%------------------------------------------------------------------------------
% File : Metis---2.4
% Problem : ALG192+1 : TPTP v8.1.0. Released v2.7.0.
% Transfm : none
% Format : tptp:raw
% Command : metis --show proof --show saturation %s
% Computer : n026.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 600s
% DateTime : Thu Jul 14 17:38:39 EDT 2022
% Result : Unsatisfiable 14.84s 15.02s
% Output : CNFRefutation 14.84s
% Verified :
% SZS Type : Refutation
% Derivation depth : 161
% Number of leaves : 243
% Syntax : Number of formulae : 1015 ( 216 unt; 0 def)
% Number of atoms : 3840 (3839 equ)
% Maximal formula atoms : 250 ( 3 avg)
% Number of connectives : 4093 (1268 ~;2355 |; 470 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 101 ( 4 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 3 ( 0 usr; 1 prp; 0-2 aty)
% Number of functors : 6 ( 6 usr; 5 con; 0-2 aty)
% Number of variables : 11 ( 0 sgn 0 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(ax1,axiom,
( ( op(e0,e0) = e0
| op(e0,e0) = e1
| op(e0,e0) = e2
| op(e0,e0) = e3
| op(e0,e0) = e4 )
& ( op(e0,e1) = e0
| op(e0,e1) = e1
| op(e0,e1) = e2
| op(e0,e1) = e3
| op(e0,e1) = e4 )
& ( op(e0,e2) = e0
| op(e0,e2) = e1
| op(e0,e2) = e2
| op(e0,e2) = e3
| op(e0,e2) = e4 )
& ( op(e0,e3) = e0
| op(e0,e3) = e1
| op(e0,e3) = e2
| op(e0,e3) = e3
| op(e0,e3) = e4 )
& ( op(e0,e4) = e0
| op(e0,e4) = e1
| op(e0,e4) = e2
| op(e0,e4) = e3
| op(e0,e4) = e4 )
& ( op(e1,e0) = e0
| op(e1,e0) = e1
| op(e1,e0) = e2
| op(e1,e0) = e3
| op(e1,e0) = e4 )
& ( op(e1,e1) = e0
| op(e1,e1) = e1
| op(e1,e1) = e2
| op(e1,e1) = e3
| op(e1,e1) = e4 )
& ( op(e1,e2) = e0
| op(e1,e2) = e1
| op(e1,e2) = e2
| op(e1,e2) = e3
| op(e1,e2) = e4 )
& ( op(e1,e3) = e0
| op(e1,e3) = e1
| op(e1,e3) = e2
| op(e1,e3) = e3
| op(e1,e3) = e4 )
& ( op(e1,e4) = e0
| op(e1,e4) = e1
| op(e1,e4) = e2
| op(e1,e4) = e3
| op(e1,e4) = e4 )
& ( op(e2,e0) = e0
| op(e2,e0) = e1
| op(e2,e0) = e2
| op(e2,e0) = e3
| op(e2,e0) = e4 )
& ( op(e2,e1) = e0
| op(e2,e1) = e1
| op(e2,e1) = e2
| op(e2,e1) = e3
| op(e2,e1) = e4 )
& ( op(e2,e2) = e0
| op(e2,e2) = e1
| op(e2,e2) = e2
| op(e2,e2) = e3
| op(e2,e2) = e4 )
& ( op(e2,e3) = e0
| op(e2,e3) = e1
| op(e2,e3) = e2
| op(e2,e3) = e3
| op(e2,e3) = e4 )
& ( op(e2,e4) = e0
| op(e2,e4) = e1
| op(e2,e4) = e2
| op(e2,e4) = e3
| op(e2,e4) = e4 )
& ( op(e3,e0) = e0
| op(e3,e0) = e1
| op(e3,e0) = e2
| op(e3,e0) = e3
| op(e3,e0) = e4 )
& ( op(e3,e1) = e0
| op(e3,e1) = e1
| op(e3,e1) = e2
| op(e3,e1) = e3
| op(e3,e1) = e4 )
& ( op(e3,e2) = e0
| op(e3,e2) = e1
| op(e3,e2) = e2
| op(e3,e2) = e3
| op(e3,e2) = e4 )
& ( op(e3,e3) = e0
| op(e3,e3) = e1
| op(e3,e3) = e2
| op(e3,e3) = e3
| op(e3,e3) = e4 )
& ( op(e3,e4) = e0
| op(e3,e4) = e1
| op(e3,e4) = e2
| op(e3,e4) = e3
| op(e3,e4) = e4 )
& ( op(e4,e0) = e0
| op(e4,e0) = e1
| op(e4,e0) = e2
| op(e4,e0) = e3
| op(e4,e0) = e4 )
& ( op(e4,e1) = e0
| op(e4,e1) = e1
| op(e4,e1) = e2
| op(e4,e1) = e3
| op(e4,e1) = e4 )
& ( op(e4,e2) = e0
| op(e4,e2) = e1
| op(e4,e2) = e2
| op(e4,e2) = e3
| op(e4,e2) = e4 )
& ( op(e4,e3) = e0
| op(e4,e3) = e1
| op(e4,e3) = e2
| op(e4,e3) = e3
| op(e4,e3) = e4 )
& ( op(e4,e4) = e0
| op(e4,e4) = e1
| op(e4,e4) = e2
| op(e4,e4) = e3
| op(e4,e4) = e4 ) ) ).
fof(ax2,axiom,
( ( op(e0,e0) = e0
| op(e0,e1) = e0
| op(e0,e2) = e0
| op(e0,e3) = e0
| op(e0,e4) = e0 )
& ( op(e0,e0) = e0
| op(e1,e0) = e0
| op(e2,e0) = e0
| op(e3,e0) = e0
| op(e4,e0) = e0 )
& ( op(e0,e0) = e1
| op(e0,e1) = e1
| op(e0,e2) = e1
| op(e0,e3) = e1
| op(e0,e4) = e1 )
& ( op(e0,e0) = e1
| op(e1,e0) = e1
| op(e2,e0) = e1
| op(e3,e0) = e1
| op(e4,e0) = e1 )
& ( op(e0,e0) = e2
| op(e0,e1) = e2
| op(e0,e2) = e2
| op(e0,e3) = e2
| op(e0,e4) = e2 )
& ( op(e0,e0) = e2
| op(e1,e0) = e2
| op(e2,e0) = e2
| op(e3,e0) = e2
| op(e4,e0) = e2 )
& ( op(e0,e0) = e3
| op(e0,e1) = e3
| op(e0,e2) = e3
| op(e0,e3) = e3
| op(e0,e4) = e3 )
& ( op(e0,e0) = e3
| op(e1,e0) = e3
| op(e2,e0) = e3
| op(e3,e0) = e3
| op(e4,e0) = e3 )
& ( op(e0,e0) = e4
| op(e0,e1) = e4
| op(e0,e2) = e4
| op(e0,e3) = e4
| op(e0,e4) = e4 )
& ( op(e0,e0) = e4
| op(e1,e0) = e4
| op(e2,e0) = e4
| op(e3,e0) = e4
| op(e4,e0) = e4 )
& ( op(e1,e0) = e0
| op(e1,e1) = e0
| op(e1,e2) = e0
| op(e1,e3) = e0
| op(e1,e4) = e0 )
& ( op(e0,e1) = e0
| op(e1,e1) = e0
| op(e2,e1) = e0
| op(e3,e1) = e0
| op(e4,e1) = e0 )
& ( op(e1,e0) = e1
| op(e1,e1) = e1
| op(e1,e2) = e1
| op(e1,e3) = e1
| op(e1,e4) = e1 )
& ( op(e0,e1) = e1
| op(e1,e1) = e1
| op(e2,e1) = e1
| op(e3,e1) = e1
| op(e4,e1) = e1 )
& ( op(e1,e0) = e2
| op(e1,e1) = e2
| op(e1,e2) = e2
| op(e1,e3) = e2
| op(e1,e4) = e2 )
& ( op(e0,e1) = e2
| op(e1,e1) = e2
| op(e2,e1) = e2
| op(e3,e1) = e2
| op(e4,e1) = e2 )
& ( op(e1,e0) = e3
| op(e1,e1) = e3
| op(e1,e2) = e3
| op(e1,e3) = e3
| op(e1,e4) = e3 )
& ( op(e0,e1) = e3
| op(e1,e1) = e3
| op(e2,e1) = e3
| op(e3,e1) = e3
| op(e4,e1) = e3 )
& ( op(e1,e0) = e4
| op(e1,e1) = e4
| op(e1,e2) = e4
| op(e1,e3) = e4
| op(e1,e4) = e4 )
& ( op(e0,e1) = e4
| op(e1,e1) = e4
| op(e2,e1) = e4
| op(e3,e1) = e4
| op(e4,e1) = e4 )
& ( op(e2,e0) = e0
| op(e2,e1) = e0
| op(e2,e2) = e0
| op(e2,e3) = e0
| op(e2,e4) = e0 )
& ( op(e0,e2) = e0
| op(e1,e2) = e0
| op(e2,e2) = e0
| op(e3,e2) = e0
| op(e4,e2) = e0 )
& ( op(e2,e0) = e1
| op(e2,e1) = e1
| op(e2,e2) = e1
| op(e2,e3) = e1
| op(e2,e4) = e1 )
& ( op(e0,e2) = e1
| op(e1,e2) = e1
| op(e2,e2) = e1
| op(e3,e2) = e1
| op(e4,e2) = e1 )
& ( op(e2,e0) = e2
| op(e2,e1) = e2
| op(e2,e2) = e2
| op(e2,e3) = e2
| op(e2,e4) = e2 )
& ( op(e0,e2) = e2
| op(e1,e2) = e2
| op(e2,e2) = e2
| op(e3,e2) = e2
| op(e4,e2) = e2 )
& ( op(e2,e0) = e3
| op(e2,e1) = e3
| op(e2,e2) = e3
| op(e2,e3) = e3
| op(e2,e4) = e3 )
& ( op(e0,e2) = e3
| op(e1,e2) = e3
| op(e2,e2) = e3
| op(e3,e2) = e3
| op(e4,e2) = e3 )
& ( op(e2,e0) = e4
| op(e2,e1) = e4
| op(e2,e2) = e4
| op(e2,e3) = e4
| op(e2,e4) = e4 )
& ( op(e0,e2) = e4
| op(e1,e2) = e4
| op(e2,e2) = e4
| op(e3,e2) = e4
| op(e4,e2) = e4 )
& ( op(e3,e0) = e0
| op(e3,e1) = e0
| op(e3,e2) = e0
| op(e3,e3) = e0
| op(e3,e4) = e0 )
& ( op(e0,e3) = e0
| op(e1,e3) = e0
| op(e2,e3) = e0
| op(e3,e3) = e0
| op(e4,e3) = e0 )
& ( op(e3,e0) = e1
| op(e3,e1) = e1
| op(e3,e2) = e1
| op(e3,e3) = e1
| op(e3,e4) = e1 )
& ( op(e0,e3) = e1
| op(e1,e3) = e1
| op(e2,e3) = e1
| op(e3,e3) = e1
| op(e4,e3) = e1 )
& ( op(e3,e0) = e2
| op(e3,e1) = e2
| op(e3,e2) = e2
| op(e3,e3) = e2
| op(e3,e4) = e2 )
& ( op(e0,e3) = e2
| op(e1,e3) = e2
| op(e2,e3) = e2
| op(e3,e3) = e2
| op(e4,e3) = e2 )
& ( op(e3,e0) = e3
| op(e3,e1) = e3
| op(e3,e2) = e3
| op(e3,e3) = e3
| op(e3,e4) = e3 )
& ( op(e0,e3) = e3
| op(e1,e3) = e3
| op(e2,e3) = e3
| op(e3,e3) = e3
| op(e4,e3) = e3 )
& ( op(e3,e0) = e4
| op(e3,e1) = e4
| op(e3,e2) = e4
| op(e3,e3) = e4
| op(e3,e4) = e4 )
& ( op(e0,e3) = e4
| op(e1,e3) = e4
| op(e2,e3) = e4
| op(e3,e3) = e4
| op(e4,e3) = e4 )
& ( op(e4,e0) = e0
| op(e4,e1) = e0
| op(e4,e2) = e0
| op(e4,e3) = e0
| op(e4,e4) = e0 )
& ( op(e0,e4) = e0
| op(e1,e4) = e0
| op(e2,e4) = e0
| op(e3,e4) = e0
| op(e4,e4) = e0 )
& ( op(e4,e0) = e1
| op(e4,e1) = e1
| op(e4,e2) = e1
| op(e4,e3) = e1
| op(e4,e4) = e1 )
& ( op(e0,e4) = e1
| op(e1,e4) = e1
| op(e2,e4) = e1
| op(e3,e4) = e1
| op(e4,e4) = e1 )
& ( op(e4,e0) = e2
| op(e4,e1) = e2
| op(e4,e2) = e2
| op(e4,e3) = e2
| op(e4,e4) = e2 )
& ( op(e0,e4) = e2
| op(e1,e4) = e2
| op(e2,e4) = e2
| op(e3,e4) = e2
| op(e4,e4) = e2 )
& ( op(e4,e0) = e3
| op(e4,e1) = e3
| op(e4,e2) = e3
| op(e4,e3) = e3
| op(e4,e4) = e3 )
& ( op(e0,e4) = e3
| op(e1,e4) = e3
| op(e2,e4) = e3
| op(e3,e4) = e3
| op(e4,e4) = e3 )
& ( op(e4,e0) = e4
| op(e4,e1) = e4
| op(e4,e2) = e4
| op(e4,e3) = e4
| op(e4,e4) = e4 )
& ( op(e0,e4) = e4
| op(e1,e4) = e4
| op(e2,e4) = e4
| op(e3,e4) = e4
| op(e4,e4) = e4 ) ) ).
fof(ax3,axiom,
( op(op(e0,e0),op(e0,e0)) = e0
& op(op(e1,e0),op(e0,e1)) = e0
& op(op(e2,e0),op(e0,e2)) = e0
& op(op(e3,e0),op(e0,e3)) = e0
& op(op(e4,e0),op(e0,e4)) = e0
& op(op(e0,e1),op(e1,e0)) = e1
& op(op(e1,e1),op(e1,e1)) = e1
& op(op(e2,e1),op(e1,e2)) = e1
& op(op(e3,e1),op(e1,e3)) = e1
& op(op(e4,e1),op(e1,e4)) = e1
& op(op(e0,e2),op(e2,e0)) = e2
& op(op(e1,e2),op(e2,e1)) = e2
& op(op(e2,e2),op(e2,e2)) = e2
& op(op(e3,e2),op(e2,e3)) = e2
& op(op(e4,e2),op(e2,e4)) = e2
& op(op(e0,e3),op(e3,e0)) = e3
& op(op(e1,e3),op(e3,e1)) = e3
& op(op(e2,e3),op(e3,e2)) = e3
& op(op(e3,e3),op(e3,e3)) = e3
& op(op(e4,e3),op(e3,e4)) = e3
& op(op(e0,e4),op(e4,e0)) = e4
& op(op(e1,e4),op(e4,e1)) = e4
& op(op(e2,e4),op(e4,e2)) = e4
& op(op(e3,e4),op(e4,e3)) = e4
& op(op(e4,e4),op(e4,e4)) = e4 ) ).
fof(ax4,axiom,
( op(e0,e0) != op(e1,e0)
& op(e0,e0) != op(e2,e0)
& op(e0,e0) != op(e3,e0)
& op(e0,e0) != op(e4,e0)
& op(e1,e0) != op(e2,e0)
& op(e1,e0) != op(e3,e0)
& op(e1,e0) != op(e4,e0)
& op(e2,e0) != op(e3,e0)
& op(e2,e0) != op(e4,e0)
& op(e3,e0) != op(e4,e0)
& op(e0,e1) != op(e1,e1)
& op(e0,e1) != op(e2,e1)
& op(e0,e1) != op(e3,e1)
& op(e0,e1) != op(e4,e1)
& op(e1,e1) != op(e2,e1)
& op(e1,e1) != op(e3,e1)
& op(e1,e1) != op(e4,e1)
& op(e2,e1) != op(e3,e1)
& op(e2,e1) != op(e4,e1)
& op(e3,e1) != op(e4,e1)
& op(e0,e2) != op(e1,e2)
& op(e0,e2) != op(e2,e2)
& op(e0,e2) != op(e3,e2)
& op(e0,e2) != op(e4,e2)
& op(e1,e2) != op(e2,e2)
& op(e1,e2) != op(e3,e2)
& op(e1,e2) != op(e4,e2)
& op(e2,e2) != op(e3,e2)
& op(e2,e2) != op(e4,e2)
& op(e3,e2) != op(e4,e2)
& op(e0,e3) != op(e1,e3)
& op(e0,e3) != op(e2,e3)
& op(e0,e3) != op(e3,e3)
& op(e0,e3) != op(e4,e3)
& op(e1,e3) != op(e2,e3)
& op(e1,e3) != op(e3,e3)
& op(e1,e3) != op(e4,e3)
& op(e2,e3) != op(e3,e3)
& op(e2,e3) != op(e4,e3)
& op(e3,e3) != op(e4,e3)
& op(e0,e4) != op(e1,e4)
& op(e0,e4) != op(e2,e4)
& op(e0,e4) != op(e3,e4)
& op(e0,e4) != op(e4,e4)
& op(e1,e4) != op(e2,e4)
& op(e1,e4) != op(e3,e4)
& op(e1,e4) != op(e4,e4)
& op(e2,e4) != op(e3,e4)
& op(e2,e4) != op(e4,e4)
& op(e3,e4) != op(e4,e4)
& op(e0,e0) != op(e0,e1)
& op(e0,e0) != op(e0,e2)
& op(e0,e0) != op(e0,e3)
& op(e0,e0) != op(e0,e4)
& op(e0,e1) != op(e0,e2)
& op(e0,e1) != op(e0,e3)
& op(e0,e1) != op(e0,e4)
& op(e0,e2) != op(e0,e3)
& op(e0,e2) != op(e0,e4)
& op(e0,e3) != op(e0,e4)
& op(e1,e0) != op(e1,e1)
& op(e1,e0) != op(e1,e2)
& op(e1,e0) != op(e1,e3)
& op(e1,e0) != op(e1,e4)
& op(e1,e1) != op(e1,e2)
& op(e1,e1) != op(e1,e3)
& op(e1,e1) != op(e1,e4)
& op(e1,e2) != op(e1,e3)
& op(e1,e2) != op(e1,e4)
& op(e1,e3) != op(e1,e4)
& op(e2,e0) != op(e2,e1)
& op(e2,e0) != op(e2,e2)
& op(e2,e0) != op(e2,e3)
& op(e2,e0) != op(e2,e4)
& op(e2,e1) != op(e2,e2)
& op(e2,e1) != op(e2,e3)
& op(e2,e1) != op(e2,e4)
& op(e2,e2) != op(e2,e3)
& op(e2,e2) != op(e2,e4)
& op(e2,e3) != op(e2,e4)
& op(e3,e0) != op(e3,e1)
& op(e3,e0) != op(e3,e2)
& op(e3,e0) != op(e3,e3)
& op(e3,e0) != op(e3,e4)
& op(e3,e1) != op(e3,e2)
& op(e3,e1) != op(e3,e3)
& op(e3,e1) != op(e3,e4)
& op(e3,e2) != op(e3,e3)
& op(e3,e2) != op(e3,e4)
& op(e3,e3) != op(e3,e4)
& op(e4,e0) != op(e4,e1)
& op(e4,e0) != op(e4,e2)
& op(e4,e0) != op(e4,e3)
& op(e4,e0) != op(e4,e4)
& op(e4,e1) != op(e4,e2)
& op(e4,e1) != op(e4,e3)
& op(e4,e1) != op(e4,e4)
& op(e4,e2) != op(e4,e3)
& op(e4,e2) != op(e4,e4)
& op(e4,e3) != op(e4,e4) ) ).
fof(ax5,axiom,
( e0 != e1
& e0 != e2
& e0 != e3
& e0 != e4
& e1 != e2
& e1 != e3
& e1 != e4
& e2 != e3
& e2 != e4
& e3 != e4 ) ).
fof(ax6,axiom,
( op(e0,op(e0,e0)) = e0
& op(e0,op(e0,e1)) = e1
& op(e0,op(e0,e2)) = e2
& op(e0,op(e0,e3)) = e3
& op(e0,op(e0,e4)) = e4
& op(e1,op(e1,e0)) = e0
& op(e1,op(e1,e1)) = e1
& op(e1,op(e1,e2)) = e2
& op(e1,op(e1,e3)) = e3
& op(e1,op(e1,e4)) = e4
& op(e2,op(e2,e0)) = e0
& op(e2,op(e2,e1)) = e1
& op(e2,op(e2,e2)) = e2
& op(e2,op(e2,e3)) = e3
& op(e2,op(e2,e4)) = e4
& op(e3,op(e3,e0)) = e0
& op(e3,op(e3,e1)) = e1
& op(e3,op(e3,e2)) = e2
& op(e3,op(e3,e3)) = e3
& op(e3,op(e3,e4)) = e4
& op(e4,op(e4,e0)) = e0
& op(e4,op(e4,e1)) = e1
& op(e4,op(e4,e2)) = e2
& op(e4,op(e4,e3)) = e3
& op(e4,op(e4,e4)) = e4 ) ).
fof(ax23,axiom,
~ ( e0 = op(op(e1,e3),e1)
& e4 = op(e1,op(op(e1,e3),e1))
& e2 = op(e1,e3) ) ).
fof(ax26,axiom,
~ ( e0 = op(op(e3,e4),e3)
& e1 = op(e3,op(op(e3,e4),e3))
& e2 = op(e3,e4) ) ).
fof(ax72,axiom,
~ ( e2 = op(op(e1,e3),e1)
& e4 = op(e1,op(op(e1,e3),e1))
& e0 = op(e1,e3) ) ).
fof(ax77,axiom,
~ ( e2 = op(op(e0,e4),e0)
& e3 = op(e0,op(op(e0,e4),e0))
& e1 = op(e0,e4) ) ).
fof(ax96,axiom,
~ ( e3 = op(op(e1,e2),e1)
& e4 = op(e1,op(op(e1,e2),e1))
& e0 = op(e1,e2) ) ).
fof(ax101,axiom,
~ ( e3 = op(op(e0,e4),e0)
& e2 = op(e0,op(op(e0,e4),e0))
& e1 = op(e0,e4) ) ).
fof(normalize_0_0,plain,
( op(op(e0,e0),op(e0,e0)) = e0
& op(op(e0,e1),op(e1,e0)) = e1
& op(op(e0,e2),op(e2,e0)) = e2
& op(op(e0,e3),op(e3,e0)) = e3
& op(op(e0,e4),op(e4,e0)) = e4
& op(op(e1,e0),op(e0,e1)) = e0
& op(op(e1,e1),op(e1,e1)) = e1
& op(op(e1,e2),op(e2,e1)) = e2
& op(op(e1,e3),op(e3,e1)) = e3
& op(op(e1,e4),op(e4,e1)) = e4
& op(op(e2,e0),op(e0,e2)) = e0
& op(op(e2,e1),op(e1,e2)) = e1
& op(op(e2,e2),op(e2,e2)) = e2
& op(op(e2,e3),op(e3,e2)) = e3
& op(op(e2,e4),op(e4,e2)) = e4
& op(op(e3,e0),op(e0,e3)) = e0
& op(op(e3,e1),op(e1,e3)) = e1
& op(op(e3,e2),op(e2,e3)) = e2
& op(op(e3,e3),op(e3,e3)) = e3
& op(op(e3,e4),op(e4,e3)) = e4
& op(op(e4,e0),op(e0,e4)) = e0
& op(op(e4,e1),op(e1,e4)) = e1
& op(op(e4,e2),op(e2,e4)) = e2
& op(op(e4,e3),op(e3,e4)) = e3
& op(op(e4,e4),op(e4,e4)) = e4 ),
inference(canonicalize,[],[ax3]) ).
fof(normalize_0_1,plain,
op(op(e0,e2),op(e2,e0)) = e2,
inference(conjunct,[],[normalize_0_0]) ).
fof(normalize_0_2,plain,
op(op(e1,e0),op(e0,e1)) = e0,
inference(conjunct,[],[normalize_0_0]) ).
fof(normalize_0_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_0_4,plain,
op(e1,e0) != op(e1,e1),
inference(conjunct,[],[normalize_0_3]) ).
fof(normalize_0_5,plain,
op(op(e2,e1),op(e1,e2)) = e1,
inference(conjunct,[],[normalize_0_0]) ).
fof(normalize_0_6,plain,
op(op(e3,e1),op(e1,e3)) = e1,
inference(conjunct,[],[normalize_0_0]) ).
fof(normalize_0_7,plain,
op(op(e4,e1),op(e1,e4)) = e1,
inference(conjunct,[],[normalize_0_0]) ).
fof(normalize_0_8,plain,
( ( op(e0,e0) = e0
| op(e0,e1) = e0
| op(e0,e2) = e0
| op(e0,e3) = e0
| op(e0,e4) = e0 )
& ( op(e0,e0) = e0
| op(e1,e0) = e0
| op(e2,e0) = e0
| op(e3,e0) = e0
| op(e4,e0) = e0 )
& ( op(e0,e0) = e1
| op(e0,e1) = e1
| op(e0,e2) = e1
| op(e0,e3) = e1
| op(e0,e4) = e1 )
& ( op(e0,e0) = e1
| op(e1,e0) = e1
| op(e2,e0) = e1
| op(e3,e0) = e1
| op(e4,e0) = e1 )
& ( op(e0,e0) = e2
| op(e0,e1) = e2
| op(e0,e2) = e2
| op(e0,e3) = e2
| op(e0,e4) = e2 )
& ( op(e0,e0) = e2
| op(e1,e0) = e2
| op(e2,e0) = e2
| op(e3,e0) = e2
| op(e4,e0) = e2 )
& ( op(e0,e0) = e3
| op(e0,e1) = e3
| op(e0,e2) = e3
| op(e0,e3) = e3
| op(e0,e4) = e3 )
& ( op(e0,e0) = e3
| op(e1,e0) = e3
| op(e2,e0) = e3
| op(e3,e0) = e3
| op(e4,e0) = e3 )
& ( op(e0,e0) = e4
| op(e0,e1) = e4
| op(e0,e2) = e4
| op(e0,e3) = e4
| op(e0,e4) = e4 )
& ( op(e0,e0) = e4
| op(e1,e0) = e4
| op(e2,e0) = e4
| op(e3,e0) = e4
| op(e4,e0) = e4 )
& ( op(e0,e1) = e0
| op(e1,e1) = e0
| op(e2,e1) = e0
| op(e3,e1) = e0
| op(e4,e1) = e0 )
& ( op(e0,e1) = e1
| op(e1,e1) = e1
| op(e2,e1) = e1
| op(e3,e1) = e1
| op(e4,e1) = e1 )
& ( op(e0,e1) = e2
| op(e1,e1) = e2
| op(e2,e1) = e2
| op(e3,e1) = e2
| op(e4,e1) = e2 )
& ( op(e0,e1) = e3
| op(e1,e1) = e3
| op(e2,e1) = e3
| op(e3,e1) = e3
| op(e4,e1) = e3 )
& ( op(e0,e1) = e4
| op(e1,e1) = e4
| op(e2,e1) = e4
| op(e3,e1) = e4
| op(e4,e1) = e4 )
& ( op(e0,e2) = e0
| op(e1,e2) = e0
| op(e2,e2) = e0
| op(e3,e2) = e0
| op(e4,e2) = e0 )
& ( op(e0,e2) = e1
| op(e1,e2) = e1
| op(e2,e2) = e1
| op(e3,e2) = e1
| op(e4,e2) = e1 )
& ( op(e0,e2) = e2
| op(e1,e2) = e2
| op(e2,e2) = e2
| op(e3,e2) = e2
| op(e4,e2) = e2 )
& ( op(e0,e2) = e3
| op(e1,e2) = e3
| op(e2,e2) = e3
| op(e3,e2) = e3
| op(e4,e2) = e3 )
& ( op(e0,e2) = e4
| op(e1,e2) = e4
| op(e2,e2) = e4
| op(e3,e2) = e4
| op(e4,e2) = e4 )
& ( op(e0,e3) = e0
| op(e1,e3) = e0
| op(e2,e3) = e0
| op(e3,e3) = e0
| op(e4,e3) = e0 )
& ( op(e0,e3) = e1
| op(e1,e3) = e1
| op(e2,e3) = e1
| op(e3,e3) = e1
| op(e4,e3) = e1 )
& ( op(e0,e3) = e2
| op(e1,e3) = e2
| op(e2,e3) = e2
| op(e3,e3) = e2
| op(e4,e3) = e2 )
& ( op(e0,e3) = e3
| op(e1,e3) = e3
| op(e2,e3) = e3
| op(e3,e3) = e3
| op(e4,e3) = e3 )
& ( op(e0,e3) = e4
| op(e1,e3) = e4
| op(e2,e3) = e4
| op(e3,e3) = e4
| op(e4,e3) = e4 )
& ( op(e0,e4) = e0
| op(e1,e4) = e0
| op(e2,e4) = e0
| op(e3,e4) = e0
| op(e4,e4) = e0 )
& ( op(e0,e4) = e1
| op(e1,e4) = e1
| op(e2,e4) = e1
| op(e3,e4) = e1
| op(e4,e4) = e1 )
& ( op(e0,e4) = e2
| op(e1,e4) = e2
| op(e2,e4) = e2
| op(e3,e4) = e2
| op(e4,e4) = e2 )
& ( op(e0,e4) = e3
| op(e1,e4) = e3
| op(e2,e4) = e3
| op(e3,e4) = e3
| op(e4,e4) = e3 )
& ( op(e0,e4) = e4
| op(e1,e4) = e4
| op(e2,e4) = e4
| op(e3,e4) = e4
| op(e4,e4) = e4 )
& ( op(e1,e0) = e0
| op(e1,e1) = e0
| op(e1,e2) = e0
| op(e1,e3) = e0
| op(e1,e4) = e0 )
& ( op(e1,e0) = e1
| op(e1,e1) = e1
| op(e1,e2) = e1
| op(e1,e3) = e1
| op(e1,e4) = e1 )
& ( op(e1,e0) = e2
| op(e1,e1) = e2
| op(e1,e2) = e2
| op(e1,e3) = e2
| op(e1,e4) = e2 )
& ( op(e1,e0) = e3
| op(e1,e1) = e3
| op(e1,e2) = e3
| op(e1,e3) = e3
| op(e1,e4) = e3 )
& ( op(e1,e0) = e4
| op(e1,e1) = e4
| op(e1,e2) = e4
| op(e1,e3) = e4
| op(e1,e4) = e4 )
& ( op(e2,e0) = e0
| op(e2,e1) = e0
| op(e2,e2) = e0
| op(e2,e3) = e0
| op(e2,e4) = e0 )
& ( op(e2,e0) = e1
| op(e2,e1) = e1
| op(e2,e2) = e1
| op(e2,e3) = e1
| op(e2,e4) = e1 )
& ( op(e2,e0) = e2
| op(e2,e1) = e2
| op(e2,e2) = e2
| op(e2,e3) = e2
| op(e2,e4) = e2 )
& ( op(e2,e0) = e3
| op(e2,e1) = e3
| op(e2,e2) = e3
| op(e2,e3) = e3
| op(e2,e4) = e3 )
& ( op(e2,e0) = e4
| op(e2,e1) = e4
| op(e2,e2) = e4
| op(e2,e3) = e4
| op(e2,e4) = e4 )
& ( op(e3,e0) = e0
| op(e3,e1) = e0
| op(e3,e2) = e0
| op(e3,e3) = e0
| op(e3,e4) = e0 )
& ( op(e3,e0) = e1
| op(e3,e1) = e1
| op(e3,e2) = e1
| op(e3,e3) = e1
| op(e3,e4) = e1 )
& ( op(e3,e0) = e2
| op(e3,e1) = e2
| op(e3,e2) = e2
| op(e3,e3) = e2
| op(e3,e4) = e2 )
& ( op(e3,e0) = e3
| op(e3,e1) = e3
| op(e3,e2) = e3
| op(e3,e3) = e3
| op(e3,e4) = e3 )
& ( op(e3,e0) = e4
| op(e3,e1) = e4
| op(e3,e2) = e4
| op(e3,e3) = e4
| op(e3,e4) = e4 )
& ( op(e4,e0) = e0
| op(e4,e1) = e0
| op(e4,e2) = e0
| op(e4,e3) = e0
| op(e4,e4) = e0 )
& ( op(e4,e0) = e1
| op(e4,e1) = e1
| op(e4,e2) = e1
| op(e4,e3) = e1
| op(e4,e4) = e1 )
& ( op(e4,e0) = e2
| op(e4,e1) = e2
| op(e4,e2) = e2
| op(e4,e3) = e2
| op(e4,e4) = e2 )
& ( op(e4,e0) = e3
| op(e4,e1) = e3
| op(e4,e2) = e3
| op(e4,e3) = e3
| op(e4,e4) = e3 )
& ( op(e4,e0) = e4
| op(e4,e1) = e4
| op(e4,e2) = e4
| op(e4,e3) = e4
| op(e4,e4) = e4 ) ),
inference(canonicalize,[],[ax2]) ).
fof(normalize_0_9,plain,
( op(e0,e1) = e1
| op(e1,e1) = e1
| op(e2,e1) = e1
| op(e3,e1) = e1
| op(e4,e1) = e1 ),
inference(conjunct,[],[normalize_0_8]) ).
fof(normalize_0_10,plain,
( op(e0,op(e0,e0)) = e0
& op(e0,op(e0,e1)) = e1
& op(e0,op(e0,e2)) = e2
& op(e0,op(e0,e3)) = e3
& op(e0,op(e0,e4)) = e4
& op(e1,op(e1,e0)) = e0
& op(e1,op(e1,e1)) = e1
& op(e1,op(e1,e2)) = e2
& op(e1,op(e1,e3)) = e3
& op(e1,op(e1,e4)) = e4
& op(e2,op(e2,e0)) = e0
& op(e2,op(e2,e1)) = e1
& op(e2,op(e2,e2)) = e2
& op(e2,op(e2,e3)) = e3
& op(e2,op(e2,e4)) = e4
& op(e3,op(e3,e0)) = e0
& op(e3,op(e3,e1)) = e1
& op(e3,op(e3,e2)) = e2
& op(e3,op(e3,e3)) = e3
& op(e3,op(e3,e4)) = e4
& op(e4,op(e4,e0)) = e0
& op(e4,op(e4,e1)) = e1
& op(e4,op(e4,e2)) = e2
& op(e4,op(e4,e3)) = e3
& op(e4,op(e4,e4)) = e4 ),
inference(canonicalize,[],[ax6]) ).
fof(normalize_0_11,plain,
op(e1,op(e1,e4)) = e4,
inference(conjunct,[],[normalize_0_10]) ).
fof(normalize_0_12,plain,
( e0 != e1
& e0 != e2
& e0 != e3
& e0 != e4
& e1 != e2
& e1 != e3
& e1 != e4
& e2 != e3
& e2 != e4
& e3 != e4 ),
inference(canonicalize,[],[ax5]) ).
fof(normalize_0_13,plain,
e1 != e4,
inference(conjunct,[],[normalize_0_12]) ).
fof(normalize_0_14,plain,
op(e1,op(e1,e3)) = e3,
inference(conjunct,[],[normalize_0_10]) ).
fof(normalize_0_15,plain,
e1 != e3,
inference(conjunct,[],[normalize_0_12]) ).
fof(normalize_0_16,plain,
op(e1,op(e1,e2)) = e2,
inference(conjunct,[],[normalize_0_10]) ).
fof(normalize_0_17,plain,
e1 != e2,
inference(conjunct,[],[normalize_0_12]) ).
fof(normalize_0_18,plain,
( ( op(e0,e0) = e0
| op(e0,e0) = e1
| op(e0,e0) = e2
| op(e0,e0) = e3
| op(e0,e0) = e4 )
& ( op(e0,e1) = e0
| op(e0,e1) = e1
| op(e0,e1) = e2
| op(e0,e1) = e3
| op(e0,e1) = e4 )
& ( op(e0,e2) = e0
| op(e0,e2) = e1
| op(e0,e2) = e2
| op(e0,e2) = e3
| op(e0,e2) = e4 )
& ( op(e0,e3) = e0
| op(e0,e3) = e1
| op(e0,e3) = e2
| op(e0,e3) = e3
| op(e0,e3) = e4 )
& ( op(e0,e4) = e0
| op(e0,e4) = e1
| op(e0,e4) = e2
| op(e0,e4) = e3
| op(e0,e4) = e4 )
& ( op(e1,e0) = e0
| op(e1,e0) = e1
| op(e1,e0) = e2
| op(e1,e0) = e3
| op(e1,e0) = e4 )
& ( op(e1,e1) = e0
| op(e1,e1) = e1
| op(e1,e1) = e2
| op(e1,e1) = e3
| op(e1,e1) = e4 )
& ( op(e1,e2) = e0
| op(e1,e2) = e1
| op(e1,e2) = e2
| op(e1,e2) = e3
| op(e1,e2) = e4 )
& ( op(e1,e3) = e0
| op(e1,e3) = e1
| op(e1,e3) = e2
| op(e1,e3) = e3
| op(e1,e3) = e4 )
& ( op(e1,e4) = e0
| op(e1,e4) = e1
| op(e1,e4) = e2
| op(e1,e4) = e3
| op(e1,e4) = e4 )
& ( op(e2,e0) = e0
| op(e2,e0) = e1
| op(e2,e0) = e2
| op(e2,e0) = e3
| op(e2,e0) = e4 )
& ( op(e2,e1) = e0
| op(e2,e1) = e1
| op(e2,e1) = e2
| op(e2,e1) = e3
| op(e2,e1) = e4 )
& ( op(e2,e2) = e0
| op(e2,e2) = e1
| op(e2,e2) = e2
| op(e2,e2) = e3
| op(e2,e2) = e4 )
& ( op(e2,e3) = e0
| op(e2,e3) = e1
| op(e2,e3) = e2
| op(e2,e3) = e3
| op(e2,e3) = e4 )
& ( op(e2,e4) = e0
| op(e2,e4) = e1
| op(e2,e4) = e2
| op(e2,e4) = e3
| op(e2,e4) = e4 )
& ( op(e3,e0) = e0
| op(e3,e0) = e1
| op(e3,e0) = e2
| op(e3,e0) = e3
| op(e3,e0) = e4 )
& ( op(e3,e1) = e0
| op(e3,e1) = e1
| op(e3,e1) = e2
| op(e3,e1) = e3
| op(e3,e1) = e4 )
& ( op(e3,e2) = e0
| op(e3,e2) = e1
| op(e3,e2) = e2
| op(e3,e2) = e3
| op(e3,e2) = e4 )
& ( op(e3,e3) = e0
| op(e3,e3) = e1
| op(e3,e3) = e2
| op(e3,e3) = e3
| op(e3,e3) = e4 )
& ( op(e3,e4) = e0
| op(e3,e4) = e1
| op(e3,e4) = e2
| op(e3,e4) = e3
| op(e3,e4) = e4 )
& ( op(e4,e0) = e0
| op(e4,e0) = e1
| op(e4,e0) = e2
| op(e4,e0) = e3
| op(e4,e0) = e4 )
& ( op(e4,e1) = e0
| op(e4,e1) = e1
| op(e4,e1) = e2
| op(e4,e1) = e3
| op(e4,e1) = e4 )
& ( op(e4,e2) = e0
| op(e4,e2) = e1
| op(e4,e2) = e2
| op(e4,e2) = e3
| op(e4,e2) = e4 )
& ( op(e4,e3) = e0
| op(e4,e3) = e1
| op(e4,e3) = e2
| op(e4,e3) = e3
| op(e4,e3) = e4 )
& ( op(e4,e4) = e0
| op(e4,e4) = e1
| op(e4,e4) = e2
| op(e4,e4) = e3
| op(e4,e4) = e4 ) ),
inference(canonicalize,[],[ax1]) ).
fof(normalize_0_19,plain,
( op(e1,e0) = e0
| op(e1,e0) = e1
| op(e1,e0) = e2
| op(e1,e0) = e3
| op(e1,e0) = e4 ),
inference(conjunct,[],[normalize_0_18]) ).
fof(normalize_0_20,plain,
op(e0,op(e0,e1)) = e1,
inference(conjunct,[],[normalize_0_10]) ).
fof(normalize_0_21,plain,
e0 != e1,
inference(conjunct,[],[normalize_0_12]) ).
fof(normalize_0_22,plain,
op(e0,e1) != op(e0,e2),
inference(conjunct,[],[normalize_0_3]) ).
fof(normalize_0_23,plain,
op(op(e0,e1),op(e1,e0)) = e1,
inference(conjunct,[],[normalize_0_0]) ).
fof(normalize_0_24,plain,
( op(e0,e1) = e0
| op(e0,e1) = e1
| op(e0,e1) = e2
| op(e0,e1) = e3
| op(e0,e1) = e4 ),
inference(conjunct,[],[normalize_0_18]) ).
fof(normalize_0_25,plain,
op(e1,op(e1,e0)) = e0,
inference(conjunct,[],[normalize_0_10]) ).
fof(normalize_0_26,plain,
op(e0,e0) != op(e0,e1),
inference(conjunct,[],[normalize_0_3]) ).
fof(normalize_0_27,plain,
op(op(e2,e0),op(e0,e2)) = e0,
inference(conjunct,[],[normalize_0_0]) ).
fof(normalize_0_28,plain,
op(op(e3,e0),op(e0,e3)) = e0,
inference(conjunct,[],[normalize_0_0]) ).
fof(normalize_0_29,plain,
op(op(e4,e0),op(e0,e4)) = e0,
inference(conjunct,[],[normalize_0_0]) ).
fof(normalize_0_30,plain,
( op(e0,e0) = e0
| op(e1,e0) = e0
| op(e2,e0) = e0
| op(e3,e0) = e0
| op(e4,e0) = e0 ),
inference(conjunct,[],[normalize_0_8]) ).
fof(normalize_0_31,plain,
op(e0,op(e0,e4)) = e4,
inference(conjunct,[],[normalize_0_10]) ).
fof(normalize_0_32,plain,
e0 != e4,
inference(conjunct,[],[normalize_0_12]) ).
fof(normalize_0_33,plain,
op(e0,op(e0,e3)) = e3,
inference(conjunct,[],[normalize_0_10]) ).
fof(normalize_0_34,plain,
e0 != e3,
inference(conjunct,[],[normalize_0_12]) ).
fof(normalize_0_35,plain,
op(e0,op(e0,e2)) = e2,
inference(conjunct,[],[normalize_0_10]) ).
fof(normalize_0_36,plain,
e0 != e2,
inference(conjunct,[],[normalize_0_12]) ).
fof(normalize_0_37,plain,
( e0 != op(e1,e3)
| e2 != op(op(e1,e3),e1)
| e4 != op(e1,op(op(e1,e3),e1)) ),
inference(canonicalize,[],[ax72]) ).
fof(normalize_0_38,plain,
op(e1,e2) != op(e1,e3),
inference(conjunct,[],[normalize_0_3]) ).
fof(normalize_0_39,plain,
op(e1,e1) != op(e1,e3),
inference(conjunct,[],[normalize_0_3]) ).
fof(normalize_0_40,plain,
op(op(e1,e3),op(e3,e1)) = e3,
inference(conjunct,[],[normalize_0_0]) ).
fof(normalize_0_41,plain,
( op(e1,e3) = e0
| op(e1,e3) = e1
| op(e1,e3) = e2
| op(e1,e3) = e3
| op(e1,e3) = e4 ),
inference(conjunct,[],[normalize_0_18]) ).
fof(normalize_0_42,plain,
op(e3,op(e3,e1)) = e1,
inference(conjunct,[],[normalize_0_10]) ).
fof(normalize_0_43,plain,
e3 != e4,
inference(conjunct,[],[normalize_0_12]) ).
fof(normalize_0_44,plain,
op(e1,e1) != op(e1,e2),
inference(conjunct,[],[normalize_0_3]) ).
fof(normalize_0_45,plain,
op(op(e1,e2),op(e2,e1)) = e2,
inference(conjunct,[],[normalize_0_0]) ).
fof(normalize_0_46,plain,
( op(e1,e2) = e0
| op(e1,e2) = e1
| op(e1,e2) = e2
| op(e1,e2) = e3
| op(e1,e2) = e4 ),
inference(conjunct,[],[normalize_0_18]) ).
fof(normalize_0_47,plain,
op(e2,op(e2,e1)) = e1,
inference(conjunct,[],[normalize_0_10]) ).
fof(normalize_0_48,plain,
op(e1,e0) != op(e1,e2),
inference(conjunct,[],[normalize_0_3]) ).
fof(normalize_0_49,plain,
e2 != e3,
inference(conjunct,[],[normalize_0_12]) ).
fof(normalize_0_50,plain,
( e0 != op(op(e1,e3),e1)
| e2 != op(e1,e3)
| e4 != op(e1,op(op(e1,e3),e1)) ),
inference(canonicalize,[],[ax23]) ).
fof(normalize_0_51,plain,
op(e2,op(e2,e0)) = e0,
inference(conjunct,[],[normalize_0_10]) ).
fof(normalize_0_52,plain,
op(e1,e0) != op(e2,e0),
inference(conjunct,[],[normalize_0_3]) ).
fof(normalize_0_53,plain,
op(op(e2,e3),op(e3,e2)) = e3,
inference(conjunct,[],[normalize_0_0]) ).
fof(normalize_0_54,plain,
op(e2,e0) != op(e2,e2),
inference(conjunct,[],[normalize_0_3]) ).
fof(normalize_0_55,plain,
op(op(e3,e2),op(e2,e3)) = e2,
inference(conjunct,[],[normalize_0_0]) ).
fof(normalize_0_56,plain,
op(op(e4,e2),op(e2,e4)) = e2,
inference(conjunct,[],[normalize_0_0]) ).
fof(normalize_0_57,plain,
( op(e0,e2) = e2
| op(e1,e2) = e2
| op(e2,e2) = e2
| op(e3,e2) = e2
| op(e4,e2) = e2 ),
inference(conjunct,[],[normalize_0_8]) ).
fof(normalize_0_58,plain,
op(e2,op(e2,e4)) = e4,
inference(conjunct,[],[normalize_0_10]) ).
fof(normalize_0_59,plain,
e2 != e4,
inference(conjunct,[],[normalize_0_12]) ).
fof(normalize_0_60,plain,
op(e2,op(e2,e3)) = e3,
inference(conjunct,[],[normalize_0_10]) ).
fof(normalize_0_61,plain,
( op(e2,e0) = e0
| op(e2,e0) = e1
| op(e2,e0) = e2
| op(e2,e0) = e3
| op(e2,e0) = e4 ),
inference(conjunct,[],[normalize_0_18]) ).
fof(normalize_0_62,plain,
op(e0,e0) != op(e2,e0),
inference(conjunct,[],[normalize_0_3]) ).
fof(normalize_0_63,plain,
op(e0,e2) != op(e0,e3),
inference(conjunct,[],[normalize_0_3]) ).
fof(normalize_0_64,plain,
( op(e0,e2) = e0
| op(e0,e2) = e1
| op(e0,e2) = e2
| op(e0,e2) = e3
| op(e0,e2) = e4 ),
inference(conjunct,[],[normalize_0_18]) ).
fof(normalize_0_65,plain,
op(e0,e0) != op(e0,e2),
inference(conjunct,[],[normalize_0_3]) ).
fof(normalize_0_66,plain,
op(e3,op(e3,e0)) = e0,
inference(conjunct,[],[normalize_0_10]) ).
fof(normalize_0_67,plain,
( e0 != op(op(e3,e4),e3)
| e1 != op(e3,op(op(e3,e4),e3))
| e2 != op(e3,e4) ),
inference(canonicalize,[],[ax26]) ).
fof(normalize_0_68,plain,
op(e3,op(e3,e2)) = e2,
inference(conjunct,[],[normalize_0_10]) ).
fof(normalize_0_69,plain,
op(e3,e0) != op(e3,e2),
inference(conjunct,[],[normalize_0_3]) ).
fof(normalize_0_70,plain,
op(e3,e0) != op(e3,e3),
inference(conjunct,[],[normalize_0_3]) ).
fof(normalize_0_71,plain,
op(op(e4,e3),op(e3,e4)) = e3,
inference(conjunct,[],[normalize_0_0]) ).
fof(normalize_0_72,plain,
( op(e0,e3) = e3
| op(e1,e3) = e3
| op(e2,e3) = e3
| op(e3,e3) = e3
| op(e4,e3) = e3 ),
inference(conjunct,[],[normalize_0_8]) ).
fof(normalize_0_73,plain,
op(e3,op(e3,e4)) = e4,
inference(conjunct,[],[normalize_0_10]) ).
fof(normalize_0_74,plain,
op(e1,e3) != op(e1,e4),
inference(conjunct,[],[normalize_0_3]) ).
fof(normalize_0_75,plain,
( op(e3,e0) = e0
| op(e3,e0) = e1
| op(e3,e0) = e2
| op(e3,e0) = e3
| op(e3,e0) = e4 ),
inference(conjunct,[],[normalize_0_18]) ).
fof(normalize_0_76,plain,
op(e0,e0) != op(e3,e0),
inference(conjunct,[],[normalize_0_3]) ).
fof(normalize_0_77,plain,
op(e0,e3) != op(e0,e4),
inference(conjunct,[],[normalize_0_3]) ).
fof(normalize_0_78,plain,
op(op(e0,e3),op(e3,e0)) = e3,
inference(conjunct,[],[normalize_0_0]) ).
fof(normalize_0_79,plain,
( op(e0,e3) = e0
| op(e0,e3) = e1
| op(e0,e3) = e2
| op(e0,e3) = e3
| op(e0,e3) = e4 ),
inference(conjunct,[],[normalize_0_18]) ).
fof(normalize_0_80,plain,
op(e0,e0) != op(e0,e3),
inference(conjunct,[],[normalize_0_3]) ).
fof(normalize_0_81,plain,
op(e2,e3) != op(e2,e4),
inference(conjunct,[],[normalize_0_3]) ).
fof(normalize_0_82,plain,
( op(e2,e3) = e0
| op(e2,e3) = e1
| op(e2,e3) = e2
| op(e2,e3) = e3
| op(e2,e3) = e4 ),
inference(conjunct,[],[normalize_0_18]) ).
fof(normalize_0_83,plain,
op(e2,e2) != op(e2,e3),
inference(conjunct,[],[normalize_0_3]) ).
fof(normalize_0_84,plain,
op(e3,e2) != op(e3,e3),
inference(conjunct,[],[normalize_0_3]) ).
fof(normalize_0_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_0_18]) ).
fof(normalize_0_86,plain,
op(e2,e2) != op(e3,e2),
inference(conjunct,[],[normalize_0_3]) ).
fof(normalize_0_87,plain,
( op(e0,e0) = e2
| op(e1,e0) = e2
| op(e2,e0) = e2
| op(e3,e0) = e2
| op(e4,e0) = e2 ),
inference(conjunct,[],[normalize_0_8]) ).
fof(normalize_0_88,plain,
( op(e0,e0) = e1
| op(e1,e0) = e1
| op(e2,e0) = e1
| op(e3,e0) = e1
| op(e4,e0) = e1 ),
inference(conjunct,[],[normalize_0_8]) ).
fof(normalize_0_89,plain,
( op(e1,e0) = e1
| op(e1,e1) = e1
| op(e1,e2) = e1
| op(e1,e3) = e1
| op(e1,e4) = e1 ),
inference(conjunct,[],[normalize_0_8]) ).
fof(normalize_0_90,plain,
op(e1,e0) != op(e1,e3),
inference(conjunct,[],[normalize_0_3]) ).
fof(normalize_0_91,plain,
( e0 != op(e1,e2)
| e3 != op(op(e1,e2),e1)
| e4 != op(e1,op(op(e1,e2),e1)) ),
inference(canonicalize,[],[ax96]) ).
fof(normalize_0_92,plain,
op(e2,e0) != op(e2,e3),
inference(conjunct,[],[normalize_0_3]) ).
fof(normalize_0_93,plain,
op(op(e2,e4),op(e4,e2)) = e4,
inference(conjunct,[],[normalize_0_0]) ).
fof(normalize_0_94,plain,
op(e4,op(e4,e0)) = e0,
inference(conjunct,[],[normalize_0_10]) ).
fof(normalize_0_95,plain,
( e1 != op(e0,e4)
| e2 != op(op(e0,e4),e0)
| e3 != op(e0,op(op(e0,e4),e0)) ),
inference(canonicalize,[],[ax77]) ).
fof(normalize_0_96,plain,
( e1 != op(e0,e4)
| e2 != op(e0,op(op(e0,e4),e0))
| e3 != op(op(e0,e4),e0) ),
inference(canonicalize,[],[ax101]) ).
fof(normalize_0_97,plain,
op(e0,e1) != op(e0,e3),
inference(conjunct,[],[normalize_0_3]) ).
cnf(refute_0_0,plain,
op(op(e0,e2),op(e2,e0)) = e2,
inference(canonicalize,[],[normalize_0_1]) ).
cnf(refute_0_1,plain,
op(op(e1,e0),op(e0,e1)) = e0,
inference(canonicalize,[],[normalize_0_2]) ).
cnf(refute_0_2,plain,
op(e1,e0) != op(e1,e1),
inference(canonicalize,[],[normalize_0_4]) ).
cnf(refute_0_3,plain,
op(op(e2,e1),op(e1,e2)) = e1,
inference(canonicalize,[],[normalize_0_5]) ).
cnf(refute_0_4,plain,
op(op(e3,e1),op(e1,e3)) = e1,
inference(canonicalize,[],[normalize_0_6]) ).
cnf(refute_0_5,plain,
op(op(e4,e1),op(e1,e4)) = e1,
inference(canonicalize,[],[normalize_0_7]) ).
cnf(refute_0_6,plain,
( op(e0,e1) = e1
| op(e1,e1) = e1
| op(e2,e1) = e1
| op(e3,e1) = e1
| op(e4,e1) = e1 ),
inference(canonicalize,[],[normalize_0_9]) ).
cnf(refute_0_7,plain,
( op(e4,e1) != e1
| op(op(e4,e1),op(e1,e4)) != e1
| op(e1,op(e1,e4)) = e1 ),
introduced(tautology,[equality,[$cnf( $equal(op(op(e4,e1),op(e1,e4)),e1) ),[0,0],$fot(e1)]]) ).
cnf(refute_0_8,plain,
( op(op(e4,e1),op(e1,e4)) != e1
| op(e0,e1) = e1
| op(e1,e1) = e1
| op(e1,op(e1,e4)) = e1
| op(e2,e1) = e1
| op(e3,e1) = e1 ),
inference(resolve,[$cnf( $equal(op(e4,e1),e1) )],[refute_0_6,refute_0_7]) ).
cnf(refute_0_9,plain,
( op(e0,e1) = e1
| op(e1,e1) = e1
| op(e1,op(e1,e4)) = e1
| op(e2,e1) = e1
| op(e3,e1) = e1 ),
inference(resolve,[$cnf( $equal(op(op(e4,e1),op(e1,e4)),e1) )],[refute_0_5,refute_0_8]) ).
cnf(refute_0_10,plain,
op(e1,op(e1,e4)) = e4,
inference(canonicalize,[],[normalize_0_11]) ).
cnf(refute_0_11,plain,
( op(e1,op(e1,e4)) != e1
| op(e1,op(e1,e4)) != e4
| e4 = e1 ),
introduced(tautology,[equality,[$cnf( $equal(op(e1,op(e1,e4)),e1) ),[0],$fot(e4)]]) ).
cnf(refute_0_12,plain,
( op(e1,op(e1,e4)) != e1
| e4 = e1 ),
inference(resolve,[$cnf( $equal(op(e1,op(e1,e4)),e4) )],[refute_0_10,refute_0_11]) ).
cnf(refute_0_13,plain,
( e4 = e1
| op(e0,e1) = e1
| op(e1,e1) = e1
| op(e2,e1) = e1
| op(e3,e1) = e1 ),
inference(resolve,[$cnf( $equal(op(e1,op(e1,e4)),e1) )],[refute_0_9,refute_0_12]) ).
cnf(refute_0_14,plain,
e1 != e4,
inference(canonicalize,[],[normalize_0_13]) ).
cnf(refute_0_15,plain,
X = X,
introduced(tautology,[refl,[$fot(X)]]) ).
cnf(refute_0_16,plain,
( X != X
| X != Y
| Y = X ),
introduced(tautology,[equality,[$cnf( $equal(X,X) ),[0],$fot(Y)]]) ).
cnf(refute_0_17,plain,
( X != Y
| Y = X ),
inference(resolve,[$cnf( $equal(X,X) )],[refute_0_15,refute_0_16]) ).
cnf(refute_0_18,plain,
( e4 != e1
| e1 = e4 ),
inference(subst,[],[refute_0_17:[bind(X,$fot(e4)),bind(Y,$fot(e1))]]) ).
cnf(refute_0_19,plain,
e4 != e1,
inference(resolve,[$cnf( $equal(e1,e4) )],[refute_0_18,refute_0_14]) ).
cnf(refute_0_20,plain,
( op(e0,e1) = e1
| op(e1,e1) = e1
| op(e2,e1) = e1
| op(e3,e1) = e1 ),
inference(resolve,[$cnf( $equal(e4,e1) )],[refute_0_13,refute_0_19]) ).
cnf(refute_0_21,plain,
( op(e3,e1) != e1
| op(op(e3,e1),op(e1,e3)) != e1
| op(e1,op(e1,e3)) = e1 ),
introduced(tautology,[equality,[$cnf( $equal(op(op(e3,e1),op(e1,e3)),e1) ),[0,0],$fot(e1)]]) ).
cnf(refute_0_22,plain,
( op(op(e3,e1),op(e1,e3)) != e1
| op(e0,e1) = e1
| op(e1,e1) = e1
| op(e1,op(e1,e3)) = e1
| op(e2,e1) = e1 ),
inference(resolve,[$cnf( $equal(op(e3,e1),e1) )],[refute_0_20,refute_0_21]) ).
cnf(refute_0_23,plain,
( op(e0,e1) = e1
| op(e1,e1) = e1
| op(e1,op(e1,e3)) = e1
| op(e2,e1) = e1 ),
inference(resolve,[$cnf( $equal(op(op(e3,e1),op(e1,e3)),e1) )],[refute_0_4,refute_0_22]) ).
cnf(refute_0_24,plain,
op(e1,op(e1,e3)) = e3,
inference(canonicalize,[],[normalize_0_14]) ).
cnf(refute_0_25,plain,
( op(e1,op(e1,e3)) != e1
| op(e1,op(e1,e3)) != e3
| e3 = e1 ),
introduced(tautology,[equality,[$cnf( $equal(op(e1,op(e1,e3)),e1) ),[0],$fot(e3)]]) ).
cnf(refute_0_26,plain,
( op(e1,op(e1,e3)) != e1
| e3 = e1 ),
inference(resolve,[$cnf( $equal(op(e1,op(e1,e3)),e3) )],[refute_0_24,refute_0_25]) ).
cnf(refute_0_27,plain,
( e3 = e1
| op(e0,e1) = e1
| op(e1,e1) = e1
| op(e2,e1) = e1 ),
inference(resolve,[$cnf( $equal(op(e1,op(e1,e3)),e1) )],[refute_0_23,refute_0_26]) ).
cnf(refute_0_28,plain,
e1 != e3,
inference(canonicalize,[],[normalize_0_15]) ).
cnf(refute_0_29,plain,
( e3 != e1
| e1 = e3 ),
inference(subst,[],[refute_0_17:[bind(X,$fot(e3)),bind(Y,$fot(e1))]]) ).
cnf(refute_0_30,plain,
e3 != e1,
inference(resolve,[$cnf( $equal(e1,e3) )],[refute_0_29,refute_0_28]) ).
cnf(refute_0_31,plain,
( op(e0,e1) = e1
| op(e1,e1) = e1
| op(e2,e1) = e1 ),
inference(resolve,[$cnf( $equal(e3,e1) )],[refute_0_27,refute_0_30]) ).
cnf(refute_0_32,plain,
( op(e2,e1) != e1
| op(op(e2,e1),op(e1,e2)) != e1
| op(e1,op(e1,e2)) = e1 ),
introduced(tautology,[equality,[$cnf( $equal(op(op(e2,e1),op(e1,e2)),e1) ),[0,0],$fot(e1)]]) ).
cnf(refute_0_33,plain,
( op(op(e2,e1),op(e1,e2)) != e1
| op(e0,e1) = e1
| op(e1,e1) = e1
| op(e1,op(e1,e2)) = e1 ),
inference(resolve,[$cnf( $equal(op(e2,e1),e1) )],[refute_0_31,refute_0_32]) ).
cnf(refute_0_34,plain,
( op(e0,e1) = e1
| op(e1,e1) = e1
| op(e1,op(e1,e2)) = e1 ),
inference(resolve,[$cnf( $equal(op(op(e2,e1),op(e1,e2)),e1) )],[refute_0_3,refute_0_33]) ).
cnf(refute_0_35,plain,
op(e1,op(e1,e2)) = e2,
inference(canonicalize,[],[normalize_0_16]) ).
cnf(refute_0_36,plain,
( op(e1,op(e1,e2)) != e1
| op(e1,op(e1,e2)) != e2
| e2 = e1 ),
introduced(tautology,[equality,[$cnf( $equal(op(e1,op(e1,e2)),e1) ),[0],$fot(e2)]]) ).
cnf(refute_0_37,plain,
( op(e1,op(e1,e2)) != e1
| e2 = e1 ),
inference(resolve,[$cnf( $equal(op(e1,op(e1,e2)),e2) )],[refute_0_35,refute_0_36]) ).
cnf(refute_0_38,plain,
( e2 = e1
| op(e0,e1) = e1
| op(e1,e1) = e1 ),
inference(resolve,[$cnf( $equal(op(e1,op(e1,e2)),e1) )],[refute_0_34,refute_0_37]) ).
cnf(refute_0_39,plain,
e1 != e2,
inference(canonicalize,[],[normalize_0_17]) ).
cnf(refute_0_40,plain,
( e2 != e1
| e1 = e2 ),
inference(subst,[],[refute_0_17:[bind(X,$fot(e2)),bind(Y,$fot(e1))]]) ).
cnf(refute_0_41,plain,
e2 != e1,
inference(resolve,[$cnf( $equal(e1,e2) )],[refute_0_40,refute_0_39]) ).
cnf(refute_0_42,plain,
( op(e0,e1) = e1
| op(e1,e1) = e1 ),
inference(resolve,[$cnf( $equal(e2,e1) )],[refute_0_38,refute_0_41]) ).
cnf(refute_0_43,plain,
( op(e1,e0) != e1
| op(e1,e1) != e1
| op(e1,e0) = op(e1,e1) ),
introduced(tautology,[equality,[$cnf( ~ $equal(op(e1,e0),op(e1,e1)) ),[1],$fot(e1)]]) ).
cnf(refute_0_44,plain,
( op(e1,e0) != e1
| op(e0,e1) = e1
| op(e1,e0) = op(e1,e1) ),
inference(resolve,[$cnf( $equal(op(e1,e1),e1) )],[refute_0_42,refute_0_43]) ).
cnf(refute_0_45,plain,
( op(e1,e0) != e1
| op(e0,e1) = e1 ),
inference(resolve,[$cnf( $equal(op(e1,e0),op(e1,e1)) )],[refute_0_44,refute_0_2]) ).
cnf(refute_0_46,plain,
( op(e1,e0) = e0
| op(e1,e0) = e1
| op(e1,e0) = e2
| op(e1,e0) = e3
| op(e1,e0) = e4 ),
inference(canonicalize,[],[normalize_0_19]) ).
cnf(refute_0_47,plain,
( op(e1,e0) != e0
| op(op(e1,e0),op(e0,e1)) != e0
| op(e0,op(e0,e1)) = e0 ),
introduced(tautology,[equality,[$cnf( $equal(op(op(e1,e0),op(e0,e1)),e0) ),[0,0],$fot(e0)]]) ).
cnf(refute_0_48,plain,
( op(op(e1,e0),op(e0,e1)) != e0
| op(e0,op(e0,e1)) = e0
| op(e1,e0) = e1
| op(e1,e0) = e2
| op(e1,e0) = e3
| op(e1,e0) = e4 ),
inference(resolve,[$cnf( $equal(op(e1,e0),e0) )],[refute_0_46,refute_0_47]) ).
cnf(refute_0_49,plain,
( op(e0,op(e0,e1)) = e0
| op(e1,e0) = e1
| op(e1,e0) = e2
| op(e1,e0) = e3
| op(e1,e0) = e4 ),
inference(resolve,[$cnf( $equal(op(op(e1,e0),op(e0,e1)),e0) )],[refute_0_1,refute_0_48]) ).
cnf(refute_0_50,plain,
op(e0,op(e0,e1)) = e1,
inference(canonicalize,[],[normalize_0_20]) ).
cnf(refute_0_51,plain,
( op(e0,op(e0,e1)) != e0
| op(e0,op(e0,e1)) != e1
| e1 = e0 ),
introduced(tautology,[equality,[$cnf( $equal(op(e0,op(e0,e1)),e0) ),[0],$fot(e1)]]) ).
cnf(refute_0_52,plain,
( op(e0,op(e0,e1)) != e0
| e1 = e0 ),
inference(resolve,[$cnf( $equal(op(e0,op(e0,e1)),e1) )],[refute_0_50,refute_0_51]) ).
cnf(refute_0_53,plain,
( e1 = e0
| op(e1,e0) = e1
| op(e1,e0) = e2
| op(e1,e0) = e3
| op(e1,e0) = e4 ),
inference(resolve,[$cnf( $equal(op(e0,op(e0,e1)),e0) )],[refute_0_49,refute_0_52]) ).
cnf(refute_0_54,plain,
e0 != e1,
inference(canonicalize,[],[normalize_0_21]) ).
cnf(refute_0_55,plain,
( e1 != e0
| e0 = e1 ),
inference(subst,[],[refute_0_17:[bind(X,$fot(e1)),bind(Y,$fot(e0))]]) ).
cnf(refute_0_56,plain,
e1 != e0,
inference(resolve,[$cnf( $equal(e0,e1) )],[refute_0_55,refute_0_54]) ).
cnf(refute_0_57,plain,
( op(e1,e0) = e1
| op(e1,e0) = e2
| op(e1,e0) = e3
| op(e1,e0) = e4 ),
inference(resolve,[$cnf( $equal(e1,e0) )],[refute_0_53,refute_0_56]) ).
cnf(refute_0_58,plain,
( e1 != e1
| op(e1,e0) != e1
| op(e1,e0) = e1 ),
introduced(tautology,[equality,[$cnf( $equal(op(e1,e0),e1) ),[0,0],$fot(e1)]]) ).
cnf(refute_0_59,plain,
( e1 != e1
| op(e1,e0) = e1
| op(e1,e0) = e2
| op(e1,e0) = e3
| op(e1,e0) = e4 ),
inference(resolve,[$cnf( $equal(op(e1,e0),e1) )],[refute_0_57,refute_0_58]) ).
cnf(refute_0_60,plain,
( e1 != e1
| op(e0,e1) = e1
| op(e1,e0) = e2
| op(e1,e0) = e3
| op(e1,e0) = e4 ),
inference(resolve,[$cnf( $equal(op(e1,e0),e1) )],[refute_0_59,refute_0_45]) ).
cnf(refute_0_61,plain,
e1 = e1,
introduced(tautology,[refl,[$fot(e1)]]) ).
cnf(refute_0_62,plain,
( op(e0,e1) = e1
| op(e1,e0) = e2
| op(e1,e0) = e3
| op(e1,e0) = e4 ),
inference(resolve,[$cnf( $equal(e1,e1) )],[refute_0_61,refute_0_60]) ).
cnf(refute_0_63,plain,
op(e0,e1) != op(e0,e2),
inference(canonicalize,[],[normalize_0_22]) ).
cnf(refute_0_64,plain,
op(op(e0,e1),op(e1,e0)) = e1,
inference(canonicalize,[],[normalize_0_23]) ).
cnf(refute_0_65,plain,
( op(e0,e1) = e0
| op(e0,e1) = e1
| op(e0,e1) = e2
| op(e0,e1) = e3
| op(e0,e1) = e4 ),
inference(canonicalize,[],[normalize_0_24]) ).
cnf(refute_0_66,plain,
( op(e0,e1) != e1
| op(op(e0,e1),op(e1,e0)) != e1
| op(e1,op(e1,e0)) = e1 ),
introduced(tautology,[equality,[$cnf( $equal(op(op(e0,e1),op(e1,e0)),e1) ),[0,0],$fot(e1)]]) ).
cnf(refute_0_67,plain,
( op(op(e0,e1),op(e1,e0)) != e1
| op(e0,e1) = e0
| op(e0,e1) = e2
| op(e0,e1) = e3
| op(e0,e1) = e4
| op(e1,op(e1,e0)) = e1 ),
inference(resolve,[$cnf( $equal(op(e0,e1),e1) )],[refute_0_65,refute_0_66]) ).
cnf(refute_0_68,plain,
( op(e0,e1) = e0
| op(e0,e1) = e2
| op(e0,e1) = e3
| op(e0,e1) = e4
| op(e1,op(e1,e0)) = e1 ),
inference(resolve,[$cnf( $equal(op(op(e0,e1),op(e1,e0)),e1) )],[refute_0_64,refute_0_67]) ).
cnf(refute_0_69,plain,
op(e1,op(e1,e0)) = e0,
inference(canonicalize,[],[normalize_0_25]) ).
cnf(refute_0_70,plain,
( op(e1,op(e1,e0)) != e0
| op(e1,op(e1,e0)) != e1
| e0 = e1 ),
introduced(tautology,[equality,[$cnf( $equal(op(e1,op(e1,e0)),e1) ),[0],$fot(e0)]]) ).
cnf(refute_0_71,plain,
( op(e1,op(e1,e0)) != e1
| e0 = e1 ),
inference(resolve,[$cnf( $equal(op(e1,op(e1,e0)),e0) )],[refute_0_69,refute_0_70]) ).
cnf(refute_0_72,plain,
( e0 = e1
| op(e0,e1) = e0
| op(e0,e1) = e2
| op(e0,e1) = e3
| op(e0,e1) = e4 ),
inference(resolve,[$cnf( $equal(op(e1,op(e1,e0)),e1) )],[refute_0_68,refute_0_71]) ).
cnf(refute_0_73,plain,
( op(e0,e1) = e0
| op(e0,e1) = e2
| op(e0,e1) = e3
| op(e0,e1) = e4 ),
inference(resolve,[$cnf( $equal(e0,e1) )],[refute_0_72,refute_0_54]) ).
cnf(refute_0_74,plain,
op(e0,e0) != op(e0,e1),
inference(canonicalize,[],[normalize_0_26]) ).
cnf(refute_0_75,plain,
op(op(e2,e0),op(e0,e2)) = e0,
inference(canonicalize,[],[normalize_0_27]) ).
cnf(refute_0_76,plain,
op(op(e3,e0),op(e0,e3)) = e0,
inference(canonicalize,[],[normalize_0_28]) ).
cnf(refute_0_77,plain,
op(op(e4,e0),op(e0,e4)) = e0,
inference(canonicalize,[],[normalize_0_29]) ).
cnf(refute_0_78,plain,
( op(e0,e0) = e0
| op(e1,e0) = e0
| op(e2,e0) = e0
| op(e3,e0) = e0
| op(e4,e0) = e0 ),
inference(canonicalize,[],[normalize_0_30]) ).
cnf(refute_0_79,plain,
( op(e4,e0) != e0
| op(op(e4,e0),op(e0,e4)) != e0
| op(e0,op(e0,e4)) = e0 ),
introduced(tautology,[equality,[$cnf( $equal(op(op(e4,e0),op(e0,e4)),e0) ),[0,0],$fot(e0)]]) ).
cnf(refute_0_80,plain,
( op(op(e4,e0),op(e0,e4)) != e0
| op(e0,e0) = e0
| op(e0,op(e0,e4)) = e0
| op(e1,e0) = e0
| op(e2,e0) = e0
| op(e3,e0) = e0 ),
inference(resolve,[$cnf( $equal(op(e4,e0),e0) )],[refute_0_78,refute_0_79]) ).
cnf(refute_0_81,plain,
( op(e0,e0) = e0
| op(e0,op(e0,e4)) = e0
| op(e1,e0) = e0
| op(e2,e0) = e0
| op(e3,e0) = e0 ),
inference(resolve,[$cnf( $equal(op(op(e4,e0),op(e0,e4)),e0) )],[refute_0_77,refute_0_80]) ).
cnf(refute_0_82,plain,
op(e0,op(e0,e4)) = e4,
inference(canonicalize,[],[normalize_0_31]) ).
cnf(refute_0_83,plain,
( op(e0,op(e0,e4)) != e0
| op(e0,op(e0,e4)) != e4
| e4 = e0 ),
introduced(tautology,[equality,[$cnf( $equal(op(e0,op(e0,e4)),e0) ),[0],$fot(e4)]]) ).
cnf(refute_0_84,plain,
( op(e0,op(e0,e4)) != e0
| e4 = e0 ),
inference(resolve,[$cnf( $equal(op(e0,op(e0,e4)),e4) )],[refute_0_82,refute_0_83]) ).
cnf(refute_0_85,plain,
( e4 = e0
| op(e0,e0) = e0
| op(e1,e0) = e0
| op(e2,e0) = e0
| op(e3,e0) = e0 ),
inference(resolve,[$cnf( $equal(op(e0,op(e0,e4)),e0) )],[refute_0_81,refute_0_84]) ).
cnf(refute_0_86,plain,
e0 != e4,
inference(canonicalize,[],[normalize_0_32]) ).
cnf(refute_0_87,plain,
( e4 != e0
| e0 = e4 ),
inference(subst,[],[refute_0_17:[bind(X,$fot(e4)),bind(Y,$fot(e0))]]) ).
cnf(refute_0_88,plain,
e4 != e0,
inference(resolve,[$cnf( $equal(e0,e4) )],[refute_0_87,refute_0_86]) ).
cnf(refute_0_89,plain,
( op(e0,e0) = e0
| op(e1,e0) = e0
| op(e2,e0) = e0
| op(e3,e0) = e0 ),
inference(resolve,[$cnf( $equal(e4,e0) )],[refute_0_85,refute_0_88]) ).
cnf(refute_0_90,plain,
( op(e3,e0) != e0
| op(op(e3,e0),op(e0,e3)) != e0
| op(e0,op(e0,e3)) = e0 ),
introduced(tautology,[equality,[$cnf( $equal(op(op(e3,e0),op(e0,e3)),e0) ),[0,0],$fot(e0)]]) ).
cnf(refute_0_91,plain,
( op(op(e3,e0),op(e0,e3)) != e0
| op(e0,e0) = e0
| op(e0,op(e0,e3)) = e0
| op(e1,e0) = e0
| op(e2,e0) = e0 ),
inference(resolve,[$cnf( $equal(op(e3,e0),e0) )],[refute_0_89,refute_0_90]) ).
cnf(refute_0_92,plain,
( op(e0,e0) = e0
| op(e0,op(e0,e3)) = e0
| op(e1,e0) = e0
| op(e2,e0) = e0 ),
inference(resolve,[$cnf( $equal(op(op(e3,e0),op(e0,e3)),e0) )],[refute_0_76,refute_0_91]) ).
cnf(refute_0_93,plain,
op(e0,op(e0,e3)) = e3,
inference(canonicalize,[],[normalize_0_33]) ).
cnf(refute_0_94,plain,
( op(e0,op(e0,e3)) != e0
| op(e0,op(e0,e3)) != e3
| e3 = e0 ),
introduced(tautology,[equality,[$cnf( $equal(op(e0,op(e0,e3)),e0) ),[0],$fot(e3)]]) ).
cnf(refute_0_95,plain,
( op(e0,op(e0,e3)) != e0
| e3 = e0 ),
inference(resolve,[$cnf( $equal(op(e0,op(e0,e3)),e3) )],[refute_0_93,refute_0_94]) ).
cnf(refute_0_96,plain,
( e3 = e0
| op(e0,e0) = e0
| op(e1,e0) = e0
| op(e2,e0) = e0 ),
inference(resolve,[$cnf( $equal(op(e0,op(e0,e3)),e0) )],[refute_0_92,refute_0_95]) ).
cnf(refute_0_97,plain,
e0 != e3,
inference(canonicalize,[],[normalize_0_34]) ).
cnf(refute_0_98,plain,
( e3 != e0
| e0 = e3 ),
inference(subst,[],[refute_0_17:[bind(X,$fot(e3)),bind(Y,$fot(e0))]]) ).
cnf(refute_0_99,plain,
e3 != e0,
inference(resolve,[$cnf( $equal(e0,e3) )],[refute_0_98,refute_0_97]) ).
cnf(refute_0_100,plain,
( op(e0,e0) = e0
| op(e1,e0) = e0
| op(e2,e0) = e0 ),
inference(resolve,[$cnf( $equal(e3,e0) )],[refute_0_96,refute_0_99]) ).
cnf(refute_0_101,plain,
( op(e2,e0) != e0
| op(op(e2,e0),op(e0,e2)) != e0
| op(e0,op(e0,e2)) = e0 ),
introduced(tautology,[equality,[$cnf( $equal(op(op(e2,e0),op(e0,e2)),e0) ),[0,0],$fot(e0)]]) ).
cnf(refute_0_102,plain,
( op(op(e2,e0),op(e0,e2)) != e0
| op(e0,e0) = e0
| op(e0,op(e0,e2)) = e0
| op(e1,e0) = e0 ),
inference(resolve,[$cnf( $equal(op(e2,e0),e0) )],[refute_0_100,refute_0_101]) ).
cnf(refute_0_103,plain,
( op(e0,e0) = e0
| op(e0,op(e0,e2)) = e0
| op(e1,e0) = e0 ),
inference(resolve,[$cnf( $equal(op(op(e2,e0),op(e0,e2)),e0) )],[refute_0_75,refute_0_102]) ).
cnf(refute_0_104,plain,
op(e0,op(e0,e2)) = e2,
inference(canonicalize,[],[normalize_0_35]) ).
cnf(refute_0_105,plain,
( op(e0,op(e0,e2)) != e0
| op(e0,op(e0,e2)) != e2
| e2 = e0 ),
introduced(tautology,[equality,[$cnf( $equal(op(e0,op(e0,e2)),e0) ),[0],$fot(e2)]]) ).
cnf(refute_0_106,plain,
( op(e0,op(e0,e2)) != e0
| e2 = e0 ),
inference(resolve,[$cnf( $equal(op(e0,op(e0,e2)),e2) )],[refute_0_104,refute_0_105]) ).
cnf(refute_0_107,plain,
( e2 = e0
| op(e0,e0) = e0
| op(e1,e0) = e0 ),
inference(resolve,[$cnf( $equal(op(e0,op(e0,e2)),e0) )],[refute_0_103,refute_0_106]) ).
cnf(refute_0_108,plain,
e0 != e2,
inference(canonicalize,[],[normalize_0_36]) ).
cnf(refute_0_109,plain,
( e2 != e0
| e0 = e2 ),
inference(subst,[],[refute_0_17:[bind(X,$fot(e2)),bind(Y,$fot(e0))]]) ).
cnf(refute_0_110,plain,
e2 != e0,
inference(resolve,[$cnf( $equal(e0,e2) )],[refute_0_109,refute_0_108]) ).
cnf(refute_0_111,plain,
( op(e0,e0) = e0
| op(e1,e0) = e0 ),
inference(resolve,[$cnf( $equal(e2,e0) )],[refute_0_107,refute_0_110]) ).
cnf(refute_0_112,plain,
( op(op(e1,e0),op(e0,e1)) != e0
| op(e0,e0) = e0
| op(e0,op(e0,e1)) = e0 ),
inference(resolve,[$cnf( $equal(op(e1,e0),e0) )],[refute_0_111,refute_0_47]) ).
cnf(refute_0_113,plain,
( op(e0,e0) = e0
| op(e0,op(e0,e1)) = e0 ),
inference(resolve,[$cnf( $equal(op(op(e1,e0),op(e0,e1)),e0) )],[refute_0_1,refute_0_112]) ).
cnf(refute_0_114,plain,
( e1 = e0
| op(e0,e0) = e0 ),
inference(resolve,[$cnf( $equal(op(e0,op(e0,e1)),e0) )],[refute_0_113,refute_0_52]) ).
cnf(refute_0_115,plain,
op(e0,e0) = e0,
inference(resolve,[$cnf( $equal(e1,e0) )],[refute_0_114,refute_0_56]) ).
cnf(refute_0_116,plain,
( e0 != op(e0,e1)
| op(e0,e0) != e0
| op(e0,e0) = op(e0,e1) ),
introduced(tautology,[equality,[$cnf( $equal(op(e0,e0),e0) ),[1],$fot(op(e0,e1))]]) ).
cnf(refute_0_117,plain,
( e0 != op(e0,e1)
| op(e0,e0) = op(e0,e1) ),
inference(resolve,[$cnf( $equal(op(e0,e0),e0) )],[refute_0_115,refute_0_116]) ).
cnf(refute_0_118,plain,
e0 != op(e0,e1),
inference(resolve,[$cnf( $equal(op(e0,e0),op(e0,e1)) )],[refute_0_117,refute_0_74]) ).
cnf(refute_0_119,plain,
( op(e0,e1) != e0
| e0 = op(e0,e1) ),
inference(subst,[],[refute_0_17:[bind(X,$fot(op(e0,e1))),bind(Y,$fot(e0))]]) ).
cnf(refute_0_120,plain,
op(e0,e1) != e0,
inference(resolve,[$cnf( $equal(e0,op(e0,e1)) )],[refute_0_119,refute_0_118]) ).
cnf(refute_0_121,plain,
( op(e0,e1) = e2
| op(e0,e1) = e3
| op(e0,e1) = e4 ),
inference(resolve,[$cnf( $equal(op(e0,e1),e0) )],[refute_0_73,refute_0_120]) ).
cnf(refute_0_122,plain,
( op(e0,e1) != e2
| op(e0,op(e0,e1)) != e1
| op(e0,e2) = e1 ),
introduced(tautology,[equality,[$cnf( $equal(op(e0,op(e0,e1)),e1) ),[0,1],$fot(e2)]]) ).
cnf(refute_0_123,plain,
( op(e0,op(e0,e1)) != e1
| op(e0,e1) = e3
| op(e0,e1) = e4
| op(e0,e2) = e1 ),
inference(resolve,[$cnf( $equal(op(e0,e1),e2) )],[refute_0_121,refute_0_122]) ).
cnf(refute_0_124,plain,
( op(e0,e1) = e3
| op(e0,e1) = e4
| op(e0,e2) = e1 ),
inference(resolve,[$cnf( $equal(op(e0,op(e0,e1)),e1) )],[refute_0_50,refute_0_123]) ).
cnf(refute_0_125,plain,
( op(e0,e1) != e1
| op(e0,e2) != e1
| op(e0,e1) = op(e0,e2) ),
introduced(tautology,[equality,[$cnf( ~ $equal(op(e0,e1),op(e0,e2)) ),[1],$fot(e1)]]) ).
cnf(refute_0_126,plain,
( op(e0,e1) != e1
| op(e0,e1) = e3
| op(e0,e1) = e4
| op(e0,e1) = op(e0,e2) ),
inference(resolve,[$cnf( $equal(op(e0,e2),e1) )],[refute_0_124,refute_0_125]) ).
cnf(refute_0_127,plain,
( op(e0,e1) != e1
| op(e0,e1) = e3
| op(e0,e1) = e4 ),
inference(resolve,[$cnf( $equal(op(e0,e1),op(e0,e2)) )],[refute_0_126,refute_0_63]) ).
cnf(refute_0_128,plain,
( op(e0,e1) != e1
| op(e0,e1) != e3
| e1 = e3 ),
introduced(tautology,[equality,[$cnf( $equal(op(e0,e1),e3) ),[0],$fot(e1)]]) ).
cnf(refute_0_129,plain,
( op(e0,e1) != e1
| e1 = e3
| op(e0,e1) = e4 ),
inference(resolve,[$cnf( $equal(op(e0,e1),e3) )],[refute_0_127,refute_0_128]) ).
cnf(refute_0_130,plain,
( op(e0,e1) != e1
| op(e0,e1) != e4
| e1 = e4 ),
introduced(tautology,[equality,[$cnf( $equal(op(e0,e1),e4) ),[0],$fot(e1)]]) ).
cnf(refute_0_131,plain,
( op(e0,e1) != e1
| e1 = e3
| e1 = e4 ),
inference(resolve,[$cnf( $equal(op(e0,e1),e4) )],[refute_0_129,refute_0_130]) ).
cnf(refute_0_132,plain,
( op(e0,e1) != e1
| e1 = e4 ),
inference(resolve,[$cnf( $equal(e1,e3) )],[refute_0_131,refute_0_28]) ).
cnf(refute_0_133,plain,
op(e0,e1) != e1,
inference(resolve,[$cnf( $equal(e1,e4) )],[refute_0_132,refute_0_14]) ).
cnf(refute_0_134,plain,
( op(e1,e0) = e2
| op(e1,e0) = e3
| op(e1,e0) = e4 ),
inference(resolve,[$cnf( $equal(op(e0,e1),e1) )],[refute_0_62,refute_0_133]) ).
cnf(refute_0_135,plain,
( op(e1,e0) != e3
| op(op(e1,e0),op(e0,e1)) != e0
| op(e3,op(e0,e1)) = e0 ),
introduced(tautology,[equality,[$cnf( $equal(op(op(e1,e0),op(e0,e1)),e0) ),[0,0],$fot(e3)]]) ).
cnf(refute_0_136,plain,
( op(op(e1,e0),op(e0,e1)) != e0
| op(e1,e0) = e2
| op(e1,e0) = e4
| op(e3,op(e0,e1)) = e0 ),
inference(resolve,[$cnf( $equal(op(e1,e0),e3) )],[refute_0_134,refute_0_135]) ).
cnf(refute_0_137,plain,
( op(e1,e0) = e2
| op(e1,e0) = e4
| op(e3,op(e0,e1)) = e0 ),
inference(resolve,[$cnf( $equal(op(op(e1,e0),op(e0,e1)),e0) )],[refute_0_1,refute_0_136]) ).
cnf(refute_0_138,plain,
( e0 != op(e1,e3)
| e2 != op(op(e1,e3),e1)
| e4 != op(e1,op(op(e1,e3),e1)) ),
inference(canonicalize,[],[normalize_0_37]) ).
cnf(refute_0_139,plain,
e2 = e2,
introduced(tautology,[refl,[$fot(e2)]]) ).
cnf(refute_0_140,plain,
( e2 != e2
| e2 != op(op(e1,e3),e1)
| op(op(e1,e3),e1) = e2 ),
introduced(tautology,[equality,[$cnf( $equal(e2,e2) ),[0],$fot(op(op(e1,e3),e1))]]) ).
cnf(refute_0_141,plain,
( e2 != op(op(e1,e3),e1)
| op(op(e1,e3),e1) = e2 ),
inference(resolve,[$cnf( $equal(e2,e2) )],[refute_0_139,refute_0_140]) ).
cnf(refute_0_142,plain,
op(e1,op(op(e1,e3),e1)) = op(e1,op(op(e1,e3),e1)),
introduced(tautology,[refl,[$fot(op(e1,op(op(e1,e3),e1)))]]) ).
cnf(refute_0_143,plain,
( op(e1,op(op(e1,e3),e1)) != op(e1,op(op(e1,e3),e1))
| op(op(e1,e3),e1) != e2
| op(e1,op(op(e1,e3),e1)) = op(e1,e2) ),
introduced(tautology,[equality,[$cnf( $equal(op(e1,op(op(e1,e3),e1)),op(e1,op(op(e1,e3),e1))) ),[1,1],$fot(e2)]]) ).
cnf(refute_0_144,plain,
( op(op(e1,e3),e1) != e2
| op(e1,op(op(e1,e3),e1)) = op(e1,e2) ),
inference(resolve,[$cnf( $equal(op(e1,op(op(e1,e3),e1)),op(e1,op(op(e1,e3),e1))) )],[refute_0_142,refute_0_143]) ).
cnf(refute_0_145,plain,
( e2 != op(op(e1,e3),e1)
| op(e1,op(op(e1,e3),e1)) = op(e1,e2) ),
inference(resolve,[$cnf( $equal(op(op(e1,e3),e1),e2) )],[refute_0_141,refute_0_144]) ).
cnf(refute_0_146,plain,
( e4 != op(e1,e2)
| op(e1,op(op(e1,e3),e1)) != op(e1,e2)
| e4 = op(e1,op(op(e1,e3),e1)) ),
introduced(tautology,[equality,[$cnf( ~ $equal(e4,op(e1,op(op(e1,e3),e1))) ),[1],$fot(op(e1,e2))]]) ).
cnf(refute_0_147,plain,
( e2 != op(op(e1,e3),e1)
| e4 != op(e1,e2)
| e4 = op(e1,op(op(e1,e3),e1)) ),
inference(resolve,[$cnf( $equal(op(e1,op(op(e1,e3),e1)),op(e1,e2)) )],[refute_0_145,refute_0_146]) ).
cnf(refute_0_148,plain,
( e0 != op(e1,e3)
| e2 != op(op(e1,e3),e1)
| e4 != op(e1,e2) ),
inference(resolve,[$cnf( $equal(e4,op(e1,op(op(e1,e3),e1))) )],[refute_0_147,refute_0_138]) ).
cnf(refute_0_149,plain,
e0 = e0,
introduced(tautology,[refl,[$fot(e0)]]) ).
cnf(refute_0_150,plain,
( e0 != e0
| e0 != op(e1,e3)
| op(e1,e3) = e0 ),
introduced(tautology,[equality,[$cnf( $equal(e0,e0) ),[0],$fot(op(e1,e3))]]) ).
cnf(refute_0_151,plain,
( e0 != op(e1,e3)
| op(e1,e3) = e0 ),
inference(resolve,[$cnf( $equal(e0,e0) )],[refute_0_149,refute_0_150]) ).
cnf(refute_0_152,plain,
op(op(e1,e3),e1) = op(op(e1,e3),e1),
introduced(tautology,[refl,[$fot(op(op(e1,e3),e1))]]) ).
cnf(refute_0_153,plain,
( op(e1,e3) != e0
| op(op(e1,e3),e1) != op(op(e1,e3),e1)
| op(op(e1,e3),e1) = op(e0,e1) ),
introduced(tautology,[equality,[$cnf( $equal(op(op(e1,e3),e1),op(op(e1,e3),e1)) ),[1,0],$fot(e0)]]) ).
cnf(refute_0_154,plain,
( op(e1,e3) != e0
| op(op(e1,e3),e1) = op(e0,e1) ),
inference(resolve,[$cnf( $equal(op(op(e1,e3),e1),op(op(e1,e3),e1)) )],[refute_0_152,refute_0_153]) ).
cnf(refute_0_155,plain,
( e0 != op(e1,e3)
| op(op(e1,e3),e1) = op(e0,e1) ),
inference(resolve,[$cnf( $equal(op(e1,e3),e0) )],[refute_0_151,refute_0_154]) ).
cnf(refute_0_156,plain,
( e2 != op(e0,e1)
| op(op(e1,e3),e1) != op(e0,e1)
| e2 = op(op(e1,e3),e1) ),
introduced(tautology,[equality,[$cnf( ~ $equal(e2,op(op(e1,e3),e1)) ),[1],$fot(op(e0,e1))]]) ).
cnf(refute_0_157,plain,
( e0 != op(e1,e3)
| e2 != op(e0,e1)
| e2 = op(op(e1,e3),e1) ),
inference(resolve,[$cnf( $equal(op(op(e1,e3),e1),op(e0,e1)) )],[refute_0_155,refute_0_156]) ).
cnf(refute_0_158,plain,
( e0 != op(e1,e3)
| e2 != op(e0,e1)
| e4 != op(e1,e2) ),
inference(resolve,[$cnf( $equal(e2,op(op(e1,e3),e1)) )],[refute_0_157,refute_0_148]) ).
cnf(refute_0_159,plain,
op(e1,e2) != op(e1,e3),
inference(canonicalize,[],[normalize_0_38]) ).
cnf(refute_0_160,plain,
op(e1,e1) != op(e1,e3),
inference(canonicalize,[],[normalize_0_39]) ).
cnf(refute_0_161,plain,
( e1 != op(e1,e3)
| op(e1,e1) != e1
| op(e1,e1) = op(e1,e3) ),
introduced(tautology,[equality,[$cnf( $equal(op(e1,e1),e1) ),[1],$fot(op(e1,e3))]]) ).
cnf(refute_0_162,plain,
( e1 != op(e1,e3)
| op(e0,e1) = e1
| op(e1,e1) = op(e1,e3) ),
inference(resolve,[$cnf( $equal(op(e1,e1),e1) )],[refute_0_42,refute_0_161]) ).
cnf(refute_0_163,plain,
( e1 != op(e1,e3)
| op(e0,e1) = e1 ),
inference(resolve,[$cnf( $equal(op(e1,e1),op(e1,e3)) )],[refute_0_162,refute_0_160]) ).
cnf(refute_0_164,plain,
op(op(e1,e3),op(e3,e1)) = e3,
inference(canonicalize,[],[normalize_0_40]) ).
cnf(refute_0_165,plain,
( op(e1,e3) = e0
| op(e1,e3) = e1
| op(e1,e3) = e2
| op(e1,e3) = e3
| op(e1,e3) = e4 ),
inference(canonicalize,[],[normalize_0_41]) ).
cnf(refute_0_166,plain,
( op(e1,e3) != e3
| op(op(e1,e3),op(e3,e1)) != e3
| op(e3,op(e3,e1)) = e3 ),
introduced(tautology,[equality,[$cnf( $equal(op(op(e1,e3),op(e3,e1)),e3) ),[0,0],$fot(e3)]]) ).
cnf(refute_0_167,plain,
( op(op(e1,e3),op(e3,e1)) != e3
| op(e1,e3) = e0
| op(e1,e3) = e1
| op(e1,e3) = e2
| op(e1,e3) = e4
| op(e3,op(e3,e1)) = e3 ),
inference(resolve,[$cnf( $equal(op(e1,e3),e3) )],[refute_0_165,refute_0_166]) ).
cnf(refute_0_168,plain,
( op(e1,e3) = e0
| op(e1,e3) = e1
| op(e1,e3) = e2
| op(e1,e3) = e4
| op(e3,op(e3,e1)) = e3 ),
inference(resolve,[$cnf( $equal(op(op(e1,e3),op(e3,e1)),e3) )],[refute_0_164,refute_0_167]) ).
cnf(refute_0_169,plain,
op(e3,op(e3,e1)) = e1,
inference(canonicalize,[],[normalize_0_42]) ).
cnf(refute_0_170,plain,
( op(e3,op(e3,e1)) != e1
| op(e3,op(e3,e1)) != e3
| e1 = e3 ),
introduced(tautology,[equality,[$cnf( $equal(op(e3,op(e3,e1)),e3) ),[0],$fot(e1)]]) ).
cnf(refute_0_171,plain,
( op(e3,op(e3,e1)) != e3
| e1 = e3 ),
inference(resolve,[$cnf( $equal(op(e3,op(e3,e1)),e1) )],[refute_0_169,refute_0_170]) ).
cnf(refute_0_172,plain,
( e1 = e3
| op(e1,e3) = e0
| op(e1,e3) = e1
| op(e1,e3) = e2
| op(e1,e3) = e4 ),
inference(resolve,[$cnf( $equal(op(e3,op(e3,e1)),e3) )],[refute_0_168,refute_0_171]) ).
cnf(refute_0_173,plain,
( op(e1,e3) = e0
| op(e1,e3) = e1
| op(e1,e3) = e2
| op(e1,e3) = e4 ),
inference(resolve,[$cnf( $equal(e1,e3) )],[refute_0_172,refute_0_28]) ).
cnf(refute_0_174,plain,
( e1 != e1
| op(e1,e3) != e1
| e1 = op(e1,e3) ),
introduced(tautology,[equality,[$cnf( ~ $equal(e1,op(e1,e3)) ),[1],$fot(e1)]]) ).
cnf(refute_0_175,plain,
( e1 != e1
| e1 = op(e1,e3)
| op(e1,e3) = e0
| op(e1,e3) = e2
| op(e1,e3) = e4 ),
inference(resolve,[$cnf( $equal(op(e1,e3),e1) )],[refute_0_173,refute_0_174]) ).
cnf(refute_0_176,plain,
( e1 != e1
| op(e0,e1) = e1
| op(e1,e3) = e0
| op(e1,e3) = e2
| op(e1,e3) = e4 ),
inference(resolve,[$cnf( $equal(e1,op(e1,e3)) )],[refute_0_175,refute_0_163]) ).
cnf(refute_0_177,plain,
( op(e0,e1) = e1
| op(e1,e3) = e0
| op(e1,e3) = e2
| op(e1,e3) = e4 ),
inference(resolve,[$cnf( $equal(e1,e1) )],[refute_0_61,refute_0_176]) ).
cnf(refute_0_178,plain,
( op(e1,e3) = e0
| op(e1,e3) = e2
| op(e1,e3) = e4 ),
inference(resolve,[$cnf( $equal(op(e0,e1),e1) )],[refute_0_177,refute_0_133]) ).
cnf(refute_0_179,plain,
( op(e1,e3) != e2
| op(e1,op(e1,e3)) != e3
| op(e1,e2) = e3 ),
introduced(tautology,[equality,[$cnf( $equal(op(e1,op(e1,e3)),e3) ),[0,1],$fot(e2)]]) ).
cnf(refute_0_180,plain,
( op(e1,op(e1,e3)) != e3
| op(e1,e2) = e3
| op(e1,e3) = e0
| op(e1,e3) = e4 ),
inference(resolve,[$cnf( $equal(op(e1,e3),e2) )],[refute_0_178,refute_0_179]) ).
cnf(refute_0_181,plain,
( op(e1,e2) = e3
| op(e1,e3) = e0
| op(e1,e3) = e4 ),
inference(resolve,[$cnf( $equal(op(e1,op(e1,e3)),e3) )],[refute_0_24,refute_0_180]) ).
cnf(refute_0_182,plain,
( op(e1,e2) != e4
| op(e1,e3) != e4
| op(e1,e2) = op(e1,e3) ),
introduced(tautology,[equality,[$cnf( ~ $equal(op(e1,e2),op(e1,e3)) ),[1],$fot(e4)]]) ).
cnf(refute_0_183,plain,
( op(e1,e2) != e4
| op(e1,e2) = e3
| op(e1,e2) = op(e1,e3)
| op(e1,e3) = e0 ),
inference(resolve,[$cnf( $equal(op(e1,e3),e4) )],[refute_0_181,refute_0_182]) ).
cnf(refute_0_184,plain,
( op(e1,e2) != e4
| op(e1,e2) = e3
| op(e1,e3) = e0 ),
inference(resolve,[$cnf( $equal(op(e1,e2),op(e1,e3)) )],[refute_0_183,refute_0_159]) ).
cnf(refute_0_185,plain,
( op(e1,e2) != e3
| op(e1,e2) != e4
| e4 = e3 ),
introduced(tautology,[equality,[$cnf( $equal(op(e1,e2),e3) ),[0],$fot(e4)]]) ).
cnf(refute_0_186,plain,
( op(e1,e2) != e4
| e4 = e3
| op(e1,e3) = e0 ),
inference(resolve,[$cnf( $equal(op(e1,e2),e3) )],[refute_0_184,refute_0_185]) ).
cnf(refute_0_187,plain,
e3 != e4,
inference(canonicalize,[],[normalize_0_43]) ).
cnf(refute_0_188,plain,
( e4 != e3
| e3 = e4 ),
inference(subst,[],[refute_0_17:[bind(X,$fot(e4)),bind(Y,$fot(e3))]]) ).
cnf(refute_0_189,plain,
e4 != e3,
inference(resolve,[$cnf( $equal(e3,e4) )],[refute_0_188,refute_0_187]) ).
cnf(refute_0_190,plain,
( op(e1,e2) != e4
| op(e1,e3) = e0 ),
inference(resolve,[$cnf( $equal(e4,e3) )],[refute_0_186,refute_0_189]) ).
cnf(refute_0_191,plain,
op(e1,e1) != op(e1,e2),
inference(canonicalize,[],[normalize_0_44]) ).
cnf(refute_0_192,plain,
( e1 != op(e1,e2)
| op(e1,e1) != e1
| op(e1,e1) = op(e1,e2) ),
introduced(tautology,[equality,[$cnf( $equal(op(e1,e1),e1) ),[1],$fot(op(e1,e2))]]) ).
cnf(refute_0_193,plain,
( e1 != op(e1,e2)
| op(e0,e1) = e1
| op(e1,e1) = op(e1,e2) ),
inference(resolve,[$cnf( $equal(op(e1,e1),e1) )],[refute_0_42,refute_0_192]) ).
cnf(refute_0_194,plain,
( e1 != op(e1,e2)
| op(e0,e1) = e1 ),
inference(resolve,[$cnf( $equal(op(e1,e1),op(e1,e2)) )],[refute_0_193,refute_0_191]) ).
cnf(refute_0_195,plain,
op(op(e1,e2),op(e2,e1)) = e2,
inference(canonicalize,[],[normalize_0_45]) ).
cnf(refute_0_196,plain,
( op(e1,e2) = e0
| op(e1,e2) = e1
| op(e1,e2) = e2
| op(e1,e2) = e3
| op(e1,e2) = e4 ),
inference(canonicalize,[],[normalize_0_46]) ).
cnf(refute_0_197,plain,
( op(e1,e2) != e2
| op(op(e1,e2),op(e2,e1)) != e2
| op(e2,op(e2,e1)) = e2 ),
introduced(tautology,[equality,[$cnf( $equal(op(op(e1,e2),op(e2,e1)),e2) ),[0,0],$fot(e2)]]) ).
cnf(refute_0_198,plain,
( op(op(e1,e2),op(e2,e1)) != e2
| op(e1,e2) = e0
| op(e1,e2) = e1
| op(e1,e2) = e3
| op(e1,e2) = e4
| op(e2,op(e2,e1)) = e2 ),
inference(resolve,[$cnf( $equal(op(e1,e2),e2) )],[refute_0_196,refute_0_197]) ).
cnf(refute_0_199,plain,
( op(e1,e2) = e0
| op(e1,e2) = e1
| op(e1,e2) = e3
| op(e1,e2) = e4
| op(e2,op(e2,e1)) = e2 ),
inference(resolve,[$cnf( $equal(op(op(e1,e2),op(e2,e1)),e2) )],[refute_0_195,refute_0_198]) ).
cnf(refute_0_200,plain,
op(e2,op(e2,e1)) = e1,
inference(canonicalize,[],[normalize_0_47]) ).
cnf(refute_0_201,plain,
( op(e2,op(e2,e1)) != e1
| op(e2,op(e2,e1)) != e2
| e1 = e2 ),
introduced(tautology,[equality,[$cnf( $equal(op(e2,op(e2,e1)),e2) ),[0],$fot(e1)]]) ).
cnf(refute_0_202,plain,
( op(e2,op(e2,e1)) != e2
| e1 = e2 ),
inference(resolve,[$cnf( $equal(op(e2,op(e2,e1)),e1) )],[refute_0_200,refute_0_201]) ).
cnf(refute_0_203,plain,
( e1 = e2
| op(e1,e2) = e0
| op(e1,e2) = e1
| op(e1,e2) = e3
| op(e1,e2) = e4 ),
inference(resolve,[$cnf( $equal(op(e2,op(e2,e1)),e2) )],[refute_0_199,refute_0_202]) ).
cnf(refute_0_204,plain,
( op(e1,e2) = e0
| op(e1,e2) = e1
| op(e1,e2) = e3
| op(e1,e2) = e4 ),
inference(resolve,[$cnf( $equal(e1,e2) )],[refute_0_203,refute_0_39]) ).
cnf(refute_0_205,plain,
( e1 != e1
| op(e1,e2) != e1
| e1 = op(e1,e2) ),
introduced(tautology,[equality,[$cnf( ~ $equal(e1,op(e1,e2)) ),[1],$fot(e1)]]) ).
cnf(refute_0_206,plain,
( e1 != e1
| e1 = op(e1,e2)
| op(e1,e2) = e0
| op(e1,e2) = e3
| op(e1,e2) = e4 ),
inference(resolve,[$cnf( $equal(op(e1,e2),e1) )],[refute_0_204,refute_0_205]) ).
cnf(refute_0_207,plain,
( e1 != e1
| op(e0,e1) = e1
| op(e1,e2) = e0
| op(e1,e2) = e3
| op(e1,e2) = e4 ),
inference(resolve,[$cnf( $equal(e1,op(e1,e2)) )],[refute_0_206,refute_0_194]) ).
cnf(refute_0_208,plain,
( op(e0,e1) = e1
| op(e1,e2) = e0
| op(e1,e2) = e3
| op(e1,e2) = e4 ),
inference(resolve,[$cnf( $equal(e1,e1) )],[refute_0_61,refute_0_207]) ).
cnf(refute_0_209,plain,
( op(e1,e2) = e0
| op(e1,e2) = e3
| op(e1,e2) = e4 ),
inference(resolve,[$cnf( $equal(op(e0,e1),e1) )],[refute_0_208,refute_0_133]) ).
cnf(refute_0_210,plain,
( e4 != e4
| op(e1,e2) != e4
| op(e1,e2) = e4 ),
introduced(tautology,[equality,[$cnf( $equal(op(e1,e2),e4) ),[1],$fot(e4)]]) ).
cnf(refute_0_211,plain,
( e4 != e4
| op(e1,e2) = e0
| op(e1,e2) = e3
| op(e1,e2) = e4 ),
inference(resolve,[$cnf( $equal(op(e1,e2),e4) )],[refute_0_209,refute_0_210]) ).
cnf(refute_0_212,plain,
( e4 != e4
| op(e1,e2) = e0
| op(e1,e2) = e3
| op(e1,e3) = e0 ),
inference(resolve,[$cnf( $equal(op(e1,e2),e4) )],[refute_0_211,refute_0_190]) ).
cnf(refute_0_213,plain,
e4 = e4,
introduced(tautology,[refl,[$fot(e4)]]) ).
cnf(refute_0_214,plain,
( op(e1,e2) = e0
| op(e1,e2) = e3
| op(e1,e3) = e0 ),
inference(resolve,[$cnf( $equal(e4,e4) )],[refute_0_213,refute_0_212]) ).
cnf(refute_0_215,plain,
( e0 != e0
| op(e1,e3) != e0
| e0 = op(e1,e3) ),
introduced(tautology,[equality,[$cnf( ~ $equal(e0,op(e1,e3)) ),[1],$fot(e0)]]) ).
cnf(refute_0_216,plain,
( e0 != e0
| e0 = op(e1,e3)
| op(e1,e2) = e0
| op(e1,e2) = e3 ),
inference(resolve,[$cnf( $equal(op(e1,e3),e0) )],[refute_0_214,refute_0_215]) ).
cnf(refute_0_217,plain,
( e0 != e0
| e2 != op(e0,e1)
| e4 != op(e1,e2)
| op(e1,e2) = e0
| op(e1,e2) = e3 ),
inference(resolve,[$cnf( $equal(e0,op(e1,e3)) )],[refute_0_216,refute_0_158]) ).
cnf(refute_0_218,plain,
( e2 != op(e0,e1)
| e4 != op(e1,e2)
| op(e1,e2) = e0
| op(e1,e2) = e3 ),
inference(resolve,[$cnf( $equal(e0,e0) )],[refute_0_149,refute_0_217]) ).
cnf(refute_0_219,plain,
( e4 != e4
| e4 != op(e1,e2)
| op(e1,e2) = e4 ),
introduced(tautology,[equality,[$cnf( $equal(e4,e4) ),[0],$fot(op(e1,e2))]]) ).
cnf(refute_0_220,plain,
( e4 != op(e1,e2)
| op(e1,e2) = e4 ),
inference(resolve,[$cnf( $equal(e4,e4) )],[refute_0_213,refute_0_219]) ).
cnf(refute_0_221,plain,
( op(e1,e2) != e0
| op(e1,e2) != e4
| e4 = e0 ),
introduced(tautology,[equality,[$cnf( $equal(op(e1,e2),e0) ),[0],$fot(e4)]]) ).
cnf(refute_0_222,plain,
( e4 != op(e1,e2)
| op(e1,e2) != e0
| e4 = e0 ),
inference(resolve,[$cnf( $equal(op(e1,e2),e4) )],[refute_0_220,refute_0_221]) ).
cnf(refute_0_223,plain,
( e2 != op(e0,e1)
| e4 != op(e1,e2)
| e4 = e0
| op(e1,e2) = e3 ),
inference(resolve,[$cnf( $equal(op(e1,e2),e0) )],[refute_0_218,refute_0_222]) ).
cnf(refute_0_224,plain,
( e4 != op(e1,e2)
| op(e1,e2) != e3
| e4 = e3 ),
inference(resolve,[$cnf( $equal(op(e1,e2),e4) )],[refute_0_220,refute_0_185]) ).
cnf(refute_0_225,plain,
( e2 != op(e0,e1)
| e4 != op(e1,e2)
| e4 = e0
| e4 = e3 ),
inference(resolve,[$cnf( $equal(op(e1,e2),e3) )],[refute_0_223,refute_0_224]) ).
cnf(refute_0_226,plain,
( e2 != op(e0,e1)
| e4 != op(e1,e2)
| e4 = e3 ),
inference(resolve,[$cnf( $equal(e4,e0) )],[refute_0_225,refute_0_88]) ).
cnf(refute_0_227,plain,
( e2 != op(e0,e1)
| e4 != op(e1,e2) ),
inference(resolve,[$cnf( $equal(e4,e3) )],[refute_0_226,refute_0_189]) ).
cnf(refute_0_228,plain,
op(e1,e0) != op(e1,e2),
inference(canonicalize,[],[normalize_0_48]) ).
cnf(refute_0_229,plain,
( op(e1,e2) != e0
| op(e1,op(e1,e2)) != e2
| op(e1,e0) = e2 ),
introduced(tautology,[equality,[$cnf( $equal(op(e1,op(e1,e2)),e2) ),[0,1],$fot(e0)]]) ).
cnf(refute_0_230,plain,
( op(e1,op(e1,e2)) != e2
| op(e1,e0) = e2
| op(e1,e2) = e3
| op(e1,e2) = e4 ),
inference(resolve,[$cnf( $equal(op(e1,e2),e0) )],[refute_0_209,refute_0_229]) ).
cnf(refute_0_231,plain,
( op(e1,e0) = e2
| op(e1,e2) = e3
| op(e1,e2) = e4 ),
inference(resolve,[$cnf( $equal(op(e1,op(e1,e2)),e2) )],[refute_0_35,refute_0_230]) ).
cnf(refute_0_232,plain,
( op(e1,e0) != e3
| op(e1,e2) != e3
| op(e1,e0) = op(e1,e2) ),
introduced(tautology,[equality,[$cnf( ~ $equal(op(e1,e0),op(e1,e2)) ),[1],$fot(e3)]]) ).
cnf(refute_0_233,plain,
( op(e1,e0) != e3
| op(e1,e0) = e2
| op(e1,e0) = op(e1,e2)
| op(e1,e2) = e4 ),
inference(resolve,[$cnf( $equal(op(e1,e2),e3) )],[refute_0_231,refute_0_232]) ).
cnf(refute_0_234,plain,
( op(e1,e0) != e3
| op(e1,e0) = e2
| op(e1,e2) = e4 ),
inference(resolve,[$cnf( $equal(op(e1,e0),op(e1,e2)) )],[refute_0_233,refute_0_228]) ).
cnf(refute_0_235,plain,
( op(e1,e0) != e2
| op(e1,e0) != e3
| e3 = e2 ),
introduced(tautology,[equality,[$cnf( $equal(op(e1,e0),e2) ),[0],$fot(e3)]]) ).
cnf(refute_0_236,plain,
( op(e1,e0) != e3
| e3 = e2
| op(e1,e2) = e4 ),
inference(resolve,[$cnf( $equal(op(e1,e0),e2) )],[refute_0_234,refute_0_235]) ).
cnf(refute_0_237,plain,
e2 != e3,
inference(canonicalize,[],[normalize_0_49]) ).
cnf(refute_0_238,plain,
( e3 != e2
| e2 = e3 ),
inference(subst,[],[refute_0_17:[bind(X,$fot(e3)),bind(Y,$fot(e2))]]) ).
cnf(refute_0_239,plain,
e3 != e2,
inference(resolve,[$cnf( $equal(e2,e3) )],[refute_0_238,refute_0_237]) ).
cnf(refute_0_240,plain,
( op(e1,e0) != e3
| op(e1,e2) = e4 ),
inference(resolve,[$cnf( $equal(e3,e2) )],[refute_0_236,refute_0_239]) ).
cnf(refute_0_241,plain,
( e0 != op(op(e1,e3),e1)
| e2 != op(e1,e3)
| e4 != op(e1,op(op(e1,e3),e1)) ),
inference(canonicalize,[],[normalize_0_50]) ).
cnf(refute_0_242,plain,
( e0 != e0
| e0 != op(op(e1,e3),e1)
| op(op(e1,e3),e1) = e0 ),
introduced(tautology,[equality,[$cnf( $equal(e0,e0) ),[0],$fot(op(op(e1,e3),e1))]]) ).
cnf(refute_0_243,plain,
( e0 != op(op(e1,e3),e1)
| op(op(e1,e3),e1) = e0 ),
inference(resolve,[$cnf( $equal(e0,e0) )],[refute_0_149,refute_0_242]) ).
cnf(refute_0_244,plain,
( op(e1,op(op(e1,e3),e1)) != op(e1,op(op(e1,e3),e1))
| op(op(e1,e3),e1) != e0
| op(e1,op(op(e1,e3),e1)) = op(e1,e0) ),
introduced(tautology,[equality,[$cnf( $equal(op(e1,op(op(e1,e3),e1)),op(e1,op(op(e1,e3),e1))) ),[1,1],$fot(e0)]]) ).
cnf(refute_0_245,plain,
( op(op(e1,e3),e1) != e0
| op(e1,op(op(e1,e3),e1)) = op(e1,e0) ),
inference(resolve,[$cnf( $equal(op(e1,op(op(e1,e3),e1)),op(e1,op(op(e1,e3),e1))) )],[refute_0_142,refute_0_244]) ).
cnf(refute_0_246,plain,
( e0 != op(op(e1,e3),e1)
| op(e1,op(op(e1,e3),e1)) = op(e1,e0) ),
inference(resolve,[$cnf( $equal(op(op(e1,e3),e1),e0) )],[refute_0_243,refute_0_245]) ).
cnf(refute_0_247,plain,
( e4 != op(e1,e0)
| op(e1,op(op(e1,e3),e1)) != op(e1,e0)
| e4 = op(e1,op(op(e1,e3),e1)) ),
introduced(tautology,[equality,[$cnf( ~ $equal(e4,op(e1,op(op(e1,e3),e1))) ),[1],$fot(op(e1,e0))]]) ).
cnf(refute_0_248,plain,
( e0 != op(op(e1,e3),e1)
| e4 != op(e1,e0)
| e4 = op(e1,op(op(e1,e3),e1)) ),
inference(resolve,[$cnf( $equal(op(e1,op(op(e1,e3),e1)),op(e1,e0)) )],[refute_0_246,refute_0_247]) ).
cnf(refute_0_249,plain,
( e0 != op(op(e1,e3),e1)
| e2 != op(e1,e3)
| e4 != op(e1,e0) ),
inference(resolve,[$cnf( $equal(e4,op(e1,op(op(e1,e3),e1))) )],[refute_0_248,refute_0_241]) ).
cnf(refute_0_250,plain,
( e2 != e2
| e2 != op(e1,e3)
| op(e1,e3) = e2 ),
introduced(tautology,[equality,[$cnf( $equal(e2,e2) ),[0],$fot(op(e1,e3))]]) ).
cnf(refute_0_251,plain,
( e2 != op(e1,e3)
| op(e1,e3) = e2 ),
inference(resolve,[$cnf( $equal(e2,e2) )],[refute_0_139,refute_0_250]) ).
cnf(refute_0_252,plain,
( op(e1,e3) != e2
| op(op(e1,e3),e1) != op(op(e1,e3),e1)
| op(op(e1,e3),e1) = op(e2,e1) ),
introduced(tautology,[equality,[$cnf( $equal(op(op(e1,e3),e1),op(op(e1,e3),e1)) ),[1,0],$fot(e2)]]) ).
cnf(refute_0_253,plain,
( op(e1,e3) != e2
| op(op(e1,e3),e1) = op(e2,e1) ),
inference(resolve,[$cnf( $equal(op(op(e1,e3),e1),op(op(e1,e3),e1)) )],[refute_0_152,refute_0_252]) ).
cnf(refute_0_254,plain,
( e2 != op(e1,e3)
| op(op(e1,e3),e1) = op(e2,e1) ),
inference(resolve,[$cnf( $equal(op(e1,e3),e2) )],[refute_0_251,refute_0_253]) ).
cnf(refute_0_255,plain,
( e0 != op(e2,e1)
| op(op(e1,e3),e1) != op(e2,e1)
| e0 = op(op(e1,e3),e1) ),
introduced(tautology,[equality,[$cnf( ~ $equal(e0,op(op(e1,e3),e1)) ),[1],$fot(op(e2,e1))]]) ).
cnf(refute_0_256,plain,
( e0 != op(e2,e1)
| e2 != op(e1,e3)
| e0 = op(op(e1,e3),e1) ),
inference(resolve,[$cnf( $equal(op(op(e1,e3),e1),op(e2,e1)) )],[refute_0_254,refute_0_255]) ).
cnf(refute_0_257,plain,
( e0 != op(e2,e1)
| e2 != op(e1,e3)
| e4 != op(e1,e0) ),
inference(resolve,[$cnf( $equal(e0,op(op(e1,e3),e1)) )],[refute_0_256,refute_0_249]) ).
cnf(refute_0_258,plain,
op(e2,op(e2,e0)) = e0,
inference(canonicalize,[],[normalize_0_51]) ).
cnf(refute_0_259,plain,
op(e1,e0) != op(e2,e0),
inference(canonicalize,[],[normalize_0_52]) ).
cnf(refute_0_260,plain,
op(op(e2,e3),op(e3,e2)) = e3,
inference(canonicalize,[],[normalize_0_53]) ).
cnf(refute_0_261,plain,
op(e2,e0) != op(e2,e2),
inference(canonicalize,[],[normalize_0_54]) ).
cnf(refute_0_262,plain,
op(op(e3,e2),op(e2,e3)) = e2,
inference(canonicalize,[],[normalize_0_55]) ).
cnf(refute_0_263,plain,
op(op(e4,e2),op(e2,e4)) = e2,
inference(canonicalize,[],[normalize_0_56]) ).
cnf(refute_0_264,plain,
( op(e0,e2) = e2
| op(e1,e2) = e2
| op(e2,e2) = e2
| op(e3,e2) = e2
| op(e4,e2) = e2 ),
inference(canonicalize,[],[normalize_0_57]) ).
cnf(refute_0_265,plain,
( op(e4,e2) != e2
| op(op(e4,e2),op(e2,e4)) != e2
| op(e2,op(e2,e4)) = e2 ),
introduced(tautology,[equality,[$cnf( $equal(op(op(e4,e2),op(e2,e4)),e2) ),[0,0],$fot(e2)]]) ).
cnf(refute_0_266,plain,
( op(op(e4,e2),op(e2,e4)) != e2
| op(e0,e2) = e2
| op(e1,e2) = e2
| op(e2,e2) = e2
| op(e2,op(e2,e4)) = e2
| op(e3,e2) = e2 ),
inference(resolve,[$cnf( $equal(op(e4,e2),e2) )],[refute_0_264,refute_0_265]) ).
cnf(refute_0_267,plain,
( op(e0,e2) = e2
| op(e1,e2) = e2
| op(e2,e2) = e2
| op(e2,op(e2,e4)) = e2
| op(e3,e2) = e2 ),
inference(resolve,[$cnf( $equal(op(op(e4,e2),op(e2,e4)),e2) )],[refute_0_263,refute_0_266]) ).
cnf(refute_0_268,plain,
op(e2,op(e2,e4)) = e4,
inference(canonicalize,[],[normalize_0_58]) ).
cnf(refute_0_269,plain,
( op(e2,op(e2,e4)) != e2
| op(e2,op(e2,e4)) != e4
| e4 = e2 ),
introduced(tautology,[equality,[$cnf( $equal(op(e2,op(e2,e4)),e2) ),[0],$fot(e4)]]) ).
cnf(refute_0_270,plain,
( op(e2,op(e2,e4)) != e2
| e4 = e2 ),
inference(resolve,[$cnf( $equal(op(e2,op(e2,e4)),e4) )],[refute_0_268,refute_0_269]) ).
cnf(refute_0_271,plain,
( e4 = e2
| op(e0,e2) = e2
| op(e1,e2) = e2
| op(e2,e2) = e2
| op(e3,e2) = e2 ),
inference(resolve,[$cnf( $equal(op(e2,op(e2,e4)),e2) )],[refute_0_267,refute_0_270]) ).
cnf(refute_0_272,plain,
e2 != e4,
inference(canonicalize,[],[normalize_0_59]) ).
cnf(refute_0_273,plain,
( e4 != e2
| e2 = e4 ),
inference(subst,[],[refute_0_17:[bind(X,$fot(e4)),bind(Y,$fot(e2))]]) ).
cnf(refute_0_274,plain,
e4 != e2,
inference(resolve,[$cnf( $equal(e2,e4) )],[refute_0_273,refute_0_272]) ).
cnf(refute_0_275,plain,
( op(e0,e2) = e2
| op(e1,e2) = e2
| op(e2,e2) = e2
| op(e3,e2) = e2 ),
inference(resolve,[$cnf( $equal(e4,e2) )],[refute_0_271,refute_0_274]) ).
cnf(refute_0_276,plain,
( op(e3,e2) != e2
| op(op(e3,e2),op(e2,e3)) != e2
| op(e2,op(e2,e3)) = e2 ),
introduced(tautology,[equality,[$cnf( $equal(op(op(e3,e2),op(e2,e3)),e2) ),[0,0],$fot(e2)]]) ).
cnf(refute_0_277,plain,
( op(op(e3,e2),op(e2,e3)) != e2
| op(e0,e2) = e2
| op(e1,e2) = e2
| op(e2,e2) = e2
| op(e2,op(e2,e3)) = e2 ),
inference(resolve,[$cnf( $equal(op(e3,e2),e2) )],[refute_0_275,refute_0_276]) ).
cnf(refute_0_278,plain,
( op(e0,e2) = e2
| op(e1,e2) = e2
| op(e2,e2) = e2
| op(e2,op(e2,e3)) = e2 ),
inference(resolve,[$cnf( $equal(op(op(e3,e2),op(e2,e3)),e2) )],[refute_0_262,refute_0_277]) ).
cnf(refute_0_279,plain,
op(e2,op(e2,e3)) = e3,
inference(canonicalize,[],[normalize_0_60]) ).
cnf(refute_0_280,plain,
( op(e2,op(e2,e3)) != e2
| op(e2,op(e2,e3)) != e3
| e3 = e2 ),
introduced(tautology,[equality,[$cnf( $equal(op(e2,op(e2,e3)),e2) ),[0],$fot(e3)]]) ).
cnf(refute_0_281,plain,
( op(e2,op(e2,e3)) != e2
| e3 = e2 ),
inference(resolve,[$cnf( $equal(op(e2,op(e2,e3)),e3) )],[refute_0_279,refute_0_280]) ).
cnf(refute_0_282,plain,
( e3 = e2
| op(e0,e2) = e2
| op(e1,e2) = e2
| op(e2,e2) = e2 ),
inference(resolve,[$cnf( $equal(op(e2,op(e2,e3)),e2) )],[refute_0_278,refute_0_281]) ).
cnf(refute_0_283,plain,
( op(e0,e2) = e2
| op(e1,e2) = e2
| op(e2,e2) = e2 ),
inference(resolve,[$cnf( $equal(e3,e2) )],[refute_0_282,refute_0_239]) ).
cnf(refute_0_284,plain,
( op(e1,e2) != e3
| op(e1,op(e1,e2)) != e2
| op(e1,e3) = e2 ),
introduced(tautology,[equality,[$cnf( $equal(op(e1,op(e1,e2)),e2) ),[0,1],$fot(e3)]]) ).
cnf(refute_0_285,plain,
( op(e1,op(e1,e2)) != e2
| op(e1,e2) = e0
| op(e1,e2) = e4
| op(e1,e3) = e2 ),
inference(resolve,[$cnf( $equal(op(e1,e2),e3) )],[refute_0_209,refute_0_284]) ).
cnf(refute_0_286,plain,
( op(e1,e2) = e0
| op(e1,e2) = e4
| op(e1,e3) = e2 ),
inference(resolve,[$cnf( $equal(op(e1,op(e1,e2)),e2) )],[refute_0_35,refute_0_285]) ).
cnf(refute_0_287,plain,
( op(e1,e2) != e2
| op(e1,e3) != e2
| op(e1,e2) = op(e1,e3) ),
introduced(tautology,[equality,[$cnf( ~ $equal(op(e1,e2),op(e1,e3)) ),[1],$fot(e2)]]) ).
cnf(refute_0_288,plain,
( op(e1,e2) != e2
| op(e1,e2) = e0
| op(e1,e2) = e4
| op(e1,e2) = op(e1,e3) ),
inference(resolve,[$cnf( $equal(op(e1,e3),e2) )],[refute_0_286,refute_0_287]) ).
cnf(refute_0_289,plain,
( op(e1,e2) != e2
| op(e1,e2) = e0
| op(e1,e2) = e4 ),
inference(resolve,[$cnf( $equal(op(e1,e2),op(e1,e3)) )],[refute_0_288,refute_0_159]) ).
cnf(refute_0_290,plain,
( op(e1,e2) != e0
| op(e1,e2) != e2
| e2 = e0 ),
introduced(tautology,[equality,[$cnf( $equal(op(e1,e2),e0) ),[0],$fot(e2)]]) ).
cnf(refute_0_291,plain,
( op(e1,e2) != e2
| e2 = e0
| op(e1,e2) = e4 ),
inference(resolve,[$cnf( $equal(op(e1,e2),e0) )],[refute_0_289,refute_0_290]) ).
cnf(refute_0_292,plain,
( op(e1,e2) != e2
| op(e1,e2) != e4
| e2 = e4 ),
introduced(tautology,[equality,[$cnf( $equal(op(e1,e2),e4) ),[0],$fot(e2)]]) ).
cnf(refute_0_293,plain,
( op(e1,e2) != e2
| e2 = e0
| e2 = e4 ),
inference(resolve,[$cnf( $equal(op(e1,e2),e4) )],[refute_0_291,refute_0_292]) ).
cnf(refute_0_294,plain,
( op(e1,e2) != e2
| e2 = e4 ),
inference(resolve,[$cnf( $equal(e2,e0) )],[refute_0_293,refute_0_110]) ).
cnf(refute_0_295,plain,
op(e1,e2) != e2,
inference(resolve,[$cnf( $equal(e2,e4) )],[refute_0_294,refute_0_272]) ).
cnf(refute_0_296,plain,
( op(e0,e2) = e2
| op(e2,e2) = e2 ),
inference(resolve,[$cnf( $equal(op(e1,e2),e2) )],[refute_0_283,refute_0_295]) ).
cnf(refute_0_297,plain,
( op(e2,e0) != e2
| op(e2,e2) != e2
| op(e2,e0) = op(e2,e2) ),
introduced(tautology,[equality,[$cnf( ~ $equal(op(e2,e0),op(e2,e2)) ),[1],$fot(e2)]]) ).
cnf(refute_0_298,plain,
( op(e2,e0) != e2
| op(e0,e2) = e2
| op(e2,e0) = op(e2,e2) ),
inference(resolve,[$cnf( $equal(op(e2,e2),e2) )],[refute_0_296,refute_0_297]) ).
cnf(refute_0_299,plain,
( op(e2,e0) != e2
| op(e0,e2) = e2 ),
inference(resolve,[$cnf( $equal(op(e2,e0),op(e2,e2)) )],[refute_0_298,refute_0_261]) ).
cnf(refute_0_300,plain,
( op(e2,e0) = e0
| op(e2,e0) = e1
| op(e2,e0) = e2
| op(e2,e0) = e3
| op(e2,e0) = e4 ),
inference(canonicalize,[],[normalize_0_61]) ).
cnf(refute_0_301,plain,
op(e0,e0) != op(e2,e0),
inference(canonicalize,[],[normalize_0_62]) ).
cnf(refute_0_302,plain,
( e0 != op(e2,e0)
| op(e0,e0) != e0
| op(e0,e0) = op(e2,e0) ),
introduced(tautology,[equality,[$cnf( $equal(op(e0,e0),e0) ),[1],$fot(op(e2,e0))]]) ).
cnf(refute_0_303,plain,
( e0 != op(e2,e0)
| op(e0,e0) = op(e2,e0) ),
inference(resolve,[$cnf( $equal(op(e0,e0),e0) )],[refute_0_115,refute_0_302]) ).
cnf(refute_0_304,plain,
e0 != op(e2,e0),
inference(resolve,[$cnf( $equal(op(e0,e0),op(e2,e0)) )],[refute_0_303,refute_0_301]) ).
cnf(refute_0_305,plain,
( op(e2,e0) != e0
| e0 = op(e2,e0) ),
inference(subst,[],[refute_0_17:[bind(X,$fot(op(e2,e0))),bind(Y,$fot(e0))]]) ).
cnf(refute_0_306,plain,
op(e2,e0) != e0,
inference(resolve,[$cnf( $equal(e0,op(e2,e0)) )],[refute_0_305,refute_0_304]) ).
cnf(refute_0_307,plain,
( op(e2,e0) = e1
| op(e2,e0) = e2
| op(e2,e0) = e3
| op(e2,e0) = e4 ),
inference(resolve,[$cnf( $equal(op(e2,e0),e0) )],[refute_0_300,refute_0_306]) ).
cnf(refute_0_308,plain,
( e2 != e2
| op(e2,e0) != e2
| op(e2,e0) = e2 ),
introduced(tautology,[equality,[$cnf( $equal(op(e2,e0),e2) ),[0,0],$fot(e2)]]) ).
cnf(refute_0_309,plain,
( e2 != e2
| op(e2,e0) = e1
| op(e2,e0) = e2
| op(e2,e0) = e3
| op(e2,e0) = e4 ),
inference(resolve,[$cnf( $equal(op(e2,e0),e2) )],[refute_0_307,refute_0_308]) ).
cnf(refute_0_310,plain,
( e2 != e2
| op(e0,e2) = e2
| op(e2,e0) = e1
| op(e2,e0) = e3
| op(e2,e0) = e4 ),
inference(resolve,[$cnf( $equal(op(e2,e0),e2) )],[refute_0_309,refute_0_299]) ).
cnf(refute_0_311,plain,
( op(e0,e2) = e2
| op(e2,e0) = e1
| op(e2,e0) = e3
| op(e2,e0) = e4 ),
inference(resolve,[$cnf( $equal(e2,e2) )],[refute_0_139,refute_0_310]) ).
cnf(refute_0_312,plain,
op(e0,e2) != op(e0,e3),
inference(canonicalize,[],[normalize_0_63]) ).
cnf(refute_0_313,plain,
( op(e0,e2) = e0
| op(e0,e2) = e1
| op(e0,e2) = e2
| op(e0,e2) = e3
| op(e0,e2) = e4 ),
inference(canonicalize,[],[normalize_0_64]) ).
cnf(refute_0_314,plain,
op(e0,e0) != op(e0,e2),
inference(canonicalize,[],[normalize_0_65]) ).
cnf(refute_0_315,plain,
( e0 != op(e0,e2)
| op(e0,e0) != e0
| op(e0,e0) = op(e0,e2) ),
introduced(tautology,[equality,[$cnf( $equal(op(e0,e0),e0) ),[1],$fot(op(e0,e2))]]) ).
cnf(refute_0_316,plain,
( e0 != op(e0,e2)
| op(e0,e0) = op(e0,e2) ),
inference(resolve,[$cnf( $equal(op(e0,e0),e0) )],[refute_0_115,refute_0_315]) ).
cnf(refute_0_317,plain,
e0 != op(e0,e2),
inference(resolve,[$cnf( $equal(op(e0,e0),op(e0,e2)) )],[refute_0_316,refute_0_314]) ).
cnf(refute_0_318,plain,
( op(e0,e2) != e0
| e0 = op(e0,e2) ),
inference(subst,[],[refute_0_17:[bind(X,$fot(op(e0,e2))),bind(Y,$fot(e0))]]) ).
cnf(refute_0_319,plain,
op(e0,e2) != e0,
inference(resolve,[$cnf( $equal(e0,op(e0,e2)) )],[refute_0_318,refute_0_317]) ).
cnf(refute_0_320,plain,
( op(e0,e2) = e1
| op(e0,e2) = e2
| op(e0,e2) = e3
| op(e0,e2) = e4 ),
inference(resolve,[$cnf( $equal(op(e0,e2),e0) )],[refute_0_313,refute_0_319]) ).
cnf(refute_0_321,plain,
( op(e0,e2) != e2
| op(op(e0,e2),op(e2,e0)) != e2
| op(e2,op(e2,e0)) = e2 ),
introduced(tautology,[equality,[$cnf( $equal(op(op(e0,e2),op(e2,e0)),e2) ),[0,0],$fot(e2)]]) ).
cnf(refute_0_322,plain,
( op(op(e0,e2),op(e2,e0)) != e2
| op(e0,e2) = e1
| op(e0,e2) = e3
| op(e0,e2) = e4
| op(e2,op(e2,e0)) = e2 ),
inference(resolve,[$cnf( $equal(op(e0,e2),e2) )],[refute_0_320,refute_0_321]) ).
cnf(refute_0_323,plain,
( op(e0,e2) = e1
| op(e0,e2) = e3
| op(e0,e2) = e4
| op(e2,op(e2,e0)) = e2 ),
inference(resolve,[$cnf( $equal(op(op(e0,e2),op(e2,e0)),e2) )],[refute_0_0,refute_0_322]) ).
cnf(refute_0_324,plain,
( op(e2,op(e2,e0)) != e0
| op(e2,op(e2,e0)) != e2
| e0 = e2 ),
introduced(tautology,[equality,[$cnf( $equal(op(e2,op(e2,e0)),e2) ),[0],$fot(e0)]]) ).
cnf(refute_0_325,plain,
( op(e2,op(e2,e0)) != e2
| e0 = e2 ),
inference(resolve,[$cnf( $equal(op(e2,op(e2,e0)),e0) )],[refute_0_258,refute_0_324]) ).
cnf(refute_0_326,plain,
( e0 = e2
| op(e0,e2) = e1
| op(e0,e2) = e3
| op(e0,e2) = e4 ),
inference(resolve,[$cnf( $equal(op(e2,op(e2,e0)),e2) )],[refute_0_323,refute_0_325]) ).
cnf(refute_0_327,plain,
( op(e0,e2) = e1
| op(e0,e2) = e3
| op(e0,e2) = e4 ),
inference(resolve,[$cnf( $equal(e0,e2) )],[refute_0_326,refute_0_108]) ).
cnf(refute_0_328,plain,
( op(e0,e2) != e3
| op(e0,op(e0,e2)) != e2
| op(e0,e3) = e2 ),
introduced(tautology,[equality,[$cnf( $equal(op(e0,op(e0,e2)),e2) ),[0,1],$fot(e3)]]) ).
cnf(refute_0_329,plain,
( op(e0,op(e0,e2)) != e2
| op(e0,e2) = e1
| op(e0,e2) = e4
| op(e0,e3) = e2 ),
inference(resolve,[$cnf( $equal(op(e0,e2),e3) )],[refute_0_327,refute_0_328]) ).
cnf(refute_0_330,plain,
( op(e0,e2) = e1
| op(e0,e2) = e4
| op(e0,e3) = e2 ),
inference(resolve,[$cnf( $equal(op(e0,op(e0,e2)),e2) )],[refute_0_104,refute_0_329]) ).
cnf(refute_0_331,plain,
( op(e0,e2) != e2
| op(e0,e3) != e2
| op(e0,e2) = op(e0,e3) ),
introduced(tautology,[equality,[$cnf( ~ $equal(op(e0,e2),op(e0,e3)) ),[1],$fot(e2)]]) ).
cnf(refute_0_332,plain,
( op(e0,e2) != e2
| op(e0,e2) = e1
| op(e0,e2) = e4
| op(e0,e2) = op(e0,e3) ),
inference(resolve,[$cnf( $equal(op(e0,e3),e2) )],[refute_0_330,refute_0_331]) ).
cnf(refute_0_333,plain,
( op(e0,e2) != e2
| op(e0,e2) = e1
| op(e0,e2) = e4 ),
inference(resolve,[$cnf( $equal(op(e0,e2),op(e0,e3)) )],[refute_0_332,refute_0_312]) ).
cnf(refute_0_334,plain,
( op(e0,e2) != e1
| op(e0,e2) != e2
| e2 = e1 ),
introduced(tautology,[equality,[$cnf( $equal(op(e0,e2),e1) ),[0],$fot(e2)]]) ).
cnf(refute_0_335,plain,
( op(e0,e2) != e2
| e2 = e1
| op(e0,e2) = e4 ),
inference(resolve,[$cnf( $equal(op(e0,e2),e1) )],[refute_0_333,refute_0_334]) ).
cnf(refute_0_336,plain,
( op(e0,e2) != e2
| op(e0,e2) != e4
| e2 = e4 ),
introduced(tautology,[equality,[$cnf( $equal(op(e0,e2),e4) ),[0],$fot(e2)]]) ).
cnf(refute_0_337,plain,
( op(e0,e2) != e2
| e2 = e1
| e2 = e4 ),
inference(resolve,[$cnf( $equal(op(e0,e2),e4) )],[refute_0_335,refute_0_336]) ).
cnf(refute_0_338,plain,
( op(e0,e2) != e2
| e2 = e4 ),
inference(resolve,[$cnf( $equal(e2,e1) )],[refute_0_337,refute_0_41]) ).
cnf(refute_0_339,plain,
op(e0,e2) != e2,
inference(resolve,[$cnf( $equal(e2,e4) )],[refute_0_338,refute_0_272]) ).
cnf(refute_0_340,plain,
( op(e2,e0) = e1
| op(e2,e0) = e3
| op(e2,e0) = e4 ),
inference(resolve,[$cnf( $equal(op(e0,e2),e2) )],[refute_0_311,refute_0_339]) ).
cnf(refute_0_341,plain,
( op(e2,e0) != e3
| op(e2,op(e2,e0)) != e0
| op(e2,e3) = e0 ),
introduced(tautology,[equality,[$cnf( $equal(op(e2,op(e2,e0)),e0) ),[0,1],$fot(e3)]]) ).
cnf(refute_0_342,plain,
( op(e2,op(e2,e0)) != e0
| op(e2,e0) = e1
| op(e2,e0) = e4
| op(e2,e3) = e0 ),
inference(resolve,[$cnf( $equal(op(e2,e0),e3) )],[refute_0_340,refute_0_341]) ).
cnf(refute_0_343,plain,
( op(e2,e0) = e1
| op(e2,e0) = e4
| op(e2,e3) = e0 ),
inference(resolve,[$cnf( $equal(op(e2,op(e2,e0)),e0) )],[refute_0_258,refute_0_342]) ).
cnf(refute_0_344,plain,
( op(e2,e3) != e0
| op(op(e2,e3),op(e3,e2)) != e3
| op(e0,op(e3,e2)) = e3 ),
introduced(tautology,[equality,[$cnf( $equal(op(op(e2,e3),op(e3,e2)),e3) ),[0,0],$fot(e0)]]) ).
cnf(refute_0_345,plain,
( op(op(e2,e3),op(e3,e2)) != e3
| op(e0,op(e3,e2)) = e3
| op(e2,e0) = e1
| op(e2,e0) = e4 ),
inference(resolve,[$cnf( $equal(op(e2,e3),e0) )],[refute_0_343,refute_0_344]) ).
cnf(refute_0_346,plain,
( op(e0,op(e3,e2)) = e3
| op(e2,e0) = e1
| op(e2,e0) = e4 ),
inference(resolve,[$cnf( $equal(op(op(e2,e3),op(e3,e2)),e3) )],[refute_0_260,refute_0_345]) ).
cnf(refute_0_347,plain,
op(e3,op(e3,e0)) = e0,
inference(canonicalize,[],[normalize_0_66]) ).
cnf(refute_0_348,plain,
( e0 != op(op(e3,e4),e3)
| e1 != op(e3,op(op(e3,e4),e3))
| e2 != op(e3,e4) ),
inference(canonicalize,[],[normalize_0_67]) ).
cnf(refute_0_349,plain,
( e0 != e0
| e0 != op(op(e3,e4),e3)
| op(op(e3,e4),e3) = e0 ),
introduced(tautology,[equality,[$cnf( $equal(e0,e0) ),[0],$fot(op(op(e3,e4),e3))]]) ).
cnf(refute_0_350,plain,
( e0 != op(op(e3,e4),e3)
| op(op(e3,e4),e3) = e0 ),
inference(resolve,[$cnf( $equal(e0,e0) )],[refute_0_149,refute_0_349]) ).
cnf(refute_0_351,plain,
op(e3,op(op(e3,e4),e3)) = op(e3,op(op(e3,e4),e3)),
introduced(tautology,[refl,[$fot(op(e3,op(op(e3,e4),e3)))]]) ).
cnf(refute_0_352,plain,
( op(e3,op(op(e3,e4),e3)) != op(e3,op(op(e3,e4),e3))
| op(op(e3,e4),e3) != e0
| op(e3,op(op(e3,e4),e3)) = op(e3,e0) ),
introduced(tautology,[equality,[$cnf( $equal(op(e3,op(op(e3,e4),e3)),op(e3,op(op(e3,e4),e3))) ),[1,1],$fot(e0)]]) ).
cnf(refute_0_353,plain,
( op(op(e3,e4),e3) != e0
| op(e3,op(op(e3,e4),e3)) = op(e3,e0) ),
inference(resolve,[$cnf( $equal(op(e3,op(op(e3,e4),e3)),op(e3,op(op(e3,e4),e3))) )],[refute_0_351,refute_0_352]) ).
cnf(refute_0_354,plain,
( e0 != op(op(e3,e4),e3)
| op(e3,op(op(e3,e4),e3)) = op(e3,e0) ),
inference(resolve,[$cnf( $equal(op(op(e3,e4),e3),e0) )],[refute_0_350,refute_0_353]) ).
cnf(refute_0_355,plain,
( e1 != op(e3,e0)
| op(e3,op(op(e3,e4),e3)) != op(e3,e0)
| e1 = op(e3,op(op(e3,e4),e3)) ),
introduced(tautology,[equality,[$cnf( ~ $equal(e1,op(e3,op(op(e3,e4),e3))) ),[1],$fot(op(e3,e0))]]) ).
cnf(refute_0_356,plain,
( e0 != op(op(e3,e4),e3)
| e1 != op(e3,e0)
| e1 = op(e3,op(op(e3,e4),e3)) ),
inference(resolve,[$cnf( $equal(op(e3,op(op(e3,e4),e3)),op(e3,e0)) )],[refute_0_354,refute_0_355]) ).
cnf(refute_0_357,plain,
( e0 != op(op(e3,e4),e3)
| e1 != op(e3,e0)
| e2 != op(e3,e4) ),
inference(resolve,[$cnf( $equal(e1,op(e3,op(op(e3,e4),e3))) )],[refute_0_356,refute_0_348]) ).
cnf(refute_0_358,plain,
( e2 != e2
| e2 != op(e3,e4)
| op(e3,e4) = e2 ),
introduced(tautology,[equality,[$cnf( $equal(e2,e2) ),[0],$fot(op(e3,e4))]]) ).
cnf(refute_0_359,plain,
( e2 != op(e3,e4)
| op(e3,e4) = e2 ),
inference(resolve,[$cnf( $equal(e2,e2) )],[refute_0_139,refute_0_358]) ).
cnf(refute_0_360,plain,
op(op(e3,e4),e3) = op(op(e3,e4),e3),
introduced(tautology,[refl,[$fot(op(op(e3,e4),e3))]]) ).
cnf(refute_0_361,plain,
( op(e3,e4) != e2
| op(op(e3,e4),e3) != op(op(e3,e4),e3)
| op(op(e3,e4),e3) = op(e2,e3) ),
introduced(tautology,[equality,[$cnf( $equal(op(op(e3,e4),e3),op(op(e3,e4),e3)) ),[1,0],$fot(e2)]]) ).
cnf(refute_0_362,plain,
( op(e3,e4) != e2
| op(op(e3,e4),e3) = op(e2,e3) ),
inference(resolve,[$cnf( $equal(op(op(e3,e4),e3),op(op(e3,e4),e3)) )],[refute_0_360,refute_0_361]) ).
cnf(refute_0_363,plain,
( e2 != op(e3,e4)
| op(op(e3,e4),e3) = op(e2,e3) ),
inference(resolve,[$cnf( $equal(op(e3,e4),e2) )],[refute_0_359,refute_0_362]) ).
cnf(refute_0_364,plain,
( e0 != op(e2,e3)
| op(op(e3,e4),e3) != op(e2,e3)
| e0 = op(op(e3,e4),e3) ),
introduced(tautology,[equality,[$cnf( ~ $equal(e0,op(op(e3,e4),e3)) ),[1],$fot(op(e2,e3))]]) ).
cnf(refute_0_365,plain,
( e0 != op(e2,e3)
| e2 != op(e3,e4)
| e0 = op(op(e3,e4),e3) ),
inference(resolve,[$cnf( $equal(op(op(e3,e4),e3),op(e2,e3)) )],[refute_0_363,refute_0_364]) ).
cnf(refute_0_366,plain,
( e0 != op(e2,e3)
| e1 != op(e3,e0)
| e2 != op(e3,e4) ),
inference(resolve,[$cnf( $equal(e0,op(op(e3,e4),e3)) )],[refute_0_365,refute_0_357]) ).
cnf(refute_0_367,plain,
op(e3,op(e3,e2)) = e2,
inference(canonicalize,[],[normalize_0_68]) ).
cnf(refute_0_368,plain,
op(e3,e0) != op(e3,e2),
inference(canonicalize,[],[normalize_0_69]) ).
cnf(refute_0_369,plain,
op(e3,e0) != op(e3,e3),
inference(canonicalize,[],[normalize_0_70]) ).
cnf(refute_0_370,plain,
op(op(e4,e3),op(e3,e4)) = e3,
inference(canonicalize,[],[normalize_0_71]) ).
cnf(refute_0_371,plain,
( op(e0,e3) = e3
| op(e1,e3) = e3
| op(e2,e3) = e3
| op(e3,e3) = e3
| op(e4,e3) = e3 ),
inference(canonicalize,[],[normalize_0_72]) ).
cnf(refute_0_372,plain,
( op(e4,e3) != e3
| op(op(e4,e3),op(e3,e4)) != e3
| op(e3,op(e3,e4)) = e3 ),
introduced(tautology,[equality,[$cnf( $equal(op(op(e4,e3),op(e3,e4)),e3) ),[0,0],$fot(e3)]]) ).
cnf(refute_0_373,plain,
( op(op(e4,e3),op(e3,e4)) != e3
| op(e0,e3) = e3
| op(e1,e3) = e3
| op(e2,e3) = e3
| op(e3,e3) = e3
| op(e3,op(e3,e4)) = e3 ),
inference(resolve,[$cnf( $equal(op(e4,e3),e3) )],[refute_0_371,refute_0_372]) ).
cnf(refute_0_374,plain,
( op(e0,e3) = e3
| op(e1,e3) = e3
| op(e2,e3) = e3
| op(e3,e3) = e3
| op(e3,op(e3,e4)) = e3 ),
inference(resolve,[$cnf( $equal(op(op(e4,e3),op(e3,e4)),e3) )],[refute_0_370,refute_0_373]) ).
cnf(refute_0_375,plain,
op(e3,op(e3,e4)) = e4,
inference(canonicalize,[],[normalize_0_73]) ).
cnf(refute_0_376,plain,
( op(e3,op(e3,e4)) != e3
| op(e3,op(e3,e4)) != e4
| e4 = e3 ),
introduced(tautology,[equality,[$cnf( $equal(op(e3,op(e3,e4)),e3) ),[0],$fot(e4)]]) ).
cnf(refute_0_377,plain,
( op(e3,op(e3,e4)) != e3
| e4 = e3 ),
inference(resolve,[$cnf( $equal(op(e3,op(e3,e4)),e4) )],[refute_0_375,refute_0_376]) ).
cnf(refute_0_378,plain,
( e4 = e3
| op(e0,e3) = e3
| op(e1,e3) = e3
| op(e2,e3) = e3
| op(e3,e3) = e3 ),
inference(resolve,[$cnf( $equal(op(e3,op(e3,e4)),e3) )],[refute_0_374,refute_0_377]) ).
cnf(refute_0_379,plain,
( op(e0,e3) = e3
| op(e1,e3) = e3
| op(e2,e3) = e3
| op(e3,e3) = e3 ),
inference(resolve,[$cnf( $equal(e4,e3) )],[refute_0_378,refute_0_189]) ).
cnf(refute_0_380,plain,
op(e1,e3) != op(e1,e4),
inference(canonicalize,[],[normalize_0_74]) ).
cnf(refute_0_381,plain,
( op(e1,e3) != e4
| op(e1,op(e1,e3)) != e3
| op(e1,e4) = e3 ),
introduced(tautology,[equality,[$cnf( $equal(op(e1,op(e1,e3)),e3) ),[0,1],$fot(e4)]]) ).
cnf(refute_0_382,plain,
( op(e1,op(e1,e3)) != e3
| op(e1,e3) = e0
| op(e1,e3) = e2
| op(e1,e4) = e3 ),
inference(resolve,[$cnf( $equal(op(e1,e3),e4) )],[refute_0_178,refute_0_381]) ).
cnf(refute_0_383,plain,
( op(e1,e3) = e0
| op(e1,e3) = e2
| op(e1,e4) = e3 ),
inference(resolve,[$cnf( $equal(op(e1,op(e1,e3)),e3) )],[refute_0_24,refute_0_382]) ).
cnf(refute_0_384,plain,
( op(e1,e3) != e3
| op(e1,e4) != e3
| op(e1,e3) = op(e1,e4) ),
introduced(tautology,[equality,[$cnf( ~ $equal(op(e1,e3),op(e1,e4)) ),[1],$fot(e3)]]) ).
cnf(refute_0_385,plain,
( op(e1,e3) != e3
| op(e1,e3) = e0
| op(e1,e3) = e2
| op(e1,e3) = op(e1,e4) ),
inference(resolve,[$cnf( $equal(op(e1,e4),e3) )],[refute_0_383,refute_0_384]) ).
cnf(refute_0_386,plain,
( op(e1,e3) != e3
| op(e1,e3) = e0
| op(e1,e3) = e2 ),
inference(resolve,[$cnf( $equal(op(e1,e3),op(e1,e4)) )],[refute_0_385,refute_0_380]) ).
cnf(refute_0_387,plain,
( op(e1,e3) != e0
| op(e1,e3) != e3
| e3 = e0 ),
introduced(tautology,[equality,[$cnf( $equal(op(e1,e3),e0) ),[0],$fot(e3)]]) ).
cnf(refute_0_388,plain,
( op(e1,e3) != e3
| e3 = e0
| op(e1,e3) = e2 ),
inference(resolve,[$cnf( $equal(op(e1,e3),e0) )],[refute_0_386,refute_0_387]) ).
cnf(refute_0_389,plain,
( op(e1,e3) != e2
| op(e1,e3) != e3
| e3 = e2 ),
introduced(tautology,[equality,[$cnf( $equal(op(e1,e3),e2) ),[0],$fot(e3)]]) ).
cnf(refute_0_390,plain,
( op(e1,e3) != e3
| e3 = e0
| e3 = e2 ),
inference(resolve,[$cnf( $equal(op(e1,e3),e2) )],[refute_0_388,refute_0_389]) ).
cnf(refute_0_391,plain,
( op(e1,e3) != e3
| e3 = e2 ),
inference(resolve,[$cnf( $equal(e3,e0) )],[refute_0_390,refute_0_99]) ).
cnf(refute_0_392,plain,
op(e1,e3) != e3,
inference(resolve,[$cnf( $equal(e3,e2) )],[refute_0_391,refute_0_239]) ).
cnf(refute_0_393,plain,
( op(e0,e3) = e3
| op(e2,e3) = e3
| op(e3,e3) = e3 ),
inference(resolve,[$cnf( $equal(op(e1,e3),e3) )],[refute_0_379,refute_0_392]) ).
cnf(refute_0_394,plain,
( op(e3,e0) != e3
| op(e3,e3) != e3
| op(e3,e0) = op(e3,e3) ),
introduced(tautology,[equality,[$cnf( ~ $equal(op(e3,e0),op(e3,e3)) ),[1],$fot(e3)]]) ).
cnf(refute_0_395,plain,
( op(e3,e0) != e3
| op(e0,e3) = e3
| op(e2,e3) = e3
| op(e3,e0) = op(e3,e3) ),
inference(resolve,[$cnf( $equal(op(e3,e3),e3) )],[refute_0_393,refute_0_394]) ).
cnf(refute_0_396,plain,
( op(e3,e0) != e3
| op(e0,e3) = e3
| op(e2,e3) = e3 ),
inference(resolve,[$cnf( $equal(op(e3,e0),op(e3,e3)) )],[refute_0_395,refute_0_369]) ).
cnf(refute_0_397,plain,
( op(e3,e0) = e0
| op(e3,e0) = e1
| op(e3,e0) = e2
| op(e3,e0) = e3
| op(e3,e0) = e4 ),
inference(canonicalize,[],[normalize_0_75]) ).
cnf(refute_0_398,plain,
op(e0,e0) != op(e3,e0),
inference(canonicalize,[],[normalize_0_76]) ).
cnf(refute_0_399,plain,
( e0 != op(e3,e0)
| op(e0,e0) != e0
| op(e0,e0) = op(e3,e0) ),
introduced(tautology,[equality,[$cnf( $equal(op(e0,e0),e0) ),[1],$fot(op(e3,e0))]]) ).
cnf(refute_0_400,plain,
( e0 != op(e3,e0)
| op(e0,e0) = op(e3,e0) ),
inference(resolve,[$cnf( $equal(op(e0,e0),e0) )],[refute_0_115,refute_0_399]) ).
cnf(refute_0_401,plain,
e0 != op(e3,e0),
inference(resolve,[$cnf( $equal(op(e0,e0),op(e3,e0)) )],[refute_0_400,refute_0_398]) ).
cnf(refute_0_402,plain,
( op(e3,e0) != e0
| e0 = op(e3,e0) ),
inference(subst,[],[refute_0_17:[bind(X,$fot(op(e3,e0))),bind(Y,$fot(e0))]]) ).
cnf(refute_0_403,plain,
op(e3,e0) != e0,
inference(resolve,[$cnf( $equal(e0,op(e3,e0)) )],[refute_0_402,refute_0_401]) ).
cnf(refute_0_404,plain,
( op(e3,e0) = e1
| op(e3,e0) = e2
| op(e3,e0) = e3
| op(e3,e0) = e4 ),
inference(resolve,[$cnf( $equal(op(e3,e0),e0) )],[refute_0_397,refute_0_403]) ).
cnf(refute_0_405,plain,
( e3 != e3
| op(e3,e0) != e3
| op(e3,e0) = e3 ),
introduced(tautology,[equality,[$cnf( $equal(op(e3,e0),e3) ),[0,0],$fot(e3)]]) ).
cnf(refute_0_406,plain,
( e3 != e3
| op(e3,e0) = e1
| op(e3,e0) = e2
| op(e3,e0) = e3
| op(e3,e0) = e4 ),
inference(resolve,[$cnf( $equal(op(e3,e0),e3) )],[refute_0_404,refute_0_405]) ).
cnf(refute_0_407,plain,
( e3 != e3
| op(e0,e3) = e3
| op(e2,e3) = e3
| op(e3,e0) = e1
| op(e3,e0) = e2
| op(e3,e0) = e4 ),
inference(resolve,[$cnf( $equal(op(e3,e0),e3) )],[refute_0_406,refute_0_396]) ).
cnf(refute_0_408,plain,
e3 = e3,
introduced(tautology,[refl,[$fot(e3)]]) ).
cnf(refute_0_409,plain,
( op(e0,e3) = e3
| op(e2,e3) = e3
| op(e3,e0) = e1
| op(e3,e0) = e2
| op(e3,e0) = e4 ),
inference(resolve,[$cnf( $equal(e3,e3) )],[refute_0_408,refute_0_407]) ).
cnf(refute_0_410,plain,
op(e0,e3) != op(e0,e4),
inference(canonicalize,[],[normalize_0_77]) ).
cnf(refute_0_411,plain,
op(op(e0,e3),op(e3,e0)) = e3,
inference(canonicalize,[],[normalize_0_78]) ).
cnf(refute_0_412,plain,
( op(e0,e3) = e0
| op(e0,e3) = e1
| op(e0,e3) = e2
| op(e0,e3) = e3
| op(e0,e3) = e4 ),
inference(canonicalize,[],[normalize_0_79]) ).
cnf(refute_0_413,plain,
op(e0,e0) != op(e0,e3),
inference(canonicalize,[],[normalize_0_80]) ).
cnf(refute_0_414,plain,
( e0 != op(e0,e3)
| op(e0,e0) != e0
| op(e0,e0) = op(e0,e3) ),
introduced(tautology,[equality,[$cnf( $equal(op(e0,e0),e0) ),[1],$fot(op(e0,e3))]]) ).
cnf(refute_0_415,plain,
( e0 != op(e0,e3)
| op(e0,e0) = op(e0,e3) ),
inference(resolve,[$cnf( $equal(op(e0,e0),e0) )],[refute_0_115,refute_0_414]) ).
cnf(refute_0_416,plain,
e0 != op(e0,e3),
inference(resolve,[$cnf( $equal(op(e0,e0),op(e0,e3)) )],[refute_0_415,refute_0_413]) ).
cnf(refute_0_417,plain,
( op(e0,e3) != e0
| e0 = op(e0,e3) ),
inference(subst,[],[refute_0_17:[bind(X,$fot(op(e0,e3))),bind(Y,$fot(e0))]]) ).
cnf(refute_0_418,plain,
op(e0,e3) != e0,
inference(resolve,[$cnf( $equal(e0,op(e0,e3)) )],[refute_0_417,refute_0_416]) ).
cnf(refute_0_419,plain,
( op(e0,e3) = e1
| op(e0,e3) = e2
| op(e0,e3) = e3
| op(e0,e3) = e4 ),
inference(resolve,[$cnf( $equal(op(e0,e3),e0) )],[refute_0_412,refute_0_418]) ).
cnf(refute_0_420,plain,
( op(e0,e3) != e3
| op(op(e0,e3),op(e3,e0)) != e3
| op(e3,op(e3,e0)) = e3 ),
introduced(tautology,[equality,[$cnf( $equal(op(op(e0,e3),op(e3,e0)),e3) ),[0,0],$fot(e3)]]) ).
cnf(refute_0_421,plain,
( op(op(e0,e3),op(e3,e0)) != e3
| op(e0,e3) = e1
| op(e0,e3) = e2
| op(e0,e3) = e4
| op(e3,op(e3,e0)) = e3 ),
inference(resolve,[$cnf( $equal(op(e0,e3),e3) )],[refute_0_419,refute_0_420]) ).
cnf(refute_0_422,plain,
( op(e0,e3) = e1
| op(e0,e3) = e2
| op(e0,e3) = e4
| op(e3,op(e3,e0)) = e3 ),
inference(resolve,[$cnf( $equal(op(op(e0,e3),op(e3,e0)),e3) )],[refute_0_411,refute_0_421]) ).
cnf(refute_0_423,plain,
( op(e3,op(e3,e0)) != e0
| op(e3,op(e3,e0)) != e3
| e0 = e3 ),
introduced(tautology,[equality,[$cnf( $equal(op(e3,op(e3,e0)),e3) ),[0],$fot(e0)]]) ).
cnf(refute_0_424,plain,
( op(e3,op(e3,e0)) != e3
| e0 = e3 ),
inference(resolve,[$cnf( $equal(op(e3,op(e3,e0)),e0) )],[refute_0_347,refute_0_423]) ).
cnf(refute_0_425,plain,
( e0 = e3
| op(e0,e3) = e1
| op(e0,e3) = e2
| op(e0,e3) = e4 ),
inference(resolve,[$cnf( $equal(op(e3,op(e3,e0)),e3) )],[refute_0_422,refute_0_424]) ).
cnf(refute_0_426,plain,
( op(e0,e3) = e1
| op(e0,e3) = e2
| op(e0,e3) = e4 ),
inference(resolve,[$cnf( $equal(e0,e3) )],[refute_0_425,refute_0_97]) ).
cnf(refute_0_427,plain,
( op(e0,e3) != e4
| op(e0,op(e0,e3)) != e3
| op(e0,e4) = e3 ),
introduced(tautology,[equality,[$cnf( $equal(op(e0,op(e0,e3)),e3) ),[0,1],$fot(e4)]]) ).
cnf(refute_0_428,plain,
( op(e0,op(e0,e3)) != e3
| op(e0,e3) = e1
| op(e0,e3) = e2
| op(e0,e4) = e3 ),
inference(resolve,[$cnf( $equal(op(e0,e3),e4) )],[refute_0_426,refute_0_427]) ).
cnf(refute_0_429,plain,
( op(e0,e3) = e1
| op(e0,e3) = e2
| op(e0,e4) = e3 ),
inference(resolve,[$cnf( $equal(op(e0,op(e0,e3)),e3) )],[refute_0_93,refute_0_428]) ).
cnf(refute_0_430,plain,
( op(e0,e3) != e3
| op(e0,e4) != e3
| op(e0,e3) = op(e0,e4) ),
introduced(tautology,[equality,[$cnf( ~ $equal(op(e0,e3),op(e0,e4)) ),[1],$fot(e3)]]) ).
cnf(refute_0_431,plain,
( op(e0,e3) != e3
| op(e0,e3) = e1
| op(e0,e3) = e2
| op(e0,e3) = op(e0,e4) ),
inference(resolve,[$cnf( $equal(op(e0,e4),e3) )],[refute_0_429,refute_0_430]) ).
cnf(refute_0_432,plain,
( op(e0,e3) != e3
| op(e0,e3) = e1
| op(e0,e3) = e2 ),
inference(resolve,[$cnf( $equal(op(e0,e3),op(e0,e4)) )],[refute_0_431,refute_0_410]) ).
cnf(refute_0_433,plain,
( op(e0,e3) != e1
| op(e0,e3) != e3
| e3 = e1 ),
introduced(tautology,[equality,[$cnf( $equal(op(e0,e3),e1) ),[0],$fot(e3)]]) ).
cnf(refute_0_434,plain,
( op(e0,e3) != e3
| e3 = e1
| op(e0,e3) = e2 ),
inference(resolve,[$cnf( $equal(op(e0,e3),e1) )],[refute_0_432,refute_0_433]) ).
cnf(refute_0_435,plain,
( op(e0,e3) != e2
| op(e0,e3) != e3
| e3 = e2 ),
introduced(tautology,[equality,[$cnf( $equal(op(e0,e3),e2) ),[0],$fot(e3)]]) ).
cnf(refute_0_436,plain,
( op(e0,e3) != e3
| e3 = e1
| e3 = e2 ),
inference(resolve,[$cnf( $equal(op(e0,e3),e2) )],[refute_0_434,refute_0_435]) ).
cnf(refute_0_437,plain,
( op(e0,e3) != e3
| e3 = e2 ),
inference(resolve,[$cnf( $equal(e3,e1) )],[refute_0_436,refute_0_30]) ).
cnf(refute_0_438,plain,
op(e0,e3) != e3,
inference(resolve,[$cnf( $equal(e3,e2) )],[refute_0_437,refute_0_239]) ).
cnf(refute_0_439,plain,
( op(e2,e3) = e3
| op(e3,e0) = e1
| op(e3,e0) = e2
| op(e3,e0) = e4 ),
inference(resolve,[$cnf( $equal(op(e0,e3),e3) )],[refute_0_409,refute_0_438]) ).
cnf(refute_0_440,plain,
op(e2,e3) != op(e2,e4),
inference(canonicalize,[],[normalize_0_81]) ).
cnf(refute_0_441,plain,
( op(e2,e3) = e0
| op(e2,e3) = e1
| op(e2,e3) = e2
| op(e2,e3) = e3
| op(e2,e3) = e4 ),
inference(canonicalize,[],[normalize_0_82]) ).
cnf(refute_0_442,plain,
op(e2,e2) != op(e2,e3),
inference(canonicalize,[],[normalize_0_83]) ).
cnf(refute_0_443,plain,
op(e2,e2) = e2,
inference(resolve,[$cnf( $equal(op(e0,e2),e2) )],[refute_0_296,refute_0_339]) ).
cnf(refute_0_444,plain,
( e2 != op(e2,e3)
| op(e2,e2) != e2
| op(e2,e2) = op(e2,e3) ),
introduced(tautology,[equality,[$cnf( $equal(op(e2,e2),e2) ),[1],$fot(op(e2,e3))]]) ).
cnf(refute_0_445,plain,
( e2 != op(e2,e3)
| op(e2,e2) = op(e2,e3) ),
inference(resolve,[$cnf( $equal(op(e2,e2),e2) )],[refute_0_443,refute_0_444]) ).
cnf(refute_0_446,plain,
e2 != op(e2,e3),
inference(resolve,[$cnf( $equal(op(e2,e2),op(e2,e3)) )],[refute_0_445,refute_0_442]) ).
cnf(refute_0_447,plain,
( op(e2,e3) != e2
| e2 = op(e2,e3) ),
inference(subst,[],[refute_0_17:[bind(X,$fot(op(e2,e3))),bind(Y,$fot(e2))]]) ).
cnf(refute_0_448,plain,
op(e2,e3) != e2,
inference(resolve,[$cnf( $equal(e2,op(e2,e3)) )],[refute_0_447,refute_0_446]) ).
cnf(refute_0_449,plain,
( op(e2,e3) = e0
| op(e2,e3) = e1
| op(e2,e3) = e3
| op(e2,e3) = e4 ),
inference(resolve,[$cnf( $equal(op(e2,e3),e2) )],[refute_0_441,refute_0_448]) ).
cnf(refute_0_450,plain,
( op(e2,e3) != e3
| op(op(e2,e3),op(e3,e2)) != e3
| op(e3,op(e3,e2)) = e3 ),
introduced(tautology,[equality,[$cnf( $equal(op(op(e2,e3),op(e3,e2)),e3) ),[0,0],$fot(e3)]]) ).
cnf(refute_0_451,plain,
( op(op(e2,e3),op(e3,e2)) != e3
| op(e2,e3) = e0
| op(e2,e3) = e1
| op(e2,e3) = e4
| op(e3,op(e3,e2)) = e3 ),
inference(resolve,[$cnf( $equal(op(e2,e3),e3) )],[refute_0_449,refute_0_450]) ).
cnf(refute_0_452,plain,
( op(e2,e3) = e0
| op(e2,e3) = e1
| op(e2,e3) = e4
| op(e3,op(e3,e2)) = e3 ),
inference(resolve,[$cnf( $equal(op(op(e2,e3),op(e3,e2)),e3) )],[refute_0_260,refute_0_451]) ).
cnf(refute_0_453,plain,
( op(e3,op(e3,e2)) != e2
| op(e3,op(e3,e2)) != e3
| e2 = e3 ),
introduced(tautology,[equality,[$cnf( $equal(op(e3,op(e3,e2)),e3) ),[0],$fot(e2)]]) ).
cnf(refute_0_454,plain,
( op(e3,op(e3,e2)) != e3
| e2 = e3 ),
inference(resolve,[$cnf( $equal(op(e3,op(e3,e2)),e2) )],[refute_0_367,refute_0_453]) ).
cnf(refute_0_455,plain,
( e2 = e3
| op(e2,e3) = e0
| op(e2,e3) = e1
| op(e2,e3) = e4 ),
inference(resolve,[$cnf( $equal(op(e3,op(e3,e2)),e3) )],[refute_0_452,refute_0_454]) ).
cnf(refute_0_456,plain,
( op(e2,e3) = e0
| op(e2,e3) = e1
| op(e2,e3) = e4 ),
inference(resolve,[$cnf( $equal(e2,e3) )],[refute_0_455,refute_0_237]) ).
cnf(refute_0_457,plain,
( op(e2,e3) != e4
| op(e2,op(e2,e3)) != e3
| op(e2,e4) = e3 ),
introduced(tautology,[equality,[$cnf( $equal(op(e2,op(e2,e3)),e3) ),[0,1],$fot(e4)]]) ).
cnf(refute_0_458,plain,
( op(e2,op(e2,e3)) != e3
| op(e2,e3) = e0
| op(e2,e3) = e1
| op(e2,e4) = e3 ),
inference(resolve,[$cnf( $equal(op(e2,e3),e4) )],[refute_0_456,refute_0_457]) ).
cnf(refute_0_459,plain,
( op(e2,e3) = e0
| op(e2,e3) = e1
| op(e2,e4) = e3 ),
inference(resolve,[$cnf( $equal(op(e2,op(e2,e3)),e3) )],[refute_0_279,refute_0_458]) ).
cnf(refute_0_460,plain,
( op(e2,e3) != e3
| op(e2,e4) != e3
| op(e2,e3) = op(e2,e4) ),
introduced(tautology,[equality,[$cnf( ~ $equal(op(e2,e3),op(e2,e4)) ),[1],$fot(e3)]]) ).
cnf(refute_0_461,plain,
( op(e2,e3) != e3
| op(e2,e3) = e0
| op(e2,e3) = e1
| op(e2,e3) = op(e2,e4) ),
inference(resolve,[$cnf( $equal(op(e2,e4),e3) )],[refute_0_459,refute_0_460]) ).
cnf(refute_0_462,plain,
( op(e2,e3) != e3
| op(e2,e3) = e0
| op(e2,e3) = e1 ),
inference(resolve,[$cnf( $equal(op(e2,e3),op(e2,e4)) )],[refute_0_461,refute_0_440]) ).
cnf(refute_0_463,plain,
( op(e2,e3) != e0
| op(e2,e3) != e3
| e3 = e0 ),
introduced(tautology,[equality,[$cnf( $equal(op(e2,e3),e0) ),[0],$fot(e3)]]) ).
cnf(refute_0_464,plain,
( op(e2,e3) != e3
| e3 = e0
| op(e2,e3) = e1 ),
inference(resolve,[$cnf( $equal(op(e2,e3),e0) )],[refute_0_462,refute_0_463]) ).
cnf(refute_0_465,plain,
( op(e2,e3) != e1
| op(e2,e3) != e3
| e3 = e1 ),
introduced(tautology,[equality,[$cnf( $equal(op(e2,e3),e1) ),[0],$fot(e3)]]) ).
cnf(refute_0_466,plain,
( op(e2,e3) != e3
| e3 = e0
| e3 = e1 ),
inference(resolve,[$cnf( $equal(op(e2,e3),e1) )],[refute_0_464,refute_0_465]) ).
cnf(refute_0_467,plain,
( op(e2,e3) != e3
| e3 = e1 ),
inference(resolve,[$cnf( $equal(e3,e0) )],[refute_0_466,refute_0_99]) ).
cnf(refute_0_468,plain,
op(e2,e3) != e3,
inference(resolve,[$cnf( $equal(e3,e1) )],[refute_0_467,refute_0_30]) ).
cnf(refute_0_469,plain,
( op(e3,e0) = e1
| op(e3,e0) = e2
| op(e3,e0) = e4 ),
inference(resolve,[$cnf( $equal(op(e2,e3),e3) )],[refute_0_439,refute_0_468]) ).
cnf(refute_0_470,plain,
( e1 != op(e3,e2)
| op(e3,e0) != e1
| op(e3,e0) = op(e3,e2) ),
introduced(tautology,[equality,[$cnf( $equal(op(e3,e0),e1) ),[1],$fot(op(e3,e2))]]) ).
cnf(refute_0_471,plain,
( e1 != op(e3,e2)
| op(e3,e0) = e2
| op(e3,e0) = e4
| op(e3,e0) = op(e3,e2) ),
inference(resolve,[$cnf( $equal(op(e3,e0),e1) )],[refute_0_469,refute_0_470]) ).
cnf(refute_0_472,plain,
( e1 != op(e3,e2)
| op(e3,e0) = e2
| op(e3,e0) = e4 ),
inference(resolve,[$cnf( $equal(op(e3,e0),op(e3,e2)) )],[refute_0_471,refute_0_368]) ).
cnf(refute_0_473,plain,
op(e3,e2) != op(e3,e3),
inference(canonicalize,[],[normalize_0_84]) ).
cnf(refute_0_474,plain,
( op(e3,e2) != e3
| op(e3,e3) != e3
| op(e3,e2) = op(e3,e3) ),
introduced(tautology,[equality,[$cnf( ~ $equal(op(e3,e2),op(e3,e3)) ),[1],$fot(e3)]]) ).
cnf(refute_0_475,plain,
( op(e3,e2) != e3
| op(e0,e3) = e3
| op(e2,e3) = e3
| op(e3,e2) = op(e3,e3) ),
inference(resolve,[$cnf( $equal(op(e3,e3),e3) )],[refute_0_393,refute_0_474]) ).
cnf(refute_0_476,plain,
( op(e3,e2) != e3
| op(e0,e3) = e3
| op(e2,e3) = e3 ),
inference(resolve,[$cnf( $equal(op(e3,e2),op(e3,e3)) )],[refute_0_475,refute_0_473]) ).
cnf(refute_0_477,plain,
( op(e3,e2) = e0
| op(e3,e2) = e1
| op(e3,e2) = e2
| op(e3,e2) = e3
| op(e3,e2) = e4 ),
inference(canonicalize,[],[normalize_0_85]) ).
cnf(refute_0_478,plain,
op(e2,e2) != op(e3,e2),
inference(canonicalize,[],[normalize_0_86]) ).
cnf(refute_0_479,plain,
( e2 != op(e3,e2)
| op(e2,e2) != e2
| op(e2,e2) = op(e3,e2) ),
introduced(tautology,[equality,[$cnf( $equal(op(e2,e2),e2) ),[1],$fot(op(e3,e2))]]) ).
cnf(refute_0_480,plain,
( e2 != op(e3,e2)
| op(e2,e2) = op(e3,e2) ),
inference(resolve,[$cnf( $equal(op(e2,e2),e2) )],[refute_0_443,refute_0_479]) ).
cnf(refute_0_481,plain,
e2 != op(e3,e2),
inference(resolve,[$cnf( $equal(op(e2,e2),op(e3,e2)) )],[refute_0_480,refute_0_478]) ).
cnf(refute_0_482,plain,
( op(e3,e2) != e2
| e2 = op(e3,e2) ),
inference(subst,[],[refute_0_17:[bind(X,$fot(op(e3,e2))),bind(Y,$fot(e2))]]) ).
cnf(refute_0_483,plain,
op(e3,e2) != e2,
inference(resolve,[$cnf( $equal(e2,op(e3,e2)) )],[refute_0_482,refute_0_481]) ).
cnf(refute_0_484,plain,
( op(e3,e2) = e0
| op(e3,e2) = e1
| op(e3,e2) = e3
| op(e3,e2) = e4 ),
inference(resolve,[$cnf( $equal(op(e3,e2),e2) )],[refute_0_477,refute_0_483]) ).
cnf(refute_0_485,plain,
( e3 != e3
| op(e3,e2) != e3
| op(e3,e2) = e3 ),
introduced(tautology,[equality,[$cnf( $equal(op(e3,e2),e3) ),[0,0],$fot(e3)]]) ).
cnf(refute_0_486,plain,
( e3 != e3
| op(e3,e2) = e0
| op(e3,e2) = e1
| op(e3,e2) = e3
| op(e3,e2) = e4 ),
inference(resolve,[$cnf( $equal(op(e3,e2),e3) )],[refute_0_484,refute_0_485]) ).
cnf(refute_0_487,plain,
( e3 != e3
| op(e0,e3) = e3
| op(e2,e3) = e3
| op(e3,e2) = e0
| op(e3,e2) = e1
| op(e3,e2) = e4 ),
inference(resolve,[$cnf( $equal(op(e3,e2),e3) )],[refute_0_486,refute_0_476]) ).
cnf(refute_0_488,plain,
( op(e0,e3) = e3
| op(e2,e3) = e3
| op(e3,e2) = e0
| op(e3,e2) = e1
| op(e3,e2) = e4 ),
inference(resolve,[$cnf( $equal(e3,e3) )],[refute_0_408,refute_0_487]) ).
cnf(refute_0_489,plain,
( op(e2,e3) = e3
| op(e3,e2) = e0
| op(e3,e2) = e1
| op(e3,e2) = e4 ),
inference(resolve,[$cnf( $equal(op(e0,e3),e3) )],[refute_0_488,refute_0_438]) ).
cnf(refute_0_490,plain,
( op(e3,e2) = e0
| op(e3,e2) = e1
| op(e3,e2) = e4 ),
inference(resolve,[$cnf( $equal(op(e2,e3),e3) )],[refute_0_489,refute_0_468]) ).
cnf(refute_0_491,plain,
( e1 != e1
| op(e3,e2) != e1
| e1 = op(e3,e2) ),
introduced(tautology,[equality,[$cnf( ~ $equal(e1,op(e3,e2)) ),[1],$fot(e1)]]) ).
cnf(refute_0_492,plain,
( e1 != e1
| e1 = op(e3,e2)
| op(e3,e2) = e0
| op(e3,e2) = e4 ),
inference(resolve,[$cnf( $equal(op(e3,e2),e1) )],[refute_0_490,refute_0_491]) ).
cnf(refute_0_493,plain,
( e1 != e1
| op(e3,e0) = e2
| op(e3,e0) = e4
| op(e3,e2) = e0
| op(e3,e2) = e4 ),
inference(resolve,[$cnf( $equal(e1,op(e3,e2)) )],[refute_0_492,refute_0_472]) ).
cnf(refute_0_494,plain,
( op(e3,e0) = e2
| op(e3,e0) = e4
| op(e3,e2) = e0
| op(e3,e2) = e4 ),
inference(resolve,[$cnf( $equal(e1,e1) )],[refute_0_61,refute_0_493]) ).
cnf(refute_0_495,plain,
( op(e3,e2) != e0
| op(e3,op(e3,e2)) != e2
| op(e3,e0) = e2 ),
introduced(tautology,[equality,[$cnf( $equal(op(e3,op(e3,e2)),e2) ),[0,1],$fot(e0)]]) ).
cnf(refute_0_496,plain,
( op(e3,op(e3,e2)) != e2
| op(e3,e0) = e2
| op(e3,e0) = e4
| op(e3,e2) = e4 ),
inference(resolve,[$cnf( $equal(op(e3,e2),e0) )],[refute_0_494,refute_0_495]) ).
cnf(refute_0_497,plain,
( op(e3,e0) = e2
| op(e3,e0) = e4
| op(e3,e2) = e4 ),
inference(resolve,[$cnf( $equal(op(e3,op(e3,e2)),e2) )],[refute_0_367,refute_0_496]) ).
cnf(refute_0_498,plain,
( op(e3,e2) != e4
| op(e3,op(e3,e2)) != e2
| op(e3,e4) = e2 ),
introduced(tautology,[equality,[$cnf( $equal(op(e3,op(e3,e2)),e2) ),[0,1],$fot(e4)]]) ).
cnf(refute_0_499,plain,
( op(e3,op(e3,e2)) != e2
| op(e3,e0) = e2
| op(e3,e0) = e4
| op(e3,e4) = e2 ),
inference(resolve,[$cnf( $equal(op(e3,e2),e4) )],[refute_0_497,refute_0_498]) ).
cnf(refute_0_500,plain,
( op(e3,e0) = e2
| op(e3,e0) = e4
| op(e3,e4) = e2 ),
inference(resolve,[$cnf( $equal(op(e3,op(e3,e2)),e2) )],[refute_0_367,refute_0_499]) ).
cnf(refute_0_501,plain,
( e2 != e2
| op(e3,e4) != e2
| e2 = op(e3,e4) ),
introduced(tautology,[equality,[$cnf( ~ $equal(e2,op(e3,e4)) ),[1],$fot(e2)]]) ).
cnf(refute_0_502,plain,
( e2 != e2
| e2 = op(e3,e4)
| op(e3,e0) = e2
| op(e3,e0) = e4 ),
inference(resolve,[$cnf( $equal(op(e3,e4),e2) )],[refute_0_500,refute_0_501]) ).
cnf(refute_0_503,plain,
( e0 != op(e2,e3)
| e1 != op(e3,e0)
| e2 != e2
| op(e3,e0) = e2
| op(e3,e0) = e4 ),
inference(resolve,[$cnf( $equal(e2,op(e3,e4)) )],[refute_0_502,refute_0_366]) ).
cnf(refute_0_504,plain,
( e0 != op(e2,e3)
| e1 != op(e3,e0)
| op(e3,e0) = e2
| op(e3,e0) = e4 ),
inference(resolve,[$cnf( $equal(e2,e2) )],[refute_0_139,refute_0_503]) ).
cnf(refute_0_505,plain,
( e1 != e1
| e1 != op(e3,e0)
| op(e3,e0) = e1 ),
introduced(tautology,[equality,[$cnf( $equal(e1,e1) ),[0],$fot(op(e3,e0))]]) ).
cnf(refute_0_506,plain,
( e1 != op(e3,e0)
| op(e3,e0) = e1 ),
inference(resolve,[$cnf( $equal(e1,e1) )],[refute_0_61,refute_0_505]) ).
cnf(refute_0_507,plain,
( op(e3,e0) != e1
| op(e3,e0) != e2
| e1 = e2 ),
introduced(tautology,[equality,[$cnf( $equal(op(e3,e0),e2) ),[0],$fot(e1)]]) ).
cnf(refute_0_508,plain,
( e1 != op(e3,e0)
| op(e3,e0) != e2
| e1 = e2 ),
inference(resolve,[$cnf( $equal(op(e3,e0),e1) )],[refute_0_506,refute_0_507]) ).
cnf(refute_0_509,plain,
( e0 != op(e2,e3)
| e1 != op(e3,e0)
| e1 = e2
| op(e3,e0) = e4 ),
inference(resolve,[$cnf( $equal(op(e3,e0),e2) )],[refute_0_504,refute_0_508]) ).
cnf(refute_0_510,plain,
( op(e3,e0) != e1
| op(e3,e0) != e4
| e1 = e4 ),
introduced(tautology,[equality,[$cnf( $equal(op(e3,e0),e4) ),[0],$fot(e1)]]) ).
cnf(refute_0_511,plain,
( e1 != op(e3,e0)
| op(e3,e0) != e4
| e1 = e4 ),
inference(resolve,[$cnf( $equal(op(e3,e0),e1) )],[refute_0_506,refute_0_510]) ).
cnf(refute_0_512,plain,
( e0 != op(e2,e3)
| e1 != op(e3,e0)
| e1 = e2
| e1 = e4 ),
inference(resolve,[$cnf( $equal(op(e3,e0),e4) )],[refute_0_509,refute_0_511]) ).
cnf(refute_0_513,plain,
( e0 != op(e2,e3)
| e1 != op(e3,e0)
| e1 = e4 ),
inference(resolve,[$cnf( $equal(e1,e2) )],[refute_0_512,refute_0_39]) ).
cnf(refute_0_514,plain,
( e0 != op(e2,e3)
| e1 != op(e3,e0) ),
inference(resolve,[$cnf( $equal(e1,e4) )],[refute_0_513,refute_0_14]) ).
cnf(refute_0_515,plain,
( op(e0,e0) = e2
| op(e1,e0) = e2
| op(e2,e0) = e2
| op(e3,e0) = e2
| op(e4,e0) = e2 ),
inference(canonicalize,[],[normalize_0_87]) ).
cnf(refute_0_516,plain,
( op(e0,e0) != e0
| op(e0,e0) != e2
| e0 = e2 ),
introduced(tautology,[equality,[$cnf( $equal(op(e0,e0),e2) ),[0],$fot(e0)]]) ).
cnf(refute_0_517,plain,
( op(e0,e0) != e2
| e0 = e2 ),
inference(resolve,[$cnf( $equal(op(e0,e0),e0) )],[refute_0_115,refute_0_516]) ).
cnf(refute_0_518,plain,
( e0 = e2
| op(e1,e0) = e2
| op(e2,e0) = e2
| op(e3,e0) = e2
| op(e4,e0) = e2 ),
inference(resolve,[$cnf( $equal(op(e0,e0),e2) )],[refute_0_515,refute_0_517]) ).
cnf(refute_0_519,plain,
( op(e1,e0) = e2
| op(e2,e0) = e2
| op(e3,e0) = e2
| op(e4,e0) = e2 ),
inference(resolve,[$cnf( $equal(e0,e2) )],[refute_0_518,refute_0_108]) ).
cnf(refute_0_520,plain,
( op(e2,e0) != e2
| op(e2,e0) = op(e2,e2) ),
inference(resolve,[$cnf( $equal(op(e2,e2),e2) )],[refute_0_443,refute_0_297]) ).
cnf(refute_0_521,plain,
op(e2,e0) != e2,
inference(resolve,[$cnf( $equal(op(e2,e0),op(e2,e2)) )],[refute_0_520,refute_0_261]) ).
cnf(refute_0_522,plain,
( op(e1,e0) = e2
| op(e3,e0) = e2
| op(e4,e0) = e2 ),
inference(resolve,[$cnf( $equal(op(e2,e0),e2) )],[refute_0_519,refute_0_521]) ).
cnf(refute_0_523,plain,
( op(e0,e0) = e1
| op(e1,e0) = e1
| op(e2,e0) = e1
| op(e3,e0) = e1
| op(e4,e0) = e1 ),
inference(canonicalize,[],[normalize_0_88]) ).
cnf(refute_0_524,plain,
( op(e0,e0) != e0
| op(e0,e0) != e1
| e0 = e1 ),
introduced(tautology,[equality,[$cnf( $equal(op(e0,e0),e1) ),[0],$fot(e0)]]) ).
cnf(refute_0_525,plain,
( op(e0,e0) != e1
| e0 = e1 ),
inference(resolve,[$cnf( $equal(op(e0,e0),e0) )],[refute_0_115,refute_0_524]) ).
cnf(refute_0_526,plain,
( e0 = e1
| op(e1,e0) = e1
| op(e2,e0) = e1
| op(e3,e0) = e1
| op(e4,e0) = e1 ),
inference(resolve,[$cnf( $equal(op(e0,e0),e1) )],[refute_0_523,refute_0_525]) ).
cnf(refute_0_527,plain,
( op(e1,e0) = e1
| op(e2,e0) = e1
| op(e3,e0) = e1
| op(e4,e0) = e1 ),
inference(resolve,[$cnf( $equal(e0,e1) )],[refute_0_526,refute_0_54]) ).
cnf(refute_0_528,plain,
( op(e1,e0) = e1
| op(e1,e1) = e1
| op(e1,e2) = e1
| op(e1,e3) = e1
| op(e1,e4) = e1 ),
inference(canonicalize,[],[normalize_0_89]) ).
cnf(refute_0_529,plain,
( op(e1,e4) != e1
| op(e1,op(e1,e4)) != e4
| op(e1,e1) = e4 ),
introduced(tautology,[equality,[$cnf( $equal(op(e1,op(e1,e4)),e4) ),[0,1],$fot(e1)]]) ).
cnf(refute_0_530,plain,
( op(e1,op(e1,e4)) != e4
| op(e1,e0) = e1
| op(e1,e1) = e1
| op(e1,e1) = e4
| op(e1,e2) = e1
| op(e1,e3) = e1 ),
inference(resolve,[$cnf( $equal(op(e1,e4),e1) )],[refute_0_528,refute_0_529]) ).
cnf(refute_0_531,plain,
( op(e1,e0) = e1
| op(e1,e1) = e1
| op(e1,e1) = e4
| op(e1,e2) = e1
| op(e1,e3) = e1 ),
inference(resolve,[$cnf( $equal(op(e1,op(e1,e4)),e4) )],[refute_0_10,refute_0_530]) ).
cnf(refute_0_532,plain,
( e1 != e1
| e1 = op(e1,e3)
| op(e1,e0) = e1
| op(e1,e1) = e1
| op(e1,e1) = e4
| op(e1,e2) = e1 ),
inference(resolve,[$cnf( $equal(op(e1,e3),e1) )],[refute_0_531,refute_0_174]) ).
cnf(refute_0_533,plain,
( e1 != e1
| op(e0,e1) = e1
| op(e1,e0) = e1
| op(e1,e1) = e1
| op(e1,e1) = e4
| op(e1,e2) = e1 ),
inference(resolve,[$cnf( $equal(e1,op(e1,e3)) )],[refute_0_532,refute_0_163]) ).
cnf(refute_0_534,plain,
( op(e0,e1) = e1
| op(e1,e0) = e1
| op(e1,e1) = e1
| op(e1,e1) = e4
| op(e1,e2) = e1 ),
inference(resolve,[$cnf( $equal(e1,e1) )],[refute_0_61,refute_0_533]) ).
cnf(refute_0_535,plain,
( op(e1,e0) = e1
| op(e1,e1) = e1
| op(e1,e1) = e4
| op(e1,e2) = e1 ),
inference(resolve,[$cnf( $equal(op(e0,e1),e1) )],[refute_0_534,refute_0_133]) ).
cnf(refute_0_536,plain,
( e1 != e1
| e1 = op(e1,e2)
| op(e1,e0) = e1
| op(e1,e1) = e1
| op(e1,e1) = e4 ),
inference(resolve,[$cnf( $equal(op(e1,e2),e1) )],[refute_0_535,refute_0_205]) ).
cnf(refute_0_537,plain,
( e1 != e1
| op(e0,e1) = e1
| op(e1,e0) = e1
| op(e1,e1) = e1
| op(e1,e1) = e4 ),
inference(resolve,[$cnf( $equal(e1,op(e1,e2)) )],[refute_0_536,refute_0_194]) ).
cnf(refute_0_538,plain,
( op(e0,e1) = e1
| op(e1,e0) = e1
| op(e1,e1) = e1
| op(e1,e1) = e4 ),
inference(resolve,[$cnf( $equal(e1,e1) )],[refute_0_61,refute_0_537]) ).
cnf(refute_0_539,plain,
( op(e1,e0) = e1
| op(e1,e1) = e1
| op(e1,e1) = e4 ),
inference(resolve,[$cnf( $equal(op(e0,e1),e1) )],[refute_0_538,refute_0_133]) ).
cnf(refute_0_540,plain,
( op(e1,e0) != e4
| op(e1,e1) != e4
| op(e1,e0) = op(e1,e1) ),
introduced(tautology,[equality,[$cnf( ~ $equal(op(e1,e0),op(e1,e1)) ),[1],$fot(e4)]]) ).
cnf(refute_0_541,plain,
( op(e1,e0) != e4
| op(e1,e0) = e1
| op(e1,e0) = op(e1,e1)
| op(e1,e1) = e1 ),
inference(resolve,[$cnf( $equal(op(e1,e1),e4) )],[refute_0_539,refute_0_540]) ).
cnf(refute_0_542,plain,
( op(e1,e0) != e4
| op(e1,e0) = e1
| op(e1,e1) = e1 ),
inference(resolve,[$cnf( $equal(op(e1,e0),op(e1,e1)) )],[refute_0_541,refute_0_2]) ).
cnf(refute_0_543,plain,
( op(e1,e0) != e1
| op(e1,e0) != e4
| e4 = e1 ),
introduced(tautology,[equality,[$cnf( $equal(op(e1,e0),e1) ),[0],$fot(e4)]]) ).
cnf(refute_0_544,plain,
( op(e1,e0) != e4
| e4 = e1
| op(e1,e1) = e1 ),
inference(resolve,[$cnf( $equal(op(e1,e0),e1) )],[refute_0_542,refute_0_543]) ).
cnf(refute_0_545,plain,
( op(e1,e0) != e4
| op(e1,e1) = e1 ),
inference(resolve,[$cnf( $equal(e4,e1) )],[refute_0_544,refute_0_19]) ).
cnf(refute_0_546,plain,
( e4 != e4
| op(e1,e0) != e4
| op(e1,e0) = e4 ),
introduced(tautology,[equality,[$cnf( $equal(op(e1,e0),e4) ),[1],$fot(e4)]]) ).
cnf(refute_0_547,plain,
( e4 != e4
| op(e1,e0) = e2
| op(e1,e0) = e3
| op(e1,e0) = e4 ),
inference(resolve,[$cnf( $equal(op(e1,e0),e4) )],[refute_0_134,refute_0_546]) ).
cnf(refute_0_548,plain,
( e4 != e4
| op(e1,e0) = e2
| op(e1,e0) = e3
| op(e1,e1) = e1 ),
inference(resolve,[$cnf( $equal(op(e1,e0),e4) )],[refute_0_547,refute_0_545]) ).
cnf(refute_0_549,plain,
( op(e1,e0) = e2
| op(e1,e0) = e3
| op(e1,e1) = e1 ),
inference(resolve,[$cnf( $equal(e4,e4) )],[refute_0_213,refute_0_548]) ).
cnf(refute_0_550,plain,
( op(e1,e0) != e1
| op(e1,e0) = e2
| op(e1,e0) = e3
| op(e1,e0) = op(e1,e1) ),
inference(resolve,[$cnf( $equal(op(e1,e1),e1) )],[refute_0_549,refute_0_43]) ).
cnf(refute_0_551,plain,
( op(e1,e0) != e1
| op(e1,e0) = e2
| op(e1,e0) = e3 ),
inference(resolve,[$cnf( $equal(op(e1,e0),op(e1,e1)) )],[refute_0_550,refute_0_2]) ).
cnf(refute_0_552,plain,
( op(e1,e0) != e1
| op(e1,e0) != e2
| e1 = e2 ),
introduced(tautology,[equality,[$cnf( $equal(op(e1,e0),e2) ),[0],$fot(e1)]]) ).
cnf(refute_0_553,plain,
( op(e1,e0) != e1
| e1 = e2
| op(e1,e0) = e3 ),
inference(resolve,[$cnf( $equal(op(e1,e0),e2) )],[refute_0_551,refute_0_552]) ).
cnf(refute_0_554,plain,
( op(e1,e0) != e1
| op(e1,e0) != e3
| e1 = e3 ),
introduced(tautology,[equality,[$cnf( $equal(op(e1,e0),e3) ),[0],$fot(e1)]]) ).
cnf(refute_0_555,plain,
( op(e1,e0) != e1
| e1 = e2
| e1 = e3 ),
inference(resolve,[$cnf( $equal(op(e1,e0),e3) )],[refute_0_553,refute_0_554]) ).
cnf(refute_0_556,plain,
( op(e1,e0) != e1
| e1 = e3 ),
inference(resolve,[$cnf( $equal(e1,e2) )],[refute_0_555,refute_0_39]) ).
cnf(refute_0_557,plain,
op(e1,e0) != e1,
inference(resolve,[$cnf( $equal(e1,e3) )],[refute_0_556,refute_0_28]) ).
cnf(refute_0_558,plain,
( op(e2,e0) = e1
| op(e3,e0) = e1
| op(e4,e0) = e1 ),
inference(resolve,[$cnf( $equal(op(e1,e0),e1) )],[refute_0_527,refute_0_557]) ).
cnf(refute_0_559,plain,
( op(e4,e0) != e1
| op(e4,e0) != e2
| e1 = e2 ),
introduced(tautology,[equality,[$cnf( $equal(op(e4,e0),e2) ),[0],$fot(e1)]]) ).
cnf(refute_0_560,plain,
( op(e4,e0) != e2
| e1 = e2
| op(e2,e0) = e1
| op(e3,e0) = e1 ),
inference(resolve,[$cnf( $equal(op(e4,e0),e1) )],[refute_0_558,refute_0_559]) ).
cnf(refute_0_561,plain,
( e1 = e2
| op(e1,e0) = e2
| op(e2,e0) = e1
| op(e3,e0) = e1
| op(e3,e0) = e2 ),
inference(resolve,[$cnf( $equal(op(e4,e0),e2) )],[refute_0_522,refute_0_560]) ).
cnf(refute_0_562,plain,
( op(e1,e0) = e2
| op(e2,e0) = e1
| op(e3,e0) = e1
| op(e3,e0) = e2 ),
inference(resolve,[$cnf( $equal(e1,e2) )],[refute_0_561,refute_0_39]) ).
cnf(refute_0_563,plain,
( e1 != e1
| op(e3,e0) != e1
| e1 = op(e3,e0) ),
introduced(tautology,[equality,[$cnf( ~ $equal(e1,op(e3,e0)) ),[1],$fot(e1)]]) ).
cnf(refute_0_564,plain,
( e1 != e1
| e1 = op(e3,e0)
| op(e1,e0) = e2
| op(e2,e0) = e1
| op(e3,e0) = e2 ),
inference(resolve,[$cnf( $equal(op(e3,e0),e1) )],[refute_0_562,refute_0_563]) ).
cnf(refute_0_565,plain,
( e0 != op(e2,e3)
| e1 != e1
| op(e1,e0) = e2
| op(e2,e0) = e1
| op(e3,e0) = e2 ),
inference(resolve,[$cnf( $equal(e1,op(e3,e0)) )],[refute_0_564,refute_0_514]) ).
cnf(refute_0_566,plain,
( e0 != op(e2,e3)
| op(e1,e0) = e2
| op(e2,e0) = e1
| op(e3,e0) = e2 ),
inference(resolve,[$cnf( $equal(e1,e1) )],[refute_0_61,refute_0_565]) ).
cnf(refute_0_567,plain,
( e0 != e0
| op(e2,e3) != e0
| e0 = op(e2,e3) ),
introduced(tautology,[equality,[$cnf( ~ $equal(e0,op(e2,e3)) ),[1],$fot(e0)]]) ).
cnf(refute_0_568,plain,
( e0 != e0
| e0 = op(e2,e3)
| op(e2,e0) = e1
| op(e2,e0) = e4 ),
inference(resolve,[$cnf( $equal(op(e2,e3),e0) )],[refute_0_343,refute_0_567]) ).
cnf(refute_0_569,plain,
( e0 != e0
| op(e1,e0) = e2
| op(e2,e0) = e1
| op(e2,e0) = e4
| op(e3,e0) = e2 ),
inference(resolve,[$cnf( $equal(e0,op(e2,e3)) )],[refute_0_568,refute_0_566]) ).
cnf(refute_0_570,plain,
( op(e1,e0) = e2
| op(e2,e0) = e1
| op(e2,e0) = e4
| op(e3,e0) = e2 ),
inference(resolve,[$cnf( $equal(e0,e0) )],[refute_0_149,refute_0_569]) ).
cnf(refute_0_571,plain,
( op(e3,e0) != e2
| op(e3,op(e3,e0)) != e0
| op(e3,e2) = e0 ),
introduced(tautology,[equality,[$cnf( $equal(op(e3,op(e3,e0)),e0) ),[0,1],$fot(e2)]]) ).
cnf(refute_0_572,plain,
( op(e3,op(e3,e0)) != e0
| op(e1,e0) = e2
| op(e2,e0) = e1
| op(e2,e0) = e4
| op(e3,e2) = e0 ),
inference(resolve,[$cnf( $equal(op(e3,e0),e2) )],[refute_0_570,refute_0_571]) ).
cnf(refute_0_573,plain,
( op(e1,e0) = e2
| op(e2,e0) = e1
| op(e2,e0) = e4
| op(e3,e2) = e0 ),
inference(resolve,[$cnf( $equal(op(e3,op(e3,e0)),e0) )],[refute_0_347,refute_0_572]) ).
cnf(refute_0_574,plain,
( op(e0,op(e3,e2)) != e3
| op(e3,e2) != e0
| op(e0,e0) = e3 ),
introduced(tautology,[equality,[$cnf( $equal(op(e0,op(e3,e2)),e3) ),[0,1],$fot(e0)]]) ).
cnf(refute_0_575,plain,
( op(e0,op(e3,e2)) != e3
| op(e0,e0) = e3
| op(e1,e0) = e2
| op(e2,e0) = e1
| op(e2,e0) = e4 ),
inference(resolve,[$cnf( $equal(op(e3,e2),e0) )],[refute_0_573,refute_0_574]) ).
cnf(refute_0_576,plain,
( op(e0,e0) = e3
| op(e1,e0) = e2
| op(e2,e0) = e1
| op(e2,e0) = e4 ),
inference(resolve,[$cnf( $equal(op(e0,op(e3,e2)),e3) )],[refute_0_346,refute_0_575]) ).
cnf(refute_0_577,plain,
( op(e0,e0) != e0
| op(e0,e0) != e3
| e0 = e3 ),
introduced(tautology,[equality,[$cnf( $equal(op(e0,e0),e3) ),[0],$fot(e0)]]) ).
cnf(refute_0_578,plain,
( op(e0,e0) != e3
| e0 = e3 ),
inference(resolve,[$cnf( $equal(op(e0,e0),e0) )],[refute_0_115,refute_0_577]) ).
cnf(refute_0_579,plain,
( e0 = e3
| op(e1,e0) = e2
| op(e2,e0) = e1
| op(e2,e0) = e4 ),
inference(resolve,[$cnf( $equal(op(e0,e0),e3) )],[refute_0_576,refute_0_578]) ).
cnf(refute_0_580,plain,
( op(e1,e0) = e2
| op(e2,e0) = e1
| op(e2,e0) = e4 ),
inference(resolve,[$cnf( $equal(e0,e3) )],[refute_0_579,refute_0_97]) ).
cnf(refute_0_581,plain,
( op(e1,e0) != e4
| op(e2,e0) != e4
| op(e1,e0) = op(e2,e0) ),
introduced(tautology,[equality,[$cnf( ~ $equal(op(e1,e0),op(e2,e0)) ),[1],$fot(e4)]]) ).
cnf(refute_0_582,plain,
( op(e1,e0) != e4
| op(e1,e0) = e2
| op(e1,e0) = op(e2,e0)
| op(e2,e0) = e1 ),
inference(resolve,[$cnf( $equal(op(e2,e0),e4) )],[refute_0_580,refute_0_581]) ).
cnf(refute_0_583,plain,
( op(e1,e0) != e4
| op(e1,e0) = e2
| op(e2,e0) = e1 ),
inference(resolve,[$cnf( $equal(op(e1,e0),op(e2,e0)) )],[refute_0_582,refute_0_259]) ).
cnf(refute_0_584,plain,
( op(e1,e0) != e2
| op(e1,e0) != e4
| e4 = e2 ),
introduced(tautology,[equality,[$cnf( $equal(op(e1,e0),e2) ),[0],$fot(e4)]]) ).
cnf(refute_0_585,plain,
( op(e1,e0) != e4
| e4 = e2
| op(e2,e0) = e1 ),
inference(resolve,[$cnf( $equal(op(e1,e0),e2) )],[refute_0_583,refute_0_584]) ).
cnf(refute_0_586,plain,
( op(e1,e0) != e4
| op(e2,e0) = e1 ),
inference(resolve,[$cnf( $equal(e4,e2) )],[refute_0_585,refute_0_274]) ).
cnf(refute_0_587,plain,
( e4 != e4
| op(e1,e0) = e2
| op(e1,e0) = e3
| op(e2,e0) = e1 ),
inference(resolve,[$cnf( $equal(op(e1,e0),e4) )],[refute_0_547,refute_0_586]) ).
cnf(refute_0_588,plain,
( op(e1,e0) = e2
| op(e1,e0) = e3
| op(e2,e0) = e1 ),
inference(resolve,[$cnf( $equal(e4,e4) )],[refute_0_213,refute_0_587]) ).
cnf(refute_0_589,plain,
( op(e2,e0) != e1
| op(e2,op(e2,e0)) != e0
| op(e2,e1) = e0 ),
introduced(tautology,[equality,[$cnf( $equal(op(e2,op(e2,e0)),e0) ),[0,1],$fot(e1)]]) ).
cnf(refute_0_590,plain,
( op(e2,op(e2,e0)) != e0
| op(e1,e0) = e2
| op(e1,e0) = e3
| op(e2,e1) = e0 ),
inference(resolve,[$cnf( $equal(op(e2,e0),e1) )],[refute_0_588,refute_0_589]) ).
cnf(refute_0_591,plain,
( op(e1,e0) = e2
| op(e1,e0) = e3
| op(e2,e1) = e0 ),
inference(resolve,[$cnf( $equal(op(e2,op(e2,e0)),e0) )],[refute_0_258,refute_0_590]) ).
cnf(refute_0_592,plain,
( e0 != e0
| op(e2,e1) != e0
| e0 = op(e2,e1) ),
introduced(tautology,[equality,[$cnf( ~ $equal(e0,op(e2,e1)) ),[1],$fot(e0)]]) ).
cnf(refute_0_593,plain,
( e0 != e0
| e0 = op(e2,e1)
| op(e1,e0) = e2
| op(e1,e0) = e3 ),
inference(resolve,[$cnf( $equal(op(e2,e1),e0) )],[refute_0_591,refute_0_592]) ).
cnf(refute_0_594,plain,
( e0 != e0
| e2 != op(e1,e3)
| e4 != op(e1,e0)
| op(e1,e0) = e2
| op(e1,e0) = e3 ),
inference(resolve,[$cnf( $equal(e0,op(e2,e1)) )],[refute_0_593,refute_0_257]) ).
cnf(refute_0_595,plain,
( e2 != op(e1,e3)
| e4 != op(e1,e0)
| op(e1,e0) = e2
| op(e1,e0) = e3 ),
inference(resolve,[$cnf( $equal(e0,e0) )],[refute_0_149,refute_0_594]) ).
cnf(refute_0_596,plain,
( e4 != e4
| e4 != op(e1,e0)
| op(e1,e0) = e4 ),
introduced(tautology,[equality,[$cnf( $equal(e4,e4) ),[0],$fot(op(e1,e0))]]) ).
cnf(refute_0_597,plain,
( e4 != op(e1,e0)
| op(e1,e0) = e4 ),
inference(resolve,[$cnf( $equal(e4,e4) )],[refute_0_213,refute_0_596]) ).
cnf(refute_0_598,plain,
( e4 != op(e1,e0)
| op(e1,e0) != e2
| e4 = e2 ),
inference(resolve,[$cnf( $equal(op(e1,e0),e4) )],[refute_0_597,refute_0_584]) ).
cnf(refute_0_599,plain,
( e2 != op(e1,e3)
| e4 != op(e1,e0)
| e4 = e2
| op(e1,e0) = e3 ),
inference(resolve,[$cnf( $equal(op(e1,e0),e2) )],[refute_0_595,refute_0_598]) ).
cnf(refute_0_600,plain,
( op(e1,e0) != e3
| op(e1,e0) != e4
| e4 = e3 ),
introduced(tautology,[equality,[$cnf( $equal(op(e1,e0),e3) ),[0],$fot(e4)]]) ).
cnf(refute_0_601,plain,
( e4 != op(e1,e0)
| op(e1,e0) != e3
| e4 = e3 ),
inference(resolve,[$cnf( $equal(op(e1,e0),e4) )],[refute_0_597,refute_0_600]) ).
cnf(refute_0_602,plain,
( e2 != op(e1,e3)
| e4 != op(e1,e0)
| e4 = e2
| e4 = e3 ),
inference(resolve,[$cnf( $equal(op(e1,e0),e3) )],[refute_0_599,refute_0_601]) ).
cnf(refute_0_603,plain,
( e2 != op(e1,e3)
| e4 != op(e1,e0)
| e4 = e3 ),
inference(resolve,[$cnf( $equal(e4,e2) )],[refute_0_602,refute_0_274]) ).
cnf(refute_0_604,plain,
( e2 != op(e1,e3)
| e4 != op(e1,e0) ),
inference(resolve,[$cnf( $equal(e4,e3) )],[refute_0_603,refute_0_189]) ).
cnf(refute_0_605,plain,
op(e1,e0) != op(e1,e3),
inference(canonicalize,[],[normalize_0_90]) ).
cnf(refute_0_606,plain,
( op(e1,e3) != e0
| op(e1,op(e1,e3)) != e3
| op(e1,e0) = e3 ),
introduced(tautology,[equality,[$cnf( $equal(op(e1,op(e1,e3)),e3) ),[0,1],$fot(e0)]]) ).
cnf(refute_0_607,plain,
( op(e1,op(e1,e3)) != e3
| op(e1,e0) = e3
| op(e1,e3) = e2
| op(e1,e3) = e4 ),
inference(resolve,[$cnf( $equal(op(e1,e3),e0) )],[refute_0_178,refute_0_606]) ).
cnf(refute_0_608,plain,
( op(e1,e0) = e3
| op(e1,e3) = e2
| op(e1,e3) = e4 ),
inference(resolve,[$cnf( $equal(op(e1,op(e1,e3)),e3) )],[refute_0_24,refute_0_607]) ).
cnf(refute_0_609,plain,
( op(e1,e0) != e4
| op(e1,e3) != e4
| op(e1,e0) = op(e1,e3) ),
introduced(tautology,[equality,[$cnf( ~ $equal(op(e1,e0),op(e1,e3)) ),[1],$fot(e4)]]) ).
cnf(refute_0_610,plain,
( op(e1,e0) != e4
| op(e1,e0) = e3
| op(e1,e0) = op(e1,e3)
| op(e1,e3) = e2 ),
inference(resolve,[$cnf( $equal(op(e1,e3),e4) )],[refute_0_608,refute_0_609]) ).
cnf(refute_0_611,plain,
( op(e1,e0) != e4
| op(e1,e0) = e3
| op(e1,e3) = e2 ),
inference(resolve,[$cnf( $equal(op(e1,e0),op(e1,e3)) )],[refute_0_610,refute_0_605]) ).
cnf(refute_0_612,plain,
( op(e1,e0) != e4
| e4 = e3
| op(e1,e3) = e2 ),
inference(resolve,[$cnf( $equal(op(e1,e0),e3) )],[refute_0_611,refute_0_600]) ).
cnf(refute_0_613,plain,
( op(e1,e0) != e4
| op(e1,e3) = e2 ),
inference(resolve,[$cnf( $equal(e4,e3) )],[refute_0_612,refute_0_189]) ).
cnf(refute_0_614,plain,
( e4 != e4
| op(e1,e0) = e2
| op(e1,e0) = e3
| op(e1,e3) = e2 ),
inference(resolve,[$cnf( $equal(op(e1,e0),e4) )],[refute_0_547,refute_0_613]) ).
cnf(refute_0_615,plain,
( op(e1,e0) = e2
| op(e1,e0) = e3
| op(e1,e3) = e2 ),
inference(resolve,[$cnf( $equal(e4,e4) )],[refute_0_213,refute_0_614]) ).
cnf(refute_0_616,plain,
( e2 != e2
| op(e1,e3) != e2
| e2 = op(e1,e3) ),
introduced(tautology,[equality,[$cnf( ~ $equal(e2,op(e1,e3)) ),[1],$fot(e2)]]) ).
cnf(refute_0_617,plain,
( e2 != e2
| e2 = op(e1,e3)
| op(e1,e0) = e2
| op(e1,e0) = e3 ),
inference(resolve,[$cnf( $equal(op(e1,e3),e2) )],[refute_0_615,refute_0_616]) ).
cnf(refute_0_618,plain,
( e2 != e2
| e4 != op(e1,e0)
| op(e1,e0) = e2
| op(e1,e0) = e3 ),
inference(resolve,[$cnf( $equal(e2,op(e1,e3)) )],[refute_0_617,refute_0_604]) ).
cnf(refute_0_619,plain,
( e4 != op(e1,e0)
| op(e1,e0) = e2
| op(e1,e0) = e3 ),
inference(resolve,[$cnf( $equal(e2,e2) )],[refute_0_139,refute_0_618]) ).
cnf(refute_0_620,plain,
( e4 != op(e1,e0)
| e4 = e2
| op(e1,e0) = e3 ),
inference(resolve,[$cnf( $equal(op(e1,e0),e2) )],[refute_0_619,refute_0_598]) ).
cnf(refute_0_621,plain,
( e4 != op(e1,e0)
| e4 = e2
| e4 = e3 ),
inference(resolve,[$cnf( $equal(op(e1,e0),e3) )],[refute_0_620,refute_0_601]) ).
cnf(refute_0_622,plain,
( e4 != op(e1,e0)
| e4 = e3 ),
inference(resolve,[$cnf( $equal(e4,e2) )],[refute_0_621,refute_0_274]) ).
cnf(refute_0_623,plain,
e4 != op(e1,e0),
inference(resolve,[$cnf( $equal(e4,e3) )],[refute_0_622,refute_0_189]) ).
cnf(refute_0_624,plain,
( e4 != e4
| op(e1,e0) != e4
| e4 = op(e1,e0) ),
introduced(tautology,[equality,[$cnf( ~ $equal(e4,op(e1,e0)) ),[1],$fot(e4)]]) ).
cnf(refute_0_625,plain,
( e4 != e4
| e4 = op(e1,e0)
| op(e1,e0) = e2
| op(e1,e0) = e3 ),
inference(resolve,[$cnf( $equal(op(e1,e0),e4) )],[refute_0_134,refute_0_624]) ).
cnf(refute_0_626,plain,
( e4 != e4
| op(e1,e0) = e2
| op(e1,e0) = e3 ),
inference(resolve,[$cnf( $equal(e4,op(e1,e0)) )],[refute_0_625,refute_0_623]) ).
cnf(refute_0_627,plain,
( op(e1,e0) = e2
| op(e1,e0) = e3 ),
inference(resolve,[$cnf( $equal(e4,e4) )],[refute_0_213,refute_0_626]) ).
cnf(refute_0_628,plain,
( op(e1,e0) != e2
| op(op(e0,e1),op(e1,e0)) != e1
| op(op(e0,e1),e2) = e1 ),
introduced(tautology,[equality,[$cnf( $equal(op(op(e0,e1),op(e1,e0)),e1) ),[0,1],$fot(e2)]]) ).
cnf(refute_0_629,plain,
( op(op(e0,e1),op(e1,e0)) != e1
| op(e1,e0) = e3
| op(op(e0,e1),e2) = e1 ),
inference(resolve,[$cnf( $equal(op(e1,e0),e2) )],[refute_0_627,refute_0_628]) ).
cnf(refute_0_630,plain,
( op(e1,e0) = e3
| op(op(e0,e1),e2) = e1 ),
inference(resolve,[$cnf( $equal(op(op(e0,e1),op(e1,e0)),e1) )],[refute_0_64,refute_0_629]) ).
cnf(refute_0_631,plain,
( e0 != op(e1,e2)
| e3 != op(op(e1,e2),e1)
| e4 != op(e1,op(op(e1,e2),e1)) ),
inference(canonicalize,[],[normalize_0_91]) ).
cnf(refute_0_632,plain,
( e3 != e3
| e3 != op(op(e1,e2),e1)
| op(op(e1,e2),e1) = e3 ),
introduced(tautology,[equality,[$cnf( $equal(e3,e3) ),[0],$fot(op(op(e1,e2),e1))]]) ).
cnf(refute_0_633,plain,
( e3 != op(op(e1,e2),e1)
| op(op(e1,e2),e1) = e3 ),
inference(resolve,[$cnf( $equal(e3,e3) )],[refute_0_408,refute_0_632]) ).
cnf(refute_0_634,plain,
op(e1,op(op(e1,e2),e1)) = op(e1,op(op(e1,e2),e1)),
introduced(tautology,[refl,[$fot(op(e1,op(op(e1,e2),e1)))]]) ).
cnf(refute_0_635,plain,
( op(e1,op(op(e1,e2),e1)) != op(e1,op(op(e1,e2),e1))
| op(op(e1,e2),e1) != e3
| op(e1,op(op(e1,e2),e1)) = op(e1,e3) ),
introduced(tautology,[equality,[$cnf( $equal(op(e1,op(op(e1,e2),e1)),op(e1,op(op(e1,e2),e1))) ),[1,1],$fot(e3)]]) ).
cnf(refute_0_636,plain,
( op(op(e1,e2),e1) != e3
| op(e1,op(op(e1,e2),e1)) = op(e1,e3) ),
inference(resolve,[$cnf( $equal(op(e1,op(op(e1,e2),e1)),op(e1,op(op(e1,e2),e1))) )],[refute_0_634,refute_0_635]) ).
cnf(refute_0_637,plain,
( e3 != op(op(e1,e2),e1)
| op(e1,op(op(e1,e2),e1)) = op(e1,e3) ),
inference(resolve,[$cnf( $equal(op(op(e1,e2),e1),e3) )],[refute_0_633,refute_0_636]) ).
cnf(refute_0_638,plain,
( e4 != op(e1,e3)
| op(e1,op(op(e1,e2),e1)) != op(e1,e3)
| e4 = op(e1,op(op(e1,e2),e1)) ),
introduced(tautology,[equality,[$cnf( ~ $equal(e4,op(e1,op(op(e1,e2),e1))) ),[1],$fot(op(e1,e3))]]) ).
cnf(refute_0_639,plain,
( e3 != op(op(e1,e2),e1)
| e4 != op(e1,e3)
| e4 = op(e1,op(op(e1,e2),e1)) ),
inference(resolve,[$cnf( $equal(op(e1,op(op(e1,e2),e1)),op(e1,e3)) )],[refute_0_637,refute_0_638]) ).
cnf(refute_0_640,plain,
( e0 != op(e1,e2)
| e3 != op(op(e1,e2),e1)
| e4 != op(e1,e3) ),
inference(resolve,[$cnf( $equal(e4,op(e1,op(op(e1,e2),e1))) )],[refute_0_639,refute_0_631]) ).
cnf(refute_0_641,plain,
( e0 != e0
| e0 != op(e1,e2)
| op(e1,e2) = e0 ),
introduced(tautology,[equality,[$cnf( $equal(e0,e0) ),[0],$fot(op(e1,e2))]]) ).
cnf(refute_0_642,plain,
( e0 != op(e1,e2)
| op(e1,e2) = e0 ),
inference(resolve,[$cnf( $equal(e0,e0) )],[refute_0_149,refute_0_641]) ).
cnf(refute_0_643,plain,
op(op(e1,e2),e1) = op(op(e1,e2),e1),
introduced(tautology,[refl,[$fot(op(op(e1,e2),e1))]]) ).
cnf(refute_0_644,plain,
( op(e1,e2) != e0
| op(op(e1,e2),e1) != op(op(e1,e2),e1)
| op(op(e1,e2),e1) = op(e0,e1) ),
introduced(tautology,[equality,[$cnf( $equal(op(op(e1,e2),e1),op(op(e1,e2),e1)) ),[1,0],$fot(e0)]]) ).
cnf(refute_0_645,plain,
( op(e1,e2) != e0
| op(op(e1,e2),e1) = op(e0,e1) ),
inference(resolve,[$cnf( $equal(op(op(e1,e2),e1),op(op(e1,e2),e1)) )],[refute_0_643,refute_0_644]) ).
cnf(refute_0_646,plain,
( e0 != op(e1,e2)
| op(op(e1,e2),e1) = op(e0,e1) ),
inference(resolve,[$cnf( $equal(op(e1,e2),e0) )],[refute_0_642,refute_0_645]) ).
cnf(refute_0_647,plain,
( e3 != op(e0,e1)
| op(op(e1,e2),e1) != op(e0,e1)
| e3 = op(op(e1,e2),e1) ),
introduced(tautology,[equality,[$cnf( ~ $equal(e3,op(op(e1,e2),e1)) ),[1],$fot(op(e0,e1))]]) ).
cnf(refute_0_648,plain,
( e0 != op(e1,e2)
| e3 != op(e0,e1)
| e3 = op(op(e1,e2),e1) ),
inference(resolve,[$cnf( $equal(op(op(e1,e2),e1),op(e0,e1)) )],[refute_0_646,refute_0_647]) ).
cnf(refute_0_649,plain,
( e0 != op(e1,e2)
| e3 != op(e0,e1)
| e4 != op(e1,e3) ),
inference(resolve,[$cnf( $equal(e3,op(op(e1,e2),e1)) )],[refute_0_648,refute_0_640]) ).
cnf(refute_0_650,plain,
( op(e1,e2) != e0
| op(e1,e3) != e0
| op(e1,e2) = op(e1,e3) ),
introduced(tautology,[equality,[$cnf( ~ $equal(op(e1,e2),op(e1,e3)) ),[1],$fot(e0)]]) ).
cnf(refute_0_651,plain,
( op(e1,e2) != e0
| op(e1,e2) = e3
| op(e1,e2) = op(e1,e3)
| op(e1,e3) = e4 ),
inference(resolve,[$cnf( $equal(op(e1,e3),e0) )],[refute_0_181,refute_0_650]) ).
cnf(refute_0_652,plain,
( op(e1,e2) != e0
| op(e1,e2) = e3
| op(e1,e3) = e4 ),
inference(resolve,[$cnf( $equal(op(e1,e2),op(e1,e3)) )],[refute_0_651,refute_0_159]) ).
cnf(refute_0_653,plain,
( op(e1,e2) != e0
| op(e1,e2) != e3
| e0 = e3 ),
introduced(tautology,[equality,[$cnf( $equal(op(e1,e2),e3) ),[0],$fot(e0)]]) ).
cnf(refute_0_654,plain,
( op(e1,e2) != e0
| e0 = e3
| op(e1,e3) = e4 ),
inference(resolve,[$cnf( $equal(op(e1,e2),e3) )],[refute_0_652,refute_0_653]) ).
cnf(refute_0_655,plain,
( op(e1,e2) != e0
| op(e1,e3) = e4 ),
inference(resolve,[$cnf( $equal(e0,e3) )],[refute_0_654,refute_0_97]) ).
cnf(refute_0_656,plain,
( e0 != e0
| op(e1,e2) != e0
| op(e1,e2) = e0 ),
introduced(tautology,[equality,[$cnf( $equal(op(e1,e2),e0) ),[1],$fot(e0)]]) ).
cnf(refute_0_657,plain,
( e0 != e0
| op(e1,e2) = e0
| op(e1,e2) = e3
| op(e1,e2) = e4 ),
inference(resolve,[$cnf( $equal(op(e1,e2),e0) )],[refute_0_209,refute_0_656]) ).
cnf(refute_0_658,plain,
( e0 != e0
| op(e1,e2) = e3
| op(e1,e2) = e4
| op(e1,e3) = e4 ),
inference(resolve,[$cnf( $equal(op(e1,e2),e0) )],[refute_0_657,refute_0_655]) ).
cnf(refute_0_659,plain,
( op(e1,e2) = e3
| op(e1,e2) = e4
| op(e1,e3) = e4 ),
inference(resolve,[$cnf( $equal(e0,e0) )],[refute_0_149,refute_0_658]) ).
cnf(refute_0_660,plain,
( e4 != e4
| op(e1,e3) != e4
| e4 = op(e1,e3) ),
introduced(tautology,[equality,[$cnf( ~ $equal(e4,op(e1,e3)) ),[1],$fot(e4)]]) ).
cnf(refute_0_661,plain,
( e4 != e4
| e4 = op(e1,e3)
| op(e1,e2) = e3
| op(e1,e2) = e4 ),
inference(resolve,[$cnf( $equal(op(e1,e3),e4) )],[refute_0_659,refute_0_660]) ).
cnf(refute_0_662,plain,
( e0 != op(e1,e2)
| e3 != op(e0,e1)
| e4 != e4
| op(e1,e2) = e3
| op(e1,e2) = e4 ),
inference(resolve,[$cnf( $equal(e4,op(e1,e3)) )],[refute_0_661,refute_0_649]) ).
cnf(refute_0_663,plain,
( e0 != op(e1,e2)
| e3 != op(e0,e1)
| op(e1,e2) = e3
| op(e1,e2) = e4 ),
inference(resolve,[$cnf( $equal(e4,e4) )],[refute_0_213,refute_0_662]) ).
cnf(refute_0_664,plain,
( e0 != op(e1,e2)
| op(e1,e2) != e3
| e0 = e3 ),
inference(resolve,[$cnf( $equal(op(e1,e2),e0) )],[refute_0_642,refute_0_653]) ).
cnf(refute_0_665,plain,
( e0 != op(e1,e2)
| e3 != op(e0,e1)
| e0 = e3
| op(e1,e2) = e4 ),
inference(resolve,[$cnf( $equal(op(e1,e2),e3) )],[refute_0_663,refute_0_664]) ).
cnf(refute_0_666,plain,
( op(e1,e2) != e0
| op(e1,e2) != e4
| e0 = e4 ),
introduced(tautology,[equality,[$cnf( $equal(op(e1,e2),e4) ),[0],$fot(e0)]]) ).
cnf(refute_0_667,plain,
( e0 != op(e1,e2)
| op(e1,e2) != e4
| e0 = e4 ),
inference(resolve,[$cnf( $equal(op(e1,e2),e0) )],[refute_0_642,refute_0_666]) ).
cnf(refute_0_668,plain,
( e0 != op(e1,e2)
| e3 != op(e0,e1)
| e0 = e3
| e0 = e4 ),
inference(resolve,[$cnf( $equal(op(e1,e2),e4) )],[refute_0_665,refute_0_667]) ).
cnf(refute_0_669,plain,
( e0 != op(e1,e2)
| e3 != op(e0,e1)
| e0 = e4 ),
inference(resolve,[$cnf( $equal(e0,e3) )],[refute_0_668,refute_0_97]) ).
cnf(refute_0_670,plain,
( e0 != op(e1,e2)
| e3 != op(e0,e1) ),
inference(resolve,[$cnf( $equal(e0,e4) )],[refute_0_669,refute_0_86]) ).
cnf(refute_0_671,plain,
op(e2,e0) != op(e2,e3),
inference(canonicalize,[],[normalize_0_92]) ).
cnf(refute_0_672,plain,
( op(e2,e3) != e0
| op(e2,op(e2,e3)) != e3
| op(e2,e0) = e3 ),
introduced(tautology,[equality,[$cnf( $equal(op(e2,op(e2,e3)),e3) ),[0,1],$fot(e0)]]) ).
cnf(refute_0_673,plain,
( op(e2,op(e2,e3)) != e3
| op(e2,e0) = e3
| op(e2,e3) = e1
| op(e2,e3) = e4 ),
inference(resolve,[$cnf( $equal(op(e2,e3),e0) )],[refute_0_456,refute_0_672]) ).
cnf(refute_0_674,plain,
( op(e2,e0) = e3
| op(e2,e3) = e1
| op(e2,e3) = e4 ),
inference(resolve,[$cnf( $equal(op(e2,op(e2,e3)),e3) )],[refute_0_279,refute_0_673]) ).
cnf(refute_0_675,plain,
( op(e2,e0) != e4
| op(e2,e3) != e4
| op(e2,e0) = op(e2,e3) ),
introduced(tautology,[equality,[$cnf( ~ $equal(op(e2,e0),op(e2,e3)) ),[1],$fot(e4)]]) ).
cnf(refute_0_676,plain,
( op(e2,e0) != e4
| op(e2,e0) = e3
| op(e2,e0) = op(e2,e3)
| op(e2,e3) = e1 ),
inference(resolve,[$cnf( $equal(op(e2,e3),e4) )],[refute_0_674,refute_0_675]) ).
cnf(refute_0_677,plain,
( op(e2,e0) != e4
| op(e2,e0) = e3
| op(e2,e3) = e1 ),
inference(resolve,[$cnf( $equal(op(e2,e0),op(e2,e3)) )],[refute_0_676,refute_0_671]) ).
cnf(refute_0_678,plain,
( op(e2,e0) != e3
| op(e2,e0) != e4
| e4 = e3 ),
introduced(tautology,[equality,[$cnf( $equal(op(e2,e0),e3) ),[0],$fot(e4)]]) ).
cnf(refute_0_679,plain,
( op(e2,e0) != e4
| e4 = e3
| op(e2,e3) = e1 ),
inference(resolve,[$cnf( $equal(op(e2,e0),e3) )],[refute_0_677,refute_0_678]) ).
cnf(refute_0_680,plain,
( op(e2,e0) != e4
| op(e2,e3) = e1 ),
inference(resolve,[$cnf( $equal(e4,e3) )],[refute_0_679,refute_0_189]) ).
cnf(refute_0_681,plain,
( e4 != e4
| op(e2,e0) != e4
| op(e2,e0) = e4 ),
introduced(tautology,[equality,[$cnf( $equal(op(e2,e0),e4) ),[1],$fot(e4)]]) ).
cnf(refute_0_682,plain,
( e4 != e4
| op(e1,e0) = e2
| op(e2,e0) = e1
| op(e2,e0) = e4 ),
inference(resolve,[$cnf( $equal(op(e2,e0),e4) )],[refute_0_580,refute_0_681]) ).
cnf(refute_0_683,plain,
( e4 != e4
| op(e1,e0) = e2
| op(e2,e0) = e1
| op(e2,e3) = e1 ),
inference(resolve,[$cnf( $equal(op(e2,e0),e4) )],[refute_0_682,refute_0_680]) ).
cnf(refute_0_684,plain,
( op(e1,e0) = e2
| op(e2,e0) = e1
| op(e2,e3) = e1 ),
inference(resolve,[$cnf( $equal(e4,e4) )],[refute_0_213,refute_0_683]) ).
cnf(refute_0_685,plain,
( op(e2,e3) != e1
| op(op(e3,e2),op(e2,e3)) != e2
| op(op(e3,e2),e1) = e2 ),
introduced(tautology,[equality,[$cnf( $equal(op(op(e3,e2),op(e2,e3)),e2) ),[0,1],$fot(e1)]]) ).
cnf(refute_0_686,plain,
( op(op(e3,e2),op(e2,e3)) != e2
| op(e1,e0) = e2
| op(e2,e0) = e1
| op(op(e3,e2),e1) = e2 ),
inference(resolve,[$cnf( $equal(op(e2,e3),e1) )],[refute_0_684,refute_0_685]) ).
cnf(refute_0_687,plain,
( op(e1,e0) = e2
| op(e2,e0) = e1
| op(op(e3,e2),e1) = e2 ),
inference(resolve,[$cnf( $equal(op(op(e3,e2),op(e2,e3)),e2) )],[refute_0_262,refute_0_686]) ).
cnf(refute_0_688,plain,
op(op(e2,e4),op(e4,e2)) = e4,
inference(canonicalize,[],[normalize_0_93]) ).
cnf(refute_0_689,plain,
op(e4,op(e4,e0)) = e0,
inference(canonicalize,[],[normalize_0_94]) ).
cnf(refute_0_690,plain,
( op(e4,e0) != e2
| op(e4,op(e4,e0)) != e0
| op(e4,e2) = e0 ),
introduced(tautology,[equality,[$cnf( $equal(op(e4,op(e4,e0)),e0) ),[0,1],$fot(e2)]]) ).
cnf(refute_0_691,plain,
( op(e4,op(e4,e0)) != e0
| op(e1,e0) = e2
| op(e3,e0) = e2
| op(e4,e2) = e0 ),
inference(resolve,[$cnf( $equal(op(e4,e0),e2) )],[refute_0_522,refute_0_690]) ).
cnf(refute_0_692,plain,
( op(e1,e0) = e2
| op(e3,e0) = e2
| op(e4,e2) = e0 ),
inference(resolve,[$cnf( $equal(op(e4,op(e4,e0)),e0) )],[refute_0_689,refute_0_691]) ).
cnf(refute_0_693,plain,
( op(e4,e2) != e0
| op(op(e2,e4),op(e4,e2)) != e4
| op(op(e2,e4),e0) = e4 ),
introduced(tautology,[equality,[$cnf( $equal(op(op(e2,e4),op(e4,e2)),e4) ),[0,1],$fot(e0)]]) ).
cnf(refute_0_694,plain,
( op(op(e2,e4),op(e4,e2)) != e4
| op(e1,e0) = e2
| op(e3,e0) = e2
| op(op(e2,e4),e0) = e4 ),
inference(resolve,[$cnf( $equal(op(e4,e2),e0) )],[refute_0_692,refute_0_693]) ).
cnf(refute_0_695,plain,
( op(e1,e0) = e2
| op(e3,e0) = e2
| op(op(e2,e4),e0) = e4 ),
inference(resolve,[$cnf( $equal(op(op(e2,e4),op(e4,e2)),e4) )],[refute_0_688,refute_0_694]) ).
cnf(refute_0_696,plain,
( op(e2,e0) != e4
| op(e2,op(e2,e0)) != e0
| op(e2,e4) = e0 ),
introduced(tautology,[equality,[$cnf( $equal(op(e2,op(e2,e0)),e0) ),[0,1],$fot(e4)]]) ).
cnf(refute_0_697,plain,
( op(e2,op(e2,e0)) != e0
| op(e1,e0) = e2
| op(e2,e0) = e1
| op(e2,e4) = e0 ),
inference(resolve,[$cnf( $equal(op(e2,e0),e4) )],[refute_0_580,refute_0_696]) ).
cnf(refute_0_698,plain,
( op(e1,e0) = e2
| op(e2,e0) = e1
| op(e2,e4) = e0 ),
inference(resolve,[$cnf( $equal(op(e2,op(e2,e0)),e0) )],[refute_0_258,refute_0_697]) ).
cnf(refute_0_699,plain,
( op(e2,e4) != e0
| op(op(e2,e4),e0) != e4
| op(e0,e0) = e4 ),
introduced(tautology,[equality,[$cnf( $equal(op(op(e2,e4),e0),e4) ),[0,0],$fot(e0)]]) ).
cnf(refute_0_700,plain,
( op(op(e2,e4),e0) != e4
| op(e0,e0) = e4
| op(e1,e0) = e2
| op(e2,e0) = e1 ),
inference(resolve,[$cnf( $equal(op(e2,e4),e0) )],[refute_0_698,refute_0_699]) ).
cnf(refute_0_701,plain,
( op(e0,e0) = e4
| op(e1,e0) = e2
| op(e2,e0) = e1
| op(e3,e0) = e2 ),
inference(resolve,[$cnf( $equal(op(op(e2,e4),e0),e4) )],[refute_0_695,refute_0_700]) ).
cnf(refute_0_702,plain,
( op(e0,e0) != e0
| op(e0,e0) != e4
| e0 = e4 ),
introduced(tautology,[equality,[$cnf( $equal(op(e0,e0),e4) ),[0],$fot(e0)]]) ).
cnf(refute_0_703,plain,
( op(e0,e0) != e4
| e0 = e4 ),
inference(resolve,[$cnf( $equal(op(e0,e0),e0) )],[refute_0_115,refute_0_702]) ).
cnf(refute_0_704,plain,
( e0 = e4
| op(e1,e0) = e2
| op(e2,e0) = e1
| op(e3,e0) = e2 ),
inference(resolve,[$cnf( $equal(op(e0,e0),e4) )],[refute_0_701,refute_0_703]) ).
cnf(refute_0_705,plain,
( op(e1,e0) = e2
| op(e2,e0) = e1
| op(e3,e0) = e2 ),
inference(resolve,[$cnf( $equal(e0,e4) )],[refute_0_704,refute_0_86]) ).
cnf(refute_0_706,plain,
( op(e3,op(e3,e0)) != e0
| op(e1,e0) = e2
| op(e2,e0) = e1
| op(e3,e2) = e0 ),
inference(resolve,[$cnf( $equal(op(e3,e0),e2) )],[refute_0_705,refute_0_571]) ).
cnf(refute_0_707,plain,
( op(e1,e0) = e2
| op(e2,e0) = e1
| op(e3,e2) = e0 ),
inference(resolve,[$cnf( $equal(op(e3,op(e3,e0)),e0) )],[refute_0_347,refute_0_706]) ).
cnf(refute_0_708,plain,
( op(e3,e2) != e0
| op(op(e3,e2),e1) != e2
| op(e0,e1) = e2 ),
introduced(tautology,[equality,[$cnf( $equal(op(op(e3,e2),e1),e2) ),[0,0],$fot(e0)]]) ).
cnf(refute_0_709,plain,
( op(op(e3,e2),e1) != e2
| op(e0,e1) = e2
| op(e1,e0) = e2
| op(e2,e0) = e1 ),
inference(resolve,[$cnf( $equal(op(e3,e2),e0) )],[refute_0_707,refute_0_708]) ).
cnf(refute_0_710,plain,
( op(e0,e1) = e2
| op(e1,e0) = e2
| op(e2,e0) = e1 ),
inference(resolve,[$cnf( $equal(op(op(e3,e2),e1),e2) )],[refute_0_687,refute_0_709]) ).
cnf(refute_0_711,plain,
( op(e2,op(e2,e0)) != e0
| op(e1,e0) = e2
| op(e2,e0) = e4
| op(e2,e1) = e0 ),
inference(resolve,[$cnf( $equal(op(e2,e0),e1) )],[refute_0_580,refute_0_589]) ).
cnf(refute_0_712,plain,
( op(e1,e0) = e2
| op(e2,e0) = e4
| op(e2,e1) = e0 ),
inference(resolve,[$cnf( $equal(op(e2,op(e2,e0)),e0) )],[refute_0_258,refute_0_711]) ).
cnf(refute_0_713,plain,
( op(e2,e1) != e0
| op(op(e2,e1),op(e1,e2)) != e1
| op(e0,op(e1,e2)) = e1 ),
introduced(tautology,[equality,[$cnf( $equal(op(op(e2,e1),op(e1,e2)),e1) ),[0,0],$fot(e0)]]) ).
cnf(refute_0_714,plain,
( op(op(e2,e1),op(e1,e2)) != e1
| op(e0,op(e1,e2)) = e1
| op(e1,e0) = e2
| op(e2,e0) = e4 ),
inference(resolve,[$cnf( $equal(op(e2,e1),e0) )],[refute_0_712,refute_0_713]) ).
cnf(refute_0_715,plain,
( op(e0,op(e1,e2)) = e1
| op(e1,e0) = e2
| op(e2,e0) = e4 ),
inference(resolve,[$cnf( $equal(op(op(e2,e1),op(e1,e2)),e1) )],[refute_0_3,refute_0_714]) ).
cnf(refute_0_716,plain,
( e3 != e3
| op(e1,e0) != e3
| op(e1,e0) = e3 ),
introduced(tautology,[equality,[$cnf( $equal(op(e1,e0),e3) ),[1],$fot(e3)]]) ).
cnf(refute_0_717,plain,
( e3 != e3
| op(e1,e0) = e2
| op(e1,e0) = e3 ),
inference(resolve,[$cnf( $equal(op(e1,e0),e3) )],[refute_0_627,refute_0_716]) ).
cnf(refute_0_718,plain,
( e3 != e3
| op(e1,e0) = e2
| op(e1,e2) = e4 ),
inference(resolve,[$cnf( $equal(op(e1,e0),e3) )],[refute_0_717,refute_0_240]) ).
cnf(refute_0_719,plain,
( op(e1,e0) = e2
| op(e1,e2) = e4 ),
inference(resolve,[$cnf( $equal(e3,e3) )],[refute_0_408,refute_0_718]) ).
cnf(refute_0_720,plain,
( op(e0,op(e1,e2)) != e1
| op(e1,e2) != e4
| op(e0,e4) = e1 ),
introduced(tautology,[equality,[$cnf( $equal(op(e0,op(e1,e2)),e1) ),[0,1],$fot(e4)]]) ).
cnf(refute_0_721,plain,
( op(e0,op(e1,e2)) != e1
| op(e0,e4) = e1
| op(e1,e0) = e2 ),
inference(resolve,[$cnf( $equal(op(e1,e2),e4) )],[refute_0_719,refute_0_720]) ).
cnf(refute_0_722,plain,
( op(e0,e4) = e1
| op(e1,e0) = e2
| op(e2,e0) = e4 ),
inference(resolve,[$cnf( $equal(op(e0,op(e1,e2)),e1) )],[refute_0_715,refute_0_721]) ).
cnf(refute_0_723,plain,
( op(e2,e0) != e1
| op(e2,e0) != e4
| e4 = e1 ),
introduced(tautology,[equality,[$cnf( $equal(op(e2,e0),e1) ),[0],$fot(e4)]]) ).
cnf(refute_0_724,plain,
( op(e2,e0) != e1
| e4 = e1
| op(e0,e4) = e1
| op(e1,e0) = e2 ),
inference(resolve,[$cnf( $equal(op(e2,e0),e4) )],[refute_0_722,refute_0_723]) ).
cnf(refute_0_725,plain,
( e4 = e1
| op(e0,e1) = e2
| op(e0,e4) = e1
| op(e1,e0) = e2 ),
inference(resolve,[$cnf( $equal(op(e2,e0),e1) )],[refute_0_710,refute_0_724]) ).
cnf(refute_0_726,plain,
( op(e0,e1) = e2
| op(e0,e4) = e1
| op(e1,e0) = e2 ),
inference(resolve,[$cnf( $equal(e4,e1) )],[refute_0_725,refute_0_19]) ).
cnf(refute_0_727,plain,
( op(e1,e0) != e2
| op(e1,op(e1,e0)) != e0
| op(e1,e2) = e0 ),
introduced(tautology,[equality,[$cnf( $equal(op(e1,op(e1,e0)),e0) ),[0,1],$fot(e2)]]) ).
cnf(refute_0_728,plain,
( op(e1,op(e1,e0)) != e0
| op(e0,e1) = e2
| op(e0,e4) = e1
| op(e1,e2) = e0 ),
inference(resolve,[$cnf( $equal(op(e1,e0),e2) )],[refute_0_726,refute_0_727]) ).
cnf(refute_0_729,plain,
( op(e0,e1) = e2
| op(e0,e4) = e1
| op(e1,e2) = e0 ),
inference(resolve,[$cnf( $equal(op(e1,op(e1,e0)),e0) )],[refute_0_69,refute_0_728]) ).
cnf(refute_0_730,plain,
( e0 != e0
| op(e1,e2) != e0
| e0 = op(e1,e2) ),
introduced(tautology,[equality,[$cnf( ~ $equal(e0,op(e1,e2)) ),[1],$fot(e0)]]) ).
cnf(refute_0_731,plain,
( e0 != e0
| e0 = op(e1,e2)
| op(e0,e1) = e2
| op(e0,e4) = e1 ),
inference(resolve,[$cnf( $equal(op(e1,e2),e0) )],[refute_0_729,refute_0_730]) ).
cnf(refute_0_732,plain,
( e0 != e0
| e3 != op(e0,e1)
| op(e0,e1) = e2
| op(e0,e4) = e1 ),
inference(resolve,[$cnf( $equal(e0,op(e1,e2)) )],[refute_0_731,refute_0_670]) ).
cnf(refute_0_733,plain,
( e3 != op(e0,e1)
| op(e0,e1) = e2
| op(e0,e4) = e1 ),
inference(resolve,[$cnf( $equal(e0,e0) )],[refute_0_149,refute_0_732]) ).
cnf(refute_0_734,plain,
( e3 != e3
| e3 != op(e0,e1)
| op(e0,e1) = e3 ),
introduced(tautology,[equality,[$cnf( $equal(e3,e3) ),[0],$fot(op(e0,e1))]]) ).
cnf(refute_0_735,plain,
( e3 != op(e0,e1)
| op(e0,e1) = e3 ),
inference(resolve,[$cnf( $equal(e3,e3) )],[refute_0_408,refute_0_734]) ).
cnf(refute_0_736,plain,
( op(e0,e1) != e2
| op(e0,e1) != e3
| e3 = e2 ),
introduced(tautology,[equality,[$cnf( $equal(op(e0,e1),e2) ),[0],$fot(e3)]]) ).
cnf(refute_0_737,plain,
( e3 != op(e0,e1)
| op(e0,e1) != e2
| e3 = e2 ),
inference(resolve,[$cnf( $equal(op(e0,e1),e3) )],[refute_0_735,refute_0_736]) ).
cnf(refute_0_738,plain,
( e3 != op(e0,e1)
| e3 = e2
| op(e0,e4) = e1 ),
inference(resolve,[$cnf( $equal(op(e0,e1),e2) )],[refute_0_733,refute_0_737]) ).
cnf(refute_0_739,plain,
( e3 != op(e0,e1)
| op(e0,e4) = e1 ),
inference(resolve,[$cnf( $equal(e3,e2) )],[refute_0_738,refute_0_239]) ).
cnf(refute_0_740,plain,
( e3 != e3
| op(e0,e1) != e3
| e3 = op(e0,e1) ),
introduced(tautology,[equality,[$cnf( ~ $equal(e3,op(e0,e1)) ),[1],$fot(e3)]]) ).
cnf(refute_0_741,plain,
( e3 != e3
| e3 = op(e0,e1)
| op(e0,e1) = e2
| op(e0,e1) = e4 ),
inference(resolve,[$cnf( $equal(op(e0,e1),e3) )],[refute_0_121,refute_0_740]) ).
cnf(refute_0_742,plain,
( e3 != e3
| op(e0,e1) = e2
| op(e0,e1) = e4
| op(e0,e4) = e1 ),
inference(resolve,[$cnf( $equal(e3,op(e0,e1)) )],[refute_0_741,refute_0_739]) ).
cnf(refute_0_743,plain,
( op(e0,e1) = e2
| op(e0,e1) = e4
| op(e0,e4) = e1 ),
inference(resolve,[$cnf( $equal(e3,e3) )],[refute_0_408,refute_0_742]) ).
cnf(refute_0_744,plain,
( op(e0,e4) != e1
| op(e0,op(e0,e4)) != e4
| op(e0,e1) = e4 ),
introduced(tautology,[equality,[$cnf( $equal(op(e0,op(e0,e4)),e4) ),[0,1],$fot(e1)]]) ).
cnf(refute_0_745,plain,
( op(e0,op(e0,e4)) != e4
| op(e0,e1) = e2
| op(e0,e1) = e4 ),
inference(resolve,[$cnf( $equal(op(e0,e4),e1) )],[refute_0_743,refute_0_744]) ).
cnf(refute_0_746,plain,
( op(e0,e1) = e2
| op(e0,e1) = e4 ),
inference(resolve,[$cnf( $equal(op(e0,op(e0,e4)),e4) )],[refute_0_82,refute_0_745]) ).
cnf(refute_0_747,plain,
( op(e0,e1) != e2
| op(op(e0,e1),e2) != e1
| op(e2,e2) = e1 ),
introduced(tautology,[equality,[$cnf( $equal(op(op(e0,e1),e2),e1) ),[0,0],$fot(e2)]]) ).
cnf(refute_0_748,plain,
( op(op(e0,e1),e2) != e1
| op(e0,e1) = e4
| op(e2,e2) = e1 ),
inference(resolve,[$cnf( $equal(op(e0,e1),e2) )],[refute_0_746,refute_0_747]) ).
cnf(refute_0_749,plain,
( op(e0,e1) = e4
| op(e1,e0) = e3
| op(e2,e2) = e1 ),
inference(resolve,[$cnf( $equal(op(op(e0,e1),e2),e1) )],[refute_0_630,refute_0_748]) ).
cnf(refute_0_750,plain,
( op(e2,e2) != e1
| op(e2,e2) != e2
| e2 = e1 ),
introduced(tautology,[equality,[$cnf( $equal(op(e2,e2),e1) ),[0],$fot(e2)]]) ).
cnf(refute_0_751,plain,
( op(e2,e2) != e1
| e2 = e1 ),
inference(resolve,[$cnf( $equal(op(e2,e2),e2) )],[refute_0_443,refute_0_750]) ).
cnf(refute_0_752,plain,
( e2 = e1
| op(e0,e1) = e4
| op(e1,e0) = e3 ),
inference(resolve,[$cnf( $equal(op(e2,e2),e1) )],[refute_0_749,refute_0_751]) ).
cnf(refute_0_753,plain,
( op(e0,e1) = e4
| op(e1,e0) = e3 ),
inference(resolve,[$cnf( $equal(e2,e1) )],[refute_0_752,refute_0_41]) ).
cnf(refute_0_754,plain,
( e3 != e3
| op(e0,e1) = e4
| op(e1,e0) = e3 ),
inference(resolve,[$cnf( $equal(op(e1,e0),e3) )],[refute_0_753,refute_0_716]) ).
cnf(refute_0_755,plain,
( e3 != e3
| op(e0,e1) = e4
| op(e1,e2) = e4 ),
inference(resolve,[$cnf( $equal(op(e1,e0),e3) )],[refute_0_754,refute_0_240]) ).
cnf(refute_0_756,plain,
( op(e0,e1) = e4
| op(e1,e2) = e4 ),
inference(resolve,[$cnf( $equal(e3,e3) )],[refute_0_408,refute_0_755]) ).
cnf(refute_0_757,plain,
( e4 != e4
| op(e1,e2) != e4
| e4 = op(e1,e2) ),
introduced(tautology,[equality,[$cnf( ~ $equal(e4,op(e1,e2)) ),[1],$fot(e4)]]) ).
cnf(refute_0_758,plain,
( e4 != e4
| e4 = op(e1,e2)
| op(e0,e1) = e4 ),
inference(resolve,[$cnf( $equal(op(e1,e2),e4) )],[refute_0_756,refute_0_757]) ).
cnf(refute_0_759,plain,
( e2 != op(e0,e1)
| e4 != e4
| op(e0,e1) = e4 ),
inference(resolve,[$cnf( $equal(e4,op(e1,e2)) )],[refute_0_758,refute_0_227]) ).
cnf(refute_0_760,plain,
( e2 != op(e0,e1)
| op(e0,e1) = e4 ),
inference(resolve,[$cnf( $equal(e4,e4) )],[refute_0_213,refute_0_759]) ).
cnf(refute_0_761,plain,
( e2 != e2
| e2 != op(e0,e1)
| op(e0,e1) = e2 ),
introduced(tautology,[equality,[$cnf( $equal(e2,e2) ),[0],$fot(op(e0,e1))]]) ).
cnf(refute_0_762,plain,
( e2 != op(e0,e1)
| op(e0,e1) = e2 ),
inference(resolve,[$cnf( $equal(e2,e2) )],[refute_0_139,refute_0_761]) ).
cnf(refute_0_763,plain,
( op(e0,e1) != e2
| op(e0,e1) != e4
| e2 = e4 ),
introduced(tautology,[equality,[$cnf( $equal(op(e0,e1),e4) ),[0],$fot(e2)]]) ).
cnf(refute_0_764,plain,
( e2 != op(e0,e1)
| op(e0,e1) != e4
| e2 = e4 ),
inference(resolve,[$cnf( $equal(op(e0,e1),e2) )],[refute_0_762,refute_0_763]) ).
cnf(refute_0_765,plain,
( e2 != op(e0,e1)
| e2 = e4 ),
inference(resolve,[$cnf( $equal(op(e0,e1),e4) )],[refute_0_760,refute_0_764]) ).
cnf(refute_0_766,plain,
e2 != op(e0,e1),
inference(resolve,[$cnf( $equal(e2,e4) )],[refute_0_765,refute_0_272]) ).
cnf(refute_0_767,plain,
( e2 != e2
| op(e0,e1) != e2
| e2 = op(e0,e1) ),
introduced(tautology,[equality,[$cnf( ~ $equal(e2,op(e0,e1)) ),[1],$fot(e2)]]) ).
cnf(refute_0_768,plain,
( e2 != e2
| e2 = op(e0,e1)
| op(e0,e1) = e4 ),
inference(resolve,[$cnf( $equal(op(e0,e1),e2) )],[refute_0_746,refute_0_767]) ).
cnf(refute_0_769,plain,
( e2 != e2
| op(e0,e1) = e4 ),
inference(resolve,[$cnf( $equal(e2,op(e0,e1)) )],[refute_0_768,refute_0_766]) ).
cnf(refute_0_770,plain,
op(e0,e1) = e4,
inference(resolve,[$cnf( $equal(e2,e2) )],[refute_0_139,refute_0_769]) ).
cnf(refute_0_771,plain,
op(e3,op(e0,e1)) = op(e3,op(e0,e1)),
introduced(tautology,[refl,[$fot(op(e3,op(e0,e1)))]]) ).
cnf(refute_0_772,plain,
( op(e0,e1) != e4
| op(e3,op(e0,e1)) != op(e3,op(e0,e1))
| op(e3,op(e0,e1)) = op(e3,e4) ),
introduced(tautology,[equality,[$cnf( $equal(op(e3,op(e0,e1)),op(e3,op(e0,e1))) ),[1,1],$fot(e4)]]) ).
cnf(refute_0_773,plain,
( op(e0,e1) != e4
| op(e3,op(e0,e1)) = op(e3,e4) ),
inference(resolve,[$cnf( $equal(op(e3,op(e0,e1)),op(e3,op(e0,e1))) )],[refute_0_771,refute_0_772]) ).
cnf(refute_0_774,plain,
op(e3,op(e0,e1)) = op(e3,e4),
inference(resolve,[$cnf( $equal(op(e0,e1),e4) )],[refute_0_770,refute_0_773]) ).
cnf(refute_0_775,plain,
( op(e3,op(e0,e1)) != e0
| op(e3,op(e0,e1)) != op(e3,e4)
| op(e3,e4) = e0 ),
introduced(tautology,[equality,[$cnf( $equal(op(e3,op(e0,e1)),e0) ),[0],$fot(op(e3,e4))]]) ).
cnf(refute_0_776,plain,
( op(e3,op(e0,e1)) != e0
| op(e3,e4) = e0 ),
inference(resolve,[$cnf( $equal(op(e3,op(e0,e1)),op(e3,e4)) )],[refute_0_774,refute_0_775]) ).
cnf(refute_0_777,plain,
( op(e1,e0) = e2
| op(e1,e0) = e4
| op(e3,e4) = e0 ),
inference(resolve,[$cnf( $equal(op(e3,op(e0,e1)),e0) )],[refute_0_137,refute_0_776]) ).
cnf(refute_0_778,plain,
( e1 != op(e0,e4)
| e2 != op(op(e0,e4),e0)
| e3 != op(e0,op(op(e0,e4),e0)) ),
inference(canonicalize,[],[normalize_0_95]) ).
cnf(refute_0_779,plain,
( e2 != e2
| e2 != op(op(e0,e4),e0)
| op(op(e0,e4),e0) = e2 ),
introduced(tautology,[equality,[$cnf( $equal(e2,e2) ),[0],$fot(op(op(e0,e4),e0))]]) ).
cnf(refute_0_780,plain,
( e2 != op(op(e0,e4),e0)
| op(op(e0,e4),e0) = e2 ),
inference(resolve,[$cnf( $equal(e2,e2) )],[refute_0_139,refute_0_779]) ).
cnf(refute_0_781,plain,
op(e0,op(op(e0,e4),e0)) = op(e0,op(op(e0,e4),e0)),
introduced(tautology,[refl,[$fot(op(e0,op(op(e0,e4),e0)))]]) ).
cnf(refute_0_782,plain,
( op(e0,op(op(e0,e4),e0)) != op(e0,op(op(e0,e4),e0))
| op(op(e0,e4),e0) != e2
| op(e0,op(op(e0,e4),e0)) = op(e0,e2) ),
introduced(tautology,[equality,[$cnf( $equal(op(e0,op(op(e0,e4),e0)),op(e0,op(op(e0,e4),e0))) ),[1,1],$fot(e2)]]) ).
cnf(refute_0_783,plain,
( op(op(e0,e4),e0) != e2
| op(e0,op(op(e0,e4),e0)) = op(e0,e2) ),
inference(resolve,[$cnf( $equal(op(e0,op(op(e0,e4),e0)),op(e0,op(op(e0,e4),e0))) )],[refute_0_781,refute_0_782]) ).
cnf(refute_0_784,plain,
( e2 != op(op(e0,e4),e0)
| op(e0,op(op(e0,e4),e0)) = op(e0,e2) ),
inference(resolve,[$cnf( $equal(op(op(e0,e4),e0),e2) )],[refute_0_780,refute_0_783]) ).
cnf(refute_0_785,plain,
( e3 != op(e0,e2)
| op(e0,op(op(e0,e4),e0)) != op(e0,e2)
| e3 = op(e0,op(op(e0,e4),e0)) ),
introduced(tautology,[equality,[$cnf( ~ $equal(e3,op(e0,op(op(e0,e4),e0))) ),[1],$fot(op(e0,e2))]]) ).
cnf(refute_0_786,plain,
( e2 != op(op(e0,e4),e0)
| e3 != op(e0,e2)
| e3 = op(e0,op(op(e0,e4),e0)) ),
inference(resolve,[$cnf( $equal(op(e0,op(op(e0,e4),e0)),op(e0,e2)) )],[refute_0_784,refute_0_785]) ).
cnf(refute_0_787,plain,
( e1 != op(e0,e4)
| e2 != op(op(e0,e4),e0)
| e3 != op(e0,e2) ),
inference(resolve,[$cnf( $equal(e3,op(e0,op(op(e0,e4),e0))) )],[refute_0_786,refute_0_778]) ).
cnf(refute_0_788,plain,
( e1 != e1
| e1 != op(e0,e4)
| op(e0,e4) = e1 ),
introduced(tautology,[equality,[$cnf( $equal(e1,e1) ),[0],$fot(op(e0,e4))]]) ).
cnf(refute_0_789,plain,
( e1 != op(e0,e4)
| op(e0,e4) = e1 ),
inference(resolve,[$cnf( $equal(e1,e1) )],[refute_0_61,refute_0_788]) ).
cnf(refute_0_790,plain,
op(op(e0,e4),e0) = op(op(e0,e4),e0),
introduced(tautology,[refl,[$fot(op(op(e0,e4),e0))]]) ).
cnf(refute_0_791,plain,
( op(e0,e4) != e1
| op(op(e0,e4),e0) != op(op(e0,e4),e0)
| op(op(e0,e4),e0) = op(e1,e0) ),
introduced(tautology,[equality,[$cnf( $equal(op(op(e0,e4),e0),op(op(e0,e4),e0)) ),[1,0],$fot(e1)]]) ).
cnf(refute_0_792,plain,
( op(e0,e4) != e1
| op(op(e0,e4),e0) = op(e1,e0) ),
inference(resolve,[$cnf( $equal(op(op(e0,e4),e0),op(op(e0,e4),e0)) )],[refute_0_790,refute_0_791]) ).
cnf(refute_0_793,plain,
( e1 != op(e0,e4)
| op(op(e0,e4),e0) = op(e1,e0) ),
inference(resolve,[$cnf( $equal(op(e0,e4),e1) )],[refute_0_789,refute_0_792]) ).
cnf(refute_0_794,plain,
( e2 != op(e1,e0)
| op(op(e0,e4),e0) != op(e1,e0)
| e2 = op(op(e0,e4),e0) ),
introduced(tautology,[equality,[$cnf( ~ $equal(e2,op(op(e0,e4),e0)) ),[1],$fot(op(e1,e0))]]) ).
cnf(refute_0_795,plain,
( e1 != op(e0,e4)
| e2 != op(e1,e0)
| e2 = op(op(e0,e4),e0) ),
inference(resolve,[$cnf( $equal(op(op(e0,e4),e0),op(e1,e0)) )],[refute_0_793,refute_0_794]) ).
cnf(refute_0_796,plain,
( e1 != op(e0,e4)
| e2 != op(e1,e0)
| e3 != op(e0,e2) ),
inference(resolve,[$cnf( $equal(e2,op(op(e0,e4),e0)) )],[refute_0_795,refute_0_787]) ).
cnf(refute_0_797,plain,
( op(e0,e2) != e1
| op(e0,op(e0,e2)) != e2
| op(e0,e1) = e2 ),
introduced(tautology,[equality,[$cnf( $equal(op(e0,op(e0,e2)),e2) ),[0,1],$fot(e1)]]) ).
cnf(refute_0_798,plain,
( op(e0,op(e0,e2)) != e2
| op(e0,e1) = e2
| op(e0,e2) = e3
| op(e0,e2) = e4 ),
inference(resolve,[$cnf( $equal(op(e0,e2),e1) )],[refute_0_327,refute_0_797]) ).
cnf(refute_0_799,plain,
( op(e0,e1) = e2
| op(e0,e2) = e3
| op(e0,e2) = e4 ),
inference(resolve,[$cnf( $equal(op(e0,op(e0,e2)),e2) )],[refute_0_104,refute_0_798]) ).
cnf(refute_0_800,plain,
( op(e0,e1) != e4
| op(e0,e2) != e4
| op(e0,e1) = op(e0,e2) ),
introduced(tautology,[equality,[$cnf( ~ $equal(op(e0,e1),op(e0,e2)) ),[1],$fot(e4)]]) ).
cnf(refute_0_801,plain,
( op(e0,e1) != e4
| op(e0,e1) = e2
| op(e0,e1) = op(e0,e2)
| op(e0,e2) = e3 ),
inference(resolve,[$cnf( $equal(op(e0,e2),e4) )],[refute_0_799,refute_0_800]) ).
cnf(refute_0_802,plain,
( op(e0,e1) != e4
| op(e0,e1) = e2
| op(e0,e2) = e3 ),
inference(resolve,[$cnf( $equal(op(e0,e1),op(e0,e2)) )],[refute_0_801,refute_0_63]) ).
cnf(refute_0_803,plain,
( op(e0,e1) != e2
| op(e0,e1) != e4
| e4 = e2 ),
introduced(tautology,[equality,[$cnf( $equal(op(e0,e1),e2) ),[0],$fot(e4)]]) ).
cnf(refute_0_804,plain,
( op(e0,e1) != e4
| e4 = e2
| op(e0,e2) = e3 ),
inference(resolve,[$cnf( $equal(op(e0,e1),e2) )],[refute_0_802,refute_0_803]) ).
cnf(refute_0_805,plain,
( op(e0,e1) != e4
| op(e0,e2) = e3 ),
inference(resolve,[$cnf( $equal(e4,e2) )],[refute_0_804,refute_0_274]) ).
cnf(refute_0_806,plain,
( e4 != e4
| op(e0,e1) != e4
| op(e0,e1) = e4 ),
introduced(tautology,[equality,[$cnf( $equal(op(e0,e1),e4) ),[1],$fot(e4)]]) ).
cnf(refute_0_807,plain,
( e4 != e4
| op(e0,e1) = e4 ),
inference(resolve,[$cnf( $equal(op(e0,e1),e4) )],[refute_0_770,refute_0_806]) ).
cnf(refute_0_808,plain,
( e4 != e4
| op(e0,e2) = e3 ),
inference(resolve,[$cnf( $equal(op(e0,e1),e4) )],[refute_0_807,refute_0_805]) ).
cnf(refute_0_809,plain,
op(e0,e2) = e3,
inference(resolve,[$cnf( $equal(e4,e4) )],[refute_0_213,refute_0_808]) ).
cnf(refute_0_810,plain,
( e3 != e3
| op(e0,e2) != e3
| e3 = op(e0,e2) ),
introduced(tautology,[equality,[$cnf( ~ $equal(e3,op(e0,e2)) ),[1],$fot(e3)]]) ).
cnf(refute_0_811,plain,
( e3 != e3
| e3 = op(e0,e2) ),
inference(resolve,[$cnf( $equal(op(e0,e2),e3) )],[refute_0_809,refute_0_810]) ).
cnf(refute_0_812,plain,
( e1 != op(e0,e4)
| e2 != op(e1,e0)
| e3 != e3 ),
inference(resolve,[$cnf( $equal(e3,op(e0,e2)) )],[refute_0_811,refute_0_796]) ).
cnf(refute_0_813,plain,
op(e0,op(e0,e1)) = op(e0,op(e0,e1)),
introduced(tautology,[refl,[$fot(op(e0,op(e0,e1)))]]) ).
cnf(refute_0_814,plain,
( op(e0,e1) != e4
| op(e0,op(e0,e1)) != op(e0,op(e0,e1))
| op(e0,op(e0,e1)) = op(e0,e4) ),
introduced(tautology,[equality,[$cnf( $equal(op(e0,op(e0,e1)),op(e0,op(e0,e1))) ),[1,1],$fot(e4)]]) ).
cnf(refute_0_815,plain,
( op(e0,e1) != e4
| op(e0,op(e0,e1)) = op(e0,e4) ),
inference(resolve,[$cnf( $equal(op(e0,op(e0,e1)),op(e0,op(e0,e1))) )],[refute_0_813,refute_0_814]) ).
cnf(refute_0_816,plain,
op(e0,op(e0,e1)) = op(e0,e4),
inference(resolve,[$cnf( $equal(op(e0,e1),e4) )],[refute_0_770,refute_0_815]) ).
cnf(refute_0_817,plain,
( op(e0,op(e0,e1)) != e1
| op(e0,op(e0,e1)) != op(e0,e4)
| op(e0,e4) = e1 ),
introduced(tautology,[equality,[$cnf( $equal(op(e0,op(e0,e1)),e1) ),[0],$fot(op(e0,e4))]]) ).
cnf(refute_0_818,plain,
( op(e0,op(e0,e1)) != e1
| op(e0,e4) = e1 ),
inference(resolve,[$cnf( $equal(op(e0,op(e0,e1)),op(e0,e4)) )],[refute_0_816,refute_0_817]) ).
cnf(refute_0_819,plain,
op(e0,e4) = e1,
inference(resolve,[$cnf( $equal(op(e0,op(e0,e1)),e1) )],[refute_0_50,refute_0_818]) ).
cnf(refute_0_820,plain,
( e1 != e1
| op(e0,e4) != e1
| e1 = op(e0,e4) ),
introduced(tautology,[equality,[$cnf( ~ $equal(e1,op(e0,e4)) ),[1],$fot(e1)]]) ).
cnf(refute_0_821,plain,
( e1 != e1
| e1 = op(e0,e4) ),
inference(resolve,[$cnf( $equal(op(e0,e4),e1) )],[refute_0_819,refute_0_820]) ).
cnf(refute_0_822,plain,
( e1 != e1
| e2 != op(e1,e0)
| e3 != e3 ),
inference(resolve,[$cnf( $equal(e1,op(e0,e4)) )],[refute_0_821,refute_0_812]) ).
cnf(refute_0_823,plain,
( e2 != op(e1,e0)
| e3 != e3 ),
inference(resolve,[$cnf( $equal(e1,e1) )],[refute_0_61,refute_0_822]) ).
cnf(refute_0_824,plain,
e2 != op(e1,e0),
inference(resolve,[$cnf( $equal(e3,e3) )],[refute_0_408,refute_0_823]) ).
cnf(refute_0_825,plain,
( op(e1,e0) != e2
| e2 = op(e1,e0) ),
inference(subst,[],[refute_0_17:[bind(X,$fot(op(e1,e0))),bind(Y,$fot(e2))]]) ).
cnf(refute_0_826,plain,
op(e1,e0) != e2,
inference(resolve,[$cnf( $equal(e2,op(e1,e0)) )],[refute_0_825,refute_0_824]) ).
cnf(refute_0_827,plain,
( op(e1,e0) = e4
| op(e3,e4) = e0 ),
inference(resolve,[$cnf( $equal(op(e1,e0),e2) )],[refute_0_777,refute_0_826]) ).
cnf(refute_0_828,plain,
( op(e1,e0) != e4
| e4 = op(e1,e0) ),
inference(subst,[],[refute_0_17:[bind(X,$fot(op(e1,e0))),bind(Y,$fot(e4))]]) ).
cnf(refute_0_829,plain,
op(e1,e0) != e4,
inference(resolve,[$cnf( $equal(e4,op(e1,e0)) )],[refute_0_828,refute_0_623]) ).
cnf(refute_0_830,plain,
op(e3,e4) = e0,
inference(resolve,[$cnf( $equal(op(e1,e0),e4) )],[refute_0_827,refute_0_829]) ).
cnf(refute_0_831,plain,
( op(e1,e0) != e2
| op(op(e1,e0),op(e0,e1)) != e0
| op(e2,op(e0,e1)) = e0 ),
introduced(tautology,[equality,[$cnf( $equal(op(op(e1,e0),op(e0,e1)),e0) ),[0,0],$fot(e2)]]) ).
cnf(refute_0_832,plain,
( op(op(e1,e0),op(e0,e1)) != e0
| op(e1,e0) = e3
| op(e1,e0) = e4
| op(e2,op(e0,e1)) = e0 ),
inference(resolve,[$cnf( $equal(op(e1,e0),e2) )],[refute_0_134,refute_0_831]) ).
cnf(refute_0_833,plain,
( op(e1,e0) = e3
| op(e1,e0) = e4
| op(e2,op(e0,e1)) = e0 ),
inference(resolve,[$cnf( $equal(op(op(e1,e0),op(e0,e1)),e0) )],[refute_0_1,refute_0_832]) ).
cnf(refute_0_834,plain,
op(e2,op(e0,e1)) = op(e2,op(e0,e1)),
introduced(tautology,[refl,[$fot(op(e2,op(e0,e1)))]]) ).
cnf(refute_0_835,plain,
( op(e0,e1) != e4
| op(e2,op(e0,e1)) != op(e2,op(e0,e1))
| op(e2,op(e0,e1)) = op(e2,e4) ),
introduced(tautology,[equality,[$cnf( $equal(op(e2,op(e0,e1)),op(e2,op(e0,e1))) ),[1,1],$fot(e4)]]) ).
cnf(refute_0_836,plain,
( op(e0,e1) != e4
| op(e2,op(e0,e1)) = op(e2,e4) ),
inference(resolve,[$cnf( $equal(op(e2,op(e0,e1)),op(e2,op(e0,e1))) )],[refute_0_834,refute_0_835]) ).
cnf(refute_0_837,plain,
op(e2,op(e0,e1)) = op(e2,e4),
inference(resolve,[$cnf( $equal(op(e0,e1),e4) )],[refute_0_770,refute_0_836]) ).
cnf(refute_0_838,plain,
( op(e2,op(e0,e1)) != e0
| op(e2,op(e0,e1)) != op(e2,e4)
| op(e2,e4) = e0 ),
introduced(tautology,[equality,[$cnf( $equal(op(e2,op(e0,e1)),e0) ),[0],$fot(op(e2,e4))]]) ).
cnf(refute_0_839,plain,
( op(e2,op(e0,e1)) != e0
| op(e2,e4) = e0 ),
inference(resolve,[$cnf( $equal(op(e2,op(e0,e1)),op(e2,e4)) )],[refute_0_837,refute_0_838]) ).
cnf(refute_0_840,plain,
( op(e1,e0) = e3
| op(e1,e0) = e4
| op(e2,e4) = e0 ),
inference(resolve,[$cnf( $equal(op(e2,op(e0,e1)),e0) )],[refute_0_833,refute_0_839]) ).
cnf(refute_0_841,plain,
( e1 != op(e0,e4)
| e2 != op(e0,op(op(e0,e4),e0))
| e3 != op(op(e0,e4),e0) ),
inference(canonicalize,[],[normalize_0_96]) ).
cnf(refute_0_842,plain,
( e3 != op(e1,e0)
| op(op(e0,e4),e0) != op(e1,e0)
| e3 = op(op(e0,e4),e0) ),
introduced(tautology,[equality,[$cnf( ~ $equal(e3,op(op(e0,e4),e0)) ),[1],$fot(op(e1,e0))]]) ).
cnf(refute_0_843,plain,
( e1 != op(e0,e4)
| e3 != op(e1,e0)
| e3 = op(op(e0,e4),e0) ),
inference(resolve,[$cnf( $equal(op(op(e0,e4),e0),op(e1,e0)) )],[refute_0_793,refute_0_842]) ).
cnf(refute_0_844,plain,
( e1 != op(e0,e4)
| e2 != op(e0,op(op(e0,e4),e0))
| e3 != op(e1,e0) ),
inference(resolve,[$cnf( $equal(e3,op(op(e0,e4),e0)) )],[refute_0_843,refute_0_841]) ).
cnf(refute_0_845,plain,
( e3 != e3
| e3 != op(e1,e0)
| op(e1,e0) = e3 ),
introduced(tautology,[equality,[$cnf( $equal(e3,e3) ),[0],$fot(op(e1,e0))]]) ).
cnf(refute_0_846,plain,
( e3 != op(e1,e0)
| op(e1,e0) = e3 ),
inference(resolve,[$cnf( $equal(e3,e3) )],[refute_0_408,refute_0_845]) ).
cnf(refute_0_847,plain,
( Y != X
| Y != Z
| X = Z ),
introduced(tautology,[equality,[$cnf( $equal(Y,Z) ),[0],$fot(X)]]) ).
cnf(refute_0_848,plain,
( X != Y
| Y != Z
| X = Z ),
inference(resolve,[$cnf( $equal(Y,X) )],[refute_0_17,refute_0_847]) ).
cnf(refute_0_849,plain,
( op(e1,e0) != e3
| op(op(e0,e4),e0) != op(e1,e0)
| op(op(e0,e4),e0) = e3 ),
inference(subst,[],[refute_0_848:[bind(X,$fot(op(op(e0,e4),e0))),bind(Y,$fot(op(e1,e0))),bind(Z,$fot(e3))]]) ).
cnf(refute_0_850,plain,
( e1 != op(e0,e4)
| op(e1,e0) != e3
| op(op(e0,e4),e0) = e3 ),
inference(resolve,[$cnf( $equal(op(op(e0,e4),e0),op(e1,e0)) )],[refute_0_793,refute_0_849]) ).
cnf(refute_0_851,plain,
( e1 != op(e0,e4)
| e3 != op(e1,e0)
| op(op(e0,e4),e0) = e3 ),
inference(resolve,[$cnf( $equal(op(e1,e0),e3) )],[refute_0_846,refute_0_850]) ).
cnf(refute_0_852,plain,
( op(e0,op(op(e0,e4),e0)) != op(e0,op(op(e0,e4),e0))
| op(op(e0,e4),e0) != e3
| op(e0,op(op(e0,e4),e0)) = op(e0,e3) ),
introduced(tautology,[equality,[$cnf( $equal(op(e0,op(op(e0,e4),e0)),op(e0,op(op(e0,e4),e0))) ),[1,1],$fot(e3)]]) ).
cnf(refute_0_853,plain,
( op(op(e0,e4),e0) != e3
| op(e0,op(op(e0,e4),e0)) = op(e0,e3) ),
inference(resolve,[$cnf( $equal(op(e0,op(op(e0,e4),e0)),op(e0,op(op(e0,e4),e0))) )],[refute_0_781,refute_0_852]) ).
cnf(refute_0_854,plain,
( e1 != op(e0,e4)
| e3 != op(e1,e0)
| op(e0,op(op(e0,e4),e0)) = op(e0,e3) ),
inference(resolve,[$cnf( $equal(op(op(e0,e4),e0),e3) )],[refute_0_851,refute_0_853]) ).
cnf(refute_0_855,plain,
( e2 != op(e0,e3)
| op(e0,op(op(e0,e4),e0)) != op(e0,e3)
| e2 = op(e0,op(op(e0,e4),e0)) ),
introduced(tautology,[equality,[$cnf( ~ $equal(e2,op(e0,op(op(e0,e4),e0))) ),[1],$fot(op(e0,e3))]]) ).
cnf(refute_0_856,plain,
( e1 != op(e0,e4)
| e2 != op(e0,e3)
| e3 != op(e1,e0)
| e2 = op(e0,op(op(e0,e4),e0)) ),
inference(resolve,[$cnf( $equal(op(e0,op(op(e0,e4),e0)),op(e0,e3)) )],[refute_0_854,refute_0_855]) ).
cnf(refute_0_857,plain,
( e1 != op(e0,e4)
| e2 != op(e0,e3)
| e3 != op(e1,e0) ),
inference(resolve,[$cnf( $equal(e2,op(e0,op(op(e0,e4),e0))) )],[refute_0_856,refute_0_844]) ).
cnf(refute_0_858,plain,
op(e0,e1) != op(e0,e3),
inference(canonicalize,[],[normalize_0_97]) ).
cnf(refute_0_859,plain,
( op(e0,e3) != e1
| op(e0,op(e0,e3)) != e3
| op(e0,e1) = e3 ),
introduced(tautology,[equality,[$cnf( $equal(op(e0,op(e0,e3)),e3) ),[0,1],$fot(e1)]]) ).
cnf(refute_0_860,plain,
( op(e0,op(e0,e3)) != e3
| op(e0,e1) = e3
| op(e0,e3) = e2
| op(e0,e3) = e4 ),
inference(resolve,[$cnf( $equal(op(e0,e3),e1) )],[refute_0_426,refute_0_859]) ).
cnf(refute_0_861,plain,
( op(e0,e1) = e3
| op(e0,e3) = e2
| op(e0,e3) = e4 ),
inference(resolve,[$cnf( $equal(op(e0,op(e0,e3)),e3) )],[refute_0_93,refute_0_860]) ).
cnf(refute_0_862,plain,
( op(e0,e1) != e4
| op(e0,e3) != e4
| op(e0,e1) = op(e0,e3) ),
introduced(tautology,[equality,[$cnf( ~ $equal(op(e0,e1),op(e0,e3)) ),[1],$fot(e4)]]) ).
cnf(refute_0_863,plain,
( op(e0,e1) != e4
| op(e0,e1) = e3
| op(e0,e1) = op(e0,e3)
| op(e0,e3) = e2 ),
inference(resolve,[$cnf( $equal(op(e0,e3),e4) )],[refute_0_861,refute_0_862]) ).
cnf(refute_0_864,plain,
( op(e0,e1) != e4
| op(e0,e1) = e3
| op(e0,e3) = e2 ),
inference(resolve,[$cnf( $equal(op(e0,e1),op(e0,e3)) )],[refute_0_863,refute_0_858]) ).
cnf(refute_0_865,plain,
( op(e0,e1) != e3
| op(e0,e1) != e4
| e4 = e3 ),
introduced(tautology,[equality,[$cnf( $equal(op(e0,e1),e3) ),[0],$fot(e4)]]) ).
cnf(refute_0_866,plain,
( op(e0,e1) != e4
| e4 = e3
| op(e0,e3) = e2 ),
inference(resolve,[$cnf( $equal(op(e0,e1),e3) )],[refute_0_864,refute_0_865]) ).
cnf(refute_0_867,plain,
( op(e0,e1) != e4
| op(e0,e3) = e2 ),
inference(resolve,[$cnf( $equal(e4,e3) )],[refute_0_866,refute_0_189]) ).
cnf(refute_0_868,plain,
( e4 != e4
| op(e0,e3) = e2 ),
inference(resolve,[$cnf( $equal(op(e0,e1),e4) )],[refute_0_807,refute_0_867]) ).
cnf(refute_0_869,plain,
op(e0,e3) = e2,
inference(resolve,[$cnf( $equal(e4,e4) )],[refute_0_213,refute_0_868]) ).
cnf(refute_0_870,plain,
( e2 != e2
| op(e0,e3) != e2
| e2 = op(e0,e3) ),
introduced(tautology,[equality,[$cnf( ~ $equal(e2,op(e0,e3)) ),[1],$fot(e2)]]) ).
cnf(refute_0_871,plain,
( e2 != e2
| e2 = op(e0,e3) ),
inference(resolve,[$cnf( $equal(op(e0,e3),e2) )],[refute_0_869,refute_0_870]) ).
cnf(refute_0_872,plain,
( e1 != op(e0,e4)
| e2 != e2
| e3 != op(e1,e0) ),
inference(resolve,[$cnf( $equal(e2,op(e0,e3)) )],[refute_0_871,refute_0_857]) ).
cnf(refute_0_873,plain,
( e1 != e1
| e2 != e2
| e3 != op(e1,e0) ),
inference(resolve,[$cnf( $equal(e1,op(e0,e4)) )],[refute_0_821,refute_0_872]) ).
cnf(refute_0_874,plain,
( e2 != e2
| e3 != op(e1,e0) ),
inference(resolve,[$cnf( $equal(e1,e1) )],[refute_0_61,refute_0_873]) ).
cnf(refute_0_875,plain,
e3 != op(e1,e0),
inference(resolve,[$cnf( $equal(e2,e2) )],[refute_0_139,refute_0_874]) ).
cnf(refute_0_876,plain,
( op(e1,e0) != e3
| e3 = op(e1,e0) ),
inference(subst,[],[refute_0_17:[bind(X,$fot(op(e1,e0))),bind(Y,$fot(e3))]]) ).
cnf(refute_0_877,plain,
op(e1,e0) != e3,
inference(resolve,[$cnf( $equal(e3,op(e1,e0)) )],[refute_0_876,refute_0_875]) ).
cnf(refute_0_878,plain,
( op(e1,e0) = e4
| op(e2,e4) = e0 ),
inference(resolve,[$cnf( $equal(op(e1,e0),e3) )],[refute_0_840,refute_0_877]) ).
cnf(refute_0_879,plain,
op(e2,e4) = e0,
inference(resolve,[$cnf( $equal(op(e1,e0),e4) )],[refute_0_878,refute_0_829]) ).
cnf(refute_0_880,plain,
op(e2,op(e2,e4)) = op(e2,op(e2,e4)),
introduced(tautology,[refl,[$fot(op(e2,op(e2,e4)))]]) ).
cnf(refute_0_881,plain,
( op(e2,e4) != e0
| op(e2,op(e2,e4)) != op(e2,op(e2,e4))
| op(e2,op(e2,e4)) = op(e2,e0) ),
introduced(tautology,[equality,[$cnf( $equal(op(e2,op(e2,e4)),op(e2,op(e2,e4))) ),[1,1],$fot(e0)]]) ).
cnf(refute_0_882,plain,
( op(e2,e4) != e0
| op(e2,op(e2,e4)) = op(e2,e0) ),
inference(resolve,[$cnf( $equal(op(e2,op(e2,e4)),op(e2,op(e2,e4))) )],[refute_0_880,refute_0_881]) ).
cnf(refute_0_883,plain,
op(e2,op(e2,e4)) = op(e2,e0),
inference(resolve,[$cnf( $equal(op(e2,e4),e0) )],[refute_0_879,refute_0_882]) ).
cnf(refute_0_884,plain,
( op(e2,op(e2,e4)) != e4
| op(e2,op(e2,e4)) != op(e2,e0)
| op(e2,e0) = e4 ),
introduced(tautology,[equality,[$cnf( $equal(op(e2,op(e2,e4)),e4) ),[0],$fot(op(e2,e0))]]) ).
cnf(refute_0_885,plain,
( op(e2,op(e2,e4)) != e4
| op(e2,e0) = e4 ),
inference(resolve,[$cnf( $equal(op(e2,op(e2,e4)),op(e2,e0)) )],[refute_0_883,refute_0_884]) ).
cnf(refute_0_886,plain,
op(e2,e0) = e4,
inference(resolve,[$cnf( $equal(op(e2,op(e2,e4)),e4) )],[refute_0_268,refute_0_885]) ).
cnf(refute_0_887,plain,
op(e3,op(e2,e0)) = op(e3,op(e2,e0)),
introduced(tautology,[refl,[$fot(op(e3,op(e2,e0)))]]) ).
cnf(refute_0_888,plain,
( op(e2,e0) != e4
| op(e3,op(e2,e0)) != op(e3,op(e2,e0))
| op(e3,op(e2,e0)) = op(e3,e4) ),
introduced(tautology,[equality,[$cnf( $equal(op(e3,op(e2,e0)),op(e3,op(e2,e0))) ),[1,1],$fot(e4)]]) ).
cnf(refute_0_889,plain,
( op(e2,e0) != e4
| op(e3,op(e2,e0)) = op(e3,e4) ),
inference(resolve,[$cnf( $equal(op(e3,op(e2,e0)),op(e3,op(e2,e0))) )],[refute_0_887,refute_0_888]) ).
cnf(refute_0_890,plain,
op(e3,op(e2,e0)) = op(e3,e4),
inference(resolve,[$cnf( $equal(op(e2,e0),e4) )],[refute_0_886,refute_0_889]) ).
cnf(refute_0_891,plain,
op(op(e0,e2),op(e2,e0)) = op(op(e0,e2),op(e2,e0)),
introduced(tautology,[refl,[$fot(op(op(e0,e2),op(e2,e0)))]]) ).
cnf(refute_0_892,plain,
( op(e0,e2) != e3
| op(op(e0,e2),op(e2,e0)) != op(op(e0,e2),op(e2,e0))
| op(op(e0,e2),op(e2,e0)) = op(e3,op(e2,e0)) ),
introduced(tautology,[equality,[$cnf( $equal(op(op(e0,e2),op(e2,e0)),op(op(e0,e2),op(e2,e0))) ),[1,0],$fot(e3)]]) ).
cnf(refute_0_893,plain,
( op(e0,e2) != e3
| op(op(e0,e2),op(e2,e0)) = op(e3,op(e2,e0)) ),
inference(resolve,[$cnf( $equal(op(op(e0,e2),op(e2,e0)),op(op(e0,e2),op(e2,e0))) )],[refute_0_891,refute_0_892]) ).
cnf(refute_0_894,plain,
op(op(e0,e2),op(e2,e0)) = op(e3,op(e2,e0)),
inference(resolve,[$cnf( $equal(op(e0,e2),e3) )],[refute_0_809,refute_0_893]) ).
cnf(refute_0_895,plain,
( op(e3,op(e2,e0)) != op(e3,e4)
| op(op(e0,e2),op(e2,e0)) != op(e3,op(e2,e0))
| op(op(e0,e2),op(e2,e0)) = op(e3,e4) ),
inference(subst,[],[refute_0_848:[bind(X,$fot(op(op(e0,e2),op(e2,e0)))),bind(Y,$fot(op(e3,op(e2,e0)))),bind(Z,$fot(op(e3,e4)))]]) ).
cnf(refute_0_896,plain,
( op(e3,op(e2,e0)) != op(e3,e4)
| op(op(e0,e2),op(e2,e0)) = op(e3,e4) ),
inference(resolve,[$cnf( $equal(op(op(e0,e2),op(e2,e0)),op(e3,op(e2,e0))) )],[refute_0_894,refute_0_895]) ).
cnf(refute_0_897,plain,
op(op(e0,e2),op(e2,e0)) = op(e3,e4),
inference(resolve,[$cnf( $equal(op(e3,op(e2,e0)),op(e3,e4)) )],[refute_0_890,refute_0_896]) ).
cnf(refute_0_898,plain,
( op(e3,e4) != e0
| op(op(e0,e2),op(e2,e0)) != op(e3,e4)
| op(op(e0,e2),op(e2,e0)) = e0 ),
inference(subst,[],[refute_0_848:[bind(X,$fot(op(op(e0,e2),op(e2,e0)))),bind(Y,$fot(op(e3,e4))),bind(Z,$fot(e0))]]) ).
cnf(refute_0_899,plain,
( op(e3,e4) != e0
| op(op(e0,e2),op(e2,e0)) = e0 ),
inference(resolve,[$cnf( $equal(op(op(e0,e2),op(e2,e0)),op(e3,e4)) )],[refute_0_897,refute_0_898]) ).
cnf(refute_0_900,plain,
op(op(e0,e2),op(e2,e0)) = e0,
inference(resolve,[$cnf( $equal(op(e3,e4),e0) )],[refute_0_830,refute_0_899]) ).
cnf(refute_0_901,plain,
( op(op(e0,e2),op(e2,e0)) != e0
| op(op(e0,e2),op(e2,e0)) != e2
| e0 = e2 ),
introduced(tautology,[equality,[$cnf( $equal(op(op(e0,e2),op(e2,e0)),e2) ),[0],$fot(e0)]]) ).
cnf(refute_0_902,plain,
( op(op(e0,e2),op(e2,e0)) != e2
| e0 = e2 ),
inference(resolve,[$cnf( $equal(op(op(e0,e2),op(e2,e0)),e0) )],[refute_0_900,refute_0_901]) ).
cnf(refute_0_903,plain,
e0 = e2,
inference(resolve,[$cnf( $equal(op(op(e0,e2),op(e2,e0)),e2) )],[refute_0_0,refute_0_902]) ).
cnf(refute_0_904,plain,
$false,
inference(resolve,[$cnf( $equal(e0,e2) )],[refute_0_903,refute_0_108]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : ALG192+1 : TPTP v8.1.0. Released v2.7.0.
% 0.07/0.13 % Command : metis --show proof --show saturation %s
% 0.14/0.34 % Computer : n026.cluster.edu
% 0.14/0.34 % Model : x86_64 x86_64
% 0.14/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.34 % Memory : 8042.1875MB
% 0.14/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.34 % CPULimit : 300
% 0.14/0.34 % WCLimit : 600
% 0.14/0.34 % DateTime : Wed Jun 8 20:47:17 EDT 2022
% 0.14/0.34 % CPUTime :
% 0.14/0.34 %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
% 14.84/15.02 % SZS status Unsatisfiable for /export/starexec/sandbox/benchmark/theBenchmark.p
% 14.84/15.02
% 14.84/15.02 % SZS output start CNFRefutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% See solution above
% 14.84/15.09
%------------------------------------------------------------------------------