TSTP Solution File: ALG139+1 by Metis---2.4
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- Process Solution
%------------------------------------------------------------------------------
% File : Metis---2.4
% Problem : ALG139+1 : TPTP v8.1.0. Released v2.7.0.
% Transfm : none
% Format : tptp:raw
% Command : metis --show proof --show saturation %s
% Computer : n017.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 600s
% DateTime : Thu Jul 14 17:36:46 EDT 2022
% Result : Unsatisfiable 23.21s 23.44s
% Output : CNFRefutation 23.36s
% Verified :
% SZS Type : Refutation
% Derivation depth : 109
% Number of leaves : 261
% Syntax : Number of formulae : 1285 ( 118 unt; 0 def)
% Number of atoms : 5131 (5130 equ)
% Maximal formula atoms : 128 ( 3 avg)
% Number of connectives : 5616 (1770 ~;3546 |; 300 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 49 ( 4 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 3 ( 0 usr; 1 prp; 0-2 aty)
% Number of functors : 5 ( 5 usr; 4 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,e1) = e0
| op(e0,e1) = e1
| op(e0,e1) = e2
| op(e0,e1) = e3 )
& ( op(e0,e2) = e0
| op(e0,e2) = e1
| op(e0,e2) = e2
| op(e0,e2) = e3 )
& ( op(e0,e3) = e0
| op(e0,e3) = e1
| op(e0,e3) = e2
| op(e0,e3) = e3 )
& ( op(e1,e0) = e0
| op(e1,e0) = e1
| op(e1,e0) = e2
| op(e1,e0) = e3 )
& ( op(e1,e1) = e0
| op(e1,e1) = e1
| op(e1,e1) = e2
| op(e1,e1) = e3 )
& ( op(e1,e2) = e0
| op(e1,e2) = e1
| op(e1,e2) = e2
| op(e1,e2) = e3 )
& ( op(e1,e3) = e0
| op(e1,e3) = e1
| op(e1,e3) = e2
| op(e1,e3) = e3 )
& ( op(e2,e0) = e0
| op(e2,e0) = e1
| op(e2,e0) = e2
| op(e2,e0) = e3 )
& ( op(e2,e1) = e0
| op(e2,e1) = e1
| op(e2,e1) = e2
| op(e2,e1) = e3 )
& ( op(e2,e2) = e0
| op(e2,e2) = e1
| op(e2,e2) = e2
| op(e2,e2) = e3 )
& ( op(e2,e3) = e0
| op(e2,e3) = e1
| op(e2,e3) = e2
| op(e2,e3) = e3 )
& ( op(e3,e0) = e0
| op(e3,e0) = e1
| op(e3,e0) = e2
| op(e3,e0) = e3 )
& ( op(e3,e1) = e0
| op(e3,e1) = e1
| op(e3,e1) = e2
| op(e3,e1) = e3 )
& ( op(e3,e2) = e0
| op(e3,e2) = e1
| op(e3,e2) = e2
| op(e3,e2) = e3 )
& ( op(e3,e3) = e0
| op(e3,e3) = e1
| op(e3,e3) = e2
| op(e3,e3) = e3 ) ) ).
fof(ax2,axiom,
( ( op(e0,e0) = e0
| op(e0,e1) = e0
| op(e0,e2) = e0
| op(e0,e3) = e0 )
& ( op(e0,e0) = e0
| op(e1,e0) = e0
| op(e2,e0) = e0
| op(e3,e0) = e0 )
& ( op(e0,e0) = e1
| op(e0,e1) = e1
| op(e0,e2) = e1
| op(e0,e3) = e1 )
& ( op(e0,e0) = e1
| op(e1,e0) = e1
| op(e2,e0) = e1
| op(e3,e0) = e1 )
& ( op(e0,e0) = e2
| op(e0,e1) = e2
| op(e0,e2) = e2
| op(e0,e3) = e2 )
& ( op(e0,e0) = e2
| op(e1,e0) = e2
| op(e2,e0) = e2
| op(e3,e0) = e2 )
& ( op(e0,e0) = e3
| op(e0,e1) = e3
| op(e0,e2) = e3
| op(e0,e3) = e3 )
& ( op(e0,e0) = e3
| op(e1,e0) = e3
| op(e2,e0) = e3
| op(e3,e0) = e3 )
& ( op(e1,e0) = e0
| op(e1,e1) = e0
| op(e1,e2) = e0
| op(e1,e3) = e0 )
& ( op(e0,e1) = e0
| op(e1,e1) = e0
| op(e2,e1) = e0
| op(e3,e1) = e0 )
& ( op(e1,e0) = e1
| op(e1,e1) = e1
| op(e1,e2) = e1
| op(e1,e3) = e1 )
& ( op(e0,e1) = e1
| op(e1,e1) = e1
| op(e2,e1) = e1
| op(e3,e1) = e1 )
& ( op(e1,e0) = e2
| op(e1,e1) = e2
| op(e1,e2) = e2
| op(e1,e3) = e2 )
& ( op(e0,e1) = e2
| op(e1,e1) = e2
| op(e2,e1) = e2
| op(e3,e1) = e2 )
& ( op(e1,e0) = e3
| op(e1,e1) = e3
| op(e1,e2) = e3
| op(e1,e3) = e3 )
& ( op(e0,e1) = e3
| op(e1,e1) = e3
| op(e2,e1) = e3
| op(e3,e1) = e3 )
& ( op(e2,e0) = e0
| op(e2,e1) = e0
| op(e2,e2) = e0
| op(e2,e3) = e0 )
& ( op(e0,e2) = e0
| op(e1,e2) = e0
| op(e2,e2) = e0
| op(e3,e2) = e0 )
& ( op(e2,e0) = e1
| op(e2,e1) = e1
| op(e2,e2) = e1
| op(e2,e3) = e1 )
& ( op(e0,e2) = e1
| op(e1,e2) = e1
| op(e2,e2) = e1
| op(e3,e2) = e1 )
& ( op(e2,e0) = e2
| op(e2,e1) = e2
| op(e2,e2) = e2
| op(e2,e3) = e2 )
& ( op(e0,e2) = e2
| op(e1,e2) = e2
| op(e2,e2) = e2
| op(e3,e2) = e2 )
& ( op(e2,e0) = e3
| op(e2,e1) = e3
| op(e2,e2) = e3
| op(e2,e3) = e3 )
& ( op(e0,e2) = e3
| op(e1,e2) = e3
| op(e2,e2) = e3
| op(e3,e2) = e3 )
& ( op(e3,e0) = e0
| op(e3,e1) = e0
| op(e3,e2) = e0
| op(e3,e3) = e0 )
& ( op(e0,e3) = e0
| op(e1,e3) = e0
| op(e2,e3) = e0
| op(e3,e3) = e0 )
& ( op(e3,e0) = e1
| op(e3,e1) = e1
| op(e3,e2) = e1
| op(e3,e3) = e1 )
& ( op(e0,e3) = e1
| op(e1,e3) = e1
| op(e2,e3) = e1
| op(e3,e3) = e1 )
& ( op(e3,e0) = e2
| op(e3,e1) = e2
| op(e3,e2) = e2
| op(e3,e3) = e2 )
& ( op(e0,e3) = e2
| op(e1,e3) = e2
| op(e2,e3) = e2
| op(e3,e3) = e2 )
& ( op(e3,e0) = e3
| op(e3,e1) = e3
| op(e3,e2) = e3
| op(e3,e3) = e3 )
& ( op(e0,e3) = e3
| op(e1,e3) = e3
| op(e2,e3) = e3
| op(e3,e3) = e3 ) ) ).
fof(ax3,axiom,
( op(e0,e0) != op(e1,e0)
& op(e0,e0) != op(e2,e0)
& op(e0,e0) != op(e3,e0)
& op(e1,e0) != op(e2,e0)
& op(e1,e0) != op(e3,e0)
& op(e2,e0) != op(e3,e0)
& op(e0,e1) != op(e1,e1)
& op(e0,e1) != op(e2,e1)
& op(e0,e1) != op(e3,e1)
& op(e1,e1) != op(e2,e1)
& op(e1,e1) != op(e3,e1)
& op(e2,e1) != op(e3,e1)
& op(e0,e2) != op(e1,e2)
& op(e0,e2) != op(e2,e2)
& op(e0,e2) != op(e3,e2)
& op(e1,e2) != op(e2,e2)
& op(e1,e2) != op(e3,e2)
& op(e2,e2) != op(e3,e2)
& op(e0,e3) != op(e1,e3)
& op(e0,e3) != op(e2,e3)
& op(e0,e3) != op(e3,e3)
& op(e1,e3) != op(e2,e3)
& op(e1,e3) != op(e3,e3)
& op(e2,e3) != op(e3,e3)
& op(e0,e0) != op(e0,e1)
& op(e0,e0) != op(e0,e2)
& op(e0,e0) != op(e0,e3)
& op(e0,e1) != op(e0,e2)
& op(e0,e1) != op(e0,e3)
& op(e0,e2) != op(e0,e3)
& op(e1,e0) != op(e1,e1)
& op(e1,e0) != op(e1,e2)
& op(e1,e0) != op(e1,e3)
& op(e1,e1) != op(e1,e2)
& op(e1,e1) != op(e1,e3)
& op(e1,e2) != op(e1,e3)
& op(e2,e0) != op(e2,e1)
& op(e2,e0) != op(e2,e2)
& op(e2,e0) != op(e2,e3)
& op(e2,e1) != op(e2,e2)
& op(e2,e1) != op(e2,e3)
& op(e2,e2) != op(e2,e3)
& op(e3,e0) != op(e3,e1)
& op(e3,e0) != op(e3,e2)
& op(e3,e0) != op(e3,e3)
& op(e3,e1) != op(e3,e2)
& op(e3,e1) != op(e3,e3)
& op(e3,e2) != op(e3,e3) ) ).
fof(ax4,axiom,
( e0 != e1
& e0 != e2
& e0 != e3
& e1 != e2
& e1 != e3
& e2 != e3 ) ).
fof(ax5,axiom,
( ( ( op(e0,e0) = e0
& op(e0,e0) != e0 )
| ( op(e1,e1) = e0
& op(e0,e0) != e1 )
| ( op(e2,e2) = e0
& op(e0,e0) != e2 )
| ( op(e3,e3) = e0
& op(e0,e0) != e3 ) )
& ( ( op(e0,e0) = e1
& op(e1,e1) != e0 )
| ( op(e1,e1) = e1
& op(e1,e1) != e1 )
| ( op(e2,e2) = e1
& op(e1,e1) != e2 )
| ( op(e3,e3) = e1
& op(e1,e1) != e3 ) )
& ( ( op(e0,e0) = e2
& op(e2,e2) != e0 )
| ( op(e1,e1) = e2
& op(e2,e2) != e1 )
| ( op(e2,e2) = e2
& op(e2,e2) != e2 )
| ( op(e3,e3) = e2
& op(e2,e2) != e3 ) )
& ( ( op(e0,e0) = e3
& op(e3,e3) != e0 )
| ( op(e1,e1) = e3
& op(e3,e3) != e1 )
| ( op(e2,e2) = e3
& op(e3,e3) != e2 )
| ( op(e3,e3) = e3
& op(e3,e3) != e3 ) ) ) ).
fof(ax6,axiom,
~ ( e0 = op(op(e2,e2),e2)
& e1 = op(op(e2,e2),op(e2,e2))
& e3 = op(e2,e2) ) ).
fof(ax7,axiom,
~ ( e0 = op(op(e3,e3),e3)
& e1 = op(op(e3,e3),op(e3,e3))
& e2 = op(e3,e3) ) ).
fof(ax8,axiom,
~ ( e0 = op(op(e1,e1),e1)
& e2 = op(op(e1,e1),op(e1,e1))
& e3 = op(e1,e1) ) ).
fof(ax9,axiom,
~ ( e0 = op(op(e3,e3),e3)
& e2 = op(op(e3,e3),op(e3,e3))
& e1 = op(e3,e3) ) ).
fof(ax10,axiom,
~ ( e0 = op(op(e1,e1),e1)
& e3 = op(op(e1,e1),op(e1,e1))
& e2 = op(e1,e1) ) ).
fof(ax11,axiom,
~ ( e0 = op(op(e2,e2),e2)
& e3 = op(op(e2,e2),op(e2,e2))
& e1 = op(e2,e2) ) ).
fof(ax14,axiom,
~ ( e1 = op(op(e0,e0),e0)
& e2 = op(op(e0,e0),op(e0,e0))
& e3 = op(e0,e0) ) ).
fof(ax15,axiom,
~ ( e1 = op(op(e3,e3),e3)
& e2 = op(op(e3,e3),op(e3,e3))
& e0 = op(e3,e3) ) ).
fof(ax16,axiom,
~ ( e1 = op(op(e0,e0),e0)
& e3 = op(op(e0,e0),op(e0,e0))
& e2 = op(e0,e0) ) ).
fof(ax17,axiom,
~ ( e1 = op(op(e2,e2),e2)
& e3 = op(op(e2,e2),op(e2,e2))
& e0 = op(e2,e2) ) ).
fof(ax20,axiom,
~ ( e2 = op(op(e0,e0),e0)
& e1 = op(op(e0,e0),op(e0,e0))
& e3 = op(e0,e0) ) ).
fof(ax22,axiom,
~ ( e2 = op(op(e0,e0),e0)
& e3 = op(op(e0,e0),op(e0,e0))
& e1 = op(e0,e0) ) ).
fof(ax26,axiom,
~ ( e3 = op(op(e0,e0),e0)
& e1 = op(op(e0,e0),op(e0,e0))
& e2 = op(e0,e0) ) ).
fof(ax27,axiom,
~ ( e3 = op(op(e2,e2),e2)
& e1 = op(op(e2,e2),op(e2,e2))
& e0 = op(e2,e2) ) ).
fof(ax28,axiom,
~ ( e3 = op(op(e0,e0),e0)
& e2 = op(op(e0,e0),op(e0,e0))
& e1 = op(e0,e0) ) ).
fof(normalize_0_0,plain,
( ( op(e0,e0) = e0
| op(e0,e1) = e0
| op(e0,e2) = e0
| op(e0,e3) = e0 )
& ( op(e0,e0) = e0
| op(e1,e0) = e0
| op(e2,e0) = e0
| op(e3,e0) = e0 )
& ( op(e0,e0) = e1
| op(e0,e1) = e1
| op(e0,e2) = e1
| op(e0,e3) = e1 )
& ( op(e0,e0) = e1
| op(e1,e0) = e1
| op(e2,e0) = e1
| op(e3,e0) = e1 )
& ( op(e0,e0) = e2
| op(e0,e1) = e2
| op(e0,e2) = e2
| op(e0,e3) = e2 )
& ( op(e0,e0) = e2
| op(e1,e0) = e2
| op(e2,e0) = e2
| op(e3,e0) = e2 )
& ( op(e0,e0) = e3
| op(e0,e1) = e3
| op(e0,e2) = e3
| op(e0,e3) = e3 )
& ( op(e0,e0) = e3
| op(e1,e0) = e3
| op(e2,e0) = e3
| op(e3,e0) = e3 )
& ( op(e0,e1) = e0
| op(e1,e1) = e0
| op(e2,e1) = e0
| op(e3,e1) = e0 )
& ( op(e0,e1) = e1
| op(e1,e1) = e1
| op(e2,e1) = e1
| op(e3,e1) = e1 )
& ( op(e0,e1) = e2
| op(e1,e1) = e2
| op(e2,e1) = e2
| op(e3,e1) = e2 )
& ( op(e0,e1) = e3
| op(e1,e1) = e3
| op(e2,e1) = e3
| op(e3,e1) = e3 )
& ( op(e0,e2) = e0
| op(e1,e2) = e0
| op(e2,e2) = e0
| op(e3,e2) = e0 )
& ( op(e0,e2) = e1
| op(e1,e2) = e1
| op(e2,e2) = e1
| op(e3,e2) = e1 )
& ( op(e0,e2) = e2
| op(e1,e2) = e2
| op(e2,e2) = e2
| op(e3,e2) = e2 )
& ( op(e0,e2) = e3
| op(e1,e2) = e3
| op(e2,e2) = e3
| op(e3,e2) = e3 )
& ( op(e0,e3) = e0
| op(e1,e3) = e0
| op(e2,e3) = e0
| op(e3,e3) = e0 )
& ( op(e0,e3) = e1
| op(e1,e3) = e1
| op(e2,e3) = e1
| op(e3,e3) = e1 )
& ( op(e0,e3) = e2
| op(e1,e3) = e2
| op(e2,e3) = e2
| op(e3,e3) = e2 )
& ( op(e0,e3) = e3
| op(e1,e3) = e3
| op(e2,e3) = e3
| op(e3,e3) = e3 )
& ( op(e1,e0) = e0
| op(e1,e1) = e0
| op(e1,e2) = e0
| op(e1,e3) = e0 )
& ( op(e1,e0) = e1
| op(e1,e1) = e1
| op(e1,e2) = e1
| op(e1,e3) = e1 )
& ( op(e1,e0) = e2
| op(e1,e1) = e2
| op(e1,e2) = e2
| op(e1,e3) = e2 )
& ( op(e1,e0) = e3
| op(e1,e1) = e3
| op(e1,e2) = e3
| op(e1,e3) = e3 )
& ( op(e2,e0) = e0
| op(e2,e1) = e0
| op(e2,e2) = e0
| op(e2,e3) = e0 )
& ( op(e2,e0) = e1
| op(e2,e1) = e1
| op(e2,e2) = e1
| op(e2,e3) = e1 )
& ( op(e2,e0) = e2
| op(e2,e1) = e2
| op(e2,e2) = e2
| op(e2,e3) = e2 )
& ( op(e2,e0) = e3
| op(e2,e1) = e3
| op(e2,e2) = e3
| op(e2,e3) = e3 )
& ( op(e3,e0) = e0
| op(e3,e1) = e0
| op(e3,e2) = e0
| op(e3,e3) = e0 )
& ( op(e3,e0) = e1
| op(e3,e1) = e1
| op(e3,e2) = e1
| op(e3,e3) = e1 )
& ( op(e3,e0) = e2
| op(e3,e1) = e2
| op(e3,e2) = e2
| op(e3,e3) = e2 )
& ( op(e3,e0) = e3
| op(e3,e1) = e3
| op(e3,e2) = e3
| op(e3,e3) = e3 ) ),
inference(canonicalize,[],[ax2]) ).
fof(normalize_0_1,plain,
( op(e2,e0) = e3
| op(e2,e1) = e3
| op(e2,e2) = e3
| op(e2,e3) = e3 ),
inference(conjunct,[],[normalize_0_0]) ).
fof(normalize_0_2,plain,
( op(e0,e0) != op(e0,e1)
& op(e0,e0) != op(e0,e2)
& op(e0,e0) != op(e0,e3)
& op(e0,e0) != op(e1,e0)
& op(e0,e0) != op(e2,e0)
& op(e0,e0) != op(e3,e0)
& op(e0,e1) != op(e0,e2)
& op(e0,e1) != op(e0,e3)
& op(e0,e1) != op(e1,e1)
& op(e0,e1) != op(e2,e1)
& op(e0,e1) != op(e3,e1)
& op(e0,e2) != op(e0,e3)
& op(e0,e2) != op(e1,e2)
& op(e0,e2) != op(e2,e2)
& op(e0,e2) != op(e3,e2)
& op(e0,e3) != op(e1,e3)
& op(e0,e3) != op(e2,e3)
& op(e0,e3) != op(e3,e3)
& op(e1,e0) != op(e1,e1)
& op(e1,e0) != op(e1,e2)
& op(e1,e0) != op(e1,e3)
& op(e1,e0) != op(e2,e0)
& op(e1,e0) != op(e3,e0)
& op(e1,e1) != op(e1,e2)
& op(e1,e1) != op(e1,e3)
& op(e1,e1) != op(e2,e1)
& op(e1,e1) != op(e3,e1)
& op(e1,e2) != op(e1,e3)
& op(e1,e2) != op(e2,e2)
& op(e1,e2) != op(e3,e2)
& op(e1,e3) != op(e2,e3)
& op(e1,e3) != op(e3,e3)
& op(e2,e0) != op(e2,e1)
& op(e2,e0) != op(e2,e2)
& op(e2,e0) != op(e2,e3)
& op(e2,e0) != op(e3,e0)
& op(e2,e1) != op(e2,e2)
& op(e2,e1) != op(e2,e3)
& op(e2,e1) != op(e3,e1)
& op(e2,e2) != op(e2,e3)
& op(e2,e2) != op(e3,e2)
& op(e2,e3) != op(e3,e3)
& op(e3,e0) != op(e3,e1)
& op(e3,e0) != op(e3,e2)
& op(e3,e0) != op(e3,e3)
& op(e3,e1) != op(e3,e2)
& op(e3,e1) != op(e3,e3)
& op(e3,e2) != op(e3,e3) ),
inference(canonicalize,[],[ax3]) ).
fof(normalize_0_3,plain,
op(e3,e1) != op(e3,e3),
inference(conjunct,[],[normalize_0_2]) ).
fof(normalize_0_4,plain,
( ( ( op(e0,e0) != e1
& op(e1,e1) = e0 )
| ( op(e0,e0) != e2
& op(e2,e2) = e0 )
| ( op(e0,e0) != e3
& op(e3,e3) = e0 ) )
& ( ( op(e1,e1) != e0
& op(e0,e0) = e1 )
| ( op(e1,e1) != e2
& op(e2,e2) = e1 )
| ( op(e1,e1) != e3
& op(e3,e3) = e1 ) )
& ( ( op(e2,e2) != e0
& op(e0,e0) = e2 )
| ( op(e2,e2) != e1
& op(e1,e1) = e2 )
| ( op(e2,e2) != e3
& op(e3,e3) = e2 ) )
& ( ( op(e3,e3) != e0
& op(e0,e0) = e3 )
| ( op(e3,e3) != e1
& op(e1,e1) = e3 )
| ( op(e3,e3) != e2
& op(e2,e2) = e3 ) ) ),
inference(canonicalize,[],[ax5]) ).
fof(normalize_0_5,plain,
( ( op(e0,e0) != e1
& op(e1,e1) = e0 )
| ( op(e0,e0) != e2
& op(e2,e2) = e0 )
| ( op(e0,e0) != e3
& op(e3,e3) = e0 ) ),
inference(conjunct,[],[normalize_0_4]) ).
fof(normalize_0_6,plain,
( ( op(e0,e0) != e1
| op(e0,e0) != e2
| op(e0,e0) != e3 )
& ( op(e0,e0) != e1
| op(e0,e0) != e2
| op(e3,e3) = e0 )
& ( op(e0,e0) != e1
| op(e0,e0) != e3
| op(e2,e2) = e0 )
& ( op(e0,e0) != e1
| op(e2,e2) = e0
| op(e3,e3) = e0 )
& ( op(e0,e0) != e2
| op(e0,e0) != e3
| op(e1,e1) = e0 )
& ( op(e0,e0) != e2
| op(e1,e1) = e0
| op(e3,e3) = e0 )
& ( op(e0,e0) != e3
| op(e1,e1) = e0
| op(e2,e2) = e0 )
& ( op(e1,e1) = e0
| op(e2,e2) = e0
| op(e3,e3) = e0 ) ),
inference(clausify,[],[normalize_0_5]) ).
fof(normalize_0_7,plain,
( op(e1,e1) = e0
| op(e2,e2) = e0
| op(e3,e3) = e0 ),
inference(conjunct,[],[normalize_0_6]) ).
fof(normalize_0_8,plain,
( op(e0,e1) = e0
| op(e1,e1) = e0
| op(e2,e1) = e0
| op(e3,e1) = e0 ),
inference(conjunct,[],[normalize_0_0]) ).
fof(normalize_0_9,plain,
( ( op(e3,e3) != e0
& op(e0,e0) = e3 )
| ( op(e3,e3) != e1
& op(e1,e1) = e3 )
| ( op(e3,e3) != e2
& op(e2,e2) = e3 ) ),
inference(conjunct,[],[normalize_0_4]) ).
fof(normalize_0_10,plain,
( ( op(e3,e3) != e0
| op(e3,e3) != e1
| op(e3,e3) != e2 )
& ( op(e3,e3) != e0
| op(e3,e3) != e1
| op(e2,e2) = e3 )
& ( op(e3,e3) != e0
| op(e3,e3) != e2
| op(e1,e1) = e3 )
& ( op(e3,e3) != e0
| op(e1,e1) = e3
| op(e2,e2) = e3 )
& ( op(e3,e3) != e1
| op(e3,e3) != e2
| op(e0,e0) = e3 )
& ( op(e3,e3) != e1
| op(e0,e0) = e3
| op(e2,e2) = e3 )
& ( op(e3,e3) != e2
| op(e0,e0) = e3
| op(e1,e1) = e3 )
& ( op(e0,e0) = e3
| op(e1,e1) = e3
| op(e2,e2) = e3 ) ),
inference(clausify,[],[normalize_0_9]) ).
fof(normalize_0_11,plain,
( op(e0,e0) = e3
| op(e1,e1) = e3
| op(e2,e2) = e3 ),
inference(conjunct,[],[normalize_0_10]) ).
fof(normalize_0_12,plain,
op(e0,e3) != op(e3,e3),
inference(conjunct,[],[normalize_0_2]) ).
fof(normalize_0_13,plain,
( ( op(e1,e1) != e0
& op(e0,e0) = e1 )
| ( op(e1,e1) != e2
& op(e2,e2) = e1 )
| ( op(e1,e1) != e3
& op(e3,e3) = e1 ) ),
inference(conjunct,[],[normalize_0_4]) ).
fof(normalize_0_14,plain,
( ( op(e1,e1) != e0
| op(e1,e1) != e2
| op(e1,e1) != e3 )
& ( op(e1,e1) != e0
| op(e1,e1) != e2
| op(e3,e3) = e1 )
& ( op(e1,e1) != e0
| op(e1,e1) != e3
| op(e2,e2) = e1 )
& ( op(e1,e1) != e0
| op(e2,e2) = e1
| op(e3,e3) = e1 )
& ( op(e1,e1) != e2
| op(e1,e1) != e3
| op(e0,e0) = e1 )
& ( op(e1,e1) != e2
| op(e0,e0) = e1
| op(e3,e3) = e1 )
& ( op(e1,e1) != e3
| op(e0,e0) = e1
| op(e2,e2) = e1 )
& ( op(e0,e0) = e1
| op(e2,e2) = e1
| op(e3,e3) = e1 ) ),
inference(clausify,[],[normalize_0_13]) ).
fof(normalize_0_15,plain,
( op(e0,e0) = e1
| op(e2,e2) = e1
| op(e3,e3) = e1 ),
inference(conjunct,[],[normalize_0_14]) ).
fof(normalize_0_16,plain,
( op(e0,e0) = e1
| op(e0,e1) = e1
| op(e0,e2) = e1
| op(e0,e3) = e1 ),
inference(conjunct,[],[normalize_0_0]) ).
fof(normalize_0_17,plain,
( e0 != e1
& e0 != e2
& e0 != e3
& e1 != e2
& e1 != e3
& e2 != e3 ),
inference(canonicalize,[],[ax4]) ).
fof(normalize_0_18,plain,
e1 != e3,
inference(conjunct,[],[normalize_0_17]) ).
fof(normalize_0_19,plain,
( e0 != op(e3,e3)
| e1 != op(op(e3,e3),e3)
| e2 != op(op(e3,e3),op(e3,e3)) ),
inference(canonicalize,[],[ax15]) ).
fof(normalize_0_20,plain,
( op(e0,e0) != e2
| op(e1,e1) = e0
| op(e3,e3) = e0 ),
inference(conjunct,[],[normalize_0_6]) ).
fof(normalize_0_21,plain,
( ( op(e0,e0) = e0
| op(e0,e0) = e1
| op(e0,e0) = e2
| op(e0,e0) = e3 )
& ( op(e0,e1) = e0
| op(e0,e1) = e1
| op(e0,e1) = e2
| op(e0,e1) = e3 )
& ( op(e0,e2) = e0
| op(e0,e2) = e1
| op(e0,e2) = e2
| op(e0,e2) = e3 )
& ( op(e0,e3) = e0
| op(e0,e3) = e1
| op(e0,e3) = e2
| op(e0,e3) = e3 )
& ( op(e1,e0) = e0
| op(e1,e0) = e1
| op(e1,e0) = e2
| op(e1,e0) = e3 )
& ( op(e1,e1) = e0
| op(e1,e1) = e1
| op(e1,e1) = e2
| op(e1,e1) = e3 )
& ( op(e1,e2) = e0
| op(e1,e2) = e1
| op(e1,e2) = e2
| op(e1,e2) = e3 )
& ( op(e1,e3) = e0
| op(e1,e3) = e1
| op(e1,e3) = e2
| op(e1,e3) = e3 )
& ( op(e2,e0) = e0
| op(e2,e0) = e1
| op(e2,e0) = e2
| op(e2,e0) = e3 )
& ( op(e2,e1) = e0
| op(e2,e1) = e1
| op(e2,e1) = e2
| op(e2,e1) = e3 )
& ( op(e2,e2) = e0
| op(e2,e2) = e1
| op(e2,e2) = e2
| op(e2,e2) = e3 )
& ( op(e2,e3) = e0
| op(e2,e3) = e1
| op(e2,e3) = e2
| op(e2,e3) = e3 )
& ( op(e3,e0) = e0
| op(e3,e0) = e1
| op(e3,e0) = e2
| op(e3,e0) = e3 )
& ( op(e3,e1) = e0
| op(e3,e1) = e1
| op(e3,e1) = e2
| op(e3,e1) = e3 )
& ( op(e3,e2) = e0
| op(e3,e2) = e1
| op(e3,e2) = e2
| op(e3,e2) = e3 )
& ( op(e3,e3) = e0
| op(e3,e3) = e1
| op(e3,e3) = e2
| op(e3,e3) = e3 ) ),
inference(canonicalize,[],[ax1]) ).
fof(normalize_0_22,plain,
( op(e0,e0) = e0
| op(e0,e0) = e1
| op(e0,e0) = e2
| op(e0,e0) = e3 ),
inference(conjunct,[],[normalize_0_21]) ).
fof(normalize_0_23,plain,
e0 != e2,
inference(conjunct,[],[normalize_0_17]) ).
fof(normalize_0_24,plain,
e1 != e2,
inference(conjunct,[],[normalize_0_17]) ).
fof(normalize_0_25,plain,
e2 != e3,
inference(conjunct,[],[normalize_0_17]) ).
fof(normalize_0_26,plain,
op(e0,e0) != op(e0,e1),
inference(conjunct,[],[normalize_0_2]) ).
fof(normalize_0_27,plain,
( e0 != op(op(e1,e1),e1)
| e2 != op(e1,e1)
| e3 != op(op(e1,e1),op(e1,e1)) ),
inference(canonicalize,[],[ax10]) ).
fof(normalize_0_28,plain,
e0 != e3,
inference(conjunct,[],[normalize_0_17]) ).
fof(normalize_0_29,plain,
( ( op(e2,e2) != e0
& op(e0,e0) = e2 )
| ( op(e2,e2) != e1
& op(e1,e1) = e2 )
| ( op(e2,e2) != e3
& op(e3,e3) = e2 ) ),
inference(conjunct,[],[normalize_0_4]) ).
fof(normalize_0_30,plain,
( ( op(e2,e2) != e0
| op(e2,e2) != e1
| op(e2,e2) != e3 )
& ( op(e2,e2) != e0
| op(e2,e2) != e1
| op(e3,e3) = e2 )
& ( op(e2,e2) != e0
| op(e2,e2) != e3
| op(e1,e1) = e2 )
& ( op(e2,e2) != e0
| op(e1,e1) = e2
| op(e3,e3) = e2 )
& ( op(e2,e2) != e1
| op(e2,e2) != e3
| op(e0,e0) = e2 )
& ( op(e2,e2) != e1
| op(e0,e0) = e2
| op(e3,e3) = e2 )
& ( op(e2,e2) != e3
| op(e0,e0) = e2
| op(e1,e1) = e2 )
& ( op(e0,e0) = e2
| op(e1,e1) = e2
| op(e3,e3) = e2 ) ),
inference(clausify,[],[normalize_0_29]) ).
fof(normalize_0_31,plain,
( op(e2,e2) != e3
| op(e0,e0) = e2
| op(e1,e1) = e2 ),
inference(conjunct,[],[normalize_0_30]) ).
fof(normalize_0_32,plain,
( op(e0,e0) = e2
| op(e1,e1) = e2
| op(e3,e3) = e2 ),
inference(conjunct,[],[normalize_0_30]) ).
fof(normalize_0_33,plain,
e0 != e1,
inference(conjunct,[],[normalize_0_17]) ).
fof(normalize_0_34,plain,
( e0 != op(op(e2,e2),e2)
| e1 != op(e2,e2)
| e3 != op(op(e2,e2),op(e2,e2)) ),
inference(canonicalize,[],[ax11]) ).
fof(normalize_0_35,plain,
( op(e1,e1) != e3
| op(e0,e0) = e1
| op(e2,e2) = e1 ),
inference(conjunct,[],[normalize_0_14]) ).
fof(normalize_0_36,plain,
( op(e1,e1) = e0
| op(e1,e1) = e1
| op(e1,e1) = e2
| op(e1,e1) = e3 ),
inference(conjunct,[],[normalize_0_21]) ).
fof(normalize_0_37,plain,
op(e3,e2) != op(e3,e3),
inference(conjunct,[],[normalize_0_2]) ).
fof(normalize_0_38,plain,
( op(e0,e2) = e0
| op(e1,e2) = e0
| op(e2,e2) = e0
| op(e3,e2) = e0 ),
inference(conjunct,[],[normalize_0_0]) ).
fof(normalize_0_39,plain,
op(e1,e1) != op(e1,e2),
inference(conjunct,[],[normalize_0_2]) ).
fof(normalize_0_40,plain,
( e0 != op(op(e2,e2),e2)
| e1 != op(op(e2,e2),op(e2,e2))
| e3 != op(e2,e2) ),
inference(canonicalize,[],[ax6]) ).
fof(normalize_0_41,plain,
( op(e3,e3) != e0
| op(e1,e1) = e3
| op(e2,e2) = e3 ),
inference(conjunct,[],[normalize_0_10]) ).
fof(normalize_0_42,plain,
op(e1,e0) != op(e3,e0),
inference(conjunct,[],[normalize_0_2]) ).
fof(normalize_0_43,plain,
( e1 != op(op(e0,e0),op(e0,e0))
| e2 != op(op(e0,e0),e0)
| e3 != op(e0,e0) ),
inference(canonicalize,[],[ax20]) ).
fof(normalize_0_44,plain,
( op(e1,e1) != e2
| op(e0,e0) = e1
| op(e3,e3) = e1 ),
inference(conjunct,[],[normalize_0_14]) ).
fof(normalize_0_45,plain,
op(e2,e0) != op(e2,e2),
inference(conjunct,[],[normalize_0_2]) ).
fof(normalize_0_46,plain,
( e1 != op(op(e0,e0),e0)
| e2 != op(op(e0,e0),op(e0,e0))
| e3 != op(e0,e0) ),
inference(canonicalize,[],[ax14]) ).
fof(normalize_0_47,plain,
( op(e0,e0) = e1
| op(e1,e0) = e1
| op(e2,e0) = e1
| op(e3,e0) = e1 ),
inference(conjunct,[],[normalize_0_0]) ).
fof(normalize_0_48,plain,
op(e0,e0) != op(e3,e0),
inference(conjunct,[],[normalize_0_2]) ).
fof(normalize_0_49,plain,
( op(e3,e0) = e0
| op(e3,e0) = e1
| op(e3,e0) = e2
| op(e3,e0) = e3 ),
inference(conjunct,[],[normalize_0_21]) ).
fof(normalize_0_50,plain,
op(e2,e0) != op(e3,e0),
inference(conjunct,[],[normalize_0_2]) ).
fof(normalize_0_51,plain,
op(e3,e0) != op(e3,e3),
inference(conjunct,[],[normalize_0_2]) ).
fof(normalize_0_52,plain,
( op(e0,e1) = e2
| op(e1,e1) = e2
| op(e2,e1) = e2
| op(e3,e1) = e2 ),
inference(conjunct,[],[normalize_0_0]) ).
fof(normalize_0_53,plain,
( e0 != op(op(e1,e1),e1)
| e2 != op(op(e1,e1),op(e1,e1))
| e3 != op(e1,e1) ),
inference(canonicalize,[],[ax8]) ).
fof(normalize_0_54,plain,
op(e1,e0) != op(e1,e1),
inference(conjunct,[],[normalize_0_2]) ).
fof(normalize_0_55,plain,
op(e0,e0) != op(e1,e0),
inference(conjunct,[],[normalize_0_2]) ).
fof(normalize_0_56,plain,
( op(e1,e0) = e0
| op(e1,e0) = e1
| op(e1,e0) = e2
| op(e1,e0) = e3 ),
inference(conjunct,[],[normalize_0_21]) ).
fof(normalize_0_57,plain,
op(e0,e2) != op(e1,e2),
inference(conjunct,[],[normalize_0_2]) ).
fof(normalize_0_58,plain,
op(e1,e3) != op(e3,e3),
inference(conjunct,[],[normalize_0_2]) ).
fof(normalize_0_59,plain,
( op(e1,e0) = e2
| op(e1,e1) = e2
| op(e1,e2) = e2
| op(e1,e3) = e2 ),
inference(conjunct,[],[normalize_0_0]) ).
fof(normalize_0_60,plain,
op(e0,e2) != op(e2,e2),
inference(conjunct,[],[normalize_0_2]) ).
fof(normalize_0_61,plain,
op(e0,e2) != op(e0,e3),
inference(conjunct,[],[normalize_0_2]) ).
fof(normalize_0_62,plain,
( e0 != op(op(e3,e3),e3)
| e1 != op(e3,e3)
| e2 != op(op(e3,e3),op(e3,e3)) ),
inference(canonicalize,[],[ax9]) ).
fof(normalize_0_63,plain,
op(e2,e2) != op(e2,e3),
inference(conjunct,[],[normalize_0_2]) ).
fof(normalize_0_64,plain,
( op(e0,e3) = e0
| op(e1,e3) = e0
| op(e2,e3) = e0
| op(e3,e3) = e0 ),
inference(conjunct,[],[normalize_0_0]) ).
fof(normalize_0_65,plain,
op(e1,e1) != op(e1,e3),
inference(conjunct,[],[normalize_0_2]) ).
fof(normalize_0_66,plain,
( e0 != op(op(e3,e3),e3)
| e1 != op(op(e3,e3),op(e3,e3))
| e2 != op(e3,e3) ),
inference(canonicalize,[],[ax7]) ).
fof(normalize_0_67,plain,
op(e0,e0) != op(e0,e2),
inference(conjunct,[],[normalize_0_2]) ).
fof(normalize_0_68,plain,
( op(e0,e2) = e0
| op(e0,e2) = e1
| op(e0,e2) = e2
| op(e0,e2) = e3 ),
inference(conjunct,[],[normalize_0_21]) ).
fof(normalize_0_69,plain,
( e0 != op(e2,e2)
| e1 != op(op(e2,e2),e2)
| e3 != op(op(e2,e2),op(e2,e2)) ),
inference(canonicalize,[],[ax17]) ).
fof(normalize_0_70,plain,
( op(e0,e0) != e3
| op(e1,e1) = e0
| op(e2,e2) = e0 ),
inference(conjunct,[],[normalize_0_6]) ).
fof(normalize_0_71,plain,
op(e1,e2) != op(e2,e2),
inference(conjunct,[],[normalize_0_2]) ).
fof(normalize_0_72,plain,
( op(e1,e0) = e0
| op(e1,e1) = e0
| op(e1,e2) = e0
| op(e1,e3) = e0 ),
inference(conjunct,[],[normalize_0_0]) ).
fof(normalize_0_73,plain,
( e0 != op(e2,e2)
| e1 != op(op(e2,e2),op(e2,e2))
| e3 != op(op(e2,e2),e2) ),
inference(canonicalize,[],[ax27]) ).
fof(normalize_0_74,plain,
( op(e0,e0) != e1
| op(e2,e2) = e0
| op(e3,e3) = e0 ),
inference(conjunct,[],[normalize_0_6]) ).
fof(normalize_0_75,plain,
op(e0,e1) != op(e0,e2),
inference(conjunct,[],[normalize_0_2]) ).
fof(normalize_0_76,plain,
op(e1,e1) != op(e2,e1),
inference(conjunct,[],[normalize_0_2]) ).
fof(normalize_0_77,plain,
op(e2,e1) != op(e2,e2),
inference(conjunct,[],[normalize_0_2]) ).
fof(normalize_0_78,plain,
( e1 != op(e0,e0)
| e2 != op(op(e0,e0),e0)
| e3 != op(op(e0,e0),op(e0,e0)) ),
inference(canonicalize,[],[ax22]) ).
fof(normalize_0_79,plain,
( e1 != op(e0,e0)
| e2 != op(op(e0,e0),op(e0,e0))
| e3 != op(op(e0,e0),e0) ),
inference(canonicalize,[],[ax28]) ).
fof(normalize_0_80,plain,
op(e2,e2) != op(e3,e2),
inference(conjunct,[],[normalize_0_2]) ).
fof(normalize_0_81,plain,
( op(e3,e0) = e0
| op(e3,e1) = e0
| op(e3,e2) = e0
| op(e3,e3) = e0 ),
inference(conjunct,[],[normalize_0_0]) ).
fof(normalize_0_82,plain,
op(e1,e0) != op(e1,e2),
inference(conjunct,[],[normalize_0_2]) ).
fof(normalize_0_83,plain,
op(e0,e3) != op(e1,e3),
inference(conjunct,[],[normalize_0_2]) ).
fof(normalize_0_84,plain,
( op(e1,e0) = e3
| op(e1,e1) = e3
| op(e1,e2) = e3
| op(e1,e3) = e3 ),
inference(conjunct,[],[normalize_0_0]) ).
fof(normalize_0_85,plain,
op(e0,e1) != op(e0,e3),
inference(conjunct,[],[normalize_0_2]) ).
fof(normalize_0_86,plain,
op(e0,e0) != op(e0,e3),
inference(conjunct,[],[normalize_0_2]) ).
fof(normalize_0_87,plain,
( op(e0,e3) = e0
| op(e0,e3) = e1
| op(e0,e3) = e2
| op(e0,e3) = e3 ),
inference(conjunct,[],[normalize_0_21]) ).
fof(normalize_0_88,plain,
( e1 != op(op(e0,e0),e0)
| e2 != op(e0,e0)
| e3 != op(op(e0,e0),op(e0,e0)) ),
inference(canonicalize,[],[ax16]) ).
fof(normalize_0_89,plain,
( op(e2,e0) = e2
| op(e2,e1) = e2
| op(e2,e2) = e2
| op(e2,e3) = e2 ),
inference(conjunct,[],[normalize_0_0]) ).
fof(normalize_0_90,plain,
op(e0,e0) != op(e2,e0),
inference(conjunct,[],[normalize_0_2]) ).
fof(normalize_0_91,plain,
( e1 != op(op(e0,e0),op(e0,e0))
| e2 != op(e0,e0)
| e3 != op(op(e0,e0),e0) ),
inference(canonicalize,[],[ax26]) ).
cnf(refute_0_0,plain,
( op(e2,e0) = e3
| op(e2,e1) = e3
| op(e2,e2) = e3
| op(e2,e3) = e3 ),
inference(canonicalize,[],[normalize_0_1]) ).
cnf(refute_0_1,plain,
op(e3,e1) != op(e3,e3),
inference(canonicalize,[],[normalize_0_3]) ).
cnf(refute_0_2,plain,
( op(e1,e1) = e0
| op(e2,e2) = e0
| op(e3,e3) = e0 ),
inference(canonicalize,[],[normalize_0_7]) ).
cnf(refute_0_3,plain,
( op(e3,e1) != e0
| op(e3,e3) != e0
| op(e3,e1) = op(e3,e3) ),
introduced(tautology,[equality,[$cnf( ~ $equal(op(e3,e1),op(e3,e3)) ),[1],$fot(e0)]]) ).
cnf(refute_0_4,plain,
( op(e3,e1) != e0
| op(e1,e1) = e0
| op(e2,e2) = e0
| op(e3,e1) = op(e3,e3) ),
inference(resolve,[$cnf( $equal(op(e3,e3),e0) )],[refute_0_2,refute_0_3]) ).
cnf(refute_0_5,plain,
( op(e3,e1) != e0
| op(e1,e1) = e0
| op(e2,e2) = e0 ),
inference(resolve,[$cnf( $equal(op(e3,e1),op(e3,e3)) )],[refute_0_4,refute_0_1]) ).
cnf(refute_0_6,plain,
( op(e0,e1) = e0
| op(e1,e1) = e0
| op(e2,e1) = e0
| op(e3,e1) = e0 ),
inference(canonicalize,[],[normalize_0_8]) ).
cnf(refute_0_7,plain,
( e0 != e0
| op(e3,e1) != e0
| op(e3,e1) = e0 ),
introduced(tautology,[equality,[$cnf( $equal(op(e3,e1),e0) ),[1],$fot(e0)]]) ).
cnf(refute_0_8,plain,
( e0 != e0
| op(e0,e1) = e0
| op(e1,e1) = e0
| op(e2,e1) = e0
| op(e3,e1) = e0 ),
inference(resolve,[$cnf( $equal(op(e3,e1),e0) )],[refute_0_6,refute_0_7]) ).
cnf(refute_0_9,plain,
( e0 != e0
| op(e0,e1) = e0
| op(e1,e1) = e0
| op(e2,e1) = e0
| op(e2,e2) = e0 ),
inference(resolve,[$cnf( $equal(op(e3,e1),e0) )],[refute_0_8,refute_0_5]) ).
cnf(refute_0_10,plain,
e0 = e0,
introduced(tautology,[refl,[$fot(e0)]]) ).
cnf(refute_0_11,plain,
( op(e0,e1) = e0
| op(e1,e1) = e0
| op(e2,e1) = e0
| op(e2,e2) = e0 ),
inference(resolve,[$cnf( $equal(e0,e0) )],[refute_0_10,refute_0_9]) ).
cnf(refute_0_12,plain,
( op(e0,e0) = e3
| op(e1,e1) = e3
| op(e2,e2) = e3 ),
inference(canonicalize,[],[normalize_0_11]) ).
cnf(refute_0_13,plain,
op(e0,e3) != op(e3,e3),
inference(canonicalize,[],[normalize_0_12]) ).
cnf(refute_0_14,plain,
( op(e0,e0) = e1
| op(e2,e2) = e1
| op(e3,e3) = e1 ),
inference(canonicalize,[],[normalize_0_15]) ).
cnf(refute_0_15,plain,
( op(e0,e3) != e1
| op(e3,e3) != e1
| op(e0,e3) = op(e3,e3) ),
introduced(tautology,[equality,[$cnf( ~ $equal(op(e0,e3),op(e3,e3)) ),[1],$fot(e1)]]) ).
cnf(refute_0_16,plain,
( op(e0,e3) != e1
| op(e0,e0) = e1
| op(e0,e3) = op(e3,e3)
| op(e2,e2) = e1 ),
inference(resolve,[$cnf( $equal(op(e3,e3),e1) )],[refute_0_14,refute_0_15]) ).
cnf(refute_0_17,plain,
( op(e0,e3) != e1
| op(e0,e0) = e1
| op(e2,e2) = e1 ),
inference(resolve,[$cnf( $equal(op(e0,e3),op(e3,e3)) )],[refute_0_16,refute_0_13]) ).
cnf(refute_0_18,plain,
( op(e0,e0) = e1
| op(e0,e1) = e1
| op(e0,e2) = e1
| op(e0,e3) = e1 ),
inference(canonicalize,[],[normalize_0_16]) ).
cnf(refute_0_19,plain,
( e1 != e1
| op(e0,e3) != e1
| op(e0,e3) = e1 ),
introduced(tautology,[equality,[$cnf( $equal(op(e0,e3),e1) ),[1],$fot(e1)]]) ).
cnf(refute_0_20,plain,
( e1 != e1
| op(e0,e0) = e1
| op(e0,e1) = e1
| op(e0,e2) = e1
| op(e0,e3) = e1 ),
inference(resolve,[$cnf( $equal(op(e0,e3),e1) )],[refute_0_18,refute_0_19]) ).
cnf(refute_0_21,plain,
( e1 != e1
| op(e0,e0) = e1
| op(e0,e1) = e1
| op(e0,e2) = e1
| op(e2,e2) = e1 ),
inference(resolve,[$cnf( $equal(op(e0,e3),e1) )],[refute_0_20,refute_0_17]) ).
cnf(refute_0_22,plain,
e1 = e1,
introduced(tautology,[refl,[$fot(e1)]]) ).
cnf(refute_0_23,plain,
( op(e0,e0) = e1
| op(e0,e1) = e1
| op(e0,e2) = e1
| op(e2,e2) = e1 ),
inference(resolve,[$cnf( $equal(e1,e1) )],[refute_0_22,refute_0_21]) ).
cnf(refute_0_24,plain,
( op(e2,e2) != e1
| op(e2,e2) != e3
| e1 = e3 ),
introduced(tautology,[equality,[$cnf( $equal(op(e2,e2),e3) ),[0],$fot(e1)]]) ).
cnf(refute_0_25,plain,
( op(e2,e2) != e3
| e1 = e3
| op(e0,e0) = e1
| op(e0,e1) = e1
| op(e0,e2) = e1 ),
inference(resolve,[$cnf( $equal(op(e2,e2),e1) )],[refute_0_23,refute_0_24]) ).
cnf(refute_0_26,plain,
( e1 = e3
| op(e0,e0) = e1
| op(e0,e0) = e3
| op(e0,e1) = e1
| op(e0,e2) = e1
| op(e1,e1) = e3 ),
inference(resolve,[$cnf( $equal(op(e2,e2),e3) )],[refute_0_12,refute_0_25]) ).
cnf(refute_0_27,plain,
e1 != e3,
inference(canonicalize,[],[normalize_0_18]) ).
cnf(refute_0_28,plain,
( op(e0,e0) = e1
| op(e0,e0) = e3
| op(e0,e1) = e1
| op(e0,e2) = e1
| op(e1,e1) = e3 ),
inference(resolve,[$cnf( $equal(e1,e3) )],[refute_0_26,refute_0_27]) ).
cnf(refute_0_29,plain,
( e0 != op(e3,e3)
| e1 != op(op(e3,e3),e3)
| e2 != op(op(e3,e3),op(e3,e3)) ),
inference(canonicalize,[],[normalize_0_19]) ).
cnf(refute_0_30,plain,
( e0 != e0
| e0 != op(e3,e3)
| op(e3,e3) = e0 ),
introduced(tautology,[equality,[$cnf( $equal(e0,e0) ),[0],$fot(op(e3,e3))]]) ).
cnf(refute_0_31,plain,
( e0 != op(e3,e3)
| op(e3,e3) = e0 ),
inference(resolve,[$cnf( $equal(e0,e0) )],[refute_0_10,refute_0_30]) ).
cnf(refute_0_32,plain,
op(e0,op(e3,e3)) = op(e0,op(e3,e3)),
introduced(tautology,[refl,[$fot(op(e0,op(e3,e3)))]]) ).
cnf(refute_0_33,plain,
( op(e0,op(e3,e3)) != op(e0,op(e3,e3))
| op(e3,e3) != e0
| op(e0,op(e3,e3)) = op(e0,e0) ),
introduced(tautology,[equality,[$cnf( $equal(op(e0,op(e3,e3)),op(e0,op(e3,e3))) ),[1,1],$fot(e0)]]) ).
cnf(refute_0_34,plain,
( op(e3,e3) != e0
| op(e0,op(e3,e3)) = op(e0,e0) ),
inference(resolve,[$cnf( $equal(op(e0,op(e3,e3)),op(e0,op(e3,e3))) )],[refute_0_32,refute_0_33]) ).
cnf(refute_0_35,plain,
( e0 != op(e3,e3)
| op(e0,op(e3,e3)) = op(e0,e0) ),
inference(resolve,[$cnf( $equal(op(e3,e3),e0) )],[refute_0_31,refute_0_34]) ).
cnf(refute_0_36,plain,
op(op(e3,e3),op(e3,e3)) = op(op(e3,e3),op(e3,e3)),
introduced(tautology,[refl,[$fot(op(op(e3,e3),op(e3,e3)))]]) ).
cnf(refute_0_37,plain,
( op(e3,e3) != e0
| op(op(e3,e3),op(e3,e3)) != op(op(e3,e3),op(e3,e3))
| op(op(e3,e3),op(e3,e3)) = op(e0,op(e3,e3)) ),
introduced(tautology,[equality,[$cnf( $equal(op(op(e3,e3),op(e3,e3)),op(op(e3,e3),op(e3,e3))) ),[1,0],$fot(e0)]]) ).
cnf(refute_0_38,plain,
( op(e3,e3) != e0
| op(op(e3,e3),op(e3,e3)) = op(e0,op(e3,e3)) ),
inference(resolve,[$cnf( $equal(op(op(e3,e3),op(e3,e3)),op(op(e3,e3),op(e3,e3))) )],[refute_0_36,refute_0_37]) ).
cnf(refute_0_39,plain,
( e0 != op(e3,e3)
| op(op(e3,e3),op(e3,e3)) = op(e0,op(e3,e3)) ),
inference(resolve,[$cnf( $equal(op(e3,e3),e0) )],[refute_0_31,refute_0_38]) ).
cnf(refute_0_40,plain,
X = X,
introduced(tautology,[refl,[$fot(X)]]) ).
cnf(refute_0_41,plain,
( X != X
| X != Y
| Y = X ),
introduced(tautology,[equality,[$cnf( $equal(X,X) ),[0],$fot(Y)]]) ).
cnf(refute_0_42,plain,
( X != Y
| Y = X ),
inference(resolve,[$cnf( $equal(X,X) )],[refute_0_40,refute_0_41]) ).
cnf(refute_0_43,plain,
( Y != X
| Y != Z
| X = Z ),
introduced(tautology,[equality,[$cnf( $equal(Y,Z) ),[0],$fot(X)]]) ).
cnf(refute_0_44,plain,
( X != Y
| Y != Z
| X = Z ),
inference(resolve,[$cnf( $equal(Y,X) )],[refute_0_42,refute_0_43]) ).
cnf(refute_0_45,plain,
( op(e0,op(e3,e3)) != op(e0,e0)
| op(op(e3,e3),op(e3,e3)) != op(e0,op(e3,e3))
| op(op(e3,e3),op(e3,e3)) = op(e0,e0) ),
inference(subst,[],[refute_0_44:[bind(X,$fot(op(op(e3,e3),op(e3,e3)))),bind(Y,$fot(op(e0,op(e3,e3)))),bind(Z,$fot(op(e0,e0)))]]) ).
cnf(refute_0_46,plain,
( e0 != op(e3,e3)
| op(e0,op(e3,e3)) != op(e0,e0)
| op(op(e3,e3),op(e3,e3)) = op(e0,e0) ),
inference(resolve,[$cnf( $equal(op(op(e3,e3),op(e3,e3)),op(e0,op(e3,e3))) )],[refute_0_39,refute_0_45]) ).
cnf(refute_0_47,plain,
( e0 != op(e3,e3)
| op(op(e3,e3),op(e3,e3)) = op(e0,e0) ),
inference(resolve,[$cnf( $equal(op(e0,op(e3,e3)),op(e0,e0)) )],[refute_0_35,refute_0_46]) ).
cnf(refute_0_48,plain,
( e2 != op(e0,e0)
| op(op(e3,e3),op(e3,e3)) != op(e0,e0)
| e2 = op(op(e3,e3),op(e3,e3)) ),
introduced(tautology,[equality,[$cnf( ~ $equal(e2,op(op(e3,e3),op(e3,e3))) ),[1],$fot(op(e0,e0))]]) ).
cnf(refute_0_49,plain,
( e0 != op(e3,e3)
| e2 != op(e0,e0)
| e2 = op(op(e3,e3),op(e3,e3)) ),
inference(resolve,[$cnf( $equal(op(op(e3,e3),op(e3,e3)),op(e0,e0)) )],[refute_0_47,refute_0_48]) ).
cnf(refute_0_50,plain,
( e0 != op(e3,e3)
| e1 != op(op(e3,e3),e3)
| e2 != op(e0,e0) ),
inference(resolve,[$cnf( $equal(e2,op(op(e3,e3),op(e3,e3))) )],[refute_0_49,refute_0_29]) ).
cnf(refute_0_51,plain,
op(op(e3,e3),e3) = op(op(e3,e3),e3),
introduced(tautology,[refl,[$fot(op(op(e3,e3),e3))]]) ).
cnf(refute_0_52,plain,
( op(e3,e3) != e0
| op(op(e3,e3),e3) != op(op(e3,e3),e3)
| op(op(e3,e3),e3) = op(e0,e3) ),
introduced(tautology,[equality,[$cnf( $equal(op(op(e3,e3),e3),op(op(e3,e3),e3)) ),[1,0],$fot(e0)]]) ).
cnf(refute_0_53,plain,
( op(e3,e3) != e0
| op(op(e3,e3),e3) = op(e0,e3) ),
inference(resolve,[$cnf( $equal(op(op(e3,e3),e3),op(op(e3,e3),e3)) )],[refute_0_51,refute_0_52]) ).
cnf(refute_0_54,plain,
( e0 != op(e3,e3)
| op(op(e3,e3),e3) = op(e0,e3) ),
inference(resolve,[$cnf( $equal(op(e3,e3),e0) )],[refute_0_31,refute_0_53]) ).
cnf(refute_0_55,plain,
( e1 != op(e0,e3)
| op(op(e3,e3),e3) != op(e0,e3)
| e1 = op(op(e3,e3),e3) ),
introduced(tautology,[equality,[$cnf( ~ $equal(e1,op(op(e3,e3),e3)) ),[1],$fot(op(e0,e3))]]) ).
cnf(refute_0_56,plain,
( e0 != op(e3,e3)
| e1 != op(e0,e3)
| e1 = op(op(e3,e3),e3) ),
inference(resolve,[$cnf( $equal(op(op(e3,e3),e3),op(e0,e3)) )],[refute_0_54,refute_0_55]) ).
cnf(refute_0_57,plain,
( e0 != op(e3,e3)
| e1 != op(e0,e3)
| e2 != op(e0,e0) ),
inference(resolve,[$cnf( $equal(e1,op(op(e3,e3),e3)) )],[refute_0_56,refute_0_50]) ).
cnf(refute_0_58,plain,
( op(e0,e0) != e2
| op(e1,e1) = e0
| op(e3,e3) = e0 ),
inference(canonicalize,[],[normalize_0_20]) ).
cnf(refute_0_59,plain,
( op(e0,e0) = e0
| op(e0,e0) = e1
| op(e0,e0) = e2
| op(e0,e0) = e3 ),
inference(canonicalize,[],[normalize_0_22]) ).
cnf(refute_0_60,plain,
( e2 != e2
| op(e0,e0) != e2
| op(e0,e0) = e2 ),
introduced(tautology,[equality,[$cnf( $equal(op(e0,e0),e2) ),[1],$fot(e2)]]) ).
cnf(refute_0_61,plain,
( e2 != e2
| op(e0,e0) = e0
| op(e0,e0) = e1
| op(e0,e0) = e2
| op(e0,e0) = e3 ),
inference(resolve,[$cnf( $equal(op(e0,e0),e2) )],[refute_0_59,refute_0_60]) ).
cnf(refute_0_62,plain,
( e2 != e2
| op(e0,e0) = e0
| op(e0,e0) = e1
| op(e0,e0) = e3
| op(e1,e1) = e0
| op(e3,e3) = e0 ),
inference(resolve,[$cnf( $equal(op(e0,e0),e2) )],[refute_0_61,refute_0_58]) ).
cnf(refute_0_63,plain,
e2 = e2,
introduced(tautology,[refl,[$fot(e2)]]) ).
cnf(refute_0_64,plain,
( op(e0,e0) = e0
| op(e0,e0) = e1
| op(e0,e0) = e3
| op(e1,e1) = e0
| op(e3,e3) = e0 ),
inference(resolve,[$cnf( $equal(e2,e2) )],[refute_0_63,refute_0_62]) ).
cnf(refute_0_65,plain,
( e0 != e0
| op(e3,e3) != e0
| e0 = op(e3,e3) ),
introduced(tautology,[equality,[$cnf( ~ $equal(e0,op(e3,e3)) ),[1],$fot(e0)]]) ).
cnf(refute_0_66,plain,
( e0 != e0
| e0 = op(e3,e3)
| op(e0,e0) = e0
| op(e0,e0) = e1
| op(e0,e0) = e3
| op(e1,e1) = e0 ),
inference(resolve,[$cnf( $equal(op(e3,e3),e0) )],[refute_0_64,refute_0_65]) ).
cnf(refute_0_67,plain,
( e0 != e0
| e1 != op(e0,e3)
| e2 != op(e0,e0)
| op(e0,e0) = e0
| op(e0,e0) = e1
| op(e0,e0) = e3
| op(e1,e1) = e0 ),
inference(resolve,[$cnf( $equal(e0,op(e3,e3)) )],[refute_0_66,refute_0_57]) ).
cnf(refute_0_68,plain,
( e1 != op(e0,e3)
| e2 != op(e0,e0)
| op(e0,e0) = e0
| op(e0,e0) = e1
| op(e0,e0) = e3
| op(e1,e1) = e0 ),
inference(resolve,[$cnf( $equal(e0,e0) )],[refute_0_10,refute_0_67]) ).
cnf(refute_0_69,plain,
( e2 != e2
| e2 != op(e0,e0)
| op(e0,e0) = e2 ),
introduced(tautology,[equality,[$cnf( $equal(e2,e2) ),[0],$fot(op(e0,e0))]]) ).
cnf(refute_0_70,plain,
( e2 != op(e0,e0)
| op(e0,e0) = e2 ),
inference(resolve,[$cnf( $equal(e2,e2) )],[refute_0_63,refute_0_69]) ).
cnf(refute_0_71,plain,
( op(e0,e0) != e0
| op(e0,e0) != e2
| e2 = e0 ),
introduced(tautology,[equality,[$cnf( $equal(op(e0,e0),e0) ),[0],$fot(e2)]]) ).
cnf(refute_0_72,plain,
( e2 != op(e0,e0)
| op(e0,e0) != e0
| e2 = e0 ),
inference(resolve,[$cnf( $equal(op(e0,e0),e2) )],[refute_0_70,refute_0_71]) ).
cnf(refute_0_73,plain,
( e1 != op(e0,e3)
| e2 != op(e0,e0)
| e2 = e0
| op(e0,e0) = e1
| op(e0,e0) = e3
| op(e1,e1) = e0 ),
inference(resolve,[$cnf( $equal(op(e0,e0),e0) )],[refute_0_68,refute_0_72]) ).
cnf(refute_0_74,plain,
( op(e0,e0) != e1
| op(e0,e0) != e2
| e2 = e1 ),
introduced(tautology,[equality,[$cnf( $equal(op(e0,e0),e1) ),[0],$fot(e2)]]) ).
cnf(refute_0_75,plain,
( e2 != op(e0,e0)
| op(e0,e0) != e1
| e2 = e1 ),
inference(resolve,[$cnf( $equal(op(e0,e0),e2) )],[refute_0_70,refute_0_74]) ).
cnf(refute_0_76,plain,
( e1 != op(e0,e3)
| e2 != op(e0,e0)
| e2 = e0
| e2 = e1
| op(e0,e0) = e3
| op(e1,e1) = e0 ),
inference(resolve,[$cnf( $equal(op(e0,e0),e1) )],[refute_0_73,refute_0_75]) ).
cnf(refute_0_77,plain,
( op(e0,e0) != e2
| op(e0,e0) != e3
| e2 = e3 ),
introduced(tautology,[equality,[$cnf( $equal(op(e0,e0),e3) ),[0],$fot(e2)]]) ).
cnf(refute_0_78,plain,
( e2 != op(e0,e0)
| op(e0,e0) != e3
| e2 = e3 ),
inference(resolve,[$cnf( $equal(op(e0,e0),e2) )],[refute_0_70,refute_0_77]) ).
cnf(refute_0_79,plain,
( e1 != op(e0,e3)
| e2 != op(e0,e0)
| e2 = e0
| e2 = e1
| e2 = e3
| op(e1,e1) = e0 ),
inference(resolve,[$cnf( $equal(op(e0,e0),e3) )],[refute_0_76,refute_0_78]) ).
cnf(refute_0_80,plain,
e0 != e2,
inference(canonicalize,[],[normalize_0_23]) ).
cnf(refute_0_81,plain,
( e2 != e0
| e0 = e2 ),
inference(subst,[],[refute_0_42:[bind(X,$fot(e2)),bind(Y,$fot(e0))]]) ).
cnf(refute_0_82,plain,
e2 != e0,
inference(resolve,[$cnf( $equal(e0,e2) )],[refute_0_81,refute_0_80]) ).
cnf(refute_0_83,plain,
( e1 != op(e0,e3)
| e2 != op(e0,e0)
| e2 = e1
| e2 = e3
| op(e1,e1) = e0 ),
inference(resolve,[$cnf( $equal(e2,e0) )],[refute_0_79,refute_0_82]) ).
cnf(refute_0_84,plain,
e1 != e2,
inference(canonicalize,[],[normalize_0_24]) ).
cnf(refute_0_85,plain,
( e2 != e1
| e1 = e2 ),
inference(subst,[],[refute_0_42:[bind(X,$fot(e2)),bind(Y,$fot(e1))]]) ).
cnf(refute_0_86,plain,
e2 != e1,
inference(resolve,[$cnf( $equal(e1,e2) )],[refute_0_85,refute_0_84]) ).
cnf(refute_0_87,plain,
( e1 != op(e0,e3)
| e2 != op(e0,e0)
| e2 = e3
| op(e1,e1) = e0 ),
inference(resolve,[$cnf( $equal(e2,e1) )],[refute_0_83,refute_0_86]) ).
cnf(refute_0_88,plain,
e2 != e3,
inference(canonicalize,[],[normalize_0_25]) ).
cnf(refute_0_89,plain,
( e1 != op(e0,e3)
| e2 != op(e0,e0)
| op(e1,e1) = e0 ),
inference(resolve,[$cnf( $equal(e2,e3) )],[refute_0_87,refute_0_88]) ).
cnf(refute_0_90,plain,
( e1 != e1
| op(e0,e3) != e1
| e1 = op(e0,e3) ),
introduced(tautology,[equality,[$cnf( ~ $equal(e1,op(e0,e3)) ),[1],$fot(e1)]]) ).
cnf(refute_0_91,plain,
( e1 != e1
| e1 = op(e0,e3)
| op(e0,e0) = e1
| op(e0,e1) = e1
| op(e0,e2) = e1 ),
inference(resolve,[$cnf( $equal(op(e0,e3),e1) )],[refute_0_18,refute_0_90]) ).
cnf(refute_0_92,plain,
( e1 != e1
| e2 != op(e0,e0)
| op(e0,e0) = e1
| op(e0,e1) = e1
| op(e0,e2) = e1
| op(e1,e1) = e0 ),
inference(resolve,[$cnf( $equal(e1,op(e0,e3)) )],[refute_0_91,refute_0_89]) ).
cnf(refute_0_93,plain,
( e2 != op(e0,e0)
| op(e0,e0) = e1
| op(e0,e1) = e1
| op(e0,e2) = e1
| op(e1,e1) = e0 ),
inference(resolve,[$cnf( $equal(e1,e1) )],[refute_0_22,refute_0_92]) ).
cnf(refute_0_94,plain,
( e2 != op(e0,e0)
| e2 = e1
| op(e0,e1) = e1
| op(e0,e2) = e1
| op(e1,e1) = e0 ),
inference(resolve,[$cnf( $equal(op(e0,e0),e1) )],[refute_0_93,refute_0_75]) ).
cnf(refute_0_95,plain,
( e2 != op(e0,e0)
| op(e0,e1) = e1
| op(e0,e2) = e1
| op(e1,e1) = e0 ),
inference(resolve,[$cnf( $equal(e2,e1) )],[refute_0_94,refute_0_86]) ).
cnf(refute_0_96,plain,
( e2 != e2
| op(e0,e0) != e2
| e2 = op(e0,e0) ),
introduced(tautology,[equality,[$cnf( ~ $equal(e2,op(e0,e0)) ),[1],$fot(e2)]]) ).
cnf(refute_0_97,plain,
( e2 != e2
| e2 = op(e0,e0)
| op(e0,e0) = e0
| op(e0,e0) = e1
| op(e0,e0) = e3 ),
inference(resolve,[$cnf( $equal(op(e0,e0),e2) )],[refute_0_59,refute_0_96]) ).
cnf(refute_0_98,plain,
( e2 != e2
| op(e0,e0) = e0
| op(e0,e0) = e1
| op(e0,e0) = e3
| op(e0,e1) = e1
| op(e0,e2) = e1
| op(e1,e1) = e0 ),
inference(resolve,[$cnf( $equal(e2,op(e0,e0)) )],[refute_0_97,refute_0_95]) ).
cnf(refute_0_99,plain,
( op(e0,e0) = e0
| op(e0,e0) = e1
| op(e0,e0) = e3
| op(e0,e1) = e1
| op(e0,e2) = e1
| op(e1,e1) = e0 ),
inference(resolve,[$cnf( $equal(e2,e2) )],[refute_0_63,refute_0_98]) ).
cnf(refute_0_100,plain,
op(e0,e0) != op(e0,e1),
inference(canonicalize,[],[normalize_0_26]) ).
cnf(refute_0_101,plain,
( e0 != op(op(e1,e1),e1)
| e2 != op(e1,e1)
| e3 != op(op(e1,e1),op(e1,e1)) ),
inference(canonicalize,[],[normalize_0_27]) ).
cnf(refute_0_102,plain,
( e2 != e2
| e2 != op(e1,e1)
| op(e1,e1) = e2 ),
introduced(tautology,[equality,[$cnf( $equal(e2,e2) ),[0],$fot(op(e1,e1))]]) ).
cnf(refute_0_103,plain,
( e2 != op(e1,e1)
| op(e1,e1) = e2 ),
inference(resolve,[$cnf( $equal(e2,e2) )],[refute_0_63,refute_0_102]) ).
cnf(refute_0_104,plain,
op(e2,op(e1,e1)) = op(e2,op(e1,e1)),
introduced(tautology,[refl,[$fot(op(e2,op(e1,e1)))]]) ).
cnf(refute_0_105,plain,
( op(e1,e1) != e2
| op(e2,op(e1,e1)) != op(e2,op(e1,e1))
| op(e2,op(e1,e1)) = op(e2,e2) ),
introduced(tautology,[equality,[$cnf( $equal(op(e2,op(e1,e1)),op(e2,op(e1,e1))) ),[1,1],$fot(e2)]]) ).
cnf(refute_0_106,plain,
( op(e1,e1) != e2
| op(e2,op(e1,e1)) = op(e2,e2) ),
inference(resolve,[$cnf( $equal(op(e2,op(e1,e1)),op(e2,op(e1,e1))) )],[refute_0_104,refute_0_105]) ).
cnf(refute_0_107,plain,
( e2 != op(e1,e1)
| op(e2,op(e1,e1)) = op(e2,e2) ),
inference(resolve,[$cnf( $equal(op(e1,e1),e2) )],[refute_0_103,refute_0_106]) ).
cnf(refute_0_108,plain,
op(op(e1,e1),op(e1,e1)) = op(op(e1,e1),op(e1,e1)),
introduced(tautology,[refl,[$fot(op(op(e1,e1),op(e1,e1)))]]) ).
cnf(refute_0_109,plain,
( op(e1,e1) != e2
| op(op(e1,e1),op(e1,e1)) != op(op(e1,e1),op(e1,e1))
| op(op(e1,e1),op(e1,e1)) = op(e2,op(e1,e1)) ),
introduced(tautology,[equality,[$cnf( $equal(op(op(e1,e1),op(e1,e1)),op(op(e1,e1),op(e1,e1))) ),[1,0],$fot(e2)]]) ).
cnf(refute_0_110,plain,
( op(e1,e1) != e2
| op(op(e1,e1),op(e1,e1)) = op(e2,op(e1,e1)) ),
inference(resolve,[$cnf( $equal(op(op(e1,e1),op(e1,e1)),op(op(e1,e1),op(e1,e1))) )],[refute_0_108,refute_0_109]) ).
cnf(refute_0_111,plain,
( e2 != op(e1,e1)
| op(op(e1,e1),op(e1,e1)) = op(e2,op(e1,e1)) ),
inference(resolve,[$cnf( $equal(op(e1,e1),e2) )],[refute_0_103,refute_0_110]) ).
cnf(refute_0_112,plain,
( op(e2,op(e1,e1)) != op(e2,e2)
| op(op(e1,e1),op(e1,e1)) != op(e2,op(e1,e1))
| op(op(e1,e1),op(e1,e1)) = op(e2,e2) ),
inference(subst,[],[refute_0_44:[bind(X,$fot(op(op(e1,e1),op(e1,e1)))),bind(Y,$fot(op(e2,op(e1,e1)))),bind(Z,$fot(op(e2,e2)))]]) ).
cnf(refute_0_113,plain,
( e2 != op(e1,e1)
| op(e2,op(e1,e1)) != op(e2,e2)
| op(op(e1,e1),op(e1,e1)) = op(e2,e2) ),
inference(resolve,[$cnf( $equal(op(op(e1,e1),op(e1,e1)),op(e2,op(e1,e1))) )],[refute_0_111,refute_0_112]) ).
cnf(refute_0_114,plain,
( e2 != op(e1,e1)
| op(op(e1,e1),op(e1,e1)) = op(e2,e2) ),
inference(resolve,[$cnf( $equal(op(e2,op(e1,e1)),op(e2,e2)) )],[refute_0_107,refute_0_113]) ).
cnf(refute_0_115,plain,
( e3 != op(e2,e2)
| op(op(e1,e1),op(e1,e1)) != op(e2,e2)
| e3 = op(op(e1,e1),op(e1,e1)) ),
introduced(tautology,[equality,[$cnf( ~ $equal(e3,op(op(e1,e1),op(e1,e1))) ),[1],$fot(op(e2,e2))]]) ).
cnf(refute_0_116,plain,
( e2 != op(e1,e1)
| e3 != op(e2,e2)
| e3 = op(op(e1,e1),op(e1,e1)) ),
inference(resolve,[$cnf( $equal(op(op(e1,e1),op(e1,e1)),op(e2,e2)) )],[refute_0_114,refute_0_115]) ).
cnf(refute_0_117,plain,
( e0 != op(op(e1,e1),e1)
| e2 != op(e1,e1)
| e3 != op(e2,e2) ),
inference(resolve,[$cnf( $equal(e3,op(op(e1,e1),op(e1,e1))) )],[refute_0_116,refute_0_101]) ).
cnf(refute_0_118,plain,
op(op(e1,e1),e1) = op(op(e1,e1),e1),
introduced(tautology,[refl,[$fot(op(op(e1,e1),e1))]]) ).
cnf(refute_0_119,plain,
( op(e1,e1) != e2
| op(op(e1,e1),e1) != op(op(e1,e1),e1)
| op(op(e1,e1),e1) = op(e2,e1) ),
introduced(tautology,[equality,[$cnf( $equal(op(op(e1,e1),e1),op(op(e1,e1),e1)) ),[1,0],$fot(e2)]]) ).
cnf(refute_0_120,plain,
( op(e1,e1) != e2
| op(op(e1,e1),e1) = op(e2,e1) ),
inference(resolve,[$cnf( $equal(op(op(e1,e1),e1),op(op(e1,e1),e1)) )],[refute_0_118,refute_0_119]) ).
cnf(refute_0_121,plain,
( e2 != op(e1,e1)
| op(op(e1,e1),e1) = op(e2,e1) ),
inference(resolve,[$cnf( $equal(op(e1,e1),e2) )],[refute_0_103,refute_0_120]) ).
cnf(refute_0_122,plain,
( e0 != op(e2,e1)
| op(op(e1,e1),e1) != op(e2,e1)
| e0 = op(op(e1,e1),e1) ),
introduced(tautology,[equality,[$cnf( ~ $equal(e0,op(op(e1,e1),e1)) ),[1],$fot(op(e2,e1))]]) ).
cnf(refute_0_123,plain,
( e0 != op(e2,e1)
| e2 != op(e1,e1)
| e0 = op(op(e1,e1),e1) ),
inference(resolve,[$cnf( $equal(op(op(e1,e1),e1),op(e2,e1)) )],[refute_0_121,refute_0_122]) ).
cnf(refute_0_124,plain,
( e0 != op(e2,e1)
| e2 != op(e1,e1)
| e3 != op(e2,e2) ),
inference(resolve,[$cnf( $equal(e0,op(op(e1,e1),e1)) )],[refute_0_123,refute_0_117]) ).
cnf(refute_0_125,plain,
( e3 != e3
| op(e2,e2) != e3
| e3 = op(e2,e2) ),
introduced(tautology,[equality,[$cnf( ~ $equal(e3,op(e2,e2)) ),[1],$fot(e3)]]) ).
cnf(refute_0_126,plain,
( e3 != e3
| e3 = op(e2,e2)
| op(e0,e0) = e3
| op(e1,e1) = e3 ),
inference(resolve,[$cnf( $equal(op(e2,e2),e3) )],[refute_0_12,refute_0_125]) ).
cnf(refute_0_127,plain,
( e0 != op(e2,e1)
| e2 != op(e1,e1)
| e3 != e3
| op(e0,e0) = e3
| op(e1,e1) = e3 ),
inference(resolve,[$cnf( $equal(e3,op(e2,e2)) )],[refute_0_126,refute_0_124]) ).
cnf(refute_0_128,plain,
e3 = e3,
introduced(tautology,[refl,[$fot(e3)]]) ).
cnf(refute_0_129,plain,
( e0 != op(e2,e1)
| e2 != op(e1,e1)
| op(e0,e0) = e3
| op(e1,e1) = e3 ),
inference(resolve,[$cnf( $equal(e3,e3) )],[refute_0_128,refute_0_127]) ).
cnf(refute_0_130,plain,
( op(e1,e1) != e2
| op(e1,e1) != e3
| e2 = e3 ),
introduced(tautology,[equality,[$cnf( $equal(op(e1,e1),e3) ),[0],$fot(e2)]]) ).
cnf(refute_0_131,plain,
( e2 != op(e1,e1)
| op(e1,e1) != e3
| e2 = e3 ),
inference(resolve,[$cnf( $equal(op(e1,e1),e2) )],[refute_0_103,refute_0_130]) ).
cnf(refute_0_132,plain,
( e0 != op(e2,e1)
| e2 != op(e1,e1)
| e2 = e3
| op(e0,e0) = e3 ),
inference(resolve,[$cnf( $equal(op(e1,e1),e3) )],[refute_0_129,refute_0_131]) ).
cnf(refute_0_133,plain,
( e0 != op(e2,e1)
| e2 != op(e1,e1)
| op(e0,e0) = e3 ),
inference(resolve,[$cnf( $equal(e2,e3) )],[refute_0_132,refute_0_88]) ).
cnf(refute_0_134,plain,
( op(e2,e2) != e0
| op(e2,e2) != e3
| e0 = e3 ),
introduced(tautology,[equality,[$cnf( $equal(op(e2,e2),e3) ),[0],$fot(e0)]]) ).
cnf(refute_0_135,plain,
( op(e2,e2) != e3
| e0 = e3
| op(e0,e1) = e0
| op(e1,e1) = e0
| op(e2,e1) = e0 ),
inference(resolve,[$cnf( $equal(op(e2,e2),e0) )],[refute_0_11,refute_0_134]) ).
cnf(refute_0_136,plain,
( e0 = e3
| op(e0,e0) = e3
| op(e0,e1) = e0
| op(e1,e1) = e0
| op(e1,e1) = e3
| op(e2,e1) = e0 ),
inference(resolve,[$cnf( $equal(op(e2,e2),e3) )],[refute_0_12,refute_0_135]) ).
cnf(refute_0_137,plain,
e0 != e3,
inference(canonicalize,[],[normalize_0_28]) ).
cnf(refute_0_138,plain,
( op(e0,e0) = e3
| op(e0,e1) = e0
| op(e1,e1) = e0
| op(e1,e1) = e3
| op(e2,e1) = e0 ),
inference(resolve,[$cnf( $equal(e0,e3) )],[refute_0_136,refute_0_137]) ).
cnf(refute_0_139,plain,
( e0 != e0
| op(e2,e1) != e0
| e0 = op(e2,e1) ),
introduced(tautology,[equality,[$cnf( ~ $equal(e0,op(e2,e1)) ),[1],$fot(e0)]]) ).
cnf(refute_0_140,plain,
( e0 != e0
| e0 = op(e2,e1)
| op(e0,e0) = e3
| op(e0,e1) = e0
| op(e1,e1) = e0
| op(e1,e1) = e3 ),
inference(resolve,[$cnf( $equal(op(e2,e1),e0) )],[refute_0_138,refute_0_139]) ).
cnf(refute_0_141,plain,
( e0 != e0
| e2 != op(e1,e1)
| op(e0,e0) = e3
| op(e0,e1) = e0
| op(e1,e1) = e0
| op(e1,e1) = e3 ),
inference(resolve,[$cnf( $equal(e0,op(e2,e1)) )],[refute_0_140,refute_0_133]) ).
cnf(refute_0_142,plain,
( e2 != op(e1,e1)
| op(e0,e0) = e3
| op(e0,e1) = e0
| op(e1,e1) = e0
| op(e1,e1) = e3 ),
inference(resolve,[$cnf( $equal(e0,e0) )],[refute_0_10,refute_0_141]) ).
cnf(refute_0_143,plain,
( op(e1,e1) != e0
| op(e1,e1) != e2
| e2 = e0 ),
introduced(tautology,[equality,[$cnf( $equal(op(e1,e1),e0) ),[0],$fot(e2)]]) ).
cnf(refute_0_144,plain,
( e2 != op(e1,e1)
| op(e1,e1) != e0
| e2 = e0 ),
inference(resolve,[$cnf( $equal(op(e1,e1),e2) )],[refute_0_103,refute_0_143]) ).
cnf(refute_0_145,plain,
( e2 != op(e1,e1)
| e2 = e0
| op(e0,e0) = e3
| op(e0,e1) = e0
| op(e1,e1) = e3 ),
inference(resolve,[$cnf( $equal(op(e1,e1),e0) )],[refute_0_142,refute_0_144]) ).
cnf(refute_0_146,plain,
( e2 != op(e1,e1)
| e2 = e0
| e2 = e3
| op(e0,e0) = e3
| op(e0,e1) = e0 ),
inference(resolve,[$cnf( $equal(op(e1,e1),e3) )],[refute_0_145,refute_0_131]) ).
cnf(refute_0_147,plain,
( e2 != op(e1,e1)
| e2 = e3
| op(e0,e0) = e3
| op(e0,e1) = e0 ),
inference(resolve,[$cnf( $equal(e2,e0) )],[refute_0_146,refute_0_82]) ).
cnf(refute_0_148,plain,
( e2 != op(e1,e1)
| op(e0,e0) = e3
| op(e0,e1) = e0 ),
inference(resolve,[$cnf( $equal(e2,e3) )],[refute_0_147,refute_0_88]) ).
cnf(refute_0_149,plain,
( op(e2,e2) != e3
| op(e0,e0) = e2
| op(e1,e1) = e2 ),
inference(canonicalize,[],[normalize_0_31]) ).
cnf(refute_0_150,plain,
( e3 != e3
| op(e2,e2) != e3
| op(e2,e2) = e3 ),
introduced(tautology,[equality,[$cnf( $equal(op(e2,e2),e3) ),[1],$fot(e3)]]) ).
cnf(refute_0_151,plain,
( e3 != e3
| op(e0,e0) = e3
| op(e1,e1) = e3
| op(e2,e2) = e3 ),
inference(resolve,[$cnf( $equal(op(e2,e2),e3) )],[refute_0_12,refute_0_150]) ).
cnf(refute_0_152,plain,
( e3 != e3
| op(e0,e0) = e2
| op(e0,e0) = e3
| op(e1,e1) = e2
| op(e1,e1) = e3 ),
inference(resolve,[$cnf( $equal(op(e2,e2),e3) )],[refute_0_151,refute_0_149]) ).
cnf(refute_0_153,plain,
( op(e0,e0) = e2
| op(e0,e0) = e3
| op(e1,e1) = e2
| op(e1,e1) = e3 ),
inference(resolve,[$cnf( $equal(e3,e3) )],[refute_0_128,refute_0_152]) ).
cnf(refute_0_154,plain,
( e2 != e2
| op(e1,e1) != e2
| e2 = op(e1,e1) ),
introduced(tautology,[equality,[$cnf( ~ $equal(e2,op(e1,e1)) ),[1],$fot(e2)]]) ).
cnf(refute_0_155,plain,
( e2 != e2
| e2 = op(e1,e1)
| op(e0,e0) = e2
| op(e0,e0) = e3
| op(e1,e1) = e3 ),
inference(resolve,[$cnf( $equal(op(e1,e1),e2) )],[refute_0_153,refute_0_154]) ).
cnf(refute_0_156,plain,
( e2 != e2
| op(e0,e0) = e2
| op(e0,e0) = e3
| op(e0,e1) = e0
| op(e1,e1) = e3 ),
inference(resolve,[$cnf( $equal(e2,op(e1,e1)) )],[refute_0_155,refute_0_148]) ).
cnf(refute_0_157,plain,
( op(e0,e0) = e2
| op(e0,e0) = e3
| op(e0,e1) = e0
| op(e1,e1) = e3 ),
inference(resolve,[$cnf( $equal(e2,e2) )],[refute_0_63,refute_0_156]) ).
cnf(refute_0_158,plain,
( op(e0,e0) = e2
| op(e1,e1) = e2
| op(e3,e3) = e2 ),
inference(canonicalize,[],[normalize_0_32]) ).
cnf(refute_0_159,plain,
( op(e3,e3) != e0
| op(e3,e3) != e2
| e2 = e0 ),
introduced(tautology,[equality,[$cnf( $equal(op(e3,e3),e0) ),[0],$fot(e2)]]) ).
cnf(refute_0_160,plain,
( op(e3,e3) != e0
| e2 = e0
| op(e0,e0) = e2
| op(e1,e1) = e2 ),
inference(resolve,[$cnf( $equal(op(e3,e3),e2) )],[refute_0_158,refute_0_159]) ).
cnf(refute_0_161,plain,
( e2 = e0
| op(e0,e0) = e2
| op(e1,e1) = e0
| op(e1,e1) = e2
| op(e2,e2) = e0 ),
inference(resolve,[$cnf( $equal(op(e3,e3),e0) )],[refute_0_2,refute_0_160]) ).
cnf(refute_0_162,plain,
( op(e0,e0) = e2
| op(e1,e1) = e0
| op(e1,e1) = e2
| op(e2,e2) = e0 ),
inference(resolve,[$cnf( $equal(e2,e0) )],[refute_0_161,refute_0_82]) ).
cnf(refute_0_163,plain,
( op(e3,e3) != e1
| op(e3,e3) != e2
| e1 = e2 ),
introduced(tautology,[equality,[$cnf( $equal(op(e3,e3),e2) ),[0],$fot(e1)]]) ).
cnf(refute_0_164,plain,
( op(e3,e3) != e2
| e1 = e2
| op(e0,e0) = e1
| op(e2,e2) = e1 ),
inference(resolve,[$cnf( $equal(op(e3,e3),e1) )],[refute_0_14,refute_0_163]) ).
cnf(refute_0_165,plain,
( e1 = e2
| op(e0,e0) = e1
| op(e0,e0) = e2
| op(e1,e1) = e2
| op(e2,e2) = e1 ),
inference(resolve,[$cnf( $equal(op(e3,e3),e2) )],[refute_0_158,refute_0_164]) ).
cnf(refute_0_166,plain,
( op(e0,e0) = e1
| op(e0,e0) = e2
| op(e1,e1) = e2
| op(e2,e2) = e1 ),
inference(resolve,[$cnf( $equal(e1,e2) )],[refute_0_165,refute_0_84]) ).
cnf(refute_0_167,plain,
( op(e2,e2) != e0
| op(e2,e2) != e1
| e1 = e0 ),
introduced(tautology,[equality,[$cnf( $equal(op(e2,e2),e0) ),[0],$fot(e1)]]) ).
cnf(refute_0_168,plain,
( op(e2,e2) != e0
| e1 = e0
| op(e0,e0) = e1
| op(e0,e0) = e2
| op(e1,e1) = e2 ),
inference(resolve,[$cnf( $equal(op(e2,e2),e1) )],[refute_0_166,refute_0_167]) ).
cnf(refute_0_169,plain,
( e1 = e0
| op(e0,e0) = e1
| op(e0,e0) = e2
| op(e1,e1) = e0
| op(e1,e1) = e2 ),
inference(resolve,[$cnf( $equal(op(e2,e2),e0) )],[refute_0_162,refute_0_168]) ).
cnf(refute_0_170,plain,
e0 != e1,
inference(canonicalize,[],[normalize_0_33]) ).
cnf(refute_0_171,plain,
( e1 != e0
| e0 = e1 ),
inference(subst,[],[refute_0_42:[bind(X,$fot(e1)),bind(Y,$fot(e0))]]) ).
cnf(refute_0_172,plain,
e1 != e0,
inference(resolve,[$cnf( $equal(e0,e1) )],[refute_0_171,refute_0_170]) ).
cnf(refute_0_173,plain,
( op(e0,e0) = e1
| op(e0,e0) = e2
| op(e1,e1) = e0
| op(e1,e1) = e2 ),
inference(resolve,[$cnf( $equal(e1,e0) )],[refute_0_169,refute_0_172]) ).
cnf(refute_0_174,plain,
( op(e1,e1) != e0
| op(e1,e1) != e3
| e0 = e3 ),
introduced(tautology,[equality,[$cnf( $equal(op(e1,e1),e3) ),[0],$fot(e0)]]) ).
cnf(refute_0_175,plain,
( op(e1,e1) != e3
| e0 = e3
| op(e0,e0) = e1
| op(e0,e0) = e2
| op(e1,e1) = e2 ),
inference(resolve,[$cnf( $equal(op(e1,e1),e0) )],[refute_0_173,refute_0_174]) ).
cnf(refute_0_176,plain,
( e0 = e3
| op(e0,e0) = e1
| op(e0,e0) = e2
| op(e0,e0) = e3
| op(e1,e1) = e2 ),
inference(resolve,[$cnf( $equal(op(e1,e1),e3) )],[refute_0_153,refute_0_175]) ).
cnf(refute_0_177,plain,
( op(e0,e0) = e1
| op(e0,e0) = e2
| op(e0,e0) = e3
| op(e1,e1) = e2 ),
inference(resolve,[$cnf( $equal(e0,e3) )],[refute_0_176,refute_0_137]) ).
cnf(refute_0_178,plain,
( op(e1,e1) != e3
| e2 = e3
| op(e0,e0) = e1
| op(e0,e0) = e2
| op(e0,e0) = e3 ),
inference(resolve,[$cnf( $equal(op(e1,e1),e2) )],[refute_0_177,refute_0_130]) ).
cnf(refute_0_179,plain,
( e2 = e3
| op(e0,e0) = e1
| op(e0,e0) = e2
| op(e0,e0) = e3
| op(e0,e1) = e0 ),
inference(resolve,[$cnf( $equal(op(e1,e1),e3) )],[refute_0_157,refute_0_178]) ).
cnf(refute_0_180,plain,
( op(e0,e0) = e1
| op(e0,e0) = e2
| op(e0,e0) = e3
| op(e0,e1) = e0 ),
inference(resolve,[$cnf( $equal(e2,e3) )],[refute_0_179,refute_0_88]) ).
cnf(refute_0_181,plain,
( op(e0,e0) != e0
| op(e0,e1) != e0
| op(e0,e0) = op(e0,e1) ),
introduced(tautology,[equality,[$cnf( ~ $equal(op(e0,e0),op(e0,e1)) ),[1],$fot(e0)]]) ).
cnf(refute_0_182,plain,
( op(e0,e0) != e0
| op(e0,e0) = e1
| op(e0,e0) = e2
| op(e0,e0) = e3
| op(e0,e0) = op(e0,e1) ),
inference(resolve,[$cnf( $equal(op(e0,e1),e0) )],[refute_0_180,refute_0_181]) ).
cnf(refute_0_183,plain,
( op(e0,e0) != e0
| op(e0,e0) = e1
| op(e0,e0) = e2
| op(e0,e0) = e3 ),
inference(resolve,[$cnf( $equal(op(e0,e0),op(e0,e1)) )],[refute_0_182,refute_0_100]) ).
cnf(refute_0_184,plain,
( op(e0,e0) != e0
| op(e0,e0) != e1
| e0 = e1 ),
introduced(tautology,[equality,[$cnf( $equal(op(e0,e0),e1) ),[0],$fot(e0)]]) ).
cnf(refute_0_185,plain,
( op(e0,e0) != e0
| e0 = e1
| op(e0,e0) = e2
| op(e0,e0) = e3 ),
inference(resolve,[$cnf( $equal(op(e0,e0),e1) )],[refute_0_183,refute_0_184]) ).
cnf(refute_0_186,plain,
( op(e0,e0) != e0
| op(e0,e0) != e2
| e0 = e2 ),
introduced(tautology,[equality,[$cnf( $equal(op(e0,e0),e2) ),[0],$fot(e0)]]) ).
cnf(refute_0_187,plain,
( op(e0,e0) != e0
| e0 = e1
| e0 = e2
| op(e0,e0) = e3 ),
inference(resolve,[$cnf( $equal(op(e0,e0),e2) )],[refute_0_185,refute_0_186]) ).
cnf(refute_0_188,plain,
( op(e0,e0) != e0
| op(e0,e0) != e3
| e0 = e3 ),
introduced(tautology,[equality,[$cnf( $equal(op(e0,e0),e3) ),[0],$fot(e0)]]) ).
cnf(refute_0_189,plain,
( op(e0,e0) != e0
| e0 = e1
| e0 = e2
| e0 = e3 ),
inference(resolve,[$cnf( $equal(op(e0,e0),e3) )],[refute_0_187,refute_0_188]) ).
cnf(refute_0_190,plain,
( op(e0,e0) != e0
| e0 = e2
| e0 = e3 ),
inference(resolve,[$cnf( $equal(e0,e1) )],[refute_0_189,refute_0_170]) ).
cnf(refute_0_191,plain,
( op(e0,e0) != e0
| e0 = e3 ),
inference(resolve,[$cnf( $equal(e0,e2) )],[refute_0_190,refute_0_80]) ).
cnf(refute_0_192,plain,
op(e0,e0) != e0,
inference(resolve,[$cnf( $equal(e0,e3) )],[refute_0_191,refute_0_137]) ).
cnf(refute_0_193,plain,
( op(e0,e0) = e1
| op(e0,e0) = e3
| op(e0,e1) = e1
| op(e0,e2) = e1
| op(e1,e1) = e0 ),
inference(resolve,[$cnf( $equal(op(e0,e0),e0) )],[refute_0_99,refute_0_192]) ).
cnf(refute_0_194,plain,
( op(e1,e1) != e3
| e0 = e3
| op(e0,e0) = e1
| op(e0,e0) = e3
| op(e0,e1) = e1
| op(e0,e2) = e1 ),
inference(resolve,[$cnf( $equal(op(e1,e1),e0) )],[refute_0_193,refute_0_174]) ).
cnf(refute_0_195,plain,
( e0 = e3
| op(e0,e0) = e1
| op(e0,e0) = e3
| op(e0,e1) = e1
| op(e0,e2) = e1 ),
inference(resolve,[$cnf( $equal(op(e1,e1),e3) )],[refute_0_28,refute_0_194]) ).
cnf(refute_0_196,plain,
( op(e0,e0) = e1
| op(e0,e0) = e3
| op(e0,e1) = e1
| op(e0,e2) = e1 ),
inference(resolve,[$cnf( $equal(e0,e3) )],[refute_0_195,refute_0_137]) ).
cnf(refute_0_197,plain,
( e0 != op(op(e2,e2),e2)
| e1 != op(e2,e2)
| e3 != op(op(e2,e2),op(e2,e2)) ),
inference(canonicalize,[],[normalize_0_34]) ).
cnf(refute_0_198,plain,
( e1 != e1
| e1 != op(e2,e2)
| op(e2,e2) = e1 ),
introduced(tautology,[equality,[$cnf( $equal(e1,e1) ),[0],$fot(op(e2,e2))]]) ).
cnf(refute_0_199,plain,
( e1 != op(e2,e2)
| op(e2,e2) = e1 ),
inference(resolve,[$cnf( $equal(e1,e1) )],[refute_0_22,refute_0_198]) ).
cnf(refute_0_200,plain,
op(e1,op(e2,e2)) = op(e1,op(e2,e2)),
introduced(tautology,[refl,[$fot(op(e1,op(e2,e2)))]]) ).
cnf(refute_0_201,plain,
( op(e1,op(e2,e2)) != op(e1,op(e2,e2))
| op(e2,e2) != e1
| op(e1,op(e2,e2)) = op(e1,e1) ),
introduced(tautology,[equality,[$cnf( $equal(op(e1,op(e2,e2)),op(e1,op(e2,e2))) ),[1,1],$fot(e1)]]) ).
cnf(refute_0_202,plain,
( op(e2,e2) != e1
| op(e1,op(e2,e2)) = op(e1,e1) ),
inference(resolve,[$cnf( $equal(op(e1,op(e2,e2)),op(e1,op(e2,e2))) )],[refute_0_200,refute_0_201]) ).
cnf(refute_0_203,plain,
( e1 != op(e2,e2)
| op(e1,op(e2,e2)) = op(e1,e1) ),
inference(resolve,[$cnf( $equal(op(e2,e2),e1) )],[refute_0_199,refute_0_202]) ).
cnf(refute_0_204,plain,
op(op(e2,e2),op(e2,e2)) = op(op(e2,e2),op(e2,e2)),
introduced(tautology,[refl,[$fot(op(op(e2,e2),op(e2,e2)))]]) ).
cnf(refute_0_205,plain,
( op(e2,e2) != e1
| op(op(e2,e2),op(e2,e2)) != op(op(e2,e2),op(e2,e2))
| op(op(e2,e2),op(e2,e2)) = op(e1,op(e2,e2)) ),
introduced(tautology,[equality,[$cnf( $equal(op(op(e2,e2),op(e2,e2)),op(op(e2,e2),op(e2,e2))) ),[1,0],$fot(e1)]]) ).
cnf(refute_0_206,plain,
( op(e2,e2) != e1
| op(op(e2,e2),op(e2,e2)) = op(e1,op(e2,e2)) ),
inference(resolve,[$cnf( $equal(op(op(e2,e2),op(e2,e2)),op(op(e2,e2),op(e2,e2))) )],[refute_0_204,refute_0_205]) ).
cnf(refute_0_207,plain,
( e1 != op(e2,e2)
| op(op(e2,e2),op(e2,e2)) = op(e1,op(e2,e2)) ),
inference(resolve,[$cnf( $equal(op(e2,e2),e1) )],[refute_0_199,refute_0_206]) ).
cnf(refute_0_208,plain,
( op(e1,op(e2,e2)) != op(e1,e1)
| op(op(e2,e2),op(e2,e2)) != op(e1,op(e2,e2))
| op(op(e2,e2),op(e2,e2)) = op(e1,e1) ),
inference(subst,[],[refute_0_44:[bind(X,$fot(op(op(e2,e2),op(e2,e2)))),bind(Y,$fot(op(e1,op(e2,e2)))),bind(Z,$fot(op(e1,e1)))]]) ).
cnf(refute_0_209,plain,
( e1 != op(e2,e2)
| op(e1,op(e2,e2)) != op(e1,e1)
| op(op(e2,e2),op(e2,e2)) = op(e1,e1) ),
inference(resolve,[$cnf( $equal(op(op(e2,e2),op(e2,e2)),op(e1,op(e2,e2))) )],[refute_0_207,refute_0_208]) ).
cnf(refute_0_210,plain,
( e1 != op(e2,e2)
| op(op(e2,e2),op(e2,e2)) = op(e1,e1) ),
inference(resolve,[$cnf( $equal(op(e1,op(e2,e2)),op(e1,e1)) )],[refute_0_203,refute_0_209]) ).
cnf(refute_0_211,plain,
( e3 != op(e1,e1)
| op(op(e2,e2),op(e2,e2)) != op(e1,e1)
| e3 = op(op(e2,e2),op(e2,e2)) ),
introduced(tautology,[equality,[$cnf( ~ $equal(e3,op(op(e2,e2),op(e2,e2))) ),[1],$fot(op(e1,e1))]]) ).
cnf(refute_0_212,plain,
( e1 != op(e2,e2)
| e3 != op(e1,e1)
| e3 = op(op(e2,e2),op(e2,e2)) ),
inference(resolve,[$cnf( $equal(op(op(e2,e2),op(e2,e2)),op(e1,e1)) )],[refute_0_210,refute_0_211]) ).
cnf(refute_0_213,plain,
( e0 != op(op(e2,e2),e2)
| e1 != op(e2,e2)
| e3 != op(e1,e1) ),
inference(resolve,[$cnf( $equal(e3,op(op(e2,e2),op(e2,e2))) )],[refute_0_212,refute_0_197]) ).
cnf(refute_0_214,plain,
op(op(e2,e2),e2) = op(op(e2,e2),e2),
introduced(tautology,[refl,[$fot(op(op(e2,e2),e2))]]) ).
cnf(refute_0_215,plain,
( op(e2,e2) != e1
| op(op(e2,e2),e2) != op(op(e2,e2),e2)
| op(op(e2,e2),e2) = op(e1,e2) ),
introduced(tautology,[equality,[$cnf( $equal(op(op(e2,e2),e2),op(op(e2,e2),e2)) ),[1,0],$fot(e1)]]) ).
cnf(refute_0_216,plain,
( op(e2,e2) != e1
| op(op(e2,e2),e2) = op(e1,e2) ),
inference(resolve,[$cnf( $equal(op(op(e2,e2),e2),op(op(e2,e2),e2)) )],[refute_0_214,refute_0_215]) ).
cnf(refute_0_217,plain,
( e1 != op(e2,e2)
| op(op(e2,e2),e2) = op(e1,e2) ),
inference(resolve,[$cnf( $equal(op(e2,e2),e1) )],[refute_0_199,refute_0_216]) ).
cnf(refute_0_218,plain,
( e0 != op(e1,e2)
| op(op(e2,e2),e2) != op(e1,e2)
| e0 = op(op(e2,e2),e2) ),
introduced(tautology,[equality,[$cnf( ~ $equal(e0,op(op(e2,e2),e2)) ),[1],$fot(op(e1,e2))]]) ).
cnf(refute_0_219,plain,
( e0 != op(e1,e2)
| e1 != op(e2,e2)
| e0 = op(op(e2,e2),e2) ),
inference(resolve,[$cnf( $equal(op(op(e2,e2),e2),op(e1,e2)) )],[refute_0_217,refute_0_218]) ).
cnf(refute_0_220,plain,
( e0 != op(e1,e2)
| e1 != op(e2,e2)
| e3 != op(e1,e1) ),
inference(resolve,[$cnf( $equal(e0,op(op(e2,e2),e2)) )],[refute_0_219,refute_0_213]) ).
cnf(refute_0_221,plain,
( op(e1,e1) != e3
| op(e0,e0) = e1
| op(e2,e2) = e1 ),
inference(canonicalize,[],[normalize_0_35]) ).
cnf(refute_0_222,plain,
( op(e1,e1) = e0
| op(e1,e1) = e1
| op(e1,e1) = e2
| op(e1,e1) = e3 ),
inference(canonicalize,[],[normalize_0_36]) ).
cnf(refute_0_223,plain,
( e3 != e3
| op(e1,e1) != e3
| op(e1,e1) = e3 ),
introduced(tautology,[equality,[$cnf( $equal(op(e1,e1),e3) ),[1],$fot(e3)]]) ).
cnf(refute_0_224,plain,
( e3 != e3
| op(e1,e1) = e0
| op(e1,e1) = e1
| op(e1,e1) = e2
| op(e1,e1) = e3 ),
inference(resolve,[$cnf( $equal(op(e1,e1),e3) )],[refute_0_222,refute_0_223]) ).
cnf(refute_0_225,plain,
( e3 != e3
| op(e0,e0) = e1
| op(e1,e1) = e0
| op(e1,e1) = e1
| op(e1,e1) = e2
| op(e2,e2) = e1 ),
inference(resolve,[$cnf( $equal(op(e1,e1),e3) )],[refute_0_224,refute_0_221]) ).
cnf(refute_0_226,plain,
( op(e0,e0) = e1
| op(e1,e1) = e0
| op(e1,e1) = e1
| op(e1,e1) = e2
| op(e2,e2) = e1 ),
inference(resolve,[$cnf( $equal(e3,e3) )],[refute_0_128,refute_0_225]) ).
cnf(refute_0_227,plain,
( e1 != e1
| op(e2,e2) != e1
| e1 = op(e2,e2) ),
introduced(tautology,[equality,[$cnf( ~ $equal(e1,op(e2,e2)) ),[1],$fot(e1)]]) ).
cnf(refute_0_228,plain,
( e1 != e1
| e1 = op(e2,e2)
| op(e0,e0) = e1
| op(e1,e1) = e0
| op(e1,e1) = e1
| op(e1,e1) = e2 ),
inference(resolve,[$cnf( $equal(op(e2,e2),e1) )],[refute_0_226,refute_0_227]) ).
cnf(refute_0_229,plain,
( e0 != op(e1,e2)
| e1 != e1
| e3 != op(e1,e1)
| op(e0,e0) = e1
| op(e1,e1) = e0
| op(e1,e1) = e1
| op(e1,e1) = e2 ),
inference(resolve,[$cnf( $equal(e1,op(e2,e2)) )],[refute_0_228,refute_0_220]) ).
cnf(refute_0_230,plain,
( e0 != op(e1,e2)
| e3 != op(e1,e1)
| op(e0,e0) = e1
| op(e1,e1) = e0
| op(e1,e1) = e1
| op(e1,e1) = e2 ),
inference(resolve,[$cnf( $equal(e1,e1) )],[refute_0_22,refute_0_229]) ).
cnf(refute_0_231,plain,
( e3 != e3
| e3 != op(e1,e1)
| op(e1,e1) = e3 ),
introduced(tautology,[equality,[$cnf( $equal(e3,e3) ),[0],$fot(op(e1,e1))]]) ).
cnf(refute_0_232,plain,
( e3 != op(e1,e1)
| op(e1,e1) = e3 ),
inference(resolve,[$cnf( $equal(e3,e3) )],[refute_0_128,refute_0_231]) ).
cnf(refute_0_233,plain,
( op(e1,e1) != e0
| op(e1,e1) != e3
| e3 = e0 ),
introduced(tautology,[equality,[$cnf( $equal(op(e1,e1),e0) ),[0],$fot(e3)]]) ).
cnf(refute_0_234,plain,
( e3 != op(e1,e1)
| op(e1,e1) != e0
| e3 = e0 ),
inference(resolve,[$cnf( $equal(op(e1,e1),e3) )],[refute_0_232,refute_0_233]) ).
cnf(refute_0_235,plain,
( e0 != op(e1,e2)
| e3 != op(e1,e1)
| e3 = e0
| op(e0,e0) = e1
| op(e1,e1) = e1
| op(e1,e1) = e2 ),
inference(resolve,[$cnf( $equal(op(e1,e1),e0) )],[refute_0_230,refute_0_234]) ).
cnf(refute_0_236,plain,
( op(e1,e1) != e1
| op(e1,e1) != e3
| e3 = e1 ),
introduced(tautology,[equality,[$cnf( $equal(op(e1,e1),e1) ),[0],$fot(e3)]]) ).
cnf(refute_0_237,plain,
( e3 != op(e1,e1)
| op(e1,e1) != e1
| e3 = e1 ),
inference(resolve,[$cnf( $equal(op(e1,e1),e3) )],[refute_0_232,refute_0_236]) ).
cnf(refute_0_238,plain,
( e0 != op(e1,e2)
| e3 != op(e1,e1)
| e3 = e0
| e3 = e1
| op(e0,e0) = e1
| op(e1,e1) = e2 ),
inference(resolve,[$cnf( $equal(op(e1,e1),e1) )],[refute_0_235,refute_0_237]) ).
cnf(refute_0_239,plain,
( op(e1,e1) != e2
| op(e1,e1) != e3
| e3 = e2 ),
introduced(tautology,[equality,[$cnf( $equal(op(e1,e1),e2) ),[0],$fot(e3)]]) ).
cnf(refute_0_240,plain,
( e3 != op(e1,e1)
| op(e1,e1) != e2
| e3 = e2 ),
inference(resolve,[$cnf( $equal(op(e1,e1),e3) )],[refute_0_232,refute_0_239]) ).
cnf(refute_0_241,plain,
( e0 != op(e1,e2)
| e3 != op(e1,e1)
| e3 = e0
| e3 = e1
| e3 = e2
| op(e0,e0) = e1 ),
inference(resolve,[$cnf( $equal(op(e1,e1),e2) )],[refute_0_238,refute_0_240]) ).
cnf(refute_0_242,plain,
( e3 != e0
| e0 = e3 ),
inference(subst,[],[refute_0_42:[bind(X,$fot(e3)),bind(Y,$fot(e0))]]) ).
cnf(refute_0_243,plain,
e3 != e0,
inference(resolve,[$cnf( $equal(e0,e3) )],[refute_0_242,refute_0_137]) ).
cnf(refute_0_244,plain,
( e0 != op(e1,e2)
| e3 != op(e1,e1)
| e3 = e1
| e3 = e2
| op(e0,e0) = e1 ),
inference(resolve,[$cnf( $equal(e3,e0) )],[refute_0_241,refute_0_243]) ).
cnf(refute_0_245,plain,
( e3 != e1
| e1 = e3 ),
inference(subst,[],[refute_0_42:[bind(X,$fot(e3)),bind(Y,$fot(e1))]]) ).
cnf(refute_0_246,plain,
e3 != e1,
inference(resolve,[$cnf( $equal(e1,e3) )],[refute_0_245,refute_0_27]) ).
cnf(refute_0_247,plain,
( e0 != op(e1,e2)
| e3 != op(e1,e1)
| e3 = e2
| op(e0,e0) = e1 ),
inference(resolve,[$cnf( $equal(e3,e1) )],[refute_0_244,refute_0_246]) ).
cnf(refute_0_248,plain,
( e3 != e2
| e2 = e3 ),
inference(subst,[],[refute_0_42:[bind(X,$fot(e3)),bind(Y,$fot(e2))]]) ).
cnf(refute_0_249,plain,
e3 != e2,
inference(resolve,[$cnf( $equal(e2,e3) )],[refute_0_248,refute_0_88]) ).
cnf(refute_0_250,plain,
( e0 != op(e1,e2)
| e3 != op(e1,e1)
| op(e0,e0) = e1 ),
inference(resolve,[$cnf( $equal(e3,e2) )],[refute_0_247,refute_0_249]) ).
cnf(refute_0_251,plain,
op(e3,e2) != op(e3,e3),
inference(canonicalize,[],[normalize_0_37]) ).
cnf(refute_0_252,plain,
( op(e3,e2) != e0
| op(e3,e3) != e0
| op(e3,e2) = op(e3,e3) ),
introduced(tautology,[equality,[$cnf( ~ $equal(op(e3,e2),op(e3,e3)) ),[1],$fot(e0)]]) ).
cnf(refute_0_253,plain,
( op(e3,e2) != e0
| op(e1,e1) = e0
| op(e2,e2) = e0
| op(e3,e2) = op(e3,e3) ),
inference(resolve,[$cnf( $equal(op(e3,e3),e0) )],[refute_0_2,refute_0_252]) ).
cnf(refute_0_254,plain,
( op(e3,e2) != e0
| op(e1,e1) = e0
| op(e2,e2) = e0 ),
inference(resolve,[$cnf( $equal(op(e3,e2),op(e3,e3)) )],[refute_0_253,refute_0_251]) ).
cnf(refute_0_255,plain,
( op(e0,e2) = e0
| op(e1,e2) = e0
| op(e2,e2) = e0
| op(e3,e2) = e0 ),
inference(canonicalize,[],[normalize_0_38]) ).
cnf(refute_0_256,plain,
( e0 != e0
| op(e3,e2) != e0
| op(e3,e2) = e0 ),
introduced(tautology,[equality,[$cnf( $equal(op(e3,e2),e0) ),[1],$fot(e0)]]) ).
cnf(refute_0_257,plain,
( e0 != e0
| op(e0,e2) = e0
| op(e1,e2) = e0
| op(e2,e2) = e0
| op(e3,e2) = e0 ),
inference(resolve,[$cnf( $equal(op(e3,e2),e0) )],[refute_0_255,refute_0_256]) ).
cnf(refute_0_258,plain,
( e0 != e0
| op(e0,e2) = e0
| op(e1,e1) = e0
| op(e1,e2) = e0
| op(e2,e2) = e0 ),
inference(resolve,[$cnf( $equal(op(e3,e2),e0) )],[refute_0_257,refute_0_254]) ).
cnf(refute_0_259,plain,
( op(e0,e2) = e0
| op(e1,e1) = e0
| op(e1,e2) = e0
| op(e2,e2) = e0 ),
inference(resolve,[$cnf( $equal(e0,e0) )],[refute_0_10,refute_0_258]) ).
cnf(refute_0_260,plain,
( op(e2,e2) != e0
| e1 = e0
| op(e0,e0) = e1
| op(e1,e1) = e0
| op(e1,e1) = e1
| op(e1,e1) = e2 ),
inference(resolve,[$cnf( $equal(op(e2,e2),e1) )],[refute_0_226,refute_0_167]) ).
cnf(refute_0_261,plain,
( e1 = e0
| op(e0,e0) = e1
| op(e0,e2) = e0
| op(e1,e1) = e0
| op(e1,e1) = e1
| op(e1,e1) = e2
| op(e1,e2) = e0 ),
inference(resolve,[$cnf( $equal(op(e2,e2),e0) )],[refute_0_259,refute_0_260]) ).
cnf(refute_0_262,plain,
( op(e0,e0) = e1
| op(e0,e2) = e0
| op(e1,e1) = e0
| op(e1,e1) = e1
| op(e1,e1) = e2
| op(e1,e2) = e0 ),
inference(resolve,[$cnf( $equal(e1,e0) )],[refute_0_261,refute_0_172]) ).
cnf(refute_0_263,plain,
( e0 != e0
| op(e1,e2) != e0
| e0 = op(e1,e2) ),
introduced(tautology,[equality,[$cnf( ~ $equal(e0,op(e1,e2)) ),[1],$fot(e0)]]) ).
cnf(refute_0_264,plain,
( e0 != e0
| e0 = op(e1,e2)
| op(e0,e0) = e1
| op(e0,e2) = e0
| op(e1,e1) = e0
| op(e1,e1) = e1
| op(e1,e1) = e2 ),
inference(resolve,[$cnf( $equal(op(e1,e2),e0) )],[refute_0_262,refute_0_263]) ).
cnf(refute_0_265,plain,
( e0 != e0
| e3 != op(e1,e1)
| op(e0,e0) = e1
| op(e0,e2) = e0
| op(e1,e1) = e0
| op(e1,e1) = e1
| op(e1,e1) = e2 ),
inference(resolve,[$cnf( $equal(e0,op(e1,e2)) )],[refute_0_264,refute_0_250]) ).
cnf(refute_0_266,plain,
( e3 != op(e1,e1)
| op(e0,e0) = e1
| op(e0,e2) = e0
| op(e1,e1) = e0
| op(e1,e1) = e1
| op(e1,e1) = e2 ),
inference(resolve,[$cnf( $equal(e0,e0) )],[refute_0_10,refute_0_265]) ).
cnf(refute_0_267,plain,
( e3 != op(e1,e1)
| e3 = e0
| op(e0,e0) = e1
| op(e0,e2) = e0
| op(e1,e1) = e1
| op(e1,e1) = e2 ),
inference(resolve,[$cnf( $equal(op(e1,e1),e0) )],[refute_0_266,refute_0_234]) ).
cnf(refute_0_268,plain,
( e3 != op(e1,e1)
| e3 = e0
| e3 = e1
| op(e0,e0) = e1
| op(e0,e2) = e0
| op(e1,e1) = e2 ),
inference(resolve,[$cnf( $equal(op(e1,e1),e1) )],[refute_0_267,refute_0_237]) ).
cnf(refute_0_269,plain,
( e3 != op(e1,e1)
| e3 = e0
| e3 = e1
| e3 = e2
| op(e0,e0) = e1
| op(e0,e2) = e0 ),
inference(resolve,[$cnf( $equal(op(e1,e1),e2) )],[refute_0_268,refute_0_240]) ).
cnf(refute_0_270,plain,
( e3 != op(e1,e1)
| e3 = e1
| e3 = e2
| op(e0,e0) = e1
| op(e0,e2) = e0 ),
inference(resolve,[$cnf( $equal(e3,e0) )],[refute_0_269,refute_0_243]) ).
cnf(refute_0_271,plain,
( e3 != op(e1,e1)
| e3 = e2
| op(e0,e0) = e1
| op(e0,e2) = e0 ),
inference(resolve,[$cnf( $equal(e3,e1) )],[refute_0_270,refute_0_246]) ).
cnf(refute_0_272,plain,
( e3 != op(e1,e1)
| op(e0,e0) = e1
| op(e0,e2) = e0 ),
inference(resolve,[$cnf( $equal(e3,e2) )],[refute_0_271,refute_0_249]) ).
cnf(refute_0_273,plain,
op(e1,e1) != op(e1,e2),
inference(canonicalize,[],[normalize_0_39]) ).
cnf(refute_0_274,plain,
( e0 != op(op(e2,e2),e2)
| e1 != op(op(e2,e2),op(e2,e2))
| e3 != op(e2,e2) ),
inference(canonicalize,[],[normalize_0_40]) ).
cnf(refute_0_275,plain,
( e3 != e3
| e3 != op(e2,e2)
| op(e2,e2) = e3 ),
introduced(tautology,[equality,[$cnf( $equal(e3,e3) ),[0],$fot(op(e2,e2))]]) ).
cnf(refute_0_276,plain,
( e3 != op(e2,e2)
| op(e2,e2) = e3 ),
inference(resolve,[$cnf( $equal(e3,e3) )],[refute_0_128,refute_0_275]) ).
cnf(refute_0_277,plain,
op(e3,op(e2,e2)) = op(e3,op(e2,e2)),
introduced(tautology,[refl,[$fot(op(e3,op(e2,e2)))]]) ).
cnf(refute_0_278,plain,
( op(e2,e2) != e3
| op(e3,op(e2,e2)) != op(e3,op(e2,e2))
| op(e3,op(e2,e2)) = op(e3,e3) ),
introduced(tautology,[equality,[$cnf( $equal(op(e3,op(e2,e2)),op(e3,op(e2,e2))) ),[1,1],$fot(e3)]]) ).
cnf(refute_0_279,plain,
( op(e2,e2) != e3
| op(e3,op(e2,e2)) = op(e3,e3) ),
inference(resolve,[$cnf( $equal(op(e3,op(e2,e2)),op(e3,op(e2,e2))) )],[refute_0_277,refute_0_278]) ).
cnf(refute_0_280,plain,
( e3 != op(e2,e2)
| op(e3,op(e2,e2)) = op(e3,e3) ),
inference(resolve,[$cnf( $equal(op(e2,e2),e3) )],[refute_0_276,refute_0_279]) ).
cnf(refute_0_281,plain,
( op(e2,e2) != e3
| op(op(e2,e2),op(e2,e2)) != op(op(e2,e2),op(e2,e2))
| op(op(e2,e2),op(e2,e2)) = op(e3,op(e2,e2)) ),
introduced(tautology,[equality,[$cnf( $equal(op(op(e2,e2),op(e2,e2)),op(op(e2,e2),op(e2,e2))) ),[1,0],$fot(e3)]]) ).
cnf(refute_0_282,plain,
( op(e2,e2) != e3
| op(op(e2,e2),op(e2,e2)) = op(e3,op(e2,e2)) ),
inference(resolve,[$cnf( $equal(op(op(e2,e2),op(e2,e2)),op(op(e2,e2),op(e2,e2))) )],[refute_0_204,refute_0_281]) ).
cnf(refute_0_283,plain,
( e3 != op(e2,e2)
| op(op(e2,e2),op(e2,e2)) = op(e3,op(e2,e2)) ),
inference(resolve,[$cnf( $equal(op(e2,e2),e3) )],[refute_0_276,refute_0_282]) ).
cnf(refute_0_284,plain,
( op(e3,op(e2,e2)) != op(e3,e3)
| op(op(e2,e2),op(e2,e2)) != op(e3,op(e2,e2))
| op(op(e2,e2),op(e2,e2)) = op(e3,e3) ),
inference(subst,[],[refute_0_44:[bind(X,$fot(op(op(e2,e2),op(e2,e2)))),bind(Y,$fot(op(e3,op(e2,e2)))),bind(Z,$fot(op(e3,e3)))]]) ).
cnf(refute_0_285,plain,
( e3 != op(e2,e2)
| op(e3,op(e2,e2)) != op(e3,e3)
| op(op(e2,e2),op(e2,e2)) = op(e3,e3) ),
inference(resolve,[$cnf( $equal(op(op(e2,e2),op(e2,e2)),op(e3,op(e2,e2))) )],[refute_0_283,refute_0_284]) ).
cnf(refute_0_286,plain,
( e3 != op(e2,e2)
| op(op(e2,e2),op(e2,e2)) = op(e3,e3) ),
inference(resolve,[$cnf( $equal(op(e3,op(e2,e2)),op(e3,e3)) )],[refute_0_280,refute_0_285]) ).
cnf(refute_0_287,plain,
( e1 != op(e3,e3)
| op(op(e2,e2),op(e2,e2)) != op(e3,e3)
| e1 = op(op(e2,e2),op(e2,e2)) ),
introduced(tautology,[equality,[$cnf( ~ $equal(e1,op(op(e2,e2),op(e2,e2))) ),[1],$fot(op(e3,e3))]]) ).
cnf(refute_0_288,plain,
( e1 != op(e3,e3)
| e3 != op(e2,e2)
| e1 = op(op(e2,e2),op(e2,e2)) ),
inference(resolve,[$cnf( $equal(op(op(e2,e2),op(e2,e2)),op(e3,e3)) )],[refute_0_286,refute_0_287]) ).
cnf(refute_0_289,plain,
( e0 != op(op(e2,e2),e2)
| e1 != op(e3,e3)
| e3 != op(e2,e2) ),
inference(resolve,[$cnf( $equal(e1,op(op(e2,e2),op(e2,e2))) )],[refute_0_288,refute_0_274]) ).
cnf(refute_0_290,plain,
( op(e2,e2) != e3
| op(op(e2,e2),e2) != op(op(e2,e2),e2)
| op(op(e2,e2),e2) = op(e3,e2) ),
introduced(tautology,[equality,[$cnf( $equal(op(op(e2,e2),e2),op(op(e2,e2),e2)) ),[1,0],$fot(e3)]]) ).
cnf(refute_0_291,plain,
( op(e2,e2) != e3
| op(op(e2,e2),e2) = op(e3,e2) ),
inference(resolve,[$cnf( $equal(op(op(e2,e2),e2),op(op(e2,e2),e2)) )],[refute_0_214,refute_0_290]) ).
cnf(refute_0_292,plain,
( e3 != op(e2,e2)
| op(op(e2,e2),e2) = op(e3,e2) ),
inference(resolve,[$cnf( $equal(op(e2,e2),e3) )],[refute_0_276,refute_0_291]) ).
cnf(refute_0_293,plain,
( e0 != op(e3,e2)
| op(op(e2,e2),e2) != op(e3,e2)
| e0 = op(op(e2,e2),e2) ),
introduced(tautology,[equality,[$cnf( ~ $equal(e0,op(op(e2,e2),e2)) ),[1],$fot(op(e3,e2))]]) ).
cnf(refute_0_294,plain,
( e0 != op(e3,e2)
| e3 != op(e2,e2)
| e0 = op(op(e2,e2),e2) ),
inference(resolve,[$cnf( $equal(op(op(e2,e2),e2),op(e3,e2)) )],[refute_0_292,refute_0_293]) ).
cnf(refute_0_295,plain,
( e0 != op(e3,e2)
| e1 != op(e3,e3)
| e3 != op(e2,e2) ),
inference(resolve,[$cnf( $equal(e0,op(op(e2,e2),e2)) )],[refute_0_294,refute_0_289]) ).
cnf(refute_0_296,plain,
( e1 != e1
| op(e3,e3) != e1
| e1 = op(e3,e3) ),
introduced(tautology,[equality,[$cnf( ~ $equal(e1,op(e3,e3)) ),[1],$fot(e1)]]) ).
cnf(refute_0_297,plain,
( e1 != e1
| e1 = op(e3,e3)
| op(e0,e0) = e1
| op(e2,e2) = e1 ),
inference(resolve,[$cnf( $equal(op(e3,e3),e1) )],[refute_0_14,refute_0_296]) ).
cnf(refute_0_298,plain,
( e0 != op(e3,e2)
| e1 != e1
| e3 != op(e2,e2)
| op(e0,e0) = e1
| op(e2,e2) = e1 ),
inference(resolve,[$cnf( $equal(e1,op(e3,e3)) )],[refute_0_297,refute_0_295]) ).
cnf(refute_0_299,plain,
( e0 != op(e3,e2)
| e3 != op(e2,e2)
| op(e0,e0) = e1
| op(e2,e2) = e1 ),
inference(resolve,[$cnf( $equal(e1,e1) )],[refute_0_22,refute_0_298]) ).
cnf(refute_0_300,plain,
( op(e2,e2) != e1
| op(e2,e2) != e3
| e3 = e1 ),
introduced(tautology,[equality,[$cnf( $equal(op(e2,e2),e1) ),[0],$fot(e3)]]) ).
cnf(refute_0_301,plain,
( e3 != op(e2,e2)
| op(e2,e2) != e1
| e3 = e1 ),
inference(resolve,[$cnf( $equal(op(e2,e2),e3) )],[refute_0_276,refute_0_300]) ).
cnf(refute_0_302,plain,
( e0 != op(e3,e2)
| e3 != op(e2,e2)
| e3 = e1
| op(e0,e0) = e1 ),
inference(resolve,[$cnf( $equal(op(e2,e2),e1) )],[refute_0_299,refute_0_301]) ).
cnf(refute_0_303,plain,
( e0 != op(e3,e2)
| e3 != op(e2,e2)
| op(e0,e0) = e1 ),
inference(resolve,[$cnf( $equal(e3,e1) )],[refute_0_302,refute_0_246]) ).
cnf(refute_0_304,plain,
( e0 != e0
| op(e3,e2) != e0
| e0 = op(e3,e2) ),
introduced(tautology,[equality,[$cnf( ~ $equal(e0,op(e3,e2)) ),[1],$fot(e0)]]) ).
cnf(refute_0_305,plain,
( e0 != e0
| e0 = op(e3,e2)
| op(e0,e2) = e0
| op(e1,e2) = e0
| op(e2,e2) = e0 ),
inference(resolve,[$cnf( $equal(op(e3,e2),e0) )],[refute_0_255,refute_0_304]) ).
cnf(refute_0_306,plain,
( e0 != e0
| e3 != op(e2,e2)
| op(e0,e0) = e1
| op(e0,e2) = e0
| op(e1,e2) = e0
| op(e2,e2) = e0 ),
inference(resolve,[$cnf( $equal(e0,op(e3,e2)) )],[refute_0_305,refute_0_303]) ).
cnf(refute_0_307,plain,
( e3 != op(e2,e2)
| op(e0,e0) = e1
| op(e0,e2) = e0
| op(e1,e2) = e0
| op(e2,e2) = e0 ),
inference(resolve,[$cnf( $equal(e0,e0) )],[refute_0_10,refute_0_306]) ).
cnf(refute_0_308,plain,
( op(e2,e2) != e0
| op(e2,e2) != e3
| e3 = e0 ),
introduced(tautology,[equality,[$cnf( $equal(op(e2,e2),e0) ),[0],$fot(e3)]]) ).
cnf(refute_0_309,plain,
( e3 != op(e2,e2)
| op(e2,e2) != e0
| e3 = e0 ),
inference(resolve,[$cnf( $equal(op(e2,e2),e3) )],[refute_0_276,refute_0_308]) ).
cnf(refute_0_310,plain,
( e3 != op(e2,e2)
| e3 = e0
| op(e0,e0) = e1
| op(e0,e2) = e0
| op(e1,e2) = e0 ),
inference(resolve,[$cnf( $equal(op(e2,e2),e0) )],[refute_0_307,refute_0_309]) ).
cnf(refute_0_311,plain,
( e3 != op(e2,e2)
| op(e0,e0) = e1
| op(e0,e2) = e0
| op(e1,e2) = e0 ),
inference(resolve,[$cnf( $equal(e3,e0) )],[refute_0_310,refute_0_243]) ).
cnf(refute_0_312,plain,
( e3 != e3
| op(e0,e0) = e1
| op(e0,e0) = e3
| op(e0,e2) = e0
| op(e1,e1) = e3
| op(e1,e2) = e0 ),
inference(resolve,[$cnf( $equal(e3,op(e2,e2)) )],[refute_0_126,refute_0_311]) ).
cnf(refute_0_313,plain,
( op(e0,e0) = e1
| op(e0,e0) = e3
| op(e0,e2) = e0
| op(e1,e1) = e3
| op(e1,e2) = e0 ),
inference(resolve,[$cnf( $equal(e3,e3) )],[refute_0_128,refute_0_312]) ).
cnf(refute_0_314,plain,
( op(e1,e1) != e0
| op(e1,e2) != e0
| op(e1,e1) = op(e1,e2) ),
introduced(tautology,[equality,[$cnf( ~ $equal(op(e1,e1),op(e1,e2)) ),[1],$fot(e0)]]) ).
cnf(refute_0_315,plain,
( op(e1,e1) != e0
| op(e0,e0) = e1
| op(e0,e0) = e3
| op(e0,e2) = e0
| op(e1,e1) = e3
| op(e1,e1) = op(e1,e2) ),
inference(resolve,[$cnf( $equal(op(e1,e2),e0) )],[refute_0_313,refute_0_314]) ).
cnf(refute_0_316,plain,
( op(e1,e1) != e0
| op(e0,e0) = e1
| op(e0,e0) = e3
| op(e0,e2) = e0
| op(e1,e1) = e3 ),
inference(resolve,[$cnf( $equal(op(e1,e1),op(e1,e2)) )],[refute_0_315,refute_0_273]) ).
cnf(refute_0_317,plain,
( op(e1,e1) != e0
| e0 = e3
| op(e0,e0) = e1
| op(e0,e0) = e3
| op(e0,e2) = e0 ),
inference(resolve,[$cnf( $equal(op(e1,e1),e3) )],[refute_0_316,refute_0_174]) ).
cnf(refute_0_318,plain,
( op(e1,e1) != e0
| op(e0,e0) = e1
| op(e0,e0) = e3
| op(e0,e2) = e0 ),
inference(resolve,[$cnf( $equal(e0,e3) )],[refute_0_317,refute_0_137]) ).
cnf(refute_0_319,plain,
( op(e3,e3) != e0
| op(e1,e1) = e3
| op(e2,e2) = e3 ),
inference(canonicalize,[],[normalize_0_41]) ).
cnf(refute_0_320,plain,
( e0 != e0
| op(e3,e3) != e0
| op(e3,e3) = e0 ),
introduced(tautology,[equality,[$cnf( $equal(op(e3,e3),e0) ),[1],$fot(e0)]]) ).
cnf(refute_0_321,plain,
( e0 != e0
| op(e1,e1) = e0
| op(e2,e2) = e0
| op(e3,e3) = e0 ),
inference(resolve,[$cnf( $equal(op(e3,e3),e0) )],[refute_0_2,refute_0_320]) ).
cnf(refute_0_322,plain,
( e0 != e0
| op(e1,e1) = e0
| op(e1,e1) = e3
| op(e2,e2) = e0
| op(e2,e2) = e3 ),
inference(resolve,[$cnf( $equal(op(e3,e3),e0) )],[refute_0_321,refute_0_319]) ).
cnf(refute_0_323,plain,
( op(e1,e1) = e0
| op(e1,e1) = e3
| op(e2,e2) = e0
| op(e2,e2) = e3 ),
inference(resolve,[$cnf( $equal(e0,e0) )],[refute_0_10,refute_0_322]) ).
cnf(refute_0_324,plain,
( op(e3,e3) != e0
| op(e3,e3) != e1
| e1 = e0 ),
introduced(tautology,[equality,[$cnf( $equal(op(e3,e3),e0) ),[0],$fot(e1)]]) ).
cnf(refute_0_325,plain,
( op(e3,e3) != e0
| e1 = e0
| op(e0,e0) = e1
| op(e2,e2) = e1 ),
inference(resolve,[$cnf( $equal(op(e3,e3),e1) )],[refute_0_14,refute_0_324]) ).
cnf(refute_0_326,plain,
( e1 = e0
| op(e0,e0) = e1
| op(e1,e1) = e0
| op(e2,e2) = e0
| op(e2,e2) = e1 ),
inference(resolve,[$cnf( $equal(op(e3,e3),e0) )],[refute_0_2,refute_0_325]) ).
cnf(refute_0_327,plain,
( op(e0,e0) = e1
| op(e1,e1) = e0
| op(e2,e2) = e0
| op(e2,e2) = e1 ),
inference(resolve,[$cnf( $equal(e1,e0) )],[refute_0_326,refute_0_172]) ).
cnf(refute_0_328,plain,
( op(e2,e2) != e3
| e1 = e3
| op(e0,e0) = e1
| op(e1,e1) = e0
| op(e2,e2) = e0 ),
inference(resolve,[$cnf( $equal(op(e2,e2),e1) )],[refute_0_327,refute_0_24]) ).
cnf(refute_0_329,plain,
( e1 = e3
| op(e0,e0) = e1
| op(e1,e1) = e0
| op(e1,e1) = e3
| op(e2,e2) = e0 ),
inference(resolve,[$cnf( $equal(op(e2,e2),e3) )],[refute_0_323,refute_0_328]) ).
cnf(refute_0_330,plain,
( op(e0,e0) = e1
| op(e1,e1) = e0
| op(e1,e1) = e3
| op(e2,e2) = e0 ),
inference(resolve,[$cnf( $equal(e1,e3) )],[refute_0_329,refute_0_27]) ).
cnf(refute_0_331,plain,
( op(e2,e2) != e3
| e0 = e3
| op(e0,e0) = e1
| op(e1,e1) = e0
| op(e1,e1) = e3 ),
inference(resolve,[$cnf( $equal(op(e2,e2),e0) )],[refute_0_330,refute_0_134]) ).
cnf(refute_0_332,plain,
( e0 = e3
| op(e0,e0) = e1
| op(e0,e0) = e3
| op(e1,e1) = e0
| op(e1,e1) = e3 ),
inference(resolve,[$cnf( $equal(op(e2,e2),e3) )],[refute_0_12,refute_0_331]) ).
cnf(refute_0_333,plain,
( op(e0,e0) = e1
| op(e0,e0) = e3
| op(e1,e1) = e0
| op(e1,e1) = e3 ),
inference(resolve,[$cnf( $equal(e0,e3) )],[refute_0_332,refute_0_137]) ).
cnf(refute_0_334,plain,
( e0 != e0
| op(e1,e1) != e0
| op(e1,e1) = e0 ),
introduced(tautology,[equality,[$cnf( $equal(op(e1,e1),e0) ),[1],$fot(e0)]]) ).
cnf(refute_0_335,plain,
( e0 != e0
| op(e0,e0) = e1
| op(e0,e0) = e3
| op(e1,e1) = e0
| op(e1,e1) = e3 ),
inference(resolve,[$cnf( $equal(op(e1,e1),e0) )],[refute_0_333,refute_0_334]) ).
cnf(refute_0_336,plain,
( e0 != e0
| op(e0,e0) = e1
| op(e0,e0) = e3
| op(e0,e2) = e0
| op(e1,e1) = e3 ),
inference(resolve,[$cnf( $equal(op(e1,e1),e0) )],[refute_0_335,refute_0_318]) ).
cnf(refute_0_337,plain,
( op(e0,e0) = e1
| op(e0,e0) = e3
| op(e0,e2) = e0
| op(e1,e1) = e3 ),
inference(resolve,[$cnf( $equal(e0,e0) )],[refute_0_10,refute_0_336]) ).
cnf(refute_0_338,plain,
( e3 != e3
| op(e1,e1) != e3
| e3 = op(e1,e1) ),
introduced(tautology,[equality,[$cnf( ~ $equal(e3,op(e1,e1)) ),[1],$fot(e3)]]) ).
cnf(refute_0_339,plain,
( e3 != e3
| e3 = op(e1,e1)
| op(e0,e0) = e1
| op(e0,e0) = e3
| op(e0,e2) = e0 ),
inference(resolve,[$cnf( $equal(op(e1,e1),e3) )],[refute_0_337,refute_0_338]) ).
cnf(refute_0_340,plain,
( e3 != e3
| op(e0,e0) = e1
| op(e0,e0) = e3
| op(e0,e2) = e0 ),
inference(resolve,[$cnf( $equal(e3,op(e1,e1)) )],[refute_0_339,refute_0_272]) ).
cnf(refute_0_341,plain,
( op(e0,e0) = e1
| op(e0,e0) = e3
| op(e0,e2) = e0 ),
inference(resolve,[$cnf( $equal(e3,e3) )],[refute_0_128,refute_0_340]) ).
cnf(refute_0_342,plain,
( op(e0,e2) != e0
| op(e0,e2) != e1
| e0 = e1 ),
introduced(tautology,[equality,[$cnf( $equal(op(e0,e2),e1) ),[0],$fot(e0)]]) ).
cnf(refute_0_343,plain,
( op(e0,e2) != e1
| e0 = e1
| op(e0,e0) = e1
| op(e0,e0) = e3 ),
inference(resolve,[$cnf( $equal(op(e0,e2),e0) )],[refute_0_341,refute_0_342]) ).
cnf(refute_0_344,plain,
( e0 = e1
| op(e0,e0) = e1
| op(e0,e0) = e3
| op(e0,e1) = e1 ),
inference(resolve,[$cnf( $equal(op(e0,e2),e1) )],[refute_0_196,refute_0_343]) ).
cnf(refute_0_345,plain,
( op(e0,e0) = e1
| op(e0,e0) = e3
| op(e0,e1) = e1 ),
inference(resolve,[$cnf( $equal(e0,e1) )],[refute_0_344,refute_0_170]) ).
cnf(refute_0_346,plain,
op(e1,e0) != op(e3,e0),
inference(canonicalize,[],[normalize_0_42]) ).
cnf(refute_0_347,plain,
( e1 != op(op(e0,e0),op(e0,e0))
| e2 != op(op(e0,e0),e0)
| e3 != op(e0,e0) ),
inference(canonicalize,[],[normalize_0_43]) ).
cnf(refute_0_348,plain,
( e3 != e3
| e3 != op(e0,e0)
| op(e0,e0) = e3 ),
introduced(tautology,[equality,[$cnf( $equal(e3,e3) ),[0],$fot(op(e0,e0))]]) ).
cnf(refute_0_349,plain,
( e3 != op(e0,e0)
| op(e0,e0) = e3 ),
inference(resolve,[$cnf( $equal(e3,e3) )],[refute_0_128,refute_0_348]) ).
cnf(refute_0_350,plain,
op(op(e0,e0),e0) = op(op(e0,e0),e0),
introduced(tautology,[refl,[$fot(op(op(e0,e0),e0))]]) ).
cnf(refute_0_351,plain,
( op(e0,e0) != e3
| op(op(e0,e0),e0) != op(op(e0,e0),e0)
| op(op(e0,e0),e0) = op(e3,e0) ),
introduced(tautology,[equality,[$cnf( $equal(op(op(e0,e0),e0),op(op(e0,e0),e0)) ),[1,0],$fot(e3)]]) ).
cnf(refute_0_352,plain,
( op(e0,e0) != e3
| op(op(e0,e0),e0) = op(e3,e0) ),
inference(resolve,[$cnf( $equal(op(op(e0,e0),e0),op(op(e0,e0),e0)) )],[refute_0_350,refute_0_351]) ).
cnf(refute_0_353,plain,
( e3 != op(e0,e0)
| op(op(e0,e0),e0) = op(e3,e0) ),
inference(resolve,[$cnf( $equal(op(e0,e0),e3) )],[refute_0_349,refute_0_352]) ).
cnf(refute_0_354,plain,
( e2 != op(e3,e0)
| op(op(e0,e0),e0) != op(e3,e0)
| e2 = op(op(e0,e0),e0) ),
introduced(tautology,[equality,[$cnf( ~ $equal(e2,op(op(e0,e0),e0)) ),[1],$fot(op(e3,e0))]]) ).
cnf(refute_0_355,plain,
( e2 != op(e3,e0)
| e3 != op(e0,e0)
| e2 = op(op(e0,e0),e0) ),
inference(resolve,[$cnf( $equal(op(op(e0,e0),e0),op(e3,e0)) )],[refute_0_353,refute_0_354]) ).
cnf(refute_0_356,plain,
( e1 != op(op(e0,e0),op(e0,e0))
| e2 != op(e3,e0)
| e3 != op(e0,e0) ),
inference(resolve,[$cnf( $equal(e2,op(op(e0,e0),e0)) )],[refute_0_355,refute_0_347]) ).
cnf(refute_0_357,plain,
op(e3,op(e0,e0)) = op(e3,op(e0,e0)),
introduced(tautology,[refl,[$fot(op(e3,op(e0,e0)))]]) ).
cnf(refute_0_358,plain,
( op(e0,e0) != e3
| op(e3,op(e0,e0)) != op(e3,op(e0,e0))
| op(e3,op(e0,e0)) = op(e3,e3) ),
introduced(tautology,[equality,[$cnf( $equal(op(e3,op(e0,e0)),op(e3,op(e0,e0))) ),[1,1],$fot(e3)]]) ).
cnf(refute_0_359,plain,
( op(e0,e0) != e3
| op(e3,op(e0,e0)) = op(e3,e3) ),
inference(resolve,[$cnf( $equal(op(e3,op(e0,e0)),op(e3,op(e0,e0))) )],[refute_0_357,refute_0_358]) ).
cnf(refute_0_360,plain,
( e3 != op(e0,e0)
| op(e3,op(e0,e0)) = op(e3,e3) ),
inference(resolve,[$cnf( $equal(op(e0,e0),e3) )],[refute_0_349,refute_0_359]) ).
cnf(refute_0_361,plain,
op(op(e0,e0),op(e0,e0)) = op(op(e0,e0),op(e0,e0)),
introduced(tautology,[refl,[$fot(op(op(e0,e0),op(e0,e0)))]]) ).
cnf(refute_0_362,plain,
( op(e0,e0) != e3
| op(op(e0,e0),op(e0,e0)) != op(op(e0,e0),op(e0,e0))
| op(op(e0,e0),op(e0,e0)) = op(e3,op(e0,e0)) ),
introduced(tautology,[equality,[$cnf( $equal(op(op(e0,e0),op(e0,e0)),op(op(e0,e0),op(e0,e0))) ),[1,0],$fot(e3)]]) ).
cnf(refute_0_363,plain,
( op(e0,e0) != e3
| op(op(e0,e0),op(e0,e0)) = op(e3,op(e0,e0)) ),
inference(resolve,[$cnf( $equal(op(op(e0,e0),op(e0,e0)),op(op(e0,e0),op(e0,e0))) )],[refute_0_361,refute_0_362]) ).
cnf(refute_0_364,plain,
( e3 != op(e0,e0)
| op(op(e0,e0),op(e0,e0)) = op(e3,op(e0,e0)) ),
inference(resolve,[$cnf( $equal(op(e0,e0),e3) )],[refute_0_349,refute_0_363]) ).
cnf(refute_0_365,plain,
( op(e3,op(e0,e0)) != op(e3,e3)
| op(op(e0,e0),op(e0,e0)) != op(e3,op(e0,e0))
| op(op(e0,e0),op(e0,e0)) = op(e3,e3) ),
inference(subst,[],[refute_0_44:[bind(X,$fot(op(op(e0,e0),op(e0,e0)))),bind(Y,$fot(op(e3,op(e0,e0)))),bind(Z,$fot(op(e3,e3)))]]) ).
cnf(refute_0_366,plain,
( e3 != op(e0,e0)
| op(e3,op(e0,e0)) != op(e3,e3)
| op(op(e0,e0),op(e0,e0)) = op(e3,e3) ),
inference(resolve,[$cnf( $equal(op(op(e0,e0),op(e0,e0)),op(e3,op(e0,e0))) )],[refute_0_364,refute_0_365]) ).
cnf(refute_0_367,plain,
( e3 != op(e0,e0)
| op(op(e0,e0),op(e0,e0)) = op(e3,e3) ),
inference(resolve,[$cnf( $equal(op(e3,op(e0,e0)),op(e3,e3)) )],[refute_0_360,refute_0_366]) ).
cnf(refute_0_368,plain,
( e1 != op(e3,e3)
| op(op(e0,e0),op(e0,e0)) != op(e3,e3)
| e1 = op(op(e0,e0),op(e0,e0)) ),
introduced(tautology,[equality,[$cnf( ~ $equal(e1,op(op(e0,e0),op(e0,e0))) ),[1],$fot(op(e3,e3))]]) ).
cnf(refute_0_369,plain,
( e1 != op(e3,e3)
| e3 != op(e0,e0)
| e1 = op(op(e0,e0),op(e0,e0)) ),
inference(resolve,[$cnf( $equal(op(op(e0,e0),op(e0,e0)),op(e3,e3)) )],[refute_0_367,refute_0_368]) ).
cnf(refute_0_370,plain,
( e1 != op(e3,e3)
| e2 != op(e3,e0)
| e3 != op(e0,e0) ),
inference(resolve,[$cnf( $equal(e1,op(op(e0,e0),op(e0,e0))) )],[refute_0_369,refute_0_356]) ).
cnf(refute_0_371,plain,
( op(e1,e1) != e2
| op(e0,e0) = e1
| op(e3,e3) = e1 ),
inference(canonicalize,[],[normalize_0_44]) ).
cnf(refute_0_372,plain,
op(e2,e0) != op(e2,e2),
inference(canonicalize,[],[normalize_0_45]) ).
cnf(refute_0_373,plain,
( e1 != op(op(e0,e0),e0)
| e2 != op(op(e0,e0),op(e0,e0))
| e3 != op(e0,e0) ),
inference(canonicalize,[],[normalize_0_46]) ).
cnf(refute_0_374,plain,
( e2 != op(e3,e3)
| op(op(e0,e0),op(e0,e0)) != op(e3,e3)
| e2 = op(op(e0,e0),op(e0,e0)) ),
introduced(tautology,[equality,[$cnf( ~ $equal(e2,op(op(e0,e0),op(e0,e0))) ),[1],$fot(op(e3,e3))]]) ).
cnf(refute_0_375,plain,
( e2 != op(e3,e3)
| e3 != op(e0,e0)
| e2 = op(op(e0,e0),op(e0,e0)) ),
inference(resolve,[$cnf( $equal(op(op(e0,e0),op(e0,e0)),op(e3,e3)) )],[refute_0_367,refute_0_374]) ).
cnf(refute_0_376,plain,
( e1 != op(op(e0,e0),e0)
| e2 != op(e3,e3)
| e3 != op(e0,e0) ),
inference(resolve,[$cnf( $equal(e2,op(op(e0,e0),op(e0,e0))) )],[refute_0_375,refute_0_373]) ).
cnf(refute_0_377,plain,
( e1 != op(e3,e0)
| op(op(e0,e0),e0) != op(e3,e0)
| e1 = op(op(e0,e0),e0) ),
introduced(tautology,[equality,[$cnf( ~ $equal(e1,op(op(e0,e0),e0)) ),[1],$fot(op(e3,e0))]]) ).
cnf(refute_0_378,plain,
( e1 != op(e3,e0)
| e3 != op(e0,e0)
| e1 = op(op(e0,e0),e0) ),
inference(resolve,[$cnf( $equal(op(op(e0,e0),e0),op(e3,e0)) )],[refute_0_353,refute_0_377]) ).
cnf(refute_0_379,plain,
( e1 != op(e3,e0)
| e2 != op(e3,e3)
| e3 != op(e0,e0) ),
inference(resolve,[$cnf( $equal(e1,op(op(e0,e0),e0)) )],[refute_0_378,refute_0_376]) ).
cnf(refute_0_380,plain,
( e2 != e2
| op(e3,e3) != e2
| e2 = op(e3,e3) ),
introduced(tautology,[equality,[$cnf( ~ $equal(e2,op(e3,e3)) ),[1],$fot(e2)]]) ).
cnf(refute_0_381,plain,
( e2 != e2
| e2 = op(e3,e3)
| op(e0,e0) = e2
| op(e1,e1) = e2 ),
inference(resolve,[$cnf( $equal(op(e3,e3),e2) )],[refute_0_158,refute_0_380]) ).
cnf(refute_0_382,plain,
( e1 != op(e3,e0)
| e2 != e2
| e3 != op(e0,e0)
| op(e0,e0) = e2
| op(e1,e1) = e2 ),
inference(resolve,[$cnf( $equal(e2,op(e3,e3)) )],[refute_0_381,refute_0_379]) ).
cnf(refute_0_383,plain,
( e1 != op(e3,e0)
| e3 != op(e0,e0)
| op(e0,e0) = e2
| op(e1,e1) = e2 ),
inference(resolve,[$cnf( $equal(e2,e2) )],[refute_0_63,refute_0_382]) ).
cnf(refute_0_384,plain,
( op(e0,e0) != e2
| op(e0,e0) != e3
| e3 = e2 ),
introduced(tautology,[equality,[$cnf( $equal(op(e0,e0),e2) ),[0],$fot(e3)]]) ).
cnf(refute_0_385,plain,
( e3 != op(e0,e0)
| op(e0,e0) != e2
| e3 = e2 ),
inference(resolve,[$cnf( $equal(op(e0,e0),e3) )],[refute_0_349,refute_0_384]) ).
cnf(refute_0_386,plain,
( e1 != op(e3,e0)
| e3 != op(e0,e0)
| e3 = e2
| op(e1,e1) = e2 ),
inference(resolve,[$cnf( $equal(op(e0,e0),e2) )],[refute_0_383,refute_0_385]) ).
cnf(refute_0_387,plain,
( e1 != op(e3,e0)
| e3 != op(e0,e0)
| op(e1,e1) = e2 ),
inference(resolve,[$cnf( $equal(e3,e2) )],[refute_0_386,refute_0_249]) ).
cnf(refute_0_388,plain,
( op(e0,e0) = e1
| op(e1,e0) = e1
| op(e2,e0) = e1
| op(e3,e0) = e1 ),
inference(canonicalize,[],[normalize_0_47]) ).
cnf(refute_0_389,plain,
( e1 != e1
| op(e3,e0) != e1
| e1 = op(e3,e0) ),
introduced(tautology,[equality,[$cnf( ~ $equal(e1,op(e3,e0)) ),[1],$fot(e1)]]) ).
cnf(refute_0_390,plain,
( e1 != e1
| e1 = op(e3,e0)
| op(e0,e0) = e1
| op(e1,e0) = e1
| op(e2,e0) = e1 ),
inference(resolve,[$cnf( $equal(op(e3,e0),e1) )],[refute_0_388,refute_0_389]) ).
cnf(refute_0_391,plain,
( e1 != e1
| e3 != op(e0,e0)
| op(e0,e0) = e1
| op(e1,e0) = e1
| op(e1,e1) = e2
| op(e2,e0) = e1 ),
inference(resolve,[$cnf( $equal(e1,op(e3,e0)) )],[refute_0_390,refute_0_387]) ).
cnf(refute_0_392,plain,
( e3 != op(e0,e0)
| op(e0,e0) = e1
| op(e1,e0) = e1
| op(e1,e1) = e2
| op(e2,e0) = e1 ),
inference(resolve,[$cnf( $equal(e1,e1) )],[refute_0_22,refute_0_391]) ).
cnf(refute_0_393,plain,
( op(e0,e0) != e1
| op(e0,e0) != e3
| e3 = e1 ),
introduced(tautology,[equality,[$cnf( $equal(op(e0,e0),e1) ),[0],$fot(e3)]]) ).
cnf(refute_0_394,plain,
( e3 != op(e0,e0)
| op(e0,e0) != e1
| e3 = e1 ),
inference(resolve,[$cnf( $equal(op(e0,e0),e3) )],[refute_0_349,refute_0_393]) ).
cnf(refute_0_395,plain,
( e3 != op(e0,e0)
| e3 = e1
| op(e1,e0) = e1
| op(e1,e1) = e2
| op(e2,e0) = e1 ),
inference(resolve,[$cnf( $equal(op(e0,e0),e1) )],[refute_0_392,refute_0_394]) ).
cnf(refute_0_396,plain,
( e3 != op(e0,e0)
| op(e1,e0) = e1
| op(e1,e1) = e2
| op(e2,e0) = e1 ),
inference(resolve,[$cnf( $equal(e3,e1) )],[refute_0_395,refute_0_246]) ).
cnf(refute_0_397,plain,
( e3 != e3
| op(e0,e0) != e3
| e3 = op(e0,e0) ),
introduced(tautology,[equality,[$cnf( ~ $equal(e3,op(e0,e0)) ),[1],$fot(e3)]]) ).
cnf(refute_0_398,plain,
( e3 != e3
| e3 = op(e0,e0)
| op(e0,e0) = e0
| op(e0,e0) = e1
| op(e0,e0) = e2 ),
inference(resolve,[$cnf( $equal(op(e0,e0),e3) )],[refute_0_59,refute_0_397]) ).
cnf(refute_0_399,plain,
( e3 != e3
| op(e0,e0) = e0
| op(e0,e0) = e1
| op(e0,e0) = e2
| op(e1,e0) = e1
| op(e1,e1) = e2
| op(e2,e0) = e1 ),
inference(resolve,[$cnf( $equal(e3,op(e0,e0)) )],[refute_0_398,refute_0_396]) ).
cnf(refute_0_400,plain,
( op(e0,e0) = e0
| op(e0,e0) = e1
| op(e0,e0) = e2
| op(e1,e0) = e1
| op(e1,e1) = e2
| op(e2,e0) = e1 ),
inference(resolve,[$cnf( $equal(e3,e3) )],[refute_0_128,refute_0_399]) ).
cnf(refute_0_401,plain,
( op(e0,e0) = e1
| op(e0,e0) = e2
| op(e1,e0) = e1
| op(e1,e1) = e2
| op(e2,e0) = e1 ),
inference(resolve,[$cnf( $equal(op(e0,e0),e0) )],[refute_0_400,refute_0_192]) ).
cnf(refute_0_402,plain,
( e1 != op(e2,e2)
| op(e2,e0) != e1
| op(e2,e0) = op(e2,e2) ),
introduced(tautology,[equality,[$cnf( $equal(op(e2,e0),e1) ),[1],$fot(op(e2,e2))]]) ).
cnf(refute_0_403,plain,
( e1 != op(e2,e2)
| op(e0,e0) = e1
| op(e0,e0) = e2
| op(e1,e0) = e1
| op(e1,e1) = e2
| op(e2,e0) = op(e2,e2) ),
inference(resolve,[$cnf( $equal(op(e2,e0),e1) )],[refute_0_401,refute_0_402]) ).
cnf(refute_0_404,plain,
( e1 != op(e2,e2)
| op(e0,e0) = e1
| op(e0,e0) = e2
| op(e1,e0) = e1
| op(e1,e1) = e2 ),
inference(resolve,[$cnf( $equal(op(e2,e0),op(e2,e2)) )],[refute_0_403,refute_0_372]) ).
cnf(refute_0_405,plain,
( e1 != e1
| e1 = op(e2,e2)
| op(e0,e0) = e1
| op(e0,e0) = e2
| op(e1,e1) = e2 ),
inference(resolve,[$cnf( $equal(op(e2,e2),e1) )],[refute_0_166,refute_0_227]) ).
cnf(refute_0_406,plain,
( e1 != e1
| op(e0,e0) = e1
| op(e0,e0) = e2
| op(e1,e0) = e1
| op(e1,e1) = e2 ),
inference(resolve,[$cnf( $equal(e1,op(e2,e2)) )],[refute_0_405,refute_0_404]) ).
cnf(refute_0_407,plain,
( op(e0,e0) = e1
| op(e0,e0) = e2
| op(e1,e0) = e1
| op(e1,e1) = e2 ),
inference(resolve,[$cnf( $equal(e1,e1) )],[refute_0_22,refute_0_406]) ).
cnf(refute_0_408,plain,
( e2 != e2
| op(e1,e1) != e2
| op(e1,e1) = e2 ),
introduced(tautology,[equality,[$cnf( $equal(op(e1,e1),e2) ),[1],$fot(e2)]]) ).
cnf(refute_0_409,plain,
( e2 != e2
| op(e0,e0) = e1
| op(e0,e0) = e2
| op(e1,e0) = e1
| op(e1,e1) = e2 ),
inference(resolve,[$cnf( $equal(op(e1,e1),e2) )],[refute_0_407,refute_0_408]) ).
cnf(refute_0_410,plain,
( e2 != e2
| op(e0,e0) = e1
| op(e0,e0) = e2
| op(e1,e0) = e1
| op(e3,e3) = e1 ),
inference(resolve,[$cnf( $equal(op(e1,e1),e2) )],[refute_0_409,refute_0_371]) ).
cnf(refute_0_411,plain,
( op(e0,e0) = e1
| op(e0,e0) = e2
| op(e1,e0) = e1
| op(e3,e3) = e1 ),
inference(resolve,[$cnf( $equal(e2,e2) )],[refute_0_63,refute_0_410]) ).
cnf(refute_0_412,plain,
( e1 != e1
| e1 = op(e3,e3)
| op(e0,e0) = e1
| op(e0,e0) = e2
| op(e1,e0) = e1 ),
inference(resolve,[$cnf( $equal(op(e3,e3),e1) )],[refute_0_411,refute_0_296]) ).
cnf(refute_0_413,plain,
( e1 != e1
| e2 != op(e3,e0)
| e3 != op(e0,e0)
| op(e0,e0) = e1
| op(e0,e0) = e2
| op(e1,e0) = e1 ),
inference(resolve,[$cnf( $equal(e1,op(e3,e3)) )],[refute_0_412,refute_0_370]) ).
cnf(refute_0_414,plain,
( e2 != op(e3,e0)
| e3 != op(e0,e0)
| op(e0,e0) = e1
| op(e0,e0) = e2
| op(e1,e0) = e1 ),
inference(resolve,[$cnf( $equal(e1,e1) )],[refute_0_22,refute_0_413]) ).
cnf(refute_0_415,plain,
( e2 != op(e3,e0)
| e3 != op(e0,e0)
| e3 = e1
| op(e0,e0) = e2
| op(e1,e0) = e1 ),
inference(resolve,[$cnf( $equal(op(e0,e0),e1) )],[refute_0_414,refute_0_394]) ).
cnf(refute_0_416,plain,
( e2 != op(e3,e0)
| e3 != op(e0,e0)
| e3 = e1
| e3 = e2
| op(e1,e0) = e1 ),
inference(resolve,[$cnf( $equal(op(e0,e0),e2) )],[refute_0_415,refute_0_385]) ).
cnf(refute_0_417,plain,
( e2 != op(e3,e0)
| e3 != op(e0,e0)
| e3 = e2
| op(e1,e0) = e1 ),
inference(resolve,[$cnf( $equal(e3,e1) )],[refute_0_416,refute_0_246]) ).
cnf(refute_0_418,plain,
( e2 != op(e3,e0)
| e3 != op(e0,e0)
| op(e1,e0) = e1 ),
inference(resolve,[$cnf( $equal(e3,e2) )],[refute_0_417,refute_0_249]) ).
cnf(refute_0_419,plain,
op(e0,e0) != op(e3,e0),
inference(canonicalize,[],[normalize_0_48]) ).
cnf(refute_0_420,plain,
( e3 != op(e3,e0)
| op(e0,e0) != e3
| op(e0,e0) = op(e3,e0) ),
introduced(tautology,[equality,[$cnf( $equal(op(e0,e0),e3) ),[1],$fot(op(e3,e0))]]) ).
cnf(refute_0_421,plain,
( e3 != op(e3,e0)
| op(e0,e0) = e0
| op(e0,e0) = e1
| op(e0,e0) = e2
| op(e0,e0) = op(e3,e0) ),
inference(resolve,[$cnf( $equal(op(e0,e0),e3) )],[refute_0_59,refute_0_420]) ).
cnf(refute_0_422,plain,
( e3 != op(e3,e0)
| op(e0,e0) = e0
| op(e0,e0) = e1
| op(e0,e0) = e2 ),
inference(resolve,[$cnf( $equal(op(e0,e0),op(e3,e0)) )],[refute_0_421,refute_0_419]) ).
cnf(refute_0_423,plain,
( e3 != op(e3,e0)
| op(e0,e0) = e1
| op(e0,e0) = e2 ),
inference(resolve,[$cnf( $equal(op(e0,e0),e0) )],[refute_0_422,refute_0_192]) ).
cnf(refute_0_424,plain,
( op(e3,e0) = e0
| op(e3,e0) = e1
| op(e3,e0) = e2
| op(e3,e0) = e3 ),
inference(canonicalize,[],[normalize_0_49]) ).
cnf(refute_0_425,plain,
( e3 != e3
| op(e3,e0) != e3
| e3 = op(e3,e0) ),
introduced(tautology,[equality,[$cnf( ~ $equal(e3,op(e3,e0)) ),[1],$fot(e3)]]) ).
cnf(refute_0_426,plain,
( e3 != e3
| e3 = op(e3,e0)
| op(e3,e0) = e0
| op(e3,e0) = e1
| op(e3,e0) = e2 ),
inference(resolve,[$cnf( $equal(op(e3,e0),e3) )],[refute_0_424,refute_0_425]) ).
cnf(refute_0_427,plain,
( e3 != e3
| op(e0,e0) = e1
| op(e0,e0) = e2
| op(e3,e0) = e0
| op(e3,e0) = e1
| op(e3,e0) = e2 ),
inference(resolve,[$cnf( $equal(e3,op(e3,e0)) )],[refute_0_426,refute_0_423]) ).
cnf(refute_0_428,plain,
( op(e0,e0) = e1
| op(e0,e0) = e2
| op(e3,e0) = e0
| op(e3,e0) = e1
| op(e3,e0) = e2 ),
inference(resolve,[$cnf( $equal(e3,e3) )],[refute_0_128,refute_0_427]) ).
cnf(refute_0_429,plain,
op(e2,e0) != op(e3,e0),
inference(canonicalize,[],[normalize_0_50]) ).
cnf(refute_0_430,plain,
( op(e2,e0) != e1
| op(e3,e0) != e1
| op(e2,e0) = op(e3,e0) ),
introduced(tautology,[equality,[$cnf( ~ $equal(op(e2,e0),op(e3,e0)) ),[1],$fot(e1)]]) ).
cnf(refute_0_431,plain,
( op(e2,e0) != e1
| op(e2,e0) = op(e3,e0)
| op(e3,e0) = e0
| op(e3,e0) = e2
| op(e3,e0) = e3 ),
inference(resolve,[$cnf( $equal(op(e3,e0),e1) )],[refute_0_424,refute_0_430]) ).
cnf(refute_0_432,plain,
( op(e2,e0) != e1
| op(e3,e0) = e0
| op(e3,e0) = e2
| op(e3,e0) = e3 ),
inference(resolve,[$cnf( $equal(op(e2,e0),op(e3,e0)) )],[refute_0_431,refute_0_429]) ).
cnf(refute_0_433,plain,
op(e3,e0) != op(e3,e3),
inference(canonicalize,[],[normalize_0_51]) ).
cnf(refute_0_434,plain,
( e1 != op(e3,e3)
| op(e3,e0) != e1
| op(e3,e0) = op(e3,e3) ),
introduced(tautology,[equality,[$cnf( $equal(op(e3,e0),e1) ),[1],$fot(op(e3,e3))]]) ).
cnf(refute_0_435,plain,
( e1 != op(e3,e3)
| op(e0,e0) = e1
| op(e1,e0) = e1
| op(e2,e0) = e1
| op(e3,e0) = op(e3,e3) ),
inference(resolve,[$cnf( $equal(op(e3,e0),e1) )],[refute_0_388,refute_0_434]) ).
cnf(refute_0_436,plain,
( e1 != op(e3,e3)
| op(e0,e0) = e1
| op(e1,e0) = e1
| op(e2,e0) = e1 ),
inference(resolve,[$cnf( $equal(op(e3,e0),op(e3,e3)) )],[refute_0_435,refute_0_433]) ).
cnf(refute_0_437,plain,
( e1 != e1
| op(e0,e0) = e1
| op(e0,e0) = e2
| op(e1,e0) = e1
| op(e2,e0) = e1 ),
inference(resolve,[$cnf( $equal(e1,op(e3,e3)) )],[refute_0_412,refute_0_436]) ).
cnf(refute_0_438,plain,
( e1 != e1
| op(e0,e0) = e1
| op(e0,e0) = e2
| op(e1,e0) = e1
| op(e3,e0) = e0
| op(e3,e0) = e2
| op(e3,e0) = e3 ),
inference(resolve,[$cnf( $equal(op(e2,e0),e1) )],[refute_0_437,refute_0_432]) ).
cnf(refute_0_439,plain,
( op(e0,e0) = e1
| op(e0,e0) = e2
| op(e1,e0) = e1
| op(e3,e0) = e0
| op(e3,e0) = e2
| op(e3,e0) = e3 ),
inference(resolve,[$cnf( $equal(e1,e1) )],[refute_0_22,refute_0_438]) ).
cnf(refute_0_440,plain,
( op(e3,e0) != e1
| op(e3,e0) != e3
| e3 = e1 ),
introduced(tautology,[equality,[$cnf( $equal(op(e3,e0),e1) ),[0],$fot(e3)]]) ).
cnf(refute_0_441,plain,
( op(e3,e0) != e1
| e3 = e1
| op(e0,e0) = e1
| op(e0,e0) = e2
| op(e1,e0) = e1
| op(e3,e0) = e0
| op(e3,e0) = e2 ),
inference(resolve,[$cnf( $equal(op(e3,e0),e3) )],[refute_0_439,refute_0_440]) ).
cnf(refute_0_442,plain,
( e3 = e1
| op(e0,e0) = e1
| op(e0,e0) = e2
| op(e1,e0) = e1
| op(e3,e0) = e0
| op(e3,e0) = e2 ),
inference(resolve,[$cnf( $equal(op(e3,e0),e1) )],[refute_0_428,refute_0_441]) ).
cnf(refute_0_443,plain,
( op(e0,e0) = e1
| op(e0,e0) = e2
| op(e1,e0) = e1
| op(e3,e0) = e0
| op(e3,e0) = e2 ),
inference(resolve,[$cnf( $equal(e3,e1) )],[refute_0_442,refute_0_246]) ).
cnf(refute_0_444,plain,
( e2 != e2
| op(e3,e0) != e2
| e2 = op(e3,e0) ),
introduced(tautology,[equality,[$cnf( ~ $equal(e2,op(e3,e0)) ),[1],$fot(e2)]]) ).
cnf(refute_0_445,plain,
( e2 != e2
| e2 = op(e3,e0)
| op(e0,e0) = e1
| op(e0,e0) = e2
| op(e1,e0) = e1
| op(e3,e0) = e0 ),
inference(resolve,[$cnf( $equal(op(e3,e0),e2) )],[refute_0_443,refute_0_444]) ).
cnf(refute_0_446,plain,
( e2 != e2
| e3 != op(e0,e0)
| op(e0,e0) = e1
| op(e0,e0) = e2
| op(e1,e0) = e1
| op(e3,e0) = e0 ),
inference(resolve,[$cnf( $equal(e2,op(e3,e0)) )],[refute_0_445,refute_0_418]) ).
cnf(refute_0_447,plain,
( e3 != op(e0,e0)
| op(e0,e0) = e1
| op(e0,e0) = e2
| op(e1,e0) = e1
| op(e3,e0) = e0 ),
inference(resolve,[$cnf( $equal(e2,e2) )],[refute_0_63,refute_0_446]) ).
cnf(refute_0_448,plain,
( e3 != op(e0,e0)
| e3 = e1
| op(e0,e0) = e2
| op(e1,e0) = e1
| op(e3,e0) = e0 ),
inference(resolve,[$cnf( $equal(op(e0,e0),e1) )],[refute_0_447,refute_0_394]) ).
cnf(refute_0_449,plain,
( e3 != op(e0,e0)
| e3 = e1
| e3 = e2
| op(e1,e0) = e1
| op(e3,e0) = e0 ),
inference(resolve,[$cnf( $equal(op(e0,e0),e2) )],[refute_0_448,refute_0_385]) ).
cnf(refute_0_450,plain,
( e3 != op(e0,e0)
| e3 = e2
| op(e1,e0) = e1
| op(e3,e0) = e0 ),
inference(resolve,[$cnf( $equal(e3,e1) )],[refute_0_449,refute_0_246]) ).
cnf(refute_0_451,plain,
( e3 != op(e0,e0)
| op(e1,e0) = e1
| op(e3,e0) = e0 ),
inference(resolve,[$cnf( $equal(e3,e2) )],[refute_0_450,refute_0_249]) ).
cnf(refute_0_452,plain,
( op(e3,e1) != e2
| op(e3,e3) != e2
| op(e3,e1) = op(e3,e3) ),
introduced(tautology,[equality,[$cnf( ~ $equal(op(e3,e1),op(e3,e3)) ),[1],$fot(e2)]]) ).
cnf(refute_0_453,plain,
( op(e3,e1) != e2
| op(e0,e0) = e2
| op(e1,e1) = e2
| op(e3,e1) = op(e3,e3) ),
inference(resolve,[$cnf( $equal(op(e3,e3),e2) )],[refute_0_158,refute_0_452]) ).
cnf(refute_0_454,plain,
( op(e3,e1) != e2
| op(e0,e0) = e2
| op(e1,e1) = e2 ),
inference(resolve,[$cnf( $equal(op(e3,e1),op(e3,e3)) )],[refute_0_453,refute_0_1]) ).
cnf(refute_0_455,plain,
( op(e0,e1) = e2
| op(e1,e1) = e2
| op(e2,e1) = e2
| op(e3,e1) = e2 ),
inference(canonicalize,[],[normalize_0_52]) ).
cnf(refute_0_456,plain,
( e2 != e2
| op(e3,e1) != e2
| op(e3,e1) = e2 ),
introduced(tautology,[equality,[$cnf( $equal(op(e3,e1),e2) ),[1],$fot(e2)]]) ).
cnf(refute_0_457,plain,
( e2 != e2
| op(e0,e1) = e2
| op(e1,e1) = e2
| op(e2,e1) = e2
| op(e3,e1) = e2 ),
inference(resolve,[$cnf( $equal(op(e3,e1),e2) )],[refute_0_455,refute_0_456]) ).
cnf(refute_0_458,plain,
( e2 != e2
| op(e0,e0) = e2
| op(e0,e1) = e2
| op(e1,e1) = e2
| op(e2,e1) = e2 ),
inference(resolve,[$cnf( $equal(op(e3,e1),e2) )],[refute_0_457,refute_0_454]) ).
cnf(refute_0_459,plain,
( op(e0,e0) = e2
| op(e0,e1) = e2
| op(e1,e1) = e2
| op(e2,e1) = e2 ),
inference(resolve,[$cnf( $equal(e2,e2) )],[refute_0_63,refute_0_458]) ).
cnf(refute_0_460,plain,
( e0 != op(op(e1,e1),e1)
| e2 != op(op(e1,e1),op(e1,e1))
| e3 != op(e1,e1) ),
inference(canonicalize,[],[normalize_0_53]) ).
cnf(refute_0_461,plain,
op(e3,op(e1,e1)) = op(e3,op(e1,e1)),
introduced(tautology,[refl,[$fot(op(e3,op(e1,e1)))]]) ).
cnf(refute_0_462,plain,
( op(e1,e1) != e3
| op(e3,op(e1,e1)) != op(e3,op(e1,e1))
| op(e3,op(e1,e1)) = op(e3,e3) ),
introduced(tautology,[equality,[$cnf( $equal(op(e3,op(e1,e1)),op(e3,op(e1,e1))) ),[1,1],$fot(e3)]]) ).
cnf(refute_0_463,plain,
( op(e1,e1) != e3
| op(e3,op(e1,e1)) = op(e3,e3) ),
inference(resolve,[$cnf( $equal(op(e3,op(e1,e1)),op(e3,op(e1,e1))) )],[refute_0_461,refute_0_462]) ).
cnf(refute_0_464,plain,
( e3 != op(e1,e1)
| op(e3,op(e1,e1)) = op(e3,e3) ),
inference(resolve,[$cnf( $equal(op(e1,e1),e3) )],[refute_0_232,refute_0_463]) ).
cnf(refute_0_465,plain,
( op(e1,e1) != e3
| op(op(e1,e1),op(e1,e1)) != op(op(e1,e1),op(e1,e1))
| op(op(e1,e1),op(e1,e1)) = op(e3,op(e1,e1)) ),
introduced(tautology,[equality,[$cnf( $equal(op(op(e1,e1),op(e1,e1)),op(op(e1,e1),op(e1,e1))) ),[1,0],$fot(e3)]]) ).
cnf(refute_0_466,plain,
( op(e1,e1) != e3
| op(op(e1,e1),op(e1,e1)) = op(e3,op(e1,e1)) ),
inference(resolve,[$cnf( $equal(op(op(e1,e1),op(e1,e1)),op(op(e1,e1),op(e1,e1))) )],[refute_0_108,refute_0_465]) ).
cnf(refute_0_467,plain,
( e3 != op(e1,e1)
| op(op(e1,e1),op(e1,e1)) = op(e3,op(e1,e1)) ),
inference(resolve,[$cnf( $equal(op(e1,e1),e3) )],[refute_0_232,refute_0_466]) ).
cnf(refute_0_468,plain,
( op(e3,op(e1,e1)) != op(e3,e3)
| op(op(e1,e1),op(e1,e1)) != op(e3,op(e1,e1))
| op(op(e1,e1),op(e1,e1)) = op(e3,e3) ),
inference(subst,[],[refute_0_44:[bind(X,$fot(op(op(e1,e1),op(e1,e1)))),bind(Y,$fot(op(e3,op(e1,e1)))),bind(Z,$fot(op(e3,e3)))]]) ).
cnf(refute_0_469,plain,
( e3 != op(e1,e1)
| op(e3,op(e1,e1)) != op(e3,e3)
| op(op(e1,e1),op(e1,e1)) = op(e3,e3) ),
inference(resolve,[$cnf( $equal(op(op(e1,e1),op(e1,e1)),op(e3,op(e1,e1))) )],[refute_0_467,refute_0_468]) ).
cnf(refute_0_470,plain,
( e3 != op(e1,e1)
| op(op(e1,e1),op(e1,e1)) = op(e3,e3) ),
inference(resolve,[$cnf( $equal(op(e3,op(e1,e1)),op(e3,e3)) )],[refute_0_464,refute_0_469]) ).
cnf(refute_0_471,plain,
( e2 != op(e3,e3)
| op(op(e1,e1),op(e1,e1)) != op(e3,e3)
| e2 = op(op(e1,e1),op(e1,e1)) ),
introduced(tautology,[equality,[$cnf( ~ $equal(e2,op(op(e1,e1),op(e1,e1))) ),[1],$fot(op(e3,e3))]]) ).
cnf(refute_0_472,plain,
( e2 != op(e3,e3)
| e3 != op(e1,e1)
| e2 = op(op(e1,e1),op(e1,e1)) ),
inference(resolve,[$cnf( $equal(op(op(e1,e1),op(e1,e1)),op(e3,e3)) )],[refute_0_470,refute_0_471]) ).
cnf(refute_0_473,plain,
( e0 != op(op(e1,e1),e1)
| e2 != op(e3,e3)
| e3 != op(e1,e1) ),
inference(resolve,[$cnf( $equal(e2,op(op(e1,e1),op(e1,e1))) )],[refute_0_472,refute_0_460]) ).
cnf(refute_0_474,plain,
( op(e1,e1) != e3
| op(op(e1,e1),e1) != op(op(e1,e1),e1)
| op(op(e1,e1),e1) = op(e3,e1) ),
introduced(tautology,[equality,[$cnf( $equal(op(op(e1,e1),e1),op(op(e1,e1),e1)) ),[1,0],$fot(e3)]]) ).
cnf(refute_0_475,plain,
( op(e1,e1) != e3
| op(op(e1,e1),e1) = op(e3,e1) ),
inference(resolve,[$cnf( $equal(op(op(e1,e1),e1),op(op(e1,e1),e1)) )],[refute_0_118,refute_0_474]) ).
cnf(refute_0_476,plain,
( e3 != op(e1,e1)
| op(op(e1,e1),e1) = op(e3,e1) ),
inference(resolve,[$cnf( $equal(op(e1,e1),e3) )],[refute_0_232,refute_0_475]) ).
cnf(refute_0_477,plain,
( e0 != op(e3,e1)
| op(op(e1,e1),e1) != op(e3,e1)
| e0 = op(op(e1,e1),e1) ),
introduced(tautology,[equality,[$cnf( ~ $equal(e0,op(op(e1,e1),e1)) ),[1],$fot(op(e3,e1))]]) ).
cnf(refute_0_478,plain,
( e0 != op(e3,e1)
| e3 != op(e1,e1)
| e0 = op(op(e1,e1),e1) ),
inference(resolve,[$cnf( $equal(op(op(e1,e1),e1),op(e3,e1)) )],[refute_0_476,refute_0_477]) ).
cnf(refute_0_479,plain,
( e0 != op(e3,e1)
| e2 != op(e3,e3)
| e3 != op(e1,e1) ),
inference(resolve,[$cnf( $equal(e0,op(op(e1,e1),e1)) )],[refute_0_478,refute_0_473]) ).
cnf(refute_0_480,plain,
( e0 != op(e3,e1)
| e2 != e2
| e3 != op(e1,e1)
| op(e0,e0) = e2
| op(e1,e1) = e2 ),
inference(resolve,[$cnf( $equal(e2,op(e3,e3)) )],[refute_0_381,refute_0_479]) ).
cnf(refute_0_481,plain,
( e0 != op(e3,e1)
| e3 != op(e1,e1)
| op(e0,e0) = e2
| op(e1,e1) = e2 ),
inference(resolve,[$cnf( $equal(e2,e2) )],[refute_0_63,refute_0_480]) ).
cnf(refute_0_482,plain,
( e0 != op(e3,e1)
| e3 != op(e1,e1)
| e3 = e2
| op(e0,e0) = e2 ),
inference(resolve,[$cnf( $equal(op(e1,e1),e2) )],[refute_0_481,refute_0_240]) ).
cnf(refute_0_483,plain,
( e0 != op(e3,e1)
| e3 != op(e1,e1)
| op(e0,e0) = e2 ),
inference(resolve,[$cnf( $equal(e3,e2) )],[refute_0_482,refute_0_249]) ).
cnf(refute_0_484,plain,
( e0 != e0
| op(e3,e1) != e0
| e0 = op(e3,e1) ),
introduced(tautology,[equality,[$cnf( ~ $equal(e0,op(e3,e1)) ),[1],$fot(e0)]]) ).
cnf(refute_0_485,plain,
( e0 != e0
| e0 = op(e3,e1)
| op(e0,e1) = e0
| op(e1,e1) = e0
| op(e2,e1) = e0 ),
inference(resolve,[$cnf( $equal(op(e3,e1),e0) )],[refute_0_6,refute_0_484]) ).
cnf(refute_0_486,plain,
( e0 != e0
| e3 != op(e1,e1)
| op(e0,e0) = e2
| op(e0,e1) = e0
| op(e1,e1) = e0
| op(e2,e1) = e0 ),
inference(resolve,[$cnf( $equal(e0,op(e3,e1)) )],[refute_0_485,refute_0_483]) ).
cnf(refute_0_487,plain,
( e3 != op(e1,e1)
| op(e0,e0) = e2
| op(e0,e1) = e0
| op(e1,e1) = e0
| op(e2,e1) = e0 ),
inference(resolve,[$cnf( $equal(e0,e0) )],[refute_0_10,refute_0_486]) ).
cnf(refute_0_488,plain,
( e3 != op(e1,e1)
| e3 = e0
| op(e0,e0) = e2
| op(e0,e1) = e0
| op(e2,e1) = e0 ),
inference(resolve,[$cnf( $equal(op(e1,e1),e0) )],[refute_0_487,refute_0_234]) ).
cnf(refute_0_489,plain,
( e3 != op(e1,e1)
| op(e0,e0) = e2
| op(e0,e1) = e0
| op(e2,e1) = e0 ),
inference(resolve,[$cnf( $equal(e3,e0) )],[refute_0_488,refute_0_243]) ).
cnf(refute_0_490,plain,
( e3 != e3
| e3 = op(e1,e1)
| op(e0,e0) = e2
| op(e0,e0) = e3
| op(e1,e1) = e2 ),
inference(resolve,[$cnf( $equal(op(e1,e1),e3) )],[refute_0_153,refute_0_338]) ).
cnf(refute_0_491,plain,
( e3 != e3
| op(e0,e0) = e2
| op(e0,e0) = e3
| op(e0,e1) = e0
| op(e1,e1) = e2
| op(e2,e1) = e0 ),
inference(resolve,[$cnf( $equal(e3,op(e1,e1)) )],[refute_0_490,refute_0_489]) ).
cnf(refute_0_492,plain,
( op(e0,e0) = e2
| op(e0,e0) = e3
| op(e0,e1) = e0
| op(e1,e1) = e2
| op(e2,e1) = e0 ),
inference(resolve,[$cnf( $equal(e3,e3) )],[refute_0_128,refute_0_491]) ).
cnf(refute_0_493,plain,
( op(e2,e1) != e0
| op(e2,e1) != e2
| e0 = e2 ),
introduced(tautology,[equality,[$cnf( $equal(op(e2,e1),e2) ),[0],$fot(e0)]]) ).
cnf(refute_0_494,plain,
( op(e2,e1) != e2
| e0 = e2
| op(e0,e0) = e2
| op(e0,e0) = e3
| op(e0,e1) = e0
| op(e1,e1) = e2 ),
inference(resolve,[$cnf( $equal(op(e2,e1),e0) )],[refute_0_492,refute_0_493]) ).
cnf(refute_0_495,plain,
( e0 = e2
| op(e0,e0) = e2
| op(e0,e0) = e3
| op(e0,e1) = e0
| op(e0,e1) = e2
| op(e1,e1) = e2 ),
inference(resolve,[$cnf( $equal(op(e2,e1),e2) )],[refute_0_459,refute_0_494]) ).
cnf(refute_0_496,plain,
( op(e0,e0) = e2
| op(e0,e0) = e3
| op(e0,e1) = e0
| op(e0,e1) = e2
| op(e1,e1) = e2 ),
inference(resolve,[$cnf( $equal(e0,e2) )],[refute_0_495,refute_0_80]) ).
cnf(refute_0_497,plain,
( e2 != e2
| e2 = op(e1,e1)
| op(e0,e0) = e2
| op(e0,e0) = e3
| op(e0,e1) = e0
| op(e0,e1) = e2 ),
inference(resolve,[$cnf( $equal(op(e1,e1),e2) )],[refute_0_496,refute_0_154]) ).
cnf(refute_0_498,plain,
( e2 != e2
| op(e0,e0) = e2
| op(e0,e0) = e3
| op(e0,e1) = e0
| op(e0,e1) = e2 ),
inference(resolve,[$cnf( $equal(e2,op(e1,e1)) )],[refute_0_497,refute_0_148]) ).
cnf(refute_0_499,plain,
( op(e0,e0) = e2
| op(e0,e0) = e3
| op(e0,e1) = e0
| op(e0,e1) = e2 ),
inference(resolve,[$cnf( $equal(e2,e2) )],[refute_0_63,refute_0_498]) ).
cnf(refute_0_500,plain,
( op(e0,e0) != e0
| op(e0,e0) = e2
| op(e0,e0) = e3
| op(e0,e0) = op(e0,e1)
| op(e0,e1) = e2 ),
inference(resolve,[$cnf( $equal(op(e0,e1),e0) )],[refute_0_499,refute_0_181]) ).
cnf(refute_0_501,plain,
( op(e0,e0) != e0
| op(e0,e0) = e2
| op(e0,e0) = e3
| op(e0,e1) = e2 ),
inference(resolve,[$cnf( $equal(op(e0,e0),op(e0,e1)) )],[refute_0_500,refute_0_100]) ).
cnf(refute_0_502,plain,
( op(e0,e0) != e0
| e0 = e2
| op(e0,e0) = e3
| op(e0,e1) = e2 ),
inference(resolve,[$cnf( $equal(op(e0,e0),e2) )],[refute_0_501,refute_0_186]) ).
cnf(refute_0_503,plain,
( op(e0,e0) != e0
| e0 = e2
| e0 = e3
| op(e0,e1) = e2 ),
inference(resolve,[$cnf( $equal(op(e0,e0),e3) )],[refute_0_502,refute_0_188]) ).
cnf(refute_0_504,plain,
( op(e0,e0) != e0
| e0 = e3
| op(e0,e1) = e2 ),
inference(resolve,[$cnf( $equal(e0,e2) )],[refute_0_503,refute_0_80]) ).
cnf(refute_0_505,plain,
( op(e0,e0) != e0
| op(e0,e1) = e2 ),
inference(resolve,[$cnf( $equal(e0,e3) )],[refute_0_504,refute_0_137]) ).
cnf(refute_0_506,plain,
( e0 != e0
| op(e0,e0) != e0
| op(e0,e0) = e0 ),
introduced(tautology,[equality,[$cnf( $equal(op(e0,e0),e0) ),[0,0],$fot(e0)]]) ).
cnf(refute_0_507,plain,
( e0 != e0
| op(e0,e0) = e0
| op(e0,e0) = e1
| op(e0,e0) = e2
| op(e0,e0) = e3 ),
inference(resolve,[$cnf( $equal(op(e0,e0),e0) )],[refute_0_59,refute_0_506]) ).
cnf(refute_0_508,plain,
( e0 != e0
| op(e0,e0) = e1
| op(e0,e0) = e2
| op(e0,e0) = e3
| op(e0,e1) = e2 ),
inference(resolve,[$cnf( $equal(op(e0,e0),e0) )],[refute_0_507,refute_0_505]) ).
cnf(refute_0_509,plain,
( op(e0,e0) = e1
| op(e0,e0) = e2
| op(e0,e0) = e3
| op(e0,e1) = e2 ),
inference(resolve,[$cnf( $equal(e0,e0) )],[refute_0_10,refute_0_508]) ).
cnf(refute_0_510,plain,
( op(e0,e1) != e0
| op(e0,e1) != e2
| e0 = e2 ),
introduced(tautology,[equality,[$cnf( $equal(op(e0,e1),e2) ),[0],$fot(e0)]]) ).
cnf(refute_0_511,plain,
( op(e0,e1) != e2
| e0 = e2
| op(e0,e0) = e1
| op(e0,e0) = e2
| op(e0,e0) = e3 ),
inference(resolve,[$cnf( $equal(op(e0,e1),e0) )],[refute_0_180,refute_0_510]) ).
cnf(refute_0_512,plain,
( e0 = e2
| op(e0,e0) = e1
| op(e0,e0) = e2
| op(e0,e0) = e3 ),
inference(resolve,[$cnf( $equal(op(e0,e1),e2) )],[refute_0_509,refute_0_511]) ).
cnf(refute_0_513,plain,
( op(e0,e0) = e1
| op(e0,e0) = e2
| op(e0,e0) = e3 ),
inference(resolve,[$cnf( $equal(e0,e2) )],[refute_0_512,refute_0_80]) ).
cnf(refute_0_514,plain,
( e3 != e3
| e3 = op(e0,e0)
| op(e0,e0) = e1
| op(e0,e0) = e2 ),
inference(resolve,[$cnf( $equal(op(e0,e0),e3) )],[refute_0_513,refute_0_397]) ).
cnf(refute_0_515,plain,
( e3 != e3
| op(e0,e0) = e1
| op(e0,e0) = e2
| op(e1,e0) = e1
| op(e3,e0) = e0 ),
inference(resolve,[$cnf( $equal(e3,op(e0,e0)) )],[refute_0_514,refute_0_451]) ).
cnf(refute_0_516,plain,
( op(e0,e0) = e1
| op(e0,e0) = e2
| op(e1,e0) = e1
| op(e3,e0) = e0 ),
inference(resolve,[$cnf( $equal(e3,e3) )],[refute_0_128,refute_0_515]) ).
cnf(refute_0_517,plain,
( op(e1,e0) != e0
| op(e3,e0) != e0
| op(e1,e0) = op(e3,e0) ),
introduced(tautology,[equality,[$cnf( ~ $equal(op(e1,e0),op(e3,e0)) ),[1],$fot(e0)]]) ).
cnf(refute_0_518,plain,
( op(e1,e0) != e0
| op(e0,e0) = e1
| op(e0,e0) = e2
| op(e1,e0) = e1
| op(e1,e0) = op(e3,e0) ),
inference(resolve,[$cnf( $equal(op(e3,e0),e0) )],[refute_0_516,refute_0_517]) ).
cnf(refute_0_519,plain,
( op(e1,e0) != e0
| op(e0,e0) = e1
| op(e0,e0) = e2
| op(e1,e0) = e1 ),
inference(resolve,[$cnf( $equal(op(e1,e0),op(e3,e0)) )],[refute_0_518,refute_0_346]) ).
cnf(refute_0_520,plain,
( op(e1,e0) != e0
| op(e1,e0) != e1
| e0 = e1 ),
introduced(tautology,[equality,[$cnf( $equal(op(e1,e0),e1) ),[0],$fot(e0)]]) ).
cnf(refute_0_521,plain,
( op(e1,e0) != e0
| e0 = e1
| op(e0,e0) = e1
| op(e0,e0) = e2 ),
inference(resolve,[$cnf( $equal(op(e1,e0),e1) )],[refute_0_519,refute_0_520]) ).
cnf(refute_0_522,plain,
( op(e1,e0) != e0
| op(e0,e0) = e1
| op(e0,e0) = e2 ),
inference(resolve,[$cnf( $equal(e0,e1) )],[refute_0_521,refute_0_170]) ).
cnf(refute_0_523,plain,
op(e1,e0) != op(e1,e1),
inference(canonicalize,[],[normalize_0_54]) ).
cnf(refute_0_524,plain,
( op(e1,e0) != e2
| op(e1,e1) != e2
| op(e1,e0) = op(e1,e1) ),
introduced(tautology,[equality,[$cnf( ~ $equal(op(e1,e0),op(e1,e1)) ),[1],$fot(e2)]]) ).
cnf(refute_0_525,plain,
( op(e1,e0) != e2
| op(e0,e0) = e1
| op(e0,e0) = e2
| op(e1,e0) = e1
| op(e1,e0) = op(e1,e1) ),
inference(resolve,[$cnf( $equal(op(e1,e1),e2) )],[refute_0_407,refute_0_524]) ).
cnf(refute_0_526,plain,
( op(e1,e0) != e2
| op(e0,e0) = e1
| op(e0,e0) = e2
| op(e1,e0) = e1 ),
inference(resolve,[$cnf( $equal(op(e1,e0),op(e1,e1)) )],[refute_0_525,refute_0_523]) ).
cnf(refute_0_527,plain,
( op(e1,e0) != e1
| op(e1,e0) != e2
| e2 = e1 ),
introduced(tautology,[equality,[$cnf( $equal(op(e1,e0),e1) ),[0],$fot(e2)]]) ).
cnf(refute_0_528,plain,
( op(e1,e0) != e2
| e2 = e1
| op(e0,e0) = e1
| op(e0,e0) = e2 ),
inference(resolve,[$cnf( $equal(op(e1,e0),e1) )],[refute_0_526,refute_0_527]) ).
cnf(refute_0_529,plain,
( op(e1,e0) != e2
| op(e0,e0) = e1
| op(e0,e0) = e2 ),
inference(resolve,[$cnf( $equal(e2,e1) )],[refute_0_528,refute_0_86]) ).
cnf(refute_0_530,plain,
op(e0,e0) != op(e1,e0),
inference(canonicalize,[],[normalize_0_55]) ).
cnf(refute_0_531,plain,
( op(e1,e0) = e0
| op(e1,e0) = e1
| op(e1,e0) = e2
| op(e1,e0) = e3 ),
inference(canonicalize,[],[normalize_0_56]) ).
cnf(refute_0_532,plain,
( op(e0,e0) != e3
| op(e1,e0) != e3
| op(e0,e0) = op(e1,e0) ),
introduced(tautology,[equality,[$cnf( ~ $equal(op(e0,e0),op(e1,e0)) ),[1],$fot(e3)]]) ).
cnf(refute_0_533,plain,
( op(e0,e0) != e3
| op(e0,e0) = op(e1,e0)
| op(e1,e0) = e0
| op(e1,e0) = e1
| op(e1,e0) = e2 ),
inference(resolve,[$cnf( $equal(op(e1,e0),e3) )],[refute_0_531,refute_0_532]) ).
cnf(refute_0_534,plain,
( op(e0,e0) != e3
| op(e1,e0) = e0
| op(e1,e0) = e1
| op(e1,e0) = e2 ),
inference(resolve,[$cnf( $equal(op(e0,e0),op(e1,e0)) )],[refute_0_533,refute_0_530]) ).
cnf(refute_0_535,plain,
( e3 != e3
| op(e0,e0) != e3
| op(e0,e0) = e3 ),
introduced(tautology,[equality,[$cnf( $equal(op(e0,e0),e3) ),[1],$fot(e3)]]) ).
cnf(refute_0_536,plain,
( e3 != e3
| op(e0,e0) = e1
| op(e0,e0) = e2
| op(e0,e0) = e3 ),
inference(resolve,[$cnf( $equal(op(e0,e0),e3) )],[refute_0_513,refute_0_535]) ).
cnf(refute_0_537,plain,
( e3 != e3
| op(e0,e0) = e1
| op(e0,e0) = e2
| op(e1,e0) = e0
| op(e1,e0) = e1
| op(e1,e0) = e2 ),
inference(resolve,[$cnf( $equal(op(e0,e0),e3) )],[refute_0_536,refute_0_534]) ).
cnf(refute_0_538,plain,
( op(e0,e0) = e1
| op(e0,e0) = e2
| op(e1,e0) = e0
| op(e1,e0) = e1
| op(e1,e0) = e2 ),
inference(resolve,[$cnf( $equal(e3,e3) )],[refute_0_128,refute_0_537]) ).
cnf(refute_0_539,plain,
( e2 != e2
| op(e1,e0) != e2
| op(e1,e0) = e2 ),
introduced(tautology,[equality,[$cnf( $equal(op(e1,e0),e2) ),[1],$fot(e2)]]) ).
cnf(refute_0_540,plain,
( e2 != e2
| op(e0,e0) = e1
| op(e0,e0) = e2
| op(e1,e0) = e0
| op(e1,e0) = e1
| op(e1,e0) = e2 ),
inference(resolve,[$cnf( $equal(op(e1,e0),e2) )],[refute_0_538,refute_0_539]) ).
cnf(refute_0_541,plain,
( e2 != e2
| op(e0,e0) = e1
| op(e0,e0) = e2
| op(e1,e0) = e0
| op(e1,e0) = e1 ),
inference(resolve,[$cnf( $equal(op(e1,e0),e2) )],[refute_0_540,refute_0_529]) ).
cnf(refute_0_542,plain,
( op(e0,e0) = e1
| op(e0,e0) = e2
| op(e1,e0) = e0
| op(e1,e0) = e1 ),
inference(resolve,[$cnf( $equal(e2,e2) )],[refute_0_63,refute_0_541]) ).
cnf(refute_0_543,plain,
( e0 != e0
| op(e1,e0) != e0
| op(e1,e0) = e0 ),
introduced(tautology,[equality,[$cnf( $equal(op(e1,e0),e0) ),[0,1],$fot(e0)]]) ).
cnf(refute_0_544,plain,
( e0 != e0
| op(e0,e0) = e1
| op(e0,e0) = e2
| op(e1,e0) = e0
| op(e1,e0) = e1 ),
inference(resolve,[$cnf( $equal(op(e1,e0),e0) )],[refute_0_542,refute_0_543]) ).
cnf(refute_0_545,plain,
( e0 != e0
| op(e0,e0) = e1
| op(e0,e0) = e2
| op(e1,e0) = e1 ),
inference(resolve,[$cnf( $equal(op(e1,e0),e0) )],[refute_0_544,refute_0_522]) ).
cnf(refute_0_546,plain,
( op(e0,e0) = e1
| op(e0,e0) = e2
| op(e1,e0) = e1 ),
inference(resolve,[$cnf( $equal(e0,e0) )],[refute_0_10,refute_0_545]) ).
cnf(refute_0_547,plain,
op(e0,e2) != op(e1,e2),
inference(canonicalize,[],[normalize_0_57]) ).
cnf(refute_0_548,plain,
op(e1,e3) != op(e3,e3),
inference(canonicalize,[],[normalize_0_58]) ).
cnf(refute_0_549,plain,
( op(e1,e3) != e2
| op(e3,e3) != e2
| op(e1,e3) = op(e3,e3) ),
introduced(tautology,[equality,[$cnf( ~ $equal(op(e1,e3),op(e3,e3)) ),[1],$fot(e2)]]) ).
cnf(refute_0_550,plain,
( op(e1,e3) != e2
| op(e0,e0) = e2
| op(e1,e1) = e2
| op(e1,e3) = op(e3,e3) ),
inference(resolve,[$cnf( $equal(op(e3,e3),e2) )],[refute_0_158,refute_0_549]) ).
cnf(refute_0_551,plain,
( op(e1,e3) != e2
| op(e0,e0) = e2
| op(e1,e1) = e2 ),
inference(resolve,[$cnf( $equal(op(e1,e3),op(e3,e3)) )],[refute_0_550,refute_0_548]) ).
cnf(refute_0_552,plain,
( op(e1,e0) = e2
| op(e1,e1) = e2
| op(e1,e2) = e2
| op(e1,e3) = e2 ),
inference(canonicalize,[],[normalize_0_59]) ).
cnf(refute_0_553,plain,
( e2 != e2
| op(e1,e3) != e2
| op(e1,e3) = e2 ),
introduced(tautology,[equality,[$cnf( $equal(op(e1,e3),e2) ),[1],$fot(e2)]]) ).
cnf(refute_0_554,plain,
( e2 != e2
| op(e1,e0) = e2
| op(e1,e1) = e2
| op(e1,e2) = e2
| op(e1,e3) = e2 ),
inference(resolve,[$cnf( $equal(op(e1,e3),e2) )],[refute_0_552,refute_0_553]) ).
cnf(refute_0_555,plain,
( e2 != e2
| op(e0,e0) = e2
| op(e1,e0) = e2
| op(e1,e1) = e2
| op(e1,e2) = e2 ),
inference(resolve,[$cnf( $equal(op(e1,e3),e2) )],[refute_0_554,refute_0_551]) ).
cnf(refute_0_556,plain,
( op(e0,e0) = e2
| op(e1,e0) = e2
| op(e1,e1) = e2
| op(e1,e2) = e2 ),
inference(resolve,[$cnf( $equal(e2,e2) )],[refute_0_63,refute_0_555]) ).
cnf(refute_0_557,plain,
( op(e0,e2) != e2
| op(e1,e2) != e2
| op(e0,e2) = op(e1,e2) ),
introduced(tautology,[equality,[$cnf( ~ $equal(op(e0,e2),op(e1,e2)) ),[1],$fot(e2)]]) ).
cnf(refute_0_558,plain,
( op(e0,e2) != e2
| op(e0,e0) = e2
| op(e0,e2) = op(e1,e2)
| op(e1,e0) = e2
| op(e1,e1) = e2 ),
inference(resolve,[$cnf( $equal(op(e1,e2),e2) )],[refute_0_556,refute_0_557]) ).
cnf(refute_0_559,plain,
( op(e0,e2) != e2
| op(e0,e0) = e2
| op(e1,e0) = e2
| op(e1,e1) = e2 ),
inference(resolve,[$cnf( $equal(op(e0,e2),op(e1,e2)) )],[refute_0_558,refute_0_547]) ).
cnf(refute_0_560,plain,
op(e0,e2) != op(e2,e2),
inference(canonicalize,[],[normalize_0_60]) ).
cnf(refute_0_561,plain,
op(e0,e2) != op(e0,e3),
inference(canonicalize,[],[normalize_0_61]) ).
cnf(refute_0_562,plain,
( e0 != op(op(e3,e3),e3)
| e1 != op(e3,e3)
| e2 != op(op(e3,e3),op(e3,e3)) ),
inference(canonicalize,[],[normalize_0_62]) ).
cnf(refute_0_563,plain,
( e1 != e1
| e1 != op(e3,e3)
| op(e3,e3) = e1 ),
introduced(tautology,[equality,[$cnf( $equal(e1,e1) ),[0],$fot(op(e3,e3))]]) ).
cnf(refute_0_564,plain,
( e1 != op(e3,e3)
| op(e3,e3) = e1 ),
inference(resolve,[$cnf( $equal(e1,e1) )],[refute_0_22,refute_0_563]) ).
cnf(refute_0_565,plain,
op(e1,op(e3,e3)) = op(e1,op(e3,e3)),
introduced(tautology,[refl,[$fot(op(e1,op(e3,e3)))]]) ).
cnf(refute_0_566,plain,
( op(e1,op(e3,e3)) != op(e1,op(e3,e3))
| op(e3,e3) != e1
| op(e1,op(e3,e3)) = op(e1,e1) ),
introduced(tautology,[equality,[$cnf( $equal(op(e1,op(e3,e3)),op(e1,op(e3,e3))) ),[1,1],$fot(e1)]]) ).
cnf(refute_0_567,plain,
( op(e3,e3) != e1
| op(e1,op(e3,e3)) = op(e1,e1) ),
inference(resolve,[$cnf( $equal(op(e1,op(e3,e3)),op(e1,op(e3,e3))) )],[refute_0_565,refute_0_566]) ).
cnf(refute_0_568,plain,
( e1 != op(e3,e3)
| op(e1,op(e3,e3)) = op(e1,e1) ),
inference(resolve,[$cnf( $equal(op(e3,e3),e1) )],[refute_0_564,refute_0_567]) ).
cnf(refute_0_569,plain,
( op(e3,e3) != e1
| op(op(e3,e3),op(e3,e3)) != op(op(e3,e3),op(e3,e3))
| op(op(e3,e3),op(e3,e3)) = op(e1,op(e3,e3)) ),
introduced(tautology,[equality,[$cnf( $equal(op(op(e3,e3),op(e3,e3)),op(op(e3,e3),op(e3,e3))) ),[1,0],$fot(e1)]]) ).
cnf(refute_0_570,plain,
( op(e3,e3) != e1
| op(op(e3,e3),op(e3,e3)) = op(e1,op(e3,e3)) ),
inference(resolve,[$cnf( $equal(op(op(e3,e3),op(e3,e3)),op(op(e3,e3),op(e3,e3))) )],[refute_0_36,refute_0_569]) ).
cnf(refute_0_571,plain,
( e1 != op(e3,e3)
| op(op(e3,e3),op(e3,e3)) = op(e1,op(e3,e3)) ),
inference(resolve,[$cnf( $equal(op(e3,e3),e1) )],[refute_0_564,refute_0_570]) ).
cnf(refute_0_572,plain,
( op(e1,op(e3,e3)) != op(e1,e1)
| op(op(e3,e3),op(e3,e3)) != op(e1,op(e3,e3))
| op(op(e3,e3),op(e3,e3)) = op(e1,e1) ),
inference(subst,[],[refute_0_44:[bind(X,$fot(op(op(e3,e3),op(e3,e3)))),bind(Y,$fot(op(e1,op(e3,e3)))),bind(Z,$fot(op(e1,e1)))]]) ).
cnf(refute_0_573,plain,
( e1 != op(e3,e3)
| op(e1,op(e3,e3)) != op(e1,e1)
| op(op(e3,e3),op(e3,e3)) = op(e1,e1) ),
inference(resolve,[$cnf( $equal(op(op(e3,e3),op(e3,e3)),op(e1,op(e3,e3))) )],[refute_0_571,refute_0_572]) ).
cnf(refute_0_574,plain,
( e1 != op(e3,e3)
| op(op(e3,e3),op(e3,e3)) = op(e1,e1) ),
inference(resolve,[$cnf( $equal(op(e1,op(e3,e3)),op(e1,e1)) )],[refute_0_568,refute_0_573]) ).
cnf(refute_0_575,plain,
( e2 != op(e1,e1)
| op(op(e3,e3),op(e3,e3)) != op(e1,e1)
| e2 = op(op(e3,e3),op(e3,e3)) ),
introduced(tautology,[equality,[$cnf( ~ $equal(e2,op(op(e3,e3),op(e3,e3))) ),[1],$fot(op(e1,e1))]]) ).
cnf(refute_0_576,plain,
( e1 != op(e3,e3)
| e2 != op(e1,e1)
| e2 = op(op(e3,e3),op(e3,e3)) ),
inference(resolve,[$cnf( $equal(op(op(e3,e3),op(e3,e3)),op(e1,e1)) )],[refute_0_574,refute_0_575]) ).
cnf(refute_0_577,plain,
( e0 != op(op(e3,e3),e3)
| e1 != op(e3,e3)
| e2 != op(e1,e1) ),
inference(resolve,[$cnf( $equal(e2,op(op(e3,e3),op(e3,e3))) )],[refute_0_576,refute_0_562]) ).
cnf(refute_0_578,plain,
( op(e3,e3) != e1
| op(op(e3,e3),e3) != op(op(e3,e3),e3)
| op(op(e3,e3),e3) = op(e1,e3) ),
introduced(tautology,[equality,[$cnf( $equal(op(op(e3,e3),e3),op(op(e3,e3),e3)) ),[1,0],$fot(e1)]]) ).
cnf(refute_0_579,plain,
( op(e3,e3) != e1
| op(op(e3,e3),e3) = op(e1,e3) ),
inference(resolve,[$cnf( $equal(op(op(e3,e3),e3),op(op(e3,e3),e3)) )],[refute_0_51,refute_0_578]) ).
cnf(refute_0_580,plain,
( e1 != op(e3,e3)
| op(op(e3,e3),e3) = op(e1,e3) ),
inference(resolve,[$cnf( $equal(op(e3,e3),e1) )],[refute_0_564,refute_0_579]) ).
cnf(refute_0_581,plain,
( e0 != op(e1,e3)
| op(op(e3,e3),e3) != op(e1,e3)
| e0 = op(op(e3,e3),e3) ),
introduced(tautology,[equality,[$cnf( ~ $equal(e0,op(op(e3,e3),e3)) ),[1],$fot(op(e1,e3))]]) ).
cnf(refute_0_582,plain,
( e0 != op(e1,e3)
| e1 != op(e3,e3)
| e0 = op(op(e3,e3),e3) ),
inference(resolve,[$cnf( $equal(op(op(e3,e3),e3),op(e1,e3)) )],[refute_0_580,refute_0_581]) ).
cnf(refute_0_583,plain,
( e0 != op(e1,e3)
| e1 != op(e3,e3)
| e2 != op(e1,e1) ),
inference(resolve,[$cnf( $equal(e0,op(op(e3,e3),e3)) )],[refute_0_582,refute_0_577]) ).
cnf(refute_0_584,plain,
( e2 != e2
| op(e1,e1) = e0
| op(e1,e1) = e1
| op(e1,e1) = e2
| op(e1,e1) = e3 ),
inference(resolve,[$cnf( $equal(op(e1,e1),e2) )],[refute_0_222,refute_0_408]) ).
cnf(refute_0_585,plain,
( e2 != e2
| op(e0,e0) = e1
| op(e1,e1) = e0
| op(e1,e1) = e1
| op(e1,e1) = e3
| op(e3,e3) = e1 ),
inference(resolve,[$cnf( $equal(op(e1,e1),e2) )],[refute_0_584,refute_0_371]) ).
cnf(refute_0_586,plain,
( op(e0,e0) = e1
| op(e1,e1) = e0
| op(e1,e1) = e1
| op(e1,e1) = e3
| op(e3,e3) = e1 ),
inference(resolve,[$cnf( $equal(e2,e2) )],[refute_0_63,refute_0_585]) ).
cnf(refute_0_587,plain,
( e1 != e1
| e1 = op(e3,e3)
| op(e0,e0) = e1
| op(e1,e1) = e0
| op(e1,e1) = e1
| op(e1,e1) = e3 ),
inference(resolve,[$cnf( $equal(op(e3,e3),e1) )],[refute_0_586,refute_0_296]) ).
cnf(refute_0_588,plain,
( e0 != op(e1,e3)
| e1 != e1
| e2 != op(e1,e1)
| op(e0,e0) = e1
| op(e1,e1) = e0
| op(e1,e1) = e1
| op(e1,e1) = e3 ),
inference(resolve,[$cnf( $equal(e1,op(e3,e3)) )],[refute_0_587,refute_0_583]) ).
cnf(refute_0_589,plain,
( e0 != op(e1,e3)
| e2 != op(e1,e1)
| op(e0,e0) = e1
| op(e1,e1) = e0
| op(e1,e1) = e1
| op(e1,e1) = e3 ),
inference(resolve,[$cnf( $equal(e1,e1) )],[refute_0_22,refute_0_588]) ).
cnf(refute_0_590,plain,
( e0 != op(e1,e3)
| e2 != op(e1,e1)
| e2 = e0
| op(e0,e0) = e1
| op(e1,e1) = e1
| op(e1,e1) = e3 ),
inference(resolve,[$cnf( $equal(op(e1,e1),e0) )],[refute_0_589,refute_0_144]) ).
cnf(refute_0_591,plain,
( op(e1,e1) != e1
| op(e1,e1) != e2
| e2 = e1 ),
introduced(tautology,[equality,[$cnf( $equal(op(e1,e1),e1) ),[0],$fot(e2)]]) ).
cnf(refute_0_592,plain,
( e2 != op(e1,e1)
| op(e1,e1) != e1
| e2 = e1 ),
inference(resolve,[$cnf( $equal(op(e1,e1),e2) )],[refute_0_103,refute_0_591]) ).
cnf(refute_0_593,plain,
( e0 != op(e1,e3)
| e2 != op(e1,e1)
| e2 = e0
| e2 = e1
| op(e0,e0) = e1
| op(e1,e1) = e3 ),
inference(resolve,[$cnf( $equal(op(e1,e1),e1) )],[refute_0_590,refute_0_592]) ).
cnf(refute_0_594,plain,
( e0 != op(e1,e3)
| e2 != op(e1,e1)
| e2 = e0
| e2 = e1
| e2 = e3
| op(e0,e0) = e1 ),
inference(resolve,[$cnf( $equal(op(e1,e1),e3) )],[refute_0_593,refute_0_131]) ).
cnf(refute_0_595,plain,
( e0 != op(e1,e3)
| e2 != op(e1,e1)
| e2 = e1
| e2 = e3
| op(e0,e0) = e1 ),
inference(resolve,[$cnf( $equal(e2,e0) )],[refute_0_594,refute_0_82]) ).
cnf(refute_0_596,plain,
( e0 != op(e1,e3)
| e2 != op(e1,e1)
| e2 = e3
| op(e0,e0) = e1 ),
inference(resolve,[$cnf( $equal(e2,e1) )],[refute_0_595,refute_0_86]) ).
cnf(refute_0_597,plain,
( e0 != op(e1,e3)
| e2 != op(e1,e1)
| op(e0,e0) = e1 ),
inference(resolve,[$cnf( $equal(e2,e3) )],[refute_0_596,refute_0_88]) ).
cnf(refute_0_598,plain,
op(e2,e2) != op(e2,e3),
inference(canonicalize,[],[normalize_0_63]) ).
cnf(refute_0_599,plain,
( op(e0,e3) = e0
| op(e1,e3) = e0
| op(e2,e3) = e0
| op(e3,e3) = e0 ),
inference(canonicalize,[],[normalize_0_64]) ).
cnf(refute_0_600,plain,
( e0 != e0
| op(e0,e3) = e0
| op(e1,e3) = e0
| op(e2,e3) = e0
| op(e3,e3) = e0 ),
inference(resolve,[$cnf( $equal(op(e3,e3),e0) )],[refute_0_599,refute_0_320]) ).
cnf(refute_0_601,plain,
( e0 != e0
| op(e0,e3) = e0
| op(e1,e1) = e3
| op(e1,e3) = e0
| op(e2,e2) = e3
| op(e2,e3) = e0 ),
inference(resolve,[$cnf( $equal(op(e3,e3),e0) )],[refute_0_600,refute_0_319]) ).
cnf(refute_0_602,plain,
( op(e0,e3) = e0
| op(e1,e1) = e3
| op(e1,e3) = e0
| op(e2,e2) = e3
| op(e2,e3) = e0 ),
inference(resolve,[$cnf( $equal(e0,e0) )],[refute_0_10,refute_0_601]) ).
cnf(refute_0_603,plain,
( op(e2,e2) != e0
| op(e2,e3) != e0
| op(e2,e2) = op(e2,e3) ),
introduced(tautology,[equality,[$cnf( ~ $equal(op(e2,e2),op(e2,e3)) ),[1],$fot(e0)]]) ).
cnf(refute_0_604,plain,
( op(e2,e2) != e0
| op(e0,e3) = e0
| op(e1,e1) = e3
| op(e1,e3) = e0
| op(e2,e2) = e3
| op(e2,e2) = op(e2,e3) ),
inference(resolve,[$cnf( $equal(op(e2,e3),e0) )],[refute_0_602,refute_0_603]) ).
cnf(refute_0_605,plain,
( op(e2,e2) != e0
| op(e0,e3) = e0
| op(e1,e1) = e3
| op(e1,e3) = e0
| op(e2,e2) = e3 ),
inference(resolve,[$cnf( $equal(op(e2,e2),op(e2,e3)) )],[refute_0_604,refute_0_598]) ).
cnf(refute_0_606,plain,
( op(e2,e2) != e0
| e0 = e3
| op(e0,e3) = e0
| op(e1,e1) = e3
| op(e1,e3) = e0 ),
inference(resolve,[$cnf( $equal(op(e2,e2),e3) )],[refute_0_605,refute_0_134]) ).
cnf(refute_0_607,plain,
( op(e2,e2) != e0
| op(e0,e3) = e0
| op(e1,e1) = e3
| op(e1,e3) = e0 ),
inference(resolve,[$cnf( $equal(e0,e3) )],[refute_0_606,refute_0_137]) ).
cnf(refute_0_608,plain,
( e0 != e0
| op(e2,e2) != e0
| op(e2,e2) = e0 ),
introduced(tautology,[equality,[$cnf( $equal(op(e2,e2),e0) ),[1],$fot(e0)]]) ).
cnf(refute_0_609,plain,
( e0 != e0
| op(e0,e0) = e1
| op(e1,e1) = e0
| op(e1,e1) = e3
| op(e2,e2) = e0 ),
inference(resolve,[$cnf( $equal(op(e2,e2),e0) )],[refute_0_330,refute_0_608]) ).
cnf(refute_0_610,plain,
( e0 != e0
| op(e0,e0) = e1
| op(e0,e3) = e0
| op(e1,e1) = e0
| op(e1,e1) = e3
| op(e1,e3) = e0 ),
inference(resolve,[$cnf( $equal(op(e2,e2),e0) )],[refute_0_609,refute_0_607]) ).
cnf(refute_0_611,plain,
( op(e0,e0) = e1
| op(e0,e3) = e0
| op(e1,e1) = e0
| op(e1,e1) = e3
| op(e1,e3) = e0 ),
inference(resolve,[$cnf( $equal(e0,e0) )],[refute_0_10,refute_0_610]) ).
cnf(refute_0_612,plain,
( e0 != e0
| op(e1,e3) != e0
| e0 = op(e1,e3) ),
introduced(tautology,[equality,[$cnf( ~ $equal(e0,op(e1,e3)) ),[1],$fot(e0)]]) ).
cnf(refute_0_613,plain,
( e0 != e0
| e0 = op(e1,e3)
| op(e0,e0) = e1
| op(e0,e3) = e0
| op(e1,e1) = e0
| op(e1,e1) = e3 ),
inference(resolve,[$cnf( $equal(op(e1,e3),e0) )],[refute_0_611,refute_0_612]) ).
cnf(refute_0_614,plain,
( e0 != e0
| e2 != op(e1,e1)
| op(e0,e0) = e1
| op(e0,e3) = e0
| op(e1,e1) = e0
| op(e1,e1) = e3 ),
inference(resolve,[$cnf( $equal(e0,op(e1,e3)) )],[refute_0_613,refute_0_597]) ).
cnf(refute_0_615,plain,
( e2 != op(e1,e1)
| op(e0,e0) = e1
| op(e0,e3) = e0
| op(e1,e1) = e0
| op(e1,e1) = e3 ),
inference(resolve,[$cnf( $equal(e0,e0) )],[refute_0_10,refute_0_614]) ).
cnf(refute_0_616,plain,
( e2 != op(e1,e1)
| e2 = e0
| op(e0,e0) = e1
| op(e0,e3) = e0
| op(e1,e1) = e3 ),
inference(resolve,[$cnf( $equal(op(e1,e1),e0) )],[refute_0_615,refute_0_144]) ).
cnf(refute_0_617,plain,
( e2 != op(e1,e1)
| e2 = e0
| e2 = e3
| op(e0,e0) = e1
| op(e0,e3) = e0 ),
inference(resolve,[$cnf( $equal(op(e1,e1),e3) )],[refute_0_616,refute_0_131]) ).
cnf(refute_0_618,plain,
( e2 != op(e1,e1)
| e2 = e3
| op(e0,e0) = e1
| op(e0,e3) = e0 ),
inference(resolve,[$cnf( $equal(e2,e0) )],[refute_0_617,refute_0_82]) ).
cnf(refute_0_619,plain,
( e2 != op(e1,e1)
| op(e0,e0) = e1
| op(e0,e3) = e0 ),
inference(resolve,[$cnf( $equal(e2,e3) )],[refute_0_618,refute_0_88]) ).
cnf(refute_0_620,plain,
( e2 != e2
| e2 = op(e1,e1)
| op(e0,e0) = e1
| op(e0,e0) = e2
| op(e1,e1) = e0 ),
inference(resolve,[$cnf( $equal(op(e1,e1),e2) )],[refute_0_173,refute_0_154]) ).
cnf(refute_0_621,plain,
( e2 != e2
| op(e0,e0) = e1
| op(e0,e0) = e2
| op(e0,e3) = e0
| op(e1,e1) = e0 ),
inference(resolve,[$cnf( $equal(e2,op(e1,e1)) )],[refute_0_620,refute_0_619]) ).
cnf(refute_0_622,plain,
( op(e0,e0) = e1
| op(e0,e0) = e2
| op(e0,e3) = e0
| op(e1,e1) = e0 ),
inference(resolve,[$cnf( $equal(e2,e2) )],[refute_0_63,refute_0_621]) ).
cnf(refute_0_623,plain,
op(e1,e1) != op(e1,e3),
inference(canonicalize,[],[normalize_0_65]) ).
cnf(refute_0_624,plain,
( e0 != op(e1,e3)
| op(e1,e1) != e0
| op(e1,e1) = op(e1,e3) ),
introduced(tautology,[equality,[$cnf( $equal(op(e1,e1),e0) ),[1],$fot(op(e1,e3))]]) ).
cnf(refute_0_625,plain,
( e0 != op(e1,e3)
| op(e1,e1) = e1
| op(e1,e1) = e2
| op(e1,e1) = e3
| op(e1,e1) = op(e1,e3) ),
inference(resolve,[$cnf( $equal(op(e1,e1),e0) )],[refute_0_222,refute_0_624]) ).
cnf(refute_0_626,plain,
( e0 != op(e1,e3)
| op(e1,e1) = e1
| op(e1,e1) = e2
| op(e1,e1) = e3 ),
inference(resolve,[$cnf( $equal(op(e1,e1),op(e1,e3)) )],[refute_0_625,refute_0_623]) ).
cnf(refute_0_627,plain,
( e0 != op(op(e3,e3),e3)
| e1 != op(op(e3,e3),op(e3,e3))
| e2 != op(e3,e3) ),
inference(canonicalize,[],[normalize_0_66]) ).
cnf(refute_0_628,plain,
( e2 != e2
| e2 != op(e3,e3)
| op(e3,e3) = e2 ),
introduced(tautology,[equality,[$cnf( $equal(e2,e2) ),[0],$fot(op(e3,e3))]]) ).
cnf(refute_0_629,plain,
( e2 != op(e3,e3)
| op(e3,e3) = e2 ),
inference(resolve,[$cnf( $equal(e2,e2) )],[refute_0_63,refute_0_628]) ).
cnf(refute_0_630,plain,
op(e2,op(e3,e3)) = op(e2,op(e3,e3)),
introduced(tautology,[refl,[$fot(op(e2,op(e3,e3)))]]) ).
cnf(refute_0_631,plain,
( op(e2,op(e3,e3)) != op(e2,op(e3,e3))
| op(e3,e3) != e2
| op(e2,op(e3,e3)) = op(e2,e2) ),
introduced(tautology,[equality,[$cnf( $equal(op(e2,op(e3,e3)),op(e2,op(e3,e3))) ),[1,1],$fot(e2)]]) ).
cnf(refute_0_632,plain,
( op(e3,e3) != e2
| op(e2,op(e3,e3)) = op(e2,e2) ),
inference(resolve,[$cnf( $equal(op(e2,op(e3,e3)),op(e2,op(e3,e3))) )],[refute_0_630,refute_0_631]) ).
cnf(refute_0_633,plain,
( e2 != op(e3,e3)
| op(e2,op(e3,e3)) = op(e2,e2) ),
inference(resolve,[$cnf( $equal(op(e3,e3),e2) )],[refute_0_629,refute_0_632]) ).
cnf(refute_0_634,plain,
( op(e3,e3) != e2
| op(op(e3,e3),op(e3,e3)) != op(op(e3,e3),op(e3,e3))
| op(op(e3,e3),op(e3,e3)) = op(e2,op(e3,e3)) ),
introduced(tautology,[equality,[$cnf( $equal(op(op(e3,e3),op(e3,e3)),op(op(e3,e3),op(e3,e3))) ),[1,0],$fot(e2)]]) ).
cnf(refute_0_635,plain,
( op(e3,e3) != e2
| op(op(e3,e3),op(e3,e3)) = op(e2,op(e3,e3)) ),
inference(resolve,[$cnf( $equal(op(op(e3,e3),op(e3,e3)),op(op(e3,e3),op(e3,e3))) )],[refute_0_36,refute_0_634]) ).
cnf(refute_0_636,plain,
( e2 != op(e3,e3)
| op(op(e3,e3),op(e3,e3)) = op(e2,op(e3,e3)) ),
inference(resolve,[$cnf( $equal(op(e3,e3),e2) )],[refute_0_629,refute_0_635]) ).
cnf(refute_0_637,plain,
( op(e2,op(e3,e3)) != op(e2,e2)
| op(op(e3,e3),op(e3,e3)) != op(e2,op(e3,e3))
| op(op(e3,e3),op(e3,e3)) = op(e2,e2) ),
inference(subst,[],[refute_0_44:[bind(X,$fot(op(op(e3,e3),op(e3,e3)))),bind(Y,$fot(op(e2,op(e3,e3)))),bind(Z,$fot(op(e2,e2)))]]) ).
cnf(refute_0_638,plain,
( e2 != op(e3,e3)
| op(e2,op(e3,e3)) != op(e2,e2)
| op(op(e3,e3),op(e3,e3)) = op(e2,e2) ),
inference(resolve,[$cnf( $equal(op(op(e3,e3),op(e3,e3)),op(e2,op(e3,e3))) )],[refute_0_636,refute_0_637]) ).
cnf(refute_0_639,plain,
( e2 != op(e3,e3)
| op(op(e3,e3),op(e3,e3)) = op(e2,e2) ),
inference(resolve,[$cnf( $equal(op(e2,op(e3,e3)),op(e2,e2)) )],[refute_0_633,refute_0_638]) ).
cnf(refute_0_640,plain,
( e1 != op(e2,e2)
| op(op(e3,e3),op(e3,e3)) != op(e2,e2)
| e1 = op(op(e3,e3),op(e3,e3)) ),
introduced(tautology,[equality,[$cnf( ~ $equal(e1,op(op(e3,e3),op(e3,e3))) ),[1],$fot(op(e2,e2))]]) ).
cnf(refute_0_641,plain,
( e1 != op(e2,e2)
| e2 != op(e3,e3)
| e1 = op(op(e3,e3),op(e3,e3)) ),
inference(resolve,[$cnf( $equal(op(op(e3,e3),op(e3,e3)),op(e2,e2)) )],[refute_0_639,refute_0_640]) ).
cnf(refute_0_642,plain,
( e0 != op(op(e3,e3),e3)
| e1 != op(e2,e2)
| e2 != op(e3,e3) ),
inference(resolve,[$cnf( $equal(e1,op(op(e3,e3),op(e3,e3))) )],[refute_0_641,refute_0_627]) ).
cnf(refute_0_643,plain,
( op(e3,e3) != e2
| op(op(e3,e3),e3) != op(op(e3,e3),e3)
| op(op(e3,e3),e3) = op(e2,e3) ),
introduced(tautology,[equality,[$cnf( $equal(op(op(e3,e3),e3),op(op(e3,e3),e3)) ),[1,0],$fot(e2)]]) ).
cnf(refute_0_644,plain,
( op(e3,e3) != e2
| op(op(e3,e3),e3) = op(e2,e3) ),
inference(resolve,[$cnf( $equal(op(op(e3,e3),e3),op(op(e3,e3),e3)) )],[refute_0_51,refute_0_643]) ).
cnf(refute_0_645,plain,
( e2 != op(e3,e3)
| op(op(e3,e3),e3) = op(e2,e3) ),
inference(resolve,[$cnf( $equal(op(e3,e3),e2) )],[refute_0_629,refute_0_644]) ).
cnf(refute_0_646,plain,
( e0 != op(e2,e3)
| op(op(e3,e3),e3) != op(e2,e3)
| e0 = op(op(e3,e3),e3) ),
introduced(tautology,[equality,[$cnf( ~ $equal(e0,op(op(e3,e3),e3)) ),[1],$fot(op(e2,e3))]]) ).
cnf(refute_0_647,plain,
( e0 != op(e2,e3)
| e2 != op(e3,e3)
| e0 = op(op(e3,e3),e3) ),
inference(resolve,[$cnf( $equal(op(op(e3,e3),e3),op(e2,e3)) )],[refute_0_645,refute_0_646]) ).
cnf(refute_0_648,plain,
( e0 != op(e2,e3)
| e1 != op(e2,e2)
| e2 != op(e3,e3) ),
inference(resolve,[$cnf( $equal(e0,op(op(e3,e3),e3)) )],[refute_0_647,refute_0_642]) ).
cnf(refute_0_649,plain,
( e0 != op(e2,e3)
| e1 != op(e2,e2)
| e2 != e2
| op(e0,e0) = e2
| op(e1,e1) = e2 ),
inference(resolve,[$cnf( $equal(e2,op(e3,e3)) )],[refute_0_381,refute_0_648]) ).
cnf(refute_0_650,plain,
( e0 != op(e2,e3)
| e1 != op(e2,e2)
| op(e0,e0) = e2
| op(e1,e1) = e2 ),
inference(resolve,[$cnf( $equal(e2,e2) )],[refute_0_63,refute_0_649]) ).
cnf(refute_0_651,plain,
( op(e3,e3) != e0
| op(e3,e3) != e2
| e0 = e2 ),
introduced(tautology,[equality,[$cnf( $equal(op(e3,e3),e2) ),[0],$fot(e0)]]) ).
cnf(refute_0_652,plain,
( op(e3,e3) != e2
| e0 = e2
| op(e0,e3) = e0
| op(e1,e3) = e0
| op(e2,e3) = e0 ),
inference(resolve,[$cnf( $equal(op(e3,e3),e0) )],[refute_0_599,refute_0_651]) ).
cnf(refute_0_653,plain,
( e0 = e2
| op(e0,e0) = e2
| op(e0,e3) = e0
| op(e1,e1) = e2
| op(e1,e3) = e0
| op(e2,e3) = e0 ),
inference(resolve,[$cnf( $equal(op(e3,e3),e2) )],[refute_0_158,refute_0_652]) ).
cnf(refute_0_654,plain,
( op(e0,e0) = e2
| op(e0,e3) = e0
| op(e1,e1) = e2
| op(e1,e3) = e0
| op(e2,e3) = e0 ),
inference(resolve,[$cnf( $equal(e0,e2) )],[refute_0_653,refute_0_80]) ).
cnf(refute_0_655,plain,
( e0 != e0
| op(e2,e3) != e0
| e0 = op(e2,e3) ),
introduced(tautology,[equality,[$cnf( ~ $equal(e0,op(e2,e3)) ),[1],$fot(e0)]]) ).
cnf(refute_0_656,plain,
( e0 != e0
| e0 = op(e2,e3)
| op(e0,e0) = e2
| op(e0,e3) = e0
| op(e1,e1) = e2
| op(e1,e3) = e0 ),
inference(resolve,[$cnf( $equal(op(e2,e3),e0) )],[refute_0_654,refute_0_655]) ).
cnf(refute_0_657,plain,
( e0 != e0
| e1 != op(e2,e2)
| op(e0,e0) = e2
| op(e0,e3) = e0
| op(e1,e1) = e2
| op(e1,e3) = e0 ),
inference(resolve,[$cnf( $equal(e0,op(e2,e3)) )],[refute_0_656,refute_0_650]) ).
cnf(refute_0_658,plain,
( e1 != op(e2,e2)
| op(e0,e0) = e2
| op(e0,e3) = e0
| op(e1,e1) = e2
| op(e1,e3) = e0 ),
inference(resolve,[$cnf( $equal(e0,e0) )],[refute_0_10,refute_0_657]) ).
cnf(refute_0_659,plain,
( e1 != e1
| op(e0,e0) = e1
| op(e0,e0) = e2
| op(e0,e3) = e0
| op(e1,e1) = e2
| op(e1,e3) = e0 ),
inference(resolve,[$cnf( $equal(e1,op(e2,e2)) )],[refute_0_405,refute_0_658]) ).
cnf(refute_0_660,plain,
( op(e0,e0) = e1
| op(e0,e0) = e2
| op(e0,e3) = e0
| op(e1,e1) = e2
| op(e1,e3) = e0 ),
inference(resolve,[$cnf( $equal(e1,e1) )],[refute_0_22,refute_0_659]) ).
cnf(refute_0_661,plain,
( e0 != e0
| e0 = op(e1,e3)
| op(e0,e0) = e1
| op(e0,e0) = e2
| op(e0,e3) = e0
| op(e1,e1) = e2 ),
inference(resolve,[$cnf( $equal(op(e1,e3),e0) )],[refute_0_660,refute_0_612]) ).
cnf(refute_0_662,plain,
( e0 != e0
| op(e0,e0) = e1
| op(e0,e0) = e2
| op(e0,e3) = e0
| op(e1,e1) = e1
| op(e1,e1) = e2
| op(e1,e1) = e3 ),
inference(resolve,[$cnf( $equal(e0,op(e1,e3)) )],[refute_0_661,refute_0_626]) ).
cnf(refute_0_663,plain,
( op(e0,e0) = e1
| op(e0,e0) = e2
| op(e0,e3) = e0
| op(e1,e1) = e1
| op(e1,e1) = e2
| op(e1,e1) = e3 ),
inference(resolve,[$cnf( $equal(e0,e0) )],[refute_0_10,refute_0_662]) ).
cnf(refute_0_664,plain,
( op(e1,e1) != e0
| op(e1,e1) != e1
| e1 = e0 ),
introduced(tautology,[equality,[$cnf( $equal(op(e1,e1),e0) ),[0],$fot(e1)]]) ).
cnf(refute_0_665,plain,
( op(e1,e1) != e0
| e1 = e0
| op(e0,e0) = e1
| op(e0,e0) = e2
| op(e0,e3) = e0
| op(e1,e1) = e2
| op(e1,e1) = e3 ),
inference(resolve,[$cnf( $equal(op(e1,e1),e1) )],[refute_0_663,refute_0_664]) ).
cnf(refute_0_666,plain,
( e1 = e0
| op(e0,e0) = e1
| op(e0,e0) = e2
| op(e0,e3) = e0
| op(e1,e1) = e2
| op(e1,e1) = e3 ),
inference(resolve,[$cnf( $equal(op(e1,e1),e0) )],[refute_0_622,refute_0_665]) ).
cnf(refute_0_667,plain,
( op(e0,e0) = e1
| op(e0,e0) = e2
| op(e0,e3) = e0
| op(e1,e1) = e2
| op(e1,e1) = e3 ),
inference(resolve,[$cnf( $equal(e1,e0) )],[refute_0_666,refute_0_172]) ).
cnf(refute_0_668,plain,
( op(e1,e1) != e0
| e2 = e0
| op(e0,e0) = e1
| op(e0,e0) = e2
| op(e0,e3) = e0
| op(e1,e1) = e3 ),
inference(resolve,[$cnf( $equal(op(e1,e1),e2) )],[refute_0_667,refute_0_143]) ).
cnf(refute_0_669,plain,
( e2 = e0
| op(e0,e0) = e1
| op(e0,e0) = e2
| op(e0,e3) = e0
| op(e1,e1) = e3 ),
inference(resolve,[$cnf( $equal(op(e1,e1),e0) )],[refute_0_622,refute_0_668]) ).
cnf(refute_0_670,plain,
( op(e0,e0) = e1
| op(e0,e0) = e2
| op(e0,e3) = e0
| op(e1,e1) = e3 ),
inference(resolve,[$cnf( $equal(e2,e0) )],[refute_0_669,refute_0_82]) ).
cnf(refute_0_671,plain,
( op(e1,e1) != e0
| e3 = e0
| op(e0,e0) = e1
| op(e0,e0) = e2
| op(e0,e3) = e0 ),
inference(resolve,[$cnf( $equal(op(e1,e1),e3) )],[refute_0_670,refute_0_233]) ).
cnf(refute_0_672,plain,
( e3 = e0
| op(e0,e0) = e1
| op(e0,e0) = e2
| op(e0,e3) = e0 ),
inference(resolve,[$cnf( $equal(op(e1,e1),e0) )],[refute_0_622,refute_0_671]) ).
cnf(refute_0_673,plain,
( op(e0,e0) = e1
| op(e0,e0) = e2
| op(e0,e3) = e0 ),
inference(resolve,[$cnf( $equal(e3,e0) )],[refute_0_672,refute_0_243]) ).
cnf(refute_0_674,plain,
( op(e0,e2) != e0
| op(e0,e3) != e0
| op(e0,e2) = op(e0,e3) ),
introduced(tautology,[equality,[$cnf( ~ $equal(op(e0,e2),op(e0,e3)) ),[1],$fot(e0)]]) ).
cnf(refute_0_675,plain,
( op(e0,e2) != e0
| op(e0,e0) = e1
| op(e0,e0) = e2
| op(e0,e2) = op(e0,e3) ),
inference(resolve,[$cnf( $equal(op(e0,e3),e0) )],[refute_0_673,refute_0_674]) ).
cnf(refute_0_676,plain,
( op(e0,e2) != e0
| op(e0,e0) = e1
| op(e0,e0) = e2 ),
inference(resolve,[$cnf( $equal(op(e0,e2),op(e0,e3)) )],[refute_0_675,refute_0_561]) ).
cnf(refute_0_677,plain,
op(e0,e0) != op(e0,e2),
inference(canonicalize,[],[normalize_0_67]) ).
cnf(refute_0_678,plain,
( e3 != op(e0,e2)
| op(e0,e0) != e3
| op(e0,e0) = op(e0,e2) ),
introduced(tautology,[equality,[$cnf( $equal(op(e0,e0),e3) ),[1],$fot(op(e0,e2))]]) ).
cnf(refute_0_679,plain,
( e3 != op(e0,e2)
| op(e0,e0) = e0
| op(e0,e0) = e1
| op(e0,e0) = e2
| op(e0,e0) = op(e0,e2) ),
inference(resolve,[$cnf( $equal(op(e0,e0),e3) )],[refute_0_59,refute_0_678]) ).
cnf(refute_0_680,plain,
( e3 != op(e0,e2)
| op(e0,e0) = e0
| op(e0,e0) = e1
| op(e0,e0) = e2 ),
inference(resolve,[$cnf( $equal(op(e0,e0),op(e0,e2)) )],[refute_0_679,refute_0_677]) ).
cnf(refute_0_681,plain,
( e3 != op(e0,e2)
| op(e0,e0) = e1
| op(e0,e0) = e2 ),
inference(resolve,[$cnf( $equal(op(e0,e0),e0) )],[refute_0_680,refute_0_192]) ).
cnf(refute_0_682,plain,
( op(e0,e2) = e0
| op(e0,e2) = e1
| op(e0,e2) = e2
| op(e0,e2) = e3 ),
inference(canonicalize,[],[normalize_0_68]) ).
cnf(refute_0_683,plain,
( e3 != e3
| op(e0,e2) != e3
| e3 = op(e0,e2) ),
introduced(tautology,[equality,[$cnf( ~ $equal(e3,op(e0,e2)) ),[1],$fot(e3)]]) ).
cnf(refute_0_684,plain,
( e3 != e3
| e3 = op(e0,e2)
| op(e0,e2) = e0
| op(e0,e2) = e1
| op(e0,e2) = e2 ),
inference(resolve,[$cnf( $equal(op(e0,e2),e3) )],[refute_0_682,refute_0_683]) ).
cnf(refute_0_685,plain,
( e3 != e3
| op(e0,e0) = e1
| op(e0,e0) = e2
| op(e0,e2) = e0
| op(e0,e2) = e1
| op(e0,e2) = e2 ),
inference(resolve,[$cnf( $equal(e3,op(e0,e2)) )],[refute_0_684,refute_0_681]) ).
cnf(refute_0_686,plain,
( op(e0,e0) = e1
| op(e0,e0) = e2
| op(e0,e2) = e0
| op(e0,e2) = e1
| op(e0,e2) = e2 ),
inference(resolve,[$cnf( $equal(e3,e3) )],[refute_0_128,refute_0_685]) ).
cnf(refute_0_687,plain,
( e0 != e0
| op(e0,e2) != e0
| op(e0,e2) = e0 ),
introduced(tautology,[equality,[$cnf( $equal(op(e0,e2),e0) ),[0,0],$fot(e0)]]) ).
cnf(refute_0_688,plain,
( e0 != e0
| op(e0,e0) = e1
| op(e0,e0) = e2
| op(e0,e2) = e0
| op(e0,e2) = e1
| op(e0,e2) = e2 ),
inference(resolve,[$cnf( $equal(op(e0,e2),e0) )],[refute_0_686,refute_0_687]) ).
cnf(refute_0_689,plain,
( e0 != e0
| op(e0,e0) = e1
| op(e0,e0) = e2
| op(e0,e2) = e1
| op(e0,e2) = e2 ),
inference(resolve,[$cnf( $equal(op(e0,e2),e0) )],[refute_0_688,refute_0_676]) ).
cnf(refute_0_690,plain,
( op(e0,e0) = e1
| op(e0,e0) = e2
| op(e0,e2) = e1
| op(e0,e2) = e2 ),
inference(resolve,[$cnf( $equal(e0,e0) )],[refute_0_10,refute_0_689]) ).
cnf(refute_0_691,plain,
( e1 != op(e2,e2)
| op(e0,e2) != e1
| op(e0,e2) = op(e2,e2) ),
introduced(tautology,[equality,[$cnf( $equal(op(e0,e2),e1) ),[1],$fot(op(e2,e2))]]) ).
cnf(refute_0_692,plain,
( e1 != op(e2,e2)
| op(e0,e0) = e1
| op(e0,e0) = e2
| op(e0,e2) = e2
| op(e0,e2) = op(e2,e2) ),
inference(resolve,[$cnf( $equal(op(e0,e2),e1) )],[refute_0_690,refute_0_691]) ).
cnf(refute_0_693,plain,
( e1 != op(e2,e2)
| op(e0,e0) = e1
| op(e0,e0) = e2
| op(e0,e2) = e2 ),
inference(resolve,[$cnf( $equal(op(e0,e2),op(e2,e2)) )],[refute_0_692,refute_0_560]) ).
cnf(refute_0_694,plain,
( e1 != e1
| op(e0,e0) = e1
| op(e0,e0) = e2
| op(e0,e2) = e2
| op(e1,e1) = e2 ),
inference(resolve,[$cnf( $equal(e1,op(e2,e2)) )],[refute_0_405,refute_0_693]) ).
cnf(refute_0_695,plain,
( op(e0,e0) = e1
| op(e0,e0) = e2
| op(e0,e2) = e2
| op(e1,e1) = e2 ),
inference(resolve,[$cnf( $equal(e1,e1) )],[refute_0_22,refute_0_694]) ).
cnf(refute_0_696,plain,
( e0 != op(e2,e2)
| e1 != op(op(e2,e2),e2)
| e3 != op(op(e2,e2),op(e2,e2)) ),
inference(canonicalize,[],[normalize_0_69]) ).
cnf(refute_0_697,plain,
( e0 != e0
| e0 != op(e2,e2)
| op(e2,e2) = e0 ),
introduced(tautology,[equality,[$cnf( $equal(e0,e0) ),[0],$fot(op(e2,e2))]]) ).
cnf(refute_0_698,plain,
( e0 != op(e2,e2)
| op(e2,e2) = e0 ),
inference(resolve,[$cnf( $equal(e0,e0) )],[refute_0_10,refute_0_697]) ).
cnf(refute_0_699,plain,
op(e0,op(e2,e2)) = op(e0,op(e2,e2)),
introduced(tautology,[refl,[$fot(op(e0,op(e2,e2)))]]) ).
cnf(refute_0_700,plain,
( op(e0,op(e2,e2)) != op(e0,op(e2,e2))
| op(e2,e2) != e0
| op(e0,op(e2,e2)) = op(e0,e0) ),
introduced(tautology,[equality,[$cnf( $equal(op(e0,op(e2,e2)),op(e0,op(e2,e2))) ),[1,1],$fot(e0)]]) ).
cnf(refute_0_701,plain,
( op(e2,e2) != e0
| op(e0,op(e2,e2)) = op(e0,e0) ),
inference(resolve,[$cnf( $equal(op(e0,op(e2,e2)),op(e0,op(e2,e2))) )],[refute_0_699,refute_0_700]) ).
cnf(refute_0_702,plain,
( e0 != op(e2,e2)
| op(e0,op(e2,e2)) = op(e0,e0) ),
inference(resolve,[$cnf( $equal(op(e2,e2),e0) )],[refute_0_698,refute_0_701]) ).
cnf(refute_0_703,plain,
( op(e2,e2) != e0
| op(op(e2,e2),op(e2,e2)) != op(op(e2,e2),op(e2,e2))
| op(op(e2,e2),op(e2,e2)) = op(e0,op(e2,e2)) ),
introduced(tautology,[equality,[$cnf( $equal(op(op(e2,e2),op(e2,e2)),op(op(e2,e2),op(e2,e2))) ),[1,0],$fot(e0)]]) ).
cnf(refute_0_704,plain,
( op(e2,e2) != e0
| op(op(e2,e2),op(e2,e2)) = op(e0,op(e2,e2)) ),
inference(resolve,[$cnf( $equal(op(op(e2,e2),op(e2,e2)),op(op(e2,e2),op(e2,e2))) )],[refute_0_204,refute_0_703]) ).
cnf(refute_0_705,plain,
( e0 != op(e2,e2)
| op(op(e2,e2),op(e2,e2)) = op(e0,op(e2,e2)) ),
inference(resolve,[$cnf( $equal(op(e2,e2),e0) )],[refute_0_698,refute_0_704]) ).
cnf(refute_0_706,plain,
( op(e0,op(e2,e2)) != op(e0,e0)
| op(op(e2,e2),op(e2,e2)) != op(e0,op(e2,e2))
| op(op(e2,e2),op(e2,e2)) = op(e0,e0) ),
inference(subst,[],[refute_0_44:[bind(X,$fot(op(op(e2,e2),op(e2,e2)))),bind(Y,$fot(op(e0,op(e2,e2)))),bind(Z,$fot(op(e0,e0)))]]) ).
cnf(refute_0_707,plain,
( e0 != op(e2,e2)
| op(e0,op(e2,e2)) != op(e0,e0)
| op(op(e2,e2),op(e2,e2)) = op(e0,e0) ),
inference(resolve,[$cnf( $equal(op(op(e2,e2),op(e2,e2)),op(e0,op(e2,e2))) )],[refute_0_705,refute_0_706]) ).
cnf(refute_0_708,plain,
( e0 != op(e2,e2)
| op(op(e2,e2),op(e2,e2)) = op(e0,e0) ),
inference(resolve,[$cnf( $equal(op(e0,op(e2,e2)),op(e0,e0)) )],[refute_0_702,refute_0_707]) ).
cnf(refute_0_709,plain,
( e3 != op(e0,e0)
| op(op(e2,e2),op(e2,e2)) != op(e0,e0)
| e3 = op(op(e2,e2),op(e2,e2)) ),
introduced(tautology,[equality,[$cnf( ~ $equal(e3,op(op(e2,e2),op(e2,e2))) ),[1],$fot(op(e0,e0))]]) ).
cnf(refute_0_710,plain,
( e0 != op(e2,e2)
| e3 != op(e0,e0)
| e3 = op(op(e2,e2),op(e2,e2)) ),
inference(resolve,[$cnf( $equal(op(op(e2,e2),op(e2,e2)),op(e0,e0)) )],[refute_0_708,refute_0_709]) ).
cnf(refute_0_711,plain,
( e0 != op(e2,e2)
| e1 != op(op(e2,e2),e2)
| e3 != op(e0,e0) ),
inference(resolve,[$cnf( $equal(e3,op(op(e2,e2),op(e2,e2))) )],[refute_0_710,refute_0_696]) ).
cnf(refute_0_712,plain,
( op(e2,e2) != e0
| op(op(e2,e2),e2) != op(op(e2,e2),e2)
| op(op(e2,e2),e2) = op(e0,e2) ),
introduced(tautology,[equality,[$cnf( $equal(op(op(e2,e2),e2),op(op(e2,e2),e2)) ),[1,0],$fot(e0)]]) ).
cnf(refute_0_713,plain,
( op(e2,e2) != e0
| op(op(e2,e2),e2) = op(e0,e2) ),
inference(resolve,[$cnf( $equal(op(op(e2,e2),e2),op(op(e2,e2),e2)) )],[refute_0_214,refute_0_712]) ).
cnf(refute_0_714,plain,
( e0 != op(e2,e2)
| op(op(e2,e2),e2) = op(e0,e2) ),
inference(resolve,[$cnf( $equal(op(e2,e2),e0) )],[refute_0_698,refute_0_713]) ).
cnf(refute_0_715,plain,
( e1 != op(e0,e2)
| op(op(e2,e2),e2) != op(e0,e2)
| e1 = op(op(e2,e2),e2) ),
introduced(tautology,[equality,[$cnf( ~ $equal(e1,op(op(e2,e2),e2)) ),[1],$fot(op(e0,e2))]]) ).
cnf(refute_0_716,plain,
( e0 != op(e2,e2)
| e1 != op(e0,e2)
| e1 = op(op(e2,e2),e2) ),
inference(resolve,[$cnf( $equal(op(op(e2,e2),e2),op(e0,e2)) )],[refute_0_714,refute_0_715]) ).
cnf(refute_0_717,plain,
( e0 != op(e2,e2)
| e1 != op(e0,e2)
| e3 != op(e0,e0) ),
inference(resolve,[$cnf( $equal(e1,op(op(e2,e2),e2)) )],[refute_0_716,refute_0_711]) ).
cnf(refute_0_718,plain,
( op(e0,e0) != e3
| op(e1,e1) = e0
| op(e2,e2) = e0 ),
inference(canonicalize,[],[normalize_0_70]) ).
cnf(refute_0_719,plain,
( e3 != e3
| op(e0,e0) = e0
| op(e0,e0) = e1
| op(e0,e0) = e2
| op(e0,e0) = e3 ),
inference(resolve,[$cnf( $equal(op(e0,e0),e3) )],[refute_0_59,refute_0_535]) ).
cnf(refute_0_720,plain,
( e3 != e3
| op(e0,e0) = e0
| op(e0,e0) = e1
| op(e0,e0) = e2
| op(e1,e1) = e0
| op(e2,e2) = e0 ),
inference(resolve,[$cnf( $equal(op(e0,e0),e3) )],[refute_0_719,refute_0_718]) ).
cnf(refute_0_721,plain,
( op(e0,e0) = e0
| op(e0,e0) = e1
| op(e0,e0) = e2
| op(e1,e1) = e0
| op(e2,e2) = e0 ),
inference(resolve,[$cnf( $equal(e3,e3) )],[refute_0_128,refute_0_720]) ).
cnf(refute_0_722,plain,
( e0 != e0
| op(e2,e2) != e0
| e0 = op(e2,e2) ),
introduced(tautology,[equality,[$cnf( ~ $equal(e0,op(e2,e2)) ),[1],$fot(e0)]]) ).
cnf(refute_0_723,plain,
( e0 != e0
| e0 = op(e2,e2)
| op(e0,e0) = e0
| op(e0,e0) = e1
| op(e0,e0) = e2
| op(e1,e1) = e0 ),
inference(resolve,[$cnf( $equal(op(e2,e2),e0) )],[refute_0_721,refute_0_722]) ).
cnf(refute_0_724,plain,
( e0 != e0
| e1 != op(e0,e2)
| e3 != op(e0,e0)
| op(e0,e0) = e0
| op(e0,e0) = e1
| op(e0,e0) = e2
| op(e1,e1) = e0 ),
inference(resolve,[$cnf( $equal(e0,op(e2,e2)) )],[refute_0_723,refute_0_717]) ).
cnf(refute_0_725,plain,
( e1 != op(e0,e2)
| e3 != op(e0,e0)
| op(e0,e0) = e0
| op(e0,e0) = e1
| op(e0,e0) = e2
| op(e1,e1) = e0 ),
inference(resolve,[$cnf( $equal(e0,e0) )],[refute_0_10,refute_0_724]) ).
cnf(refute_0_726,plain,
( op(e0,e0) != e0
| op(e0,e0) != e3
| e3 = e0 ),
introduced(tautology,[equality,[$cnf( $equal(op(e0,e0),e0) ),[0],$fot(e3)]]) ).
cnf(refute_0_727,plain,
( e3 != op(e0,e0)
| op(e0,e0) != e0
| e3 = e0 ),
inference(resolve,[$cnf( $equal(op(e0,e0),e3) )],[refute_0_349,refute_0_726]) ).
cnf(refute_0_728,plain,
( e1 != op(e0,e2)
| e3 != op(e0,e0)
| e3 = e0
| op(e0,e0) = e1
| op(e0,e0) = e2
| op(e1,e1) = e0 ),
inference(resolve,[$cnf( $equal(op(e0,e0),e0) )],[refute_0_725,refute_0_727]) ).
cnf(refute_0_729,plain,
( e1 != op(e0,e2)
| e3 != op(e0,e0)
| e3 = e0
| e3 = e1
| op(e0,e0) = e2
| op(e1,e1) = e0 ),
inference(resolve,[$cnf( $equal(op(e0,e0),e1) )],[refute_0_728,refute_0_394]) ).
cnf(refute_0_730,plain,
( e1 != op(e0,e2)
| e3 != op(e0,e0)
| e3 = e0
| e3 = e1
| e3 = e2
| op(e1,e1) = e0 ),
inference(resolve,[$cnf( $equal(op(e0,e0),e2) )],[refute_0_729,refute_0_385]) ).
cnf(refute_0_731,plain,
( e1 != op(e0,e2)
| e3 != op(e0,e0)
| e3 = e1
| e3 = e2
| op(e1,e1) = e0 ),
inference(resolve,[$cnf( $equal(e3,e0) )],[refute_0_730,refute_0_243]) ).
cnf(refute_0_732,plain,
( e1 != op(e0,e2)
| e3 != op(e0,e0)
| e3 = e2
| op(e1,e1) = e0 ),
inference(resolve,[$cnf( $equal(e3,e1) )],[refute_0_731,refute_0_246]) ).
cnf(refute_0_733,plain,
( e1 != op(e0,e2)
| e3 != op(e0,e0)
| op(e1,e1) = e0 ),
inference(resolve,[$cnf( $equal(e3,e2) )],[refute_0_732,refute_0_249]) ).
cnf(refute_0_734,plain,
( e1 != e1
| op(e0,e2) != e1
| e1 = op(e0,e2) ),
introduced(tautology,[equality,[$cnf( ~ $equal(e1,op(e0,e2)) ),[1],$fot(e1)]]) ).
cnf(refute_0_735,plain,
( e1 != e1
| e1 = op(e0,e2)
| op(e0,e0) = e1
| op(e0,e0) = e2
| op(e0,e2) = e2 ),
inference(resolve,[$cnf( $equal(op(e0,e2),e1) )],[refute_0_690,refute_0_734]) ).
cnf(refute_0_736,plain,
( e1 != e1
| e3 != op(e0,e0)
| op(e0,e0) = e1
| op(e0,e0) = e2
| op(e0,e2) = e2
| op(e1,e1) = e0 ),
inference(resolve,[$cnf( $equal(e1,op(e0,e2)) )],[refute_0_735,refute_0_733]) ).
cnf(refute_0_737,plain,
( e3 != op(e0,e0)
| op(e0,e0) = e1
| op(e0,e0) = e2
| op(e0,e2) = e2
| op(e1,e1) = e0 ),
inference(resolve,[$cnf( $equal(e1,e1) )],[refute_0_22,refute_0_736]) ).
cnf(refute_0_738,plain,
( e3 != op(e0,e0)
| e3 = e1
| op(e0,e0) = e2
| op(e0,e2) = e2
| op(e1,e1) = e0 ),
inference(resolve,[$cnf( $equal(op(e0,e0),e1) )],[refute_0_737,refute_0_394]) ).
cnf(refute_0_739,plain,
( e3 != op(e0,e0)
| e3 = e1
| e3 = e2
| op(e0,e2) = e2
| op(e1,e1) = e0 ),
inference(resolve,[$cnf( $equal(op(e0,e0),e2) )],[refute_0_738,refute_0_385]) ).
cnf(refute_0_740,plain,
( e3 != op(e0,e0)
| e3 = e2
| op(e0,e2) = e2
| op(e1,e1) = e0 ),
inference(resolve,[$cnf( $equal(e3,e1) )],[refute_0_739,refute_0_246]) ).
cnf(refute_0_741,plain,
( e3 != op(e0,e0)
| op(e0,e2) = e2
| op(e1,e1) = e0 ),
inference(resolve,[$cnf( $equal(e3,e2) )],[refute_0_740,refute_0_249]) ).
cnf(refute_0_742,plain,
( e3 != e3
| op(e0,e0) = e1
| op(e0,e0) = e2
| op(e0,e2) = e2
| op(e1,e1) = e0 ),
inference(resolve,[$cnf( $equal(e3,op(e0,e0)) )],[refute_0_514,refute_0_741]) ).
cnf(refute_0_743,plain,
( op(e0,e0) = e1
| op(e0,e0) = e2
| op(e0,e2) = e2
| op(e1,e1) = e0 ),
inference(resolve,[$cnf( $equal(e3,e3) )],[refute_0_128,refute_0_742]) ).
cnf(refute_0_744,plain,
( op(e1,e1) != e0
| op(e1,e1) != e2
| e0 = e2 ),
introduced(tautology,[equality,[$cnf( $equal(op(e1,e1),e2) ),[0],$fot(e0)]]) ).
cnf(refute_0_745,plain,
( op(e1,e1) != e2
| e0 = e2
| op(e0,e0) = e1
| op(e0,e0) = e2
| op(e0,e2) = e2 ),
inference(resolve,[$cnf( $equal(op(e1,e1),e0) )],[refute_0_743,refute_0_744]) ).
cnf(refute_0_746,plain,
( e0 = e2
| op(e0,e0) = e1
| op(e0,e0) = e2
| op(e0,e2) = e2 ),
inference(resolve,[$cnf( $equal(op(e1,e1),e2) )],[refute_0_695,refute_0_745]) ).
cnf(refute_0_747,plain,
( op(e0,e0) = e1
| op(e0,e0) = e2
| op(e0,e2) = e2 ),
inference(resolve,[$cnf( $equal(e0,e2) )],[refute_0_746,refute_0_80]) ).
cnf(refute_0_748,plain,
( e2 != e2
| op(e0,e2) != e2
| op(e0,e2) = e2 ),
introduced(tautology,[equality,[$cnf( $equal(op(e0,e2),e2) ),[0,1],$fot(e2)]]) ).
cnf(refute_0_749,plain,
( e2 != e2
| op(e0,e0) = e1
| op(e0,e0) = e2
| op(e0,e2) = e2 ),
inference(resolve,[$cnf( $equal(op(e0,e2),e2) )],[refute_0_747,refute_0_748]) ).
cnf(refute_0_750,plain,
( e2 != e2
| op(e0,e0) = e1
| op(e0,e0) = e2
| op(e1,e0) = e2
| op(e1,e1) = e2 ),
inference(resolve,[$cnf( $equal(op(e0,e2),e2) )],[refute_0_749,refute_0_559]) ).
cnf(refute_0_751,plain,
( op(e0,e0) = e1
| op(e0,e0) = e2
| op(e1,e0) = e2
| op(e1,e1) = e2 ),
inference(resolve,[$cnf( $equal(e2,e2) )],[refute_0_63,refute_0_750]) ).
cnf(refute_0_752,plain,
op(e1,e2) != op(e2,e2),
inference(canonicalize,[],[normalize_0_71]) ).
cnf(refute_0_753,plain,
( op(e1,e2) != e0
| op(e2,e2) != e0
| op(e1,e2) = op(e2,e2) ),
introduced(tautology,[equality,[$cnf( ~ $equal(op(e1,e2),op(e2,e2)) ),[1],$fot(e0)]]) ).
cnf(refute_0_754,plain,
( op(e1,e2) != e0
| op(e0,e0) = e0
| op(e0,e0) = e1
| op(e0,e0) = e2
| op(e1,e1) = e0
| op(e1,e2) = op(e2,e2) ),
inference(resolve,[$cnf( $equal(op(e2,e2),e0) )],[refute_0_721,refute_0_753]) ).
cnf(refute_0_755,plain,
( op(e1,e2) != e0
| op(e0,e0) = e0
| op(e0,e0) = e1
| op(e0,e0) = e2
| op(e1,e1) = e0 ),
inference(resolve,[$cnf( $equal(op(e1,e2),op(e2,e2)) )],[refute_0_754,refute_0_752]) ).
cnf(refute_0_756,plain,
( op(e1,e2) != e0
| op(e0,e0) = e1
| op(e0,e0) = e2
| op(e1,e1) = e0 ),
inference(resolve,[$cnf( $equal(op(e0,e0),e0) )],[refute_0_755,refute_0_192]) ).
cnf(refute_0_757,plain,
( op(e1,e0) = e0
| op(e1,e1) = e0
| op(e1,e2) = e0
| op(e1,e3) = e0 ),
inference(canonicalize,[],[normalize_0_72]) ).
cnf(refute_0_758,plain,
( e0 != e0
| e0 = op(e1,e3)
| op(e1,e0) = e0
| op(e1,e1) = e0
| op(e1,e2) = e0 ),
inference(resolve,[$cnf( $equal(op(e1,e3),e0) )],[refute_0_757,refute_0_612]) ).
cnf(refute_0_759,plain,
( e0 != e0
| e2 != op(e1,e1)
| op(e0,e0) = e1
| op(e1,e0) = e0
| op(e1,e1) = e0
| op(e1,e2) = e0 ),
inference(resolve,[$cnf( $equal(e0,op(e1,e3)) )],[refute_0_758,refute_0_597]) ).
cnf(refute_0_760,plain,
( e2 != op(e1,e1)
| op(e0,e0) = e1
| op(e1,e0) = e0
| op(e1,e1) = e0
| op(e1,e2) = e0 ),
inference(resolve,[$cnf( $equal(e0,e0) )],[refute_0_10,refute_0_759]) ).
cnf(refute_0_761,plain,
( e2 != op(e1,e1)
| e2 = e0
| op(e0,e0) = e1
| op(e1,e0) = e0
| op(e1,e2) = e0 ),
inference(resolve,[$cnf( $equal(op(e1,e1),e0) )],[refute_0_760,refute_0_144]) ).
cnf(refute_0_762,plain,
( e2 != op(e1,e1)
| op(e0,e0) = e1
| op(e1,e0) = e0
| op(e1,e2) = e0 ),
inference(resolve,[$cnf( $equal(e2,e0) )],[refute_0_761,refute_0_82]) ).
cnf(refute_0_763,plain,
( e2 != e2
| op(e0,e0) = e1
| op(e0,e0) = e2
| op(e1,e0) = e0
| op(e1,e1) = e0
| op(e1,e2) = e0 ),
inference(resolve,[$cnf( $equal(e2,op(e1,e1)) )],[refute_0_620,refute_0_762]) ).
cnf(refute_0_764,plain,
( op(e0,e0) = e1
| op(e0,e0) = e2
| op(e1,e0) = e0
| op(e1,e1) = e0
| op(e1,e2) = e0 ),
inference(resolve,[$cnf( $equal(e2,e2) )],[refute_0_63,refute_0_763]) ).
cnf(refute_0_765,plain,
( e0 != e0
| op(e1,e2) != e0
| op(e1,e2) = e0 ),
introduced(tautology,[equality,[$cnf( $equal(op(e1,e2),e0) ),[1],$fot(e0)]]) ).
cnf(refute_0_766,plain,
( e0 != e0
| op(e0,e0) = e1
| op(e0,e0) = e2
| op(e1,e0) = e0
| op(e1,e1) = e0
| op(e1,e2) = e0 ),
inference(resolve,[$cnf( $equal(op(e1,e2),e0) )],[refute_0_764,refute_0_765]) ).
cnf(refute_0_767,plain,
( e0 != e0
| op(e0,e0) = e1
| op(e0,e0) = e2
| op(e1,e0) = e0
| op(e1,e1) = e0 ),
inference(resolve,[$cnf( $equal(op(e1,e2),e0) )],[refute_0_766,refute_0_756]) ).
cnf(refute_0_768,plain,
( op(e0,e0) = e1
| op(e0,e0) = e2
| op(e1,e0) = e0
| op(e1,e1) = e0 ),
inference(resolve,[$cnf( $equal(e0,e0) )],[refute_0_10,refute_0_767]) ).
cnf(refute_0_769,plain,
( op(e1,e1) != e2
| e0 = e2
| op(e0,e0) = e1
| op(e0,e0) = e2
| op(e1,e0) = e0 ),
inference(resolve,[$cnf( $equal(op(e1,e1),e0) )],[refute_0_768,refute_0_744]) ).
cnf(refute_0_770,plain,
( e0 = e2
| op(e0,e0) = e1
| op(e0,e0) = e2
| op(e1,e0) = e0
| op(e1,e0) = e2 ),
inference(resolve,[$cnf( $equal(op(e1,e1),e2) )],[refute_0_751,refute_0_769]) ).
cnf(refute_0_771,plain,
( op(e0,e0) = e1
| op(e0,e0) = e2
| op(e1,e0) = e0
| op(e1,e0) = e2 ),
inference(resolve,[$cnf( $equal(e0,e2) )],[refute_0_770,refute_0_80]) ).
cnf(refute_0_772,plain,
( op(e1,e0) != e1
| e0 = e1
| op(e0,e0) = e1
| op(e0,e0) = e2
| op(e1,e0) = e2 ),
inference(resolve,[$cnf( $equal(op(e1,e0),e0) )],[refute_0_771,refute_0_520]) ).
cnf(refute_0_773,plain,
( e0 = e1
| op(e0,e0) = e1
| op(e0,e0) = e2
| op(e1,e0) = e2 ),
inference(resolve,[$cnf( $equal(op(e1,e0),e1) )],[refute_0_546,refute_0_772]) ).
cnf(refute_0_774,plain,
( op(e0,e0) = e1
| op(e0,e0) = e2
| op(e1,e0) = e2 ),
inference(resolve,[$cnf( $equal(e0,e1) )],[refute_0_773,refute_0_170]) ).
cnf(refute_0_775,plain,
( op(e1,e0) != e1
| e2 = e1
| op(e0,e0) = e1
| op(e0,e0) = e2 ),
inference(resolve,[$cnf( $equal(op(e1,e0),e2) )],[refute_0_774,refute_0_527]) ).
cnf(refute_0_776,plain,
( e2 = e1
| op(e0,e0) = e1
| op(e0,e0) = e2 ),
inference(resolve,[$cnf( $equal(op(e1,e0),e1) )],[refute_0_546,refute_0_775]) ).
cnf(refute_0_777,plain,
( op(e0,e0) = e1
| op(e0,e0) = e2 ),
inference(resolve,[$cnf( $equal(e2,e1) )],[refute_0_776,refute_0_86]) ).
cnf(refute_0_778,plain,
( e0 != op(e2,e2)
| e1 != op(op(e2,e2),op(e2,e2))
| e3 != op(op(e2,e2),e2) ),
inference(canonicalize,[],[normalize_0_73]) ).
cnf(refute_0_779,plain,
( e3 != op(e0,e2)
| op(op(e2,e2),e2) != op(e0,e2)
| e3 = op(op(e2,e2),e2) ),
introduced(tautology,[equality,[$cnf( ~ $equal(e3,op(op(e2,e2),e2)) ),[1],$fot(op(e0,e2))]]) ).
cnf(refute_0_780,plain,
( e0 != op(e2,e2)
| e3 != op(e0,e2)
| e3 = op(op(e2,e2),e2) ),
inference(resolve,[$cnf( $equal(op(op(e2,e2),e2),op(e0,e2)) )],[refute_0_714,refute_0_779]) ).
cnf(refute_0_781,plain,
( e0 != op(e2,e2)
| e1 != op(op(e2,e2),op(e2,e2))
| e3 != op(e0,e2) ),
inference(resolve,[$cnf( $equal(e3,op(op(e2,e2),e2)) )],[refute_0_780,refute_0_778]) ).
cnf(refute_0_782,plain,
( e1 != op(e0,e0)
| op(op(e2,e2),op(e2,e2)) != op(e0,e0)
| e1 = op(op(e2,e2),op(e2,e2)) ),
introduced(tautology,[equality,[$cnf( ~ $equal(e1,op(op(e2,e2),op(e2,e2))) ),[1],$fot(op(e0,e0))]]) ).
cnf(refute_0_783,plain,
( e0 != op(e2,e2)
| e1 != op(e0,e0)
| e1 = op(op(e2,e2),op(e2,e2)) ),
inference(resolve,[$cnf( $equal(op(op(e2,e2),op(e2,e2)),op(e0,e0)) )],[refute_0_708,refute_0_782]) ).
cnf(refute_0_784,plain,
( e0 != op(e2,e2)
| e1 != op(e0,e0)
| e3 != op(e0,e2) ),
inference(resolve,[$cnf( $equal(e1,op(op(e2,e2),op(e2,e2))) )],[refute_0_783,refute_0_781]) ).
cnf(refute_0_785,plain,
( e0 != op(e3,e3)
| op(e3,e2) != e0
| op(e3,e2) = op(e3,e3) ),
introduced(tautology,[equality,[$cnf( $equal(op(e3,e2),e0) ),[1],$fot(op(e3,e3))]]) ).
cnf(refute_0_786,plain,
( e0 != op(e3,e3)
| op(e0,e2) = e0
| op(e1,e2) = e0
| op(e2,e2) = e0
| op(e3,e2) = op(e3,e3) ),
inference(resolve,[$cnf( $equal(op(e3,e2),e0) )],[refute_0_255,refute_0_785]) ).
cnf(refute_0_787,plain,
( e0 != op(e3,e3)
| op(e0,e2) = e0
| op(e1,e2) = e0
| op(e2,e2) = e0 ),
inference(resolve,[$cnf( $equal(op(e3,e2),op(e3,e3)) )],[refute_0_786,refute_0_251]) ).
cnf(refute_0_788,plain,
( op(e0,e0) != e1
| op(e2,e2) = e0
| op(e3,e3) = e0 ),
inference(canonicalize,[],[normalize_0_74]) ).
cnf(refute_0_789,plain,
( e1 != e1
| op(e0,e0) != e1
| op(e0,e0) = e1 ),
introduced(tautology,[equality,[$cnf( $equal(op(e0,e0),e1) ),[1],$fot(e1)]]) ).
cnf(refute_0_790,plain,
( e1 != e1
| op(e0,e0) = e0
| op(e0,e0) = e1
| op(e0,e0) = e2
| op(e0,e0) = e3 ),
inference(resolve,[$cnf( $equal(op(e0,e0),e1) )],[refute_0_59,refute_0_789]) ).
cnf(refute_0_791,plain,
( e1 != e1
| op(e0,e0) = e0
| op(e0,e0) = e2
| op(e0,e0) = e3
| op(e2,e2) = e0
| op(e3,e3) = e0 ),
inference(resolve,[$cnf( $equal(op(e0,e0),e1) )],[refute_0_790,refute_0_788]) ).
cnf(refute_0_792,plain,
( op(e0,e0) = e0
| op(e0,e0) = e2
| op(e0,e0) = e3
| op(e2,e2) = e0
| op(e3,e3) = e0 ),
inference(resolve,[$cnf( $equal(e1,e1) )],[refute_0_22,refute_0_791]) ).
cnf(refute_0_793,plain,
( e0 != e0
| e0 = op(e3,e3)
| op(e0,e0) = e0
| op(e0,e0) = e2
| op(e0,e0) = e3
| op(e2,e2) = e0 ),
inference(resolve,[$cnf( $equal(op(e3,e3),e0) )],[refute_0_792,refute_0_65]) ).
cnf(refute_0_794,plain,
( e0 != e0
| op(e0,e0) = e0
| op(e0,e0) = e2
| op(e0,e0) = e3
| op(e0,e2) = e0
| op(e1,e2) = e0
| op(e2,e2) = e0 ),
inference(resolve,[$cnf( $equal(e0,op(e3,e3)) )],[refute_0_793,refute_0_787]) ).
cnf(refute_0_795,plain,
( op(e0,e0) = e0
| op(e0,e0) = e2
| op(e0,e0) = e3
| op(e0,e2) = e0
| op(e1,e2) = e0
| op(e2,e2) = e0 ),
inference(resolve,[$cnf( $equal(e0,e0) )],[refute_0_10,refute_0_794]) ).
cnf(refute_0_796,plain,
( op(e0,e0) = e2
| op(e0,e0) = e3
| op(e0,e2) = e0
| op(e1,e2) = e0
| op(e2,e2) = e0 ),
inference(resolve,[$cnf( $equal(op(e0,e0),e0) )],[refute_0_795,refute_0_192]) ).
cnf(refute_0_797,plain,
( e0 != e0
| e0 = op(e2,e2)
| op(e0,e0) = e2
| op(e0,e0) = e3
| op(e0,e2) = e0
| op(e1,e2) = e0 ),
inference(resolve,[$cnf( $equal(op(e2,e2),e0) )],[refute_0_796,refute_0_722]) ).
cnf(refute_0_798,plain,
( e0 != e0
| e1 != op(e0,e0)
| e3 != op(e0,e2)
| op(e0,e0) = e2
| op(e0,e0) = e3
| op(e0,e2) = e0
| op(e1,e2) = e0 ),
inference(resolve,[$cnf( $equal(e0,op(e2,e2)) )],[refute_0_797,refute_0_784]) ).
cnf(refute_0_799,plain,
( e1 != op(e0,e0)
| e3 != op(e0,e2)
| op(e0,e0) = e2
| op(e0,e0) = e3
| op(e0,e2) = e0
| op(e1,e2) = e0 ),
inference(resolve,[$cnf( $equal(e0,e0) )],[refute_0_10,refute_0_798]) ).
cnf(refute_0_800,plain,
( e1 != e1
| e1 != op(e0,e0)
| op(e0,e0) = e1 ),
introduced(tautology,[equality,[$cnf( $equal(e1,e1) ),[0],$fot(op(e0,e0))]]) ).
cnf(refute_0_801,plain,
( e1 != op(e0,e0)
| op(e0,e0) = e1 ),
inference(resolve,[$cnf( $equal(e1,e1) )],[refute_0_22,refute_0_800]) ).
cnf(refute_0_802,plain,
( op(e0,e0) != e1
| op(e0,e0) != e2
| e1 = e2 ),
introduced(tautology,[equality,[$cnf( $equal(op(e0,e0),e2) ),[0],$fot(e1)]]) ).
cnf(refute_0_803,plain,
( e1 != op(e0,e0)
| op(e0,e0) != e2
| e1 = e2 ),
inference(resolve,[$cnf( $equal(op(e0,e0),e1) )],[refute_0_801,refute_0_802]) ).
cnf(refute_0_804,plain,
( e1 != op(e0,e0)
| e3 != op(e0,e2)
| e1 = e2
| op(e0,e0) = e3
| op(e0,e2) = e0
| op(e1,e2) = e0 ),
inference(resolve,[$cnf( $equal(op(e0,e0),e2) )],[refute_0_799,refute_0_803]) ).
cnf(refute_0_805,plain,
( op(e0,e0) != e1
| op(e0,e0) != e3
| e1 = e3 ),
introduced(tautology,[equality,[$cnf( $equal(op(e0,e0),e3) ),[0],$fot(e1)]]) ).
cnf(refute_0_806,plain,
( e1 != op(e0,e0)
| op(e0,e0) != e3
| e1 = e3 ),
inference(resolve,[$cnf( $equal(op(e0,e0),e1) )],[refute_0_801,refute_0_805]) ).
cnf(refute_0_807,plain,
( e1 != op(e0,e0)
| e3 != op(e0,e2)
| e1 = e2
| e1 = e3
| op(e0,e2) = e0
| op(e1,e2) = e0 ),
inference(resolve,[$cnf( $equal(op(e0,e0),e3) )],[refute_0_804,refute_0_806]) ).
cnf(refute_0_808,plain,
( e3 != e3
| e3 != op(e0,e2)
| op(e0,e2) = e3 ),
introduced(tautology,[equality,[$cnf( $equal(e3,e3) ),[0],$fot(op(e0,e2))]]) ).
cnf(refute_0_809,plain,
( e3 != op(e0,e2)
| op(e0,e2) = e3 ),
inference(resolve,[$cnf( $equal(e3,e3) )],[refute_0_128,refute_0_808]) ).
cnf(refute_0_810,plain,
( op(e0,e2) != e0
| op(e0,e2) != e3
| e3 = e0 ),
introduced(tautology,[equality,[$cnf( $equal(op(e0,e2),e0) ),[0],$fot(e3)]]) ).
cnf(refute_0_811,plain,
( e3 != op(e0,e2)
| op(e0,e2) != e0
| e3 = e0 ),
inference(resolve,[$cnf( $equal(op(e0,e2),e3) )],[refute_0_809,refute_0_810]) ).
cnf(refute_0_812,plain,
( e1 != op(e0,e0)
| e3 != op(e0,e2)
| e1 = e2
| e1 = e3
| e3 = e0
| op(e1,e2) = e0 ),
inference(resolve,[$cnf( $equal(op(e0,e2),e0) )],[refute_0_807,refute_0_811]) ).
cnf(refute_0_813,plain,
( e1 != op(e0,e0)
| e3 != op(e0,e2)
| e1 = e3
| e3 = e0
| op(e1,e2) = e0 ),
inference(resolve,[$cnf( $equal(e1,e2) )],[refute_0_812,refute_0_84]) ).
cnf(refute_0_814,plain,
( e1 != op(e0,e0)
| e3 != op(e0,e2)
| e3 = e0
| op(e1,e2) = e0 ),
inference(resolve,[$cnf( $equal(e1,e3) )],[refute_0_813,refute_0_27]) ).
cnf(refute_0_815,plain,
( e1 != op(e0,e0)
| e3 != op(e0,e2)
| op(e1,e2) = e0 ),
inference(resolve,[$cnf( $equal(e3,e0) )],[refute_0_814,refute_0_243]) ).
cnf(refute_0_816,plain,
op(e0,e1) != op(e0,e2),
inference(canonicalize,[],[normalize_0_75]) ).
cnf(refute_0_817,plain,
op(e1,e1) != op(e2,e1),
inference(canonicalize,[],[normalize_0_76]) ).
cnf(refute_0_818,plain,
( op(e1,e1) != e0
| op(e2,e1) != e0
| op(e1,e1) = op(e2,e1) ),
introduced(tautology,[equality,[$cnf( ~ $equal(op(e1,e1),op(e2,e1)) ),[1],$fot(e0)]]) ).
cnf(refute_0_819,plain,
( op(e1,e1) != e0
| op(e0,e0) = e2
| op(e0,e0) = e3
| op(e0,e1) = e0
| op(e1,e1) = e2
| op(e1,e1) = op(e2,e1) ),
inference(resolve,[$cnf( $equal(op(e2,e1),e0) )],[refute_0_492,refute_0_818]) ).
cnf(refute_0_820,plain,
( op(e1,e1) != e0
| op(e0,e0) = e2
| op(e0,e0) = e3
| op(e0,e1) = e0
| op(e1,e1) = e2 ),
inference(resolve,[$cnf( $equal(op(e1,e1),op(e2,e1)) )],[refute_0_819,refute_0_817]) ).
cnf(refute_0_821,plain,
( op(e1,e1) != e0
| e0 = e2
| op(e0,e0) = e2
| op(e0,e0) = e3
| op(e0,e1) = e0 ),
inference(resolve,[$cnf( $equal(op(e1,e1),e2) )],[refute_0_820,refute_0_744]) ).
cnf(refute_0_822,plain,
( op(e1,e1) != e0
| op(e0,e0) = e2
| op(e0,e0) = e3
| op(e0,e1) = e0 ),
inference(resolve,[$cnf( $equal(e0,e2) )],[refute_0_821,refute_0_80]) ).
cnf(refute_0_823,plain,
op(e2,e1) != op(e2,e2),
inference(canonicalize,[],[normalize_0_77]) ).
cnf(refute_0_824,plain,
( op(e2,e1) != e0
| op(e2,e2) != e0
| op(e2,e1) = op(e2,e2) ),
introduced(tautology,[equality,[$cnf( ~ $equal(op(e2,e1),op(e2,e2)) ),[1],$fot(e0)]]) ).
cnf(refute_0_825,plain,
( op(e2,e1) != e0
| op(e0,e0) = e2
| op(e1,e1) = e0
| op(e1,e1) = e2
| op(e2,e1) = op(e2,e2) ),
inference(resolve,[$cnf( $equal(op(e2,e2),e0) )],[refute_0_162,refute_0_824]) ).
cnf(refute_0_826,plain,
( op(e2,e1) != e0
| op(e0,e0) = e2
| op(e1,e1) = e0
| op(e1,e1) = e2 ),
inference(resolve,[$cnf( $equal(op(e2,e1),op(e2,e2)) )],[refute_0_825,refute_0_823]) ).
cnf(refute_0_827,plain,
( e3 != e3
| e3 = op(e1,e1)
| op(e0,e0) = e2
| op(e0,e0) = e3
| op(e0,e1) = e0 ),
inference(resolve,[$cnf( $equal(op(e1,e1),e3) )],[refute_0_157,refute_0_338]) ).
cnf(refute_0_828,plain,
( e3 != e3
| op(e0,e0) = e2
| op(e0,e0) = e3
| op(e0,e1) = e0
| op(e2,e1) = e0 ),
inference(resolve,[$cnf( $equal(e3,op(e1,e1)) )],[refute_0_827,refute_0_489]) ).
cnf(refute_0_829,plain,
( op(e0,e0) = e2
| op(e0,e0) = e3
| op(e0,e1) = e0
| op(e2,e1) = e0 ),
inference(resolve,[$cnf( $equal(e3,e3) )],[refute_0_128,refute_0_828]) ).
cnf(refute_0_830,plain,
( e0 != e0
| op(e2,e1) != e0
| op(e2,e1) = e0 ),
introduced(tautology,[equality,[$cnf( $equal(op(e2,e1),e0) ),[1],$fot(e0)]]) ).
cnf(refute_0_831,plain,
( e0 != e0
| op(e0,e0) = e2
| op(e0,e0) = e3
| op(e0,e1) = e0
| op(e2,e1) = e0 ),
inference(resolve,[$cnf( $equal(op(e2,e1),e0) )],[refute_0_829,refute_0_830]) ).
cnf(refute_0_832,plain,
( e0 != e0
| op(e0,e0) = e2
| op(e0,e0) = e3
| op(e0,e1) = e0
| op(e1,e1) = e0
| op(e1,e1) = e2 ),
inference(resolve,[$cnf( $equal(op(e2,e1),e0) )],[refute_0_831,refute_0_826]) ).
cnf(refute_0_833,plain,
( e0 != e0
| op(e0,e0) = e2
| op(e0,e0) = e3
| op(e0,e1) = e0
| op(e1,e1) = e2 ),
inference(resolve,[$cnf( $equal(op(e1,e1),e0) )],[refute_0_832,refute_0_822]) ).
cnf(refute_0_834,plain,
( op(e0,e0) = e2
| op(e0,e0) = e3
| op(e0,e1) = e0
| op(e1,e1) = e2 ),
inference(resolve,[$cnf( $equal(e0,e0) )],[refute_0_10,refute_0_833]) ).
cnf(refute_0_835,plain,
( op(e1,e1) != e3
| e2 = e3
| op(e0,e0) = e2
| op(e0,e0) = e3
| op(e0,e1) = e0 ),
inference(resolve,[$cnf( $equal(op(e1,e1),e2) )],[refute_0_834,refute_0_130]) ).
cnf(refute_0_836,plain,
( e2 = e3
| op(e0,e0) = e2
| op(e0,e0) = e3
| op(e0,e1) = e0 ),
inference(resolve,[$cnf( $equal(op(e1,e1),e3) )],[refute_0_157,refute_0_835]) ).
cnf(refute_0_837,plain,
( op(e0,e0) = e2
| op(e0,e0) = e3
| op(e0,e1) = e0 ),
inference(resolve,[$cnf( $equal(e2,e3) )],[refute_0_836,refute_0_88]) ).
cnf(refute_0_838,plain,
( e0 != op(e0,e2)
| op(e0,e1) != e0
| op(e0,e1) = op(e0,e2) ),
introduced(tautology,[equality,[$cnf( $equal(op(e0,e1),e0) ),[1],$fot(op(e0,e2))]]) ).
cnf(refute_0_839,plain,
( e0 != op(e0,e2)
| op(e0,e0) = e2
| op(e0,e0) = e3
| op(e0,e1) = op(e0,e2) ),
inference(resolve,[$cnf( $equal(op(e0,e1),e0) )],[refute_0_837,refute_0_838]) ).
cnf(refute_0_840,plain,
( e0 != op(e0,e2)
| op(e0,e0) = e2
| op(e0,e0) = e3 ),
inference(resolve,[$cnf( $equal(op(e0,e1),op(e0,e2)) )],[refute_0_839,refute_0_816]) ).
cnf(refute_0_841,plain,
( e1 != op(e0,e2)
| op(e0,e0) != e1
| op(e0,e0) = op(e0,e2) ),
introduced(tautology,[equality,[$cnf( $equal(op(e0,e0),e1) ),[1],$fot(op(e0,e2))]]) ).
cnf(refute_0_842,plain,
( e1 != op(e0,e2)
| op(e0,e0) = e0
| op(e0,e0) = e2
| op(e0,e0) = e3
| op(e0,e0) = op(e0,e2) ),
inference(resolve,[$cnf( $equal(op(e0,e0),e1) )],[refute_0_59,refute_0_841]) ).
cnf(refute_0_843,plain,
( e1 != op(e0,e2)
| op(e0,e0) = e0
| op(e0,e0) = e2
| op(e0,e0) = e3 ),
inference(resolve,[$cnf( $equal(op(e0,e0),op(e0,e2)) )],[refute_0_842,refute_0_677]) ).
cnf(refute_0_844,plain,
( e1 != op(e0,e2)
| op(e0,e0) = e2
| op(e0,e0) = e3 ),
inference(resolve,[$cnf( $equal(op(e0,e0),e0) )],[refute_0_843,refute_0_192]) ).
cnf(refute_0_845,plain,
( e1 != e1
| e1 = op(e0,e2)
| op(e0,e2) = e0
| op(e0,e2) = e2
| op(e0,e2) = e3 ),
inference(resolve,[$cnf( $equal(op(e0,e2),e1) )],[refute_0_682,refute_0_734]) ).
cnf(refute_0_846,plain,
( e1 != e1
| op(e0,e0) = e2
| op(e0,e0) = e3
| op(e0,e2) = e0
| op(e0,e2) = e2
| op(e0,e2) = e3 ),
inference(resolve,[$cnf( $equal(e1,op(e0,e2)) )],[refute_0_845,refute_0_844]) ).
cnf(refute_0_847,plain,
( op(e0,e0) = e2
| op(e0,e0) = e3
| op(e0,e2) = e0
| op(e0,e2) = e2
| op(e0,e2) = e3 ),
inference(resolve,[$cnf( $equal(e1,e1) )],[refute_0_22,refute_0_846]) ).
cnf(refute_0_848,plain,
( e0 != e0
| op(e0,e2) != e0
| e0 = op(e0,e2) ),
introduced(tautology,[equality,[$cnf( ~ $equal(e0,op(e0,e2)) ),[1],$fot(e0)]]) ).
cnf(refute_0_849,plain,
( e0 != e0
| e0 = op(e0,e2)
| op(e0,e0) = e2
| op(e0,e0) = e3
| op(e0,e2) = e2
| op(e0,e2) = e3 ),
inference(resolve,[$cnf( $equal(op(e0,e2),e0) )],[refute_0_847,refute_0_848]) ).
cnf(refute_0_850,plain,
( e0 != e0
| op(e0,e0) = e2
| op(e0,e0) = e3
| op(e0,e2) = e2
| op(e0,e2) = e3 ),
inference(resolve,[$cnf( $equal(e0,op(e0,e2)) )],[refute_0_849,refute_0_840]) ).
cnf(refute_0_851,plain,
( op(e0,e0) = e2
| op(e0,e0) = e3
| op(e0,e2) = e2
| op(e0,e2) = e3 ),
inference(resolve,[$cnf( $equal(e0,e0) )],[refute_0_10,refute_0_850]) ).
cnf(refute_0_852,plain,
( e3 != e3
| e3 = op(e0,e2)
| op(e0,e0) = e2
| op(e0,e0) = e3
| op(e0,e2) = e2 ),
inference(resolve,[$cnf( $equal(op(e0,e2),e3) )],[refute_0_851,refute_0_683]) ).
cnf(refute_0_853,plain,
( e1 != op(e0,e0)
| e3 != e3
| op(e0,e0) = e2
| op(e0,e0) = e3
| op(e0,e2) = e2
| op(e1,e2) = e0 ),
inference(resolve,[$cnf( $equal(e3,op(e0,e2)) )],[refute_0_852,refute_0_815]) ).
cnf(refute_0_854,plain,
( e1 != op(e0,e0)
| op(e0,e0) = e2
| op(e0,e0) = e3
| op(e0,e2) = e2
| op(e1,e2) = e0 ),
inference(resolve,[$cnf( $equal(e3,e3) )],[refute_0_128,refute_0_853]) ).
cnf(refute_0_855,plain,
( e1 != op(e0,e0)
| e1 = e2
| op(e0,e0) = e3
| op(e0,e2) = e2
| op(e1,e2) = e0 ),
inference(resolve,[$cnf( $equal(op(e0,e0),e2) )],[refute_0_854,refute_0_803]) ).
cnf(refute_0_856,plain,
( e1 != op(e0,e0)
| e1 = e2
| e1 = e3
| op(e0,e2) = e2
| op(e1,e2) = e0 ),
inference(resolve,[$cnf( $equal(op(e0,e0),e3) )],[refute_0_855,refute_0_806]) ).
cnf(refute_0_857,plain,
( e1 != op(e0,e0)
| e1 = e3
| op(e0,e2) = e2
| op(e1,e2) = e0 ),
inference(resolve,[$cnf( $equal(e1,e2) )],[refute_0_856,refute_0_84]) ).
cnf(refute_0_858,plain,
( e1 != op(e0,e0)
| op(e0,e2) = e2
| op(e1,e2) = e0 ),
inference(resolve,[$cnf( $equal(e1,e3) )],[refute_0_857,refute_0_27]) ).
cnf(refute_0_859,plain,
( e1 != e1
| op(e0,e0) != e1
| e1 = op(e0,e0) ),
introduced(tautology,[equality,[$cnf( ~ $equal(e1,op(e0,e0)) ),[1],$fot(e1)]]) ).
cnf(refute_0_860,plain,
( e1 != e1
| e1 = op(e0,e0)
| op(e0,e0) = e2 ),
inference(resolve,[$cnf( $equal(op(e0,e0),e1) )],[refute_0_777,refute_0_859]) ).
cnf(refute_0_861,plain,
( e1 != e1
| op(e0,e0) = e2
| op(e0,e2) = e2
| op(e1,e2) = e0 ),
inference(resolve,[$cnf( $equal(e1,op(e0,e0)) )],[refute_0_860,refute_0_858]) ).
cnf(refute_0_862,plain,
( op(e0,e0) = e2
| op(e0,e2) = e2
| op(e1,e2) = e0 ),
inference(resolve,[$cnf( $equal(e1,e1) )],[refute_0_22,refute_0_861]) ).
cnf(refute_0_863,plain,
( op(e0,e2) != e0
| op(e1,e2) != e0
| op(e0,e2) = op(e1,e2) ),
introduced(tautology,[equality,[$cnf( ~ $equal(op(e0,e2),op(e1,e2)) ),[1],$fot(e0)]]) ).
cnf(refute_0_864,plain,
( op(e0,e2) != e0
| op(e0,e0) = e2
| op(e0,e2) = e2
| op(e0,e2) = op(e1,e2) ),
inference(resolve,[$cnf( $equal(op(e1,e2),e0) )],[refute_0_862,refute_0_863]) ).
cnf(refute_0_865,plain,
( op(e0,e2) != e0
| op(e0,e0) = e2
| op(e0,e2) = e2 ),
inference(resolve,[$cnf( $equal(op(e0,e2),op(e1,e2)) )],[refute_0_864,refute_0_547]) ).
cnf(refute_0_866,plain,
( op(e0,e2) != e0
| op(e0,e2) != e2
| e0 = e2 ),
introduced(tautology,[equality,[$cnf( $equal(op(e0,e2),e2) ),[0],$fot(e0)]]) ).
cnf(refute_0_867,plain,
( op(e0,e2) != e0
| e0 = e2
| op(e0,e0) = e2 ),
inference(resolve,[$cnf( $equal(op(e0,e2),e2) )],[refute_0_865,refute_0_866]) ).
cnf(refute_0_868,plain,
( op(e0,e2) != e0
| op(e0,e0) = e2 ),
inference(resolve,[$cnf( $equal(e0,e2) )],[refute_0_867,refute_0_80]) ).
cnf(refute_0_869,plain,
( e1 != op(e0,e0)
| e2 != op(op(e0,e0),e0)
| e3 != op(op(e0,e0),op(e0,e0)) ),
inference(canonicalize,[],[normalize_0_78]) ).
cnf(refute_0_870,plain,
op(e1,op(e0,e0)) = op(e1,op(e0,e0)),
introduced(tautology,[refl,[$fot(op(e1,op(e0,e0)))]]) ).
cnf(refute_0_871,plain,
( op(e0,e0) != e1
| op(e1,op(e0,e0)) != op(e1,op(e0,e0))
| op(e1,op(e0,e0)) = op(e1,e1) ),
introduced(tautology,[equality,[$cnf( $equal(op(e1,op(e0,e0)),op(e1,op(e0,e0))) ),[1,1],$fot(e1)]]) ).
cnf(refute_0_872,plain,
( op(e0,e0) != e1
| op(e1,op(e0,e0)) = op(e1,e1) ),
inference(resolve,[$cnf( $equal(op(e1,op(e0,e0)),op(e1,op(e0,e0))) )],[refute_0_870,refute_0_871]) ).
cnf(refute_0_873,plain,
( e1 != op(e0,e0)
| op(e1,op(e0,e0)) = op(e1,e1) ),
inference(resolve,[$cnf( $equal(op(e0,e0),e1) )],[refute_0_801,refute_0_872]) ).
cnf(refute_0_874,plain,
( op(e0,e0) != e1
| op(op(e0,e0),op(e0,e0)) != op(op(e0,e0),op(e0,e0))
| op(op(e0,e0),op(e0,e0)) = op(e1,op(e0,e0)) ),
introduced(tautology,[equality,[$cnf( $equal(op(op(e0,e0),op(e0,e0)),op(op(e0,e0),op(e0,e0))) ),[1,0],$fot(e1)]]) ).
cnf(refute_0_875,plain,
( op(e0,e0) != e1
| op(op(e0,e0),op(e0,e0)) = op(e1,op(e0,e0)) ),
inference(resolve,[$cnf( $equal(op(op(e0,e0),op(e0,e0)),op(op(e0,e0),op(e0,e0))) )],[refute_0_361,refute_0_874]) ).
cnf(refute_0_876,plain,
( e1 != op(e0,e0)
| op(op(e0,e0),op(e0,e0)) = op(e1,op(e0,e0)) ),
inference(resolve,[$cnf( $equal(op(e0,e0),e1) )],[refute_0_801,refute_0_875]) ).
cnf(refute_0_877,plain,
( op(e1,op(e0,e0)) != op(e1,e1)
| op(op(e0,e0),op(e0,e0)) != op(e1,op(e0,e0))
| op(op(e0,e0),op(e0,e0)) = op(e1,e1) ),
inference(subst,[],[refute_0_44:[bind(X,$fot(op(op(e0,e0),op(e0,e0)))),bind(Y,$fot(op(e1,op(e0,e0)))),bind(Z,$fot(op(e1,e1)))]]) ).
cnf(refute_0_878,plain,
( e1 != op(e0,e0)
| op(e1,op(e0,e0)) != op(e1,e1)
| op(op(e0,e0),op(e0,e0)) = op(e1,e1) ),
inference(resolve,[$cnf( $equal(op(op(e0,e0),op(e0,e0)),op(e1,op(e0,e0))) )],[refute_0_876,refute_0_877]) ).
cnf(refute_0_879,plain,
( e1 != op(e0,e0)
| op(op(e0,e0),op(e0,e0)) = op(e1,e1) ),
inference(resolve,[$cnf( $equal(op(e1,op(e0,e0)),op(e1,e1)) )],[refute_0_873,refute_0_878]) ).
cnf(refute_0_880,plain,
( e3 != op(e1,e1)
| op(op(e0,e0),op(e0,e0)) != op(e1,e1)
| e3 = op(op(e0,e0),op(e0,e0)) ),
introduced(tautology,[equality,[$cnf( ~ $equal(e3,op(op(e0,e0),op(e0,e0))) ),[1],$fot(op(e1,e1))]]) ).
cnf(refute_0_881,plain,
( e1 != op(e0,e0)
| e3 != op(e1,e1)
| e3 = op(op(e0,e0),op(e0,e0)) ),
inference(resolve,[$cnf( $equal(op(op(e0,e0),op(e0,e0)),op(e1,e1)) )],[refute_0_879,refute_0_880]) ).
cnf(refute_0_882,plain,
( e1 != op(e0,e0)
| e2 != op(op(e0,e0),e0)
| e3 != op(e1,e1) ),
inference(resolve,[$cnf( $equal(e3,op(op(e0,e0),op(e0,e0))) )],[refute_0_881,refute_0_869]) ).
cnf(refute_0_883,plain,
( op(e0,e0) != e1
| op(op(e0,e0),e0) != op(op(e0,e0),e0)
| op(op(e0,e0),e0) = op(e1,e0) ),
introduced(tautology,[equality,[$cnf( $equal(op(op(e0,e0),e0),op(op(e0,e0),e0)) ),[1,0],$fot(e1)]]) ).
cnf(refute_0_884,plain,
( op(e0,e0) != e1
| op(op(e0,e0),e0) = op(e1,e0) ),
inference(resolve,[$cnf( $equal(op(op(e0,e0),e0),op(op(e0,e0),e0)) )],[refute_0_350,refute_0_883]) ).
cnf(refute_0_885,plain,
( e1 != op(e0,e0)
| op(op(e0,e0),e0) = op(e1,e0) ),
inference(resolve,[$cnf( $equal(op(e0,e0),e1) )],[refute_0_801,refute_0_884]) ).
cnf(refute_0_886,plain,
( e2 != op(e1,e0)
| op(op(e0,e0),e0) != op(e1,e0)
| e2 = op(op(e0,e0),e0) ),
introduced(tautology,[equality,[$cnf( ~ $equal(e2,op(op(e0,e0),e0)) ),[1],$fot(op(e1,e0))]]) ).
cnf(refute_0_887,plain,
( e1 != op(e0,e0)
| e2 != op(e1,e0)
| e2 = op(op(e0,e0),e0) ),
inference(resolve,[$cnf( $equal(op(op(e0,e0),e0),op(e1,e0)) )],[refute_0_885,refute_0_886]) ).
cnf(refute_0_888,plain,
( e1 != op(e0,e0)
| e2 != op(e1,e0)
| e3 != op(e1,e1) ),
inference(resolve,[$cnf( $equal(e2,op(op(e0,e0),e0)) )],[refute_0_887,refute_0_882]) ).
cnf(refute_0_889,plain,
( op(e1,e0) != e2
| op(e0,e0) = e2
| op(e0,e0) = e3
| op(e1,e0) = op(e1,e1)
| op(e1,e1) = e3 ),
inference(resolve,[$cnf( $equal(op(e1,e1),e2) )],[refute_0_153,refute_0_524]) ).
cnf(refute_0_890,plain,
( op(e1,e0) != e2
| op(e0,e0) = e2
| op(e0,e0) = e3
| op(e1,e1) = e3 ),
inference(resolve,[$cnf( $equal(op(e1,e0),op(e1,e1)) )],[refute_0_889,refute_0_523]) ).
cnf(refute_0_891,plain,
( e1 != op(e1,e0)
| op(e0,e0) != e1
| op(e0,e0) = op(e1,e0) ),
introduced(tautology,[equality,[$cnf( $equal(op(e0,e0),e1) ),[1],$fot(op(e1,e0))]]) ).
cnf(refute_0_892,plain,
( e1 != op(e1,e0)
| op(e0,e0) = e0
| op(e0,e0) = e2
| op(e0,e0) = e3
| op(e0,e0) = op(e1,e0) ),
inference(resolve,[$cnf( $equal(op(e0,e0),e1) )],[refute_0_59,refute_0_891]) ).
cnf(refute_0_893,plain,
( e1 != op(e1,e0)
| op(e0,e0) = e0
| op(e0,e0) = e2
| op(e0,e0) = e3 ),
inference(resolve,[$cnf( $equal(op(e0,e0),op(e1,e0)) )],[refute_0_892,refute_0_530]) ).
cnf(refute_0_894,plain,
( e1 != op(e1,e0)
| op(e0,e0) = e2
| op(e0,e0) = e3 ),
inference(resolve,[$cnf( $equal(op(e0,e0),e0) )],[refute_0_893,refute_0_192]) ).
cnf(refute_0_895,plain,
( e1 != op(e0,e0)
| e2 != op(op(e0,e0),op(e0,e0))
| e3 != op(op(e0,e0),e0) ),
inference(canonicalize,[],[normalize_0_79]) ).
cnf(refute_0_896,plain,
( e3 != op(e1,e0)
| op(op(e0,e0),e0) != op(e1,e0)
| e3 = op(op(e0,e0),e0) ),
introduced(tautology,[equality,[$cnf( ~ $equal(e3,op(op(e0,e0),e0)) ),[1],$fot(op(e1,e0))]]) ).
cnf(refute_0_897,plain,
( e1 != op(e0,e0)
| e3 != op(e1,e0)
| e3 = op(op(e0,e0),e0) ),
inference(resolve,[$cnf( $equal(op(op(e0,e0),e0),op(e1,e0)) )],[refute_0_885,refute_0_896]) ).
cnf(refute_0_898,plain,
( e1 != op(e0,e0)
| e2 != op(op(e0,e0),op(e0,e0))
| e3 != op(e1,e0) ),
inference(resolve,[$cnf( $equal(e3,op(op(e0,e0),e0)) )],[refute_0_897,refute_0_895]) ).
cnf(refute_0_899,plain,
( e2 != op(e1,e1)
| op(op(e0,e0),op(e0,e0)) != op(e1,e1)
| e2 = op(op(e0,e0),op(e0,e0)) ),
introduced(tautology,[equality,[$cnf( ~ $equal(e2,op(op(e0,e0),op(e0,e0))) ),[1],$fot(op(e1,e1))]]) ).
cnf(refute_0_900,plain,
( e1 != op(e0,e0)
| e2 != op(e1,e1)
| e2 = op(op(e0,e0),op(e0,e0)) ),
inference(resolve,[$cnf( $equal(op(op(e0,e0),op(e0,e0)),op(e1,e1)) )],[refute_0_879,refute_0_899]) ).
cnf(refute_0_901,plain,
( e1 != op(e0,e0)
| e2 != op(e1,e1)
| e3 != op(e1,e0) ),
inference(resolve,[$cnf( $equal(e2,op(op(e0,e0),op(e0,e0))) )],[refute_0_900,refute_0_898]) ).
cnf(refute_0_902,plain,
( op(e1,e0) != e3
| op(e1,e1) != e3
| op(e1,e0) = op(e1,e1) ),
introduced(tautology,[equality,[$cnf( ~ $equal(op(e1,e0),op(e1,e1)) ),[1],$fot(e3)]]) ).
cnf(refute_0_903,plain,
( op(e1,e0) != e3
| op(e0,e0) = e2
| op(e0,e0) = e3
| op(e1,e0) = op(e1,e1)
| op(e1,e1) = e2 ),
inference(resolve,[$cnf( $equal(op(e1,e1),e3) )],[refute_0_153,refute_0_902]) ).
cnf(refute_0_904,plain,
( op(e1,e0) != e3
| op(e0,e0) = e2
| op(e0,e0) = e3
| op(e1,e1) = e2 ),
inference(resolve,[$cnf( $equal(op(e1,e0),op(e1,e1)) )],[refute_0_903,refute_0_523]) ).
cnf(refute_0_905,plain,
( e3 != e3
| op(e1,e0) != e3
| op(e1,e0) = e3 ),
introduced(tautology,[equality,[$cnf( $equal(op(e1,e0),e3) ),[1],$fot(e3)]]) ).
cnf(refute_0_906,plain,
( e3 != e3
| op(e1,e0) = e0
| op(e1,e0) = e1
| op(e1,e0) = e2
| op(e1,e0) = e3 ),
inference(resolve,[$cnf( $equal(op(e1,e0),e3) )],[refute_0_531,refute_0_905]) ).
cnf(refute_0_907,plain,
( e3 != e3
| op(e0,e0) = e2
| op(e0,e0) = e3
| op(e1,e0) = e0
| op(e1,e0) = e1
| op(e1,e0) = e2
| op(e1,e1) = e2 ),
inference(resolve,[$cnf( $equal(op(e1,e0),e3) )],[refute_0_906,refute_0_904]) ).
cnf(refute_0_908,plain,
( op(e0,e0) = e2
| op(e0,e0) = e3
| op(e1,e0) = e0
| op(e1,e0) = e1
| op(e1,e0) = e2
| op(e1,e1) = e2 ),
inference(resolve,[$cnf( $equal(e3,e3) )],[refute_0_128,refute_0_907]) ).
cnf(refute_0_909,plain,
( e2 != e2
| e2 = op(e1,e1)
| op(e0,e0) = e2
| op(e0,e0) = e3
| op(e1,e0) = e0
| op(e1,e0) = e1
| op(e1,e0) = e2 ),
inference(resolve,[$cnf( $equal(op(e1,e1),e2) )],[refute_0_908,refute_0_154]) ).
cnf(refute_0_910,plain,
( e1 != op(e0,e0)
| e2 != e2
| e3 != op(e1,e0)
| op(e0,e0) = e2
| op(e0,e0) = e3
| op(e1,e0) = e0
| op(e1,e0) = e1
| op(e1,e0) = e2 ),
inference(resolve,[$cnf( $equal(e2,op(e1,e1)) )],[refute_0_909,refute_0_901]) ).
cnf(refute_0_911,plain,
( e1 != op(e0,e0)
| e3 != op(e1,e0)
| op(e0,e0) = e2
| op(e0,e0) = e3
| op(e1,e0) = e0
| op(e1,e0) = e1
| op(e1,e0) = e2 ),
inference(resolve,[$cnf( $equal(e2,e2) )],[refute_0_63,refute_0_910]) ).
cnf(refute_0_912,plain,
( e1 != op(e0,e0)
| e3 != op(e1,e0)
| e1 = e2
| op(e0,e0) = e3
| op(e1,e0) = e0
| op(e1,e0) = e1
| op(e1,e0) = e2 ),
inference(resolve,[$cnf( $equal(op(e0,e0),e2) )],[refute_0_911,refute_0_803]) ).
cnf(refute_0_913,plain,
( e1 != op(e0,e0)
| e3 != op(e1,e0)
| e1 = e2
| e1 = e3
| op(e1,e0) = e0
| op(e1,e0) = e1
| op(e1,e0) = e2 ),
inference(resolve,[$cnf( $equal(op(e0,e0),e3) )],[refute_0_912,refute_0_806]) ).
cnf(refute_0_914,plain,
( e3 != e3
| e3 != op(e1,e0)
| op(e1,e0) = e3 ),
introduced(tautology,[equality,[$cnf( $equal(e3,e3) ),[0],$fot(op(e1,e0))]]) ).
cnf(refute_0_915,plain,
( e3 != op(e1,e0)
| op(e1,e0) = e3 ),
inference(resolve,[$cnf( $equal(e3,e3) )],[refute_0_128,refute_0_914]) ).
cnf(refute_0_916,plain,
( op(e1,e0) != e0
| op(e1,e0) != e3
| e3 = e0 ),
introduced(tautology,[equality,[$cnf( $equal(op(e1,e0),e0) ),[0],$fot(e3)]]) ).
cnf(refute_0_917,plain,
( e3 != op(e1,e0)
| op(e1,e0) != e0
| e3 = e0 ),
inference(resolve,[$cnf( $equal(op(e1,e0),e3) )],[refute_0_915,refute_0_916]) ).
cnf(refute_0_918,plain,
( e1 != op(e0,e0)
| e3 != op(e1,e0)
| e1 = e2
| e1 = e3
| e3 = e0
| op(e1,e0) = e1
| op(e1,e0) = e2 ),
inference(resolve,[$cnf( $equal(op(e1,e0),e0) )],[refute_0_913,refute_0_917]) ).
cnf(refute_0_919,plain,
( op(e1,e0) != e1
| op(e1,e0) != e3
| e3 = e1 ),
introduced(tautology,[equality,[$cnf( $equal(op(e1,e0),e1) ),[0],$fot(e3)]]) ).
cnf(refute_0_920,plain,
( e3 != op(e1,e0)
| op(e1,e0) != e1
| e3 = e1 ),
inference(resolve,[$cnf( $equal(op(e1,e0),e3) )],[refute_0_915,refute_0_919]) ).
cnf(refute_0_921,plain,
( e1 != op(e0,e0)
| e3 != op(e1,e0)
| e1 = e2
| e1 = e3
| e3 = e0
| e3 = e1
| op(e1,e0) = e2 ),
inference(resolve,[$cnf( $equal(op(e1,e0),e1) )],[refute_0_918,refute_0_920]) ).
cnf(refute_0_922,plain,
( op(e1,e0) != e2
| op(e1,e0) != e3
| e3 = e2 ),
introduced(tautology,[equality,[$cnf( $equal(op(e1,e0),e2) ),[0],$fot(e3)]]) ).
cnf(refute_0_923,plain,
( e3 != op(e1,e0)
| op(e1,e0) != e2
| e3 = e2 ),
inference(resolve,[$cnf( $equal(op(e1,e0),e3) )],[refute_0_915,refute_0_922]) ).
cnf(refute_0_924,plain,
( e1 != op(e0,e0)
| e3 != op(e1,e0)
| e1 = e2
| e1 = e3
| e3 = e0
| e3 = e1
| e3 = e2 ),
inference(resolve,[$cnf( $equal(op(e1,e0),e2) )],[refute_0_921,refute_0_923]) ).
cnf(refute_0_925,plain,
( e1 != op(e0,e0)
| e3 != op(e1,e0)
| e1 = e2
| e1 = e3
| e3 = e0
| e3 = e2 ),
inference(resolve,[$cnf( $equal(e3,e1) )],[refute_0_924,refute_0_245]) ).
cnf(refute_0_926,plain,
( e1 != op(e0,e0)
| e3 != op(e1,e0)
| e1 = e3
| e3 = e0
| e3 = e2 ),
inference(resolve,[$cnf( $equal(e1,e2) )],[refute_0_925,refute_0_84]) ).
cnf(refute_0_927,plain,
( e1 != op(e0,e0)
| e3 != op(e1,e0)
| e3 = e0
| e3 = e2 ),
inference(resolve,[$cnf( $equal(e1,e3) )],[refute_0_926,refute_0_27]) ).
cnf(refute_0_928,plain,
( e1 != op(e0,e0)
| e3 != op(e1,e0)
| e3 = e2 ),
inference(resolve,[$cnf( $equal(e3,e0) )],[refute_0_927,refute_0_243]) ).
cnf(refute_0_929,plain,
( e1 != op(e0,e0)
| e3 != op(e1,e0) ),
inference(resolve,[$cnf( $equal(e3,e2) )],[refute_0_928,refute_0_249]) ).
cnf(refute_0_930,plain,
( e3 != e3
| op(e1,e0) != e3
| e3 = op(e1,e0) ),
introduced(tautology,[equality,[$cnf( ~ $equal(e3,op(e1,e0)) ),[1],$fot(e3)]]) ).
cnf(refute_0_931,plain,
( e3 != e3
| e3 = op(e1,e0)
| op(e1,e0) = e0
| op(e1,e0) = e1
| op(e1,e0) = e2 ),
inference(resolve,[$cnf( $equal(op(e1,e0),e3) )],[refute_0_531,refute_0_930]) ).
cnf(refute_0_932,plain,
( e1 != op(e0,e0)
| e3 != e3
| op(e1,e0) = e0
| op(e1,e0) = e1
| op(e1,e0) = e2 ),
inference(resolve,[$cnf( $equal(e3,op(e1,e0)) )],[refute_0_931,refute_0_929]) ).
cnf(refute_0_933,plain,
( e1 != op(e0,e0)
| op(e1,e0) = e0
| op(e1,e0) = e1
| op(e1,e0) = e2 ),
inference(resolve,[$cnf( $equal(e3,e3) )],[refute_0_128,refute_0_932]) ).
cnf(refute_0_934,plain,
( e1 != e1
| e1 = op(e0,e0)
| op(e0,e0) = e2
| op(e0,e0) = e3 ),
inference(resolve,[$cnf( $equal(op(e0,e0),e1) )],[refute_0_513,refute_0_859]) ).
cnf(refute_0_935,plain,
( e1 != e1
| op(e0,e0) = e2
| op(e0,e0) = e3
| op(e1,e0) = e0
| op(e1,e0) = e1
| op(e1,e0) = e2 ),
inference(resolve,[$cnf( $equal(e1,op(e0,e0)) )],[refute_0_934,refute_0_933]) ).
cnf(refute_0_936,plain,
( op(e0,e0) = e2
| op(e0,e0) = e3
| op(e1,e0) = e0
| op(e1,e0) = e1
| op(e1,e0) = e2 ),
inference(resolve,[$cnf( $equal(e1,e1) )],[refute_0_22,refute_0_935]) ).
cnf(refute_0_937,plain,
( e1 != e1
| op(e1,e0) != e1
| e1 = op(e1,e0) ),
introduced(tautology,[equality,[$cnf( ~ $equal(e1,op(e1,e0)) ),[1],$fot(e1)]]) ).
cnf(refute_0_938,plain,
( e1 != e1
| e1 = op(e1,e0)
| op(e0,e0) = e2
| op(e0,e0) = e3
| op(e1,e0) = e0
| op(e1,e0) = e2 ),
inference(resolve,[$cnf( $equal(op(e1,e0),e1) )],[refute_0_936,refute_0_937]) ).
cnf(refute_0_939,plain,
( e1 != e1
| op(e0,e0) = e2
| op(e0,e0) = e3
| op(e1,e0) = e0
| op(e1,e0) = e2 ),
inference(resolve,[$cnf( $equal(e1,op(e1,e0)) )],[refute_0_938,refute_0_894]) ).
cnf(refute_0_940,plain,
( op(e0,e0) = e2
| op(e0,e0) = e3
| op(e1,e0) = e0
| op(e1,e0) = e2 ),
inference(resolve,[$cnf( $equal(e1,e1) )],[refute_0_22,refute_0_939]) ).
cnf(refute_0_941,plain,
( e2 != e2
| op(e0,e0) = e2
| op(e0,e0) = e3
| op(e1,e0) = e0
| op(e1,e0) = e2 ),
inference(resolve,[$cnf( $equal(op(e1,e0),e2) )],[refute_0_940,refute_0_539]) ).
cnf(refute_0_942,plain,
( e2 != e2
| op(e0,e0) = e2
| op(e0,e0) = e3
| op(e1,e0) = e0
| op(e1,e1) = e3 ),
inference(resolve,[$cnf( $equal(op(e1,e0),e2) )],[refute_0_941,refute_0_890]) ).
cnf(refute_0_943,plain,
( op(e0,e0) = e2
| op(e0,e0) = e3
| op(e1,e0) = e0
| op(e1,e1) = e3 ),
inference(resolve,[$cnf( $equal(e2,e2) )],[refute_0_63,refute_0_942]) ).
cnf(refute_0_944,plain,
( e3 != e3
| e3 = op(e1,e1)
| op(e0,e0) = e2
| op(e0,e0) = e3
| op(e1,e0) = e0 ),
inference(resolve,[$cnf( $equal(op(e1,e1),e3) )],[refute_0_943,refute_0_338]) ).
cnf(refute_0_945,plain,
( e1 != op(e0,e0)
| e2 != op(e1,e0)
| e3 != e3
| op(e0,e0) = e2
| op(e0,e0) = e3
| op(e1,e0) = e0 ),
inference(resolve,[$cnf( $equal(e3,op(e1,e1)) )],[refute_0_944,refute_0_888]) ).
cnf(refute_0_946,plain,
( e1 != op(e0,e0)
| e2 != op(e1,e0)
| op(e0,e0) = e2
| op(e0,e0) = e3
| op(e1,e0) = e0 ),
inference(resolve,[$cnf( $equal(e3,e3) )],[refute_0_128,refute_0_945]) ).
cnf(refute_0_947,plain,
( e1 != op(e0,e0)
| e2 != op(e1,e0)
| e1 = e2
| op(e0,e0) = e3
| op(e1,e0) = e0 ),
inference(resolve,[$cnf( $equal(op(e0,e0),e2) )],[refute_0_946,refute_0_803]) ).
cnf(refute_0_948,plain,
( e1 != op(e0,e0)
| e2 != op(e1,e0)
| e1 = e2
| e1 = e3
| op(e1,e0) = e0 ),
inference(resolve,[$cnf( $equal(op(e0,e0),e3) )],[refute_0_947,refute_0_806]) ).
cnf(refute_0_949,plain,
( e2 != e2
| e2 != op(e1,e0)
| op(e1,e0) = e2 ),
introduced(tautology,[equality,[$cnf( $equal(e2,e2) ),[0],$fot(op(e1,e0))]]) ).
cnf(refute_0_950,plain,
( e2 != op(e1,e0)
| op(e1,e0) = e2 ),
inference(resolve,[$cnf( $equal(e2,e2) )],[refute_0_63,refute_0_949]) ).
cnf(refute_0_951,plain,
( op(e1,e0) != e0
| op(e1,e0) != e2
| e2 = e0 ),
introduced(tautology,[equality,[$cnf( $equal(op(e1,e0),e0) ),[0],$fot(e2)]]) ).
cnf(refute_0_952,plain,
( e2 != op(e1,e0)
| op(e1,e0) != e0
| e2 = e0 ),
inference(resolve,[$cnf( $equal(op(e1,e0),e2) )],[refute_0_950,refute_0_951]) ).
cnf(refute_0_953,plain,
( e1 != op(e0,e0)
| e2 != op(e1,e0)
| e1 = e2
| e1 = e3
| e2 = e0 ),
inference(resolve,[$cnf( $equal(op(e1,e0),e0) )],[refute_0_948,refute_0_952]) ).
cnf(refute_0_954,plain,
( e1 != op(e0,e0)
| e2 != op(e1,e0)
| e1 = e3
| e2 = e0 ),
inference(resolve,[$cnf( $equal(e1,e2) )],[refute_0_953,refute_0_84]) ).
cnf(refute_0_955,plain,
( e1 != op(e0,e0)
| e2 != op(e1,e0)
| e2 = e0 ),
inference(resolve,[$cnf( $equal(e1,e3) )],[refute_0_954,refute_0_27]) ).
cnf(refute_0_956,plain,
( e1 != op(e0,e0)
| e2 != op(e1,e0) ),
inference(resolve,[$cnf( $equal(e2,e0) )],[refute_0_955,refute_0_82]) ).
cnf(refute_0_957,plain,
( e2 != e2
| op(e1,e0) != e2
| e2 = op(e1,e0) ),
introduced(tautology,[equality,[$cnf( ~ $equal(e2,op(e1,e0)) ),[1],$fot(e2)]]) ).
cnf(refute_0_958,plain,
( e2 != e2
| e2 = op(e1,e0)
| op(e0,e0) = e2
| op(e0,e0) = e3
| op(e1,e0) = e0 ),
inference(resolve,[$cnf( $equal(op(e1,e0),e2) )],[refute_0_940,refute_0_957]) ).
cnf(refute_0_959,plain,
( e1 != op(e0,e0)
| e2 != e2
| op(e0,e0) = e2
| op(e0,e0) = e3
| op(e1,e0) = e0 ),
inference(resolve,[$cnf( $equal(e2,op(e1,e0)) )],[refute_0_958,refute_0_956]) ).
cnf(refute_0_960,plain,
( e1 != op(e0,e0)
| op(e0,e0) = e2
| op(e0,e0) = e3
| op(e1,e0) = e0 ),
inference(resolve,[$cnf( $equal(e2,e2) )],[refute_0_63,refute_0_959]) ).
cnf(refute_0_961,plain,
( e1 != op(e0,e0)
| e1 = e2
| op(e0,e0) = e3
| op(e1,e0) = e0 ),
inference(resolve,[$cnf( $equal(op(e0,e0),e2) )],[refute_0_960,refute_0_803]) ).
cnf(refute_0_962,plain,
( e1 != op(e0,e0)
| e1 = e2
| e1 = e3
| op(e1,e0) = e0 ),
inference(resolve,[$cnf( $equal(op(e0,e0),e3) )],[refute_0_961,refute_0_806]) ).
cnf(refute_0_963,plain,
( e1 != op(e0,e0)
| e1 = e3
| op(e1,e0) = e0 ),
inference(resolve,[$cnf( $equal(e1,e2) )],[refute_0_962,refute_0_84]) ).
cnf(refute_0_964,plain,
( e1 != op(e0,e0)
| op(e1,e0) = e0 ),
inference(resolve,[$cnf( $equal(e1,e3) )],[refute_0_963,refute_0_27]) ).
cnf(refute_0_965,plain,
( e1 != e1
| op(e0,e0) = e2
| op(e1,e0) = e0 ),
inference(resolve,[$cnf( $equal(e1,op(e0,e0)) )],[refute_0_860,refute_0_964]) ).
cnf(refute_0_966,plain,
( op(e0,e0) = e2
| op(e1,e0) = e0 ),
inference(resolve,[$cnf( $equal(e1,e1) )],[refute_0_22,refute_0_965]) ).
cnf(refute_0_967,plain,
( e0 != op(e3,e0)
| op(e1,e0) != e0
| op(e1,e0) = op(e3,e0) ),
introduced(tautology,[equality,[$cnf( $equal(op(e1,e0),e0) ),[1],$fot(op(e3,e0))]]) ).
cnf(refute_0_968,plain,
( e0 != op(e3,e0)
| op(e0,e0) = e2
| op(e1,e0) = op(e3,e0) ),
inference(resolve,[$cnf( $equal(op(e1,e0),e0) )],[refute_0_966,refute_0_967]) ).
cnf(refute_0_969,plain,
( e0 != op(e3,e0)
| op(e0,e0) = e2 ),
inference(resolve,[$cnf( $equal(op(e1,e0),op(e3,e0)) )],[refute_0_968,refute_0_346]) ).
cnf(refute_0_970,plain,
op(e2,e2) != op(e3,e2),
inference(canonicalize,[],[normalize_0_80]) ).
cnf(refute_0_971,plain,
( e0 != op(e3,e2)
| op(e2,e2) != e0
| op(e2,e2) = op(e3,e2) ),
introduced(tautology,[equality,[$cnf( $equal(op(e2,e2),e0) ),[1],$fot(op(e3,e2))]]) ).
cnf(refute_0_972,plain,
( e0 != op(e3,e2)
| op(e0,e0) = e2
| op(e1,e1) = e0
| op(e1,e1) = e2
| op(e2,e2) = op(e3,e2) ),
inference(resolve,[$cnf( $equal(op(e2,e2),e0) )],[refute_0_162,refute_0_971]) ).
cnf(refute_0_973,plain,
( e0 != op(e3,e2)
| op(e0,e0) = e2
| op(e1,e1) = e0
| op(e1,e1) = e2 ),
inference(resolve,[$cnf( $equal(op(e2,e2),op(e3,e2)) )],[refute_0_972,refute_0_970]) ).
cnf(refute_0_974,plain,
( op(e3,e0) = e0
| op(e3,e1) = e0
| op(e3,e2) = e0
| op(e3,e3) = e0 ),
inference(canonicalize,[],[normalize_0_81]) ).
cnf(refute_0_975,plain,
( op(e3,e3) != e2
| e0 = e2
| op(e3,e0) = e0
| op(e3,e1) = e0
| op(e3,e2) = e0 ),
inference(resolve,[$cnf( $equal(op(e3,e3),e0) )],[refute_0_974,refute_0_651]) ).
cnf(refute_0_976,plain,
( e0 = e2
| op(e0,e0) = e2
| op(e1,e1) = e2
| op(e3,e0) = e0
| op(e3,e1) = e0
| op(e3,e2) = e0 ),
inference(resolve,[$cnf( $equal(op(e3,e3),e2) )],[refute_0_158,refute_0_975]) ).
cnf(refute_0_977,plain,
( op(e0,e0) = e2
| op(e1,e1) = e2
| op(e3,e0) = e0
| op(e3,e1) = e0
| op(e3,e2) = e0 ),
inference(resolve,[$cnf( $equal(e0,e2) )],[refute_0_976,refute_0_80]) ).
cnf(refute_0_978,plain,
( e0 != e0
| e0 = op(e3,e2)
| op(e0,e0) = e2
| op(e1,e1) = e2
| op(e3,e0) = e0
| op(e3,e1) = e0 ),
inference(resolve,[$cnf( $equal(op(e3,e2),e0) )],[refute_0_977,refute_0_304]) ).
cnf(refute_0_979,plain,
( e0 != e0
| op(e0,e0) = e2
| op(e1,e1) = e0
| op(e1,e1) = e2
| op(e3,e0) = e0
| op(e3,e1) = e0 ),
inference(resolve,[$cnf( $equal(e0,op(e3,e2)) )],[refute_0_978,refute_0_973]) ).
cnf(refute_0_980,plain,
( op(e0,e0) = e2
| op(e1,e1) = e0
| op(e1,e1) = e2
| op(e3,e0) = e0
| op(e3,e1) = e0 ),
inference(resolve,[$cnf( $equal(e0,e0) )],[refute_0_10,refute_0_979]) ).
cnf(refute_0_981,plain,
( e0 != e0
| e0 = op(e3,e1)
| op(e0,e0) = e2
| op(e1,e1) = e0
| op(e1,e1) = e2
| op(e3,e0) = e0 ),
inference(resolve,[$cnf( $equal(op(e3,e1),e0) )],[refute_0_980,refute_0_484]) ).
cnf(refute_0_982,plain,
( e0 != e0
| e3 != op(e1,e1)
| op(e0,e0) = e2
| op(e1,e1) = e0
| op(e1,e1) = e2
| op(e3,e0) = e0 ),
inference(resolve,[$cnf( $equal(e0,op(e3,e1)) )],[refute_0_981,refute_0_483]) ).
cnf(refute_0_983,plain,
( e3 != op(e1,e1)
| op(e0,e0) = e2
| op(e1,e1) = e0
| op(e1,e1) = e2
| op(e3,e0) = e0 ),
inference(resolve,[$cnf( $equal(e0,e0) )],[refute_0_10,refute_0_982]) ).
cnf(refute_0_984,plain,
( e3 != op(e1,e1)
| e3 = e0
| op(e0,e0) = e2
| op(e1,e1) = e2
| op(e3,e0) = e0 ),
inference(resolve,[$cnf( $equal(op(e1,e1),e0) )],[refute_0_983,refute_0_234]) ).
cnf(refute_0_985,plain,
( e3 != op(e1,e1)
| e3 = e0
| e3 = e2
| op(e0,e0) = e2
| op(e3,e0) = e0 ),
inference(resolve,[$cnf( $equal(op(e1,e1),e2) )],[refute_0_984,refute_0_240]) ).
cnf(refute_0_986,plain,
( e3 != op(e1,e1)
| e3 = e2
| op(e0,e0) = e2
| op(e3,e0) = e0 ),
inference(resolve,[$cnf( $equal(e3,e0) )],[refute_0_985,refute_0_243]) ).
cnf(refute_0_987,plain,
( e3 != op(e1,e1)
| op(e0,e0) = e2
| op(e3,e0) = e0 ),
inference(resolve,[$cnf( $equal(e3,e2) )],[refute_0_986,refute_0_249]) ).
cnf(refute_0_988,plain,
( e3 != e3
| op(e0,e0) = e2
| op(e0,e0) = e3
| op(e1,e1) = e2
| op(e3,e0) = e0 ),
inference(resolve,[$cnf( $equal(e3,op(e1,e1)) )],[refute_0_490,refute_0_987]) ).
cnf(refute_0_989,plain,
( op(e0,e0) = e2
| op(e0,e0) = e3
| op(e1,e1) = e2
| op(e3,e0) = e0 ),
inference(resolve,[$cnf( $equal(e3,e3) )],[refute_0_128,refute_0_988]) ).
cnf(refute_0_990,plain,
( e0 != e0
| op(e3,e0) != e0
| e0 = op(e3,e0) ),
introduced(tautology,[equality,[$cnf( ~ $equal(e0,op(e3,e0)) ),[1],$fot(e0)]]) ).
cnf(refute_0_991,plain,
( e0 != e0
| e0 = op(e3,e0)
| op(e0,e0) = e2
| op(e0,e0) = e3
| op(e1,e1) = e2 ),
inference(resolve,[$cnf( $equal(op(e3,e0),e0) )],[refute_0_989,refute_0_990]) ).
cnf(refute_0_992,plain,
( e0 != e0
| op(e0,e0) = e2
| op(e0,e0) = e3
| op(e1,e1) = e2 ),
inference(resolve,[$cnf( $equal(e0,op(e3,e0)) )],[refute_0_991,refute_0_969]) ).
cnf(refute_0_993,plain,
( op(e0,e0) = e2
| op(e0,e0) = e3
| op(e1,e1) = e2 ),
inference(resolve,[$cnf( $equal(e0,e0) )],[refute_0_10,refute_0_992]) ).
cnf(refute_0_994,plain,
op(e1,e0) != op(e1,e2),
inference(canonicalize,[],[normalize_0_82]) ).
cnf(refute_0_995,plain,
( e0 != op(e1,e2)
| op(e1,e0) != e0
| op(e1,e0) = op(e1,e2) ),
introduced(tautology,[equality,[$cnf( $equal(op(e1,e0),e0) ),[1],$fot(op(e1,e2))]]) ).
cnf(refute_0_996,plain,
( e0 != op(e1,e2)
| op(e0,e0) = e2
| op(e1,e0) = op(e1,e2) ),
inference(resolve,[$cnf( $equal(op(e1,e0),e0) )],[refute_0_966,refute_0_995]) ).
cnf(refute_0_997,plain,
( e0 != op(e1,e2)
| op(e0,e0) = e2 ),
inference(resolve,[$cnf( $equal(op(e1,e0),op(e1,e2)) )],[refute_0_996,refute_0_994]) ).
cnf(refute_0_998,plain,
( op(e2,e2) != e3
| e0 = e3
| op(e0,e0) = e2
| op(e0,e0) = e3
| op(e0,e2) = e0
| op(e1,e2) = e0 ),
inference(resolve,[$cnf( $equal(op(e2,e2),e0) )],[refute_0_796,refute_0_134]) ).
cnf(refute_0_999,plain,
( e0 = e3
| op(e0,e0) = e2
| op(e0,e0) = e3
| op(e0,e2) = e0
| op(e1,e1) = e3
| op(e1,e2) = e0 ),
inference(resolve,[$cnf( $equal(op(e2,e2),e3) )],[refute_0_12,refute_0_998]) ).
cnf(refute_0_1000,plain,
( op(e0,e0) = e2
| op(e0,e0) = e3
| op(e0,e2) = e0
| op(e1,e1) = e3
| op(e1,e2) = e0 ),
inference(resolve,[$cnf( $equal(e0,e3) )],[refute_0_999,refute_0_137]) ).
cnf(refute_0_1001,plain,
( e0 != e0
| e0 = op(e1,e2)
| op(e0,e0) = e2
| op(e0,e0) = e3
| op(e0,e2) = e0
| op(e1,e1) = e3 ),
inference(resolve,[$cnf( $equal(op(e1,e2),e0) )],[refute_0_1000,refute_0_263]) ).
cnf(refute_0_1002,plain,
( e0 != e0
| op(e0,e0) = e2
| op(e0,e0) = e3
| op(e0,e2) = e0
| op(e1,e1) = e3 ),
inference(resolve,[$cnf( $equal(e0,op(e1,e2)) )],[refute_0_1001,refute_0_997]) ).
cnf(refute_0_1003,plain,
( op(e0,e0) = e2
| op(e0,e0) = e3
| op(e0,e2) = e0
| op(e1,e1) = e3 ),
inference(resolve,[$cnf( $equal(e0,e0) )],[refute_0_10,refute_0_1002]) ).
cnf(refute_0_1004,plain,
( op(e1,e1) != e2
| e3 = e2
| op(e0,e0) = e2
| op(e0,e0) = e3
| op(e0,e2) = e0 ),
inference(resolve,[$cnf( $equal(op(e1,e1),e3) )],[refute_0_1003,refute_0_239]) ).
cnf(refute_0_1005,plain,
( e3 = e2
| op(e0,e0) = e2
| op(e0,e0) = e3
| op(e0,e2) = e0 ),
inference(resolve,[$cnf( $equal(op(e1,e1),e2) )],[refute_0_993,refute_0_1004]) ).
cnf(refute_0_1006,plain,
( op(e0,e0) = e2
| op(e0,e0) = e3
| op(e0,e2) = e0 ),
inference(resolve,[$cnf( $equal(e3,e2) )],[refute_0_1005,refute_0_249]) ).
cnf(refute_0_1007,plain,
( e0 != e0
| op(e0,e0) = e2
| op(e0,e0) = e3
| op(e0,e2) = e0 ),
inference(resolve,[$cnf( $equal(op(e0,e2),e0) )],[refute_0_1006,refute_0_687]) ).
cnf(refute_0_1008,plain,
( e0 != e0
| op(e0,e0) = e2
| op(e0,e0) = e3 ),
inference(resolve,[$cnf( $equal(op(e0,e2),e0) )],[refute_0_1007,refute_0_868]) ).
cnf(refute_0_1009,plain,
( op(e0,e0) = e2
| op(e0,e0) = e3 ),
inference(resolve,[$cnf( $equal(e0,e0) )],[refute_0_10,refute_0_1008]) ).
cnf(refute_0_1010,plain,
( op(e0,e0) != e1
| e3 = e1
| op(e0,e0) = e2 ),
inference(resolve,[$cnf( $equal(op(e0,e0),e3) )],[refute_0_1009,refute_0_393]) ).
cnf(refute_0_1011,plain,
( e3 = e1
| op(e0,e0) = e2 ),
inference(resolve,[$cnf( $equal(op(e0,e0),e1) )],[refute_0_777,refute_0_1010]) ).
cnf(refute_0_1012,plain,
op(e0,e0) = e2,
inference(resolve,[$cnf( $equal(e3,e1) )],[refute_0_1011,refute_0_246]) ).
cnf(refute_0_1013,plain,
( op(e0,e0) != e1
| e2 = e1 ),
inference(resolve,[$cnf( $equal(op(e0,e0),e2) )],[refute_0_1012,refute_0_74]) ).
cnf(refute_0_1014,plain,
( e2 = e1
| op(e0,e0) = e3
| op(e0,e1) = e1 ),
inference(resolve,[$cnf( $equal(op(e0,e0),e1) )],[refute_0_345,refute_0_1013]) ).
cnf(refute_0_1015,plain,
( op(e0,e0) != e3
| e2 = e3 ),
inference(resolve,[$cnf( $equal(op(e0,e0),e2) )],[refute_0_1012,refute_0_77]) ).
cnf(refute_0_1016,plain,
( e2 = e1
| e2 = e3
| op(e0,e1) = e1 ),
inference(resolve,[$cnf( $equal(op(e0,e0),e3) )],[refute_0_1014,refute_0_1015]) ).
cnf(refute_0_1017,plain,
( e2 = e3
| op(e0,e1) = e1 ),
inference(resolve,[$cnf( $equal(e2,e1) )],[refute_0_1016,refute_0_86]) ).
cnf(refute_0_1018,plain,
op(e0,e1) = e1,
inference(resolve,[$cnf( $equal(e2,e3) )],[refute_0_1017,refute_0_88]) ).
cnf(refute_0_1019,plain,
( op(e0,e1) != e0
| op(e0,e1) != e1
| e1 = e0 ),
introduced(tautology,[equality,[$cnf( $equal(op(e0,e1),e0) ),[0],$fot(e1)]]) ).
cnf(refute_0_1020,plain,
( op(e0,e1) != e0
| e1 = e0 ),
inference(resolve,[$cnf( $equal(op(e0,e1),e1) )],[refute_0_1018,refute_0_1019]) ).
cnf(refute_0_1021,plain,
( e1 = e0
| op(e1,e1) = e0
| op(e2,e1) = e0
| op(e2,e2) = e0 ),
inference(resolve,[$cnf( $equal(op(e0,e1),e0) )],[refute_0_11,refute_0_1020]) ).
cnf(refute_0_1022,plain,
( op(e1,e1) = e0
| op(e2,e1) = e0
| op(e2,e2) = e0 ),
inference(resolve,[$cnf( $equal(e1,e0) )],[refute_0_1021,refute_0_172]) ).
cnf(refute_0_1023,plain,
( e2 = e1
| op(e0,e0) = e3
| op(e0,e2) = e0 ),
inference(resolve,[$cnf( $equal(op(e0,e0),e1) )],[refute_0_341,refute_0_1013]) ).
cnf(refute_0_1024,plain,
( e2 = e1
| e2 = e3
| op(e0,e2) = e0 ),
inference(resolve,[$cnf( $equal(op(e0,e0),e3) )],[refute_0_1023,refute_0_1015]) ).
cnf(refute_0_1025,plain,
( e2 = e3
| op(e0,e2) = e0 ),
inference(resolve,[$cnf( $equal(e2,e1) )],[refute_0_1024,refute_0_86]) ).
cnf(refute_0_1026,plain,
op(e0,e2) = e0,
inference(resolve,[$cnf( $equal(e2,e3) )],[refute_0_1025,refute_0_88]) ).
cnf(refute_0_1027,plain,
( e0 != op(e2,e2)
| op(e0,e2) != e0
| op(e0,e2) = op(e2,e2) ),
introduced(tautology,[equality,[$cnf( $equal(op(e0,e2),e0) ),[1],$fot(op(e2,e2))]]) ).
cnf(refute_0_1028,plain,
( e0 != op(e2,e2)
| op(e0,e2) = op(e2,e2) ),
inference(resolve,[$cnf( $equal(op(e0,e2),e0) )],[refute_0_1026,refute_0_1027]) ).
cnf(refute_0_1029,plain,
e0 != op(e2,e2),
inference(resolve,[$cnf( $equal(op(e0,e2),op(e2,e2)) )],[refute_0_1028,refute_0_560]) ).
cnf(refute_0_1030,plain,
( op(e2,e2) != e0
| e0 = op(e2,e2) ),
inference(subst,[],[refute_0_42:[bind(X,$fot(op(e2,e2))),bind(Y,$fot(e0))]]) ).
cnf(refute_0_1031,plain,
op(e2,e2) != e0,
inference(resolve,[$cnf( $equal(e0,op(e2,e2)) )],[refute_0_1030,refute_0_1029]) ).
cnf(refute_0_1032,plain,
( op(e1,e1) = e0
| op(e2,e1) = e0 ),
inference(resolve,[$cnf( $equal(op(e2,e2),e0) )],[refute_0_1022,refute_0_1031]) ).
cnf(refute_0_1033,plain,
( op(e1,e2) != e3
| op(e2,e2) != e3
| op(e1,e2) = op(e2,e2) ),
introduced(tautology,[equality,[$cnf( ~ $equal(op(e1,e2),op(e2,e2)) ),[1],$fot(e3)]]) ).
cnf(refute_0_1034,plain,
( op(e1,e2) != e3
| op(e0,e0) = e3
| op(e1,e1) = e3
| op(e1,e2) = op(e2,e2) ),
inference(resolve,[$cnf( $equal(op(e2,e2),e3) )],[refute_0_12,refute_0_1033]) ).
cnf(refute_0_1035,plain,
( op(e1,e2) != e3
| op(e0,e0) = e3
| op(e1,e1) = e3 ),
inference(resolve,[$cnf( $equal(op(e1,e2),op(e2,e2)) )],[refute_0_1034,refute_0_752]) ).
cnf(refute_0_1036,plain,
( op(e1,e2) != e3
| e2 = e3
| op(e1,e1) = e3 ),
inference(resolve,[$cnf( $equal(op(e0,e0),e3) )],[refute_0_1035,refute_0_1015]) ).
cnf(refute_0_1037,plain,
( op(e1,e2) != e3
| op(e1,e1) = e3 ),
inference(resolve,[$cnf( $equal(e2,e3) )],[refute_0_1036,refute_0_88]) ).
cnf(refute_0_1038,plain,
op(e0,e3) != op(e1,e3),
inference(canonicalize,[],[normalize_0_83]) ).
cnf(refute_0_1039,plain,
( op(e1,e0) = e3
| op(e1,e1) = e3
| op(e1,e2) = e3
| op(e1,e3) = e3 ),
inference(canonicalize,[],[normalize_0_84]) ).
cnf(refute_0_1040,plain,
( op(e0,e3) != e3
| op(e1,e3) != e3
| op(e0,e3) = op(e1,e3) ),
introduced(tautology,[equality,[$cnf( ~ $equal(op(e0,e3),op(e1,e3)) ),[1],$fot(e3)]]) ).
cnf(refute_0_1041,plain,
( op(e0,e3) != e3
| op(e0,e3) = op(e1,e3)
| op(e1,e0) = e3
| op(e1,e1) = e3
| op(e1,e2) = e3 ),
inference(resolve,[$cnf( $equal(op(e1,e3),e3) )],[refute_0_1039,refute_0_1040]) ).
cnf(refute_0_1042,plain,
( op(e0,e3) != e3
| op(e1,e0) = e3
| op(e1,e1) = e3
| op(e1,e2) = e3 ),
inference(resolve,[$cnf( $equal(op(e0,e3),op(e1,e3)) )],[refute_0_1041,refute_0_1038]) ).
cnf(refute_0_1043,plain,
op(e0,e1) != op(e0,e3),
inference(canonicalize,[],[normalize_0_85]) ).
cnf(refute_0_1044,plain,
( e1 != op(e0,e3)
| op(e0,e1) != e1
| op(e0,e1) = op(e0,e3) ),
introduced(tautology,[equality,[$cnf( $equal(op(e0,e1),e1) ),[1],$fot(op(e0,e3))]]) ).
cnf(refute_0_1045,plain,
( e1 != op(e0,e3)
| op(e0,e0) = e1
| op(e0,e0) = e3
| op(e0,e1) = op(e0,e3) ),
inference(resolve,[$cnf( $equal(op(e0,e1),e1) )],[refute_0_345,refute_0_1044]) ).
cnf(refute_0_1046,plain,
( e1 != op(e0,e3)
| op(e0,e0) = e1
| op(e0,e0) = e3 ),
inference(resolve,[$cnf( $equal(op(e0,e1),op(e0,e3)) )],[refute_0_1045,refute_0_1043]) ).
cnf(refute_0_1047,plain,
( e0 != op(e0,e3)
| op(e0,e2) != e0
| op(e0,e2) = op(e0,e3) ),
introduced(tautology,[equality,[$cnf( $equal(op(e0,e2),e0) ),[1],$fot(op(e0,e3))]]) ).
cnf(refute_0_1048,plain,
( e0 != op(e0,e3)
| op(e0,e0) = e1
| op(e0,e0) = e3
| op(e0,e2) = op(e0,e3) ),
inference(resolve,[$cnf( $equal(op(e0,e2),e0) )],[refute_0_341,refute_0_1047]) ).
cnf(refute_0_1049,plain,
( e0 != op(e0,e3)
| op(e0,e0) = e1
| op(e0,e0) = e3 ),
inference(resolve,[$cnf( $equal(op(e0,e2),op(e0,e3)) )],[refute_0_1048,refute_0_561]) ).
cnf(refute_0_1050,plain,
op(e0,e0) != op(e0,e3),
inference(canonicalize,[],[normalize_0_86]) ).
cnf(refute_0_1051,plain,
( op(e0,e3) = e0
| op(e0,e3) = e1
| op(e0,e3) = e2
| op(e0,e3) = e3 ),
inference(canonicalize,[],[normalize_0_87]) ).
cnf(refute_0_1052,plain,
( op(e0,e0) != e2
| op(e0,e3) != e2
| op(e0,e0) = op(e0,e3) ),
introduced(tautology,[equality,[$cnf( ~ $equal(op(e0,e0),op(e0,e3)) ),[1],$fot(e2)]]) ).
cnf(refute_0_1053,plain,
( op(e0,e0) != e2
| op(e0,e0) = op(e0,e3)
| op(e0,e3) = e0
| op(e0,e3) = e1
| op(e0,e3) = e3 ),
inference(resolve,[$cnf( $equal(op(e0,e3),e2) )],[refute_0_1051,refute_0_1052]) ).
cnf(refute_0_1054,plain,
( op(e0,e0) != e2
| op(e0,e3) = e0
| op(e0,e3) = e1
| op(e0,e3) = e3 ),
inference(resolve,[$cnf( $equal(op(e0,e0),op(e0,e3)) )],[refute_0_1053,refute_0_1050]) ).
cnf(refute_0_1055,plain,
( e2 != e2
| op(e0,e0) = e1
| op(e0,e0) = e2
| op(e0,e0) = e3 ),
inference(resolve,[$cnf( $equal(op(e0,e0),e2) )],[refute_0_513,refute_0_60]) ).
cnf(refute_0_1056,plain,
( e2 != e2
| op(e0,e0) = e1
| op(e0,e0) = e3
| op(e0,e3) = e0
| op(e0,e3) = e1
| op(e0,e3) = e3 ),
inference(resolve,[$cnf( $equal(op(e0,e0),e2) )],[refute_0_1055,refute_0_1054]) ).
cnf(refute_0_1057,plain,
( op(e0,e0) = e1
| op(e0,e0) = e3
| op(e0,e3) = e0
| op(e0,e3) = e1
| op(e0,e3) = e3 ),
inference(resolve,[$cnf( $equal(e2,e2) )],[refute_0_63,refute_0_1056]) ).
cnf(refute_0_1058,plain,
( e0 != e0
| op(e0,e3) != e0
| e0 = op(e0,e3) ),
introduced(tautology,[equality,[$cnf( ~ $equal(e0,op(e0,e3)) ),[1],$fot(e0)]]) ).
cnf(refute_0_1059,plain,
( e0 != e0
| e0 = op(e0,e3)
| op(e0,e0) = e1
| op(e0,e0) = e3
| op(e0,e3) = e1
| op(e0,e3) = e3 ),
inference(resolve,[$cnf( $equal(op(e0,e3),e0) )],[refute_0_1057,refute_0_1058]) ).
cnf(refute_0_1060,plain,
( e0 != e0
| op(e0,e0) = e1
| op(e0,e0) = e3
| op(e0,e3) = e1
| op(e0,e3) = e3 ),
inference(resolve,[$cnf( $equal(e0,op(e0,e3)) )],[refute_0_1059,refute_0_1049]) ).
cnf(refute_0_1061,plain,
( op(e0,e0) = e1
| op(e0,e0) = e3
| op(e0,e3) = e1
| op(e0,e3) = e3 ),
inference(resolve,[$cnf( $equal(e0,e0) )],[refute_0_10,refute_0_1060]) ).
cnf(refute_0_1062,plain,
( e1 != e1
| e1 = op(e0,e3)
| op(e0,e0) = e1
| op(e0,e0) = e3
| op(e0,e3) = e3 ),
inference(resolve,[$cnf( $equal(op(e0,e3),e1) )],[refute_0_1061,refute_0_90]) ).
cnf(refute_0_1063,plain,
( e1 != e1
| op(e0,e0) = e1
| op(e0,e0) = e3
| op(e0,e3) = e3 ),
inference(resolve,[$cnf( $equal(e1,op(e0,e3)) )],[refute_0_1062,refute_0_1046]) ).
cnf(refute_0_1064,plain,
( op(e0,e0) = e1
| op(e0,e0) = e3
| op(e0,e3) = e3 ),
inference(resolve,[$cnf( $equal(e1,e1) )],[refute_0_22,refute_0_1063]) ).
cnf(refute_0_1065,plain,
( e2 = e1
| op(e0,e0) = e3
| op(e0,e3) = e3 ),
inference(resolve,[$cnf( $equal(op(e0,e0),e1) )],[refute_0_1064,refute_0_1013]) ).
cnf(refute_0_1066,plain,
( e2 = e1
| e2 = e3
| op(e0,e3) = e3 ),
inference(resolve,[$cnf( $equal(op(e0,e0),e3) )],[refute_0_1065,refute_0_1015]) ).
cnf(refute_0_1067,plain,
( e2 = e3
| op(e0,e3) = e3 ),
inference(resolve,[$cnf( $equal(e2,e1) )],[refute_0_1066,refute_0_86]) ).
cnf(refute_0_1068,plain,
op(e0,e3) = e3,
inference(resolve,[$cnf( $equal(e2,e3) )],[refute_0_1067,refute_0_88]) ).
cnf(refute_0_1069,plain,
( e3 != e3
| op(e0,e3) != e3
| op(e0,e3) = e3 ),
introduced(tautology,[equality,[$cnf( $equal(op(e0,e3),e3) ),[0,1],$fot(e3)]]) ).
cnf(refute_0_1070,plain,
( e3 != e3
| op(e0,e3) = e3 ),
inference(resolve,[$cnf( $equal(op(e0,e3),e3) )],[refute_0_1068,refute_0_1069]) ).
cnf(refute_0_1071,plain,
( e3 != e3
| op(e1,e0) = e3
| op(e1,e1) = e3
| op(e1,e2) = e3 ),
inference(resolve,[$cnf( $equal(op(e0,e3),e3) )],[refute_0_1070,refute_0_1042]) ).
cnf(refute_0_1072,plain,
( op(e1,e0) = e3
| op(e1,e1) = e3
| op(e1,e2) = e3 ),
inference(resolve,[$cnf( $equal(e3,e3) )],[refute_0_128,refute_0_1071]) ).
cnf(refute_0_1073,plain,
( e1 != op(op(e0,e0),e0)
| e2 != op(e0,e0)
| e3 != op(op(e0,e0),op(e0,e0)) ),
inference(canonicalize,[],[normalize_0_88]) ).
cnf(refute_0_1074,plain,
op(e2,op(e0,e0)) = op(e2,op(e0,e0)),
introduced(tautology,[refl,[$fot(op(e2,op(e0,e0)))]]) ).
cnf(refute_0_1075,plain,
( op(e0,e0) != e2
| op(e2,op(e0,e0)) != op(e2,op(e0,e0))
| op(e2,op(e0,e0)) = op(e2,e2) ),
introduced(tautology,[equality,[$cnf( $equal(op(e2,op(e0,e0)),op(e2,op(e0,e0))) ),[1,1],$fot(e2)]]) ).
cnf(refute_0_1076,plain,
( op(e0,e0) != e2
| op(e2,op(e0,e0)) = op(e2,e2) ),
inference(resolve,[$cnf( $equal(op(e2,op(e0,e0)),op(e2,op(e0,e0))) )],[refute_0_1074,refute_0_1075]) ).
cnf(refute_0_1077,plain,
( e2 != op(e0,e0)
| op(e2,op(e0,e0)) = op(e2,e2) ),
inference(resolve,[$cnf( $equal(op(e0,e0),e2) )],[refute_0_70,refute_0_1076]) ).
cnf(refute_0_1078,plain,
( op(e0,e0) != e2
| op(op(e0,e0),op(e0,e0)) != op(op(e0,e0),op(e0,e0))
| op(op(e0,e0),op(e0,e0)) = op(e2,op(e0,e0)) ),
introduced(tautology,[equality,[$cnf( $equal(op(op(e0,e0),op(e0,e0)),op(op(e0,e0),op(e0,e0))) ),[1,0],$fot(e2)]]) ).
cnf(refute_0_1079,plain,
( op(e0,e0) != e2
| op(op(e0,e0),op(e0,e0)) = op(e2,op(e0,e0)) ),
inference(resolve,[$cnf( $equal(op(op(e0,e0),op(e0,e0)),op(op(e0,e0),op(e0,e0))) )],[refute_0_361,refute_0_1078]) ).
cnf(refute_0_1080,plain,
( e2 != op(e0,e0)
| op(op(e0,e0),op(e0,e0)) = op(e2,op(e0,e0)) ),
inference(resolve,[$cnf( $equal(op(e0,e0),e2) )],[refute_0_70,refute_0_1079]) ).
cnf(refute_0_1081,plain,
( op(e2,op(e0,e0)) != op(e2,e2)
| op(op(e0,e0),op(e0,e0)) != op(e2,op(e0,e0))
| op(op(e0,e0),op(e0,e0)) = op(e2,e2) ),
inference(subst,[],[refute_0_44:[bind(X,$fot(op(op(e0,e0),op(e0,e0)))),bind(Y,$fot(op(e2,op(e0,e0)))),bind(Z,$fot(op(e2,e2)))]]) ).
cnf(refute_0_1082,plain,
( e2 != op(e0,e0)
| op(e2,op(e0,e0)) != op(e2,e2)
| op(op(e0,e0),op(e0,e0)) = op(e2,e2) ),
inference(resolve,[$cnf( $equal(op(op(e0,e0),op(e0,e0)),op(e2,op(e0,e0))) )],[refute_0_1080,refute_0_1081]) ).
cnf(refute_0_1083,plain,
( e2 != op(e0,e0)
| op(op(e0,e0),op(e0,e0)) = op(e2,e2) ),
inference(resolve,[$cnf( $equal(op(e2,op(e0,e0)),op(e2,e2)) )],[refute_0_1077,refute_0_1082]) ).
cnf(refute_0_1084,plain,
( e3 != op(e2,e2)
| op(op(e0,e0),op(e0,e0)) != op(e2,e2)
| e3 = op(op(e0,e0),op(e0,e0)) ),
introduced(tautology,[equality,[$cnf( ~ $equal(e3,op(op(e0,e0),op(e0,e0))) ),[1],$fot(op(e2,e2))]]) ).
cnf(refute_0_1085,plain,
( e2 != op(e0,e0)
| e3 != op(e2,e2)
| e3 = op(op(e0,e0),op(e0,e0)) ),
inference(resolve,[$cnf( $equal(op(op(e0,e0),op(e0,e0)),op(e2,e2)) )],[refute_0_1083,refute_0_1084]) ).
cnf(refute_0_1086,plain,
( e1 != op(op(e0,e0),e0)
| e2 != op(e0,e0)
| e3 != op(e2,e2) ),
inference(resolve,[$cnf( $equal(e3,op(op(e0,e0),op(e0,e0))) )],[refute_0_1085,refute_0_1073]) ).
cnf(refute_0_1087,plain,
( op(e0,e0) != e2
| op(op(e0,e0),e0) != op(op(e0,e0),e0)
| op(op(e0,e0),e0) = op(e2,e0) ),
introduced(tautology,[equality,[$cnf( $equal(op(op(e0,e0),e0),op(op(e0,e0),e0)) ),[1,0],$fot(e2)]]) ).
cnf(refute_0_1088,plain,
( op(e0,e0) != e2
| op(op(e0,e0),e0) = op(e2,e0) ),
inference(resolve,[$cnf( $equal(op(op(e0,e0),e0),op(op(e0,e0),e0)) )],[refute_0_350,refute_0_1087]) ).
cnf(refute_0_1089,plain,
( e2 != op(e0,e0)
| op(op(e0,e0),e0) = op(e2,e0) ),
inference(resolve,[$cnf( $equal(op(e0,e0),e2) )],[refute_0_70,refute_0_1088]) ).
cnf(refute_0_1090,plain,
( e1 != op(e2,e0)
| op(op(e0,e0),e0) != op(e2,e0)
| e1 = op(op(e0,e0),e0) ),
introduced(tautology,[equality,[$cnf( ~ $equal(e1,op(op(e0,e0),e0)) ),[1],$fot(op(e2,e0))]]) ).
cnf(refute_0_1091,plain,
( e1 != op(e2,e0)
| e2 != op(e0,e0)
| e1 = op(op(e0,e0),e0) ),
inference(resolve,[$cnf( $equal(op(op(e0,e0),e0),op(e2,e0)) )],[refute_0_1089,refute_0_1090]) ).
cnf(refute_0_1092,plain,
( e1 != op(e2,e0)
| e2 != op(e0,e0)
| e3 != op(e2,e2) ),
inference(resolve,[$cnf( $equal(e1,op(op(e0,e0),e0)) )],[refute_0_1091,refute_0_1086]) ).
cnf(refute_0_1093,plain,
( e1 != op(e2,e0)
| e2 != op(e0,e0)
| e3 != e3
| op(e0,e0) = e3
| op(e1,e1) = e3 ),
inference(resolve,[$cnf( $equal(e3,op(e2,e2)) )],[refute_0_126,refute_0_1092]) ).
cnf(refute_0_1094,plain,
( e1 != op(e2,e0)
| e2 != op(e0,e0)
| op(e0,e0) = e3
| op(e1,e1) = e3 ),
inference(resolve,[$cnf( $equal(e3,e3) )],[refute_0_128,refute_0_1093]) ).
cnf(refute_0_1095,plain,
( e1 != op(e2,e0)
| e2 != op(e0,e0)
| e2 = e3
| op(e1,e1) = e3 ),
inference(resolve,[$cnf( $equal(op(e0,e0),e3) )],[refute_0_1094,refute_0_78]) ).
cnf(refute_0_1096,plain,
( e1 != op(e2,e0)
| e2 != op(e0,e0)
| op(e1,e1) = e3 ),
inference(resolve,[$cnf( $equal(e2,e3) )],[refute_0_1095,refute_0_88]) ).
cnf(refute_0_1097,plain,
( e1 != e1
| op(e0,e0) = e1
| op(e1,e0) = e1
| op(e2,e0) = e1
| op(e2,e2) = e1 ),
inference(resolve,[$cnf( $equal(e1,op(e3,e3)) )],[refute_0_297,refute_0_436]) ).
cnf(refute_0_1098,plain,
( op(e0,e0) = e1
| op(e1,e0) = e1
| op(e2,e0) = e1
| op(e2,e2) = e1 ),
inference(resolve,[$cnf( $equal(e1,e1) )],[refute_0_22,refute_0_1097]) ).
cnf(refute_0_1099,plain,
( op(e2,e2) != e3
| e1 = e3
| op(e0,e0) = e1
| op(e1,e0) = e1
| op(e2,e0) = e1 ),
inference(resolve,[$cnf( $equal(op(e2,e2),e1) )],[refute_0_1098,refute_0_24]) ).
cnf(refute_0_1100,plain,
( e1 = e3
| op(e0,e0) = e1
| op(e0,e0) = e3
| op(e1,e0) = e1
| op(e1,e1) = e3
| op(e2,e0) = e1 ),
inference(resolve,[$cnf( $equal(op(e2,e2),e3) )],[refute_0_12,refute_0_1099]) ).
cnf(refute_0_1101,plain,
( op(e0,e0) = e1
| op(e0,e0) = e3
| op(e1,e0) = e1
| op(e1,e1) = e3
| op(e2,e0) = e1 ),
inference(resolve,[$cnf( $equal(e1,e3) )],[refute_0_1100,refute_0_27]) ).
cnf(refute_0_1102,plain,
( e1 != e1
| op(e2,e0) != e1
| e1 = op(e2,e0) ),
introduced(tautology,[equality,[$cnf( ~ $equal(e1,op(e2,e0)) ),[1],$fot(e1)]]) ).
cnf(refute_0_1103,plain,
( e1 != e1
| e1 = op(e2,e0)
| op(e0,e0) = e1
| op(e0,e0) = e3
| op(e1,e0) = e1
| op(e1,e1) = e3 ),
inference(resolve,[$cnf( $equal(op(e2,e0),e1) )],[refute_0_1101,refute_0_1102]) ).
cnf(refute_0_1104,plain,
( e1 != e1
| e2 != op(e0,e0)
| op(e0,e0) = e1
| op(e0,e0) = e3
| op(e1,e0) = e1
| op(e1,e1) = e3 ),
inference(resolve,[$cnf( $equal(e1,op(e2,e0)) )],[refute_0_1103,refute_0_1096]) ).
cnf(refute_0_1105,plain,
( e2 != op(e0,e0)
| op(e0,e0) = e1
| op(e0,e0) = e3
| op(e1,e0) = e1
| op(e1,e1) = e3 ),
inference(resolve,[$cnf( $equal(e1,e1) )],[refute_0_22,refute_0_1104]) ).
cnf(refute_0_1106,plain,
( e2 != op(e0,e0)
| e2 = e1
| op(e0,e0) = e3
| op(e1,e0) = e1
| op(e1,e1) = e3 ),
inference(resolve,[$cnf( $equal(op(e0,e0),e1) )],[refute_0_1105,refute_0_75]) ).
cnf(refute_0_1107,plain,
( e2 != op(e0,e0)
| e2 = e1
| e2 = e3
| op(e1,e0) = e1
| op(e1,e1) = e3 ),
inference(resolve,[$cnf( $equal(op(e0,e0),e3) )],[refute_0_1106,refute_0_78]) ).
cnf(refute_0_1108,plain,
( e2 != op(e0,e0)
| e2 = e3
| op(e1,e0) = e1
| op(e1,e1) = e3 ),
inference(resolve,[$cnf( $equal(e2,e1) )],[refute_0_1107,refute_0_86]) ).
cnf(refute_0_1109,plain,
( e2 != op(e0,e0)
| op(e1,e0) = e1
| op(e1,e1) = e3 ),
inference(resolve,[$cnf( $equal(e2,e3) )],[refute_0_1108,refute_0_88]) ).
cnf(refute_0_1110,plain,
( e2 != e2
| e2 = op(e0,e0)
| op(e0,e0) = e1 ),
inference(resolve,[$cnf( $equal(op(e0,e0),e2) )],[refute_0_777,refute_0_96]) ).
cnf(refute_0_1111,plain,
( e2 != e2
| op(e0,e0) = e1
| op(e1,e0) = e1
| op(e1,e1) = e3 ),
inference(resolve,[$cnf( $equal(e2,op(e0,e0)) )],[refute_0_1110,refute_0_1109]) ).
cnf(refute_0_1112,plain,
( op(e0,e0) = e1
| op(e1,e0) = e1
| op(e1,e1) = e3 ),
inference(resolve,[$cnf( $equal(e2,e2) )],[refute_0_63,refute_0_1111]) ).
cnf(refute_0_1113,plain,
( op(e1,e0) != e3
| op(e0,e0) = e1
| op(e1,e0) = e1
| op(e1,e0) = op(e1,e1) ),
inference(resolve,[$cnf( $equal(op(e1,e1),e3) )],[refute_0_1112,refute_0_902]) ).
cnf(refute_0_1114,plain,
( op(e1,e0) != e3
| op(e0,e0) = e1
| op(e1,e0) = e1 ),
inference(resolve,[$cnf( $equal(op(e1,e0),op(e1,e1)) )],[refute_0_1113,refute_0_523]) ).
cnf(refute_0_1115,plain,
( op(e1,e0) != e3
| e3 = e1
| op(e0,e0) = e1 ),
inference(resolve,[$cnf( $equal(op(e1,e0),e1) )],[refute_0_1114,refute_0_919]) ).
cnf(refute_0_1116,plain,
( op(e1,e0) != e3
| op(e0,e0) = e1 ),
inference(resolve,[$cnf( $equal(e3,e1) )],[refute_0_1115,refute_0_246]) ).
cnf(refute_0_1117,plain,
( op(e1,e0) != e3
| e2 = e1 ),
inference(resolve,[$cnf( $equal(op(e0,e0),e1) )],[refute_0_1116,refute_0_1013]) ).
cnf(refute_0_1118,plain,
op(e1,e0) != e3,
inference(resolve,[$cnf( $equal(e2,e1) )],[refute_0_1117,refute_0_86]) ).
cnf(refute_0_1119,plain,
( op(e1,e1) = e3
| op(e1,e2) = e3 ),
inference(resolve,[$cnf( $equal(op(e1,e0),e3) )],[refute_0_1072,refute_0_1118]) ).
cnf(refute_0_1120,plain,
( e3 != e3
| op(e1,e2) != e3
| op(e1,e2) = e3 ),
introduced(tautology,[equality,[$cnf( $equal(op(e1,e2),e3) ),[1],$fot(e3)]]) ).
cnf(refute_0_1121,plain,
( e3 != e3
| op(e1,e1) = e3
| op(e1,e2) = e3 ),
inference(resolve,[$cnf( $equal(op(e1,e2),e3) )],[refute_0_1119,refute_0_1120]) ).
cnf(refute_0_1122,plain,
( e3 != e3
| op(e1,e1) = e3 ),
inference(resolve,[$cnf( $equal(op(e1,e2),e3) )],[refute_0_1121,refute_0_1037]) ).
cnf(refute_0_1123,plain,
op(e1,e1) = e3,
inference(resolve,[$cnf( $equal(e3,e3) )],[refute_0_128,refute_0_1122]) ).
cnf(refute_0_1124,plain,
( op(e1,e1) != e0
| e3 = e0 ),
inference(resolve,[$cnf( $equal(op(e1,e1),e3) )],[refute_0_1123,refute_0_233]) ).
cnf(refute_0_1125,plain,
( e3 = e0
| op(e2,e1) = e0 ),
inference(resolve,[$cnf( $equal(op(e1,e1),e0) )],[refute_0_1032,refute_0_1124]) ).
cnf(refute_0_1126,plain,
op(e2,e1) = e0,
inference(resolve,[$cnf( $equal(e3,e0) )],[refute_0_1125,refute_0_243]) ).
cnf(refute_0_1127,plain,
( op(e2,e1) != e0
| op(e2,e1) != e3
| e0 = e3 ),
introduced(tautology,[equality,[$cnf( $equal(op(e2,e1),e3) ),[0],$fot(e0)]]) ).
cnf(refute_0_1128,plain,
( op(e2,e1) != e3
| e0 = e3 ),
inference(resolve,[$cnf( $equal(op(e2,e1),e0) )],[refute_0_1126,refute_0_1127]) ).
cnf(refute_0_1129,plain,
( e0 = e3
| op(e2,e0) = e3
| op(e2,e2) = e3
| op(e2,e3) = e3 ),
inference(resolve,[$cnf( $equal(op(e2,e1),e3) )],[refute_0_0,refute_0_1128]) ).
cnf(refute_0_1130,plain,
( op(e1,e1) != e3
| e2 = e1
| op(e2,e2) = e1 ),
inference(resolve,[$cnf( $equal(op(e0,e0),e1) )],[refute_0_221,refute_0_1013]) ).
cnf(refute_0_1131,plain,
( op(e1,e1) != e3
| op(e2,e2) = e1 ),
inference(resolve,[$cnf( $equal(e2,e1) )],[refute_0_1130,refute_0_86]) ).
cnf(refute_0_1132,plain,
( e3 != e3
| op(e2,e2) = e1 ),
inference(resolve,[$cnf( $equal(op(e1,e1),e3) )],[refute_0_1122,refute_0_1131]) ).
cnf(refute_0_1133,plain,
op(e2,e2) = e1,
inference(resolve,[$cnf( $equal(e3,e3) )],[refute_0_128,refute_0_1132]) ).
cnf(refute_0_1134,plain,
( op(e2,e2) != e3
| e1 = e3 ),
inference(resolve,[$cnf( $equal(op(e2,e2),e1) )],[refute_0_1133,refute_0_24]) ).
cnf(refute_0_1135,plain,
( e0 = e3
| e1 = e3
| op(e2,e0) = e3
| op(e2,e3) = e3 ),
inference(resolve,[$cnf( $equal(op(e2,e2),e3) )],[refute_0_1129,refute_0_1134]) ).
cnf(refute_0_1136,plain,
( op(e2,e0) = e2
| op(e2,e1) = e2
| op(e2,e2) = e2
| op(e2,e3) = e2 ),
inference(canonicalize,[],[normalize_0_89]) ).
cnf(refute_0_1137,plain,
( op(e2,e1) != e2
| e0 = e2 ),
inference(resolve,[$cnf( $equal(op(e2,e1),e0) )],[refute_0_1126,refute_0_493]) ).
cnf(refute_0_1138,plain,
( e0 = e2
| op(e2,e0) = e2
| op(e2,e2) = e2
| op(e2,e3) = e2 ),
inference(resolve,[$cnf( $equal(op(e2,e1),e2) )],[refute_0_1136,refute_0_1137]) ).
cnf(refute_0_1139,plain,
( op(e2,e2) != e1
| op(e2,e2) != e2
| e1 = e2 ),
introduced(tautology,[equality,[$cnf( $equal(op(e2,e2),e2) ),[0],$fot(e1)]]) ).
cnf(refute_0_1140,plain,
( op(e2,e2) != e2
| e1 = e2 ),
inference(resolve,[$cnf( $equal(op(e2,e2),e1) )],[refute_0_1133,refute_0_1139]) ).
cnf(refute_0_1141,plain,
( e0 = e2
| e1 = e2
| op(e2,e0) = e2
| op(e2,e3) = e2 ),
inference(resolve,[$cnf( $equal(op(e2,e2),e2) )],[refute_0_1138,refute_0_1140]) ).
cnf(refute_0_1142,plain,
( e1 = e2
| op(e2,e0) = e2
| op(e2,e3) = e2 ),
inference(resolve,[$cnf( $equal(e0,e2) )],[refute_0_1141,refute_0_80]) ).
cnf(refute_0_1143,plain,
( op(e2,e0) = e2
| op(e2,e3) = e2 ),
inference(resolve,[$cnf( $equal(e1,e2) )],[refute_0_1142,refute_0_84]) ).
cnf(refute_0_1144,plain,
op(e0,e0) != op(e2,e0),
inference(canonicalize,[],[normalize_0_90]) ).
cnf(refute_0_1145,plain,
( e2 != op(e2,e0)
| op(e0,e0) != e2
| op(e0,e0) = op(e2,e0) ),
introduced(tautology,[equality,[$cnf( $equal(op(e0,e0),e2) ),[1],$fot(op(e2,e0))]]) ).
cnf(refute_0_1146,plain,
( e2 != op(e2,e0)
| op(e0,e0) = op(e2,e0) ),
inference(resolve,[$cnf( $equal(op(e0,e0),e2) )],[refute_0_1012,refute_0_1145]) ).
cnf(refute_0_1147,plain,
e2 != op(e2,e0),
inference(resolve,[$cnf( $equal(op(e0,e0),op(e2,e0)) )],[refute_0_1146,refute_0_1144]) ).
cnf(refute_0_1148,plain,
( op(e2,e0) != e2
| e2 = op(e2,e0) ),
inference(subst,[],[refute_0_42:[bind(X,$fot(op(e2,e0))),bind(Y,$fot(e2))]]) ).
cnf(refute_0_1149,plain,
op(e2,e0) != e2,
inference(resolve,[$cnf( $equal(e2,op(e2,e0)) )],[refute_0_1148,refute_0_1147]) ).
cnf(refute_0_1150,plain,
op(e2,e3) = e2,
inference(resolve,[$cnf( $equal(op(e2,e0),e2) )],[refute_0_1143,refute_0_1149]) ).
cnf(refute_0_1151,plain,
( op(e2,e3) != e2
| op(e2,e3) != e3
| e2 = e3 ),
introduced(tautology,[equality,[$cnf( $equal(op(e2,e3),e3) ),[0],$fot(e2)]]) ).
cnf(refute_0_1152,plain,
( op(e2,e3) != e3
| e2 = e3 ),
inference(resolve,[$cnf( $equal(op(e2,e3),e2) )],[refute_0_1150,refute_0_1151]) ).
cnf(refute_0_1153,plain,
( e0 = e3
| e1 = e3
| e2 = e3
| op(e2,e0) = e3 ),
inference(resolve,[$cnf( $equal(op(e2,e3),e3) )],[refute_0_1135,refute_0_1152]) ).
cnf(refute_0_1154,plain,
( e1 = e3
| e2 = e3
| op(e2,e0) = e3 ),
inference(resolve,[$cnf( $equal(e0,e3) )],[refute_0_1153,refute_0_137]) ).
cnf(refute_0_1155,plain,
( e2 = e3
| op(e2,e0) = e3 ),
inference(resolve,[$cnf( $equal(e1,e3) )],[refute_0_1154,refute_0_27]) ).
cnf(refute_0_1156,plain,
op(e2,e0) = e3,
inference(resolve,[$cnf( $equal(e2,e3) )],[refute_0_1155,refute_0_88]) ).
cnf(refute_0_1157,plain,
( e1 != op(op(e0,e0),op(e0,e0))
| e2 != op(e0,e0)
| e3 != op(op(e0,e0),e0) ),
inference(canonicalize,[],[normalize_0_91]) ).
cnf(refute_0_1158,plain,
( e3 != op(e2,e0)
| op(op(e0,e0),e0) != op(e2,e0)
| e3 = op(op(e0,e0),e0) ),
introduced(tautology,[equality,[$cnf( ~ $equal(e3,op(op(e0,e0),e0)) ),[1],$fot(op(e2,e0))]]) ).
cnf(refute_0_1159,plain,
( e2 != op(e0,e0)
| e3 != op(e2,e0)
| e3 = op(op(e0,e0),e0) ),
inference(resolve,[$cnf( $equal(op(op(e0,e0),e0),op(e2,e0)) )],[refute_0_1089,refute_0_1158]) ).
cnf(refute_0_1160,plain,
( e1 != op(op(e0,e0),op(e0,e0))
| e2 != op(e0,e0)
| e3 != op(e2,e0) ),
inference(resolve,[$cnf( $equal(e3,op(op(e0,e0),e0)) )],[refute_0_1159,refute_0_1157]) ).
cnf(refute_0_1161,plain,
( e1 != op(e2,e2)
| op(op(e0,e0),op(e0,e0)) != op(e2,e2)
| e1 = op(op(e0,e0),op(e0,e0)) ),
introduced(tautology,[equality,[$cnf( ~ $equal(e1,op(op(e0,e0),op(e0,e0))) ),[1],$fot(op(e2,e2))]]) ).
cnf(refute_0_1162,plain,
( e1 != op(e2,e2)
| e2 != op(e0,e0)
| e1 = op(op(e0,e0),op(e0,e0)) ),
inference(resolve,[$cnf( $equal(op(op(e0,e0),op(e0,e0)),op(e2,e2)) )],[refute_0_1083,refute_0_1161]) ).
cnf(refute_0_1163,plain,
( e1 != op(e2,e2)
| e2 != op(e0,e0)
| e3 != op(e2,e0) ),
inference(resolve,[$cnf( $equal(e1,op(op(e0,e0),op(e0,e0))) )],[refute_0_1162,refute_0_1160]) ).
cnf(refute_0_1164,plain,
( e2 != e2
| e2 = op(e0,e0) ),
inference(resolve,[$cnf( $equal(op(e0,e0),e2) )],[refute_0_1012,refute_0_96]) ).
cnf(refute_0_1165,plain,
( e1 != op(e2,e2)
| e2 != e2
| e3 != op(e2,e0) ),
inference(resolve,[$cnf( $equal(e2,op(e0,e0)) )],[refute_0_1164,refute_0_1163]) ).
cnf(refute_0_1166,plain,
( e1 != op(e2,e2)
| e3 != op(e2,e0) ),
inference(resolve,[$cnf( $equal(e2,e2) )],[refute_0_63,refute_0_1165]) ).
cnf(refute_0_1167,plain,
( e1 != e1
| e1 = op(e2,e2) ),
inference(resolve,[$cnf( $equal(op(e2,e2),e1) )],[refute_0_1133,refute_0_227]) ).
cnf(refute_0_1168,plain,
( e1 != e1
| e3 != op(e2,e0) ),
inference(resolve,[$cnf( $equal(e1,op(e2,e2)) )],[refute_0_1167,refute_0_1166]) ).
cnf(refute_0_1169,plain,
e3 != op(e2,e0),
inference(resolve,[$cnf( $equal(e1,e1) )],[refute_0_22,refute_0_1168]) ).
cnf(refute_0_1170,plain,
( op(e2,e0) != e3
| e3 = op(e2,e0) ),
inference(subst,[],[refute_0_42:[bind(X,$fot(op(e2,e0))),bind(Y,$fot(e3))]]) ).
cnf(refute_0_1171,plain,
op(e2,e0) != e3,
inference(resolve,[$cnf( $equal(e3,op(e2,e0)) )],[refute_0_1170,refute_0_1169]) ).
cnf(refute_0_1172,plain,
$false,
inference(resolve,[$cnf( $equal(op(e2,e0),e3) )],[refute_0_1156,refute_0_1171]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.12 % Problem : ALG139+1 : TPTP v8.1.0. Released v2.7.0.
% 0.06/0.12 % Command : metis --show proof --show saturation %s
% 0.12/0.34 % Computer : n017.cluster.edu
% 0.12/0.34 % Model : x86_64 x86_64
% 0.12/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.34 % Memory : 8042.1875MB
% 0.12/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.34 % CPULimit : 300
% 0.12/0.34 % WCLimit : 600
% 0.12/0.34 % DateTime : Thu Jun 9 06:15:19 EDT 2022
% 0.12/0.34 % CPUTime :
% 0.12/0.34 %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
% 23.21/23.44 % SZS status Unsatisfiable for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 23.21/23.44
% 23.21/23.44 % SZS output start CNFRefutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% See solution above
% 23.36/23.52
%------------------------------------------------------------------------------