,X) ),[0],$fot(Y)]]) ).
cnf(refute_15_16,plain,
( X != Y
| Y = X ),
inference(resolve,[$cnf( $equal(X,X) )],[refute_15_14,refute_15_15]) ).
cnf(refute_15_17,plain,
( e4 != op(e2,e2)
| op(e2,e2) = e4 ),
inference(subst,[],[refute_15_16:[bind(X,$fot(e4)),bind(Y,$fot(op(e2,e2)))]]) ).
cnf(refute_15_18,plain,
op(e2,e2) = e4,
inference(resolve,[$cnf( $equal(e4,op(e2,e2)) )],[refute_15_13,refute_15_17]) ).
cnf(refute_15_19,plain,
op(e2,op(e2,e2)) = op(e2,op(e2,e2)),
introduced(tautology,[refl,[$fot(op(e2,op(e2,e2)))]]) ).
cnf(refute_15_20,plain,
( op(e2,e2) != e4
| op(e2,op(e2,e2)) != op(e2,op(e2,e2))
| op(e2,op(e2,e2)) = op(e2,e4) ),
introduced(tautology,[equality,[$cnf( $equal(op(e2,op(e2,e2)),op(e2,op(e2,e2))) ),[1,1],$fot(e4)]]) ).
cnf(refute_15_21,plain,
( op(e2,e2) != e4
| op(e2,op(e2,e2)) = op(e2,e4) ),
inference(resolve,[$cnf( $equal(op(e2,op(e2,e2)),op(e2,op(e2,e2))) )],[refute_15_19,refute_15_20]) ).
cnf(refute_15_22,plain,
op(e2,op(e2,e2)) = op(e2,e4),
inference(resolve,[$cnf( $equal(op(e2,e2),e4) )],[refute_15_18,refute_15_21]) ).
cnf(refute_15_23,plain,
( e3 != op(e2,op(e2,e2))
| op(e2,op(e2,e2)) != op(e2,e4)
| e3 = op(e2,e4) ),
introduced(tautology,[equality,[$cnf( ~ $equal(e3,op(e2,e4)) ),[0],$fot(op(e2,op(e2,e2)))]]) ).
cnf(refute_15_24,plain,
( e3 != op(e2,op(e2,e2))
| e3 = op(e2,e4) ),
inference(resolve,[$cnf( $equal(op(e2,op(e2,e2)),op(e2,e4)) )],[refute_15_22,refute_15_23]) ).
cnf(refute_15_25,plain,
e3 = op(e2,e4),
inference(resolve,[$cnf( $equal(e3,op(e2,op(e2,e2))) )],[refute_15_12,refute_15_24]) ).
cnf(refute_15_26,plain,
( e3 != op(e2,e4)
| op(e2,e4) = e3 ),
inference(subst,[],[refute_15_16:[bind(X,$fot(e3)),bind(Y,$fot(op(e2,e4)))]]) ).
cnf(refute_15_27,plain,
op(e2,e4) = e3,
inference(resolve,[$cnf( $equal(e3,op(e2,e4)) )],[refute_15_25,refute_15_26]) ).
cnf(refute_15_28,plain,
( op(e2,e3) != e3
| op(e2,e4) != e3
| op(e2,e3) = op(e2,e4) ),
introduced(tautology,[equality,[$cnf( ~ $equal(op(e2,e3),op(e2,e4)) ),[1],$fot(e3)]]) ).
cnf(refute_15_29,plain,
( op(e2,e3) != e3
| op(e2,e3) = op(e2,e4) ),
inference(resolve,[$cnf( $equal(op(e2,e4),e3) )],[refute_15_27,refute_15_28]) ).
cnf(refute_15_30,plain,
op(e2,e3) != e3,
inference(resolve,[$cnf( $equal(op(e2,e3),op(e2,e4)) )],[refute_15_29,refute_15_11]) ).
cnf(refute_15_31,plain,
( unit = e0
| unit = e1
| unit = e3
| unit = e4 ),
inference(resolve,[$cnf( $equal(op(e2,e3),e3) )],[refute_15_10,refute_15_30]) ).
cnf(refute_15_32,plain,
( op(unit,e1) != e1
| unit != e3
| op(e3,e1) = e1 ),
introduced(tautology,[equality,[$cnf( $equal(op(unit,e1),e1) ),[0,0],$fot(e3)]]) ).
cnf(refute_15_33,plain,
( op(unit,e1) != e1
| op(e3,e1) = e1
| unit = e0
| unit = e1
| unit = e4 ),
inference(resolve,[$cnf( $equal(unit,e3) )],[refute_15_31,refute_15_32]) ).
cnf(refute_15_34,plain,
( op(e3,e1) = e1
| unit = e0
| unit = e1
| unit = e4 ),
inference(resolve,[$cnf( $equal(op(unit,e1),e1) )],[refute_15_5,refute_15_33]) ).
cnf(refute_15_35,plain,
op(e3,e1) != op(e3,e4),
inference(canonicalize,[],[normalize_15_15]) ).
cnf(refute_15_36,plain,
e1 = op(op(e2,op(e2,e2)),op(e2,e2)),
inference(canonicalize,[],[normalize_15_16]) ).
cnf(refute_15_37,plain,
op(e3,op(e2,e2)) = op(e3,op(e2,e2)),
introduced(tautology,[refl,[$fot(op(e3,op(e2,e2)))]]) ).
cnf(refute_15_38,plain,
( op(e2,e2) != e4
| op(e3,op(e2,e2)) != op(e3,op(e2,e2))
| op(e3,op(e2,e2)) = op(e3,e4) ),
introduced(tautology,[equality,[$cnf( $equal(op(e3,op(e2,e2)),op(e3,op(e2,e2))) ),[1,1],$fot(e4)]]) ).
cnf(refute_15_39,plain,
( op(e2,e2) != e4
| op(e3,op(e2,e2)) = op(e3,e4) ),
inference(resolve,[$cnf( $equal(op(e3,op(e2,e2)),op(e3,op(e2,e2))) )],[refute_15_37,refute_15_38]) ).
cnf(refute_15_40,plain,
op(e3,op(e2,e2)) = op(e3,e4),
inference(resolve,[$cnf( $equal(op(e2,e2),e4) )],[refute_15_18,refute_15_39]) ).
cnf(refute_15_41,plain,
( e3 != op(e2,op(e2,e2))
| op(e2,op(e2,e2)) = e3 ),
inference(subst,[],[refute_15_16:[bind(X,$fot(e3)),bind(Y,$fot(op(e2,op(e2,e2))))]]) ).
cnf(refute_15_42,plain,
op(e2,op(e2,e2)) = e3,
inference(resolve,[$cnf( $equal(e3,op(e2,op(e2,e2))) )],[refute_15_12,refute_15_41]) ).
cnf(refute_15_43,plain,
op(op(e2,op(e2,e2)),op(e2,e2)) = op(op(e2,op(e2,e2)),op(e2,e2)),
introduced(tautology,[refl,[$fot(op(op(e2,op(e2,e2)),op(e2,e2)))]]) ).
cnf(refute_15_44,plain,
( op(e2,op(e2,e2)) != e3
| op(op(e2,op(e2,e2)),op(e2,e2)) != op(op(e2,op(e2,e2)),op(e2,e2))
| op(op(e2,op(e2,e2)),op(e2,e2)) = op(e3,op(e2,e2)) ),
introduced(tautology,[equality,[$cnf( $equal(op(op(e2,op(e2,e2)),op(e2,e2)),op(op(e2,op(e2,e2)),op(e2,e2))) ),[1,0],$fot(e3)]]) ).
cnf(refute_15_45,plain,
( op(e2,op(e2,e2)) != e3
| op(op(e2,op(e2,e2)),op(e2,e2)) = op(e3,op(e2,e2)) ),
inference(resolve,[$cnf( $equal(op(op(e2,op(e2,e2)),op(e2,e2)),op(op(e2,op(e2,e2)),op(e2,e2))) )],[refute_15_43,refute_15_44]) ).
cnf(refute_15_46,plain,
op(op(e2,op(e2,e2)),op(e2,e2)) = op(e3,op(e2,e2)),
inference(resolve,[$cnf( $equal(op(e2,op(e2,e2)),e3) )],[refute_15_42,refute_15_45]) ).
cnf(refute_15_47,plain,
( Y != X
| Y != Z
| X = Z ),
introduced(tautology,[equality,[$cnf( $equal(Y,Z) ),[0],$fot(X)]]) ).
cnf(refute_15_48,plain,
( X != Y
| Y != Z
| X = Z ),
inference(resolve,[$cnf( $equal(Y,X) )],[refute_15_16,refute_15_47]) ).
cnf(refute_15_49,plain,
( op(e3,op(e2,e2)) != op(e3,e4)
| op(op(e2,op(e2,e2)),op(e2,e2)) != op(e3,op(e2,e2))
| op(op(e2,op(e2,e2)),op(e2,e2)) = op(e3,e4) ),
inference(subst,[],[refute_15_48:[bind(X,$fot(op(op(e2,op(e2,e2)),op(e2,e2)))),bind(Y,$fot(op(e3,op(e2,e2)))),bind(Z,$fot(op(e3,e4)))]]) ).
cnf(refute_15_50,plain,
( op(e3,op(e2,e2)) != op(e3,e4)
| op(op(e2,op(e2,e2)),op(e2,e2)) = op(e3,e4) ),
inference(resolve,[$cnf( $equal(op(op(e2,op(e2,e2)),op(e2,e2)),op(e3,op(e2,e2))) )],[refute_15_46,refute_15_49]) ).
cnf(refute_15_51,plain,
op(op(e2,op(e2,e2)),op(e2,e2)) = op(e3,e4),
inference(resolve,[$cnf( $equal(op(e3,op(e2,e2)),op(e3,e4)) )],[refute_15_40,refute_15_50]) ).
cnf(refute_15_52,plain,
( e1 != op(op(e2,op(e2,e2)),op(e2,e2))
| op(op(e2,op(e2,e2)),op(e2,e2)) != op(e3,e4)
| e1 = op(e3,e4) ),
introduced(tautology,[equality,[$cnf( ~ $equal(e1,op(e3,e4)) ),[0],$fot(op(op(e2,op(e2,e2)),op(e2,e2)))]]) ).
cnf(refute_15_53,plain,
( e1 != op(op(e2,op(e2,e2)),op(e2,e2))
| e1 = op(e3,e4) ),
inference(resolve,[$cnf( $equal(op(op(e2,op(e2,e2)),op(e2,e2)),op(e3,e4)) )],[refute_15_51,refute_15_52]) ).
cnf(refute_15_54,plain,
e1 = op(e3,e4),
inference(resolve,[$cnf( $equal(e1,op(op(e2,op(e2,e2)),op(e2,e2))) )],[refute_15_36,refute_15_53]) ).
cnf(refute_15_55,plain,
( e1 != op(e3,e4)
| op(e3,e4) = e1 ),
inference(subst,[],[refute_15_16:[bind(X,$fot(e1)),bind(Y,$fot(op(e3,e4)))]]) ).
cnf(refute_15_56,plain,
op(e3,e4) = e1,
inference(resolve,[$cnf( $equal(e1,op(e3,e4)) )],[refute_15_54,refute_15_55]) ).
cnf(refute_15_57,plain,
( op(e3,e1) != e1
| op(e3,e4) != e1
| op(e3,e1) = op(e3,e4) ),
introduced(tautology,[equality,[$cnf( ~ $equal(op(e3,e1),op(e3,e4)) ),[1],$fot(e1)]]) ).
cnf(refute_15_58,plain,
( op(e3,e1) != e1
| op(e3,e1) = op(e3,e4) ),
inference(resolve,[$cnf( $equal(op(e3,e4),e1) )],[refute_15_56,refute_15_57]) ).
cnf(refute_15_59,plain,
op(e3,e1) != e1,
inference(resolve,[$cnf( $equal(op(e3,e1),op(e3,e4)) )],[refute_15_58,refute_15_35]) ).
cnf(refute_15_60,plain,
( unit = e0
| unit = e1
| unit = e4 ),
inference(resolve,[$cnf( $equal(op(e3,e1),e1) )],[refute_15_34,refute_15_59]) ).
cnf(refute_15_61,plain,
( op(unit,e0) != e0
| unit != e4
| op(e4,e0) = e0 ),
introduced(tautology,[equality,[$cnf( $equal(op(unit,e0),e0) ),[0,0],$fot(e4)]]) ).
cnf(refute_15_62,plain,
( op(unit,e0) != e0
| op(e4,e0) = e0
| unit = e0
| unit = e1 ),
inference(resolve,[$cnf( $equal(unit,e4) )],[refute_15_60,refute_15_61]) ).
cnf(refute_15_63,plain,
( op(e4,e0) = e0
| unit = e0
| unit = e1 ),
inference(resolve,[$cnf( $equal(op(unit,e0),e0) )],[refute_15_4,refute_15_62]) ).
cnf(refute_15_64,plain,
op(e4,e0) != op(e4,e4),
inference(canonicalize,[],[normalize_15_17]) ).
cnf(refute_15_65,plain,
e0 = op(op(e2,e2),op(e2,e2)),
inference(canonicalize,[],[normalize_15_18]) ).
cnf(refute_15_66,plain,
op(e4,op(e2,e2)) = op(e4,op(e2,e2)),
introduced(tautology,[refl,[$fot(op(e4,op(e2,e2)))]]) ).
cnf(refute_15_67,plain,
( op(e2,e2) != e4
| op(e4,op(e2,e2)) != op(e4,op(e2,e2))
| op(e4,op(e2,e2)) = op(e4,e4) ),
introduced(tautology,[equality,[$cnf( $equal(op(e4,op(e2,e2)),op(e4,op(e2,e2))) ),[1,1],$fot(e4)]]) ).
cnf(refute_15_68,plain,
( op(e2,e2) != e4
| op(e4,op(e2,e2)) = op(e4,e4) ),
inference(resolve,[$cnf( $equal(op(e4,op(e2,e2)),op(e4,op(e2,e2))) )],[refute_15_66,refute_15_67]) ).
cnf(refute_15_69,plain,
op(e4,op(e2,e2)) = op(e4,e4),
inference(resolve,[$cnf( $equal(op(e2,e2),e4) )],[refute_15_18,refute_15_68]) ).
cnf(refute_15_70,plain,
op(op(e2,e2),op(e2,e2)) = op(op(e2,e2),op(e2,e2)),
introduced(tautology,[refl,[$fot(op(op(e2,e2),op(e2,e2)))]]) ).
cnf(refute_15_71,plain,
( op(e2,e2) != e4
| op(op(e2,e2),op(e2,e2)) != op(op(e2,e2),op(e2,e2))
| op(op(e2,e2),op(e2,e2)) = op(e4,op(e2,e2)) ),
introduced(tautology,[equality,[$cnf( $equal(op(op(e2,e2),op(e2,e2)),op(op(e2,e2),op(e2,e2))) ),[1,0],$fot(e4)]]) ).
cnf(refute_15_72,plain,
( op(e2,e2) != e4
| op(op(e2,e2),op(e2,e2)) = op(e4,op(e2,e2)) ),
inference(resolve,[$cnf( $equal(op(op(e2,e2),op(e2,e2)),op(op(e2,e2),op(e2,e2))) )],[refute_15_70,refute_15_71]) ).
cnf(refute_15_73,plain,
op(op(e2,e2),op(e2,e2)) = op(e4,op(e2,e2)),
inference(resolve,[$cnf( $equal(op(e2,e2),e4) )],[refute_15_18,refute_15_72]) ).
cnf(refute_15_74,plain,
( op(e4,op(e2,e2)) != op(e4,e4)
| op(op(e2,e2),op(e2,e2)) != op(e4,op(e2,e2))
| op(op(e2,e2),op(e2,e2)) = op(e4,e4) ),
inference(subst,[],[refute_15_48:[bind(X,$fot(op(op(e2,e2),op(e2,e2)))),bind(Y,$fot(op(e4,op(e2,e2)))),bind(Z,$fot(op(e4,e4)))]]) ).
cnf(refute_15_75,plain,
( op(e4,op(e2,e2)) != op(e4,e4)
| op(op(e2,e2),op(e2,e2)) = op(e4,e4) ),
inference(resolve,[$cnf( $equal(op(op(e2,e2),op(e2,e2)),op(e4,op(e2,e2))) )],[refute_15_73,refute_15_74]) ).
cnf(refute_15_76,plain,
op(op(e2,e2),op(e2,e2)) = op(e4,e4),
inference(resolve,[$cnf( $equal(op(e4,op(e2,e2)),op(e4,e4)) )],[refute_15_69,refute_15_75]) ).
cnf(refute_15_77,plain,
( e0 != op(op(e2,e2),op(e2,e2))
| op(op(e2,e2),op(e2,e2)) != op(e4,e4)
| e0 = op(e4,e4) ),
introduced(tautology,[equality,[$cnf( ~ $equal(e0,op(e4,e4)) ),[0],$fot(op(op(e2,e2),op(e2,e2)))]]) ).
cnf(refute_15_78,plain,
( e0 != op(op(e2,e2),op(e2,e2))
| e0 = op(e4,e4) ),
inference(resolve,[$cnf( $equal(op(op(e2,e2),op(e2,e2)),op(e4,e4)) )],[refute_15_76,refute_15_77]) ).
cnf(refute_15_79,plain,
e0 = op(e4,e4),
inference(resolve,[$cnf( $equal(e0,op(op(e2,e2),op(e2,e2))) )],[refute_15_65,refute_15_78]) ).
cnf(refute_15_80,plain,
( e0 != op(e4,e4)
| op(e4,e4) = e0 ),
inference(subst,[],[refute_15_16:[bind(X,$fot(e0)),bind(Y,$fot(op(e4,e4)))]]) ).
cnf(refute_15_81,plain,
op(e4,e4) = e0,
inference(resolve,[$cnf( $equal(e0,op(e4,e4)) )],[refute_15_79,refute_15_80]) ).
cnf(refute_15_82,plain,
( op(e4,e0) != e0
| op(e4,e4) != e0
| op(e4,e0) = op(e4,e4) ),
introduced(tautology,[equality,[$cnf( ~ $equal(op(e4,e0),op(e4,e4)) ),[1],$fot(e0)]]) ).
cnf(refute_15_83,plain,
( op(e4,e0) != e0
| op(e4,e0) = op(e4,e4) ),
inference(resolve,[$cnf( $equal(op(e4,e4),e0) )],[refute_15_81,refute_15_82]) ).
cnf(refute_15_84,plain,
op(e4,e0) != e0,
inference(resolve,[$cnf( $equal(op(e4,e0),op(e4,e4)) )],[refute_15_83,refute_15_64]) ).
cnf(refute_15_85,plain,
( unit = e0
| unit = e1 ),
inference(resolve,[$cnf( $equal(op(e4,e0),e0) )],[refute_15_63,refute_15_84]) ).
cnf(refute_15_86,plain,
( op(e3,unit) != e3
| unit != e0
| op(e3,e0) = e3 ),
introduced(tautology,[equality,[$cnf( $equal(op(e3,unit),e3) ),[0,1],$fot(e0)]]) ).
cnf(refute_15_87,plain,
( op(e3,unit) != e3
| op(e3,e0) = e3
| unit = e1 ),
inference(resolve,[$cnf( $equal(unit,e0) )],[refute_15_85,refute_15_86]) ).
cnf(refute_15_88,plain,
( op(e3,e0) = e3
| unit = e1 ),
inference(resolve,[$cnf( $equal(op(e3,unit),e3) )],[refute_15_3,refute_15_87]) ).
cnf(refute_15_89,plain,
( op(e0,e3) != e3
| op(e3,e0) != e3
| op(e0,e3) = op(e3,e0) ),
introduced(tautology,[equality,[$cnf( ~ $equal(op(e0,e3),op(e3,e0)) ),[1],$fot(e3)]]) ).
cnf(refute_15_90,plain,
( op(e0,e3) != e3
| op(e0,e3) = op(e3,e0)
| unit = e1 ),
inference(resolve,[$cnf( $equal(op(e3,e0),e3) )],[refute_15_88,refute_15_89]) ).
cnf(refute_15_91,plain,
( op(e0,e3) != e3
| unit = e1 ),
inference(resolve,[$cnf( $equal(op(e0,e3),op(e3,e0)) )],[refute_15_90,refute_15_2]) ).
cnf(refute_15_92,plain,
( op(unit,e3) != e3
| unit != e0
| op(e0,e3) = e3 ),
introduced(tautology,[equality,[$cnf( $equal(op(unit,e3),e3) ),[0,0],$fot(e0)]]) ).
cnf(refute_15_93,plain,
( op(unit,e3) != e3
| op(e0,e3) = e3
| unit = e1 ),
inference(resolve,[$cnf( $equal(unit,e0) )],[refute_15_85,refute_15_92]) ).
cnf(refute_15_94,plain,
( op(e0,e3) = e3
| unit = e1 ),
inference(resolve,[$cnf( $equal(op(unit,e3),e3) )],[refute_15_6,refute_15_93]) ).
cnf(refute_15_95,plain,
( e3 != e3
| op(e0,e3) != e3
| op(e0,e3) = e3 ),
introduced(tautology,[equality,[$cnf( $equal(op(e0,e3),e3) ),[0,1],$fot(e3)]]) ).
cnf(refute_15_96,plain,
( e3 != e3
| op(e0,e3) = e3
| unit = e1 ),
inference(resolve,[$cnf( $equal(op(e0,e3),e3) )],[refute_15_94,refute_15_95]) ).
cnf(refute_15_97,plain,
( e3 != e3
| unit = e1 ),
inference(resolve,[$cnf( $equal(op(e0,e3),e3) )],[refute_15_96,refute_15_91]) ).
cnf(refute_15_98,plain,
e3 = e3,
introduced(tautology,[refl,[$fot(e3)]]) ).
cnf(refute_15_99,plain,
unit = e1,
inference(resolve,[$cnf( $equal(e3,e3) )],[refute_15_98,refute_15_97]) ).
cnf(refute_15_100,plain,
op(e0,unit) = op(e0,unit),
introduced(tautology,[refl,[$fot(op(e0,unit))]]) ).
cnf(refute_15_101,plain,
( op(e0,unit) != op(e0,unit)
| unit != e1
| op(e0,unit) = op(e0,e1) ),
introduced(tautology,[equality,[$cnf( $equal(op(e0,unit),op(e0,unit)) ),[1,1],$fot(e1)]]) ).
cnf(refute_15_102,plain,
( unit != e1
| op(e0,unit) = op(e0,e1) ),
inference(resolve,[$cnf( $equal(op(e0,unit),op(e0,unit)) )],[refute_15_100,refute_15_101]) ).
cnf(refute_15_103,plain,
op(e0,unit) = op(e0,e1),
inference(resolve,[$cnf( $equal(unit,e1) )],[refute_15_99,refute_15_102]) ).
cnf(refute_15_104,plain,
( op(e0,unit) != e0
| op(e0,unit) != op(e0,e1)
| op(e0,e1) = e0 ),
introduced(tautology,[equality,[$cnf( $equal(op(e0,unit),e0) ),[0],$fot(op(e0,e1))]]) ).
cnf(refute_15_105,plain,
( op(e0,unit) != e0
| op(e0,e1) = e0 ),
inference(resolve,[$cnf( $equal(op(e0,unit),op(e0,e1)) )],[refute_15_103,refute_15_104]) ).
cnf(refute_15_106,plain,
op(e0,e1) = e0,
inference(resolve,[$cnf( $equal(op(e0,unit),e0) )],[refute_15_1,refute_15_105]) ).
cnf(refute_15_107,plain,
( e0 != op(e0,e3)
| op(e0,e1) != e0
| op(e0,e1) = op(e0,e3) ),
introduced(tautology,[equality,[$cnf( $equal(op(e0,e1),e0) ),[1],$fot(op(e0,e3))]]) ).
cnf(refute_15_108,plain,
( e0 != op(e0,e3)
| op(e0,e1) = op(e0,e3) ),
inference(resolve,[$cnf( $equal(op(e0,e1),e0) )],[refute_15_106,refute_15_107]) ).
cnf(refute_15_109,plain,
e0 != op(e0,e3),
inference(resolve,[$cnf( $equal(op(e0,e1),op(e0,e3)) )],[refute_15_108,refute_15_0]) ).
cnf(refute_15_110,plain,
( op(e0,e3) = e0
| op(e0,e3) = e1
| op(e0,e3) = e2
| op(e0,e3) = e3
| op(e0,e3) = e4 ),
inference(canonicalize,[],[normalize_15_20]) ).
cnf(refute_15_111,plain,
( e0 != e0
| op(e0,e3) != e0
| e0 = op(e0,e3) ),
introduced(tautology,[equality,[$cnf( ~ $equal(e0,op(e0,e3)) ),[1],$fot(e0)]]) ).
cnf(refute_15_112,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( $equal(op(e0,e3),e0) )],[refute_15_110,refute_15_111]) ).
cnf(refute_15_113,plain,
( e0 != e0
| op(e0,e3) = e1
| op(e0,e3) = e2
| op(e0,e3) = e3
| op(e0,e3) = e4 ),
inference(resolve,[$cnf( $equal(e0,op(e0,e3)) )],[refute_15_112,refute_15_109]) ).
cnf(refute_15_114,plain,
e0 = e0,
introduced(tautology,[refl,[$fot(e0)]]) ).
cnf(refute_15_115,plain,
( op(e0,e3) = e1
| op(e0,e3) = e2
| op(e0,e3) = e3
| op(e0,e3) = e4 ),
inference(resolve,[$cnf( $equal(e0,e0) )],[refute_15_114,refute_15_113]) ).
cnf(refute_15_116,plain,
op(e0,e0) != op(e0,e3),
inference(canonicalize,[],[normalize_15_21]) ).
cnf(refute_15_117,plain,
op(e0,e0) != op(e0,e1),
inference(canonicalize,[],[normalize_15_22]) ).
cnf(refute_15_118,plain,
( op(e0,e0) != e0
| op(e0,e1) != e0
| op(e0,e0) = op(e0,e1) ),
introduced(tautology,[equality,[$cnf( ~ $equal(op(e0,e0),op(e0,e1)) ),[1],$fot(e0)]]) ).
cnf(refute_15_119,plain,
( op(e0,e0) != e0
| op(e0,e0) = op(e0,e1) ),
inference(resolve,[$cnf( $equal(op(e0,e1),e0) )],[refute_15_106,refute_15_118]) ).
cnf(refute_15_120,plain,
op(e0,e0) != e0,
inference(resolve,[$cnf( $equal(op(e0,e0),op(e0,e1)) )],[refute_15_119,refute_15_117]) ).
cnf(refute_15_121,plain,
( op(e0,e0) = e0
| op(e0,e0) = e1
| op(e0,e0) = e2
| op(e0,e0) = e3
| op(e0,e0) = e4 ),
inference(canonicalize,[],[normalize_15_23]) ).
cnf(refute_15_122,plain,
( e0 != e0
| op(e0,e0) != e0
| op(e0,e0) = e0 ),
introduced(tautology,[equality,[$cnf( $equal(op(e0,e0),e0) ),[0,0],$fot(e0)]]) ).
cnf(refute_15_123,plain,
( e0 != e0
| op(e0,e0) = e0
| op(e0,e0) = e1
| op(e0,e0) = e2
| op(e0,e0) = e3
| op(e0,e0) = e4 ),
inference(resolve,[$cnf( $equal(op(e0,e0),e0) )],[refute_15_121,refute_15_122]) ).
cnf(refute_15_124,plain,
( e0 != e0
| op(e0,e0) = e1
| op(e0,e0) = e2
| op(e0,e0) = e3
| op(e0,e0) = e4 ),
inference(resolve,[$cnf( $equal(op(e0,e0),e0) )],[refute_15_123,refute_15_120]) ).
cnf(refute_15_125,plain,
( op(e0,e0) = e1
| op(e0,e0) = e2
| op(e0,e0) = e3
| op(e0,e0) = e4 ),
inference(resolve,[$cnf( $equal(e0,e0) )],[refute_15_114,refute_15_124]) ).
cnf(refute_15_126,plain,
op(e0,e0) != op(e0,e4),
inference(canonicalize,[],[normalize_15_24]) ).
cnf(refute_15_127,plain,
op(e0,e4) != op(e1,e4),
inference(canonicalize,[],[normalize_15_25]) ).
cnf(refute_15_128,plain,
( op(e0,e4) = e0
| op(e0,e4) = e1
| op(e0,e4) = e2
| op(e0,e4) = e3
| op(e0,e4) = e4 ),
inference(canonicalize,[],[normalize_15_26]) ).
cnf(refute_15_129,plain,
op(e0,e4) != op(e4,e4),
inference(canonicalize,[],[normalize_15_27]) ).
cnf(refute_15_130,plain,
( op(e0,e4) != e0
| op(e4,e4) != e0
| op(e0,e4) = op(e4,e4) ),
introduced(tautology,[equality,[$cnf( ~ $equal(op(e0,e4),op(e4,e4)) ),[1],$fot(e0)]]) ).
cnf(refute_15_131,plain,
( op(e0,e4) != e0
| op(e0,e4) = op(e4,e4) ),
inference(resolve,[$cnf( $equal(op(e4,e4),e0) )],[refute_15_81,refute_15_130]) ).
cnf(refute_15_132,plain,
op(e0,e4) != e0,
inference(resolve,[$cnf( $equal(op(e0,e4),op(e4,e4)) )],[refute_15_131,refute_15_129]) ).
cnf(refute_15_133,plain,
( op(e0,e4) = e1
| op(e0,e4) = e2
| op(e0,e4) = e3
| op(e0,e4) = e4 ),
inference(resolve,[$cnf( $equal(op(e0,e4),e0) )],[refute_15_128,refute_15_132]) ).
cnf(refute_15_134,plain,
op(e0,e4) != op(e3,e4),
inference(canonicalize,[],[normalize_15_28]) ).
cnf(refute_15_135,plain,
( op(e0,e4) != e1
| op(e3,e4) != e1
| op(e0,e4) = op(e3,e4) ),
introduced(tautology,[equality,[$cnf( ~ $equal(op(e0,e4),op(e3,e4)) ),[1],$fot(e1)]]) ).
cnf(refute_15_136,plain,
( op(e0,e4) != e1
| op(e0,e4) = op(e3,e4) ),
inference(resolve,[$cnf( $equal(op(e3,e4),e1) )],[refute_15_56,refute_15_135]) ).
cnf(refute_15_137,plain,
op(e0,e4) != e1,
inference(resolve,[$cnf( $equal(op(e0,e4),op(e3,e4)) )],[refute_15_136,refute_15_134]) ).
cnf(refute_15_138,plain,
( op(e0,e4) = e2
| op(e0,e4) = e3
| op(e0,e4) = e4 ),
inference(resolve,[$cnf( $equal(op(e0,e4),e1) )],[refute_15_133,refute_15_137]) ).
cnf(refute_15_139,plain,
op(e0,e4) != op(e2,e4),
inference(canonicalize,[],[normalize_15_29]) ).
cnf(refute_15_140,plain,
( op(e0,e4) != e3
| op(e2,e4) != e3
| op(e0,e4) = op(e2,e4) ),
introduced(tautology,[equality,[$cnf( ~ $equal(op(e0,e4),op(e2,e4)) ),[1],$fot(e3)]]) ).
cnf(refute_15_141,plain,
( op(e0,e4) != e3
| op(e0,e4) = op(e2,e4) ),
inference(resolve,[$cnf( $equal(op(e2,e4),e3) )],[refute_15_27,refute_15_140]) ).
cnf(refute_15_142,plain,
op(e0,e4) != e3,
inference(resolve,[$cnf( $equal(op(e0,e4),op(e2,e4)) )],[refute_15_141,refute_15_139]) ).
cnf(refute_15_143,plain,
( op(e0,e4) = e2
| op(e0,e4) = e4 ),
inference(resolve,[$cnf( $equal(op(e0,e4),e3) )],[refute_15_138,refute_15_142]) ).
cnf(refute_15_144,plain,
( e4 != op(e1,e4)
| op(e0,e4) != e4
| op(e0,e4) = op(e1,e4) ),
introduced(tautology,[equality,[$cnf( $equal(op(e0,e4),e4) ),[1],$fot(op(e1,e4))]]) ).
cnf(refute_15_145,plain,
( e4 != op(e1,e4)
| op(e0,e4) = e2
| op(e0,e4) = op(e1,e4) ),
inference(resolve,[$cnf( $equal(op(e0,e4),e4) )],[refute_15_143,refute_15_144]) ).
cnf(refute_15_146,plain,
( e4 != op(e1,e4)
| op(e0,e4) = e2 ),
inference(resolve,[$cnf( $equal(op(e0,e4),op(e1,e4)) )],[refute_15_145,refute_15_127]) ).
cnf(refute_15_147,plain,
op(unit,e4) = e4,
inference(canonicalize,[],[normalize_15_30]) ).
cnf(refute_15_148,plain,
op(unit,e4) = op(unit,e4),
introduced(tautology,[refl,[$fot(op(unit,e4))]]) ).
cnf(refute_15_149,plain,
( op(unit,e4) != op(unit,e4)
| unit != e1
| op(unit,e4) = op(e1,e4) ),
introduced(tautology,[equality,[$cnf( $equal(op(unit,e4),op(unit,e4)) ),[1,0],$fot(e1)]]) ).
cnf(refute_15_150,plain,
( unit != e1
| op(unit,e4) = op(e1,e4) ),
inference(resolve,[$cnf( $equal(op(unit,e4),op(unit,e4)) )],[refute_15_148,refute_15_149]) ).
cnf(refute_15_151,plain,
op(unit,e4) = op(e1,e4),
inference(resolve,[$cnf( $equal(unit,e1) )],[refute_15_99,refute_15_150]) ).
cnf(refute_15_152,plain,
( op(unit,e4) != e4
| op(unit,e4) != op(e1,e4)
| op(e1,e4) = e4 ),
introduced(tautology,[equality,[$cnf( $equal(op(unit,e4),e4) ),[0],$fot(op(e1,e4))]]) ).
cnf(refute_15_153,plain,
( op(unit,e4) != e4
| op(e1,e4) = e4 ),
inference(resolve,[$cnf( $equal(op(unit,e4),op(e1,e4)) )],[refute_15_151,refute_15_152]) ).
cnf(refute_15_154,plain,
op(e1,e4) = e4,
inference(resolve,[$cnf( $equal(op(unit,e4),e4) )],[refute_15_147,refute_15_153]) ).
cnf(refute_15_155,plain,
( e4 != e4
| op(e1,e4) != e4
| e4 = op(e1,e4) ),
introduced(tautology,[equality,[$cnf( ~ $equal(e4,op(e1,e4)) ),[1],$fot(e4)]]) ).
cnf(refute_15_156,plain,
( e4 != e4
| e4 = op(e1,e4) ),
inference(resolve,[$cnf( $equal(op(e1,e4),e4) )],[refute_15_154,refute_15_155]) ).
cnf(refute_15_157,plain,
( e4 != e4
| op(e0,e4) = e2 ),
inference(resolve,[$cnf( $equal(e4,op(e1,e4)) )],[refute_15_156,refute_15_146]) ).
cnf(refute_15_158,plain,
e4 = e4,
introduced(tautology,[refl,[$fot(e4)]]) ).
cnf(refute_15_159,plain,
op(e0,e4) = e2,
inference(resolve,[$cnf( $equal(e4,e4) )],[refute_15_158,refute_15_157]) ).
cnf(refute_15_160,plain,
( op(e0,e0) != e2
| op(e0,e4) != e2
| op(e0,e0) = op(e0,e4) ),
introduced(tautology,[equality,[$cnf( ~ $equal(op(e0,e0),op(e0,e4)) ),[1],$fot(e2)]]) ).
cnf(refute_15_161,plain,
( op(e0,e0) != e2
| op(e0,e0) = op(e0,e4) ),
inference(resolve,[$cnf( $equal(op(e0,e4),e2) )],[refute_15_159,refute_15_160]) ).
cnf(refute_15_162,plain,
op(e0,e0) != e2,
inference(resolve,[$cnf( $equal(op(e0,e0),op(e0,e4)) )],[refute_15_161,refute_15_126]) ).
cnf(refute_15_163,plain,
( op(e0,e0) = e1
| op(e0,e0) = e3
| op(e0,e0) = e4 ),
inference(resolve,[$cnf( $equal(op(e0,e0),e2) )],[refute_15_125,refute_15_162]) ).
cnf(refute_15_164,plain,
op(e0,e0) != op(e4,e0),
inference(canonicalize,[],[normalize_15_31]) ).
cnf(refute_15_165,plain,
op(op(e3,e0),e0) = e3,
inference(canonicalize,[],[normalize_15_32]) ).
cnf(refute_15_166,plain,
op(e1,e0) != op(e3,e0),
inference(canonicalize,[],[normalize_15_33]) ).
cnf(refute_15_167,plain,
( op(e3,e0) = e0
| op(e3,e0) = e1
| op(e3,e0) = e2
| op(e3,e0) = e3
| op(e3,e0) = e4 ),
inference(canonicalize,[],[normalize_15_34]) ).
cnf(refute_15_168,plain,
op(e3,e0) != op(e3,e4),
inference(canonicalize,[],[normalize_15_35]) ).
cnf(refute_15_169,plain,
( op(e3,e0) != e1
| op(e3,e4) != e1
| op(e3,e0) = op(e3,e4) ),
introduced(tautology,[equality,[$cnf( ~ $equal(op(e3,e0),op(e3,e4)) ),[1],$fot(e1)]]) ).
cnf(refute_15_170,plain,
( op(e3,e0) != e1
| op(e3,e0) = op(e3,e4) ),
inference(resolve,[$cnf( $equal(op(e3,e4),e1) )],[refute_15_56,refute_15_169]) ).
cnf(refute_15_171,plain,
op(e3,e0) != e1,
inference(resolve,[$cnf( $equal(op(e3,e0),op(e3,e4)) )],[refute_15_170,refute_15_168]) ).
cnf(refute_15_172,plain,
( op(e3,e0) = e0
| op(e3,e0) = e2
| op(e3,e0) = e3
| op(e3,e0) = e4 ),
inference(resolve,[$cnf( $equal(op(e3,e0),e1) )],[refute_15_167,refute_15_171]) ).
cnf(refute_15_173,plain,
( op(e3,e0) != e2
| op(op(e3,e0),e0) != e3
| op(e2,e0) = e3 ),
introduced(tautology,[equality,[$cnf( $equal(op(op(e3,e0),e0),e3) ),[0,0],$fot(e2)]]) ).
cnf(refute_15_174,plain,
( op(op(e3,e0),e0) != e3
| op(e2,e0) = e3
| op(e3,e0) = e0
| op(e3,e0) = e3
| op(e3,e0) = e4 ),
inference(resolve,[$cnf( $equal(op(e3,e0),e2) )],[refute_15_172,refute_15_173]) ).
cnf(refute_15_175,plain,
( op(e2,e0) = e3
| op(e3,e0) = e0
| op(e3,e0) = e3
| op(e3,e0) = e4 ),
inference(resolve,[$cnf( $equal(op(op(e3,e0),e0),e3) )],[refute_15_165,refute_15_174]) ).
cnf(refute_15_176,plain,
op(e2,e0) != op(e2,e4),
inference(canonicalize,[],[normalize_15_36]) ).
cnf(refute_15_177,plain,
( op(e2,e0) != e3
| op(e2,e4) != e3
| op(e2,e0) = op(e2,e4) ),
introduced(tautology,[equality,[$cnf( ~ $equal(op(e2,e0),op(e2,e4)) ),[1],$fot(e3)]]) ).
cnf(refute_15_178,plain,
( op(e2,e0) != e3
| op(e2,e0) = op(e2,e4) ),
inference(resolve,[$cnf( $equal(op(e2,e4),e3) )],[refute_15_27,refute_15_177]) ).
cnf(refute_15_179,plain,
op(e2,e0) != e3,
inference(resolve,[$cnf( $equal(op(e2,e0),op(e2,e4)) )],[refute_15_178,refute_15_176]) ).
cnf(refute_15_180,plain,
( op(e3,e0) = e0
| op(e3,e0) = e3
| op(e3,e0) = e4 ),
inference(resolve,[$cnf( $equal(op(e2,e0),e3) )],[refute_15_175,refute_15_179]) ).
cnf(refute_15_181,plain,
( op(e1,e0) != e0
| op(e3,e0) != e0
| op(e1,e0) = op(e3,e0) ),
introduced(tautology,[equality,[$cnf( ~ $equal(op(e1,e0),op(e3,e0)) ),[1],$fot(e0)]]) ).
cnf(refute_15_182,plain,
( op(e1,e0) != e0
| op(e1,e0) = op(e3,e0)
| op(e3,e0) = e3
| op(e3,e0) = e4 ),
inference(resolve,[$cnf( $equal(op(e3,e0),e0) )],[refute_15_180,refute_15_181]) ).
cnf(refute_15_183,plain,
( op(e1,e0) != e0
| op(e3,e0) = e3
| op(e3,e0) = e4 ),
inference(resolve,[$cnf( $equal(op(e1,e0),op(e3,e0)) )],[refute_15_182,refute_15_166]) ).
cnf(refute_15_184,plain,
op(unit,e0) = op(unit,e0),
introduced(tautology,[refl,[$fot(op(unit,e0))]]) ).
cnf(refute_15_185,plain,
( op(unit,e0) != op(unit,e0)
| unit != e1
| op(unit,e0) = op(e1,e0) ),
introduced(tautology,[equality,[$cnf( $equal(op(unit,e0),op(unit,e0)) ),[1,0],$fot(e1)]]) ).
cnf(refute_15_186,plain,
( unit != e1
| op(unit,e0) = op(e1,e0) ),
inference(resolve,[$cnf( $equal(op(unit,e0),op(unit,e0)) )],[refute_15_184,refute_15_185]) ).
cnf(refute_15_187,plain,
op(unit,e0) = op(e1,e0),
inference(resolve,[$cnf( $equal(unit,e1) )],[refute_15_99,refute_15_186]) ).
cnf(refute_15_188,plain,
( op(unit,e0) != e0
| op(unit,e0) != op(e1,e0)
| op(e1,e0) = e0 ),
introduced(tautology,[equality,[$cnf( $equal(op(unit,e0),e0) ),[0],$fot(op(e1,e0))]]) ).
cnf(refute_15_189,plain,
( op(unit,e0) != e0
| op(e1,e0) = e0 ),
inference(resolve,[$cnf( $equal(op(unit,e0),op(e1,e0)) )],[refute_15_187,refute_15_188]) ).
cnf(refute_15_190,plain,
op(e1,e0) = e0,
inference(resolve,[$cnf( $equal(op(unit,e0),e0) )],[refute_15_4,refute_15_189]) ).
cnf(refute_15_191,plain,
( e0 != e0
| op(e1,e0) != e0
| op(e1,e0) = e0 ),
introduced(tautology,[equality,[$cnf( $equal(op(e1,e0),e0) ),[0,1],$fot(e0)]]) ).
cnf(refute_15_192,plain,
( e0 != e0
| op(e1,e0) = e0 ),
inference(resolve,[$cnf( $equal(op(e1,e0),e0) )],[refute_15_190,refute_15_191]) ).
cnf(refute_15_193,plain,
( e0 != e0
| op(e3,e0) = e3
| op(e3,e0) = e4 ),
inference(resolve,[$cnf( $equal(op(e1,e0),e0) )],[refute_15_192,refute_15_183]) ).
cnf(refute_15_194,plain,
( op(e3,e0) = e3
| op(e3,e0) = e4 ),
inference(resolve,[$cnf( $equal(e0,e0) )],[refute_15_114,refute_15_193]) ).
cnf(refute_15_195,plain,
op(e3,e0) != op(e3,e1),
inference(canonicalize,[],[normalize_15_37]) ).
cnf(refute_15_196,plain,
op(e3,unit) = op(e3,unit),
introduced(tautology,[refl,[$fot(op(e3,unit))]]) ).
cnf(refute_15_197,plain,
( op(e3,unit) != op(e3,unit)
| unit != e1
| op(e3,unit) = op(e3,e1) ),
introduced(tautology,[equality,[$cnf( $equal(op(e3,unit),op(e3,unit)) ),[1,1],$fot(e1)]]) ).
cnf(refute_15_198,plain,
( unit != e1
| op(e3,unit) = op(e3,e1) ),
inference(resolve,[$cnf( $equal(op(e3,unit),op(e3,unit)) )],[refute_15_196,refute_15_197]) ).
cnf(refute_15_199,plain,
op(e3,unit) = op(e3,e1),
inference(resolve,[$cnf( $equal(unit,e1) )],[refute_15_99,refute_15_198]) ).
cnf(refute_15_200,plain,
( op(e3,unit) != e3
| op(e3,unit) != op(e3,e1)
| op(e3,e1) = e3 ),
introduced(tautology,[equality,[$cnf( $equal(op(e3,unit),e3) ),[0],$fot(op(e3,e1))]]) ).
cnf(refute_15_201,plain,
( op(e3,unit) != e3
| op(e3,e1) = e3 ),
inference(resolve,[$cnf( $equal(op(e3,unit),op(e3,e1)) )],[refute_15_199,refute_15_200]) ).
cnf(refute_15_202,plain,
op(e3,e1) = e3,
inference(resolve,[$cnf( $equal(op(e3,unit),e3) )],[refute_15_3,refute_15_201]) ).
cnf(refute_15_203,plain,
( op(e3,e0) != e3
| op(e3,e1) != e3
| op(e3,e0) = op(e3,e1) ),
introduced(tautology,[equality,[$cnf( ~ $equal(op(e3,e0),op(e3,e1)) ),[1],$fot(e3)]]) ).
cnf(refute_15_204,plain,
( op(e3,e0) != e3
| op(e3,e0) = op(e3,e1) ),
inference(resolve,[$cnf( $equal(op(e3,e1),e3) )],[refute_15_202,refute_15_203]) ).
cnf(refute_15_205,plain,
op(e3,e0) != e3,
inference(resolve,[$cnf( $equal(op(e3,e0),op(e3,e1)) )],[refute_15_204,refute_15_195]) ).
cnf(refute_15_206,plain,
op(e3,e0) = e4,
inference(resolve,[$cnf( $equal(op(e3,e0),e3) )],[refute_15_194,refute_15_205]) ).
cnf(refute_15_207,plain,
op(op(e3,e0),e0) = op(op(e3,e0),e0),
introduced(tautology,[refl,[$fot(op(op(e3,e0),e0))]]) ).
cnf(refute_15_208,plain,
( op(e3,e0) != e4
| op(op(e3,e0),e0) != op(op(e3,e0),e0)
| op(op(e3,e0),e0) = op(e4,e0) ),
introduced(tautology,[equality,[$cnf( $equal(op(op(e3,e0),e0),op(op(e3,e0),e0)) ),[1,0],$fot(e4)]]) ).
cnf(refute_15_209,plain,
( op(e3,e0) != e4
| op(op(e3,e0),e0) = op(e4,e0) ),
inference(resolve,[$cnf( $equal(op(op(e3,e0),e0),op(op(e3,e0),e0)) )],[refute_15_207,refute_15_208]) ).
cnf(refute_15_210,plain,
op(op(e3,e0),e0) = op(e4,e0),
inference(resolve,[$cnf( $equal(op(e3,e0),e4) )],[refute_15_206,refute_15_209]) ).
cnf(refute_15_211,plain,
( op(op(e3,e0),e0) != e3
| op(op(e3,e0),e0) != op(e4,e0)
| op(e4,e0) = e3 ),
introduced(tautology,[equality,[$cnf( $equal(op(op(e3,e0),e0),e3) ),[0],$fot(op(e4,e0))]]) ).
cnf(refute_15_212,plain,
( op(op(e3,e0),e0) != e3
| op(e4,e0) = e3 ),
inference(resolve,[$cnf( $equal(op(op(e3,e0),e0),op(e4,e0)) )],[refute_15_210,refute_15_211]) ).
cnf(refute_15_213,plain,
op(e4,e0) = e3,
inference(resolve,[$cnf( $equal(op(op(e3,e0),e0),e3) )],[refute_15_165,refute_15_212]) ).
cnf(refute_15_214,plain,
( op(e0,e0) != e3
| op(e4,e0) != e3
| op(e0,e0) = op(e4,e0) ),
introduced(tautology,[equality,[$cnf( ~ $equal(op(e0,e0),op(e4,e0)) ),[1],$fot(e3)]]) ).
cnf(refute_15_215,plain,
( op(e0,e0) != e3
| op(e0,e0) = op(e4,e0) ),
inference(resolve,[$cnf( $equal(op(e4,e0),e3) )],[refute_15_213,refute_15_214]) ).
cnf(refute_15_216,plain,
op(e0,e0) != e3,
inference(resolve,[$cnf( $equal(op(e0,e0),op(e4,e0)) )],[refute_15_215,refute_15_164]) ).
cnf(refute_15_217,plain,
( op(e0,e0) = e1
| op(e0,e0) = e4 ),
inference(resolve,[$cnf( $equal(op(e0,e0),e3) )],[refute_15_163,refute_15_216]) ).
cnf(refute_15_218,plain,
op(e0,e0) != op(e3,e0),
inference(canonicalize,[],[normalize_15_38]) ).
cnf(refute_15_219,plain,
( op(e0,e0) != e4
| op(e3,e0) != e4
| op(e0,e0) = op(e3,e0) ),
introduced(tautology,[equality,[$cnf( ~ $equal(op(e0,e0),op(e3,e0)) ),[1],$fot(e4)]]) ).
cnf(refute_15_220,plain,
( op(e0,e0) != e4
| op(e0,e0) = op(e3,e0) ),
inference(resolve,[$cnf( $equal(op(e3,e0),e4) )],[refute_15_206,refute_15_219]) ).
cnf(refute_15_221,plain,
op(e0,e0) != e4,
inference(resolve,[$cnf( $equal(op(e0,e0),op(e3,e0)) )],[refute_15_220,refute_15_218]) ).
cnf(refute_15_222,plain,
op(e0,e0) = e1,
inference(resolve,[$cnf( $equal(op(e0,e0),e4) )],[refute_15_217,refute_15_221]) ).
cnf(refute_15_223,plain,
( e1 != op(e0,e3)
| op(e0,e0) != e1
| op(e0,e0) = op(e0,e3) ),
introduced(tautology,[equality,[$cnf( $equal(op(e0,e0),e1) ),[1],$fot(op(e0,e3))]]) ).
cnf(refute_15_224,plain,
( e1 != op(e0,e3)
| op(e0,e0) = op(e0,e3) ),
inference(resolve,[$cnf( $equal(op(e0,e0),e1) )],[refute_15_222,refute_15_223]) ).
cnf(refute_15_225,plain,
e1 != op(e0,e3),
inference(resolve,[$cnf( $equal(op(e0,e0),op(e0,e3)) )],[refute_15_224,refute_15_116]) ).
cnf(refute_15_226,plain,
( op(e0,e3) != e1
| e1 = op(e0,e3) ),
inference(subst,[],[refute_15_16:[bind(X,$fot(op(e0,e3))),bind(Y,$fot(e1))]]) ).
cnf(refute_15_227,plain,
op(e0,e3) != e1,
inference(resolve,[$cnf( $equal(e1,op(e0,e3)) )],[refute_15_226,refute_15_225]) ).
cnf(refute_15_228,plain,
( op(e0,e3) = e2
| op(e0,e3) = e3
| op(e0,e3) = e4 ),
inference(resolve,[$cnf( $equal(op(e0,e3),e1) )],[refute_15_115,refute_15_227]) ).
cnf(refute_15_229,plain,
op(e0,e3) != op(e0,e4),
inference(canonicalize,[],[normalize_15_39]) ).
cnf(refute_15_230,plain,
( op(e0,e3) != e2
| op(e0,e4) != e2
| op(e0,e3) = op(e0,e4) ),
introduced(tautology,[equality,[$cnf( ~ $equal(op(e0,e3),op(e0,e4)) ),[1],$fot(e2)]]) ).
cnf(refute_15_231,plain,
( op(e0,e3) != e2
| op(e0,e3) = op(e0,e4) ),
inference(resolve,[$cnf( $equal(op(e0,e4),e2) )],[refute_15_159,refute_15_230]) ).
cnf(refute_15_232,plain,
op(e0,e3) != e2,
inference(resolve,[$cnf( $equal(op(e0,e3),op(e0,e4)) )],[refute_15_231,refute_15_229]) ).
cnf(refute_15_233,plain,
( op(e0,e3) = e3
| op(e0,e3) = e4 ),
inference(resolve,[$cnf( $equal(op(e0,e3),e2) )],[refute_15_228,refute_15_232]) ).
cnf(refute_15_234,plain,
op(e0,e3) != op(e1,e3),
inference(canonicalize,[],[normalize_15_40]) ).
cnf(refute_15_235,plain,
op(unit,e3) = op(unit,e3),
introduced(tautology,[refl,[$fot(op(unit,e3))]]) ).
cnf(refute_15_236,plain,
( op(unit,e3) != op(unit,e3)
| unit != e1
| op(unit,e3) = op(e1,e3) ),
introduced(tautology,[equality,[$cnf( $equal(op(unit,e3),op(unit,e3)) ),[1,0],$fot(e1)]]) ).
cnf(refute_15_237,plain,
( unit != e1
| op(unit,e3) = op(e1,e3) ),
inference(resolve,[$cnf( $equal(op(unit,e3),op(unit,e3)) )],[refute_15_235,refute_15_236]) ).
cnf(refute_15_238,plain,
op(unit,e3) = op(e1,e3),
inference(resolve,[$cnf( $equal(unit,e1) )],[refute_15_99,refute_15_237]) ).
cnf(refute_15_239,plain,
( op(unit,e3) != e3
| op(unit,e3) != op(e1,e3)
| op(e1,e3) = e3 ),
introduced(tautology,[equality,[$cnf( $equal(op(unit,e3),e3) ),[0],$fot(op(e1,e3))]]) ).
cnf(refute_15_240,plain,
( op(unit,e3) != e3
| op(e1,e3) = e3 ),
inference(resolve,[$cnf( $equal(op(unit,e3),op(e1,e3)) )],[refute_15_238,refute_15_239]) ).
cnf(refute_15_241,plain,
op(e1,e3) = e3,
inference(resolve,[$cnf( $equal(op(unit,e3),e3) )],[refute_15_6,refute_15_240]) ).
cnf(refute_15_242,plain,
( op(e0,e3) != e3
| op(e1,e3) != e3
| op(e0,e3) = op(e1,e3) ),
introduced(tautology,[equality,[$cnf( ~ $equal(op(e0,e3),op(e1,e3)) ),[1],$fot(e3)]]) ).
cnf(refute_15_243,plain,
( op(e0,e3) != e3
| op(e0,e3) = op(e1,e3) ),
inference(resolve,[$cnf( $equal(op(e1,e3),e3) )],[refute_15_241,refute_15_242]) ).
cnf(refute_15_244,plain,
op(e0,e3) != e3,
inference(resolve,[$cnf( $equal(op(e0,e3),op(e1,e3)) )],[refute_15_243,refute_15_234]) ).
cnf(refute_15_245,plain,
op(e0,e3) = e4,
inference(resolve,[$cnf( $equal(op(e0,e3),e3) )],[refute_15_233,refute_15_244]) ).
cnf(refute_15_246,plain,
( op(e0,e3) != e4
| op(e3,e0) != e4
| op(e0,e3) = op(e3,e0) ),
introduced(tautology,[equality,[$cnf( ~ $equal(op(e0,e3),op(e3,e0)) ),[1],$fot(e4)]]) ).
cnf(refute_15_247,plain,
( op(e0,e3) != e4
| op(e0,e3) = op(e3,e0) ),
inference(resolve,[$cnf( $equal(op(e3,e0),e4) )],[refute_15_206,refute_15_246]) ).
cnf(refute_15_248,plain,
op(e0,e3) != e4,
inference(resolve,[$cnf( $equal(op(e0,e3),op(e3,e0)) )],[refute_15_247,refute_15_2]) ).
cnf(refute_15_249,plain,
$false,
inference(resolve,[$cnf( $equal(op(e0,e3),e4) )],[refute_15_245,refute_15_248]) ).
fof(negate_16_0,plain,
~ ( ( ( ( op(e0,op(e0,e0)) != e0
& op(e0,op(e0,e0)) = e0 )
| ( op(e1,op(e1,e0)) != e0
& op(e0,op(e1,e0)) = e1 )
| ( op(e2,op(e2,e0)) != e0
& op(e0,op(e2,e0)) = e2 )
| ( op(e3,op(e3,e0)) != e0
& op(e0,op(e3,e0)) = e3 )
| ( op(e4,op(e4,e0)) != e0
& op(e0,op(e4,e0)) = e4 ) )
& ( ( op(e0,op(e0,e1)) != e1
& op(e1,op(e0,e1)) = e0 )
| ( op(e1,op(e1,e1)) != e1
& op(e1,op(e1,e1)) = e1 )
| ( op(e2,op(e2,e1)) != e1
& op(e1,op(e2,e1)) = e2 )
| ( op(e3,op(e3,e1)) != e1
& op(e1,op(e3,e1)) = e3 )
| ( op(e4,op(e4,e1)) != e1
& op(e1,op(e4,e1)) = e4 ) )
& ( ( op(e0,op(e0,e2)) != e2
& op(e2,op(e0,e2)) = e0 )
| ( op(e1,op(e1,e2)) != e2
& op(e2,op(e1,e2)) = e1 )
| ( op(e2,op(e2,e2)) != e2
& op(e2,op(e2,e2)) = e2 )
| ( op(e3,op(e3,e2)) != e2
& op(e2,op(e3,e2)) = e3 )
| ( op(e4,op(e4,e2)) != e2
& op(e2,op(e4,e2)) = e4 ) )
& ( ( op(e0,op(e0,e3)) != e3
& op(e3,op(e0,e3)) = e0 )
| ( op(e1,op(e1,e3)) != e3
& op(e3,op(e1,e3)) = e1 )
| ( op(e2,op(e2,e3)) != e3
& op(e3,op(e2,e3)) = e2 )
| ( op(e3,op(e3,e3)) != e3
& op(e3,op(e3,e3)) = e3 )
| ( op(e4,op(e4,e3)) != e3
& op(e3,op(e4,e3)) = e4 ) )
& ( ( op(e0,op(e0,e4)) != e4
& op(e4,op(e0,e4)) = e0 )
| ( op(e1,op(e1,e4)) != e4
& op(e4,op(e1,e4)) = e1 )
| ( op(e2,op(e2,e4)) != e4
& op(e4,op(e2,e4)) = e2 )
| ( op(e3,op(e3,e4)) != e4
& op(e4,op(e3,e4)) = e3 )
| ( op(e4,op(e4,e4)) != e4
& op(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) = 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_1,plain,
( op(e1,e2) = e0
| op(e1,e2) = e1
| op(e1,e2) = e2
| op(e1,e2) = e3
| op(e1,e2) = e4 ),
inference(conjunct,[],[normalize_16_0]) ).
fof(normalize_16_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_16_3,plain,
op(e1,e2) != op(e2,e2),
inference(conjunct,[],[normalize_16_2]) ).
fof(normalize_16_4,plain,
( e0 = op(op(e2,e2),op(e2,e2))
& e1 = op(op(e2,op(e2,e2)),op(e2,e2))
& e3 = op(e2,op(e2,e2))
& e4 = op(e2,e2) ),
inference(canonicalize,[],[ax6]) ).
fof(normalize_16_5,plain,
e4 = op(e2,e2),
inference(conjunct,[],[normalize_16_4]) ).
fof(normalize_16_6,plain,
op(e1,e2) != op(e3,e2),
inference(conjunct,[],[normalize_16_2]) ).
fof(normalize_16_7,plain,
op(e0,e2) != op(e3,e2),
inference(conjunct,[],[normalize_16_2]) ).
fof(normalize_16_8,plain,
( op(e3,e2) = e0
| op(e3,e2) = e1
| op(e3,e2) = e2
| op(e3,e2) = e3
| op(e3,e2) = e4 ),
inference(conjunct,[],[normalize_16_0]) ).
fof(normalize_16_9,plain,
op(e2,e2) != op(e3,e2),
inference(conjunct,[],[normalize_16_2]) ).
fof(normalize_16_10,plain,
op(e3,e2) != op(e3,e4),
inference(conjunct,[],[normalize_16_2]) ).
fof(normalize_16_11,plain,
e1 = op(op(e2,op(e2,e2)),op(e2,e2)),
inference(conjunct,[],[normalize_16_4]) ).
fof(normalize_16_12,plain,
e3 = op(e2,op(e2,e2)),
inference(conjunct,[],[normalize_16_4]) ).
fof(normalize_16_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_16_14,plain,
op(unit,e2) = e2,
inference(conjunct,[],[normalize_16_13]) ).
fof(normalize_16_15,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,op(e0,e1)) != e1
& op(e1,op(e0,e1)) = e0 )
| ( op(e2,op(e2,e1)) != e1
& op(e1,op(e2,e1)) = e2 )
| ( op(e3,op(e3,e1)) != e1
& op(e1,op(e3,e1)) = e3 )
| ( op(e4,op(e4,e1)) != e1
& op(e1,op(e4,e1)) = e4 ) )
& ( ( op(e0,op(e0,e2)) != e2
& op(e2,op(e0,e2)) = e0 )
| ( op(e1,op(e1,e2)) != e2
& op(e2,op(e1,e2)) = e1 )
| ( op(e3,op(e3,e2)) != e2
& op(e2,op(e3,e2)) = e3 )
| ( op(e4,op(e4,e2)) != e2
& op(e2,op(e4,e2)) = e4 ) )
& ( ( op(e0,op(e0,e3)) != e3
& op(e3,op(e0,e3)) = e0 )
| ( op(e1,op(e1,e3)) != e3
& op(e3,op(e1,e3)) = e1 )
| ( op(e2,op(e2,e3)) != e3
& op(e3,op(e2,e3)) = e2 )
| ( op(e4,op(e4,e3)) != e3
& op(e3,op(e4,e3)) = e4 ) )
& ( ( op(e0,op(e0,e4)) != e4
& op(e4,op(e0,e4)) = e0 )
| ( op(e1,op(e1,e4)) != e4
& op(e4,op(e1,e4)) = e1 )
| ( op(e2,op(e2,e4)) != e4
& op(e4,op(e2,e4)) = e2 )
| ( op(e3,op(e3,e4)) != e4
& op(e4,op(e3,e4)) = e3 ) )
& ( ( op(e1,op(e1,e0)) != e0
& op(e0,op(e1,e0)) = e1 )
| ( op(e2,op(e2,e0)) != e0
& op(e0,op(e2,e0)) = e2 )
| ( op(e3,op(e3,e0)) != e0
& op(e0,op(e3,e0)) = e3 )
| ( op(e4,op(e4,e0)) != e0
& op(e0,op(e4,e0)) = e4 ) ) ),
inference(canonicalize,[],[negate_16_0]) ).
fof(normalize_16_16,plain,
op(e1,e3) != op(e3,e1),
inference(conjunct,[],[normalize_16_15]) ).
fof(normalize_16_17,plain,
op(unit,e3) = e3,
inference(conjunct,[],[normalize_16_13]) ).
fof(normalize_16_18,plain,
op(unit,e4) = e4,
inference(conjunct,[],[normalize_16_13]) ).
fof(normalize_16_19,plain,
( unit = e0
| unit = e1
| unit = e2
| unit = e3
| unit = e4 ),
inference(conjunct,[],[normalize_16_13]) ).
fof(normalize_16_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_16_21,plain,
e3 != e4,
inference(conjunct,[],[normalize_16_20]) ).
fof(normalize_16_22,plain,
e1 != e4,
inference(conjunct,[],[normalize_16_20]) ).
fof(normalize_16_23,plain,
e0 = op(op(e2,e2),op(e2,e2)),
inference(conjunct,[],[normalize_16_4]) ).
fof(normalize_16_24,plain,
e0 != e4,
inference(conjunct,[],[normalize_16_20]) ).
fof(normalize_16_25,plain,
op(e3,unit) = e3,
inference(conjunct,[],[normalize_16_13]) ).
fof(normalize_16_26,plain,
op(e3,e0) != op(e3,e2),
inference(conjunct,[],[normalize_16_2]) ).
fof(normalize_16_27,plain,
op(e1,e0) != op(e1,e2),
inference(conjunct,[],[normalize_16_2]) ).
fof(normalize_16_28,plain,
op(e1,unit) = e1,
inference(conjunct,[],[normalize_16_13]) ).
fof(normalize_16_29,plain,
op(e1,e2) != op(e1,e4),
inference(conjunct,[],[normalize_16_2]) ).
fof(normalize_16_30,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_31,plain,
( op(e0,e4) = e2
| op(e1,e4) = e2
| op(e2,e4) = e2
| op(e3,e4) = e2
| op(e4,e4) = e2 ),
inference(conjunct,[],[normalize_16_30]) ).
fof(normalize_16_32,plain,
e0 != e2,
inference(conjunct,[],[normalize_16_20]) ).
fof(normalize_16_33,plain,
e1 != e2,
inference(conjunct,[],[normalize_16_20]) ).
fof(normalize_16_34,plain,
e2 != e3,
inference(conjunct,[],[normalize_16_20]) ).
fof(normalize_16_35,plain,
e2 != e4,
inference(conjunct,[],[normalize_16_20]) ).
fof(normalize_16_36,plain,
op(op(e3,e1),e1) = e3,
inference(conjunct,[],[normalize_16_15]) ).
fof(normalize_16_37,plain,
op(e0,e1) != op(e2,e1),
inference(conjunct,[],[normalize_16_2]) ).
fof(normalize_16_38,plain,
( op(e2,e1) = e0
| op(e2,e1) = e1
| op(e2,e1) = e2
| op(e2,e1) = e3
| op(e2,e1) = e4 ),
inference(conjunct,[],[normalize_16_0]) ).
fof(normalize_16_39,plain,
op(e2,e1) != op(e2,e2),
inference(conjunct,[],[normalize_16_2]) ).
fof(normalize_16_40,plain,
op(e2,e1) != op(e2,e4),
inference(conjunct,[],[normalize_16_2]) ).
fof(normalize_16_41,plain,
op(unit,e1) = e1,
inference(conjunct,[],[normalize_16_13]) ).
fof(normalize_16_42,plain,
op(e2,e0) != op(e2,e1),
inference(conjunct,[],[normalize_16_2]) ).
fof(normalize_16_43,plain,
op(e2,unit) = e2,
inference(conjunct,[],[normalize_16_13]) ).
fof(normalize_16_44,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_0]) ).
fof(normalize_16_45,plain,
op(e2,e1) != op(e3,e1),
inference(conjunct,[],[normalize_16_2]) ).
fof(normalize_16_46,plain,
op(e3,e1) != op(e3,e4),
inference(conjunct,[],[normalize_16_2]) ).
fof(normalize_16_47,plain,
op(e3,e0) != op(e3,e1),
inference(conjunct,[],[normalize_16_2]) ).
fof(normalize_16_48,plain,
op(e1,e1) != op(e3,e1),
inference(conjunct,[],[normalize_16_2]) ).
fof(normalize_16_49,plain,
( ( op(e0,op(e0,e1)) != e1
& op(e1,op(e0,e1)) = e0 )
| ( op(e2,op(e2,e1)) != e1
& op(e1,op(e2,e1)) = e2 )
| ( op(e3,op(e3,e1)) != e1
& op(e1,op(e3,e1)) = e3 )
| ( op(e4,op(e4,e1)) != e1
& op(e1,op(e4,e1)) = e4 ) ),
inference(conjunct,[],[normalize_16_15]) ).
fof(normalize_16_50,plain,
( ~ definitionFOFtoCNF_65
<=> ( op(e1,op(e0,e1)) != e0
| op(e0,op(e0,e1)) = e1 ) ),
inference(canonicalize,[],[definition_3]) ).
fof(normalize_16_51,plain,
( definitionFOFtoCNF_65
| ( op(e2,op(e2,e1)) != e1
& op(e1,op(e2,e1)) = e2 )
| ( op(e3,op(e3,e1)) != e1
& op(e1,op(e3,e1)) = e3 )
| ( op(e4,op(e4,e1)) != e1
& op(e1,op(e4,e1)) = e4 ) ),
inference(simplify,[],[normalize_16_49,normalize_16_50]) ).
fof(normalize_16_52,plain,
( ( op(e2,op(e2,e1)) != e1
| op(e3,op(e3,e1)) != e1
| op(e4,op(e4,e1)) != e1
| definitionFOFtoCNF_65 )
& ( op(e2,op(e2,e1)) != e1
| op(e3,op(e3,e1)) != e1
| op(e1,op(e4,e1)) = e4
| definitionFOFtoCNF_65 )
& ( op(e2,op(e2,e1)) != e1
| op(e4,op(e4,e1)) != e1
| op(e1,op(e3,e1)) = e3
| definitionFOFtoCNF_65 )
& ( op(e2,op(e2,e1)) != e1
| op(e1,op(e3,e1)) = e3
| op(e1,op(e4,e1)) = e4
| definitionFOFtoCNF_65 )
& ( op(e3,op(e3,e1)) != e1
| op(e4,op(e4,e1)) != e1
| op(e1,op(e2,e1)) = e2
| definitionFOFtoCNF_65 )
& ( op(e3,op(e3,e1)) != e1
| op(e1,op(e2,e1)) = e2
| op(e1,op(e4,e1)) = e4
| definitionFOFtoCNF_65 )
& ( op(e4,op(e4,e1)) != e1
| op(e1,op(e2,e1)) = e2
| op(e1,op(e3,e1)) = e3
| definitionFOFtoCNF_65 )
& ( op(e1,op(e2,e1)) = e2
| op(e1,op(e3,e1)) = e3
| op(e1,op(e4,e1)) = e4
| definitionFOFtoCNF_65 ) ),
inference(clausify,[],[normalize_16_51]) ).
fof(normalize_16_53,plain,
( op(e1,op(e2,e1)) = e2
| op(e1,op(e3,e1)) = e3
| op(e1,op(e4,e1)) = e4
| definitionFOFtoCNF_65 ),
inference(conjunct,[],[normalize_16_52]) ).
fof(normalize_16_54,plain,
( ( op(e0,op(e0,e1)) != e1
| ~ definitionFOFtoCNF_65 )
& ( ~ definitionFOFtoCNF_65
| op(e1,op(e0,e1)) = e0 )
& ( op(e1,op(e0,e1)) != e0
| op(e0,op(e0,e1)) = e1
| definitionFOFtoCNF_65 ) ),
inference(clausify,[],[normalize_16_50]) ).
fof(normalize_16_55,plain,
( op(e0,op(e0,e1)) != e1
| ~ definitionFOFtoCNF_65 ),
inference(conjunct,[],[normalize_16_54]) ).
fof(normalize_16_56,plain,
( op(e0,e1) = e3
| op(e1,e1) = e3
| op(e2,e1) = e3
| op(e3,e1) = e3
| op(e4,e1) = e3 ),
inference(conjunct,[],[normalize_16_30]) ).
fof(normalize_16_57,plain,
e1 != e3,
inference(conjunct,[],[normalize_16_20]) ).
fof(normalize_16_58,plain,
( op(e0,e3) = e0
| op(e1,e3) = e0
| op(e2,e3) = e0
| op(e3,e3) = e0
| op(e4,e3) = e0 ),
inference(conjunct,[],[normalize_16_30]) ).
fof(normalize_16_59,plain,
op(e4,e3) != op(e4,e4),
inference(conjunct,[],[normalize_16_2]) ).
fof(normalize_16_60,plain,
( op(e2,e0) = e1
| op(e2,e1) = e1
| op(e2,e2) = e1
| op(e2,e3) = e1
| op(e2,e4) = e1 ),
inference(conjunct,[],[normalize_16_30]) ).
fof(normalize_16_61,plain,
e0 != e1,
inference(conjunct,[],[normalize_16_20]) ).
fof(normalize_16_62,plain,
e0 != e3,
inference(conjunct,[],[normalize_16_20]) ).
fof(normalize_16_63,plain,
op(e3,e2) != op(e3,e3),
inference(conjunct,[],[normalize_16_2]) ).
fof(normalize_16_64,plain,
op(e1,e1) != op(e4,e1),
inference(conjunct,[],[normalize_16_2]) ).
fof(normalize_16_65,plain,
( op(e0,e1) = e4
| op(e1,e1) = e4
| op(e2,e1) = e4
| op(e3,e1) = e4
| op(e4,e1) = e4 ),
inference(conjunct,[],[normalize_16_30]) ).
fof(normalize_16_66,plain,
op(e4,e0) != op(e4,e1),
inference(conjunct,[],[normalize_16_2]) ).
fof(normalize_16_67,plain,
op(e4,unit) = e4,
inference(conjunct,[],[normalize_16_13]) ).
cnf(refute_16_0,plain,
( op(e1,e2) = e0
| op(e1,e2) = e1
| op(e1,e2) = e2
| op(e1,e2) = e3
| op(e1,e2) = e4 ),
inference(canonicalize,[],[normalize_16_1]) ).
cnf(refute_16_1,plain,
op(e1,e2) != op(e2,e2),
inference(canonicalize,[],[normalize_16_3]) ).
cnf(refute_16_2,plain,
e4 = op(e2,e2),
inference(canonicalize,[],[normalize_16_5]) ).
cnf(refute_16_3,plain,
X = X,
introduced(tautology,[refl,[$fot(X)]]) ).
cnf(refute_16_4,plain,
( X != X
| X != Y
| Y = X ),
introduced(tautology,[equality,[$cnf( $equal(X,X) ),[0],$fot(Y)]]) ).
cnf(refute_16_5,plain,
( X != Y
| Y = X ),
inference(resolve,[$cnf( $equal(X,X) )],[refute_16_3,refute_16_4]) ).
cnf(refute_16_6,plain,
( e4 != op(e2,e2)
| op(e2,e2) = e4 ),
inference(subst,[],[refute_16_5:[bind(X,$fot(e4)),bind(Y,$fot(op(e2,e2)))]]) ).
cnf(refute_16_7,plain,
op(e2,e2) = e4,
inference(resolve,[$cnf( $equal(e4,op(e2,e2)) )],[refute_16_2,refute_16_6]) ).
cnf(refute_16_8,plain,
( op(e1,e2) != e4
| op(e2,e2) != e4
| op(e1,e2) = op(e2,e2) ),
introduced(tautology,[equality,[$cnf( ~ $equal(op(e1,e2),op(e2,e2)) ),[1],$fot(e4)]]) ).
cnf(refute_16_9,plain,
( op(e1,e2) != e4
| op(e1,e2) = op(e2,e2) ),
inference(resolve,[$cnf( $equal(op(e2,e2),e4) )],[refute_16_7,refute_16_8]) ).
cnf(refute_16_10,plain,
op(e1,e2) != e4,
inference(resolve,[$cnf( $equal(op(e1,e2),op(e2,e2)) )],[refute_16_9,refute_16_1]) ).
cnf(refute_16_11,plain,
( op(e1,e2) = e0
| op(e1,e2) = e1
| op(e1,e2) = e2
| op(e1,e2) = e3 ),
inference(resolve,[$cnf( $equal(op(e1,e2),e4) )],[refute_16_0,refute_16_10]) ).
cnf(refute_16_12,plain,
op(e1,e2) != op(e3,e2),
inference(canonicalize,[],[normalize_16_6]) ).
cnf(refute_16_13,plain,
op(e0,e2) != op(e3,e2),
inference(canonicalize,[],[normalize_16_7]) ).
cnf(refute_16_14,plain,
( op(e3,e2) = e0
| op(e3,e2) = e1
| op(e3,e2) = e2
| op(e3,e2) = e3
| op(e3,e2) = e4 ),
inference(canonicalize,[],[normalize_16_8]) ).
cnf(refute_16_15,plain,
op(e2,e2) != op(e3,e2),
inference(canonicalize,[],[normalize_16_9]) ).
cnf(refute_16_16,plain,
( e4 != op(e3,e2)
| op(e2,e2) != e4
| op(e2,e2) = op(e3,e2) ),
introduced(tautology,[equality,[$cnf( $equal(op(e2,e2),e4) ),[1],$fot(op(e3,e2))]]) ).
cnf(refute_16_17,plain,
( e4 != op(e3,e2)
| op(e2,e2) = op(e3,e2) ),
inference(resolve,[$cnf( $equal(op(e2,e2),e4) )],[refute_16_7,refute_16_16]) ).
cnf(refute_16_18,plain,
e4 != op(e3,e2),
inference(resolve,[$cnf( $equal(op(e2,e2),op(e3,e2)) )],[refute_16_17,refute_16_15]) ).
cnf(refute_16_19,plain,
( op(e3,e2) != e4
| e4 = op(e3,e2) ),
inference(subst,[],[refute_16_5:[bind(X,$fot(op(e3,e2))),bind(Y,$fot(e4))]]) ).
cnf(refute_16_20,plain,
op(e3,e2) != e4,
inference(resolve,[$cnf( $equal(e4,op(e3,e2)) )],[refute_16_19,refute_16_18]) ).
cnf(refute_16_21,plain,
( op(e3,e2) = e0
| op(e3,e2) = e1
| op(e3,e2) = e2
| op(e3,e2) = e3 ),
inference(resolve,[$cnf( $equal(op(e3,e2),e4) )],[refute_16_14,refute_16_20]) ).
cnf(refute_16_22,plain,
op(e3,e2) != op(e3,e4),
inference(canonicalize,[],[normalize_16_10]) ).
cnf(refute_16_23,plain,
e1 = op(op(e2,op(e2,e2)),op(e2,e2)),
inference(canonicalize,[],[normalize_16_11]) ).
cnf(refute_16_24,plain,
op(e3,op(e2,e2)) = op(e3,op(e2,e2)),
introduced(tautology,[refl,[$fot(op(e3,op(e2,e2)))]]) ).
cnf(refute_16_25,plain,
( op(e2,e2) != e4
| op(e3,op(e2,e2)) != op(e3,op(e2,e2))
| op(e3,op(e2,e2)) = op(e3,e4) ),
introduced(tautology,[equality,[$cnf( $equal(op(e3,op(e2,e2)),op(e3,op(e2,e2))) ),[1,1],$fot(e4)]]) ).
cnf(refute_16_26,plain,
( op(e2,e2) != e4
| op(e3,op(e2,e2)) = op(e3,e4) ),
inference(resolve,[$cnf( $equal(op(e3,op(e2,e2)),op(e3,op(e2,e2))) )],[refute_16_24,refute_16_25]) ).
cnf(refute_16_27,plain,
op(e3,op(e2,e2)) = op(e3,e4),
inference(resolve,[$cnf( $equal(op(e2,e2),e4) )],[refute_16_7,refute_16_26]) ).
cnf(refute_16_28,plain,
e3 = op(e2,op(e2,e2)),
inference(canonicalize,[],[normalize_16_12]) ).
cnf(refute_16_29,plain,
( e3 != op(e2,op(e2,e2))
| op(e2,op(e2,e2)) = e3 ),
inference(subst,[],[refute_16_5:[bind(X,$fot(e3)),bind(Y,$fot(op(e2,op(e2,e2))))]]) ).
cnf(refute_16_30,plain,
op(e2,op(e2,e2)) = e3,
inference(resolve,[$cnf( $equal(e3,op(e2,op(e2,e2))) )],[refute_16_28,refute_16_29]) ).
cnf(refute_16_31,plain,
op(op(e2,op(e2,e2)),op(e2,e2)) = op(op(e2,op(e2,e2)),op(e2,e2)),
introduced(tautology,[refl,[$fot(op(op(e2,op(e2,e2)),op(e2,e2)))]]) ).
cnf(refute_16_32,plain,
( op(e2,op(e2,e2)) != e3
| op(op(e2,op(e2,e2)),op(e2,e2)) != op(op(e2,op(e2,e2)),op(e2,e2))
| op(op(e2,op(e2,e2)),op(e2,e2)) = op(e3,op(e2,e2)) ),
introduced(tautology,[equality,[$cnf( $equal(op(op(e2,op(e2,e2)),op(e2,e2)),op(op(e2,op(e2,e2)),op(e2,e2))) ),[1,0],$fot(e3)]]) ).
cnf(refute_16_33,plain,
( op(e2,op(e2,e2)) != e3
| op(op(e2,op(e2,e2)),op(e2,e2)) = op(e3,op(e2,e2)) ),
inference(resolve,[$cnf( $equal(op(op(e2,op(e2,e2)),op(e2,e2)),op(op(e2,op(e2,e2)),op(e2,e2))) )],[refute_16_31,refute_16_32]) ).
cnf(refute_16_34,plain,
op(op(e2,op(e2,e2)),op(e2,e2)) = op(e3,op(e2,e2)),
inference(resolve,[$cnf( $equal(op(e2,op(e2,e2)),e3) )],[refute_16_30,refute_16_33]) ).
cnf(refute_16_35,plain,
( Y != X
| Y != Z
| X = Z ),
introduced(tautology,[equality,[$cnf( $equal(Y,Z) ),[0],$fot(X)]]) ).
cnf(refute_16_36,plain,
( X != Y
| Y != Z
| X = Z ),
inference(resolve,[$cnf( $equal(Y,X) )],[refute_16_5,refute_16_35]) ).
cnf(refute_16_37,plain,
( op(e3,op(e2,e2)) != op(e3,e4)
| op(op(e2,op(e2,e2)),op(e2,e2)) != op(e3,op(e2,e2))
| op(op(e2,op(e2,e2)),op(e2,e2)) = op(e3,e4) ),
inference(subst,[],[refute_16_36:[bind(X,$fot(op(op(e2,op(e2,e2)),op(e2,e2)))),bind(Y,$fot(op(e3,op(e2,e2)))),bind(Z,$fot(op(e3,e4)))]]) ).
cnf(refute_16_38,plain,
( op(e3,op(e2,e2)) != op(e3,e4)
| op(op(e2,op(e2,e2)),op(e2,e2)) = op(e3,e4) ),
inference(resolve,[$cnf( $equal(op(op(e2,op(e2,e2)),op(e2,e2)),op(e3,op(e2,e2))) )],[refute_16_34,refute_16_37]) ).
cnf(refute_16_39,plain,
op(op(e2,op(e2,e2)),op(e2,e2)) = op(e3,e4),
inference(resolve,[$cnf( $equal(op(e3,op(e2,e2)),op(e3,e4)) )],[refute_16_27,refute_16_38]) ).
cnf(refute_16_40,plain,
( e1 != op(op(e2,op(e2,e2)),op(e2,e2))
| op(op(e2,op(e2,e2)),op(e2,e2)) != op(e3,e4)
| e1 = op(e3,e4) ),
introduced(tautology,[equality,[$cnf( ~ $equal(e1,op(e3,e4)) ),[0],$fot(op(op(e2,op(e2,e2)),op(e2,e2)))]]) ).
cnf(refute_16_41,plain,
( e1 != op(op(e2,op(e2,e2)),op(e2,e2))
| e1 = op(e3,e4) ),
inference(resolve,[$cnf( $equal(op(op(e2,op(e2,e2)),op(e2,e2)),op(e3,e4)) )],[refute_16_39,refute_16_40]) ).
cnf(refute_16_42,plain,
e1 = op(e3,e4),
inference(resolve,[$cnf( $equal(e1,op(op(e2,op(e2,e2)),op(e2,e2))) )],[refute_16_23,refute_16_41]) ).
cnf(refute_16_43,plain,
( e1 != op(e3,e4)
| op(e3,e4) = e1 ),
inference(subst,[],[refute_16_5:[bind(X,$fot(e1)),bind(Y,$fot(op(e3,e4)))]]) ).
cnf(refute_16_44,plain,
op(e3,e4) = e1,
inference(resolve,[$cnf( $equal(e1,op(e3,e4)) )],[refute_16_42,refute_16_43]) ).
cnf(refute_16_45,plain,
( op(e3,e2) != e1
| op(e3,e4) != e1
| op(e3,e2) = op(e3,e4) ),
introduced(tautology,[equality,[$cnf( ~ $equal(op(e3,e2),op(e3,e4)) ),[1],$fot(e1)]]) ).
cnf(refute_16_46,plain,
( op(e3,e2) != e1
| op(e3,e2) = op(e3,e4) ),
inference(resolve,[$cnf( $equal(op(e3,e4),e1) )],[refute_16_44,refute_16_45]) ).
cnf(refute_16_47,plain,
op(e3,e2) != e1,
inference(resolve,[$cnf( $equal(op(e3,e2),op(e3,e4)) )],[refute_16_46,refute_16_22]) ).
cnf(refute_16_48,plain,
( op(e3,e2) = e0
| op(e3,e2) = e2
| op(e3,e2) = e3 ),
inference(resolve,[$cnf( $equal(op(e3,e2),e1) )],[refute_16_21,refute_16_47]) ).
cnf(refute_16_49,plain,
( op(e0,e2) != e2
| op(e3,e2) != e2
| op(e0,e2) = op(e3,e2) ),
introduced(tautology,[equality,[$cnf( ~ $equal(op(e0,e2),op(e3,e2)) ),[1],$fot(e2)]]) ).
cnf(refute_16_50,plain,
( op(e0,e2) != e2
| op(e0,e2) = op(e3,e2)
| op(e3,e2) = e0
| op(e3,e2) = e3 ),
inference(resolve,[$cnf( $equal(op(e3,e2),e2) )],[refute_16_48,refute_16_49]) ).
cnf(refute_16_51,plain,
( op(e0,e2) != e2
| op(e3,e2) = e0
| op(e3,e2) = e3 ),
inference(resolve,[$cnf( $equal(op(e0,e2),op(e3,e2)) )],[refute_16_50,refute_16_13]) ).
cnf(refute_16_52,plain,
op(unit,e2) = e2,
inference(canonicalize,[],[normalize_16_14]) ).
cnf(refute_16_53,plain,
op(e1,e3) != op(e3,e1),
inference(canonicalize,[],[normalize_16_16]) ).
cnf(refute_16_54,plain,
op(unit,e3) = e3,
inference(canonicalize,[],[normalize_16_17]) ).
cnf(refute_16_55,plain,
op(unit,e4) = e4,
inference(canonicalize,[],[normalize_16_18]) ).
cnf(refute_16_56,plain,
( unit = e0
| unit = e1
| unit = e2
| unit = e3
| unit = e4 ),
inference(canonicalize,[],[normalize_16_19]) ).
cnf(refute_16_57,plain,
( op(unit,e4) != e4
| unit != e2
| op(e2,e4) = e4 ),
introduced(tautology,[equality,[$cnf( $equal(op(unit,e4),e4) ),[0,0],$fot(e2)]]) ).
cnf(refute_16_58,plain,
( op(unit,e4) != e4
| op(e2,e4) = e4
| unit = e0
| unit = e1
| unit = e3
| unit = e4 ),
inference(resolve,[$cnf( $equal(unit,e2) )],[refute_16_56,refute_16_57]) ).
cnf(refute_16_59,plain,
( op(e2,e4) = e4
| unit = e0
| unit = e1
| unit = e3
| unit = e4 ),
inference(resolve,[$cnf( $equal(op(unit,e4),e4) )],[refute_16_55,refute_16_58]) ).
cnf(refute_16_60,plain,
op(e2,op(e2,e2)) = op(e2,op(e2,e2)),
introduced(tautology,[refl,[$fot(op(e2,op(e2,e2)))]]) ).
cnf(refute_16_61,plain,
( op(e2,e2) != e4
| op(e2,op(e2,e2)) != op(e2,op(e2,e2))
| op(e2,op(e2,e2)) = op(e2,e4) ),
introduced(tautology,[equality,[$cnf( $equal(op(e2,op(e2,e2)),op(e2,op(e2,e2))) ),[1,1],$fot(e4)]]) ).
cnf(refute_16_62,plain,
( op(e2,e2) != e4
| op(e2,op(e2,e2)) = op(e2,e4) ),
inference(resolve,[$cnf( $equal(op(e2,op(e2,e2)),op(e2,op(e2,e2))) )],[refute_16_60,refute_16_61]) ).
cnf(refute_16_63,plain,
op(e2,op(e2,e2)) = op(e2,e4),
inference(resolve,[$cnf( $equal(op(e2,e2),e4) )],[refute_16_7,refute_16_62]) ).
cnf(refute_16_64,plain,
( e3 != op(e2,op(e2,e2))
| op(e2,op(e2,e2)) != op(e2,e4)
| e3 = op(e2,e4) ),
introduced(tautology,[equality,[$cnf( ~ $equal(e3,op(e2,e4)) ),[0],$fot(op(e2,op(e2,e2)))]]) ).
cnf(refute_16_65,plain,
( e3 != op(e2,op(e2,e2))
| e3 = op(e2,e4) ),
inference(resolve,[$cnf( $equal(op(e2,op(e2,e2)),op(e2,e4)) )],[refute_16_63,refute_16_64]) ).
cnf(refute_16_66,plain,
e3 = op(e2,e4),
inference(resolve,[$cnf( $equal(e3,op(e2,op(e2,e2))) )],[refute_16_28,refute_16_65]) ).
cnf(refute_16_67,plain,
( e3 != op(e2,e4)
| op(e2,e4) = e3 ),
inference(subst,[],[refute_16_5:[bind(X,$fot(e3)),bind(Y,$fot(op(e2,e4)))]]) ).
cnf(refute_16_68,plain,
op(e2,e4) = e3,
inference(resolve,[$cnf( $equal(e3,op(e2,e4)) )],[refute_16_66,refute_16_67]) ).
cnf(refute_16_69,plain,
( op(e2,e4) != e3
| op(e2,e4) != e4
| e3 = e4 ),
introduced(tautology,[equality,[$cnf( $equal(op(e2,e4),e4) ),[0],$fot(e3)]]) ).
cnf(refute_16_70,plain,
( op(e2,e4) != e4
| e3 = e4 ),
inference(resolve,[$cnf( $equal(op(e2,e4),e3) )],[refute_16_68,refute_16_69]) ).
cnf(refute_16_71,plain,
( e3 = e4
| unit = e0
| unit = e1
| unit = e3
| unit = e4 ),
inference(resolve,[$cnf( $equal(op(e2,e4),e4) )],[refute_16_59,refute_16_70]) ).
cnf(refute_16_72,plain,
e3 != e4,
inference(canonicalize,[],[normalize_16_21]) ).
cnf(refute_16_73,plain,
( unit = e0
| unit = e1
| unit = e3
| unit = e4 ),
inference(resolve,[$cnf( $equal(e3,e4) )],[refute_16_71,refute_16_72]) ).
cnf(refute_16_74,plain,
( op(unit,e4) != e4
| unit != e3
| op(e3,e4) = e4 ),
introduced(tautology,[equality,[$cnf( $equal(op(unit,e4),e4) ),[0,0],$fot(e3)]]) ).
cnf(refute_16_75,plain,
( op(unit,e4) != e4
| op(e3,e4) = e4
| unit = e0
| unit = e1
| unit = e4 ),
inference(resolve,[$cnf( $equal(unit,e3) )],[refute_16_73,refute_16_74]) ).
cnf(refute_16_76,plain,
( op(e3,e4) = e4
| unit = e0
| unit = e1
| unit = e4 ),
inference(resolve,[$cnf( $equal(op(unit,e4),e4) )],[refute_16_55,refute_16_75]) ).
cnf(refute_16_77,plain,
( op(e3,e4) != e1
| op(e3,e4) != e4
| e1 = e4 ),
introduced(tautology,[equality,[$cnf( $equal(op(e3,e4),e4) ),[0],$fot(e1)]]) ).
cnf(refute_16_78,plain,
( op(e3,e4) != e4
| e1 = e4 ),
inference(resolve,[$cnf( $equal(op(e3,e4),e1) )],[refute_16_44,refute_16_77]) ).
cnf(refute_16_79,plain,
( e1 = e4
| unit = e0
| unit = e1
| unit = e4 ),
inference(resolve,[$cnf( $equal(op(e3,e4),e4) )],[refute_16_76,refute_16_78]) ).
cnf(refute_16_80,plain,
e1 != e4,
inference(canonicalize,[],[normalize_16_22]) ).
cnf(refute_16_81,plain,
( unit = e0
| unit = e1
| unit = e4 ),
inference(resolve,[$cnf( $equal(e1,e4) )],[refute_16_79,refute_16_80]) ).
cnf(refute_16_82,plain,
( op(unit,e4) != e4
| unit != e4
| op(e4,e4) = e4 ),
introduced(tautology,[equality,[$cnf( $equal(op(unit,e4),e4) ),[0,0],$fot(e4)]]) ).
cnf(refute_16_83,plain,
( op(unit,e4) != e4
| op(e4,e4) = e4
| unit = e0
| unit = e1 ),
inference(resolve,[$cnf( $equal(unit,e4) )],[refute_16_81,refute_16_82]) ).
cnf(refute_16_84,plain,
( op(e4,e4) = e4
| unit = e0
| unit = e1 ),
inference(resolve,[$cnf( $equal(op(unit,e4),e4) )],[refute_16_55,refute_16_83]) ).
cnf(refute_16_85,plain,
e0 = op(op(e2,e2),op(e2,e2)),
inference(canonicalize,[],[normalize_16_23]) ).
cnf(refute_16_86,plain,
op(e4,op(e2,e2)) = op(e4,op(e2,e2)),
introduced(tautology,[refl,[$fot(op(e4,op(e2,e2)))]]) ).
cnf(refute_16_87,plain,
( op(e2,e2) != e4
| op(e4,op(e2,e2)) != op(e4,op(e2,e2))
| op(e4,op(e2,e2)) = op(e4,e4) ),
introduced(tautology,[equality,[$cnf( $equal(op(e4,op(e2,e2)),op(e4,op(e2,e2))) ),[1,1],$fot(e4)]]) ).
cnf(refute_16_88,plain,
( op(e2,e2) != e4
| op(e4,op(e2,e2)) = op(e4,e4) ),
inference(resolve,[$cnf( $equal(op(e4,op(e2,e2)),op(e4,op(e2,e2))) )],[refute_16_86,refute_16_87]) ).
cnf(refute_16_89,plain,
op(e4,op(e2,e2)) = op(e4,e4),
inference(resolve,[$cnf( $equal(op(e2,e2),e4) )],[refute_16_7,refute_16_88]) ).
cnf(refute_16_90,plain,
op(op(e2,e2),op(e2,e2)) = op(op(e2,e2),op(e2,e2)),
introduced(tautology,[refl,[$fot(op(op(e2,e2),op(e2,e2)))]]) ).
cnf(refute_16_91,plain,
( op(e2,e2) != e4
| op(op(e2,e2),op(e2,e2)) != op(op(e2,e2),op(e2,e2))
| op(op(e2,e2),op(e2,e2)) = op(e4,op(e2,e2)) ),
introduced(tautology,[equality,[$cnf( $equal(op(op(e2,e2),op(e2,e2)),op(op(e2,e2),op(e2,e2))) ),[1,0],$fot(e4)]]) ).
cnf(refute_16_92,plain,
( op(e2,e2) != e4
| op(op(e2,e2),op(e2,e2)) = op(e4,op(e2,e2)) ),
inference(resolve,[$cnf( $equal(op(op(e2,e2),op(e2,e2)),op(op(e2,e2),op(e2,e2))) )],[refute_16_90,refute_16_91]) ).
cnf(refute_16_93,plain,
op(op(e2,e2),op(e2,e2)) = op(e4,op(e2,e2)),
inference(resolve,[$cnf( $equal(op(e2,e2),e4) )],[refute_16_7,refute_16_92]) ).
cnf(refute_16_94,plain,
( op(e4,op(e2,e2)) != op(e4,e4)
| op(op(e2,e2),op(e2,e2)) != op(e4,op(e2,e2))
| op(op(e2,e2),op(e2,e2)) = op(e4,e4) ),
inference(subst,[],[refute_16_36:[bind(X,$fot(op(op(e2,e2),op(e2,e2)))),bind(Y,$fot(op(e4,op(e2,e2)))),bind(Z,$fot(op(e4,e4)))]]) ).
cnf(refute_16_95,plain,
( op(e4,op(e2,e2)) != op(e4,e4)
| op(op(e2,e2),op(e2,e2)) = op(e4,e4) ),
inference(resolve,[$cnf( $equal(op(op(e2,e2),op(e2,e2)),op(e4,op(e2,e2))) )],[refute_16_93,refute_16_94]) ).
cnf(refute_16_96,plain,
op(op(e2,e2),op(e2,e2)) = op(e4,e4),
inference(resolve,[$cnf( $equal(op(e4,op(e2,e2)),op(e4,e4)) )],[refute_16_89,refute_16_95]) ).
cnf(refute_16_97,plain,
( e0 != op(op(e2,e2),op(e2,e2))
| op(op(e2,e2),op(e2,e2)) != op(e4,e4)
| e0 = op(e4,e4) ),
introduced(tautology,[equality,[$cnf( ~ $equal(e0,op(e4,e4)) ),[0],$fot(op(op(e2,e2),op(e2,e2)))]]) ).
cnf(refute_16_98,plain,
( e0 != op(op(e2,e2),op(e2,e2))
| e0 = op(e4,e4) ),
inference(resolve,[$cnf( $equal(op(op(e2,e2),op(e2,e2)),op(e4,e4)) )],[refute_16_96,refute_16_97]) ).
cnf(refute_16_99,plain,
e0 = op(e4,e4),
inference(resolve,[$cnf( $equal(e0,op(op(e2,e2),op(e2,e2))) )],[refute_16_85,refute_16_98]) ).
cnf(refute_16_100,plain,
( e0 != op(e4,e4)
| op(e4,e4) = e0 ),
inference(subst,[],[refute_16_5:[bind(X,$fot(e0)),bind(Y,$fot(op(e4,e4)))]]) ).
cnf(refute_16_101,plain,
op(e4,e4) = e0,
inference(resolve,[$cnf( $equal(e0,op(e4,e4)) )],[refute_16_99,refute_16_100]) ).
cnf(refute_16_102,plain,
( op(e4,e4) != e0
| op(e4,e4) != e4
| e0 = e4 ),
introduced(tautology,[equality,[$cnf( $equal(op(e4,e4),e4) ),[0],$fot(e0)]]) ).
cnf(refute_16_103,plain,
( op(e4,e4) != e4
| e0 = e4 ),
inference(resolve,[$cnf( $equal(op(e4,e4),e0) )],[refute_16_101,refute_16_102]) ).
cnf(refute_16_104,plain,
( e0 = e4
| unit = e0
| unit = e1 ),
inference(resolve,[$cnf( $equal(op(e4,e4),e4) )],[refute_16_84,refute_16_103]) ).
cnf(refute_16_105,plain,
e0 != e4,
inference(canonicalize,[],[normalize_16_24]) ).
cnf(refute_16_106,plain,
( unit = e0
| unit = e1 ),
inference(resolve,[$cnf( $equal(e0,e4) )],[refute_16_104,refute_16_105]) ).
cnf(refute_16_107,plain,
( op(unit,e3) != e3
| unit != e1
| op(e1,e3) = e3 ),
introduced(tautology,[equality,[$cnf( $equal(op(unit,e3),e3) ),[0,0],$fot(e1)]]) ).
cnf(refute_16_108,plain,
( op(unit,e3) != e3
| op(e1,e3) = e3
| unit = e0 ),
inference(resolve,[$cnf( $equal(unit,e1) )],[refute_16_106,refute_16_107]) ).
cnf(refute_16_109,plain,
( op(e1,e3) = e3
| unit = e0 ),
inference(resolve,[$cnf( $equal(op(unit,e3),e3) )],[refute_16_54,refute_16_108]) ).
cnf(refute_16_110,plain,
( e3 != op(e3,e1)
| op(e1,e3) != e3
| op(e1,e3) = op(e3,e1) ),
introduced(tautology,[equality,[$cnf( $equal(op(e1,e3),e3) ),[1],$fot(op(e3,e1))]]) ).
cnf(refute_16_111,plain,
( e3 != op(e3,e1)
| op(e1,e3) = op(e3,e1)
| unit = e0 ),
inference(resolve,[$cnf( $equal(op(e1,e3),e3) )],[refute_16_109,refute_16_110]) ).
cnf(refute_16_112,plain,
( e3 != op(e3,e1)
| unit = e0 ),
inference(resolve,[$cnf( $equal(op(e1,e3),op(e3,e1)) )],[refute_16_111,refute_16_53]) ).
cnf(refute_16_113,plain,
op(e3,unit) = e3,
inference(canonicalize,[],[normalize_16_25]) ).
cnf(refute_16_114,plain,
( op(e3,unit) != e3
| unit != e1
| op(e3,e1) = e3 ),
introduced(tautology,[equality,[$cnf( $equal(op(e3,unit),e3) ),[0,1],$fot(e1)]]) ).
cnf(refute_16_115,plain,
( op(e3,unit) != e3
| op(e3,e1) = e3
| unit = e0 ),
inference(resolve,[$cnf( $equal(unit,e1) )],[refute_16_106,refute_16_114]) ).
cnf(refute_16_116,plain,
( op(e3,e1) = e3
| unit = e0 ),
inference(resolve,[$cnf( $equal(op(e3,unit),e3) )],[refute_16_113,refute_16_115]) ).
cnf(refute_16_117,plain,
( e3 != e3
| op(e3,e1) != e3
| e3 = op(e3,e1) ),
introduced(tautology,[equality,[$cnf( ~ $equal(e3,op(e3,e1)) ),[1],$fot(e3)]]) ).
cnf(refute_16_118,plain,
( e3 != e3
| e3 = op(e3,e1)
| unit = e0 ),
inference(resolve,[$cnf( $equal(op(e3,e1),e3) )],[refute_16_116,refute_16_117]) ).
cnf(refute_16_119,plain,
( e3 != e3
| unit = e0 ),
inference(resolve,[$cnf( $equal(e3,op(e3,e1)) )],[refute_16_118,refute_16_112]) ).
cnf(refute_16_120,plain,
e3 = e3,
introduced(tautology,[refl,[$fot(e3)]]) ).
cnf(refute_16_121,plain,
unit = e0,
inference(resolve,[$cnf( $equal(e3,e3) )],[refute_16_120,refute_16_119]) ).
cnf(refute_16_122,plain,
op(unit,e2) = op(unit,e2),
introduced(tautology,[refl,[$fot(op(unit,e2))]]) ).
cnf(refute_16_123,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_16_124,plain,
( unit != e0
| op(unit,e2) = op(e0,e2) ),
inference(resolve,[$cnf( $equal(op(unit,e2),op(unit,e2)) )],[refute_16_122,refute_16_123]) ).
cnf(refute_16_125,plain,
op(unit,e2) = op(e0,e2),
inference(resolve,[$cnf( $equal(unit,e0) )],[refute_16_121,refute_16_124]) ).
cnf(refute_16_126,plain,
( op(unit,e2) != e2
| op(unit,e2) != op(e0,e2)
| op(e0,e2) = e2 ),
introduced(tautology,[equality,[$cnf( $equal(op(unit,e2),e2) ),[0],$fot(op(e0,e2))]]) ).
cnf(refute_16_127,plain,
( op(unit,e2) != e2
| op(e0,e2) = e2 ),
inference(resolve,[$cnf( $equal(op(unit,e2),op(e0,e2)) )],[refute_16_125,refute_16_126]) ).
cnf(refute_16_128,plain,
op(e0,e2) = e2,
inference(resolve,[$cnf( $equal(op(unit,e2),e2) )],[refute_16_52,refute_16_127]) ).
cnf(refute_16_129,plain,
( e2 != e2
| op(e0,e2) != e2
| op(e0,e2) = e2 ),
introduced(tautology,[equality,[$cnf( $equal(op(e0,e2),e2) ),[0,1],$fot(e2)]]) ).
cnf(refute_16_130,plain,
( e2 != e2
| op(e0,e2) = e2 ),
inference(resolve,[$cnf( $equal(op(e0,e2),e2) )],[refute_16_128,refute_16_129]) ).
cnf(refute_16_131,plain,
( e2 != e2
| op(e3,e2) = e0
| op(e3,e2) = e3 ),
inference(resolve,[$cnf( $equal(op(e0,e2),e2) )],[refute_16_130,refute_16_51]) ).
cnf(refute_16_132,plain,
e2 = e2,
introduced(tautology,[refl,[$fot(e2)]]) ).
cnf(refute_16_133,plain,
( op(e3,e2) = e0
| op(e3,e2) = e3 ),
inference(resolve,[$cnf( $equal(e2,e2) )],[refute_16_132,refute_16_131]) ).
cnf(refute_16_134,plain,
op(e3,e0) != op(e3,e2),
inference(canonicalize,[],[normalize_16_26]) ).
cnf(refute_16_135,plain,
op(e3,unit) = op(e3,unit),
introduced(tautology,[refl,[$fot(op(e3,unit))]]) ).
cnf(refute_16_136,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_16_137,plain,
( unit != e0
| op(e3,unit) = op(e3,e0) ),
inference(resolve,[$cnf( $equal(op(e3,unit),op(e3,unit)) )],[refute_16_135,refute_16_136]) ).
cnf(refute_16_138,plain,
op(e3,unit) = op(e3,e0),
inference(resolve,[$cnf( $equal(unit,e0) )],[refute_16_121,refute_16_137]) ).
cnf(refute_16_139,plain,
( op(e3,unit) != e3
| op(e3,unit) != op(e3,e0)
| op(e3,e0) = e3 ),
introduced(tautology,[equality,[$cnf( $equal(op(e3,unit),e3) ),[0],$fot(op(e3,e0))]]) ).
cnf(refute_16_140,plain,
( op(e3,unit) != e3
| op(e3,e0) = e3 ),
inference(resolve,[$cnf( $equal(op(e3,unit),op(e3,e0)) )],[refute_16_138,refute_16_139]) ).
cnf(refute_16_141,plain,
op(e3,e0) = e3,
inference(resolve,[$cnf( $equal(op(e3,unit),e3) )],[refute_16_113,refute_16_140]) ).
cnf(refute_16_142,plain,
( e3 != op(e3,e2)
| op(e3,e0) != e3
| op(e3,e0) = op(e3,e2) ),
introduced(tautology,[equality,[$cnf( $equal(op(e3,e0),e3) ),[1],$fot(op(e3,e2))]]) ).
cnf(refute_16_143,plain,
( e3 != op(e3,e2)
| op(e3,e0) = op(e3,e2) ),
inference(resolve,[$cnf( $equal(op(e3,e0),e3) )],[refute_16_141,refute_16_142]) ).
cnf(refute_16_144,plain,
e3 != op(e3,e2),
inference(resolve,[$cnf( $equal(op(e3,e0),op(e3,e2)) )],[refute_16_143,refute_16_134]) ).
cnf(refute_16_145,plain,
( op(e3,e2) != e3
| e3 = op(e3,e2) ),
inference(subst,[],[refute_16_5:[bind(X,$fot(op(e3,e2))),bind(Y,$fot(e3))]]) ).
cnf(refute_16_146,plain,
op(e3,e2) != e3,
inference(resolve,[$cnf( $equal(e3,op(e3,e2)) )],[refute_16_145,refute_16_144]) ).
cnf(refute_16_147,plain,
op(e3,e2) = e0,
inference(resolve,[$cnf( $equal(op(e3,e2),e3) )],[refute_16_133,refute_16_146]) ).
cnf(refute_16_148,plain,
( op(e1,e2) != e0
| op(e3,e2) != e0
| op(e1,e2) = op(e3,e2) ),
introduced(tautology,[equality,[$cnf( ~ $equal(op(e1,e2),op(e3,e2)) ),[1],$fot(e0)]]) ).
cnf(refute_16_149,plain,
( op(e1,e2) != e0
| op(e1,e2) = op(e3,e2) ),
inference(resolve,[$cnf( $equal(op(e3,e2),e0) )],[refute_16_147,refute_16_148]) ).
cnf(refute_16_150,plain,
op(e1,e2) != e0,
inference(resolve,[$cnf( $equal(op(e1,e2),op(e3,e2)) )],[refute_16_149,refute_16_12]) ).
cnf(refute_16_151,plain,
( op(e1,e2) = e1
| op(e1,e2) = e2
| op(e1,e2) = e3 ),
inference(resolve,[$cnf( $equal(op(e1,e2),e0) )],[refute_16_11,refute_16_150]) ).
cnf(refute_16_152,plain,
op(e1,e0) != op(e1,e2),
inference(canonicalize,[],[normalize_16_27]) ).
cnf(refute_16_153,plain,
op(e1,unit) = e1,
inference(canonicalize,[],[normalize_16_28]) ).
cnf(refute_16_154,plain,
op(e1,unit) = op(e1,unit),
introduced(tautology,[refl,[$fot(op(e1,unit))]]) ).
cnf(refute_16_155,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_16_156,plain,
( unit != e0
| op(e1,unit) = op(e1,e0) ),
inference(resolve,[$cnf( $equal(op(e1,unit),op(e1,unit)) )],[refute_16_154,refute_16_155]) ).
cnf(refute_16_157,plain,
op(e1,unit) = op(e1,e0),
inference(resolve,[$cnf( $equal(unit,e0) )],[refute_16_121,refute_16_156]) ).
cnf(refute_16_158,plain,
( op(e1,unit) != e1
| op(e1,unit) != op(e1,e0)
| op(e1,e0) = e1 ),
introduced(tautology,[equality,[$cnf( $equal(op(e1,unit),e1) ),[0],$fot(op(e1,e0))]]) ).
cnf(refute_16_159,plain,
( op(e1,unit) != e1
| op(e1,e0) = e1 ),
inference(resolve,[$cnf( $equal(op(e1,unit),op(e1,e0)) )],[refute_16_157,refute_16_158]) ).
cnf(refute_16_160,plain,
op(e1,e0) = e1,
inference(resolve,[$cnf( $equal(op(e1,unit),e1) )],[refute_16_153,refute_16_159]) ).
cnf(refute_16_161,plain,
( e1 != op(e1,e2)
| op(e1,e0) != e1
| op(e1,e0) = op(e1,e2) ),
introduced(tautology,[equality,[$cnf( $equal(op(e1,e0),e1) ),[1],$fot(op(e1,e2))]]) ).
cnf(refute_16_162,plain,
( e1 != op(e1,e2)
| op(e1,e0) = op(e1,e2) ),
inference(resolve,[$cnf( $equal(op(e1,e0),e1) )],[refute_16_160,refute_16_161]) ).
cnf(refute_16_163,plain,
e1 != op(e1,e2),
inference(resolve,[$cnf( $equal(op(e1,e0),op(e1,e2)) )],[refute_16_162,refute_16_152]) ).
cnf(refute_16_164,plain,
( op(e1,e2) != e1
| e1 = op(e1,e2) ),
inference(subst,[],[refute_16_5:[bind(X,$fot(op(e1,e2))),bind(Y,$fot(e1))]]) ).
cnf(refute_16_165,plain,
op(e1,e2) != e1,
inference(resolve,[$cnf( $equal(e1,op(e1,e2)) )],[refute_16_164,refute_16_163]) ).
cnf(refute_16_166,plain,
( op(e1,e2) = e2
| op(e1,e2) = e3 ),
inference(resolve,[$cnf( $equal(op(e1,e2),e1) )],[refute_16_151,refute_16_165]) ).
cnf(refute_16_167,plain,
op(e1,e2) != op(e1,e4),
inference(canonicalize,[],[normalize_16_29]) ).
cnf(refute_16_168,plain,
( op(e0,e4) = e2
| op(e1,e4) = e2
| op(e2,e4) = e2
| op(e3,e4) = e2
| op(e4,e4) = e2 ),
inference(canonicalize,[],[normalize_16_31]) ).
cnf(refute_16_169,plain,
( op(e2,e4) != e2
| op(e2,e4) != e3
| e3 = e2 ),
introduced(tautology,[equality,[$cnf( $equal(op(e2,e4),e2) ),[0],$fot(e3)]]) ).
cnf(refute_16_170,plain,
( op(e2,e4) != e2
| e3 = e2 ),
inference(resolve,[$cnf( $equal(op(e2,e4),e3) )],[refute_16_68,refute_16_169]) ).
cnf(refute_16_171,plain,
( e3 = e2
| op(e0,e4) = e2
| op(e1,e4) = e2
| op(e3,e4) = e2
| op(e4,e4) = e2 ),
inference(resolve,[$cnf( $equal(op(e2,e4),e2) )],[refute_16_168,refute_16_170]) ).
cnf(refute_16_172,plain,
( op(e3,e4) != e1
| op(e3,e4) != e2
| e1 = e2 ),
introduced(tautology,[equality,[$cnf( $equal(op(e3,e4),e2) ),[0],$fot(e1)]]) ).
cnf(refute_16_173,plain,
( op(e3,e4) != e2
| e1 = e2 ),
inference(resolve,[$cnf( $equal(op(e3,e4),e1) )],[refute_16_44,refute_16_172]) ).
cnf(refute_16_174,plain,
( e1 = e2
| e3 = e2
| op(e0,e4) = e2
| op(e1,e4) = e2
| op(e4,e4) = e2 ),
inference(resolve,[$cnf( $equal(op(e3,e4),e2) )],[refute_16_171,refute_16_173]) ).
cnf(refute_16_175,plain,
( op(e4,e4) != e0
| op(e4,e4) != e2
| e0 = e2 ),
introduced(tautology,[equality,[$cnf( $equal(op(e4,e4),e2) ),[0],$fot(e0)]]) ).
cnf(refute_16_176,plain,
( op(e4,e4) != e2
| e0 = e2 ),
inference(resolve,[$cnf( $equal(op(e4,e4),e0) )],[refute_16_101,refute_16_175]) ).
cnf(refute_16_177,plain,
( e0 = e2
| e1 = e2
| e3 = e2
| op(e0,e4) = e2
| op(e1,e4) = e2 ),
inference(resolve,[$cnf( $equal(op(e4,e4),e2) )],[refute_16_174,refute_16_176]) ).
cnf(refute_16_178,plain,
e0 != e2,
inference(canonicalize,[],[normalize_16_32]) ).
cnf(refute_16_179,plain,
( e1 = e2
| e3 = e2
| op(e0,e4) = e2
| op(e1,e4) = e2 ),
inference(resolve,[$cnf( $equal(e0,e2) )],[refute_16_177,refute_16_178]) ).
cnf(refute_16_180,plain,
e1 != e2,
inference(canonicalize,[],[normalize_16_33]) ).
cnf(refute_16_181,plain,
( e3 = e2
| op(e0,e4) = e2
| op(e1,e4) = e2 ),
inference(resolve,[$cnf( $equal(e1,e2) )],[refute_16_179,refute_16_180]) ).
cnf(refute_16_182,plain,
e2 != e3,
inference(canonicalize,[],[normalize_16_34]) ).
cnf(refute_16_183,plain,
( e3 != e2
| e2 = e3 ),
inference(subst,[],[refute_16_5:[bind(X,$fot(e3)),bind(Y,$fot(e2))]]) ).
cnf(refute_16_184,plain,
e3 != e2,
inference(resolve,[$cnf( $equal(e2,e3) )],[refute_16_183,refute_16_182]) ).
cnf(refute_16_185,plain,
( op(e0,e4) = e2
| op(e1,e4) = e2 ),
inference(resolve,[$cnf( $equal(e3,e2) )],[refute_16_181,refute_16_184]) ).
cnf(refute_16_186,plain,
op(unit,e4) = op(unit,e4),
introduced(tautology,[refl,[$fot(op(unit,e4))]]) ).
cnf(refute_16_187,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_16_188,plain,
( unit != e0
| op(unit,e4) = op(e0,e4) ),
inference(resolve,[$cnf( $equal(op(unit,e4),op(unit,e4)) )],[refute_16_186,refute_16_187]) ).
cnf(refute_16_189,plain,
op(unit,e4) = op(e0,e4),
inference(resolve,[$cnf( $equal(unit,e0) )],[refute_16_121,refute_16_188]) ).
cnf(refute_16_190,plain,
( op(unit,e4) != e4
| op(unit,e4) != op(e0,e4)
| op(e0,e4) = e4 ),
introduced(tautology,[equality,[$cnf( $equal(op(unit,e4),e4) ),[0],$fot(op(e0,e4))]]) ).
cnf(refute_16_191,plain,
( op(unit,e4) != e4
| op(e0,e4) = e4 ),
inference(resolve,[$cnf( $equal(op(unit,e4),op(e0,e4)) )],[refute_16_189,refute_16_190]) ).
cnf(refute_16_192,plain,
op(e0,e4) = e4,
inference(resolve,[$cnf( $equal(op(unit,e4),e4) )],[refute_16_55,refute_16_191]) ).
cnf(refute_16_193,plain,
( op(e0,e4) != e2
| op(e0,e4) != e4
| e4 = e2 ),
introduced(tautology,[equality,[$cnf( $equal(op(e0,e4),e2) ),[0],$fot(e4)]]) ).
cnf(refute_16_194,plain,
( op(e0,e4) != e2
| e4 = e2 ),
inference(resolve,[$cnf( $equal(op(e0,e4),e4) )],[refute_16_192,refute_16_193]) ).
cnf(refute_16_195,plain,
( e4 = e2
| op(e1,e4) = e2 ),
inference(resolve,[$cnf( $equal(op(e0,e4),e2) )],[refute_16_185,refute_16_194]) ).
cnf(refute_16_196,plain,
e2 != e4,
inference(canonicalize,[],[normalize_16_35]) ).
cnf(refute_16_197,plain,
( e4 != e2
| e2 = e4 ),
inference(subst,[],[refute_16_5:[bind(X,$fot(e4)),bind(Y,$fot(e2))]]) ).
cnf(refute_16_198,plain,
e4 != e2,
inference(resolve,[$cnf( $equal(e2,e4) )],[refute_16_197,refute_16_196]) ).
cnf(refute_16_199,plain,
op(e1,e4) = e2,
inference(resolve,[$cnf( $equal(e4,e2) )],[refute_16_195,refute_16_198]) ).
cnf(refute_16_200,plain,
( op(e1,e2) != e2
| op(e1,e4) != e2
| op(e1,e2) = op(e1,e4) ),
introduced(tautology,[equality,[$cnf( ~ $equal(op(e1,e2),op(e1,e4)) ),[1],$fot(e2)]]) ).
cnf(refute_16_201,plain,
( op(e1,e2) != e2
| op(e1,e2) = op(e1,e4) ),
inference(resolve,[$cnf( $equal(op(e1,e4),e2) )],[refute_16_199,refute_16_200]) ).
cnf(refute_16_202,plain,
op(e1,e2) != e2,
inference(resolve,[$cnf( $equal(op(e1,e2),op(e1,e4)) )],[refute_16_201,refute_16_167]) ).
cnf(refute_16_203,plain,
op(e1,e2) = e3,
inference(resolve,[$cnf( $equal(op(e1,e2),e2) )],[refute_16_166,refute_16_202]) ).
cnf(refute_16_204,plain,
op(op(e3,e1),e1) = e3,
inference(canonicalize,[],[normalize_16_36]) ).
cnf(refute_16_205,plain,
op(e0,e1) != op(e2,e1),
inference(canonicalize,[],[normalize_16_37]) ).
cnf(refute_16_206,plain,
( op(e2,e1) = e0
| op(e2,e1) = e1
| op(e2,e1) = e2
| op(e2,e1) = e3
| op(e2,e1) = e4 ),
inference(canonicalize,[],[normalize_16_38]) ).
cnf(refute_16_207,plain,
op(e2,e1) != op(e2,e2),
inference(canonicalize,[],[normalize_16_39]) ).
cnf(refute_16_208,plain,
( op(e2,e1) != e4
| op(e2,e2) != e4
| op(e2,e1) = op(e2,e2) ),
introduced(tautology,[equality,[$cnf( ~ $equal(op(e2,e1),op(e2,e2)) ),[1],$fot(e4)]]) ).
cnf(refute_16_209,plain,
( op(e2,e1) != e4
| op(e2,e1) = op(e2,e2) ),
inference(resolve,[$cnf( $equal(op(e2,e2),e4) )],[refute_16_7,refute_16_208]) ).
cnf(refute_16_210,plain,
op(e2,e1) != e4,
inference(resolve,[$cnf( $equal(op(e2,e1),op(e2,e2)) )],[refute_16_209,refute_16_207]) ).
cnf(refute_16_211,plain,
( op(e2,e1) = e0
| op(e2,e1) = e1
| op(e2,e1) = e2
| op(e2,e1) = e3 ),
inference(resolve,[$cnf( $equal(op(e2,e1),e4) )],[refute_16_206,refute_16_210]) ).
cnf(refute_16_212,plain,
op(e2,e1) != op(e2,e4),
inference(canonicalize,[],[normalize_16_40]) ).
cnf(refute_16_213,plain,
( op(e2,e1) != e3
| op(e2,e4) != e3
| op(e2,e1) = op(e2,e4) ),
introduced(tautology,[equality,[$cnf( ~ $equal(op(e2,e1),op(e2,e4)) ),[1],$fot(e3)]]) ).
cnf(refute_16_214,plain,
( op(e2,e1) != e3
| op(e2,e1) = op(e2,e4) ),
inference(resolve,[$cnf( $equal(op(e2,e4),e3) )],[refute_16_68,refute_16_213]) ).
cnf(refute_16_215,plain,
op(e2,e1) != e3,
inference(resolve,[$cnf( $equal(op(e2,e1),op(e2,e4)) )],[refute_16_214,refute_16_212]) ).
cnf(refute_16_216,plain,
( op(e2,e1) = e0
| op(e2,e1) = e1
| op(e2,e1) = e2 ),
inference(resolve,[$cnf( $equal(op(e2,e1),e3) )],[refute_16_211,refute_16_215]) ).
cnf(refute_16_217,plain,
( op(e0,e1) != e1
| op(e2,e1) != e1
| op(e0,e1) = op(e2,e1) ),
introduced(tautology,[equality,[$cnf( ~ $equal(op(e0,e1),op(e2,e1)) ),[1],$fot(e1)]]) ).
cnf(refute_16_218,plain,
( op(e0,e1) != e1
| op(e0,e1) = op(e2,e1)
| op(e2,e1) = e0
| op(e2,e1) = e2 ),
inference(resolve,[$cnf( $equal(op(e2,e1),e1) )],[refute_16_216,refute_16_217]) ).
cnf(refute_16_219,plain,
( op(e0,e1) != e1
| op(e2,e1) = e0
| op(e2,e1) = e2 ),
inference(resolve,[$cnf( $equal(op(e0,e1),op(e2,e1)) )],[refute_16_218,refute_16_205]) ).
cnf(refute_16_220,plain,
op(unit,e1) = e1,
inference(canonicalize,[],[normalize_16_41]) ).
cnf(refute_16_221,plain,
op(unit,e1) = op(unit,e1),
introduced(tautology,[refl,[$fot(op(unit,e1))]]) ).
cnf(refute_16_222,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_16_223,plain,
( unit != e0
| op(unit,e1) = op(e0,e1) ),
inference(resolve,[$cnf( $equal(op(unit,e1),op(unit,e1)) )],[refute_16_221,refute_16_222]) ).
cnf(refute_16_224,plain,
op(unit,e1) = op(e0,e1),
inference(resolve,[$cnf( $equal(unit,e0) )],[refute_16_121,refute_16_223]) ).
cnf(refute_16_225,plain,
( op(unit,e1) != e1
| op(unit,e1) != op(e0,e1)
| op(e0,e1) = e1 ),
introduced(tautology,[equality,[$cnf( $equal(op(unit,e1),e1) ),[0],$fot(op(e0,e1))]]) ).
cnf(refute_16_226,plain,
( op(unit,e1) != e1
| op(e0,e1) = e1 ),
inference(resolve,[$cnf( $equal(op(unit,e1),op(e0,e1)) )],[refute_16_224,refute_16_225]) ).
cnf(refute_16_227,plain,
op(e0,e1) = e1,
inference(resolve,[$cnf( $equal(op(unit,e1),e1) )],[refute_16_220,refute_16_226]) ).
cnf(refute_16_228,plain,
( e1 != e1
| op(e0,e1) != e1
| op(e0,e1) = e1 ),
introduced(tautology,[equality,[$cnf( $equal(op(e0,e1),e1) ),[0,1],$fot(e1)]]) ).
cnf(refute_16_229,plain,
( e1 != e1
| op(e0,e1) = e1 ),
inference(resolve,[$cnf( $equal(op(e0,e1),e1) )],[refute_16_227,refute_16_228]) ).
cnf(refute_16_230,plain,
( e1 != e1
| op(e2,e1) = e0
| op(e2,e1) = e2 ),
inference(resolve,[$cnf( $equal(op(e0,e1),e1) )],[refute_16_229,refute_16_219]) ).
cnf(refute_16_231,plain,
e1 = e1,
introduced(tautology,[refl,[$fot(e1)]]) ).
cnf(refute_16_232,plain,
( op(e2,e1) = e0
| op(e2,e1) = e2 ),
inference(resolve,[$cnf( $equal(e1,e1) )],[refute_16_231,refute_16_230]) ).
cnf(refute_16_233,plain,
op(e2,e0) != op(e2,e1),
inference(canonicalize,[],[normalize_16_42]) ).
cnf(refute_16_234,plain,
op(e2,unit) = e2,
inference(canonicalize,[],[normalize_16_43]) ).
cnf(refute_16_235,plain,
op(e2,unit) = op(e2,unit),
introduced(tautology,[refl,[$fot(op(e2,unit))]]) ).
cnf(refute_16_236,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_16_237,plain,
( unit != e0
| op(e2,unit) = op(e2,e0) ),
inference(resolve,[$cnf( $equal(op(e2,unit),op(e2,unit)) )],[refute_16_235,refute_16_236]) ).
cnf(refute_16_238,plain,
op(e2,unit) = op(e2,e0),
inference(resolve,[$cnf( $equal(unit,e0) )],[refute_16_121,refute_16_237]) ).
cnf(refute_16_239,plain,
( op(e2,unit) != e2
| op(e2,unit) != op(e2,e0)
| op(e2,e0) = e2 ),
introduced(tautology,[equality,[$cnf( $equal(op(e2,unit),e2) ),[0],$fot(op(e2,e0))]]) ).
cnf(refute_16_240,plain,
( op(e2,unit) != e2
| op(e2,e0) = e2 ),
inference(resolve,[$cnf( $equal(op(e2,unit),op(e2,e0)) )],[refute_16_238,refute_16_239]) ).
cnf(refute_16_241,plain,
op(e2,e0) = e2,
inference(resolve,[$cnf( $equal(op(e2,unit),e2) )],[refute_16_234,refute_16_240]) ).
cnf(refute_16_242,plain,
( e2 != op(e2,e1)
| op(e2,e0) != e2
| op(e2,e0) = op(e2,e1) ),
introduced(tautology,[equality,[$cnf( $equal(op(e2,e0),e2) ),[1],$fot(op(e2,e1))]]) ).
cnf(refute_16_243,plain,
( e2 != op(e2,e1)
| op(e2,e0) = op(e2,e1) ),
inference(resolve,[$cnf( $equal(op(e2,e0),e2) )],[refute_16_241,refute_16_242]) ).
cnf(refute_16_244,plain,
e2 != op(e2,e1),
inference(resolve,[$cnf( $equal(op(e2,e0),op(e2,e1)) )],[refute_16_243,refute_16_233]) ).
cnf(refute_16_245,plain,
( op(e2,e1) != e2
| e2 = op(e2,e1) ),
inference(subst,[],[refute_16_5:[bind(X,$fot(op(e2,e1))),bind(Y,$fot(e2))]]) ).
cnf(refute_16_246,plain,
op(e2,e1) != e2,
inference(resolve,[$cnf( $equal(e2,op(e2,e1)) )],[refute_16_245,refute_16_244]) ).
cnf(refute_16_247,plain,
op(e2,e1) = e0,
inference(resolve,[$cnf( $equal(op(e2,e1),e2) )],[refute_16_232,refute_16_246]) ).
cnf(refute_16_248,plain,
( op(e3,e1) = e0
| op(e3,e1) = e1
| op(e3,e1) = e2
| op(e3,e1) = e3
| op(e3,e1) = e4 ),
inference(canonicalize,[],[normalize_16_44]) ).
cnf(refute_16_249,plain,
op(e2,e1) != op(e3,e1),
inference(canonicalize,[],[normalize_16_45]) ).
cnf(refute_16_250,plain,
( e0 != op(e3,e1)
| op(e2,e1) != e0
| op(e2,e1) = op(e3,e1) ),
introduced(tautology,[equality,[$cnf( $equal(op(e2,e1),e0) ),[1],$fot(op(e3,e1))]]) ).
cnf(refute_16_251,plain,
( e0 != op(e3,e1)
| op(e2,e1) = op(e3,e1) ),
inference(resolve,[$cnf( $equal(op(e2,e1),e0) )],[refute_16_247,refute_16_250]) ).
cnf(refute_16_252,plain,
e0 != op(e3,e1),
inference(resolve,[$cnf( $equal(op(e2,e1),op(e3,e1)) )],[refute_16_251,refute_16_249]) ).
cnf(refute_16_253,plain,
( op(e3,e1) != e0
| e0 = op(e3,e1) ),
inference(subst,[],[refute_16_5:[bind(X,$fot(op(e3,e1))),bind(Y,$fot(e0))]]) ).
cnf(refute_16_254,plain,
op(e3,e1) != e0,
inference(resolve,[$cnf( $equal(e0,op(e3,e1)) )],[refute_16_253,refute_16_252]) ).
cnf(refute_16_255,plain,
( op(e3,e1) = e1
| op(e3,e1) = e2
| op(e3,e1) = e3
| op(e3,e1) = e4 ),
inference(resolve,[$cnf( $equal(op(e3,e1),e0) )],[refute_16_248,refute_16_254]) ).
cnf(refute_16_256,plain,
op(e3,e1) != op(e3,e4),
inference(canonicalize,[],[normalize_16_46]) ).
cnf(refute_16_257,plain,
( op(e3,e1) != e1
| op(e3,e4) != e1
| op(e3,e1) = op(e3,e4) ),
introduced(tautology,[equality,[$cnf( ~ $equal(op(e3,e1),op(e3,e4)) ),[1],$fot(e1)]]) ).
cnf(refute_16_258,plain,
( op(e3,e1) != e1
| op(e3,e1) = op(e3,e4) ),
inference(resolve,[$cnf( $equal(op(e3,e4),e1) )],[refute_16_44,refute_16_257]) ).
cnf(refute_16_259,plain,
op(e3,e1) != e1,
inference(resolve,[$cnf( $equal(op(e3,e1),op(e3,e4)) )],[refute_16_258,refute_16_256]) ).
cnf(refute_16_260,plain,
( op(e3,e1) = e2
| op(e3,e1) = e3
| op(e3,e1) = e4 ),
inference(resolve,[$cnf( $equal(op(e3,e1),e1) )],[refute_16_255,refute_16_259]) ).
cnf(refute_16_261,plain,
op(e3,e0) != op(e3,e1),
inference(canonicalize,[],[normalize_16_47]) ).
cnf(refute_16_262,plain,
( e3 != op(e3,e1)
| op(e3,e0) != e3
| op(e3,e0) = op(e3,e1) ),
introduced(tautology,[equality,[$cnf( $equal(op(e3,e0),e3) ),[1],$fot(op(e3,e1))]]) ).
cnf(refute_16_263,plain,
( e3 != op(e3,e1)
| op(e3,e0) = op(e3,e1) ),
inference(resolve,[$cnf( $equal(op(e3,e0),e3) )],[refute_16_141,refute_16_262]) ).
cnf(refute_16_264,plain,
e3 != op(e3,e1),
inference(resolve,[$cnf( $equal(op(e3,e0),op(e3,e1)) )],[refute_16_263,refute_16_261]) ).
cnf(refute_16_265,plain,
( op(e3,e1) != e3
| e3 = op(e3,e1) ),
inference(subst,[],[refute_16_5:[bind(X,$fot(op(e3,e1))),bind(Y,$fot(e3))]]) ).
cnf(refute_16_266,plain,
op(e3,e1) != e3,
inference(resolve,[$cnf( $equal(e3,op(e3,e1)) )],[refute_16_265,refute_16_264]) ).
cnf(refute_16_267,plain,
( op(e3,e1) = e2
| op(e3,e1) = e4 ),
inference(resolve,[$cnf( $equal(op(e3,e1),e3) )],[refute_16_260,refute_16_266]) ).
cnf(refute_16_268,plain,
op(e1,e1) != op(e3,e1),
inference(canonicalize,[],[normalize_16_48]) ).
cnf(refute_16_269,plain,
( op(e1,op(e2,e1)) = e2
| op(e1,op(e3,e1)) = e3
| op(e1,op(e4,e1)) = e4
| definitionFOFtoCNF_65 ),
inference(canonicalize,[],[normalize_16_53]) ).
cnf(refute_16_270,plain,
op(e1,op(e2,e1)) = op(e1,op(e2,e1)),
introduced(tautology,[refl,[$fot(op(e1,op(e2,e1)))]]) ).
cnf(refute_16_271,plain,
( op(e1,op(e2,e1)) != op(e1,op(e2,e1))
| op(e2,e1) != e0
| op(e1,op(e2,e1)) = op(e1,e0) ),
introduced(tautology,[equality,[$cnf( $equal(op(e1,op(e2,e1)),op(e1,op(e2,e1))) ),[1,1],$fot(e0)]]) ).
cnf(refute_16_272,plain,
( op(e2,e1) != e0
| op(e1,op(e2,e1)) = op(e1,e0) ),
inference(resolve,[$cnf( $equal(op(e1,op(e2,e1)),op(e1,op(e2,e1))) )],[refute_16_270,refute_16_271]) ).
cnf(refute_16_273,plain,
op(e1,op(e2,e1)) = op(e1,e0),
inference(resolve,[$cnf( $equal(op(e2,e1),e0) )],[refute_16_247,refute_16_272]) ).
cnf(refute_16_274,plain,
( op(e1,e0) != e1
| op(e1,op(e2,e1)) != op(e1,e0)
| op(e1,op(e2,e1)) = e1 ),
inference(subst,[],[refute_16_36:[bind(X,$fot(op(e1,op(e2,e1)))),bind(Y,$fot(op(e1,e0))),bind(Z,$fot(e1))]]) ).
cnf(refute_16_275,plain,
( op(e1,e0) != e1
| op(e1,op(e2,e1)) = e1 ),
inference(resolve,[$cnf( $equal(op(e1,op(e2,e1)),op(e1,e0)) )],[refute_16_273,refute_16_274]) ).
cnf(refute_16_276,plain,
op(e1,op(e2,e1)) = e1,
inference(resolve,[$cnf( $equal(op(e1,e0),e1) )],[refute_16_160,refute_16_275]) ).
cnf(refute_16_277,plain,
( op(e1,op(e2,e1)) != e1
| op(e1,op(e2,e1)) != e2
| e1 = e2 ),
introduced(tautology,[equality,[$cnf( $equal(op(e1,op(e2,e1)),e2) ),[0],$fot(e1)]]) ).
cnf(refute_16_278,plain,
( op(e1,op(e2,e1)) != e2
| e1 = e2 ),
inference(resolve,[$cnf( $equal(op(e1,op(e2,e1)),e1) )],[refute_16_276,refute_16_277]) ).
cnf(refute_16_279,plain,
( e1 = e2
| op(e1,op(e3,e1)) = e3
| op(e1,op(e4,e1)) = e4
| definitionFOFtoCNF_65 ),
inference(resolve,[$cnf( $equal(op(e1,op(e2,e1)),e2) )],[refute_16_269,refute_16_278]) ).
cnf(refute_16_280,plain,
( op(e1,op(e3,e1)) = e3
| op(e1,op(e4,e1)) = e4
| definitionFOFtoCNF_65 ),
inference(resolve,[$cnf( $equal(e1,e2) )],[refute_16_279,refute_16_180]) ).
cnf(refute_16_281,plain,
( op(e0,op(e0,e1)) != e1
| ~ definitionFOFtoCNF_65 ),
inference(canonicalize,[],[normalize_16_55]) ).
cnf(refute_16_282,plain,
op(e0,op(e0,e1)) = op(e0,op(e0,e1)),
introduced(tautology,[refl,[$fot(op(e0,op(e0,e1)))]]) ).
cnf(refute_16_283,plain,
( op(e0,e1) != e1
| op(e0,op(e0,e1)) != op(e0,op(e0,e1))
| op(e0,op(e0,e1)) = op(e0,e1) ),
introduced(tautology,[equality,[$cnf( $equal(op(e0,op(e0,e1)),op(e0,op(e0,e1))) ),[1,1],$fot(e1)]]) ).
cnf(refute_16_284,plain,
( op(e0,e1) != e1
| op(e0,op(e0,e1)) = op(e0,e1) ),
inference(resolve,[$cnf( $equal(op(e0,op(e0,e1)),op(e0,op(e0,e1))) )],[refute_16_282,refute_16_283]) ).
cnf(refute_16_285,plain,
op(e0,op(e0,e1)) = op(e0,e1),
inference(resolve,[$cnf( $equal(op(e0,e1),e1) )],[refute_16_227,refute_16_284]) ).
cnf(refute_16_286,plain,
( op(e0,e1) != e1
| op(e0,op(e0,e1)) != op(e0,e1)
| op(e0,op(e0,e1)) = e1 ),
inference(subst,[],[refute_16_36:[bind(X,$fot(op(e0,op(e0,e1)))),bind(Y,$fot(op(e0,e1))),bind(Z,$fot(e1))]]) ).
cnf(refute_16_287,plain,
( op(e0,e1) != e1
| op(e0,op(e0,e1)) = e1 ),
inference(resolve,[$cnf( $equal(op(e0,op(e0,e1)),op(e0,e1)) )],[refute_16_285,refute_16_286]) ).
cnf(refute_16_288,plain,
op(e0,op(e0,e1)) = e1,
inference(resolve,[$cnf( $equal(op(e0,e1),e1) )],[refute_16_227,refute_16_287]) ).
cnf(refute_16_289,plain,
( e1 != e1
| op(e0,op(e0,e1)) != e1
| op(e0,op(e0,e1)) = e1 ),
introduced(tautology,[equality,[$cnf( $equal(op(e0,op(e0,e1)),e1) ),[0,1,1],$fot(e1)]]) ).
cnf(refute_16_290,plain,
( e1 != e1
| op(e0,op(e0,e1)) = e1 ),
inference(resolve,[$cnf( $equal(op(e0,op(e0,e1)),e1) )],[refute_16_288,refute_16_289]) ).
cnf(refute_16_291,plain,
( e1 != e1
| ~ definitionFOFtoCNF_65 ),
inference(resolve,[$cnf( $equal(op(e0,op(e0,e1)),e1) )],[refute_16_290,refute_16_281]) ).
cnf(refute_16_292,plain,
~ definitionFOFtoCNF_65,
inference(resolve,[$cnf( $equal(e1,e1) )],[refute_16_231,refute_16_291]) ).
cnf(refute_16_293,plain,
( op(e1,op(e3,e1)) = e3
| op(e1,op(e4,e1)) = e4 ),
inference(resolve,[$cnf( definitionFOFtoCNF_65 )],[refute_16_280,refute_16_292]) ).
cnf(refute_16_294,plain,
( op(e0,e1) = e3
| op(e1,e1) = e3
| op(e2,e1) = e3
| op(e3,e1) = e3
| op(e4,e1) = e3 ),
inference(canonicalize,[],[normalize_16_56]) ).
cnf(refute_16_295,plain,
( op(e0,e1) = e3
| op(e1,e1) = e3
| op(e3,e1) = e3
| op(e4,e1) = e3 ),
inference(resolve,[$cnf( $equal(op(e2,e1),e3) )],[refute_16_294,refute_16_215]) ).
cnf(refute_16_296,plain,
( op(e0,e1) != e1
| op(e0,e1) != e3
| e1 = e3 ),
introduced(tautology,[equality,[$cnf( $equal(op(e0,e1),e3) ),[0],$fot(e1)]]) ).
cnf(refute_16_297,plain,
( op(e0,e1) != e3
| e1 = e3 ),
inference(resolve,[$cnf( $equal(op(e0,e1),e1) )],[refute_16_227,refute_16_296]) ).
cnf(refute_16_298,plain,
( e1 = e3
| op(e1,e1) = e3
| op(e3,e1) = e3
| op(e4,e1) = e3 ),
inference(resolve,[$cnf( $equal(op(e0,e1),e3) )],[refute_16_295,refute_16_297]) ).
cnf(refute_16_299,plain,
e1 != e3,
inference(canonicalize,[],[normalize_16_57]) ).
cnf(refute_16_300,plain,
( op(e1,e1) = e3
| op(e3,e1) = e3
| op(e4,e1) = e3 ),
inference(resolve,[$cnf( $equal(e1,e3) )],[refute_16_298,refute_16_299]) ).
cnf(refute_16_301,plain,
( op(e1,e1) = e3
| op(e4,e1) = e3 ),
inference(resolve,[$cnf( $equal(op(e3,e1),e3) )],[refute_16_300,refute_16_266]) ).
cnf(refute_16_302,plain,
( op(e1,op(e4,e1)) != e4
| op(e4,e1) != e3
| op(e1,e3) = e4 ),
introduced(tautology,[equality,[$cnf( $equal(op(e1,op(e4,e1)),e4) ),[0,1],$fot(e3)]]) ).
cnf(refute_16_303,plain,
( op(e1,op(e4,e1)) != e4
| op(e1,e1) = e3
| op(e1,e3) = e4 ),
inference(resolve,[$cnf( $equal(op(e4,e1),e3) )],[refute_16_301,refute_16_302]) ).
cnf(refute_16_304,plain,
( op(e1,e1) = e3
| op(e1,e3) = e4
| op(e1,op(e3,e1)) = e3 ),
inference(resolve,[$cnf( $equal(op(e1,op(e4,e1)),e4) )],[refute_16_293,refute_16_303]) ).
cnf(refute_16_305,plain,
( op(e0,e3) = e0
| op(e1,e3) = e0
| op(e2,e3) = e0
| op(e3,e3) = e0
| op(e4,e3) = e0 ),
inference(canonicalize,[],[normalize_16_58]) ).
cnf(refute_16_306,plain,
op(e4,e3) != op(e4,e4),
inference(canonicalize,[],[normalize_16_59]) ).
cnf(refute_16_307,plain,
( op(e4,e3) != e0
| op(e4,e4) != e0
| op(e4,e3) = op(e4,e4) ),
introduced(tautology,[equality,[$cnf( ~ $equal(op(e4,e3),op(e4,e4)) ),[1],$fot(e0)]]) ).
cnf(refute_16_308,plain,
( op(e4,e3) != e0
| op(e4,e3) = op(e4,e4) ),
inference(resolve,[$cnf( $equal(op(e4,e4),e0) )],[refute_16_101,refute_16_307]) ).
cnf(refute_16_309,plain,
op(e4,e3) != e0,
inference(resolve,[$cnf( $equal(op(e4,e3),op(e4,e4)) )],[refute_16_308,refute_16_306]) ).
cnf(refute_16_310,plain,
( op(e0,e3) = e0
| op(e1,e3) = e0
| op(e2,e3) = e0
| op(e3,e3) = e0 ),
inference(resolve,[$cnf( $equal(op(e4,e3),e0) )],[refute_16_305,refute_16_309]) ).
cnf(refute_16_311,plain,
op(unit,e3) = op(unit,e3),
introduced(tautology,[refl,[$fot(op(unit,e3))]]) ).
cnf(refute_16_312,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_16_313,plain,
( unit != e0
| op(unit,e3) = op(e0,e3) ),
inference(resolve,[$cnf( $equal(op(unit,e3),op(unit,e3)) )],[refute_16_311,refute_16_312]) ).
cnf(refute_16_314,plain,
op(unit,e3) = op(e0,e3),
inference(resolve,[$cnf( $equal(unit,e0) )],[refute_16_121,refute_16_313]) ).
cnf(refute_16_315,plain,
( op(unit,e3) != e3
| op(unit,e3) != op(e0,e3)
| op(e0,e3) = e3 ),
introduced(tautology,[equality,[$cnf( $equal(op(unit,e3),e3) ),[0],$fot(op(e0,e3))]]) ).
cnf(refute_16_316,plain,
( op(unit,e3) != e3
| op(e0,e3) = e3 ),
inference(resolve,[$cnf( $equal(op(unit,e3),op(e0,e3)) )],[refute_16_314,refute_16_315]) ).
cnf(refute_16_317,plain,
op(e0,e3) = e3,
inference(resolve,[$cnf( $equal(op(unit,e3),e3) )],[refute_16_54,refute_16_316]) ).
cnf(refute_16_318,plain,
( op(e0,e3) != e0
| op(e0,e3) != e3
| e3 = e0 ),
introduced(tautology,[equality,[$cnf( $equal(op(e0,e3),e0) ),[0],$fot(e3)]]) ).
cnf(refute_16_319,plain,
( op(e0,e3) != e0
| e3 = e0 ),
inference(resolve,[$cnf( $equal(op(e0,e3),e3) )],[refute_16_317,refute_16_318]) ).
cnf(refute_16_320,plain,
( e3 = e0
| op(e1,e3) = e0
| op(e2,e3) = e0
| op(e3,e3) = e0 ),
inference(resolve,[$cnf( $equal(op(e0,e3),e0) )],[refute_16_310,refute_16_319]) ).
cnf(refute_16_321,plain,
( op(e2,e0) = e1
| op(e2,e1) = e1
| op(e2,e2) = e1
| op(e2,e3) = e1
| op(e2,e4) = e1 ),
inference(canonicalize,[],[normalize_16_60]) ).
cnf(refute_16_322,plain,
( op(e2,e2) != e1
| op(e2,e2) != e4
| e4 = e1 ),
introduced(tautology,[equality,[$cnf( $equal(op(e2,e2),e1) ),[0],$fot(e4)]]) ).
cnf(refute_16_323,plain,
( op(e2,e2) != e1
| e4 = e1 ),
inference(resolve,[$cnf( $equal(op(e2,e2),e4) )],[refute_16_7,refute_16_322]) ).
cnf(refute_16_324,plain,
( e4 = e1
| op(e2,e0) = e1
| op(e2,e1) = e1
| op(e2,e3) = e1
| op(e2,e4) = e1 ),
inference(resolve,[$cnf( $equal(op(e2,e2),e1) )],[refute_16_321,refute_16_323]) ).
cnf(refute_16_325,plain,
( e4 != e1
| e1 = e4 ),
inference(subst,[],[refute_16_5:[bind(X,$fot(e4)),bind(Y,$fot(e1))]]) ).
cnf(refute_16_326,plain,
e4 != e1,
inference(resolve,[$cnf( $equal(e1,e4) )],[refute_16_325,refute_16_80]) ).
cnf(refute_16_327,plain,
( op(e2,e0) = e1
| op(e2,e1) = e1
| op(e2,e3) = e1
| op(e2,e4) = e1 ),
inference(resolve,[$cnf( $equal(e4,e1) )],[refute_16_324,refute_16_326]) ).
cnf(refute_16_328,plain,
( op(e2,e4) != e1
| op(e2,e4) != e3
| e3 = e1 ),
introduced(tautology,[equality,[$cnf( $equal(op(e2,e4),e1) ),[0],$fot(e3)]]) ).
cnf(refute_16_329,plain,
( op(e2,e4) != e1
| e3 = e1 ),
inference(resolve,[$cnf( $equal(op(e2,e4),e3) )],[refute_16_68,refute_16_328]) ).
cnf(refute_16_330,plain,
( e3 = e1
| op(e2,e0) = e1
| op(e2,e1) = e1
| op(e2,e3) = e1 ),
inference(resolve,[$cnf( $equal(op(e2,e4),e1) )],[refute_16_327,refute_16_329]) ).
cnf(refute_16_331,plain,
( e3 != e1
| e1 = e3 ),
inference(subst,[],[refute_16_5:[bind(X,$fot(e3)),bind(Y,$fot(e1))]]) ).
cnf(refute_16_332,plain,
e3 != e1,
inference(resolve,[$cnf( $equal(e1,e3) )],[refute_16_331,refute_16_299]) ).
cnf(refute_16_333,plain,
( op(e2,e0) = e1
| op(e2,e1) = e1
| op(e2,e3) = e1 ),
inference(resolve,[$cnf( $equal(e3,e1) )],[refute_16_330,refute_16_332]) ).
cnf(refute_16_334,plain,
( op(e2,e0) != e1
| op(e2,e0) != e2
| e2 = e1 ),
introduced(tautology,[equality,[$cnf( $equal(op(e2,e0),e1) ),[0],$fot(e2)]]) ).
cnf(refute_16_335,plain,
( op(e2,e0) != e1
| e2 = e1 ),
inference(resolve,[$cnf( $equal(op(e2,e0),e2) )],[refute_16_241,refute_16_334]) ).
cnf(refute_16_336,plain,
( e2 = e1
| op(e2,e1) = e1
| op(e2,e3) = e1 ),
inference(resolve,[$cnf( $equal(op(e2,e0),e1) )],[refute_16_333,refute_16_335]) ).
cnf(refute_16_337,plain,
( e2 != e1
| e1 = e2 ),
inference(subst,[],[refute_16_5:[bind(X,$fot(e2)),bind(Y,$fot(e1))]]) ).
cnf(refute_16_338,plain,
e2 != e1,
inference(resolve,[$cnf( $equal(e1,e2) )],[refute_16_337,refute_16_180]) ).
cnf(refute_16_339,plain,
( op(e2,e1) = e1
| op(e2,e3) = e1 ),
inference(resolve,[$cnf( $equal(e2,e1) )],[refute_16_336,refute_16_338]) ).
cnf(refute_16_340,plain,
( e1 != op(e2,e1)
| op(e0,e1) != e1
| op(e0,e1) = op(e2,e1) ),
introduced(tautology,[equality,[$cnf( $equal(op(e0,e1),e1) ),[1],$fot(op(e2,e1))]]) ).
cnf(refute_16_341,plain,
( e1 != op(e2,e1)
| op(e0,e1) = op(e2,e1) ),
inference(resolve,[$cnf( $equal(op(e0,e1),e1) )],[refute_16_227,refute_16_340]) ).
cnf(refute_16_342,plain,
e1 != op(e2,e1),
inference(resolve,[$cnf( $equal(op(e0,e1),op(e2,e1)) )],[refute_16_341,refute_16_205]) ).
cnf(refute_16_343,plain,
( op(e2,e1) != e1
| e1 = op(e2,e1) ),
inference(subst,[],[refute_16_5:[bind(X,$fot(op(e2,e1))),bind(Y,$fot(e1))]]) ).
cnf(refute_16_344,plain,
op(e2,e1) != e1,
inference(resolve,[$cnf( $equal(e1,op(e2,e1)) )],[refute_16_343,refute_16_342]) ).
cnf(refute_16_345,plain,
op(e2,e3) = e1,
inference(resolve,[$cnf( $equal(op(e2,e1),e1) )],[refute_16_339,refute_16_344]) ).
cnf(refute_16_346,plain,
( op(e2,e3) != e0
| op(e2,e3) != e1
| e1 = e0 ),
introduced(tautology,[equality,[$cnf( $equal(op(e2,e3),e0) ),[0],$fot(e1)]]) ).
cnf(refute_16_347,plain,
( op(e2,e3) != e0
| e1 = e0 ),
inference(resolve,[$cnf( $equal(op(e2,e3),e1) )],[refute_16_345,refute_16_346]) ).
cnf(refute_16_348,plain,
( e1 = e0
| e3 = e0
| op(e1,e3) = e0
| op(e3,e3) = e0 ),
inference(resolve,[$cnf( $equal(op(e2,e3),e0) )],[refute_16_320,refute_16_347]) ).
cnf(refute_16_349,plain,
e0 != e1,
inference(canonicalize,[],[normalize_16_61]) ).
cnf(refute_16_350,plain,
( e1 != e0
| e0 = e1 ),
inference(subst,[],[refute_16_5:[bind(X,$fot(e1)),bind(Y,$fot(e0))]]) ).
cnf(refute_16_351,plain,
e1 != e0,
inference(resolve,[$cnf( $equal(e0,e1) )],[refute_16_350,refute_16_349]) ).
cnf(refute_16_352,plain,
( e3 = e0
| op(e1,e3) = e0
| op(e3,e3) = e0 ),
inference(resolve,[$cnf( $equal(e1,e0) )],[refute_16_348,refute_16_351]) ).
cnf(refute_16_353,plain,
e0 != e3,
inference(canonicalize,[],[normalize_16_62]) ).
cnf(refute_16_354,plain,
( e3 != e0
| e0 = e3 ),
inference(subst,[],[refute_16_5:[bind(X,$fot(e3)),bind(Y,$fot(e0))]]) ).
cnf(refute_16_355,plain,
e3 != e0,
inference(resolve,[$cnf( $equal(e0,e3) )],[refute_16_354,refute_16_353]) ).
cnf(refute_16_356,plain,
( op(e1,e3) = e0
| op(e3,e3) = e0 ),
inference(resolve,[$cnf( $equal(e3,e0) )],[refute_16_352,refute_16_355]) ).
cnf(refute_16_357,plain,
op(e3,e2) != op(e3,e3),
inference(canonicalize,[],[normalize_16_63]) ).
cnf(refute_16_358,plain,
( e0 != op(e3,e3)
| op(e3,e2) != e0
| op(e3,e2) = op(e3,e3) ),
introduced(tautology,[equality,[$cnf( $equal(op(e3,e2),e0) ),[1],$fot(op(e3,e3))]]) ).
cnf(refute_16_359,plain,
( e0 != op(e3,e3)
| op(e3,e2) = op(e3,e3) ),
inference(resolve,[$cnf( $equal(op(e3,e2),e0) )],[refute_16_147,refute_16_358]) ).
cnf(refute_16_360,plain,
e0 != op(e3,e3),
inference(resolve,[$cnf( $equal(op(e3,e2),op(e3,e3)) )],[refute_16_359,refute_16_357]) ).
cnf(refute_16_361,plain,
( op(e3,e3) != e0
| e0 = op(e3,e3) ),
inference(subst,[],[refute_16_5:[bind(X,$fot(op(e3,e3))),bind(Y,$fot(e0))]]) ).
cnf(refute_16_362,plain,
op(e3,e3) != e0,
inference(resolve,[$cnf( $equal(e0,op(e3,e3)) )],[refute_16_361,refute_16_360]) ).
cnf(refute_16_363,plain,
op(e1,e3) = e0,
inference(resolve,[$cnf( $equal(op(e3,e3),e0) )],[refute_16_356,refute_16_362]) ).
cnf(refute_16_364,plain,
( op(e1,e3) != e0
| op(e1,e3) != e4
| e0 = e4 ),
introduced(tautology,[equality,[$cnf( $equal(op(e1,e3),e4) ),[0],$fot(e0)]]) ).
cnf(refute_16_365,plain,
( op(e1,e3) != e4
| e0 = e4 ),
inference(resolve,[$cnf( $equal(op(e1,e3),e0) )],[refute_16_363,refute_16_364]) ).
cnf(refute_16_366,plain,
( e0 = e4
| op(e1,e1) = e3
| op(e1,op(e3,e1)) = e3 ),
inference(resolve,[$cnf( $equal(op(e1,e3),e4) )],[refute_16_304,refute_16_365]) ).
cnf(refute_16_367,plain,
( op(e1,e1) = e3
| op(e1,op(e3,e1)) = e3 ),
inference(resolve,[$cnf( $equal(e0,e4) )],[refute_16_366,refute_16_105]) ).
cnf(refute_16_368,plain,
op(e1,e1) != op(e4,e1),
inference(canonicalize,[],[normalize_16_64]) ).
cnf(refute_16_369,plain,
( op(e0,e1) = e4
| op(e1,e1) = e4
| op(e2,e1) = e4
| op(e3,e1) = e4
| op(e4,e1) = e4 ),
inference(canonicalize,[],[normalize_16_65]) ).
cnf(refute_16_370,plain,
( op(e0,e1) = e4
| op(e1,e1) = e4
| op(e3,e1) = e4
| op(e4,e1) = e4 ),
inference(resolve,[$cnf( $equal(op(e2,e1),e4) )],[refute_16_369,refute_16_210]) ).
cnf(refute_16_371,plain,
( op(e0,e1) != e1
| op(e0,e1) != e4
| e1 = e4 ),
introduced(tautology,[equality,[$cnf( $equal(op(e0,e1),e4) ),[0],$fot(e1)]]) ).
cnf(refute_16_372,plain,
( op(e0,e1) != e4
| e1 = e4 ),
inference(resolve,[$cnf( $equal(op(e0,e1),e1) )],[refute_16_227,refute_16_371]) ).
cnf(refute_16_373,plain,
( e1 = e4
| op(e1,e1) = e4
| op(e3,e1) = e4
| op(e4,e1) = e4 ),
inference(resolve,[$cnf( $equal(op(e0,e1),e4) )],[refute_16_370,refute_16_372]) ).
cnf(refute_16_374,plain,
( op(e1,e1) = e4
| op(e3,e1) = e4
| op(e4,e1) = e4 ),
inference(resolve,[$cnf( $equal(e1,e4) )],[refute_16_373,refute_16_80]) ).
cnf(refute_16_375,plain,
op(e4,e0) != op(e4,e1),
inference(canonicalize,[],[normalize_16_66]) ).
cnf(refute_16_376,plain,
op(e4,unit) = e4,
inference(canonicalize,[],[normalize_16_67]) ).
cnf(refute_16_377,plain,
op(e4,unit) = op(e4,unit),
introduced(tautology,[refl,[$fot(op(e4,unit))]]) ).
cnf(refute_16_378,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_16_379,plain,
( unit != e0
| op(e4,unit) = op(e4,e0) ),
inference(resolve,[$cnf( $equal(op(e4,unit),op(e4,unit)) )],[refute_16_377,refute_16_378]) ).
cnf(refute_16_380,plain,
op(e4,unit) = op(e4,e0),
inference(resolve,[$cnf( $equal(unit,e0) )],[refute_16_121,refute_16_379]) ).
cnf(refute_16_381,plain,
( op(e4,unit) != e4
| op(e4,unit) != op(e4,e0)
| op(e4,e0) = e4 ),
introduced(tautology,[equality,[$cnf( $equal(op(e4,unit),e4) ),[0],$fot(op(e4,e0))]]) ).
cnf(refute_16_382,plain,
( op(e4,unit) != e4
| op(e4,e0) = e4 ),
inference(resolve,[$cnf( $equal(op(e4,unit),op(e4,e0)) )],[refute_16_380,refute_16_381]) ).
cnf(refute_16_383,plain,
op(e4,e0) = e4,
inference(resolve,[$cnf( $equal(op(e4,unit),e4) )],[refute_16_376,refute_16_382]) ).
cnf(refute_16_384,plain,
( e4 != op(e4,e1)
| op(e4,e0) != e4
| op(e4,e0) = op(e4,e1) ),
introduced(tautology,[equality,[$cnf( $equal(op(e4,e0),e4) ),[1],$fot(op(e4,e1))]]) ).
cnf(refute_16_385,plain,
( e4 != op(e4,e1)
| op(e4,e0) = op(e4,e1) ),
inference(resolve,[$cnf( $equal(op(e4,e0),e4) )],[refute_16_383,refute_16_384]) ).
cnf(refute_16_386,plain,
e4 != op(e4,e1),
inference(resolve,[$cnf( $equal(op(e4,e0),op(e4,e1)) )],[refute_16_385,refute_16_375]) ).
cnf(refute_16_387,plain,
( op(e4,e1) != e4
| e4 = op(e4,e1) ),
inference(subst,[],[refute_16_5:[bind(X,$fot(op(e4,e1))),bind(Y,$fot(e4))]]) ).
cnf(refute_16_388,plain,
op(e4,e1) != e4,
inference(resolve,[$cnf( $equal(e4,op(e4,e1)) )],[refute_16_387,refute_16_386]) ).
cnf(refute_16_389,plain,
( op(e1,e1) = e4
| op(e3,e1) = e4 ),
inference(resolve,[$cnf( $equal(op(e4,e1),e4) )],[refute_16_374,refute_16_388]) ).
cnf(refute_16_390,plain,
( op(e3,e1) != e4
| op(op(e3,e1),e1) != e3
| op(e4,e1) = e3 ),
introduced(tautology,[equality,[$cnf( $equal(op(op(e3,e1),e1),e3) ),[0,0],$fot(e4)]]) ).
cnf(refute_16_391,plain,
( op(op(e3,e1),e1) != e3
| op(e1,e1) = e4
| op(e4,e1) = e3 ),
inference(resolve,[$cnf( $equal(op(e3,e1),e4) )],[refute_16_389,refute_16_390]) ).
cnf(refute_16_392,plain,
( op(e1,e1) = e4
| op(e4,e1) = e3 ),
inference(resolve,[$cnf( $equal(op(op(e3,e1),e1),e3) )],[refute_16_204,refute_16_391]) ).
cnf(refute_16_393,plain,
( op(e1,e1) != e3
| op(e4,e1) != e3
| op(e1,e1) = op(e4,e1) ),
introduced(tautology,[equality,[$cnf( ~ $equal(op(e1,e1),op(e4,e1)) ),[1],$fot(e3)]]) ).
cnf(refute_16_394,plain,
( op(e1,e1) != e3
| op(e1,e1) = e4
| op(e1,e1) = op(e4,e1) ),
inference(resolve,[$cnf( $equal(op(e4,e1),e3) )],[refute_16_392,refute_16_393]) ).
cnf(refute_16_395,plain,
( op(e1,e1) != e3
| op(e1,e1) = e4 ),
inference(resolve,[$cnf( $equal(op(e1,e1),op(e4,e1)) )],[refute_16_394,refute_16_368]) ).
cnf(refute_16_396,plain,
( op(e1,e1) != e3
| op(e1,e1) != e4
| e3 = e4 ),
introduced(tautology,[equality,[$cnf( $equal(op(e1,e1),e4) ),[0],$fot(e3)]]) ).
cnf(refute_16_397,plain,
( op(e1,e1) != e3
| e3 = e4 ),
inference(resolve,[$cnf( $equal(op(e1,e1),e4) )],[refute_16_395,refute_16_396]) ).
cnf(refute_16_398,plain,
op(e1,e1) != e3,
inference(resolve,[$cnf( $equal(e3,e4) )],[refute_16_397,refute_16_72]) ).
cnf(refute_16_399,plain,
op(e1,op(e3,e1)) = e3,
inference(resolve,[$cnf( $equal(op(e1,e1),e3) )],[refute_16_367,refute_16_398]) ).
cnf(refute_16_400,plain,
( op(e1,op(e3,e1)) != e3
| op(e3,e1) != e4
| op(e1,e4) = e3 ),
introduced(tautology,[equality,[$cnf( $equal(op(e1,op(e3,e1)),e3) ),[0,1],$fot(e4)]]) ).
cnf(refute_16_401,plain,
( op(e1,op(e3,e1)) != e3
| op(e1,e1) = e4
| op(e1,e4) = e3 ),
inference(resolve,[$cnf( $equal(op(e3,e1),e4) )],[refute_16_389,refute_16_400]) ).
cnf(refute_16_402,plain,
( op(e1,e1) = e4
| op(e1,e4) = e3 ),
inference(resolve,[$cnf( $equal(op(e1,op(e3,e1)),e3) )],[refute_16_399,refute_16_401]) ).
cnf(refute_16_403,plain,
( op(e1,e4) != e2
| op(e1,e4) != e3
| e2 = e3 ),
introduced(tautology,[equality,[$cnf( $equal(op(e1,e4),e3) ),[0],$fot(e2)]]) ).
cnf(refute_16_404,plain,
( op(e1,e4) != e3
| e2 = e3 ),
inference(resolve,[$cnf( $equal(op(e1,e4),e2) )],[refute_16_199,refute_16_403]) ).
cnf(refute_16_405,plain,
( e2 = e3
| op(e1,e1) = e4 ),
inference(resolve,[$cnf( $equal(op(e1,e4),e3) )],[refute_16_402,refute_16_404]) ).
cnf(refute_16_406,plain,
op(e1,e1) = e4,
inference(resolve,[$cnf( $equal(e2,e3) )],[refute_16_405,refute_16_182]) ).
cnf(refute_16_407,plain,
( e4 != op(e3,e1)
| op(e1,e1) != e4
| op(e1,e1) = op(e3,e1) ),
introduced(tautology,[equality,[$cnf( $equal(op(e1,e1),e4) ),[1],$fot(op(e3,e1))]]) ).
cnf(refute_16_408,plain,
( e4 != op(e3,e1)
| op(e1,e1) = op(e3,e1) ),
inference(resolve,[$cnf( $equal(op(e1,e1),e4) )],[refute_16_406,refute_16_407]) ).
cnf(refute_16_409,plain,
e4 != op(e3,e1),
inference(resolve,[$cnf( $equal(op(e1,e1),op(e3,e1)) )],[refute_16_408,refute_16_268]) ).
cnf(refute_16_410,plain,
( op(e3,e1) != e4
| e4 = op(e3,e1) ),
inference(subst,[],[refute_16_5:[bind(X,$fot(op(e3,e1))),bind(Y,$fot(e4))]]) ).
cnf(refute_16_411,plain,
op(e3,e1) != e4,
inference(resolve,[$cnf( $equal(e4,op(e3,e1)) )],[refute_16_410,refute_16_409]) ).
cnf(refute_16_412,plain,
op(e3,e1) = e2,
inference(resolve,[$cnf( $equal(op(e3,e1),e4) )],[refute_16_267,refute_16_411]) ).
cnf(refute_16_413,plain,
op(op(e3,e1),e1) = op(op(e3,e1),e1),
introduced(tautology,[refl,[$fot(op(op(e3,e1),e1))]]) ).
cnf(refute_16_414,plain,
( op(e3,e1) != e2
| op(op(e3,e1),e1) != op(op(e3,e1),e1)
| op(op(e3,e1),e1) = op(e2,e1) ),
introduced(tautology,[equality,[$cnf( $equal(op(op(e3,e1),e1),op(op(e3,e1),e1)) ),[1,0],$fot(e2)]]) ).
cnf(refute_16_415,plain,
( op(e3,e1) != e2
| op(op(e3,e1),e1) = op(e2,e1) ),
inference(resolve,[$cnf( $equal(op(op(e3,e1),e1),op(op(e3,e1),e1)) )],[refute_16_413,refute_16_414]) ).
cnf(refute_16_416,plain,
op(op(e3,e1),e1) = op(e2,e1),
inference(resolve,[$cnf( $equal(op(e3,e1),e2) )],[refute_16_412,refute_16_415]) ).
cnf(refute_16_417,plain,
( op(e2,e1) != e0
| op(op(e3,e1),e1) != op(e2,e1)
| op(op(e3,e1),e1) = e0 ),
inference(subst,[],[refute_16_36:[bind(X,$fot(op(op(e3,e1),e1))),bind(Y,$fot(op(e2,e1))),bind(Z,$fot(e0))]]) ).
cnf(refute_16_418,plain,
( op(e2,e1) != e0
| op(op(e3,e1),e1) = e0 ),
inference(resolve,[$cnf( $equal(op(op(e3,e1),e1),op(e2,e1)) )],[refute_16_416,refute_16_417]) ).
cnf(refute_16_419,plain,
op(op(e3,e1),e1) = e0,
inference(resolve,[$cnf( $equal(op(e2,e1),e0) )],[refute_16_247,refute_16_418]) ).
cnf(refute_16_420,plain,
( op(op(e3,e1),e1) != e0
| op(op(e3,e1),e1) != e3
| e0 = e3 ),
introduced(tautology,[equality,[$cnf( $equal(op(op(e3,e1),e1),e3) ),[0],$fot(e0)]]) ).
cnf(refute_16_421,plain,
( op(op(e3,e1),e1) != e3
| e0 = e3 ),
inference(resolve,[$cnf( $equal(op(op(e3,e1),e1),e0) )],[refute_16_419,refute_16_420]) ).
cnf(refute_16_422,plain,
e0 = e3,
inference(resolve,[$cnf( $equal(op(op(e3,e1),e1),e3) )],[refute_16_204,refute_16_421]) ).
cnf(refute_16_423,plain,
( e0 != e3
| e3 = e0 ),
inference(subst,[],[refute_16_5:[bind(X,$fot(e0)),bind(Y,$fot(e3))]]) ).
cnf(refute_16_424,plain,
e3 = e0,
inference(resolve,[$cnf( $equal(e0,e3) )],[refute_16_422,refute_16_423]) ).
cnf(refute_16_425,plain,
( e3 != e0
| op(e1,e2) != e3
| op(e1,e2) = e0 ),
introduced(tautology,[equality,[$cnf( $equal(op(e1,e2),e3) ),[1],$fot(e0)]]) ).
cnf(refute_16_426,plain,
( op(e1,e2) != e3
| op(e1,e2) = e0 ),
inference(resolve,[$cnf( $equal(e3,e0) )],[refute_16_424,refute_16_425]) ).
cnf(refute_16_427,plain,
op(e1,e2) = e0,
inference(resolve,[$cnf( $equal(op(e1,e2),e3) )],[refute_16_203,refute_16_426]) ).
cnf(refute_16_428,plain,
op(e3,e1) = op(e3,e1),
introduced(tautology,[refl,[$fot(op(e3,e1))]]) ).
cnf(refute_16_429,plain,
( e3 != e0
| op(e3,e1) != op(e3,e1)
| op(e3,e1) = op(e0,e1) ),
introduced(tautology,[equality,[$cnf( $equal(op(e3,e1),op(e3,e1)) ),[1,0],$fot(e0)]]) ).
cnf(refute_16_430,plain,
( e3 != e0
| op(e3,e1) = op(e0,e1) ),
inference(resolve,[$cnf( $equal(op(e3,e1),op(e3,e1)) )],[refute_16_428,refute_16_429]) ).
cnf(refute_16_431,plain,
op(e3,e1) = op(e0,e1),
inference(resolve,[$cnf( $equal(e3,e0) )],[refute_16_424,refute_16_430]) ).
cnf(refute_16_432,plain,
( op(e0,e1) != e1
| op(e3,e1) != op(e0,e1)
| op(e3,e1) = e1 ),
inference(subst,[],[refute_16_36:[bind(X,$fot(op(e3,e1))),bind(Y,$fot(op(e0,e1))),bind(Z,$fot(e1))]]) ).
cnf(refute_16_433,plain,
( op(e0,e1) != e1
| op(e3,e1) = e1 ),
inference(resolve,[$cnf( $equal(op(e3,e1),op(e0,e1)) )],[refute_16_431,refute_16_432]) ).
cnf(refute_16_434,plain,
op(e3,e1) = e1,
inference(resolve,[$cnf( $equal(op(e0,e1),e1) )],[refute_16_227,refute_16_433]) ).
cnf(refute_16_435,plain,
( op(e3,e1) != e1
| op(e3,e1) != e2
| e1 = e2 ),
introduced(tautology,[equality,[$cnf( $equal(op(e3,e1),e2) ),[0],$fot(e1)]]) ).
cnf(refute_16_436,plain,
( op(e3,e1) != e2
| e1 = e2 ),
inference(resolve,[$cnf( $equal(op(e3,e1),e1) )],[refute_16_434,refute_16_435]) ).
cnf(refute_16_437,plain,
e1 = e2,
inference(resolve,[$cnf( $equal(op(e3,e1),e2) )],[refute_16_412,refute_16_436]) ).
cnf(refute_16_438,plain,
( e1 != e2
| e2 = e1 ),
inference(subst,[],[refute_16_5:[bind(X,$fot(e1)),bind(Y,$fot(e2))]]) ).
cnf(refute_16_439,plain,
e2 = e1,
inference(resolve,[$cnf( $equal(e1,e2) )],[refute_16_437,refute_16_438]) ).
cnf(refute_16_440,plain,
op(e1,e2) = op(e1,e2),
introduced(tautology,[refl,[$fot(op(e1,e2))]]) ).
cnf(refute_16_441,plain,
( e2 != e1
| op(e1,e2) != op(e1,e2)
| op(e1,e2) = op(e1,e1) ),
introduced(tautology,[equality,[$cnf( $equal(op(e1,e2),op(e1,e2)) ),[1,1],$fot(e1)]]) ).
cnf(refute_16_442,plain,
( e2 != e1
| op(e1,e2) = op(e1,e1) ),
inference(resolve,[$cnf( $equal(op(e1,e2),op(e1,e2)) )],[refute_16_440,refute_16_441]) ).
cnf(refute_16_443,plain,
op(e1,e2) = op(e1,e1),
inference(resolve,[$cnf( $equal(e2,e1) )],[refute_16_439,refute_16_442]) ).
cnf(refute_16_444,plain,
( op(e1,e1) != e4
| op(e1,e2) != op(e1,e1)
| op(e1,e2) = e4 ),
inference(subst,[],[refute_16_36:[bind(X,$fot(op(e1,e2))),bind(Y,$fot(op(e1,e1))),bind(Z,$fot(e4))]]) ).
cnf(refute_16_445,plain,
( op(e1,e1) != e4
| op(e1,e2) = e4 ),
inference(resolve,[$cnf( $equal(op(e1,e2),op(e1,e1)) )],[refute_16_443,refute_16_444]) ).
cnf(refute_16_446,plain,
op(e1,e2) = e4,
inference(resolve,[$cnf( $equal(op(e1,e1),e4) )],[refute_16_406,refute_16_445]) ).
cnf(refute_16_447,plain,
( op(e1,e2) != e0
| op(e1,e2) != e4
| e4 = e0 ),
introduced(tautology,[equality,[$cnf( $equal(op(e1,e2),e0) ),[0],$fot(e4)]]) ).
cnf(refute_16_448,plain,
( op(e1,e2) != e0
| e4 = e0 ),
inference(resolve,[$cnf( $equal(op(e1,e2),e4) )],[refute_16_446,refute_16_447]) ).
cnf(refute_16_449,plain,
e4 = e0,
inference(resolve,[$cnf( $equal(op(e1,e2),e0) )],[refute_16_427,refute_16_448]) ).
cnf(refute_16_450,plain,
( e4 != e0
| e0 = e4 ),
inference(subst,[],[refute_16_5:[bind(X,$fot(e4)),bind(Y,$fot(e0))]]) ).
cnf(refute_16_451,plain,
e4 != e0,
inference(resolve,[$cnf( $equal(e0,e4) )],[refute_16_450,refute_16_105]) ).
cnf(refute_16_452,plain,
$false,
inference(resolve,[$cnf( $equal(e4,e0) )],[refute_16_449,refute_16_451]) ).
fof(negate_17_0,plain,
~ ( ( ( ( op(e0,op(e0,e0)) != e0
& op(e0,op(e0,e0)) = e0 )
| ( op(e1,op(e1,e0)) != e0
& op(e0,op(e1,e0)) = e1 )
| ( op(e2,op(e2,e0)) != e0
& op(e0,op(e2,e0)) = e2 )
| ( op(e3,op(e3,e0)) != e0
& op(e0,op(e3,e0)) = e3 )
| ( op(e4,op(e4,e0)) != e0
& op(e0,op(e4,e0)) = e4 ) )
& ( ( op(e0,op(e0,e1)) != e1
& op(e1,op(e0,e1)) = e0 )
| ( op(e1,op(e1,e1)) != e1
& op(e1,op(e1,e1)) = e1 )
| ( op(e2,op(e2,e1)) != e1
& op(e1,op(e2,e1)) = e2 )
| ( op(e3,op(e3,e1)) != e1
& op(e1,op(e3,e1)) = e3 )
| ( op(e4,op(e4,e1)) != e1
& op(e1,op(e4,e1)) = e4 ) )
& ( ( op(e0,op(e0,e2)) != e2
& op(e2,op(e0,e2)) = e0 )
| ( op(e1,op(e1,e2)) != e2
& op(e2,op(e1,e2)) = e1 )
| ( op(e2,op(e2,e2)) != e2
& op(e2,op(e2,e2)) = e2 )
| ( op(e3,op(e3,e2)) != e2
& op(e2,op(e3,e2)) = e3 )
| ( op(e4,op(e4,e2)) != e2
& op(e2,op(e4,e2)) = e4 ) )
& ( ( op(e0,op(e0,e3)) != e3
& op(e3,op(e0,e3)) = e0 )
| ( op(e1,op(e1,e3)) != e3
& op(e3,op(e1,e3)) = e1 )
| ( op(e2,op(e2,e3)) != e3
& op(e3,op(e2,e3)) = e2 )
| ( op(e3,op(e3,e3)) != e3
& op(e3,op(e3,e3)) = e3 )
| ( op(e4,op(e4,e3)) != e3
& op(e3,op(e4,e3)) = e4 ) )
& ( ( op(e0,op(e0,e4)) != e4
& op(e4,op(e0,e4)) = e0 )
| ( op(e1,op(e1,e4)) != e4
& op(e4,op(e1,e4)) = e1 )
| ( op(e2,op(e2,e4)) != e4
& op(e4,op(e2,e4)) = e2 )
| ( op(e3,op(e3,e4)) != e4
& op(e4,op(e3,e4)) = e3 )
| ( op(e4,op(e4,e4)) != e4
& op(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,op(e0,e1)) != e1
& op(e1,op(e0,e1)) = e0 )
| ( op(e2,op(e2,e1)) != e1
& op(e1,op(e2,e1)) = e2 )
| ( op(e3,op(e3,e1)) != e1
& op(e1,op(e3,e1)) = e3 )
| ( op(e4,op(e4,e1)) != e1
& op(e1,op(e4,e1)) = e4 ) )
& ( ( op(e0,op(e0,e2)) != e2
& op(e2,op(e0,e2)) = e0 )
| ( op(e1,op(e1,e2)) != e2
& op(e2,op(e1,e2)) = e1 )
| ( op(e3,op(e3,e2)) != e2
& op(e2,op(e3,e2)) = e3 )
| ( op(e4,op(e4,e2)) != e2
& op(e2,op(e4,e2)) = e4 ) )
& ( ( op(e0,op(e0,e3)) != e3
& op(e3,op(e0,e3)) = e0 )
| ( op(e1,op(e1,e3)) != e3
& op(e3,op(e1,e3)) = e1 )
| ( op(e2,op(e2,e3)) != e3
& op(e3,op(e2,e3)) = e2 )
| ( op(e4,op(e4,e3)) != e3
& op(e3,op(e4,e3)) = e4 ) )
& ( ( op(e0,op(e0,e4)) != e4
& op(e4,op(e0,e4)) = e0 )
| ( op(e1,op(e1,e4)) != e4
& op(e4,op(e1,e4)) = e1 )
| ( op(e2,op(e2,e4)) != e4
& op(e4,op(e2,e4)) = e2 )
| ( op(e3,op(e3,e4)) != e4
& op(e4,op(e3,e4)) = e3 ) )
& ( ( op(e1,op(e1,e0)) != e0
& op(e0,op(e1,e0)) = e1 )
| ( op(e2,op(e2,e0)) != e0
& op(e0,op(e2,e0)) = e2 )
| ( op(e3,op(e3,e0)) != e0
& op(e0,op(e3,e0)) = e3 )
| ( op(e4,op(e4,e0)) != e0
& op(e0,op(e4,e0)) = e4 ) ) ),
inference(canonicalize,[],[negate_17_0]) ).
fof(normalize_17_1,plain,
op(e2,e3) != op(e3,e2),
inference(conjunct,[],[normalize_17_0]) ).
fof(normalize_17_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_17_3,plain,
( op(e2,e0) = e0
| op(e2,e1) = e0
| op(e2,e2) = e0
| op(e2,e3) = e0
| op(e2,e4) = e0 ),
inference(conjunct,[],[normalize_17_2]) ).
fof(normalize_17_4,plain,
( e0 = op(op(e2,e2),op(e2,e2))
& e1 = op(op(e2,op(e2,e2)),op(e2,e2))
& e3 = op(e2,op(e2,e2))
& e4 = op(e2,e2) ),
inference(canonicalize,[],[ax6]) ).
fof(normalize_17_5,plain,
e4 = op(e2,e2),
inference(conjunct,[],[normalize_17_4]) ).
fof(normalize_17_6,plain,
( e0 != e1
& e0 != e2
& e0 != e3
& e0 != e4
& e1 != e2
& e1 != e3
& e1 != e4
& e2 != e3
& e2 != e4
& e3 != e4 ),
inference(canonicalize,[],[ax5]) ).
fof(normalize_17_7,plain,
e0 != e4,
inference(conjunct,[],[normalize_17_6]) ).
fof(normalize_17_8,plain,
e3 = op(e2,op(e2,e2)),
inference(conjunct,[],[normalize_17_4]) ).
fof(normalize_17_9,plain,
e0 != e3,
inference(conjunct,[],[normalize_17_6]) ).
fof(normalize_17_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_17_11,plain,
op(e2,unit) = e2,
inference(conjunct,[],[normalize_17_10]) ).
fof(normalize_17_12,plain,
op(unit,e2) = e2,
inference(conjunct,[],[normalize_17_10]) ).
fof(normalize_17_13,plain,
op(unit,e0) = e0,
inference(conjunct,[],[normalize_17_10]) ).
fof(normalize_17_14,plain,
op(unit,e4) = e4,
inference(conjunct,[],[normalize_17_10]) ).
fof(normalize_17_15,plain,
op(unit,e3) = e3,
inference(conjunct,[],[normalize_17_10]) ).
fof(normalize_17_16,plain,
( unit = e0
| unit = e1
| unit = e2
| unit = e3
| unit = e4 ),
inference(conjunct,[],[normalize_17_10]) ).
fof(normalize_17_17,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_18,plain,
op(e2,e3) != op(e2,e4),
inference(conjunct,[],[normalize_17_17]) ).
fof(normalize_17_19,plain,
e1 = op(op(e2,op(e2,e2)),op(e2,e2)),
inference(conjunct,[],[normalize_17_4]) ).
fof(normalize_17_20,plain,
e1 != e4,
inference(conjunct,[],[normalize_17_6]) ).
fof(normalize_17_21,plain,
op(e4,e0) != op(e4,e4),
inference(conjunct,[],[normalize_17_17]) ).
fof(normalize_17_22,plain,
e0 = op(op(e2,e2),op(e2,e2)),
inference(conjunct,[],[normalize_17_4]) ).
fof(normalize_17_23,plain,
op(op(e3,e2),e2) = e3,
inference(conjunct,[],[normalize_17_0]) ).
fof(normalize_17_24,plain,
op(e3,e0) != op(e3,e2),
inference(conjunct,[],[normalize_17_17]) ).
fof(normalize_17_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_17_26,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_25]) ).
fof(normalize_17_27,plain,
op(e2,e2) != op(e3,e2),
inference(conjunct,[],[normalize_17_17]) ).
fof(normalize_17_28,plain,
op(e3,e2) != op(e3,e4),
inference(conjunct,[],[normalize_17_17]) ).
fof(normalize_17_29,plain,
e3 != e4,
inference(conjunct,[],[normalize_17_6]) ).
fof(normalize_17_30,plain,
op(e3,unit) = e3,
inference(conjunct,[],[normalize_17_10]) ).
fof(normalize_17_31,plain,
e2 != e3,
inference(conjunct,[],[normalize_17_6]) ).
fof(normalize_17_32,plain,
e0 != e2,
inference(conjunct,[],[normalize_17_6]) ).
fof(normalize_17_33,plain,
op(e1,e0) != op(e2,e0),
inference(conjunct,[],[normalize_17_17]) ).
fof(normalize_17_34,plain,
( op(e0,e2) = e0
| op(e1,e2) = e0
| op(e2,e2) = e0
| op(e3,e2) = e0
| op(e4,e2) = e0 ),
inference(conjunct,[],[normalize_17_2]) ).
fof(normalize_17_35,plain,
op(e4,e2) != op(e4,e4),
inference(conjunct,[],[normalize_17_17]) ).
fof(normalize_17_36,plain,
op(e0,e1) != op(e0,e2),
inference(conjunct,[],[normalize_17_17]) ).
fof(normalize_17_37,plain,
op(e0,unit) = e0,
inference(conjunct,[],[normalize_17_10]) ).
cnf(refute_17_0,plain,
op(e2,e3) != op(e3,e2),
inference(canonicalize,[],[normalize_17_1]) ).
cnf(refute_17_1,plain,
( op(e2,e0) = e0
| op(e2,e1) = e0
| op(e2,e2) = e0
| op(e2,e3) = e0
| op(e2,e4) = e0 ),
inference(canonicalize,[],[normalize_17_3]) ).
cnf(refute_17_2,plain,
e4 = op(e2,e2),
inference(canonicalize,[],[normalize_17_5]) ).
cnf(refute_17_3,plain,
X = X,
introduced(tautology,[refl,[$fot(X)]]) ).
cnf(refute_17_4,plain,
( X != X
| X != Y
| Y = X ),
introduced(tautology,[equality,[$cnf( $equal(X,X) ),[0],$fot(Y)]]) ).
cnf(refute_17_5,plain,
( X != Y
| Y = X ),
inference(resolve,[$cnf( $equal(X,X) )],[refute_17_3,refute_17_4]) ).
cnf(refute_17_6,plain,
( e4 != op(e2,e2)
| op(e2,e2) = e4 ),
inference(subst,[],[refute_17_5:[bind(X,$fot(e4)),bind(Y,$fot(op(e2,e2)))]]) ).
cnf(refute_17_7,plain,
op(e2,e2) = e4,
inference(resolve,[$cnf( $equal(e4,op(e2,e2)) )],[refute_17_2,refute_17_6]) ).
cnf(refute_17_8,plain,
( op(e2,e2) != e0
| op(e2,e2) != e4
| e4 = e0 ),
introduced(tautology,[equality,[$cnf( $equal(op(e2,e2),e0) ),[0],$fot(e4)]]) ).
cnf(refute_17_9,plain,
( op(e2,e2) != e0
| e4 = e0 ),
inference(resolve,[$cnf( $equal(op(e2,e2),e4) )],[refute_17_7,refute_17_8]) ).
cnf(refute_17_10,plain,
( e4 = e0
| op(e2,e0) = e0
| op(e2,e1) = e0
| op(e2,e3) = e0
| op(e2,e4) = e0 ),
inference(resolve,[$cnf( $equal(op(e2,e2),e0) )],[refute_17_1,refute_17_9]) ).
cnf(refute_17_11,plain,
e0 != e4,
inference(canonicalize,[],[normalize_17_7]) ).
cnf(refute_17_12,plain,
( e4 != e0
| e0 = e4 ),
inference(subst,[],[refute_17_5:[bind(X,$fot(e4)),bind(Y,$fot(e0))]]) ).
cnf(refute_17_13,plain,
e4 != e0,
inference(resolve,[$cnf( $equal(e0,e4) )],[refute_17_12,refute_17_11]) ).
cnf(refute_17_14,plain,
( op(e2,e0) = e0
| op(e2,e1) = e0
| op(e2,e3) = e0
| op(e2,e4) = e0 ),
inference(resolve,[$cnf( $equal(e4,e0) )],[refute_17_10,refute_17_13]) ).
cnf(refute_17_15,plain,
e3 = op(e2,op(e2,e2)),
inference(canonicalize,[],[normalize_17_8]) ).
cnf(refute_17_16,plain,
op(e2,op(e2,e2)) = op(e2,op(e2,e2)),
introduced(tautology,[refl,[$fot(op(e2,op(e2,e2)))]]) ).
cnf(refute_17_17,plain,
( op(e2,e2) != e4
| op(e2,op(e2,e2)) != op(e2,op(e2,e2))
| op(e2,op(e2,e2)) = op(e2,e4) ),
introduced(tautology,[equality,[$cnf( $equal(op(e2,op(e2,e2)),op(e2,op(e2,e2))) ),[1,1],$fot(e4)]]) ).
cnf(refute_17_18,plain,
( op(e2,e2) != e4
| op(e2,op(e2,e2)) = op(e2,e4) ),
inference(resolve,[$cnf( $equal(op(e2,op(e2,e2)),op(e2,op(e2,e2))) )],[refute_17_16,refute_17_17]) ).
cnf(refute_17_19,plain,
op(e2,op(e2,e2)) = op(e2,e4),
inference(resolve,[$cnf( $equal(op(e2,e2),e4) )],[refute_17_7,refute_17_18]) ).
cnf(refute_17_20,plain,
( e3 != op(e2,op(e2,e2))
| op(e2,op(e2,e2)) != op(e2,e4)
| e3 = op(e2,e4) ),
introduced(tautology,[equality,[$cnf( ~ $equal(e3,op(e2,e4)) ),[0],$fot(op(e2,op(e2,e2)))]]) ).
cnf(refute_17_21,plain,
( e3 != op(e2,op(e2,e2))
| e3 = op(e2,e4) ),
inference(resolve,[$cnf( $equal(op(e2,op(e2,e2)),op(e2,e4)) )],[refute_17_19,refute_17_20]) ).
cnf(refute_17_22,plain,
e3 = op(e2,e4),
inference(resolve,[$cnf( $equal(e3,op(e2,op(e2,e2))) )],[refute_17_15,refute_17_21]) ).
cnf(refute_17_23,plain,
( e3 != op(e2,e4)
| op(e2,e4) = e3 ),
inference(subst,[],[refute_17_5:[bind(X,$fot(e3)),bind(Y,$fot(op(e2,e4)))]]) ).
cnf(refute_17_24,plain,
op(e2,e4) = e3,
inference(resolve,[$cnf( $equal(e3,op(e2,e4)) )],[refute_17_22,refute_17_23]) ).
cnf(refute_17_25,plain,
( op(e2,e4) != e0
| op(e2,e4) != e3
| e3 = e0 ),
introduced(tautology,[equality,[$cnf( $equal(op(e2,e4),e0) ),[0],$fot(e3)]]) ).
cnf(refute_17_26,plain,
( op(e2,e4) != e0
| e3 = e0 ),
inference(resolve,[$cnf( $equal(op(e2,e4),e3) )],[refute_17_24,refute_17_25]) ).
cnf(refute_17_27,plain,
( e3 = e0
| op(e2,e0) = e0
| op(e2,e1) = e0
| op(e2,e3) = e0 ),
inference(resolve,[$cnf( $equal(op(e2,e4),e0) )],[refute_17_14,refute_17_26]) ).
cnf(refute_17_28,plain,
e0 != e3,
inference(canonicalize,[],[normalize_17_9]) ).
cnf(refute_17_29,plain,
( e3 != e0
| e0 = e3 ),
inference(subst,[],[refute_17_5:[bind(X,$fot(e3)),bind(Y,$fot(e0))]]) ).
cnf(refute_17_30,plain,
e3 != e0,
inference(resolve,[$cnf( $equal(e0,e3) )],[refute_17_29,refute_17_28]) ).
cnf(refute_17_31,plain,
( op(e2,e0) = e0
| op(e2,e1) = e0
| op(e2,e3) = e0 ),
inference(resolve,[$cnf( $equal(e3,e0) )],[refute_17_27,refute_17_30]) ).
cnf(refute_17_32,plain,
op(e2,unit) = e2,
inference(canonicalize,[],[normalize_17_11]) ).
cnf(refute_17_33,plain,
op(unit,e2) = e2,
inference(canonicalize,[],[normalize_17_12]) ).
cnf(refute_17_34,plain,
op(unit,e0) = e0,
inference(canonicalize,[],[normalize_17_13]) ).
cnf(refute_17_35,plain,
op(unit,e4) = e4,
inference(canonicalize,[],[normalize_17_14]) ).
cnf(refute_17_36,plain,
op(unit,e3) = e3,
inference(canonicalize,[],[normalize_17_15]) ).
cnf(refute_17_37,plain,
( unit = e0
| unit = e1
| unit = e2
| unit = e3
| unit = e4 ),
inference(canonicalize,[],[normalize_17_16]) ).
cnf(refute_17_38,plain,
( op(unit,e3) != e3
| unit != e2
| op(e2,e3) = e3 ),
introduced(tautology,[equality,[$cnf( $equal(op(unit,e3),e3) ),[0,0],$fot(e2)]]) ).
cnf(refute_17_39,plain,
( op(unit,e3) != e3
| op(e2,e3) = e3
| unit = e0
| unit = e1
| unit = e3
| unit = e4 ),
inference(resolve,[$cnf( $equal(unit,e2) )],[refute_17_37,refute_17_38]) ).
cnf(refute_17_40,plain,
( op(e2,e3) = e3
| unit = e0
| unit = e1
| unit = e3
| unit = e4 ),
inference(resolve,[$cnf( $equal(op(unit,e3),e3) )],[refute_17_36,refute_17_39]) ).
cnf(refute_17_41,plain,
op(e2,e3) != op(e2,e4),
inference(canonicalize,[],[normalize_17_18]) ).
cnf(refute_17_42,plain,
( op(e2,e3) != e3
| op(e2,e4) != e3
| op(e2,e3) = op(e2,e4) ),
introduced(tautology,[equality,[$cnf( ~ $equal(op(e2,e3),op(e2,e4)) ),[1],$fot(e3)]]) ).
cnf(refute_17_43,plain,
( op(e2,e3) != e3
| op(e2,e3) = op(e2,e4) ),
inference(resolve,[$cnf( $equal(op(e2,e4),e3) )],[refute_17_24,refute_17_42]) ).
cnf(refute_17_44,plain,
op(e2,e3) != e3,
inference(resolve,[$cnf( $equal(op(e2,e3),op(e2,e4)) )],[refute_17_43,refute_17_41]) ).
cnf(refute_17_45,plain,
( unit = e0
| unit = e1
| unit = e3
| unit = e4 ),
inference(resolve,[$cnf( $equal(op(e2,e3),e3) )],[refute_17_40,refute_17_44]) ).
cnf(refute_17_46,plain,
( op(unit,e4) != e4
| unit != e3
| op(e3,e4) = e4 ),
introduced(tautology,[equality,[$cnf( $equal(op(unit,e4),e4) ),[0,0],$fot(e3)]]) ).
cnf(refute_17_47,plain,
( op(unit,e4) != e4
| op(e3,e4) = e4
| unit = e0
| unit = e1
| unit = e4 ),
inference(resolve,[$cnf( $equal(unit,e3) )],[refute_17_45,refute_17_46]) ).
cnf(refute_17_48,plain,
( op(e3,e4) = e4
| unit = e0
| unit = e1
| unit = e4 ),
inference(resolve,[$cnf( $equal(op(unit,e4),e4) )],[refute_17_35,refute_17_47]) ).
cnf(refute_17_49,plain,
e1 = op(op(e2,op(e2,e2)),op(e2,e2)),
inference(canonicalize,[],[normalize_17_19]) ).
cnf(refute_17_50,plain,
op(e3,op(e2,e2)) = op(e3,op(e2,e2)),
introduced(tautology,[refl,[$fot(op(e3,op(e2,e2)))]]) ).
cnf(refute_17_51,plain,
( op(e2,e2) != e4
| op(e3,op(e2,e2)) != op(e3,op(e2,e2))
| op(e3,op(e2,e2)) = op(e3,e4) ),
introduced(tautology,[equality,[$cnf( $equal(op(e3,op(e2,e2)),op(e3,op(e2,e2))) ),[1,1],$fot(e4)]]) ).
cnf(refute_17_52,plain,
( op(e2,e2) != e4
| op(e3,op(e2,e2)) = op(e3,e4) ),
inference(resolve,[$cnf( $equal(op(e3,op(e2,e2)),op(e3,op(e2,e2))) )],[refute_17_50,refute_17_51]) ).
cnf(refute_17_53,plain,
op(e3,op(e2,e2)) = op(e3,e4),
inference(resolve,[$cnf( $equal(op(e2,e2),e4) )],[refute_17_7,refute_17_52]) ).
cnf(refute_17_54,plain,
( e3 != op(e2,op(e2,e2))
| op(e2,op(e2,e2)) = e3 ),
inference(subst,[],[refute_17_5:[bind(X,$fot(e3)),bind(Y,$fot(op(e2,op(e2,e2))))]]) ).
cnf(refute_17_55,plain,
op(e2,op(e2,e2)) = e3,
inference(resolve,[$cnf( $equal(e3,op(e2,op(e2,e2))) )],[refute_17_15,refute_17_54]) ).
cnf(refute_17_56,plain,
op(op(e2,op(e2,e2)),op(e2,e2)) = op(op(e2,op(e2,e2)),op(e2,e2)),
introduced(tautology,[refl,[$fot(op(op(e2,op(e2,e2)),op(e2,e2)))]]) ).
cnf(refute_17_57,plain,
( op(e2,op(e2,e2)) != e3
| op(op(e2,op(e2,e2)),op(e2,e2)) != op(op(e2,op(e2,e2)),op(e2,e2))
| op(op(e2,op(e2,e2)),op(e2,e2)) = op(e3,op(e2,e2)) ),
introduced(tautology,[equality,[$cnf( $equal(op(op(e2,op(e2,e2)),op(e2,e2)),op(op(e2,op(e2,e2)),op(e2,e2))) ),[1,0],$fot(e3)]]) ).
cnf(refute_17_58,plain,
( op(e2,op(e2,e2)) != e3
| op(op(e2,op(e2,e2)),op(e2,e2)) = op(e3,op(e2,e2)) ),
inference(resolve,[$cnf( $equal(op(op(e2,op(e2,e2)),op(e2,e2)),op(op(e2,op(e2,e2)),op(e2,e2))) )],[refute_17_56,refute_17_57]) ).
cnf(refute_17_59,plain,
op(op(e2,op(e2,e2)),op(e2,e2)) = op(e3,op(e2,e2)),
inference(resolve,[$cnf( $equal(op(e2,op(e2,e2)),e3) )],[refute_17_55,refute_17_58]) ).
cnf(refute_17_60,plain,
( Y != X
| Y != Z
| X = Z ),
introduced(tautology,[equality,[$cnf( $equal(Y,Z) ),[0],$fot(X)]]) ).
cnf(refute_17_61,plain,
( X != Y
| Y != Z
| X = Z ),
inference(resolve,[$cnf( $equal(Y,X) )],[refute_17_5,refute_17_60]) ).
cnf(refute_17_62,plain,
( op(e3,op(e2,e2)) != op(e3,e4)
| op(op(e2,op(e2,e2)),op(e2,e2)) != op(e3,op(e2,e2))
| op(op(e2,op(e2,e2)),op(e2,e2)) = op(e3,e4) ),
inference(subst,[],[refute_17_61:[bind(X,$fot(op(op(e2,op(e2,e2)),op(e2,e2)))),bind(Y,$fot(op(e3,op(e2,e2)))),bind(Z,$fot(op(e3,e4)))]]) ).
cnf(refute_17_63,plain,
( op(e3,op(e2,e2)) != op(e3,e4)
| op(op(e2,op(e2,e2)),op(e2,e2)) = op(e3,e4) ),
inference(resolve,[$cnf( $equal(op(op(e2,op(e2,e2)),op(e2,e2)),op(e3,op(e2,e2))) )],[refute_17_59,refute_17_62]) ).
cnf(refute_17_64,plain,
op(op(e2,op(e2,e2)),op(e2,e2)) = op(e3,e4),
inference(resolve,[$cnf( $equal(op(e3,op(e2,e2)),op(e3,e4)) )],[refute_17_53,refute_17_63]) ).
cnf(refute_17_65,plain,
( e1 != op(op(e2,op(e2,e2)),op(e2,e2))
| op(op(e2,op(e2,e2)),op(e2,e2)) != op(e3,e4)
| e1 = op(e3,e4) ),
introduced(tautology,[equality,[$cnf( ~ $equal(e1,op(e3,e4)) ),[0],$fot(op(op(e2,op(e2,e2)),op(e2,e2)))]]) ).
cnf(refute_17_66,plain,
( e1 != op(op(e2,op(e2,e2)),op(e2,e2))
| e1 = op(e3,e4) ),
inference(resolve,[$cnf( $equal(op(op(e2,op(e2,e2)),op(e2,e2)),op(e3,e4)) )],[refute_17_64,refute_17_65]) ).
cnf(refute_17_67,plain,
e1 = op(e3,e4),
inference(resolve,[$cnf( $equal(e1,op(op(e2,op(e2,e2)),op(e2,e2))) )],[refute_17_49,refute_17_66]) ).
cnf(refute_17_68,plain,
( e1 != op(e3,e4)
| op(e3,e4) = e1 ),
inference(subst,[],[refute_17_5:[bind(X,$fot(e1)),bind(Y,$fot(op(e3,e4)))]]) ).
cnf(refute_17_69,plain,
op(e3,e4) = e1,
inference(resolve,[$cnf( $equal(e1,op(e3,e4)) )],[refute_17_67,refute_17_68]) ).
cnf(refute_17_70,plain,
( op(e3,e4) != e1
| op(e3,e4) != e4
| e1 = e4 ),
introduced(tautology,[equality,[$cnf( $equal(op(e3,e4),e4) ),[0],$fot(e1)]]) ).
cnf(refute_17_71,plain,
( op(e3,e4) != e4
| e1 = e4 ),
inference(resolve,[$cnf( $equal(op(e3,e4),e1) )],[refute_17_69,refute_17_70]) ).
cnf(refute_17_72,plain,
( e1 = e4
| unit = e0
| unit = e1
| unit = e4 ),
inference(resolve,[$cnf( $equal(op(e3,e4),e4) )],[refute_17_48,refute_17_71]) ).
cnf(refute_17_73,plain,
e1 != e4,
inference(canonicalize,[],[normalize_17_20]) ).
cnf(refute_17_74,plain,
( unit = e0
| unit = e1
| unit = e4 ),
inference(resolve,[$cnf( $equal(e1,e4) )],[refute_17_72,refute_17_73]) ).
cnf(refute_17_75,plain,
( op(unit,e0) != e0
| unit != e4
| op(e4,e0) = e0 ),
introduced(tautology,[equality,[$cnf( $equal(op(unit,e0),e0) ),[0,0],$fot(e4)]]) ).
cnf(refute_17_76,plain,
( op(unit,e0) != e0
| op(e4,e0) = e0
| unit = e0
| unit = e1 ),
inference(resolve,[$cnf( $equal(unit,e4) )],[refute_17_74,refute_17_75]) ).
cnf(refute_17_77,plain,
( op(e4,e0) = e0
| unit = e0
| unit = e1 ),
inference(resolve,[$cnf( $equal(op(unit,e0),e0) )],[refute_17_34,refute_17_76]) ).
cnf(refute_17_78,plain,
op(e4,e0) != op(e4,e4),
inference(canonicalize,[],[normalize_17_21]) ).
cnf(refute_17_79,plain,
e0 = op(op(e2,e2),op(e2,e2)),
inference(canonicalize,[],[normalize_17_22]) ).
cnf(refute_17_80,plain,
op(e4,op(e2,e2)) = op(e4,op(e2,e2)),
introduced(tautology,[refl,[$fot(op(e4,op(e2,e2)))]]) ).
cnf(refute_17_81,plain,
( op(e2,e2) != e4
| op(e4,op(e2,e2)) != op(e4,op(e2,e2))
| op(e4,op(e2,e2)) = op(e4,e4) ),
introduced(tautology,[equality,[$cnf( $equal(op(e4,op(e2,e2)),op(e4,op(e2,e2))) ),[1,1],$fot(e4)]]) ).
cnf(refute_17_82,plain,
( op(e2,e2) != e4
| op(e4,op(e2,e2)) = op(e4,e4) ),
inference(resolve,[$cnf( $equal(op(e4,op(e2,e2)),op(e4,op(e2,e2))) )],[refute_17_80,refute_17_81]) ).
cnf(refute_17_83,plain,
op(e4,op(e2,e2)) = op(e4,e4),
inference(resolve,[$cnf( $equal(op(e2,e2),e4) )],[refute_17_7,refute_17_82]) ).
cnf(refute_17_84,plain,
op(op(e2,e2),op(e2,e2)) = op(op(e2,e2),op(e2,e2)),
introduced(tautology,[refl,[$fot(op(op(e2,e2),op(e2,e2)))]]) ).
cnf(refute_17_85,plain,
( op(e2,e2) != e4
| op(op(e2,e2),op(e2,e2)) != op(op(e2,e2),op(e2,e2))
| op(op(e2,e2),op(e2,e2)) = op(e4,op(e2,e2)) ),
introduced(tautology,[equality,[$cnf( $equal(op(op(e2,e2),op(e2,e2)),op(op(e2,e2),op(e2,e2))) ),[1,0],$fot(e4)]]) ).
cnf(refute_17_86,plain,
( op(e2,e2) != e4
| op(op(e2,e2),op(e2,e2)) = op(e4,op(e2,e2)) ),
inference(resolve,[$cnf( $equal(op(op(e2,e2),op(e2,e2)),op(op(e2,e2),op(e2,e2))) )],[refute_17_84,refute_17_85]) ).
cnf(refute_17_87,plain,
op(op(e2,e2),op(e2,e2)) = op(e4,op(e2,e2)),
inference(resolve,[$cnf( $equal(op(e2,e2),e4) )],[refute_17_7,refute_17_86]) ).
cnf(refute_17_88,plain,
( op(e4,op(e2,e2)) != op(e4,e4)
| op(op(e2,e2),op(e2,e2)) != op(e4,op(e2,e2))
| op(op(e2,e2),op(e2,e2)) = op(e4,e4) ),
inference(subst,[],[refute_17_61:[bind(X,$fot(op(op(e2,e2),op(e2,e2)))),bind(Y,$fot(op(e4,op(e2,e2)))),bind(Z,$fot(op(e4,e4)))]]) ).
cnf(refute_17_89,plain,
( op(e4,op(e2,e2)) != op(e4,e4)
| op(op(e2,e2),op(e2,e2)) = op(e4,e4) ),
inference(resolve,[$cnf( $equal(op(op(e2,e2),op(e2,e2)),op(e4,op(e2,e2))) )],[refute_17_87,refute_17_88]) ).
cnf(refute_17_90,plain,
op(op(e2,e2),op(e2,e2)) = op(e4,e4),
inference(resolve,[$cnf( $equal(op(e4,op(e2,e2)),op(e4,e4)) )],[refute_17_83,refute_17_89]) ).
cnf(refute_17_91,plain,
( e0 != op(op(e2,e2),op(e2,e2))
| op(op(e2,e2),op(e2,e2)) != op(e4,e4)
| e0 = op(e4,e4) ),
introduced(tautology,[equality,[$cnf( ~ $equal(e0,op(e4,e4)) ),[0],$fot(op(op(e2,e2),op(e2,e2)))]]) ).
cnf(refute_17_92,plain,
( e0 != op(op(e2,e2),op(e2,e2))
| e0 = op(e4,e4) ),
inference(resolve,[$cnf( $equal(op(op(e2,e2),op(e2,e2)),op(e4,e4)) )],[refute_17_90,refute_17_91]) ).
cnf(refute_17_93,plain,
e0 = op(e4,e4),
inference(resolve,[$cnf( $equal(e0,op(op(e2,e2),op(e2,e2))) )],[refute_17_79,refute_17_92]) ).
cnf(refute_17_94,plain,
( e0 != op(e4,e4)
| op(e4,e4) = e0 ),
inference(subst,[],[refute_17_5:[bind(X,$fot(e0)),bind(Y,$fot(op(e4,e4)))]]) ).
cnf(refute_17_95,plain,
op(e4,e4) = e0,
inference(resolve,[$cnf( $equal(e0,op(e4,e4)) )],[refute_17_93,refute_17_94]) ).
cnf(refute_17_96,plain,
( op(e4,e0) != e0
| op(e4,e4) != e0
| op(e4,e0) = op(e4,e4) ),
introduced(tautology,[equality,[$cnf( ~ $equal(op(e4,e0),op(e4,e4)) ),[1],$fot(e0)]]) ).
cnf(refute_17_97,plain,
( op(e4,e0) != e0
| op(e4,e0) = op(e4,e4) ),
inference(resolve,[$cnf( $equal(op(e4,e4),e0) )],[refute_17_95,refute_17_96]) ).
cnf(refute_17_98,plain,
op(e4,e0) != e0,
inference(resolve,[$cnf( $equal(op(e4,e0),op(e4,e4)) )],[refute_17_97,refute_17_78]) ).
cnf(refute_17_99,plain,
( unit = e0
| unit = e1 ),
inference(resolve,[$cnf( $equal(op(e4,e0),e0) )],[refute_17_77,refute_17_98]) ).
cnf(refute_17_100,plain,
( op(unit,e2) != e2
| unit != e0
| op(e0,e2) = e2 ),
introduced(tautology,[equality,[$cnf( $equal(op(unit,e2),e2) ),[0,0],$fot(e0)]]) ).
cnf(refute_17_101,plain,
( op(unit,e2) != e2
| op(e0,e2) = e2
| unit = e1 ),
inference(resolve,[$cnf( $equal(unit,e0) )],[refute_17_99,refute_17_100]) ).
cnf(refute_17_102,plain,
( op(e0,e2) = e2
| unit = e1 ),
inference(resolve,[$cnf( $equal(op(unit,e2),e2) )],[refute_17_33,refute_17_101]) ).
cnf(refute_17_103,plain,
op(op(e3,e2),e2) = e3,
inference(canonicalize,[],[normalize_17_23]) ).
cnf(refute_17_104,plain,
op(e3,e0) != op(e3,e2),
inference(canonicalize,[],[normalize_17_24]) ).
cnf(refute_17_105,plain,
( op(e3,e2) = e0
| op(e3,e2) = e1
| op(e3,e2) = e2
| op(e3,e2) = e3
| op(e3,e2) = e4 ),
inference(canonicalize,[],[normalize_17_26]) ).
cnf(refute_17_106,plain,
op(e2,e2) != op(e3,e2),
inference(canonicalize,[],[normalize_17_27]) ).
cnf(refute_17_107,plain,
( e4 != op(e3,e2)
| op(e2,e2) != e4
| op(e2,e2) = op(e3,e2) ),
introduced(tautology,[equality,[$cnf( $equal(op(e2,e2),e4) ),[1],$fot(op(e3,e2))]]) ).
cnf(refute_17_108,plain,
( e4 != op(e3,e2)
| op(e2,e2) = op(e3,e2) ),
inference(resolve,[$cnf( $equal(op(e2,e2),e4) )],[refute_17_7,refute_17_107]) ).
cnf(refute_17_109,plain,
e4 != op(e3,e2),
inference(resolve,[$cnf( $equal(op(e2,e2),op(e3,e2)) )],[refute_17_108,refute_17_106]) ).
cnf(refute_17_110,plain,
( op(e3,e2) != e4
| e4 = op(e3,e2) ),
inference(subst,[],[refute_17_5:[bind(X,$fot(op(e3,e2))),bind(Y,$fot(e4))]]) ).
cnf(refute_17_111,plain,
op(e3,e2) != e4,
inference(resolve,[$cnf( $equal(e4,op(e3,e2)) )],[refute_17_110,refute_17_109]) ).
cnf(refute_17_112,plain,
( op(e3,e2) = e0
| op(e3,e2) = e1
| op(e3,e2) = e2
| op(e3,e2) = e3 ),
inference(resolve,[$cnf( $equal(op(e3,e2),e4) )],[refute_17_105,refute_17_111]) ).
cnf(refute_17_113,plain,
op(e3,e2) != op(e3,e4),
inference(canonicalize,[],[normalize_17_28]) ).
cnf(refute_17_114,plain,
( op(e3,e2) != e1
| op(e3,e4) != e1
| op(e3,e2) = op(e3,e4) ),
introduced(tautology,[equality,[$cnf( ~ $equal(op(e3,e2),op(e3,e4)) ),[1],$fot(e1)]]) ).
cnf(refute_17_115,plain,
( op(e3,e2) != e1
| op(e3,e2) = op(e3,e4) ),
inference(resolve,[$cnf( $equal(op(e3,e4),e1) )],[refute_17_69,refute_17_114]) ).
cnf(refute_17_116,plain,
op(e3,e2) != e1,
inference(resolve,[$cnf( $equal(op(e3,e2),op(e3,e4)) )],[refute_17_115,refute_17_113]) ).
cnf(refute_17_117,plain,
( op(e3,e2) = e0
| op(e3,e2) = e2
| op(e3,e2) = e3 ),
inference(resolve,[$cnf( $equal(op(e3,e2),e1) )],[refute_17_112,refute_17_116]) ).
cnf(refute_17_118,plain,
( op(e3,e2) != e2
| op(op(e3,e2),e2) != e3
| op(e2,e2) = e3 ),
introduced(tautology,[equality,[$cnf( $equal(op(op(e3,e2),e2),e3) ),[0,0],$fot(e2)]]) ).
cnf(refute_17_119,plain,
( op(op(e3,e2),e2) != e3
| op(e2,e2) = e3
| op(e3,e2) = e0
| op(e3,e2) = e3 ),
inference(resolve,[$cnf( $equal(op(e3,e2),e2) )],[refute_17_117,refute_17_118]) ).
cnf(refute_17_120,plain,
( op(e2,e2) = e3
| op(e3,e2) = e0
| op(e3,e2) = e3 ),
inference(resolve,[$cnf( $equal(op(op(e3,e2),e2),e3) )],[refute_17_103,refute_17_119]) ).
cnf(refute_17_121,plain,
( op(e2,e2) != e3
| op(e2,e2) != e4
| e4 = e3 ),
introduced(tautology,[equality,[$cnf( $equal(op(e2,e2),e3) ),[0],$fot(e4)]]) ).
cnf(refute_17_122,plain,
( op(e2,e2) != e3
| e4 = e3 ),
inference(resolve,[$cnf( $equal(op(e2,e2),e4) )],[refute_17_7,refute_17_121]) ).
cnf(refute_17_123,plain,
( e4 = e3
| op(e3,e2) = e0
| op(e3,e2) = e3 ),
inference(resolve,[$cnf( $equal(op(e2,e2),e3) )],[refute_17_120,refute_17_122]) ).
cnf(refute_17_124,plain,
e3 != e4,
inference(canonicalize,[],[normalize_17_29]) ).
cnf(refute_17_125,plain,
( e4 != e3
| e3 = e4 ),
inference(subst,[],[refute_17_5:[bind(X,$fot(e4)),bind(Y,$fot(e3))]]) ).
cnf(refute_17_126,plain,
e4 != e3,
inference(resolve,[$cnf( $equal(e3,e4) )],[refute_17_125,refute_17_124]) ).
cnf(refute_17_127,plain,
( op(e3,e2) = e0
| op(e3,e2) = e3 ),
inference(resolve,[$cnf( $equal(e4,e3) )],[refute_17_123,refute_17_126]) ).
cnf(refute_17_128,plain,
( op(e3,e0) != e3
| op(e3,e2) != e3
| op(e3,e0) = op(e3,e2) ),
introduced(tautology,[equality,[$cnf( ~ $equal(op(e3,e0),op(e3,e2)) ),[1],$fot(e3)]]) ).
cnf(refute_17_129,plain,
( op(e3,e0) != e3
| op(e3,e0) = op(e3,e2)
| op(e3,e2) = e0 ),
inference(resolve,[$cnf( $equal(op(e3,e2),e3) )],[refute_17_127,refute_17_128]) ).
cnf(refute_17_130,plain,
( op(e3,e0) != e3
| op(e3,e2) = e0 ),
inference(resolve,[$cnf( $equal(op(e3,e0),op(e3,e2)) )],[refute_17_129,refute_17_104]) ).
cnf(refute_17_131,plain,
op(e3,unit) = e3,
inference(canonicalize,[],[normalize_17_30]) ).
cnf(refute_17_132,plain,
( op(e3,unit) != e3
| unit != e0
| op(e3,e0) = e3 ),
introduced(tautology,[equality,[$cnf( $equal(op(e3,unit),e3) ),[0,1],$fot(e0)]]) ).
cnf(refute_17_133,plain,
( op(e3,unit) != e3
| op(e3,e0) = e3
| unit = e1 ),
inference(resolve,[$cnf( $equal(unit,e0) )],[refute_17_99,refute_17_132]) ).
cnf(refute_17_134,plain,
( op(e3,e0) = e3
| unit = e1 ),
inference(resolve,[$cnf( $equal(op(e3,unit),e3) )],[refute_17_131,refute_17_133]) ).
cnf(refute_17_135,plain,
( e3 != e3
| op(e3,e0) != e3
| op(e3,e0) = e3 ),
introduced(tautology,[equality,[$cnf( $equal(op(e3,e0),e3) ),[0,0],$fot(e3)]]) ).
cnf(refute_17_136,plain,
( e3 != e3
| op(e3,e0) = e3
| unit = e1 ),
inference(resolve,[$cnf( $equal(op(e3,e0),e3) )],[refute_17_134,refute_17_135]) ).
cnf(refute_17_137,plain,
( e3 != e3
| op(e3,e2) = e0
| unit = e1 ),
inference(resolve,[$cnf( $equal(op(e3,e0),e3) )],[refute_17_136,refute_17_130]) ).
cnf(refute_17_138,plain,
e3 = e3,
introduced(tautology,[refl,[$fot(e3)]]) ).
cnf(refute_17_139,plain,
( op(e3,e2) = e0
| unit = e1 ),
inference(resolve,[$cnf( $equal(e3,e3) )],[refute_17_138,refute_17_137]) ).
cnf(refute_17_140,plain,
( op(e3,e2) != e0
| op(op(e3,e2),e2) != e3
| op(e0,e2) = e3 ),
introduced(tautology,[equality,[$cnf( $equal(op(op(e3,e2),e2),e3) ),[0,0],$fot(e0)]]) ).
cnf(refute_17_141,plain,
( op(op(e3,e2),e2) != e3
| op(e0,e2) = e3
| unit = e1 ),
inference(resolve,[$cnf( $equal(op(e3,e2),e0) )],[refute_17_139,refute_17_140]) ).
cnf(refute_17_142,plain,
( op(e0,e2) = e3
| unit = e1 ),
inference(resolve,[$cnf( $equal(op(op(e3,e2),e2),e3) )],[refute_17_103,refute_17_141]) ).
cnf(refute_17_143,plain,
( op(e0,e2) != e2
| op(e0,e2) != e3
| e3 = e2 ),
introduced(tautology,[equality,[$cnf( $equal(op(e0,e2),e2) ),[0],$fot(e3)]]) ).
cnf(refute_17_144,plain,
( op(e0,e2) != e2
| e3 = e2
| unit = e1 ),
inference(resolve,[$cnf( $equal(op(e0,e2),e3) )],[refute_17_142,refute_17_143]) ).
cnf(refute_17_145,plain,
( e3 = e2
| unit = e1 ),
inference(resolve,[$cnf( $equal(op(e0,e2),e2) )],[refute_17_102,refute_17_144]) ).
cnf(refute_17_146,plain,
e2 != e3,
inference(canonicalize,[],[normalize_17_31]) ).
cnf(refute_17_147,plain,
( e3 != e2
| e2 = e3 ),
inference(subst,[],[refute_17_5:[bind(X,$fot(e3)),bind(Y,$fot(e2))]]) ).
cnf(refute_17_148,plain,
e3 != e2,
inference(resolve,[$cnf( $equal(e2,e3) )],[refute_17_147,refute_17_146]) ).
cnf(refute_17_149,plain,
unit = e1,
inference(resolve,[$cnf( $equal(e3,e2) )],[refute_17_145,refute_17_148]) ).
cnf(refute_17_150,plain,
op(e2,unit) = op(e2,unit),
introduced(tautology,[refl,[$fot(op(e2,unit))]]) ).
cnf(refute_17_151,plain,
( op(e2,unit) != op(e2,unit)
| unit != e1
| op(e2,unit) = op(e2,e1) ),
introduced(tautology,[equality,[$cnf( $equal(op(e2,unit),op(e2,unit)) ),[1,1],$fot(e1)]]) ).
cnf(refute_17_152,plain,
( unit != e1
| op(e2,unit) = op(e2,e1) ),
inference(resolve,[$cnf( $equal(op(e2,unit),op(e2,unit)) )],[refute_17_150,refute_17_151]) ).
cnf(refute_17_153,plain,
op(e2,unit) = op(e2,e1),
inference(resolve,[$cnf( $equal(unit,e1) )],[refute_17_149,refute_17_152]) ).
cnf(refute_17_154,plain,
( op(e2,unit) != e2
| op(e2,unit) != op(e2,e1)
| op(e2,e1) = e2 ),
introduced(tautology,[equality,[$cnf( $equal(op(e2,unit),e2) ),[0],$fot(op(e2,e1))]]) ).
cnf(refute_17_155,plain,
( op(e2,unit) != e2
| op(e2,e1) = e2 ),
inference(resolve,[$cnf( $equal(op(e2,unit),op(e2,e1)) )],[refute_17_153,refute_17_154]) ).
cnf(refute_17_156,plain,
op(e2,e1) = e2,
inference(resolve,[$cnf( $equal(op(e2,unit),e2) )],[refute_17_32,refute_17_155]) ).
cnf(refute_17_157,plain,
( op(e2,e1) != e0
| op(e2,e1) != e2
| e2 = e0 ),
introduced(tautology,[equality,[$cnf( $equal(op(e2,e1),e0) ),[0],$fot(e2)]]) ).
cnf(refute_17_158,plain,
( op(e2,e1) != e0
| e2 = e0 ),
inference(resolve,[$cnf( $equal(op(e2,e1),e2) )],[refute_17_156,refute_17_157]) ).
cnf(refute_17_159,plain,
( e2 = e0
| op(e2,e0) = e0
| op(e2,e3) = e0 ),
inference(resolve,[$cnf( $equal(op(e2,e1),e0) )],[refute_17_31,refute_17_158]) ).
cnf(refute_17_160,plain,
e0 != e2,
inference(canonicalize,[],[normalize_17_32]) ).
cnf(refute_17_161,plain,
( e2 != e0
| e0 = e2 ),
inference(subst,[],[refute_17_5:[bind(X,$fot(e2)),bind(Y,$fot(e0))]]) ).
cnf(refute_17_162,plain,
e2 != e0,
inference(resolve,[$cnf( $equal(e0,e2) )],[refute_17_161,refute_17_160]) ).
cnf(refute_17_163,plain,
( op(e2,e0) = e0
| op(e2,e3) = e0 ),
inference(resolve,[$cnf( $equal(e2,e0) )],[refute_17_159,refute_17_162]) ).
cnf(refute_17_164,plain,
op(e1,e0) != op(e2,e0),
inference(canonicalize,[],[normalize_17_33]) ).
cnf(refute_17_165,plain,
op(unit,e0) = op(unit,e0),
introduced(tautology,[refl,[$fot(op(unit,e0))]]) ).
cnf(refute_17_166,plain,
( op(unit,e0) != op(unit,e0)
| unit != e1
| op(unit,e0) = op(e1,e0) ),
introduced(tautology,[equality,[$cnf( $equal(op(unit,e0),op(unit,e0)) ),[1,0],$fot(e1)]]) ).
cnf(refute_17_167,plain,
( unit != e1
| op(unit,e0) = op(e1,e0) ),
inference(resolve,[$cnf( $equal(op(unit,e0),op(unit,e0)) )],[refute_17_165,refute_17_166]) ).
cnf(refute_17_168,plain,
op(unit,e0) = op(e1,e0),
inference(resolve,[$cnf( $equal(unit,e1) )],[refute_17_149,refute_17_167]) ).
cnf(refute_17_169,plain,
( op(unit,e0) != e0
| op(unit,e0) != op(e1,e0)
| op(e1,e0) = e0 ),
introduced(tautology,[equality,[$cnf( $equal(op(unit,e0),e0) ),[0],$fot(op(e1,e0))]]) ).
cnf(refute_17_170,plain,
( op(unit,e0) != e0
| op(e1,e0) = e0 ),
inference(resolve,[$cnf( $equal(op(unit,e0),op(e1,e0)) )],[refute_17_168,refute_17_169]) ).
cnf(refute_17_171,plain,
op(e1,e0) = e0,
inference(resolve,[$cnf( $equal(op(unit,e0),e0) )],[refute_17_34,refute_17_170]) ).
cnf(refute_17_172,plain,
( e0 != op(e2,e0)
| op(e1,e0) != e0
| op(e1,e0) = op(e2,e0) ),
introduced(tautology,[equality,[$cnf( $equal(op(e1,e0),e0) ),[1],$fot(op(e2,e0))]]) ).
cnf(refute_17_173,plain,
( e0 != op(e2,e0)
| op(e1,e0) = op(e2,e0) ),
inference(resolve,[$cnf( $equal(op(e1,e0),e0) )],[refute_17_171,refute_17_172]) ).
cnf(refute_17_174,plain,
e0 != op(e2,e0),
inference(resolve,[$cnf( $equal(op(e1,e0),op(e2,e0)) )],[refute_17_173,refute_17_164]) ).
cnf(refute_17_175,plain,
( op(e2,e0) != e0
| e0 = op(e2,e0) ),
inference(subst,[],[refute_17_5:[bind(X,$fot(op(e2,e0))),bind(Y,$fot(e0))]]) ).
cnf(refute_17_176,plain,
op(e2,e0) != e0,
inference(resolve,[$cnf( $equal(e0,op(e2,e0)) )],[refute_17_175,refute_17_174]) ).
cnf(refute_17_177,plain,
op(e2,e3) = e0,
inference(resolve,[$cnf( $equal(op(e2,e0),e0) )],[refute_17_163,refute_17_176]) ).
cnf(refute_17_178,plain,
( e0 != op(e3,e2)
| op(e2,e3) != e0
| op(e2,e3) = op(e3,e2) ),
introduced(tautology,[equality,[$cnf( $equal(op(e2,e3),e0) ),[1],$fot(op(e3,e2))]]) ).
cnf(refute_17_179,plain,
( e0 != op(e3,e2)
| op(e2,e3) = op(e3,e2) ),
inference(resolve,[$cnf( $equal(op(e2,e3),e0) )],[refute_17_177,refute_17_178]) ).
cnf(refute_17_180,plain,
( op(e0,e2) = e0
| op(e1,e2) = e0
| op(e2,e2) = e0
| op(e3,e2) = e0
| op(e4,e2) = e0 ),
inference(canonicalize,[],[normalize_17_34]) ).
cnf(refute_17_181,plain,
( e4 = e0
| op(e0,e2) = e0
| op(e1,e2) = e0
| op(e3,e2) = e0
| op(e4,e2) = e0 ),
inference(resolve,[$cnf( $equal(op(e2,e2),e0) )],[refute_17_180,refute_17_9]) ).
cnf(refute_17_182,plain,
( op(e0,e2) = e0
| op(e1,e2) = e0
| op(e3,e2) = e0
| op(e4,e2) = e0 ),
inference(resolve,[$cnf( $equal(e4,e0) )],[refute_17_181,refute_17_13]) ).
cnf(refute_17_183,plain,
op(e4,e2) != op(e4,e4),
inference(canonicalize,[],[normalize_17_35]) ).
cnf(refute_17_184,plain,
( op(e4,e2) != e0
| op(e4,e4) != e0
| op(e4,e2) = op(e4,e4) ),
introduced(tautology,[equality,[$cnf( ~ $equal(op(e4,e2),op(e4,e4)) ),[1],$fot(e0)]]) ).
cnf(refute_17_185,plain,
( op(e4,e2) != e0
| op(e4,e2) = op(e4,e4) ),
inference(resolve,[$cnf( $equal(op(e4,e4),e0) )],[refute_17_95,refute_17_184]) ).
cnf(refute_17_186,plain,
op(e4,e2) != e0,
inference(resolve,[$cnf( $equal(op(e4,e2),op(e4,e4)) )],[refute_17_185,refute_17_183]) ).
cnf(refute_17_187,plain,
( op(e0,e2) = e0
| op(e1,e2) = e0
| op(e3,e2) = e0 ),
inference(resolve,[$cnf( $equal(op(e4,e2),e0) )],[refute_17_182,refute_17_186]) ).
cnf(refute_17_188,plain,
op(unit,e2) = op(unit,e2),
introduced(tautology,[refl,[$fot(op(unit,e2))]]) ).
cnf(refute_17_189,plain,
( op(unit,e2) != op(unit,e2)
| unit != e1
| op(unit,e2) = op(e1,e2) ),
introduced(tautology,[equality,[$cnf( $equal(op(unit,e2),op(unit,e2)) ),[1,0],$fot(e1)]]) ).
cnf(refute_17_190,plain,
( unit != e1
| op(unit,e2) = op(e1,e2) ),
inference(resolve,[$cnf( $equal(op(unit,e2),op(unit,e2)) )],[refute_17_188,refute_17_189]) ).
cnf(refute_17_191,plain,
op(unit,e2) = op(e1,e2),
inference(resolve,[$cnf( $equal(unit,e1) )],[refute_17_149,refute_17_190]) ).
cnf(refute_17_192,plain,
( op(unit,e2) != e2
| op(unit,e2) != op(e1,e2)
| op(e1,e2) = e2 ),
introduced(tautology,[equality,[$cnf( $equal(op(unit,e2),e2) ),[0],$fot(op(e1,e2))]]) ).
cnf(refute_17_193,plain,
( op(unit,e2) != e2
| op(e1,e2) = e2 ),
inference(resolve,[$cnf( $equal(op(unit,e2),op(e1,e2)) )],[refute_17_191,refute_17_192]) ).
cnf(refute_17_194,plain,
op(e1,e2) = e2,
inference(resolve,[$cnf( $equal(op(unit,e2),e2) )],[refute_17_33,refute_17_193]) ).
cnf(refute_17_195,plain,
( op(e1,e2) != e0
| op(e1,e2) != e2
| e2 = e0 ),
introduced(tautology,[equality,[$cnf( $equal(op(e1,e2),e0) ),[0],$fot(e2)]]) ).
cnf(refute_17_196,plain,
( op(e1,e2) != e0
| e2 = e0 ),
inference(resolve,[$cnf( $equal(op(e1,e2),e2) )],[refute_17_194,refute_17_195]) ).
cnf(refute_17_197,plain,
( e2 = e0
| op(e0,e2) = e0
| op(e3,e2) = e0 ),
inference(resolve,[$cnf( $equal(op(e1,e2),e0) )],[refute_17_187,refute_17_196]) ).
cnf(refute_17_198,plain,
( op(e0,e2) = e0
| op(e3,e2) = e0 ),
inference(resolve,[$cnf( $equal(e2,e0) )],[refute_17_197,refute_17_162]) ).
cnf(refute_17_199,plain,
op(e0,e1) != op(e0,e2),
inference(canonicalize,[],[normalize_17_36]) ).
cnf(refute_17_200,plain,
op(e0,unit) = e0,
inference(canonicalize,[],[normalize_17_37]) ).
cnf(refute_17_201,plain,
op(e0,unit) = op(e0,unit),
introduced(tautology,[refl,[$fot(op(e0,unit))]]) ).
cnf(refute_17_202,plain,
( op(e0,unit) != op(e0,unit)
| unit != e1
| op(e0,unit) = op(e0,e1) ),
introduced(tautology,[equality,[$cnf( $equal(op(e0,unit),op(e0,unit)) ),[1,1],$fot(e1)]]) ).
cnf(refute_17_203,plain,
( unit != e1
| op(e0,unit) = op(e0,e1) ),
inference(resolve,[$cnf( $equal(op(e0,unit),op(e0,unit)) )],[refute_17_201,refute_17_202]) ).
cnf(refute_17_204,plain,
op(e0,unit) = op(e0,e1),
inference(resolve,[$cnf( $equal(unit,e1) )],[refute_17_149,refute_17_203]) ).
cnf(refute_17_205,plain,
( op(e0,unit) != e0
| op(e0,unit) != op(e0,e1)
| op(e0,e1) = e0 ),
introduced(tautology,[equality,[$cnf( $equal(op(e0,unit),e0) ),[0],$fot(op(e0,e1))]]) ).
cnf(refute_17_206,plain,
( op(e0,unit) != e0
| op(e0,e1) = e0 ),
inference(resolve,[$cnf( $equal(op(e0,unit),op(e0,e1)) )],[refute_17_204,refute_17_205]) ).
cnf(refute_17_207,plain,
op(e0,e1) = e0,
inference(resolve,[$cnf( $equal(op(e0,unit),e0) )],[refute_17_200,refute_17_206]) ).
cnf(refute_17_208,plain,
( e0 != op(e0,e2)
| op(e0,e1) != e0
| op(e0,e1) = op(e0,e2) ),
introduced(tautology,[equality,[$cnf( $equal(op(e0,e1),e0) ),[1],$fot(op(e0,e2))]]) ).
cnf(refute_17_209,plain,
( e0 != op(e0,e2)
| op(e0,e1) = op(e0,e2) ),
inference(resolve,[$cnf( $equal(op(e0,e1),e0) )],[refute_17_207,refute_17_208]) ).
cnf(refute_17_210,plain,
e0 != op(e0,e2),
inference(resolve,[$cnf( $equal(op(e0,e1),op(e0,e2)) )],[refute_17_209,refute_17_199]) ).
cnf(refute_17_211,plain,
( op(e0,e2) != e0
| e0 = op(e0,e2) ),
inference(subst,[],[refute_17_5:[bind(X,$fot(op(e0,e2))),bind(Y,$fot(e0))]]) ).
cnf(refute_17_212,plain,
op(e0,e2) != e0,
inference(resolve,[$cnf( $equal(e0,op(e0,e2)) )],[refute_17_211,refute_17_210]) ).
cnf(refute_17_213,plain,
op(e3,e2) = e0,
inference(resolve,[$cnf( $equal(op(e0,e2),e0) )],[refute_17_198,refute_17_212]) ).
cnf(refute_17_214,plain,
( e0 != e0
| op(e3,e2) != e0
| e0 = op(e3,e2) ),
introduced(tautology,[equality,[$cnf( ~ $equal(e0,op(e3,e2)) ),[1],$fot(e0)]]) ).
cnf(refute_17_215,plain,
( e0 != e0
| e0 = op(e3,e2) ),
inference(resolve,[$cnf( $equal(op(e3,e2),e0) )],[refute_17_213,refute_17_214]) ).
cnf(refute_17_216,plain,
( e0 != e0
| op(e2,e3) = op(e3,e2) ),
inference(resolve,[$cnf( $equal(e0,op(e3,e2)) )],[refute_17_215,refute_17_179]) ).
cnf(refute_17_217,plain,
e0 != e0,
inference(resolve,[$cnf( $equal(op(e2,e3),op(e3,e2)) )],[refute_17_216,refute_17_0]) ).
cnf(refute_17_218,plain,
e0 = e0,
introduced(tautology,[refl,[$fot(e0)]]) ).
cnf(refute_17_219,plain,
$false,
inference(resolve,[$cnf( $equal(e0,e0) )],[refute_17_218,refute_17_217]) ).
fof(negate_18_0,plain,
~ ( ( ( ( op(e0,op(e0,e0)) != e0
& op(e0,op(e0,e0)) = e0 )
| ( op(e1,op(e1,e0)) != e0
& op(e0,op(e1,e0)) = e1 )
| ( op(e2,op(e2,e0)) != e0
& op(e0,op(e2,e0)) = e2 )
| ( op(e3,op(e3,e0)) != e0
& op(e0,op(e3,e0)) = e3 )
| ( op(e4,op(e4,e0)) != e0
& op(e0,op(e4,e0)) = e4 ) )
& ( ( op(e0,op(e0,e1)) != e1
& op(e1,op(e0,e1)) = e0 )
| ( op(e1,op(e1,e1)) != e1
& op(e1,op(e1,e1)) = e1 )
| ( op(e2,op(e2,e1)) != e1
& op(e1,op(e2,e1)) = e2 )
| ( op(e3,op(e3,e1)) != e1
& op(e1,op(e3,e1)) = e3 )
| ( op(e4,op(e4,e1)) != e1
& op(e1,op(e4,e1)) = e4 ) )
& ( ( op(e0,op(e0,e2)) != e2
& op(e2,op(e0,e2)) = e0 )
| ( op(e1,op(e1,e2)) != e2
& op(e2,op(e1,e2)) = e1 )
| ( op(e2,op(e2,e2)) != e2
& op(e2,op(e2,e2)) = e2 )
| ( op(e3,op(e3,e2)) != e2
& op(e2,op(e3,e2)) = e3 )
| ( op(e4,op(e4,e2)) != e2
& op(e2,op(e4,e2)) = e4 ) )
& ( ( op(e0,op(e0,e3)) != e3
& op(e3,op(e0,e3)) = e0 )
| ( op(e1,op(e1,e3)) != e3
& op(e3,op(e1,e3)) = e1 )
| ( op(e2,op(e2,e3)) != e3
& op(e3,op(e2,e3)) = e2 )
| ( op(e3,op(e3,e3)) != e3
& op(e3,op(e3,e3)) = e3 )
| ( op(e4,op(e4,e3)) != e3
& op(e3,op(e4,e3)) = e4 ) )
& ( ( op(e0,op(e0,e4)) != e4
& op(e4,op(e0,e4)) = e0 )
| ( op(e1,op(e1,e4)) != e4
& op(e4,op(e1,e4)) = e1 )
| ( op(e2,op(e2,e4)) != e4
& op(e4,op(e2,e4)) = e2 )
| ( op(e3,op(e3,e4)) != e4
& op(e4,op(e3,e4)) = e3 )
| ( op(e4,op(e4,e4)) != e4
& op(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,op(e0,e0)) != e0
& op(e0,op(e0,e0)) = e0 )
| ( op(e1,op(e1,e0)) != e0
& op(e0,op(e1,e0)) = e1 )
| ( op(e2,op(e2,e0)) != e0
& op(e0,op(e2,e0)) = e2 )
| ( op(e3,op(e3,e0)) != e0
& op(e0,op(e3,e0)) = e3 )
| ( op(e4,op(e4,e0)) != e0
& op(e0,op(e4,e0)) = e4 ) )
& ( ( op(e0,op(e0,e1)) != e1
& op(e1,op(e0,e1)) = e0 )
| ( op(e1,op(e1,e1)) != e1
& op(e1,op(e1,e1)) = e1 )
| ( op(e2,op(e2,e1)) != e1
& op(e1,op(e2,e1)) = e2 )
| ( op(e3,op(e3,e1)) != e1
& op(e1,op(e3,e1)) = e3 )
| ( op(e4,op(e4,e1)) != e1
& op(e1,op(e4,e1)) = e4 ) )
& ( ( op(e0,op(e0,e2)) != e2
& op(e2,op(e0,e2)) = e0 )
| ( op(e1,op(e1,e2)) != e2
& op(e2,op(e1,e2)) = e1 )
| ( op(e2,op(e2,e2)) != e2
& op(e2,op(e2,e2)) = e2 )
| ( op(e3,op(e3,e2)) != e2
& op(e2,op(e3,e2)) = e3 )
| ( op(e4,op(e4,e2)) != e2
& op(e2,op(e4,e2)) = e4 ) )
& ( ( op(e0,op(e0,e3)) != e3
& op(e3,op(e0,e3)) = e0 )
| ( op(e1,op(e1,e3)) != e3
& op(e3,op(e1,e3)) = e1 )
| ( op(e2,op(e2,e3)) != e3
& op(e3,op(e2,e3)) = e2 )
| ( op(e3,op(e3,e3)) != e3
& op(e3,op(e3,e3)) = e3 )
| ( op(e4,op(e4,e3)) != e3
& op(e3,op(e4,e3)) = e4 ) )
& ( ( op(e0,op(e0,e4)) != e4
& op(e4,op(e0,e4)) = e0 )
| ( op(e1,op(e1,e4)) != e4
& op(e4,op(e1,e4)) = e1 )
| ( op(e2,op(e2,e4)) != e4
& op(e4,op(e2,e4)) = e2 )
| ( op(e3,op(e3,e4)) != e4
& op(e4,op(e3,e4)) = e3 )
| ( op(e4,op(e4,e4)) != e4
& op(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) != 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_1,plain,
op(e1,e4) != op(e2,e4),
inference(conjunct,[],[normalize_19_0]) ).
fof(normalize_19_2,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,op(e0,e1)) != e1
& op(e1,op(e0,e1)) = e0 )
| ( op(e2,op(e2,e1)) != e1
& op(e1,op(e2,e1)) = e2 )
| ( op(e3,op(e3,e1)) != e1
& op(e1,op(e3,e1)) = e3 )
| ( op(e4,op(e4,e1)) != e1
& op(e1,op(e4,e1)) = e4 ) )
& ( ( op(e0,op(e0,e2)) != e2
& op(e2,op(e0,e2)) = e0 )
| ( op(e1,op(e1,e2)) != e2
& op(e2,op(e1,e2)) = e1 )
| ( op(e3,op(e3,e2)) != e2
& op(e2,op(e3,e2)) = e3 )
| ( op(e4,op(e4,e2)) != e2
& op(e2,op(e4,e2)) = e4 ) )
& ( ( op(e0,op(e0,e3)) != e3
& op(e3,op(e0,e3)) = e0 )
| ( op(e1,op(e1,e3)) != e3
& op(e3,op(e1,e3)) = e1 )
| ( op(e2,op(e2,e3)) != e3
& op(e3,op(e2,e3)) = e2 )
| ( op(e4,op(e4,e3)) != e3
& op(e3,op(e4,e3)) = e4 ) )
& ( ( op(e0,op(e0,e4)) != e4
& op(e4,op(e0,e4)) = e0 )
| ( op(e1,op(e1,e4)) != e4
& op(e4,op(e1,e4)) = e1 )
| ( op(e2,op(e2,e4)) != e4
& op(e4,op(e2,e4)) = e2 )
| ( op(e3,op(e3,e4)) != e4
& op(e4,op(e3,e4)) = e3 ) )
& ( ( op(e1,op(e1,e0)) != e0
& op(e0,op(e1,e0)) = e1 )
| ( op(e2,op(e2,e0)) != e0
& op(e0,op(e2,e0)) = e2 )
| ( op(e3,op(e3,e0)) != e0
& op(e0,op(e3,e0)) = e3 )
| ( op(e4,op(e4,e0)) != e0
& op(e0,op(e4,e0)) = e4 ) ) ),
inference(canonicalize,[],[negate_19_0]) ).
fof(normalize_19_3,plain,
op(op(e3,e4),e4) = e3,
inference(conjunct,[],[normalize_19_2]) ).
fof(normalize_19_4,plain,
( e0 = op(op(e2,e2),op(e2,e2))
& e1 = op(op(e2,op(e2,e2)),op(e2,e2))
& e3 = op(e2,op(e2,e2))
& e4 = op(e2,e2) ),
inference(canonicalize,[],[ax6]) ).
fof(normalize_19_5,plain,
e1 = op(op(e2,op(e2,e2)),op(e2,e2)),
inference(conjunct,[],[normalize_19_4]) ).
fof(normalize_19_6,plain,
e4 = op(e2,e2),
inference(conjunct,[],[normalize_19_4]) ).
fof(normalize_19_7,plain,
e3 = op(e2,op(e2,e2)),
inference(conjunct,[],[normalize_19_4]) ).
cnf(refute_19_0,plain,
op(e1,e4) != op(e2,e4),
inference(canonicalize,[],[normalize_19_1]) ).
cnf(refute_19_1,plain,
op(op(e3,e4),e4) = e3,
inference(canonicalize,[],[normalize_19_3]) ).
cnf(refute_19_2,plain,
e1 = op(op(e2,op(e2,e2)),op(e2,e2)),
inference(canonicalize,[],[normalize_19_5]) ).
cnf(refute_19_3,plain,
e4 = op(e2,e2),
inference(canonicalize,[],[normalize_19_6]) ).
cnf(refute_19_4,plain,
X = X,
introduced(tautology,[refl,[$fot(X)]]) ).
cnf(refute_19_5,plain,
( X != X
| X != Y
| Y = X ),
introduced(tautology,[equality,[$cnf( $equal(X,X) ),[0],$fot(Y)]]) ).
cnf(refute_19_6,plain,
( X != Y
| Y = X ),
inference(resolve,[$cnf( $equal(X,X) )],[refute_19_4,refute_19_5]) ).
cnf(refute_19_7,plain,
( e4 != op(e2,e2)
| op(e2,e2) = e4 ),
inference(subst,[],[refute_19_6:[bind(X,$fot(e4)),bind(Y,$fot(op(e2,e2)))]]) ).
cnf(refute_19_8,plain,
op(e2,e2) = e4,
inference(resolve,[$cnf( $equal(e4,op(e2,e2)) )],[refute_19_3,refute_19_7]) ).
cnf(refute_19_9,plain,
op(e3,op(e2,e2)) = op(e3,op(e2,e2)),
introduced(tautology,[refl,[$fot(op(e3,op(e2,e2)))]]) ).
cnf(refute_19_10,plain,
( op(e2,e2) != e4
| op(e3,op(e2,e2)) != op(e3,op(e2,e2))
| op(e3,op(e2,e2)) = op(e3,e4) ),
introduced(tautology,[equality,[$cnf( $equal(op(e3,op(e2,e2)),op(e3,op(e2,e2))) ),[1,1],$fot(e4)]]) ).
cnf(refute_19_11,plain,
( op(e2,e2) != e4
| op(e3,op(e2,e2)) = op(e3,e4) ),
inference(resolve,[$cnf( $equal(op(e3,op(e2,e2)),op(e3,op(e2,e2))) )],[refute_19_9,refute_19_10]) ).
cnf(refute_19_12,plain,
op(e3,op(e2,e2)) = op(e3,e4),
inference(resolve,[$cnf( $equal(op(e2,e2),e4) )],[refute_19_8,refute_19_11]) ).
cnf(refute_19_13,plain,
e3 = op(e2,op(e2,e2)),
inference(canonicalize,[],[normalize_19_7]) ).
cnf(refute_19_14,plain,
( e3 != op(e2,op(e2,e2))
| op(e2,op(e2,e2)) = e3 ),
inference(subst,[],[refute_19_6:[bind(X,$fot(e3)),bind(Y,$fot(op(e2,op(e2,e2))))]]) ).
cnf(refute_19_15,plain,
op(e2,op(e2,e2)) = e3,
inference(resolve,[$cnf( $equal(e3,op(e2,op(e2,e2))) )],[refute_19_13,refute_19_14]) ).
cnf(refute_19_16,plain,
op(op(e2,op(e2,e2)),op(e2,e2)) = op(op(e2,op(e2,e2)),op(e2,e2)),
introduced(tautology,[refl,[$fot(op(op(e2,op(e2,e2)),op(e2,e2)))]]) ).
cnf(refute_19_17,plain,
( op(e2,op(e2,e2)) != e3
| op(op(e2,op(e2,e2)),op(e2,e2)) != op(op(e2,op(e2,e2)),op(e2,e2))
| op(op(e2,op(e2,e2)),op(e2,e2)) = op(e3,op(e2,e2)) ),
introduced(tautology,[equality,[$cnf( $equal(op(op(e2,op(e2,e2)),op(e2,e2)),op(op(e2,op(e2,e2)),op(e2,e2))) ),[1,0],$fot(e3)]]) ).
cnf(refute_19_18,plain,
( op(e2,op(e2,e2)) != e3
| op(op(e2,op(e2,e2)),op(e2,e2)) = op(e3,op(e2,e2)) ),
inference(resolve,[$cnf( $equal(op(op(e2,op(e2,e2)),op(e2,e2)),op(op(e2,op(e2,e2)),op(e2,e2))) )],[refute_19_16,refute_19_17]) ).
cnf(refute_19_19,plain,
op(op(e2,op(e2,e2)),op(e2,e2)) = op(e3,op(e2,e2)),
inference(resolve,[$cnf( $equal(op(e2,op(e2,e2)),e3) )],[refute_19_15,refute_19_18]) ).
cnf(refute_19_20,plain,
( Y != X
| Y != Z
| X = Z ),
introduced(tautology,[equality,[$cnf( $equal(Y,Z) ),[0],$fot(X)]]) ).
cnf(refute_19_21,plain,
( X != Y
| Y != Z
| X = Z ),
inference(resolve,[$cnf( $equal(Y,X) )],[refute_19_6,refute_19_20]) ).
cnf(refute_19_22,plain,
( op(e3,op(e2,e2)) != op(e3,e4)
| op(op(e2,op(e2,e2)),op(e2,e2)) != op(e3,op(e2,e2))
| op(op(e2,op(e2,e2)),op(e2,e2)) = op(e3,e4) ),
inference(subst,[],[refute_19_21:[bind(X,$fot(op(op(e2,op(e2,e2)),op(e2,e2)))),bind(Y,$fot(op(e3,op(e2,e2)))),bind(Z,$fot(op(e3,e4)))]]) ).
cnf(refute_19_23,plain,
( op(e3,op(e2,e2)) != op(e3,e4)
| op(op(e2,op(e2,e2)),op(e2,e2)) = op(e3,e4) ),
inference(resolve,[$cnf( $equal(op(op(e2,op(e2,e2)),op(e2,e2)),op(e3,op(e2,e2))) )],[refute_19_19,refute_19_22]) ).
cnf(refute_19_24,plain,
op(op(e2,op(e2,e2)),op(e2,e2)) = op(e3,e4),
inference(resolve,[$cnf( $equal(op(e3,op(e2,e2)),op(e3,e4)) )],[refute_19_12,refute_19_23]) ).
cnf(refute_19_25,plain,
( e1 != op(op(e2,op(e2,e2)),op(e2,e2))
| op(op(e2,op(e2,e2)),op(e2,e2)) != op(e3,e4)
| e1 = op(e3,e4) ),
introduced(tautology,[equality,[$cnf( ~ $equal(e1,op(e3,e4)) ),[0],$fot(op(op(e2,op(e2,e2)),op(e2,e2)))]]) ).
cnf(refute_19_26,plain,
( e1 != op(op(e2,op(e2,e2)),op(e2,e2))
| e1 = op(e3,e4) ),
inference(resolve,[$cnf( $equal(op(op(e2,op(e2,e2)),op(e2,e2)),op(e3,e4)) )],[refute_19_24,refute_19_25]) ).
cnf(refute_19_27,plain,
e1 = op(e3,e4),
inference(resolve,[$cnf( $equal(e1,op(op(e2,op(e2,e2)),op(e2,e2))) )],[refute_19_2,refute_19_26]) ).
cnf(refute_19_28,plain,
( e1 != op(e3,e4)
| op(e3,e4) = e1 ),
inference(subst,[],[refute_19_6:[bind(X,$fot(e1)),bind(Y,$fot(op(e3,e4)))]]) ).
cnf(refute_19_29,plain,
op(e3,e4) = e1,
inference(resolve,[$cnf( $equal(e1,op(e3,e4)) )],[refute_19_27,refute_19_28]) ).
cnf(refute_19_30,plain,
op(op(e3,e4),e4) = op(op(e3,e4),e4),
introduced(tautology,[refl,[$fot(op(op(e3,e4),e4))]]) ).
cnf(refute_19_31,plain,
( op(e3,e4) != e1
| op(op(e3,e4),e4) != op(op(e3,e4),e4)
| op(op(e3,e4),e4) = op(e1,e4) ),
introduced(tautology,[equality,[$cnf( $equal(op(op(e3,e4),e4),op(op(e3,e4),e4)) ),[1,0],$fot(e1)]]) ).
cnf(refute_19_32,plain,
( op(e3,e4) != e1
| op(op(e3,e4),e4) = op(e1,e4) ),
inference(resolve,[$cnf( $equal(op(op(e3,e4),e4),op(op(e3,e4),e4)) )],[refute_19_30,refute_19_31]) ).
cnf(refute_19_33,plain,
op(op(e3,e4),e4) = op(e1,e4),
inference(resolve,[$cnf( $equal(op(e3,e4),e1) )],[refute_19_29,refute_19_32]) ).
cnf(refute_19_34,plain,
( op(op(e3,e4),e4) != e3
| op(op(e3,e4),e4) != op(e1,e4)
| op(e1,e4) = e3 ),
introduced(tautology,[equality,[$cnf( $equal(op(op(e3,e4),e4),e3) ),[0],$fot(op(e1,e4))]]) ).
cnf(refute_19_35,plain,
( op(op(e3,e4),e4) != e3
| op(e1,e4) = e3 ),
inference(resolve,[$cnf( $equal(op(op(e3,e4),e4),op(e1,e4)) )],[refute_19_33,refute_19_34]) ).
cnf(refute_19_36,plain,
op(e1,e4) = e3,
inference(resolve,[$cnf( $equal(op(op(e3,e4),e4),e3) )],[refute_19_1,refute_19_35]) ).
cnf(refute_19_37,plain,
( e3 != op(e2,e4)
| op(e1,e4) != e3
| op(e1,e4) = op(e2,e4) ),
introduced(tautology,[equality,[$cnf( $equal(op(e1,e4),e3) ),[1],$fot(op(e2,e4))]]) ).
cnf(refute_19_38,plain,
( e3 != op(e2,e4)
| op(e1,e4) = op(e2,e4) ),
inference(resolve,[$cnf( $equal(op(e1,e4),e3) )],[refute_19_36,refute_19_37]) ).
cnf(refute_19_39,plain,
op(e2,op(e2,e2)) = op(e2,op(e2,e2)),
introduced(tautology,[refl,[$fot(op(e2,op(e2,e2)))]]) ).
cnf(refute_19_40,plain,
( op(e2,e2) != e4
| op(e2,op(e2,e2)) != op(e2,op(e2,e2))
| op(e2,op(e2,e2)) = op(e2,e4) ),
introduced(tautology,[equality,[$cnf( $equal(op(e2,op(e2,e2)),op(e2,op(e2,e2))) ),[1,1],$fot(e4)]]) ).
cnf(refute_19_41,plain,
( op(e2,e2) != e4
| op(e2,op(e2,e2)) = op(e2,e4) ),
inference(resolve,[$cnf( $equal(op(e2,op(e2,e2)),op(e2,op(e2,e2))) )],[refute_19_39,refute_19_40]) ).
cnf(refute_19_42,plain,
op(e2,op(e2,e2)) = op(e2,e4),
inference(resolve,[$cnf( $equal(op(e2,e2),e4) )],[refute_19_8,refute_19_41]) ).
cnf(refute_19_43,plain,
( e3 != op(e2,op(e2,e2))
| op(e2,op(e2,e2)) != op(e2,e4)
| e3 = op(e2,e4) ),
introduced(tautology,[equality,[$cnf( ~ $equal(e3,op(e2,e4)) ),[0],$fot(op(e2,op(e2,e2)))]]) ).
cnf(refute_19_44,plain,
( e3 != op(e2,op(e2,e2))
| e3 = op(e2,e4) ),
inference(resolve,[$cnf( $equal(op(e2,op(e2,e2)),op(e2,e4)) )],[refute_19_42,refute_19_43]) ).
cnf(refute_19_45,plain,
e3 = op(e2,e4),
inference(resolve,[$cnf( $equal(e3,op(e2,op(e2,e2))) )],[refute_19_13,refute_19_44]) ).
cnf(refute_19_46,plain,
( e3 != op(e2,e4)
| op(e2,e4) = e3 ),
inference(subst,[],[refute_19_6:[bind(X,$fot(e3)),bind(Y,$fot(op(e2,e4)))]]) ).
cnf(refute_19_47,plain,
op(e2,e4) = e3,
inference(resolve,[$cnf( $equal(e3,op(e2,e4)) )],[refute_19_45,refute_19_46]) ).
cnf(refute_19_48,plain,
( e3 != e3
| op(e2,e4) != e3
| e3 = op(e2,e4) ),
introduced(tautology,[equality,[$cnf( ~ $equal(e3,op(e2,e4)) ),[1],$fot(e3)]]) ).
cnf(refute_19_49,plain,
( e3 != e3
| e3 = op(e2,e4) ),
inference(resolve,[$cnf( $equal(op(e2,e4),e3) )],[refute_19_47,refute_19_48]) ).
cnf(refute_19_50,plain,
( e3 != e3
| op(e1,e4) = op(e2,e4) ),
inference(resolve,[$cnf( $equal(e3,op(e2,e4)) )],[refute_19_49,refute_19_38]) ).
cnf(refute_19_51,plain,
e3 != e3,
inference(resolve,[$cnf( $equal(op(e1,e4),op(e2,e4)) )],[refute_19_50,refute_19_0]) ).
cnf(refute_19_52,plain,
e3 = e3,
introduced(tautology,[refl,[$fot(e3)]]) ).
cnf(refute_19_53,plain,
$false,
inference(resolve,[$cnf( $equal(e3,e3) )],[refute_19_52,refute_19_51]) ).
fof(negate_20_0,plain,
~ ( ( ( ( op(e0,op(e0,e0)) != e0
& op(e0,op(e0,e0)) = e0 )
| ( op(e1,op(e1,e0)) != e0
& op(e0,op(e1,e0)) = e1 )
| ( op(e2,op(e2,e0)) != e0
& op(e0,op(e2,e0)) = e2 )
| ( op(e3,op(e3,e0)) != e0
& op(e0,op(e3,e0)) = e3 )
| ( op(e4,op(e4,e0)) != e0
& op(e0,op(e4,e0)) = e4 ) )
& ( ( op(e0,op(e0,e1)) != e1
& op(e1,op(e0,e1)) = e0 )
| ( op(e1,op(e1,e1)) != e1
& op(e1,op(e1,e1)) = e1 )
| ( op(e2,op(e2,e1)) != e1
& op(e1,op(e2,e1)) = e2 )
| ( op(e3,op(e3,e1)) != e1
& op(e1,op(e3,e1)) = e3 )
| ( op(e4,op(e4,e1)) != e1
& op(e1,op(e4,e1)) = e4 ) )
& ( ( op(e0,op(e0,e2)) != e2
& op(e2,op(e0,e2)) = e0 )
| ( op(e1,op(e1,e2)) != e2
& op(e2,op(e1,e2)) = e1 )
| ( op(e2,op(e2,e2)) != e2
& op(e2,op(e2,e2)) = e2 )
| ( op(e3,op(e3,e2)) != e2
& op(e2,op(e3,e2)) = e3 )
| ( op(e4,op(e4,e2)) != e2
& op(e2,op(e4,e2)) = e4 ) )
& ( ( op(e0,op(e0,e3)) != e3
& op(e3,op(e0,e3)) = e0 )
| ( op(e1,op(e1,e3)) != e3
& op(e3,op(e1,e3)) = e1 )
| ( op(e2,op(e2,e3)) != e3
& op(e3,op(e2,e3)) = e2 )
| ( op(e3,op(e3,e3)) != e3
& op(e3,op(e3,e3)) = e3 )
| ( op(e4,op(e4,e3)) != e3
& op(e3,op(e4,e3)) = e4 ) )
& ( ( op(e0,op(e0,e4)) != e4
& op(e4,op(e0,e4)) = e0 )
| ( op(e1,op(e1,e4)) != e4
& op(e4,op(e1,e4)) = e1 )
| ( op(e2,op(e2,e4)) != e4
& op(e4,op(e2,e4)) = e2 )
| ( op(e3,op(e3,e4)) != e4
& op(e4,op(e3,e4)) = e3 )
| ( op(e4,op(e4,e4)) != e4
& op(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,
( ( 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_20_1,plain,
( op(e0,e3) = e0
| op(e0,e3) = e1
| op(e0,e3) = e2
| op(e0,e3) = e3
| op(e0,e3) = e4 ),
inference(conjunct,[],[normalize_20_0]) ).
fof(normalize_20_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_20_3,plain,
op(e0,e1) != op(e0,e3),
inference(conjunct,[],[normalize_20_2]) ).
fof(normalize_20_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_20_5,plain,
op(e0,unit) = e0,
inference(conjunct,[],[normalize_20_4]) ).
fof(normalize_20_6,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,op(e0,e1)) != e1
& op(e1,op(e0,e1)) = e0 )
| ( op(e2,op(e2,e1)) != e1
& op(e1,op(e2,e1)) = e2 )
| ( op(e3,op(e3,e1)) != e1
& op(e1,op(e3,e1)) = e3 )
| ( op(e4,op(e4,e1)) != e1
& op(e1,op(e4,e1)) = e4 ) )
& ( ( op(e0,op(e0,e2)) != e2
& op(e2,op(e0,e2)) = e0 )
| ( op(e1,op(e1,e2)) != e2
& op(e2,op(e1,e2)) = e1 )
| ( op(e3,op(e3,e2)) != e2
& op(e2,op(e3,e2)) = e3 )
| ( op(e4,op(e4,e2)) != e2
& op(e2,op(e4,e2)) = e4 ) )
& ( ( op(e0,op(e0,e3)) != e3
& op(e3,op(e0,e3)) = e0 )
| ( op(e1,op(e1,e3)) != e3
& op(e3,op(e1,e3)) = e1 )
| ( op(e2,op(e2,e3)) != e3
& op(e3,op(e2,e3)) = e2 )
| ( op(e4,op(e4,e3)) != e3
& op(e3,op(e4,e3)) = e4 ) )
& ( ( op(e0,op(e0,e4)) != e4
& op(e4,op(e0,e4)) = e0 )
| ( op(e1,op(e1,e4)) != e4
& op(e4,op(e1,e4)) = e1 )
| ( op(e2,op(e2,e4)) != e4
& op(e4,op(e2,e4)) = e2 )
| ( op(e3,op(e3,e4)) != e4
& op(e4,op(e3,e4)) = e3 ) )
& ( ( op(e1,op(e1,e0)) != e0
& op(e0,op(e1,e0)) = e1 )
| ( op(e2,op(e2,e0)) != e0
& op(e0,op(e2,e0)) = e2 )
| ( op(e3,op(e3,e0)) != e0
& op(e0,op(e3,e0)) = e3 )
| ( op(e4,op(e4,e0)) != e0
& op(e0,op(e4,e0)) = e4 ) ) ),
inference(canonicalize,[],[negate_20_0]) ).
fof(normalize_20_7,plain,
op(op(e4,e0),e4) != e0,
inference(conjunct,[],[normalize_20_6]) ).
fof(normalize_20_8,plain,
op(e4,unit) = e4,
inference(conjunct,[],[normalize_20_4]) ).
fof(normalize_20_9,plain,
op(unit,e4) = e4,
inference(conjunct,[],[normalize_20_4]) ).
fof(normalize_20_10,plain,
( unit = e0
| unit = e1
| unit = e2
| unit = e3
| unit = e4 ),
inference(conjunct,[],[normalize_20_4]) ).
fof(normalize_20_11,plain,
( e0 = op(op(e2,e2),op(e2,e2))
& e1 = op(op(e2,op(e2,e2)),op(e2,e2))
& e3 = op(e2,op(e2,e2))
& e4 = op(e2,e2) ),
inference(canonicalize,[],[ax6]) ).
fof(normalize_20_12,plain,
e3 = op(e2,op(e2,e2)),
inference(conjunct,[],[normalize_20_11]) ).
fof(normalize_20_13,plain,
e4 = op(e2,e2),
inference(conjunct,[],[normalize_20_11]) ).
fof(normalize_20_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_20_15,plain,
e3 != e4,
inference(conjunct,[],[normalize_20_14]) ).
fof(normalize_20_16,plain,
e1 = op(op(e2,op(e2,e2)),op(e2,e2)),
inference(conjunct,[],[normalize_20_11]) ).
fof(normalize_20_17,plain,
e1 != e4,
inference(conjunct,[],[normalize_20_14]) ).
fof(normalize_20_18,plain,
e0 = op(op(e2,e2),op(e2,e2)),
inference(conjunct,[],[normalize_20_11]) ).
fof(normalize_20_19,plain,
e0 != e4,
inference(conjunct,[],[normalize_20_14]) ).
fof(normalize_20_20,plain,
op(e0,e3) != op(e4,e3),
inference(conjunct,[],[normalize_20_2]) ).
fof(normalize_20_21,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_22,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_21]) ).
fof(normalize_20_23,plain,
e0 != e2,
inference(conjunct,[],[normalize_20_14]) ).
fof(normalize_20_24,plain,
e2 != e4,
inference(conjunct,[],[normalize_20_14]) ).
fof(normalize_20_25,plain,
op(e1,e2) != op(e4,e2),
inference(conjunct,[],[normalize_20_2]) ).
fof(normalize_20_26,plain,
op(unit,e2) = e2,
inference(conjunct,[],[normalize_20_4]) ).
fof(normalize_20_27,plain,
op(e3,e0) != op(e4,e0),
inference(conjunct,[],[normalize_20_2]) ).
fof(normalize_20_28,plain,
op(e0,e0) != op(e3,e0),
inference(conjunct,[],[normalize_20_2]) ).
fof(normalize_20_29,plain,
( op(e3,e0) = e0
| op(e3,e0) = e1
| op(e3,e0) = e2
| op(e3,e0) = e3
| op(e3,e0) = e4 ),
inference(conjunct,[],[normalize_20_0]) ).
fof(normalize_20_30,plain,
op(e1,e0) != op(e3,e0),
inference(conjunct,[],[normalize_20_2]) ).
fof(normalize_20_31,plain,
op(unit,e0) = e0,
inference(conjunct,[],[normalize_20_4]) ).
fof(normalize_20_32,plain,
op(e3,e0) != op(e3,e4),
inference(conjunct,[],[normalize_20_2]) ).
fof(normalize_20_33,plain,
op(e3,e0) != op(e3,e1),
inference(conjunct,[],[normalize_20_2]) ).
fof(normalize_20_34,plain,
op(e3,unit) = e3,
inference(conjunct,[],[normalize_20_4]) ).
fof(normalize_20_35,plain,
op(op(e4,e0),e0) = e4,
inference(conjunct,[],[normalize_20_6]) ).
fof(normalize_20_36,plain,
op(e3,e3) != op(e4,e3),
inference(conjunct,[],[normalize_20_2]) ).
fof(normalize_20_37,plain,
op(e3,e0) != op(e3,e3),
inference(conjunct,[],[normalize_20_2]) ).
fof(normalize_20_38,plain,
( op(e0,e0) = e4
| op(e1,e0) = e4
| op(e2,e0) = e4
| op(e3,e0) = e4
| op(e4,e0) = e4 ),
inference(conjunct,[],[normalize_20_21]) ).
fof(normalize_20_39,plain,
op(e2,e0) != op(e2,e2),
inference(conjunct,[],[normalize_20_2]) ).
fof(normalize_20_40,plain,
op(e4,e0) != op(e4,e1),
inference(conjunct,[],[normalize_20_2]) ).
fof(normalize_20_41,plain,
( op(e3,e3) = e0
| op(e3,e3) = e1
| op(e3,e3) = e2
| op(e3,e3) = e3
| op(e3,e3) = e4 ),
inference(conjunct,[],[normalize_20_0]) ).
fof(normalize_20_42,plain,
op(e3,e2) != op(e3,e3),
inference(conjunct,[],[normalize_20_2]) ).
fof(normalize_20_43,plain,
( op(e3,e2) = e0
| op(e3,e2) = e1
| op(e3,e2) = e2
| op(e3,e2) = e3
| op(e3,e2) = e4 ),
inference(conjunct,[],[normalize_20_0]) ).
fof(normalize_20_44,plain,
op(e2,e2) != op(e3,e2),
inference(conjunct,[],[normalize_20_2]) ).
fof(normalize_20_45,plain,
op(e3,e2) != op(e3,e4),
inference(conjunct,[],[normalize_20_2]) ).
fof(normalize_20_46,plain,
op(e1,e2) != op(e3,e2),
inference(conjunct,[],[normalize_20_2]) ).
fof(normalize_20_47,plain,
op(e3,e1) != op(e3,e2),
inference(conjunct,[],[normalize_20_2]) ).
fof(normalize_20_48,plain,
op(e3,e3) != op(e3,e4),
inference(conjunct,[],[normalize_20_2]) ).
fof(normalize_20_49,plain,
op(e1,e3) != op(e3,e3),
inference(conjunct,[],[normalize_20_2]) ).
fof(normalize_20_50,plain,
op(unit,e3) = e3,
inference(conjunct,[],[normalize_20_4]) ).
fof(normalize_20_51,plain,
( op(e2,e0) = e1
| op(e2,e1) = e1
| op(e2,e2) = e1
| op(e2,e3) = e1
| op(e2,e4) = e1 ),
inference(conjunct,[],[normalize_20_21]) ).
fof(normalize_20_52,plain,
op(e2,unit) = e2,
inference(conjunct,[],[normalize_20_4]) ).
fof(normalize_20_53,plain,
( op(e2,e0) = e0
| op(e2,e1) = e0
| op(e2,e2) = e0
| op(e2,e3) = e0
| op(e2,e4) = e0 ),
inference(conjunct,[],[normalize_20_21]) ).
fof(normalize_20_54,plain,
e0 != e3,
inference(conjunct,[],[normalize_20_14]) ).
fof(normalize_20_55,plain,
op(e1,e0) != op(e2,e0),
inference(conjunct,[],[normalize_20_2]) ).
fof(normalize_20_56,plain,
e0 != e1,
inference(conjunct,[],[normalize_20_14]) ).
fof(normalize_20_57,plain,
e1 != e2,
inference(conjunct,[],[normalize_20_14]) ).
fof(normalize_20_58,plain,
e1 != e3,
inference(conjunct,[],[normalize_20_14]) ).
fof(normalize_20_59,plain,
op(e0,e3) != op(e1,e3),
inference(conjunct,[],[normalize_20_2]) ).
fof(normalize_20_60,plain,
op(e0,e3) != op(e3,e3),
inference(conjunct,[],[normalize_20_2]) ).
fof(normalize_20_61,plain,
( op(e3,e0) = e4
| op(e3,e1) = e4
| op(e3,e2) = e4
| op(e3,e3) = e4
| op(e3,e4) = e4 ),
inference(conjunct,[],[normalize_20_21]) ).
fof(normalize_20_62,plain,
( op(e4,e0) = e0
| op(e4,e0) = e1
| op(e4,e0) = e2
| op(e4,e0) = e3
| op(e4,e0) = e4 ),
inference(conjunct,[],[normalize_20_0]) ).
fof(normalize_20_63,plain,
op(e4,e0) != op(e4,e4),
inference(conjunct,[],[normalize_20_2]) ).
fof(normalize_20_64,plain,
op(e2,e0) != op(e4,e0),
inference(conjunct,[],[normalize_20_2]) ).
cnf(refute_20_0,plain,
( op(e0,e3) = e0
| op(e0,e3) = e1
| op(e0,e3) = e2
| op(e0,e3) = e3
| op(e0,e3) = e4 ),
inference(canonicalize,[],[normalize_20_1]) ).
cnf(refute_20_1,plain,
op(e0,e1) != op(e0,e3),
inference(canonicalize,[],[normalize_20_3]) ).
cnf(refute_20_2,plain,
op(e0,unit) = e0,
inference(canonicalize,[],[normalize_20_5]) ).
cnf(refute_20_3,plain,
op(op(e4,e0),e4) != e0,
inference(canonicalize,[],[normalize_20_7]) ).
cnf(refute_20_4,plain,
op(e4,unit) = e4,
inference(canonicalize,[],[normalize_20_8]) ).
cnf(refute_20_5,plain,
op(unit,e4) = e4,
inference(canonicalize,[],[normalize_20_9]) ).
cnf(refute_20_6,plain,
( unit = e0
| unit = e1
| unit = e2
| unit = e3
| unit = e4 ),
inference(canonicalize,[],[normalize_20_10]) ).
cnf(refute_20_7,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_20_8,plain,
( op(unit,e4) != e4
| op(e2,e4) = e4
| unit = e0
| unit = e1
| unit = e3
| unit = e4 ),
inference(resolve,[$cnf( $equal(unit,e2) )],[refute_20_6,refute_20_7]) ).
cnf(refute_20_9,plain,
( op(e2,e4) = e4
| unit = e0
| unit = e1
| unit = e3
| unit = e4 ),
inference(resolve,[$cnf( $equal(op(unit,e4),e4) )],[refute_20_5,refute_20_8]) ).
cnf(refute_20_10,plain,
e3 = op(e2,op(e2,e2)),
inference(canonicalize,[],[normalize_20_12]) ).
cnf(refute_20_11,plain,
e4 = op(e2,e2),
inference(canonicalize,[],[normalize_20_13]) ).
cnf(refute_20_12,plain,
X = X,
introduced(tautology,[refl,[$fot(X)]]) ).
cnf(refute_20_13,plain,
( X != X
| X != Y
| Y = X ),
introduced(tautology,[equality,[$cnf( $equal(X,X) ),[0],$fot(Y)]]) ).
cnf(refute_20_14,plain,
( X != Y
| Y = X ),
inference(resolve,[$cnf( $equal(X,X) )],[refute_20_12,refute_20_13]) ).
cnf(refute_20_15,plain,
( e4 != op(e2,e2)
| op(e2,e2) = e4 ),
inference(subst,[],[refute_20_14:[bind(X,$fot(e4)),bind(Y,$fot(op(e2,e2)))]]) ).
cnf(refute_20_16,plain,
op(e2,e2) = e4,
inference(resolve,[$cnf( $equal(e4,op(e2,e2)) )],[refute_20_11,refute_20_15]) ).
cnf(refute_20_17,plain,
op(e2,op(e2,e2)) = op(e2,op(e2,e2)),
introduced(tautology,[refl,[$fot(op(e2,op(e2,e2)))]]) ).
cnf(refute_20_18,plain,
( op(e2,e2) != e4
| op(e2,op(e2,e2)) != op(e2,op(e2,e2))
| op(e2,op(e2,e2)) = op(e2,e4) ),
introduced(tautology,[equality,[$cnf( $equal(op(e2,op(e2,e2)),op(e2,op(e2,e2))) ),[1,1],$fot(e4)]]) ).
cnf(refute_20_19,plain,
( op(e2,e2) != e4
| op(e2,op(e2,e2)) = op(e2,e4) ),
inference(resolve,[$cnf( $equal(op(e2,op(e2,e2)),op(e2,op(e2,e2))) )],[refute_20_17,refute_20_18]) ).
cnf(refute_20_20,plain,
op(e2,op(e2,e2)) = op(e2,e4),
inference(resolve,[$cnf( $equal(op(e2,e2),e4) )],[refute_20_16,refute_20_19]) ).
cnf(refute_20_21,plain,
( e3 != op(e2,op(e2,e2))
| op(e2,op(e2,e2)) != op(e2,e4)
| e3 = op(e2,e4) ),
introduced(tautology,[equality,[$cnf( ~ $equal(e3,op(e2,e4)) ),[0],$fot(op(e2,op(e2,e2)))]]) ).
cnf(refute_20_22,plain,
( e3 != op(e2,op(e2,e2))
| e3 = op(e2,e4) ),
inference(resolve,[$cnf( $equal(op(e2,op(e2,e2)),op(e2,e4)) )],[refute_20_20,refute_20_21]) ).
cnf(refute_20_23,plain,
e3 = op(e2,e4),
inference(resolve,[$cnf( $equal(e3,op(e2,op(e2,e2))) )],[refute_20_10,refute_20_22]) ).
cnf(refute_20_24,plain,
( e3 != op(e2,e4)
| op(e2,e4) = e3 ),
inference(subst,[],[refute_20_14:[bind(X,$fot(e3)),bind(Y,$fot(op(e2,e4)))]]) ).
cnf(refute_20_25,plain,
op(e2,e4) = e3,
inference(resolve,[$cnf( $equal(e3,op(e2,e4)) )],[refute_20_23,refute_20_24]) ).
cnf(refute_20_26,plain,
( op(e2,e4) != e3
| op(e2,e4) != e4
| e3 = e4 ),
introduced(tautology,[equality,[$cnf( $equal(op(e2,e4),e4) ),[0],$fot(e3)]]) ).
cnf(refute_20_27,plain,
( op(e2,e4) != e4
| e3 = e4 ),
inference(resolve,[$cnf( $equal(op(e2,e4),e3) )],[refute_20_25,refute_20_26]) ).
cnf(refute_20_28,plain,
( e3 = e4
| unit = e0
| unit = e1
| unit = e3
| unit = e4 ),
inference(resolve,[$cnf( $equal(op(e2,e4),e4) )],[refute_20_9,refute_20_27]) ).
cnf(refute_20_29,plain,
e3 != e4,
inference(canonicalize,[],[normalize_20_15]) ).
cnf(refute_20_30,plain,
( unit = e0
| unit = e1
| unit = e3
| unit = e4 ),
inference(resolve,[$cnf( $equal(e3,e4) )],[refute_20_28,refute_20_29]) ).
cnf(refute_20_31,plain,
( op(unit,e4) != e4
| unit != e3
| op(e3,e4) = e4 ),
introduced(tautology,[equality,[$cnf( $equal(op(unit,e4),e4) ),[0,0],$fot(e3)]]) ).
cnf(refute_20_32,plain,
( op(unit,e4) != e4
| op(e3,e4) = e4
| unit = e0
| unit = e1
| unit = e4 ),
inference(resolve,[$cnf( $equal(unit,e3) )],[refute_20_30,refute_20_31]) ).
cnf(refute_20_33,plain,
( op(e3,e4) = e4
| unit = e0
| unit = e1
| unit = e4 ),
inference(resolve,[$cnf( $equal(op(unit,e4),e4) )],[refute_20_5,refute_20_32]) ).
cnf(refute_20_34,plain,
e1 = op(op(e2,op(e2,e2)),op(e2,e2)),
inference(canonicalize,[],[normalize_20_16]) ).
cnf(refute_20_35,plain,
op(e3,op(e2,e2)) = op(e3,op(e2,e2)),
introduced(tautology,[refl,[$fot(op(e3,op(e2,e2)))]]) ).
cnf(refute_20_36,plain,
( op(e2,e2) != e4
| op(e3,op(e2,e2)) != op(e3,op(e2,e2))
| op(e3,op(e2,e2)) = op(e3,e4) ),
introduced(tautology,[equality,[$cnf( $equal(op(e3,op(e2,e2)),op(e3,op(e2,e2))) ),[1,1],$fot(e4)]]) ).
cnf(refute_20_37,plain,
( op(e2,e2) != e4
| op(e3,op(e2,e2)) = op(e3,e4) ),
inference(resolve,[$cnf( $equal(op(e3,op(e2,e2)),op(e3,op(e2,e2))) )],[refute_20_35,refute_20_36]) ).
cnf(refute_20_38,plain,
op(e3,op(e2,e2)) = op(e3,e4),
inference(resolve,[$cnf( $equal(op(e2,e2),e4) )],[refute_20_16,refute_20_37]) ).
cnf(refute_20_39,plain,
( e3 != op(e2,op(e2,e2))
| op(e2,op(e2,e2)) = e3 ),
inference(subst,[],[refute_20_14:[bind(X,$fot(e3)),bind(Y,$fot(op(e2,op(e2,e2))))]]) ).
cnf(refute_20_40,plain,
op(e2,op(e2,e2)) = e3,
inference(resolve,[$cnf( $equal(e3,op(e2,op(e2,e2))) )],[refute_20_10,refute_20_39]) ).
cnf(refute_20_41,plain,
op(op(e2,op(e2,e2)),op(e2,e2)) = op(op(e2,op(e2,e2)),op(e2,e2)),
introduced(tautology,[refl,[$fot(op(op(e2,op(e2,e2)),op(e2,e2)))]]) ).
cnf(refute_20_42,plain,
( op(e2,op(e2,e2)) != e3
| op(op(e2,op(e2,e2)),op(e2,e2)) != op(op(e2,op(e2,e2)),op(e2,e2))
| op(op(e2,op(e2,e2)),op(e2,e2)) = op(e3,op(e2,e2)) ),
introduced(tautology,[equality,[$cnf( $equal(op(op(e2,op(e2,e2)),op(e2,e2)),op(op(e2,op(e2,e2)),op(e2,e2))) ),[1,0],$fot(e3)]]) ).
cnf(refute_20_43,plain,
( op(e2,op(e2,e2)) != e3
| op(op(e2,op(e2,e2)),op(e2,e2)) = op(e3,op(e2,e2)) ),
inference(resolve,[$cnf( $equal(op(op(e2,op(e2,e2)),op(e2,e2)),op(op(e2,op(e2,e2)),op(e2,e2))) )],[refute_20_41,refute_20_42]) ).
cnf(refute_20_44,plain,
op(op(e2,op(e2,e2)),op(e2,e2)) = op(e3,op(e2,e2)),
inference(resolve,[$cnf( $equal(op(e2,op(e2,e2)),e3) )],[refute_20_40,refute_20_43]) ).
cnf(refute_20_45,plain,
( Y != X
| Y != Z
| X = Z ),
introduced(tautology,[equality,[$cnf( $equal(Y,Z) ),[0],$fot(X)]]) ).
cnf(refute_20_46,plain,
( X != Y
| Y != Z
| X = Z ),
inference(resolve,[$cnf( $equal(Y,X) )],[refute_20_14,refute_20_45]) ).
cnf(refute_20_47,plain,
( op(e3,op(e2,e2)) != op(e3,e4)
| op(op(e2,op(e2,e2)),op(e2,e2)) != op(e3,op(e2,e2))
| op(op(e2,op(e2,e2)),op(e2,e2)) = op(e3,e4) ),
inference(subst,[],[refute_20_46:[bind(X,$fot(op(op(e2,op(e2,e2)),op(e2,e2)))),bind(Y,$fot(op(e3,op(e2,e2)))),bind(Z,$fot(op(e3,e4)))]]) ).
cnf(refute_20_48,plain,
( op(e3,op(e2,e2)) != op(e3,e4)
| op(op(e2,op(e2,e2)),op(e2,e2)) = op(e3,e4) ),
inference(resolve,[$cnf( $equal(op(op(e2,op(e2,e2)),op(e2,e2)),op(e3,op(e2,e2))) )],[refute_20_44,refute_20_47]) ).
cnf(refute_20_49,plain,
op(op(e2,op(e2,e2)),op(e2,e2)) = op(e3,e4),
inference(resolve,[$cnf( $equal(op(e3,op(e2,e2)),op(e3,e4)) )],[refute_20_38,refute_20_48]) ).
cnf(refute_20_50,plain,
( e1 != op(op(e2,op(e2,e2)),op(e2,e2))
| op(op(e2,op(e2,e2)),op(e2,e2)) != op(e3,e4)
| e1 = op(e3,e4) ),
introduced(tautology,[equality,[$cnf( ~ $equal(e1,op(e3,e4)) ),[0],$fot(op(op(e2,op(e2,e2)),op(e2,e2)))]]) ).
cnf(refute_20_51,plain,
( e1 != op(op(e2,op(e2,e2)),op(e2,e2))
| e1 = op(e3,e4) ),
inference(resolve,[$cnf( $equal(op(op(e2,op(e2,e2)),op(e2,e2)),op(e3,e4)) )],[refute_20_49,refute_20_50]) ).
cnf(refute_20_52,plain,
e1 = op(e3,e4),
inference(resolve,[$cnf( $equal(e1,op(op(e2,op(e2,e2)),op(e2,e2))) )],[refute_20_34,refute_20_51]) ).
cnf(refute_20_53,plain,
( e1 != op(e3,e4)
| op(e3,e4) = e1 ),
inference(subst,[],[refute_20_14:[bind(X,$fot(e1)),bind(Y,$fot(op(e3,e4)))]]) ).
cnf(refute_20_54,plain,
op(e3,e4) = e1,
inference(resolve,[$cnf( $equal(e1,op(e3,e4)) )],[refute_20_52,refute_20_53]) ).
cnf(refute_20_55,plain,
( op(e3,e4) != e1
| op(e3,e4) != e4
| e1 = e4 ),
introduced(tautology,[equality,[$cnf( $equal(op(e3,e4),e4) ),[0],$fot(e1)]]) ).
cnf(refute_20_56,plain,
( op(e3,e4) != e4
| e1 = e4 ),
inference(resolve,[$cnf( $equal(op(e3,e4),e1) )],[refute_20_54,refute_20_55]) ).
cnf(refute_20_57,plain,
( e1 = e4
| unit = e0
| unit = e1
| unit = e4 ),
inference(resolve,[$cnf( $equal(op(e3,e4),e4) )],[refute_20_33,refute_20_56]) ).
cnf(refute_20_58,plain,
e1 != e4,
inference(canonicalize,[],[normalize_20_17]) ).
cnf(refute_20_59,plain,
( unit = e0
| unit = e1
| unit = e4 ),
inference(resolve,[$cnf( $equal(e1,e4) )],[refute_20_57,refute_20_58]) ).
cnf(refute_20_60,plain,
( op(unit,e4) != e4
| unit != e4
| op(e4,e4) = e4 ),
introduced(tautology,[equality,[$cnf( $equal(op(unit,e4),e4) ),[0,0],$fot(e4)]]) ).
cnf(refute_20_61,plain,
( op(unit,e4) != e4
| op(e4,e4) = e4
| unit = e0
| unit = e1 ),
inference(resolve,[$cnf( $equal(unit,e4) )],[refute_20_59,refute_20_60]) ).
cnf(refute_20_62,plain,
( op(e4,e4) = e4
| unit = e0
| unit = e1 ),
inference(resolve,[$cnf( $equal(op(unit,e4),e4) )],[refute_20_5,refute_20_61]) ).
cnf(refute_20_63,plain,
e0 = op(op(e2,e2),op(e2,e2)),
inference(canonicalize,[],[normalize_20_18]) ).
cnf(refute_20_64,plain,
op(e4,op(e2,e2)) = op(e4,op(e2,e2)),
introduced(tautology,[refl,[$fot(op(e4,op(e2,e2)))]]) ).
cnf(refute_20_65,plain,
( op(e2,e2) != e4
| op(e4,op(e2,e2)) != op(e4,op(e2,e2))
| op(e4,op(e2,e2)) = op(e4,e4) ),
introduced(tautology,[equality,[$cnf( $equal(op(e4,op(e2,e2)),op(e4,op(e2,e2))) ),[1,1],$fot(e4)]]) ).
cnf(refute_20_66,plain,
( op(e2,e2) != e4
| op(e4,op(e2,e2)) = op(e4,e4) ),
inference(resolve,[$cnf( $equal(op(e4,op(e2,e2)),op(e4,op(e2,e2))) )],[refute_20_64,refute_20_65]) ).
cnf(refute_20_67,plain,
op(e4,op(e2,e2)) = op(e4,e4),
inference(resolve,[$cnf( $equal(op(e2,e2),e4) )],[refute_20_16,refute_20_66]) ).
cnf(refute_20_68,plain,
op(op(e2,e2),op(e2,e2)) = op(op(e2,e2),op(e2,e2)),
introduced(tautology,[refl,[$fot(op(op(e2,e2),op(e2,e2)))]]) ).
cnf(refute_20_69,plain,
( op(e2,e2) != e4
| op(op(e2,e2),op(e2,e2)) != op(op(e2,e2),op(e2,e2))
| op(op(e2,e2),op(e2,e2)) = op(e4,op(e2,e2)) ),
introduced(tautology,[equality,[$cnf( $equal(op(op(e2,e2),op(e2,e2)),op(op(e2,e2),op(e2,e2))) ),[1,0],$fot(e4)]]) ).
cnf(refute_20_70,plain,
( op(e2,e2) != e4
| op(op(e2,e2),op(e2,e2)) = op(e4,op(e2,e2)) ),
inference(resolve,[$cnf( $equal(op(op(e2,e2),op(e2,e2)),op(op(e2,e2),op(e2,e2))) )],[refute_20_68,refute_20_69]) ).
cnf(refute_20_71,plain,
op(op(e2,e2),op(e2,e2)) = op(e4,op(e2,e2)),
inference(resolve,[$cnf( $equal(op(e2,e2),e4) )],[refute_20_16,refute_20_70]) ).
cnf(refute_20_72,plain,
( op(e4,op(e2,e2)) != op(e4,e4)
| op(op(e2,e2),op(e2,e2)) != op(e4,op(e2,e2))
| op(op(e2,e2),op(e2,e2)) = op(e4,e4) ),
inference(subst,[],[refute_20_46:[bind(X,$fot(op(op(e2,e2),op(e2,e2)))),bind(Y,$fot(op(e4,op(e2,e2)))),bind(Z,$fot(op(e4,e4)))]]) ).
cnf(refute_20_73,plain,
( op(e4,op(e2,e2)) != op(e4,e4)
| op(op(e2,e2),op(e2,e2)) = op(e4,e4) ),
inference(resolve,[$cnf( $equal(op(op(e2,e2),op(e2,e2)),op(e4,op(e2,e2))) )],[refute_20_71,refute_20_72]) ).
cnf(refute_20_74,plain,
op(op(e2,e2),op(e2,e2)) = op(e4,e4),
inference(resolve,[$cnf( $equal(op(e4,op(e2,e2)),op(e4,e4)) )],[refute_20_67,refute_20_73]) ).
cnf(refute_20_75,plain,
( e0 != op(op(e2,e2),op(e2,e2))
| op(op(e2,e2),op(e2,e2)) != op(e4,e4)
| e0 = op(e4,e4) ),
introduced(tautology,[equality,[$cnf( ~ $equal(e0,op(e4,e4)) ),[0],$fot(op(op(e2,e2),op(e2,e2)))]]) ).
cnf(refute_20_76,plain,
( e0 != op(op(e2,e2),op(e2,e2))
| e0 = op(e4,e4) ),
inference(resolve,[$cnf( $equal(op(op(e2,e2),op(e2,e2)),op(e4,e4)) )],[refute_20_74,refute_20_75]) ).
cnf(refute_20_77,plain,
e0 = op(e4,e4),
inference(resolve,[$cnf( $equal(e0,op(op(e2,e2),op(e2,e2))) )],[refute_20_63,refute_20_76]) ).
cnf(refute_20_78,plain,
( e0 != op(e4,e4)
| op(e4,e4) = e0 ),
inference(subst,[],[refute_20_14:[bind(X,$fot(e0)),bind(Y,$fot(op(e4,e4)))]]) ).
cnf(refute_20_79,plain,
op(e4,e4) = e0,
inference(resolve,[$cnf( $equal(e0,op(e4,e4)) )],[refute_20_77,refute_20_78]) ).
cnf(refute_20_80,plain,
( op(e4,e4) != e0
| op(e4,e4) != e4
| e0 = e4 ),
introduced(tautology,[equality,[$cnf( $equal(op(e4,e4),e4) ),[0],$fot(e0)]]) ).
cnf(refute_20_81,plain,
( op(e4,e4) != e4
| e0 = e4 ),
inference(resolve,[$cnf( $equal(op(e4,e4),e0) )],[refute_20_79,refute_20_80]) ).
cnf(refute_20_82,plain,
( e0 = e4
| unit = e0
| unit = e1 ),
inference(resolve,[$cnf( $equal(op(e4,e4),e4) )],[refute_20_62,refute_20_81]) ).
cnf(refute_20_83,plain,
e0 != e4,
inference(canonicalize,[],[normalize_20_19]) ).
cnf(refute_20_84,plain,
( unit = e0
| unit = e1 ),
inference(resolve,[$cnf( $equal(e0,e4) )],[refute_20_82,refute_20_83]) ).
cnf(refute_20_85,plain,
( op(e4,unit) != e4
| unit != e0
| op(e4,e0) = e4 ),
introduced(tautology,[equality,[$cnf( $equal(op(e4,unit),e4) ),[0,1],$fot(e0)]]) ).
cnf(refute_20_86,plain,
( op(e4,unit) != e4
| op(e4,e0) = e4
| unit = e1 ),
inference(resolve,[$cnf( $equal(unit,e0) )],[refute_20_84,refute_20_85]) ).
cnf(refute_20_87,plain,
( op(e4,e0) = e4
| unit = e1 ),
inference(resolve,[$cnf( $equal(op(e4,unit),e4) )],[refute_20_4,refute_20_86]) ).
cnf(refute_20_88,plain,
( op(e4,e0) != e4
| op(e4,e4) != e0
| op(op(e4,e0),e4) = e0 ),
introduced(tautology,[equality,[$cnf( ~ $equal(op(op(e4,e0),e4),e0) ),[0,0],$fot(e4)]]) ).
cnf(refute_20_89,plain,
( op(e4,e4) != e0
| op(op(e4,e0),e4) = e0
| unit = e1 ),
inference(resolve,[$cnf( $equal(op(e4,e0),e4) )],[refute_20_87,refute_20_88]) ).
cnf(refute_20_90,plain,
( op(e4,e4) != e0
| unit = e1 ),
inference(resolve,[$cnf( $equal(op(op(e4,e0),e4),e0) )],[refute_20_89,refute_20_3]) ).
cnf(refute_20_91,plain,
( e0 != e0
| op(e4,e4) != e0
| op(e4,e4) = e0 ),
introduced(tautology,[equality,[$cnf( $equal(op(e4,e4),e0) ),[1],$fot(e0)]]) ).
cnf(refute_20_92,plain,
( e0 != e0
| op(e4,e4) = e0 ),
inference(resolve,[$cnf( $equal(op(e4,e4),e0) )],[refute_20_79,refute_20_91]) ).
cnf(refute_20_93,plain,
( e0 != e0
| unit = e1 ),
inference(resolve,[$cnf( $equal(op(e4,e4),e0) )],[refute_20_92,refute_20_90]) ).
cnf(refute_20_94,plain,
e0 = e0,
introduced(tautology,[refl,[$fot(e0)]]) ).
cnf(refute_20_95,plain,
unit = e1,
inference(resolve,[$cnf( $equal(e0,e0) )],[refute_20_94,refute_20_93]) ).
cnf(refute_20_96,plain,
op(e0,unit) = op(e0,unit),
introduced(tautology,[refl,[$fot(op(e0,unit))]]) ).
cnf(refute_20_97,plain,
( op(e0,unit) != op(e0,unit)
| unit != e1
| op(e0,unit) = op(e0,e1) ),
introduced(tautology,[equality,[$cnf( $equal(op(e0,unit),op(e0,unit)) ),[1,1],$fot(e1)]]) ).
cnf(refute_20_98,plain,
( unit != e1
| op(e0,unit) = op(e0,e1) ),
inference(resolve,[$cnf( $equal(op(e0,unit),op(e0,unit)) )],[refute_20_96,refute_20_97]) ).
cnf(refute_20_99,plain,
op(e0,unit) = op(e0,e1),
inference(resolve,[$cnf( $equal(unit,e1) )],[refute_20_95,refute_20_98]) ).
cnf(refute_20_100,plain,
( op(e0,unit) != e0
| op(e0,unit) != op(e0,e1)
| op(e0,e1) = e0 ),
introduced(tautology,[equality,[$cnf( $equal(op(e0,unit),e0) ),[0],$fot(op(e0,e1))]]) ).
cnf(refute_20_101,plain,
( op(e0,unit) != e0
| op(e0,e1) = e0 ),
inference(resolve,[$cnf( $equal(op(e0,unit),op(e0,e1)) )],[refute_20_99,refute_20_100]) ).
cnf(refute_20_102,plain,
op(e0,e1) = e0,
inference(resolve,[$cnf( $equal(op(e0,unit),e0) )],[refute_20_2,refute_20_101]) ).
cnf(refute_20_103,plain,
( e0 != op(e0,e3)
| op(e0,e1) != e0
| op(e0,e1) = op(e0,e3) ),
introduced(tautology,[equality,[$cnf( $equal(op(e0,e1),e0) ),[1],$fot(op(e0,e3))]]) ).
cnf(refute_20_104,plain,
( e0 != op(e0,e3)
| op(e0,e1) = op(e0,e3) ),
inference(resolve,[$cnf( $equal(op(e0,e1),e0) )],[refute_20_102,refute_20_103]) ).
cnf(refute_20_105,plain,
e0 != op(e0,e3),
inference(resolve,[$cnf( $equal(op(e0,e1),op(e0,e3)) )],[refute_20_104,refute_20_1]) ).
cnf(refute_20_106,plain,
( op(e0,e3) != e0
| e0 = op(e0,e3) ),
inference(subst,[],[refute_20_14:[bind(X,$fot(op(e0,e3))),bind(Y,$fot(e0))]]) ).
cnf(refute_20_107,plain,
op(e0,e3) != e0,
inference(resolve,[$cnf( $equal(e0,op(e0,e3)) )],[refute_20_106,refute_20_105]) ).
cnf(refute_20_108,plain,
( op(e0,e3) = e1
| op(e0,e3) = e2
| op(e0,e3) = e3
| op(e0,e3) = e4 ),
inference(resolve,[$cnf( $equal(op(e0,e3),e0) )],[refute_20_0,refute_20_107]) ).
cnf(refute_20_109,plain,
op(e0,e3) != op(e4,e3),
inference(canonicalize,[],[normalize_20_20]) ).
cnf(refute_20_110,plain,
( op(e4,e0) = e2
| op(e4,e1) = e2
| op(e4,e2) = e2
| op(e4,e3) = e2
| op(e4,e4) = e2 ),
inference(canonicalize,[],[normalize_20_22]) ).
cnf(refute_20_111,plain,
op(e4,unit) = op(e4,unit),
introduced(tautology,[refl,[$fot(op(e4,unit))]]) ).
cnf(refute_20_112,plain,
( op(e4,unit) != op(e4,unit)
| unit != e1
| op(e4,unit) = op(e4,e1) ),
introduced(tautology,[equality,[$cnf( $equal(op(e4,unit),op(e4,unit)) ),[1,1],$fot(e1)]]) ).
cnf(refute_20_113,plain,
( unit != e1
| op(e4,unit) = op(e4,e1) ),
inference(resolve,[$cnf( $equal(op(e4,unit),op(e4,unit)) )],[refute_20_111,refute_20_112]) ).
cnf(refute_20_114,plain,
op(e4,unit) = op(e4,e1),
inference(resolve,[$cnf( $equal(unit,e1) )],[refute_20_95,refute_20_113]) ).
cnf(refute_20_115,plain,
( op(e4,unit) != e4
| op(e4,unit) != op(e4,e1)
| op(e4,e1) = e4 ),
introduced(tautology,[equality,[$cnf( $equal(op(e4,unit),e4) ),[0],$fot(op(e4,e1))]]) ).
cnf(refute_20_116,plain,
( op(e4,unit) != e4
| op(e4,e1) = e4 ),
inference(resolve,[$cnf( $equal(op(e4,unit),op(e4,e1)) )],[refute_20_114,refute_20_115]) ).
cnf(refute_20_117,plain,
op(e4,e1) = e4,
inference(resolve,[$cnf( $equal(op(e4,unit),e4) )],[refute_20_4,refute_20_116]) ).
cnf(refute_20_118,plain,
( op(e4,e1) != e2
| op(e4,e1) != e4
| e4 = e2 ),
introduced(tautology,[equality,[$cnf( $equal(op(e4,e1),e2) ),[0],$fot(e4)]]) ).
cnf(refute_20_119,plain,
( op(e4,e1) != e2
| e4 = e2 ),
inference(resolve,[$cnf( $equal(op(e4,e1),e4) )],[refute_20_117,refute_20_118]) ).
cnf(refute_20_120,plain,
( e4 = e2
| op(e4,e0) = e2
| op(e4,e2) = e2
| op(e4,e3) = e2
| op(e4,e4) = e2 ),
inference(resolve,[$cnf( $equal(op(e4,e1),e2) )],[refute_20_110,refute_20_119]) ).
cnf(refute_20_121,plain,
( op(e4,e4) != e0
| op(e4,e4) != e2
| e0 = e2 ),
introduced(tautology,[equality,[$cnf( $equal(op(e4,e4),e2) ),[0],$fot(e0)]]) ).
cnf(refute_20_122,plain,
( op(e4,e4) != e2
| e0 = e2 ),
inference(resolve,[$cnf( $equal(op(e4,e4),e0) )],[refute_20_79,refute_20_121]) ).
cnf(refute_20_123,plain,
( e0 = e2
| e4 = e2
| op(e4,e0) = e2
| op(e4,e2) = e2
| op(e4,e3) = e2 ),
inference(resolve,[$cnf( $equal(op(e4,e4),e2) )],[refute_20_120,refute_20_122]) ).
cnf(refute_20_124,plain,
e0 != e2,
inference(canonicalize,[],[normalize_20_23]) ).
cnf(refute_20_125,plain,
( e4 = e2
| op(e4,e0) = e2
| op(e4,e2) = e2
| op(e4,e3) = e2 ),
inference(resolve,[$cnf( $equal(e0,e2) )],[refute_20_123,refute_20_124]) ).
cnf(refute_20_126,plain,
e2 != e4,
inference(canonicalize,[],[normalize_20_24]) ).
cnf(refute_20_127,plain,
( e4 != e2
| e2 = e4 ),
inference(subst,[],[refute_20_14:[bind(X,$fot(e4)),bind(Y,$fot(e2))]]) ).
cnf(refute_20_128,plain,
e4 != e2,
inference(resolve,[$cnf( $equal(e2,e4) )],[refute_20_127,refute_20_126]) ).
cnf(refute_20_129,plain,
( op(e4,e0) = e2
| op(e4,e2) = e2
| op(e4,e3) = e2 ),
inference(resolve,[$cnf( $equal(e4,e2) )],[refute_20_125,refute_20_128]) ).
cnf(refute_20_130,plain,
op(e1,e2) != op(e4,e2),
inference(canonicalize,[],[normalize_20_25]) ).
cnf(refute_20_131,plain,
op(unit,e2) = e2,
inference(canonicalize,[],[normalize_20_26]) ).
cnf(refute_20_132,plain,
op(unit,e2) = op(unit,e2),
introduced(tautology,[refl,[$fot(op(unit,e2))]]) ).
cnf(refute_20_133,plain,
( op(unit,e2) != op(unit,e2)
| unit != e1
| op(unit,e2) = op(e1,e2) ),
introduced(tautology,[equality,[$cnf( $equal(op(unit,e2),op(unit,e2)) ),[1,0],$fot(e1)]]) ).
cnf(refute_20_134,plain,
( unit != e1
| op(unit,e2) = op(e1,e2) ),
inference(resolve,[$cnf( $equal(op(unit,e2),op(unit,e2)) )],[refute_20_132,refute_20_133]) ).
cnf(refute_20_135,plain,
op(unit,e2) = op(e1,e2),
inference(resolve,[$cnf( $equal(unit,e1) )],[refute_20_95,refute_20_134]) ).
cnf(refute_20_136,plain,
( op(unit,e2) != e2
| op(unit,e2) != op(e1,e2)
| op(e1,e2) = e2 ),
introduced(tautology,[equality,[$cnf( $equal(op(unit,e2),e2) ),[0],$fot(op(e1,e2))]]) ).
cnf(refute_20_137,plain,
( op(unit,e2) != e2
| op(e1,e2) = e2 ),
inference(resolve,[$cnf( $equal(op(unit,e2),op(e1,e2)) )],[refute_20_135,refute_20_136]) ).
cnf(refute_20_138,plain,
op(e1,e2) = e2,
inference(resolve,[$cnf( $equal(op(unit,e2),e2) )],[refute_20_131,refute_20_137]) ).
cnf(refute_20_139,plain,
( e2 != op(e4,e2)
| op(e1,e2) != e2
| op(e1,e2) = op(e4,e2) ),
introduced(tautology,[equality,[$cnf( $equal(op(e1,e2),e2) ),[1],$fot(op(e4,e2))]]) ).
cnf(refute_20_140,plain,
( e2 != op(e4,e2)
| op(e1,e2) = op(e4,e2) ),
inference(resolve,[$cnf( $equal(op(e1,e2),e2) )],[refute_20_138,refute_20_139]) ).
cnf(refute_20_141,plain,
e2 != op(e4,e2),
inference(resolve,[$cnf( $equal(op(e1,e2),op(e4,e2)) )],[refute_20_140,refute_20_130]) ).
cnf(refute_20_142,plain,
( op(e4,e2) != e2
| e2 = op(e4,e2) ),
inference(subst,[],[refute_20_14:[bind(X,$fot(op(e4,e2))),bind(Y,$fot(e2))]]) ).
cnf(refute_20_143,plain,
op(e4,e2) != e2,
inference(resolve,[$cnf( $equal(e2,op(e4,e2)) )],[refute_20_142,refute_20_141]) ).
cnf(refute_20_144,plain,
( op(e4,e0) = e2
| op(e4,e3) = e2 ),
inference(resolve,[$cnf( $equal(op(e4,e2),e2) )],[refute_20_129,refute_20_143]) ).
cnf(refute_20_145,plain,
( op(e0,e3) != e2
| op(e4,e3) != e2
| op(e0,e3) = op(e4,e3) ),
introduced(tautology,[equality,[$cnf( ~ $equal(op(e0,e3),op(e4,e3)) ),[1],$fot(e2)]]) ).
cnf(refute_20_146,plain,
( op(e0,e3) != e2
| op(e0,e3) = op(e4,e3)
| op(e4,e0) = e2 ),
inference(resolve,[$cnf( $equal(op(e4,e3),e2) )],[refute_20_144,refute_20_145]) ).
cnf(refute_20_147,plain,
( op(e0,e3) != e2
| op(e4,e0) = e2 ),
inference(resolve,[$cnf( $equal(op(e0,e3),op(e4,e3)) )],[refute_20_146,refute_20_109]) ).
cnf(refute_20_148,plain,
op(e3,e0) != op(e4,e0),
inference(canonicalize,[],[normalize_20_27]) ).
cnf(refute_20_149,plain,
op(e0,e0) != op(e3,e0),
inference(canonicalize,[],[normalize_20_28]) ).
cnf(refute_20_150,plain,
( op(e3,e0) = e0
| op(e3,e0) = e1
| op(e3,e0) = e2
| op(e3,e0) = e3
| op(e3,e0) = e4 ),
inference(canonicalize,[],[normalize_20_29]) ).
cnf(refute_20_151,plain,
op(e1,e0) != op(e3,e0),
inference(canonicalize,[],[normalize_20_30]) ).
cnf(refute_20_152,plain,
op(unit,e0) = e0,
inference(canonicalize,[],[normalize_20_31]) ).
cnf(refute_20_153,plain,
op(unit,e0) = op(unit,e0),
introduced(tautology,[refl,[$fot(op(unit,e0))]]) ).
cnf(refute_20_154,plain,
( op(unit,e0) != op(unit,e0)
| unit != e1
| op(unit,e0) = op(e1,e0) ),
introduced(tautology,[equality,[$cnf( $equal(op(unit,e0),op(unit,e0)) ),[1,0],$fot(e1)]]) ).
cnf(refute_20_155,plain,
( unit != e1
| op(unit,e0) = op(e1,e0) ),
inference(resolve,[$cnf( $equal(op(unit,e0),op(unit,e0)) )],[refute_20_153,refute_20_154]) ).
cnf(refute_20_156,plain,
op(unit,e0) = op(e1,e0),
inference(resolve,[$cnf( $equal(unit,e1) )],[refute_20_95,refute_20_155]) ).
cnf(refute_20_157,plain,
( op(unit,e0) != e0
| op(unit,e0) != op(e1,e0)
| op(e1,e0) = e0 ),
introduced(tautology,[equality,[$cnf( $equal(op(unit,e0),e0) ),[0],$fot(op(e1,e0))]]) ).
cnf(refute_20_158,plain,
( op(unit,e0) != e0
| op(e1,e0) = e0 ),
inference(resolve,[$cnf( $equal(op(unit,e0),op(e1,e0)) )],[refute_20_156,refute_20_157]) ).
cnf(refute_20_159,plain,
op(e1,e0) = e0,
inference(resolve,[$cnf( $equal(op(unit,e0),e0) )],[refute_20_152,refute_20_158]) ).
cnf(refute_20_160,plain,
( e0 != op(e3,e0)
| op(e1,e0) != e0
| op(e1,e0) = op(e3,e0) ),
introduced(tautology,[equality,[$cnf( $equal(op(e1,e0),e0) ),[1],$fot(op(e3,e0))]]) ).
cnf(refute_20_161,plain,
( e0 != op(e3,e0)
| op(e1,e0) = op(e3,e0) ),
inference(resolve,[$cnf( $equal(op(e1,e0),e0) )],[refute_20_159,refute_20_160]) ).
cnf(refute_20_162,plain,
e0 != op(e3,e0),
inference(resolve,[$cnf( $equal(op(e1,e0),op(e3,e0)) )],[refute_20_161,refute_20_151]) ).
cnf(refute_20_163,plain,
( op(e3,e0) != e0
| e0 = op(e3,e0) ),
inference(subst,[],[refute_20_14:[bind(X,$fot(op(e3,e0))),bind(Y,$fot(e0))]]) ).
cnf(refute_20_164,plain,
op(e3,e0) != e0,
inference(resolve,[$cnf( $equal(e0,op(e3,e0)) )],[refute_20_163,refute_20_162]) ).
cnf(refute_20_165,plain,
( op(e3,e0) = e1
| op(e3,e0) = e2
| op(e3,e0) = e3
| op(e3,e0) = e4 ),
inference(resolve,[$cnf( $equal(op(e3,e0),e0) )],[refute_20_150,refute_20_164]) ).
cnf(refute_20_166,plain,
op(e3,e0) != op(e3,e4),
inference(canonicalize,[],[normalize_20_32]) ).
cnf(refute_20_167,plain,
( op(e3,e0) != e1
| op(e3,e4) != e1
| op(e3,e0) = op(e3,e4) ),
introduced(tautology,[equality,[$cnf( ~ $equal(op(e3,e0),op(e3,e4)) ),[1],$fot(e1)]]) ).
cnf(refute_20_168,plain,
( op(e3,e0) != e1
| op(e3,e0) = op(e3,e4) ),
inference(resolve,[$cnf( $equal(op(e3,e4),e1) )],[refute_20_54,refute_20_167]) ).
cnf(refute_20_169,plain,
op(e3,e0) != e1,
inference(resolve,[$cnf( $equal(op(e3,e0),op(e3,e4)) )],[refute_20_168,refute_20_166]) ).
cnf(refute_20_170,plain,
( op(e3,e0) = e2
| op(e3,e0) = e3
| op(e3,e0) = e4 ),
inference(resolve,[$cnf( $equal(op(e3,e0),e1) )],[refute_20_165,refute_20_169]) ).
cnf(refute_20_171,plain,
op(e3,e0) != op(e3,e1),
inference(canonicalize,[],[normalize_20_33]) ).
cnf(refute_20_172,plain,
op(e3,unit) = e3,
inference(canonicalize,[],[normalize_20_34]) ).
cnf(refute_20_173,plain,
op(e3,unit) = op(e3,unit),
introduced(tautology,[refl,[$fot(op(e3,unit))]]) ).
cnf(refute_20_174,plain,
( op(e3,unit) != op(e3,unit)
| unit != e1
| op(e3,unit) = op(e3,e1) ),
introduced(tautology,[equality,[$cnf( $equal(op(e3,unit),op(e3,unit)) ),[1,1],$fot(e1)]]) ).
cnf(refute_20_175,plain,
( unit != e1
| op(e3,unit) = op(e3,e1) ),
inference(resolve,[$cnf( $equal(op(e3,unit),op(e3,unit)) )],[refute_20_173,refute_20_174]) ).
cnf(refute_20_176,plain,
op(e3,unit) = op(e3,e1),
inference(resolve,[$cnf( $equal(unit,e1) )],[refute_20_95,refute_20_175]) ).
cnf(refute_20_177,plain,
( op(e3,unit) != e3
| op(e3,unit) != op(e3,e1)
| op(e3,e1) = e3 ),
introduced(tautology,[equality,[$cnf( $equal(op(e3,unit),e3) ),[0],$fot(op(e3,e1))]]) ).
cnf(refute_20_178,plain,
( op(e3,unit) != e3
| op(e3,e1) = e3 ),
inference(resolve,[$cnf( $equal(op(e3,unit),op(e3,e1)) )],[refute_20_176,refute_20_177]) ).
cnf(refute_20_179,plain,
op(e3,e1) = e3,
inference(resolve,[$cnf( $equal(op(e3,unit),e3) )],[refute_20_172,refute_20_178]) ).
cnf(refute_20_180,plain,
( op(e3,e0) != e3
| op(e3,e1) != e3
| op(e3,e0) = op(e3,e1) ),
introduced(tautology,[equality,[$cnf( ~ $equal(op(e3,e0),op(e3,e1)) ),[1],$fot(e3)]]) ).
cnf(refute_20_181,plain,
( op(e3,e0) != e3
| op(e3,e0) = op(e3,e1) ),
inference(resolve,[$cnf( $equal(op(e3,e1),e3) )],[refute_20_179,refute_20_180]) ).
cnf(refute_20_182,plain,
op(e3,e0) != e3,
inference(resolve,[$cnf( $equal(op(e3,e0),op(e3,e1)) )],[refute_20_181,refute_20_171]) ).
cnf(refute_20_183,plain,
( op(e3,e0) = e2
| op(e3,e0) = e4 ),
inference(resolve,[$cnf( $equal(op(e3,e0),e3) )],[refute_20_170,refute_20_182]) ).
cnf(refute_20_184,plain,
( op(e0,e0) != e4
| op(e3,e0) != e4
| op(e0,e0) = op(e3,e0) ),
introduced(tautology,[equality,[$cnf( ~ $equal(op(e0,e0),op(e3,e0)) ),[1],$fot(e4)]]) ).
cnf(refute_20_185,plain,
( op(e0,e0) != e4
| op(e0,e0) = op(e3,e0)
| op(e3,e0) = e2 ),
inference(resolve,[$cnf( $equal(op(e3,e0),e4) )],[refute_20_183,refute_20_184]) ).
cnf(refute_20_186,plain,
( op(e0,e0) != e4
| op(e3,e0) = e2 ),
inference(resolve,[$cnf( $equal(op(e0,e0),op(e3,e0)) )],[refute_20_185,refute_20_149]) ).
cnf(refute_20_187,plain,
op(op(e4,e0),e0) = e4,
inference(canonicalize,[],[normalize_20_35]) ).
cnf(refute_20_188,plain,
op(e3,e3) != op(e4,e3),
inference(canonicalize,[],[normalize_20_36]) ).
cnf(refute_20_189,plain,
op(e3,e0) != op(e3,e3),
inference(canonicalize,[],[normalize_20_37]) ).
cnf(refute_20_190,plain,
( op(e0,e0) = e4
| op(e1,e0) = e4
| op(e2,e0) = e4
| op(e3,e0) = e4
| op(e4,e0) = e4 ),
inference(canonicalize,[],[normalize_20_38]) ).
cnf(refute_20_191,plain,
op(e2,e0) != op(e2,e2),
inference(canonicalize,[],[normalize_20_39]) ).
cnf(refute_20_192,plain,
( op(e2,e0) != e4
| op(e2,e2) != e4
| op(e2,e0) = op(e2,e2) ),
introduced(tautology,[equality,[$cnf( ~ $equal(op(e2,e0),op(e2,e2)) ),[1],$fot(e4)]]) ).
cnf(refute_20_193,plain,
( op(e2,e0) != e4
| op(e2,e0) = op(e2,e2) ),
inference(resolve,[$cnf( $equal(op(e2,e2),e4) )],[refute_20_16,refute_20_192]) ).
cnf(refute_20_194,plain,
op(e2,e0) != e4,
inference(resolve,[$cnf( $equal(op(e2,e0),op(e2,e2)) )],[refute_20_193,refute_20_191]) ).
cnf(refute_20_195,plain,
( op(e0,e0) = e4
| op(e1,e0) = e4
| op(e3,e0) = e4
| op(e4,e0) = e4 ),
inference(resolve,[$cnf( $equal(op(e2,e0),e4) )],[refute_20_190,refute_20_194]) ).
cnf(refute_20_196,plain,
( op(e1,e0) != e0
| op(e1,e0) != e4
| e0 = e4 ),
introduced(tautology,[equality,[$cnf( $equal(op(e1,e0),e4) ),[0],$fot(e0)]]) ).
cnf(refute_20_197,plain,
( op(e1,e0) != e4
| e0 = e4 ),
inference(resolve,[$cnf( $equal(op(e1,e0),e0) )],[refute_20_159,refute_20_196]) ).
cnf(refute_20_198,plain,
( e0 = e4
| op(e0,e0) = e4
| op(e3,e0) = e4
| op(e4,e0) = e4 ),
inference(resolve,[$cnf( $equal(op(e1,e0),e4) )],[refute_20_195,refute_20_197]) ).
cnf(refute_20_199,plain,
( op(e0,e0) = e4
| op(e3,e0) = e4
| op(e4,e0) = e4 ),
inference(resolve,[$cnf( $equal(e0,e4) )],[refute_20_198,refute_20_83]) ).
cnf(refute_20_200,plain,
op(e4,e0) != op(e4,e1),
inference(canonicalize,[],[normalize_20_40]) ).
cnf(refute_20_201,plain,
( op(e4,e0) != e4
| op(e4,e1) != e4
| op(e4,e0) = op(e4,e1) ),
introduced(tautology,[equality,[$cnf( ~ $equal(op(e4,e0),op(e4,e1)) ),[1],$fot(e4)]]) ).
cnf(refute_20_202,plain,
( op(e4,e0) != e4
| op(e4,e0) = op(e4,e1) ),
inference(resolve,[$cnf( $equal(op(e4,e1),e4) )],[refute_20_117,refute_20_201]) ).
cnf(refute_20_203,plain,
op(e4,e0) != e4,
inference(resolve,[$cnf( $equal(op(e4,e0),op(e4,e1)) )],[refute_20_202,refute_20_200]) ).
cnf(refute_20_204,plain,
( op(e0,e0) = e4
| op(e3,e0) = e4 ),
inference(resolve,[$cnf( $equal(op(e4,e0),e4) )],[refute_20_199,refute_20_203]) ).
cnf(refute_20_205,plain,
( e4 != op(e3,e3)
| op(e3,e0) != e4
| op(e3,e0) = op(e3,e3) ),
introduced(tautology,[equality,[$cnf( $equal(op(e3,e0),e4) ),[1],$fot(op(e3,e3))]]) ).
cnf(refute_20_206,plain,
( e4 != op(e3,e3)
| op(e0,e0) = e4
| op(e3,e0) = op(e3,e3) ),
inference(resolve,[$cnf( $equal(op(e3,e0),e4) )],[refute_20_204,refute_20_205]) ).
cnf(refute_20_207,plain,
( e4 != op(e3,e3)
| op(e0,e0) = e4 ),
inference(resolve,[$cnf( $equal(op(e3,e0),op(e3,e3)) )],[refute_20_206,refute_20_189]) ).
cnf(refute_20_208,plain,
( op(e3,e3) = e0
| op(e3,e3) = e1
| op(e3,e3) = e2
| op(e3,e3) = e3
| op(e3,e3) = e4 ),
inference(canonicalize,[],[normalize_20_41]) ).
cnf(refute_20_209,plain,
op(e3,e2) != op(e3,e3),
inference(canonicalize,[],[normalize_20_42]) ).
cnf(refute_20_210,plain,
( op(e3,e2) = e0
| op(e3,e2) = e1
| op(e3,e2) = e2
| op(e3,e2) = e3
| op(e3,e2) = e4 ),
inference(canonicalize,[],[normalize_20_43]) ).
cnf(refute_20_211,plain,
op(e2,e2) != op(e3,e2),
inference(canonicalize,[],[normalize_20_44]) ).
cnf(refute_20_212,plain,
( e4 != op(e3,e2)
| op(e2,e2) != e4
| op(e2,e2) = op(e3,e2) ),
introduced(tautology,[equality,[$cnf( $equal(op(e2,e2),e4) ),[1],$fot(op(e3,e2))]]) ).
cnf(refute_20_213,plain,
( e4 != op(e3,e2)
| op(e2,e2) = op(e3,e2) ),
inference(resolve,[$cnf( $equal(op(e2,e2),e4) )],[refute_20_16,refute_20_212]) ).
cnf(refute_20_214,plain,
e4 != op(e3,e2),
inference(resolve,[$cnf( $equal(op(e2,e2),op(e3,e2)) )],[refute_20_213,refute_20_211]) ).
cnf(refute_20_215,plain,
( op(e3,e2) != e4
| e4 = op(e3,e2) ),
inference(subst,[],[refute_20_14:[bind(X,$fot(op(e3,e2))),bind(Y,$fot(e4))]]) ).
cnf(refute_20_216,plain,
op(e3,e2) != e4,
inference(resolve,[$cnf( $equal(e4,op(e3,e2)) )],[refute_20_215,refute_20_214]) ).
cnf(refute_20_217,plain,
( op(e3,e2) = e0
| op(e3,e2) = e1
| op(e3,e2) = e2
| op(e3,e2) = e3 ),
inference(resolve,[$cnf( $equal(op(e3,e2),e4) )],[refute_20_210,refute_20_216]) ).
cnf(refute_20_218,plain,
op(e3,e2) != op(e3,e4),
inference(canonicalize,[],[normalize_20_45]) ).
cnf(refute_20_219,plain,
( op(e3,e2) != e1
| op(e3,e4) != e1
| op(e3,e2) = op(e3,e4) ),
introduced(tautology,[equality,[$cnf( ~ $equal(op(e3,e2),op(e3,e4)) ),[1],$fot(e1)]]) ).
cnf(refute_20_220,plain,
( op(e3,e2) != e1
| op(e3,e2) = op(e3,e4) ),
inference(resolve,[$cnf( $equal(op(e3,e4),e1) )],[refute_20_54,refute_20_219]) ).
cnf(refute_20_221,plain,
op(e3,e2) != e1,
inference(resolve,[$cnf( $equal(op(e3,e2),op(e3,e4)) )],[refute_20_220,refute_20_218]) ).
cnf(refute_20_222,plain,
( op(e3,e2) = e0
| op(e3,e2) = e2
| op(e3,e2) = e3 ),
inference(resolve,[$cnf( $equal(op(e3,e2),e1) )],[refute_20_217,refute_20_221]) ).
cnf(refute_20_223,plain,
op(e1,e2) != op(e3,e2),
inference(canonicalize,[],[normalize_20_46]) ).
cnf(refute_20_224,plain,
( e2 != op(e3,e2)
| op(e1,e2) != e2
| op(e1,e2) = op(e3,e2) ),
introduced(tautology,[equality,[$cnf( $equal(op(e1,e2),e2) ),[1],$fot(op(e3,e2))]]) ).
cnf(refute_20_225,plain,
( e2 != op(e3,e2)
| op(e1,e2) = op(e3,e2) ),
inference(resolve,[$cnf( $equal(op(e1,e2),e2) )],[refute_20_138,refute_20_224]) ).
cnf(refute_20_226,plain,
e2 != op(e3,e2),
inference(resolve,[$cnf( $equal(op(e1,e2),op(e3,e2)) )],[refute_20_225,refute_20_223]) ).
cnf(refute_20_227,plain,
( op(e3,e2) != e2
| e2 = op(e3,e2) ),
inference(subst,[],[refute_20_14:[bind(X,$fot(op(e3,e2))),bind(Y,$fot(e2))]]) ).
cnf(refute_20_228,plain,
op(e3,e2) != e2,
inference(resolve,[$cnf( $equal(e2,op(e3,e2)) )],[refute_20_227,refute_20_226]) ).
cnf(refute_20_229,plain,
( op(e3,e2) = e0
| op(e3,e2) = e3 ),
inference(resolve,[$cnf( $equal(op(e3,e2),e2) )],[refute_20_222,refute_20_228]) ).
cnf(refute_20_230,plain,
op(e3,e1) != op(e3,e2),
inference(canonicalize,[],[normalize_20_47]) ).
cnf(refute_20_231,plain,
( e3 != op(e3,e2)
| op(e3,e1) != e3
| op(e3,e1) = op(e3,e2) ),
introduced(tautology,[equality,[$cnf( $equal(op(e3,e1),e3) ),[1],$fot(op(e3,e2))]]) ).
cnf(refute_20_232,plain,
( e3 != op(e3,e2)
| op(e3,e1) = op(e3,e2) ),
inference(resolve,[$cnf( $equal(op(e3,e1),e3) )],[refute_20_179,refute_20_231]) ).
cnf(refute_20_233,plain,
e3 != op(e3,e2),
inference(resolve,[$cnf( $equal(op(e3,e1),op(e3,e2)) )],[refute_20_232,refute_20_230]) ).
cnf(refute_20_234,plain,
( op(e3,e2) != e3
| e3 = op(e3,e2) ),
inference(subst,[],[refute_20_14:[bind(X,$fot(op(e3,e2))),bind(Y,$fot(e3))]]) ).
cnf(refute_20_235,plain,
op(e3,e2) != e3,
inference(resolve,[$cnf( $equal(e3,op(e3,e2)) )],[refute_20_234,refute_20_233]) ).
cnf(refute_20_236,plain,
op(e3,e2) = e0,
inference(resolve,[$cnf( $equal(op(e3,e2),e3) )],[refute_20_229,refute_20_235]) ).
cnf(refute_20_237,plain,
( e0 != op(e3,e3)
| op(e3,e2) != e0
| op(e3,e2) = op(e3,e3) ),
introduced(tautology,[equality,[$cnf( $equal(op(e3,e2),e0) ),[1],$fot(op(e3,e3))]]) ).
cnf(refute_20_238,plain,
( e0 != op(e3,e3)
| op(e3,e2) = op(e3,e3) ),
inference(resolve,[$cnf( $equal(op(e3,e2),e0) )],[refute_20_236,refute_20_237]) ).
cnf(refute_20_239,plain,
e0 != op(e3,e3),
inference(resolve,[$cnf( $equal(op(e3,e2),op(e3,e3)) )],[refute_20_238,refute_20_209]) ).
cnf(refute_20_240,plain,
( op(e3,e3) != e0
| e0 = op(e3,e3) ),
inference(subst,[],[refute_20_14:[bind(X,$fot(op(e3,e3))),bind(Y,$fot(e0))]]) ).
cnf(refute_20_241,plain,
op(e3,e3) != e0,
inference(resolve,[$cnf( $equal(e0,op(e3,e3)) )],[refute_20_240,refute_20_239]) ).
cnf(refute_20_242,plain,
( op(e3,e3) = e1
| op(e3,e3) = e2
| op(e3,e3) = e3
| op(e3,e3) = e4 ),
inference(resolve,[$cnf( $equal(op(e3,e3),e0) )],[refute_20_208,refute_20_241]) ).
cnf(refute_20_243,plain,
op(e3,e3) != op(e3,e4),
inference(canonicalize,[],[normalize_20_48]) ).
cnf(refute_20_244,plain,
( op(e3,e3) != e1
| op(e3,e4) != e1
| op(e3,e3) = op(e3,e4) ),
introduced(tautology,[equality,[$cnf( ~ $equal(op(e3,e3),op(e3,e4)) ),[1],$fot(e1)]]) ).
cnf(refute_20_245,plain,
( op(e3,e3) != e1
| op(e3,e3) = op(e3,e4) ),
inference(resolve,[$cnf( $equal(op(e3,e4),e1) )],[refute_20_54,refute_20_244]) ).
cnf(refute_20_246,plain,
op(e3,e3) != e1,
inference(resolve,[$cnf( $equal(op(e3,e3),op(e3,e4)) )],[refute_20_245,refute_20_243]) ).
cnf(refute_20_247,plain,
( op(e3,e3) = e2
| op(e3,e3) = e3
| op(e3,e3) = e4 ),
inference(resolve,[$cnf( $equal(op(e3,e3),e1) )],[refute_20_242,refute_20_246]) ).
cnf(refute_20_248,plain,
op(e1,e3) != op(e3,e3),
inference(canonicalize,[],[normalize_20_49]) ).
cnf(refute_20_249,plain,
op(unit,e3) = e3,
inference(canonicalize,[],[normalize_20_50]) ).
cnf(refute_20_250,plain,
op(unit,e3) = op(unit,e3),
introduced(tautology,[refl,[$fot(op(unit,e3))]]) ).
cnf(refute_20_251,plain,
( op(unit,e3) != op(unit,e3)
| unit != e1
| op(unit,e3) = op(e1,e3) ),
introduced(tautology,[equality,[$cnf( $equal(op(unit,e3),op(unit,e3)) ),[1,0],$fot(e1)]]) ).
cnf(refute_20_252,plain,
( unit != e1
| op(unit,e3) = op(e1,e3) ),
inference(resolve,[$cnf( $equal(op(unit,e3),op(unit,e3)) )],[refute_20_250,refute_20_251]) ).
cnf(refute_20_253,plain,
op(unit,e3) = op(e1,e3),
inference(resolve,[$cnf( $equal(unit,e1) )],[refute_20_95,refute_20_252]) ).
cnf(refute_20_254,plain,
( op(unit,e3) != e3
| op(unit,e3) != op(e1,e3)
| op(e1,e3) = e3 ),
introduced(tautology,[equality,[$cnf( $equal(op(unit,e3),e3) ),[0],$fot(op(e1,e3))]]) ).
cnf(refute_20_255,plain,
( op(unit,e3) != e3
| op(e1,e3) = e3 ),
inference(resolve,[$cnf( $equal(op(unit,e3),op(e1,e3)) )],[refute_20_253,refute_20_254]) ).
cnf(refute_20_256,plain,
op(e1,e3) = e3,
inference(resolve,[$cnf( $equal(op(unit,e3),e3) )],[refute_20_249,refute_20_255]) ).
cnf(refute_20_257,plain,
( e3 != op(e3,e3)
| op(e1,e3) != e3
| op(e1,e3) = op(e3,e3) ),
introduced(tautology,[equality,[$cnf( $equal(op(e1,e3),e3) ),[1],$fot(op(e3,e3))]]) ).
cnf(refute_20_258,plain,
( e3 != op(e3,e3)
| op(e1,e3) = op(e3,e3) ),
inference(resolve,[$cnf( $equal(op(e1,e3),e3) )],[refute_20_256,refute_20_257]) ).
cnf(refute_20_259,plain,
e3 != op(e3,e3),
inference(resolve,[$cnf( $equal(op(e1,e3),op(e3,e3)) )],[refute_20_258,refute_20_248]) ).
cnf(refute_20_260,plain,
( op(e3,e3) != e3
| e3 = op(e3,e3) ),
inference(subst,[],[refute_20_14:[bind(X,$fot(op(e3,e3))),bind(Y,$fot(e3))]]) ).
cnf(refute_20_261,plain,
op(e3,e3) != e3,
inference(resolve,[$cnf( $equal(e3,op(e3,e3)) )],[refute_20_260,refute_20_259]) ).
cnf(refute_20_262,plain,
( op(e3,e3) = e2
| op(e3,e3) = e4 ),
inference(resolve,[$cnf( $equal(op(e3,e3),e3) )],[refute_20_247,refute_20_261]) ).
cnf(refute_20_263,plain,
( e4 != e4
| op(e3,e3) != e4
| e4 = op(e3,e3) ),
introduced(tautology,[equality,[$cnf( ~ $equal(e4,op(e3,e3)) ),[1],$fot(e4)]]) ).
cnf(refute_20_264,plain,
( e4 != e4
| e4 = op(e3,e3)
| op(e3,e3) = e2 ),
inference(resolve,[$cnf( $equal(op(e3,e3),e4) )],[refute_20_262,refute_20_263]) ).
cnf(refute_20_265,plain,
( e4 != e4
| op(e0,e0) = e4
| op(e3,e3) = e2 ),
inference(resolve,[$cnf( $equal(e4,op(e3,e3)) )],[refute_20_264,refute_20_207]) ).
cnf(refute_20_266,plain,
e4 = e4,
introduced(tautology,[refl,[$fot(e4)]]) ).
cnf(refute_20_267,plain,
( op(e0,e0) = e4
| op(e3,e3) = e2 ),
inference(resolve,[$cnf( $equal(e4,e4) )],[refute_20_266,refute_20_265]) ).
cnf(refute_20_268,plain,
( e2 != op(e4,e3)
| op(e3,e3) != e2
| op(e3,e3) = op(e4,e3) ),
introduced(tautology,[equality,[$cnf( $equal(op(e3,e3),e2) ),[1],$fot(op(e4,e3))]]) ).
cnf(refute_20_269,plain,
( e2 != op(e4,e3)
| op(e0,e0) = e4
| op(e3,e3) = op(e4,e3) ),
inference(resolve,[$cnf( $equal(op(e3,e3),e2) )],[refute_20_267,refute_20_268]) ).
cnf(refute_20_270,plain,
( e2 != op(e4,e3)
| op(e0,e0) = e4 ),
inference(resolve,[$cnf( $equal(op(e3,e3),op(e4,e3)) )],[refute_20_269,refute_20_188]) ).
cnf(refute_20_271,plain,
( e2 != e2
| op(e4,e3) != e2
| e2 = op(e4,e3) ),
introduced(tautology,[equality,[$cnf( ~ $equal(e2,op(e4,e3)) ),[1],$fot(e2)]]) ).
cnf(refute_20_272,plain,
( e2 != e2
| e2 = op(e4,e3)
| op(e4,e0) = e2 ),
inference(resolve,[$cnf( $equal(op(e4,e3),e2) )],[refute_20_144,refute_20_271]) ).
cnf(refute_20_273,plain,
( e2 != e2
| op(e0,e0) = e4
| op(e4,e0) = e2 ),
inference(resolve,[$cnf( $equal(e2,op(e4,e3)) )],[refute_20_272,refute_20_270]) ).
cnf(refute_20_274,plain,
e2 = e2,
introduced(tautology,[refl,[$fot(e2)]]) ).
cnf(refute_20_275,plain,
( op(e0,e0) = e4
| op(e4,e0) = e2 ),
inference(resolve,[$cnf( $equal(e2,e2) )],[refute_20_274,refute_20_273]) ).
cnf(refute_20_276,plain,
( op(e4,e0) != e2
| op(op(e4,e0),e0) != e4
| op(e2,e0) = e4 ),
introduced(tautology,[equality,[$cnf( $equal(op(op(e4,e0),e0),e4) ),[0,0],$fot(e2)]]) ).
cnf(refute_20_277,plain,
( op(op(e4,e0),e0) != e4
| op(e0,e0) = e4
| op(e2,e0) = e4 ),
inference(resolve,[$cnf( $equal(op(e4,e0),e2) )],[refute_20_275,refute_20_276]) ).
cnf(refute_20_278,plain,
( op(e0,e0) = e4
| op(e2,e0) = e4 ),
inference(resolve,[$cnf( $equal(op(op(e4,e0),e0),e4) )],[refute_20_187,refute_20_277]) ).
cnf(refute_20_279,plain,
( op(e2,e0) = e1
| op(e2,e1) = e1
| op(e2,e2) = e1
| op(e2,e3) = e1
| op(e2,e4) = e1 ),
inference(canonicalize,[],[normalize_20_51]) ).
cnf(refute_20_280,plain,
( op(e2,e2) != e1
| op(e2,e2) != e4
| e4 = e1 ),
introduced(tautology,[equality,[$cnf( $equal(op(e2,e2),e1) ),[0],$fot(e4)]]) ).
cnf(refute_20_281,plain,
( op(e2,e2) != e1
| e4 = e1 ),
inference(resolve,[$cnf( $equal(op(e2,e2),e4) )],[refute_20_16,refute_20_280]) ).
cnf(refute_20_282,plain,
( e4 = e1
| op(e2,e0) = e1
| op(e2,e1) = e1
| op(e2,e3) = e1
| op(e2,e4) = e1 ),
inference(resolve,[$cnf( $equal(op(e2,e2),e1) )],[refute_20_279,refute_20_281]) ).
cnf(refute_20_283,plain,
( e4 != e1
| e1 = e4 ),
inference(subst,[],[refute_20_14:[bind(X,$fot(e4)),bind(Y,$fot(e1))]]) ).
cnf(refute_20_284,plain,
e4 != e1,
inference(resolve,[$cnf( $equal(e1,e4) )],[refute_20_283,refute_20_58]) ).
cnf(refute_20_285,plain,
( op(e2,e0) = e1
| op(e2,e1) = e1
| op(e2,e3) = e1
| op(e2,e4) = e1 ),
inference(resolve,[$cnf( $equal(e4,e1) )],[refute_20_282,refute_20_284]) ).
cnf(refute_20_286,plain,
op(e2,unit) = e2,
inference(canonicalize,[],[normalize_20_52]) ).
cnf(refute_20_287,plain,
op(e2,unit) = op(e2,unit),
introduced(tautology,[refl,[$fot(op(e2,unit))]]) ).
cnf(refute_20_288,plain,
( op(e2,unit) != op(e2,unit)
| unit != e1
| op(e2,unit) = op(e2,e1) ),
introduced(tautology,[equality,[$cnf( $equal(op(e2,unit),op(e2,unit)) ),[1,1],$fot(e1)]]) ).
cnf(refute_20_289,plain,
( unit != e1
| op(e2,unit) = op(e2,e1) ),
inference(resolve,[$cnf( $equal(op(e2,unit),op(e2,unit)) )],[refute_20_287,refute_20_288]) ).
cnf(refute_20_290,plain,
op(e2,unit) = op(e2,e1),
inference(resolve,[$cnf( $equal(unit,e1) )],[refute_20_95,refute_20_289]) ).
cnf(refute_20_291,plain,
( op(e2,unit) != e2
| op(e2,unit) != op(e2,e1)
| op(e2,e1) = e2 ),
introduced(tautology,[equality,[$cnf( $equal(op(e2,unit),e2) ),[0],$fot(op(e2,e1))]]) ).
cnf(refute_20_292,plain,
( op(e2,unit) != e2
| op(e2,e1) = e2 ),
inference(resolve,[$cnf( $equal(op(e2,unit),op(e2,e1)) )],[refute_20_290,refute_20_291]) ).
cnf(refute_20_293,plain,
op(e2,e1) = e2,
inference(resolve,[$cnf( $equal(op(e2,unit),e2) )],[refute_20_286,refute_20_292]) ).
cnf(refute_20_294,plain,
( op(e2,e1) != e1
| op(e2,e1) != e2
| e2 = e1 ),
introduced(tautology,[equality,[$cnf( $equal(op(e2,e1),e1) ),[0],$fot(e2)]]) ).
cnf(refute_20_295,plain,
( op(e2,e1) != e1
| e2 = e1 ),
inference(resolve,[$cnf( $equal(op(e2,e1),e2) )],[refute_20_293,refute_20_294]) ).
cnf(refute_20_296,plain,
( e2 = e1
| op(e2,e0) = e1
| op(e2,e3) = e1
| op(e2,e4) = e1 ),
inference(resolve,[$cnf( $equal(op(e2,e1),e1) )],[refute_20_285,refute_20_295]) ).
cnf(refute_20_297,plain,
( op(e2,e0) = e0
| op(e2,e1) = e0
| op(e2,e2) = e0
| op(e2,e3) = e0
| op(e2,e4) = e0 ),
inference(canonicalize,[],[normalize_20_53]) ).
cnf(refute_20_298,plain,
( op(e2,e2) != e0
| op(e2,e2) != e4
| e4 = e0 ),
introduced(tautology,[equality,[$cnf( $equal(op(e2,e2),e0) ),[0],$fot(e4)]]) ).
cnf(refute_20_299,plain,
( op(e2,e2) != e0
| e4 = e0 ),
inference(resolve,[$cnf( $equal(op(e2,e2),e4) )],[refute_20_16,refute_20_298]) ).
cnf(refute_20_300,plain,
( e4 = e0
| op(e2,e0) = e0
| op(e2,e1) = e0
| op(e2,e3) = e0
| op(e2,e4) = e0 ),
inference(resolve,[$cnf( $equal(op(e2,e2),e0) )],[refute_20_297,refute_20_299]) ).
cnf(refute_20_301,plain,
( e4 != e0
| e0 = e4 ),
inference(subst,[],[refute_20_14:[bind(X,$fot(e4)),bind(Y,$fot(e0))]]) ).
cnf(refute_20_302,plain,
e4 != e0,
inference(resolve,[$cnf( $equal(e0,e4) )],[refute_20_301,refute_20_83]) ).
cnf(refute_20_303,plain,
( op(e2,e0) = e0
| op(e2,e1) = e0
| op(e2,e3) = e0
| op(e2,e4) = e0 ),
inference(resolve,[$cnf( $equal(e4,e0) )],[refute_20_300,refute_20_302]) ).
cnf(refute_20_304,plain,
( op(e2,e1) != e0
| op(e2,e1) != e2
| e2 = e0 ),
introduced(tautology,[equality,[$cnf( $equal(op(e2,e1),e0) ),[0],$fot(e2)]]) ).
cnf(refute_20_305,plain,
( op(e2,e1) != e0
| e2 = e0 ),
inference(resolve,[$cnf( $equal(op(e2,e1),e2) )],[refute_20_293,refute_20_304]) ).
cnf(refute_20_306,plain,
( e2 = e0
| op(e2,e0) = e0
| op(e2,e3) = e0
| op(e2,e4) = e0 ),
inference(resolve,[$cnf( $equal(op(e2,e1),e0) )],[refute_20_303,refute_20_305]) ).
cnf(refute_20_307,plain,
( op(e2,e4) != e0
| op(e2,e4) != e3
| e3 = e0 ),
introduced(tautology,[equality,[$cnf( $equal(op(e2,e4),e0) ),[0],$fot(e3)]]) ).
cnf(refute_20_308,plain,
( op(e2,e4) != e0
| e3 = e0 ),
inference(resolve,[$cnf( $equal(op(e2,e4),e3) )],[refute_20_25,refute_20_307]) ).
cnf(refute_20_309,plain,
( e2 = e0
| e3 = e0
| op(e2,e0) = e0
| op(e2,e3) = e0 ),
inference(resolve,[$cnf( $equal(op(e2,e4),e0) )],[refute_20_306,refute_20_308]) ).
cnf(refute_20_310,plain,
( e2 != e0
| e0 = e2 ),
inference(subst,[],[refute_20_14:[bind(X,$fot(e2)),bind(Y,$fot(e0))]]) ).
cnf(refute_20_311,plain,
e2 != e0,
inference(resolve,[$cnf( $equal(e0,e2) )],[refute_20_310,refute_20_124]) ).
cnf(refute_20_312,plain,
( e3 = e0
| op(e2,e0) = e0
| op(e2,e3) = e0 ),
inference(resolve,[$cnf( $equal(e2,e0) )],[refute_20_309,refute_20_311]) ).
cnf(refute_20_313,plain,
e0 != e3,
inference(canonicalize,[],[normalize_20_54]) ).
cnf(refute_20_314,plain,
( e3 != e0
| e0 = e3 ),
inference(subst,[],[refute_20_14:[bind(X,$fot(e3)),bind(Y,$fot(e0))]]) ).
cnf(refute_20_315,plain,
e3 != e0,
inference(resolve,[$cnf( $equal(e0,e3) )],[refute_20_314,refute_20_313]) ).
cnf(refute_20_316,plain,
( op(e2,e0) = e0
| op(e2,e3) = e0 ),
inference(resolve,[$cnf( $equal(e3,e0) )],[refute_20_312,refute_20_315]) ).
cnf(refute_20_317,plain,
op(e1,e0) != op(e2,e0),
inference(canonicalize,[],[normalize_20_55]) ).
cnf(refute_20_318,plain,
( e0 != op(e2,e0)
| op(e1,e0) != e0
| op(e1,e0) = op(e2,e0) ),
introduced(tautology,[equality,[$cnf( $equal(op(e1,e0),e0) ),[1],$fot(op(e2,e0))]]) ).
cnf(refute_20_319,plain,
( e0 != op(e2,e0)
| op(e1,e0) = op(e2,e0) ),
inference(resolve,[$cnf( $equal(op(e1,e0),e0) )],[refute_20_159,refute_20_318]) ).
cnf(refute_20_320,plain,
e0 != op(e2,e0),
inference(resolve,[$cnf( $equal(op(e1,e0),op(e2,e0)) )],[refute_20_319,refute_20_317]) ).
cnf(refute_20_321,plain,
( op(e2,e0) != e0
| e0 = op(e2,e0) ),
inference(subst,[],[refute_20_14:[bind(X,$fot(op(e2,e0))),bind(Y,$fot(e0))]]) ).
cnf(refute_20_322,plain,
op(e2,e0) != e0,
inference(resolve,[$cnf( $equal(e0,op(e2,e0)) )],[refute_20_321,refute_20_320]) ).
cnf(refute_20_323,plain,
op(e2,e3) = e0,
inference(resolve,[$cnf( $equal(op(e2,e0),e0) )],[refute_20_316,refute_20_322]) ).
cnf(refute_20_324,plain,
( op(e2,e3) != e0
| op(e2,e3) != e1
| e0 = e1 ),
introduced(tautology,[equality,[$cnf( $equal(op(e2,e3),e1) ),[0],$fot(e0)]]) ).
cnf(refute_20_325,plain,
( op(e2,e3) != e1
| e0 = e1 ),
inference(resolve,[$cnf( $equal(op(e2,e3),e0) )],[refute_20_323,refute_20_324]) ).
cnf(refute_20_326,plain,
( e0 = e1
| e2 = e1
| op(e2,e0) = e1
| op(e2,e4) = e1 ),
inference(resolve,[$cnf( $equal(op(e2,e3),e1) )],[refute_20_296,refute_20_325]) ).
cnf(refute_20_327,plain,
( op(e2,e4) != e1
| op(e2,e4) != e3
| e3 = e1 ),
introduced(tautology,[equality,[$cnf( $equal(op(e2,e4),e1) ),[0],$fot(e3)]]) ).
cnf(refute_20_328,plain,
( op(e2,e4) != e1
| e3 = e1 ),
inference(resolve,[$cnf( $equal(op(e2,e4),e3) )],[refute_20_25,refute_20_327]) ).
cnf(refute_20_329,plain,
( e0 = e1
| e2 = e1
| e3 = e1
| op(e2,e0) = e1 ),
inference(resolve,[$cnf( $equal(op(e2,e4),e1) )],[refute_20_326,refute_20_328]) ).
cnf(refute_20_330,plain,
e0 != e1,
inference(canonicalize,[],[normalize_20_56]) ).
cnf(refute_20_331,plain,
( e2 = e1
| e3 = e1
| op(e2,e0) = e1 ),
inference(resolve,[$cnf( $equal(e0,e1) )],[refute_20_329,refute_20_330]) ).
cnf(refute_20_332,plain,
e1 != e2,
inference(canonicalize,[],[normalize_20_57]) ).
cnf(refute_20_333,plain,
( e2 != e1
| e1 = e2 ),
inference(subst,[],[refute_20_14:[bind(X,$fot(e2)),bind(Y,$fot(e1))]]) ).
cnf(refute_20_334,plain,
e2 != e1,
inference(resolve,[$cnf( $equal(e1,e2) )],[refute_20_333,refute_20_332]) ).
cnf(refute_20_335,plain,
( e3 = e1
| op(e2,e0) = e1 ),
inference(resolve,[$cnf( $equal(e2,e1) )],[refute_20_331,refute_20_334]) ).
cnf(refute_20_336,plain,
e1 != e3,
inference(canonicalize,[],[normalize_20_58]) ).
cnf(refute_20_337,plain,
( e3 != e1
| e1 = e3 ),
inference(subst,[],[refute_20_14:[bind(X,$fot(e3)),bind(Y,$fot(e1))]]) ).
cnf(refute_20_338,plain,
e3 != e1,
inference(resolve,[$cnf( $equal(e1,e3) )],[refute_20_337,refute_20_336]) ).
cnf(refute_20_339,plain,
op(e2,e0) = e1,
inference(resolve,[$cnf( $equal(e3,e1) )],[refute_20_335,refute_20_338]) ).
cnf(refute_20_340,plain,
( op(e2,e0) != e1
| op(e2,e0) != e4
| e1 = e4 ),
introduced(tautology,[equality,[$cnf( $equal(op(e2,e0),e4) ),[0],$fot(e1)]]) ).
cnf(refute_20_341,plain,
( op(e2,e0) != e4
| e1 = e4 ),
inference(resolve,[$cnf( $equal(op(e2,e0),e1) )],[refute_20_339,refute_20_340]) ).
cnf(refute_20_342,plain,
( e1 = e4
| op(e0,e0) = e4 ),
inference(resolve,[$cnf( $equal(op(e2,e0),e4) )],[refute_20_278,refute_20_341]) ).
cnf(refute_20_343,plain,
op(e0,e0) = e4,
inference(resolve,[$cnf( $equal(e1,e4) )],[refute_20_342,refute_20_58]) ).
cnf(refute_20_344,plain,
( e4 != e4
| op(e0,e0) != e4
| op(e0,e0) = e4 ),
introduced(tautology,[equality,[$cnf( $equal(op(e0,e0),e4) ),[1],$fot(e4)]]) ).
cnf(refute_20_345,plain,
( e4 != e4
| op(e0,e0) = e4 ),
inference(resolve,[$cnf( $equal(op(e0,e0),e4) )],[refute_20_343,refute_20_344]) ).
cnf(refute_20_346,plain,
( e4 != e4
| op(e3,e0) = e2 ),
inference(resolve,[$cnf( $equal(op(e0,e0),e4) )],[refute_20_345,refute_20_186]) ).
cnf(refute_20_347,plain,
op(e3,e0) = e2,
inference(resolve,[$cnf( $equal(e4,e4) )],[refute_20_266,refute_20_346]) ).
cnf(refute_20_348,plain,
( e2 != op(e4,e0)
| op(e3,e0) != e2
| op(e3,e0) = op(e4,e0) ),
introduced(tautology,[equality,[$cnf( $equal(op(e3,e0),e2) ),[1],$fot(op(e4,e0))]]) ).
cnf(refute_20_349,plain,
( e2 != op(e4,e0)
| op(e3,e0) = op(e4,e0) ),
inference(resolve,[$cnf( $equal(op(e3,e0),e2) )],[refute_20_347,refute_20_348]) ).
cnf(refute_20_350,plain,
e2 != op(e4,e0),
inference(resolve,[$cnf( $equal(op(e3,e0),op(e4,e0)) )],[refute_20_349,refute_20_148]) ).
cnf(refute_20_351,plain,
( op(e4,e0) != e2
| e2 = op(e4,e0) ),
inference(subst,[],[refute_20_14:[bind(X,$fot(op(e4,e0))),bind(Y,$fot(e2))]]) ).
cnf(refute_20_352,plain,
op(e4,e0) != e2,
inference(resolve,[$cnf( $equal(e2,op(e4,e0)) )],[refute_20_351,refute_20_350]) ).
cnf(refute_20_353,plain,
op(e0,e3) != e2,
inference(resolve,[$cnf( $equal(op(e4,e0),e2) )],[refute_20_147,refute_20_352]) ).
cnf(refute_20_354,plain,
( op(e0,e3) = e1
| op(e0,e3) = e3
| op(e0,e3) = e4 ),
inference(resolve,[$cnf( $equal(op(e0,e3),e2) )],[refute_20_108,refute_20_353]) ).
cnf(refute_20_355,plain,
op(e0,e3) != op(e1,e3),
inference(canonicalize,[],[normalize_20_59]) ).
cnf(refute_20_356,plain,
( op(e0,e3) != e3
| op(e1,e3) != e3
| op(e0,e3) = op(e1,e3) ),
introduced(tautology,[equality,[$cnf( ~ $equal(op(e0,e3),op(e1,e3)) ),[1],$fot(e3)]]) ).
cnf(refute_20_357,plain,
( op(e0,e3) != e3
| op(e0,e3) = op(e1,e3) ),
inference(resolve,[$cnf( $equal(op(e1,e3),e3) )],[refute_20_256,refute_20_356]) ).
cnf(refute_20_358,plain,
op(e0,e3) != e3,
inference(resolve,[$cnf( $equal(op(e0,e3),op(e1,e3)) )],[refute_20_357,refute_20_355]) ).
cnf(refute_20_359,plain,
( op(e0,e3) = e1
| op(e0,e3) = e4 ),
inference(resolve,[$cnf( $equal(op(e0,e3),e3) )],[refute_20_354,refute_20_358]) ).
cnf(refute_20_360,plain,
op(e0,e3) != op(e3,e3),
inference(canonicalize,[],[normalize_20_60]) ).
cnf(refute_20_361,plain,
( op(e3,e0) = e4
| op(e3,e1) = e4
| op(e3,e2) = e4
| op(e3,e3) = e4
| op(e3,e4) = e4 ),
inference(canonicalize,[],[normalize_20_61]) ).
cnf(refute_20_362,plain,
( op(e3,e0) = e4
| op(e3,e1) = e4
| op(e3,e3) = e4
| op(e3,e4) = e4 ),
inference(resolve,[$cnf( $equal(op(e3,e2),e4) )],[refute_20_361,refute_20_216]) ).
cnf(refute_20_363,plain,
( op(e3,e1) != e3
| op(e3,e1) != e4
| e3 = e4 ),
introduced(tautology,[equality,[$cnf( $equal(op(e3,e1),e4) ),[0],$fot(e3)]]) ).
cnf(refute_20_364,plain,
( op(e3,e1) != e4
| e3 = e4 ),
inference(resolve,[$cnf( $equal(op(e3,e1),e3) )],[refute_20_179,refute_20_363]) ).
cnf(refute_20_365,plain,
( e3 = e4
| op(e3,e0) = e4
| op(e3,e3) = e4
| op(e3,e4) = e4 ),
inference(resolve,[$cnf( $equal(op(e3,e1),e4) )],[refute_20_362,refute_20_364]) ).
cnf(refute_20_366,plain,
( e1 = e4
| e3 = e4
| op(e3,e0) = e4
| op(e3,e3) = e4 ),
inference(resolve,[$cnf( $equal(op(e3,e4),e4) )],[refute_20_365,refute_20_56]) ).
cnf(refute_20_367,plain,
( e3 = e4
| op(e3,e0) = e4
| op(e3,e3) = e4 ),
inference(resolve,[$cnf( $equal(e1,e4) )],[refute_20_366,refute_20_58]) ).
cnf(refute_20_368,plain,
( op(e3,e0) = e4
| op(e3,e3) = e4 ),
inference(resolve,[$cnf( $equal(e3,e4) )],[refute_20_367,refute_20_29]) ).
cnf(refute_20_369,plain,
( op(e3,e0) != e2
| op(e3,e0) != e4
| e2 = e4 ),
introduced(tautology,[equality,[$cnf( $equal(op(e3,e0),e4) ),[0],$fot(e2)]]) ).
cnf(refute_20_370,plain,
( op(e3,e0) != e4
| e2 = e4 ),
inference(resolve,[$cnf( $equal(op(e3,e0),e2) )],[refute_20_347,refute_20_369]) ).
cnf(refute_20_371,plain,
( e2 = e4
| op(e3,e3) = e4 ),
inference(resolve,[$cnf( $equal(op(e3,e0),e4) )],[refute_20_368,refute_20_370]) ).
cnf(refute_20_372,plain,
op(e3,e3) = e4,
inference(resolve,[$cnf( $equal(e2,e4) )],[refute_20_371,refute_20_126]) ).
cnf(refute_20_373,plain,
( op(e0,e3) != e4
| op(e3,e3) != e4
| op(e0,e3) = op(e3,e3) ),
introduced(tautology,[equality,[$cnf( ~ $equal(op(e0,e3),op(e3,e3)) ),[1],$fot(e4)]]) ).
cnf(refute_20_374,plain,
( op(e0,e3) != e4
| op(e0,e3) = op(e3,e3) ),
inference(resolve,[$cnf( $equal(op(e3,e3),e4) )],[refute_20_372,refute_20_373]) ).
cnf(refute_20_375,plain,
op(e0,e3) != e4,
inference(resolve,[$cnf( $equal(op(e0,e3),op(e3,e3)) )],[refute_20_374,refute_20_360]) ).
cnf(refute_20_376,plain,
op(e0,e3) = e1,
inference(resolve,[$cnf( $equal(op(e0,e3),e4) )],[refute_20_359,refute_20_375]) ).
cnf(refute_20_377,plain,
( op(e4,e0) = e0
| op(e4,e0) = e1
| op(e4,e0) = e2
| op(e4,e0) = e3
| op(e4,e0) = e4 ),
inference(canonicalize,[],[normalize_20_62]) ).
cnf(refute_20_378,plain,
op(e4,e0) != op(e4,e4),
inference(canonicalize,[],[normalize_20_63]) ).
cnf(refute_20_379,plain,
( op(e4,e0) != e0
| op(e4,e4) != e0
| op(e4,e0) = op(e4,e4) ),
introduced(tautology,[equality,[$cnf( ~ $equal(op(e4,e0),op(e4,e4)) ),[1],$fot(e0)]]) ).
cnf(refute_20_380,plain,
( op(e4,e0) != e0
| op(e4,e0) = op(e4,e4) ),
inference(resolve,[$cnf( $equal(op(e4,e4),e0) )],[refute_20_79,refute_20_379]) ).
cnf(refute_20_381,plain,
op(e4,e0) != e0,
inference(resolve,[$cnf( $equal(op(e4,e0),op(e4,e4)) )],[refute_20_380,refute_20_378]) ).
cnf(refute_20_382,plain,
( op(e4,e0) = e1
| op(e4,e0) = e2
| op(e4,e0) = e3
| op(e4,e0) = e4 ),
inference(resolve,[$cnf( $equal(op(e4,e0),e0) )],[refute_20_377,refute_20_381]) ).
cnf(refute_20_383,plain,
op(e2,e0) != op(e4,e0),
inference(canonicalize,[],[normalize_20_64]) ).
cnf(refute_20_384,plain,
( e1 != op(e4,e0)
| op(e2,e0) != e1
| op(e2,e0) = op(e4,e0) ),
introduced(tautology,[equality,[$cnf( $equal(op(e2,e0),e1) ),[1],$fot(op(e4,e0))]]) ).
cnf(refute_20_385,plain,
( e1 != op(e4,e0)
| op(e2,e0) = op(e4,e0) ),
inference(resolve,[$cnf( $equal(op(e2,e0),e1) )],[refute_20_339,refute_20_384]) ).
cnf(refute_20_386,plain,
e1 != op(e4,e0),
inference(resolve,[$cnf( $equal(op(e2,e0),op(e4,e0)) )],[refute_20_385,refute_20_383]) ).
cnf(refute_20_387,plain,
( op(e4,e0) != e1
| e1 = op(e4,e0) ),
inference(subst,[],[refute_20_14:[bind(X,$fot(op(e4,e0))),bind(Y,$fot(e1))]]) ).
cnf(refute_20_388,plain,
op(e4,e0) != e1,
inference(resolve,[$cnf( $equal(e1,op(e4,e0)) )],[refute_20_387,refute_20_386]) ).
cnf(refute_20_389,plain,
( op(e4,e0) = e2
| op(e4,e0) = e3
| op(e4,e0) = e4 ),
inference(resolve,[$cnf( $equal(op(e4,e0),e1) )],[refute_20_382,refute_20_388]) ).
cnf(refute_20_390,plain,
( op(e4,e0) = e3
| op(e4,e0) = e4 ),
inference(resolve,[$cnf( $equal(op(e4,e0),e2) )],[refute_20_389,refute_20_352]) ).
cnf(refute_20_391,plain,
op(e4,e0) = e3,
inference(resolve,[$cnf( $equal(op(e4,e0),e4) )],[refute_20_390,refute_20_203]) ).
cnf(refute_20_392,plain,
op(op(e4,e0),e0) = op(op(e4,e0),e0),
introduced(tautology,[refl,[$fot(op(op(e4,e0),e0))]]) ).
cnf(refute_20_393,plain,
( op(e4,e0) != e3
| op(op(e4,e0),e0) != op(op(e4,e0),e0)
| op(op(e4,e0),e0) = op(e3,e0) ),
introduced(tautology,[equality,[$cnf( $equal(op(op(e4,e0),e0),op(op(e4,e0),e0)) ),[1,0],$fot(e3)]]) ).
cnf(refute_20_394,plain,
( op(e4,e0) != e3
| op(op(e4,e0),e0) = op(e3,e0) ),
inference(resolve,[$cnf( $equal(op(op(e4,e0),e0),op(op(e4,e0),e0)) )],[refute_20_392,refute_20_393]) ).
cnf(refute_20_395,plain,
op(op(e4,e0),e0) = op(e3,e0),
inference(resolve,[$cnf( $equal(op(e4,e0),e3) )],[refute_20_391,refute_20_394]) ).
cnf(refute_20_396,plain,
( op(e3,e0) != e2
| op(op(e4,e0),e0) != op(e3,e0)
| op(op(e4,e0),e0) = e2 ),
inference(subst,[],[refute_20_46:[bind(X,$fot(op(op(e4,e0),e0))),bind(Y,$fot(op(e3,e0))),bind(Z,$fot(e2))]]) ).
cnf(refute_20_397,plain,
( op(e3,e0) != e2
| op(op(e4,e0),e0) = e2 ),
inference(resolve,[$cnf( $equal(op(op(e4,e0),e0),op(e3,e0)) )],[refute_20_395,refute_20_396]) ).
cnf(refute_20_398,plain,
op(op(e4,e0),e0) = e2,
inference(resolve,[$cnf( $equal(op(e3,e0),e2) )],[refute_20_347,refute_20_397]) ).
cnf(refute_20_399,plain,
( op(op(e4,e0),e0) != e2
| op(op(e4,e0),e0) != e4
| e2 = e4 ),
introduced(tautology,[equality,[$cnf( $equal(op(op(e4,e0),e0),e4) ),[0],$fot(e2)]]) ).
cnf(refute_20_400,plain,
( op(op(e4,e0),e0) != e4
| e2 = e4 ),
inference(resolve,[$cnf( $equal(op(op(e4,e0),e0),e2) )],[refute_20_398,refute_20_399]) ).
cnf(refute_20_401,plain,
e2 = e4,
inference(resolve,[$cnf( $equal(op(op(e4,e0),e0),e4) )],[refute_20_187,refute_20_400]) ).
cnf(refute_20_402,plain,
( e2 != e4
| e4 = e2 ),
inference(subst,[],[refute_20_14:[bind(X,$fot(e2)),bind(Y,$fot(e4))]]) ).
cnf(refute_20_403,plain,
e4 = e2,
inference(resolve,[$cnf( $equal(e2,e4) )],[refute_20_401,refute_20_402]) ).
cnf(refute_20_404,plain,
op(e4,e0) = op(e4,e0),
introduced(tautology,[refl,[$fot(op(e4,e0))]]) ).
cnf(refute_20_405,plain,
( e4 != e2
| op(e4,e0) != op(e4,e0)
| op(e4,e0) = op(e2,e0) ),
introduced(tautology,[equality,[$cnf( $equal(op(e4,e0),op(e4,e0)) ),[1,0],$fot(e2)]]) ).
cnf(refute_20_406,plain,
( e4 != e2
| op(e4,e0) = op(e2,e0) ),
inference(resolve,[$cnf( $equal(op(e4,e0),op(e4,e0)) )],[refute_20_404,refute_20_405]) ).
cnf(refute_20_407,plain,
op(e4,e0) = op(e2,e0),
inference(resolve,[$cnf( $equal(e4,e2) )],[refute_20_403,refute_20_406]) ).
cnf(refute_20_408,plain,
( op(e2,e0) != e1
| op(e4,e0) != op(e2,e0)
| op(e4,e0) = e1 ),
inference(subst,[],[refute_20_46:[bind(X,$fot(op(e4,e0))),bind(Y,$fot(op(e2,e0))),bind(Z,$fot(e1))]]) ).
cnf(refute_20_409,plain,
( op(e2,e0) != e1
| op(e4,e0) = e1 ),
inference(resolve,[$cnf( $equal(op(e4,e0),op(e2,e0)) )],[refute_20_407,refute_20_408]) ).
cnf(refute_20_410,plain,
op(e4,e0) = e1,
inference(resolve,[$cnf( $equal(op(e2,e0),e1) )],[refute_20_339,refute_20_409]) ).
cnf(refute_20_411,plain,
( op(e4,e0) != e1
| op(e4,e0) != e3
| e1 = e3 ),
introduced(tautology,[equality,[$cnf( $equal(op(e4,e0),e3) ),[0],$fot(e1)]]) ).
cnf(refute_20_412,plain,
( op(e4,e0) != e3
| e1 = e3 ),
inference(resolve,[$cnf( $equal(op(e4,e0),e1) )],[refute_20_410,refute_20_411]) ).
cnf(refute_20_413,plain,
e1 = e3,
inference(resolve,[$cnf( $equal(op(e4,e0),e3) )],[refute_20_391,refute_20_412]) ).
cnf(refute_20_414,plain,
( e1 != e3
| e3 = e1 ),
inference(subst,[],[refute_20_14:[bind(X,$fot(e1)),bind(Y,$fot(e3))]]) ).
cnf(refute_20_415,plain,
e3 = e1,
inference(resolve,[$cnf( $equal(e1,e3) )],[refute_20_413,refute_20_414]) ).
cnf(refute_20_416,plain,
op(e0,e3) = op(e0,e3),
introduced(tautology,[refl,[$fot(op(e0,e3))]]) ).
cnf(refute_20_417,plain,
( e3 != e1
| op(e0,e3) != op(e0,e3)
| op(e0,e3) = op(e0,e1) ),
introduced(tautology,[equality,[$cnf( $equal(op(e0,e3),op(e0,e3)) ),[1,1],$fot(e1)]]) ).
cnf(refute_20_418,plain,
( e3 != e1
| op(e0,e3) = op(e0,e1) ),
inference(resolve,[$cnf( $equal(op(e0,e3),op(e0,e3)) )],[refute_20_416,refute_20_417]) ).
cnf(refute_20_419,plain,
op(e0,e3) = op(e0,e1),
inference(resolve,[$cnf( $equal(e3,e1) )],[refute_20_415,refute_20_418]) ).
cnf(refute_20_420,plain,
( op(e0,e1) != e0
| op(e0,e3) != op(e0,e1)
| op(e0,e3) = e0 ),
inference(subst,[],[refute_20_46:[bind(X,$fot(op(e0,e3))),bind(Y,$fot(op(e0,e1))),bind(Z,$fot(e0))]]) ).
cnf(refute_20_421,plain,
( op(e0,e1) != e0
| op(e0,e3) = e0 ),
inference(resolve,[$cnf( $equal(op(e0,e3),op(e0,e1)) )],[refute_20_419,refute_20_420]) ).
cnf(refute_20_422,plain,
op(e0,e3) = e0,
inference(resolve,[$cnf( $equal(op(e0,e1),e0) )],[refute_20_102,refute_20_421]) ).
cnf(refute_20_423,plain,
( op(e0,e3) != e0
| op(e0,e3) != e1
| e0 = e1 ),
introduced(tautology,[equality,[$cnf( $equal(op(e0,e3),e1) ),[0],$fot(e0)]]) ).
cnf(refute_20_424,plain,
( op(e0,e3) != e1
| e0 = e1 ),
inference(resolve,[$cnf( $equal(op(e0,e3),e0) )],[refute_20_422,refute_20_423]) ).
cnf(refute_20_425,plain,
e0 = e1,
inference(resolve,[$cnf( $equal(op(e0,e3),e1) )],[refute_20_376,refute_20_424]) ).
cnf(refute_20_426,plain,
$false,
inference(resolve,[$cnf( $equal(e0,e1) )],[refute_20_425,refute_20_330]) ).
fof(negate_21_0,plain,
~ ( ( ( ( op(e0,op(e0,e0)) != e0
& op(e0,op(e0,e0)) = e0 )
| ( op(e1,op(e1,e0)) != e0
& op(e0,op(e1,e0)) = e1 )
| ( op(e2,op(e2,e0)) != e0
& op(e0,op(e2,e0)) = e2 )
| ( op(e3,op(e3,e0)) != e0
& op(e0,op(e3,e0)) = e3 )
| ( op(e4,op(e4,e0)) != e0
& op(e0,op(e4,e0)) = e4 ) )
& ( ( op(e0,op(e0,e1)) != e1
& op(e1,op(e0,e1)) = e0 )
| ( op(e1,op(e1,e1)) != e1
& op(e1,op(e1,e1)) = e1 )
| ( op(e2,op(e2,e1)) != e1
& op(e1,op(e2,e1)) = e2 )
| ( op(e3,op(e3,e1)) != e1
& op(e1,op(e3,e1)) = e3 )
| ( op(e4,op(e4,e1)) != e1
& op(e1,op(e4,e1)) = e4 ) )
& ( ( op(e0,op(e0,e2)) != e2
& op(e2,op(e0,e2)) = e0 )
| ( op(e1,op(e1,e2)) != e2
& op(e2,op(e1,e2)) = e1 )
| ( op(e2,op(e2,e2)) != e2
& op(e2,op(e2,e2)) = e2 )
| ( op(e3,op(e3,e2)) != e2
& op(e2,op(e3,e2)) = e3 )
| ( op(e4,op(e4,e2)) != e2
& op(e2,op(e4,e2)) = e4 ) )
& ( ( op(e0,op(e0,e3)) != e3
& op(e3,op(e0,e3)) = e0 )
| ( op(e1,op(e1,e3)) != e3
& op(e3,op(e1,e3)) = e1 )
| ( op(e2,op(e2,e3)) != e3
& op(e3,op(e2,e3)) = e2 )
| ( op(e3,op(e3,e3)) != e3
& op(e3,op(e3,e3)) = e3 )
| ( op(e4,op(e4,e3)) != e3
& op(e3,op(e4,e3)) = e4 ) )
& ( ( op(e0,op(e0,e4)) != e4
& op(e4,op(e0,e4)) = e0 )
| ( op(e1,op(e1,e4)) != e4
& op(e4,op(e1,e4)) = e1 )
| ( op(e2,op(e2,e4)) != e4
& op(e4,op(e2,e4)) = e2 )
| ( op(e3,op(e3,e4)) != e4
& op(e4,op(e3,e4)) = e3 )
| ( op(e4,op(e4,e4)) != e4
& op(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(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_1,plain,
( op(e1,e4) = e0
| op(e1,e4) = e1
| op(e1,e4) = e2
| op(e1,e4) = e3
| op(e1,e4) = e4 ),
inference(conjunct,[],[normalize_21_0]) ).
fof(normalize_21_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_21_3,plain,
op(e1,e4) != op(e4,e4),
inference(conjunct,[],[normalize_21_2]) ).
fof(normalize_21_4,plain,
( e0 = op(op(e2,e2),op(e2,e2))
& e1 = op(op(e2,op(e2,e2)),op(e2,e2))
& e3 = op(e2,op(e2,e2))
& e4 = op(e2,e2) ),
inference(canonicalize,[],[ax6]) ).
fof(normalize_21_5,plain,
e0 = op(op(e2,e2),op(e2,e2)),
inference(conjunct,[],[normalize_21_4]) ).
fof(normalize_21_6,plain,
e4 = op(e2,e2),
inference(conjunct,[],[normalize_21_4]) ).
fof(normalize_21_7,plain,
op(e1,e4) != op(e3,e4),
inference(conjunct,[],[normalize_21_2]) ).
fof(normalize_21_8,plain,
e1 = op(op(e2,op(e2,e2)),op(e2,e2)),
inference(conjunct,[],[normalize_21_4]) ).
fof(normalize_21_9,plain,
e3 = op(e2,op(e2,e2)),
inference(conjunct,[],[normalize_21_4]) ).
fof(normalize_21_10,plain,
op(e1,e4) != op(e2,e4),
inference(conjunct,[],[normalize_21_2]) ).
fof(normalize_21_11,plain,
op(e0,e4) != op(e1,e4),
inference(conjunct,[],[normalize_21_2]) ).
fof(normalize_21_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_21_13,plain,
op(unit,e4) = e4,
inference(conjunct,[],[normalize_21_12]) ).
fof(normalize_21_14,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,op(e0,e1)) != e1
& op(e1,op(e0,e1)) = e0 )
| ( op(e2,op(e2,e1)) != e1
& op(e1,op(e2,e1)) = e2 )
| ( op(e3,op(e3,e1)) != e1
& op(e1,op(e3,e1)) = e3 )
| ( op(e4,op(e4,e1)) != e1
& op(e1,op(e4,e1)) = e4 ) )
& ( ( op(e0,op(e0,e2)) != e2
& op(e2,op(e0,e2)) = e0 )
| ( op(e1,op(e1,e2)) != e2
& op(e2,op(e1,e2)) = e1 )
| ( op(e3,op(e3,e2)) != e2
& op(e2,op(e3,e2)) = e3 )
| ( op(e4,op(e4,e2)) != e2
& op(e2,op(e4,e2)) = e4 ) )
& ( ( op(e0,op(e0,e3)) != e3
& op(e3,op(e0,e3)) = e0 )
| ( op(e1,op(e1,e3)) != e3
& op(e3,op(e1,e3)) = e1 )
| ( op(e2,op(e2,e3)) != e3
& op(e3,op(e2,e3)) = e2 )
| ( op(e4,op(e4,e3)) != e3
& op(e3,op(e4,e3)) = e4 ) )
& ( ( op(e0,op(e0,e4)) != e4
& op(e4,op(e0,e4)) = e0 )
| ( op(e1,op(e1,e4)) != e4
& op(e4,op(e1,e4)) = e1 )
| ( op(e2,op(e2,e4)) != e4
& op(e4,op(e2,e4)) = e2 )
| ( op(e3,op(e3,e4)) != e4
& op(e4,op(e3,e4)) = e3 ) )
& ( ( op(e1,op(e1,e0)) != e0
& op(e0,op(e1,e0)) = e1 )
| ( op(e2,op(e2,e0)) != e0
& op(e0,op(e2,e0)) = e2 )
| ( op(e3,op(e3,e0)) != e0
& op(e0,op(e3,e0)) = e3 )
| ( op(e4,op(e4,e0)) != e0
& op(e0,op(e4,e0)) = e4 ) ) ),
inference(canonicalize,[],[negate_21_0]) ).
fof(normalize_21_15,plain,
op(e1,e4) != op(e4,e1),
inference(conjunct,[],[normalize_21_14]) ).
fof(normalize_21_16,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_17,plain,
( op(e0,e4) = e4
| op(e1,e4) = e4
| op(e2,e4) = e4
| op(e3,e4) = e4
| op(e4,e4) = e4 ),
inference(conjunct,[],[normalize_21_16]) ).
fof(normalize_21_18,plain,
op(e2,e2) != op(e2,e4),
inference(conjunct,[],[normalize_21_2]) ).
fof(normalize_21_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_21_20,plain,
e0 != e4,
inference(conjunct,[],[normalize_21_19]) ).
fof(normalize_21_21,plain,
e1 != e4,
inference(conjunct,[],[normalize_21_19]) ).
fof(normalize_21_22,plain,
op(e4,unit) = e4,
inference(conjunct,[],[normalize_21_12]) ).
fof(normalize_21_23,plain,
( unit = e0
| unit = e1
| unit = e2
| unit = e3
| unit = e4 ),
inference(conjunct,[],[normalize_21_12]) ).
fof(normalize_21_24,plain,
e3 != e4,
inference(conjunct,[],[normalize_21_19]) ).
fof(normalize_21_25,plain,
op(e1,e2) != op(e3,e2),
inference(conjunct,[],[normalize_21_2]) ).
fof(normalize_21_26,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_0]) ).
fof(normalize_21_27,plain,
op(e1,e2) != op(e2,e2),
inference(conjunct,[],[normalize_21_2]) ).
fof(normalize_21_28,plain,
op(e1,e0) != op(e1,e2),
inference(conjunct,[],[normalize_21_2]) ).
fof(normalize_21_29,plain,
op(e1,unit) = e1,
inference(conjunct,[],[normalize_21_12]) ).
fof(normalize_21_30,plain,
op(e0,e2) != op(e1,e2),
inference(conjunct,[],[normalize_21_2]) ).
fof(normalize_21_31,plain,
op(unit,e2) = e2,
inference(conjunct,[],[normalize_21_12]) ).
fof(normalize_21_32,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_0]) ).
fof(normalize_21_33,plain,
op(e2,e2) != op(e3,e2),
inference(conjunct,[],[normalize_21_2]) ).
fof(normalize_21_34,plain,
op(e3,e2) != op(e3,e4),
inference(conjunct,[],[normalize_21_2]) ).
fof(normalize_21_35,plain,
op(e0,e2) != op(e3,e2),
inference(conjunct,[],[normalize_21_2]) ).
fof(normalize_21_36,plain,
op(e3,e0) != op(e3,e2),
inference(conjunct,[],[normalize_21_2]) ).
fof(normalize_21_37,plain,
op(e3,unit) = e3,
inference(conjunct,[],[normalize_21_12]) ).
fof(normalize_21_38,plain,
op(op(e4,e1),e1) = e4,
inference(conjunct,[],[normalize_21_14]) ).
fof(normalize_21_39,plain,
op(e1,e1) != op(e3,e1),
inference(conjunct,[],[normalize_21_2]) ).
fof(normalize_21_40,plain,
( op(e1,e1) = e0
| op(e1,e1) = e1
| op(e1,e1) = e2
| op(e1,e1) = e3
| op(e1,e1) = e4 ),
inference(conjunct,[],[normalize_21_0]) ).
fof(normalize_21_41,plain,
op(e1,e1) != op(e2,e1),
inference(conjunct,[],[normalize_21_2]) ).
fof(normalize_21_42,plain,
( op(e2,e1) = e0
| op(e2,e1) = e1
| op(e2,e1) = e2
| op(e2,e1) = e3
| op(e2,e1) = e4 ),
inference(conjunct,[],[normalize_21_0]) ).
fof(normalize_21_43,plain,
op(e2,e1) != op(e2,e2),
inference(conjunct,[],[normalize_21_2]) ).
fof(normalize_21_44,plain,
op(e0,e1) != op(e2,e1),
inference(conjunct,[],[normalize_21_2]) ).
fof(normalize_21_45,plain,
op(unit,e1) = e1,
inference(conjunct,[],[normalize_21_12]) ).
fof(normalize_21_46,plain,
op(e2,e0) != op(e2,e1),
inference(conjunct,[],[normalize_21_2]) ).
fof(normalize_21_47,plain,
op(e2,unit) = e2,
inference(conjunct,[],[normalize_21_12]) ).
fof(normalize_21_48,plain,
op(e2,e1) != op(e2,e4),
inference(conjunct,[],[normalize_21_2]) ).
fof(normalize_21_49,plain,
op(e0,e1) != op(e1,e1),
inference(conjunct,[],[normalize_21_2]) ).
fof(normalize_21_50,plain,
op(e1,e1) != op(e1,e2),
inference(conjunct,[],[normalize_21_2]) ).
fof(normalize_21_51,plain,
( op(e3,e0) = e4
| op(e3,e1) = e4
| op(e3,e2) = e4
| op(e3,e3) = e4
| op(e3,e4) = e4 ),
inference(conjunct,[],[normalize_21_16]) ).
fof(normalize_21_52,plain,
( ( op(e0,op(e0,e3)) != e3
& op(e3,op(e0,e3)) = e0 )
| ( op(e1,op(e1,e3)) != e3
& op(e3,op(e1,e3)) = e1 )
| ( op(e2,op(e2,e3)) != e3
& op(e3,op(e2,e3)) = e2 )
| ( op(e4,op(e4,e3)) != e3
& op(e3,op(e4,e3)) = e4 ) ),
inference(conjunct,[],[normalize_21_14]) ).
fof(normalize_21_53,plain,
( ~ definitionFOFtoCNF_87
<=> ( op(e3,op(e0,e3)) != e0
| op(e0,op(e0,e3)) = e3 ) ),
inference(canonicalize,[],[definition_7]) ).
fof(normalize_21_54,plain,
( definitionFOFtoCNF_87
| ( op(e1,op(e1,e3)) != e3
& op(e3,op(e1,e3)) = e1 )
| ( op(e2,op(e2,e3)) != e3
& op(e3,op(e2,e3)) = e2 )
| ( op(e4,op(e4,e3)) != e3
& op(e3,op(e4,e3)) = e4 ) ),
inference(simplify,[],[normalize_21_52,normalize_21_53]) ).
fof(normalize_21_55,plain,
( ( op(e1,op(e1,e3)) != e3
| op(e2,op(e2,e3)) != e3
| op(e4,op(e4,e3)) != e3
| definitionFOFtoCNF_87 )
& ( op(e1,op(e1,e3)) != e3
| op(e2,op(e2,e3)) != e3
| op(e3,op(e4,e3)) = e4
| definitionFOFtoCNF_87 )
& ( op(e1,op(e1,e3)) != e3
| op(e4,op(e4,e3)) != e3
| op(e3,op(e2,e3)) = e2
| definitionFOFtoCNF_87 )
& ( op(e1,op(e1,e3)) != e3
| op(e3,op(e2,e3)) = e2
| op(e3,op(e4,e3)) = e4
| definitionFOFtoCNF_87 )
& ( op(e2,op(e2,e3)) != e3
| op(e4,op(e4,e3)) != e3
| op(e3,op(e1,e3)) = e1
| definitionFOFtoCNF_87 )
& ( op(e2,op(e2,e3)) != e3
| op(e3,op(e1,e3)) = e1
| op(e3,op(e4,e3)) = e4
| definitionFOFtoCNF_87 )
& ( op(e4,op(e4,e3)) != e3
| op(e3,op(e1,e3)) = e1
| op(e3,op(e2,e3)) = e2
| definitionFOFtoCNF_87 )
& ( op(e3,op(e1,e3)) = e1
| op(e3,op(e2,e3)) = e2
| op(e3,op(e4,e3)) = e4
| definitionFOFtoCNF_87 ) ),
inference(clausify,[],[normalize_21_54]) ).
fof(normalize_21_56,plain,
( op(e3,op(e1,e3)) = e1
| op(e3,op(e2,e3)) = e2
| op(e3,op(e4,e3)) = e4
| definitionFOFtoCNF_87 ),
inference(conjunct,[],[normalize_21_55]) ).
fof(normalize_21_57,plain,
( op(e2,e3) = e0
| op(e2,e3) = e1
| op(e2,e3) = e2
| op(e2,e3) = e3
| op(e2,e3) = e4 ),
inference(conjunct,[],[normalize_21_0]) ).
fof(normalize_21_58,plain,
op(e2,e2) != op(e2,e3),
inference(conjunct,[],[normalize_21_2]) ).
fof(normalize_21_59,plain,
op(e2,e1) != op(e2,e3),
inference(conjunct,[],[normalize_21_2]) ).
fof(normalize_21_60,plain,
op(e2,e0) != op(e2,e3),
inference(conjunct,[],[normalize_21_2]) ).
fof(normalize_21_61,plain,
op(e2,e3) != op(e2,e4),
inference(conjunct,[],[normalize_21_2]) ).
fof(normalize_21_62,plain,
( ( op(e0,op(e0,e3)) != e3
| ~ definitionFOFtoCNF_87 )
& ( ~ definitionFOFtoCNF_87
| op(e3,op(e0,e3)) = e0 )
& ( op(e3,op(e0,e3)) != e0
| op(e0,op(e0,e3)) = e3
| definitionFOFtoCNF_87 ) ),
inference(clausify,[],[normalize_21_53]) ).
fof(normalize_21_63,plain,
( op(e0,op(e0,e3)) != e3
| ~ definitionFOFtoCNF_87 ),
inference(conjunct,[],[normalize_21_62]) ).
fof(normalize_21_64,plain,
op(unit,e3) = e3,
inference(conjunct,[],[normalize_21_12]) ).
fof(normalize_21_65,plain,
( op(e0,e3) = e2
| op(e1,e3) = e2
| op(e2,e3) = e2
| op(e3,e3) = e2
| op(e4,e3) = e2 ),
inference(conjunct,[],[normalize_21_16]) ).
fof(normalize_21_66,plain,
e2 != e3,
inference(conjunct,[],[normalize_21_19]) ).
fof(normalize_21_67,plain,
( ( op(e0,op(e0,e2)) != e2
& op(e2,op(e0,e2)) = e0 )
| ( op(e1,op(e1,e2)) != e2
& op(e2,op(e1,e2)) = e1 )
| ( op(e3,op(e3,e2)) != e2
& op(e2,op(e3,e2)) = e3 )
| ( op(e4,op(e4,e2)) != e2
& op(e2,op(e4,e2)) = e4 ) ),
inference(conjunct,[],[normalize_21_14]) ).
fof(normalize_21_68,plain,
( ~ definitionFOFtoCNF_86
<=> ( op(e2,op(e0,e2)) != e0
| op(e0,op(e0,e2)) = e2 ) ),
inference(canonicalize,[],[definition_6]) ).
fof(normalize_21_69,plain,
( definitionFOFtoCNF_86
| ( op(e1,op(e1,e2)) != e2
& op(e2,op(e1,e2)) = e1 )
| ( op(e3,op(e3,e2)) != e2
& op(e2,op(e3,e2)) = e3 )
| ( op(e4,op(e4,e2)) != e2
& op(e2,op(e4,e2)) = e4 ) ),
inference(simplify,[],[normalize_21_67,normalize_21_68]) ).
fof(normalize_21_70,plain,
( ( op(e1,op(e1,e2)) != e2
| op(e3,op(e3,e2)) != e2
| op(e4,op(e4,e2)) != e2
| definitionFOFtoCNF_86 )
& ( op(e1,op(e1,e2)) != e2
| op(e3,op(e3,e2)) != e2
| op(e2,op(e4,e2)) = e4
| definitionFOFtoCNF_86 )
& ( op(e1,op(e1,e2)) != e2
| op(e4,op(e4,e2)) != e2
| op(e2,op(e3,e2)) = e3
| definitionFOFtoCNF_86 )
& ( op(e1,op(e1,e2)) != e2
| op(e2,op(e3,e2)) = e3
| op(e2,op(e4,e2)) = e4
| definitionFOFtoCNF_86 )
& ( op(e3,op(e3,e2)) != e2
| op(e4,op(e4,e2)) != e2
| op(e2,op(e1,e2)) = e1
| definitionFOFtoCNF_86 )
& ( op(e3,op(e3,e2)) != e2
| op(e2,op(e1,e2)) = e1
| op(e2,op(e4,e2)) = e4
| definitionFOFtoCNF_86 )
& ( op(e4,op(e4,e2)) != e2
| op(e2,op(e1,e2)) = e1
| op(e2,op(e3,e2)) = e3
| definitionFOFtoCNF_86 )
& ( op(e2,op(e1,e2)) = e1
| op(e2,op(e3,e2)) = e3
| op(e2,op(e4,e2)) = e4
| definitionFOFtoCNF_86 ) ),
inference(clausify,[],[normalize_21_69]) ).
fof(normalize_21_71,plain,
( op(e1,op(e1,e2)) != e2
| op(e2,op(e3,e2)) = e3
| op(e2,op(e4,e2)) = e4
| definitionFOFtoCNF_86 ),
inference(conjunct,[],[normalize_21_70]) ).
fof(normalize_21_72,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_0]) ).
fof(normalize_21_73,plain,
op(e2,e2) != op(e4,e2),
inference(conjunct,[],[normalize_21_2]) ).
fof(normalize_21_74,plain,
op(e4,e2) != op(e4,e4),
inference(conjunct,[],[normalize_21_2]) ).
fof(normalize_21_75,plain,
op(e0,e2) != op(e4,e2),
inference(conjunct,[],[normalize_21_2]) ).
fof(normalize_21_76,plain,
op(e1,e2) != op(e4,e2),
inference(conjunct,[],[normalize_21_2]) ).
fof(normalize_21_77,plain,
( ( op(e0,op(e0,e2)) != e2
| ~ definitionFOFtoCNF_86 )
& ( ~ definitionFOFtoCNF_86
| op(e2,op(e0,e2)) = e0 )
& ( op(e2,op(e0,e2)) != e0
| op(e0,op(e0,e2)) = e2
| definitionFOFtoCNF_86 ) ),
inference(clausify,[],[normalize_21_68]) ).
fof(normalize_21_78,plain,
( op(e0,op(e0,e2)) != e2
| ~ definitionFOFtoCNF_86 ),
inference(conjunct,[],[normalize_21_77]) ).
fof(normalize_21_79,plain,
op(e1,e1) != op(e1,e3),
inference(conjunct,[],[normalize_21_2]) ).
fof(normalize_21_80,plain,
( op(e1,e3) = e0
| op(e1,e3) = e1
| op(e1,e3) = e2
| op(e1,e3) = e3
| op(e1,e3) = e4 ),
inference(conjunct,[],[normalize_21_0]) ).
fof(normalize_21_81,plain,
op(e1,e0) != op(e1,e3),
inference(conjunct,[],[normalize_21_2]) ).
fof(normalize_21_82,plain,
op(e0,e3) != op(e1,e3),
inference(conjunct,[],[normalize_21_2]) ).
fof(normalize_21_83,plain,
e1 != e3,
inference(conjunct,[],[normalize_21_19]) ).
fof(normalize_21_84,plain,
e2 != e4,
inference(conjunct,[],[normalize_21_19]) ).
fof(normalize_21_85,plain,
op(e1,e1) != op(e1,e4),
inference(conjunct,[],[normalize_21_2]) ).
fof(normalize_21_86,plain,
( op(e4,e1) = e0
| op(e4,e1) = e1
| op(e4,e1) = e2
| op(e4,e1) = e3
| op(e4,e1) = e4 ),
inference(conjunct,[],[normalize_21_0]) ).
fof(normalize_21_87,plain,
op(e4,e1) != op(e4,e4),
inference(conjunct,[],[normalize_21_2]) ).
fof(normalize_21_88,plain,
op(e0,e1) != op(e4,e1),
inference(conjunct,[],[normalize_21_2]) ).
fof(normalize_21_89,plain,
op(e4,e1) != op(e4,e3),
inference(conjunct,[],[normalize_21_2]) ).
fof(normalize_21_90,plain,
( op(e0,e3) = e4
| op(e1,e3) = e4
| op(e2,e3) = e4
| op(e3,e3) = e4
| op(e4,e3) = e4 ),
inference(conjunct,[],[normalize_21_16]) ).
fof(normalize_21_91,plain,
op(e4,e0) != op(e4,e3),
inference(conjunct,[],[normalize_21_2]) ).
fof(normalize_21_92,plain,
e0 != e2,
inference(conjunct,[],[normalize_21_19]) ).
fof(normalize_21_93,plain,
op(e4,e0) != op(e4,e1),
inference(conjunct,[],[normalize_21_2]) ).
fof(normalize_21_94,plain,
e0 != e3,
inference(conjunct,[],[normalize_21_19]) ).
cnf(refute_21_0,plain,
( op(e1,e4) = e0
| op(e1,e4) = e1
| op(e1,e4) = e2
| op(e1,e4) = e3
| op(e1,e4) = e4 ),
inference(canonicalize,[],[normalize_21_1]) ).
cnf(refute_21_1,plain,
op(e1,e4) != op(e4,e4),
inference(canonicalize,[],[normalize_21_3]) ).
cnf(refute_21_2,plain,
e0 = op(op(e2,e2),op(e2,e2)),
inference(canonicalize,[],[normalize_21_5]) ).
cnf(refute_21_3,plain,
e4 = op(e2,e2),
inference(canonicalize,[],[normalize_21_6]) ).
cnf(refute_21_4,plain,
X = X,
introduced(tautology,[refl,[$fot(X)]]) ).
cnf(refute_21_5,plain,
( X != X
| X != Y
| Y = X ),
introduced(tautology,[equality,[$cnf( $equal(X,X) ),[0],$fot(Y)]]) ).
cnf(refute_21_6,plain,
( X != Y
| Y = X ),
inference(resolve,[$cnf( $equal(X,X) )],[refute_21_4,refute_21_5]) ).
cnf(refute_21_7,plain,
( e4 != op(e2,e2)
| op(e2,e2) = e4 ),
inference(subst,[],[refute_21_6:[bind(X,$fot(e4)),bind(Y,$fot(op(e2,e2)))]]) ).
cnf(refute_21_8,plain,
op(e2,e2) = e4,
inference(resolve,[$cnf( $equal(e4,op(e2,e2)) )],[refute_21_3,refute_21_7]) ).
cnf(refute_21_9,plain,
op(e4,op(e2,e2)) = op(e4,op(e2,e2)),
introduced(tautology,[refl,[$fot(op(e4,op(e2,e2)))]]) ).
cnf(refute_21_10,plain,
( op(e2,e2) != e4
| op(e4,op(e2,e2)) != op(e4,op(e2,e2))
| op(e4,op(e2,e2)) = op(e4,e4) ),
introduced(tautology,[equality,[$cnf( $equal(op(e4,op(e2,e2)),op(e4,op(e2,e2))) ),[1,1],$fot(e4)]]) ).
cnf(refute_21_11,plain,
( op(e2,e2) != e4
| op(e4,op(e2,e2)) = op(e4,e4) ),
inference(resolve,[$cnf( $equal(op(e4,op(e2,e2)),op(e4,op(e2,e2))) )],[refute_21_9,refute_21_10]) ).
cnf(refute_21_12,plain,
op(e4,op(e2,e2)) = op(e4,e4),
inference(resolve,[$cnf( $equal(op(e2,e2),e4) )],[refute_21_8,refute_21_11]) ).
cnf(refute_21_13,plain,
op(op(e2,e2),op(e2,e2)) = op(op(e2,e2),op(e2,e2)),
introduced(tautology,[refl,[$fot(op(op(e2,e2),op(e2,e2)))]]) ).
cnf(refute_21_14,plain,
( op(e2,e2) != e4
| op(op(e2,e2),op(e2,e2)) != op(op(e2,e2),op(e2,e2))
| op(op(e2,e2),op(e2,e2)) = op(e4,op(e2,e2)) ),
introduced(tautology,[equality,[$cnf( $equal(op(op(e2,e2),op(e2,e2)),op(op(e2,e2),op(e2,e2))) ),[1,0],$fot(e4)]]) ).
cnf(refute_21_15,plain,
( op(e2,e2) != e4
| op(op(e2,e2),op(e2,e2)) = op(e4,op(e2,e2)) ),
inference(resolve,[$cnf( $equal(op(op(e2,e2),op(e2,e2)),op(op(e2,e2),op(e2,e2))) )],[refute_21_13,refute_21_14]) ).
cnf(refute_21_16,plain,
op(op(e2,e2),op(e2,e2)) = op(e4,op(e2,e2)),
inference(resolve,[$cnf( $equal(op(e2,e2),e4) )],[refute_21_8,refute_21_15]) ).
cnf(refute_21_17,plain,
( Y != X
| Y != Z
| X = Z ),
introduced(tautology,[equality,[$cnf( $equal(Y,Z) ),[0],$fot(X)]]) ).
cnf(refute_21_18,plain,
( X != Y
| Y != Z
| X = Z ),
inference(resolve,[$cnf( $equal(Y,X) )],[refute_21_6,refute_21_17]) ).
cnf(refute_21_19,plain,
( op(e4,op(e2,e2)) != op(e4,e4)
| op(op(e2,e2),op(e2,e2)) != op(e4,op(e2,e2))
| op(op(e2,e2),op(e2,e2)) = op(e4,e4) ),
inference(subst,[],[refute_21_18:[bind(X,$fot(op(op(e2,e2),op(e2,e2)))),bind(Y,$fot(op(e4,op(e2,e2)))),bind(Z,$fot(op(e4,e4)))]]) ).
cnf(refute_21_20,plain,
( op(e4,op(e2,e2)) != op(e4,e4)
| op(op(e2,e2),op(e2,e2)) = op(e4,e4) ),
inference(resolve,[$cnf( $equal(op(op(e2,e2),op(e2,e2)),op(e4,op(e2,e2))) )],[refute_21_16,refute_21_19]) ).
cnf(refute_21_21,plain,
op(op(e2,e2),op(e2,e2)) = op(e4,e4),
inference(resolve,[$cnf( $equal(op(e4,op(e2,e2)),op(e4,e4)) )],[refute_21_12,refute_21_20]) ).
cnf(refute_21_22,plain,
( e0 != op(op(e2,e2),op(e2,e2))
| op(op(e2,e2),op(e2,e2)) != op(e4,e4)
| e0 = op(e4,e4) ),
introduced(tautology,[equality,[$cnf( ~ $equal(e0,op(e4,e4)) ),[0],$fot(op(op(e2,e2),op(e2,e2)))]]) ).
cnf(refute_21_23,plain,
( e0 != op(op(e2,e2),op(e2,e2))
| e0 = op(e4,e4) ),
inference(resolve,[$cnf( $equal(op(op(e2,e2),op(e2,e2)),op(e4,e4)) )],[refute_21_21,refute_21_22]) ).
cnf(refute_21_24,plain,
e0 = op(e4,e4),
inference(resolve,[$cnf( $equal(e0,op(op(e2,e2),op(e2,e2))) )],[refute_21_2,refute_21_23]) ).
cnf(refute_21_25,plain,
( e0 != op(e4,e4)
| op(e4,e4) = e0 ),
inference(subst,[],[refute_21_6:[bind(X,$fot(e0)),bind(Y,$fot(op(e4,e4)))]]) ).
cnf(refute_21_26,plain,
op(e4,e4) = e0,
inference(resolve,[$cnf( $equal(e0,op(e4,e4)) )],[refute_21_24,refute_21_25]) ).
cnf(refute_21_27,plain,
( op(e1,e4) != e0
| op(e4,e4) != e0
| op(e1,e4) = op(e4,e4) ),
introduced(tautology,[equality,[$cnf( ~ $equal(op(e1,e4),op(e4,e4)) ),[1],$fot(e0)]]) ).
cnf(refute_21_28,plain,
( op(e1,e4) != e0
| op(e1,e4) = op(e4,e4) ),
inference(resolve,[$cnf( $equal(op(e4,e4),e0) )],[refute_21_26,refute_21_27]) ).
cnf(refute_21_29,plain,
op(e1,e4) != e0,
inference(resolve,[$cnf( $equal(op(e1,e4),op(e4,e4)) )],[refute_21_28,refute_21_1]) ).
cnf(refute_21_30,plain,
( op(e1,e4) = e1
| op(e1,e4) = e2
| op(e1,e4) = e3
| op(e1,e4) = e4 ),
inference(resolve,[$cnf( $equal(op(e1,e4),e0) )],[refute_21_0,refute_21_29]) ).
cnf(refute_21_31,plain,
op(e1,e4) != op(e3,e4),
inference(canonicalize,[],[normalize_21_7]) ).
cnf(refute_21_32,plain,
e1 = op(op(e2,op(e2,e2)),op(e2,e2)),
inference(canonicalize,[],[normalize_21_8]) ).
cnf(refute_21_33,plain,
op(e3,op(e2,e2)) = op(e3,op(e2,e2)),
introduced(tautology,[refl,[$fot(op(e3,op(e2,e2)))]]) ).
cnf(refute_21_34,plain,
( op(e2,e2) != e4
| op(e3,op(e2,e2)) != op(e3,op(e2,e2))
| op(e3,op(e2,e2)) = op(e3,e4) ),
introduced(tautology,[equality,[$cnf( $equal(op(e3,op(e2,e2)),op(e3,op(e2,e2))) ),[1,1],$fot(e4)]]) ).
cnf(refute_21_35,plain,
( op(e2,e2) != e4
| op(e3,op(e2,e2)) = op(e3,e4) ),
inference(resolve,[$cnf( $equal(op(e3,op(e2,e2)),op(e3,op(e2,e2))) )],[refute_21_33,refute_21_34]) ).
cnf(refute_21_36,plain,
op(e3,op(e2,e2)) = op(e3,e4),
inference(resolve,[$cnf( $equal(op(e2,e2),e4) )],[refute_21_8,refute_21_35]) ).
cnf(refute_21_37,plain,
e3 = op(e2,op(e2,e2)),
inference(canonicalize,[],[normalize_21_9]) ).
cnf(refute_21_38,plain,
( e3 != op(e2,op(e2,e2))
| op(e2,op(e2,e2)) = e3 ),
inference(subst,[],[refute_21_6:[bind(X,$fot(e3)),bind(Y,$fot(op(e2,op(e2,e2))))]]) ).
cnf(refute_21_39,plain,
op(e2,op(e2,e2)) = e3,
inference(resolve,[$cnf( $equal(e3,op(e2,op(e2,e2))) )],[refute_21_37,refute_21_38]) ).
cnf(refute_21_40,plain,
op(op(e2,op(e2,e2)),op(e2,e2)) = op(op(e2,op(e2,e2)),op(e2,e2)),
introduced(tautology,[refl,[$fot(op(op(e2,op(e2,e2)),op(e2,e2)))]]) ).
cnf(refute_21_41,plain,
( op(e2,op(e2,e2)) != e3
| op(op(e2,op(e2,e2)),op(e2,e2)) != op(op(e2,op(e2,e2)),op(e2,e2))
| op(op(e2,op(e2,e2)),op(e2,e2)) = op(e3,op(e2,e2)) ),
introduced(tautology,[equality,[$cnf( $equal(op(op(e2,op(e2,e2)),op(e2,e2)),op(op(e2,op(e2,e2)),op(e2,e2))) ),[1,0],$fot(e3)]]) ).
cnf(refute_21_42,plain,
( op(e2,op(e2,e2)) != e3
| op(op(e2,op(e2,e2)),op(e2,e2)) = op(e3,op(e2,e2)) ),
inference(resolve,[$cnf( $equal(op(op(e2,op(e2,e2)),op(e2,e2)),op(op(e2,op(e2,e2)),op(e2,e2))) )],[refute_21_40,refute_21_41]) ).
cnf(refute_21_43,plain,
op(op(e2,op(e2,e2)),op(e2,e2)) = op(e3,op(e2,e2)),
inference(resolve,[$cnf( $equal(op(e2,op(e2,e2)),e3) )],[refute_21_39,refute_21_42]) ).
cnf(refute_21_44,plain,
( op(e3,op(e2,e2)) != op(e3,e4)
| op(op(e2,op(e2,e2)),op(e2,e2)) != op(e3,op(e2,e2))
| op(op(e2,op(e2,e2)),op(e2,e2)) = op(e3,e4) ),
inference(subst,[],[refute_21_18:[bind(X,$fot(op(op(e2,op(e2,e2)),op(e2,e2)))),bind(Y,$fot(op(e3,op(e2,e2)))),bind(Z,$fot(op(e3,e4)))]]) ).
cnf(refute_21_45,plain,
( op(e3,op(e2,e2)) != op(e3,e4)
| op(op(e2,op(e2,e2)),op(e2,e2)) = op(e3,e4) ),
inference(resolve,[$cnf( $equal(op(op(e2,op(e2,e2)),op(e2,e2)),op(e3,op(e2,e2))) )],[refute_21_43,refute_21_44]) ).
cnf(refute_21_46,plain,
op(op(e2,op(e2,e2)),op(e2,e2)) = op(e3,e4),
inference(resolve,[$cnf( $equal(op(e3,op(e2,e2)),op(e3,e4)) )],[refute_21_36,refute_21_45]) ).
cnf(refute_21_47,plain,
( e1 != op(op(e2,op(e2,e2)),op(e2,e2))
| op(op(e2,op(e2,e2)),op(e2,e2)) != op(e3,e4)
| e1 = op(e3,e4) ),
introduced(tautology,[equality,[$cnf( ~ $equal(e1,op(e3,e4)) ),[0],$fot(op(op(e2,op(e2,e2)),op(e2,e2)))]]) ).
cnf(refute_21_48,plain,
( e1 != op(op(e2,op(e2,e2)),op(e2,e2))
| e1 = op(e3,e4) ),
inference(resolve,[$cnf( $equal(op(op(e2,op(e2,e2)),op(e2,e2)),op(e3,e4)) )],[refute_21_46,refute_21_47]) ).
cnf(refute_21_49,plain,
e1 = op(e3,e4),
inference(resolve,[$cnf( $equal(e1,op(op(e2,op(e2,e2)),op(e2,e2))) )],[refute_21_32,refute_21_48]) ).
cnf(refute_21_50,plain,
( e1 != op(e3,e4)
| op(e3,e4) = e1 ),
inference(subst,[],[refute_21_6:[bind(X,$fot(e1)),bind(Y,$fot(op(e3,e4)))]]) ).
cnf(refute_21_51,plain,
op(e3,e4) = e1,
inference(resolve,[$cnf( $equal(e1,op(e3,e4)) )],[refute_21_49,refute_21_50]) ).
cnf(refute_21_52,plain,
( op(e1,e4) != e1
| op(e3,e4) != e1
| op(e1,e4) = op(e3,e4) ),
introduced(tautology,[equality,[$cnf( ~ $equal(op(e1,e4),op(e3,e4)) ),[1],$fot(e1)]]) ).
cnf(refute_21_53,plain,
( op(e1,e4) != e1
| op(e1,e4) = op(e3,e4) ),
inference(resolve,[$cnf( $equal(op(e3,e4),e1) )],[refute_21_51,refute_21_52]) ).
cnf(refute_21_54,plain,
op(e1,e4) != e1,
inference(resolve,[$cnf( $equal(op(e1,e4),op(e3,e4)) )],[refute_21_53,refute_21_31]) ).
cnf(refute_21_55,plain,
( op(e1,e4) = e2
| op(e1,e4) = e3
| op(e1,e4) = e4 ),
inference(resolve,[$cnf( $equal(op(e1,e4),e1) )],[refute_21_30,refute_21_54]) ).
cnf(refute_21_56,plain,
op(e1,e4) != op(e2,e4),
inference(canonicalize,[],[normalize_21_10]) ).
cnf(refute_21_57,plain,
op(e2,op(e2,e2)) = op(e2,op(e2,e2)),
introduced(tautology,[refl,[$fot(op(e2,op(e2,e2)))]]) ).
cnf(refute_21_58,plain,
( op(e2,e2) != e4
| op(e2,op(e2,e2)) != op(e2,op(e2,e2))
| op(e2,op(e2,e2)) = op(e2,e4) ),
introduced(tautology,[equality,[$cnf( $equal(op(e2,op(e2,e2)),op(e2,op(e2,e2))) ),[1,1],$fot(e4)]]) ).
cnf(refute_21_59,plain,
( op(e2,e2) != e4
| op(e2,op(e2,e2)) = op(e2,e4) ),
inference(resolve,[$cnf( $equal(op(e2,op(e2,e2)),op(e2,op(e2,e2))) )],[refute_21_57,refute_21_58]) ).
cnf(refute_21_60,plain,
op(e2,op(e2,e2)) = op(e2,e4),
inference(resolve,[$cnf( $equal(op(e2,e2),e4) )],[refute_21_8,refute_21_59]) ).
cnf(refute_21_61,plain,
( e3 != op(e2,op(e2,e2))
| op(e2,op(e2,e2)) != op(e2,e4)
| e3 = op(e2,e4) ),
introduced(tautology,[equality,[$cnf( ~ $equal(e3,op(e2,e4)) ),[0],$fot(op(e2,op(e2,e2)))]]) ).
cnf(refute_21_62,plain,
( e3 != op(e2,op(e2,e2))
| e3 = op(e2,e4) ),
inference(resolve,[$cnf( $equal(op(e2,op(e2,e2)),op(e2,e4)) )],[refute_21_60,refute_21_61]) ).
cnf(refute_21_63,plain,
e3 = op(e2,e4),
inference(resolve,[$cnf( $equal(e3,op(e2,op(e2,e2))) )],[refute_21_37,refute_21_62]) ).
cnf(refute_21_64,plain,
( e3 != op(e2,e4)
| op(e2,e4) = e3 ),
inference(subst,[],[refute_21_6:[bind(X,$fot(e3)),bind(Y,$fot(op(e2,e4)))]]) ).
cnf(refute_21_65,plain,
op(e2,e4) = e3,
inference(resolve,[$cnf( $equal(e3,op(e2,e4)) )],[refute_21_63,refute_21_64]) ).
cnf(refute_21_66,plain,
( op(e1,e4) != e3
| op(e2,e4) != e3
| op(e1,e4) = op(e2,e4) ),
introduced(tautology,[equality,[$cnf( ~ $equal(op(e1,e4),op(e2,e4)) ),[1],$fot(e3)]]) ).
cnf(refute_21_67,plain,
( op(e1,e4) != e3
| op(e1,e4) = op(e2,e4) ),
inference(resolve,[$cnf( $equal(op(e2,e4),e3) )],[refute_21_65,refute_21_66]) ).
cnf(refute_21_68,plain,
op(e1,e4) != e3,
inference(resolve,[$cnf( $equal(op(e1,e4),op(e2,e4)) )],[refute_21_67,refute_21_56]) ).
cnf(refute_21_69,plain,
( op(e1,e4) = e2
| op(e1,e4) = e4 ),
inference(resolve,[$cnf( $equal(op(e1,e4),e3) )],[refute_21_55,refute_21_68]) ).
cnf(refute_21_70,plain,
op(e0,e4) != op(e1,e4),
inference(canonicalize,[],[normalize_21_11]) ).
cnf(refute_21_71,plain,
op(unit,e4) = e4,
inference(canonicalize,[],[normalize_21_13]) ).
cnf(refute_21_72,plain,
op(e1,e4) != op(e4,e1),
inference(canonicalize,[],[normalize_21_15]) ).
cnf(refute_21_73,plain,
( op(e0,e4) = e4
| op(e1,e4) = e4
| op(e2,e4) = e4
| op(e3,e4) = e4
| op(e4,e4) = e4 ),
inference(canonicalize,[],[normalize_21_17]) ).
cnf(refute_21_74,plain,
op(e2,e2) != op(e2,e4),
inference(canonicalize,[],[normalize_21_18]) ).
cnf(refute_21_75,plain,
( e4 != op(e2,e4)
| op(e2,e2) != e4
| op(e2,e2) = op(e2,e4) ),
introduced(tautology,[equality,[$cnf( $equal(op(e2,e2),e4) ),[1],$fot(op(e2,e4))]]) ).
cnf(refute_21_76,plain,
( e4 != op(e2,e4)
| op(e2,e2) = op(e2,e4) ),
inference(resolve,[$cnf( $equal(op(e2,e2),e4) )],[refute_21_8,refute_21_75]) ).
cnf(refute_21_77,plain,
e4 != op(e2,e4),
inference(resolve,[$cnf( $equal(op(e2,e2),op(e2,e4)) )],[refute_21_76,refute_21_74]) ).
cnf(refute_21_78,plain,
( op(e2,e4) != e4
| e4 = op(e2,e4) ),
inference(subst,[],[refute_21_6:[bind(X,$fot(op(e2,e4))),bind(Y,$fot(e4))]]) ).
cnf(refute_21_79,plain,
op(e2,e4) != e4,
inference(resolve,[$cnf( $equal(e4,op(e2,e4)) )],[refute_21_78,refute_21_77]) ).
cnf(refute_21_80,plain,
( op(e0,e4) = e4
| op(e1,e4) = e4
| op(e3,e4) = e4
| op(e4,e4) = e4 ),
inference(resolve,[$cnf( $equal(op(e2,e4),e4) )],[refute_21_73,refute_21_79]) ).
cnf(refute_21_81,plain,
( op(e3,e4) != e1
| op(e3,e4) != e4
| e1 = e4 ),
introduced(tautology,[equality,[$cnf( $equal(op(e3,e4),e4) ),[0],$fot(e1)]]) ).
cnf(refute_21_82,plain,
( op(e3,e4) != e4
| e1 = e4 ),
inference(resolve,[$cnf( $equal(op(e3,e4),e1) )],[refute_21_51,refute_21_81]) ).
cnf(refute_21_83,plain,
( e1 = e4
| op(e0,e4) = e4
| op(e1,e4) = e4
| op(e4,e4) = e4 ),
inference(resolve,[$cnf( $equal(op(e3,e4),e4) )],[refute_21_80,refute_21_82]) ).
cnf(refute_21_84,plain,
( op(e4,e4) != e0
| op(e4,e4) != e4
| e0 = e4 ),
introduced(tautology,[equality,[$cnf( $equal(op(e4,e4),e4) ),[0],$fot(e0)]]) ).
cnf(refute_21_85,plain,
( op(e4,e4) != e4
| e0 = e4 ),
inference(resolve,[$cnf( $equal(op(e4,e4),e0) )],[refute_21_26,refute_21_84]) ).
cnf(refute_21_86,plain,
( e0 = e4
| e1 = e4
| op(e0,e4) = e4
| op(e1,e4) = e4 ),
inference(resolve,[$cnf( $equal(op(e4,e4),e4) )],[refute_21_83,refute_21_85]) ).
cnf(refute_21_87,plain,
e0 != e4,
inference(canonicalize,[],[normalize_21_20]) ).
cnf(refute_21_88,plain,
( e1 = e4
| op(e0,e4) = e4
| op(e1,e4) = e4 ),
inference(resolve,[$cnf( $equal(e0,e4) )],[refute_21_86,refute_21_87]) ).
cnf(refute_21_89,plain,
e1 != e4,
inference(canonicalize,[],[normalize_21_21]) ).
cnf(refute_21_90,plain,
( op(e0,e4) = e4
| op(e1,e4) = e4 ),
inference(resolve,[$cnf( $equal(e1,e4) )],[refute_21_88,refute_21_89]) ).
cnf(refute_21_91,plain,
( e4 != op(e4,e1)
| op(e1,e4) != e4
| op(e1,e4) = op(e4,e1) ),
introduced(tautology,[equality,[$cnf( $equal(op(e1,e4),e4) ),[1],$fot(op(e4,e1))]]) ).
cnf(refute_21_92,plain,
( e4 != op(e4,e1)
| op(e0,e4) = e4
| op(e1,e4) = op(e4,e1) ),
inference(resolve,[$cnf( $equal(op(e1,e4),e4) )],[refute_21_90,refute_21_91]) ).
cnf(refute_21_93,plain,
( e4 != op(e4,e1)
| op(e0,e4) = e4 ),
inference(resolve,[$cnf( $equal(op(e1,e4),op(e4,e1)) )],[refute_21_92,refute_21_72]) ).
cnf(refute_21_94,plain,
op(e4,unit) = e4,
inference(canonicalize,[],[normalize_21_22]) ).
cnf(refute_21_95,plain,
( unit = e0
| unit = e1
| unit = e2
| unit = e3
| unit = e4 ),
inference(canonicalize,[],[normalize_21_23]) ).
cnf(refute_21_96,plain,
( op(unit,e4) != e4
| unit != e2
| op(e2,e4) = e4 ),
introduced(tautology,[equality,[$cnf( $equal(op(unit,e4),e4) ),[0,0],$fot(e2)]]) ).
cnf(refute_21_97,plain,
( op(unit,e4) != e4
| op(e2,e4) = e4
| unit = e0
| unit = e1
| unit = e3
| unit = e4 ),
inference(resolve,[$cnf( $equal(unit,e2) )],[refute_21_95,refute_21_96]) ).
cnf(refute_21_98,plain,
( op(e2,e4) = e4
| unit = e0
| unit = e1
| unit = e3
| unit = e4 ),
inference(resolve,[$cnf( $equal(op(unit,e4),e4) )],[refute_21_71,refute_21_97]) ).
cnf(refute_21_99,plain,
( op(e2,e4) != e3
| op(e2,e4) != e4
| e3 = e4 ),
introduced(tautology,[equality,[$cnf( $equal(op(e2,e4),e4) ),[0],$fot(e3)]]) ).
cnf(refute_21_100,plain,
( op(e2,e4) != e4
| e3 = e4 ),
inference(resolve,[$cnf( $equal(op(e2,e4),e3) )],[refute_21_65,refute_21_99]) ).
cnf(refute_21_101,plain,
( e3 = e4
| unit = e0
| unit = e1
| unit = e3
| unit = e4 ),
inference(resolve,[$cnf( $equal(op(e2,e4),e4) )],[refute_21_98,refute_21_100]) ).
cnf(refute_21_102,plain,
e3 != e4,
inference(canonicalize,[],[normalize_21_24]) ).
cnf(refute_21_103,plain,
( unit = e0
| unit = e1
| unit = e3
| unit = e4 ),
inference(resolve,[$cnf( $equal(e3,e4) )],[refute_21_101,refute_21_102]) ).
cnf(refute_21_104,plain,
( op(unit,e4) != e4
| unit != e3
| op(e3,e4) = e4 ),
introduced(tautology,[equality,[$cnf( $equal(op(unit,e4),e4) ),[0,0],$fot(e3)]]) ).
cnf(refute_21_105,plain,
( op(unit,e4) != e4
| op(e3,e4) = e4
| unit = e0
| unit = e1
| unit = e4 ),
inference(resolve,[$cnf( $equal(unit,e3) )],[refute_21_103,refute_21_104]) ).
cnf(refute_21_106,plain,
( op(e3,e4) = e4
| unit = e0
| unit = e1
| unit = e4 ),
inference(resolve,[$cnf( $equal(op(unit,e4),e4) )],[refute_21_71,refute_21_105]) ).
cnf(refute_21_107,plain,
( e1 = e4
| unit = e0
| unit = e1
| unit = e4 ),
inference(resolve,[$cnf( $equal(op(e3,e4),e4) )],[refute_21_106,refute_21_82]) ).
cnf(refute_21_108,plain,
( unit = e0
| unit = e1
| unit = e4 ),
inference(resolve,[$cnf( $equal(e1,e4) )],[refute_21_107,refute_21_89]) ).
cnf(refute_21_109,plain,
( op(unit,e4) != e4
| unit != e4
| op(e4,e4) = e4 ),
introduced(tautology,[equality,[$cnf( $equal(op(unit,e4),e4) ),[0,0],$fot(e4)]]) ).
cnf(refute_21_110,plain,
( op(unit,e4) != e4
| op(e4,e4) = e4
| unit = e0
| unit = e1 ),
inference(resolve,[$cnf( $equal(unit,e4) )],[refute_21_108,refute_21_109]) ).
cnf(refute_21_111,plain,
( op(e4,e4) = e4
| unit = e0
| unit = e1 ),
inference(resolve,[$cnf( $equal(op(unit,e4),e4) )],[refute_21_71,refute_21_110]) ).
cnf(refute_21_112,plain,
( e0 = e4
| unit = e0
| unit = e1 ),
inference(resolve,[$cnf( $equal(op(e4,e4),e4) )],[refute_21_111,refute_21_85]) ).
cnf(refute_21_113,plain,
( unit = e0
| unit = e1 ),
inference(resolve,[$cnf( $equal(e0,e4) )],[refute_21_112,refute_21_87]) ).
cnf(refute_21_114,plain,
( op(e4,unit) != e4
| unit != e1
| op(e4,e1) = e4 ),
introduced(tautology,[equality,[$cnf( $equal(op(e4,unit),e4) ),[0,1],$fot(e1)]]) ).
cnf(refute_21_115,plain,
( op(e4,unit) != e4
| op(e4,e1) = e4
| unit = e0 ),
inference(resolve,[$cnf( $equal(unit,e1) )],[refute_21_113,refute_21_114]) ).
cnf(refute_21_116,plain,
( op(e4,e1) = e4
| unit = e0 ),
inference(resolve,[$cnf( $equal(op(e4,unit),e4) )],[refute_21_94,refute_21_115]) ).
cnf(refute_21_117,plain,
( e4 != e4
| op(e4,e1) != e4
| e4 = op(e4,e1) ),
introduced(tautology,[equality,[$cnf( ~ $equal(e4,op(e4,e1)) ),[1],$fot(e4)]]) ).
cnf(refute_21_118,plain,
( e4 != e4
| e4 = op(e4,e1)
| unit = e0 ),
inference(resolve,[$cnf( $equal(op(e4,e1),e4) )],[refute_21_116,refute_21_117]) ).
cnf(refute_21_119,plain,
( e4 != e4
| op(e0,e4) = e4
| unit = e0 ),
inference(resolve,[$cnf( $equal(e4,op(e4,e1)) )],[refute_21_118,refute_21_93]) ).
cnf(refute_21_120,plain,
e4 = e4,
introduced(tautology,[refl,[$fot(e4)]]) ).
cnf(refute_21_121,plain,
( op(e0,e4) = e4
| unit = e0 ),
inference(resolve,[$cnf( $equal(e4,e4) )],[refute_21_120,refute_21_119]) ).
cnf(refute_21_122,plain,
( e4 != op(e1,e4)
| op(e0,e4) != e4
| op(e0,e4) = op(e1,e4) ),
introduced(tautology,[equality,[$cnf( $equal(op(e0,e4),e4) ),[1],$fot(op(e1,e4))]]) ).
cnf(refute_21_123,plain,
( e4 != op(e1,e4)
| op(e0,e4) = op(e1,e4)
| unit = e0 ),
inference(resolve,[$cnf( $equal(op(e0,e4),e4) )],[refute_21_121,refute_21_122]) ).
cnf(refute_21_124,plain,
( e4 != op(e1,e4)
| unit = e0 ),
inference(resolve,[$cnf( $equal(op(e0,e4),op(e1,e4)) )],[refute_21_123,refute_21_70]) ).
cnf(refute_21_125,plain,
( op(unit,e4) != e4
| unit != e1
| op(e1,e4) = e4 ),
introduced(tautology,[equality,[$cnf( $equal(op(unit,e4),e4) ),[0,0],$fot(e1)]]) ).
cnf(refute_21_126,plain,
( op(unit,e4) != e4
| op(e1,e4) = e4
| unit = e0 ),
inference(resolve,[$cnf( $equal(unit,e1) )],[refute_21_113,refute_21_125]) ).
cnf(refute_21_127,plain,
( op(e1,e4) = e4
| unit = e0 ),
inference(resolve,[$cnf( $equal(op(unit,e4),e4) )],[refute_21_71,refute_21_126]) ).
cnf(refute_21_128,plain,
( e4 != e4
| op(e1,e4) != e4
| e4 = op(e1,e4) ),
introduced(tautology,[equality,[$cnf( ~ $equal(e4,op(e1,e4)) ),[1],$fot(e4)]]) ).
cnf(refute_21_129,plain,
( e4 != e4
| e4 = op(e1,e4)
| unit = e0 ),
inference(resolve,[$cnf( $equal(op(e1,e4),e4) )],[refute_21_127,refute_21_128]) ).
cnf(refute_21_130,plain,
( e4 != e4
| unit = e0 ),
inference(resolve,[$cnf( $equal(e4,op(e1,e4)) )],[refute_21_129,refute_21_124]) ).
cnf(refute_21_131,plain,
unit = e0,
inference(resolve,[$cnf( $equal(e4,e4) )],[refute_21_120,refute_21_130]) ).
cnf(refute_21_132,plain,
op(unit,e4) = op(unit,e4),
introduced(tautology,[refl,[$fot(op(unit,e4))]]) ).
cnf(refute_21_133,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_21_134,plain,
( unit != e0
| op(unit,e4) = op(e0,e4) ),
inference(resolve,[$cnf( $equal(op(unit,e4),op(unit,e4)) )],[refute_21_132,refute_21_133]) ).
cnf(refute_21_135,plain,
op(unit,e4) = op(e0,e4),
inference(resolve,[$cnf( $equal(unit,e0) )],[refute_21_131,refute_21_134]) ).
cnf(refute_21_136,plain,
( op(unit,e4) != e4
| op(unit,e4) != op(e0,e4)
| op(e0,e4) = e4 ),
introduced(tautology,[equality,[$cnf( $equal(op(unit,e4),e4) ),[0],$fot(op(e0,e4))]]) ).
cnf(refute_21_137,plain,
( op(unit,e4) != e4
| op(e0,e4) = e4 ),
inference(resolve,[$cnf( $equal(op(unit,e4),op(e0,e4)) )],[refute_21_135,refute_21_136]) ).
cnf(refute_21_138,plain,
op(e0,e4) = e4,
inference(resolve,[$cnf( $equal(op(unit,e4),e4) )],[refute_21_71,refute_21_137]) ).
cnf(refute_21_139,plain,
( e4 != op(e1,e4)
| op(e0,e4) = op(e1,e4) ),
inference(resolve,[$cnf( $equal(op(e0,e4),e4) )],[refute_21_138,refute_21_122]) ).
cnf(refute_21_140,plain,
e4 != op(e1,e4),
inference(resolve,[$cnf( $equal(op(e0,e4),op(e1,e4)) )],[refute_21_139,refute_21_70]) ).
cnf(refute_21_141,plain,
( op(e1,e4) != e4
| e4 = op(e1,e4) ),
inference(subst,[],[refute_21_6:[bind(X,$fot(op(e1,e4))),bind(Y,$fot(e4))]]) ).
cnf(refute_21_142,plain,
op(e1,e4) != e4,
inference(resolve,[$cnf( $equal(e4,op(e1,e4)) )],[refute_21_141,refute_21_140]) ).
cnf(refute_21_143,plain,
op(e1,e4) = e2,
inference(resolve,[$cnf( $equal(op(e1,e4),e4) )],[refute_21_69,refute_21_142]) ).
cnf(refute_21_144,plain,
op(e1,e2) != op(e3,e2),
inference(canonicalize,[],[normalize_21_25]) ).
cnf(refute_21_145,plain,
( op(e1,e2) = e0
| op(e1,e2) = e1
| op(e1,e2) = e2
| op(e1,e2) = e3
| op(e1,e2) = e4 ),
inference(canonicalize,[],[normalize_21_26]) ).
cnf(refute_21_146,plain,
op(e1,e2) != op(e2,e2),
inference(canonicalize,[],[normalize_21_27]) ).
cnf(refute_21_147,plain,
( op(e1,e2) != e4
| op(e2,e2) != e4
| op(e1,e2) = op(e2,e2) ),
introduced(tautology,[equality,[$cnf( ~ $equal(op(e1,e2),op(e2,e2)) ),[1],$fot(e4)]]) ).
cnf(refute_21_148,plain,
( op(e1,e2) != e4
| op(e1,e2) = op(e2,e2) ),
inference(resolve,[$cnf( $equal(op(e2,e2),e4) )],[refute_21_8,refute_21_147]) ).
cnf(refute_21_149,plain,
op(e1,e2) != e4,
inference(resolve,[$cnf( $equal(op(e1,e2),op(e2,e2)) )],[refute_21_148,refute_21_146]) ).
cnf(refute_21_150,plain,
( op(e1,e2) = e0
| op(e1,e2) = e1
| op(e1,e2) = e2
| op(e1,e2) = e3 ),
inference(resolve,[$cnf( $equal(op(e1,e2),e4) )],[refute_21_145,refute_21_149]) ).
cnf(refute_21_151,plain,
op(e1,e0) != op(e1,e2),
inference(canonicalize,[],[normalize_21_28]) ).
cnf(refute_21_152,plain,
op(e1,unit) = e1,
inference(canonicalize,[],[normalize_21_29]) ).
cnf(refute_21_153,plain,
op(e1,unit) = op(e1,unit),
introduced(tautology,[refl,[$fot(op(e1,unit))]]) ).
cnf(refute_21_154,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_155,plain,
( unit != e0
| op(e1,unit) = op(e1,e0) ),
inference(resolve,[$cnf( $equal(op(e1,unit),op(e1,unit)) )],[refute_21_153,refute_21_154]) ).
cnf(refute_21_156,plain,
op(e1,unit) = op(e1,e0),
inference(resolve,[$cnf( $equal(unit,e0) )],[refute_21_131,refute_21_155]) ).
cnf(refute_21_157,plain,
( op(e1,unit) != e1
| op(e1,unit) != op(e1,e0)
| op(e1,e0) = e1 ),
introduced(tautology,[equality,[$cnf( $equal(op(e1,unit),e1) ),[0],$fot(op(e1,e0))]]) ).
cnf(refute_21_158,plain,
( op(e1,unit) != e1
| op(e1,e0) = e1 ),
inference(resolve,[$cnf( $equal(op(e1,unit),op(e1,e0)) )],[refute_21_156,refute_21_157]) ).
cnf(refute_21_159,plain,
op(e1,e0) = e1,
inference(resolve,[$cnf( $equal(op(e1,unit),e1) )],[refute_21_152,refute_21_158]) ).
cnf(refute_21_160,plain,
( e1 != op(e1,e2)
| op(e1,e0) != e1
| op(e1,e0) = op(e1,e2) ),
introduced(tautology,[equality,[$cnf( $equal(op(e1,e0),e1) ),[1],$fot(op(e1,e2))]]) ).
cnf(refute_21_161,plain,
( e1 != op(e1,e2)
| op(e1,e0) = op(e1,e2) ),
inference(resolve,[$cnf( $equal(op(e1,e0),e1) )],[refute_21_159,refute_21_160]) ).
cnf(refute_21_162,plain,
e1 != op(e1,e2),
inference(resolve,[$cnf( $equal(op(e1,e0),op(e1,e2)) )],[refute_21_161,refute_21_151]) ).
cnf(refute_21_163,plain,
( op(e1,e2) != e1
| e1 = op(e1,e2) ),
inference(subst,[],[refute_21_6:[bind(X,$fot(op(e1,e2))),bind(Y,$fot(e1))]]) ).
cnf(refute_21_164,plain,
op(e1,e2) != e1,
inference(resolve,[$cnf( $equal(e1,op(e1,e2)) )],[refute_21_163,refute_21_162]) ).
cnf(refute_21_165,plain,
( op(e1,e2) = e0
| op(e1,e2) = e2
| op(e1,e2) = e3 ),
inference(resolve,[$cnf( $equal(op(e1,e2),e1) )],[refute_21_150,refute_21_164]) ).
cnf(refute_21_166,plain,
op(e0,e2) != op(e1,e2),
inference(canonicalize,[],[normalize_21_30]) ).
cnf(refute_21_167,plain,
op(unit,e2) = e2,
inference(canonicalize,[],[normalize_21_31]) ).
cnf(refute_21_168,plain,
op(unit,e2) = op(unit,e2),
introduced(tautology,[refl,[$fot(op(unit,e2))]]) ).
cnf(refute_21_169,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_170,plain,
( unit != e0
| op(unit,e2) = op(e0,e2) ),
inference(resolve,[$cnf( $equal(op(unit,e2),op(unit,e2)) )],[refute_21_168,refute_21_169]) ).
cnf(refute_21_171,plain,
op(unit,e2) = op(e0,e2),
inference(resolve,[$cnf( $equal(unit,e0) )],[refute_21_131,refute_21_170]) ).
cnf(refute_21_172,plain,
( op(unit,e2) != e2
| op(unit,e2) != op(e0,e2)
| op(e0,e2) = e2 ),
introduced(tautology,[equality,[$cnf( $equal(op(unit,e2),e2) ),[0],$fot(op(e0,e2))]]) ).
cnf(refute_21_173,plain,
( op(unit,e2) != e2
| op(e0,e2) = e2 ),
inference(resolve,[$cnf( $equal(op(unit,e2),op(e0,e2)) )],[refute_21_171,refute_21_172]) ).
cnf(refute_21_174,plain,
op(e0,e2) = e2,
inference(resolve,[$cnf( $equal(op(unit,e2),e2) )],[refute_21_167,refute_21_173]) ).
cnf(refute_21_175,plain,
( e2 != op(e1,e2)
| op(e0,e2) != e2
| op(e0,e2) = op(e1,e2) ),
introduced(tautology,[equality,[$cnf( $equal(op(e0,e2),e2) ),[1],$fot(op(e1,e2))]]) ).
cnf(refute_21_176,plain,
( e2 != op(e1,e2)
| op(e0,e2) = op(e1,e2) ),
inference(resolve,[$cnf( $equal(op(e0,e2),e2) )],[refute_21_174,refute_21_175]) ).
cnf(refute_21_177,plain,
e2 != op(e1,e2),
inference(resolve,[$cnf( $equal(op(e0,e2),op(e1,e2)) )],[refute_21_176,refute_21_166]) ).
cnf(refute_21_178,plain,
( op(e1,e2) != e2
| e2 = op(e1,e2) ),
inference(subst,[],[refute_21_6:[bind(X,$fot(op(e1,e2))),bind(Y,$fot(e2))]]) ).
cnf(refute_21_179,plain,
op(e1,e2) != e2,
inference(resolve,[$cnf( $equal(e2,op(e1,e2)) )],[refute_21_178,refute_21_177]) ).
cnf(refute_21_180,plain,
( op(e1,e2) = e0
| op(e1,e2) = e3 ),
inference(resolve,[$cnf( $equal(op(e1,e2),e2) )],[refute_21_165,refute_21_179]) ).
cnf(refute_21_181,plain,
( e0 != op(e3,e2)
| op(e1,e2) != e0
| op(e1,e2) = op(e3,e2) ),
introduced(tautology,[equality,[$cnf( $equal(op(e1,e2),e0) ),[1],$fot(op(e3,e2))]]) ).
cnf(refute_21_182,plain,
( e0 != op(e3,e2)
| op(e1,e2) = e3
| op(e1,e2) = op(e3,e2) ),
inference(resolve,[$cnf( $equal(op(e1,e2),e0) )],[refute_21_180,refute_21_181]) ).
cnf(refute_21_183,plain,
( e0 != op(e3,e2)
| op(e1,e2) = e3 ),
inference(resolve,[$cnf( $equal(op(e1,e2),op(e3,e2)) )],[refute_21_182,refute_21_144]) ).
cnf(refute_21_184,plain,
( op(e3,e2) = e0
| op(e3,e2) = e1
| op(e3,e2) = e2
| op(e3,e2) = e3
| op(e3,e2) = e4 ),
inference(canonicalize,[],[normalize_21_32]) ).
cnf(refute_21_185,plain,
op(e2,e2) != op(e3,e2),
inference(canonicalize,[],[normalize_21_33]) ).
cnf(refute_21_186,plain,
( e4 != op(e3,e2)
| op(e2,e2) != e4
| op(e2,e2) = op(e3,e2) ),
introduced(tautology,[equality,[$cnf( $equal(op(e2,e2),e4) ),[1],$fot(op(e3,e2))]]) ).
cnf(refute_21_187,plain,
( e4 != op(e3,e2)
| op(e2,e2) = op(e3,e2) ),
inference(resolve,[$cnf( $equal(op(e2,e2),e4) )],[refute_21_8,refute_21_186]) ).
cnf(refute_21_188,plain,
e4 != op(e3,e2),
inference(resolve,[$cnf( $equal(op(e2,e2),op(e3,e2)) )],[refute_21_187,refute_21_185]) ).
cnf(refute_21_189,plain,
( op(e3,e2) != e4
| e4 = op(e3,e2) ),
inference(subst,[],[refute_21_6:[bind(X,$fot(op(e3,e2))),bind(Y,$fot(e4))]]) ).
cnf(refute_21_190,plain,
op(e3,e2) != e4,
inference(resolve,[$cnf( $equal(e4,op(e3,e2)) )],[refute_21_189,refute_21_188]) ).
cnf(refute_21_191,plain,
( op(e3,e2) = e0
| op(e3,e2) = e1
| op(e3,e2) = e2
| op(e3,e2) = e3 ),
inference(resolve,[$cnf( $equal(op(e3,e2),e4) )],[refute_21_184,refute_21_190]) ).
cnf(refute_21_192,plain,
op(e3,e2) != op(e3,e4),
inference(canonicalize,[],[normalize_21_34]) ).
cnf(refute_21_193,plain,
( op(e3,e2) != e1
| op(e3,e4) != e1
| op(e3,e2) = op(e3,e4) ),
introduced(tautology,[equality,[$cnf( ~ $equal(op(e3,e2),op(e3,e4)) ),[1],$fot(e1)]]) ).
cnf(refute_21_194,plain,
( op(e3,e2) != e1
| op(e3,e2) = op(e3,e4) ),
inference(resolve,[$cnf( $equal(op(e3,e4),e1) )],[refute_21_51,refute_21_193]) ).
cnf(refute_21_195,plain,
op(e3,e2) != e1,
inference(resolve,[$cnf( $equal(op(e3,e2),op(e3,e4)) )],[refute_21_194,refute_21_192]) ).
cnf(refute_21_196,plain,
( op(e3,e2) = e0
| op(e3,e2) = e2
| op(e3,e2) = e3 ),
inference(resolve,[$cnf( $equal(op(e3,e2),e1) )],[refute_21_191,refute_21_195]) ).
cnf(refute_21_197,plain,
op(e0,e2) != op(e3,e2),
inference(canonicalize,[],[normalize_21_35]) ).
cnf(refute_21_198,plain,
( e2 != op(e3,e2)
| op(e0,e2) != e2
| op(e0,e2) = op(e3,e2) ),
introduced(tautology,[equality,[$cnf( $equal(op(e0,e2),e2) ),[1],$fot(op(e3,e2))]]) ).
cnf(refute_21_199,plain,
( e2 != op(e3,e2)
| op(e0,e2) = op(e3,e2) ),
inference(resolve,[$cnf( $equal(op(e0,e2),e2) )],[refute_21_174,refute_21_198]) ).
cnf(refute_21_200,plain,
e2 != op(e3,e2),
inference(resolve,[$cnf( $equal(op(e0,e2),op(e3,e2)) )],[refute_21_199,refute_21_197]) ).
cnf(refute_21_201,plain,
( op(e3,e2) != e2
| e2 = op(e3,e2) ),
inference(subst,[],[refute_21_6:[bind(X,$fot(op(e3,e2))),bind(Y,$fot(e2))]]) ).
cnf(refute_21_202,plain,
op(e3,e2) != e2,
inference(resolve,[$cnf( $equal(e2,op(e3,e2)) )],[refute_21_201,refute_21_200]) ).
cnf(refute_21_203,plain,
( op(e3,e2) = e0
| op(e3,e2) = e3 ),
inference(resolve,[$cnf( $equal(op(e3,e2),e2) )],[refute_21_196,refute_21_202]) ).
cnf(refute_21_204,plain,
op(e3,e0) != op(e3,e2),
inference(canonicalize,[],[normalize_21_36]) ).
cnf(refute_21_205,plain,
op(e3,unit) = e3,
inference(canonicalize,[],[normalize_21_37]) ).
cnf(refute_21_206,plain,
op(e3,unit) = op(e3,unit),
introduced(tautology,[refl,[$fot(op(e3,unit))]]) ).
cnf(refute_21_207,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_208,plain,
( unit != e0
| op(e3,unit) = op(e3,e0) ),
inference(resolve,[$cnf( $equal(op(e3,unit),op(e3,unit)) )],[refute_21_206,refute_21_207]) ).
cnf(refute_21_209,plain,
op(e3,unit) = op(e3,e0),
inference(resolve,[$cnf( $equal(unit,e0) )],[refute_21_131,refute_21_208]) ).
cnf(refute_21_210,plain,
( op(e3,unit) != e3
| op(e3,unit) != op(e3,e0)
| op(e3,e0) = e3 ),
introduced(tautology,[equality,[$cnf( $equal(op(e3,unit),e3) ),[0],$fot(op(e3,e0))]]) ).
cnf(refute_21_211,plain,
( op(e3,unit) != e3
| op(e3,e0) = e3 ),
inference(resolve,[$cnf( $equal(op(e3,unit),op(e3,e0)) )],[refute_21_209,refute_21_210]) ).
cnf(refute_21_212,plain,
op(e3,e0) = e3,
inference(resolve,[$cnf( $equal(op(e3,unit),e3) )],[refute_21_205,refute_21_211]) ).
cnf(refute_21_213,plain,
( e3 != op(e3,e2)
| op(e3,e0) != e3
| op(e3,e0) = op(e3,e2) ),
introduced(tautology,[equality,[$cnf( $equal(op(e3,e0),e3) ),[1],$fot(op(e3,e2))]]) ).
cnf(refute_21_214,plain,
( e3 != op(e3,e2)
| op(e3,e0) = op(e3,e2) ),
inference(resolve,[$cnf( $equal(op(e3,e0),e3) )],[refute_21_212,refute_21_213]) ).
cnf(refute_21_215,plain,
e3 != op(e3,e2),
inference(resolve,[$cnf( $equal(op(e3,e0),op(e3,e2)) )],[refute_21_214,refute_21_204]) ).
cnf(refute_21_216,plain,
( op(e3,e2) != e3
| e3 = op(e3,e2) ),
inference(subst,[],[refute_21_6:[bind(X,$fot(op(e3,e2))),bind(Y,$fot(e3))]]) ).
cnf(refute_21_217,plain,
op(e3,e2) != e3,
inference(resolve,[$cnf( $equal(e3,op(e3,e2)) )],[refute_21_216,refute_21_215]) ).
cnf(refute_21_218,plain,
op(e3,e2) = e0,
inference(resolve,[$cnf( $equal(op(e3,e2),e3) )],[refute_21_203,refute_21_217]) ).
cnf(refute_21_219,plain,
( e0 != e0
| op(e3,e2) != e0
| e0 = op(e3,e2) ),
introduced(tautology,[equality,[$cnf( ~ $equal(e0,op(e3,e2)) ),[1],$fot(e0)]]) ).
cnf(refute_21_220,plain,
( e0 != e0
| e0 = op(e3,e2) ),
inference(resolve,[$cnf( $equal(op(e3,e2),e0) )],[refute_21_218,refute_21_219]) ).
cnf(refute_21_221,plain,
( e0 != e0
| op(e1,e2) = e3 ),
inference(resolve,[$cnf( $equal(e0,op(e3,e2)) )],[refute_21_220,refute_21_183]) ).
cnf(refute_21_222,plain,
e0 = e0,
introduced(tautology,[refl,[$fot(e0)]]) ).
cnf(refute_21_223,plain,
op(e1,e2) = e3,
inference(resolve,[$cnf( $equal(e0,e0) )],[refute_21_222,refute_21_221]) ).
cnf(refute_21_224,plain,
op(op(e4,e1),e1) = e4,
inference(canonicalize,[],[normalize_21_38]) ).
cnf(refute_21_225,plain,
op(e1,e1) != op(e3,e1),
inference(canonicalize,[],[normalize_21_39]) ).
cnf(refute_21_226,plain,
( op(e1,e1) = e0
| op(e1,e1) = e1
| op(e1,e1) = e2
| op(e1,e1) = e3
| op(e1,e1) = e4 ),
inference(canonicalize,[],[normalize_21_40]) ).
cnf(refute_21_227,plain,
op(e1,e1) != op(e2,e1),
inference(canonicalize,[],[normalize_21_41]) ).
cnf(refute_21_228,plain,
( op(e2,e1) = e0
| op(e2,e1) = e1
| op(e2,e1) = e2
| op(e2,e1) = e3
| op(e2,e1) = e4 ),
inference(canonicalize,[],[normalize_21_42]) ).
cnf(refute_21_229,plain,
op(e2,e1) != op(e2,e2),
inference(canonicalize,[],[normalize_21_43]) ).
cnf(refute_21_230,plain,
( op(e2,e1) != e4
| op(e2,e2) != e4
| op(e2,e1) = op(e2,e2) ),
introduced(tautology,[equality,[$cnf( ~ $equal(op(e2,e1),op(e2,e2)) ),[1],$fot(e4)]]) ).
cnf(refute_21_231,plain,
( op(e2,e1) != e4
| op(e2,e1) = op(e2,e2) ),
inference(resolve,[$cnf( $equal(op(e2,e2),e4) )],[refute_21_8,refute_21_230]) ).
cnf(refute_21_232,plain,
op(e2,e1) != e4,
inference(resolve,[$cnf( $equal(op(e2,e1),op(e2,e2)) )],[refute_21_231,refute_21_229]) ).
cnf(refute_21_233,plain,
( op(e2,e1) = e0
| op(e2,e1) = e1
| op(e2,e1) = e2
| op(e2,e1) = e3 ),
inference(resolve,[$cnf( $equal(op(e2,e1),e4) )],[refute_21_228,refute_21_232]) ).
cnf(refute_21_234,plain,
op(e0,e1) != op(e2,e1),
inference(canonicalize,[],[normalize_21_44]) ).
cnf(refute_21_235,plain,
op(unit,e1) = e1,
inference(canonicalize,[],[normalize_21_45]) ).
cnf(refute_21_236,plain,
op(unit,e1) = op(unit,e1),
introduced(tautology,[refl,[$fot(op(unit,e1))]]) ).
cnf(refute_21_237,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_238,plain,
( unit != e0
| op(unit,e1) = op(e0,e1) ),
inference(resolve,[$cnf( $equal(op(unit,e1),op(unit,e1)) )],[refute_21_236,refute_21_237]) ).
cnf(refute_21_239,plain,
op(unit,e1) = op(e0,e1),
inference(resolve,[$cnf( $equal(unit,e0) )],[refute_21_131,refute_21_238]) ).
cnf(refute_21_240,plain,
( op(unit,e1) != e1
| op(unit,e1) != op(e0,e1)
| op(e0,e1) = e1 ),
introduced(tautology,[equality,[$cnf( $equal(op(unit,e1),e1) ),[0],$fot(op(e0,e1))]]) ).
cnf(refute_21_241,plain,
( op(unit,e1) != e1
| op(e0,e1) = e1 ),
inference(resolve,[$cnf( $equal(op(unit,e1),op(e0,e1)) )],[refute_21_239,refute_21_240]) ).
cnf(refute_21_242,plain,
op(e0,e1) = e1,
inference(resolve,[$cnf( $equal(op(unit,e1),e1) )],[refute_21_235,refute_21_241]) ).
cnf(refute_21_243,plain,
( e1 != op(e2,e1)
| op(e0,e1) != e1
| op(e0,e1) = op(e2,e1) ),
introduced(tautology,[equality,[$cnf( $equal(op(e0,e1),e1) ),[1],$fot(op(e2,e1))]]) ).
cnf(refute_21_244,plain,
( e1 != op(e2,e1)
| op(e0,e1) = op(e2,e1) ),
inference(resolve,[$cnf( $equal(op(e0,e1),e1) )],[refute_21_242,refute_21_243]) ).
cnf(refute_21_245,plain,
e1 != op(e2,e1),
inference(resolve,[$cnf( $equal(op(e0,e1),op(e2,e1)) )],[refute_21_244,refute_21_234]) ).
cnf(refute_21_246,plain,
( op(e2,e1) != e1
| e1 = op(e2,e1) ),
inference(subst,[],[refute_21_6:[bind(X,$fot(op(e2,e1))),bind(Y,$fot(e1))]]) ).
cnf(refute_21_247,plain,
op(e2,e1) != e1,
inference(resolve,[$cnf( $equal(e1,op(e2,e1)) )],[refute_21_246,refute_21_245]) ).
cnf(refute_21_248,plain,
( op(e2,e1) = e0
| op(e2,e1) = e2
| op(e2,e1) = e3 ),
inference(resolve,[$cnf( $equal(op(e2,e1),e1) )],[refute_21_233,refute_21_247]) ).
cnf(refute_21_249,plain,
op(e2,e0) != op(e2,e1),
inference(canonicalize,[],[normalize_21_46]) ).
cnf(refute_21_250,plain,
op(e2,unit) = e2,
inference(canonicalize,[],[normalize_21_47]) ).
cnf(refute_21_251,plain,
op(e2,unit) = op(e2,unit),
introduced(tautology,[refl,[$fot(op(e2,unit))]]) ).
cnf(refute_21_252,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_21_253,plain,
( unit != e0
| op(e2,unit) = op(e2,e0) ),
inference(resolve,[$cnf( $equal(op(e2,unit),op(e2,unit)) )],[refute_21_251,refute_21_252]) ).
cnf(refute_21_254,plain,
op(e2,unit) = op(e2,e0),
inference(resolve,[$cnf( $equal(unit,e0) )],[refute_21_131,refute_21_253]) ).
cnf(refute_21_255,plain,
( op(e2,unit) != e2
| op(e2,unit) != op(e2,e0)
| op(e2,e0) = e2 ),
introduced(tautology,[equality,[$cnf( $equal(op(e2,unit),e2) ),[0],$fot(op(e2,e0))]]) ).
cnf(refute_21_256,plain,
( op(e2,unit) != e2
| op(e2,e0) = e2 ),
inference(resolve,[$cnf( $equal(op(e2,unit),op(e2,e0)) )],[refute_21_254,refute_21_255]) ).
cnf(refute_21_257,plain,
op(e2,e0) = e2,
inference(resolve,[$cnf( $equal(op(e2,unit),e2) )],[refute_21_250,refute_21_256]) ).
cnf(refute_21_258,plain,
( e2 != op(e2,e1)
| op(e2,e0) != e2
| op(e2,e0) = op(e2,e1) ),
introduced(tautology,[equality,[$cnf( $equal(op(e2,e0),e2) ),[1],$fot(op(e2,e1))]]) ).
cnf(refute_21_259,plain,
( e2 != op(e2,e1)
| op(e2,e0) = op(e2,e1) ),
inference(resolve,[$cnf( $equal(op(e2,e0),e2) )],[refute_21_257,refute_21_258]) ).
cnf(refute_21_260,plain,
e2 != op(e2,e1),
inference(resolve,[$cnf( $equal(op(e2,e0),op(e2,e1)) )],[refute_21_259,refute_21_249]) ).
cnf(refute_21_261,plain,
( op(e2,e1) != e2
| e2 = op(e2,e1) ),
inference(subst,[],[refute_21_6:[bind(X,$fot(op(e2,e1))),bind(Y,$fot(e2))]]) ).
cnf(refute_21_262,plain,
op(e2,e1) != e2,
inference(resolve,[$cnf( $equal(e2,op(e2,e1)) )],[refute_21_261,refute_21_260]) ).
cnf(refute_21_263,plain,
( op(e2,e1) = e0
| op(e2,e1) = e3 ),
inference(resolve,[$cnf( $equal(op(e2,e1),e2) )],[refute_21_248,refute_21_262]) ).
cnf(refute_21_264,plain,
op(e2,e1) != op(e2,e4),
inference(canonicalize,[],[normalize_21_48]) ).
cnf(refute_21_265,plain,
( op(e2,e1) != e3
| op(e2,e4) != e3
| op(e2,e1) = op(e2,e4) ),
introduced(tautology,[equality,[$cnf( ~ $equal(op(e2,e1),op(e2,e4)) ),[1],$fot(e3)]]) ).
cnf(refute_21_266,plain,
( op(e2,e1) != e3
| op(e2,e1) = op(e2,e4) ),
inference(resolve,[$cnf( $equal(op(e2,e4),e3) )],[refute_21_65,refute_21_265]) ).
cnf(refute_21_267,plain,
op(e2,e1) != e3,
inference(resolve,[$cnf( $equal(op(e2,e1),op(e2,e4)) )],[refute_21_266,refute_21_264]) ).
cnf(refute_21_268,plain,
op(e2,e1) = e0,
inference(resolve,[$cnf( $equal(op(e2,e1),e3) )],[refute_21_263,refute_21_267]) ).
cnf(refute_21_269,plain,
( op(e1,e1) != e0
| op(e2,e1) != e0
| op(e1,e1) = op(e2,e1) ),
introduced(tautology,[equality,[$cnf( ~ $equal(op(e1,e1),op(e2,e1)) ),[1],$fot(e0)]]) ).
cnf(refute_21_270,plain,
( op(e1,e1) != e0
| op(e1,e1) = op(e2,e1) ),
inference(resolve,[$cnf( $equal(op(e2,e1),e0) )],[refute_21_268,refute_21_269]) ).
cnf(refute_21_271,plain,
op(e1,e1) != e0,
inference(resolve,[$cnf( $equal(op(e1,e1),op(e2,e1)) )],[refute_21_270,refute_21_227]) ).
cnf(refute_21_272,plain,
( op(e1,e1) = e1
| op(e1,e1) = e2
| op(e1,e1) = e3
| op(e1,e1) = e4 ),
inference(resolve,[$cnf( $equal(op(e1,e1),e0) )],[refute_21_226,refute_21_271]) ).
cnf(refute_21_273,plain,
op(e0,e1) != op(e1,e1),
inference(canonicalize,[],[normalize_21_49]) ).
cnf(refute_21_274,plain,
( e1 != op(e1,e1)
| op(e0,e1) != e1
| op(e0,e1) = op(e1,e1) ),
introduced(tautology,[equality,[$cnf( $equal(op(e0,e1),e1) ),[1],$fot(op(e1,e1))]]) ).
cnf(refute_21_275,plain,
( e1 != op(e1,e1)
| op(e0,e1) = op(e1,e1) ),
inference(resolve,[$cnf( $equal(op(e0,e1),e1) )],[refute_21_242,refute_21_274]) ).
cnf(refute_21_276,plain,
e1 != op(e1,e1),
inference(resolve,[$cnf( $equal(op(e0,e1),op(e1,e1)) )],[refute_21_275,refute_21_273]) ).
cnf(refute_21_277,plain,
( op(e1,e1) != e1
| e1 = op(e1,e1) ),
inference(subst,[],[refute_21_6:[bind(X,$fot(op(e1,e1))),bind(Y,$fot(e1))]]) ).
cnf(refute_21_278,plain,
op(e1,e1) != e1,
inference(resolve,[$cnf( $equal(e1,op(e1,e1)) )],[refute_21_277,refute_21_276]) ).
cnf(refute_21_279,plain,
( op(e1,e1) = e2
| op(e1,e1) = e3
| op(e1,e1) = e4 ),
inference(resolve,[$cnf( $equal(op(e1,e1),e1) )],[refute_21_272,refute_21_278]) ).
cnf(refute_21_280,plain,
op(e1,e1) != op(e1,e2),
inference(canonicalize,[],[normalize_21_50]) ).
cnf(refute_21_281,plain,
( op(e1,e1) != e3
| op(e1,e2) != e3
| op(e1,e1) = op(e1,e2) ),
introduced(tautology,[equality,[$cnf( ~ $equal(op(e1,e1),op(e1,e2)) ),[1],$fot(e3)]]) ).
cnf(refute_21_282,plain,
( op(e1,e1) != e3
| op(e1,e1) = op(e1,e2) ),
inference(resolve,[$cnf( $equal(op(e1,e2),e3) )],[refute_21_223,refute_21_281]) ).
cnf(refute_21_283,plain,
op(e1,e1) != e3,
inference(resolve,[$cnf( $equal(op(e1,e1),op(e1,e2)) )],[refute_21_282,refute_21_280]) ).
cnf(refute_21_284,plain,
( op(e1,e1) = e2
| op(e1,e1) = e4 ),
inference(resolve,[$cnf( $equal(op(e1,e1),e3) )],[refute_21_279,refute_21_283]) ).
cnf(refute_21_285,plain,
( e4 != op(e3,e1)
| op(e1,e1) != e4
| op(e1,e1) = op(e3,e1) ),
introduced(tautology,[equality,[$cnf( $equal(op(e1,e1),e4) ),[1],$fot(op(e3,e1))]]) ).
cnf(refute_21_286,plain,
( e4 != op(e3,e1)
| op(e1,e1) = e2
| op(e1,e1) = op(e3,e1) ),
inference(resolve,[$cnf( $equal(op(e1,e1),e4) )],[refute_21_284,refute_21_285]) ).
cnf(refute_21_287,plain,
( e4 != op(e3,e1)
| op(e1,e1) = e2 ),
inference(resolve,[$cnf( $equal(op(e1,e1),op(e3,e1)) )],[refute_21_286,refute_21_225]) ).
cnf(refute_21_288,plain,
( op(e3,e0) = e4
| op(e3,e1) = e4
| op(e3,e2) = e4
| op(e3,e3) = e4
| op(e3,e4) = e4 ),
inference(canonicalize,[],[normalize_21_51]) ).
cnf(refute_21_289,plain,
( op(e3,e0) = e4
| op(e3,e1) = e4
| op(e3,e3) = e4
| op(e3,e4) = e4 ),
inference(resolve,[$cnf( $equal(op(e3,e2),e4) )],[refute_21_288,refute_21_190]) ).
cnf(refute_21_290,plain,
( op(e3,e0) != e3
| op(e3,e0) != e4
| e3 = e4 ),
introduced(tautology,[equality,[$cnf( $equal(op(e3,e0),e4) ),[0],$fot(e3)]]) ).
cnf(refute_21_291,plain,
( op(e3,e0) != e4
| e3 = e4 ),
inference(resolve,[$cnf( $equal(op(e3,e0),e3) )],[refute_21_212,refute_21_290]) ).
cnf(refute_21_292,plain,
( e3 = e4
| op(e3,e1) = e4
| op(e3,e3) = e4
| op(e3,e4) = e4 ),
inference(resolve,[$cnf( $equal(op(e3,e0),e4) )],[refute_21_289,refute_21_291]) ).
cnf(refute_21_293,plain,
( e1 = e4
| e3 = e4
| op(e3,e1) = e4
| op(e3,e3) = e4 ),
inference(resolve,[$cnf( $equal(op(e3,e4),e4) )],[refute_21_292,refute_21_82]) ).
cnf(refute_21_294,plain,
( e3 = e4
| op(e3,e1) = e4
| op(e3,e3) = e4 ),
inference(resolve,[$cnf( $equal(e1,e4) )],[refute_21_293,refute_21_89]) ).
cnf(refute_21_295,plain,
( op(e3,e1) = e4
| op(e3,e3) = e4 ),
inference(resolve,[$cnf( $equal(e3,e4) )],[refute_21_294,refute_21_102]) ).
cnf(refute_21_296,plain,
( op(e3,op(e1,e3)) = e1
| op(e3,op(e2,e3)) = e2
| op(e3,op(e4,e3)) = e4
| definitionFOFtoCNF_87 ),
inference(canonicalize,[],[normalize_21_56]) ).
cnf(refute_21_297,plain,
( op(e2,e3) = e0
| op(e2,e3) = e1
| op(e2,e3) = e2
| op(e2,e3) = e3
| op(e2,e3) = e4 ),
inference(canonicalize,[],[normalize_21_57]) ).
cnf(refute_21_298,plain,
op(e2,e2) != op(e2,e3),
inference(canonicalize,[],[normalize_21_58]) ).
cnf(refute_21_299,plain,
( e4 != op(e2,e3)
| op(e2,e2) != e4
| op(e2,e2) = op(e2,e3) ),
introduced(tautology,[equality,[$cnf( $equal(op(e2,e2),e4) ),[1],$fot(op(e2,e3))]]) ).
cnf(refute_21_300,plain,
( e4 != op(e2,e3)
| op(e2,e2) = op(e2,e3) ),
inference(resolve,[$cnf( $equal(op(e2,e2),e4) )],[refute_21_8,refute_21_299]) ).
cnf(refute_21_301,plain,
e4 != op(e2,e3),
inference(resolve,[$cnf( $equal(op(e2,e2),op(e2,e3)) )],[refute_21_300,refute_21_298]) ).
cnf(refute_21_302,plain,
( op(e2,e3) != e4
| e4 = op(e2,e3) ),
inference(subst,[],[refute_21_6:[bind(X,$fot(op(e2,e3))),bind(Y,$fot(e4))]]) ).
cnf(refute_21_303,plain,
op(e2,e3) != e4,
inference(resolve,[$cnf( $equal(e4,op(e2,e3)) )],[refute_21_302,refute_21_301]) ).
cnf(refute_21_304,plain,
( op(e2,e3) = e0
| op(e2,e3) = e1
| op(e2,e3) = e2
| op(e2,e3) = e3 ),
inference(resolve,[$cnf( $equal(op(e2,e3),e4) )],[refute_21_297,refute_21_303]) ).
cnf(refute_21_305,plain,
op(e2,e1) != op(e2,e3),
inference(canonicalize,[],[normalize_21_59]) ).
cnf(refute_21_306,plain,
( e0 != op(e2,e3)
| op(e2,e1) != e0
| op(e2,e1) = op(e2,e3) ),
introduced(tautology,[equality,[$cnf( $equal(op(e2,e1),e0) ),[1],$fot(op(e2,e3))]]) ).
cnf(refute_21_307,plain,
( e0 != op(e2,e3)
| op(e2,e1) = op(e2,e3) ),
inference(resolve,[$cnf( $equal(op(e2,e1),e0) )],[refute_21_268,refute_21_306]) ).
cnf(refute_21_308,plain,
e0 != op(e2,e3),
inference(resolve,[$cnf( $equal(op(e2,e1),op(e2,e3)) )],[refute_21_307,refute_21_305]) ).
cnf(refute_21_309,plain,
( op(e2,e3) != e0
| e0 = op(e2,e3) ),
inference(subst,[],[refute_21_6:[bind(X,$fot(op(e2,e3))),bind(Y,$fot(e0))]]) ).
cnf(refute_21_310,plain,
op(e2,e3) != e0,
inference(resolve,[$cnf( $equal(e0,op(e2,e3)) )],[refute_21_309,refute_21_308]) ).
cnf(refute_21_311,plain,
( op(e2,e3) = e1
| op(e2,e3) = e2
| op(e2,e3) = e3 ),
inference(resolve,[$cnf( $equal(op(e2,e3),e0) )],[refute_21_304,refute_21_310]) ).
cnf(refute_21_312,plain,
op(e2,e0) != op(e2,e3),
inference(canonicalize,[],[normalize_21_60]) ).
cnf(refute_21_313,plain,
( e2 != op(e2,e3)
| op(e2,e0) != e2
| op(e2,e0) = op(e2,e3) ),
introduced(tautology,[equality,[$cnf( $equal(op(e2,e0),e2) ),[1],$fot(op(e2,e3))]]) ).
cnf(refute_21_314,plain,
( e2 != op(e2,e3)
| op(e2,e0) = op(e2,e3) ),
inference(resolve,[$cnf( $equal(op(e2,e0),e2) )],[refute_21_257,refute_21_313]) ).
cnf(refute_21_315,plain,
e2 != op(e2,e3),
inference(resolve,[$cnf( $equal(op(e2,e0),op(e2,e3)) )],[refute_21_314,refute_21_312]) ).
cnf(refute_21_316,plain,
( op(e2,e3) != e2
| e2 = op(e2,e3) ),
inference(subst,[],[refute_21_6:[bind(X,$fot(op(e2,e3))),bind(Y,$fot(e2))]]) ).
cnf(refute_21_317,plain,
op(e2,e3) != e2,
inference(resolve,[$cnf( $equal(e2,op(e2,e3)) )],[refute_21_316,refute_21_315]) ).
cnf(refute_21_318,plain,
( op(e2,e3) = e1
| op(e2,e3) = e3 ),
inference(resolve,[$cnf( $equal(op(e2,e3),e2) )],[refute_21_311,refute_21_317]) ).
cnf(refute_21_319,plain,
op(e2,e3) != op(e2,e4),
inference(canonicalize,[],[normalize_21_61]) ).
cnf(refute_21_320,plain,
( op(e2,e3) != e3
| op(e2,e4) != e3
| op(e2,e3) = op(e2,e4) ),
introduced(tautology,[equality,[$cnf( ~ $equal(op(e2,e3),op(e2,e4)) ),[1],$fot(e3)]]) ).
cnf(refute_21_321,plain,
( op(e2,e3) != e3
| op(e2,e3) = op(e2,e4) ),
inference(resolve,[$cnf( $equal(op(e2,e4),e3) )],[refute_21_65,refute_21_320]) ).
cnf(refute_21_322,plain,
op(e2,e3) != e3,
inference(resolve,[$cnf( $equal(op(e2,e3),op(e2,e4)) )],[refute_21_321,refute_21_319]) ).
cnf(refute_21_323,plain,
op(e2,e3) = e1,
inference(resolve,[$cnf( $equal(op(e2,e3),e3) )],[refute_21_318,refute_21_322]) ).
cnf(refute_21_324,plain,
op(e3,op(e2,e3)) = op(e3,op(e2,e3)),
introduced(tautology,[refl,[$fot(op(e3,op(e2,e3)))]]) ).
cnf(refute_21_325,plain,
( op(e2,e3) != e1
| op(e3,op(e2,e3)) != op(e3,op(e2,e3))
| op(e3,op(e2,e3)) = op(e3,e1) ),
introduced(tautology,[equality,[$cnf( $equal(op(e3,op(e2,e3)),op(e3,op(e2,e3))) ),[1,1],$fot(e1)]]) ).
cnf(refute_21_326,plain,
( op(e2,e3) != e1
| op(e3,op(e2,e3)) = op(e3,e1) ),
inference(resolve,[$cnf( $equal(op(e3,op(e2,e3)),op(e3,op(e2,e3))) )],[refute_21_324,refute_21_325]) ).
cnf(refute_21_327,plain,
op(e3,op(e2,e3)) = op(e3,e1),
inference(resolve,[$cnf( $equal(op(e2,e3),e1) )],[refute_21_323,refute_21_326]) ).
cnf(refute_21_328,plain,
( op(e3,op(e2,e3)) != e2
| op(e3,op(e2,e3)) != op(e3,e1)
| op(e3,e1) = e2 ),
introduced(tautology,[equality,[$cnf( $equal(op(e3,op(e2,e3)),e2) ),[0],$fot(op(e3,e1))]]) ).
cnf(refute_21_329,plain,
( op(e3,op(e2,e3)) != e2
| op(e3,e1) = e2 ),
inference(resolve,[$cnf( $equal(op(e3,op(e2,e3)),op(e3,e1)) )],[refute_21_327,refute_21_328]) ).
cnf(refute_21_330,plain,
( op(e3,e1) = e2
| op(e3,op(e1,e3)) = e1
| op(e3,op(e4,e3)) = e4
| definitionFOFtoCNF_87 ),
inference(resolve,[$cnf( $equal(op(e3,op(e2,e3)),e2) )],[refute_21_296,refute_21_329]) ).
cnf(refute_21_331,plain,
( op(e0,op(e0,e3)) != e3
| ~ definitionFOFtoCNF_87 ),
inference(canonicalize,[],[normalize_21_63]) ).
cnf(refute_21_332,plain,
op(unit,e3) = e3,
inference(canonicalize,[],[normalize_21_64]) ).
cnf(refute_21_333,plain,
op(unit,e3) = op(unit,e3),
introduced(tautology,[refl,[$fot(op(unit,e3))]]) ).
cnf(refute_21_334,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_21_335,plain,
( unit != e0
| op(unit,e3) = op(e0,e3) ),
inference(resolve,[$cnf( $equal(op(unit,e3),op(unit,e3)) )],[refute_21_333,refute_21_334]) ).
cnf(refute_21_336,plain,
op(unit,e3) = op(e0,e3),
inference(resolve,[$cnf( $equal(unit,e0) )],[refute_21_131,refute_21_335]) ).
cnf(refute_21_337,plain,
( op(unit,e3) != e3
| op(unit,e3) != op(e0,e3)
| op(e0,e3) = e3 ),
introduced(tautology,[equality,[$cnf( $equal(op(unit,e3),e3) ),[0],$fot(op(e0,e3))]]) ).
cnf(refute_21_338,plain,
( op(unit,e3) != e3
| op(e0,e3) = e3 ),
inference(resolve,[$cnf( $equal(op(unit,e3),op(e0,e3)) )],[refute_21_336,refute_21_337]) ).
cnf(refute_21_339,plain,
op(e0,e3) = e3,
inference(resolve,[$cnf( $equal(op(unit,e3),e3) )],[refute_21_332,refute_21_338]) ).
cnf(refute_21_340,plain,
op(e0,op(e0,e3)) = op(e0,op(e0,e3)),
introduced(tautology,[refl,[$fot(op(e0,op(e0,e3)))]]) ).
cnf(refute_21_341,plain,
( op(e0,e3) != e3
| op(e0,op(e0,e3)) != op(e0,op(e0,e3))
| op(e0,op(e0,e3)) = op(e0,e3) ),
introduced(tautology,[equality,[$cnf( $equal(op(e0,op(e0,e3)),op(e0,op(e0,e3))) ),[1,1],$fot(e3)]]) ).
cnf(refute_21_342,plain,
( op(e0,e3) != e3
| op(e0,op(e0,e3)) = op(e0,e3) ),
inference(resolve,[$cnf( $equal(op(e0,op(e0,e3)),op(e0,op(e0,e3))) )],[refute_21_340,refute_21_341]) ).
cnf(refute_21_343,plain,
op(e0,op(e0,e3)) = op(e0,e3),
inference(resolve,[$cnf( $equal(op(e0,e3),e3) )],[refute_21_339,refute_21_342]) ).
cnf(refute_21_344,plain,
( op(e0,e3) != e3
| op(e0,op(e0,e3)) != op(e0,e3)
| op(e0,op(e0,e3)) = e3 ),
inference(subst,[],[refute_21_18:[bind(X,$fot(op(e0,op(e0,e3)))),bind(Y,$fot(op(e0,e3))),bind(Z,$fot(e3))]]) ).
cnf(refute_21_345,plain,
( op(e0,e3) != e3
| op(e0,op(e0,e3)) = e3 ),
inference(resolve,[$cnf( $equal(op(e0,op(e0,e3)),op(e0,e3)) )],[refute_21_343,refute_21_344]) ).
cnf(refute_21_346,plain,
op(e0,op(e0,e3)) = e3,
inference(resolve,[$cnf( $equal(op(e0,e3),e3) )],[refute_21_339,refute_21_345]) ).
cnf(refute_21_347,plain,
( e3 != e3
| op(e0,op(e0,e3)) != e3
| op(e0,op(e0,e3)) = e3 ),
introduced(tautology,[equality,[$cnf( $equal(op(e0,op(e0,e3)),e3) ),[0,1,1],$fot(e3)]]) ).
cnf(refute_21_348,plain,
( e3 != e3
| op(e0,op(e0,e3)) = e3 ),
inference(resolve,[$cnf( $equal(op(e0,op(e0,e3)),e3) )],[refute_21_346,refute_21_347]) ).
cnf(refute_21_349,plain,
( e3 != e3
| ~ definitionFOFtoCNF_87 ),
inference(resolve,[$cnf( $equal(op(e0,op(e0,e3)),e3) )],[refute_21_348,refute_21_331]) ).
cnf(refute_21_350,plain,
e3 = e3,
introduced(tautology,[refl,[$fot(e3)]]) ).
cnf(refute_21_351,plain,
~ definitionFOFtoCNF_87,
inference(resolve,[$cnf( $equal(e3,e3) )],[refute_21_350,refute_21_349]) ).
cnf(refute_21_352,plain,
( op(e3,e1) = e2
| op(e3,op(e1,e3)) = e1
| op(e3,op(e4,e3)) = e4 ),
inference(resolve,[$cnf( definitionFOFtoCNF_87 )],[refute_21_330,refute_21_351]) ).
cnf(refute_21_353,plain,
( op(e0,e3) = e2
| op(e1,e3) = e2
| op(e2,e3) = e2
| op(e3,e3) = e2
| op(e4,e3) = e2 ),
inference(canonicalize,[],[normalize_21_65]) ).
cnf(refute_21_354,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_21_355,plain,
( op(e0,e3) != e2
| e3 = e2 ),
inference(resolve,[$cnf( $equal(op(e0,e3),e3) )],[refute_21_339,refute_21_354]) ).
cnf(refute_21_356,plain,
( e3 = e2
| op(e1,e3) = e2
| op(e2,e3) = e2
| op(e3,e3) = e2
| op(e4,e3) = e2 ),
inference(resolve,[$cnf( $equal(op(e0,e3),e2) )],[refute_21_353,refute_21_355]) ).
cnf(refute_21_357,plain,
e2 != e3,
inference(canonicalize,[],[normalize_21_66]) ).
cnf(refute_21_358,plain,
( e3 != e2
| e2 = e3 ),
inference(subst,[],[refute_21_6:[bind(X,$fot(e3)),bind(Y,$fot(e2))]]) ).
cnf(refute_21_359,plain,
e3 != e2,
inference(resolve,[$cnf( $equal(e2,e3) )],[refute_21_358,refute_21_357]) ).
cnf(refute_21_360,plain,
( op(e1,e3) = e2
| op(e2,e3) = e2
| op(e3,e3) = e2
| op(e4,e3) = e2 ),
inference(resolve,[$cnf( $equal(e3,e2) )],[refute_21_356,refute_21_359]) ).
cnf(refute_21_361,plain,
( op(e1,e3) = e2
| op(e3,e3) = e2
| op(e4,e3) = e2 ),
inference(resolve,[$cnf( $equal(op(e2,e3),e2) )],[refute_21_360,refute_21_317]) ).
cnf(refute_21_362,plain,
( op(e3,op(e4,e3)) != e4
| op(e4,e3) != e2
| op(e3,e2) = e4 ),
introduced(tautology,[equality,[$cnf( $equal(op(e3,op(e4,e3)),e4) ),[0,1],$fot(e2)]]) ).
cnf(refute_21_363,plain,
( op(e3,op(e4,e3)) != e4
| op(e1,e3) = e2
| op(e3,e2) = e4
| op(e3,e3) = e2 ),
inference(resolve,[$cnf( $equal(op(e4,e3),e2) )],[refute_21_361,refute_21_362]) ).
cnf(refute_21_364,plain,
( op(e1,e3) = e2
| op(e3,e1) = e2
| op(e3,e2) = e4
| op(e3,e3) = e2
| op(e3,op(e1,e3)) = e1 ),
inference(resolve,[$cnf( $equal(op(e3,op(e4,e3)),e4) )],[refute_21_352,refute_21_363]) ).
cnf(refute_21_365,plain,
( op(e3,e2) != e0
| op(e3,e2) != e4
| e0 = e4 ),
introduced(tautology,[equality,[$cnf( $equal(op(e3,e2),e4) ),[0],$fot(e0)]]) ).
cnf(refute_21_366,plain,
( op(e3,e2) != e4
| e0 = e4 ),
inference(resolve,[$cnf( $equal(op(e3,e2),e0) )],[refute_21_218,refute_21_365]) ).
cnf(refute_21_367,plain,
( e0 = e4
| op(e1,e3) = e2
| op(e3,e1) = e2
| op(e3,e3) = e2
| op(e3,op(e1,e3)) = e1 ),
inference(resolve,[$cnf( $equal(op(e3,e2),e4) )],[refute_21_364,refute_21_366]) ).
cnf(refute_21_368,plain,
( op(e1,e3) = e2
| op(e3,e1) = e2
| op(e3,e3) = e2
| op(e3,op(e1,e3)) = e1 ),
inference(resolve,[$cnf( $equal(e0,e4) )],[refute_21_367,refute_21_87]) ).
cnf(refute_21_369,plain,
( op(e1,op(e1,e2)) != e2
| op(e2,op(e3,e2)) = e3
| op(e2,op(e4,e2)) = e4
| definitionFOFtoCNF_86 ),
inference(canonicalize,[],[normalize_21_71]) ).
cnf(refute_21_370,plain,
op(e1,op(e1,e2)) = op(e1,op(e1,e2)),
introduced(tautology,[refl,[$fot(op(e1,op(e1,e2)))]]) ).
cnf(refute_21_371,plain,
( op(e1,e2) != e3
| op(e1,op(e1,e2)) != op(e1,op(e1,e2))
| op(e1,op(e1,e2)) = op(e1,e3) ),
introduced(tautology,[equality,[$cnf( $equal(op(e1,op(e1,e2)),op(e1,op(e1,e2))) ),[1,1],$fot(e3)]]) ).
cnf(refute_21_372,plain,
( op(e1,e2) != e3
| op(e1,op(e1,e2)) = op(e1,e3) ),
inference(resolve,[$cnf( $equal(op(e1,op(e1,e2)),op(e1,op(e1,e2))) )],[refute_21_370,refute_21_371]) ).
cnf(refute_21_373,plain,
op(e1,op(e1,e2)) = op(e1,e3),
inference(resolve,[$cnf( $equal(op(e1,e2),e3) )],[refute_21_223,refute_21_372]) ).
cnf(refute_21_374,plain,
( op(e1,e3) != e2
| op(e1,op(e1,e2)) != op(e1,e3)
| op(e1,op(e1,e2)) = e2 ),
introduced(tautology,[equality,[$cnf( $equal(op(e1,op(e1,e2)),op(e1,e3)) ),[1],$fot(e2)]]) ).
cnf(refute_21_375,plain,
( op(e1,e3) != e2
| op(e1,op(e1,e2)) = e2 ),
inference(resolve,[$cnf( $equal(op(e1,op(e1,e2)),op(e1,e3)) )],[refute_21_373,refute_21_374]) ).
cnf(refute_21_376,plain,
( op(e1,e3) != e2
| op(e2,op(e3,e2)) = e3
| op(e2,op(e4,e2)) = e4
| definitionFOFtoCNF_86 ),
inference(resolve,[$cnf( $equal(op(e1,op(e1,e2)),e2) )],[refute_21_375,refute_21_369]) ).
cnf(refute_21_377,plain,
op(e2,op(e3,e2)) = op(e2,op(e3,e2)),
introduced(tautology,[refl,[$fot(op(e2,op(e3,e2)))]]) ).
cnf(refute_21_378,plain,
( op(e2,op(e3,e2)) != op(e2,op(e3,e2))
| op(e3,e2) != e0
| op(e2,op(e3,e2)) = op(e2,e0) ),
introduced(tautology,[equality,[$cnf( $equal(op(e2,op(e3,e2)),op(e2,op(e3,e2))) ),[1,1],$fot(e0)]]) ).
cnf(refute_21_379,plain,
( op(e3,e2) != e0
| op(e2,op(e3,e2)) = op(e2,e0) ),
inference(resolve,[$cnf( $equal(op(e2,op(e3,e2)),op(e2,op(e3,e2))) )],[refute_21_377,refute_21_378]) ).
cnf(refute_21_380,plain,
op(e2,op(e3,e2)) = op(e2,e0),
inference(resolve,[$cnf( $equal(op(e3,e2),e0) )],[refute_21_218,refute_21_379]) ).
cnf(refute_21_381,plain,
( op(e2,e0) != e2
| op(e2,op(e3,e2)) != op(e2,e0)
| op(e2,op(e3,e2)) = e2 ),
inference(subst,[],[refute_21_18:[bind(X,$fot(op(e2,op(e3,e2)))),bind(Y,$fot(op(e2,e0))),bind(Z,$fot(e2))]]) ).
cnf(refute_21_382,plain,
( op(e2,e0) != e2
| op(e2,op(e3,e2)) = e2 ),
inference(resolve,[$cnf( $equal(op(e2,op(e3,e2)),op(e2,e0)) )],[refute_21_380,refute_21_381]) ).
cnf(refute_21_383,plain,
op(e2,op(e3,e2)) = e2,
inference(resolve,[$cnf( $equal(op(e2,e0),e2) )],[refute_21_257,refute_21_382]) ).
cnf(refute_21_384,plain,
( op(e2,op(e3,e2)) != e2
| op(e2,op(e3,e2)) != e3
| e2 = e3 ),
introduced(tautology,[equality,[$cnf( $equal(op(e2,op(e3,e2)),e3) ),[0],$fot(e2)]]) ).
cnf(refute_21_385,plain,
( op(e2,op(e3,e2)) != e3
| e2 = e3 ),
inference(resolve,[$cnf( $equal(op(e2,op(e3,e2)),e2) )],[refute_21_383,refute_21_384]) ).
cnf(refute_21_386,plain,
( op(e1,e3) != e2
| e2 = e3
| op(e2,op(e4,e2)) = e4
| definitionFOFtoCNF_86 ),
inference(resolve,[$cnf( $equal(op(e2,op(e3,e2)),e3) )],[refute_21_376,refute_21_385]) ).
cnf(refute_21_387,plain,
( op(e4,e2) = e0
| op(e4,e2) = e1
| op(e4,e2) = e2
| op(e4,e2) = e3
| op(e4,e2) = e4 ),
inference(canonicalize,[],[normalize_21_72]) ).
cnf(refute_21_388,plain,
op(e2,e2) != op(e4,e2),
inference(canonicalize,[],[normalize_21_73]) ).
cnf(refute_21_389,plain,
( e4 != op(e4,e2)
| op(e2,e2) != e4
| op(e2,e2) = op(e4,e2) ),
introduced(tautology,[equality,[$cnf( $equal(op(e2,e2),e4) ),[1],$fot(op(e4,e2))]]) ).
cnf(refute_21_390,plain,
( e4 != op(e4,e2)
| op(e2,e2) = op(e4,e2) ),
inference(resolve,[$cnf( $equal(op(e2,e2),e4) )],[refute_21_8,refute_21_389]) ).
cnf(refute_21_391,plain,
e4 != op(e4,e2),
inference(resolve,[$cnf( $equal(op(e2,e2),op(e4,e2)) )],[refute_21_390,refute_21_388]) ).
cnf(refute_21_392,plain,
( op(e4,e2) != e4
| e4 = op(e4,e2) ),
inference(subst,[],[refute_21_6:[bind(X,$fot(op(e4,e2))),bind(Y,$fot(e4))]]) ).
cnf(refute_21_393,plain,
op(e4,e2) != e4,
inference(resolve,[$cnf( $equal(e4,op(e4,e2)) )],[refute_21_392,refute_21_391]) ).
cnf(refute_21_394,plain,
( op(e4,e2) = e0
| op(e4,e2) = e1
| op(e4,e2) = e2
| op(e4,e2) = e3 ),
inference(resolve,[$cnf( $equal(op(e4,e2),e4) )],[refute_21_387,refute_21_393]) ).
cnf(refute_21_395,plain,
op(e4,e2) != op(e4,e4),
inference(canonicalize,[],[normalize_21_74]) ).
cnf(refute_21_396,plain,
( op(e4,e2) != e0
| op(e4,e4) != e0
| op(e4,e2) = op(e4,e4) ),
introduced(tautology,[equality,[$cnf( ~ $equal(op(e4,e2),op(e4,e4)) ),[1],$fot(e0)]]) ).
cnf(refute_21_397,plain,
( op(e4,e2) != e0
| op(e4,e2) = op(e4,e4) ),
inference(resolve,[$cnf( $equal(op(e4,e4),e0) )],[refute_21_26,refute_21_396]) ).
cnf(refute_21_398,plain,
op(e4,e2) != e0,
inference(resolve,[$cnf( $equal(op(e4,e2),op(e4,e4)) )],[refute_21_397,refute_21_395]) ).
cnf(refute_21_399,plain,
( op(e4,e2) = e1
| op(e4,e2) = e2
| op(e4,e2) = e3 ),
inference(resolve,[$cnf( $equal(op(e4,e2),e0) )],[refute_21_394,refute_21_398]) ).
cnf(refute_21_400,plain,
op(e0,e2) != op(e4,e2),
inference(canonicalize,[],[normalize_21_75]) ).
cnf(refute_21_401,plain,
( e2 != op(e4,e2)
| op(e0,e2) != e2
| op(e0,e2) = op(e4,e2) ),
introduced(tautology,[equality,[$cnf( $equal(op(e0,e2),e2) ),[1],$fot(op(e4,e2))]]) ).
cnf(refute_21_402,plain,
( e2 != op(e4,e2)
| op(e0,e2) = op(e4,e2) ),
inference(resolve,[$cnf( $equal(op(e0,e2),e2) )],[refute_21_174,refute_21_401]) ).
cnf(refute_21_403,plain,
e2 != op(e4,e2),
inference(resolve,[$cnf( $equal(op(e0,e2),op(e4,e2)) )],[refute_21_402,refute_21_400]) ).
cnf(refute_21_404,plain,
( op(e4,e2) != e2
| e2 = op(e4,e2) ),
inference(subst,[],[refute_21_6:[bind(X,$fot(op(e4,e2))),bind(Y,$fot(e2))]]) ).
cnf(refute_21_405,plain,
op(e4,e2) != e2,
inference(resolve,[$cnf( $equal(e2,op(e4,e2)) )],[refute_21_404,refute_21_403]) ).
cnf(refute_21_406,plain,
( op(e4,e2) = e1
| op(e4,e2) = e3 ),
inference(resolve,[$cnf( $equal(op(e4,e2),e2) )],[refute_21_399,refute_21_405]) ).
cnf(refute_21_407,plain,
op(e1,e2) != op(e4,e2),
inference(canonicalize,[],[normalize_21_76]) ).
cnf(refute_21_408,plain,
( e3 != op(e4,e2)
| op(e1,e2) != e3
| op(e1,e2) = op(e4,e2) ),
introduced(tautology,[equality,[$cnf( $equal(op(e1,e2),e3) ),[1],$fot(op(e4,e2))]]) ).
cnf(refute_21_409,plain,
( e3 != op(e4,e2)
| op(e1,e2) = op(e4,e2) ),
inference(resolve,[$cnf( $equal(op(e1,e2),e3) )],[refute_21_223,refute_21_408]) ).
cnf(refute_21_410,plain,
e3 != op(e4,e2),
inference(resolve,[$cnf( $equal(op(e1,e2),op(e4,e2)) )],[refute_21_409,refute_21_407]) ).
cnf(refute_21_411,plain,
( op(e4,e2) != e3
| e3 = op(e4,e2) ),
inference(subst,[],[refute_21_6:[bind(X,$fot(op(e4,e2))),bind(Y,$fot(e3))]]) ).
cnf(refute_21_412,plain,
op(e4,e2) != e3,
inference(resolve,[$cnf( $equal(e3,op(e4,e2)) )],[refute_21_411,refute_21_410]) ).
cnf(refute_21_413,plain,
op(e4,e2) = e1,
inference(resolve,[$cnf( $equal(op(e4,e2),e3) )],[refute_21_406,refute_21_412]) ).
cnf(refute_21_414,plain,
op(e2,op(e4,e2)) = op(e2,op(e4,e2)),
introduced(tautology,[refl,[$fot(op(e2,op(e4,e2)))]]) ).
cnf(refute_21_415,plain,
( op(e2,op(e4,e2)) != op(e2,op(e4,e2))
| op(e4,e2) != e1
| op(e2,op(e4,e2)) = op(e2,e1) ),
introduced(tautology,[equality,[$cnf( $equal(op(e2,op(e4,e2)),op(e2,op(e4,e2))) ),[1,1],$fot(e1)]]) ).
cnf(refute_21_416,plain,
( op(e4,e2) != e1
| op(e2,op(e4,e2)) = op(e2,e1) ),
inference(resolve,[$cnf( $equal(op(e2,op(e4,e2)),op(e2,op(e4,e2))) )],[refute_21_414,refute_21_415]) ).
cnf(refute_21_417,plain,
op(e2,op(e4,e2)) = op(e2,e1),
inference(resolve,[$cnf( $equal(op(e4,e2),e1) )],[refute_21_413,refute_21_416]) ).
cnf(refute_21_418,plain,
( op(e2,e1) != e0
| op(e2,op(e4,e2)) != op(e2,e1)
| op(e2,op(e4,e2)) = e0 ),
inference(subst,[],[refute_21_18:[bind(X,$fot(op(e2,op(e4,e2)))),bind(Y,$fot(op(e2,e1))),bind(Z,$fot(e0))]]) ).
cnf(refute_21_419,plain,
( op(e2,e1) != e0
| op(e2,op(e4,e2)) = e0 ),
inference(resolve,[$cnf( $equal(op(e2,op(e4,e2)),op(e2,e1)) )],[refute_21_417,refute_21_418]) ).
cnf(refute_21_420,plain,
op(e2,op(e4,e2)) = e0,
inference(resolve,[$cnf( $equal(op(e2,e1),e0) )],[refute_21_268,refute_21_419]) ).
cnf(refute_21_421,plain,
( op(e2,op(e4,e2)) != e0
| op(e2,op(e4,e2)) != e4
| e0 = e4 ),
introduced(tautology,[equality,[$cnf( $equal(op(e2,op(e4,e2)),e4) ),[0],$fot(e0)]]) ).
cnf(refute_21_422,plain,
( op(e2,op(e4,e2)) != e4
| e0 = e4 ),
inference(resolve,[$cnf( $equal(op(e2,op(e4,e2)),e0) )],[refute_21_420,refute_21_421]) ).
cnf(refute_21_423,plain,
( op(e1,e3) != e2
| e0 = e4
| e2 = e3
| definitionFOFtoCNF_86 ),
inference(resolve,[$cnf( $equal(op(e2,op(e4,e2)),e4) )],[refute_21_386,refute_21_422]) ).
cnf(refute_21_424,plain,
( op(e1,e3) != e2
| e2 = e3
| definitionFOFtoCNF_86 ),
inference(resolve,[$cnf( $equal(e0,e4) )],[refute_21_423,refute_21_87]) ).
cnf(refute_21_425,plain,
( op(e1,e3) != e2
| definitionFOFtoCNF_86 ),
inference(resolve,[$cnf( $equal(e2,e3) )],[refute_21_424,refute_21_357]) ).
cnf(refute_21_426,plain,
( op(e0,op(e0,e2)) != e2
| ~ definitionFOFtoCNF_86 ),
inference(canonicalize,[],[normalize_21_78]) ).
cnf(refute_21_427,plain,
op(e0,op(e0,e2)) = op(e0,op(e0,e2)),
introduced(tautology,[refl,[$fot(op(e0,op(e0,e2)))]]) ).
cnf(refute_21_428,plain,
( op(e0,e2) != e2
| op(e0,op(e0,e2)) != op(e0,op(e0,e2))
| op(e0,op(e0,e2)) = op(e0,e2) ),
introduced(tautology,[equality,[$cnf( $equal(op(e0,op(e0,e2)),op(e0,op(e0,e2))) ),[1,1],$fot(e2)]]) ).
cnf(refute_21_429,plain,
( op(e0,e2) != e2
| op(e0,op(e0,e2)) = op(e0,e2) ),
inference(resolve,[$cnf( $equal(op(e0,op(e0,e2)),op(e0,op(e0,e2))) )],[refute_21_427,refute_21_428]) ).
cnf(refute_21_430,plain,
op(e0,op(e0,e2)) = op(e0,e2),
inference(resolve,[$cnf( $equal(op(e0,e2),e2) )],[refute_21_174,refute_21_429]) ).
cnf(refute_21_431,plain,
( op(e0,e2) != e2
| op(e0,op(e0,e2)) != op(e0,e2)
| op(e0,op(e0,e2)) = e2 ),
inference(subst,[],[refute_21_18:[bind(X,$fot(op(e0,op(e0,e2)))),bind(Y,$fot(op(e0,e2))),bind(Z,$fot(e2))]]) ).
cnf(refute_21_432,plain,
( op(e0,e2) != e2
| op(e0,op(e0,e2)) = e2 ),
inference(resolve,[$cnf( $equal(op(e0,op(e0,e2)),op(e0,e2)) )],[refute_21_430,refute_21_431]) ).
cnf(refute_21_433,plain,
op(e0,op(e0,e2)) = e2,
inference(resolve,[$cnf( $equal(op(e0,e2),e2) )],[refute_21_174,refute_21_432]) ).
cnf(refute_21_434,plain,
( e2 != e2
| op(e0,op(e0,e2)) != e2
| op(e0,op(e0,e2)) = e2 ),
introduced(tautology,[equality,[$cnf( $equal(op(e0,op(e0,e2)),e2) ),[0,1,1],$fot(e2)]]) ).
cnf(refute_21_435,plain,
( e2 != e2
| op(e0,op(e0,e2)) = e2 ),
inference(resolve,[$cnf( $equal(op(e0,op(e0,e2)),e2) )],[refute_21_433,refute_21_434]) ).
cnf(refute_21_436,plain,
( e2 != e2
| ~ definitionFOFtoCNF_86 ),
inference(resolve,[$cnf( $equal(op(e0,op(e0,e2)),e2) )],[refute_21_435,refute_21_426]) ).
cnf(refute_21_437,plain,
e2 = e2,
introduced(tautology,[refl,[$fot(e2)]]) ).
cnf(refute_21_438,plain,
~ definitionFOFtoCNF_86,
inference(resolve,[$cnf( $equal(e2,e2) )],[refute_21_437,refute_21_436]) ).
cnf(refute_21_439,plain,
op(e1,e3) != e2,
inference(resolve,[$cnf( definitionFOFtoCNF_86 )],[refute_21_425,refute_21_438]) ).
cnf(refute_21_440,plain,
( op(e3,e1) = e2
| op(e3,e3) = e2
| op(e3,op(e1,e3)) = e1 ),
inference(resolve,[$cnf( $equal(op(e1,e3),e2) )],[refute_21_368,refute_21_439]) ).
cnf(refute_21_441,plain,
op(e1,e1) != op(e1,e3),
inference(canonicalize,[],[normalize_21_79]) ).
cnf(refute_21_442,plain,
( e4 != op(e1,e3)
| op(e1,e1) != e4
| op(e1,e1) = op(e1,e3) ),
introduced(tautology,[equality,[$cnf( $equal(op(e1,e1),e4) ),[1],$fot(op(e1,e3))]]) ).
cnf(refute_21_443,plain,
( e4 != op(e1,e3)
| op(e1,e1) = e2
| op(e1,e1) = op(e1,e3) ),
inference(resolve,[$cnf( $equal(op(e1,e1),e4) )],[refute_21_284,refute_21_442]) ).
cnf(refute_21_444,plain,
( e4 != op(e1,e3)
| op(e1,e1) = e2 ),
inference(resolve,[$cnf( $equal(op(e1,e1),op(e1,e3)) )],[refute_21_443,refute_21_441]) ).
cnf(refute_21_445,plain,
( op(e1,e3) = e0
| op(e1,e3) = e1
| op(e1,e3) = e2
| op(e1,e3) = e3
| op(e1,e3) = e4 ),
inference(canonicalize,[],[normalize_21_80]) ).
cnf(refute_21_446,plain,
op(e1,e0) != op(e1,e3),
inference(canonicalize,[],[normalize_21_81]) ).
cnf(refute_21_447,plain,
( e1 != op(e1,e3)
| op(e1,e0) != e1
| op(e1,e0) = op(e1,e3) ),
introduced(tautology,[equality,[$cnf( $equal(op(e1,e0),e1) ),[1],$fot(op(e1,e3))]]) ).
cnf(refute_21_448,plain,
( e1 != op(e1,e3)
| op(e1,e0) = op(e1,e3) ),
inference(resolve,[$cnf( $equal(op(e1,e0),e1) )],[refute_21_159,refute_21_447]) ).
cnf(refute_21_449,plain,
e1 != op(e1,e3),
inference(resolve,[$cnf( $equal(op(e1,e0),op(e1,e3)) )],[refute_21_448,refute_21_446]) ).
cnf(refute_21_450,plain,
( op(e1,e3) != e1
| e1 = op(e1,e3) ),
inference(subst,[],[refute_21_6:[bind(X,$fot(op(e1,e3))),bind(Y,$fot(e1))]]) ).
cnf(refute_21_451,plain,
op(e1,e3) != e1,
inference(resolve,[$cnf( $equal(e1,op(e1,e3)) )],[refute_21_450,refute_21_449]) ).
cnf(refute_21_452,plain,
( op(e1,e3) = e0
| op(e1,e3) = e2
| op(e1,e3) = e3
| op(e1,e3) = e4 ),
inference(resolve,[$cnf( $equal(op(e1,e3),e1) )],[refute_21_445,refute_21_451]) ).
cnf(refute_21_453,plain,
( op(e1,e3) = e0
| op(e1,e3) = e3
| op(e1,e3) = e4 ),
inference(resolve,[$cnf( $equal(op(e1,e3),e2) )],[refute_21_452,refute_21_439]) ).
cnf(refute_21_454,plain,
op(e0,e3) != op(e1,e3),
inference(canonicalize,[],[normalize_21_82]) ).
cnf(refute_21_455,plain,
( e3 != op(e1,e3)
| op(e0,e3) != e3
| op(e0,e3) = op(e1,e3) ),
introduced(tautology,[equality,[$cnf( $equal(op(e0,e3),e3) ),[1],$fot(op(e1,e3))]]) ).
cnf(refute_21_456,plain,
( e3 != op(e1,e3)
| op(e0,e3) = op(e1,e3) ),
inference(resolve,[$cnf( $equal(op(e0,e3),e3) )],[refute_21_339,refute_21_455]) ).
cnf(refute_21_457,plain,
e3 != op(e1,e3),
inference(resolve,[$cnf( $equal(op(e0,e3),op(e1,e3)) )],[refute_21_456,refute_21_454]) ).
cnf(refute_21_458,plain,
( op(e1,e3) != e3
| e3 = op(e1,e3) ),
inference(subst,[],[refute_21_6:[bind(X,$fot(op(e1,e3))),bind(Y,$fot(e3))]]) ).
cnf(refute_21_459,plain,
op(e1,e3) != e3,
inference(resolve,[$cnf( $equal(e3,op(e1,e3)) )],[refute_21_458,refute_21_457]) ).
cnf(refute_21_460,plain,
( op(e1,e3) = e0
| op(e1,e3) = e4 ),
inference(resolve,[$cnf( $equal(op(e1,e3),e3) )],[refute_21_453,refute_21_459]) ).
cnf(refute_21_461,plain,
( e4 != e4
| op(e1,e3) != e4
| e4 = op(e1,e3) ),
introduced(tautology,[equality,[$cnf( ~ $equal(e4,op(e1,e3)) ),[1],$fot(e4)]]) ).
cnf(refute_21_462,plain,
( e4 != e4
| e4 = op(e1,e3)
| op(e1,e3) = e0 ),
inference(resolve,[$cnf( $equal(op(e1,e3),e4) )],[refute_21_460,refute_21_461]) ).
cnf(refute_21_463,plain,
( e4 != e4
| op(e1,e1) = e2
| op(e1,e3) = e0 ),
inference(resolve,[$cnf( $equal(e4,op(e1,e3)) )],[refute_21_462,refute_21_444]) ).
cnf(refute_21_464,plain,
( op(e1,e1) = e2
| op(e1,e3) = e0 ),
inference(resolve,[$cnf( $equal(e4,e4) )],[refute_21_120,refute_21_463]) ).
cnf(refute_21_465,plain,
( op(e1,e3) != e0
| op(e3,op(e1,e3)) != e1
| op(e3,e0) = e1 ),
introduced(tautology,[equality,[$cnf( $equal(op(e3,op(e1,e3)),e1) ),[0,1],$fot(e0)]]) ).
cnf(refute_21_466,plain,
( op(e3,op(e1,e3)) != e1
| op(e1,e1) = e2
| op(e3,e0) = e1 ),
inference(resolve,[$cnf( $equal(op(e1,e3),e0) )],[refute_21_464,refute_21_465]) ).
cnf(refute_21_467,plain,
( op(e1,e1) = e2
| op(e3,e0) = e1
| op(e3,e1) = e2
| op(e3,e3) = e2 ),
inference(resolve,[$cnf( $equal(op(e3,op(e1,e3)),e1) )],[refute_21_440,refute_21_466]) ).
cnf(refute_21_468,plain,
( op(e3,e0) != e1
| op(e3,e0) != e3
| e3 = e1 ),
introduced(tautology,[equality,[$cnf( $equal(op(e3,e0),e1) ),[0],$fot(e3)]]) ).
cnf(refute_21_469,plain,
( op(e3,e0) != e1
| e3 = e1 ),
inference(resolve,[$cnf( $equal(op(e3,e0),e3) )],[refute_21_212,refute_21_468]) ).
cnf(refute_21_470,plain,
( e3 = e1
| op(e1,e1) = e2
| op(e3,e1) = e2
| op(e3,e3) = e2 ),
inference(resolve,[$cnf( $equal(op(e3,e0),e1) )],[refute_21_467,refute_21_469]) ).
cnf(refute_21_471,plain,
e1 != e3,
inference(canonicalize,[],[normalize_21_83]) ).
cnf(refute_21_472,plain,
( e3 != e1
| e1 = e3 ),
inference(subst,[],[refute_21_6:[bind(X,$fot(e3)),bind(Y,$fot(e1))]]) ).
cnf(refute_21_473,plain,
e3 != e1,
inference(resolve,[$cnf( $equal(e1,e3) )],[refute_21_472,refute_21_471]) ).
cnf(refute_21_474,plain,
( op(e1,e1) = e2
| op(e3,e1) = e2
| op(e3,e3) = e2 ),
inference(resolve,[$cnf( $equal(e3,e1) )],[refute_21_470,refute_21_473]) ).
cnf(refute_21_475,plain,
( op(e3,e3) != e2
| op(e3,e3) != e4
| e2 = e4 ),
introduced(tautology,[equality,[$cnf( $equal(op(e3,e3),e4) ),[0],$fot(e2)]]) ).
cnf(refute_21_476,plain,
( op(e3,e3) != e4
| e2 = e4
| op(e1,e1) = e2
| op(e3,e1) = e2 ),
inference(resolve,[$cnf( $equal(op(e3,e3),e2) )],[refute_21_474,refute_21_475]) ).
cnf(refute_21_477,plain,
( e2 = e4
| op(e1,e1) = e2
| op(e3,e1) = e2
| op(e3,e1) = e4 ),
inference(resolve,[$cnf( $equal(op(e3,e3),e4) )],[refute_21_295,refute_21_476]) ).
cnf(refute_21_478,plain,
e2 != e4,
inference(canonicalize,[],[normalize_21_84]) ).
cnf(refute_21_479,plain,
( op(e1,e1) = e2
| op(e3,e1) = e2
| op(e3,e1) = e4 ),
inference(resolve,[$cnf( $equal(e2,e4) )],[refute_21_477,refute_21_478]) ).
cnf(refute_21_480,plain,
( e4 != e4
| op(e3,e1) != e4
| e4 = op(e3,e1) ),
introduced(tautology,[equality,[$cnf( ~ $equal(e4,op(e3,e1)) ),[1],$fot(e4)]]) ).
cnf(refute_21_481,plain,
( e4 != e4
| e4 = op(e3,e1)
| op(e1,e1) = e2
| op(e3,e1) = e2 ),
inference(resolve,[$cnf( $equal(op(e3,e1),e4) )],[refute_21_479,refute_21_480]) ).
cnf(refute_21_482,plain,
( e4 != e4
| op(e1,e1) = e2
| op(e3,e1) = e2 ),
inference(resolve,[$cnf( $equal(e4,op(e3,e1)) )],[refute_21_481,refute_21_287]) ).
cnf(refute_21_483,plain,
( op(e1,e1) = e2
| op(e3,e1) = e2 ),
inference(resolve,[$cnf( $equal(e4,e4) )],[refute_21_120,refute_21_482]) ).
cnf(refute_21_484,plain,
op(e1,e1) != op(e1,e4),
inference(canonicalize,[],[normalize_21_85]) ).
cnf(refute_21_485,plain,
( e2 != op(e1,e4)
| op(e1,e1) != e2
| op(e1,e1) = op(e1,e4) ),
introduced(tautology,[equality,[$cnf( $equal(op(e1,e1),e2) ),[1],$fot(op(e1,e4))]]) ).
cnf(refute_21_486,plain,
( e2 != op(e1,e4)
| op(e1,e1) = e4
| op(e1,e1) = op(e1,e4) ),
inference(resolve,[$cnf( $equal(op(e1,e1),e2) )],[refute_21_284,refute_21_485]) ).
cnf(refute_21_487,plain,
( e2 != op(e1,e4)
| op(e1,e1) = e4 ),
inference(resolve,[$cnf( $equal(op(e1,e1),op(e1,e4)) )],[refute_21_486,refute_21_484]) ).
cnf(refute_21_488,plain,
( e2 != e2
| op(e1,e4) != e2
| e2 = op(e1,e4) ),
introduced(tautology,[equality,[$cnf( ~ $equal(e2,op(e1,e4)) ),[1],$fot(e2)]]) ).
cnf(refute_21_489,plain,
( e2 != e2
| e2 = op(e1,e4) ),
inference(resolve,[$cnf( $equal(op(e1,e4),e2) )],[refute_21_143,refute_21_488]) ).
cnf(refute_21_490,plain,
( e2 != e2
| op(e1,e1) = e4 ),
inference(resolve,[$cnf( $equal(e2,op(e1,e4)) )],[refute_21_489,refute_21_487]) ).
cnf(refute_21_491,plain,
op(e1,e1) = e4,
inference(resolve,[$cnf( $equal(e2,e2) )],[refute_21_437,refute_21_490]) ).
cnf(refute_21_492,plain,
( op(e1,e1) != e2
| op(e1,e1) != e4
| e4 = e2 ),
introduced(tautology,[equality,[$cnf( $equal(op(e1,e1),e2) ),[0],$fot(e4)]]) ).
cnf(refute_21_493,plain,
( op(e1,e1) != e2
| e4 = e2 ),
inference(resolve,[$cnf( $equal(op(e1,e1),e4) )],[refute_21_491,refute_21_492]) ).
cnf(refute_21_494,plain,
( e4 = e2
| op(e3,e1) = e2 ),
inference(resolve,[$cnf( $equal(op(e1,e1),e2) )],[refute_21_483,refute_21_493]) ).
cnf(refute_21_495,plain,
( e4 != e2
| e2 = e4 ),
inference(subst,[],[refute_21_6:[bind(X,$fot(e4)),bind(Y,$fot(e2))]]) ).
cnf(refute_21_496,plain,
e4 != e2,
inference(resolve,[$cnf( $equal(e2,e4) )],[refute_21_495,refute_21_478]) ).
cnf(refute_21_497,plain,
op(e3,e1) = e2,
inference(resolve,[$cnf( $equal(e4,e2) )],[refute_21_494,refute_21_496]) ).
cnf(refute_21_498,plain,
( op(e4,e1) = e0
| op(e4,e1) = e1
| op(e4,e1) = e2
| op(e4,e1) = e3
| op(e4,e1) = e4 ),
inference(canonicalize,[],[normalize_21_86]) ).
cnf(refute_21_499,plain,
op(e4,e1) != op(e4,e4),
inference(canonicalize,[],[normalize_21_87]) ).
cnf(refute_21_500,plain,
( op(e4,e1) != e0
| op(e4,e4) != e0
| op(e4,e1) = op(e4,e4) ),
introduced(tautology,[equality,[$cnf( ~ $equal(op(e4,e1),op(e4,e4)) ),[1],$fot(e0)]]) ).
cnf(refute_21_501,plain,
( op(e4,e1) != e0
| op(e4,e1) = op(e4,e4) ),
inference(resolve,[$cnf( $equal(op(e4,e4),e0) )],[refute_21_26,refute_21_500]) ).
cnf(refute_21_502,plain,
op(e4,e1) != e0,
inference(resolve,[$cnf( $equal(op(e4,e1),op(e4,e4)) )],[refute_21_501,refute_21_499]) ).
cnf(refute_21_503,plain,
( op(e4,e1) = e1
| op(e4,e1) = e2
| op(e4,e1) = e3
| op(e4,e1) = e4 ),
inference(resolve,[$cnf( $equal(op(e4,e1),e0) )],[refute_21_498,refute_21_502]) ).
cnf(refute_21_504,plain,
op(e0,e1) != op(e4,e1),
inference(canonicalize,[],[normalize_21_88]) ).
cnf(refute_21_505,plain,
( e1 != op(e4,e1)
| op(e0,e1) != e1
| op(e0,e1) = op(e4,e1) ),
introduced(tautology,[equality,[$cnf( $equal(op(e0,e1),e1) ),[1],$fot(op(e4,e1))]]) ).
cnf(refute_21_506,plain,
( e1 != op(e4,e1)
| op(e0,e1) = op(e4,e1) ),
inference(resolve,[$cnf( $equal(op(e0,e1),e1) )],[refute_21_242,refute_21_505]) ).
cnf(refute_21_507,plain,
e1 != op(e4,e1),
inference(resolve,[$cnf( $equal(op(e0,e1),op(e4,e1)) )],[refute_21_506,refute_21_504]) ).
cnf(refute_21_508,plain,
( op(e4,e1) != e1
| e1 = op(e4,e1) ),
inference(subst,[],[refute_21_6:[bind(X,$fot(op(e4,e1))),bind(Y,$fot(e1))]]) ).
cnf(refute_21_509,plain,
op(e4,e1) != e1,
inference(resolve,[$cnf( $equal(e1,op(e4,e1)) )],[refute_21_508,refute_21_507]) ).
cnf(refute_21_510,plain,
( op(e4,e1) = e2
| op(e4,e1) = e3
| op(e4,e1) = e4 ),
inference(resolve,[$cnf( $equal(op(e4,e1),e1) )],[refute_21_503,refute_21_509]) ).
cnf(refute_21_511,plain,
op(e4,e1) != op(e4,e3),
inference(canonicalize,[],[normalize_21_89]) ).
cnf(refute_21_512,plain,
( e4 = e2
| op(e1,e3) = e0 ),
inference(resolve,[$cnf( $equal(op(e1,e1),e2) )],[refute_21_464,refute_21_493]) ).
cnf(refute_21_513,plain,
op(e1,e3) = e0,
inference(resolve,[$cnf( $equal(e4,e2) )],[refute_21_512,refute_21_496]) ).
cnf(refute_21_514,plain,
( op(e1,e3) != e0
| op(e1,e3) != e2
| e0 = e2 ),
introduced(tautology,[equality,[$cnf( $equal(op(e1,e3),e2) ),[0],$fot(e0)]]) ).
cnf(refute_21_515,plain,
( op(e1,e3) != e2
| e0 = e2 ),
inference(resolve,[$cnf( $equal(op(e1,e3),e0) )],[refute_21_513,refute_21_514]) ).
cnf(refute_21_516,plain,
( e0 = e2
| op(e3,e3) = e2
| op(e4,e3) = e2 ),
inference(resolve,[$cnf( $equal(op(e1,e3),e2) )],[refute_21_361,refute_21_515]) ).
cnf(refute_21_517,plain,
( op(e0,e3) = e4
| op(e1,e3) = e4
| op(e2,e3) = e4
| op(e3,e3) = e4
| op(e4,e3) = e4 ),
inference(canonicalize,[],[normalize_21_90]) ).
cnf(refute_21_518,plain,
( op(e0,e3) = e4
| op(e1,e3) = e4
| op(e3,e3) = e4
| op(e4,e3) = e4 ),
inference(resolve,[$cnf( $equal(op(e2,e3),e4) )],[refute_21_517,refute_21_303]) ).
cnf(refute_21_519,plain,
( op(e0,e3) != e3
| op(e0,e3) != e4
| e3 = e4 ),
introduced(tautology,[equality,[$cnf( $equal(op(e0,e3),e4) ),[0],$fot(e3)]]) ).
cnf(refute_21_520,plain,
( op(e0,e3) != e4
| e3 = e4 ),
inference(resolve,[$cnf( $equal(op(e0,e3),e3) )],[refute_21_339,refute_21_519]) ).
cnf(refute_21_521,plain,
( e3 = e4
| op(e1,e3) = e4
| op(e3,e3) = e4
| op(e4,e3) = e4 ),
inference(resolve,[$cnf( $equal(op(e0,e3),e4) )],[refute_21_518,refute_21_520]) ).
cnf(refute_21_522,plain,
( op(e1,e3) = e4
| op(e3,e3) = e4
| op(e4,e3) = e4 ),
inference(resolve,[$cnf( $equal(e3,e4) )],[refute_21_521,refute_21_102]) ).
cnf(refute_21_523,plain,
op(e4,e0) != op(e4,e3),
inference(canonicalize,[],[normalize_21_91]) ).
cnf(refute_21_524,plain,
op(e4,unit) = op(e4,unit),
introduced(tautology,[refl,[$fot(op(e4,unit))]]) ).
cnf(refute_21_525,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_526,plain,
( unit != e0
| op(e4,unit) = op(e4,e0) ),
inference(resolve,[$cnf( $equal(op(e4,unit),op(e4,unit)) )],[refute_21_524,refute_21_525]) ).
cnf(refute_21_527,plain,
op(e4,unit) = op(e4,e0),
inference(resolve,[$cnf( $equal(unit,e0) )],[refute_21_131,refute_21_526]) ).
cnf(refute_21_528,plain,
( op(e4,unit) != e4
| op(e4,unit) != op(e4,e0)
| op(e4,e0) = e4 ),
introduced(tautology,[equality,[$cnf( $equal(op(e4,unit),e4) ),[0],$fot(op(e4,e0))]]) ).
cnf(refute_21_529,plain,
( op(e4,unit) != e4
| op(e4,e0) = e4 ),
inference(resolve,[$cnf( $equal(op(e4,unit),op(e4,e0)) )],[refute_21_527,refute_21_528]) ).
cnf(refute_21_530,plain,
op(e4,e0) = e4,
inference(resolve,[$cnf( $equal(op(e4,unit),e4) )],[refute_21_94,refute_21_529]) ).
cnf(refute_21_531,plain,
( e4 != op(e4,e3)
| op(e4,e0) != e4
| op(e4,e0) = op(e4,e3) ),
introduced(tautology,[equality,[$cnf( $equal(op(e4,e0),e4) ),[1],$fot(op(e4,e3))]]) ).
cnf(refute_21_532,plain,
( e4 != op(e4,e3)
| op(e4,e0) = op(e4,e3) ),
inference(resolve,[$cnf( $equal(op(e4,e0),e4) )],[refute_21_530,refute_21_531]) ).
cnf(refute_21_533,plain,
e4 != op(e4,e3),
inference(resolve,[$cnf( $equal(op(e4,e0),op(e4,e3)) )],[refute_21_532,refute_21_523]) ).
cnf(refute_21_534,plain,
( op(e4,e3) != e4
| e4 = op(e4,e3) ),
inference(subst,[],[refute_21_6:[bind(X,$fot(op(e4,e3))),bind(Y,$fot(e4))]]) ).
cnf(refute_21_535,plain,
op(e4,e3) != e4,
inference(resolve,[$cnf( $equal(e4,op(e4,e3)) )],[refute_21_534,refute_21_533]) ).
cnf(refute_21_536,plain,
( op(e1,e3) = e4
| op(e3,e3) = e4 ),
inference(resolve,[$cnf( $equal(op(e4,e3),e4) )],[refute_21_522,refute_21_535]) ).
cnf(refute_21_537,plain,
( op(e1,e3) != e0
| op(e1,e3) != e4
| e0 = e4 ),
introduced(tautology,[equality,[$cnf( $equal(op(e1,e3),e4) ),[0],$fot(e0)]]) ).
cnf(refute_21_538,plain,
( op(e1,e3) != e4
| e0 = e4 ),
inference(resolve,[$cnf( $equal(op(e1,e3),e0) )],[refute_21_513,refute_21_537]) ).
cnf(refute_21_539,plain,
( e0 = e4
| op(e3,e3) = e4 ),
inference(resolve,[$cnf( $equal(op(e1,e3),e4) )],[refute_21_536,refute_21_538]) ).
cnf(refute_21_540,plain,
op(e3,e3) = e4,
inference(resolve,[$cnf( $equal(e0,e4) )],[refute_21_539,refute_21_87]) ).
cnf(refute_21_541,plain,
( op(e3,e3) != e2
| op(e3,e3) != e4
| e4 = e2 ),
introduced(tautology,[equality,[$cnf( $equal(op(e3,e3),e2) ),[0],$fot(e4)]]) ).
cnf(refute_21_542,plain,
( op(e3,e3) != e2
| e4 = e2 ),
inference(resolve,[$cnf( $equal(op(e3,e3),e4) )],[refute_21_540,refute_21_541]) ).
cnf(refute_21_543,plain,
( e0 = e2
| e4 = e2
| op(e4,e3) = e2 ),
inference(resolve,[$cnf( $equal(op(e3,e3),e2) )],[refute_21_516,refute_21_542]) ).
cnf(refute_21_544,plain,
e0 != e2,
inference(canonicalize,[],[normalize_21_92]) ).
cnf(refute_21_545,plain,
( e4 = e2
| op(e4,e3) = e2 ),
inference(resolve,[$cnf( $equal(e0,e2) )],[refute_21_543,refute_21_544]) ).
cnf(refute_21_546,plain,
op(e4,e3) = e2,
inference(resolve,[$cnf( $equal(e4,e2) )],[refute_21_545,refute_21_496]) ).
cnf(refute_21_547,plain,
( op(e4,e1) != e2
| op(e4,e3) != e2
| op(e4,e1) = op(e4,e3) ),
introduced(tautology,[equality,[$cnf( ~ $equal(op(e4,e1),op(e4,e3)) ),[1],$fot(e2)]]) ).
cnf(refute_21_548,plain,
( op(e4,e1) != e2
| op(e4,e1) = op(e4,e3) ),
inference(resolve,[$cnf( $equal(op(e4,e3),e2) )],[refute_21_546,refute_21_547]) ).
cnf(refute_21_549,plain,
op(e4,e1) != e2,
inference(resolve,[$cnf( $equal(op(e4,e1),op(e4,e3)) )],[refute_21_548,refute_21_511]) ).
cnf(refute_21_550,plain,
( op(e4,e1) = e3
| op(e4,e1) = e4 ),
inference(resolve,[$cnf( $equal(op(e4,e1),e2) )],[refute_21_510,refute_21_549]) ).
cnf(refute_21_551,plain,
op(e4,e0) != op(e4,e1),
inference(canonicalize,[],[normalize_21_93]) ).
cnf(refute_21_552,plain,
( e4 != op(e4,e1)
| op(e4,e0) != e4
| op(e4,e0) = op(e4,e1) ),
introduced(tautology,[equality,[$cnf( $equal(op(e4,e0),e4) ),[1],$fot(op(e4,e1))]]) ).
cnf(refute_21_553,plain,
( e4 != op(e4,e1)
| op(e4,e0) = op(e4,e1) ),
inference(resolve,[$cnf( $equal(op(e4,e0),e4) )],[refute_21_530,refute_21_552]) ).
cnf(refute_21_554,plain,
e4 != op(e4,e1),
inference(resolve,[$cnf( $equal(op(e4,e0),op(e4,e1)) )],[refute_21_553,refute_21_551]) ).
cnf(refute_21_555,plain,
( op(e4,e1) != e4
| e4 = op(e4,e1) ),
inference(subst,[],[refute_21_6:[bind(X,$fot(op(e4,e1))),bind(Y,$fot(e4))]]) ).
cnf(refute_21_556,plain,
op(e4,e1) != e4,
inference(resolve,[$cnf( $equal(e4,op(e4,e1)) )],[refute_21_555,refute_21_554]) ).
cnf(refute_21_557,plain,
op(e4,e1) = e3,
inference(resolve,[$cnf( $equal(op(e4,e1),e4) )],[refute_21_550,refute_21_556]) ).
cnf(refute_21_558,plain,
op(op(e4,e1),e1) = op(op(e4,e1),e1),
introduced(tautology,[refl,[$fot(op(op(e4,e1),e1))]]) ).
cnf(refute_21_559,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_560,plain,
( op(e4,e1) != e3
| op(op(e4,e1),e1) = op(e3,e1) ),
inference(resolve,[$cnf( $equal(op(op(e4,e1),e1),op(op(e4,e1),e1)) )],[refute_21_558,refute_21_559]) ).
cnf(refute_21_561,plain,
op(op(e4,e1),e1) = op(e3,e1),
inference(resolve,[$cnf( $equal(op(e4,e1),e3) )],[refute_21_557,refute_21_560]) ).
cnf(refute_21_562,plain,
( op(e3,e1) != e2
| op(op(e4,e1),e1) != op(e3,e1)
| op(op(e4,e1),e1) = e2 ),
inference(subst,[],[refute_21_18:[bind(X,$fot(op(op(e4,e1),e1))),bind(Y,$fot(op(e3,e1))),bind(Z,$fot(e2))]]) ).
cnf(refute_21_563,plain,
( op(e3,e1) != e2
| op(op(e4,e1),e1) = e2 ),
inference(resolve,[$cnf( $equal(op(op(e4,e1),e1),op(e3,e1)) )],[refute_21_561,refute_21_562]) ).
cnf(refute_21_564,plain,
op(op(e4,e1),e1) = e2,
inference(resolve,[$cnf( $equal(op(e3,e1),e2) )],[refute_21_497,refute_21_563]) ).
cnf(refute_21_565,plain,
( op(op(e4,e1),e1) != e2
| op(op(e4,e1),e1) != e4
| e2 = e4 ),
introduced(tautology,[equality,[$cnf( $equal(op(op(e4,e1),e1),e4) ),[0],$fot(e2)]]) ).
cnf(refute_21_566,plain,
( op(op(e4,e1),e1) != e4
| e2 = e4 ),
inference(resolve,[$cnf( $equal(op(op(e4,e1),e1),e2) )],[refute_21_564,refute_21_565]) ).
cnf(refute_21_567,plain,
e2 = e4,
inference(resolve,[$cnf( $equal(op(op(e4,e1),e1),e4) )],[refute_21_224,refute_21_566]) ).
cnf(refute_21_568,plain,
( e2 != e4
| e4 = e2 ),
inference(subst,[],[refute_21_6:[bind(X,$fot(e2)),bind(Y,$fot(e4))]]) ).
cnf(refute_21_569,plain,
e4 = e2,
inference(resolve,[$cnf( $equal(e2,e4) )],[refute_21_567,refute_21_568]) ).
cnf(refute_21_570,plain,
op(e1,e4) = op(e1,e4),
introduced(tautology,[refl,[$fot(op(e1,e4))]]) ).
cnf(refute_21_571,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_21_572,plain,
( e4 != e2
| op(e1,e4) = op(e1,e2) ),
inference(resolve,[$cnf( $equal(op(e1,e4),op(e1,e4)) )],[refute_21_570,refute_21_571]) ).
cnf(refute_21_573,plain,
op(e1,e4) = op(e1,e2),
inference(resolve,[$cnf( $equal(e4,e2) )],[refute_21_569,refute_21_572]) ).
cnf(refute_21_574,plain,
( op(e1,e2) != e3
| op(e1,e4) != op(e1,e2)
| op(e1,e4) = e3 ),
inference(subst,[],[refute_21_18:[bind(X,$fot(op(e1,e4))),bind(Y,$fot(op(e1,e2))),bind(Z,$fot(e3))]]) ).
cnf(refute_21_575,plain,
( op(e1,e2) != e3
| op(e1,e4) = e3 ),
inference(resolve,[$cnf( $equal(op(e1,e4),op(e1,e2)) )],[refute_21_573,refute_21_574]) ).
cnf(refute_21_576,plain,
op(e1,e4) = e3,
inference(resolve,[$cnf( $equal(op(e1,e2),e3) )],[refute_21_223,refute_21_575]) ).
cnf(refute_21_577,plain,
( op(e1,e4) != e2
| op(e1,e4) != e3
| e3 = e2 ),
introduced(tautology,[equality,[$cnf( $equal(op(e1,e4),e2) ),[0],$fot(e3)]]) ).
cnf(refute_21_578,plain,
( op(e1,e4) != e2
| e3 = e2 ),
inference(resolve,[$cnf( $equal(op(e1,e4),e3) )],[refute_21_576,refute_21_577]) ).
cnf(refute_21_579,plain,
e3 = e2,
inference(resolve,[$cnf( $equal(op(e1,e4),e2) )],[refute_21_143,refute_21_578]) ).
cnf(refute_21_580,plain,
( e4 != e2
| op(e2,e2) != e4
| op(e2,e2) = e2 ),
inference(subst,[],[refute_21_18:[bind(X,$fot(op(e2,e2))),bind(Y,$fot(e4)),bind(Z,$fot(e2))]]) ).
cnf(refute_21_581,plain,
( e4 != e2
| op(e2,e2) = e2 ),
inference(resolve,[$cnf( $equal(op(e2,e2),e4) )],[refute_21_8,refute_21_580]) ).
cnf(refute_21_582,plain,
op(e2,e2) = e2,
inference(resolve,[$cnf( $equal(e4,e2) )],[refute_21_569,refute_21_581]) ).
cnf(refute_21_583,plain,
op(e2,e3) = op(e2,e3),
introduced(tautology,[refl,[$fot(op(e2,e3))]]) ).
cnf(refute_21_584,plain,
( e3 != e2
| op(e2,e3) != op(e2,e3)
| op(e2,e3) = op(e2,e2) ),
introduced(tautology,[equality,[$cnf( $equal(op(e2,e3),op(e2,e3)) ),[1,1],$fot(e2)]]) ).
cnf(refute_21_585,plain,
( e3 != e2
| op(e2,e3) = op(e2,e2) ),
inference(resolve,[$cnf( $equal(op(e2,e3),op(e2,e3)) )],[refute_21_583,refute_21_584]) ).
cnf(refute_21_586,plain,
op(e2,e3) = op(e2,e2),
inference(resolve,[$cnf( $equal(e3,e2) )],[refute_21_579,refute_21_585]) ).
cnf(refute_21_587,plain,
( op(e2,e2) != e2
| op(e2,e3) != op(e2,e2)
| op(e2,e3) = e2 ),
inference(subst,[],[refute_21_18:[bind(X,$fot(op(e2,e3))),bind(Y,$fot(op(e2,e2))),bind(Z,$fot(e2))]]) ).
cnf(refute_21_588,plain,
( op(e2,e2) != e2
| op(e2,e3) = e2 ),
inference(resolve,[$cnf( $equal(op(e2,e3),op(e2,e2)) )],[refute_21_586,refute_21_587]) ).
cnf(refute_21_589,plain,
op(e2,e3) = e2,
inference(resolve,[$cnf( $equal(op(e2,e2),e2) )],[refute_21_582,refute_21_588]) ).
cnf(refute_21_590,plain,
( op(e2,e3) != e1
| op(e2,e3) != e2
| e2 = e1 ),
introduced(tautology,[equality,[$cnf( $equal(op(e2,e3),e1) ),[0],$fot(e2)]]) ).
cnf(refute_21_591,plain,
( op(e2,e3) != e1
| e2 = e1 ),
inference(resolve,[$cnf( $equal(op(e2,e3),e2) )],[refute_21_589,refute_21_590]) ).
cnf(refute_21_592,plain,
e2 = e1,
inference(resolve,[$cnf( $equal(op(e2,e3),e1) )],[refute_21_323,refute_21_591]) ).
cnf(refute_21_593,plain,
( e2 != e1
| e3 != e2
| e3 = e1 ),
introduced(tautology,[equality,[$cnf( $equal(e3,e2) ),[1],$fot(e1)]]) ).
cnf(refute_21_594,plain,
( e3 != e2
| e3 = e1 ),
inference(resolve,[$cnf( $equal(e2,e1) )],[refute_21_592,refute_21_593]) ).
cnf(refute_21_595,plain,
e3 = e1,
inference(resolve,[$cnf( $equal(e3,e2) )],[refute_21_579,refute_21_594]) ).
cnf(refute_21_596,plain,
( e2 != e1
| e4 != e2
| e4 = e1 ),
inference(subst,[],[refute_21_18:[bind(X,$fot(e4)),bind(Y,$fot(e2)),bind(Z,$fot(e1))]]) ).
cnf(refute_21_597,plain,
( e2 != e1
| e4 = e1 ),
inference(resolve,[$cnf( $equal(e4,e2) )],[refute_21_569,refute_21_596]) ).
cnf(refute_21_598,plain,
e4 = e1,
inference(resolve,[$cnf( $equal(e2,e1) )],[refute_21_592,refute_21_597]) ).
cnf(refute_21_599,plain,
( e4 != e1
| op(e1,e1) != e4
| op(e1,e1) = e1 ),
inference(subst,[],[refute_21_18:[bind(X,$fot(op(e1,e1))),bind(Y,$fot(e4)),bind(Z,$fot(e1))]]) ).
cnf(refute_21_600,plain,
( e4 != e1
| op(e1,e1) = e1 ),
inference(resolve,[$cnf( $equal(op(e1,e1),e4) )],[refute_21_491,refute_21_599]) ).
cnf(refute_21_601,plain,
op(e1,e1) = e1,
inference(resolve,[$cnf( $equal(e4,e1) )],[refute_21_598,refute_21_600]) ).
cnf(refute_21_602,plain,
op(e2,e1) = op(e2,e1),
introduced(tautology,[refl,[$fot(op(e2,e1))]]) ).
cnf(refute_21_603,plain,
( e2 != e1
| op(e2,e1) != op(e2,e1)
| op(e2,e1) = op(e1,e1) ),
introduced(tautology,[equality,[$cnf( $equal(op(e2,e1),op(e2,e1)) ),[1,0],$fot(e1)]]) ).
cnf(refute_21_604,plain,
( e2 != e1
| op(e2,e1) = op(e1,e1) ),
inference(resolve,[$cnf( $equal(op(e2,e1),op(e2,e1)) )],[refute_21_602,refute_21_603]) ).
cnf(refute_21_605,plain,
op(e2,e1) = op(e1,e1),
inference(resolve,[$cnf( $equal(e2,e1) )],[refute_21_592,refute_21_604]) ).
cnf(refute_21_606,plain,
( op(e1,e1) != e1
| op(e2,e1) != op(e1,e1)
| op(e2,e1) = e1 ),
inference(subst,[],[refute_21_18:[bind(X,$fot(op(e2,e1))),bind(Y,$fot(op(e1,e1))),bind(Z,$fot(e1))]]) ).
cnf(refute_21_607,plain,
( op(e1,e1) != e1
| op(e2,e1) = e1 ),
inference(resolve,[$cnf( $equal(op(e2,e1),op(e1,e1)) )],[refute_21_605,refute_21_606]) ).
cnf(refute_21_608,plain,
op(e2,e1) = e1,
inference(resolve,[$cnf( $equal(op(e1,e1),e1) )],[refute_21_601,refute_21_607]) ).
cnf(refute_21_609,plain,
( op(e2,e1) != e0
| op(e2,e1) != e1
| e1 = e0 ),
introduced(tautology,[equality,[$cnf( $equal(op(e2,e1),e0) ),[0],$fot(e1)]]) ).
cnf(refute_21_610,plain,
( op(e2,e1) != e0
| e1 = e0 ),
inference(resolve,[$cnf( $equal(op(e2,e1),e1) )],[refute_21_608,refute_21_609]) ).
cnf(refute_21_611,plain,
e1 = e0,
inference(resolve,[$cnf( $equal(op(e2,e1),e0) )],[refute_21_268,refute_21_610]) ).
cnf(refute_21_612,plain,
( e1 != e0
| e3 != e1
| e3 = e0 ),
introduced(tautology,[equality,[$cnf( $equal(e3,e1) ),[1],$fot(e0)]]) ).
cnf(refute_21_613,plain,
( e3 != e1
| e3 = e0 ),
inference(resolve,[$cnf( $equal(e1,e0) )],[refute_21_611,refute_21_612]) ).
cnf(refute_21_614,plain,
e3 = e0,
inference(resolve,[$cnf( $equal(e3,e1) )],[refute_21_595,refute_21_613]) ).
cnf(refute_21_615,plain,
e0 != e3,
inference(canonicalize,[],[normalize_21_94]) ).
cnf(refute_21_616,plain,
( e3 != e0
| e0 = e3 ),
inference(subst,[],[refute_21_6:[bind(X,$fot(e3)),bind(Y,$fot(e0))]]) ).
cnf(refute_21_617,plain,
e3 != e0,
inference(resolve,[$cnf( $equal(e0,e3) )],[refute_21_616,refute_21_615]) ).
cnf(refute_21_618,plain,
$false,
inference(resolve,[$cnf( $equal(e3,e0) )],[refute_21_614,refute_21_617]) ).
fof(negate_22_0,plain,
~ ( ( ( ( op(e0,op(e0,e0)) != e0
& op(e0,op(e0,e0)) = e0 )
| ( op(e1,op(e1,e0)) != e0
& op(e0,op(e1,e0)) = e1 )
| ( op(e2,op(e2,e0)) != e0
& op(e0,op(e2,e0)) = e2 )
| ( op(e3,op(e3,e0)) != e0
& op(e0,op(e3,e0)) = e3 )
| ( op(e4,op(e4,e0)) != e0
& op(e0,op(e4,e0)) = e4 ) )
& ( ( op(e0,op(e0,e1)) != e1
& op(e1,op(e0,e1)) = e0 )
| ( op(e1,op(e1,e1)) != e1
& op(e1,op(e1,e1)) = e1 )
| ( op(e2,op(e2,e1)) != e1
& op(e1,op(e2,e1)) = e2 )
| ( op(e3,op(e3,e1)) != e1
& op(e1,op(e3,e1)) = e3 )
| ( op(e4,op(e4,e1)) != e1
& op(e1,op(e4,e1)) = e4 ) )
& ( ( op(e0,op(e0,e2)) != e2
& op(e2,op(e0,e2)) = e0 )
| ( op(e1,op(e1,e2)) != e2
& op(e2,op(e1,e2)) = e1 )
| ( op(e2,op(e2,e2)) != e2
& op(e2,op(e2,e2)) = e2 )
| ( op(e3,op(e3,e2)) != e2
& op(e2,op(e3,e2)) = e3 )
| ( op(e4,op(e4,e2)) != e2
& op(e2,op(e4,e2)) = e4 ) )
& ( ( op(e0,op(e0,e3)) != e3
& op(e3,op(e0,e3)) = e0 )
| ( op(e1,op(e1,e3)) != e3
& op(e3,op(e1,e3)) = e1 )
| ( op(e2,op(e2,e3)) != e3
& op(e3,op(e2,e3)) = e2 )
| ( op(e3,op(e3,e3)) != e3
& op(e3,op(e3,e3)) = e3 )
| ( op(e4,op(e4,e3)) != e3
& op(e3,op(e4,e3)) = e4 ) )
& ( ( op(e0,op(e0,e4)) != e4
& op(e4,op(e0,e4)) = e0 )
| ( op(e1,op(e1,e4)) != e4
& op(e4,op(e1,e4)) = e1 )
| ( op(e2,op(e2,e4)) != e4
& op(e4,op(e2,e4)) = e2 )
| ( op(e3,op(e3,e4)) != e4
& op(e4,op(e3,e4)) = e3 )
| ( op(e4,op(e4,e4)) != e4
& op(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,
( 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_1,plain,
op(unit,e2) = e2,
inference(conjunct,[],[normalize_22_0]) ).
fof(normalize_22_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_22_3,plain,
op(e0,e2) != op(e4,e2),
inference(conjunct,[],[normalize_22_2]) ).
fof(normalize_22_4,plain,
op(unit,e4) = e4,
inference(conjunct,[],[normalize_22_0]) ).
fof(normalize_22_5,plain,
( unit = e0
| unit = e1
| unit = e2
| unit = e3
| unit = e4 ),
inference(conjunct,[],[normalize_22_0]) ).
fof(normalize_22_6,plain,
( e0 = op(op(e2,e2),op(e2,e2))
& e1 = op(op(e2,op(e2,e2)),op(e2,e2))
& e3 = op(e2,op(e2,e2))
& e4 = op(e2,e2) ),
inference(canonicalize,[],[ax6]) ).
fof(normalize_22_7,plain,
e3 = op(e2,op(e2,e2)),
inference(conjunct,[],[normalize_22_6]) ).
fof(normalize_22_8,plain,
e4 = op(e2,e2),
inference(conjunct,[],[normalize_22_6]) ).
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,
e3 != e4,
inference(conjunct,[],[normalize_22_9]) ).
fof(normalize_22_11,plain,
e1 = op(op(e2,op(e2,e2)),op(e2,e2)),
inference(conjunct,[],[normalize_22_6]) ).
fof(normalize_22_12,plain,
e1 != e4,
inference(conjunct,[],[normalize_22_9]) ).
fof(normalize_22_13,plain,
e0 = op(op(e2,e2),op(e2,e2)),
inference(conjunct,[],[normalize_22_6]) ).
fof(normalize_22_14,plain,
e0 != e4,
inference(conjunct,[],[normalize_22_9]) ).
fof(normalize_22_15,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_16,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_15]) ).
fof(normalize_22_17,plain,
op(e2,e2) != op(e4,e2),
inference(conjunct,[],[normalize_22_2]) ).
fof(normalize_22_18,plain,
op(e4,e2) != op(e4,e4),
inference(conjunct,[],[normalize_22_2]) ).
fof(normalize_22_19,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,op(e0,e1)) != e1
& op(e1,op(e0,e1)) = e0 )
| ( op(e2,op(e2,e1)) != e1
& op(e1,op(e2,e1)) = e2 )
| ( op(e3,op(e3,e1)) != e1
& op(e1,op(e3,e1)) = e3 )
| ( op(e4,op(e4,e1)) != e1
& op(e1,op(e4,e1)) = e4 ) )
& ( ( op(e0,op(e0,e2)) != e2
& op(e2,op(e0,e2)) = e0 )
| ( op(e1,op(e1,e2)) != e2
& op(e2,op(e1,e2)) = e1 )
| ( op(e3,op(e3,e2)) != e2
& op(e2,op(e3,e2)) = e3 )
| ( op(e4,op(e4,e2)) != e2
& op(e2,op(e4,e2)) = e4 ) )
& ( ( op(e0,op(e0,e3)) != e3
& op(e3,op(e0,e3)) = e0 )
| ( op(e1,op(e1,e3)) != e3
& op(e3,op(e1,e3)) = e1 )
| ( op(e2,op(e2,e3)) != e3
& op(e3,op(e2,e3)) = e2 )
| ( op(e4,op(e4,e3)) != e3
& op(e3,op(e4,e3)) = e4 ) )
& ( ( op(e0,op(e0,e4)) != e4
& op(e4,op(e0,e4)) = e0 )
| ( op(e1,op(e1,e4)) != e4
& op(e4,op(e1,e4)) = e1 )
| ( op(e2,op(e2,e4)) != e4
& op(e4,op(e2,e4)) = e2 )
| ( op(e3,op(e3,e4)) != e4
& op(e4,op(e3,e4)) = e3 ) )
& ( ( op(e1,op(e1,e0)) != e0
& op(e0,op(e1,e0)) = e1 )
| ( op(e2,op(e2,e0)) != e0
& op(e0,op(e2,e0)) = e2 )
| ( op(e3,op(e3,e0)) != e0
& op(e0,op(e3,e0)) = e3 )
| ( op(e4,op(e4,e0)) != e0
& op(e0,op(e4,e0)) = e4 ) ) ),
inference(canonicalize,[],[negate_22_0]) ).
fof(normalize_22_20,plain,
op(e2,e4) != op(e4,e2),
inference(conjunct,[],[normalize_22_19]) ).
fof(normalize_22_21,plain,
op(op(e4,e2),e2) = e4,
inference(conjunct,[],[normalize_22_19]) ).
fof(normalize_22_22,plain,
op(e1,e2) != op(e2,e2),
inference(conjunct,[],[normalize_22_2]) ).
fof(normalize_22_23,plain,
e1 != e2,
inference(conjunct,[],[normalize_22_9]) ).
fof(normalize_22_24,plain,
op(e1,e2) != op(e4,e2),
inference(conjunct,[],[normalize_22_2]) ).
cnf(refute_22_0,plain,
op(unit,e2) = e2,
inference(canonicalize,[],[normalize_22_1]) ).
cnf(refute_22_1,plain,
op(e0,e2) != op(e4,e2),
inference(canonicalize,[],[normalize_22_3]) ).
cnf(refute_22_2,plain,
op(unit,e4) = e4,
inference(canonicalize,[],[normalize_22_4]) ).
cnf(refute_22_3,plain,
( unit = e0
| unit = e1
| unit = e2
| unit = e3
| unit = e4 ),
inference(canonicalize,[],[normalize_22_5]) ).
cnf(refute_22_4,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_5,plain,
( op(unit,e4) != e4
| op(e2,e4) = e4
| unit = e0
| unit = e1
| unit = e3
| unit = e4 ),
inference(resolve,[$cnf( $equal(unit,e2) )],[refute_22_3,refute_22_4]) ).
cnf(refute_22_6,plain,
( op(e2,e4) = e4
| unit = e0
| unit = e1
| unit = e3
| unit = e4 ),
inference(resolve,[$cnf( $equal(op(unit,e4),e4) )],[refute_22_2,refute_22_5]) ).
cnf(refute_22_7,plain,
e3 = op(e2,op(e2,e2)),
inference(canonicalize,[],[normalize_22_7]) ).
cnf(refute_22_8,plain,
e4 = op(e2,e2),
inference(canonicalize,[],[normalize_22_8]) ).
cnf(refute_22_9,plain,
X = X,
introduced(tautology,[refl,[$fot(X)]]) ).
cnf(refute_22_10,plain,
( X != X
| X != Y
| Y = X ),
introduced(tautology,[equality,[$cnf( $equal(X,X) ),[0],$fot(Y)]]) ).
cnf(refute_22_11,plain,
( X != Y
| Y = X ),
inference(resolve,[$cnf( $equal(X,X) )],[refute_22_9,refute_22_10]) ).
cnf(refute_22_12,plain,
( e4 != op(e2,e2)
| op(e2,e2) = e4 ),
inference(subst,[],[refute_22_11:[bind(X,$fot(e4)),bind(Y,$fot(op(e2,e2)))]]) ).
cnf(refute_22_13,plain,
op(e2,e2) = e4,
inference(resolve,[$cnf( $equal(e4,op(e2,e2)) )],[refute_22_8,refute_22_12]) ).
cnf(refute_22_14,plain,
op(e2,op(e2,e2)) = op(e2,op(e2,e2)),
introduced(tautology,[refl,[$fot(op(e2,op(e2,e2)))]]) ).
cnf(refute_22_15,plain,
( op(e2,e2) != e4
| op(e2,op(e2,e2)) != op(e2,op(e2,e2))
| op(e2,op(e2,e2)) = op(e2,e4) ),
introduced(tautology,[equality,[$cnf( $equal(op(e2,op(e2,e2)),op(e2,op(e2,e2))) ),[1,1],$fot(e4)]]) ).
cnf(refute_22_16,plain,
( op(e2,e2) != e4
| op(e2,op(e2,e2)) = op(e2,e4) ),
inference(resolve,[$cnf( $equal(op(e2,op(e2,e2)),op(e2,op(e2,e2))) )],[refute_22_14,refute_22_15]) ).
cnf(refute_22_17,plain,
op(e2,op(e2,e2)) = op(e2,e4),
inference(resolve,[$cnf( $equal(op(e2,e2),e4) )],[refute_22_13,refute_22_16]) ).
cnf(refute_22_18,plain,
( e3 != op(e2,op(e2,e2))
| op(e2,op(e2,e2)) != op(e2,e4)
| e3 = op(e2,e4) ),
introduced(tautology,[equality,[$cnf( ~ $equal(e3,op(e2,e4)) ),[0],$fot(op(e2,op(e2,e2)))]]) ).
cnf(refute_22_19,plain,
( e3 != op(e2,op(e2,e2))
| e3 = op(e2,e4) ),
inference(resolve,[$cnf( $equal(op(e2,op(e2,e2)),op(e2,e4)) )],[refute_22_17,refute_22_18]) ).
cnf(refute_22_20,plain,
e3 = op(e2,e4),
inference(resolve,[$cnf( $equal(e3,op(e2,op(e2,e2))) )],[refute_22_7,refute_22_19]) ).
cnf(refute_22_21,plain,
( e3 != op(e2,e4)
| op(e2,e4) = e3 ),
inference(subst,[],[refute_22_11:[bind(X,$fot(e3)),bind(Y,$fot(op(e2,e4)))]]) ).
cnf(refute_22_22,plain,
op(e2,e4) = e3,
inference(resolve,[$cnf( $equal(e3,op(e2,e4)) )],[refute_22_20,refute_22_21]) ).
cnf(refute_22_23,plain,
( op(e2,e4) != e3
| op(e2,e4) != e4
| e3 = e4 ),
introduced(tautology,[equality,[$cnf( $equal(op(e2,e4),e4) ),[0],$fot(e3)]]) ).
cnf(refute_22_24,plain,
( op(e2,e4) != e4
| e3 = e4 ),
inference(resolve,[$cnf( $equal(op(e2,e4),e3) )],[refute_22_22,refute_22_23]) ).
cnf(refute_22_25,plain,
( e3 = e4
| unit = e0
| unit = e1
| unit = e3
| unit = e4 ),
inference(resolve,[$cnf( $equal(op(e2,e4),e4) )],[refute_22_6,refute_22_24]) ).
cnf(refute_22_26,plain,
e3 != e4,
inference(canonicalize,[],[normalize_22_10]) ).
cnf(refute_22_27,plain,
( unit = e0
| unit = e1
| unit = e3
| unit = e4 ),
inference(resolve,[$cnf( $equal(e3,e4) )],[refute_22_25,refute_22_26]) ).
cnf(refute_22_28,plain,
( op(unit,e4) != e4
| unit != e3
| op(e3,e4) = e4 ),
introduced(tautology,[equality,[$cnf( $equal(op(unit,e4),e4) ),[0,0],$fot(e3)]]) ).
cnf(refute_22_29,plain,
( op(unit,e4) != e4
| op(e3,e4) = e4
| unit = e0
| unit = e1
| unit = e4 ),
inference(resolve,[$cnf( $equal(unit,e3) )],[refute_22_27,refute_22_28]) ).
cnf(refute_22_30,plain,
( op(e3,e4) = e4
| unit = e0
| unit = e1
| unit = e4 ),
inference(resolve,[$cnf( $equal(op(unit,e4),e4) )],[refute_22_2,refute_22_29]) ).
cnf(refute_22_31,plain,
e1 = op(op(e2,op(e2,e2)),op(e2,e2)),
inference(canonicalize,[],[normalize_22_11]) ).
cnf(refute_22_32,plain,
op(e3,op(e2,e2)) = op(e3,op(e2,e2)),
introduced(tautology,[refl,[$fot(op(e3,op(e2,e2)))]]) ).
cnf(refute_22_33,plain,
( op(e2,e2) != e4
| op(e3,op(e2,e2)) != op(e3,op(e2,e2))
| op(e3,op(e2,e2)) = op(e3,e4) ),
introduced(tautology,[equality,[$cnf( $equal(op(e3,op(e2,e2)),op(e3,op(e2,e2))) ),[1,1],$fot(e4)]]) ).
cnf(refute_22_34,plain,
( op(e2,e2) != e4
| op(e3,op(e2,e2)) = op(e3,e4) ),
inference(resolve,[$cnf( $equal(op(e3,op(e2,e2)),op(e3,op(e2,e2))) )],[refute_22_32,refute_22_33]) ).
cnf(refute_22_35,plain,
op(e3,op(e2,e2)) = op(e3,e4),
inference(resolve,[$cnf( $equal(op(e2,e2),e4) )],[refute_22_13,refute_22_34]) ).
cnf(refute_22_36,plain,
( e3 != op(e2,op(e2,e2))
| op(e2,op(e2,e2)) = e3 ),
inference(subst,[],[refute_22_11:[bind(X,$fot(e3)),bind(Y,$fot(op(e2,op(e2,e2))))]]) ).
cnf(refute_22_37,plain,
op(e2,op(e2,e2)) = e3,
inference(resolve,[$cnf( $equal(e3,op(e2,op(e2,e2))) )],[refute_22_7,refute_22_36]) ).
cnf(refute_22_38,plain,
op(op(e2,op(e2,e2)),op(e2,e2)) = op(op(e2,op(e2,e2)),op(e2,e2)),
introduced(tautology,[refl,[$fot(op(op(e2,op(e2,e2)),op(e2,e2)))]]) ).
cnf(refute_22_39,plain,
( op(e2,op(e2,e2)) != e3
| op(op(e2,op(e2,e2)),op(e2,e2)) != op(op(e2,op(e2,e2)),op(e2,e2))
| op(op(e2,op(e2,e2)),op(e2,e2)) = op(e3,op(e2,e2)) ),
introduced(tautology,[equality,[$cnf( $equal(op(op(e2,op(e2,e2)),op(e2,e2)),op(op(e2,op(e2,e2)),op(e2,e2))) ),[1,0],$fot(e3)]]) ).
cnf(refute_22_40,plain,
( op(e2,op(e2,e2)) != e3
| op(op(e2,op(e2,e2)),op(e2,e2)) = op(e3,op(e2,e2)) ),
inference(resolve,[$cnf( $equal(op(op(e2,op(e2,e2)),op(e2,e2)),op(op(e2,op(e2,e2)),op(e2,e2))) )],[refute_22_38,refute_22_39]) ).
cnf(refute_22_41,plain,
op(op(e2,op(e2,e2)),op(e2,e2)) = op(e3,op(e2,e2)),
inference(resolve,[$cnf( $equal(op(e2,op(e2,e2)),e3) )],[refute_22_37,refute_22_40]) ).
cnf(refute_22_42,plain,
( Y != X
| Y != Z
| X = Z ),
introduced(tautology,[equality,[$cnf( $equal(Y,Z) ),[0],$fot(X)]]) ).
cnf(refute_22_43,plain,
( X != Y
| Y != Z
| X = Z ),
inference(resolve,[$cnf( $equal(Y,X) )],[refute_22_11,refute_22_42]) ).
cnf(refute_22_44,plain,
( op(e3,op(e2,e2)) != op(e3,e4)
| op(op(e2,op(e2,e2)),op(e2,e2)) != op(e3,op(e2,e2))
| op(op(e2,op(e2,e2)),op(e2,e2)) = op(e3,e4) ),
inference(subst,[],[refute_22_43:[bind(X,$fot(op(op(e2,op(e2,e2)),op(e2,e2)))),bind(Y,$fot(op(e3,op(e2,e2)))),bind(Z,$fot(op(e3,e4)))]]) ).
cnf(refute_22_45,plain,
( op(e3,op(e2,e2)) != op(e3,e4)
| op(op(e2,op(e2,e2)),op(e2,e2)) = op(e3,e4) ),
inference(resolve,[$cnf( $equal(op(op(e2,op(e2,e2)),op(e2,e2)),op(e3,op(e2,e2))) )],[refute_22_41,refute_22_44]) ).
cnf(refute_22_46,plain,
op(op(e2,op(e2,e2)),op(e2,e2)) = op(e3,e4),
inference(resolve,[$cnf( $equal(op(e3,op(e2,e2)),op(e3,e4)) )],[refute_22_35,refute_22_45]) ).
cnf(refute_22_47,plain,
( e1 != op(op(e2,op(e2,e2)),op(e2,e2))
| op(op(e2,op(e2,e2)),op(e2,e2)) != op(e3,e4)
| e1 = op(e3,e4) ),
introduced(tautology,[equality,[$cnf( ~ $equal(e1,op(e3,e4)) ),[0],$fot(op(op(e2,op(e2,e2)),op(e2,e2)))]]) ).
cnf(refute_22_48,plain,
( e1 != op(op(e2,op(e2,e2)),op(e2,e2))
| e1 = op(e3,e4) ),
inference(resolve,[$cnf( $equal(op(op(e2,op(e2,e2)),op(e2,e2)),op(e3,e4)) )],[refute_22_46,refute_22_47]) ).
cnf(refute_22_49,plain,
e1 = op(e3,e4),
inference(resolve,[$cnf( $equal(e1,op(op(e2,op(e2,e2)),op(e2,e2))) )],[refute_22_31,refute_22_48]) ).
cnf(refute_22_50,plain,
( e1 != op(e3,e4)
| op(e3,e4) = e1 ),
inference(subst,[],[refute_22_11:[bind(X,$fot(e1)),bind(Y,$fot(op(e3,e4)))]]) ).
cnf(refute_22_51,plain,
op(e3,e4) = e1,
inference(resolve,[$cnf( $equal(e1,op(e3,e4)) )],[refute_22_49,refute_22_50]) ).
cnf(refute_22_52,plain,
( op(e3,e4) != e1
| op(e3,e4) != e4
| e1 = e4 ),
introduced(tautology,[equality,[$cnf( $equal(op(e3,e4),e4) ),[0],$fot(e1)]]) ).
cnf(refute_22_53,plain,
( op(e3,e4) != e4
| e1 = e4 ),
inference(resolve,[$cnf( $equal(op(e3,e4),e1) )],[refute_22_51,refute_22_52]) ).
cnf(refute_22_54,plain,
( e1 = e4
| unit = e0
| unit = e1
| unit = e4 ),
inference(resolve,[$cnf( $equal(op(e3,e4),e4) )],[refute_22_30,refute_22_53]) ).
cnf(refute_22_55,plain,
e1 != e4,
inference(canonicalize,[],[normalize_22_12]) ).
cnf(refute_22_56,plain,
( unit = e0
| unit = e1
| unit = e4 ),
inference(resolve,[$cnf( $equal(e1,e4) )],[refute_22_54,refute_22_55]) ).
cnf(refute_22_57,plain,
( op(unit,e4) != e4
| unit != e4
| op(e4,e4) = e4 ),
introduced(tautology,[equality,[$cnf( $equal(op(unit,e4),e4) ),[0,0],$fot(e4)]]) ).
cnf(refute_22_58,plain,
( op(unit,e4) != e4
| op(e4,e4) = e4
| unit = e0
| unit = e1 ),
inference(resolve,[$cnf( $equal(unit,e4) )],[refute_22_56,refute_22_57]) ).
cnf(refute_22_59,plain,
( op(e4,e4) = e4
| unit = e0
| unit = e1 ),
inference(resolve,[$cnf( $equal(op(unit,e4),e4) )],[refute_22_2,refute_22_58]) ).
cnf(refute_22_60,plain,
e0 = op(op(e2,e2),op(e2,e2)),
inference(canonicalize,[],[normalize_22_13]) ).
cnf(refute_22_61,plain,
op(e4,op(e2,e2)) = op(e4,op(e2,e2)),
introduced(tautology,[refl,[$fot(op(e4,op(e2,e2)))]]) ).
cnf(refute_22_62,plain,
( op(e2,e2) != e4
| op(e4,op(e2,e2)) != op(e4,op(e2,e2))
| op(e4,op(e2,e2)) = op(e4,e4) ),
introduced(tautology,[equality,[$cnf( $equal(op(e4,op(e2,e2)),op(e4,op(e2,e2))) ),[1,1],$fot(e4)]]) ).
cnf(refute_22_63,plain,
( op(e2,e2) != e4
| op(e4,op(e2,e2)) = op(e4,e4) ),
inference(resolve,[$cnf( $equal(op(e4,op(e2,e2)),op(e4,op(e2,e2))) )],[refute_22_61,refute_22_62]) ).
cnf(refute_22_64,plain,
op(e4,op(e2,e2)) = op(e4,e4),
inference(resolve,[$cnf( $equal(op(e2,e2),e4) )],[refute_22_13,refute_22_63]) ).
cnf(refute_22_65,plain,
op(op(e2,e2),op(e2,e2)) = op(op(e2,e2),op(e2,e2)),
introduced(tautology,[refl,[$fot(op(op(e2,e2),op(e2,e2)))]]) ).
cnf(refute_22_66,plain,
( op(e2,e2) != e4
| op(op(e2,e2),op(e2,e2)) != op(op(e2,e2),op(e2,e2))
| op(op(e2,e2),op(e2,e2)) = op(e4,op(e2,e2)) ),
introduced(tautology,[equality,[$cnf( $equal(op(op(e2,e2),op(e2,e2)),op(op(e2,e2),op(e2,e2))) ),[1,0],$fot(e4)]]) ).
cnf(refute_22_67,plain,
( op(e2,e2) != e4
| op(op(e2,e2),op(e2,e2)) = op(e4,op(e2,e2)) ),
inference(resolve,[$cnf( $equal(op(op(e2,e2),op(e2,e2)),op(op(e2,e2),op(e2,e2))) )],[refute_22_65,refute_22_66]) ).
cnf(refute_22_68,plain,
op(op(e2,e2),op(e2,e2)) = op(e4,op(e2,e2)),
inference(resolve,[$cnf( $equal(op(e2,e2),e4) )],[refute_22_13,refute_22_67]) ).
cnf(refute_22_69,plain,
( op(e4,op(e2,e2)) != op(e4,e4)
| op(op(e2,e2),op(e2,e2)) != op(e4,op(e2,e2))
| op(op(e2,e2),op(e2,e2)) = op(e4,e4) ),
inference(subst,[],[refute_22_43:[bind(X,$fot(op(op(e2,e2),op(e2,e2)))),bind(Y,$fot(op(e4,op(e2,e2)))),bind(Z,$fot(op(e4,e4)))]]) ).
cnf(refute_22_70,plain,
( op(e4,op(e2,e2)) != op(e4,e4)
| op(op(e2,e2),op(e2,e2)) = op(e4,e4) ),
inference(resolve,[$cnf( $equal(op(op(e2,e2),op(e2,e2)),op(e4,op(e2,e2))) )],[refute_22_68,refute_22_69]) ).
cnf(refute_22_71,plain,
op(op(e2,e2),op(e2,e2)) = op(e4,e4),
inference(resolve,[$cnf( $equal(op(e4,op(e2,e2)),op(e4,e4)) )],[refute_22_64,refute_22_70]) ).
cnf(refute_22_72,plain,
( e0 != op(op(e2,e2),op(e2,e2))
| op(op(e2,e2),op(e2,e2)) != op(e4,e4)
| e0 = op(e4,e4) ),
introduced(tautology,[equality,[$cnf( ~ $equal(e0,op(e4,e4)) ),[0],$fot(op(op(e2,e2),op(e2,e2)))]]) ).
cnf(refute_22_73,plain,
( e0 != op(op(e2,e2),op(e2,e2))
| e0 = op(e4,e4) ),
inference(resolve,[$cnf( $equal(op(op(e2,e2),op(e2,e2)),op(e4,e4)) )],[refute_22_71,refute_22_72]) ).
cnf(refute_22_74,plain,
e0 = op(e4,e4),
inference(resolve,[$cnf( $equal(e0,op(op(e2,e2),op(e2,e2))) )],[refute_22_60,refute_22_73]) ).
cnf(refute_22_75,plain,
( e0 != op(e4,e4)
| op(e4,e4) = e0 ),
inference(subst,[],[refute_22_11:[bind(X,$fot(e0)),bind(Y,$fot(op(e4,e4)))]]) ).
cnf(refute_22_76,plain,
op(e4,e4) = e0,
inference(resolve,[$cnf( $equal(e0,op(e4,e4)) )],[refute_22_74,refute_22_75]) ).
cnf(refute_22_77,plain,
( op(e4,e4) != e0
| op(e4,e4) != e4
| e0 = e4 ),
introduced(tautology,[equality,[$cnf( $equal(op(e4,e4),e4) ),[0],$fot(e0)]]) ).
cnf(refute_22_78,plain,
( op(e4,e4) != e4
| e0 = e4 ),
inference(resolve,[$cnf( $equal(op(e4,e4),e0) )],[refute_22_76,refute_22_77]) ).
cnf(refute_22_79,plain,
( e0 = e4
| unit = e0
| unit = e1 ),
inference(resolve,[$cnf( $equal(op(e4,e4),e4) )],[refute_22_59,refute_22_78]) ).
cnf(refute_22_80,plain,
e0 != e4,
inference(canonicalize,[],[normalize_22_14]) ).
cnf(refute_22_81,plain,
( unit = e0
| unit = e1 ),
inference(resolve,[$cnf( $equal(e0,e4) )],[refute_22_79,refute_22_80]) ).
cnf(refute_22_82,plain,
( op(unit,e2) != e2
| unit != e0
| op(e0,e2) = e2 ),
introduced(tautology,[equality,[$cnf( $equal(op(unit,e2),e2) ),[0,0],$fot(e0)]]) ).
cnf(refute_22_83,plain,
( op(unit,e2) != e2
| op(e0,e2) = e2
| unit = e1 ),
inference(resolve,[$cnf( $equal(unit,e0) )],[refute_22_81,refute_22_82]) ).
cnf(refute_22_84,plain,
( op(e0,e2) = e2
| unit = e1 ),
inference(resolve,[$cnf( $equal(op(unit,e2),e2) )],[refute_22_0,refute_22_83]) ).
cnf(refute_22_85,plain,
( e2 != op(e4,e2)
| op(e0,e2) != e2
| op(e0,e2) = op(e4,e2) ),
introduced(tautology,[equality,[$cnf( $equal(op(e0,e2),e2) ),[1],$fot(op(e4,e2))]]) ).
cnf(refute_22_86,plain,
( e2 != op(e4,e2)
| op(e0,e2) = op(e4,e2)
| unit = e1 ),
inference(resolve,[$cnf( $equal(op(e0,e2),e2) )],[refute_22_84,refute_22_85]) ).
cnf(refute_22_87,plain,
( e2 != op(e4,e2)
| unit = e1 ),
inference(resolve,[$cnf( $equal(op(e0,e2),op(e4,e2)) )],[refute_22_86,refute_22_1]) ).
cnf(refute_22_88,plain,
( op(e4,e2) = e0
| op(e4,e2) = e1
| op(e4,e2) = e2
| op(e4,e2) = e3
| op(e4,e2) = e4 ),
inference(canonicalize,[],[normalize_22_16]) ).
cnf(refute_22_89,plain,
op(e2,e2) != op(e4,e2),
inference(canonicalize,[],[normalize_22_17]) ).
cnf(refute_22_90,plain,
( e4 != op(e4,e2)
| op(e2,e2) != e4
| op(e2,e2) = op(e4,e2) ),
introduced(tautology,[equality,[$cnf( $equal(op(e2,e2),e4) ),[1],$fot(op(e4,e2))]]) ).
cnf(refute_22_91,plain,
( e4 != op(e4,e2)
| op(e2,e2) = op(e4,e2) ),
inference(resolve,[$cnf( $equal(op(e2,e2),e4) )],[refute_22_13,refute_22_90]) ).
cnf(refute_22_92,plain,
e4 != op(e4,e2),
inference(resolve,[$cnf( $equal(op(e2,e2),op(e4,e2)) )],[refute_22_91,refute_22_89]) ).
cnf(refute_22_93,plain,
( op(e4,e2) != e4
| e4 = op(e4,e2) ),
inference(subst,[],[refute_22_11:[bind(X,$fot(op(e4,e2))),bind(Y,$fot(e4))]]) ).
cnf(refute_22_94,plain,
op(e4,e2) != e4,
inference(resolve,[$cnf( $equal(e4,op(e4,e2)) )],[refute_22_93,refute_22_92]) ).
cnf(refute_22_95,plain,
( op(e4,e2) = e0
| op(e4,e2) = e1
| op(e4,e2) = e2
| op(e4,e2) = e3 ),
inference(resolve,[$cnf( $equal(op(e4,e2),e4) )],[refute_22_88,refute_22_94]) ).
cnf(refute_22_96,plain,
op(e4,e2) != op(e4,e4),
inference(canonicalize,[],[normalize_22_18]) ).
cnf(refute_22_97,plain,
( op(e4,e2) != e0
| op(e4,e4) != e0
| op(e4,e2) = op(e4,e4) ),
introduced(tautology,[equality,[$cnf( ~ $equal(op(e4,e2),op(e4,e4)) ),[1],$fot(e0)]]) ).
cnf(refute_22_98,plain,
( op(e4,e2) != e0
| op(e4,e2) = op(e4,e4) ),
inference(resolve,[$cnf( $equal(op(e4,e4),e0) )],[refute_22_76,refute_22_97]) ).
cnf(refute_22_99,plain,
op(e4,e2) != e0,
inference(resolve,[$cnf( $equal(op(e4,e2),op(e4,e4)) )],[refute_22_98,refute_22_96]) ).
cnf(refute_22_100,plain,
( op(e4,e2) = e1
| op(e4,e2) = e2
| op(e4,e2) = e3 ),
inference(resolve,[$cnf( $equal(op(e4,e2),e0) )],[refute_22_95,refute_22_99]) ).
cnf(refute_22_101,plain,
op(e2,e4) != op(e4,e2),
inference(canonicalize,[],[normalize_22_20]) ).
cnf(refute_22_102,plain,
( e3 != op(e4,e2)
| op(e2,e4) != e3
| op(e2,e4) = op(e4,e2) ),
introduced(tautology,[equality,[$cnf( $equal(op(e2,e4),e3) ),[1],$fot(op(e4,e2))]]) ).
cnf(refute_22_103,plain,
( e3 != op(e4,e2)
| op(e2,e4) = op(e4,e2) ),
inference(resolve,[$cnf( $equal(op(e2,e4),e3) )],[refute_22_22,refute_22_102]) ).
cnf(refute_22_104,plain,
e3 != op(e4,e2),
inference(resolve,[$cnf( $equal(op(e2,e4),op(e4,e2)) )],[refute_22_103,refute_22_101]) ).
cnf(refute_22_105,plain,
( op(e4,e2) != e3
| e3 = op(e4,e2) ),
inference(subst,[],[refute_22_11:[bind(X,$fot(op(e4,e2))),bind(Y,$fot(e3))]]) ).
cnf(refute_22_106,plain,
op(e4,e2) != e3,
inference(resolve,[$cnf( $equal(e3,op(e4,e2)) )],[refute_22_105,refute_22_104]) ).
cnf(refute_22_107,plain,
( op(e4,e2) = e1
| op(e4,e2) = e2 ),
inference(resolve,[$cnf( $equal(op(e4,e2),e3) )],[refute_22_100,refute_22_106]) ).
cnf(refute_22_108,plain,
( e2 != e2
| op(e4,e2) != e2
| e2 = op(e4,e2) ),
introduced(tautology,[equality,[$cnf( ~ $equal(e2,op(e4,e2)) ),[1],$fot(e2)]]) ).
cnf(refute_22_109,plain,
( e2 != e2
| e2 = op(e4,e2)
| op(e4,e2) = e1 ),
inference(resolve,[$cnf( $equal(op(e4,e2),e2) )],[refute_22_107,refute_22_108]) ).
cnf(refute_22_110,plain,
( e2 != e2
| op(e4,e2) = e1
| unit = e1 ),
inference(resolve,[$cnf( $equal(e2,op(e4,e2)) )],[refute_22_109,refute_22_87]) ).
cnf(refute_22_111,plain,
e2 = e2,
introduced(tautology,[refl,[$fot(e2)]]) ).
cnf(refute_22_112,plain,
( op(e4,e2) = e1
| unit = e1 ),
inference(resolve,[$cnf( $equal(e2,e2) )],[refute_22_111,refute_22_110]) ).
cnf(refute_22_113,plain,
op(op(e4,e2),e2) = e4,
inference(canonicalize,[],[normalize_22_21]) ).
cnf(refute_22_114,plain,
( op(e4,e2) != e1
| op(op(e4,e2),e2) != e4
| op(e1,e2) = e4 ),
introduced(tautology,[equality,[$cnf( $equal(op(op(e4,e2),e2),e4) ),[0,0],$fot(e1)]]) ).
cnf(refute_22_115,plain,
( op(op(e4,e2),e2) != e4
| op(e1,e2) = e4
| op(e4,e2) = e2 ),
inference(resolve,[$cnf( $equal(op(e4,e2),e1) )],[refute_22_107,refute_22_114]) ).
cnf(refute_22_116,plain,
( op(e1,e2) = e4
| op(e4,e2) = e2 ),
inference(resolve,[$cnf( $equal(op(op(e4,e2),e2),e4) )],[refute_22_113,refute_22_115]) ).
cnf(refute_22_117,plain,
op(e1,e2) != op(e2,e2),
inference(canonicalize,[],[normalize_22_22]) ).
cnf(refute_22_118,plain,
( op(e1,e2) != e4
| op(e2,e2) != e4
| op(e1,e2) = op(e2,e2) ),
introduced(tautology,[equality,[$cnf( ~ $equal(op(e1,e2),op(e2,e2)) ),[1],$fot(e4)]]) ).
cnf(refute_22_119,plain,
( op(e1,e2) != e4
| op(e1,e2) = op(e2,e2) ),
inference(resolve,[$cnf( $equal(op(e2,e2),e4) )],[refute_22_13,refute_22_118]) ).
cnf(refute_22_120,plain,
op(e1,e2) != e4,
inference(resolve,[$cnf( $equal(op(e1,e2),op(e2,e2)) )],[refute_22_119,refute_22_117]) ).
cnf(refute_22_121,plain,
op(e4,e2) = e2,
inference(resolve,[$cnf( $equal(op(e1,e2),e4) )],[refute_22_116,refute_22_120]) ).
cnf(refute_22_122,plain,
( op(e4,e2) != e1
| op(e4,e2) != e2
| e2 = e1 ),
introduced(tautology,[equality,[$cnf( $equal(op(e4,e2),e1) ),[0],$fot(e2)]]) ).
cnf(refute_22_123,plain,
( op(e4,e2) != e1
| e2 = e1 ),
inference(resolve,[$cnf( $equal(op(e4,e2),e2) )],[refute_22_121,refute_22_122]) ).
cnf(refute_22_124,plain,
( e2 = e1
| unit = e1 ),
inference(resolve,[$cnf( $equal(op(e4,e2),e1) )],[refute_22_112,refute_22_123]) ).
cnf(refute_22_125,plain,
e1 != e2,
inference(canonicalize,[],[normalize_22_23]) ).
cnf(refute_22_126,plain,
( e2 != e1
| e1 = e2 ),
inference(subst,[],[refute_22_11:[bind(X,$fot(e2)),bind(Y,$fot(e1))]]) ).
cnf(refute_22_127,plain,
e2 != e1,
inference(resolve,[$cnf( $equal(e1,e2) )],[refute_22_126,refute_22_125]) ).
cnf(refute_22_128,plain,
unit = e1,
inference(resolve,[$cnf( $equal(e2,e1) )],[refute_22_124,refute_22_127]) ).
cnf(refute_22_129,plain,
op(unit,e2) = op(unit,e2),
introduced(tautology,[refl,[$fot(op(unit,e2))]]) ).
cnf(refute_22_130,plain,
( op(unit,e2) != op(unit,e2)
| unit != e1
| op(unit,e2) = op(e1,e2) ),
introduced(tautology,[equality,[$cnf( $equal(op(unit,e2),op(unit,e2)) ),[1,0],$fot(e1)]]) ).
cnf(refute_22_131,plain,
( unit != e1
| op(unit,e2) = op(e1,e2) ),
inference(resolve,[$cnf( $equal(op(unit,e2),op(unit,e2)) )],[refute_22_129,refute_22_130]) ).
cnf(refute_22_132,plain,
op(unit,e2) = op(e1,e2),
inference(resolve,[$cnf( $equal(unit,e1) )],[refute_22_128,refute_22_131]) ).
cnf(refute_22_133,plain,
( op(unit,e2) != e2
| op(unit,e2) != op(e1,e2)
| op(e1,e2) = e2 ),
introduced(tautology,[equality,[$cnf( $equal(op(unit,e2),e2) ),[0],$fot(op(e1,e2))]]) ).
cnf(refute_22_134,plain,
( op(unit,e2) != e2
| op(e1,e2) = e2 ),
inference(resolve,[$cnf( $equal(op(unit,e2),op(e1,e2)) )],[refute_22_132,refute_22_133]) ).
cnf(refute_22_135,plain,
op(e1,e2) = e2,
inference(resolve,[$cnf( $equal(op(unit,e2),e2) )],[refute_22_0,refute_22_134]) ).
cnf(refute_22_136,plain,
op(e1,e2) != op(e4,e2),
inference(canonicalize,[],[normalize_22_24]) ).
cnf(refute_22_137,plain,
( op(e1,e2) != e2
| op(e4,e2) != e2
| op(e1,e2) = op(e4,e2) ),
introduced(tautology,[equality,[$cnf( ~ $equal(op(e1,e2),op(e4,e2)) ),[1],$fot(e2)]]) ).
cnf(refute_22_138,plain,
( op(e1,e2) != e2
| op(e1,e2) = op(e4,e2)
| op(e4,e2) = e1 ),
inference(resolve,[$cnf( $equal(op(e4,e2),e2) )],[refute_22_107,refute_22_137]) ).
cnf(refute_22_139,plain,
( op(e1,e2) != e2
| op(e4,e2) = e1 ),
inference(resolve,[$cnf( $equal(op(e1,e2),op(e4,e2)) )],[refute_22_138,refute_22_136]) ).
cnf(refute_22_140,plain,
( op(e1,e2) != e2
| e2 = e1 ),
inference(resolve,[$cnf( $equal(op(e4,e2),e1) )],[refute_22_139,refute_22_123]) ).
cnf(refute_22_141,plain,
op(e1,e2) != e2,
inference(resolve,[$cnf( $equal(e2,e1) )],[refute_22_140,refute_22_127]) ).
cnf(refute_22_142,plain,
$false,
inference(resolve,[$cnf( $equal(op(e1,e2),e2) )],[refute_22_135,refute_22_141]) ).
fof(negate_23_0,plain,
~ ( ( ( ( op(e0,op(e0,e0)) != e0
& op(e0,op(e0,e0)) = e0 )
| ( op(e1,op(e1,e0)) != e0
& op(e0,op(e1,e0)) = e1 )
| ( op(e2,op(e2,e0)) != e0
& op(e0,op(e2,e0)) = e2 )
| ( op(e3,op(e3,e0)) != e0
& op(e0,op(e3,e0)) = e3 )
| ( op(e4,op(e4,e0)) != e0
& op(e0,op(e4,e0)) = e4 ) )
& ( ( op(e0,op(e0,e1)) != e1
& op(e1,op(e0,e1)) = e0 )
| ( op(e1,op(e1,e1)) != e1
& op(e1,op(e1,e1)) = e1 )
| ( op(e2,op(e2,e1)) != e1
& op(e1,op(e2,e1)) = e2 )
| ( op(e3,op(e3,e1)) != e1
& op(e1,op(e3,e1)) = e3 )
| ( op(e4,op(e4,e1)) != e1
& op(e1,op(e4,e1)) = e4 ) )
& ( ( op(e0,op(e0,e2)) != e2
& op(e2,op(e0,e2)) = e0 )
| ( op(e1,op(e1,e2)) != e2
& op(e2,op(e1,e2)) = e1 )
| ( op(e2,op(e2,e2)) != e2
& op(e2,op(e2,e2)) = e2 )
| ( op(e3,op(e3,e2)) != e2
& op(e2,op(e3,e2)) = e3 )
| ( op(e4,op(e4,e2)) != e2
& op(e2,op(e4,e2)) = e4 ) )
& ( ( op(e0,op(e0,e3)) != e3
& op(e3,op(e0,e3)) = e0 )
| ( op(e1,op(e1,e3)) != e3
& op(e3,op(e1,e3)) = e1 )
| ( op(e2,op(e2,e3)) != e3
& op(e3,op(e2,e3)) = e2 )
| ( op(e3,op(e3,e3)) != e3
& op(e3,op(e3,e3)) = e3 )
| ( op(e4,op(e4,e3)) != e3
& op(e3,op(e4,e3)) = e4 ) )
& ( ( op(e0,op(e0,e4)) != e4
& op(e4,op(e0,e4)) = e0 )
| ( op(e1,op(e1,e4)) != e4
& op(e4,op(e1,e4)) = e1 )
| ( op(e2,op(e2,e4)) != e4
& op(e4,op(e2,e4)) = e2 )
| ( op(e3,op(e3,e4)) != e4
& op(e4,op(e3,e4)) = e3 )
| ( op(e4,op(e4,e4)) != e4
& op(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,
( ~ definitionFOFtoCNF_98
<=> ( op(e4,op(e0,e4)) != e0
| op(e0,op(e0,e4)) = e4 ) ),
inference(canonicalize,[],[definition_9]) ).
fof(normalize_23_1,plain,
( ( op(e0,op(e0,e4)) != e4
| ~ definitionFOFtoCNF_98 )
& ( ~ definitionFOFtoCNF_98
| op(e4,op(e0,e4)) = e0 )
& ( op(e4,op(e0,e4)) != e0
| op(e0,op(e0,e4)) = e4
| definitionFOFtoCNF_98 ) ),
inference(clausify,[],[normalize_23_0]) ).
fof(normalize_23_2,plain,
( ~ definitionFOFtoCNF_98
| op(e4,op(e0,e4)) = e0 ),
inference(conjunct,[],[normalize_23_1]) ).
fof(normalize_23_3,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_4,plain,
op(e0,e2) != op(e4,e2),
inference(conjunct,[],[normalize_23_3]) ).
fof(normalize_23_5,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,op(e0,e1)) != e1
& op(e1,op(e0,e1)) = e0 )
| ( op(e2,op(e2,e1)) != e1
& op(e1,op(e2,e1)) = e2 )
| ( op(e3,op(e3,e1)) != e1
& op(e1,op(e3,e1)) = e3 )
| ( op(e4,op(e4,e1)) != e1
& op(e1,op(e4,e1)) = e4 ) )
& ( ( op(e0,op(e0,e2)) != e2
& op(e2,op(e0,e2)) = e0 )
| ( op(e1,op(e1,e2)) != e2
& op(e2,op(e1,e2)) = e1 )
| ( op(e3,op(e3,e2)) != e2
& op(e2,op(e3,e2)) = e3 )
| ( op(e4,op(e4,e2)) != e2
& op(e2,op(e4,e2)) = e4 ) )
& ( ( op(e0,op(e0,e3)) != e3
& op(e3,op(e0,e3)) = e0 )
| ( op(e1,op(e1,e3)) != e3
& op(e3,op(e1,e3)) = e1 )
| ( op(e2,op(e2,e3)) != e3
& op(e3,op(e2,e3)) = e2 )
| ( op(e4,op(e4,e3)) != e3
& op(e3,op(e4,e3)) = e4 ) )
& ( ( op(e0,op(e0,e4)) != e4
& op(e4,op(e0,e4)) = e0 )
| ( op(e1,op(e1,e4)) != e4
& op(e4,op(e1,e4)) = e1 )
| ( op(e2,op(e2,e4)) != e4
& op(e4,op(e2,e4)) = e2 )
| ( op(e3,op(e3,e4)) != e4
& op(e4,op(e3,e4)) = e3 ) )
& ( ( op(e1,op(e1,e0)) != e0
& op(e0,op(e1,e0)) = e1 )
| ( op(e2,op(e2,e0)) != e0
& op(e0,op(e2,e0)) = e2 )
| ( op(e3,op(e3,e0)) != e0
& op(e0,op(e3,e0)) = e3 )
| ( op(e4,op(e4,e0)) != e0
& op(e0,op(e4,e0)) = e4 ) ) ),
inference(canonicalize,[],[negate_23_0]) ).
fof(normalize_23_6,plain,
( op(op(e4,e2),e2) != e4
| op(e2,e4) = op(e4,e2)
| op(op(e4,e2),e4) = e2 ),
inference(conjunct,[],[normalize_23_5]) ).
fof(normalize_23_7,plain,
( e0 = op(op(e2,e2),op(e2,e2))
& e1 = op(op(e2,op(e2,e2)),op(e2,e2))
& e3 = op(e2,op(e2,e2))
& e4 = op(e2,e2) ),
inference(canonicalize,[],[ax6]) ).
fof(normalize_23_8,plain,
e3 = op(e2,op(e2,e2)),
inference(conjunct,[],[normalize_23_7]) ).
fof(normalize_23_9,plain,
e4 = op(e2,e2),
inference(conjunct,[],[normalize_23_7]) ).
fof(normalize_23_10,plain,
( ( op(e0,e0) = e0
| op(e0,e0) = e1
| op(e0,e0) = e2
| op(e0,e0) = e3
| op(e0,e0) = e4 )
& ( op(e0,e1) = e0
| op(e0,e1) = e1
| op(e0,e1) = e2
| op(e0,e1) = e3
| op(e0,e1) = e4 )
& ( op(e0,e2) = e0
| op(e0,e2) = e1
| op(e0,e2) = e2
| op(e0,e2) = e3
| op(e0,e2) = e4 )
& ( op(e0,e3) = e0
| op(e0,e3) = e1
| op(e0,e3) = e2
| op(e0,e3) = e3
| op(e0,e3) = e4 )
& ( op(e0,e4) = e0
| op(e0,e4) = e1
| op(e0,e4) = e2
| op(e0,e4) = e3
| op(e0,e4) = e4 )
& ( op(e1,e0) = e0
| op(e1,e0) = e1
| op(e1,e0) = e2
| op(e1,e0) = e3
| op(e1,e0) = e4 )
& ( op(e1,e1) = e0
| op(e1,e1) = e1
| op(e1,e1) = e2
| op(e1,e1) = e3
| op(e1,e1) = e4 )
& ( op(e1,e2) = e0
| op(e1,e2) = e1
| op(e1,e2) = e2
| op(e1,e2) = e3
| op(e1,e2) = e4 )
& ( op(e1,e3) = e0
| op(e1,e3) = e1
| op(e1,e3) = e2
| op(e1,e3) = e3
| op(e1,e3) = e4 )
& ( op(e1,e4) = e0
| op(e1,e4) = e1
| op(e1,e4) = e2
| op(e1,e4) = e3
| op(e1,e4) = e4 )
& ( op(e2,e0) = e0
| op(e2,e0) = e1
| op(e2,e0) = e2
| op(e2,e0) = e3
| op(e2,e0) = e4 )
& ( op(e2,e1) = e0
| op(e2,e1) = e1
| op(e2,e1) = e2
| op(e2,e1) = e3
| op(e2,e1) = e4 )
& ( op(e2,e2) = e0
| op(e2,e2) = e1
| op(e2,e2) = e2
| op(e2,e2) = e3
| op(e2,e2) = e4 )
& ( op(e2,e3) = e0
| op(e2,e3) = e1
| op(e2,e3) = e2
| op(e2,e3) = e3
| op(e2,e3) = e4 )
& ( op(e2,e4) = e0
| op(e2,e4) = e1
| op(e2,e4) = e2
| op(e2,e4) = e3
| op(e2,e4) = e4 )
& ( op(e3,e0) = e0
| op(e3,e0) = e1
| op(e3,e0) = e2
| op(e3,e0) = e3
| op(e3,e0) = e4 )
& ( op(e3,e1) = e0
| op(e3,e1) = e1
| op(e3,e1) = e2
| op(e3,e1) = e3
| op(e3,e1) = e4 )
& ( op(e3,e2) = e0
| op(e3,e2) = e1
| op(e3,e2) = e2
| op(e3,e2) = e3
| op(e3,e2) = e4 )
& ( op(e3,e3) = e0
| op(e3,e3) = e1
| op(e3,e3) = e2
| op(e3,e3) = e3
| op(e3,e3) = e4 )
& ( op(e3,e4) = e0
| op(e3,e4) = e1
| op(e3,e4) = e2
| op(e3,e4) = e3
| op(e3,e4) = e4 )
& ( op(e4,e0) = e0
| op(e4,e0) = e1
| op(e4,e0) = e2
| op(e4,e0) = e3
| op(e4,e0) = e4 )
& ( op(e4,e1) = e0
| op(e4,e1) = e1
| op(e4,e1) = e2
| op(e4,e1) = e3
| op(e4,e1) = e4 )
& ( op(e4,e2) = e0
| op(e4,e2) = e1
| op(e4,e2) = e2
| op(e4,e2) = e3
| op(e4,e2) = e4 )
& ( op(e4,e3) = e0
| op(e4,e3) = e1
| op(e4,e3) = e2
| op(e4,e3) = e3
| op(e4,e3) = e4 )
& ( op(e4,e4) = e0
| op(e4,e4) = e1
| op(e4,e4) = e2
| op(e4,e4) = e3
| op(e4,e4) = e4 ) ),
inference(canonicalize,[],[ax1]) ).
fof(normalize_23_11,plain,
( op(e4,e2) = e0
| op(e4,e2) = e1
| op(e4,e2) = e2
| op(e4,e2) = e3
| op(e4,e2) = e4 ),
inference(conjunct,[],[normalize_23_10]) ).
fof(normalize_23_12,plain,
op(e2,e2) != op(e4,e2),
inference(conjunct,[],[normalize_23_3]) ).
fof(normalize_23_13,plain,
op(e4,e2) != op(e4,e4),
inference(conjunct,[],[normalize_23_3]) ).
fof(normalize_23_14,plain,
e0 = op(op(e2,e2),op(e2,e2)),
inference(conjunct,[],[normalize_23_7]) ).
fof(normalize_23_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_23_16,plain,
e2 != e3,
inference(conjunct,[],[normalize_23_15]) ).
fof(normalize_23_17,plain,
( ( op(e1,op(e1,e0)) != e0
& op(e0,op(e1,e0)) = e1 )
| ( op(e2,op(e2,e0)) != e0
& op(e0,op(e2,e0)) = e2 )
| ( op(e3,op(e3,e0)) != e0
& op(e0,op(e3,e0)) = e3 )
| ( op(e4,op(e4,e0)) != e0
& op(e0,op(e4,e0)) = e4 ) ),
inference(conjunct,[],[normalize_23_5]) ).
fof(normalize_23_18,plain,
( ~ definitionFOFtoCNF_99
<=> ( op(e0,op(e1,e0)) != e1
| op(e1,op(e1,e0)) = e0 ) ),
inference(canonicalize,[],[definition_10]) ).
fof(normalize_23_19,plain,
( definitionFOFtoCNF_99
| ( op(e2,op(e2,e0)) != e0
& op(e0,op(e2,e0)) = e2 )
| ( op(e3,op(e3,e0)) != e0
& op(e0,op(e3,e0)) = e3 )
| ( op(e4,op(e4,e0)) != e0
& op(e0,op(e4,e0)) = e4 ) ),
inference(simplify,[],[normalize_23_17,normalize_23_18]) ).
fof(normalize_23_20,plain,
( ( op(e2,op(e2,e0)) != e0
| op(e3,op(e3,e0)) != e0
| op(e4,op(e4,e0)) != e0
| definitionFOFtoCNF_99 )
& ( op(e2,op(e2,e0)) != e0
| op(e3,op(e3,e0)) != e0
| op(e0,op(e4,e0)) = e4
| definitionFOFtoCNF_99 )
& ( op(e2,op(e2,e0)) != e0
| op(e4,op(e4,e0)) != e0
| op(e0,op(e3,e0)) = e3
| definitionFOFtoCNF_99 )
& ( op(e2,op(e2,e0)) != e0
| op(e0,op(e3,e0)) = e3
| op(e0,op(e4,e0)) = e4
| definitionFOFtoCNF_99 )
& ( op(e3,op(e3,e0)) != e0
| op(e4,op(e4,e0)) != e0
| op(e0,op(e2,e0)) = e2
| definitionFOFtoCNF_99 )
& ( op(e3,op(e3,e0)) != e0
| op(e0,op(e2,e0)) = e2
| op(e0,op(e4,e0)) = e4
| definitionFOFtoCNF_99 )
& ( op(e4,op(e4,e0)) != e0
| op(e0,op(e2,e0)) = e2
| op(e0,op(e3,e0)) = e3
| definitionFOFtoCNF_99 )
& ( op(e0,op(e2,e0)) = e2
| op(e0,op(e3,e0)) = e3
| op(e0,op(e4,e0)) = e4
| definitionFOFtoCNF_99 ) ),
inference(clausify,[],[normalize_23_19]) ).
fof(normalize_23_21,plain,
( op(e0,op(e2,e0)) = e2
| op(e0,op(e3,e0)) = e3
| op(e0,op(e4,e0)) = e4
| definitionFOFtoCNF_99 ),
inference(conjunct,[],[normalize_23_20]) ).
fof(normalize_23_22,plain,
op(e4,e0) != op(e4,e2),
inference(conjunct,[],[normalize_23_3]) ).
fof(normalize_23_23,plain,
op(e0,e1) != op(e0,e2),
inference(conjunct,[],[normalize_23_3]) ).
fof(normalize_23_24,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_25,plain,
op(e0,unit) = e0,
inference(conjunct,[],[normalize_23_24]) ).
fof(normalize_23_26,plain,
op(e1,e1) != op(e2,e1),
inference(conjunct,[],[normalize_23_3]) ).
fof(normalize_23_27,plain,
op(e2,e0) != op(e2,e1),
inference(conjunct,[],[normalize_23_3]) ).
fof(normalize_23_28,plain,
op(e2,unit) = e2,
inference(conjunct,[],[normalize_23_24]) ).
fof(normalize_23_29,plain,
op(unit,e0) = e0,
inference(conjunct,[],[normalize_23_24]) ).
fof(normalize_23_30,plain,
op(unit,e1) = e1,
inference(conjunct,[],[normalize_23_24]) ).
fof(normalize_23_31,plain,
op(unit,e3) = e3,
inference(conjunct,[],[normalize_23_24]) ).
fof(normalize_23_32,plain,
( unit = e0
| unit = e1
| unit = e2
| unit = e3
| unit = e4 ),
inference(conjunct,[],[normalize_23_24]) ).
fof(normalize_23_33,plain,
op(e2,e3) != op(e2,e4),
inference(conjunct,[],[normalize_23_3]) ).
fof(normalize_23_34,plain,
op(e3,e1) != op(e3,e4),
inference(conjunct,[],[normalize_23_3]) ).
fof(normalize_23_35,plain,
e1 = op(op(e2,op(e2,e2)),op(e2,e2)),
inference(conjunct,[],[normalize_23_7]) ).
fof(normalize_23_36,plain,
op(e4,e0) != op(e4,e4),
inference(conjunct,[],[normalize_23_3]) ).
fof(normalize_23_37,plain,
op(e0,e1) != op(e2,e1),
inference(conjunct,[],[normalize_23_3]) ).
fof(normalize_23_38,plain,
( op(e2,e1) = e0
| op(e2,e1) = e1
| op(e2,e1) = e2
| op(e2,e1) = e3
| op(e2,e1) = e4 ),
inference(conjunct,[],[normalize_23_10]) ).
fof(normalize_23_39,plain,
op(e2,e1) != op(e2,e2),
inference(conjunct,[],[normalize_23_3]) ).
fof(normalize_23_40,plain,
op(e2,e1) != op(e2,e4),
inference(conjunct,[],[normalize_23_3]) ).
fof(normalize_23_41,plain,
( ( op(e1,op(e1,e0)) != e0
| ~ definitionFOFtoCNF_99 )
& ( ~ definitionFOFtoCNF_99
| op(e0,op(e1,e0)) = e1 )
& ( op(e0,op(e1,e0)) != e1
| op(e1,op(e1,e0)) = e0
| definitionFOFtoCNF_99 ) ),
inference(clausify,[],[normalize_23_18]) ).
fof(normalize_23_42,plain,
( op(e0,op(e1,e0)) != e1
| op(e1,op(e1,e0)) = e0
| definitionFOFtoCNF_99 ),
inference(conjunct,[],[normalize_23_41]) ).
fof(normalize_23_43,plain,
op(e1,unit) = e1,
inference(conjunct,[],[normalize_23_24]) ).
fof(normalize_23_44,plain,
op(e0,e4) != op(e1,e4),
inference(conjunct,[],[normalize_23_3]) ).
fof(normalize_23_45,plain,
( op(e1,e4) = e0
| op(e1,e4) = e1
| op(e1,e4) = e2
| op(e1,e4) = e3
| op(e1,e4) = e4 ),
inference(conjunct,[],[normalize_23_10]) ).
fof(normalize_23_46,plain,
op(e1,e4) != op(e4,e4),
inference(conjunct,[],[normalize_23_3]) ).
fof(normalize_23_47,plain,
op(e1,e4) != op(e3,e4),
inference(conjunct,[],[normalize_23_3]) ).
fof(normalize_23_48,plain,
op(e1,e4) != op(e2,e4),
inference(conjunct,[],[normalize_23_3]) ).
fof(normalize_23_49,plain,
op(e0,e2) != op(e0,e4),
inference(conjunct,[],[normalize_23_3]) ).
fof(normalize_23_50,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_10]) ).
fof(normalize_23_51,plain,
op(e0,e4) != op(e4,e4),
inference(conjunct,[],[normalize_23_3]) ).
fof(normalize_23_52,plain,
op(e0,e4) != op(e3,e4),
inference(conjunct,[],[normalize_23_3]) ).
fof(normalize_23_53,plain,
op(e0,e4) != op(e2,e4),
inference(conjunct,[],[normalize_23_3]) ).
fof(normalize_23_54,plain,
( op(e0,e2) = e0
| op(e0,e2) = e1
| op(e0,e2) = e2
| op(e0,e2) = e3
| op(e0,e2) = e4 ),
inference(conjunct,[],[normalize_23_10]) ).
fof(normalize_23_55,plain,
op(e0,e2) != op(e2,e2),
inference(conjunct,[],[normalize_23_3]) ).
fof(normalize_23_56,plain,
op(unit,e4) = e4,
inference(conjunct,[],[normalize_23_24]) ).
fof(normalize_23_57,plain,
e2 != e4,
inference(conjunct,[],[normalize_23_15]) ).
fof(normalize_23_58,plain,
op(e1,e2) != op(e4,e2),
inference(conjunct,[],[normalize_23_3]) ).
fof(normalize_23_59,plain,
op(unit,e2) = e2,
inference(conjunct,[],[normalize_23_24]) ).
fof(normalize_23_60,plain,
op(e4,e0) != op(e4,e1),
inference(conjunct,[],[normalize_23_3]) ).
fof(normalize_23_61,plain,
op(e4,unit) = e4,
inference(conjunct,[],[normalize_23_24]) ).
fof(normalize_23_62,plain,
op(e2,e0) != op(e4,e0),
inference(conjunct,[],[normalize_23_3]) ).
fof(normalize_23_63,plain,
op(e1,e0) != op(e2,e0),
inference(conjunct,[],[normalize_23_3]) ).
fof(normalize_23_64,plain,
( op(e2,e0) = e0
| op(e2,e0) = e1
| op(e2,e0) = e2
| op(e2,e0) = e3
| op(e2,e0) = e4 ),
inference(conjunct,[],[normalize_23_10]) ).
fof(normalize_23_65,plain,
op(e2,e0) != op(e2,e2),
inference(conjunct,[],[normalize_23_3]) ).
fof(normalize_23_66,plain,
op(e2,e0) != op(e2,e4),
inference(conjunct,[],[normalize_23_3]) ).
fof(normalize_23_67,plain,
( op(e4,e0) = e0
| op(e4,e0) = e1
| op(e4,e0) = e2
| op(e4,e0) = e3
| op(e4,e0) = e4 ),
inference(conjunct,[],[normalize_23_10]) ).
fof(normalize_23_68,plain,
op(e3,e0) != op(e4,e0),
inference(conjunct,[],[normalize_23_3]) ).
fof(normalize_23_69,plain,
op(e3,e0) != op(e3,e1),
inference(conjunct,[],[normalize_23_3]) ).
fof(normalize_23_70,plain,
op(e3,unit) = e3,
inference(conjunct,[],[normalize_23_24]) ).
fof(normalize_23_71,plain,
op(e1,e0) != op(e3,e0),
inference(conjunct,[],[normalize_23_3]) ).
fof(normalize_23_72,plain,
( op(e3,e0) = e0
| op(e3,e0) = e1
| op(e3,e0) = e2
| op(e3,e0) = e3
| op(e3,e0) = e4 ),
inference(conjunct,[],[normalize_23_10]) ).
fof(normalize_23_73,plain,
op(e3,e0) != op(e3,e4),
inference(conjunct,[],[normalize_23_3]) ).
fof(normalize_23_74,plain,
( ~ definitionFOFtoCNF_96
<=> ( op(e2,op(e0,e2)) != e0
| op(e0,op(e0,e2)) = e2 ) ),
inference(canonicalize,[],[definition_8]) ).
fof(normalize_23_75,plain,
( ( op(e0,op(e0,e2)) != e2
| ~ definitionFOFtoCNF_96 )
& ( ~ definitionFOFtoCNF_96
| op(e2,op(e0,e2)) = e0 )
& ( op(e2,op(e0,e2)) != e0
| op(e0,op(e0,e2)) = e2
| definitionFOFtoCNF_96 ) ),
inference(clausify,[],[normalize_23_74]) ).
fof(normalize_23_76,plain,
( op(e0,op(e0,e2)) != e2
| ~ definitionFOFtoCNF_96 ),
inference(conjunct,[],[normalize_23_75]) ).
fof(normalize_23_77,plain,
op(e4,e0) != op(e4,e3),
inference(conjunct,[],[normalize_23_3]) ).
fof(normalize_23_78,plain,
( op(e1,op(e1,e0)) != e0
| ~ definitionFOFtoCNF_99 ),
inference(conjunct,[],[normalize_23_41]) ).
fof(normalize_23_79,plain,
( ( op(e0,op(e0,e2)) != e2
& op(e2,op(e0,e2)) = e0 )
| ( op(e1,op(e1,e2)) != e2
& op(e2,op(e1,e2)) = e1 )
| ( op(e3,op(e3,e2)) != e2
& op(e2,op(e3,e2)) = e3 )
| ( op(e4,op(e4,e2)) != e2
& op(e2,op(e4,e2)) = e4 ) ),
inference(conjunct,[],[normalize_23_5]) ).
fof(normalize_23_80,plain,
( definitionFOFtoCNF_96
| ( op(e1,op(e1,e2)) != e2
& op(e2,op(e1,e2)) = e1 )
| ( op(e3,op(e3,e2)) != e2
& op(e2,op(e3,e2)) = e3 )
| ( op(e4,op(e4,e2)) != e2
& op(e2,op(e4,e2)) = e4 ) ),
inference(simplify,[],[normalize_23_79,normalize_23_74]) ).
fof(normalize_23_81,plain,
( ( op(e1,op(e1,e2)) != e2
| op(e3,op(e3,e2)) != e2
| op(e4,op(e4,e2)) != e2
| definitionFOFtoCNF_96 )
& ( op(e1,op(e1,e2)) != e2
| op(e3,op(e3,e2)) != e2
| op(e2,op(e4,e2)) = e4
| definitionFOFtoCNF_96 )
& ( op(e1,op(e1,e2)) != e2
| op(e4,op(e4,e2)) != e2
| op(e2,op(e3,e2)) = e3
| definitionFOFtoCNF_96 )
& ( op(e1,op(e1,e2)) != e2
| op(e2,op(e3,e2)) = e3
| op(e2,op(e4,e2)) = e4
| definitionFOFtoCNF_96 )
& ( op(e3,op(e3,e2)) != e2
| op(e4,op(e4,e2)) != e2
| op(e2,op(e1,e2)) = e1
| definitionFOFtoCNF_96 )
& ( op(e3,op(e3,e2)) != e2
| op(e2,op(e1,e2)) = e1
| op(e2,op(e4,e2)) = e4
| definitionFOFtoCNF_96 )
& ( op(e4,op(e4,e2)) != e2
| op(e2,op(e1,e2)) = e1
| op(e2,op(e3,e2)) = e3
| definitionFOFtoCNF_96 )
& ( op(e2,op(e1,e2)) = e1
| op(e2,op(e3,e2)) = e3
| op(e2,op(e4,e2)) = e4
| definitionFOFtoCNF_96 ) ),
inference(clausify,[],[normalize_23_80]) ).
fof(normalize_23_82,plain,
( op(e1,op(e1,e2)) != e2
| op(e2,op(e3,e2)) = e3
| op(e2,op(e4,e2)) = e4
| definitionFOFtoCNF_96 ),
inference(conjunct,[],[normalize_23_81]) ).
fof(normalize_23_83,plain,
op(e1,e2) != op(e3,e2),
inference(conjunct,[],[normalize_23_3]) ).
fof(normalize_23_84,plain,
op(e3,e1) != op(e3,e2),
inference(conjunct,[],[normalize_23_3]) ).
fof(normalize_23_85,plain,
( op(e3,e2) = e0
| op(e3,e2) = e1
| op(e3,e2) = e2
| op(e3,e2) = e3
| op(e3,e2) = e4 ),
inference(conjunct,[],[normalize_23_10]) ).
fof(normalize_23_86,plain,
op(e2,e2) != op(e3,e2),
inference(conjunct,[],[normalize_23_3]) ).
fof(normalize_23_87,plain,
op(e3,e2) != op(e3,e4),
inference(conjunct,[],[normalize_23_3]) ).
fof(normalize_23_88,plain,
op(e2,e2) != op(e2,e3),
inference(conjunct,[],[normalize_23_3]) ).
fof(normalize_23_89,plain,
op(e0,e3) != op(e4,e3),
inference(conjunct,[],[normalize_23_3]) ).
fof(normalize_23_90,plain,
op(op(e4,e3),e3) = e4,
inference(conjunct,[],[normalize_23_5]) ).
fof(normalize_23_91,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_10]) ).
fof(normalize_23_92,plain,
op(e4,e3) != op(e4,e4),
inference(conjunct,[],[normalize_23_3]) ).
fof(normalize_23_93,plain,
op(e3,e4) != op(e4,e3),
inference(conjunct,[],[normalize_23_5]) ).
fof(normalize_23_94,plain,
e0 != e2,
inference(conjunct,[],[normalize_23_15]) ).
fof(normalize_23_95,plain,
e0 != e1,
inference(conjunct,[],[normalize_23_15]) ).
fof(normalize_23_96,plain,
( op(op(e4,e1),e1) != e4
| op(e1,e4) = op(e4,e1)
| op(op(e4,e1),e4) = e1 ),
inference(conjunct,[],[normalize_23_5]) ).
fof(normalize_23_97,plain,
( ( op(e0,op(e0,e4)) != e4
& op(e4,op(e0,e4)) = e0 )
| ( op(e1,op(e1,e4)) != e4
& op(e4,op(e1,e4)) = e1 )
| ( op(e2,op(e2,e4)) != e4
& op(e4,op(e2,e4)) = e2 )
| ( op(e3,op(e3,e4)) != e4
& op(e4,op(e3,e4)) = e3 ) ),
inference(conjunct,[],[normalize_23_5]) ).
fof(normalize_23_98,plain,
( definitionFOFtoCNF_98
| ( op(e1,op(e1,e4)) != e4
& op(e4,op(e1,e4)) = e1 )
| ( op(e2,op(e2,e4)) != e4
& op(e4,op(e2,e4)) = e2 )
| ( op(e3,op(e3,e4)) != e4
& op(e4,op(e3,e4)) = e3 ) ),
inference(simplify,[],[normalize_23_97,normalize_23_0]) ).
fof(normalize_23_99,plain,
( ( op(e1,op(e1,e4)) != e4
| op(e2,op(e2,e4)) != e4
| op(e3,op(e3,e4)) != e4
| definitionFOFtoCNF_98 )
& ( op(e1,op(e1,e4)) != e4
| op(e2,op(e2,e4)) != e4
| op(e4,op(e3,e4)) = e3
| definitionFOFtoCNF_98 )
& ( op(e1,op(e1,e4)) != e4
| op(e3,op(e3,e4)) != e4
| op(e4,op(e2,e4)) = e2
| definitionFOFtoCNF_98 )
& ( op(e1,op(e1,e4)) != e4
| op(e4,op(e2,e4)) = e2
| op(e4,op(e3,e4)) = e3
| definitionFOFtoCNF_98 )
& ( op(e2,op(e2,e4)) != e4
| op(e3,op(e3,e4)) != e4
| op(e4,op(e1,e4)) = e1
| definitionFOFtoCNF_98 )
& ( op(e2,op(e2,e4)) != e4
| op(e4,op(e1,e4)) = e1
| op(e4,op(e3,e4)) = e3
| definitionFOFtoCNF_98 )
& ( op(e3,op(e3,e4)) != e4
| op(e4,op(e1,e4)) = e1
| op(e4,op(e2,e4)) = e2
| definitionFOFtoCNF_98 )
& ( op(e4,op(e1,e4)) = e1
| op(e4,op(e2,e4)) = e2
| op(e4,op(e3,e4)) = e3
| definitionFOFtoCNF_98 ) ),
inference(clausify,[],[normalize_23_98]) ).
fof(normalize_23_100,plain,
( op(e1,op(e1,e4)) != e4
| op(e4,op(e2,e4)) = e2
| op(e4,op(e3,e4)) = e3
| definitionFOFtoCNF_98 ),
inference(conjunct,[],[normalize_23_99]) ).
cnf(refute_23_0,plain,
( ~ definitionFOFtoCNF_98
| op(e4,op(e0,e4)) = e0 ),
inference(canonicalize,[],[normalize_23_2]) ).
cnf(refute_23_1,plain,
op(e0,e2) != op(e4,e2),
inference(canonicalize,[],[normalize_23_4]) ).
cnf(refute_23_2,plain,
( op(op(e4,e2),e2) != e4
| op(e2,e4) = op(e4,e2)
| op(op(e4,e2),e4) = e2 ),
inference(canonicalize,[],[normalize_23_6]) ).
cnf(refute_23_3,plain,
e3 = op(e2,op(e2,e2)),
inference(canonicalize,[],[normalize_23_8]) ).
cnf(refute_23_4,plain,
e4 = op(e2,e2),
inference(canonicalize,[],[normalize_23_9]) ).
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( $equal(X,X) )],[refute_23_5,refute_23_6]) ).
cnf(refute_23_8,plain,
( e4 != op(e2,e2)
| op(e2,e2) = e4 ),
inference(subst,[],[refute_23_7:[bind(X,$fot(e4)),bind(Y,$fot(op(e2,e2)))]]) ).
cnf(refute_23_9,plain,
op(e2,e2) = e4,
inference(resolve,[$cnf( $equal(e4,op(e2,e2)) )],[refute_23_4,refute_23_8]) ).
cnf(refute_23_10,plain,
op(e2,op(e2,e2)) = op(e2,op(e2,e2)),
introduced(tautology,[refl,[$fot(op(e2,op(e2,e2)))]]) ).
cnf(refute_23_11,plain,
( op(e2,e2) != e4
| op(e2,op(e2,e2)) != op(e2,op(e2,e2))
| op(e2,op(e2,e2)) = op(e2,e4) ),
introduced(tautology,[equality,[$cnf( $equal(op(e2,op(e2,e2)),op(e2,op(e2,e2))) ),[1,1],$fot(e4)]]) ).
cnf(refute_23_12,plain,
( op(e2,e2) != e4
| op(e2,op(e2,e2)) = op(e2,e4) ),
inference(resolve,[$cnf( $equal(op(e2,op(e2,e2)),op(e2,op(e2,e2))) )],[refute_23_10,refute_23_11]) ).
cnf(refute_23_13,plain,
op(e2,op(e2,e2)) = op(e2,e4),
inference(resolve,[$cnf( $equal(op(e2,e2),e4) )],[refute_23_9,refute_23_12]) ).
cnf(refute_23_14,plain,
( e3 != op(e2,op(e2,e2))
| op(e2,op(e2,e2)) != op(e2,e4)
| e3 = op(e2,e4) ),
introduced(tautology,[equality,[$cnf( ~ $equal(e3,op(e2,e4)) ),[0],$fot(op(e2,op(e2,e2)))]]) ).
cnf(refute_23_15,plain,
( e3 != op(e2,op(e2,e2))
| e3 = op(e2,e4) ),
inference(resolve,[$cnf( $equal(op(e2,op(e2,e2)),op(e2,e4)) )],[refute_23_13,refute_23_14]) ).
cnf(refute_23_16,plain,
e3 = op(e2,e4),
inference(resolve,[$cnf( $equal(e3,op(e2,op(e2,e2))) )],[refute_23_3,refute_23_15]) ).
cnf(refute_23_17,plain,
( e3 != op(e2,e4)
| op(e2,e4) = e3 ),
inference(subst,[],[refute_23_7:[bind(X,$fot(e3)),bind(Y,$fot(op(e2,e4)))]]) ).
cnf(refute_23_18,plain,
op(e2,e4) = e3,
inference(resolve,[$cnf( $equal(e3,op(e2,e4)) )],[refute_23_16,refute_23_17]) ).
cnf(refute_23_19,plain,
( op(e2,e4) != e3
| op(e2,e4) != op(e4,e2)
| e3 = op(e4,e2) ),
introduced(tautology,[equality,[$cnf( $equal(op(e2,e4),op(e4,e2)) ),[0],$fot(e3)]]) ).
cnf(refute_23_20,plain,
( op(e2,e4) != op(e4,e2)
| e3 = op(e4,e2) ),
inference(resolve,[$cnf( $equal(op(e2,e4),e3) )],[refute_23_18,refute_23_19]) ).
cnf(refute_23_21,plain,
( op(op(e4,e2),e2) != e4
| e3 = op(e4,e2)
| op(op(e4,e2),e4) = e2 ),
inference(resolve,[$cnf( $equal(op(e2,e4),op(e4,e2)) )],[refute_23_2,refute_23_20]) ).
cnf(refute_23_22,plain,
( op(e4,e2) = e0
| op(e4,e2) = e1
| op(e4,e2) = e2
| op(e4,e2) = e3
| op(e4,e2) = e4 ),
inference(canonicalize,[],[normalize_23_11]) ).
cnf(refute_23_23,plain,
op(e2,e2) != op(e4,e2),
inference(canonicalize,[],[normalize_23_12]) ).
cnf(refute_23_24,plain,
( e4 != op(e4,e2)
| op(e2,e2) != e4
| op(e2,e2) = op(e4,e2) ),
introduced(tautology,[equality,[$cnf( $equal(op(e2,e2),e4) ),[1],$fot(op(e4,e2))]]) ).
cnf(refute_23_25,plain,
( e4 != op(e4,e2)
| op(e2,e2) = op(e4,e2) ),
inference(resolve,[$cnf( $equal(op(e2,e2),e4) )],[refute_23_9,refute_23_24]) ).
cnf(refute_23_26,plain,
e4 != op(e4,e2),
inference(resolve,[$cnf( $equal(op(e2,e2),op(e4,e2)) )],[refute_23_25,refute_23_23]) ).
cnf(refute_23_27,plain,
( op(e4,e2) != e4
| e4 = op(e4,e2) ),
inference(subst,[],[refute_23_7:[bind(X,$fot(op(e4,e2))),bind(Y,$fot(e4))]]) ).
cnf(refute_23_28,plain,
op(e4,e2) != e4,
inference(resolve,[$cnf( $equal(e4,op(e4,e2)) )],[refute_23_27,refute_23_26]) ).
cnf(refute_23_29,plain,
( op(e4,e2) = e0
| op(e4,e2) = e1
| op(e4,e2) = e2
| op(e4,e2) = e3 ),
inference(resolve,[$cnf( $equal(op(e4,e2),e4) )],[refute_23_22,refute_23_28]) ).
cnf(refute_23_30,plain,
op(e4,e2) != op(e4,e4),
inference(canonicalize,[],[normalize_23_13]) ).
cnf(refute_23_31,plain,
e0 = op(op(e2,e2),op(e2,e2)),
inference(canonicalize,[],[normalize_23_14]) ).
cnf(refute_23_32,plain,
op(e4,op(e2,e2)) = op(e4,op(e2,e2)),
introduced(tautology,[refl,[$fot(op(e4,op(e2,e2)))]]) ).
cnf(refute_23_33,plain,
( op(e2,e2) != e4
| op(e4,op(e2,e2)) != op(e4,op(e2,e2))
| op(e4,op(e2,e2)) = op(e4,e4) ),
introduced(tautology,[equality,[$cnf( $equal(op(e4,op(e2,e2)),op(e4,op(e2,e2))) ),[1,1],$fot(e4)]]) ).
cnf(refute_23_34,plain,
( op(e2,e2) != e4
| op(e4,op(e2,e2)) = op(e4,e4) ),
inference(resolve,[$cnf( $equal(op(e4,op(e2,e2)),op(e4,op(e2,e2))) )],[refute_23_32,refute_23_33]) ).
cnf(refute_23_35,plain,
op(e4,op(e2,e2)) = op(e4,e4),
inference(resolve,[$cnf( $equal(op(e2,e2),e4) )],[refute_23_9,refute_23_34]) ).
cnf(refute_23_36,plain,
op(op(e2,e2),op(e2,e2)) = op(op(e2,e2),op(e2,e2)),
introduced(tautology,[refl,[$fot(op(op(e2,e2),op(e2,e2)))]]) ).
cnf(refute_23_37,plain,
( op(e2,e2) != e4
| op(op(e2,e2),op(e2,e2)) != op(op(e2,e2),op(e2,e2))
| op(op(e2,e2),op(e2,e2)) = op(e4,op(e2,e2)) ),
introduced(tautology,[equality,[$cnf( $equal(op(op(e2,e2),op(e2,e2)),op(op(e2,e2),op(e2,e2))) ),[1,0],$fot(e4)]]) ).
cnf(refute_23_38,plain,
( op(e2,e2) != e4
| op(op(e2,e2),op(e2,e2)) = op(e4,op(e2,e2)) ),
inference(resolve,[$cnf( $equal(op(op(e2,e2),op(e2,e2)),op(op(e2,e2),op(e2,e2))) )],[refute_23_36,refute_23_37]) ).
cnf(refute_23_39,plain,
op(op(e2,e2),op(e2,e2)) = op(e4,op(e2,e2)),
inference(resolve,[$cnf( $equal(op(e2,e2),e4) )],[refute_23_9,refute_23_38]) ).
cnf(refute_23_40,plain,
( Y != X
| Y != Z
| X = Z ),
introduced(tautology,[equality,[$cnf( $equal(Y,Z) ),[0],$fot(X)]]) ).
cnf(refute_23_41,plain,
( X != Y
| Y != Z
| X = Z ),
inference(resolve,[$cnf( $equal(Y,X) )],[refute_23_7,refute_23_40]) ).
cnf(refute_23_42,plain,
( op(e4,op(e2,e2)) != op(e4,e4)
| op(op(e2,e2),op(e2,e2)) != op(e4,op(e2,e2))
| op(op(e2,e2),op(e2,e2)) = op(e4,e4) ),
inference(subst,[],[refute_23_41:[bind(X,$fot(op(op(e2,e2),op(e2,e2)))),bind(Y,$fot(op(e4,op(e2,e2)))),bind(Z,$fot(op(e4,e4)))]]) ).
cnf(refute_23_43,plain,
( op(e4,op(e2,e2)) != op(e4,e4)
| op(op(e2,e2),op(e2,e2)) = op(e4,e4) ),
inference(resolve,[$cnf( $equal(op(op(e2,e2),op(e2,e2)),op(e4,op(e2,e2))) )],[refute_23_39,refute_23_42]) ).
cnf(refute_23_44,plain,
op(op(e2,e2),op(e2,e2)) = op(e4,e4),
inference(resolve,[$cnf( $equal(op(e4,op(e2,e2)),op(e4,e4)) )],[refute_23_35,refute_23_43]) ).
cnf(refute_23_45,plain,
( e0 != op(op(e2,e2),op(e2,e2))
| op(op(e2,e2),op(e2,e2)) != op(e4,e4)
| e0 = op(e4,e4) ),
introduced(tautology,[equality,[$cnf( ~ $equal(e0,op(e4,e4)) ),[0],$fot(op(op(e2,e2),op(e2,e2)))]]) ).
cnf(refute_23_46,plain,
( e0 != op(op(e2,e2),op(e2,e2))
| e0 = op(e4,e4) ),
inference(resolve,[$cnf( $equal(op(op(e2,e2),op(e2,e2)),op(e4,e4)) )],[refute_23_44,refute_23_45]) ).
cnf(refute_23_47,plain,
e0 = op(e4,e4),
inference(resolve,[$cnf( $equal(e0,op(op(e2,e2),op(e2,e2))) )],[refute_23_31,refute_23_46]) ).
cnf(refute_23_48,plain,
( e0 != op(e4,e4)
| op(e4,e4) = e0 ),
inference(subst,[],[refute_23_7:[bind(X,$fot(e0)),bind(Y,$fot(op(e4,e4)))]]) ).
cnf(refute_23_49,plain,
op(e4,e4) = e0,
inference(resolve,[$cnf( $equal(e0,op(e4,e4)) )],[refute_23_47,refute_23_48]) ).
cnf(refute_23_50,plain,
( op(e4,e2) != e0
| op(e4,e4) != e0
| op(e4,e2) = op(e4,e4) ),
introduced(tautology,[equality,[$cnf( ~ $equal(op(e4,e2),op(e4,e4)) ),[1],$fot(e0)]]) ).
cnf(refute_23_51,plain,
( op(e4,e2) != e0
| op(e4,e2) = op(e4,e4) ),
inference(resolve,[$cnf( $equal(op(e4,e4),e0) )],[refute_23_49,refute_23_50]) ).
cnf(refute_23_52,plain,
op(e4,e2) != e0,
inference(resolve,[$cnf( $equal(op(e4,e2),op(e4,e4)) )],[refute_23_51,refute_23_30]) ).
cnf(refute_23_53,plain,
( op(e4,e2) = e1
| op(e4,e2) = e2
| op(e4,e2) = e3 ),
inference(resolve,[$cnf( $equal(op(e4,e2),e0) )],[refute_23_29,refute_23_52]) ).
cnf(refute_23_54,plain,
( op(e2,e2) != e4
| op(e4,e2) != e2
| op(op(e4,e2),e2) = e4 ),
introduced(tautology,[equality,[$cnf( ~ $equal(op(op(e4,e2),e2),e4) ),[0,0],$fot(e2)]]) ).
cnf(refute_23_55,plain,
( op(e2,e2) != e4
| op(e4,e2) = e1
| op(e4,e2) = e3
| op(op(e4,e2),e2) = e4 ),
inference(resolve,[$cnf( $equal(op(e4,e2),e2) )],[refute_23_53,refute_23_54]) ).
cnf(refute_23_56,plain,
( op(e2,e2) != e4
| e3 = op(e4,e2)
| op(e4,e2) = e1
| op(e4,e2) = e3
| op(op(e4,e2),e4) = e2 ),
inference(resolve,[$cnf( $equal(op(op(e4,e2),e2),e4) )],[refute_23_55,refute_23_21]) ).
cnf(refute_23_57,plain,
( op(e4,e2) != e3
| e3 = op(e4,e2) ),
inference(subst,[],[refute_23_7:[bind(X,$fot(op(e4,e2))),bind(Y,$fot(e3))]]) ).
cnf(refute_23_58,plain,
( op(e2,e2) != e4
| e3 = op(e4,e2)
| op(e4,e2) = e1
| op(op(e4,e2),e4) = e2 ),
inference(resolve,[$cnf( $equal(op(e4,e2),e3) )],[refute_23_56,refute_23_57]) ).
cnf(refute_23_59,plain,
( e4 != e4
| op(e2,e2) != e4
| op(e2,e2) = e4 ),
introduced(tautology,[equality,[$cnf( $equal(op(e2,e2),e4) ),[1],$fot(e4)]]) ).
cnf(refute_23_60,plain,
( e4 != e4
| op(e2,e2) = e4 ),
inference(resolve,[$cnf( $equal(op(e2,e2),e4) )],[refute_23_9,refute_23_59]) ).
cnf(refute_23_61,plain,
( e4 != e4
| e3 = op(e4,e2)
| op(e4,e2) = e1
| op(op(e4,e2),e4) = e2 ),
inference(resolve,[$cnf( $equal(op(e2,e2),e4) )],[refute_23_60,refute_23_58]) ).
cnf(refute_23_62,plain,
e4 = e4,
introduced(tautology,[refl,[$fot(e4)]]) ).
cnf(refute_23_63,plain,
( e3 = op(e4,e2)
| op(e4,e2) = e1
| op(op(e4,e2),e4) = e2 ),
inference(resolve,[$cnf( $equal(e4,e4) )],[refute_23_62,refute_23_61]) ).
cnf(refute_23_64,plain,
( op(e4,e2) != e2
| op(op(e4,e2),e4) != e2
| op(e2,e4) = e2 ),
introduced(tautology,[equality,[$cnf( $equal(op(op(e4,e2),e4),e2) ),[0,0],$fot(e2)]]) ).
cnf(refute_23_65,plain,
( op(op(e4,e2),e4) != e2
| op(e2,e4) = e2
| op(e4,e2) = e1
| op(e4,e2) = e3 ),
inference(resolve,[$cnf( $equal(op(e4,e2),e2) )],[refute_23_53,refute_23_64]) ).
cnf(refute_23_66,plain,
( e3 = op(e4,e2)
| op(e2,e4) = e2
| op(e4,e2) = e1
| op(e4,e2) = e3 ),
inference(resolve,[$cnf( $equal(op(op(e4,e2),e4),e2) )],[refute_23_63,refute_23_65]) ).
cnf(refute_23_67,plain,
( e3 = op(e4,e2)
| op(e2,e4) = e2
| op(e4,e2) = e1 ),
inference(resolve,[$cnf( $equal(op(e4,e2),e3) )],[refute_23_66,refute_23_57]) ).
cnf(refute_23_68,plain,
( op(e2,e4) != e2
| op(e2,e4) != e3
| e3 = e2 ),
introduced(tautology,[equality,[$cnf( $equal(op(e2,e4),e2) ),[0],$fot(e3)]]) ).
cnf(refute_23_69,plain,
( op(e2,e4) != e2
| e3 = e2 ),
inference(resolve,[$cnf( $equal(op(e2,e4),e3) )],[refute_23_18,refute_23_68]) ).
cnf(refute_23_70,plain,
( e3 = e2
| e3 = op(e4,e2)
| op(e4,e2) = e1 ),
inference(resolve,[$cnf( $equal(op(e2,e4),e2) )],[refute_23_67,refute_23_69]) ).
cnf(refute_23_71,plain,
e2 != e3,
inference(canonicalize,[],[normalize_23_16]) ).
cnf(refute_23_72,plain,
( e3 != e2
| e2 = e3 ),
inference(subst,[],[refute_23_7:[bind(X,$fot(e3)),bind(Y,$fot(e2))]]) ).
cnf(refute_23_73,plain,
e3 != e2,
inference(resolve,[$cnf( $equal(e2,e3) )],[refute_23_72,refute_23_71]) ).
cnf(refute_23_74,plain,
( e3 = op(e4,e2)
| op(e4,e2) = e1 ),
inference(resolve,[$cnf( $equal(e3,e2) )],[refute_23_70,refute_23_73]) ).
cnf(refute_23_75,plain,
( e3 != op(e4,e2)
| op(e4,e2) = e3 ),
inference(subst,[],[refute_23_7:[bind(X,$fot(e3)),bind(Y,$fot(op(e4,e2)))]]) ).
cnf(refute_23_76,plain,
( op(e4,e2) = e1
| op(e4,e2) = e3 ),
inference(resolve,[$cnf( $equal(e3,op(e4,e2)) )],[refute_23_74,refute_23_75]) ).
cnf(refute_23_77,plain,
( op(e0,e2) != e3
| op(e4,e2) != e3
| op(e0,e2) = op(e4,e2) ),
introduced(tautology,[equality,[$cnf( ~ $equal(op(e0,e2),op(e4,e2)) ),[1],$fot(e3)]]) ).
cnf(refute_23_78,plain,
( op(e0,e2) != e3
| op(e0,e2) = op(e4,e2)
| op(e4,e2) = e1 ),
inference(resolve,[$cnf( $equal(op(e4,e2),e3) )],[refute_23_76,refute_23_77]) ).
cnf(refute_23_79,plain,
( op(e0,e2) != e3
| op(e4,e2) = e1 ),
inference(resolve,[$cnf( $equal(op(e0,e2),op(e4,e2)) )],[refute_23_78,refute_23_1]) ).
cnf(refute_23_80,plain,
( op(e0,op(e2,e0)) = e2
| op(e0,op(e3,e0)) = e3
| op(e0,op(e4,e0)) = e4
| definitionFOFtoCNF_99 ),
inference(canonicalize,[],[normalize_23_21]) ).
cnf(refute_23_81,plain,
op(e4,e0) != op(e4,e2),
inference(canonicalize,[],[normalize_23_22]) ).
cnf(refute_23_82,plain,
op(e0,e1) != op(e0,e2),
inference(canonicalize,[],[normalize_23_23]) ).
cnf(refute_23_83,plain,
op(e0,unit) = e0,
inference(canonicalize,[],[normalize_23_25]) ).
cnf(refute_23_84,plain,
op(e1,e1) != op(e2,e1),
inference(canonicalize,[],[normalize_23_26]) ).
cnf(refute_23_85,plain,
op(e2,e0) != op(e2,e1),
inference(canonicalize,[],[normalize_23_27]) ).
cnf(refute_23_86,plain,
op(e2,unit) = e2,
inference(canonicalize,[],[normalize_23_28]) ).
cnf(refute_23_87,plain,
op(unit,e0) = e0,
inference(canonicalize,[],[normalize_23_29]) ).
cnf(refute_23_88,plain,
op(unit,e1) = e1,
inference(canonicalize,[],[normalize_23_30]) ).
cnf(refute_23_89,plain,
op(unit,e3) = e3,
inference(canonicalize,[],[normalize_23_31]) ).
cnf(refute_23_90,plain,
( unit = e0
| unit = e1
| unit = e2
| unit = e3
| unit = e4 ),
inference(canonicalize,[],[normalize_23_32]) ).
cnf(refute_23_91,plain,
( op(unit,e3) != e3
| unit != e2
| op(e2,e3) = e3 ),
introduced(tautology,[equality,[$cnf( $equal(op(unit,e3),e3) ),[0,0],$fot(e2)]]) ).
cnf(refute_23_92,plain,
( op(unit,e3) != e3
| op(e2,e3) = e3
| unit = e0
| unit = e1
| unit = e3
| unit = e4 ),
inference(resolve,[$cnf( $equal(unit,e2) )],[refute_23_90,refute_23_91]) ).
cnf(refute_23_93,plain,
( op(e2,e3) = e3
| unit = e0
| unit = e1
| unit = e3
| unit = e4 ),
inference(resolve,[$cnf( $equal(op(unit,e3),e3) )],[refute_23_89,refute_23_92]) ).
cnf(refute_23_94,plain,
op(e2,e3) != op(e2,e4),
inference(canonicalize,[],[normalize_23_33]) ).
cnf(refute_23_95,plain,
( op(e2,e3) != e3
| op(e2,e4) != e3
| op(e2,e3) = op(e2,e4) ),
introduced(tautology,[equality,[$cnf( ~ $equal(op(e2,e3),op(e2,e4)) ),[1],$fot(e3)]]) ).
cnf(refute_23_96,plain,
( op(e2,e3) != e3
| op(e2,e3) = op(e2,e4) ),
inference(resolve,[$cnf( $equal(op(e2,e4),e3) )],[refute_23_18,refute_23_95]) ).
cnf(refute_23_97,plain,
op(e2,e3) != e3,
inference(resolve,[$cnf( $equal(op(e2,e3),op(e2,e4)) )],[refute_23_96,refute_23_94]) ).
cnf(refute_23_98,plain,
( unit = e0
| unit = e1
| unit = e3
| unit = e4 ),
inference(resolve,[$cnf( $equal(op(e2,e3),e3) )],[refute_23_93,refute_23_97]) ).
cnf(refute_23_99,plain,
( op(unit,e1) != e1
| unit != e3
| op(e3,e1) = e1 ),
introduced(tautology,[equality,[$cnf( $equal(op(unit,e1),e1) ),[0,0],$fot(e3)]]) ).
cnf(refute_23_100,plain,
( op(unit,e1) != e1
| op(e3,e1) = e1
| unit = e0
| unit = e1
| unit = e4 ),
inference(resolve,[$cnf( $equal(unit,e3) )],[refute_23_98,refute_23_99]) ).
cnf(refute_23_101,plain,
( op(e3,e1) = e1
| unit = e0
| unit = e1
| unit = e4 ),
inference(resolve,[$cnf( $equal(op(unit,e1),e1) )],[refute_23_88,refute_23_100]) ).
cnf(refute_23_102,plain,
op(e3,e1) != op(e3,e4),
inference(canonicalize,[],[normalize_23_34]) ).
cnf(refute_23_103,plain,
e1 = op(op(e2,op(e2,e2)),op(e2,e2)),
inference(canonicalize,[],[normalize_23_35]) ).
cnf(refute_23_104,plain,
op(e3,op(e2,e2)) = op(e3,op(e2,e2)),
introduced(tautology,[refl,[$fot(op(e3,op(e2,e2)))]]) ).
cnf(refute_23_105,plain,
( op(e2,e2) != e4
| op(e3,op(e2,e2)) != op(e3,op(e2,e2))
| op(e3,op(e2,e2)) = op(e3,e4) ),
introduced(tautology,[equality,[$cnf( $equal(op(e3,op(e2,e2)),op(e3,op(e2,e2))) ),[1,1],$fot(e4)]]) ).
cnf(refute_23_106,plain,
( op(e2,e2) != e4
| op(e3,op(e2,e2)) = op(e3,e4) ),
inference(resolve,[$cnf( $equal(op(e3,op(e2,e2)),op(e3,op(e2,e2))) )],[refute_23_104,refute_23_105]) ).
cnf(refute_23_107,plain,
op(e3,op(e2,e2)) = op(e3,e4),
inference(resolve,[$cnf( $equal(op(e2,e2),e4) )],[refute_23_9,refute_23_106]) ).
cnf(refute_23_108,plain,
( e3 != op(e2,op(e2,e2))
| op(e2,op(e2,e2)) = e3 ),
inference(subst,[],[refute_23_7:[bind(X,$fot(e3)),bind(Y,$fot(op(e2,op(e2,e2))))]]) ).
cnf(refute_23_109,plain,
op(e2,op(e2,e2)) = e3,
inference(resolve,[$cnf( $equal(e3,op(e2,op(e2,e2))) )],[refute_23_3,refute_23_108]) ).
cnf(refute_23_110,plain,
op(op(e2,op(e2,e2)),op(e2,e2)) = op(op(e2,op(e2,e2)),op(e2,e2)),
introduced(tautology,[refl,[$fot(op(op(e2,op(e2,e2)),op(e2,e2)))]]) ).
cnf(refute_23_111,plain,
( op(e2,op(e2,e2)) != e3
| op(op(e2,op(e2,e2)),op(e2,e2)) != op(op(e2,op(e2,e2)),op(e2,e2))
| op(op(e2,op(e2,e2)),op(e2,e2)) = op(e3,op(e2,e2)) ),
introduced(tautology,[equality,[$cnf( $equal(op(op(e2,op(e2,e2)),op(e2,e2)),op(op(e2,op(e2,e2)),op(e2,e2))) ),[1,0],$fot(e3)]]) ).
cnf(refute_23_112,plain,
( op(e2,op(e2,e2)) != e3
| op(op(e2,op(e2,e2)),op(e2,e2)) = op(e3,op(e2,e2)) ),
inference(resolve,[$cnf( $equal(op(op(e2,op(e2,e2)),op(e2,e2)),op(op(e2,op(e2,e2)),op(e2,e2))) )],[refute_23_110,refute_23_111]) ).
cnf(refute_23_113,plain,
op(op(e2,op(e2,e2)),op(e2,e2)) = op(e3,op(e2,e2)),
inference(resolve,[$cnf( $equal(op(e2,op(e2,e2)),e3) )],[refute_23_109,refute_23_112]) ).
cnf(refute_23_114,plain,
( op(e3,op(e2,e2)) != op(e3,e4)
| op(op(e2,op(e2,e2)),op(e2,e2)) != op(e3,op(e2,e2))
| op(op(e2,op(e2,e2)),op(e2,e2)) = op(e3,e4) ),
inference(subst,[],[refute_23_41:[bind(X,$fot(op(op(e2,op(e2,e2)),op(e2,e2)))),bind(Y,$fot(op(e3,op(e2,e2)))),bind(Z,$fot(op(e3,e4)))]]) ).
cnf(refute_23_115,plain,
( op(e3,op(e2,e2)) != op(e3,e4)
| op(op(e2,op(e2,e2)),op(e2,e2)) = op(e3,e4) ),
inference(resolve,[$cnf( $equal(op(op(e2,op(e2,e2)),op(e2,e2)),op(e3,op(e2,e2))) )],[refute_23_113,refute_23_114]) ).
cnf(refute_23_116,plain,
op(op(e2,op(e2,e2)),op(e2,e2)) = op(e3,e4),
inference(resolve,[$cnf( $equal(op(e3,op(e2,e2)),op(e3,e4)) )],[refute_23_107,refute_23_115]) ).
cnf(refute_23_117,plain,
( e1 != op(op(e2,op(e2,e2)),op(e2,e2))
| op(op(e2,op(e2,e2)),op(e2,e2)) != op(e3,e4)
| e1 = op(e3,e4) ),
introduced(tautology,[equality,[$cnf( ~ $equal(e1,op(e3,e4)) ),[0],$fot(op(op(e2,op(e2,e2)),op(e2,e2)))]]) ).
cnf(refute_23_118,plain,
( e1 != op(op(e2,op(e2,e2)),op(e2,e2))
| e1 = op(e3,e4) ),
inference(resolve,[$cnf( $equal(op(op(e2,op(e2,e2)),op(e2,e2)),op(e3,e4)) )],[refute_23_116,refute_23_117]) ).
cnf(refute_23_119,plain,
e1 = op(e3,e4),
inference(resolve,[$cnf( $equal(e1,op(op(e2,op(e2,e2)),op(e2,e2))) )],[refute_23_103,refute_23_118]) ).
cnf(refute_23_120,plain,
( e1 != op(e3,e4)
| op(e3,e4) = e1 ),
inference(subst,[],[refute_23_7:[bind(X,$fot(e1)),bind(Y,$fot(op(e3,e4)))]]) ).
cnf(refute_23_121,plain,
op(e3,e4) = e1,
inference(resolve,[$cnf( $equal(e1,op(e3,e4)) )],[refute_23_119,refute_23_120]) ).
cnf(refute_23_122,plain,
( op(e3,e1) != e1
| op(e3,e4) != e1
| op(e3,e1) = op(e3,e4) ),
introduced(tautology,[equality,[$cnf( ~ $equal(op(e3,e1),op(e3,e4)) ),[1],$fot(e1)]]) ).
cnf(refute_23_123,plain,
( op(e3,e1) != e1
| op(e3,e1) = op(e3,e4) ),
inference(resolve,[$cnf( $equal(op(e3,e4),e1) )],[refute_23_121,refute_23_122]) ).
cnf(refute_23_124,plain,
op(e3,e1) != e1,
inference(resolve,[$cnf( $equal(op(e3,e1),op(e3,e4)) )],[refute_23_123,refute_23_102]) ).
cnf(refute_23_125,plain,
( unit = e0
| unit = e1
| unit = e4 ),
inference(resolve,[$cnf( $equal(op(e3,e1),e1) )],[refute_23_101,refute_23_124]) ).
cnf(refute_23_126,plain,
( op(unit,e0) != e0
| unit != e4
| op(e4,e0) = e0 ),
introduced(tautology,[equality,[$cnf( $equal(op(unit,e0),e0) ),[0,0],$fot(e4)]]) ).
cnf(refute_23_127,plain,
( op(unit,e0) != e0
| op(e4,e0) = e0
| unit = e0
| unit = e1 ),
inference(resolve,[$cnf( $equal(unit,e4) )],[refute_23_125,refute_23_126]) ).
cnf(refute_23_128,plain,
( op(e4,e0) = e0
| unit = e0
| unit = e1 ),
inference(resolve,[$cnf( $equal(op(unit,e0),e0) )],[refute_23_87,refute_23_127]) ).
cnf(refute_23_129,plain,
op(e4,e0) != op(e4,e4),
inference(canonicalize,[],[normalize_23_36]) ).
cnf(refute_23_130,plain,
( op(e4,e0) != e0
| op(e4,e4) != e0
| op(e4,e0) = op(e4,e4) ),
introduced(tautology,[equality,[$cnf( ~ $equal(op(e4,e0),op(e4,e4)) ),[1],$fot(e0)]]) ).
cnf(refute_23_131,plain,
( op(e4,e0) != e0
| op(e4,e0) = op(e4,e4) ),
inference(resolve,[$cnf( $equal(op(e4,e4),e0) )],[refute_23_49,refute_23_130]) ).
cnf(refute_23_132,plain,
op(e4,e0) != e0,
inference(resolve,[$cnf( $equal(op(e4,e0),op(e4,e4)) )],[refute_23_131,refute_23_129]) ).
cnf(refute_23_133,plain,
( unit = e0
| unit = e1 ),
inference(resolve,[$cnf( $equal(op(e4,e0),e0) )],[refute_23_128,refute_23_132]) ).
cnf(refute_23_134,plain,
( op(e2,unit) != e2
| unit != e0
| op(e2,e0) = e2 ),
introduced(tautology,[equality,[$cnf( $equal(op(e2,unit),e2) ),[0,1],$fot(e0)]]) ).
cnf(refute_23_135,plain,
( op(e2,unit) != e2
| op(e2,e0) = e2
| unit = e1 ),
inference(resolve,[$cnf( $equal(unit,e0) )],[refute_23_133,refute_23_134]) ).
cnf(refute_23_136,plain,
( op(e2,e0) = e2
| unit = e1 ),
inference(resolve,[$cnf( $equal(op(e2,unit),e2) )],[refute_23_86,refute_23_135]) ).
cnf(refute_23_137,plain,
( e2 != op(e2,e1)
| op(e2,e0) != e2
| op(e2,e0) = op(e2,e1) ),
introduced(tautology,[equality,[$cnf( $equal(op(e2,e0),e2) ),[1],$fot(op(e2,e1))]]) ).
cnf(refute_23_138,plain,
( e2 != op(e2,e1)
| op(e2,e0) = op(e2,e1)
| unit = e1 ),
inference(resolve,[$cnf( $equal(op(e2,e0),e2) )],[refute_23_136,refute_23_137]) ).
cnf(refute_23_139,plain,
( e2 != op(e2,e1)
| unit = e1 ),
inference(resolve,[$cnf( $equal(op(e2,e0),op(e2,e1)) )],[refute_23_138,refute_23_85]) ).
cnf(refute_23_140,plain,
op(e0,e1) != op(e2,e1),
inference(canonicalize,[],[normalize_23_37]) ).
cnf(refute_23_141,plain,
( op(e2,e1) = e0
| op(e2,e1) = e1
| op(e2,e1) = e2
| op(e2,e1) = e3
| op(e2,e1) = e4 ),
inference(canonicalize,[],[normalize_23_38]) ).
cnf(refute_23_142,plain,
op(e2,e1) != op(e2,e2),
inference(canonicalize,[],[normalize_23_39]) ).
cnf(refute_23_143,plain,
( op(e2,e1) != e4
| op(e2,e2) != e4
| op(e2,e1) = op(e2,e2) ),
introduced(tautology,[equality,[$cnf( ~ $equal(op(e2,e1),op(e2,e2)) ),[1],$fot(e4)]]) ).
cnf(refute_23_144,plain,
( op(e2,e1) != e4
| op(e2,e1) = op(e2,e2) ),
inference(resolve,[$cnf( $equal(op(e2,e2),e4) )],[refute_23_9,refute_23_143]) ).
cnf(refute_23_145,plain,
op(e2,e1) != e4,
inference(resolve,[$cnf( $equal(op(e2,e1),op(e2,e2)) )],[refute_23_144,refute_23_142]) ).
cnf(refute_23_146,plain,
( op(e2,e1) = e0
| op(e2,e1) = e1
| op(e2,e1) = e2
| op(e2,e1) = e3 ),
inference(resolve,[$cnf( $equal(op(e2,e1),e4) )],[refute_23_141,refute_23_145]) ).
cnf(refute_23_147,plain,
op(e2,e1) != op(e2,e4),
inference(canonicalize,[],[normalize_23_40]) ).
cnf(refute_23_148,plain,
( op(e2,e1) != e3
| op(e2,e4) != e3
| op(e2,e1) = op(e2,e4) ),
introduced(tautology,[equality,[$cnf( ~ $equal(op(e2,e1),op(e2,e4)) ),[1],$fot(e3)]]) ).
cnf(refute_23_149,plain,
( op(e2,e1) != e3
| op(e2,e1) = op(e2,e4) ),
inference(resolve,[$cnf( $equal(op(e2,e4),e3) )],[refute_23_18,refute_23_148]) ).
cnf(refute_23_150,plain,
op(e2,e1) != e3,
inference(resolve,[$cnf( $equal(op(e2,e1),op(e2,e4)) )],[refute_23_149,refute_23_147]) ).
cnf(refute_23_151,plain,
( op(e2,e1) = e0
| op(e2,e1) = e1
| op(e2,e1) = e2 ),
inference(resolve,[$cnf( $equal(op(e2,e1),e3) )],[refute_23_146,refute_23_150]) ).
cnf(refute_23_152,plain,
( op(e0,e1) != e1
| op(e2,e1) != e1
| op(e0,e1) = op(e2,e1) ),
introduced(tautology,[equality,[$cnf( ~ $equal(op(e0,e1),op(e2,e1)) ),[1],$fot(e1)]]) ).
cnf(refute_23_153,plain,
( op(e0,e1) != e1
| op(e0,e1) = op(e2,e1)
| op(e2,e1) = e0
| op(e2,e1) = e2 ),
inference(resolve,[$cnf( $equal(op(e2,e1),e1) )],[refute_23_151,refute_23_152]) ).
cnf(refute_23_154,plain,
( op(e0,e1) != e1
| op(e2,e1) = e0
| op(e2,e1) = e2 ),
inference(resolve,[$cnf( $equal(op(e0,e1),op(e2,e1)) )],[refute_23_153,refute_23_140]) ).
cnf(refute_23_155,plain,
( op(unit,e1) != e1
| unit != e0
| op(e0,e1) = e1 ),
introduced(tautology,[equality,[$cnf( $equal(op(unit,e1),e1) ),[0,0],$fot(e0)]]) ).
cnf(refute_23_156,plain,
( op(unit,e1) != e1
| op(e0,e1) = e1
| unit = e1 ),
inference(resolve,[$cnf( $equal(unit,e0) )],[refute_23_133,refute_23_155]) ).
cnf(refute_23_157,plain,
( op(e0,e1) = e1
| unit = e1 ),
inference(resolve,[$cnf( $equal(op(unit,e1),e1) )],[refute_23_88,refute_23_156]) ).
cnf(refute_23_158,plain,
( e1 != e1
| op(e0,e1) != e1
| op(e0,e1) = e1 ),
introduced(tautology,[equality,[$cnf( $equal(op(e0,e1),e1) ),[0,1],$fot(e1)]]) ).
cnf(refute_23_159,plain,
( e1 != e1
| op(e0,e1) = e1
| unit = e1 ),
inference(resolve,[$cnf( $equal(op(e0,e1),e1) )],[refute_23_157,refute_23_158]) ).
cnf(refute_23_160,plain,
( e1 != e1
| op(e2,e1) = e0
| op(e2,e1) = e2
| unit = e1 ),
inference(resolve,[$cnf( $equal(op(e0,e1),e1) )],[refute_23_159,refute_23_154]) ).
cnf(refute_23_161,plain,
e1 = e1,
introduced(tautology,[refl,[$fot(e1)]]) ).
cnf(refute_23_162,plain,
( op(e2,e1) = e0
| op(e2,e1) = e2
| unit = e1 ),
inference(resolve,[$cnf( $equal(e1,e1) )],[refute_23_161,refute_23_160]) ).
cnf(refute_23_163,plain,
( e2 != e2
| op(e2,e1) != e2
| e2 = op(e2,e1) ),
introduced(tautology,[equality,[$cnf( ~ $equal(e2,op(e2,e1)) ),[1],$fot(e2)]]) ).
cnf(refute_23_164,plain,
( e2 != e2
| e2 = op(e2,e1)
| op(e2,e1) = e0
| unit = e1 ),
inference(resolve,[$cnf( $equal(op(e2,e1),e2) )],[refute_23_162,refute_23_163]) ).
cnf(refute_23_165,plain,
( e2 != e2
| op(e2,e1) = e0
| unit = e1 ),
inference(resolve,[$cnf( $equal(e2,op(e2,e1)) )],[refute_23_164,refute_23_139]) ).
cnf(refute_23_166,plain,
e2 = e2,
introduced(tautology,[refl,[$fot(e2)]]) ).
cnf(refute_23_167,plain,
( op(e2,e1) = e0
| unit = e1 ),
inference(resolve,[$cnf( $equal(e2,e2) )],[refute_23_166,refute_23_165]) ).
cnf(refute_23_168,plain,
( op(e1,e1) != e0
| op(e2,e1) != e0
| op(e1,e1) = op(e2,e1) ),
introduced(tautology,[equality,[$cnf( ~ $equal(op(e1,e1),op(e2,e1)) ),[1],$fot(e0)]]) ).
cnf(refute_23_169,plain,
( op(e1,e1) != e0
| op(e1,e1) = op(e2,e1)
| unit = e1 ),
inference(resolve,[$cnf( $equal(op(e2,e1),e0) )],[refute_23_167,refute_23_168]) ).
cnf(refute_23_170,plain,
( op(e1,e1) != e0
| unit = e1 ),
inference(resolve,[$cnf( $equal(op(e1,e1),op(e2,e1)) )],[refute_23_169,refute_23_84]) ).
cnf(refute_23_171,plain,
( op(e0,op(e1,e0)) != e1
| op(e1,op(e1,e0)) = e0
| definitionFOFtoCNF_99 ),
inference(canonicalize,[],[normalize_23_42]) ).
cnf(refute_23_172,plain,
op(e1,unit) = e1,
inference(canonicalize,[],[normalize_23_43]) ).
cnf(refute_23_173,plain,
( op(e1,unit) != e1
| unit != e0
| op(e1,e0) = e1 ),
introduced(tautology,[equality,[$cnf( $equal(op(e1,unit),e1) ),[0,1],$fot(e0)]]) ).
cnf(refute_23_174,plain,
( op(e1,unit) != e1
| op(e1,e0) = e1
| unit = e1 ),
inference(resolve,[$cnf( $equal(unit,e0) )],[refute_23_133,refute_23_173]) ).
cnf(refute_23_175,plain,
( op(e1,e0) = e1
| unit = e1 ),
inference(resolve,[$cnf( $equal(op(e1,unit),e1) )],[refute_23_172,refute_23_174]) ).
cnf(refute_23_176,plain,
( op(e0,e1) != e1
| op(e1,e0) != e1
| op(e0,op(e1,e0)) = e1 ),
introduced(tautology,[equality,[$cnf( ~ $equal(op(e0,op(e1,e0)),e1) ),[0,1],$fot(e1)]]) ).
cnf(refute_23_177,plain,
( op(e0,e1) != e1
| op(e0,op(e1,e0)) = e1
| unit = e1 ),
inference(resolve,[$cnf( $equal(op(e1,e0),e1) )],[refute_23_175,refute_23_176]) ).
cnf(refute_23_178,plain,
( op(e0,e1) != e1
| op(e1,op(e1,e0)) = e0
| unit = e1
| definitionFOFtoCNF_99 ),
inference(resolve,[$cnf( $equal(op(e0,op(e1,e0)),e1) )],[refute_23_177,refute_23_171]) ).
cnf(refute_23_179,plain,
( e1 != e1
| op(e1,op(e1,e0)) = e0
| unit = e1
| definitionFOFtoCNF_99 ),
inference(resolve,[$cnf( $equal(op(e0,e1),e1) )],[refute_23_159,refute_23_178]) ).
cnf(refute_23_180,plain,
( op(e1,op(e1,e0)) = e0
| unit = e1
| definitionFOFtoCNF_99 ),
inference(resolve,[$cnf( $equal(e1,e1) )],[refute_23_161,refute_23_179]) ).
cnf(refute_23_181,plain,
( op(e1,e0) != e1
| op(e1,op(e1,e0)) != e0
| op(e1,e1) = e0 ),
introduced(tautology,[equality,[$cnf( $equal(op(e1,op(e1,e0)),e0) ),[0,1],$fot(e1)]]) ).
cnf(refute_23_182,plain,
( op(e1,op(e1,e0)) != e0
| op(e1,e1) = e0
| unit = e1 ),
inference(resolve,[$cnf( $equal(op(e1,e0),e1) )],[refute_23_175,refute_23_181]) ).
cnf(refute_23_183,plain,
( op(e1,e1) = e0
| unit = e1
| definitionFOFtoCNF_99 ),
inference(resolve,[$cnf( $equal(op(e1,op(e1,e0)),e0) )],[refute_23_180,refute_23_182]) ).
cnf(refute_23_184,plain,
( e0 != e0
| op(e1,e1) != e0
| op(e1,e1) = e0 ),
introduced(tautology,[equality,[$cnf( $equal(op(e1,e1),e0) ),[1],$fot(e0)]]) ).
cnf(refute_23_185,plain,
( e0 != e0
| op(e1,e1) = e0
| unit = e1
| definitionFOFtoCNF_99 ),
inference(resolve,[$cnf( $equal(op(e1,e1),e0) )],[refute_23_183,refute_23_184]) ).
cnf(refute_23_186,plain,
( e0 != e0
| unit = e1
| definitionFOFtoCNF_99 ),
inference(resolve,[$cnf( $equal(op(e1,e1),e0) )],[refute_23_185,refute_23_170]) ).
cnf(refute_23_187,plain,
e0 = e0,
introduced(tautology,[refl,[$fot(e0)]]) ).
cnf(refute_23_188,plain,
( unit = e1
| definitionFOFtoCNF_99 ),
inference(resolve,[$cnf( $equal(e0,e0) )],[refute_23_187,refute_23_186]) ).
cnf(refute_23_189,plain,
( op(e0,unit) != e0
| unit != e1
| op(e0,e1) = e0 ),
introduced(tautology,[equality,[$cnf( $equal(op(e0,unit),e0) ),[0,1],$fot(e1)]]) ).
cnf(refute_23_190,plain,
( op(e0,unit) != e0
| op(e0,e1) = e0
| definitionFOFtoCNF_99 ),
inference(resolve,[$cnf( $equal(unit,e1) )],[refute_23_188,refute_23_189]) ).
cnf(refute_23_191,plain,
( op(e0,e1) = e0
| definitionFOFtoCNF_99 ),
inference(resolve,[$cnf( $equal(op(e0,unit),e0) )],[refute_23_83,refute_23_190]) ).
cnf(refute_23_192,plain,
( e0 != op(e0,e2)
| op(e0,e1) != e0
| op(e0,e1) = op(e0,e2) ),
introduced(tautology,[equality,[$cnf( $equal(op(e0,e1),e0) ),[1],$fot(op(e0,e2))]]) ).
cnf(refute_23_193,plain,
( e0 != op(e0,e2)
| op(e0,e1) = op(e0,e2)
| definitionFOFtoCNF_99 ),
inference(resolve,[$cnf( $equal(op(e0,e1),e0) )],[refute_23_191,refute_23_192]) ).
cnf(refute_23_194,plain,
( e0 != op(e0,e2)
| definitionFOFtoCNF_99 ),
inference(resolve,[$cnf( $equal(op(e0,e1),op(e0,e2)) )],[refute_23_193,refute_23_82]) ).
cnf(refute_23_195,plain,
op(e0,e4) != op(e1,e4),
inference(canonicalize,[],[normalize_23_44]) ).
cnf(refute_23_196,plain,
( op(e1,e4) = e0
| op(e1,e4) = e1
| op(e1,e4) = e2
| op(e1,e4) = e3
| op(e1,e4) = e4 ),
inference(canonicalize,[],[normalize_23_45]) ).
cnf(refute_23_197,plain,
op(e1,e4) != op(e4,e4),
inference(canonicalize,[],[normalize_23_46]) ).
cnf(refute_23_198,plain,
( op(e1,e4) != e0
| op(e4,e4) != e0
| op(e1,e4) = op(e4,e4) ),
introduced(tautology,[equality,[$cnf( ~ $equal(op(e1,e4),op(e4,e4)) ),[1],$fot(e0)]]) ).
cnf(refute_23_199,plain,
( op(e1,e4) != e0
| op(e1,e4) = op(e4,e4) ),
inference(resolve,[$cnf( $equal(op(e4,e4),e0) )],[refute_23_49,refute_23_198]) ).
cnf(refute_23_200,plain,
op(e1,e4) != e0,
inference(resolve,[$cnf( $equal(op(e1,e4),op(e4,e4)) )],[refute_23_199,refute_23_197]) ).
cnf(refute_23_201,plain,
( op(e1,e4) = e1
| op(e1,e4) = e2
| op(e1,e4) = e3
| op(e1,e4) = e4 ),
inference(resolve,[$cnf( $equal(op(e1,e4),e0) )],[refute_23_196,refute_23_200]) ).
cnf(refute_23_202,plain,
op(e1,e4) != op(e3,e4),
inference(canonicalize,[],[normalize_23_47]) ).
cnf(refute_23_203,plain,
( op(e1,e4) != e1
| op(e3,e4) != e1
| op(e1,e4) = op(e3,e4) ),
introduced(tautology,[equality,[$cnf( ~ $equal(op(e1,e4),op(e3,e4)) ),[1],$fot(e1)]]) ).
cnf(refute_23_204,plain,
( op(e1,e4) != e1
| op(e1,e4) = op(e3,e4) ),
inference(resolve,[$cnf( $equal(op(e3,e4),e1) )],[refute_23_121,refute_23_203]) ).
cnf(refute_23_205,plain,
op(e1,e4) != e1,
inference(resolve,[$cnf( $equal(op(e1,e4),op(e3,e4)) )],[refute_23_204,refute_23_202]) ).
cnf(refute_23_206,plain,
( op(e1,e4) = e2
| op(e1,e4) = e3
| op(e1,e4) = e4 ),
inference(resolve,[$cnf( $equal(op(e1,e4),e1) )],[refute_23_201,refute_23_205]) ).
cnf(refute_23_207,plain,
op(e1,e4) != op(e2,e4),
inference(canonicalize,[],[normalize_23_48]) ).
cnf(refute_23_208,plain,
( op(e1,e4) != e3
| op(e2,e4) != e3
| op(e1,e4) = op(e2,e4) ),
introduced(tautology,[equality,[$cnf( ~ $equal(op(e1,e4),op(e2,e4)) ),[1],$fot(e3)]]) ).
cnf(refute_23_209,plain,
( op(e1,e4) != e3
| op(e1,e4) = op(e2,e4) ),
inference(resolve,[$cnf( $equal(op(e2,e4),e3) )],[refute_23_18,refute_23_208]) ).
cnf(refute_23_210,plain,
op(e1,e4) != e3,
inference(resolve,[$cnf( $equal(op(e1,e4),op(e2,e4)) )],[refute_23_209,refute_23_207]) ).
cnf(refute_23_211,plain,
( op(e1,e4) = e2
| op(e1,e4) = e4 ),
inference(resolve,[$cnf( $equal(op(e1,e4),e3) )],[refute_23_206,refute_23_210]) ).
cnf(refute_23_212,plain,
( op(e0,e4) != e4
| op(e1,e4) != e4
| op(e0,e4) = op(e1,e4) ),
introduced(tautology,[equality,[$cnf( ~ $equal(op(e0,e4),op(e1,e4)) ),[1],$fot(e4)]]) ).
cnf(refute_23_213,plain,
( op(e0,e4) != e4
| op(e0,e4) = op(e1,e4)
| op(e1,e4) = e2 ),
inference(resolve,[$cnf( $equal(op(e1,e4),e4) )],[refute_23_211,refute_23_212]) ).
cnf(refute_23_214,plain,
( op(e0,e4) != e4
| op(e1,e4) = e2 ),
inference(resolve,[$cnf( $equal(op(e0,e4),op(e1,e4)) )],[refute_23_213,refute_23_195]) ).
cnf(refute_23_215,plain,
op(e0,e2) != op(e0,e4),
inference(canonicalize,[],[normalize_23_49]) ).
cnf(refute_23_216,plain,
( op(e0,e4) = e0
| op(e0,e4) = e1
| op(e0,e4) = e2
| op(e0,e4) = e3
| op(e0,e4) = e4 ),
inference(canonicalize,[],[normalize_23_50]) ).
cnf(refute_23_217,plain,
op(e0,e4) != op(e4,e4),
inference(canonicalize,[],[normalize_23_51]) ).
cnf(refute_23_218,plain,
( op(e0,e4) != e0
| op(e4,e4) != e0
| op(e0,e4) = op(e4,e4) ),
introduced(tautology,[equality,[$cnf( ~ $equal(op(e0,e4),op(e4,e4)) ),[1],$fot(e0)]]) ).
cnf(refute_23_219,plain,
( op(e0,e4) != e0
| op(e0,e4) = op(e4,e4) ),
inference(resolve,[$cnf( $equal(op(e4,e4),e0) )],[refute_23_49,refute_23_218]) ).
cnf(refute_23_220,plain,
op(e0,e4) != e0,
inference(resolve,[$cnf( $equal(op(e0,e4),op(e4,e4)) )],[refute_23_219,refute_23_217]) ).
cnf(refute_23_221,plain,
( op(e0,e4) = e1
| op(e0,e4) = e2
| op(e0,e4) = e3
| op(e0,e4) = e4 ),
inference(resolve,[$cnf( $equal(op(e0,e4),e0) )],[refute_23_216,refute_23_220]) ).
cnf(refute_23_222,plain,
op(e0,e4) != op(e3,e4),
inference(canonicalize,[],[normalize_23_52]) ).
cnf(refute_23_223,plain,
( op(e0,e4) != e1
| op(e3,e4) != e1
| op(e0,e4) = op(e3,e4) ),
introduced(tautology,[equality,[$cnf( ~ $equal(op(e0,e4),op(e3,e4)) ),[1],$fot(e1)]]) ).
cnf(refute_23_224,plain,
( op(e0,e4) != e1
| op(e0,e4) = op(e3,e4) ),
inference(resolve,[$cnf( $equal(op(e3,e4),e1) )],[refute_23_121,refute_23_223]) ).
cnf(refute_23_225,plain,
op(e0,e4) != e1,
inference(resolve,[$cnf( $equal(op(e0,e4),op(e3,e4)) )],[refute_23_224,refute_23_222]) ).
cnf(refute_23_226,plain,
( op(e0,e4) = e2
| op(e0,e4) = e3
| op(e0,e4) = e4 ),
inference(resolve,[$cnf( $equal(op(e0,e4),e1) )],[refute_23_221,refute_23_225]) ).
cnf(refute_23_227,plain,
op(e0,e4) != op(e2,e4),
inference(canonicalize,[],[normalize_23_53]) ).
cnf(refute_23_228,plain,
( op(e0,e4) != e3
| op(e2,e4) != e3
| op(e0,e4) = op(e2,e4) ),
introduced(tautology,[equality,[$cnf( ~ $equal(op(e0,e4),op(e2,e4)) ),[1],$fot(e3)]]) ).
cnf(refute_23_229,plain,
( op(e0,e4) != e3
| op(e0,e4) = op(e2,e4) ),
inference(resolve,[$cnf( $equal(op(e2,e4),e3) )],[refute_23_18,refute_23_228]) ).
cnf(refute_23_230,plain,
op(e0,e4) != e3,
inference(resolve,[$cnf( $equal(op(e0,e4),op(e2,e4)) )],[refute_23_229,refute_23_227]) ).
cnf(refute_23_231,plain,
( op(e0,e4) = e2
| op(e0,e4) = e4 ),
inference(resolve,[$cnf( $equal(op(e0,e4),e3) )],[refute_23_226,refute_23_230]) ).
cnf(refute_23_232,plain,
( op(e0,e2) != e2
| op(e0,e4) != e2
| op(e0,e2) = op(e0,e4) ),
introduced(tautology,[equality,[$cnf( ~ $equal(op(e0,e2),op(e0,e4)) ),[1],$fot(e2)]]) ).
cnf(refute_23_233,plain,
( op(e0,e2) != e2
| op(e0,e2) = op(e0,e4)
| op(e0,e4) = e4 ),
inference(resolve,[$cnf( $equal(op(e0,e4),e2) )],[refute_23_231,refute_23_232]) ).
cnf(refute_23_234,plain,
( op(e0,e2) != e2
| op(e0,e4) = e4 ),
inference(resolve,[$cnf( $equal(op(e0,e2),op(e0,e4)) )],[refute_23_233,refute_23_215]) ).
cnf(refute_23_235,plain,
( op(e0,e2) = e0
| op(e0,e2) = e1
| op(e0,e2) = e2
| op(e0,e2) = e3
| op(e0,e2) = e4 ),
inference(canonicalize,[],[normalize_23_54]) ).
cnf(refute_23_236,plain,
op(e0,e2) != op(e2,e2),
inference(canonicalize,[],[normalize_23_55]) ).
cnf(refute_23_237,plain,
( op(e0,e2) != e4
| op(e2,e2) != e4
| op(e0,e2) = op(e2,e2) ),
introduced(tautology,[equality,[$cnf( ~ $equal(op(e0,e2),op(e2,e2)) ),[1],$fot(e4)]]) ).
cnf(refute_23_238,plain,
( op(e0,e2) != e4
| op(e0,e2) = op(e2,e2) ),
inference(resolve,[$cnf( $equal(op(e2,e2),e4) )],[refute_23_9,refute_23_237]) ).
cnf(refute_23_239,plain,
op(e0,e2) != e4,
inference(resolve,[$cnf( $equal(op(e0,e2),op(e2,e2)) )],[refute_23_238,refute_23_236]) ).
cnf(refute_23_240,plain,
( op(e0,e2) = e0
| op(e0,e2) = e1
| op(e0,e2) = e2
| op(e0,e2) = e3 ),
inference(resolve,[$cnf( $equal(op(e0,e2),e4) )],[refute_23_235,refute_23_239]) ).
cnf(refute_23_241,plain,
( e2 != e2
| op(e0,e2) != e2
| op(e0,e2) = e2 ),
introduced(tautology,[equality,[$cnf( $equal(op(e0,e2),e2) ),[0,1],$fot(e2)]]) ).
cnf(refute_23_242,plain,
( e2 != e2
| op(e0,e2) = e0
| op(e0,e2) = e1
| op(e0,e2) = e2
| op(e0,e2) = e3 ),
inference(resolve,[$cnf( $equal(op(e0,e2),e2) )],[refute_23_240,refute_23_241]) ).
cnf(refute_23_243,plain,
( e2 != e2
| op(e0,e2) = e0
| op(e0,e2) = e1
| op(e0,e2) = e3
| op(e0,e4) = e4 ),
inference(resolve,[$cnf( $equal(op(e0,e2),e2) )],[refute_23_242,refute_23_234]) ).
cnf(refute_23_244,plain,
( op(e0,e2) = e0
| op(e0,e2) = e1
| op(e0,e2) = e3
| op(e0,e4) = e4 ),
inference(resolve,[$cnf( $equal(e2,e2) )],[refute_23_166,refute_23_243]) ).
cnf(refute_23_245,plain,
( e4 != e4
| op(e0,e4) != e4
| op(e0,e4) = e4 ),
introduced(tautology,[equality,[$cnf( $equal(op(e0,e4),e4) ),[0,1],$fot(e4)]]) ).
cnf(refute_23_246,plain,
( e4 != e4
| op(e0,e2) = e0
| op(e0,e2) = e1
| op(e0,e2) = e3
| op(e0,e4) = e4 ),
inference(resolve,[$cnf( $equal(op(e0,e4),e4) )],[refute_23_244,refute_23_245]) ).
cnf(refute_23_247,plain,
( e4 != e4
| op(e0,e2) = e0
| op(e0,e2) = e1
| op(e0,e2) = e3
| op(e1,e4) = e2 ),
inference(resolve,[$cnf( $equal(op(e0,e4),e4) )],[refute_23_246,refute_23_214]) ).
cnf(refute_23_248,plain,
( op(e0,e2) = e0
| op(e0,e2) = e1
| op(e0,e2) = e3
| op(e1,e4) = e2 ),
inference(resolve,[$cnf( $equal(e4,e4) )],[refute_23_62,refute_23_247]) ).
cnf(refute_23_249,plain,
op(unit,e4) = e4,
inference(canonicalize,[],[normalize_23_56]) ).
cnf(refute_23_250,plain,
( op(unit,e4) != e4
| unit != e1
| op(e1,e4) = e4 ),
introduced(tautology,[equality,[$cnf( $equal(op(unit,e4),e4) ),[0,0],$fot(e1)]]) ).
cnf(refute_23_251,plain,
( op(unit,e4) != e4
| op(e1,e4) = e4
| definitionFOFtoCNF_99 ),
inference(resolve,[$cnf( $equal(unit,e1) )],[refute_23_188,refute_23_250]) ).
cnf(refute_23_252,plain,
( op(e1,e4) = e4
| definitionFOFtoCNF_99 ),
inference(resolve,[$cnf( $equal(op(unit,e4),e4) )],[refute_23_249,refute_23_251]) ).
cnf(refute_23_253,plain,
( op(e1,e4) != e2
| op(e1,e4) != e4
| e4 = e2 ),
introduced(tautology,[equality,[$cnf( $equal(op(e1,e4),e2) ),[0],$fot(e4)]]) ).
cnf(refute_23_254,plain,
( op(e1,e4) != e2
| e4 = e2
| definitionFOFtoCNF_99 ),
inference(resolve,[$cnf( $equal(op(e1,e4),e4) )],[refute_23_252,refute_23_253]) ).
cnf(refute_23_255,plain,
( e4 = e2
| op(e0,e2) = e0
| op(e0,e2) = e1
| op(e0,e2) = e3
| definitionFOFtoCNF_99 ),
inference(resolve,[$cnf( $equal(op(e1,e4),e2) )],[refute_23_248,refute_23_254]) ).
cnf(refute_23_256,plain,
e2 != e4,
inference(canonicalize,[],[normalize_23_57]) ).
cnf(refute_23_257,plain,
( e4 != e2
| e2 = e4 ),
inference(subst,[],[refute_23_7:[bind(X,$fot(e4)),bind(Y,$fot(e2))]]) ).
cnf(refute_23_258,plain,
e4 != e2,
inference(resolve,[$cnf( $equal(e2,e4) )],[refute_23_257,refute_23_256]) ).
cnf(refute_23_259,plain,
( op(e0,e2) = e0
| op(e0,e2) = e1
| op(e0,e2) = e3
| definitionFOFtoCNF_99 ),
inference(resolve,[$cnf( $equal(e4,e2) )],[refute_23_255,refute_23_258]) ).
cnf(refute_23_260,plain,
( e0 != e0
| op(e0,e2) != e0
| e0 = op(e0,e2) ),
introduced(tautology,[equality,[$cnf( ~ $equal(e0,op(e0,e2)) ),[1],$fot(e0)]]) ).
cnf(refute_23_261,plain,
( e0 != e0
| e0 = op(e0,e2)
| op(e0,e2) = e1
| op(e0,e2) = e3
| definitionFOFtoCNF_99 ),
inference(resolve,[$cnf( $equal(op(e0,e2),e0) )],[refute_23_259,refute_23_260]) ).
cnf(refute_23_262,plain,
( e0 != e0
| op(e0,e2) = e1
| op(e0,e2) = e3
| definitionFOFtoCNF_99 ),
inference(resolve,[$cnf( $equal(e0,op(e0,e2)) )],[refute_23_261,refute_23_194]) ).
cnf(refute_23_263,plain,
( op(e0,e2) = e1
| op(e0,e2) = e3
| definitionFOFtoCNF_99 ),
inference(resolve,[$cnf( $equal(e0,e0) )],[refute_23_187,refute_23_262]) ).
cnf(refute_23_264,plain,
( e1 != op(e4,e2)
| op(e0,e2) != e1
| op(e0,e2) = op(e4,e2) ),
introduced(tautology,[equality,[$cnf( $equal(op(e0,e2),e1) ),[1],$fot(op(e4,e2))]]) ).
cnf(refute_23_265,plain,
( e1 != op(e4,e2)
| op(e0,e2) = e3
| op(e0,e2) = op(e4,e2)
| definitionFOFtoCNF_99 ),
inference(resolve,[$cnf( $equal(op(e0,e2),e1) )],[refute_23_263,refute_23_264]) ).
cnf(refute_23_266,plain,
( e1 != op(e4,e2)
| op(e0,e2) = e3
| definitionFOFtoCNF_99 ),
inference(resolve,[$cnf( $equal(op(e0,e2),op(e4,e2)) )],[refute_23_265,refute_23_1]) ).
cnf(refute_23_267,plain,
op(e1,e2) != op(e4,e2),
inference(canonicalize,[],[normalize_23_58]) ).
cnf(refute_23_268,plain,
op(unit,e2) = e2,
inference(canonicalize,[],[normalize_23_59]) ).
cnf(refute_23_269,plain,
( op(unit,e2) != e2
| unit != e1
| op(e1,e2) = e2 ),
introduced(tautology,[equality,[$cnf( $equal(op(unit,e2),e2) ),[0,0],$fot(e1)]]) ).
cnf(refute_23_270,plain,
( op(unit,e2) != e2
| op(e1,e2) = e2
| definitionFOFtoCNF_99 ),
inference(resolve,[$cnf( $equal(unit,e1) )],[refute_23_188,refute_23_269]) ).
cnf(refute_23_271,plain,
( op(e1,e2) = e2
| definitionFOFtoCNF_99 ),
inference(resolve,[$cnf( $equal(op(unit,e2),e2) )],[refute_23_268,refute_23_270]) ).
cnf(refute_23_272,plain,
( e2 != op(e4,e2)
| op(e1,e2) != e2
| op(e1,e2) = op(e4,e2) ),
introduced(tautology,[equality,[$cnf( $equal(op(e1,e2),e2) ),[1],$fot(op(e4,e2))]]) ).
cnf(refute_23_273,plain,
( e2 != op(e4,e2)
| op(e1,e2) = op(e4,e2)
| definitionFOFtoCNF_99 ),
inference(resolve,[$cnf( $equal(op(e1,e2),e2) )],[refute_23_271,refute_23_272]) ).
cnf(refute_23_274,plain,
( e2 != op(e4,e2)
| definitionFOFtoCNF_99 ),
inference(resolve,[$cnf( $equal(op(e1,e2),op(e4,e2)) )],[refute_23_273,refute_23_267]) ).
cnf(refute_23_275,plain,
( e2 != e2
| op(e4,e2) != e2
| e2 = op(e4,e2) ),
introduced(tautology,[equality,[$cnf( ~ $equal(e2,op(e4,e2)) ),[1],$fot(e2)]]) ).
cnf(refute_23_276,plain,
( e2 != e2
| e2 = op(e4,e2)
| op(e4,e2) = e1
| op(e4,e2) = e3 ),
inference(resolve,[$cnf( $equal(op(e4,e2),e2) )],[refute_23_53,refute_23_275]) ).
cnf(refute_23_277,plain,
( e2 != e2
| op(e4,e2) = e1
| op(e4,e2) = e3
| definitionFOFtoCNF_99 ),
inference(resolve,[$cnf( $equal(e2,op(e4,e2)) )],[refute_23_276,refute_23_274]) ).
cnf(refute_23_278,plain,
( op(e4,e2) = e1
| op(e4,e2) = e3
| definitionFOFtoCNF_99 ),
inference(resolve,[$cnf( $equal(e2,e2) )],[refute_23_166,refute_23_277]) ).
cnf(refute_23_279,plain,
( e1 != e1
| op(e4,e2) != e1
| e1 = op(e4,e2) ),
introduced(tautology,[equality,[$cnf( ~ $equal(e1,op(e4,e2)) ),[1],$fot(e1)]]) ).
cnf(refute_23_280,plain,
( e1 != e1
| e1 = op(e4,e2)
| op(e4,e2) = e3
| definitionFOFtoCNF_99 ),
inference(resolve,[$cnf( $equal(op(e4,e2),e1) )],[refute_23_278,refute_23_279]) ).
cnf(refute_23_281,plain,
( e1 != e1
| op(e0,e2) = e3
| op(e4,e2) = e3
| definitionFOFtoCNF_99 ),
inference(resolve,[$cnf( $equal(e1,op(e4,e2)) )],[refute_23_280,refute_23_266]) ).
cnf(refute_23_282,plain,
( op(e0,e2) = e3
| op(e4,e2) = e3
| definitionFOFtoCNF_99 ),
inference(resolve,[$cnf( $equal(e1,e1) )],[refute_23_161,refute_23_281]) ).
cnf(refute_23_283,plain,
( op(e4,e0) != e3
| op(e4,e2) != e3
| op(e4,e0) = op(e4,e2) ),
introduced(tautology,[equality,[$cnf( ~ $equal(op(e4,e0),op(e4,e2)) ),[1],$fot(e3)]]) ).
cnf(refute_23_284,plain,
( op(e4,e0) != e3
| op(e0,e2) = e3
| op(e4,e0) = op(e4,e2)
| definitionFOFtoCNF_99 ),
inference(resolve,[$cnf( $equal(op(e4,e2),e3) )],[refute_23_282,refute_23_283]) ).
cnf(refute_23_285,plain,
( op(e4,e0) != e3
| op(e0,e2) = e3
| definitionFOFtoCNF_99 ),
inference(resolve,[$cnf( $equal(op(e4,e0),op(e4,e2)) )],[refute_23_284,refute_23_81]) ).
cnf(refute_23_286,plain,
op(e4,e0) != op(e4,e1),
inference(canonicalize,[],[normalize_23_60]) ).
cnf(refute_23_287,plain,
op(e4,unit) = e4,
inference(canonicalize,[],[normalize_23_61]) ).
cnf(refute_23_288,plain,
( op(e4,unit) != e4
| unit != e1
| op(e4,e1) = e4 ),
introduced(tautology,[equality,[$cnf( $equal(op(e4,unit),e4) ),[0,1],$fot(e1)]]) ).
cnf(refute_23_289,plain,
( op(e4,unit) != e4
| op(e4,e1) = e4
| definitionFOFtoCNF_99 ),
inference(resolve,[$cnf( $equal(unit,e1) )],[refute_23_188,refute_23_288]) ).
cnf(refute_23_290,plain,
( op(e4,e1) = e4
| definitionFOFtoCNF_99 ),
inference(resolve,[$cnf( $equal(op(e4,unit),e4) )],[refute_23_287,refute_23_289]) ).
cnf(refute_23_291,plain,
( op(e4,e0) != e4
| op(e4,e1) != e4
| op(e4,e0) = op(e4,e1) ),
introduced(tautology,[equality,[$cnf( ~ $equal(op(e4,e0),op(e4,e1)) ),[1],$fot(e4)]]) ).
cnf(refute_23_292,plain,
( op(e4,e0) != e4
| op(e4,e0) = op(e4,e1)
| definitionFOFtoCNF_99 ),
inference(resolve,[$cnf( $equal(op(e4,e1),e4) )],[refute_23_290,refute_23_291]) ).
cnf(refute_23_293,plain,
( op(e4,e0) != e4
| definitionFOFtoCNF_99 ),
inference(resolve,[$cnf( $equal(op(e4,e0),op(e4,e1)) )],[refute_23_292,refute_23_286]) ).
cnf(refute_23_294,plain,
op(e2,e0) != op(e4,e0),
inference(canonicalize,[],[normalize_23_62]) ).
cnf(refute_23_295,plain,
( op(e2,unit) != e2
| unit != e1
| op(e2,e1) = e2 ),
introduced(tautology,[equality,[$cnf( $equal(op(e2,unit),e2) ),[0,1],$fot(e1)]]) ).
cnf(refute_23_296,plain,
( op(e2,unit) != e2
| op(e2,e1) = e2
| definitionFOFtoCNF_99 ),
inference(resolve,[$cnf( $equal(unit,e1) )],[refute_23_188,refute_23_295]) ).
cnf(refute_23_297,plain,
( op(e2,e1) = e2
| definitionFOFtoCNF_99 ),
inference(resolve,[$cnf( $equal(op(e2,unit),e2) )],[refute_23_86,refute_23_296]) ).
cnf(refute_23_298,plain,
( op(e2,e0) != e2
| op(e2,e1) != e2
| op(e2,e0) = op(e2,e1) ),
introduced(tautology,[equality,[$cnf( ~ $equal(op(e2,e0),op(e2,e1)) ),[1],$fot(e2)]]) ).
cnf(refute_23_299,plain,
( op(e2,e0) != e2
| op(e2,e0) = op(e2,e1)
| definitionFOFtoCNF_99 ),
inference(resolve,[$cnf( $equal(op(e2,e1),e2) )],[refute_23_297,refute_23_298]) ).
cnf(refute_23_300,plain,
( op(e2,e0) != e2
| definitionFOFtoCNF_99 ),
inference(resolve,[$cnf( $equal(op(e2,e0),op(e2,e1)) )],[refute_23_299,refute_23_85]) ).
cnf(refute_23_301,plain,
op(e1,e0) != op(e2,e0),
inference(canonicalize,[],[normalize_23_63]) ).
cnf(refute_23_302,plain,
( op(e2,e0) = e0
| op(e2,e0) = e1
| op(e2,e0) = e2
| op(e2,e0) = e3
| op(e2,e0) = e4 ),
inference(canonicalize,[],[normalize_23_64]) ).
cnf(refute_23_303,plain,
op(e2,e0) != op(e2,e2),
inference(canonicalize,[],[normalize_23_65]) ).
cnf(refute_23_304,plain,
( op(e2,e0) != e4
| op(e2,e2) != e4
| op(e2,e0) = op(e2,e2) ),
introduced(tautology,[equality,[$cnf( ~ $equal(op(e2,e0),op(e2,e2)) ),[1],$fot(e4)]]) ).
cnf(refute_23_305,plain,
( op(e2,e0) != e4
| op(e2,e0) = op(e2,e2) ),
inference(resolve,[$cnf( $equal(op(e2,e2),e4) )],[refute_23_9,refute_23_304]) ).
cnf(refute_23_306,plain,
op(e2,e0) != e4,
inference(resolve,[$cnf( $equal(op(e2,e0),op(e2,e2)) )],[refute_23_305,refute_23_303]) ).
cnf(refute_23_307,plain,
( op(e2,e0) = e0
| op(e2,e0) = e1
| op(e2,e0) = e2
| op(e2,e0) = e3 ),
inference(resolve,[$cnf( $equal(op(e2,e0),e4) )],[refute_23_302,refute_23_306]) ).
cnf(refute_23_308,plain,
op(e2,e0) != op(e2,e4),
inference(canonicalize,[],[normalize_23_66]) ).
cnf(refute_23_309,plain,
( op(e2,e0) != e3
| op(e2,e4) != e3
| op(e2,e0) = op(e2,e4) ),
introduced(tautology,[equality,[$cnf( ~ $equal(op(e2,e0),op(e2,e4)) ),[1],$fot(e3)]]) ).
cnf(refute_23_310,plain,
( op(e2,e0) != e3
| op(e2,e0) = op(e2,e4) ),
inference(resolve,[$cnf( $equal(op(e2,e4),e3) )],[refute_23_18,refute_23_309]) ).
cnf(refute_23_311,plain,
op(e2,e0) != e3,
inference(resolve,[$cnf( $equal(op(e2,e0),op(e2,e4)) )],[refute_23_310,refute_23_308]) ).
cnf(refute_23_312,plain,
( op(e2,e0) = e0
| op(e2,e0) = e1
| op(e2,e0) = e2 ),
inference(resolve,[$cnf( $equal(op(e2,e0),e3) )],[refute_23_307,refute_23_311]) ).
cnf(refute_23_313,plain,
( op(e1,e0) != e0
| op(e2,e0) != e0
| op(e1,e0) = op(e2,e0) ),
introduced(tautology,[equality,[$cnf( ~ $equal(op(e1,e0),op(e2,e0)) ),[1],$fot(e0)]]) ).
cnf(refute_23_314,plain,
( op(e1,e0) != e0
| op(e1,e0) = op(e2,e0)
| op(e2,e0) = e1
| op(e2,e0) = e2 ),
inference(resolve,[$cnf( $equal(op(e2,e0),e0) )],[refute_23_312,refute_23_313]) ).
cnf(refute_23_315,plain,
( op(e1,e0) != e0
| op(e2,e0) = e1
| op(e2,e0) = e2 ),
inference(resolve,[$cnf( $equal(op(e1,e0),op(e2,e0)) )],[refute_23_314,refute_23_301]) ).
cnf(refute_23_316,plain,
( op(unit,e0) != e0
| unit != e1
| op(e1,e0) = e0 ),
introduced(tautology,[equality,[$cnf( $equal(op(unit,e0),e0) ),[0,0],$fot(e1)]]) ).
cnf(refute_23_317,plain,
( op(unit,e0) != e0
| op(e1,e0) = e0
| definitionFOFtoCNF_99 ),
inference(resolve,[$cnf( $equal(unit,e1) )],[refute_23_188,refute_23_316]) ).
cnf(refute_23_318,plain,
( op(e1,e0) = e0
| definitionFOFtoCNF_99 ),
inference(resolve,[$cnf( $equal(op(unit,e0),e0) )],[refute_23_87,refute_23_317]) ).
cnf(refute_23_319,plain,
( e0 != e0
| op(e1,e0) != e0
| op(e1,e0) = e0 ),
introduced(tautology,[equality,[$cnf( $equal(op(e1,e0),e0) ),[0,1],$fot(e0)]]) ).
cnf(refute_23_320,plain,
( e0 != e0
| op(e1,e0) = e0
| definitionFOFtoCNF_99 ),
inference(resolve,[$cnf( $equal(op(e1,e0),e0) )],[refute_23_318,refute_23_319]) ).
cnf(refute_23_321,plain,
( e0 != e0
| op(e2,e0) = e1
| op(e2,e0) = e2
| definitionFOFtoCNF_99 ),
inference(resolve,[$cnf( $equal(op(e1,e0),e0) )],[refute_23_320,refute_23_315]) ).
cnf(refute_23_322,plain,
( op(e2,e0) = e1
| op(e2,e0) = e2
| definitionFOFtoCNF_99 ),
inference(resolve,[$cnf( $equal(e0,e0) )],[refute_23_187,refute_23_321]) ).
cnf(refute_23_323,plain,
( e2 != e2
| op(e2,e0) != e2
| op(e2,e0) = e2 ),
introduced(tautology,[equality,[$cnf( $equal(op(e2,e0),e2) ),[0,0],$fot(e2)]]) ).
cnf(refute_23_324,plain,
( e2 != e2
| op(e2,e0) = e1
| op(e2,e0) = e2
| definitionFOFtoCNF_99 ),
inference(resolve,[$cnf( $equal(op(e2,e0),e2) )],[refute_23_322,refute_23_323]) ).
cnf(refute_23_325,plain,
( e2 != e2
| op(e2,e0) = e1
| definitionFOFtoCNF_99 ),
inference(resolve,[$cnf( $equal(op(e2,e0),e2) )],[refute_23_324,refute_23_300]) ).
cnf(refute_23_326,plain,
( op(e2,e0) = e1
| definitionFOFtoCNF_99 ),
inference(resolve,[$cnf( $equal(e2,e2) )],[refute_23_166,refute_23_325]) ).
cnf(refute_23_327,plain,
( e1 != op(e4,e0)
| op(e2,e0) != e1
| op(e2,e0) = op(e4,e0) ),
introduced(tautology,[equality,[$cnf( $equal(op(e2,e0),e1) ),[1],$fot(op(e4,e0))]]) ).
cnf(refute_23_328,plain,
( e1 != op(e4,e0)
| op(e2,e0) = op(e4,e0)
| definitionFOFtoCNF_99 ),
inference(resolve,[$cnf( $equal(op(e2,e0),e1) )],[refute_23_326,refute_23_327]) ).
cnf(refute_23_329,plain,
( e1 != op(e4,e0)
| definitionFOFtoCNF_99 ),
inference(resolve,[$cnf( $equal(op(e2,e0),op(e4,e0)) )],[refute_23_328,refute_23_294]) ).
cnf(refute_23_330,plain,
( op(e4,e0) = e0
| op(e4,e0) = e1
| op(e4,e0) = e2
| op(e4,e0) = e3
| op(e4,e0) = e4 ),
inference(canonicalize,[],[normalize_23_67]) ).
cnf(refute_23_331,plain,
( op(e4,e0) = e1
| op(e4,e0) = e2
| op(e4,e0) = e3
| op(e4,e0) = e4 ),
inference(resolve,[$cnf( $equal(op(e4,e0),e0) )],[refute_23_330,refute_23_132]) ).
cnf(refute_23_332,plain,
( e1 != e1
| op(e4,e0) != e1
| e1 = op(e4,e0) ),
introduced(tautology,[equality,[$cnf( ~ $equal(e1,op(e4,e0)) ),[1],$fot(e1)]]) ).
cnf(refute_23_333,plain,
( e1 != e1
| e1 = op(e4,e0)
| op(e4,e0) = e2
| op(e4,e0) = e3
| op(e4,e0) = e4 ),
inference(resolve,[$cnf( $equal(op(e4,e0),e1) )],[refute_23_331,refute_23_332]) ).
cnf(refute_23_334,plain,
( e1 != e1
| op(e4,e0) = e2
| op(e4,e0) = e3
| op(e4,e0) = e4
| definitionFOFtoCNF_99 ),
inference(resolve,[$cnf( $equal(e1,op(e4,e0)) )],[refute_23_333,refute_23_329]) ).
cnf(refute_23_335,plain,
( op(e4,e0) = e2
| op(e4,e0) = e3
| op(e4,e0) = e4
| definitionFOFtoCNF_99 ),
inference(resolve,[$cnf( $equal(e1,e1) )],[refute_23_161,refute_23_334]) ).
cnf(refute_23_336,plain,
( e4 != e4
| op(e4,e0) != e4
| op(e4,e0) = e4 ),
introduced(tautology,[equality,[$cnf( $equal(op(e4,e0),e4) ),[0,0],$fot(e4)]]) ).
cnf(refute_23_337,plain,
( e4 != e4
| op(e4,e0) = e2
| op(e4,e0) = e3
| op(e4,e0) = e4
| definitionFOFtoCNF_99 ),
inference(resolve,[$cnf( $equal(op(e4,e0),e4) )],[refute_23_335,refute_23_336]) ).
cnf(refute_23_338,plain,
( e4 != e4
| op(e4,e0) = e2
| op(e4,e0) = e3
| definitionFOFtoCNF_99 ),
inference(resolve,[$cnf( $equal(op(e4,e0),e4) )],[refute_23_337,refute_23_293]) ).
cnf(refute_23_339,plain,
( op(e4,e0) = e2
| op(e4,e0) = e3
| definitionFOFtoCNF_99 ),
inference(resolve,[$cnf( $equal(e4,e4) )],[refute_23_62,refute_23_338]) ).
cnf(refute_23_340,plain,
( e3 != e3
| op(e4,e0) != e3
| op(e4,e0) = e3 ),
introduced(tautology,[equality,[$cnf( $equal(op(e4,e0),e3) ),[1],$fot(e3)]]) ).
cnf(refute_23_341,plain,
( e3 != e3
| op(e4,e0) = e2
| op(e4,e0) = e3
| definitionFOFtoCNF_99 ),
inference(resolve,[$cnf( $equal(op(e4,e0),e3) )],[refute_23_339,refute_23_340]) ).
cnf(refute_23_342,plain,
( e3 != e3
| op(e0,e2) = e3
| op(e4,e0) = e2
| definitionFOFtoCNF_99 ),
inference(resolve,[$cnf( $equal(op(e4,e0),e3) )],[refute_23_341,refute_23_285]) ).
cnf(refute_23_343,plain,
e3 = e3,
introduced(tautology,[refl,[$fot(e3)]]) ).
cnf(refute_23_344,plain,
( op(e0,e2) = e3
| op(e4,e0) = e2
| definitionFOFtoCNF_99 ),
inference(resolve,[$cnf( $equal(e3,e3) )],[refute_23_343,refute_23_342]) ).
cnf(refute_23_345,plain,
( op(e0,op(e4,e0)) != e4
| op(e4,e0) != e2
| op(e0,e2) = e4 ),
introduced(tautology,[equality,[$cnf( $equal(op(e0,op(e4,e0)),e4) ),[0,1],$fot(e2)]]) ).
cnf(refute_23_346,plain,
( op(e0,op(e4,e0)) != e4
| op(e0,e2) = e3
| op(e0,e2) = e4
| definitionFOFtoCNF_99 ),
inference(resolve,[$cnf( $equal(op(e4,e0),e2) )],[refute_23_344,refute_23_345]) ).
cnf(refute_23_347,plain,
( op(e0,e2) = e3
| op(e0,e2) = e4
| op(e0,op(e2,e0)) = e2
| op(e0,op(e3,e0)) = e3
| definitionFOFtoCNF_99 ),
inference(resolve,[$cnf( $equal(op(e0,op(e4,e0)),e4) )],[refute_23_80,refute_23_346]) ).
cnf(refute_23_348,plain,
( op(e0,e2) = e3
| op(e0,op(e2,e0)) = e2
| op(e0,op(e3,e0)) = e3
| definitionFOFtoCNF_99 ),
inference(resolve,[$cnf( $equal(op(e0,e2),e4) )],[refute_23_347,refute_23_239]) ).
cnf(refute_23_349,plain,
op(e3,e0) != op(e4,e0),
inference(canonicalize,[],[normalize_23_68]) ).
cnf(refute_23_350,plain,
op(e3,e0) != op(e3,e1),
inference(canonicalize,[],[normalize_23_69]) ).
cnf(refute_23_351,plain,
op(e3,unit) = e3,
inference(canonicalize,[],[normalize_23_70]) ).
cnf(refute_23_352,plain,
( op(e3,unit) != e3
| unit != e1
| op(e3,e1) = e3 ),
introduced(tautology,[equality,[$cnf( $equal(op(e3,unit),e3) ),[0,1],$fot(e1)]]) ).
cnf(refute_23_353,plain,
( op(e3,unit) != e3
| op(e3,e1) = e3
| definitionFOFtoCNF_99 ),
inference(resolve,[$cnf( $equal(unit,e1) )],[refute_23_188,refute_23_352]) ).
cnf(refute_23_354,plain,
( op(e3,e1) = e3
| definitionFOFtoCNF_99 ),
inference(resolve,[$cnf( $equal(op(e3,unit),e3) )],[refute_23_351,refute_23_353]) ).
cnf(refute_23_355,plain,
( op(e3,e0) != e3
| op(e3,e1) != e3
| op(e3,e0) = op(e3,e1) ),
introduced(tautology,[equality,[$cnf( ~ $equal(op(e3,e0),op(e3,e1)) ),[1],$fot(e3)]]) ).
cnf(refute_23_356,plain,
( op(e3,e0) != e3
| op(e3,e0) = op(e3,e1)
| definitionFOFtoCNF_99 ),
inference(resolve,[$cnf( $equal(op(e3,e1),e3) )],[refute_23_354,refute_23_355]) ).
cnf(refute_23_357,plain,
( op(e3,e0) != e3
| definitionFOFtoCNF_99 ),
inference(resolve,[$cnf( $equal(op(e3,e0),op(e3,e1)) )],[refute_23_356,refute_23_350]) ).
cnf(refute_23_358,plain,
op(e1,e0) != op(e3,e0),
inference(canonicalize,[],[normalize_23_71]) ).
cnf(refute_23_359,plain,
( e0 != op(e3,e0)
| op(e1,e0) != e0
| op(e1,e0) = op(e3,e0) ),
introduced(tautology,[equality,[$cnf( $equal(op(e1,e0),e0) ),[1],$fot(op(e3,e0))]]) ).
cnf(refute_23_360,plain,
( e0 != op(e3,e0)
| op(e1,e0) = op(e3,e0)
| definitionFOFtoCNF_99 ),
inference(resolve,[$cnf( $equal(op(e1,e0),e0) )],[refute_23_318,refute_23_359]) ).
cnf(refute_23_361,plain,
( e0 != op(e3,e0)
| definitionFOFtoCNF_99 ),
inference(resolve,[$cnf( $equal(op(e1,e0),op(e3,e0)) )],[refute_23_360,refute_23_358]) ).
cnf(refute_23_362,plain,
( op(e3,e0) = e0
| op(e3,e0) = e1
| op(e3,e0) = e2
| op(e3,e0) = e3
| op(e3,e0) = e4 ),
inference(canonicalize,[],[normalize_23_72]) ).
cnf(refute_23_363,plain,
op(e3,e0) != op(e3,e4),
inference(canonicalize,[],[normalize_23_73]) ).
cnf(refute_23_364,plain,
( op(e3,e0) != e1
| op(e3,e4) != e1
| op(e3,e0) = op(e3,e4) ),
introduced(tautology,[equality,[$cnf( ~ $equal(op(e3,e0),op(e3,e4)) ),[1],$fot(e1)]]) ).
cnf(refute_23_365,plain,
( op(e3,e0) != e1
| op(e3,e0) = op(e3,e4) ),
inference(resolve,[$cnf( $equal(op(e3,e4),e1) )],[refute_23_121,refute_23_364]) ).
cnf(refute_23_366,plain,
op(e3,e0) != e1,
inference(resolve,[$cnf( $equal(op(e3,e0),op(e3,e4)) )],[refute_23_365,refute_23_363]) ).
cnf(refute_23_367,plain,
( op(e3,e0) = e0
| op(e3,e0) = e2
| op(e3,e0) = e3
| op(e3,e0) = e4 ),
inference(resolve,[$cnf( $equal(op(e3,e0),e1) )],[refute_23_362,refute_23_366]) ).
cnf(refute_23_368,plain,
( e0 != e0
| op(e3,e0) != e0
| e0 = op(e3,e0) ),
introduced(tautology,[equality,[$cnf( ~ $equal(e0,op(e3,e0)) ),[1],$fot(e0)]]) ).
cnf(refute_23_369,plain,
( e0 != e0
| e0 = op(e3,e0)
| op(e3,e0) = e2
| op(e3,e0) = e3
| op(e3,e0) = e4 ),
inference(resolve,[$cnf( $equal(op(e3,e0),e0) )],[refute_23_367,refute_23_368]) ).
cnf(refute_23_370,plain,
( e0 != e0
| op(e3,e0) = e2
| op(e3,e0) = e3
| op(e3,e0) = e4
| definitionFOFtoCNF_99 ),
inference(resolve,[$cnf( $equal(e0,op(e3,e0)) )],[refute_23_369,refute_23_361]) ).
cnf(refute_23_371,plain,
( op(e3,e0) = e2
| op(e3,e0) = e3
| op(e3,e0) = e4
| definitionFOFtoCNF_99 ),
inference(resolve,[$cnf( $equal(e0,e0) )],[refute_23_187,refute_23_370]) ).
cnf(refute_23_372,plain,
( e3 != e3
| op(e3,e0) != e3
| op(e3,e0) = e3 ),
introduced(tautology,[equality,[$cnf( $equal(op(e3,e0),e3) ),[0,0],$fot(e3)]]) ).
cnf(refute_23_373,plain,
( e3 != e3
| op(e3,e0) = e2
| op(e3,e0) = e3
| op(e3,e0) = e4
| definitionFOFtoCNF_99 ),
inference(resolve,[$cnf( $equal(op(e3,e0),e3) )],[refute_23_371,refute_23_372]) ).
cnf(refute_23_374,plain,
( e3 != e3
| op(e3,e0) = e2
| op(e3,e0) = e4
| definitionFOFtoCNF_99 ),
inference(resolve,[$cnf( $equal(op(e3,e0),e3) )],[refute_23_373,refute_23_357]) ).
cnf(refute_23_375,plain,
( op(e3,e0) = e2
| op(e3,e0) = e4
| definitionFOFtoCNF_99 ),
inference(resolve,[$cnf( $equal(e3,e3) )],[refute_23_343,refute_23_374]) ).
cnf(refute_23_376,plain,
( e2 != op(e4,e0)
| op(e3,e0) != e2
| op(e3,e0) = op(e4,e0) ),
introduced(tautology,[equality,[$cnf( $equal(op(e3,e0),e2) ),[1],$fot(op(e4,e0))]]) ).
cnf(refute_23_377,plain,
( e2 != op(e4,e0)
| op(e3,e0) = e4
| op(e3,e0) = op(e4,e0)
| definitionFOFtoCNF_99 ),
inference(resolve,[$cnf( $equal(op(e3,e0),e2) )],[refute_23_375,refute_23_376]) ).
cnf(refute_23_378,plain,
( e2 != op(e4,e0)
| op(e3,e0) = e4
| definitionFOFtoCNF_99 ),
inference(resolve,[$cnf( $equal(op(e3,e0),op(e4,e0)) )],[refute_23_377,refute_23_349]) ).
cnf(refute_23_379,plain,
( e2 != e2
| op(e4,e0) != e2
| e2 = op(e4,e0) ),
introduced(tautology,[equality,[$cnf( ~ $equal(e2,op(e4,e0)) ),[1],$fot(e2)]]) ).
cnf(refute_23_380,plain,
( e2 != e2
| e2 = op(e4,e0)
| op(e4,e0) = e3
| definitionFOFtoCNF_99 ),
inference(resolve,[$cnf( $equal(op(e4,e0),e2) )],[refute_23_339,refute_23_379]) ).
cnf(refute_23_381,plain,
( e2 != e2
| op(e3,e0) = e4
| op(e4,e0) = e3
| definitionFOFtoCNF_99 ),
inference(resolve,[$cnf( $equal(e2,op(e4,e0)) )],[refute_23_380,refute_23_378]) ).
cnf(refute_23_382,plain,
( op(e3,e0) = e4
| op(e4,e0) = e3
| definitionFOFtoCNF_99 ),
inference(resolve,[$cnf( $equal(e2,e2) )],[refute_23_166,refute_23_381]) ).
cnf(refute_23_383,plain,
( op(e4,e0) != e2
| op(e4,e0) != e3
| e2 = e3 ),
introduced(tautology,[equality,[$cnf( $equal(op(e4,e0),e3) ),[0],$fot(e2)]]) ).
cnf(refute_23_384,plain,
( op(e4,e0) != e3
| e2 = e3
| op(e0,e2) = e3
| definitionFOFtoCNF_99 ),
inference(resolve,[$cnf( $equal(op(e4,e0),e2) )],[refute_23_344,refute_23_383]) ).
cnf(refute_23_385,plain,
( e2 = e3
| op(e0,e2) = e3
| op(e3,e0) = e4
| definitionFOFtoCNF_99 ),
inference(resolve,[$cnf( $equal(op(e4,e0),e3) )],[refute_23_382,refute_23_384]) ).
cnf(refute_23_386,plain,
( op(e0,e2) = e3
| op(e3,e0) = e4
| definitionFOFtoCNF_99 ),
inference(resolve,[$cnf( $equal(e2,e3) )],[refute_23_385,refute_23_71]) ).
cnf(refute_23_387,plain,
( op(e0,op(e3,e0)) != e3
| op(e3,e0) != e4
| op(e0,e4) = e3 ),
introduced(tautology,[equality,[$cnf( $equal(op(e0,op(e3,e0)),e3) ),[0,1],$fot(e4)]]) ).
cnf(refute_23_388,plain,
( op(e0,op(e3,e0)) != e3
| op(e0,e2) = e3
| op(e0,e4) = e3
| definitionFOFtoCNF_99 ),
inference(resolve,[$cnf( $equal(op(e3,e0),e4) )],[refute_23_386,refute_23_387]) ).
cnf(refute_23_389,plain,
( op(e0,e2) = e3
| op(e0,e4) = e3
| op(e0,op(e2,e0)) = e2
| definitionFOFtoCNF_99 ),
inference(resolve,[$cnf( $equal(op(e0,op(e3,e0)),e3) )],[refute_23_348,refute_23_388]) ).
cnf(refute_23_390,plain,
( op(e0,e2) = e3
| op(e0,op(e2,e0)) = e2
| definitionFOFtoCNF_99 ),
inference(resolve,[$cnf( $equal(op(e0,e4),e3) )],[refute_23_389,refute_23_230]) ).
cnf(refute_23_391,plain,
( op(e0,op(e2,e0)) != e2
| op(e2,e0) != e1
| op(e0,e1) = e2 ),
introduced(tautology,[equality,[$cnf( $equal(op(e0,op(e2,e0)),e2) ),[0,1],$fot(e1)]]) ).
cnf(refute_23_392,plain,
( op(e0,op(e2,e0)) != e2
| op(e0,e1) = e2
| definitionFOFtoCNF_99 ),
inference(resolve,[$cnf( $equal(op(e2,e0),e1) )],[refute_23_326,refute_23_391]) ).
cnf(refute_23_393,plain,
( op(e0,e1) = e2
| op(e0,e2) = e3
| definitionFOFtoCNF_99 ),
inference(resolve,[$cnf( $equal(op(e0,op(e2,e0)),e2) )],[refute_23_390,refute_23_392]) ).
cnf(refute_23_394,plain,
( e3 != e3
| op(e0,e2) != e3
| op(e0,e2) = e3 ),
introduced(tautology,[equality,[$cnf( $equal(op(e0,e2),e3) ),[1],$fot(e3)]]) ).
cnf(refute_23_395,plain,
( e3 != e3
| op(e0,e1) = e2
| op(e0,e2) = e3
| definitionFOFtoCNF_99 ),
inference(resolve,[$cnf( $equal(op(e0,e2),e3) )],[refute_23_393,refute_23_394]) ).
cnf(refute_23_396,plain,
( e3 != e3
| op(e0,e1) = e2
| op(e4,e2) = e1
| definitionFOFtoCNF_99 ),
inference(resolve,[$cnf( $equal(op(e0,e2),e3) )],[refute_23_395,refute_23_79]) ).
cnf(refute_23_397,plain,
( op(e0,e1) = e2
| op(e4,e2) = e1
| definitionFOFtoCNF_99 ),
inference(resolve,[$cnf( $equal(e3,e3) )],[refute_23_343,refute_23_396]) ).
cnf(refute_23_398,plain,
( op(e0,op(e0,e2)) != e2
| ~ definitionFOFtoCNF_96 ),
inference(canonicalize,[],[normalize_23_76]) ).
cnf(refute_23_399,plain,
( op(unit,e2) != e2
| unit != e0
| op(e0,e2) = e2 ),
introduced(tautology,[equality,[$cnf( $equal(op(unit,e2),e2) ),[0,0],$fot(e0)]]) ).
cnf(refute_23_400,plain,
( op(unit,e2) != e2
| op(e0,e2) = e2
| unit = e1 ),
inference(resolve,[$cnf( $equal(unit,e0) )],[refute_23_133,refute_23_399]) ).
cnf(refute_23_401,plain,
( op(e0,e2) = e2
| unit = e1 ),
inference(resolve,[$cnf( $equal(op(unit,e2),e2) )],[refute_23_268,refute_23_400]) ).
cnf(refute_23_402,plain,
( op(e0,e2) != e2
| op(e0,op(e0,e2)) = e2 ),
introduced(tautology,[equality,[$cnf( ~ $equal(op(e0,op(e0,e2)),e2) ),[0,1],$fot(e2)]]) ).
cnf(refute_23_403,plain,
( op(e0,op(e0,e2)) = e2
| unit = e1 ),
inference(resolve,[$cnf( $equal(op(e0,e2),e2) )],[refute_23_401,refute_23_402]) ).
cnf(refute_23_404,plain,
( ~ definitionFOFtoCNF_96
| unit = e1 ),
inference(resolve,[$cnf( $equal(op(e0,op(e0,e2)),e2) )],[refute_23_403,refute_23_398]) ).
cnf(refute_23_405,plain,
op(e4,e0) != op(e4,e3),
inference(canonicalize,[],[normalize_23_77]) ).
cnf(refute_23_406,plain,
( op(e1,op(e1,e0)) != e0
| ~ definitionFOFtoCNF_99 ),
inference(canonicalize,[],[normalize_23_78]) ).
cnf(refute_23_407,plain,
( op(unit,e0) != e0
| op(e1,e0) = e0
| unit = e0 ),
inference(resolve,[$cnf( $equal(unit,e1) )],[refute_23_133,refute_23_316]) ).
cnf(refute_23_408,plain,
( op(e1,e0) = e0
| unit = e0 ),
inference(resolve,[$cnf( $equal(op(unit,e0),e0) )],[refute_23_87,refute_23_407]) ).
cnf(refute_23_409,plain,
( op(e1,e0) != e0
| op(e1,op(e1,e0)) = e0 ),
introduced(tautology,[equality,[$cnf( ~ $equal(op(e1,op(e1,e0)),e0) ),[0,1],$fot(e0)]]) ).
cnf(refute_23_410,plain,
( op(e1,op(e1,e0)) = e0
| unit = e0 ),
inference(resolve,[$cnf( $equal(op(e1,e0),e0) )],[refute_23_408,refute_23_409]) ).
cnf(refute_23_411,plain,
( ~ definitionFOFtoCNF_99
| unit = e0 ),
inference(resolve,[$cnf( $equal(op(e1,op(e1,e0)),e0) )],[refute_23_410,refute_23_406]) ).
cnf(refute_23_412,plain,
( op(e1,op(e1,e2)) != e2
| op(e2,op(e3,e2)) = e3
| op(e2,op(e4,e2)) = e4
| definitionFOFtoCNF_96 ),
inference(canonicalize,[],[normalize_23_82]) ).
cnf(refute_23_413,plain,
( op(e1,e2) != e2
| op(e1,op(e1,e2)) = e2 ),
introduced(tautology,[equality,[$cnf( ~ $equal(op(e1,op(e1,e2)),e2) ),[0,1],$fot(e2)]]) ).
cnf(refute_23_414,plain,
( op(e1,op(e1,e2)) = e2
| definitionFOFtoCNF_99 ),
inference(resolve,[$cnf( $equal(op(e1,e2),e2) )],[refute_23_271,refute_23_413]) ).
cnf(refute_23_415,plain,
( op(e2,op(e3,e2)) = e3
| op(e2,op(e4,e2)) = e4
| definitionFOFtoCNF_96
| definitionFOFtoCNF_99 ),
inference(resolve,[$cnf( $equal(op(e1,op(e1,e2)),e2) )],[refute_23_414,refute_23_412]) ).
cnf(refute_23_416,plain,
( op(e0,e2) != e1
| op(e4,e2) != e1
| op(e0,e2) = op(e4,e2) ),
introduced(tautology,[equality,[$cnf( ~ $equal(op(e0,e2),op(e4,e2)) ),[1],$fot(e1)]]) ).
cnf(refute_23_417,plain,
( op(e0,e2) != e1
| e3 = op(e4,e2)
| op(e0,e2) = op(e4,e2) ),
inference(resolve,[$cnf( $equal(op(e4,e2),e1) )],[refute_23_74,refute_23_416]) ).
cnf(refute_23_418,plain,
( op(e0,e2) != e1
| e3 = op(e4,e2) ),
inference(resolve,[$cnf( $equal(op(e0,e2),op(e4,e2)) )],[refute_23_417,refute_23_1]) ).
cnf(refute_23_419,plain,
( e3 != op(e4,e2)
| op(e0,e2) != e3
| op(e0,e2) = op(e4,e2) ),
introduced(tautology,[equality,[$cnf( $equal(op(e0,e2),e3) ),[1],$fot(op(e4,e2))]]) ).
cnf(refute_23_420,plain,
( e3 != op(e4,e2)
| op(e0,e2) = e1
| op(e0,e2) = op(e4,e2)
| definitionFOFtoCNF_99 ),
inference(resolve,[$cnf( $equal(op(e0,e2),e3) )],[refute_23_263,refute_23_419]) ).
cnf(refute_23_421,plain,
( e3 != op(e4,e2)
| op(e0,e2) = e1
| definitionFOFtoCNF_99 ),
inference(resolve,[$cnf( $equal(op(e0,e2),op(e4,e2)) )],[refute_23_420,refute_23_1]) ).
cnf(refute_23_422,plain,
( e3 != e3
| op(e4,e2) != e3
| e3 = op(e4,e2) ),
introduced(tautology,[equality,[$cnf( ~ $equal(e3,op(e4,e2)) ),[1],$fot(e3)]]) ).
cnf(refute_23_423,plain,
( e3 != e3
| e3 = op(e4,e2)
| op(e4,e2) = e1
| definitionFOFtoCNF_99 ),
inference(resolve,[$cnf( $equal(op(e4,e2),e3) )],[refute_23_278,refute_23_422]) ).
cnf(refute_23_424,plain,
( e3 != e3
| op(e0,e2) = e1
| op(e4,e2) = e1
| definitionFOFtoCNF_99 ),
inference(resolve,[$cnf( $equal(e3,op(e4,e2)) )],[refute_23_423,refute_23_421]) ).
cnf(refute_23_425,plain,
( op(e0,e2) = e1
| op(e4,e2) = e1
| definitionFOFtoCNF_99 ),
inference(resolve,[$cnf( $equal(e3,e3) )],[refute_23_343,refute_23_424]) ).
cnf(refute_23_426,plain,
( op(e2,op(e4,e2)) != e4
| op(e4,e2) != e1
| op(e2,e1) = e4 ),
introduced(tautology,[equality,[$cnf( $equal(op(e2,op(e4,e2)),e4) ),[0,1],$fot(e1)]]) ).
cnf(refute_23_427,plain,
( op(e2,op(e4,e2)) != e4
| op(e0,e2) = e1
| op(e2,e1) = e4
| definitionFOFtoCNF_99 ),
inference(resolve,[$cnf( $equal(op(e4,e2),e1) )],[refute_23_425,refute_23_426]) ).
cnf(refute_23_428,plain,
( op(e0,e2) = e1
| op(e2,e1) = e4
| op(e2,op(e3,e2)) = e3
| definitionFOFtoCNF_96
| definitionFOFtoCNF_99 ),
inference(resolve,[$cnf( $equal(op(e2,op(e4,e2)),e4) )],[refute_23_415,refute_23_427]) ).
cnf(refute_23_429,plain,
( op(e0,e2) = e1
| op(e2,op(e3,e2)) = e3
| definitionFOFtoCNF_96
| definitionFOFtoCNF_99 ),
inference(resolve,[$cnf( $equal(op(e2,e1),e4) )],[refute_23_428,refute_23_145]) ).
cnf(refute_23_430,plain,
op(e1,e2) != op(e3,e2),
inference(canonicalize,[],[normalize_23_83]) ).
cnf(refute_23_431,plain,
( e2 != op(e3,e2)
| op(e1,e2) != e2
| op(e1,e2) = op(e3,e2) ),
introduced(tautology,[equality,[$cnf( $equal(op(e1,e2),e2) ),[1],$fot(op(e3,e2))]]) ).
cnf(refute_23_432,plain,
( e2 != op(e3,e2)
| op(e1,e2) = op(e3,e2)
| definitionFOFtoCNF_99 ),
inference(resolve,[$cnf( $equal(op(e1,e2),e2) )],[refute_23_271,refute_23_431]) ).
cnf(refute_23_433,plain,
( e2 != op(e3,e2)
| definitionFOFtoCNF_99 ),
inference(resolve,[$cnf( $equal(op(e1,e2),op(e3,e2)) )],[refute_23_432,refute_23_430]) ).
cnf(refute_23_434,plain,
op(e3,e1) != op(e3,e2),
inference(canonicalize,[],[normalize_23_84]) ).
cnf(refute_23_435,plain,
( op(e3,e2) = e0
| op(e3,e2) = e1
| op(e3,e2) = e2
| op(e3,e2) = e3
| op(e3,e2) = e4 ),
inference(canonicalize,[],[normalize_23_85]) ).
cnf(refute_23_436,plain,
op(e2,e2) != op(e3,e2),
inference(canonicalize,[],[normalize_23_86]) ).
cnf(refute_23_437,plain,
( e4 != op(e3,e2)
| op(e2,e2) != e4
| op(e2,e2) = op(e3,e2) ),
introduced(tautology,[equality,[$cnf( $equal(op(e2,e2),e4) ),[1],$fot(op(e3,e2))]]) ).
cnf(refute_23_438,plain,
( e4 != op(e3,e2)
| op(e2,e2) = op(e3,e2) ),
inference(resolve,[$cnf( $equal(op(e2,e2),e4) )],[refute_23_9,refute_23_437]) ).
cnf(refute_23_439,plain,
e4 != op(e3,e2),
inference(resolve,[$cnf( $equal(op(e2,e2),op(e3,e2)) )],[refute_23_438,refute_23_436]) ).
cnf(refute_23_440,plain,
( op(e3,e2) != e4
| e4 = op(e3,e2) ),
inference(subst,[],[refute_23_7:[bind(X,$fot(op(e3,e2))),bind(Y,$fot(e4))]]) ).
cnf(refute_23_441,plain,
op(e3,e2) != e4,
inference(resolve,[$cnf( $equal(e4,op(e3,e2)) )],[refute_23_440,refute_23_439]) ).
cnf(refute_23_442,plain,
( op(e3,e2) = e0
| op(e3,e2) = e1
| op(e3,e2) = e2
| op(e3,e2) = e3 ),
inference(resolve,[$cnf( $equal(op(e3,e2),e4) )],[refute_23_435,refute_23_441]) ).
cnf(refute_23_443,plain,
op(e3,e2) != op(e3,e4),
inference(canonicalize,[],[normalize_23_87]) ).
cnf(refute_23_444,plain,
( op(e3,e2) != e1
| op(e3,e4) != e1
| op(e3,e2) = op(e3,e4) ),
introduced(tautology,[equality,[$cnf( ~ $equal(op(e3,e2),op(e3,e4)) ),[1],$fot(e1)]]) ).
cnf(refute_23_445,plain,
( op(e3,e2) != e1
| op(e3,e2) = op(e3,e4) ),
inference(resolve,[$cnf( $equal(op(e3,e4),e1) )],[refute_23_121,refute_23_444]) ).
cnf(refute_23_446,plain,
op(e3,e2) != e1,
inference(resolve,[$cnf( $equal(op(e3,e2),op(e3,e4)) )],[refute_23_445,refute_23_443]) ).
cnf(refute_23_447,plain,
( op(e3,e2) = e0
| op(e3,e2) = e2
| op(e3,e2) = e3 ),
inference(resolve,[$cnf( $equal(op(e3,e2),e1) )],[refute_23_442,refute_23_446]) ).
cnf(refute_23_448,plain,
( op(e3,e1) != e3
| op(e3,e2) != e3
| op(e3,e1) = op(e3,e2) ),
introduced(tautology,[equality,[$cnf( ~ $equal(op(e3,e1),op(e3,e2)) ),[1],$fot(e3)]]) ).
cnf(refute_23_449,plain,
( op(e3,e1) != e3
| op(e3,e1) = op(e3,e2)
| op(e3,e2) = e0
| op(e3,e2) = e2 ),
inference(resolve,[$cnf( $equal(op(e3,e2),e3) )],[refute_23_447,refute_23_448]) ).
cnf(refute_23_450,plain,
( op(e3,e1) != e3
| op(e3,e2) = e0
| op(e3,e2) = e2 ),
inference(resolve,[$cnf( $equal(op(e3,e1),op(e3,e2)) )],[refute_23_449,refute_23_434]) ).
cnf(refute_23_451,plain,
( e3 != e3
| op(e3,e1) != e3
| op(e3,e1) = e3 ),
introduced(tautology,[equality,[$cnf( $equal(op(e3,e1),e3) ),[0,0],$fot(e3)]]) ).
cnf(refute_23_452,plain,
( e3 != e3
| op(e3,e1) = e3
| definitionFOFtoCNF_99 ),
inference(resolve,[$cnf( $equal(op(e3,e1),e3) )],[refute_23_354,refute_23_451]) ).
cnf(refute_23_453,plain,
( e3 != e3
| op(e3,e2) = e0
| op(e3,e2) = e2
| definitionFOFtoCNF_99 ),
inference(resolve,[$cnf( $equal(op(e3,e1),e3) )],[refute_23_452,refute_23_450]) ).
cnf(refute_23_454,plain,
( op(e3,e2) = e0
| op(e3,e2) = e2
| definitionFOFtoCNF_99 ),
inference(resolve,[$cnf( $equal(e3,e3) )],[refute_23_343,refute_23_453]) ).
cnf(refute_23_455,plain,
( e2 != e2
| op(e3,e2) != e2
| e2 = op(e3,e2) ),
introduced(tautology,[equality,[$cnf( ~ $equal(e2,op(e3,e2)) ),[1],$fot(e2)]]) ).
cnf(refute_23_456,plain,
( e2 != e2
| e2 = op(e3,e2)
| op(e3,e2) = e0
| definitionFOFtoCNF_99 ),
inference(resolve,[$cnf( $equal(op(e3,e2),e2) )],[refute_23_454,refute_23_455]) ).
cnf(refute_23_457,plain,
( e2 != e2
| op(e3,e2) = e0
| definitionFOFtoCNF_99 ),
inference(resolve,[$cnf( $equal(e2,op(e3,e2)) )],[refute_23_456,refute_23_433]) ).
cnf(refute_23_458,plain,
( op(e3,e2) = e0
| definitionFOFtoCNF_99 ),
inference(resolve,[$cnf( $equal(e2,e2) )],[refute_23_166,refute_23_457]) ).
cnf(refute_23_459,plain,
( op(e2,op(e3,e2)) != e3
| op(e3,e2) != e0
| op(e2,e0) = e3 ),
introduced(tautology,[equality,[$cnf( $equal(op(e2,op(e3,e2)),e3) ),[0,1],$fot(e0)]]) ).
cnf(refute_23_460,plain,
( op(e2,op(e3,e2)) != e3
| op(e2,e0) = e3
| definitionFOFtoCNF_99 ),
inference(resolve,[$cnf( $equal(op(e3,e2),e0) )],[refute_23_458,refute_23_459]) ).
cnf(refute_23_461,plain,
( op(e0,e2) = e1
| op(e2,e0) = e3
| definitionFOFtoCNF_96
| definitionFOFtoCNF_99 ),
inference(resolve,[$cnf( $equal(op(e2,op(e3,e2)),e3) )],[refute_23_429,refute_23_460]) ).
cnf(refute_23_462,plain,
( op(e0,e2) = e1
| definitionFOFtoCNF_96
| definitionFOFtoCNF_99 ),
inference(resolve,[$cnf( $equal(op(e2,e0),e3) )],[refute_23_461,refute_23_311]) ).
cnf(refute_23_463,plain,
( e1 != e1
| op(e0,e2) != e1
| op(e0,e2) = e1 ),
introduced(tautology,[equality,[$cnf( $equal(op(e0,e2),e1) ),[1],$fot(e1)]]) ).
cnf(refute_23_464,plain,
( e1 != e1
| op(e0,e2) = e1
| definitionFOFtoCNF_96
| definitionFOFtoCNF_99 ),
inference(resolve,[$cnf( $equal(op(e0,e2),e1) )],[refute_23_462,refute_23_463]) ).
cnf(refute_23_465,plain,
( e1 != e1
| e3 = op(e4,e2)
| definitionFOFtoCNF_96
| definitionFOFtoCNF_99 ),
inference(resolve,[$cnf( $equal(op(e0,e2),e1) )],[refute_23_464,refute_23_418]) ).
cnf(refute_23_466,plain,
( e3 = op(e4,e2)
| definitionFOFtoCNF_96
| definitionFOFtoCNF_99 ),
inference(resolve,[$cnf( $equal(e1,e1) )],[refute_23_161,refute_23_465]) ).
cnf(refute_23_467,plain,
( op(e4,e2) = e3
| definitionFOFtoCNF_96
| definitionFOFtoCNF_99 ),
inference(resolve,[$cnf( $equal(e3,op(e4,e2)) )],[refute_23_466,refute_23_75]) ).
cnf(refute_23_468,plain,
( op(e2,op(e4,e2)) != e4
| op(e4,e2) != e3
| op(e2,e3) = e4 ),
introduced(tautology,[equality,[$cnf( $equal(op(e2,op(e4,e2)),e4) ),[0,1],$fot(e3)]]) ).
cnf(refute_23_469,plain,
( op(e2,op(e4,e2)) != e4
| op(e2,e3) = e4
| definitionFOFtoCNF_96
| definitionFOFtoCNF_99 ),
inference(resolve,[$cnf( $equal(op(e4,e2),e3) )],[refute_23_467,refute_23_468]) ).
cnf(refute_23_470,plain,
( op(e2,e3) = e4
| op(e2,op(e3,e2)) = e3
| definitionFOFtoCNF_96
| definitionFOFtoCNF_99 ),
inference(resolve,[$cnf( $equal(op(e2,op(e4,e2)),e4) )],[refute_23_415,refute_23_469]) ).
cnf(refute_23_471,plain,
op(e2,e2) != op(e2,e3),
inference(canonicalize,[],[normalize_23_88]) ).
cnf(refute_23_472,plain,
( e4 != op(e2,e3)
| op(e2,e2) != e4
| op(e2,e2) = op(e2,e3) ),
introduced(tautology,[equality,[$cnf( $equal(op(e2,e2),e4) ),[1],$fot(op(e2,e3))]]) ).
cnf(refute_23_473,plain,
( e4 != op(e2,e3)
| op(e2,e2) = op(e2,e3) ),
inference(resolve,[$cnf( $equal(op(e2,e2),e4) )],[refute_23_9,refute_23_472]) ).
cnf(refute_23_474,plain,
e4 != op(e2,e3),
inference(resolve,[$cnf( $equal(op(e2,e2),op(e2,e3)) )],[refute_23_473,refute_23_471]) ).
cnf(refute_23_475,plain,
( op(e2,e3) != e4
| e4 = op(e2,e3) ),
inference(subst,[],[refute_23_7:[bind(X,$fot(op(e2,e3))),bind(Y,$fot(e4))]]) ).
cnf(refute_23_476,plain,
op(e2,e3) != e4,
inference(resolve,[$cnf( $equal(e4,op(e2,e3)) )],[refute_23_475,refute_23_474]) ).
cnf(refute_23_477,plain,
( op(e2,op(e3,e2)) = e3
| definitionFOFtoCNF_96
| definitionFOFtoCNF_99 ),
inference(resolve,[$cnf( $equal(op(e2,e3),e4) )],[refute_23_470,refute_23_476]) ).
cnf(refute_23_478,plain,
( op(e2,e0) = e3
| definitionFOFtoCNF_96
| definitionFOFtoCNF_99 ),
inference(resolve,[$cnf( $equal(op(e2,op(e3,e2)),e3) )],[refute_23_477,refute_23_460]) ).
cnf(refute_23_479,plain,
( definitionFOFtoCNF_96
| definitionFOFtoCNF_99 ),
inference(resolve,[$cnf( $equal(op(e2,e0),e3) )],[refute_23_478,refute_23_311]) ).
cnf(refute_23_480,plain,
( unit = e0
| definitionFOFtoCNF_96 ),
inference(resolve,[$cnf( definitionFOFtoCNF_99 )],[refute_23_479,refute_23_411]) ).
cnf(refute_23_481,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_482,plain,
( op(e4,unit) != e4
| op(e4,e0) = e4
| definitionFOFtoCNF_96 ),
inference(resolve,[$cnf( $equal(unit,e0) )],[refute_23_480,refute_23_481]) ).
cnf(refute_23_483,plain,
( op(e4,e0) = e4
| definitionFOFtoCNF_96 ),
inference(resolve,[$cnf( $equal(op(e4,unit),e4) )],[refute_23_287,refute_23_482]) ).
cnf(refute_23_484,plain,
( e4 != op(e4,e3)
| op(e4,e0) != e4
| op(e4,e0) = op(e4,e3) ),
introduced(tautology,[equality,[$cnf( $equal(op(e4,e0),e4) ),[1],$fot(op(e4,e3))]]) ).
cnf(refute_23_485,plain,
( e4 != op(e4,e3)
| op(e4,e0) = op(e4,e3)
| definitionFOFtoCNF_96 ),
inference(resolve,[$cnf( $equal(op(e4,e0),e4) )],[refute_23_483,refute_23_484]) ).
cnf(refute_23_486,plain,
( e4 != op(e4,e3)
| definitionFOFtoCNF_96 ),
inference(resolve,[$cnf( $equal(op(e4,e0),op(e4,e3)) )],[refute_23_485,refute_23_405]) ).
cnf(refute_23_487,plain,
op(e0,e3) != op(e4,e3),
inference(canonicalize,[],[normalize_23_89]) ).
cnf(refute_23_488,plain,
( op(unit,e3) != e3
| unit != e0
| op(e0,e3) = e3 ),
introduced(tautology,[equality,[$cnf( $equal(op(unit,e3),e3) ),[0,0],$fot(e0)]]) ).
cnf(refute_23_489,plain,
( op(unit,e3) != e3
| op(e0,e3) = e3
| definitionFOFtoCNF_96 ),
inference(resolve,[$cnf( $equal(unit,e0) )],[refute_23_480,refute_23_488]) ).
cnf(refute_23_490,plain,
( op(e0,e3) = e3
| definitionFOFtoCNF_96 ),
inference(resolve,[$cnf( $equal(op(unit,e3),e3) )],[refute_23_89,refute_23_489]) ).
cnf(refute_23_491,plain,
( e3 != op(e4,e3)
| op(e0,e3) != e3
| op(e0,e3) = op(e4,e3) ),
introduced(tautology,[equality,[$cnf( $equal(op(e0,e3),e3) ),[1],$fot(op(e4,e3))]]) ).
cnf(refute_23_492,plain,
( e3 != op(e4,e3)
| op(e0,e3) = op(e4,e3)
| definitionFOFtoCNF_96 ),
inference(resolve,[$cnf( $equal(op(e0,e3),e3) )],[refute_23_490,refute_23_491]) ).
cnf(refute_23_493,plain,
( e3 != op(e4,e3)
| definitionFOFtoCNF_96 ),
inference(resolve,[$cnf( $equal(op(e0,e3),op(e4,e3)) )],[refute_23_492,refute_23_487]) ).
cnf(refute_23_494,plain,
op(op(e4,e3),e3) = e4,
inference(canonicalize,[],[normalize_23_90]) ).
cnf(refute_23_495,plain,
( op(e4,e3) = e0
| op(e4,e3) = e1
| op(e4,e3) = e2
| op(e4,e3) = e3
| op(e4,e3) = e4 ),
inference(canonicalize,[],[normalize_23_91]) ).
cnf(refute_23_496,plain,
op(e4,e3) != op(e4,e4),
inference(canonicalize,[],[normalize_23_92]) ).
cnf(refute_23_497,plain,
( op(e4,e3) != e0
| op(e4,e4) != e0
| op(e4,e3) = op(e4,e4) ),
introduced(tautology,[equality,[$cnf( ~ $equal(op(e4,e3),op(e4,e4)) ),[1],$fot(e0)]]) ).
cnf(refute_23_498,plain,
( op(e4,e3) != e0
| op(e4,e3) = op(e4,e4) ),
inference(resolve,[$cnf( $equal(op(e4,e4),e0) )],[refute_23_49,refute_23_497]) ).
cnf(refute_23_499,plain,
op(e4,e3) != e0,
inference(resolve,[$cnf( $equal(op(e4,e3),op(e4,e4)) )],[refute_23_498,refute_23_496]) ).
cnf(refute_23_500,plain,
( op(e4,e3) = e1
| op(e4,e3) = e2
| op(e4,e3) = e3
| op(e4,e3) = e4 ),
inference(resolve,[$cnf( $equal(op(e4,e3),e0) )],[refute_23_495,refute_23_499]) ).
cnf(refute_23_501,plain,
op(e3,e4) != op(e4,e3),
inference(canonicalize,[],[normalize_23_93]) ).
cnf(refute_23_502,plain,
( e1 != op(e4,e3)
| op(e3,e4) != e1
| op(e3,e4) = op(e4,e3) ),
introduced(tautology,[equality,[$cnf( $equal(op(e3,e4),e1) ),[1],$fot(op(e4,e3))]]) ).
cnf(refute_23_503,plain,
( e1 != op(e4,e3)
| op(e3,e4) = op(e4,e3) ),
inference(resolve,[$cnf( $equal(op(e3,e4),e1) )],[refute_23_121,refute_23_502]) ).
cnf(refute_23_504,plain,
e1 != op(e4,e3),
inference(resolve,[$cnf( $equal(op(e3,e4),op(e4,e3)) )],[refute_23_503,refute_23_501]) ).
cnf(refute_23_505,plain,
( op(e4,e3) != e1
| e1 = op(e4,e3) ),
inference(subst,[],[refute_23_7:[bind(X,$fot(op(e4,e3))),bind(Y,$fot(e1))]]) ).
cnf(refute_23_506,plain,
op(e4,e3) != e1,
inference(resolve,[$cnf( $equal(e1,op(e4,e3)) )],[refute_23_505,refute_23_504]) ).
cnf(refute_23_507,plain,
( op(e4,e3) = e2
| op(e4,e3) = e3
| op(e4,e3) = e4 ),
inference(resolve,[$cnf( $equal(op(e4,e3),e1) )],[refute_23_500,refute_23_506]) ).
cnf(refute_23_508,plain,
( op(e4,e3) != e2
| op(op(e4,e3),e3) != e4
| op(e2,e3) = e4 ),
introduced(tautology,[equality,[$cnf( $equal(op(op(e4,e3),e3),e4) ),[0,0],$fot(e2)]]) ).
cnf(refute_23_509,plain,
( op(op(e4,e3),e3) != e4
| op(e2,e3) = e4
| op(e4,e3) = e3
| op(e4,e3) = e4 ),
inference(resolve,[$cnf( $equal(op(e4,e3),e2) )],[refute_23_507,refute_23_508]) ).
cnf(refute_23_510,plain,
( op(e2,e3) = e4
| op(e4,e3) = e3
| op(e4,e3) = e4 ),
inference(resolve,[$cnf( $equal(op(op(e4,e3),e3),e4) )],[refute_23_494,refute_23_509]) ).
cnf(refute_23_511,plain,
( op(e4,e3) = e3
| op(e4,e3) = e4 ),
inference(resolve,[$cnf( $equal(op(e2,e3),e4) )],[refute_23_510,refute_23_476]) ).
cnf(refute_23_512,plain,
( e3 != e3
| op(e4,e3) != e3
| e3 = op(e4,e3) ),
introduced(tautology,[equality,[$cnf( ~ $equal(e3,op(e4,e3)) ),[1],$fot(e3)]]) ).
cnf(refute_23_513,plain,
( e3 != e3
| e3 = op(e4,e3)
| op(e4,e3) = e4 ),
inference(resolve,[$cnf( $equal(op(e4,e3),e3) )],[refute_23_511,refute_23_512]) ).
cnf(refute_23_514,plain,
( e3 != e3
| op(e4,e3) = e4
| definitionFOFtoCNF_96 ),
inference(resolve,[$cnf( $equal(e3,op(e4,e3)) )],[refute_23_513,refute_23_493]) ).
cnf(refute_23_515,plain,
( op(e4,e3) = e4
| definitionFOFtoCNF_96 ),
inference(resolve,[$cnf( $equal(e3,e3) )],[refute_23_343,refute_23_514]) ).
cnf(refute_23_516,plain,
( e4 != e4
| op(e4,e3) != e4
| e4 = op(e4,e3) ),
introduced(tautology,[equality,[$cnf( ~ $equal(e4,op(e4,e3)) ),[1],$fot(e4)]]) ).
cnf(refute_23_517,plain,
( e4 != e4
| e4 = op(e4,e3)
| definitionFOFtoCNF_96 ),
inference(resolve,[$cnf( $equal(op(e4,e3),e4) )],[refute_23_515,refute_23_516]) ).
cnf(refute_23_518,plain,
( e4 != e4
| definitionFOFtoCNF_96 ),
inference(resolve,[$cnf( $equal(e4,op(e4,e3)) )],[refute_23_517,refute_23_486]) ).
cnf(refute_23_519,plain,
definitionFOFtoCNF_96,
inference(resolve,[$cnf( $equal(e4,e4) )],[refute_23_62,refute_23_518]) ).
cnf(refute_23_520,plain,
unit = e1,
inference(resolve,[$cnf( definitionFOFtoCNF_96 )],[refute_23_519,refute_23_404]) ).
cnf(refute_23_521,plain,
op(e0,unit) = op(e0,unit),
introduced(tautology,[refl,[$fot(op(e0,unit))]]) ).
cnf(refute_23_522,plain,
( op(e0,unit) != op(e0,unit)
| unit != e1
| op(e0,unit) = op(e0,e1) ),
introduced(tautology,[equality,[$cnf( $equal(op(e0,unit),op(e0,unit)) ),[1,1],$fot(e1)]]) ).
cnf(refute_23_523,plain,
( unit != e1
| op(e0,unit) = op(e0,e1) ),
inference(resolve,[$cnf( $equal(op(e0,unit),op(e0,unit)) )],[refute_23_521,refute_23_522]) ).
cnf(refute_23_524,plain,
op(e0,unit) = op(e0,e1),
inference(resolve,[$cnf( $equal(unit,e1) )],[refute_23_520,refute_23_523]) ).
cnf(refute_23_525,plain,
( op(e0,unit) != e0
| op(e0,unit) != op(e0,e1)
| op(e0,e1) = e0 ),
introduced(tautology,[equality,[$cnf( $equal(op(e0,unit),e0) ),[0],$fot(op(e0,e1))]]) ).
cnf(refute_23_526,plain,
( op(e0,unit) != e0
| op(e0,e1) = e0 ),
inference(resolve,[$cnf( $equal(op(e0,unit),op(e0,e1)) )],[refute_23_524,refute_23_525]) ).
cnf(refute_23_527,plain,
op(e0,e1) = e0,
inference(resolve,[$cnf( $equal(op(e0,unit),e0) )],[refute_23_83,refute_23_526]) ).
cnf(refute_23_528,plain,
( op(e0,e1) != e0
| op(e0,e1) != e2
| e0 = e2 ),
introduced(tautology,[equality,[$cnf( $equal(op(e0,e1),e2) ),[0],$fot(e0)]]) ).
cnf(refute_23_529,plain,
( op(e0,e1) != e2
| e0 = e2 ),
inference(resolve,[$cnf( $equal(op(e0,e1),e0) )],[refute_23_527,refute_23_528]) ).
cnf(refute_23_530,plain,
( e0 = e2
| op(e4,e2) = e1
| definitionFOFtoCNF_99 ),
inference(resolve,[$cnf( $equal(op(e0,e1),e2) )],[refute_23_397,refute_23_529]) ).
cnf(refute_23_531,plain,
e0 != e2,
inference(canonicalize,[],[normalize_23_94]) ).
cnf(refute_23_532,plain,
( op(e4,e2) = e1
| definitionFOFtoCNF_99 ),
inference(resolve,[$cnf( $equal(e0,e2) )],[refute_23_530,refute_23_531]) ).
cnf(refute_23_533,plain,
op(unit,e0) = op(unit,e0),
introduced(tautology,[refl,[$fot(op(unit,e0))]]) ).
cnf(refute_23_534,plain,
( op(unit,e0) != op(unit,e0)
| unit != e1
| op(unit,e0) = op(e1,e0) ),
introduced(tautology,[equality,[$cnf( $equal(op(unit,e0),op(unit,e0)) ),[1,0],$fot(e1)]]) ).
cnf(refute_23_535,plain,
( unit != e1
| op(unit,e0) = op(e1,e0) ),
inference(resolve,[$cnf( $equal(op(unit,e0),op(unit,e0)) )],[refute_23_533,refute_23_534]) ).
cnf(refute_23_536,plain,
op(unit,e0) = op(e1,e0),
inference(resolve,[$cnf( $equal(unit,e1) )],[refute_23_520,refute_23_535]) ).
cnf(refute_23_537,plain,
( op(unit,e0) != e0
| op(unit,e0) != op(e1,e0)
| op(e1,e0) = e0 ),
introduced(tautology,[equality,[$cnf( $equal(op(unit,e0),e0) ),[0],$fot(op(e1,e0))]]) ).
cnf(refute_23_538,plain,
( op(unit,e0) != e0
| op(e1,e0) = e0 ),
inference(resolve,[$cnf( $equal(op(unit,e0),op(e1,e0)) )],[refute_23_536,refute_23_537]) ).
cnf(refute_23_539,plain,
op(e1,e0) = e0,
inference(resolve,[$cnf( $equal(op(unit,e0),e0) )],[refute_23_87,refute_23_538]) ).
cnf(refute_23_540,plain,
op(e1,op(e1,e0)) = e0,
inference(resolve,[$cnf( $equal(op(e1,e0),e0) )],[refute_23_539,refute_23_409]) ).
cnf(refute_23_541,plain,
( e0 != e0
| op(e1,op(e1,e0)) != e0
| op(e1,op(e1,e0)) = e0 ),
introduced(tautology,[equality,[$cnf( $equal(op(e1,op(e1,e0)),e0) ),[0,1,1],$fot(e0)]]) ).
cnf(refute_23_542,plain,
( e0 != e0
| op(e1,op(e1,e0)) = e0 ),
inference(resolve,[$cnf( $equal(op(e1,op(e1,e0)),e0) )],[refute_23_540,refute_23_541]) ).
cnf(refute_23_543,plain,
( e0 != e0
| ~ definitionFOFtoCNF_99 ),
inference(resolve,[$cnf( $equal(op(e1,op(e1,e0)),e0) )],[refute_23_542,refute_23_406]) ).
cnf(refute_23_544,plain,
~ definitionFOFtoCNF_99,
inference(resolve,[$cnf( $equal(e0,e0) )],[refute_23_187,refute_23_543]) ).
cnf(refute_23_545,plain,
op(e4,e2) = e1,
inference(resolve,[$cnf( definitionFOFtoCNF_99 )],[refute_23_532,refute_23_544]) ).
cnf(refute_23_546,plain,
( op(unit,e4) != e4
| op(e1,e4) = e4
| unit = e0 ),
inference(resolve,[$cnf( $equal(unit,e1) )],[refute_23_133,refute_23_250]) ).
cnf(refute_23_547,plain,
( op(e1,e4) = e4
| unit = e0 ),
inference(resolve,[$cnf( $equal(op(unit,e4),e4) )],[refute_23_249,refute_23_546]) ).
cnf(refute_23_548,plain,
( op(e0,e4) != e4
| op(e0,e4) = op(e1,e4)
| unit = e0 ),
inference(resolve,[$cnf( $equal(op(e1,e4),e4) )],[refute_23_547,refute_23_212]) ).
cnf(refute_23_549,plain,
( op(e0,e4) != e4
| unit = e0 ),
inference(resolve,[$cnf( $equal(op(e0,e4),op(e1,e4)) )],[refute_23_548,refute_23_195]) ).
cnf(refute_23_550,plain,
( e4 != e4
| op(e0,e4) = e2
| op(e0,e4) = e4 ),
inference(resolve,[$cnf( $equal(op(e0,e4),e4) )],[refute_23_231,refute_23_245]) ).
cnf(refute_23_551,plain,
( e4 != e4
| op(e0,e4) = e2
| unit = e0 ),
inference(resolve,[$cnf( $equal(op(e0,e4),e4) )],[refute_23_550,refute_23_549]) ).
cnf(refute_23_552,plain,
( op(e0,e4) = e2
| unit = e0 ),
inference(resolve,[$cnf( $equal(e4,e4) )],[refute_23_62,refute_23_551]) ).
cnf(refute_23_553,plain,
( unit != e0
| unit != e1
| e1 = e0 ),
introduced(tautology,[equality,[$cnf( $equal(unit,e0) ),[0],$fot(e1)]]) ).
cnf(refute_23_554,plain,
( unit != e0
| e1 = e0 ),
inference(resolve,[$cnf( $equal(unit,e1) )],[refute_23_520,refute_23_553]) ).
cnf(refute_23_555,plain,
( e1 = e0
| op(e0,e4) = e2 ),
inference(resolve,[$cnf( $equal(unit,e0) )],[refute_23_552,refute_23_554]) ).
cnf(refute_23_556,plain,
e0 != e1,
inference(canonicalize,[],[normalize_23_95]) ).
cnf(refute_23_557,plain,
( e1 != e0
| e0 = e1 ),
inference(subst,[],[refute_23_7:[bind(X,$fot(e1)),bind(Y,$fot(e0))]]) ).
cnf(refute_23_558,plain,
e1 != e0,
inference(resolve,[$cnf( $equal(e0,e1) )],[refute_23_557,refute_23_556]) ).
cnf(refute_23_559,plain,
op(e0,e4) = e2,
inference(resolve,[$cnf( $equal(e1,e0) )],[refute_23_555,refute_23_558]) ).
cnf(refute_23_560,plain,
op(e4,op(e0,e4)) = op(e4,op(e0,e4)),
introduced(tautology,[refl,[$fot(op(e4,op(e0,e4)))]]) ).
cnf(refute_23_561,plain,
( op(e0,e4) != e2
| op(e4,op(e0,e4)) != op(e4,op(e0,e4))
| op(e4,op(e0,e4)) = op(e4,e2) ),
introduced(tautology,[equality,[$cnf( $equal(op(e4,op(e0,e4)),op(e4,op(e0,e4))) ),[1,1],$fot(e2)]]) ).
cnf(refute_23_562,plain,
( op(e0,e4) != e2
| op(e4,op(e0,e4)) = op(e4,e2) ),
inference(resolve,[$cnf( $equal(op(e4,op(e0,e4)),op(e4,op(e0,e4))) )],[refute_23_560,refute_23_561]) ).
cnf(refute_23_563,plain,
op(e4,op(e0,e4)) = op(e4,e2),
inference(resolve,[$cnf( $equal(op(e0,e4),e2) )],[refute_23_559,refute_23_562]) ).
cnf(refute_23_564,plain,
( op(e4,e2) != e1
| op(e4,op(e0,e4)) != op(e4,e2)
| op(e4,op(e0,e4)) = e1 ),
inference(subst,[],[refute_23_41:[bind(X,$fot(op(e4,op(e0,e4)))),bind(Y,$fot(op(e4,e2))),bind(Z,$fot(e1))]]) ).
cnf(refute_23_565,plain,
( op(e4,e2) != e1
| op(e4,op(e0,e4)) = e1 ),
inference(resolve,[$cnf( $equal(op(e4,op(e0,e4)),op(e4,e2)) )],[refute_23_563,refute_23_564]) ).
cnf(refute_23_566,plain,
op(e4,op(e0,e4)) = e1,
inference(resolve,[$cnf( $equal(op(e4,e2),e1) )],[refute_23_545,refute_23_565]) ).
cnf(refute_23_567,plain,
( op(e4,op(e0,e4)) != e0
| op(e4,op(e0,e4)) != e1
| e1 = e0 ),
introduced(tautology,[equality,[$cnf( $equal(op(e4,op(e0,e4)),e0) ),[0],$fot(e1)]]) ).
cnf(refute_23_568,plain,
( op(e4,op(e0,e4)) != e0
| e1 = e0 ),
inference(resolve,[$cnf( $equal(op(e4,op(e0,e4)),e1) )],[refute_23_566,refute_23_567]) ).
cnf(refute_23_569,plain,
( ~ definitionFOFtoCNF_98
| e1 = e0 ),
inference(resolve,[$cnf( $equal(op(e4,op(e0,e4)),e0) )],[refute_23_0,refute_23_568]) ).
cnf(refute_23_570,plain,
( op(op(e4,e1),e1) != e4
| op(e1,e4) = op(e4,e1)
| op(op(e4,e1),e4) = e1 ),
inference(canonicalize,[],[normalize_23_96]) ).
cnf(refute_23_571,plain,
( op(e4,e1) != e4
| op(op(e4,e1),e1) = e4 ),
introduced(tautology,[equality,[$cnf( ~ $equal(op(op(e4,e1),e1),e4) ),[0,0],$fot(e4)]]) ).
cnf(refute_23_572,plain,
( op(op(e4,e1),e1) = e4
| definitionFOFtoCNF_99 ),
inference(resolve,[$cnf( $equal(op(e4,e1),e4) )],[refute_23_290,refute_23_571]) ).
cnf(refute_23_573,plain,
( op(e1,e4) = op(e4,e1)
| op(op(e4,e1),e4) = e1
| definitionFOFtoCNF_99 ),
inference(resolve,[$cnf( $equal(op(op(e4,e1),e1),e4) )],[refute_23_572,refute_23_570]) ).
cnf(refute_23_574,plain,
( op(e4,e1) != e4
| op(op(e4,e1),e4) != e1
| op(e4,e4) = e1 ),
introduced(tautology,[equality,[$cnf( $equal(op(op(e4,e1),e4),e1) ),[0,0],$fot(e4)]]) ).
cnf(refute_23_575,plain,
( op(op(e4,e1),e4) != e1
| op(e4,e4) = e1
| definitionFOFtoCNF_99 ),
inference(resolve,[$cnf( $equal(op(e4,e1),e4) )],[refute_23_290,refute_23_574]) ).
cnf(refute_23_576,plain,
( op(e1,e4) = op(e4,e1)
| op(e4,e4) = e1
| definitionFOFtoCNF_99 ),
inference(resolve,[$cnf( $equal(op(op(e4,e1),e4),e1) )],[refute_23_573,refute_23_575]) ).
cnf(refute_23_577,plain,
( op(e4,e4) != e0
| op(e4,e4) != e1
| e0 = e1 ),
introduced(tautology,[equality,[$cnf( $equal(op(e4,e4),e1) ),[0],$fot(e0)]]) ).
cnf(refute_23_578,plain,
( op(e4,e4) != e1
| e0 = e1 ),
inference(resolve,[$cnf( $equal(op(e4,e4),e0) )],[refute_23_49,refute_23_577]) ).
cnf(refute_23_579,plain,
( e0 = e1
| op(e1,e4) = op(e4,e1)
| definitionFOFtoCNF_99 ),
inference(resolve,[$cnf( $equal(op(e4,e4),e1) )],[refute_23_576,refute_23_578]) ).
cnf(refute_23_580,plain,
( op(e1,e4) = op(e4,e1)
| definitionFOFtoCNF_99 ),
inference(resolve,[$cnf( $equal(e0,e1) )],[refute_23_579,refute_23_556]) ).
cnf(refute_23_581,plain,
( op(e1,op(e1,e4)) != e4
| op(e4,op(e2,e4)) = e2
| op(e4,op(e3,e4)) = e3
| definitionFOFtoCNF_98 ),
inference(canonicalize,[],[normalize_23_100]) ).
cnf(refute_23_582,plain,
op(e4,op(e2,e4)) = op(e4,op(e2,e4)),
introduced(tautology,[refl,[$fot(op(e4,op(e2,e4)))]]) ).
cnf(refute_23_583,plain,
( op(e2,e4) != e3
| op(e4,op(e2,e4)) != op(e4,op(e2,e4))
| op(e4,op(e2,e4)) = op(e4,e3) ),
introduced(tautology,[equality,[$cnf( $equal(op(e4,op(e2,e4)),op(e4,op(e2,e4))) ),[1,1],$fot(e3)]]) ).
cnf(refute_23_584,plain,
( op(e2,e4) != e3
| op(e4,op(e2,e4)) = op(e4,e3) ),
inference(resolve,[$cnf( $equal(op(e4,op(e2,e4)),op(e4,op(e2,e4))) )],[refute_23_582,refute_23_583]) ).
cnf(refute_23_585,plain,
op(e4,op(e2,e4)) = op(e4,e3),
inference(resolve,[$cnf( $equal(op(e2,e4),e3) )],[refute_23_18,refute_23_584]) ).
cnf(refute_23_586,plain,
( op(e4,op(e2,e4)) != e2
| op(e4,op(e2,e4)) != op(e4,e3)
| op(e4,e3) = e2 ),
introduced(tautology,[equality,[$cnf( $equal(op(e4,op(e2,e4)),e2) ),[0],$fot(op(e4,e3))]]) ).
cnf(refute_23_587,plain,
( op(e4,op(e2,e4)) != e2
| op(e4,e3) = e2 ),
inference(resolve,[$cnf( $equal(op(e4,op(e2,e4)),op(e4,e3)) )],[refute_23_585,refute_23_586]) ).
cnf(refute_23_588,plain,
( op(e1,op(e1,e4)) != e4
| op(e4,e3) = e2
| op(e4,op(e3,e4)) = e3
| definitionFOFtoCNF_98 ),
inference(resolve,[$cnf( $equal(op(e4,op(e2,e4)),e2) )],[refute_23_581,refute_23_587]) ).
cnf(refute_23_589,plain,
op(e4,op(e3,e4)) = op(e4,op(e3,e4)),
introduced(tautology,[refl,[$fot(op(e4,op(e3,e4)))]]) ).
cnf(refute_23_590,plain,
( op(e3,e4) != e1
| op(e4,op(e3,e4)) != op(e4,op(e3,e4))
| op(e4,op(e3,e4)) = op(e4,e1) ),
introduced(tautology,[equality,[$cnf( $equal(op(e4,op(e3,e4)),op(e4,op(e3,e4))) ),[1,1],$fot(e1)]]) ).
cnf(refute_23_591,plain,
( op(e3,e4) != e1
| op(e4,op(e3,e4)) = op(e4,e1) ),
inference(resolve,[$cnf( $equal(op(e4,op(e3,e4)),op(e4,op(e3,e4))) )],[refute_23_589,refute_23_590]) ).
cnf(refute_23_592,plain,
op(e4,op(e3,e4)) = op(e4,e1),
inference(resolve,[$cnf( $equal(op(e3,e4),e1) )],[refute_23_121,refute_23_591]) ).
cnf(refute_23_593,plain,
( op(e4,op(e3,e4)) != e3
| op(e4,op(e3,e4)) != op(e4,e1)
| op(e4,e1) = e3 ),
introduced(tautology,[equality,[$cnf( $equal(op(e4,op(e3,e4)),e3) ),[0],$fot(op(e4,e1))]]) ).
cnf(refute_23_594,plain,
( op(e4,op(e3,e4)) != e3
| op(e4,e1) = e3 ),
inference(resolve,[$cnf( $equal(op(e4,op(e3,e4)),op(e4,e1)) )],[refute_23_592,refute_23_593]) ).
cnf(refute_23_595,plain,
( op(e1,op(e1,e4)) != e4
| op(e4,e1) = e3
| op(e4,e3) = e2
| definitionFOFtoCNF_98 ),
inference(resolve,[$cnf( $equal(op(e4,op(e3,e4)),e3) )],[refute_23_588,refute_23_594]) ).
cnf(refute_23_596,plain,
( op(e1,e4) != e4
| op(e1,op(e1,e4)) = e4 ),
introduced(tautology,[equality,[$cnf( ~ $equal(op(e1,op(e1,e4)),e4) ),[0,1],$fot(e4)]]) ).
cnf(refute_23_597,plain,
( op(e1,op(e1,e4)) = e4
| definitionFOFtoCNF_99 ),
inference(resolve,[$cnf( $equal(op(e1,e4),e4) )],[refute_23_252,refute_23_596]) ).
cnf(refute_23_598,plain,
( op(e4,e1) = e3
| op(e4,e3) = e2
| definitionFOFtoCNF_98
| definitionFOFtoCNF_99 ),
inference(resolve,[$cnf( $equal(op(e1,op(e1,e4)),e4) )],[refute_23_597,refute_23_595]) ).
cnf(refute_23_599,plain,
( op(op(e4,e3),e3) != e4
| op(e2,e3) = e4
| op(e4,e1) = e3
| definitionFOFtoCNF_98
| definitionFOFtoCNF_99 ),
inference(resolve,[$cnf( $equal(op(e4,e3),e2) )],[refute_23_598,refute_23_508]) ).
cnf(refute_23_600,plain,
( op(e2,e3) = e4
| op(e4,e1) = e3
| definitionFOFtoCNF_98
| definitionFOFtoCNF_99 ),
inference(resolve,[$cnf( $equal(op(op(e4,e3),e3),e4) )],[refute_23_494,refute_23_599]) ).
cnf(refute_23_601,plain,
( op(e4,e1) = e3
| definitionFOFtoCNF_98
| definitionFOFtoCNF_99 ),
inference(resolve,[$cnf( $equal(op(e2,e3),e4) )],[refute_23_600,refute_23_476]) ).
cnf(refute_23_602,plain,
( op(e1,e4) != op(e4,e1)
| op(e4,e1) != e3
| op(e1,e4) = e3 ),
introduced(tautology,[equality,[$cnf( ~ $equal(op(e1,e4),e3) ),[0],$fot(op(e4,e1))]]) ).
cnf(refute_23_603,plain,
( op(e1,e4) != op(e4,e1)
| op(e1,e4) = e3
| definitionFOFtoCNF_98
| definitionFOFtoCNF_99 ),
inference(resolve,[$cnf( $equal(op(e4,e1),e3) )],[refute_23_601,refute_23_602]) ).
cnf(refute_23_604,plain,
( op(e1,e4) = e3
| definitionFOFtoCNF_98
| definitionFOFtoCNF_99 ),
inference(resolve,[$cnf( $equal(op(e1,e4),op(e4,e1)) )],[refute_23_580,refute_23_603]) ).
cnf(refute_23_605,plain,
( definitionFOFtoCNF_98
| definitionFOFtoCNF_99 ),
inference(resolve,[$cnf( $equal(op(e1,e4),e3) )],[refute_23_604,refute_23_210]) ).
cnf(refute_23_606,plain,
( unit = e0
| definitionFOFtoCNF_98 ),
inference(resolve,[$cnf( definitionFOFtoCNF_99 )],[refute_23_605,refute_23_411]) ).
cnf(refute_23_607,plain,
( e1 = e0
| definitionFOFtoCNF_98 ),
inference(resolve,[$cnf( $equal(unit,e0) )],[refute_23_606,refute_23_554]) ).
cnf(refute_23_608,plain,
definitionFOFtoCNF_98,
inference(resolve,[$cnf( $equal(e1,e0) )],[refute_23_607,refute_23_558]) ).
cnf(refute_23_609,plain,
e1 = e0,
inference(resolve,[$cnf( definitionFOFtoCNF_98 )],[refute_23_608,refute_23_569]) ).
cnf(refute_23_610,plain,
$false,
inference(resolve,[$cnf( $equal(e1,e0) )],[refute_23_609,refute_23_558]) ).
fof(negate_24_0,plain,
~ ( ( ( ( op(e0,op(e0,e0)) != e0
& op(e0,op(e0,e0)) = e0 )
| ( op(e1,op(e1,e0)) != e0
& op(e0,op(e1,e0)) = e1 )
| ( op(e2,op(e2,e0)) != e0
& op(e0,op(e2,e0)) = e2 )
| ( op(e3,op(e3,e0)) != e0
& op(e0,op(e3,e0)) = e3 )
| ( op(e4,op(e4,e0)) != e0
& op(e0,op(e4,e0)) = e4 ) )
& ( ( op(e0,op(e0,e1)) != e1
& op(e1,op(e0,e1)) = e0 )
| ( op(e1,op(e1,e1)) != e1
& op(e1,op(e1,e1)) = e1 )
| ( op(e2,op(e2,e1)) != e1
& op(e1,op(e2,e1)) = e2 )
| ( op(e3,op(e3,e1)) != e1
& op(e1,op(e3,e1)) = e3 )
| ( op(e4,op(e4,e1)) != e1
& op(e1,op(e4,e1)) = e4 ) )
& ( ( op(e0,op(e0,e2)) != e2
& op(e2,op(e0,e2)) = e0 )
| ( op(e1,op(e1,e2)) != e2
& op(e2,op(e1,e2)) = e1 )
| ( op(e2,op(e2,e2)) != e2
& op(e2,op(e2,e2)) = e2 )
| ( op(e3,op(e3,e2)) != e2
& op(e2,op(e3,e2)) = e3 )
| ( op(e4,op(e4,e2)) != e2
& op(e2,op(e4,e2)) = e4 ) )
& ( ( op(e0,op(e0,e3)) != e3
& op(e3,op(e0,e3)) = e0 )
| ( op(e1,op(e1,e3)) != e3
& op(e3,op(e1,e3)) = e1 )
| ( op(e2,op(e2,e3)) != e3
& op(e3,op(e2,e3)) = e2 )
| ( op(e3,op(e3,e3)) != e3
& op(e3,op(e3,e3)) = e3 )
| ( op(e4,op(e4,e3)) != e3
& op(e3,op(e4,e3)) = e4 ) )
& ( ( op(e0,op(e0,e4)) != e4
& op(e4,op(e0,e4)) = e0 )
| ( op(e1,op(e1,e4)) != e4
& op(e4,op(e1,e4)) = e1 )
| ( op(e2,op(e2,e4)) != e4
& op(e4,op(e2,e4)) = e2 )
| ( op(e3,op(e3,e4)) != e4
& op(e4,op(e3,e4)) = e3 )
| ( op(e4,op(e4,e4)) != e4
& op(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 : ALG057+1 : TPTP v8.1.0. Released v2.7.0.
% 0.03/0.12 % Command : metis --show proof --show saturation %s
% 0.12/0.33 % Computer : n028.cluster.edu
% 0.12/0.33 % Model : x86_64 x86_64
% 0.12/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33 % Memory : 8042.1875MB
% 0.12/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33 % CPULimit : 300
% 0.12/0.33 % WCLimit : 600
% 0.12/0.33 % DateTime : Wed Jun 8 19:46:01 EDT 2022
% 0.12/0.33 % CPUTime :
% 0.12/0.34 %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
% 10.51/10.72 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p
% 10.51/10.72
% 10.51/10.72 % SZS output start CNFRefutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% See solution above
% 11.08/11.25
%------------------------------------------------------------------------------