TSTP Solution File: ALG064+1 by Metis---2.4
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- Process Solution
%------------------------------------------------------------------------------
% File : Metis---2.4
% Problem : ALG064+1 : TPTP v8.1.0. Released v2.7.0.
% Transfm : none
% Format : tptp:raw
% Command : metis --show proof --show saturation %s
% Computer : n019.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 600s
% DateTime : Thu Jul 14 17:34:53 EDT 2022
% Result : Theorem 3.79s 3.95s
% Output : CNFRefutation 4.10s
% Verified :
% SZS Type : Refutation
% Derivation depth : 66
% Number of leaves : 1001
% Syntax : Number of formulae : 4846 (1932 unt; 0 def)
% Number of atoms : 20499 (20469 equ)
% Maximal formula atoms : 250 ( 4 avg)
% Number of connectives : 23824 (8171 ~;9895 |;5708 &)
% ( 0 <=>; 50 =>; 0 <=; 0 <~>)
% Maximal formula depth : 101 ( 4 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 3 ( 0 usr; 1 prp; 0-2 aty)
% Number of functors : 7 ( 7 usr; 6 con; 0-2 aty)
% Number of variables : 220 ( 0 sgn 0 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(ax1,axiom,
( ( op(e0,e0) = e0
| op(e0,e0) = e1
| op(e0,e0) = e2
| op(e0,e0) = e3
| op(e0,e0) = e4 )
& ( op(e0,e1) = e0
| op(e0,e1) = e1
| op(e0,e1) = e2
| op(e0,e1) = e3
| op(e0,e1) = e4 )
& ( op(e0,e2) = e0
| op(e0,e2) = e1
| op(e0,e2) = e2
| op(e0,e2) = e3
| op(e0,e2) = e4 )
& ( op(e0,e3) = e0
| op(e0,e3) = e1
| op(e0,e3) = e2
| op(e0,e3) = e3
| op(e0,e3) = e4 )
& ( op(e0,e4) = e0
| op(e0,e4) = e1
| op(e0,e4) = e2
| op(e0,e4) = e3
| op(e0,e4) = e4 )
& ( op(e1,e0) = e0
| op(e1,e0) = e1
| op(e1,e0) = e2
| op(e1,e0) = e3
| op(e1,e0) = e4 )
& ( op(e1,e1) = e0
| op(e1,e1) = e1
| op(e1,e1) = e2
| op(e1,e1) = e3
| op(e1,e1) = e4 )
& ( op(e1,e2) = e0
| op(e1,e2) = e1
| op(e1,e2) = e2
| op(e1,e2) = e3
| op(e1,e2) = e4 )
& ( op(e1,e3) = e0
| op(e1,e3) = e1
| op(e1,e3) = e2
| op(e1,e3) = e3
| op(e1,e3) = e4 )
& ( op(e1,e4) = e0
| op(e1,e4) = e1
| op(e1,e4) = e2
| op(e1,e4) = e3
| op(e1,e4) = e4 )
& ( op(e2,e0) = e0
| op(e2,e0) = e1
| op(e2,e0) = e2
| op(e2,e0) = e3
| op(e2,e0) = e4 )
& ( op(e2,e1) = e0
| op(e2,e1) = e1
| op(e2,e1) = e2
| op(e2,e1) = e3
| op(e2,e1) = e4 )
& ( op(e2,e2) = e0
| op(e2,e2) = e1
| op(e2,e2) = e2
| op(e2,e2) = e3
| op(e2,e2) = e4 )
& ( op(e2,e3) = e0
| op(e2,e3) = e1
| op(e2,e3) = e2
| op(e2,e3) = e3
| op(e2,e3) = e4 )
& ( op(e2,e4) = e0
| op(e2,e4) = e1
| op(e2,e4) = e2
| op(e2,e4) = e3
| op(e2,e4) = e4 )
& ( op(e3,e0) = e0
| op(e3,e0) = e1
| op(e3,e0) = e2
| op(e3,e0) = e3
| op(e3,e0) = e4 )
& ( op(e3,e1) = e0
| op(e3,e1) = e1
| op(e3,e1) = e2
| op(e3,e1) = e3
| op(e3,e1) = e4 )
& ( op(e3,e2) = e0
| op(e3,e2) = e1
| op(e3,e2) = e2
| op(e3,e2) = e3
| op(e3,e2) = e4 )
& ( op(e3,e3) = e0
| op(e3,e3) = e1
| op(e3,e3) = e2
| op(e3,e3) = e3
| op(e3,e3) = e4 )
& ( op(e3,e4) = e0
| op(e3,e4) = e1
| op(e3,e4) = e2
| op(e3,e4) = e3
| op(e3,e4) = e4 )
& ( op(e4,e0) = e0
| op(e4,e0) = e1
| op(e4,e0) = e2
| op(e4,e0) = e3
| op(e4,e0) = e4 )
& ( op(e4,e1) = e0
| op(e4,e1) = e1
| op(e4,e1) = e2
| op(e4,e1) = e3
| op(e4,e1) = e4 )
& ( op(e4,e2) = e0
| op(e4,e2) = e1
| op(e4,e2) = e2
| op(e4,e2) = e3
| op(e4,e2) = e4 )
& ( op(e4,e3) = e0
| op(e4,e3) = e1
| op(e4,e3) = e2
| op(e4,e3) = e3
| op(e4,e3) = e4 )
& ( op(e4,e4) = e0
| op(e4,e4) = e1
| op(e4,e4) = e2
| op(e4,e4) = e3
| op(e4,e4) = e4 ) ) ).
fof(ax2,axiom,
( op(unit,e0) = e0
& op(e0,unit) = e0
& op(unit,e1) = e1
& op(e1,unit) = e1
& op(unit,e2) = e2
& op(e2,unit) = e2
& op(unit,e3) = e3
& op(e3,unit) = e3
& op(unit,e4) = e4
& op(e4,unit) = e4
& ( unit = e0
| unit = e1
| unit = e2
| unit = e3
| unit = e4 ) ) ).
fof(ax3,axiom,
( ( op(e0,e0) = e0
| op(e0,e1) = e0
| op(e0,e2) = e0
| op(e0,e3) = e0
| op(e0,e4) = e0 )
& ( op(e0,e0) = e0
| op(e1,e0) = e0
| op(e2,e0) = e0
| op(e3,e0) = e0
| op(e4,e0) = e0 )
& ( op(e0,e0) = e1
| op(e0,e1) = e1
| op(e0,e2) = e1
| op(e0,e3) = e1
| op(e0,e4) = e1 )
& ( op(e0,e0) = e1
| op(e1,e0) = e1
| op(e2,e0) = e1
| op(e3,e0) = e1
| op(e4,e0) = e1 )
& ( op(e0,e0) = e2
| op(e0,e1) = e2
| op(e0,e2) = e2
| op(e0,e3) = e2
| op(e0,e4) = e2 )
& ( op(e0,e0) = e2
| op(e1,e0) = e2
| op(e2,e0) = e2
| op(e3,e0) = e2
| op(e4,e0) = e2 )
& ( op(e0,e0) = e3
| op(e0,e1) = e3
| op(e0,e2) = e3
| op(e0,e3) = e3
| op(e0,e4) = e3 )
& ( op(e0,e0) = e3
| op(e1,e0) = e3
| op(e2,e0) = e3
| op(e3,e0) = e3
| op(e4,e0) = e3 )
& ( op(e0,e0) = e4
| op(e0,e1) = e4
| op(e0,e2) = e4
| op(e0,e3) = e4
| op(e0,e4) = e4 )
& ( op(e0,e0) = e4
| op(e1,e0) = e4
| op(e2,e0) = e4
| op(e3,e0) = e4
| op(e4,e0) = e4 )
& ( op(e1,e0) = e0
| op(e1,e1) = e0
| op(e1,e2) = e0
| op(e1,e3) = e0
| op(e1,e4) = e0 )
& ( op(e0,e1) = e0
| op(e1,e1) = e0
| op(e2,e1) = e0
| op(e3,e1) = e0
| op(e4,e1) = e0 )
& ( op(e1,e0) = e1
| op(e1,e1) = e1
| op(e1,e2) = e1
| op(e1,e3) = e1
| op(e1,e4) = e1 )
& ( op(e0,e1) = e1
| op(e1,e1) = e1
| op(e2,e1) = e1
| op(e3,e1) = e1
| op(e4,e1) = e1 )
& ( op(e1,e0) = e2
| op(e1,e1) = e2
| op(e1,e2) = e2
| op(e1,e3) = e2
| op(e1,e4) = e2 )
& ( op(e0,e1) = e2
| op(e1,e1) = e2
| op(e2,e1) = e2
| op(e3,e1) = e2
| op(e4,e1) = e2 )
& ( op(e1,e0) = e3
| op(e1,e1) = e3
| op(e1,e2) = e3
| op(e1,e3) = e3
| op(e1,e4) = e3 )
& ( op(e0,e1) = e3
| op(e1,e1) = e3
| op(e2,e1) = e3
| op(e3,e1) = e3
| op(e4,e1) = e3 )
& ( op(e1,e0) = e4
| op(e1,e1) = e4
| op(e1,e2) = e4
| op(e1,e3) = e4
| op(e1,e4) = e4 )
& ( op(e0,e1) = e4
| op(e1,e1) = e4
| op(e2,e1) = e4
| op(e3,e1) = e4
| op(e4,e1) = e4 )
& ( op(e2,e0) = e0
| op(e2,e1) = e0
| op(e2,e2) = e0
| op(e2,e3) = e0
| op(e2,e4) = e0 )
& ( op(e0,e2) = e0
| op(e1,e2) = e0
| op(e2,e2) = e0
| op(e3,e2) = e0
| op(e4,e2) = e0 )
& ( op(e2,e0) = e1
| op(e2,e1) = e1
| op(e2,e2) = e1
| op(e2,e3) = e1
| op(e2,e4) = e1 )
& ( op(e0,e2) = e1
| op(e1,e2) = e1
| op(e2,e2) = e1
| op(e3,e2) = e1
| op(e4,e2) = e1 )
& ( op(e2,e0) = e2
| op(e2,e1) = e2
| op(e2,e2) = e2
| op(e2,e3) = e2
| op(e2,e4) = e2 )
& ( op(e0,e2) = e2
| op(e1,e2) = e2
| op(e2,e2) = e2
| op(e3,e2) = e2
| op(e4,e2) = e2 )
& ( op(e2,e0) = e3
| op(e2,e1) = e3
| op(e2,e2) = e3
| op(e2,e3) = e3
| op(e2,e4) = e3 )
& ( op(e0,e2) = e3
| op(e1,e2) = e3
| op(e2,e2) = e3
| op(e3,e2) = e3
| op(e4,e2) = e3 )
& ( op(e2,e0) = e4
| op(e2,e1) = e4
| op(e2,e2) = e4
| op(e2,e3) = e4
| op(e2,e4) = e4 )
& ( op(e0,e2) = e4
| op(e1,e2) = e4
| op(e2,e2) = e4
| op(e3,e2) = e4
| op(e4,e2) = e4 )
& ( op(e3,e0) = e0
| op(e3,e1) = e0
| op(e3,e2) = e0
| op(e3,e3) = e0
| op(e3,e4) = e0 )
& ( op(e0,e3) = e0
| op(e1,e3) = e0
| op(e2,e3) = e0
| op(e3,e3) = e0
| op(e4,e3) = e0 )
& ( op(e3,e0) = e1
| op(e3,e1) = e1
| op(e3,e2) = e1
| op(e3,e3) = e1
| op(e3,e4) = e1 )
& ( op(e0,e3) = e1
| op(e1,e3) = e1
| op(e2,e3) = e1
| op(e3,e3) = e1
| op(e4,e3) = e1 )
& ( op(e3,e0) = e2
| op(e3,e1) = e2
| op(e3,e2) = e2
| op(e3,e3) = e2
| op(e3,e4) = e2 )
& ( op(e0,e3) = e2
| op(e1,e3) = e2
| op(e2,e3) = e2
| op(e3,e3) = e2
| op(e4,e3) = e2 )
& ( op(e3,e0) = e3
| op(e3,e1) = e3
| op(e3,e2) = e3
| op(e3,e3) = e3
| op(e3,e4) = e3 )
& ( op(e0,e3) = e3
| op(e1,e3) = e3
| op(e2,e3) = e3
| op(e3,e3) = e3
| op(e4,e3) = e3 )
& ( op(e3,e0) = e4
| op(e3,e1) = e4
| op(e3,e2) = e4
| op(e3,e3) = e4
| op(e3,e4) = e4 )
& ( op(e0,e3) = e4
| op(e1,e3) = e4
| op(e2,e3) = e4
| op(e3,e3) = e4
| op(e4,e3) = e4 )
& ( op(e4,e0) = e0
| op(e4,e1) = e0
| op(e4,e2) = e0
| op(e4,e3) = e0
| op(e4,e4) = e0 )
& ( op(e0,e4) = e0
| op(e1,e4) = e0
| op(e2,e4) = e0
| op(e3,e4) = e0
| op(e4,e4) = e0 )
& ( op(e4,e0) = e1
| op(e4,e1) = e1
| op(e4,e2) = e1
| op(e4,e3) = e1
| op(e4,e4) = e1 )
& ( op(e0,e4) = e1
| op(e1,e4) = e1
| op(e2,e4) = e1
| op(e3,e4) = e1
| op(e4,e4) = e1 )
& ( op(e4,e0) = e2
| op(e4,e1) = e2
| op(e4,e2) = e2
| op(e4,e3) = e2
| op(e4,e4) = e2 )
& ( op(e0,e4) = e2
| op(e1,e4) = e2
| op(e2,e4) = e2
| op(e3,e4) = e2
| op(e4,e4) = e2 )
& ( op(e4,e0) = e3
| op(e4,e1) = e3
| op(e4,e2) = e3
| op(e4,e3) = e3
| op(e4,e4) = e3 )
& ( op(e0,e4) = e3
| op(e1,e4) = e3
| op(e2,e4) = e3
| op(e3,e4) = e3
| op(e4,e4) = e3 )
& ( op(e4,e0) = e4
| op(e4,e1) = e4
| op(e4,e2) = e4
| op(e4,e3) = e4
| op(e4,e4) = e4 )
& ( op(e0,e4) = e4
| op(e1,e4) = e4
| op(e2,e4) = e4
| op(e3,e4) = e4
| op(e4,e4) = e4 ) ) ).
fof(ax4,axiom,
( op(e0,e0) != op(e1,e0)
& op(e0,e0) != op(e2,e0)
& op(e0,e0) != op(e3,e0)
& op(e0,e0) != op(e4,e0)
& op(e1,e0) != op(e2,e0)
& op(e1,e0) != op(e3,e0)
& op(e1,e0) != op(e4,e0)
& op(e2,e0) != op(e3,e0)
& op(e2,e0) != op(e4,e0)
& op(e3,e0) != op(e4,e0)
& op(e0,e1) != op(e1,e1)
& op(e0,e1) != op(e2,e1)
& op(e0,e1) != op(e3,e1)
& op(e0,e1) != op(e4,e1)
& op(e1,e1) != op(e2,e1)
& op(e1,e1) != op(e3,e1)
& op(e1,e1) != op(e4,e1)
& op(e2,e1) != op(e3,e1)
& op(e2,e1) != op(e4,e1)
& op(e3,e1) != op(e4,e1)
& op(e0,e2) != op(e1,e2)
& op(e0,e2) != op(e2,e2)
& op(e0,e2) != op(e3,e2)
& op(e0,e2) != op(e4,e2)
& op(e1,e2) != op(e2,e2)
& op(e1,e2) != op(e3,e2)
& op(e1,e2) != op(e4,e2)
& op(e2,e2) != op(e3,e2)
& op(e2,e2) != op(e4,e2)
& op(e3,e2) != op(e4,e2)
& op(e0,e3) != op(e1,e3)
& op(e0,e3) != op(e2,e3)
& op(e0,e3) != op(e3,e3)
& op(e0,e3) != op(e4,e3)
& op(e1,e3) != op(e2,e3)
& op(e1,e3) != op(e3,e3)
& op(e1,e3) != op(e4,e3)
& op(e2,e3) != op(e3,e3)
& op(e2,e3) != op(e4,e3)
& op(e3,e3) != op(e4,e3)
& op(e0,e4) != op(e1,e4)
& op(e0,e4) != op(e2,e4)
& op(e0,e4) != op(e3,e4)
& op(e0,e4) != op(e4,e4)
& op(e1,e4) != op(e2,e4)
& op(e1,e4) != op(e3,e4)
& op(e1,e4) != op(e4,e4)
& op(e2,e4) != op(e3,e4)
& op(e2,e4) != op(e4,e4)
& op(e3,e4) != op(e4,e4)
& op(e0,e0) != op(e0,e1)
& op(e0,e0) != op(e0,e2)
& op(e0,e0) != op(e0,e3)
& op(e0,e0) != op(e0,e4)
& op(e0,e1) != op(e0,e2)
& op(e0,e1) != op(e0,e3)
& op(e0,e1) != op(e0,e4)
& op(e0,e2) != op(e0,e3)
& op(e0,e2) != op(e0,e4)
& op(e0,e3) != op(e0,e4)
& op(e1,e0) != op(e1,e1)
& op(e1,e0) != op(e1,e2)
& op(e1,e0) != op(e1,e3)
& op(e1,e0) != op(e1,e4)
& op(e1,e1) != op(e1,e2)
& op(e1,e1) != op(e1,e3)
& op(e1,e1) != op(e1,e4)
& op(e1,e2) != op(e1,e3)
& op(e1,e2) != op(e1,e4)
& op(e1,e3) != op(e1,e4)
& op(e2,e0) != op(e2,e1)
& op(e2,e0) != op(e2,e2)
& op(e2,e0) != op(e2,e3)
& op(e2,e0) != op(e2,e4)
& op(e2,e1) != op(e2,e2)
& op(e2,e1) != op(e2,e3)
& op(e2,e1) != op(e2,e4)
& op(e2,e2) != op(e2,e3)
& op(e2,e2) != op(e2,e4)
& op(e2,e3) != op(e2,e4)
& op(e3,e0) != op(e3,e1)
& op(e3,e0) != op(e3,e2)
& op(e3,e0) != op(e3,e3)
& op(e3,e0) != op(e3,e4)
& op(e3,e1) != op(e3,e2)
& op(e3,e1) != op(e3,e3)
& op(e3,e1) != op(e3,e4)
& op(e3,e2) != op(e3,e3)
& op(e3,e2) != op(e3,e4)
& op(e3,e3) != op(e3,e4)
& op(e4,e0) != op(e4,e1)
& op(e4,e0) != op(e4,e2)
& op(e4,e0) != op(e4,e3)
& op(e4,e0) != op(e4,e4)
& op(e4,e1) != op(e4,e2)
& op(e4,e1) != op(e4,e3)
& op(e4,e1) != op(e4,e4)
& op(e4,e2) != op(e4,e3)
& op(e4,e2) != op(e4,e4)
& op(e4,e3) != op(e4,e4) ) ).
fof(ax5,axiom,
( e0 != e1
& e0 != e2
& e0 != e3
& e0 != e4
& e1 != e2
& e1 != e3
& e1 != e4
& e2 != e3
& e2 != e4
& e3 != e4 ) ).
fof(ax6,axiom,
( e0 = op(e1,op(op(e1,e1),op(e1,e1)))
& e2 = op(op(e1,e1),op(e1,e1))
& e3 = op(op(op(e1,e1),op(e1,e1)),op(op(e1,e1),op(e1,e1)))
& e4 = op(e1,e1) ) ).
fof(co1,conjecture,
~ ( ( op(e0,e0) = e0
| op(e1,e1) = e0
| op(e2,e2) = e0
| op(e3,e3) = e0
| op(e4,e4) = e0 )
& ( op(e0,e0) = e1
| op(e1,e1) = e1
| op(e2,e2) = e1
| op(e3,e3) = e1
| op(e4,e4) = e1 )
& ( op(e0,e0) = e2
| op(e1,e1) = e2
| op(e2,e2) = e2
| op(e3,e3) = e2
| op(e4,e4) = e2 )
& ( op(e0,e0) = e3
| op(e1,e1) = e3
| op(e2,e2) = e3
| op(e3,e3) = e3
| op(e4,e4) = e3 )
& ( op(e0,e0) = e4
| op(e1,e1) = e4
| op(e2,e2) = e4
| op(e3,e3) = e4
| op(e4,e4) = e4 )
& ( ( op(e0,e0) != op(e0,e0)
& op(op(e0,e0),e0) = e0
& op(op(e0,e0),e0) != e0 )
| ( op(e1,e0) != op(e0,e1)
& op(op(e0,e1),e1) = e0
& op(op(e0,e1),e0) != e1 )
| ( op(e2,e0) != op(e0,e2)
& op(op(e0,e2),e2) = e0
& op(op(e0,e2),e0) != e2 )
| ( op(e3,e0) != op(e0,e3)
& op(op(e0,e3),e3) = e0
& op(op(e0,e3),e0) != e3 )
| ( op(e4,e0) != op(e0,e4)
& op(op(e0,e4),e4) = e0
& op(op(e0,e4),e0) != e4 )
| ( op(e0,e1) != op(e1,e0)
& op(op(e1,e0),e0) = e1
& op(op(e1,e0),e1) != e0 )
| ( op(e1,e1) != op(e1,e1)
& op(op(e1,e1),e1) = e1
& op(op(e1,e1),e1) != e1 )
| ( op(e2,e1) != op(e1,e2)
& op(op(e1,e2),e2) = e1
& op(op(e1,e2),e1) != e2 )
| ( op(e3,e1) != op(e1,e3)
& op(op(e1,e3),e3) = e1
& op(op(e1,e3),e1) != e3 )
| ( op(e4,e1) != op(e1,e4)
& op(op(e1,e4),e4) = e1
& op(op(e1,e4),e1) != e4 )
| ( op(e0,e2) != op(e2,e0)
& op(op(e2,e0),e0) = e2
& op(op(e2,e0),e2) != e0 )
| ( op(e1,e2) != op(e2,e1)
& op(op(e2,e1),e1) = e2
& op(op(e2,e1),e2) != e1 )
| ( op(e2,e2) != op(e2,e2)
& op(op(e2,e2),e2) = e2
& op(op(e2,e2),e2) != e2 )
| ( op(e3,e2) != op(e2,e3)
& op(op(e2,e3),e3) = e2
& op(op(e2,e3),e2) != e3 )
| ( op(e4,e2) != op(e2,e4)
& op(op(e2,e4),e4) = e2
& op(op(e2,e4),e2) != e4 )
| ( op(e0,e3) != op(e3,e0)
& op(op(e3,e0),e0) = e3
& op(op(e3,e0),e3) != e0 )
| ( op(e1,e3) != op(e3,e1)
& op(op(e3,e1),e1) = e3
& op(op(e3,e1),e3) != e1 )
| ( op(e2,e3) != op(e3,e2)
& op(op(e3,e2),e2) = e3
& op(op(e3,e2),e3) != e2 )
| ( op(e3,e3) != op(e3,e3)
& op(op(e3,e3),e3) = e3
& op(op(e3,e3),e3) != e3 )
| ( op(e4,e3) != op(e3,e4)
& op(op(e3,e4),e4) = e3
& op(op(e3,e4),e3) != e4 )
| ( op(e0,e4) != op(e4,e0)
& op(op(e4,e0),e0) = e4
& op(op(e4,e0),e4) != e0 )
| ( op(e1,e4) != op(e4,e1)
& op(op(e4,e1),e1) = e4
& op(op(e4,e1),e4) != e1 )
| ( op(e2,e4) != op(e4,e2)
& op(op(e4,e2),e2) = e4
& op(op(e4,e2),e4) != e2 )
| ( op(e3,e4) != op(e4,e3)
& op(op(e4,e3),e3) = e4
& op(op(e4,e3),e4) != e3 )
| ( op(e4,e4) != op(e4,e4)
& op(op(e4,e4),e4) = e4
& op(op(e4,e4),e4) != e4 ) ) ) ).
fof(subgoal_0,plain,
( ( ( op(e0,e0) = e0
| op(e1,e1) = e0
| op(e2,e2) = e0
| op(e3,e3) = e0
| op(e4,e4) = e0 )
& ( op(e0,e0) = e1
| op(e1,e1) = e1
| op(e2,e2) = e1
| op(e3,e3) = e1
| op(e4,e4) = e1 )
& ( op(e0,e0) = e2
| op(e1,e1) = e2
| op(e2,e2) = e2
| op(e3,e3) = e2
| op(e4,e4) = e2 )
& ( op(e0,e0) = e3
| op(e1,e1) = e3
| op(e2,e2) = e3
| op(e3,e3) = e3
| op(e4,e4) = e3 )
& ( op(e0,e0) = e4
| op(e1,e1) = e4
| op(e2,e2) = e4
| op(e3,e3) = e4
| op(e4,e4) = e4 )
& op(e0,e0) != op(e0,e0)
& op(op(e0,e0),e0) = e0 )
=> op(op(e0,e0),e0) = e0 ),
inference(strip,[],[co1]) ).
fof(subgoal_1,plain,
( ( ( op(e0,e0) = e0
| op(e1,e1) = e0
| op(e2,e2) = e0
| op(e3,e3) = e0
| op(e4,e4) = e0 )
& ( op(e0,e0) = e1
| op(e1,e1) = e1
| op(e2,e2) = e1
| op(e3,e3) = e1
| op(e4,e4) = e1 )
& ( op(e0,e0) = e2
| op(e1,e1) = e2
| op(e2,e2) = e2
| op(e3,e3) = e2
| op(e4,e4) = e2 )
& ( op(e0,e0) = e3
| op(e1,e1) = e3
| op(e2,e2) = e3
| op(e3,e3) = e3
| op(e4,e4) = e3 )
& ( op(e0,e0) = e4
| op(e1,e1) = e4
| op(e2,e2) = e4
| op(e3,e3) = e4
| op(e4,e4) = e4 )
& ~ ( op(e0,e0) != op(e0,e0)
& op(op(e0,e0),e0) = e0
& op(op(e0,e0),e0) != e0 )
& op(e1,e0) != op(e0,e1)
& op(op(e0,e1),e1) = e0 )
=> op(op(e0,e1),e0) = e1 ),
inference(strip,[],[co1]) ).
fof(subgoal_2,plain,
( ( ( op(e0,e0) = e0
| op(e1,e1) = e0
| op(e2,e2) = e0
| op(e3,e3) = e0
| op(e4,e4) = e0 )
& ( op(e0,e0) = e1
| op(e1,e1) = e1
| op(e2,e2) = e1
| op(e3,e3) = e1
| op(e4,e4) = e1 )
& ( op(e0,e0) = e2
| op(e1,e1) = e2
| op(e2,e2) = e2
| op(e3,e3) = e2
| op(e4,e4) = e2 )
& ( op(e0,e0) = e3
| op(e1,e1) = e3
| op(e2,e2) = e3
| op(e3,e3) = e3
| op(e4,e4) = e3 )
& ( op(e0,e0) = e4
| op(e1,e1) = e4
| op(e2,e2) = e4
| op(e3,e3) = e4
| op(e4,e4) = e4 )
& ~ ( op(e0,e0) != op(e0,e0)
& op(op(e0,e0),e0) = e0
& op(op(e0,e0),e0) != e0 )
& ~ ( op(e1,e0) != op(e0,e1)
& op(op(e0,e1),e1) = e0
& op(op(e0,e1),e0) != e1 )
& op(e2,e0) != op(e0,e2)
& op(op(e0,e2),e2) = e0 )
=> op(op(e0,e2),e0) = e2 ),
inference(strip,[],[co1]) ).
fof(subgoal_3,plain,
( ( ( op(e0,e0) = e0
| op(e1,e1) = e0
| op(e2,e2) = e0
| op(e3,e3) = e0
| op(e4,e4) = e0 )
& ( op(e0,e0) = e1
| op(e1,e1) = e1
| op(e2,e2) = e1
| op(e3,e3) = e1
| op(e4,e4) = e1 )
& ( op(e0,e0) = e2
| op(e1,e1) = e2
| op(e2,e2) = e2
| op(e3,e3) = e2
| op(e4,e4) = e2 )
& ( op(e0,e0) = e3
| op(e1,e1) = e3
| op(e2,e2) = e3
| op(e3,e3) = e3
| op(e4,e4) = e3 )
& ( op(e0,e0) = e4
| op(e1,e1) = e4
| op(e2,e2) = e4
| op(e3,e3) = e4
| op(e4,e4) = e4 )
& ~ ( op(e0,e0) != op(e0,e0)
& op(op(e0,e0),e0) = e0
& op(op(e0,e0),e0) != e0 )
& ~ ( op(e1,e0) != op(e0,e1)
& op(op(e0,e1),e1) = e0
& op(op(e0,e1),e0) != e1 )
& ~ ( op(e2,e0) != op(e0,e2)
& op(op(e0,e2),e2) = e0
& op(op(e0,e2),e0) != e2 )
& op(e3,e0) != op(e0,e3)
& op(op(e0,e3),e3) = e0 )
=> op(op(e0,e3),e0) = e3 ),
inference(strip,[],[co1]) ).
fof(subgoal_4,plain,
( ( ( op(e0,e0) = e0
| op(e1,e1) = e0
| op(e2,e2) = e0
| op(e3,e3) = e0
| op(e4,e4) = e0 )
& ( op(e0,e0) = e1
| op(e1,e1) = e1
| op(e2,e2) = e1
| op(e3,e3) = e1
| op(e4,e4) = e1 )
& ( op(e0,e0) = e2
| op(e1,e1) = e2
| op(e2,e2) = e2
| op(e3,e3) = e2
| op(e4,e4) = e2 )
& ( op(e0,e0) = e3
| op(e1,e1) = e3
| op(e2,e2) = e3
| op(e3,e3) = e3
| op(e4,e4) = e3 )
& ( op(e0,e0) = e4
| op(e1,e1) = e4
| op(e2,e2) = e4
| op(e3,e3) = e4
| op(e4,e4) = e4 )
& ~ ( op(e0,e0) != op(e0,e0)
& op(op(e0,e0),e0) = e0
& op(op(e0,e0),e0) != e0 )
& ~ ( op(e1,e0) != op(e0,e1)
& op(op(e0,e1),e1) = e0
& op(op(e0,e1),e0) != e1 )
& ~ ( op(e2,e0) != op(e0,e2)
& op(op(e0,e2),e2) = e0
& op(op(e0,e2),e0) != e2 )
& ~ ( op(e3,e0) != op(e0,e3)
& op(op(e0,e3),e3) = e0
& op(op(e0,e3),e0) != e3 )
& op(e4,e0) != op(e0,e4)
& op(op(e0,e4),e4) = e0 )
=> op(op(e0,e4),e0) = e4 ),
inference(strip,[],[co1]) ).
fof(subgoal_5,plain,
( ( ( op(e0,e0) = e0
| op(e1,e1) = e0
| op(e2,e2) = e0
| op(e3,e3) = e0
| op(e4,e4) = e0 )
& ( op(e0,e0) = e1
| op(e1,e1) = e1
| op(e2,e2) = e1
| op(e3,e3) = e1
| op(e4,e4) = e1 )
& ( op(e0,e0) = e2
| op(e1,e1) = e2
| op(e2,e2) = e2
| op(e3,e3) = e2
| op(e4,e4) = e2 )
& ( op(e0,e0) = e3
| op(e1,e1) = e3
| op(e2,e2) = e3
| op(e3,e3) = e3
| op(e4,e4) = e3 )
& ( op(e0,e0) = e4
| op(e1,e1) = e4
| op(e2,e2) = e4
| op(e3,e3) = e4
| op(e4,e4) = e4 )
& ~ ( op(e0,e0) != op(e0,e0)
& op(op(e0,e0),e0) = e0
& op(op(e0,e0),e0) != e0 )
& ~ ( op(e1,e0) != op(e0,e1)
& op(op(e0,e1),e1) = e0
& op(op(e0,e1),e0) != e1 )
& ~ ( op(e2,e0) != op(e0,e2)
& op(op(e0,e2),e2) = e0
& op(op(e0,e2),e0) != e2 )
& ~ ( op(e3,e0) != op(e0,e3)
& op(op(e0,e3),e3) = e0
& op(op(e0,e3),e0) != e3 )
& ~ ( op(e4,e0) != op(e0,e4)
& op(op(e0,e4),e4) = e0
& op(op(e0,e4),e0) != e4 )
& op(e0,e1) != op(e1,e0)
& op(op(e1,e0),e0) = e1 )
=> op(op(e1,e0),e1) = e0 ),
inference(strip,[],[co1]) ).
fof(subgoal_6,plain,
( ( ( op(e0,e0) = e0
| op(e1,e1) = e0
| op(e2,e2) = e0
| op(e3,e3) = e0
| op(e4,e4) = e0 )
& ( op(e0,e0) = e1
| op(e1,e1) = e1
| op(e2,e2) = e1
| op(e3,e3) = e1
| op(e4,e4) = e1 )
& ( op(e0,e0) = e2
| op(e1,e1) = e2
| op(e2,e2) = e2
| op(e3,e3) = e2
| op(e4,e4) = e2 )
& ( op(e0,e0) = e3
| op(e1,e1) = e3
| op(e2,e2) = e3
| op(e3,e3) = e3
| op(e4,e4) = e3 )
& ( op(e0,e0) = e4
| op(e1,e1) = e4
| op(e2,e2) = e4
| op(e3,e3) = e4
| op(e4,e4) = e4 )
& ~ ( op(e0,e0) != op(e0,e0)
& op(op(e0,e0),e0) = e0
& op(op(e0,e0),e0) != e0 )
& ~ ( op(e1,e0) != op(e0,e1)
& op(op(e0,e1),e1) = e0
& op(op(e0,e1),e0) != e1 )
& ~ ( op(e2,e0) != op(e0,e2)
& op(op(e0,e2),e2) = e0
& op(op(e0,e2),e0) != e2 )
& ~ ( op(e3,e0) != op(e0,e3)
& op(op(e0,e3),e3) = e0
& op(op(e0,e3),e0) != e3 )
& ~ ( op(e4,e0) != op(e0,e4)
& op(op(e0,e4),e4) = e0
& op(op(e0,e4),e0) != e4 )
& ~ ( op(e0,e1) != op(e1,e0)
& op(op(e1,e0),e0) = e1
& op(op(e1,e0),e1) != e0 )
& op(e1,e1) != op(e1,e1)
& op(op(e1,e1),e1) = e1 )
=> op(op(e1,e1),e1) = e1 ),
inference(strip,[],[co1]) ).
fof(subgoal_7,plain,
( ( ( op(e0,e0) = e0
| op(e1,e1) = e0
| op(e2,e2) = e0
| op(e3,e3) = e0
| op(e4,e4) = e0 )
& ( op(e0,e0) = e1
| op(e1,e1) = e1
| op(e2,e2) = e1
| op(e3,e3) = e1
| op(e4,e4) = e1 )
& ( op(e0,e0) = e2
| op(e1,e1) = e2
| op(e2,e2) = e2
| op(e3,e3) = e2
| op(e4,e4) = e2 )
& ( op(e0,e0) = e3
| op(e1,e1) = e3
| op(e2,e2) = e3
| op(e3,e3) = e3
| op(e4,e4) = e3 )
& ( op(e0,e0) = e4
| op(e1,e1) = e4
| op(e2,e2) = e4
| op(e3,e3) = e4
| op(e4,e4) = e4 )
& ~ ( op(e0,e0) != op(e0,e0)
& op(op(e0,e0),e0) = e0
& op(op(e0,e0),e0) != e0 )
& ~ ( op(e1,e0) != op(e0,e1)
& op(op(e0,e1),e1) = e0
& op(op(e0,e1),e0) != e1 )
& ~ ( op(e2,e0) != op(e0,e2)
& op(op(e0,e2),e2) = e0
& op(op(e0,e2),e0) != e2 )
& ~ ( op(e3,e0) != op(e0,e3)
& op(op(e0,e3),e3) = e0
& op(op(e0,e3),e0) != e3 )
& ~ ( op(e4,e0) != op(e0,e4)
& op(op(e0,e4),e4) = e0
& op(op(e0,e4),e0) != e4 )
& ~ ( op(e0,e1) != op(e1,e0)
& op(op(e1,e0),e0) = e1
& op(op(e1,e0),e1) != e0 )
& ~ ( op(e1,e1) != op(e1,e1)
& op(op(e1,e1),e1) = e1
& op(op(e1,e1),e1) != e1 )
& op(e2,e1) != op(e1,e2)
& op(op(e1,e2),e2) = e1 )
=> op(op(e1,e2),e1) = e2 ),
inference(strip,[],[co1]) ).
fof(subgoal_8,plain,
( ( ( op(e0,e0) = e0
| op(e1,e1) = e0
| op(e2,e2) = e0
| op(e3,e3) = e0
| op(e4,e4) = e0 )
& ( op(e0,e0) = e1
| op(e1,e1) = e1
| op(e2,e2) = e1
| op(e3,e3) = e1
| op(e4,e4) = e1 )
& ( op(e0,e0) = e2
| op(e1,e1) = e2
| op(e2,e2) = e2
| op(e3,e3) = e2
| op(e4,e4) = e2 )
& ( op(e0,e0) = e3
| op(e1,e1) = e3
| op(e2,e2) = e3
| op(e3,e3) = e3
| op(e4,e4) = e3 )
& ( op(e0,e0) = e4
| op(e1,e1) = e4
| op(e2,e2) = e4
| op(e3,e3) = e4
| op(e4,e4) = e4 )
& ~ ( op(e0,e0) != op(e0,e0)
& op(op(e0,e0),e0) = e0
& op(op(e0,e0),e0) != e0 )
& ~ ( op(e1,e0) != op(e0,e1)
& op(op(e0,e1),e1) = e0
& op(op(e0,e1),e0) != e1 )
& ~ ( op(e2,e0) != op(e0,e2)
& op(op(e0,e2),e2) = e0
& op(op(e0,e2),e0) != e2 )
& ~ ( op(e3,e0) != op(e0,e3)
& op(op(e0,e3),e3) = e0
& op(op(e0,e3),e0) != e3 )
& ~ ( op(e4,e0) != op(e0,e4)
& op(op(e0,e4),e4) = e0
& op(op(e0,e4),e0) != e4 )
& ~ ( op(e0,e1) != op(e1,e0)
& op(op(e1,e0),e0) = e1
& op(op(e1,e0),e1) != e0 )
& ~ ( op(e1,e1) != op(e1,e1)
& op(op(e1,e1),e1) = e1
& op(op(e1,e1),e1) != e1 )
& ~ ( op(e2,e1) != op(e1,e2)
& op(op(e1,e2),e2) = e1
& op(op(e1,e2),e1) != e2 )
& op(e3,e1) != op(e1,e3)
& op(op(e1,e3),e3) = e1 )
=> op(op(e1,e3),e1) = e3 ),
inference(strip,[],[co1]) ).
fof(subgoal_9,plain,
( ( ( op(e0,e0) = e0
| op(e1,e1) = e0
| op(e2,e2) = e0
| op(e3,e3) = e0
| op(e4,e4) = e0 )
& ( op(e0,e0) = e1
| op(e1,e1) = e1
| op(e2,e2) = e1
| op(e3,e3) = e1
| op(e4,e4) = e1 )
& ( op(e0,e0) = e2
| op(e1,e1) = e2
| op(e2,e2) = e2
| op(e3,e3) = e2
| op(e4,e4) = e2 )
& ( op(e0,e0) = e3
| op(e1,e1) = e3
| op(e2,e2) = e3
| op(e3,e3) = e3
| op(e4,e4) = e3 )
& ( op(e0,e0) = e4
| op(e1,e1) = e4
| op(e2,e2) = e4
| op(e3,e3) = e4
| op(e4,e4) = e4 )
& ~ ( op(e0,e0) != op(e0,e0)
& op(op(e0,e0),e0) = e0
& op(op(e0,e0),e0) != e0 )
& ~ ( op(e1,e0) != op(e0,e1)
& op(op(e0,e1),e1) = e0
& op(op(e0,e1),e0) != e1 )
& ~ ( op(e2,e0) != op(e0,e2)
& op(op(e0,e2),e2) = e0
& op(op(e0,e2),e0) != e2 )
& ~ ( op(e3,e0) != op(e0,e3)
& op(op(e0,e3),e3) = e0
& op(op(e0,e3),e0) != e3 )
& ~ ( op(e4,e0) != op(e0,e4)
& op(op(e0,e4),e4) = e0
& op(op(e0,e4),e0) != e4 )
& ~ ( op(e0,e1) != op(e1,e0)
& op(op(e1,e0),e0) = e1
& op(op(e1,e0),e1) != e0 )
& ~ ( op(e1,e1) != op(e1,e1)
& op(op(e1,e1),e1) = e1
& op(op(e1,e1),e1) != e1 )
& ~ ( op(e2,e1) != op(e1,e2)
& op(op(e1,e2),e2) = e1
& op(op(e1,e2),e1) != e2 )
& ~ ( op(e3,e1) != op(e1,e3)
& op(op(e1,e3),e3) = e1
& op(op(e1,e3),e1) != e3 )
& op(e4,e1) != op(e1,e4)
& op(op(e1,e4),e4) = e1 )
=> op(op(e1,e4),e1) = e4 ),
inference(strip,[],[co1]) ).
fof(subgoal_10,plain,
( ( ( op(e0,e0) = e0
| op(e1,e1) = e0
| op(e2,e2) = e0
| op(e3,e3) = e0
| op(e4,e4) = e0 )
& ( op(e0,e0) = e1
| op(e1,e1) = e1
| op(e2,e2) = e1
| op(e3,e3) = e1
| op(e4,e4) = e1 )
& ( op(e0,e0) = e2
| op(e1,e1) = e2
| op(e2,e2) = e2
| op(e3,e3) = e2
| op(e4,e4) = e2 )
& ( op(e0,e0) = e3
| op(e1,e1) = e3
| op(e2,e2) = e3
| op(e3,e3) = e3
| op(e4,e4) = e3 )
& ( op(e0,e0) = e4
| op(e1,e1) = e4
| op(e2,e2) = e4
| op(e3,e3) = e4
| op(e4,e4) = e4 )
& ~ ( op(e0,e0) != op(e0,e0)
& op(op(e0,e0),e0) = e0
& op(op(e0,e0),e0) != e0 )
& ~ ( op(e1,e0) != op(e0,e1)
& op(op(e0,e1),e1) = e0
& op(op(e0,e1),e0) != e1 )
& ~ ( op(e2,e0) != op(e0,e2)
& op(op(e0,e2),e2) = e0
& op(op(e0,e2),e0) != e2 )
& ~ ( op(e3,e0) != op(e0,e3)
& op(op(e0,e3),e3) = e0
& op(op(e0,e3),e0) != e3 )
& ~ ( op(e4,e0) != op(e0,e4)
& op(op(e0,e4),e4) = e0
& op(op(e0,e4),e0) != e4 )
& ~ ( op(e0,e1) != op(e1,e0)
& op(op(e1,e0),e0) = e1
& op(op(e1,e0),e1) != e0 )
& ~ ( op(e1,e1) != op(e1,e1)
& op(op(e1,e1),e1) = e1
& op(op(e1,e1),e1) != e1 )
& ~ ( op(e2,e1) != op(e1,e2)
& op(op(e1,e2),e2) = e1
& op(op(e1,e2),e1) != e2 )
& ~ ( op(e3,e1) != op(e1,e3)
& op(op(e1,e3),e3) = e1
& op(op(e1,e3),e1) != e3 )
& ~ ( op(e4,e1) != op(e1,e4)
& op(op(e1,e4),e4) = e1
& op(op(e1,e4),e1) != e4 )
& op(e0,e2) != op(e2,e0)
& op(op(e2,e0),e0) = e2 )
=> op(op(e2,e0),e2) = e0 ),
inference(strip,[],[co1]) ).
fof(subgoal_11,plain,
( ( ( op(e0,e0) = e0
| op(e1,e1) = e0
| op(e2,e2) = e0
| op(e3,e3) = e0
| op(e4,e4) = e0 )
& ( op(e0,e0) = e1
| op(e1,e1) = e1
| op(e2,e2) = e1
| op(e3,e3) = e1
| op(e4,e4) = e1 )
& ( op(e0,e0) = e2
| op(e1,e1) = e2
| op(e2,e2) = e2
| op(e3,e3) = e2
| op(e4,e4) = e2 )
& ( op(e0,e0) = e3
| op(e1,e1) = e3
| op(e2,e2) = e3
| op(e3,e3) = e3
| op(e4,e4) = e3 )
& ( op(e0,e0) = e4
| op(e1,e1) = e4
| op(e2,e2) = e4
| op(e3,e3) = e4
| op(e4,e4) = e4 )
& ~ ( op(e0,e0) != op(e0,e0)
& op(op(e0,e0),e0) = e0
& op(op(e0,e0),e0) != e0 )
& ~ ( op(e1,e0) != op(e0,e1)
& op(op(e0,e1),e1) = e0
& op(op(e0,e1),e0) != e1 )
& ~ ( op(e2,e0) != op(e0,e2)
& op(op(e0,e2),e2) = e0
& op(op(e0,e2),e0) != e2 )
& ~ ( op(e3,e0) != op(e0,e3)
& op(op(e0,e3),e3) = e0
& op(op(e0,e3),e0) != e3 )
& ~ ( op(e4,e0) != op(e0,e4)
& op(op(e0,e4),e4) = e0
& op(op(e0,e4),e0) != e4 )
& ~ ( op(e0,e1) != op(e1,e0)
& op(op(e1,e0),e0) = e1
& op(op(e1,e0),e1) != e0 )
& ~ ( op(e1,e1) != op(e1,e1)
& op(op(e1,e1),e1) = e1
& op(op(e1,e1),e1) != e1 )
& ~ ( op(e2,e1) != op(e1,e2)
& op(op(e1,e2),e2) = e1
& op(op(e1,e2),e1) != e2 )
& ~ ( op(e3,e1) != op(e1,e3)
& op(op(e1,e3),e3) = e1
& op(op(e1,e3),e1) != e3 )
& ~ ( op(e4,e1) != op(e1,e4)
& op(op(e1,e4),e4) = e1
& op(op(e1,e4),e1) != e4 )
& ~ ( op(e0,e2) != op(e2,e0)
& op(op(e2,e0),e0) = e2
& op(op(e2,e0),e2) != e0 )
& op(e1,e2) != op(e2,e1)
& op(op(e2,e1),e1) = e2 )
=> op(op(e2,e1),e2) = e1 ),
inference(strip,[],[co1]) ).
fof(subgoal_12,plain,
( ( ( op(e0,e0) = e0
| op(e1,e1) = e0
| op(e2,e2) = e0
| op(e3,e3) = e0
| op(e4,e4) = e0 )
& ( op(e0,e0) = e1
| op(e1,e1) = e1
| op(e2,e2) = e1
| op(e3,e3) = e1
| op(e4,e4) = e1 )
& ( op(e0,e0) = e2
| op(e1,e1) = e2
| op(e2,e2) = e2
| op(e3,e3) = e2
| op(e4,e4) = e2 )
& ( op(e0,e0) = e3
| op(e1,e1) = e3
| op(e2,e2) = e3
| op(e3,e3) = e3
| op(e4,e4) = e3 )
& ( op(e0,e0) = e4
| op(e1,e1) = e4
| op(e2,e2) = e4
| op(e3,e3) = e4
| op(e4,e4) = e4 )
& ~ ( op(e0,e0) != op(e0,e0)
& op(op(e0,e0),e0) = e0
& op(op(e0,e0),e0) != e0 )
& ~ ( op(e1,e0) != op(e0,e1)
& op(op(e0,e1),e1) = e0
& op(op(e0,e1),e0) != e1 )
& ~ ( op(e2,e0) != op(e0,e2)
& op(op(e0,e2),e2) = e0
& op(op(e0,e2),e0) != e2 )
& ~ ( op(e3,e0) != op(e0,e3)
& op(op(e0,e3),e3) = e0
& op(op(e0,e3),e0) != e3 )
& ~ ( op(e4,e0) != op(e0,e4)
& op(op(e0,e4),e4) = e0
& op(op(e0,e4),e0) != e4 )
& ~ ( op(e0,e1) != op(e1,e0)
& op(op(e1,e0),e0) = e1
& op(op(e1,e0),e1) != e0 )
& ~ ( op(e1,e1) != op(e1,e1)
& op(op(e1,e1),e1) = e1
& op(op(e1,e1),e1) != e1 )
& ~ ( op(e2,e1) != op(e1,e2)
& op(op(e1,e2),e2) = e1
& op(op(e1,e2),e1) != e2 )
& ~ ( op(e3,e1) != op(e1,e3)
& op(op(e1,e3),e3) = e1
& op(op(e1,e3),e1) != e3 )
& ~ ( op(e4,e1) != op(e1,e4)
& op(op(e1,e4),e4) = e1
& op(op(e1,e4),e1) != e4 )
& ~ ( op(e0,e2) != op(e2,e0)
& op(op(e2,e0),e0) = e2
& op(op(e2,e0),e2) != e0 )
& ~ ( op(e1,e2) != op(e2,e1)
& op(op(e2,e1),e1) = e2
& op(op(e2,e1),e2) != e1 )
& op(e2,e2) != op(e2,e2)
& op(op(e2,e2),e2) = e2 )
=> op(op(e2,e2),e2) = e2 ),
inference(strip,[],[co1]) ).
fof(subgoal_13,plain,
( ( ( op(e0,e0) = e0
| op(e1,e1) = e0
| op(e2,e2) = e0
| op(e3,e3) = e0
| op(e4,e4) = e0 )
& ( op(e0,e0) = e1
| op(e1,e1) = e1
| op(e2,e2) = e1
| op(e3,e3) = e1
| op(e4,e4) = e1 )
& ( op(e0,e0) = e2
| op(e1,e1) = e2
| op(e2,e2) = e2
| op(e3,e3) = e2
| op(e4,e4) = e2 )
& ( op(e0,e0) = e3
| op(e1,e1) = e3
| op(e2,e2) = e3
| op(e3,e3) = e3
| op(e4,e4) = e3 )
& ( op(e0,e0) = e4
| op(e1,e1) = e4
| op(e2,e2) = e4
| op(e3,e3) = e4
| op(e4,e4) = e4 )
& ~ ( op(e0,e0) != op(e0,e0)
& op(op(e0,e0),e0) = e0
& op(op(e0,e0),e0) != e0 )
& ~ ( op(e1,e0) != op(e0,e1)
& op(op(e0,e1),e1) = e0
& op(op(e0,e1),e0) != e1 )
& ~ ( op(e2,e0) != op(e0,e2)
& op(op(e0,e2),e2) = e0
& op(op(e0,e2),e0) != e2 )
& ~ ( op(e3,e0) != op(e0,e3)
& op(op(e0,e3),e3) = e0
& op(op(e0,e3),e0) != e3 )
& ~ ( op(e4,e0) != op(e0,e4)
& op(op(e0,e4),e4) = e0
& op(op(e0,e4),e0) != e4 )
& ~ ( op(e0,e1) != op(e1,e0)
& op(op(e1,e0),e0) = e1
& op(op(e1,e0),e1) != e0 )
& ~ ( op(e1,e1) != op(e1,e1)
& op(op(e1,e1),e1) = e1
& op(op(e1,e1),e1) != e1 )
& ~ ( op(e2,e1) != op(e1,e2)
& op(op(e1,e2),e2) = e1
& op(op(e1,e2),e1) != e2 )
& ~ ( op(e3,e1) != op(e1,e3)
& op(op(e1,e3),e3) = e1
& op(op(e1,e3),e1) != e3 )
& ~ ( op(e4,e1) != op(e1,e4)
& op(op(e1,e4),e4) = e1
& op(op(e1,e4),e1) != e4 )
& ~ ( op(e0,e2) != op(e2,e0)
& op(op(e2,e0),e0) = e2
& op(op(e2,e0),e2) != e0 )
& ~ ( op(e1,e2) != op(e2,e1)
& op(op(e2,e1),e1) = e2
& op(op(e2,e1),e2) != e1 )
& ~ ( op(e2,e2) != op(e2,e2)
& op(op(e2,e2),e2) = e2
& op(op(e2,e2),e2) != e2 )
& op(e3,e2) != op(e2,e3)
& op(op(e2,e3),e3) = e2 )
=> op(op(e2,e3),e2) = e3 ),
inference(strip,[],[co1]) ).
fof(subgoal_14,plain,
( ( ( op(e0,e0) = e0
| op(e1,e1) = e0
| op(e2,e2) = e0
| op(e3,e3) = e0
| op(e4,e4) = e0 )
& ( op(e0,e0) = e1
| op(e1,e1) = e1
| op(e2,e2) = e1
| op(e3,e3) = e1
| op(e4,e4) = e1 )
& ( op(e0,e0) = e2
| op(e1,e1) = e2
| op(e2,e2) = e2
| op(e3,e3) = e2
| op(e4,e4) = e2 )
& ( op(e0,e0) = e3
| op(e1,e1) = e3
| op(e2,e2) = e3
| op(e3,e3) = e3
| op(e4,e4) = e3 )
& ( op(e0,e0) = e4
| op(e1,e1) = e4
| op(e2,e2) = e4
| op(e3,e3) = e4
| op(e4,e4) = e4 )
& ~ ( op(e0,e0) != op(e0,e0)
& op(op(e0,e0),e0) = e0
& op(op(e0,e0),e0) != e0 )
& ~ ( op(e1,e0) != op(e0,e1)
& op(op(e0,e1),e1) = e0
& op(op(e0,e1),e0) != e1 )
& ~ ( op(e2,e0) != op(e0,e2)
& op(op(e0,e2),e2) = e0
& op(op(e0,e2),e0) != e2 )
& ~ ( op(e3,e0) != op(e0,e3)
& op(op(e0,e3),e3) = e0
& op(op(e0,e3),e0) != e3 )
& ~ ( op(e4,e0) != op(e0,e4)
& op(op(e0,e4),e4) = e0
& op(op(e0,e4),e0) != e4 )
& ~ ( op(e0,e1) != op(e1,e0)
& op(op(e1,e0),e0) = e1
& op(op(e1,e0),e1) != e0 )
& ~ ( op(e1,e1) != op(e1,e1)
& op(op(e1,e1),e1) = e1
& op(op(e1,e1),e1) != e1 )
& ~ ( op(e2,e1) != op(e1,e2)
& op(op(e1,e2),e2) = e1
& op(op(e1,e2),e1) != e2 )
& ~ ( op(e3,e1) != op(e1,e3)
& op(op(e1,e3),e3) = e1
& op(op(e1,e3),e1) != e3 )
& ~ ( op(e4,e1) != op(e1,e4)
& op(op(e1,e4),e4) = e1
& op(op(e1,e4),e1) != e4 )
& ~ ( op(e0,e2) != op(e2,e0)
& op(op(e2,e0),e0) = e2
& op(op(e2,e0),e2) != e0 )
& ~ ( op(e1,e2) != op(e2,e1)
& op(op(e2,e1),e1) = e2
& op(op(e2,e1),e2) != e1 )
& ~ ( op(e2,e2) != op(e2,e2)
& op(op(e2,e2),e2) = e2
& op(op(e2,e2),e2) != e2 )
& ~ ( op(e3,e2) != op(e2,e3)
& op(op(e2,e3),e3) = e2
& op(op(e2,e3),e2) != e3 )
& op(e4,e2) != op(e2,e4)
& op(op(e2,e4),e4) = e2 )
=> op(op(e2,e4),e2) = e4 ),
inference(strip,[],[co1]) ).
fof(subgoal_15,plain,
( ( ( op(e0,e0) = e0
| op(e1,e1) = e0
| op(e2,e2) = e0
| op(e3,e3) = e0
| op(e4,e4) = e0 )
& ( op(e0,e0) = e1
| op(e1,e1) = e1
| op(e2,e2) = e1
| op(e3,e3) = e1
| op(e4,e4) = e1 )
& ( op(e0,e0) = e2
| op(e1,e1) = e2
| op(e2,e2) = e2
| op(e3,e3) = e2
| op(e4,e4) = e2 )
& ( op(e0,e0) = e3
| op(e1,e1) = e3
| op(e2,e2) = e3
| op(e3,e3) = e3
| op(e4,e4) = e3 )
& ( op(e0,e0) = e4
| op(e1,e1) = e4
| op(e2,e2) = e4
| op(e3,e3) = e4
| op(e4,e4) = e4 )
& ~ ( op(e0,e0) != op(e0,e0)
& op(op(e0,e0),e0) = e0
& op(op(e0,e0),e0) != e0 )
& ~ ( op(e1,e0) != op(e0,e1)
& op(op(e0,e1),e1) = e0
& op(op(e0,e1),e0) != e1 )
& ~ ( op(e2,e0) != op(e0,e2)
& op(op(e0,e2),e2) = e0
& op(op(e0,e2),e0) != e2 )
& ~ ( op(e3,e0) != op(e0,e3)
& op(op(e0,e3),e3) = e0
& op(op(e0,e3),e0) != e3 )
& ~ ( op(e4,e0) != op(e0,e4)
& op(op(e0,e4),e4) = e0
& op(op(e0,e4),e0) != e4 )
& ~ ( op(e0,e1) != op(e1,e0)
& op(op(e1,e0),e0) = e1
& op(op(e1,e0),e1) != e0 )
& ~ ( op(e1,e1) != op(e1,e1)
& op(op(e1,e1),e1) = e1
& op(op(e1,e1),e1) != e1 )
& ~ ( op(e2,e1) != op(e1,e2)
& op(op(e1,e2),e2) = e1
& op(op(e1,e2),e1) != e2 )
& ~ ( op(e3,e1) != op(e1,e3)
& op(op(e1,e3),e3) = e1
& op(op(e1,e3),e1) != e3 )
& ~ ( op(e4,e1) != op(e1,e4)
& op(op(e1,e4),e4) = e1
& op(op(e1,e4),e1) != e4 )
& ~ ( op(e0,e2) != op(e2,e0)
& op(op(e2,e0),e0) = e2
& op(op(e2,e0),e2) != e0 )
& ~ ( op(e1,e2) != op(e2,e1)
& op(op(e2,e1),e1) = e2
& op(op(e2,e1),e2) != e1 )
& ~ ( op(e2,e2) != op(e2,e2)
& op(op(e2,e2),e2) = e2
& op(op(e2,e2),e2) != e2 )
& ~ ( op(e3,e2) != op(e2,e3)
& op(op(e2,e3),e3) = e2
& op(op(e2,e3),e2) != e3 )
& ~ ( op(e4,e2) != op(e2,e4)
& op(op(e2,e4),e4) = e2
& op(op(e2,e4),e2) != e4 )
& op(e0,e3) != op(e3,e0)
& op(op(e3,e0),e0) = e3 )
=> op(op(e3,e0),e3) = e0 ),
inference(strip,[],[co1]) ).
fof(subgoal_16,plain,
( ( ( op(e0,e0) = e0
| op(e1,e1) = e0
| op(e2,e2) = e0
| op(e3,e3) = e0
| op(e4,e4) = e0 )
& ( op(e0,e0) = e1
| op(e1,e1) = e1
| op(e2,e2) = e1
| op(e3,e3) = e1
| op(e4,e4) = e1 )
& ( op(e0,e0) = e2
| op(e1,e1) = e2
| op(e2,e2) = e2
| op(e3,e3) = e2
| op(e4,e4) = e2 )
& ( op(e0,e0) = e3
| op(e1,e1) = e3
| op(e2,e2) = e3
| op(e3,e3) = e3
| op(e4,e4) = e3 )
& ( op(e0,e0) = e4
| op(e1,e1) = e4
| op(e2,e2) = e4
| op(e3,e3) = e4
| op(e4,e4) = e4 )
& ~ ( op(e0,e0) != op(e0,e0)
& op(op(e0,e0),e0) = e0
& op(op(e0,e0),e0) != e0 )
& ~ ( op(e1,e0) != op(e0,e1)
& op(op(e0,e1),e1) = e0
& op(op(e0,e1),e0) != e1 )
& ~ ( op(e2,e0) != op(e0,e2)
& op(op(e0,e2),e2) = e0
& op(op(e0,e2),e0) != e2 )
& ~ ( op(e3,e0) != op(e0,e3)
& op(op(e0,e3),e3) = e0
& op(op(e0,e3),e0) != e3 )
& ~ ( op(e4,e0) != op(e0,e4)
& op(op(e0,e4),e4) = e0
& op(op(e0,e4),e0) != e4 )
& ~ ( op(e0,e1) != op(e1,e0)
& op(op(e1,e0),e0) = e1
& op(op(e1,e0),e1) != e0 )
& ~ ( op(e1,e1) != op(e1,e1)
& op(op(e1,e1),e1) = e1
& op(op(e1,e1),e1) != e1 )
& ~ ( op(e2,e1) != op(e1,e2)
& op(op(e1,e2),e2) = e1
& op(op(e1,e2),e1) != e2 )
& ~ ( op(e3,e1) != op(e1,e3)
& op(op(e1,e3),e3) = e1
& op(op(e1,e3),e1) != e3 )
& ~ ( op(e4,e1) != op(e1,e4)
& op(op(e1,e4),e4) = e1
& op(op(e1,e4),e1) != e4 )
& ~ ( op(e0,e2) != op(e2,e0)
& op(op(e2,e0),e0) = e2
& op(op(e2,e0),e2) != e0 )
& ~ ( op(e1,e2) != op(e2,e1)
& op(op(e2,e1),e1) = e2
& op(op(e2,e1),e2) != e1 )
& ~ ( op(e2,e2) != op(e2,e2)
& op(op(e2,e2),e2) = e2
& op(op(e2,e2),e2) != e2 )
& ~ ( op(e3,e2) != op(e2,e3)
& op(op(e2,e3),e3) = e2
& op(op(e2,e3),e2) != e3 )
& ~ ( op(e4,e2) != op(e2,e4)
& op(op(e2,e4),e4) = e2
& op(op(e2,e4),e2) != e4 )
& ~ ( op(e0,e3) != op(e3,e0)
& op(op(e3,e0),e0) = e3
& op(op(e3,e0),e3) != e0 )
& op(e1,e3) != op(e3,e1)
& op(op(e3,e1),e1) = e3 )
=> op(op(e3,e1),e3) = e1 ),
inference(strip,[],[co1]) ).
fof(subgoal_17,plain,
( ( ( op(e0,e0) = e0
| op(e1,e1) = e0
| op(e2,e2) = e0
| op(e3,e3) = e0
| op(e4,e4) = e0 )
& ( op(e0,e0) = e1
| op(e1,e1) = e1
| op(e2,e2) = e1
| op(e3,e3) = e1
| op(e4,e4) = e1 )
& ( op(e0,e0) = e2
| op(e1,e1) = e2
| op(e2,e2) = e2
| op(e3,e3) = e2
| op(e4,e4) = e2 )
& ( op(e0,e0) = e3
| op(e1,e1) = e3
| op(e2,e2) = e3
| op(e3,e3) = e3
| op(e4,e4) = e3 )
& ( op(e0,e0) = e4
| op(e1,e1) = e4
| op(e2,e2) = e4
| op(e3,e3) = e4
| op(e4,e4) = e4 )
& ~ ( op(e0,e0) != op(e0,e0)
& op(op(e0,e0),e0) = e0
& op(op(e0,e0),e0) != e0 )
& ~ ( op(e1,e0) != op(e0,e1)
& op(op(e0,e1),e1) = e0
& op(op(e0,e1),e0) != e1 )
& ~ ( op(e2,e0) != op(e0,e2)
& op(op(e0,e2),e2) = e0
& op(op(e0,e2),e0) != e2 )
& ~ ( op(e3,e0) != op(e0,e3)
& op(op(e0,e3),e3) = e0
& op(op(e0,e3),e0) != e3 )
& ~ ( op(e4,e0) != op(e0,e4)
& op(op(e0,e4),e4) = e0
& op(op(e0,e4),e0) != e4 )
& ~ ( op(e0,e1) != op(e1,e0)
& op(op(e1,e0),e0) = e1
& op(op(e1,e0),e1) != e0 )
& ~ ( op(e1,e1) != op(e1,e1)
& op(op(e1,e1),e1) = e1
& op(op(e1,e1),e1) != e1 )
& ~ ( op(e2,e1) != op(e1,e2)
& op(op(e1,e2),e2) = e1
& op(op(e1,e2),e1) != e2 )
& ~ ( op(e3,e1) != op(e1,e3)
& op(op(e1,e3),e3) = e1
& op(op(e1,e3),e1) != e3 )
& ~ ( op(e4,e1) != op(e1,e4)
& op(op(e1,e4),e4) = e1
& op(op(e1,e4),e1) != e4 )
& ~ ( op(e0,e2) != op(e2,e0)
& op(op(e2,e0),e0) = e2
& op(op(e2,e0),e2) != e0 )
& ~ ( op(e1,e2) != op(e2,e1)
& op(op(e2,e1),e1) = e2
& op(op(e2,e1),e2) != e1 )
& ~ ( op(e2,e2) != op(e2,e2)
& op(op(e2,e2),e2) = e2
& op(op(e2,e2),e2) != e2 )
& ~ ( op(e3,e2) != op(e2,e3)
& op(op(e2,e3),e3) = e2
& op(op(e2,e3),e2) != e3 )
& ~ ( op(e4,e2) != op(e2,e4)
& op(op(e2,e4),e4) = e2
& op(op(e2,e4),e2) != e4 )
& ~ ( op(e0,e3) != op(e3,e0)
& op(op(e3,e0),e0) = e3
& op(op(e3,e0),e3) != e0 )
& ~ ( op(e1,e3) != op(e3,e1)
& op(op(e3,e1),e1) = e3
& op(op(e3,e1),e3) != e1 )
& op(e2,e3) != op(e3,e2)
& op(op(e3,e2),e2) = e3 )
=> op(op(e3,e2),e3) = e2 ),
inference(strip,[],[co1]) ).
fof(subgoal_18,plain,
( ( ( op(e0,e0) = e0
| op(e1,e1) = e0
| op(e2,e2) = e0
| op(e3,e3) = e0
| op(e4,e4) = e0 )
& ( op(e0,e0) = e1
| op(e1,e1) = e1
| op(e2,e2) = e1
| op(e3,e3) = e1
| op(e4,e4) = e1 )
& ( op(e0,e0) = e2
| op(e1,e1) = e2
| op(e2,e2) = e2
| op(e3,e3) = e2
| op(e4,e4) = e2 )
& ( op(e0,e0) = e3
| op(e1,e1) = e3
| op(e2,e2) = e3
| op(e3,e3) = e3
| op(e4,e4) = e3 )
& ( op(e0,e0) = e4
| op(e1,e1) = e4
| op(e2,e2) = e4
| op(e3,e3) = e4
| op(e4,e4) = e4 )
& ~ ( op(e0,e0) != op(e0,e0)
& op(op(e0,e0),e0) = e0
& op(op(e0,e0),e0) != e0 )
& ~ ( op(e1,e0) != op(e0,e1)
& op(op(e0,e1),e1) = e0
& op(op(e0,e1),e0) != e1 )
& ~ ( op(e2,e0) != op(e0,e2)
& op(op(e0,e2),e2) = e0
& op(op(e0,e2),e0) != e2 )
& ~ ( op(e3,e0) != op(e0,e3)
& op(op(e0,e3),e3) = e0
& op(op(e0,e3),e0) != e3 )
& ~ ( op(e4,e0) != op(e0,e4)
& op(op(e0,e4),e4) = e0
& op(op(e0,e4),e0) != e4 )
& ~ ( op(e0,e1) != op(e1,e0)
& op(op(e1,e0),e0) = e1
& op(op(e1,e0),e1) != e0 )
& ~ ( op(e1,e1) != op(e1,e1)
& op(op(e1,e1),e1) = e1
& op(op(e1,e1),e1) != e1 )
& ~ ( op(e2,e1) != op(e1,e2)
& op(op(e1,e2),e2) = e1
& op(op(e1,e2),e1) != e2 )
& ~ ( op(e3,e1) != op(e1,e3)
& op(op(e1,e3),e3) = e1
& op(op(e1,e3),e1) != e3 )
& ~ ( op(e4,e1) != op(e1,e4)
& op(op(e1,e4),e4) = e1
& op(op(e1,e4),e1) != e4 )
& ~ ( op(e0,e2) != op(e2,e0)
& op(op(e2,e0),e0) = e2
& op(op(e2,e0),e2) != e0 )
& ~ ( op(e1,e2) != op(e2,e1)
& op(op(e2,e1),e1) = e2
& op(op(e2,e1),e2) != e1 )
& ~ ( op(e2,e2) != op(e2,e2)
& op(op(e2,e2),e2) = e2
& op(op(e2,e2),e2) != e2 )
& ~ ( op(e3,e2) != op(e2,e3)
& op(op(e2,e3),e3) = e2
& op(op(e2,e3),e2) != e3 )
& ~ ( op(e4,e2) != op(e2,e4)
& op(op(e2,e4),e4) = e2
& op(op(e2,e4),e2) != e4 )
& ~ ( op(e0,e3) != op(e3,e0)
& op(op(e3,e0),e0) = e3
& op(op(e3,e0),e3) != e0 )
& ~ ( op(e1,e3) != op(e3,e1)
& op(op(e3,e1),e1) = e3
& op(op(e3,e1),e3) != e1 )
& ~ ( op(e2,e3) != op(e3,e2)
& op(op(e3,e2),e2) = e3
& op(op(e3,e2),e3) != e2 )
& op(e3,e3) != op(e3,e3)
& op(op(e3,e3),e3) = e3 )
=> op(op(e3,e3),e3) = e3 ),
inference(strip,[],[co1]) ).
fof(subgoal_19,plain,
( ( ( op(e0,e0) = e0
| op(e1,e1) = e0
| op(e2,e2) = e0
| op(e3,e3) = e0
| op(e4,e4) = e0 )
& ( op(e0,e0) = e1
| op(e1,e1) = e1
| op(e2,e2) = e1
| op(e3,e3) = e1
| op(e4,e4) = e1 )
& ( op(e0,e0) = e2
| op(e1,e1) = e2
| op(e2,e2) = e2
| op(e3,e3) = e2
| op(e4,e4) = e2 )
& ( op(e0,e0) = e3
| op(e1,e1) = e3
| op(e2,e2) = e3
| op(e3,e3) = e3
| op(e4,e4) = e3 )
& ( op(e0,e0) = e4
| op(e1,e1) = e4
| op(e2,e2) = e4
| op(e3,e3) = e4
| op(e4,e4) = e4 )
& ~ ( op(e0,e0) != op(e0,e0)
& op(op(e0,e0),e0) = e0
& op(op(e0,e0),e0) != e0 )
& ~ ( op(e1,e0) != op(e0,e1)
& op(op(e0,e1),e1) = e0
& op(op(e0,e1),e0) != e1 )
& ~ ( op(e2,e0) != op(e0,e2)
& op(op(e0,e2),e2) = e0
& op(op(e0,e2),e0) != e2 )
& ~ ( op(e3,e0) != op(e0,e3)
& op(op(e0,e3),e3) = e0
& op(op(e0,e3),e0) != e3 )
& ~ ( op(e4,e0) != op(e0,e4)
& op(op(e0,e4),e4) = e0
& op(op(e0,e4),e0) != e4 )
& ~ ( op(e0,e1) != op(e1,e0)
& op(op(e1,e0),e0) = e1
& op(op(e1,e0),e1) != e0 )
& ~ ( op(e1,e1) != op(e1,e1)
& op(op(e1,e1),e1) = e1
& op(op(e1,e1),e1) != e1 )
& ~ ( op(e2,e1) != op(e1,e2)
& op(op(e1,e2),e2) = e1
& op(op(e1,e2),e1) != e2 )
& ~ ( op(e3,e1) != op(e1,e3)
& op(op(e1,e3),e3) = e1
& op(op(e1,e3),e1) != e3 )
& ~ ( op(e4,e1) != op(e1,e4)
& op(op(e1,e4),e4) = e1
& op(op(e1,e4),e1) != e4 )
& ~ ( op(e0,e2) != op(e2,e0)
& op(op(e2,e0),e0) = e2
& op(op(e2,e0),e2) != e0 )
& ~ ( op(e1,e2) != op(e2,e1)
& op(op(e2,e1),e1) = e2
& op(op(e2,e1),e2) != e1 )
& ~ ( op(e2,e2) != op(e2,e2)
& op(op(e2,e2),e2) = e2
& op(op(e2,e2),e2) != e2 )
& ~ ( op(e3,e2) != op(e2,e3)
& op(op(e2,e3),e3) = e2
& op(op(e2,e3),e2) != e3 )
& ~ ( op(e4,e2) != op(e2,e4)
& op(op(e2,e4),e4) = e2
& op(op(e2,e4),e2) != e4 )
& ~ ( op(e0,e3) != op(e3,e0)
& op(op(e3,e0),e0) = e3
& op(op(e3,e0),e3) != e0 )
& ~ ( op(e1,e3) != op(e3,e1)
& op(op(e3,e1),e1) = e3
& op(op(e3,e1),e3) != e1 )
& ~ ( op(e2,e3) != op(e3,e2)
& op(op(e3,e2),e2) = e3
& op(op(e3,e2),e3) != e2 )
& ~ ( op(e3,e3) != op(e3,e3)
& op(op(e3,e3),e3) = e3
& op(op(e3,e3),e3) != e3 )
& op(e4,e3) != op(e3,e4)
& op(op(e3,e4),e4) = e3 )
=> op(op(e3,e4),e3) = e4 ),
inference(strip,[],[co1]) ).
fof(subgoal_20,plain,
( ( ( op(e0,e0) = e0
| op(e1,e1) = e0
| op(e2,e2) = e0
| op(e3,e3) = e0
| op(e4,e4) = e0 )
& ( op(e0,e0) = e1
| op(e1,e1) = e1
| op(e2,e2) = e1
| op(e3,e3) = e1
| op(e4,e4) = e1 )
& ( op(e0,e0) = e2
| op(e1,e1) = e2
| op(e2,e2) = e2
| op(e3,e3) = e2
| op(e4,e4) = e2 )
& ( op(e0,e0) = e3
| op(e1,e1) = e3
| op(e2,e2) = e3
| op(e3,e3) = e3
| op(e4,e4) = e3 )
& ( op(e0,e0) = e4
| op(e1,e1) = e4
| op(e2,e2) = e4
| op(e3,e3) = e4
| op(e4,e4) = e4 )
& ~ ( op(e0,e0) != op(e0,e0)
& op(op(e0,e0),e0) = e0
& op(op(e0,e0),e0) != e0 )
& ~ ( op(e1,e0) != op(e0,e1)
& op(op(e0,e1),e1) = e0
& op(op(e0,e1),e0) != e1 )
& ~ ( op(e2,e0) != op(e0,e2)
& op(op(e0,e2),e2) = e0
& op(op(e0,e2),e0) != e2 )
& ~ ( op(e3,e0) != op(e0,e3)
& op(op(e0,e3),e3) = e0
& op(op(e0,e3),e0) != e3 )
& ~ ( op(e4,e0) != op(e0,e4)
& op(op(e0,e4),e4) = e0
& op(op(e0,e4),e0) != e4 )
& ~ ( op(e0,e1) != op(e1,e0)
& op(op(e1,e0),e0) = e1
& op(op(e1,e0),e1) != e0 )
& ~ ( op(e1,e1) != op(e1,e1)
& op(op(e1,e1),e1) = e1
& op(op(e1,e1),e1) != e1 )
& ~ ( op(e2,e1) != op(e1,e2)
& op(op(e1,e2),e2) = e1
& op(op(e1,e2),e1) != e2 )
& ~ ( op(e3,e1) != op(e1,e3)
& op(op(e1,e3),e3) = e1
& op(op(e1,e3),e1) != e3 )
& ~ ( op(e4,e1) != op(e1,e4)
& op(op(e1,e4),e4) = e1
& op(op(e1,e4),e1) != e4 )
& ~ ( op(e0,e2) != op(e2,e0)
& op(op(e2,e0),e0) = e2
& op(op(e2,e0),e2) != e0 )
& ~ ( op(e1,e2) != op(e2,e1)
& op(op(e2,e1),e1) = e2
& op(op(e2,e1),e2) != e1 )
& ~ ( op(e2,e2) != op(e2,e2)
& op(op(e2,e2),e2) = e2
& op(op(e2,e2),e2) != e2 )
& ~ ( op(e3,e2) != op(e2,e3)
& op(op(e2,e3),e3) = e2
& op(op(e2,e3),e2) != e3 )
& ~ ( op(e4,e2) != op(e2,e4)
& op(op(e2,e4),e4) = e2
& op(op(e2,e4),e2) != e4 )
& ~ ( op(e0,e3) != op(e3,e0)
& op(op(e3,e0),e0) = e3
& op(op(e3,e0),e3) != e0 )
& ~ ( op(e1,e3) != op(e3,e1)
& op(op(e3,e1),e1) = e3
& op(op(e3,e1),e3) != e1 )
& ~ ( op(e2,e3) != op(e3,e2)
& op(op(e3,e2),e2) = e3
& op(op(e3,e2),e3) != e2 )
& ~ ( op(e3,e3) != op(e3,e3)
& op(op(e3,e3),e3) = e3
& op(op(e3,e3),e3) != e3 )
& ~ ( op(e4,e3) != op(e3,e4)
& op(op(e3,e4),e4) = e3
& op(op(e3,e4),e3) != e4 )
& op(e0,e4) != op(e4,e0)
& op(op(e4,e0),e0) = e4 )
=> op(op(e4,e0),e4) = e0 ),
inference(strip,[],[co1]) ).
fof(subgoal_21,plain,
( ( ( op(e0,e0) = e0
| op(e1,e1) = e0
| op(e2,e2) = e0
| op(e3,e3) = e0
| op(e4,e4) = e0 )
& ( op(e0,e0) = e1
| op(e1,e1) = e1
| op(e2,e2) = e1
| op(e3,e3) = e1
| op(e4,e4) = e1 )
& ( op(e0,e0) = e2
| op(e1,e1) = e2
| op(e2,e2) = e2
| op(e3,e3) = e2
| op(e4,e4) = e2 )
& ( op(e0,e0) = e3
| op(e1,e1) = e3
| op(e2,e2) = e3
| op(e3,e3) = e3
| op(e4,e4) = e3 )
& ( op(e0,e0) = e4
| op(e1,e1) = e4
| op(e2,e2) = e4
| op(e3,e3) = e4
| op(e4,e4) = e4 )
& ~ ( op(e0,e0) != op(e0,e0)
& op(op(e0,e0),e0) = e0
& op(op(e0,e0),e0) != e0 )
& ~ ( op(e1,e0) != op(e0,e1)
& op(op(e0,e1),e1) = e0
& op(op(e0,e1),e0) != e1 )
& ~ ( op(e2,e0) != op(e0,e2)
& op(op(e0,e2),e2) = e0
& op(op(e0,e2),e0) != e2 )
& ~ ( op(e3,e0) != op(e0,e3)
& op(op(e0,e3),e3) = e0
& op(op(e0,e3),e0) != e3 )
& ~ ( op(e4,e0) != op(e0,e4)
& op(op(e0,e4),e4) = e0
& op(op(e0,e4),e0) != e4 )
& ~ ( op(e0,e1) != op(e1,e0)
& op(op(e1,e0),e0) = e1
& op(op(e1,e0),e1) != e0 )
& ~ ( op(e1,e1) != op(e1,e1)
& op(op(e1,e1),e1) = e1
& op(op(e1,e1),e1) != e1 )
& ~ ( op(e2,e1) != op(e1,e2)
& op(op(e1,e2),e2) = e1
& op(op(e1,e2),e1) != e2 )
& ~ ( op(e3,e1) != op(e1,e3)
& op(op(e1,e3),e3) = e1
& op(op(e1,e3),e1) != e3 )
& ~ ( op(e4,e1) != op(e1,e4)
& op(op(e1,e4),e4) = e1
& op(op(e1,e4),e1) != e4 )
& ~ ( op(e0,e2) != op(e2,e0)
& op(op(e2,e0),e0) = e2
& op(op(e2,e0),e2) != e0 )
& ~ ( op(e1,e2) != op(e2,e1)
& op(op(e2,e1),e1) = e2
& op(op(e2,e1),e2) != e1 )
& ~ ( op(e2,e2) != op(e2,e2)
& op(op(e2,e2),e2) = e2
& op(op(e2,e2),e2) != e2 )
& ~ ( op(e3,e2) != op(e2,e3)
& op(op(e2,e3),e3) = e2
& op(op(e2,e3),e2) != e3 )
& ~ ( op(e4,e2) != op(e2,e4)
& op(op(e2,e4),e4) = e2
& op(op(e2,e4),e2) != e4 )
& ~ ( op(e0,e3) != op(e3,e0)
& op(op(e3,e0),e0) = e3
& op(op(e3,e0),e3) != e0 )
& ~ ( op(e1,e3) != op(e3,e1)
& op(op(e3,e1),e1) = e3
& op(op(e3,e1),e3) != e1 )
& ~ ( op(e2,e3) != op(e3,e2)
& op(op(e3,e2),e2) = e3
& op(op(e3,e2),e3) != e2 )
& ~ ( op(e3,e3) != op(e3,e3)
& op(op(e3,e3),e3) = e3
& op(op(e3,e3),e3) != e3 )
& ~ ( op(e4,e3) != op(e3,e4)
& op(op(e3,e4),e4) = e3
& op(op(e3,e4),e3) != e4 )
& ~ ( op(e0,e4) != op(e4,e0)
& op(op(e4,e0),e0) = e4
& op(op(e4,e0),e4) != e0 )
& op(e1,e4) != op(e4,e1)
& op(op(e4,e1),e1) = e4 )
=> op(op(e4,e1),e4) = e1 ),
inference(strip,[],[co1]) ).
fof(subgoal_22,plain,
( ( ( op(e0,e0) = e0
| op(e1,e1) = e0
| op(e2,e2) = e0
| op(e3,e3) = e0
| op(e4,e4) = e0 )
& ( op(e0,e0) = e1
| op(e1,e1) = e1
| op(e2,e2) = e1
| op(e3,e3) = e1
| op(e4,e4) = e1 )
& ( op(e0,e0) = e2
| op(e1,e1) = e2
| op(e2,e2) = e2
| op(e3,e3) = e2
| op(e4,e4) = e2 )
& ( op(e0,e0) = e3
| op(e1,e1) = e3
| op(e2,e2) = e3
| op(e3,e3) = e3
| op(e4,e4) = e3 )
& ( op(e0,e0) = e4
| op(e1,e1) = e4
| op(e2,e2) = e4
| op(e3,e3) = e4
| op(e4,e4) = e4 )
& ~ ( op(e0,e0) != op(e0,e0)
& op(op(e0,e0),e0) = e0
& op(op(e0,e0),e0) != e0 )
& ~ ( op(e1,e0) != op(e0,e1)
& op(op(e0,e1),e1) = e0
& op(op(e0,e1),e0) != e1 )
& ~ ( op(e2,e0) != op(e0,e2)
& op(op(e0,e2),e2) = e0
& op(op(e0,e2),e0) != e2 )
& ~ ( op(e3,e0) != op(e0,e3)
& op(op(e0,e3),e3) = e0
& op(op(e0,e3),e0) != e3 )
& ~ ( op(e4,e0) != op(e0,e4)
& op(op(e0,e4),e4) = e0
& op(op(e0,e4),e0) != e4 )
& ~ ( op(e0,e1) != op(e1,e0)
& op(op(e1,e0),e0) = e1
& op(op(e1,e0),e1) != e0 )
& ~ ( op(e1,e1) != op(e1,e1)
& op(op(e1,e1),e1) = e1
& op(op(e1,e1),e1) != e1 )
& ~ ( op(e2,e1) != op(e1,e2)
& op(op(e1,e2),e2) = e1
& op(op(e1,e2),e1) != e2 )
& ~ ( op(e3,e1) != op(e1,e3)
& op(op(e1,e3),e3) = e1
& op(op(e1,e3),e1) != e3 )
& ~ ( op(e4,e1) != op(e1,e4)
& op(op(e1,e4),e4) = e1
& op(op(e1,e4),e1) != e4 )
& ~ ( op(e0,e2) != op(e2,e0)
& op(op(e2,e0),e0) = e2
& op(op(e2,e0),e2) != e0 )
& ~ ( op(e1,e2) != op(e2,e1)
& op(op(e2,e1),e1) = e2
& op(op(e2,e1),e2) != e1 )
& ~ ( op(e2,e2) != op(e2,e2)
& op(op(e2,e2),e2) = e2
& op(op(e2,e2),e2) != e2 )
& ~ ( op(e3,e2) != op(e2,e3)
& op(op(e2,e3),e3) = e2
& op(op(e2,e3),e2) != e3 )
& ~ ( op(e4,e2) != op(e2,e4)
& op(op(e2,e4),e4) = e2
& op(op(e2,e4),e2) != e4 )
& ~ ( op(e0,e3) != op(e3,e0)
& op(op(e3,e0),e0) = e3
& op(op(e3,e0),e3) != e0 )
& ~ ( op(e1,e3) != op(e3,e1)
& op(op(e3,e1),e1) = e3
& op(op(e3,e1),e3) != e1 )
& ~ ( op(e2,e3) != op(e3,e2)
& op(op(e3,e2),e2) = e3
& op(op(e3,e2),e3) != e2 )
& ~ ( op(e3,e3) != op(e3,e3)
& op(op(e3,e3),e3) = e3
& op(op(e3,e3),e3) != e3 )
& ~ ( op(e4,e3) != op(e3,e4)
& op(op(e3,e4),e4) = e3
& op(op(e3,e4),e3) != e4 )
& ~ ( op(e0,e4) != op(e4,e0)
& op(op(e4,e0),e0) = e4
& op(op(e4,e0),e4) != e0 )
& ~ ( op(e1,e4) != op(e4,e1)
& op(op(e4,e1),e1) = e4
& op(op(e4,e1),e4) != e1 )
& op(e2,e4) != op(e4,e2)
& op(op(e4,e2),e2) = e4 )
=> op(op(e4,e2),e4) = e2 ),
inference(strip,[],[co1]) ).
fof(subgoal_23,plain,
( ( ( op(e0,e0) = e0
| op(e1,e1) = e0
| op(e2,e2) = e0
| op(e3,e3) = e0
| op(e4,e4) = e0 )
& ( op(e0,e0) = e1
| op(e1,e1) = e1
| op(e2,e2) = e1
| op(e3,e3) = e1
| op(e4,e4) = e1 )
& ( op(e0,e0) = e2
| op(e1,e1) = e2
| op(e2,e2) = e2
| op(e3,e3) = e2
| op(e4,e4) = e2 )
& ( op(e0,e0) = e3
| op(e1,e1) = e3
| op(e2,e2) = e3
| op(e3,e3) = e3
| op(e4,e4) = e3 )
& ( op(e0,e0) = e4
| op(e1,e1) = e4
| op(e2,e2) = e4
| op(e3,e3) = e4
| op(e4,e4) = e4 )
& ~ ( op(e0,e0) != op(e0,e0)
& op(op(e0,e0),e0) = e0
& op(op(e0,e0),e0) != e0 )
& ~ ( op(e1,e0) != op(e0,e1)
& op(op(e0,e1),e1) = e0
& op(op(e0,e1),e0) != e1 )
& ~ ( op(e2,e0) != op(e0,e2)
& op(op(e0,e2),e2) = e0
& op(op(e0,e2),e0) != e2 )
& ~ ( op(e3,e0) != op(e0,e3)
& op(op(e0,e3),e3) = e0
& op(op(e0,e3),e0) != e3 )
& ~ ( op(e4,e0) != op(e0,e4)
& op(op(e0,e4),e4) = e0
& op(op(e0,e4),e0) != e4 )
& ~ ( op(e0,e1) != op(e1,e0)
& op(op(e1,e0),e0) = e1
& op(op(e1,e0),e1) != e0 )
& ~ ( op(e1,e1) != op(e1,e1)
& op(op(e1,e1),e1) = e1
& op(op(e1,e1),e1) != e1 )
& ~ ( op(e2,e1) != op(e1,e2)
& op(op(e1,e2),e2) = e1
& op(op(e1,e2),e1) != e2 )
& ~ ( op(e3,e1) != op(e1,e3)
& op(op(e1,e3),e3) = e1
& op(op(e1,e3),e1) != e3 )
& ~ ( op(e4,e1) != op(e1,e4)
& op(op(e1,e4),e4) = e1
& op(op(e1,e4),e1) != e4 )
& ~ ( op(e0,e2) != op(e2,e0)
& op(op(e2,e0),e0) = e2
& op(op(e2,e0),e2) != e0 )
& ~ ( op(e1,e2) != op(e2,e1)
& op(op(e2,e1),e1) = e2
& op(op(e2,e1),e2) != e1 )
& ~ ( op(e2,e2) != op(e2,e2)
& op(op(e2,e2),e2) = e2
& op(op(e2,e2),e2) != e2 )
& ~ ( op(e3,e2) != op(e2,e3)
& op(op(e2,e3),e3) = e2
& op(op(e2,e3),e2) != e3 )
& ~ ( op(e4,e2) != op(e2,e4)
& op(op(e2,e4),e4) = e2
& op(op(e2,e4),e2) != e4 )
& ~ ( op(e0,e3) != op(e3,e0)
& op(op(e3,e0),e0) = e3
& op(op(e3,e0),e3) != e0 )
& ~ ( op(e1,e3) != op(e3,e1)
& op(op(e3,e1),e1) = e3
& op(op(e3,e1),e3) != e1 )
& ~ ( op(e2,e3) != op(e3,e2)
& op(op(e3,e2),e2) = e3
& op(op(e3,e2),e3) != e2 )
& ~ ( op(e3,e3) != op(e3,e3)
& op(op(e3,e3),e3) = e3
& op(op(e3,e3),e3) != e3 )
& ~ ( op(e4,e3) != op(e3,e4)
& op(op(e3,e4),e4) = e3
& op(op(e3,e4),e3) != e4 )
& ~ ( op(e0,e4) != op(e4,e0)
& op(op(e4,e0),e0) = e4
& op(op(e4,e0),e4) != e0 )
& ~ ( op(e1,e4) != op(e4,e1)
& op(op(e4,e1),e1) = e4
& op(op(e4,e1),e4) != e1 )
& ~ ( op(e2,e4) != op(e4,e2)
& op(op(e4,e2),e2) = e4
& op(op(e4,e2),e4) != e2 )
& op(e3,e4) != op(e4,e3)
& op(op(e4,e3),e3) = e4 )
=> op(op(e4,e3),e4) = e3 ),
inference(strip,[],[co1]) ).
fof(subgoal_24,plain,
( ( ( op(e0,e0) = e0
| op(e1,e1) = e0
| op(e2,e2) = e0
| op(e3,e3) = e0
| op(e4,e4) = e0 )
& ( op(e0,e0) = e1
| op(e1,e1) = e1
| op(e2,e2) = e1
| op(e3,e3) = e1
| op(e4,e4) = e1 )
& ( op(e0,e0) = e2
| op(e1,e1) = e2
| op(e2,e2) = e2
| op(e3,e3) = e2
| op(e4,e4) = e2 )
& ( op(e0,e0) = e3
| op(e1,e1) = e3
| op(e2,e2) = e3
| op(e3,e3) = e3
| op(e4,e4) = e3 )
& ( op(e0,e0) = e4
| op(e1,e1) = e4
| op(e2,e2) = e4
| op(e3,e3) = e4
| op(e4,e4) = e4 )
& ~ ( op(e0,e0) != op(e0,e0)
& op(op(e0,e0),e0) = e0
& op(op(e0,e0),e0) != e0 )
& ~ ( op(e1,e0) != op(e0,e1)
& op(op(e0,e1),e1) = e0
& op(op(e0,e1),e0) != e1 )
& ~ ( op(e2,e0) != op(e0,e2)
& op(op(e0,e2),e2) = e0
& op(op(e0,e2),e0) != e2 )
& ~ ( op(e3,e0) != op(e0,e3)
& op(op(e0,e3),e3) = e0
& op(op(e0,e3),e0) != e3 )
& ~ ( op(e4,e0) != op(e0,e4)
& op(op(e0,e4),e4) = e0
& op(op(e0,e4),e0) != e4 )
& ~ ( op(e0,e1) != op(e1,e0)
& op(op(e1,e0),e0) = e1
& op(op(e1,e0),e1) != e0 )
& ~ ( op(e1,e1) != op(e1,e1)
& op(op(e1,e1),e1) = e1
& op(op(e1,e1),e1) != e1 )
& ~ ( op(e2,e1) != op(e1,e2)
& op(op(e1,e2),e2) = e1
& op(op(e1,e2),e1) != e2 )
& ~ ( op(e3,e1) != op(e1,e3)
& op(op(e1,e3),e3) = e1
& op(op(e1,e3),e1) != e3 )
& ~ ( op(e4,e1) != op(e1,e4)
& op(op(e1,e4),e4) = e1
& op(op(e1,e4),e1) != e4 )
& ~ ( op(e0,e2) != op(e2,e0)
& op(op(e2,e0),e0) = e2
& op(op(e2,e0),e2) != e0 )
& ~ ( op(e1,e2) != op(e2,e1)
& op(op(e2,e1),e1) = e2
& op(op(e2,e1),e2) != e1 )
& ~ ( op(e2,e2) != op(e2,e2)
& op(op(e2,e2),e2) = e2
& op(op(e2,e2),e2) != e2 )
& ~ ( op(e3,e2) != op(e2,e3)
& op(op(e2,e3),e3) = e2
& op(op(e2,e3),e2) != e3 )
& ~ ( op(e4,e2) != op(e2,e4)
& op(op(e2,e4),e4) = e2
& op(op(e2,e4),e2) != e4 )
& ~ ( op(e0,e3) != op(e3,e0)
& op(op(e3,e0),e0) = e3
& op(op(e3,e0),e3) != e0 )
& ~ ( op(e1,e3) != op(e3,e1)
& op(op(e3,e1),e1) = e3
& op(op(e3,e1),e3) != e1 )
& ~ ( op(e2,e3) != op(e3,e2)
& op(op(e3,e2),e2) = e3
& op(op(e3,e2),e3) != e2 )
& ~ ( op(e3,e3) != op(e3,e3)
& op(op(e3,e3),e3) = e3
& op(op(e3,e3),e3) != e3 )
& ~ ( op(e4,e3) != op(e3,e4)
& op(op(e3,e4),e4) = e3
& op(op(e3,e4),e3) != e4 )
& ~ ( op(e0,e4) != op(e4,e0)
& op(op(e4,e0),e0) = e4
& op(op(e4,e0),e4) != e0 )
& ~ ( op(e1,e4) != op(e4,e1)
& op(op(e4,e1),e1) = e4
& op(op(e4,e1),e4) != e1 )
& ~ ( op(e2,e4) != op(e4,e2)
& op(op(e4,e2),e2) = e4
& op(op(e4,e2),e4) != e2 )
& ~ ( op(e3,e4) != op(e4,e3)
& op(op(e4,e3),e3) = e4
& op(op(e4,e3),e4) != e3 )
& op(e4,e4) != op(e4,e4)
& op(op(e4,e4),e4) = e4 )
=> op(op(e4,e4),e4) = e4 ),
inference(strip,[],[co1]) ).
fof(negate_0_0,plain,
~ ( ( ( op(e0,e0) = e0
| op(e1,e1) = e0
| op(e2,e2) = e0
| op(e3,e3) = e0
| op(e4,e4) = e0 )
& ( op(e0,e0) = e1
| op(e1,e1) = e1
| op(e2,e2) = e1
| op(e3,e3) = e1
| op(e4,e4) = e1 )
& ( op(e0,e0) = e2
| op(e1,e1) = e2
| op(e2,e2) = e2
| op(e3,e3) = e2
| op(e4,e4) = e2 )
& ( op(e0,e0) = e3
| op(e1,e1) = e3
| op(e2,e2) = e3
| op(e3,e3) = e3
| op(e4,e4) = e3 )
& ( op(e0,e0) = e4
| op(e1,e1) = e4
| op(e2,e2) = e4
| op(e3,e3) = e4
| op(e4,e4) = e4 )
& op(e0,e0) != op(e0,e0)
& op(op(e0,e0),e0) = e0 )
=> op(op(e0,e0),e0) = e0 ),
inference(negate,[],[subgoal_0]) ).
fof(normalize_0_0,plain,
$false,
inference(canonicalize,[],[negate_0_0]) ).
cnf(refute_0_0,plain,
$false,
inference(canonicalize,[],[normalize_0_0]) ).
fof(negate_1_0,plain,
~ ( ( ( op(e0,e0) = e0
| op(e1,e1) = e0
| op(e2,e2) = e0
| op(e3,e3) = e0
| op(e4,e4) = e0 )
& ( op(e0,e0) = e1
| op(e1,e1) = e1
| op(e2,e2) = e1
| op(e3,e3) = e1
| op(e4,e4) = e1 )
& ( op(e0,e0) = e2
| op(e1,e1) = e2
| op(e2,e2) = e2
| op(e3,e3) = e2
| op(e4,e4) = e2 )
& ( op(e0,e0) = e3
| op(e1,e1) = e3
| op(e2,e2) = e3
| op(e3,e3) = e3
| op(e4,e4) = e3 )
& ( op(e0,e0) = e4
| op(e1,e1) = e4
| op(e2,e2) = e4
| op(e3,e3) = e4
| op(e4,e4) = e4 )
& ~ ( op(e0,e0) != op(e0,e0)
& op(op(e0,e0),e0) = e0
& op(op(e0,e0),e0) != e0 )
& op(e1,e0) != op(e0,e1)
& op(op(e0,e1),e1) = e0 )
=> op(op(e0,e1),e0) = e1 ),
inference(negate,[],[subgoal_1]) ).
fof(normalize_1_0,plain,
( op(e1,e0) != op(e0,e1)
& op(op(e0,e1),e0) != e1
& op(op(e0,e1),e1) = e0
& ( op(e0,e0) = e0
| op(e1,e1) = e0
| op(e2,e2) = e0
| op(e3,e3) = e0
| op(e4,e4) = e0 )
& ( op(e0,e0) = e1
| op(e1,e1) = e1
| op(e2,e2) = e1
| op(e3,e3) = e1
| op(e4,e4) = e1 )
& ( op(e0,e0) = e2
| op(e1,e1) = e2
| op(e2,e2) = e2
| op(e3,e3) = e2
| op(e4,e4) = e2 )
& ( op(e0,e0) = e3
| op(e1,e1) = e3
| op(e2,e2) = e3
| op(e3,e3) = e3
| op(e4,e4) = e3 )
& ( op(e0,e0) = e4
| op(e1,e1) = e4
| op(e2,e2) = e4
| op(e3,e3) = e4
| op(e4,e4) = e4 ) ),
inference(canonicalize,[],[negate_1_0]) ).
fof(normalize_1_1,plain,
( op(e0,e0) = e0
| op(e1,e1) = e0
| op(e2,e2) = e0
| op(e3,e3) = e0
| op(e4,e4) = e0 ),
inference(conjunct,[],[normalize_1_0]) ).
fof(normalize_1_2,plain,
( e0 = op(e1,op(op(e1,e1),op(e1,e1)))
& e2 = op(op(e1,e1),op(e1,e1))
& e3 = op(op(op(e1,e1),op(e1,e1)),op(op(e1,e1),op(e1,e1)))
& e4 = op(e1,e1) ),
inference(canonicalize,[],[ax6]) ).
fof(normalize_1_3,plain,
e4 = op(e1,e1),
inference(conjunct,[],[normalize_1_2]) ).
fof(normalize_1_4,plain,
e3 = op(op(op(e1,e1),op(e1,e1)),op(op(e1,e1),op(e1,e1))),
inference(conjunct,[],[normalize_1_2]) ).
fof(normalize_1_5,plain,
e2 = op(op(e1,e1),op(e1,e1)),
inference(conjunct,[],[normalize_1_2]) ).
fof(normalize_1_6,plain,
( e0 != e1
& e0 != e2
& e0 != e3
& e0 != e4
& e1 != e2
& e1 != e3
& e1 != e4
& e2 != e3
& e2 != e4
& e3 != e4 ),
inference(canonicalize,[],[ax5]) ).
fof(normalize_1_7,plain,
e0 != e2,
inference(conjunct,[],[normalize_1_6]) ).
fof(normalize_1_8,plain,
e0 != e3,
inference(conjunct,[],[normalize_1_6]) ).
fof(normalize_1_9,plain,
e0 != e4,
inference(conjunct,[],[normalize_1_6]) ).
fof(normalize_1_10,plain,
( op(e0,unit) = e0
& op(e1,unit) = e1
& op(e2,unit) = e2
& op(e3,unit) = e3
& op(e4,unit) = e4
& op(unit,e0) = e0
& op(unit,e1) = e1
& op(unit,e2) = e2
& op(unit,e3) = e3
& op(unit,e4) = e4
& ( unit = e0
| unit = e1
| unit = e2
| unit = e3
| unit = e4 ) ),
inference(canonicalize,[],[ax2]) ).
fof(normalize_1_11,plain,
op(e3,unit) = e3,
inference(conjunct,[],[normalize_1_10]) ).
fof(normalize_1_12,plain,
op(op(e0,e1),e1) = e0,
inference(conjunct,[],[normalize_1_0]) ).
fof(normalize_1_13,plain,
op(unit,e1) = e1,
inference(conjunct,[],[normalize_1_10]) ).
fof(normalize_1_14,plain,
op(unit,e4) = e4,
inference(conjunct,[],[normalize_1_10]) ).
fof(normalize_1_15,plain,
op(unit,e3) = e3,
inference(conjunct,[],[normalize_1_10]) ).
fof(normalize_1_16,plain,
( unit = e0
| unit = e1
| unit = e2
| unit = e3
| unit = e4 ),
inference(conjunct,[],[normalize_1_10]) ).
fof(normalize_1_17,plain,
( op(e0,e0) != op(e0,e1)
& op(e0,e0) != op(e0,e2)
& op(e0,e0) != op(e0,e3)
& op(e0,e0) != op(e0,e4)
& op(e0,e0) != op(e1,e0)
& op(e0,e0) != op(e2,e0)
& op(e0,e0) != op(e3,e0)
& op(e0,e0) != op(e4,e0)
& op(e0,e1) != op(e0,e2)
& op(e0,e1) != op(e0,e3)
& op(e0,e1) != op(e0,e4)
& op(e0,e1) != op(e1,e1)
& op(e0,e1) != op(e2,e1)
& op(e0,e1) != op(e3,e1)
& op(e0,e1) != op(e4,e1)
& op(e0,e2) != op(e0,e3)
& op(e0,e2) != op(e0,e4)
& op(e0,e2) != op(e1,e2)
& op(e0,e2) != op(e2,e2)
& op(e0,e2) != op(e3,e2)
& op(e0,e2) != op(e4,e2)
& op(e0,e3) != op(e0,e4)
& op(e0,e3) != op(e1,e3)
& op(e0,e3) != op(e2,e3)
& op(e0,e3) != op(e3,e3)
& op(e0,e3) != op(e4,e3)
& op(e0,e4) != op(e1,e4)
& op(e0,e4) != op(e2,e4)
& op(e0,e4) != op(e3,e4)
& op(e0,e4) != op(e4,e4)
& op(e1,e0) != op(e1,e1)
& op(e1,e0) != op(e1,e2)
& op(e1,e0) != op(e1,e3)
& op(e1,e0) != op(e1,e4)
& op(e1,e0) != op(e2,e0)
& op(e1,e0) != op(e3,e0)
& op(e1,e0) != op(e4,e0)
& op(e1,e1) != op(e1,e2)
& op(e1,e1) != op(e1,e3)
& op(e1,e1) != op(e1,e4)
& op(e1,e1) != op(e2,e1)
& op(e1,e1) != op(e3,e1)
& op(e1,e1) != op(e4,e1)
& op(e1,e2) != op(e1,e3)
& op(e1,e2) != op(e1,e4)
& op(e1,e2) != op(e2,e2)
& op(e1,e2) != op(e3,e2)
& op(e1,e2) != op(e4,e2)
& op(e1,e3) != op(e1,e4)
& op(e1,e3) != op(e2,e3)
& op(e1,e3) != op(e3,e3)
& op(e1,e3) != op(e4,e3)
& op(e1,e4) != op(e2,e4)
& op(e1,e4) != op(e3,e4)
& op(e1,e4) != op(e4,e4)
& op(e2,e0) != op(e2,e1)
& op(e2,e0) != op(e2,e2)
& op(e2,e0) != op(e2,e3)
& op(e2,e0) != op(e2,e4)
& op(e2,e0) != op(e3,e0)
& op(e2,e0) != op(e4,e0)
& op(e2,e1) != op(e2,e2)
& op(e2,e1) != op(e2,e3)
& op(e2,e1) != op(e2,e4)
& op(e2,e1) != op(e3,e1)
& op(e2,e1) != op(e4,e1)
& op(e2,e2) != op(e2,e3)
& op(e2,e2) != op(e2,e4)
& op(e2,e2) != op(e3,e2)
& op(e2,e2) != op(e4,e2)
& op(e2,e3) != op(e2,e4)
& op(e2,e3) != op(e3,e3)
& op(e2,e3) != op(e4,e3)
& op(e2,e4) != op(e3,e4)
& op(e2,e4) != op(e4,e4)
& op(e3,e0) != op(e3,e1)
& op(e3,e0) != op(e3,e2)
& op(e3,e0) != op(e3,e3)
& op(e3,e0) != op(e3,e4)
& op(e3,e0) != op(e4,e0)
& op(e3,e1) != op(e3,e2)
& op(e3,e1) != op(e3,e3)
& op(e3,e1) != op(e3,e4)
& op(e3,e1) != op(e4,e1)
& op(e3,e2) != op(e3,e3)
& op(e3,e2) != op(e3,e4)
& op(e3,e2) != op(e4,e2)
& op(e3,e3) != op(e3,e4)
& op(e3,e3) != op(e4,e3)
& op(e3,e4) != op(e4,e4)
& op(e4,e0) != op(e4,e1)
& op(e4,e0) != op(e4,e2)
& op(e4,e0) != op(e4,e3)
& op(e4,e0) != op(e4,e4)
& op(e4,e1) != op(e4,e2)
& op(e4,e1) != op(e4,e3)
& op(e4,e1) != op(e4,e4)
& op(e4,e2) != op(e4,e3)
& op(e4,e2) != op(e4,e4)
& op(e4,e3) != op(e4,e4) ),
inference(canonicalize,[],[ax4]) ).
fof(normalize_1_18,plain,
op(e1,e1) != op(e1,e4),
inference(conjunct,[],[normalize_1_17]) ).
fof(normalize_1_19,plain,
op(e2,e2) != op(e2,e3),
inference(conjunct,[],[normalize_1_17]) ).
fof(normalize_1_20,plain,
e2 != e4,
inference(conjunct,[],[normalize_1_6]) ).
fof(normalize_1_21,plain,
op(e0,e0) != op(e0,e3),
inference(conjunct,[],[normalize_1_17]) ).
fof(normalize_1_22,plain,
op(e0,unit) = e0,
inference(conjunct,[],[normalize_1_10]) ).
cnf(refute_1_0,plain,
( op(e0,e0) = e0
| op(e1,e1) = e0
| op(e2,e2) = e0
| op(e3,e3) = e0
| op(e4,e4) = e0 ),
inference(canonicalize,[],[normalize_1_1]) ).
cnf(refute_1_1,plain,
e4 = op(e1,e1),
inference(canonicalize,[],[normalize_1_3]) ).
cnf(refute_1_2,plain,
X = X,
introduced(tautology,[refl,[$fot(X)]]) ).
cnf(refute_1_3,plain,
( X != X
| X != Y
| Y = X ),
introduced(tautology,[equality,[$cnf( $equal(X,X) ),[0],$fot(Y)]]) ).
cnf(refute_1_4,plain,
( X != Y
| Y = X ),
inference(resolve,[$cnf( $equal(X,X) )],[refute_1_2,refute_1_3]) ).
cnf(refute_1_5,plain,
( e4 != op(e1,e1)
| op(e1,e1) = e4 ),
inference(subst,[],[refute_1_4:[bind(X,$fot(e4)),bind(Y,$fot(op(e1,e1)))]]) ).
cnf(refute_1_6,plain,
op(e1,e1) = e4,
inference(resolve,[$cnf( $equal(e4,op(e1,e1)) )],[refute_1_1,refute_1_5]) ).
cnf(refute_1_7,plain,
( op(e1,e1) != e0
| op(e1,e1) != e4
| e4 = e0 ),
introduced(tautology,[equality,[$cnf( $equal(op(e1,e1),e0) ),[0],$fot(e4)]]) ).
cnf(refute_1_8,plain,
( op(e1,e1) != e0
| e4 = e0 ),
inference(resolve,[$cnf( $equal(op(e1,e1),e4) )],[refute_1_6,refute_1_7]) ).
cnf(refute_1_9,plain,
( e4 = e0
| op(e0,e0) = e0
| op(e2,e2) = e0
| op(e3,e3) = e0
| op(e4,e4) = e0 ),
inference(resolve,[$cnf( $equal(op(e1,e1),e0) )],[refute_1_0,refute_1_8]) ).
cnf(refute_1_10,plain,
e3 = op(op(op(e1,e1),op(e1,e1)),op(op(e1,e1),op(e1,e1))),
inference(canonicalize,[],[normalize_1_4]) ).
cnf(refute_1_11,plain,
e2 = op(op(e1,e1),op(e1,e1)),
inference(canonicalize,[],[normalize_1_5]) ).
cnf(refute_1_12,plain,
( e2 != op(op(e1,e1),op(e1,e1))
| op(op(e1,e1),op(e1,e1)) = e2 ),
inference(subst,[],[refute_1_4:[bind(X,$fot(e2)),bind(Y,$fot(op(op(e1,e1),op(e1,e1))))]]) ).
cnf(refute_1_13,plain,
op(op(e1,e1),op(e1,e1)) = e2,
inference(resolve,[$cnf( $equal(e2,op(op(e1,e1),op(e1,e1))) )],[refute_1_11,refute_1_12]) ).
cnf(refute_1_14,plain,
op(e2,op(op(e1,e1),op(e1,e1))) = op(e2,op(op(e1,e1),op(e1,e1))),
introduced(tautology,[refl,[$fot(op(e2,op(op(e1,e1),op(e1,e1))))]]) ).
cnf(refute_1_15,plain,
( op(e2,op(op(e1,e1),op(e1,e1))) != op(e2,op(op(e1,e1),op(e1,e1)))
| op(op(e1,e1),op(e1,e1)) != e2
| op(e2,op(op(e1,e1),op(e1,e1))) = op(e2,e2) ),
introduced(tautology,[equality,[$cnf( $equal(op(e2,op(op(e1,e1),op(e1,e1))),op(e2,op(op(e1,e1),op(e1,e1)))) ),[1,1],$fot(e2)]]) ).
cnf(refute_1_16,plain,
( op(op(e1,e1),op(e1,e1)) != e2
| op(e2,op(op(e1,e1),op(e1,e1))) = op(e2,e2) ),
inference(resolve,[$cnf( $equal(op(e2,op(op(e1,e1),op(e1,e1))),op(e2,op(op(e1,e1),op(e1,e1)))) )],[refute_1_14,refute_1_15]) ).
cnf(refute_1_17,plain,
op(e2,op(op(e1,e1),op(e1,e1))) = op(e2,e2),
inference(resolve,[$cnf( $equal(op(op(e1,e1),op(e1,e1)),e2) )],[refute_1_13,refute_1_16]) ).
cnf(refute_1_18,plain,
op(op(op(e1,e1),op(e1,e1)),op(op(e1,e1),op(e1,e1))) = op(op(op(e1,e1),op(e1,e1)),op(op(e1,e1),op(e1,e1))),
introduced(tautology,[refl,[$fot(op(op(op(e1,e1),op(e1,e1)),op(op(e1,e1),op(e1,e1))))]]) ).
cnf(refute_1_19,plain,
( op(op(e1,e1),op(e1,e1)) != e2
| op(op(op(e1,e1),op(e1,e1)),op(op(e1,e1),op(e1,e1))) != op(op(op(e1,e1),op(e1,e1)),op(op(e1,e1),op(e1,e1)))
| op(op(op(e1,e1),op(e1,e1)),op(op(e1,e1),op(e1,e1))) = op(e2,op(op(e1,e1),op(e1,e1))) ),
introduced(tautology,[equality,[$cnf( $equal(op(op(op(e1,e1),op(e1,e1)),op(op(e1,e1),op(e1,e1))),op(op(op(e1,e1),op(e1,e1)),op(op(e1,e1),op(e1,e1)))) ),[1,0],$fot(e2)]]) ).
cnf(refute_1_20,plain,
( op(op(e1,e1),op(e1,e1)) != e2
| op(op(op(e1,e1),op(e1,e1)),op(op(e1,e1),op(e1,e1))) = op(e2,op(op(e1,e1),op(e1,e1))) ),
inference(resolve,[$cnf( $equal(op(op(op(e1,e1),op(e1,e1)),op(op(e1,e1),op(e1,e1))),op(op(op(e1,e1),op(e1,e1)),op(op(e1,e1),op(e1,e1)))) )],[refute_1_18,refute_1_19]) ).
cnf(refute_1_21,plain,
op(op(op(e1,e1),op(e1,e1)),op(op(e1,e1),op(e1,e1))) = op(e2,op(op(e1,e1),op(e1,e1))),
inference(resolve,[$cnf( $equal(op(op(e1,e1),op(e1,e1)),e2) )],[refute_1_13,refute_1_20]) ).
cnf(refute_1_22,plain,
( Y != X
| Y != Z
| X = Z ),
introduced(tautology,[equality,[$cnf( $equal(Y,Z) ),[0],$fot(X)]]) ).
cnf(refute_1_23,plain,
( X != Y
| Y != Z
| X = Z ),
inference(resolve,[$cnf( $equal(Y,X) )],[refute_1_4,refute_1_22]) ).
cnf(refute_1_24,plain,
( op(e2,op(op(e1,e1),op(e1,e1))) != op(e2,e2)
| op(op(op(e1,e1),op(e1,e1)),op(op(e1,e1),op(e1,e1))) != op(e2,op(op(e1,e1),op(e1,e1)))
| op(op(op(e1,e1),op(e1,e1)),op(op(e1,e1),op(e1,e1))) = op(e2,e2) ),
inference(subst,[],[refute_1_23:[bind(X,$fot(op(op(op(e1,e1),op(e1,e1)),op(op(e1,e1),op(e1,e1))))),bind(Y,$fot(op(e2,op(op(e1,e1),op(e1,e1))))),bind(Z,$fot(op(e2,e2)))]]) ).
cnf(refute_1_25,plain,
( op(e2,op(op(e1,e1),op(e1,e1))) != op(e2,e2)
| op(op(op(e1,e1),op(e1,e1)),op(op(e1,e1),op(e1,e1))) = op(e2,e2) ),
inference(resolve,[$cnf( $equal(op(op(op(e1,e1),op(e1,e1)),op(op(e1,e1),op(e1,e1))),op(e2,op(op(e1,e1),op(e1,e1)))) )],[refute_1_21,refute_1_24]) ).
cnf(refute_1_26,plain,
op(op(op(e1,e1),op(e1,e1)),op(op(e1,e1),op(e1,e1))) = op(e2,e2),
inference(resolve,[$cnf( $equal(op(e2,op(op(e1,e1),op(e1,e1))),op(e2,e2)) )],[refute_1_17,refute_1_25]) ).
cnf(refute_1_27,plain,
( e3 != op(op(op(e1,e1),op(e1,e1)),op(op(e1,e1),op(e1,e1)))
| op(op(op(e1,e1),op(e1,e1)),op(op(e1,e1),op(e1,e1))) != op(e2,e2)
| e3 = op(e2,e2) ),
introduced(tautology,[equality,[$cnf( ~ $equal(e3,op(e2,e2)) ),[0],$fot(op(op(op(e1,e1),op(e1,e1)),op(op(e1,e1),op(e1,e1))))]]) ).
cnf(refute_1_28,plain,
( e3 != op(op(op(e1,e1),op(e1,e1)),op(op(e1,e1),op(e1,e1)))
| e3 = op(e2,e2) ),
inference(resolve,[$cnf( $equal(op(op(op(e1,e1),op(e1,e1)),op(op(e1,e1),op(e1,e1))),op(e2,e2)) )],[refute_1_26,refute_1_27]) ).
cnf(refute_1_29,plain,
e3 = op(e2,e2),
inference(resolve,[$cnf( $equal(e3,op(op(op(e1,e1),op(e1,e1)),op(op(e1,e1),op(e1,e1)))) )],[refute_1_10,refute_1_28]) ).
cnf(refute_1_30,plain,
( e3 != op(e2,e2)
| op(e2,e2) = e3 ),
inference(subst,[],[refute_1_4:[bind(X,$fot(e3)),bind(Y,$fot(op(e2,e2)))]]) ).
cnf(refute_1_31,plain,
op(e2,e2) = e3,
inference(resolve,[$cnf( $equal(e3,op(e2,e2)) )],[refute_1_29,refute_1_30]) ).
cnf(refute_1_32,plain,
( op(e2,e2) != e0
| op(e2,e2) != e3
| e3 = e0 ),
introduced(tautology,[equality,[$cnf( $equal(op(e2,e2),e0) ),[0],$fot(e3)]]) ).
cnf(refute_1_33,plain,
( op(e2,e2) != e0
| e3 = e0 ),
inference(resolve,[$cnf( $equal(op(e2,e2),e3) )],[refute_1_31,refute_1_32]) ).
cnf(refute_1_34,plain,
( e3 = e0
| e4 = e0
| op(e0,e0) = e0
| op(e3,e3) = e0
| op(e4,e4) = e0 ),
inference(resolve,[$cnf( $equal(op(e2,e2),e0) )],[refute_1_9,refute_1_33]) ).
cnf(refute_1_35,plain,
op(e4,op(e1,e1)) = op(e4,op(e1,e1)),
introduced(tautology,[refl,[$fot(op(e4,op(e1,e1)))]]) ).
cnf(refute_1_36,plain,
( op(e1,e1) != e4
| op(e4,op(e1,e1)) != op(e4,op(e1,e1))
| op(e4,op(e1,e1)) = op(e4,e4) ),
introduced(tautology,[equality,[$cnf( $equal(op(e4,op(e1,e1)),op(e4,op(e1,e1))) ),[1,1],$fot(e4)]]) ).
cnf(refute_1_37,plain,
( op(e1,e1) != e4
| op(e4,op(e1,e1)) = op(e4,e4) ),
inference(resolve,[$cnf( $equal(op(e4,op(e1,e1)),op(e4,op(e1,e1))) )],[refute_1_35,refute_1_36]) ).
cnf(refute_1_38,plain,
op(e4,op(e1,e1)) = op(e4,e4),
inference(resolve,[$cnf( $equal(op(e1,e1),e4) )],[refute_1_6,refute_1_37]) ).
cnf(refute_1_39,plain,
op(op(e1,e1),op(e1,e1)) = op(op(e1,e1),op(e1,e1)),
introduced(tautology,[refl,[$fot(op(op(e1,e1),op(e1,e1)))]]) ).
cnf(refute_1_40,plain,
( op(e1,e1) != e4
| op(op(e1,e1),op(e1,e1)) != op(op(e1,e1),op(e1,e1))
| op(op(e1,e1),op(e1,e1)) = op(e4,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(e4)]]) ).
cnf(refute_1_41,plain,
( op(e1,e1) != e4
| op(op(e1,e1),op(e1,e1)) = op(e4,op(e1,e1)) ),
inference(resolve,[$cnf( $equal(op(op(e1,e1),op(e1,e1)),op(op(e1,e1),op(e1,e1))) )],[refute_1_39,refute_1_40]) ).
cnf(refute_1_42,plain,
op(op(e1,e1),op(e1,e1)) = op(e4,op(e1,e1)),
inference(resolve,[$cnf( $equal(op(e1,e1),e4) )],[refute_1_6,refute_1_41]) ).
cnf(refute_1_43,plain,
( op(e4,op(e1,e1)) != op(e4,e4)
| op(op(e1,e1),op(e1,e1)) != op(e4,op(e1,e1))
| op(op(e1,e1),op(e1,e1)) = op(e4,e4) ),
inference(subst,[],[refute_1_23:[bind(X,$fot(op(op(e1,e1),op(e1,e1)))),bind(Y,$fot(op(e4,op(e1,e1)))),bind(Z,$fot(op(e4,e4)))]]) ).
cnf(refute_1_44,plain,
( op(e4,op(e1,e1)) != op(e4,e4)
| op(op(e1,e1),op(e1,e1)) = op(e4,e4) ),
inference(resolve,[$cnf( $equal(op(op(e1,e1),op(e1,e1)),op(e4,op(e1,e1))) )],[refute_1_42,refute_1_43]) ).
cnf(refute_1_45,plain,
op(op(e1,e1),op(e1,e1)) = op(e4,e4),
inference(resolve,[$cnf( $equal(op(e4,op(e1,e1)),op(e4,e4)) )],[refute_1_38,refute_1_44]) ).
cnf(refute_1_46,plain,
( e2 != op(op(e1,e1),op(e1,e1))
| op(op(e1,e1),op(e1,e1)) != op(e4,e4)
| e2 = op(e4,e4) ),
introduced(tautology,[equality,[$cnf( ~ $equal(e2,op(e4,e4)) ),[0],$fot(op(op(e1,e1),op(e1,e1)))]]) ).
cnf(refute_1_47,plain,
( e2 != op(op(e1,e1),op(e1,e1))
| e2 = op(e4,e4) ),
inference(resolve,[$cnf( $equal(op(op(e1,e1),op(e1,e1)),op(e4,e4)) )],[refute_1_45,refute_1_46]) ).
cnf(refute_1_48,plain,
e2 = op(e4,e4),
inference(resolve,[$cnf( $equal(e2,op(op(e1,e1),op(e1,e1))) )],[refute_1_11,refute_1_47]) ).
cnf(refute_1_49,plain,
( e2 != op(e4,e4)
| op(e4,e4) = e2 ),
inference(subst,[],[refute_1_4:[bind(X,$fot(e2)),bind(Y,$fot(op(e4,e4)))]]) ).
cnf(refute_1_50,plain,
op(e4,e4) = e2,
inference(resolve,[$cnf( $equal(e2,op(e4,e4)) )],[refute_1_48,refute_1_49]) ).
cnf(refute_1_51,plain,
( op(e4,e4) != e0
| op(e4,e4) != e2
| e2 = e0 ),
introduced(tautology,[equality,[$cnf( $equal(op(e4,e4),e0) ),[0],$fot(e2)]]) ).
cnf(refute_1_52,plain,
( op(e4,e4) != e0
| e2 = e0 ),
inference(resolve,[$cnf( $equal(op(e4,e4),e2) )],[refute_1_50,refute_1_51]) ).
cnf(refute_1_53,plain,
( e2 = e0
| e3 = e0
| e4 = e0
| op(e0,e0) = e0
| op(e3,e3) = e0 ),
inference(resolve,[$cnf( $equal(op(e4,e4),e0) )],[refute_1_34,refute_1_52]) ).
cnf(refute_1_54,plain,
e0 != e2,
inference(canonicalize,[],[normalize_1_7]) ).
cnf(refute_1_55,plain,
( e2 != e0
| e0 = e2 ),
inference(subst,[],[refute_1_4:[bind(X,$fot(e2)),bind(Y,$fot(e0))]]) ).
cnf(refute_1_56,plain,
e2 != e0,
inference(resolve,[$cnf( $equal(e0,e2) )],[refute_1_55,refute_1_54]) ).
cnf(refute_1_57,plain,
( e3 = e0
| e4 = e0
| op(e0,e0) = e0
| op(e3,e3) = e0 ),
inference(resolve,[$cnf( $equal(e2,e0) )],[refute_1_53,refute_1_56]) ).
cnf(refute_1_58,plain,
e0 != e3,
inference(canonicalize,[],[normalize_1_8]) ).
cnf(refute_1_59,plain,
( e3 != e0
| e0 = e3 ),
inference(subst,[],[refute_1_4:[bind(X,$fot(e3)),bind(Y,$fot(e0))]]) ).
cnf(refute_1_60,plain,
e3 != e0,
inference(resolve,[$cnf( $equal(e0,e3) )],[refute_1_59,refute_1_58]) ).
cnf(refute_1_61,plain,
( e4 = e0
| op(e0,e0) = e0
| op(e3,e3) = e0 ),
inference(resolve,[$cnf( $equal(e3,e0) )],[refute_1_57,refute_1_60]) ).
cnf(refute_1_62,plain,
e0 != e4,
inference(canonicalize,[],[normalize_1_9]) ).
cnf(refute_1_63,plain,
( e4 != e0
| e0 = e4 ),
inference(subst,[],[refute_1_4:[bind(X,$fot(e4)),bind(Y,$fot(e0))]]) ).
cnf(refute_1_64,plain,
e4 != e0,
inference(resolve,[$cnf( $equal(e0,e4) )],[refute_1_63,refute_1_62]) ).
cnf(refute_1_65,plain,
( op(e0,e0) = e0
| op(e3,e3) = e0 ),
inference(resolve,[$cnf( $equal(e4,e0) )],[refute_1_61,refute_1_64]) ).
cnf(refute_1_66,plain,
op(e3,unit) = e3,
inference(canonicalize,[],[normalize_1_11]) ).
cnf(refute_1_67,plain,
op(op(e0,e1),e1) = e0,
inference(canonicalize,[],[normalize_1_12]) ).
cnf(refute_1_68,plain,
op(unit,e1) = e1,
inference(canonicalize,[],[normalize_1_13]) ).
cnf(refute_1_69,plain,
op(unit,e4) = e4,
inference(canonicalize,[],[normalize_1_14]) ).
cnf(refute_1_70,plain,
op(unit,e3) = e3,
inference(canonicalize,[],[normalize_1_15]) ).
cnf(refute_1_71,plain,
( unit = e0
| unit = e1
| unit = e2
| unit = e3
| unit = e4 ),
inference(canonicalize,[],[normalize_1_16]) ).
cnf(refute_1_72,plain,
( op(unit,e4) != e4
| unit != e1
| op(e1,e4) = e4 ),
introduced(tautology,[equality,[$cnf( $equal(op(unit,e4),e4) ),[0,0],$fot(e1)]]) ).
cnf(refute_1_73,plain,
( op(unit,e4) != e4
| op(e1,e4) = e4
| unit = e0
| unit = e2
| unit = e3
| unit = e4 ),
inference(resolve,[$cnf( $equal(unit,e1) )],[refute_1_71,refute_1_72]) ).
cnf(refute_1_74,plain,
( op(e1,e4) = e4
| unit = e0
| unit = e2
| unit = e3
| unit = e4 ),
inference(resolve,[$cnf( $equal(op(unit,e4),e4) )],[refute_1_69,refute_1_73]) ).
cnf(refute_1_75,plain,
op(e1,e1) != op(e1,e4),
inference(canonicalize,[],[normalize_1_18]) ).
cnf(refute_1_76,plain,
( e4 != op(e1,e4)
| op(e1,e1) != e4
| op(e1,e1) = op(e1,e4) ),
introduced(tautology,[equality,[$cnf( $equal(op(e1,e1),e4) ),[1],$fot(op(e1,e4))]]) ).
cnf(refute_1_77,plain,
( e4 != op(e1,e4)
| op(e1,e1) = op(e1,e4) ),
inference(resolve,[$cnf( $equal(op(e1,e1),e4) )],[refute_1_6,refute_1_76]) ).
cnf(refute_1_78,plain,
e4 != op(e1,e4),
inference(resolve,[$cnf( $equal(op(e1,e1),op(e1,e4)) )],[refute_1_77,refute_1_75]) ).
cnf(refute_1_79,plain,
( op(e1,e4) != e4
| e4 = op(e1,e4) ),
inference(subst,[],[refute_1_4:[bind(X,$fot(op(e1,e4))),bind(Y,$fot(e4))]]) ).
cnf(refute_1_80,plain,
op(e1,e4) != e4,
inference(resolve,[$cnf( $equal(e4,op(e1,e4)) )],[refute_1_79,refute_1_78]) ).
cnf(refute_1_81,plain,
( unit = e0
| unit = e2
| unit = e3
| unit = e4 ),
inference(resolve,[$cnf( $equal(op(e1,e4),e4) )],[refute_1_74,refute_1_80]) ).
cnf(refute_1_82,plain,
( op(unit,e3) != e3
| unit != e2
| op(e2,e3) = e3 ),
introduced(tautology,[equality,[$cnf( $equal(op(unit,e3),e3) ),[0,0],$fot(e2)]]) ).
cnf(refute_1_83,plain,
( op(unit,e3) != e3
| op(e2,e3) = e3
| unit = e0
| unit = e3
| unit = e4 ),
inference(resolve,[$cnf( $equal(unit,e2) )],[refute_1_81,refute_1_82]) ).
cnf(refute_1_84,plain,
( op(e2,e3) = e3
| unit = e0
| unit = e3
| unit = e4 ),
inference(resolve,[$cnf( $equal(op(unit,e3),e3) )],[refute_1_70,refute_1_83]) ).
cnf(refute_1_85,plain,
op(e2,e2) != op(e2,e3),
inference(canonicalize,[],[normalize_1_19]) ).
cnf(refute_1_86,plain,
( e3 != op(e2,e3)
| op(e2,e2) != e3
| op(e2,e2) = op(e2,e3) ),
introduced(tautology,[equality,[$cnf( $equal(op(e2,e2),e3) ),[1],$fot(op(e2,e3))]]) ).
cnf(refute_1_87,plain,
( e3 != op(e2,e3)
| op(e2,e2) = op(e2,e3) ),
inference(resolve,[$cnf( $equal(op(e2,e2),e3) )],[refute_1_31,refute_1_86]) ).
cnf(refute_1_88,plain,
e3 != op(e2,e3),
inference(resolve,[$cnf( $equal(op(e2,e2),op(e2,e3)) )],[refute_1_87,refute_1_85]) ).
cnf(refute_1_89,plain,
( op(e2,e3) != e3
| e3 = op(e2,e3) ),
inference(subst,[],[refute_1_4:[bind(X,$fot(op(e2,e3))),bind(Y,$fot(e3))]]) ).
cnf(refute_1_90,plain,
op(e2,e3) != e3,
inference(resolve,[$cnf( $equal(e3,op(e2,e3)) )],[refute_1_89,refute_1_88]) ).
cnf(refute_1_91,plain,
( unit = e0
| unit = e3
| unit = e4 ),
inference(resolve,[$cnf( $equal(op(e2,e3),e3) )],[refute_1_84,refute_1_90]) ).
cnf(refute_1_92,plain,
( op(unit,e4) != e4
| unit != e4
| op(e4,e4) = e4 ),
introduced(tautology,[equality,[$cnf( $equal(op(unit,e4),e4) ),[0,0],$fot(e4)]]) ).
cnf(refute_1_93,plain,
( op(unit,e4) != e4
| op(e4,e4) = e4
| unit = e0
| unit = e3 ),
inference(resolve,[$cnf( $equal(unit,e4) )],[refute_1_91,refute_1_92]) ).
cnf(refute_1_94,plain,
( op(e4,e4) = e4
| unit = e0
| unit = e3 ),
inference(resolve,[$cnf( $equal(op(unit,e4),e4) )],[refute_1_69,refute_1_93]) ).
cnf(refute_1_95,plain,
( op(e4,e4) != e2
| op(e4,e4) != e4
| e2 = e4 ),
introduced(tautology,[equality,[$cnf( $equal(op(e4,e4),e4) ),[0],$fot(e2)]]) ).
cnf(refute_1_96,plain,
( op(e4,e4) != e4
| e2 = e4 ),
inference(resolve,[$cnf( $equal(op(e4,e4),e2) )],[refute_1_50,refute_1_95]) ).
cnf(refute_1_97,plain,
( e2 = e4
| unit = e0
| unit = e3 ),
inference(resolve,[$cnf( $equal(op(e4,e4),e4) )],[refute_1_94,refute_1_96]) ).
cnf(refute_1_98,plain,
e2 != e4,
inference(canonicalize,[],[normalize_1_20]) ).
cnf(refute_1_99,plain,
( unit = e0
| unit = e3 ),
inference(resolve,[$cnf( $equal(e2,e4) )],[refute_1_97,refute_1_98]) ).
cnf(refute_1_100,plain,
( op(unit,e1) != e1
| unit != e0
| op(e0,e1) = e1 ),
introduced(tautology,[equality,[$cnf( $equal(op(unit,e1),e1) ),[0,0],$fot(e0)]]) ).
cnf(refute_1_101,plain,
( op(unit,e1) != e1
| op(e0,e1) = e1
| unit = e3 ),
inference(resolve,[$cnf( $equal(unit,e0) )],[refute_1_99,refute_1_100]) ).
cnf(refute_1_102,plain,
( op(e0,e1) = e1
| unit = e3 ),
inference(resolve,[$cnf( $equal(op(unit,e1),e1) )],[refute_1_68,refute_1_101]) ).
cnf(refute_1_103,plain,
( op(e0,e1) != e1
| op(op(e0,e1),e1) != e0
| op(e1,e1) = e0 ),
introduced(tautology,[equality,[$cnf( $equal(op(op(e0,e1),e1),e0) ),[0,0],$fot(e1)]]) ).
cnf(refute_1_104,plain,
( op(op(e0,e1),e1) != e0
| op(e1,e1) = e0
| unit = e3 ),
inference(resolve,[$cnf( $equal(op(e0,e1),e1) )],[refute_1_102,refute_1_103]) ).
cnf(refute_1_105,plain,
( op(e1,e1) = e0
| unit = e3 ),
inference(resolve,[$cnf( $equal(op(op(e0,e1),e1),e0) )],[refute_1_67,refute_1_104]) ).
cnf(refute_1_106,plain,
( e4 = e0
| unit = e3 ),
inference(resolve,[$cnf( $equal(op(e1,e1),e0) )],[refute_1_105,refute_1_8]) ).
cnf(refute_1_107,plain,
unit = e3,
inference(resolve,[$cnf( $equal(e4,e0) )],[refute_1_106,refute_1_64]) ).
cnf(refute_1_108,plain,
op(e3,unit) = op(e3,unit),
introduced(tautology,[refl,[$fot(op(e3,unit))]]) ).
cnf(refute_1_109,plain,
( op(e3,unit) != op(e3,unit)
| unit != e3
| op(e3,unit) = op(e3,e3) ),
introduced(tautology,[equality,[$cnf( $equal(op(e3,unit),op(e3,unit)) ),[1,1],$fot(e3)]]) ).
cnf(refute_1_110,plain,
( unit != e3
| op(e3,unit) = op(e3,e3) ),
inference(resolve,[$cnf( $equal(op(e3,unit),op(e3,unit)) )],[refute_1_108,refute_1_109]) ).
cnf(refute_1_111,plain,
op(e3,unit) = op(e3,e3),
inference(resolve,[$cnf( $equal(unit,e3) )],[refute_1_107,refute_1_110]) ).
cnf(refute_1_112,plain,
( op(e3,unit) != e3
| op(e3,unit) != op(e3,e3)
| op(e3,e3) = e3 ),
introduced(tautology,[equality,[$cnf( $equal(op(e3,unit),e3) ),[0],$fot(op(e3,e3))]]) ).
cnf(refute_1_113,plain,
( op(e3,unit) != e3
| op(e3,e3) = e3 ),
inference(resolve,[$cnf( $equal(op(e3,unit),op(e3,e3)) )],[refute_1_111,refute_1_112]) ).
cnf(refute_1_114,plain,
op(e3,e3) = e3,
inference(resolve,[$cnf( $equal(op(e3,unit),e3) )],[refute_1_66,refute_1_113]) ).
cnf(refute_1_115,plain,
( op(e3,e3) != e0
| op(e3,e3) != e3
| e3 = e0 ),
introduced(tautology,[equality,[$cnf( $equal(op(e3,e3),e0) ),[0],$fot(e3)]]) ).
cnf(refute_1_116,plain,
( op(e3,e3) != e0
| e3 = e0 ),
inference(resolve,[$cnf( $equal(op(e3,e3),e3) )],[refute_1_114,refute_1_115]) ).
cnf(refute_1_117,plain,
( e3 = e0
| op(e0,e0) = e0 ),
inference(resolve,[$cnf( $equal(op(e3,e3),e0) )],[refute_1_65,refute_1_116]) ).
cnf(refute_1_118,plain,
op(e0,e0) = e0,
inference(resolve,[$cnf( $equal(e3,e0) )],[refute_1_117,refute_1_60]) ).
cnf(refute_1_119,plain,
op(e0,e0) != op(e0,e3),
inference(canonicalize,[],[normalize_1_21]) ).
cnf(refute_1_120,plain,
op(e0,unit) = e0,
inference(canonicalize,[],[normalize_1_22]) ).
cnf(refute_1_121,plain,
op(e0,unit) = op(e0,unit),
introduced(tautology,[refl,[$fot(op(e0,unit))]]) ).
cnf(refute_1_122,plain,
( op(e0,unit) != op(e0,unit)
| unit != e3
| op(e0,unit) = op(e0,e3) ),
introduced(tautology,[equality,[$cnf( $equal(op(e0,unit),op(e0,unit)) ),[1,1],$fot(e3)]]) ).
cnf(refute_1_123,plain,
( unit != e3
| op(e0,unit) = op(e0,e3) ),
inference(resolve,[$cnf( $equal(op(e0,unit),op(e0,unit)) )],[refute_1_121,refute_1_122]) ).
cnf(refute_1_124,plain,
op(e0,unit) = op(e0,e3),
inference(resolve,[$cnf( $equal(unit,e3) )],[refute_1_107,refute_1_123]) ).
cnf(refute_1_125,plain,
( op(e0,unit) != e0
| op(e0,unit) != op(e0,e3)
| op(e0,e3) = e0 ),
introduced(tautology,[equality,[$cnf( $equal(op(e0,unit),e0) ),[0],$fot(op(e0,e3))]]) ).
cnf(refute_1_126,plain,
( op(e0,unit) != e0
| op(e0,e3) = e0 ),
inference(resolve,[$cnf( $equal(op(e0,unit),op(e0,e3)) )],[refute_1_124,refute_1_125]) ).
cnf(refute_1_127,plain,
op(e0,e3) = e0,
inference(resolve,[$cnf( $equal(op(e0,unit),e0) )],[refute_1_120,refute_1_126]) ).
cnf(refute_1_128,plain,
( op(e0,e0) != e0
| op(e0,e3) != e0
| op(e0,e0) = op(e0,e3) ),
introduced(tautology,[equality,[$cnf( ~ $equal(op(e0,e0),op(e0,e3)) ),[1],$fot(e0)]]) ).
cnf(refute_1_129,plain,
( op(e0,e0) != e0
| op(e0,e0) = op(e0,e3) ),
inference(resolve,[$cnf( $equal(op(e0,e3),e0) )],[refute_1_127,refute_1_128]) ).
cnf(refute_1_130,plain,
op(e0,e0) != e0,
inference(resolve,[$cnf( $equal(op(e0,e0),op(e0,e3)) )],[refute_1_129,refute_1_119]) ).
cnf(refute_1_131,plain,
$false,
inference(resolve,[$cnf( $equal(op(e0,e0),e0) )],[refute_1_118,refute_1_130]) ).
fof(negate_2_0,plain,
~ ( ( ( op(e0,e0) = e0
| op(e1,e1) = e0
| op(e2,e2) = e0
| op(e3,e3) = e0
| op(e4,e4) = e0 )
& ( op(e0,e0) = e1
| op(e1,e1) = e1
| op(e2,e2) = e1
| op(e3,e3) = e1
| op(e4,e4) = e1 )
& ( op(e0,e0) = e2
| op(e1,e1) = e2
| op(e2,e2) = e2
| op(e3,e3) = e2
| op(e4,e4) = e2 )
& ( op(e0,e0) = e3
| op(e1,e1) = e3
| op(e2,e2) = e3
| op(e3,e3) = e3
| op(e4,e4) = e3 )
& ( op(e0,e0) = e4
| op(e1,e1) = e4
| op(e2,e2) = e4
| op(e3,e3) = e4
| op(e4,e4) = e4 )
& ~ ( op(e0,e0) != op(e0,e0)
& op(op(e0,e0),e0) = e0
& op(op(e0,e0),e0) != e0 )
& ~ ( op(e1,e0) != op(e0,e1)
& op(op(e0,e1),e1) = e0
& op(op(e0,e1),e0) != e1 )
& op(e2,e0) != op(e0,e2)
& op(op(e0,e2),e2) = e0 )
=> op(op(e0,e2),e0) = e2 ),
inference(negate,[],[subgoal_2]) ).
fof(normalize_2_0,plain,
( op(e2,e0) != op(e0,e2)
& op(op(e0,e2),e0) != e2
& op(op(e0,e2),e2) = e0
& ( op(op(e0,e1),e1) != e0
| op(e1,e0) = op(e0,e1)
| op(op(e0,e1),e0) = e1 )
& ( op(e0,e0) = e0
| op(e1,e1) = e0
| op(e2,e2) = e0
| op(e3,e3) = e0
| op(e4,e4) = e0 )
& ( op(e0,e0) = e1
| op(e1,e1) = e1
| op(e2,e2) = e1
| op(e3,e3) = e1
| op(e4,e4) = e1 )
& ( op(e0,e0) = e2
| op(e1,e1) = e2
| op(e2,e2) = e2
| op(e3,e3) = e2
| op(e4,e4) = e2 )
& ( op(e0,e0) = e3
| op(e1,e1) = e3
| op(e2,e2) = e3
| op(e3,e3) = e3
| op(e4,e4) = e3 )
& ( op(e0,e0) = e4
| op(e1,e1) = e4
| op(e2,e2) = e4
| op(e3,e3) = e4
| op(e4,e4) = e4 ) ),
inference(canonicalize,[],[negate_2_0]) ).
fof(normalize_2_1,plain,
( op(e0,e0) = e0
| op(e1,e1) = e0
| op(e2,e2) = e0
| op(e3,e3) = e0
| op(e4,e4) = e0 ),
inference(conjunct,[],[normalize_2_0]) ).
fof(normalize_2_2,plain,
( e0 = op(e1,op(op(e1,e1),op(e1,e1)))
& e2 = op(op(e1,e1),op(e1,e1))
& e3 = op(op(op(e1,e1),op(e1,e1)),op(op(e1,e1),op(e1,e1)))
& e4 = op(e1,e1) ),
inference(canonicalize,[],[ax6]) ).
fof(normalize_2_3,plain,
e4 = op(e1,e1),
inference(conjunct,[],[normalize_2_2]) ).
fof(normalize_2_4,plain,
e3 = op(op(op(e1,e1),op(e1,e1)),op(op(e1,e1),op(e1,e1))),
inference(conjunct,[],[normalize_2_2]) ).
fof(normalize_2_5,plain,
e2 = op(op(e1,e1),op(e1,e1)),
inference(conjunct,[],[normalize_2_2]) ).
fof(normalize_2_6,plain,
( e0 != e1
& e0 != e2
& e0 != e3
& e0 != e4
& e1 != e2
& e1 != e3
& e1 != e4
& e2 != e3
& e2 != e4
& e3 != e4 ),
inference(canonicalize,[],[ax5]) ).
fof(normalize_2_7,plain,
e0 != e2,
inference(conjunct,[],[normalize_2_6]) ).
fof(normalize_2_8,plain,
e0 != e3,
inference(conjunct,[],[normalize_2_6]) ).
fof(normalize_2_9,plain,
e0 != e4,
inference(conjunct,[],[normalize_2_6]) ).
fof(normalize_2_10,plain,
( op(e0,unit) = e0
& op(e1,unit) = e1
& op(e2,unit) = e2
& op(e3,unit) = e3
& op(e4,unit) = e4
& op(unit,e0) = e0
& op(unit,e1) = e1
& op(unit,e2) = e2
& op(unit,e3) = e3
& op(unit,e4) = e4
& ( unit = e0
| unit = e1
| unit = e2
| unit = e3
| unit = e4 ) ),
inference(canonicalize,[],[ax2]) ).
fof(normalize_2_11,plain,
op(e3,unit) = e3,
inference(conjunct,[],[normalize_2_10]) ).
fof(normalize_2_12,plain,
op(op(e0,e2),e2) = e0,
inference(conjunct,[],[normalize_2_0]) ).
fof(normalize_2_13,plain,
op(unit,e2) = e2,
inference(conjunct,[],[normalize_2_10]) ).
fof(normalize_2_14,plain,
op(unit,e4) = e4,
inference(conjunct,[],[normalize_2_10]) ).
fof(normalize_2_15,plain,
op(unit,e3) = e3,
inference(conjunct,[],[normalize_2_10]) ).
fof(normalize_2_16,plain,
( unit = e0
| unit = e1
| unit = e2
| unit = e3
| unit = e4 ),
inference(conjunct,[],[normalize_2_10]) ).
fof(normalize_2_17,plain,
( op(e0,e0) != op(e0,e1)
& op(e0,e0) != op(e0,e2)
& op(e0,e0) != op(e0,e3)
& op(e0,e0) != op(e0,e4)
& op(e0,e0) != op(e1,e0)
& op(e0,e0) != op(e2,e0)
& op(e0,e0) != op(e3,e0)
& op(e0,e0) != op(e4,e0)
& op(e0,e1) != op(e0,e2)
& op(e0,e1) != op(e0,e3)
& op(e0,e1) != op(e0,e4)
& op(e0,e1) != op(e1,e1)
& op(e0,e1) != op(e2,e1)
& op(e0,e1) != op(e3,e1)
& op(e0,e1) != op(e4,e1)
& op(e0,e2) != op(e0,e3)
& op(e0,e2) != op(e0,e4)
& op(e0,e2) != op(e1,e2)
& op(e0,e2) != op(e2,e2)
& op(e0,e2) != op(e3,e2)
& op(e0,e2) != op(e4,e2)
& op(e0,e3) != op(e0,e4)
& op(e0,e3) != op(e1,e3)
& op(e0,e3) != op(e2,e3)
& op(e0,e3) != op(e3,e3)
& op(e0,e3) != op(e4,e3)
& op(e0,e4) != op(e1,e4)
& op(e0,e4) != op(e2,e4)
& op(e0,e4) != op(e3,e4)
& op(e0,e4) != op(e4,e4)
& op(e1,e0) != op(e1,e1)
& op(e1,e0) != op(e1,e2)
& op(e1,e0) != op(e1,e3)
& op(e1,e0) != op(e1,e4)
& op(e1,e0) != op(e2,e0)
& op(e1,e0) != op(e3,e0)
& op(e1,e0) != op(e4,e0)
& op(e1,e1) != op(e1,e2)
& op(e1,e1) != op(e1,e3)
& op(e1,e1) != op(e1,e4)
& op(e1,e1) != op(e2,e1)
& op(e1,e1) != op(e3,e1)
& op(e1,e1) != op(e4,e1)
& op(e1,e2) != op(e1,e3)
& op(e1,e2) != op(e1,e4)
& op(e1,e2) != op(e2,e2)
& op(e1,e2) != op(e3,e2)
& op(e1,e2) != op(e4,e2)
& op(e1,e3) != op(e1,e4)
& op(e1,e3) != op(e2,e3)
& op(e1,e3) != op(e3,e3)
& op(e1,e3) != op(e4,e3)
& op(e1,e4) != op(e2,e4)
& op(e1,e4) != op(e3,e4)
& op(e1,e4) != op(e4,e4)
& op(e2,e0) != op(e2,e1)
& op(e2,e0) != op(e2,e2)
& op(e2,e0) != op(e2,e3)
& op(e2,e0) != op(e2,e4)
& op(e2,e0) != op(e3,e0)
& op(e2,e0) != op(e4,e0)
& op(e2,e1) != op(e2,e2)
& op(e2,e1) != op(e2,e3)
& op(e2,e1) != op(e2,e4)
& op(e2,e1) != op(e3,e1)
& op(e2,e1) != op(e4,e1)
& op(e2,e2) != op(e2,e3)
& op(e2,e2) != op(e2,e4)
& op(e2,e2) != op(e3,e2)
& op(e2,e2) != op(e4,e2)
& op(e2,e3) != op(e2,e4)
& op(e2,e3) != op(e3,e3)
& op(e2,e3) != op(e4,e3)
& op(e2,e4) != op(e3,e4)
& op(e2,e4) != op(e4,e4)
& op(e3,e0) != op(e3,e1)
& op(e3,e0) != op(e3,e2)
& op(e3,e0) != op(e3,e3)
& op(e3,e0) != op(e3,e4)
& op(e3,e0) != op(e4,e0)
& op(e3,e1) != op(e3,e2)
& op(e3,e1) != op(e3,e3)
& op(e3,e1) != op(e3,e4)
& op(e3,e1) != op(e4,e1)
& op(e3,e2) != op(e3,e3)
& op(e3,e2) != op(e3,e4)
& op(e3,e2) != op(e4,e2)
& op(e3,e3) != op(e3,e4)
& op(e3,e3) != op(e4,e3)
& op(e3,e4) != op(e4,e4)
& op(e4,e0) != op(e4,e1)
& op(e4,e0) != op(e4,e2)
& op(e4,e0) != op(e4,e3)
& op(e4,e0) != op(e4,e4)
& op(e4,e1) != op(e4,e2)
& op(e4,e1) != op(e4,e3)
& op(e4,e1) != op(e4,e4)
& op(e4,e2) != op(e4,e3)
& op(e4,e2) != op(e4,e4)
& op(e4,e3) != op(e4,e4) ),
inference(canonicalize,[],[ax4]) ).
fof(normalize_2_18,plain,
op(e1,e1) != op(e1,e4),
inference(conjunct,[],[normalize_2_17]) ).
fof(normalize_2_19,plain,
op(e2,e2) != op(e2,e3),
inference(conjunct,[],[normalize_2_17]) ).
fof(normalize_2_20,plain,
e2 != e4,
inference(conjunct,[],[normalize_2_6]) ).
fof(normalize_2_21,plain,
op(e0,e0) != op(e0,e3),
inference(conjunct,[],[normalize_2_17]) ).
fof(normalize_2_22,plain,
op(e0,unit) = e0,
inference(conjunct,[],[normalize_2_10]) ).
cnf(refute_2_0,plain,
( op(e0,e0) = e0
| op(e1,e1) = e0
| op(e2,e2) = e0
| op(e3,e3) = e0
| op(e4,e4) = e0 ),
inference(canonicalize,[],[normalize_2_1]) ).
cnf(refute_2_1,plain,
e4 = op(e1,e1),
inference(canonicalize,[],[normalize_2_3]) ).
cnf(refute_2_2,plain,
X = X,
introduced(tautology,[refl,[$fot(X)]]) ).
cnf(refute_2_3,plain,
( X != X
| X != Y
| Y = X ),
introduced(tautology,[equality,[$cnf( $equal(X,X) ),[0],$fot(Y)]]) ).
cnf(refute_2_4,plain,
( X != Y
| Y = X ),
inference(resolve,[$cnf( $equal(X,X) )],[refute_2_2,refute_2_3]) ).
cnf(refute_2_5,plain,
( e4 != op(e1,e1)
| op(e1,e1) = e4 ),
inference(subst,[],[refute_2_4:[bind(X,$fot(e4)),bind(Y,$fot(op(e1,e1)))]]) ).
cnf(refute_2_6,plain,
op(e1,e1) = e4,
inference(resolve,[$cnf( $equal(e4,op(e1,e1)) )],[refute_2_1,refute_2_5]) ).
cnf(refute_2_7,plain,
( op(e1,e1) != e0
| op(e1,e1) != e4
| e4 = e0 ),
introduced(tautology,[equality,[$cnf( $equal(op(e1,e1),e0) ),[0],$fot(e4)]]) ).
cnf(refute_2_8,plain,
( op(e1,e1) != e0
| e4 = e0 ),
inference(resolve,[$cnf( $equal(op(e1,e1),e4) )],[refute_2_6,refute_2_7]) ).
cnf(refute_2_9,plain,
( e4 = e0
| op(e0,e0) = e0
| op(e2,e2) = e0
| op(e3,e3) = e0
| op(e4,e4) = e0 ),
inference(resolve,[$cnf( $equal(op(e1,e1),e0) )],[refute_2_0,refute_2_8]) ).
cnf(refute_2_10,plain,
e3 = op(op(op(e1,e1),op(e1,e1)),op(op(e1,e1),op(e1,e1))),
inference(canonicalize,[],[normalize_2_4]) ).
cnf(refute_2_11,plain,
e2 = op(op(e1,e1),op(e1,e1)),
inference(canonicalize,[],[normalize_2_5]) ).
cnf(refute_2_12,plain,
( e2 != op(op(e1,e1),op(e1,e1))
| op(op(e1,e1),op(e1,e1)) = e2 ),
inference(subst,[],[refute_2_4:[bind(X,$fot(e2)),bind(Y,$fot(op(op(e1,e1),op(e1,e1))))]]) ).
cnf(refute_2_13,plain,
op(op(e1,e1),op(e1,e1)) = e2,
inference(resolve,[$cnf( $equal(e2,op(op(e1,e1),op(e1,e1))) )],[refute_2_11,refute_2_12]) ).
cnf(refute_2_14,plain,
op(e2,op(op(e1,e1),op(e1,e1))) = op(e2,op(op(e1,e1),op(e1,e1))),
introduced(tautology,[refl,[$fot(op(e2,op(op(e1,e1),op(e1,e1))))]]) ).
cnf(refute_2_15,plain,
( op(e2,op(op(e1,e1),op(e1,e1))) != op(e2,op(op(e1,e1),op(e1,e1)))
| op(op(e1,e1),op(e1,e1)) != e2
| op(e2,op(op(e1,e1),op(e1,e1))) = op(e2,e2) ),
introduced(tautology,[equality,[$cnf( $equal(op(e2,op(op(e1,e1),op(e1,e1))),op(e2,op(op(e1,e1),op(e1,e1)))) ),[1,1],$fot(e2)]]) ).
cnf(refute_2_16,plain,
( op(op(e1,e1),op(e1,e1)) != e2
| op(e2,op(op(e1,e1),op(e1,e1))) = op(e2,e2) ),
inference(resolve,[$cnf( $equal(op(e2,op(op(e1,e1),op(e1,e1))),op(e2,op(op(e1,e1),op(e1,e1)))) )],[refute_2_14,refute_2_15]) ).
cnf(refute_2_17,plain,
op(e2,op(op(e1,e1),op(e1,e1))) = op(e2,e2),
inference(resolve,[$cnf( $equal(op(op(e1,e1),op(e1,e1)),e2) )],[refute_2_13,refute_2_16]) ).
cnf(refute_2_18,plain,
op(op(op(e1,e1),op(e1,e1)),op(op(e1,e1),op(e1,e1))) = op(op(op(e1,e1),op(e1,e1)),op(op(e1,e1),op(e1,e1))),
introduced(tautology,[refl,[$fot(op(op(op(e1,e1),op(e1,e1)),op(op(e1,e1),op(e1,e1))))]]) ).
cnf(refute_2_19,plain,
( op(op(e1,e1),op(e1,e1)) != e2
| op(op(op(e1,e1),op(e1,e1)),op(op(e1,e1),op(e1,e1))) != op(op(op(e1,e1),op(e1,e1)),op(op(e1,e1),op(e1,e1)))
| op(op(op(e1,e1),op(e1,e1)),op(op(e1,e1),op(e1,e1))) = op(e2,op(op(e1,e1),op(e1,e1))) ),
introduced(tautology,[equality,[$cnf( $equal(op(op(op(e1,e1),op(e1,e1)),op(op(e1,e1),op(e1,e1))),op(op(op(e1,e1),op(e1,e1)),op(op(e1,e1),op(e1,e1)))) ),[1,0],$fot(e2)]]) ).
cnf(refute_2_20,plain,
( op(op(e1,e1),op(e1,e1)) != e2
| op(op(op(e1,e1),op(e1,e1)),op(op(e1,e1),op(e1,e1))) = op(e2,op(op(e1,e1),op(e1,e1))) ),
inference(resolve,[$cnf( $equal(op(op(op(e1,e1),op(e1,e1)),op(op(e1,e1),op(e1,e1))),op(op(op(e1,e1),op(e1,e1)),op(op(e1,e1),op(e1,e1)))) )],[refute_2_18,refute_2_19]) ).
cnf(refute_2_21,plain,
op(op(op(e1,e1),op(e1,e1)),op(op(e1,e1),op(e1,e1))) = op(e2,op(op(e1,e1),op(e1,e1))),
inference(resolve,[$cnf( $equal(op(op(e1,e1),op(e1,e1)),e2) )],[refute_2_13,refute_2_20]) ).
cnf(refute_2_22,plain,
( Y != X
| Y != Z
| X = Z ),
introduced(tautology,[equality,[$cnf( $equal(Y,Z) ),[0],$fot(X)]]) ).
cnf(refute_2_23,plain,
( X != Y
| Y != Z
| X = Z ),
inference(resolve,[$cnf( $equal(Y,X) )],[refute_2_4,refute_2_22]) ).
cnf(refute_2_24,plain,
( op(e2,op(op(e1,e1),op(e1,e1))) != op(e2,e2)
| op(op(op(e1,e1),op(e1,e1)),op(op(e1,e1),op(e1,e1))) != op(e2,op(op(e1,e1),op(e1,e1)))
| op(op(op(e1,e1),op(e1,e1)),op(op(e1,e1),op(e1,e1))) = op(e2,e2) ),
inference(subst,[],[refute_2_23:[bind(X,$fot(op(op(op(e1,e1),op(e1,e1)),op(op(e1,e1),op(e1,e1))))),bind(Y,$fot(op(e2,op(op(e1,e1),op(e1,e1))))),bind(Z,$fot(op(e2,e2)))]]) ).
cnf(refute_2_25,plain,
( op(e2,op(op(e1,e1),op(e1,e1))) != op(e2,e2)
| op(op(op(e1,e1),op(e1,e1)),op(op(e1,e1),op(e1,e1))) = op(e2,e2) ),
inference(resolve,[$cnf( $equal(op(op(op(e1,e1),op(e1,e1)),op(op(e1,e1),op(e1,e1))),op(e2,op(op(e1,e1),op(e1,e1)))) )],[refute_2_21,refute_2_24]) ).
cnf(refute_2_26,plain,
op(op(op(e1,e1),op(e1,e1)),op(op(e1,e1),op(e1,e1))) = op(e2,e2),
inference(resolve,[$cnf( $equal(op(e2,op(op(e1,e1),op(e1,e1))),op(e2,e2)) )],[refute_2_17,refute_2_25]) ).
cnf(refute_2_27,plain,
( e3 != op(op(op(e1,e1),op(e1,e1)),op(op(e1,e1),op(e1,e1)))
| op(op(op(e1,e1),op(e1,e1)),op(op(e1,e1),op(e1,e1))) != op(e2,e2)
| e3 = op(e2,e2) ),
introduced(tautology,[equality,[$cnf( ~ $equal(e3,op(e2,e2)) ),[0],$fot(op(op(op(e1,e1),op(e1,e1)),op(op(e1,e1),op(e1,e1))))]]) ).
cnf(refute_2_28,plain,
( e3 != op(op(op(e1,e1),op(e1,e1)),op(op(e1,e1),op(e1,e1)))
| e3 = op(e2,e2) ),
inference(resolve,[$cnf( $equal(op(op(op(e1,e1),op(e1,e1)),op(op(e1,e1),op(e1,e1))),op(e2,e2)) )],[refute_2_26,refute_2_27]) ).
cnf(refute_2_29,plain,
e3 = op(e2,e2),
inference(resolve,[$cnf( $equal(e3,op(op(op(e1,e1),op(e1,e1)),op(op(e1,e1),op(e1,e1)))) )],[refute_2_10,refute_2_28]) ).
cnf(refute_2_30,plain,
( e3 != op(e2,e2)
| op(e2,e2) = e3 ),
inference(subst,[],[refute_2_4:[bind(X,$fot(e3)),bind(Y,$fot(op(e2,e2)))]]) ).
cnf(refute_2_31,plain,
op(e2,e2) = e3,
inference(resolve,[$cnf( $equal(e3,op(e2,e2)) )],[refute_2_29,refute_2_30]) ).
cnf(refute_2_32,plain,
( op(e2,e2) != e0
| op(e2,e2) != e3
| e3 = e0 ),
introduced(tautology,[equality,[$cnf( $equal(op(e2,e2),e0) ),[0],$fot(e3)]]) ).
cnf(refute_2_33,plain,
( op(e2,e2) != e0
| e3 = e0 ),
inference(resolve,[$cnf( $equal(op(e2,e2),e3) )],[refute_2_31,refute_2_32]) ).
cnf(refute_2_34,plain,
( e3 = e0
| e4 = e0
| op(e0,e0) = e0
| op(e3,e3) = e0
| op(e4,e4) = e0 ),
inference(resolve,[$cnf( $equal(op(e2,e2),e0) )],[refute_2_9,refute_2_33]) ).
cnf(refute_2_35,plain,
op(e4,op(e1,e1)) = op(e4,op(e1,e1)),
introduced(tautology,[refl,[$fot(op(e4,op(e1,e1)))]]) ).
cnf(refute_2_36,plain,
( op(e1,e1) != e4
| op(e4,op(e1,e1)) != op(e4,op(e1,e1))
| op(e4,op(e1,e1)) = op(e4,e4) ),
introduced(tautology,[equality,[$cnf( $equal(op(e4,op(e1,e1)),op(e4,op(e1,e1))) ),[1,1],$fot(e4)]]) ).
cnf(refute_2_37,plain,
( op(e1,e1) != e4
| op(e4,op(e1,e1)) = op(e4,e4) ),
inference(resolve,[$cnf( $equal(op(e4,op(e1,e1)),op(e4,op(e1,e1))) )],[refute_2_35,refute_2_36]) ).
cnf(refute_2_38,plain,
op(e4,op(e1,e1)) = op(e4,e4),
inference(resolve,[$cnf( $equal(op(e1,e1),e4) )],[refute_2_6,refute_2_37]) ).
cnf(refute_2_39,plain,
op(op(e1,e1),op(e1,e1)) = op(op(e1,e1),op(e1,e1)),
introduced(tautology,[refl,[$fot(op(op(e1,e1),op(e1,e1)))]]) ).
cnf(refute_2_40,plain,
( op(e1,e1) != e4
| op(op(e1,e1),op(e1,e1)) != op(op(e1,e1),op(e1,e1))
| op(op(e1,e1),op(e1,e1)) = op(e4,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(e4)]]) ).
cnf(refute_2_41,plain,
( op(e1,e1) != e4
| op(op(e1,e1),op(e1,e1)) = op(e4,op(e1,e1)) ),
inference(resolve,[$cnf( $equal(op(op(e1,e1),op(e1,e1)),op(op(e1,e1),op(e1,e1))) )],[refute_2_39,refute_2_40]) ).
cnf(refute_2_42,plain,
op(op(e1,e1),op(e1,e1)) = op(e4,op(e1,e1)),
inference(resolve,[$cnf( $equal(op(e1,e1),e4) )],[refute_2_6,refute_2_41]) ).
cnf(refute_2_43,plain,
( op(e4,op(e1,e1)) != op(e4,e4)
| op(op(e1,e1),op(e1,e1)) != op(e4,op(e1,e1))
| op(op(e1,e1),op(e1,e1)) = op(e4,e4) ),
inference(subst,[],[refute_2_23:[bind(X,$fot(op(op(e1,e1),op(e1,e1)))),bind(Y,$fot(op(e4,op(e1,e1)))),bind(Z,$fot(op(e4,e4)))]]) ).
cnf(refute_2_44,plain,
( op(e4,op(e1,e1)) != op(e4,e4)
| op(op(e1,e1),op(e1,e1)) = op(e4,e4) ),
inference(resolve,[$cnf( $equal(op(op(e1,e1),op(e1,e1)),op(e4,op(e1,e1))) )],[refute_2_42,refute_2_43]) ).
cnf(refute_2_45,plain,
op(op(e1,e1),op(e1,e1)) = op(e4,e4),
inference(resolve,[$cnf( $equal(op(e4,op(e1,e1)),op(e4,e4)) )],[refute_2_38,refute_2_44]) ).
cnf(refute_2_46,plain,
( e2 != op(op(e1,e1),op(e1,e1))
| op(op(e1,e1),op(e1,e1)) != op(e4,e4)
| e2 = op(e4,e4) ),
introduced(tautology,[equality,[$cnf( ~ $equal(e2,op(e4,e4)) ),[0],$fot(op(op(e1,e1),op(e1,e1)))]]) ).
cnf(refute_2_47,plain,
( e2 != op(op(e1,e1),op(e1,e1))
| e2 = op(e4,e4) ),
inference(resolve,[$cnf( $equal(op(op(e1,e1),op(e1,e1)),op(e4,e4)) )],[refute_2_45,refute_2_46]) ).
cnf(refute_2_48,plain,
e2 = op(e4,e4),
inference(resolve,[$cnf( $equal(e2,op(op(e1,e1),op(e1,e1))) )],[refute_2_11,refute_2_47]) ).
cnf(refute_2_49,plain,
( e2 != op(e4,e4)
| op(e4,e4) = e2 ),
inference(subst,[],[refute_2_4:[bind(X,$fot(e2)),bind(Y,$fot(op(e4,e4)))]]) ).
cnf(refute_2_50,plain,
op(e4,e4) = e2,
inference(resolve,[$cnf( $equal(e2,op(e4,e4)) )],[refute_2_48,refute_2_49]) ).
cnf(refute_2_51,plain,
( op(e4,e4) != e0
| op(e4,e4) != e2
| e2 = e0 ),
introduced(tautology,[equality,[$cnf( $equal(op(e4,e4),e0) ),[0],$fot(e2)]]) ).
cnf(refute_2_52,plain,
( op(e4,e4) != e0
| e2 = e0 ),
inference(resolve,[$cnf( $equal(op(e4,e4),e2) )],[refute_2_50,refute_2_51]) ).
cnf(refute_2_53,plain,
( e2 = e0
| e3 = e0
| e4 = e0
| op(e0,e0) = e0
| op(e3,e3) = e0 ),
inference(resolve,[$cnf( $equal(op(e4,e4),e0) )],[refute_2_34,refute_2_52]) ).
cnf(refute_2_54,plain,
e0 != e2,
inference(canonicalize,[],[normalize_2_7]) ).
cnf(refute_2_55,plain,
( e2 != e0
| e0 = e2 ),
inference(subst,[],[refute_2_4:[bind(X,$fot(e2)),bind(Y,$fot(e0))]]) ).
cnf(refute_2_56,plain,
e2 != e0,
inference(resolve,[$cnf( $equal(e0,e2) )],[refute_2_55,refute_2_54]) ).
cnf(refute_2_57,plain,
( e3 = e0
| e4 = e0
| op(e0,e0) = e0
| op(e3,e3) = e0 ),
inference(resolve,[$cnf( $equal(e2,e0) )],[refute_2_53,refute_2_56]) ).
cnf(refute_2_58,plain,
e0 != e3,
inference(canonicalize,[],[normalize_2_8]) ).
cnf(refute_2_59,plain,
( e3 != e0
| e0 = e3 ),
inference(subst,[],[refute_2_4:[bind(X,$fot(e3)),bind(Y,$fot(e0))]]) ).
cnf(refute_2_60,plain,
e3 != e0,
inference(resolve,[$cnf( $equal(e0,e3) )],[refute_2_59,refute_2_58]) ).
cnf(refute_2_61,plain,
( e4 = e0
| op(e0,e0) = e0
| op(e3,e3) = e0 ),
inference(resolve,[$cnf( $equal(e3,e0) )],[refute_2_57,refute_2_60]) ).
cnf(refute_2_62,plain,
e0 != e4,
inference(canonicalize,[],[normalize_2_9]) ).
cnf(refute_2_63,plain,
( e4 != e0
| e0 = e4 ),
inference(subst,[],[refute_2_4:[bind(X,$fot(e4)),bind(Y,$fot(e0))]]) ).
cnf(refute_2_64,plain,
e4 != e0,
inference(resolve,[$cnf( $equal(e0,e4) )],[refute_2_63,refute_2_62]) ).
cnf(refute_2_65,plain,
( op(e0,e0) = e0
| op(e3,e3) = e0 ),
inference(resolve,[$cnf( $equal(e4,e0) )],[refute_2_61,refute_2_64]) ).
cnf(refute_2_66,plain,
op(e3,unit) = e3,
inference(canonicalize,[],[normalize_2_11]) ).
cnf(refute_2_67,plain,
op(op(e0,e2),e2) = e0,
inference(canonicalize,[],[normalize_2_12]) ).
cnf(refute_2_68,plain,
op(unit,e2) = e2,
inference(canonicalize,[],[normalize_2_13]) ).
cnf(refute_2_69,plain,
op(unit,e4) = e4,
inference(canonicalize,[],[normalize_2_14]) ).
cnf(refute_2_70,plain,
op(unit,e3) = e3,
inference(canonicalize,[],[normalize_2_15]) ).
cnf(refute_2_71,plain,
( unit = e0
| unit = e1
| unit = e2
| unit = e3
| unit = e4 ),
inference(canonicalize,[],[normalize_2_16]) ).
cnf(refute_2_72,plain,
( op(unit,e4) != e4
| unit != e1
| op(e1,e4) = e4 ),
introduced(tautology,[equality,[$cnf( $equal(op(unit,e4),e4) ),[0,0],$fot(e1)]]) ).
cnf(refute_2_73,plain,
( op(unit,e4) != e4
| op(e1,e4) = e4
| unit = e0
| unit = e2
| unit = e3
| unit = e4 ),
inference(resolve,[$cnf( $equal(unit,e1) )],[refute_2_71,refute_2_72]) ).
cnf(refute_2_74,plain,
( op(e1,e4) = e4
| unit = e0
| unit = e2
| unit = e3
| unit = e4 ),
inference(resolve,[$cnf( $equal(op(unit,e4),e4) )],[refute_2_69,refute_2_73]) ).
cnf(refute_2_75,plain,
op(e1,e1) != op(e1,e4),
inference(canonicalize,[],[normalize_2_18]) ).
cnf(refute_2_76,plain,
( e4 != op(e1,e4)
| op(e1,e1) != e4
| op(e1,e1) = op(e1,e4) ),
introduced(tautology,[equality,[$cnf( $equal(op(e1,e1),e4) ),[1],$fot(op(e1,e4))]]) ).
cnf(refute_2_77,plain,
( e4 != op(e1,e4)
| op(e1,e1) = op(e1,e4) ),
inference(resolve,[$cnf( $equal(op(e1,e1),e4) )],[refute_2_6,refute_2_76]) ).
cnf(refute_2_78,plain,
e4 != op(e1,e4),
inference(resolve,[$cnf( $equal(op(e1,e1),op(e1,e4)) )],[refute_2_77,refute_2_75]) ).
cnf(refute_2_79,plain,
( op(e1,e4) != e4
| e4 = op(e1,e4) ),
inference(subst,[],[refute_2_4:[bind(X,$fot(op(e1,e4))),bind(Y,$fot(e4))]]) ).
cnf(refute_2_80,plain,
op(e1,e4) != e4,
inference(resolve,[$cnf( $equal(e4,op(e1,e4)) )],[refute_2_79,refute_2_78]) ).
cnf(refute_2_81,plain,
( unit = e0
| unit = e2
| unit = e3
| unit = e4 ),
inference(resolve,[$cnf( $equal(op(e1,e4),e4) )],[refute_2_74,refute_2_80]) ).
cnf(refute_2_82,plain,
( op(unit,e3) != e3
| unit != e2
| op(e2,e3) = e3 ),
introduced(tautology,[equality,[$cnf( $equal(op(unit,e3),e3) ),[0,0],$fot(e2)]]) ).
cnf(refute_2_83,plain,
( op(unit,e3) != e3
| op(e2,e3) = e3
| unit = e0
| unit = e3
| unit = e4 ),
inference(resolve,[$cnf( $equal(unit,e2) )],[refute_2_81,refute_2_82]) ).
cnf(refute_2_84,plain,
( op(e2,e3) = e3
| unit = e0
| unit = e3
| unit = e4 ),
inference(resolve,[$cnf( $equal(op(unit,e3),e3) )],[refute_2_70,refute_2_83]) ).
cnf(refute_2_85,plain,
op(e2,e2) != op(e2,e3),
inference(canonicalize,[],[normalize_2_19]) ).
cnf(refute_2_86,plain,
( e3 != op(e2,e3)
| op(e2,e2) != e3
| op(e2,e2) = op(e2,e3) ),
introduced(tautology,[equality,[$cnf( $equal(op(e2,e2),e3) ),[1],$fot(op(e2,e3))]]) ).
cnf(refute_2_87,plain,
( e3 != op(e2,e3)
| op(e2,e2) = op(e2,e3) ),
inference(resolve,[$cnf( $equal(op(e2,e2),e3) )],[refute_2_31,refute_2_86]) ).
cnf(refute_2_88,plain,
e3 != op(e2,e3),
inference(resolve,[$cnf( $equal(op(e2,e2),op(e2,e3)) )],[refute_2_87,refute_2_85]) ).
cnf(refute_2_89,plain,
( op(e2,e3) != e3
| e3 = op(e2,e3) ),
inference(subst,[],[refute_2_4:[bind(X,$fot(op(e2,e3))),bind(Y,$fot(e3))]]) ).
cnf(refute_2_90,plain,
op(e2,e3) != e3,
inference(resolve,[$cnf( $equal(e3,op(e2,e3)) )],[refute_2_89,refute_2_88]) ).
cnf(refute_2_91,plain,
( unit = e0
| unit = e3
| unit = e4 ),
inference(resolve,[$cnf( $equal(op(e2,e3),e3) )],[refute_2_84,refute_2_90]) ).
cnf(refute_2_92,plain,
( op(unit,e4) != e4
| unit != e4
| op(e4,e4) = e4 ),
introduced(tautology,[equality,[$cnf( $equal(op(unit,e4),e4) ),[0,0],$fot(e4)]]) ).
cnf(refute_2_93,plain,
( op(unit,e4) != e4
| op(e4,e4) = e4
| unit = e0
| unit = e3 ),
inference(resolve,[$cnf( $equal(unit,e4) )],[refute_2_91,refute_2_92]) ).
cnf(refute_2_94,plain,
( op(e4,e4) = e4
| unit = e0
| unit = e3 ),
inference(resolve,[$cnf( $equal(op(unit,e4),e4) )],[refute_2_69,refute_2_93]) ).
cnf(refute_2_95,plain,
( op(e4,e4) != e2
| op(e4,e4) != e4
| e2 = e4 ),
introduced(tautology,[equality,[$cnf( $equal(op(e4,e4),e4) ),[0],$fot(e2)]]) ).
cnf(refute_2_96,plain,
( op(e4,e4) != e4
| e2 = e4 ),
inference(resolve,[$cnf( $equal(op(e4,e4),e2) )],[refute_2_50,refute_2_95]) ).
cnf(refute_2_97,plain,
( e2 = e4
| unit = e0
| unit = e3 ),
inference(resolve,[$cnf( $equal(op(e4,e4),e4) )],[refute_2_94,refute_2_96]) ).
cnf(refute_2_98,plain,
e2 != e4,
inference(canonicalize,[],[normalize_2_20]) ).
cnf(refute_2_99,plain,
( unit = e0
| unit = e3 ),
inference(resolve,[$cnf( $equal(e2,e4) )],[refute_2_97,refute_2_98]) ).
cnf(refute_2_100,plain,
( op(unit,e2) != e2
| unit != e0
| op(e0,e2) = e2 ),
introduced(tautology,[equality,[$cnf( $equal(op(unit,e2),e2) ),[0,0],$fot(e0)]]) ).
cnf(refute_2_101,plain,
( op(unit,e2) != e2
| op(e0,e2) = e2
| unit = e3 ),
inference(resolve,[$cnf( $equal(unit,e0) )],[refute_2_99,refute_2_100]) ).
cnf(refute_2_102,plain,
( op(e0,e2) = e2
| unit = e3 ),
inference(resolve,[$cnf( $equal(op(unit,e2),e2) )],[refute_2_68,refute_2_101]) ).
cnf(refute_2_103,plain,
( op(e0,e2) != e2
| op(op(e0,e2),e2) != e0
| op(e2,e2) = e0 ),
introduced(tautology,[equality,[$cnf( $equal(op(op(e0,e2),e2),e0) ),[0,0],$fot(e2)]]) ).
cnf(refute_2_104,plain,
( op(op(e0,e2),e2) != e0
| op(e2,e2) = e0
| unit = e3 ),
inference(resolve,[$cnf( $equal(op(e0,e2),e2) )],[refute_2_102,refute_2_103]) ).
cnf(refute_2_105,plain,
( op(e2,e2) = e0
| unit = e3 ),
inference(resolve,[$cnf( $equal(op(op(e0,e2),e2),e0) )],[refute_2_67,refute_2_104]) ).
cnf(refute_2_106,plain,
( e3 = e0
| unit = e3 ),
inference(resolve,[$cnf( $equal(op(e2,e2),e0) )],[refute_2_105,refute_2_33]) ).
cnf(refute_2_107,plain,
unit = e3,
inference(resolve,[$cnf( $equal(e3,e0) )],[refute_2_106,refute_2_60]) ).
cnf(refute_2_108,plain,
op(e3,unit) = op(e3,unit),
introduced(tautology,[refl,[$fot(op(e3,unit))]]) ).
cnf(refute_2_109,plain,
( op(e3,unit) != op(e3,unit)
| unit != e3
| op(e3,unit) = op(e3,e3) ),
introduced(tautology,[equality,[$cnf( $equal(op(e3,unit),op(e3,unit)) ),[1,1],$fot(e3)]]) ).
cnf(refute_2_110,plain,
( unit != e3
| op(e3,unit) = op(e3,e3) ),
inference(resolve,[$cnf( $equal(op(e3,unit),op(e3,unit)) )],[refute_2_108,refute_2_109]) ).
cnf(refute_2_111,plain,
op(e3,unit) = op(e3,e3),
inference(resolve,[$cnf( $equal(unit,e3) )],[refute_2_107,refute_2_110]) ).
cnf(refute_2_112,plain,
( op(e3,unit) != e3
| op(e3,unit) != op(e3,e3)
| op(e3,e3) = e3 ),
introduced(tautology,[equality,[$cnf( $equal(op(e3,unit),e3) ),[0],$fot(op(e3,e3))]]) ).
cnf(refute_2_113,plain,
( op(e3,unit) != e3
| op(e3,e3) = e3 ),
inference(resolve,[$cnf( $equal(op(e3,unit),op(e3,e3)) )],[refute_2_111,refute_2_112]) ).
cnf(refute_2_114,plain,
op(e3,e3) = e3,
inference(resolve,[$cnf( $equal(op(e3,unit),e3) )],[refute_2_66,refute_2_113]) ).
cnf(refute_2_115,plain,
( op(e3,e3) != e0
| op(e3,e3) != e3
| e3 = e0 ),
introduced(tautology,[equality,[$cnf( $equal(op(e3,e3),e0) ),[0],$fot(e3)]]) ).
cnf(refute_2_116,plain,
( op(e3,e3) != e0
| e3 = e0 ),
inference(resolve,[$cnf( $equal(op(e3,e3),e3) )],[refute_2_114,refute_2_115]) ).
cnf(refute_2_117,plain,
( e3 = e0
| op(e0,e0) = e0 ),
inference(resolve,[$cnf( $equal(op(e3,e3),e0) )],[refute_2_65,refute_2_116]) ).
cnf(refute_2_118,plain,
op(e0,e0) = e0,
inference(resolve,[$cnf( $equal(e3,e0) )],[refute_2_117,refute_2_60]) ).
cnf(refute_2_119,plain,
op(e0,e0) != op(e0,e3),
inference(canonicalize,[],[normalize_2_21]) ).
cnf(refute_2_120,plain,
op(e0,unit) = e0,
inference(canonicalize,[],[normalize_2_22]) ).
cnf(refute_2_121,plain,
op(e0,unit) = op(e0,unit),
introduced(tautology,[refl,[$fot(op(e0,unit))]]) ).
cnf(refute_2_122,plain,
( op(e0,unit) != op(e0,unit)
| unit != e3
| op(e0,unit) = op(e0,e3) ),
introduced(tautology,[equality,[$cnf( $equal(op(e0,unit),op(e0,unit)) ),[1,1],$fot(e3)]]) ).
cnf(refute_2_123,plain,
( unit != e3
| op(e0,unit) = op(e0,e3) ),
inference(resolve,[$cnf( $equal(op(e0,unit),op(e0,unit)) )],[refute_2_121,refute_2_122]) ).
cnf(refute_2_124,plain,
op(e0,unit) = op(e0,e3),
inference(resolve,[$cnf( $equal(unit,e3) )],[refute_2_107,refute_2_123]) ).
cnf(refute_2_125,plain,
( op(e0,unit) != e0
| op(e0,unit) != op(e0,e3)
| op(e0,e3) = e0 ),
introduced(tautology,[equality,[$cnf( $equal(op(e0,unit),e0) ),[0],$fot(op(e0,e3))]]) ).
cnf(refute_2_126,plain,
( op(e0,unit) != e0
| op(e0,e3) = e0 ),
inference(resolve,[$cnf( $equal(op(e0,unit),op(e0,e3)) )],[refute_2_124,refute_2_125]) ).
cnf(refute_2_127,plain,
op(e0,e3) = e0,
inference(resolve,[$cnf( $equal(op(e0,unit),e0) )],[refute_2_120,refute_2_126]) ).
cnf(refute_2_128,plain,
( op(e0,e0) != e0
| op(e0,e3) != e0
| op(e0,e0) = op(e0,e3) ),
introduced(tautology,[equality,[$cnf( ~ $equal(op(e0,e0),op(e0,e3)) ),[1],$fot(e0)]]) ).
cnf(refute_2_129,plain,
( op(e0,e0) != e0
| op(e0,e0) = op(e0,e3) ),
inference(resolve,[$cnf( $equal(op(e0,e3),e0) )],[refute_2_127,refute_2_128]) ).
cnf(refute_2_130,plain,
op(e0,e0) != e0,
inference(resolve,[$cnf( $equal(op(e0,e0),op(e0,e3)) )],[refute_2_129,refute_2_119]) ).
cnf(refute_2_131,plain,
$false,
inference(resolve,[$cnf( $equal(op(e0,e0),e0) )],[refute_2_118,refute_2_130]) ).
fof(negate_3_0,plain,
~ ( ( ( op(e0,e0) = e0
| op(e1,e1) = e0
| op(e2,e2) = e0
| op(e3,e3) = e0
| op(e4,e4) = e0 )
& ( op(e0,e0) = e1
| op(e1,e1) = e1
| op(e2,e2) = e1
| op(e3,e3) = e1
| op(e4,e4) = e1 )
& ( op(e0,e0) = e2
| op(e1,e1) = e2
| op(e2,e2) = e2
| op(e3,e3) = e2
| op(e4,e4) = e2 )
& ( op(e0,e0) = e3
| op(e1,e1) = e3
| op(e2,e2) = e3
| op(e3,e3) = e3
| op(e4,e4) = e3 )
& ( op(e0,e0) = e4
| op(e1,e1) = e4
| op(e2,e2) = e4
| op(e3,e3) = e4
| op(e4,e4) = e4 )
& ~ ( op(e0,e0) != op(e0,e0)
& op(op(e0,e0),e0) = e0
& op(op(e0,e0),e0) != e0 )
& ~ ( op(e1,e0) != op(e0,e1)
& op(op(e0,e1),e1) = e0
& op(op(e0,e1),e0) != e1 )
& ~ ( op(e2,e0) != op(e0,e2)
& op(op(e0,e2),e2) = e0
& op(op(e0,e2),e0) != e2 )
& op(e3,e0) != op(e0,e3)
& op(op(e0,e3),e3) = e0 )
=> op(op(e0,e3),e0) = e3 ),
inference(negate,[],[subgoal_3]) ).
fof(normalize_3_0,plain,
( op(e3,e0) != op(e0,e3)
& op(op(e0,e3),e0) != e3
& op(op(e0,e3),e3) = e0
& ( op(op(e0,e1),e1) != e0
| op(e1,e0) = op(e0,e1)
| op(op(e0,e1),e0) = e1 )
& ( op(op(e0,e2),e2) != e0
| op(e2,e0) = op(e0,e2)
| op(op(e0,e2),e0) = e2 )
& ( op(e0,e0) = e0
| op(e1,e1) = e0
| op(e2,e2) = e0
| op(e3,e3) = e0
| op(e4,e4) = e0 )
& ( op(e0,e0) = e1
| op(e1,e1) = e1
| op(e2,e2) = e1
| op(e3,e3) = e1
| op(e4,e4) = e1 )
& ( op(e0,e0) = e2
| op(e1,e1) = e2
| op(e2,e2) = e2
| op(e3,e3) = e2
| op(e4,e4) = e2 )
& ( op(e0,e0) = e3
| op(e1,e1) = e3
| op(e2,e2) = e3
| op(e3,e3) = e3
| op(e4,e4) = e3 )
& ( op(e0,e0) = e4
| op(e1,e1) = e4
| op(e2,e2) = e4
| op(e3,e3) = e4
| op(e4,e4) = e4 ) ),
inference(canonicalize,[],[negate_3_0]) ).
fof(normalize_3_1,plain,
op(e3,e0) != op(e0,e3),
inference(conjunct,[],[normalize_3_0]) ).
fof(normalize_3_2,plain,
( op(e0,unit) = e0
& op(e1,unit) = e1
& op(e2,unit) = e2
& op(e3,unit) = e3
& op(e4,unit) = e4
& op(unit,e0) = e0
& op(unit,e1) = e1
& op(unit,e2) = e2
& op(unit,e3) = e3
& op(unit,e4) = e4
& ( unit = e0
| unit = e1
| unit = e2
| unit = e3
| unit = e4 ) ),
inference(canonicalize,[],[ax2]) ).
fof(normalize_3_3,plain,
op(e3,unit) = e3,
inference(conjunct,[],[normalize_3_2]) ).
fof(normalize_3_4,plain,
( op(e0,e0) != op(e0,e1)
& op(e0,e0) != op(e0,e2)
& op(e0,e0) != op(e0,e3)
& op(e0,e0) != op(e0,e4)
& op(e0,e0) != op(e1,e0)
& op(e0,e0) != op(e2,e0)
& op(e0,e0) != op(e3,e0)
& op(e0,e0) != op(e4,e0)
& op(e0,e1) != op(e0,e2)
& op(e0,e1) != op(e0,e3)
& op(e0,e1) != op(e0,e4)
& op(e0,e1) != op(e1,e1)
& op(e0,e1) != op(e2,e1)
& op(e0,e1) != op(e3,e1)
& op(e0,e1) != op(e4,e1)
& op(e0,e2) != op(e0,e3)
& op(e0,e2) != op(e0,e4)
& op(e0,e2) != op(e1,e2)
& op(e0,e2) != op(e2,e2)
& op(e0,e2) != op(e3,e2)
& op(e0,e2) != op(e4,e2)
& op(e0,e3) != op(e0,e4)
& op(e0,e3) != op(e1,e3)
& op(e0,e3) != op(e2,e3)
& op(e0,e3) != op(e3,e3)
& op(e0,e3) != op(e4,e3)
& op(e0,e4) != op(e1,e4)
& op(e0,e4) != op(e2,e4)
& op(e0,e4) != op(e3,e4)
& op(e0,e4) != op(e4,e4)
& op(e1,e0) != op(e1,e1)
& op(e1,e0) != op(e1,e2)
& op(e1,e0) != op(e1,e3)
& op(e1,e0) != op(e1,e4)
& op(e1,e0) != op(e2,e0)
& op(e1,e0) != op(e3,e0)
& op(e1,e0) != op(e4,e0)
& op(e1,e1) != op(e1,e2)
& op(e1,e1) != op(e1,e3)
& op(e1,e1) != op(e1,e4)
& op(e1,e1) != op(e2,e1)
& op(e1,e1) != op(e3,e1)
& op(e1,e1) != op(e4,e1)
& op(e1,e2) != op(e1,e3)
& op(e1,e2) != op(e1,e4)
& op(e1,e2) != op(e2,e2)
& op(e1,e2) != op(e3,e2)
& op(e1,e2) != op(e4,e2)
& op(e1,e3) != op(e1,e4)
& op(e1,e3) != op(e2,e3)
& op(e1,e3) != op(e3,e3)
& op(e1,e3) != op(e4,e3)
& op(e1,e4) != op(e2,e4)
& op(e1,e4) != op(e3,e4)
& op(e1,e4) != op(e4,e4)
& op(e2,e0) != op(e2,e1)
& op(e2,e0) != op(e2,e2)
& op(e2,e0) != op(e2,e3)
& op(e2,e0) != op(e2,e4)
& op(e2,e0) != op(e3,e0)
& op(e2,e0) != op(e4,e0)
& op(e2,e1) != op(e2,e2)
& op(e2,e1) != op(e2,e3)
& op(e2,e1) != op(e2,e4)
& op(e2,e1) != op(e3,e1)
& op(e2,e1) != op(e4,e1)
& op(e2,e2) != op(e2,e3)
& op(e2,e2) != op(e2,e4)
& op(e2,e2) != op(e3,e2)
& op(e2,e2) != op(e4,e2)
& op(e2,e3) != op(e2,e4)
& op(e2,e3) != op(e3,e3)
& op(e2,e3) != op(e4,e3)
& op(e2,e4) != op(e3,e4)
& op(e2,e4) != op(e4,e4)
& op(e3,e0) != op(e3,e1)
& op(e3,e0) != op(e3,e2)
& op(e3,e0) != op(e3,e3)
& op(e3,e0) != op(e3,e4)
& op(e3,e0) != op(e4,e0)
& op(e3,e1) != op(e3,e2)
& op(e3,e1) != op(e3,e3)
& op(e3,e1) != op(e3,e4)
& op(e3,e1) != op(e4,e1)
& op(e3,e2) != op(e3,e3)
& op(e3,e2) != op(e3,e4)
& op(e3,e2) != op(e4,e2)
& op(e3,e3) != op(e3,e4)
& op(e3,e3) != op(e4,e3)
& op(e3,e4) != op(e4,e4)
& op(e4,e0) != op(e4,e1)
& op(e4,e0) != op(e4,e2)
& op(e4,e0) != op(e4,e3)
& op(e4,e0) != op(e4,e4)
& op(e4,e1) != op(e4,e2)
& op(e4,e1) != op(e4,e3)
& op(e4,e1) != op(e4,e4)
& op(e4,e2) != op(e4,e3)
& op(e4,e2) != op(e4,e4)
& op(e4,e3) != op(e4,e4) ),
inference(canonicalize,[],[ax4]) ).
fof(normalize_3_5,plain,
op(e1,e3) != op(e3,e3),
inference(conjunct,[],[normalize_3_4]) ).
fof(normalize_3_6,plain,
( op(e0,e0) = e1
| op(e1,e1) = e1
| op(e2,e2) = e1
| op(e3,e3) = e1
| op(e4,e4) = e1 ),
inference(conjunct,[],[normalize_3_0]) ).
fof(normalize_3_7,plain,
( e0 = op(e1,op(op(e1,e1),op(e1,e1)))
& e2 = op(op(e1,e1),op(e1,e1))
& e3 = op(op(op(e1,e1),op(e1,e1)),op(op(e1,e1),op(e1,e1)))
& e4 = op(e1,e1) ),
inference(canonicalize,[],[ax6]) ).
fof(normalize_3_8,plain,
e4 = op(e1,e1),
inference(conjunct,[],[normalize_3_7]) ).
fof(normalize_3_9,plain,
e3 = op(op(op(e1,e1),op(e1,e1)),op(op(e1,e1),op(e1,e1))),
inference(conjunct,[],[normalize_3_7]) ).
fof(normalize_3_10,plain,
e2 = op(op(e1,e1),op(e1,e1)),
inference(conjunct,[],[normalize_3_7]) ).
fof(normalize_3_11,plain,
( e0 != e1
& e0 != e2
& e0 != e3
& e0 != e4
& e1 != e2
& e1 != e3
& e1 != e4
& e2 != e3
& e2 != e4
& e3 != e4 ),
inference(canonicalize,[],[ax5]) ).
fof(normalize_3_12,plain,
e1 != e2,
inference(conjunct,[],[normalize_3_11]) ).
fof(normalize_3_13,plain,
e1 != e3,
inference(conjunct,[],[normalize_3_11]) ).
fof(normalize_3_14,plain,
e1 != e4,
inference(conjunct,[],[normalize_3_11]) ).
fof(normalize_3_15,plain,
op(e1,unit) = e1,
inference(conjunct,[],[normalize_3_2]) ).
fof(normalize_3_16,plain,
op(unit,e4) = e4,
inference(conjunct,[],[normalize_3_2]) ).
fof(normalize_3_17,plain,
op(unit,e3) = e3,
inference(conjunct,[],[normalize_3_2]) ).
fof(normalize_3_18,plain,
( unit = e0
| unit = e1
| unit = e2
| unit = e3
| unit = e4 ),
inference(conjunct,[],[normalize_3_2]) ).
fof(normalize_3_19,plain,
op(e1,e1) != op(e1,e4),
inference(conjunct,[],[normalize_3_4]) ).
fof(normalize_3_20,plain,
op(e2,e2) != op(e2,e3),
inference(conjunct,[],[normalize_3_4]) ).
fof(normalize_3_21,plain,
e2 != e4,
inference(conjunct,[],[normalize_3_11]) ).
fof(normalize_3_22,plain,
( op(e0,e0) = e0
| op(e1,e1) = e0
| op(e2,e2) = e0
| op(e3,e3) = e0
| op(e4,e4) = e0 ),
inference(conjunct,[],[normalize_3_0]) ).
fof(normalize_3_23,plain,
e0 != e2,
inference(conjunct,[],[normalize_3_11]) ).
fof(normalize_3_24,plain,
e0 != e3,
inference(conjunct,[],[normalize_3_11]) ).
fof(normalize_3_25,plain,
e0 != e4,
inference(conjunct,[],[normalize_3_11]) ).
fof(normalize_3_26,plain,
e0 != e1,
inference(conjunct,[],[normalize_3_11]) ).
cnf(refute_3_0,plain,
op(e3,e0) != op(e0,e3),
inference(canonicalize,[],[normalize_3_1]) ).
cnf(refute_3_1,plain,
op(e3,unit) = e3,
inference(canonicalize,[],[normalize_3_3]) ).
cnf(refute_3_2,plain,
op(e1,e3) != op(e3,e3),
inference(canonicalize,[],[normalize_3_5]) ).
cnf(refute_3_3,plain,
( op(e0,e0) = e1
| op(e1,e1) = e1
| op(e2,e2) = e1
| op(e3,e3) = e1
| op(e4,e4) = e1 ),
inference(canonicalize,[],[normalize_3_6]) ).
cnf(refute_3_4,plain,
e4 = op(e1,e1),
inference(canonicalize,[],[normalize_3_8]) ).
cnf(refute_3_5,plain,
X = X,
introduced(tautology,[refl,[$fot(X)]]) ).
cnf(refute_3_6,plain,
( X != X
| X != Y
| Y = X ),
introduced(tautology,[equality,[$cnf( $equal(X,X) ),[0],$fot(Y)]]) ).
cnf(refute_3_7,plain,
( X != Y
| Y = X ),
inference(resolve,[$cnf( $equal(X,X) )],[refute_3_5,refute_3_6]) ).
cnf(refute_3_8,plain,
( e4 != op(e1,e1)
| op(e1,e1) = e4 ),
inference(subst,[],[refute_3_7:[bind(X,$fot(e4)),bind(Y,$fot(op(e1,e1)))]]) ).
cnf(refute_3_9,plain,
op(e1,e1) = e4,
inference(resolve,[$cnf( $equal(e4,op(e1,e1)) )],[refute_3_4,refute_3_8]) ).
cnf(refute_3_10,plain,
( op(e1,e1) != e1
| op(e1,e1) != e4
| e4 = e1 ),
introduced(tautology,[equality,[$cnf( $equal(op(e1,e1),e1) ),[0],$fot(e4)]]) ).
cnf(refute_3_11,plain,
( op(e1,e1) != e1
| e4 = e1 ),
inference(resolve,[$cnf( $equal(op(e1,e1),e4) )],[refute_3_9,refute_3_10]) ).
cnf(refute_3_12,plain,
( e4 = e1
| op(e0,e0) = e1
| op(e2,e2) = e1
| op(e3,e3) = e1
| op(e4,e4) = e1 ),
inference(resolve,[$cnf( $equal(op(e1,e1),e1) )],[refute_3_3,refute_3_11]) ).
cnf(refute_3_13,plain,
e3 = op(op(op(e1,e1),op(e1,e1)),op(op(e1,e1),op(e1,e1))),
inference(canonicalize,[],[normalize_3_9]) ).
cnf(refute_3_14,plain,
e2 = op(op(e1,e1),op(e1,e1)),
inference(canonicalize,[],[normalize_3_10]) ).
cnf(refute_3_15,plain,
( e2 != op(op(e1,e1),op(e1,e1))
| op(op(e1,e1),op(e1,e1)) = e2 ),
inference(subst,[],[refute_3_7:[bind(X,$fot(e2)),bind(Y,$fot(op(op(e1,e1),op(e1,e1))))]]) ).
cnf(refute_3_16,plain,
op(op(e1,e1),op(e1,e1)) = e2,
inference(resolve,[$cnf( $equal(e2,op(op(e1,e1),op(e1,e1))) )],[refute_3_14,refute_3_15]) ).
cnf(refute_3_17,plain,
op(e2,op(op(e1,e1),op(e1,e1))) = op(e2,op(op(e1,e1),op(e1,e1))),
introduced(tautology,[refl,[$fot(op(e2,op(op(e1,e1),op(e1,e1))))]]) ).
cnf(refute_3_18,plain,
( op(e2,op(op(e1,e1),op(e1,e1))) != op(e2,op(op(e1,e1),op(e1,e1)))
| op(op(e1,e1),op(e1,e1)) != e2
| op(e2,op(op(e1,e1),op(e1,e1))) = op(e2,e2) ),
introduced(tautology,[equality,[$cnf( $equal(op(e2,op(op(e1,e1),op(e1,e1))),op(e2,op(op(e1,e1),op(e1,e1)))) ),[1,1],$fot(e2)]]) ).
cnf(refute_3_19,plain,
( op(op(e1,e1),op(e1,e1)) != e2
| op(e2,op(op(e1,e1),op(e1,e1))) = op(e2,e2) ),
inference(resolve,[$cnf( $equal(op(e2,op(op(e1,e1),op(e1,e1))),op(e2,op(op(e1,e1),op(e1,e1)))) )],[refute_3_17,refute_3_18]) ).
cnf(refute_3_20,plain,
op(e2,op(op(e1,e1),op(e1,e1))) = op(e2,e2),
inference(resolve,[$cnf( $equal(op(op(e1,e1),op(e1,e1)),e2) )],[refute_3_16,refute_3_19]) ).
cnf(refute_3_21,plain,
op(op(op(e1,e1),op(e1,e1)),op(op(e1,e1),op(e1,e1))) = op(op(op(e1,e1),op(e1,e1)),op(op(e1,e1),op(e1,e1))),
introduced(tautology,[refl,[$fot(op(op(op(e1,e1),op(e1,e1)),op(op(e1,e1),op(e1,e1))))]]) ).
cnf(refute_3_22,plain,
( op(op(e1,e1),op(e1,e1)) != e2
| op(op(op(e1,e1),op(e1,e1)),op(op(e1,e1),op(e1,e1))) != op(op(op(e1,e1),op(e1,e1)),op(op(e1,e1),op(e1,e1)))
| op(op(op(e1,e1),op(e1,e1)),op(op(e1,e1),op(e1,e1))) = op(e2,op(op(e1,e1),op(e1,e1))) ),
introduced(tautology,[equality,[$cnf( $equal(op(op(op(e1,e1),op(e1,e1)),op(op(e1,e1),op(e1,e1))),op(op(op(e1,e1),op(e1,e1)),op(op(e1,e1),op(e1,e1)))) ),[1,0],$fot(e2)]]) ).
cnf(refute_3_23,plain,
( op(op(e1,e1),op(e1,e1)) != e2
| op(op(op(e1,e1),op(e1,e1)),op(op(e1,e1),op(e1,e1))) = op(e2,op(op(e1,e1),op(e1,e1))) ),
inference(resolve,[$cnf( $equal(op(op(op(e1,e1),op(e1,e1)),op(op(e1,e1),op(e1,e1))),op(op(op(e1,e1),op(e1,e1)),op(op(e1,e1),op(e1,e1)))) )],[refute_3_21,refute_3_22]) ).
cnf(refute_3_24,plain,
op(op(op(e1,e1),op(e1,e1)),op(op(e1,e1),op(e1,e1))) = op(e2,op(op(e1,e1),op(e1,e1))),
inference(resolve,[$cnf( $equal(op(op(e1,e1),op(e1,e1)),e2) )],[refute_3_16,refute_3_23]) ).
cnf(refute_3_25,plain,
( Y != X
| Y != Z
| X = Z ),
introduced(tautology,[equality,[$cnf( $equal(Y,Z) ),[0],$fot(X)]]) ).
cnf(refute_3_26,plain,
( X != Y
| Y != Z
| X = Z ),
inference(resolve,[$cnf( $equal(Y,X) )],[refute_3_7,refute_3_25]) ).
cnf(refute_3_27,plain,
( op(e2,op(op(e1,e1),op(e1,e1))) != op(e2,e2)
| op(op(op(e1,e1),op(e1,e1)),op(op(e1,e1),op(e1,e1))) != op(e2,op(op(e1,e1),op(e1,e1)))
| op(op(op(e1,e1),op(e1,e1)),op(op(e1,e1),op(e1,e1))) = op(e2,e2) ),
inference(subst,[],[refute_3_26:[bind(X,$fot(op(op(op(e1,e1),op(e1,e1)),op(op(e1,e1),op(e1,e1))))),bind(Y,$fot(op(e2,op(op(e1,e1),op(e1,e1))))),bind(Z,$fot(op(e2,e2)))]]) ).
cnf(refute_3_28,plain,
( op(e2,op(op(e1,e1),op(e1,e1))) != op(e2,e2)
| op(op(op(e1,e1),op(e1,e1)),op(op(e1,e1),op(e1,e1))) = op(e2,e2) ),
inference(resolve,[$cnf( $equal(op(op(op(e1,e1),op(e1,e1)),op(op(e1,e1),op(e1,e1))),op(e2,op(op(e1,e1),op(e1,e1)))) )],[refute_3_24,refute_3_27]) ).
cnf(refute_3_29,plain,
op(op(op(e1,e1),op(e1,e1)),op(op(e1,e1),op(e1,e1))) = op(e2,e2),
inference(resolve,[$cnf( $equal(op(e2,op(op(e1,e1),op(e1,e1))),op(e2,e2)) )],[refute_3_20,refute_3_28]) ).
cnf(refute_3_30,plain,
( e3 != op(op(op(e1,e1),op(e1,e1)),op(op(e1,e1),op(e1,e1)))
| op(op(op(e1,e1),op(e1,e1)),op(op(e1,e1),op(e1,e1))) != op(e2,e2)
| e3 = op(e2,e2) ),
introduced(tautology,[equality,[$cnf( ~ $equal(e3,op(e2,e2)) ),[0],$fot(op(op(op(e1,e1),op(e1,e1)),op(op(e1,e1),op(e1,e1))))]]) ).
cnf(refute_3_31,plain,
( e3 != op(op(op(e1,e1),op(e1,e1)),op(op(e1,e1),op(e1,e1)))
| e3 = op(e2,e2) ),
inference(resolve,[$cnf( $equal(op(op(op(e1,e1),op(e1,e1)),op(op(e1,e1),op(e1,e1))),op(e2,e2)) )],[refute_3_29,refute_3_30]) ).
cnf(refute_3_32,plain,
e3 = op(e2,e2),
inference(resolve,[$cnf( $equal(e3,op(op(op(e1,e1),op(e1,e1)),op(op(e1,e1),op(e1,e1)))) )],[refute_3_13,refute_3_31]) ).
cnf(refute_3_33,plain,
( e3 != op(e2,e2)
| op(e2,e2) = e3 ),
inference(subst,[],[refute_3_7:[bind(X,$fot(e3)),bind(Y,$fot(op(e2,e2)))]]) ).
cnf(refute_3_34,plain,
op(e2,e2) = e3,
inference(resolve,[$cnf( $equal(e3,op(e2,e2)) )],[refute_3_32,refute_3_33]) ).
cnf(refute_3_35,plain,
( op(e2,e2) != e1
| op(e2,e2) != e3
| e3 = e1 ),
introduced(tautology,[equality,[$cnf( $equal(op(e2,e2),e1) ),[0],$fot(e3)]]) ).
cnf(refute_3_36,plain,
( op(e2,e2) != e1
| e3 = e1 ),
inference(resolve,[$cnf( $equal(op(e2,e2),e3) )],[refute_3_34,refute_3_35]) ).
cnf(refute_3_37,plain,
( e3 = e1
| e4 = e1
| op(e0,e0) = e1
| op(e3,e3) = e1
| op(e4,e4) = e1 ),
inference(resolve,[$cnf( $equal(op(e2,e2),e1) )],[refute_3_12,refute_3_36]) ).
cnf(refute_3_38,plain,
op(e4,op(e1,e1)) = op(e4,op(e1,e1)),
introduced(tautology,[refl,[$fot(op(e4,op(e1,e1)))]]) ).
cnf(refute_3_39,plain,
( op(e1,e1) != e4
| op(e4,op(e1,e1)) != op(e4,op(e1,e1))
| op(e4,op(e1,e1)) = op(e4,e4) ),
introduced(tautology,[equality,[$cnf( $equal(op(e4,op(e1,e1)),op(e4,op(e1,e1))) ),[1,1],$fot(e4)]]) ).
cnf(refute_3_40,plain,
( op(e1,e1) != e4
| op(e4,op(e1,e1)) = op(e4,e4) ),
inference(resolve,[$cnf( $equal(op(e4,op(e1,e1)),op(e4,op(e1,e1))) )],[refute_3_38,refute_3_39]) ).
cnf(refute_3_41,plain,
op(e4,op(e1,e1)) = op(e4,e4),
inference(resolve,[$cnf( $equal(op(e1,e1),e4) )],[refute_3_9,refute_3_40]) ).
cnf(refute_3_42,plain,
op(op(e1,e1),op(e1,e1)) = op(op(e1,e1),op(e1,e1)),
introduced(tautology,[refl,[$fot(op(op(e1,e1),op(e1,e1)))]]) ).
cnf(refute_3_43,plain,
( op(e1,e1) != e4
| op(op(e1,e1),op(e1,e1)) != op(op(e1,e1),op(e1,e1))
| op(op(e1,e1),op(e1,e1)) = op(e4,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(e4)]]) ).
cnf(refute_3_44,plain,
( op(e1,e1) != e4
| op(op(e1,e1),op(e1,e1)) = op(e4,op(e1,e1)) ),
inference(resolve,[$cnf( $equal(op(op(e1,e1),op(e1,e1)),op(op(e1,e1),op(e1,e1))) )],[refute_3_42,refute_3_43]) ).
cnf(refute_3_45,plain,
op(op(e1,e1),op(e1,e1)) = op(e4,op(e1,e1)),
inference(resolve,[$cnf( $equal(op(e1,e1),e4) )],[refute_3_9,refute_3_44]) ).
cnf(refute_3_46,plain,
( op(e4,op(e1,e1)) != op(e4,e4)
| op(op(e1,e1),op(e1,e1)) != op(e4,op(e1,e1))
| op(op(e1,e1),op(e1,e1)) = op(e4,e4) ),
inference(subst,[],[refute_3_26:[bind(X,$fot(op(op(e1,e1),op(e1,e1)))),bind(Y,$fot(op(e4,op(e1,e1)))),bind(Z,$fot(op(e4,e4)))]]) ).
cnf(refute_3_47,plain,
( op(e4,op(e1,e1)) != op(e4,e4)
| op(op(e1,e1),op(e1,e1)) = op(e4,e4) ),
inference(resolve,[$cnf( $equal(op(op(e1,e1),op(e1,e1)),op(e4,op(e1,e1))) )],[refute_3_45,refute_3_46]) ).
cnf(refute_3_48,plain,
op(op(e1,e1),op(e1,e1)) = op(e4,e4),
inference(resolve,[$cnf( $equal(op(e4,op(e1,e1)),op(e4,e4)) )],[refute_3_41,refute_3_47]) ).
cnf(refute_3_49,plain,
( e2 != op(op(e1,e1),op(e1,e1))
| op(op(e1,e1),op(e1,e1)) != op(e4,e4)
| e2 = op(e4,e4) ),
introduced(tautology,[equality,[$cnf( ~ $equal(e2,op(e4,e4)) ),[0],$fot(op(op(e1,e1),op(e1,e1)))]]) ).
cnf(refute_3_50,plain,
( e2 != op(op(e1,e1),op(e1,e1))
| e2 = op(e4,e4) ),
inference(resolve,[$cnf( $equal(op(op(e1,e1),op(e1,e1)),op(e4,e4)) )],[refute_3_48,refute_3_49]) ).
cnf(refute_3_51,plain,
e2 = op(e4,e4),
inference(resolve,[$cnf( $equal(e2,op(op(e1,e1),op(e1,e1))) )],[refute_3_14,refute_3_50]) ).
cnf(refute_3_52,plain,
( e2 != op(e4,e4)
| op(e4,e4) = e2 ),
inference(subst,[],[refute_3_7:[bind(X,$fot(e2)),bind(Y,$fot(op(e4,e4)))]]) ).
cnf(refute_3_53,plain,
op(e4,e4) = e2,
inference(resolve,[$cnf( $equal(e2,op(e4,e4)) )],[refute_3_51,refute_3_52]) ).
cnf(refute_3_54,plain,
( op(e4,e4) != e1
| op(e4,e4) != e2
| e2 = e1 ),
introduced(tautology,[equality,[$cnf( $equal(op(e4,e4),e1) ),[0],$fot(e2)]]) ).
cnf(refute_3_55,plain,
( op(e4,e4) != e1
| e2 = e1 ),
inference(resolve,[$cnf( $equal(op(e4,e4),e2) )],[refute_3_53,refute_3_54]) ).
cnf(refute_3_56,plain,
( e2 = e1
| e3 = e1
| e4 = e1
| op(e0,e0) = e1
| op(e3,e3) = e1 ),
inference(resolve,[$cnf( $equal(op(e4,e4),e1) )],[refute_3_37,refute_3_55]) ).
cnf(refute_3_57,plain,
e1 != e2,
inference(canonicalize,[],[normalize_3_12]) ).
cnf(refute_3_58,plain,
( e2 != e1
| e1 = e2 ),
inference(subst,[],[refute_3_7:[bind(X,$fot(e2)),bind(Y,$fot(e1))]]) ).
cnf(refute_3_59,plain,
e2 != e1,
inference(resolve,[$cnf( $equal(e1,e2) )],[refute_3_58,refute_3_57]) ).
cnf(refute_3_60,plain,
( e3 = e1
| e4 = e1
| op(e0,e0) = e1
| op(e3,e3) = e1 ),
inference(resolve,[$cnf( $equal(e2,e1) )],[refute_3_56,refute_3_59]) ).
cnf(refute_3_61,plain,
e1 != e3,
inference(canonicalize,[],[normalize_3_13]) ).
cnf(refute_3_62,plain,
( e3 != e1
| e1 = e3 ),
inference(subst,[],[refute_3_7:[bind(X,$fot(e3)),bind(Y,$fot(e1))]]) ).
cnf(refute_3_63,plain,
e3 != e1,
inference(resolve,[$cnf( $equal(e1,e3) )],[refute_3_62,refute_3_61]) ).
cnf(refute_3_64,plain,
( e4 = e1
| op(e0,e0) = e1
| op(e3,e3) = e1 ),
inference(resolve,[$cnf( $equal(e3,e1) )],[refute_3_60,refute_3_63]) ).
cnf(refute_3_65,plain,
e1 != e4,
inference(canonicalize,[],[normalize_3_14]) ).
cnf(refute_3_66,plain,
( e4 != e1
| e1 = e4 ),
inference(subst,[],[refute_3_7:[bind(X,$fot(e4)),bind(Y,$fot(e1))]]) ).
cnf(refute_3_67,plain,
e4 != e1,
inference(resolve,[$cnf( $equal(e1,e4) )],[refute_3_66,refute_3_65]) ).
cnf(refute_3_68,plain,
( op(e0,e0) = e1
| op(e3,e3) = e1 ),
inference(resolve,[$cnf( $equal(e4,e1) )],[refute_3_64,refute_3_67]) ).
cnf(refute_3_69,plain,
( op(e1,e3) != e1
| op(e3,e3) != e1
| op(e1,e3) = op(e3,e3) ),
introduced(tautology,[equality,[$cnf( ~ $equal(op(e1,e3),op(e3,e3)) ),[1],$fot(e1)]]) ).
cnf(refute_3_70,plain,
( op(e1,e3) != e1
| op(e0,e0) = e1
| op(e1,e3) = op(e3,e3) ),
inference(resolve,[$cnf( $equal(op(e3,e3),e1) )],[refute_3_68,refute_3_69]) ).
cnf(refute_3_71,plain,
( op(e1,e3) != e1
| op(e0,e0) = e1 ),
inference(resolve,[$cnf( $equal(op(e1,e3),op(e3,e3)) )],[refute_3_70,refute_3_2]) ).
cnf(refute_3_72,plain,
op(e1,unit) = e1,
inference(canonicalize,[],[normalize_3_15]) ).
cnf(refute_3_73,plain,
op(unit,e4) = e4,
inference(canonicalize,[],[normalize_3_16]) ).
cnf(refute_3_74,plain,
op(unit,e3) = e3,
inference(canonicalize,[],[normalize_3_17]) ).
cnf(refute_3_75,plain,
( unit = e0
| unit = e1
| unit = e2
| unit = e3
| unit = e4 ),
inference(canonicalize,[],[normalize_3_18]) ).
cnf(refute_3_76,plain,
( op(unit,e4) != e4
| unit != e1
| op(e1,e4) = e4 ),
introduced(tautology,[equality,[$cnf( $equal(op(unit,e4),e4) ),[0,0],$fot(e1)]]) ).
cnf(refute_3_77,plain,
( op(unit,e4) != e4
| op(e1,e4) = e4
| unit = e0
| unit = e2
| unit = e3
| unit = e4 ),
inference(resolve,[$cnf( $equal(unit,e1) )],[refute_3_75,refute_3_76]) ).
cnf(refute_3_78,plain,
( op(e1,e4) = e4
| unit = e0
| unit = e2
| unit = e3
| unit = e4 ),
inference(resolve,[$cnf( $equal(op(unit,e4),e4) )],[refute_3_73,refute_3_77]) ).
cnf(refute_3_79,plain,
op(e1,e1) != op(e1,e4),
inference(canonicalize,[],[normalize_3_19]) ).
cnf(refute_3_80,plain,
( e4 != op(e1,e4)
| op(e1,e1) != e4
| op(e1,e1) = op(e1,e4) ),
introduced(tautology,[equality,[$cnf( $equal(op(e1,e1),e4) ),[1],$fot(op(e1,e4))]]) ).
cnf(refute_3_81,plain,
( e4 != op(e1,e4)
| op(e1,e1) = op(e1,e4) ),
inference(resolve,[$cnf( $equal(op(e1,e1),e4) )],[refute_3_9,refute_3_80]) ).
cnf(refute_3_82,plain,
e4 != op(e1,e4),
inference(resolve,[$cnf( $equal(op(e1,e1),op(e1,e4)) )],[refute_3_81,refute_3_79]) ).
cnf(refute_3_83,plain,
( op(e1,e4) != e4
| e4 = op(e1,e4) ),
inference(subst,[],[refute_3_7:[bind(X,$fot(op(e1,e4))),bind(Y,$fot(e4))]]) ).
cnf(refute_3_84,plain,
op(e1,e4) != e4,
inference(resolve,[$cnf( $equal(e4,op(e1,e4)) )],[refute_3_83,refute_3_82]) ).
cnf(refute_3_85,plain,
( unit = e0
| unit = e2
| unit = e3
| unit = e4 ),
inference(resolve,[$cnf( $equal(op(e1,e4),e4) )],[refute_3_78,refute_3_84]) ).
cnf(refute_3_86,plain,
( op(unit,e3) != e3
| unit != e2
| op(e2,e3) = e3 ),
introduced(tautology,[equality,[$cnf( $equal(op(unit,e3),e3) ),[0,0],$fot(e2)]]) ).
cnf(refute_3_87,plain,
( op(unit,e3) != e3
| op(e2,e3) = e3
| unit = e0
| unit = e3
| unit = e4 ),
inference(resolve,[$cnf( $equal(unit,e2) )],[refute_3_85,refute_3_86]) ).
cnf(refute_3_88,plain,
( op(e2,e3) = e3
| unit = e0
| unit = e3
| unit = e4 ),
inference(resolve,[$cnf( $equal(op(unit,e3),e3) )],[refute_3_74,refute_3_87]) ).
cnf(refute_3_89,plain,
op(e2,e2) != op(e2,e3),
inference(canonicalize,[],[normalize_3_20]) ).
cnf(refute_3_90,plain,
( e3 != op(e2,e3)
| op(e2,e2) != e3
| op(e2,e2) = op(e2,e3) ),
introduced(tautology,[equality,[$cnf( $equal(op(e2,e2),e3) ),[1],$fot(op(e2,e3))]]) ).
cnf(refute_3_91,plain,
( e3 != op(e2,e3)
| op(e2,e2) = op(e2,e3) ),
inference(resolve,[$cnf( $equal(op(e2,e2),e3) )],[refute_3_34,refute_3_90]) ).
cnf(refute_3_92,plain,
e3 != op(e2,e3),
inference(resolve,[$cnf( $equal(op(e2,e2),op(e2,e3)) )],[refute_3_91,refute_3_89]) ).
cnf(refute_3_93,plain,
( op(e2,e3) != e3
| e3 = op(e2,e3) ),
inference(subst,[],[refute_3_7:[bind(X,$fot(op(e2,e3))),bind(Y,$fot(e3))]]) ).
cnf(refute_3_94,plain,
op(e2,e3) != e3,
inference(resolve,[$cnf( $equal(e3,op(e2,e3)) )],[refute_3_93,refute_3_92]) ).
cnf(refute_3_95,plain,
( unit = e0
| unit = e3
| unit = e4 ),
inference(resolve,[$cnf( $equal(op(e2,e3),e3) )],[refute_3_88,refute_3_94]) ).
cnf(refute_3_96,plain,
( op(unit,e4) != e4
| unit != e4
| op(e4,e4) = e4 ),
introduced(tautology,[equality,[$cnf( $equal(op(unit,e4),e4) ),[0,0],$fot(e4)]]) ).
cnf(refute_3_97,plain,
( op(unit,e4) != e4
| op(e4,e4) = e4
| unit = e0
| unit = e3 ),
inference(resolve,[$cnf( $equal(unit,e4) )],[refute_3_95,refute_3_96]) ).
cnf(refute_3_98,plain,
( op(e4,e4) = e4
| unit = e0
| unit = e3 ),
inference(resolve,[$cnf( $equal(op(unit,e4),e4) )],[refute_3_73,refute_3_97]) ).
cnf(refute_3_99,plain,
( op(e4,e4) != e2
| op(e4,e4) != e4
| e2 = e4 ),
introduced(tautology,[equality,[$cnf( $equal(op(e4,e4),e4) ),[0],$fot(e2)]]) ).
cnf(refute_3_100,plain,
( op(e4,e4) != e4
| e2 = e4 ),
inference(resolve,[$cnf( $equal(op(e4,e4),e2) )],[refute_3_53,refute_3_99]) ).
cnf(refute_3_101,plain,
( e2 = e4
| unit = e0
| unit = e3 ),
inference(resolve,[$cnf( $equal(op(e4,e4),e4) )],[refute_3_98,refute_3_100]) ).
cnf(refute_3_102,plain,
e2 != e4,
inference(canonicalize,[],[normalize_3_21]) ).
cnf(refute_3_103,plain,
( unit = e0
| unit = e3 ),
inference(resolve,[$cnf( $equal(e2,e4) )],[refute_3_101,refute_3_102]) ).
cnf(refute_3_104,plain,
( op(e1,unit) != e1
| unit != e3
| op(e1,e3) = e1 ),
introduced(tautology,[equality,[$cnf( $equal(op(e1,unit),e1) ),[0,1],$fot(e3)]]) ).
cnf(refute_3_105,plain,
( op(e1,unit) != e1
| op(e1,e3) = e1
| unit = e0 ),
inference(resolve,[$cnf( $equal(unit,e3) )],[refute_3_103,refute_3_104]) ).
cnf(refute_3_106,plain,
( op(e1,e3) = e1
| unit = e0 ),
inference(resolve,[$cnf( $equal(op(e1,unit),e1) )],[refute_3_72,refute_3_105]) ).
cnf(refute_3_107,plain,
( e1 != e1
| op(e1,e3) != e1
| op(e1,e3) = e1 ),
introduced(tautology,[equality,[$cnf( $equal(op(e1,e3),e1) ),[0,0],$fot(e1)]]) ).
cnf(refute_3_108,plain,
( e1 != e1
| op(e1,e3) = e1
| unit = e0 ),
inference(resolve,[$cnf( $equal(op(e1,e3),e1) )],[refute_3_106,refute_3_107]) ).
cnf(refute_3_109,plain,
( e1 != e1
| op(e0,e0) = e1
| unit = e0 ),
inference(resolve,[$cnf( $equal(op(e1,e3),e1) )],[refute_3_108,refute_3_71]) ).
cnf(refute_3_110,plain,
e1 = e1,
introduced(tautology,[refl,[$fot(e1)]]) ).
cnf(refute_3_111,plain,
( op(e0,e0) = e1
| unit = e0 ),
inference(resolve,[$cnf( $equal(e1,e1) )],[refute_3_110,refute_3_109]) ).
cnf(refute_3_112,plain,
( op(e0,e0) = e0
| op(e1,e1) = e0
| op(e2,e2) = e0
| op(e3,e3) = e0
| op(e4,e4) = e0 ),
inference(canonicalize,[],[normalize_3_22]) ).
cnf(refute_3_113,plain,
( op(e1,e1) != e0
| op(e1,e1) != e4
| e4 = e0 ),
introduced(tautology,[equality,[$cnf( $equal(op(e1,e1),e0) ),[0],$fot(e4)]]) ).
cnf(refute_3_114,plain,
( op(e1,e1) != e0
| e4 = e0 ),
inference(resolve,[$cnf( $equal(op(e1,e1),e4) )],[refute_3_9,refute_3_113]) ).
cnf(refute_3_115,plain,
( e4 = e0
| op(e0,e0) = e0
| op(e2,e2) = e0
| op(e3,e3) = e0
| op(e4,e4) = e0 ),
inference(resolve,[$cnf( $equal(op(e1,e1),e0) )],[refute_3_112,refute_3_114]) ).
cnf(refute_3_116,plain,
( op(e2,e2) != e0
| op(e2,e2) != e3
| e3 = e0 ),
introduced(tautology,[equality,[$cnf( $equal(op(e2,e2),e0) ),[0],$fot(e3)]]) ).
cnf(refute_3_117,plain,
( op(e2,e2) != e0
| e3 = e0 ),
inference(resolve,[$cnf( $equal(op(e2,e2),e3) )],[refute_3_34,refute_3_116]) ).
cnf(refute_3_118,plain,
( e3 = e0
| e4 = e0
| op(e0,e0) = e0
| op(e3,e3) = e0
| op(e4,e4) = e0 ),
inference(resolve,[$cnf( $equal(op(e2,e2),e0) )],[refute_3_115,refute_3_117]) ).
cnf(refute_3_119,plain,
( op(e4,e4) != e0
| op(e4,e4) != e2
| e2 = e0 ),
introduced(tautology,[equality,[$cnf( $equal(op(e4,e4),e0) ),[0],$fot(e2)]]) ).
cnf(refute_3_120,plain,
( op(e4,e4) != e0
| e2 = e0 ),
inference(resolve,[$cnf( $equal(op(e4,e4),e2) )],[refute_3_53,refute_3_119]) ).
cnf(refute_3_121,plain,
( e2 = e0
| e3 = e0
| e4 = e0
| op(e0,e0) = e0
| op(e3,e3) = e0 ),
inference(resolve,[$cnf( $equal(op(e4,e4),e0) )],[refute_3_118,refute_3_120]) ).
cnf(refute_3_122,plain,
e0 != e2,
inference(canonicalize,[],[normalize_3_23]) ).
cnf(refute_3_123,plain,
( e2 != e0
| e0 = e2 ),
inference(subst,[],[refute_3_7:[bind(X,$fot(e2)),bind(Y,$fot(e0))]]) ).
cnf(refute_3_124,plain,
e2 != e0,
inference(resolve,[$cnf( $equal(e0,e2) )],[refute_3_123,refute_3_122]) ).
cnf(refute_3_125,plain,
( e3 = e0
| e4 = e0
| op(e0,e0) = e0
| op(e3,e3) = e0 ),
inference(resolve,[$cnf( $equal(e2,e0) )],[refute_3_121,refute_3_124]) ).
cnf(refute_3_126,plain,
e0 != e3,
inference(canonicalize,[],[normalize_3_24]) ).
cnf(refute_3_127,plain,
( e3 != e0
| e0 = e3 ),
inference(subst,[],[refute_3_7:[bind(X,$fot(e3)),bind(Y,$fot(e0))]]) ).
cnf(refute_3_128,plain,
e3 != e0,
inference(resolve,[$cnf( $equal(e0,e3) )],[refute_3_127,refute_3_126]) ).
cnf(refute_3_129,plain,
( e4 = e0
| op(e0,e0) = e0
| op(e3,e3) = e0 ),
inference(resolve,[$cnf( $equal(e3,e0) )],[refute_3_125,refute_3_128]) ).
cnf(refute_3_130,plain,
e0 != e4,
inference(canonicalize,[],[normalize_3_25]) ).
cnf(refute_3_131,plain,
( e4 != e0
| e0 = e4 ),
inference(subst,[],[refute_3_7:[bind(X,$fot(e4)),bind(Y,$fot(e0))]]) ).
cnf(refute_3_132,plain,
e4 != e0,
inference(resolve,[$cnf( $equal(e0,e4) )],[refute_3_131,refute_3_130]) ).
cnf(refute_3_133,plain,
( op(e0,e0) = e0
| op(e3,e3) = e0 ),
inference(resolve,[$cnf( $equal(e4,e0) )],[refute_3_129,refute_3_132]) ).
cnf(refute_3_134,plain,
( op(unit,e3) != e3
| unit != e3
| op(e3,e3) = e3 ),
introduced(tautology,[equality,[$cnf( $equal(op(unit,e3),e3) ),[0,0],$fot(e3)]]) ).
cnf(refute_3_135,plain,
( op(unit,e3) != e3
| op(e3,e3) = e3
| unit = e0 ),
inference(resolve,[$cnf( $equal(unit,e3) )],[refute_3_103,refute_3_134]) ).
cnf(refute_3_136,plain,
( op(e3,e3) = e3
| unit = e0 ),
inference(resolve,[$cnf( $equal(op(unit,e3),e3) )],[refute_3_74,refute_3_135]) ).
cnf(refute_3_137,plain,
( op(e3,e3) != e0
| op(e3,e3) != e3
| e3 = e0 ),
introduced(tautology,[equality,[$cnf( $equal(op(e3,e3),e0) ),[0],$fot(e3)]]) ).
cnf(refute_3_138,plain,
( op(e3,e3) != e0
| e3 = e0
| unit = e0 ),
inference(resolve,[$cnf( $equal(op(e3,e3),e3) )],[refute_3_136,refute_3_137]) ).
cnf(refute_3_139,plain,
( e3 = e0
| op(e0,e0) = e0
| unit = e0 ),
inference(resolve,[$cnf( $equal(op(e3,e3),e0) )],[refute_3_133,refute_3_138]) ).
cnf(refute_3_140,plain,
( op(e0,e0) = e0
| unit = e0 ),
inference(resolve,[$cnf( $equal(e3,e0) )],[refute_3_139,refute_3_128]) ).
cnf(refute_3_141,plain,
( op(e0,e0) != e0
| op(e0,e0) != e1
| e0 = e1 ),
introduced(tautology,[equality,[$cnf( $equal(op(e0,e0),e1) ),[0],$fot(e0)]]) ).
cnf(refute_3_142,plain,
( op(e0,e0) != e1
| e0 = e1
| unit = e0 ),
inference(resolve,[$cnf( $equal(op(e0,e0),e0) )],[refute_3_140,refute_3_141]) ).
cnf(refute_3_143,plain,
( e0 = e1
| unit = e0 ),
inference(resolve,[$cnf( $equal(op(e0,e0),e1) )],[refute_3_111,refute_3_142]) ).
cnf(refute_3_144,plain,
e0 != e1,
inference(canonicalize,[],[normalize_3_26]) ).
cnf(refute_3_145,plain,
unit = e0,
inference(resolve,[$cnf( $equal(e0,e1) )],[refute_3_143,refute_3_144]) ).
cnf(refute_3_146,plain,
op(e3,unit) = op(e3,unit),
introduced(tautology,[refl,[$fot(op(e3,unit))]]) ).
cnf(refute_3_147,plain,
( op(e3,unit) != op(e3,unit)
| unit != e0
| op(e3,unit) = op(e3,e0) ),
introduced(tautology,[equality,[$cnf( $equal(op(e3,unit),op(e3,unit)) ),[1,1],$fot(e0)]]) ).
cnf(refute_3_148,plain,
( unit != e0
| op(e3,unit) = op(e3,e0) ),
inference(resolve,[$cnf( $equal(op(e3,unit),op(e3,unit)) )],[refute_3_146,refute_3_147]) ).
cnf(refute_3_149,plain,
op(e3,unit) = op(e3,e0),
inference(resolve,[$cnf( $equal(unit,e0) )],[refute_3_145,refute_3_148]) ).
cnf(refute_3_150,plain,
( op(e3,unit) != e3
| op(e3,unit) != op(e3,e0)
| op(e3,e0) = e3 ),
introduced(tautology,[equality,[$cnf( $equal(op(e3,unit),e3) ),[0],$fot(op(e3,e0))]]) ).
cnf(refute_3_151,plain,
( op(e3,unit) != e3
| op(e3,e0) = e3 ),
inference(resolve,[$cnf( $equal(op(e3,unit),op(e3,e0)) )],[refute_3_149,refute_3_150]) ).
cnf(refute_3_152,plain,
op(e3,e0) = e3,
inference(resolve,[$cnf( $equal(op(e3,unit),e3) )],[refute_3_1,refute_3_151]) ).
cnf(refute_3_153,plain,
( e3 != op(e0,e3)
| op(e3,e0) != e3
| op(e3,e0) = op(e0,e3) ),
introduced(tautology,[equality,[$cnf( $equal(op(e3,e0),e3) ),[1],$fot(op(e0,e3))]]) ).
cnf(refute_3_154,plain,
( e3 != op(e0,e3)
| op(e3,e0) = op(e0,e3) ),
inference(resolve,[$cnf( $equal(op(e3,e0),e3) )],[refute_3_152,refute_3_153]) ).
cnf(refute_3_155,plain,
op(unit,e3) = op(unit,e3),
introduced(tautology,[refl,[$fot(op(unit,e3))]]) ).
cnf(refute_3_156,plain,
( op(unit,e3) != op(unit,e3)
| unit != e0
| op(unit,e3) = op(e0,e3) ),
introduced(tautology,[equality,[$cnf( $equal(op(unit,e3),op(unit,e3)) ),[1,0],$fot(e0)]]) ).
cnf(refute_3_157,plain,
( unit != e0
| op(unit,e3) = op(e0,e3) ),
inference(resolve,[$cnf( $equal(op(unit,e3),op(unit,e3)) )],[refute_3_155,refute_3_156]) ).
cnf(refute_3_158,plain,
op(unit,e3) = op(e0,e3),
inference(resolve,[$cnf( $equal(unit,e0) )],[refute_3_145,refute_3_157]) ).
cnf(refute_3_159,plain,
( op(unit,e3) != e3
| op(unit,e3) != op(e0,e3)
| op(e0,e3) = e3 ),
introduced(tautology,[equality,[$cnf( $equal(op(unit,e3),e3) ),[0],$fot(op(e0,e3))]]) ).
cnf(refute_3_160,plain,
( op(unit,e3) != e3
| op(e0,e3) = e3 ),
inference(resolve,[$cnf( $equal(op(unit,e3),op(e0,e3)) )],[refute_3_158,refute_3_159]) ).
cnf(refute_3_161,plain,
op(e0,e3) = e3,
inference(resolve,[$cnf( $equal(op(unit,e3),e3) )],[refute_3_74,refute_3_160]) ).
cnf(refute_3_162,plain,
( e3 != e3
| op(e0,e3) != e3
| e3 = op(e0,e3) ),
introduced(tautology,[equality,[$cnf( ~ $equal(e3,op(e0,e3)) ),[1],$fot(e3)]]) ).
cnf(refute_3_163,plain,
( e3 != e3
| e3 = op(e0,e3) ),
inference(resolve,[$cnf( $equal(op(e0,e3),e3) )],[refute_3_161,refute_3_162]) ).
cnf(refute_3_164,plain,
( e3 != e3
| op(e3,e0) = op(e0,e3) ),
inference(resolve,[$cnf( $equal(e3,op(e0,e3)) )],[refute_3_163,refute_3_154]) ).
cnf(refute_3_165,plain,
e3 != e3,
inference(resolve,[$cnf( $equal(op(e3,e0),op(e0,e3)) )],[refute_3_164,refute_3_0]) ).
cnf(refute_3_166,plain,
e3 = e3,
introduced(tautology,[refl,[$fot(e3)]]) ).
cnf(refute_3_167,plain,
$false,
inference(resolve,[$cnf( $equal(e3,e3) )],[refute_3_166,refute_3_165]) ).
fof(negate_4_0,plain,
~ ( ( ( op(e0,e0) = e0
| op(e1,e1) = e0
| op(e2,e2) = e0
| op(e3,e3) = e0
| op(e4,e4) = e0 )
& ( op(e0,e0) = e1
| op(e1,e1) = e1
| op(e2,e2) = e1
| op(e3,e3) = e1
| op(e4,e4) = e1 )
& ( op(e0,e0) = e2
| op(e1,e1) = e2
| op(e2,e2) = e2
| op(e3,e3) = e2
| op(e4,e4) = e2 )
& ( op(e0,e0) = e3
| op(e1,e1) = e3
| op(e2,e2) = e3
| op(e3,e3) = e3
| op(e4,e4) = e3 )
& ( op(e0,e0) = e4
| op(e1,e1) = e4
| op(e2,e2) = e4
| op(e3,e3) = e4
| op(e4,e4) = e4 )
& ~ ( op(e0,e0) != op(e0,e0)
& op(op(e0,e0),e0) = e0
& op(op(e0,e0),e0) != e0 )
& ~ ( op(e1,e0) != op(e0,e1)
& op(op(e0,e1),e1) = e0
& op(op(e0,e1),e0) != e1 )
& ~ ( op(e2,e0) != op(e0,e2)
& op(op(e0,e2),e2) = e0
& op(op(e0,e2),e0) != e2 )
& ~ ( op(e3,e0) != op(e0,e3)
& op(op(e0,e3),e3) = e0
& op(op(e0,e3),e0) != e3 )
& op(e4,e0) != op(e0,e4)
& op(op(e0,e4),e4) = e0 )
=> op(op(e0,e4),e0) = e4 ),
inference(negate,[],[subgoal_4]) ).
fof(normalize_4_0,plain,
( op(e4,e0) != op(e0,e4)
& op(op(e0,e4),e0) != e4
& op(op(e0,e4),e4) = e0
& ( op(op(e0,e1),e1) != e0
| op(e1,e0) = op(e0,e1)
| op(op(e0,e1),e0) = e1 )
& ( op(op(e0,e2),e2) != e0
| op(e2,e0) = op(e0,e2)
| op(op(e0,e2),e0) = e2 )
& ( op(op(e0,e3),e3) != e0
| op(e3,e0) = op(e0,e3)
| op(op(e0,e3),e0) = e3 )
& ( op(e0,e0) = e0
| op(e1,e1) = e0
| op(e2,e2) = e0
| op(e3,e3) = e0
| op(e4,e4) = e0 )
& ( op(e0,e0) = e1
| op(e1,e1) = e1
| op(e2,e2) = e1
| op(e3,e3) = e1
| op(e4,e4) = e1 )
& ( op(e0,e0) = e2
| op(e1,e1) = e2
| op(e2,e2) = e2
| op(e3,e3) = e2
| op(e4,e4) = e2 )
& ( op(e0,e0) = e3
| op(e1,e1) = e3
| op(e2,e2) = e3
| op(e3,e3) = e3
| op(e4,e4) = e3 )
& ( op(e0,e0) = e4
| op(e1,e1) = e4
| op(e2,e2) = e4
| op(e3,e3) = e4
| op(e4,e4) = e4 ) ),
inference(canonicalize,[],[negate_4_0]) ).
fof(normalize_4_1,plain,
( op(e0,e0) = e0
| op(e1,e1) = e0
| op(e2,e2) = e0
| op(e3,e3) = e0
| op(e4,e4) = e0 ),
inference(conjunct,[],[normalize_4_0]) ).
fof(normalize_4_2,plain,
( e0 = op(e1,op(op(e1,e1),op(e1,e1)))
& e2 = op(op(e1,e1),op(e1,e1))
& e3 = op(op(op(e1,e1),op(e1,e1)),op(op(e1,e1),op(e1,e1)))
& e4 = op(e1,e1) ),
inference(canonicalize,[],[ax6]) ).
fof(normalize_4_3,plain,
e4 = op(e1,e1),
inference(conjunct,[],[normalize_4_2]) ).
fof(normalize_4_4,plain,
e3 = op(op(op(e1,e1),op(e1,e1)),op(op(e1,e1),op(e1,e1))),
inference(conjunct,[],[normalize_4_2]) ).
fof(normalize_4_5,plain,
e2 = op(op(e1,e1),op(e1,e1)),
inference(conjunct,[],[normalize_4_2]) ).
fof(normalize_4_6,plain,
( e0 != e1
& e0 != e2
& e0 != e3
& e0 != e4
& e1 != e2
& e1 != e3
& e1 != e4
& e2 != e3
& e2 != e4
& e3 != e4 ),
inference(canonicalize,[],[ax5]) ).
fof(normalize_4_7,plain,
e0 != e2,
inference(conjunct,[],[normalize_4_6]) ).
fof(normalize_4_8,plain,
e0 != e3,
inference(conjunct,[],[normalize_4_6]) ).
fof(normalize_4_9,plain,
e0 != e4,
inference(conjunct,[],[normalize_4_6]) ).
fof(normalize_4_10,plain,
( op(e0,unit) = e0
& op(e1,unit) = e1
& op(e2,unit) = e2
& op(e3,unit) = e3
& op(e4,unit) = e4
& op(unit,e0) = e0
& op(unit,e1) = e1
& op(unit,e2) = e2
& op(unit,e3) = e3
& op(unit,e4) = e4
& ( unit = e0
| unit = e1
| unit = e2
| unit = e3
| unit = e4 ) ),
inference(canonicalize,[],[ax2]) ).
fof(normalize_4_11,plain,
op(e3,unit) = e3,
inference(conjunct,[],[normalize_4_10]) ).
fof(normalize_4_12,plain,
op(op(e0,e4),e4) = e0,
inference(conjunct,[],[normalize_4_0]) ).
fof(normalize_4_13,plain,
op(unit,e4) = e4,
inference(conjunct,[],[normalize_4_10]) ).
fof(normalize_4_14,plain,
op(unit,e3) = e3,
inference(conjunct,[],[normalize_4_10]) ).
fof(normalize_4_15,plain,
( unit = e0
| unit = e1
| unit = e2
| unit = e3
| unit = e4 ),
inference(conjunct,[],[normalize_4_10]) ).
fof(normalize_4_16,plain,
e2 != e4,
inference(conjunct,[],[normalize_4_6]) ).
fof(normalize_4_17,plain,
( op(e0,e0) != op(e0,e1)
& op(e0,e0) != op(e0,e2)
& op(e0,e0) != op(e0,e3)
& op(e0,e0) != op(e0,e4)
& op(e0,e0) != op(e1,e0)
& op(e0,e0) != op(e2,e0)
& op(e0,e0) != op(e3,e0)
& op(e0,e0) != op(e4,e0)
& op(e0,e1) != op(e0,e2)
& op(e0,e1) != op(e0,e3)
& op(e0,e1) != op(e0,e4)
& op(e0,e1) != op(e1,e1)
& op(e0,e1) != op(e2,e1)
& op(e0,e1) != op(e3,e1)
& op(e0,e1) != op(e4,e1)
& op(e0,e2) != op(e0,e3)
& op(e0,e2) != op(e0,e4)
& op(e0,e2) != op(e1,e2)
& op(e0,e2) != op(e2,e2)
& op(e0,e2) != op(e3,e2)
& op(e0,e2) != op(e4,e2)
& op(e0,e3) != op(e0,e4)
& op(e0,e3) != op(e1,e3)
& op(e0,e3) != op(e2,e3)
& op(e0,e3) != op(e3,e3)
& op(e0,e3) != op(e4,e3)
& op(e0,e4) != op(e1,e4)
& op(e0,e4) != op(e2,e4)
& op(e0,e4) != op(e3,e4)
& op(e0,e4) != op(e4,e4)
& op(e1,e0) != op(e1,e1)
& op(e1,e0) != op(e1,e2)
& op(e1,e0) != op(e1,e3)
& op(e1,e0) != op(e1,e4)
& op(e1,e0) != op(e2,e0)
& op(e1,e0) != op(e3,e0)
& op(e1,e0) != op(e4,e0)
& op(e1,e1) != op(e1,e2)
& op(e1,e1) != op(e1,e3)
& op(e1,e1) != op(e1,e4)
& op(e1,e1) != op(e2,e1)
& op(e1,e1) != op(e3,e1)
& op(e1,e1) != op(e4,e1)
& op(e1,e2) != op(e1,e3)
& op(e1,e2) != op(e1,e4)
& op(e1,e2) != op(e2,e2)
& op(e1,e2) != op(e3,e2)
& op(e1,e2) != op(e4,e2)
& op(e1,e3) != op(e1,e4)
& op(e1,e3) != op(e2,e3)
& op(e1,e3) != op(e3,e3)
& op(e1,e3) != op(e4,e3)
& op(e1,e4) != op(e2,e4)
& op(e1,e4) != op(e3,e4)
& op(e1,e4) != op(e4,e4)
& op(e2,e0) != op(e2,e1)
& op(e2,e0) != op(e2,e2)
& op(e2,e0) != op(e2,e3)
& op(e2,e0) != op(e2,e4)
& op(e2,e0) != op(e3,e0)
& op(e2,e0) != op(e4,e0)
& op(e2,e1) != op(e2,e2)
& op(e2,e1) != op(e2,e3)
& op(e2,e1) != op(e2,e4)
& op(e2,e1) != op(e3,e1)
& op(e2,e1) != op(e4,e1)
& op(e2,e2) != op(e2,e3)
& op(e2,e2) != op(e2,e4)
& op(e2,e2) != op(e3,e2)
& op(e2,e2) != op(e4,e2)
& op(e2,e3) != op(e2,e4)
& op(e2,e3) != op(e3,e3)
& op(e2,e3) != op(e4,e3)
& op(e2,e4) != op(e3,e4)
& op(e2,e4) != op(e4,e4)
& op(e3,e0) != op(e3,e1)
& op(e3,e0) != op(e3,e2)
& op(e3,e0) != op(e3,e3)
& op(e3,e0) != op(e3,e4)
& op(e3,e0) != op(e4,e0)
& op(e3,e1) != op(e3,e2)
& op(e3,e1) != op(e3,e3)
& op(e3,e1) != op(e3,e4)
& op(e3,e1) != op(e4,e1)
& op(e3,e2) != op(e3,e3)
& op(e3,e2) != op(e3,e4)
& op(e3,e2) != op(e4,e2)
& op(e3,e3) != op(e3,e4)
& op(e3,e3) != op(e4,e3)
& op(e3,e4) != op(e4,e4)
& op(e4,e0) != op(e4,e1)
& op(e4,e0) != op(e4,e2)
& op(e4,e0) != op(e4,e3)
& op(e4,e0) != op(e4,e4)
& op(e4,e1) != op(e4,e2)
& op(e4,e1) != op(e4,e3)
& op(e4,e1) != op(e4,e4)
& op(e4,e2) != op(e4,e3)
& op(e4,e2) != op(e4,e4)
& op(e4,e3) != op(e4,e4) ),
inference(canonicalize,[],[ax4]) ).
fof(normalize_4_18,plain,
op(e1,e1) != op(e1,e4),
inference(conjunct,[],[normalize_4_17]) ).
fof(normalize_4_19,plain,
op(e2,e2) != op(e2,e3),
inference(conjunct,[],[normalize_4_17]) ).
fof(normalize_4_20,plain,
op(e0,e0) != op(e0,e3),
inference(conjunct,[],[normalize_4_17]) ).
fof(normalize_4_21,plain,
op(e0,unit) = e0,
inference(conjunct,[],[normalize_4_10]) ).
cnf(refute_4_0,plain,
( op(e0,e0) = e0
| op(e1,e1) = e0
| op(e2,e2) = e0
| op(e3,e3) = e0
| op(e4,e4) = e0 ),
inference(canonicalize,[],[normalize_4_1]) ).
cnf(refute_4_1,plain,
e4 = op(e1,e1),
inference(canonicalize,[],[normalize_4_3]) ).
cnf(refute_4_2,plain,
X = X,
introduced(tautology,[refl,[$fot(X)]]) ).
cnf(refute_4_3,plain,
( X != X
| X != Y
| Y = X ),
introduced(tautology,[equality,[$cnf( $equal(X,X) ),[0],$fot(Y)]]) ).
cnf(refute_4_4,plain,
( X != Y
| Y = X ),
inference(resolve,[$cnf( $equal(X,X) )],[refute_4_2,refute_4_3]) ).
cnf(refute_4_5,plain,
( e4 != op(e1,e1)
| op(e1,e1) = e4 ),
inference(subst,[],[refute_4_4:[bind(X,$fot(e4)),bind(Y,$fot(op(e1,e1)))]]) ).
cnf(refute_4_6,plain,
op(e1,e1) = e4,
inference(resolve,[$cnf( $equal(e4,op(e1,e1)) )],[refute_4_1,refute_4_5]) ).
cnf(refute_4_7,plain,
( op(e1,e1) != e0
| op(e1,e1) != e4
| e4 = e0 ),
introduced(tautology,[equality,[$cnf( $equal(op(e1,e1),e0) ),[0],$fot(e4)]]) ).
cnf(refute_4_8,plain,
( op(e1,e1) != e0
| e4 = e0 ),
inference(resolve,[$cnf( $equal(op(e1,e1),e4) )],[refute_4_6,refute_4_7]) ).
cnf(refute_4_9,plain,
( e4 = e0
| op(e0,e0) = e0
| op(e2,e2) = e0
| op(e3,e3) = e0
| op(e4,e4) = e0 ),
inference(resolve,[$cnf( $equal(op(e1,e1),e0) )],[refute_4_0,refute_4_8]) ).
cnf(refute_4_10,plain,
e3 = op(op(op(e1,e1),op(e1,e1)),op(op(e1,e1),op(e1,e1))),
inference(canonicalize,[],[normalize_4_4]) ).
cnf(refute_4_11,plain,
e2 = op(op(e1,e1),op(e1,e1)),
inference(canonicalize,[],[normalize_4_5]) ).
cnf(refute_4_12,plain,
( e2 != op(op(e1,e1),op(e1,e1))
| op(op(e1,e1),op(e1,e1)) = e2 ),
inference(subst,[],[refute_4_4:[bind(X,$fot(e2)),bind(Y,$fot(op(op(e1,e1),op(e1,e1))))]]) ).
cnf(refute_4_13,plain,
op(op(e1,e1),op(e1,e1)) = e2,
inference(resolve,[$cnf( $equal(e2,op(op(e1,e1),op(e1,e1))) )],[refute_4_11,refute_4_12]) ).
cnf(refute_4_14,plain,
op(e2,op(op(e1,e1),op(e1,e1))) = op(e2,op(op(e1,e1),op(e1,e1))),
introduced(tautology,[refl,[$fot(op(e2,op(op(e1,e1),op(e1,e1))))]]) ).
cnf(refute_4_15,plain,
( op(e2,op(op(e1,e1),op(e1,e1))) != op(e2,op(op(e1,e1),op(e1,e1)))
| op(op(e1,e1),op(e1,e1)) != e2
| op(e2,op(op(e1,e1),op(e1,e1))) = op(e2,e2) ),
introduced(tautology,[equality,[$cnf( $equal(op(e2,op(op(e1,e1),op(e1,e1))),op(e2,op(op(e1,e1),op(e1,e1)))) ),[1,1],$fot(e2)]]) ).
cnf(refute_4_16,plain,
( op(op(e1,e1),op(e1,e1)) != e2
| op(e2,op(op(e1,e1),op(e1,e1))) = op(e2,e2) ),
inference(resolve,[$cnf( $equal(op(e2,op(op(e1,e1),op(e1,e1))),op(e2,op(op(e1,e1),op(e1,e1)))) )],[refute_4_14,refute_4_15]) ).
cnf(refute_4_17,plain,
op(e2,op(op(e1,e1),op(e1,e1))) = op(e2,e2),
inference(resolve,[$cnf( $equal(op(op(e1,e1),op(e1,e1)),e2) )],[refute_4_13,refute_4_16]) ).
cnf(refute_4_18,plain,
op(op(op(e1,e1),op(e1,e1)),op(op(e1,e1),op(e1,e1))) = op(op(op(e1,e1),op(e1,e1)),op(op(e1,e1),op(e1,e1))),
introduced(tautology,[refl,[$fot(op(op(op(e1,e1),op(e1,e1)),op(op(e1,e1),op(e1,e1))))]]) ).
cnf(refute_4_19,plain,
( op(op(e1,e1),op(e1,e1)) != e2
| op(op(op(e1,e1),op(e1,e1)),op(op(e1,e1),op(e1,e1))) != op(op(op(e1,e1),op(e1,e1)),op(op(e1,e1),op(e1,e1)))
| op(op(op(e1,e1),op(e1,e1)),op(op(e1,e1),op(e1,e1))) = op(e2,op(op(e1,e1),op(e1,e1))) ),
introduced(tautology,[equality,[$cnf( $equal(op(op(op(e1,e1),op(e1,e1)),op(op(e1,e1),op(e1,e1))),op(op(op(e1,e1),op(e1,e1)),op(op(e1,e1),op(e1,e1)))) ),[1,0],$fot(e2)]]) ).
cnf(refute_4_20,plain,
( op(op(e1,e1),op(e1,e1)) != e2
| op(op(op(e1,e1),op(e1,e1)),op(op(e1,e1),op(e1,e1))) = op(e2,op(op(e1,e1),op(e1,e1))) ),
inference(resolve,[$cnf( $equal(op(op(op(e1,e1),op(e1,e1)),op(op(e1,e1),op(e1,e1))),op(op(op(e1,e1),op(e1,e1)),op(op(e1,e1),op(e1,e1)))) )],[refute_4_18,refute_4_19]) ).
cnf(refute_4_21,plain,
op(op(op(e1,e1),op(e1,e1)),op(op(e1,e1),op(e1,e1))) = op(e2,op(op(e1,e1),op(e1,e1))),
inference(resolve,[$cnf( $equal(op(op(e1,e1),op(e1,e1)),e2) )],[refute_4_13,refute_4_20]) ).
cnf(refute_4_22,plain,
( Y != X
| Y != Z
| X = Z ),
introduced(tautology,[equality,[$cnf( $equal(Y,Z) ),[0],$fot(X)]]) ).
cnf(refute_4_23,plain,
( X != Y
| Y != Z
| X = Z ),
inference(resolve,[$cnf( $equal(Y,X) )],[refute_4_4,refute_4_22]) ).
cnf(refute_4_24,plain,
( op(e2,op(op(e1,e1),op(e1,e1))) != op(e2,e2)
| op(op(op(e1,e1),op(e1,e1)),op(op(e1,e1),op(e1,e1))) != op(e2,op(op(e1,e1),op(e1,e1)))
| op(op(op(e1,e1),op(e1,e1)),op(op(e1,e1),op(e1,e1))) = op(e2,e2) ),
inference(subst,[],[refute_4_23:[bind(X,$fot(op(op(op(e1,e1),op(e1,e1)),op(op(e1,e1),op(e1,e1))))),bind(Y,$fot(op(e2,op(op(e1,e1),op(e1,e1))))),bind(Z,$fot(op(e2,e2)))]]) ).
cnf(refute_4_25,plain,
( op(e2,op(op(e1,e1),op(e1,e1))) != op(e2,e2)
| op(op(op(e1,e1),op(e1,e1)),op(op(e1,e1),op(e1,e1))) = op(e2,e2) ),
inference(resolve,[$cnf( $equal(op(op(op(e1,e1),op(e1,e1)),op(op(e1,e1),op(e1,e1))),op(e2,op(op(e1,e1),op(e1,e1)))) )],[refute_4_21,refute_4_24]) ).
cnf(refute_4_26,plain,
op(op(op(e1,e1),op(e1,e1)),op(op(e1,e1),op(e1,e1))) = op(e2,e2),
inference(resolve,[$cnf( $equal(op(e2,op(op(e1,e1),op(e1,e1))),op(e2,e2)) )],[refute_4_17,refute_4_25]) ).
cnf(refute_4_27,plain,
( e3 != op(op(op(e1,e1),op(e1,e1)),op(op(e1,e1),op(e1,e1)))
| op(op(op(e1,e1),op(e1,e1)),op(op(e1,e1),op(e1,e1))) != op(e2,e2)
| e3 = op(e2,e2) ),
introduced(tautology,[equality,[$cnf( ~ $equal(e3,op(e2,e2)) ),[0],$fot(op(op(op(e1,e1),op(e1,e1)),op(op(e1,e1),op(e1,e1))))]]) ).
cnf(refute_4_28,plain,
( e3 != op(op(op(e1,e1),op(e1,e1)),op(op(e1,e1),op(e1,e1)))
| e3 = op(e2,e2) ),
inference(resolve,[$cnf( $equal(op(op(op(e1,e1),op(e1,e1)),op(op(e1,e1),op(e1,e1))),op(e2,e2)) )],[refute_4_26,refute_4_27]) ).
cnf(refute_4_29,plain,
e3 = op(e2,e2),
inference(resolve,[$cnf( $equal(e3,op(op(op(e1,e1),op(e1,e1)),op(op(e1,e1),op(e1,e1)))) )],[refute_4_10,refute_4_28]) ).
cnf(refute_4_30,plain,
( e3 != op(e2,e2)
| op(e2,e2) = e3 ),
inference(subst,[],[refute_4_4:[bind(X,$fot(e3)),bind(Y,$fot(op(e2,e2)))]]) ).
cnf(refute_4_31,plain,
op(e2,e2) = e3,
inference(resolve,[$cnf( $equal(e3,op(e2,e2)) )],[refute_4_29,refute_4_30]) ).
cnf(refute_4_32,plain,
( op(e2,e2) != e0
| op(e2,e2) != e3
| e3 = e0 ),
introduced(tautology,[equality,[$cnf( $equal(op(e2,e2),e0) ),[0],$fot(e3)]]) ).
cnf(refute_4_33,plain,
( op(e2,e2) != e0
| e3 = e0 ),
inference(resolve,[$cnf( $equal(op(e2,e2),e3) )],[refute_4_31,refute_4_32]) ).
cnf(refute_4_34,plain,
( e3 = e0
| e4 = e0
| op(e0,e0) = e0
| op(e3,e3) = e0
| op(e4,e4) = e0 ),
inference(resolve,[$cnf( $equal(op(e2,e2),e0) )],[refute_4_9,refute_4_33]) ).
cnf(refute_4_35,plain,
op(e4,op(e1,e1)) = op(e4,op(e1,e1)),
introduced(tautology,[refl,[$fot(op(e4,op(e1,e1)))]]) ).
cnf(refute_4_36,plain,
( op(e1,e1) != e4
| op(e4,op(e1,e1)) != op(e4,op(e1,e1))
| op(e4,op(e1,e1)) = op(e4,e4) ),
introduced(tautology,[equality,[$cnf( $equal(op(e4,op(e1,e1)),op(e4,op(e1,e1))) ),[1,1],$fot(e4)]]) ).
cnf(refute_4_37,plain,
( op(e1,e1) != e4
| op(e4,op(e1,e1)) = op(e4,e4) ),
inference(resolve,[$cnf( $equal(op(e4,op(e1,e1)),op(e4,op(e1,e1))) )],[refute_4_35,refute_4_36]) ).
cnf(refute_4_38,plain,
op(e4,op(e1,e1)) = op(e4,e4),
inference(resolve,[$cnf( $equal(op(e1,e1),e4) )],[refute_4_6,refute_4_37]) ).
cnf(refute_4_39,plain,
op(op(e1,e1),op(e1,e1)) = op(op(e1,e1),op(e1,e1)),
introduced(tautology,[refl,[$fot(op(op(e1,e1),op(e1,e1)))]]) ).
cnf(refute_4_40,plain,
( op(e1,e1) != e4
| op(op(e1,e1),op(e1,e1)) != op(op(e1,e1),op(e1,e1))
| op(op(e1,e1),op(e1,e1)) = op(e4,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(e4)]]) ).
cnf(refute_4_41,plain,
( op(e1,e1) != e4
| op(op(e1,e1),op(e1,e1)) = op(e4,op(e1,e1)) ),
inference(resolve,[$cnf( $equal(op(op(e1,e1),op(e1,e1)),op(op(e1,e1),op(e1,e1))) )],[refute_4_39,refute_4_40]) ).
cnf(refute_4_42,plain,
op(op(e1,e1),op(e1,e1)) = op(e4,op(e1,e1)),
inference(resolve,[$cnf( $equal(op(e1,e1),e4) )],[refute_4_6,refute_4_41]) ).
cnf(refute_4_43,plain,
( op(e4,op(e1,e1)) != op(e4,e4)
| op(op(e1,e1),op(e1,e1)) != op(e4,op(e1,e1))
| op(op(e1,e1),op(e1,e1)) = op(e4,e4) ),
inference(subst,[],[refute_4_23:[bind(X,$fot(op(op(e1,e1),op(e1,e1)))),bind(Y,$fot(op(e4,op(e1,e1)))),bind(Z,$fot(op(e4,e4)))]]) ).
cnf(refute_4_44,plain,
( op(e4,op(e1,e1)) != op(e4,e4)
| op(op(e1,e1),op(e1,e1)) = op(e4,e4) ),
inference(resolve,[$cnf( $equal(op(op(e1,e1),op(e1,e1)),op(e4,op(e1,e1))) )],[refute_4_42,refute_4_43]) ).
cnf(refute_4_45,plain,
op(op(e1,e1),op(e1,e1)) = op(e4,e4),
inference(resolve,[$cnf( $equal(op(e4,op(e1,e1)),op(e4,e4)) )],[refute_4_38,refute_4_44]) ).
cnf(refute_4_46,plain,
( e2 != op(op(e1,e1),op(e1,e1))
| op(op(e1,e1),op(e1,e1)) != op(e4,e4)
| e2 = op(e4,e4) ),
introduced(tautology,[equality,[$cnf( ~ $equal(e2,op(e4,e4)) ),[0],$fot(op(op(e1,e1),op(e1,e1)))]]) ).
cnf(refute_4_47,plain,
( e2 != op(op(e1,e1),op(e1,e1))
| e2 = op(e4,e4) ),
inference(resolve,[$cnf( $equal(op(op(e1,e1),op(e1,e1)),op(e4,e4)) )],[refute_4_45,refute_4_46]) ).
cnf(refute_4_48,plain,
e2 = op(e4,e4),
inference(resolve,[$cnf( $equal(e2,op(op(e1,e1),op(e1,e1))) )],[refute_4_11,refute_4_47]) ).
cnf(refute_4_49,plain,
( e2 != op(e4,e4)
| op(e4,e4) = e2 ),
inference(subst,[],[refute_4_4:[bind(X,$fot(e2)),bind(Y,$fot(op(e4,e4)))]]) ).
cnf(refute_4_50,plain,
op(e4,e4) = e2,
inference(resolve,[$cnf( $equal(e2,op(e4,e4)) )],[refute_4_48,refute_4_49]) ).
cnf(refute_4_51,plain,
( op(e4,e4) != e0
| op(e4,e4) != e2
| e2 = e0 ),
introduced(tautology,[equality,[$cnf( $equal(op(e4,e4),e0) ),[0],$fot(e2)]]) ).
cnf(refute_4_52,plain,
( op(e4,e4) != e0
| e2 = e0 ),
inference(resolve,[$cnf( $equal(op(e4,e4),e2) )],[refute_4_50,refute_4_51]) ).
cnf(refute_4_53,plain,
( e2 = e0
| e3 = e0
| e4 = e0
| op(e0,e0) = e0
| op(e3,e3) = e0 ),
inference(resolve,[$cnf( $equal(op(e4,e4),e0) )],[refute_4_34,refute_4_52]) ).
cnf(refute_4_54,plain,
e0 != e2,
inference(canonicalize,[],[normalize_4_7]) ).
cnf(refute_4_55,plain,
( e2 != e0
| e0 = e2 ),
inference(subst,[],[refute_4_4:[bind(X,$fot(e2)),bind(Y,$fot(e0))]]) ).
cnf(refute_4_56,plain,
e2 != e0,
inference(resolve,[$cnf( $equal(e0,e2) )],[refute_4_55,refute_4_54]) ).
cnf(refute_4_57,plain,
( e3 = e0
| e4 = e0
| op(e0,e0) = e0
| op(e3,e3) = e0 ),
inference(resolve,[$cnf( $equal(e2,e0) )],[refute_4_53,refute_4_56]) ).
cnf(refute_4_58,plain,
e0 != e3,
inference(canonicalize,[],[normalize_4_8]) ).
cnf(refute_4_59,plain,
( e3 != e0
| e0 = e3 ),
inference(subst,[],[refute_4_4:[bind(X,$fot(e3)),bind(Y,$fot(e0))]]) ).
cnf(refute_4_60,plain,
e3 != e0,
inference(resolve,[$cnf( $equal(e0,e3) )],[refute_4_59,refute_4_58]) ).
cnf(refute_4_61,plain,
( e4 = e0
| op(e0,e0) = e0
| op(e3,e3) = e0 ),
inference(resolve,[$cnf( $equal(e3,e0) )],[refute_4_57,refute_4_60]) ).
cnf(refute_4_62,plain,
e0 != e4,
inference(canonicalize,[],[normalize_4_9]) ).
cnf(refute_4_63,plain,
( e4 != e0
| e0 = e4 ),
inference(subst,[],[refute_4_4:[bind(X,$fot(e4)),bind(Y,$fot(e0))]]) ).
cnf(refute_4_64,plain,
e4 != e0,
inference(resolve,[$cnf( $equal(e0,e4) )],[refute_4_63,refute_4_62]) ).
cnf(refute_4_65,plain,
( op(e0,e0) = e0
| op(e3,e3) = e0 ),
inference(resolve,[$cnf( $equal(e4,e0) )],[refute_4_61,refute_4_64]) ).
cnf(refute_4_66,plain,
op(e3,unit) = e3,
inference(canonicalize,[],[normalize_4_11]) ).
cnf(refute_4_67,plain,
op(op(e0,e4),e4) = e0,
inference(canonicalize,[],[normalize_4_12]) ).
cnf(refute_4_68,plain,
op(unit,e4) = e4,
inference(canonicalize,[],[normalize_4_13]) ).
cnf(refute_4_69,plain,
op(unit,e3) = e3,
inference(canonicalize,[],[normalize_4_14]) ).
cnf(refute_4_70,plain,
( unit = e0
| unit = e1
| unit = e2
| unit = e3
| unit = e4 ),
inference(canonicalize,[],[normalize_4_15]) ).
cnf(refute_4_71,plain,
( op(unit,e4) != e4
| unit != e4
| op(e4,e4) = e4 ),
introduced(tautology,[equality,[$cnf( $equal(op(unit,e4),e4) ),[0,0],$fot(e4)]]) ).
cnf(refute_4_72,plain,
( op(unit,e4) != e4
| op(e4,e4) = e4
| unit = e0
| unit = e1
| unit = e2
| unit = e3 ),
inference(resolve,[$cnf( $equal(unit,e4) )],[refute_4_70,refute_4_71]) ).
cnf(refute_4_73,plain,
( op(e4,e4) = e4
| unit = e0
| unit = e1
| unit = e2
| unit = e3 ),
inference(resolve,[$cnf( $equal(op(unit,e4),e4) )],[refute_4_68,refute_4_72]) ).
cnf(refute_4_74,plain,
( op(e4,e4) != e2
| op(e4,e4) != e4
| e2 = e4 ),
introduced(tautology,[equality,[$cnf( $equal(op(e4,e4),e4) ),[0],$fot(e2)]]) ).
cnf(refute_4_75,plain,
( op(e4,e4) != e4
| e2 = e4 ),
inference(resolve,[$cnf( $equal(op(e4,e4),e2) )],[refute_4_50,refute_4_74]) ).
cnf(refute_4_76,plain,
( e2 = e4
| unit = e0
| unit = e1
| unit = e2
| unit = e3 ),
inference(resolve,[$cnf( $equal(op(e4,e4),e4) )],[refute_4_73,refute_4_75]) ).
cnf(refute_4_77,plain,
e2 != e4,
inference(canonicalize,[],[normalize_4_16]) ).
cnf(refute_4_78,plain,
( unit = e0
| unit = e1
| unit = e2
| unit = e3 ),
inference(resolve,[$cnf( $equal(e2,e4) )],[refute_4_76,refute_4_77]) ).
cnf(refute_4_79,plain,
( op(unit,e4) != e4
| unit != e1
| op(e1,e4) = e4 ),
introduced(tautology,[equality,[$cnf( $equal(op(unit,e4),e4) ),[0,0],$fot(e1)]]) ).
cnf(refute_4_80,plain,
( op(unit,e4) != e4
| op(e1,e4) = e4
| unit = e0
| unit = e2
| unit = e3 ),
inference(resolve,[$cnf( $equal(unit,e1) )],[refute_4_78,refute_4_79]) ).
cnf(refute_4_81,plain,
( op(e1,e4) = e4
| unit = e0
| unit = e2
| unit = e3 ),
inference(resolve,[$cnf( $equal(op(unit,e4),e4) )],[refute_4_68,refute_4_80]) ).
cnf(refute_4_82,plain,
op(e1,e1) != op(e1,e4),
inference(canonicalize,[],[normalize_4_18]) ).
cnf(refute_4_83,plain,
( e4 != op(e1,e4)
| op(e1,e1) != e4
| op(e1,e1) = op(e1,e4) ),
introduced(tautology,[equality,[$cnf( $equal(op(e1,e1),e4) ),[1],$fot(op(e1,e4))]]) ).
cnf(refute_4_84,plain,
( e4 != op(e1,e4)
| op(e1,e1) = op(e1,e4) ),
inference(resolve,[$cnf( $equal(op(e1,e1),e4) )],[refute_4_6,refute_4_83]) ).
cnf(refute_4_85,plain,
e4 != op(e1,e4),
inference(resolve,[$cnf( $equal(op(e1,e1),op(e1,e4)) )],[refute_4_84,refute_4_82]) ).
cnf(refute_4_86,plain,
( op(e1,e4) != e4
| e4 = op(e1,e4) ),
inference(subst,[],[refute_4_4:[bind(X,$fot(op(e1,e4))),bind(Y,$fot(e4))]]) ).
cnf(refute_4_87,plain,
op(e1,e4) != e4,
inference(resolve,[$cnf( $equal(e4,op(e1,e4)) )],[refute_4_86,refute_4_85]) ).
cnf(refute_4_88,plain,
( unit = e0
| unit = e2
| unit = e3 ),
inference(resolve,[$cnf( $equal(op(e1,e4),e4) )],[refute_4_81,refute_4_87]) ).
cnf(refute_4_89,plain,
( op(unit,e3) != e3
| unit != e2
| op(e2,e3) = e3 ),
introduced(tautology,[equality,[$cnf( $equal(op(unit,e3),e3) ),[0,0],$fot(e2)]]) ).
cnf(refute_4_90,plain,
( op(unit,e3) != e3
| op(e2,e3) = e3
| unit = e0
| unit = e3 ),
inference(resolve,[$cnf( $equal(unit,e2) )],[refute_4_88,refute_4_89]) ).
cnf(refute_4_91,plain,
( op(e2,e3) = e3
| unit = e0
| unit = e3 ),
inference(resolve,[$cnf( $equal(op(unit,e3),e3) )],[refute_4_69,refute_4_90]) ).
cnf(refute_4_92,plain,
op(e2,e2) != op(e2,e3),
inference(canonicalize,[],[normalize_4_19]) ).
cnf(refute_4_93,plain,
( e3 != op(e2,e3)
| op(e2,e2) != e3
| op(e2,e2) = op(e2,e3) ),
introduced(tautology,[equality,[$cnf( $equal(op(e2,e2),e3) ),[1],$fot(op(e2,e3))]]) ).
cnf(refute_4_94,plain,
( e3 != op(e2,e3)
| op(e2,e2) = op(e2,e3) ),
inference(resolve,[$cnf( $equal(op(e2,e2),e3) )],[refute_4_31,refute_4_93]) ).
cnf(refute_4_95,plain,
e3 != op(e2,e3),
inference(resolve,[$cnf( $equal(op(e2,e2),op(e2,e3)) )],[refute_4_94,refute_4_92]) ).
cnf(refute_4_96,plain,
( op(e2,e3) != e3
| e3 = op(e2,e3) ),
inference(subst,[],[refute_4_4:[bind(X,$fot(op(e2,e3))),bind(Y,$fot(e3))]]) ).
cnf(refute_4_97,plain,
op(e2,e3) != e3,
inference(resolve,[$cnf( $equal(e3,op(e2,e3)) )],[refute_4_96,refute_4_95]) ).
cnf(refute_4_98,plain,
( unit = e0
| unit = e3 ),
inference(resolve,[$cnf( $equal(op(e2,e3),e3) )],[refute_4_91,refute_4_97]) ).
cnf(refute_4_99,plain,
( op(unit,e4) != e4
| unit != e0
| op(e0,e4) = e4 ),
introduced(tautology,[equality,[$cnf( $equal(op(unit,e4),e4) ),[0,0],$fot(e0)]]) ).
cnf(refute_4_100,plain,
( op(unit,e4) != e4
| op(e0,e4) = e4
| unit = e3 ),
inference(resolve,[$cnf( $equal(unit,e0) )],[refute_4_98,refute_4_99]) ).
cnf(refute_4_101,plain,
( op(e0,e4) = e4
| unit = e3 ),
inference(resolve,[$cnf( $equal(op(unit,e4),e4) )],[refute_4_68,refute_4_100]) ).
cnf(refute_4_102,plain,
( op(e0,e4) != e4
| op(op(e0,e4),e4) != e0
| op(e4,e4) = e0 ),
introduced(tautology,[equality,[$cnf( $equal(op(op(e0,e4),e4),e0) ),[0,0],$fot(e4)]]) ).
cnf(refute_4_103,plain,
( op(op(e0,e4),e4) != e0
| op(e4,e4) = e0
| unit = e3 ),
inference(resolve,[$cnf( $equal(op(e0,e4),e4) )],[refute_4_101,refute_4_102]) ).
cnf(refute_4_104,plain,
( op(e4,e4) = e0
| unit = e3 ),
inference(resolve,[$cnf( $equal(op(op(e0,e4),e4),e0) )],[refute_4_67,refute_4_103]) ).
cnf(refute_4_105,plain,
( e2 = e0
| unit = e3 ),
inference(resolve,[$cnf( $equal(op(e4,e4),e0) )],[refute_4_104,refute_4_52]) ).
cnf(refute_4_106,plain,
unit = e3,
inference(resolve,[$cnf( $equal(e2,e0) )],[refute_4_105,refute_4_56]) ).
cnf(refute_4_107,plain,
op(e3,unit) = op(e3,unit),
introduced(tautology,[refl,[$fot(op(e3,unit))]]) ).
cnf(refute_4_108,plain,
( op(e3,unit) != op(e3,unit)
| unit != e3
| op(e3,unit) = op(e3,e3) ),
introduced(tautology,[equality,[$cnf( $equal(op(e3,unit),op(e3,unit)) ),[1,1],$fot(e3)]]) ).
cnf(refute_4_109,plain,
( unit != e3
| op(e3,unit) = op(e3,e3) ),
inference(resolve,[$cnf( $equal(op(e3,unit),op(e3,unit)) )],[refute_4_107,refute_4_108]) ).
cnf(refute_4_110,plain,
op(e3,unit) = op(e3,e3),
inference(resolve,[$cnf( $equal(unit,e3) )],[refute_4_106,refute_4_109]) ).
cnf(refute_4_111,plain,
( op(e3,unit) != e3
| op(e3,unit) != op(e3,e3)
| op(e3,e3) = e3 ),
introduced(tautology,[equality,[$cnf( $equal(op(e3,unit),e3) ),[0],$fot(op(e3,e3))]]) ).
cnf(refute_4_112,plain,
( op(e3,unit) != e3
| op(e3,e3) = e3 ),
inference(resolve,[$cnf( $equal(op(e3,unit),op(e3,e3)) )],[refute_4_110,refute_4_111]) ).
cnf(refute_4_113,plain,
op(e3,e3) = e3,
inference(resolve,[$cnf( $equal(op(e3,unit),e3) )],[refute_4_66,refute_4_112]) ).
cnf(refute_4_114,plain,
( op(e3,e3) != e0
| op(e3,e3) != e3
| e3 = e0 ),
introduced(tautology,[equality,[$cnf( $equal(op(e3,e3),e0) ),[0],$fot(e3)]]) ).
cnf(refute_4_115,plain,
( op(e3,e3) != e0
| e3 = e0 ),
inference(resolve,[$cnf( $equal(op(e3,e3),e3) )],[refute_4_113,refute_4_114]) ).
cnf(refute_4_116,plain,
( e3 = e0
| op(e0,e0) = e0 ),
inference(resolve,[$cnf( $equal(op(e3,e3),e0) )],[refute_4_65,refute_4_115]) ).
cnf(refute_4_117,plain,
op(e0,e0) = e0,
inference(resolve,[$cnf( $equal(e3,e0) )],[refute_4_116,refute_4_60]) ).
cnf(refute_4_118,plain,
op(e0,e0) != op(e0,e3),
inference(canonicalize,[],[normalize_4_20]) ).
cnf(refute_4_119,plain,
op(e0,unit) = e0,
inference(canonicalize,[],[normalize_4_21]) ).
cnf(refute_4_120,plain,
op(e0,unit) = op(e0,unit),
introduced(tautology,[refl,[$fot(op(e0,unit))]]) ).
cnf(refute_4_121,plain,
( op(e0,unit) != op(e0,unit)
| unit != e3
| op(e0,unit) = op(e0,e3) ),
introduced(tautology,[equality,[$cnf( $equal(op(e0,unit),op(e0,unit)) ),[1,1],$fot(e3)]]) ).
cnf(refute_4_122,plain,
( unit != e3
| op(e0,unit) = op(e0,e3) ),
inference(resolve,[$cnf( $equal(op(e0,unit),op(e0,unit)) )],[refute_4_120,refute_4_121]) ).
cnf(refute_4_123,plain,
op(e0,unit) = op(e0,e3),
inference(resolve,[$cnf( $equal(unit,e3) )],[refute_4_106,refute_4_122]) ).
cnf(refute_4_124,plain,
( op(e0,unit) != e0
| op(e0,unit) != op(e0,e3)
| op(e0,e3) = e0 ),
introduced(tautology,[equality,[$cnf( $equal(op(e0,unit),e0) ),[0],$fot(op(e0,e3))]]) ).
cnf(refute_4_125,plain,
( op(e0,unit) != e0
| op(e0,e3) = e0 ),
inference(resolve,[$cnf( $equal(op(e0,unit),op(e0,e3)) )],[refute_4_123,refute_4_124]) ).
cnf(refute_4_126,plain,
op(e0,e3) = e0,
inference(resolve,[$cnf( $equal(op(e0,unit),e0) )],[refute_4_119,refute_4_125]) ).
cnf(refute_4_127,plain,
( op(e0,e0) != e0
| op(e0,e3) != e0
| op(e0,e0) = op(e0,e3) ),
introduced(tautology,[equality,[$cnf( ~ $equal(op(e0,e0),op(e0,e3)) ),[1],$fot(e0)]]) ).
cnf(refute_4_128,plain,
( op(e0,e0) != e0
| op(e0,e0) = op(e0,e3) ),
inference(resolve,[$cnf( $equal(op(e0,e3),e0) )],[refute_4_126,refute_4_127]) ).
cnf(refute_4_129,plain,
op(e0,e0) != e0,
inference(resolve,[$cnf( $equal(op(e0,e0),op(e0,e3)) )],[refute_4_128,refute_4_118]) ).
cnf(refute_4_130,plain,
$false,
inference(resolve,[$cnf( $equal(op(e0,e0),e0) )],[refute_4_117,refute_4_129]) ).
fof(negate_5_0,plain,
~ ( ( ( op(e0,e0) = e0
| op(e1,e1) = e0
| op(e2,e2) = e0
| op(e3,e3) = e0
| op(e4,e4) = e0 )
& ( op(e0,e0) = e1
| op(e1,e1) = e1
| op(e2,e2) = e1
| op(e3,e3) = e1
| op(e4,e4) = e1 )
& ( op(e0,e0) = e2
| op(e1,e1) = e2
| op(e2,e2) = e2
| op(e3,e3) = e2
| op(e4,e4) = e2 )
& ( op(e0,e0) = e3
| op(e1,e1) = e3
| op(e2,e2) = e3
| op(e3,e3) = e3
| op(e4,e4) = e3 )
& ( op(e0,e0) = e4
| op(e1,e1) = e4
| op(e2,e2) = e4
| op(e3,e3) = e4
| op(e4,e4) = e4 )
& ~ ( op(e0,e0) != op(e0,e0)
& op(op(e0,e0),e0) = e0
& op(op(e0,e0),e0) != e0 )
& ~ ( op(e1,e0) != op(e0,e1)
& op(op(e0,e1),e1) = e0
& op(op(e0,e1),e0) != e1 )
& ~ ( op(e2,e0) != op(e0,e2)
& op(op(e0,e2),e2) = e0
& op(op(e0,e2),e0) != e2 )
& ~ ( op(e3,e0) != op(e0,e3)
& op(op(e0,e3),e3) = e0
& op(op(e0,e3),e0) != e3 )
& ~ ( op(e4,e0) != op(e0,e4)
& op(op(e0,e4),e4) = e0
& op(op(e0,e4),e0) != e4 )
& op(e0,e1) != op(e1,e0)
& op(op(e1,e0),e0) = e1 )
=> op(op(e1,e0),e1) = e0 ),
inference(negate,[],[subgoal_5]) ).
fof(normalize_5_0,plain,
( op(e0,e1) != op(e1,e0)
& op(op(e1,e0),e1) != e0
& op(op(e1,e0),e0) = e1
& ( op(op(e0,e1),e1) != e0
| op(e1,e0) = op(e0,e1)
| op(op(e0,e1),e0) = e1 )
& ( op(op(e0,e2),e2) != e0
| op(e2,e0) = op(e0,e2)
| op(op(e0,e2),e0) = e2 )
& ( op(op(e0,e3),e3) != e0
| op(e3,e0) = op(e0,e3)
| op(op(e0,e3),e0) = e3 )
& ( op(op(e0,e4),e4) != e0
| op(e4,e0) = op(e0,e4)
| op(op(e0,e4),e0) = e4 )
& ( op(e0,e0) = e0
| op(e1,e1) = e0
| op(e2,e2) = e0
| op(e3,e3) = e0
| op(e4,e4) = e0 )
& ( op(e0,e0) = e1
| op(e1,e1) = e1
| op(e2,e2) = e1
| op(e3,e3) = e1
| op(e4,e4) = e1 )
& ( op(e0,e0) = e2
| op(e1,e1) = e2
| op(e2,e2) = e2
| op(e3,e3) = e2
| op(e4,e4) = e2 )
& ( op(e0,e0) = e3
| op(e1,e1) = e3
| op(e2,e2) = e3
| op(e3,e3) = e3
| op(e4,e4) = e3 )
& ( op(e0,e0) = e4
| op(e1,e1) = e4
| op(e2,e2) = e4
| op(e3,e3) = e4
| op(e4,e4) = e4 ) ),
inference(canonicalize,[],[negate_5_0]) ).
fof(normalize_5_1,plain,
op(e0,e1) != op(e1,e0),
inference(conjunct,[],[normalize_5_0]) ).
fof(normalize_5_2,plain,
( op(e0,unit) = e0
& op(e1,unit) = e1
& op(e2,unit) = e2
& op(e3,unit) = e3
& op(e4,unit) = e4
& op(unit,e0) = e0
& op(unit,e1) = e1
& op(unit,e2) = e2
& op(unit,e3) = e3
& op(unit,e4) = e4
& ( unit = e0
| unit = e1
| unit = e2
| unit = e3
| unit = e4 ) ),
inference(canonicalize,[],[ax2]) ).
fof(normalize_5_3,plain,
op(unit,e1) = e1,
inference(conjunct,[],[normalize_5_2]) ).
fof(normalize_5_4,plain,
( op(e0,e0) != op(e0,e1)
& op(e0,e0) != op(e0,e2)
& op(e0,e0) != op(e0,e3)
& op(e0,e0) != op(e0,e4)
& op(e0,e0) != op(e1,e0)
& op(e0,e0) != op(e2,e0)
& op(e0,e0) != op(e3,e0)
& op(e0,e0) != op(e4,e0)
& op(e0,e1) != op(e0,e2)
& op(e0,e1) != op(e0,e3)
& op(e0,e1) != op(e0,e4)
& op(e0,e1) != op(e1,e1)
& op(e0,e1) != op(e2,e1)
& op(e0,e1) != op(e3,e1)
& op(e0,e1) != op(e4,e1)
& op(e0,e2) != op(e0,e3)
& op(e0,e2) != op(e0,e4)
& op(e0,e2) != op(e1,e2)
& op(e0,e2) != op(e2,e2)
& op(e0,e2) != op(e3,e2)
& op(e0,e2) != op(e4,e2)
& op(e0,e3) != op(e0,e4)
& op(e0,e3) != op(e1,e3)
& op(e0,e3) != op(e2,e3)
& op(e0,e3) != op(e3,e3)
& op(e0,e3) != op(e4,e3)
& op(e0,e4) != op(e1,e4)
& op(e0,e4) != op(e2,e4)
& op(e0,e4) != op(e3,e4)
& op(e0,e4) != op(e4,e4)
& op(e1,e0) != op(e1,e1)
& op(e1,e0) != op(e1,e2)
& op(e1,e0) != op(e1,e3)
& op(e1,e0) != op(e1,e4)
& op(e1,e0) != op(e2,e0)
& op(e1,e0) != op(e3,e0)
& op(e1,e0) != op(e4,e0)
& op(e1,e1) != op(e1,e2)
& op(e1,e1) != op(e1,e3)
& op(e1,e1) != op(e1,e4)
& op(e1,e1) != op(e2,e1)
& op(e1,e1) != op(e3,e1)
& op(e1,e1) != op(e4,e1)
& op(e1,e2) != op(e1,e3)
& op(e1,e2) != op(e1,e4)
& op(e1,e2) != op(e2,e2)
& op(e1,e2) != op(e3,e2)
& op(e1,e2) != op(e4,e2)
& op(e1,e3) != op(e1,e4)
& op(e1,e3) != op(e2,e3)
& op(e1,e3) != op(e3,e3)
& op(e1,e3) != op(e4,e3)
& op(e1,e4) != op(e2,e4)
& op(e1,e4) != op(e3,e4)
& op(e1,e4) != op(e4,e4)
& op(e2,e0) != op(e2,e1)
& op(e2,e0) != op(e2,e2)
& op(e2,e0) != op(e2,e3)
& op(e2,e0) != op(e2,e4)
& op(e2,e0) != op(e3,e0)
& op(e2,e0) != op(e4,e0)
& op(e2,e1) != op(e2,e2)
& op(e2,e1) != op(e2,e3)
& op(e2,e1) != op(e2,e4)
& op(e2,e1) != op(e3,e1)
& op(e2,e1) != op(e4,e1)
& op(e2,e2) != op(e2,e3)
& op(e2,e2) != op(e2,e4)
& op(e2,e2) != op(e3,e2)
& op(e2,e2) != op(e4,e2)
& op(e2,e3) != op(e2,e4)
& op(e2,e3) != op(e3,e3)
& op(e2,e3) != op(e4,e3)
& op(e2,e4) != op(e3,e4)
& op(e2,e4) != op(e4,e4)
& op(e3,e0) != op(e3,e1)
& op(e3,e0) != op(e3,e2)
& op(e3,e0) != op(e3,e3)
& op(e3,e0) != op(e3,e4)
& op(e3,e0) != op(e4,e0)
& op(e3,e1) != op(e3,e2)
& op(e3,e1) != op(e3,e3)
& op(e3,e1) != op(e3,e4)
& op(e3,e1) != op(e4,e1)
& op(e3,e2) != op(e3,e3)
& op(e3,e2) != op(e3,e4)
& op(e3,e2) != op(e4,e2)
& op(e3,e3) != op(e3,e4)
& op(e3,e3) != op(e4,e3)
& op(e3,e4) != op(e4,e4)
& op(e4,e0) != op(e4,e1)
& op(e4,e0) != op(e4,e2)
& op(e4,e0) != op(e4,e3)
& op(e4,e0) != op(e4,e4)
& op(e4,e1) != op(e4,e2)
& op(e4,e1) != op(e4,e3)
& op(e4,e1) != op(e4,e4)
& op(e4,e2) != op(e4,e3)
& op(e4,e2) != op(e4,e4)
& op(e4,e3) != op(e4,e4) ),
inference(canonicalize,[],[ax4]) ).
fof(normalize_5_5,plain,
op(e3,e0) != op(e3,e3),
inference(conjunct,[],[normalize_5_4]) ).
fof(normalize_5_6,plain,
( op(e0,e0) = e0
| op(e1,e1) = e0
| op(e2,e2) = e0
| op(e3,e3) = e0
| op(e4,e4) = e0 ),
inference(conjunct,[],[normalize_5_0]) ).
fof(normalize_5_7,plain,
( e0 = op(e1,op(op(e1,e1),op(e1,e1)))
& e2 = op(op(e1,e1),op(e1,e1))
& e3 = op(op(op(e1,e1),op(e1,e1)),op(op(e1,e1),op(e1,e1)))
& e4 = op(e1,e1) ),
inference(canonicalize,[],[ax6]) ).
fof(normalize_5_8,plain,
e4 = op(e1,e1),
inference(conjunct,[],[normalize_5_7]) ).
fof(normalize_5_9,plain,
e3 = op(op(op(e1,e1),op(e1,e1)),op(op(e1,e1),op(e1,e1))),
inference(conjunct,[],[normalize_5_7]) ).
fof(normalize_5_10,plain,
e2 = op(op(e1,e1),op(e1,e1)),
inference(conjunct,[],[normalize_5_7]) ).
fof(normalize_5_11,plain,
( e0 != e1
& e0 != e2
& e0 != e3
& e0 != e4
& e1 != e2
& e1 != e3
& e1 != e4
& e2 != e3
& e2 != e4
& e3 != e4 ),
inference(canonicalize,[],[ax5]) ).
fof(normalize_5_12,plain,
e0 != e2,
inference(conjunct,[],[normalize_5_11]) ).
fof(normalize_5_13,plain,
e0 != e3,
inference(conjunct,[],[normalize_5_11]) ).
fof(normalize_5_14,plain,
e0 != e4,
inference(conjunct,[],[normalize_5_11]) ).
fof(normalize_5_15,plain,
op(unit,e0) = e0,
inference(conjunct,[],[normalize_5_2]) ).
fof(normalize_5_16,plain,
op(unit,e2) = e2,
inference(conjunct,[],[normalize_5_2]) ).
fof(normalize_5_17,plain,
op(unit,e3) = e3,
inference(conjunct,[],[normalize_5_2]) ).
fof(normalize_5_18,plain,
( unit = e0
| unit = e1
| unit = e2
| unit = e3
| unit = e4 ),
inference(conjunct,[],[normalize_5_2]) ).
fof(normalize_5_19,plain,
e0 = op(e1,op(op(e1,e1),op(e1,e1))),
inference(conjunct,[],[normalize_5_7]) ).
fof(normalize_5_20,plain,
op(e2,e2) != op(e2,e3),
inference(conjunct,[],[normalize_5_4]) ).
fof(normalize_5_21,plain,
op(e4,e2) != op(e4,e4),
inference(conjunct,[],[normalize_5_4]) ).
fof(normalize_5_22,plain,
op(e1,e3) != op(e3,e3),
inference(conjunct,[],[normalize_5_4]) ).
fof(normalize_5_23,plain,
( op(e0,e0) = e1
| op(e1,e1) = e1
| op(e2,e2) = e1
| op(e3,e3) = e1
| op(e4,e4) = e1 ),
inference(conjunct,[],[normalize_5_0]) ).
fof(normalize_5_24,plain,
e1 != e2,
inference(conjunct,[],[normalize_5_11]) ).
fof(normalize_5_25,plain,
e1 != e3,
inference(conjunct,[],[normalize_5_11]) ).
fof(normalize_5_26,plain,
e1 != e4,
inference(conjunct,[],[normalize_5_11]) ).
fof(normalize_5_27,plain,
op(e1,unit) = e1,
inference(conjunct,[],[normalize_5_2]) ).
fof(normalize_5_28,plain,
e0 != e1,
inference(conjunct,[],[normalize_5_11]) ).
cnf(refute_5_0,plain,
op(e0,e1) != op(e1,e0),
inference(canonicalize,[],[normalize_5_1]) ).
cnf(refute_5_1,plain,
op(unit,e1) = e1,
inference(canonicalize,[],[normalize_5_3]) ).
cnf(refute_5_2,plain,
op(e3,e0) != op(e3,e3),
inference(canonicalize,[],[normalize_5_5]) ).
cnf(refute_5_3,plain,
( op(e0,e0) = e0
| op(e1,e1) = e0
| op(e2,e2) = e0
| op(e3,e3) = e0
| op(e4,e4) = e0 ),
inference(canonicalize,[],[normalize_5_6]) ).
cnf(refute_5_4,plain,
e4 = op(e1,e1),
inference(canonicalize,[],[normalize_5_8]) ).
cnf(refute_5_5,plain,
X = X,
introduced(tautology,[refl,[$fot(X)]]) ).
cnf(refute_5_6,plain,
( X != X
| X != Y
| Y = X ),
introduced(tautology,[equality,[$cnf( $equal(X,X) ),[0],$fot(Y)]]) ).
cnf(refute_5_7,plain,
( X != Y
| Y = X ),
inference(resolve,[$cnf( $equal(X,X) )],[refute_5_5,refute_5_6]) ).
cnf(refute_5_8,plain,
( e4 != op(e1,e1)
| op(e1,e1) = e4 ),
inference(subst,[],[refute_5_7:[bind(X,$fot(e4)),bind(Y,$fot(op(e1,e1)))]]) ).
cnf(refute_5_9,plain,
op(e1,e1) = e4,
inference(resolve,[$cnf( $equal(e4,op(e1,e1)) )],[refute_5_4,refute_5_8]) ).
cnf(refute_5_10,plain,
( op(e1,e1) != e0
| op(e1,e1) != e4
| e4 = e0 ),
introduced(tautology,[equality,[$cnf( $equal(op(e1,e1),e0) ),[0],$fot(e4)]]) ).
cnf(refute_5_11,plain,
( op(e1,e1) != e0
| e4 = e0 ),
inference(resolve,[$cnf( $equal(op(e1,e1),e4) )],[refute_5_9,refute_5_10]) ).
cnf(refute_5_12,plain,
( e4 = e0
| op(e0,e0) = e0
| op(e2,e2) = e0
| op(e3,e3) = e0
| op(e4,e4) = e0 ),
inference(resolve,[$cnf( $equal(op(e1,e1),e0) )],[refute_5_3,refute_5_11]) ).
cnf(refute_5_13,plain,
e3 = op(op(op(e1,e1),op(e1,e1)),op(op(e1,e1),op(e1,e1))),
inference(canonicalize,[],[normalize_5_9]) ).
cnf(refute_5_14,plain,
e2 = op(op(e1,e1),op(e1,e1)),
inference(canonicalize,[],[normalize_5_10]) ).
cnf(refute_5_15,plain,
( e2 != op(op(e1,e1),op(e1,e1))
| op(op(e1,e1),op(e1,e1)) = e2 ),
inference(subst,[],[refute_5_7:[bind(X,$fot(e2)),bind(Y,$fot(op(op(e1,e1),op(e1,e1))))]]) ).
cnf(refute_5_16,plain,
op(op(e1,e1),op(e1,e1)) = e2,
inference(resolve,[$cnf( $equal(e2,op(op(e1,e1),op(e1,e1))) )],[refute_5_14,refute_5_15]) ).
cnf(refute_5_17,plain,
op(e2,op(op(e1,e1),op(e1,e1))) = op(e2,op(op(e1,e1),op(e1,e1))),
introduced(tautology,[refl,[$fot(op(e2,op(op(e1,e1),op(e1,e1))))]]) ).
cnf(refute_5_18,plain,
( op(e2,op(op(e1,e1),op(e1,e1))) != op(e2,op(op(e1,e1),op(e1,e1)))
| op(op(e1,e1),op(e1,e1)) != e2
| op(e2,op(op(e1,e1),op(e1,e1))) = op(e2,e2) ),
introduced(tautology,[equality,[$cnf( $equal(op(e2,op(op(e1,e1),op(e1,e1))),op(e2,op(op(e1,e1),op(e1,e1)))) ),[1,1],$fot(e2)]]) ).
cnf(refute_5_19,plain,
( op(op(e1,e1),op(e1,e1)) != e2
| op(e2,op(op(e1,e1),op(e1,e1))) = op(e2,e2) ),
inference(resolve,[$cnf( $equal(op(e2,op(op(e1,e1),op(e1,e1))),op(e2,op(op(e1,e1),op(e1,e1)))) )],[refute_5_17,refute_5_18]) ).
cnf(refute_5_20,plain,
op(e2,op(op(e1,e1),op(e1,e1))) = op(e2,e2),
inference(resolve,[$cnf( $equal(op(op(e1,e1),op(e1,e1)),e2) )],[refute_5_16,refute_5_19]) ).
cnf(refute_5_21,plain,
op(op(op(e1,e1),op(e1,e1)),op(op(e1,e1),op(e1,e1))) = op(op(op(e1,e1),op(e1,e1)),op(op(e1,e1),op(e1,e1))),
introduced(tautology,[refl,[$fot(op(op(op(e1,e1),op(e1,e1)),op(op(e1,e1),op(e1,e1))))]]) ).
cnf(refute_5_22,plain,
( op(op(e1,e1),op(e1,e1)) != e2
| op(op(op(e1,e1),op(e1,e1)),op(op(e1,e1),op(e1,e1))) != op(op(op(e1,e1),op(e1,e1)),op(op(e1,e1),op(e1,e1)))
| op(op(op(e1,e1),op(e1,e1)),op(op(e1,e1),op(e1,e1))) = op(e2,op(op(e1,e1),op(e1,e1))) ),
introduced(tautology,[equality,[$cnf( $equal(op(op(op(e1,e1),op(e1,e1)),op(op(e1,e1),op(e1,e1))),op(op(op(e1,e1),op(e1,e1)),op(op(e1,e1),op(e1,e1)))) ),[1,0],$fot(e2)]]) ).
cnf(refute_5_23,plain,
( op(op(e1,e1),op(e1,e1)) != e2
| op(op(op(e1,e1),op(e1,e1)),op(op(e1,e1),op(e1,e1))) = op(e2,op(op(e1,e1),op(e1,e1))) ),
inference(resolve,[$cnf( $equal(op(op(op(e1,e1),op(e1,e1)),op(op(e1,e1),op(e1,e1))),op(op(op(e1,e1),op(e1,e1)),op(op(e1,e1),op(e1,e1)))) )],[refute_5_21,refute_5_22]) ).
cnf(refute_5_24,plain,
op(op(op(e1,e1),op(e1,e1)),op(op(e1,e1),op(e1,e1))) = op(e2,op(op(e1,e1),op(e1,e1))),
inference(resolve,[$cnf( $equal(op(op(e1,e1),op(e1,e1)),e2) )],[refute_5_16,refute_5_23]) ).
cnf(refute_5_25,plain,
( Y != X
| Y != Z
| X = Z ),
introduced(tautology,[equality,[$cnf( $equal(Y,Z) ),[0],$fot(X)]]) ).
cnf(refute_5_26,plain,
( X != Y
| Y != Z
| X = Z ),
inference(resolve,[$cnf( $equal(Y,X) )],[refute_5_7,refute_5_25]) ).
cnf(refute_5_27,plain,
( op(e2,op(op(e1,e1),op(e1,e1))) != op(e2,e2)
| op(op(op(e1,e1),op(e1,e1)),op(op(e1,e1),op(e1,e1))) != op(e2,op(op(e1,e1),op(e1,e1)))
| op(op(op(e1,e1),op(e1,e1)),op(op(e1,e1),op(e1,e1))) = op(e2,e2) ),
inference(subst,[],[refute_5_26:[bind(X,$fot(op(op(op(e1,e1),op(e1,e1)),op(op(e1,e1),op(e1,e1))))),bind(Y,$fot(op(e2,op(op(e1,e1),op(e1,e1))))),bind(Z,$fot(op(e2,e2)))]]) ).
cnf(refute_5_28,plain,
( op(e2,op(op(e1,e1),op(e1,e1))) != op(e2,e2)
| op(op(op(e1,e1),op(e1,e1)),op(op(e1,e1),op(e1,e1))) = op(e2,e2) ),
inference(resolve,[$cnf( $equal(op(op(op(e1,e1),op(e1,e1)),op(op(e1,e1),op(e1,e1))),op(e2,op(op(e1,e1),op(e1,e1)))) )],[refute_5_24,refute_5_27]) ).
cnf(refute_5_29,plain,
op(op(op(e1,e1),op(e1,e1)),op(op(e1,e1),op(e1,e1))) = op(e2,e2),
inference(resolve,[$cnf( $equal(op(e2,op(op(e1,e1),op(e1,e1))),op(e2,e2)) )],[refute_5_20,refute_5_28]) ).
cnf(refute_5_30,plain,
( e3 != op(op(op(e1,e1),op(e1,e1)),op(op(e1,e1),op(e1,e1)))
| op(op(op(e1,e1),op(e1,e1)),op(op(e1,e1),op(e1,e1))) != op(e2,e2)
| e3 = op(e2,e2) ),
introduced(tautology,[equality,[$cnf( ~ $equal(e3,op(e2,e2)) ),[0],$fot(op(op(op(e1,e1),op(e1,e1)),op(op(e1,e1),op(e1,e1))))]]) ).
cnf(refute_5_31,plain,
( e3 != op(op(op(e1,e1),op(e1,e1)),op(op(e1,e1),op(e1,e1)))
| e3 = op(e2,e2) ),
inference(resolve,[$cnf( $equal(op(op(op(e1,e1),op(e1,e1)),op(op(e1,e1),op(e1,e1))),op(e2,e2)) )],[refute_5_29,refute_5_30]) ).
cnf(refute_5_32,plain,
e3 = op(e2,e2),
inference(resolve,[$cnf( $equal(e3,op(op(op(e1,e1),op(e1,e1)),op(op(e1,e1),op(e1,e1)))) )],[refute_5_13,refute_5_31]) ).
cnf(refute_5_33,plain,
( e3 != op(e2,e2)
| op(e2,e2) = e3 ),
inference(subst,[],[refute_5_7:[bind(X,$fot(e3)),bind(Y,$fot(op(e2,e2)))]]) ).
cnf(refute_5_34,plain,
op(e2,e2) = e3,
inference(resolve,[$cnf( $equal(e3,op(e2,e2)) )],[refute_5_32,refute_5_33]) ).
cnf(refute_5_35,plain,
( op(e2,e2) != e0
| op(e2,e2) != e3
| e3 = e0 ),
introduced(tautology,[equality,[$cnf( $equal(op(e2,e2),e0) ),[0],$fot(e3)]]) ).
cnf(refute_5_36,plain,
( op(e2,e2) != e0
| e3 = e0 ),
inference(resolve,[$cnf( $equal(op(e2,e2),e3) )],[refute_5_34,refute_5_35]) ).
cnf(refute_5_37,plain,
( e3 = e0
| e4 = e0
| op(e0,e0) = e0
| op(e3,e3) = e0
| op(e4,e4) = e0 ),
inference(resolve,[$cnf( $equal(op(e2,e2),e0) )],[refute_5_12,refute_5_36]) ).
cnf(refute_5_38,plain,
op(e4,op(e1,e1)) = op(e4,op(e1,e1)),
introduced(tautology,[refl,[$fot(op(e4,op(e1,e1)))]]) ).
cnf(refute_5_39,plain,
( op(e1,e1) != e4
| op(e4,op(e1,e1)) != op(e4,op(e1,e1))
| op(e4,op(e1,e1)) = op(e4,e4) ),
introduced(tautology,[equality,[$cnf( $equal(op(e4,op(e1,e1)),op(e4,op(e1,e1))) ),[1,1],$fot(e4)]]) ).
cnf(refute_5_40,plain,
( op(e1,e1) != e4
| op(e4,op(e1,e1)) = op(e4,e4) ),
inference(resolve,[$cnf( $equal(op(e4,op(e1,e1)),op(e4,op(e1,e1))) )],[refute_5_38,refute_5_39]) ).
cnf(refute_5_41,plain,
op(e4,op(e1,e1)) = op(e4,e4),
inference(resolve,[$cnf( $equal(op(e1,e1),e4) )],[refute_5_9,refute_5_40]) ).
cnf(refute_5_42,plain,
op(op(e1,e1),op(e1,e1)) = op(op(e1,e1),op(e1,e1)),
introduced(tautology,[refl,[$fot(op(op(e1,e1),op(e1,e1)))]]) ).
cnf(refute_5_43,plain,
( op(e1,e1) != e4
| op(op(e1,e1),op(e1,e1)) != op(op(e1,e1),op(e1,e1))
| op(op(e1,e1),op(e1,e1)) = op(e4,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(e4)]]) ).
cnf(refute_5_44,plain,
( op(e1,e1) != e4
| op(op(e1,e1),op(e1,e1)) = op(e4,op(e1,e1)) ),
inference(resolve,[$cnf( $equal(op(op(e1,e1),op(e1,e1)),op(op(e1,e1),op(e1,e1))) )],[refute_5_42,refute_5_43]) ).
cnf(refute_5_45,plain,
op(op(e1,e1),op(e1,e1)) = op(e4,op(e1,e1)),
inference(resolve,[$cnf( $equal(op(e1,e1),e4) )],[refute_5_9,refute_5_44]) ).
cnf(refute_5_46,plain,
( op(e4,op(e1,e1)) != op(e4,e4)
| op(op(e1,e1),op(e1,e1)) != op(e4,op(e1,e1))
| op(op(e1,e1),op(e1,e1)) = op(e4,e4) ),
inference(subst,[],[refute_5_26:[bind(X,$fot(op(op(e1,e1),op(e1,e1)))),bind(Y,$fot(op(e4,op(e1,e1)))),bind(Z,$fot(op(e4,e4)))]]) ).
cnf(refute_5_47,plain,
( op(e4,op(e1,e1)) != op(e4,e4)
| op(op(e1,e1),op(e1,e1)) = op(e4,e4) ),
inference(resolve,[$cnf( $equal(op(op(e1,e1),op(e1,e1)),op(e4,op(e1,e1))) )],[refute_5_45,refute_5_46]) ).
cnf(refute_5_48,plain,
op(op(e1,e1),op(e1,e1)) = op(e4,e4),
inference(resolve,[$cnf( $equal(op(e4,op(e1,e1)),op(e4,e4)) )],[refute_5_41,refute_5_47]) ).
cnf(refute_5_49,plain,
( e2 != op(op(e1,e1),op(e1,e1))
| op(op(e1,e1),op(e1,e1)) != op(e4,e4)
| e2 = op(e4,e4) ),
introduced(tautology,[equality,[$cnf( ~ $equal(e2,op(e4,e4)) ),[0],$fot(op(op(e1,e1),op(e1,e1)))]]) ).
cnf(refute_5_50,plain,
( e2 != op(op(e1,e1),op(e1,e1))
| e2 = op(e4,e4) ),
inference(resolve,[$cnf( $equal(op(op(e1,e1),op(e1,e1)),op(e4,e4)) )],[refute_5_48,refute_5_49]) ).
cnf(refute_5_51,plain,
e2 = op(e4,e4),
inference(resolve,[$cnf( $equal(e2,op(op(e1,e1),op(e1,e1))) )],[refute_5_14,refute_5_50]) ).
cnf(refute_5_52,plain,
( e2 != op(e4,e4)
| op(e4,e4) = e2 ),
inference(subst,[],[refute_5_7:[bind(X,$fot(e2)),bind(Y,$fot(op(e4,e4)))]]) ).
cnf(refute_5_53,plain,
op(e4,e4) = e2,
inference(resolve,[$cnf( $equal(e2,op(e4,e4)) )],[refute_5_51,refute_5_52]) ).
cnf(refute_5_54,plain,
( op(e4,e4) != e0
| op(e4,e4) != e2
| e2 = e0 ),
introduced(tautology,[equality,[$cnf( $equal(op(e4,e4),e0) ),[0],$fot(e2)]]) ).
cnf(refute_5_55,plain,
( op(e4,e4) != e0
| e2 = e0 ),
inference(resolve,[$cnf( $equal(op(e4,e4),e2) )],[refute_5_53,refute_5_54]) ).
cnf(refute_5_56,plain,
( e2 = e0
| e3 = e0
| e4 = e0
| op(e0,e0) = e0
| op(e3,e3) = e0 ),
inference(resolve,[$cnf( $equal(op(e4,e4),e0) )],[refute_5_37,refute_5_55]) ).
cnf(refute_5_57,plain,
e0 != e2,
inference(canonicalize,[],[normalize_5_12]) ).
cnf(refute_5_58,plain,
( e2 != e0
| e0 = e2 ),
inference(subst,[],[refute_5_7:[bind(X,$fot(e2)),bind(Y,$fot(e0))]]) ).
cnf(refute_5_59,plain,
e2 != e0,
inference(resolve,[$cnf( $equal(e0,e2) )],[refute_5_58,refute_5_57]) ).
cnf(refute_5_60,plain,
( e3 = e0
| e4 = e0
| op(e0,e0) = e0
| op(e3,e3) = e0 ),
inference(resolve,[$cnf( $equal(e2,e0) )],[refute_5_56,refute_5_59]) ).
cnf(refute_5_61,plain,
e0 != e3,
inference(canonicalize,[],[normalize_5_13]) ).
cnf(refute_5_62,plain,
( e3 != e0
| e0 = e3 ),
inference(subst,[],[refute_5_7:[bind(X,$fot(e3)),bind(Y,$fot(e0))]]) ).
cnf(refute_5_63,plain,
e3 != e0,
inference(resolve,[$cnf( $equal(e0,e3) )],[refute_5_62,refute_5_61]) ).
cnf(refute_5_64,plain,
( e4 = e0
| op(e0,e0) = e0
| op(e3,e3) = e0 ),
inference(resolve,[$cnf( $equal(e3,e0) )],[refute_5_60,refute_5_63]) ).
cnf(refute_5_65,plain,
e0 != e4,
inference(canonicalize,[],[normalize_5_14]) ).
cnf(refute_5_66,plain,
( e4 != e0
| e0 = e4 ),
inference(subst,[],[refute_5_7:[bind(X,$fot(e4)),bind(Y,$fot(e0))]]) ).
cnf(refute_5_67,plain,
e4 != e0,
inference(resolve,[$cnf( $equal(e0,e4) )],[refute_5_66,refute_5_65]) ).
cnf(refute_5_68,plain,
( op(e0,e0) = e0
| op(e3,e3) = e0 ),
inference(resolve,[$cnf( $equal(e4,e0) )],[refute_5_64,refute_5_67]) ).
cnf(refute_5_69,plain,
( op(e3,e0) != e0
| op(e3,e3) != e0
| op(e3,e0) = op(e3,e3) ),
introduced(tautology,[equality,[$cnf( ~ $equal(op(e3,e0),op(e3,e3)) ),[1],$fot(e0)]]) ).
cnf(refute_5_70,plain,
( op(e3,e0) != e0
| op(e0,e0) = e0
| op(e3,e0) = op(e3,e3) ),
inference(resolve,[$cnf( $equal(op(e3,e3),e0) )],[refute_5_68,refute_5_69]) ).
cnf(refute_5_71,plain,
( op(e3,e0) != e0
| op(e0,e0) = e0 ),
inference(resolve,[$cnf( $equal(op(e3,e0),op(e3,e3)) )],[refute_5_70,refute_5_2]) ).
cnf(refute_5_72,plain,
op(unit,e0) = e0,
inference(canonicalize,[],[normalize_5_15]) ).
cnf(refute_5_73,plain,
op(unit,e2) = e2,
inference(canonicalize,[],[normalize_5_16]) ).
cnf(refute_5_74,plain,
op(unit,e3) = e3,
inference(canonicalize,[],[normalize_5_17]) ).
cnf(refute_5_75,plain,
( unit = e0
| unit = e1
| unit = e2
| unit = e3
| unit = e4 ),
inference(canonicalize,[],[normalize_5_18]) ).
cnf(refute_5_76,plain,
( op(unit,e2) != e2
| unit != e1
| op(e1,e2) = e2 ),
introduced(tautology,[equality,[$cnf( $equal(op(unit,e2),e2) ),[0,0],$fot(e1)]]) ).
cnf(refute_5_77,plain,
( op(unit,e2) != e2
| op(e1,e2) = e2
| unit = e0
| unit = e2
| unit = e3
| unit = e4 ),
inference(resolve,[$cnf( $equal(unit,e1) )],[refute_5_75,refute_5_76]) ).
cnf(refute_5_78,plain,
( op(e1,e2) = e2
| unit = e0
| unit = e2
| unit = e3
| unit = e4 ),
inference(resolve,[$cnf( $equal(op(unit,e2),e2) )],[refute_5_73,refute_5_77]) ).
cnf(refute_5_79,plain,
e0 = op(e1,op(op(e1,e1),op(e1,e1))),
inference(canonicalize,[],[normalize_5_19]) ).
cnf(refute_5_80,plain,
op(e1,op(op(e1,e1),op(e1,e1))) = op(e1,op(op(e1,e1),op(e1,e1))),
introduced(tautology,[refl,[$fot(op(e1,op(op(e1,e1),op(e1,e1))))]]) ).
cnf(refute_5_81,plain,
( op(e1,op(op(e1,e1),op(e1,e1))) != op(e1,op(op(e1,e1),op(e1,e1)))
| op(op(e1,e1),op(e1,e1)) != e2
| op(e1,op(op(e1,e1),op(e1,e1))) = op(e1,e2) ),
introduced(tautology,[equality,[$cnf( $equal(op(e1,op(op(e1,e1),op(e1,e1))),op(e1,op(op(e1,e1),op(e1,e1)))) ),[1,1],$fot(e2)]]) ).
cnf(refute_5_82,plain,
( op(op(e1,e1),op(e1,e1)) != e2
| op(e1,op(op(e1,e1),op(e1,e1))) = op(e1,e2) ),
inference(resolve,[$cnf( $equal(op(e1,op(op(e1,e1),op(e1,e1))),op(e1,op(op(e1,e1),op(e1,e1)))) )],[refute_5_80,refute_5_81]) ).
cnf(refute_5_83,plain,
op(e1,op(op(e1,e1),op(e1,e1))) = op(e1,e2),
inference(resolve,[$cnf( $equal(op(op(e1,e1),op(e1,e1)),e2) )],[refute_5_16,refute_5_82]) ).
cnf(refute_5_84,plain,
( e0 != op(e1,op(op(e1,e1),op(e1,e1)))
| op(e1,op(op(e1,e1),op(e1,e1))) != op(e1,e2)
| e0 = op(e1,e2) ),
introduced(tautology,[equality,[$cnf( ~ $equal(e0,op(e1,e2)) ),[0],$fot(op(e1,op(op(e1,e1),op(e1,e1))))]]) ).
cnf(refute_5_85,plain,
( e0 != op(e1,op(op(e1,e1),op(e1,e1)))
| e0 = op(e1,e2) ),
inference(resolve,[$cnf( $equal(op(e1,op(op(e1,e1),op(e1,e1))),op(e1,e2)) )],[refute_5_83,refute_5_84]) ).
cnf(refute_5_86,plain,
e0 = op(e1,e2),
inference(resolve,[$cnf( $equal(e0,op(e1,op(op(e1,e1),op(e1,e1)))) )],[refute_5_79,refute_5_85]) ).
cnf(refute_5_87,plain,
( e0 != op(e1,e2)
| op(e1,e2) = e0 ),
inference(subst,[],[refute_5_7:[bind(X,$fot(e0)),bind(Y,$fot(op(e1,e2)))]]) ).
cnf(refute_5_88,plain,
op(e1,e2) = e0,
inference(resolve,[$cnf( $equal(e0,op(e1,e2)) )],[refute_5_86,refute_5_87]) ).
cnf(refute_5_89,plain,
( op(e1,e2) != e0
| op(e1,e2) != e2
| e0 = e2 ),
introduced(tautology,[equality,[$cnf( $equal(op(e1,e2),e2) ),[0],$fot(e0)]]) ).
cnf(refute_5_90,plain,
( op(e1,e2) != e2
| e0 = e2 ),
inference(resolve,[$cnf( $equal(op(e1,e2),e0) )],[refute_5_88,refute_5_89]) ).
cnf(refute_5_91,plain,
( e0 = e2
| unit = e0
| unit = e2
| unit = e3
| unit = e4 ),
inference(resolve,[$cnf( $equal(op(e1,e2),e2) )],[refute_5_78,refute_5_90]) ).
cnf(refute_5_92,plain,
( unit = e0
| unit = e2
| unit = e3
| unit = e4 ),
inference(resolve,[$cnf( $equal(e0,e2) )],[refute_5_91,refute_5_57]) ).
cnf(refute_5_93,plain,
( op(unit,e3) != e3
| unit != e2
| op(e2,e3) = e3 ),
introduced(tautology,[equality,[$cnf( $equal(op(unit,e3),e3) ),[0,0],$fot(e2)]]) ).
cnf(refute_5_94,plain,
( op(unit,e3) != e3
| op(e2,e3) = e3
| unit = e0
| unit = e3
| unit = e4 ),
inference(resolve,[$cnf( $equal(unit,e2) )],[refute_5_92,refute_5_93]) ).
cnf(refute_5_95,plain,
( op(e2,e3) = e3
| unit = e0
| unit = e3
| unit = e4 ),
inference(resolve,[$cnf( $equal(op(unit,e3),e3) )],[refute_5_74,refute_5_94]) ).
cnf(refute_5_96,plain,
op(e2,e2) != op(e2,e3),
inference(canonicalize,[],[normalize_5_20]) ).
cnf(refute_5_97,plain,
( e3 != op(e2,e3)
| op(e2,e2) != e3
| op(e2,e2) = op(e2,e3) ),
introduced(tautology,[equality,[$cnf( $equal(op(e2,e2),e3) ),[1],$fot(op(e2,e3))]]) ).
cnf(refute_5_98,plain,
( e3 != op(e2,e3)
| op(e2,e2) = op(e2,e3) ),
inference(resolve,[$cnf( $equal(op(e2,e2),e3) )],[refute_5_34,refute_5_97]) ).
cnf(refute_5_99,plain,
e3 != op(e2,e3),
inference(resolve,[$cnf( $equal(op(e2,e2),op(e2,e3)) )],[refute_5_98,refute_5_96]) ).
cnf(refute_5_100,plain,
( op(e2,e3) != e3
| e3 = op(e2,e3) ),
inference(subst,[],[refute_5_7:[bind(X,$fot(op(e2,e3))),bind(Y,$fot(e3))]]) ).
cnf(refute_5_101,plain,
op(e2,e3) != e3,
inference(resolve,[$cnf( $equal(e3,op(e2,e3)) )],[refute_5_100,refute_5_99]) ).
cnf(refute_5_102,plain,
( unit = e0
| unit = e3
| unit = e4 ),
inference(resolve,[$cnf( $equal(op(e2,e3),e3) )],[refute_5_95,refute_5_101]) ).
cnf(refute_5_103,plain,
( op(unit,e2) != e2
| unit != e4
| op(e4,e2) = e2 ),
introduced(tautology,[equality,[$cnf( $equal(op(unit,e2),e2) ),[0,0],$fot(e4)]]) ).
cnf(refute_5_104,plain,
( op(unit,e2) != e2
| op(e4,e2) = e2
| unit = e0
| unit = e3 ),
inference(resolve,[$cnf( $equal(unit,e4) )],[refute_5_102,refute_5_103]) ).
cnf(refute_5_105,plain,
( op(e4,e2) = e2
| unit = e0
| unit = e3 ),
inference(resolve,[$cnf( $equal(op(unit,e2),e2) )],[refute_5_73,refute_5_104]) ).
cnf(refute_5_106,plain,
op(e4,e2) != op(e4,e4),
inference(canonicalize,[],[normalize_5_21]) ).
cnf(refute_5_107,plain,
( op(e4,e2) != e2
| op(e4,e4) != e2
| op(e4,e2) = op(e4,e4) ),
introduced(tautology,[equality,[$cnf( ~ $equal(op(e4,e2),op(e4,e4)) ),[1],$fot(e2)]]) ).
cnf(refute_5_108,plain,
( op(e4,e2) != e2
| op(e4,e2) = op(e4,e4) ),
inference(resolve,[$cnf( $equal(op(e4,e4),e2) )],[refute_5_53,refute_5_107]) ).
cnf(refute_5_109,plain,
op(e4,e2) != e2,
inference(resolve,[$cnf( $equal(op(e4,e2),op(e4,e4)) )],[refute_5_108,refute_5_106]) ).
cnf(refute_5_110,plain,
( unit = e0
| unit = e3 ),
inference(resolve,[$cnf( $equal(op(e4,e2),e2) )],[refute_5_105,refute_5_109]) ).
cnf(refute_5_111,plain,
( op(unit,e0) != e0
| unit != e3
| op(e3,e0) = e0 ),
introduced(tautology,[equality,[$cnf( $equal(op(unit,e0),e0) ),[0,0],$fot(e3)]]) ).
cnf(refute_5_112,plain,
( op(unit,e0) != e0
| op(e3,e0) = e0
| unit = e0 ),
inference(resolve,[$cnf( $equal(unit,e3) )],[refute_5_110,refute_5_111]) ).
cnf(refute_5_113,plain,
( op(e3,e0) = e0
| unit = e0 ),
inference(resolve,[$cnf( $equal(op(unit,e0),e0) )],[refute_5_72,refute_5_112]) ).
cnf(refute_5_114,plain,
( e0 != e0
| op(e3,e0) != e0
| op(e3,e0) = e0 ),
introduced(tautology,[equality,[$cnf( $equal(op(e3,e0),e0) ),[0,1],$fot(e0)]]) ).
cnf(refute_5_115,plain,
( e0 != e0
| op(e3,e0) = e0
| unit = e0 ),
inference(resolve,[$cnf( $equal(op(e3,e0),e0) )],[refute_5_113,refute_5_114]) ).
cnf(refute_5_116,plain,
( e0 != e0
| op(e0,e0) = e0
| unit = e0 ),
inference(resolve,[$cnf( $equal(op(e3,e0),e0) )],[refute_5_115,refute_5_71]) ).
cnf(refute_5_117,plain,
e0 = e0,
introduced(tautology,[refl,[$fot(e0)]]) ).
cnf(refute_5_118,plain,
( op(e0,e0) = e0
| unit = e0 ),
inference(resolve,[$cnf( $equal(e0,e0) )],[refute_5_117,refute_5_116]) ).
cnf(refute_5_119,plain,
op(e1,e3) != op(e3,e3),
inference(canonicalize,[],[normalize_5_22]) ).
cnf(refute_5_120,plain,
( op(e0,e0) = e1
| op(e1,e1) = e1
| op(e2,e2) = e1
| op(e3,e3) = e1
| op(e4,e4) = e1 ),
inference(canonicalize,[],[normalize_5_23]) ).
cnf(refute_5_121,plain,
( op(e1,e1) != e1
| op(e1,e1) != e4
| e4 = e1 ),
introduced(tautology,[equality,[$cnf( $equal(op(e1,e1),e1) ),[0],$fot(e4)]]) ).
cnf(refute_5_122,plain,
( op(e1,e1) != e1
| e4 = e1 ),
inference(resolve,[$cnf( $equal(op(e1,e1),e4) )],[refute_5_9,refute_5_121]) ).
cnf(refute_5_123,plain,
( e4 = e1
| op(e0,e0) = e1
| op(e2,e2) = e1
| op(e3,e3) = e1
| op(e4,e4) = e1 ),
inference(resolve,[$cnf( $equal(op(e1,e1),e1) )],[refute_5_120,refute_5_122]) ).
cnf(refute_5_124,plain,
( op(e2,e2) != e1
| op(e2,e2) != e3
| e3 = e1 ),
introduced(tautology,[equality,[$cnf( $equal(op(e2,e2),e1) ),[0],$fot(e3)]]) ).
cnf(refute_5_125,plain,
( op(e2,e2) != e1
| e3 = e1 ),
inference(resolve,[$cnf( $equal(op(e2,e2),e3) )],[refute_5_34,refute_5_124]) ).
cnf(refute_5_126,plain,
( e3 = e1
| e4 = e1
| op(e0,e0) = e1
| op(e3,e3) = e1
| op(e4,e4) = e1 ),
inference(resolve,[$cnf( $equal(op(e2,e2),e1) )],[refute_5_123,refute_5_125]) ).
cnf(refute_5_127,plain,
( op(e4,e4) != e1
| op(e4,e4) != e2
| e2 = e1 ),
introduced(tautology,[equality,[$cnf( $equal(op(e4,e4),e1) ),[0],$fot(e2)]]) ).
cnf(refute_5_128,plain,
( op(e4,e4) != e1
| e2 = e1 ),
inference(resolve,[$cnf( $equal(op(e4,e4),e2) )],[refute_5_53,refute_5_127]) ).
cnf(refute_5_129,plain,
( e2 = e1
| e3 = e1
| e4 = e1
| op(e0,e0) = e1
| op(e3,e3) = e1 ),
inference(resolve,[$cnf( $equal(op(e4,e4),e1) )],[refute_5_126,refute_5_128]) ).
cnf(refute_5_130,plain,
e1 != e2,
inference(canonicalize,[],[normalize_5_24]) ).
cnf(refute_5_131,plain,
( e2 != e1
| e1 = e2 ),
inference(subst,[],[refute_5_7:[bind(X,$fot(e2)),bind(Y,$fot(e1))]]) ).
cnf(refute_5_132,plain,
e2 != e1,
inference(resolve,[$cnf( $equal(e1,e2) )],[refute_5_131,refute_5_130]) ).
cnf(refute_5_133,plain,
( e3 = e1
| e4 = e1
| op(e0,e0) = e1
| op(e3,e3) = e1 ),
inference(resolve,[$cnf( $equal(e2,e1) )],[refute_5_129,refute_5_132]) ).
cnf(refute_5_134,plain,
e1 != e3,
inference(canonicalize,[],[normalize_5_25]) ).
cnf(refute_5_135,plain,
( e3 != e1
| e1 = e3 ),
inference(subst,[],[refute_5_7:[bind(X,$fot(e3)),bind(Y,$fot(e1))]]) ).
cnf(refute_5_136,plain,
e3 != e1,
inference(resolve,[$cnf( $equal(e1,e3) )],[refute_5_135,refute_5_134]) ).
cnf(refute_5_137,plain,
( e4 = e1
| op(e0,e0) = e1
| op(e3,e3) = e1 ),
inference(resolve,[$cnf( $equal(e3,e1) )],[refute_5_133,refute_5_136]) ).
cnf(refute_5_138,plain,
e1 != e4,
inference(canonicalize,[],[normalize_5_26]) ).
cnf(refute_5_139,plain,
( e4 != e1
| e1 = e4 ),
inference(subst,[],[refute_5_7:[bind(X,$fot(e4)),bind(Y,$fot(e1))]]) ).
cnf(refute_5_140,plain,
e4 != e1,
inference(resolve,[$cnf( $equal(e1,e4) )],[refute_5_139,refute_5_138]) ).
cnf(refute_5_141,plain,
( op(e0,e0) = e1
| op(e3,e3) = e1 ),
inference(resolve,[$cnf( $equal(e4,e1) )],[refute_5_137,refute_5_140]) ).
cnf(refute_5_142,plain,
( op(e1,e3) != e1
| op(e3,e3) != e1
| op(e1,e3) = op(e3,e3) ),
introduced(tautology,[equality,[$cnf( ~ $equal(op(e1,e3),op(e3,e3)) ),[1],$fot(e1)]]) ).
cnf(refute_5_143,plain,
( op(e1,e3) != e1
| op(e0,e0) = e1
| op(e1,e3) = op(e3,e3) ),
inference(resolve,[$cnf( $equal(op(e3,e3),e1) )],[refute_5_141,refute_5_142]) ).
cnf(refute_5_144,plain,
( op(e1,e3) != e1
| op(e0,e0) = e1 ),
inference(resolve,[$cnf( $equal(op(e1,e3),op(e3,e3)) )],[refute_5_143,refute_5_119]) ).
cnf(refute_5_145,plain,
op(e1,unit) = e1,
inference(canonicalize,[],[normalize_5_27]) ).
cnf(refute_5_146,plain,
( op(e1,unit) != e1
| unit != e3
| op(e1,e3) = e1 ),
introduced(tautology,[equality,[$cnf( $equal(op(e1,unit),e1) ),[0,1],$fot(e3)]]) ).
cnf(refute_5_147,plain,
( op(e1,unit) != e1
| op(e1,e3) = e1
| unit = e0 ),
inference(resolve,[$cnf( $equal(unit,e3) )],[refute_5_110,refute_5_146]) ).
cnf(refute_5_148,plain,
( op(e1,e3) = e1
| unit = e0 ),
inference(resolve,[$cnf( $equal(op(e1,unit),e1) )],[refute_5_145,refute_5_147]) ).
cnf(refute_5_149,plain,
( e1 != e1
| op(e1,e3) != e1
| op(e1,e3) = e1 ),
introduced(tautology,[equality,[$cnf( $equal(op(e1,e3),e1) ),[0,0],$fot(e1)]]) ).
cnf(refute_5_150,plain,
( e1 != e1
| op(e1,e3) = e1
| unit = e0 ),
inference(resolve,[$cnf( $equal(op(e1,e3),e1) )],[refute_5_148,refute_5_149]) ).
cnf(refute_5_151,plain,
( e1 != e1
| op(e0,e0) = e1
| unit = e0 ),
inference(resolve,[$cnf( $equal(op(e1,e3),e1) )],[refute_5_150,refute_5_144]) ).
cnf(refute_5_152,plain,
e1 = e1,
introduced(tautology,[refl,[$fot(e1)]]) ).
cnf(refute_5_153,plain,
( op(e0,e0) = e1
| unit = e0 ),
inference(resolve,[$cnf( $equal(e1,e1) )],[refute_5_152,refute_5_151]) ).
cnf(refute_5_154,plain,
( op(e0,e0) != e0
| op(e0,e0) != e1
| e1 = e0 ),
introduced(tautology,[equality,[$cnf( $equal(op(e0,e0),e0) ),[0],$fot(e1)]]) ).
cnf(refute_5_155,plain,
( op(e0,e0) != e0
| e1 = e0
| unit = e0 ),
inference(resolve,[$cnf( $equal(op(e0,e0),e1) )],[refute_5_153,refute_5_154]) ).
cnf(refute_5_156,plain,
( e1 = e0
| unit = e0 ),
inference(resolve,[$cnf( $equal(op(e0,e0),e0) )],[refute_5_118,refute_5_155]) ).
cnf(refute_5_157,plain,
e0 != e1,
inference(canonicalize,[],[normalize_5_28]) ).
cnf(refute_5_158,plain,
( e1 != e0
| e0 = e1 ),
inference(subst,[],[refute_5_7:[bind(X,$fot(e1)),bind(Y,$fot(e0))]]) ).
cnf(refute_5_159,plain,
e1 != e0,
inference(resolve,[$cnf( $equal(e0,e1) )],[refute_5_158,refute_5_157]) ).
cnf(refute_5_160,plain,
unit = e0,
inference(resolve,[$cnf( $equal(e1,e0) )],[refute_5_156,refute_5_159]) ).
cnf(refute_5_161,plain,
op(unit,e1) = op(unit,e1),
introduced(tautology,[refl,[$fot(op(unit,e1))]]) ).
cnf(refute_5_162,plain,
( op(unit,e1) != op(unit,e1)
| unit != e0
| op(unit,e1) = op(e0,e1) ),
introduced(tautology,[equality,[$cnf( $equal(op(unit,e1),op(unit,e1)) ),[1,0],$fot(e0)]]) ).
cnf(refute_5_163,plain,
( unit != e0
| op(unit,e1) = op(e0,e1) ),
inference(resolve,[$cnf( $equal(op(unit,e1),op(unit,e1)) )],[refute_5_161,refute_5_162]) ).
cnf(refute_5_164,plain,
op(unit,e1) = op(e0,e1),
inference(resolve,[$cnf( $equal(unit,e0) )],[refute_5_160,refute_5_163]) ).
cnf(refute_5_165,plain,
( op(unit,e1) != e1
| op(unit,e1) != op(e0,e1)
| op(e0,e1) = e1 ),
introduced(tautology,[equality,[$cnf( $equal(op(unit,e1),e1) ),[0],$fot(op(e0,e1))]]) ).
cnf(refute_5_166,plain,
( op(unit,e1) != e1
| op(e0,e1) = e1 ),
inference(resolve,[$cnf( $equal(op(unit,e1),op(e0,e1)) )],[refute_5_164,refute_5_165]) ).
cnf(refute_5_167,plain,
op(e0,e1) = e1,
inference(resolve,[$cnf( $equal(op(unit,e1),e1) )],[refute_5_1,refute_5_166]) ).
cnf(refute_5_168,plain,
( e1 != op(e1,e0)
| op(e0,e1) != e1
| op(e0,e1) = op(e1,e0) ),
introduced(tautology,[equality,[$cnf( $equal(op(e0,e1),e1) ),[1],$fot(op(e1,e0))]]) ).
cnf(refute_5_169,plain,
( e1 != op(e1,e0)
| op(e0,e1) = op(e1,e0) ),
inference(resolve,[$cnf( $equal(op(e0,e1),e1) )],[refute_5_167,refute_5_168]) ).
cnf(refute_5_170,plain,
op(e1,unit) = op(e1,unit),
introduced(tautology,[refl,[$fot(op(e1,unit))]]) ).
cnf(refute_5_171,plain,
( op(e1,unit) != op(e1,unit)
| unit != e0
| op(e1,unit) = op(e1,e0) ),
introduced(tautology,[equality,[$cnf( $equal(op(e1,unit),op(e1,unit)) ),[1,1],$fot(e0)]]) ).
cnf(refute_5_172,plain,
( unit != e0
| op(e1,unit) = op(e1,e0) ),
inference(resolve,[$cnf( $equal(op(e1,unit),op(e1,unit)) )],[refute_5_170,refute_5_171]) ).
cnf(refute_5_173,plain,
op(e1,unit) = op(e1,e0),
inference(resolve,[$cnf( $equal(unit,e0) )],[refute_5_160,refute_5_172]) ).
cnf(refute_5_174,plain,
( op(e1,unit) != e1
| op(e1,unit) != op(e1,e0)
| op(e1,e0) = e1 ),
introduced(tautology,[equality,[$cnf( $equal(op(e1,unit),e1) ),[0],$fot(op(e1,e0))]]) ).
cnf(refute_5_175,plain,
( op(e1,unit) != e1
| op(e1,e0) = e1 ),
inference(resolve,[$cnf( $equal(op(e1,unit),op(e1,e0)) )],[refute_5_173,refute_5_174]) ).
cnf(refute_5_176,plain,
op(e1,e0) = e1,
inference(resolve,[$cnf( $equal(op(e1,unit),e1) )],[refute_5_145,refute_5_175]) ).
cnf(refute_5_177,plain,
( e1 != e1
| op(e1,e0) != e1
| e1 = op(e1,e0) ),
introduced(tautology,[equality,[$cnf( ~ $equal(e1,op(e1,e0)) ),[1],$fot(e1)]]) ).
cnf(refute_5_178,plain,
( e1 != e1
| e1 = op(e1,e0) ),
inference(resolve,[$cnf( $equal(op(e1,e0),e1) )],[refute_5_176,refute_5_177]) ).
cnf(refute_5_179,plain,
( e1 != e1
| op(e0,e1) = op(e1,e0) ),
inference(resolve,[$cnf( $equal(e1,op(e1,e0)) )],[refute_5_178,refute_5_169]) ).
cnf(refute_5_180,plain,
e1 != e1,
inference(resolve,[$cnf( $equal(op(e0,e1),op(e1,e0)) )],[refute_5_179,refute_5_0]) ).
cnf(refute_5_181,plain,
$false,
inference(resolve,[$cnf( $equal(e1,e1) )],[refute_5_152,refute_5_180]) ).
fof(negate_6_0,plain,
~ ( ( ( op(e0,e0) = e0
| op(e1,e1) = e0
| op(e2,e2) = e0
| op(e3,e3) = e0
| op(e4,e4) = e0 )
& ( op(e0,e0) = e1
| op(e1,e1) = e1
| op(e2,e2) = e1
| op(e3,e3) = e1
| op(e4,e4) = e1 )
& ( op(e0,e0) = e2
| op(e1,e1) = e2
| op(e2,e2) = e2
| op(e3,e3) = e2
| op(e4,e4) = e2 )
& ( op(e0,e0) = e3
| op(e1,e1) = e3
| op(e2,e2) = e3
| op(e3,e3) = e3
| op(e4,e4) = e3 )
& ( op(e0,e0) = e4
| op(e1,e1) = e4
| op(e2,e2) = e4
| op(e3,e3) = e4
| op(e4,e4) = e4 )
& ~ ( op(e0,e0) != op(e0,e0)
& op(op(e0,e0),e0) = e0
& op(op(e0,e0),e0) != e0 )
& ~ ( op(e1,e0) != op(e0,e1)
& op(op(e0,e1),e1) = e0
& op(op(e0,e1),e0) != e1 )
& ~ ( op(e2,e0) != op(e0,e2)
& op(op(e0,e2),e2) = e0
& op(op(e0,e2),e0) != e2 )
& ~ ( op(e3,e0) != op(e0,e3)
& op(op(e0,e3),e3) = e0
& op(op(e0,e3),e0) != e3 )
& ~ ( op(e4,e0) != op(e0,e4)
& op(op(e0,e4),e4) = e0
& op(op(e0,e4),e0) != e4 )
& ~ ( op(e0,e1) != op(e1,e0)
& op(op(e1,e0),e0) = e1
& op(op(e1,e0),e1) != e0 )
& op(e1,e1) != op(e1,e1)
& op(op(e1,e1),e1) = e1 )
=> op(op(e1,e1),e1) = e1 ),
inference(negate,[],[subgoal_6]) ).
fof(normalize_6_0,plain,
$false,
inference(canonicalize,[],[negate_6_0]) ).
cnf(refute_6_0,plain,
$false,
inference(canonicalize,[],[normalize_6_0]) ).
fof(negate_7_0,plain,
~ ( ( ( op(e0,e0) = e0
| op(e1,e1) = e0
| op(e2,e2) = e0
| op(e3,e3) = e0
| op(e4,e4) = e0 )
& ( op(e0,e0) = e1
| op(e1,e1) = e1
| op(e2,e2) = e1
| op(e3,e3) = e1
| op(e4,e4) = e1 )
& ( op(e0,e0) = e2
| op(e1,e1) = e2
| op(e2,e2) = e2
| op(e3,e3) = e2
| op(e4,e4) = e2 )
& ( op(e0,e0) = e3
| op(e1,e1) = e3
| op(e2,e2) = e3
| op(e3,e3) = e3
| op(e4,e4) = e3 )
& ( op(e0,e0) = e4
| op(e1,e1) = e4
| op(e2,e2) = e4
| op(e3,e3) = e4
| op(e4,e4) = e4 )
& ~ ( op(e0,e0) != op(e0,e0)
& op(op(e0,e0),e0) = e0
& op(op(e0,e0),e0) != e0 )
& ~ ( op(e1,e0) != op(e0,e1)
& op(op(e0,e1),e1) = e0
& op(op(e0,e1),e0) != e1 )
& ~ ( op(e2,e0) != op(e0,e2)
& op(op(e0,e2),e2) = e0
& op(op(e0,e2),e0) != e2 )
& ~ ( op(e3,e0) != op(e0,e3)
& op(op(e0,e3),e3) = e0
& op(op(e0,e3),e0) != e3 )
& ~ ( op(e4,e0) != op(e0,e4)
& op(op(e0,e4),e4) = e0
& op(op(e0,e4),e0) != e4 )
& ~ ( op(e0,e1) != op(e1,e0)
& op(op(e1,e0),e0) = e1
& op(op(e1,e0),e1) != e0 )
& ~ ( op(e1,e1) != op(e1,e1)
& op(op(e1,e1),e1) = e1
& op(op(e1,e1),e1) != e1 )
& op(e2,e1) != op(e1,e2)
& op(op(e1,e2),e2) = e1 )
=> op(op(e1,e2),e1) = e2 ),
inference(negate,[],[subgoal_7]) ).
fof(normalize_7_0,plain,
( op(e0,unit) = e0
& op(e1,unit) = e1
& op(e2,unit) = e2
& op(e3,unit) = e3
& op(e4,unit) = e4
& op(unit,e0) = e0
& op(unit,e1) = e1
& op(unit,e2) = e2
& op(unit,e3) = e3
& op(unit,e4) = e4
& ( unit = e0
| unit = e1
| unit = e2
| unit = e3
| unit = e4 ) ),
inference(canonicalize,[],[ax2]) ).
fof(normalize_7_1,plain,
op(e0,unit) = e0,
inference(conjunct,[],[normalize_7_0]) ).
fof(normalize_7_2,plain,
op(unit,e3) = e3,
inference(conjunct,[],[normalize_7_0]) ).
fof(normalize_7_3,plain,
op(unit,e4) = e4,
inference(conjunct,[],[normalize_7_0]) ).
fof(normalize_7_4,plain,
op(unit,e2) = e2,
inference(conjunct,[],[normalize_7_0]) ).
fof(normalize_7_5,plain,
( unit = e0
| unit = e1
| unit = e2
| unit = e3
| unit = e4 ),
inference(conjunct,[],[normalize_7_0]) ).
fof(normalize_7_6,plain,
( op(e2,e1) != op(e1,e2)
& op(op(e1,e2),e1) != e2
& op(op(e1,e2),e2) = e1
& ( op(op(e0,e1),e1) != e0
| op(e1,e0) = op(e0,e1)
| op(op(e0,e1),e0) = e1 )
& ( op(op(e0,e2),e2) != e0
| op(e2,e0) = op(e0,e2)
| op(op(e0,e2),e0) = e2 )
& ( op(op(e0,e3),e3) != e0
| op(e3,e0) = op(e0,e3)
| op(op(e0,e3),e0) = e3 )
& ( op(op(e0,e4),e4) != e0
| op(e4,e0) = op(e0,e4)
| op(op(e0,e4),e0) = e4 )
& ( op(op(e1,e0),e0) != e1
| op(e0,e1) = op(e1,e0)
| op(op(e1,e0),e1) = e0 )
& ( op(e0,e0) = e0
| op(e1,e1) = e0
| op(e2,e2) = e0
| op(e3,e3) = e0
| op(e4,e4) = e0 )
& ( op(e0,e0) = e1
| op(e1,e1) = e1
| op(e2,e2) = e1
| op(e3,e3) = e1
| op(e4,e4) = e1 )
& ( op(e0,e0) = e2
| op(e1,e1) = e2
| op(e2,e2) = e2
| op(e3,e3) = e2
| op(e4,e4) = e2 )
& ( op(e0,e0) = e3
| op(e1,e1) = e3
| op(e2,e2) = e3
| op(e3,e3) = e3
| op(e4,e4) = e3 )
& ( op(e0,e0) = e4
| op(e1,e1) = e4
| op(e2,e2) = e4
| op(e3,e3) = e4
| op(e4,e4) = e4 ) ),
inference(canonicalize,[],[negate_7_0]) ).
fof(normalize_7_7,plain,
op(op(e1,e2),e2) = e1,
inference(conjunct,[],[normalize_7_6]) ).
fof(normalize_7_8,plain,
( e0 = op(e1,op(op(e1,e1),op(e1,e1)))
& e2 = op(op(e1,e1),op(e1,e1))
& e3 = op(op(op(e1,e1),op(e1,e1)),op(op(e1,e1),op(e1,e1)))
& e4 = op(e1,e1) ),
inference(canonicalize,[],[ax6]) ).
fof(normalize_7_9,plain,
e0 = op(e1,op(op(e1,e1),op(e1,e1))),
inference(conjunct,[],[normalize_7_8]) ).
fof(normalize_7_10,plain,
e2 = op(op(e1,e1),op(e1,e1)),
inference(conjunct,[],[normalize_7_8]) ).
fof(normalize_7_11,plain,
( e0 != e1
& e0 != e2
& e0 != e3
& e0 != e4
& e1 != e2
& e1 != e3
& e1 != e4
& e2 != e3
& e2 != e4
& e3 != e4 ),
inference(canonicalize,[],[ax5]) ).
fof(normalize_7_12,plain,
e1 != e2,
inference(conjunct,[],[normalize_7_11]) ).
fof(normalize_7_13,plain,
( op(e0,e0) != op(e0,e1)
& op(e0,e0) != op(e0,e2)
& op(e0,e0) != op(e0,e3)
& op(e0,e0) != op(e0,e4)
& op(e0,e0) != op(e1,e0)
& op(e0,e0) != op(e2,e0)
& op(e0,e0) != op(e3,e0)
& op(e0,e0) != op(e4,e0)
& op(e0,e1) != op(e0,e2)
& op(e0,e1) != op(e0,e3)
& op(e0,e1) != op(e0,e4)
& op(e0,e1) != op(e1,e1)
& op(e0,e1) != op(e2,e1)
& op(e0,e1) != op(e3,e1)
& op(e0,e1) != op(e4,e1)
& op(e0,e2) != op(e0,e3)
& op(e0,e2) != op(e0,e4)
& op(e0,e2) != op(e1,e2)
& op(e0,e2) != op(e2,e2)
& op(e0,e2) != op(e3,e2)
& op(e0,e2) != op(e4,e2)
& op(e0,e3) != op(e0,e4)
& op(e0,e3) != op(e1,e3)
& op(e0,e3) != op(e2,e3)
& op(e0,e3) != op(e3,e3)
& op(e0,e3) != op(e4,e3)
& op(e0,e4) != op(e1,e4)
& op(e0,e4) != op(e2,e4)
& op(e0,e4) != op(e3,e4)
& op(e0,e4) != op(e4,e4)
& op(e1,e0) != op(e1,e1)
& op(e1,e0) != op(e1,e2)
& op(e1,e0) != op(e1,e3)
& op(e1,e0) != op(e1,e4)
& op(e1,e0) != op(e2,e0)
& op(e1,e0) != op(e3,e0)
& op(e1,e0) != op(e4,e0)
& op(e1,e1) != op(e1,e2)
& op(e1,e1) != op(e1,e3)
& op(e1,e1) != op(e1,e4)
& op(e1,e1) != op(e2,e1)
& op(e1,e1) != op(e3,e1)
& op(e1,e1) != op(e4,e1)
& op(e1,e2) != op(e1,e3)
& op(e1,e2) != op(e1,e4)
& op(e1,e2) != op(e2,e2)
& op(e1,e2) != op(e3,e2)
& op(e1,e2) != op(e4,e2)
& op(e1,e3) != op(e1,e4)
& op(e1,e3) != op(e2,e3)
& op(e1,e3) != op(e3,e3)
& op(e1,e3) != op(e4,e3)
& op(e1,e4) != op(e2,e4)
& op(e1,e4) != op(e3,e4)
& op(e1,e4) != op(e4,e4)
& op(e2,e0) != op(e2,e1)
& op(e2,e0) != op(e2,e2)
& op(e2,e0) != op(e2,e3)
& op(e2,e0) != op(e2,e4)
& op(e2,e0) != op(e3,e0)
& op(e2,e0) != op(e4,e0)
& op(e2,e1) != op(e2,e2)
& op(e2,e1) != op(e2,e3)
& op(e2,e1) != op(e2,e4)
& op(e2,e1) != op(e3,e1)
& op(e2,e1) != op(e4,e1)
& op(e2,e2) != op(e2,e3)
& op(e2,e2) != op(e2,e4)
& op(e2,e2) != op(e3,e2)
& op(e2,e2) != op(e4,e2)
& op(e2,e3) != op(e2,e4)
& op(e2,e3) != op(e3,e3)
& op(e2,e3) != op(e4,e3)
& op(e2,e4) != op(e3,e4)
& op(e2,e4) != op(e4,e4)
& op(e3,e0) != op(e3,e1)
& op(e3,e0) != op(e3,e2)
& op(e3,e0) != op(e3,e3)
& op(e3,e0) != op(e3,e4)
& op(e3,e0) != op(e4,e0)
& op(e3,e1) != op(e3,e2)
& op(e3,e1) != op(e3,e3)
& op(e3,e1) != op(e3,e4)
& op(e3,e1) != op(e4,e1)
& op(e3,e2) != op(e3,e3)
& op(e3,e2) != op(e3,e4)
& op(e3,e2) != op(e4,e2)
& op(e3,e3) != op(e3,e4)
& op(e3,e3) != op(e4,e3)
& op(e3,e4) != op(e4,e4)
& op(e4,e0) != op(e4,e1)
& op(e4,e0) != op(e4,e2)
& op(e4,e0) != op(e4,e3)
& op(e4,e0) != op(e4,e4)
& op(e4,e1) != op(e4,e2)
& op(e4,e1) != op(e4,e3)
& op(e4,e1) != op(e4,e4)
& op(e4,e2) != op(e4,e3)
& op(e4,e2) != op(e4,e4)
& op(e4,e3) != op(e4,e4) ),
inference(canonicalize,[],[ax4]) ).
fof(normalize_7_14,plain,
op(e1,e1) != op(e1,e4),
inference(conjunct,[],[normalize_7_13]) ).
fof(normalize_7_15,plain,
e4 = op(e1,e1),
inference(conjunct,[],[normalize_7_8]) ).
fof(normalize_7_16,plain,
op(e2,e2) != op(e2,e3),
inference(conjunct,[],[normalize_7_13]) ).
fof(normalize_7_17,plain,
e3 = op(op(op(e1,e1),op(e1,e1)),op(op(e1,e1),op(e1,e1))),
inference(conjunct,[],[normalize_7_8]) ).
fof(normalize_7_18,plain,
( op(e0,e0) = e1
| op(e1,e1) = e1
| op(e2,e2) = e1
| op(e3,e3) = e1
| op(e4,e4) = e1 ),
inference(conjunct,[],[normalize_7_6]) ).
fof(normalize_7_19,plain,
e1 != e3,
inference(conjunct,[],[normalize_7_11]) ).
fof(normalize_7_20,plain,
e1 != e4,
inference(conjunct,[],[normalize_7_11]) ).
fof(normalize_7_21,plain,
op(e0,e0) != op(e0,e2),
inference(conjunct,[],[normalize_7_13]) ).
fof(normalize_7_22,plain,
op(e4,unit) = e4,
inference(conjunct,[],[normalize_7_0]) ).
fof(normalize_7_23,plain,
e0 != e1,
inference(conjunct,[],[normalize_7_11]) ).
cnf(refute_7_0,plain,
op(e0,unit) = e0,
inference(canonicalize,[],[normalize_7_1]) ).
cnf(refute_7_1,plain,
op(unit,e3) = e3,
inference(canonicalize,[],[normalize_7_2]) ).
cnf(refute_7_2,plain,
op(unit,e4) = e4,
inference(canonicalize,[],[normalize_7_3]) ).
cnf(refute_7_3,plain,
op(unit,e2) = e2,
inference(canonicalize,[],[normalize_7_4]) ).
cnf(refute_7_4,plain,
( unit = e0
| unit = e1
| unit = e2
| unit = e3
| unit = e4 ),
inference(canonicalize,[],[normalize_7_5]) ).
cnf(refute_7_5,plain,
( op(unit,e2) != e2
| unit != e0
| op(e0,e2) = e2 ),
introduced(tautology,[equality,[$cnf( $equal(op(unit,e2),e2) ),[0,0],$fot(e0)]]) ).
cnf(refute_7_6,plain,
( op(unit,e2) != e2
| op(e0,e2) = e2
| unit = e1
| unit = e2
| unit = e3
| unit = e4 ),
inference(resolve,[$cnf( $equal(unit,e0) )],[refute_7_4,refute_7_5]) ).
cnf(refute_7_7,plain,
( op(e0,e2) = e2
| unit = e1
| unit = e2
| unit = e3
| unit = e4 ),
inference(resolve,[$cnf( $equal(op(unit,e2),e2) )],[refute_7_3,refute_7_6]) ).
cnf(refute_7_8,plain,
op(op(e1,e2),e2) = e1,
inference(canonicalize,[],[normalize_7_7]) ).
cnf(refute_7_9,plain,
e0 = op(e1,op(op(e1,e1),op(e1,e1))),
inference(canonicalize,[],[normalize_7_9]) ).
cnf(refute_7_10,plain,
e2 = op(op(e1,e1),op(e1,e1)),
inference(canonicalize,[],[normalize_7_10]) ).
cnf(refute_7_11,plain,
X = X,
introduced(tautology,[refl,[$fot(X)]]) ).
cnf(refute_7_12,plain,
( X != X
| X != Y
| Y = X ),
introduced(tautology,[equality,[$cnf( $equal(X,X) ),[0],$fot(Y)]]) ).
cnf(refute_7_13,plain,
( X != Y
| Y = X ),
inference(resolve,[$cnf( $equal(X,X) )],[refute_7_11,refute_7_12]) ).
cnf(refute_7_14,plain,
( e2 != op(op(e1,e1),op(e1,e1))
| op(op(e1,e1),op(e1,e1)) = e2 ),
inference(subst,[],[refute_7_13:[bind(X,$fot(e2)),bind(Y,$fot(op(op(e1,e1),op(e1,e1))))]]) ).
cnf(refute_7_15,plain,
op(op(e1,e1),op(e1,e1)) = e2,
inference(resolve,[$cnf( $equal(e2,op(op(e1,e1),op(e1,e1))) )],[refute_7_10,refute_7_14]) ).
cnf(refute_7_16,plain,
op(e1,op(op(e1,e1),op(e1,e1))) = op(e1,op(op(e1,e1),op(e1,e1))),
introduced(tautology,[refl,[$fot(op(e1,op(op(e1,e1),op(e1,e1))))]]) ).
cnf(refute_7_17,plain,
( op(e1,op(op(e1,e1),op(e1,e1))) != op(e1,op(op(e1,e1),op(e1,e1)))
| op(op(e1,e1),op(e1,e1)) != e2
| op(e1,op(op(e1,e1),op(e1,e1))) = op(e1,e2) ),
introduced(tautology,[equality,[$cnf( $equal(op(e1,op(op(e1,e1),op(e1,e1))),op(e1,op(op(e1,e1),op(e1,e1)))) ),[1,1],$fot(e2)]]) ).
cnf(refute_7_18,plain,
( op(op(e1,e1),op(e1,e1)) != e2
| op(e1,op(op(e1,e1),op(e1,e1))) = op(e1,e2) ),
inference(resolve,[$cnf( $equal(op(e1,op(op(e1,e1),op(e1,e1))),op(e1,op(op(e1,e1),op(e1,e1)))) )],[refute_7_16,refute_7_17]) ).
cnf(refute_7_19,plain,
op(e1,op(op(e1,e1),op(e1,e1))) = op(e1,e2),
inference(resolve,[$cnf( $equal(op(op(e1,e1),op(e1,e1)),e2) )],[refute_7_15,refute_7_18]) ).
cnf(refute_7_20,plain,
( e0 != op(e1,op(op(e1,e1),op(e1,e1)))
| op(e1,op(op(e1,e1),op(e1,e1))) != op(e1,e2)
| e0 = op(e1,e2) ),
introduced(tautology,[equality,[$cnf( ~ $equal(e0,op(e1,e2)) ),[0],$fot(op(e1,op(op(e1,e1),op(e1,e1))))]]) ).
cnf(refute_7_21,plain,
( e0 != op(e1,op(op(e1,e1),op(e1,e1)))
| e0 = op(e1,e2) ),
inference(resolve,[$cnf( $equal(op(e1,op(op(e1,e1),op(e1,e1))),op(e1,e2)) )],[refute_7_19,refute_7_20]) ).
cnf(refute_7_22,plain,
e0 = op(e1,e2),
inference(resolve,[$cnf( $equal(e0,op(e1,op(op(e1,e1),op(e1,e1)))) )],[refute_7_9,refute_7_21]) ).
cnf(refute_7_23,plain,
( e0 != op(e1,e2)
| op(e1,e2) = e0 ),
inference(subst,[],[refute_7_13:[bind(X,$fot(e0)),bind(Y,$fot(op(e1,e2)))]]) ).
cnf(refute_7_24,plain,
op(e1,e2) = e0,
inference(resolve,[$cnf( $equal(e0,op(e1,e2)) )],[refute_7_22,refute_7_23]) ).
cnf(refute_7_25,plain,
op(op(e1,e2),e2) = op(op(e1,e2),e2),
introduced(tautology,[refl,[$fot(op(op(e1,e2),e2))]]) ).
cnf(refute_7_26,plain,
( op(e1,e2) != e0
| op(op(e1,e2),e2) != op(op(e1,e2),e2)
| op(op(e1,e2),e2) = op(e0,e2) ),
introduced(tautology,[equality,[$cnf( $equal(op(op(e1,e2),e2),op(op(e1,e2),e2)) ),[1,0],$fot(e0)]]) ).
cnf(refute_7_27,plain,
( op(e1,e2) != e0
| op(op(e1,e2),e2) = op(e0,e2) ),
inference(resolve,[$cnf( $equal(op(op(e1,e2),e2),op(op(e1,e2),e2)) )],[refute_7_25,refute_7_26]) ).
cnf(refute_7_28,plain,
op(op(e1,e2),e2) = op(e0,e2),
inference(resolve,[$cnf( $equal(op(e1,e2),e0) )],[refute_7_24,refute_7_27]) ).
cnf(refute_7_29,plain,
( op(op(e1,e2),e2) != e1
| op(op(e1,e2),e2) != op(e0,e2)
| op(e0,e2) = e1 ),
introduced(tautology,[equality,[$cnf( $equal(op(op(e1,e2),e2),e1) ),[0],$fot(op(e0,e2))]]) ).
cnf(refute_7_30,plain,
( op(op(e1,e2),e2) != e1
| op(e0,e2) = e1 ),
inference(resolve,[$cnf( $equal(op(op(e1,e2),e2),op(e0,e2)) )],[refute_7_28,refute_7_29]) ).
cnf(refute_7_31,plain,
op(e0,e2) = e1,
inference(resolve,[$cnf( $equal(op(op(e1,e2),e2),e1) )],[refute_7_8,refute_7_30]) ).
cnf(refute_7_32,plain,
( op(e0,e2) != e1
| op(e0,e2) != e2
| e1 = e2 ),
introduced(tautology,[equality,[$cnf( $equal(op(e0,e2),e2) ),[0],$fot(e1)]]) ).
cnf(refute_7_33,plain,
( op(e0,e2) != e2
| e1 = e2 ),
inference(resolve,[$cnf( $equal(op(e0,e2),e1) )],[refute_7_31,refute_7_32]) ).
cnf(refute_7_34,plain,
( e1 = e2
| unit = e1
| unit = e2
| unit = e3
| unit = e4 ),
inference(resolve,[$cnf( $equal(op(e0,e2),e2) )],[refute_7_7,refute_7_33]) ).
cnf(refute_7_35,plain,
e1 != e2,
inference(canonicalize,[],[normalize_7_12]) ).
cnf(refute_7_36,plain,
( unit = e1
| unit = e2
| unit = e3
| unit = e4 ),
inference(resolve,[$cnf( $equal(e1,e2) )],[refute_7_34,refute_7_35]) ).
cnf(refute_7_37,plain,
( op(unit,e4) != e4
| unit != e1
| op(e1,e4) = e4 ),
introduced(tautology,[equality,[$cnf( $equal(op(unit,e4),e4) ),[0,0],$fot(e1)]]) ).
cnf(refute_7_38,plain,
( op(unit,e4) != e4
| op(e1,e4) = e4
| unit = e2
| unit = e3
| unit = e4 ),
inference(resolve,[$cnf( $equal(unit,e1) )],[refute_7_36,refute_7_37]) ).
cnf(refute_7_39,plain,
( op(e1,e4) = e4
| unit = e2
| unit = e3
| unit = e4 ),
inference(resolve,[$cnf( $equal(op(unit,e4),e4) )],[refute_7_2,refute_7_38]) ).
cnf(refute_7_40,plain,
op(e1,e1) != op(e1,e4),
inference(canonicalize,[],[normalize_7_14]) ).
cnf(refute_7_41,plain,
e4 = op(e1,e1),
inference(canonicalize,[],[normalize_7_15]) ).
cnf(refute_7_42,plain,
( e4 != op(e1,e1)
| op(e1,e1) = e4 ),
inference(subst,[],[refute_7_13:[bind(X,$fot(e4)),bind(Y,$fot(op(e1,e1)))]]) ).
cnf(refute_7_43,plain,
op(e1,e1) = e4,
inference(resolve,[$cnf( $equal(e4,op(e1,e1)) )],[refute_7_41,refute_7_42]) ).
cnf(refute_7_44,plain,
( e4 != op(e1,e4)
| op(e1,e1) != e4
| op(e1,e1) = op(e1,e4) ),
introduced(tautology,[equality,[$cnf( $equal(op(e1,e1),e4) ),[1],$fot(op(e1,e4))]]) ).
cnf(refute_7_45,plain,
( e4 != op(e1,e4)
| op(e1,e1) = op(e1,e4) ),
inference(resolve,[$cnf( $equal(op(e1,e1),e4) )],[refute_7_43,refute_7_44]) ).
cnf(refute_7_46,plain,
e4 != op(e1,e4),
inference(resolve,[$cnf( $equal(op(e1,e1),op(e1,e4)) )],[refute_7_45,refute_7_40]) ).
cnf(refute_7_47,plain,
( op(e1,e4) != e4
| e4 = op(e1,e4) ),
inference(subst,[],[refute_7_13:[bind(X,$fot(op(e1,e4))),bind(Y,$fot(e4))]]) ).
cnf(refute_7_48,plain,
op(e1,e4) != e4,
inference(resolve,[$cnf( $equal(e4,op(e1,e4)) )],[refute_7_47,refute_7_46]) ).
cnf(refute_7_49,plain,
( unit = e2
| unit = e3
| unit = e4 ),
inference(resolve,[$cnf( $equal(op(e1,e4),e4) )],[refute_7_39,refute_7_48]) ).
cnf(refute_7_50,plain,
( op(unit,e3) != e3
| unit != e2
| op(e2,e3) = e3 ),
introduced(tautology,[equality,[$cnf( $equal(op(unit,e3),e3) ),[0,0],$fot(e2)]]) ).
cnf(refute_7_51,plain,
( op(unit,e3) != e3
| op(e2,e3) = e3
| unit = e3
| unit = e4 ),
inference(resolve,[$cnf( $equal(unit,e2) )],[refute_7_49,refute_7_50]) ).
cnf(refute_7_52,plain,
( op(e2,e3) = e3
| unit = e3
| unit = e4 ),
inference(resolve,[$cnf( $equal(op(unit,e3),e3) )],[refute_7_1,refute_7_51]) ).
cnf(refute_7_53,plain,
op(e2,e2) != op(e2,e3),
inference(canonicalize,[],[normalize_7_16]) ).
cnf(refute_7_54,plain,
e3 = op(op(op(e1,e1),op(e1,e1)),op(op(e1,e1),op(e1,e1))),
inference(canonicalize,[],[normalize_7_17]) ).
cnf(refute_7_55,plain,
op(e2,op(op(e1,e1),op(e1,e1))) = op(e2,op(op(e1,e1),op(e1,e1))),
introduced(tautology,[refl,[$fot(op(e2,op(op(e1,e1),op(e1,e1))))]]) ).
cnf(refute_7_56,plain,
( op(e2,op(op(e1,e1),op(e1,e1))) != op(e2,op(op(e1,e1),op(e1,e1)))
| op(op(e1,e1),op(e1,e1)) != e2
| op(e2,op(op(e1,e1),op(e1,e1))) = op(e2,e2) ),
introduced(tautology,[equality,[$cnf( $equal(op(e2,op(op(e1,e1),op(e1,e1))),op(e2,op(op(e1,e1),op(e1,e1)))) ),[1,1],$fot(e2)]]) ).
cnf(refute_7_57,plain,
( op(op(e1,e1),op(e1,e1)) != e2
| op(e2,op(op(e1,e1),op(e1,e1))) = op(e2,e2) ),
inference(resolve,[$cnf( $equal(op(e2,op(op(e1,e1),op(e1,e1))),op(e2,op(op(e1,e1),op(e1,e1)))) )],[refute_7_55,refute_7_56]) ).
cnf(refute_7_58,plain,
op(e2,op(op(e1,e1),op(e1,e1))) = op(e2,e2),
inference(resolve,[$cnf( $equal(op(op(e1,e1),op(e1,e1)),e2) )],[refute_7_15,refute_7_57]) ).
cnf(refute_7_59,plain,
op(op(op(e1,e1),op(e1,e1)),op(op(e1,e1),op(e1,e1))) = op(op(op(e1,e1),op(e1,e1)),op(op(e1,e1),op(e1,e1))),
introduced(tautology,[refl,[$fot(op(op(op(e1,e1),op(e1,e1)),op(op(e1,e1),op(e1,e1))))]]) ).
cnf(refute_7_60,plain,
( op(op(e1,e1),op(e1,e1)) != e2
| op(op(op(e1,e1),op(e1,e1)),op(op(e1,e1),op(e1,e1))) != op(op(op(e1,e1),op(e1,e1)),op(op(e1,e1),op(e1,e1)))
| op(op(op(e1,e1),op(e1,e1)),op(op(e1,e1),op(e1,e1))) = op(e2,op(op(e1,e1),op(e1,e1))) ),
introduced(tautology,[equality,[$cnf( $equal(op(op(op(e1,e1),op(e1,e1)),op(op(e1,e1),op(e1,e1))),op(op(op(e1,e1),op(e1,e1)),op(op(e1,e1),op(e1,e1)))) ),[1,0],$fot(e2)]]) ).
cnf(refute_7_61,plain,
( op(op(e1,e1),op(e1,e1)) != e2
| op(op(op(e1,e1),op(e1,e1)),op(op(e1,e1),op(e1,e1))) = op(e2,op(op(e1,e1),op(e1,e1))) ),
inference(resolve,[$cnf( $equal(op(op(op(e1,e1),op(e1,e1)),op(op(e1,e1),op(e1,e1))),op(op(op(e1,e1),op(e1,e1)),op(op(e1,e1),op(e1,e1)))) )],[refute_7_59,refute_7_60]) ).
cnf(refute_7_62,plain,
op(op(op(e1,e1),op(e1,e1)),op(op(e1,e1),op(e1,e1))) = op(e2,op(op(e1,e1),op(e1,e1))),
inference(resolve,[$cnf( $equal(op(op(e1,e1),op(e1,e1)),e2) )],[refute_7_15,refute_7_61]) ).
cnf(refute_7_63,plain,
( Y != X
| Y != Z
| X = Z ),
introduced(tautology,[equality,[$cnf( $equal(Y,Z) ),[0],$fot(X)]]) ).
cnf(refute_7_64,plain,
( X != Y
| Y != Z
| X = Z ),
inference(resolve,[$cnf( $equal(Y,X) )],[refute_7_13,refute_7_63]) ).
cnf(refute_7_65,plain,
( op(e2,op(op(e1,e1),op(e1,e1))) != op(e2,e2)
| op(op(op(e1,e1),op(e1,e1)),op(op(e1,e1),op(e1,e1))) != op(e2,op(op(e1,e1),op(e1,e1)))
| op(op(op(e1,e1),op(e1,e1)),op(op(e1,e1),op(e1,e1))) = op(e2,e2) ),
inference(subst,[],[refute_7_64:[bind(X,$fot(op(op(op(e1,e1),op(e1,e1)),op(op(e1,e1),op(e1,e1))))),bind(Y,$fot(op(e2,op(op(e1,e1),op(e1,e1))))),bind(Z,$fot(op(e2,e2)))]]) ).
cnf(refute_7_66,plain,
( op(e2,op(op(e1,e1),op(e1,e1))) != op(e2,e2)
| op(op(op(e1,e1),op(e1,e1)),op(op(e1,e1),op(e1,e1))) = op(e2,e2) ),
inference(resolve,[$cnf( $equal(op(op(op(e1,e1),op(e1,e1)),op(op(e1,e1),op(e1,e1))),op(e2,op(op(e1,e1),op(e1,e1)))) )],[refute_7_62,refute_7_65]) ).
cnf(refute_7_67,plain,
op(op(op(e1,e1),op(e1,e1)),op(op(e1,e1),op(e1,e1))) = op(e2,e2),
inference(resolve,[$cnf( $equal(op(e2,op(op(e1,e1),op(e1,e1))),op(e2,e2)) )],[refute_7_58,refute_7_66]) ).
cnf(refute_7_68,plain,
( e3 != op(op(op(e1,e1),op(e1,e1)),op(op(e1,e1),op(e1,e1)))
| op(op(op(e1,e1),op(e1,e1)),op(op(e1,e1),op(e1,e1))) != op(e2,e2)
| e3 = op(e2,e2) ),
introduced(tautology,[equality,[$cnf( ~ $equal(e3,op(e2,e2)) ),[0],$fot(op(op(op(e1,e1),op(e1,e1)),op(op(e1,e1),op(e1,e1))))]]) ).
cnf(refute_7_69,plain,
( e3 != op(op(op(e1,e1),op(e1,e1)),op(op(e1,e1),op(e1,e1)))
| e3 = op(e2,e2) ),
inference(resolve,[$cnf( $equal(op(op(op(e1,e1),op(e1,e1)),op(op(e1,e1),op(e1,e1))),op(e2,e2)) )],[refute_7_67,refute_7_68]) ).
cnf(refute_7_70,plain,
e3 = op(e2,e2),
inference(resolve,[$cnf( $equal(e3,op(op(op(e1,e1),op(e1,e1)),op(op(e1,e1),op(e1,e1)))) )],[refute_7_54,refute_7_69]) ).
cnf(refute_7_71,plain,
( e3 != op(e2,e2)
| op(e2,e2) = e3 ),
inference(subst,[],[refute_7_13:[bind(X,$fot(e3)),bind(Y,$fot(op(e2,e2)))]]) ).
cnf(refute_7_72,plain,
op(e2,e2) = e3,
inference(resolve,[$cnf( $equal(e3,op(e2,e2)) )],[refute_7_70,refute_7_71]) ).
cnf(refute_7_73,plain,
( e3 != op(e2,e3)
| op(e2,e2) != e3
| op(e2,e2) = op(e2,e3) ),
introduced(tautology,[equality,[$cnf( $equal(op(e2,e2),e3) ),[1],$fot(op(e2,e3))]]) ).
cnf(refute_7_74,plain,
( e3 != op(e2,e3)
| op(e2,e2) = op(e2,e3) ),
inference(resolve,[$cnf( $equal(op(e2,e2),e3) )],[refute_7_72,refute_7_73]) ).
cnf(refute_7_75,plain,
e3 != op(e2,e3),
inference(resolve,[$cnf( $equal(op(e2,e2),op(e2,e3)) )],[refute_7_74,refute_7_53]) ).
cnf(refute_7_76,plain,
( op(e2,e3) != e3
| e3 = op(e2,e3) ),
inference(subst,[],[refute_7_13:[bind(X,$fot(op(e2,e3))),bind(Y,$fot(e3))]]) ).
cnf(refute_7_77,plain,
op(e2,e3) != e3,
inference(resolve,[$cnf( $equal(e3,op(e2,e3)) )],[refute_7_76,refute_7_75]) ).
cnf(refute_7_78,plain,
( unit = e3
| unit = e4 ),
inference(resolve,[$cnf( $equal(op(e2,e3),e3) )],[refute_7_52,refute_7_77]) ).
cnf(refute_7_79,plain,
( op(unit,e3) != e3
| unit != e3
| op(e3,e3) = e3 ),
introduced(tautology,[equality,[$cnf( $equal(op(unit,e3),e3) ),[0,0],$fot(e3)]]) ).
cnf(refute_7_80,plain,
( op(unit,e3) != e3
| op(e3,e3) = e3
| unit = e4 ),
inference(resolve,[$cnf( $equal(unit,e3) )],[refute_7_78,refute_7_79]) ).
cnf(refute_7_81,plain,
( op(e3,e3) = e3
| unit = e4 ),
inference(resolve,[$cnf( $equal(op(unit,e3),e3) )],[refute_7_1,refute_7_80]) ).
cnf(refute_7_82,plain,
( op(e0,e0) = e1
| op(e1,e1) = e1
| op(e2,e2) = e1
| op(e3,e3) = e1
| op(e4,e4) = e1 ),
inference(canonicalize,[],[normalize_7_18]) ).
cnf(refute_7_83,plain,
( op(e1,e1) != e1
| op(e1,e1) != e4
| e4 = e1 ),
introduced(tautology,[equality,[$cnf( $equal(op(e1,e1),e1) ),[0],$fot(e4)]]) ).
cnf(refute_7_84,plain,
( op(e1,e1) != e1
| e4 = e1 ),
inference(resolve,[$cnf( $equal(op(e1,e1),e4) )],[refute_7_43,refute_7_83]) ).
cnf(refute_7_85,plain,
( e4 = e1
| op(e0,e0) = e1
| op(e2,e2) = e1
| op(e3,e3) = e1
| op(e4,e4) = e1 ),
inference(resolve,[$cnf( $equal(op(e1,e1),e1) )],[refute_7_82,refute_7_84]) ).
cnf(refute_7_86,plain,
( op(e2,e2) != e1
| op(e2,e2) != e3
| e3 = e1 ),
introduced(tautology,[equality,[$cnf( $equal(op(e2,e2),e1) ),[0],$fot(e3)]]) ).
cnf(refute_7_87,plain,
( op(e2,e2) != e1
| e3 = e1 ),
inference(resolve,[$cnf( $equal(op(e2,e2),e3) )],[refute_7_72,refute_7_86]) ).
cnf(refute_7_88,plain,
( e3 = e1
| e4 = e1
| op(e0,e0) = e1
| op(e3,e3) = e1
| op(e4,e4) = e1 ),
inference(resolve,[$cnf( $equal(op(e2,e2),e1) )],[refute_7_85,refute_7_87]) ).
cnf(refute_7_89,plain,
op(e4,op(e1,e1)) = op(e4,op(e1,e1)),
introduced(tautology,[refl,[$fot(op(e4,op(e1,e1)))]]) ).
cnf(refute_7_90,plain,
( op(e1,e1) != e4
| op(e4,op(e1,e1)) != op(e4,op(e1,e1))
| op(e4,op(e1,e1)) = op(e4,e4) ),
introduced(tautology,[equality,[$cnf( $equal(op(e4,op(e1,e1)),op(e4,op(e1,e1))) ),[1,1],$fot(e4)]]) ).
cnf(refute_7_91,plain,
( op(e1,e1) != e4
| op(e4,op(e1,e1)) = op(e4,e4) ),
inference(resolve,[$cnf( $equal(op(e4,op(e1,e1)),op(e4,op(e1,e1))) )],[refute_7_89,refute_7_90]) ).
cnf(refute_7_92,plain,
op(e4,op(e1,e1)) = op(e4,e4),
inference(resolve,[$cnf( $equal(op(e1,e1),e4) )],[refute_7_43,refute_7_91]) ).
cnf(refute_7_93,plain,
op(op(e1,e1),op(e1,e1)) = op(op(e1,e1),op(e1,e1)),
introduced(tautology,[refl,[$fot(op(op(e1,e1),op(e1,e1)))]]) ).
cnf(refute_7_94,plain,
( op(e1,e1) != e4
| op(op(e1,e1),op(e1,e1)) != op(op(e1,e1),op(e1,e1))
| op(op(e1,e1),op(e1,e1)) = op(e4,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(e4)]]) ).
cnf(refute_7_95,plain,
( op(e1,e1) != e4
| op(op(e1,e1),op(e1,e1)) = op(e4,op(e1,e1)) ),
inference(resolve,[$cnf( $equal(op(op(e1,e1),op(e1,e1)),op(op(e1,e1),op(e1,e1))) )],[refute_7_93,refute_7_94]) ).
cnf(refute_7_96,plain,
op(op(e1,e1),op(e1,e1)) = op(e4,op(e1,e1)),
inference(resolve,[$cnf( $equal(op(e1,e1),e4) )],[refute_7_43,refute_7_95]) ).
cnf(refute_7_97,plain,
( op(e4,op(e1,e1)) != op(e4,e4)
| op(op(e1,e1),op(e1,e1)) != op(e4,op(e1,e1))
| op(op(e1,e1),op(e1,e1)) = op(e4,e4) ),
inference(subst,[],[refute_7_64:[bind(X,$fot(op(op(e1,e1),op(e1,e1)))),bind(Y,$fot(op(e4,op(e1,e1)))),bind(Z,$fot(op(e4,e4)))]]) ).
cnf(refute_7_98,plain,
( op(e4,op(e1,e1)) != op(e4,e4)
| op(op(e1,e1),op(e1,e1)) = op(e4,e4) ),
inference(resolve,[$cnf( $equal(op(op(e1,e1),op(e1,e1)),op(e4,op(e1,e1))) )],[refute_7_96,refute_7_97]) ).
cnf(refute_7_99,plain,
op(op(e1,e1),op(e1,e1)) = op(e4,e4),
inference(resolve,[$cnf( $equal(op(e4,op(e1,e1)),op(e4,e4)) )],[refute_7_92,refute_7_98]) ).
cnf(refute_7_100,plain,
( e2 != op(op(e1,e1),op(e1,e1))
| op(op(e1,e1),op(e1,e1)) != op(e4,e4)
| e2 = op(e4,e4) ),
introduced(tautology,[equality,[$cnf( ~ $equal(e2,op(e4,e4)) ),[0],$fot(op(op(e1,e1),op(e1,e1)))]]) ).
cnf(refute_7_101,plain,
( e2 != op(op(e1,e1),op(e1,e1))
| e2 = op(e4,e4) ),
inference(resolve,[$cnf( $equal(op(op(e1,e1),op(e1,e1)),op(e4,e4)) )],[refute_7_99,refute_7_100]) ).
cnf(refute_7_102,plain,
e2 = op(e4,e4),
inference(resolve,[$cnf( $equal(e2,op(op(e1,e1),op(e1,e1))) )],[refute_7_10,refute_7_101]) ).
cnf(refute_7_103,plain,
( e2 != op(e4,e4)
| op(e4,e4) = e2 ),
inference(subst,[],[refute_7_13:[bind(X,$fot(e2)),bind(Y,$fot(op(e4,e4)))]]) ).
cnf(refute_7_104,plain,
op(e4,e4) = e2,
inference(resolve,[$cnf( $equal(e2,op(e4,e4)) )],[refute_7_102,refute_7_103]) ).
cnf(refute_7_105,plain,
( op(e4,e4) != e1
| op(e4,e4) != e2
| e2 = e1 ),
introduced(tautology,[equality,[$cnf( $equal(op(e4,e4),e1) ),[0],$fot(e2)]]) ).
cnf(refute_7_106,plain,
( op(e4,e4) != e1
| e2 = e1 ),
inference(resolve,[$cnf( $equal(op(e4,e4),e2) )],[refute_7_104,refute_7_105]) ).
cnf(refute_7_107,plain,
( e2 = e1
| e3 = e1
| e4 = e1
| op(e0,e0) = e1
| op(e3,e3) = e1 ),
inference(resolve,[$cnf( $equal(op(e4,e4),e1) )],[refute_7_88,refute_7_106]) ).
cnf(refute_7_108,plain,
( e2 != e1
| e1 = e2 ),
inference(subst,[],[refute_7_13:[bind(X,$fot(e2)),bind(Y,$fot(e1))]]) ).
cnf(refute_7_109,plain,
e2 != e1,
inference(resolve,[$cnf( $equal(e1,e2) )],[refute_7_108,refute_7_35]) ).
cnf(refute_7_110,plain,
( e3 = e1
| e4 = e1
| op(e0,e0) = e1
| op(e3,e3) = e1 ),
inference(resolve,[$cnf( $equal(e2,e1) )],[refute_7_107,refute_7_109]) ).
cnf(refute_7_111,plain,
e1 != e3,
inference(canonicalize,[],[normalize_7_19]) ).
cnf(refute_7_112,plain,
( e3 != e1
| e1 = e3 ),
inference(subst,[],[refute_7_13:[bind(X,$fot(e3)),bind(Y,$fot(e1))]]) ).
cnf(refute_7_113,plain,
e3 != e1,
inference(resolve,[$cnf( $equal(e1,e3) )],[refute_7_112,refute_7_111]) ).
cnf(refute_7_114,plain,
( e4 = e1
| op(e0,e0) = e1
| op(e3,e3) = e1 ),
inference(resolve,[$cnf( $equal(e3,e1) )],[refute_7_110,refute_7_113]) ).
cnf(refute_7_115,plain,
e1 != e4,
inference(canonicalize,[],[normalize_7_20]) ).
cnf(refute_7_116,plain,
( e4 != e1
| e1 = e4 ),
inference(subst,[],[refute_7_13:[bind(X,$fot(e4)),bind(Y,$fot(e1))]]) ).
cnf(refute_7_117,plain,
e4 != e1,
inference(resolve,[$cnf( $equal(e1,e4) )],[refute_7_116,refute_7_115]) ).
cnf(refute_7_118,plain,
( op(e0,e0) = e1
| op(e3,e3) = e1 ),
inference(resolve,[$cnf( $equal(e4,e1) )],[refute_7_114,refute_7_117]) ).
cnf(refute_7_119,plain,
op(e0,e0) != op(e0,e2),
inference(canonicalize,[],[normalize_7_21]) ).
cnf(refute_7_120,plain,
( op(e0,e0) != e1
| op(e0,e2) != e1
| op(e0,e0) = op(e0,e2) ),
introduced(tautology,[equality,[$cnf( ~ $equal(op(e0,e0),op(e0,e2)) ),[1],$fot(e1)]]) ).
cnf(refute_7_121,plain,
( op(e0,e0) != e1
| op(e0,e0) = op(e0,e2) ),
inference(resolve,[$cnf( $equal(op(e0,e2),e1) )],[refute_7_31,refute_7_120]) ).
cnf(refute_7_122,plain,
op(e0,e0) != e1,
inference(resolve,[$cnf( $equal(op(e0,e0),op(e0,e2)) )],[refute_7_121,refute_7_119]) ).
cnf(refute_7_123,plain,
op(e3,e3) = e1,
inference(resolve,[$cnf( $equal(op(e0,e0),e1) )],[refute_7_118,refute_7_122]) ).
cnf(refute_7_124,plain,
( op(e3,e3) != e1
| op(e3,e3) != e3
| e1 = e3 ),
introduced(tautology,[equality,[$cnf( $equal(op(e3,e3),e3) ),[0],$fot(e1)]]) ).
cnf(refute_7_125,plain,
( op(e3,e3) != e3
| e1 = e3 ),
inference(resolve,[$cnf( $equal(op(e3,e3),e1) )],[refute_7_123,refute_7_124]) ).
cnf(refute_7_126,plain,
( e1 = e3
| unit = e4 ),
inference(resolve,[$cnf( $equal(op(e3,e3),e3) )],[refute_7_81,refute_7_125]) ).
cnf(refute_7_127,plain,
unit = e4,
inference(resolve,[$cnf( $equal(e1,e3) )],[refute_7_126,refute_7_111]) ).
cnf(refute_7_128,plain,
op(e0,unit) = op(e0,unit),
introduced(tautology,[refl,[$fot(op(e0,unit))]]) ).
cnf(refute_7_129,plain,
( op(e0,unit) != op(e0,unit)
| unit != e4
| op(e0,unit) = op(e0,e4) ),
introduced(tautology,[equality,[$cnf( $equal(op(e0,unit),op(e0,unit)) ),[1,1],$fot(e4)]]) ).
cnf(refute_7_130,plain,
( unit != e4
| op(e0,unit) = op(e0,e4) ),
inference(resolve,[$cnf( $equal(op(e0,unit),op(e0,unit)) )],[refute_7_128,refute_7_129]) ).
cnf(refute_7_131,plain,
op(e0,unit) = op(e0,e4),
inference(resolve,[$cnf( $equal(unit,e4) )],[refute_7_127,refute_7_130]) ).
cnf(refute_7_132,plain,
( op(e0,unit) != e0
| op(e0,unit) != op(e0,e4)
| op(e0,e4) = e0 ),
introduced(tautology,[equality,[$cnf( $equal(op(e0,unit),e0) ),[0],$fot(op(e0,e4))]]) ).
cnf(refute_7_133,plain,
( op(e0,unit) != e0
| op(e0,e4) = e0 ),
inference(resolve,[$cnf( $equal(op(e0,unit),op(e0,e4)) )],[refute_7_131,refute_7_132]) ).
cnf(refute_7_134,plain,
op(e0,e4) = e0,
inference(resolve,[$cnf( $equal(op(e0,unit),e0) )],[refute_7_0,refute_7_133]) ).
cnf(refute_7_135,plain,
op(e4,unit) = e4,
inference(canonicalize,[],[normalize_7_22]) ).
cnf(refute_7_136,plain,
op(e4,unit) = op(e4,unit),
introduced(tautology,[refl,[$fot(op(e4,unit))]]) ).
cnf(refute_7_137,plain,
( op(e4,unit) != op(e4,unit)
| unit != e4
| op(e4,unit) = op(e4,e4) ),
introduced(tautology,[equality,[$cnf( $equal(op(e4,unit),op(e4,unit)) ),[1,1],$fot(e4)]]) ).
cnf(refute_7_138,plain,
( unit != e4
| op(e4,unit) = op(e4,e4) ),
inference(resolve,[$cnf( $equal(op(e4,unit),op(e4,unit)) )],[refute_7_136,refute_7_137]) ).
cnf(refute_7_139,plain,
op(e4,unit) = op(e4,e4),
inference(resolve,[$cnf( $equal(unit,e4) )],[refute_7_127,refute_7_138]) ).
cnf(refute_7_140,plain,
( op(e4,e4) != e2
| op(e4,unit) != op(e4,e4)
| op(e4,unit) = e2 ),
inference(subst,[],[refute_7_64:[bind(X,$fot(op(e4,unit))),bind(Y,$fot(op(e4,e4))),bind(Z,$fot(e2))]]) ).
cnf(refute_7_141,plain,
( op(e4,e4) != e2
| op(e4,unit) = e2 ),
inference(resolve,[$cnf( $equal(op(e4,unit),op(e4,e4)) )],[refute_7_139,refute_7_140]) ).
cnf(refute_7_142,plain,
op(e4,unit) = e2,
inference(resolve,[$cnf( $equal(op(e4,e4),e2) )],[refute_7_104,refute_7_141]) ).
cnf(refute_7_143,plain,
( op(e4,unit) != e2
| op(e4,unit) != e4
| e2 = e4 ),
introduced(tautology,[equality,[$cnf( $equal(op(e4,unit),e4) ),[0],$fot(e2)]]) ).
cnf(refute_7_144,plain,
( op(e4,unit) != e4
| e2 = e4 ),
inference(resolve,[$cnf( $equal(op(e4,unit),e2) )],[refute_7_142,refute_7_143]) ).
cnf(refute_7_145,plain,
e2 = e4,
inference(resolve,[$cnf( $equal(op(e4,unit),e4) )],[refute_7_135,refute_7_144]) ).
cnf(refute_7_146,plain,
( e2 != e4
| e4 = e2 ),
inference(subst,[],[refute_7_13:[bind(X,$fot(e2)),bind(Y,$fot(e4))]]) ).
cnf(refute_7_147,plain,
e4 = e2,
inference(resolve,[$cnf( $equal(e2,e4) )],[refute_7_145,refute_7_146]) ).
cnf(refute_7_148,plain,
op(e0,e4) = op(e0,e4),
introduced(tautology,[refl,[$fot(op(e0,e4))]]) ).
cnf(refute_7_149,plain,
( e4 != e2
| op(e0,e4) != op(e0,e4)
| op(e0,e4) = op(e0,e2) ),
introduced(tautology,[equality,[$cnf( $equal(op(e0,e4),op(e0,e4)) ),[1,1],$fot(e2)]]) ).
cnf(refute_7_150,plain,
( e4 != e2
| op(e0,e4) = op(e0,e2) ),
inference(resolve,[$cnf( $equal(op(e0,e4),op(e0,e4)) )],[refute_7_148,refute_7_149]) ).
cnf(refute_7_151,plain,
op(e0,e4) = op(e0,e2),
inference(resolve,[$cnf( $equal(e4,e2) )],[refute_7_147,refute_7_150]) ).
cnf(refute_7_152,plain,
( op(e0,e2) != e1
| op(e0,e4) != op(e0,e2)
| op(e0,e4) = e1 ),
inference(subst,[],[refute_7_64:[bind(X,$fot(op(e0,e4))),bind(Y,$fot(op(e0,e2))),bind(Z,$fot(e1))]]) ).
cnf(refute_7_153,plain,
( op(e0,e2) != e1
| op(e0,e4) = e1 ),
inference(resolve,[$cnf( $equal(op(e0,e4),op(e0,e2)) )],[refute_7_151,refute_7_152]) ).
cnf(refute_7_154,plain,
op(e0,e4) = e1,
inference(resolve,[$cnf( $equal(op(e0,e2),e1) )],[refute_7_31,refute_7_153]) ).
cnf(refute_7_155,plain,
( op(e0,e4) != e0
| op(e0,e4) != e1
| e1 = e0 ),
introduced(tautology,[equality,[$cnf( $equal(op(e0,e4),e0) ),[0],$fot(e1)]]) ).
cnf(refute_7_156,plain,
( op(e0,e4) != e0
| e1 = e0 ),
inference(resolve,[$cnf( $equal(op(e0,e4),e1) )],[refute_7_154,refute_7_155]) ).
cnf(refute_7_157,plain,
e1 = e0,
inference(resolve,[$cnf( $equal(op(e0,e4),e0) )],[refute_7_134,refute_7_156]) ).
cnf(refute_7_158,plain,
e0 != e1,
inference(canonicalize,[],[normalize_7_23]) ).
cnf(refute_7_159,plain,
( e1 != e0
| e0 = e1 ),
inference(subst,[],[refute_7_13:[bind(X,$fot(e1)),bind(Y,$fot(e0))]]) ).
cnf(refute_7_160,plain,
e1 != e0,
inference(resolve,[$cnf( $equal(e0,e1) )],[refute_7_159,refute_7_158]) ).
cnf(refute_7_161,plain,
$false,
inference(resolve,[$cnf( $equal(e1,e0) )],[refute_7_157,refute_7_160]) ).
fof(negate_8_0,plain,
~ ( ( ( op(e0,e0) = e0
| op(e1,e1) = e0
| op(e2,e2) = e0
| op(e3,e3) = e0
| op(e4,e4) = e0 )
& ( op(e0,e0) = e1
| op(e1,e1) = e1
| op(e2,e2) = e1
| op(e3,e3) = e1
| op(e4,e4) = e1 )
& ( op(e0,e0) = e2
| op(e1,e1) = e2
| op(e2,e2) = e2
| op(e3,e3) = e2
| op(e4,e4) = e2 )
& ( op(e0,e0) = e3
| op(e1,e1) = e3
| op(e2,e2) = e3
| op(e3,e3) = e3
| op(e4,e4) = e3 )
& ( op(e0,e0) = e4
| op(e1,e1) = e4
| op(e2,e2) = e4
| op(e3,e3) = e4
| op(e4,e4) = e4 )
& ~ ( op(e0,e0) != op(e0,e0)
& op(op(e0,e0),e0) = e0
& op(op(e0,e0),e0) != e0 )
& ~ ( op(e1,e0) != op(e0,e1)
& op(op(e0,e1),e1) = e0
& op(op(e0,e1),e0) != e1 )
& ~ ( op(e2,e0) != op(e0,e2)
& op(op(e0,e2),e2) = e0
& op(op(e0,e2),e0) != e2 )
& ~ ( op(e3,e0) != op(e0,e3)
& op(op(e0,e3),e3) = e0
& op(op(e0,e3),e0) != e3 )
& ~ ( op(e4,e0) != op(e0,e4)
& op(op(e0,e4),e4) = e0
& op(op(e0,e4),e0) != e4 )
& ~ ( op(e0,e1) != op(e1,e0)
& op(op(e1,e0),e0) = e1
& op(op(e1,e0),e1) != e0 )
& ~ ( op(e1,e1) != op(e1,e1)
& op(op(e1,e1),e1) = e1
& op(op(e1,e1),e1) != e1 )
& ~ ( op(e2,e1) != op(e1,e2)
& op(op(e1,e2),e2) = e1
& op(op(e1,e2),e1) != e2 )
& op(e3,e1) != op(e1,e3)
& op(op(e1,e3),e3) = e1 )
=> op(op(e1,e3),e1) = e3 ),
inference(negate,[],[subgoal_8]) ).
fof(normalize_8_0,plain,
( ( op(e0,e0) = e0
| op(e0,e1) = e0
| op(e0,e2) = e0
| op(e0,e3) = e0
| op(e0,e4) = e0 )
& ( op(e0,e0) = e0
| op(e1,e0) = e0
| op(e2,e0) = e0
| op(e3,e0) = e0
| op(e4,e0) = e0 )
& ( op(e0,e0) = e1
| op(e0,e1) = e1
| op(e0,e2) = e1
| op(e0,e3) = e1
| op(e0,e4) = e1 )
& ( op(e0,e0) = e1
| op(e1,e0) = e1
| op(e2,e0) = e1
| op(e3,e0) = e1
| op(e4,e0) = e1 )
& ( op(e0,e0) = e2
| op(e0,e1) = e2
| op(e0,e2) = e2
| op(e0,e3) = e2
| op(e0,e4) = e2 )
& ( op(e0,e0) = e2
| op(e1,e0) = e2
| op(e2,e0) = e2
| op(e3,e0) = e2
| op(e4,e0) = e2 )
& ( op(e0,e0) = e3
| op(e0,e1) = e3
| op(e0,e2) = e3
| op(e0,e3) = e3
| op(e0,e4) = e3 )
& ( op(e0,e0) = e3
| op(e1,e0) = e3
| op(e2,e0) = e3
| op(e3,e0) = e3
| op(e4,e0) = e3 )
& ( op(e0,e0) = e4
| op(e0,e1) = e4
| op(e0,e2) = e4
| op(e0,e3) = e4
| op(e0,e4) = e4 )
& ( op(e0,e0) = e4
| op(e1,e0) = e4
| op(e2,e0) = e4
| op(e3,e0) = e4
| op(e4,e0) = e4 )
& ( op(e0,e1) = e0
| op(e1,e1) = e0
| op(e2,e1) = e0
| op(e3,e1) = e0
| op(e4,e1) = e0 )
& ( op(e0,e1) = e1
| op(e1,e1) = e1
| op(e2,e1) = e1
| op(e3,e1) = e1
| op(e4,e1) = e1 )
& ( op(e0,e1) = e2
| op(e1,e1) = e2
| op(e2,e1) = e2
| op(e3,e1) = e2
| op(e4,e1) = e2 )
& ( op(e0,e1) = e3
| op(e1,e1) = e3
| op(e2,e1) = e3
| op(e3,e1) = e3
| op(e4,e1) = e3 )
& ( op(e0,e1) = e4
| op(e1,e1) = e4
| op(e2,e1) = e4
| op(e3,e1) = e4
| op(e4,e1) = e4 )
& ( op(e0,e2) = e0
| op(e1,e2) = e0
| op(e2,e2) = e0
| op(e3,e2) = e0
| op(e4,e2) = e0 )
& ( op(e0,e2) = e1
| op(e1,e2) = e1
| op(e2,e2) = e1
| op(e3,e2) = e1
| op(e4,e2) = e1 )
& ( op(e0,e2) = e2
| op(e1,e2) = e2
| op(e2,e2) = e2
| op(e3,e2) = e2
| op(e4,e2) = e2 )
& ( op(e0,e2) = e3
| op(e1,e2) = e3
| op(e2,e2) = e3
| op(e3,e2) = e3
| op(e4,e2) = e3 )
& ( op(e0,e2) = e4
| op(e1,e2) = e4
| op(e2,e2) = e4
| op(e3,e2) = e4
| op(e4,e2) = e4 )
& ( op(e0,e3) = e0
| op(e1,e3) = e0
| op(e2,e3) = e0
| op(e3,e3) = e0
| op(e4,e3) = e0 )
& ( op(e0,e3) = e1
| op(e1,e3) = e1
| op(e2,e3) = e1
| op(e3,e3) = e1
| op(e4,e3) = e1 )
& ( op(e0,e3) = e2
| op(e1,e3) = e2
| op(e2,e3) = e2
| op(e3,e3) = e2
| op(e4,e3) = e2 )
& ( op(e0,e3) = e3
| op(e1,e3) = e3
| op(e2,e3) = e3
| op(e3,e3) = e3
| op(e4,e3) = e3 )
& ( op(e0,e3) = e4
| op(e1,e3) = e4
| op(e2,e3) = e4
| op(e3,e3) = e4
| op(e4,e3) = e4 )
& ( op(e0,e4) = e0
| op(e1,e4) = e0
| op(e2,e4) = e0
| op(e3,e4) = e0
| op(e4,e4) = e0 )
& ( op(e0,e4) = e1
| op(e1,e4) = e1
| op(e2,e4) = e1
| op(e3,e4) = e1
| op(e4,e4) = e1 )
& ( op(e0,e4) = e2
| op(e1,e4) = e2
| op(e2,e4) = e2
| op(e3,e4) = e2
| op(e4,e4) = e2 )
& ( op(e0,e4) = e3
| op(e1,e4) = e3
| op(e2,e4) = e3
| op(e3,e4) = e3
| op(e4,e4) = e3 )
& ( op(e0,e4) = e4
| op(e1,e4) = e4
| op(e2,e4) = e4
| op(e3,e4) = e4
| op(e4,e4) = e4 )
& ( op(e1,e0) = e0
| op(e1,e1) = e0
| op(e1,e2) = e0
| op(e1,e3) = e0
| op(e1,e4) = e0 )
& ( op(e1,e0) = e1
| op(e1,e1) = e1
| op(e1,e2) = e1
| op(e1,e3) = e1
| op(e1,e4) = e1 )
& ( op(e1,e0) = e2
| op(e1,e1) = e2
| op(e1,e2) = e2
| op(e1,e3) = e2
| op(e1,e4) = e2 )
& ( op(e1,e0) = e3
| op(e1,e1) = e3
| op(e1,e2) = e3
| op(e1,e3) = e3
| op(e1,e4) = e3 )
& ( op(e1,e0) = e4
| op(e1,e1) = e4
| op(e1,e2) = e4
| op(e1,e3) = e4
| op(e1,e4) = e4 )
& ( op(e2,e0) = e0
| op(e2,e1) = e0
| op(e2,e2) = e0
| op(e2,e3) = e0
| op(e2,e4) = e0 )
& ( op(e2,e0) = e1
| op(e2,e1) = e1
| op(e2,e2) = e1
| op(e2,e3) = e1
| op(e2,e4) = e1 )
& ( op(e2,e0) = e2
| op(e2,e1) = e2
| op(e2,e2) = e2
| op(e2,e3) = e2
| op(e2,e4) = e2 )
& ( op(e2,e0) = e3
| op(e2,e1) = e3
| op(e2,e2) = e3
| op(e2,e3) = e3
| op(e2,e4) = e3 )
& ( op(e2,e0) = e4
| op(e2,e1) = e4
| op(e2,e2) = e4
| op(e2,e3) = e4
| op(e2,e4) = e4 )
& ( op(e3,e0) = e0
| op(e3,e1) = e0
| op(e3,e2) = e0
| op(e3,e3) = e0
| op(e3,e4) = e0 )
& ( op(e3,e0) = e1
| op(e3,e1) = e1
| op(e3,e2) = e1
| op(e3,e3) = e1
| op(e3,e4) = e1 )
& ( op(e3,e0) = e2
| op(e3,e1) = e2
| op(e3,e2) = e2
| op(e3,e3) = e2
| op(e3,e4) = e2 )
& ( op(e3,e0) = e3
| op(e3,e1) = e3
| op(e3,e2) = e3
| op(e3,e3) = e3
| op(e3,e4) = e3 )
& ( op(e3,e0) = e4
| op(e3,e1) = e4
| op(e3,e2) = e4
| op(e3,e3) = e4
| op(e3,e4) = e4 )
& ( op(e4,e0) = e0
| op(e4,e1) = e0
| op(e4,e2) = e0
| op(e4,e3) = e0
| op(e4,e4) = e0 )
& ( op(e4,e0) = e1
| op(e4,e1) = e1
| op(e4,e2) = e1
| op(e4,e3) = e1
| op(e4,e4) = e1 )
& ( op(e4,e0) = e2
| op(e4,e1) = e2
| op(e4,e2) = e2
| op(e4,e3) = e2
| op(e4,e4) = e2 )
& ( op(e4,e0) = e3
| op(e4,e1) = e3
| op(e4,e2) = e3
| op(e4,e3) = e3
| op(e4,e4) = e3 )
& ( op(e4,e0) = e4
| op(e4,e1) = e4
| op(e4,e2) = e4
| op(e4,e3) = e4
| op(e4,e4) = e4 ) ),
inference(canonicalize,[],[ax3]) ).
fof(normalize_8_1,plain,
( op(e0,e3) = e2
| op(e1,e3) = e2
| op(e2,e3) = e2
| op(e3,e3) = e2
| op(e4,e3) = e2 ),
inference(conjunct,[],[normalize_8_0]) ).
fof(normalize_8_2,plain,
( op(e0,unit) = e0
& op(e1,unit) = e1
& op(e2,unit) = e2
& op(e3,unit) = e3
& op(e4,unit) = e4
& op(unit,e0) = e0
& op(unit,e1) = e1
& op(unit,e2) = e2
& op(unit,e3) = e3
& op(unit,e4) = e4
& ( unit = e0
| unit = e1
| unit = e2
| unit = e3
| unit = e4 ) ),
inference(canonicalize,[],[ax2]) ).
fof(normalize_8_3,plain,
op(unit,e3) = e3,
inference(conjunct,[],[normalize_8_2]) ).
fof(normalize_8_4,plain,
( op(e3,e1) != op(e1,e3)
& op(op(e1,e3),e1) != e3
& op(op(e1,e3),e3) = e1
& ( op(op(e0,e1),e1) != e0
| op(e1,e0) = op(e0,e1)
| op(op(e0,e1),e0) = e1 )
& ( op(op(e0,e2),e2) != e0
| op(e2,e0) = op(e0,e2)
| op(op(e0,e2),e0) = e2 )
& ( op(op(e0,e3),e3) != e0
| op(e3,e0) = op(e0,e3)
| op(op(e0,e3),e0) = e3 )
& ( op(op(e0,e4),e4) != e0
| op(e4,e0) = op(e0,e4)
| op(op(e0,e4),e0) = e4 )
& ( op(op(e1,e0),e0) != e1
| op(e0,e1) = op(e1,e0)
| op(op(e1,e0),e1) = e0 )
& ( op(op(e1,e2),e2) != e1
| op(e2,e1) = op(e1,e2)
| op(op(e1,e2),e1) = e2 )
& ( op(e0,e0) = e0
| op(e1,e1) = e0
| op(e2,e2) = e0
| op(e3,e3) = e0
| op(e4,e4) = e0 )
& ( op(e0,e0) = e1
| op(e1,e1) = e1
| op(e2,e2) = e1
| op(e3,e3) = e1
| op(e4,e4) = e1 )
& ( op(e0,e0) = e2
| op(e1,e1) = e2
| op(e2,e2) = e2
| op(e3,e3) = e2
| op(e4,e4) = e2 )
& ( op(e0,e0) = e3
| op(e1,e1) = e3
| op(e2,e2) = e3
| op(e3,e3) = e3
| op(e4,e4) = e3 )
& ( op(e0,e0) = e4
| op(e1,e1) = e4
| op(e2,e2) = e4
| op(e3,e3) = e4
| op(e4,e4) = e4 ) ),
inference(canonicalize,[],[negate_8_0]) ).
fof(normalize_8_5,plain,
op(e3,e1) != op(e1,e3),
inference(conjunct,[],[normalize_8_4]) ).
fof(normalize_8_6,plain,
op(unit,e1) = e1,
inference(conjunct,[],[normalize_8_2]) ).
fof(normalize_8_7,plain,
op(e2,unit) = e2,
inference(conjunct,[],[normalize_8_2]) ).
fof(normalize_8_8,plain,
op(unit,e4) = e4,
inference(conjunct,[],[normalize_8_2]) ).
fof(normalize_8_9,plain,
( unit = e0
| unit = e1
| unit = e2
| unit = e3
| unit = e4 ),
inference(conjunct,[],[normalize_8_2]) ).
fof(normalize_8_10,plain,
( op(e0,e0) != op(e0,e1)
& op(e0,e0) != op(e0,e2)
& op(e0,e0) != op(e0,e3)
& op(e0,e0) != op(e0,e4)
& op(e0,e0) != op(e1,e0)
& op(e0,e0) != op(e2,e0)
& op(e0,e0) != op(e3,e0)
& op(e0,e0) != op(e4,e0)
& op(e0,e1) != op(e0,e2)
& op(e0,e1) != op(e0,e3)
& op(e0,e1) != op(e0,e4)
& op(e0,e1) != op(e1,e1)
& op(e0,e1) != op(e2,e1)
& op(e0,e1) != op(e3,e1)
& op(e0,e1) != op(e4,e1)
& op(e0,e2) != op(e0,e3)
& op(e0,e2) != op(e0,e4)
& op(e0,e2) != op(e1,e2)
& op(e0,e2) != op(e2,e2)
& op(e0,e2) != op(e3,e2)
& op(e0,e2) != op(e4,e2)
& op(e0,e3) != op(e0,e4)
& op(e0,e3) != op(e1,e3)
& op(e0,e3) != op(e2,e3)
& op(e0,e3) != op(e3,e3)
& op(e0,e3) != op(e4,e3)
& op(e0,e4) != op(e1,e4)
& op(e0,e4) != op(e2,e4)
& op(e0,e4) != op(e3,e4)
& op(e0,e4) != op(e4,e4)
& op(e1,e0) != op(e1,e1)
& op(e1,e0) != op(e1,e2)
& op(e1,e0) != op(e1,e3)
& op(e1,e0) != op(e1,e4)
& op(e1,e0) != op(e2,e0)
& op(e1,e0) != op(e3,e0)
& op(e1,e0) != op(e4,e0)
& op(e1,e1) != op(e1,e2)
& op(e1,e1) != op(e1,e3)
& op(e1,e1) != op(e1,e4)
& op(e1,e1) != op(e2,e1)
& op(e1,e1) != op(e3,e1)
& op(e1,e1) != op(e4,e1)
& op(e1,e2) != op(e1,e3)
& op(e1,e2) != op(e1,e4)
& op(e1,e2) != op(e2,e2)
& op(e1,e2) != op(e3,e2)
& op(e1,e2) != op(e4,e2)
& op(e1,e3) != op(e1,e4)
& op(e1,e3) != op(e2,e3)
& op(e1,e3) != op(e3,e3)
& op(e1,e3) != op(e4,e3)
& op(e1,e4) != op(e2,e4)
& op(e1,e4) != op(e3,e4)
& op(e1,e4) != op(e4,e4)
& op(e2,e0) != op(e2,e1)
& op(e2,e0) != op(e2,e2)
& op(e2,e0) != op(e2,e3)
& op(e2,e0) != op(e2,e4)
& op(e2,e0) != op(e3,e0)
& op(e2,e0) != op(e4,e0)
& op(e2,e1) != op(e2,e2)
& op(e2,e1) != op(e2,e3)
& op(e2,e1) != op(e2,e4)
& op(e2,e1) != op(e3,e1)
& op(e2,e1) != op(e4,e1)
& op(e2,e2) != op(e2,e3)
& op(e2,e2) != op(e2,e4)
& op(e2,e2) != op(e3,e2)
& op(e2,e2) != op(e4,e2)
& op(e2,e3) != op(e2,e4)
& op(e2,e3) != op(e3,e3)
& op(e2,e3) != op(e4,e3)
& op(e2,e4) != op(e3,e4)
& op(e2,e4) != op(e4,e4)
& op(e3,e0) != op(e3,e1)
& op(e3,e0) != op(e3,e2)
& op(e3,e0) != op(e3,e3)
& op(e3,e0) != op(e3,e4)
& op(e3,e0) != op(e4,e0)
& op(e3,e1) != op(e3,e2)
& op(e3,e1) != op(e3,e3)
& op(e3,e1) != op(e3,e4)
& op(e3,e1) != op(e4,e1)
& op(e3,e2) != op(e3,e3)
& op(e3,e2) != op(e3,e4)
& op(e3,e2) != op(e4,e2)
& op(e3,e3) != op(e3,e4)
& op(e3,e3) != op(e4,e3)
& op(e3,e4) != op(e4,e4)
& op(e4,e0) != op(e4,e1)
& op(e4,e0) != op(e4,e2)
& op(e4,e0) != op(e4,e3)
& op(e4,e0) != op(e4,e4)
& op(e4,e1) != op(e4,e2)
& op(e4,e1) != op(e4,e3)
& op(e4,e1) != op(e4,e4)
& op(e4,e2) != op(e4,e3)
& op(e4,e2) != op(e4,e4)
& op(e4,e3) != op(e4,e4) ),
inference(canonicalize,[],[ax4]) ).
fof(normalize_8_11,plain,
op(e1,e1) != op(e1,e4),
inference(conjunct,[],[normalize_8_10]) ).
fof(normalize_8_12,plain,
( e0 = op(e1,op(op(e1,e1),op(e1,e1)))
& e2 = op(op(e1,e1),op(e1,e1))
& e3 = op(op(op(e1,e1),op(e1,e1)),op(op(e1,e1),op(e1,e1)))
& e4 = op(e1,e1) ),
inference(canonicalize,[],[ax6]) ).
fof(normalize_8_13,plain,
e4 = op(e1,e1),
inference(conjunct,[],[normalize_8_12]) ).
fof(normalize_8_14,plain,
e3 = op(op(op(e1,e1),op(e1,e1)),op(op(e1,e1),op(e1,e1))),
inference(conjunct,[],[normalize_8_12]) ).
fof(normalize_8_15,plain,
e2 = op(op(e1,e1),op(e1,e1)),
inference(conjunct,[],[normalize_8_12]) ).
fof(normalize_8_16,plain,
( e0 != e1
& e0 != e2
& e0 != e3
& e0 != e4
& e1 != e2
& e1 != e3
& e1 != e4
& e2 != e3
& e2 != e4
& e3 != e4 ),
inference(canonicalize,[],[ax5]) ).
fof(normalize_8_17,plain,
e2 != e3,
inference(conjunct,[],[normalize_8_16]) ).
fof(normalize_8_18,plain,
op(e2,e4) != op(e4,e4),
inference(conjunct,[],[normalize_8_10]) ).
fof(normalize_8_19,plain,
op(e1,unit) = e1,
inference(conjunct,[],[normalize_8_2]) ).
fof(normalize_8_20,plain,
( op(e2,e0) = e4
| op(e2,e1) = e4
| op(e2,e2) = e4
| op(e2,e3) = e4
| op(e2,e4) = e4 ),
inference(conjunct,[],[normalize_8_0]) ).
fof(normalize_8_21,plain,
e3 != e4,
inference(conjunct,[],[normalize_8_16]) ).
fof(normalize_8_22,plain,
op(e1,e1) != op(e2,e1),
inference(conjunct,[],[normalize_8_10]) ).
fof(normalize_8_23,plain,
e2 != e4,
inference(conjunct,[],[normalize_8_16]) ).
fof(normalize_8_24,plain,
op(e0,e4) != op(e2,e4),
inference(conjunct,[],[normalize_8_10]) ).
fof(normalize_8_25,plain,
( op(e0,e0) = e1
| op(e1,e1) = e1
| op(e2,e2) = e1
| op(e3,e3) = e1
| op(e4,e4) = e1 ),
inference(conjunct,[],[normalize_8_4]) ).
fof(normalize_8_26,plain,
e1 != e2,
inference(conjunct,[],[normalize_8_16]) ).
fof(normalize_8_27,plain,
e1 != e3,
inference(conjunct,[],[normalize_8_16]) ).
fof(normalize_8_28,plain,
e1 != e4,
inference(conjunct,[],[normalize_8_16]) ).
fof(normalize_8_29,plain,
op(e0,unit) = e0,
inference(conjunct,[],[normalize_8_2]) ).
fof(normalize_8_30,plain,
e0 != e1,
inference(conjunct,[],[normalize_8_16]) ).
fof(normalize_8_31,plain,
( op(e0,e1) = e2
| op(e1,e1) = e2
| op(e2,e1) = e2
| op(e3,e1) = e2
| op(e4,e1) = e2 ),
inference(conjunct,[],[normalize_8_0]) ).
fof(normalize_8_32,plain,
op(e4,e1) != op(e4,e4),
inference(conjunct,[],[normalize_8_10]) ).
fof(normalize_8_33,plain,
op(e2,e0) != op(e2,e1),
inference(conjunct,[],[normalize_8_10]) ).
fof(normalize_8_34,plain,
op(e4,e3) != op(e4,e4),
inference(conjunct,[],[normalize_8_10]) ).
cnf(refute_8_0,plain,
( op(e0,e3) = e2
| op(e1,e3) = e2
| op(e2,e3) = e2
| op(e3,e3) = e2
| op(e4,e3) = e2 ),
inference(canonicalize,[],[normalize_8_1]) ).
cnf(refute_8_1,plain,
op(unit,e3) = e3,
inference(canonicalize,[],[normalize_8_3]) ).
cnf(refute_8_2,plain,
op(e3,e1) != op(e1,e3),
inference(canonicalize,[],[normalize_8_5]) ).
cnf(refute_8_3,plain,
op(unit,e1) = e1,
inference(canonicalize,[],[normalize_8_6]) ).
cnf(refute_8_4,plain,
op(e2,unit) = e2,
inference(canonicalize,[],[normalize_8_7]) ).
cnf(refute_8_5,plain,
op(unit,e4) = e4,
inference(canonicalize,[],[normalize_8_8]) ).
cnf(refute_8_6,plain,
( unit = e0
| unit = e1
| unit = e2
| unit = e3
| unit = e4 ),
inference(canonicalize,[],[normalize_8_9]) ).
cnf(refute_8_7,plain,
( op(unit,e4) != e4
| unit != e1
| op(e1,e4) = e4 ),
introduced(tautology,[equality,[$cnf( $equal(op(unit,e4),e4) ),[0,0],$fot(e1)]]) ).
cnf(refute_8_8,plain,
( op(unit,e4) != e4
| op(e1,e4) = e4
| unit = e0
| unit = e2
| unit = e3
| unit = e4 ),
inference(resolve,[$cnf( $equal(unit,e1) )],[refute_8_6,refute_8_7]) ).
cnf(refute_8_9,plain,
( op(e1,e4) = e4
| unit = e0
| unit = e2
| unit = e3
| unit = e4 ),
inference(resolve,[$cnf( $equal(op(unit,e4),e4) )],[refute_8_5,refute_8_8]) ).
cnf(refute_8_10,plain,
op(e1,e1) != op(e1,e4),
inference(canonicalize,[],[normalize_8_11]) ).
cnf(refute_8_11,plain,
e4 = op(e1,e1),
inference(canonicalize,[],[normalize_8_13]) ).
cnf(refute_8_12,plain,
X = X,
introduced(tautology,[refl,[$fot(X)]]) ).
cnf(refute_8_13,plain,
( X != X
| X != Y
| Y = X ),
introduced(tautology,[equality,[$cnf( $equal(X,X) ),[0],$fot(Y)]]) ).
cnf(refute_8_14,plain,
( X != Y
| Y = X ),
inference(resolve,[$cnf( $equal(X,X) )],[refute_8_12,refute_8_13]) ).
cnf(refute_8_15,plain,
( e4 != op(e1,e1)
| op(e1,e1) = e4 ),
inference(subst,[],[refute_8_14:[bind(X,$fot(e4)),bind(Y,$fot(op(e1,e1)))]]) ).
cnf(refute_8_16,plain,
op(e1,e1) = e4,
inference(resolve,[$cnf( $equal(e4,op(e1,e1)) )],[refute_8_11,refute_8_15]) ).
cnf(refute_8_17,plain,
( e4 != op(e1,e4)
| op(e1,e1) != e4
| op(e1,e1) = op(e1,e4) ),
introduced(tautology,[equality,[$cnf( $equal(op(e1,e1),e4) ),[1],$fot(op(e1,e4))]]) ).
cnf(refute_8_18,plain,
( e4 != op(e1,e4)
| op(e1,e1) = op(e1,e4) ),
inference(resolve,[$cnf( $equal(op(e1,e1),e4) )],[refute_8_16,refute_8_17]) ).
cnf(refute_8_19,plain,
e4 != op(e1,e4),
inference(resolve,[$cnf( $equal(op(e1,e1),op(e1,e4)) )],[refute_8_18,refute_8_10]) ).
cnf(refute_8_20,plain,
( op(e1,e4) != e4
| e4 = op(e1,e4) ),
inference(subst,[],[refute_8_14:[bind(X,$fot(op(e1,e4))),bind(Y,$fot(e4))]]) ).
cnf(refute_8_21,plain,
op(e1,e4) != e4,
inference(resolve,[$cnf( $equal(e4,op(e1,e4)) )],[refute_8_20,refute_8_19]) ).
cnf(refute_8_22,plain,
( unit = e0
| unit = e2
| unit = e3
| unit = e4 ),
inference(resolve,[$cnf( $equal(op(e1,e4),e4) )],[refute_8_9,refute_8_21]) ).
cnf(refute_8_23,plain,
( op(e2,unit) != e2
| unit != e2
| op(e2,e2) = e2 ),
introduced(tautology,[equality,[$cnf( $equal(op(e2,unit),e2) ),[0,1],$fot(e2)]]) ).
cnf(refute_8_24,plain,
( op(e2,unit) != e2
| op(e2,e2) = e2
| unit = e0
| unit = e3
| unit = e4 ),
inference(resolve,[$cnf( $equal(unit,e2) )],[refute_8_22,refute_8_23]) ).
cnf(refute_8_25,plain,
( op(e2,e2) = e2
| unit = e0
| unit = e3
| unit = e4 ),
inference(resolve,[$cnf( $equal(op(e2,unit),e2) )],[refute_8_4,refute_8_24]) ).
cnf(refute_8_26,plain,
e3 = op(op(op(e1,e1),op(e1,e1)),op(op(e1,e1),op(e1,e1))),
inference(canonicalize,[],[normalize_8_14]) ).
cnf(refute_8_27,plain,
e2 = op(op(e1,e1),op(e1,e1)),
inference(canonicalize,[],[normalize_8_15]) ).
cnf(refute_8_28,plain,
( e2 != op(op(e1,e1),op(e1,e1))
| op(op(e1,e1),op(e1,e1)) = e2 ),
inference(subst,[],[refute_8_14:[bind(X,$fot(e2)),bind(Y,$fot(op(op(e1,e1),op(e1,e1))))]]) ).
cnf(refute_8_29,plain,
op(op(e1,e1),op(e1,e1)) = e2,
inference(resolve,[$cnf( $equal(e2,op(op(e1,e1),op(e1,e1))) )],[refute_8_27,refute_8_28]) ).
cnf(refute_8_30,plain,
op(e2,op(op(e1,e1),op(e1,e1))) = op(e2,op(op(e1,e1),op(e1,e1))),
introduced(tautology,[refl,[$fot(op(e2,op(op(e1,e1),op(e1,e1))))]]) ).
cnf(refute_8_31,plain,
( op(e2,op(op(e1,e1),op(e1,e1))) != op(e2,op(op(e1,e1),op(e1,e1)))
| op(op(e1,e1),op(e1,e1)) != e2
| op(e2,op(op(e1,e1),op(e1,e1))) = op(e2,e2) ),
introduced(tautology,[equality,[$cnf( $equal(op(e2,op(op(e1,e1),op(e1,e1))),op(e2,op(op(e1,e1),op(e1,e1)))) ),[1,1],$fot(e2)]]) ).
cnf(refute_8_32,plain,
( op(op(e1,e1),op(e1,e1)) != e2
| op(e2,op(op(e1,e1),op(e1,e1))) = op(e2,e2) ),
inference(resolve,[$cnf( $equal(op(e2,op(op(e1,e1),op(e1,e1))),op(e2,op(op(e1,e1),op(e1,e1)))) )],[refute_8_30,refute_8_31]) ).
cnf(refute_8_33,plain,
op(e2,op(op(e1,e1),op(e1,e1))) = op(e2,e2),
inference(resolve,[$cnf( $equal(op(op(e1,e1),op(e1,e1)),e2) )],[refute_8_29,refute_8_32]) ).
cnf(refute_8_34,plain,
op(op(op(e1,e1),op(e1,e1)),op(op(e1,e1),op(e1,e1))) = op(op(op(e1,e1),op(e1,e1)),op(op(e1,e1),op(e1,e1))),
introduced(tautology,[refl,[$fot(op(op(op(e1,e1),op(e1,e1)),op(op(e1,e1),op(e1,e1))))]]) ).
cnf(refute_8_35,plain,
( op(op(e1,e1),op(e1,e1)) != e2
| op(op(op(e1,e1),op(e1,e1)),op(op(e1,e1),op(e1,e1))) != op(op(op(e1,e1),op(e1,e1)),op(op(e1,e1),op(e1,e1)))
| op(op(op(e1,e1),op(e1,e1)),op(op(e1,e1),op(e1,e1))) = op(e2,op(op(e1,e1),op(e1,e1))) ),
introduced(tautology,[equality,[$cnf( $equal(op(op(op(e1,e1),op(e1,e1)),op(op(e1,e1),op(e1,e1))),op(op(op(e1,e1),op(e1,e1)),op(op(e1,e1),op(e1,e1)))) ),[1,0],$fot(e2)]]) ).
cnf(refute_8_36,plain,
( op(op(e1,e1),op(e1,e1)) != e2
| op(op(op(e1,e1),op(e1,e1)),op(op(e1,e1),op(e1,e1))) = op(e2,op(op(e1,e1),op(e1,e1))) ),
inference(resolve,[$cnf( $equal(op(op(op(e1,e1),op(e1,e1)),op(op(e1,e1),op(e1,e1))),op(op(op(e1,e1),op(e1,e1)),op(op(e1,e1),op(e1,e1)))) )],[refute_8_34,refute_8_35]) ).
cnf(refute_8_37,plain,
op(op(op(e1,e1),op(e1,e1)),op(op(e1,e1),op(e1,e1))) = op(e2,op(op(e1,e1),op(e1,e1))),
inference(resolve,[$cnf( $equal(op(op(e1,e1),op(e1,e1)),e2) )],[refute_8_29,refute_8_36]) ).
cnf(refute_8_38,plain,
( Y != X
| Y != Z
| X = Z ),
introduced(tautology,[equality,[$cnf( $equal(Y,Z) ),[0],$fot(X)]]) ).
cnf(refute_8_39,plain,
( X != Y
| Y != Z
| X = Z ),
inference(resolve,[$cnf( $equal(Y,X) )],[refute_8_14,refute_8_38]) ).
cnf(refute_8_40,plain,
( op(e2,op(op(e1,e1),op(e1,e1))) != op(e2,e2)
| op(op(op(e1,e1),op(e1,e1)),op(op(e1,e1),op(e1,e1))) != op(e2,op(op(e1,e1),op(e1,e1)))
| op(op(op(e1,e1),op(e1,e1)),op(op(e1,e1),op(e1,e1))) = op(e2,e2) ),
inference(subst,[],[refute_8_39:[bind(X,$fot(op(op(op(e1,e1),op(e1,e1)),op(op(e1,e1),op(e1,e1))))),bind(Y,$fot(op(e2,op(op(e1,e1),op(e1,e1))))),bind(Z,$fot(op(e2,e2)))]]) ).
cnf(refute_8_41,plain,
( op(e2,op(op(e1,e1),op(e1,e1))) != op(e2,e2)
| op(op(op(e1,e1),op(e1,e1)),op(op(e1,e1),op(e1,e1))) = op(e2,e2) ),
inference(resolve,[$cnf( $equal(op(op(op(e1,e1),op(e1,e1)),op(op(e1,e1),op(e1,e1))),op(e2,op(op(e1,e1),op(e1,e1)))) )],[refute_8_37,refute_8_40]) ).
cnf(refute_8_42,plain,
op(op(op(e1,e1),op(e1,e1)),op(op(e1,e1),op(e1,e1))) = op(e2,e2),
inference(resolve,[$cnf( $equal(op(e2,op(op(e1,e1),op(e1,e1))),op(e2,e2)) )],[refute_8_33,refute_8_41]) ).
cnf(refute_8_43,plain,
( e3 != op(op(op(e1,e1),op(e1,e1)),op(op(e1,e1),op(e1,e1)))
| op(op(op(e1,e1),op(e1,e1)),op(op(e1,e1),op(e1,e1))) != op(e2,e2)
| e3 = op(e2,e2) ),
introduced(tautology,[equality,[$cnf( ~ $equal(e3,op(e2,e2)) ),[0],$fot(op(op(op(e1,e1),op(e1,e1)),op(op(e1,e1),op(e1,e1))))]]) ).
cnf(refute_8_44,plain,
( e3 != op(op(op(e1,e1),op(e1,e1)),op(op(e1,e1),op(e1,e1)))
| e3 = op(e2,e2) ),
inference(resolve,[$cnf( $equal(op(op(op(e1,e1),op(e1,e1)),op(op(e1,e1),op(e1,e1))),op(e2,e2)) )],[refute_8_42,refute_8_43]) ).
cnf(refute_8_45,plain,
e3 = op(e2,e2),
inference(resolve,[$cnf( $equal(e3,op(op(op(e1,e1),op(e1,e1)),op(op(e1,e1),op(e1,e1)))) )],[refute_8_26,refute_8_44]) ).
cnf(refute_8_46,plain,
( e3 != op(e2,e2)
| op(e2,e2) = e3 ),
inference(subst,[],[refute_8_14:[bind(X,$fot(e3)),bind(Y,$fot(op(e2,e2)))]]) ).
cnf(refute_8_47,plain,
op(e2,e2) = e3,
inference(resolve,[$cnf( $equal(e3,op(e2,e2)) )],[refute_8_45,refute_8_46]) ).
cnf(refute_8_48,plain,
( op(e2,e2) != e2
| op(e2,e2) != e3
| e3 = e2 ),
introduced(tautology,[equality,[$cnf( $equal(op(e2,e2),e2) ),[0],$fot(e3)]]) ).
cnf(refute_8_49,plain,
( op(e2,e2) != e2
| e3 = e2 ),
inference(resolve,[$cnf( $equal(op(e2,e2),e3) )],[refute_8_47,refute_8_48]) ).
cnf(refute_8_50,plain,
( e3 = e2
| unit = e0
| unit = e3
| unit = e4 ),
inference(resolve,[$cnf( $equal(op(e2,e2),e2) )],[refute_8_25,refute_8_49]) ).
cnf(refute_8_51,plain,
e2 != e3,
inference(canonicalize,[],[normalize_8_17]) ).
cnf(refute_8_52,plain,
( e3 != e2
| e2 = e3 ),
inference(subst,[],[refute_8_14:[bind(X,$fot(e3)),bind(Y,$fot(e2))]]) ).
cnf(refute_8_53,plain,
e3 != e2,
inference(resolve,[$cnf( $equal(e2,e3) )],[refute_8_52,refute_8_51]) ).
cnf(refute_8_54,plain,
( unit = e0
| unit = e3
| unit = e4 ),
inference(resolve,[$cnf( $equal(e3,e2) )],[refute_8_50,refute_8_53]) ).
cnf(refute_8_55,plain,
( op(e2,unit) != e2
| unit != e4
| op(e2,e4) = e2 ),
introduced(tautology,[equality,[$cnf( $equal(op(e2,unit),e2) ),[0,1],$fot(e4)]]) ).
cnf(refute_8_56,plain,
( op(e2,unit) != e2
| op(e2,e4) = e2
| unit = e0
| unit = e3 ),
inference(resolve,[$cnf( $equal(unit,e4) )],[refute_8_54,refute_8_55]) ).
cnf(refute_8_57,plain,
( op(e2,e4) = e2
| unit = e0
| unit = e3 ),
inference(resolve,[$cnf( $equal(op(e2,unit),e2) )],[refute_8_4,refute_8_56]) ).
cnf(refute_8_58,plain,
op(e2,e4) != op(e4,e4),
inference(canonicalize,[],[normalize_8_18]) ).
cnf(refute_8_59,plain,
op(e4,op(e1,e1)) = op(e4,op(e1,e1)),
introduced(tautology,[refl,[$fot(op(e4,op(e1,e1)))]]) ).
cnf(refute_8_60,plain,
( op(e1,e1) != e4
| op(e4,op(e1,e1)) != op(e4,op(e1,e1))
| op(e4,op(e1,e1)) = op(e4,e4) ),
introduced(tautology,[equality,[$cnf( $equal(op(e4,op(e1,e1)),op(e4,op(e1,e1))) ),[1,1],$fot(e4)]]) ).
cnf(refute_8_61,plain,
( op(e1,e1) != e4
| op(e4,op(e1,e1)) = op(e4,e4) ),
inference(resolve,[$cnf( $equal(op(e4,op(e1,e1)),op(e4,op(e1,e1))) )],[refute_8_59,refute_8_60]) ).
cnf(refute_8_62,plain,
op(e4,op(e1,e1)) = op(e4,e4),
inference(resolve,[$cnf( $equal(op(e1,e1),e4) )],[refute_8_16,refute_8_61]) ).
cnf(refute_8_63,plain,
op(op(e1,e1),op(e1,e1)) = op(op(e1,e1),op(e1,e1)),
introduced(tautology,[refl,[$fot(op(op(e1,e1),op(e1,e1)))]]) ).
cnf(refute_8_64,plain,
( op(e1,e1) != e4
| op(op(e1,e1),op(e1,e1)) != op(op(e1,e1),op(e1,e1))
| op(op(e1,e1),op(e1,e1)) = op(e4,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(e4)]]) ).
cnf(refute_8_65,plain,
( op(e1,e1) != e4
| op(op(e1,e1),op(e1,e1)) = op(e4,op(e1,e1)) ),
inference(resolve,[$cnf( $equal(op(op(e1,e1),op(e1,e1)),op(op(e1,e1),op(e1,e1))) )],[refute_8_63,refute_8_64]) ).
cnf(refute_8_66,plain,
op(op(e1,e1),op(e1,e1)) = op(e4,op(e1,e1)),
inference(resolve,[$cnf( $equal(op(e1,e1),e4) )],[refute_8_16,refute_8_65]) ).
cnf(refute_8_67,plain,
( op(e4,op(e1,e1)) != op(e4,e4)
| op(op(e1,e1),op(e1,e1)) != op(e4,op(e1,e1))
| op(op(e1,e1),op(e1,e1)) = op(e4,e4) ),
inference(subst,[],[refute_8_39:[bind(X,$fot(op(op(e1,e1),op(e1,e1)))),bind(Y,$fot(op(e4,op(e1,e1)))),bind(Z,$fot(op(e4,e4)))]]) ).
cnf(refute_8_68,plain,
( op(e4,op(e1,e1)) != op(e4,e4)
| op(op(e1,e1),op(e1,e1)) = op(e4,e4) ),
inference(resolve,[$cnf( $equal(op(op(e1,e1),op(e1,e1)),op(e4,op(e1,e1))) )],[refute_8_66,refute_8_67]) ).
cnf(refute_8_69,plain,
op(op(e1,e1),op(e1,e1)) = op(e4,e4),
inference(resolve,[$cnf( $equal(op(e4,op(e1,e1)),op(e4,e4)) )],[refute_8_62,refute_8_68]) ).
cnf(refute_8_70,plain,
( e2 != op(op(e1,e1),op(e1,e1))
| op(op(e1,e1),op(e1,e1)) != op(e4,e4)
| e2 = op(e4,e4) ),
introduced(tautology,[equality,[$cnf( ~ $equal(e2,op(e4,e4)) ),[0],$fot(op(op(e1,e1),op(e1,e1)))]]) ).
cnf(refute_8_71,plain,
( e2 != op(op(e1,e1),op(e1,e1))
| e2 = op(e4,e4) ),
inference(resolve,[$cnf( $equal(op(op(e1,e1),op(e1,e1)),op(e4,e4)) )],[refute_8_69,refute_8_70]) ).
cnf(refute_8_72,plain,
e2 = op(e4,e4),
inference(resolve,[$cnf( $equal(e2,op(op(e1,e1),op(e1,e1))) )],[refute_8_27,refute_8_71]) ).
cnf(refute_8_73,plain,
( e2 != op(e4,e4)
| op(e4,e4) = e2 ),
inference(subst,[],[refute_8_14:[bind(X,$fot(e2)),bind(Y,$fot(op(e4,e4)))]]) ).
cnf(refute_8_74,plain,
op(e4,e4) = e2,
inference(resolve,[$cnf( $equal(e2,op(e4,e4)) )],[refute_8_72,refute_8_73]) ).
cnf(refute_8_75,plain,
( op(e2,e4) != e2
| op(e4,e4) != e2
| op(e2,e4) = op(e4,e4) ),
introduced(tautology,[equality,[$cnf( ~ $equal(op(e2,e4),op(e4,e4)) ),[1],$fot(e2)]]) ).
cnf(refute_8_76,plain,
( op(e2,e4) != e2
| op(e2,e4) = op(e4,e4) ),
inference(resolve,[$cnf( $equal(op(e4,e4),e2) )],[refute_8_74,refute_8_75]) ).
cnf(refute_8_77,plain,
op(e2,e4) != e2,
inference(resolve,[$cnf( $equal(op(e2,e4),op(e4,e4)) )],[refute_8_76,refute_8_58]) ).
cnf(refute_8_78,plain,
( unit = e0
| unit = e3 ),
inference(resolve,[$cnf( $equal(op(e2,e4),e2) )],[refute_8_57,refute_8_77]) ).
cnf(refute_8_79,plain,
( op(unit,e1) != e1
| unit != e3
| op(e3,e1) = e1 ),
introduced(tautology,[equality,[$cnf( $equal(op(unit,e1),e1) ),[0,0],$fot(e3)]]) ).
cnf(refute_8_80,plain,
( op(unit,e1) != e1
| op(e3,e1) = e1
| unit = e0 ),
inference(resolve,[$cnf( $equal(unit,e3) )],[refute_8_78,refute_8_79]) ).
cnf(refute_8_81,plain,
( op(e3,e1) = e1
| unit = e0 ),
inference(resolve,[$cnf( $equal(op(unit,e1),e1) )],[refute_8_3,refute_8_80]) ).
cnf(refute_8_82,plain,
( e1 != op(e1,e3)
| op(e3,e1) != e1
| op(e3,e1) = op(e1,e3) ),
introduced(tautology,[equality,[$cnf( $equal(op(e3,e1),e1) ),[1],$fot(op(e1,e3))]]) ).
cnf(refute_8_83,plain,
( e1 != op(e1,e3)
| op(e3,e1) = op(e1,e3)
| unit = e0 ),
inference(resolve,[$cnf( $equal(op(e3,e1),e1) )],[refute_8_81,refute_8_82]) ).
cnf(refute_8_84,plain,
( e1 != op(e1,e3)
| unit = e0 ),
inference(resolve,[$cnf( $equal(op(e3,e1),op(e1,e3)) )],[refute_8_83,refute_8_2]) ).
cnf(refute_8_85,plain,
op(e1,unit) = e1,
inference(canonicalize,[],[normalize_8_19]) ).
cnf(refute_8_86,plain,
( op(e1,unit) != e1
| unit != e3
| op(e1,e3) = e1 ),
introduced(tautology,[equality,[$cnf( $equal(op(e1,unit),e1) ),[0,1],$fot(e3)]]) ).
cnf(refute_8_87,plain,
( op(e1,unit) != e1
| op(e1,e3) = e1
| unit = e0 ),
inference(resolve,[$cnf( $equal(unit,e3) )],[refute_8_78,refute_8_86]) ).
cnf(refute_8_88,plain,
( op(e1,e3) = e1
| unit = e0 ),
inference(resolve,[$cnf( $equal(op(e1,unit),e1) )],[refute_8_85,refute_8_87]) ).
cnf(refute_8_89,plain,
( e1 != e1
| op(e1,e3) != e1
| e1 = op(e1,e3) ),
introduced(tautology,[equality,[$cnf( ~ $equal(e1,op(e1,e3)) ),[1],$fot(e1)]]) ).
cnf(refute_8_90,plain,
( e1 != e1
| e1 = op(e1,e3)
| unit = e0 ),
inference(resolve,[$cnf( $equal(op(e1,e3),e1) )],[refute_8_88,refute_8_89]) ).
cnf(refute_8_91,plain,
( e1 != e1
| unit = e0 ),
inference(resolve,[$cnf( $equal(e1,op(e1,e3)) )],[refute_8_90,refute_8_84]) ).
cnf(refute_8_92,plain,
e1 = e1,
introduced(tautology,[refl,[$fot(e1)]]) ).
cnf(refute_8_93,plain,
unit = e0,
inference(resolve,[$cnf( $equal(e1,e1) )],[refute_8_92,refute_8_91]) ).
cnf(refute_8_94,plain,
op(unit,e3) = op(unit,e3),
introduced(tautology,[refl,[$fot(op(unit,e3))]]) ).
cnf(refute_8_95,plain,
( op(unit,e3) != op(unit,e3)
| unit != e0
| op(unit,e3) = op(e0,e3) ),
introduced(tautology,[equality,[$cnf( $equal(op(unit,e3),op(unit,e3)) ),[1,0],$fot(e0)]]) ).
cnf(refute_8_96,plain,
( unit != e0
| op(unit,e3) = op(e0,e3) ),
inference(resolve,[$cnf( $equal(op(unit,e3),op(unit,e3)) )],[refute_8_94,refute_8_95]) ).
cnf(refute_8_97,plain,
op(unit,e3) = op(e0,e3),
inference(resolve,[$cnf( $equal(unit,e0) )],[refute_8_93,refute_8_96]) ).
cnf(refute_8_98,plain,
( op(unit,e3) != e3
| op(unit,e3) != op(e0,e3)
| op(e0,e3) = e3 ),
introduced(tautology,[equality,[$cnf( $equal(op(unit,e3),e3) ),[0],$fot(op(e0,e3))]]) ).
cnf(refute_8_99,plain,
( op(unit,e3) != e3
| op(e0,e3) = e3 ),
inference(resolve,[$cnf( $equal(op(unit,e3),op(e0,e3)) )],[refute_8_97,refute_8_98]) ).
cnf(refute_8_100,plain,
op(e0,e3) = e3,
inference(resolve,[$cnf( $equal(op(unit,e3),e3) )],[refute_8_1,refute_8_99]) ).
cnf(refute_8_101,plain,
( op(e0,e3) != e2
| op(e0,e3) != e3
| e3 = e2 ),
introduced(tautology,[equality,[$cnf( $equal(op(e0,e3),e2) ),[0],$fot(e3)]]) ).
cnf(refute_8_102,plain,
( op(e0,e3) != e2
| e3 = e2 ),
inference(resolve,[$cnf( $equal(op(e0,e3),e3) )],[refute_8_100,refute_8_101]) ).
cnf(refute_8_103,plain,
( e3 = e2
| op(e1,e3) = e2
| op(e2,e3) = e2
| op(e3,e3) = e2
| op(e4,e3) = e2 ),
inference(resolve,[$cnf( $equal(op(e0,e3),e2) )],[refute_8_0,refute_8_102]) ).
cnf(refute_8_104,plain,
( op(e2,e0) = e4
| op(e2,e1) = e4
| op(e2,e2) = e4
| op(e2,e3) = e4
| op(e2,e4) = e4 ),
inference(canonicalize,[],[normalize_8_20]) ).
cnf(refute_8_105,plain,
( op(e2,e2) != e3
| op(e2,e2) != e4
| e3 = e4 ),
introduced(tautology,[equality,[$cnf( $equal(op(e2,e2),e4) ),[0],$fot(e3)]]) ).
cnf(refute_8_106,plain,
( op(e2,e2) != e4
| e3 = e4 ),
inference(resolve,[$cnf( $equal(op(e2,e2),e3) )],[refute_8_47,refute_8_105]) ).
cnf(refute_8_107,plain,
( e3 = e4
| op(e2,e0) = e4
| op(e2,e1) = e4
| op(e2,e3) = e4
| op(e2,e4) = e4 ),
inference(resolve,[$cnf( $equal(op(e2,e2),e4) )],[refute_8_104,refute_8_106]) ).
cnf(refute_8_108,plain,
e3 != e4,
inference(canonicalize,[],[normalize_8_21]) ).
cnf(refute_8_109,plain,
( op(e2,e0) = e4
| op(e2,e1) = e4
| op(e2,e3) = e4
| op(e2,e4) = e4 ),
inference(resolve,[$cnf( $equal(e3,e4) )],[refute_8_107,refute_8_108]) ).
cnf(refute_8_110,plain,
op(e1,e1) != op(e2,e1),
inference(canonicalize,[],[normalize_8_22]) ).
cnf(refute_8_111,plain,
( e4 != op(e2,e1)
| op(e1,e1) != e4
| op(e1,e1) = op(e2,e1) ),
introduced(tautology,[equality,[$cnf( $equal(op(e1,e1),e4) ),[1],$fot(op(e2,e1))]]) ).
cnf(refute_8_112,plain,
( e4 != op(e2,e1)
| op(e1,e1) = op(e2,e1) ),
inference(resolve,[$cnf( $equal(op(e1,e1),e4) )],[refute_8_16,refute_8_111]) ).
cnf(refute_8_113,plain,
e4 != op(e2,e1),
inference(resolve,[$cnf( $equal(op(e1,e1),op(e2,e1)) )],[refute_8_112,refute_8_110]) ).
cnf(refute_8_114,plain,
( op(e2,e1) != e4
| e4 = op(e2,e1) ),
inference(subst,[],[refute_8_14:[bind(X,$fot(op(e2,e1))),bind(Y,$fot(e4))]]) ).
cnf(refute_8_115,plain,
op(e2,e1) != e4,
inference(resolve,[$cnf( $equal(e4,op(e2,e1)) )],[refute_8_114,refute_8_113]) ).
cnf(refute_8_116,plain,
( op(e2,e0) = e4
| op(e2,e3) = e4
| op(e2,e4) = e4 ),
inference(resolve,[$cnf( $equal(op(e2,e1),e4) )],[refute_8_109,refute_8_115]) ).
cnf(refute_8_117,plain,
op(e2,unit) = op(e2,unit),
introduced(tautology,[refl,[$fot(op(e2,unit))]]) ).
cnf(refute_8_118,plain,
( op(e2,unit) != op(e2,unit)
| unit != e0
| op(e2,unit) = op(e2,e0) ),
introduced(tautology,[equality,[$cnf( $equal(op(e2,unit),op(e2,unit)) ),[1,1],$fot(e0)]]) ).
cnf(refute_8_119,plain,
( unit != e0
| op(e2,unit) = op(e2,e0) ),
inference(resolve,[$cnf( $equal(op(e2,unit),op(e2,unit)) )],[refute_8_117,refute_8_118]) ).
cnf(refute_8_120,plain,
op(e2,unit) = op(e2,e0),
inference(resolve,[$cnf( $equal(unit,e0) )],[refute_8_93,refute_8_119]) ).
cnf(refute_8_121,plain,
( op(e2,unit) != e2
| op(e2,unit) != op(e2,e0)
| op(e2,e0) = e2 ),
introduced(tautology,[equality,[$cnf( $equal(op(e2,unit),e2) ),[0],$fot(op(e2,e0))]]) ).
cnf(refute_8_122,plain,
( op(e2,unit) != e2
| op(e2,e0) = e2 ),
inference(resolve,[$cnf( $equal(op(e2,unit),op(e2,e0)) )],[refute_8_120,refute_8_121]) ).
cnf(refute_8_123,plain,
op(e2,e0) = e2,
inference(resolve,[$cnf( $equal(op(e2,unit),e2) )],[refute_8_4,refute_8_122]) ).
cnf(refute_8_124,plain,
( op(e2,e0) != e2
| op(e2,e0) != e4
| e2 = e4 ),
introduced(tautology,[equality,[$cnf( $equal(op(e2,e0),e4) ),[0],$fot(e2)]]) ).
cnf(refute_8_125,plain,
( op(e2,e0) != e4
| e2 = e4 ),
inference(resolve,[$cnf( $equal(op(e2,e0),e2) )],[refute_8_123,refute_8_124]) ).
cnf(refute_8_126,plain,
( e2 = e4
| op(e2,e3) = e4
| op(e2,e4) = e4 ),
inference(resolve,[$cnf( $equal(op(e2,e0),e4) )],[refute_8_116,refute_8_125]) ).
cnf(refute_8_127,plain,
e2 != e4,
inference(canonicalize,[],[normalize_8_23]) ).
cnf(refute_8_128,plain,
( op(e2,e3) = e4
| op(e2,e4) = e4 ),
inference(resolve,[$cnf( $equal(e2,e4) )],[refute_8_126,refute_8_127]) ).
cnf(refute_8_129,plain,
op(e0,e4) != op(e2,e4),
inference(canonicalize,[],[normalize_8_24]) ).
cnf(refute_8_130,plain,
op(unit,e4) = op(unit,e4),
introduced(tautology,[refl,[$fot(op(unit,e4))]]) ).
cnf(refute_8_131,plain,
( op(unit,e4) != op(unit,e4)
| unit != e0
| op(unit,e4) = op(e0,e4) ),
introduced(tautology,[equality,[$cnf( $equal(op(unit,e4),op(unit,e4)) ),[1,0],$fot(e0)]]) ).
cnf(refute_8_132,plain,
( unit != e0
| op(unit,e4) = op(e0,e4) ),
inference(resolve,[$cnf( $equal(op(unit,e4),op(unit,e4)) )],[refute_8_130,refute_8_131]) ).
cnf(refute_8_133,plain,
op(unit,e4) = op(e0,e4),
inference(resolve,[$cnf( $equal(unit,e0) )],[refute_8_93,refute_8_132]) ).
cnf(refute_8_134,plain,
( op(unit,e4) != e4
| op(unit,e4) != op(e0,e4)
| op(e0,e4) = e4 ),
introduced(tautology,[equality,[$cnf( $equal(op(unit,e4),e4) ),[0],$fot(op(e0,e4))]]) ).
cnf(refute_8_135,plain,
( op(unit,e4) != e4
| op(e0,e4) = e4 ),
inference(resolve,[$cnf( $equal(op(unit,e4),op(e0,e4)) )],[refute_8_133,refute_8_134]) ).
cnf(refute_8_136,plain,
op(e0,e4) = e4,
inference(resolve,[$cnf( $equal(op(unit,e4),e4) )],[refute_8_5,refute_8_135]) ).
cnf(refute_8_137,plain,
( e4 != op(e2,e4)
| op(e0,e4) != e4
| op(e0,e4) = op(e2,e4) ),
introduced(tautology,[equality,[$cnf( $equal(op(e0,e4),e4) ),[1],$fot(op(e2,e4))]]) ).
cnf(refute_8_138,plain,
( e4 != op(e2,e4)
| op(e0,e4) = op(e2,e4) ),
inference(resolve,[$cnf( $equal(op(e0,e4),e4) )],[refute_8_136,refute_8_137]) ).
cnf(refute_8_139,plain,
e4 != op(e2,e4),
inference(resolve,[$cnf( $equal(op(e0,e4),op(e2,e4)) )],[refute_8_138,refute_8_129]) ).
cnf(refute_8_140,plain,
( op(e2,e4) != e4
| e4 = op(e2,e4) ),
inference(subst,[],[refute_8_14:[bind(X,$fot(op(e2,e4))),bind(Y,$fot(e4))]]) ).
cnf(refute_8_141,plain,
op(e2,e4) != e4,
inference(resolve,[$cnf( $equal(e4,op(e2,e4)) )],[refute_8_140,refute_8_139]) ).
cnf(refute_8_142,plain,
op(e2,e3) = e4,
inference(resolve,[$cnf( $equal(op(e2,e4),e4) )],[refute_8_128,refute_8_141]) ).
cnf(refute_8_143,plain,
( op(e2,e3) != e2
| op(e2,e3) != e4
| e4 = e2 ),
introduced(tautology,[equality,[$cnf( $equal(op(e2,e3),e2) ),[0],$fot(e4)]]) ).
cnf(refute_8_144,plain,
( op(e2,e3) != e2
| e4 = e2 ),
inference(resolve,[$cnf( $equal(op(e2,e3),e4) )],[refute_8_142,refute_8_143]) ).
cnf(refute_8_145,plain,
( e3 = e2
| e4 = e2
| op(e1,e3) = e2
| op(e3,e3) = e2
| op(e4,e3) = e2 ),
inference(resolve,[$cnf( $equal(op(e2,e3),e2) )],[refute_8_103,refute_8_144]) ).
cnf(refute_8_146,plain,
( op(e0,e0) = e1
| op(e1,e1) = e1
| op(e2,e2) = e1
| op(e3,e3) = e1
| op(e4,e4) = e1 ),
inference(canonicalize,[],[normalize_8_25]) ).
cnf(refute_8_147,plain,
( op(e1,e1) != e1
| op(e1,e1) != e4
| e4 = e1 ),
introduced(tautology,[equality,[$cnf( $equal(op(e1,e1),e1) ),[0],$fot(e4)]]) ).
cnf(refute_8_148,plain,
( op(e1,e1) != e1
| e4 = e1 ),
inference(resolve,[$cnf( $equal(op(e1,e1),e4) )],[refute_8_16,refute_8_147]) ).
cnf(refute_8_149,plain,
( e4 = e1
| op(e0,e0) = e1
| op(e2,e2) = e1
| op(e3,e3) = e1
| op(e4,e4) = e1 ),
inference(resolve,[$cnf( $equal(op(e1,e1),e1) )],[refute_8_146,refute_8_148]) ).
cnf(refute_8_150,plain,
( op(e2,e2) != e1
| op(e2,e2) != e3
| e3 = e1 ),
introduced(tautology,[equality,[$cnf( $equal(op(e2,e2),e1) ),[0],$fot(e3)]]) ).
cnf(refute_8_151,plain,
( op(e2,e2) != e1
| e3 = e1 ),
inference(resolve,[$cnf( $equal(op(e2,e2),e3) )],[refute_8_47,refute_8_150]) ).
cnf(refute_8_152,plain,
( e3 = e1
| e4 = e1
| op(e0,e0) = e1
| op(e3,e3) = e1
| op(e4,e4) = e1 ),
inference(resolve,[$cnf( $equal(op(e2,e2),e1) )],[refute_8_149,refute_8_151]) ).
cnf(refute_8_153,plain,
( op(e4,e4) != e1
| op(e4,e4) != e2
| e2 = e1 ),
introduced(tautology,[equality,[$cnf( $equal(op(e4,e4),e1) ),[0],$fot(e2)]]) ).
cnf(refute_8_154,plain,
( op(e4,e4) != e1
| e2 = e1 ),
inference(resolve,[$cnf( $equal(op(e4,e4),e2) )],[refute_8_74,refute_8_153]) ).
cnf(refute_8_155,plain,
( e2 = e1
| e3 = e1
| e4 = e1
| op(e0,e0) = e1
| op(e3,e3) = e1 ),
inference(resolve,[$cnf( $equal(op(e4,e4),e1) )],[refute_8_152,refute_8_154]) ).
cnf(refute_8_156,plain,
e1 != e2,
inference(canonicalize,[],[normalize_8_26]) ).
cnf(refute_8_157,plain,
( e2 != e1
| e1 = e2 ),
inference(subst,[],[refute_8_14:[bind(X,$fot(e2)),bind(Y,$fot(e1))]]) ).
cnf(refute_8_158,plain,
e2 != e1,
inference(resolve,[$cnf( $equal(e1,e2) )],[refute_8_157,refute_8_156]) ).
cnf(refute_8_159,plain,
( e3 = e1
| e4 = e1
| op(e0,e0) = e1
| op(e3,e3) = e1 ),
inference(resolve,[$cnf( $equal(e2,e1) )],[refute_8_155,refute_8_158]) ).
cnf(refute_8_160,plain,
e1 != e3,
inference(canonicalize,[],[normalize_8_27]) ).
cnf(refute_8_161,plain,
( e3 != e1
| e1 = e3 ),
inference(subst,[],[refute_8_14:[bind(X,$fot(e3)),bind(Y,$fot(e1))]]) ).
cnf(refute_8_162,plain,
e3 != e1,
inference(resolve,[$cnf( $equal(e1,e3) )],[refute_8_161,refute_8_160]) ).
cnf(refute_8_163,plain,
( e4 = e1
| op(e0,e0) = e1
| op(e3,e3) = e1 ),
inference(resolve,[$cnf( $equal(e3,e1) )],[refute_8_159,refute_8_162]) ).
cnf(refute_8_164,plain,
e1 != e4,
inference(canonicalize,[],[normalize_8_28]) ).
cnf(refute_8_165,plain,
( e4 != e1
| e1 = e4 ),
inference(subst,[],[refute_8_14:[bind(X,$fot(e4)),bind(Y,$fot(e1))]]) ).
cnf(refute_8_166,plain,
e4 != e1,
inference(resolve,[$cnf( $equal(e1,e4) )],[refute_8_165,refute_8_164]) ).
cnf(refute_8_167,plain,
( op(e0,e0) = e1
| op(e3,e3) = e1 ),
inference(resolve,[$cnf( $equal(e4,e1) )],[refute_8_163,refute_8_166]) ).
cnf(refute_8_168,plain,
op(e0,unit) = e0,
inference(canonicalize,[],[normalize_8_29]) ).
cnf(refute_8_169,plain,
op(e0,unit) = op(e0,unit),
introduced(tautology,[refl,[$fot(op(e0,unit))]]) ).
cnf(refute_8_170,plain,
( op(e0,unit) != op(e0,unit)
| unit != e0
| op(e0,unit) = op(e0,e0) ),
introduced(tautology,[equality,[$cnf( $equal(op(e0,unit),op(e0,unit)) ),[1,1],$fot(e0)]]) ).
cnf(refute_8_171,plain,
( unit != e0
| op(e0,unit) = op(e0,e0) ),
inference(resolve,[$cnf( $equal(op(e0,unit),op(e0,unit)) )],[refute_8_169,refute_8_170]) ).
cnf(refute_8_172,plain,
op(e0,unit) = op(e0,e0),
inference(resolve,[$cnf( $equal(unit,e0) )],[refute_8_93,refute_8_171]) ).
cnf(refute_8_173,plain,
( op(e0,unit) != e0
| op(e0,unit) != op(e0,e0)
| op(e0,e0) = e0 ),
introduced(tautology,[equality,[$cnf( $equal(op(e0,unit),e0) ),[0],$fot(op(e0,e0))]]) ).
cnf(refute_8_174,plain,
( op(e0,unit) != e0
| op(e0,e0) = e0 ),
inference(resolve,[$cnf( $equal(op(e0,unit),op(e0,e0)) )],[refute_8_172,refute_8_173]) ).
cnf(refute_8_175,plain,
op(e0,e0) = e0,
inference(resolve,[$cnf( $equal(op(e0,unit),e0) )],[refute_8_168,refute_8_174]) ).
cnf(refute_8_176,plain,
( op(e0,e0) != e0
| op(e0,e0) != e1
| e0 = e1 ),
introduced(tautology,[equality,[$cnf( $equal(op(e0,e0),e1) ),[0],$fot(e0)]]) ).
cnf(refute_8_177,plain,
( op(e0,e0) != e1
| e0 = e1 ),
inference(resolve,[$cnf( $equal(op(e0,e0),e0) )],[refute_8_175,refute_8_176]) ).
cnf(refute_8_178,plain,
( e0 = e1
| op(e3,e3) = e1 ),
inference(resolve,[$cnf( $equal(op(e0,e0),e1) )],[refute_8_167,refute_8_177]) ).
cnf(refute_8_179,plain,
e0 != e1,
inference(canonicalize,[],[normalize_8_30]) ).
cnf(refute_8_180,plain,
op(e3,e3) = e1,
inference(resolve,[$cnf( $equal(e0,e1) )],[refute_8_178,refute_8_179]) ).
cnf(refute_8_181,plain,
( op(e3,e3) != e1
| op(e3,e3) != e2
| e1 = e2 ),
introduced(tautology,[equality,[$cnf( $equal(op(e3,e3),e2) ),[0],$fot(e1)]]) ).
cnf(refute_8_182,plain,
( op(e3,e3) != e2
| e1 = e2 ),
inference(resolve,[$cnf( $equal(op(e3,e3),e1) )],[refute_8_180,refute_8_181]) ).
cnf(refute_8_183,plain,
( e1 = e2
| e3 = e2
| e4 = e2
| op(e1,e3) = e2
| op(e4,e3) = e2 ),
inference(resolve,[$cnf( $equal(op(e3,e3),e2) )],[refute_8_145,refute_8_182]) ).
cnf(refute_8_184,plain,
( e3 = e2
| e4 = e2
| op(e1,e3) = e2
| op(e4,e3) = e2 ),
inference(resolve,[$cnf( $equal(e1,e2) )],[refute_8_183,refute_8_156]) ).
cnf(refute_8_185,plain,
( e4 = e2
| op(e1,e3) = e2
| op(e4,e3) = e2 ),
inference(resolve,[$cnf( $equal(e3,e2) )],[refute_8_184,refute_8_53]) ).
cnf(refute_8_186,plain,
( e4 != e2
| e2 = e4 ),
inference(subst,[],[refute_8_14:[bind(X,$fot(e4)),bind(Y,$fot(e2))]]) ).
cnf(refute_8_187,plain,
e4 != e2,
inference(resolve,[$cnf( $equal(e2,e4) )],[refute_8_186,refute_8_127]) ).
cnf(refute_8_188,plain,
( op(e1,e3) = e2
| op(e4,e3) = e2 ),
inference(resolve,[$cnf( $equal(e4,e2) )],[refute_8_185,refute_8_187]) ).
cnf(refute_8_189,plain,
( op(e0,e1) = e2
| op(e1,e1) = e2
| op(e2,e1) = e2
| op(e3,e1) = e2
| op(e4,e1) = e2 ),
inference(canonicalize,[],[normalize_8_31]) ).
cnf(refute_8_190,plain,
( op(e1,e1) != e2
| op(e1,e1) != e4
| e4 = e2 ),
introduced(tautology,[equality,[$cnf( $equal(op(e1,e1),e2) ),[0],$fot(e4)]]) ).
cnf(refute_8_191,plain,
( op(e1,e1) != e2
| e4 = e2 ),
inference(resolve,[$cnf( $equal(op(e1,e1),e4) )],[refute_8_16,refute_8_190]) ).
cnf(refute_8_192,plain,
( e4 = e2
| op(e0,e1) = e2
| op(e2,e1) = e2
| op(e3,e1) = e2
| op(e4,e1) = e2 ),
inference(resolve,[$cnf( $equal(op(e1,e1),e2) )],[refute_8_189,refute_8_191]) ).
cnf(refute_8_193,plain,
( op(e0,e1) = e2
| op(e2,e1) = e2
| op(e3,e1) = e2
| op(e4,e1) = e2 ),
inference(resolve,[$cnf( $equal(e4,e2) )],[refute_8_192,refute_8_187]) ).
cnf(refute_8_194,plain,
op(e4,e1) != op(e4,e4),
inference(canonicalize,[],[normalize_8_32]) ).
cnf(refute_8_195,plain,
( op(e4,e1) != e2
| op(e4,e4) != e2
| op(e4,e1) = op(e4,e4) ),
introduced(tautology,[equality,[$cnf( ~ $equal(op(e4,e1),op(e4,e4)) ),[1],$fot(e2)]]) ).
cnf(refute_8_196,plain,
( op(e4,e1) != e2
| op(e4,e1) = op(e4,e4) ),
inference(resolve,[$cnf( $equal(op(e4,e4),e2) )],[refute_8_74,refute_8_195]) ).
cnf(refute_8_197,plain,
op(e4,e1) != e2,
inference(resolve,[$cnf( $equal(op(e4,e1),op(e4,e4)) )],[refute_8_196,refute_8_194]) ).
cnf(refute_8_198,plain,
( op(e0,e1) = e2
| op(e2,e1) = e2
| op(e3,e1) = e2 ),
inference(resolve,[$cnf( $equal(op(e4,e1),e2) )],[refute_8_193,refute_8_197]) ).
cnf(refute_8_199,plain,
op(unit,e1) = op(unit,e1),
introduced(tautology,[refl,[$fot(op(unit,e1))]]) ).
cnf(refute_8_200,plain,
( op(unit,e1) != op(unit,e1)
| unit != e0
| op(unit,e1) = op(e0,e1) ),
introduced(tautology,[equality,[$cnf( $equal(op(unit,e1),op(unit,e1)) ),[1,0],$fot(e0)]]) ).
cnf(refute_8_201,plain,
( unit != e0
| op(unit,e1) = op(e0,e1) ),
inference(resolve,[$cnf( $equal(op(unit,e1),op(unit,e1)) )],[refute_8_199,refute_8_200]) ).
cnf(refute_8_202,plain,
op(unit,e1) = op(e0,e1),
inference(resolve,[$cnf( $equal(unit,e0) )],[refute_8_93,refute_8_201]) ).
cnf(refute_8_203,plain,
( op(unit,e1) != e1
| op(unit,e1) != op(e0,e1)
| op(e0,e1) = e1 ),
introduced(tautology,[equality,[$cnf( $equal(op(unit,e1),e1) ),[0],$fot(op(e0,e1))]]) ).
cnf(refute_8_204,plain,
( op(unit,e1) != e1
| op(e0,e1) = e1 ),
inference(resolve,[$cnf( $equal(op(unit,e1),op(e0,e1)) )],[refute_8_202,refute_8_203]) ).
cnf(refute_8_205,plain,
op(e0,e1) = e1,
inference(resolve,[$cnf( $equal(op(unit,e1),e1) )],[refute_8_3,refute_8_204]) ).
cnf(refute_8_206,plain,
( op(e0,e1) != e1
| op(e0,e1) != e2
| e1 = e2 ),
introduced(tautology,[equality,[$cnf( $equal(op(e0,e1),e2) ),[0],$fot(e1)]]) ).
cnf(refute_8_207,plain,
( op(e0,e1) != e2
| e1 = e2 ),
inference(resolve,[$cnf( $equal(op(e0,e1),e1) )],[refute_8_205,refute_8_206]) ).
cnf(refute_8_208,plain,
( e1 = e2
| op(e2,e1) = e2
| op(e3,e1) = e2 ),
inference(resolve,[$cnf( $equal(op(e0,e1),e2) )],[refute_8_198,refute_8_207]) ).
cnf(refute_8_209,plain,
( op(e2,e1) = e2
| op(e3,e1) = e2 ),
inference(resolve,[$cnf( $equal(e1,e2) )],[refute_8_208,refute_8_156]) ).
cnf(refute_8_210,plain,
op(e2,e0) != op(e2,e1),
inference(canonicalize,[],[normalize_8_33]) ).
cnf(refute_8_211,plain,
( e2 != op(e2,e1)
| op(e2,e0) != e2
| op(e2,e0) = op(e2,e1) ),
introduced(tautology,[equality,[$cnf( $equal(op(e2,e0),e2) ),[1],$fot(op(e2,e1))]]) ).
cnf(refute_8_212,plain,
( e2 != op(e2,e1)
| op(e2,e0) = op(e2,e1) ),
inference(resolve,[$cnf( $equal(op(e2,e0),e2) )],[refute_8_123,refute_8_211]) ).
cnf(refute_8_213,plain,
e2 != op(e2,e1),
inference(resolve,[$cnf( $equal(op(e2,e0),op(e2,e1)) )],[refute_8_212,refute_8_210]) ).
cnf(refute_8_214,plain,
( op(e2,e1) != e2
| e2 = op(e2,e1) ),
inference(subst,[],[refute_8_14:[bind(X,$fot(op(e2,e1))),bind(Y,$fot(e2))]]) ).
cnf(refute_8_215,plain,
op(e2,e1) != e2,
inference(resolve,[$cnf( $equal(e2,op(e2,e1)) )],[refute_8_214,refute_8_213]) ).
cnf(refute_8_216,plain,
op(e3,e1) = e2,
inference(resolve,[$cnf( $equal(op(e2,e1),e2) )],[refute_8_209,refute_8_215]) ).
cnf(refute_8_217,plain,
( e2 != op(e1,e3)
| op(e3,e1) != e2
| op(e3,e1) = op(e1,e3) ),
introduced(tautology,[equality,[$cnf( $equal(op(e3,e1),e2) ),[1],$fot(op(e1,e3))]]) ).
cnf(refute_8_218,plain,
( e2 != op(e1,e3)
| op(e3,e1) = op(e1,e3) ),
inference(resolve,[$cnf( $equal(op(e3,e1),e2) )],[refute_8_216,refute_8_217]) ).
cnf(refute_8_219,plain,
e2 != op(e1,e3),
inference(resolve,[$cnf( $equal(op(e3,e1),op(e1,e3)) )],[refute_8_218,refute_8_2]) ).
cnf(refute_8_220,plain,
( op(e1,e3) != e2
| e2 = op(e1,e3) ),
inference(subst,[],[refute_8_14:[bind(X,$fot(op(e1,e3))),bind(Y,$fot(e2))]]) ).
cnf(refute_8_221,plain,
op(e1,e3) != e2,
inference(resolve,[$cnf( $equal(e2,op(e1,e3)) )],[refute_8_220,refute_8_219]) ).
cnf(refute_8_222,plain,
op(e4,e3) = e2,
inference(resolve,[$cnf( $equal(op(e1,e3),e2) )],[refute_8_188,refute_8_221]) ).
cnf(refute_8_223,plain,
op(e4,e3) != op(e4,e4),
inference(canonicalize,[],[normalize_8_34]) ).
cnf(refute_8_224,plain,
( op(e4,e3) != e2
| op(e4,e4) != e2
| op(e4,e3) = op(e4,e4) ),
introduced(tautology,[equality,[$cnf( ~ $equal(op(e4,e3),op(e4,e4)) ),[1],$fot(e2)]]) ).
cnf(refute_8_225,plain,
( op(e4,e3) != e2
| op(e4,e3) = op(e4,e4) ),
inference(resolve,[$cnf( $equal(op(e4,e4),e2) )],[refute_8_74,refute_8_224]) ).
cnf(refute_8_226,plain,
op(e4,e3) != e2,
inference(resolve,[$cnf( $equal(op(e4,e3),op(e4,e4)) )],[refute_8_225,refute_8_223]) ).
cnf(refute_8_227,plain,
$false,
inference(resolve,[$cnf( $equal(op(e4,e3),e2) )],[refute_8_222,refute_8_226]) ).
fof(negate_9_0,plain,
~ ( ( ( op(e0,e0) = e0
| op(e1,e1) = e0
| op(e2,e2) = e0
| op(e3,e3) = e0
| op(e4,e4) = e0 )
& ( op(e0,e0) = e1
| op(e1,e1) = e1
| op(e2,e2) = e1
| op(e3,e3) = e1
| op(e4,e4) = e1 )
& ( op(e0,e0) = e2
| op(e1,e1) = e2
| op(e2,e2) = e2
| op(e3,e3) = e2
| op(e4,e4) = e2 )
& ( op(e0,e0) = e3
| op(e1,e1) = e3
| op(e2,e2) = e3
| op(e3,e3) = e3
| op(e4,e4) = e3 )
& ( op(e0,e0) = e4
| op(e1,e1) = e4
| op(e2,e2) = e4
| op(e3,e3) = e4
| op(e4,e4) = e4 )
& ~ ( op(e0,e0) != op(e0,e0)
& op(op(e0,e0),e0) = e0
& op(op(e0,e0),e0) != e0 )
& ~ ( op(e1,e0) != op(e0,e1)
& op(op(e0,e1),e1) = e0
& op(op(e0,e1),e0) != e1 )
& ~ ( op(e2,e0) != op(e0,e2)
& op(op(e0,e2),e2) = e0
& op(op(e0,e2),e0) != e2 )
& ~ ( op(e3,e0) != op(e0,e3)
& op(op(e0,e3),e3) = e0
& op(op(e0,e3),e0) != e3 )
& ~ ( op(e4,e0) != op(e0,e4)
& op(op(e0,e4),e4) = e0
& op(op(e0,e4),e0) != e4 )
& ~ ( op(e0,e1) != op(e1,e0)
& op(op(e1,e0),e0) = e1
& op(op(e1,e0),e1) != e0 )
& ~ ( op(e1,e1) != op(e1,e1)
& op(op(e1,e1),e1) = e1
& op(op(e1,e1),e1) != e1 )
& ~ ( op(e2,e1) != op(e1,e2)
& op(op(e1,e2),e2) = e1
& op(op(e1,e2),e1) != e2 )
& ~ ( op(e3,e1) != op(e1,e3)
& op(op(e1,e3),e3) = e1
& op(op(e1,e3),e1) != e3 )
& op(e4,e1) != op(e1,e4)
& op(op(e1,e4),e4) = e1 )
=> op(op(e1,e4),e1) = e4 ),
inference(negate,[],[subgoal_9]) ).
fof(normalize_9_0,plain,
( ( op(e0,e0) = e0
| op(e0,e1) = e0
| op(e0,e2) = e0
| op(e0,e3) = e0
| op(e0,e4) = e0 )
& ( op(e0,e0) = e0
| op(e1,e0) = e0
| op(e2,e0) = e0
| op(e3,e0) = e0
| op(e4,e0) = e0 )
& ( op(e0,e0) = e1
| op(e0,e1) = e1
| op(e0,e2) = e1
| op(e0,e3) = e1
| op(e0,e4) = e1 )
& ( op(e0,e0) = e1
| op(e1,e0) = e1
| op(e2,e0) = e1
| op(e3,e0) = e1
| op(e4,e0) = e1 )
& ( op(e0,e0) = e2
| op(e0,e1) = e2
| op(e0,e2) = e2
| op(e0,e3) = e2
| op(e0,e4) = e2 )
& ( op(e0,e0) = e2
| op(e1,e0) = e2
| op(e2,e0) = e2
| op(e3,e0) = e2
| op(e4,e0) = e2 )
& ( op(e0,e0) = e3
| op(e0,e1) = e3
| op(e0,e2) = e3
| op(e0,e3) = e3
| op(e0,e4) = e3 )
& ( op(e0,e0) = e3
| op(e1,e0) = e3
| op(e2,e0) = e3
| op(e3,e0) = e3
| op(e4,e0) = e3 )
& ( op(e0,e0) = e4
| op(e0,e1) = e4
| op(e0,e2) = e4
| op(e0,e3) = e4
| op(e0,e4) = e4 )
& ( op(e0,e0) = e4
| op(e1,e0) = e4
| op(e2,e0) = e4
| op(e3,e0) = e4
| op(e4,e0) = e4 )
& ( op(e0,e1) = e0
| op(e1,e1) = e0
| op(e2,e1) = e0
| op(e3,e1) = e0
| op(e4,e1) = e0 )
& ( op(e0,e1) = e1
| op(e1,e1) = e1
| op(e2,e1) = e1
| op(e3,e1) = e1
| op(e4,e1) = e1 )
& ( op(e0,e1) = e2
| op(e1,e1) = e2
| op(e2,e1) = e2
| op(e3,e1) = e2
| op(e4,e1) = e2 )
& ( op(e0,e1) = e3
| op(e1,e1) = e3
| op(e2,e1) = e3
| op(e3,e1) = e3
| op(e4,e1) = e3 )
& ( op(e0,e1) = e4
| op(e1,e1) = e4
| op(e2,e1) = e4
| op(e3,e1) = e4
| op(e4,e1) = e4 )
& ( op(e0,e2) = e0
| op(e1,e2) = e0
| op(e2,e2) = e0
| op(e3,e2) = e0
| op(e4,e2) = e0 )
& ( op(e0,e2) = e1
| op(e1,e2) = e1
| op(e2,e2) = e1
| op(e3,e2) = e1
| op(e4,e2) = e1 )
& ( op(e0,e2) = e2
| op(e1,e2) = e2
| op(e2,e2) = e2
| op(e3,e2) = e2
| op(e4,e2) = e2 )
& ( op(e0,e2) = e3
| op(e1,e2) = e3
| op(e2,e2) = e3
| op(e3,e2) = e3
| op(e4,e2) = e3 )
& ( op(e0,e2) = e4
| op(e1,e2) = e4
| op(e2,e2) = e4
| op(e3,e2) = e4
| op(e4,e2) = e4 )
& ( op(e0,e3) = e0
| op(e1,e3) = e0
| op(e2,e3) = e0
| op(e3,e3) = e0
| op(e4,e3) = e0 )
& ( op(e0,e3) = e1
| op(e1,e3) = e1
| op(e2,e3) = e1
| op(e3,e3) = e1
| op(e4,e3) = e1 )
& ( op(e0,e3) = e2
| op(e1,e3) = e2
| op(e2,e3) = e2
| op(e3,e3) = e2
| op(e4,e3) = e2 )
& ( op(e0,e3) = e3
| op(e1,e3) = e3
| op(e2,e3) = e3
| op(e3,e3) = e3
| op(e4,e3) = e3 )
& ( op(e0,e3) = e4
| op(e1,e3) = e4
| op(e2,e3) = e4
| op(e3,e3) = e4
| op(e4,e3) = e4 )
& ( op(e0,e4) = e0
| op(e1,e4) = e0
| op(e2,e4) = e0
| op(e3,e4) = e0
| op(e4,e4) = e0 )
& ( op(e0,e4) = e1
| op(e1,e4) = e1
| op(e2,e4) = e1
| op(e3,e4) = e1
| op(e4,e4) = e1 )
& ( op(e0,e4) = e2
| op(e1,e4) = e2
| op(e2,e4) = e2
| op(e3,e4) = e2
| op(e4,e4) = e2 )
& ( op(e0,e4) = e3
| op(e1,e4) = e3
| op(e2,e4) = e3
| op(e3,e4) = e3
| op(e4,e4) = e3 )
& ( op(e0,e4) = e4
| op(e1,e4) = e4
| op(e2,e4) = e4
| op(e3,e4) = e4
| op(e4,e4) = e4 )
& ( op(e1,e0) = e0
| op(e1,e1) = e0
| op(e1,e2) = e0
| op(e1,e3) = e0
| op(e1,e4) = e0 )
& ( op(e1,e0) = e1
| op(e1,e1) = e1
| op(e1,e2) = e1
| op(e1,e3) = e1
| op(e1,e4) = e1 )
& ( op(e1,e0) = e2
| op(e1,e1) = e2
| op(e1,e2) = e2
| op(e1,e3) = e2
| op(e1,e4) = e2 )
& ( op(e1,e0) = e3
| op(e1,e1) = e3
| op(e1,e2) = e3
| op(e1,e3) = e3
| op(e1,e4) = e3 )
& ( op(e1,e0) = e4
| op(e1,e1) = e4
| op(e1,e2) = e4
| op(e1,e3) = e4
| op(e1,e4) = e4 )
& ( op(e2,e0) = e0
| op(e2,e1) = e0
| op(e2,e2) = e0
| op(e2,e3) = e0
| op(e2,e4) = e0 )
& ( op(e2,e0) = e1
| op(e2,e1) = e1
| op(e2,e2) = e1
| op(e2,e3) = e1
| op(e2,e4) = e1 )
& ( op(e2,e0) = e2
| op(e2,e1) = e2
| op(e2,e2) = e2
| op(e2,e3) = e2
| op(e2,e4) = e2 )
& ( op(e2,e0) = e3
| op(e2,e1) = e3
| op(e2,e2) = e3
| op(e2,e3) = e3
| op(e2,e4) = e3 )
& ( op(e2,e0) = e4
| op(e2,e1) = e4
| op(e2,e2) = e4
| op(e2,e3) = e4
| op(e2,e4) = e4 )
& ( op(e3,e0) = e0
| op(e3,e1) = e0
| op(e3,e2) = e0
| op(e3,e3) = e0
| op(e3,e4) = e0 )
& ( op(e3,e0) = e1
| op(e3,e1) = e1
| op(e3,e2) = e1
| op(e3,e3) = e1
| op(e3,e4) = e1 )
& ( op(e3,e0) = e2
| op(e3,e1) = e2
| op(e3,e2) = e2
| op(e3,e3) = e2
| op(e3,e4) = e2 )
& ( op(e3,e0) = e3
| op(e3,e1) = e3
| op(e3,e2) = e3
| op(e3,e3) = e3
| op(e3,e4) = e3 )
& ( op(e3,e0) = e4
| op(e3,e1) = e4
| op(e3,e2) = e4
| op(e3,e3) = e4
| op(e3,e4) = e4 )
& ( op(e4,e0) = e0
| op(e4,e1) = e0
| op(e4,e2) = e0
| op(e4,e3) = e0
| op(e4,e4) = e0 )
& ( op(e4,e0) = e1
| op(e4,e1) = e1
| op(e4,e2) = e1
| op(e4,e3) = e1
| op(e4,e4) = e1 )
& ( op(e4,e0) = e2
| op(e4,e1) = e2
| op(e4,e2) = e2
| op(e4,e3) = e2
| op(e4,e4) = e2 )
& ( op(e4,e0) = e3
| op(e4,e1) = e3
| op(e4,e2) = e3
| op(e4,e3) = e3
| op(e4,e4) = e3 )
& ( op(e4,e0) = e4
| op(e4,e1) = e4
| op(e4,e2) = e4
| op(e4,e3) = e4
| op(e4,e4) = e4 ) ),
inference(canonicalize,[],[ax3]) ).
fof(normalize_9_1,plain,
( op(e1,e0) = e3
| op(e1,e1) = e3
| op(e1,e2) = e3
| op(e1,e3) = e3
| op(e1,e4) = e3 ),
inference(conjunct,[],[normalize_9_0]) ).
fof(normalize_9_2,plain,
( e0 = op(e1,op(op(e1,e1),op(e1,e1)))
& e2 = op(op(e1,e1),op(e1,e1))
& e3 = op(op(op(e1,e1),op(e1,e1)),op(op(e1,e1),op(e1,e1)))
& e4 = op(e1,e1) ),
inference(canonicalize,[],[ax6]) ).
fof(normalize_9_3,plain,
e4 = op(e1,e1),
inference(conjunct,[],[normalize_9_2]) ).
fof(normalize_9_4,plain,
( e0 != e1
& e0 != e2
& e0 != e3
& e0 != e4
& e1 != e2
& e1 != e3
& e1 != e4
& e2 != e3
& e2 != e4
& e3 != e4 ),
inference(canonicalize,[],[ax5]) ).
fof(normalize_9_5,plain,
e3 != e4,
inference(conjunct,[],[normalize_9_4]) ).
fof(normalize_9_6,plain,
( op(e0,e0) != op(e0,e1)
& op(e0,e0) != op(e0,e2)
& op(e0,e0) != op(e0,e3)
& op(e0,e0) != op(e0,e4)
& op(e0,e0) != op(e1,e0)
& op(e0,e0) != op(e2,e0)
& op(e0,e0) != op(e3,e0)
& op(e0,e0) != op(e4,e0)
& op(e0,e1) != op(e0,e2)
& op(e0,e1) != op(e0,e3)
& op(e0,e1) != op(e0,e4)
& op(e0,e1) != op(e1,e1)
& op(e0,e1) != op(e2,e1)
& op(e0,e1) != op(e3,e1)
& op(e0,e1) != op(e4,e1)
& op(e0,e2) != op(e0,e3)
& op(e0,e2) != op(e0,e4)
& op(e0,e2) != op(e1,e2)
& op(e0,e2) != op(e2,e2)
& op(e0,e2) != op(e3,e2)
& op(e0,e2) != op(e4,e2)
& op(e0,e3) != op(e0,e4)
& op(e0,e3) != op(e1,e3)
& op(e0,e3) != op(e2,e3)
& op(e0,e3) != op(e3,e3)
& op(e0,e3) != op(e4,e3)
& op(e0,e4) != op(e1,e4)
& op(e0,e4) != op(e2,e4)
& op(e0,e4) != op(e3,e4)
& op(e0,e4) != op(e4,e4)
& op(e1,e0) != op(e1,e1)
& op(e1,e0) != op(e1,e2)
& op(e1,e0) != op(e1,e3)
& op(e1,e0) != op(e1,e4)
& op(e1,e0) != op(e2,e0)
& op(e1,e0) != op(e3,e0)
& op(e1,e0) != op(e4,e0)
& op(e1,e1) != op(e1,e2)
& op(e1,e1) != op(e1,e3)
& op(e1,e1) != op(e1,e4)
& op(e1,e1) != op(e2,e1)
& op(e1,e1) != op(e3,e1)
& op(e1,e1) != op(e4,e1)
& op(e1,e2) != op(e1,e3)
& op(e1,e2) != op(e1,e4)
& op(e1,e2) != op(e2,e2)
& op(e1,e2) != op(e3,e2)
& op(e1,e2) != op(e4,e2)
& op(e1,e3) != op(e1,e4)
& op(e1,e3) != op(e2,e3)
& op(e1,e3) != op(e3,e3)
& op(e1,e3) != op(e4,e3)
& op(e1,e4) != op(e2,e4)
& op(e1,e4) != op(e3,e4)
& op(e1,e4) != op(e4,e4)
& op(e2,e0) != op(e2,e1)
& op(e2,e0) != op(e2,e2)
& op(e2,e0) != op(e2,e3)
& op(e2,e0) != op(e2,e4)
& op(e2,e0) != op(e3,e0)
& op(e2,e0) != op(e4,e0)
& op(e2,e1) != op(e2,e2)
& op(e2,e1) != op(e2,e3)
& op(e2,e1) != op(e2,e4)
& op(e2,e1) != op(e3,e1)
& op(e2,e1) != op(e4,e1)
& op(e2,e2) != op(e2,e3)
& op(e2,e2) != op(e2,e4)
& op(e2,e2) != op(e3,e2)
& op(e2,e2) != op(e4,e2)
& op(e2,e3) != op(e2,e4)
& op(e2,e3) != op(e3,e3)
& op(e2,e3) != op(e4,e3)
& op(e2,e4) != op(e3,e4)
& op(e2,e4) != op(e4,e4)
& op(e3,e0) != op(e3,e1)
& op(e3,e0) != op(e3,e2)
& op(e3,e0) != op(e3,e3)
& op(e3,e0) != op(e3,e4)
& op(e3,e0) != op(e4,e0)
& op(e3,e1) != op(e3,e2)
& op(e3,e1) != op(e3,e3)
& op(e3,e1) != op(e3,e4)
& op(e3,e1) != op(e4,e1)
& op(e3,e2) != op(e3,e3)
& op(e3,e2) != op(e3,e4)
& op(e3,e2) != op(e4,e2)
& op(e3,e3) != op(e3,e4)
& op(e3,e3) != op(e4,e3)
& op(e3,e4) != op(e4,e4)
& op(e4,e0) != op(e4,e1)
& op(e4,e0) != op(e4,e2)
& op(e4,e0) != op(e4,e3)
& op(e4,e0) != op(e4,e4)
& op(e4,e1) != op(e4,e2)
& op(e4,e1) != op(e4,e3)
& op(e4,e1) != op(e4,e4)
& op(e4,e2) != op(e4,e3)
& op(e4,e2) != op(e4,e4)
& op(e4,e3) != op(e4,e4) ),
inference(canonicalize,[],[ax4]) ).
fof(normalize_9_7,plain,
op(e1,e2) != op(e2,e2),
inference(conjunct,[],[normalize_9_6]) ).
fof(normalize_9_8,plain,
e3 = op(op(op(e1,e1),op(e1,e1)),op(op(e1,e1),op(e1,e1))),
inference(conjunct,[],[normalize_9_2]) ).
fof(normalize_9_9,plain,
e2 = op(op(e1,e1),op(e1,e1)),
inference(conjunct,[],[normalize_9_2]) ).
fof(normalize_9_10,plain,
( op(e0,unit) = e0
& op(e1,unit) = e1
& op(e2,unit) = e2
& op(e3,unit) = e3
& op(e4,unit) = e4
& op(unit,e0) = e0
& op(unit,e1) = e1
& op(unit,e2) = e2
& op(unit,e3) = e3
& op(unit,e4) = e4
& ( unit = e0
| unit = e1
| unit = e2
| unit = e3
| unit = e4 ) ),
inference(canonicalize,[],[ax2]) ).
fof(normalize_9_11,plain,
op(e1,unit) = e1,
inference(conjunct,[],[normalize_9_10]) ).
fof(normalize_9_12,plain,
op(e0,e3) != op(e3,e3),
inference(conjunct,[],[normalize_9_6]) ).
fof(normalize_9_13,plain,
( op(e4,e1) != op(e1,e4)
& op(op(e1,e4),e1) != e4
& op(op(e1,e4),e4) = e1
& ( op(op(e0,e1),e1) != e0
| op(e1,e0) = op(e0,e1)
| op(op(e0,e1),e0) = e1 )
& ( op(op(e0,e2),e2) != e0
| op(e2,e0) = op(e0,e2)
| op(op(e0,e2),e0) = e2 )
& ( op(op(e0,e3),e3) != e0
| op(e3,e0) = op(e0,e3)
| op(op(e0,e3),e0) = e3 )
& ( op(op(e0,e4),e4) != e0
| op(e4,e0) = op(e0,e4)
| op(op(e0,e4),e0) = e4 )
& ( op(op(e1,e0),e0) != e1
| op(e0,e1) = op(e1,e0)
| op(op(e1,e0),e1) = e0 )
& ( op(op(e1,e2),e2) != e1
| op(e2,e1) = op(e1,e2)
| op(op(e1,e2),e1) = e2 )
& ( op(op(e1,e3),e3) != e1
| op(e3,e1) = op(e1,e3)
| op(op(e1,e3),e1) = e3 )
& ( op(e0,e0) = e0
| op(e1,e1) = e0
| op(e2,e2) = e0
| op(e3,e3) = e0
| op(e4,e4) = e0 )
& ( op(e0,e0) = e1
| op(e1,e1) = e1
| op(e2,e2) = e1
| op(e3,e3) = e1
| op(e4,e4) = e1 )
& ( op(e0,e0) = e2
| op(e1,e1) = e2
| op(e2,e2) = e2
| op(e3,e3) = e2
| op(e4,e4) = e2 )
& ( op(e0,e0) = e3
| op(e1,e1) = e3
| op(e2,e2) = e3
| op(e3,e3) = e3
| op(e4,e4) = e3 )
& ( op(e0,e0) = e4
| op(e1,e1) = e4
| op(e2,e2) = e4
| op(e3,e3) = e4
| op(e4,e4) = e4 ) ),
inference(canonicalize,[],[negate_9_0]) ).
fof(normalize_9_14,plain,
( op(e0,e0) = e0
| op(e1,e1) = e0
| op(e2,e2) = e0
| op(e3,e3) = e0
| op(e4,e4) = e0 ),
inference(conjunct,[],[normalize_9_13]) ).
fof(normalize_9_15,plain,
e0 != e2,
inference(conjunct,[],[normalize_9_4]) ).
fof(normalize_9_16,plain,
e0 != e3,
inference(conjunct,[],[normalize_9_4]) ).
fof(normalize_9_17,plain,
e0 != e4,
inference(conjunct,[],[normalize_9_4]) ).
fof(normalize_9_18,plain,
op(e0,unit) = e0,
inference(conjunct,[],[normalize_9_10]) ).
fof(normalize_9_19,plain,
op(unit,e4) = e4,
inference(conjunct,[],[normalize_9_10]) ).
fof(normalize_9_20,plain,
op(unit,e3) = e3,
inference(conjunct,[],[normalize_9_10]) ).
fof(normalize_9_21,plain,
( unit = e0
| unit = e1
| unit = e2
| unit = e3
| unit = e4 ),
inference(conjunct,[],[normalize_9_10]) ).
fof(normalize_9_22,plain,
op(e1,e1) != op(e1,e4),
inference(conjunct,[],[normalize_9_6]) ).
fof(normalize_9_23,plain,
op(e2,e2) != op(e2,e3),
inference(conjunct,[],[normalize_9_6]) ).
fof(normalize_9_24,plain,
e2 != e4,
inference(conjunct,[],[normalize_9_4]) ).
fof(normalize_9_25,plain,
op(e0,e0) != op(e0,e3),
inference(conjunct,[],[normalize_9_6]) ).
fof(normalize_9_26,plain,
( op(e0,e0) = e1
| op(e1,e1) = e1
| op(e2,e2) = e1
| op(e3,e3) = e1
| op(e4,e4) = e1 ),
inference(conjunct,[],[normalize_9_13]) ).
fof(normalize_9_27,plain,
e1 != e2,
inference(conjunct,[],[normalize_9_4]) ).
fof(normalize_9_28,plain,
e1 != e3,
inference(conjunct,[],[normalize_9_4]) ).
fof(normalize_9_29,plain,
e1 != e4,
inference(conjunct,[],[normalize_9_4]) ).
fof(normalize_9_30,plain,
e0 != e1,
inference(conjunct,[],[normalize_9_4]) ).
fof(normalize_9_31,plain,
op(e0,e3) != op(e1,e3),
inference(conjunct,[],[normalize_9_6]) ).
fof(normalize_9_32,plain,
op(e4,e1) != op(e1,e4),
inference(conjunct,[],[normalize_9_13]) ).
fof(normalize_9_33,plain,
( op(e0,e1) = e3
| op(e1,e1) = e3
| op(e2,e1) = e3
| op(e3,e1) = e3
| op(e4,e1) = e3 ),
inference(conjunct,[],[normalize_9_0]) ).
fof(normalize_9_34,plain,
op(e2,e1) != op(e2,e2),
inference(conjunct,[],[normalize_9_6]) ).
fof(normalize_9_35,plain,
op(unit,e1) = e1,
inference(conjunct,[],[normalize_9_10]) ).
fof(normalize_9_36,plain,
op(e3,e0) != op(e3,e1),
inference(conjunct,[],[normalize_9_6]) ).
fof(normalize_9_37,plain,
op(e3,unit) = e3,
inference(conjunct,[],[normalize_9_10]) ).
cnf(refute_9_0,plain,
( op(e1,e0) = e3
| op(e1,e1) = e3
| op(e1,e2) = e3
| op(e1,e3) = e3
| op(e1,e4) = e3 ),
inference(canonicalize,[],[normalize_9_1]) ).
cnf(refute_9_1,plain,
e4 = op(e1,e1),
inference(canonicalize,[],[normalize_9_3]) ).
cnf(refute_9_2,plain,
X = X,
introduced(tautology,[refl,[$fot(X)]]) ).
cnf(refute_9_3,plain,
( X != X
| X != Y
| Y = X ),
introduced(tautology,[equality,[$cnf( $equal(X,X) ),[0],$fot(Y)]]) ).
cnf(refute_9_4,plain,
( X != Y
| Y = X ),
inference(resolve,[$cnf( $equal(X,X) )],[refute_9_2,refute_9_3]) ).
cnf(refute_9_5,plain,
( e4 != op(e1,e1)
| op(e1,e1) = e4 ),
inference(subst,[],[refute_9_4:[bind(X,$fot(e4)),bind(Y,$fot(op(e1,e1)))]]) ).
cnf(refute_9_6,plain,
op(e1,e1) = e4,
inference(resolve,[$cnf( $equal(e4,op(e1,e1)) )],[refute_9_1,refute_9_5]) ).
cnf(refute_9_7,plain,
( op(e1,e1) != e3
| op(e1,e1) != e4
| e4 = e3 ),
introduced(tautology,[equality,[$cnf( $equal(op(e1,e1),e3) ),[0],$fot(e4)]]) ).
cnf(refute_9_8,plain,
( op(e1,e1) != e3
| e4 = e3 ),
inference(resolve,[$cnf( $equal(op(e1,e1),e4) )],[refute_9_6,refute_9_7]) ).
cnf(refute_9_9,plain,
( e4 = e3
| op(e1,e0) = e3
| op(e1,e2) = e3
| op(e1,e3) = e3
| op(e1,e4) = e3 ),
inference(resolve,[$cnf( $equal(op(e1,e1),e3) )],[refute_9_0,refute_9_8]) ).
cnf(refute_9_10,plain,
e3 != e4,
inference(canonicalize,[],[normalize_9_5]) ).
cnf(refute_9_11,plain,
( e4 != e3
| e3 = e4 ),
inference(subst,[],[refute_9_4:[bind(X,$fot(e4)),bind(Y,$fot(e3))]]) ).
cnf(refute_9_12,plain,
e4 != e3,
inference(resolve,[$cnf( $equal(e3,e4) )],[refute_9_11,refute_9_10]) ).
cnf(refute_9_13,plain,
( op(e1,e0) = e3
| op(e1,e2) = e3
| op(e1,e3) = e3
| op(e1,e4) = e3 ),
inference(resolve,[$cnf( $equal(e4,e3) )],[refute_9_9,refute_9_12]) ).
cnf(refute_9_14,plain,
op(e1,e2) != op(e2,e2),
inference(canonicalize,[],[normalize_9_7]) ).
cnf(refute_9_15,plain,
e3 = op(op(op(e1,e1),op(e1,e1)),op(op(e1,e1),op(e1,e1))),
inference(canonicalize,[],[normalize_9_8]) ).
cnf(refute_9_16,plain,
e2 = op(op(e1,e1),op(e1,e1)),
inference(canonicalize,[],[normalize_9_9]) ).
cnf(refute_9_17,plain,
( e2 != op(op(e1,e1),op(e1,e1))
| op(op(e1,e1),op(e1,e1)) = e2 ),
inference(subst,[],[refute_9_4:[bind(X,$fot(e2)),bind(Y,$fot(op(op(e1,e1),op(e1,e1))))]]) ).
cnf(refute_9_18,plain,
op(op(e1,e1),op(e1,e1)) = e2,
inference(resolve,[$cnf( $equal(e2,op(op(e1,e1),op(e1,e1))) )],[refute_9_16,refute_9_17]) ).
cnf(refute_9_19,plain,
op(e2,op(op(e1,e1),op(e1,e1))) = op(e2,op(op(e1,e1),op(e1,e1))),
introduced(tautology,[refl,[$fot(op(e2,op(op(e1,e1),op(e1,e1))))]]) ).
cnf(refute_9_20,plain,
( op(e2,op(op(e1,e1),op(e1,e1))) != op(e2,op(op(e1,e1),op(e1,e1)))
| op(op(e1,e1),op(e1,e1)) != e2
| op(e2,op(op(e1,e1),op(e1,e1))) = op(e2,e2) ),
introduced(tautology,[equality,[$cnf( $equal(op(e2,op(op(e1,e1),op(e1,e1))),op(e2,op(op(e1,e1),op(e1,e1)))) ),[1,1],$fot(e2)]]) ).
cnf(refute_9_21,plain,
( op(op(e1,e1),op(e1,e1)) != e2
| op(e2,op(op(e1,e1),op(e1,e1))) = op(e2,e2) ),
inference(resolve,[$cnf( $equal(op(e2,op(op(e1,e1),op(e1,e1))),op(e2,op(op(e1,e1),op(e1,e1)))) )],[refute_9_19,refute_9_20]) ).
cnf(refute_9_22,plain,
op(e2,op(op(e1,e1),op(e1,e1))) = op(e2,e2),
inference(resolve,[$cnf( $equal(op(op(e1,e1),op(e1,e1)),e2) )],[refute_9_18,refute_9_21]) ).
cnf(refute_9_23,plain,
op(op(op(e1,e1),op(e1,e1)),op(op(e1,e1),op(e1,e1))) = op(op(op(e1,e1),op(e1,e1)),op(op(e1,e1),op(e1,e1))),
introduced(tautology,[refl,[$fot(op(op(op(e1,e1),op(e1,e1)),op(op(e1,e1),op(e1,e1))))]]) ).
cnf(refute_9_24,plain,
( op(op(e1,e1),op(e1,e1)) != e2
| op(op(op(e1,e1),op(e1,e1)),op(op(e1,e1),op(e1,e1))) != op(op(op(e1,e1),op(e1,e1)),op(op(e1,e1),op(e1,e1)))
| op(op(op(e1,e1),op(e1,e1)),op(op(e1,e1),op(e1,e1))) = op(e2,op(op(e1,e1),op(e1,e1))) ),
introduced(tautology,[equality,[$cnf( $equal(op(op(op(e1,e1),op(e1,e1)),op(op(e1,e1),op(e1,e1))),op(op(op(e1,e1),op(e1,e1)),op(op(e1,e1),op(e1,e1)))) ),[1,0],$fot(e2)]]) ).
cnf(refute_9_25,plain,
( op(op(e1,e1),op(e1,e1)) != e2
| op(op(op(e1,e1),op(e1,e1)),op(op(e1,e1),op(e1,e1))) = op(e2,op(op(e1,e1),op(e1,e1))) ),
inference(resolve,[$cnf( $equal(op(op(op(e1,e1),op(e1,e1)),op(op(e1,e1),op(e1,e1))),op(op(op(e1,e1),op(e1,e1)),op(op(e1,e1),op(e1,e1)))) )],[refute_9_23,refute_9_24]) ).
cnf(refute_9_26,plain,
op(op(op(e1,e1),op(e1,e1)),op(op(e1,e1),op(e1,e1))) = op(e2,op(op(e1,e1),op(e1,e1))),
inference(resolve,[$cnf( $equal(op(op(e1,e1),op(e1,e1)),e2) )],[refute_9_18,refute_9_25]) ).
cnf(refute_9_27,plain,
( Y != X
| Y != Z
| X = Z ),
introduced(tautology,[equality,[$cnf( $equal(Y,Z) ),[0],$fot(X)]]) ).
cnf(refute_9_28,plain,
( X != Y
| Y != Z
| X = Z ),
inference(resolve,[$cnf( $equal(Y,X) )],[refute_9_4,refute_9_27]) ).
cnf(refute_9_29,plain,
( op(e2,op(op(e1,e1),op(e1,e1))) != op(e2,e2)
| op(op(op(e1,e1),op(e1,e1)),op(op(e1,e1),op(e1,e1))) != op(e2,op(op(e1,e1),op(e1,e1)))
| op(op(op(e1,e1),op(e1,e1)),op(op(e1,e1),op(e1,e1))) = op(e2,e2) ),
inference(subst,[],[refute_9_28:[bind(X,$fot(op(op(op(e1,e1),op(e1,e1)),op(op(e1,e1),op(e1,e1))))),bind(Y,$fot(op(e2,op(op(e1,e1),op(e1,e1))))),bind(Z,$fot(op(e2,e2)))]]) ).
cnf(refute_9_30,plain,
( op(e2,op(op(e1,e1),op(e1,e1))) != op(e2,e2)
| op(op(op(e1,e1),op(e1,e1)),op(op(e1,e1),op(e1,e1))) = op(e2,e2) ),
inference(resolve,[$cnf( $equal(op(op(op(e1,e1),op(e1,e1)),op(op(e1,e1),op(e1,e1))),op(e2,op(op(e1,e1),op(e1,e1)))) )],[refute_9_26,refute_9_29]) ).
cnf(refute_9_31,plain,
op(op(op(e1,e1),op(e1,e1)),op(op(e1,e1),op(e1,e1))) = op(e2,e2),
inference(resolve,[$cnf( $equal(op(e2,op(op(e1,e1),op(e1,e1))),op(e2,e2)) )],[refute_9_22,refute_9_30]) ).
cnf(refute_9_32,plain,
( e3 != op(op(op(e1,e1),op(e1,e1)),op(op(e1,e1),op(e1,e1)))
| op(op(op(e1,e1),op(e1,e1)),op(op(e1,e1),op(e1,e1))) != op(e2,e2)
| e3 = op(e2,e2) ),
introduced(tautology,[equality,[$cnf( ~ $equal(e3,op(e2,e2)) ),[0],$fot(op(op(op(e1,e1),op(e1,e1)),op(op(e1,e1),op(e1,e1))))]]) ).
cnf(refute_9_33,plain,
( e3 != op(op(op(e1,e1),op(e1,e1)),op(op(e1,e1),op(e1,e1)))
| e3 = op(e2,e2) ),
inference(resolve,[$cnf( $equal(op(op(op(e1,e1),op(e1,e1)),op(op(e1,e1),op(e1,e1))),op(e2,e2)) )],[refute_9_31,refute_9_32]) ).
cnf(refute_9_34,plain,
e3 = op(e2,e2),
inference(resolve,[$cnf( $equal(e3,op(op(op(e1,e1),op(e1,e1)),op(op(e1,e1),op(e1,e1)))) )],[refute_9_15,refute_9_33]) ).
cnf(refute_9_35,plain,
( e3 != op(e2,e2)
| op(e2,e2) = e3 ),
inference(subst,[],[refute_9_4:[bind(X,$fot(e3)),bind(Y,$fot(op(e2,e2)))]]) ).
cnf(refute_9_36,plain,
op(e2,e2) = e3,
inference(resolve,[$cnf( $equal(e3,op(e2,e2)) )],[refute_9_34,refute_9_35]) ).
cnf(refute_9_37,plain,
( op(e1,e2) != e3
| op(e2,e2) != e3
| op(e1,e2) = op(e2,e2) ),
introduced(tautology,[equality,[$cnf( ~ $equal(op(e1,e2),op(e2,e2)) ),[1],$fot(e3)]]) ).
cnf(refute_9_38,plain,
( op(e1,e2) != e3
| op(e1,e2) = op(e2,e2) ),
inference(resolve,[$cnf( $equal(op(e2,e2),e3) )],[refute_9_36,refute_9_37]) ).
cnf(refute_9_39,plain,
op(e1,e2) != e3,
inference(resolve,[$cnf( $equal(op(e1,e2),op(e2,e2)) )],[refute_9_38,refute_9_14]) ).
cnf(refute_9_40,plain,
( op(e1,e0) = e3
| op(e1,e3) = e3
| op(e1,e4) = e3 ),
inference(resolve,[$cnf( $equal(op(e1,e2),e3) )],[refute_9_13,refute_9_39]) ).
cnf(refute_9_41,plain,
op(e1,unit) = e1,
inference(canonicalize,[],[normalize_9_11]) ).
cnf(refute_9_42,plain,
op(e0,e3) != op(e3,e3),
inference(canonicalize,[],[normalize_9_12]) ).
cnf(refute_9_43,plain,
( op(e0,e0) = e0
| op(e1,e1) = e0
| op(e2,e2) = e0
| op(e3,e3) = e0
| op(e4,e4) = e0 ),
inference(canonicalize,[],[normalize_9_14]) ).
cnf(refute_9_44,plain,
( op(e1,e1) != e0
| op(e1,e1) != e4
| e4 = e0 ),
introduced(tautology,[equality,[$cnf( $equal(op(e1,e1),e0) ),[0],$fot(e4)]]) ).
cnf(refute_9_45,plain,
( op(e1,e1) != e0
| e4 = e0 ),
inference(resolve,[$cnf( $equal(op(e1,e1),e4) )],[refute_9_6,refute_9_44]) ).
cnf(refute_9_46,plain,
( e4 = e0
| op(e0,e0) = e0
| op(e2,e2) = e0
| op(e3,e3) = e0
| op(e4,e4) = e0 ),
inference(resolve,[$cnf( $equal(op(e1,e1),e0) )],[refute_9_43,refute_9_45]) ).
cnf(refute_9_47,plain,
( op(e2,e2) != e0
| op(e2,e2) != e3
| e3 = e0 ),
introduced(tautology,[equality,[$cnf( $equal(op(e2,e2),e0) ),[0],$fot(e3)]]) ).
cnf(refute_9_48,plain,
( op(e2,e2) != e0
| e3 = e0 ),
inference(resolve,[$cnf( $equal(op(e2,e2),e3) )],[refute_9_36,refute_9_47]) ).
cnf(refute_9_49,plain,
( e3 = e0
| e4 = e0
| op(e0,e0) = e0
| op(e3,e3) = e0
| op(e4,e4) = e0 ),
inference(resolve,[$cnf( $equal(op(e2,e2),e0) )],[refute_9_46,refute_9_48]) ).
cnf(refute_9_50,plain,
op(e4,op(e1,e1)) = op(e4,op(e1,e1)),
introduced(tautology,[refl,[$fot(op(e4,op(e1,e1)))]]) ).
cnf(refute_9_51,plain,
( op(e1,e1) != e4
| op(e4,op(e1,e1)) != op(e4,op(e1,e1))
| op(e4,op(e1,e1)) = op(e4,e4) ),
introduced(tautology,[equality,[$cnf( $equal(op(e4,op(e1,e1)),op(e4,op(e1,e1))) ),[1,1],$fot(e4)]]) ).
cnf(refute_9_52,plain,
( op(e1,e1) != e4
| op(e4,op(e1,e1)) = op(e4,e4) ),
inference(resolve,[$cnf( $equal(op(e4,op(e1,e1)),op(e4,op(e1,e1))) )],[refute_9_50,refute_9_51]) ).
cnf(refute_9_53,plain,
op(e4,op(e1,e1)) = op(e4,e4),
inference(resolve,[$cnf( $equal(op(e1,e1),e4) )],[refute_9_6,refute_9_52]) ).
cnf(refute_9_54,plain,
op(op(e1,e1),op(e1,e1)) = op(op(e1,e1),op(e1,e1)),
introduced(tautology,[refl,[$fot(op(op(e1,e1),op(e1,e1)))]]) ).
cnf(refute_9_55,plain,
( op(e1,e1) != e4
| op(op(e1,e1),op(e1,e1)) != op(op(e1,e1),op(e1,e1))
| op(op(e1,e1),op(e1,e1)) = op(e4,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(e4)]]) ).
cnf(refute_9_56,plain,
( op(e1,e1) != e4
| op(op(e1,e1),op(e1,e1)) = op(e4,op(e1,e1)) ),
inference(resolve,[$cnf( $equal(op(op(e1,e1),op(e1,e1)),op(op(e1,e1),op(e1,e1))) )],[refute_9_54,refute_9_55]) ).
cnf(refute_9_57,plain,
op(op(e1,e1),op(e1,e1)) = op(e4,op(e1,e1)),
inference(resolve,[$cnf( $equal(op(e1,e1),e4) )],[refute_9_6,refute_9_56]) ).
cnf(refute_9_58,plain,
( op(e4,op(e1,e1)) != op(e4,e4)
| op(op(e1,e1),op(e1,e1)) != op(e4,op(e1,e1))
| op(op(e1,e1),op(e1,e1)) = op(e4,e4) ),
inference(subst,[],[refute_9_28:[bind(X,$fot(op(op(e1,e1),op(e1,e1)))),bind(Y,$fot(op(e4,op(e1,e1)))),bind(Z,$fot(op(e4,e4)))]]) ).
cnf(refute_9_59,plain,
( op(e4,op(e1,e1)) != op(e4,e4)
| op(op(e1,e1),op(e1,e1)) = op(e4,e4) ),
inference(resolve,[$cnf( $equal(op(op(e1,e1),op(e1,e1)),op(e4,op(e1,e1))) )],[refute_9_57,refute_9_58]) ).
cnf(refute_9_60,plain,
op(op(e1,e1),op(e1,e1)) = op(e4,e4),
inference(resolve,[$cnf( $equal(op(e4,op(e1,e1)),op(e4,e4)) )],[refute_9_53,refute_9_59]) ).
cnf(refute_9_61,plain,
( e2 != op(op(e1,e1),op(e1,e1))
| op(op(e1,e1),op(e1,e1)) != op(e4,e4)
| e2 = op(e4,e4) ),
introduced(tautology,[equality,[$cnf( ~ $equal(e2,op(e4,e4)) ),[0],$fot(op(op(e1,e1),op(e1,e1)))]]) ).
cnf(refute_9_62,plain,
( e2 != op(op(e1,e1),op(e1,e1))
| e2 = op(e4,e4) ),
inference(resolve,[$cnf( $equal(op(op(e1,e1),op(e1,e1)),op(e4,e4)) )],[refute_9_60,refute_9_61]) ).
cnf(refute_9_63,plain,
e2 = op(e4,e4),
inference(resolve,[$cnf( $equal(e2,op(op(e1,e1),op(e1,e1))) )],[refute_9_16,refute_9_62]) ).
cnf(refute_9_64,plain,
( e2 != op(e4,e4)
| op(e4,e4) = e2 ),
inference(subst,[],[refute_9_4:[bind(X,$fot(e2)),bind(Y,$fot(op(e4,e4)))]]) ).
cnf(refute_9_65,plain,
op(e4,e4) = e2,
inference(resolve,[$cnf( $equal(e2,op(e4,e4)) )],[refute_9_63,refute_9_64]) ).
cnf(refute_9_66,plain,
( op(e4,e4) != e0
| op(e4,e4) != e2
| e2 = e0 ),
introduced(tautology,[equality,[$cnf( $equal(op(e4,e4),e0) ),[0],$fot(e2)]]) ).
cnf(refute_9_67,plain,
( op(e4,e4) != e0
| e2 = e0 ),
inference(resolve,[$cnf( $equal(op(e4,e4),e2) )],[refute_9_65,refute_9_66]) ).
cnf(refute_9_68,plain,
( e2 = e0
| e3 = e0
| e4 = e0
| op(e0,e0) = e0
| op(e3,e3) = e0 ),
inference(resolve,[$cnf( $equal(op(e4,e4),e0) )],[refute_9_49,refute_9_67]) ).
cnf(refute_9_69,plain,
e0 != e2,
inference(canonicalize,[],[normalize_9_15]) ).
cnf(refute_9_70,plain,
( e2 != e0
| e0 = e2 ),
inference(subst,[],[refute_9_4:[bind(X,$fot(e2)),bind(Y,$fot(e0))]]) ).
cnf(refute_9_71,plain,
e2 != e0,
inference(resolve,[$cnf( $equal(e0,e2) )],[refute_9_70,refute_9_69]) ).
cnf(refute_9_72,plain,
( e3 = e0
| e4 = e0
| op(e0,e0) = e0
| op(e3,e3) = e0 ),
inference(resolve,[$cnf( $equal(e2,e0) )],[refute_9_68,refute_9_71]) ).
cnf(refute_9_73,plain,
e0 != e3,
inference(canonicalize,[],[normalize_9_16]) ).
cnf(refute_9_74,plain,
( e3 != e0
| e0 = e3 ),
inference(subst,[],[refute_9_4:[bind(X,$fot(e3)),bind(Y,$fot(e0))]]) ).
cnf(refute_9_75,plain,
e3 != e0,
inference(resolve,[$cnf( $equal(e0,e3) )],[refute_9_74,refute_9_73]) ).
cnf(refute_9_76,plain,
( e4 = e0
| op(e0,e0) = e0
| op(e3,e3) = e0 ),
inference(resolve,[$cnf( $equal(e3,e0) )],[refute_9_72,refute_9_75]) ).
cnf(refute_9_77,plain,
e0 != e4,
inference(canonicalize,[],[normalize_9_17]) ).
cnf(refute_9_78,plain,
( e4 != e0
| e0 = e4 ),
inference(subst,[],[refute_9_4:[bind(X,$fot(e4)),bind(Y,$fot(e0))]]) ).
cnf(refute_9_79,plain,
e4 != e0,
inference(resolve,[$cnf( $equal(e0,e4) )],[refute_9_78,refute_9_77]) ).
cnf(refute_9_80,plain,
( op(e0,e0) = e0
| op(e3,e3) = e0 ),
inference(resolve,[$cnf( $equal(e4,e0) )],[refute_9_76,refute_9_79]) ).
cnf(refute_9_81,plain,
( op(e0,e3) != e0
| op(e3,e3) != e0
| op(e0,e3) = op(e3,e3) ),
introduced(tautology,[equality,[$cnf( ~ $equal(op(e0,e3),op(e3,e3)) ),[1],$fot(e0)]]) ).
cnf(refute_9_82,plain,
( op(e0,e3) != e0
| op(e0,e0) = e0
| op(e0,e3) = op(e3,e3) ),
inference(resolve,[$cnf( $equal(op(e3,e3),e0) )],[refute_9_80,refute_9_81]) ).
cnf(refute_9_83,plain,
( op(e0,e3) != e0
| op(e0,e0) = e0 ),
inference(resolve,[$cnf( $equal(op(e0,e3),op(e3,e3)) )],[refute_9_82,refute_9_42]) ).
cnf(refute_9_84,plain,
op(e0,unit) = e0,
inference(canonicalize,[],[normalize_9_18]) ).
cnf(refute_9_85,plain,
op(unit,e4) = e4,
inference(canonicalize,[],[normalize_9_19]) ).
cnf(refute_9_86,plain,
op(unit,e3) = e3,
inference(canonicalize,[],[normalize_9_20]) ).
cnf(refute_9_87,plain,
( unit = e0
| unit = e1
| unit = e2
| unit = e3
| unit = e4 ),
inference(canonicalize,[],[normalize_9_21]) ).
cnf(refute_9_88,plain,
( op(unit,e4) != e4
| unit != e1
| op(e1,e4) = e4 ),
introduced(tautology,[equality,[$cnf( $equal(op(unit,e4),e4) ),[0,0],$fot(e1)]]) ).
cnf(refute_9_89,plain,
( op(unit,e4) != e4
| op(e1,e4) = e4
| unit = e0
| unit = e2
| unit = e3
| unit = e4 ),
inference(resolve,[$cnf( $equal(unit,e1) )],[refute_9_87,refute_9_88]) ).
cnf(refute_9_90,plain,
( op(e1,e4) = e4
| unit = e0
| unit = e2
| unit = e3
| unit = e4 ),
inference(resolve,[$cnf( $equal(op(unit,e4),e4) )],[refute_9_85,refute_9_89]) ).
cnf(refute_9_91,plain,
op(e1,e1) != op(e1,e4),
inference(canonicalize,[],[normalize_9_22]) ).
cnf(refute_9_92,plain,
( e4 != op(e1,e4)
| op(e1,e1) != e4
| op(e1,e1) = op(e1,e4) ),
introduced(tautology,[equality,[$cnf( $equal(op(e1,e1),e4) ),[1],$fot(op(e1,e4))]]) ).
cnf(refute_9_93,plain,
( e4 != op(e1,e4)
| op(e1,e1) = op(e1,e4) ),
inference(resolve,[$cnf( $equal(op(e1,e1),e4) )],[refute_9_6,refute_9_92]) ).
cnf(refute_9_94,plain,
e4 != op(e1,e4),
inference(resolve,[$cnf( $equal(op(e1,e1),op(e1,e4)) )],[refute_9_93,refute_9_91]) ).
cnf(refute_9_95,plain,
( op(e1,e4) != e4
| e4 = op(e1,e4) ),
inference(subst,[],[refute_9_4:[bind(X,$fot(op(e1,e4))),bind(Y,$fot(e4))]]) ).
cnf(refute_9_96,plain,
op(e1,e4) != e4,
inference(resolve,[$cnf( $equal(e4,op(e1,e4)) )],[refute_9_95,refute_9_94]) ).
cnf(refute_9_97,plain,
( unit = e0
| unit = e2
| unit = e3
| unit = e4 ),
inference(resolve,[$cnf( $equal(op(e1,e4),e4) )],[refute_9_90,refute_9_96]) ).
cnf(refute_9_98,plain,
( op(unit,e3) != e3
| unit != e2
| op(e2,e3) = e3 ),
introduced(tautology,[equality,[$cnf( $equal(op(unit,e3),e3) ),[0,0],$fot(e2)]]) ).
cnf(refute_9_99,plain,
( op(unit,e3) != e3
| op(e2,e3) = e3
| unit = e0
| unit = e3
| unit = e4 ),
inference(resolve,[$cnf( $equal(unit,e2) )],[refute_9_97,refute_9_98]) ).
cnf(refute_9_100,plain,
( op(e2,e3) = e3
| unit = e0
| unit = e3
| unit = e4 ),
inference(resolve,[$cnf( $equal(op(unit,e3),e3) )],[refute_9_86,refute_9_99]) ).
cnf(refute_9_101,plain,
op(e2,e2) != op(e2,e3),
inference(canonicalize,[],[normalize_9_23]) ).
cnf(refute_9_102,plain,
( e3 != op(e2,e3)
| op(e2,e2) != e3
| op(e2,e2) = op(e2,e3) ),
introduced(tautology,[equality,[$cnf( $equal(op(e2,e2),e3) ),[1],$fot(op(e2,e3))]]) ).
cnf(refute_9_103,plain,
( e3 != op(e2,e3)
| op(e2,e2) = op(e2,e3) ),
inference(resolve,[$cnf( $equal(op(e2,e2),e3) )],[refute_9_36,refute_9_102]) ).
cnf(refute_9_104,plain,
e3 != op(e2,e3),
inference(resolve,[$cnf( $equal(op(e2,e2),op(e2,e3)) )],[refute_9_103,refute_9_101]) ).
cnf(refute_9_105,plain,
( op(e2,e3) != e3
| e3 = op(e2,e3) ),
inference(subst,[],[refute_9_4:[bind(X,$fot(op(e2,e3))),bind(Y,$fot(e3))]]) ).
cnf(refute_9_106,plain,
op(e2,e3) != e3,
inference(resolve,[$cnf( $equal(e3,op(e2,e3)) )],[refute_9_105,refute_9_104]) ).
cnf(refute_9_107,plain,
( unit = e0
| unit = e3
| unit = e4 ),
inference(resolve,[$cnf( $equal(op(e2,e3),e3) )],[refute_9_100,refute_9_106]) ).
cnf(refute_9_108,plain,
( op(unit,e4) != e4
| unit != e4
| op(e4,e4) = e4 ),
introduced(tautology,[equality,[$cnf( $equal(op(unit,e4),e4) ),[0,0],$fot(e4)]]) ).
cnf(refute_9_109,plain,
( op(unit,e4) != e4
| op(e4,e4) = e4
| unit = e0
| unit = e3 ),
inference(resolve,[$cnf( $equal(unit,e4) )],[refute_9_107,refute_9_108]) ).
cnf(refute_9_110,plain,
( op(e4,e4) = e4
| unit = e0
| unit = e3 ),
inference(resolve,[$cnf( $equal(op(unit,e4),e4) )],[refute_9_85,refute_9_109]) ).
cnf(refute_9_111,plain,
( op(e4,e4) != e2
| op(e4,e4) != e4
| e2 = e4 ),
introduced(tautology,[equality,[$cnf( $equal(op(e4,e4),e4) ),[0],$fot(e2)]]) ).
cnf(refute_9_112,plain,
( op(e4,e4) != e4
| e2 = e4 ),
inference(resolve,[$cnf( $equal(op(e4,e4),e2) )],[refute_9_65,refute_9_111]) ).
cnf(refute_9_113,plain,
( e2 = e4
| unit = e0
| unit = e3 ),
inference(resolve,[$cnf( $equal(op(e4,e4),e4) )],[refute_9_110,refute_9_112]) ).
cnf(refute_9_114,plain,
e2 != e4,
inference(canonicalize,[],[normalize_9_24]) ).
cnf(refute_9_115,plain,
( unit = e0
| unit = e3 ),
inference(resolve,[$cnf( $equal(e2,e4) )],[refute_9_113,refute_9_114]) ).
cnf(refute_9_116,plain,
( op(e0,unit) != e0
| unit != e3
| op(e0,e3) = e0 ),
introduced(tautology,[equality,[$cnf( $equal(op(e0,unit),e0) ),[0,1],$fot(e3)]]) ).
cnf(refute_9_117,plain,
( op(e0,unit) != e0
| op(e0,e3) = e0
| unit = e0 ),
inference(resolve,[$cnf( $equal(unit,e3) )],[refute_9_115,refute_9_116]) ).
cnf(refute_9_118,plain,
( op(e0,e3) = e0
| unit = e0 ),
inference(resolve,[$cnf( $equal(op(e0,unit),e0) )],[refute_9_84,refute_9_117]) ).
cnf(refute_9_119,plain,
( e0 != e0
| op(e0,e3) != e0
| op(e0,e3) = e0 ),
introduced(tautology,[equality,[$cnf( $equal(op(e0,e3),e0) ),[0,0],$fot(e0)]]) ).
cnf(refute_9_120,plain,
( e0 != e0
| op(e0,e3) = e0
| unit = e0 ),
inference(resolve,[$cnf( $equal(op(e0,e3),e0) )],[refute_9_118,refute_9_119]) ).
cnf(refute_9_121,plain,
( e0 != e0
| op(e0,e0) = e0
| unit = e0 ),
inference(resolve,[$cnf( $equal(op(e0,e3),e0) )],[refute_9_120,refute_9_83]) ).
cnf(refute_9_122,plain,
e0 = e0,
introduced(tautology,[refl,[$fot(e0)]]) ).
cnf(refute_9_123,plain,
( op(e0,e0) = e0
| unit = e0 ),
inference(resolve,[$cnf( $equal(e0,e0) )],[refute_9_122,refute_9_121]) ).
cnf(refute_9_124,plain,
op(e0,e0) != op(e0,e3),
inference(canonicalize,[],[normalize_9_25]) ).
cnf(refute_9_125,plain,
( op(e0,e0) = e1
| op(e1,e1) = e1
| op(e2,e2) = e1
| op(e3,e3) = e1
| op(e4,e4) = e1 ),
inference(canonicalize,[],[normalize_9_26]) ).
cnf(refute_9_126,plain,
( op(e1,e1) != e1
| op(e1,e1) != e4
| e4 = e1 ),
introduced(tautology,[equality,[$cnf( $equal(op(e1,e1),e1) ),[0],$fot(e4)]]) ).
cnf(refute_9_127,plain,
( op(e1,e1) != e1
| e4 = e1 ),
inference(resolve,[$cnf( $equal(op(e1,e1),e4) )],[refute_9_6,refute_9_126]) ).
cnf(refute_9_128,plain,
( e4 = e1
| op(e0,e0) = e1
| op(e2,e2) = e1
| op(e3,e3) = e1
| op(e4,e4) = e1 ),
inference(resolve,[$cnf( $equal(op(e1,e1),e1) )],[refute_9_125,refute_9_127]) ).
cnf(refute_9_129,plain,
( op(e2,e2) != e1
| op(e2,e2) != e3
| e3 = e1 ),
introduced(tautology,[equality,[$cnf( $equal(op(e2,e2),e1) ),[0],$fot(e3)]]) ).
cnf(refute_9_130,plain,
( op(e2,e2) != e1
| e3 = e1 ),
inference(resolve,[$cnf( $equal(op(e2,e2),e3) )],[refute_9_36,refute_9_129]) ).
cnf(refute_9_131,plain,
( e3 = e1
| e4 = e1
| op(e0,e0) = e1
| op(e3,e3) = e1
| op(e4,e4) = e1 ),
inference(resolve,[$cnf( $equal(op(e2,e2),e1) )],[refute_9_128,refute_9_130]) ).
cnf(refute_9_132,plain,
( op(e4,e4) != e1
| op(e4,e4) != e2
| e2 = e1 ),
introduced(tautology,[equality,[$cnf( $equal(op(e4,e4),e1) ),[0],$fot(e2)]]) ).
cnf(refute_9_133,plain,
( op(e4,e4) != e1
| e2 = e1 ),
inference(resolve,[$cnf( $equal(op(e4,e4),e2) )],[refute_9_65,refute_9_132]) ).
cnf(refute_9_134,plain,
( e2 = e1
| e3 = e1
| e4 = e1
| op(e0,e0) = e1
| op(e3,e3) = e1 ),
inference(resolve,[$cnf( $equal(op(e4,e4),e1) )],[refute_9_131,refute_9_133]) ).
cnf(refute_9_135,plain,
e1 != e2,
inference(canonicalize,[],[normalize_9_27]) ).
cnf(refute_9_136,plain,
( e2 != e1
| e1 = e2 ),
inference(subst,[],[refute_9_4:[bind(X,$fot(e2)),bind(Y,$fot(e1))]]) ).
cnf(refute_9_137,plain,
e2 != e1,
inference(resolve,[$cnf( $equal(e1,e2) )],[refute_9_136,refute_9_135]) ).
cnf(refute_9_138,plain,
( e3 = e1
| e4 = e1
| op(e0,e0) = e1
| op(e3,e3) = e1 ),
inference(resolve,[$cnf( $equal(e2,e1) )],[refute_9_134,refute_9_137]) ).
cnf(refute_9_139,plain,
e1 != e3,
inference(canonicalize,[],[normalize_9_28]) ).
cnf(refute_9_140,plain,
( e3 != e1
| e1 = e3 ),
inference(subst,[],[refute_9_4:[bind(X,$fot(e3)),bind(Y,$fot(e1))]]) ).
cnf(refute_9_141,plain,
e3 != e1,
inference(resolve,[$cnf( $equal(e1,e3) )],[refute_9_140,refute_9_139]) ).
cnf(refute_9_142,plain,
( e4 = e1
| op(e0,e0) = e1
| op(e3,e3) = e1 ),
inference(resolve,[$cnf( $equal(e3,e1) )],[refute_9_138,refute_9_141]) ).
cnf(refute_9_143,plain,
e1 != e4,
inference(canonicalize,[],[normalize_9_29]) ).
cnf(refute_9_144,plain,
( e4 != e1
| e1 = e4 ),
inference(subst,[],[refute_9_4:[bind(X,$fot(e4)),bind(Y,$fot(e1))]]) ).
cnf(refute_9_145,plain,
e4 != e1,
inference(resolve,[$cnf( $equal(e1,e4) )],[refute_9_144,refute_9_143]) ).
cnf(refute_9_146,plain,
( op(e0,e0) = e1
| op(e3,e3) = e1 ),
inference(resolve,[$cnf( $equal(e4,e1) )],[refute_9_142,refute_9_145]) ).
cnf(refute_9_147,plain,
( op(e3,e3) != e0
| op(e3,e3) != e1
| e1 = e0 ),
introduced(tautology,[equality,[$cnf( $equal(op(e3,e3),e0) ),[0],$fot(e1)]]) ).
cnf(refute_9_148,plain,
( op(e3,e3) != e0
| e1 = e0
| op(e0,e0) = e1 ),
inference(resolve,[$cnf( $equal(op(e3,e3),e1) )],[refute_9_146,refute_9_147]) ).
cnf(refute_9_149,plain,
( e1 = e0
| op(e0,e0) = e0
| op(e0,e0) = e1 ),
inference(resolve,[$cnf( $equal(op(e3,e3),e0) )],[refute_9_80,refute_9_148]) ).
cnf(refute_9_150,plain,
e0 != e1,
inference(canonicalize,[],[normalize_9_30]) ).
cnf(refute_9_151,plain,
( e1 != e0
| e0 = e1 ),
inference(subst,[],[refute_9_4:[bind(X,$fot(e1)),bind(Y,$fot(e0))]]) ).
cnf(refute_9_152,plain,
e1 != e0,
inference(resolve,[$cnf( $equal(e0,e1) )],[refute_9_151,refute_9_150]) ).
cnf(refute_9_153,plain,
( op(e0,e0) = e0
| op(e0,e0) = e1 ),
inference(resolve,[$cnf( $equal(e1,e0) )],[refute_9_149,refute_9_152]) ).
cnf(refute_9_154,plain,
( e0 != op(e0,e3)
| op(e0,e0) != e0
| op(e0,e0) = op(e0,e3) ),
introduced(tautology,[equality,[$cnf( $equal(op(e0,e0),e0) ),[1],$fot(op(e0,e3))]]) ).
cnf(refute_9_155,plain,
( e0 != op(e0,e3)
| op(e0,e0) = e1
| op(e0,e0) = op(e0,e3) ),
inference(resolve,[$cnf( $equal(op(e0,e0),e0) )],[refute_9_153,refute_9_154]) ).
cnf(refute_9_156,plain,
( e0 != op(e0,e3)
| op(e0,e0) = e1 ),
inference(resolve,[$cnf( $equal(op(e0,e0),op(e0,e3)) )],[refute_9_155,refute_9_124]) ).
cnf(refute_9_157,plain,
( e0 != e0
| op(e0,e3) != e0
| e0 = op(e0,e3) ),
introduced(tautology,[equality,[$cnf( ~ $equal(e0,op(e0,e3)) ),[1],$fot(e0)]]) ).
cnf(refute_9_158,plain,
( e0 != e0
| e0 = op(e0,e3)
| unit = e0 ),
inference(resolve,[$cnf( $equal(op(e0,e3),e0) )],[refute_9_118,refute_9_157]) ).
cnf(refute_9_159,plain,
( e0 != e0
| op(e0,e0) = e1
| unit = e0 ),
inference(resolve,[$cnf( $equal(e0,op(e0,e3)) )],[refute_9_158,refute_9_156]) ).
cnf(refute_9_160,plain,
( op(e0,e0) = e1
| unit = e0 ),
inference(resolve,[$cnf( $equal(e0,e0) )],[refute_9_122,refute_9_159]) ).
cnf(refute_9_161,plain,
( op(e0,e0) != e0
| op(e0,e0) != e1
| e1 = e0 ),
introduced(tautology,[equality,[$cnf( $equal(op(e0,e0),e0) ),[0],$fot(e1)]]) ).
cnf(refute_9_162,plain,
( op(e0,e0) != e0
| e1 = e0
| unit = e0 ),
inference(resolve,[$cnf( $equal(op(e0,e0),e1) )],[refute_9_160,refute_9_161]) ).
cnf(refute_9_163,plain,
( e1 = e0
| unit = e0 ),
inference(resolve,[$cnf( $equal(op(e0,e0),e0) )],[refute_9_123,refute_9_162]) ).
cnf(refute_9_164,plain,
unit = e0,
inference(resolve,[$cnf( $equal(e1,e0) )],[refute_9_163,refute_9_152]) ).
cnf(refute_9_165,plain,
op(e1,unit) = op(e1,unit),
introduced(tautology,[refl,[$fot(op(e1,unit))]]) ).
cnf(refute_9_166,plain,
( op(e1,unit) != op(e1,unit)
| unit != e0
| op(e1,unit) = op(e1,e0) ),
introduced(tautology,[equality,[$cnf( $equal(op(e1,unit),op(e1,unit)) ),[1,1],$fot(e0)]]) ).
cnf(refute_9_167,plain,
( unit != e0
| op(e1,unit) = op(e1,e0) ),
inference(resolve,[$cnf( $equal(op(e1,unit),op(e1,unit)) )],[refute_9_165,refute_9_166]) ).
cnf(refute_9_168,plain,
op(e1,unit) = op(e1,e0),
inference(resolve,[$cnf( $equal(unit,e0) )],[refute_9_164,refute_9_167]) ).
cnf(refute_9_169,plain,
( op(e1,unit) != e1
| op(e1,unit) != op(e1,e0)
| op(e1,e0) = e1 ),
introduced(tautology,[equality,[$cnf( $equal(op(e1,unit),e1) ),[0],$fot(op(e1,e0))]]) ).
cnf(refute_9_170,plain,
( op(e1,unit) != e1
| op(e1,e0) = e1 ),
inference(resolve,[$cnf( $equal(op(e1,unit),op(e1,e0)) )],[refute_9_168,refute_9_169]) ).
cnf(refute_9_171,plain,
op(e1,e0) = e1,
inference(resolve,[$cnf( $equal(op(e1,unit),e1) )],[refute_9_41,refute_9_170]) ).
cnf(refute_9_172,plain,
( op(e1,e0) != e1
| op(e1,e0) != e3
| e1 = e3 ),
introduced(tautology,[equality,[$cnf( $equal(op(e1,e0),e3) ),[0],$fot(e1)]]) ).
cnf(refute_9_173,plain,
( op(e1,e0) != e3
| e1 = e3 ),
inference(resolve,[$cnf( $equal(op(e1,e0),e1) )],[refute_9_171,refute_9_172]) ).
cnf(refute_9_174,plain,
( e1 = e3
| op(e1,e3) = e3
| op(e1,e4) = e3 ),
inference(resolve,[$cnf( $equal(op(e1,e0),e3) )],[refute_9_40,refute_9_173]) ).
cnf(refute_9_175,plain,
( op(e1,e3) = e3
| op(e1,e4) = e3 ),
inference(resolve,[$cnf( $equal(e1,e3) )],[refute_9_174,refute_9_139]) ).
cnf(refute_9_176,plain,
op(e0,e3) != op(e1,e3),
inference(canonicalize,[],[normalize_9_31]) ).
cnf(refute_9_177,plain,
op(unit,e3) = op(unit,e3),
introduced(tautology,[refl,[$fot(op(unit,e3))]]) ).
cnf(refute_9_178,plain,
( op(unit,e3) != op(unit,e3)
| unit != e0
| op(unit,e3) = op(e0,e3) ),
introduced(tautology,[equality,[$cnf( $equal(op(unit,e3),op(unit,e3)) ),[1,0],$fot(e0)]]) ).
cnf(refute_9_179,plain,
( unit != e0
| op(unit,e3) = op(e0,e3) ),
inference(resolve,[$cnf( $equal(op(unit,e3),op(unit,e3)) )],[refute_9_177,refute_9_178]) ).
cnf(refute_9_180,plain,
op(unit,e3) = op(e0,e3),
inference(resolve,[$cnf( $equal(unit,e0) )],[refute_9_164,refute_9_179]) ).
cnf(refute_9_181,plain,
( op(unit,e3) != e3
| op(unit,e3) != op(e0,e3)
| op(e0,e3) = e3 ),
introduced(tautology,[equality,[$cnf( $equal(op(unit,e3),e3) ),[0],$fot(op(e0,e3))]]) ).
cnf(refute_9_182,plain,
( op(unit,e3) != e3
| op(e0,e3) = e3 ),
inference(resolve,[$cnf( $equal(op(unit,e3),op(e0,e3)) )],[refute_9_180,refute_9_181]) ).
cnf(refute_9_183,plain,
op(e0,e3) = e3,
inference(resolve,[$cnf( $equal(op(unit,e3),e3) )],[refute_9_86,refute_9_182]) ).
cnf(refute_9_184,plain,
( e3 != op(e1,e3)
| op(e0,e3) != e3
| op(e0,e3) = op(e1,e3) ),
introduced(tautology,[equality,[$cnf( $equal(op(e0,e3),e3) ),[1],$fot(op(e1,e3))]]) ).
cnf(refute_9_185,plain,
( e3 != op(e1,e3)
| op(e0,e3) = op(e1,e3) ),
inference(resolve,[$cnf( $equal(op(e0,e3),e3) )],[refute_9_183,refute_9_184]) ).
cnf(refute_9_186,plain,
e3 != op(e1,e3),
inference(resolve,[$cnf( $equal(op(e0,e3),op(e1,e3)) )],[refute_9_185,refute_9_176]) ).
cnf(refute_9_187,plain,
( op(e1,e3) != e3
| e3 = op(e1,e3) ),
inference(subst,[],[refute_9_4:[bind(X,$fot(op(e1,e3))),bind(Y,$fot(e3))]]) ).
cnf(refute_9_188,plain,
op(e1,e3) != e3,
inference(resolve,[$cnf( $equal(e3,op(e1,e3)) )],[refute_9_187,refute_9_186]) ).
cnf(refute_9_189,plain,
op(e1,e4) = e3,
inference(resolve,[$cnf( $equal(op(e1,e3),e3) )],[refute_9_175,refute_9_188]) ).
cnf(refute_9_190,plain,
op(e4,e1) != op(e1,e4),
inference(canonicalize,[],[normalize_9_32]) ).
cnf(refute_9_191,plain,
( op(e0,e1) = e3
| op(e1,e1) = e3
| op(e2,e1) = e3
| op(e3,e1) = e3
| op(e4,e1) = e3 ),
inference(canonicalize,[],[normalize_9_33]) ).
cnf(refute_9_192,plain,
( e4 = e3
| op(e0,e1) = e3
| op(e2,e1) = e3
| op(e3,e1) = e3
| op(e4,e1) = e3 ),
inference(resolve,[$cnf( $equal(op(e1,e1),e3) )],[refute_9_191,refute_9_8]) ).
cnf(refute_9_193,plain,
( op(e0,e1) = e3
| op(e2,e1) = e3
| op(e3,e1) = e3
| op(e4,e1) = e3 ),
inference(resolve,[$cnf( $equal(e4,e3) )],[refute_9_192,refute_9_12]) ).
cnf(refute_9_194,plain,
op(e2,e1) != op(e2,e2),
inference(canonicalize,[],[normalize_9_34]) ).
cnf(refute_9_195,plain,
( op(e2,e1) != e3
| op(e2,e2) != e3
| op(e2,e1) = op(e2,e2) ),
introduced(tautology,[equality,[$cnf( ~ $equal(op(e2,e1),op(e2,e2)) ),[1],$fot(e3)]]) ).
cnf(refute_9_196,plain,
( op(e2,e1) != e3
| op(e2,e1) = op(e2,e2) ),
inference(resolve,[$cnf( $equal(op(e2,e2),e3) )],[refute_9_36,refute_9_195]) ).
cnf(refute_9_197,plain,
op(e2,e1) != e3,
inference(resolve,[$cnf( $equal(op(e2,e1),op(e2,e2)) )],[refute_9_196,refute_9_194]) ).
cnf(refute_9_198,plain,
( op(e0,e1) = e3
| op(e3,e1) = e3
| op(e4,e1) = e3 ),
inference(resolve,[$cnf( $equal(op(e2,e1),e3) )],[refute_9_193,refute_9_197]) ).
cnf(refute_9_199,plain,
op(unit,e1) = e1,
inference(canonicalize,[],[normalize_9_35]) ).
cnf(refute_9_200,plain,
op(unit,e1) = op(unit,e1),
introduced(tautology,[refl,[$fot(op(unit,e1))]]) ).
cnf(refute_9_201,plain,
( op(unit,e1) != op(unit,e1)
| unit != e0
| op(unit,e1) = op(e0,e1) ),
introduced(tautology,[equality,[$cnf( $equal(op(unit,e1),op(unit,e1)) ),[1,0],$fot(e0)]]) ).
cnf(refute_9_202,plain,
( unit != e0
| op(unit,e1) = op(e0,e1) ),
inference(resolve,[$cnf( $equal(op(unit,e1),op(unit,e1)) )],[refute_9_200,refute_9_201]) ).
cnf(refute_9_203,plain,
op(unit,e1) = op(e0,e1),
inference(resolve,[$cnf( $equal(unit,e0) )],[refute_9_164,refute_9_202]) ).
cnf(refute_9_204,plain,
( op(unit,e1) != e1
| op(unit,e1) != op(e0,e1)
| op(e0,e1) = e1 ),
introduced(tautology,[equality,[$cnf( $equal(op(unit,e1),e1) ),[0],$fot(op(e0,e1))]]) ).
cnf(refute_9_205,plain,
( op(unit,e1) != e1
| op(e0,e1) = e1 ),
inference(resolve,[$cnf( $equal(op(unit,e1),op(e0,e1)) )],[refute_9_203,refute_9_204]) ).
cnf(refute_9_206,plain,
op(e0,e1) = e1,
inference(resolve,[$cnf( $equal(op(unit,e1),e1) )],[refute_9_199,refute_9_205]) ).
cnf(refute_9_207,plain,
( op(e0,e1) != e1
| op(e0,e1) != e3
| e1 = e3 ),
introduced(tautology,[equality,[$cnf( $equal(op(e0,e1),e3) ),[0],$fot(e1)]]) ).
cnf(refute_9_208,plain,
( op(e0,e1) != e3
| e1 = e3 ),
inference(resolve,[$cnf( $equal(op(e0,e1),e1) )],[refute_9_206,refute_9_207]) ).
cnf(refute_9_209,plain,
( e1 = e3
| op(e3,e1) = e3
| op(e4,e1) = e3 ),
inference(resolve,[$cnf( $equal(op(e0,e1),e3) )],[refute_9_198,refute_9_208]) ).
cnf(refute_9_210,plain,
( op(e3,e1) = e3
| op(e4,e1) = e3 ),
inference(resolve,[$cnf( $equal(e1,e3) )],[refute_9_209,refute_9_139]) ).
cnf(refute_9_211,plain,
op(e3,e0) != op(e3,e1),
inference(canonicalize,[],[normalize_9_36]) ).
cnf(refute_9_212,plain,
op(e3,unit) = e3,
inference(canonicalize,[],[normalize_9_37]) ).
cnf(refute_9_213,plain,
op(e3,unit) = op(e3,unit),
introduced(tautology,[refl,[$fot(op(e3,unit))]]) ).
cnf(refute_9_214,plain,
( op(e3,unit) != op(e3,unit)
| unit != e0
| op(e3,unit) = op(e3,e0) ),
introduced(tautology,[equality,[$cnf( $equal(op(e3,unit),op(e3,unit)) ),[1,1],$fot(e0)]]) ).
cnf(refute_9_215,plain,
( unit != e0
| op(e3,unit) = op(e3,e0) ),
inference(resolve,[$cnf( $equal(op(e3,unit),op(e3,unit)) )],[refute_9_213,refute_9_214]) ).
cnf(refute_9_216,plain,
op(e3,unit) = op(e3,e0),
inference(resolve,[$cnf( $equal(unit,e0) )],[refute_9_164,refute_9_215]) ).
cnf(refute_9_217,plain,
( op(e3,unit) != e3
| op(e3,unit) != op(e3,e0)
| op(e3,e0) = e3 ),
introduced(tautology,[equality,[$cnf( $equal(op(e3,unit),e3) ),[0],$fot(op(e3,e0))]]) ).
cnf(refute_9_218,plain,
( op(e3,unit) != e3
| op(e3,e0) = e3 ),
inference(resolve,[$cnf( $equal(op(e3,unit),op(e3,e0)) )],[refute_9_216,refute_9_217]) ).
cnf(refute_9_219,plain,
op(e3,e0) = e3,
inference(resolve,[$cnf( $equal(op(e3,unit),e3) )],[refute_9_212,refute_9_218]) ).
cnf(refute_9_220,plain,
( e3 != op(e3,e1)
| op(e3,e0) != e3
| op(e3,e0) = op(e3,e1) ),
introduced(tautology,[equality,[$cnf( $equal(op(e3,e0),e3) ),[1],$fot(op(e3,e1))]]) ).
cnf(refute_9_221,plain,
( e3 != op(e3,e1)
| op(e3,e0) = op(e3,e1) ),
inference(resolve,[$cnf( $equal(op(e3,e0),e3) )],[refute_9_219,refute_9_220]) ).
cnf(refute_9_222,plain,
e3 != op(e3,e1),
inference(resolve,[$cnf( $equal(op(e3,e0),op(e3,e1)) )],[refute_9_221,refute_9_211]) ).
cnf(refute_9_223,plain,
( op(e3,e1) != e3
| e3 = op(e3,e1) ),
inference(subst,[],[refute_9_4:[bind(X,$fot(op(e3,e1))),bind(Y,$fot(e3))]]) ).
cnf(refute_9_224,plain,
op(e3,e1) != e3,
inference(resolve,[$cnf( $equal(e3,op(e3,e1)) )],[refute_9_223,refute_9_222]) ).
cnf(refute_9_225,plain,
op(e4,e1) = e3,
inference(resolve,[$cnf( $equal(op(e3,e1),e3) )],[refute_9_210,refute_9_224]) ).
cnf(refute_9_226,plain,
( e3 != op(e1,e4)
| op(e4,e1) != e3
| op(e4,e1) = op(e1,e4) ),
introduced(tautology,[equality,[$cnf( $equal(op(e4,e1),e3) ),[1],$fot(op(e1,e4))]]) ).
cnf(refute_9_227,plain,
( e3 != op(e1,e4)
| op(e4,e1) = op(e1,e4) ),
inference(resolve,[$cnf( $equal(op(e4,e1),e3) )],[refute_9_225,refute_9_226]) ).
cnf(refute_9_228,plain,
e3 != op(e1,e4),
inference(resolve,[$cnf( $equal(op(e4,e1),op(e1,e4)) )],[refute_9_227,refute_9_190]) ).
cnf(refute_9_229,plain,
( op(e1,e4) != e3
| e3 = op(e1,e4) ),
inference(subst,[],[refute_9_4:[bind(X,$fot(op(e1,e4))),bind(Y,$fot(e3))]]) ).
cnf(refute_9_230,plain,
op(e1,e4) != e3,
inference(resolve,[$cnf( $equal(e3,op(e1,e4)) )],[refute_9_229,refute_9_228]) ).
cnf(refute_9_231,plain,
$false,
inference(resolve,[$cnf( $equal(op(e1,e4),e3) )],[refute_9_189,refute_9_230]) ).
fof(negate_10_0,plain,
~ ( ( ( op(e0,e0) = e0
| op(e1,e1) = e0
| op(e2,e2) = e0
| op(e3,e3) = e0
| op(e4,e4) = e0 )
& ( op(e0,e0) = e1
| op(e1,e1) = e1
| op(e2,e2) = e1
| op(e3,e3) = e1
| op(e4,e4) = e1 )
& ( op(e0,e0) = e2
| op(e1,e1) = e2
| op(e2,e2) = e2
| op(e3,e3) = e2
| op(e4,e4) = e2 )
& ( op(e0,e0) = e3
| op(e1,e1) = e3
| op(e2,e2) = e3
| op(e3,e3) = e3
| op(e4,e4) = e3 )
& ( op(e0,e0) = e4
| op(e1,e1) = e4
| op(e2,e2) = e4
| op(e3,e3) = e4
| op(e4,e4) = e4 )
& ~ ( op(e0,e0) != op(e0,e0)
& op(op(e0,e0),e0) = e0
& op(op(e0,e0),e0) != e0 )
& ~ ( op(e1,e0) != op(e0,e1)
& op(op(e0,e1),e1) = e0
& op(op(e0,e1),e0) != e1 )
& ~ ( op(e2,e0) != op(e0,e2)
& op(op(e0,e2),e2) = e0
& op(op(e0,e2),e0) != e2 )
& ~ ( op(e3,e0) != op(e0,e3)
& op(op(e0,e3),e3) = e0
& op(op(e0,e3),e0) != e3 )
& ~ ( op(e4,e0) != op(e0,e4)
& op(op(e0,e4),e4) = e0
& op(op(e0,e4),e0) != e4 )
& ~ ( op(e0,e1) != op(e1,e0)
& op(op(e1,e0),e0) = e1
& op(op(e1,e0),e1) != e0 )
& ~ ( op(e1,e1) != op(e1,e1)
& op(op(e1,e1),e1) = e1
& op(op(e1,e1),e1) != e1 )
& ~ ( op(e2,e1) != op(e1,e2)
& op(op(e1,e2),e2) = e1
& op(op(e1,e2),e1) != e2 )
& ~ ( op(e3,e1) != op(e1,e3)
& op(op(e1,e3),e3) = e1
& op(op(e1,e3),e1) != e3 )
& ~ ( op(e4,e1) != op(e1,e4)
& op(op(e1,e4),e4) = e1
& op(op(e1,e4),e1) != e4 )
& op(e0,e2) != op(e2,e0)
& op(op(e2,e0),e0) = e2 )
=> op(op(e2,e0),e2) = e0 ),
inference(negate,[],[subgoal_10]) ).
fof(normalize_10_0,plain,
( op(e0,e2) != op(e2,e0)
& op(op(e2,e0),e2) != e0
& op(op(e2,e0),e0) = e2
& ( op(op(e0,e1),e1) != e0
| op(e1,e0) = op(e0,e1)
| op(op(e0,e1),e0) = e1 )
& ( op(op(e0,e2),e2) != e0
| op(e2,e0) = op(e0,e2)
| op(op(e0,e2),e0) = e2 )
& ( op(op(e0,e3),e3) != e0
| op(e3,e0) = op(e0,e3)
| op(op(e0,e3),e0) = e3 )
& ( op(op(e0,e4),e4) != e0
| op(e4,e0) = op(e0,e4)
| op(op(e0,e4),e0) = e4 )
& ( op(op(e1,e0),e0) != e1
| op(e0,e1) = op(e1,e0)
| op(op(e1,e0),e1) = e0 )
& ( op(op(e1,e2),e2) != e1
| op(e2,e1) = op(e1,e2)
| op(op(e1,e2),e1) = e2 )
& ( op(op(e1,e3),e3) != e1
| op(e3,e1) = op(e1,e3)
| op(op(e1,e3),e1) = e3 )
& ( op(op(e1,e4),e4) != e1
| op(e4,e1) = op(e1,e4)
| op(op(e1,e4),e1) = e4 )
& ( op(e0,e0) = e0
| op(e1,e1) = e0
| op(e2,e2) = e0
| op(e3,e3) = e0
| op(e4,e4) = e0 )
& ( op(e0,e0) = e1
| op(e1,e1) = e1
| op(e2,e2) = e1
| op(e3,e3) = e1
| op(e4,e4) = e1 )
& ( op(e0,e0) = e2
| op(e1,e1) = e2
| op(e2,e2) = e2
| op(e3,e3) = e2
| op(e4,e4) = e2 )
& ( op(e0,e0) = e3
| op(e1,e1) = e3
| op(e2,e2) = e3
| op(e3,e3) = e3
| op(e4,e4) = e3 )
& ( op(e0,e0) = e4
| op(e1,e1) = e4
| op(e2,e2) = e4
| op(e3,e3) = e4
| op(e4,e4) = e4 ) ),
inference(canonicalize,[],[negate_10_0]) ).
fof(normalize_10_1,plain,
op(e0,e2) != op(e2,e0),
inference(conjunct,[],[normalize_10_0]) ).
fof(normalize_10_2,plain,
( op(e0,unit) = e0
& op(e1,unit) = e1
& op(e2,unit) = e2
& op(e3,unit) = e3
& op(e4,unit) = e4
& op(unit,e0) = e0
& op(unit,e1) = e1
& op(unit,e2) = e2
& op(unit,e3) = e3
& op(unit,e4) = e4
& ( unit = e0
| unit = e1
| unit = e2
| unit = e3
| unit = e4 ) ),
inference(canonicalize,[],[ax2]) ).
fof(normalize_10_3,plain,
op(unit,e2) = e2,
inference(conjunct,[],[normalize_10_2]) ).
fof(normalize_10_4,plain,
( op(e0,e0) != op(e0,e1)
& op(e0,e0) != op(e0,e2)
& op(e0,e0) != op(e0,e3)
& op(e0,e0) != op(e0,e4)
& op(e0,e0) != op(e1,e0)
& op(e0,e0) != op(e2,e0)
& op(e0,e0) != op(e3,e0)
& op(e0,e0) != op(e4,e0)
& op(e0,e1) != op(e0,e2)
& op(e0,e1) != op(e0,e3)
& op(e0,e1) != op(e0,e4)
& op(e0,e1) != op(e1,e1)
& op(e0,e1) != op(e2,e1)
& op(e0,e1) != op(e3,e1)
& op(e0,e1) != op(e4,e1)
& op(e0,e2) != op(e0,e3)
& op(e0,e2) != op(e0,e4)
& op(e0,e2) != op(e1,e2)
& op(e0,e2) != op(e2,e2)
& op(e0,e2) != op(e3,e2)
& op(e0,e2) != op(e4,e2)
& op(e0,e3) != op(e0,e4)
& op(e0,e3) != op(e1,e3)
& op(e0,e3) != op(e2,e3)
& op(e0,e3) != op(e3,e3)
& op(e0,e3) != op(e4,e3)
& op(e0,e4) != op(e1,e4)
& op(e0,e4) != op(e2,e4)
& op(e0,e4) != op(e3,e4)
& op(e0,e4) != op(e4,e4)
& op(e1,e0) != op(e1,e1)
& op(e1,e0) != op(e1,e2)
& op(e1,e0) != op(e1,e3)
& op(e1,e0) != op(e1,e4)
& op(e1,e0) != op(e2,e0)
& op(e1,e0) != op(e3,e0)
& op(e1,e0) != op(e4,e0)
& op(e1,e1) != op(e1,e2)
& op(e1,e1) != op(e1,e3)
& op(e1,e1) != op(e1,e4)
& op(e1,e1) != op(e2,e1)
& op(e1,e1) != op(e3,e1)
& op(e1,e1) != op(e4,e1)
& op(e1,e2) != op(e1,e3)
& op(e1,e2) != op(e1,e4)
& op(e1,e2) != op(e2,e2)
& op(e1,e2) != op(e3,e2)
& op(e1,e2) != op(e4,e2)
& op(e1,e3) != op(e1,e4)
& op(e1,e3) != op(e2,e3)
& op(e1,e3) != op(e3,e3)
& op(e1,e3) != op(e4,e3)
& op(e1,e4) != op(e2,e4)
& op(e1,e4) != op(e3,e4)
& op(e1,e4) != op(e4,e4)
& op(e2,e0) != op(e2,e1)
& op(e2,e0) != op(e2,e2)
& op(e2,e0) != op(e2,e3)
& op(e2,e0) != op(e2,e4)
& op(e2,e0) != op(e3,e0)
& op(e2,e0) != op(e4,e0)
& op(e2,e1) != op(e2,e2)
& op(e2,e1) != op(e2,e3)
& op(e2,e1) != op(e2,e4)
& op(e2,e1) != op(e3,e1)
& op(e2,e1) != op(e4,e1)
& op(e2,e2) != op(e2,e3)
& op(e2,e2) != op(e2,e4)
& op(e2,e2) != op(e3,e2)
& op(e2,e2) != op(e4,e2)
& op(e2,e3) != op(e2,e4)
& op(e2,e3) != op(e3,e3)
& op(e2,e3) != op(e4,e3)
& op(e2,e4) != op(e3,e4)
& op(e2,e4) != op(e4,e4)
& op(e3,e0) != op(e3,e1)
& op(e3,e0) != op(e3,e2)
& op(e3,e0) != op(e3,e3)
& op(e3,e0) != op(e3,e4)
& op(e3,e0) != op(e4,e0)
& op(e3,e1) != op(e3,e2)
& op(e3,e1) != op(e3,e3)
& op(e3,e1) != op(e3,e4)
& op(e3,e1) != op(e4,e1)
& op(e3,e2) != op(e3,e3)
& op(e3,e2) != op(e3,e4)
& op(e3,e2) != op(e4,e2)
& op(e3,e3) != op(e3,e4)
& op(e3,e3) != op(e4,e3)
& op(e3,e4) != op(e4,e4)
& op(e4,e0) != op(e4,e1)
& op(e4,e0) != op(e4,e2)
& op(e4,e0) != op(e4,e3)
& op(e4,e0) != op(e4,e4)
& op(e4,e1) != op(e4,e2)
& op(e4,e1) != op(e4,e3)
& op(e4,e1) != op(e4,e4)
& op(e4,e2) != op(e4,e3)
& op(e4,e2) != op(e4,e4)
& op(e4,e3) != op(e4,e4) ),
inference(canonicalize,[],[ax4]) ).
fof(normalize_10_5,plain,
op(e3,e0) != op(e3,e3),
inference(conjunct,[],[normalize_10_4]) ).
fof(normalize_10_6,plain,
( op(e0,e0) = e0
| op(e1,e1) = e0
| op(e2,e2) = e0
| op(e3,e3) = e0
| op(e4,e4) = e0 ),
inference(conjunct,[],[normalize_10_0]) ).
fof(normalize_10_7,plain,
( e0 = op(e1,op(op(e1,e1),op(e1,e1)))
& e2 = op(op(e1,e1),op(e1,e1))
& e3 = op(op(op(e1,e1),op(e1,e1)),op(op(e1,e1),op(e1,e1)))
& e4 = op(e1,e1) ),
inference(canonicalize,[],[ax6]) ).
fof(normalize_10_8,plain,
e4 = op(e1,e1),
inference(conjunct,[],[normalize_10_7]) ).
fof(normalize_10_9,plain,
e3 = op(op(op(e1,e1),op(e1,e1)),op(op(e1,e1),op(e1,e1))),
inference(conjunct,[],[normalize_10_7]) ).
fof(normalize_10_10,plain,
e2 = op(op(e1,e1),op(e1,e1)),
inference(conjunct,[],[normalize_10_7]) ).
fof(normalize_10_11,plain,
( e0 != e1
& e0 != e2
& e0 != e3
& e0 != e4
& e1 != e2
& e1 != e3
& e1 != e4
& e2 != e3
& e2 != e4
& e3 != e4 ),
inference(canonicalize,[],[ax5]) ).
fof(normalize_10_12,plain,
e0 != e2,
inference(conjunct,[],[normalize_10_11]) ).
fof(normalize_10_13,plain,
e0 != e3,
inference(conjunct,[],[normalize_10_11]) ).
fof(normalize_10_14,plain,
e0 != e4,
inference(conjunct,[],[normalize_10_11]) ).
fof(normalize_10_15,plain,
op(unit,e0) = e0,
inference(conjunct,[],[normalize_10_2]) ).
fof(normalize_10_16,plain,
op(unit,e4) = e4,
inference(conjunct,[],[normalize_10_2]) ).
fof(normalize_10_17,plain,
op(unit,e3) = e3,
inference(conjunct,[],[normalize_10_2]) ).
fof(normalize_10_18,plain,
( unit = e0
| unit = e1
| unit = e2
| unit = e3
| unit = e4 ),
inference(conjunct,[],[normalize_10_2]) ).
fof(normalize_10_19,plain,
op(e1,e1) != op(e1,e4),
inference(conjunct,[],[normalize_10_4]) ).
fof(normalize_10_20,plain,
op(e2,e2) != op(e2,e3),
inference(conjunct,[],[normalize_10_4]) ).
fof(normalize_10_21,plain,
e2 != e4,
inference(conjunct,[],[normalize_10_11]) ).
fof(normalize_10_22,plain,
op(e1,e3) != op(e3,e3),
inference(conjunct,[],[normalize_10_4]) ).
fof(normalize_10_23,plain,
( op(e0,e0) = e1
| op(e1,e1) = e1
| op(e2,e2) = e1
| op(e3,e3) = e1
| op(e4,e4) = e1 ),
inference(conjunct,[],[normalize_10_0]) ).
fof(normalize_10_24,plain,
e1 != e2,
inference(conjunct,[],[normalize_10_11]) ).
fof(normalize_10_25,plain,
e1 != e3,
inference(conjunct,[],[normalize_10_11]) ).
fof(normalize_10_26,plain,
e1 != e4,
inference(conjunct,[],[normalize_10_11]) ).
fof(normalize_10_27,plain,
op(e1,unit) = e1,
inference(conjunct,[],[normalize_10_2]) ).
fof(normalize_10_28,plain,
e0 != e1,
inference(conjunct,[],[normalize_10_11]) ).
fof(normalize_10_29,plain,
op(e2,unit) = e2,
inference(conjunct,[],[normalize_10_2]) ).
cnf(refute_10_0,plain,
op(e0,e2) != op(e2,e0),
inference(canonicalize,[],[normalize_10_1]) ).
cnf(refute_10_1,plain,
op(unit,e2) = e2,
inference(canonicalize,[],[normalize_10_3]) ).
cnf(refute_10_2,plain,
op(e3,e0) != op(e3,e3),
inference(canonicalize,[],[normalize_10_5]) ).
cnf(refute_10_3,plain,
( op(e0,e0) = e0
| op(e1,e1) = e0
| op(e2,e2) = e0
| op(e3,e3) = e0
| op(e4,e4) = e0 ),
inference(canonicalize,[],[normalize_10_6]) ).
cnf(refute_10_4,plain,
e4 = op(e1,e1),
inference(canonicalize,[],[normalize_10_8]) ).
cnf(refute_10_5,plain,
X = X,
introduced(tautology,[refl,[$fot(X)]]) ).
cnf(refute_10_6,plain,
( X != X
| X != Y
| Y = X ),
introduced(tautology,[equality,[$cnf( $equal(X,X) ),[0],$fot(Y)]]) ).
cnf(refute_10_7,plain,
( X != Y
| Y = X ),
inference(resolve,[$cnf( $equal(X,X) )],[refute_10_5,refute_10_6]) ).
cnf(refute_10_8,plain,
( e4 != op(e1,e1)
| op(e1,e1) = e4 ),
inference(subst,[],[refute_10_7:[bind(X,$fot(e4)),bind(Y,$fot(op(e1,e1)))]]) ).
cnf(refute_10_9,plain,
op(e1,e1) = e4,
inference(resolve,[$cnf( $equal(e4,op(e1,e1)) )],[refute_10_4,refute_10_8]) ).
cnf(refute_10_10,plain,
( op(e1,e1) != e0
| op(e1,e1) != e4
| e4 = e0 ),
introduced(tautology,[equality,[$cnf( $equal(op(e1,e1),e0) ),[0],$fot(e4)]]) ).
cnf(refute_10_11,plain,
( op(e1,e1) != e0
| e4 = e0 ),
inference(resolve,[$cnf( $equal(op(e1,e1),e4) )],[refute_10_9,refute_10_10]) ).
cnf(refute_10_12,plain,
( e4 = e0
| op(e0,e0) = e0
| op(e2,e2) = e0
| op(e3,e3) = e0
| op(e4,e4) = e0 ),
inference(resolve,[$cnf( $equal(op(e1,e1),e0) )],[refute_10_3,refute_10_11]) ).
cnf(refute_10_13,plain,
e3 = op(op(op(e1,e1),op(e1,e1)),op(op(e1,e1),op(e1,e1))),
inference(canonicalize,[],[normalize_10_9]) ).
cnf(refute_10_14,plain,
e2 = op(op(e1,e1),op(e1,e1)),
inference(canonicalize,[],[normalize_10_10]) ).
cnf(refute_10_15,plain,
( e2 != op(op(e1,e1),op(e1,e1))
| op(op(e1,e1),op(e1,e1)) = e2 ),
inference(subst,[],[refute_10_7:[bind(X,$fot(e2)),bind(Y,$fot(op(op(e1,e1),op(e1,e1))))]]) ).
cnf(refute_10_16,plain,
op(op(e1,e1),op(e1,e1)) = e2,
inference(resolve,[$cnf( $equal(e2,op(op(e1,e1),op(e1,e1))) )],[refute_10_14,refute_10_15]) ).
cnf(refute_10_17,plain,
op(e2,op(op(e1,e1),op(e1,e1))) = op(e2,op(op(e1,e1),op(e1,e1))),
introduced(tautology,[refl,[$fot(op(e2,op(op(e1,e1),op(e1,e1))))]]) ).
cnf(refute_10_18,plain,
( op(e2,op(op(e1,e1),op(e1,e1))) != op(e2,op(op(e1,e1),op(e1,e1)))
| op(op(e1,e1),op(e1,e1)) != e2
| op(e2,op(op(e1,e1),op(e1,e1))) = op(e2,e2) ),
introduced(tautology,[equality,[$cnf( $equal(op(e2,op(op(e1,e1),op(e1,e1))),op(e2,op(op(e1,e1),op(e1,e1)))) ),[1,1],$fot(e2)]]) ).
cnf(refute_10_19,plain,
( op(op(e1,e1),op(e1,e1)) != e2
| op(e2,op(op(e1,e1),op(e1,e1))) = op(e2,e2) ),
inference(resolve,[$cnf( $equal(op(e2,op(op(e1,e1),op(e1,e1))),op(e2,op(op(e1,e1),op(e1,e1)))) )],[refute_10_17,refute_10_18]) ).
cnf(refute_10_20,plain,
op(e2,op(op(e1,e1),op(e1,e1))) = op(e2,e2),
inference(resolve,[$cnf( $equal(op(op(e1,e1),op(e1,e1)),e2) )],[refute_10_16,refute_10_19]) ).
cnf(refute_10_21,plain,
op(op(op(e1,e1),op(e1,e1)),op(op(e1,e1),op(e1,e1))) = op(op(op(e1,e1),op(e1,e1)),op(op(e1,e1),op(e1,e1))),
introduced(tautology,[refl,[$fot(op(op(op(e1,e1),op(e1,e1)),op(op(e1,e1),op(e1,e1))))]]) ).
cnf(refute_10_22,plain,
( op(op(e1,e1),op(e1,e1)) != e2
| op(op(op(e1,e1),op(e1,e1)),op(op(e1,e1),op(e1,e1))) != op(op(op(e1,e1),op(e1,e1)),op(op(e1,e1),op(e1,e1)))
| op(op(op(e1,e1),op(e1,e1)),op(op(e1,e1),op(e1,e1))) = op(e2,op(op(e1,e1),op(e1,e1))) ),
introduced(tautology,[equality,[$cnf( $equal(op(op(op(e1,e1),op(e1,e1)),op(op(e1,e1),op(e1,e1))),op(op(op(e1,e1),op(e1,e1)),op(op(e1,e1),op(e1,e1)))) ),[1,0],$fot(e2)]]) ).
cnf(refute_10_23,plain,
( op(op(e1,e1),op(e1,e1)) != e2
| op(op(op(e1,e1),op(e1,e1)),op(op(e1,e1),op(e1,e1))) = op(e2,op(op(e1,e1),op(e1,e1))) ),
inference(resolve,[$cnf( $equal(op(op(op(e1,e1),op(e1,e1)),op(op(e1,e1),op(e1,e1))),op(op(op(e1,e1),op(e1,e1)),op(op(e1,e1),op(e1,e1)))) )],[refute_10_21,refute_10_22]) ).
cnf(refute_10_24,plain,
op(op(op(e1,e1),op(e1,e1)),op(op(e1,e1),op(e1,e1))) = op(e2,op(op(e1,e1),op(e1,e1))),
inference(resolve,[$cnf( $equal(op(op(e1,e1),op(e1,e1)),e2) )],[refute_10_16,refute_10_23]) ).
cnf(refute_10_25,plain,
( Y != X
| Y != Z
| X = Z ),
introduced(tautology,[equality,[$cnf( $equal(Y,Z) ),[0],$fot(X)]]) ).
cnf(refute_10_26,plain,
( X != Y
| Y != Z
| X = Z ),
inference(resolve,[$cnf( $equal(Y,X) )],[refute_10_7,refute_10_25]) ).
cnf(refute_10_27,plain,
( op(e2,op(op(e1,e1),op(e1,e1))) != op(e2,e2)
| op(op(op(e1,e1),op(e1,e1)),op(op(e1,e1),op(e1,e1))) != op(e2,op(op(e1,e1),op(e1,e1)))
| op(op(op(e1,e1),op(e1,e1)),op(op(e1,e1),op(e1,e1))) = op(e2,e2) ),
inference(subst,[],[refute_10_26:[bind(X,$fot(op(op(op(e1,e1),op(e1,e1)),op(op(e1,e1),op(e1,e1))))),bind(Y,$fot(op(e2,op(op(e1,e1),op(e1,e1))))),bind(Z,$fot(op(e2,e2)))]]) ).
cnf(refute_10_28,plain,
( op(e2,op(op(e1,e1),op(e1,e1))) != op(e2,e2)
| op(op(op(e1,e1),op(e1,e1)),op(op(e1,e1),op(e1,e1))) = op(e2,e2) ),
inference(resolve,[$cnf( $equal(op(op(op(e1,e1),op(e1,e1)),op(op(e1,e1),op(e1,e1))),op(e2,op(op(e1,e1),op(e1,e1)))) )],[refute_10_24,refute_10_27]) ).
cnf(refute_10_29,plain,
op(op(op(e1,e1),op(e1,e1)),op(op(e1,e1),op(e1,e1))) = op(e2,e2),
inference(resolve,[$cnf( $equal(op(e2,op(op(e1,e1),op(e1,e1))),op(e2,e2)) )],[refute_10_20,refute_10_28]) ).
cnf(refute_10_30,plain,
( e3 != op(op(op(e1,e1),op(e1,e1)),op(op(e1,e1),op(e1,e1)))
| op(op(op(e1,e1),op(e1,e1)),op(op(e1,e1),op(e1,e1))) != op(e2,e2)
| e3 = op(e2,e2) ),
introduced(tautology,[equality,[$cnf( ~ $equal(e3,op(e2,e2)) ),[0],$fot(op(op(op(e1,e1),op(e1,e1)),op(op(e1,e1),op(e1,e1))))]]) ).
cnf(refute_10_31,plain,
( e3 != op(op(op(e1,e1),op(e1,e1)),op(op(e1,e1),op(e1,e1)))
| e3 = op(e2,e2) ),
inference(resolve,[$cnf( $equal(op(op(op(e1,e1),op(e1,e1)),op(op(e1,e1),op(e1,e1))),op(e2,e2)) )],[refute_10_29,refute_10_30]) ).
cnf(refute_10_32,plain,
e3 = op(e2,e2),
inference(resolve,[$cnf( $equal(e3,op(op(op(e1,e1),op(e1,e1)),op(op(e1,e1),op(e1,e1)))) )],[refute_10_13,refute_10_31]) ).
cnf(refute_10_33,plain,
( e3 != op(e2,e2)
| op(e2,e2) = e3 ),
inference(subst,[],[refute_10_7:[bind(X,$fot(e3)),bind(Y,$fot(op(e2,e2)))]]) ).
cnf(refute_10_34,plain,
op(e2,e2) = e3,
inference(resolve,[$cnf( $equal(e3,op(e2,e2)) )],[refute_10_32,refute_10_33]) ).
cnf(refute_10_35,plain,
( op(e2,e2) != e0
| op(e2,e2) != e3
| e3 = e0 ),
introduced(tautology,[equality,[$cnf( $equal(op(e2,e2),e0) ),[0],$fot(e3)]]) ).
cnf(refute_10_36,plain,
( op(e2,e2) != e0
| e3 = e0 ),
inference(resolve,[$cnf( $equal(op(e2,e2),e3) )],[refute_10_34,refute_10_35]) ).
cnf(refute_10_37,plain,
( e3 = e0
| e4 = e0
| op(e0,e0) = e0
| op(e3,e3) = e0
| op(e4,e4) = e0 ),
inference(resolve,[$cnf( $equal(op(e2,e2),e0) )],[refute_10_12,refute_10_36]) ).
cnf(refute_10_38,plain,
op(e4,op(e1,e1)) = op(e4,op(e1,e1)),
introduced(tautology,[refl,[$fot(op(e4,op(e1,e1)))]]) ).
cnf(refute_10_39,plain,
( op(e1,e1) != e4
| op(e4,op(e1,e1)) != op(e4,op(e1,e1))
| op(e4,op(e1,e1)) = op(e4,e4) ),
introduced(tautology,[equality,[$cnf( $equal(op(e4,op(e1,e1)),op(e4,op(e1,e1))) ),[1,1],$fot(e4)]]) ).
cnf(refute_10_40,plain,
( op(e1,e1) != e4
| op(e4,op(e1,e1)) = op(e4,e4) ),
inference(resolve,[$cnf( $equal(op(e4,op(e1,e1)),op(e4,op(e1,e1))) )],[refute_10_38,refute_10_39]) ).
cnf(refute_10_41,plain,
op(e4,op(e1,e1)) = op(e4,e4),
inference(resolve,[$cnf( $equal(op(e1,e1),e4) )],[refute_10_9,refute_10_40]) ).
cnf(refute_10_42,plain,
op(op(e1,e1),op(e1,e1)) = op(op(e1,e1),op(e1,e1)),
introduced(tautology,[refl,[$fot(op(op(e1,e1),op(e1,e1)))]]) ).
cnf(refute_10_43,plain,
( op(e1,e1) != e4
| op(op(e1,e1),op(e1,e1)) != op(op(e1,e1),op(e1,e1))
| op(op(e1,e1),op(e1,e1)) = op(e4,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(e4)]]) ).
cnf(refute_10_44,plain,
( op(e1,e1) != e4
| op(op(e1,e1),op(e1,e1)) = op(e4,op(e1,e1)) ),
inference(resolve,[$cnf( $equal(op(op(e1,e1),op(e1,e1)),op(op(e1,e1),op(e1,e1))) )],[refute_10_42,refute_10_43]) ).
cnf(refute_10_45,plain,
op(op(e1,e1),op(e1,e1)) = op(e4,op(e1,e1)),
inference(resolve,[$cnf( $equal(op(e1,e1),e4) )],[refute_10_9,refute_10_44]) ).
cnf(refute_10_46,plain,
( op(e4,op(e1,e1)) != op(e4,e4)
| op(op(e1,e1),op(e1,e1)) != op(e4,op(e1,e1))
| op(op(e1,e1),op(e1,e1)) = op(e4,e4) ),
inference(subst,[],[refute_10_26:[bind(X,$fot(op(op(e1,e1),op(e1,e1)))),bind(Y,$fot(op(e4,op(e1,e1)))),bind(Z,$fot(op(e4,e4)))]]) ).
cnf(refute_10_47,plain,
( op(e4,op(e1,e1)) != op(e4,e4)
| op(op(e1,e1),op(e1,e1)) = op(e4,e4) ),
inference(resolve,[$cnf( $equal(op(op(e1,e1),op(e1,e1)),op(e4,op(e1,e1))) )],[refute_10_45,refute_10_46]) ).
cnf(refute_10_48,plain,
op(op(e1,e1),op(e1,e1)) = op(e4,e4),
inference(resolve,[$cnf( $equal(op(e4,op(e1,e1)),op(e4,e4)) )],[refute_10_41,refute_10_47]) ).
cnf(refute_10_49,plain,
( e2 != op(op(e1,e1),op(e1,e1))
| op(op(e1,e1),op(e1,e1)) != op(e4,e4)
| e2 = op(e4,e4) ),
introduced(tautology,[equality,[$cnf( ~ $equal(e2,op(e4,e4)) ),[0],$fot(op(op(e1,e1),op(e1,e1)))]]) ).
cnf(refute_10_50,plain,
( e2 != op(op(e1,e1),op(e1,e1))
| e2 = op(e4,e4) ),
inference(resolve,[$cnf( $equal(op(op(e1,e1),op(e1,e1)),op(e4,e4)) )],[refute_10_48,refute_10_49]) ).
cnf(refute_10_51,plain,
e2 = op(e4,e4),
inference(resolve,[$cnf( $equal(e2,op(op(e1,e1),op(e1,e1))) )],[refute_10_14,refute_10_50]) ).
cnf(refute_10_52,plain,
( e2 != op(e4,e4)
| op(e4,e4) = e2 ),
inference(subst,[],[refute_10_7:[bind(X,$fot(e2)),bind(Y,$fot(op(e4,e4)))]]) ).
cnf(refute_10_53,plain,
op(e4,e4) = e2,
inference(resolve,[$cnf( $equal(e2,op(e4,e4)) )],[refute_10_51,refute_10_52]) ).
cnf(refute_10_54,plain,
( op(e4,e4) != e0
| op(e4,e4) != e2
| e2 = e0 ),
introduced(tautology,[equality,[$cnf( $equal(op(e4,e4),e0) ),[0],$fot(e2)]]) ).
cnf(refute_10_55,plain,
( op(e4,e4) != e0
| e2 = e0 ),
inference(resolve,[$cnf( $equal(op(e4,e4),e2) )],[refute_10_53,refute_10_54]) ).
cnf(refute_10_56,plain,
( e2 = e0
| e3 = e0
| e4 = e0
| op(e0,e0) = e0
| op(e3,e3) = e0 ),
inference(resolve,[$cnf( $equal(op(e4,e4),e0) )],[refute_10_37,refute_10_55]) ).
cnf(refute_10_57,plain,
e0 != e2,
inference(canonicalize,[],[normalize_10_12]) ).
cnf(refute_10_58,plain,
( e2 != e0
| e0 = e2 ),
inference(subst,[],[refute_10_7:[bind(X,$fot(e2)),bind(Y,$fot(e0))]]) ).
cnf(refute_10_59,plain,
e2 != e0,
inference(resolve,[$cnf( $equal(e0,e2) )],[refute_10_58,refute_10_57]) ).
cnf(refute_10_60,plain,
( e3 = e0
| e4 = e0
| op(e0,e0) = e0
| op(e3,e3) = e0 ),
inference(resolve,[$cnf( $equal(e2,e0) )],[refute_10_56,refute_10_59]) ).
cnf(refute_10_61,plain,
e0 != e3,
inference(canonicalize,[],[normalize_10_13]) ).
cnf(refute_10_62,plain,
( e3 != e0
| e0 = e3 ),
inference(subst,[],[refute_10_7:[bind(X,$fot(e3)),bind(Y,$fot(e0))]]) ).
cnf(refute_10_63,plain,
e3 != e0,
inference(resolve,[$cnf( $equal(e0,e3) )],[refute_10_62,refute_10_61]) ).
cnf(refute_10_64,plain,
( e4 = e0
| op(e0,e0) = e0
| op(e3,e3) = e0 ),
inference(resolve,[$cnf( $equal(e3,e0) )],[refute_10_60,refute_10_63]) ).
cnf(refute_10_65,plain,
e0 != e4,
inference(canonicalize,[],[normalize_10_14]) ).
cnf(refute_10_66,plain,
( e4 != e0
| e0 = e4 ),
inference(subst,[],[refute_10_7:[bind(X,$fot(e4)),bind(Y,$fot(e0))]]) ).
cnf(refute_10_67,plain,
e4 != e0,
inference(resolve,[$cnf( $equal(e0,e4) )],[refute_10_66,refute_10_65]) ).
cnf(refute_10_68,plain,
( op(e0,e0) = e0
| op(e3,e3) = e0 ),
inference(resolve,[$cnf( $equal(e4,e0) )],[refute_10_64,refute_10_67]) ).
cnf(refute_10_69,plain,
( op(e3,e0) != e0
| op(e3,e3) != e0
| op(e3,e0) = op(e3,e3) ),
introduced(tautology,[equality,[$cnf( ~ $equal(op(e3,e0),op(e3,e3)) ),[1],$fot(e0)]]) ).
cnf(refute_10_70,plain,
( op(e3,e0) != e0
| op(e0,e0) = e0
| op(e3,e0) = op(e3,e3) ),
inference(resolve,[$cnf( $equal(op(e3,e3),e0) )],[refute_10_68,refute_10_69]) ).
cnf(refute_10_71,plain,
( op(e3,e0) != e0
| op(e0,e0) = e0 ),
inference(resolve,[$cnf( $equal(op(e3,e0),op(e3,e3)) )],[refute_10_70,refute_10_2]) ).
cnf(refute_10_72,plain,
op(unit,e0) = e0,
inference(canonicalize,[],[normalize_10_15]) ).
cnf(refute_10_73,plain,
op(unit,e4) = e4,
inference(canonicalize,[],[normalize_10_16]) ).
cnf(refute_10_74,plain,
op(unit,e3) = e3,
inference(canonicalize,[],[normalize_10_17]) ).
cnf(refute_10_75,plain,
( unit = e0
| unit = e1
| unit = e2
| unit = e3
| unit = e4 ),
inference(canonicalize,[],[normalize_10_18]) ).
cnf(refute_10_76,plain,
( op(unit,e4) != e4
| unit != e1
| op(e1,e4) = e4 ),
introduced(tautology,[equality,[$cnf( $equal(op(unit,e4),e4) ),[0,0],$fot(e1)]]) ).
cnf(refute_10_77,plain,
( op(unit,e4) != e4
| op(e1,e4) = e4
| unit = e0
| unit = e2
| unit = e3
| unit = e4 ),
inference(resolve,[$cnf( $equal(unit,e1) )],[refute_10_75,refute_10_76]) ).
cnf(refute_10_78,plain,
( op(e1,e4) = e4
| unit = e0
| unit = e2
| unit = e3
| unit = e4 ),
inference(resolve,[$cnf( $equal(op(unit,e4),e4) )],[refute_10_73,refute_10_77]) ).
cnf(refute_10_79,plain,
op(e1,e1) != op(e1,e4),
inference(canonicalize,[],[normalize_10_19]) ).
cnf(refute_10_80,plain,
( e4 != op(e1,e4)
| op(e1,e1) != e4
| op(e1,e1) = op(e1,e4) ),
introduced(tautology,[equality,[$cnf( $equal(op(e1,e1),e4) ),[1],$fot(op(e1,e4))]]) ).
cnf(refute_10_81,plain,
( e4 != op(e1,e4)
| op(e1,e1) = op(e1,e4) ),
inference(resolve,[$cnf( $equal(op(e1,e1),e4) )],[refute_10_9,refute_10_80]) ).
cnf(refute_10_82,plain,
e4 != op(e1,e4),
inference(resolve,[$cnf( $equal(op(e1,e1),op(e1,e4)) )],[refute_10_81,refute_10_79]) ).
cnf(refute_10_83,plain,
( op(e1,e4) != e4
| e4 = op(e1,e4) ),
inference(subst,[],[refute_10_7:[bind(X,$fot(op(e1,e4))),bind(Y,$fot(e4))]]) ).
cnf(refute_10_84,plain,
op(e1,e4) != e4,
inference(resolve,[$cnf( $equal(e4,op(e1,e4)) )],[refute_10_83,refute_10_82]) ).
cnf(refute_10_85,plain,
( unit = e0
| unit = e2
| unit = e3
| unit = e4 ),
inference(resolve,[$cnf( $equal(op(e1,e4),e4) )],[refute_10_78,refute_10_84]) ).
cnf(refute_10_86,plain,
( op(unit,e3) != e3
| unit != e2
| op(e2,e3) = e3 ),
introduced(tautology,[equality,[$cnf( $equal(op(unit,e3),e3) ),[0,0],$fot(e2)]]) ).
cnf(refute_10_87,plain,
( op(unit,e3) != e3
| op(e2,e3) = e3
| unit = e0
| unit = e3
| unit = e4 ),
inference(resolve,[$cnf( $equal(unit,e2) )],[refute_10_85,refute_10_86]) ).
cnf(refute_10_88,plain,
( op(e2,e3) = e3
| unit = e0
| unit = e3
| unit = e4 ),
inference(resolve,[$cnf( $equal(op(unit,e3),e3) )],[refute_10_74,refute_10_87]) ).
cnf(refute_10_89,plain,
op(e2,e2) != op(e2,e3),
inference(canonicalize,[],[normalize_10_20]) ).
cnf(refute_10_90,plain,
( e3 != op(e2,e3)
| op(e2,e2) != e3
| op(e2,e2) = op(e2,e3) ),
introduced(tautology,[equality,[$cnf( $equal(op(e2,e2),e3) ),[1],$fot(op(e2,e3))]]) ).
cnf(refute_10_91,plain,
( e3 != op(e2,e3)
| op(e2,e2) = op(e2,e3) ),
inference(resolve,[$cnf( $equal(op(e2,e2),e3) )],[refute_10_34,refute_10_90]) ).
cnf(refute_10_92,plain,
e3 != op(e2,e3),
inference(resolve,[$cnf( $equal(op(e2,e2),op(e2,e3)) )],[refute_10_91,refute_10_89]) ).
cnf(refute_10_93,plain,
( op(e2,e3) != e3
| e3 = op(e2,e3) ),
inference(subst,[],[refute_10_7:[bind(X,$fot(op(e2,e3))),bind(Y,$fot(e3))]]) ).
cnf(refute_10_94,plain,
op(e2,e3) != e3,
inference(resolve,[$cnf( $equal(e3,op(e2,e3)) )],[refute_10_93,refute_10_92]) ).
cnf(refute_10_95,plain,
( unit = e0
| unit = e3
| unit = e4 ),
inference(resolve,[$cnf( $equal(op(e2,e3),e3) )],[refute_10_88,refute_10_94]) ).
cnf(refute_10_96,plain,
( op(unit,e4) != e4
| unit != e4
| op(e4,e4) = e4 ),
introduced(tautology,[equality,[$cnf( $equal(op(unit,e4),e4) ),[0,0],$fot(e4)]]) ).
cnf(refute_10_97,plain,
( op(unit,e4) != e4
| op(e4,e4) = e4
| unit = e0
| unit = e3 ),
inference(resolve,[$cnf( $equal(unit,e4) )],[refute_10_95,refute_10_96]) ).
cnf(refute_10_98,plain,
( op(e4,e4) = e4
| unit = e0
| unit = e3 ),
inference(resolve,[$cnf( $equal(op(unit,e4),e4) )],[refute_10_73,refute_10_97]) ).
cnf(refute_10_99,plain,
( op(e4,e4) != e2
| op(e4,e4) != e4
| e2 = e4 ),
introduced(tautology,[equality,[$cnf( $equal(op(e4,e4),e4) ),[0],$fot(e2)]]) ).
cnf(refute_10_100,plain,
( op(e4,e4) != e4
| e2 = e4 ),
inference(resolve,[$cnf( $equal(op(e4,e4),e2) )],[refute_10_53,refute_10_99]) ).
cnf(refute_10_101,plain,
( e2 = e4
| unit = e0
| unit = e3 ),
inference(resolve,[$cnf( $equal(op(e4,e4),e4) )],[refute_10_98,refute_10_100]) ).
cnf(refute_10_102,plain,
e2 != e4,
inference(canonicalize,[],[normalize_10_21]) ).
cnf(refute_10_103,plain,
( unit = e0
| unit = e3 ),
inference(resolve,[$cnf( $equal(e2,e4) )],[refute_10_101,refute_10_102]) ).
cnf(refute_10_104,plain,
( op(unit,e0) != e0
| unit != e3
| op(e3,e0) = e0 ),
introduced(tautology,[equality,[$cnf( $equal(op(unit,e0),e0) ),[0,0],$fot(e3)]]) ).
cnf(refute_10_105,plain,
( op(unit,e0) != e0
| op(e3,e0) = e0
| unit = e0 ),
inference(resolve,[$cnf( $equal(unit,e3) )],[refute_10_103,refute_10_104]) ).
cnf(refute_10_106,plain,
( op(e3,e0) = e0
| unit = e0 ),
inference(resolve,[$cnf( $equal(op(unit,e0),e0) )],[refute_10_72,refute_10_105]) ).
cnf(refute_10_107,plain,
( e0 != e0
| op(e3,e0) != e0
| op(e3,e0) = e0 ),
introduced(tautology,[equality,[$cnf( $equal(op(e3,e0),e0) ),[0,1],$fot(e0)]]) ).
cnf(refute_10_108,plain,
( e0 != e0
| op(e3,e0) = e0
| unit = e0 ),
inference(resolve,[$cnf( $equal(op(e3,e0),e0) )],[refute_10_106,refute_10_107]) ).
cnf(refute_10_109,plain,
( e0 != e0
| op(e0,e0) = e0
| unit = e0 ),
inference(resolve,[$cnf( $equal(op(e3,e0),e0) )],[refute_10_108,refute_10_71]) ).
cnf(refute_10_110,plain,
e0 = e0,
introduced(tautology,[refl,[$fot(e0)]]) ).
cnf(refute_10_111,plain,
( op(e0,e0) = e0
| unit = e0 ),
inference(resolve,[$cnf( $equal(e0,e0) )],[refute_10_110,refute_10_109]) ).
cnf(refute_10_112,plain,
op(e1,e3) != op(e3,e3),
inference(canonicalize,[],[normalize_10_22]) ).
cnf(refute_10_113,plain,
( op(e0,e0) = e1
| op(e1,e1) = e1
| op(e2,e2) = e1
| op(e3,e3) = e1
| op(e4,e4) = e1 ),
inference(canonicalize,[],[normalize_10_23]) ).
cnf(refute_10_114,plain,
( op(e1,e1) != e1
| op(e1,e1) != e4
| e4 = e1 ),
introduced(tautology,[equality,[$cnf( $equal(op(e1,e1),e1) ),[0],$fot(e4)]]) ).
cnf(refute_10_115,plain,
( op(e1,e1) != e1
| e4 = e1 ),
inference(resolve,[$cnf( $equal(op(e1,e1),e4) )],[refute_10_9,refute_10_114]) ).
cnf(refute_10_116,plain,
( e4 = e1
| op(e0,e0) = e1
| op(e2,e2) = e1
| op(e3,e3) = e1
| op(e4,e4) = e1 ),
inference(resolve,[$cnf( $equal(op(e1,e1),e1) )],[refute_10_113,refute_10_115]) ).
cnf(refute_10_117,plain,
( op(e2,e2) != e1
| op(e2,e2) != e3
| e3 = e1 ),
introduced(tautology,[equality,[$cnf( $equal(op(e2,e2),e1) ),[0],$fot(e3)]]) ).
cnf(refute_10_118,plain,
( op(e2,e2) != e1
| e3 = e1 ),
inference(resolve,[$cnf( $equal(op(e2,e2),e3) )],[refute_10_34,refute_10_117]) ).
cnf(refute_10_119,plain,
( e3 = e1
| e4 = e1
| op(e0,e0) = e1
| op(e3,e3) = e1
| op(e4,e4) = e1 ),
inference(resolve,[$cnf( $equal(op(e2,e2),e1) )],[refute_10_116,refute_10_118]) ).
cnf(refute_10_120,plain,
( op(e4,e4) != e1
| op(e4,e4) != e2
| e2 = e1 ),
introduced(tautology,[equality,[$cnf( $equal(op(e4,e4),e1) ),[0],$fot(e2)]]) ).
cnf(refute_10_121,plain,
( op(e4,e4) != e1
| e2 = e1 ),
inference(resolve,[$cnf( $equal(op(e4,e4),e2) )],[refute_10_53,refute_10_120]) ).
cnf(refute_10_122,plain,
( e2 = e1
| e3 = e1
| e4 = e1
| op(e0,e0) = e1
| op(e3,e3) = e1 ),
inference(resolve,[$cnf( $equal(op(e4,e4),e1) )],[refute_10_119,refute_10_121]) ).
cnf(refute_10_123,plain,
e1 != e2,
inference(canonicalize,[],[normalize_10_24]) ).
cnf(refute_10_124,plain,
( e2 != e1
| e1 = e2 ),
inference(subst,[],[refute_10_7:[bind(X,$fot(e2)),bind(Y,$fot(e1))]]) ).
cnf(refute_10_125,plain,
e2 != e1,
inference(resolve,[$cnf( $equal(e1,e2) )],[refute_10_124,refute_10_123]) ).
cnf(refute_10_126,plain,
( e3 = e1
| e4 = e1
| op(e0,e0) = e1
| op(e3,e3) = e1 ),
inference(resolve,[$cnf( $equal(e2,e1) )],[refute_10_122,refute_10_125]) ).
cnf(refute_10_127,plain,
e1 != e3,
inference(canonicalize,[],[normalize_10_25]) ).
cnf(refute_10_128,plain,
( e3 != e1
| e1 = e3 ),
inference(subst,[],[refute_10_7:[bind(X,$fot(e3)),bind(Y,$fot(e1))]]) ).
cnf(refute_10_129,plain,
e3 != e1,
inference(resolve,[$cnf( $equal(e1,e3) )],[refute_10_128,refute_10_127]) ).
cnf(refute_10_130,plain,
( e4 = e1
| op(e0,e0) = e1
| op(e3,e3) = e1 ),
inference(resolve,[$cnf( $equal(e3,e1) )],[refute_10_126,refute_10_129]) ).
cnf(refute_10_131,plain,
e1 != e4,
inference(canonicalize,[],[normalize_10_26]) ).
cnf(refute_10_132,plain,
( e4 != e1
| e1 = e4 ),
inference(subst,[],[refute_10_7:[bind(X,$fot(e4)),bind(Y,$fot(e1))]]) ).
cnf(refute_10_133,plain,
e4 != e1,
inference(resolve,[$cnf( $equal(e1,e4) )],[refute_10_132,refute_10_131]) ).
cnf(refute_10_134,plain,
( op(e0,e0) = e1
| op(e3,e3) = e1 ),
inference(resolve,[$cnf( $equal(e4,e1) )],[refute_10_130,refute_10_133]) ).
cnf(refute_10_135,plain,
( op(e1,e3) != e1
| op(e3,e3) != e1
| op(e1,e3) = op(e3,e3) ),
introduced(tautology,[equality,[$cnf( ~ $equal(op(e1,e3),op(e3,e3)) ),[1],$fot(e1)]]) ).
cnf(refute_10_136,plain,
( op(e1,e3) != e1
| op(e0,e0) = e1
| op(e1,e3) = op(e3,e3) ),
inference(resolve,[$cnf( $equal(op(e3,e3),e1) )],[refute_10_134,refute_10_135]) ).
cnf(refute_10_137,plain,
( op(e1,e3) != e1
| op(e0,e0) = e1 ),
inference(resolve,[$cnf( $equal(op(e1,e3),op(e3,e3)) )],[refute_10_136,refute_10_112]) ).
cnf(refute_10_138,plain,
op(e1,unit) = e1,
inference(canonicalize,[],[normalize_10_27]) ).
cnf(refute_10_139,plain,
( op(e1,unit) != e1
| unit != e3
| op(e1,e3) = e1 ),
introduced(tautology,[equality,[$cnf( $equal(op(e1,unit),e1) ),[0,1],$fot(e3)]]) ).
cnf(refute_10_140,plain,
( op(e1,unit) != e1
| op(e1,e3) = e1
| unit = e0 ),
inference(resolve,[$cnf( $equal(unit,e3) )],[refute_10_103,refute_10_139]) ).
cnf(refute_10_141,plain,
( op(e1,e3) = e1
| unit = e0 ),
inference(resolve,[$cnf( $equal(op(e1,unit),e1) )],[refute_10_138,refute_10_140]) ).
cnf(refute_10_142,plain,
( e1 != e1
| op(e1,e3) != e1
| op(e1,e3) = e1 ),
introduced(tautology,[equality,[$cnf( $equal(op(e1,e3),e1) ),[0,0],$fot(e1)]]) ).
cnf(refute_10_143,plain,
( e1 != e1
| op(e1,e3) = e1
| unit = e0 ),
inference(resolve,[$cnf( $equal(op(e1,e3),e1) )],[refute_10_141,refute_10_142]) ).
cnf(refute_10_144,plain,
( e1 != e1
| op(e0,e0) = e1
| unit = e0 ),
inference(resolve,[$cnf( $equal(op(e1,e3),e1) )],[refute_10_143,refute_10_137]) ).
cnf(refute_10_145,plain,
e1 = e1,
introduced(tautology,[refl,[$fot(e1)]]) ).
cnf(refute_10_146,plain,
( op(e0,e0) = e1
| unit = e0 ),
inference(resolve,[$cnf( $equal(e1,e1) )],[refute_10_145,refute_10_144]) ).
cnf(refute_10_147,plain,
( op(e0,e0) != e0
| op(e0,e0) != e1
| e1 = e0 ),
introduced(tautology,[equality,[$cnf( $equal(op(e0,e0),e0) ),[0],$fot(e1)]]) ).
cnf(refute_10_148,plain,
( op(e0,e0) != e0
| e1 = e0
| unit = e0 ),
inference(resolve,[$cnf( $equal(op(e0,e0),e1) )],[refute_10_146,refute_10_147]) ).
cnf(refute_10_149,plain,
( e1 = e0
| unit = e0 ),
inference(resolve,[$cnf( $equal(op(e0,e0),e0) )],[refute_10_111,refute_10_148]) ).
cnf(refute_10_150,plain,
e0 != e1,
inference(canonicalize,[],[normalize_10_28]) ).
cnf(refute_10_151,plain,
( e1 != e0
| e0 = e1 ),
inference(subst,[],[refute_10_7:[bind(X,$fot(e1)),bind(Y,$fot(e0))]]) ).
cnf(refute_10_152,plain,
e1 != e0,
inference(resolve,[$cnf( $equal(e0,e1) )],[refute_10_151,refute_10_150]) ).
cnf(refute_10_153,plain,
unit = e0,
inference(resolve,[$cnf( $equal(e1,e0) )],[refute_10_149,refute_10_152]) ).
cnf(refute_10_154,plain,
op(unit,e2) = op(unit,e2),
introduced(tautology,[refl,[$fot(op(unit,e2))]]) ).
cnf(refute_10_155,plain,
( op(unit,e2) != op(unit,e2)
| unit != e0
| op(unit,e2) = op(e0,e2) ),
introduced(tautology,[equality,[$cnf( $equal(op(unit,e2),op(unit,e2)) ),[1,0],$fot(e0)]]) ).
cnf(refute_10_156,plain,
( unit != e0
| op(unit,e2) = op(e0,e2) ),
inference(resolve,[$cnf( $equal(op(unit,e2),op(unit,e2)) )],[refute_10_154,refute_10_155]) ).
cnf(refute_10_157,plain,
op(unit,e2) = op(e0,e2),
inference(resolve,[$cnf( $equal(unit,e0) )],[refute_10_153,refute_10_156]) ).
cnf(refute_10_158,plain,
( op(unit,e2) != e2
| op(unit,e2) != op(e0,e2)
| op(e0,e2) = e2 ),
introduced(tautology,[equality,[$cnf( $equal(op(unit,e2),e2) ),[0],$fot(op(e0,e2))]]) ).
cnf(refute_10_159,plain,
( op(unit,e2) != e2
| op(e0,e2) = e2 ),
inference(resolve,[$cnf( $equal(op(unit,e2),op(e0,e2)) )],[refute_10_157,refute_10_158]) ).
cnf(refute_10_160,plain,
op(e0,e2) = e2,
inference(resolve,[$cnf( $equal(op(unit,e2),e2) )],[refute_10_1,refute_10_159]) ).
cnf(refute_10_161,plain,
( e2 != op(e2,e0)
| op(e0,e2) != e2
| op(e0,e2) = op(e2,e0) ),
introduced(tautology,[equality,[$cnf( $equal(op(e0,e2),e2) ),[1],$fot(op(e2,e0))]]) ).
cnf(refute_10_162,plain,
( e2 != op(e2,e0)
| op(e0,e2) = op(e2,e0) ),
inference(resolve,[$cnf( $equal(op(e0,e2),e2) )],[refute_10_160,refute_10_161]) ).
cnf(refute_10_163,plain,
op(e2,unit) = e2,
inference(canonicalize,[],[normalize_10_29]) ).
cnf(refute_10_164,plain,
op(e2,unit) = op(e2,unit),
introduced(tautology,[refl,[$fot(op(e2,unit))]]) ).
cnf(refute_10_165,plain,
( op(e2,unit) != op(e2,unit)
| unit != e0
| op(e2,unit) = op(e2,e0) ),
introduced(tautology,[equality,[$cnf( $equal(op(e2,unit),op(e2,unit)) ),[1,1],$fot(e0)]]) ).
cnf(refute_10_166,plain,
( unit != e0
| op(e2,unit) = op(e2,e0) ),
inference(resolve,[$cnf( $equal(op(e2,unit),op(e2,unit)) )],[refute_10_164,refute_10_165]) ).
cnf(refute_10_167,plain,
op(e2,unit) = op(e2,e0),
inference(resolve,[$cnf( $equal(unit,e0) )],[refute_10_153,refute_10_166]) ).
cnf(refute_10_168,plain,
( op(e2,unit) != e2
| op(e2,unit) != op(e2,e0)
| op(e2,e0) = e2 ),
introduced(tautology,[equality,[$cnf( $equal(op(e2,unit),e2) ),[0],$fot(op(e2,e0))]]) ).
cnf(refute_10_169,plain,
( op(e2,unit) != e2
| op(e2,e0) = e2 ),
inference(resolve,[$cnf( $equal(op(e2,unit),op(e2,e0)) )],[refute_10_167,refute_10_168]) ).
cnf(refute_10_170,plain,
op(e2,e0) = e2,
inference(resolve,[$cnf( $equal(op(e2,unit),e2) )],[refute_10_163,refute_10_169]) ).
cnf(refute_10_171,plain,
( e2 != e2
| op(e2,e0) != e2
| e2 = op(e2,e0) ),
introduced(tautology,[equality,[$cnf( ~ $equal(e2,op(e2,e0)) ),[1],$fot(e2)]]) ).
cnf(refute_10_172,plain,
( e2 != e2
| e2 = op(e2,e0) ),
inference(resolve,[$cnf( $equal(op(e2,e0),e2) )],[refute_10_170,refute_10_171]) ).
cnf(refute_10_173,plain,
( e2 != e2
| op(e0,e2) = op(e2,e0) ),
inference(resolve,[$cnf( $equal(e2,op(e2,e0)) )],[refute_10_172,refute_10_162]) ).
cnf(refute_10_174,plain,
e2 != e2,
inference(resolve,[$cnf( $equal(op(e0,e2),op(e2,e0)) )],[refute_10_173,refute_10_0]) ).
cnf(refute_10_175,plain,
e2 = e2,
introduced(tautology,[refl,[$fot(e2)]]) ).
cnf(refute_10_176,plain,
$false,
inference(resolve,[$cnf( $equal(e2,e2) )],[refute_10_175,refute_10_174]) ).
fof(negate_11_0,plain,
~ ( ( ( op(e0,e0) = e0
| op(e1,e1) = e0
| op(e2,e2) = e0
| op(e3,e3) = e0
| op(e4,e4) = e0 )
& ( op(e0,e0) = e1
| op(e1,e1) = e1
| op(e2,e2) = e1
| op(e3,e3) = e1
| op(e4,e4) = e1 )
& ( op(e0,e0) = e2
| op(e1,e1) = e2
| op(e2,e2) = e2
| op(e3,e3) = e2
| op(e4,e4) = e2 )
& ( op(e0,e0) = e3
| op(e1,e1) = e3
| op(e2,e2) = e3
| op(e3,e3) = e3
| op(e4,e4) = e3 )
& ( op(e0,e0) = e4
| op(e1,e1) = e4
| op(e2,e2) = e4
| op(e3,e3) = e4
| op(e4,e4) = e4 )
& ~ ( op(e0,e0) != op(e0,e0)
& op(op(e0,e0),e0) = e0
& op(op(e0,e0),e0) != e0 )
& ~ ( op(e1,e0) != op(e0,e1)
& op(op(e0,e1),e1) = e0
& op(op(e0,e1),e0) != e1 )
& ~ ( op(e2,e0) != op(e0,e2)
& op(op(e0,e2),e2) = e0
& op(op(e0,e2),e0) != e2 )
& ~ ( op(e3,e0) != op(e0,e3)
& op(op(e0,e3),e3) = e0
& op(op(e0,e3),e0) != e3 )
& ~ ( op(e4,e0) != op(e0,e4)
& op(op(e0,e4),e4) = e0
& op(op(e0,e4),e0) != e4 )
& ~ ( op(e0,e1) != op(e1,e0)
& op(op(e1,e0),e0) = e1
& op(op(e1,e0),e1) != e0 )
& ~ ( op(e1,e1) != op(e1,e1)
& op(op(e1,e1),e1) = e1
& op(op(e1,e1),e1) != e1 )
& ~ ( op(e2,e1) != op(e1,e2)
& op(op(e1,e2),e2) = e1
& op(op(e1,e2),e1) != e2 )
& ~ ( op(e3,e1) != op(e1,e3)
& op(op(e1,e3),e3) = e1
& op(op(e1,e3),e1) != e3 )
& ~ ( op(e4,e1) != op(e1,e4)
& op(op(e1,e4),e4) = e1
& op(op(e1,e4),e1) != e4 )
& ~ ( op(e0,e2) != op(e2,e0)
& op(op(e2,e0),e0) = e2
& op(op(e2,e0),e2) != e0 )
& op(e1,e2) != op(e2,e1)
& op(op(e2,e1),e1) = e2 )
=> op(op(e2,e1),e2) = e1 ),
inference(negate,[],[subgoal_11]) ).
fof(normalize_11_0,plain,
( op(e0,unit) = e0
& op(e1,unit) = e1
& op(e2,unit) = e2
& op(e3,unit) = e3
& op(e4,unit) = e4
& op(unit,e0) = e0
& op(unit,e1) = e1
& op(unit,e2) = e2
& op(unit,e3) = e3
& op(unit,e4) = e4
& ( unit = e0
| unit = e1
| unit = e2
| unit = e3
| unit = e4 ) ),
inference(canonicalize,[],[ax2]) ).
fof(normalize_11_1,plain,
op(e1,unit) = e1,
inference(conjunct,[],[normalize_11_0]) ).
fof(normalize_11_2,plain,
op(e2,unit) = e2,
inference(conjunct,[],[normalize_11_0]) ).
fof(normalize_11_3,plain,
op(unit,e1) = e1,
inference(conjunct,[],[normalize_11_0]) ).
fof(normalize_11_4,plain,
( unit = e0
| unit = e1
| unit = e2
| unit = e3
| unit = e4 ),
inference(conjunct,[],[normalize_11_0]) ).
fof(normalize_11_5,plain,
( op(e1,e2) != op(e2,e1)
& op(op(e2,e1),e2) != e1
& op(op(e2,e1),e1) = e2
& ( op(op(e0,e1),e1) != e0
| op(e1,e0) = op(e0,e1)
| op(op(e0,e1),e0) = e1 )
& ( op(op(e0,e2),e2) != e0
| op(e2,e0) = op(e0,e2)
| op(op(e0,e2),e0) = e2 )
& ( op(op(e0,e3),e3) != e0
| op(e3,e0) = op(e0,e3)
| op(op(e0,e3),e0) = e3 )
& ( op(op(e0,e4),e4) != e0
| op(e4,e0) = op(e0,e4)
| op(op(e0,e4),e0) = e4 )
& ( op(op(e1,e0),e0) != e1
| op(e0,e1) = op(e1,e0)
| op(op(e1,e0),e1) = e0 )
& ( op(op(e1,e2),e2) != e1
| op(e2,e1) = op(e1,e2)
| op(op(e1,e2),e1) = e2 )
& ( op(op(e1,e3),e3) != e1
| op(e3,e1) = op(e1,e3)
| op(op(e1,e3),e1) = e3 )
& ( op(op(e1,e4),e4) != e1
| op(e4,e1) = op(e1,e4)
| op(op(e1,e4),e1) = e4 )
& ( op(op(e2,e0),e0) != e2
| op(e0,e2) = op(e2,e0)
| op(op(e2,e0),e2) = e0 )
& ( op(e0,e0) = e0
| op(e1,e1) = e0
| op(e2,e2) = e0
| op(e3,e3) = e0
| op(e4,e4) = e0 )
& ( op(e0,e0) = e1
| op(e1,e1) = e1
| op(e2,e2) = e1
| op(e3,e3) = e1
| op(e4,e4) = e1 )
& ( op(e0,e0) = e2
| op(e1,e1) = e2
| op(e2,e2) = e2
| op(e3,e3) = e2
| op(e4,e4) = e2 )
& ( op(e0,e0) = e3
| op(e1,e1) = e3
| op(e2,e2) = e3
| op(e3,e3) = e3
| op(e4,e4) = e3 )
& ( op(e0,e0) = e4
| op(e1,e1) = e4
| op(e2,e2) = e4
| op(e3,e3) = e4
| op(e4,e4) = e4 ) ),
inference(canonicalize,[],[negate_11_0]) ).
fof(normalize_11_6,plain,
op(op(e2,e1),e1) = e2,
inference(conjunct,[],[normalize_11_5]) ).
fof(normalize_11_7,plain,
( ( op(e0,e0) = e0
| op(e0,e0) = e1
| op(e0,e0) = e2
| op(e0,e0) = e3
| op(e0,e0) = e4 )
& ( op(e0,e1) = e0
| op(e0,e1) = e1
| op(e0,e1) = e2
| op(e0,e1) = e3
| op(e0,e1) = e4 )
& ( op(e0,e2) = e0
| op(e0,e2) = e1
| op(e0,e2) = e2
| op(e0,e2) = e3
| op(e0,e2) = e4 )
& ( op(e0,e3) = e0
| op(e0,e3) = e1
| op(e0,e3) = e2
| op(e0,e3) = e3
| op(e0,e3) = e4 )
& ( op(e0,e4) = e0
| op(e0,e4) = e1
| op(e0,e4) = e2
| op(e0,e4) = e3
| op(e0,e4) = e4 )
& ( op(e1,e0) = e0
| op(e1,e0) = e1
| op(e1,e0) = e2
| op(e1,e0) = e3
| op(e1,e0) = e4 )
& ( op(e1,e1) = e0
| op(e1,e1) = e1
| op(e1,e1) = e2
| op(e1,e1) = e3
| op(e1,e1) = e4 )
& ( op(e1,e2) = e0
| op(e1,e2) = e1
| op(e1,e2) = e2
| op(e1,e2) = e3
| op(e1,e2) = e4 )
& ( op(e1,e3) = e0
| op(e1,e3) = e1
| op(e1,e3) = e2
| op(e1,e3) = e3
| op(e1,e3) = e4 )
& ( op(e1,e4) = e0
| op(e1,e4) = e1
| op(e1,e4) = e2
| op(e1,e4) = e3
| op(e1,e4) = e4 )
& ( op(e2,e0) = e0
| op(e2,e0) = e1
| op(e2,e0) = e2
| op(e2,e0) = e3
| op(e2,e0) = e4 )
& ( op(e2,e1) = e0
| op(e2,e1) = e1
| op(e2,e1) = e2
| op(e2,e1) = e3
| op(e2,e1) = e4 )
& ( op(e2,e2) = e0
| op(e2,e2) = e1
| op(e2,e2) = e2
| op(e2,e2) = e3
| op(e2,e2) = e4 )
& ( op(e2,e3) = e0
| op(e2,e3) = e1
| op(e2,e3) = e2
| op(e2,e3) = e3
| op(e2,e3) = e4 )
& ( op(e2,e4) = e0
| op(e2,e4) = e1
| op(e2,e4) = e2
| op(e2,e4) = e3
| op(e2,e4) = e4 )
& ( op(e3,e0) = e0
| op(e3,e0) = e1
| op(e3,e0) = e2
| op(e3,e0) = e3
| op(e3,e0) = e4 )
& ( op(e3,e1) = e0
| op(e3,e1) = e1
| op(e3,e1) = e2
| op(e3,e1) = e3
| op(e3,e1) = e4 )
& ( op(e3,e2) = e0
| op(e3,e2) = e1
| op(e3,e2) = e2
| op(e3,e2) = e3
| op(e3,e2) = e4 )
& ( op(e3,e3) = e0
| op(e3,e3) = e1
| op(e3,e3) = e2
| op(e3,e3) = e3
| op(e3,e3) = e4 )
& ( op(e3,e4) = e0
| op(e3,e4) = e1
| op(e3,e4) = e2
| op(e3,e4) = e3
| op(e3,e4) = e4 )
& ( op(e4,e0) = e0
| op(e4,e0) = e1
| op(e4,e0) = e2
| op(e4,e0) = e3
| op(e4,e0) = e4 )
& ( op(e4,e1) = e0
| op(e4,e1) = e1
| op(e4,e1) = e2
| op(e4,e1) = e3
| op(e4,e1) = e4 )
& ( op(e4,e2) = e0
| op(e4,e2) = e1
| op(e4,e2) = e2
| op(e4,e2) = e3
| op(e4,e2) = e4 )
& ( op(e4,e3) = e0
| op(e4,e3) = e1
| op(e4,e3) = e2
| op(e4,e3) = e3
| op(e4,e3) = e4 )
& ( op(e4,e4) = e0
| op(e4,e4) = e1
| op(e4,e4) = e2
| op(e4,e4) = e3
| op(e4,e4) = e4 ) ),
inference(canonicalize,[],[ax1]) ).
fof(normalize_11_8,plain,
( op(e2,e1) = e0
| op(e2,e1) = e1
| op(e2,e1) = e2
| op(e2,e1) = e3
| op(e2,e1) = e4 ),
inference(conjunct,[],[normalize_11_7]) ).
fof(normalize_11_9,plain,
( op(e0,e0) != op(e0,e1)
& op(e0,e0) != op(e0,e2)
& op(e0,e0) != op(e0,e3)
& op(e0,e0) != op(e0,e4)
& op(e0,e0) != op(e1,e0)
& op(e0,e0) != op(e2,e0)
& op(e0,e0) != op(e3,e0)
& op(e0,e0) != op(e4,e0)
& op(e0,e1) != op(e0,e2)
& op(e0,e1) != op(e0,e3)
& op(e0,e1) != op(e0,e4)
& op(e0,e1) != op(e1,e1)
& op(e0,e1) != op(e2,e1)
& op(e0,e1) != op(e3,e1)
& op(e0,e1) != op(e4,e1)
& op(e0,e2) != op(e0,e3)
& op(e0,e2) != op(e0,e4)
& op(e0,e2) != op(e1,e2)
& op(e0,e2) != op(e2,e2)
& op(e0,e2) != op(e3,e2)
& op(e0,e2) != op(e4,e2)
& op(e0,e3) != op(e0,e4)
& op(e0,e3) != op(e1,e3)
& op(e0,e3) != op(e2,e3)
& op(e0,e3) != op(e3,e3)
& op(e0,e3) != op(e4,e3)
& op(e0,e4) != op(e1,e4)
& op(e0,e4) != op(e2,e4)
& op(e0,e4) != op(e3,e4)
& op(e0,e4) != op(e4,e4)
& op(e1,e0) != op(e1,e1)
& op(e1,e0) != op(e1,e2)
& op(e1,e0) != op(e1,e3)
& op(e1,e0) != op(e1,e4)
& op(e1,e0) != op(e2,e0)
& op(e1,e0) != op(e3,e0)
& op(e1,e0) != op(e4,e0)
& op(e1,e1) != op(e1,e2)
& op(e1,e1) != op(e1,e3)
& op(e1,e1) != op(e1,e4)
& op(e1,e1) != op(e2,e1)
& op(e1,e1) != op(e3,e1)
& op(e1,e1) != op(e4,e1)
& op(e1,e2) != op(e1,e3)
& op(e1,e2) != op(e1,e4)
& op(e1,e2) != op(e2,e2)
& op(e1,e2) != op(e3,e2)
& op(e1,e2) != op(e4,e2)
& op(e1,e3) != op(e1,e4)
& op(e1,e3) != op(e2,e3)
& op(e1,e3) != op(e3,e3)
& op(e1,e3) != op(e4,e3)
& op(e1,e4) != op(e2,e4)
& op(e1,e4) != op(e3,e4)
& op(e1,e4) != op(e4,e4)
& op(e2,e0) != op(e2,e1)
& op(e2,e0) != op(e2,e2)
& op(e2,e0) != op(e2,e3)
& op(e2,e0) != op(e2,e4)
& op(e2,e0) != op(e3,e0)
& op(e2,e0) != op(e4,e0)
& op(e2,e1) != op(e2,e2)
& op(e2,e1) != op(e2,e3)
& op(e2,e1) != op(e2,e4)
& op(e2,e1) != op(e3,e1)
& op(e2,e1) != op(e4,e1)
& op(e2,e2) != op(e2,e3)
& op(e2,e2) != op(e2,e4)
& op(e2,e2) != op(e3,e2)
& op(e2,e2) != op(e4,e2)
& op(e2,e3) != op(e2,e4)
& op(e2,e3) != op(e3,e3)
& op(e2,e3) != op(e4,e3)
& op(e2,e4) != op(e3,e4)
& op(e2,e4) != op(e4,e4)
& op(e3,e0) != op(e3,e1)
& op(e3,e0) != op(e3,e2)
& op(e3,e0) != op(e3,e3)
& op(e3,e0) != op(e3,e4)
& op(e3,e0) != op(e4,e0)
& op(e3,e1) != op(e3,e2)
& op(e3,e1) != op(e3,e3)
& op(e3,e1) != op(e3,e4)
& op(e3,e1) != op(e4,e1)
& op(e3,e2) != op(e3,e3)
& op(e3,e2) != op(e3,e4)
& op(e3,e2) != op(e4,e2)
& op(e3,e3) != op(e3,e4)
& op(e3,e3) != op(e4,e3)
& op(e3,e4) != op(e4,e4)
& op(e4,e0) != op(e4,e1)
& op(e4,e0) != op(e4,e2)
& op(e4,e0) != op(e4,e3)
& op(e4,e0) != op(e4,e4)
& op(e4,e1) != op(e4,e2)
& op(e4,e1) != op(e4,e3)
& op(e4,e1) != op(e4,e4)
& op(e4,e2) != op(e4,e3)
& op(e4,e2) != op(e4,e4)
& op(e4,e3) != op(e4,e4) ),
inference(canonicalize,[],[ax4]) ).
fof(normalize_11_10,plain,
op(e2,e1) != op(e2,e2),
inference(conjunct,[],[normalize_11_9]) ).
fof(normalize_11_11,plain,
( e0 = op(e1,op(op(e1,e1),op(e1,e1)))
& e2 = op(op(e1,e1),op(e1,e1))
& e3 = op(op(op(e1,e1),op(e1,e1)),op(op(e1,e1),op(e1,e1)))
& e4 = op(e1,e1) ),
inference(canonicalize,[],[ax6]) ).
fof(normalize_11_12,plain,
e3 = op(op(op(e1,e1),op(e1,e1)),op(op(e1,e1),op(e1,e1))),
inference(conjunct,[],[normalize_11_11]) ).
fof(normalize_11_13,plain,
e2 = op(op(e1,e1),op(e1,e1)),
inference(conjunct,[],[normalize_11_11]) ).
fof(normalize_11_14,plain,
op(e1,e1) != op(e2,e1),
inference(conjunct,[],[normalize_11_9]) ).
fof(normalize_11_15,plain,
e4 = op(e1,e1),
inference(conjunct,[],[normalize_11_11]) ).
fof(normalize_11_16,plain,
op(e1,e2) != op(e2,e1),
inference(conjunct,[],[normalize_11_5]) ).
fof(normalize_11_17,plain,
e0 = op(e1,op(op(e1,e1),op(e1,e1))),
inference(conjunct,[],[normalize_11_11]) ).
fof(normalize_11_18,plain,
( e0 != e1
& e0 != e2
& e0 != e3
& e0 != e4
& e1 != e2
& e1 != e3
& e1 != e4
& e2 != e3
& e2 != e4
& e3 != e4 ),
inference(canonicalize,[],[ax5]) ).
fof(normalize_11_19,plain,
e2 != e4,
inference(conjunct,[],[normalize_11_18]) ).
fof(normalize_11_20,plain,
e1 != e2,
inference(conjunct,[],[normalize_11_18]) ).
fof(normalize_11_21,plain,
op(e2,e0) != op(e2,e1),
inference(conjunct,[],[normalize_11_9]) ).
fof(normalize_11_22,plain,
e1 != e4,
inference(conjunct,[],[normalize_11_18]) ).
fof(normalize_11_23,plain,
op(e2,e1) != op(e2,e3),
inference(conjunct,[],[normalize_11_9]) ).
fof(normalize_11_24,plain,
op(e4,unit) = e4,
inference(conjunct,[],[normalize_11_0]) ).
fof(normalize_11_25,plain,
e0 != e1,
inference(conjunct,[],[normalize_11_18]) ).
cnf(refute_11_0,plain,
op(e1,unit) = e1,
inference(canonicalize,[],[normalize_11_1]) ).
cnf(refute_11_1,plain,
op(e2,unit) = e2,
inference(canonicalize,[],[normalize_11_2]) ).
cnf(refute_11_2,plain,
op(unit,e1) = e1,
inference(canonicalize,[],[normalize_11_3]) ).
cnf(refute_11_3,plain,
( unit = e0
| unit = e1
| unit = e2
| unit = e3
| unit = e4 ),
inference(canonicalize,[],[normalize_11_4]) ).
cnf(refute_11_4,plain,
( op(unit,e1) != e1
| unit != e2
| op(e2,e1) = e1 ),
introduced(tautology,[equality,[$cnf( $equal(op(unit,e1),e1) ),[0,0],$fot(e2)]]) ).
cnf(refute_11_5,plain,
( op(unit,e1) != e1
| op(e2,e1) = e1
| unit = e0
| unit = e1
| unit = e3
| unit = e4 ),
inference(resolve,[$cnf( $equal(unit,e2) )],[refute_11_3,refute_11_4]) ).
cnf(refute_11_6,plain,
( op(e2,e1) = e1
| unit = e0
| unit = e1
| unit = e3
| unit = e4 ),
inference(resolve,[$cnf( $equal(op(unit,e1),e1) )],[refute_11_2,refute_11_5]) ).
cnf(refute_11_7,plain,
op(op(e2,e1),e1) = e2,
inference(canonicalize,[],[normalize_11_6]) ).
cnf(refute_11_8,plain,
( op(e2,e1) = e0
| op(e2,e1) = e1
| op(e2,e1) = e2
| op(e2,e1) = e3
| op(e2,e1) = e4 ),
inference(canonicalize,[],[normalize_11_8]) ).
cnf(refute_11_9,plain,
op(e2,e1) != op(e2,e2),
inference(canonicalize,[],[normalize_11_10]) ).
cnf(refute_11_10,plain,
e3 = op(op(op(e1,e1),op(e1,e1)),op(op(e1,e1),op(e1,e1))),
inference(canonicalize,[],[normalize_11_12]) ).
cnf(refute_11_11,plain,
e2 = op(op(e1,e1),op(e1,e1)),
inference(canonicalize,[],[normalize_11_13]) ).
cnf(refute_11_12,plain,
X = X,
introduced(tautology,[refl,[$fot(X)]]) ).
cnf(refute_11_13,plain,
( X != X
| X != Y
| Y = X ),
introduced(tautology,[equality,[$cnf( $equal(X,X) ),[0],$fot(Y)]]) ).
cnf(refute_11_14,plain,
( X != Y
| Y = X ),
inference(resolve,[$cnf( $equal(X,X) )],[refute_11_12,refute_11_13]) ).
cnf(refute_11_15,plain,
( e2 != op(op(e1,e1),op(e1,e1))
| op(op(e1,e1),op(e1,e1)) = e2 ),
inference(subst,[],[refute_11_14:[bind(X,$fot(e2)),bind(Y,$fot(op(op(e1,e1),op(e1,e1))))]]) ).
cnf(refute_11_16,plain,
op(op(e1,e1),op(e1,e1)) = e2,
inference(resolve,[$cnf( $equal(e2,op(op(e1,e1),op(e1,e1))) )],[refute_11_11,refute_11_15]) ).
cnf(refute_11_17,plain,
op(e2,op(op(e1,e1),op(e1,e1))) = op(e2,op(op(e1,e1),op(e1,e1))),
introduced(tautology,[refl,[$fot(op(e2,op(op(e1,e1),op(e1,e1))))]]) ).
cnf(refute_11_18,plain,
( op(e2,op(op(e1,e1),op(e1,e1))) != op(e2,op(op(e1,e1),op(e1,e1)))
| op(op(e1,e1),op(e1,e1)) != e2
| op(e2,op(op(e1,e1),op(e1,e1))) = op(e2,e2) ),
introduced(tautology,[equality,[$cnf( $equal(op(e2,op(op(e1,e1),op(e1,e1))),op(e2,op(op(e1,e1),op(e1,e1)))) ),[1,1],$fot(e2)]]) ).
cnf(refute_11_19,plain,
( op(op(e1,e1),op(e1,e1)) != e2
| op(e2,op(op(e1,e1),op(e1,e1))) = op(e2,e2) ),
inference(resolve,[$cnf( $equal(op(e2,op(op(e1,e1),op(e1,e1))),op(e2,op(op(e1,e1),op(e1,e1)))) )],[refute_11_17,refute_11_18]) ).
cnf(refute_11_20,plain,
op(e2,op(op(e1,e1),op(e1,e1))) = op(e2,e2),
inference(resolve,[$cnf( $equal(op(op(e1,e1),op(e1,e1)),e2) )],[refute_11_16,refute_11_19]) ).
cnf(refute_11_21,plain,
op(op(op(e1,e1),op(e1,e1)),op(op(e1,e1),op(e1,e1))) = op(op(op(e1,e1),op(e1,e1)),op(op(e1,e1),op(e1,e1))),
introduced(tautology,[refl,[$fot(op(op(op(e1,e1),op(e1,e1)),op(op(e1,e1),op(e1,e1))))]]) ).
cnf(refute_11_22,plain,
( op(op(e1,e1),op(e1,e1)) != e2
| op(op(op(e1,e1),op(e1,e1)),op(op(e1,e1),op(e1,e1))) != op(op(op(e1,e1),op(e1,e1)),op(op(e1,e1),op(e1,e1)))
| op(op(op(e1,e1),op(e1,e1)),op(op(e1,e1),op(e1,e1))) = op(e2,op(op(e1,e1),op(e1,e1))) ),
introduced(tautology,[equality,[$cnf( $equal(op(op(op(e1,e1),op(e1,e1)),op(op(e1,e1),op(e1,e1))),op(op(op(e1,e1),op(e1,e1)),op(op(e1,e1),op(e1,e1)))) ),[1,0],$fot(e2)]]) ).
cnf(refute_11_23,plain,
( op(op(e1,e1),op(e1,e1)) != e2
| op(op(op(e1,e1),op(e1,e1)),op(op(e1,e1),op(e1,e1))) = op(e2,op(op(e1,e1),op(e1,e1))) ),
inference(resolve,[$cnf( $equal(op(op(op(e1,e1),op(e1,e1)),op(op(e1,e1),op(e1,e1))),op(op(op(e1,e1),op(e1,e1)),op(op(e1,e1),op(e1,e1)))) )],[refute_11_21,refute_11_22]) ).
cnf(refute_11_24,plain,
op(op(op(e1,e1),op(e1,e1)),op(op(e1,e1),op(e1,e1))) = op(e2,op(op(e1,e1),op(e1,e1))),
inference(resolve,[$cnf( $equal(op(op(e1,e1),op(e1,e1)),e2) )],[refute_11_16,refute_11_23]) ).
cnf(refute_11_25,plain,
( Y != X
| Y != Z
| X = Z ),
introduced(tautology,[equality,[$cnf( $equal(Y,Z) ),[0],$fot(X)]]) ).
cnf(refute_11_26,plain,
( X != Y
| Y != Z
| X = Z ),
inference(resolve,[$cnf( $equal(Y,X) )],[refute_11_14,refute_11_25]) ).
cnf(refute_11_27,plain,
( op(e2,op(op(e1,e1),op(e1,e1))) != op(e2,e2)
| op(op(op(e1,e1),op(e1,e1)),op(op(e1,e1),op(e1,e1))) != op(e2,op(op(e1,e1),op(e1,e1)))
| op(op(op(e1,e1),op(e1,e1)),op(op(e1,e1),op(e1,e1))) = op(e2,e2) ),
inference(subst,[],[refute_11_26:[bind(X,$fot(op(op(op(e1,e1),op(e1,e1)),op(op(e1,e1),op(e1,e1))))),bind(Y,$fot(op(e2,op(op(e1,e1),op(e1,e1))))),bind(Z,$fot(op(e2,e2)))]]) ).
cnf(refute_11_28,plain,
( op(e2,op(op(e1,e1),op(e1,e1))) != op(e2,e2)
| op(op(op(e1,e1),op(e1,e1)),op(op(e1,e1),op(e1,e1))) = op(e2,e2) ),
inference(resolve,[$cnf( $equal(op(op(op(e1,e1),op(e1,e1)),op(op(e1,e1),op(e1,e1))),op(e2,op(op(e1,e1),op(e1,e1)))) )],[refute_11_24,refute_11_27]) ).
cnf(refute_11_29,plain,
op(op(op(e1,e1),op(e1,e1)),op(op(e1,e1),op(e1,e1))) = op(e2,e2),
inference(resolve,[$cnf( $equal(op(e2,op(op(e1,e1),op(e1,e1))),op(e2,e2)) )],[refute_11_20,refute_11_28]) ).
cnf(refute_11_30,plain,
( e3 != op(op(op(e1,e1),op(e1,e1)),op(op(e1,e1),op(e1,e1)))
| op(op(op(e1,e1),op(e1,e1)),op(op(e1,e1),op(e1,e1))) != op(e2,e2)
| e3 = op(e2,e2) ),
introduced(tautology,[equality,[$cnf( ~ $equal(e3,op(e2,e2)) ),[0],$fot(op(op(op(e1,e1),op(e1,e1)),op(op(e1,e1),op(e1,e1))))]]) ).
cnf(refute_11_31,plain,
( e3 != op(op(op(e1,e1),op(e1,e1)),op(op(e1,e1),op(e1,e1)))
| e3 = op(e2,e2) ),
inference(resolve,[$cnf( $equal(op(op(op(e1,e1),op(e1,e1)),op(op(e1,e1),op(e1,e1))),op(e2,e2)) )],[refute_11_29,refute_11_30]) ).
cnf(refute_11_32,plain,
e3 = op(e2,e2),
inference(resolve,[$cnf( $equal(e3,op(op(op(e1,e1),op(e1,e1)),op(op(e1,e1),op(e1,e1)))) )],[refute_11_10,refute_11_31]) ).
cnf(refute_11_33,plain,
( e3 != op(e2,e2)
| op(e2,e2) = e3 ),
inference(subst,[],[refute_11_14:[bind(X,$fot(e3)),bind(Y,$fot(op(e2,e2)))]]) ).
cnf(refute_11_34,plain,
op(e2,e2) = e3,
inference(resolve,[$cnf( $equal(e3,op(e2,e2)) )],[refute_11_32,refute_11_33]) ).
cnf(refute_11_35,plain,
( op(e2,e1) != e3
| op(e2,e2) != e3
| op(e2,e1) = op(e2,e2) ),
introduced(tautology,[equality,[$cnf( ~ $equal(op(e2,e1),op(e2,e2)) ),[1],$fot(e3)]]) ).
cnf(refute_11_36,plain,
( op(e2,e1) != e3
| op(e2,e1) = op(e2,e2) ),
inference(resolve,[$cnf( $equal(op(e2,e2),e3) )],[refute_11_34,refute_11_35]) ).
cnf(refute_11_37,plain,
op(e2,e1) != e3,
inference(resolve,[$cnf( $equal(op(e2,e1),op(e2,e2)) )],[refute_11_36,refute_11_9]) ).
cnf(refute_11_38,plain,
( op(e2,e1) = e0
| op(e2,e1) = e1
| op(e2,e1) = e2
| op(e2,e1) = e4 ),
inference(resolve,[$cnf( $equal(op(e2,e1),e3) )],[refute_11_8,refute_11_37]) ).
cnf(refute_11_39,plain,
op(e1,e1) != op(e2,e1),
inference(canonicalize,[],[normalize_11_14]) ).
cnf(refute_11_40,plain,
e4 = op(e1,e1),
inference(canonicalize,[],[normalize_11_15]) ).
cnf(refute_11_41,plain,
( e4 != op(e1,e1)
| op(e1,e1) = e4 ),
inference(subst,[],[refute_11_14:[bind(X,$fot(e4)),bind(Y,$fot(op(e1,e1)))]]) ).
cnf(refute_11_42,plain,
op(e1,e1) = e4,
inference(resolve,[$cnf( $equal(e4,op(e1,e1)) )],[refute_11_40,refute_11_41]) ).
cnf(refute_11_43,plain,
( e4 != op(e2,e1)
| op(e1,e1) != e4
| op(e1,e1) = op(e2,e1) ),
introduced(tautology,[equality,[$cnf( $equal(op(e1,e1),e4) ),[1],$fot(op(e2,e1))]]) ).
cnf(refute_11_44,plain,
( e4 != op(e2,e1)
| op(e1,e1) = op(e2,e1) ),
inference(resolve,[$cnf( $equal(op(e1,e1),e4) )],[refute_11_42,refute_11_43]) ).
cnf(refute_11_45,plain,
e4 != op(e2,e1),
inference(resolve,[$cnf( $equal(op(e1,e1),op(e2,e1)) )],[refute_11_44,refute_11_39]) ).
cnf(refute_11_46,plain,
( op(e2,e1) != e4
| e4 = op(e2,e1) ),
inference(subst,[],[refute_11_14:[bind(X,$fot(op(e2,e1))),bind(Y,$fot(e4))]]) ).
cnf(refute_11_47,plain,
op(e2,e1) != e4,
inference(resolve,[$cnf( $equal(e4,op(e2,e1)) )],[refute_11_46,refute_11_45]) ).
cnf(refute_11_48,plain,
( op(e2,e1) = e0
| op(e2,e1) = e1
| op(e2,e1) = e2 ),
inference(resolve,[$cnf( $equal(op(e2,e1),e4) )],[refute_11_38,refute_11_47]) ).
cnf(refute_11_49,plain,
op(e1,e2) != op(e2,e1),
inference(canonicalize,[],[normalize_11_16]) ).
cnf(refute_11_50,plain,
e0 = op(e1,op(op(e1,e1),op(e1,e1))),
inference(canonicalize,[],[normalize_11_17]) ).
cnf(refute_11_51,plain,
op(e1,op(op(e1,e1),op(e1,e1))) = op(e1,op(op(e1,e1),op(e1,e1))),
introduced(tautology,[refl,[$fot(op(e1,op(op(e1,e1),op(e1,e1))))]]) ).
cnf(refute_11_52,plain,
( op(e1,op(op(e1,e1),op(e1,e1))) != op(e1,op(op(e1,e1),op(e1,e1)))
| op(op(e1,e1),op(e1,e1)) != e2
| op(e1,op(op(e1,e1),op(e1,e1))) = op(e1,e2) ),
introduced(tautology,[equality,[$cnf( $equal(op(e1,op(op(e1,e1),op(e1,e1))),op(e1,op(op(e1,e1),op(e1,e1)))) ),[1,1],$fot(e2)]]) ).
cnf(refute_11_53,plain,
( op(op(e1,e1),op(e1,e1)) != e2
| op(e1,op(op(e1,e1),op(e1,e1))) = op(e1,e2) ),
inference(resolve,[$cnf( $equal(op(e1,op(op(e1,e1),op(e1,e1))),op(e1,op(op(e1,e1),op(e1,e1)))) )],[refute_11_51,refute_11_52]) ).
cnf(refute_11_54,plain,
op(e1,op(op(e1,e1),op(e1,e1))) = op(e1,e2),
inference(resolve,[$cnf( $equal(op(op(e1,e1),op(e1,e1)),e2) )],[refute_11_16,refute_11_53]) ).
cnf(refute_11_55,plain,
( e0 != op(e1,op(op(e1,e1),op(e1,e1)))
| op(e1,op(op(e1,e1),op(e1,e1))) != op(e1,e2)
| e0 = op(e1,e2) ),
introduced(tautology,[equality,[$cnf( ~ $equal(e0,op(e1,e2)) ),[0],$fot(op(e1,op(op(e1,e1),op(e1,e1))))]]) ).
cnf(refute_11_56,plain,
( e0 != op(e1,op(op(e1,e1),op(e1,e1)))
| e0 = op(e1,e2) ),
inference(resolve,[$cnf( $equal(op(e1,op(op(e1,e1),op(e1,e1))),op(e1,e2)) )],[refute_11_54,refute_11_55]) ).
cnf(refute_11_57,plain,
e0 = op(e1,e2),
inference(resolve,[$cnf( $equal(e0,op(e1,op(op(e1,e1),op(e1,e1)))) )],[refute_11_50,refute_11_56]) ).
cnf(refute_11_58,plain,
( e0 != op(e1,e2)
| op(e1,e2) = e0 ),
inference(subst,[],[refute_11_14:[bind(X,$fot(e0)),bind(Y,$fot(op(e1,e2)))]]) ).
cnf(refute_11_59,plain,
op(e1,e2) = e0,
inference(resolve,[$cnf( $equal(e0,op(e1,e2)) )],[refute_11_57,refute_11_58]) ).
cnf(refute_11_60,plain,
( e0 != op(e2,e1)
| op(e1,e2) != e0
| op(e1,e2) = op(e2,e1) ),
introduced(tautology,[equality,[$cnf( $equal(op(e1,e2),e0) ),[1],$fot(op(e2,e1))]]) ).
cnf(refute_11_61,plain,
( e0 != op(e2,e1)
| op(e1,e2) = op(e2,e1) ),
inference(resolve,[$cnf( $equal(op(e1,e2),e0) )],[refute_11_59,refute_11_60]) ).
cnf(refute_11_62,plain,
e0 != op(e2,e1),
inference(resolve,[$cnf( $equal(op(e1,e2),op(e2,e1)) )],[refute_11_61,refute_11_49]) ).
cnf(refute_11_63,plain,
( op(e2,e1) != e0
| e0 = op(e2,e1) ),
inference(subst,[],[refute_11_14:[bind(X,$fot(op(e2,e1))),bind(Y,$fot(e0))]]) ).
cnf(refute_11_64,plain,
op(e2,e1) != e0,
inference(resolve,[$cnf( $equal(e0,op(e2,e1)) )],[refute_11_63,refute_11_62]) ).
cnf(refute_11_65,plain,
( op(e2,e1) = e1
| op(e2,e1) = e2 ),
inference(resolve,[$cnf( $equal(op(e2,e1),e0) )],[refute_11_48,refute_11_64]) ).
cnf(refute_11_66,plain,
( op(e2,e1) != e1
| op(op(e2,e1),e1) != e2
| op(e1,e1) = e2 ),
introduced(tautology,[equality,[$cnf( $equal(op(op(e2,e1),e1),e2) ),[0,0],$fot(e1)]]) ).
cnf(refute_11_67,plain,
( op(op(e2,e1),e1) != e2
| op(e1,e1) = e2
| op(e2,e1) = e2 ),
inference(resolve,[$cnf( $equal(op(e2,e1),e1) )],[refute_11_65,refute_11_66]) ).
cnf(refute_11_68,plain,
( op(e1,e1) = e2
| op(e2,e1) = e2 ),
inference(resolve,[$cnf( $equal(op(op(e2,e1),e1),e2) )],[refute_11_7,refute_11_67]) ).
cnf(refute_11_69,plain,
( op(e1,e1) != e2
| op(e1,e1) != e4
| e4 = e2 ),
introduced(tautology,[equality,[$cnf( $equal(op(e1,e1),e2) ),[0],$fot(e4)]]) ).
cnf(refute_11_70,plain,
( op(e1,e1) != e2
| e4 = e2 ),
inference(resolve,[$cnf( $equal(op(e1,e1),e4) )],[refute_11_42,refute_11_69]) ).
cnf(refute_11_71,plain,
( e4 = e2
| op(e2,e1) = e2 ),
inference(resolve,[$cnf( $equal(op(e1,e1),e2) )],[refute_11_68,refute_11_70]) ).
cnf(refute_11_72,plain,
e2 != e4,
inference(canonicalize,[],[normalize_11_19]) ).
cnf(refute_11_73,plain,
( e4 != e2
| e2 = e4 ),
inference(subst,[],[refute_11_14:[bind(X,$fot(e4)),bind(Y,$fot(e2))]]) ).
cnf(refute_11_74,plain,
e4 != e2,
inference(resolve,[$cnf( $equal(e2,e4) )],[refute_11_73,refute_11_72]) ).
cnf(refute_11_75,plain,
op(e2,e1) = e2,
inference(resolve,[$cnf( $equal(e4,e2) )],[refute_11_71,refute_11_74]) ).
cnf(refute_11_76,plain,
( op(e2,e1) != e1
| op(e2,e1) != e2
| e2 = e1 ),
introduced(tautology,[equality,[$cnf( $equal(op(e2,e1),e1) ),[0],$fot(e2)]]) ).
cnf(refute_11_77,plain,
( op(e2,e1) != e1
| e2 = e1 ),
inference(resolve,[$cnf( $equal(op(e2,e1),e2) )],[refute_11_75,refute_11_76]) ).
cnf(refute_11_78,plain,
( e2 = e1
| unit = e0
| unit = e1
| unit = e3
| unit = e4 ),
inference(resolve,[$cnf( $equal(op(e2,e1),e1) )],[refute_11_6,refute_11_77]) ).
cnf(refute_11_79,plain,
e1 != e2,
inference(canonicalize,[],[normalize_11_20]) ).
cnf(refute_11_80,plain,
( e2 != e1
| e1 = e2 ),
inference(subst,[],[refute_11_14:[bind(X,$fot(e2)),bind(Y,$fot(e1))]]) ).
cnf(refute_11_81,plain,
e2 != e1,
inference(resolve,[$cnf( $equal(e1,e2) )],[refute_11_80,refute_11_79]) ).
cnf(refute_11_82,plain,
( unit = e0
| unit = e1
| unit = e3
| unit = e4 ),
inference(resolve,[$cnf( $equal(e2,e1) )],[refute_11_78,refute_11_81]) ).
cnf(refute_11_83,plain,
( op(e2,unit) != e2
| unit != e0
| op(e2,e0) = e2 ),
introduced(tautology,[equality,[$cnf( $equal(op(e2,unit),e2) ),[0,1],$fot(e0)]]) ).
cnf(refute_11_84,plain,
( op(e2,unit) != e2
| op(e2,e0) = e2
| unit = e1
| unit = e3
| unit = e4 ),
inference(resolve,[$cnf( $equal(unit,e0) )],[refute_11_82,refute_11_83]) ).
cnf(refute_11_85,plain,
( op(e2,e0) = e2
| unit = e1
| unit = e3
| unit = e4 ),
inference(resolve,[$cnf( $equal(op(e2,unit),e2) )],[refute_11_1,refute_11_84]) ).
cnf(refute_11_86,plain,
op(e2,e0) != op(e2,e1),
inference(canonicalize,[],[normalize_11_21]) ).
cnf(refute_11_87,plain,
( op(e2,e0) != e2
| op(e2,e1) != e2
| op(e2,e0) = op(e2,e1) ),
introduced(tautology,[equality,[$cnf( ~ $equal(op(e2,e0),op(e2,e1)) ),[1],$fot(e2)]]) ).
cnf(refute_11_88,plain,
( op(e2,e0) != e2
| op(e2,e0) = op(e2,e1) ),
inference(resolve,[$cnf( $equal(op(e2,e1),e2) )],[refute_11_75,refute_11_87]) ).
cnf(refute_11_89,plain,
op(e2,e0) != e2,
inference(resolve,[$cnf( $equal(op(e2,e0),op(e2,e1)) )],[refute_11_88,refute_11_86]) ).
cnf(refute_11_90,plain,
( unit = e1
| unit = e3
| unit = e4 ),
inference(resolve,[$cnf( $equal(op(e2,e0),e2) )],[refute_11_85,refute_11_89]) ).
cnf(refute_11_91,plain,
( op(unit,e1) != e1
| unit != e1
| op(e1,e1) = e1 ),
introduced(tautology,[equality,[$cnf( $equal(op(unit,e1),e1) ),[0,0],$fot(e1)]]) ).
cnf(refute_11_92,plain,
( op(unit,e1) != e1
| op(e1,e1) = e1
| unit = e3
| unit = e4 ),
inference(resolve,[$cnf( $equal(unit,e1) )],[refute_11_90,refute_11_91]) ).
cnf(refute_11_93,plain,
( op(e1,e1) = e1
| unit = e3
| unit = e4 ),
inference(resolve,[$cnf( $equal(op(unit,e1),e1) )],[refute_11_2,refute_11_92]) ).
cnf(refute_11_94,plain,
( op(e1,e1) != e1
| op(e1,e1) != e4
| e4 = e1 ),
introduced(tautology,[equality,[$cnf( $equal(op(e1,e1),e1) ),[0],$fot(e4)]]) ).
cnf(refute_11_95,plain,
( op(e1,e1) != e1
| e4 = e1 ),
inference(resolve,[$cnf( $equal(op(e1,e1),e4) )],[refute_11_42,refute_11_94]) ).
cnf(refute_11_96,plain,
( e4 = e1
| unit = e3
| unit = e4 ),
inference(resolve,[$cnf( $equal(op(e1,e1),e1) )],[refute_11_93,refute_11_95]) ).
cnf(refute_11_97,plain,
e1 != e4,
inference(canonicalize,[],[normalize_11_22]) ).
cnf(refute_11_98,plain,
( e4 != e1
| e1 = e4 ),
inference(subst,[],[refute_11_14:[bind(X,$fot(e4)),bind(Y,$fot(e1))]]) ).
cnf(refute_11_99,plain,
e4 != e1,
inference(resolve,[$cnf( $equal(e1,e4) )],[refute_11_98,refute_11_97]) ).
cnf(refute_11_100,plain,
( unit = e3
| unit = e4 ),
inference(resolve,[$cnf( $equal(e4,e1) )],[refute_11_96,refute_11_99]) ).
cnf(refute_11_101,plain,
( op(e2,unit) != e2
| unit != e3
| op(e2,e3) = e2 ),
introduced(tautology,[equality,[$cnf( $equal(op(e2,unit),e2) ),[0,1],$fot(e3)]]) ).
cnf(refute_11_102,plain,
( op(e2,unit) != e2
| op(e2,e3) = e2
| unit = e4 ),
inference(resolve,[$cnf( $equal(unit,e3) )],[refute_11_100,refute_11_101]) ).
cnf(refute_11_103,plain,
( op(e2,e3) = e2
| unit = e4 ),
inference(resolve,[$cnf( $equal(op(e2,unit),e2) )],[refute_11_1,refute_11_102]) ).
cnf(refute_11_104,plain,
op(e2,e1) != op(e2,e3),
inference(canonicalize,[],[normalize_11_23]) ).
cnf(refute_11_105,plain,
( e2 != op(e2,e3)
| op(e2,e1) != e2
| op(e2,e1) = op(e2,e3) ),
introduced(tautology,[equality,[$cnf( $equal(op(e2,e1),e2) ),[1],$fot(op(e2,e3))]]) ).
cnf(refute_11_106,plain,
( e2 != op(e2,e3)
| op(e2,e1) = op(e2,e3) ),
inference(resolve,[$cnf( $equal(op(e2,e1),e2) )],[refute_11_75,refute_11_105]) ).
cnf(refute_11_107,plain,
e2 != op(e2,e3),
inference(resolve,[$cnf( $equal(op(e2,e1),op(e2,e3)) )],[refute_11_106,refute_11_104]) ).
cnf(refute_11_108,plain,
( op(e2,e3) != e2
| e2 = op(e2,e3) ),
inference(subst,[],[refute_11_14:[bind(X,$fot(op(e2,e3))),bind(Y,$fot(e2))]]) ).
cnf(refute_11_109,plain,
op(e2,e3) != e2,
inference(resolve,[$cnf( $equal(e2,op(e2,e3)) )],[refute_11_108,refute_11_107]) ).
cnf(refute_11_110,plain,
unit = e4,
inference(resolve,[$cnf( $equal(op(e2,e3),e2) )],[refute_11_103,refute_11_109]) ).
cnf(refute_11_111,plain,
op(e1,unit) = op(e1,unit),
introduced(tautology,[refl,[$fot(op(e1,unit))]]) ).
cnf(refute_11_112,plain,
( op(e1,unit) != op(e1,unit)
| unit != e4
| op(e1,unit) = op(e1,e4) ),
introduced(tautology,[equality,[$cnf( $equal(op(e1,unit),op(e1,unit)) ),[1,1],$fot(e4)]]) ).
cnf(refute_11_113,plain,
( unit != e4
| op(e1,unit) = op(e1,e4) ),
inference(resolve,[$cnf( $equal(op(e1,unit),op(e1,unit)) )],[refute_11_111,refute_11_112]) ).
cnf(refute_11_114,plain,
op(e1,unit) = op(e1,e4),
inference(resolve,[$cnf( $equal(unit,e4) )],[refute_11_110,refute_11_113]) ).
cnf(refute_11_115,plain,
( op(e1,unit) != e1
| op(e1,unit) != op(e1,e4)
| op(e1,e4) = e1 ),
introduced(tautology,[equality,[$cnf( $equal(op(e1,unit),e1) ),[0],$fot(op(e1,e4))]]) ).
cnf(refute_11_116,plain,
( op(e1,unit) != e1
| op(e1,e4) = e1 ),
inference(resolve,[$cnf( $equal(op(e1,unit),op(e1,e4)) )],[refute_11_114,refute_11_115]) ).
cnf(refute_11_117,plain,
op(e1,e4) = e1,
inference(resolve,[$cnf( $equal(op(e1,unit),e1) )],[refute_11_0,refute_11_116]) ).
cnf(refute_11_118,plain,
op(e4,unit) = e4,
inference(canonicalize,[],[normalize_11_24]) ).
cnf(refute_11_119,plain,
op(e4,op(e1,e1)) = op(e4,op(e1,e1)),
introduced(tautology,[refl,[$fot(op(e4,op(e1,e1)))]]) ).
cnf(refute_11_120,plain,
( op(e1,e1) != e4
| op(e4,op(e1,e1)) != op(e4,op(e1,e1))
| op(e4,op(e1,e1)) = op(e4,e4) ),
introduced(tautology,[equality,[$cnf( $equal(op(e4,op(e1,e1)),op(e4,op(e1,e1))) ),[1,1],$fot(e4)]]) ).
cnf(refute_11_121,plain,
( op(e1,e1) != e4
| op(e4,op(e1,e1)) = op(e4,e4) ),
inference(resolve,[$cnf( $equal(op(e4,op(e1,e1)),op(e4,op(e1,e1))) )],[refute_11_119,refute_11_120]) ).
cnf(refute_11_122,plain,
op(e4,op(e1,e1)) = op(e4,e4),
inference(resolve,[$cnf( $equal(op(e1,e1),e4) )],[refute_11_42,refute_11_121]) ).
cnf(refute_11_123,plain,
op(op(e1,e1),op(e1,e1)) = op(op(e1,e1),op(e1,e1)),
introduced(tautology,[refl,[$fot(op(op(e1,e1),op(e1,e1)))]]) ).
cnf(refute_11_124,plain,
( op(e1,e1) != e4
| op(op(e1,e1),op(e1,e1)) != op(op(e1,e1),op(e1,e1))
| op(op(e1,e1),op(e1,e1)) = op(e4,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(e4)]]) ).
cnf(refute_11_125,plain,
( op(e1,e1) != e4
| op(op(e1,e1),op(e1,e1)) = op(e4,op(e1,e1)) ),
inference(resolve,[$cnf( $equal(op(op(e1,e1),op(e1,e1)),op(op(e1,e1),op(e1,e1))) )],[refute_11_123,refute_11_124]) ).
cnf(refute_11_126,plain,
op(op(e1,e1),op(e1,e1)) = op(e4,op(e1,e1)),
inference(resolve,[$cnf( $equal(op(e1,e1),e4) )],[refute_11_42,refute_11_125]) ).
cnf(refute_11_127,plain,
( op(e4,op(e1,e1)) != op(e4,e4)
| op(op(e1,e1),op(e1,e1)) != op(e4,op(e1,e1))
| op(op(e1,e1),op(e1,e1)) = op(e4,e4) ),
inference(subst,[],[refute_11_26:[bind(X,$fot(op(op(e1,e1),op(e1,e1)))),bind(Y,$fot(op(e4,op(e1,e1)))),bind(Z,$fot(op(e4,e4)))]]) ).
cnf(refute_11_128,plain,
( op(e4,op(e1,e1)) != op(e4,e4)
| op(op(e1,e1),op(e1,e1)) = op(e4,e4) ),
inference(resolve,[$cnf( $equal(op(op(e1,e1),op(e1,e1)),op(e4,op(e1,e1))) )],[refute_11_126,refute_11_127]) ).
cnf(refute_11_129,plain,
op(op(e1,e1),op(e1,e1)) = op(e4,e4),
inference(resolve,[$cnf( $equal(op(e4,op(e1,e1)),op(e4,e4)) )],[refute_11_122,refute_11_128]) ).
cnf(refute_11_130,plain,
( e2 != op(op(e1,e1),op(e1,e1))
| op(op(e1,e1),op(e1,e1)) != op(e4,e4)
| e2 = op(e4,e4) ),
introduced(tautology,[equality,[$cnf( ~ $equal(e2,op(e4,e4)) ),[0],$fot(op(op(e1,e1),op(e1,e1)))]]) ).
cnf(refute_11_131,plain,
( e2 != op(op(e1,e1),op(e1,e1))
| e2 = op(e4,e4) ),
inference(resolve,[$cnf( $equal(op(op(e1,e1),op(e1,e1)),op(e4,e4)) )],[refute_11_129,refute_11_130]) ).
cnf(refute_11_132,plain,
e2 = op(e4,e4),
inference(resolve,[$cnf( $equal(e2,op(op(e1,e1),op(e1,e1))) )],[refute_11_11,refute_11_131]) ).
cnf(refute_11_133,plain,
( e2 != op(e4,e4)
| op(e4,e4) = e2 ),
inference(subst,[],[refute_11_14:[bind(X,$fot(e2)),bind(Y,$fot(op(e4,e4)))]]) ).
cnf(refute_11_134,plain,
op(e4,e4) = e2,
inference(resolve,[$cnf( $equal(e2,op(e4,e4)) )],[refute_11_132,refute_11_133]) ).
cnf(refute_11_135,plain,
op(e4,unit) = op(e4,unit),
introduced(tautology,[refl,[$fot(op(e4,unit))]]) ).
cnf(refute_11_136,plain,
( op(e4,unit) != op(e4,unit)
| unit != e4
| op(e4,unit) = op(e4,e4) ),
introduced(tautology,[equality,[$cnf( $equal(op(e4,unit),op(e4,unit)) ),[1,1],$fot(e4)]]) ).
cnf(refute_11_137,plain,
( unit != e4
| op(e4,unit) = op(e4,e4) ),
inference(resolve,[$cnf( $equal(op(e4,unit),op(e4,unit)) )],[refute_11_135,refute_11_136]) ).
cnf(refute_11_138,plain,
op(e4,unit) = op(e4,e4),
inference(resolve,[$cnf( $equal(unit,e4) )],[refute_11_110,refute_11_137]) ).
cnf(refute_11_139,plain,
( op(e4,e4) != e2
| op(e4,unit) != op(e4,e4)
| op(e4,unit) = e2 ),
inference(subst,[],[refute_11_26:[bind(X,$fot(op(e4,unit))),bind(Y,$fot(op(e4,e4))),bind(Z,$fot(e2))]]) ).
cnf(refute_11_140,plain,
( op(e4,e4) != e2
| op(e4,unit) = e2 ),
inference(resolve,[$cnf( $equal(op(e4,unit),op(e4,e4)) )],[refute_11_138,refute_11_139]) ).
cnf(refute_11_141,plain,
op(e4,unit) = e2,
inference(resolve,[$cnf( $equal(op(e4,e4),e2) )],[refute_11_134,refute_11_140]) ).
cnf(refute_11_142,plain,
( op(e4,unit) != e2
| op(e4,unit) != e4
| e2 = e4 ),
introduced(tautology,[equality,[$cnf( $equal(op(e4,unit),e4) ),[0],$fot(e2)]]) ).
cnf(refute_11_143,plain,
( op(e4,unit) != e4
| e2 = e4 ),
inference(resolve,[$cnf( $equal(op(e4,unit),e2) )],[refute_11_141,refute_11_142]) ).
cnf(refute_11_144,plain,
e2 = e4,
inference(resolve,[$cnf( $equal(op(e4,unit),e4) )],[refute_11_118,refute_11_143]) ).
cnf(refute_11_145,plain,
( e2 != e4
| e4 = e2 ),
inference(subst,[],[refute_11_14:[bind(X,$fot(e2)),bind(Y,$fot(e4))]]) ).
cnf(refute_11_146,plain,
e4 = e2,
inference(resolve,[$cnf( $equal(e2,e4) )],[refute_11_144,refute_11_145]) ).
cnf(refute_11_147,plain,
op(e1,e4) = op(e1,e4),
introduced(tautology,[refl,[$fot(op(e1,e4))]]) ).
cnf(refute_11_148,plain,
( e4 != e2
| op(e1,e4) != op(e1,e4)
| op(e1,e4) = op(e1,e2) ),
introduced(tautology,[equality,[$cnf( $equal(op(e1,e4),op(e1,e4)) ),[1,1],$fot(e2)]]) ).
cnf(refute_11_149,plain,
( e4 != e2
| op(e1,e4) = op(e1,e2) ),
inference(resolve,[$cnf( $equal(op(e1,e4),op(e1,e4)) )],[refute_11_147,refute_11_148]) ).
cnf(refute_11_150,plain,
op(e1,e4) = op(e1,e2),
inference(resolve,[$cnf( $equal(e4,e2) )],[refute_11_146,refute_11_149]) ).
cnf(refute_11_151,plain,
( op(e1,e2) != e0
| op(e1,e4) != op(e1,e2)
| op(e1,e4) = e0 ),
inference(subst,[],[refute_11_26:[bind(X,$fot(op(e1,e4))),bind(Y,$fot(op(e1,e2))),bind(Z,$fot(e0))]]) ).
cnf(refute_11_152,plain,
( op(e1,e2) != e0
| op(e1,e4) = e0 ),
inference(resolve,[$cnf( $equal(op(e1,e4),op(e1,e2)) )],[refute_11_150,refute_11_151]) ).
cnf(refute_11_153,plain,
op(e1,e4) = e0,
inference(resolve,[$cnf( $equal(op(e1,e2),e0) )],[refute_11_59,refute_11_152]) ).
cnf(refute_11_154,plain,
( op(e1,e4) != e0
| op(e1,e4) != e1
| e0 = e1 ),
introduced(tautology,[equality,[$cnf( $equal(op(e1,e4),e1) ),[0],$fot(e0)]]) ).
cnf(refute_11_155,plain,
( op(e1,e4) != e1
| e0 = e1 ),
inference(resolve,[$cnf( $equal(op(e1,e4),e0) )],[refute_11_153,refute_11_154]) ).
cnf(refute_11_156,plain,
e0 = e1,
inference(resolve,[$cnf( $equal(op(e1,e4),e1) )],[refute_11_117,refute_11_155]) ).
cnf(refute_11_157,plain,
e0 != e1,
inference(canonicalize,[],[normalize_11_25]) ).
cnf(refute_11_158,plain,
$false,
inference(resolve,[$cnf( $equal(e0,e1) )],[refute_11_156,refute_11_157]) ).
fof(negate_12_0,plain,
~ ( ( ( op(e0,e0) = e0
| op(e1,e1) = e0
| op(e2,e2) = e0
| op(e3,e3) = e0
| op(e4,e4) = e0 )
& ( op(e0,e0) = e1
| op(e1,e1) = e1
| op(e2,e2) = e1
| op(e3,e3) = e1
| op(e4,e4) = e1 )
& ( op(e0,e0) = e2
| op(e1,e1) = e2
| op(e2,e2) = e2
| op(e3,e3) = e2
| op(e4,e4) = e2 )
& ( op(e0,e0) = e3
| op(e1,e1) = e3
| op(e2,e2) = e3
| op(e3,e3) = e3
| op(e4,e4) = e3 )
& ( op(e0,e0) = e4
| op(e1,e1) = e4
| op(e2,e2) = e4
| op(e3,e3) = e4
| op(e4,e4) = e4 )
& ~ ( op(e0,e0) != op(e0,e0)
& op(op(e0,e0),e0) = e0
& op(op(e0,e0),e0) != e0 )
& ~ ( op(e1,e0) != op(e0,e1)
& op(op(e0,e1),e1) = e0
& op(op(e0,e1),e0) != e1 )
& ~ ( op(e2,e0) != op(e0,e2)
& op(op(e0,e2),e2) = e0
& op(op(e0,e2),e0) != e2 )
& ~ ( op(e3,e0) != op(e0,e3)
& op(op(e0,e3),e3) = e0
& op(op(e0,e3),e0) != e3 )
& ~ ( op(e4,e0) != op(e0,e4)
& op(op(e0,e4),e4) = e0
& op(op(e0,e4),e0) != e4 )
& ~ ( op(e0,e1) != op(e1,e0)
& op(op(e1,e0),e0) = e1
& op(op(e1,e0),e1) != e0 )
& ~ ( op(e1,e1) != op(e1,e1)
& op(op(e1,e1),e1) = e1
& op(op(e1,e1),e1) != e1 )
& ~ ( op(e2,e1) != op(e1,e2)
& op(op(e1,e2),e2) = e1
& op(op(e1,e2),e1) != e2 )
& ~ ( op(e3,e1) != op(e1,e3)
& op(op(e1,e3),e3) = e1
& op(op(e1,e3),e1) != e3 )
& ~ ( op(e4,e1) != op(e1,e4)
& op(op(e1,e4),e4) = e1
& op(op(e1,e4),e1) != e4 )
& ~ ( op(e0,e2) != op(e2,e0)
& op(op(e2,e0),e0) = e2
& op(op(e2,e0),e2) != e0 )
& ~ ( op(e1,e2) != op(e2,e1)
& op(op(e2,e1),e1) = e2
& op(op(e2,e1),e2) != e1 )
& op(e2,e2) != op(e2,e2)
& op(op(e2,e2),e2) = e2 )
=> op(op(e2,e2),e2) = e2 ),
inference(negate,[],[subgoal_12]) ).
fof(normalize_12_0,plain,
$false,
inference(canonicalize,[],[negate_12_0]) ).
cnf(refute_12_0,plain,
$false,
inference(canonicalize,[],[normalize_12_0]) ).
fof(negate_13_0,plain,
~ ( ( ( op(e0,e0) = e0
| op(e1,e1) = e0
| op(e2,e2) = e0
| op(e3,e3) = e0
| op(e4,e4) = e0 )
& ( op(e0,e0) = e1
| op(e1,e1) = e1
| op(e2,e2) = e1
| op(e3,e3) = e1
| op(e4,e4) = e1 )
& ( op(e0,e0) = e2
| op(e1,e1) = e2
| op(e2,e2) = e2
| op(e3,e3) = e2
| op(e4,e4) = e2 )
& ( op(e0,e0) = e3
| op(e1,e1) = e3
| op(e2,e2) = e3
| op(e3,e3) = e3
| op(e4,e4) = e3 )
& ( op(e0,e0) = e4
| op(e1,e1) = e4
| op(e2,e2) = e4
| op(e3,e3) = e4
| op(e4,e4) = e4 )
& ~ ( op(e0,e0) != op(e0,e0)
& op(op(e0,e0),e0) = e0
& op(op(e0,e0),e0) != e0 )
& ~ ( op(e1,e0) != op(e0,e1)
& op(op(e0,e1),e1) = e0
& op(op(e0,e1),e0) != e1 )
& ~ ( op(e2,e0) != op(e0,e2)
& op(op(e0,e2),e2) = e0
& op(op(e0,e2),e0) != e2 )
& ~ ( op(e3,e0) != op(e0,e3)
& op(op(e0,e3),e3) = e0
& op(op(e0,e3),e0) != e3 )
& ~ ( op(e4,e0) != op(e0,e4)
& op(op(e0,e4),e4) = e0
& op(op(e0,e4),e0) != e4 )
& ~ ( op(e0,e1) != op(e1,e0)
& op(op(e1,e0),e0) = e1
& op(op(e1,e0),e1) != e0 )
& ~ ( op(e1,e1) != op(e1,e1)
& op(op(e1,e1),e1) = e1
& op(op(e1,e1),e1) != e1 )
& ~ ( op(e2,e1) != op(e1,e2)
& op(op(e1,e2),e2) = e1
& op(op(e1,e2),e1) != e2 )
& ~ ( op(e3,e1) != op(e1,e3)
& op(op(e1,e3),e3) = e1
& op(op(e1,e3),e1) != e3 )
& ~ ( op(e4,e1) != op(e1,e4)
& op(op(e1,e4),e4) = e1
& op(op(e1,e4),e1) != e4 )
& ~ ( op(e0,e2) != op(e2,e0)
& op(op(e2,e0),e0) = e2
& op(op(e2,e0),e2) != e0 )
& ~ ( op(e1,e2) != op(e2,e1)
& op(op(e2,e1),e1) = e2
& op(op(e2,e1),e2) != e1 )
& ~ ( op(e2,e2) != op(e2,e2)
& op(op(e2,e2),e2) = e2
& op(op(e2,e2),e2) != e2 )
& op(e3,e2) != op(e2,e3)
& op(op(e2,e3),e3) = e2 )
=> op(op(e2,e3),e2) = e3 ),
inference(negate,[],[subgoal_13]) ).
fof(normalize_13_0,plain,
( e0 = op(e1,op(op(e1,e1),op(e1,e1)))
& e2 = op(op(e1,e1),op(e1,e1))
& e3 = op(op(op(e1,e1),op(e1,e1)),op(op(e1,e1),op(e1,e1)))
& e4 = op(e1,e1) ),
inference(canonicalize,[],[ax6]) ).
fof(normalize_13_1,plain,
e0 = op(e1,op(op(e1,e1),op(e1,e1))),
inference(conjunct,[],[normalize_13_0]) ).
fof(normalize_13_2,plain,
e2 = op(op(e1,e1),op(e1,e1)),
inference(conjunct,[],[normalize_13_0]) ).
fof(normalize_13_3,plain,
e4 = op(e1,e1),
inference(conjunct,[],[normalize_13_0]) ).
fof(normalize_13_4,plain,
( op(e3,e2) != op(e2,e3)
& op(op(e2,e3),e2) != e3
& op(op(e2,e3),e3) = e2
& ( op(op(e0,e1),e1) != e0
| op(e1,e0) = op(e0,e1)
| op(op(e0,e1),e0) = e1 )
& ( op(op(e0,e2),e2) != e0
| op(e2,e0) = op(e0,e2)
| op(op(e0,e2),e0) = e2 )
& ( op(op(e0,e3),e3) != e0
| op(e3,e0) = op(e0,e3)
| op(op(e0,e3),e0) = e3 )
& ( op(op(e0,e4),e4) != e0
| op(e4,e0) = op(e0,e4)
| op(op(e0,e4),e0) = e4 )
& ( op(op(e1,e0),e0) != e1
| op(e0,e1) = op(e1,e0)
| op(op(e1,e0),e1) = e0 )
& ( op(op(e1,e2),e2) != e1
| op(e2,e1) = op(e1,e2)
| op(op(e1,e2),e1) = e2 )
& ( op(op(e1,e3),e3) != e1
| op(e3,e1) = op(e1,e3)
| op(op(e1,e3),e1) = e3 )
& ( op(op(e1,e4),e4) != e1
| op(e4,e1) = op(e1,e4)
| op(op(e1,e4),e1) = e4 )
& ( op(op(e2,e0),e0) != e2
| op(e0,e2) = op(e2,e0)
| op(op(e2,e0),e2) = e0 )
& ( op(op(e2,e1),e1) != e2
| op(e1,e2) = op(e2,e1)
| op(op(e2,e1),e2) = e1 )
& ( op(e0,e0) = e0
| op(e1,e1) = e0
| op(e2,e2) = e0
| op(e3,e3) = e0
| op(e4,e4) = e0 )
& ( op(e0,e0) = e1
| op(e1,e1) = e1
| op(e2,e2) = e1
| op(e3,e3) = e1
| op(e4,e4) = e1 )
& ( op(e0,e0) = e2
| op(e1,e1) = e2
| op(e2,e2) = e2
| op(e3,e3) = e2
| op(e4,e4) = e2 )
& ( op(e0,e0) = e3
| op(e1,e1) = e3
| op(e2,e2) = e3
| op(e3,e3) = e3
| op(e4,e4) = e3 )
& ( op(e0,e0) = e4
| op(e1,e1) = e4
| op(e2,e2) = e4
| op(e3,e3) = e4
| op(e4,e4) = e4 ) ),
inference(canonicalize,[],[negate_13_0]) ).
fof(normalize_13_5,plain,
( op(e0,e0) = e1
| op(e1,e1) = e1
| op(e2,e2) = e1
| op(e3,e3) = e1
| op(e4,e4) = e1 ),
inference(conjunct,[],[normalize_13_4]) ).
fof(normalize_13_6,plain,
e3 = op(op(op(e1,e1),op(e1,e1)),op(op(e1,e1),op(e1,e1))),
inference(conjunct,[],[normalize_13_0]) ).
fof(normalize_13_7,plain,
( e0 != e1
& e0 != e2
& e0 != e3
& e0 != e4
& e1 != e2
& e1 != e3
& e1 != e4
& e2 != e3
& e2 != e4
& e3 != e4 ),
inference(canonicalize,[],[ax5]) ).
fof(normalize_13_8,plain,
e1 != e2,
inference(conjunct,[],[normalize_13_7]) ).
fof(normalize_13_9,plain,
e1 != e3,
inference(conjunct,[],[normalize_13_7]) ).
fof(normalize_13_10,plain,
e1 != e4,
inference(conjunct,[],[normalize_13_7]) ).
fof(normalize_13_11,plain,
( op(e0,unit) = e0
& op(e1,unit) = e1
& op(e2,unit) = e2
& op(e3,unit) = e3
& op(e4,unit) = e4
& op(unit,e0) = e0
& op(unit,e1) = e1
& op(unit,e2) = e2
& op(unit,e3) = e3
& op(unit,e4) = e4
& ( unit = e0
| unit = e1
| unit = e2
| unit = e3
| unit = e4 ) ),
inference(canonicalize,[],[ax2]) ).
fof(normalize_13_12,plain,
op(e0,unit) = e0,
inference(conjunct,[],[normalize_13_11]) ).
fof(normalize_13_13,plain,
op(unit,e4) = e4,
inference(conjunct,[],[normalize_13_11]) ).
fof(normalize_13_14,plain,
op(unit,e2) = e2,
inference(conjunct,[],[normalize_13_11]) ).
fof(normalize_13_15,plain,
op(op(e2,e3),e2) != e3,
inference(conjunct,[],[normalize_13_4]) ).
fof(normalize_13_16,plain,
op(e2,unit) = e2,
inference(conjunct,[],[normalize_13_11]) ).
fof(normalize_13_17,plain,
( unit = e0
| unit = e1
| unit = e2
| unit = e3
| unit = e4 ),
inference(conjunct,[],[normalize_13_11]) ).
fof(normalize_13_18,plain,
( op(e0,e0) != op(e0,e1)
& op(e0,e0) != op(e0,e2)
& op(e0,e0) != op(e0,e3)
& op(e0,e0) != op(e0,e4)
& op(e0,e0) != op(e1,e0)
& op(e0,e0) != op(e2,e0)
& op(e0,e0) != op(e3,e0)
& op(e0,e0) != op(e4,e0)
& op(e0,e1) != op(e0,e2)
& op(e0,e1) != op(e0,e3)
& op(e0,e1) != op(e0,e4)
& op(e0,e1) != op(e1,e1)
& op(e0,e1) != op(e2,e1)
& op(e0,e1) != op(e3,e1)
& op(e0,e1) != op(e4,e1)
& op(e0,e2) != op(e0,e3)
& op(e0,e2) != op(e0,e4)
& op(e0,e2) != op(e1,e2)
& op(e0,e2) != op(e2,e2)
& op(e0,e2) != op(e3,e2)
& op(e0,e2) != op(e4,e2)
& op(e0,e3) != op(e0,e4)
& op(e0,e3) != op(e1,e3)
& op(e0,e3) != op(e2,e3)
& op(e0,e3) != op(e3,e3)
& op(e0,e3) != op(e4,e3)
& op(e0,e4) != op(e1,e4)
& op(e0,e4) != op(e2,e4)
& op(e0,e4) != op(e3,e4)
& op(e0,e4) != op(e4,e4)
& op(e1,e0) != op(e1,e1)
& op(e1,e0) != op(e1,e2)
& op(e1,e0) != op(e1,e3)
& op(e1,e0) != op(e1,e4)
& op(e1,e0) != op(e2,e0)
& op(e1,e0) != op(e3,e0)
& op(e1,e0) != op(e4,e0)
& op(e1,e1) != op(e1,e2)
& op(e1,e1) != op(e1,e3)
& op(e1,e1) != op(e1,e4)
& op(e1,e1) != op(e2,e1)
& op(e1,e1) != op(e3,e1)
& op(e1,e1) != op(e4,e1)
& op(e1,e2) != op(e1,e3)
& op(e1,e2) != op(e1,e4)
& op(e1,e2) != op(e2,e2)
& op(e1,e2) != op(e3,e2)
& op(e1,e2) != op(e4,e2)
& op(e1,e3) != op(e1,e4)
& op(e1,e3) != op(e2,e3)
& op(e1,e3) != op(e3,e3)
& op(e1,e3) != op(e4,e3)
& op(e1,e4) != op(e2,e4)
& op(e1,e4) != op(e3,e4)
& op(e1,e4) != op(e4,e4)
& op(e2,e0) != op(e2,e1)
& op(e2,e0) != op(e2,e2)
& op(e2,e0) != op(e2,e3)
& op(e2,e0) != op(e2,e4)
& op(e2,e0) != op(e3,e0)
& op(e2,e0) != op(e4,e0)
& op(e2,e1) != op(e2,e2)
& op(e2,e1) != op(e2,e3)
& op(e2,e1) != op(e2,e4)
& op(e2,e1) != op(e3,e1)
& op(e2,e1) != op(e4,e1)
& op(e2,e2) != op(e2,e3)
& op(e2,e2) != op(e2,e4)
& op(e2,e2) != op(e3,e2)
& op(e2,e2) != op(e4,e2)
& op(e2,e3) != op(e2,e4)
& op(e2,e3) != op(e3,e3)
& op(e2,e3) != op(e4,e3)
& op(e2,e4) != op(e3,e4)
& op(e2,e4) != op(e4,e4)
& op(e3,e0) != op(e3,e1)
& op(e3,e0) != op(e3,e2)
& op(e3,e0) != op(e3,e3)
& op(e3,e0) != op(e3,e4)
& op(e3,e0) != op(e4,e0)
& op(e3,e1) != op(e3,e2)
& op(e3,e1) != op(e3,e3)
& op(e3,e1) != op(e3,e4)
& op(e3,e1) != op(e4,e1)
& op(e3,e2) != op(e3,e3)
& op(e3,e2) != op(e3,e4)
& op(e3,e2) != op(e4,e2)
& op(e3,e3) != op(e3,e4)
& op(e3,e3) != op(e4,e3)
& op(e3,e4) != op(e4,e4)
& op(e4,e0) != op(e4,e1)
& op(e4,e0) != op(e4,e2)
& op(e4,e0) != op(e4,e3)
& op(e4,e0) != op(e4,e4)
& op(e4,e1) != op(e4,e2)
& op(e4,e1) != op(e4,e3)
& op(e4,e1) != op(e4,e4)
& op(e4,e2) != op(e4,e3)
& op(e4,e2) != op(e4,e4)
& op(e4,e3) != op(e4,e4) ),
inference(canonicalize,[],[ax4]) ).
fof(normalize_13_19,plain,
op(e1,e1) != op(e1,e4),
inference(conjunct,[],[normalize_13_18]) ).
fof(normalize_13_20,plain,
e2 != e3,
inference(conjunct,[],[normalize_13_7]) ).
fof(normalize_13_21,plain,
e2 != e4,
inference(conjunct,[],[normalize_13_7]) ).
fof(normalize_13_22,plain,
e0 != e1,
inference(conjunct,[],[normalize_13_7]) ).
fof(normalize_13_23,plain,
op(op(e2,e3),e3) = e2,
inference(conjunct,[],[normalize_13_4]) ).
fof(normalize_13_24,plain,
op(unit,e3) = e3,
inference(conjunct,[],[normalize_13_11]) ).
fof(normalize_13_25,plain,
op(e2,e3) != op(e3,e3),
inference(conjunct,[],[normalize_13_18]) ).
fof(normalize_13_26,plain,
( ( op(e0,e0) = e0
| op(e0,e0) = e1
| op(e0,e0) = e2
| op(e0,e0) = e3
| op(e0,e0) = e4 )
& ( op(e0,e1) = e0
| op(e0,e1) = e1
| op(e0,e1) = e2
| op(e0,e1) = e3
| op(e0,e1) = e4 )
& ( op(e0,e2) = e0
| op(e0,e2) = e1
| op(e0,e2) = e2
| op(e0,e2) = e3
| op(e0,e2) = e4 )
& ( op(e0,e3) = e0
| op(e0,e3) = e1
| op(e0,e3) = e2
| op(e0,e3) = e3
| op(e0,e3) = e4 )
& ( op(e0,e4) = e0
| op(e0,e4) = e1
| op(e0,e4) = e2
| op(e0,e4) = e3
| op(e0,e4) = e4 )
& ( op(e1,e0) = e0
| op(e1,e0) = e1
| op(e1,e0) = e2
| op(e1,e0) = e3
| op(e1,e0) = e4 )
& ( op(e1,e1) = e0
| op(e1,e1) = e1
| op(e1,e1) = e2
| op(e1,e1) = e3
| op(e1,e1) = e4 )
& ( op(e1,e2) = e0
| op(e1,e2) = e1
| op(e1,e2) = e2
| op(e1,e2) = e3
| op(e1,e2) = e4 )
& ( op(e1,e3) = e0
| op(e1,e3) = e1
| op(e1,e3) = e2
| op(e1,e3) = e3
| op(e1,e3) = e4 )
& ( op(e1,e4) = e0
| op(e1,e4) = e1
| op(e1,e4) = e2
| op(e1,e4) = e3
| op(e1,e4) = e4 )
& ( op(e2,e0) = e0
| op(e2,e0) = e1
| op(e2,e0) = e2
| op(e2,e0) = e3
| op(e2,e0) = e4 )
& ( op(e2,e1) = e0
| op(e2,e1) = e1
| op(e2,e1) = e2
| op(e2,e1) = e3
| op(e2,e1) = e4 )
& ( op(e2,e2) = e0
| op(e2,e2) = e1
| op(e2,e2) = e2
| op(e2,e2) = e3
| op(e2,e2) = e4 )
& ( op(e2,e3) = e0
| op(e2,e3) = e1
| op(e2,e3) = e2
| op(e2,e3) = e3
| op(e2,e3) = e4 )
& ( op(e2,e4) = e0
| op(e2,e4) = e1
| op(e2,e4) = e2
| op(e2,e4) = e3
| op(e2,e4) = e4 )
& ( op(e3,e0) = e0
| op(e3,e0) = e1
| op(e3,e0) = e2
| op(e3,e0) = e3
| op(e3,e0) = e4 )
& ( op(e3,e1) = e0
| op(e3,e1) = e1
| op(e3,e1) = e2
| op(e3,e1) = e3
| op(e3,e1) = e4 )
& ( op(e3,e2) = e0
| op(e3,e2) = e1
| op(e3,e2) = e2
| op(e3,e2) = e3
| op(e3,e2) = e4 )
& ( op(e3,e3) = e0
| op(e3,e3) = e1
| op(e3,e3) = e2
| op(e3,e3) = e3
| op(e3,e3) = e4 )
& ( op(e3,e4) = e0
| op(e3,e4) = e1
| op(e3,e4) = e2
| op(e3,e4) = e3
| op(e3,e4) = e4 )
& ( op(e4,e0) = e0
| op(e4,e0) = e1
| op(e4,e0) = e2
| op(e4,e0) = e3
| op(e4,e0) = e4 )
& ( op(e4,e1) = e0
| op(e4,e1) = e1
| op(e4,e1) = e2
| op(e4,e1) = e3
| op(e4,e1) = e4 )
& ( op(e4,e2) = e0
| op(e4,e2) = e1
| op(e4,e2) = e2
| op(e4,e2) = e3
| op(e4,e2) = e4 )
& ( op(e4,e3) = e0
| op(e4,e3) = e1
| op(e4,e3) = e2
| op(e4,e3) = e3
| op(e4,e3) = e4 )
& ( op(e4,e4) = e0
| op(e4,e4) = e1
| op(e4,e4) = e2
| op(e4,e4) = e3
| op(e4,e4) = e4 ) ),
inference(canonicalize,[],[ax1]) ).
fof(normalize_13_27,plain,
( op(e2,e3) = e0
| op(e2,e3) = e1
| op(e2,e3) = e2
| op(e2,e3) = e3
| op(e2,e3) = e4 ),
inference(conjunct,[],[normalize_13_26]) ).
fof(normalize_13_28,plain,
op(e2,e2) != op(e2,e3),
inference(conjunct,[],[normalize_13_18]) ).
fof(normalize_13_29,plain,
op(e4,e3) != op(e4,e4),
inference(conjunct,[],[normalize_13_18]) ).
fof(normalize_13_30,plain,
op(e1,e1) != op(e1,e2),
inference(conjunct,[],[normalize_13_18]) ).
cnf(refute_13_0,plain,
e0 = op(e1,op(op(e1,e1),op(e1,e1))),
inference(canonicalize,[],[normalize_13_1]) ).
cnf(refute_13_1,plain,
e2 = op(op(e1,e1),op(e1,e1)),
inference(canonicalize,[],[normalize_13_2]) ).
cnf(refute_13_2,plain,
X = X,
introduced(tautology,[refl,[$fot(X)]]) ).
cnf(refute_13_3,plain,
( X != X
| X != Y
| Y = X ),
introduced(tautology,[equality,[$cnf( $equal(X,X) ),[0],$fot(Y)]]) ).
cnf(refute_13_4,plain,
( X != Y
| Y = X ),
inference(resolve,[$cnf( $equal(X,X) )],[refute_13_2,refute_13_3]) ).
cnf(refute_13_5,plain,
( e2 != op(op(e1,e1),op(e1,e1))
| op(op(e1,e1),op(e1,e1)) = e2 ),
inference(subst,[],[refute_13_4:[bind(X,$fot(e2)),bind(Y,$fot(op(op(e1,e1),op(e1,e1))))]]) ).
cnf(refute_13_6,plain,
op(op(e1,e1),op(e1,e1)) = e2,
inference(resolve,[$cnf( $equal(e2,op(op(e1,e1),op(e1,e1))) )],[refute_13_1,refute_13_5]) ).
cnf(refute_13_7,plain,
op(e1,op(op(e1,e1),op(e1,e1))) = op(e1,op(op(e1,e1),op(e1,e1))),
introduced(tautology,[refl,[$fot(op(e1,op(op(e1,e1),op(e1,e1))))]]) ).
cnf(refute_13_8,plain,
( op(e1,op(op(e1,e1),op(e1,e1))) != op(e1,op(op(e1,e1),op(e1,e1)))
| op(op(e1,e1),op(e1,e1)) != e2
| op(e1,op(op(e1,e1),op(e1,e1))) = op(e1,e2) ),
introduced(tautology,[equality,[$cnf( $equal(op(e1,op(op(e1,e1),op(e1,e1))),op(e1,op(op(e1,e1),op(e1,e1)))) ),[1,1],$fot(e2)]]) ).
cnf(refute_13_9,plain,
( op(op(e1,e1),op(e1,e1)) != e2
| op(e1,op(op(e1,e1),op(e1,e1))) = op(e1,e2) ),
inference(resolve,[$cnf( $equal(op(e1,op(op(e1,e1),op(e1,e1))),op(e1,op(op(e1,e1),op(e1,e1)))) )],[refute_13_7,refute_13_8]) ).
cnf(refute_13_10,plain,
op(e1,op(op(e1,e1),op(e1,e1))) = op(e1,e2),
inference(resolve,[$cnf( $equal(op(op(e1,e1),op(e1,e1)),e2) )],[refute_13_6,refute_13_9]) ).
cnf(refute_13_11,plain,
( e0 != op(e1,op(op(e1,e1),op(e1,e1)))
| op(e1,op(op(e1,e1),op(e1,e1))) != op(e1,e2)
| e0 = op(e1,e2) ),
introduced(tautology,[equality,[$cnf( ~ $equal(e0,op(e1,e2)) ),[0],$fot(op(e1,op(op(e1,e1),op(e1,e1))))]]) ).
cnf(refute_13_12,plain,
( e0 != op(e1,op(op(e1,e1),op(e1,e1)))
| e0 = op(e1,e2) ),
inference(resolve,[$cnf( $equal(op(e1,op(op(e1,e1),op(e1,e1))),op(e1,e2)) )],[refute_13_10,refute_13_11]) ).
cnf(refute_13_13,plain,
e0 = op(e1,e2),
inference(resolve,[$cnf( $equal(e0,op(e1,op(op(e1,e1),op(e1,e1)))) )],[refute_13_0,refute_13_12]) ).
cnf(refute_13_14,plain,
e4 = op(e1,e1),
inference(canonicalize,[],[normalize_13_3]) ).
cnf(refute_13_15,plain,
( e4 != op(e1,e1)
| op(e1,e1) = e4 ),
inference(subst,[],[refute_13_4:[bind(X,$fot(e4)),bind(Y,$fot(op(e1,e1)))]]) ).
cnf(refute_13_16,plain,
op(e1,e1) = e4,
inference(resolve,[$cnf( $equal(e4,op(e1,e1)) )],[refute_13_14,refute_13_15]) ).
cnf(refute_13_17,plain,
( op(e0,e0) = e1
| op(e1,e1) = e1
| op(e2,e2) = e1
| op(e3,e3) = e1
| op(e4,e4) = e1 ),
inference(canonicalize,[],[normalize_13_5]) ).
cnf(refute_13_18,plain,
( op(e1,e1) != e1
| op(e1,e1) != e4
| e4 = e1 ),
introduced(tautology,[equality,[$cnf( $equal(op(e1,e1),e1) ),[0],$fot(e4)]]) ).
cnf(refute_13_19,plain,
( op(e1,e1) != e1
| e4 = e1 ),
inference(resolve,[$cnf( $equal(op(e1,e1),e4) )],[refute_13_16,refute_13_18]) ).
cnf(refute_13_20,plain,
( e4 = e1
| op(e0,e0) = e1
| op(e2,e2) = e1
| op(e3,e3) = e1
| op(e4,e4) = e1 ),
inference(resolve,[$cnf( $equal(op(e1,e1),e1) )],[refute_13_17,refute_13_19]) ).
cnf(refute_13_21,plain,
e3 = op(op(op(e1,e1),op(e1,e1)),op(op(e1,e1),op(e1,e1))),
inference(canonicalize,[],[normalize_13_6]) ).
cnf(refute_13_22,plain,
op(e2,op(op(e1,e1),op(e1,e1))) = op(e2,op(op(e1,e1),op(e1,e1))),
introduced(tautology,[refl,[$fot(op(e2,op(op(e1,e1),op(e1,e1))))]]) ).
cnf(refute_13_23,plain,
( op(e2,op(op(e1,e1),op(e1,e1))) != op(e2,op(op(e1,e1),op(e1,e1)))
| op(op(e1,e1),op(e1,e1)) != e2
| op(e2,op(op(e1,e1),op(e1,e1))) = op(e2,e2) ),
introduced(tautology,[equality,[$cnf( $equal(op(e2,op(op(e1,e1),op(e1,e1))),op(e2,op(op(e1,e1),op(e1,e1)))) ),[1,1],$fot(e2)]]) ).
cnf(refute_13_24,plain,
( op(op(e1,e1),op(e1,e1)) != e2
| op(e2,op(op(e1,e1),op(e1,e1))) = op(e2,e2) ),
inference(resolve,[$cnf( $equal(op(e2,op(op(e1,e1),op(e1,e1))),op(e2,op(op(e1,e1),op(e1,e1)))) )],[refute_13_22,refute_13_23]) ).
cnf(refute_13_25,plain,
op(e2,op(op(e1,e1),op(e1,e1))) = op(e2,e2),
inference(resolve,[$cnf( $equal(op(op(e1,e1),op(e1,e1)),e2) )],[refute_13_6,refute_13_24]) ).
cnf(refute_13_26,plain,
op(op(op(e1,e1),op(e1,e1)),op(op(e1,e1),op(e1,e1))) = op(op(op(e1,e1),op(e1,e1)),op(op(e1,e1),op(e1,e1))),
introduced(tautology,[refl,[$fot(op(op(op(e1,e1),op(e1,e1)),op(op(e1,e1),op(e1,e1))))]]) ).
cnf(refute_13_27,plain,
( op(op(e1,e1),op(e1,e1)) != e2
| op(op(op(e1,e1),op(e1,e1)),op(op(e1,e1),op(e1,e1))) != op(op(op(e1,e1),op(e1,e1)),op(op(e1,e1),op(e1,e1)))
| op(op(op(e1,e1),op(e1,e1)),op(op(e1,e1),op(e1,e1))) = op(e2,op(op(e1,e1),op(e1,e1))) ),
introduced(tautology,[equality,[$cnf( $equal(op(op(op(e1,e1),op(e1,e1)),op(op(e1,e1),op(e1,e1))),op(op(op(e1,e1),op(e1,e1)),op(op(e1,e1),op(e1,e1)))) ),[1,0],$fot(e2)]]) ).
cnf(refute_13_28,plain,
( op(op(e1,e1),op(e1,e1)) != e2
| op(op(op(e1,e1),op(e1,e1)),op(op(e1,e1),op(e1,e1))) = op(e2,op(op(e1,e1),op(e1,e1))) ),
inference(resolve,[$cnf( $equal(op(op(op(e1,e1),op(e1,e1)),op(op(e1,e1),op(e1,e1))),op(op(op(e1,e1),op(e1,e1)),op(op(e1,e1),op(e1,e1)))) )],[refute_13_26,refute_13_27]) ).
cnf(refute_13_29,plain,
op(op(op(e1,e1),op(e1,e1)),op(op(e1,e1),op(e1,e1))) = op(e2,op(op(e1,e1),op(e1,e1))),
inference(resolve,[$cnf( $equal(op(op(e1,e1),op(e1,e1)),e2) )],[refute_13_6,refute_13_28]) ).
cnf(refute_13_30,plain,
( Y != X
| Y != Z
| X = Z ),
introduced(tautology,[equality,[$cnf( $equal(Y,Z) ),[0],$fot(X)]]) ).
cnf(refute_13_31,plain,
( X != Y
| Y != Z
| X = Z ),
inference(resolve,[$cnf( $equal(Y,X) )],[refute_13_4,refute_13_30]) ).
cnf(refute_13_32,plain,
( op(e2,op(op(e1,e1),op(e1,e1))) != op(e2,e2)
| op(op(op(e1,e1),op(e1,e1)),op(op(e1,e1),op(e1,e1))) != op(e2,op(op(e1,e1),op(e1,e1)))
| op(op(op(e1,e1),op(e1,e1)),op(op(e1,e1),op(e1,e1))) = op(e2,e2) ),
inference(subst,[],[refute_13_31:[bind(X,$fot(op(op(op(e1,e1),op(e1,e1)),op(op(e1,e1),op(e1,e1))))),bind(Y,$fot(op(e2,op(op(e1,e1),op(e1,e1))))),bind(Z,$fot(op(e2,e2)))]]) ).
cnf(refute_13_33,plain,
( op(e2,op(op(e1,e1),op(e1,e1))) != op(e2,e2)
| op(op(op(e1,e1),op(e1,e1)),op(op(e1,e1),op(e1,e1))) = op(e2,e2) ),
inference(resolve,[$cnf( $equal(op(op(op(e1,e1),op(e1,e1)),op(op(e1,e1),op(e1,e1))),op(e2,op(op(e1,e1),op(e1,e1)))) )],[refute_13_29,refute_13_32]) ).
cnf(refute_13_34,plain,
op(op(op(e1,e1),op(e1,e1)),op(op(e1,e1),op(e1,e1))) = op(e2,e2),
inference(resolve,[$cnf( $equal(op(e2,op(op(e1,e1),op(e1,e1))),op(e2,e2)) )],[refute_13_25,refute_13_33]) ).
cnf(refute_13_35,plain,
( e3 != op(op(op(e1,e1),op(e1,e1)),op(op(e1,e1),op(e1,e1)))
| op(op(op(e1,e1),op(e1,e1)),op(op(e1,e1),op(e1,e1))) != op(e2,e2)
| e3 = op(e2,e2) ),
introduced(tautology,[equality,[$cnf( ~ $equal(e3,op(e2,e2)) ),[0],$fot(op(op(op(e1,e1),op(e1,e1)),op(op(e1,e1),op(e1,e1))))]]) ).
cnf(refute_13_36,plain,
( e3 != op(op(op(e1,e1),op(e1,e1)),op(op(e1,e1),op(e1,e1)))
| e3 = op(e2,e2) ),
inference(resolve,[$cnf( $equal(op(op(op(e1,e1),op(e1,e1)),op(op(e1,e1),op(e1,e1))),op(e2,e2)) )],[refute_13_34,refute_13_35]) ).
cnf(refute_13_37,plain,
e3 = op(e2,e2),
inference(resolve,[$cnf( $equal(e3,op(op(op(e1,e1),op(e1,e1)),op(op(e1,e1),op(e1,e1)))) )],[refute_13_21,refute_13_36]) ).
cnf(refute_13_38,plain,
( e3 != op(e2,e2)
| op(e2,e2) = e3 ),
inference(subst,[],[refute_13_4:[bind(X,$fot(e3)),bind(Y,$fot(op(e2,e2)))]]) ).
cnf(refute_13_39,plain,
op(e2,e2) = e3,
inference(resolve,[$cnf( $equal(e3,op(e2,e2)) )],[refute_13_37,refute_13_38]) ).
cnf(refute_13_40,plain,
( op(e2,e2) != e1
| op(e2,e2) != e3
| e3 = e1 ),
introduced(tautology,[equality,[$cnf( $equal(op(e2,e2),e1) ),[0],$fot(e3)]]) ).
cnf(refute_13_41,plain,
( op(e2,e2) != e1
| e3 = e1 ),
inference(resolve,[$cnf( $equal(op(e2,e2),e3) )],[refute_13_39,refute_13_40]) ).
cnf(refute_13_42,plain,
( e3 = e1
| e4 = e1
| op(e0,e0) = e1
| op(e3,e3) = e1
| op(e4,e4) = e1 ),
inference(resolve,[$cnf( $equal(op(e2,e2),e1) )],[refute_13_20,refute_13_41]) ).
cnf(refute_13_43,plain,
op(e4,op(e1,e1)) = op(e4,op(e1,e1)),
introduced(tautology,[refl,[$fot(op(e4,op(e1,e1)))]]) ).
cnf(refute_13_44,plain,
( op(e1,e1) != e4
| op(e4,op(e1,e1)) != op(e4,op(e1,e1))
| op(e4,op(e1,e1)) = op(e4,e4) ),
introduced(tautology,[equality,[$cnf( $equal(op(e4,op(e1,e1)),op(e4,op(e1,e1))) ),[1,1],$fot(e4)]]) ).
cnf(refute_13_45,plain,
( op(e1,e1) != e4
| op(e4,op(e1,e1)) = op(e4,e4) ),
inference(resolve,[$cnf( $equal(op(e4,op(e1,e1)),op(e4,op(e1,e1))) )],[refute_13_43,refute_13_44]) ).
cnf(refute_13_46,plain,
op(e4,op(e1,e1)) = op(e4,e4),
inference(resolve,[$cnf( $equal(op(e1,e1),e4) )],[refute_13_16,refute_13_45]) ).
cnf(refute_13_47,plain,
op(op(e1,e1),op(e1,e1)) = op(op(e1,e1),op(e1,e1)),
introduced(tautology,[refl,[$fot(op(op(e1,e1),op(e1,e1)))]]) ).
cnf(refute_13_48,plain,
( op(e1,e1) != e4
| op(op(e1,e1),op(e1,e1)) != op(op(e1,e1),op(e1,e1))
| op(op(e1,e1),op(e1,e1)) = op(e4,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(e4)]]) ).
cnf(refute_13_49,plain,
( op(e1,e1) != e4
| op(op(e1,e1),op(e1,e1)) = op(e4,op(e1,e1)) ),
inference(resolve,[$cnf( $equal(op(op(e1,e1),op(e1,e1)),op(op(e1,e1),op(e1,e1))) )],[refute_13_47,refute_13_48]) ).
cnf(refute_13_50,plain,
op(op(e1,e1),op(e1,e1)) = op(e4,op(e1,e1)),
inference(resolve,[$cnf( $equal(op(e1,e1),e4) )],[refute_13_16,refute_13_49]) ).
cnf(refute_13_51,plain,
( op(e4,op(e1,e1)) != op(e4,e4)
| op(op(e1,e1),op(e1,e1)) != op(e4,op(e1,e1))
| op(op(e1,e1),op(e1,e1)) = op(e4,e4) ),
inference(subst,[],[refute_13_31:[bind(X,$fot(op(op(e1,e1),op(e1,e1)))),bind(Y,$fot(op(e4,op(e1,e1)))),bind(Z,$fot(op(e4,e4)))]]) ).
cnf(refute_13_52,plain,
( op(e4,op(e1,e1)) != op(e4,e4)
| op(op(e1,e1),op(e1,e1)) = op(e4,e4) ),
inference(resolve,[$cnf( $equal(op(op(e1,e1),op(e1,e1)),op(e4,op(e1,e1))) )],[refute_13_50,refute_13_51]) ).
cnf(refute_13_53,plain,
op(op(e1,e1),op(e1,e1)) = op(e4,e4),
inference(resolve,[$cnf( $equal(op(e4,op(e1,e1)),op(e4,e4)) )],[refute_13_46,refute_13_52]) ).
cnf(refute_13_54,plain,
( e2 != op(op(e1,e1),op(e1,e1))
| op(op(e1,e1),op(e1,e1)) != op(e4,e4)
| e2 = op(e4,e4) ),
introduced(tautology,[equality,[$cnf( ~ $equal(e2,op(e4,e4)) ),[0],$fot(op(op(e1,e1),op(e1,e1)))]]) ).
cnf(refute_13_55,plain,
( e2 != op(op(e1,e1),op(e1,e1))
| e2 = op(e4,e4) ),
inference(resolve,[$cnf( $equal(op(op(e1,e1),op(e1,e1)),op(e4,e4)) )],[refute_13_53,refute_13_54]) ).
cnf(refute_13_56,plain,
e2 = op(e4,e4),
inference(resolve,[$cnf( $equal(e2,op(op(e1,e1),op(e1,e1))) )],[refute_13_1,refute_13_55]) ).
cnf(refute_13_57,plain,
( e2 != op(e4,e4)
| op(e4,e4) = e2 ),
inference(subst,[],[refute_13_4:[bind(X,$fot(e2)),bind(Y,$fot(op(e4,e4)))]]) ).
cnf(refute_13_58,plain,
op(e4,e4) = e2,
inference(resolve,[$cnf( $equal(e2,op(e4,e4)) )],[refute_13_56,refute_13_57]) ).
cnf(refute_13_59,plain,
( op(e4,e4) != e1
| op(e4,e4) != e2
| e2 = e1 ),
introduced(tautology,[equality,[$cnf( $equal(op(e4,e4),e1) ),[0],$fot(e2)]]) ).
cnf(refute_13_60,plain,
( op(e4,e4) != e1
| e2 = e1 ),
inference(resolve,[$cnf( $equal(op(e4,e4),e2) )],[refute_13_58,refute_13_59]) ).
cnf(refute_13_61,plain,
( e2 = e1
| e3 = e1
| e4 = e1
| op(e0,e0) = e1
| op(e3,e3) = e1 ),
inference(resolve,[$cnf( $equal(op(e4,e4),e1) )],[refute_13_42,refute_13_60]) ).
cnf(refute_13_62,plain,
e1 != e2,
inference(canonicalize,[],[normalize_13_8]) ).
cnf(refute_13_63,plain,
( e2 != e1
| e1 = e2 ),
inference(subst,[],[refute_13_4:[bind(X,$fot(e2)),bind(Y,$fot(e1))]]) ).
cnf(refute_13_64,plain,
e2 != e1,
inference(resolve,[$cnf( $equal(e1,e2) )],[refute_13_63,refute_13_62]) ).
cnf(refute_13_65,plain,
( e3 = e1
| e4 = e1
| op(e0,e0) = e1
| op(e3,e3) = e1 ),
inference(resolve,[$cnf( $equal(e2,e1) )],[refute_13_61,refute_13_64]) ).
cnf(refute_13_66,plain,
e1 != e3,
inference(canonicalize,[],[normalize_13_9]) ).
cnf(refute_13_67,plain,
( e3 != e1
| e1 = e3 ),
inference(subst,[],[refute_13_4:[bind(X,$fot(e3)),bind(Y,$fot(e1))]]) ).
cnf(refute_13_68,plain,
e3 != e1,
inference(resolve,[$cnf( $equal(e1,e3) )],[refute_13_67,refute_13_66]) ).
cnf(refute_13_69,plain,
( e4 = e1
| op(e0,e0) = e1
| op(e3,e3) = e1 ),
inference(resolve,[$cnf( $equal(e3,e1) )],[refute_13_65,refute_13_68]) ).
cnf(refute_13_70,plain,
e1 != e4,
inference(canonicalize,[],[normalize_13_10]) ).
cnf(refute_13_71,plain,
( e4 != e1
| e1 = e4 ),
inference(subst,[],[refute_13_4:[bind(X,$fot(e4)),bind(Y,$fot(e1))]]) ).
cnf(refute_13_72,plain,
e4 != e1,
inference(resolve,[$cnf( $equal(e1,e4) )],[refute_13_71,refute_13_70]) ).
cnf(refute_13_73,plain,
( op(e0,e0) = e1
| op(e3,e3) = e1 ),
inference(resolve,[$cnf( $equal(e4,e1) )],[refute_13_69,refute_13_72]) ).
cnf(refute_13_74,plain,
op(e0,unit) = e0,
inference(canonicalize,[],[normalize_13_12]) ).
cnf(refute_13_75,plain,
op(unit,e4) = e4,
inference(canonicalize,[],[normalize_13_13]) ).
cnf(refute_13_76,plain,
op(unit,e2) = e2,
inference(canonicalize,[],[normalize_13_14]) ).
cnf(refute_13_77,plain,
op(op(e2,e3),e2) != e3,
inference(canonicalize,[],[normalize_13_15]) ).
cnf(refute_13_78,plain,
op(e2,unit) = e2,
inference(canonicalize,[],[normalize_13_16]) ).
cnf(refute_13_79,plain,
( unit = e0
| unit = e1
| unit = e2
| unit = e3
| unit = e4 ),
inference(canonicalize,[],[normalize_13_17]) ).
cnf(refute_13_80,plain,
( op(e2,unit) != e2
| unit != e3
| op(e2,e3) = e2 ),
introduced(tautology,[equality,[$cnf( $equal(op(e2,unit),e2) ),[0,1],$fot(e3)]]) ).
cnf(refute_13_81,plain,
( op(e2,unit) != e2
| op(e2,e3) = e2
| unit = e0
| unit = e1
| unit = e2
| unit = e4 ),
inference(resolve,[$cnf( $equal(unit,e3) )],[refute_13_79,refute_13_80]) ).
cnf(refute_13_82,plain,
( op(e2,e3) = e2
| unit = e0
| unit = e1
| unit = e2
| unit = e4 ),
inference(resolve,[$cnf( $equal(op(e2,unit),e2) )],[refute_13_78,refute_13_81]) ).
cnf(refute_13_83,plain,
( op(e2,e2) != e3
| op(e2,e3) != e2
| op(op(e2,e3),e2) = e3 ),
introduced(tautology,[equality,[$cnf( ~ $equal(op(op(e2,e3),e2),e3) ),[0,0],$fot(e2)]]) ).
cnf(refute_13_84,plain,
( op(e2,e2) != e3
| op(op(e2,e3),e2) = e3
| unit = e0
| unit = e1
| unit = e2
| unit = e4 ),
inference(resolve,[$cnf( $equal(op(e2,e3),e2) )],[refute_13_82,refute_13_83]) ).
cnf(refute_13_85,plain,
( op(e2,e2) != e3
| unit = e0
| unit = e1
| unit = e2
| unit = e4 ),
inference(resolve,[$cnf( $equal(op(op(e2,e3),e2),e3) )],[refute_13_84,refute_13_77]) ).
cnf(refute_13_86,plain,
( e3 != e3
| op(e2,e2) != e3
| op(e2,e2) = e3 ),
introduced(tautology,[equality,[$cnf( $equal(op(e2,e2),e3) ),[1],$fot(e3)]]) ).
cnf(refute_13_87,plain,
( e3 != e3
| op(e2,e2) = e3 ),
inference(resolve,[$cnf( $equal(op(e2,e2),e3) )],[refute_13_39,refute_13_86]) ).
cnf(refute_13_88,plain,
( e3 != e3
| unit = e0
| unit = e1
| unit = e2
| unit = e4 ),
inference(resolve,[$cnf( $equal(op(e2,e2),e3) )],[refute_13_87,refute_13_85]) ).
cnf(refute_13_89,plain,
e3 = e3,
introduced(tautology,[refl,[$fot(e3)]]) ).
cnf(refute_13_90,plain,
( unit = e0
| unit = e1
| unit = e2
| unit = e4 ),
inference(resolve,[$cnf( $equal(e3,e3) )],[refute_13_89,refute_13_88]) ).
cnf(refute_13_91,plain,
( op(unit,e4) != e4
| unit != e1
| op(e1,e4) = e4 ),
introduced(tautology,[equality,[$cnf( $equal(op(unit,e4),e4) ),[0,0],$fot(e1)]]) ).
cnf(refute_13_92,plain,
( op(unit,e4) != e4
| op(e1,e4) = e4
| unit = e0
| unit = e2
| unit = e4 ),
inference(resolve,[$cnf( $equal(unit,e1) )],[refute_13_90,refute_13_91]) ).
cnf(refute_13_93,plain,
( op(e1,e4) = e4
| unit = e0
| unit = e2
| unit = e4 ),
inference(resolve,[$cnf( $equal(op(unit,e4),e4) )],[refute_13_75,refute_13_92]) ).
cnf(refute_13_94,plain,
op(e1,e1) != op(e1,e4),
inference(canonicalize,[],[normalize_13_19]) ).
cnf(refute_13_95,plain,
( e4 != op(e1,e4)
| op(e1,e1) != e4
| op(e1,e1) = op(e1,e4) ),
introduced(tautology,[equality,[$cnf( $equal(op(e1,e1),e4) ),[1],$fot(op(e1,e4))]]) ).
cnf(refute_13_96,plain,
( e4 != op(e1,e4)
| op(e1,e1) = op(e1,e4) ),
inference(resolve,[$cnf( $equal(op(e1,e1),e4) )],[refute_13_16,refute_13_95]) ).
cnf(refute_13_97,plain,
e4 != op(e1,e4),
inference(resolve,[$cnf( $equal(op(e1,e1),op(e1,e4)) )],[refute_13_96,refute_13_94]) ).
cnf(refute_13_98,plain,
( op(e1,e4) != e4
| e4 = op(e1,e4) ),
inference(subst,[],[refute_13_4:[bind(X,$fot(op(e1,e4))),bind(Y,$fot(e4))]]) ).
cnf(refute_13_99,plain,
op(e1,e4) != e4,
inference(resolve,[$cnf( $equal(e4,op(e1,e4)) )],[refute_13_98,refute_13_97]) ).
cnf(refute_13_100,plain,
( unit = e0
| unit = e2
| unit = e4 ),
inference(resolve,[$cnf( $equal(op(e1,e4),e4) )],[refute_13_93,refute_13_99]) ).
cnf(refute_13_101,plain,
( op(unit,e2) != e2
| unit != e2
| op(e2,e2) = e2 ),
introduced(tautology,[equality,[$cnf( $equal(op(unit,e2),e2) ),[0,0],$fot(e2)]]) ).
cnf(refute_13_102,plain,
( op(unit,e2) != e2
| op(e2,e2) = e2
| unit = e0
| unit = e4 ),
inference(resolve,[$cnf( $equal(unit,e2) )],[refute_13_100,refute_13_101]) ).
cnf(refute_13_103,plain,
( op(e2,e2) = e2
| unit = e0
| unit = e4 ),
inference(resolve,[$cnf( $equal(op(unit,e2),e2) )],[refute_13_76,refute_13_102]) ).
cnf(refute_13_104,plain,
( op(e2,e2) != e2
| op(e2,e2) != e3
| e3 = e2 ),
introduced(tautology,[equality,[$cnf( $equal(op(e2,e2),e2) ),[0],$fot(e3)]]) ).
cnf(refute_13_105,plain,
( op(e2,e2) != e2
| e3 = e2 ),
inference(resolve,[$cnf( $equal(op(e2,e2),e3) )],[refute_13_39,refute_13_104]) ).
cnf(refute_13_106,plain,
( e3 = e2
| unit = e0
| unit = e4 ),
inference(resolve,[$cnf( $equal(op(e2,e2),e2) )],[refute_13_103,refute_13_105]) ).
cnf(refute_13_107,plain,
e2 != e3,
inference(canonicalize,[],[normalize_13_20]) ).
cnf(refute_13_108,plain,
( e3 != e2
| e2 = e3 ),
inference(subst,[],[refute_13_4:[bind(X,$fot(e3)),bind(Y,$fot(e2))]]) ).
cnf(refute_13_109,plain,
e3 != e2,
inference(resolve,[$cnf( $equal(e2,e3) )],[refute_13_108,refute_13_107]) ).
cnf(refute_13_110,plain,
( unit = e0
| unit = e4 ),
inference(resolve,[$cnf( $equal(e3,e2) )],[refute_13_106,refute_13_109]) ).
cnf(refute_13_111,plain,
( op(unit,e4) != e4
| unit != e4
| op(e4,e4) = e4 ),
introduced(tautology,[equality,[$cnf( $equal(op(unit,e4),e4) ),[0,0],$fot(e4)]]) ).
cnf(refute_13_112,plain,
( op(unit,e4) != e4
| op(e4,e4) = e4
| unit = e0 ),
inference(resolve,[$cnf( $equal(unit,e4) )],[refute_13_110,refute_13_111]) ).
cnf(refute_13_113,plain,
( op(e4,e4) = e4
| unit = e0 ),
inference(resolve,[$cnf( $equal(op(unit,e4),e4) )],[refute_13_75,refute_13_112]) ).
cnf(refute_13_114,plain,
( op(e4,e4) != e2
| op(e4,e4) != e4
| e2 = e4 ),
introduced(tautology,[equality,[$cnf( $equal(op(e4,e4),e4) ),[0],$fot(e2)]]) ).
cnf(refute_13_115,plain,
( op(e4,e4) != e4
| e2 = e4 ),
inference(resolve,[$cnf( $equal(op(e4,e4),e2) )],[refute_13_58,refute_13_114]) ).
cnf(refute_13_116,plain,
( e2 = e4
| unit = e0 ),
inference(resolve,[$cnf( $equal(op(e4,e4),e4) )],[refute_13_113,refute_13_115]) ).
cnf(refute_13_117,plain,
e2 != e4,
inference(canonicalize,[],[normalize_13_21]) ).
cnf(refute_13_118,plain,
unit = e0,
inference(resolve,[$cnf( $equal(e2,e4) )],[refute_13_116,refute_13_117]) ).
cnf(refute_13_119,plain,
op(e0,unit) = op(e0,unit),
introduced(tautology,[refl,[$fot(op(e0,unit))]]) ).
cnf(refute_13_120,plain,
( op(e0,unit) != op(e0,unit)
| unit != e0
| op(e0,unit) = op(e0,e0) ),
introduced(tautology,[equality,[$cnf( $equal(op(e0,unit),op(e0,unit)) ),[1,1],$fot(e0)]]) ).
cnf(refute_13_121,plain,
( unit != e0
| op(e0,unit) = op(e0,e0) ),
inference(resolve,[$cnf( $equal(op(e0,unit),op(e0,unit)) )],[refute_13_119,refute_13_120]) ).
cnf(refute_13_122,plain,
op(e0,unit) = op(e0,e0),
inference(resolve,[$cnf( $equal(unit,e0) )],[refute_13_118,refute_13_121]) ).
cnf(refute_13_123,plain,
( op(e0,unit) != e0
| op(e0,unit) != op(e0,e0)
| op(e0,e0) = e0 ),
introduced(tautology,[equality,[$cnf( $equal(op(e0,unit),e0) ),[0],$fot(op(e0,e0))]]) ).
cnf(refute_13_124,plain,
( op(e0,unit) != e0
| op(e0,e0) = e0 ),
inference(resolve,[$cnf( $equal(op(e0,unit),op(e0,e0)) )],[refute_13_122,refute_13_123]) ).
cnf(refute_13_125,plain,
op(e0,e0) = e0,
inference(resolve,[$cnf( $equal(op(e0,unit),e0) )],[refute_13_74,refute_13_124]) ).
cnf(refute_13_126,plain,
( op(e0,e0) != e0
| op(e0,e0) != e1
| e0 = e1 ),
introduced(tautology,[equality,[$cnf( $equal(op(e0,e0),e1) ),[0],$fot(e0)]]) ).
cnf(refute_13_127,plain,
( op(e0,e0) != e1
| e0 = e1 ),
inference(resolve,[$cnf( $equal(op(e0,e0),e0) )],[refute_13_125,refute_13_126]) ).
cnf(refute_13_128,plain,
( e0 = e1
| op(e3,e3) = e1 ),
inference(resolve,[$cnf( $equal(op(e0,e0),e1) )],[refute_13_73,refute_13_127]) ).
cnf(refute_13_129,plain,
e0 != e1,
inference(canonicalize,[],[normalize_13_22]) ).
cnf(refute_13_130,plain,
op(e3,e3) = e1,
inference(resolve,[$cnf( $equal(e0,e1) )],[refute_13_128,refute_13_129]) ).
cnf(refute_13_131,plain,
op(op(e2,e3),e3) = e2,
inference(canonicalize,[],[normalize_13_23]) ).
cnf(refute_13_132,plain,
op(unit,e3) = e3,
inference(canonicalize,[],[normalize_13_24]) ).
cnf(refute_13_133,plain,
op(unit,e3) = op(unit,e3),
introduced(tautology,[refl,[$fot(op(unit,e3))]]) ).
cnf(refute_13_134,plain,
( op(unit,e3) != op(unit,e3)
| unit != e0
| op(unit,e3) = op(e0,e3) ),
introduced(tautology,[equality,[$cnf( $equal(op(unit,e3),op(unit,e3)) ),[1,0],$fot(e0)]]) ).
cnf(refute_13_135,plain,
( unit != e0
| op(unit,e3) = op(e0,e3) ),
inference(resolve,[$cnf( $equal(op(unit,e3),op(unit,e3)) )],[refute_13_133,refute_13_134]) ).
cnf(refute_13_136,plain,
op(unit,e3) = op(e0,e3),
inference(resolve,[$cnf( $equal(unit,e0) )],[refute_13_118,refute_13_135]) ).
cnf(refute_13_137,plain,
( op(unit,e3) != e3
| op(unit,e3) != op(e0,e3)
| op(e0,e3) = e3 ),
introduced(tautology,[equality,[$cnf( $equal(op(unit,e3),e3) ),[0],$fot(op(e0,e3))]]) ).
cnf(refute_13_138,plain,
( op(unit,e3) != e3
| op(e0,e3) = e3 ),
inference(resolve,[$cnf( $equal(op(unit,e3),op(e0,e3)) )],[refute_13_136,refute_13_137]) ).
cnf(refute_13_139,plain,
op(e0,e3) = e3,
inference(resolve,[$cnf( $equal(op(unit,e3),e3) )],[refute_13_132,refute_13_138]) ).
cnf(refute_13_140,plain,
op(e2,e3) != op(e3,e3),
inference(canonicalize,[],[normalize_13_25]) ).
cnf(refute_13_141,plain,
( op(e2,e3) = e0
| op(e2,e3) = e1
| op(e2,e3) = e2
| op(e2,e3) = e3
| op(e2,e3) = e4 ),
inference(canonicalize,[],[normalize_13_27]) ).
cnf(refute_13_142,plain,
op(e2,e2) != op(e2,e3),
inference(canonicalize,[],[normalize_13_28]) ).
cnf(refute_13_143,plain,
( e3 != op(e2,e3)
| op(e2,e2) != e3
| op(e2,e2) = op(e2,e3) ),
introduced(tautology,[equality,[$cnf( $equal(op(e2,e2),e3) ),[1],$fot(op(e2,e3))]]) ).
cnf(refute_13_144,plain,
( e3 != op(e2,e3)
| op(e2,e2) = op(e2,e3) ),
inference(resolve,[$cnf( $equal(op(e2,e2),e3) )],[refute_13_39,refute_13_143]) ).
cnf(refute_13_145,plain,
e3 != op(e2,e3),
inference(resolve,[$cnf( $equal(op(e2,e2),op(e2,e3)) )],[refute_13_144,refute_13_142]) ).
cnf(refute_13_146,plain,
( op(e2,e3) != e3
| e3 = op(e2,e3) ),
inference(subst,[],[refute_13_4:[bind(X,$fot(op(e2,e3))),bind(Y,$fot(e3))]]) ).
cnf(refute_13_147,plain,
op(e2,e3) != e3,
inference(resolve,[$cnf( $equal(e3,op(e2,e3)) )],[refute_13_146,refute_13_145]) ).
cnf(refute_13_148,plain,
( op(e2,e3) = e0
| op(e2,e3) = e1
| op(e2,e3) = e2
| op(e2,e3) = e4 ),
inference(resolve,[$cnf( $equal(op(e2,e3),e3) )],[refute_13_141,refute_13_147]) ).
cnf(refute_13_149,plain,
( op(e2,e2) != e3
| op(e2,e3) = e0
| op(e2,e3) = e1
| op(e2,e3) = e4
| op(op(e2,e3),e2) = e3 ),
inference(resolve,[$cnf( $equal(op(e2,e3),e2) )],[refute_13_148,refute_13_83]) ).
cnf(refute_13_150,plain,
( op(e2,e2) != e3
| op(e2,e3) = e0
| op(e2,e3) = e1
| op(e2,e3) = e4 ),
inference(resolve,[$cnf( $equal(op(op(e2,e3),e2),e3) )],[refute_13_149,refute_13_77]) ).
cnf(refute_13_151,plain,
( e3 != e3
| op(e2,e3) = e0
| op(e2,e3) = e1
| op(e2,e3) = e4 ),
inference(resolve,[$cnf( $equal(op(e2,e2),e3) )],[refute_13_87,refute_13_150]) ).
cnf(refute_13_152,plain,
( op(e2,e3) = e0
| op(e2,e3) = e1
| op(e2,e3) = e4 ),
inference(resolve,[$cnf( $equal(e3,e3) )],[refute_13_89,refute_13_151]) ).
cnf(refute_13_153,plain,
( op(e2,e3) != e4
| op(op(e2,e3),e3) != e2
| op(e4,e3) = e2 ),
introduced(tautology,[equality,[$cnf( $equal(op(op(e2,e3),e3),e2) ),[0,0],$fot(e4)]]) ).
cnf(refute_13_154,plain,
( op(op(e2,e3),e3) != e2
| op(e2,e3) = e0
| op(e2,e3) = e1
| op(e4,e3) = e2 ),
inference(resolve,[$cnf( $equal(op(e2,e3),e4) )],[refute_13_152,refute_13_153]) ).
cnf(refute_13_155,plain,
( op(e2,e3) = e0
| op(e2,e3) = e1
| op(e4,e3) = e2 ),
inference(resolve,[$cnf( $equal(op(op(e2,e3),e3),e2) )],[refute_13_131,refute_13_154]) ).
cnf(refute_13_156,plain,
op(e4,e3) != op(e4,e4),
inference(canonicalize,[],[normalize_13_29]) ).
cnf(refute_13_157,plain,
( op(e4,e3) != e2
| op(e4,e4) != e2
| op(e4,e3) = op(e4,e4) ),
introduced(tautology,[equality,[$cnf( ~ $equal(op(e4,e3),op(e4,e4)) ),[1],$fot(e2)]]) ).
cnf(refute_13_158,plain,
( op(e4,e3) != e2
| op(e4,e3) = op(e4,e4) ),
inference(resolve,[$cnf( $equal(op(e4,e4),e2) )],[refute_13_58,refute_13_157]) ).
cnf(refute_13_159,plain,
op(e4,e3) != e2,
inference(resolve,[$cnf( $equal(op(e4,e3),op(e4,e4)) )],[refute_13_158,refute_13_156]) ).
cnf(refute_13_160,plain,
( op(e2,e3) = e0
| op(e2,e3) = e1 ),
inference(resolve,[$cnf( $equal(op(e4,e3),e2) )],[refute_13_155,refute_13_159]) ).
cnf(refute_13_161,plain,
( e1 != op(e3,e3)
| op(e2,e3) != e1
| op(e2,e3) = op(e3,e3) ),
introduced(tautology,[equality,[$cnf( $equal(op(e2,e3),e1) ),[1],$fot(op(e3,e3))]]) ).
cnf(refute_13_162,plain,
( e1 != op(e3,e3)
| op(e2,e3) = e0
| op(e2,e3) = op(e3,e3) ),
inference(resolve,[$cnf( $equal(op(e2,e3),e1) )],[refute_13_160,refute_13_161]) ).
cnf(refute_13_163,plain,
( e1 != op(e3,e3)
| op(e2,e3) = e0 ),
inference(resolve,[$cnf( $equal(op(e2,e3),op(e3,e3)) )],[refute_13_162,refute_13_140]) ).
cnf(refute_13_164,plain,
( e1 != e1
| op(e3,e3) != e1
| e1 = op(e3,e3) ),
introduced(tautology,[equality,[$cnf( ~ $equal(e1,op(e3,e3)) ),[1],$fot(e1)]]) ).
cnf(refute_13_165,plain,
( e1 != e1
| e1 = op(e3,e3) ),
inference(resolve,[$cnf( $equal(op(e3,e3),e1) )],[refute_13_130,refute_13_164]) ).
cnf(refute_13_166,plain,
( e1 != e1
| op(e2,e3) = e0 ),
inference(resolve,[$cnf( $equal(e1,op(e3,e3)) )],[refute_13_165,refute_13_163]) ).
cnf(refute_13_167,plain,
e1 = e1,
introduced(tautology,[refl,[$fot(e1)]]) ).
cnf(refute_13_168,plain,
op(e2,e3) = e0,
inference(resolve,[$cnf( $equal(e1,e1) )],[refute_13_167,refute_13_166]) ).
cnf(refute_13_169,plain,
op(op(e2,e3),e3) = op(op(e2,e3),e3),
introduced(tautology,[refl,[$fot(op(op(e2,e3),e3))]]) ).
cnf(refute_13_170,plain,
( op(e2,e3) != e0
| op(op(e2,e3),e3) != op(op(e2,e3),e3)
| op(op(e2,e3),e3) = op(e0,e3) ),
introduced(tautology,[equality,[$cnf( $equal(op(op(e2,e3),e3),op(op(e2,e3),e3)) ),[1,0],$fot(e0)]]) ).
cnf(refute_13_171,plain,
( op(e2,e3) != e0
| op(op(e2,e3),e3) = op(e0,e3) ),
inference(resolve,[$cnf( $equal(op(op(e2,e3),e3),op(op(e2,e3),e3)) )],[refute_13_169,refute_13_170]) ).
cnf(refute_13_172,plain,
op(op(e2,e3),e3) = op(e0,e3),
inference(resolve,[$cnf( $equal(op(e2,e3),e0) )],[refute_13_168,refute_13_171]) ).
cnf(refute_13_173,plain,
( op(e0,e3) != e3
| op(op(e2,e3),e3) != op(e0,e3)
| op(op(e2,e3),e3) = e3 ),
inference(subst,[],[refute_13_31:[bind(X,$fot(op(op(e2,e3),e3))),bind(Y,$fot(op(e0,e3))),bind(Z,$fot(e3))]]) ).
cnf(refute_13_174,plain,
( op(e0,e3) != e3
| op(op(e2,e3),e3) = e3 ),
inference(resolve,[$cnf( $equal(op(op(e2,e3),e3),op(e0,e3)) )],[refute_13_172,refute_13_173]) ).
cnf(refute_13_175,plain,
op(op(e2,e3),e3) = e3,
inference(resolve,[$cnf( $equal(op(e0,e3),e3) )],[refute_13_139,refute_13_174]) ).
cnf(refute_13_176,plain,
( op(op(e2,e3),e3) != e2
| op(op(e2,e3),e3) != e3
| e3 = e2 ),
introduced(tautology,[equality,[$cnf( $equal(op(op(e2,e3),e3),e2) ),[0],$fot(e3)]]) ).
cnf(refute_13_177,plain,
( op(op(e2,e3),e3) != e2
| e3 = e2 ),
inference(resolve,[$cnf( $equal(op(op(e2,e3),e3),e3) )],[refute_13_175,refute_13_176]) ).
cnf(refute_13_178,plain,
e3 = e2,
inference(resolve,[$cnf( $equal(op(op(e2,e3),e3),e2) )],[refute_13_131,refute_13_177]) ).
cnf(refute_13_179,plain,
( e3 != e2
| e3 != op(e2,e2)
| e2 = op(e2,e2) ),
introduced(tautology,[equality,[$cnf( $equal(e3,op(e2,e2)) ),[0],$fot(e2)]]) ).
cnf(refute_13_180,plain,
( e3 != op(e2,e2)
| e2 = op(e2,e2) ),
inference(resolve,[$cnf( $equal(e3,e2) )],[refute_13_178,refute_13_179]) ).
cnf(refute_13_181,plain,
e2 = op(e2,e2),
inference(resolve,[$cnf( $equal(e3,op(e2,e2)) )],[refute_13_37,refute_13_180]) ).
cnf(refute_13_182,plain,
( e2 != op(e2,e2)
| op(e2,e2) = e2 ),
inference(subst,[],[refute_13_4:[bind(X,$fot(e2)),bind(Y,$fot(op(e2,e2)))]]) ).
cnf(refute_13_183,plain,
op(e2,e2) = e2,
inference(resolve,[$cnf( $equal(e2,op(e2,e2)) )],[refute_13_181,refute_13_182]) ).
cnf(refute_13_184,plain,
op(e2,e3) = op(e2,e3),
introduced(tautology,[refl,[$fot(op(e2,e3))]]) ).
cnf(refute_13_185,plain,
( e3 != e2
| op(e2,e3) != op(e2,e3)
| op(e2,e3) = op(e2,e2) ),
introduced(tautology,[equality,[$cnf( $equal(op(e2,e3),op(e2,e3)) ),[1,1],$fot(e2)]]) ).
cnf(refute_13_186,plain,
( e3 != e2
| op(e2,e3) = op(e2,e2) ),
inference(resolve,[$cnf( $equal(op(e2,e3),op(e2,e3)) )],[refute_13_184,refute_13_185]) ).
cnf(refute_13_187,plain,
op(e2,e3) = op(e2,e2),
inference(resolve,[$cnf( $equal(e3,e2) )],[refute_13_178,refute_13_186]) ).
cnf(refute_13_188,plain,
op(e3,e3) = op(e3,e3),
introduced(tautology,[refl,[$fot(op(e3,e3))]]) ).
cnf(refute_13_189,plain,
( e3 != e2
| op(e3,e3) != op(e3,e3)
| op(e3,e3) = op(e2,e3) ),
introduced(tautology,[equality,[$cnf( $equal(op(e3,e3),op(e3,e3)) ),[1,0],$fot(e2)]]) ).
cnf(refute_13_190,plain,
( e3 != e2
| op(e3,e3) = op(e2,e3) ),
inference(resolve,[$cnf( $equal(op(e3,e3),op(e3,e3)) )],[refute_13_188,refute_13_189]) ).
cnf(refute_13_191,plain,
op(e3,e3) = op(e2,e3),
inference(resolve,[$cnf( $equal(e3,e2) )],[refute_13_178,refute_13_190]) ).
cnf(refute_13_192,plain,
( op(e2,e3) != op(e2,e2)
| op(e3,e3) != op(e2,e3)
| op(e3,e3) = op(e2,e2) ),
inference(subst,[],[refute_13_31:[bind(X,$fot(op(e3,e3))),bind(Y,$fot(op(e2,e3))),bind(Z,$fot(op(e2,e2)))]]) ).
cnf(refute_13_193,plain,
( op(e2,e3) != op(e2,e2)
| op(e3,e3) = op(e2,e2) ),
inference(resolve,[$cnf( $equal(op(e3,e3),op(e2,e3)) )],[refute_13_191,refute_13_192]) ).
cnf(refute_13_194,plain,
op(e3,e3) = op(e2,e2),
inference(resolve,[$cnf( $equal(op(e2,e3),op(e2,e2)) )],[refute_13_187,refute_13_193]) ).
cnf(refute_13_195,plain,
( op(e2,e2) != e2
| op(e3,e3) != op(e2,e2)
| op(e3,e3) = e2 ),
inference(subst,[],[refute_13_31:[bind(X,$fot(op(e3,e3))),bind(Y,$fot(op(e2,e2))),bind(Z,$fot(e2))]]) ).
cnf(refute_13_196,plain,
( op(e2,e2) != e2
| op(e3,e3) = e2 ),
inference(resolve,[$cnf( $equal(op(e3,e3),op(e2,e2)) )],[refute_13_194,refute_13_195]) ).
cnf(refute_13_197,plain,
op(e3,e3) = e2,
inference(resolve,[$cnf( $equal(op(e2,e2),e2) )],[refute_13_183,refute_13_196]) ).
cnf(refute_13_198,plain,
( op(e3,e3) != e1
| op(e3,e3) != e2
| e2 = e1 ),
introduced(tautology,[equality,[$cnf( $equal(op(e3,e3),e1) ),[0],$fot(e2)]]) ).
cnf(refute_13_199,plain,
( op(e3,e3) != e1
| e2 = e1 ),
inference(resolve,[$cnf( $equal(op(e3,e3),e2) )],[refute_13_197,refute_13_198]) ).
cnf(refute_13_200,plain,
e2 = e1,
inference(resolve,[$cnf( $equal(op(e3,e3),e1) )],[refute_13_130,refute_13_199]) ).
cnf(refute_13_201,plain,
op(e1,e2) = op(e1,e2),
introduced(tautology,[refl,[$fot(op(e1,e2))]]) ).
cnf(refute_13_202,plain,
( e2 != e1
| op(e1,e2) != op(e1,e2)
| op(e1,e2) = op(e1,e1) ),
introduced(tautology,[equality,[$cnf( $equal(op(e1,e2),op(e1,e2)) ),[1,1],$fot(e1)]]) ).
cnf(refute_13_203,plain,
( e2 != e1
| op(e1,e2) = op(e1,e1) ),
inference(resolve,[$cnf( $equal(op(e1,e2),op(e1,e2)) )],[refute_13_201,refute_13_202]) ).
cnf(refute_13_204,plain,
op(e1,e2) = op(e1,e1),
inference(resolve,[$cnf( $equal(e2,e1) )],[refute_13_200,refute_13_203]) ).
cnf(refute_13_205,plain,
( op(e1,e1) != e4
| op(e1,e2) != op(e1,e1)
| op(e1,e2) = e4 ),
inference(subst,[],[refute_13_31:[bind(X,$fot(op(e1,e2))),bind(Y,$fot(op(e1,e1))),bind(Z,$fot(e4))]]) ).
cnf(refute_13_206,plain,
( op(e1,e1) != e4
| op(e1,e2) = e4 ),
inference(resolve,[$cnf( $equal(op(e1,e2),op(e1,e1)) )],[refute_13_204,refute_13_205]) ).
cnf(refute_13_207,plain,
op(e1,e2) = e4,
inference(resolve,[$cnf( $equal(op(e1,e1),e4) )],[refute_13_16,refute_13_206]) ).
cnf(refute_13_208,plain,
( e0 != op(e1,e2)
| op(e1,e2) != e4
| e0 = e4 ),
introduced(tautology,[equality,[$cnf( ~ $equal(e0,e4) ),[0],$fot(op(e1,e2))]]) ).
cnf(refute_13_209,plain,
( e0 != op(e1,e2)
| e0 = e4 ),
inference(resolve,[$cnf( $equal(op(e1,e2),e4) )],[refute_13_207,refute_13_208]) ).
cnf(refute_13_210,plain,
e0 = e4,
inference(resolve,[$cnf( $equal(e0,op(e1,e2)) )],[refute_13_13,refute_13_209]) ).
cnf(refute_13_211,plain,
op(e1,e1) != op(e1,e2),
inference(canonicalize,[],[normalize_13_30]) ).
cnf(refute_13_212,plain,
( e4 != op(e1,e2)
| op(e1,e1) != e4
| op(e1,e1) = op(e1,e2) ),
introduced(tautology,[equality,[$cnf( $equal(op(e1,e1),e4) ),[1],$fot(op(e1,e2))]]) ).
cnf(refute_13_213,plain,
( e4 != op(e1,e2)
| op(e1,e1) = op(e1,e2) ),
inference(resolve,[$cnf( $equal(op(e1,e1),e4) )],[refute_13_16,refute_13_212]) ).
cnf(refute_13_214,plain,
e4 != op(e1,e2),
inference(resolve,[$cnf( $equal(op(e1,e1),op(e1,e2)) )],[refute_13_213,refute_13_211]) ).
cnf(refute_13_215,plain,
( e0 != op(e1,e2)
| op(e1,e2) = e0 ),
inference(subst,[],[refute_13_4:[bind(X,$fot(e0)),bind(Y,$fot(op(e1,e2)))]]) ).
cnf(refute_13_216,plain,
op(e1,e2) = e0,
inference(resolve,[$cnf( $equal(e0,op(e1,e2)) )],[refute_13_13,refute_13_215]) ).
cnf(refute_13_217,plain,
( e4 != e0
| op(e1,e2) != e0
| e4 = op(e1,e2) ),
introduced(tautology,[equality,[$cnf( ~ $equal(e4,op(e1,e2)) ),[1],$fot(e0)]]) ).
cnf(refute_13_218,plain,
( e4 != e0
| e4 = op(e1,e2) ),
inference(resolve,[$cnf( $equal(op(e1,e2),e0) )],[refute_13_216,refute_13_217]) ).
cnf(refute_13_219,plain,
e4 != e0,
inference(resolve,[$cnf( $equal(e4,op(e1,e2)) )],[refute_13_218,refute_13_214]) ).
cnf(refute_13_220,plain,
( e0 != e4
| e4 = e0 ),
inference(subst,[],[refute_13_4:[bind(X,$fot(e0)),bind(Y,$fot(e4))]]) ).
cnf(refute_13_221,plain,
e0 != e4,
inference(resolve,[$cnf( $equal(e4,e0) )],[refute_13_220,refute_13_219]) ).
cnf(refute_13_222,plain,
$false,
inference(resolve,[$cnf( $equal(e0,e4) )],[refute_13_210,refute_13_221]) ).
fof(negate_14_0,plain,
~ ( ( ( op(e0,e0) = e0
| op(e1,e1) = e0
| op(e2,e2) = e0
| op(e3,e3) = e0
| op(e4,e4) = e0 )
& ( op(e0,e0) = e1
| op(e1,e1) = e1
| op(e2,e2) = e1
| op(e3,e3) = e1
| op(e4,e4) = e1 )
& ( op(e0,e0) = e2
| op(e1,e1) = e2
| op(e2,e2) = e2
| op(e3,e3) = e2
| op(e4,e4) = e2 )
& ( op(e0,e0) = e3
| op(e1,e1) = e3
| op(e2,e2) = e3
| op(e3,e3) = e3
| op(e4,e4) = e3 )
& ( op(e0,e0) = e4
| op(e1,e1) = e4
| op(e2,e2) = e4
| op(e3,e3) = e4
| op(e4,e4) = e4 )
& ~ ( op(e0,e0) != op(e0,e0)
& op(op(e0,e0),e0) = e0
& op(op(e0,e0),e0) != e0 )
& ~ ( op(e1,e0) != op(e0,e1)
& op(op(e0,e1),e1) = e0
& op(op(e0,e1),e0) != e1 )
& ~ ( op(e2,e0) != op(e0,e2)
& op(op(e0,e2),e2) = e0
& op(op(e0,e2),e0) != e2 )
& ~ ( op(e3,e0) != op(e0,e3)
& op(op(e0,e3),e3) = e0
& op(op(e0,e3),e0) != e3 )
& ~ ( op(e4,e0) != op(e0,e4)
& op(op(e0,e4),e4) = e0
& op(op(e0,e4),e0) != e4 )
& ~ ( op(e0,e1) != op(e1,e0)
& op(op(e1,e0),e0) = e1
& op(op(e1,e0),e1) != e0 )
& ~ ( op(e1,e1) != op(e1,e1)
& op(op(e1,e1),e1) = e1
& op(op(e1,e1),e1) != e1 )
& ~ ( op(e2,e1) != op(e1,e2)
& op(op(e1,e2),e2) = e1
& op(op(e1,e2),e1) != e2 )
& ~ ( op(e3,e1) != op(e1,e3)
& op(op(e1,e3),e3) = e1
& op(op(e1,e3),e1) != e3 )
& ~ ( op(e4,e1) != op(e1,e4)
& op(op(e1,e4),e4) = e1
& op(op(e1,e4),e1) != e4 )
& ~ ( op(e0,e2) != op(e2,e0)
& op(op(e2,e0),e0) = e2
& op(op(e2,e0),e2) != e0 )
& ~ ( op(e1,e2) != op(e2,e1)
& op(op(e2,e1),e1) = e2
& op(op(e2,e1),e2) != e1 )
& ~ ( op(e2,e2) != op(e2,e2)
& op(op(e2,e2),e2) = e2
& op(op(e2,e2),e2) != e2 )
& ~ ( op(e3,e2) != op(e2,e3)
& op(op(e2,e3),e3) = e2
& op(op(e2,e3),e2) != e3 )
& op(e4,e2) != op(e2,e4)
& op(op(e2,e4),e4) = e2 )
=> op(op(e2,e4),e2) = e4 ),
inference(negate,[],[subgoal_14]) ).
fof(normalize_14_0,plain,
( op(e4,e2) != op(e2,e4)
& op(op(e2,e4),e2) != e4
& op(op(e2,e4),e4) = e2
& ( op(op(e0,e1),e1) != e0
| op(e1,e0) = op(e0,e1)
| op(op(e0,e1),e0) = e1 )
& ( op(op(e0,e2),e2) != e0
| op(e2,e0) = op(e0,e2)
| op(op(e0,e2),e0) = e2 )
& ( op(op(e0,e3),e3) != e0
| op(e3,e0) = op(e0,e3)
| op(op(e0,e3),e0) = e3 )
& ( op(op(e0,e4),e4) != e0
| op(e4,e0) = op(e0,e4)
| op(op(e0,e4),e0) = e4 )
& ( op(op(e1,e0),e0) != e1
| op(e0,e1) = op(e1,e0)
| op(op(e1,e0),e1) = e0 )
& ( op(op(e1,e2),e2) != e1
| op(e2,e1) = op(e1,e2)
| op(op(e1,e2),e1) = e2 )
& ( op(op(e1,e3),e3) != e1
| op(e3,e1) = op(e1,e3)
| op(op(e1,e3),e1) = e3 )
& ( op(op(e1,e4),e4) != e1
| op(e4,e1) = op(e1,e4)
| op(op(e1,e4),e1) = e4 )
& ( op(op(e2,e0),e0) != e2
| op(e0,e2) = op(e2,e0)
| op(op(e2,e0),e2) = e0 )
& ( op(op(e2,e1),e1) != e2
| op(e1,e2) = op(e2,e1)
| op(op(e2,e1),e2) = e1 )
& ( op(op(e2,e3),e3) != e2
| op(e3,e2) = op(e2,e3)
| op(op(e2,e3),e2) = e3 )
& ( op(e0,e0) = e0
| op(e1,e1) = e0
| op(e2,e2) = e0
| op(e3,e3) = e0
| op(e4,e4) = e0 )
& ( op(e0,e0) = e1
| op(e1,e1) = e1
| op(e2,e2) = e1
| op(e3,e3) = e1
| op(e4,e4) = e1 )
& ( op(e0,e0) = e2
| op(e1,e1) = e2
| op(e2,e2) = e2
| op(e3,e3) = e2
| op(e4,e4) = e2 )
& ( op(e0,e0) = e3
| op(e1,e1) = e3
| op(e2,e2) = e3
| op(e3,e3) = e3
| op(e4,e4) = e3 )
& ( op(e0,e0) = e4
| op(e1,e1) = e4
| op(e2,e2) = e4
| op(e3,e3) = e4
| op(e4,e4) = e4 ) ),
inference(canonicalize,[],[negate_14_0]) ).
fof(normalize_14_1,plain,
op(op(e2,e4),e4) = e2,
inference(conjunct,[],[normalize_14_0]) ).
fof(normalize_14_2,plain,
( ( op(e0,e0) = e0
| op(e0,e1) = e0
| op(e0,e2) = e0
| op(e0,e3) = e0
| op(e0,e4) = e0 )
& ( op(e0,e0) = e0
| op(e1,e0) = e0
| op(e2,e0) = e0
| op(e3,e0) = e0
| op(e4,e0) = e0 )
& ( op(e0,e0) = e1
| op(e0,e1) = e1
| op(e0,e2) = e1
| op(e0,e3) = e1
| op(e0,e4) = e1 )
& ( op(e0,e0) = e1
| op(e1,e0) = e1
| op(e2,e0) = e1
| op(e3,e0) = e1
| op(e4,e0) = e1 )
& ( op(e0,e0) = e2
| op(e0,e1) = e2
| op(e0,e2) = e2
| op(e0,e3) = e2
| op(e0,e4) = e2 )
& ( op(e0,e0) = e2
| op(e1,e0) = e2
| op(e2,e0) = e2
| op(e3,e0) = e2
| op(e4,e0) = e2 )
& ( op(e0,e0) = e3
| op(e0,e1) = e3
| op(e0,e2) = e3
| op(e0,e3) = e3
| op(e0,e4) = e3 )
& ( op(e0,e0) = e3
| op(e1,e0) = e3
| op(e2,e0) = e3
| op(e3,e0) = e3
| op(e4,e0) = e3 )
& ( op(e0,e0) = e4
| op(e0,e1) = e4
| op(e0,e2) = e4
| op(e0,e3) = e4
| op(e0,e4) = e4 )
& ( op(e0,e0) = e4
| op(e1,e0) = e4
| op(e2,e0) = e4
| op(e3,e0) = e4
| op(e4,e0) = e4 )
& ( op(e0,e1) = e0
| op(e1,e1) = e0
| op(e2,e1) = e0
| op(e3,e1) = e0
| op(e4,e1) = e0 )
& ( op(e0,e1) = e1
| op(e1,e1) = e1
| op(e2,e1) = e1
| op(e3,e1) = e1
| op(e4,e1) = e1 )
& ( op(e0,e1) = e2
| op(e1,e1) = e2
| op(e2,e1) = e2
| op(e3,e1) = e2
| op(e4,e1) = e2 )
& ( op(e0,e1) = e3
| op(e1,e1) = e3
| op(e2,e1) = e3
| op(e3,e1) = e3
| op(e4,e1) = e3 )
& ( op(e0,e1) = e4
| op(e1,e1) = e4
| op(e2,e1) = e4
| op(e3,e1) = e4
| op(e4,e1) = e4 )
& ( op(e0,e2) = e0
| op(e1,e2) = e0
| op(e2,e2) = e0
| op(e3,e2) = e0
| op(e4,e2) = e0 )
& ( op(e0,e2) = e1
| op(e1,e2) = e1
| op(e2,e2) = e1
| op(e3,e2) = e1
| op(e4,e2) = e1 )
& ( op(e0,e2) = e2
| op(e1,e2) = e2
| op(e2,e2) = e2
| op(e3,e2) = e2
| op(e4,e2) = e2 )
& ( op(e0,e2) = e3
| op(e1,e2) = e3
| op(e2,e2) = e3
| op(e3,e2) = e3
| op(e4,e2) = e3 )
& ( op(e0,e2) = e4
| op(e1,e2) = e4
| op(e2,e2) = e4
| op(e3,e2) = e4
| op(e4,e2) = e4 )
& ( op(e0,e3) = e0
| op(e1,e3) = e0
| op(e2,e3) = e0
| op(e3,e3) = e0
| op(e4,e3) = e0 )
& ( op(e0,e3) = e1
| op(e1,e3) = e1
| op(e2,e3) = e1
| op(e3,e3) = e1
| op(e4,e3) = e1 )
& ( op(e0,e3) = e2
| op(e1,e3) = e2
| op(e2,e3) = e2
| op(e3,e3) = e2
| op(e4,e3) = e2 )
& ( op(e0,e3) = e3
| op(e1,e3) = e3
| op(e2,e3) = e3
| op(e3,e3) = e3
| op(e4,e3) = e3 )
& ( op(e0,e3) = e4
| op(e1,e3) = e4
| op(e2,e3) = e4
| op(e3,e3) = e4
| op(e4,e3) = e4 )
& ( op(e0,e4) = e0
| op(e1,e4) = e0
| op(e2,e4) = e0
| op(e3,e4) = e0
| op(e4,e4) = e0 )
& ( op(e0,e4) = e1
| op(e1,e4) = e1
| op(e2,e4) = e1
| op(e3,e4) = e1
| op(e4,e4) = e1 )
& ( op(e0,e4) = e2
| op(e1,e4) = e2
| op(e2,e4) = e2
| op(e3,e4) = e2
| op(e4,e4) = e2 )
& ( op(e0,e4) = e3
| op(e1,e4) = e3
| op(e2,e4) = e3
| op(e3,e4) = e3
| op(e4,e4) = e3 )
& ( op(e0,e4) = e4
| op(e1,e4) = e4
| op(e2,e4) = e4
| op(e3,e4) = e4
| op(e4,e4) = e4 )
& ( op(e1,e0) = e0
| op(e1,e1) = e0
| op(e1,e2) = e0
| op(e1,e3) = e0
| op(e1,e4) = e0 )
& ( op(e1,e0) = e1
| op(e1,e1) = e1
| op(e1,e2) = e1
| op(e1,e3) = e1
| op(e1,e4) = e1 )
& ( op(e1,e0) = e2
| op(e1,e1) = e2
| op(e1,e2) = e2
| op(e1,e3) = e2
| op(e1,e4) = e2 )
& ( op(e1,e0) = e3
| op(e1,e1) = e3
| op(e1,e2) = e3
| op(e1,e3) = e3
| op(e1,e4) = e3 )
& ( op(e1,e0) = e4
| op(e1,e1) = e4
| op(e1,e2) = e4
| op(e1,e3) = e4
| op(e1,e4) = e4 )
& ( op(e2,e0) = e0
| op(e2,e1) = e0
| op(e2,e2) = e0
| op(e2,e3) = e0
| op(e2,e4) = e0 )
& ( op(e2,e0) = e1
| op(e2,e1) = e1
| op(e2,e2) = e1
| op(e2,e3) = e1
| op(e2,e4) = e1 )
& ( op(e2,e0) = e2
| op(e2,e1) = e2
| op(e2,e2) = e2
| op(e2,e3) = e2
| op(e2,e4) = e2 )
& ( op(e2,e0) = e3
| op(e2,e1) = e3
| op(e2,e2) = e3
| op(e2,e3) = e3
| op(e2,e4) = e3 )
& ( op(e2,e0) = e4
| op(e2,e1) = e4
| op(e2,e2) = e4
| op(e2,e3) = e4
| op(e2,e4) = e4 )
& ( op(e3,e0) = e0
| op(e3,e1) = e0
| op(e3,e2) = e0
| op(e3,e3) = e0
| op(e3,e4) = e0 )
& ( op(e3,e0) = e1
| op(e3,e1) = e1
| op(e3,e2) = e1
| op(e3,e3) = e1
| op(e3,e4) = e1 )
& ( op(e3,e0) = e2
| op(e3,e1) = e2
| op(e3,e2) = e2
| op(e3,e3) = e2
| op(e3,e4) = e2 )
& ( op(e3,e0) = e3
| op(e3,e1) = e3
| op(e3,e2) = e3
| op(e3,e3) = e3
| op(e3,e4) = e3 )
& ( op(e3,e0) = e4
| op(e3,e1) = e4
| op(e3,e2) = e4
| op(e3,e3) = e4
| op(e3,e4) = e4 )
& ( op(e4,e0) = e0
| op(e4,e1) = e0
| op(e4,e2) = e0
| op(e4,e3) = e0
| op(e4,e4) = e0 )
& ( op(e4,e0) = e1
| op(e4,e1) = e1
| op(e4,e2) = e1
| op(e4,e3) = e1
| op(e4,e4) = e1 )
& ( op(e4,e0) = e2
| op(e4,e1) = e2
| op(e4,e2) = e2
| op(e4,e3) = e2
| op(e4,e4) = e2 )
& ( op(e4,e0) = e3
| op(e4,e1) = e3
| op(e4,e2) = e3
| op(e4,e3) = e3
| op(e4,e4) = e3 )
& ( op(e4,e0) = e4
| op(e4,e1) = e4
| op(e4,e2) = e4
| op(e4,e3) = e4
| op(e4,e4) = e4 ) ),
inference(canonicalize,[],[ax3]) ).
fof(normalize_14_3,plain,
( op(e2,e0) = e1
| op(e2,e1) = e1
| op(e2,e2) = e1
| op(e2,e3) = e1
| op(e2,e4) = e1 ),
inference(conjunct,[],[normalize_14_2]) ).
fof(normalize_14_4,plain,
( e0 = op(e1,op(op(e1,e1),op(e1,e1)))
& e2 = op(op(e1,e1),op(e1,e1))
& e3 = op(op(op(e1,e1),op(e1,e1)),op(op(e1,e1),op(e1,e1)))
& e4 = op(e1,e1) ),
inference(canonicalize,[],[ax6]) ).
fof(normalize_14_5,plain,
e3 = op(op(op(e1,e1),op(e1,e1)),op(op(e1,e1),op(e1,e1))),
inference(conjunct,[],[normalize_14_4]) ).
fof(normalize_14_6,plain,
e2 = op(op(e1,e1),op(e1,e1)),
inference(conjunct,[],[normalize_14_4]) ).
fof(normalize_14_7,plain,
( e0 != e1
& e0 != e2
& e0 != e3
& e0 != e4
& e1 != e2
& e1 != e3
& e1 != e4
& e2 != e3
& e2 != e4
& e3 != e4 ),
inference(canonicalize,[],[ax5]) ).
fof(normalize_14_8,plain,
e1 != e3,
inference(conjunct,[],[normalize_14_7]) ).
fof(normalize_14_9,plain,
( op(e0,e0) != op(e0,e1)
& op(e0,e0) != op(e0,e2)
& op(e0,e0) != op(e0,e3)
& op(e0,e0) != op(e0,e4)
& op(e0,e0) != op(e1,e0)
& op(e0,e0) != op(e2,e0)
& op(e0,e0) != op(e3,e0)
& op(e0,e0) != op(e4,e0)
& op(e0,e1) != op(e0,e2)
& op(e0,e1) != op(e0,e3)
& op(e0,e1) != op(e0,e4)
& op(e0,e1) != op(e1,e1)
& op(e0,e1) != op(e2,e1)
& op(e0,e1) != op(e3,e1)
& op(e0,e1) != op(e4,e1)
& op(e0,e2) != op(e0,e3)
& op(e0,e2) != op(e0,e4)
& op(e0,e2) != op(e1,e2)
& op(e0,e2) != op(e2,e2)
& op(e0,e2) != op(e3,e2)
& op(e0,e2) != op(e4,e2)
& op(e0,e3) != op(e0,e4)
& op(e0,e3) != op(e1,e3)
& op(e0,e3) != op(e2,e3)
& op(e0,e3) != op(e3,e3)
& op(e0,e3) != op(e4,e3)
& op(e0,e4) != op(e1,e4)
& op(e0,e4) != op(e2,e4)
& op(e0,e4) != op(e3,e4)
& op(e0,e4) != op(e4,e4)
& op(e1,e0) != op(e1,e1)
& op(e1,e0) != op(e1,e2)
& op(e1,e0) != op(e1,e3)
& op(e1,e0) != op(e1,e4)
& op(e1,e0) != op(e2,e0)
& op(e1,e0) != op(e3,e0)
& op(e1,e0) != op(e4,e0)
& op(e1,e1) != op(e1,e2)
& op(e1,e1) != op(e1,e3)
& op(e1,e1) != op(e1,e4)
& op(e1,e1) != op(e2,e1)
& op(e1,e1) != op(e3,e1)
& op(e1,e1) != op(e4,e1)
& op(e1,e2) != op(e1,e3)
& op(e1,e2) != op(e1,e4)
& op(e1,e2) != op(e2,e2)
& op(e1,e2) != op(e3,e2)
& op(e1,e2) != op(e4,e2)
& op(e1,e3) != op(e1,e4)
& op(e1,e3) != op(e2,e3)
& op(e1,e3) != op(e3,e3)
& op(e1,e3) != op(e4,e3)
& op(e1,e4) != op(e2,e4)
& op(e1,e4) != op(e3,e4)
& op(e1,e4) != op(e4,e4)
& op(e2,e0) != op(e2,e1)
& op(e2,e0) != op(e2,e2)
& op(e2,e0) != op(e2,e3)
& op(e2,e0) != op(e2,e4)
& op(e2,e0) != op(e3,e0)
& op(e2,e0) != op(e4,e0)
& op(e2,e1) != op(e2,e2)
& op(e2,e1) != op(e2,e3)
& op(e2,e1) != op(e2,e4)
& op(e2,e1) != op(e3,e1)
& op(e2,e1) != op(e4,e1)
& op(e2,e2) != op(e2,e3)
& op(e2,e2) != op(e2,e4)
& op(e2,e2) != op(e3,e2)
& op(e2,e2) != op(e4,e2)
& op(e2,e3) != op(e2,e4)
& op(e2,e3) != op(e3,e3)
& op(e2,e3) != op(e4,e3)
& op(e2,e4) != op(e3,e4)
& op(e2,e4) != op(e4,e4)
& op(e3,e0) != op(e3,e1)
& op(e3,e0) != op(e3,e2)
& op(e3,e0) != op(e3,e3)
& op(e3,e0) != op(e3,e4)
& op(e3,e0) != op(e4,e0)
& op(e3,e1) != op(e3,e2)
& op(e3,e1) != op(e3,e3)
& op(e3,e1) != op(e3,e4)
& op(e3,e1) != op(e4,e1)
& op(e3,e2) != op(e3,e3)
& op(e3,e2) != op(e3,e4)
& op(e3,e2) != op(e4,e2)
& op(e3,e3) != op(e3,e4)
& op(e3,e3) != op(e4,e3)
& op(e3,e4) != op(e4,e4)
& op(e4,e0) != op(e4,e1)
& op(e4,e0) != op(e4,e2)
& op(e4,e0) != op(e4,e3)
& op(e4,e0) != op(e4,e4)
& op(e4,e1) != op(e4,e2)
& op(e4,e1) != op(e4,e3)
& op(e4,e1) != op(e4,e4)
& op(e4,e2) != op(e4,e3)
& op(e4,e2) != op(e4,e4)
& op(e4,e3) != op(e4,e4) ),
inference(canonicalize,[],[ax4]) ).
fof(normalize_14_10,plain,
op(e1,e4) != op(e4,e4),
inference(conjunct,[],[normalize_14_9]) ).
fof(normalize_14_11,plain,
e4 = op(e1,e1),
inference(conjunct,[],[normalize_14_4]) ).
fof(normalize_14_12,plain,
( op(e0,unit) = e0
& op(e1,unit) = e1
& op(e2,unit) = e2
& op(e3,unit) = e3
& op(e4,unit) = e4
& op(unit,e0) = e0
& op(unit,e1) = e1
& op(unit,e2) = e2
& op(unit,e3) = e3
& op(unit,e4) = e4
& ( unit = e0
| unit = e1
| unit = e2
| unit = e3
| unit = e4 ) ),
inference(canonicalize,[],[ax2]) ).
fof(normalize_14_13,plain,
op(e2,unit) = e2,
inference(conjunct,[],[normalize_14_12]) ).
fof(normalize_14_14,plain,
op(e1,e3) != op(e3,e3),
inference(conjunct,[],[normalize_14_9]) ).
fof(normalize_14_15,plain,
( op(e0,e0) = e1
| op(e1,e1) = e1
| op(e2,e2) = e1
| op(e3,e3) = e1
| op(e4,e4) = e1 ),
inference(conjunct,[],[normalize_14_0]) ).
fof(normalize_14_16,plain,
e1 != e2,
inference(conjunct,[],[normalize_14_7]) ).
fof(normalize_14_17,plain,
e1 != e4,
inference(conjunct,[],[normalize_14_7]) ).
fof(normalize_14_18,plain,
op(e1,unit) = e1,
inference(conjunct,[],[normalize_14_12]) ).
fof(normalize_14_19,plain,
op(unit,e4) = e4,
inference(conjunct,[],[normalize_14_12]) ).
fof(normalize_14_20,plain,
op(unit,e3) = e3,
inference(conjunct,[],[normalize_14_12]) ).
fof(normalize_14_21,plain,
( unit = e0
| unit = e1
| unit = e2
| unit = e3
| unit = e4 ),
inference(conjunct,[],[normalize_14_12]) ).
fof(normalize_14_22,plain,
op(e1,e1) != op(e1,e4),
inference(conjunct,[],[normalize_14_9]) ).
fof(normalize_14_23,plain,
op(e2,e2) != op(e2,e3),
inference(conjunct,[],[normalize_14_9]) ).
fof(normalize_14_24,plain,
e2 != e4,
inference(conjunct,[],[normalize_14_7]) ).
fof(normalize_14_25,plain,
op(e0,e3) != op(e3,e3),
inference(conjunct,[],[normalize_14_9]) ).
fof(normalize_14_26,plain,
( op(e0,e0) = e0
| op(e1,e1) = e0
| op(e2,e2) = e0
| op(e3,e3) = e0
| op(e4,e4) = e0 ),
inference(conjunct,[],[normalize_14_0]) ).
fof(normalize_14_27,plain,
e0 != e2,
inference(conjunct,[],[normalize_14_7]) ).
fof(normalize_14_28,plain,
e0 != e3,
inference(conjunct,[],[normalize_14_7]) ).
fof(normalize_14_29,plain,
e0 != e4,
inference(conjunct,[],[normalize_14_7]) ).
fof(normalize_14_30,plain,
op(e0,unit) = e0,
inference(conjunct,[],[normalize_14_12]) ).
fof(normalize_14_31,plain,
e0 != e1,
inference(conjunct,[],[normalize_14_7]) ).
fof(normalize_14_32,plain,
op(e0,e1) != op(e2,e1),
inference(conjunct,[],[normalize_14_9]) ).
fof(normalize_14_33,plain,
( op(op(e2,e1),e1) != e2
| op(e1,e2) = op(e2,e1)
| op(op(e2,e1),e2) = e1 ),
inference(conjunct,[],[normalize_14_0]) ).
fof(normalize_14_34,plain,
e0 = op(e1,op(op(e1,e1),op(e1,e1))),
inference(conjunct,[],[normalize_14_4]) ).
fof(normalize_14_35,plain,
( ( op(e0,e0) = e0
| op(e0,e0) = e1
| op(e0,e0) = e2
| op(e0,e0) = e3
| op(e0,e0) = e4 )
& ( op(e0,e1) = e0
| op(e0,e1) = e1
| op(e0,e1) = e2
| op(e0,e1) = e3
| op(e0,e1) = e4 )
& ( op(e0,e2) = e0
| op(e0,e2) = e1
| op(e0,e2) = e2
| op(e0,e2) = e3
| op(e0,e2) = e4 )
& ( op(e0,e3) = e0
| op(e0,e3) = e1
| op(e0,e3) = e2
| op(e0,e3) = e3
| op(e0,e3) = e4 )
& ( op(e0,e4) = e0
| op(e0,e4) = e1
| op(e0,e4) = e2
| op(e0,e4) = e3
| op(e0,e4) = e4 )
& ( op(e1,e0) = e0
| op(e1,e0) = e1
| op(e1,e0) = e2
| op(e1,e0) = e3
| op(e1,e0) = e4 )
& ( op(e1,e1) = e0
| op(e1,e1) = e1
| op(e1,e1) = e2
| op(e1,e1) = e3
| op(e1,e1) = e4 )
& ( op(e1,e2) = e0
| op(e1,e2) = e1
| op(e1,e2) = e2
| op(e1,e2) = e3
| op(e1,e2) = e4 )
& ( op(e1,e3) = e0
| op(e1,e3) = e1
| op(e1,e3) = e2
| op(e1,e3) = e3
| op(e1,e3) = e4 )
& ( op(e1,e4) = e0
| op(e1,e4) = e1
| op(e1,e4) = e2
| op(e1,e4) = e3
| op(e1,e4) = e4 )
& ( op(e2,e0) = e0
| op(e2,e0) = e1
| op(e2,e0) = e2
| op(e2,e0) = e3
| op(e2,e0) = e4 )
& ( op(e2,e1) = e0
| op(e2,e1) = e1
| op(e2,e1) = e2
| op(e2,e1) = e3
| op(e2,e1) = e4 )
& ( op(e2,e2) = e0
| op(e2,e2) = e1
| op(e2,e2) = e2
| op(e2,e2) = e3
| op(e2,e2) = e4 )
& ( op(e2,e3) = e0
| op(e2,e3) = e1
| op(e2,e3) = e2
| op(e2,e3) = e3
| op(e2,e3) = e4 )
& ( op(e2,e4) = e0
| op(e2,e4) = e1
| op(e2,e4) = e2
| op(e2,e4) = e3
| op(e2,e4) = e4 )
& ( op(e3,e0) = e0
| op(e3,e0) = e1
| op(e3,e0) = e2
| op(e3,e0) = e3
| op(e3,e0) = e4 )
& ( op(e3,e1) = e0
| op(e3,e1) = e1
| op(e3,e1) = e2
| op(e3,e1) = e3
| op(e3,e1) = e4 )
& ( op(e3,e2) = e0
| op(e3,e2) = e1
| op(e3,e2) = e2
| op(e3,e2) = e3
| op(e3,e2) = e4 )
& ( op(e3,e3) = e0
| op(e3,e3) = e1
| op(e3,e3) = e2
| op(e3,e3) = e3
| op(e3,e3) = e4 )
& ( op(e3,e4) = e0
| op(e3,e4) = e1
| op(e3,e4) = e2
| op(e3,e4) = e3
| op(e3,e4) = e4 )
& ( op(e4,e0) = e0
| op(e4,e0) = e1
| op(e4,e0) = e2
| op(e4,e0) = e3
| op(e4,e0) = e4 )
& ( op(e4,e1) = e0
| op(e4,e1) = e1
| op(e4,e1) = e2
| op(e4,e1) = e3
| op(e4,e1) = e4 )
& ( op(e4,e2) = e0
| op(e4,e2) = e1
| op(e4,e2) = e2
| op(e4,e2) = e3
| op(e4,e2) = e4 )
& ( op(e4,e3) = e0
| op(e4,e3) = e1
| op(e4,e3) = e2
| op(e4,e3) = e3
| op(e4,e3) = e4 )
& ( op(e4,e4) = e0
| op(e4,e4) = e1
| op(e4,e4) = e2
| op(e4,e4) = e3
| op(e4,e4) = e4 ) ),
inference(canonicalize,[],[ax1]) ).
fof(normalize_14_36,plain,
( op(e2,e1) = e0
| op(e2,e1) = e1
| op(e2,e1) = e2
| op(e2,e1) = e3
| op(e2,e1) = e4 ),
inference(conjunct,[],[normalize_14_35]) ).
fof(normalize_14_37,plain,
op(e2,e1) != op(e2,e2),
inference(conjunct,[],[normalize_14_9]) ).
fof(normalize_14_38,plain,
op(e1,e1) != op(e2,e1),
inference(conjunct,[],[normalize_14_9]) ).
fof(normalize_14_39,plain,
op(unit,e1) = e1,
inference(conjunct,[],[normalize_14_12]) ).
fof(normalize_14_40,plain,
( op(e2,e0) = e4
| op(e2,e1) = e4
| op(e2,e2) = e4
| op(e2,e3) = e4
| op(e2,e4) = e4 ),
inference(conjunct,[],[normalize_14_2]) ).
fof(normalize_14_41,plain,
e3 != e4,
inference(conjunct,[],[normalize_14_7]) ).
fof(normalize_14_42,plain,
op(e0,e4) != op(e2,e4),
inference(conjunct,[],[normalize_14_9]) ).
cnf(refute_14_0,plain,
op(op(e2,e4),e4) = e2,
inference(canonicalize,[],[normalize_14_1]) ).
cnf(refute_14_1,plain,
( op(e2,e0) = e1
| op(e2,e1) = e1
| op(e2,e2) = e1
| op(e2,e3) = e1
| op(e2,e4) = e1 ),
inference(canonicalize,[],[normalize_14_3]) ).
cnf(refute_14_2,plain,
e3 = op(op(op(e1,e1),op(e1,e1)),op(op(e1,e1),op(e1,e1))),
inference(canonicalize,[],[normalize_14_5]) ).
cnf(refute_14_3,plain,
e2 = op(op(e1,e1),op(e1,e1)),
inference(canonicalize,[],[normalize_14_6]) ).
cnf(refute_14_4,plain,
X = X,
introduced(tautology,[refl,[$fot(X)]]) ).
cnf(refute_14_5,plain,
( X != X
| X != Y
| Y = X ),
introduced(tautology,[equality,[$cnf( $equal(X,X) ),[0],$fot(Y)]]) ).
cnf(refute_14_6,plain,
( X != Y
| Y = X ),
inference(resolve,[$cnf( $equal(X,X) )],[refute_14_4,refute_14_5]) ).
cnf(refute_14_7,plain,
( e2 != op(op(e1,e1),op(e1,e1))
| op(op(e1,e1),op(e1,e1)) = e2 ),
inference(subst,[],[refute_14_6:[bind(X,$fot(e2)),bind(Y,$fot(op(op(e1,e1),op(e1,e1))))]]) ).
cnf(refute_14_8,plain,
op(op(e1,e1),op(e1,e1)) = e2,
inference(resolve,[$cnf( $equal(e2,op(op(e1,e1),op(e1,e1))) )],[refute_14_3,refute_14_7]) ).
cnf(refute_14_9,plain,
op(e2,op(op(e1,e1),op(e1,e1))) = op(e2,op(op(e1,e1),op(e1,e1))),
introduced(tautology,[refl,[$fot(op(e2,op(op(e1,e1),op(e1,e1))))]]) ).
cnf(refute_14_10,plain,
( op(e2,op(op(e1,e1),op(e1,e1))) != op(e2,op(op(e1,e1),op(e1,e1)))
| op(op(e1,e1),op(e1,e1)) != e2
| op(e2,op(op(e1,e1),op(e1,e1))) = op(e2,e2) ),
introduced(tautology,[equality,[$cnf( $equal(op(e2,op(op(e1,e1),op(e1,e1))),op(e2,op(op(e1,e1),op(e1,e1)))) ),[1,1],$fot(e2)]]) ).
cnf(refute_14_11,plain,
( op(op(e1,e1),op(e1,e1)) != e2
| op(e2,op(op(e1,e1),op(e1,e1))) = op(e2,e2) ),
inference(resolve,[$cnf( $equal(op(e2,op(op(e1,e1),op(e1,e1))),op(e2,op(op(e1,e1),op(e1,e1)))) )],[refute_14_9,refute_14_10]) ).
cnf(refute_14_12,plain,
op(e2,op(op(e1,e1),op(e1,e1))) = op(e2,e2),
inference(resolve,[$cnf( $equal(op(op(e1,e1),op(e1,e1)),e2) )],[refute_14_8,refute_14_11]) ).
cnf(refute_14_13,plain,
op(op(op(e1,e1),op(e1,e1)),op(op(e1,e1),op(e1,e1))) = op(op(op(e1,e1),op(e1,e1)),op(op(e1,e1),op(e1,e1))),
introduced(tautology,[refl,[$fot(op(op(op(e1,e1),op(e1,e1)),op(op(e1,e1),op(e1,e1))))]]) ).
cnf(refute_14_14,plain,
( op(op(e1,e1),op(e1,e1)) != e2
| op(op(op(e1,e1),op(e1,e1)),op(op(e1,e1),op(e1,e1))) != op(op(op(e1,e1),op(e1,e1)),op(op(e1,e1),op(e1,e1)))
| op(op(op(e1,e1),op(e1,e1)),op(op(e1,e1),op(e1,e1))) = op(e2,op(op(e1,e1),op(e1,e1))) ),
introduced(tautology,[equality,[$cnf( $equal(op(op(op(e1,e1),op(e1,e1)),op(op(e1,e1),op(e1,e1))),op(op(op(e1,e1),op(e1,e1)),op(op(e1,e1),op(e1,e1)))) ),[1,0],$fot(e2)]]) ).
cnf(refute_14_15,plain,
( op(op(e1,e1),op(e1,e1)) != e2
| op(op(op(e1,e1),op(e1,e1)),op(op(e1,e1),op(e1,e1))) = op(e2,op(op(e1,e1),op(e1,e1))) ),
inference(resolve,[$cnf( $equal(op(op(op(e1,e1),op(e1,e1)),op(op(e1,e1),op(e1,e1))),op(op(op(e1,e1),op(e1,e1)),op(op(e1,e1),op(e1,e1)))) )],[refute_14_13,refute_14_14]) ).
cnf(refute_14_16,plain,
op(op(op(e1,e1),op(e1,e1)),op(op(e1,e1),op(e1,e1))) = op(e2,op(op(e1,e1),op(e1,e1))),
inference(resolve,[$cnf( $equal(op(op(e1,e1),op(e1,e1)),e2) )],[refute_14_8,refute_14_15]) ).
cnf(refute_14_17,plain,
( Y != X
| Y != Z
| X = Z ),
introduced(tautology,[equality,[$cnf( $equal(Y,Z) ),[0],$fot(X)]]) ).
cnf(refute_14_18,plain,
( X != Y
| Y != Z
| X = Z ),
inference(resolve,[$cnf( $equal(Y,X) )],[refute_14_6,refute_14_17]) ).
cnf(refute_14_19,plain,
( op(e2,op(op(e1,e1),op(e1,e1))) != op(e2,e2)
| op(op(op(e1,e1),op(e1,e1)),op(op(e1,e1),op(e1,e1))) != op(e2,op(op(e1,e1),op(e1,e1)))
| op(op(op(e1,e1),op(e1,e1)),op(op(e1,e1),op(e1,e1))) = op(e2,e2) ),
inference(subst,[],[refute_14_18:[bind(X,$fot(op(op(op(e1,e1),op(e1,e1)),op(op(e1,e1),op(e1,e1))))),bind(Y,$fot(op(e2,op(op(e1,e1),op(e1,e1))))),bind(Z,$fot(op(e2,e2)))]]) ).
cnf(refute_14_20,plain,
( op(e2,op(op(e1,e1),op(e1,e1))) != op(e2,e2)
| op(op(op(e1,e1),op(e1,e1)),op(op(e1,e1),op(e1,e1))) = op(e2,e2) ),
inference(resolve,[$cnf( $equal(op(op(op(e1,e1),op(e1,e1)),op(op(e1,e1),op(e1,e1))),op(e2,op(op(e1,e1),op(e1,e1)))) )],[refute_14_16,refute_14_19]) ).
cnf(refute_14_21,plain,
op(op(op(e1,e1),op(e1,e1)),op(op(e1,e1),op(e1,e1))) = op(e2,e2),
inference(resolve,[$cnf( $equal(op(e2,op(op(e1,e1),op(e1,e1))),op(e2,e2)) )],[refute_14_12,refute_14_20]) ).
cnf(refute_14_22,plain,
( e3 != op(op(op(e1,e1),op(e1,e1)),op(op(e1,e1),op(e1,e1)))
| op(op(op(e1,e1),op(e1,e1)),op(op(e1,e1),op(e1,e1))) != op(e2,e2)
| e3 = op(e2,e2) ),
introduced(tautology,[equality,[$cnf( ~ $equal(e3,op(e2,e2)) ),[0],$fot(op(op(op(e1,e1),op(e1,e1)),op(op(e1,e1),op(e1,e1))))]]) ).
cnf(refute_14_23,plain,
( e3 != op(op(op(e1,e1),op(e1,e1)),op(op(e1,e1),op(e1,e1)))
| e3 = op(e2,e2) ),
inference(resolve,[$cnf( $equal(op(op(op(e1,e1),op(e1,e1)),op(op(e1,e1),op(e1,e1))),op(e2,e2)) )],[refute_14_21,refute_14_22]) ).
cnf(refute_14_24,plain,
e3 = op(e2,e2),
inference(resolve,[$cnf( $equal(e3,op(op(op(e1,e1),op(e1,e1)),op(op(e1,e1),op(e1,e1)))) )],[refute_14_2,refute_14_23]) ).
cnf(refute_14_25,plain,
( e3 != op(e2,e2)
| op(e2,e2) = e3 ),
inference(subst,[],[refute_14_6:[bind(X,$fot(e3)),bind(Y,$fot(op(e2,e2)))]]) ).
cnf(refute_14_26,plain,
op(e2,e2) = e3,
inference(resolve,[$cnf( $equal(e3,op(e2,e2)) )],[refute_14_24,refute_14_25]) ).
cnf(refute_14_27,plain,
( op(e2,e2) != e1
| op(e2,e2) != e3
| e3 = e1 ),
introduced(tautology,[equality,[$cnf( $equal(op(e2,e2),e1) ),[0],$fot(e3)]]) ).
cnf(refute_14_28,plain,
( op(e2,e2) != e1
| e3 = e1 ),
inference(resolve,[$cnf( $equal(op(e2,e2),e3) )],[refute_14_26,refute_14_27]) ).
cnf(refute_14_29,plain,
( e3 = e1
| op(e2,e0) = e1
| op(e2,e1) = e1
| op(e2,e3) = e1
| op(e2,e4) = e1 ),
inference(resolve,[$cnf( $equal(op(e2,e2),e1) )],[refute_14_1,refute_14_28]) ).
cnf(refute_14_30,plain,
e1 != e3,
inference(canonicalize,[],[normalize_14_8]) ).
cnf(refute_14_31,plain,
( e3 != e1
| e1 = e3 ),
inference(subst,[],[refute_14_6:[bind(X,$fot(e3)),bind(Y,$fot(e1))]]) ).
cnf(refute_14_32,plain,
e3 != e1,
inference(resolve,[$cnf( $equal(e1,e3) )],[refute_14_31,refute_14_30]) ).
cnf(refute_14_33,plain,
( op(e2,e0) = e1
| op(e2,e1) = e1
| op(e2,e3) = e1
| op(e2,e4) = e1 ),
inference(resolve,[$cnf( $equal(e3,e1) )],[refute_14_29,refute_14_32]) ).
cnf(refute_14_34,plain,
( op(e2,e4) != e1
| op(op(e2,e4),e4) != e2
| op(e1,e4) = e2 ),
introduced(tautology,[equality,[$cnf( $equal(op(op(e2,e4),e4),e2) ),[0,0],$fot(e1)]]) ).
cnf(refute_14_35,plain,
( op(op(e2,e4),e4) != e2
| op(e1,e4) = e2
| op(e2,e0) = e1
| op(e2,e1) = e1
| op(e2,e3) = e1 ),
inference(resolve,[$cnf( $equal(op(e2,e4),e1) )],[refute_14_33,refute_14_34]) ).
cnf(refute_14_36,plain,
( op(e1,e4) = e2
| op(e2,e0) = e1
| op(e2,e1) = e1
| op(e2,e3) = e1 ),
inference(resolve,[$cnf( $equal(op(op(e2,e4),e4),e2) )],[refute_14_0,refute_14_35]) ).
cnf(refute_14_37,plain,
op(e1,e4) != op(e4,e4),
inference(canonicalize,[],[normalize_14_10]) ).
cnf(refute_14_38,plain,
e4 = op(e1,e1),
inference(canonicalize,[],[normalize_14_11]) ).
cnf(refute_14_39,plain,
( e4 != op(e1,e1)
| op(e1,e1) = e4 ),
inference(subst,[],[refute_14_6:[bind(X,$fot(e4)),bind(Y,$fot(op(e1,e1)))]]) ).
cnf(refute_14_40,plain,
op(e1,e1) = e4,
inference(resolve,[$cnf( $equal(e4,op(e1,e1)) )],[refute_14_38,refute_14_39]) ).
cnf(refute_14_41,plain,
op(e4,op(e1,e1)) = op(e4,op(e1,e1)),
introduced(tautology,[refl,[$fot(op(e4,op(e1,e1)))]]) ).
cnf(refute_14_42,plain,
( op(e1,e1) != e4
| op(e4,op(e1,e1)) != op(e4,op(e1,e1))
| op(e4,op(e1,e1)) = op(e4,e4) ),
introduced(tautology,[equality,[$cnf( $equal(op(e4,op(e1,e1)),op(e4,op(e1,e1))) ),[1,1],$fot(e4)]]) ).
cnf(refute_14_43,plain,
( op(e1,e1) != e4
| op(e4,op(e1,e1)) = op(e4,e4) ),
inference(resolve,[$cnf( $equal(op(e4,op(e1,e1)),op(e4,op(e1,e1))) )],[refute_14_41,refute_14_42]) ).
cnf(refute_14_44,plain,
op(e4,op(e1,e1)) = op(e4,e4),
inference(resolve,[$cnf( $equal(op(e1,e1),e4) )],[refute_14_40,refute_14_43]) ).
cnf(refute_14_45,plain,
op(op(e1,e1),op(e1,e1)) = op(op(e1,e1),op(e1,e1)),
introduced(tautology,[refl,[$fot(op(op(e1,e1),op(e1,e1)))]]) ).
cnf(refute_14_46,plain,
( op(e1,e1) != e4
| op(op(e1,e1),op(e1,e1)) != op(op(e1,e1),op(e1,e1))
| op(op(e1,e1),op(e1,e1)) = op(e4,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(e4)]]) ).
cnf(refute_14_47,plain,
( op(e1,e1) != e4
| op(op(e1,e1),op(e1,e1)) = op(e4,op(e1,e1)) ),
inference(resolve,[$cnf( $equal(op(op(e1,e1),op(e1,e1)),op(op(e1,e1),op(e1,e1))) )],[refute_14_45,refute_14_46]) ).
cnf(refute_14_48,plain,
op(op(e1,e1),op(e1,e1)) = op(e4,op(e1,e1)),
inference(resolve,[$cnf( $equal(op(e1,e1),e4) )],[refute_14_40,refute_14_47]) ).
cnf(refute_14_49,plain,
( op(e4,op(e1,e1)) != op(e4,e4)
| op(op(e1,e1),op(e1,e1)) != op(e4,op(e1,e1))
| op(op(e1,e1),op(e1,e1)) = op(e4,e4) ),
inference(subst,[],[refute_14_18:[bind(X,$fot(op(op(e1,e1),op(e1,e1)))),bind(Y,$fot(op(e4,op(e1,e1)))),bind(Z,$fot(op(e4,e4)))]]) ).
cnf(refute_14_50,plain,
( op(e4,op(e1,e1)) != op(e4,e4)
| op(op(e1,e1),op(e1,e1)) = op(e4,e4) ),
inference(resolve,[$cnf( $equal(op(op(e1,e1),op(e1,e1)),op(e4,op(e1,e1))) )],[refute_14_48,refute_14_49]) ).
cnf(refute_14_51,plain,
op(op(e1,e1),op(e1,e1)) = op(e4,e4),
inference(resolve,[$cnf( $equal(op(e4,op(e1,e1)),op(e4,e4)) )],[refute_14_44,refute_14_50]) ).
cnf(refute_14_52,plain,
( e2 != op(op(e1,e1),op(e1,e1))
| op(op(e1,e1),op(e1,e1)) != op(e4,e4)
| e2 = op(e4,e4) ),
introduced(tautology,[equality,[$cnf( ~ $equal(e2,op(e4,e4)) ),[0],$fot(op(op(e1,e1),op(e1,e1)))]]) ).
cnf(refute_14_53,plain,
( e2 != op(op(e1,e1),op(e1,e1))
| e2 = op(e4,e4) ),
inference(resolve,[$cnf( $equal(op(op(e1,e1),op(e1,e1)),op(e4,e4)) )],[refute_14_51,refute_14_52]) ).
cnf(refute_14_54,plain,
e2 = op(e4,e4),
inference(resolve,[$cnf( $equal(e2,op(op(e1,e1),op(e1,e1))) )],[refute_14_3,refute_14_53]) ).
cnf(refute_14_55,plain,
( e2 != op(e4,e4)
| op(e4,e4) = e2 ),
inference(subst,[],[refute_14_6:[bind(X,$fot(e2)),bind(Y,$fot(op(e4,e4)))]]) ).
cnf(refute_14_56,plain,
op(e4,e4) = e2,
inference(resolve,[$cnf( $equal(e2,op(e4,e4)) )],[refute_14_54,refute_14_55]) ).
cnf(refute_14_57,plain,
( op(e1,e4) != e2
| op(e4,e4) != e2
| op(e1,e4) = op(e4,e4) ),
introduced(tautology,[equality,[$cnf( ~ $equal(op(e1,e4),op(e4,e4)) ),[1],$fot(e2)]]) ).
cnf(refute_14_58,plain,
( op(e1,e4) != e2
| op(e1,e4) = op(e4,e4) ),
inference(resolve,[$cnf( $equal(op(e4,e4),e2) )],[refute_14_56,refute_14_57]) ).
cnf(refute_14_59,plain,
op(e1,e4) != e2,
inference(resolve,[$cnf( $equal(op(e1,e4),op(e4,e4)) )],[refute_14_58,refute_14_37]) ).
cnf(refute_14_60,plain,
( op(e2,e0) = e1
| op(e2,e1) = e1
| op(e2,e3) = e1 ),
inference(resolve,[$cnf( $equal(op(e1,e4),e2) )],[refute_14_36,refute_14_59]) ).
cnf(refute_14_61,plain,
op(e2,unit) = e2,
inference(canonicalize,[],[normalize_14_13]) ).
cnf(refute_14_62,plain,
op(e1,e3) != op(e3,e3),
inference(canonicalize,[],[normalize_14_14]) ).
cnf(refute_14_63,plain,
( op(e0,e0) = e1
| op(e1,e1) = e1
| op(e2,e2) = e1
| op(e3,e3) = e1
| op(e4,e4) = e1 ),
inference(canonicalize,[],[normalize_14_15]) ).
cnf(refute_14_64,plain,
( op(e1,e1) != e1
| op(e1,e1) != e4
| e4 = e1 ),
introduced(tautology,[equality,[$cnf( $equal(op(e1,e1),e1) ),[0],$fot(e4)]]) ).
cnf(refute_14_65,plain,
( op(e1,e1) != e1
| e4 = e1 ),
inference(resolve,[$cnf( $equal(op(e1,e1),e4) )],[refute_14_40,refute_14_64]) ).
cnf(refute_14_66,plain,
( e4 = e1
| op(e0,e0) = e1
| op(e2,e2) = e1
| op(e3,e3) = e1
| op(e4,e4) = e1 ),
inference(resolve,[$cnf( $equal(op(e1,e1),e1) )],[refute_14_63,refute_14_65]) ).
cnf(refute_14_67,plain,
( e3 = e1
| e4 = e1
| op(e0,e0) = e1
| op(e3,e3) = e1
| op(e4,e4) = e1 ),
inference(resolve,[$cnf( $equal(op(e2,e2),e1) )],[refute_14_66,refute_14_28]) ).
cnf(refute_14_68,plain,
( op(e4,e4) != e1
| op(e4,e4) != e2
| e2 = e1 ),
introduced(tautology,[equality,[$cnf( $equal(op(e4,e4),e1) ),[0],$fot(e2)]]) ).
cnf(refute_14_69,plain,
( op(e4,e4) != e1
| e2 = e1 ),
inference(resolve,[$cnf( $equal(op(e4,e4),e2) )],[refute_14_56,refute_14_68]) ).
cnf(refute_14_70,plain,
( e2 = e1
| e3 = e1
| e4 = e1
| op(e0,e0) = e1
| op(e3,e3) = e1 ),
inference(resolve,[$cnf( $equal(op(e4,e4),e1) )],[refute_14_67,refute_14_69]) ).
cnf(refute_14_71,plain,
e1 != e2,
inference(canonicalize,[],[normalize_14_16]) ).
cnf(refute_14_72,plain,
( e2 != e1
| e1 = e2 ),
inference(subst,[],[refute_14_6:[bind(X,$fot(e2)),bind(Y,$fot(e1))]]) ).
cnf(refute_14_73,plain,
e2 != e1,
inference(resolve,[$cnf( $equal(e1,e2) )],[refute_14_72,refute_14_71]) ).
cnf(refute_14_74,plain,
( e3 = e1
| e4 = e1
| op(e0,e0) = e1
| op(e3,e3) = e1 ),
inference(resolve,[$cnf( $equal(e2,e1) )],[refute_14_70,refute_14_73]) ).
cnf(refute_14_75,plain,
( e4 = e1
| op(e0,e0) = e1
| op(e3,e3) = e1 ),
inference(resolve,[$cnf( $equal(e3,e1) )],[refute_14_74,refute_14_32]) ).
cnf(refute_14_76,plain,
e1 != e4,
inference(canonicalize,[],[normalize_14_17]) ).
cnf(refute_14_77,plain,
( e4 != e1
| e1 = e4 ),
inference(subst,[],[refute_14_6:[bind(X,$fot(e4)),bind(Y,$fot(e1))]]) ).
cnf(refute_14_78,plain,
e4 != e1,
inference(resolve,[$cnf( $equal(e1,e4) )],[refute_14_77,refute_14_76]) ).
cnf(refute_14_79,plain,
( op(e0,e0) = e1
| op(e3,e3) = e1 ),
inference(resolve,[$cnf( $equal(e4,e1) )],[refute_14_75,refute_14_78]) ).
cnf(refute_14_80,plain,
( op(e1,e3) != e1
| op(e3,e3) != e1
| op(e1,e3) = op(e3,e3) ),
introduced(tautology,[equality,[$cnf( ~ $equal(op(e1,e3),op(e3,e3)) ),[1],$fot(e1)]]) ).
cnf(refute_14_81,plain,
( op(e1,e3) != e1
| op(e0,e0) = e1
| op(e1,e3) = op(e3,e3) ),
inference(resolve,[$cnf( $equal(op(e3,e3),e1) )],[refute_14_79,refute_14_80]) ).
cnf(refute_14_82,plain,
( op(e1,e3) != e1
| op(e0,e0) = e1 ),
inference(resolve,[$cnf( $equal(op(e1,e3),op(e3,e3)) )],[refute_14_81,refute_14_62]) ).
cnf(refute_14_83,plain,
op(e1,unit) = e1,
inference(canonicalize,[],[normalize_14_18]) ).
cnf(refute_14_84,plain,
op(unit,e4) = e4,
inference(canonicalize,[],[normalize_14_19]) ).
cnf(refute_14_85,plain,
op(unit,e3) = e3,
inference(canonicalize,[],[normalize_14_20]) ).
cnf(refute_14_86,plain,
( unit = e0
| unit = e1
| unit = e2
| unit = e3
| unit = e4 ),
inference(canonicalize,[],[normalize_14_21]) ).
cnf(refute_14_87,plain,
( op(unit,e4) != e4
| unit != e1
| op(e1,e4) = e4 ),
introduced(tautology,[equality,[$cnf( $equal(op(unit,e4),e4) ),[0,0],$fot(e1)]]) ).
cnf(refute_14_88,plain,
( op(unit,e4) != e4
| op(e1,e4) = e4
| unit = e0
| unit = e2
| unit = e3
| unit = e4 ),
inference(resolve,[$cnf( $equal(unit,e1) )],[refute_14_86,refute_14_87]) ).
cnf(refute_14_89,plain,
( op(e1,e4) = e4
| unit = e0
| unit = e2
| unit = e3
| unit = e4 ),
inference(resolve,[$cnf( $equal(op(unit,e4),e4) )],[refute_14_84,refute_14_88]) ).
cnf(refute_14_90,plain,
op(e1,e1) != op(e1,e4),
inference(canonicalize,[],[normalize_14_22]) ).
cnf(refute_14_91,plain,
( e4 != op(e1,e4)
| op(e1,e1) != e4
| op(e1,e1) = op(e1,e4) ),
introduced(tautology,[equality,[$cnf( $equal(op(e1,e1),e4) ),[1],$fot(op(e1,e4))]]) ).
cnf(refute_14_92,plain,
( e4 != op(e1,e4)
| op(e1,e1) = op(e1,e4) ),
inference(resolve,[$cnf( $equal(op(e1,e1),e4) )],[refute_14_40,refute_14_91]) ).
cnf(refute_14_93,plain,
e4 != op(e1,e4),
inference(resolve,[$cnf( $equal(op(e1,e1),op(e1,e4)) )],[refute_14_92,refute_14_90]) ).
cnf(refute_14_94,plain,
( op(e1,e4) != e4
| e4 = op(e1,e4) ),
inference(subst,[],[refute_14_6:[bind(X,$fot(op(e1,e4))),bind(Y,$fot(e4))]]) ).
cnf(refute_14_95,plain,
op(e1,e4) != e4,
inference(resolve,[$cnf( $equal(e4,op(e1,e4)) )],[refute_14_94,refute_14_93]) ).
cnf(refute_14_96,plain,
( unit = e0
| unit = e2
| unit = e3
| unit = e4 ),
inference(resolve,[$cnf( $equal(op(e1,e4),e4) )],[refute_14_89,refute_14_95]) ).
cnf(refute_14_97,plain,
( op(unit,e3) != e3
| unit != e2
| op(e2,e3) = e3 ),
introduced(tautology,[equality,[$cnf( $equal(op(unit,e3),e3) ),[0,0],$fot(e2)]]) ).
cnf(refute_14_98,plain,
( op(unit,e3) != e3
| op(e2,e3) = e3
| unit = e0
| unit = e3
| unit = e4 ),
inference(resolve,[$cnf( $equal(unit,e2) )],[refute_14_96,refute_14_97]) ).
cnf(refute_14_99,plain,
( op(e2,e3) = e3
| unit = e0
| unit = e3
| unit = e4 ),
inference(resolve,[$cnf( $equal(op(unit,e3),e3) )],[refute_14_85,refute_14_98]) ).
cnf(refute_14_100,plain,
op(e2,e2) != op(e2,e3),
inference(canonicalize,[],[normalize_14_23]) ).
cnf(refute_14_101,plain,
( e3 != op(e2,e3)
| op(e2,e2) != e3
| op(e2,e2) = op(e2,e3) ),
introduced(tautology,[equality,[$cnf( $equal(op(e2,e2),e3) ),[1],$fot(op(e2,e3))]]) ).
cnf(refute_14_102,plain,
( e3 != op(e2,e3)
| op(e2,e2) = op(e2,e3) ),
inference(resolve,[$cnf( $equal(op(e2,e2),e3) )],[refute_14_26,refute_14_101]) ).
cnf(refute_14_103,plain,
e3 != op(e2,e3),
inference(resolve,[$cnf( $equal(op(e2,e2),op(e2,e3)) )],[refute_14_102,refute_14_100]) ).
cnf(refute_14_104,plain,
( op(e2,e3) != e3
| e3 = op(e2,e3) ),
inference(subst,[],[refute_14_6:[bind(X,$fot(op(e2,e3))),bind(Y,$fot(e3))]]) ).
cnf(refute_14_105,plain,
op(e2,e3) != e3,
inference(resolve,[$cnf( $equal(e3,op(e2,e3)) )],[refute_14_104,refute_14_103]) ).
cnf(refute_14_106,plain,
( unit = e0
| unit = e3
| unit = e4 ),
inference(resolve,[$cnf( $equal(op(e2,e3),e3) )],[refute_14_99,refute_14_105]) ).
cnf(refute_14_107,plain,
( op(unit,e4) != e4
| unit != e4
| op(e4,e4) = e4 ),
introduced(tautology,[equality,[$cnf( $equal(op(unit,e4),e4) ),[0,0],$fot(e4)]]) ).
cnf(refute_14_108,plain,
( op(unit,e4) != e4
| op(e4,e4) = e4
| unit = e0
| unit = e3 ),
inference(resolve,[$cnf( $equal(unit,e4) )],[refute_14_106,refute_14_107]) ).
cnf(refute_14_109,plain,
( op(e4,e4) = e4
| unit = e0
| unit = e3 ),
inference(resolve,[$cnf( $equal(op(unit,e4),e4) )],[refute_14_84,refute_14_108]) ).
cnf(refute_14_110,plain,
( op(e4,e4) != e2
| op(e4,e4) != e4
| e2 = e4 ),
introduced(tautology,[equality,[$cnf( $equal(op(e4,e4),e4) ),[0],$fot(e2)]]) ).
cnf(refute_14_111,plain,
( op(e4,e4) != e4
| e2 = e4 ),
inference(resolve,[$cnf( $equal(op(e4,e4),e2) )],[refute_14_56,refute_14_110]) ).
cnf(refute_14_112,plain,
( e2 = e4
| unit = e0
| unit = e3 ),
inference(resolve,[$cnf( $equal(op(e4,e4),e4) )],[refute_14_109,refute_14_111]) ).
cnf(refute_14_113,plain,
e2 != e4,
inference(canonicalize,[],[normalize_14_24]) ).
cnf(refute_14_114,plain,
( unit = e0
| unit = e3 ),
inference(resolve,[$cnf( $equal(e2,e4) )],[refute_14_112,refute_14_113]) ).
cnf(refute_14_115,plain,
( op(e1,unit) != e1
| unit != e3
| op(e1,e3) = e1 ),
introduced(tautology,[equality,[$cnf( $equal(op(e1,unit),e1) ),[0,1],$fot(e3)]]) ).
cnf(refute_14_116,plain,
( op(e1,unit) != e1
| op(e1,e3) = e1
| unit = e0 ),
inference(resolve,[$cnf( $equal(unit,e3) )],[refute_14_114,refute_14_115]) ).
cnf(refute_14_117,plain,
( op(e1,e3) = e1
| unit = e0 ),
inference(resolve,[$cnf( $equal(op(e1,unit),e1) )],[refute_14_83,refute_14_116]) ).
cnf(refute_14_118,plain,
( e1 != e1
| op(e1,e3) != e1
| op(e1,e3) = e1 ),
introduced(tautology,[equality,[$cnf( $equal(op(e1,e3),e1) ),[0,0],$fot(e1)]]) ).
cnf(refute_14_119,plain,
( e1 != e1
| op(e1,e3) = e1
| unit = e0 ),
inference(resolve,[$cnf( $equal(op(e1,e3),e1) )],[refute_14_117,refute_14_118]) ).
cnf(refute_14_120,plain,
( e1 != e1
| op(e0,e0) = e1
| unit = e0 ),
inference(resolve,[$cnf( $equal(op(e1,e3),e1) )],[refute_14_119,refute_14_82]) ).
cnf(refute_14_121,plain,
e1 = e1,
introduced(tautology,[refl,[$fot(e1)]]) ).
cnf(refute_14_122,plain,
( op(e0,e0) = e1
| unit = e0 ),
inference(resolve,[$cnf( $equal(e1,e1) )],[refute_14_121,refute_14_120]) ).
cnf(refute_14_123,plain,
op(e0,e3) != op(e3,e3),
inference(canonicalize,[],[normalize_14_25]) ).
cnf(refute_14_124,plain,
( op(e0,e0) = e0
| op(e1,e1) = e0
| op(e2,e2) = e0
| op(e3,e3) = e0
| op(e4,e4) = e0 ),
inference(canonicalize,[],[normalize_14_26]) ).
cnf(refute_14_125,plain,
( op(e1,e1) != e0
| op(e1,e1) != e4
| e4 = e0 ),
introduced(tautology,[equality,[$cnf( $equal(op(e1,e1),e0) ),[0],$fot(e4)]]) ).
cnf(refute_14_126,plain,
( op(e1,e1) != e0
| e4 = e0 ),
inference(resolve,[$cnf( $equal(op(e1,e1),e4) )],[refute_14_40,refute_14_125]) ).
cnf(refute_14_127,plain,
( e4 = e0
| op(e0,e0) = e0
| op(e2,e2) = e0
| op(e3,e3) = e0
| op(e4,e4) = e0 ),
inference(resolve,[$cnf( $equal(op(e1,e1),e0) )],[refute_14_124,refute_14_126]) ).
cnf(refute_14_128,plain,
( op(e2,e2) != e0
| op(e2,e2) != e3
| e3 = e0 ),
introduced(tautology,[equality,[$cnf( $equal(op(e2,e2),e0) ),[0],$fot(e3)]]) ).
cnf(refute_14_129,plain,
( op(e2,e2) != e0
| e3 = e0 ),
inference(resolve,[$cnf( $equal(op(e2,e2),e3) )],[refute_14_26,refute_14_128]) ).
cnf(refute_14_130,plain,
( e3 = e0
| e4 = e0
| op(e0,e0) = e0
| op(e3,e3) = e0
| op(e4,e4) = e0 ),
inference(resolve,[$cnf( $equal(op(e2,e2),e0) )],[refute_14_127,refute_14_129]) ).
cnf(refute_14_131,plain,
( op(e4,e4) != e0
| op(e4,e4) != e2
| e2 = e0 ),
introduced(tautology,[equality,[$cnf( $equal(op(e4,e4),e0) ),[0],$fot(e2)]]) ).
cnf(refute_14_132,plain,
( op(e4,e4) != e0
| e2 = e0 ),
inference(resolve,[$cnf( $equal(op(e4,e4),e2) )],[refute_14_56,refute_14_131]) ).
cnf(refute_14_133,plain,
( e2 = e0
| e3 = e0
| e4 = e0
| op(e0,e0) = e0
| op(e3,e3) = e0 ),
inference(resolve,[$cnf( $equal(op(e4,e4),e0) )],[refute_14_130,refute_14_132]) ).
cnf(refute_14_134,plain,
e0 != e2,
inference(canonicalize,[],[normalize_14_27]) ).
cnf(refute_14_135,plain,
( e2 != e0
| e0 = e2 ),
inference(subst,[],[refute_14_6:[bind(X,$fot(e2)),bind(Y,$fot(e0))]]) ).
cnf(refute_14_136,plain,
e2 != e0,
inference(resolve,[$cnf( $equal(e0,e2) )],[refute_14_135,refute_14_134]) ).
cnf(refute_14_137,plain,
( e3 = e0
| e4 = e0
| op(e0,e0) = e0
| op(e3,e3) = e0 ),
inference(resolve,[$cnf( $equal(e2,e0) )],[refute_14_133,refute_14_136]) ).
cnf(refute_14_138,plain,
e0 != e3,
inference(canonicalize,[],[normalize_14_28]) ).
cnf(refute_14_139,plain,
( e3 != e0
| e0 = e3 ),
inference(subst,[],[refute_14_6:[bind(X,$fot(e3)),bind(Y,$fot(e0))]]) ).
cnf(refute_14_140,plain,
e3 != e0,
inference(resolve,[$cnf( $equal(e0,e3) )],[refute_14_139,refute_14_138]) ).
cnf(refute_14_141,plain,
( e4 = e0
| op(e0,e0) = e0
| op(e3,e3) = e0 ),
inference(resolve,[$cnf( $equal(e3,e0) )],[refute_14_137,refute_14_140]) ).
cnf(refute_14_142,plain,
e0 != e4,
inference(canonicalize,[],[normalize_14_29]) ).
cnf(refute_14_143,plain,
( e4 != e0
| e0 = e4 ),
inference(subst,[],[refute_14_6:[bind(X,$fot(e4)),bind(Y,$fot(e0))]]) ).
cnf(refute_14_144,plain,
e4 != e0,
inference(resolve,[$cnf( $equal(e0,e4) )],[refute_14_143,refute_14_142]) ).
cnf(refute_14_145,plain,
( op(e0,e0) = e0
| op(e3,e3) = e0 ),
inference(resolve,[$cnf( $equal(e4,e0) )],[refute_14_141,refute_14_144]) ).
cnf(refute_14_146,plain,
( op(e0,e3) != e0
| op(e3,e3) != e0
| op(e0,e3) = op(e3,e3) ),
introduced(tautology,[equality,[$cnf( ~ $equal(op(e0,e3),op(e3,e3)) ),[1],$fot(e0)]]) ).
cnf(refute_14_147,plain,
( op(e0,e3) != e0
| op(e0,e0) = e0
| op(e0,e3) = op(e3,e3) ),
inference(resolve,[$cnf( $equal(op(e3,e3),e0) )],[refute_14_145,refute_14_146]) ).
cnf(refute_14_148,plain,
( op(e0,e3) != e0
| op(e0,e0) = e0 ),
inference(resolve,[$cnf( $equal(op(e0,e3),op(e3,e3)) )],[refute_14_147,refute_14_123]) ).
cnf(refute_14_149,plain,
op(e0,unit) = e0,
inference(canonicalize,[],[normalize_14_30]) ).
cnf(refute_14_150,plain,
( op(e0,unit) != e0
| unit != e3
| op(e0,e3) = e0 ),
introduced(tautology,[equality,[$cnf( $equal(op(e0,unit),e0) ),[0,1],$fot(e3)]]) ).
cnf(refute_14_151,plain,
( op(e0,unit) != e0
| op(e0,e3) = e0
| unit = e0 ),
inference(resolve,[$cnf( $equal(unit,e3) )],[refute_14_114,refute_14_150]) ).
cnf(refute_14_152,plain,
( op(e0,e3) = e0
| unit = e0 ),
inference(resolve,[$cnf( $equal(op(e0,unit),e0) )],[refute_14_149,refute_14_151]) ).
cnf(refute_14_153,plain,
( e0 != e0
| op(e0,e3) != e0
| op(e0,e3) = e0 ),
introduced(tautology,[equality,[$cnf( $equal(op(e0,e3),e0) ),[0,0],$fot(e0)]]) ).
cnf(refute_14_154,plain,
( e0 != e0
| op(e0,e3) = e0
| unit = e0 ),
inference(resolve,[$cnf( $equal(op(e0,e3),e0) )],[refute_14_152,refute_14_153]) ).
cnf(refute_14_155,plain,
( e0 != e0
| op(e0,e0) = e0
| unit = e0 ),
inference(resolve,[$cnf( $equal(op(e0,e3),e0) )],[refute_14_154,refute_14_148]) ).
cnf(refute_14_156,plain,
e0 = e0,
introduced(tautology,[refl,[$fot(e0)]]) ).
cnf(refute_14_157,plain,
( op(e0,e0) = e0
| unit = e0 ),
inference(resolve,[$cnf( $equal(e0,e0) )],[refute_14_156,refute_14_155]) ).
cnf(refute_14_158,plain,
( op(e0,e0) != e0
| op(e0,e0) != e1
| e0 = e1 ),
introduced(tautology,[equality,[$cnf( $equal(op(e0,e0),e1) ),[0],$fot(e0)]]) ).
cnf(refute_14_159,plain,
( op(e0,e0) != e1
| e0 = e1
| unit = e0 ),
inference(resolve,[$cnf( $equal(op(e0,e0),e0) )],[refute_14_157,refute_14_158]) ).
cnf(refute_14_160,plain,
( e0 = e1
| unit = e0 ),
inference(resolve,[$cnf( $equal(op(e0,e0),e1) )],[refute_14_122,refute_14_159]) ).
cnf(refute_14_161,plain,
e0 != e1,
inference(canonicalize,[],[normalize_14_31]) ).
cnf(refute_14_162,plain,
unit = e0,
inference(resolve,[$cnf( $equal(e0,e1) )],[refute_14_160,refute_14_161]) ).
cnf(refute_14_163,plain,
op(e2,unit) = op(e2,unit),
introduced(tautology,[refl,[$fot(op(e2,unit))]]) ).
cnf(refute_14_164,plain,
( op(e2,unit) != op(e2,unit)
| unit != e0
| op(e2,unit) = op(e2,e0) ),
introduced(tautology,[equality,[$cnf( $equal(op(e2,unit),op(e2,unit)) ),[1,1],$fot(e0)]]) ).
cnf(refute_14_165,plain,
( unit != e0
| op(e2,unit) = op(e2,e0) ),
inference(resolve,[$cnf( $equal(op(e2,unit),op(e2,unit)) )],[refute_14_163,refute_14_164]) ).
cnf(refute_14_166,plain,
op(e2,unit) = op(e2,e0),
inference(resolve,[$cnf( $equal(unit,e0) )],[refute_14_162,refute_14_165]) ).
cnf(refute_14_167,plain,
( op(e2,unit) != e2
| op(e2,unit) != op(e2,e0)
| op(e2,e0) = e2 ),
introduced(tautology,[equality,[$cnf( $equal(op(e2,unit),e2) ),[0],$fot(op(e2,e0))]]) ).
cnf(refute_14_168,plain,
( op(e2,unit) != e2
| op(e2,e0) = e2 ),
inference(resolve,[$cnf( $equal(op(e2,unit),op(e2,e0)) )],[refute_14_166,refute_14_167]) ).
cnf(refute_14_169,plain,
op(e2,e0) = e2,
inference(resolve,[$cnf( $equal(op(e2,unit),e2) )],[refute_14_61,refute_14_168]) ).
cnf(refute_14_170,plain,
( op(e2,e0) != e1
| op(e2,e0) != e2
| e2 = e1 ),
introduced(tautology,[equality,[$cnf( $equal(op(e2,e0),e1) ),[0],$fot(e2)]]) ).
cnf(refute_14_171,plain,
( op(e2,e0) != e1
| e2 = e1 ),
inference(resolve,[$cnf( $equal(op(e2,e0),e2) )],[refute_14_169,refute_14_170]) ).
cnf(refute_14_172,plain,
( e2 = e1
| op(e2,e1) = e1
| op(e2,e3) = e1 ),
inference(resolve,[$cnf( $equal(op(e2,e0),e1) )],[refute_14_60,refute_14_171]) ).
cnf(refute_14_173,plain,
op(e0,e1) != op(e2,e1),
inference(canonicalize,[],[normalize_14_32]) ).
cnf(refute_14_174,plain,
( op(op(e2,e1),e1) != e2
| op(e1,e2) = op(e2,e1)
| op(op(e2,e1),e2) = e1 ),
inference(canonicalize,[],[normalize_14_33]) ).
cnf(refute_14_175,plain,
e0 = op(e1,op(op(e1,e1),op(e1,e1))),
inference(canonicalize,[],[normalize_14_34]) ).
cnf(refute_14_176,plain,
op(e1,op(op(e1,e1),op(e1,e1))) = op(e1,op(op(e1,e1),op(e1,e1))),
introduced(tautology,[refl,[$fot(op(e1,op(op(e1,e1),op(e1,e1))))]]) ).
cnf(refute_14_177,plain,
( op(e1,op(op(e1,e1),op(e1,e1))) != op(e1,op(op(e1,e1),op(e1,e1)))
| op(op(e1,e1),op(e1,e1)) != e2
| op(e1,op(op(e1,e1),op(e1,e1))) = op(e1,e2) ),
introduced(tautology,[equality,[$cnf( $equal(op(e1,op(op(e1,e1),op(e1,e1))),op(e1,op(op(e1,e1),op(e1,e1)))) ),[1,1],$fot(e2)]]) ).
cnf(refute_14_178,plain,
( op(op(e1,e1),op(e1,e1)) != e2
| op(e1,op(op(e1,e1),op(e1,e1))) = op(e1,e2) ),
inference(resolve,[$cnf( $equal(op(e1,op(op(e1,e1),op(e1,e1))),op(e1,op(op(e1,e1),op(e1,e1)))) )],[refute_14_176,refute_14_177]) ).
cnf(refute_14_179,plain,
op(e1,op(op(e1,e1),op(e1,e1))) = op(e1,e2),
inference(resolve,[$cnf( $equal(op(op(e1,e1),op(e1,e1)),e2) )],[refute_14_8,refute_14_178]) ).
cnf(refute_14_180,plain,
( e0 != op(e1,op(op(e1,e1),op(e1,e1)))
| op(e1,op(op(e1,e1),op(e1,e1))) != op(e1,e2)
| e0 = op(e1,e2) ),
introduced(tautology,[equality,[$cnf( ~ $equal(e0,op(e1,e2)) ),[0],$fot(op(e1,op(op(e1,e1),op(e1,e1))))]]) ).
cnf(refute_14_181,plain,
( e0 != op(e1,op(op(e1,e1),op(e1,e1)))
| e0 = op(e1,e2) ),
inference(resolve,[$cnf( $equal(op(e1,op(op(e1,e1),op(e1,e1))),op(e1,e2)) )],[refute_14_179,refute_14_180]) ).
cnf(refute_14_182,plain,
e0 = op(e1,e2),
inference(resolve,[$cnf( $equal(e0,op(e1,op(op(e1,e1),op(e1,e1)))) )],[refute_14_175,refute_14_181]) ).
cnf(refute_14_183,plain,
( e0 != op(e1,e2)
| op(e1,e2) = e0 ),
inference(subst,[],[refute_14_6:[bind(X,$fot(e0)),bind(Y,$fot(op(e1,e2)))]]) ).
cnf(refute_14_184,plain,
op(e1,e2) = e0,
inference(resolve,[$cnf( $equal(e0,op(e1,e2)) )],[refute_14_182,refute_14_183]) ).
cnf(refute_14_185,plain,
( op(e1,e2) != e0
| op(e1,e2) != op(e2,e1)
| e0 = op(e2,e1) ),
introduced(tautology,[equality,[$cnf( $equal(op(e1,e2),op(e2,e1)) ),[0],$fot(e0)]]) ).
cnf(refute_14_186,plain,
( op(e1,e2) != op(e2,e1)
| e0 = op(e2,e1) ),
inference(resolve,[$cnf( $equal(op(e1,e2),e0) )],[refute_14_184,refute_14_185]) ).
cnf(refute_14_187,plain,
( op(op(e2,e1),e1) != e2
| e0 = op(e2,e1)
| op(op(e2,e1),e2) = e1 ),
inference(resolve,[$cnf( $equal(op(e1,e2),op(e2,e1)) )],[refute_14_174,refute_14_186]) ).
cnf(refute_14_188,plain,
( op(e2,e1) = e0
| op(e2,e1) = e1
| op(e2,e1) = e2
| op(e2,e1) = e3
| op(e2,e1) = e4 ),
inference(canonicalize,[],[normalize_14_36]) ).
cnf(refute_14_189,plain,
op(e2,e1) != op(e2,e2),
inference(canonicalize,[],[normalize_14_37]) ).
cnf(refute_14_190,plain,
( op(e2,e1) != e3
| op(e2,e2) != e3
| op(e2,e1) = op(e2,e2) ),
introduced(tautology,[equality,[$cnf( ~ $equal(op(e2,e1),op(e2,e2)) ),[1],$fot(e3)]]) ).
cnf(refute_14_191,plain,
( op(e2,e1) != e3
| op(e2,e1) = op(e2,e2) ),
inference(resolve,[$cnf( $equal(op(e2,e2),e3) )],[refute_14_26,refute_14_190]) ).
cnf(refute_14_192,plain,
op(e2,e1) != e3,
inference(resolve,[$cnf( $equal(op(e2,e1),op(e2,e2)) )],[refute_14_191,refute_14_189]) ).
cnf(refute_14_193,plain,
( op(e2,e1) = e0
| op(e2,e1) = e1
| op(e2,e1) = e2
| op(e2,e1) = e4 ),
inference(resolve,[$cnf( $equal(op(e2,e1),e3) )],[refute_14_188,refute_14_192]) ).
cnf(refute_14_194,plain,
op(e1,e1) != op(e2,e1),
inference(canonicalize,[],[normalize_14_38]) ).
cnf(refute_14_195,plain,
( e4 != op(e2,e1)
| op(e1,e1) != e4
| op(e1,e1) = op(e2,e1) ),
introduced(tautology,[equality,[$cnf( $equal(op(e1,e1),e4) ),[1],$fot(op(e2,e1))]]) ).
cnf(refute_14_196,plain,
( e4 != op(e2,e1)
| op(e1,e1) = op(e2,e1) ),
inference(resolve,[$cnf( $equal(op(e1,e1),e4) )],[refute_14_40,refute_14_195]) ).
cnf(refute_14_197,plain,
e4 != op(e2,e1),
inference(resolve,[$cnf( $equal(op(e1,e1),op(e2,e1)) )],[refute_14_196,refute_14_194]) ).
cnf(refute_14_198,plain,
( op(e2,e1) != e4
| e4 = op(e2,e1) ),
inference(subst,[],[refute_14_6:[bind(X,$fot(op(e2,e1))),bind(Y,$fot(e4))]]) ).
cnf(refute_14_199,plain,
op(e2,e1) != e4,
inference(resolve,[$cnf( $equal(e4,op(e2,e1)) )],[refute_14_198,refute_14_197]) ).
cnf(refute_14_200,plain,
( op(e2,e1) = e0
| op(e2,e1) = e1
| op(e2,e1) = e2 ),
inference(resolve,[$cnf( $equal(op(e2,e1),e4) )],[refute_14_193,refute_14_199]) ).
cnf(refute_14_201,plain,
( op(e2,e1) != e2
| op(op(e2,e1),e1) = e2 ),
introduced(tautology,[equality,[$cnf( ~ $equal(op(op(e2,e1),e1),e2) ),[0,0],$fot(e2)]]) ).
cnf(refute_14_202,plain,
( op(e2,e1) = e0
| op(e2,e1) = e1
| op(op(e2,e1),e1) = e2 ),
inference(resolve,[$cnf( $equal(op(e2,e1),e2) )],[refute_14_200,refute_14_201]) ).
cnf(refute_14_203,plain,
( e0 = op(e2,e1)
| op(e2,e1) = e0
| op(e2,e1) = e1
| op(op(e2,e1),e2) = e1 ),
inference(resolve,[$cnf( $equal(op(op(e2,e1),e1),e2) )],[refute_14_202,refute_14_187]) ).
cnf(refute_14_204,plain,
( op(e2,e1) != e0
| e0 = op(e2,e1) ),
inference(subst,[],[refute_14_6:[bind(X,$fot(op(e2,e1))),bind(Y,$fot(e0))]]) ).
cnf(refute_14_205,plain,
( e0 = op(e2,e1)
| op(e2,e1) = e1
| op(op(e2,e1),e2) = e1 ),
inference(resolve,[$cnf( $equal(op(e2,e1),e0) )],[refute_14_203,refute_14_204]) ).
cnf(refute_14_206,plain,
( op(e2,e1) != e2
| op(op(e2,e1),e2) != e1
| op(e2,e2) = e1 ),
introduced(tautology,[equality,[$cnf( $equal(op(op(e2,e1),e2),e1) ),[0,0],$fot(e2)]]) ).
cnf(refute_14_207,plain,
( op(op(e2,e1),e2) != e1
| op(e2,e1) = e0
| op(e2,e1) = e1
| op(e2,e2) = e1 ),
inference(resolve,[$cnf( $equal(op(e2,e1),e2) )],[refute_14_200,refute_14_206]) ).
cnf(refute_14_208,plain,
( e0 = op(e2,e1)
| op(e2,e1) = e0
| op(e2,e1) = e1
| op(e2,e2) = e1 ),
inference(resolve,[$cnf( $equal(op(op(e2,e1),e2),e1) )],[refute_14_205,refute_14_207]) ).
cnf(refute_14_209,plain,
( e0 = op(e2,e1)
| op(e2,e1) = e1
| op(e2,e2) = e1 ),
inference(resolve,[$cnf( $equal(op(e2,e1),e0) )],[refute_14_208,refute_14_204]) ).
cnf(refute_14_210,plain,
( e0 = op(e2,e1)
| e3 = e1
| op(e2,e1) = e1 ),
inference(resolve,[$cnf( $equal(op(e2,e2),e1) )],[refute_14_209,refute_14_28]) ).
cnf(refute_14_211,plain,
( e0 = op(e2,e1)
| op(e2,e1) = e1 ),
inference(resolve,[$cnf( $equal(e3,e1) )],[refute_14_210,refute_14_32]) ).
cnf(refute_14_212,plain,
( op(e0,e1) != e1
| op(e2,e1) != e1
| op(e0,e1) = op(e2,e1) ),
introduced(tautology,[equality,[$cnf( ~ $equal(op(e0,e1),op(e2,e1)) ),[1],$fot(e1)]]) ).
cnf(refute_14_213,plain,
( op(e0,e1) != e1
| e0 = op(e2,e1)
| op(e0,e1) = op(e2,e1) ),
inference(resolve,[$cnf( $equal(op(e2,e1),e1) )],[refute_14_211,refute_14_212]) ).
cnf(refute_14_214,plain,
( op(e0,e1) != e1
| e0 = op(e2,e1) ),
inference(resolve,[$cnf( $equal(op(e0,e1),op(e2,e1)) )],[refute_14_213,refute_14_173]) ).
cnf(refute_14_215,plain,
op(unit,e1) = e1,
inference(canonicalize,[],[normalize_14_39]) ).
cnf(refute_14_216,plain,
op(unit,e1) = op(unit,e1),
introduced(tautology,[refl,[$fot(op(unit,e1))]]) ).
cnf(refute_14_217,plain,
( op(unit,e1) != op(unit,e1)
| unit != e0
| op(unit,e1) = op(e0,e1) ),
introduced(tautology,[equality,[$cnf( $equal(op(unit,e1),op(unit,e1)) ),[1,0],$fot(e0)]]) ).
cnf(refute_14_218,plain,
( unit != e0
| op(unit,e1) = op(e0,e1) ),
inference(resolve,[$cnf( $equal(op(unit,e1),op(unit,e1)) )],[refute_14_216,refute_14_217]) ).
cnf(refute_14_219,plain,
op(unit,e1) = op(e0,e1),
inference(resolve,[$cnf( $equal(unit,e0) )],[refute_14_162,refute_14_218]) ).
cnf(refute_14_220,plain,
( op(unit,e1) != e1
| op(unit,e1) != op(e0,e1)
| op(e0,e1) = e1 ),
introduced(tautology,[equality,[$cnf( $equal(op(unit,e1),e1) ),[0],$fot(op(e0,e1))]]) ).
cnf(refute_14_221,plain,
( op(unit,e1) != e1
| op(e0,e1) = e1 ),
inference(resolve,[$cnf( $equal(op(unit,e1),op(e0,e1)) )],[refute_14_219,refute_14_220]) ).
cnf(refute_14_222,plain,
op(e0,e1) = e1,
inference(resolve,[$cnf( $equal(op(unit,e1),e1) )],[refute_14_215,refute_14_221]) ).
cnf(refute_14_223,plain,
( e1 != e1
| op(e0,e1) != e1
| op(e0,e1) = e1 ),
introduced(tautology,[equality,[$cnf( $equal(op(e0,e1),e1) ),[0,1],$fot(e1)]]) ).
cnf(refute_14_224,plain,
( e1 != e1
| op(e0,e1) = e1 ),
inference(resolve,[$cnf( $equal(op(e0,e1),e1) )],[refute_14_222,refute_14_223]) ).
cnf(refute_14_225,plain,
( e1 != e1
| e0 = op(e2,e1) ),
inference(resolve,[$cnf( $equal(op(e0,e1),e1) )],[refute_14_224,refute_14_214]) ).
cnf(refute_14_226,plain,
e0 = op(e2,e1),
inference(resolve,[$cnf( $equal(e1,e1) )],[refute_14_121,refute_14_225]) ).
cnf(refute_14_227,plain,
( e0 != op(e2,e1)
| op(e2,e1) = e0 ),
inference(subst,[],[refute_14_6:[bind(X,$fot(e0)),bind(Y,$fot(op(e2,e1)))]]) ).
cnf(refute_14_228,plain,
op(e2,e1) = e0,
inference(resolve,[$cnf( $equal(e0,op(e2,e1)) )],[refute_14_226,refute_14_227]) ).
cnf(refute_14_229,plain,
( op(e2,e1) != e0
| op(e2,e1) != e1
| e0 = e1 ),
introduced(tautology,[equality,[$cnf( $equal(op(e2,e1),e1) ),[0],$fot(e0)]]) ).
cnf(refute_14_230,plain,
( op(e2,e1) != e1
| e0 = e1 ),
inference(resolve,[$cnf( $equal(op(e2,e1),e0) )],[refute_14_228,refute_14_229]) ).
cnf(refute_14_231,plain,
( e0 = e1
| e2 = e1
| op(e2,e3) = e1 ),
inference(resolve,[$cnf( $equal(op(e2,e1),e1) )],[refute_14_172,refute_14_230]) ).
cnf(refute_14_232,plain,
( op(e2,e0) = e4
| op(e2,e1) = e4
| op(e2,e2) = e4
| op(e2,e3) = e4
| op(e2,e4) = e4 ),
inference(canonicalize,[],[normalize_14_40]) ).
cnf(refute_14_233,plain,
( op(e2,e2) != e3
| op(e2,e2) != e4
| e3 = e4 ),
introduced(tautology,[equality,[$cnf( $equal(op(e2,e2),e4) ),[0],$fot(e3)]]) ).
cnf(refute_14_234,plain,
( op(e2,e2) != e4
| e3 = e4 ),
inference(resolve,[$cnf( $equal(op(e2,e2),e3) )],[refute_14_26,refute_14_233]) ).
cnf(refute_14_235,plain,
( e3 = e4
| op(e2,e0) = e4
| op(e2,e1) = e4
| op(e2,e3) = e4
| op(e2,e4) = e4 ),
inference(resolve,[$cnf( $equal(op(e2,e2),e4) )],[refute_14_232,refute_14_234]) ).
cnf(refute_14_236,plain,
e3 != e4,
inference(canonicalize,[],[normalize_14_41]) ).
cnf(refute_14_237,plain,
( op(e2,e0) = e4
| op(e2,e1) = e4
| op(e2,e3) = e4
| op(e2,e4) = e4 ),
inference(resolve,[$cnf( $equal(e3,e4) )],[refute_14_235,refute_14_236]) ).
cnf(refute_14_238,plain,
( op(e2,e0) = e4
| op(e2,e3) = e4
| op(e2,e4) = e4 ),
inference(resolve,[$cnf( $equal(op(e2,e1),e4) )],[refute_14_237,refute_14_199]) ).
cnf(refute_14_239,plain,
( op(e2,e0) != e2
| op(e2,e0) != e4
| e2 = e4 ),
introduced(tautology,[equality,[$cnf( $equal(op(e2,e0),e4) ),[0],$fot(e2)]]) ).
cnf(refute_14_240,plain,
( op(e2,e0) != e4
| e2 = e4 ),
inference(resolve,[$cnf( $equal(op(e2,e0),e2) )],[refute_14_169,refute_14_239]) ).
cnf(refute_14_241,plain,
( e2 = e4
| op(e2,e3) = e4
| op(e2,e4) = e4 ),
inference(resolve,[$cnf( $equal(op(e2,e0),e4) )],[refute_14_238,refute_14_240]) ).
cnf(refute_14_242,plain,
( op(e2,e3) = e4
| op(e2,e4) = e4 ),
inference(resolve,[$cnf( $equal(e2,e4) )],[refute_14_241,refute_14_113]) ).
cnf(refute_14_243,plain,
op(e0,e4) != op(e2,e4),
inference(canonicalize,[],[normalize_14_42]) ).
cnf(refute_14_244,plain,
op(unit,e4) = op(unit,e4),
introduced(tautology,[refl,[$fot(op(unit,e4))]]) ).
cnf(refute_14_245,plain,
( op(unit,e4) != op(unit,e4)
| unit != e0
| op(unit,e4) = op(e0,e4) ),
introduced(tautology,[equality,[$cnf( $equal(op(unit,e4),op(unit,e4)) ),[1,0],$fot(e0)]]) ).
cnf(refute_14_246,plain,
( unit != e0
| op(unit,e4) = op(e0,e4) ),
inference(resolve,[$cnf( $equal(op(unit,e4),op(unit,e4)) )],[refute_14_244,refute_14_245]) ).
cnf(refute_14_247,plain,
op(unit,e4) = op(e0,e4),
inference(resolve,[$cnf( $equal(unit,e0) )],[refute_14_162,refute_14_246]) ).
cnf(refute_14_248,plain,
( op(unit,e4) != e4
| op(unit,e4) != op(e0,e4)
| op(e0,e4) = e4 ),
introduced(tautology,[equality,[$cnf( $equal(op(unit,e4),e4) ),[0],$fot(op(e0,e4))]]) ).
cnf(refute_14_249,plain,
( op(unit,e4) != e4
| op(e0,e4) = e4 ),
inference(resolve,[$cnf( $equal(op(unit,e4),op(e0,e4)) )],[refute_14_247,refute_14_248]) ).
cnf(refute_14_250,plain,
op(e0,e4) = e4,
inference(resolve,[$cnf( $equal(op(unit,e4),e4) )],[refute_14_84,refute_14_249]) ).
cnf(refute_14_251,plain,
( e4 != op(e2,e4)
| op(e0,e4) != e4
| op(e0,e4) = op(e2,e4) ),
introduced(tautology,[equality,[$cnf( $equal(op(e0,e4),e4) ),[1],$fot(op(e2,e4))]]) ).
cnf(refute_14_252,plain,
( e4 != op(e2,e4)
| op(e0,e4) = op(e2,e4) ),
inference(resolve,[$cnf( $equal(op(e0,e4),e4) )],[refute_14_250,refute_14_251]) ).
cnf(refute_14_253,plain,
e4 != op(e2,e4),
inference(resolve,[$cnf( $equal(op(e0,e4),op(e2,e4)) )],[refute_14_252,refute_14_243]) ).
cnf(refute_14_254,plain,
( op(e2,e4) != e4
| e4 = op(e2,e4) ),
inference(subst,[],[refute_14_6:[bind(X,$fot(op(e2,e4))),bind(Y,$fot(e4))]]) ).
cnf(refute_14_255,plain,
op(e2,e4) != e4,
inference(resolve,[$cnf( $equal(e4,op(e2,e4)) )],[refute_14_254,refute_14_253]) ).
cnf(refute_14_256,plain,
op(e2,e3) = e4,
inference(resolve,[$cnf( $equal(op(e2,e4),e4) )],[refute_14_242,refute_14_255]) ).
cnf(refute_14_257,plain,
( op(e2,e3) != e1
| op(e2,e3) != e4
| e4 = e1 ),
introduced(tautology,[equality,[$cnf( $equal(op(e2,e3),e1) ),[0],$fot(e4)]]) ).
cnf(refute_14_258,plain,
( op(e2,e3) != e1
| e4 = e1 ),
inference(resolve,[$cnf( $equal(op(e2,e3),e4) )],[refute_14_256,refute_14_257]) ).
cnf(refute_14_259,plain,
( e0 = e1
| e2 = e1
| e4 = e1 ),
inference(resolve,[$cnf( $equal(op(e2,e3),e1) )],[refute_14_231,refute_14_258]) ).
cnf(refute_14_260,plain,
( e2 = e1
| e4 = e1 ),
inference(resolve,[$cnf( $equal(e0,e1) )],[refute_14_259,refute_14_161]) ).
cnf(refute_14_261,plain,
e4 = e1,
inference(resolve,[$cnf( $equal(e2,e1) )],[refute_14_260,refute_14_73]) ).
cnf(refute_14_262,plain,
$false,
inference(resolve,[$cnf( $equal(e4,e1) )],[refute_14_261,refute_14_78]) ).
fof(negate_15_0,plain,
~ ( ( ( op(e0,e0) = e0
| op(e1,e1) = e0
| op(e2,e2) = e0
| op(e3,e3) = e0
| op(e4,e4) = e0 )
& ( op(e0,e0) = e1
| op(e1,e1) = e1
| op(e2,e2) = e1
| op(e3,e3) = e1
| op(e4,e4) = e1 )
& ( op(e0,e0) = e2
| op(e1,e1) = e2
| op(e2,e2) = e2
| op(e3,e3) = e2
| op(e4,e4) = e2 )
& ( op(e0,e0) = e3
| op(e1,e1) = e3
| op(e2,e2) = e3
| op(e3,e3) = e3
| op(e4,e4) = e3 )
& ( op(e0,e0) = e4
| op(e1,e1) = e4
| op(e2,e2) = e4
| op(e3,e3) = e4
| op(e4,e4) = e4 )
& ~ ( op(e0,e0) != op(e0,e0)
& op(op(e0,e0),e0) = e0
& op(op(e0,e0),e0) != e0 )
& ~ ( op(e1,e0) != op(e0,e1)
& op(op(e0,e1),e1) = e0
& op(op(e0,e1),e0) != e1 )
& ~ ( op(e2,e0) != op(e0,e2)
& op(op(e0,e2),e2) = e0
& op(op(e0,e2),e0) != e2 )
& ~ ( op(e3,e0) != op(e0,e3)
& op(op(e0,e3),e3) = e0
& op(op(e0,e3),e0) != e3 )
& ~ ( op(e4,e0) != op(e0,e4)
& op(op(e0,e4),e4) = e0
& op(op(e0,e4),e0) != e4 )
& ~ ( op(e0,e1) != op(e1,e0)
& op(op(e1,e0),e0) = e1
& op(op(e1,e0),e1) != e0 )
& ~ ( op(e1,e1) != op(e1,e1)
& op(op(e1,e1),e1) = e1
& op(op(e1,e1),e1) != e1 )
& ~ ( op(e2,e1) != op(e1,e2)
& op(op(e1,e2),e2) = e1
& op(op(e1,e2),e1) != e2 )
& ~ ( op(e3,e1) != op(e1,e3)
& op(op(e1,e3),e3) = e1
& op(op(e1,e3),e1) != e3 )
& ~ ( op(e4,e1) != op(e1,e4)
& op(op(e1,e4),e4) = e1
& op(op(e1,e4),e1) != e4 )
& ~ ( op(e0,e2) != op(e2,e0)
& op(op(e2,e0),e0) = e2
& op(op(e2,e0),e2) != e0 )
& ~ ( op(e1,e2) != op(e2,e1)
& op(op(e2,e1),e1) = e2
& op(op(e2,e1),e2) != e1 )
& ~ ( op(e2,e2) != op(e2,e2)
& op(op(e2,e2),e2) = e2
& op(op(e2,e2),e2) != e2 )
& ~ ( op(e3,e2) != op(e2,e3)
& op(op(e2,e3),e3) = e2
& op(op(e2,e3),e2) != e3 )
& ~ ( op(e4,e2) != op(e2,e4)
& op(op(e2,e4),e4) = e2
& op(op(e2,e4),e2) != e4 )
& op(e0,e3) != op(e3,e0)
& op(op(e3,e0),e0) = e3 )
=> op(op(e3,e0),e3) = e0 ),
inference(negate,[],[subgoal_15]) ).
fof(normalize_15_0,plain,
( op(e0,e3) != op(e3,e0)
& op(op(e3,e0),e3) != e0
& op(op(e3,e0),e0) = e3
& ( op(op(e0,e1),e1) != e0
| op(e1,e0) = op(e0,e1)
| op(op(e0,e1),e0) = e1 )
& ( op(op(e0,e2),e2) != e0
| op(e2,e0) = op(e0,e2)
| op(op(e0,e2),e0) = e2 )
& ( op(op(e0,e3),e3) != e0
| op(e3,e0) = op(e0,e3)
| op(op(e0,e3),e0) = e3 )
& ( op(op(e0,e4),e4) != e0
| op(e4,e0) = op(e0,e4)
| op(op(e0,e4),e0) = e4 )
& ( op(op(e1,e0),e0) != e1
| op(e0,e1) = op(e1,e0)
| op(op(e1,e0),e1) = e0 )
& ( op(op(e1,e2),e2) != e1
| op(e2,e1) = op(e1,e2)
| op(op(e1,e2),e1) = e2 )
& ( op(op(e1,e3),e3) != e1
| op(e3,e1) = op(e1,e3)
| op(op(e1,e3),e1) = e3 )
& ( op(op(e1,e4),e4) != e1
| op(e4,e1) = op(e1,e4)
| op(op(e1,e4),e1) = e4 )
& ( op(op(e2,e0),e0) != e2
| op(e0,e2) = op(e2,e0)
| op(op(e2,e0),e2) = e0 )
& ( op(op(e2,e1),e1) != e2
| op(e1,e2) = op(e2,e1)
| op(op(e2,e1),e2) = e1 )
& ( op(op(e2,e3),e3) != e2
| op(e3,e2) = op(e2,e3)
| op(op(e2,e3),e2) = e3 )
& ( op(op(e2,e4),e4) != e2
| op(e4,e2) = op(e2,e4)
| op(op(e2,e4),e2) = e4 )
& ( op(e0,e0) = e0
| op(e1,e1) = e0
| op(e2,e2) = e0
| op(e3,e3) = e0
| op(e4,e4) = e0 )
& ( op(e0,e0) = e1
| op(e1,e1) = e1
| op(e2,e2) = e1
| op(e3,e3) = e1
| op(e4,e4) = e1 )
& ( op(e0,e0) = e2
| op(e1,e1) = e2
| op(e2,e2) = e2
| op(e3,e3) = e2
| op(e4,e4) = e2 )
& ( op(e0,e0) = e3
| op(e1,e1) = e3
| op(e2,e2) = e3
| op(e3,e3) = e3
| op(e4,e4) = e3 )
& ( op(e0,e0) = e4
| op(e1,e1) = e4
| op(e2,e2) = e4
| op(e3,e3) = e4
| op(e4,e4) = e4 ) ),
inference(canonicalize,[],[negate_15_0]) ).
fof(normalize_15_1,plain,
op(e0,e3) != op(e3,e0),
inference(conjunct,[],[normalize_15_0]) ).
fof(normalize_15_2,plain,
( op(e0,unit) = e0
& op(e1,unit) = e1
& op(e2,unit) = e2
& op(e3,unit) = e3
& op(e4,unit) = e4
& op(unit,e0) = e0
& op(unit,e1) = e1
& op(unit,e2) = e2
& op(unit,e3) = e3
& op(unit,e4) = e4
& ( unit = e0
| unit = e1
| unit = e2
| unit = e3
| unit = e4 ) ),
inference(canonicalize,[],[ax2]) ).
fof(normalize_15_3,plain,
op(unit,e3) = e3,
inference(conjunct,[],[normalize_15_2]) ).
fof(normalize_15_4,plain,
( op(e0,e0) != op(e0,e1)
& op(e0,e0) != op(e0,e2)
& op(e0,e0) != op(e0,e3)
& op(e0,e0) != op(e0,e4)
& op(e0,e0) != op(e1,e0)
& op(e0,e0) != op(e2,e0)
& op(e0,e0) != op(e3,e0)
& op(e0,e0) != op(e4,e0)
& op(e0,e1) != op(e0,e2)
& op(e0,e1) != op(e0,e3)
& op(e0,e1) != op(e0,e4)
& op(e0,e1) != op(e1,e1)
& op(e0,e1) != op(e2,e1)
& op(e0,e1) != op(e3,e1)
& op(e0,e1) != op(e4,e1)
& op(e0,e2) != op(e0,e3)
& op(e0,e2) != op(e0,e4)
& op(e0,e2) != op(e1,e2)
& op(e0,e2) != op(e2,e2)
& op(e0,e2) != op(e3,e2)
& op(e0,e2) != op(e4,e2)
& op(e0,e3) != op(e0,e4)
& op(e0,e3) != op(e1,e3)
& op(e0,e3) != op(e2,e3)
& op(e0,e3) != op(e3,e3)
& op(e0,e3) != op(e4,e3)
& op(e0,e4) != op(e1,e4)
& op(e0,e4) != op(e2,e4)
& op(e0,e4) != op(e3,e4)
& op(e0,e4) != op(e4,e4)
& op(e1,e0) != op(e1,e1)
& op(e1,e0) != op(e1,e2)
& op(e1,e0) != op(e1,e3)
& op(e1,e0) != op(e1,e4)
& op(e1,e0) != op(e2,e0)
& op(e1,e0) != op(e3,e0)
& op(e1,e0) != op(e4,e0)
& op(e1,e1) != op(e1,e2)
& op(e1,e1) != op(e1,e3)
& op(e1,e1) != op(e1,e4)
& op(e1,e1) != op(e2,e1)
& op(e1,e1) != op(e3,e1)
& op(e1,e1) != op(e4,e1)
& op(e1,e2) != op(e1,e3)
& op(e1,e2) != op(e1,e4)
& op(e1,e2) != op(e2,e2)
& op(e1,e2) != op(e3,e2)
& op(e1,e2) != op(e4,e2)
& op(e1,e3) != op(e1,e4)
& op(e1,e3) != op(e2,e3)
& op(e1,e3) != op(e3,e3)
& op(e1,e3) != op(e4,e3)
& op(e1,e4) != op(e2,e4)
& op(e1,e4) != op(e3,e4)
& op(e1,e4) != op(e4,e4)
& op(e2,e0) != op(e2,e1)
& op(e2,e0) != op(e2,e2)
& op(e2,e0) != op(e2,e3)
& op(e2,e0) != op(e2,e4)
& op(e2,e0) != op(e3,e0)
& op(e2,e0) != op(e4,e0)
& op(e2,e1) != op(e2,e2)
& op(e2,e1) != op(e2,e3)
& op(e2,e1) != op(e2,e4)
& op(e2,e1) != op(e3,e1)
& op(e2,e1) != op(e4,e1)
& op(e2,e2) != op(e2,e3)
& op(e2,e2) != op(e2,e4)
& op(e2,e2) != op(e3,e2)
& op(e2,e2) != op(e4,e2)
& op(e2,e3) != op(e2,e4)
& op(e2,e3) != op(e3,e3)
& op(e2,e3) != op(e4,e3)
& op(e2,e4) != op(e3,e4)
& op(e2,e4) != op(e4,e4)
& op(e3,e0) != op(e3,e1)
& op(e3,e0) != op(e3,e2)
& op(e3,e0) != op(e3,e3)
& op(e3,e0) != op(e3,e4)
& op(e3,e0) != op(e4,e0)
& op(e3,e1) != op(e3,e2)
& op(e3,e1) != op(e3,e3)
& op(e3,e1) != op(e3,e4)
& op(e3,e1) != op(e4,e1)
& op(e3,e2) != op(e3,e3)
& op(e3,e2) != op(e3,e4)
& op(e3,e2) != op(e4,e2)
& op(e3,e3) != op(e3,e4)
& op(e3,e3) != op(e4,e3)
& op(e3,e4) != op(e4,e4)
& op(e4,e0) != op(e4,e1)
& op(e4,e0) != op(e4,e2)
& op(e4,e0) != op(e4,e3)
& op(e4,e0) != op(e4,e4)
& op(e4,e1) != op(e4,e2)
& op(e4,e1) != op(e4,e3)
& op(e4,e1) != op(e4,e4)
& op(e4,e2) != op(e4,e3)
& op(e4,e2) != op(e4,e4)
& op(e4,e3) != op(e4,e4) ),
inference(canonicalize,[],[ax4]) ).
fof(normalize_15_5,plain,
op(e1,e3) != op(e3,e3),
inference(conjunct,[],[normalize_15_4]) ).
fof(normalize_15_6,plain,
( op(e0,e0) = e1
| op(e1,e1) = e1
| op(e2,e2) = e1
| op(e3,e3) = e1
| op(e4,e4) = e1 ),
inference(conjunct,[],[normalize_15_0]) ).
fof(normalize_15_7,plain,
( e0 = op(e1,op(op(e1,e1),op(e1,e1)))
& e2 = op(op(e1,e1),op(e1,e1))
& e3 = op(op(op(e1,e1),op(e1,e1)),op(op(e1,e1),op(e1,e1)))
& e4 = op(e1,e1) ),
inference(canonicalize,[],[ax6]) ).
fof(normalize_15_8,plain,
e4 = op(e1,e1),
inference(conjunct,[],[normalize_15_7]) ).
fof(normalize_15_9,plain,
e3 = op(op(op(e1,e1),op(e1,e1)),op(op(e1,e1),op(e1,e1))),
inference(conjunct,[],[normalize_15_7]) ).
fof(normalize_15_10,plain,
e2 = op(op(e1,e1),op(e1,e1)),
inference(conjunct,[],[normalize_15_7]) ).
fof(normalize_15_11,plain,
( e0 != e1
& e0 != e2
& e0 != e3
& e0 != e4
& e1 != e2
& e1 != e3
& e1 != e4
& e2 != e3
& e2 != e4
& e3 != e4 ),
inference(canonicalize,[],[ax5]) ).
fof(normalize_15_12,plain,
e1 != e2,
inference(conjunct,[],[normalize_15_11]) ).
fof(normalize_15_13,plain,
e1 != e3,
inference(conjunct,[],[normalize_15_11]) ).
fof(normalize_15_14,plain,
e1 != e4,
inference(conjunct,[],[normalize_15_11]) ).
fof(normalize_15_15,plain,
op(e1,unit) = e1,
inference(conjunct,[],[normalize_15_2]) ).
fof(normalize_15_16,plain,
op(unit,e2) = e2,
inference(conjunct,[],[normalize_15_2]) ).
fof(normalize_15_17,plain,
( unit = e0
| unit = e1
| unit = e2
| unit = e3
| unit = e4 ),
inference(conjunct,[],[normalize_15_2]) ).
fof(normalize_15_18,plain,
e0 = op(e1,op(op(e1,e1),op(e1,e1))),
inference(conjunct,[],[normalize_15_7]) ).
fof(normalize_15_19,plain,
e0 != e2,
inference(conjunct,[],[normalize_15_11]) ).
fof(normalize_15_20,plain,
op(e4,e2) != op(e4,e4),
inference(conjunct,[],[normalize_15_4]) ).
fof(normalize_15_21,plain,
op(e2,e2) != op(e2,e3),
inference(conjunct,[],[normalize_15_4]) ).
fof(normalize_15_22,plain,
op(e3,e0) != op(e3,e3),
inference(conjunct,[],[normalize_15_4]) ).
fof(normalize_15_23,plain,
( op(e0,e0) = e0
| op(e1,e1) = e0
| op(e2,e2) = e0
| op(e3,e3) = e0
| op(e4,e4) = e0 ),
inference(conjunct,[],[normalize_15_0]) ).
fof(normalize_15_24,plain,
e0 != e3,
inference(conjunct,[],[normalize_15_11]) ).
fof(normalize_15_25,plain,
e0 != e4,
inference(conjunct,[],[normalize_15_11]) ).
fof(normalize_15_26,plain,
op(unit,e0) = e0,
inference(conjunct,[],[normalize_15_2]) ).
fof(normalize_15_27,plain,
e0 != e1,
inference(conjunct,[],[normalize_15_11]) ).
fof(normalize_15_28,plain,
op(e3,unit) = e3,
inference(conjunct,[],[normalize_15_2]) ).
cnf(refute_15_0,plain,
op(e0,e3) != op(e3,e0),
inference(canonicalize,[],[normalize_15_1]) ).
cnf(refute_15_1,plain,
op(unit,e3) = e3,
inference(canonicalize,[],[normalize_15_3]) ).
cnf(refute_15_2,plain,
op(e1,e3) != op(e3,e3),
inference(canonicalize,[],[normalize_15_5]) ).
cnf(refute_15_3,plain,
( op(e0,e0) = e1
| op(e1,e1) = e1
| op(e2,e2) = e1
| op(e3,e3) = e1
| op(e4,e4) = e1 ),
inference(canonicalize,[],[normalize_15_6]) ).
cnf(refute_15_4,plain,
e4 = op(e1,e1),
inference(canonicalize,[],[normalize_15_8]) ).
cnf(refute_15_5,plain,
X = X,
introduced(tautology,[refl,[$fot(X)]]) ).
cnf(refute_15_6,plain,
( X != X
| X != Y
| Y = X ),
introduced(tautology,[equality,[$cnf( $equal(X,X) ),[0],$fot(Y)]]) ).
cnf(refute_15_7,plain,
( X != Y
| Y = X ),
inference(resolve,[$cnf( $equal(X,X) )],[refute_15_5,refute_15_6]) ).
cnf(refute_15_8,plain,
( e4 != op(e1,e1)
| op(e1,e1) = e4 ),
inference(subst,[],[refute_15_7:[bind(X,$fot(e4)),bind(Y,$fot(op(e1,e1)))]]) ).
cnf(refute_15_9,plain,
op(e1,e1) = e4,
inference(resolve,[$cnf( $equal(e4,op(e1,e1)) )],[refute_15_4,refute_15_8]) ).
cnf(refute_15_10,plain,
( op(e1,e1) != e1
| op(e1,e1) != e4
| e4 = e1 ),
introduced(tautology,[equality,[$cnf( $equal(op(e1,e1),e1) ),[0],$fot(e4)]]) ).
cnf(refute_15_11,plain,
( op(e1,e1) != e1
| e4 = e1 ),
inference(resolve,[$cnf( $equal(op(e1,e1),e4) )],[refute_15_9,refute_15_10]) ).
cnf(refute_15_12,plain,
( e4 = e1
| op(e0,e0) = e1
| op(e2,e2) = e1
| op(e3,e3) = e1
| op(e4,e4) = e1 ),
inference(resolve,[$cnf( $equal(op(e1,e1),e1) )],[refute_15_3,refute_15_11]) ).
cnf(refute_15_13,plain,
e3 = op(op(op(e1,e1),op(e1,e1)),op(op(e1,e1),op(e1,e1))),
inference(canonicalize,[],[normalize_15_9]) ).
cnf(refute_15_14,plain,
e2 = op(op(e1,e1),op(e1,e1)),
inference(canonicalize,[],[normalize_15_10]) ).
cnf(refute_15_15,plain,
( e2 != op(op(e1,e1),op(e1,e1))
| op(op(e1,e1),op(e1,e1)) = e2 ),
inference(subst,[],[refute_15_7:[bind(X,$fot(e2)),bind(Y,$fot(op(op(e1,e1),op(e1,e1))))]]) ).
cnf(refute_15_16,plain,
op(op(e1,e1),op(e1,e1)) = e2,
inference(resolve,[$cnf( $equal(e2,op(op(e1,e1),op(e1,e1))) )],[refute_15_14,refute_15_15]) ).
cnf(refute_15_17,plain,
op(e2,op(op(e1,e1),op(e1,e1))) = op(e2,op(op(e1,e1),op(e1,e1))),
introduced(tautology,[refl,[$fot(op(e2,op(op(e1,e1),op(e1,e1))))]]) ).
cnf(refute_15_18,plain,
( op(e2,op(op(e1,e1),op(e1,e1))) != op(e2,op(op(e1,e1),op(e1,e1)))
| op(op(e1,e1),op(e1,e1)) != e2
| op(e2,op(op(e1,e1),op(e1,e1))) = op(e2,e2) ),
introduced(tautology,[equality,[$cnf( $equal(op(e2,op(op(e1,e1),op(e1,e1))),op(e2,op(op(e1,e1),op(e1,e1)))) ),[1,1],$fot(e2)]]) ).
cnf(refute_15_19,plain,
( op(op(e1,e1),op(e1,e1)) != e2
| op(e2,op(op(e1,e1),op(e1,e1))) = op(e2,e2) ),
inference(resolve,[$cnf( $equal(op(e2,op(op(e1,e1),op(e1,e1))),op(e2,op(op(e1,e1),op(e1,e1)))) )],[refute_15_17,refute_15_18]) ).
cnf(refute_15_20,plain,
op(e2,op(op(e1,e1),op(e1,e1))) = op(e2,e2),
inference(resolve,[$cnf( $equal(op(op(e1,e1),op(e1,e1)),e2) )],[refute_15_16,refute_15_19]) ).
cnf(refute_15_21,plain,
op(op(op(e1,e1),op(e1,e1)),op(op(e1,e1),op(e1,e1))) = op(op(op(e1,e1),op(e1,e1)),op(op(e1,e1),op(e1,e1))),
introduced(tautology,[refl,[$fot(op(op(op(e1,e1),op(e1,e1)),op(op(e1,e1),op(e1,e1))))]]) ).
cnf(refute_15_22,plain,
( op(op(e1,e1),op(e1,e1)) != e2
| op(op(op(e1,e1),op(e1,e1)),op(op(e1,e1),op(e1,e1))) != op(op(op(e1,e1),op(e1,e1)),op(op(e1,e1),op(e1,e1)))
| op(op(op(e1,e1),op(e1,e1)),op(op(e1,e1),op(e1,e1))) = op(e2,op(op(e1,e1),op(e1,e1))) ),
introduced(tautology,[equality,[$cnf( $equal(op(op(op(e1,e1),op(e1,e1)),op(op(e1,e1),op(e1,e1))),op(op(op(e1,e1),op(e1,e1)),op(op(e1,e1),op(e1,e1)))) ),[1,0],$fot(e2)]]) ).
cnf(refute_15_23,plain,
( op(op(e1,e1),op(e1,e1)) != e2
| op(op(op(e1,e1),op(e1,e1)),op(op(e1,e1),op(e1,e1))) = op(e2,op(op(e1,e1),op(e1,e1))) ),
inference(resolve,[$cnf( $equal(op(op(op(e1,e1),op(e1,e1)),op(op(e1,e1),op(e1,e1))),op(op(op(e1,e1),op(e1,e1)),op(op(e1,e1),op(e1,e1)))) )],[refute_15_21,refute_15_22]) ).
cnf(refute_15_24,plain,
op(op(op(e1,e1),op(e1,e1)),op(op(e1,e1),op(e1,e1))) = op(e2,op(op(e1,e1),op(e1,e1))),
inference(resolve,[$cnf( $equal(op(op(e1,e1),op(e1,e1)),e2) )],[refute_15_16,refute_15_23]) ).
cnf(refute_15_25,plain,
( Y != X
| Y != Z
| X = Z ),
introduced(tautology,[equality,[$cnf( $equal(Y,Z) ),[0],$fot(X)]]) ).
cnf(refute_15_26,plain,
( X != Y
| Y != Z
| X = Z ),
inference(resolve,[$cnf( $equal(Y,X) )],[refute_15_7,refute_15_25]) ).
cnf(refute_15_27,plain,
( op(e2,op(op(e1,e1),op(e1,e1))) != op(e2,e2)
| op(op(op(e1,e1),op(e1,e1)),op(op(e1,e1),op(e1,e1))) != op(e2,op(op(e1,e1),op(e1,e1)))
| op(op(op(e1,e1),op(e1,e1)),op(op(e1,e1),op(e1,e1))) = op(e2,e2) ),
inference(subst,[],[refute_15_26:[bind(X,$fot(op(op(op(e1,e1),op(e1,e1)),op(op(e1,e1),op(e1,e1))))),bind(Y,$fot(op(e2,op(op(e1,e1),op(e1,e1))))),bind(Z,$fot(op(e2,e2)))]]) ).
cnf(refute_15_28,plain,
( op(e2,op(op(e1,e1),op(e1,e1))) != op(e2,e2)
| op(op(op(e1,e1),op(e1,e1)),op(op(e1,e1),op(e1,e1))) = op(e2,e2) ),
inference(resolve,[$cnf( $equal(op(op(op(e1,e1),op(e1,e1)),op(op(e1,e1),op(e1,e1))),op(e2,op(op(e1,e1),op(e1,e1)))) )],[refute_15_24,refute_15_27]) ).
cnf(refute_15_29,plain,
op(op(op(e1,e1),op(e1,e1)),op(op(e1,e1),op(e1,e1))) = op(e2,e2),
inference(resolve,[$cnf( $equal(op(e2,op(op(e1,e1),op(e1,e1))),op(e2,e2)) )],[refute_15_20,refute_15_28]) ).
cnf(refute_15_30,plain,
( e3 != op(op(op(e1,e1),op(e1,e1)),op(op(e1,e1),op(e1,e1)))
| op(op(op(e1,e1),op(e1,e1)),op(op(e1,e1),op(e1,e1))) != op(e2,e2)
| e3 = op(e2,e2) ),
introduced(tautology,[equality,[$cnf( ~ $equal(e3,op(e2,e2)) ),[0],$fot(op(op(op(e1,e1),op(e1,e1)),op(op(e1,e1),op(e1,e1))))]]) ).
cnf(refute_15_31,plain,
( e3 != op(op(op(e1,e1),op(e1,e1)),op(op(e1,e1),op(e1,e1)))
| e3 = op(e2,e2) ),
inference(resolve,[$cnf( $equal(op(op(op(e1,e1),op(e1,e1)),op(op(e1,e1),op(e1,e1))),op(e2,e2)) )],[refute_15_29,refute_15_30]) ).
cnf(refute_15_32,plain,
e3 = op(e2,e2),
inference(resolve,[$cnf( $equal(e3,op(op(op(e1,e1),op(e1,e1)),op(op(e1,e1),op(e1,e1)))) )],[refute_15_13,refute_15_31]) ).
cnf(refute_15_33,plain,
( e3 != op(e2,e2)
| op(e2,e2) = e3 ),
inference(subst,[],[refute_15_7:[bind(X,$fot(e3)),bind(Y,$fot(op(e2,e2)))]]) ).
cnf(refute_15_34,plain,
op(e2,e2) = e3,
inference(resolve,[$cnf( $equal(e3,op(e2,e2)) )],[refute_15_32,refute_15_33]) ).
cnf(refute_15_35,plain,
( op(e2,e2) != e1
| op(e2,e2) != e3
| e3 = e1 ),
introduced(tautology,[equality,[$cnf( $equal(op(e2,e2),e1) ),[0],$fot(e3)]]) ).
cnf(refute_15_36,plain,
( op(e2,e2) != e1
| e3 = e1 ),
inference(resolve,[$cnf( $equal(op(e2,e2),e3) )],[refute_15_34,refute_15_35]) ).
cnf(refute_15_37,plain,
( e3 = e1
| e4 = e1
| op(e0,e0) = e1
| op(e3,e3) = e1
| op(e4,e4) = e1 ),
inference(resolve,[$cnf( $equal(op(e2,e2),e1) )],[refute_15_12,refute_15_36]) ).
cnf(refute_15_38,plain,
op(e4,op(e1,e1)) = op(e4,op(e1,e1)),
introduced(tautology,[refl,[$fot(op(e4,op(e1,e1)))]]) ).
cnf(refute_15_39,plain,
( op(e1,e1) != e4
| op(e4,op(e1,e1)) != op(e4,op(e1,e1))
| op(e4,op(e1,e1)) = op(e4,e4) ),
introduced(tautology,[equality,[$cnf( $equal(op(e4,op(e1,e1)),op(e4,op(e1,e1))) ),[1,1],$fot(e4)]]) ).
cnf(refute_15_40,plain,
( op(e1,e1) != e4
| op(e4,op(e1,e1)) = op(e4,e4) ),
inference(resolve,[$cnf( $equal(op(e4,op(e1,e1)),op(e4,op(e1,e1))) )],[refute_15_38,refute_15_39]) ).
cnf(refute_15_41,plain,
op(e4,op(e1,e1)) = op(e4,e4),
inference(resolve,[$cnf( $equal(op(e1,e1),e4) )],[refute_15_9,refute_15_40]) ).
cnf(refute_15_42,plain,
op(op(e1,e1),op(e1,e1)) = op(op(e1,e1),op(e1,e1)),
introduced(tautology,[refl,[$fot(op(op(e1,e1),op(e1,e1)))]]) ).
cnf(refute_15_43,plain,
( op(e1,e1) != e4
| op(op(e1,e1),op(e1,e1)) != op(op(e1,e1),op(e1,e1))
| op(op(e1,e1),op(e1,e1)) = op(e4,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(e4)]]) ).
cnf(refute_15_44,plain,
( op(e1,e1) != e4
| op(op(e1,e1),op(e1,e1)) = op(e4,op(e1,e1)) ),
inference(resolve,[$cnf( $equal(op(op(e1,e1),op(e1,e1)),op(op(e1,e1),op(e1,e1))) )],[refute_15_42,refute_15_43]) ).
cnf(refute_15_45,plain,
op(op(e1,e1),op(e1,e1)) = op(e4,op(e1,e1)),
inference(resolve,[$cnf( $equal(op(e1,e1),e4) )],[refute_15_9,refute_15_44]) ).
cnf(refute_15_46,plain,
( op(e4,op(e1,e1)) != op(e4,e4)
| op(op(e1,e1),op(e1,e1)) != op(e4,op(e1,e1))
| op(op(e1,e1),op(e1,e1)) = op(e4,e4) ),
inference(subst,[],[refute_15_26:[bind(X,$fot(op(op(e1,e1),op(e1,e1)))),bind(Y,$fot(op(e4,op(e1,e1)))),bind(Z,$fot(op(e4,e4)))]]) ).
cnf(refute_15_47,plain,
( op(e4,op(e1,e1)) != op(e4,e4)
| op(op(e1,e1),op(e1,e1)) = op(e4,e4) ),
inference(resolve,[$cnf( $equal(op(op(e1,e1),op(e1,e1)),op(e4,op(e1,e1))) )],[refute_15_45,refute_15_46]) ).
cnf(refute_15_48,plain,
op(op(e1,e1),op(e1,e1)) = op(e4,e4),
inference(resolve,[$cnf( $equal(op(e4,op(e1,e1)),op(e4,e4)) )],[refute_15_41,refute_15_47]) ).
cnf(refute_15_49,plain,
( e2 != op(op(e1,e1),op(e1,e1))
| op(op(e1,e1),op(e1,e1)) != op(e4,e4)
| e2 = op(e4,e4) ),
introduced(tautology,[equality,[$cnf( ~ $equal(e2,op(e4,e4)) ),[0],$fot(op(op(e1,e1),op(e1,e1)))]]) ).
cnf(refute_15_50,plain,
( e2 != op(op(e1,e1),op(e1,e1))
| e2 = op(e4,e4) ),
inference(resolve,[$cnf( $equal(op(op(e1,e1),op(e1,e1)),op(e4,e4)) )],[refute_15_48,refute_15_49]) ).
cnf(refute_15_51,plain,
e2 = op(e4,e4),
inference(resolve,[$cnf( $equal(e2,op(op(e1,e1),op(e1,e1))) )],[refute_15_14,refute_15_50]) ).
cnf(refute_15_52,plain,
( e2 != op(e4,e4)
| op(e4,e4) = e2 ),
inference(subst,[],[refute_15_7:[bind(X,$fot(e2)),bind(Y,$fot(op(e4,e4)))]]) ).
cnf(refute_15_53,plain,
op(e4,e4) = e2,
inference(resolve,[$cnf( $equal(e2,op(e4,e4)) )],[refute_15_51,refute_15_52]) ).
cnf(refute_15_54,plain,
( op(e4,e4) != e1
| op(e4,e4) != e2
| e2 = e1 ),
introduced(tautology,[equality,[$cnf( $equal(op(e4,e4),e1) ),[0],$fot(e2)]]) ).
cnf(refute_15_55,plain,
( op(e4,e4) != e1
| e2 = e1 ),
inference(resolve,[$cnf( $equal(op(e4,e4),e2) )],[refute_15_53,refute_15_54]) ).
cnf(refute_15_56,plain,
( e2 = e1
| e3 = e1
| e4 = e1
| op(e0,e0) = e1
| op(e3,e3) = e1 ),
inference(resolve,[$cnf( $equal(op(e4,e4),e1) )],[refute_15_37,refute_15_55]) ).
cnf(refute_15_57,plain,
e1 != e2,
inference(canonicalize,[],[normalize_15_12]) ).
cnf(refute_15_58,plain,
( e2 != e1
| e1 = e2 ),
inference(subst,[],[refute_15_7:[bind(X,$fot(e2)),bind(Y,$fot(e1))]]) ).
cnf(refute_15_59,plain,
e2 != e1,
inference(resolve,[$cnf( $equal(e1,e2) )],[refute_15_58,refute_15_57]) ).
cnf(refute_15_60,plain,
( e3 = e1
| e4 = e1
| op(e0,e0) = e1
| op(e3,e3) = e1 ),
inference(resolve,[$cnf( $equal(e2,e1) )],[refute_15_56,refute_15_59]) ).
cnf(refute_15_61,plain,
e1 != e3,
inference(canonicalize,[],[normalize_15_13]) ).
cnf(refute_15_62,plain,
( e3 != e1
| e1 = e3 ),
inference(subst,[],[refute_15_7:[bind(X,$fot(e3)),bind(Y,$fot(e1))]]) ).
cnf(refute_15_63,plain,
e3 != e1,
inference(resolve,[$cnf( $equal(e1,e3) )],[refute_15_62,refute_15_61]) ).
cnf(refute_15_64,plain,
( e4 = e1
| op(e0,e0) = e1
| op(e3,e3) = e1 ),
inference(resolve,[$cnf( $equal(e3,e1) )],[refute_15_60,refute_15_63]) ).
cnf(refute_15_65,plain,
e1 != e4,
inference(canonicalize,[],[normalize_15_14]) ).
cnf(refute_15_66,plain,
( e4 != e1
| e1 = e4 ),
inference(subst,[],[refute_15_7:[bind(X,$fot(e4)),bind(Y,$fot(e1))]]) ).
cnf(refute_15_67,plain,
e4 != e1,
inference(resolve,[$cnf( $equal(e1,e4) )],[refute_15_66,refute_15_65]) ).
cnf(refute_15_68,plain,
( op(e0,e0) = e1
| op(e3,e3) = e1 ),
inference(resolve,[$cnf( $equal(e4,e1) )],[refute_15_64,refute_15_67]) ).
cnf(refute_15_69,plain,
( op(e1,e3) != e1
| op(e3,e3) != e1
| op(e1,e3) = op(e3,e3) ),
introduced(tautology,[equality,[$cnf( ~ $equal(op(e1,e3),op(e3,e3)) ),[1],$fot(e1)]]) ).
cnf(refute_15_70,plain,
( op(e1,e3) != e1
| op(e0,e0) = e1
| op(e1,e3) = op(e3,e3) ),
inference(resolve,[$cnf( $equal(op(e3,e3),e1) )],[refute_15_68,refute_15_69]) ).
cnf(refute_15_71,plain,
( op(e1,e3) != e1
| op(e0,e0) = e1 ),
inference(resolve,[$cnf( $equal(op(e1,e3),op(e3,e3)) )],[refute_15_70,refute_15_2]) ).
cnf(refute_15_72,plain,
op(e1,unit) = e1,
inference(canonicalize,[],[normalize_15_15]) ).
cnf(refute_15_73,plain,
op(unit,e2) = e2,
inference(canonicalize,[],[normalize_15_16]) ).
cnf(refute_15_74,plain,
( unit = e0
| unit = e1
| unit = e2
| unit = e3
| unit = e4 ),
inference(canonicalize,[],[normalize_15_17]) ).
cnf(refute_15_75,plain,
( op(unit,e2) != e2
| unit != e1
| op(e1,e2) = e2 ),
introduced(tautology,[equality,[$cnf( $equal(op(unit,e2),e2) ),[0,0],$fot(e1)]]) ).
cnf(refute_15_76,plain,
( op(unit,e2) != e2
| op(e1,e2) = e2
| unit = e0
| unit = e2
| unit = e3
| unit = e4 ),
inference(resolve,[$cnf( $equal(unit,e1) )],[refute_15_74,refute_15_75]) ).
cnf(refute_15_77,plain,
( op(e1,e2) = e2
| unit = e0
| unit = e2
| unit = e3
| unit = e4 ),
inference(resolve,[$cnf( $equal(op(unit,e2),e2) )],[refute_15_73,refute_15_76]) ).
cnf(refute_15_78,plain,
e0 = op(e1,op(op(e1,e1),op(e1,e1))),
inference(canonicalize,[],[normalize_15_18]) ).
cnf(refute_15_79,plain,
op(e1,op(op(e1,e1),op(e1,e1))) = op(e1,op(op(e1,e1),op(e1,e1))),
introduced(tautology,[refl,[$fot(op(e1,op(op(e1,e1),op(e1,e1))))]]) ).
cnf(refute_15_80,plain,
( op(e1,op(op(e1,e1),op(e1,e1))) != op(e1,op(op(e1,e1),op(e1,e1)))
| op(op(e1,e1),op(e1,e1)) != e2
| op(e1,op(op(e1,e1),op(e1,e1))) = op(e1,e2) ),
introduced(tautology,[equality,[$cnf( $equal(op(e1,op(op(e1,e1),op(e1,e1))),op(e1,op(op(e1,e1),op(e1,e1)))) ),[1,1],$fot(e2)]]) ).
cnf(refute_15_81,plain,
( op(op(e1,e1),op(e1,e1)) != e2
| op(e1,op(op(e1,e1),op(e1,e1))) = op(e1,e2) ),
inference(resolve,[$cnf( $equal(op(e1,op(op(e1,e1),op(e1,e1))),op(e1,op(op(e1,e1),op(e1,e1)))) )],[refute_15_79,refute_15_80]) ).
cnf(refute_15_82,plain,
op(e1,op(op(e1,e1),op(e1,e1))) = op(e1,e2),
inference(resolve,[$cnf( $equal(op(op(e1,e1),op(e1,e1)),e2) )],[refute_15_16,refute_15_81]) ).
cnf(refute_15_83,plain,
( e0 != op(e1,op(op(e1,e1),op(e1,e1)))
| op(e1,op(op(e1,e1),op(e1,e1))) != op(e1,e2)
| e0 = op(e1,e2) ),
introduced(tautology,[equality,[$cnf( ~ $equal(e0,op(e1,e2)) ),[0],$fot(op(e1,op(op(e1,e1),op(e1,e1))))]]) ).
cnf(refute_15_84,plain,
( e0 != op(e1,op(op(e1,e1),op(e1,e1)))
| e0 = op(e1,e2) ),
inference(resolve,[$cnf( $equal(op(e1,op(op(e1,e1),op(e1,e1))),op(e1,e2)) )],[refute_15_82,refute_15_83]) ).
cnf(refute_15_85,plain,
e0 = op(e1,e2),
inference(resolve,[$cnf( $equal(e0,op(e1,op(op(e1,e1),op(e1,e1)))) )],[refute_15_78,refute_15_84]) ).
cnf(refute_15_86,plain,
( e0 != op(e1,e2)
| op(e1,e2) = e0 ),
inference(subst,[],[refute_15_7:[bind(X,$fot(e0)),bind(Y,$fot(op(e1,e2)))]]) ).
cnf(refute_15_87,plain,
op(e1,e2) = e0,
inference(resolve,[$cnf( $equal(e0,op(e1,e2)) )],[refute_15_85,refute_15_86]) ).
cnf(refute_15_88,plain,
( op(e1,e2) != e0
| op(e1,e2) != e2
| e0 = e2 ),
introduced(tautology,[equality,[$cnf( $equal(op(e1,e2),e2) ),[0],$fot(e0)]]) ).
cnf(refute_15_89,plain,
( op(e1,e2) != e2
| e0 = e2 ),
inference(resolve,[$cnf( $equal(op(e1,e2),e0) )],[refute_15_87,refute_15_88]) ).
cnf(refute_15_90,plain,
( e0 = e2
| unit = e0
| unit = e2
| unit = e3
| unit = e4 ),
inference(resolve,[$cnf( $equal(op(e1,e2),e2) )],[refute_15_77,refute_15_89]) ).
cnf(refute_15_91,plain,
e0 != e2,
inference(canonicalize,[],[normalize_15_19]) ).
cnf(refute_15_92,plain,
( unit = e0
| unit = e2
| unit = e3
| unit = e4 ),
inference(resolve,[$cnf( $equal(e0,e2) )],[refute_15_90,refute_15_91]) ).
cnf(refute_15_93,plain,
( op(unit,e2) != e2
| unit != e4
| op(e4,e2) = e2 ),
introduced(tautology,[equality,[$cnf( $equal(op(unit,e2),e2) ),[0,0],$fot(e4)]]) ).
cnf(refute_15_94,plain,
( op(unit,e2) != e2
| op(e4,e2) = e2
| unit = e0
| unit = e2
| unit = e3 ),
inference(resolve,[$cnf( $equal(unit,e4) )],[refute_15_92,refute_15_93]) ).
cnf(refute_15_95,plain,
( op(e4,e2) = e2
| unit = e0
| unit = e2
| unit = e3 ),
inference(resolve,[$cnf( $equal(op(unit,e2),e2) )],[refute_15_73,refute_15_94]) ).
cnf(refute_15_96,plain,
op(e4,e2) != op(e4,e4),
inference(canonicalize,[],[normalize_15_20]) ).
cnf(refute_15_97,plain,
( op(e4,e2) != e2
| op(e4,e4) != e2
| op(e4,e2) = op(e4,e4) ),
introduced(tautology,[equality,[$cnf( ~ $equal(op(e4,e2),op(e4,e4)) ),[1],$fot(e2)]]) ).
cnf(refute_15_98,plain,
( op(e4,e2) != e2
| op(e4,e2) = op(e4,e4) ),
inference(resolve,[$cnf( $equal(op(e4,e4),e2) )],[refute_15_53,refute_15_97]) ).
cnf(refute_15_99,plain,
op(e4,e2) != e2,
inference(resolve,[$cnf( $equal(op(e4,e2),op(e4,e4)) )],[refute_15_98,refute_15_96]) ).
cnf(refute_15_100,plain,
( unit = e0
| unit = e2
| unit = e3 ),
inference(resolve,[$cnf( $equal(op(e4,e2),e2) )],[refute_15_95,refute_15_99]) ).
cnf(refute_15_101,plain,
( op(unit,e3) != e3
| unit != e2
| op(e2,e3) = e3 ),
introduced(tautology,[equality,[$cnf( $equal(op(unit,e3),e3) ),[0,0],$fot(e2)]]) ).
cnf(refute_15_102,plain,
( op(unit,e3) != e3
| op(e2,e3) = e3
| unit = e0
| unit = e3 ),
inference(resolve,[$cnf( $equal(unit,e2) )],[refute_15_100,refute_15_101]) ).
cnf(refute_15_103,plain,
( op(e2,e3) = e3
| unit = e0
| unit = e3 ),
inference(resolve,[$cnf( $equal(op(unit,e3),e3) )],[refute_15_1,refute_15_102]) ).
cnf(refute_15_104,plain,
op(e2,e2) != op(e2,e3),
inference(canonicalize,[],[normalize_15_21]) ).
cnf(refute_15_105,plain,
( e3 != op(e2,e3)
| op(e2,e2) != e3
| op(e2,e2) = op(e2,e3) ),
introduced(tautology,[equality,[$cnf( $equal(op(e2,e2),e3) ),[1],$fot(op(e2,e3))]]) ).
cnf(refute_15_106,plain,
( e3 != op(e2,e3)
| op(e2,e2) = op(e2,e3) ),
inference(resolve,[$cnf( $equal(op(e2,e2),e3) )],[refute_15_34,refute_15_105]) ).
cnf(refute_15_107,plain,
e3 != op(e2,e3),
inference(resolve,[$cnf( $equal(op(e2,e2),op(e2,e3)) )],[refute_15_106,refute_15_104]) ).
cnf(refute_15_108,plain,
( op(e2,e3) != e3
| e3 = op(e2,e3) ),
inference(subst,[],[refute_15_7:[bind(X,$fot(op(e2,e3))),bind(Y,$fot(e3))]]) ).
cnf(refute_15_109,plain,
op(e2,e3) != e3,
inference(resolve,[$cnf( $equal(e3,op(e2,e3)) )],[refute_15_108,refute_15_107]) ).
cnf(refute_15_110,plain,
( unit = e0
| unit = e3 ),
inference(resolve,[$cnf( $equal(op(e2,e3),e3) )],[refute_15_103,refute_15_109]) ).
cnf(refute_15_111,plain,
( op(e1,unit) != e1
| unit != e3
| op(e1,e3) = e1 ),
introduced(tautology,[equality,[$cnf( $equal(op(e1,unit),e1) ),[0,1],$fot(e3)]]) ).
cnf(refute_15_112,plain,
( op(e1,unit) != e1
| op(e1,e3) = e1
| unit = e0 ),
inference(resolve,[$cnf( $equal(unit,e3) )],[refute_15_110,refute_15_111]) ).
cnf(refute_15_113,plain,
( op(e1,e3) = e1
| unit = e0 ),
inference(resolve,[$cnf( $equal(op(e1,unit),e1) )],[refute_15_72,refute_15_112]) ).
cnf(refute_15_114,plain,
( e1 != e1
| op(e1,e3) != e1
| op(e1,e3) = e1 ),
introduced(tautology,[equality,[$cnf( $equal(op(e1,e3),e1) ),[0,0],$fot(e1)]]) ).
cnf(refute_15_115,plain,
( e1 != e1
| op(e1,e3) = e1
| unit = e0 ),
inference(resolve,[$cnf( $equal(op(e1,e3),e1) )],[refute_15_113,refute_15_114]) ).
cnf(refute_15_116,plain,
( e1 != e1
| op(e0,e0) = e1
| unit = e0 ),
inference(resolve,[$cnf( $equal(op(e1,e3),e1) )],[refute_15_115,refute_15_71]) ).
cnf(refute_15_117,plain,
e1 = e1,
introduced(tautology,[refl,[$fot(e1)]]) ).
cnf(refute_15_118,plain,
( op(e0,e0) = e1
| unit = e0 ),
inference(resolve,[$cnf( $equal(e1,e1) )],[refute_15_117,refute_15_116]) ).
cnf(refute_15_119,plain,
op(e3,e0) != op(e3,e3),
inference(canonicalize,[],[normalize_15_22]) ).
cnf(refute_15_120,plain,
( op(e0,e0) = e0
| op(e1,e1) = e0
| op(e2,e2) = e0
| op(e3,e3) = e0
| op(e4,e4) = e0 ),
inference(canonicalize,[],[normalize_15_23]) ).
cnf(refute_15_121,plain,
( op(e1,e1) != e0
| op(e1,e1) != e4
| e4 = e0 ),
introduced(tautology,[equality,[$cnf( $equal(op(e1,e1),e0) ),[0],$fot(e4)]]) ).
cnf(refute_15_122,plain,
( op(e1,e1) != e0
| e4 = e0 ),
inference(resolve,[$cnf( $equal(op(e1,e1),e4) )],[refute_15_9,refute_15_121]) ).
cnf(refute_15_123,plain,
( e4 = e0
| op(e0,e0) = e0
| op(e2,e2) = e0
| op(e3,e3) = e0
| op(e4,e4) = e0 ),
inference(resolve,[$cnf( $equal(op(e1,e1),e0) )],[refute_15_120,refute_15_122]) ).
cnf(refute_15_124,plain,
( op(e2,e2) != e0
| op(e2,e2) != e3
| e3 = e0 ),
introduced(tautology,[equality,[$cnf( $equal(op(e2,e2),e0) ),[0],$fot(e3)]]) ).
cnf(refute_15_125,plain,
( op(e2,e2) != e0
| e3 = e0 ),
inference(resolve,[$cnf( $equal(op(e2,e2),e3) )],[refute_15_34,refute_15_124]) ).
cnf(refute_15_126,plain,
( e3 = e0
| e4 = e0
| op(e0,e0) = e0
| op(e3,e3) = e0
| op(e4,e4) = e0 ),
inference(resolve,[$cnf( $equal(op(e2,e2),e0) )],[refute_15_123,refute_15_125]) ).
cnf(refute_15_127,plain,
( op(e4,e4) != e0
| op(e4,e4) != e2
| e2 = e0 ),
introduced(tautology,[equality,[$cnf( $equal(op(e4,e4),e0) ),[0],$fot(e2)]]) ).
cnf(refute_15_128,plain,
( op(e4,e4) != e0
| e2 = e0 ),
inference(resolve,[$cnf( $equal(op(e4,e4),e2) )],[refute_15_53,refute_15_127]) ).
cnf(refute_15_129,plain,
( e2 = e0
| e3 = e0
| e4 = e0
| op(e0,e0) = e0
| op(e3,e3) = e0 ),
inference(resolve,[$cnf( $equal(op(e4,e4),e0) )],[refute_15_126,refute_15_128]) ).
cnf(refute_15_130,plain,
( e2 != e0
| e0 = e2 ),
inference(subst,[],[refute_15_7:[bind(X,$fot(e2)),bind(Y,$fot(e0))]]) ).
cnf(refute_15_131,plain,
e2 != e0,
inference(resolve,[$cnf( $equal(e0,e2) )],[refute_15_130,refute_15_91]) ).
cnf(refute_15_132,plain,
( e3 = e0
| e4 = e0
| op(e0,e0) = e0
| op(e3,e3) = e0 ),
inference(resolve,[$cnf( $equal(e2,e0) )],[refute_15_129,refute_15_131]) ).
cnf(refute_15_133,plain,
e0 != e3,
inference(canonicalize,[],[normalize_15_24]) ).
cnf(refute_15_134,plain,
( e3 != e0
| e0 = e3 ),
inference(subst,[],[refute_15_7:[bind(X,$fot(e3)),bind(Y,$fot(e0))]]) ).
cnf(refute_15_135,plain,
e3 != e0,
inference(resolve,[$cnf( $equal(e0,e3) )],[refute_15_134,refute_15_133]) ).
cnf(refute_15_136,plain,
( e4 = e0
| op(e0,e0) = e0
| op(e3,e3) = e0 ),
inference(resolve,[$cnf( $equal(e3,e0) )],[refute_15_132,refute_15_135]) ).
cnf(refute_15_137,plain,
e0 != e4,
inference(canonicalize,[],[normalize_15_25]) ).
cnf(refute_15_138,plain,
( e4 != e0
| e0 = e4 ),
inference(subst,[],[refute_15_7:[bind(X,$fot(e4)),bind(Y,$fot(e0))]]) ).
cnf(refute_15_139,plain,
e4 != e0,
inference(resolve,[$cnf( $equal(e0,e4) )],[refute_15_138,refute_15_137]) ).
cnf(refute_15_140,plain,
( op(e0,e0) = e0
| op(e3,e3) = e0 ),
inference(resolve,[$cnf( $equal(e4,e0) )],[refute_15_136,refute_15_139]) ).
cnf(refute_15_141,plain,
( op(e3,e0) != e0
| op(e3,e3) != e0
| op(e3,e0) = op(e3,e3) ),
introduced(tautology,[equality,[$cnf( ~ $equal(op(e3,e0),op(e3,e3)) ),[1],$fot(e0)]]) ).
cnf(refute_15_142,plain,
( op(e3,e0) != e0
| op(e0,e0) = e0
| op(e3,e0) = op(e3,e3) ),
inference(resolve,[$cnf( $equal(op(e3,e3),e0) )],[refute_15_140,refute_15_141]) ).
cnf(refute_15_143,plain,
( op(e3,e0) != e0
| op(e0,e0) = e0 ),
inference(resolve,[$cnf( $equal(op(e3,e0),op(e3,e3)) )],[refute_15_142,refute_15_119]) ).
cnf(refute_15_144,plain,
op(unit,e0) = e0,
inference(canonicalize,[],[normalize_15_26]) ).
cnf(refute_15_145,plain,
( op(unit,e0) != e0
| unit != e3
| op(e3,e0) = e0 ),
introduced(tautology,[equality,[$cnf( $equal(op(unit,e0),e0) ),[0,0],$fot(e3)]]) ).
cnf(refute_15_146,plain,
( op(unit,e0) != e0
| op(e3,e0) = e0
| unit = e0 ),
inference(resolve,[$cnf( $equal(unit,e3) )],[refute_15_110,refute_15_145]) ).
cnf(refute_15_147,plain,
( op(e3,e0) = e0
| unit = e0 ),
inference(resolve,[$cnf( $equal(op(unit,e0),e0) )],[refute_15_144,refute_15_146]) ).
cnf(refute_15_148,plain,
( e0 != e0
| op(e3,e0) != e0
| op(e3,e0) = e0 ),
introduced(tautology,[equality,[$cnf( $equal(op(e3,e0),e0) ),[0,1],$fot(e0)]]) ).
cnf(refute_15_149,plain,
( e0 != e0
| op(e3,e0) = e0
| unit = e0 ),
inference(resolve,[$cnf( $equal(op(e3,e0),e0) )],[refute_15_147,refute_15_148]) ).
cnf(refute_15_150,plain,
( e0 != e0
| op(e0,e0) = e0
| unit = e0 ),
inference(resolve,[$cnf( $equal(op(e3,e0),e0) )],[refute_15_149,refute_15_143]) ).
cnf(refute_15_151,plain,
e0 = e0,
introduced(tautology,[refl,[$fot(e0)]]) ).
cnf(refute_15_152,plain,
( op(e0,e0) = e0
| unit = e0 ),
inference(resolve,[$cnf( $equal(e0,e0) )],[refute_15_151,refute_15_150]) ).
cnf(refute_15_153,plain,
( op(e0,e0) != e0
| op(e0,e0) != e1
| e0 = e1 ),
introduced(tautology,[equality,[$cnf( $equal(op(e0,e0),e1) ),[0],$fot(e0)]]) ).
cnf(refute_15_154,plain,
( op(e0,e0) != e1
| e0 = e1
| unit = e0 ),
inference(resolve,[$cnf( $equal(op(e0,e0),e0) )],[refute_15_152,refute_15_153]) ).
cnf(refute_15_155,plain,
( e0 = e1
| unit = e0 ),
inference(resolve,[$cnf( $equal(op(e0,e0),e1) )],[refute_15_118,refute_15_154]) ).
cnf(refute_15_156,plain,
e0 != e1,
inference(canonicalize,[],[normalize_15_27]) ).
cnf(refute_15_157,plain,
unit = e0,
inference(resolve,[$cnf( $equal(e0,e1) )],[refute_15_155,refute_15_156]) ).
cnf(refute_15_158,plain,
op(unit,e3) = op(unit,e3),
introduced(tautology,[refl,[$fot(op(unit,e3))]]) ).
cnf(refute_15_159,plain,
( op(unit,e3) != op(unit,e3)
| unit != e0
| op(unit,e3) = op(e0,e3) ),
introduced(tautology,[equality,[$cnf( $equal(op(unit,e3),op(unit,e3)) ),[1,0],$fot(e0)]]) ).
cnf(refute_15_160,plain,
( unit != e0
| op(unit,e3) = op(e0,e3) ),
inference(resolve,[$cnf( $equal(op(unit,e3),op(unit,e3)) )],[refute_15_158,refute_15_159]) ).
cnf(refute_15_161,plain,
op(unit,e3) = op(e0,e3),
inference(resolve,[$cnf( $equal(unit,e0) )],[refute_15_157,refute_15_160]) ).
cnf(refute_15_162,plain,
( op(unit,e3) != e3
| op(unit,e3) != op(e0,e3)
| op(e0,e3) = e3 ),
introduced(tautology,[equality,[$cnf( $equal(op(unit,e3),e3) ),[0],$fot(op(e0,e3))]]) ).
cnf(refute_15_163,plain,
( op(unit,e3) != e3
| op(e0,e3) = e3 ),
inference(resolve,[$cnf( $equal(op(unit,e3),op(e0,e3)) )],[refute_15_161,refute_15_162]) ).
cnf(refute_15_164,plain,
op(e0,e3) = e3,
inference(resolve,[$cnf( $equal(op(unit,e3),e3) )],[refute_15_1,refute_15_163]) ).
cnf(refute_15_165,plain,
( e3 != op(e3,e0)
| op(e0,e3) != e3
| op(e0,e3) = op(e3,e0) ),
introduced(tautology,[equality,[$cnf( $equal(op(e0,e3),e3) ),[1],$fot(op(e3,e0))]]) ).
cnf(refute_15_166,plain,
( e3 != op(e3,e0)
| op(e0,e3) = op(e3,e0) ),
inference(resolve,[$cnf( $equal(op(e0,e3),e3) )],[refute_15_164,refute_15_165]) ).
cnf(refute_15_167,plain,
op(e3,unit) = e3,
inference(canonicalize,[],[normalize_15_28]) ).
cnf(refute_15_168,plain,
op(e3,unit) = op(e3,unit),
introduced(tautology,[refl,[$fot(op(e3,unit))]]) ).
cnf(refute_15_169,plain,
( op(e3,unit) != op(e3,unit)
| unit != e0
| op(e3,unit) = op(e3,e0) ),
introduced(tautology,[equality,[$cnf( $equal(op(e3,unit),op(e3,unit)) ),[1,1],$fot(e0)]]) ).
cnf(refute_15_170,plain,
( unit != e0
| op(e3,unit) = op(e3,e0) ),
inference(resolve,[$cnf( $equal(op(e3,unit),op(e3,unit)) )],[refute_15_168,refute_15_169]) ).
cnf(refute_15_171,plain,
op(e3,unit) = op(e3,e0),
inference(resolve,[$cnf( $equal(unit,e0) )],[refute_15_157,refute_15_170]) ).
cnf(refute_15_172,plain,
( op(e3,unit) != e3
| op(e3,unit) != op(e3,e0)
| op(e3,e0) = e3 ),
introduced(tautology,[equality,[$cnf( $equal(op(e3,unit),e3) ),[0],$fot(op(e3,e0))]]) ).
cnf(refute_15_173,plain,
( op(e3,unit) != e3
| op(e3,e0) = e3 ),
inference(resolve,[$cnf( $equal(op(e3,unit),op(e3,e0)) )],[refute_15_171,refute_15_172]) ).
cnf(refute_15_174,plain,
op(e3,e0) = e3,
inference(resolve,[$cnf( $equal(op(e3,unit),e3) )],[refute_15_167,refute_15_173]) ).
cnf(refute_15_175,plain,
( e3 != e3
| op(e3,e0) != e3
| e3 = op(e3,e0) ),
introduced(tautology,[equality,[$cnf( ~ $equal(e3,op(e3,e0)) ),[1],$fot(e3)]]) ).
cnf(refute_15_176,plain,
( e3 != e3
| e3 = op(e3,e0) ),
inference(resolve,[$cnf( $equal(op(e3,e0),e3) )],[refute_15_174,refute_15_175]) ).
cnf(refute_15_177,plain,
( e3 != e3
| op(e0,e3) = op(e3,e0) ),
inference(resolve,[$cnf( $equal(e3,op(e3,e0)) )],[refute_15_176,refute_15_166]) ).
cnf(refute_15_178,plain,
e3 != e3,
inference(resolve,[$cnf( $equal(op(e0,e3),op(e3,e0)) )],[refute_15_177,refute_15_0]) ).
cnf(refute_15_179,plain,
e3 = e3,
introduced(tautology,[refl,[$fot(e3)]]) ).
cnf(refute_15_180,plain,
$false,
inference(resolve,[$cnf( $equal(e3,e3) )],[refute_15_179,refute_15_178]) ).
fof(negate_16_0,plain,
~ ( ( ( op(e0,e0) = e0
| op(e1,e1) = e0
| op(e2,e2) = e0
| op(e3,e3) = e0
| op(e4,e4) = e0 )
& ( op(e0,e0) = e1
| op(e1,e1) = e1
| op(e2,e2) = e1
| op(e3,e3) = e1
| op(e4,e4) = e1 )
& ( op(e0,e0) = e2
| op(e1,e1) = e2
| op(e2,e2) = e2
| op(e3,e3) = e2
| op(e4,e4) = e2 )
& ( op(e0,e0) = e3
| op(e1,e1) = e3
| op(e2,e2) = e3
| op(e3,e3) = e3
| op(e4,e4) = e3 )
& ( op(e0,e0) = e4
| op(e1,e1) = e4
| op(e2,e2) = e4
| op(e3,e3) = e4
| op(e4,e4) = e4 )
& ~ ( op(e0,e0) != op(e0,e0)
& op(op(e0,e0),e0) = e0
& op(op(e0,e0),e0) != e0 )
& ~ ( op(e1,e0) != op(e0,e1)
& op(op(e0,e1),e1) = e0
& op(op(e0,e1),e0) != e1 )
& ~ ( op(e2,e0) != op(e0,e2)
& op(op(e0,e2),e2) = e0
& op(op(e0,e2),e0) != e2 )
& ~ ( op(e3,e0) != op(e0,e3)
& op(op(e0,e3),e3) = e0
& op(op(e0,e3),e0) != e3 )
& ~ ( op(e4,e0) != op(e0,e4)
& op(op(e0,e4),e4) = e0
& op(op(e0,e4),e0) != e4 )
& ~ ( op(e0,e1) != op(e1,e0)
& op(op(e1,e0),e0) = e1
& op(op(e1,e0),e1) != e0 )
& ~ ( op(e1,e1) != op(e1,e1)
& op(op(e1,e1),e1) = e1
& op(op(e1,e1),e1) != e1 )
& ~ ( op(e2,e1) != op(e1,e2)
& op(op(e1,e2),e2) = e1
& op(op(e1,e2),e1) != e2 )
& ~ ( op(e3,e1) != op(e1,e3)
& op(op(e1,e3),e3) = e1
& op(op(e1,e3),e1) != e3 )
& ~ ( op(e4,e1) != op(e1,e4)
& op(op(e1,e4),e4) = e1
& op(op(e1,e4),e1) != e4 )
& ~ ( op(e0,e2) != op(e2,e0)
& op(op(e2,e0),e0) = e2
& op(op(e2,e0),e2) != e0 )
& ~ ( op(e1,e2) != op(e2,e1)
& op(op(e2,e1),e1) = e2
& op(op(e2,e1),e2) != e1 )
& ~ ( op(e2,e2) != op(e2,e2)
& op(op(e2,e2),e2) = e2
& op(op(e2,e2),e2) != e2 )
& ~ ( op(e3,e2) != op(e2,e3)
& op(op(e2,e3),e3) = e2
& op(op(e2,e3),e2) != e3 )
& ~ ( op(e4,e2) != op(e2,e4)
& op(op(e2,e4),e4) = e2
& op(op(e2,e4),e2) != e4 )
& ~ ( op(e0,e3) != op(e3,e0)
& op(op(e3,e0),e0) = e3
& op(op(e3,e0),e3) != e0 )
& op(e1,e3) != op(e3,e1)
& op(op(e3,e1),e1) = e3 )
=> op(op(e3,e1),e3) = e1 ),
inference(negate,[],[subgoal_16]) ).
fof(normalize_16_0,plain,
( ( op(e0,e0) = e0
| op(e0,e0) = e1
| op(e0,e0) = e2
| op(e0,e0) = e3
| op(e0,e0) = e4 )
& ( op(e0,e1) = e0
| op(e0,e1) = e1
| op(e0,e1) = e2
| op(e0,e1) = e3
| op(e0,e1) = e4 )
& ( op(e0,e2) = e0
| op(e0,e2) = e1
| op(e0,e2) = e2
| op(e0,e2) = e3
| op(e0,e2) = e4 )
& ( op(e0,e3) = e0
| op(e0,e3) = e1
| op(e0,e3) = e2
| op(e0,e3) = e3
| op(e0,e3) = e4 )
& ( op(e0,e4) = e0
| op(e0,e4) = e1
| op(e0,e4) = e2
| op(e0,e4) = e3
| op(e0,e4) = e4 )
& ( op(e1,e0) = e0
| op(e1,e0) = e1
| op(e1,e0) = e2
| op(e1,e0) = e3
| op(e1,e0) = e4 )
& ( op(e1,e1) = e0
| op(e1,e1) = e1
| op(e1,e1) = e2
| op(e1,e1) = e3
| op(e1,e1) = e4 )
& ( op(e1,e2) = e0
| op(e1,e2) = e1
| op(e1,e2) = e2
| op(e1,e2) = e3
| op(e1,e2) = e4 )
& ( op(e1,e3) = e0
| op(e1,e3) = e1
| op(e1,e3) = e2
| op(e1,e3) = e3
| op(e1,e3) = e4 )
& ( op(e1,e4) = e0
| op(e1,e4) = e1
| op(e1,e4) = e2
| op(e1,e4) = e3
| op(e1,e4) = e4 )
& ( op(e2,e0) = e0
| op(e2,e0) = e1
| op(e2,e0) = e2
| op(e2,e0) = e3
| op(e2,e0) = e4 )
& ( op(e2,e1) = e0
| op(e2,e1) = e1
| op(e2,e1) = e2
| op(e2,e1) = e3
| op(e2,e1) = e4 )
& ( op(e2,e2) = e0
| op(e2,e2) = e1
| op(e2,e2) = e2
| op(e2,e2) = e3
| op(e2,e2) = e4 )
& ( op(e2,e3) = e0
| op(e2,e3) = e1
| op(e2,e3) = e2
| op(e2,e3) = e3
| op(e2,e3) = e4 )
& ( op(e2,e4) = e0
| op(e2,e4) = e1
| op(e2,e4) = e2
| op(e2,e4) = e3
| op(e2,e4) = e4 )
& ( op(e3,e0) = e0
| op(e3,e0) = e1
| op(e3,e0) = e2
| op(e3,e0) = e3
| op(e3,e0) = e4 )
& ( op(e3,e1) = e0
| op(e3,e1) = e1
| op(e3,e1) = e2
| op(e3,e1) = e3
| op(e3,e1) = e4 )
& ( op(e3,e2) = e0
| op(e3,e2) = e1
| op(e3,e2) = e2
| op(e3,e2) = e3
| op(e3,e2) = e4 )
& ( op(e3,e3) = e0
| op(e3,e3) = e1
| op(e3,e3) = e2
| op(e3,e3) = e3
| op(e3,e3) = e4 )
& ( op(e3,e4) = e0
| op(e3,e4) = e1
| op(e3,e4) = e2
| op(e3,e4) = e3
| op(e3,e4) = e4 )
& ( op(e4,e0) = e0
| op(e4,e0) = e1
| op(e4,e0) = e2
| op(e4,e0) = e3
| op(e4,e0) = e4 )
& ( op(e4,e1) = e0
| op(e4,e1) = e1
| op(e4,e1) = e2
| op(e4,e1) = e3
| op(e4,e1) = e4 )
& ( op(e4,e2) = e0
| op(e4,e2) = e1
| op(e4,e2) = e2
| op(e4,e2) = e3
| op(e4,e2) = e4 )
& ( op(e4,e3) = e0
| op(e4,e3) = e1
| op(e4,e3) = e2
| op(e4,e3) = e3
| op(e4,e3) = e4 )
& ( op(e4,e4) = e0
| op(e4,e4) = e1
| op(e4,e4) = e2
| op(e4,e4) = e3
| op(e4,e4) = e4 ) ),
inference(canonicalize,[],[ax1]) ).
fof(normalize_16_1,plain,
( op(e3,e1) = e0
| op(e3,e1) = e1
| op(e3,e1) = e2
| op(e3,e1) = e3
| op(e3,e1) = e4 ),
inference(conjunct,[],[normalize_16_0]) ).
fof(normalize_16_2,plain,
( op(e0,e0) != op(e0,e1)
& op(e0,e0) != op(e0,e2)
& op(e0,e0) != op(e0,e3)
& op(e0,e0) != op(e0,e4)
& op(e0,e0) != op(e1,e0)
& op(e0,e0) != op(e2,e0)
& op(e0,e0) != op(e3,e0)
& op(e0,e0) != op(e4,e0)
& op(e0,e1) != op(e0,e2)
& op(e0,e1) != op(e0,e3)
& op(e0,e1) != op(e0,e4)
& op(e0,e1) != op(e1,e1)
& op(e0,e1) != op(e2,e1)
& op(e0,e1) != op(e3,e1)
& op(e0,e1) != op(e4,e1)
& op(e0,e2) != op(e0,e3)
& op(e0,e2) != op(e0,e4)
& op(e0,e2) != op(e1,e2)
& op(e0,e2) != op(e2,e2)
& op(e0,e2) != op(e3,e2)
& op(e0,e2) != op(e4,e2)
& op(e0,e3) != op(e0,e4)
& op(e0,e3) != op(e1,e3)
& op(e0,e3) != op(e2,e3)
& op(e0,e3) != op(e3,e3)
& op(e0,e3) != op(e4,e3)
& op(e0,e4) != op(e1,e4)
& op(e0,e4) != op(e2,e4)
& op(e0,e4) != op(e3,e4)
& op(e0,e4) != op(e4,e4)
& op(e1,e0) != op(e1,e1)
& op(e1,e0) != op(e1,e2)
& op(e1,e0) != op(e1,e3)
& op(e1,e0) != op(e1,e4)
& op(e1,e0) != op(e2,e0)
& op(e1,e0) != op(e3,e0)
& op(e1,e0) != op(e4,e0)
& op(e1,e1) != op(e1,e2)
& op(e1,e1) != op(e1,e3)
& op(e1,e1) != op(e1,e4)
& op(e1,e1) != op(e2,e1)
& op(e1,e1) != op(e3,e1)
& op(e1,e1) != op(e4,e1)
& op(e1,e2) != op(e1,e3)
& op(e1,e2) != op(e1,e4)
& op(e1,e2) != op(e2,e2)
& op(e1,e2) != op(e3,e2)
& op(e1,e2) != op(e4,e2)
& op(e1,e3) != op(e1,e4)
& op(e1,e3) != op(e2,e3)
& op(e1,e3) != op(e3,e3)
& op(e1,e3) != op(e4,e3)
& op(e1,e4) != op(e2,e4)
& op(e1,e4) != op(e3,e4)
& op(e1,e4) != op(e4,e4)
& op(e2,e0) != op(e2,e1)
& op(e2,e0) != op(e2,e2)
& op(e2,e0) != op(e2,e3)
& op(e2,e0) != op(e2,e4)
& op(e2,e0) != op(e3,e0)
& op(e2,e0) != op(e4,e0)
& op(e2,e1) != op(e2,e2)
& op(e2,e1) != op(e2,e3)
& op(e2,e1) != op(e2,e4)
& op(e2,e1) != op(e3,e1)
& op(e2,e1) != op(e4,e1)
& op(e2,e2) != op(e2,e3)
& op(e2,e2) != op(e2,e4)
& op(e2,e2) != op(e3,e2)
& op(e2,e2) != op(e4,e2)
& op(e2,e3) != op(e2,e4)
& op(e2,e3) != op(e3,e3)
& op(e2,e3) != op(e4,e3)
& op(e2,e4) != op(e3,e4)
& op(e2,e4) != op(e4,e4)
& op(e3,e0) != op(e3,e1)
& op(e3,e0) != op(e3,e2)
& op(e3,e0) != op(e3,e3)
& op(e3,e0) != op(e3,e4)
& op(e3,e0) != op(e4,e0)
& op(e3,e1) != op(e3,e2)
& op(e3,e1) != op(e3,e3)
& op(e3,e1) != op(e3,e4)
& op(e3,e1) != op(e4,e1)
& op(e3,e2) != op(e3,e3)
& op(e3,e2) != op(e3,e4)
& op(e3,e2) != op(e4,e2)
& op(e3,e3) != op(e3,e4)
& op(e3,e3) != op(e4,e3)
& op(e3,e4) != op(e4,e4)
& op(e4,e0) != op(e4,e1)
& op(e4,e0) != op(e4,e2)
& op(e4,e0) != op(e4,e3)
& op(e4,e0) != op(e4,e4)
& op(e4,e1) != op(e4,e2)
& op(e4,e1) != op(e4,e3)
& op(e4,e1) != op(e4,e4)
& op(e4,e2) != op(e4,e3)
& op(e4,e2) != op(e4,e4)
& op(e4,e3) != op(e4,e4) ),
inference(canonicalize,[],[ax4]) ).
fof(normalize_16_3,plain,
op(e1,e1) != op(e3,e1),
inference(conjunct,[],[normalize_16_2]) ).
fof(normalize_16_4,plain,
( e0 = op(e1,op(op(e1,e1),op(e1,e1)))
& e2 = op(op(e1,e1),op(e1,e1))
& e3 = op(op(op(e1,e1),op(e1,e1)),op(op(e1,e1),op(e1,e1)))
& e4 = op(e1,e1) ),
inference(canonicalize,[],[ax6]) ).
fof(normalize_16_5,plain,
e4 = op(e1,e1),
inference(conjunct,[],[normalize_16_4]) ).
fof(normalize_16_6,plain,
op(e2,e1) != op(e3,e1),
inference(conjunct,[],[normalize_16_2]) ).
fof(normalize_16_7,plain,
( op(e2,e1) = e0
| op(e2,e1) = e1
| op(e2,e1) = e2
| op(e2,e1) = e3
| op(e2,e1) = e4 ),
inference(conjunct,[],[normalize_16_0]) ).
fof(normalize_16_8,plain,
op(e2,e1) != op(e2,e2),
inference(conjunct,[],[normalize_16_2]) ).
fof(normalize_16_9,plain,
e3 = op(op(op(e1,e1),op(e1,e1)),op(op(e1,e1),op(e1,e1))),
inference(conjunct,[],[normalize_16_4]) ).
fof(normalize_16_10,plain,
e2 = op(op(e1,e1),op(e1,e1)),
inference(conjunct,[],[normalize_16_4]) ).
fof(normalize_16_11,plain,
op(e1,e1) != op(e2,e1),
inference(conjunct,[],[normalize_16_2]) ).
fof(normalize_16_12,plain,
op(e0,e1) != op(e2,e1),
inference(conjunct,[],[normalize_16_2]) ).
fof(normalize_16_13,plain,
( op(e0,unit) = e0
& op(e1,unit) = e1
& op(e2,unit) = e2
& op(e3,unit) = e3
& op(e4,unit) = e4
& op(unit,e0) = e0
& op(unit,e1) = e1
& op(unit,e2) = e2
& op(unit,e3) = e3
& op(unit,e4) = e4
& ( unit = e0
| unit = e1
| unit = e2
| unit = e3
| unit = e4 ) ),
inference(canonicalize,[],[ax2]) ).
fof(normalize_16_14,plain,
op(unit,e1) = e1,
inference(conjunct,[],[normalize_16_13]) ).
fof(normalize_16_15,plain,
( op(e1,e3) != op(e3,e1)
& op(op(e3,e1),e3) != e1
& op(op(e3,e1),e1) = e3
& ( op(op(e0,e1),e1) != e0
| op(e1,e0) = op(e0,e1)
| op(op(e0,e1),e0) = e1 )
& ( op(op(e0,e2),e2) != e0
| op(e2,e0) = op(e0,e2)
| op(op(e0,e2),e0) = e2 )
& ( op(op(e0,e3),e3) != e0
| op(e3,e0) = op(e0,e3)
| op(op(e0,e3),e0) = e3 )
& ( op(op(e0,e4),e4) != e0
| op(e4,e0) = op(e0,e4)
| op(op(e0,e4),e0) = e4 )
& ( op(op(e1,e0),e0) != e1
| op(e0,e1) = op(e1,e0)
| op(op(e1,e0),e1) = e0 )
& ( op(op(e1,e2),e2) != e1
| op(e2,e1) = op(e1,e2)
| op(op(e1,e2),e1) = e2 )
& ( op(op(e1,e3),e3) != e1
| op(e3,e1) = op(e1,e3)
| op(op(e1,e3),e1) = e3 )
& ( op(op(e1,e4),e4) != e1
| op(e4,e1) = op(e1,e4)
| op(op(e1,e4),e1) = e4 )
& ( op(op(e2,e0),e0) != e2
| op(e0,e2) = op(e2,e0)
| op(op(e2,e0),e2) = e0 )
& ( op(op(e2,e1),e1) != e2
| op(e1,e2) = op(e2,e1)
| op(op(e2,e1),e2) = e1 )
& ( op(op(e2,e3),e3) != e2
| op(e3,e2) = op(e2,e3)
| op(op(e2,e3),e2) = e3 )
& ( op(op(e2,e4),e4) != e2
| op(e4,e2) = op(e2,e4)
| op(op(e2,e4),e2) = e4 )
& ( op(op(e3,e0),e0) != e3
| op(e0,e3) = op(e3,e0)
| op(op(e3,e0),e3) = e0 )
& ( op(e0,e0) = e0
| op(e1,e1) = e0
| op(e2,e2) = e0
| op(e3,e3) = e0
| op(e4,e4) = e0 )
& ( op(e0,e0) = e1
| op(e1,e1) = e1
| op(e2,e2) = e1
| op(e3,e3) = e1
| op(e4,e4) = e1 )
& ( op(e0,e0) = e2
| op(e1,e1) = e2
| op(e2,e2) = e2
| op(e3,e3) = e2
| op(e4,e4) = e2 )
& ( op(e0,e0) = e3
| op(e1,e1) = e3
| op(e2,e2) = e3
| op(e3,e3) = e3
| op(e4,e4) = e3 )
& ( op(e0,e0) = e4
| op(e1,e1) = e4
| op(e2,e2) = e4
| op(e3,e3) = e4
| op(e4,e4) = e4 ) ),
inference(canonicalize,[],[negate_16_0]) ).
fof(normalize_16_16,plain,
op(op(e3,e1),e1) = e3,
inference(conjunct,[],[normalize_16_15]) ).
fof(normalize_16_17,plain,
op(unit,e4) = e4,
inference(conjunct,[],[normalize_16_13]) ).
fof(normalize_16_18,plain,
op(e3,unit) = e3,
inference(conjunct,[],[normalize_16_13]) ).
fof(normalize_16_19,plain,
( unit = e0
| unit = e1
| unit = e2
| unit = e3
| unit = e4 ),
inference(conjunct,[],[normalize_16_13]) ).
fof(normalize_16_20,plain,
op(e1,e1) != op(e1,e4),
inference(conjunct,[],[normalize_16_2]) ).
fof(normalize_16_21,plain,
op(e2,e2) != op(e3,e2),
inference(conjunct,[],[normalize_16_2]) ).
fof(normalize_16_22,plain,
( e0 != e1
& e0 != e2
& e0 != e3
& e0 != e4
& e1 != e2
& e1 != e3
& e1 != e4
& e2 != e3
& e2 != e4
& e3 != e4 ),
inference(canonicalize,[],[ax5]) ).
fof(normalize_16_23,plain,
e2 != e4,
inference(conjunct,[],[normalize_16_22]) ).
fof(normalize_16_24,plain,
e3 != e4,
inference(conjunct,[],[normalize_16_22]) ).
fof(normalize_16_25,plain,
op(e2,e0) != op(e2,e1),
inference(conjunct,[],[normalize_16_2]) ).
fof(normalize_16_26,plain,
op(e2,unit) = e2,
inference(conjunct,[],[normalize_16_13]) ).
fof(normalize_16_27,plain,
op(e3,e1) != op(e3,e3),
inference(conjunct,[],[normalize_16_2]) ).
fof(normalize_16_28,plain,
( op(e0,e0) = e1
| op(e1,e1) = e1
| op(e2,e2) = e1
| op(e3,e3) = e1
| op(e4,e4) = e1 ),
inference(conjunct,[],[normalize_16_15]) ).
fof(normalize_16_29,plain,
e1 != e2,
inference(conjunct,[],[normalize_16_22]) ).
fof(normalize_16_30,plain,
e1 != e3,
inference(conjunct,[],[normalize_16_22]) ).
fof(normalize_16_31,plain,
e1 != e4,
inference(conjunct,[],[normalize_16_22]) ).
fof(normalize_16_32,plain,
op(e0,unit) = e0,
inference(conjunct,[],[normalize_16_13]) ).
fof(normalize_16_33,plain,
e0 != e1,
inference(conjunct,[],[normalize_16_22]) ).
fof(normalize_16_34,plain,
op(e1,e3) != op(e3,e1),
inference(conjunct,[],[normalize_16_15]) ).
fof(normalize_16_35,plain,
( ( op(e0,e0) = e0
| op(e0,e1) = e0
| op(e0,e2) = e0
| op(e0,e3) = e0
| op(e0,e4) = e0 )
& ( op(e0,e0) = e0
| op(e1,e0) = e0
| op(e2,e0) = e0
| op(e3,e0) = e0
| op(e4,e0) = e0 )
& ( op(e0,e0) = e1
| op(e0,e1) = e1
| op(e0,e2) = e1
| op(e0,e3) = e1
| op(e0,e4) = e1 )
& ( op(e0,e0) = e1
| op(e1,e0) = e1
| op(e2,e0) = e1
| op(e3,e0) = e1
| op(e4,e0) = e1 )
& ( op(e0,e0) = e2
| op(e0,e1) = e2
| op(e0,e2) = e2
| op(e0,e3) = e2
| op(e0,e4) = e2 )
& ( op(e0,e0) = e2
| op(e1,e0) = e2
| op(e2,e0) = e2
| op(e3,e0) = e2
| op(e4,e0) = e2 )
& ( op(e0,e0) = e3
| op(e0,e1) = e3
| op(e0,e2) = e3
| op(e0,e3) = e3
| op(e0,e4) = e3 )
& ( op(e0,e0) = e3
| op(e1,e0) = e3
| op(e2,e0) = e3
| op(e3,e0) = e3
| op(e4,e0) = e3 )
& ( op(e0,e0) = e4
| op(e0,e1) = e4
| op(e0,e2) = e4
| op(e0,e3) = e4
| op(e0,e4) = e4 )
& ( op(e0,e0) = e4
| op(e1,e0) = e4
| op(e2,e0) = e4
| op(e3,e0) = e4
| op(e4,e0) = e4 )
& ( op(e0,e1) = e0
| op(e1,e1) = e0
| op(e2,e1) = e0
| op(e3,e1) = e0
| op(e4,e1) = e0 )
& ( op(e0,e1) = e1
| op(e1,e1) = e1
| op(e2,e1) = e1
| op(e3,e1) = e1
| op(e4,e1) = e1 )
& ( op(e0,e1) = e2
| op(e1,e1) = e2
| op(e2,e1) = e2
| op(e3,e1) = e2
| op(e4,e1) = e2 )
& ( op(e0,e1) = e3
| op(e1,e1) = e3
| op(e2,e1) = e3
| op(e3,e1) = e3
| op(e4,e1) = e3 )
& ( op(e0,e1) = e4
| op(e1,e1) = e4
| op(e2,e1) = e4
| op(e3,e1) = e4
| op(e4,e1) = e4 )
& ( op(e0,e2) = e0
| op(e1,e2) = e0
| op(e2,e2) = e0
| op(e3,e2) = e0
| op(e4,e2) = e0 )
& ( op(e0,e2) = e1
| op(e1,e2) = e1
| op(e2,e2) = e1
| op(e3,e2) = e1
| op(e4,e2) = e1 )
& ( op(e0,e2) = e2
| op(e1,e2) = e2
| op(e2,e2) = e2
| op(e3,e2) = e2
| op(e4,e2) = e2 )
& ( op(e0,e2) = e3
| op(e1,e2) = e3
| op(e2,e2) = e3
| op(e3,e2) = e3
| op(e4,e2) = e3 )
& ( op(e0,e2) = e4
| op(e1,e2) = e4
| op(e2,e2) = e4
| op(e3,e2) = e4
| op(e4,e2) = e4 )
& ( op(e0,e3) = e0
| op(e1,e3) = e0
| op(e2,e3) = e0
| op(e3,e3) = e0
| op(e4,e3) = e0 )
& ( op(e0,e3) = e1
| op(e1,e3) = e1
| op(e2,e3) = e1
| op(e3,e3) = e1
| op(e4,e3) = e1 )
& ( op(e0,e3) = e2
| op(e1,e3) = e2
| op(e2,e3) = e2
| op(e3,e3) = e2
| op(e4,e3) = e2 )
& ( op(e0,e3) = e3
| op(e1,e3) = e3
| op(e2,e3) = e3
| op(e3,e3) = e3
| op(e4,e3) = e3 )
& ( op(e0,e3) = e4
| op(e1,e3) = e4
| op(e2,e3) = e4
| op(e3,e3) = e4
| op(e4,e3) = e4 )
& ( op(e0,e4) = e0
| op(e1,e4) = e0
| op(e2,e4) = e0
| op(e3,e4) = e0
| op(e4,e4) = e0 )
& ( op(e0,e4) = e1
| op(e1,e4) = e1
| op(e2,e4) = e1
| op(e3,e4) = e1
| op(e4,e4) = e1 )
& ( op(e0,e4) = e2
| op(e1,e4) = e2
| op(e2,e4) = e2
| op(e3,e4) = e2
| op(e4,e4) = e2 )
& ( op(e0,e4) = e3
| op(e1,e4) = e3
| op(e2,e4) = e3
| op(e3,e4) = e3
| op(e4,e4) = e3 )
& ( op(e0,e4) = e4
| op(e1,e4) = e4
| op(e2,e4) = e4
| op(e3,e4) = e4
| op(e4,e4) = e4 )
& ( op(e1,e0) = e0
| op(e1,e1) = e0
| op(e1,e2) = e0
| op(e1,e3) = e0
| op(e1,e4) = e0 )
& ( op(e1,e0) = e1
| op(e1,e1) = e1
| op(e1,e2) = e1
| op(e1,e3) = e1
| op(e1,e4) = e1 )
& ( op(e1,e0) = e2
| op(e1,e1) = e2
| op(e1,e2) = e2
| op(e1,e3) = e2
| op(e1,e4) = e2 )
& ( op(e1,e0) = e3
| op(e1,e1) = e3
| op(e1,e2) = e3
| op(e1,e3) = e3
| op(e1,e4) = e3 )
& ( op(e1,e0) = e4
| op(e1,e1) = e4
| op(e1,e2) = e4
| op(e1,e3) = e4
| op(e1,e4) = e4 )
& ( op(e2,e0) = e0
| op(e2,e1) = e0
| op(e2,e2) = e0
| op(e2,e3) = e0
| op(e2,e4) = e0 )
& ( op(e2,e0) = e1
| op(e2,e1) = e1
| op(e2,e2) = e1
| op(e2,e3) = e1
| op(e2,e4) = e1 )
& ( op(e2,e0) = e2
| op(e2,e1) = e2
| op(e2,e2) = e2
| op(e2,e3) = e2
| op(e2,e4) = e2 )
& ( op(e2,e0) = e3
| op(e2,e1) = e3
| op(e2,e2) = e3
| op(e2,e3) = e3
| op(e2,e4) = e3 )
& ( op(e2,e0) = e4
| op(e2,e1) = e4
| op(e2,e2) = e4
| op(e2,e3) = e4
| op(e2,e4) = e4 )
& ( op(e3,e0) = e0
| op(e3,e1) = e0
| op(e3,e2) = e0
| op(e3,e3) = e0
| op(e3,e4) = e0 )
& ( op(e3,e0) = e1
| op(e3,e1) = e1
| op(e3,e2) = e1
| op(e3,e3) = e1
| op(e3,e4) = e1 )
& ( op(e3,e0) = e2
| op(e3,e1) = e2
| op(e3,e2) = e2
| op(e3,e3) = e2
| op(e3,e4) = e2 )
& ( op(e3,e0) = e3
| op(e3,e1) = e3
| op(e3,e2) = e3
| op(e3,e3) = e3
| op(e3,e4) = e3 )
& ( op(e3,e0) = e4
| op(e3,e1) = e4
| op(e3,e2) = e4
| op(e3,e3) = e4
| op(e3,e4) = e4 )
& ( op(e4,e0) = e0
| op(e4,e1) = e0
| op(e4,e2) = e0
| op(e4,e3) = e0
| op(e4,e4) = e0 )
& ( op(e4,e0) = e1
| op(e4,e1) = e1
| op(e4,e2) = e1
| op(e4,e3) = e1
| op(e4,e4) = e1 )
& ( op(e4,e0) = e2
| op(e4,e1) = e2
| op(e4,e2) = e2
| op(e4,e3) = e2
| op(e4,e4) = e2 )
& ( op(e4,e0) = e3
| op(e4,e1) = e3
| op(e4,e2) = e3
| op(e4,e3) = e3
| op(e4,e4) = e3 )
& ( op(e4,e0) = e4
| op(e4,e1) = e4
| op(e4,e2) = e4
| op(e4,e3) = e4
| op(e4,e4) = e4 ) ),
inference(canonicalize,[],[ax3]) ).
fof(normalize_16_36,plain,
( op(e0,e3) = e2
| op(e1,e3) = e2
| op(e2,e3) = e2
| op(e3,e3) = e2
| op(e4,e3) = e2 ),
inference(conjunct,[],[normalize_16_35]) ).
fof(normalize_16_37,plain,
op(unit,e3) = e3,
inference(conjunct,[],[normalize_16_13]) ).
fof(normalize_16_38,plain,
( op(e2,e0) = e4
| op(e2,e1) = e4
| op(e2,e2) = e4
| op(e2,e3) = e4
| op(e2,e4) = e4 ),
inference(conjunct,[],[normalize_16_35]) ).
fof(normalize_16_39,plain,
op(e0,e4) != op(e2,e4),
inference(conjunct,[],[normalize_16_2]) ).
fof(normalize_16_40,plain,
e2 != e3,
inference(conjunct,[],[normalize_16_22]) ).
fof(normalize_16_41,plain,
op(e4,e3) != op(e4,e4),
inference(conjunct,[],[normalize_16_2]) ).
fof(normalize_16_42,plain,
op(e3,e0) != op(e3,e1),
inference(conjunct,[],[normalize_16_2]) ).
cnf(refute_16_0,plain,
( op(e3,e1) = e0
| op(e3,e1) = e1
| op(e3,e1) = e2
| op(e3,e1) = e3
| op(e3,e1) = e4 ),
inference(canonicalize,[],[normalize_16_1]) ).
cnf(refute_16_1,plain,
op(e1,e1) != op(e3,e1),
inference(canonicalize,[],[normalize_16_3]) ).
cnf(refute_16_2,plain,
e4 = op(e1,e1),
inference(canonicalize,[],[normalize_16_5]) ).
cnf(refute_16_3,plain,
X = X,
introduced(tautology,[refl,[$fot(X)]]) ).
cnf(refute_16_4,plain,
( X != X
| X != Y
| Y = X ),
introduced(tautology,[equality,[$cnf( $equal(X,X) ),[0],$fot(Y)]]) ).
cnf(refute_16_5,plain,
( X != Y
| Y = X ),
inference(resolve,[$cnf( $equal(X,X) )],[refute_16_3,refute_16_4]) ).
cnf(refute_16_6,plain,
( e4 != op(e1,e1)
| op(e1,e1) = e4 ),
inference(subst,[],[refute_16_5:[bind(X,$fot(e4)),bind(Y,$fot(op(e1,e1)))]]) ).
cnf(refute_16_7,plain,
op(e1,e1) = e4,
inference(resolve,[$cnf( $equal(e4,op(e1,e1)) )],[refute_16_2,refute_16_6]) ).
cnf(refute_16_8,plain,
( e4 != op(e3,e1)
| op(e1,e1) != e4
| op(e1,e1) = op(e3,e1) ),
introduced(tautology,[equality,[$cnf( $equal(op(e1,e1),e4) ),[1],$fot(op(e3,e1))]]) ).
cnf(refute_16_9,plain,
( e4 != op(e3,e1)
| op(e1,e1) = op(e3,e1) ),
inference(resolve,[$cnf( $equal(op(e1,e1),e4) )],[refute_16_7,refute_16_8]) ).
cnf(refute_16_10,plain,
e4 != op(e3,e1),
inference(resolve,[$cnf( $equal(op(e1,e1),op(e3,e1)) )],[refute_16_9,refute_16_1]) ).
cnf(refute_16_11,plain,
( op(e3,e1) != e4
| e4 = op(e3,e1) ),
inference(subst,[],[refute_16_5:[bind(X,$fot(op(e3,e1))),bind(Y,$fot(e4))]]) ).
cnf(refute_16_12,plain,
op(e3,e1) != e4,
inference(resolve,[$cnf( $equal(e4,op(e3,e1)) )],[refute_16_11,refute_16_10]) ).
cnf(refute_16_13,plain,
( op(e3,e1) = e0
| op(e3,e1) = e1
| op(e3,e1) = e2
| op(e3,e1) = e3 ),
inference(resolve,[$cnf( $equal(op(e3,e1),e4) )],[refute_16_0,refute_16_12]) ).
cnf(refute_16_14,plain,
op(e2,e1) != op(e3,e1),
inference(canonicalize,[],[normalize_16_6]) ).
cnf(refute_16_15,plain,
( op(e2,e1) = e0
| op(e2,e1) = e1
| op(e2,e1) = e2
| op(e2,e1) = e3
| op(e2,e1) = e4 ),
inference(canonicalize,[],[normalize_16_7]) ).
cnf(refute_16_16,plain,
op(e2,e1) != op(e2,e2),
inference(canonicalize,[],[normalize_16_8]) ).
cnf(refute_16_17,plain,
e3 = op(op(op(e1,e1),op(e1,e1)),op(op(e1,e1),op(e1,e1))),
inference(canonicalize,[],[normalize_16_9]) ).
cnf(refute_16_18,plain,
e2 = op(op(e1,e1),op(e1,e1)),
inference(canonicalize,[],[normalize_16_10]) ).
cnf(refute_16_19,plain,
( e2 != op(op(e1,e1),op(e1,e1))
| op(op(e1,e1),op(e1,e1)) = e2 ),
inference(subst,[],[refute_16_5:[bind(X,$fot(e2)),bind(Y,$fot(op(op(e1,e1),op(e1,e1))))]]) ).
cnf(refute_16_20,plain,
op(op(e1,e1),op(e1,e1)) = e2,
inference(resolve,[$cnf( $equal(e2,op(op(e1,e1),op(e1,e1))) )],[refute_16_18,refute_16_19]) ).
cnf(refute_16_21,plain,
op(e2,op(op(e1,e1),op(e1,e1))) = op(e2,op(op(e1,e1),op(e1,e1))),
introduced(tautology,[refl,[$fot(op(e2,op(op(e1,e1),op(e1,e1))))]]) ).
cnf(refute_16_22,plain,
( op(e2,op(op(e1,e1),op(e1,e1))) != op(e2,op(op(e1,e1),op(e1,e1)))
| op(op(e1,e1),op(e1,e1)) != e2
| op(e2,op(op(e1,e1),op(e1,e1))) = op(e2,e2) ),
introduced(tautology,[equality,[$cnf( $equal(op(e2,op(op(e1,e1),op(e1,e1))),op(e2,op(op(e1,e1),op(e1,e1)))) ),[1,1],$fot(e2)]]) ).
cnf(refute_16_23,plain,
( op(op(e1,e1),op(e1,e1)) != e2
| op(e2,op(op(e1,e1),op(e1,e1))) = op(e2,e2) ),
inference(resolve,[$cnf( $equal(op(e2,op(op(e1,e1),op(e1,e1))),op(e2,op(op(e1,e1),op(e1,e1)))) )],[refute_16_21,refute_16_22]) ).
cnf(refute_16_24,plain,
op(e2,op(op(e1,e1),op(e1,e1))) = op(e2,e2),
inference(resolve,[$cnf( $equal(op(op(e1,e1),op(e1,e1)),e2) )],[refute_16_20,refute_16_23]) ).
cnf(refute_16_25,plain,
op(op(op(e1,e1),op(e1,e1)),op(op(e1,e1),op(e1,e1))) = op(op(op(e1,e1),op(e1,e1)),op(op(e1,e1),op(e1,e1))),
introduced(tautology,[refl,[$fot(op(op(op(e1,e1),op(e1,e1)),op(op(e1,e1),op(e1,e1))))]]) ).
cnf(refute_16_26,plain,
( op(op(e1,e1),op(e1,e1)) != e2
| op(op(op(e1,e1),op(e1,e1)),op(op(e1,e1),op(e1,e1))) != op(op(op(e1,e1),op(e1,e1)),op(op(e1,e1),op(e1,e1)))
| op(op(op(e1,e1),op(e1,e1)),op(op(e1,e1),op(e1,e1))) = op(e2,op(op(e1,e1),op(e1,e1))) ),
introduced(tautology,[equality,[$cnf( $equal(op(op(op(e1,e1),op(e1,e1)),op(op(e1,e1),op(e1,e1))),op(op(op(e1,e1),op(e1,e1)),op(op(e1,e1),op(e1,e1)))) ),[1,0],$fot(e2)]]) ).
cnf(refute_16_27,plain,
( op(op(e1,e1),op(e1,e1)) != e2
| op(op(op(e1,e1),op(e1,e1)),op(op(e1,e1),op(e1,e1))) = op(e2,op(op(e1,e1),op(e1,e1))) ),
inference(resolve,[$cnf( $equal(op(op(op(e1,e1),op(e1,e1)),op(op(e1,e1),op(e1,e1))),op(op(op(e1,e1),op(e1,e1)),op(op(e1,e1),op(e1,e1)))) )],[refute_16_25,refute_16_26]) ).
cnf(refute_16_28,plain,
op(op(op(e1,e1),op(e1,e1)),op(op(e1,e1),op(e1,e1))) = op(e2,op(op(e1,e1),op(e1,e1))),
inference(resolve,[$cnf( $equal(op(op(e1,e1),op(e1,e1)),e2) )],[refute_16_20,refute_16_27]) ).
cnf(refute_16_29,plain,
( Y != X
| Y != Z
| X = Z ),
introduced(tautology,[equality,[$cnf( $equal(Y,Z) ),[0],$fot(X)]]) ).
cnf(refute_16_30,plain,
( X != Y
| Y != Z
| X = Z ),
inference(resolve,[$cnf( $equal(Y,X) )],[refute_16_5,refute_16_29]) ).
cnf(refute_16_31,plain,
( op(e2,op(op(e1,e1),op(e1,e1))) != op(e2,e2)
| op(op(op(e1,e1),op(e1,e1)),op(op(e1,e1),op(e1,e1))) != op(e2,op(op(e1,e1),op(e1,e1)))
| op(op(op(e1,e1),op(e1,e1)),op(op(e1,e1),op(e1,e1))) = op(e2,e2) ),
inference(subst,[],[refute_16_30:[bind(X,$fot(op(op(op(e1,e1),op(e1,e1)),op(op(e1,e1),op(e1,e1))))),bind(Y,$fot(op(e2,op(op(e1,e1),op(e1,e1))))),bind(Z,$fot(op(e2,e2)))]]) ).
cnf(refute_16_32,plain,
( op(e2,op(op(e1,e1),op(e1,e1))) != op(e2,e2)
| op(op(op(e1,e1),op(e1,e1)),op(op(e1,e1),op(e1,e1))) = op(e2,e2) ),
inference(resolve,[$cnf( $equal(op(op(op(e1,e1),op(e1,e1)),op(op(e1,e1),op(e1,e1))),op(e2,op(op(e1,e1),op(e1,e1)))) )],[refute_16_28,refute_16_31]) ).
cnf(refute_16_33,plain,
op(op(op(e1,e1),op(e1,e1)),op(op(e1,e1),op(e1,e1))) = op(e2,e2),
inference(resolve,[$cnf( $equal(op(e2,op(op(e1,e1),op(e1,e1))),op(e2,e2)) )],[refute_16_24,refute_16_32]) ).
cnf(refute_16_34,plain,
( e3 != op(op(op(e1,e1),op(e1,e1)),op(op(e1,e1),op(e1,e1)))
| op(op(op(e1,e1),op(e1,e1)),op(op(e1,e1),op(e1,e1))) != op(e2,e2)
| e3 = op(e2,e2) ),
introduced(tautology,[equality,[$cnf( ~ $equal(e3,op(e2,e2)) ),[0],$fot(op(op(op(e1,e1),op(e1,e1)),op(op(e1,e1),op(e1,e1))))]]) ).
cnf(refute_16_35,plain,
( e3 != op(op(op(e1,e1),op(e1,e1)),op(op(e1,e1),op(e1,e1)))
| e3 = op(e2,e2) ),
inference(resolve,[$cnf( $equal(op(op(op(e1,e1),op(e1,e1)),op(op(e1,e1),op(e1,e1))),op(e2,e2)) )],[refute_16_33,refute_16_34]) ).
cnf(refute_16_36,plain,
e3 = op(e2,e2),
inference(resolve,[$cnf( $equal(e3,op(op(op(e1,e1),op(e1,e1)),op(op(e1,e1),op(e1,e1)))) )],[refute_16_17,refute_16_35]) ).
cnf(refute_16_37,plain,
( e3 != op(e2,e2)
| op(e2,e2) = e3 ),
inference(subst,[],[refute_16_5:[bind(X,$fot(e3)),bind(Y,$fot(op(e2,e2)))]]) ).
cnf(refute_16_38,plain,
op(e2,e2) = e3,
inference(resolve,[$cnf( $equal(e3,op(e2,e2)) )],[refute_16_36,refute_16_37]) ).
cnf(refute_16_39,plain,
( op(e2,e1) != e3
| op(e2,e2) != e3
| op(e2,e1) = op(e2,e2) ),
introduced(tautology,[equality,[$cnf( ~ $equal(op(e2,e1),op(e2,e2)) ),[1],$fot(e3)]]) ).
cnf(refute_16_40,plain,
( op(e2,e1) != e3
| op(e2,e1) = op(e2,e2) ),
inference(resolve,[$cnf( $equal(op(e2,e2),e3) )],[refute_16_38,refute_16_39]) ).
cnf(refute_16_41,plain,
op(e2,e1) != e3,
inference(resolve,[$cnf( $equal(op(e2,e1),op(e2,e2)) )],[refute_16_40,refute_16_16]) ).
cnf(refute_16_42,plain,
( op(e2,e1) = e0
| op(e2,e1) = e1
| op(e2,e1) = e2
| op(e2,e1) = e4 ),
inference(resolve,[$cnf( $equal(op(e2,e1),e3) )],[refute_16_15,refute_16_41]) ).
cnf(refute_16_43,plain,
op(e1,e1) != op(e2,e1),
inference(canonicalize,[],[normalize_16_11]) ).
cnf(refute_16_44,plain,
( e4 != op(e2,e1)
| op(e1,e1) != e4
| op(e1,e1) = op(e2,e1) ),
introduced(tautology,[equality,[$cnf( $equal(op(e1,e1),e4) ),[1],$fot(op(e2,e1))]]) ).
cnf(refute_16_45,plain,
( e4 != op(e2,e1)
| op(e1,e1) = op(e2,e1) ),
inference(resolve,[$cnf( $equal(op(e1,e1),e4) )],[refute_16_7,refute_16_44]) ).
cnf(refute_16_46,plain,
e4 != op(e2,e1),
inference(resolve,[$cnf( $equal(op(e1,e1),op(e2,e1)) )],[refute_16_45,refute_16_43]) ).
cnf(refute_16_47,plain,
( op(e2,e1) != e4
| e4 = op(e2,e1) ),
inference(subst,[],[refute_16_5:[bind(X,$fot(op(e2,e1))),bind(Y,$fot(e4))]]) ).
cnf(refute_16_48,plain,
op(e2,e1) != e4,
inference(resolve,[$cnf( $equal(e4,op(e2,e1)) )],[refute_16_47,refute_16_46]) ).
cnf(refute_16_49,plain,
( op(e2,e1) = e0
| op(e2,e1) = e1
| op(e2,e1) = e2 ),
inference(resolve,[$cnf( $equal(op(e2,e1),e4) )],[refute_16_42,refute_16_48]) ).
cnf(refute_16_50,plain,
op(e0,e1) != op(e2,e1),
inference(canonicalize,[],[normalize_16_12]) ).
cnf(refute_16_51,plain,
op(unit,e1) = e1,
inference(canonicalize,[],[normalize_16_14]) ).
cnf(refute_16_52,plain,
op(op(e3,e1),e1) = e3,
inference(canonicalize,[],[normalize_16_16]) ).
cnf(refute_16_53,plain,
op(unit,e4) = e4,
inference(canonicalize,[],[normalize_16_17]) ).
cnf(refute_16_54,plain,
op(e3,unit) = e3,
inference(canonicalize,[],[normalize_16_18]) ).
cnf(refute_16_55,plain,
( unit = e0
| unit = e1
| unit = e2
| unit = e3
| unit = e4 ),
inference(canonicalize,[],[normalize_16_19]) ).
cnf(refute_16_56,plain,
( op(unit,e4) != e4
| unit != e1
| op(e1,e4) = e4 ),
introduced(tautology,[equality,[$cnf( $equal(op(unit,e4),e4) ),[0,0],$fot(e1)]]) ).
cnf(refute_16_57,plain,
( op(unit,e4) != e4
| op(e1,e4) = e4
| unit = e0
| unit = e2
| unit = e3
| unit = e4 ),
inference(resolve,[$cnf( $equal(unit,e1) )],[refute_16_55,refute_16_56]) ).
cnf(refute_16_58,plain,
( op(e1,e4) = e4
| unit = e0
| unit = e2
| unit = e3
| unit = e4 ),
inference(resolve,[$cnf( $equal(op(unit,e4),e4) )],[refute_16_53,refute_16_57]) ).
cnf(refute_16_59,plain,
op(e1,e1) != op(e1,e4),
inference(canonicalize,[],[normalize_16_20]) ).
cnf(refute_16_60,plain,
( e4 != op(e1,e4)
| op(e1,e1) != e4
| op(e1,e1) = op(e1,e4) ),
introduced(tautology,[equality,[$cnf( $equal(op(e1,e1),e4) ),[1],$fot(op(e1,e4))]]) ).
cnf(refute_16_61,plain,
( e4 != op(e1,e4)
| op(e1,e1) = op(e1,e4) ),
inference(resolve,[$cnf( $equal(op(e1,e1),e4) )],[refute_16_7,refute_16_60]) ).
cnf(refute_16_62,plain,
e4 != op(e1,e4),
inference(resolve,[$cnf( $equal(op(e1,e1),op(e1,e4)) )],[refute_16_61,refute_16_59]) ).
cnf(refute_16_63,plain,
( op(e1,e4) != e4
| e4 = op(e1,e4) ),
inference(subst,[],[refute_16_5:[bind(X,$fot(op(e1,e4))),bind(Y,$fot(e4))]]) ).
cnf(refute_16_64,plain,
op(e1,e4) != e4,
inference(resolve,[$cnf( $equal(e4,op(e1,e4)) )],[refute_16_63,refute_16_62]) ).
cnf(refute_16_65,plain,
( unit = e0
| unit = e2
| unit = e3
| unit = e4 ),
inference(resolve,[$cnf( $equal(op(e1,e4),e4) )],[refute_16_58,refute_16_64]) ).
cnf(refute_16_66,plain,
( op(e3,unit) != e3
| unit != e2
| op(e3,e2) = e3 ),
introduced(tautology,[equality,[$cnf( $equal(op(e3,unit),e3) ),[0,1],$fot(e2)]]) ).
cnf(refute_16_67,plain,
( op(e3,unit) != e3
| op(e3,e2) = e3
| unit = e0
| unit = e3
| unit = e4 ),
inference(resolve,[$cnf( $equal(unit,e2) )],[refute_16_65,refute_16_66]) ).
cnf(refute_16_68,plain,
( op(e3,e2) = e3
| unit = e0
| unit = e3
| unit = e4 ),
inference(resolve,[$cnf( $equal(op(e3,unit),e3) )],[refute_16_54,refute_16_67]) ).
cnf(refute_16_69,plain,
op(e2,e2) != op(e3,e2),
inference(canonicalize,[],[normalize_16_21]) ).
cnf(refute_16_70,plain,
( e3 != op(e3,e2)
| op(e2,e2) != e3
| op(e2,e2) = op(e3,e2) ),
introduced(tautology,[equality,[$cnf( $equal(op(e2,e2),e3) ),[1],$fot(op(e3,e2))]]) ).
cnf(refute_16_71,plain,
( e3 != op(e3,e2)
| op(e2,e2) = op(e3,e2) ),
inference(resolve,[$cnf( $equal(op(e2,e2),e3) )],[refute_16_38,refute_16_70]) ).
cnf(refute_16_72,plain,
e3 != op(e3,e2),
inference(resolve,[$cnf( $equal(op(e2,e2),op(e3,e2)) )],[refute_16_71,refute_16_69]) ).
cnf(refute_16_73,plain,
( op(e3,e2) != e3
| e3 = op(e3,e2) ),
inference(subst,[],[refute_16_5:[bind(X,$fot(op(e3,e2))),bind(Y,$fot(e3))]]) ).
cnf(refute_16_74,plain,
op(e3,e2) != e3,
inference(resolve,[$cnf( $equal(e3,op(e3,e2)) )],[refute_16_73,refute_16_72]) ).
cnf(refute_16_75,plain,
( unit = e0
| unit = e3
| unit = e4 ),
inference(resolve,[$cnf( $equal(op(e3,e2),e3) )],[refute_16_68,refute_16_74]) ).
cnf(refute_16_76,plain,
( op(unit,e4) != e4
| unit != e4
| op(e4,e4) = e4 ),
introduced(tautology,[equality,[$cnf( $equal(op(unit,e4),e4) ),[0,0],$fot(e4)]]) ).
cnf(refute_16_77,plain,
( op(unit,e4) != e4
| op(e4,e4) = e4
| unit = e0
| unit = e3 ),
inference(resolve,[$cnf( $equal(unit,e4) )],[refute_16_75,refute_16_76]) ).
cnf(refute_16_78,plain,
( op(e4,e4) = e4
| unit = e0
| unit = e3 ),
inference(resolve,[$cnf( $equal(op(unit,e4),e4) )],[refute_16_53,refute_16_77]) ).
cnf(refute_16_79,plain,
op(e4,op(e1,e1)) = op(e4,op(e1,e1)),
introduced(tautology,[refl,[$fot(op(e4,op(e1,e1)))]]) ).
cnf(refute_16_80,plain,
( op(e1,e1) != e4
| op(e4,op(e1,e1)) != op(e4,op(e1,e1))
| op(e4,op(e1,e1)) = op(e4,e4) ),
introduced(tautology,[equality,[$cnf( $equal(op(e4,op(e1,e1)),op(e4,op(e1,e1))) ),[1,1],$fot(e4)]]) ).
cnf(refute_16_81,plain,
( op(e1,e1) != e4
| op(e4,op(e1,e1)) = op(e4,e4) ),
inference(resolve,[$cnf( $equal(op(e4,op(e1,e1)),op(e4,op(e1,e1))) )],[refute_16_79,refute_16_80]) ).
cnf(refute_16_82,plain,
op(e4,op(e1,e1)) = op(e4,e4),
inference(resolve,[$cnf( $equal(op(e1,e1),e4) )],[refute_16_7,refute_16_81]) ).
cnf(refute_16_83,plain,
op(op(e1,e1),op(e1,e1)) = op(op(e1,e1),op(e1,e1)),
introduced(tautology,[refl,[$fot(op(op(e1,e1),op(e1,e1)))]]) ).
cnf(refute_16_84,plain,
( op(e1,e1) != e4
| op(op(e1,e1),op(e1,e1)) != op(op(e1,e1),op(e1,e1))
| op(op(e1,e1),op(e1,e1)) = op(e4,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(e4)]]) ).
cnf(refute_16_85,plain,
( op(e1,e1) != e4
| op(op(e1,e1),op(e1,e1)) = op(e4,op(e1,e1)) ),
inference(resolve,[$cnf( $equal(op(op(e1,e1),op(e1,e1)),op(op(e1,e1),op(e1,e1))) )],[refute_16_83,refute_16_84]) ).
cnf(refute_16_86,plain,
op(op(e1,e1),op(e1,e1)) = op(e4,op(e1,e1)),
inference(resolve,[$cnf( $equal(op(e1,e1),e4) )],[refute_16_7,refute_16_85]) ).
cnf(refute_16_87,plain,
( op(e4,op(e1,e1)) != op(e4,e4)
| op(op(e1,e1),op(e1,e1)) != op(e4,op(e1,e1))
| op(op(e1,e1),op(e1,e1)) = op(e4,e4) ),
inference(subst,[],[refute_16_30:[bind(X,$fot(op(op(e1,e1),op(e1,e1)))),bind(Y,$fot(op(e4,op(e1,e1)))),bind(Z,$fot(op(e4,e4)))]]) ).
cnf(refute_16_88,plain,
( op(e4,op(e1,e1)) != op(e4,e4)
| op(op(e1,e1),op(e1,e1)) = op(e4,e4) ),
inference(resolve,[$cnf( $equal(op(op(e1,e1),op(e1,e1)),op(e4,op(e1,e1))) )],[refute_16_86,refute_16_87]) ).
cnf(refute_16_89,plain,
op(op(e1,e1),op(e1,e1)) = op(e4,e4),
inference(resolve,[$cnf( $equal(op(e4,op(e1,e1)),op(e4,e4)) )],[refute_16_82,refute_16_88]) ).
cnf(refute_16_90,plain,
( e2 != op(op(e1,e1),op(e1,e1))
| op(op(e1,e1),op(e1,e1)) != op(e4,e4)
| e2 = op(e4,e4) ),
introduced(tautology,[equality,[$cnf( ~ $equal(e2,op(e4,e4)) ),[0],$fot(op(op(e1,e1),op(e1,e1)))]]) ).
cnf(refute_16_91,plain,
( e2 != op(op(e1,e1),op(e1,e1))
| e2 = op(e4,e4) ),
inference(resolve,[$cnf( $equal(op(op(e1,e1),op(e1,e1)),op(e4,e4)) )],[refute_16_89,refute_16_90]) ).
cnf(refute_16_92,plain,
e2 = op(e4,e4),
inference(resolve,[$cnf( $equal(e2,op(op(e1,e1),op(e1,e1))) )],[refute_16_18,refute_16_91]) ).
cnf(refute_16_93,plain,
( e2 != op(e4,e4)
| op(e4,e4) = e2 ),
inference(subst,[],[refute_16_5:[bind(X,$fot(e2)),bind(Y,$fot(op(e4,e4)))]]) ).
cnf(refute_16_94,plain,
op(e4,e4) = e2,
inference(resolve,[$cnf( $equal(e2,op(e4,e4)) )],[refute_16_92,refute_16_93]) ).
cnf(refute_16_95,plain,
( op(e4,e4) != e2
| op(e4,e4) != e4
| e2 = e4 ),
introduced(tautology,[equality,[$cnf( $equal(op(e4,e4),e4) ),[0],$fot(e2)]]) ).
cnf(refute_16_96,plain,
( op(e4,e4) != e4
| e2 = e4 ),
inference(resolve,[$cnf( $equal(op(e4,e4),e2) )],[refute_16_94,refute_16_95]) ).
cnf(refute_16_97,plain,
( e2 = e4
| unit = e0
| unit = e3 ),
inference(resolve,[$cnf( $equal(op(e4,e4),e4) )],[refute_16_78,refute_16_96]) ).
cnf(refute_16_98,plain,
e2 != e4,
inference(canonicalize,[],[normalize_16_23]) ).
cnf(refute_16_99,plain,
( unit = e0
| unit = e3 ),
inference(resolve,[$cnf( $equal(e2,e4) )],[refute_16_97,refute_16_98]) ).
cnf(refute_16_100,plain,
( op(unit,e1) != e1
| unit != e3
| op(e3,e1) = e1 ),
introduced(tautology,[equality,[$cnf( $equal(op(unit,e1),e1) ),[0,0],$fot(e3)]]) ).
cnf(refute_16_101,plain,
( op(unit,e1) != e1
| op(e3,e1) = e1
| unit = e0 ),
inference(resolve,[$cnf( $equal(unit,e3) )],[refute_16_99,refute_16_100]) ).
cnf(refute_16_102,plain,
( op(e3,e1) = e1
| unit = e0 ),
inference(resolve,[$cnf( $equal(op(unit,e1),e1) )],[refute_16_51,refute_16_101]) ).
cnf(refute_16_103,plain,
( op(e3,e1) != e1
| op(op(e3,e1),e1) != e3
| op(e1,e1) = e3 ),
introduced(tautology,[equality,[$cnf( $equal(op(op(e3,e1),e1),e3) ),[0,0],$fot(e1)]]) ).
cnf(refute_16_104,plain,
( op(op(e3,e1),e1) != e3
| op(e1,e1) = e3
| unit = e0 ),
inference(resolve,[$cnf( $equal(op(e3,e1),e1) )],[refute_16_102,refute_16_103]) ).
cnf(refute_16_105,plain,
( op(e1,e1) = e3
| unit = e0 ),
inference(resolve,[$cnf( $equal(op(op(e3,e1),e1),e3) )],[refute_16_52,refute_16_104]) ).
cnf(refute_16_106,plain,
( op(e1,e1) != e3
| op(e1,e1) != e4
| e4 = e3 ),
introduced(tautology,[equality,[$cnf( $equal(op(e1,e1),e3) ),[0],$fot(e4)]]) ).
cnf(refute_16_107,plain,
( op(e1,e1) != e3
| e4 = e3 ),
inference(resolve,[$cnf( $equal(op(e1,e1),e4) )],[refute_16_7,refute_16_106]) ).
cnf(refute_16_108,plain,
( e4 = e3
| unit = e0 ),
inference(resolve,[$cnf( $equal(op(e1,e1),e3) )],[refute_16_105,refute_16_107]) ).
cnf(refute_16_109,plain,
e3 != e4,
inference(canonicalize,[],[normalize_16_24]) ).
cnf(refute_16_110,plain,
( e4 != e3
| e3 = e4 ),
inference(subst,[],[refute_16_5:[bind(X,$fot(e4)),bind(Y,$fot(e3))]]) ).
cnf(refute_16_111,plain,
e4 != e3,
inference(resolve,[$cnf( $equal(e3,e4) )],[refute_16_110,refute_16_109]) ).
cnf(refute_16_112,plain,
unit = e0,
inference(resolve,[$cnf( $equal(e4,e3) )],[refute_16_108,refute_16_111]) ).
cnf(refute_16_113,plain,
op(unit,e1) = op(unit,e1),
introduced(tautology,[refl,[$fot(op(unit,e1))]]) ).
cnf(refute_16_114,plain,
( op(unit,e1) != op(unit,e1)
| unit != e0
| op(unit,e1) = op(e0,e1) ),
introduced(tautology,[equality,[$cnf( $equal(op(unit,e1),op(unit,e1)) ),[1,0],$fot(e0)]]) ).
cnf(refute_16_115,plain,
( unit != e0
| op(unit,e1) = op(e0,e1) ),
inference(resolve,[$cnf( $equal(op(unit,e1),op(unit,e1)) )],[refute_16_113,refute_16_114]) ).
cnf(refute_16_116,plain,
op(unit,e1) = op(e0,e1),
inference(resolve,[$cnf( $equal(unit,e0) )],[refute_16_112,refute_16_115]) ).
cnf(refute_16_117,plain,
( op(unit,e1) != e1
| op(unit,e1) != op(e0,e1)
| op(e0,e1) = e1 ),
introduced(tautology,[equality,[$cnf( $equal(op(unit,e1),e1) ),[0],$fot(op(e0,e1))]]) ).
cnf(refute_16_118,plain,
( op(unit,e1) != e1
| op(e0,e1) = e1 ),
inference(resolve,[$cnf( $equal(op(unit,e1),op(e0,e1)) )],[refute_16_116,refute_16_117]) ).
cnf(refute_16_119,plain,
op(e0,e1) = e1,
inference(resolve,[$cnf( $equal(op(unit,e1),e1) )],[refute_16_51,refute_16_118]) ).
cnf(refute_16_120,plain,
( e1 != op(e2,e1)
| op(e0,e1) != e1
| op(e0,e1) = op(e2,e1) ),
introduced(tautology,[equality,[$cnf( $equal(op(e0,e1),e1) ),[1],$fot(op(e2,e1))]]) ).
cnf(refute_16_121,plain,
( e1 != op(e2,e1)
| op(e0,e1) = op(e2,e1) ),
inference(resolve,[$cnf( $equal(op(e0,e1),e1) )],[refute_16_119,refute_16_120]) ).
cnf(refute_16_122,plain,
e1 != op(e2,e1),
inference(resolve,[$cnf( $equal(op(e0,e1),op(e2,e1)) )],[refute_16_121,refute_16_50]) ).
cnf(refute_16_123,plain,
( op(e2,e1) != e1
| e1 = op(e2,e1) ),
inference(subst,[],[refute_16_5:[bind(X,$fot(op(e2,e1))),bind(Y,$fot(e1))]]) ).
cnf(refute_16_124,plain,
op(e2,e1) != e1,
inference(resolve,[$cnf( $equal(e1,op(e2,e1)) )],[refute_16_123,refute_16_122]) ).
cnf(refute_16_125,plain,
( op(e2,e1) = e0
| op(e2,e1) = e2 ),
inference(resolve,[$cnf( $equal(op(e2,e1),e1) )],[refute_16_49,refute_16_124]) ).
cnf(refute_16_126,plain,
op(e2,e0) != op(e2,e1),
inference(canonicalize,[],[normalize_16_25]) ).
cnf(refute_16_127,plain,
op(e2,unit) = e2,
inference(canonicalize,[],[normalize_16_26]) ).
cnf(refute_16_128,plain,
op(e2,unit) = op(e2,unit),
introduced(tautology,[refl,[$fot(op(e2,unit))]]) ).
cnf(refute_16_129,plain,
( op(e2,unit) != op(e2,unit)
| unit != e0
| op(e2,unit) = op(e2,e0) ),
introduced(tautology,[equality,[$cnf( $equal(op(e2,unit),op(e2,unit)) ),[1,1],$fot(e0)]]) ).
cnf(refute_16_130,plain,
( unit != e0
| op(e2,unit) = op(e2,e0) ),
inference(resolve,[$cnf( $equal(op(e2,unit),op(e2,unit)) )],[refute_16_128,refute_16_129]) ).
cnf(refute_16_131,plain,
op(e2,unit) = op(e2,e0),
inference(resolve,[$cnf( $equal(unit,e0) )],[refute_16_112,refute_16_130]) ).
cnf(refute_16_132,plain,
( op(e2,unit) != e2
| op(e2,unit) != op(e2,e0)
| op(e2,e0) = e2 ),
introduced(tautology,[equality,[$cnf( $equal(op(e2,unit),e2) ),[0],$fot(op(e2,e0))]]) ).
cnf(refute_16_133,plain,
( op(e2,unit) != e2
| op(e2,e0) = e2 ),
inference(resolve,[$cnf( $equal(op(e2,unit),op(e2,e0)) )],[refute_16_131,refute_16_132]) ).
cnf(refute_16_134,plain,
op(e2,e0) = e2,
inference(resolve,[$cnf( $equal(op(e2,unit),e2) )],[refute_16_127,refute_16_133]) ).
cnf(refute_16_135,plain,
( e2 != op(e2,e1)
| op(e2,e0) != e2
| op(e2,e0) = op(e2,e1) ),
introduced(tautology,[equality,[$cnf( $equal(op(e2,e0),e2) ),[1],$fot(op(e2,e1))]]) ).
cnf(refute_16_136,plain,
( e2 != op(e2,e1)
| op(e2,e0) = op(e2,e1) ),
inference(resolve,[$cnf( $equal(op(e2,e0),e2) )],[refute_16_134,refute_16_135]) ).
cnf(refute_16_137,plain,
e2 != op(e2,e1),
inference(resolve,[$cnf( $equal(op(e2,e0),op(e2,e1)) )],[refute_16_136,refute_16_126]) ).
cnf(refute_16_138,plain,
( op(e2,e1) != e2
| e2 = op(e2,e1) ),
inference(subst,[],[refute_16_5:[bind(X,$fot(op(e2,e1))),bind(Y,$fot(e2))]]) ).
cnf(refute_16_139,plain,
op(e2,e1) != e2,
inference(resolve,[$cnf( $equal(e2,op(e2,e1)) )],[refute_16_138,refute_16_137]) ).
cnf(refute_16_140,plain,
op(e2,e1) = e0,
inference(resolve,[$cnf( $equal(op(e2,e1),e2) )],[refute_16_125,refute_16_139]) ).
cnf(refute_16_141,plain,
( e0 != op(e3,e1)
| op(e2,e1) != e0
| op(e2,e1) = op(e3,e1) ),
introduced(tautology,[equality,[$cnf( $equal(op(e2,e1),e0) ),[1],$fot(op(e3,e1))]]) ).
cnf(refute_16_142,plain,
( e0 != op(e3,e1)
| op(e2,e1) = op(e3,e1) ),
inference(resolve,[$cnf( $equal(op(e2,e1),e0) )],[refute_16_140,refute_16_141]) ).
cnf(refute_16_143,plain,
e0 != op(e3,e1),
inference(resolve,[$cnf( $equal(op(e2,e1),op(e3,e1)) )],[refute_16_142,refute_16_14]) ).
cnf(refute_16_144,plain,
( op(e3,e1) != e0
| e0 = op(e3,e1) ),
inference(subst,[],[refute_16_5:[bind(X,$fot(op(e3,e1))),bind(Y,$fot(e0))]]) ).
cnf(refute_16_145,plain,
op(e3,e1) != e0,
inference(resolve,[$cnf( $equal(e0,op(e3,e1)) )],[refute_16_144,refute_16_143]) ).
cnf(refute_16_146,plain,
( op(e3,e1) = e1
| op(e3,e1) = e2
| op(e3,e1) = e3 ),
inference(resolve,[$cnf( $equal(op(e3,e1),e0) )],[refute_16_13,refute_16_145]) ).
cnf(refute_16_147,plain,
op(e3,e1) != op(e3,e3),
inference(canonicalize,[],[normalize_16_27]) ).
cnf(refute_16_148,plain,
( op(e0,e0) = e1
| op(e1,e1) = e1
| op(e2,e2) = e1
| op(e3,e3) = e1
| op(e4,e4) = e1 ),
inference(canonicalize,[],[normalize_16_28]) ).
cnf(refute_16_149,plain,
( op(e1,e1) != e1
| op(e1,e1) != e4
| e4 = e1 ),
introduced(tautology,[equality,[$cnf( $equal(op(e1,e1),e1) ),[0],$fot(e4)]]) ).
cnf(refute_16_150,plain,
( op(e1,e1) != e1
| e4 = e1 ),
inference(resolve,[$cnf( $equal(op(e1,e1),e4) )],[refute_16_7,refute_16_149]) ).
cnf(refute_16_151,plain,
( e4 = e1
| op(e0,e0) = e1
| op(e2,e2) = e1
| op(e3,e3) = e1
| op(e4,e4) = e1 ),
inference(resolve,[$cnf( $equal(op(e1,e1),e1) )],[refute_16_148,refute_16_150]) ).
cnf(refute_16_152,plain,
( op(e2,e2) != e1
| op(e2,e2) != e3
| e3 = e1 ),
introduced(tautology,[equality,[$cnf( $equal(op(e2,e2),e1) ),[0],$fot(e3)]]) ).
cnf(refute_16_153,plain,
( op(e2,e2) != e1
| e3 = e1 ),
inference(resolve,[$cnf( $equal(op(e2,e2),e3) )],[refute_16_38,refute_16_152]) ).
cnf(refute_16_154,plain,
( e3 = e1
| e4 = e1
| op(e0,e0) = e1
| op(e3,e3) = e1
| op(e4,e4) = e1 ),
inference(resolve,[$cnf( $equal(op(e2,e2),e1) )],[refute_16_151,refute_16_153]) ).
cnf(refute_16_155,plain,
( op(e4,e4) != e1
| op(e4,e4) != e2
| e2 = e1 ),
introduced(tautology,[equality,[$cnf( $equal(op(e4,e4),e1) ),[0],$fot(e2)]]) ).
cnf(refute_16_156,plain,
( op(e4,e4) != e1
| e2 = e1 ),
inference(resolve,[$cnf( $equal(op(e4,e4),e2) )],[refute_16_94,refute_16_155]) ).
cnf(refute_16_157,plain,
( e2 = e1
| e3 = e1
| e4 = e1
| op(e0,e0) = e1
| op(e3,e3) = e1 ),
inference(resolve,[$cnf( $equal(op(e4,e4),e1) )],[refute_16_154,refute_16_156]) ).
cnf(refute_16_158,plain,
e1 != e2,
inference(canonicalize,[],[normalize_16_29]) ).
cnf(refute_16_159,plain,
( e2 != e1
| e1 = e2 ),
inference(subst,[],[refute_16_5:[bind(X,$fot(e2)),bind(Y,$fot(e1))]]) ).
cnf(refute_16_160,plain,
e2 != e1,
inference(resolve,[$cnf( $equal(e1,e2) )],[refute_16_159,refute_16_158]) ).
cnf(refute_16_161,plain,
( e3 = e1
| e4 = e1
| op(e0,e0) = e1
| op(e3,e3) = e1 ),
inference(resolve,[$cnf( $equal(e2,e1) )],[refute_16_157,refute_16_160]) ).
cnf(refute_16_162,plain,
e1 != e3,
inference(canonicalize,[],[normalize_16_30]) ).
cnf(refute_16_163,plain,
( e3 != e1
| e1 = e3 ),
inference(subst,[],[refute_16_5:[bind(X,$fot(e3)),bind(Y,$fot(e1))]]) ).
cnf(refute_16_164,plain,
e3 != e1,
inference(resolve,[$cnf( $equal(e1,e3) )],[refute_16_163,refute_16_162]) ).
cnf(refute_16_165,plain,
( e4 = e1
| op(e0,e0) = e1
| op(e3,e3) = e1 ),
inference(resolve,[$cnf( $equal(e3,e1) )],[refute_16_161,refute_16_164]) ).
cnf(refute_16_166,plain,
e1 != e4,
inference(canonicalize,[],[normalize_16_31]) ).
cnf(refute_16_167,plain,
( e4 != e1
| e1 = e4 ),
inference(subst,[],[refute_16_5:[bind(X,$fot(e4)),bind(Y,$fot(e1))]]) ).
cnf(refute_16_168,plain,
e4 != e1,
inference(resolve,[$cnf( $equal(e1,e4) )],[refute_16_167,refute_16_166]) ).
cnf(refute_16_169,plain,
( op(e0,e0) = e1
| op(e3,e3) = e1 ),
inference(resolve,[$cnf( $equal(e4,e1) )],[refute_16_165,refute_16_168]) ).
cnf(refute_16_170,plain,
op(e0,unit) = e0,
inference(canonicalize,[],[normalize_16_32]) ).
cnf(refute_16_171,plain,
op(e0,unit) = op(e0,unit),
introduced(tautology,[refl,[$fot(op(e0,unit))]]) ).
cnf(refute_16_172,plain,
( op(e0,unit) != op(e0,unit)
| unit != e0
| op(e0,unit) = op(e0,e0) ),
introduced(tautology,[equality,[$cnf( $equal(op(e0,unit),op(e0,unit)) ),[1,1],$fot(e0)]]) ).
cnf(refute_16_173,plain,
( unit != e0
| op(e0,unit) = op(e0,e0) ),
inference(resolve,[$cnf( $equal(op(e0,unit),op(e0,unit)) )],[refute_16_171,refute_16_172]) ).
cnf(refute_16_174,plain,
op(e0,unit) = op(e0,e0),
inference(resolve,[$cnf( $equal(unit,e0) )],[refute_16_112,refute_16_173]) ).
cnf(refute_16_175,plain,
( op(e0,unit) != e0
| op(e0,unit) != op(e0,e0)
| op(e0,e0) = e0 ),
introduced(tautology,[equality,[$cnf( $equal(op(e0,unit),e0) ),[0],$fot(op(e0,e0))]]) ).
cnf(refute_16_176,plain,
( op(e0,unit) != e0
| op(e0,e0) = e0 ),
inference(resolve,[$cnf( $equal(op(e0,unit),op(e0,e0)) )],[refute_16_174,refute_16_175]) ).
cnf(refute_16_177,plain,
op(e0,e0) = e0,
inference(resolve,[$cnf( $equal(op(e0,unit),e0) )],[refute_16_170,refute_16_176]) ).
cnf(refute_16_178,plain,
( op(e0,e0) != e0
| op(e0,e0) != e1
| e0 = e1 ),
introduced(tautology,[equality,[$cnf( $equal(op(e0,e0),e1) ),[0],$fot(e0)]]) ).
cnf(refute_16_179,plain,
( op(e0,e0) != e1
| e0 = e1 ),
inference(resolve,[$cnf( $equal(op(e0,e0),e0) )],[refute_16_177,refute_16_178]) ).
cnf(refute_16_180,plain,
( e0 = e1
| op(e3,e3) = e1 ),
inference(resolve,[$cnf( $equal(op(e0,e0),e1) )],[refute_16_169,refute_16_179]) ).
cnf(refute_16_181,plain,
e0 != e1,
inference(canonicalize,[],[normalize_16_33]) ).
cnf(refute_16_182,plain,
op(e3,e3) = e1,
inference(resolve,[$cnf( $equal(e0,e1) )],[refute_16_180,refute_16_181]) ).
cnf(refute_16_183,plain,
( op(e3,e1) != e1
| op(e3,e3) != e1
| op(e3,e1) = op(e3,e3) ),
introduced(tautology,[equality,[$cnf( ~ $equal(op(e3,e1),op(e3,e3)) ),[1],$fot(e1)]]) ).
cnf(refute_16_184,plain,
( op(e3,e1) != e1
| op(e3,e1) = op(e3,e3) ),
inference(resolve,[$cnf( $equal(op(e3,e3),e1) )],[refute_16_182,refute_16_183]) ).
cnf(refute_16_185,plain,
op(e3,e1) != e1,
inference(resolve,[$cnf( $equal(op(e3,e1),op(e3,e3)) )],[refute_16_184,refute_16_147]) ).
cnf(refute_16_186,plain,
( op(e3,e1) = e2
| op(e3,e1) = e3 ),
inference(resolve,[$cnf( $equal(op(e3,e1),e1) )],[refute_16_146,refute_16_185]) ).
cnf(refute_16_187,plain,
op(e1,e3) != op(e3,e1),
inference(canonicalize,[],[normalize_16_34]) ).
cnf(refute_16_188,plain,
( op(e0,e3) = e2
| op(e1,e3) = e2
| op(e2,e3) = e2
| op(e3,e3) = e2
| op(e4,e3) = e2 ),
inference(canonicalize,[],[normalize_16_36]) ).
cnf(refute_16_189,plain,
op(unit,e3) = e3,
inference(canonicalize,[],[normalize_16_37]) ).
cnf(refute_16_190,plain,
op(unit,e3) = op(unit,e3),
introduced(tautology,[refl,[$fot(op(unit,e3))]]) ).
cnf(refute_16_191,plain,
( op(unit,e3) != op(unit,e3)
| unit != e0
| op(unit,e3) = op(e0,e3) ),
introduced(tautology,[equality,[$cnf( $equal(op(unit,e3),op(unit,e3)) ),[1,0],$fot(e0)]]) ).
cnf(refute_16_192,plain,
( unit != e0
| op(unit,e3) = op(e0,e3) ),
inference(resolve,[$cnf( $equal(op(unit,e3),op(unit,e3)) )],[refute_16_190,refute_16_191]) ).
cnf(refute_16_193,plain,
op(unit,e3) = op(e0,e3),
inference(resolve,[$cnf( $equal(unit,e0) )],[refute_16_112,refute_16_192]) ).
cnf(refute_16_194,plain,
( op(unit,e3) != e3
| op(unit,e3) != op(e0,e3)
| op(e0,e3) = e3 ),
introduced(tautology,[equality,[$cnf( $equal(op(unit,e3),e3) ),[0],$fot(op(e0,e3))]]) ).
cnf(refute_16_195,plain,
( op(unit,e3) != e3
| op(e0,e3) = e3 ),
inference(resolve,[$cnf( $equal(op(unit,e3),op(e0,e3)) )],[refute_16_193,refute_16_194]) ).
cnf(refute_16_196,plain,
op(e0,e3) = e3,
inference(resolve,[$cnf( $equal(op(unit,e3),e3) )],[refute_16_189,refute_16_195]) ).
cnf(refute_16_197,plain,
( op(e0,e3) != e2
| op(e0,e3) != e3
| e3 = e2 ),
introduced(tautology,[equality,[$cnf( $equal(op(e0,e3),e2) ),[0],$fot(e3)]]) ).
cnf(refute_16_198,plain,
( op(e0,e3) != e2
| e3 = e2 ),
inference(resolve,[$cnf( $equal(op(e0,e3),e3) )],[refute_16_196,refute_16_197]) ).
cnf(refute_16_199,plain,
( e3 = e2
| op(e1,e3) = e2
| op(e2,e3) = e2
| op(e3,e3) = e2
| op(e4,e3) = e2 ),
inference(resolve,[$cnf( $equal(op(e0,e3),e2) )],[refute_16_188,refute_16_198]) ).
cnf(refute_16_200,plain,
( op(e2,e0) = e4
| op(e2,e1) = e4
| op(e2,e2) = e4
| op(e2,e3) = e4
| op(e2,e4) = e4 ),
inference(canonicalize,[],[normalize_16_38]) ).
cnf(refute_16_201,plain,
( op(e2,e2) != e3
| op(e2,e2) != e4
| e3 = e4 ),
introduced(tautology,[equality,[$cnf( $equal(op(e2,e2),e4) ),[0],$fot(e3)]]) ).
cnf(refute_16_202,plain,
( op(e2,e2) != e4
| e3 = e4 ),
inference(resolve,[$cnf( $equal(op(e2,e2),e3) )],[refute_16_38,refute_16_201]) ).
cnf(refute_16_203,plain,
( e3 = e4
| op(e2,e0) = e4
| op(e2,e1) = e4
| op(e2,e3) = e4
| op(e2,e4) = e4 ),
inference(resolve,[$cnf( $equal(op(e2,e2),e4) )],[refute_16_200,refute_16_202]) ).
cnf(refute_16_204,plain,
( op(e2,e0) = e4
| op(e2,e1) = e4
| op(e2,e3) = e4
| op(e2,e4) = e4 ),
inference(resolve,[$cnf( $equal(e3,e4) )],[refute_16_203,refute_16_109]) ).
cnf(refute_16_205,plain,
( op(e2,e0) = e4
| op(e2,e3) = e4
| op(e2,e4) = e4 ),
inference(resolve,[$cnf( $equal(op(e2,e1),e4) )],[refute_16_204,refute_16_48]) ).
cnf(refute_16_206,plain,
( op(e2,e0) != e2
| op(e2,e0) != e4
| e2 = e4 ),
introduced(tautology,[equality,[$cnf( $equal(op(e2,e0),e4) ),[0],$fot(e2)]]) ).
cnf(refute_16_207,plain,
( op(e2,e0) != e4
| e2 = e4 ),
inference(resolve,[$cnf( $equal(op(e2,e0),e2) )],[refute_16_134,refute_16_206]) ).
cnf(refute_16_208,plain,
( e2 = e4
| op(e2,e3) = e4
| op(e2,e4) = e4 ),
inference(resolve,[$cnf( $equal(op(e2,e0),e4) )],[refute_16_205,refute_16_207]) ).
cnf(refute_16_209,plain,
( op(e2,e3) = e4
| op(e2,e4) = e4 ),
inference(resolve,[$cnf( $equal(e2,e4) )],[refute_16_208,refute_16_98]) ).
cnf(refute_16_210,plain,
op(e0,e4) != op(e2,e4),
inference(canonicalize,[],[normalize_16_39]) ).
cnf(refute_16_211,plain,
op(unit,e4) = op(unit,e4),
introduced(tautology,[refl,[$fot(op(unit,e4))]]) ).
cnf(refute_16_212,plain,
( op(unit,e4) != op(unit,e4)
| unit != e0
| op(unit,e4) = op(e0,e4) ),
introduced(tautology,[equality,[$cnf( $equal(op(unit,e4),op(unit,e4)) ),[1,0],$fot(e0)]]) ).
cnf(refute_16_213,plain,
( unit != e0
| op(unit,e4) = op(e0,e4) ),
inference(resolve,[$cnf( $equal(op(unit,e4),op(unit,e4)) )],[refute_16_211,refute_16_212]) ).
cnf(refute_16_214,plain,
op(unit,e4) = op(e0,e4),
inference(resolve,[$cnf( $equal(unit,e0) )],[refute_16_112,refute_16_213]) ).
cnf(refute_16_215,plain,
( op(unit,e4) != e4
| op(unit,e4) != op(e0,e4)
| op(e0,e4) = e4 ),
introduced(tautology,[equality,[$cnf( $equal(op(unit,e4),e4) ),[0],$fot(op(e0,e4))]]) ).
cnf(refute_16_216,plain,
( op(unit,e4) != e4
| op(e0,e4) = e4 ),
inference(resolve,[$cnf( $equal(op(unit,e4),op(e0,e4)) )],[refute_16_214,refute_16_215]) ).
cnf(refute_16_217,plain,
op(e0,e4) = e4,
inference(resolve,[$cnf( $equal(op(unit,e4),e4) )],[refute_16_53,refute_16_216]) ).
cnf(refute_16_218,plain,
( e4 != op(e2,e4)
| op(e0,e4) != e4
| op(e0,e4) = op(e2,e4) ),
introduced(tautology,[equality,[$cnf( $equal(op(e0,e4),e4) ),[1],$fot(op(e2,e4))]]) ).
cnf(refute_16_219,plain,
( e4 != op(e2,e4)
| op(e0,e4) = op(e2,e4) ),
inference(resolve,[$cnf( $equal(op(e0,e4),e4) )],[refute_16_217,refute_16_218]) ).
cnf(refute_16_220,plain,
e4 != op(e2,e4),
inference(resolve,[$cnf( $equal(op(e0,e4),op(e2,e4)) )],[refute_16_219,refute_16_210]) ).
cnf(refute_16_221,plain,
( op(e2,e4) != e4
| e4 = op(e2,e4) ),
inference(subst,[],[refute_16_5:[bind(X,$fot(op(e2,e4))),bind(Y,$fot(e4))]]) ).
cnf(refute_16_222,plain,
op(e2,e4) != e4,
inference(resolve,[$cnf( $equal(e4,op(e2,e4)) )],[refute_16_221,refute_16_220]) ).
cnf(refute_16_223,plain,
op(e2,e3) = e4,
inference(resolve,[$cnf( $equal(op(e2,e4),e4) )],[refute_16_209,refute_16_222]) ).
cnf(refute_16_224,plain,
( op(e2,e3) != e2
| op(e2,e3) != e4
| e4 = e2 ),
introduced(tautology,[equality,[$cnf( $equal(op(e2,e3),e2) ),[0],$fot(e4)]]) ).
cnf(refute_16_225,plain,
( op(e2,e3) != e2
| e4 = e2 ),
inference(resolve,[$cnf( $equal(op(e2,e3),e4) )],[refute_16_223,refute_16_224]) ).
cnf(refute_16_226,plain,
( e3 = e2
| e4 = e2
| op(e1,e3) = e2
| op(e3,e3) = e2
| op(e4,e3) = e2 ),
inference(resolve,[$cnf( $equal(op(e2,e3),e2) )],[refute_16_199,refute_16_225]) ).
cnf(refute_16_227,plain,
( op(e3,e3) != e1
| op(e3,e3) != e2
| e1 = e2 ),
introduced(tautology,[equality,[$cnf( $equal(op(e3,e3),e2) ),[0],$fot(e1)]]) ).
cnf(refute_16_228,plain,
( op(e3,e3) != e2
| e1 = e2 ),
inference(resolve,[$cnf( $equal(op(e3,e3),e1) )],[refute_16_182,refute_16_227]) ).
cnf(refute_16_229,plain,
( e1 = e2
| e3 = e2
| e4 = e2
| op(e1,e3) = e2
| op(e4,e3) = e2 ),
inference(resolve,[$cnf( $equal(op(e3,e3),e2) )],[refute_16_226,refute_16_228]) ).
cnf(refute_16_230,plain,
( e3 = e2
| e4 = e2
| op(e1,e3) = e2
| op(e4,e3) = e2 ),
inference(resolve,[$cnf( $equal(e1,e2) )],[refute_16_229,refute_16_158]) ).
cnf(refute_16_231,plain,
e2 != e3,
inference(canonicalize,[],[normalize_16_40]) ).
cnf(refute_16_232,plain,
( e3 != e2
| e2 = e3 ),
inference(subst,[],[refute_16_5:[bind(X,$fot(e3)),bind(Y,$fot(e2))]]) ).
cnf(refute_16_233,plain,
e3 != e2,
inference(resolve,[$cnf( $equal(e2,e3) )],[refute_16_232,refute_16_231]) ).
cnf(refute_16_234,plain,
( e4 = e2
| op(e1,e3) = e2
| op(e4,e3) = e2 ),
inference(resolve,[$cnf( $equal(e3,e2) )],[refute_16_230,refute_16_233]) ).
cnf(refute_16_235,plain,
( e4 != e2
| e2 = e4 ),
inference(subst,[],[refute_16_5:[bind(X,$fot(e4)),bind(Y,$fot(e2))]]) ).
cnf(refute_16_236,plain,
e4 != e2,
inference(resolve,[$cnf( $equal(e2,e4) )],[refute_16_235,refute_16_98]) ).
cnf(refute_16_237,plain,
( op(e1,e3) = e2
| op(e4,e3) = e2 ),
inference(resolve,[$cnf( $equal(e4,e2) )],[refute_16_234,refute_16_236]) ).
cnf(refute_16_238,plain,
op(e4,e3) != op(e4,e4),
inference(canonicalize,[],[normalize_16_41]) ).
cnf(refute_16_239,plain,
( op(e4,e3) != e2
| op(e4,e4) != e2
| op(e4,e3) = op(e4,e4) ),
introduced(tautology,[equality,[$cnf( ~ $equal(op(e4,e3),op(e4,e4)) ),[1],$fot(e2)]]) ).
cnf(refute_16_240,plain,
( op(e4,e3) != e2
| op(e4,e3) = op(e4,e4) ),
inference(resolve,[$cnf( $equal(op(e4,e4),e2) )],[refute_16_94,refute_16_239]) ).
cnf(refute_16_241,plain,
op(e4,e3) != e2,
inference(resolve,[$cnf( $equal(op(e4,e3),op(e4,e4)) )],[refute_16_240,refute_16_238]) ).
cnf(refute_16_242,plain,
op(e1,e3) = e2,
inference(resolve,[$cnf( $equal(op(e4,e3),e2) )],[refute_16_237,refute_16_241]) ).
cnf(refute_16_243,plain,
( e2 != op(e3,e1)
| op(e1,e3) != e2
| op(e1,e3) = op(e3,e1) ),
introduced(tautology,[equality,[$cnf( $equal(op(e1,e3),e2) ),[1],$fot(op(e3,e1))]]) ).
cnf(refute_16_244,plain,
( e2 != op(e3,e1)
| op(e1,e3) = op(e3,e1) ),
inference(resolve,[$cnf( $equal(op(e1,e3),e2) )],[refute_16_242,refute_16_243]) ).
cnf(refute_16_245,plain,
e2 != op(e3,e1),
inference(resolve,[$cnf( $equal(op(e1,e3),op(e3,e1)) )],[refute_16_244,refute_16_187]) ).
cnf(refute_16_246,plain,
( op(e3,e1) != e2
| e2 = op(e3,e1) ),
inference(subst,[],[refute_16_5:[bind(X,$fot(op(e3,e1))),bind(Y,$fot(e2))]]) ).
cnf(refute_16_247,plain,
op(e3,e1) != e2,
inference(resolve,[$cnf( $equal(e2,op(e3,e1)) )],[refute_16_246,refute_16_245]) ).
cnf(refute_16_248,plain,
op(e3,e1) = e3,
inference(resolve,[$cnf( $equal(op(e3,e1),e2) )],[refute_16_186,refute_16_247]) ).
cnf(refute_16_249,plain,
op(e3,e0) != op(e3,e1),
inference(canonicalize,[],[normalize_16_42]) ).
cnf(refute_16_250,plain,
op(e3,unit) = op(e3,unit),
introduced(tautology,[refl,[$fot(op(e3,unit))]]) ).
cnf(refute_16_251,plain,
( op(e3,unit) != op(e3,unit)
| unit != e0
| op(e3,unit) = op(e3,e0) ),
introduced(tautology,[equality,[$cnf( $equal(op(e3,unit),op(e3,unit)) ),[1,1],$fot(e0)]]) ).
cnf(refute_16_252,plain,
( unit != e0
| op(e3,unit) = op(e3,e0) ),
inference(resolve,[$cnf( $equal(op(e3,unit),op(e3,unit)) )],[refute_16_250,refute_16_251]) ).
cnf(refute_16_253,plain,
op(e3,unit) = op(e3,e0),
inference(resolve,[$cnf( $equal(unit,e0) )],[refute_16_112,refute_16_252]) ).
cnf(refute_16_254,plain,
( op(e3,unit) != e3
| op(e3,unit) != op(e3,e0)
| op(e3,e0) = e3 ),
introduced(tautology,[equality,[$cnf( $equal(op(e3,unit),e3) ),[0],$fot(op(e3,e0))]]) ).
cnf(refute_16_255,plain,
( op(e3,unit) != e3
| op(e3,e0) = e3 ),
inference(resolve,[$cnf( $equal(op(e3,unit),op(e3,e0)) )],[refute_16_253,refute_16_254]) ).
cnf(refute_16_256,plain,
op(e3,e0) = e3,
inference(resolve,[$cnf( $equal(op(e3,unit),e3) )],[refute_16_54,refute_16_255]) ).
cnf(refute_16_257,plain,
( e3 != op(e3,e1)
| op(e3,e0) != e3
| op(e3,e0) = op(e3,e1) ),
introduced(tautology,[equality,[$cnf( $equal(op(e3,e0),e3) ),[1],$fot(op(e3,e1))]]) ).
cnf(refute_16_258,plain,
( e3 != op(e3,e1)
| op(e3,e0) = op(e3,e1) ),
inference(resolve,[$cnf( $equal(op(e3,e0),e3) )],[refute_16_256,refute_16_257]) ).
cnf(refute_16_259,plain,
e3 != op(e3,e1),
inference(resolve,[$cnf( $equal(op(e3,e0),op(e3,e1)) )],[refute_16_258,refute_16_249]) ).
cnf(refute_16_260,plain,
( op(e3,e1) != e3
| e3 = op(e3,e1) ),
inference(subst,[],[refute_16_5:[bind(X,$fot(op(e3,e1))),bind(Y,$fot(e3))]]) ).
cnf(refute_16_261,plain,
op(e3,e1) != e3,
inference(resolve,[$cnf( $equal(e3,op(e3,e1)) )],[refute_16_260,refute_16_259]) ).
cnf(refute_16_262,plain,
$false,
inference(resolve,[$cnf( $equal(op(e3,e1),e3) )],[refute_16_248,refute_16_261]) ).
fof(negate_17_0,plain,
~ ( ( ( op(e0,e0) = e0
| op(e1,e1) = e0
| op(e2,e2) = e0
| op(e3,e3) = e0
| op(e4,e4) = e0 )
& ( op(e0,e0) = e1
| op(e1,e1) = e1
| op(e2,e2) = e1
| op(e3,e3) = e1
| op(e4,e4) = e1 )
& ( op(e0,e0) = e2
| op(e1,e1) = e2
| op(e2,e2) = e2
| op(e3,e3) = e2
| op(e4,e4) = e2 )
& ( op(e0,e0) = e3
| op(e1,e1) = e3
| op(e2,e2) = e3
| op(e3,e3) = e3
| op(e4,e4) = e3 )
& ( op(e0,e0) = e4
| op(e1,e1) = e4
| op(e2,e2) = e4
| op(e3,e3) = e4
| op(e4,e4) = e4 )
& ~ ( op(e0,e0) != op(e0,e0)
& op(op(e0,e0),e0) = e0
& op(op(e0,e0),e0) != e0 )
& ~ ( op(e1,e0) != op(e0,e1)
& op(op(e0,e1),e1) = e0
& op(op(e0,e1),e0) != e1 )
& ~ ( op(e2,e0) != op(e0,e2)
& op(op(e0,e2),e2) = e0
& op(op(e0,e2),e0) != e2 )
& ~ ( op(e3,e0) != op(e0,e3)
& op(op(e0,e3),e3) = e0
& op(op(e0,e3),e0) != e3 )
& ~ ( op(e4,e0) != op(e0,e4)
& op(op(e0,e4),e4) = e0
& op(op(e0,e4),e0) != e4 )
& ~ ( op(e0,e1) != op(e1,e0)
& op(op(e1,e0),e0) = e1
& op(op(e1,e0),e1) != e0 )
& ~ ( op(e1,e1) != op(e1,e1)
& op(op(e1,e1),e1) = e1
& op(op(e1,e1),e1) != e1 )
& ~ ( op(e2,e1) != op(e1,e2)
& op(op(e1,e2),e2) = e1
& op(op(e1,e2),e1) != e2 )
& ~ ( op(e3,e1) != op(e1,e3)
& op(op(e1,e3),e3) = e1
& op(op(e1,e3),e1) != e3 )
& ~ ( op(e4,e1) != op(e1,e4)
& op(op(e1,e4),e4) = e1
& op(op(e1,e4),e1) != e4 )
& ~ ( op(e0,e2) != op(e2,e0)
& op(op(e2,e0),e0) = e2
& op(op(e2,e0),e2) != e0 )
& ~ ( op(e1,e2) != op(e2,e1)
& op(op(e2,e1),e1) = e2
& op(op(e2,e1),e2) != e1 )
& ~ ( op(e2,e2) != op(e2,e2)
& op(op(e2,e2),e2) = e2
& op(op(e2,e2),e2) != e2 )
& ~ ( op(e3,e2) != op(e2,e3)
& op(op(e2,e3),e3) = e2
& op(op(e2,e3),e2) != e3 )
& ~ ( op(e4,e2) != op(e2,e4)
& op(op(e2,e4),e4) = e2
& op(op(e2,e4),e2) != e4 )
& ~ ( op(e0,e3) != op(e3,e0)
& op(op(e3,e0),e0) = e3
& op(op(e3,e0),e3) != e0 )
& ~ ( op(e1,e3) != op(e3,e1)
& op(op(e3,e1),e1) = e3
& op(op(e3,e1),e3) != e1 )
& op(e2,e3) != op(e3,e2)
& op(op(e3,e2),e2) = e3 )
=> op(op(e3,e2),e3) = e2 ),
inference(negate,[],[subgoal_17]) ).
fof(normalize_17_0,plain,
( op(e2,e3) != op(e3,e2)
& op(op(e3,e2),e3) != e2
& op(op(e3,e2),e2) = e3
& ( op(op(e0,e1),e1) != e0
| op(e1,e0) = op(e0,e1)
| op(op(e0,e1),e0) = e1 )
& ( op(op(e0,e2),e2) != e0
| op(e2,e0) = op(e0,e2)
| op(op(e0,e2),e0) = e2 )
& ( op(op(e0,e3),e3) != e0
| op(e3,e0) = op(e0,e3)
| op(op(e0,e3),e0) = e3 )
& ( op(op(e0,e4),e4) != e0
| op(e4,e0) = op(e0,e4)
| op(op(e0,e4),e0) = e4 )
& ( op(op(e1,e0),e0) != e1
| op(e0,e1) = op(e1,e0)
| op(op(e1,e0),e1) = e0 )
& ( op(op(e1,e2),e2) != e1
| op(e2,e1) = op(e1,e2)
| op(op(e1,e2),e1) = e2 )
& ( op(op(e1,e3),e3) != e1
| op(e3,e1) = op(e1,e3)
| op(op(e1,e3),e1) = e3 )
& ( op(op(e1,e4),e4) != e1
| op(e4,e1) = op(e1,e4)
| op(op(e1,e4),e1) = e4 )
& ( op(op(e2,e0),e0) != e2
| op(e0,e2) = op(e2,e0)
| op(op(e2,e0),e2) = e0 )
& ( op(op(e2,e1),e1) != e2
| op(e1,e2) = op(e2,e1)
| op(op(e2,e1),e2) = e1 )
& ( op(op(e2,e3),e3) != e2
| op(e3,e2) = op(e2,e3)
| op(op(e2,e3),e2) = e3 )
& ( op(op(e2,e4),e4) != e2
| op(e4,e2) = op(e2,e4)
| op(op(e2,e4),e2) = e4 )
& ( op(op(e3,e0),e0) != e3
| op(e0,e3) = op(e3,e0)
| op(op(e3,e0),e3) = e0 )
& ( op(op(e3,e1),e1) != e3
| op(e1,e3) = op(e3,e1)
| op(op(e3,e1),e3) = e1 )
& ( op(e0,e0) = e0
| op(e1,e1) = e0
| op(e2,e2) = e0
| op(e3,e3) = e0
| op(e4,e4) = e0 )
& ( op(e0,e0) = e1
| op(e1,e1) = e1
| op(e2,e2) = e1
| op(e3,e3) = e1
| op(e4,e4) = e1 )
& ( op(e0,e0) = e2
| op(e1,e1) = e2
| op(e2,e2) = e2
| op(e3,e3) = e2
| op(e4,e4) = e2 )
& ( op(e0,e0) = e3
| op(e1,e1) = e3
| op(e2,e2) = e3
| op(e3,e3) = e3
| op(e4,e4) = e3 )
& ( op(e0,e0) = e4
| op(e1,e1) = e4
| op(e2,e2) = e4
| op(e3,e3) = e4
| op(e4,e4) = e4 ) ),
inference(canonicalize,[],[negate_17_0]) ).
fof(normalize_17_1,plain,
op(op(e3,e2),e2) = e3,
inference(conjunct,[],[normalize_17_0]) ).
fof(normalize_17_2,plain,
( ( op(e0,e0) = e0
| op(e0,e1) = e0
| op(e0,e2) = e0
| op(e0,e3) = e0
| op(e0,e4) = e0 )
& ( op(e0,e0) = e0
| op(e1,e0) = e0
| op(e2,e0) = e0
| op(e3,e0) = e0
| op(e4,e0) = e0 )
& ( op(e0,e0) = e1
| op(e0,e1) = e1
| op(e0,e2) = e1
| op(e0,e3) = e1
| op(e0,e4) = e1 )
& ( op(e0,e0) = e1
| op(e1,e0) = e1
| op(e2,e0) = e1
| op(e3,e0) = e1
| op(e4,e0) = e1 )
& ( op(e0,e0) = e2
| op(e0,e1) = e2
| op(e0,e2) = e2
| op(e0,e3) = e2
| op(e0,e4) = e2 )
& ( op(e0,e0) = e2
| op(e1,e0) = e2
| op(e2,e0) = e2
| op(e3,e0) = e2
| op(e4,e0) = e2 )
& ( op(e0,e0) = e3
| op(e0,e1) = e3
| op(e0,e2) = e3
| op(e0,e3) = e3
| op(e0,e4) = e3 )
& ( op(e0,e0) = e3
| op(e1,e0) = e3
| op(e2,e0) = e3
| op(e3,e0) = e3
| op(e4,e0) = e3 )
& ( op(e0,e0) = e4
| op(e0,e1) = e4
| op(e0,e2) = e4
| op(e0,e3) = e4
| op(e0,e4) = e4 )
& ( op(e0,e0) = e4
| op(e1,e0) = e4
| op(e2,e0) = e4
| op(e3,e0) = e4
| op(e4,e0) = e4 )
& ( op(e0,e1) = e0
| op(e1,e1) = e0
| op(e2,e1) = e0
| op(e3,e1) = e0
| op(e4,e1) = e0 )
& ( op(e0,e1) = e1
| op(e1,e1) = e1
| op(e2,e1) = e1
| op(e3,e1) = e1
| op(e4,e1) = e1 )
& ( op(e0,e1) = e2
| op(e1,e1) = e2
| op(e2,e1) = e2
| op(e3,e1) = e2
| op(e4,e1) = e2 )
& ( op(e0,e1) = e3
| op(e1,e1) = e3
| op(e2,e1) = e3
| op(e3,e1) = e3
| op(e4,e1) = e3 )
& ( op(e0,e1) = e4
| op(e1,e1) = e4
| op(e2,e1) = e4
| op(e3,e1) = e4
| op(e4,e1) = e4 )
& ( op(e0,e2) = e0
| op(e1,e2) = e0
| op(e2,e2) = e0
| op(e3,e2) = e0
| op(e4,e2) = e0 )
& ( op(e0,e2) = e1
| op(e1,e2) = e1
| op(e2,e2) = e1
| op(e3,e2) = e1
| op(e4,e2) = e1 )
& ( op(e0,e2) = e2
| op(e1,e2) = e2
| op(e2,e2) = e2
| op(e3,e2) = e2
| op(e4,e2) = e2 )
& ( op(e0,e2) = e3
| op(e1,e2) = e3
| op(e2,e2) = e3
| op(e3,e2) = e3
| op(e4,e2) = e3 )
& ( op(e0,e2) = e4
| op(e1,e2) = e4
| op(e2,e2) = e4
| op(e3,e2) = e4
| op(e4,e2) = e4 )
& ( op(e0,e3) = e0
| op(e1,e3) = e0
| op(e2,e3) = e0
| op(e3,e3) = e0
| op(e4,e3) = e0 )
& ( op(e0,e3) = e1
| op(e1,e3) = e1
| op(e2,e3) = e1
| op(e3,e3) = e1
| op(e4,e3) = e1 )
& ( op(e0,e3) = e2
| op(e1,e3) = e2
| op(e2,e3) = e2
| op(e3,e3) = e2
| op(e4,e3) = e2 )
& ( op(e0,e3) = e3
| op(e1,e3) = e3
| op(e2,e3) = e3
| op(e3,e3) = e3
| op(e4,e3) = e3 )
& ( op(e0,e3) = e4
| op(e1,e3) = e4
| op(e2,e3) = e4
| op(e3,e3) = e4
| op(e4,e3) = e4 )
& ( op(e0,e4) = e0
| op(e1,e4) = e0
| op(e2,e4) = e0
| op(e3,e4) = e0
| op(e4,e4) = e0 )
& ( op(e0,e4) = e1
| op(e1,e4) = e1
| op(e2,e4) = e1
| op(e3,e4) = e1
| op(e4,e4) = e1 )
& ( op(e0,e4) = e2
| op(e1,e4) = e2
| op(e2,e4) = e2
| op(e3,e4) = e2
| op(e4,e4) = e2 )
& ( op(e0,e4) = e3
| op(e1,e4) = e3
| op(e2,e4) = e3
| op(e3,e4) = e3
| op(e4,e4) = e3 )
& ( op(e0,e4) = e4
| op(e1,e4) = e4
| op(e2,e4) = e4
| op(e3,e4) = e4
| op(e4,e4) = e4 )
& ( op(e1,e0) = e0
| op(e1,e1) = e0
| op(e1,e2) = e0
| op(e1,e3) = e0
| op(e1,e4) = e0 )
& ( op(e1,e0) = e1
| op(e1,e1) = e1
| op(e1,e2) = e1
| op(e1,e3) = e1
| op(e1,e4) = e1 )
& ( op(e1,e0) = e2
| op(e1,e1) = e2
| op(e1,e2) = e2
| op(e1,e3) = e2
| op(e1,e4) = e2 )
& ( op(e1,e0) = e3
| op(e1,e1) = e3
| op(e1,e2) = e3
| op(e1,e3) = e3
| op(e1,e4) = e3 )
& ( op(e1,e0) = e4
| op(e1,e1) = e4
| op(e1,e2) = e4
| op(e1,e3) = e4
| op(e1,e4) = e4 )
& ( op(e2,e0) = e0
| op(e2,e1) = e0
| op(e2,e2) = e0
| op(e2,e3) = e0
| op(e2,e4) = e0 )
& ( op(e2,e0) = e1
| op(e2,e1) = e1
| op(e2,e2) = e1
| op(e2,e3) = e1
| op(e2,e4) = e1 )
& ( op(e2,e0) = e2
| op(e2,e1) = e2
| op(e2,e2) = e2
| op(e2,e3) = e2
| op(e2,e4) = e2 )
& ( op(e2,e0) = e3
| op(e2,e1) = e3
| op(e2,e2) = e3
| op(e2,e3) = e3
| op(e2,e4) = e3 )
& ( op(e2,e0) = e4
| op(e2,e1) = e4
| op(e2,e2) = e4
| op(e2,e3) = e4
| op(e2,e4) = e4 )
& ( op(e3,e0) = e0
| op(e3,e1) = e0
| op(e3,e2) = e0
| op(e3,e3) = e0
| op(e3,e4) = e0 )
& ( op(e3,e0) = e1
| op(e3,e1) = e1
| op(e3,e2) = e1
| op(e3,e3) = e1
| op(e3,e4) = e1 )
& ( op(e3,e0) = e2
| op(e3,e1) = e2
| op(e3,e2) = e2
| op(e3,e3) = e2
| op(e3,e4) = e2 )
& ( op(e3,e0) = e3
| op(e3,e1) = e3
| op(e3,e2) = e3
| op(e3,e3) = e3
| op(e3,e4) = e3 )
& ( op(e3,e0) = e4
| op(e3,e1) = e4
| op(e3,e2) = e4
| op(e3,e3) = e4
| op(e3,e4) = e4 )
& ( op(e4,e0) = e0
| op(e4,e1) = e0
| op(e4,e2) = e0
| op(e4,e3) = e0
| op(e4,e4) = e0 )
& ( op(e4,e0) = e1
| op(e4,e1) = e1
| op(e4,e2) = e1
| op(e4,e3) = e1
| op(e4,e4) = e1 )
& ( op(e4,e0) = e2
| op(e4,e1) = e2
| op(e4,e2) = e2
| op(e4,e3) = e2
| op(e4,e4) = e2 )
& ( op(e4,e0) = e3
| op(e4,e1) = e3
| op(e4,e2) = e3
| op(e4,e3) = e3
| op(e4,e4) = e3 )
& ( op(e4,e0) = e4
| op(e4,e1) = e4
| op(e4,e2) = e4
| op(e4,e3) = e4
| op(e4,e4) = e4 ) ),
inference(canonicalize,[],[ax3]) ).
fof(normalize_17_3,plain,
( op(e0,e2) = e4
| op(e1,e2) = e4
| op(e2,e2) = e4
| op(e3,e2) = e4
| op(e4,e2) = e4 ),
inference(conjunct,[],[normalize_17_2]) ).
fof(normalize_17_4,plain,
( e0 = op(e1,op(op(e1,e1),op(e1,e1)))
& e2 = op(op(e1,e1),op(e1,e1))
& e3 = op(op(op(e1,e1),op(e1,e1)),op(op(e1,e1),op(e1,e1)))
& e4 = op(e1,e1) ),
inference(canonicalize,[],[ax6]) ).
fof(normalize_17_5,plain,
e3 = op(op(op(e1,e1),op(e1,e1)),op(op(e1,e1),op(e1,e1))),
inference(conjunct,[],[normalize_17_4]) ).
fof(normalize_17_6,plain,
e2 = op(op(e1,e1),op(e1,e1)),
inference(conjunct,[],[normalize_17_4]) ).
fof(normalize_17_7,plain,
( e0 != e1
& e0 != e2
& e0 != e3
& e0 != e4
& e1 != e2
& e1 != e3
& e1 != e4
& e2 != e3
& e2 != e4
& e3 != e4 ),
inference(canonicalize,[],[ax5]) ).
fof(normalize_17_8,plain,
e3 != e4,
inference(conjunct,[],[normalize_17_7]) ).
fof(normalize_17_9,plain,
( op(e0,e0) != op(e0,e1)
& op(e0,e0) != op(e0,e2)
& op(e0,e0) != op(e0,e3)
& op(e0,e0) != op(e0,e4)
& op(e0,e0) != op(e1,e0)
& op(e0,e0) != op(e2,e0)
& op(e0,e0) != op(e3,e0)
& op(e0,e0) != op(e4,e0)
& op(e0,e1) != op(e0,e2)
& op(e0,e1) != op(e0,e3)
& op(e0,e1) != op(e0,e4)
& op(e0,e1) != op(e1,e1)
& op(e0,e1) != op(e2,e1)
& op(e0,e1) != op(e3,e1)
& op(e0,e1) != op(e4,e1)
& op(e0,e2) != op(e0,e3)
& op(e0,e2) != op(e0,e4)
& op(e0,e2) != op(e1,e2)
& op(e0,e2) != op(e2,e2)
& op(e0,e2) != op(e3,e2)
& op(e0,e2) != op(e4,e2)
& op(e0,e3) != op(e0,e4)
& op(e0,e3) != op(e1,e3)
& op(e0,e3) != op(e2,e3)
& op(e0,e3) != op(e3,e3)
& op(e0,e3) != op(e4,e3)
& op(e0,e4) != op(e1,e4)
& op(e0,e4) != op(e2,e4)
& op(e0,e4) != op(e3,e4)
& op(e0,e4) != op(e4,e4)
& op(e1,e0) != op(e1,e1)
& op(e1,e0) != op(e1,e2)
& op(e1,e0) != op(e1,e3)
& op(e1,e0) != op(e1,e4)
& op(e1,e0) != op(e2,e0)
& op(e1,e0) != op(e3,e0)
& op(e1,e0) != op(e4,e0)
& op(e1,e1) != op(e1,e2)
& op(e1,e1) != op(e1,e3)
& op(e1,e1) != op(e1,e4)
& op(e1,e1) != op(e2,e1)
& op(e1,e1) != op(e3,e1)
& op(e1,e1) != op(e4,e1)
& op(e1,e2) != op(e1,e3)
& op(e1,e2) != op(e1,e4)
& op(e1,e2) != op(e2,e2)
& op(e1,e2) != op(e3,e2)
& op(e1,e2) != op(e4,e2)
& op(e1,e3) != op(e1,e4)
& op(e1,e3) != op(e2,e3)
& op(e1,e3) != op(e3,e3)
& op(e1,e3) != op(e4,e3)
& op(e1,e4) != op(e2,e4)
& op(e1,e4) != op(e3,e4)
& op(e1,e4) != op(e4,e4)
& op(e2,e0) != op(e2,e1)
& op(e2,e0) != op(e2,e2)
& op(e2,e0) != op(e2,e3)
& op(e2,e0) != op(e2,e4)
& op(e2,e0) != op(e3,e0)
& op(e2,e0) != op(e4,e0)
& op(e2,e1) != op(e2,e2)
& op(e2,e1) != op(e2,e3)
& op(e2,e1) != op(e2,e4)
& op(e2,e1) != op(e3,e1)
& op(e2,e1) != op(e4,e1)
& op(e2,e2) != op(e2,e3)
& op(e2,e2) != op(e2,e4)
& op(e2,e2) != op(e3,e2)
& op(e2,e2) != op(e4,e2)
& op(e2,e3) != op(e2,e4)
& op(e2,e3) != op(e3,e3)
& op(e2,e3) != op(e4,e3)
& op(e2,e4) != op(e3,e4)
& op(e2,e4) != op(e4,e4)
& op(e3,e0) != op(e3,e1)
& op(e3,e0) != op(e3,e2)
& op(e3,e0) != op(e3,e3)
& op(e3,e0) != op(e3,e4)
& op(e3,e0) != op(e4,e0)
& op(e3,e1) != op(e3,e2)
& op(e3,e1) != op(e3,e3)
& op(e3,e1) != op(e3,e4)
& op(e3,e1) != op(e4,e1)
& op(e3,e2) != op(e3,e3)
& op(e3,e2) != op(e3,e4)
& op(e3,e2) != op(e4,e2)
& op(e3,e3) != op(e3,e4)
& op(e3,e3) != op(e4,e3)
& op(e3,e4) != op(e4,e4)
& op(e4,e0) != op(e4,e1)
& op(e4,e0) != op(e4,e2)
& op(e4,e0) != op(e4,e3)
& op(e4,e0) != op(e4,e4)
& op(e4,e1) != op(e4,e2)
& op(e4,e1) != op(e4,e3)
& op(e4,e1) != op(e4,e4)
& op(e4,e2) != op(e4,e3)
& op(e4,e2) != op(e4,e4)
& op(e4,e3) != op(e4,e4) ),
inference(canonicalize,[],[ax4]) ).
fof(normalize_17_10,plain,
op(e1,e1) != op(e1,e2),
inference(conjunct,[],[normalize_17_9]) ).
fof(normalize_17_11,plain,
e4 = op(e1,e1),
inference(conjunct,[],[normalize_17_4]) ).
fof(normalize_17_12,plain,
( op(e0,unit) = e0
& op(e1,unit) = e1
& op(e2,unit) = e2
& op(e3,unit) = e3
& op(e4,unit) = e4
& op(unit,e0) = e0
& op(unit,e1) = e1
& op(unit,e2) = e2
& op(unit,e3) = e3
& op(unit,e4) = e4
& ( unit = e0
| unit = e1
| unit = e2
| unit = e3
| unit = e4 ) ),
inference(canonicalize,[],[ax2]) ).
fof(normalize_17_13,plain,
op(unit,e2) = e2,
inference(conjunct,[],[normalize_17_12]) ).
fof(normalize_17_14,plain,
op(e1,e3) != op(e3,e3),
inference(conjunct,[],[normalize_17_9]) ).
fof(normalize_17_15,plain,
( op(e0,e0) = e1
| op(e1,e1) = e1
| op(e2,e2) = e1
| op(e3,e3) = e1
| op(e4,e4) = e1 ),
inference(conjunct,[],[normalize_17_0]) ).
fof(normalize_17_16,plain,
e1 != e2,
inference(conjunct,[],[normalize_17_7]) ).
fof(normalize_17_17,plain,
e1 != e3,
inference(conjunct,[],[normalize_17_7]) ).
fof(normalize_17_18,plain,
e1 != e4,
inference(conjunct,[],[normalize_17_7]) ).
fof(normalize_17_19,plain,
op(e1,unit) = e1,
inference(conjunct,[],[normalize_17_12]) ).
fof(normalize_17_20,plain,
op(unit,e4) = e4,
inference(conjunct,[],[normalize_17_12]) ).
fof(normalize_17_21,plain,
op(unit,e1) = e1,
inference(conjunct,[],[normalize_17_12]) ).
fof(normalize_17_22,plain,
( unit = e0
| unit = e1
| unit = e2
| unit = e3
| unit = e4 ),
inference(conjunct,[],[normalize_17_12]) ).
fof(normalize_17_23,plain,
e0 = op(e1,op(op(e1,e1),op(e1,e1))),
inference(conjunct,[],[normalize_17_4]) ).
fof(normalize_17_24,plain,
e0 != e1,
inference(conjunct,[],[normalize_17_7]) ).
fof(normalize_17_25,plain,
e2 != e4,
inference(conjunct,[],[normalize_17_7]) ).
fof(normalize_17_26,plain,
op(e3,e0) != op(e3,e3),
inference(conjunct,[],[normalize_17_9]) ).
fof(normalize_17_27,plain,
( op(e0,e0) = e0
| op(e1,e1) = e0
| op(e2,e2) = e0
| op(e3,e3) = e0
| op(e4,e4) = e0 ),
inference(conjunct,[],[normalize_17_0]) ).
fof(normalize_17_28,plain,
e0 != e2,
inference(conjunct,[],[normalize_17_7]) ).
fof(normalize_17_29,plain,
e0 != e3,
inference(conjunct,[],[normalize_17_7]) ).
fof(normalize_17_30,plain,
e0 != e4,
inference(conjunct,[],[normalize_17_7]) ).
fof(normalize_17_31,plain,
op(unit,e0) = e0,
inference(conjunct,[],[normalize_17_12]) ).
fof(normalize_17_32,plain,
op(e4,e0) != op(e4,e2),
inference(conjunct,[],[normalize_17_9]) ).
fof(normalize_17_33,plain,
op(e4,unit) = e4,
inference(conjunct,[],[normalize_17_12]) ).
fof(normalize_17_34,plain,
op(e2,e2) != op(e4,e2),
inference(conjunct,[],[normalize_17_9]) ).
cnf(refute_17_0,plain,
op(op(e3,e2),e2) = e3,
inference(canonicalize,[],[normalize_17_1]) ).
cnf(refute_17_1,plain,
( op(e0,e2) = e4
| op(e1,e2) = e4
| op(e2,e2) = e4
| op(e3,e2) = e4
| op(e4,e2) = e4 ),
inference(canonicalize,[],[normalize_17_3]) ).
cnf(refute_17_2,plain,
e3 = op(op(op(e1,e1),op(e1,e1)),op(op(e1,e1),op(e1,e1))),
inference(canonicalize,[],[normalize_17_5]) ).
cnf(refute_17_3,plain,
e2 = op(op(e1,e1),op(e1,e1)),
inference(canonicalize,[],[normalize_17_6]) ).
cnf(refute_17_4,plain,
X = X,
introduced(tautology,[refl,[$fot(X)]]) ).
cnf(refute_17_5,plain,
( X != X
| X != Y
| Y = X ),
introduced(tautology,[equality,[$cnf( $equal(X,X) ),[0],$fot(Y)]]) ).
cnf(refute_17_6,plain,
( X != Y
| Y = X ),
inference(resolve,[$cnf( $equal(X,X) )],[refute_17_4,refute_17_5]) ).
cnf(refute_17_7,plain,
( e2 != op(op(e1,e1),op(e1,e1))
| op(op(e1,e1),op(e1,e1)) = e2 ),
inference(subst,[],[refute_17_6:[bind(X,$fot(e2)),bind(Y,$fot(op(op(e1,e1),op(e1,e1))))]]) ).
cnf(refute_17_8,plain,
op(op(e1,e1),op(e1,e1)) = e2,
inference(resolve,[$cnf( $equal(e2,op(op(e1,e1),op(e1,e1))) )],[refute_17_3,refute_17_7]) ).
cnf(refute_17_9,plain,
op(e2,op(op(e1,e1),op(e1,e1))) = op(e2,op(op(e1,e1),op(e1,e1))),
introduced(tautology,[refl,[$fot(op(e2,op(op(e1,e1),op(e1,e1))))]]) ).
cnf(refute_17_10,plain,
( op(e2,op(op(e1,e1),op(e1,e1))) != op(e2,op(op(e1,e1),op(e1,e1)))
| op(op(e1,e1),op(e1,e1)) != e2
| op(e2,op(op(e1,e1),op(e1,e1))) = op(e2,e2) ),
introduced(tautology,[equality,[$cnf( $equal(op(e2,op(op(e1,e1),op(e1,e1))),op(e2,op(op(e1,e1),op(e1,e1)))) ),[1,1],$fot(e2)]]) ).
cnf(refute_17_11,plain,
( op(op(e1,e1),op(e1,e1)) != e2
| op(e2,op(op(e1,e1),op(e1,e1))) = op(e2,e2) ),
inference(resolve,[$cnf( $equal(op(e2,op(op(e1,e1),op(e1,e1))),op(e2,op(op(e1,e1),op(e1,e1)))) )],[refute_17_9,refute_17_10]) ).
cnf(refute_17_12,plain,
op(e2,op(op(e1,e1),op(e1,e1))) = op(e2,e2),
inference(resolve,[$cnf( $equal(op(op(e1,e1),op(e1,e1)),e2) )],[refute_17_8,refute_17_11]) ).
cnf(refute_17_13,plain,
op(op(op(e1,e1),op(e1,e1)),op(op(e1,e1),op(e1,e1))) = op(op(op(e1,e1),op(e1,e1)),op(op(e1,e1),op(e1,e1))),
introduced(tautology,[refl,[$fot(op(op(op(e1,e1),op(e1,e1)),op(op(e1,e1),op(e1,e1))))]]) ).
cnf(refute_17_14,plain,
( op(op(e1,e1),op(e1,e1)) != e2
| op(op(op(e1,e1),op(e1,e1)),op(op(e1,e1),op(e1,e1))) != op(op(op(e1,e1),op(e1,e1)),op(op(e1,e1),op(e1,e1)))
| op(op(op(e1,e1),op(e1,e1)),op(op(e1,e1),op(e1,e1))) = op(e2,op(op(e1,e1),op(e1,e1))) ),
introduced(tautology,[equality,[$cnf( $equal(op(op(op(e1,e1),op(e1,e1)),op(op(e1,e1),op(e1,e1))),op(op(op(e1,e1),op(e1,e1)),op(op(e1,e1),op(e1,e1)))) ),[1,0],$fot(e2)]]) ).
cnf(refute_17_15,plain,
( op(op(e1,e1),op(e1,e1)) != e2
| op(op(op(e1,e1),op(e1,e1)),op(op(e1,e1),op(e1,e1))) = op(e2,op(op(e1,e1),op(e1,e1))) ),
inference(resolve,[$cnf( $equal(op(op(op(e1,e1),op(e1,e1)),op(op(e1,e1),op(e1,e1))),op(op(op(e1,e1),op(e1,e1)),op(op(e1,e1),op(e1,e1)))) )],[refute_17_13,refute_17_14]) ).
cnf(refute_17_16,plain,
op(op(op(e1,e1),op(e1,e1)),op(op(e1,e1),op(e1,e1))) = op(e2,op(op(e1,e1),op(e1,e1))),
inference(resolve,[$cnf( $equal(op(op(e1,e1),op(e1,e1)),e2) )],[refute_17_8,refute_17_15]) ).
cnf(refute_17_17,plain,
( Y != X
| Y != Z
| X = Z ),
introduced(tautology,[equality,[$cnf( $equal(Y,Z) ),[0],$fot(X)]]) ).
cnf(refute_17_18,plain,
( X != Y
| Y != Z
| X = Z ),
inference(resolve,[$cnf( $equal(Y,X) )],[refute_17_6,refute_17_17]) ).
cnf(refute_17_19,plain,
( op(e2,op(op(e1,e1),op(e1,e1))) != op(e2,e2)
| op(op(op(e1,e1),op(e1,e1)),op(op(e1,e1),op(e1,e1))) != op(e2,op(op(e1,e1),op(e1,e1)))
| op(op(op(e1,e1),op(e1,e1)),op(op(e1,e1),op(e1,e1))) = op(e2,e2) ),
inference(subst,[],[refute_17_18:[bind(X,$fot(op(op(op(e1,e1),op(e1,e1)),op(op(e1,e1),op(e1,e1))))),bind(Y,$fot(op(e2,op(op(e1,e1),op(e1,e1))))),bind(Z,$fot(op(e2,e2)))]]) ).
cnf(refute_17_20,plain,
( op(e2,op(op(e1,e1),op(e1,e1))) != op(e2,e2)
| op(op(op(e1,e1),op(e1,e1)),op(op(e1,e1),op(e1,e1))) = op(e2,e2) ),
inference(resolve,[$cnf( $equal(op(op(op(e1,e1),op(e1,e1)),op(op(e1,e1),op(e1,e1))),op(e2,op(op(e1,e1),op(e1,e1)))) )],[refute_17_16,refute_17_19]) ).
cnf(refute_17_21,plain,
op(op(op(e1,e1),op(e1,e1)),op(op(e1,e1),op(e1,e1))) = op(e2,e2),
inference(resolve,[$cnf( $equal(op(e2,op(op(e1,e1),op(e1,e1))),op(e2,e2)) )],[refute_17_12,refute_17_20]) ).
cnf(refute_17_22,plain,
( e3 != op(op(op(e1,e1),op(e1,e1)),op(op(e1,e1),op(e1,e1)))
| op(op(op(e1,e1),op(e1,e1)),op(op(e1,e1),op(e1,e1))) != op(e2,e2)
| e3 = op(e2,e2) ),
introduced(tautology,[equality,[$cnf( ~ $equal(e3,op(e2,e2)) ),[0],$fot(op(op(op(e1,e1),op(e1,e1)),op(op(e1,e1),op(e1,e1))))]]) ).
cnf(refute_17_23,plain,
( e3 != op(op(op(e1,e1),op(e1,e1)),op(op(e1,e1),op(e1,e1)))
| e3 = op(e2,e2) ),
inference(resolve,[$cnf( $equal(op(op(op(e1,e1),op(e1,e1)),op(op(e1,e1),op(e1,e1))),op(e2,e2)) )],[refute_17_21,refute_17_22]) ).
cnf(refute_17_24,plain,
e3 = op(e2,e2),
inference(resolve,[$cnf( $equal(e3,op(op(op(e1,e1),op(e1,e1)),op(op(e1,e1),op(e1,e1)))) )],[refute_17_2,refute_17_23]) ).
cnf(refute_17_25,plain,
( e3 != op(e2,e2)
| op(e2,e2) = e3 ),
inference(subst,[],[refute_17_6:[bind(X,$fot(e3)),bind(Y,$fot(op(e2,e2)))]]) ).
cnf(refute_17_26,plain,
op(e2,e2) = e3,
inference(resolve,[$cnf( $equal(e3,op(e2,e2)) )],[refute_17_24,refute_17_25]) ).
cnf(refute_17_27,plain,
( op(e2,e2) != e3
| op(e2,e2) != e4
| e3 = e4 ),
introduced(tautology,[equality,[$cnf( $equal(op(e2,e2),e4) ),[0],$fot(e3)]]) ).
cnf(refute_17_28,plain,
( op(e2,e2) != e4
| e3 = e4 ),
inference(resolve,[$cnf( $equal(op(e2,e2),e3) )],[refute_17_26,refute_17_27]) ).
cnf(refute_17_29,plain,
( e3 = e4
| op(e0,e2) = e4
| op(e1,e2) = e4
| op(e3,e2) = e4
| op(e4,e2) = e4 ),
inference(resolve,[$cnf( $equal(op(e2,e2),e4) )],[refute_17_1,refute_17_28]) ).
cnf(refute_17_30,plain,
e3 != e4,
inference(canonicalize,[],[normalize_17_8]) ).
cnf(refute_17_31,plain,
( op(e0,e2) = e4
| op(e1,e2) = e4
| op(e3,e2) = e4
| op(e4,e2) = e4 ),
inference(resolve,[$cnf( $equal(e3,e4) )],[refute_17_29,refute_17_30]) ).
cnf(refute_17_32,plain,
op(e1,e1) != op(e1,e2),
inference(canonicalize,[],[normalize_17_10]) ).
cnf(refute_17_33,plain,
e4 = op(e1,e1),
inference(canonicalize,[],[normalize_17_11]) ).
cnf(refute_17_34,plain,
( e4 != op(e1,e1)
| op(e1,e1) = e4 ),
inference(subst,[],[refute_17_6:[bind(X,$fot(e4)),bind(Y,$fot(op(e1,e1)))]]) ).
cnf(refute_17_35,plain,
op(e1,e1) = e4,
inference(resolve,[$cnf( $equal(e4,op(e1,e1)) )],[refute_17_33,refute_17_34]) ).
cnf(refute_17_36,plain,
( e4 != op(e1,e2)
| op(e1,e1) != e4
| op(e1,e1) = op(e1,e2) ),
introduced(tautology,[equality,[$cnf( $equal(op(e1,e1),e4) ),[1],$fot(op(e1,e2))]]) ).
cnf(refute_17_37,plain,
( e4 != op(e1,e2)
| op(e1,e1) = op(e1,e2) ),
inference(resolve,[$cnf( $equal(op(e1,e1),e4) )],[refute_17_35,refute_17_36]) ).
cnf(refute_17_38,plain,
e4 != op(e1,e2),
inference(resolve,[$cnf( $equal(op(e1,e1),op(e1,e2)) )],[refute_17_37,refute_17_32]) ).
cnf(refute_17_39,plain,
( op(e1,e2) != e4
| e4 = op(e1,e2) ),
inference(subst,[],[refute_17_6:[bind(X,$fot(op(e1,e2))),bind(Y,$fot(e4))]]) ).
cnf(refute_17_40,plain,
op(e1,e2) != e4,
inference(resolve,[$cnf( $equal(e4,op(e1,e2)) )],[refute_17_39,refute_17_38]) ).
cnf(refute_17_41,plain,
( op(e0,e2) = e4
| op(e3,e2) = e4
| op(e4,e2) = e4 ),
inference(resolve,[$cnf( $equal(op(e1,e2),e4) )],[refute_17_31,refute_17_40]) ).
cnf(refute_17_42,plain,
op(unit,e2) = e2,
inference(canonicalize,[],[normalize_17_13]) ).
cnf(refute_17_43,plain,
op(e1,e3) != op(e3,e3),
inference(canonicalize,[],[normalize_17_14]) ).
cnf(refute_17_44,plain,
( op(e0,e0) = e1
| op(e1,e1) = e1
| op(e2,e2) = e1
| op(e3,e3) = e1
| op(e4,e4) = e1 ),
inference(canonicalize,[],[normalize_17_15]) ).
cnf(refute_17_45,plain,
( op(e1,e1) != e1
| op(e1,e1) != e4
| e4 = e1 ),
introduced(tautology,[equality,[$cnf( $equal(op(e1,e1),e1) ),[0],$fot(e4)]]) ).
cnf(refute_17_46,plain,
( op(e1,e1) != e1
| e4 = e1 ),
inference(resolve,[$cnf( $equal(op(e1,e1),e4) )],[refute_17_35,refute_17_45]) ).
cnf(refute_17_47,plain,
( e4 = e1
| op(e0,e0) = e1
| op(e2,e2) = e1
| op(e3,e3) = e1
| op(e4,e4) = e1 ),
inference(resolve,[$cnf( $equal(op(e1,e1),e1) )],[refute_17_44,refute_17_46]) ).
cnf(refute_17_48,plain,
( op(e2,e2) != e1
| op(e2,e2) != e3
| e3 = e1 ),
introduced(tautology,[equality,[$cnf( $equal(op(e2,e2),e1) ),[0],$fot(e3)]]) ).
cnf(refute_17_49,plain,
( op(e2,e2) != e1
| e3 = e1 ),
inference(resolve,[$cnf( $equal(op(e2,e2),e3) )],[refute_17_26,refute_17_48]) ).
cnf(refute_17_50,plain,
( e3 = e1
| e4 = e1
| op(e0,e0) = e1
| op(e3,e3) = e1
| op(e4,e4) = e1 ),
inference(resolve,[$cnf( $equal(op(e2,e2),e1) )],[refute_17_47,refute_17_49]) ).
cnf(refute_17_51,plain,
op(e4,op(e1,e1)) = op(e4,op(e1,e1)),
introduced(tautology,[refl,[$fot(op(e4,op(e1,e1)))]]) ).
cnf(refute_17_52,plain,
( op(e1,e1) != e4
| op(e4,op(e1,e1)) != op(e4,op(e1,e1))
| op(e4,op(e1,e1)) = op(e4,e4) ),
introduced(tautology,[equality,[$cnf( $equal(op(e4,op(e1,e1)),op(e4,op(e1,e1))) ),[1,1],$fot(e4)]]) ).
cnf(refute_17_53,plain,
( op(e1,e1) != e4
| op(e4,op(e1,e1)) = op(e4,e4) ),
inference(resolve,[$cnf( $equal(op(e4,op(e1,e1)),op(e4,op(e1,e1))) )],[refute_17_51,refute_17_52]) ).
cnf(refute_17_54,plain,
op(e4,op(e1,e1)) = op(e4,e4),
inference(resolve,[$cnf( $equal(op(e1,e1),e4) )],[refute_17_35,refute_17_53]) ).
cnf(refute_17_55,plain,
op(op(e1,e1),op(e1,e1)) = op(op(e1,e1),op(e1,e1)),
introduced(tautology,[refl,[$fot(op(op(e1,e1),op(e1,e1)))]]) ).
cnf(refute_17_56,plain,
( op(e1,e1) != e4
| op(op(e1,e1),op(e1,e1)) != op(op(e1,e1),op(e1,e1))
| op(op(e1,e1),op(e1,e1)) = op(e4,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(e4)]]) ).
cnf(refute_17_57,plain,
( op(e1,e1) != e4
| op(op(e1,e1),op(e1,e1)) = op(e4,op(e1,e1)) ),
inference(resolve,[$cnf( $equal(op(op(e1,e1),op(e1,e1)),op(op(e1,e1),op(e1,e1))) )],[refute_17_55,refute_17_56]) ).
cnf(refute_17_58,plain,
op(op(e1,e1),op(e1,e1)) = op(e4,op(e1,e1)),
inference(resolve,[$cnf( $equal(op(e1,e1),e4) )],[refute_17_35,refute_17_57]) ).
cnf(refute_17_59,plain,
( op(e4,op(e1,e1)) != op(e4,e4)
| op(op(e1,e1),op(e1,e1)) != op(e4,op(e1,e1))
| op(op(e1,e1),op(e1,e1)) = op(e4,e4) ),
inference(subst,[],[refute_17_18:[bind(X,$fot(op(op(e1,e1),op(e1,e1)))),bind(Y,$fot(op(e4,op(e1,e1)))),bind(Z,$fot(op(e4,e4)))]]) ).
cnf(refute_17_60,plain,
( op(e4,op(e1,e1)) != op(e4,e4)
| op(op(e1,e1),op(e1,e1)) = op(e4,e4) ),
inference(resolve,[$cnf( $equal(op(op(e1,e1),op(e1,e1)),op(e4,op(e1,e1))) )],[refute_17_58,refute_17_59]) ).
cnf(refute_17_61,plain,
op(op(e1,e1),op(e1,e1)) = op(e4,e4),
inference(resolve,[$cnf( $equal(op(e4,op(e1,e1)),op(e4,e4)) )],[refute_17_54,refute_17_60]) ).
cnf(refute_17_62,plain,
( e2 != op(op(e1,e1),op(e1,e1))
| op(op(e1,e1),op(e1,e1)) != op(e4,e4)
| e2 = op(e4,e4) ),
introduced(tautology,[equality,[$cnf( ~ $equal(e2,op(e4,e4)) ),[0],$fot(op(op(e1,e1),op(e1,e1)))]]) ).
cnf(refute_17_63,plain,
( e2 != op(op(e1,e1),op(e1,e1))
| e2 = op(e4,e4) ),
inference(resolve,[$cnf( $equal(op(op(e1,e1),op(e1,e1)),op(e4,e4)) )],[refute_17_61,refute_17_62]) ).
cnf(refute_17_64,plain,
e2 = op(e4,e4),
inference(resolve,[$cnf( $equal(e2,op(op(e1,e1),op(e1,e1))) )],[refute_17_3,refute_17_63]) ).
cnf(refute_17_65,plain,
( e2 != op(e4,e4)
| op(e4,e4) = e2 ),
inference(subst,[],[refute_17_6:[bind(X,$fot(e2)),bind(Y,$fot(op(e4,e4)))]]) ).
cnf(refute_17_66,plain,
op(e4,e4) = e2,
inference(resolve,[$cnf( $equal(e2,op(e4,e4)) )],[refute_17_64,refute_17_65]) ).
cnf(refute_17_67,plain,
( op(e4,e4) != e1
| op(e4,e4) != e2
| e2 = e1 ),
introduced(tautology,[equality,[$cnf( $equal(op(e4,e4),e1) ),[0],$fot(e2)]]) ).
cnf(refute_17_68,plain,
( op(e4,e4) != e1
| e2 = e1 ),
inference(resolve,[$cnf( $equal(op(e4,e4),e2) )],[refute_17_66,refute_17_67]) ).
cnf(refute_17_69,plain,
( e2 = e1
| e3 = e1
| e4 = e1
| op(e0,e0) = e1
| op(e3,e3) = e1 ),
inference(resolve,[$cnf( $equal(op(e4,e4),e1) )],[refute_17_50,refute_17_68]) ).
cnf(refute_17_70,plain,
e1 != e2,
inference(canonicalize,[],[normalize_17_16]) ).
cnf(refute_17_71,plain,
( e2 != e1
| e1 = e2 ),
inference(subst,[],[refute_17_6:[bind(X,$fot(e2)),bind(Y,$fot(e1))]]) ).
cnf(refute_17_72,plain,
e2 != e1,
inference(resolve,[$cnf( $equal(e1,e2) )],[refute_17_71,refute_17_70]) ).
cnf(refute_17_73,plain,
( e3 = e1
| e4 = e1
| op(e0,e0) = e1
| op(e3,e3) = e1 ),
inference(resolve,[$cnf( $equal(e2,e1) )],[refute_17_69,refute_17_72]) ).
cnf(refute_17_74,plain,
e1 != e3,
inference(canonicalize,[],[normalize_17_17]) ).
cnf(refute_17_75,plain,
( e3 != e1
| e1 = e3 ),
inference(subst,[],[refute_17_6:[bind(X,$fot(e3)),bind(Y,$fot(e1))]]) ).
cnf(refute_17_76,plain,
e3 != e1,
inference(resolve,[$cnf( $equal(e1,e3) )],[refute_17_75,refute_17_74]) ).
cnf(refute_17_77,plain,
( e4 = e1
| op(e0,e0) = e1
| op(e3,e3) = e1 ),
inference(resolve,[$cnf( $equal(e3,e1) )],[refute_17_73,refute_17_76]) ).
cnf(refute_17_78,plain,
e1 != e4,
inference(canonicalize,[],[normalize_17_18]) ).
cnf(refute_17_79,plain,
( e4 != e1
| e1 = e4 ),
inference(subst,[],[refute_17_6:[bind(X,$fot(e4)),bind(Y,$fot(e1))]]) ).
cnf(refute_17_80,plain,
e4 != e1,
inference(resolve,[$cnf( $equal(e1,e4) )],[refute_17_79,refute_17_78]) ).
cnf(refute_17_81,plain,
( op(e0,e0) = e1
| op(e3,e3) = e1 ),
inference(resolve,[$cnf( $equal(e4,e1) )],[refute_17_77,refute_17_80]) ).
cnf(refute_17_82,plain,
( op(e1,e3) != e1
| op(e3,e3) != e1
| op(e1,e3) = op(e3,e3) ),
introduced(tautology,[equality,[$cnf( ~ $equal(op(e1,e3),op(e3,e3)) ),[1],$fot(e1)]]) ).
cnf(refute_17_83,plain,
( op(e1,e3) != e1
| op(e0,e0) = e1
| op(e1,e3) = op(e3,e3) ),
inference(resolve,[$cnf( $equal(op(e3,e3),e1) )],[refute_17_81,refute_17_82]) ).
cnf(refute_17_84,plain,
( op(e1,e3) != e1
| op(e0,e0) = e1 ),
inference(resolve,[$cnf( $equal(op(e1,e3),op(e3,e3)) )],[refute_17_83,refute_17_43]) ).
cnf(refute_17_85,plain,
op(e1,unit) = e1,
inference(canonicalize,[],[normalize_17_19]) ).
cnf(refute_17_86,plain,
op(unit,e4) = e4,
inference(canonicalize,[],[normalize_17_20]) ).
cnf(refute_17_87,plain,
op(unit,e1) = e1,
inference(canonicalize,[],[normalize_17_21]) ).
cnf(refute_17_88,plain,
( unit = e0
| unit = e1
| unit = e2
| unit = e3
| unit = e4 ),
inference(canonicalize,[],[normalize_17_22]) ).
cnf(refute_17_89,plain,
( op(unit,e1) != e1
| unit != e1
| op(e1,e1) = e1 ),
introduced(tautology,[equality,[$cnf( $equal(op(unit,e1),e1) ),[0,0],$fot(e1)]]) ).
cnf(refute_17_90,plain,
( op(unit,e1) != e1
| op(e1,e1) = e1
| unit = e0
| unit = e2
| unit = e3
| unit = e4 ),
inference(resolve,[$cnf( $equal(unit,e1) )],[refute_17_88,refute_17_89]) ).
cnf(refute_17_91,plain,
( op(e1,e1) = e1
| unit = e0
| unit = e2
| unit = e3
| unit = e4 ),
inference(resolve,[$cnf( $equal(op(unit,e1),e1) )],[refute_17_87,refute_17_90]) ).
cnf(refute_17_92,plain,
( e4 = e1
| unit = e0
| unit = e2
| unit = e3
| unit = e4 ),
inference(resolve,[$cnf( $equal(op(e1,e1),e1) )],[refute_17_91,refute_17_46]) ).
cnf(refute_17_93,plain,
( unit = e0
| unit = e2
| unit = e3
| unit = e4 ),
inference(resolve,[$cnf( $equal(e4,e1) )],[refute_17_92,refute_17_80]) ).
cnf(refute_17_94,plain,
( op(e1,unit) != e1
| unit != e2
| op(e1,e2) = e1 ),
introduced(tautology,[equality,[$cnf( $equal(op(e1,unit),e1) ),[0,1],$fot(e2)]]) ).
cnf(refute_17_95,plain,
( op(e1,unit) != e1
| op(e1,e2) = e1
| unit = e0
| unit = e3
| unit = e4 ),
inference(resolve,[$cnf( $equal(unit,e2) )],[refute_17_93,refute_17_94]) ).
cnf(refute_17_96,plain,
( op(e1,e2) = e1
| unit = e0
| unit = e3
| unit = e4 ),
inference(resolve,[$cnf( $equal(op(e1,unit),e1) )],[refute_17_85,refute_17_95]) ).
cnf(refute_17_97,plain,
e0 = op(e1,op(op(e1,e1),op(e1,e1))),
inference(canonicalize,[],[normalize_17_23]) ).
cnf(refute_17_98,plain,
op(e1,op(op(e1,e1),op(e1,e1))) = op(e1,op(op(e1,e1),op(e1,e1))),
introduced(tautology,[refl,[$fot(op(e1,op(op(e1,e1),op(e1,e1))))]]) ).
cnf(refute_17_99,plain,
( op(e1,op(op(e1,e1),op(e1,e1))) != op(e1,op(op(e1,e1),op(e1,e1)))
| op(op(e1,e1),op(e1,e1)) != e2
| op(e1,op(op(e1,e1),op(e1,e1))) = op(e1,e2) ),
introduced(tautology,[equality,[$cnf( $equal(op(e1,op(op(e1,e1),op(e1,e1))),op(e1,op(op(e1,e1),op(e1,e1)))) ),[1,1],$fot(e2)]]) ).
cnf(refute_17_100,plain,
( op(op(e1,e1),op(e1,e1)) != e2
| op(e1,op(op(e1,e1),op(e1,e1))) = op(e1,e2) ),
inference(resolve,[$cnf( $equal(op(e1,op(op(e1,e1),op(e1,e1))),op(e1,op(op(e1,e1),op(e1,e1)))) )],[refute_17_98,refute_17_99]) ).
cnf(refute_17_101,plain,
op(e1,op(op(e1,e1),op(e1,e1))) = op(e1,e2),
inference(resolve,[$cnf( $equal(op(op(e1,e1),op(e1,e1)),e2) )],[refute_17_8,refute_17_100]) ).
cnf(refute_17_102,plain,
( e0 != op(e1,op(op(e1,e1),op(e1,e1)))
| op(e1,op(op(e1,e1),op(e1,e1))) != op(e1,e2)
| e0 = op(e1,e2) ),
introduced(tautology,[equality,[$cnf( ~ $equal(e0,op(e1,e2)) ),[0],$fot(op(e1,op(op(e1,e1),op(e1,e1))))]]) ).
cnf(refute_17_103,plain,
( e0 != op(e1,op(op(e1,e1),op(e1,e1)))
| e0 = op(e1,e2) ),
inference(resolve,[$cnf( $equal(op(e1,op(op(e1,e1),op(e1,e1))),op(e1,e2)) )],[refute_17_101,refute_17_102]) ).
cnf(refute_17_104,plain,
e0 = op(e1,e2),
inference(resolve,[$cnf( $equal(e0,op(e1,op(op(e1,e1),op(e1,e1)))) )],[refute_17_97,refute_17_103]) ).
cnf(refute_17_105,plain,
( e0 != op(e1,e2)
| op(e1,e2) = e0 ),
inference(subst,[],[refute_17_6:[bind(X,$fot(e0)),bind(Y,$fot(op(e1,e2)))]]) ).
cnf(refute_17_106,plain,
op(e1,e2) = e0,
inference(resolve,[$cnf( $equal(e0,op(e1,e2)) )],[refute_17_104,refute_17_105]) ).
cnf(refute_17_107,plain,
( op(e1,e2) != e0
| op(e1,e2) != e1
| e0 = e1 ),
introduced(tautology,[equality,[$cnf( $equal(op(e1,e2),e1) ),[0],$fot(e0)]]) ).
cnf(refute_17_108,plain,
( op(e1,e2) != e1
| e0 = e1 ),
inference(resolve,[$cnf( $equal(op(e1,e2),e0) )],[refute_17_106,refute_17_107]) ).
cnf(refute_17_109,plain,
( e0 = e1
| unit = e0
| unit = e3
| unit = e4 ),
inference(resolve,[$cnf( $equal(op(e1,e2),e1) )],[refute_17_96,refute_17_108]) ).
cnf(refute_17_110,plain,
e0 != e1,
inference(canonicalize,[],[normalize_17_24]) ).
cnf(refute_17_111,plain,
( unit = e0
| unit = e3
| unit = e4 ),
inference(resolve,[$cnf( $equal(e0,e1) )],[refute_17_109,refute_17_110]) ).
cnf(refute_17_112,plain,
( op(unit,e4) != e4
| unit != e4
| op(e4,e4) = e4 ),
introduced(tautology,[equality,[$cnf( $equal(op(unit,e4),e4) ),[0,0],$fot(e4)]]) ).
cnf(refute_17_113,plain,
( op(unit,e4) != e4
| op(e4,e4) = e4
| unit = e0
| unit = e3 ),
inference(resolve,[$cnf( $equal(unit,e4) )],[refute_17_111,refute_17_112]) ).
cnf(refute_17_114,plain,
( op(e4,e4) = e4
| unit = e0
| unit = e3 ),
inference(resolve,[$cnf( $equal(op(unit,e4),e4) )],[refute_17_86,refute_17_113]) ).
cnf(refute_17_115,plain,
( op(e4,e4) != e2
| op(e4,e4) != e4
| e2 = e4 ),
introduced(tautology,[equality,[$cnf( $equal(op(e4,e4),e4) ),[0],$fot(e2)]]) ).
cnf(refute_17_116,plain,
( op(e4,e4) != e4
| e2 = e4 ),
inference(resolve,[$cnf( $equal(op(e4,e4),e2) )],[refute_17_66,refute_17_115]) ).
cnf(refute_17_117,plain,
( e2 = e4
| unit = e0
| unit = e3 ),
inference(resolve,[$cnf( $equal(op(e4,e4),e4) )],[refute_17_114,refute_17_116]) ).
cnf(refute_17_118,plain,
e2 != e4,
inference(canonicalize,[],[normalize_17_25]) ).
cnf(refute_17_119,plain,
( unit = e0
| unit = e3 ),
inference(resolve,[$cnf( $equal(e2,e4) )],[refute_17_117,refute_17_118]) ).
cnf(refute_17_120,plain,
( op(e1,unit) != e1
| unit != e3
| op(e1,e3) = e1 ),
introduced(tautology,[equality,[$cnf( $equal(op(e1,unit),e1) ),[0,1],$fot(e3)]]) ).
cnf(refute_17_121,plain,
( op(e1,unit) != e1
| op(e1,e3) = e1
| unit = e0 ),
inference(resolve,[$cnf( $equal(unit,e3) )],[refute_17_119,refute_17_120]) ).
cnf(refute_17_122,plain,
( op(e1,e3) = e1
| unit = e0 ),
inference(resolve,[$cnf( $equal(op(e1,unit),e1) )],[refute_17_85,refute_17_121]) ).
cnf(refute_17_123,plain,
( e1 != e1
| op(e1,e3) != e1
| op(e1,e3) = e1 ),
introduced(tautology,[equality,[$cnf( $equal(op(e1,e3),e1) ),[0,0],$fot(e1)]]) ).
cnf(refute_17_124,plain,
( e1 != e1
| op(e1,e3) = e1
| unit = e0 ),
inference(resolve,[$cnf( $equal(op(e1,e3),e1) )],[refute_17_122,refute_17_123]) ).
cnf(refute_17_125,plain,
( e1 != e1
| op(e0,e0) = e1
| unit = e0 ),
inference(resolve,[$cnf( $equal(op(e1,e3),e1) )],[refute_17_124,refute_17_84]) ).
cnf(refute_17_126,plain,
e1 = e1,
introduced(tautology,[refl,[$fot(e1)]]) ).
cnf(refute_17_127,plain,
( op(e0,e0) = e1
| unit = e0 ),
inference(resolve,[$cnf( $equal(e1,e1) )],[refute_17_126,refute_17_125]) ).
cnf(refute_17_128,plain,
op(e3,e0) != op(e3,e3),
inference(canonicalize,[],[normalize_17_26]) ).
cnf(refute_17_129,plain,
( op(e0,e0) = e0
| op(e1,e1) = e0
| op(e2,e2) = e0
| op(e3,e3) = e0
| op(e4,e4) = e0 ),
inference(canonicalize,[],[normalize_17_27]) ).
cnf(refute_17_130,plain,
( op(e1,e1) != e0
| op(e1,e1) != e4
| e4 = e0 ),
introduced(tautology,[equality,[$cnf( $equal(op(e1,e1),e0) ),[0],$fot(e4)]]) ).
cnf(refute_17_131,plain,
( op(e1,e1) != e0
| e4 = e0 ),
inference(resolve,[$cnf( $equal(op(e1,e1),e4) )],[refute_17_35,refute_17_130]) ).
cnf(refute_17_132,plain,
( e4 = e0
| op(e0,e0) = e0
| op(e2,e2) = e0
| op(e3,e3) = e0
| op(e4,e4) = e0 ),
inference(resolve,[$cnf( $equal(op(e1,e1),e0) )],[refute_17_129,refute_17_131]) ).
cnf(refute_17_133,plain,
( op(e2,e2) != e0
| op(e2,e2) != e3
| e3 = e0 ),
introduced(tautology,[equality,[$cnf( $equal(op(e2,e2),e0) ),[0],$fot(e3)]]) ).
cnf(refute_17_134,plain,
( op(e2,e2) != e0
| e3 = e0 ),
inference(resolve,[$cnf( $equal(op(e2,e2),e3) )],[refute_17_26,refute_17_133]) ).
cnf(refute_17_135,plain,
( e3 = e0
| e4 = e0
| op(e0,e0) = e0
| op(e3,e3) = e0
| op(e4,e4) = e0 ),
inference(resolve,[$cnf( $equal(op(e2,e2),e0) )],[refute_17_132,refute_17_134]) ).
cnf(refute_17_136,plain,
( op(e4,e4) != e0
| op(e4,e4) != e2
| e2 = e0 ),
introduced(tautology,[equality,[$cnf( $equal(op(e4,e4),e0) ),[0],$fot(e2)]]) ).
cnf(refute_17_137,plain,
( op(e4,e4) != e0
| e2 = e0 ),
inference(resolve,[$cnf( $equal(op(e4,e4),e2) )],[refute_17_66,refute_17_136]) ).
cnf(refute_17_138,plain,
( e2 = e0
| e3 = e0
| e4 = e0
| op(e0,e0) = e0
| op(e3,e3) = e0 ),
inference(resolve,[$cnf( $equal(op(e4,e4),e0) )],[refute_17_135,refute_17_137]) ).
cnf(refute_17_139,plain,
e0 != e2,
inference(canonicalize,[],[normalize_17_28]) ).
cnf(refute_17_140,plain,
( e2 != e0
| e0 = e2 ),
inference(subst,[],[refute_17_6:[bind(X,$fot(e2)),bind(Y,$fot(e0))]]) ).
cnf(refute_17_141,plain,
e2 != e0,
inference(resolve,[$cnf( $equal(e0,e2) )],[refute_17_140,refute_17_139]) ).
cnf(refute_17_142,plain,
( e3 = e0
| e4 = e0
| op(e0,e0) = e0
| op(e3,e3) = e0 ),
inference(resolve,[$cnf( $equal(e2,e0) )],[refute_17_138,refute_17_141]) ).
cnf(refute_17_143,plain,
e0 != e3,
inference(canonicalize,[],[normalize_17_29]) ).
cnf(refute_17_144,plain,
( e3 != e0
| e0 = e3 ),
inference(subst,[],[refute_17_6:[bind(X,$fot(e3)),bind(Y,$fot(e0))]]) ).
cnf(refute_17_145,plain,
e3 != e0,
inference(resolve,[$cnf( $equal(e0,e3) )],[refute_17_144,refute_17_143]) ).
cnf(refute_17_146,plain,
( e4 = e0
| op(e0,e0) = e0
| op(e3,e3) = e0 ),
inference(resolve,[$cnf( $equal(e3,e0) )],[refute_17_142,refute_17_145]) ).
cnf(refute_17_147,plain,
e0 != e4,
inference(canonicalize,[],[normalize_17_30]) ).
cnf(refute_17_148,plain,
( e4 != e0
| e0 = e4 ),
inference(subst,[],[refute_17_6:[bind(X,$fot(e4)),bind(Y,$fot(e0))]]) ).
cnf(refute_17_149,plain,
e4 != e0,
inference(resolve,[$cnf( $equal(e0,e4) )],[refute_17_148,refute_17_147]) ).
cnf(refute_17_150,plain,
( op(e0,e0) = e0
| op(e3,e3) = e0 ),
inference(resolve,[$cnf( $equal(e4,e0) )],[refute_17_146,refute_17_149]) ).
cnf(refute_17_151,plain,
( op(e3,e0) != e0
| op(e3,e3) != e0
| op(e3,e0) = op(e3,e3) ),
introduced(tautology,[equality,[$cnf( ~ $equal(op(e3,e0),op(e3,e3)) ),[1],$fot(e0)]]) ).
cnf(refute_17_152,plain,
( op(e3,e0) != e0
| op(e0,e0) = e0
| op(e3,e0) = op(e3,e3) ),
inference(resolve,[$cnf( $equal(op(e3,e3),e0) )],[refute_17_150,refute_17_151]) ).
cnf(refute_17_153,plain,
( op(e3,e0) != e0
| op(e0,e0) = e0 ),
inference(resolve,[$cnf( $equal(op(e3,e0),op(e3,e3)) )],[refute_17_152,refute_17_128]) ).
cnf(refute_17_154,plain,
op(unit,e0) = e0,
inference(canonicalize,[],[normalize_17_31]) ).
cnf(refute_17_155,plain,
( op(unit,e0) != e0
| unit != e3
| op(e3,e0) = e0 ),
introduced(tautology,[equality,[$cnf( $equal(op(unit,e0),e0) ),[0,0],$fot(e3)]]) ).
cnf(refute_17_156,plain,
( op(unit,e0) != e0
| op(e3,e0) = e0
| unit = e0 ),
inference(resolve,[$cnf( $equal(unit,e3) )],[refute_17_119,refute_17_155]) ).
cnf(refute_17_157,plain,
( op(e3,e0) = e0
| unit = e0 ),
inference(resolve,[$cnf( $equal(op(unit,e0),e0) )],[refute_17_154,refute_17_156]) ).
cnf(refute_17_158,plain,
( e0 != e0
| op(e3,e0) != e0
| op(e3,e0) = e0 ),
introduced(tautology,[equality,[$cnf( $equal(op(e3,e0),e0) ),[0,1],$fot(e0)]]) ).
cnf(refute_17_159,plain,
( e0 != e0
| op(e3,e0) = e0
| unit = e0 ),
inference(resolve,[$cnf( $equal(op(e3,e0),e0) )],[refute_17_157,refute_17_158]) ).
cnf(refute_17_160,plain,
( e0 != e0
| op(e0,e0) = e0
| unit = e0 ),
inference(resolve,[$cnf( $equal(op(e3,e0),e0) )],[refute_17_159,refute_17_153]) ).
cnf(refute_17_161,plain,
e0 = e0,
introduced(tautology,[refl,[$fot(e0)]]) ).
cnf(refute_17_162,plain,
( op(e0,e0) = e0
| unit = e0 ),
inference(resolve,[$cnf( $equal(e0,e0) )],[refute_17_161,refute_17_160]) ).
cnf(refute_17_163,plain,
( op(e0,e0) != e0
| op(e0,e0) != e1
| e0 = e1 ),
introduced(tautology,[equality,[$cnf( $equal(op(e0,e0),e1) ),[0],$fot(e0)]]) ).
cnf(refute_17_164,plain,
( op(e0,e0) != e1
| e0 = e1
| unit = e0 ),
inference(resolve,[$cnf( $equal(op(e0,e0),e0) )],[refute_17_162,refute_17_163]) ).
cnf(refute_17_165,plain,
( e0 = e1
| unit = e0 ),
inference(resolve,[$cnf( $equal(op(e0,e0),e1) )],[refute_17_127,refute_17_164]) ).
cnf(refute_17_166,plain,
unit = e0,
inference(resolve,[$cnf( $equal(e0,e1) )],[refute_17_165,refute_17_110]) ).
cnf(refute_17_167,plain,
op(unit,e2) = op(unit,e2),
introduced(tautology,[refl,[$fot(op(unit,e2))]]) ).
cnf(refute_17_168,plain,
( op(unit,e2) != op(unit,e2)
| unit != e0
| op(unit,e2) = op(e0,e2) ),
introduced(tautology,[equality,[$cnf( $equal(op(unit,e2),op(unit,e2)) ),[1,0],$fot(e0)]]) ).
cnf(refute_17_169,plain,
( unit != e0
| op(unit,e2) = op(e0,e2) ),
inference(resolve,[$cnf( $equal(op(unit,e2),op(unit,e2)) )],[refute_17_167,refute_17_168]) ).
cnf(refute_17_170,plain,
op(unit,e2) = op(e0,e2),
inference(resolve,[$cnf( $equal(unit,e0) )],[refute_17_166,refute_17_169]) ).
cnf(refute_17_171,plain,
( op(unit,e2) != e2
| op(unit,e2) != op(e0,e2)
| op(e0,e2) = e2 ),
introduced(tautology,[equality,[$cnf( $equal(op(unit,e2),e2) ),[0],$fot(op(e0,e2))]]) ).
cnf(refute_17_172,plain,
( op(unit,e2) != e2
| op(e0,e2) = e2 ),
inference(resolve,[$cnf( $equal(op(unit,e2),op(e0,e2)) )],[refute_17_170,refute_17_171]) ).
cnf(refute_17_173,plain,
op(e0,e2) = e2,
inference(resolve,[$cnf( $equal(op(unit,e2),e2) )],[refute_17_42,refute_17_172]) ).
cnf(refute_17_174,plain,
( op(e0,e2) != e2
| op(e0,e2) != e4
| e2 = e4 ),
introduced(tautology,[equality,[$cnf( $equal(op(e0,e2),e4) ),[0],$fot(e2)]]) ).
cnf(refute_17_175,plain,
( op(e0,e2) != e4
| e2 = e4 ),
inference(resolve,[$cnf( $equal(op(e0,e2),e2) )],[refute_17_173,refute_17_174]) ).
cnf(refute_17_176,plain,
( e2 = e4
| op(e3,e2) = e4
| op(e4,e2) = e4 ),
inference(resolve,[$cnf( $equal(op(e0,e2),e4) )],[refute_17_41,refute_17_175]) ).
cnf(refute_17_177,plain,
( op(e3,e2) = e4
| op(e4,e2) = e4 ),
inference(resolve,[$cnf( $equal(e2,e4) )],[refute_17_176,refute_17_118]) ).
cnf(refute_17_178,plain,
op(e4,e0) != op(e4,e2),
inference(canonicalize,[],[normalize_17_32]) ).
cnf(refute_17_179,plain,
op(e4,unit) = e4,
inference(canonicalize,[],[normalize_17_33]) ).
cnf(refute_17_180,plain,
op(e4,unit) = op(e4,unit),
introduced(tautology,[refl,[$fot(op(e4,unit))]]) ).
cnf(refute_17_181,plain,
( op(e4,unit) != op(e4,unit)
| unit != e0
| op(e4,unit) = op(e4,e0) ),
introduced(tautology,[equality,[$cnf( $equal(op(e4,unit),op(e4,unit)) ),[1,1],$fot(e0)]]) ).
cnf(refute_17_182,plain,
( unit != e0
| op(e4,unit) = op(e4,e0) ),
inference(resolve,[$cnf( $equal(op(e4,unit),op(e4,unit)) )],[refute_17_180,refute_17_181]) ).
cnf(refute_17_183,plain,
op(e4,unit) = op(e4,e0),
inference(resolve,[$cnf( $equal(unit,e0) )],[refute_17_166,refute_17_182]) ).
cnf(refute_17_184,plain,
( op(e4,unit) != e4
| op(e4,unit) != op(e4,e0)
| op(e4,e0) = e4 ),
introduced(tautology,[equality,[$cnf( $equal(op(e4,unit),e4) ),[0],$fot(op(e4,e0))]]) ).
cnf(refute_17_185,plain,
( op(e4,unit) != e4
| op(e4,e0) = e4 ),
inference(resolve,[$cnf( $equal(op(e4,unit),op(e4,e0)) )],[refute_17_183,refute_17_184]) ).
cnf(refute_17_186,plain,
op(e4,e0) = e4,
inference(resolve,[$cnf( $equal(op(e4,unit),e4) )],[refute_17_179,refute_17_185]) ).
cnf(refute_17_187,plain,
( e4 != op(e4,e2)
| op(e4,e0) != e4
| op(e4,e0) = op(e4,e2) ),
introduced(tautology,[equality,[$cnf( $equal(op(e4,e0),e4) ),[1],$fot(op(e4,e2))]]) ).
cnf(refute_17_188,plain,
( e4 != op(e4,e2)
| op(e4,e0) = op(e4,e2) ),
inference(resolve,[$cnf( $equal(op(e4,e0),e4) )],[refute_17_186,refute_17_187]) ).
cnf(refute_17_189,plain,
e4 != op(e4,e2),
inference(resolve,[$cnf( $equal(op(e4,e0),op(e4,e2)) )],[refute_17_188,refute_17_178]) ).
cnf(refute_17_190,plain,
( op(e4,e2) != e4
| e4 = op(e4,e2) ),
inference(subst,[],[refute_17_6:[bind(X,$fot(op(e4,e2))),bind(Y,$fot(e4))]]) ).
cnf(refute_17_191,plain,
op(e4,e2) != e4,
inference(resolve,[$cnf( $equal(e4,op(e4,e2)) )],[refute_17_190,refute_17_189]) ).
cnf(refute_17_192,plain,
op(e3,e2) = e4,
inference(resolve,[$cnf( $equal(op(e4,e2),e4) )],[refute_17_177,refute_17_191]) ).
cnf(refute_17_193,plain,
op(op(e3,e2),e2) = op(op(e3,e2),e2),
introduced(tautology,[refl,[$fot(op(op(e3,e2),e2))]]) ).
cnf(refute_17_194,plain,
( op(e3,e2) != e4
| op(op(e3,e2),e2) != op(op(e3,e2),e2)
| op(op(e3,e2),e2) = op(e4,e2) ),
introduced(tautology,[equality,[$cnf( $equal(op(op(e3,e2),e2),op(op(e3,e2),e2)) ),[1,0],$fot(e4)]]) ).
cnf(refute_17_195,plain,
( op(e3,e2) != e4
| op(op(e3,e2),e2) = op(e4,e2) ),
inference(resolve,[$cnf( $equal(op(op(e3,e2),e2),op(op(e3,e2),e2)) )],[refute_17_193,refute_17_194]) ).
cnf(refute_17_196,plain,
op(op(e3,e2),e2) = op(e4,e2),
inference(resolve,[$cnf( $equal(op(e3,e2),e4) )],[refute_17_192,refute_17_195]) ).
cnf(refute_17_197,plain,
( op(op(e3,e2),e2) != e3
| op(op(e3,e2),e2) != op(e4,e2)
| op(e4,e2) = e3 ),
introduced(tautology,[equality,[$cnf( $equal(op(op(e3,e2),e2),e3) ),[0],$fot(op(e4,e2))]]) ).
cnf(refute_17_198,plain,
( op(op(e3,e2),e2) != e3
| op(e4,e2) = e3 ),
inference(resolve,[$cnf( $equal(op(op(e3,e2),e2),op(e4,e2)) )],[refute_17_196,refute_17_197]) ).
cnf(refute_17_199,plain,
op(e4,e2) = e3,
inference(resolve,[$cnf( $equal(op(op(e3,e2),e2),e3) )],[refute_17_0,refute_17_198]) ).
cnf(refute_17_200,plain,
op(e2,e2) != op(e4,e2),
inference(canonicalize,[],[normalize_17_34]) ).
cnf(refute_17_201,plain,
( e3 != op(e4,e2)
| op(e2,e2) != e3
| op(e2,e2) = op(e4,e2) ),
introduced(tautology,[equality,[$cnf( $equal(op(e2,e2),e3) ),[1],$fot(op(e4,e2))]]) ).
cnf(refute_17_202,plain,
( e3 != op(e4,e2)
| op(e2,e2) = op(e4,e2) ),
inference(resolve,[$cnf( $equal(op(e2,e2),e3) )],[refute_17_26,refute_17_201]) ).
cnf(refute_17_203,plain,
e3 != op(e4,e2),
inference(resolve,[$cnf( $equal(op(e2,e2),op(e4,e2)) )],[refute_17_202,refute_17_200]) ).
cnf(refute_17_204,plain,
( op(e4,e2) != e3
| e3 = op(e4,e2) ),
inference(subst,[],[refute_17_6:[bind(X,$fot(op(e4,e2))),bind(Y,$fot(e3))]]) ).
cnf(refute_17_205,plain,
op(e4,e2) != e3,
inference(resolve,[$cnf( $equal(e3,op(e4,e2)) )],[refute_17_204,refute_17_203]) ).
cnf(refute_17_206,plain,
$false,
inference(resolve,[$cnf( $equal(op(e4,e2),e3) )],[refute_17_199,refute_17_205]) ).
fof(negate_18_0,plain,
~ ( ( ( op(e0,e0) = e0
| op(e1,e1) = e0
| op(e2,e2) = e0
| op(e3,e3) = e0
| op(e4,e4) = e0 )
& ( op(e0,e0) = e1
| op(e1,e1) = e1
| op(e2,e2) = e1
| op(e3,e3) = e1
| op(e4,e4) = e1 )
& ( op(e0,e0) = e2
| op(e1,e1) = e2
| op(e2,e2) = e2
| op(e3,e3) = e2
| op(e4,e4) = e2 )
& ( op(e0,e0) = e3
| op(e1,e1) = e3
| op(e2,e2) = e3
| op(e3,e3) = e3
| op(e4,e4) = e3 )
& ( op(e0,e0) = e4
| op(e1,e1) = e4
| op(e2,e2) = e4
| op(e3,e3) = e4
| op(e4,e4) = e4 )
& ~ ( op(e0,e0) != op(e0,e0)
& op(op(e0,e0),e0) = e0
& op(op(e0,e0),e0) != e0 )
& ~ ( op(e1,e0) != op(e0,e1)
& op(op(e0,e1),e1) = e0
& op(op(e0,e1),e0) != e1 )
& ~ ( op(e2,e0) != op(e0,e2)
& op(op(e0,e2),e2) = e0
& op(op(e0,e2),e0) != e2 )
& ~ ( op(e3,e0) != op(e0,e3)
& op(op(e0,e3),e3) = e0
& op(op(e0,e3),e0) != e3 )
& ~ ( op(e4,e0) != op(e0,e4)
& op(op(e0,e4),e4) = e0
& op(op(e0,e4),e0) != e4 )
& ~ ( op(e0,e1) != op(e1,e0)
& op(op(e1,e0),e0) = e1
& op(op(e1,e0),e1) != e0 )
& ~ ( op(e1,e1) != op(e1,e1)
& op(op(e1,e1),e1) = e1
& op(op(e1,e1),e1) != e1 )
& ~ ( op(e2,e1) != op(e1,e2)
& op(op(e1,e2),e2) = e1
& op(op(e1,e2),e1) != e2 )
& ~ ( op(e3,e1) != op(e1,e3)
& op(op(e1,e3),e3) = e1
& op(op(e1,e3),e1) != e3 )
& ~ ( op(e4,e1) != op(e1,e4)
& op(op(e1,e4),e4) = e1
& op(op(e1,e4),e1) != e4 )
& ~ ( op(e0,e2) != op(e2,e0)
& op(op(e2,e0),e0) = e2
& op(op(e2,e0),e2) != e0 )
& ~ ( op(e1,e2) != op(e2,e1)
& op(op(e2,e1),e1) = e2
& op(op(e2,e1),e2) != e1 )
& ~ ( op(e2,e2) != op(e2,e2)
& op(op(e2,e2),e2) = e2
& op(op(e2,e2),e2) != e2 )
& ~ ( op(e3,e2) != op(e2,e3)
& op(op(e2,e3),e3) = e2
& op(op(e2,e3),e2) != e3 )
& ~ ( op(e4,e2) != op(e2,e4)
& op(op(e2,e4),e4) = e2
& op(op(e2,e4),e2) != e4 )
& ~ ( op(e0,e3) != op(e3,e0)
& op(op(e3,e0),e0) = e3
& op(op(e3,e0),e3) != e0 )
& ~ ( op(e1,e3) != op(e3,e1)
& op(op(e3,e1),e1) = e3
& op(op(e3,e1),e3) != e1 )
& ~ ( op(e2,e3) != op(e3,e2)
& op(op(e3,e2),e2) = e3
& op(op(e3,e2),e3) != e2 )
& op(e3,e3) != op(e3,e3)
& op(op(e3,e3),e3) = e3 )
=> op(op(e3,e3),e3) = e3 ),
inference(negate,[],[subgoal_18]) ).
fof(normalize_18_0,plain,
$false,
inference(canonicalize,[],[negate_18_0]) ).
cnf(refute_18_0,plain,
$false,
inference(canonicalize,[],[normalize_18_0]) ).
fof(negate_19_0,plain,
~ ( ( ( op(e0,e0) = e0
| op(e1,e1) = e0
| op(e2,e2) = e0
| op(e3,e3) = e0
| op(e4,e4) = e0 )
& ( op(e0,e0) = e1
| op(e1,e1) = e1
| op(e2,e2) = e1
| op(e3,e3) = e1
| op(e4,e4) = e1 )
& ( op(e0,e0) = e2
| op(e1,e1) = e2
| op(e2,e2) = e2
| op(e3,e3) = e2
| op(e4,e4) = e2 )
& ( op(e0,e0) = e3
| op(e1,e1) = e3
| op(e2,e2) = e3
| op(e3,e3) = e3
| op(e4,e4) = e3 )
& ( op(e0,e0) = e4
| op(e1,e1) = e4
| op(e2,e2) = e4
| op(e3,e3) = e4
| op(e4,e4) = e4 )
& ~ ( op(e0,e0) != op(e0,e0)
& op(op(e0,e0),e0) = e0
& op(op(e0,e0),e0) != e0 )
& ~ ( op(e1,e0) != op(e0,e1)
& op(op(e0,e1),e1) = e0
& op(op(e0,e1),e0) != e1 )
& ~ ( op(e2,e0) != op(e0,e2)
& op(op(e0,e2),e2) = e0
& op(op(e0,e2),e0) != e2 )
& ~ ( op(e3,e0) != op(e0,e3)
& op(op(e0,e3),e3) = e0
& op(op(e0,e3),e0) != e3 )
& ~ ( op(e4,e0) != op(e0,e4)
& op(op(e0,e4),e4) = e0
& op(op(e0,e4),e0) != e4 )
& ~ ( op(e0,e1) != op(e1,e0)
& op(op(e1,e0),e0) = e1
& op(op(e1,e0),e1) != e0 )
& ~ ( op(e1,e1) != op(e1,e1)
& op(op(e1,e1),e1) = e1
& op(op(e1,e1),e1) != e1 )
& ~ ( op(e2,e1) != op(e1,e2)
& op(op(e1,e2),e2) = e1
& op(op(e1,e2),e1) != e2 )
& ~ ( op(e3,e1) != op(e1,e3)
& op(op(e1,e3),e3) = e1
& op(op(e1,e3),e1) != e3 )
& ~ ( op(e4,e1) != op(e1,e4)
& op(op(e1,e4),e4) = e1
& op(op(e1,e4),e1) != e4 )
& ~ ( op(e0,e2) != op(e2,e0)
& op(op(e2,e0),e0) = e2
& op(op(e2,e0),e2) != e0 )
& ~ ( op(e1,e2) != op(e2,e1)
& op(op(e2,e1),e1) = e2
& op(op(e2,e1),e2) != e1 )
& ~ ( op(e2,e2) != op(e2,e2)
& op(op(e2,e2),e2) = e2
& op(op(e2,e2),e2) != e2 )
& ~ ( op(e3,e2) != op(e2,e3)
& op(op(e2,e3),e3) = e2
& op(op(e2,e3),e2) != e3 )
& ~ ( op(e4,e2) != op(e2,e4)
& op(op(e2,e4),e4) = e2
& op(op(e2,e4),e2) != e4 )
& ~ ( op(e0,e3) != op(e3,e0)
& op(op(e3,e0),e0) = e3
& op(op(e3,e0),e3) != e0 )
& ~ ( op(e1,e3) != op(e3,e1)
& op(op(e3,e1),e1) = e3
& op(op(e3,e1),e3) != e1 )
& ~ ( op(e2,e3) != op(e3,e2)
& op(op(e3,e2),e2) = e3
& op(op(e3,e2),e3) != e2 )
& ~ ( op(e3,e3) != op(e3,e3)
& op(op(e3,e3),e3) = e3
& op(op(e3,e3),e3) != e3 )
& op(e4,e3) != op(e3,e4)
& op(op(e3,e4),e4) = e3 )
=> op(op(e3,e4),e3) = e4 ),
inference(negate,[],[subgoal_19]) ).
fof(normalize_19_0,plain,
( op(e0,e0) != op(e0,e1)
& op(e0,e0) != op(e0,e2)
& op(e0,e0) != op(e0,e3)
& op(e0,e0) != op(e0,e4)
& op(e0,e0) != op(e1,e0)
& op(e0,e0) != op(e2,e0)
& op(e0,e0) != op(e3,e0)
& op(e0,e0) != op(e4,e0)
& op(e0,e1) != op(e0,e2)
& op(e0,e1) != op(e0,e3)
& op(e0,e1) != op(e0,e4)
& op(e0,e1) != op(e1,e1)
& op(e0,e1) != op(e2,e1)
& op(e0,e1) != op(e3,e1)
& op(e0,e1) != op(e4,e1)
& op(e0,e2) != op(e0,e3)
& op(e0,e2) != op(e0,e4)
& op(e0,e2) != op(e1,e2)
& op(e0,e2) != op(e2,e2)
& op(e0,e2) != op(e3,e2)
& op(e0,e2) != op(e4,e2)
& op(e0,e3) != op(e0,e4)
& op(e0,e3) != op(e1,e3)
& op(e0,e3) != op(e2,e3)
& op(e0,e3) != op(e3,e3)
& op(e0,e3) != op(e4,e3)
& op(e0,e4) != op(e1,e4)
& op(e0,e4) != op(e2,e4)
& op(e0,e4) != op(e3,e4)
& op(e0,e4) != op(e4,e4)
& op(e1,e0) != op(e1,e1)
& op(e1,e0) != op(e1,e2)
& op(e1,e0) != op(e1,e3)
& op(e1,e0) != op(e1,e4)
& op(e1,e0) != op(e2,e0)
& op(e1,e0) != op(e3,e0)
& op(e1,e0) != op(e4,e0)
& op(e1,e1) != op(e1,e2)
& op(e1,e1) != op(e1,e3)
& op(e1,e1) != op(e1,e4)
& op(e1,e1) != op(e2,e1)
& op(e1,e1) != op(e3,e1)
& op(e1,e1) != op(e4,e1)
& op(e1,e2) != op(e1,e3)
& op(e1,e2) != op(e1,e4)
& op(e1,e2) != op(e2,e2)
& op(e1,e2) != op(e3,e2)
& op(e1,e2) != op(e4,e2)
& op(e1,e3) != op(e1,e4)
& op(e1,e3) != op(e2,e3)
& op(e1,e3) != op(e3,e3)
& op(e1,e3) != op(e4,e3)
& op(e1,e4) != op(e2,e4)
& op(e1,e4) != op(e3,e4)
& op(e1,e4) != op(e4,e4)
& op(e2,e0) != op(e2,e1)
& op(e2,e0) != op(e2,e2)
& op(e2,e0) != op(e2,e3)
& op(e2,e0) != op(e2,e4)
& op(e2,e0) != op(e3,e0)
& op(e2,e0) != op(e4,e0)
& op(e2,e1) != op(e2,e2)
& op(e2,e1) != op(e2,e3)
& op(e2,e1) != op(e2,e4)
& op(e2,e1) != op(e3,e1)
& op(e2,e1) != op(e4,e1)
& op(e2,e2) != op(e2,e3)
& op(e2,e2) != op(e2,e4)
& op(e2,e2) != op(e3,e2)
& op(e2,e2) != op(e4,e2)
& op(e2,e3) != op(e2,e4)
& op(e2,e3) != op(e3,e3)
& op(e2,e3) != op(e4,e3)
& op(e2,e4) != op(e3,e4)
& op(e2,e4) != op(e4,e4)
& op(e3,e0) != op(e3,e1)
& op(e3,e0) != op(e3,e2)
& op(e3,e0) != op(e3,e3)
& op(e3,e0) != op(e3,e4)
& op(e3,e0) != op(e4,e0)
& op(e3,e1) != op(e3,e2)
& op(e3,e1) != op(e3,e3)
& op(e3,e1) != op(e3,e4)
& op(e3,e1) != op(e4,e1)
& op(e3,e2) != op(e3,e3)
& op(e3,e2) != op(e3,e4)
& op(e3,e2) != op(e4,e2)
& op(e3,e3) != op(e3,e4)
& op(e3,e3) != op(e4,e3)
& op(e3,e4) != op(e4,e4)
& op(e4,e0) != op(e4,e1)
& op(e4,e0) != op(e4,e2)
& op(e4,e0) != op(e4,e3)
& op(e4,e0) != op(e4,e4)
& op(e4,e1) != op(e4,e2)
& op(e4,e1) != op(e4,e3)
& op(e4,e1) != op(e4,e4)
& op(e4,e2) != op(e4,e3)
& op(e4,e2) != op(e4,e4)
& op(e4,e3) != op(e4,e4) ),
inference(canonicalize,[],[ax4]) ).
fof(normalize_19_1,plain,
op(e2,e1) != op(e3,e1),
inference(conjunct,[],[normalize_19_0]) ).
fof(normalize_19_2,plain,
op(e0,e1) != op(e2,e1),
inference(conjunct,[],[normalize_19_0]) ).
fof(normalize_19_3,plain,
( op(e4,e3) != op(e3,e4)
& op(op(e3,e4),e3) != e4
& op(op(e3,e4),e4) = e3
& ( op(op(e0,e1),e1) != e0
| op(e1,e0) = op(e0,e1)
| op(op(e0,e1),e0) = e1 )
& ( op(op(e0,e2),e2) != e0
| op(e2,e0) = op(e0,e2)
| op(op(e0,e2),e0) = e2 )
& ( op(op(e0,e3),e3) != e0
| op(e3,e0) = op(e0,e3)
| op(op(e0,e3),e0) = e3 )
& ( op(op(e0,e4),e4) != e0
| op(e4,e0) = op(e0,e4)
| op(op(e0,e4),e0) = e4 )
& ( op(op(e1,e0),e0) != e1
| op(e0,e1) = op(e1,e0)
| op(op(e1,e0),e1) = e0 )
& ( op(op(e1,e2),e2) != e1
| op(e2,e1) = op(e1,e2)
| op(op(e1,e2),e1) = e2 )
& ( op(op(e1,e3),e3) != e1
| op(e3,e1) = op(e1,e3)
| op(op(e1,e3),e1) = e3 )
& ( op(op(e1,e4),e4) != e1
| op(e4,e1) = op(e1,e4)
| op(op(e1,e4),e1) = e4 )
& ( op(op(e2,e0),e0) != e2
| op(e0,e2) = op(e2,e0)
| op(op(e2,e0),e2) = e0 )
& ( op(op(e2,e1),e1) != e2
| op(e1,e2) = op(e2,e1)
| op(op(e2,e1),e2) = e1 )
& ( op(op(e2,e3),e3) != e2
| op(e3,e2) = op(e2,e3)
| op(op(e2,e3),e2) = e3 )
& ( op(op(e2,e4),e4) != e2
| op(e4,e2) = op(e2,e4)
| op(op(e2,e4),e2) = e4 )
& ( op(op(e3,e0),e0) != e3
| op(e0,e3) = op(e3,e0)
| op(op(e3,e0),e3) = e0 )
& ( op(op(e3,e1),e1) != e3
| op(e1,e3) = op(e3,e1)
| op(op(e3,e1),e3) = e1 )
& ( op(op(e3,e2),e2) != e3
| op(e2,e3) = op(e3,e2)
| op(op(e3,e2),e3) = e2 )
& ( op(e0,e0) = e0
| op(e1,e1) = e0
| op(e2,e2) = e0
| op(e3,e3) = e0
| op(e4,e4) = e0 )
& ( op(e0,e0) = e1
| op(e1,e1) = e1
| op(e2,e2) = e1
| op(e3,e3) = e1
| op(e4,e4) = e1 )
& ( op(e0,e0) = e2
| op(e1,e1) = e2
| op(e2,e2) = e2
| op(e3,e3) = e2
| op(e4,e4) = e2 )
& ( op(e0,e0) = e3
| op(e1,e1) = e3
| op(e2,e2) = e3
| op(e3,e3) = e3
| op(e4,e4) = e3 )
& ( op(e0,e0) = e4
| op(e1,e1) = e4
| op(e2,e2) = e4
| op(e3,e3) = e4
| op(e4,e4) = e4 ) ),
inference(canonicalize,[],[negate_19_0]) ).
fof(normalize_19_4,plain,
( op(op(e2,e1),e1) != e2
| op(e1,e2) = op(e2,e1)
| op(op(e2,e1),e2) = e1 ),
inference(conjunct,[],[normalize_19_3]) ).
fof(normalize_19_5,plain,
( e0 = op(e1,op(op(e1,e1),op(e1,e1)))
& e2 = op(op(e1,e1),op(e1,e1))
& e3 = op(op(op(e1,e1),op(e1,e1)),op(op(e1,e1),op(e1,e1)))
& e4 = op(e1,e1) ),
inference(canonicalize,[],[ax6]) ).
fof(normalize_19_6,plain,
e0 = op(e1,op(op(e1,e1),op(e1,e1))),
inference(conjunct,[],[normalize_19_5]) ).
fof(normalize_19_7,plain,
e2 = op(op(e1,e1),op(e1,e1)),
inference(conjunct,[],[normalize_19_5]) ).
fof(normalize_19_8,plain,
( ( op(e0,e0) = e0
| op(e0,e0) = e1
| op(e0,e0) = e2
| op(e0,e0) = e3
| op(e0,e0) = e4 )
& ( op(e0,e1) = e0
| op(e0,e1) = e1
| op(e0,e1) = e2
| op(e0,e1) = e3
| op(e0,e1) = e4 )
& ( op(e0,e2) = e0
| op(e0,e2) = e1
| op(e0,e2) = e2
| op(e0,e2) = e3
| op(e0,e2) = e4 )
& ( op(e0,e3) = e0
| op(e0,e3) = e1
| op(e0,e3) = e2
| op(e0,e3) = e3
| op(e0,e3) = e4 )
& ( op(e0,e4) = e0
| op(e0,e4) = e1
| op(e0,e4) = e2
| op(e0,e4) = e3
| op(e0,e4) = e4 )
& ( op(e1,e0) = e0
| op(e1,e0) = e1
| op(e1,e0) = e2
| op(e1,e0) = e3
| op(e1,e0) = e4 )
& ( op(e1,e1) = e0
| op(e1,e1) = e1
| op(e1,e1) = e2
| op(e1,e1) = e3
| op(e1,e1) = e4 )
& ( op(e1,e2) = e0
| op(e1,e2) = e1
| op(e1,e2) = e2
| op(e1,e2) = e3
| op(e1,e2) = e4 )
& ( op(e1,e3) = e0
| op(e1,e3) = e1
| op(e1,e3) = e2
| op(e1,e3) = e3
| op(e1,e3) = e4 )
& ( op(e1,e4) = e0
| op(e1,e4) = e1
| op(e1,e4) = e2
| op(e1,e4) = e3
| op(e1,e4) = e4 )
& ( op(e2,e0) = e0
| op(e2,e0) = e1
| op(e2,e0) = e2
| op(e2,e0) = e3
| op(e2,e0) = e4 )
& ( op(e2,e1) = e0
| op(e2,e1) = e1
| op(e2,e1) = e2
| op(e2,e1) = e3
| op(e2,e1) = e4 )
& ( op(e2,e2) = e0
| op(e2,e2) = e1
| op(e2,e2) = e2
| op(e2,e2) = e3
| op(e2,e2) = e4 )
& ( op(e2,e3) = e0
| op(e2,e3) = e1
| op(e2,e3) = e2
| op(e2,e3) = e3
| op(e2,e3) = e4 )
& ( op(e2,e4) = e0
| op(e2,e4) = e1
| op(e2,e4) = e2
| op(e2,e4) = e3
| op(e2,e4) = e4 )
& ( op(e3,e0) = e0
| op(e3,e0) = e1
| op(e3,e0) = e2
| op(e3,e0) = e3
| op(e3,e0) = e4 )
& ( op(e3,e1) = e0
| op(e3,e1) = e1
| op(e3,e1) = e2
| op(e3,e1) = e3
| op(e3,e1) = e4 )
& ( op(e3,e2) = e0
| op(e3,e2) = e1
| op(e3,e2) = e2
| op(e3,e2) = e3
| op(e3,e2) = e4 )
& ( op(e3,e3) = e0
| op(e3,e3) = e1
| op(e3,e3) = e2
| op(e3,e3) = e3
| op(e3,e3) = e4 )
& ( op(e3,e4) = e0
| op(e3,e4) = e1
| op(e3,e4) = e2
| op(e3,e4) = e3
| op(e3,e4) = e4 )
& ( op(e4,e0) = e0
| op(e4,e0) = e1
| op(e4,e0) = e2
| op(e4,e0) = e3
| op(e4,e0) = e4 )
& ( op(e4,e1) = e0
| op(e4,e1) = e1
| op(e4,e1) = e2
| op(e4,e1) = e3
| op(e4,e1) = e4 )
& ( op(e4,e2) = e0
| op(e4,e2) = e1
| op(e4,e2) = e2
| op(e4,e2) = e3
| op(e4,e2) = e4 )
& ( op(e4,e3) = e0
| op(e4,e3) = e1
| op(e4,e3) = e2
| op(e4,e3) = e3
| op(e4,e3) = e4 )
& ( op(e4,e4) = e0
| op(e4,e4) = e1
| op(e4,e4) = e2
| op(e4,e4) = e3
| op(e4,e4) = e4 ) ),
inference(canonicalize,[],[ax1]) ).
fof(normalize_19_9,plain,
( op(e2,e1) = e0
| op(e2,e1) = e1
| op(e2,e1) = e2
| op(e2,e1) = e3
| op(e2,e1) = e4 ),
inference(conjunct,[],[normalize_19_8]) ).
fof(normalize_19_10,plain,
op(e2,e1) != op(e2,e2),
inference(conjunct,[],[normalize_19_0]) ).
fof(normalize_19_11,plain,
e3 = op(op(op(e1,e1),op(e1,e1)),op(op(e1,e1),op(e1,e1))),
inference(conjunct,[],[normalize_19_5]) ).
fof(normalize_19_12,plain,
op(e1,e1) != op(e2,e1),
inference(conjunct,[],[normalize_19_0]) ).
fof(normalize_19_13,plain,
e4 = op(e1,e1),
inference(conjunct,[],[normalize_19_5]) ).
fof(normalize_19_14,plain,
( e0 != e1
& e0 != e2
& e0 != e3
& e0 != e4
& e1 != e2
& e1 != e3
& e1 != e4
& e2 != e3
& e2 != e4
& e3 != e4 ),
inference(canonicalize,[],[ax5]) ).
fof(normalize_19_15,plain,
e1 != e3,
inference(conjunct,[],[normalize_19_14]) ).
fof(normalize_19_16,plain,
( op(e0,unit) = e0
& op(e1,unit) = e1
& op(e2,unit) = e2
& op(e3,unit) = e3
& op(e4,unit) = e4
& op(unit,e0) = e0
& op(unit,e1) = e1
& op(unit,e2) = e2
& op(unit,e3) = e3
& op(unit,e4) = e4
& ( unit = e0
| unit = e1
| unit = e2
| unit = e3
| unit = e4 ) ),
inference(canonicalize,[],[ax2]) ).
fof(normalize_19_17,plain,
op(unit,e1) = e1,
inference(conjunct,[],[normalize_19_16]) ).
fof(normalize_19_18,plain,
op(e3,e1) != op(e3,e3),
inference(conjunct,[],[normalize_19_0]) ).
fof(normalize_19_19,plain,
( op(e0,e0) = e1
| op(e1,e1) = e1
| op(e2,e2) = e1
| op(e3,e3) = e1
| op(e4,e4) = e1 ),
inference(conjunct,[],[normalize_19_3]) ).
fof(normalize_19_20,plain,
e1 != e2,
inference(conjunct,[],[normalize_19_14]) ).
fof(normalize_19_21,plain,
e1 != e4,
inference(conjunct,[],[normalize_19_14]) ).
fof(normalize_19_22,plain,
op(unit,e4) = e4,
inference(conjunct,[],[normalize_19_16]) ).
fof(normalize_19_23,plain,
op(e1,unit) = e1,
inference(conjunct,[],[normalize_19_16]) ).
fof(normalize_19_24,plain,
( unit = e0
| unit = e1
| unit = e2
| unit = e3
| unit = e4 ),
inference(conjunct,[],[normalize_19_16]) ).
fof(normalize_19_25,plain,
e0 != e1,
inference(conjunct,[],[normalize_19_14]) ).
fof(normalize_19_26,plain,
e2 != e4,
inference(conjunct,[],[normalize_19_14]) ).
fof(normalize_19_27,plain,
op(e3,e0) != op(e3,e3),
inference(conjunct,[],[normalize_19_0]) ).
fof(normalize_19_28,plain,
( op(e0,e0) = e0
| op(e1,e1) = e0
| op(e2,e2) = e0
| op(e3,e3) = e0
| op(e4,e4) = e0 ),
inference(conjunct,[],[normalize_19_3]) ).
fof(normalize_19_29,plain,
e0 != e2,
inference(conjunct,[],[normalize_19_14]) ).
fof(normalize_19_30,plain,
e0 != e3,
inference(conjunct,[],[normalize_19_14]) ).
fof(normalize_19_31,plain,
e0 != e4,
inference(conjunct,[],[normalize_19_14]) ).
fof(normalize_19_32,plain,
op(unit,e0) = e0,
inference(conjunct,[],[normalize_19_16]) ).
fof(normalize_19_33,plain,
op(op(e3,e4),e4) = e3,
inference(conjunct,[],[normalize_19_3]) ).
fof(normalize_19_34,plain,
( ( op(e0,e0) = e0
| op(e0,e1) = e0
| op(e0,e2) = e0
| op(e0,e3) = e0
| op(e0,e4) = e0 )
& ( op(e0,e0) = e0
| op(e1,e0) = e0
| op(e2,e0) = e0
| op(e3,e0) = e0
| op(e4,e0) = e0 )
& ( op(e0,e0) = e1
| op(e0,e1) = e1
| op(e0,e2) = e1
| op(e0,e3) = e1
| op(e0,e4) = e1 )
& ( op(e0,e0) = e1
| op(e1,e0) = e1
| op(e2,e0) = e1
| op(e3,e0) = e1
| op(e4,e0) = e1 )
& ( op(e0,e0) = e2
| op(e0,e1) = e2
| op(e0,e2) = e2
| op(e0,e3) = e2
| op(e0,e4) = e2 )
& ( op(e0,e0) = e2
| op(e1,e0) = e2
| op(e2,e0) = e2
| op(e3,e0) = e2
| op(e4,e0) = e2 )
& ( op(e0,e0) = e3
| op(e0,e1) = e3
| op(e0,e2) = e3
| op(e0,e3) = e3
| op(e0,e4) = e3 )
& ( op(e0,e0) = e3
| op(e1,e0) = e3
| op(e2,e0) = e3
| op(e3,e0) = e3
| op(e4,e0) = e3 )
& ( op(e0,e0) = e4
| op(e0,e1) = e4
| op(e0,e2) = e4
| op(e0,e3) = e4
| op(e0,e4) = e4 )
& ( op(e0,e0) = e4
| op(e1,e0) = e4
| op(e2,e0) = e4
| op(e3,e0) = e4
| op(e4,e0) = e4 )
& ( op(e0,e1) = e0
| op(e1,e1) = e0
| op(e2,e1) = e0
| op(e3,e1) = e0
| op(e4,e1) = e0 )
& ( op(e0,e1) = e1
| op(e1,e1) = e1
| op(e2,e1) = e1
| op(e3,e1) = e1
| op(e4,e1) = e1 )
& ( op(e0,e1) = e2
| op(e1,e1) = e2
| op(e2,e1) = e2
| op(e3,e1) = e2
| op(e4,e1) = e2 )
& ( op(e0,e1) = e3
| op(e1,e1) = e3
| op(e2,e1) = e3
| op(e3,e1) = e3
| op(e4,e1) = e3 )
& ( op(e0,e1) = e4
| op(e1,e1) = e4
| op(e2,e1) = e4
| op(e3,e1) = e4
| op(e4,e1) = e4 )
& ( op(e0,e2) = e0
| op(e1,e2) = e0
| op(e2,e2) = e0
| op(e3,e2) = e0
| op(e4,e2) = e0 )
& ( op(e0,e2) = e1
| op(e1,e2) = e1
| op(e2,e2) = e1
| op(e3,e2) = e1
| op(e4,e2) = e1 )
& ( op(e0,e2) = e2
| op(e1,e2) = e2
| op(e2,e2) = e2
| op(e3,e2) = e2
| op(e4,e2) = e2 )
& ( op(e0,e2) = e3
| op(e1,e2) = e3
| op(e2,e2) = e3
| op(e3,e2) = e3
| op(e4,e2) = e3 )
& ( op(e0,e2) = e4
| op(e1,e2) = e4
| op(e2,e2) = e4
| op(e3,e2) = e4
| op(e4,e2) = e4 )
& ( op(e0,e3) = e0
| op(e1,e3) = e0
| op(e2,e3) = e0
| op(e3,e3) = e0
| op(e4,e3) = e0 )
& ( op(e0,e3) = e1
| op(e1,e3) = e1
| op(e2,e3) = e1
| op(e3,e3) = e1
| op(e4,e3) = e1 )
& ( op(e0,e3) = e2
| op(e1,e3) = e2
| op(e2,e3) = e2
| op(e3,e3) = e2
| op(e4,e3) = e2 )
& ( op(e0,e3) = e3
| op(e1,e3) = e3
| op(e2,e3) = e3
| op(e3,e3) = e3
| op(e4,e3) = e3 )
& ( op(e0,e3) = e4
| op(e1,e3) = e4
| op(e2,e3) = e4
| op(e3,e3) = e4
| op(e4,e3) = e4 )
& ( op(e0,e4) = e0
| op(e1,e4) = e0
| op(e2,e4) = e0
| op(e3,e4) = e0
| op(e4,e4) = e0 )
& ( op(e0,e4) = e1
| op(e1,e4) = e1
| op(e2,e4) = e1
| op(e3,e4) = e1
| op(e4,e4) = e1 )
& ( op(e0,e4) = e2
| op(e1,e4) = e2
| op(e2,e4) = e2
| op(e3,e4) = e2
| op(e4,e4) = e2 )
& ( op(e0,e4) = e3
| op(e1,e4) = e3
| op(e2,e4) = e3
| op(e3,e4) = e3
| op(e4,e4) = e3 )
& ( op(e0,e4) = e4
| op(e1,e4) = e4
| op(e2,e4) = e4
| op(e3,e4) = e4
| op(e4,e4) = e4 )
& ( op(e1,e0) = e0
| op(e1,e1) = e0
| op(e1,e2) = e0
| op(e1,e3) = e0
| op(e1,e4) = e0 )
& ( op(e1,e0) = e1
| op(e1,e1) = e1
| op(e1,e2) = e1
| op(e1,e3) = e1
| op(e1,e4) = e1 )
& ( op(e1,e0) = e2
| op(e1,e1) = e2
| op(e1,e2) = e2
| op(e1,e3) = e2
| op(e1,e4) = e2 )
& ( op(e1,e0) = e3
| op(e1,e1) = e3
| op(e1,e2) = e3
| op(e1,e3) = e3
| op(e1,e4) = e3 )
& ( op(e1,e0) = e4
| op(e1,e1) = e4
| op(e1,e2) = e4
| op(e1,e3) = e4
| op(e1,e4) = e4 )
& ( op(e2,e0) = e0
| op(e2,e1) = e0
| op(e2,e2) = e0
| op(e2,e3) = e0
| op(e2,e4) = e0 )
& ( op(e2,e0) = e1
| op(e2,e1) = e1
| op(e2,e2) = e1
| op(e2,e3) = e1
| op(e2,e4) = e1 )
& ( op(e2,e0) = e2
| op(e2,e1) = e2
| op(e2,e2) = e2
| op(e2,e3) = e2
| op(e2,e4) = e2 )
& ( op(e2,e0) = e3
| op(e2,e1) = e3
| op(e2,e2) = e3
| op(e2,e3) = e3
| op(e2,e4) = e3 )
& ( op(e2,e0) = e4
| op(e2,e1) = e4
| op(e2,e2) = e4
| op(e2,e3) = e4
| op(e2,e4) = e4 )
& ( op(e3,e0) = e0
| op(e3,e1) = e0
| op(e3,e2) = e0
| op(e3,e3) = e0
| op(e3,e4) = e0 )
& ( op(e3,e0) = e1
| op(e3,e1) = e1
| op(e3,e2) = e1
| op(e3,e3) = e1
| op(e3,e4) = e1 )
& ( op(e3,e0) = e2
| op(e3,e1) = e2
| op(e3,e2) = e2
| op(e3,e3) = e2
| op(e3,e4) = e2 )
& ( op(e3,e0) = e3
| op(e3,e1) = e3
| op(e3,e2) = e3
| op(e3,e3) = e3
| op(e3,e4) = e3 )
& ( op(e3,e0) = e4
| op(e3,e1) = e4
| op(e3,e2) = e4
| op(e3,e3) = e4
| op(e3,e4) = e4 )
& ( op(e4,e0) = e0
| op(e4,e1) = e0
| op(e4,e2) = e0
| op(e4,e3) = e0
| op(e4,e4) = e0 )
& ( op(e4,e0) = e1
| op(e4,e1) = e1
| op(e4,e2) = e1
| op(e4,e3) = e1
| op(e4,e4) = e1 )
& ( op(e4,e0) = e2
| op(e4,e1) = e2
| op(e4,e2) = e2
| op(e4,e3) = e2
| op(e4,e4) = e2 )
& ( op(e4,e0) = e3
| op(e4,e1) = e3
| op(e4,e2) = e3
| op(e4,e3) = e3
| op(e4,e4) = e3 )
& ( op(e4,e0) = e4
| op(e4,e1) = e4
| op(e4,e2) = e4
| op(e4,e3) = e4
| op(e4,e4) = e4 ) ),
inference(canonicalize,[],[ax3]) ).
fof(normalize_19_35,plain,
( op(e3,e0) = e0
| op(e3,e1) = e0
| op(e3,e2) = e0
| op(e3,e3) = e0
| op(e3,e4) = e0 ),
inference(conjunct,[],[normalize_19_34]) ).
fof(normalize_19_36,plain,
op(e1,e2) != op(e3,e2),
inference(conjunct,[],[normalize_19_0]) ).
fof(normalize_19_37,plain,
op(e3,unit) = e3,
inference(conjunct,[],[normalize_19_16]) ).
fof(normalize_19_38,plain,
op(e0,unit) = e0,
inference(conjunct,[],[normalize_19_16]) ).
fof(normalize_19_39,plain,
e3 != e4,
inference(conjunct,[],[normalize_19_14]) ).
cnf(refute_19_0,plain,
op(e2,e1) != op(e3,e1),
inference(canonicalize,[],[normalize_19_1]) ).
cnf(refute_19_1,plain,
op(e0,e1) != op(e2,e1),
inference(canonicalize,[],[normalize_19_2]) ).
cnf(refute_19_2,plain,
( op(op(e2,e1),e1) != e2
| op(e1,e2) = op(e2,e1)
| op(op(e2,e1),e2) = e1 ),
inference(canonicalize,[],[normalize_19_4]) ).
cnf(refute_19_3,plain,
e0 = op(e1,op(op(e1,e1),op(e1,e1))),
inference(canonicalize,[],[normalize_19_6]) ).
cnf(refute_19_4,plain,
e2 = op(op(e1,e1),op(e1,e1)),
inference(canonicalize,[],[normalize_19_7]) ).
cnf(refute_19_5,plain,
X = X,
introduced(tautology,[refl,[$fot(X)]]) ).
cnf(refute_19_6,plain,
( X != X
| X != Y
| Y = X ),
introduced(tautology,[equality,[$cnf( $equal(X,X) ),[0],$fot(Y)]]) ).
cnf(refute_19_7,plain,
( X != Y
| Y = X ),
inference(resolve,[$cnf( $equal(X,X) )],[refute_19_5,refute_19_6]) ).
cnf(refute_19_8,plain,
( e2 != op(op(e1,e1),op(e1,e1))
| op(op(e1,e1),op(e1,e1)) = e2 ),
inference(subst,[],[refute_19_7:[bind(X,$fot(e2)),bind(Y,$fot(op(op(e1,e1),op(e1,e1))))]]) ).
cnf(refute_19_9,plain,
op(op(e1,e1),op(e1,e1)) = e2,
inference(resolve,[$cnf( $equal(e2,op(op(e1,e1),op(e1,e1))) )],[refute_19_4,refute_19_8]) ).
cnf(refute_19_10,plain,
op(e1,op(op(e1,e1),op(e1,e1))) = op(e1,op(op(e1,e1),op(e1,e1))),
introduced(tautology,[refl,[$fot(op(e1,op(op(e1,e1),op(e1,e1))))]]) ).
cnf(refute_19_11,plain,
( op(e1,op(op(e1,e1),op(e1,e1))) != op(e1,op(op(e1,e1),op(e1,e1)))
| op(op(e1,e1),op(e1,e1)) != e2
| op(e1,op(op(e1,e1),op(e1,e1))) = op(e1,e2) ),
introduced(tautology,[equality,[$cnf( $equal(op(e1,op(op(e1,e1),op(e1,e1))),op(e1,op(op(e1,e1),op(e1,e1)))) ),[1,1],$fot(e2)]]) ).
cnf(refute_19_12,plain,
( op(op(e1,e1),op(e1,e1)) != e2
| op(e1,op(op(e1,e1),op(e1,e1))) = op(e1,e2) ),
inference(resolve,[$cnf( $equal(op(e1,op(op(e1,e1),op(e1,e1))),op(e1,op(op(e1,e1),op(e1,e1)))) )],[refute_19_10,refute_19_11]) ).
cnf(refute_19_13,plain,
op(e1,op(op(e1,e1),op(e1,e1))) = op(e1,e2),
inference(resolve,[$cnf( $equal(op(op(e1,e1),op(e1,e1)),e2) )],[refute_19_9,refute_19_12]) ).
cnf(refute_19_14,plain,
( e0 != op(e1,op(op(e1,e1),op(e1,e1)))
| op(e1,op(op(e1,e1),op(e1,e1))) != op(e1,e2)
| e0 = op(e1,e2) ),
introduced(tautology,[equality,[$cnf( ~ $equal(e0,op(e1,e2)) ),[0],$fot(op(e1,op(op(e1,e1),op(e1,e1))))]]) ).
cnf(refute_19_15,plain,
( e0 != op(e1,op(op(e1,e1),op(e1,e1)))
| e0 = op(e1,e2) ),
inference(resolve,[$cnf( $equal(op(e1,op(op(e1,e1),op(e1,e1))),op(e1,e2)) )],[refute_19_13,refute_19_14]) ).
cnf(refute_19_16,plain,
e0 = op(e1,e2),
inference(resolve,[$cnf( $equal(e0,op(e1,op(op(e1,e1),op(e1,e1)))) )],[refute_19_3,refute_19_15]) ).
cnf(refute_19_17,plain,
( e0 != op(e1,e2)
| op(e1,e2) = e0 ),
inference(subst,[],[refute_19_7:[bind(X,$fot(e0)),bind(Y,$fot(op(e1,e2)))]]) ).
cnf(refute_19_18,plain,
op(e1,e2) = e0,
inference(resolve,[$cnf( $equal(e0,op(e1,e2)) )],[refute_19_16,refute_19_17]) ).
cnf(refute_19_19,plain,
( op(e1,e2) != e0
| op(e1,e2) != op(e2,e1)
| e0 = op(e2,e1) ),
introduced(tautology,[equality,[$cnf( $equal(op(e1,e2),op(e2,e1)) ),[0],$fot(e0)]]) ).
cnf(refute_19_20,plain,
( op(e1,e2) != op(e2,e1)
| e0 = op(e2,e1) ),
inference(resolve,[$cnf( $equal(op(e1,e2),e0) )],[refute_19_18,refute_19_19]) ).
cnf(refute_19_21,plain,
( op(op(e2,e1),e1) != e2
| e0 = op(e2,e1)
| op(op(e2,e1),e2) = e1 ),
inference(resolve,[$cnf( $equal(op(e1,e2),op(e2,e1)) )],[refute_19_2,refute_19_20]) ).
cnf(refute_19_22,plain,
( op(e2,e1) = e0
| op(e2,e1) = e1
| op(e2,e1) = e2
| op(e2,e1) = e3
| op(e2,e1) = e4 ),
inference(canonicalize,[],[normalize_19_9]) ).
cnf(refute_19_23,plain,
op(e2,e1) != op(e2,e2),
inference(canonicalize,[],[normalize_19_10]) ).
cnf(refute_19_24,plain,
e3 = op(op(op(e1,e1),op(e1,e1)),op(op(e1,e1),op(e1,e1))),
inference(canonicalize,[],[normalize_19_11]) ).
cnf(refute_19_25,plain,
op(e2,op(op(e1,e1),op(e1,e1))) = op(e2,op(op(e1,e1),op(e1,e1))),
introduced(tautology,[refl,[$fot(op(e2,op(op(e1,e1),op(e1,e1))))]]) ).
cnf(refute_19_26,plain,
( op(e2,op(op(e1,e1),op(e1,e1))) != op(e2,op(op(e1,e1),op(e1,e1)))
| op(op(e1,e1),op(e1,e1)) != e2
| op(e2,op(op(e1,e1),op(e1,e1))) = op(e2,e2) ),
introduced(tautology,[equality,[$cnf( $equal(op(e2,op(op(e1,e1),op(e1,e1))),op(e2,op(op(e1,e1),op(e1,e1)))) ),[1,1],$fot(e2)]]) ).
cnf(refute_19_27,plain,
( op(op(e1,e1),op(e1,e1)) != e2
| op(e2,op(op(e1,e1),op(e1,e1))) = op(e2,e2) ),
inference(resolve,[$cnf( $equal(op(e2,op(op(e1,e1),op(e1,e1))),op(e2,op(op(e1,e1),op(e1,e1)))) )],[refute_19_25,refute_19_26]) ).
cnf(refute_19_28,plain,
op(e2,op(op(e1,e1),op(e1,e1))) = op(e2,e2),
inference(resolve,[$cnf( $equal(op(op(e1,e1),op(e1,e1)),e2) )],[refute_19_9,refute_19_27]) ).
cnf(refute_19_29,plain,
op(op(op(e1,e1),op(e1,e1)),op(op(e1,e1),op(e1,e1))) = op(op(op(e1,e1),op(e1,e1)),op(op(e1,e1),op(e1,e1))),
introduced(tautology,[refl,[$fot(op(op(op(e1,e1),op(e1,e1)),op(op(e1,e1),op(e1,e1))))]]) ).
cnf(refute_19_30,plain,
( op(op(e1,e1),op(e1,e1)) != e2
| op(op(op(e1,e1),op(e1,e1)),op(op(e1,e1),op(e1,e1))) != op(op(op(e1,e1),op(e1,e1)),op(op(e1,e1),op(e1,e1)))
| op(op(op(e1,e1),op(e1,e1)),op(op(e1,e1),op(e1,e1))) = op(e2,op(op(e1,e1),op(e1,e1))) ),
introduced(tautology,[equality,[$cnf( $equal(op(op(op(e1,e1),op(e1,e1)),op(op(e1,e1),op(e1,e1))),op(op(op(e1,e1),op(e1,e1)),op(op(e1,e1),op(e1,e1)))) ),[1,0],$fot(e2)]]) ).
cnf(refute_19_31,plain,
( op(op(e1,e1),op(e1,e1)) != e2
| op(op(op(e1,e1),op(e1,e1)),op(op(e1,e1),op(e1,e1))) = op(e2,op(op(e1,e1),op(e1,e1))) ),
inference(resolve,[$cnf( $equal(op(op(op(e1,e1),op(e1,e1)),op(op(e1,e1),op(e1,e1))),op(op(op(e1,e1),op(e1,e1)),op(op(e1,e1),op(e1,e1)))) )],[refute_19_29,refute_19_30]) ).
cnf(refute_19_32,plain,
op(op(op(e1,e1),op(e1,e1)),op(op(e1,e1),op(e1,e1))) = op(e2,op(op(e1,e1),op(e1,e1))),
inference(resolve,[$cnf( $equal(op(op(e1,e1),op(e1,e1)),e2) )],[refute_19_9,refute_19_31]) ).
cnf(refute_19_33,plain,
( Y != X
| Y != Z
| X = Z ),
introduced(tautology,[equality,[$cnf( $equal(Y,Z) ),[0],$fot(X)]]) ).
cnf(refute_19_34,plain,
( X != Y
| Y != Z
| X = Z ),
inference(resolve,[$cnf( $equal(Y,X) )],[refute_19_7,refute_19_33]) ).
cnf(refute_19_35,plain,
( op(e2,op(op(e1,e1),op(e1,e1))) != op(e2,e2)
| op(op(op(e1,e1),op(e1,e1)),op(op(e1,e1),op(e1,e1))) != op(e2,op(op(e1,e1),op(e1,e1)))
| op(op(op(e1,e1),op(e1,e1)),op(op(e1,e1),op(e1,e1))) = op(e2,e2) ),
inference(subst,[],[refute_19_34:[bind(X,$fot(op(op(op(e1,e1),op(e1,e1)),op(op(e1,e1),op(e1,e1))))),bind(Y,$fot(op(e2,op(op(e1,e1),op(e1,e1))))),bind(Z,$fot(op(e2,e2)))]]) ).
cnf(refute_19_36,plain,
( op(e2,op(op(e1,e1),op(e1,e1))) != op(e2,e2)
| op(op(op(e1,e1),op(e1,e1)),op(op(e1,e1),op(e1,e1))) = op(e2,e2) ),
inference(resolve,[$cnf( $equal(op(op(op(e1,e1),op(e1,e1)),op(op(e1,e1),op(e1,e1))),op(e2,op(op(e1,e1),op(e1,e1)))) )],[refute_19_32,refute_19_35]) ).
cnf(refute_19_37,plain,
op(op(op(e1,e1),op(e1,e1)),op(op(e1,e1),op(e1,e1))) = op(e2,e2),
inference(resolve,[$cnf( $equal(op(e2,op(op(e1,e1),op(e1,e1))),op(e2,e2)) )],[refute_19_28,refute_19_36]) ).
cnf(refute_19_38,plain,
( e3 != op(op(op(e1,e1),op(e1,e1)),op(op(e1,e1),op(e1,e1)))
| op(op(op(e1,e1),op(e1,e1)),op(op(e1,e1),op(e1,e1))) != op(e2,e2)
| e3 = op(e2,e2) ),
introduced(tautology,[equality,[$cnf( ~ $equal(e3,op(e2,e2)) ),[0],$fot(op(op(op(e1,e1),op(e1,e1)),op(op(e1,e1),op(e1,e1))))]]) ).
cnf(refute_19_39,plain,
( e3 != op(op(op(e1,e1),op(e1,e1)),op(op(e1,e1),op(e1,e1)))
| e3 = op(e2,e2) ),
inference(resolve,[$cnf( $equal(op(op(op(e1,e1),op(e1,e1)),op(op(e1,e1),op(e1,e1))),op(e2,e2)) )],[refute_19_37,refute_19_38]) ).
cnf(refute_19_40,plain,
e3 = op(e2,e2),
inference(resolve,[$cnf( $equal(e3,op(op(op(e1,e1),op(e1,e1)),op(op(e1,e1),op(e1,e1)))) )],[refute_19_24,refute_19_39]) ).
cnf(refute_19_41,plain,
( e3 != op(e2,e2)
| op(e2,e2) = e3 ),
inference(subst,[],[refute_19_7:[bind(X,$fot(e3)),bind(Y,$fot(op(e2,e2)))]]) ).
cnf(refute_19_42,plain,
op(e2,e2) = e3,
inference(resolve,[$cnf( $equal(e3,op(e2,e2)) )],[refute_19_40,refute_19_41]) ).
cnf(refute_19_43,plain,
( op(e2,e1) != e3
| op(e2,e2) != e3
| op(e2,e1) = op(e2,e2) ),
introduced(tautology,[equality,[$cnf( ~ $equal(op(e2,e1),op(e2,e2)) ),[1],$fot(e3)]]) ).
cnf(refute_19_44,plain,
( op(e2,e1) != e3
| op(e2,e1) = op(e2,e2) ),
inference(resolve,[$cnf( $equal(op(e2,e2),e3) )],[refute_19_42,refute_19_43]) ).
cnf(refute_19_45,plain,
op(e2,e1) != e3,
inference(resolve,[$cnf( $equal(op(e2,e1),op(e2,e2)) )],[refute_19_44,refute_19_23]) ).
cnf(refute_19_46,plain,
( op(e2,e1) = e0
| op(e2,e1) = e1
| op(e2,e1) = e2
| op(e2,e1) = e4 ),
inference(resolve,[$cnf( $equal(op(e2,e1),e3) )],[refute_19_22,refute_19_45]) ).
cnf(refute_19_47,plain,
op(e1,e1) != op(e2,e1),
inference(canonicalize,[],[normalize_19_12]) ).
cnf(refute_19_48,plain,
e4 = op(e1,e1),
inference(canonicalize,[],[normalize_19_13]) ).
cnf(refute_19_49,plain,
( e4 != op(e1,e1)
| op(e1,e1) = e4 ),
inference(subst,[],[refute_19_7:[bind(X,$fot(e4)),bind(Y,$fot(op(e1,e1)))]]) ).
cnf(refute_19_50,plain,
op(e1,e1) = e4,
inference(resolve,[$cnf( $equal(e4,op(e1,e1)) )],[refute_19_48,refute_19_49]) ).
cnf(refute_19_51,plain,
( e4 != op(e2,e1)
| op(e1,e1) != e4
| op(e1,e1) = op(e2,e1) ),
introduced(tautology,[equality,[$cnf( $equal(op(e1,e1),e4) ),[1],$fot(op(e2,e1))]]) ).
cnf(refute_19_52,plain,
( e4 != op(e2,e1)
| op(e1,e1) = op(e2,e1) ),
inference(resolve,[$cnf( $equal(op(e1,e1),e4) )],[refute_19_50,refute_19_51]) ).
cnf(refute_19_53,plain,
e4 != op(e2,e1),
inference(resolve,[$cnf( $equal(op(e1,e1),op(e2,e1)) )],[refute_19_52,refute_19_47]) ).
cnf(refute_19_54,plain,
( op(e2,e1) != e4
| e4 = op(e2,e1) ),
inference(subst,[],[refute_19_7:[bind(X,$fot(op(e2,e1))),bind(Y,$fot(e4))]]) ).
cnf(refute_19_55,plain,
op(e2,e1) != e4,
inference(resolve,[$cnf( $equal(e4,op(e2,e1)) )],[refute_19_54,refute_19_53]) ).
cnf(refute_19_56,plain,
( op(e2,e1) = e0
| op(e2,e1) = e1
| op(e2,e1) = e2 ),
inference(resolve,[$cnf( $equal(op(e2,e1),e4) )],[refute_19_46,refute_19_55]) ).
cnf(refute_19_57,plain,
( op(e2,e1) != e2
| op(op(e2,e1),e1) = e2 ),
introduced(tautology,[equality,[$cnf( ~ $equal(op(op(e2,e1),e1),e2) ),[0,0],$fot(e2)]]) ).
cnf(refute_19_58,plain,
( op(e2,e1) = e0
| op(e2,e1) = e1
| op(op(e2,e1),e1) = e2 ),
inference(resolve,[$cnf( $equal(op(e2,e1),e2) )],[refute_19_56,refute_19_57]) ).
cnf(refute_19_59,plain,
( e0 = op(e2,e1)
| op(e2,e1) = e0
| op(e2,e1) = e1
| op(op(e2,e1),e2) = e1 ),
inference(resolve,[$cnf( $equal(op(op(e2,e1),e1),e2) )],[refute_19_58,refute_19_21]) ).
cnf(refute_19_60,plain,
( op(e2,e1) != e0
| e0 = op(e2,e1) ),
inference(subst,[],[refute_19_7:[bind(X,$fot(op(e2,e1))),bind(Y,$fot(e0))]]) ).
cnf(refute_19_61,plain,
( e0 = op(e2,e1)
| op(e2,e1) = e1
| op(op(e2,e1),e2) = e1 ),
inference(resolve,[$cnf( $equal(op(e2,e1),e0) )],[refute_19_59,refute_19_60]) ).
cnf(refute_19_62,plain,
( op(e2,e1) != e2
| op(op(e2,e1),e2) != e1
| op(e2,e2) = e1 ),
introduced(tautology,[equality,[$cnf( $equal(op(op(e2,e1),e2),e1) ),[0,0],$fot(e2)]]) ).
cnf(refute_19_63,plain,
( op(op(e2,e1),e2) != e1
| op(e2,e1) = e0
| op(e2,e1) = e1
| op(e2,e2) = e1 ),
inference(resolve,[$cnf( $equal(op(e2,e1),e2) )],[refute_19_56,refute_19_62]) ).
cnf(refute_19_64,plain,
( e0 = op(e2,e1)
| op(e2,e1) = e0
| op(e2,e1) = e1
| op(e2,e2) = e1 ),
inference(resolve,[$cnf( $equal(op(op(e2,e1),e2),e1) )],[refute_19_61,refute_19_63]) ).
cnf(refute_19_65,plain,
( e0 = op(e2,e1)
| op(e2,e1) = e1
| op(e2,e2) = e1 ),
inference(resolve,[$cnf( $equal(op(e2,e1),e0) )],[refute_19_64,refute_19_60]) ).
cnf(refute_19_66,plain,
( op(e2,e2) != e1
| op(e2,e2) != e3
| e3 = e1 ),
introduced(tautology,[equality,[$cnf( $equal(op(e2,e2),e1) ),[0],$fot(e3)]]) ).
cnf(refute_19_67,plain,
( op(e2,e2) != e1
| e3 = e1 ),
inference(resolve,[$cnf( $equal(op(e2,e2),e3) )],[refute_19_42,refute_19_66]) ).
cnf(refute_19_68,plain,
( e0 = op(e2,e1)
| e3 = e1
| op(e2,e1) = e1 ),
inference(resolve,[$cnf( $equal(op(e2,e2),e1) )],[refute_19_65,refute_19_67]) ).
cnf(refute_19_69,plain,
e1 != e3,
inference(canonicalize,[],[normalize_19_15]) ).
cnf(refute_19_70,plain,
( e3 != e1
| e1 = e3 ),
inference(subst,[],[refute_19_7:[bind(X,$fot(e3)),bind(Y,$fot(e1))]]) ).
cnf(refute_19_71,plain,
e3 != e1,
inference(resolve,[$cnf( $equal(e1,e3) )],[refute_19_70,refute_19_69]) ).
cnf(refute_19_72,plain,
( e0 = op(e2,e1)
| op(e2,e1) = e1 ),
inference(resolve,[$cnf( $equal(e3,e1) )],[refute_19_68,refute_19_71]) ).
cnf(refute_19_73,plain,
( op(e0,e1) != e1
| op(e2,e1) != e1
| op(e0,e1) = op(e2,e1) ),
introduced(tautology,[equality,[$cnf( ~ $equal(op(e0,e1),op(e2,e1)) ),[1],$fot(e1)]]) ).
cnf(refute_19_74,plain,
( op(e0,e1) != e1
| e0 = op(e2,e1)
| op(e0,e1) = op(e2,e1) ),
inference(resolve,[$cnf( $equal(op(e2,e1),e1) )],[refute_19_72,refute_19_73]) ).
cnf(refute_19_75,plain,
( op(e0,e1) != e1
| e0 = op(e2,e1) ),
inference(resolve,[$cnf( $equal(op(e0,e1),op(e2,e1)) )],[refute_19_74,refute_19_1]) ).
cnf(refute_19_76,plain,
op(unit,e1) = e1,
inference(canonicalize,[],[normalize_19_17]) ).
cnf(refute_19_77,plain,
op(e3,e1) != op(e3,e3),
inference(canonicalize,[],[normalize_19_18]) ).
cnf(refute_19_78,plain,
( op(e0,e0) = e1
| op(e1,e1) = e1
| op(e2,e2) = e1
| op(e3,e3) = e1
| op(e4,e4) = e1 ),
inference(canonicalize,[],[normalize_19_19]) ).
cnf(refute_19_79,plain,
( op(e1,e1) != e1
| op(e1,e1) != e4
| e4 = e1 ),
introduced(tautology,[equality,[$cnf( $equal(op(e1,e1),e1) ),[0],$fot(e4)]]) ).
cnf(refute_19_80,plain,
( op(e1,e1) != e1
| e4 = e1 ),
inference(resolve,[$cnf( $equal(op(e1,e1),e4) )],[refute_19_50,refute_19_79]) ).
cnf(refute_19_81,plain,
( e4 = e1
| op(e0,e0) = e1
| op(e2,e2) = e1
| op(e3,e3) = e1
| op(e4,e4) = e1 ),
inference(resolve,[$cnf( $equal(op(e1,e1),e1) )],[refute_19_78,refute_19_80]) ).
cnf(refute_19_82,plain,
( e3 = e1
| e4 = e1
| op(e0,e0) = e1
| op(e3,e3) = e1
| op(e4,e4) = e1 ),
inference(resolve,[$cnf( $equal(op(e2,e2),e1) )],[refute_19_81,refute_19_67]) ).
cnf(refute_19_83,plain,
op(e4,op(e1,e1)) = op(e4,op(e1,e1)),
introduced(tautology,[refl,[$fot(op(e4,op(e1,e1)))]]) ).
cnf(refute_19_84,plain,
( op(e1,e1) != e4
| op(e4,op(e1,e1)) != op(e4,op(e1,e1))
| op(e4,op(e1,e1)) = op(e4,e4) ),
introduced(tautology,[equality,[$cnf( $equal(op(e4,op(e1,e1)),op(e4,op(e1,e1))) ),[1,1],$fot(e4)]]) ).
cnf(refute_19_85,plain,
( op(e1,e1) != e4
| op(e4,op(e1,e1)) = op(e4,e4) ),
inference(resolve,[$cnf( $equal(op(e4,op(e1,e1)),op(e4,op(e1,e1))) )],[refute_19_83,refute_19_84]) ).
cnf(refute_19_86,plain,
op(e4,op(e1,e1)) = op(e4,e4),
inference(resolve,[$cnf( $equal(op(e1,e1),e4) )],[refute_19_50,refute_19_85]) ).
cnf(refute_19_87,plain,
op(op(e1,e1),op(e1,e1)) = op(op(e1,e1),op(e1,e1)),
introduced(tautology,[refl,[$fot(op(op(e1,e1),op(e1,e1)))]]) ).
cnf(refute_19_88,plain,
( op(e1,e1) != e4
| op(op(e1,e1),op(e1,e1)) != op(op(e1,e1),op(e1,e1))
| op(op(e1,e1),op(e1,e1)) = op(e4,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(e4)]]) ).
cnf(refute_19_89,plain,
( op(e1,e1) != e4
| op(op(e1,e1),op(e1,e1)) = op(e4,op(e1,e1)) ),
inference(resolve,[$cnf( $equal(op(op(e1,e1),op(e1,e1)),op(op(e1,e1),op(e1,e1))) )],[refute_19_87,refute_19_88]) ).
cnf(refute_19_90,plain,
op(op(e1,e1),op(e1,e1)) = op(e4,op(e1,e1)),
inference(resolve,[$cnf( $equal(op(e1,e1),e4) )],[refute_19_50,refute_19_89]) ).
cnf(refute_19_91,plain,
( op(e4,op(e1,e1)) != op(e4,e4)
| op(op(e1,e1),op(e1,e1)) != op(e4,op(e1,e1))
| op(op(e1,e1),op(e1,e1)) = op(e4,e4) ),
inference(subst,[],[refute_19_34:[bind(X,$fot(op(op(e1,e1),op(e1,e1)))),bind(Y,$fot(op(e4,op(e1,e1)))),bind(Z,$fot(op(e4,e4)))]]) ).
cnf(refute_19_92,plain,
( op(e4,op(e1,e1)) != op(e4,e4)
| op(op(e1,e1),op(e1,e1)) = op(e4,e4) ),
inference(resolve,[$cnf( $equal(op(op(e1,e1),op(e1,e1)),op(e4,op(e1,e1))) )],[refute_19_90,refute_19_91]) ).
cnf(refute_19_93,plain,
op(op(e1,e1),op(e1,e1)) = op(e4,e4),
inference(resolve,[$cnf( $equal(op(e4,op(e1,e1)),op(e4,e4)) )],[refute_19_86,refute_19_92]) ).
cnf(refute_19_94,plain,
( e2 != op(op(e1,e1),op(e1,e1))
| op(op(e1,e1),op(e1,e1)) != op(e4,e4)
| e2 = op(e4,e4) ),
introduced(tautology,[equality,[$cnf( ~ $equal(e2,op(e4,e4)) ),[0],$fot(op(op(e1,e1),op(e1,e1)))]]) ).
cnf(refute_19_95,plain,
( e2 != op(op(e1,e1),op(e1,e1))
| e2 = op(e4,e4) ),
inference(resolve,[$cnf( $equal(op(op(e1,e1),op(e1,e1)),op(e4,e4)) )],[refute_19_93,refute_19_94]) ).
cnf(refute_19_96,plain,
e2 = op(e4,e4),
inference(resolve,[$cnf( $equal(e2,op(op(e1,e1),op(e1,e1))) )],[refute_19_4,refute_19_95]) ).
cnf(refute_19_97,plain,
( e2 != op(e4,e4)
| op(e4,e4) = e2 ),
inference(subst,[],[refute_19_7:[bind(X,$fot(e2)),bind(Y,$fot(op(e4,e4)))]]) ).
cnf(refute_19_98,plain,
op(e4,e4) = e2,
inference(resolve,[$cnf( $equal(e2,op(e4,e4)) )],[refute_19_96,refute_19_97]) ).
cnf(refute_19_99,plain,
( op(e4,e4) != e1
| op(e4,e4) != e2
| e2 = e1 ),
introduced(tautology,[equality,[$cnf( $equal(op(e4,e4),e1) ),[0],$fot(e2)]]) ).
cnf(refute_19_100,plain,
( op(e4,e4) != e1
| e2 = e1 ),
inference(resolve,[$cnf( $equal(op(e4,e4),e2) )],[refute_19_98,refute_19_99]) ).
cnf(refute_19_101,plain,
( e2 = e1
| e3 = e1
| e4 = e1
| op(e0,e0) = e1
| op(e3,e3) = e1 ),
inference(resolve,[$cnf( $equal(op(e4,e4),e1) )],[refute_19_82,refute_19_100]) ).
cnf(refute_19_102,plain,
e1 != e2,
inference(canonicalize,[],[normalize_19_20]) ).
cnf(refute_19_103,plain,
( e2 != e1
| e1 = e2 ),
inference(subst,[],[refute_19_7:[bind(X,$fot(e2)),bind(Y,$fot(e1))]]) ).
cnf(refute_19_104,plain,
e2 != e1,
inference(resolve,[$cnf( $equal(e1,e2) )],[refute_19_103,refute_19_102]) ).
cnf(refute_19_105,plain,
( e3 = e1
| e4 = e1
| op(e0,e0) = e1
| op(e3,e3) = e1 ),
inference(resolve,[$cnf( $equal(e2,e1) )],[refute_19_101,refute_19_104]) ).
cnf(refute_19_106,plain,
( e4 = e1
| op(e0,e0) = e1
| op(e3,e3) = e1 ),
inference(resolve,[$cnf( $equal(e3,e1) )],[refute_19_105,refute_19_71]) ).
cnf(refute_19_107,plain,
e1 != e4,
inference(canonicalize,[],[normalize_19_21]) ).
cnf(refute_19_108,plain,
( e4 != e1
| e1 = e4 ),
inference(subst,[],[refute_19_7:[bind(X,$fot(e4)),bind(Y,$fot(e1))]]) ).
cnf(refute_19_109,plain,
e4 != e1,
inference(resolve,[$cnf( $equal(e1,e4) )],[refute_19_108,refute_19_107]) ).
cnf(refute_19_110,plain,
( op(e0,e0) = e1
| op(e3,e3) = e1 ),
inference(resolve,[$cnf( $equal(e4,e1) )],[refute_19_106,refute_19_109]) ).
cnf(refute_19_111,plain,
( op(e3,e1) != e1
| op(e3,e3) != e1
| op(e3,e1) = op(e3,e3) ),
introduced(tautology,[equality,[$cnf( ~ $equal(op(e3,e1),op(e3,e3)) ),[1],$fot(e1)]]) ).
cnf(refute_19_112,plain,
( op(e3,e1) != e1
| op(e0,e0) = e1
| op(e3,e1) = op(e3,e3) ),
inference(resolve,[$cnf( $equal(op(e3,e3),e1) )],[refute_19_110,refute_19_111]) ).
cnf(refute_19_113,plain,
( op(e3,e1) != e1
| op(e0,e0) = e1 ),
inference(resolve,[$cnf( $equal(op(e3,e1),op(e3,e3)) )],[refute_19_112,refute_19_77]) ).
cnf(refute_19_114,plain,
op(unit,e4) = e4,
inference(canonicalize,[],[normalize_19_22]) ).
cnf(refute_19_115,plain,
op(e1,unit) = e1,
inference(canonicalize,[],[normalize_19_23]) ).
cnf(refute_19_116,plain,
( unit = e0
| unit = e1
| unit = e2
| unit = e3
| unit = e4 ),
inference(canonicalize,[],[normalize_19_24]) ).
cnf(refute_19_117,plain,
( op(unit,e1) != e1
| unit != e1
| op(e1,e1) = e1 ),
introduced(tautology,[equality,[$cnf( $equal(op(unit,e1),e1) ),[0,0],$fot(e1)]]) ).
cnf(refute_19_118,plain,
( op(unit,e1) != e1
| op(e1,e1) = e1
| unit = e0
| unit = e2
| unit = e3
| unit = e4 ),
inference(resolve,[$cnf( $equal(unit,e1) )],[refute_19_116,refute_19_117]) ).
cnf(refute_19_119,plain,
( op(e1,e1) = e1
| unit = e0
| unit = e2
| unit = e3
| unit = e4 ),
inference(resolve,[$cnf( $equal(op(unit,e1),e1) )],[refute_19_76,refute_19_118]) ).
cnf(refute_19_120,plain,
( e4 = e1
| unit = e0
| unit = e2
| unit = e3
| unit = e4 ),
inference(resolve,[$cnf( $equal(op(e1,e1),e1) )],[refute_19_119,refute_19_80]) ).
cnf(refute_19_121,plain,
( unit = e0
| unit = e2
| unit = e3
| unit = e4 ),
inference(resolve,[$cnf( $equal(e4,e1) )],[refute_19_120,refute_19_109]) ).
cnf(refute_19_122,plain,
( op(e1,unit) != e1
| unit != e2
| op(e1,e2) = e1 ),
introduced(tautology,[equality,[$cnf( $equal(op(e1,unit),e1) ),[0,1],$fot(e2)]]) ).
cnf(refute_19_123,plain,
( op(e1,unit) != e1
| op(e1,e2) = e1
| unit = e0
| unit = e3
| unit = e4 ),
inference(resolve,[$cnf( $equal(unit,e2) )],[refute_19_121,refute_19_122]) ).
cnf(refute_19_124,plain,
( op(e1,e2) = e1
| unit = e0
| unit = e3
| unit = e4 ),
inference(resolve,[$cnf( $equal(op(e1,unit),e1) )],[refute_19_115,refute_19_123]) ).
cnf(refute_19_125,plain,
( op(e1,e2) != e0
| op(e1,e2) != e1
| e0 = e1 ),
introduced(tautology,[equality,[$cnf( $equal(op(e1,e2),e1) ),[0],$fot(e0)]]) ).
cnf(refute_19_126,plain,
( op(e1,e2) != e1
| e0 = e1 ),
inference(resolve,[$cnf( $equal(op(e1,e2),e0) )],[refute_19_18,refute_19_125]) ).
cnf(refute_19_127,plain,
( e0 = e1
| unit = e0
| unit = e3
| unit = e4 ),
inference(resolve,[$cnf( $equal(op(e1,e2),e1) )],[refute_19_124,refute_19_126]) ).
cnf(refute_19_128,plain,
e0 != e1,
inference(canonicalize,[],[normalize_19_25]) ).
cnf(refute_19_129,plain,
( unit = e0
| unit = e3
| unit = e4 ),
inference(resolve,[$cnf( $equal(e0,e1) )],[refute_19_127,refute_19_128]) ).
cnf(refute_19_130,plain,
( op(unit,e4) != e4
| unit != e4
| op(e4,e4) = e4 ),
introduced(tautology,[equality,[$cnf( $equal(op(unit,e4),e4) ),[0,0],$fot(e4)]]) ).
cnf(refute_19_131,plain,
( op(unit,e4) != e4
| op(e4,e4) = e4
| unit = e0
| unit = e3 ),
inference(resolve,[$cnf( $equal(unit,e4) )],[refute_19_129,refute_19_130]) ).
cnf(refute_19_132,plain,
( op(e4,e4) = e4
| unit = e0
| unit = e3 ),
inference(resolve,[$cnf( $equal(op(unit,e4),e4) )],[refute_19_114,refute_19_131]) ).
cnf(refute_19_133,plain,
( op(e4,e4) != e2
| op(e4,e4) != e4
| e2 = e4 ),
introduced(tautology,[equality,[$cnf( $equal(op(e4,e4),e4) ),[0],$fot(e2)]]) ).
cnf(refute_19_134,plain,
( op(e4,e4) != e4
| e2 = e4 ),
inference(resolve,[$cnf( $equal(op(e4,e4),e2) )],[refute_19_98,refute_19_133]) ).
cnf(refute_19_135,plain,
( e2 = e4
| unit = e0
| unit = e3 ),
inference(resolve,[$cnf( $equal(op(e4,e4),e4) )],[refute_19_132,refute_19_134]) ).
cnf(refute_19_136,plain,
e2 != e4,
inference(canonicalize,[],[normalize_19_26]) ).
cnf(refute_19_137,plain,
( unit = e0
| unit = e3 ),
inference(resolve,[$cnf( $equal(e2,e4) )],[refute_19_135,refute_19_136]) ).
cnf(refute_19_138,plain,
( op(unit,e1) != e1
| unit != e3
| op(e3,e1) = e1 ),
introduced(tautology,[equality,[$cnf( $equal(op(unit,e1),e1) ),[0,0],$fot(e3)]]) ).
cnf(refute_19_139,plain,
( op(unit,e1) != e1
| op(e3,e1) = e1
| unit = e0 ),
inference(resolve,[$cnf( $equal(unit,e3) )],[refute_19_137,refute_19_138]) ).
cnf(refute_19_140,plain,
( op(e3,e1) = e1
| unit = e0 ),
inference(resolve,[$cnf( $equal(op(unit,e1),e1) )],[refute_19_76,refute_19_139]) ).
cnf(refute_19_141,plain,
( e1 != e1
| op(e3,e1) != e1
| op(e3,e1) = e1 ),
introduced(tautology,[equality,[$cnf( $equal(op(e3,e1),e1) ),[0,1],$fot(e1)]]) ).
cnf(refute_19_142,plain,
( e1 != e1
| op(e3,e1) = e1
| unit = e0 ),
inference(resolve,[$cnf( $equal(op(e3,e1),e1) )],[refute_19_140,refute_19_141]) ).
cnf(refute_19_143,plain,
( e1 != e1
| op(e0,e0) = e1
| unit = e0 ),
inference(resolve,[$cnf( $equal(op(e3,e1),e1) )],[refute_19_142,refute_19_113]) ).
cnf(refute_19_144,plain,
e1 = e1,
introduced(tautology,[refl,[$fot(e1)]]) ).
cnf(refute_19_145,plain,
( op(e0,e0) = e1
| unit = e0 ),
inference(resolve,[$cnf( $equal(e1,e1) )],[refute_19_144,refute_19_143]) ).
cnf(refute_19_146,plain,
op(e3,e0) != op(e3,e3),
inference(canonicalize,[],[normalize_19_27]) ).
cnf(refute_19_147,plain,
( op(e0,e0) = e0
| op(e1,e1) = e0
| op(e2,e2) = e0
| op(e3,e3) = e0
| op(e4,e4) = e0 ),
inference(canonicalize,[],[normalize_19_28]) ).
cnf(refute_19_148,plain,
( op(e1,e1) != e0
| op(e1,e1) != e4
| e4 = e0 ),
introduced(tautology,[equality,[$cnf( $equal(op(e1,e1),e0) ),[0],$fot(e4)]]) ).
cnf(refute_19_149,plain,
( op(e1,e1) != e0
| e4 = e0 ),
inference(resolve,[$cnf( $equal(op(e1,e1),e4) )],[refute_19_50,refute_19_148]) ).
cnf(refute_19_150,plain,
( e4 = e0
| op(e0,e0) = e0
| op(e2,e2) = e0
| op(e3,e3) = e0
| op(e4,e4) = e0 ),
inference(resolve,[$cnf( $equal(op(e1,e1),e0) )],[refute_19_147,refute_19_149]) ).
cnf(refute_19_151,plain,
( op(e2,e2) != e0
| op(e2,e2) != e3
| e3 = e0 ),
introduced(tautology,[equality,[$cnf( $equal(op(e2,e2),e0) ),[0],$fot(e3)]]) ).
cnf(refute_19_152,plain,
( op(e2,e2) != e0
| e3 = e0 ),
inference(resolve,[$cnf( $equal(op(e2,e2),e3) )],[refute_19_42,refute_19_151]) ).
cnf(refute_19_153,plain,
( e3 = e0
| e4 = e0
| op(e0,e0) = e0
| op(e3,e3) = e0
| op(e4,e4) = e0 ),
inference(resolve,[$cnf( $equal(op(e2,e2),e0) )],[refute_19_150,refute_19_152]) ).
cnf(refute_19_154,plain,
( op(e4,e4) != e0
| op(e4,e4) != e2
| e2 = e0 ),
introduced(tautology,[equality,[$cnf( $equal(op(e4,e4),e0) ),[0],$fot(e2)]]) ).
cnf(refute_19_155,plain,
( op(e4,e4) != e0
| e2 = e0 ),
inference(resolve,[$cnf( $equal(op(e4,e4),e2) )],[refute_19_98,refute_19_154]) ).
cnf(refute_19_156,plain,
( e2 = e0
| e3 = e0
| e4 = e0
| op(e0,e0) = e0
| op(e3,e3) = e0 ),
inference(resolve,[$cnf( $equal(op(e4,e4),e0) )],[refute_19_153,refute_19_155]) ).
cnf(refute_19_157,plain,
e0 != e2,
inference(canonicalize,[],[normalize_19_29]) ).
cnf(refute_19_158,plain,
( e2 != e0
| e0 = e2 ),
inference(subst,[],[refute_19_7:[bind(X,$fot(e2)),bind(Y,$fot(e0))]]) ).
cnf(refute_19_159,plain,
e2 != e0,
inference(resolve,[$cnf( $equal(e0,e2) )],[refute_19_158,refute_19_157]) ).
cnf(refute_19_160,plain,
( e3 = e0
| e4 = e0
| op(e0,e0) = e0
| op(e3,e3) = e0 ),
inference(resolve,[$cnf( $equal(e2,e0) )],[refute_19_156,refute_19_159]) ).
cnf(refute_19_161,plain,
e0 != e3,
inference(canonicalize,[],[normalize_19_30]) ).
cnf(refute_19_162,plain,
( e3 != e0
| e0 = e3 ),
inference(subst,[],[refute_19_7:[bind(X,$fot(e3)),bind(Y,$fot(e0))]]) ).
cnf(refute_19_163,plain,
e3 != e0,
inference(resolve,[$cnf( $equal(e0,e3) )],[refute_19_162,refute_19_161]) ).
cnf(refute_19_164,plain,
( e4 = e0
| op(e0,e0) = e0
| op(e3,e3) = e0 ),
inference(resolve,[$cnf( $equal(e3,e0) )],[refute_19_160,refute_19_163]) ).
cnf(refute_19_165,plain,
e0 != e4,
inference(canonicalize,[],[normalize_19_31]) ).
cnf(refute_19_166,plain,
( e4 != e0
| e0 = e4 ),
inference(subst,[],[refute_19_7:[bind(X,$fot(e4)),bind(Y,$fot(e0))]]) ).
cnf(refute_19_167,plain,
e4 != e0,
inference(resolve,[$cnf( $equal(e0,e4) )],[refute_19_166,refute_19_165]) ).
cnf(refute_19_168,plain,
( op(e0,e0) = e0
| op(e3,e3) = e0 ),
inference(resolve,[$cnf( $equal(e4,e0) )],[refute_19_164,refute_19_167]) ).
cnf(refute_19_169,plain,
( op(e3,e0) != e0
| op(e3,e3) != e0
| op(e3,e0) = op(e3,e3) ),
introduced(tautology,[equality,[$cnf( ~ $equal(op(e3,e0),op(e3,e3)) ),[1],$fot(e0)]]) ).
cnf(refute_19_170,plain,
( op(e3,e0) != e0
| op(e0,e0) = e0
| op(e3,e0) = op(e3,e3) ),
inference(resolve,[$cnf( $equal(op(e3,e3),e0) )],[refute_19_168,refute_19_169]) ).
cnf(refute_19_171,plain,
( op(e3,e0) != e0
| op(e0,e0) = e0 ),
inference(resolve,[$cnf( $equal(op(e3,e0),op(e3,e3)) )],[refute_19_170,refute_19_146]) ).
cnf(refute_19_172,plain,
op(unit,e0) = e0,
inference(canonicalize,[],[normalize_19_32]) ).
cnf(refute_19_173,plain,
( op(unit,e0) != e0
| unit != e3
| op(e3,e0) = e0 ),
introduced(tautology,[equality,[$cnf( $equal(op(unit,e0),e0) ),[0,0],$fot(e3)]]) ).
cnf(refute_19_174,plain,
( op(unit,e0) != e0
| op(e3,e0) = e0
| unit = e0 ),
inference(resolve,[$cnf( $equal(unit,e3) )],[refute_19_137,refute_19_173]) ).
cnf(refute_19_175,plain,
( op(e3,e0) = e0
| unit = e0 ),
inference(resolve,[$cnf( $equal(op(unit,e0),e0) )],[refute_19_172,refute_19_174]) ).
cnf(refute_19_176,plain,
( e0 != e0
| op(e3,e0) != e0
| op(e3,e0) = e0 ),
introduced(tautology,[equality,[$cnf( $equal(op(e3,e0),e0) ),[0,1],$fot(e0)]]) ).
cnf(refute_19_177,plain,
( e0 != e0
| op(e3,e0) = e0
| unit = e0 ),
inference(resolve,[$cnf( $equal(op(e3,e0),e0) )],[refute_19_175,refute_19_176]) ).
cnf(refute_19_178,plain,
( e0 != e0
| op(e0,e0) = e0
| unit = e0 ),
inference(resolve,[$cnf( $equal(op(e3,e0),e0) )],[refute_19_177,refute_19_171]) ).
cnf(refute_19_179,plain,
e0 = e0,
introduced(tautology,[refl,[$fot(e0)]]) ).
cnf(refute_19_180,plain,
( op(e0,e0) = e0
| unit = e0 ),
inference(resolve,[$cnf( $equal(e0,e0) )],[refute_19_179,refute_19_178]) ).
cnf(refute_19_181,plain,
( op(e0,e0) != e0
| op(e0,e0) != e1
| e0 = e1 ),
introduced(tautology,[equality,[$cnf( $equal(op(e0,e0),e1) ),[0],$fot(e0)]]) ).
cnf(refute_19_182,plain,
( op(e0,e0) != e1
| e0 = e1
| unit = e0 ),
inference(resolve,[$cnf( $equal(op(e0,e0),e0) )],[refute_19_180,refute_19_181]) ).
cnf(refute_19_183,plain,
( e0 = e1
| unit = e0 ),
inference(resolve,[$cnf( $equal(op(e0,e0),e1) )],[refute_19_145,refute_19_182]) ).
cnf(refute_19_184,plain,
unit = e0,
inference(resolve,[$cnf( $equal(e0,e1) )],[refute_19_183,refute_19_128]) ).
cnf(refute_19_185,plain,
op(unit,e1) = op(unit,e1),
introduced(tautology,[refl,[$fot(op(unit,e1))]]) ).
cnf(refute_19_186,plain,
( op(unit,e1) != op(unit,e1)
| unit != e0
| op(unit,e1) = op(e0,e1) ),
introduced(tautology,[equality,[$cnf( $equal(op(unit,e1),op(unit,e1)) ),[1,0],$fot(e0)]]) ).
cnf(refute_19_187,plain,
( unit != e0
| op(unit,e1) = op(e0,e1) ),
inference(resolve,[$cnf( $equal(op(unit,e1),op(unit,e1)) )],[refute_19_185,refute_19_186]) ).
cnf(refute_19_188,plain,
op(unit,e1) = op(e0,e1),
inference(resolve,[$cnf( $equal(unit,e0) )],[refute_19_184,refute_19_187]) ).
cnf(refute_19_189,plain,
( op(unit,e1) != e1
| op(unit,e1) != op(e0,e1)
| op(e0,e1) = e1 ),
introduced(tautology,[equality,[$cnf( $equal(op(unit,e1),e1) ),[0],$fot(op(e0,e1))]]) ).
cnf(refute_19_190,plain,
( op(unit,e1) != e1
| op(e0,e1) = e1 ),
inference(resolve,[$cnf( $equal(op(unit,e1),op(e0,e1)) )],[refute_19_188,refute_19_189]) ).
cnf(refute_19_191,plain,
op(e0,e1) = e1,
inference(resolve,[$cnf( $equal(op(unit,e1),e1) )],[refute_19_76,refute_19_190]) ).
cnf(refute_19_192,plain,
( e1 != e1
| op(e0,e1) != e1
| op(e0,e1) = e1 ),
introduced(tautology,[equality,[$cnf( $equal(op(e0,e1),e1) ),[0,1],$fot(e1)]]) ).
cnf(refute_19_193,plain,
( e1 != e1
| op(e0,e1) = e1 ),
inference(resolve,[$cnf( $equal(op(e0,e1),e1) )],[refute_19_191,refute_19_192]) ).
cnf(refute_19_194,plain,
( e1 != e1
| e0 = op(e2,e1) ),
inference(resolve,[$cnf( $equal(op(e0,e1),e1) )],[refute_19_193,refute_19_75]) ).
cnf(refute_19_195,plain,
e0 = op(e2,e1),
inference(resolve,[$cnf( $equal(e1,e1) )],[refute_19_144,refute_19_194]) ).
cnf(refute_19_196,plain,
( e0 != op(e2,e1)
| op(e2,e1) = e0 ),
inference(subst,[],[refute_19_7:[bind(X,$fot(e0)),bind(Y,$fot(op(e2,e1)))]]) ).
cnf(refute_19_197,plain,
op(e2,e1) = e0,
inference(resolve,[$cnf( $equal(e0,op(e2,e1)) )],[refute_19_195,refute_19_196]) ).
cnf(refute_19_198,plain,
( e0 != op(e3,e1)
| op(e2,e1) != e0
| op(e2,e1) = op(e3,e1) ),
introduced(tautology,[equality,[$cnf( $equal(op(e2,e1),e0) ),[1],$fot(op(e3,e1))]]) ).
cnf(refute_19_199,plain,
( e0 != op(e3,e1)
| op(e2,e1) = op(e3,e1) ),
inference(resolve,[$cnf( $equal(op(e2,e1),e0) )],[refute_19_197,refute_19_198]) ).
cnf(refute_19_200,plain,
op(op(e3,e4),e4) = e3,
inference(canonicalize,[],[normalize_19_33]) ).
cnf(refute_19_201,plain,
( op(e3,e0) = e0
| op(e3,e1) = e0
| op(e3,e2) = e0
| op(e3,e3) = e0
| op(e3,e4) = e0 ),
inference(canonicalize,[],[normalize_19_35]) ).
cnf(refute_19_202,plain,
op(e1,e2) != op(e3,e2),
inference(canonicalize,[],[normalize_19_36]) ).
cnf(refute_19_203,plain,
( e0 != op(e3,e2)
| op(e1,e2) != e0
| op(e1,e2) = op(e3,e2) ),
introduced(tautology,[equality,[$cnf( $equal(op(e1,e2),e0) ),[1],$fot(op(e3,e2))]]) ).
cnf(refute_19_204,plain,
( e0 != op(e3,e2)
| op(e1,e2) = op(e3,e2) ),
inference(resolve,[$cnf( $equal(op(e1,e2),e0) )],[refute_19_18,refute_19_203]) ).
cnf(refute_19_205,plain,
e0 != op(e3,e2),
inference(resolve,[$cnf( $equal(op(e1,e2),op(e3,e2)) )],[refute_19_204,refute_19_202]) ).
cnf(refute_19_206,plain,
( op(e3,e2) != e0
| e0 = op(e3,e2) ),
inference(subst,[],[refute_19_7:[bind(X,$fot(op(e3,e2))),bind(Y,$fot(e0))]]) ).
cnf(refute_19_207,plain,
op(e3,e2) != e0,
inference(resolve,[$cnf( $equal(e0,op(e3,e2)) )],[refute_19_206,refute_19_205]) ).
cnf(refute_19_208,plain,
( op(e3,e0) = e0
| op(e3,e1) = e0
| op(e3,e3) = e0
| op(e3,e4) = e0 ),
inference(resolve,[$cnf( $equal(op(e3,e2),e0) )],[refute_19_201,refute_19_207]) ).
cnf(refute_19_209,plain,
( op(e3,e4) != e0
| op(op(e3,e4),e4) != e3
| op(e0,e4) = e3 ),
introduced(tautology,[equality,[$cnf( $equal(op(op(e3,e4),e4),e3) ),[0,0],$fot(e0)]]) ).
cnf(refute_19_210,plain,
( op(op(e3,e4),e4) != e3
| op(e0,e4) = e3
| op(e3,e0) = e0
| op(e3,e1) = e0
| op(e3,e3) = e0 ),
inference(resolve,[$cnf( $equal(op(e3,e4),e0) )],[refute_19_208,refute_19_209]) ).
cnf(refute_19_211,plain,
( op(e0,e4) = e3
| op(e3,e0) = e0
| op(e3,e1) = e0
| op(e3,e3) = e0 ),
inference(resolve,[$cnf( $equal(op(op(e3,e4),e4),e3) )],[refute_19_200,refute_19_210]) ).
cnf(refute_19_212,plain,
op(unit,e4) = op(unit,e4),
introduced(tautology,[refl,[$fot(op(unit,e4))]]) ).
cnf(refute_19_213,plain,
( op(unit,e4) != op(unit,e4)
| unit != e0
| op(unit,e4) = op(e0,e4) ),
introduced(tautology,[equality,[$cnf( $equal(op(unit,e4),op(unit,e4)) ),[1,0],$fot(e0)]]) ).
cnf(refute_19_214,plain,
( unit != e0
| op(unit,e4) = op(e0,e4) ),
inference(resolve,[$cnf( $equal(op(unit,e4),op(unit,e4)) )],[refute_19_212,refute_19_213]) ).
cnf(refute_19_215,plain,
op(unit,e4) = op(e0,e4),
inference(resolve,[$cnf( $equal(unit,e0) )],[refute_19_184,refute_19_214]) ).
cnf(refute_19_216,plain,
( op(unit,e4) != e4
| op(unit,e4) != op(e0,e4)
| op(e0,e4) = e4 ),
introduced(tautology,[equality,[$cnf( $equal(op(unit,e4),e4) ),[0],$fot(op(e0,e4))]]) ).
cnf(refute_19_217,plain,
( op(unit,e4) != e4
| op(e0,e4) = e4 ),
inference(resolve,[$cnf( $equal(op(unit,e4),op(e0,e4)) )],[refute_19_215,refute_19_216]) ).
cnf(refute_19_218,plain,
op(e0,e4) = e4,
inference(resolve,[$cnf( $equal(op(unit,e4),e4) )],[refute_19_114,refute_19_217]) ).
cnf(refute_19_219,plain,
( op(e0,e4) != e3
| op(e0,e4) != e4
| e4 = e3 ),
introduced(tautology,[equality,[$cnf( $equal(op(e0,e4),e3) ),[0],$fot(e4)]]) ).
cnf(refute_19_220,plain,
( op(e0,e4) != e3
| e4 = e3 ),
inference(resolve,[$cnf( $equal(op(e0,e4),e4) )],[refute_19_218,refute_19_219]) ).
cnf(refute_19_221,plain,
( e4 = e3
| op(e3,e0) = e0
| op(e3,e1) = e0
| op(e3,e3) = e0 ),
inference(resolve,[$cnf( $equal(op(e0,e4),e3) )],[refute_19_211,refute_19_220]) ).
cnf(refute_19_222,plain,
op(e3,unit) = e3,
inference(canonicalize,[],[normalize_19_37]) ).
cnf(refute_19_223,plain,
op(e3,unit) = op(e3,unit),
introduced(tautology,[refl,[$fot(op(e3,unit))]]) ).
cnf(refute_19_224,plain,
( op(e3,unit) != op(e3,unit)
| unit != e0
| op(e3,unit) = op(e3,e0) ),
introduced(tautology,[equality,[$cnf( $equal(op(e3,unit),op(e3,unit)) ),[1,1],$fot(e0)]]) ).
cnf(refute_19_225,plain,
( unit != e0
| op(e3,unit) = op(e3,e0) ),
inference(resolve,[$cnf( $equal(op(e3,unit),op(e3,unit)) )],[refute_19_223,refute_19_224]) ).
cnf(refute_19_226,plain,
op(e3,unit) = op(e3,e0),
inference(resolve,[$cnf( $equal(unit,e0) )],[refute_19_184,refute_19_225]) ).
cnf(refute_19_227,plain,
( op(e3,unit) != e3
| op(e3,unit) != op(e3,e0)
| op(e3,e0) = e3 ),
introduced(tautology,[equality,[$cnf( $equal(op(e3,unit),e3) ),[0],$fot(op(e3,e0))]]) ).
cnf(refute_19_228,plain,
( op(e3,unit) != e3
| op(e3,e0) = e3 ),
inference(resolve,[$cnf( $equal(op(e3,unit),op(e3,e0)) )],[refute_19_226,refute_19_227]) ).
cnf(refute_19_229,plain,
op(e3,e0) = e3,
inference(resolve,[$cnf( $equal(op(e3,unit),e3) )],[refute_19_222,refute_19_228]) ).
cnf(refute_19_230,plain,
( op(e3,e0) != e0
| op(e3,e0) != e3
| e3 = e0 ),
introduced(tautology,[equality,[$cnf( $equal(op(e3,e0),e0) ),[0],$fot(e3)]]) ).
cnf(refute_19_231,plain,
( op(e3,e0) != e0
| e3 = e0 ),
inference(resolve,[$cnf( $equal(op(e3,e0),e3) )],[refute_19_229,refute_19_230]) ).
cnf(refute_19_232,plain,
( e3 = e0
| e4 = e3
| op(e3,e1) = e0
| op(e3,e3) = e0 ),
inference(resolve,[$cnf( $equal(op(e3,e0),e0) )],[refute_19_221,refute_19_231]) ).
cnf(refute_19_233,plain,
op(e0,unit) = e0,
inference(canonicalize,[],[normalize_19_38]) ).
cnf(refute_19_234,plain,
op(e0,unit) = op(e0,unit),
introduced(tautology,[refl,[$fot(op(e0,unit))]]) ).
cnf(refute_19_235,plain,
( op(e0,unit) != op(e0,unit)
| unit != e0
| op(e0,unit) = op(e0,e0) ),
introduced(tautology,[equality,[$cnf( $equal(op(e0,unit),op(e0,unit)) ),[1,1],$fot(e0)]]) ).
cnf(refute_19_236,plain,
( unit != e0
| op(e0,unit) = op(e0,e0) ),
inference(resolve,[$cnf( $equal(op(e0,unit),op(e0,unit)) )],[refute_19_234,refute_19_235]) ).
cnf(refute_19_237,plain,
op(e0,unit) = op(e0,e0),
inference(resolve,[$cnf( $equal(unit,e0) )],[refute_19_184,refute_19_236]) ).
cnf(refute_19_238,plain,
( op(e0,unit) != e0
| op(e0,unit) != op(e0,e0)
| op(e0,e0) = e0 ),
introduced(tautology,[equality,[$cnf( $equal(op(e0,unit),e0) ),[0],$fot(op(e0,e0))]]) ).
cnf(refute_19_239,plain,
( op(e0,unit) != e0
| op(e0,e0) = e0 ),
inference(resolve,[$cnf( $equal(op(e0,unit),op(e0,e0)) )],[refute_19_237,refute_19_238]) ).
cnf(refute_19_240,plain,
op(e0,e0) = e0,
inference(resolve,[$cnf( $equal(op(e0,unit),e0) )],[refute_19_233,refute_19_239]) ).
cnf(refute_19_241,plain,
( op(e0,e0) != e1
| e0 = e1 ),
inference(resolve,[$cnf( $equal(op(e0,e0),e0) )],[refute_19_240,refute_19_181]) ).
cnf(refute_19_242,plain,
( e0 = e1
| op(e3,e3) = e1 ),
inference(resolve,[$cnf( $equal(op(e0,e0),e1) )],[refute_19_110,refute_19_241]) ).
cnf(refute_19_243,plain,
op(e3,e3) = e1,
inference(resolve,[$cnf( $equal(e0,e1) )],[refute_19_242,refute_19_128]) ).
cnf(refute_19_244,plain,
( op(e3,e3) != e0
| op(e3,e3) != e1
| e1 = e0 ),
introduced(tautology,[equality,[$cnf( $equal(op(e3,e3),e0) ),[0],$fot(e1)]]) ).
cnf(refute_19_245,plain,
( op(e3,e3) != e0
| e1 = e0 ),
inference(resolve,[$cnf( $equal(op(e3,e3),e1) )],[refute_19_243,refute_19_244]) ).
cnf(refute_19_246,plain,
( e1 = e0
| e3 = e0
| e4 = e3
| op(e3,e1) = e0 ),
inference(resolve,[$cnf( $equal(op(e3,e3),e0) )],[refute_19_232,refute_19_245]) ).
cnf(refute_19_247,plain,
( e1 != e0
| e0 = e1 ),
inference(subst,[],[refute_19_7:[bind(X,$fot(e1)),bind(Y,$fot(e0))]]) ).
cnf(refute_19_248,plain,
e1 != e0,
inference(resolve,[$cnf( $equal(e0,e1) )],[refute_19_247,refute_19_128]) ).
cnf(refute_19_249,plain,
( e3 = e0
| e4 = e3
| op(e3,e1) = e0 ),
inference(resolve,[$cnf( $equal(e1,e0) )],[refute_19_246,refute_19_248]) ).
cnf(refute_19_250,plain,
( e4 = e3
| op(e3,e1) = e0 ),
inference(resolve,[$cnf( $equal(e3,e0) )],[refute_19_249,refute_19_163]) ).
cnf(refute_19_251,plain,
e3 != e4,
inference(canonicalize,[],[normalize_19_39]) ).
cnf(refute_19_252,plain,
( e4 != e3
| e3 = e4 ),
inference(subst,[],[refute_19_7:[bind(X,$fot(e4)),bind(Y,$fot(e3))]]) ).
cnf(refute_19_253,plain,
e4 != e3,
inference(resolve,[$cnf( $equal(e3,e4) )],[refute_19_252,refute_19_251]) ).
cnf(refute_19_254,plain,
op(e3,e1) = e0,
inference(resolve,[$cnf( $equal(e4,e3) )],[refute_19_250,refute_19_253]) ).
cnf(refute_19_255,plain,
( e0 != e0
| op(e3,e1) != e0
| e0 = op(e3,e1) ),
introduced(tautology,[equality,[$cnf( ~ $equal(e0,op(e3,e1)) ),[1],$fot(e0)]]) ).
cnf(refute_19_256,plain,
( e0 != e0
| e0 = op(e3,e1) ),
inference(resolve,[$cnf( $equal(op(e3,e1),e0) )],[refute_19_254,refute_19_255]) ).
cnf(refute_19_257,plain,
( e0 != e0
| op(e2,e1) = op(e3,e1) ),
inference(resolve,[$cnf( $equal(e0,op(e3,e1)) )],[refute_19_256,refute_19_199]) ).
cnf(refute_19_258,plain,
e0 != e0,
inference(resolve,[$cnf( $equal(op(e2,e1),op(e3,e1)) )],[refute_19_257,refute_19_0]) ).
cnf(refute_19_259,plain,
$false,
inference(resolve,[$cnf( $equal(e0,e0) )],[refute_19_179,refute_19_258]) ).
fof(negate_20_0,plain,
~ ( ( ( op(e0,e0) = e0
| op(e1,e1) = e0
| op(e2,e2) = e0
| op(e3,e3) = e0
| op(e4,e4) = e0 )
& ( op(e0,e0) = e1
| op(e1,e1) = e1
| op(e2,e2) = e1
| op(e3,e3) = e1
| op(e4,e4) = e1 )
& ( op(e0,e0) = e2
| op(e1,e1) = e2
| op(e2,e2) = e2
| op(e3,e3) = e2
| op(e4,e4) = e2 )
& ( op(e0,e0) = e3
| op(e1,e1) = e3
| op(e2,e2) = e3
| op(e3,e3) = e3
| op(e4,e4) = e3 )
& ( op(e0,e0) = e4
| op(e1,e1) = e4
| op(e2,e2) = e4
| op(e3,e3) = e4
| op(e4,e4) = e4 )
& ~ ( op(e0,e0) != op(e0,e0)
& op(op(e0,e0),e0) = e0
& op(op(e0,e0),e0) != e0 )
& ~ ( op(e1,e0) != op(e0,e1)
& op(op(e0,e1),e1) = e0
& op(op(e0,e1),e0) != e1 )
& ~ ( op(e2,e0) != op(e0,e2)
& op(op(e0,e2),e2) = e0
& op(op(e0,e2),e0) != e2 )
& ~ ( op(e3,e0) != op(e0,e3)
& op(op(e0,e3),e3) = e0
& op(op(e0,e3),e0) != e3 )
& ~ ( op(e4,e0) != op(e0,e4)
& op(op(e0,e4),e4) = e0
& op(op(e0,e4),e0) != e4 )
& ~ ( op(e0,e1) != op(e1,e0)
& op(op(e1,e0),e0) = e1
& op(op(e1,e0),e1) != e0 )
& ~ ( op(e1,e1) != op(e1,e1)
& op(op(e1,e1),e1) = e1
& op(op(e1,e1),e1) != e1 )
& ~ ( op(e2,e1) != op(e1,e2)
& op(op(e1,e2),e2) = e1
& op(op(e1,e2),e1) != e2 )
& ~ ( op(e3,e1) != op(e1,e3)
& op(op(e1,e3),e3) = e1
& op(op(e1,e3),e1) != e3 )
& ~ ( op(e4,e1) != op(e1,e4)
& op(op(e1,e4),e4) = e1
& op(op(e1,e4),e1) != e4 )
& ~ ( op(e0,e2) != op(e2,e0)
& op(op(e2,e0),e0) = e2
& op(op(e2,e0),e2) != e0 )
& ~ ( op(e1,e2) != op(e2,e1)
& op(op(e2,e1),e1) = e2
& op(op(e2,e1),e2) != e1 )
& ~ ( op(e2,e2) != op(e2,e2)
& op(op(e2,e2),e2) = e2
& op(op(e2,e2),e2) != e2 )
& ~ ( op(e3,e2) != op(e2,e3)
& op(op(e2,e3),e3) = e2
& op(op(e2,e3),e2) != e3 )
& ~ ( op(e4,e2) != op(e2,e4)
& op(op(e2,e4),e4) = e2
& op(op(e2,e4),e2) != e4 )
& ~ ( op(e0,e3) != op(e3,e0)
& op(op(e3,e0),e0) = e3
& op(op(e3,e0),e3) != e0 )
& ~ ( op(e1,e3) != op(e3,e1)
& op(op(e3,e1),e1) = e3
& op(op(e3,e1),e3) != e1 )
& ~ ( op(e2,e3) != op(e3,e2)
& op(op(e3,e2),e2) = e3
& op(op(e3,e2),e3) != e2 )
& ~ ( op(e3,e3) != op(e3,e3)
& op(op(e3,e3),e3) = e3
& op(op(e3,e3),e3) != e3 )
& ~ ( op(e4,e3) != op(e3,e4)
& op(op(e3,e4),e4) = e3
& op(op(e3,e4),e3) != e4 )
& op(e0,e4) != op(e4,e0)
& op(op(e4,e0),e0) = e4 )
=> op(op(e4,e0),e4) = e0 ),
inference(negate,[],[subgoal_20]) ).
fof(normalize_20_0,plain,
( op(e0,e4) != op(e4,e0)
& op(op(e4,e0),e4) != e0
& op(op(e4,e0),e0) = e4
& ( op(op(e0,e1),e1) != e0
| op(e1,e0) = op(e0,e1)
| op(op(e0,e1),e0) = e1 )
& ( op(op(e0,e2),e2) != e0
| op(e2,e0) = op(e0,e2)
| op(op(e0,e2),e0) = e2 )
& ( op(op(e0,e3),e3) != e0
| op(e3,e0) = op(e0,e3)
| op(op(e0,e3),e0) = e3 )
& ( op(op(e0,e4),e4) != e0
| op(e4,e0) = op(e0,e4)
| op(op(e0,e4),e0) = e4 )
& ( op(op(e1,e0),e0) != e1
| op(e0,e1) = op(e1,e0)
| op(op(e1,e0),e1) = e0 )
& ( op(op(e1,e2),e2) != e1
| op(e2,e1) = op(e1,e2)
| op(op(e1,e2),e1) = e2 )
& ( op(op(e1,e3),e3) != e1
| op(e3,e1) = op(e1,e3)
| op(op(e1,e3),e1) = e3 )
& ( op(op(e1,e4),e4) != e1
| op(e4,e1) = op(e1,e4)
| op(op(e1,e4),e1) = e4 )
& ( op(op(e2,e0),e0) != e2
| op(e0,e2) = op(e2,e0)
| op(op(e2,e0),e2) = e0 )
& ( op(op(e2,e1),e1) != e2
| op(e1,e2) = op(e2,e1)
| op(op(e2,e1),e2) = e1 )
& ( op(op(e2,e3),e3) != e2
| op(e3,e2) = op(e2,e3)
| op(op(e2,e3),e2) = e3 )
& ( op(op(e2,e4),e4) != e2
| op(e4,e2) = op(e2,e4)
| op(op(e2,e4),e2) = e4 )
& ( op(op(e3,e0),e0) != e3
| op(e0,e3) = op(e3,e0)
| op(op(e3,e0),e3) = e0 )
& ( op(op(e3,e1),e1) != e3
| op(e1,e3) = op(e3,e1)
| op(op(e3,e1),e3) = e1 )
& ( op(op(e3,e2),e2) != e3
| op(e2,e3) = op(e3,e2)
| op(op(e3,e2),e3) = e2 )
& ( op(op(e3,e4),e4) != e3
| op(e4,e3) = op(e3,e4)
| op(op(e3,e4),e3) = e4 )
& ( op(e0,e0) = e0
| op(e1,e1) = e0
| op(e2,e2) = e0
| op(e3,e3) = e0
| op(e4,e4) = e0 )
& ( op(e0,e0) = e1
| op(e1,e1) = e1
| op(e2,e2) = e1
| op(e3,e3) = e1
| op(e4,e4) = e1 )
& ( op(e0,e0) = e2
| op(e1,e1) = e2
| op(e2,e2) = e2
| op(e3,e3) = e2
| op(e4,e4) = e2 )
& ( op(e0,e0) = e3
| op(e1,e1) = e3
| op(e2,e2) = e3
| op(e3,e3) = e3
| op(e4,e4) = e3 )
& ( op(e0,e0) = e4
| op(e1,e1) = e4
| op(e2,e2) = e4
| op(e3,e3) = e4
| op(e4,e4) = e4 ) ),
inference(canonicalize,[],[negate_20_0]) ).
fof(normalize_20_1,plain,
op(e0,e4) != op(e4,e0),
inference(conjunct,[],[normalize_20_0]) ).
fof(normalize_20_2,plain,
( op(e0,unit) = e0
& op(e1,unit) = e1
& op(e2,unit) = e2
& op(e3,unit) = e3
& op(e4,unit) = e4
& op(unit,e0) = e0
& op(unit,e1) = e1
& op(unit,e2) = e2
& op(unit,e3) = e3
& op(unit,e4) = e4
& ( unit = e0
| unit = e1
| unit = e2
| unit = e3
| unit = e4 ) ),
inference(canonicalize,[],[ax2]) ).
fof(normalize_20_3,plain,
op(unit,e4) = e4,
inference(conjunct,[],[normalize_20_2]) ).
fof(normalize_20_4,plain,
( op(e0,e0) != op(e0,e1)
& op(e0,e0) != op(e0,e2)
& op(e0,e0) != op(e0,e3)
& op(e0,e0) != op(e0,e4)
& op(e0,e0) != op(e1,e0)
& op(e0,e0) != op(e2,e0)
& op(e0,e0) != op(e3,e0)
& op(e0,e0) != op(e4,e0)
& op(e0,e1) != op(e0,e2)
& op(e0,e1) != op(e0,e3)
& op(e0,e1) != op(e0,e4)
& op(e0,e1) != op(e1,e1)
& op(e0,e1) != op(e2,e1)
& op(e0,e1) != op(e3,e1)
& op(e0,e1) != op(e4,e1)
& op(e0,e2) != op(e0,e3)
& op(e0,e2) != op(e0,e4)
& op(e0,e2) != op(e1,e2)
& op(e0,e2) != op(e2,e2)
& op(e0,e2) != op(e3,e2)
& op(e0,e2) != op(e4,e2)
& op(e0,e3) != op(e0,e4)
& op(e0,e3) != op(e1,e3)
& op(e0,e3) != op(e2,e3)
& op(e0,e3) != op(e3,e3)
& op(e0,e3) != op(e4,e3)
& op(e0,e4) != op(e1,e4)
& op(e0,e4) != op(e2,e4)
& op(e0,e4) != op(e3,e4)
& op(e0,e4) != op(e4,e4)
& op(e1,e0) != op(e1,e1)
& op(e1,e0) != op(e1,e2)
& op(e1,e0) != op(e1,e3)
& op(e1,e0) != op(e1,e4)
& op(e1,e0) != op(e2,e0)
& op(e1,e0) != op(e3,e0)
& op(e1,e0) != op(e4,e0)
& op(e1,e1) != op(e1,e2)
& op(e1,e1) != op(e1,e3)
& op(e1,e1) != op(e1,e4)
& op(e1,e1) != op(e2,e1)
& op(e1,e1) != op(e3,e1)
& op(e1,e1) != op(e4,e1)
& op(e1,e2) != op(e1,e3)
& op(e1,e2) != op(e1,e4)
& op(e1,e2) != op(e2,e2)
& op(e1,e2) != op(e3,e2)
& op(e1,e2) != op(e4,e2)
& op(e1,e3) != op(e1,e4)
& op(e1,e3) != op(e2,e3)
& op(e1,e3) != op(e3,e3)
& op(e1,e3) != op(e4,e3)
& op(e1,e4) != op(e2,e4)
& op(e1,e4) != op(e3,e4)
& op(e1,e4) != op(e4,e4)
& op(e2,e0) != op(e2,e1)
& op(e2,e0) != op(e2,e2)
& op(e2,e0) != op(e2,e3)
& op(e2,e0) != op(e2,e4)
& op(e2,e0) != op(e3,e0)
& op(e2,e0) != op(e4,e0)
& op(e2,e1) != op(e2,e2)
& op(e2,e1) != op(e2,e3)
& op(e2,e1) != op(e2,e4)
& op(e2,e1) != op(e3,e1)
& op(e2,e1) != op(e4,e1)
& op(e2,e2) != op(e2,e3)
& op(e2,e2) != op(e2,e4)
& op(e2,e2) != op(e3,e2)
& op(e2,e2) != op(e4,e2)
& op(e2,e3) != op(e2,e4)
& op(e2,e3) != op(e3,e3)
& op(e2,e3) != op(e4,e3)
& op(e2,e4) != op(e3,e4)
& op(e2,e4) != op(e4,e4)
& op(e3,e0) != op(e3,e1)
& op(e3,e0) != op(e3,e2)
& op(e3,e0) != op(e3,e3)
& op(e3,e0) != op(e3,e4)
& op(e3,e0) != op(e4,e0)
& op(e3,e1) != op(e3,e2)
& op(e3,e1) != op(e3,e3)
& op(e3,e1) != op(e3,e4)
& op(e3,e1) != op(e4,e1)
& op(e3,e2) != op(e3,e3)
& op(e3,e2) != op(e3,e4)
& op(e3,e2) != op(e4,e2)
& op(e3,e3) != op(e3,e4)
& op(e3,e3) != op(e4,e3)
& op(e3,e4) != op(e4,e4)
& op(e4,e0) != op(e4,e1)
& op(e4,e0) != op(e4,e2)
& op(e4,e0) != op(e4,e3)
& op(e4,e0) != op(e4,e4)
& op(e4,e1) != op(e4,e2)
& op(e4,e1) != op(e4,e3)
& op(e4,e1) != op(e4,e4)
& op(e4,e2) != op(e4,e3)
& op(e4,e2) != op(e4,e4)
& op(e4,e3) != op(e4,e4) ),
inference(canonicalize,[],[ax4]) ).
fof(normalize_20_5,plain,
op(e1,e3) != op(e3,e3),
inference(conjunct,[],[normalize_20_4]) ).
fof(normalize_20_6,plain,
( op(e0,e0) = e1
| op(e1,e1) = e1
| op(e2,e2) = e1
| op(e3,e3) = e1
| op(e4,e4) = e1 ),
inference(conjunct,[],[normalize_20_0]) ).
fof(normalize_20_7,plain,
( e0 = op(e1,op(op(e1,e1),op(e1,e1)))
& e2 = op(op(e1,e1),op(e1,e1))
& e3 = op(op(op(e1,e1),op(e1,e1)),op(op(e1,e1),op(e1,e1)))
& e4 = op(e1,e1) ),
inference(canonicalize,[],[ax6]) ).
fof(normalize_20_8,plain,
e4 = op(e1,e1),
inference(conjunct,[],[normalize_20_7]) ).
fof(normalize_20_9,plain,
e3 = op(op(op(e1,e1),op(e1,e1)),op(op(e1,e1),op(e1,e1))),
inference(conjunct,[],[normalize_20_7]) ).
fof(normalize_20_10,plain,
e2 = op(op(e1,e1),op(e1,e1)),
inference(conjunct,[],[normalize_20_7]) ).
fof(normalize_20_11,plain,
( e0 != e1
& e0 != e2
& e0 != e3
& e0 != e4
& e1 != e2
& e1 != e3
& e1 != e4
& e2 != e3
& e2 != e4
& e3 != e4 ),
inference(canonicalize,[],[ax5]) ).
fof(normalize_20_12,plain,
e1 != e2,
inference(conjunct,[],[normalize_20_11]) ).
fof(normalize_20_13,plain,
e1 != e3,
inference(conjunct,[],[normalize_20_11]) ).
fof(normalize_20_14,plain,
e1 != e4,
inference(conjunct,[],[normalize_20_11]) ).
fof(normalize_20_15,plain,
op(e1,unit) = e1,
inference(conjunct,[],[normalize_20_2]) ).
fof(normalize_20_16,plain,
op(unit,e3) = e3,
inference(conjunct,[],[normalize_20_2]) ).
fof(normalize_20_17,plain,
( unit = e0
| unit = e1
| unit = e2
| unit = e3
| unit = e4 ),
inference(conjunct,[],[normalize_20_2]) ).
fof(normalize_20_18,plain,
op(e1,e1) != op(e1,e4),
inference(conjunct,[],[normalize_20_4]) ).
fof(normalize_20_19,plain,
op(e2,e2) != op(e2,e3),
inference(conjunct,[],[normalize_20_4]) ).
fof(normalize_20_20,plain,
e2 != e4,
inference(conjunct,[],[normalize_20_11]) ).
fof(normalize_20_21,plain,
( op(e0,e0) = e0
| op(e1,e1) = e0
| op(e2,e2) = e0
| op(e3,e3) = e0
| op(e4,e4) = e0 ),
inference(conjunct,[],[normalize_20_0]) ).
fof(normalize_20_22,plain,
e0 != e2,
inference(conjunct,[],[normalize_20_11]) ).
fof(normalize_20_23,plain,
e0 != e3,
inference(conjunct,[],[normalize_20_11]) ).
fof(normalize_20_24,plain,
e0 != e4,
inference(conjunct,[],[normalize_20_11]) ).
fof(normalize_20_25,plain,
e0 != e1,
inference(conjunct,[],[normalize_20_11]) ).
fof(normalize_20_26,plain,
op(e4,unit) = e4,
inference(conjunct,[],[normalize_20_2]) ).
cnf(refute_20_0,plain,
op(e0,e4) != op(e4,e0),
inference(canonicalize,[],[normalize_20_1]) ).
cnf(refute_20_1,plain,
op(unit,e4) = e4,
inference(canonicalize,[],[normalize_20_3]) ).
cnf(refute_20_2,plain,
op(e1,e3) != op(e3,e3),
inference(canonicalize,[],[normalize_20_5]) ).
cnf(refute_20_3,plain,
( op(e0,e0) = e1
| op(e1,e1) = e1
| op(e2,e2) = e1
| op(e3,e3) = e1
| op(e4,e4) = e1 ),
inference(canonicalize,[],[normalize_20_6]) ).
cnf(refute_20_4,plain,
e4 = op(e1,e1),
inference(canonicalize,[],[normalize_20_8]) ).
cnf(refute_20_5,plain,
X = X,
introduced(tautology,[refl,[$fot(X)]]) ).
cnf(refute_20_6,plain,
( X != X
| X != Y
| Y = X ),
introduced(tautology,[equality,[$cnf( $equal(X,X) ),[0],$fot(Y)]]) ).
cnf(refute_20_7,plain,
( X != Y
| Y = X ),
inference(resolve,[$cnf( $equal(X,X) )],[refute_20_5,refute_20_6]) ).
cnf(refute_20_8,plain,
( e4 != op(e1,e1)
| op(e1,e1) = e4 ),
inference(subst,[],[refute_20_7:[bind(X,$fot(e4)),bind(Y,$fot(op(e1,e1)))]]) ).
cnf(refute_20_9,plain,
op(e1,e1) = e4,
inference(resolve,[$cnf( $equal(e4,op(e1,e1)) )],[refute_20_4,refute_20_8]) ).
cnf(refute_20_10,plain,
( op(e1,e1) != e1
| op(e1,e1) != e4
| e4 = e1 ),
introduced(tautology,[equality,[$cnf( $equal(op(e1,e1),e1) ),[0],$fot(e4)]]) ).
cnf(refute_20_11,plain,
( op(e1,e1) != e1
| e4 = e1 ),
inference(resolve,[$cnf( $equal(op(e1,e1),e4) )],[refute_20_9,refute_20_10]) ).
cnf(refute_20_12,plain,
( e4 = e1
| op(e0,e0) = e1
| op(e2,e2) = e1
| op(e3,e3) = e1
| op(e4,e4) = e1 ),
inference(resolve,[$cnf( $equal(op(e1,e1),e1) )],[refute_20_3,refute_20_11]) ).
cnf(refute_20_13,plain,
e3 = op(op(op(e1,e1),op(e1,e1)),op(op(e1,e1),op(e1,e1))),
inference(canonicalize,[],[normalize_20_9]) ).
cnf(refute_20_14,plain,
e2 = op(op(e1,e1),op(e1,e1)),
inference(canonicalize,[],[normalize_20_10]) ).
cnf(refute_20_15,plain,
( e2 != op(op(e1,e1),op(e1,e1))
| op(op(e1,e1),op(e1,e1)) = e2 ),
inference(subst,[],[refute_20_7:[bind(X,$fot(e2)),bind(Y,$fot(op(op(e1,e1),op(e1,e1))))]]) ).
cnf(refute_20_16,plain,
op(op(e1,e1),op(e1,e1)) = e2,
inference(resolve,[$cnf( $equal(e2,op(op(e1,e1),op(e1,e1))) )],[refute_20_14,refute_20_15]) ).
cnf(refute_20_17,plain,
op(e2,op(op(e1,e1),op(e1,e1))) = op(e2,op(op(e1,e1),op(e1,e1))),
introduced(tautology,[refl,[$fot(op(e2,op(op(e1,e1),op(e1,e1))))]]) ).
cnf(refute_20_18,plain,
( op(e2,op(op(e1,e1),op(e1,e1))) != op(e2,op(op(e1,e1),op(e1,e1)))
| op(op(e1,e1),op(e1,e1)) != e2
| op(e2,op(op(e1,e1),op(e1,e1))) = op(e2,e2) ),
introduced(tautology,[equality,[$cnf( $equal(op(e2,op(op(e1,e1),op(e1,e1))),op(e2,op(op(e1,e1),op(e1,e1)))) ),[1,1],$fot(e2)]]) ).
cnf(refute_20_19,plain,
( op(op(e1,e1),op(e1,e1)) != e2
| op(e2,op(op(e1,e1),op(e1,e1))) = op(e2,e2) ),
inference(resolve,[$cnf( $equal(op(e2,op(op(e1,e1),op(e1,e1))),op(e2,op(op(e1,e1),op(e1,e1)))) )],[refute_20_17,refute_20_18]) ).
cnf(refute_20_20,plain,
op(e2,op(op(e1,e1),op(e1,e1))) = op(e2,e2),
inference(resolve,[$cnf( $equal(op(op(e1,e1),op(e1,e1)),e2) )],[refute_20_16,refute_20_19]) ).
cnf(refute_20_21,plain,
op(op(op(e1,e1),op(e1,e1)),op(op(e1,e1),op(e1,e1))) = op(op(op(e1,e1),op(e1,e1)),op(op(e1,e1),op(e1,e1))),
introduced(tautology,[refl,[$fot(op(op(op(e1,e1),op(e1,e1)),op(op(e1,e1),op(e1,e1))))]]) ).
cnf(refute_20_22,plain,
( op(op(e1,e1),op(e1,e1)) != e2
| op(op(op(e1,e1),op(e1,e1)),op(op(e1,e1),op(e1,e1))) != op(op(op(e1,e1),op(e1,e1)),op(op(e1,e1),op(e1,e1)))
| op(op(op(e1,e1),op(e1,e1)),op(op(e1,e1),op(e1,e1))) = op(e2,op(op(e1,e1),op(e1,e1))) ),
introduced(tautology,[equality,[$cnf( $equal(op(op(op(e1,e1),op(e1,e1)),op(op(e1,e1),op(e1,e1))),op(op(op(e1,e1),op(e1,e1)),op(op(e1,e1),op(e1,e1)))) ),[1,0],$fot(e2)]]) ).
cnf(refute_20_23,plain,
( op(op(e1,e1),op(e1,e1)) != e2
| op(op(op(e1,e1),op(e1,e1)),op(op(e1,e1),op(e1,e1))) = op(e2,op(op(e1,e1),op(e1,e1))) ),
inference(resolve,[$cnf( $equal(op(op(op(e1,e1),op(e1,e1)),op(op(e1,e1),op(e1,e1))),op(op(op(e1,e1),op(e1,e1)),op(op(e1,e1),op(e1,e1)))) )],[refute_20_21,refute_20_22]) ).
cnf(refute_20_24,plain,
op(op(op(e1,e1),op(e1,e1)),op(op(e1,e1),op(e1,e1))) = op(e2,op(op(e1,e1),op(e1,e1))),
inference(resolve,[$cnf( $equal(op(op(e1,e1),op(e1,e1)),e2) )],[refute_20_16,refute_20_23]) ).
cnf(refute_20_25,plain,
( Y != X
| Y != Z
| X = Z ),
introduced(tautology,[equality,[$cnf( $equal(Y,Z) ),[0],$fot(X)]]) ).
cnf(refute_20_26,plain,
( X != Y
| Y != Z
| X = Z ),
inference(resolve,[$cnf( $equal(Y,X) )],[refute_20_7,refute_20_25]) ).
cnf(refute_20_27,plain,
( op(e2,op(op(e1,e1),op(e1,e1))) != op(e2,e2)
| op(op(op(e1,e1),op(e1,e1)),op(op(e1,e1),op(e1,e1))) != op(e2,op(op(e1,e1),op(e1,e1)))
| op(op(op(e1,e1),op(e1,e1)),op(op(e1,e1),op(e1,e1))) = op(e2,e2) ),
inference(subst,[],[refute_20_26:[bind(X,$fot(op(op(op(e1,e1),op(e1,e1)),op(op(e1,e1),op(e1,e1))))),bind(Y,$fot(op(e2,op(op(e1,e1),op(e1,e1))))),bind(Z,$fot(op(e2,e2)))]]) ).
cnf(refute_20_28,plain,
( op(e2,op(op(e1,e1),op(e1,e1))) != op(e2,e2)
| op(op(op(e1,e1),op(e1,e1)),op(op(e1,e1),op(e1,e1))) = op(e2,e2) ),
inference(resolve,[$cnf( $equal(op(op(op(e1,e1),op(e1,e1)),op(op(e1,e1),op(e1,e1))),op(e2,op(op(e1,e1),op(e1,e1)))) )],[refute_20_24,refute_20_27]) ).
cnf(refute_20_29,plain,
op(op(op(e1,e1),op(e1,e1)),op(op(e1,e1),op(e1,e1))) = op(e2,e2),
inference(resolve,[$cnf( $equal(op(e2,op(op(e1,e1),op(e1,e1))),op(e2,e2)) )],[refute_20_20,refute_20_28]) ).
cnf(refute_20_30,plain,
( e3 != op(op(op(e1,e1),op(e1,e1)),op(op(e1,e1),op(e1,e1)))
| op(op(op(e1,e1),op(e1,e1)),op(op(e1,e1),op(e1,e1))) != op(e2,e2)
| e3 = op(e2,e2) ),
introduced(tautology,[equality,[$cnf( ~ $equal(e3,op(e2,e2)) ),[0],$fot(op(op(op(e1,e1),op(e1,e1)),op(op(e1,e1),op(e1,e1))))]]) ).
cnf(refute_20_31,plain,
( e3 != op(op(op(e1,e1),op(e1,e1)),op(op(e1,e1),op(e1,e1)))
| e3 = op(e2,e2) ),
inference(resolve,[$cnf( $equal(op(op(op(e1,e1),op(e1,e1)),op(op(e1,e1),op(e1,e1))),op(e2,e2)) )],[refute_20_29,refute_20_30]) ).
cnf(refute_20_32,plain,
e3 = op(e2,e2),
inference(resolve,[$cnf( $equal(e3,op(op(op(e1,e1),op(e1,e1)),op(op(e1,e1),op(e1,e1)))) )],[refute_20_13,refute_20_31]) ).
cnf(refute_20_33,plain,
( e3 != op(e2,e2)
| op(e2,e2) = e3 ),
inference(subst,[],[refute_20_7:[bind(X,$fot(e3)),bind(Y,$fot(op(e2,e2)))]]) ).
cnf(refute_20_34,plain,
op(e2,e2) = e3,
inference(resolve,[$cnf( $equal(e3,op(e2,e2)) )],[refute_20_32,refute_20_33]) ).
cnf(refute_20_35,plain,
( op(e2,e2) != e1
| op(e2,e2) != e3
| e3 = e1 ),
introduced(tautology,[equality,[$cnf( $equal(op(e2,e2),e1) ),[0],$fot(e3)]]) ).
cnf(refute_20_36,plain,
( op(e2,e2) != e1
| e3 = e1 ),
inference(resolve,[$cnf( $equal(op(e2,e2),e3) )],[refute_20_34,refute_20_35]) ).
cnf(refute_20_37,plain,
( e3 = e1
| e4 = e1
| op(e0,e0) = e1
| op(e3,e3) = e1
| op(e4,e4) = e1 ),
inference(resolve,[$cnf( $equal(op(e2,e2),e1) )],[refute_20_12,refute_20_36]) ).
cnf(refute_20_38,plain,
op(e4,op(e1,e1)) = op(e4,op(e1,e1)),
introduced(tautology,[refl,[$fot(op(e4,op(e1,e1)))]]) ).
cnf(refute_20_39,plain,
( op(e1,e1) != e4
| op(e4,op(e1,e1)) != op(e4,op(e1,e1))
| op(e4,op(e1,e1)) = op(e4,e4) ),
introduced(tautology,[equality,[$cnf( $equal(op(e4,op(e1,e1)),op(e4,op(e1,e1))) ),[1,1],$fot(e4)]]) ).
cnf(refute_20_40,plain,
( op(e1,e1) != e4
| op(e4,op(e1,e1)) = op(e4,e4) ),
inference(resolve,[$cnf( $equal(op(e4,op(e1,e1)),op(e4,op(e1,e1))) )],[refute_20_38,refute_20_39]) ).
cnf(refute_20_41,plain,
op(e4,op(e1,e1)) = op(e4,e4),
inference(resolve,[$cnf( $equal(op(e1,e1),e4) )],[refute_20_9,refute_20_40]) ).
cnf(refute_20_42,plain,
op(op(e1,e1),op(e1,e1)) = op(op(e1,e1),op(e1,e1)),
introduced(tautology,[refl,[$fot(op(op(e1,e1),op(e1,e1)))]]) ).
cnf(refute_20_43,plain,
( op(e1,e1) != e4
| op(op(e1,e1),op(e1,e1)) != op(op(e1,e1),op(e1,e1))
| op(op(e1,e1),op(e1,e1)) = op(e4,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(e4)]]) ).
cnf(refute_20_44,plain,
( op(e1,e1) != e4
| op(op(e1,e1),op(e1,e1)) = op(e4,op(e1,e1)) ),
inference(resolve,[$cnf( $equal(op(op(e1,e1),op(e1,e1)),op(op(e1,e1),op(e1,e1))) )],[refute_20_42,refute_20_43]) ).
cnf(refute_20_45,plain,
op(op(e1,e1),op(e1,e1)) = op(e4,op(e1,e1)),
inference(resolve,[$cnf( $equal(op(e1,e1),e4) )],[refute_20_9,refute_20_44]) ).
cnf(refute_20_46,plain,
( op(e4,op(e1,e1)) != op(e4,e4)
| op(op(e1,e1),op(e1,e1)) != op(e4,op(e1,e1))
| op(op(e1,e1),op(e1,e1)) = op(e4,e4) ),
inference(subst,[],[refute_20_26:[bind(X,$fot(op(op(e1,e1),op(e1,e1)))),bind(Y,$fot(op(e4,op(e1,e1)))),bind(Z,$fot(op(e4,e4)))]]) ).
cnf(refute_20_47,plain,
( op(e4,op(e1,e1)) != op(e4,e4)
| op(op(e1,e1),op(e1,e1)) = op(e4,e4) ),
inference(resolve,[$cnf( $equal(op(op(e1,e1),op(e1,e1)),op(e4,op(e1,e1))) )],[refute_20_45,refute_20_46]) ).
cnf(refute_20_48,plain,
op(op(e1,e1),op(e1,e1)) = op(e4,e4),
inference(resolve,[$cnf( $equal(op(e4,op(e1,e1)),op(e4,e4)) )],[refute_20_41,refute_20_47]) ).
cnf(refute_20_49,plain,
( e2 != op(op(e1,e1),op(e1,e1))
| op(op(e1,e1),op(e1,e1)) != op(e4,e4)
| e2 = op(e4,e4) ),
introduced(tautology,[equality,[$cnf( ~ $equal(e2,op(e4,e4)) ),[0],$fot(op(op(e1,e1),op(e1,e1)))]]) ).
cnf(refute_20_50,plain,
( e2 != op(op(e1,e1),op(e1,e1))
| e2 = op(e4,e4) ),
inference(resolve,[$cnf( $equal(op(op(e1,e1),op(e1,e1)),op(e4,e4)) )],[refute_20_48,refute_20_49]) ).
cnf(refute_20_51,plain,
e2 = op(e4,e4),
inference(resolve,[$cnf( $equal(e2,op(op(e1,e1),op(e1,e1))) )],[refute_20_14,refute_20_50]) ).
cnf(refute_20_52,plain,
( e2 != op(e4,e4)
| op(e4,e4) = e2 ),
inference(subst,[],[refute_20_7:[bind(X,$fot(e2)),bind(Y,$fot(op(e4,e4)))]]) ).
cnf(refute_20_53,plain,
op(e4,e4) = e2,
inference(resolve,[$cnf( $equal(e2,op(e4,e4)) )],[refute_20_51,refute_20_52]) ).
cnf(refute_20_54,plain,
( op(e4,e4) != e1
| op(e4,e4) != e2
| e2 = e1 ),
introduced(tautology,[equality,[$cnf( $equal(op(e4,e4),e1) ),[0],$fot(e2)]]) ).
cnf(refute_20_55,plain,
( op(e4,e4) != e1
| e2 = e1 ),
inference(resolve,[$cnf( $equal(op(e4,e4),e2) )],[refute_20_53,refute_20_54]) ).
cnf(refute_20_56,plain,
( e2 = e1
| e3 = e1
| e4 = e1
| op(e0,e0) = e1
| op(e3,e3) = e1 ),
inference(resolve,[$cnf( $equal(op(e4,e4),e1) )],[refute_20_37,refute_20_55]) ).
cnf(refute_20_57,plain,
e1 != e2,
inference(canonicalize,[],[normalize_20_12]) ).
cnf(refute_20_58,plain,
( e2 != e1
| e1 = e2 ),
inference(subst,[],[refute_20_7:[bind(X,$fot(e2)),bind(Y,$fot(e1))]]) ).
cnf(refute_20_59,plain,
e2 != e1,
inference(resolve,[$cnf( $equal(e1,e2) )],[refute_20_58,refute_20_57]) ).
cnf(refute_20_60,plain,
( e3 = e1
| e4 = e1
| op(e0,e0) = e1
| op(e3,e3) = e1 ),
inference(resolve,[$cnf( $equal(e2,e1) )],[refute_20_56,refute_20_59]) ).
cnf(refute_20_61,plain,
e1 != e3,
inference(canonicalize,[],[normalize_20_13]) ).
cnf(refute_20_62,plain,
( e3 != e1
| e1 = e3 ),
inference(subst,[],[refute_20_7:[bind(X,$fot(e3)),bind(Y,$fot(e1))]]) ).
cnf(refute_20_63,plain,
e3 != e1,
inference(resolve,[$cnf( $equal(e1,e3) )],[refute_20_62,refute_20_61]) ).
cnf(refute_20_64,plain,
( e4 = e1
| op(e0,e0) = e1
| op(e3,e3) = e1 ),
inference(resolve,[$cnf( $equal(e3,e1) )],[refute_20_60,refute_20_63]) ).
cnf(refute_20_65,plain,
e1 != e4,
inference(canonicalize,[],[normalize_20_14]) ).
cnf(refute_20_66,plain,
( e4 != e1
| e1 = e4 ),
inference(subst,[],[refute_20_7:[bind(X,$fot(e4)),bind(Y,$fot(e1))]]) ).
cnf(refute_20_67,plain,
e4 != e1,
inference(resolve,[$cnf( $equal(e1,e4) )],[refute_20_66,refute_20_65]) ).
cnf(refute_20_68,plain,
( op(e0,e0) = e1
| op(e3,e3) = e1 ),
inference(resolve,[$cnf( $equal(e4,e1) )],[refute_20_64,refute_20_67]) ).
cnf(refute_20_69,plain,
( op(e1,e3) != e1
| op(e3,e3) != e1
| op(e1,e3) = op(e3,e3) ),
introduced(tautology,[equality,[$cnf( ~ $equal(op(e1,e3),op(e3,e3)) ),[1],$fot(e1)]]) ).
cnf(refute_20_70,plain,
( op(e1,e3) != e1
| op(e0,e0) = e1
| op(e1,e3) = op(e3,e3) ),
inference(resolve,[$cnf( $equal(op(e3,e3),e1) )],[refute_20_68,refute_20_69]) ).
cnf(refute_20_71,plain,
( op(e1,e3) != e1
| op(e0,e0) = e1 ),
inference(resolve,[$cnf( $equal(op(e1,e3),op(e3,e3)) )],[refute_20_70,refute_20_2]) ).
cnf(refute_20_72,plain,
op(e1,unit) = e1,
inference(canonicalize,[],[normalize_20_15]) ).
cnf(refute_20_73,plain,
op(unit,e3) = e3,
inference(canonicalize,[],[normalize_20_16]) ).
cnf(refute_20_74,plain,
( unit = e0
| unit = e1
| unit = e2
| unit = e3
| unit = e4 ),
inference(canonicalize,[],[normalize_20_17]) ).
cnf(refute_20_75,plain,
( op(unit,e4) != e4
| unit != e1
| op(e1,e4) = e4 ),
introduced(tautology,[equality,[$cnf( $equal(op(unit,e4),e4) ),[0,0],$fot(e1)]]) ).
cnf(refute_20_76,plain,
( op(unit,e4) != e4
| op(e1,e4) = e4
| unit = e0
| unit = e2
| unit = e3
| unit = e4 ),
inference(resolve,[$cnf( $equal(unit,e1) )],[refute_20_74,refute_20_75]) ).
cnf(refute_20_77,plain,
( op(e1,e4) = e4
| unit = e0
| unit = e2
| unit = e3
| unit = e4 ),
inference(resolve,[$cnf( $equal(op(unit,e4),e4) )],[refute_20_1,refute_20_76]) ).
cnf(refute_20_78,plain,
op(e1,e1) != op(e1,e4),
inference(canonicalize,[],[normalize_20_18]) ).
cnf(refute_20_79,plain,
( e4 != op(e1,e4)
| op(e1,e1) != e4
| op(e1,e1) = op(e1,e4) ),
introduced(tautology,[equality,[$cnf( $equal(op(e1,e1),e4) ),[1],$fot(op(e1,e4))]]) ).
cnf(refute_20_80,plain,
( e4 != op(e1,e4)
| op(e1,e1) = op(e1,e4) ),
inference(resolve,[$cnf( $equal(op(e1,e1),e4) )],[refute_20_9,refute_20_79]) ).
cnf(refute_20_81,plain,
e4 != op(e1,e4),
inference(resolve,[$cnf( $equal(op(e1,e1),op(e1,e4)) )],[refute_20_80,refute_20_78]) ).
cnf(refute_20_82,plain,
( op(e1,e4) != e4
| e4 = op(e1,e4) ),
inference(subst,[],[refute_20_7:[bind(X,$fot(op(e1,e4))),bind(Y,$fot(e4))]]) ).
cnf(refute_20_83,plain,
op(e1,e4) != e4,
inference(resolve,[$cnf( $equal(e4,op(e1,e4)) )],[refute_20_82,refute_20_81]) ).
cnf(refute_20_84,plain,
( unit = e0
| unit = e2
| unit = e3
| unit = e4 ),
inference(resolve,[$cnf( $equal(op(e1,e4),e4) )],[refute_20_77,refute_20_83]) ).
cnf(refute_20_85,plain,
( op(unit,e3) != e3
| unit != e2
| op(e2,e3) = e3 ),
introduced(tautology,[equality,[$cnf( $equal(op(unit,e3),e3) ),[0,0],$fot(e2)]]) ).
cnf(refute_20_86,plain,
( op(unit,e3) != e3
| op(e2,e3) = e3
| unit = e0
| unit = e3
| unit = e4 ),
inference(resolve,[$cnf( $equal(unit,e2) )],[refute_20_84,refute_20_85]) ).
cnf(refute_20_87,plain,
( op(e2,e3) = e3
| unit = e0
| unit = e3
| unit = e4 ),
inference(resolve,[$cnf( $equal(op(unit,e3),e3) )],[refute_20_73,refute_20_86]) ).
cnf(refute_20_88,plain,
op(e2,e2) != op(e2,e3),
inference(canonicalize,[],[normalize_20_19]) ).
cnf(refute_20_89,plain,
( e3 != op(e2,e3)
| op(e2,e2) != e3
| op(e2,e2) = op(e2,e3) ),
introduced(tautology,[equality,[$cnf( $equal(op(e2,e2),e3) ),[1],$fot(op(e2,e3))]]) ).
cnf(refute_20_90,plain,
( e3 != op(e2,e3)
| op(e2,e2) = op(e2,e3) ),
inference(resolve,[$cnf( $equal(op(e2,e2),e3) )],[refute_20_34,refute_20_89]) ).
cnf(refute_20_91,plain,
e3 != op(e2,e3),
inference(resolve,[$cnf( $equal(op(e2,e2),op(e2,e3)) )],[refute_20_90,refute_20_88]) ).
cnf(refute_20_92,plain,
( op(e2,e3) != e3
| e3 = op(e2,e3) ),
inference(subst,[],[refute_20_7:[bind(X,$fot(op(e2,e3))),bind(Y,$fot(e3))]]) ).
cnf(refute_20_93,plain,
op(e2,e3) != e3,
inference(resolve,[$cnf( $equal(e3,op(e2,e3)) )],[refute_20_92,refute_20_91]) ).
cnf(refute_20_94,plain,
( unit = e0
| unit = e3
| unit = e4 ),
inference(resolve,[$cnf( $equal(op(e2,e3),e3) )],[refute_20_87,refute_20_93]) ).
cnf(refute_20_95,plain,
( op(unit,e4) != e4
| unit != e4
| op(e4,e4) = e4 ),
introduced(tautology,[equality,[$cnf( $equal(op(unit,e4),e4) ),[0,0],$fot(e4)]]) ).
cnf(refute_20_96,plain,
( op(unit,e4) != e4
| op(e4,e4) = e4
| unit = e0
| unit = e3 ),
inference(resolve,[$cnf( $equal(unit,e4) )],[refute_20_94,refute_20_95]) ).
cnf(refute_20_97,plain,
( op(e4,e4) = e4
| unit = e0
| unit = e3 ),
inference(resolve,[$cnf( $equal(op(unit,e4),e4) )],[refute_20_1,refute_20_96]) ).
cnf(refute_20_98,plain,
( op(e4,e4) != e2
| op(e4,e4) != e4
| e2 = e4 ),
introduced(tautology,[equality,[$cnf( $equal(op(e4,e4),e4) ),[0],$fot(e2)]]) ).
cnf(refute_20_99,plain,
( op(e4,e4) != e4
| e2 = e4 ),
inference(resolve,[$cnf( $equal(op(e4,e4),e2) )],[refute_20_53,refute_20_98]) ).
cnf(refute_20_100,plain,
( e2 = e4
| unit = e0
| unit = e3 ),
inference(resolve,[$cnf( $equal(op(e4,e4),e4) )],[refute_20_97,refute_20_99]) ).
cnf(refute_20_101,plain,
e2 != e4,
inference(canonicalize,[],[normalize_20_20]) ).
cnf(refute_20_102,plain,
( unit = e0
| unit = e3 ),
inference(resolve,[$cnf( $equal(e2,e4) )],[refute_20_100,refute_20_101]) ).
cnf(refute_20_103,plain,
( op(e1,unit) != e1
| unit != e3
| op(e1,e3) = e1 ),
introduced(tautology,[equality,[$cnf( $equal(op(e1,unit),e1) ),[0,1],$fot(e3)]]) ).
cnf(refute_20_104,plain,
( op(e1,unit) != e1
| op(e1,e3) = e1
| unit = e0 ),
inference(resolve,[$cnf( $equal(unit,e3) )],[refute_20_102,refute_20_103]) ).
cnf(refute_20_105,plain,
( op(e1,e3) = e1
| unit = e0 ),
inference(resolve,[$cnf( $equal(op(e1,unit),e1) )],[refute_20_72,refute_20_104]) ).
cnf(refute_20_106,plain,
( e1 != e1
| op(e1,e3) != e1
| op(e1,e3) = e1 ),
introduced(tautology,[equality,[$cnf( $equal(op(e1,e3),e1) ),[0,0],$fot(e1)]]) ).
cnf(refute_20_107,plain,
( e1 != e1
| op(e1,e3) = e1
| unit = e0 ),
inference(resolve,[$cnf( $equal(op(e1,e3),e1) )],[refute_20_105,refute_20_106]) ).
cnf(refute_20_108,plain,
( e1 != e1
| op(e0,e0) = e1
| unit = e0 ),
inference(resolve,[$cnf( $equal(op(e1,e3),e1) )],[refute_20_107,refute_20_71]) ).
cnf(refute_20_109,plain,
e1 = e1,
introduced(tautology,[refl,[$fot(e1)]]) ).
cnf(refute_20_110,plain,
( op(e0,e0) = e1
| unit = e0 ),
inference(resolve,[$cnf( $equal(e1,e1) )],[refute_20_109,refute_20_108]) ).
cnf(refute_20_111,plain,
( op(e0,e0) = e0
| op(e1,e1) = e0
| op(e2,e2) = e0
| op(e3,e3) = e0
| op(e4,e4) = e0 ),
inference(canonicalize,[],[normalize_20_21]) ).
cnf(refute_20_112,plain,
( op(e1,e1) != e0
| op(e1,e1) != e4
| e4 = e0 ),
introduced(tautology,[equality,[$cnf( $equal(op(e1,e1),e0) ),[0],$fot(e4)]]) ).
cnf(refute_20_113,plain,
( op(e1,e1) != e0
| e4 = e0 ),
inference(resolve,[$cnf( $equal(op(e1,e1),e4) )],[refute_20_9,refute_20_112]) ).
cnf(refute_20_114,plain,
( e4 = e0
| op(e0,e0) = e0
| op(e2,e2) = e0
| op(e3,e3) = e0
| op(e4,e4) = e0 ),
inference(resolve,[$cnf( $equal(op(e1,e1),e0) )],[refute_20_111,refute_20_113]) ).
cnf(refute_20_115,plain,
( op(e2,e2) != e0
| op(e2,e2) != e3
| e3 = e0 ),
introduced(tautology,[equality,[$cnf( $equal(op(e2,e2),e0) ),[0],$fot(e3)]]) ).
cnf(refute_20_116,plain,
( op(e2,e2) != e0
| e3 = e0 ),
inference(resolve,[$cnf( $equal(op(e2,e2),e3) )],[refute_20_34,refute_20_115]) ).
cnf(refute_20_117,plain,
( e3 = e0
| e4 = e0
| op(e0,e0) = e0
| op(e3,e3) = e0
| op(e4,e4) = e0 ),
inference(resolve,[$cnf( $equal(op(e2,e2),e0) )],[refute_20_114,refute_20_116]) ).
cnf(refute_20_118,plain,
( op(e4,e4) != e0
| op(e4,e4) != e2
| e2 = e0 ),
introduced(tautology,[equality,[$cnf( $equal(op(e4,e4),e0) ),[0],$fot(e2)]]) ).
cnf(refute_20_119,plain,
( op(e4,e4) != e0
| e2 = e0 ),
inference(resolve,[$cnf( $equal(op(e4,e4),e2) )],[refute_20_53,refute_20_118]) ).
cnf(refute_20_120,plain,
( e2 = e0
| e3 = e0
| e4 = e0
| op(e0,e0) = e0
| op(e3,e3) = e0 ),
inference(resolve,[$cnf( $equal(op(e4,e4),e0) )],[refute_20_117,refute_20_119]) ).
cnf(refute_20_121,plain,
e0 != e2,
inference(canonicalize,[],[normalize_20_22]) ).
cnf(refute_20_122,plain,
( e2 != e0
| e0 = e2 ),
inference(subst,[],[refute_20_7:[bind(X,$fot(e2)),bind(Y,$fot(e0))]]) ).
cnf(refute_20_123,plain,
e2 != e0,
inference(resolve,[$cnf( $equal(e0,e2) )],[refute_20_122,refute_20_121]) ).
cnf(refute_20_124,plain,
( e3 = e0
| e4 = e0
| op(e0,e0) = e0
| op(e3,e3) = e0 ),
inference(resolve,[$cnf( $equal(e2,e0) )],[refute_20_120,refute_20_123]) ).
cnf(refute_20_125,plain,
e0 != e3,
inference(canonicalize,[],[normalize_20_23]) ).
cnf(refute_20_126,plain,
( e3 != e0
| e0 = e3 ),
inference(subst,[],[refute_20_7:[bind(X,$fot(e3)),bind(Y,$fot(e0))]]) ).
cnf(refute_20_127,plain,
e3 != e0,
inference(resolve,[$cnf( $equal(e0,e3) )],[refute_20_126,refute_20_125]) ).
cnf(refute_20_128,plain,
( e4 = e0
| op(e0,e0) = e0
| op(e3,e3) = e0 ),
inference(resolve,[$cnf( $equal(e3,e0) )],[refute_20_124,refute_20_127]) ).
cnf(refute_20_129,plain,
e0 != e4,
inference(canonicalize,[],[normalize_20_24]) ).
cnf(refute_20_130,plain,
( e4 != e0
| e0 = e4 ),
inference(subst,[],[refute_20_7:[bind(X,$fot(e4)),bind(Y,$fot(e0))]]) ).
cnf(refute_20_131,plain,
e4 != e0,
inference(resolve,[$cnf( $equal(e0,e4) )],[refute_20_130,refute_20_129]) ).
cnf(refute_20_132,plain,
( op(e0,e0) = e0
| op(e3,e3) = e0 ),
inference(resolve,[$cnf( $equal(e4,e0) )],[refute_20_128,refute_20_131]) ).
cnf(refute_20_133,plain,
( op(unit,e3) != e3
| unit != e3
| op(e3,e3) = e3 ),
introduced(tautology,[equality,[$cnf( $equal(op(unit,e3),e3) ),[0,0],$fot(e3)]]) ).
cnf(refute_20_134,plain,
( op(unit,e3) != e3
| op(e3,e3) = e3
| unit = e0 ),
inference(resolve,[$cnf( $equal(unit,e3) )],[refute_20_102,refute_20_133]) ).
cnf(refute_20_135,plain,
( op(e3,e3) = e3
| unit = e0 ),
inference(resolve,[$cnf( $equal(op(unit,e3),e3) )],[refute_20_73,refute_20_134]) ).
cnf(refute_20_136,plain,
( op(e3,e3) != e0
| op(e3,e3) != e3
| e3 = e0 ),
introduced(tautology,[equality,[$cnf( $equal(op(e3,e3),e0) ),[0],$fot(e3)]]) ).
cnf(refute_20_137,plain,
( op(e3,e3) != e0
| e3 = e0
| unit = e0 ),
inference(resolve,[$cnf( $equal(op(e3,e3),e3) )],[refute_20_135,refute_20_136]) ).
cnf(refute_20_138,plain,
( e3 = e0
| op(e0,e0) = e0
| unit = e0 ),
inference(resolve,[$cnf( $equal(op(e3,e3),e0) )],[refute_20_132,refute_20_137]) ).
cnf(refute_20_139,plain,
( op(e0,e0) = e0
| unit = e0 ),
inference(resolve,[$cnf( $equal(e3,e0) )],[refute_20_138,refute_20_127]) ).
cnf(refute_20_140,plain,
( op(e0,e0) != e0
| op(e0,e0) != e1
| e0 = e1 ),
introduced(tautology,[equality,[$cnf( $equal(op(e0,e0),e1) ),[0],$fot(e0)]]) ).
cnf(refute_20_141,plain,
( op(e0,e0) != e1
| e0 = e1
| unit = e0 ),
inference(resolve,[$cnf( $equal(op(e0,e0),e0) )],[refute_20_139,refute_20_140]) ).
cnf(refute_20_142,plain,
( e0 = e1
| unit = e0 ),
inference(resolve,[$cnf( $equal(op(e0,e0),e1) )],[refute_20_110,refute_20_141]) ).
cnf(refute_20_143,plain,
e0 != e1,
inference(canonicalize,[],[normalize_20_25]) ).
cnf(refute_20_144,plain,
unit = e0,
inference(resolve,[$cnf( $equal(e0,e1) )],[refute_20_142,refute_20_143]) ).
cnf(refute_20_145,plain,
op(unit,e4) = op(unit,e4),
introduced(tautology,[refl,[$fot(op(unit,e4))]]) ).
cnf(refute_20_146,plain,
( op(unit,e4) != op(unit,e4)
| unit != e0
| op(unit,e4) = op(e0,e4) ),
introduced(tautology,[equality,[$cnf( $equal(op(unit,e4),op(unit,e4)) ),[1,0],$fot(e0)]]) ).
cnf(refute_20_147,plain,
( unit != e0
| op(unit,e4) = op(e0,e4) ),
inference(resolve,[$cnf( $equal(op(unit,e4),op(unit,e4)) )],[refute_20_145,refute_20_146]) ).
cnf(refute_20_148,plain,
op(unit,e4) = op(e0,e4),
inference(resolve,[$cnf( $equal(unit,e0) )],[refute_20_144,refute_20_147]) ).
cnf(refute_20_149,plain,
( op(unit,e4) != e4
| op(unit,e4) != op(e0,e4)
| op(e0,e4) = e4 ),
introduced(tautology,[equality,[$cnf( $equal(op(unit,e4),e4) ),[0],$fot(op(e0,e4))]]) ).
cnf(refute_20_150,plain,
( op(unit,e4) != e4
| op(e0,e4) = e4 ),
inference(resolve,[$cnf( $equal(op(unit,e4),op(e0,e4)) )],[refute_20_148,refute_20_149]) ).
cnf(refute_20_151,plain,
op(e0,e4) = e4,
inference(resolve,[$cnf( $equal(op(unit,e4),e4) )],[refute_20_1,refute_20_150]) ).
cnf(refute_20_152,plain,
( e4 != op(e4,e0)
| op(e0,e4) != e4
| op(e0,e4) = op(e4,e0) ),
introduced(tautology,[equality,[$cnf( $equal(op(e0,e4),e4) ),[1],$fot(op(e4,e0))]]) ).
cnf(refute_20_153,plain,
( e4 != op(e4,e0)
| op(e0,e4) = op(e4,e0) ),
inference(resolve,[$cnf( $equal(op(e0,e4),e4) )],[refute_20_151,refute_20_152]) ).
cnf(refute_20_154,plain,
op(e4,unit) = e4,
inference(canonicalize,[],[normalize_20_26]) ).
cnf(refute_20_155,plain,
op(e4,unit) = op(e4,unit),
introduced(tautology,[refl,[$fot(op(e4,unit))]]) ).
cnf(refute_20_156,plain,
( op(e4,unit) != op(e4,unit)
| unit != e0
| op(e4,unit) = op(e4,e0) ),
introduced(tautology,[equality,[$cnf( $equal(op(e4,unit),op(e4,unit)) ),[1,1],$fot(e0)]]) ).
cnf(refute_20_157,plain,
( unit != e0
| op(e4,unit) = op(e4,e0) ),
inference(resolve,[$cnf( $equal(op(e4,unit),op(e4,unit)) )],[refute_20_155,refute_20_156]) ).
cnf(refute_20_158,plain,
op(e4,unit) = op(e4,e0),
inference(resolve,[$cnf( $equal(unit,e0) )],[refute_20_144,refute_20_157]) ).
cnf(refute_20_159,plain,
( op(e4,unit) != e4
| op(e4,unit) != op(e4,e0)
| op(e4,e0) = e4 ),
introduced(tautology,[equality,[$cnf( $equal(op(e4,unit),e4) ),[0],$fot(op(e4,e0))]]) ).
cnf(refute_20_160,plain,
( op(e4,unit) != e4
| op(e4,e0) = e4 ),
inference(resolve,[$cnf( $equal(op(e4,unit),op(e4,e0)) )],[refute_20_158,refute_20_159]) ).
cnf(refute_20_161,plain,
op(e4,e0) = e4,
inference(resolve,[$cnf( $equal(op(e4,unit),e4) )],[refute_20_154,refute_20_160]) ).
cnf(refute_20_162,plain,
( e4 != e4
| op(e4,e0) != e4
| e4 = op(e4,e0) ),
introduced(tautology,[equality,[$cnf( ~ $equal(e4,op(e4,e0)) ),[1],$fot(e4)]]) ).
cnf(refute_20_163,plain,
( e4 != e4
| e4 = op(e4,e0) ),
inference(resolve,[$cnf( $equal(op(e4,e0),e4) )],[refute_20_161,refute_20_162]) ).
cnf(refute_20_164,plain,
( e4 != e4
| op(e0,e4) = op(e4,e0) ),
inference(resolve,[$cnf( $equal(e4,op(e4,e0)) )],[refute_20_163,refute_20_153]) ).
cnf(refute_20_165,plain,
e4 != e4,
inference(resolve,[$cnf( $equal(op(e0,e4),op(e4,e0)) )],[refute_20_164,refute_20_0]) ).
cnf(refute_20_166,plain,
e4 = e4,
introduced(tautology,[refl,[$fot(e4)]]) ).
cnf(refute_20_167,plain,
$false,
inference(resolve,[$cnf( $equal(e4,e4) )],[refute_20_166,refute_20_165]) ).
fof(negate_21_0,plain,
~ ( ( ( op(e0,e0) = e0
| op(e1,e1) = e0
| op(e2,e2) = e0
| op(e3,e3) = e0
| op(e4,e4) = e0 )
& ( op(e0,e0) = e1
| op(e1,e1) = e1
| op(e2,e2) = e1
| op(e3,e3) = e1
| op(e4,e4) = e1 )
& ( op(e0,e0) = e2
| op(e1,e1) = e2
| op(e2,e2) = e2
| op(e3,e3) = e2
| op(e4,e4) = e2 )
& ( op(e0,e0) = e3
| op(e1,e1) = e3
| op(e2,e2) = e3
| op(e3,e3) = e3
| op(e4,e4) = e3 )
& ( op(e0,e0) = e4
| op(e1,e1) = e4
| op(e2,e2) = e4
| op(e3,e3) = e4
| op(e4,e4) = e4 )
& ~ ( op(e0,e0) != op(e0,e0)
& op(op(e0,e0),e0) = e0
& op(op(e0,e0),e0) != e0 )
& ~ ( op(e1,e0) != op(e0,e1)
& op(op(e0,e1),e1) = e0
& op(op(e0,e1),e0) != e1 )
& ~ ( op(e2,e0) != op(e0,e2)
& op(op(e0,e2),e2) = e0
& op(op(e0,e2),e0) != e2 )
& ~ ( op(e3,e0) != op(e0,e3)
& op(op(e0,e3),e3) = e0
& op(op(e0,e3),e0) != e3 )
& ~ ( op(e4,e0) != op(e0,e4)
& op(op(e0,e4),e4) = e0
& op(op(e0,e4),e0) != e4 )
& ~ ( op(e0,e1) != op(e1,e0)
& op(op(e1,e0),e0) = e1
& op(op(e1,e0),e1) != e0 )
& ~ ( op(e1,e1) != op(e1,e1)
& op(op(e1,e1),e1) = e1
& op(op(e1,e1),e1) != e1 )
& ~ ( op(e2,e1) != op(e1,e2)
& op(op(e1,e2),e2) = e1
& op(op(e1,e2),e1) != e2 )
& ~ ( op(e3,e1) != op(e1,e3)
& op(op(e1,e3),e3) = e1
& op(op(e1,e3),e1) != e3 )
& ~ ( op(e4,e1) != op(e1,e4)
& op(op(e1,e4),e4) = e1
& op(op(e1,e4),e1) != e4 )
& ~ ( op(e0,e2) != op(e2,e0)
& op(op(e2,e0),e0) = e2
& op(op(e2,e0),e2) != e0 )
& ~ ( op(e1,e2) != op(e2,e1)
& op(op(e2,e1),e1) = e2
& op(op(e2,e1),e2) != e1 )
& ~ ( op(e2,e2) != op(e2,e2)
& op(op(e2,e2),e2) = e2
& op(op(e2,e2),e2) != e2 )
& ~ ( op(e3,e2) != op(e2,e3)
& op(op(e2,e3),e3) = e2
& op(op(e2,e3),e2) != e3 )
& ~ ( op(e4,e2) != op(e2,e4)
& op(op(e2,e4),e4) = e2
& op(op(e2,e4),e2) != e4 )
& ~ ( op(e0,e3) != op(e3,e0)
& op(op(e3,e0),e0) = e3
& op(op(e3,e0),e3) != e0 )
& ~ ( op(e1,e3) != op(e3,e1)
& op(op(e3,e1),e1) = e3
& op(op(e3,e1),e3) != e1 )
& ~ ( op(e2,e3) != op(e3,e2)
& op(op(e3,e2),e2) = e3
& op(op(e3,e2),e3) != e2 )
& ~ ( op(e3,e3) != op(e3,e3)
& op(op(e3,e3),e3) = e3
& op(op(e3,e3),e3) != e3 )
& ~ ( op(e4,e3) != op(e3,e4)
& op(op(e3,e4),e4) = e3
& op(op(e3,e4),e3) != e4 )
& ~ ( op(e0,e4) != op(e4,e0)
& op(op(e4,e0),e0) = e4
& op(op(e4,e0),e4) != e0 )
& op(e1,e4) != op(e4,e1)
& op(op(e4,e1),e1) = e4 )
=> op(op(e4,e1),e4) = e1 ),
inference(negate,[],[subgoal_21]) ).
fof(normalize_21_0,plain,
( op(e1,e4) != op(e4,e1)
& op(op(e4,e1),e4) != e1
& op(op(e4,e1),e1) = e4
& ( op(op(e0,e1),e1) != e0
| op(e1,e0) = op(e0,e1)
| op(op(e0,e1),e0) = e1 )
& ( op(op(e0,e2),e2) != e0
| op(e2,e0) = op(e0,e2)
| op(op(e0,e2),e0) = e2 )
& ( op(op(e0,e3),e3) != e0
| op(e3,e0) = op(e0,e3)
| op(op(e0,e3),e0) = e3 )
& ( op(op(e0,e4),e4) != e0
| op(e4,e0) = op(e0,e4)
| op(op(e0,e4),e0) = e4 )
& ( op(op(e1,e0),e0) != e1
| op(e0,e1) = op(e1,e0)
| op(op(e1,e0),e1) = e0 )
& ( op(op(e1,e2),e2) != e1
| op(e2,e1) = op(e1,e2)
| op(op(e1,e2),e1) = e2 )
& ( op(op(e1,e3),e3) != e1
| op(e3,e1) = op(e1,e3)
| op(op(e1,e3),e1) = e3 )
& ( op(op(e1,e4),e4) != e1
| op(e4,e1) = op(e1,e4)
| op(op(e1,e4),e1) = e4 )
& ( op(op(e2,e0),e0) != e2
| op(e0,e2) = op(e2,e0)
| op(op(e2,e0),e2) = e0 )
& ( op(op(e2,e1),e1) != e2
| op(e1,e2) = op(e2,e1)
| op(op(e2,e1),e2) = e1 )
& ( op(op(e2,e3),e3) != e2
| op(e3,e2) = op(e2,e3)
| op(op(e2,e3),e2) = e3 )
& ( op(op(e2,e4),e4) != e2
| op(e4,e2) = op(e2,e4)
| op(op(e2,e4),e2) = e4 )
& ( op(op(e3,e0),e0) != e3
| op(e0,e3) = op(e3,e0)
| op(op(e3,e0),e3) = e0 )
& ( op(op(e3,e1),e1) != e3
| op(e1,e3) = op(e3,e1)
| op(op(e3,e1),e3) = e1 )
& ( op(op(e3,e2),e2) != e3
| op(e2,e3) = op(e3,e2)
| op(op(e3,e2),e3) = e2 )
& ( op(op(e3,e4),e4) != e3
| op(e4,e3) = op(e3,e4)
| op(op(e3,e4),e3) = e4 )
& ( op(op(e4,e0),e0) != e4
| op(e0,e4) = op(e4,e0)
| op(op(e4,e0),e4) = e0 )
& ( op(e0,e0) = e0
| op(e1,e1) = e0
| op(e2,e2) = e0
| op(e3,e3) = e0
| op(e4,e4) = e0 )
& ( op(e0,e0) = e1
| op(e1,e1) = e1
| op(e2,e2) = e1
| op(e3,e3) = e1
| op(e4,e4) = e1 )
& ( op(e0,e0) = e2
| op(e1,e1) = e2
| op(e2,e2) = e2
| op(e3,e3) = e2
| op(e4,e4) = e2 )
& ( op(e0,e0) = e3
| op(e1,e1) = e3
| op(e2,e2) = e3
| op(e3,e3) = e3
| op(e4,e4) = e3 )
& ( op(e0,e0) = e4
| op(e1,e1) = e4
| op(e2,e2) = e4
| op(e3,e3) = e4
| op(e4,e4) = e4 ) ),
inference(canonicalize,[],[negate_21_0]) ).
fof(normalize_21_1,plain,
( op(e0,e0) = e0
| op(e1,e1) = e0
| op(e2,e2) = e0
| op(e3,e3) = e0
| op(e4,e4) = e0 ),
inference(conjunct,[],[normalize_21_0]) ).
fof(normalize_21_2,plain,
( e0 = op(e1,op(op(e1,e1),op(e1,e1)))
& e2 = op(op(e1,e1),op(e1,e1))
& e3 = op(op(op(e1,e1),op(e1,e1)),op(op(e1,e1),op(e1,e1)))
& e4 = op(e1,e1) ),
inference(canonicalize,[],[ax6]) ).
fof(normalize_21_3,plain,
e4 = op(e1,e1),
inference(conjunct,[],[normalize_21_2]) ).
fof(normalize_21_4,plain,
e3 = op(op(op(e1,e1),op(e1,e1)),op(op(e1,e1),op(e1,e1))),
inference(conjunct,[],[normalize_21_2]) ).
fof(normalize_21_5,plain,
e2 = op(op(e1,e1),op(e1,e1)),
inference(conjunct,[],[normalize_21_2]) ).
fof(normalize_21_6,plain,
( e0 != e1
& e0 != e2
& e0 != e3
& e0 != e4
& e1 != e2
& e1 != e3
& e1 != e4
& e2 != e3
& e2 != e4
& e3 != e4 ),
inference(canonicalize,[],[ax5]) ).
fof(normalize_21_7,plain,
e0 != e2,
inference(conjunct,[],[normalize_21_6]) ).
fof(normalize_21_8,plain,
e0 != e3,
inference(conjunct,[],[normalize_21_6]) ).
fof(normalize_21_9,plain,
e0 != e4,
inference(conjunct,[],[normalize_21_6]) ).
fof(normalize_21_10,plain,
( op(e0,unit) = e0
& op(e1,unit) = e1
& op(e2,unit) = e2
& op(e3,unit) = e3
& op(e4,unit) = e4
& op(unit,e0) = e0
& op(unit,e1) = e1
& op(unit,e2) = e2
& op(unit,e3) = e3
& op(unit,e4) = e4
& ( unit = e0
| unit = e1
| unit = e2
| unit = e3
| unit = e4 ) ),
inference(canonicalize,[],[ax2]) ).
fof(normalize_21_11,plain,
op(e3,unit) = e3,
inference(conjunct,[],[normalize_21_10]) ).
fof(normalize_21_12,plain,
( op(e0,e0) != op(e0,e1)
& op(e0,e0) != op(e0,e2)
& op(e0,e0) != op(e0,e3)
& op(e0,e0) != op(e0,e4)
& op(e0,e0) != op(e1,e0)
& op(e0,e0) != op(e2,e0)
& op(e0,e0) != op(e3,e0)
& op(e0,e0) != op(e4,e0)
& op(e0,e1) != op(e0,e2)
& op(e0,e1) != op(e0,e3)
& op(e0,e1) != op(e0,e4)
& op(e0,e1) != op(e1,e1)
& op(e0,e1) != op(e2,e1)
& op(e0,e1) != op(e3,e1)
& op(e0,e1) != op(e4,e1)
& op(e0,e2) != op(e0,e3)
& op(e0,e2) != op(e0,e4)
& op(e0,e2) != op(e1,e2)
& op(e0,e2) != op(e2,e2)
& op(e0,e2) != op(e3,e2)
& op(e0,e2) != op(e4,e2)
& op(e0,e3) != op(e0,e4)
& op(e0,e3) != op(e1,e3)
& op(e0,e3) != op(e2,e3)
& op(e0,e3) != op(e3,e3)
& op(e0,e3) != op(e4,e3)
& op(e0,e4) != op(e1,e4)
& op(e0,e4) != op(e2,e4)
& op(e0,e4) != op(e3,e4)
& op(e0,e4) != op(e4,e4)
& op(e1,e0) != op(e1,e1)
& op(e1,e0) != op(e1,e2)
& op(e1,e0) != op(e1,e3)
& op(e1,e0) != op(e1,e4)
& op(e1,e0) != op(e2,e0)
& op(e1,e0) != op(e3,e0)
& op(e1,e0) != op(e4,e0)
& op(e1,e1) != op(e1,e2)
& op(e1,e1) != op(e1,e3)
& op(e1,e1) != op(e1,e4)
& op(e1,e1) != op(e2,e1)
& op(e1,e1) != op(e3,e1)
& op(e1,e1) != op(e4,e1)
& op(e1,e2) != op(e1,e3)
& op(e1,e2) != op(e1,e4)
& op(e1,e2) != op(e2,e2)
& op(e1,e2) != op(e3,e2)
& op(e1,e2) != op(e4,e2)
& op(e1,e3) != op(e1,e4)
& op(e1,e3) != op(e2,e3)
& op(e1,e3) != op(e3,e3)
& op(e1,e3) != op(e4,e3)
& op(e1,e4) != op(e2,e4)
& op(e1,e4) != op(e3,e4)
& op(e1,e4) != op(e4,e4)
& op(e2,e0) != op(e2,e1)
& op(e2,e0) != op(e2,e2)
& op(e2,e0) != op(e2,e3)
& op(e2,e0) != op(e2,e4)
& op(e2,e0) != op(e3,e0)
& op(e2,e0) != op(e4,e0)
& op(e2,e1) != op(e2,e2)
& op(e2,e1) != op(e2,e3)
& op(e2,e1) != op(e2,e4)
& op(e2,e1) != op(e3,e1)
& op(e2,e1) != op(e4,e1)
& op(e2,e2) != op(e2,e3)
& op(e2,e2) != op(e2,e4)
& op(e2,e2) != op(e3,e2)
& op(e2,e2) != op(e4,e2)
& op(e2,e3) != op(e2,e4)
& op(e2,e3) != op(e3,e3)
& op(e2,e3) != op(e4,e3)
& op(e2,e4) != op(e3,e4)
& op(e2,e4) != op(e4,e4)
& op(e3,e0) != op(e3,e1)
& op(e3,e0) != op(e3,e2)
& op(e3,e0) != op(e3,e3)
& op(e3,e0) != op(e3,e4)
& op(e3,e0) != op(e4,e0)
& op(e3,e1) != op(e3,e2)
& op(e3,e1) != op(e3,e3)
& op(e3,e1) != op(e3,e4)
& op(e3,e1) != op(e4,e1)
& op(e3,e2) != op(e3,e3)
& op(e3,e2) != op(e3,e4)
& op(e3,e2) != op(e4,e2)
& op(e3,e3) != op(e3,e4)
& op(e3,e3) != op(e4,e3)
& op(e3,e4) != op(e4,e4)
& op(e4,e0) != op(e4,e1)
& op(e4,e0) != op(e4,e2)
& op(e4,e0) != op(e4,e3)
& op(e4,e0) != op(e4,e4)
& op(e4,e1) != op(e4,e2)
& op(e4,e1) != op(e4,e3)
& op(e4,e1) != op(e4,e4)
& op(e4,e2) != op(e4,e3)
& op(e4,e2) != op(e4,e4)
& op(e4,e3) != op(e4,e4) ),
inference(canonicalize,[],[ax4]) ).
fof(normalize_21_13,plain,
op(e0,e1) != op(e0,e3),
inference(conjunct,[],[normalize_21_12]) ).
fof(normalize_21_14,plain,
op(e3,e0) != op(e3,e1),
inference(conjunct,[],[normalize_21_12]) ).
fof(normalize_21_15,plain,
op(op(e4,e1),e1) = e4,
inference(conjunct,[],[normalize_21_0]) ).
fof(normalize_21_16,plain,
( ( op(e0,e0) = e0
| op(e0,e1) = e0
| op(e0,e2) = e0
| op(e0,e3) = e0
| op(e0,e4) = e0 )
& ( op(e0,e0) = e0
| op(e1,e0) = e0
| op(e2,e0) = e0
| op(e3,e0) = e0
| op(e4,e0) = e0 )
& ( op(e0,e0) = e1
| op(e0,e1) = e1
| op(e0,e2) = e1
| op(e0,e3) = e1
| op(e0,e4) = e1 )
& ( op(e0,e0) = e1
| op(e1,e0) = e1
| op(e2,e0) = e1
| op(e3,e0) = e1
| op(e4,e0) = e1 )
& ( op(e0,e0) = e2
| op(e0,e1) = e2
| op(e0,e2) = e2
| op(e0,e3) = e2
| op(e0,e4) = e2 )
& ( op(e0,e0) = e2
| op(e1,e0) = e2
| op(e2,e0) = e2
| op(e3,e0) = e2
| op(e4,e0) = e2 )
& ( op(e0,e0) = e3
| op(e0,e1) = e3
| op(e0,e2) = e3
| op(e0,e3) = e3
| op(e0,e4) = e3 )
& ( op(e0,e0) = e3
| op(e1,e0) = e3
| op(e2,e0) = e3
| op(e3,e0) = e3
| op(e4,e0) = e3 )
& ( op(e0,e0) = e4
| op(e0,e1) = e4
| op(e0,e2) = e4
| op(e0,e3) = e4
| op(e0,e4) = e4 )
& ( op(e0,e0) = e4
| op(e1,e0) = e4
| op(e2,e0) = e4
| op(e3,e0) = e4
| op(e4,e0) = e4 )
& ( op(e0,e1) = e0
| op(e1,e1) = e0
| op(e2,e1) = e0
| op(e3,e1) = e0
| op(e4,e1) = e0 )
& ( op(e0,e1) = e1
| op(e1,e1) = e1
| op(e2,e1) = e1
| op(e3,e1) = e1
| op(e4,e1) = e1 )
& ( op(e0,e1) = e2
| op(e1,e1) = e2
| op(e2,e1) = e2
| op(e3,e1) = e2
| op(e4,e1) = e2 )
& ( op(e0,e1) = e3
| op(e1,e1) = e3
| op(e2,e1) = e3
| op(e3,e1) = e3
| op(e4,e1) = e3 )
& ( op(e0,e1) = e4
| op(e1,e1) = e4
| op(e2,e1) = e4
| op(e3,e1) = e4
| op(e4,e1) = e4 )
& ( op(e0,e2) = e0
| op(e1,e2) = e0
| op(e2,e2) = e0
| op(e3,e2) = e0
| op(e4,e2) = e0 )
& ( op(e0,e2) = e1
| op(e1,e2) = e1
| op(e2,e2) = e1
| op(e3,e2) = e1
| op(e4,e2) = e1 )
& ( op(e0,e2) = e2
| op(e1,e2) = e2
| op(e2,e2) = e2
| op(e3,e2) = e2
| op(e4,e2) = e2 )
& ( op(e0,e2) = e3
| op(e1,e2) = e3
| op(e2,e2) = e3
| op(e3,e2) = e3
| op(e4,e2) = e3 )
& ( op(e0,e2) = e4
| op(e1,e2) = e4
| op(e2,e2) = e4
| op(e3,e2) = e4
| op(e4,e2) = e4 )
& ( op(e0,e3) = e0
| op(e1,e3) = e0
| op(e2,e3) = e0
| op(e3,e3) = e0
| op(e4,e3) = e0 )
& ( op(e0,e3) = e1
| op(e1,e3) = e1
| op(e2,e3) = e1
| op(e3,e3) = e1
| op(e4,e3) = e1 )
& ( op(e0,e3) = e2
| op(e1,e3) = e2
| op(e2,e3) = e2
| op(e3,e3) = e2
| op(e4,e3) = e2 )
& ( op(e0,e3) = e3
| op(e1,e3) = e3
| op(e2,e3) = e3
| op(e3,e3) = e3
| op(e4,e3) = e3 )
& ( op(e0,e3) = e4
| op(e1,e3) = e4
| op(e2,e3) = e4
| op(e3,e3) = e4
| op(e4,e3) = e4 )
& ( op(e0,e4) = e0
| op(e1,e4) = e0
| op(e2,e4) = e0
| op(e3,e4) = e0
| op(e4,e4) = e0 )
& ( op(e0,e4) = e1
| op(e1,e4) = e1
| op(e2,e4) = e1
| op(e3,e4) = e1
| op(e4,e4) = e1 )
& ( op(e0,e4) = e2
| op(e1,e4) = e2
| op(e2,e4) = e2
| op(e3,e4) = e2
| op(e4,e4) = e2 )
& ( op(e0,e4) = e3
| op(e1,e4) = e3
| op(e2,e4) = e3
| op(e3,e4) = e3
| op(e4,e4) = e3 )
& ( op(e0,e4) = e4
| op(e1,e4) = e4
| op(e2,e4) = e4
| op(e3,e4) = e4
| op(e4,e4) = e4 )
& ( op(e1,e0) = e0
| op(e1,e1) = e0
| op(e1,e2) = e0
| op(e1,e3) = e0
| op(e1,e4) = e0 )
& ( op(e1,e0) = e1
| op(e1,e1) = e1
| op(e1,e2) = e1
| op(e1,e3) = e1
| op(e1,e4) = e1 )
& ( op(e1,e0) = e2
| op(e1,e1) = e2
| op(e1,e2) = e2
| op(e1,e3) = e2
| op(e1,e4) = e2 )
& ( op(e1,e0) = e3
| op(e1,e1) = e3
| op(e1,e2) = e3
| op(e1,e3) = e3
| op(e1,e4) = e3 )
& ( op(e1,e0) = e4
| op(e1,e1) = e4
| op(e1,e2) = e4
| op(e1,e3) = e4
| op(e1,e4) = e4 )
& ( op(e2,e0) = e0
| op(e2,e1) = e0
| op(e2,e2) = e0
| op(e2,e3) = e0
| op(e2,e4) = e0 )
& ( op(e2,e0) = e1
| op(e2,e1) = e1
| op(e2,e2) = e1
| op(e2,e3) = e1
| op(e2,e4) = e1 )
& ( op(e2,e0) = e2
| op(e2,e1) = e2
| op(e2,e2) = e2
| op(e2,e3) = e2
| op(e2,e4) = e2 )
& ( op(e2,e0) = e3
| op(e2,e1) = e3
| op(e2,e2) = e3
| op(e2,e3) = e3
| op(e2,e4) = e3 )
& ( op(e2,e0) = e4
| op(e2,e1) = e4
| op(e2,e2) = e4
| op(e2,e3) = e4
| op(e2,e4) = e4 )
& ( op(e3,e0) = e0
| op(e3,e1) = e0
| op(e3,e2) = e0
| op(e3,e3) = e0
| op(e3,e4) = e0 )
& ( op(e3,e0) = e1
| op(e3,e1) = e1
| op(e3,e2) = e1
| op(e3,e3) = e1
| op(e3,e4) = e1 )
& ( op(e3,e0) = e2
| op(e3,e1) = e2
| op(e3,e2) = e2
| op(e3,e3) = e2
| op(e3,e4) = e2 )
& ( op(e3,e0) = e3
| op(e3,e1) = e3
| op(e3,e2) = e3
| op(e3,e3) = e3
| op(e3,e4) = e3 )
& ( op(e3,e0) = e4
| op(e3,e1) = e4
| op(e3,e2) = e4
| op(e3,e3) = e4
| op(e3,e4) = e4 )
& ( op(e4,e0) = e0
| op(e4,e1) = e0
| op(e4,e2) = e0
| op(e4,e3) = e0
| op(e4,e4) = e0 )
& ( op(e4,e0) = e1
| op(e4,e1) = e1
| op(e4,e2) = e1
| op(e4,e3) = e1
| op(e4,e4) = e1 )
& ( op(e4,e0) = e2
| op(e4,e1) = e2
| op(e4,e2) = e2
| op(e4,e3) = e2
| op(e4,e4) = e2 )
& ( op(e4,e0) = e3
| op(e4,e1) = e3
| op(e4,e2) = e3
| op(e4,e3) = e3
| op(e4,e4) = e3 )
& ( op(e4,e0) = e4
| op(e4,e1) = e4
| op(e4,e2) = e4
| op(e4,e3) = e4
| op(e4,e4) = e4 ) ),
inference(canonicalize,[],[ax3]) ).
fof(normalize_21_17,plain,
( op(e0,e1) = e3
| op(e1,e1) = e3
| op(e2,e1) = e3
| op(e3,e1) = e3
| op(e4,e1) = e3 ),
inference(conjunct,[],[normalize_21_16]) ).
fof(normalize_21_18,plain,
e3 != e4,
inference(conjunct,[],[normalize_21_6]) ).
fof(normalize_21_19,plain,
op(e2,e1) != op(e2,e2),
inference(conjunct,[],[normalize_21_12]) ).
fof(normalize_21_20,plain,
op(e1,e1) != op(e3,e1),
inference(conjunct,[],[normalize_21_12]) ).
fof(normalize_21_21,plain,
op(e4,unit) = e4,
inference(conjunct,[],[normalize_21_10]) ).
fof(normalize_21_22,plain,
( unit = e0
| unit = e1
| unit = e2
| unit = e3
| unit = e4 ),
inference(conjunct,[],[normalize_21_10]) ).
fof(normalize_21_23,plain,
op(e1,e1) != op(e4,e1),
inference(conjunct,[],[normalize_21_12]) ).
fof(normalize_21_24,plain,
op(e2,e2) != op(e3,e2),
inference(conjunct,[],[normalize_21_12]) ).
fof(normalize_21_25,plain,
e2 != e4,
inference(conjunct,[],[normalize_21_6]) ).
fof(normalize_21_26,plain,
op(unit,e3) = e3,
inference(conjunct,[],[normalize_21_10]) ).
fof(normalize_21_27,plain,
op(e0,e0) != op(e0,e3),
inference(conjunct,[],[normalize_21_12]) ).
fof(normalize_21_28,plain,
op(e0,unit) = e0,
inference(conjunct,[],[normalize_21_10]) ).
cnf(refute_21_0,plain,
( op(e0,e0) = e0
| op(e1,e1) = e0
| op(e2,e2) = e0
| op(e3,e3) = e0
| op(e4,e4) = e0 ),
inference(canonicalize,[],[normalize_21_1]) ).
cnf(refute_21_1,plain,
e4 = op(e1,e1),
inference(canonicalize,[],[normalize_21_3]) ).
cnf(refute_21_2,plain,
X = X,
introduced(tautology,[refl,[$fot(X)]]) ).
cnf(refute_21_3,plain,
( X != X
| X != Y
| Y = X ),
introduced(tautology,[equality,[$cnf( $equal(X,X) ),[0],$fot(Y)]]) ).
cnf(refute_21_4,plain,
( X != Y
| Y = X ),
inference(resolve,[$cnf( $equal(X,X) )],[refute_21_2,refute_21_3]) ).
cnf(refute_21_5,plain,
( e4 != op(e1,e1)
| op(e1,e1) = e4 ),
inference(subst,[],[refute_21_4:[bind(X,$fot(e4)),bind(Y,$fot(op(e1,e1)))]]) ).
cnf(refute_21_6,plain,
op(e1,e1) = e4,
inference(resolve,[$cnf( $equal(e4,op(e1,e1)) )],[refute_21_1,refute_21_5]) ).
cnf(refute_21_7,plain,
( op(e1,e1) != e0
| op(e1,e1) != e4
| e4 = e0 ),
introduced(tautology,[equality,[$cnf( $equal(op(e1,e1),e0) ),[0],$fot(e4)]]) ).
cnf(refute_21_8,plain,
( op(e1,e1) != e0
| e4 = e0 ),
inference(resolve,[$cnf( $equal(op(e1,e1),e4) )],[refute_21_6,refute_21_7]) ).
cnf(refute_21_9,plain,
( e4 = e0
| op(e0,e0) = e0
| op(e2,e2) = e0
| op(e3,e3) = e0
| op(e4,e4) = e0 ),
inference(resolve,[$cnf( $equal(op(e1,e1),e0) )],[refute_21_0,refute_21_8]) ).
cnf(refute_21_10,plain,
e3 = op(op(op(e1,e1),op(e1,e1)),op(op(e1,e1),op(e1,e1))),
inference(canonicalize,[],[normalize_21_4]) ).
cnf(refute_21_11,plain,
e2 = op(op(e1,e1),op(e1,e1)),
inference(canonicalize,[],[normalize_21_5]) ).
cnf(refute_21_12,plain,
( e2 != op(op(e1,e1),op(e1,e1))
| op(op(e1,e1),op(e1,e1)) = e2 ),
inference(subst,[],[refute_21_4:[bind(X,$fot(e2)),bind(Y,$fot(op(op(e1,e1),op(e1,e1))))]]) ).
cnf(refute_21_13,plain,
op(op(e1,e1),op(e1,e1)) = e2,
inference(resolve,[$cnf( $equal(e2,op(op(e1,e1),op(e1,e1))) )],[refute_21_11,refute_21_12]) ).
cnf(refute_21_14,plain,
op(e2,op(op(e1,e1),op(e1,e1))) = op(e2,op(op(e1,e1),op(e1,e1))),
introduced(tautology,[refl,[$fot(op(e2,op(op(e1,e1),op(e1,e1))))]]) ).
cnf(refute_21_15,plain,
( op(e2,op(op(e1,e1),op(e1,e1))) != op(e2,op(op(e1,e1),op(e1,e1)))
| op(op(e1,e1),op(e1,e1)) != e2
| op(e2,op(op(e1,e1),op(e1,e1))) = op(e2,e2) ),
introduced(tautology,[equality,[$cnf( $equal(op(e2,op(op(e1,e1),op(e1,e1))),op(e2,op(op(e1,e1),op(e1,e1)))) ),[1,1],$fot(e2)]]) ).
cnf(refute_21_16,plain,
( op(op(e1,e1),op(e1,e1)) != e2
| op(e2,op(op(e1,e1),op(e1,e1))) = op(e2,e2) ),
inference(resolve,[$cnf( $equal(op(e2,op(op(e1,e1),op(e1,e1))),op(e2,op(op(e1,e1),op(e1,e1)))) )],[refute_21_14,refute_21_15]) ).
cnf(refute_21_17,plain,
op(e2,op(op(e1,e1),op(e1,e1))) = op(e2,e2),
inference(resolve,[$cnf( $equal(op(op(e1,e1),op(e1,e1)),e2) )],[refute_21_13,refute_21_16]) ).
cnf(refute_21_18,plain,
op(op(op(e1,e1),op(e1,e1)),op(op(e1,e1),op(e1,e1))) = op(op(op(e1,e1),op(e1,e1)),op(op(e1,e1),op(e1,e1))),
introduced(tautology,[refl,[$fot(op(op(op(e1,e1),op(e1,e1)),op(op(e1,e1),op(e1,e1))))]]) ).
cnf(refute_21_19,plain,
( op(op(e1,e1),op(e1,e1)) != e2
| op(op(op(e1,e1),op(e1,e1)),op(op(e1,e1),op(e1,e1))) != op(op(op(e1,e1),op(e1,e1)),op(op(e1,e1),op(e1,e1)))
| op(op(op(e1,e1),op(e1,e1)),op(op(e1,e1),op(e1,e1))) = op(e2,op(op(e1,e1),op(e1,e1))) ),
introduced(tautology,[equality,[$cnf( $equal(op(op(op(e1,e1),op(e1,e1)),op(op(e1,e1),op(e1,e1))),op(op(op(e1,e1),op(e1,e1)),op(op(e1,e1),op(e1,e1)))) ),[1,0],$fot(e2)]]) ).
cnf(refute_21_20,plain,
( op(op(e1,e1),op(e1,e1)) != e2
| op(op(op(e1,e1),op(e1,e1)),op(op(e1,e1),op(e1,e1))) = op(e2,op(op(e1,e1),op(e1,e1))) ),
inference(resolve,[$cnf( $equal(op(op(op(e1,e1),op(e1,e1)),op(op(e1,e1),op(e1,e1))),op(op(op(e1,e1),op(e1,e1)),op(op(e1,e1),op(e1,e1)))) )],[refute_21_18,refute_21_19]) ).
cnf(refute_21_21,plain,
op(op(op(e1,e1),op(e1,e1)),op(op(e1,e1),op(e1,e1))) = op(e2,op(op(e1,e1),op(e1,e1))),
inference(resolve,[$cnf( $equal(op(op(e1,e1),op(e1,e1)),e2) )],[refute_21_13,refute_21_20]) ).
cnf(refute_21_22,plain,
( Y != X
| Y != Z
| X = Z ),
introduced(tautology,[equality,[$cnf( $equal(Y,Z) ),[0],$fot(X)]]) ).
cnf(refute_21_23,plain,
( X != Y
| Y != Z
| X = Z ),
inference(resolve,[$cnf( $equal(Y,X) )],[refute_21_4,refute_21_22]) ).
cnf(refute_21_24,plain,
( op(e2,op(op(e1,e1),op(e1,e1))) != op(e2,e2)
| op(op(op(e1,e1),op(e1,e1)),op(op(e1,e1),op(e1,e1))) != op(e2,op(op(e1,e1),op(e1,e1)))
| op(op(op(e1,e1),op(e1,e1)),op(op(e1,e1),op(e1,e1))) = op(e2,e2) ),
inference(subst,[],[refute_21_23:[bind(X,$fot(op(op(op(e1,e1),op(e1,e1)),op(op(e1,e1),op(e1,e1))))),bind(Y,$fot(op(e2,op(op(e1,e1),op(e1,e1))))),bind(Z,$fot(op(e2,e2)))]]) ).
cnf(refute_21_25,plain,
( op(e2,op(op(e1,e1),op(e1,e1))) != op(e2,e2)
| op(op(op(e1,e1),op(e1,e1)),op(op(e1,e1),op(e1,e1))) = op(e2,e2) ),
inference(resolve,[$cnf( $equal(op(op(op(e1,e1),op(e1,e1)),op(op(e1,e1),op(e1,e1))),op(e2,op(op(e1,e1),op(e1,e1)))) )],[refute_21_21,refute_21_24]) ).
cnf(refute_21_26,plain,
op(op(op(e1,e1),op(e1,e1)),op(op(e1,e1),op(e1,e1))) = op(e2,e2),
inference(resolve,[$cnf( $equal(op(e2,op(op(e1,e1),op(e1,e1))),op(e2,e2)) )],[refute_21_17,refute_21_25]) ).
cnf(refute_21_27,plain,
( e3 != op(op(op(e1,e1),op(e1,e1)),op(op(e1,e1),op(e1,e1)))
| op(op(op(e1,e1),op(e1,e1)),op(op(e1,e1),op(e1,e1))) != op(e2,e2)
| e3 = op(e2,e2) ),
introduced(tautology,[equality,[$cnf( ~ $equal(e3,op(e2,e2)) ),[0],$fot(op(op(op(e1,e1),op(e1,e1)),op(op(e1,e1),op(e1,e1))))]]) ).
cnf(refute_21_28,plain,
( e3 != op(op(op(e1,e1),op(e1,e1)),op(op(e1,e1),op(e1,e1)))
| e3 = op(e2,e2) ),
inference(resolve,[$cnf( $equal(op(op(op(e1,e1),op(e1,e1)),op(op(e1,e1),op(e1,e1))),op(e2,e2)) )],[refute_21_26,refute_21_27]) ).
cnf(refute_21_29,plain,
e3 = op(e2,e2),
inference(resolve,[$cnf( $equal(e3,op(op(op(e1,e1),op(e1,e1)),op(op(e1,e1),op(e1,e1)))) )],[refute_21_10,refute_21_28]) ).
cnf(refute_21_30,plain,
( e3 != op(e2,e2)
| op(e2,e2) = e3 ),
inference(subst,[],[refute_21_4:[bind(X,$fot(e3)),bind(Y,$fot(op(e2,e2)))]]) ).
cnf(refute_21_31,plain,
op(e2,e2) = e3,
inference(resolve,[$cnf( $equal(e3,op(e2,e2)) )],[refute_21_29,refute_21_30]) ).
cnf(refute_21_32,plain,
( op(e2,e2) != e0
| op(e2,e2) != e3
| e3 = e0 ),
introduced(tautology,[equality,[$cnf( $equal(op(e2,e2),e0) ),[0],$fot(e3)]]) ).
cnf(refute_21_33,plain,
( op(e2,e2) != e0
| e3 = e0 ),
inference(resolve,[$cnf( $equal(op(e2,e2),e3) )],[refute_21_31,refute_21_32]) ).
cnf(refute_21_34,plain,
( e3 = e0
| e4 = e0
| op(e0,e0) = e0
| op(e3,e3) = e0
| op(e4,e4) = e0 ),
inference(resolve,[$cnf( $equal(op(e2,e2),e0) )],[refute_21_9,refute_21_33]) ).
cnf(refute_21_35,plain,
op(e4,op(e1,e1)) = op(e4,op(e1,e1)),
introduced(tautology,[refl,[$fot(op(e4,op(e1,e1)))]]) ).
cnf(refute_21_36,plain,
( op(e1,e1) != e4
| op(e4,op(e1,e1)) != op(e4,op(e1,e1))
| op(e4,op(e1,e1)) = op(e4,e4) ),
introduced(tautology,[equality,[$cnf( $equal(op(e4,op(e1,e1)),op(e4,op(e1,e1))) ),[1,1],$fot(e4)]]) ).
cnf(refute_21_37,plain,
( op(e1,e1) != e4
| op(e4,op(e1,e1)) = op(e4,e4) ),
inference(resolve,[$cnf( $equal(op(e4,op(e1,e1)),op(e4,op(e1,e1))) )],[refute_21_35,refute_21_36]) ).
cnf(refute_21_38,plain,
op(e4,op(e1,e1)) = op(e4,e4),
inference(resolve,[$cnf( $equal(op(e1,e1),e4) )],[refute_21_6,refute_21_37]) ).
cnf(refute_21_39,plain,
op(op(e1,e1),op(e1,e1)) = op(op(e1,e1),op(e1,e1)),
introduced(tautology,[refl,[$fot(op(op(e1,e1),op(e1,e1)))]]) ).
cnf(refute_21_40,plain,
( op(e1,e1) != e4
| op(op(e1,e1),op(e1,e1)) != op(op(e1,e1),op(e1,e1))
| op(op(e1,e1),op(e1,e1)) = op(e4,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(e4)]]) ).
cnf(refute_21_41,plain,
( op(e1,e1) != e4
| op(op(e1,e1),op(e1,e1)) = op(e4,op(e1,e1)) ),
inference(resolve,[$cnf( $equal(op(op(e1,e1),op(e1,e1)),op(op(e1,e1),op(e1,e1))) )],[refute_21_39,refute_21_40]) ).
cnf(refute_21_42,plain,
op(op(e1,e1),op(e1,e1)) = op(e4,op(e1,e1)),
inference(resolve,[$cnf( $equal(op(e1,e1),e4) )],[refute_21_6,refute_21_41]) ).
cnf(refute_21_43,plain,
( op(e4,op(e1,e1)) != op(e4,e4)
| op(op(e1,e1),op(e1,e1)) != op(e4,op(e1,e1))
| op(op(e1,e1),op(e1,e1)) = op(e4,e4) ),
inference(subst,[],[refute_21_23:[bind(X,$fot(op(op(e1,e1),op(e1,e1)))),bind(Y,$fot(op(e4,op(e1,e1)))),bind(Z,$fot(op(e4,e4)))]]) ).
cnf(refute_21_44,plain,
( op(e4,op(e1,e1)) != op(e4,e4)
| op(op(e1,e1),op(e1,e1)) = op(e4,e4) ),
inference(resolve,[$cnf( $equal(op(op(e1,e1),op(e1,e1)),op(e4,op(e1,e1))) )],[refute_21_42,refute_21_43]) ).
cnf(refute_21_45,plain,
op(op(e1,e1),op(e1,e1)) = op(e4,e4),
inference(resolve,[$cnf( $equal(op(e4,op(e1,e1)),op(e4,e4)) )],[refute_21_38,refute_21_44]) ).
cnf(refute_21_46,plain,
( e2 != op(op(e1,e1),op(e1,e1))
| op(op(e1,e1),op(e1,e1)) != op(e4,e4)
| e2 = op(e4,e4) ),
introduced(tautology,[equality,[$cnf( ~ $equal(e2,op(e4,e4)) ),[0],$fot(op(op(e1,e1),op(e1,e1)))]]) ).
cnf(refute_21_47,plain,
( e2 != op(op(e1,e1),op(e1,e1))
| e2 = op(e4,e4) ),
inference(resolve,[$cnf( $equal(op(op(e1,e1),op(e1,e1)),op(e4,e4)) )],[refute_21_45,refute_21_46]) ).
cnf(refute_21_48,plain,
e2 = op(e4,e4),
inference(resolve,[$cnf( $equal(e2,op(op(e1,e1),op(e1,e1))) )],[refute_21_11,refute_21_47]) ).
cnf(refute_21_49,plain,
( e2 != op(e4,e4)
| op(e4,e4) = e2 ),
inference(subst,[],[refute_21_4:[bind(X,$fot(e2)),bind(Y,$fot(op(e4,e4)))]]) ).
cnf(refute_21_50,plain,
op(e4,e4) = e2,
inference(resolve,[$cnf( $equal(e2,op(e4,e4)) )],[refute_21_48,refute_21_49]) ).
cnf(refute_21_51,plain,
( op(e4,e4) != e0
| op(e4,e4) != e2
| e2 = e0 ),
introduced(tautology,[equality,[$cnf( $equal(op(e4,e4),e0) ),[0],$fot(e2)]]) ).
cnf(refute_21_52,plain,
( op(e4,e4) != e0
| e2 = e0 ),
inference(resolve,[$cnf( $equal(op(e4,e4),e2) )],[refute_21_50,refute_21_51]) ).
cnf(refute_21_53,plain,
( e2 = e0
| e3 = e0
| e4 = e0
| op(e0,e0) = e0
| op(e3,e3) = e0 ),
inference(resolve,[$cnf( $equal(op(e4,e4),e0) )],[refute_21_34,refute_21_52]) ).
cnf(refute_21_54,plain,
e0 != e2,
inference(canonicalize,[],[normalize_21_7]) ).
cnf(refute_21_55,plain,
( e2 != e0
| e0 = e2 ),
inference(subst,[],[refute_21_4:[bind(X,$fot(e2)),bind(Y,$fot(e0))]]) ).
cnf(refute_21_56,plain,
e2 != e0,
inference(resolve,[$cnf( $equal(e0,e2) )],[refute_21_55,refute_21_54]) ).
cnf(refute_21_57,plain,
( e3 = e0
| e4 = e0
| op(e0,e0) = e0
| op(e3,e3) = e0 ),
inference(resolve,[$cnf( $equal(e2,e0) )],[refute_21_53,refute_21_56]) ).
cnf(refute_21_58,plain,
e0 != e3,
inference(canonicalize,[],[normalize_21_8]) ).
cnf(refute_21_59,plain,
( e3 != e0
| e0 = e3 ),
inference(subst,[],[refute_21_4:[bind(X,$fot(e3)),bind(Y,$fot(e0))]]) ).
cnf(refute_21_60,plain,
e3 != e0,
inference(resolve,[$cnf( $equal(e0,e3) )],[refute_21_59,refute_21_58]) ).
cnf(refute_21_61,plain,
( e4 = e0
| op(e0,e0) = e0
| op(e3,e3) = e0 ),
inference(resolve,[$cnf( $equal(e3,e0) )],[refute_21_57,refute_21_60]) ).
cnf(refute_21_62,plain,
e0 != e4,
inference(canonicalize,[],[normalize_21_9]) ).
cnf(refute_21_63,plain,
( e4 != e0
| e0 = e4 ),
inference(subst,[],[refute_21_4:[bind(X,$fot(e4)),bind(Y,$fot(e0))]]) ).
cnf(refute_21_64,plain,
e4 != e0,
inference(resolve,[$cnf( $equal(e0,e4) )],[refute_21_63,refute_21_62]) ).
cnf(refute_21_65,plain,
( op(e0,e0) = e0
| op(e3,e3) = e0 ),
inference(resolve,[$cnf( $equal(e4,e0) )],[refute_21_61,refute_21_64]) ).
cnf(refute_21_66,plain,
op(e3,unit) = e3,
inference(canonicalize,[],[normalize_21_11]) ).
cnf(refute_21_67,plain,
op(e0,e1) != op(e0,e3),
inference(canonicalize,[],[normalize_21_13]) ).
cnf(refute_21_68,plain,
op(e3,e0) != op(e3,e1),
inference(canonicalize,[],[normalize_21_14]) ).
cnf(refute_21_69,plain,
op(op(e4,e1),e1) = e4,
inference(canonicalize,[],[normalize_21_15]) ).
cnf(refute_21_70,plain,
( op(e0,e1) = e3
| op(e1,e1) = e3
| op(e2,e1) = e3
| op(e3,e1) = e3
| op(e4,e1) = e3 ),
inference(canonicalize,[],[normalize_21_17]) ).
cnf(refute_21_71,plain,
( op(e1,e1) != e3
| op(e1,e1) != e4
| e4 = e3 ),
introduced(tautology,[equality,[$cnf( $equal(op(e1,e1),e3) ),[0],$fot(e4)]]) ).
cnf(refute_21_72,plain,
( op(e1,e1) != e3
| e4 = e3 ),
inference(resolve,[$cnf( $equal(op(e1,e1),e4) )],[refute_21_6,refute_21_71]) ).
cnf(refute_21_73,plain,
( e4 = e3
| op(e0,e1) = e3
| op(e2,e1) = e3
| op(e3,e1) = e3
| op(e4,e1) = e3 ),
inference(resolve,[$cnf( $equal(op(e1,e1),e3) )],[refute_21_70,refute_21_72]) ).
cnf(refute_21_74,plain,
e3 != e4,
inference(canonicalize,[],[normalize_21_18]) ).
cnf(refute_21_75,plain,
( e4 != e3
| e3 = e4 ),
inference(subst,[],[refute_21_4:[bind(X,$fot(e4)),bind(Y,$fot(e3))]]) ).
cnf(refute_21_76,plain,
e4 != e3,
inference(resolve,[$cnf( $equal(e3,e4) )],[refute_21_75,refute_21_74]) ).
cnf(refute_21_77,plain,
( op(e0,e1) = e3
| op(e2,e1) = e3
| op(e3,e1) = e3
| op(e4,e1) = e3 ),
inference(resolve,[$cnf( $equal(e4,e3) )],[refute_21_73,refute_21_76]) ).
cnf(refute_21_78,plain,
op(e2,e1) != op(e2,e2),
inference(canonicalize,[],[normalize_21_19]) ).
cnf(refute_21_79,plain,
( op(e2,e1) != e3
| op(e2,e2) != e3
| op(e2,e1) = op(e2,e2) ),
introduced(tautology,[equality,[$cnf( ~ $equal(op(e2,e1),op(e2,e2)) ),[1],$fot(e3)]]) ).
cnf(refute_21_80,plain,
( op(e2,e1) != e3
| op(e2,e1) = op(e2,e2) ),
inference(resolve,[$cnf( $equal(op(e2,e2),e3) )],[refute_21_31,refute_21_79]) ).
cnf(refute_21_81,plain,
op(e2,e1) != e3,
inference(resolve,[$cnf( $equal(op(e2,e1),op(e2,e2)) )],[refute_21_80,refute_21_78]) ).
cnf(refute_21_82,plain,
( op(e0,e1) = e3
| op(e3,e1) = e3
| op(e4,e1) = e3 ),
inference(resolve,[$cnf( $equal(op(e2,e1),e3) )],[refute_21_77,refute_21_81]) ).
cnf(refute_21_83,plain,
( op(e4,e1) != e3
| op(op(e4,e1),e1) != e4
| op(e3,e1) = e4 ),
introduced(tautology,[equality,[$cnf( $equal(op(op(e4,e1),e1),e4) ),[0,0],$fot(e3)]]) ).
cnf(refute_21_84,plain,
( op(op(e4,e1),e1) != e4
| op(e0,e1) = e3
| op(e3,e1) = e3
| op(e3,e1) = e4 ),
inference(resolve,[$cnf( $equal(op(e4,e1),e3) )],[refute_21_82,refute_21_83]) ).
cnf(refute_21_85,plain,
( op(e0,e1) = e3
| op(e3,e1) = e3
| op(e3,e1) = e4 ),
inference(resolve,[$cnf( $equal(op(op(e4,e1),e1),e4) )],[refute_21_69,refute_21_84]) ).
cnf(refute_21_86,plain,
op(e1,e1) != op(e3,e1),
inference(canonicalize,[],[normalize_21_20]) ).
cnf(refute_21_87,plain,
( e4 != op(e3,e1)
| op(e1,e1) != e4
| op(e1,e1) = op(e3,e1) ),
introduced(tautology,[equality,[$cnf( $equal(op(e1,e1),e4) ),[1],$fot(op(e3,e1))]]) ).
cnf(refute_21_88,plain,
( e4 != op(e3,e1)
| op(e1,e1) = op(e3,e1) ),
inference(resolve,[$cnf( $equal(op(e1,e1),e4) )],[refute_21_6,refute_21_87]) ).
cnf(refute_21_89,plain,
e4 != op(e3,e1),
inference(resolve,[$cnf( $equal(op(e1,e1),op(e3,e1)) )],[refute_21_88,refute_21_86]) ).
cnf(refute_21_90,plain,
( op(e3,e1) != e4
| e4 = op(e3,e1) ),
inference(subst,[],[refute_21_4:[bind(X,$fot(op(e3,e1))),bind(Y,$fot(e4))]]) ).
cnf(refute_21_91,plain,
op(e3,e1) != e4,
inference(resolve,[$cnf( $equal(e4,op(e3,e1)) )],[refute_21_90,refute_21_89]) ).
cnf(refute_21_92,plain,
( op(e0,e1) = e3
| op(e3,e1) = e3 ),
inference(resolve,[$cnf( $equal(op(e3,e1),e4) )],[refute_21_85,refute_21_91]) ).
cnf(refute_21_93,plain,
( op(e3,e0) != e3
| op(e3,e1) != e3
| op(e3,e0) = op(e3,e1) ),
introduced(tautology,[equality,[$cnf( ~ $equal(op(e3,e0),op(e3,e1)) ),[1],$fot(e3)]]) ).
cnf(refute_21_94,plain,
( op(e3,e0) != e3
| op(e0,e1) = e3
| op(e3,e0) = op(e3,e1) ),
inference(resolve,[$cnf( $equal(op(e3,e1),e3) )],[refute_21_92,refute_21_93]) ).
cnf(refute_21_95,plain,
( op(e3,e0) != e3
| op(e0,e1) = e3 ),
inference(resolve,[$cnf( $equal(op(e3,e0),op(e3,e1)) )],[refute_21_94,refute_21_68]) ).
cnf(refute_21_96,plain,
op(e4,unit) = e4,
inference(canonicalize,[],[normalize_21_21]) ).
cnf(refute_21_97,plain,
( unit = e0
| unit = e1
| unit = e2
| unit = e3
| unit = e4 ),
inference(canonicalize,[],[normalize_21_22]) ).
cnf(refute_21_98,plain,
( op(e4,unit) != e4
| unit != e1
| op(e4,e1) = e4 ),
introduced(tautology,[equality,[$cnf( $equal(op(e4,unit),e4) ),[0,1],$fot(e1)]]) ).
cnf(refute_21_99,plain,
( op(e4,unit) != e4
| op(e4,e1) = e4
| unit = e0
| unit = e2
| unit = e3
| unit = e4 ),
inference(resolve,[$cnf( $equal(unit,e1) )],[refute_21_97,refute_21_98]) ).
cnf(refute_21_100,plain,
( op(e4,e1) = e4
| unit = e0
| unit = e2
| unit = e3
| unit = e4 ),
inference(resolve,[$cnf( $equal(op(e4,unit),e4) )],[refute_21_96,refute_21_99]) ).
cnf(refute_21_101,plain,
op(e1,e1) != op(e4,e1),
inference(canonicalize,[],[normalize_21_23]) ).
cnf(refute_21_102,plain,
( e4 != op(e4,e1)
| op(e1,e1) != e4
| op(e1,e1) = op(e4,e1) ),
introduced(tautology,[equality,[$cnf( $equal(op(e1,e1),e4) ),[1],$fot(op(e4,e1))]]) ).
cnf(refute_21_103,plain,
( e4 != op(e4,e1)
| op(e1,e1) = op(e4,e1) ),
inference(resolve,[$cnf( $equal(op(e1,e1),e4) )],[refute_21_6,refute_21_102]) ).
cnf(refute_21_104,plain,
e4 != op(e4,e1),
inference(resolve,[$cnf( $equal(op(e1,e1),op(e4,e1)) )],[refute_21_103,refute_21_101]) ).
cnf(refute_21_105,plain,
( op(e4,e1) != e4
| e4 = op(e4,e1) ),
inference(subst,[],[refute_21_4:[bind(X,$fot(op(e4,e1))),bind(Y,$fot(e4))]]) ).
cnf(refute_21_106,plain,
op(e4,e1) != e4,
inference(resolve,[$cnf( $equal(e4,op(e4,e1)) )],[refute_21_105,refute_21_104]) ).
cnf(refute_21_107,plain,
( unit = e0
| unit = e2
| unit = e3
| unit = e4 ),
inference(resolve,[$cnf( $equal(op(e4,e1),e4) )],[refute_21_100,refute_21_106]) ).
cnf(refute_21_108,plain,
( op(e3,unit) != e3
| unit != e2
| op(e3,e2) = e3 ),
introduced(tautology,[equality,[$cnf( $equal(op(e3,unit),e3) ),[0,1],$fot(e2)]]) ).
cnf(refute_21_109,plain,
( op(e3,unit) != e3
| op(e3,e2) = e3
| unit = e0
| unit = e3
| unit = e4 ),
inference(resolve,[$cnf( $equal(unit,e2) )],[refute_21_107,refute_21_108]) ).
cnf(refute_21_110,plain,
( op(e3,e2) = e3
| unit = e0
| unit = e3
| unit = e4 ),
inference(resolve,[$cnf( $equal(op(e3,unit),e3) )],[refute_21_66,refute_21_109]) ).
cnf(refute_21_111,plain,
op(e2,e2) != op(e3,e2),
inference(canonicalize,[],[normalize_21_24]) ).
cnf(refute_21_112,plain,
( e3 != op(e3,e2)
| op(e2,e2) != e3
| op(e2,e2) = op(e3,e2) ),
introduced(tautology,[equality,[$cnf( $equal(op(e2,e2),e3) ),[1],$fot(op(e3,e2))]]) ).
cnf(refute_21_113,plain,
( e3 != op(e3,e2)
| op(e2,e2) = op(e3,e2) ),
inference(resolve,[$cnf( $equal(op(e2,e2),e3) )],[refute_21_31,refute_21_112]) ).
cnf(refute_21_114,plain,
e3 != op(e3,e2),
inference(resolve,[$cnf( $equal(op(e2,e2),op(e3,e2)) )],[refute_21_113,refute_21_111]) ).
cnf(refute_21_115,plain,
( op(e3,e2) != e3
| e3 = op(e3,e2) ),
inference(subst,[],[refute_21_4:[bind(X,$fot(op(e3,e2))),bind(Y,$fot(e3))]]) ).
cnf(refute_21_116,plain,
op(e3,e2) != e3,
inference(resolve,[$cnf( $equal(e3,op(e3,e2)) )],[refute_21_115,refute_21_114]) ).
cnf(refute_21_117,plain,
( unit = e0
| unit = e3
| unit = e4 ),
inference(resolve,[$cnf( $equal(op(e3,e2),e3) )],[refute_21_110,refute_21_116]) ).
cnf(refute_21_118,plain,
( op(e4,unit) != e4
| unit != e4
| op(e4,e4) = e4 ),
introduced(tautology,[equality,[$cnf( $equal(op(e4,unit),e4) ),[0,1],$fot(e4)]]) ).
cnf(refute_21_119,plain,
( op(e4,unit) != e4
| op(e4,e4) = e4
| unit = e0
| unit = e3 ),
inference(resolve,[$cnf( $equal(unit,e4) )],[refute_21_117,refute_21_118]) ).
cnf(refute_21_120,plain,
( op(e4,e4) = e4
| unit = e0
| unit = e3 ),
inference(resolve,[$cnf( $equal(op(e4,unit),e4) )],[refute_21_96,refute_21_119]) ).
cnf(refute_21_121,plain,
( op(e4,e4) != e2
| op(e4,e4) != e4
| e2 = e4 ),
introduced(tautology,[equality,[$cnf( $equal(op(e4,e4),e4) ),[0],$fot(e2)]]) ).
cnf(refute_21_122,plain,
( op(e4,e4) != e4
| e2 = e4 ),
inference(resolve,[$cnf( $equal(op(e4,e4),e2) )],[refute_21_50,refute_21_121]) ).
cnf(refute_21_123,plain,
( e2 = e4
| unit = e0
| unit = e3 ),
inference(resolve,[$cnf( $equal(op(e4,e4),e4) )],[refute_21_120,refute_21_122]) ).
cnf(refute_21_124,plain,
e2 != e4,
inference(canonicalize,[],[normalize_21_25]) ).
cnf(refute_21_125,plain,
( unit = e0
| unit = e3 ),
inference(resolve,[$cnf( $equal(e2,e4) )],[refute_21_123,refute_21_124]) ).
cnf(refute_21_126,plain,
( op(e3,unit) != e3
| unit != e0
| op(e3,e0) = e3 ),
introduced(tautology,[equality,[$cnf( $equal(op(e3,unit),e3) ),[0,1],$fot(e0)]]) ).
cnf(refute_21_127,plain,
( op(e3,unit) != e3
| op(e3,e0) = e3
| unit = e3 ),
inference(resolve,[$cnf( $equal(unit,e0) )],[refute_21_125,refute_21_126]) ).
cnf(refute_21_128,plain,
( op(e3,e0) = e3
| unit = e3 ),
inference(resolve,[$cnf( $equal(op(e3,unit),e3) )],[refute_21_66,refute_21_127]) ).
cnf(refute_21_129,plain,
( e3 != e3
| op(e3,e0) != e3
| op(e3,e0) = e3 ),
introduced(tautology,[equality,[$cnf( $equal(op(e3,e0),e3) ),[0,0],$fot(e3)]]) ).
cnf(refute_21_130,plain,
( e3 != e3
| op(e3,e0) = e3
| unit = e3 ),
inference(resolve,[$cnf( $equal(op(e3,e0),e3) )],[refute_21_128,refute_21_129]) ).
cnf(refute_21_131,plain,
( e3 != e3
| op(e0,e1) = e3
| unit = e3 ),
inference(resolve,[$cnf( $equal(op(e3,e0),e3) )],[refute_21_130,refute_21_95]) ).
cnf(refute_21_132,plain,
e3 = e3,
introduced(tautology,[refl,[$fot(e3)]]) ).
cnf(refute_21_133,plain,
( op(e0,e1) = e3
| unit = e3 ),
inference(resolve,[$cnf( $equal(e3,e3) )],[refute_21_132,refute_21_131]) ).
cnf(refute_21_134,plain,
( e3 != op(e0,e3)
| op(e0,e1) != e3
| op(e0,e1) = op(e0,e3) ),
introduced(tautology,[equality,[$cnf( $equal(op(e0,e1),e3) ),[1],$fot(op(e0,e3))]]) ).
cnf(refute_21_135,plain,
( e3 != op(e0,e3)
| op(e0,e1) = op(e0,e3)
| unit = e3 ),
inference(resolve,[$cnf( $equal(op(e0,e1),e3) )],[refute_21_133,refute_21_134]) ).
cnf(refute_21_136,plain,
( e3 != op(e0,e3)
| unit = e3 ),
inference(resolve,[$cnf( $equal(op(e0,e1),op(e0,e3)) )],[refute_21_135,refute_21_67]) ).
cnf(refute_21_137,plain,
op(unit,e3) = e3,
inference(canonicalize,[],[normalize_21_26]) ).
cnf(refute_21_138,plain,
( op(unit,e3) != e3
| unit != e0
| op(e0,e3) = e3 ),
introduced(tautology,[equality,[$cnf( $equal(op(unit,e3),e3) ),[0,0],$fot(e0)]]) ).
cnf(refute_21_139,plain,
( op(unit,e3) != e3
| op(e0,e3) = e3
| unit = e3 ),
inference(resolve,[$cnf( $equal(unit,e0) )],[refute_21_125,refute_21_138]) ).
cnf(refute_21_140,plain,
( op(e0,e3) = e3
| unit = e3 ),
inference(resolve,[$cnf( $equal(op(unit,e3),e3) )],[refute_21_137,refute_21_139]) ).
cnf(refute_21_141,plain,
( e3 != e3
| op(e0,e3) != e3
| e3 = op(e0,e3) ),
introduced(tautology,[equality,[$cnf( ~ $equal(e3,op(e0,e3)) ),[1],$fot(e3)]]) ).
cnf(refute_21_142,plain,
( e3 != e3
| e3 = op(e0,e3)
| unit = e3 ),
inference(resolve,[$cnf( $equal(op(e0,e3),e3) )],[refute_21_140,refute_21_141]) ).
cnf(refute_21_143,plain,
( e3 != e3
| unit = e3 ),
inference(resolve,[$cnf( $equal(e3,op(e0,e3)) )],[refute_21_142,refute_21_136]) ).
cnf(refute_21_144,plain,
unit = e3,
inference(resolve,[$cnf( $equal(e3,e3) )],[refute_21_132,refute_21_143]) ).
cnf(refute_21_145,plain,
op(e3,unit) = op(e3,unit),
introduced(tautology,[refl,[$fot(op(e3,unit))]]) ).
cnf(refute_21_146,plain,
( op(e3,unit) != op(e3,unit)
| unit != e3
| op(e3,unit) = op(e3,e3) ),
introduced(tautology,[equality,[$cnf( $equal(op(e3,unit),op(e3,unit)) ),[1,1],$fot(e3)]]) ).
cnf(refute_21_147,plain,
( unit != e3
| op(e3,unit) = op(e3,e3) ),
inference(resolve,[$cnf( $equal(op(e3,unit),op(e3,unit)) )],[refute_21_145,refute_21_146]) ).
cnf(refute_21_148,plain,
op(e3,unit) = op(e3,e3),
inference(resolve,[$cnf( $equal(unit,e3) )],[refute_21_144,refute_21_147]) ).
cnf(refute_21_149,plain,
( op(e3,unit) != e3
| op(e3,unit) != op(e3,e3)
| op(e3,e3) = e3 ),
introduced(tautology,[equality,[$cnf( $equal(op(e3,unit),e3) ),[0],$fot(op(e3,e3))]]) ).
cnf(refute_21_150,plain,
( op(e3,unit) != e3
| op(e3,e3) = e3 ),
inference(resolve,[$cnf( $equal(op(e3,unit),op(e3,e3)) )],[refute_21_148,refute_21_149]) ).
cnf(refute_21_151,plain,
op(e3,e3) = e3,
inference(resolve,[$cnf( $equal(op(e3,unit),e3) )],[refute_21_66,refute_21_150]) ).
cnf(refute_21_152,plain,
( op(e3,e3) != e0
| op(e3,e3) != e3
| e3 = e0 ),
introduced(tautology,[equality,[$cnf( $equal(op(e3,e3),e0) ),[0],$fot(e3)]]) ).
cnf(refute_21_153,plain,
( op(e3,e3) != e0
| e3 = e0 ),
inference(resolve,[$cnf( $equal(op(e3,e3),e3) )],[refute_21_151,refute_21_152]) ).
cnf(refute_21_154,plain,
( e3 = e0
| op(e0,e0) = e0 ),
inference(resolve,[$cnf( $equal(op(e3,e3),e0) )],[refute_21_65,refute_21_153]) ).
cnf(refute_21_155,plain,
op(e0,e0) = e0,
inference(resolve,[$cnf( $equal(e3,e0) )],[refute_21_154,refute_21_60]) ).
cnf(refute_21_156,plain,
op(e0,e0) != op(e0,e3),
inference(canonicalize,[],[normalize_21_27]) ).
cnf(refute_21_157,plain,
op(e0,unit) = e0,
inference(canonicalize,[],[normalize_21_28]) ).
cnf(refute_21_158,plain,
op(e0,unit) = op(e0,unit),
introduced(tautology,[refl,[$fot(op(e0,unit))]]) ).
cnf(refute_21_159,plain,
( op(e0,unit) != op(e0,unit)
| unit != e3
| op(e0,unit) = op(e0,e3) ),
introduced(tautology,[equality,[$cnf( $equal(op(e0,unit),op(e0,unit)) ),[1,1],$fot(e3)]]) ).
cnf(refute_21_160,plain,
( unit != e3
| op(e0,unit) = op(e0,e3) ),
inference(resolve,[$cnf( $equal(op(e0,unit),op(e0,unit)) )],[refute_21_158,refute_21_159]) ).
cnf(refute_21_161,plain,
op(e0,unit) = op(e0,e3),
inference(resolve,[$cnf( $equal(unit,e3) )],[refute_21_144,refute_21_160]) ).
cnf(refute_21_162,plain,
( op(e0,unit) != e0
| op(e0,unit) != op(e0,e3)
| op(e0,e3) = e0 ),
introduced(tautology,[equality,[$cnf( $equal(op(e0,unit),e0) ),[0],$fot(op(e0,e3))]]) ).
cnf(refute_21_163,plain,
( op(e0,unit) != e0
| op(e0,e3) = e0 ),
inference(resolve,[$cnf( $equal(op(e0,unit),op(e0,e3)) )],[refute_21_161,refute_21_162]) ).
cnf(refute_21_164,plain,
op(e0,e3) = e0,
inference(resolve,[$cnf( $equal(op(e0,unit),e0) )],[refute_21_157,refute_21_163]) ).
cnf(refute_21_165,plain,
( op(e0,e0) != e0
| op(e0,e3) != e0
| op(e0,e0) = op(e0,e3) ),
introduced(tautology,[equality,[$cnf( ~ $equal(op(e0,e0),op(e0,e3)) ),[1],$fot(e0)]]) ).
cnf(refute_21_166,plain,
( op(e0,e0) != e0
| op(e0,e0) = op(e0,e3) ),
inference(resolve,[$cnf( $equal(op(e0,e3),e0) )],[refute_21_164,refute_21_165]) ).
cnf(refute_21_167,plain,
op(e0,e0) != e0,
inference(resolve,[$cnf( $equal(op(e0,e0),op(e0,e3)) )],[refute_21_166,refute_21_156]) ).
cnf(refute_21_168,plain,
$false,
inference(resolve,[$cnf( $equal(op(e0,e0),e0) )],[refute_21_155,refute_21_167]) ).
fof(negate_22_0,plain,
~ ( ( ( op(e0,e0) = e0
| op(e1,e1) = e0
| op(e2,e2) = e0
| op(e3,e3) = e0
| op(e4,e4) = e0 )
& ( op(e0,e0) = e1
| op(e1,e1) = e1
| op(e2,e2) = e1
| op(e3,e3) = e1
| op(e4,e4) = e1 )
& ( op(e0,e0) = e2
| op(e1,e1) = e2
| op(e2,e2) = e2
| op(e3,e3) = e2
| op(e4,e4) = e2 )
& ( op(e0,e0) = e3
| op(e1,e1) = e3
| op(e2,e2) = e3
| op(e3,e3) = e3
| op(e4,e4) = e3 )
& ( op(e0,e0) = e4
| op(e1,e1) = e4
| op(e2,e2) = e4
| op(e3,e3) = e4
| op(e4,e4) = e4 )
& ~ ( op(e0,e0) != op(e0,e0)
& op(op(e0,e0),e0) = e0
& op(op(e0,e0),e0) != e0 )
& ~ ( op(e1,e0) != op(e0,e1)
& op(op(e0,e1),e1) = e0
& op(op(e0,e1),e0) != e1 )
& ~ ( op(e2,e0) != op(e0,e2)
& op(op(e0,e2),e2) = e0
& op(op(e0,e2),e0) != e2 )
& ~ ( op(e3,e0) != op(e0,e3)
& op(op(e0,e3),e3) = e0
& op(op(e0,e3),e0) != e3 )
& ~ ( op(e4,e0) != op(e0,e4)
& op(op(e0,e4),e4) = e0
& op(op(e0,e4),e0) != e4 )
& ~ ( op(e0,e1) != op(e1,e0)
& op(op(e1,e0),e0) = e1
& op(op(e1,e0),e1) != e0 )
& ~ ( op(e1,e1) != op(e1,e1)
& op(op(e1,e1),e1) = e1
& op(op(e1,e1),e1) != e1 )
& ~ ( op(e2,e1) != op(e1,e2)
& op(op(e1,e2),e2) = e1
& op(op(e1,e2),e1) != e2 )
& ~ ( op(e3,e1) != op(e1,e3)
& op(op(e1,e3),e3) = e1
& op(op(e1,e3),e1) != e3 )
& ~ ( op(e4,e1) != op(e1,e4)
& op(op(e1,e4),e4) = e1
& op(op(e1,e4),e1) != e4 )
& ~ ( op(e0,e2) != op(e2,e0)
& op(op(e2,e0),e0) = e2
& op(op(e2,e0),e2) != e0 )
& ~ ( op(e1,e2) != op(e2,e1)
& op(op(e2,e1),e1) = e2
& op(op(e2,e1),e2) != e1 )
& ~ ( op(e2,e2) != op(e2,e2)
& op(op(e2,e2),e2) = e2
& op(op(e2,e2),e2) != e2 )
& ~ ( op(e3,e2) != op(e2,e3)
& op(op(e2,e3),e3) = e2
& op(op(e2,e3),e2) != e3 )
& ~ ( op(e4,e2) != op(e2,e4)
& op(op(e2,e4),e4) = e2
& op(op(e2,e4),e2) != e4 )
& ~ ( op(e0,e3) != op(e3,e0)
& op(op(e3,e0),e0) = e3
& op(op(e3,e0),e3) != e0 )
& ~ ( op(e1,e3) != op(e3,e1)
& op(op(e3,e1),e1) = e3
& op(op(e3,e1),e3) != e1 )
& ~ ( op(e2,e3) != op(e3,e2)
& op(op(e3,e2),e2) = e3
& op(op(e3,e2),e3) != e2 )
& ~ ( op(e3,e3) != op(e3,e3)
& op(op(e3,e3),e3) = e3
& op(op(e3,e3),e3) != e3 )
& ~ ( op(e4,e3) != op(e3,e4)
& op(op(e3,e4),e4) = e3
& op(op(e3,e4),e3) != e4 )
& ~ ( op(e0,e4) != op(e4,e0)
& op(op(e4,e0),e0) = e4
& op(op(e4,e0),e4) != e0 )
& ~ ( op(e1,e4) != op(e4,e1)
& op(op(e4,e1),e1) = e4
& op(op(e4,e1),e4) != e1 )
& op(e2,e4) != op(e4,e2)
& op(op(e4,e2),e2) = e4 )
=> op(op(e4,e2),e4) = e2 ),
inference(negate,[],[subgoal_22]) ).
fof(normalize_22_0,plain,
( ( op(e0,e0) = e0
| op(e0,e1) = e0
| op(e0,e2) = e0
| op(e0,e3) = e0
| op(e0,e4) = e0 )
& ( op(e0,e0) = e0
| op(e1,e0) = e0
| op(e2,e0) = e0
| op(e3,e0) = e0
| op(e4,e0) = e0 )
& ( op(e0,e0) = e1
| op(e0,e1) = e1
| op(e0,e2) = e1
| op(e0,e3) = e1
| op(e0,e4) = e1 )
& ( op(e0,e0) = e1
| op(e1,e0) = e1
| op(e2,e0) = e1
| op(e3,e0) = e1
| op(e4,e0) = e1 )
& ( op(e0,e0) = e2
| op(e0,e1) = e2
| op(e0,e2) = e2
| op(e0,e3) = e2
| op(e0,e4) = e2 )
& ( op(e0,e0) = e2
| op(e1,e0) = e2
| op(e2,e0) = e2
| op(e3,e0) = e2
| op(e4,e0) = e2 )
& ( op(e0,e0) = e3
| op(e0,e1) = e3
| op(e0,e2) = e3
| op(e0,e3) = e3
| op(e0,e4) = e3 )
& ( op(e0,e0) = e3
| op(e1,e0) = e3
| op(e2,e0) = e3
| op(e3,e0) = e3
| op(e4,e0) = e3 )
& ( op(e0,e0) = e4
| op(e0,e1) = e4
| op(e0,e2) = e4
| op(e0,e3) = e4
| op(e0,e4) = e4 )
& ( op(e0,e0) = e4
| op(e1,e0) = e4
| op(e2,e0) = e4
| op(e3,e0) = e4
| op(e4,e0) = e4 )
& ( op(e0,e1) = e0
| op(e1,e1) = e0
| op(e2,e1) = e0
| op(e3,e1) = e0
| op(e4,e1) = e0 )
& ( op(e0,e1) = e1
| op(e1,e1) = e1
| op(e2,e1) = e1
| op(e3,e1) = e1
| op(e4,e1) = e1 )
& ( op(e0,e1) = e2
| op(e1,e1) = e2
| op(e2,e1) = e2
| op(e3,e1) = e2
| op(e4,e1) = e2 )
& ( op(e0,e1) = e3
| op(e1,e1) = e3
| op(e2,e1) = e3
| op(e3,e1) = e3
| op(e4,e1) = e3 )
& ( op(e0,e1) = e4
| op(e1,e1) = e4
| op(e2,e1) = e4
| op(e3,e1) = e4
| op(e4,e1) = e4 )
& ( op(e0,e2) = e0
| op(e1,e2) = e0
| op(e2,e2) = e0
| op(e3,e2) = e0
| op(e4,e2) = e0 )
& ( op(e0,e2) = e1
| op(e1,e2) = e1
| op(e2,e2) = e1
| op(e3,e2) = e1
| op(e4,e2) = e1 )
& ( op(e0,e2) = e2
| op(e1,e2) = e2
| op(e2,e2) = e2
| op(e3,e2) = e2
| op(e4,e2) = e2 )
& ( op(e0,e2) = e3
| op(e1,e2) = e3
| op(e2,e2) = e3
| op(e3,e2) = e3
| op(e4,e2) = e3 )
& ( op(e0,e2) = e4
| op(e1,e2) = e4
| op(e2,e2) = e4
| op(e3,e2) = e4
| op(e4,e2) = e4 )
& ( op(e0,e3) = e0
| op(e1,e3) = e0
| op(e2,e3) = e0
| op(e3,e3) = e0
| op(e4,e3) = e0 )
& ( op(e0,e3) = e1
| op(e1,e3) = e1
| op(e2,e3) = e1
| op(e3,e3) = e1
| op(e4,e3) = e1 )
& ( op(e0,e3) = e2
| op(e1,e3) = e2
| op(e2,e3) = e2
| op(e3,e3) = e2
| op(e4,e3) = e2 )
& ( op(e0,e3) = e3
| op(e1,e3) = e3
| op(e2,e3) = e3
| op(e3,e3) = e3
| op(e4,e3) = e3 )
& ( op(e0,e3) = e4
| op(e1,e3) = e4
| op(e2,e3) = e4
| op(e3,e3) = e4
| op(e4,e3) = e4 )
& ( op(e0,e4) = e0
| op(e1,e4) = e0
| op(e2,e4) = e0
| op(e3,e4) = e0
| op(e4,e4) = e0 )
& ( op(e0,e4) = e1
| op(e1,e4) = e1
| op(e2,e4) = e1
| op(e3,e4) = e1
| op(e4,e4) = e1 )
& ( op(e0,e4) = e2
| op(e1,e4) = e2
| op(e2,e4) = e2
| op(e3,e4) = e2
| op(e4,e4) = e2 )
& ( op(e0,e4) = e3
| op(e1,e4) = e3
| op(e2,e4) = e3
| op(e3,e4) = e3
| op(e4,e4) = e3 )
& ( op(e0,e4) = e4
| op(e1,e4) = e4
| op(e2,e4) = e4
| op(e3,e4) = e4
| op(e4,e4) = e4 )
& ( op(e1,e0) = e0
| op(e1,e1) = e0
| op(e1,e2) = e0
| op(e1,e3) = e0
| op(e1,e4) = e0 )
& ( op(e1,e0) = e1
| op(e1,e1) = e1
| op(e1,e2) = e1
| op(e1,e3) = e1
| op(e1,e4) = e1 )
& ( op(e1,e0) = e2
| op(e1,e1) = e2
| op(e1,e2) = e2
| op(e1,e3) = e2
| op(e1,e4) = e2 )
& ( op(e1,e0) = e3
| op(e1,e1) = e3
| op(e1,e2) = e3
| op(e1,e3) = e3
| op(e1,e4) = e3 )
& ( op(e1,e0) = e4
| op(e1,e1) = e4
| op(e1,e2) = e4
| op(e1,e3) = e4
| op(e1,e4) = e4 )
& ( op(e2,e0) = e0
| op(e2,e1) = e0
| op(e2,e2) = e0
| op(e2,e3) = e0
| op(e2,e4) = e0 )
& ( op(e2,e0) = e1
| op(e2,e1) = e1
| op(e2,e2) = e1
| op(e2,e3) = e1
| op(e2,e4) = e1 )
& ( op(e2,e0) = e2
| op(e2,e1) = e2
| op(e2,e2) = e2
| op(e2,e3) = e2
| op(e2,e4) = e2 )
& ( op(e2,e0) = e3
| op(e2,e1) = e3
| op(e2,e2) = e3
| op(e2,e3) = e3
| op(e2,e4) = e3 )
& ( op(e2,e0) = e4
| op(e2,e1) = e4
| op(e2,e2) = e4
| op(e2,e3) = e4
| op(e2,e4) = e4 )
& ( op(e3,e0) = e0
| op(e3,e1) = e0
| op(e3,e2) = e0
| op(e3,e3) = e0
| op(e3,e4) = e0 )
& ( op(e3,e0) = e1
| op(e3,e1) = e1
| op(e3,e2) = e1
| op(e3,e3) = e1
| op(e3,e4) = e1 )
& ( op(e3,e0) = e2
| op(e3,e1) = e2
| op(e3,e2) = e2
| op(e3,e3) = e2
| op(e3,e4) = e2 )
& ( op(e3,e0) = e3
| op(e3,e1) = e3
| op(e3,e2) = e3
| op(e3,e3) = e3
| op(e3,e4) = e3 )
& ( op(e3,e0) = e4
| op(e3,e1) = e4
| op(e3,e2) = e4
| op(e3,e3) = e4
| op(e3,e4) = e4 )
& ( op(e4,e0) = e0
| op(e4,e1) = e0
| op(e4,e2) = e0
| op(e4,e3) = e0
| op(e4,e4) = e0 )
& ( op(e4,e0) = e1
| op(e4,e1) = e1
| op(e4,e2) = e1
| op(e4,e3) = e1
| op(e4,e4) = e1 )
& ( op(e4,e0) = e2
| op(e4,e1) = e2
| op(e4,e2) = e2
| op(e4,e3) = e2
| op(e4,e4) = e2 )
& ( op(e4,e0) = e3
| op(e4,e1) = e3
| op(e4,e2) = e3
| op(e4,e3) = e3
| op(e4,e4) = e3 )
& ( op(e4,e0) = e4
| op(e4,e1) = e4
| op(e4,e2) = e4
| op(e4,e3) = e4
| op(e4,e4) = e4 ) ),
inference(canonicalize,[],[ax3]) ).
fof(normalize_22_1,plain,
( op(e0,e1) = e2
| op(e1,e1) = e2
| op(e2,e1) = e2
| op(e3,e1) = e2
| op(e4,e1) = e2 ),
inference(conjunct,[],[normalize_22_0]) ).
fof(normalize_22_2,plain,
( e0 = op(e1,op(op(e1,e1),op(e1,e1)))
& e2 = op(op(e1,e1),op(e1,e1))
& e3 = op(op(op(e1,e1),op(e1,e1)),op(op(e1,e1),op(e1,e1)))
& e4 = op(e1,e1) ),
inference(canonicalize,[],[ax6]) ).
fof(normalize_22_3,plain,
e4 = op(e1,e1),
inference(conjunct,[],[normalize_22_2]) ).
fof(normalize_22_4,plain,
( e0 != e1
& e0 != e2
& e0 != e3
& e0 != e4
& e1 != e2
& e1 != e3
& e1 != e4
& e2 != e3
& e2 != e4
& e3 != e4 ),
inference(canonicalize,[],[ax5]) ).
fof(normalize_22_5,plain,
e2 != e4,
inference(conjunct,[],[normalize_22_4]) ).
fof(normalize_22_6,plain,
( op(e0,unit) = e0
& op(e1,unit) = e1
& op(e2,unit) = e2
& op(e3,unit) = e3
& op(e4,unit) = e4
& op(unit,e0) = e0
& op(unit,e1) = e1
& op(unit,e2) = e2
& op(unit,e3) = e3
& op(unit,e4) = e4
& ( unit = e0
| unit = e1
| unit = e2
| unit = e3
| unit = e4 ) ),
inference(canonicalize,[],[ax2]) ).
fof(normalize_22_7,plain,
op(unit,e1) = e1,
inference(conjunct,[],[normalize_22_6]) ).
fof(normalize_22_8,plain,
( op(e0,e0) != op(e0,e1)
& op(e0,e0) != op(e0,e2)
& op(e0,e0) != op(e0,e3)
& op(e0,e0) != op(e0,e4)
& op(e0,e0) != op(e1,e0)
& op(e0,e0) != op(e2,e0)
& op(e0,e0) != op(e3,e0)
& op(e0,e0) != op(e4,e0)
& op(e0,e1) != op(e0,e2)
& op(e0,e1) != op(e0,e3)
& op(e0,e1) != op(e0,e4)
& op(e0,e1) != op(e1,e1)
& op(e0,e1) != op(e2,e1)
& op(e0,e1) != op(e3,e1)
& op(e0,e1) != op(e4,e1)
& op(e0,e2) != op(e0,e3)
& op(e0,e2) != op(e0,e4)
& op(e0,e2) != op(e1,e2)
& op(e0,e2) != op(e2,e2)
& op(e0,e2) != op(e3,e2)
& op(e0,e2) != op(e4,e2)
& op(e0,e3) != op(e0,e4)
& op(e0,e3) != op(e1,e3)
& op(e0,e3) != op(e2,e3)
& op(e0,e3) != op(e3,e3)
& op(e0,e3) != op(e4,e3)
& op(e0,e4) != op(e1,e4)
& op(e0,e4) != op(e2,e4)
& op(e0,e4) != op(e3,e4)
& op(e0,e4) != op(e4,e4)
& op(e1,e0) != op(e1,e1)
& op(e1,e0) != op(e1,e2)
& op(e1,e0) != op(e1,e3)
& op(e1,e0) != op(e1,e4)
& op(e1,e0) != op(e2,e0)
& op(e1,e0) != op(e3,e0)
& op(e1,e0) != op(e4,e0)
& op(e1,e1) != op(e1,e2)
& op(e1,e1) != op(e1,e3)
& op(e1,e1) != op(e1,e4)
& op(e1,e1) != op(e2,e1)
& op(e1,e1) != op(e3,e1)
& op(e1,e1) != op(e4,e1)
& op(e1,e2) != op(e1,e3)
& op(e1,e2) != op(e1,e4)
& op(e1,e2) != op(e2,e2)
& op(e1,e2) != op(e3,e2)
& op(e1,e2) != op(e4,e2)
& op(e1,e3) != op(e1,e4)
& op(e1,e3) != op(e2,e3)
& op(e1,e3) != op(e3,e3)
& op(e1,e3) != op(e4,e3)
& op(e1,e4) != op(e2,e4)
& op(e1,e4) != op(e3,e4)
& op(e1,e4) != op(e4,e4)
& op(e2,e0) != op(e2,e1)
& op(e2,e0) != op(e2,e2)
& op(e2,e0) != op(e2,e3)
& op(e2,e0) != op(e2,e4)
& op(e2,e0) != op(e3,e0)
& op(e2,e0) != op(e4,e0)
& op(e2,e1) != op(e2,e2)
& op(e2,e1) != op(e2,e3)
& op(e2,e1) != op(e2,e4)
& op(e2,e1) != op(e3,e1)
& op(e2,e1) != op(e4,e1)
& op(e2,e2) != op(e2,e3)
& op(e2,e2) != op(e2,e4)
& op(e2,e2) != op(e3,e2)
& op(e2,e2) != op(e4,e2)
& op(e2,e3) != op(e2,e4)
& op(e2,e3) != op(e3,e3)
& op(e2,e3) != op(e4,e3)
& op(e2,e4) != op(e3,e4)
& op(e2,e4) != op(e4,e4)
& op(e3,e0) != op(e3,e1)
& op(e3,e0) != op(e3,e2)
& op(e3,e0) != op(e3,e3)
& op(e3,e0) != op(e3,e4)
& op(e3,e0) != op(e4,e0)
& op(e3,e1) != op(e3,e2)
& op(e3,e1) != op(e3,e3)
& op(e3,e1) != op(e3,e4)
& op(e3,e1) != op(e4,e1)
& op(e3,e2) != op(e3,e3)
& op(e3,e2) != op(e3,e4)
& op(e3,e2) != op(e4,e2)
& op(e3,e3) != op(e3,e4)
& op(e3,e3) != op(e4,e3)
& op(e3,e4) != op(e4,e4)
& op(e4,e0) != op(e4,e1)
& op(e4,e0) != op(e4,e2)
& op(e4,e0) != op(e4,e3)
& op(e4,e0) != op(e4,e4)
& op(e4,e1) != op(e4,e2)
& op(e4,e1) != op(e4,e3)
& op(e4,e1) != op(e4,e4)
& op(e4,e2) != op(e4,e3)
& op(e4,e2) != op(e4,e4)
& op(e4,e3) != op(e4,e4) ),
inference(canonicalize,[],[ax4]) ).
fof(normalize_22_9,plain,
op(e3,e0) != op(e3,e3),
inference(conjunct,[],[normalize_22_8]) ).
fof(normalize_22_10,plain,
( op(e2,e4) != op(e4,e2)
& op(op(e4,e2),e4) != e2
& op(op(e4,e2),e2) = e4
& ( op(op(e0,e1),e1) != e0
| op(e1,e0) = op(e0,e1)
| op(op(e0,e1),e0) = e1 )
& ( op(op(e0,e2),e2) != e0
| op(e2,e0) = op(e0,e2)
| op(op(e0,e2),e0) = e2 )
& ( op(op(e0,e3),e3) != e0
| op(e3,e0) = op(e0,e3)
| op(op(e0,e3),e0) = e3 )
& ( op(op(e0,e4),e4) != e0
| op(e4,e0) = op(e0,e4)
| op(op(e0,e4),e0) = e4 )
& ( op(op(e1,e0),e0) != e1
| op(e0,e1) = op(e1,e0)
| op(op(e1,e0),e1) = e0 )
& ( op(op(e1,e2),e2) != e1
| op(e2,e1) = op(e1,e2)
| op(op(e1,e2),e1) = e2 )
& ( op(op(e1,e3),e3) != e1
| op(e3,e1) = op(e1,e3)
| op(op(e1,e3),e1) = e3 )
& ( op(op(e1,e4),e4) != e1
| op(e4,e1) = op(e1,e4)
| op(op(e1,e4),e1) = e4 )
& ( op(op(e2,e0),e0) != e2
| op(e0,e2) = op(e2,e0)
| op(op(e2,e0),e2) = e0 )
& ( op(op(e2,e1),e1) != e2
| op(e1,e2) = op(e2,e1)
| op(op(e2,e1),e2) = e1 )
& ( op(op(e2,e3),e3) != e2
| op(e3,e2) = op(e2,e3)
| op(op(e2,e3),e2) = e3 )
& ( op(op(e2,e4),e4) != e2
| op(e4,e2) = op(e2,e4)
| op(op(e2,e4),e2) = e4 )
& ( op(op(e3,e0),e0) != e3
| op(e0,e3) = op(e3,e0)
| op(op(e3,e0),e3) = e0 )
& ( op(op(e3,e1),e1) != e3
| op(e1,e3) = op(e3,e1)
| op(op(e3,e1),e3) = e1 )
& ( op(op(e3,e2),e2) != e3
| op(e2,e3) = op(e3,e2)
| op(op(e3,e2),e3) = e2 )
& ( op(op(e3,e4),e4) != e3
| op(e4,e3) = op(e3,e4)
| op(op(e3,e4),e3) = e4 )
& ( op(op(e4,e0),e0) != e4
| op(e0,e4) = op(e4,e0)
| op(op(e4,e0),e4) = e0 )
& ( op(op(e4,e1),e1) != e4
| op(e1,e4) = op(e4,e1)
| op(op(e4,e1),e4) = e1 )
& ( op(e0,e0) = e0
| op(e1,e1) = e0
| op(e2,e2) = e0
| op(e3,e3) = e0
| op(e4,e4) = e0 )
& ( op(e0,e0) = e1
| op(e1,e1) = e1
| op(e2,e2) = e1
| op(e3,e3) = e1
| op(e4,e4) = e1 )
& ( op(e0,e0) = e2
| op(e1,e1) = e2
| op(e2,e2) = e2
| op(e3,e3) = e2
| op(e4,e4) = e2 )
& ( op(e0,e0) = e3
| op(e1,e1) = e3
| op(e2,e2) = e3
| op(e3,e3) = e3
| op(e4,e4) = e3 )
& ( op(e0,e0) = e4
| op(e1,e1) = e4
| op(e2,e2) = e4
| op(e3,e3) = e4
| op(e4,e4) = e4 ) ),
inference(canonicalize,[],[negate_22_0]) ).
fof(normalize_22_11,plain,
( op(e0,e0) = e0
| op(e1,e1) = e0
| op(e2,e2) = e0
| op(e3,e3) = e0
| op(e4,e4) = e0 ),
inference(conjunct,[],[normalize_22_10]) ).
fof(normalize_22_12,plain,
e3 = op(op(op(e1,e1),op(e1,e1)),op(op(e1,e1),op(e1,e1))),
inference(conjunct,[],[normalize_22_2]) ).
fof(normalize_22_13,plain,
e2 = op(op(e1,e1),op(e1,e1)),
inference(conjunct,[],[normalize_22_2]) ).
fof(normalize_22_14,plain,
e0 != e2,
inference(conjunct,[],[normalize_22_4]) ).
fof(normalize_22_15,plain,
e0 != e3,
inference(conjunct,[],[normalize_22_4]) ).
fof(normalize_22_16,plain,
e0 != e4,
inference(conjunct,[],[normalize_22_4]) ).
fof(normalize_22_17,plain,
op(unit,e0) = e0,
inference(conjunct,[],[normalize_22_6]) ).
fof(normalize_22_18,plain,
op(unit,e2) = e2,
inference(conjunct,[],[normalize_22_6]) ).
fof(normalize_22_19,plain,
( unit = e0
| unit = e1
| unit = e2
| unit = e3
| unit = e4 ),
inference(conjunct,[],[normalize_22_6]) ).
fof(normalize_22_20,plain,
e0 = op(e1,op(op(e1,e1),op(e1,e1))),
inference(conjunct,[],[normalize_22_2]) ).
fof(normalize_22_21,plain,
e2 != e3,
inference(conjunct,[],[normalize_22_4]) ).
fof(normalize_22_22,plain,
op(e4,e2) != op(e4,e4),
inference(conjunct,[],[normalize_22_8]) ).
fof(normalize_22_23,plain,
op(e0,e0) != op(e3,e0),
inference(conjunct,[],[normalize_22_8]) ).
fof(normalize_22_24,plain,
( op(e0,e0) = e1
| op(e1,e1) = e1
| op(e2,e2) = e1
| op(e3,e3) = e1
| op(e4,e4) = e1 ),
inference(conjunct,[],[normalize_22_10]) ).
fof(normalize_22_25,plain,
e1 != e2,
inference(conjunct,[],[normalize_22_4]) ).
fof(normalize_22_26,plain,
e1 != e3,
inference(conjunct,[],[normalize_22_4]) ).
fof(normalize_22_27,plain,
e1 != e4,
inference(conjunct,[],[normalize_22_4]) ).
fof(normalize_22_28,plain,
e0 != e1,
inference(conjunct,[],[normalize_22_4]) ).
fof(normalize_22_29,plain,
op(e0,e1) != op(e2,e1),
inference(conjunct,[],[normalize_22_8]) ).
fof(normalize_22_30,plain,
( ( op(e0,e0) = e0
| op(e0,e0) = e1
| op(e0,e0) = e2
| op(e0,e0) = e3
| op(e0,e0) = e4 )
& ( op(e0,e1) = e0
| op(e0,e1) = e1
| op(e0,e1) = e2
| op(e0,e1) = e3
| op(e0,e1) = e4 )
& ( op(e0,e2) = e0
| op(e0,e2) = e1
| op(e0,e2) = e2
| op(e0,e2) = e3
| op(e0,e2) = e4 )
& ( op(e0,e3) = e0
| op(e0,e3) = e1
| op(e0,e3) = e2
| op(e0,e3) = e3
| op(e0,e3) = e4 )
& ( op(e0,e4) = e0
| op(e0,e4) = e1
| op(e0,e4) = e2
| op(e0,e4) = e3
| op(e0,e4) = e4 )
& ( op(e1,e0) = e0
| op(e1,e0) = e1
| op(e1,e0) = e2
| op(e1,e0) = e3
| op(e1,e0) = e4 )
& ( op(e1,e1) = e0
| op(e1,e1) = e1
| op(e1,e1) = e2
| op(e1,e1) = e3
| op(e1,e1) = e4 )
& ( op(e1,e2) = e0
| op(e1,e2) = e1
| op(e1,e2) = e2
| op(e1,e2) = e3
| op(e1,e2) = e4 )
& ( op(e1,e3) = e0
| op(e1,e3) = e1
| op(e1,e3) = e2
| op(e1,e3) = e3
| op(e1,e3) = e4 )
& ( op(e1,e4) = e0
| op(e1,e4) = e1
| op(e1,e4) = e2
| op(e1,e4) = e3
| op(e1,e4) = e4 )
& ( op(e2,e0) = e0
| op(e2,e0) = e1
| op(e2,e0) = e2
| op(e2,e0) = e3
| op(e2,e0) = e4 )
& ( op(e2,e1) = e0
| op(e2,e1) = e1
| op(e2,e1) = e2
| op(e2,e1) = e3
| op(e2,e1) = e4 )
& ( op(e2,e2) = e0
| op(e2,e2) = e1
| op(e2,e2) = e2
| op(e2,e2) = e3
| op(e2,e2) = e4 )
& ( op(e2,e3) = e0
| op(e2,e3) = e1
| op(e2,e3) = e2
| op(e2,e3) = e3
| op(e2,e3) = e4 )
& ( op(e2,e4) = e0
| op(e2,e4) = e1
| op(e2,e4) = e2
| op(e2,e4) = e3
| op(e2,e4) = e4 )
& ( op(e3,e0) = e0
| op(e3,e0) = e1
| op(e3,e0) = e2
| op(e3,e0) = e3
| op(e3,e0) = e4 )
& ( op(e3,e1) = e0
| op(e3,e1) = e1
| op(e3,e1) = e2
| op(e3,e1) = e3
| op(e3,e1) = e4 )
& ( op(e3,e2) = e0
| op(e3,e2) = e1
| op(e3,e2) = e2
| op(e3,e2) = e3
| op(e3,e2) = e4 )
& ( op(e3,e3) = e0
| op(e3,e3) = e1
| op(e3,e3) = e2
| op(e3,e3) = e3
| op(e3,e3) = e4 )
& ( op(e3,e4) = e0
| op(e3,e4) = e1
| op(e3,e4) = e2
| op(e3,e4) = e3
| op(e3,e4) = e4 )
& ( op(e4,e0) = e0
| op(e4,e0) = e1
| op(e4,e0) = e2
| op(e4,e0) = e3
| op(e4,e0) = e4 )
& ( op(e4,e1) = e0
| op(e4,e1) = e1
| op(e4,e1) = e2
| op(e4,e1) = e3
| op(e4,e1) = e4 )
& ( op(e4,e2) = e0
| op(e4,e2) = e1
| op(e4,e2) = e2
| op(e4,e2) = e3
| op(e4,e2) = e4 )
& ( op(e4,e3) = e0
| op(e4,e3) = e1
| op(e4,e3) = e2
| op(e4,e3) = e3
| op(e4,e3) = e4 )
& ( op(e4,e4) = e0
| op(e4,e4) = e1
| op(e4,e4) = e2
| op(e4,e4) = e3
| op(e4,e4) = e4 ) ),
inference(canonicalize,[],[ax1]) ).
fof(normalize_22_31,plain,
( op(e2,e1) = e0
| op(e2,e1) = e1
| op(e2,e1) = e2
| op(e2,e1) = e3
| op(e2,e1) = e4 ),
inference(conjunct,[],[normalize_22_30]) ).
fof(normalize_22_32,plain,
op(e2,e1) != op(e2,e2),
inference(conjunct,[],[normalize_22_8]) ).
fof(normalize_22_33,plain,
op(e1,e1) != op(e2,e1),
inference(conjunct,[],[normalize_22_8]) ).
fof(normalize_22_34,plain,
op(e2,e0) != op(e2,e1),
inference(conjunct,[],[normalize_22_8]) ).
fof(normalize_22_35,plain,
op(e2,unit) = e2,
inference(conjunct,[],[normalize_22_6]) ).
fof(normalize_22_36,plain,
op(e4,e1) != op(e4,e4),
inference(conjunct,[],[normalize_22_8]) ).
fof(normalize_22_37,plain,
( op(e0,e2) = e1
| op(e1,e2) = e1
| op(e2,e2) = e1
| op(e3,e2) = e1
| op(e4,e2) = e1 ),
inference(conjunct,[],[normalize_22_0]) ).
fof(normalize_22_38,plain,
op(e3,e2) != op(e3,e3),
inference(conjunct,[],[normalize_22_8]) ).
fof(normalize_22_39,plain,
op(e0,unit) = e0,
inference(conjunct,[],[normalize_22_6]) ).
fof(normalize_22_40,plain,
op(op(e4,e2),e2) = e4,
inference(conjunct,[],[normalize_22_10]) ).
fof(normalize_22_41,plain,
op(e3,unit) = e3,
inference(conjunct,[],[normalize_22_6]) ).
cnf(refute_22_0,plain,
( op(e0,e1) = e2
| op(e1,e1) = e2
| op(e2,e1) = e2
| op(e3,e1) = e2
| op(e4,e1) = e2 ),
inference(canonicalize,[],[normalize_22_1]) ).
cnf(refute_22_1,plain,
e4 = op(e1,e1),
inference(canonicalize,[],[normalize_22_3]) ).
cnf(refute_22_2,plain,
X = X,
introduced(tautology,[refl,[$fot(X)]]) ).
cnf(refute_22_3,plain,
( X != X
| X != Y
| Y = X ),
introduced(tautology,[equality,[$cnf( $equal(X,X) ),[0],$fot(Y)]]) ).
cnf(refute_22_4,plain,
( X != Y
| Y = X ),
inference(resolve,[$cnf( $equal(X,X) )],[refute_22_2,refute_22_3]) ).
cnf(refute_22_5,plain,
( e4 != op(e1,e1)
| op(e1,e1) = e4 ),
inference(subst,[],[refute_22_4:[bind(X,$fot(e4)),bind(Y,$fot(op(e1,e1)))]]) ).
cnf(refute_22_6,plain,
op(e1,e1) = e4,
inference(resolve,[$cnf( $equal(e4,op(e1,e1)) )],[refute_22_1,refute_22_5]) ).
cnf(refute_22_7,plain,
( op(e1,e1) != e2
| op(e1,e1) != e4
| e4 = e2 ),
introduced(tautology,[equality,[$cnf( $equal(op(e1,e1),e2) ),[0],$fot(e4)]]) ).
cnf(refute_22_8,plain,
( op(e1,e1) != e2
| e4 = e2 ),
inference(resolve,[$cnf( $equal(op(e1,e1),e4) )],[refute_22_6,refute_22_7]) ).
cnf(refute_22_9,plain,
( e4 = e2
| op(e0,e1) = e2
| op(e2,e1) = e2
| op(e3,e1) = e2
| op(e4,e1) = e2 ),
inference(resolve,[$cnf( $equal(op(e1,e1),e2) )],[refute_22_0,refute_22_8]) ).
cnf(refute_22_10,plain,
e2 != e4,
inference(canonicalize,[],[normalize_22_5]) ).
cnf(refute_22_11,plain,
( e4 != e2
| e2 = e4 ),
inference(subst,[],[refute_22_4:[bind(X,$fot(e4)),bind(Y,$fot(e2))]]) ).
cnf(refute_22_12,plain,
e4 != e2,
inference(resolve,[$cnf( $equal(e2,e4) )],[refute_22_11,refute_22_10]) ).
cnf(refute_22_13,plain,
( op(e0,e1) = e2
| op(e2,e1) = e2
| op(e3,e1) = e2
| op(e4,e1) = e2 ),
inference(resolve,[$cnf( $equal(e4,e2) )],[refute_22_9,refute_22_12]) ).
cnf(refute_22_14,plain,
op(unit,e1) = e1,
inference(canonicalize,[],[normalize_22_7]) ).
cnf(refute_22_15,plain,
op(e3,e0) != op(e3,e3),
inference(canonicalize,[],[normalize_22_9]) ).
cnf(refute_22_16,plain,
( op(e0,e0) = e0
| op(e1,e1) = e0
| op(e2,e2) = e0
| op(e3,e3) = e0
| op(e4,e4) = e0 ),
inference(canonicalize,[],[normalize_22_11]) ).
cnf(refute_22_17,plain,
( op(e1,e1) != e0
| op(e1,e1) != e4
| e4 = e0 ),
introduced(tautology,[equality,[$cnf( $equal(op(e1,e1),e0) ),[0],$fot(e4)]]) ).
cnf(refute_22_18,plain,
( op(e1,e1) != e0
| e4 = e0 ),
inference(resolve,[$cnf( $equal(op(e1,e1),e4) )],[refute_22_6,refute_22_17]) ).
cnf(refute_22_19,plain,
( e4 = e0
| op(e0,e0) = e0
| op(e2,e2) = e0
| op(e3,e3) = e0
| op(e4,e4) = e0 ),
inference(resolve,[$cnf( $equal(op(e1,e1),e0) )],[refute_22_16,refute_22_18]) ).
cnf(refute_22_20,plain,
e3 = op(op(op(e1,e1),op(e1,e1)),op(op(e1,e1),op(e1,e1))),
inference(canonicalize,[],[normalize_22_12]) ).
cnf(refute_22_21,plain,
e2 = op(op(e1,e1),op(e1,e1)),
inference(canonicalize,[],[normalize_22_13]) ).
cnf(refute_22_22,plain,
( e2 != op(op(e1,e1),op(e1,e1))
| op(op(e1,e1),op(e1,e1)) = e2 ),
inference(subst,[],[refute_22_4:[bind(X,$fot(e2)),bind(Y,$fot(op(op(e1,e1),op(e1,e1))))]]) ).
cnf(refute_22_23,plain,
op(op(e1,e1),op(e1,e1)) = e2,
inference(resolve,[$cnf( $equal(e2,op(op(e1,e1),op(e1,e1))) )],[refute_22_21,refute_22_22]) ).
cnf(refute_22_24,plain,
op(e2,op(op(e1,e1),op(e1,e1))) = op(e2,op(op(e1,e1),op(e1,e1))),
introduced(tautology,[refl,[$fot(op(e2,op(op(e1,e1),op(e1,e1))))]]) ).
cnf(refute_22_25,plain,
( op(e2,op(op(e1,e1),op(e1,e1))) != op(e2,op(op(e1,e1),op(e1,e1)))
| op(op(e1,e1),op(e1,e1)) != e2
| op(e2,op(op(e1,e1),op(e1,e1))) = op(e2,e2) ),
introduced(tautology,[equality,[$cnf( $equal(op(e2,op(op(e1,e1),op(e1,e1))),op(e2,op(op(e1,e1),op(e1,e1)))) ),[1,1],$fot(e2)]]) ).
cnf(refute_22_26,plain,
( op(op(e1,e1),op(e1,e1)) != e2
| op(e2,op(op(e1,e1),op(e1,e1))) = op(e2,e2) ),
inference(resolve,[$cnf( $equal(op(e2,op(op(e1,e1),op(e1,e1))),op(e2,op(op(e1,e1),op(e1,e1)))) )],[refute_22_24,refute_22_25]) ).
cnf(refute_22_27,plain,
op(e2,op(op(e1,e1),op(e1,e1))) = op(e2,e2),
inference(resolve,[$cnf( $equal(op(op(e1,e1),op(e1,e1)),e2) )],[refute_22_23,refute_22_26]) ).
cnf(refute_22_28,plain,
op(op(op(e1,e1),op(e1,e1)),op(op(e1,e1),op(e1,e1))) = op(op(op(e1,e1),op(e1,e1)),op(op(e1,e1),op(e1,e1))),
introduced(tautology,[refl,[$fot(op(op(op(e1,e1),op(e1,e1)),op(op(e1,e1),op(e1,e1))))]]) ).
cnf(refute_22_29,plain,
( op(op(e1,e1),op(e1,e1)) != e2
| op(op(op(e1,e1),op(e1,e1)),op(op(e1,e1),op(e1,e1))) != op(op(op(e1,e1),op(e1,e1)),op(op(e1,e1),op(e1,e1)))
| op(op(op(e1,e1),op(e1,e1)),op(op(e1,e1),op(e1,e1))) = op(e2,op(op(e1,e1),op(e1,e1))) ),
introduced(tautology,[equality,[$cnf( $equal(op(op(op(e1,e1),op(e1,e1)),op(op(e1,e1),op(e1,e1))),op(op(op(e1,e1),op(e1,e1)),op(op(e1,e1),op(e1,e1)))) ),[1,0],$fot(e2)]]) ).
cnf(refute_22_30,plain,
( op(op(e1,e1),op(e1,e1)) != e2
| op(op(op(e1,e1),op(e1,e1)),op(op(e1,e1),op(e1,e1))) = op(e2,op(op(e1,e1),op(e1,e1))) ),
inference(resolve,[$cnf( $equal(op(op(op(e1,e1),op(e1,e1)),op(op(e1,e1),op(e1,e1))),op(op(op(e1,e1),op(e1,e1)),op(op(e1,e1),op(e1,e1)))) )],[refute_22_28,refute_22_29]) ).
cnf(refute_22_31,plain,
op(op(op(e1,e1),op(e1,e1)),op(op(e1,e1),op(e1,e1))) = op(e2,op(op(e1,e1),op(e1,e1))),
inference(resolve,[$cnf( $equal(op(op(e1,e1),op(e1,e1)),e2) )],[refute_22_23,refute_22_30]) ).
cnf(refute_22_32,plain,
( Y != X
| Y != Z
| X = Z ),
introduced(tautology,[equality,[$cnf( $equal(Y,Z) ),[0],$fot(X)]]) ).
cnf(refute_22_33,plain,
( X != Y
| Y != Z
| X = Z ),
inference(resolve,[$cnf( $equal(Y,X) )],[refute_22_4,refute_22_32]) ).
cnf(refute_22_34,plain,
( op(e2,op(op(e1,e1),op(e1,e1))) != op(e2,e2)
| op(op(op(e1,e1),op(e1,e1)),op(op(e1,e1),op(e1,e1))) != op(e2,op(op(e1,e1),op(e1,e1)))
| op(op(op(e1,e1),op(e1,e1)),op(op(e1,e1),op(e1,e1))) = op(e2,e2) ),
inference(subst,[],[refute_22_33:[bind(X,$fot(op(op(op(e1,e1),op(e1,e1)),op(op(e1,e1),op(e1,e1))))),bind(Y,$fot(op(e2,op(op(e1,e1),op(e1,e1))))),bind(Z,$fot(op(e2,e2)))]]) ).
cnf(refute_22_35,plain,
( op(e2,op(op(e1,e1),op(e1,e1))) != op(e2,e2)
| op(op(op(e1,e1),op(e1,e1)),op(op(e1,e1),op(e1,e1))) = op(e2,e2) ),
inference(resolve,[$cnf( $equal(op(op(op(e1,e1),op(e1,e1)),op(op(e1,e1),op(e1,e1))),op(e2,op(op(e1,e1),op(e1,e1)))) )],[refute_22_31,refute_22_34]) ).
cnf(refute_22_36,plain,
op(op(op(e1,e1),op(e1,e1)),op(op(e1,e1),op(e1,e1))) = op(e2,e2),
inference(resolve,[$cnf( $equal(op(e2,op(op(e1,e1),op(e1,e1))),op(e2,e2)) )],[refute_22_27,refute_22_35]) ).
cnf(refute_22_37,plain,
( e3 != op(op(op(e1,e1),op(e1,e1)),op(op(e1,e1),op(e1,e1)))
| op(op(op(e1,e1),op(e1,e1)),op(op(e1,e1),op(e1,e1))) != op(e2,e2)
| e3 = op(e2,e2) ),
introduced(tautology,[equality,[$cnf( ~ $equal(e3,op(e2,e2)) ),[0],$fot(op(op(op(e1,e1),op(e1,e1)),op(op(e1,e1),op(e1,e1))))]]) ).
cnf(refute_22_38,plain,
( e3 != op(op(op(e1,e1),op(e1,e1)),op(op(e1,e1),op(e1,e1)))
| e3 = op(e2,e2) ),
inference(resolve,[$cnf( $equal(op(op(op(e1,e1),op(e1,e1)),op(op(e1,e1),op(e1,e1))),op(e2,e2)) )],[refute_22_36,refute_22_37]) ).
cnf(refute_22_39,plain,
e3 = op(e2,e2),
inference(resolve,[$cnf( $equal(e3,op(op(op(e1,e1),op(e1,e1)),op(op(e1,e1),op(e1,e1)))) )],[refute_22_20,refute_22_38]) ).
cnf(refute_22_40,plain,
( e3 != op(e2,e2)
| op(e2,e2) = e3 ),
inference(subst,[],[refute_22_4:[bind(X,$fot(e3)),bind(Y,$fot(op(e2,e2)))]]) ).
cnf(refute_22_41,plain,
op(e2,e2) = e3,
inference(resolve,[$cnf( $equal(e3,op(e2,e2)) )],[refute_22_39,refute_22_40]) ).
cnf(refute_22_42,plain,
( op(e2,e2) != e0
| op(e2,e2) != e3
| e3 = e0 ),
introduced(tautology,[equality,[$cnf( $equal(op(e2,e2),e0) ),[0],$fot(e3)]]) ).
cnf(refute_22_43,plain,
( op(e2,e2) != e0
| e3 = e0 ),
inference(resolve,[$cnf( $equal(op(e2,e2),e3) )],[refute_22_41,refute_22_42]) ).
cnf(refute_22_44,plain,
( e3 = e0
| e4 = e0
| op(e0,e0) = e0
| op(e3,e3) = e0
| op(e4,e4) = e0 ),
inference(resolve,[$cnf( $equal(op(e2,e2),e0) )],[refute_22_19,refute_22_43]) ).
cnf(refute_22_45,plain,
op(e4,op(e1,e1)) = op(e4,op(e1,e1)),
introduced(tautology,[refl,[$fot(op(e4,op(e1,e1)))]]) ).
cnf(refute_22_46,plain,
( op(e1,e1) != e4
| op(e4,op(e1,e1)) != op(e4,op(e1,e1))
| op(e4,op(e1,e1)) = op(e4,e4) ),
introduced(tautology,[equality,[$cnf( $equal(op(e4,op(e1,e1)),op(e4,op(e1,e1))) ),[1,1],$fot(e4)]]) ).
cnf(refute_22_47,plain,
( op(e1,e1) != e4
| op(e4,op(e1,e1)) = op(e4,e4) ),
inference(resolve,[$cnf( $equal(op(e4,op(e1,e1)),op(e4,op(e1,e1))) )],[refute_22_45,refute_22_46]) ).
cnf(refute_22_48,plain,
op(e4,op(e1,e1)) = op(e4,e4),
inference(resolve,[$cnf( $equal(op(e1,e1),e4) )],[refute_22_6,refute_22_47]) ).
cnf(refute_22_49,plain,
op(op(e1,e1),op(e1,e1)) = op(op(e1,e1),op(e1,e1)),
introduced(tautology,[refl,[$fot(op(op(e1,e1),op(e1,e1)))]]) ).
cnf(refute_22_50,plain,
( op(e1,e1) != e4
| op(op(e1,e1),op(e1,e1)) != op(op(e1,e1),op(e1,e1))
| op(op(e1,e1),op(e1,e1)) = op(e4,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(e4)]]) ).
cnf(refute_22_51,plain,
( op(e1,e1) != e4
| op(op(e1,e1),op(e1,e1)) = op(e4,op(e1,e1)) ),
inference(resolve,[$cnf( $equal(op(op(e1,e1),op(e1,e1)),op(op(e1,e1),op(e1,e1))) )],[refute_22_49,refute_22_50]) ).
cnf(refute_22_52,plain,
op(op(e1,e1),op(e1,e1)) = op(e4,op(e1,e1)),
inference(resolve,[$cnf( $equal(op(e1,e1),e4) )],[refute_22_6,refute_22_51]) ).
cnf(refute_22_53,plain,
( op(e4,op(e1,e1)) != op(e4,e4)
| op(op(e1,e1),op(e1,e1)) != op(e4,op(e1,e1))
| op(op(e1,e1),op(e1,e1)) = op(e4,e4) ),
inference(subst,[],[refute_22_33:[bind(X,$fot(op(op(e1,e1),op(e1,e1)))),bind(Y,$fot(op(e4,op(e1,e1)))),bind(Z,$fot(op(e4,e4)))]]) ).
cnf(refute_22_54,plain,
( op(e4,op(e1,e1)) != op(e4,e4)
| op(op(e1,e1),op(e1,e1)) = op(e4,e4) ),
inference(resolve,[$cnf( $equal(op(op(e1,e1),op(e1,e1)),op(e4,op(e1,e1))) )],[refute_22_52,refute_22_53]) ).
cnf(refute_22_55,plain,
op(op(e1,e1),op(e1,e1)) = op(e4,e4),
inference(resolve,[$cnf( $equal(op(e4,op(e1,e1)),op(e4,e4)) )],[refute_22_48,refute_22_54]) ).
cnf(refute_22_56,plain,
( e2 != op(op(e1,e1),op(e1,e1))
| op(op(e1,e1),op(e1,e1)) != op(e4,e4)
| e2 = op(e4,e4) ),
introduced(tautology,[equality,[$cnf( ~ $equal(e2,op(e4,e4)) ),[0],$fot(op(op(e1,e1),op(e1,e1)))]]) ).
cnf(refute_22_57,plain,
( e2 != op(op(e1,e1),op(e1,e1))
| e2 = op(e4,e4) ),
inference(resolve,[$cnf( $equal(op(op(e1,e1),op(e1,e1)),op(e4,e4)) )],[refute_22_55,refute_22_56]) ).
cnf(refute_22_58,plain,
e2 = op(e4,e4),
inference(resolve,[$cnf( $equal(e2,op(op(e1,e1),op(e1,e1))) )],[refute_22_21,refute_22_57]) ).
cnf(refute_22_59,plain,
( e2 != op(e4,e4)
| op(e4,e4) = e2 ),
inference(subst,[],[refute_22_4:[bind(X,$fot(e2)),bind(Y,$fot(op(e4,e4)))]]) ).
cnf(refute_22_60,plain,
op(e4,e4) = e2,
inference(resolve,[$cnf( $equal(e2,op(e4,e4)) )],[refute_22_58,refute_22_59]) ).
cnf(refute_22_61,plain,
( op(e4,e4) != e0
| op(e4,e4) != e2
| e2 = e0 ),
introduced(tautology,[equality,[$cnf( $equal(op(e4,e4),e0) ),[0],$fot(e2)]]) ).
cnf(refute_22_62,plain,
( op(e4,e4) != e0
| e2 = e0 ),
inference(resolve,[$cnf( $equal(op(e4,e4),e2) )],[refute_22_60,refute_22_61]) ).
cnf(refute_22_63,plain,
( e2 = e0
| e3 = e0
| e4 = e0
| op(e0,e0) = e0
| op(e3,e3) = e0 ),
inference(resolve,[$cnf( $equal(op(e4,e4),e0) )],[refute_22_44,refute_22_62]) ).
cnf(refute_22_64,plain,
e0 != e2,
inference(canonicalize,[],[normalize_22_14]) ).
cnf(refute_22_65,plain,
( e2 != e0
| e0 = e2 ),
inference(subst,[],[refute_22_4:[bind(X,$fot(e2)),bind(Y,$fot(e0))]]) ).
cnf(refute_22_66,plain,
e2 != e0,
inference(resolve,[$cnf( $equal(e0,e2) )],[refute_22_65,refute_22_64]) ).
cnf(refute_22_67,plain,
( e3 = e0
| e4 = e0
| op(e0,e0) = e0
| op(e3,e3) = e0 ),
inference(resolve,[$cnf( $equal(e2,e0) )],[refute_22_63,refute_22_66]) ).
cnf(refute_22_68,plain,
e0 != e3,
inference(canonicalize,[],[normalize_22_15]) ).
cnf(refute_22_69,plain,
( e3 != e0
| e0 = e3 ),
inference(subst,[],[refute_22_4:[bind(X,$fot(e3)),bind(Y,$fot(e0))]]) ).
cnf(refute_22_70,plain,
e3 != e0,
inference(resolve,[$cnf( $equal(e0,e3) )],[refute_22_69,refute_22_68]) ).
cnf(refute_22_71,plain,
( e4 = e0
| op(e0,e0) = e0
| op(e3,e3) = e0 ),
inference(resolve,[$cnf( $equal(e3,e0) )],[refute_22_67,refute_22_70]) ).
cnf(refute_22_72,plain,
e0 != e4,
inference(canonicalize,[],[normalize_22_16]) ).
cnf(refute_22_73,plain,
( e4 != e0
| e0 = e4 ),
inference(subst,[],[refute_22_4:[bind(X,$fot(e4)),bind(Y,$fot(e0))]]) ).
cnf(refute_22_74,plain,
e4 != e0,
inference(resolve,[$cnf( $equal(e0,e4) )],[refute_22_73,refute_22_72]) ).
cnf(refute_22_75,plain,
( op(e0,e0) = e0
| op(e3,e3) = e0 ),
inference(resolve,[$cnf( $equal(e4,e0) )],[refute_22_71,refute_22_74]) ).
cnf(refute_22_76,plain,
( op(e3,e0) != e0
| op(e3,e3) != e0
| op(e3,e0) = op(e3,e3) ),
introduced(tautology,[equality,[$cnf( ~ $equal(op(e3,e0),op(e3,e3)) ),[1],$fot(e0)]]) ).
cnf(refute_22_77,plain,
( op(e3,e0) != e0
| op(e0,e0) = e0
| op(e3,e0) = op(e3,e3) ),
inference(resolve,[$cnf( $equal(op(e3,e3),e0) )],[refute_22_75,refute_22_76]) ).
cnf(refute_22_78,plain,
( op(e3,e0) != e0
| op(e0,e0) = e0 ),
inference(resolve,[$cnf( $equal(op(e3,e0),op(e3,e3)) )],[refute_22_77,refute_22_15]) ).
cnf(refute_22_79,plain,
op(unit,e0) = e0,
inference(canonicalize,[],[normalize_22_17]) ).
cnf(refute_22_80,plain,
op(unit,e2) = e2,
inference(canonicalize,[],[normalize_22_18]) ).
cnf(refute_22_81,plain,
( unit = e0
| unit = e1
| unit = e2
| unit = e3
| unit = e4 ),
inference(canonicalize,[],[normalize_22_19]) ).
cnf(refute_22_82,plain,
( op(unit,e2) != e2
| unit != e1
| op(e1,e2) = e2 ),
introduced(tautology,[equality,[$cnf( $equal(op(unit,e2),e2) ),[0,0],$fot(e1)]]) ).
cnf(refute_22_83,plain,
( op(unit,e2) != e2
| op(e1,e2) = e2
| unit = e0
| unit = e2
| unit = e3
| unit = e4 ),
inference(resolve,[$cnf( $equal(unit,e1) )],[refute_22_81,refute_22_82]) ).
cnf(refute_22_84,plain,
( op(e1,e2) = e2
| unit = e0
| unit = e2
| unit = e3
| unit = e4 ),
inference(resolve,[$cnf( $equal(op(unit,e2),e2) )],[refute_22_80,refute_22_83]) ).
cnf(refute_22_85,plain,
e0 = op(e1,op(op(e1,e1),op(e1,e1))),
inference(canonicalize,[],[normalize_22_20]) ).
cnf(refute_22_86,plain,
op(e1,op(op(e1,e1),op(e1,e1))) = op(e1,op(op(e1,e1),op(e1,e1))),
introduced(tautology,[refl,[$fot(op(e1,op(op(e1,e1),op(e1,e1))))]]) ).
cnf(refute_22_87,plain,
( op(e1,op(op(e1,e1),op(e1,e1))) != op(e1,op(op(e1,e1),op(e1,e1)))
| op(op(e1,e1),op(e1,e1)) != e2
| op(e1,op(op(e1,e1),op(e1,e1))) = op(e1,e2) ),
introduced(tautology,[equality,[$cnf( $equal(op(e1,op(op(e1,e1),op(e1,e1))),op(e1,op(op(e1,e1),op(e1,e1)))) ),[1,1],$fot(e2)]]) ).
cnf(refute_22_88,plain,
( op(op(e1,e1),op(e1,e1)) != e2
| op(e1,op(op(e1,e1),op(e1,e1))) = op(e1,e2) ),
inference(resolve,[$cnf( $equal(op(e1,op(op(e1,e1),op(e1,e1))),op(e1,op(op(e1,e1),op(e1,e1)))) )],[refute_22_86,refute_22_87]) ).
cnf(refute_22_89,plain,
op(e1,op(op(e1,e1),op(e1,e1))) = op(e1,e2),
inference(resolve,[$cnf( $equal(op(op(e1,e1),op(e1,e1)),e2) )],[refute_22_23,refute_22_88]) ).
cnf(refute_22_90,plain,
( e0 != op(e1,op(op(e1,e1),op(e1,e1)))
| op(e1,op(op(e1,e1),op(e1,e1))) != op(e1,e2)
| e0 = op(e1,e2) ),
introduced(tautology,[equality,[$cnf( ~ $equal(e0,op(e1,e2)) ),[0],$fot(op(e1,op(op(e1,e1),op(e1,e1))))]]) ).
cnf(refute_22_91,plain,
( e0 != op(e1,op(op(e1,e1),op(e1,e1)))
| e0 = op(e1,e2) ),
inference(resolve,[$cnf( $equal(op(e1,op(op(e1,e1),op(e1,e1))),op(e1,e2)) )],[refute_22_89,refute_22_90]) ).
cnf(refute_22_92,plain,
e0 = op(e1,e2),
inference(resolve,[$cnf( $equal(e0,op(e1,op(op(e1,e1),op(e1,e1)))) )],[refute_22_85,refute_22_91]) ).
cnf(refute_22_93,plain,
( e0 != op(e1,e2)
| op(e1,e2) = e0 ),
inference(subst,[],[refute_22_4:[bind(X,$fot(e0)),bind(Y,$fot(op(e1,e2)))]]) ).
cnf(refute_22_94,plain,
op(e1,e2) = e0,
inference(resolve,[$cnf( $equal(e0,op(e1,e2)) )],[refute_22_92,refute_22_93]) ).
cnf(refute_22_95,plain,
( op(e1,e2) != e0
| op(e1,e2) != e2
| e0 = e2 ),
introduced(tautology,[equality,[$cnf( $equal(op(e1,e2),e2) ),[0],$fot(e0)]]) ).
cnf(refute_22_96,plain,
( op(e1,e2) != e2
| e0 = e2 ),
inference(resolve,[$cnf( $equal(op(e1,e2),e0) )],[refute_22_94,refute_22_95]) ).
cnf(refute_22_97,plain,
( e0 = e2
| unit = e0
| unit = e2
| unit = e3
| unit = e4 ),
inference(resolve,[$cnf( $equal(op(e1,e2),e2) )],[refute_22_84,refute_22_96]) ).
cnf(refute_22_98,plain,
( unit = e0
| unit = e2
| unit = e3
| unit = e4 ),
inference(resolve,[$cnf( $equal(e0,e2) )],[refute_22_97,refute_22_64]) ).
cnf(refute_22_99,plain,
( op(unit,e2) != e2
| unit != e2
| op(e2,e2) = e2 ),
introduced(tautology,[equality,[$cnf( $equal(op(unit,e2),e2) ),[0,0],$fot(e2)]]) ).
cnf(refute_22_100,plain,
( op(unit,e2) != e2
| op(e2,e2) = e2
| unit = e0
| unit = e3
| unit = e4 ),
inference(resolve,[$cnf( $equal(unit,e2) )],[refute_22_98,refute_22_99]) ).
cnf(refute_22_101,plain,
( op(e2,e2) = e2
| unit = e0
| unit = e3
| unit = e4 ),
inference(resolve,[$cnf( $equal(op(unit,e2),e2) )],[refute_22_80,refute_22_100]) ).
cnf(refute_22_102,plain,
( op(e2,e2) != e2
| op(e2,e2) != e3
| e3 = e2 ),
introduced(tautology,[equality,[$cnf( $equal(op(e2,e2),e2) ),[0],$fot(e3)]]) ).
cnf(refute_22_103,plain,
( op(e2,e2) != e2
| e3 = e2 ),
inference(resolve,[$cnf( $equal(op(e2,e2),e3) )],[refute_22_41,refute_22_102]) ).
cnf(refute_22_104,plain,
( e3 = e2
| unit = e0
| unit = e3
| unit = e4 ),
inference(resolve,[$cnf( $equal(op(e2,e2),e2) )],[refute_22_101,refute_22_103]) ).
cnf(refute_22_105,plain,
e2 != e3,
inference(canonicalize,[],[normalize_22_21]) ).
cnf(refute_22_106,plain,
( e3 != e2
| e2 = e3 ),
inference(subst,[],[refute_22_4:[bind(X,$fot(e3)),bind(Y,$fot(e2))]]) ).
cnf(refute_22_107,plain,
e3 != e2,
inference(resolve,[$cnf( $equal(e2,e3) )],[refute_22_106,refute_22_105]) ).
cnf(refute_22_108,plain,
( unit = e0
| unit = e3
| unit = e4 ),
inference(resolve,[$cnf( $equal(e3,e2) )],[refute_22_104,refute_22_107]) ).
cnf(refute_22_109,plain,
( op(unit,e2) != e2
| unit != e4
| op(e4,e2) = e2 ),
introduced(tautology,[equality,[$cnf( $equal(op(unit,e2),e2) ),[0,0],$fot(e4)]]) ).
cnf(refute_22_110,plain,
( op(unit,e2) != e2
| op(e4,e2) = e2
| unit = e0
| unit = e3 ),
inference(resolve,[$cnf( $equal(unit,e4) )],[refute_22_108,refute_22_109]) ).
cnf(refute_22_111,plain,
( op(e4,e2) = e2
| unit = e0
| unit = e3 ),
inference(resolve,[$cnf( $equal(op(unit,e2),e2) )],[refute_22_80,refute_22_110]) ).
cnf(refute_22_112,plain,
op(e4,e2) != op(e4,e4),
inference(canonicalize,[],[normalize_22_22]) ).
cnf(refute_22_113,plain,
( op(e4,e2) != e2
| op(e4,e4) != e2
| op(e4,e2) = op(e4,e4) ),
introduced(tautology,[equality,[$cnf( ~ $equal(op(e4,e2),op(e4,e4)) ),[1],$fot(e2)]]) ).
cnf(refute_22_114,plain,
( op(e4,e2) != e2
| op(e4,e2) = op(e4,e4) ),
inference(resolve,[$cnf( $equal(op(e4,e4),e2) )],[refute_22_60,refute_22_113]) ).
cnf(refute_22_115,plain,
op(e4,e2) != e2,
inference(resolve,[$cnf( $equal(op(e4,e2),op(e4,e4)) )],[refute_22_114,refute_22_112]) ).
cnf(refute_22_116,plain,
( unit = e0
| unit = e3 ),
inference(resolve,[$cnf( $equal(op(e4,e2),e2) )],[refute_22_111,refute_22_115]) ).
cnf(refute_22_117,plain,
( op(unit,e0) != e0
| unit != e3
| op(e3,e0) = e0 ),
introduced(tautology,[equality,[$cnf( $equal(op(unit,e0),e0) ),[0,0],$fot(e3)]]) ).
cnf(refute_22_118,plain,
( op(unit,e0) != e0
| op(e3,e0) = e0
| unit = e0 ),
inference(resolve,[$cnf( $equal(unit,e3) )],[refute_22_116,refute_22_117]) ).
cnf(refute_22_119,plain,
( op(e3,e0) = e0
| unit = e0 ),
inference(resolve,[$cnf( $equal(op(unit,e0),e0) )],[refute_22_79,refute_22_118]) ).
cnf(refute_22_120,plain,
( e0 != e0
| op(e3,e0) != e0
| op(e3,e0) = e0 ),
introduced(tautology,[equality,[$cnf( $equal(op(e3,e0),e0) ),[0,1],$fot(e0)]]) ).
cnf(refute_22_121,plain,
( e0 != e0
| op(e3,e0) = e0
| unit = e0 ),
inference(resolve,[$cnf( $equal(op(e3,e0),e0) )],[refute_22_119,refute_22_120]) ).
cnf(refute_22_122,plain,
( e0 != e0
| op(e0,e0) = e0
| unit = e0 ),
inference(resolve,[$cnf( $equal(op(e3,e0),e0) )],[refute_22_121,refute_22_78]) ).
cnf(refute_22_123,plain,
e0 = e0,
introduced(tautology,[refl,[$fot(e0)]]) ).
cnf(refute_22_124,plain,
( op(e0,e0) = e0
| unit = e0 ),
inference(resolve,[$cnf( $equal(e0,e0) )],[refute_22_123,refute_22_122]) ).
cnf(refute_22_125,plain,
op(e0,e0) != op(e3,e0),
inference(canonicalize,[],[normalize_22_23]) ).
cnf(refute_22_126,plain,
( op(e0,e0) = e1
| op(e1,e1) = e1
| op(e2,e2) = e1
| op(e3,e3) = e1
| op(e4,e4) = e1 ),
inference(canonicalize,[],[normalize_22_24]) ).
cnf(refute_22_127,plain,
( op(e1,e1) != e1
| op(e1,e1) != e4
| e4 = e1 ),
introduced(tautology,[equality,[$cnf( $equal(op(e1,e1),e1) ),[0],$fot(e4)]]) ).
cnf(refute_22_128,plain,
( op(e1,e1) != e1
| e4 = e1 ),
inference(resolve,[$cnf( $equal(op(e1,e1),e4) )],[refute_22_6,refute_22_127]) ).
cnf(refute_22_129,plain,
( e4 = e1
| op(e0,e0) = e1
| op(e2,e2) = e1
| op(e3,e3) = e1
| op(e4,e4) = e1 ),
inference(resolve,[$cnf( $equal(op(e1,e1),e1) )],[refute_22_126,refute_22_128]) ).
cnf(refute_22_130,plain,
( op(e2,e2) != e1
| op(e2,e2) != e3
| e3 = e1 ),
introduced(tautology,[equality,[$cnf( $equal(op(e2,e2),e1) ),[0],$fot(e3)]]) ).
cnf(refute_22_131,plain,
( op(e2,e2) != e1
| e3 = e1 ),
inference(resolve,[$cnf( $equal(op(e2,e2),e3) )],[refute_22_41,refute_22_130]) ).
cnf(refute_22_132,plain,
( e3 = e1
| e4 = e1
| op(e0,e0) = e1
| op(e3,e3) = e1
| op(e4,e4) = e1 ),
inference(resolve,[$cnf( $equal(op(e2,e2),e1) )],[refute_22_129,refute_22_131]) ).
cnf(refute_22_133,plain,
( op(e4,e4) != e1
| op(e4,e4) != e2
| e2 = e1 ),
introduced(tautology,[equality,[$cnf( $equal(op(e4,e4),e1) ),[0],$fot(e2)]]) ).
cnf(refute_22_134,plain,
( op(e4,e4) != e1
| e2 = e1 ),
inference(resolve,[$cnf( $equal(op(e4,e4),e2) )],[refute_22_60,refute_22_133]) ).
cnf(refute_22_135,plain,
( e2 = e1
| e3 = e1
| e4 = e1
| op(e0,e0) = e1
| op(e3,e3) = e1 ),
inference(resolve,[$cnf( $equal(op(e4,e4),e1) )],[refute_22_132,refute_22_134]) ).
cnf(refute_22_136,plain,
e1 != e2,
inference(canonicalize,[],[normalize_22_25]) ).
cnf(refute_22_137,plain,
( e2 != e1
| e1 = e2 ),
inference(subst,[],[refute_22_4:[bind(X,$fot(e2)),bind(Y,$fot(e1))]]) ).
cnf(refute_22_138,plain,
e2 != e1,
inference(resolve,[$cnf( $equal(e1,e2) )],[refute_22_137,refute_22_136]) ).
cnf(refute_22_139,plain,
( e3 = e1
| e4 = e1
| op(e0,e0) = e1
| op(e3,e3) = e1 ),
inference(resolve,[$cnf( $equal(e2,e1) )],[refute_22_135,refute_22_138]) ).
cnf(refute_22_140,plain,
e1 != e3,
inference(canonicalize,[],[normalize_22_26]) ).
cnf(refute_22_141,plain,
( e3 != e1
| e1 = e3 ),
inference(subst,[],[refute_22_4:[bind(X,$fot(e3)),bind(Y,$fot(e1))]]) ).
cnf(refute_22_142,plain,
e3 != e1,
inference(resolve,[$cnf( $equal(e1,e3) )],[refute_22_141,refute_22_140]) ).
cnf(refute_22_143,plain,
( e4 = e1
| op(e0,e0) = e1
| op(e3,e3) = e1 ),
inference(resolve,[$cnf( $equal(e3,e1) )],[refute_22_139,refute_22_142]) ).
cnf(refute_22_144,plain,
e1 != e4,
inference(canonicalize,[],[normalize_22_27]) ).
cnf(refute_22_145,plain,
( e4 != e1
| e1 = e4 ),
inference(subst,[],[refute_22_4:[bind(X,$fot(e4)),bind(Y,$fot(e1))]]) ).
cnf(refute_22_146,plain,
e4 != e1,
inference(resolve,[$cnf( $equal(e1,e4) )],[refute_22_145,refute_22_144]) ).
cnf(refute_22_147,plain,
( op(e0,e0) = e1
| op(e3,e3) = e1 ),
inference(resolve,[$cnf( $equal(e4,e1) )],[refute_22_143,refute_22_146]) ).
cnf(refute_22_148,plain,
( op(e3,e3) != e0
| op(e3,e3) != e1
| e1 = e0 ),
introduced(tautology,[equality,[$cnf( $equal(op(e3,e3),e0) ),[0],$fot(e1)]]) ).
cnf(refute_22_149,plain,
( op(e3,e3) != e0
| e1 = e0
| op(e0,e0) = e1 ),
inference(resolve,[$cnf( $equal(op(e3,e3),e1) )],[refute_22_147,refute_22_148]) ).
cnf(refute_22_150,plain,
( e1 = e0
| op(e0,e0) = e0
| op(e0,e0) = e1 ),
inference(resolve,[$cnf( $equal(op(e3,e3),e0) )],[refute_22_75,refute_22_149]) ).
cnf(refute_22_151,plain,
e0 != e1,
inference(canonicalize,[],[normalize_22_28]) ).
cnf(refute_22_152,plain,
( e1 != e0
| e0 = e1 ),
inference(subst,[],[refute_22_4:[bind(X,$fot(e1)),bind(Y,$fot(e0))]]) ).
cnf(refute_22_153,plain,
e1 != e0,
inference(resolve,[$cnf( $equal(e0,e1) )],[refute_22_152,refute_22_151]) ).
cnf(refute_22_154,plain,
( op(e0,e0) = e0
| op(e0,e0) = e1 ),
inference(resolve,[$cnf( $equal(e1,e0) )],[refute_22_150,refute_22_153]) ).
cnf(refute_22_155,plain,
( e0 != op(e3,e0)
| op(e0,e0) != e0
| op(e0,e0) = op(e3,e0) ),
introduced(tautology,[equality,[$cnf( $equal(op(e0,e0),e0) ),[1],$fot(op(e3,e0))]]) ).
cnf(refute_22_156,plain,
( e0 != op(e3,e0)
| op(e0,e0) = e1
| op(e0,e0) = op(e3,e0) ),
inference(resolve,[$cnf( $equal(op(e0,e0),e0) )],[refute_22_154,refute_22_155]) ).
cnf(refute_22_157,plain,
( e0 != op(e3,e0)
| op(e0,e0) = e1 ),
inference(resolve,[$cnf( $equal(op(e0,e0),op(e3,e0)) )],[refute_22_156,refute_22_125]) ).
cnf(refute_22_158,plain,
( e0 != e0
| op(e3,e0) != e0
| e0 = op(e3,e0) ),
introduced(tautology,[equality,[$cnf( ~ $equal(e0,op(e3,e0)) ),[1],$fot(e0)]]) ).
cnf(refute_22_159,plain,
( e0 != e0
| e0 = op(e3,e0)
| unit = e0 ),
inference(resolve,[$cnf( $equal(op(e3,e0),e0) )],[refute_22_119,refute_22_158]) ).
cnf(refute_22_160,plain,
( e0 != e0
| op(e0,e0) = e1
| unit = e0 ),
inference(resolve,[$cnf( $equal(e0,op(e3,e0)) )],[refute_22_159,refute_22_157]) ).
cnf(refute_22_161,plain,
( op(e0,e0) = e1
| unit = e0 ),
inference(resolve,[$cnf( $equal(e0,e0) )],[refute_22_123,refute_22_160]) ).
cnf(refute_22_162,plain,
( op(e0,e0) != e0
| op(e0,e0) != e1
| e1 = e0 ),
introduced(tautology,[equality,[$cnf( $equal(op(e0,e0),e0) ),[0],$fot(e1)]]) ).
cnf(refute_22_163,plain,
( op(e0,e0) != e0
| e1 = e0
| unit = e0 ),
inference(resolve,[$cnf( $equal(op(e0,e0),e1) )],[refute_22_161,refute_22_162]) ).
cnf(refute_22_164,plain,
( e1 = e0
| unit = e0 ),
inference(resolve,[$cnf( $equal(op(e0,e0),e0) )],[refute_22_124,refute_22_163]) ).
cnf(refute_22_165,plain,
unit = e0,
inference(resolve,[$cnf( $equal(e1,e0) )],[refute_22_164,refute_22_153]) ).
cnf(refute_22_166,plain,
op(unit,e1) = op(unit,e1),
introduced(tautology,[refl,[$fot(op(unit,e1))]]) ).
cnf(refute_22_167,plain,
( op(unit,e1) != op(unit,e1)
| unit != e0
| op(unit,e1) = op(e0,e1) ),
introduced(tautology,[equality,[$cnf( $equal(op(unit,e1),op(unit,e1)) ),[1,0],$fot(e0)]]) ).
cnf(refute_22_168,plain,
( unit != e0
| op(unit,e1) = op(e0,e1) ),
inference(resolve,[$cnf( $equal(op(unit,e1),op(unit,e1)) )],[refute_22_166,refute_22_167]) ).
cnf(refute_22_169,plain,
op(unit,e1) = op(e0,e1),
inference(resolve,[$cnf( $equal(unit,e0) )],[refute_22_165,refute_22_168]) ).
cnf(refute_22_170,plain,
( op(unit,e1) != e1
| op(unit,e1) != op(e0,e1)
| op(e0,e1) = e1 ),
introduced(tautology,[equality,[$cnf( $equal(op(unit,e1),e1) ),[0],$fot(op(e0,e1))]]) ).
cnf(refute_22_171,plain,
( op(unit,e1) != e1
| op(e0,e1) = e1 ),
inference(resolve,[$cnf( $equal(op(unit,e1),op(e0,e1)) )],[refute_22_169,refute_22_170]) ).
cnf(refute_22_172,plain,
op(e0,e1) = e1,
inference(resolve,[$cnf( $equal(op(unit,e1),e1) )],[refute_22_14,refute_22_171]) ).
cnf(refute_22_173,plain,
( op(e0,e1) != e1
| op(e0,e1) != e2
| e1 = e2 ),
introduced(tautology,[equality,[$cnf( $equal(op(e0,e1),e2) ),[0],$fot(e1)]]) ).
cnf(refute_22_174,plain,
( op(e0,e1) != e2
| e1 = e2 ),
inference(resolve,[$cnf( $equal(op(e0,e1),e1) )],[refute_22_172,refute_22_173]) ).
cnf(refute_22_175,plain,
( e1 = e2
| op(e2,e1) = e2
| op(e3,e1) = e2
| op(e4,e1) = e2 ),
inference(resolve,[$cnf( $equal(op(e0,e1),e2) )],[refute_22_13,refute_22_174]) ).
cnf(refute_22_176,plain,
op(e0,e1) != op(e2,e1),
inference(canonicalize,[],[normalize_22_29]) ).
cnf(refute_22_177,plain,
( e1 != op(e2,e1)
| op(e0,e1) != e1
| op(e0,e1) = op(e2,e1) ),
introduced(tautology,[equality,[$cnf( $equal(op(e0,e1),e1) ),[1],$fot(op(e2,e1))]]) ).
cnf(refute_22_178,plain,
( e1 != op(e2,e1)
| op(e0,e1) = op(e2,e1) ),
inference(resolve,[$cnf( $equal(op(e0,e1),e1) )],[refute_22_172,refute_22_177]) ).
cnf(refute_22_179,plain,
e1 != op(e2,e1),
inference(resolve,[$cnf( $equal(op(e0,e1),op(e2,e1)) )],[refute_22_178,refute_22_176]) ).
cnf(refute_22_180,plain,
( op(e2,e1) = e0
| op(e2,e1) = e1
| op(e2,e1) = e2
| op(e2,e1) = e3
| op(e2,e1) = e4 ),
inference(canonicalize,[],[normalize_22_31]) ).
cnf(refute_22_181,plain,
op(e2,e1) != op(e2,e2),
inference(canonicalize,[],[normalize_22_32]) ).
cnf(refute_22_182,plain,
( op(e2,e1) != e3
| op(e2,e2) != e3
| op(e2,e1) = op(e2,e2) ),
introduced(tautology,[equality,[$cnf( ~ $equal(op(e2,e1),op(e2,e2)) ),[1],$fot(e3)]]) ).
cnf(refute_22_183,plain,
( op(e2,e1) != e3
| op(e2,e1) = op(e2,e2) ),
inference(resolve,[$cnf( $equal(op(e2,e2),e3) )],[refute_22_41,refute_22_182]) ).
cnf(refute_22_184,plain,
op(e2,e1) != e3,
inference(resolve,[$cnf( $equal(op(e2,e1),op(e2,e2)) )],[refute_22_183,refute_22_181]) ).
cnf(refute_22_185,plain,
( op(e2,e1) = e0
| op(e2,e1) = e1
| op(e2,e1) = e2
| op(e2,e1) = e4 ),
inference(resolve,[$cnf( $equal(op(e2,e1),e3) )],[refute_22_180,refute_22_184]) ).
cnf(refute_22_186,plain,
op(e1,e1) != op(e2,e1),
inference(canonicalize,[],[normalize_22_33]) ).
cnf(refute_22_187,plain,
( e4 != op(e2,e1)
| op(e1,e1) != e4
| op(e1,e1) = op(e2,e1) ),
introduced(tautology,[equality,[$cnf( $equal(op(e1,e1),e4) ),[1],$fot(op(e2,e1))]]) ).
cnf(refute_22_188,plain,
( e4 != op(e2,e1)
| op(e1,e1) = op(e2,e1) ),
inference(resolve,[$cnf( $equal(op(e1,e1),e4) )],[refute_22_6,refute_22_187]) ).
cnf(refute_22_189,plain,
e4 != op(e2,e1),
inference(resolve,[$cnf( $equal(op(e1,e1),op(e2,e1)) )],[refute_22_188,refute_22_186]) ).
cnf(refute_22_190,plain,
( op(e2,e1) != e4
| e4 = op(e2,e1) ),
inference(subst,[],[refute_22_4:[bind(X,$fot(op(e2,e1))),bind(Y,$fot(e4))]]) ).
cnf(refute_22_191,plain,
op(e2,e1) != e4,
inference(resolve,[$cnf( $equal(e4,op(e2,e1)) )],[refute_22_190,refute_22_189]) ).
cnf(refute_22_192,plain,
( op(e2,e1) = e0
| op(e2,e1) = e1
| op(e2,e1) = e2 ),
inference(resolve,[$cnf( $equal(op(e2,e1),e4) )],[refute_22_185,refute_22_191]) ).
cnf(refute_22_193,plain,
( e1 != e1
| op(e2,e1) != e1
| e1 = op(e2,e1) ),
introduced(tautology,[equality,[$cnf( ~ $equal(e1,op(e2,e1)) ),[1],$fot(e1)]]) ).
cnf(refute_22_194,plain,
( e1 != e1
| e1 = op(e2,e1)
| op(e2,e1) = e0
| op(e2,e1) = e2 ),
inference(resolve,[$cnf( $equal(op(e2,e1),e1) )],[refute_22_192,refute_22_193]) ).
cnf(refute_22_195,plain,
( e1 != e1
| op(e2,e1) = e0
| op(e2,e1) = e2 ),
inference(resolve,[$cnf( $equal(e1,op(e2,e1)) )],[refute_22_194,refute_22_179]) ).
cnf(refute_22_196,plain,
e1 = e1,
introduced(tautology,[refl,[$fot(e1)]]) ).
cnf(refute_22_197,plain,
( op(e2,e1) = e0
| op(e2,e1) = e2 ),
inference(resolve,[$cnf( $equal(e1,e1) )],[refute_22_196,refute_22_195]) ).
cnf(refute_22_198,plain,
op(e2,e0) != op(e2,e1),
inference(canonicalize,[],[normalize_22_34]) ).
cnf(refute_22_199,plain,
op(e2,unit) = e2,
inference(canonicalize,[],[normalize_22_35]) ).
cnf(refute_22_200,plain,
op(e2,unit) = op(e2,unit),
introduced(tautology,[refl,[$fot(op(e2,unit))]]) ).
cnf(refute_22_201,plain,
( op(e2,unit) != op(e2,unit)
| unit != e0
| op(e2,unit) = op(e2,e0) ),
introduced(tautology,[equality,[$cnf( $equal(op(e2,unit),op(e2,unit)) ),[1,1],$fot(e0)]]) ).
cnf(refute_22_202,plain,
( unit != e0
| op(e2,unit) = op(e2,e0) ),
inference(resolve,[$cnf( $equal(op(e2,unit),op(e2,unit)) )],[refute_22_200,refute_22_201]) ).
cnf(refute_22_203,plain,
op(e2,unit) = op(e2,e0),
inference(resolve,[$cnf( $equal(unit,e0) )],[refute_22_165,refute_22_202]) ).
cnf(refute_22_204,plain,
( op(e2,unit) != e2
| op(e2,unit) != op(e2,e0)
| op(e2,e0) = e2 ),
introduced(tautology,[equality,[$cnf( $equal(op(e2,unit),e2) ),[0],$fot(op(e2,e0))]]) ).
cnf(refute_22_205,plain,
( op(e2,unit) != e2
| op(e2,e0) = e2 ),
inference(resolve,[$cnf( $equal(op(e2,unit),op(e2,e0)) )],[refute_22_203,refute_22_204]) ).
cnf(refute_22_206,plain,
op(e2,e0) = e2,
inference(resolve,[$cnf( $equal(op(e2,unit),e2) )],[refute_22_199,refute_22_205]) ).
cnf(refute_22_207,plain,
( e2 != op(e2,e1)
| op(e2,e0) != e2
| op(e2,e0) = op(e2,e1) ),
introduced(tautology,[equality,[$cnf( $equal(op(e2,e0),e2) ),[1],$fot(op(e2,e1))]]) ).
cnf(refute_22_208,plain,
( e2 != op(e2,e1)
| op(e2,e0) = op(e2,e1) ),
inference(resolve,[$cnf( $equal(op(e2,e0),e2) )],[refute_22_206,refute_22_207]) ).
cnf(refute_22_209,plain,
e2 != op(e2,e1),
inference(resolve,[$cnf( $equal(op(e2,e0),op(e2,e1)) )],[refute_22_208,refute_22_198]) ).
cnf(refute_22_210,plain,
( op(e2,e1) != e2
| e2 = op(e2,e1) ),
inference(subst,[],[refute_22_4:[bind(X,$fot(op(e2,e1))),bind(Y,$fot(e2))]]) ).
cnf(refute_22_211,plain,
op(e2,e1) != e2,
inference(resolve,[$cnf( $equal(e2,op(e2,e1)) )],[refute_22_210,refute_22_209]) ).
cnf(refute_22_212,plain,
op(e2,e1) = e0,
inference(resolve,[$cnf( $equal(op(e2,e1),e2) )],[refute_22_197,refute_22_211]) ).
cnf(refute_22_213,plain,
( op(e2,e1) != e0
| op(e2,e1) != e2
| e0 = e2 ),
introduced(tautology,[equality,[$cnf( $equal(op(e2,e1),e2) ),[0],$fot(e0)]]) ).
cnf(refute_22_214,plain,
( op(e2,e1) != e2
| e0 = e2 ),
inference(resolve,[$cnf( $equal(op(e2,e1),e0) )],[refute_22_212,refute_22_213]) ).
cnf(refute_22_215,plain,
( e0 = e2
| e1 = e2
| op(e3,e1) = e2
| op(e4,e1) = e2 ),
inference(resolve,[$cnf( $equal(op(e2,e1),e2) )],[refute_22_175,refute_22_214]) ).
cnf(refute_22_216,plain,
( e1 = e2
| op(e3,e1) = e2
| op(e4,e1) = e2 ),
inference(resolve,[$cnf( $equal(e0,e2) )],[refute_22_215,refute_22_64]) ).
cnf(refute_22_217,plain,
( op(e3,e1) = e2
| op(e4,e1) = e2 ),
inference(resolve,[$cnf( $equal(e1,e2) )],[refute_22_216,refute_22_136]) ).
cnf(refute_22_218,plain,
op(e4,e1) != op(e4,e4),
inference(canonicalize,[],[normalize_22_36]) ).
cnf(refute_22_219,plain,
( op(e4,e1) != e2
| op(e4,e4) != e2
| op(e4,e1) = op(e4,e4) ),
introduced(tautology,[equality,[$cnf( ~ $equal(op(e4,e1),op(e4,e4)) ),[1],$fot(e2)]]) ).
cnf(refute_22_220,plain,
( op(e4,e1) != e2
| op(e4,e1) = op(e4,e4) ),
inference(resolve,[$cnf( $equal(op(e4,e4),e2) )],[refute_22_60,refute_22_219]) ).
cnf(refute_22_221,plain,
op(e4,e1) != e2,
inference(resolve,[$cnf( $equal(op(e4,e1),op(e4,e4)) )],[refute_22_220,refute_22_218]) ).
cnf(refute_22_222,plain,
op(e3,e1) = e2,
inference(resolve,[$cnf( $equal(op(e4,e1),e2) )],[refute_22_217,refute_22_221]) ).
cnf(refute_22_223,plain,
( op(e0,e2) = e1
| op(e1,e2) = e1
| op(e2,e2) = e1
| op(e3,e2) = e1
| op(e4,e2) = e1 ),
inference(canonicalize,[],[normalize_22_37]) ).
cnf(refute_22_224,plain,
( e3 = e1
| op(e0,e2) = e1
| op(e1,e2) = e1
| op(e3,e2) = e1
| op(e4,e2) = e1 ),
inference(resolve,[$cnf( $equal(op(e2,e2),e1) )],[refute_22_223,refute_22_131]) ).
cnf(refute_22_225,plain,
( op(e0,e2) = e1
| op(e1,e2) = e1
| op(e3,e2) = e1
| op(e4,e2) = e1 ),
inference(resolve,[$cnf( $equal(e3,e1) )],[refute_22_224,refute_22_142]) ).
cnf(refute_22_226,plain,
op(unit,e2) = op(unit,e2),
introduced(tautology,[refl,[$fot(op(unit,e2))]]) ).
cnf(refute_22_227,plain,
( op(unit,e2) != op(unit,e2)
| unit != e0
| op(unit,e2) = op(e0,e2) ),
introduced(tautology,[equality,[$cnf( $equal(op(unit,e2),op(unit,e2)) ),[1,0],$fot(e0)]]) ).
cnf(refute_22_228,plain,
( unit != e0
| op(unit,e2) = op(e0,e2) ),
inference(resolve,[$cnf( $equal(op(unit,e2),op(unit,e2)) )],[refute_22_226,refute_22_227]) ).
cnf(refute_22_229,plain,
op(unit,e2) = op(e0,e2),
inference(resolve,[$cnf( $equal(unit,e0) )],[refute_22_165,refute_22_228]) ).
cnf(refute_22_230,plain,
( op(unit,e2) != e2
| op(unit,e2) != op(e0,e2)
| op(e0,e2) = e2 ),
introduced(tautology,[equality,[$cnf( $equal(op(unit,e2),e2) ),[0],$fot(op(e0,e2))]]) ).
cnf(refute_22_231,plain,
( op(unit,e2) != e2
| op(e0,e2) = e2 ),
inference(resolve,[$cnf( $equal(op(unit,e2),op(e0,e2)) )],[refute_22_229,refute_22_230]) ).
cnf(refute_22_232,plain,
op(e0,e2) = e2,
inference(resolve,[$cnf( $equal(op(unit,e2),e2) )],[refute_22_80,refute_22_231]) ).
cnf(refute_22_233,plain,
( op(e0,e2) != e1
| op(e0,e2) != e2
| e2 = e1 ),
introduced(tautology,[equality,[$cnf( $equal(op(e0,e2),e1) ),[0],$fot(e2)]]) ).
cnf(refute_22_234,plain,
( op(e0,e2) != e1
| e2 = e1 ),
inference(resolve,[$cnf( $equal(op(e0,e2),e2) )],[refute_22_232,refute_22_233]) ).
cnf(refute_22_235,plain,
( e2 = e1
| op(e1,e2) = e1
| op(e3,e2) = e1
| op(e4,e2) = e1 ),
inference(resolve,[$cnf( $equal(op(e0,e2),e1) )],[refute_22_225,refute_22_234]) ).
cnf(refute_22_236,plain,
( op(e1,e2) != e0
| op(e1,e2) != e1
| e0 = e1 ),
introduced(tautology,[equality,[$cnf( $equal(op(e1,e2),e1) ),[0],$fot(e0)]]) ).
cnf(refute_22_237,plain,
( op(e1,e2) != e1
| e0 = e1 ),
inference(resolve,[$cnf( $equal(op(e1,e2),e0) )],[refute_22_94,refute_22_236]) ).
cnf(refute_22_238,plain,
( e0 = e1
| e2 = e1
| op(e3,e2) = e1
| op(e4,e2) = e1 ),
inference(resolve,[$cnf( $equal(op(e1,e2),e1) )],[refute_22_235,refute_22_237]) ).
cnf(refute_22_239,plain,
( e2 = e1
| op(e3,e2) = e1
| op(e4,e2) = e1 ),
inference(resolve,[$cnf( $equal(e0,e1) )],[refute_22_238,refute_22_151]) ).
cnf(refute_22_240,plain,
( op(e3,e2) = e1
| op(e4,e2) = e1 ),
inference(resolve,[$cnf( $equal(e2,e1) )],[refute_22_239,refute_22_138]) ).
cnf(refute_22_241,plain,
op(e3,e2) != op(e3,e3),
inference(canonicalize,[],[normalize_22_38]) ).
cnf(refute_22_242,plain,
op(e0,unit) = e0,
inference(canonicalize,[],[normalize_22_39]) ).
cnf(refute_22_243,plain,
op(e0,unit) = op(e0,unit),
introduced(tautology,[refl,[$fot(op(e0,unit))]]) ).
cnf(refute_22_244,plain,
( op(e0,unit) != op(e0,unit)
| unit != e0
| op(e0,unit) = op(e0,e0) ),
introduced(tautology,[equality,[$cnf( $equal(op(e0,unit),op(e0,unit)) ),[1,1],$fot(e0)]]) ).
cnf(refute_22_245,plain,
( unit != e0
| op(e0,unit) = op(e0,e0) ),
inference(resolve,[$cnf( $equal(op(e0,unit),op(e0,unit)) )],[refute_22_243,refute_22_244]) ).
cnf(refute_22_246,plain,
op(e0,unit) = op(e0,e0),
inference(resolve,[$cnf( $equal(unit,e0) )],[refute_22_165,refute_22_245]) ).
cnf(refute_22_247,plain,
( op(e0,unit) != e0
| op(e0,unit) != op(e0,e0)
| op(e0,e0) = e0 ),
introduced(tautology,[equality,[$cnf( $equal(op(e0,unit),e0) ),[0],$fot(op(e0,e0))]]) ).
cnf(refute_22_248,plain,
( op(e0,unit) != e0
| op(e0,e0) = e0 ),
inference(resolve,[$cnf( $equal(op(e0,unit),op(e0,e0)) )],[refute_22_246,refute_22_247]) ).
cnf(refute_22_249,plain,
op(e0,e0) = e0,
inference(resolve,[$cnf( $equal(op(e0,unit),e0) )],[refute_22_242,refute_22_248]) ).
cnf(refute_22_250,plain,
( op(e0,e0) != e0
| op(e0,e0) != e1
| e0 = e1 ),
introduced(tautology,[equality,[$cnf( $equal(op(e0,e0),e1) ),[0],$fot(e0)]]) ).
cnf(refute_22_251,plain,
( op(e0,e0) != e1
| e0 = e1 ),
inference(resolve,[$cnf( $equal(op(e0,e0),e0) )],[refute_22_249,refute_22_250]) ).
cnf(refute_22_252,plain,
( e0 = e1
| op(e3,e3) = e1 ),
inference(resolve,[$cnf( $equal(op(e0,e0),e1) )],[refute_22_147,refute_22_251]) ).
cnf(refute_22_253,plain,
op(e3,e3) = e1,
inference(resolve,[$cnf( $equal(e0,e1) )],[refute_22_252,refute_22_151]) ).
cnf(refute_22_254,plain,
( op(e3,e2) != e1
| op(e3,e3) != e1
| op(e3,e2) = op(e3,e3) ),
introduced(tautology,[equality,[$cnf( ~ $equal(op(e3,e2),op(e3,e3)) ),[1],$fot(e1)]]) ).
cnf(refute_22_255,plain,
( op(e3,e2) != e1
| op(e3,e2) = op(e3,e3) ),
inference(resolve,[$cnf( $equal(op(e3,e3),e1) )],[refute_22_253,refute_22_254]) ).
cnf(refute_22_256,plain,
op(e3,e2) != e1,
inference(resolve,[$cnf( $equal(op(e3,e2),op(e3,e3)) )],[refute_22_255,refute_22_241]) ).
cnf(refute_22_257,plain,
op(e4,e2) = e1,
inference(resolve,[$cnf( $equal(op(e3,e2),e1) )],[refute_22_240,refute_22_256]) ).
cnf(refute_22_258,plain,
op(op(e4,e2),e2) = e4,
inference(canonicalize,[],[normalize_22_40]) ).
cnf(refute_22_259,plain,
op(op(e4,e2),e2) = op(op(e4,e2),e2),
introduced(tautology,[refl,[$fot(op(op(e4,e2),e2))]]) ).
cnf(refute_22_260,plain,
( op(e4,e2) != e1
| op(op(e4,e2),e2) != op(op(e4,e2),e2)
| op(op(e4,e2),e2) = op(e1,e2) ),
introduced(tautology,[equality,[$cnf( $equal(op(op(e4,e2),e2),op(op(e4,e2),e2)) ),[1,0],$fot(e1)]]) ).
cnf(refute_22_261,plain,
( op(e4,e2) != e1
| op(op(e4,e2),e2) = op(e1,e2) ),
inference(resolve,[$cnf( $equal(op(op(e4,e2),e2),op(op(e4,e2),e2)) )],[refute_22_259,refute_22_260]) ).
cnf(refute_22_262,plain,
op(op(e4,e2),e2) = op(e1,e2),
inference(resolve,[$cnf( $equal(op(e4,e2),e1) )],[refute_22_257,refute_22_261]) ).
cnf(refute_22_263,plain,
( op(e1,e2) != e0
| op(op(e4,e2),e2) != op(e1,e2)
| op(op(e4,e2),e2) = e0 ),
inference(subst,[],[refute_22_33:[bind(X,$fot(op(op(e4,e2),e2))),bind(Y,$fot(op(e1,e2))),bind(Z,$fot(e0))]]) ).
cnf(refute_22_264,plain,
( op(e1,e2) != e0
| op(op(e4,e2),e2) = e0 ),
inference(resolve,[$cnf( $equal(op(op(e4,e2),e2),op(e1,e2)) )],[refute_22_262,refute_22_263]) ).
cnf(refute_22_265,plain,
op(op(e4,e2),e2) = e0,
inference(resolve,[$cnf( $equal(op(e1,e2),e0) )],[refute_22_94,refute_22_264]) ).
cnf(refute_22_266,plain,
( op(op(e4,e2),e2) != e0
| op(op(e4,e2),e2) != e4
| e0 = e4 ),
introduced(tautology,[equality,[$cnf( $equal(op(op(e4,e2),e2),e4) ),[0],$fot(e0)]]) ).
cnf(refute_22_267,plain,
( op(op(e4,e2),e2) != e4
| e0 = e4 ),
inference(resolve,[$cnf( $equal(op(op(e4,e2),e2),e0) )],[refute_22_265,refute_22_266]) ).
cnf(refute_22_268,plain,
e0 = e4,
inference(resolve,[$cnf( $equal(op(op(e4,e2),e2),e4) )],[refute_22_258,refute_22_267]) ).
cnf(refute_22_269,plain,
( e0 != e4
| e4 = e0 ),
inference(subst,[],[refute_22_4:[bind(X,$fot(e0)),bind(Y,$fot(e4))]]) ).
cnf(refute_22_270,plain,
e4 = e0,
inference(resolve,[$cnf( $equal(e0,e4) )],[refute_22_268,refute_22_269]) ).
cnf(refute_22_271,plain,
op(e4,e2) = op(e4,e2),
introduced(tautology,[refl,[$fot(op(e4,e2))]]) ).
cnf(refute_22_272,plain,
( e4 != e0
| op(e4,e2) != op(e4,e2)
| op(e4,e2) = op(e0,e2) ),
introduced(tautology,[equality,[$cnf( $equal(op(e4,e2),op(e4,e2)) ),[1,0],$fot(e0)]]) ).
cnf(refute_22_273,plain,
( e4 != e0
| op(e4,e2) = op(e0,e2) ),
inference(resolve,[$cnf( $equal(op(e4,e2),op(e4,e2)) )],[refute_22_271,refute_22_272]) ).
cnf(refute_22_274,plain,
op(e4,e2) = op(e0,e2),
inference(resolve,[$cnf( $equal(e4,e0) )],[refute_22_270,refute_22_273]) ).
cnf(refute_22_275,plain,
( op(e0,e2) != e2
| op(e4,e2) != op(e0,e2)
| op(e4,e2) = e2 ),
inference(subst,[],[refute_22_33:[bind(X,$fot(op(e4,e2))),bind(Y,$fot(op(e0,e2))),bind(Z,$fot(e2))]]) ).
cnf(refute_22_276,plain,
( op(e0,e2) != e2
| op(e4,e2) = e2 ),
inference(resolve,[$cnf( $equal(op(e4,e2),op(e0,e2)) )],[refute_22_274,refute_22_275]) ).
cnf(refute_22_277,plain,
op(e4,e2) = e2,
inference(resolve,[$cnf( $equal(op(e0,e2),e2) )],[refute_22_232,refute_22_276]) ).
cnf(refute_22_278,plain,
( op(e4,e2) != e1
| op(e4,e2) != e2
| e2 = e1 ),
introduced(tautology,[equality,[$cnf( $equal(op(e4,e2),e1) ),[0],$fot(e2)]]) ).
cnf(refute_22_279,plain,
( op(e4,e2) != e1
| e2 = e1 ),
inference(resolve,[$cnf( $equal(op(e4,e2),e2) )],[refute_22_277,refute_22_278]) ).
cnf(refute_22_280,plain,
e2 = e1,
inference(resolve,[$cnf( $equal(op(e4,e2),e1) )],[refute_22_257,refute_22_279]) ).
cnf(refute_22_281,plain,
( e2 != e1
| op(e3,e1) != e2
| op(e3,e1) = e1 ),
introduced(tautology,[equality,[$cnf( $equal(op(e3,e1),e2) ),[1],$fot(e1)]]) ).
cnf(refute_22_282,plain,
( op(e3,e1) != e2
| op(e3,e1) = e1 ),
inference(resolve,[$cnf( $equal(e2,e1) )],[refute_22_280,refute_22_281]) ).
cnf(refute_22_283,plain,
op(e3,e1) = e1,
inference(resolve,[$cnf( $equal(op(e3,e1),e2) )],[refute_22_222,refute_22_282]) ).
cnf(refute_22_284,plain,
op(e3,unit) = e3,
inference(canonicalize,[],[normalize_22_41]) ).
cnf(refute_22_285,plain,
op(e3,unit) = op(e3,unit),
introduced(tautology,[refl,[$fot(op(e3,unit))]]) ).
cnf(refute_22_286,plain,
( op(e3,unit) != op(e3,unit)
| unit != e0
| op(e3,unit) = op(e3,e0) ),
introduced(tautology,[equality,[$cnf( $equal(op(e3,unit),op(e3,unit)) ),[1,1],$fot(e0)]]) ).
cnf(refute_22_287,plain,
( unit != e0
| op(e3,unit) = op(e3,e0) ),
inference(resolve,[$cnf( $equal(op(e3,unit),op(e3,unit)) )],[refute_22_285,refute_22_286]) ).
cnf(refute_22_288,plain,
op(e3,unit) = op(e3,e0),
inference(resolve,[$cnf( $equal(unit,e0) )],[refute_22_165,refute_22_287]) ).
cnf(refute_22_289,plain,
( op(e3,unit) != e3
| op(e3,unit) != op(e3,e0)
| op(e3,e0) = e3 ),
introduced(tautology,[equality,[$cnf( $equal(op(e3,unit),e3) ),[0],$fot(op(e3,e0))]]) ).
cnf(refute_22_290,plain,
( op(e3,unit) != e3
| op(e3,e0) = e3 ),
inference(resolve,[$cnf( $equal(op(e3,unit),op(e3,e0)) )],[refute_22_288,refute_22_289]) ).
cnf(refute_22_291,plain,
op(e3,e0) = e3,
inference(resolve,[$cnf( $equal(op(e3,unit),e3) )],[refute_22_284,refute_22_290]) ).
cnf(refute_22_292,plain,
( e2 != e1
| e2 != op(e4,e4)
| e1 = op(e4,e4) ),
introduced(tautology,[equality,[$cnf( $equal(e2,op(e4,e4)) ),[0],$fot(e1)]]) ).
cnf(refute_22_293,plain,
( e2 != op(e4,e4)
| e1 = op(e4,e4) ),
inference(resolve,[$cnf( $equal(e2,e1) )],[refute_22_280,refute_22_292]) ).
cnf(refute_22_294,plain,
op(e0,e4) = op(e0,e4),
introduced(tautology,[refl,[$fot(op(e0,e4))]]) ).
cnf(refute_22_295,plain,
( e4 != e0
| op(e0,e4) != op(e0,e4)
| op(e0,e4) = op(e0,e0) ),
introduced(tautology,[equality,[$cnf( $equal(op(e0,e4),op(e0,e4)) ),[1,1],$fot(e0)]]) ).
cnf(refute_22_296,plain,
( e4 != e0
| op(e0,e4) = op(e0,e0) ),
inference(resolve,[$cnf( $equal(op(e0,e4),op(e0,e4)) )],[refute_22_294,refute_22_295]) ).
cnf(refute_22_297,plain,
op(e0,e4) = op(e0,e0),
inference(resolve,[$cnf( $equal(e4,e0) )],[refute_22_270,refute_22_296]) ).
cnf(refute_22_298,plain,
op(e4,e4) = op(e4,e4),
introduced(tautology,[refl,[$fot(op(e4,e4))]]) ).
cnf(refute_22_299,plain,
( e4 != e0
| op(e4,e4) != op(e4,e4)
| op(e4,e4) = op(e0,e4) ),
introduced(tautology,[equality,[$cnf( $equal(op(e4,e4),op(e4,e4)) ),[1,0],$fot(e0)]]) ).
cnf(refute_22_300,plain,
( e4 != e0
| op(e4,e4) = op(e0,e4) ),
inference(resolve,[$cnf( $equal(op(e4,e4),op(e4,e4)) )],[refute_22_298,refute_22_299]) ).
cnf(refute_22_301,plain,
op(e4,e4) = op(e0,e4),
inference(resolve,[$cnf( $equal(e4,e0) )],[refute_22_270,refute_22_300]) ).
cnf(refute_22_302,plain,
( op(e0,e4) != op(e0,e0)
| op(e4,e4) != op(e0,e4)
| op(e4,e4) = op(e0,e0) ),
inference(subst,[],[refute_22_33:[bind(X,$fot(op(e4,e4))),bind(Y,$fot(op(e0,e4))),bind(Z,$fot(op(e0,e0)))]]) ).
cnf(refute_22_303,plain,
( op(e0,e4) != op(e0,e0)
| op(e4,e4) = op(e0,e0) ),
inference(resolve,[$cnf( $equal(op(e4,e4),op(e0,e4)) )],[refute_22_301,refute_22_302]) ).
cnf(refute_22_304,plain,
op(e4,e4) = op(e0,e0),
inference(resolve,[$cnf( $equal(op(e0,e4),op(e0,e0)) )],[refute_22_297,refute_22_303]) ).
cnf(refute_22_305,plain,
( op(e0,e0) != e0
| op(e4,e4) != op(e0,e0)
| op(e4,e4) = e0 ),
inference(subst,[],[refute_22_33:[bind(X,$fot(op(e4,e4))),bind(Y,$fot(op(e0,e0))),bind(Z,$fot(e0))]]) ).
cnf(refute_22_306,plain,
( op(e0,e0) != e0
| op(e4,e4) = e0 ),
inference(resolve,[$cnf( $equal(op(e4,e4),op(e0,e0)) )],[refute_22_304,refute_22_305]) ).
cnf(refute_22_307,plain,
op(e4,e4) = e0,
inference(resolve,[$cnf( $equal(op(e0,e0),e0) )],[refute_22_249,refute_22_306]) ).
cnf(refute_22_308,plain,
( e1 != op(e4,e4)
| op(e4,e4) != e0
| e1 = e0 ),
introduced(tautology,[equality,[$cnf( ~ $equal(e1,e0) ),[0],$fot(op(e4,e4))]]) ).
cnf(refute_22_309,plain,
( e1 != op(e4,e4)
| e1 = e0 ),
inference(resolve,[$cnf( $equal(op(e4,e4),e0) )],[refute_22_307,refute_22_308]) ).
cnf(refute_22_310,plain,
( e2 != op(e4,e4)
| e1 = e0 ),
inference(resolve,[$cnf( $equal(e1,op(e4,e4)) )],[refute_22_293,refute_22_309]) ).
cnf(refute_22_311,plain,
e1 = e0,
inference(resolve,[$cnf( $equal(e2,op(e4,e4)) )],[refute_22_58,refute_22_310]) ).
cnf(refute_22_312,plain,
op(e3,e1) = op(e3,e1),
introduced(tautology,[refl,[$fot(op(e3,e1))]]) ).
cnf(refute_22_313,plain,
( e1 != e0
| op(e3,e1) != op(e3,e1)
| op(e3,e1) = op(e3,e0) ),
introduced(tautology,[equality,[$cnf( $equal(op(e3,e1),op(e3,e1)) ),[1,1],$fot(e0)]]) ).
cnf(refute_22_314,plain,
( e1 != e0
| op(e3,e1) = op(e3,e0) ),
inference(resolve,[$cnf( $equal(op(e3,e1),op(e3,e1)) )],[refute_22_312,refute_22_313]) ).
cnf(refute_22_315,plain,
op(e3,e1) = op(e3,e0),
inference(resolve,[$cnf( $equal(e1,e0) )],[refute_22_311,refute_22_314]) ).
cnf(refute_22_316,plain,
( op(e3,e0) != e3
| op(e3,e1) != op(e3,e0)
| op(e3,e1) = e3 ),
inference(subst,[],[refute_22_33:[bind(X,$fot(op(e3,e1))),bind(Y,$fot(op(e3,e0))),bind(Z,$fot(e3))]]) ).
cnf(refute_22_317,plain,
( op(e3,e0) != e3
| op(e3,e1) = e3 ),
inference(resolve,[$cnf( $equal(op(e3,e1),op(e3,e0)) )],[refute_22_315,refute_22_316]) ).
cnf(refute_22_318,plain,
op(e3,e1) = e3,
inference(resolve,[$cnf( $equal(op(e3,e0),e3) )],[refute_22_291,refute_22_317]) ).
cnf(refute_22_319,plain,
( op(e3,e1) != e1
| op(e3,e1) != e3
| e3 = e1 ),
introduced(tautology,[equality,[$cnf( $equal(op(e3,e1),e1) ),[0],$fot(e3)]]) ).
cnf(refute_22_320,plain,
( op(e3,e1) != e1
| e3 = e1 ),
inference(resolve,[$cnf( $equal(op(e3,e1),e3) )],[refute_22_318,refute_22_319]) ).
cnf(refute_22_321,plain,
( e1 != e0
| e3 != e1
| e3 = e0 ),
introduced(tautology,[equality,[$cnf( $equal(e3,e1) ),[1],$fot(e0)]]) ).
cnf(refute_22_322,plain,
( e3 != e1
| e3 = e0 ),
inference(resolve,[$cnf( $equal(e1,e0) )],[refute_22_311,refute_22_321]) ).
cnf(refute_22_323,plain,
( op(e3,e1) != e1
| e3 = e0 ),
inference(resolve,[$cnf( $equal(e3,e1) )],[refute_22_320,refute_22_322]) ).
cnf(refute_22_324,plain,
e3 = e0,
inference(resolve,[$cnf( $equal(op(e3,e1),e1) )],[refute_22_283,refute_22_323]) ).
cnf(refute_22_325,plain,
$false,
inference(resolve,[$cnf( $equal(e3,e0) )],[refute_22_324,refute_22_70]) ).
fof(negate_23_0,plain,
~ ( ( ( op(e0,e0) = e0
| op(e1,e1) = e0
| op(e2,e2) = e0
| op(e3,e3) = e0
| op(e4,e4) = e0 )
& ( op(e0,e0) = e1
| op(e1,e1) = e1
| op(e2,e2) = e1
| op(e3,e3) = e1
| op(e4,e4) = e1 )
& ( op(e0,e0) = e2
| op(e1,e1) = e2
| op(e2,e2) = e2
| op(e3,e3) = e2
| op(e4,e4) = e2 )
& ( op(e0,e0) = e3
| op(e1,e1) = e3
| op(e2,e2) = e3
| op(e3,e3) = e3
| op(e4,e4) = e3 )
& ( op(e0,e0) = e4
| op(e1,e1) = e4
| op(e2,e2) = e4
| op(e3,e3) = e4
| op(e4,e4) = e4 )
& ~ ( op(e0,e0) != op(e0,e0)
& op(op(e0,e0),e0) = e0
& op(op(e0,e0),e0) != e0 )
& ~ ( op(e1,e0) != op(e0,e1)
& op(op(e0,e1),e1) = e0
& op(op(e0,e1),e0) != e1 )
& ~ ( op(e2,e0) != op(e0,e2)
& op(op(e0,e2),e2) = e0
& op(op(e0,e2),e0) != e2 )
& ~ ( op(e3,e0) != op(e0,e3)
& op(op(e0,e3),e3) = e0
& op(op(e0,e3),e0) != e3 )
& ~ ( op(e4,e0) != op(e0,e4)
& op(op(e0,e4),e4) = e0
& op(op(e0,e4),e0) != e4 )
& ~ ( op(e0,e1) != op(e1,e0)
& op(op(e1,e0),e0) = e1
& op(op(e1,e0),e1) != e0 )
& ~ ( op(e1,e1) != op(e1,e1)
& op(op(e1,e1),e1) = e1
& op(op(e1,e1),e1) != e1 )
& ~ ( op(e2,e1) != op(e1,e2)
& op(op(e1,e2),e2) = e1
& op(op(e1,e2),e1) != e2 )
& ~ ( op(e3,e1) != op(e1,e3)
& op(op(e1,e3),e3) = e1
& op(op(e1,e3),e1) != e3 )
& ~ ( op(e4,e1) != op(e1,e4)
& op(op(e1,e4),e4) = e1
& op(op(e1,e4),e1) != e4 )
& ~ ( op(e0,e2) != op(e2,e0)
& op(op(e2,e0),e0) = e2
& op(op(e2,e0),e2) != e0 )
& ~ ( op(e1,e2) != op(e2,e1)
& op(op(e2,e1),e1) = e2
& op(op(e2,e1),e2) != e1 )
& ~ ( op(e2,e2) != op(e2,e2)
& op(op(e2,e2),e2) = e2
& op(op(e2,e2),e2) != e2 )
& ~ ( op(e3,e2) != op(e2,e3)
& op(op(e2,e3),e3) = e2
& op(op(e2,e3),e2) != e3 )
& ~ ( op(e4,e2) != op(e2,e4)
& op(op(e2,e4),e4) = e2
& op(op(e2,e4),e2) != e4 )
& ~ ( op(e0,e3) != op(e3,e0)
& op(op(e3,e0),e0) = e3
& op(op(e3,e0),e3) != e0 )
& ~ ( op(e1,e3) != op(e3,e1)
& op(op(e3,e1),e1) = e3
& op(op(e3,e1),e3) != e1 )
& ~ ( op(e2,e3) != op(e3,e2)
& op(op(e3,e2),e2) = e3
& op(op(e3,e2),e3) != e2 )
& ~ ( op(e3,e3) != op(e3,e3)
& op(op(e3,e3),e3) = e3
& op(op(e3,e3),e3) != e3 )
& ~ ( op(e4,e3) != op(e3,e4)
& op(op(e3,e4),e4) = e3
& op(op(e3,e4),e3) != e4 )
& ~ ( op(e0,e4) != op(e4,e0)
& op(op(e4,e0),e0) = e4
& op(op(e4,e0),e4) != e0 )
& ~ ( op(e1,e4) != op(e4,e1)
& op(op(e4,e1),e1) = e4
& op(op(e4,e1),e4) != e1 )
& ~ ( op(e2,e4) != op(e4,e2)
& op(op(e4,e2),e2) = e4
& op(op(e4,e2),e4) != e2 )
& op(e3,e4) != op(e4,e3)
& op(op(e4,e3),e3) = e4 )
=> op(op(e4,e3),e4) = e3 ),
inference(negate,[],[subgoal_23]) ).
fof(normalize_23_0,plain,
( ( op(e0,e0) = e0
| op(e0,e0) = e1
| op(e0,e0) = e2
| op(e0,e0) = e3
| op(e0,e0) = e4 )
& ( op(e0,e1) = e0
| op(e0,e1) = e1
| op(e0,e1) = e2
| op(e0,e1) = e3
| op(e0,e1) = e4 )
& ( op(e0,e2) = e0
| op(e0,e2) = e1
| op(e0,e2) = e2
| op(e0,e2) = e3
| op(e0,e2) = e4 )
& ( op(e0,e3) = e0
| op(e0,e3) = e1
| op(e0,e3) = e2
| op(e0,e3) = e3
| op(e0,e3) = e4 )
& ( op(e0,e4) = e0
| op(e0,e4) = e1
| op(e0,e4) = e2
| op(e0,e4) = e3
| op(e0,e4) = e4 )
& ( op(e1,e0) = e0
| op(e1,e0) = e1
| op(e1,e0) = e2
| op(e1,e0) = e3
| op(e1,e0) = e4 )
& ( op(e1,e1) = e0
| op(e1,e1) = e1
| op(e1,e1) = e2
| op(e1,e1) = e3
| op(e1,e1) = e4 )
& ( op(e1,e2) = e0
| op(e1,e2) = e1
| op(e1,e2) = e2
| op(e1,e2) = e3
| op(e1,e2) = e4 )
& ( op(e1,e3) = e0
| op(e1,e3) = e1
| op(e1,e3) = e2
| op(e1,e3) = e3
| op(e1,e3) = e4 )
& ( op(e1,e4) = e0
| op(e1,e4) = e1
| op(e1,e4) = e2
| op(e1,e4) = e3
| op(e1,e4) = e4 )
& ( op(e2,e0) = e0
| op(e2,e0) = e1
| op(e2,e0) = e2
| op(e2,e0) = e3
| op(e2,e0) = e4 )
& ( op(e2,e1) = e0
| op(e2,e1) = e1
| op(e2,e1) = e2
| op(e2,e1) = e3
| op(e2,e1) = e4 )
& ( op(e2,e2) = e0
| op(e2,e2) = e1
| op(e2,e2) = e2
| op(e2,e2) = e3
| op(e2,e2) = e4 )
& ( op(e2,e3) = e0
| op(e2,e3) = e1
| op(e2,e3) = e2
| op(e2,e3) = e3
| op(e2,e3) = e4 )
& ( op(e2,e4) = e0
| op(e2,e4) = e1
| op(e2,e4) = e2
| op(e2,e4) = e3
| op(e2,e4) = e4 )
& ( op(e3,e0) = e0
| op(e3,e0) = e1
| op(e3,e0) = e2
| op(e3,e0) = e3
| op(e3,e0) = e4 )
& ( op(e3,e1) = e0
| op(e3,e1) = e1
| op(e3,e1) = e2
| op(e3,e1) = e3
| op(e3,e1) = e4 )
& ( op(e3,e2) = e0
| op(e3,e2) = e1
| op(e3,e2) = e2
| op(e3,e2) = e3
| op(e3,e2) = e4 )
& ( op(e3,e3) = e0
| op(e3,e3) = e1
| op(e3,e3) = e2
| op(e3,e3) = e3
| op(e3,e3) = e4 )
& ( op(e3,e4) = e0
| op(e3,e4) = e1
| op(e3,e4) = e2
| op(e3,e4) = e3
| op(e3,e4) = e4 )
& ( op(e4,e0) = e0
| op(e4,e0) = e1
| op(e4,e0) = e2
| op(e4,e0) = e3
| op(e4,e0) = e4 )
& ( op(e4,e1) = e0
| op(e4,e1) = e1
| op(e4,e1) = e2
| op(e4,e1) = e3
| op(e4,e1) = e4 )
& ( op(e4,e2) = e0
| op(e4,e2) = e1
| op(e4,e2) = e2
| op(e4,e2) = e3
| op(e4,e2) = e4 )
& ( op(e4,e3) = e0
| op(e4,e3) = e1
| op(e4,e3) = e2
| op(e4,e3) = e3
| op(e4,e3) = e4 )
& ( op(e4,e4) = e0
| op(e4,e4) = e1
| op(e4,e4) = e2
| op(e4,e4) = e3
| op(e4,e4) = e4 ) ),
inference(canonicalize,[],[ax1]) ).
fof(normalize_23_1,plain,
( op(e1,e3) = e0
| op(e1,e3) = e1
| op(e1,e3) = e2
| op(e1,e3) = e3
| op(e1,e3) = e4 ),
inference(conjunct,[],[normalize_23_0]) ).
fof(normalize_23_2,plain,
( op(e0,e0) != op(e0,e1)
& op(e0,e0) != op(e0,e2)
& op(e0,e0) != op(e0,e3)
& op(e0,e0) != op(e0,e4)
& op(e0,e0) != op(e1,e0)
& op(e0,e0) != op(e2,e0)
& op(e0,e0) != op(e3,e0)
& op(e0,e0) != op(e4,e0)
& op(e0,e1) != op(e0,e2)
& op(e0,e1) != op(e0,e3)
& op(e0,e1) != op(e0,e4)
& op(e0,e1) != op(e1,e1)
& op(e0,e1) != op(e2,e1)
& op(e0,e1) != op(e3,e1)
& op(e0,e1) != op(e4,e1)
& op(e0,e2) != op(e0,e3)
& op(e0,e2) != op(e0,e4)
& op(e0,e2) != op(e1,e2)
& op(e0,e2) != op(e2,e2)
& op(e0,e2) != op(e3,e2)
& op(e0,e2) != op(e4,e2)
& op(e0,e3) != op(e0,e4)
& op(e0,e3) != op(e1,e3)
& op(e0,e3) != op(e2,e3)
& op(e0,e3) != op(e3,e3)
& op(e0,e3) != op(e4,e3)
& op(e0,e4) != op(e1,e4)
& op(e0,e4) != op(e2,e4)
& op(e0,e4) != op(e3,e4)
& op(e0,e4) != op(e4,e4)
& op(e1,e0) != op(e1,e1)
& op(e1,e0) != op(e1,e2)
& op(e1,e0) != op(e1,e3)
& op(e1,e0) != op(e1,e4)
& op(e1,e0) != op(e2,e0)
& op(e1,e0) != op(e3,e0)
& op(e1,e0) != op(e4,e0)
& op(e1,e1) != op(e1,e2)
& op(e1,e1) != op(e1,e3)
& op(e1,e1) != op(e1,e4)
& op(e1,e1) != op(e2,e1)
& op(e1,e1) != op(e3,e1)
& op(e1,e1) != op(e4,e1)
& op(e1,e2) != op(e1,e3)
& op(e1,e2) != op(e1,e4)
& op(e1,e2) != op(e2,e2)
& op(e1,e2) != op(e3,e2)
& op(e1,e2) != op(e4,e2)
& op(e1,e3) != op(e1,e4)
& op(e1,e3) != op(e2,e3)
& op(e1,e3) != op(e3,e3)
& op(e1,e3) != op(e4,e3)
& op(e1,e4) != op(e2,e4)
& op(e1,e4) != op(e3,e4)
& op(e1,e4) != op(e4,e4)
& op(e2,e0) != op(e2,e1)
& op(e2,e0) != op(e2,e2)
& op(e2,e0) != op(e2,e3)
& op(e2,e0) != op(e2,e4)
& op(e2,e0) != op(e3,e0)
& op(e2,e0) != op(e4,e0)
& op(e2,e1) != op(e2,e2)
& op(e2,e1) != op(e2,e3)
& op(e2,e1) != op(e2,e4)
& op(e2,e1) != op(e3,e1)
& op(e2,e1) != op(e4,e1)
& op(e2,e2) != op(e2,e3)
& op(e2,e2) != op(e2,e4)
& op(e2,e2) != op(e3,e2)
& op(e2,e2) != op(e4,e2)
& op(e2,e3) != op(e2,e4)
& op(e2,e3) != op(e3,e3)
& op(e2,e3) != op(e4,e3)
& op(e2,e4) != op(e3,e4)
& op(e2,e4) != op(e4,e4)
& op(e3,e0) != op(e3,e1)
& op(e3,e0) != op(e3,e2)
& op(e3,e0) != op(e3,e3)
& op(e3,e0) != op(e3,e4)
& op(e3,e0) != op(e4,e0)
& op(e3,e1) != op(e3,e2)
& op(e3,e1) != op(e3,e3)
& op(e3,e1) != op(e3,e4)
& op(e3,e1) != op(e4,e1)
& op(e3,e2) != op(e3,e3)
& op(e3,e2) != op(e3,e4)
& op(e3,e2) != op(e4,e2)
& op(e3,e3) != op(e3,e4)
& op(e3,e3) != op(e4,e3)
& op(e3,e4) != op(e4,e4)
& op(e4,e0) != op(e4,e1)
& op(e4,e0) != op(e4,e2)
& op(e4,e0) != op(e4,e3)
& op(e4,e0) != op(e4,e4)
& op(e4,e1) != op(e4,e2)
& op(e4,e1) != op(e4,e3)
& op(e4,e1) != op(e4,e4)
& op(e4,e2) != op(e4,e3)
& op(e4,e2) != op(e4,e4)
& op(e4,e3) != op(e4,e4) ),
inference(canonicalize,[],[ax4]) ).
fof(normalize_23_3,plain,
op(e1,e1) != op(e1,e3),
inference(conjunct,[],[normalize_23_2]) ).
fof(normalize_23_4,plain,
( e0 = op(e1,op(op(e1,e1),op(e1,e1)))
& e2 = op(op(e1,e1),op(e1,e1))
& e3 = op(op(op(e1,e1),op(e1,e1)),op(op(e1,e1),op(e1,e1)))
& e4 = op(e1,e1) ),
inference(canonicalize,[],[ax6]) ).
fof(normalize_23_5,plain,
e4 = op(e1,e1),
inference(conjunct,[],[normalize_23_4]) ).
fof(normalize_23_6,plain,
op(e1,e2) != op(e1,e3),
inference(conjunct,[],[normalize_23_2]) ).
fof(normalize_23_7,plain,
e0 = op(e1,op(op(e1,e1),op(e1,e1))),
inference(conjunct,[],[normalize_23_4]) ).
fof(normalize_23_8,plain,
e2 = op(op(e1,e1),op(e1,e1)),
inference(conjunct,[],[normalize_23_4]) ).
fof(normalize_23_9,plain,
op(e1,e3) != op(e3,e3),
inference(conjunct,[],[normalize_23_2]) ).
fof(normalize_23_10,plain,
( op(e3,e4) != op(e4,e3)
& op(op(e4,e3),e4) != e3
& op(op(e4,e3),e3) = e4
& ( op(op(e0,e1),e1) != e0
| op(e1,e0) = op(e0,e1)
| op(op(e0,e1),e0) = e1 )
& ( op(op(e0,e2),e2) != e0
| op(e2,e0) = op(e0,e2)
| op(op(e0,e2),e0) = e2 )
& ( op(op(e0,e3),e3) != e0
| op(e3,e0) = op(e0,e3)
| op(op(e0,e3),e0) = e3 )
& ( op(op(e0,e4),e4) != e0
| op(e4,e0) = op(e0,e4)
| op(op(e0,e4),e0) = e4 )
& ( op(op(e1,e0),e0) != e1
| op(e0,e1) = op(e1,e0)
| op(op(e1,e0),e1) = e0 )
& ( op(op(e1,e2),e2) != e1
| op(e2,e1) = op(e1,e2)
| op(op(e1,e2),e1) = e2 )
& ( op(op(e1,e3),e3) != e1
| op(e3,e1) = op(e1,e3)
| op(op(e1,e3),e1) = e3 )
& ( op(op(e1,e4),e4) != e1
| op(e4,e1) = op(e1,e4)
| op(op(e1,e4),e1) = e4 )
& ( op(op(e2,e0),e0) != e2
| op(e0,e2) = op(e2,e0)
| op(op(e2,e0),e2) = e0 )
& ( op(op(e2,e1),e1) != e2
| op(e1,e2) = op(e2,e1)
| op(op(e2,e1),e2) = e1 )
& ( op(op(e2,e3),e3) != e2
| op(e3,e2) = op(e2,e3)
| op(op(e2,e3),e2) = e3 )
& ( op(op(e2,e4),e4) != e2
| op(e4,e2) = op(e2,e4)
| op(op(e2,e4),e2) = e4 )
& ( op(op(e3,e0),e0) != e3
| op(e0,e3) = op(e3,e0)
| op(op(e3,e0),e3) = e0 )
& ( op(op(e3,e1),e1) != e3
| op(e1,e3) = op(e3,e1)
| op(op(e3,e1),e3) = e1 )
& ( op(op(e3,e2),e2) != e3
| op(e2,e3) = op(e3,e2)
| op(op(e3,e2),e3) = e2 )
& ( op(op(e3,e4),e4) != e3
| op(e4,e3) = op(e3,e4)
| op(op(e3,e4),e3) = e4 )
& ( op(op(e4,e0),e0) != e4
| op(e0,e4) = op(e4,e0)
| op(op(e4,e0),e4) = e0 )
& ( op(op(e4,e1),e1) != e4
| op(e1,e4) = op(e4,e1)
| op(op(e4,e1),e4) = e1 )
& ( op(op(e4,e2),e2) != e4
| op(e2,e4) = op(e4,e2)
| op(op(e4,e2),e4) = e2 )
& ( op(e0,e0) = e0
| op(e1,e1) = e0
| op(e2,e2) = e0
| op(e3,e3) = e0
| op(e4,e4) = e0 )
& ( op(e0,e0) = e1
| op(e1,e1) = e1
| op(e2,e2) = e1
| op(e3,e3) = e1
| op(e4,e4) = e1 )
& ( op(e0,e0) = e2
| op(e1,e1) = e2
| op(e2,e2) = e2
| op(e3,e3) = e2
| op(e4,e4) = e2 )
& ( op(e0,e0) = e3
| op(e1,e1) = e3
| op(e2,e2) = e3
| op(e3,e3) = e3
| op(e4,e4) = e3 )
& ( op(e0,e0) = e4
| op(e1,e1) = e4
| op(e2,e2) = e4
| op(e3,e3) = e4
| op(e4,e4) = e4 ) ),
inference(canonicalize,[],[negate_23_0]) ).
fof(normalize_23_11,plain,
( op(e0,e0) = e1
| op(e1,e1) = e1
| op(e2,e2) = e1
| op(e3,e3) = e1
| op(e4,e4) = e1 ),
inference(conjunct,[],[normalize_23_10]) ).
fof(normalize_23_12,plain,
e3 = op(op(op(e1,e1),op(e1,e1)),op(op(e1,e1),op(e1,e1))),
inference(conjunct,[],[normalize_23_4]) ).
fof(normalize_23_13,plain,
( e0 != e1
& e0 != e2
& e0 != e3
& e0 != e4
& e1 != e2
& e1 != e3
& e1 != e4
& e2 != e3
& e2 != e4
& e3 != e4 ),
inference(canonicalize,[],[ax5]) ).
fof(normalize_23_14,plain,
e1 != e2,
inference(conjunct,[],[normalize_23_13]) ).
fof(normalize_23_15,plain,
e1 != e3,
inference(conjunct,[],[normalize_23_13]) ).
fof(normalize_23_16,plain,
e1 != e4,
inference(conjunct,[],[normalize_23_13]) ).
fof(normalize_23_17,plain,
( op(e0,unit) = e0
& op(e1,unit) = e1
& op(e2,unit) = e2
& op(e3,unit) = e3
& op(e4,unit) = e4
& op(unit,e0) = e0
& op(unit,e1) = e1
& op(unit,e2) = e2
& op(unit,e3) = e3
& op(unit,e4) = e4
& ( unit = e0
| unit = e1
| unit = e2
| unit = e3
| unit = e4 ) ),
inference(canonicalize,[],[ax2]) ).
fof(normalize_23_18,plain,
op(e0,unit) = e0,
inference(conjunct,[],[normalize_23_17]) ).
fof(normalize_23_19,plain,
op(e1,unit) = e1,
inference(conjunct,[],[normalize_23_17]) ).
fof(normalize_23_20,plain,
op(unit,e2) = e2,
inference(conjunct,[],[normalize_23_17]) ).
fof(normalize_23_21,plain,
( unit = e0
| unit = e1
| unit = e2
| unit = e3
| unit = e4 ),
inference(conjunct,[],[normalize_23_17]) ).
fof(normalize_23_22,plain,
e0 != e2,
inference(conjunct,[],[normalize_23_13]) ).
fof(normalize_23_23,plain,
e2 != e3,
inference(conjunct,[],[normalize_23_13]) ).
fof(normalize_23_24,plain,
op(e4,e2) != op(e4,e4),
inference(conjunct,[],[normalize_23_2]) ).
fof(normalize_23_25,plain,
op(e0,e3) != op(e3,e3),
inference(conjunct,[],[normalize_23_2]) ).
fof(normalize_23_26,plain,
( op(e0,e0) = e0
| op(e1,e1) = e0
| op(e2,e2) = e0
| op(e3,e3) = e0
| op(e4,e4) = e0 ),
inference(conjunct,[],[normalize_23_10]) ).
fof(normalize_23_27,plain,
e0 != e3,
inference(conjunct,[],[normalize_23_13]) ).
fof(normalize_23_28,plain,
e0 != e4,
inference(conjunct,[],[normalize_23_13]) ).
fof(normalize_23_29,plain,
e0 != e1,
inference(conjunct,[],[normalize_23_13]) ).
fof(normalize_23_30,plain,
op(e0,e3) != op(e1,e3),
inference(conjunct,[],[normalize_23_2]) ).
fof(normalize_23_31,plain,
op(unit,e3) = e3,
inference(conjunct,[],[normalize_23_17]) ).
fof(normalize_23_32,plain,
( op(e2,e4) = e0
| op(e2,e4) = e1
| op(e2,e4) = e2
| op(e2,e4) = e3
| op(e2,e4) = e4 ),
inference(conjunct,[],[normalize_23_0]) ).
fof(normalize_23_33,plain,
op(e2,e2) != op(e2,e4),
inference(conjunct,[],[normalize_23_2]) ).
fof(normalize_23_34,plain,
op(e2,e1) != op(e2,e4),
inference(conjunct,[],[normalize_23_2]) ).
fof(normalize_23_35,plain,
op(e0,e1) != op(e2,e1),
inference(conjunct,[],[normalize_23_2]) ).
fof(normalize_23_36,plain,
op(unit,e1) = e1,
inference(conjunct,[],[normalize_23_17]) ).
fof(normalize_23_37,plain,
( op(e2,e1) = e0
| op(e2,e1) = e1
| op(e2,e1) = e2
| op(e2,e1) = e3
| op(e2,e1) = e4 ),
inference(conjunct,[],[normalize_23_0]) ).
fof(normalize_23_38,plain,
op(e2,e1) != op(e2,e2),
inference(conjunct,[],[normalize_23_2]) ).
fof(normalize_23_39,plain,
op(e1,e1) != op(e2,e1),
inference(conjunct,[],[normalize_23_2]) ).
fof(normalize_23_40,plain,
op(e2,e0) != op(e2,e1),
inference(conjunct,[],[normalize_23_2]) ).
fof(normalize_23_41,plain,
op(e2,unit) = e2,
inference(conjunct,[],[normalize_23_17]) ).
fof(normalize_23_42,plain,
op(e2,e4) != op(e4,e4),
inference(conjunct,[],[normalize_23_2]) ).
fof(normalize_23_43,plain,
op(e0,e4) != op(e2,e4),
inference(conjunct,[],[normalize_23_2]) ).
fof(normalize_23_44,plain,
op(unit,e4) = e4,
inference(conjunct,[],[normalize_23_17]) ).
fof(normalize_23_45,plain,
op(op(e4,e3),e3) = e4,
inference(conjunct,[],[normalize_23_10]) ).
fof(normalize_23_46,plain,
( ( op(e0,e0) = e0
| op(e0,e1) = e0
| op(e0,e2) = e0
| op(e0,e3) = e0
| op(e0,e4) = e0 )
& ( op(e0,e0) = e0
| op(e1,e0) = e0
| op(e2,e0) = e0
| op(e3,e0) = e0
| op(e4,e0) = e0 )
& ( op(e0,e0) = e1
| op(e0,e1) = e1
| op(e0,e2) = e1
| op(e0,e3) = e1
| op(e0,e4) = e1 )
& ( op(e0,e0) = e1
| op(e1,e0) = e1
| op(e2,e0) = e1
| op(e3,e0) = e1
| op(e4,e0) = e1 )
& ( op(e0,e0) = e2
| op(e0,e1) = e2
| op(e0,e2) = e2
| op(e0,e3) = e2
| op(e0,e4) = e2 )
& ( op(e0,e0) = e2
| op(e1,e0) = e2
| op(e2,e0) = e2
| op(e3,e0) = e2
| op(e4,e0) = e2 )
& ( op(e0,e0) = e3
| op(e0,e1) = e3
| op(e0,e2) = e3
| op(e0,e3) = e3
| op(e0,e4) = e3 )
& ( op(e0,e0) = e3
| op(e1,e0) = e3
| op(e2,e0) = e3
| op(e3,e0) = e3
| op(e4,e0) = e3 )
& ( op(e0,e0) = e4
| op(e0,e1) = e4
| op(e0,e2) = e4
| op(e0,e3) = e4
| op(e0,e4) = e4 )
& ( op(e0,e0) = e4
| op(e1,e0) = e4
| op(e2,e0) = e4
| op(e3,e0) = e4
| op(e4,e0) = e4 )
& ( op(e0,e1) = e0
| op(e1,e1) = e0
| op(e2,e1) = e0
| op(e3,e1) = e0
| op(e4,e1) = e0 )
& ( op(e0,e1) = e1
| op(e1,e1) = e1
| op(e2,e1) = e1
| op(e3,e1) = e1
| op(e4,e1) = e1 )
& ( op(e0,e1) = e2
| op(e1,e1) = e2
| op(e2,e1) = e2
| op(e3,e1) = e2
| op(e4,e1) = e2 )
& ( op(e0,e1) = e3
| op(e1,e1) = e3
| op(e2,e1) = e3
| op(e3,e1) = e3
| op(e4,e1) = e3 )
& ( op(e0,e1) = e4
| op(e1,e1) = e4
| op(e2,e1) = e4
| op(e3,e1) = e4
| op(e4,e1) = e4 )
& ( op(e0,e2) = e0
| op(e1,e2) = e0
| op(e2,e2) = e0
| op(e3,e2) = e0
| op(e4,e2) = e0 )
& ( op(e0,e2) = e1
| op(e1,e2) = e1
| op(e2,e2) = e1
| op(e3,e2) = e1
| op(e4,e2) = e1 )
& ( op(e0,e2) = e2
| op(e1,e2) = e2
| op(e2,e2) = e2
| op(e3,e2) = e2
| op(e4,e2) = e2 )
& ( op(e0,e2) = e3
| op(e1,e2) = e3
| op(e2,e2) = e3
| op(e3,e2) = e3
| op(e4,e2) = e3 )
& ( op(e0,e2) = e4
| op(e1,e2) = e4
| op(e2,e2) = e4
| op(e3,e2) = e4
| op(e4,e2) = e4 )
& ( op(e0,e3) = e0
| op(e1,e3) = e0
| op(e2,e3) = e0
| op(e3,e3) = e0
| op(e4,e3) = e0 )
& ( op(e0,e3) = e1
| op(e1,e3) = e1
| op(e2,e3) = e1
| op(e3,e3) = e1
| op(e4,e3) = e1 )
& ( op(e0,e3) = e2
| op(e1,e3) = e2
| op(e2,e3) = e2
| op(e3,e3) = e2
| op(e4,e3) = e2 )
& ( op(e0,e3) = e3
| op(e1,e3) = e3
| op(e2,e3) = e3
| op(e3,e3) = e3
| op(e4,e3) = e3 )
& ( op(e0,e3) = e4
| op(e1,e3) = e4
| op(e2,e3) = e4
| op(e3,e3) = e4
| op(e4,e3) = e4 )
& ( op(e0,e4) = e0
| op(e1,e4) = e0
| op(e2,e4) = e0
| op(e3,e4) = e0
| op(e4,e4) = e0 )
& ( op(e0,e4) = e1
| op(e1,e4) = e1
| op(e2,e4) = e1
| op(e3,e4) = e1
| op(e4,e4) = e1 )
& ( op(e0,e4) = e2
| op(e1,e4) = e2
| op(e2,e4) = e2
| op(e3,e4) = e2
| op(e4,e4) = e2 )
& ( op(e0,e4) = e3
| op(e1,e4) = e3
| op(e2,e4) = e3
| op(e3,e4) = e3
| op(e4,e4) = e3 )
& ( op(e0,e4) = e4
| op(e1,e4) = e4
| op(e2,e4) = e4
| op(e3,e4) = e4
| op(e4,e4) = e4 )
& ( op(e1,e0) = e0
| op(e1,e1) = e0
| op(e1,e2) = e0
| op(e1,e3) = e0
| op(e1,e4) = e0 )
& ( op(e1,e0) = e1
| op(e1,e1) = e1
| op(e1,e2) = e1
| op(e1,e3) = e1
| op(e1,e4) = e1 )
& ( op(e1,e0) = e2
| op(e1,e1) = e2
| op(e1,e2) = e2
| op(e1,e3) = e2
| op(e1,e4) = e2 )
& ( op(e1,e0) = e3
| op(e1,e1) = e3
| op(e1,e2) = e3
| op(e1,e3) = e3
| op(e1,e4) = e3 )
& ( op(e1,e0) = e4
| op(e1,e1) = e4
| op(e1,e2) = e4
| op(e1,e3) = e4
| op(e1,e4) = e4 )
& ( op(e2,e0) = e0
| op(e2,e1) = e0
| op(e2,e2) = e0
| op(e2,e3) = e0
| op(e2,e4) = e0 )
& ( op(e2,e0) = e1
| op(e2,e1) = e1
| op(e2,e2) = e1
| op(e2,e3) = e1
| op(e2,e4) = e1 )
& ( op(e2,e0) = e2
| op(e2,e1) = e2
| op(e2,e2) = e2
| op(e2,e3) = e2
| op(e2,e4) = e2 )
& ( op(e2,e0) = e3
| op(e2,e1) = e3
| op(e2,e2) = e3
| op(e2,e3) = e3
| op(e2,e4) = e3 )
& ( op(e2,e0) = e4
| op(e2,e1) = e4
| op(e2,e2) = e4
| op(e2,e3) = e4
| op(e2,e4) = e4 )
& ( op(e3,e0) = e0
| op(e3,e1) = e0
| op(e3,e2) = e0
| op(e3,e3) = e0
| op(e3,e4) = e0 )
& ( op(e3,e0) = e1
| op(e3,e1) = e1
| op(e3,e2) = e1
| op(e3,e3) = e1
| op(e3,e4) = e1 )
& ( op(e3,e0) = e2
| op(e3,e1) = e2
| op(e3,e2) = e2
| op(e3,e3) = e2
| op(e3,e4) = e2 )
& ( op(e3,e0) = e3
| op(e3,e1) = e3
| op(e3,e2) = e3
| op(e3,e3) = e3
| op(e3,e4) = e3 )
& ( op(e3,e0) = e4
| op(e3,e1) = e4
| op(e3,e2) = e4
| op(e3,e3) = e4
| op(e3,e4) = e4 )
& ( op(e4,e0) = e0
| op(e4,e1) = e0
| op(e4,e2) = e0
| op(e4,e3) = e0
| op(e4,e4) = e0 )
& ( op(e4,e0) = e1
| op(e4,e1) = e1
| op(e4,e2) = e1
| op(e4,e3) = e1
| op(e4,e4) = e1 )
& ( op(e4,e0) = e2
| op(e4,e1) = e2
| op(e4,e2) = e2
| op(e4,e3) = e2
| op(e4,e4) = e2 )
& ( op(e4,e0) = e3
| op(e4,e1) = e3
| op(e4,e2) = e3
| op(e4,e3) = e3
| op(e4,e4) = e3 )
& ( op(e4,e0) = e4
| op(e4,e1) = e4
| op(e4,e2) = e4
| op(e4,e3) = e4
| op(e4,e4) = e4 ) ),
inference(canonicalize,[],[ax3]) ).
fof(normalize_23_47,plain,
( op(e0,e3) = e0
| op(e1,e3) = e0
| op(e2,e3) = e0
| op(e3,e3) = e0
| op(e4,e3) = e0 ),
inference(conjunct,[],[normalize_23_46]) ).
fof(normalize_23_48,plain,
( op(e2,e0) = e4
| op(e2,e1) = e4
| op(e2,e2) = e4
| op(e2,e3) = e4
| op(e2,e4) = e4 ),
inference(conjunct,[],[normalize_23_46]) ).
fof(normalize_23_49,plain,
e3 != e4,
inference(conjunct,[],[normalize_23_13]) ).
fof(normalize_23_50,plain,
e2 != e4,
inference(conjunct,[],[normalize_23_13]) ).
cnf(refute_23_0,plain,
( op(e1,e3) = e0
| op(e1,e3) = e1
| op(e1,e3) = e2
| op(e1,e3) = e3
| op(e1,e3) = e4 ),
inference(canonicalize,[],[normalize_23_1]) ).
cnf(refute_23_1,plain,
op(e1,e1) != op(e1,e3),
inference(canonicalize,[],[normalize_23_3]) ).
cnf(refute_23_2,plain,
e4 = op(e1,e1),
inference(canonicalize,[],[normalize_23_5]) ).
cnf(refute_23_3,plain,
X = X,
introduced(tautology,[refl,[$fot(X)]]) ).
cnf(refute_23_4,plain,
( X != X
| X != Y
| Y = X ),
introduced(tautology,[equality,[$cnf( $equal(X,X) ),[0],$fot(Y)]]) ).
cnf(refute_23_5,plain,
( X != Y
| Y = X ),
inference(resolve,[$cnf( $equal(X,X) )],[refute_23_3,refute_23_4]) ).
cnf(refute_23_6,plain,
( e4 != op(e1,e1)
| op(e1,e1) = e4 ),
inference(subst,[],[refute_23_5:[bind(X,$fot(e4)),bind(Y,$fot(op(e1,e1)))]]) ).
cnf(refute_23_7,plain,
op(e1,e1) = e4,
inference(resolve,[$cnf( $equal(e4,op(e1,e1)) )],[refute_23_2,refute_23_6]) ).
cnf(refute_23_8,plain,
( e4 != op(e1,e3)
| op(e1,e1) != e4
| op(e1,e1) = op(e1,e3) ),
introduced(tautology,[equality,[$cnf( $equal(op(e1,e1),e4) ),[1],$fot(op(e1,e3))]]) ).
cnf(refute_23_9,plain,
( e4 != op(e1,e3)
| op(e1,e1) = op(e1,e3) ),
inference(resolve,[$cnf( $equal(op(e1,e1),e4) )],[refute_23_7,refute_23_8]) ).
cnf(refute_23_10,plain,
e4 != op(e1,e3),
inference(resolve,[$cnf( $equal(op(e1,e1),op(e1,e3)) )],[refute_23_9,refute_23_1]) ).
cnf(refute_23_11,plain,
( op(e1,e3) != e4
| e4 = op(e1,e3) ),
inference(subst,[],[refute_23_5:[bind(X,$fot(op(e1,e3))),bind(Y,$fot(e4))]]) ).
cnf(refute_23_12,plain,
op(e1,e3) != e4,
inference(resolve,[$cnf( $equal(e4,op(e1,e3)) )],[refute_23_11,refute_23_10]) ).
cnf(refute_23_13,plain,
( op(e1,e3) = e0
| op(e1,e3) = e1
| op(e1,e3) = e2
| op(e1,e3) = e3 ),
inference(resolve,[$cnf( $equal(op(e1,e3),e4) )],[refute_23_0,refute_23_12]) ).
cnf(refute_23_14,plain,
op(e1,e2) != op(e1,e3),
inference(canonicalize,[],[normalize_23_6]) ).
cnf(refute_23_15,plain,
e0 = op(e1,op(op(e1,e1),op(e1,e1))),
inference(canonicalize,[],[normalize_23_7]) ).
cnf(refute_23_16,plain,
e2 = op(op(e1,e1),op(e1,e1)),
inference(canonicalize,[],[normalize_23_8]) ).
cnf(refute_23_17,plain,
( e2 != op(op(e1,e1),op(e1,e1))
| op(op(e1,e1),op(e1,e1)) = e2 ),
inference(subst,[],[refute_23_5:[bind(X,$fot(e2)),bind(Y,$fot(op(op(e1,e1),op(e1,e1))))]]) ).
cnf(refute_23_18,plain,
op(op(e1,e1),op(e1,e1)) = e2,
inference(resolve,[$cnf( $equal(e2,op(op(e1,e1),op(e1,e1))) )],[refute_23_16,refute_23_17]) ).
cnf(refute_23_19,plain,
op(e1,op(op(e1,e1),op(e1,e1))) = op(e1,op(op(e1,e1),op(e1,e1))),
introduced(tautology,[refl,[$fot(op(e1,op(op(e1,e1),op(e1,e1))))]]) ).
cnf(refute_23_20,plain,
( op(e1,op(op(e1,e1),op(e1,e1))) != op(e1,op(op(e1,e1),op(e1,e1)))
| op(op(e1,e1),op(e1,e1)) != e2
| op(e1,op(op(e1,e1),op(e1,e1))) = op(e1,e2) ),
introduced(tautology,[equality,[$cnf( $equal(op(e1,op(op(e1,e1),op(e1,e1))),op(e1,op(op(e1,e1),op(e1,e1)))) ),[1,1],$fot(e2)]]) ).
cnf(refute_23_21,plain,
( op(op(e1,e1),op(e1,e1)) != e2
| op(e1,op(op(e1,e1),op(e1,e1))) = op(e1,e2) ),
inference(resolve,[$cnf( $equal(op(e1,op(op(e1,e1),op(e1,e1))),op(e1,op(op(e1,e1),op(e1,e1)))) )],[refute_23_19,refute_23_20]) ).
cnf(refute_23_22,plain,
op(e1,op(op(e1,e1),op(e1,e1))) = op(e1,e2),
inference(resolve,[$cnf( $equal(op(op(e1,e1),op(e1,e1)),e2) )],[refute_23_18,refute_23_21]) ).
cnf(refute_23_23,plain,
( e0 != op(e1,op(op(e1,e1),op(e1,e1)))
| op(e1,op(op(e1,e1),op(e1,e1))) != op(e1,e2)
| e0 = op(e1,e2) ),
introduced(tautology,[equality,[$cnf( ~ $equal(e0,op(e1,e2)) ),[0],$fot(op(e1,op(op(e1,e1),op(e1,e1))))]]) ).
cnf(refute_23_24,plain,
( e0 != op(e1,op(op(e1,e1),op(e1,e1)))
| e0 = op(e1,e2) ),
inference(resolve,[$cnf( $equal(op(e1,op(op(e1,e1),op(e1,e1))),op(e1,e2)) )],[refute_23_22,refute_23_23]) ).
cnf(refute_23_25,plain,
e0 = op(e1,e2),
inference(resolve,[$cnf( $equal(e0,op(e1,op(op(e1,e1),op(e1,e1)))) )],[refute_23_15,refute_23_24]) ).
cnf(refute_23_26,plain,
( e0 != op(e1,e2)
| op(e1,e2) = e0 ),
inference(subst,[],[refute_23_5:[bind(X,$fot(e0)),bind(Y,$fot(op(e1,e2)))]]) ).
cnf(refute_23_27,plain,
op(e1,e2) = e0,
inference(resolve,[$cnf( $equal(e0,op(e1,e2)) )],[refute_23_25,refute_23_26]) ).
cnf(refute_23_28,plain,
( e0 != op(e1,e3)
| op(e1,e2) != e0
| op(e1,e2) = op(e1,e3) ),
introduced(tautology,[equality,[$cnf( $equal(op(e1,e2),e0) ),[1],$fot(op(e1,e3))]]) ).
cnf(refute_23_29,plain,
( e0 != op(e1,e3)
| op(e1,e2) = op(e1,e3) ),
inference(resolve,[$cnf( $equal(op(e1,e2),e0) )],[refute_23_27,refute_23_28]) ).
cnf(refute_23_30,plain,
e0 != op(e1,e3),
inference(resolve,[$cnf( $equal(op(e1,e2),op(e1,e3)) )],[refute_23_29,refute_23_14]) ).
cnf(refute_23_31,plain,
( op(e1,e3) != e0
| e0 = op(e1,e3) ),
inference(subst,[],[refute_23_5:[bind(X,$fot(op(e1,e3))),bind(Y,$fot(e0))]]) ).
cnf(refute_23_32,plain,
op(e1,e3) != e0,
inference(resolve,[$cnf( $equal(e0,op(e1,e3)) )],[refute_23_31,refute_23_30]) ).
cnf(refute_23_33,plain,
( op(e1,e3) = e1
| op(e1,e3) = e2
| op(e1,e3) = e3 ),
inference(resolve,[$cnf( $equal(op(e1,e3),e0) )],[refute_23_13,refute_23_32]) ).
cnf(refute_23_34,plain,
op(e1,e3) != op(e3,e3),
inference(canonicalize,[],[normalize_23_9]) ).
cnf(refute_23_35,plain,
( op(e0,e0) = e1
| op(e1,e1) = e1
| op(e2,e2) = e1
| op(e3,e3) = e1
| op(e4,e4) = e1 ),
inference(canonicalize,[],[normalize_23_11]) ).
cnf(refute_23_36,plain,
( op(e1,e1) != e1
| op(e1,e1) != e4
| e4 = e1 ),
introduced(tautology,[equality,[$cnf( $equal(op(e1,e1),e1) ),[0],$fot(e4)]]) ).
cnf(refute_23_37,plain,
( op(e1,e1) != e1
| e4 = e1 ),
inference(resolve,[$cnf( $equal(op(e1,e1),e4) )],[refute_23_7,refute_23_36]) ).
cnf(refute_23_38,plain,
( e4 = e1
| op(e0,e0) = e1
| op(e2,e2) = e1
| op(e3,e3) = e1
| op(e4,e4) = e1 ),
inference(resolve,[$cnf( $equal(op(e1,e1),e1) )],[refute_23_35,refute_23_37]) ).
cnf(refute_23_39,plain,
e3 = op(op(op(e1,e1),op(e1,e1)),op(op(e1,e1),op(e1,e1))),
inference(canonicalize,[],[normalize_23_12]) ).
cnf(refute_23_40,plain,
op(e2,op(op(e1,e1),op(e1,e1))) = op(e2,op(op(e1,e1),op(e1,e1))),
introduced(tautology,[refl,[$fot(op(e2,op(op(e1,e1),op(e1,e1))))]]) ).
cnf(refute_23_41,plain,
( op(e2,op(op(e1,e1),op(e1,e1))) != op(e2,op(op(e1,e1),op(e1,e1)))
| op(op(e1,e1),op(e1,e1)) != e2
| op(e2,op(op(e1,e1),op(e1,e1))) = op(e2,e2) ),
introduced(tautology,[equality,[$cnf( $equal(op(e2,op(op(e1,e1),op(e1,e1))),op(e2,op(op(e1,e1),op(e1,e1)))) ),[1,1],$fot(e2)]]) ).
cnf(refute_23_42,plain,
( op(op(e1,e1),op(e1,e1)) != e2
| op(e2,op(op(e1,e1),op(e1,e1))) = op(e2,e2) ),
inference(resolve,[$cnf( $equal(op(e2,op(op(e1,e1),op(e1,e1))),op(e2,op(op(e1,e1),op(e1,e1)))) )],[refute_23_40,refute_23_41]) ).
cnf(refute_23_43,plain,
op(e2,op(op(e1,e1),op(e1,e1))) = op(e2,e2),
inference(resolve,[$cnf( $equal(op(op(e1,e1),op(e1,e1)),e2) )],[refute_23_18,refute_23_42]) ).
cnf(refute_23_44,plain,
op(op(op(e1,e1),op(e1,e1)),op(op(e1,e1),op(e1,e1))) = op(op(op(e1,e1),op(e1,e1)),op(op(e1,e1),op(e1,e1))),
introduced(tautology,[refl,[$fot(op(op(op(e1,e1),op(e1,e1)),op(op(e1,e1),op(e1,e1))))]]) ).
cnf(refute_23_45,plain,
( op(op(e1,e1),op(e1,e1)) != e2
| op(op(op(e1,e1),op(e1,e1)),op(op(e1,e1),op(e1,e1))) != op(op(op(e1,e1),op(e1,e1)),op(op(e1,e1),op(e1,e1)))
| op(op(op(e1,e1),op(e1,e1)),op(op(e1,e1),op(e1,e1))) = op(e2,op(op(e1,e1),op(e1,e1))) ),
introduced(tautology,[equality,[$cnf( $equal(op(op(op(e1,e1),op(e1,e1)),op(op(e1,e1),op(e1,e1))),op(op(op(e1,e1),op(e1,e1)),op(op(e1,e1),op(e1,e1)))) ),[1,0],$fot(e2)]]) ).
cnf(refute_23_46,plain,
( op(op(e1,e1),op(e1,e1)) != e2
| op(op(op(e1,e1),op(e1,e1)),op(op(e1,e1),op(e1,e1))) = op(e2,op(op(e1,e1),op(e1,e1))) ),
inference(resolve,[$cnf( $equal(op(op(op(e1,e1),op(e1,e1)),op(op(e1,e1),op(e1,e1))),op(op(op(e1,e1),op(e1,e1)),op(op(e1,e1),op(e1,e1)))) )],[refute_23_44,refute_23_45]) ).
cnf(refute_23_47,plain,
op(op(op(e1,e1),op(e1,e1)),op(op(e1,e1),op(e1,e1))) = op(e2,op(op(e1,e1),op(e1,e1))),
inference(resolve,[$cnf( $equal(op(op(e1,e1),op(e1,e1)),e2) )],[refute_23_18,refute_23_46]) ).
cnf(refute_23_48,plain,
( Y != X
| Y != Z
| X = Z ),
introduced(tautology,[equality,[$cnf( $equal(Y,Z) ),[0],$fot(X)]]) ).
cnf(refute_23_49,plain,
( X != Y
| Y != Z
| X = Z ),
inference(resolve,[$cnf( $equal(Y,X) )],[refute_23_5,refute_23_48]) ).
cnf(refute_23_50,plain,
( op(e2,op(op(e1,e1),op(e1,e1))) != op(e2,e2)
| op(op(op(e1,e1),op(e1,e1)),op(op(e1,e1),op(e1,e1))) != op(e2,op(op(e1,e1),op(e1,e1)))
| op(op(op(e1,e1),op(e1,e1)),op(op(e1,e1),op(e1,e1))) = op(e2,e2) ),
inference(subst,[],[refute_23_49:[bind(X,$fot(op(op(op(e1,e1),op(e1,e1)),op(op(e1,e1),op(e1,e1))))),bind(Y,$fot(op(e2,op(op(e1,e1),op(e1,e1))))),bind(Z,$fot(op(e2,e2)))]]) ).
cnf(refute_23_51,plain,
( op(e2,op(op(e1,e1),op(e1,e1))) != op(e2,e2)
| op(op(op(e1,e1),op(e1,e1)),op(op(e1,e1),op(e1,e1))) = op(e2,e2) ),
inference(resolve,[$cnf( $equal(op(op(op(e1,e1),op(e1,e1)),op(op(e1,e1),op(e1,e1))),op(e2,op(op(e1,e1),op(e1,e1)))) )],[refute_23_47,refute_23_50]) ).
cnf(refute_23_52,plain,
op(op(op(e1,e1),op(e1,e1)),op(op(e1,e1),op(e1,e1))) = op(e2,e2),
inference(resolve,[$cnf( $equal(op(e2,op(op(e1,e1),op(e1,e1))),op(e2,e2)) )],[refute_23_43,refute_23_51]) ).
cnf(refute_23_53,plain,
( e3 != op(op(op(e1,e1),op(e1,e1)),op(op(e1,e1),op(e1,e1)))
| op(op(op(e1,e1),op(e1,e1)),op(op(e1,e1),op(e1,e1))) != op(e2,e2)
| e3 = op(e2,e2) ),
introduced(tautology,[equality,[$cnf( ~ $equal(e3,op(e2,e2)) ),[0],$fot(op(op(op(e1,e1),op(e1,e1)),op(op(e1,e1),op(e1,e1))))]]) ).
cnf(refute_23_54,plain,
( e3 != op(op(op(e1,e1),op(e1,e1)),op(op(e1,e1),op(e1,e1)))
| e3 = op(e2,e2) ),
inference(resolve,[$cnf( $equal(op(op(op(e1,e1),op(e1,e1)),op(op(e1,e1),op(e1,e1))),op(e2,e2)) )],[refute_23_52,refute_23_53]) ).
cnf(refute_23_55,plain,
e3 = op(e2,e2),
inference(resolve,[$cnf( $equal(e3,op(op(op(e1,e1),op(e1,e1)),op(op(e1,e1),op(e1,e1)))) )],[refute_23_39,refute_23_54]) ).
cnf(refute_23_56,plain,
( e3 != op(e2,e2)
| op(e2,e2) = e3 ),
inference(subst,[],[refute_23_5:[bind(X,$fot(e3)),bind(Y,$fot(op(e2,e2)))]]) ).
cnf(refute_23_57,plain,
op(e2,e2) = e3,
inference(resolve,[$cnf( $equal(e3,op(e2,e2)) )],[refute_23_55,refute_23_56]) ).
cnf(refute_23_58,plain,
( op(e2,e2) != e1
| op(e2,e2) != e3
| e3 = e1 ),
introduced(tautology,[equality,[$cnf( $equal(op(e2,e2),e1) ),[0],$fot(e3)]]) ).
cnf(refute_23_59,plain,
( op(e2,e2) != e1
| e3 = e1 ),
inference(resolve,[$cnf( $equal(op(e2,e2),e3) )],[refute_23_57,refute_23_58]) ).
cnf(refute_23_60,plain,
( e3 = e1
| e4 = e1
| op(e0,e0) = e1
| op(e3,e3) = e1
| op(e4,e4) = e1 ),
inference(resolve,[$cnf( $equal(op(e2,e2),e1) )],[refute_23_38,refute_23_59]) ).
cnf(refute_23_61,plain,
op(e4,op(e1,e1)) = op(e4,op(e1,e1)),
introduced(tautology,[refl,[$fot(op(e4,op(e1,e1)))]]) ).
cnf(refute_23_62,plain,
( op(e1,e1) != e4
| op(e4,op(e1,e1)) != op(e4,op(e1,e1))
| op(e4,op(e1,e1)) = op(e4,e4) ),
introduced(tautology,[equality,[$cnf( $equal(op(e4,op(e1,e1)),op(e4,op(e1,e1))) ),[1,1],$fot(e4)]]) ).
cnf(refute_23_63,plain,
( op(e1,e1) != e4
| op(e4,op(e1,e1)) = op(e4,e4) ),
inference(resolve,[$cnf( $equal(op(e4,op(e1,e1)),op(e4,op(e1,e1))) )],[refute_23_61,refute_23_62]) ).
cnf(refute_23_64,plain,
op(e4,op(e1,e1)) = op(e4,e4),
inference(resolve,[$cnf( $equal(op(e1,e1),e4) )],[refute_23_7,refute_23_63]) ).
cnf(refute_23_65,plain,
op(op(e1,e1),op(e1,e1)) = op(op(e1,e1),op(e1,e1)),
introduced(tautology,[refl,[$fot(op(op(e1,e1),op(e1,e1)))]]) ).
cnf(refute_23_66,plain,
( op(e1,e1) != e4
| op(op(e1,e1),op(e1,e1)) != op(op(e1,e1),op(e1,e1))
| op(op(e1,e1),op(e1,e1)) = op(e4,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(e4)]]) ).
cnf(refute_23_67,plain,
( op(e1,e1) != e4
| op(op(e1,e1),op(e1,e1)) = op(e4,op(e1,e1)) ),
inference(resolve,[$cnf( $equal(op(op(e1,e1),op(e1,e1)),op(op(e1,e1),op(e1,e1))) )],[refute_23_65,refute_23_66]) ).
cnf(refute_23_68,plain,
op(op(e1,e1),op(e1,e1)) = op(e4,op(e1,e1)),
inference(resolve,[$cnf( $equal(op(e1,e1),e4) )],[refute_23_7,refute_23_67]) ).
cnf(refute_23_69,plain,
( op(e4,op(e1,e1)) != op(e4,e4)
| op(op(e1,e1),op(e1,e1)) != op(e4,op(e1,e1))
| op(op(e1,e1),op(e1,e1)) = op(e4,e4) ),
inference(subst,[],[refute_23_49:[bind(X,$fot(op(op(e1,e1),op(e1,e1)))),bind(Y,$fot(op(e4,op(e1,e1)))),bind(Z,$fot(op(e4,e4)))]]) ).
cnf(refute_23_70,plain,
( op(e4,op(e1,e1)) != op(e4,e4)
| op(op(e1,e1),op(e1,e1)) = op(e4,e4) ),
inference(resolve,[$cnf( $equal(op(op(e1,e1),op(e1,e1)),op(e4,op(e1,e1))) )],[refute_23_68,refute_23_69]) ).
cnf(refute_23_71,plain,
op(op(e1,e1),op(e1,e1)) = op(e4,e4),
inference(resolve,[$cnf( $equal(op(e4,op(e1,e1)),op(e4,e4)) )],[refute_23_64,refute_23_70]) ).
cnf(refute_23_72,plain,
( e2 != op(op(e1,e1),op(e1,e1))
| op(op(e1,e1),op(e1,e1)) != op(e4,e4)
| e2 = op(e4,e4) ),
introduced(tautology,[equality,[$cnf( ~ $equal(e2,op(e4,e4)) ),[0],$fot(op(op(e1,e1),op(e1,e1)))]]) ).
cnf(refute_23_73,plain,
( e2 != op(op(e1,e1),op(e1,e1))
| e2 = op(e4,e4) ),
inference(resolve,[$cnf( $equal(op(op(e1,e1),op(e1,e1)),op(e4,e4)) )],[refute_23_71,refute_23_72]) ).
cnf(refute_23_74,plain,
e2 = op(e4,e4),
inference(resolve,[$cnf( $equal(e2,op(op(e1,e1),op(e1,e1))) )],[refute_23_16,refute_23_73]) ).
cnf(refute_23_75,plain,
( e2 != op(e4,e4)
| op(e4,e4) = e2 ),
inference(subst,[],[refute_23_5:[bind(X,$fot(e2)),bind(Y,$fot(op(e4,e4)))]]) ).
cnf(refute_23_76,plain,
op(e4,e4) = e2,
inference(resolve,[$cnf( $equal(e2,op(e4,e4)) )],[refute_23_74,refute_23_75]) ).
cnf(refute_23_77,plain,
( op(e4,e4) != e1
| op(e4,e4) != e2
| e2 = e1 ),
introduced(tautology,[equality,[$cnf( $equal(op(e4,e4),e1) ),[0],$fot(e2)]]) ).
cnf(refute_23_78,plain,
( op(e4,e4) != e1
| e2 = e1 ),
inference(resolve,[$cnf( $equal(op(e4,e4),e2) )],[refute_23_76,refute_23_77]) ).
cnf(refute_23_79,plain,
( e2 = e1
| e3 = e1
| e4 = e1
| op(e0,e0) = e1
| op(e3,e3) = e1 ),
inference(resolve,[$cnf( $equal(op(e4,e4),e1) )],[refute_23_60,refute_23_78]) ).
cnf(refute_23_80,plain,
e1 != e2,
inference(canonicalize,[],[normalize_23_14]) ).
cnf(refute_23_81,plain,
( e2 != e1
| e1 = e2 ),
inference(subst,[],[refute_23_5:[bind(X,$fot(e2)),bind(Y,$fot(e1))]]) ).
cnf(refute_23_82,plain,
e2 != e1,
inference(resolve,[$cnf( $equal(e1,e2) )],[refute_23_81,refute_23_80]) ).
cnf(refute_23_83,plain,
( e3 = e1
| e4 = e1
| op(e0,e0) = e1
| op(e3,e3) = e1 ),
inference(resolve,[$cnf( $equal(e2,e1) )],[refute_23_79,refute_23_82]) ).
cnf(refute_23_84,plain,
e1 != e3,
inference(canonicalize,[],[normalize_23_15]) ).
cnf(refute_23_85,plain,
( e3 != e1
| e1 = e3 ),
inference(subst,[],[refute_23_5:[bind(X,$fot(e3)),bind(Y,$fot(e1))]]) ).
cnf(refute_23_86,plain,
e3 != e1,
inference(resolve,[$cnf( $equal(e1,e3) )],[refute_23_85,refute_23_84]) ).
cnf(refute_23_87,plain,
( e4 = e1
| op(e0,e0) = e1
| op(e3,e3) = e1 ),
inference(resolve,[$cnf( $equal(e3,e1) )],[refute_23_83,refute_23_86]) ).
cnf(refute_23_88,plain,
e1 != e4,
inference(canonicalize,[],[normalize_23_16]) ).
cnf(refute_23_89,plain,
( e4 != e1
| e1 = e4 ),
inference(subst,[],[refute_23_5:[bind(X,$fot(e4)),bind(Y,$fot(e1))]]) ).
cnf(refute_23_90,plain,
e4 != e1,
inference(resolve,[$cnf( $equal(e1,e4) )],[refute_23_89,refute_23_88]) ).
cnf(refute_23_91,plain,
( op(e0,e0) = e1
| op(e3,e3) = e1 ),
inference(resolve,[$cnf( $equal(e4,e1) )],[refute_23_87,refute_23_90]) ).
cnf(refute_23_92,plain,
op(e0,unit) = e0,
inference(canonicalize,[],[normalize_23_18]) ).
cnf(refute_23_93,plain,
( op(e1,e3) != e1
| op(e3,e3) != e1
| op(e1,e3) = op(e3,e3) ),
introduced(tautology,[equality,[$cnf( ~ $equal(op(e1,e3),op(e3,e3)) ),[1],$fot(e1)]]) ).
cnf(refute_23_94,plain,
( op(e1,e3) != e1
| op(e0,e0) = e1
| op(e1,e3) = op(e3,e3) ),
inference(resolve,[$cnf( $equal(op(e3,e3),e1) )],[refute_23_91,refute_23_93]) ).
cnf(refute_23_95,plain,
( op(e1,e3) != e1
| op(e0,e0) = e1 ),
inference(resolve,[$cnf( $equal(op(e1,e3),op(e3,e3)) )],[refute_23_94,refute_23_34]) ).
cnf(refute_23_96,plain,
op(e1,unit) = e1,
inference(canonicalize,[],[normalize_23_19]) ).
cnf(refute_23_97,plain,
op(unit,e2) = e2,
inference(canonicalize,[],[normalize_23_20]) ).
cnf(refute_23_98,plain,
( unit = e0
| unit = e1
| unit = e2
| unit = e3
| unit = e4 ),
inference(canonicalize,[],[normalize_23_21]) ).
cnf(refute_23_99,plain,
( op(unit,e2) != e2
| unit != e1
| op(e1,e2) = e2 ),
introduced(tautology,[equality,[$cnf( $equal(op(unit,e2),e2) ),[0,0],$fot(e1)]]) ).
cnf(refute_23_100,plain,
( op(unit,e2) != e2
| op(e1,e2) = e2
| unit = e0
| unit = e2
| unit = e3
| unit = e4 ),
inference(resolve,[$cnf( $equal(unit,e1) )],[refute_23_98,refute_23_99]) ).
cnf(refute_23_101,plain,
( op(e1,e2) = e2
| unit = e0
| unit = e2
| unit = e3
| unit = e4 ),
inference(resolve,[$cnf( $equal(op(unit,e2),e2) )],[refute_23_97,refute_23_100]) ).
cnf(refute_23_102,plain,
( op(e1,e2) != e0
| op(e1,e2) != e2
| e0 = e2 ),
introduced(tautology,[equality,[$cnf( $equal(op(e1,e2),e2) ),[0],$fot(e0)]]) ).
cnf(refute_23_103,plain,
( op(e1,e2) != e2
| e0 = e2 ),
inference(resolve,[$cnf( $equal(op(e1,e2),e0) )],[refute_23_27,refute_23_102]) ).
cnf(refute_23_104,plain,
( e0 = e2
| unit = e0
| unit = e2
| unit = e3
| unit = e4 ),
inference(resolve,[$cnf( $equal(op(e1,e2),e2) )],[refute_23_101,refute_23_103]) ).
cnf(refute_23_105,plain,
e0 != e2,
inference(canonicalize,[],[normalize_23_22]) ).
cnf(refute_23_106,plain,
( unit = e0
| unit = e2
| unit = e3
| unit = e4 ),
inference(resolve,[$cnf( $equal(e0,e2) )],[refute_23_104,refute_23_105]) ).
cnf(refute_23_107,plain,
( op(unit,e2) != e2
| unit != e2
| op(e2,e2) = e2 ),
introduced(tautology,[equality,[$cnf( $equal(op(unit,e2),e2) ),[0,0],$fot(e2)]]) ).
cnf(refute_23_108,plain,
( op(unit,e2) != e2
| op(e2,e2) = e2
| unit = e0
| unit = e3
| unit = e4 ),
inference(resolve,[$cnf( $equal(unit,e2) )],[refute_23_106,refute_23_107]) ).
cnf(refute_23_109,plain,
( op(e2,e2) = e2
| unit = e0
| unit = e3
| unit = e4 ),
inference(resolve,[$cnf( $equal(op(unit,e2),e2) )],[refute_23_97,refute_23_108]) ).
cnf(refute_23_110,plain,
( op(e2,e2) != e2
| op(e2,e2) != e3
| e3 = e2 ),
introduced(tautology,[equality,[$cnf( $equal(op(e2,e2),e2) ),[0],$fot(e3)]]) ).
cnf(refute_23_111,plain,
( op(e2,e2) != e2
| e3 = e2 ),
inference(resolve,[$cnf( $equal(op(e2,e2),e3) )],[refute_23_57,refute_23_110]) ).
cnf(refute_23_112,plain,
( e3 = e2
| unit = e0
| unit = e3
| unit = e4 ),
inference(resolve,[$cnf( $equal(op(e2,e2),e2) )],[refute_23_109,refute_23_111]) ).
cnf(refute_23_113,plain,
e2 != e3,
inference(canonicalize,[],[normalize_23_23]) ).
cnf(refute_23_114,plain,
( e3 != e2
| e2 = e3 ),
inference(subst,[],[refute_23_5:[bind(X,$fot(e3)),bind(Y,$fot(e2))]]) ).
cnf(refute_23_115,plain,
e3 != e2,
inference(resolve,[$cnf( $equal(e2,e3) )],[refute_23_114,refute_23_113]) ).
cnf(refute_23_116,plain,
( unit = e0
| unit = e3
| unit = e4 ),
inference(resolve,[$cnf( $equal(e3,e2) )],[refute_23_112,refute_23_115]) ).
cnf(refute_23_117,plain,
( op(unit,e2) != e2
| unit != e4
| op(e4,e2) = e2 ),
introduced(tautology,[equality,[$cnf( $equal(op(unit,e2),e2) ),[0,0],$fot(e4)]]) ).
cnf(refute_23_118,plain,
( op(unit,e2) != e2
| op(e4,e2) = e2
| unit = e0
| unit = e3 ),
inference(resolve,[$cnf( $equal(unit,e4) )],[refute_23_116,refute_23_117]) ).
cnf(refute_23_119,plain,
( op(e4,e2) = e2
| unit = e0
| unit = e3 ),
inference(resolve,[$cnf( $equal(op(unit,e2),e2) )],[refute_23_97,refute_23_118]) ).
cnf(refute_23_120,plain,
op(e4,e2) != op(e4,e4),
inference(canonicalize,[],[normalize_23_24]) ).
cnf(refute_23_121,plain,
( op(e4,e2) != e2
| op(e4,e4) != e2
| op(e4,e2) = op(e4,e4) ),
introduced(tautology,[equality,[$cnf( ~ $equal(op(e4,e2),op(e4,e4)) ),[1],$fot(e2)]]) ).
cnf(refute_23_122,plain,
( op(e4,e2) != e2
| op(e4,e2) = op(e4,e4) ),
inference(resolve,[$cnf( $equal(op(e4,e4),e2) )],[refute_23_76,refute_23_121]) ).
cnf(refute_23_123,plain,
op(e4,e2) != e2,
inference(resolve,[$cnf( $equal(op(e4,e2),op(e4,e4)) )],[refute_23_122,refute_23_120]) ).
cnf(refute_23_124,plain,
( unit = e0
| unit = e3 ),
inference(resolve,[$cnf( $equal(op(e4,e2),e2) )],[refute_23_119,refute_23_123]) ).
cnf(refute_23_125,plain,
( op(e1,unit) != e1
| unit != e3
| op(e1,e3) = e1 ),
introduced(tautology,[equality,[$cnf( $equal(op(e1,unit),e1) ),[0,1],$fot(e3)]]) ).
cnf(refute_23_126,plain,
( op(e1,unit) != e1
| op(e1,e3) = e1
| unit = e0 ),
inference(resolve,[$cnf( $equal(unit,e3) )],[refute_23_124,refute_23_125]) ).
cnf(refute_23_127,plain,
( op(e1,e3) = e1
| unit = e0 ),
inference(resolve,[$cnf( $equal(op(e1,unit),e1) )],[refute_23_96,refute_23_126]) ).
cnf(refute_23_128,plain,
( e1 != e1
| op(e1,e3) != e1
| op(e1,e3) = e1 ),
introduced(tautology,[equality,[$cnf( $equal(op(e1,e3),e1) ),[0,0],$fot(e1)]]) ).
cnf(refute_23_129,plain,
( e1 != e1
| op(e1,e3) = e1
| unit = e0 ),
inference(resolve,[$cnf( $equal(op(e1,e3),e1) )],[refute_23_127,refute_23_128]) ).
cnf(refute_23_130,plain,
( e1 != e1
| op(e0,e0) = e1
| unit = e0 ),
inference(resolve,[$cnf( $equal(op(e1,e3),e1) )],[refute_23_129,refute_23_95]) ).
cnf(refute_23_131,plain,
e1 = e1,
introduced(tautology,[refl,[$fot(e1)]]) ).
cnf(refute_23_132,plain,
( op(e0,e0) = e1
| unit = e0 ),
inference(resolve,[$cnf( $equal(e1,e1) )],[refute_23_131,refute_23_130]) ).
cnf(refute_23_133,plain,
op(e0,e3) != op(e3,e3),
inference(canonicalize,[],[normalize_23_25]) ).
cnf(refute_23_134,plain,
( op(e0,e0) = e0
| op(e1,e1) = e0
| op(e2,e2) = e0
| op(e3,e3) = e0
| op(e4,e4) = e0 ),
inference(canonicalize,[],[normalize_23_26]) ).
cnf(refute_23_135,plain,
( op(e1,e1) != e0
| op(e1,e1) != e4
| e4 = e0 ),
introduced(tautology,[equality,[$cnf( $equal(op(e1,e1),e0) ),[0],$fot(e4)]]) ).
cnf(refute_23_136,plain,
( op(e1,e1) != e0
| e4 = e0 ),
inference(resolve,[$cnf( $equal(op(e1,e1),e4) )],[refute_23_7,refute_23_135]) ).
cnf(refute_23_137,plain,
( e4 = e0
| op(e0,e0) = e0
| op(e2,e2) = e0
| op(e3,e3) = e0
| op(e4,e4) = e0 ),
inference(resolve,[$cnf( $equal(op(e1,e1),e0) )],[refute_23_134,refute_23_136]) ).
cnf(refute_23_138,plain,
( op(e2,e2) != e0
| op(e2,e2) != e3
| e3 = e0 ),
introduced(tautology,[equality,[$cnf( $equal(op(e2,e2),e0) ),[0],$fot(e3)]]) ).
cnf(refute_23_139,plain,
( op(e2,e2) != e0
| e3 = e0 ),
inference(resolve,[$cnf( $equal(op(e2,e2),e3) )],[refute_23_57,refute_23_138]) ).
cnf(refute_23_140,plain,
( e3 = e0
| e4 = e0
| op(e0,e0) = e0
| op(e3,e3) = e0
| op(e4,e4) = e0 ),
inference(resolve,[$cnf( $equal(op(e2,e2),e0) )],[refute_23_137,refute_23_139]) ).
cnf(refute_23_141,plain,
( op(e4,e4) != e0
| op(e4,e4) != e2
| e2 = e0 ),
introduced(tautology,[equality,[$cnf( $equal(op(e4,e4),e0) ),[0],$fot(e2)]]) ).
cnf(refute_23_142,plain,
( op(e4,e4) != e0
| e2 = e0 ),
inference(resolve,[$cnf( $equal(op(e4,e4),e2) )],[refute_23_76,refute_23_141]) ).
cnf(refute_23_143,plain,
( e2 = e0
| e3 = e0
| e4 = e0
| op(e0,e0) = e0
| op(e3,e3) = e0 ),
inference(resolve,[$cnf( $equal(op(e4,e4),e0) )],[refute_23_140,refute_23_142]) ).
cnf(refute_23_144,plain,
( e2 != e0
| e0 = e2 ),
inference(subst,[],[refute_23_5:[bind(X,$fot(e2)),bind(Y,$fot(e0))]]) ).
cnf(refute_23_145,plain,
e2 != e0,
inference(resolve,[$cnf( $equal(e0,e2) )],[refute_23_144,refute_23_105]) ).
cnf(refute_23_146,plain,
( e3 = e0
| e4 = e0
| op(e0,e0) = e0
| op(e3,e3) = e0 ),
inference(resolve,[$cnf( $equal(e2,e0) )],[refute_23_143,refute_23_145]) ).
cnf(refute_23_147,plain,
e0 != e3,
inference(canonicalize,[],[normalize_23_27]) ).
cnf(refute_23_148,plain,
( e3 != e0
| e0 = e3 ),
inference(subst,[],[refute_23_5:[bind(X,$fot(e3)),bind(Y,$fot(e0))]]) ).
cnf(refute_23_149,plain,
e3 != e0,
inference(resolve,[$cnf( $equal(e0,e3) )],[refute_23_148,refute_23_147]) ).
cnf(refute_23_150,plain,
( e4 = e0
| op(e0,e0) = e0
| op(e3,e3) = e0 ),
inference(resolve,[$cnf( $equal(e3,e0) )],[refute_23_146,refute_23_149]) ).
cnf(refute_23_151,plain,
e0 != e4,
inference(canonicalize,[],[normalize_23_28]) ).
cnf(refute_23_152,plain,
( e4 != e0
| e0 = e4 ),
inference(subst,[],[refute_23_5:[bind(X,$fot(e4)),bind(Y,$fot(e0))]]) ).
cnf(refute_23_153,plain,
e4 != e0,
inference(resolve,[$cnf( $equal(e0,e4) )],[refute_23_152,refute_23_151]) ).
cnf(refute_23_154,plain,
( op(e0,e0) = e0
| op(e3,e3) = e0 ),
inference(resolve,[$cnf( $equal(e4,e0) )],[refute_23_150,refute_23_153]) ).
cnf(refute_23_155,plain,
( op(e0,e3) != e0
| op(e3,e3) != e0
| op(e0,e3) = op(e3,e3) ),
introduced(tautology,[equality,[$cnf( ~ $equal(op(e0,e3),op(e3,e3)) ),[1],$fot(e0)]]) ).
cnf(refute_23_156,plain,
( op(e0,e3) != e0
| op(e0,e0) = e0
| op(e0,e3) = op(e3,e3) ),
inference(resolve,[$cnf( $equal(op(e3,e3),e0) )],[refute_23_154,refute_23_155]) ).
cnf(refute_23_157,plain,
( op(e0,e3) != e0
| op(e0,e0) = e0 ),
inference(resolve,[$cnf( $equal(op(e0,e3),op(e3,e3)) )],[refute_23_156,refute_23_133]) ).
cnf(refute_23_158,plain,
( op(e0,unit) != e0
| unit != e3
| op(e0,e3) = e0 ),
introduced(tautology,[equality,[$cnf( $equal(op(e0,unit),e0) ),[0,1],$fot(e3)]]) ).
cnf(refute_23_159,plain,
( op(e0,unit) != e0
| op(e0,e3) = e0
| unit = e0 ),
inference(resolve,[$cnf( $equal(unit,e3) )],[refute_23_124,refute_23_158]) ).
cnf(refute_23_160,plain,
( op(e0,e3) = e0
| unit = e0 ),
inference(resolve,[$cnf( $equal(op(e0,unit),e0) )],[refute_23_92,refute_23_159]) ).
cnf(refute_23_161,plain,
( e0 != e0
| op(e0,e3) != e0
| op(e0,e3) = e0 ),
introduced(tautology,[equality,[$cnf( $equal(op(e0,e3),e0) ),[0,0],$fot(e0)]]) ).
cnf(refute_23_162,plain,
( e0 != e0
| op(e0,e3) = e0
| unit = e0 ),
inference(resolve,[$cnf( $equal(op(e0,e3),e0) )],[refute_23_160,refute_23_161]) ).
cnf(refute_23_163,plain,
( e0 != e0
| op(e0,e0) = e0
| unit = e0 ),
inference(resolve,[$cnf( $equal(op(e0,e3),e0) )],[refute_23_162,refute_23_157]) ).
cnf(refute_23_164,plain,
e0 = e0,
introduced(tautology,[refl,[$fot(e0)]]) ).
cnf(refute_23_165,plain,
( op(e0,e0) = e0
| unit = e0 ),
inference(resolve,[$cnf( $equal(e0,e0) )],[refute_23_164,refute_23_163]) ).
cnf(refute_23_166,plain,
( op(e0,e0) != e0
| op(e0,e0) != e1
| e0 = e1 ),
introduced(tautology,[equality,[$cnf( $equal(op(e0,e0),e1) ),[0],$fot(e0)]]) ).
cnf(refute_23_167,plain,
( op(e0,e0) != e1
| e0 = e1
| unit = e0 ),
inference(resolve,[$cnf( $equal(op(e0,e0),e0) )],[refute_23_165,refute_23_166]) ).
cnf(refute_23_168,plain,
( e0 = e1
| unit = e0 ),
inference(resolve,[$cnf( $equal(op(e0,e0),e1) )],[refute_23_132,refute_23_167]) ).
cnf(refute_23_169,plain,
e0 != e1,
inference(canonicalize,[],[normalize_23_29]) ).
cnf(refute_23_170,plain,
unit = e0,
inference(resolve,[$cnf( $equal(e0,e1) )],[refute_23_168,refute_23_169]) ).
cnf(refute_23_171,plain,
op(e0,unit) = op(e0,unit),
introduced(tautology,[refl,[$fot(op(e0,unit))]]) ).
cnf(refute_23_172,plain,
( op(e0,unit) != op(e0,unit)
| unit != e0
| op(e0,unit) = op(e0,e0) ),
introduced(tautology,[equality,[$cnf( $equal(op(e0,unit),op(e0,unit)) ),[1,1],$fot(e0)]]) ).
cnf(refute_23_173,plain,
( unit != e0
| op(e0,unit) = op(e0,e0) ),
inference(resolve,[$cnf( $equal(op(e0,unit),op(e0,unit)) )],[refute_23_171,refute_23_172]) ).
cnf(refute_23_174,plain,
op(e0,unit) = op(e0,e0),
inference(resolve,[$cnf( $equal(unit,e0) )],[refute_23_170,refute_23_173]) ).
cnf(refute_23_175,plain,
( op(e0,unit) != e0
| op(e0,unit) != op(e0,e0)
| op(e0,e0) = e0 ),
introduced(tautology,[equality,[$cnf( $equal(op(e0,unit),e0) ),[0],$fot(op(e0,e0))]]) ).
cnf(refute_23_176,plain,
( op(e0,unit) != e0
| op(e0,e0) = e0 ),
inference(resolve,[$cnf( $equal(op(e0,unit),op(e0,e0)) )],[refute_23_174,refute_23_175]) ).
cnf(refute_23_177,plain,
op(e0,e0) = e0,
inference(resolve,[$cnf( $equal(op(e0,unit),e0) )],[refute_23_92,refute_23_176]) ).
cnf(refute_23_178,plain,
( op(e0,e0) != e1
| e0 = e1 ),
inference(resolve,[$cnf( $equal(op(e0,e0),e0) )],[refute_23_177,refute_23_166]) ).
cnf(refute_23_179,plain,
( e0 = e1
| op(e3,e3) = e1 ),
inference(resolve,[$cnf( $equal(op(e0,e0),e1) )],[refute_23_91,refute_23_178]) ).
cnf(refute_23_180,plain,
op(e3,e3) = e1,
inference(resolve,[$cnf( $equal(e0,e1) )],[refute_23_179,refute_23_169]) ).
cnf(refute_23_181,plain,
( op(e1,e3) != e1
| op(e1,e3) = op(e3,e3) ),
inference(resolve,[$cnf( $equal(op(e3,e3),e1) )],[refute_23_180,refute_23_93]) ).
cnf(refute_23_182,plain,
op(e1,e3) != e1,
inference(resolve,[$cnf( $equal(op(e1,e3),op(e3,e3)) )],[refute_23_181,refute_23_34]) ).
cnf(refute_23_183,plain,
( op(e1,e3) = e2
| op(e1,e3) = e3 ),
inference(resolve,[$cnf( $equal(op(e1,e3),e1) )],[refute_23_33,refute_23_182]) ).
cnf(refute_23_184,plain,
op(e0,e3) != op(e1,e3),
inference(canonicalize,[],[normalize_23_30]) ).
cnf(refute_23_185,plain,
op(unit,e3) = e3,
inference(canonicalize,[],[normalize_23_31]) ).
cnf(refute_23_186,plain,
op(unit,e3) = op(unit,e3),
introduced(tautology,[refl,[$fot(op(unit,e3))]]) ).
cnf(refute_23_187,plain,
( op(unit,e3) != op(unit,e3)
| unit != e0
| op(unit,e3) = op(e0,e3) ),
introduced(tautology,[equality,[$cnf( $equal(op(unit,e3),op(unit,e3)) ),[1,0],$fot(e0)]]) ).
cnf(refute_23_188,plain,
( unit != e0
| op(unit,e3) = op(e0,e3) ),
inference(resolve,[$cnf( $equal(op(unit,e3),op(unit,e3)) )],[refute_23_186,refute_23_187]) ).
cnf(refute_23_189,plain,
op(unit,e3) = op(e0,e3),
inference(resolve,[$cnf( $equal(unit,e0) )],[refute_23_170,refute_23_188]) ).
cnf(refute_23_190,plain,
( op(unit,e3) != e3
| op(unit,e3) != op(e0,e3)
| op(e0,e3) = e3 ),
introduced(tautology,[equality,[$cnf( $equal(op(unit,e3),e3) ),[0],$fot(op(e0,e3))]]) ).
cnf(refute_23_191,plain,
( op(unit,e3) != e3
| op(e0,e3) = e3 ),
inference(resolve,[$cnf( $equal(op(unit,e3),op(e0,e3)) )],[refute_23_189,refute_23_190]) ).
cnf(refute_23_192,plain,
op(e0,e3) = e3,
inference(resolve,[$cnf( $equal(op(unit,e3),e3) )],[refute_23_185,refute_23_191]) ).
cnf(refute_23_193,plain,
( e3 != op(e1,e3)
| op(e0,e3) != e3
| op(e0,e3) = op(e1,e3) ),
introduced(tautology,[equality,[$cnf( $equal(op(e0,e3),e3) ),[1],$fot(op(e1,e3))]]) ).
cnf(refute_23_194,plain,
( e3 != op(e1,e3)
| op(e0,e3) = op(e1,e3) ),
inference(resolve,[$cnf( $equal(op(e0,e3),e3) )],[refute_23_192,refute_23_193]) ).
cnf(refute_23_195,plain,
e3 != op(e1,e3),
inference(resolve,[$cnf( $equal(op(e0,e3),op(e1,e3)) )],[refute_23_194,refute_23_184]) ).
cnf(refute_23_196,plain,
( op(e1,e3) != e3
| e3 = op(e1,e3) ),
inference(subst,[],[refute_23_5:[bind(X,$fot(op(e1,e3))),bind(Y,$fot(e3))]]) ).
cnf(refute_23_197,plain,
op(e1,e3) != e3,
inference(resolve,[$cnf( $equal(e3,op(e1,e3)) )],[refute_23_196,refute_23_195]) ).
cnf(refute_23_198,plain,
op(e1,e3) = e2,
inference(resolve,[$cnf( $equal(op(e1,e3),e3) )],[refute_23_183,refute_23_197]) ).
cnf(refute_23_199,plain,
( op(e2,e4) = e0
| op(e2,e4) = e1
| op(e2,e4) = e2
| op(e2,e4) = e3
| op(e2,e4) = e4 ),
inference(canonicalize,[],[normalize_23_32]) ).
cnf(refute_23_200,plain,
op(e2,e2) != op(e2,e4),
inference(canonicalize,[],[normalize_23_33]) ).
cnf(refute_23_201,plain,
( e3 != op(e2,e4)
| op(e2,e2) != e3
| op(e2,e2) = op(e2,e4) ),
introduced(tautology,[equality,[$cnf( $equal(op(e2,e2),e3) ),[1],$fot(op(e2,e4))]]) ).
cnf(refute_23_202,plain,
( e3 != op(e2,e4)
| op(e2,e2) = op(e2,e4) ),
inference(resolve,[$cnf( $equal(op(e2,e2),e3) )],[refute_23_57,refute_23_201]) ).
cnf(refute_23_203,plain,
e3 != op(e2,e4),
inference(resolve,[$cnf( $equal(op(e2,e2),op(e2,e4)) )],[refute_23_202,refute_23_200]) ).
cnf(refute_23_204,plain,
( op(e2,e4) != e3
| e3 = op(e2,e4) ),
inference(subst,[],[refute_23_5:[bind(X,$fot(op(e2,e4))),bind(Y,$fot(e3))]]) ).
cnf(refute_23_205,plain,
op(e2,e4) != e3,
inference(resolve,[$cnf( $equal(e3,op(e2,e4)) )],[refute_23_204,refute_23_203]) ).
cnf(refute_23_206,plain,
( op(e2,e4) = e0
| op(e2,e4) = e1
| op(e2,e4) = e2
| op(e2,e4) = e4 ),
inference(resolve,[$cnf( $equal(op(e2,e4),e3) )],[refute_23_199,refute_23_205]) ).
cnf(refute_23_207,plain,
op(e2,e1) != op(e2,e4),
inference(canonicalize,[],[normalize_23_34]) ).
cnf(refute_23_208,plain,
op(e0,e1) != op(e2,e1),
inference(canonicalize,[],[normalize_23_35]) ).
cnf(refute_23_209,plain,
op(unit,e1) = e1,
inference(canonicalize,[],[normalize_23_36]) ).
cnf(refute_23_210,plain,
op(unit,e1) = op(unit,e1),
introduced(tautology,[refl,[$fot(op(unit,e1))]]) ).
cnf(refute_23_211,plain,
( op(unit,e1) != op(unit,e1)
| unit != e0
| op(unit,e1) = op(e0,e1) ),
introduced(tautology,[equality,[$cnf( $equal(op(unit,e1),op(unit,e1)) ),[1,0],$fot(e0)]]) ).
cnf(refute_23_212,plain,
( unit != e0
| op(unit,e1) = op(e0,e1) ),
inference(resolve,[$cnf( $equal(op(unit,e1),op(unit,e1)) )],[refute_23_210,refute_23_211]) ).
cnf(refute_23_213,plain,
op(unit,e1) = op(e0,e1),
inference(resolve,[$cnf( $equal(unit,e0) )],[refute_23_170,refute_23_212]) ).
cnf(refute_23_214,plain,
( op(unit,e1) != e1
| op(unit,e1) != op(e0,e1)
| op(e0,e1) = e1 ),
introduced(tautology,[equality,[$cnf( $equal(op(unit,e1),e1) ),[0],$fot(op(e0,e1))]]) ).
cnf(refute_23_215,plain,
( op(unit,e1) != e1
| op(e0,e1) = e1 ),
inference(resolve,[$cnf( $equal(op(unit,e1),op(e0,e1)) )],[refute_23_213,refute_23_214]) ).
cnf(refute_23_216,plain,
op(e0,e1) = e1,
inference(resolve,[$cnf( $equal(op(unit,e1),e1) )],[refute_23_209,refute_23_215]) ).
cnf(refute_23_217,plain,
( e1 != op(e2,e1)
| op(e0,e1) != e1
| op(e0,e1) = op(e2,e1) ),
introduced(tautology,[equality,[$cnf( $equal(op(e0,e1),e1) ),[1],$fot(op(e2,e1))]]) ).
cnf(refute_23_218,plain,
( e1 != op(e2,e1)
| op(e0,e1) = op(e2,e1) ),
inference(resolve,[$cnf( $equal(op(e0,e1),e1) )],[refute_23_216,refute_23_217]) ).
cnf(refute_23_219,plain,
e1 != op(e2,e1),
inference(resolve,[$cnf( $equal(op(e0,e1),op(e2,e1)) )],[refute_23_218,refute_23_208]) ).
cnf(refute_23_220,plain,
( op(e2,e1) = e0
| op(e2,e1) = e1
| op(e2,e1) = e2
| op(e2,e1) = e3
| op(e2,e1) = e4 ),
inference(canonicalize,[],[normalize_23_37]) ).
cnf(refute_23_221,plain,
op(e2,e1) != op(e2,e2),
inference(canonicalize,[],[normalize_23_38]) ).
cnf(refute_23_222,plain,
( op(e2,e1) != e3
| op(e2,e2) != e3
| op(e2,e1) = op(e2,e2) ),
introduced(tautology,[equality,[$cnf( ~ $equal(op(e2,e1),op(e2,e2)) ),[1],$fot(e3)]]) ).
cnf(refute_23_223,plain,
( op(e2,e1) != e3
| op(e2,e1) = op(e2,e2) ),
inference(resolve,[$cnf( $equal(op(e2,e2),e3) )],[refute_23_57,refute_23_222]) ).
cnf(refute_23_224,plain,
op(e2,e1) != e3,
inference(resolve,[$cnf( $equal(op(e2,e1),op(e2,e2)) )],[refute_23_223,refute_23_221]) ).
cnf(refute_23_225,plain,
( op(e2,e1) = e0
| op(e2,e1) = e1
| op(e2,e1) = e2
| op(e2,e1) = e4 ),
inference(resolve,[$cnf( $equal(op(e2,e1),e3) )],[refute_23_220,refute_23_224]) ).
cnf(refute_23_226,plain,
op(e1,e1) != op(e2,e1),
inference(canonicalize,[],[normalize_23_39]) ).
cnf(refute_23_227,plain,
( e4 != op(e2,e1)
| op(e1,e1) != e4
| op(e1,e1) = op(e2,e1) ),
introduced(tautology,[equality,[$cnf( $equal(op(e1,e1),e4) ),[1],$fot(op(e2,e1))]]) ).
cnf(refute_23_228,plain,
( e4 != op(e2,e1)
| op(e1,e1) = op(e2,e1) ),
inference(resolve,[$cnf( $equal(op(e1,e1),e4) )],[refute_23_7,refute_23_227]) ).
cnf(refute_23_229,plain,
e4 != op(e2,e1),
inference(resolve,[$cnf( $equal(op(e1,e1),op(e2,e1)) )],[refute_23_228,refute_23_226]) ).
cnf(refute_23_230,plain,
( op(e2,e1) != e4
| e4 = op(e2,e1) ),
inference(subst,[],[refute_23_5:[bind(X,$fot(op(e2,e1))),bind(Y,$fot(e4))]]) ).
cnf(refute_23_231,plain,
op(e2,e1) != e4,
inference(resolve,[$cnf( $equal(e4,op(e2,e1)) )],[refute_23_230,refute_23_229]) ).
cnf(refute_23_232,plain,
( op(e2,e1) = e0
| op(e2,e1) = e1
| op(e2,e1) = e2 ),
inference(resolve,[$cnf( $equal(op(e2,e1),e4) )],[refute_23_225,refute_23_231]) ).
cnf(refute_23_233,plain,
( e1 != e1
| op(e2,e1) != e1
| e1 = op(e2,e1) ),
introduced(tautology,[equality,[$cnf( ~ $equal(e1,op(e2,e1)) ),[1],$fot(e1)]]) ).
cnf(refute_23_234,plain,
( e1 != e1
| e1 = op(e2,e1)
| op(e2,e1) = e0
| op(e2,e1) = e2 ),
inference(resolve,[$cnf( $equal(op(e2,e1),e1) )],[refute_23_232,refute_23_233]) ).
cnf(refute_23_235,plain,
( e1 != e1
| op(e2,e1) = e0
| op(e2,e1) = e2 ),
inference(resolve,[$cnf( $equal(e1,op(e2,e1)) )],[refute_23_234,refute_23_219]) ).
cnf(refute_23_236,plain,
( op(e2,e1) = e0
| op(e2,e1) = e2 ),
inference(resolve,[$cnf( $equal(e1,e1) )],[refute_23_131,refute_23_235]) ).
cnf(refute_23_237,plain,
op(e2,e0) != op(e2,e1),
inference(canonicalize,[],[normalize_23_40]) ).
cnf(refute_23_238,plain,
op(e2,unit) = e2,
inference(canonicalize,[],[normalize_23_41]) ).
cnf(refute_23_239,plain,
op(e2,unit) = op(e2,unit),
introduced(tautology,[refl,[$fot(op(e2,unit))]]) ).
cnf(refute_23_240,plain,
( op(e2,unit) != op(e2,unit)
| unit != e0
| op(e2,unit) = op(e2,e0) ),
introduced(tautology,[equality,[$cnf( $equal(op(e2,unit),op(e2,unit)) ),[1,1],$fot(e0)]]) ).
cnf(refute_23_241,plain,
( unit != e0
| op(e2,unit) = op(e2,e0) ),
inference(resolve,[$cnf( $equal(op(e2,unit),op(e2,unit)) )],[refute_23_239,refute_23_240]) ).
cnf(refute_23_242,plain,
op(e2,unit) = op(e2,e0),
inference(resolve,[$cnf( $equal(unit,e0) )],[refute_23_170,refute_23_241]) ).
cnf(refute_23_243,plain,
( op(e2,unit) != e2
| op(e2,unit) != op(e2,e0)
| op(e2,e0) = e2 ),
introduced(tautology,[equality,[$cnf( $equal(op(e2,unit),e2) ),[0],$fot(op(e2,e0))]]) ).
cnf(refute_23_244,plain,
( op(e2,unit) != e2
| op(e2,e0) = e2 ),
inference(resolve,[$cnf( $equal(op(e2,unit),op(e2,e0)) )],[refute_23_242,refute_23_243]) ).
cnf(refute_23_245,plain,
op(e2,e0) = e2,
inference(resolve,[$cnf( $equal(op(e2,unit),e2) )],[refute_23_238,refute_23_244]) ).
cnf(refute_23_246,plain,
( e2 != op(e2,e1)
| op(e2,e0) != e2
| op(e2,e0) = op(e2,e1) ),
introduced(tautology,[equality,[$cnf( $equal(op(e2,e0),e2) ),[1],$fot(op(e2,e1))]]) ).
cnf(refute_23_247,plain,
( e2 != op(e2,e1)
| op(e2,e0) = op(e2,e1) ),
inference(resolve,[$cnf( $equal(op(e2,e0),e2) )],[refute_23_245,refute_23_246]) ).
cnf(refute_23_248,plain,
e2 != op(e2,e1),
inference(resolve,[$cnf( $equal(op(e2,e0),op(e2,e1)) )],[refute_23_247,refute_23_237]) ).
cnf(refute_23_249,plain,
( op(e2,e1) != e2
| e2 = op(e2,e1) ),
inference(subst,[],[refute_23_5:[bind(X,$fot(op(e2,e1))),bind(Y,$fot(e2))]]) ).
cnf(refute_23_250,plain,
op(e2,e1) != e2,
inference(resolve,[$cnf( $equal(e2,op(e2,e1)) )],[refute_23_249,refute_23_248]) ).
cnf(refute_23_251,plain,
op(e2,e1) = e0,
inference(resolve,[$cnf( $equal(op(e2,e1),e2) )],[refute_23_236,refute_23_250]) ).
cnf(refute_23_252,plain,
( e0 != op(e2,e4)
| op(e2,e1) != e0
| op(e2,e1) = op(e2,e4) ),
introduced(tautology,[equality,[$cnf( $equal(op(e2,e1),e0) ),[1],$fot(op(e2,e4))]]) ).
cnf(refute_23_253,plain,
( e0 != op(e2,e4)
| op(e2,e1) = op(e2,e4) ),
inference(resolve,[$cnf( $equal(op(e2,e1),e0) )],[refute_23_251,refute_23_252]) ).
cnf(refute_23_254,plain,
e0 != op(e2,e4),
inference(resolve,[$cnf( $equal(op(e2,e1),op(e2,e4)) )],[refute_23_253,refute_23_207]) ).
cnf(refute_23_255,plain,
( op(e2,e4) != e0
| e0 = op(e2,e4) ),
inference(subst,[],[refute_23_5:[bind(X,$fot(op(e2,e4))),bind(Y,$fot(e0))]]) ).
cnf(refute_23_256,plain,
op(e2,e4) != e0,
inference(resolve,[$cnf( $equal(e0,op(e2,e4)) )],[refute_23_255,refute_23_254]) ).
cnf(refute_23_257,plain,
( op(e2,e4) = e1
| op(e2,e4) = e2
| op(e2,e4) = e4 ),
inference(resolve,[$cnf( $equal(op(e2,e4),e0) )],[refute_23_206,refute_23_256]) ).
cnf(refute_23_258,plain,
op(e2,e4) != op(e4,e4),
inference(canonicalize,[],[normalize_23_42]) ).
cnf(refute_23_259,plain,
( op(e2,e4) != e2
| op(e4,e4) != e2
| op(e2,e4) = op(e4,e4) ),
introduced(tautology,[equality,[$cnf( ~ $equal(op(e2,e4),op(e4,e4)) ),[1],$fot(e2)]]) ).
cnf(refute_23_260,plain,
( op(e2,e4) != e2
| op(e2,e4) = op(e4,e4) ),
inference(resolve,[$cnf( $equal(op(e4,e4),e2) )],[refute_23_76,refute_23_259]) ).
cnf(refute_23_261,plain,
op(e2,e4) != e2,
inference(resolve,[$cnf( $equal(op(e2,e4),op(e4,e4)) )],[refute_23_260,refute_23_258]) ).
cnf(refute_23_262,plain,
( op(e2,e4) = e1
| op(e2,e4) = e4 ),
inference(resolve,[$cnf( $equal(op(e2,e4),e2) )],[refute_23_257,refute_23_261]) ).
cnf(refute_23_263,plain,
op(e0,e4) != op(e2,e4),
inference(canonicalize,[],[normalize_23_43]) ).
cnf(refute_23_264,plain,
op(unit,e4) = e4,
inference(canonicalize,[],[normalize_23_44]) ).
cnf(refute_23_265,plain,
op(unit,e4) = op(unit,e4),
introduced(tautology,[refl,[$fot(op(unit,e4))]]) ).
cnf(refute_23_266,plain,
( op(unit,e4) != op(unit,e4)
| unit != e0
| op(unit,e4) = op(e0,e4) ),
introduced(tautology,[equality,[$cnf( $equal(op(unit,e4),op(unit,e4)) ),[1,0],$fot(e0)]]) ).
cnf(refute_23_267,plain,
( unit != e0
| op(unit,e4) = op(e0,e4) ),
inference(resolve,[$cnf( $equal(op(unit,e4),op(unit,e4)) )],[refute_23_265,refute_23_266]) ).
cnf(refute_23_268,plain,
op(unit,e4) = op(e0,e4),
inference(resolve,[$cnf( $equal(unit,e0) )],[refute_23_170,refute_23_267]) ).
cnf(refute_23_269,plain,
( op(unit,e4) != e4
| op(unit,e4) != op(e0,e4)
| op(e0,e4) = e4 ),
introduced(tautology,[equality,[$cnf( $equal(op(unit,e4),e4) ),[0],$fot(op(e0,e4))]]) ).
cnf(refute_23_270,plain,
( op(unit,e4) != e4
| op(e0,e4) = e4 ),
inference(resolve,[$cnf( $equal(op(unit,e4),op(e0,e4)) )],[refute_23_268,refute_23_269]) ).
cnf(refute_23_271,plain,
op(e0,e4) = e4,
inference(resolve,[$cnf( $equal(op(unit,e4),e4) )],[refute_23_264,refute_23_270]) ).
cnf(refute_23_272,plain,
( e4 != op(e2,e4)
| op(e0,e4) != e4
| op(e0,e4) = op(e2,e4) ),
introduced(tautology,[equality,[$cnf( $equal(op(e0,e4),e4) ),[1],$fot(op(e2,e4))]]) ).
cnf(refute_23_273,plain,
( e4 != op(e2,e4)
| op(e0,e4) = op(e2,e4) ),
inference(resolve,[$cnf( $equal(op(e0,e4),e4) )],[refute_23_271,refute_23_272]) ).
cnf(refute_23_274,plain,
e4 != op(e2,e4),
inference(resolve,[$cnf( $equal(op(e0,e4),op(e2,e4)) )],[refute_23_273,refute_23_263]) ).
cnf(refute_23_275,plain,
( op(e2,e4) != e4
| e4 = op(e2,e4) ),
inference(subst,[],[refute_23_5:[bind(X,$fot(op(e2,e4))),bind(Y,$fot(e4))]]) ).
cnf(refute_23_276,plain,
op(e2,e4) != e4,
inference(resolve,[$cnf( $equal(e4,op(e2,e4)) )],[refute_23_275,refute_23_274]) ).
cnf(refute_23_277,plain,
op(e2,e4) = e1,
inference(resolve,[$cnf( $equal(op(e2,e4),e4) )],[refute_23_262,refute_23_276]) ).
cnf(refute_23_278,plain,
op(op(e4,e3),e3) = e4,
inference(canonicalize,[],[normalize_23_45]) ).
cnf(refute_23_279,plain,
( op(e0,e3) = e0
| op(e1,e3) = e0
| op(e2,e3) = e0
| op(e3,e3) = e0
| op(e4,e3) = e0 ),
inference(canonicalize,[],[normalize_23_47]) ).
cnf(refute_23_280,plain,
( op(e0,e3) != e0
| op(e0,e3) != e3
| e3 = e0 ),
introduced(tautology,[equality,[$cnf( $equal(op(e0,e3),e0) ),[0],$fot(e3)]]) ).
cnf(refute_23_281,plain,
( op(e0,e3) != e0
| e3 = e0 ),
inference(resolve,[$cnf( $equal(op(e0,e3),e3) )],[refute_23_192,refute_23_280]) ).
cnf(refute_23_282,plain,
( e3 = e0
| op(e1,e3) = e0
| op(e2,e3) = e0
| op(e3,e3) = e0
| op(e4,e3) = e0 ),
inference(resolve,[$cnf( $equal(op(e0,e3),e0) )],[refute_23_279,refute_23_281]) ).
cnf(refute_23_283,plain,
( op(e1,e3) != e0
| op(e1,e3) != e2
| e2 = e0 ),
introduced(tautology,[equality,[$cnf( $equal(op(e1,e3),e0) ),[0],$fot(e2)]]) ).
cnf(refute_23_284,plain,
( op(e1,e3) != e0
| e2 = e0 ),
inference(resolve,[$cnf( $equal(op(e1,e3),e2) )],[refute_23_198,refute_23_283]) ).
cnf(refute_23_285,plain,
( e2 = e0
| e3 = e0
| op(e2,e3) = e0
| op(e3,e3) = e0
| op(e4,e3) = e0 ),
inference(resolve,[$cnf( $equal(op(e1,e3),e0) )],[refute_23_282,refute_23_284]) ).
cnf(refute_23_286,plain,
( op(e2,e0) = e4
| op(e2,e1) = e4
| op(e2,e2) = e4
| op(e2,e3) = e4
| op(e2,e4) = e4 ),
inference(canonicalize,[],[normalize_23_48]) ).
cnf(refute_23_287,plain,
( op(e2,e2) != e3
| op(e2,e2) != e4
| e3 = e4 ),
introduced(tautology,[equality,[$cnf( $equal(op(e2,e2),e4) ),[0],$fot(e3)]]) ).
cnf(refute_23_288,plain,
( op(e2,e2) != e4
| e3 = e4 ),
inference(resolve,[$cnf( $equal(op(e2,e2),e3) )],[refute_23_57,refute_23_287]) ).
cnf(refute_23_289,plain,
( e3 = e4
| op(e2,e0) = e4
| op(e2,e1) = e4
| op(e2,e3) = e4
| op(e2,e4) = e4 ),
inference(resolve,[$cnf( $equal(op(e2,e2),e4) )],[refute_23_286,refute_23_288]) ).
cnf(refute_23_290,plain,
e3 != e4,
inference(canonicalize,[],[normalize_23_49]) ).
cnf(refute_23_291,plain,
( op(e2,e0) = e4
| op(e2,e1) = e4
| op(e2,e3) = e4
| op(e2,e4) = e4 ),
inference(resolve,[$cnf( $equal(e3,e4) )],[refute_23_289,refute_23_290]) ).
cnf(refute_23_292,plain,
( op(e2,e0) = e4
| op(e2,e3) = e4
| op(e2,e4) = e4 ),
inference(resolve,[$cnf( $equal(op(e2,e1),e4) )],[refute_23_291,refute_23_231]) ).
cnf(refute_23_293,plain,
( op(e2,e0) != e2
| op(e2,e0) != e4
| e2 = e4 ),
introduced(tautology,[equality,[$cnf( $equal(op(e2,e0),e4) ),[0],$fot(e2)]]) ).
cnf(refute_23_294,plain,
( op(e2,e0) != e4
| e2 = e4 ),
inference(resolve,[$cnf( $equal(op(e2,e0),e2) )],[refute_23_245,refute_23_293]) ).
cnf(refute_23_295,plain,
( e2 = e4
| op(e2,e3) = e4
| op(e2,e4) = e4 ),
inference(resolve,[$cnf( $equal(op(e2,e0),e4) )],[refute_23_292,refute_23_294]) ).
cnf(refute_23_296,plain,
e2 != e4,
inference(canonicalize,[],[normalize_23_50]) ).
cnf(refute_23_297,plain,
( op(e2,e3) = e4
| op(e2,e4) = e4 ),
inference(resolve,[$cnf( $equal(e2,e4) )],[refute_23_295,refute_23_296]) ).
cnf(refute_23_298,plain,
op(e2,e3) = e4,
inference(resolve,[$cnf( $equal(op(e2,e4),e4) )],[refute_23_297,refute_23_276]) ).
cnf(refute_23_299,plain,
( op(e2,e3) != e0
| op(e2,e3) != e4
| e4 = e0 ),
introduced(tautology,[equality,[$cnf( $equal(op(e2,e3),e0) ),[0],$fot(e4)]]) ).
cnf(refute_23_300,plain,
( op(e2,e3) != e0
| e4 = e0 ),
inference(resolve,[$cnf( $equal(op(e2,e3),e4) )],[refute_23_298,refute_23_299]) ).
cnf(refute_23_301,plain,
( e2 = e0
| e3 = e0
| e4 = e0
| op(e3,e3) = e0
| op(e4,e3) = e0 ),
inference(resolve,[$cnf( $equal(op(e2,e3),e0) )],[refute_23_285,refute_23_300]) ).
cnf(refute_23_302,plain,
( op(e3,e3) != e0
| op(e3,e3) != e1
| e1 = e0 ),
introduced(tautology,[equality,[$cnf( $equal(op(e3,e3),e0) ),[0],$fot(e1)]]) ).
cnf(refute_23_303,plain,
( op(e3,e3) != e0
| e1 = e0 ),
inference(resolve,[$cnf( $equal(op(e3,e3),e1) )],[refute_23_180,refute_23_302]) ).
cnf(refute_23_304,plain,
( e1 = e0
| e2 = e0
| e3 = e0
| e4 = e0
| op(e4,e3) = e0 ),
inference(resolve,[$cnf( $equal(op(e3,e3),e0) )],[refute_23_301,refute_23_303]) ).
cnf(refute_23_305,plain,
( e1 != e0
| e0 = e1 ),
inference(subst,[],[refute_23_5:[bind(X,$fot(e1)),bind(Y,$fot(e0))]]) ).
cnf(refute_23_306,plain,
e1 != e0,
inference(resolve,[$cnf( $equal(e0,e1) )],[refute_23_305,refute_23_169]) ).
cnf(refute_23_307,plain,
( e2 = e0
| e3 = e0
| e4 = e0
| op(e4,e3) = e0 ),
inference(resolve,[$cnf( $equal(e1,e0) )],[refute_23_304,refute_23_306]) ).
cnf(refute_23_308,plain,
( e3 = e0
| e4 = e0
| op(e4,e3) = e0 ),
inference(resolve,[$cnf( $equal(e2,e0) )],[refute_23_307,refute_23_145]) ).
cnf(refute_23_309,plain,
( e4 = e0
| op(e4,e3) = e0 ),
inference(resolve,[$cnf( $equal(e3,e0) )],[refute_23_308,refute_23_149]) ).
cnf(refute_23_310,plain,
op(e4,e3) = e0,
inference(resolve,[$cnf( $equal(e4,e0) )],[refute_23_309,refute_23_153]) ).
cnf(refute_23_311,plain,
op(op(e4,e3),e3) = op(op(e4,e3),e3),
introduced(tautology,[refl,[$fot(op(op(e4,e3),e3))]]) ).
cnf(refute_23_312,plain,
( op(e4,e3) != e0
| op(op(e4,e3),e3) != op(op(e4,e3),e3)
| op(op(e4,e3),e3) = op(e0,e3) ),
introduced(tautology,[equality,[$cnf( $equal(op(op(e4,e3),e3),op(op(e4,e3),e3)) ),[1,0],$fot(e0)]]) ).
cnf(refute_23_313,plain,
( op(e4,e3) != e0
| op(op(e4,e3),e3) = op(e0,e3) ),
inference(resolve,[$cnf( $equal(op(op(e4,e3),e3),op(op(e4,e3),e3)) )],[refute_23_311,refute_23_312]) ).
cnf(refute_23_314,plain,
op(op(e4,e3),e3) = op(e0,e3),
inference(resolve,[$cnf( $equal(op(e4,e3),e0) )],[refute_23_310,refute_23_313]) ).
cnf(refute_23_315,plain,
( op(e0,e3) != e3
| op(op(e4,e3),e3) != op(e0,e3)
| op(op(e4,e3),e3) = e3 ),
inference(subst,[],[refute_23_49:[bind(X,$fot(op(op(e4,e3),e3))),bind(Y,$fot(op(e0,e3))),bind(Z,$fot(e3))]]) ).
cnf(refute_23_316,plain,
( op(e0,e3) != e3
| op(op(e4,e3),e3) = e3 ),
inference(resolve,[$cnf( $equal(op(op(e4,e3),e3),op(e0,e3)) )],[refute_23_314,refute_23_315]) ).
cnf(refute_23_317,plain,
op(op(e4,e3),e3) = e3,
inference(resolve,[$cnf( $equal(op(e0,e3),e3) )],[refute_23_192,refute_23_316]) ).
cnf(refute_23_318,plain,
( op(op(e4,e3),e3) != e3
| op(op(e4,e3),e3) != e4
| e3 = e4 ),
introduced(tautology,[equality,[$cnf( $equal(op(op(e4,e3),e3),e4) ),[0],$fot(e3)]]) ).
cnf(refute_23_319,plain,
( op(op(e4,e3),e3) != e4
| e3 = e4 ),
inference(resolve,[$cnf( $equal(op(op(e4,e3),e3),e3) )],[refute_23_317,refute_23_318]) ).
cnf(refute_23_320,plain,
e3 = e4,
inference(resolve,[$cnf( $equal(op(op(e4,e3),e3),e4) )],[refute_23_278,refute_23_319]) ).
cnf(refute_23_321,plain,
( e3 != e4
| e4 = e3 ),
inference(subst,[],[refute_23_5:[bind(X,$fot(e3)),bind(Y,$fot(e4))]]) ).
cnf(refute_23_322,plain,
e4 = e3,
inference(resolve,[$cnf( $equal(e3,e4) )],[refute_23_320,refute_23_321]) ).
cnf(refute_23_323,plain,
( e4 != e3
| op(e2,e3) != e4
| op(e2,e3) = e3 ),
inference(subst,[],[refute_23_49:[bind(X,$fot(op(e2,e3))),bind(Y,$fot(e4)),bind(Z,$fot(e3))]]) ).
cnf(refute_23_324,plain,
( e4 != e3
| op(e2,e3) = e3 ),
inference(resolve,[$cnf( $equal(op(e2,e3),e4) )],[refute_23_298,refute_23_323]) ).
cnf(refute_23_325,plain,
op(e2,e3) = e3,
inference(resolve,[$cnf( $equal(e4,e3) )],[refute_23_322,refute_23_324]) ).
cnf(refute_23_326,plain,
op(e2,e4) = op(e2,e4),
introduced(tautology,[refl,[$fot(op(e2,e4))]]) ).
cnf(refute_23_327,plain,
( e4 != e3
| op(e2,e4) != op(e2,e4)
| op(e2,e4) = op(e2,e3) ),
introduced(tautology,[equality,[$cnf( $equal(op(e2,e4),op(e2,e4)) ),[1,1],$fot(e3)]]) ).
cnf(refute_23_328,plain,
( e4 != e3
| op(e2,e4) = op(e2,e3) ),
inference(resolve,[$cnf( $equal(op(e2,e4),op(e2,e4)) )],[refute_23_326,refute_23_327]) ).
cnf(refute_23_329,plain,
op(e2,e4) = op(e2,e3),
inference(resolve,[$cnf( $equal(e4,e3) )],[refute_23_322,refute_23_328]) ).
cnf(refute_23_330,plain,
( op(e2,e3) != e3
| op(e2,e4) != op(e2,e3)
| op(e2,e4) = e3 ),
inference(subst,[],[refute_23_49:[bind(X,$fot(op(e2,e4))),bind(Y,$fot(op(e2,e3))),bind(Z,$fot(e3))]]) ).
cnf(refute_23_331,plain,
( op(e2,e3) != e3
| op(e2,e4) = e3 ),
inference(resolve,[$cnf( $equal(op(e2,e4),op(e2,e3)) )],[refute_23_329,refute_23_330]) ).
cnf(refute_23_332,plain,
op(e2,e4) = e3,
inference(resolve,[$cnf( $equal(op(e2,e3),e3) )],[refute_23_325,refute_23_331]) ).
cnf(refute_23_333,plain,
( op(e2,e4) != e1
| op(e2,e4) != e3
| e3 = e1 ),
introduced(tautology,[equality,[$cnf( $equal(op(e2,e4),e1) ),[0],$fot(e3)]]) ).
cnf(refute_23_334,plain,
( op(e2,e4) != e1
| e3 = e1 ),
inference(resolve,[$cnf( $equal(op(e2,e4),e3) )],[refute_23_332,refute_23_333]) ).
cnf(refute_23_335,plain,
e3 = e1,
inference(resolve,[$cnf( $equal(op(e2,e4),e1) )],[refute_23_277,refute_23_334]) ).
cnf(refute_23_336,plain,
( e3 != e1
| e4 != e3
| e4 = e1 ),
inference(subst,[],[refute_23_49:[bind(X,$fot(e4)),bind(Y,$fot(e3)),bind(Z,$fot(e1))]]) ).
cnf(refute_23_337,plain,
( e3 != e1
| e4 = e1 ),
inference(resolve,[$cnf( $equal(e4,e3) )],[refute_23_322,refute_23_336]) ).
cnf(refute_23_338,plain,
e4 = e1,
inference(resolve,[$cnf( $equal(e3,e1) )],[refute_23_335,refute_23_337]) ).
cnf(refute_23_339,plain,
( e4 != e1
| op(e1,e1) != e4
| op(e1,e1) = e1 ),
inference(subst,[],[refute_23_49:[bind(X,$fot(op(e1,e1))),bind(Y,$fot(e4)),bind(Z,$fot(e1))]]) ).
cnf(refute_23_340,plain,
( e4 != e1
| op(e1,e1) = e1 ),
inference(resolve,[$cnf( $equal(op(e1,e1),e4) )],[refute_23_7,refute_23_339]) ).
cnf(refute_23_341,plain,
op(e1,e1) = e1,
inference(resolve,[$cnf( $equal(e4,e1) )],[refute_23_338,refute_23_340]) ).
cnf(refute_23_342,plain,
op(e1,e3) = op(e1,e3),
introduced(tautology,[refl,[$fot(op(e1,e3))]]) ).
cnf(refute_23_343,plain,
( e3 != e1
| op(e1,e3) != op(e1,e3)
| op(e1,e3) = op(e1,e1) ),
introduced(tautology,[equality,[$cnf( $equal(op(e1,e3),op(e1,e3)) ),[1,1],$fot(e1)]]) ).
cnf(refute_23_344,plain,
( e3 != e1
| op(e1,e3) = op(e1,e1) ),
inference(resolve,[$cnf( $equal(op(e1,e3),op(e1,e3)) )],[refute_23_342,refute_23_343]) ).
cnf(refute_23_345,plain,
op(e1,e3) = op(e1,e1),
inference(resolve,[$cnf( $equal(e3,e1) )],[refute_23_335,refute_23_344]) ).
cnf(refute_23_346,plain,
( op(e1,e1) != e1
| op(e1,e3) != op(e1,e1)
| op(e1,e3) = e1 ),
inference(subst,[],[refute_23_49:[bind(X,$fot(op(e1,e3))),bind(Y,$fot(op(e1,e1))),bind(Z,$fot(e1))]]) ).
cnf(refute_23_347,plain,
( op(e1,e1) != e1
| op(e1,e3) = e1 ),
inference(resolve,[$cnf( $equal(op(e1,e3),op(e1,e1)) )],[refute_23_345,refute_23_346]) ).
cnf(refute_23_348,plain,
op(e1,e3) = e1,
inference(resolve,[$cnf( $equal(op(e1,e1),e1) )],[refute_23_341,refute_23_347]) ).
cnf(refute_23_349,plain,
( op(e1,e3) != e1
| op(e1,e3) != e2
| e1 = e2 ),
introduced(tautology,[equality,[$cnf( $equal(op(e1,e3),e2) ),[0],$fot(e1)]]) ).
cnf(refute_23_350,plain,
( op(e1,e3) != e2
| e1 = e2 ),
inference(resolve,[$cnf( $equal(op(e1,e3),e1) )],[refute_23_348,refute_23_349]) ).
cnf(refute_23_351,plain,
e1 = e2,
inference(resolve,[$cnf( $equal(op(e1,e3),e2) )],[refute_23_198,refute_23_350]) ).
cnf(refute_23_352,plain,
op(e4,e3) = op(e4,e3),
introduced(tautology,[refl,[$fot(op(e4,e3))]]) ).
cnf(refute_23_353,plain,
( e4 != e1
| op(e4,e3) != op(e4,e3)
| op(e4,e3) = op(e1,e3) ),
introduced(tautology,[equality,[$cnf( $equal(op(e4,e3),op(e4,e3)) ),[1,0],$fot(e1)]]) ).
cnf(refute_23_354,plain,
( e4 != e1
| op(e4,e3) = op(e1,e3) ),
inference(resolve,[$cnf( $equal(op(e4,e3),op(e4,e3)) )],[refute_23_352,refute_23_353]) ).
cnf(refute_23_355,plain,
op(e4,e3) = op(e1,e3),
inference(resolve,[$cnf( $equal(e4,e1) )],[refute_23_338,refute_23_354]) ).
cnf(refute_23_356,plain,
( op(e1,e3) != op(e1,e1)
| op(e4,e3) != op(e1,e3)
| op(e4,e3) = op(e1,e1) ),
inference(subst,[],[refute_23_49:[bind(X,$fot(op(e4,e3))),bind(Y,$fot(op(e1,e3))),bind(Z,$fot(op(e1,e1)))]]) ).
cnf(refute_23_357,plain,
( op(e1,e3) != op(e1,e1)
| op(e4,e3) = op(e1,e1) ),
inference(resolve,[$cnf( $equal(op(e4,e3),op(e1,e3)) )],[refute_23_355,refute_23_356]) ).
cnf(refute_23_358,plain,
op(e4,e3) = op(e1,e1),
inference(resolve,[$cnf( $equal(op(e1,e3),op(e1,e1)) )],[refute_23_345,refute_23_357]) ).
cnf(refute_23_359,plain,
( op(e1,e1) != e1
| op(e4,e3) != op(e1,e1)
| op(e4,e3) = e1 ),
inference(subst,[],[refute_23_49:[bind(X,$fot(op(e4,e3))),bind(Y,$fot(op(e1,e1))),bind(Z,$fot(e1))]]) ).
cnf(refute_23_360,plain,
( op(e1,e1) != e1
| op(e4,e3) = e1 ),
inference(resolve,[$cnf( $equal(op(e4,e3),op(e1,e1)) )],[refute_23_358,refute_23_359]) ).
cnf(refute_23_361,plain,
op(e4,e3) = e1,
inference(resolve,[$cnf( $equal(op(e1,e1),e1) )],[refute_23_341,refute_23_360]) ).
cnf(refute_23_362,plain,
( op(e4,e3) != e0
| op(e4,e3) != e1
| e1 = e0 ),
introduced(tautology,[equality,[$cnf( $equal(op(e4,e3),e0) ),[0],$fot(e1)]]) ).
cnf(refute_23_363,plain,
( op(e4,e3) != e0
| e1 = e0 ),
inference(resolve,[$cnf( $equal(op(e4,e3),e1) )],[refute_23_361,refute_23_362]) ).
cnf(refute_23_364,plain,
e1 = e0,
inference(resolve,[$cnf( $equal(op(e4,e3),e0) )],[refute_23_310,refute_23_363]) ).
cnf(refute_23_365,plain,
( e1 != e0
| e1 != e2
| e0 = e2 ),
introduced(tautology,[equality,[$cnf( $equal(e1,e2) ),[0],$fot(e0)]]) ).
cnf(refute_23_366,plain,
( e1 != e2
| e0 = e2 ),
inference(resolve,[$cnf( $equal(e1,e0) )],[refute_23_364,refute_23_365]) ).
cnf(refute_23_367,plain,
e0 = e2,
inference(resolve,[$cnf( $equal(e1,e2) )],[refute_23_351,refute_23_366]) ).
cnf(refute_23_368,plain,
$false,
inference(resolve,[$cnf( $equal(e0,e2) )],[refute_23_367,refute_23_105]) ).
fof(negate_24_0,plain,
~ ( ( ( op(e0,e0) = e0
| op(e1,e1) = e0
| op(e2,e2) = e0
| op(e3,e3) = e0
| op(e4,e4) = e0 )
& ( op(e0,e0) = e1
| op(e1,e1) = e1
| op(e2,e2) = e1
| op(e3,e3) = e1
| op(e4,e4) = e1 )
& ( op(e0,e0) = e2
| op(e1,e1) = e2
| op(e2,e2) = e2
| op(e3,e3) = e2
| op(e4,e4) = e2 )
& ( op(e0,e0) = e3
| op(e1,e1) = e3
| op(e2,e2) = e3
| op(e3,e3) = e3
| op(e4,e4) = e3 )
& ( op(e0,e0) = e4
| op(e1,e1) = e4
| op(e2,e2) = e4
| op(e3,e3) = e4
| op(e4,e4) = e4 )
& ~ ( op(e0,e0) != op(e0,e0)
& op(op(e0,e0),e0) = e0
& op(op(e0,e0),e0) != e0 )
& ~ ( op(e1,e0) != op(e0,e1)
& op(op(e0,e1),e1) = e0
& op(op(e0,e1),e0) != e1 )
& ~ ( op(e2,e0) != op(e0,e2)
& op(op(e0,e2),e2) = e0
& op(op(e0,e2),e0) != e2 )
& ~ ( op(e3,e0) != op(e0,e3)
& op(op(e0,e3),e3) = e0
& op(op(e0,e3),e0) != e3 )
& ~ ( op(e4,e0) != op(e0,e4)
& op(op(e0,e4),e4) = e0
& op(op(e0,e4),e0) != e4 )
& ~ ( op(e0,e1) != op(e1,e0)
& op(op(e1,e0),e0) = e1
& op(op(e1,e0),e1) != e0 )
& ~ ( op(e1,e1) != op(e1,e1)
& op(op(e1,e1),e1) = e1
& op(op(e1,e1),e1) != e1 )
& ~ ( op(e2,e1) != op(e1,e2)
& op(op(e1,e2),e2) = e1
& op(op(e1,e2),e1) != e2 )
& ~ ( op(e3,e1) != op(e1,e3)
& op(op(e1,e3),e3) = e1
& op(op(e1,e3),e1) != e3 )
& ~ ( op(e4,e1) != op(e1,e4)
& op(op(e1,e4),e4) = e1
& op(op(e1,e4),e1) != e4 )
& ~ ( op(e0,e2) != op(e2,e0)
& op(op(e2,e0),e0) = e2
& op(op(e2,e0),e2) != e0 )
& ~ ( op(e1,e2) != op(e2,e1)
& op(op(e2,e1),e1) = e2
& op(op(e2,e1),e2) != e1 )
& ~ ( op(e2,e2) != op(e2,e2)
& op(op(e2,e2),e2) = e2
& op(op(e2,e2),e2) != e2 )
& ~ ( op(e3,e2) != op(e2,e3)
& op(op(e2,e3),e3) = e2
& op(op(e2,e3),e2) != e3 )
& ~ ( op(e4,e2) != op(e2,e4)
& op(op(e2,e4),e4) = e2
& op(op(e2,e4),e2) != e4 )
& ~ ( op(e0,e3) != op(e3,e0)
& op(op(e3,e0),e0) = e3
& op(op(e3,e0),e3) != e0 )
& ~ ( op(e1,e3) != op(e3,e1)
& op(op(e3,e1),e1) = e3
& op(op(e3,e1),e3) != e1 )
& ~ ( op(e2,e3) != op(e3,e2)
& op(op(e3,e2),e2) = e3
& op(op(e3,e2),e3) != e2 )
& ~ ( op(e3,e3) != op(e3,e3)
& op(op(e3,e3),e3) = e3
& op(op(e3,e3),e3) != e3 )
& ~ ( op(e4,e3) != op(e3,e4)
& op(op(e3,e4),e4) = e3
& op(op(e3,e4),e3) != e4 )
& ~ ( op(e0,e4) != op(e4,e0)
& op(op(e4,e0),e0) = e4
& op(op(e4,e0),e4) != e0 )
& ~ ( op(e1,e4) != op(e4,e1)
& op(op(e4,e1),e1) = e4
& op(op(e4,e1),e4) != e1 )
& ~ ( op(e2,e4) != op(e4,e2)
& op(op(e4,e2),e2) = e4
& op(op(e4,e2),e4) != e2 )
& ~ ( op(e3,e4) != op(e4,e3)
& op(op(e4,e3),e3) = e4
& op(op(e4,e3),e4) != e3 )
& op(e4,e4) != op(e4,e4)
& op(op(e4,e4),e4) = e4 )
=> op(op(e4,e4),e4) = e4 ),
inference(negate,[],[subgoal_24]) ).
fof(normalize_24_0,plain,
$false,
inference(canonicalize,[],[negate_24_0]) ).
cnf(refute_24_0,plain,
$false,
inference(canonicalize,[],[normalize_24_0]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : ALG064+1 : TPTP v8.1.0. Released v2.7.0.
% 0.03/0.12 % Command : metis --show proof --show saturation %s
% 0.12/0.33 % Computer : n019.cluster.edu
% 0.12/0.33 % Model : x86_64 x86_64
% 0.12/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33 % Memory : 8042.1875MB
% 0.12/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33 % CPULimit : 300
% 0.12/0.33 % WCLimit : 600
% 0.12/0.33 % DateTime : Wed Jun 8 12:12:55 EDT 2022
% 0.12/0.33 % CPUTime :
% 0.12/0.33 %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
% 3.79/3.95 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 3.79/3.95
% 3.79/3.95 % SZS output start CNFRefutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% See solution above
% 4.10/4.30
%------------------------------------------------------------------------------