%------------------------------------------------------------------------------
% File : Z3---4.15.1
% Problem : SWV211+1 : TPTP v9.0.0. Bugfixed v3.3.0.
% Transfm : none
% Format : tptp
% Command : run_E %s %d THM
% Computer : n011.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 : 300s
% DateTime : Sat Jun 21 05:31:43 AM UTC 2025
% Result : Theorem 0.20s 0.39s
% Output : Proof 0.20s
% Verified :
% SZS Type : Refutation
% Derivation depth : 9
% Number of leaves : 18
% Syntax : Number of formulae : 47 ( 2 unt; 0 typ; 0 def)
% Number of atoms : 11257 (10982 equ)
% Maximal formula atoms : 156 ( 239 avg)
% Number of connectives : 16155 (5176 ~; 336 |;10463 &)
% ( 160 <=>; 20 =>; 0 <=; 0 <~>)
% Maximal formula depth : 45 ( 13 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of FOOLs : 231 ( 231 fml; 0 var)
% Number of types : 2 ( 0 usr)
% Number of type conns : 0 ( 0 >; 0 *; 0 +; 0 <<)
% Number of predicates : 8 ( 5 usr; 2 prp; 0-3 aty)
% Number of functors : 11 ( 11 usr; 8 con; 0-2 aty)
% Number of variables : 24 ( 22 !; 0 ?; 24 :)
% Comments :
%------------------------------------------------------------------------------
tff(times_type,type,
times: ( $i * $i ) > $i ).
tff(a_select2_type,type,
a_select2: ( $i * $i ) > $i ).
tff(n0_type,type,
n0: $i ).
tff(sigma_type,type,
sigma: $i ).
tff(divide_type,type,
divide: ( $i * $i ) > $i ).
tff(n400_type,type,
n400: $i ).
tff(n1_type,type,
n1: $i ).
tff(n5_type,type,
n5: $i ).
tff(n4_type,type,
n4: $i ).
tff(n3_type,type,
n3: $i ).
tff(n2_type,type,
n2: $i ).
tff(leq_type,type,
leq: ( $i * $i ) > $o ).
tff(1,plain,
( ~ $true
<=> $false ),
inference(rewrite,[status(thm)],[]) ).
tff(2,plain,
( ( ~ leq(n0,n5)
| ( n0 = times(divide(n1,n400),a_select2(sigma,n0)) )
| ~ leq(n0,n1)
| ~ leq(n0,n0)
| ~ leq(n1,n5)
| ( ( n0 = n1 )
& ( n1 = n0 ) )
| ( ( n0 = n1 )
& ( n2 = n0 ) )
| ( ( n0 = n1 )
& ( n3 = n0 ) )
| ( ( n0 = n1 )
& ( n4 = n0 ) )
| ( ( n0 = n1 )
& ( n5 = n0 ) )
| $true
| ( n2 = n1 )
| ( n3 = n1 )
| ( n4 = n1 )
| ( n5 = n1 )
| ( n1 = n0 )
| ( n2 = n0 )
| ( n3 = n0 )
| ( n4 = n0 )
| ( n5 = n0 )
| ( ( n1 = n0 )
& ( n2 = n1 ) )
| ( ( n1 = n0 )
& ( n3 = n1 ) )
| ( ( n1 = n0 )
& ( n4 = n1 ) )
| ( ( n1 = n0 )
& ( n5 = n1 ) )
| ( ( n2 = n1 )
& ( n2 = n0 ) )
| ( ( n2 = n1 )
& ( n3 = n0 ) )
| ( ( n2 = n1 )
& ( n4 = n0 ) )
| ( ( n2 = n1 )
& ( n5 = n0 ) )
| ( ( n2 = n0 )
& ( n3 = n1 ) )
| ( ( n2 = n0 )
& ( n4 = n1 ) )
| ( ( n2 = n0 )
& ( n5 = n1 ) )
| ( ( n3 = n1 )
& ( n3 = n0 ) )
| ( ( n3 = n1 )
& ( n4 = n0 ) )
| ( ( n3 = n1 )
& ( n5 = n0 ) )
| ( ( n3 = n0 )
& ( n4 = n1 ) )
| ( ( n3 = n0 )
& ( n5 = n1 ) )
| ( ( n4 = n1 )
& ( n4 = n0 ) )
| ( ( n4 = n1 )
& ( n5 = n0 ) )
| ( ( n4 = n0 )
& ( n5 = n1 ) )
| ( ( n5 = n1 )
& ( n5 = n0 ) )
| ( n0 != n1 ) )
<=> $true ),
inference(rewrite,[status(thm)],[]) ).
tff(3,plain,
( ( $true
& ( n5 = n0 ) )
<=> ( n5 = n0 ) ),
inference(rewrite,[status(thm)],[]) ).
tff(4,plain,
( ( n1 = n1 )
<=> $true ),
inference(rewrite,[status(thm)],[]) ).
tff(5,plain,
( ( ( n1 = n1 )
& ( n5 = n0 ) )
<=> ( $true
& ( n5 = n0 ) ) ),
inference(monotonicity,[status(thm)],[4]) ).
tff(6,plain,
( ( ( n1 = n1 )
& ( n5 = n0 ) )
<=> ( n5 = n0 ) ),
inference(transitivity,[status(thm)],[5,3]) ).
tff(7,plain,
( ( $true
& ( n4 = n0 ) )
<=> ( n4 = n0 ) ),
inference(rewrite,[status(thm)],[]) ).
tff(8,plain,
( ( ( n1 = n1 )
& ( n4 = n0 ) )
<=> ( $true
& ( n4 = n0 ) ) ),
inference(monotonicity,[status(thm)],[4]) ).
tff(9,plain,
( ( ( n1 = n1 )
& ( n4 = n0 ) )
<=> ( n4 = n0 ) ),
inference(transitivity,[status(thm)],[8,7]) ).
tff(10,plain,
( ( $true
& ( n3 = n0 ) )
<=> ( n3 = n0 ) ),
inference(rewrite,[status(thm)],[]) ).
tff(11,plain,
( ( ( n1 = n1 )
& ( n3 = n0 ) )
<=> ( $true
& ( n3 = n0 ) ) ),
inference(monotonicity,[status(thm)],[4]) ).
tff(12,plain,
( ( ( n1 = n1 )
& ( n3 = n0 ) )
<=> ( n3 = n0 ) ),
inference(transitivity,[status(thm)],[11,10]) ).
tff(13,plain,
( ( $true
& ( n2 = n0 ) )
<=> ( n2 = n0 ) ),
inference(rewrite,[status(thm)],[]) ).
tff(14,plain,
( ( ( n1 = n1 )
& ( n2 = n0 ) )
<=> ( $true
& ( n2 = n0 ) ) ),
inference(monotonicity,[status(thm)],[4]) ).
tff(15,plain,
( ( ( n1 = n1 )
& ( n2 = n0 ) )
<=> ( n2 = n0 ) ),
inference(transitivity,[status(thm)],[14,13]) ).
tff(16,plain,
( ( $true
& ( n1 = n0 ) )
<=> ( n1 = n0 ) ),
inference(rewrite,[status(thm)],[]) ).
tff(17,plain,
( ( ( n1 = n1 )
& ( n1 = n0 ) )
<=> ( $true
& ( n1 = n0 ) ) ),
inference(monotonicity,[status(thm)],[4]) ).
tff(18,plain,
( ( ( n1 = n1 )
& ( n1 = n0 ) )
<=> ( n1 = n0 ) ),
inference(transitivity,[status(thm)],[17,16]) ).
tff(19,plain,
( ( $true
& ( n5 = n1 ) )
<=> ( n5 = n1 ) ),
inference(rewrite,[status(thm)],[]) ).
tff(20,plain,
( ( n0 = n0 )
<=> $true ),
inference(rewrite,[status(thm)],[]) ).
tff(21,plain,
( ( ( n0 = n0 )
& ( n5 = n1 ) )
<=> ( $true
& ( n5 = n1 ) ) ),
inference(monotonicity,[status(thm)],[20]) ).
tff(22,plain,
( ( ( n0 = n0 )
& ( n5 = n1 ) )
<=> ( n5 = n1 ) ),
inference(transitivity,[status(thm)],[21,19]) ).
tff(23,plain,
( ( $true
& ( n4 = n1 ) )
<=> ( n4 = n1 ) ),
inference(rewrite,[status(thm)],[]) ).
tff(24,plain,
( ( ( n0 = n0 )
& ( n4 = n1 ) )
<=> ( $true
& ( n4 = n1 ) ) ),
inference(monotonicity,[status(thm)],[20]) ).
tff(25,plain,
( ( ( n0 = n0 )
& ( n4 = n1 ) )
<=> ( n4 = n1 ) ),
inference(transitivity,[status(thm)],[24,23]) ).
tff(26,plain,
( ( $true
& ( n3 = n1 ) )
<=> ( n3 = n1 ) ),
inference(rewrite,[status(thm)],[]) ).
tff(27,plain,
( ( ( n0 = n0 )
& ( n3 = n1 ) )
<=> ( $true
& ( n3 = n1 ) ) ),
inference(monotonicity,[status(thm)],[20]) ).
tff(28,plain,
( ( ( n0 = n0 )
& ( n3 = n1 ) )
<=> ( n3 = n1 ) ),
inference(transitivity,[status(thm)],[27,26]) ).
tff(29,plain,
( ( $true
& ( n2 = n1 ) )
<=> ( n2 = n1 ) ),
inference(rewrite,[status(thm)],[]) ).
tff(30,plain,
( ( ( n0 = n0 )
& ( n2 = n1 ) )
<=> ( $true
& ( n2 = n1 ) ) ),
inference(monotonicity,[status(thm)],[20]) ).
tff(31,plain,
( ( ( n0 = n0 )
& ( n2 = n1 ) )
<=> ( n2 = n1 ) ),
inference(transitivity,[status(thm)],[30,29]) ).
tff(32,plain,
( ( $true
& $true )
<=> $true ),
inference(rewrite,[status(thm)],[]) ).
tff(33,plain,
( ( ( n0 = n0 )
& ( n1 = n1 ) )
<=> ( $true
& $true ) ),
inference(monotonicity,[status(thm)],[20,4]) ).
tff(34,plain,
( ( ( n0 = n0 )
& ( n1 = n1 ) )
<=> $true ),
inference(transitivity,[status(thm)],[33,32]) ).
tff(35,plain,
( ( ~ leq(n0,n5)
| ( n0 = times(divide(n1,n400),a_select2(sigma,n0)) )
| ~ leq(n0,n1)
| ~ leq(n0,n0)
| ~ leq(n1,n5)
| ( ( n0 = n1 )
& ( n1 = n0 ) )
| ( ( n0 = n1 )
& ( n2 = n0 ) )
| ( ( n0 = n1 )
& ( n3 = n0 ) )
| ( ( n0 = n1 )
& ( n4 = n0 ) )
| ( ( n0 = n1 )
& ( n5 = n0 ) )
| ( ( n0 = n0 )
& ( n1 = n1 ) )
| ( ( n0 = n0 )
& ( n2 = n1 ) )
| ( ( n0 = n0 )
& ( n3 = n1 ) )
| ( ( n0 = n0 )
& ( n4 = n1 ) )
| ( ( n0 = n0 )
& ( n5 = n1 ) )
| ( ( n1 = n1 )
& ( n1 = n0 ) )
| ( ( n1 = n1 )
& ( n2 = n0 ) )
| ( ( n1 = n1 )
& ( n3 = n0 ) )
| ( ( n1 = n1 )
& ( n4 = n0 ) )
| ( ( n1 = n1 )
& ( n5 = n0 ) )
| ( ( n1 = n0 )
& ( n2 = n1 ) )
| ( ( n1 = n0 )
& ( n3 = n1 ) )
| ( ( n1 = n0 )
& ( n4 = n1 ) )
| ( ( n1 = n0 )
& ( n5 = n1 ) )
| ( ( n2 = n1 )
& ( n2 = n0 ) )
| ( ( n2 = n1 )
& ( n3 = n0 ) )
| ( ( n2 = n1 )
& ( n4 = n0 ) )
| ( ( n2 = n1 )
& ( n5 = n0 ) )
| ( ( n2 = n0 )
& ( n3 = n1 ) )
| ( ( n2 = n0 )
& ( n4 = n1 ) )
| ( ( n2 = n0 )
& ( n5 = n1 ) )
| ( ( n3 = n1 )
& ( n3 = n0 ) )
| ( ( n3 = n1 )
& ( n4 = n0 ) )
| ( ( n3 = n1 )
& ( n5 = n0 ) )
| ( ( n3 = n0 )
& ( n4 = n1 ) )
| ( ( n3 = n0 )
& ( n5 = n1 ) )
| ( ( n4 = n1 )
& ( n4 = n0 ) )
| ( ( n4 = n1 )
& ( n5 = n0 ) )
| ( ( n4 = n0 )
& ( n5 = n1 ) )
| ( ( n5 = n1 )
& ( n5 = n0 ) )
| ( n0 != n1 ) )
<=> ( ~ leq(n0,n5)
| ( n0 = times(divide(n1,n400),a_select2(sigma,n0)) )
| ~ leq(n0,n1)
| ~ leq(n0,n0)
| ~ leq(n1,n5)
| ( ( n0 = n1 )
& ( n1 = n0 ) )
| ( ( n0 = n1 )
& ( n2 = n0 ) )
| ( ( n0 = n1 )
& ( n3 = n0 ) )
| ( ( n0 = n1 )
& ( n4 = n0 ) )
| ( ( n0 = n1 )
& ( n5 = n0 ) )
| $true
| ( n2 = n1 )
| ( n3 = n1 )
| ( n4 = n1 )
| ( n5 = n1 )
| ( n1 = n0 )
| ( n2 = n0 )
| ( n3 = n0 )
| ( n4 = n0 )
| ( n5 = n0 )
| ( ( n1 = n0 )
& ( n2 = n1 ) )
| ( ( n1 = n0 )
& ( n3 = n1 ) )
| ( ( n1 = n0 )
& ( n4 = n1 ) )
| ( ( n1 = n0 )
& ( n5 = n1 ) )
| ( ( n2 = n1 )
& ( n2 = n0 ) )
| ( ( n2 = n1 )
& ( n3 = n0 ) )
| ( ( n2 = n1 )
& ( n4 = n0 ) )
| ( ( n2 = n1 )
& ( n5 = n0 ) )
| ( ( n2 = n0 )
& ( n3 = n1 ) )
| ( ( n2 = n0 )
& ( n4 = n1 ) )
| ( ( n2 = n0 )
& ( n5 = n1 ) )
| ( ( n3 = n1 )
& ( n3 = n0 ) )
| ( ( n3 = n1 )
& ( n4 = n0 ) )
| ( ( n3 = n1 )
& ( n5 = n0 ) )
| ( ( n3 = n0 )
& ( n4 = n1 ) )
| ( ( n3 = n0 )
& ( n5 = n1 ) )
| ( ( n4 = n1 )
& ( n4 = n0 ) )
| ( ( n4 = n1 )
& ( n5 = n0 ) )
| ( ( n4 = n0 )
& ( n5 = n1 ) )
| ( ( n5 = n1 )
& ( n5 = n0 ) )
| ( n0 != n1 ) ) ),
inference(monotonicity,[status(thm)],[34,31,28,25,22,18,15,12,9,6]) ).
tff(36,plain,
( ( ~ leq(n0,n5)
| ( n0 = times(divide(n1,n400),a_select2(sigma,n0)) )
| ~ leq(n0,n1)
| ~ leq(n0,n0)
| ~ leq(n1,n5)
| ( ( n0 = n1 )
& ( n1 = n0 ) )
| ( ( n0 = n1 )
& ( n2 = n0 ) )
| ( ( n0 = n1 )
& ( n3 = n0 ) )
| ( ( n0 = n1 )
& ( n4 = n0 ) )
| ( ( n0 = n1 )
& ( n5 = n0 ) )
| ( ( n0 = n0 )
& ( n1 = n1 ) )
| ( ( n0 = n0 )
& ( n2 = n1 ) )
| ( ( n0 = n0 )
& ( n3 = n1 ) )
| ( ( n0 = n0 )
& ( n4 = n1 ) )
| ( ( n0 = n0 )
& ( n5 = n1 ) )
| ( ( n1 = n1 )
& ( n1 = n0 ) )
| ( ( n1 = n1 )
& ( n2 = n0 ) )
| ( ( n1 = n1 )
& ( n3 = n0 ) )
| ( ( n1 = n1 )
& ( n4 = n0 ) )
| ( ( n1 = n1 )
& ( n5 = n0 ) )
| ( ( n1 = n0 )
& ( n2 = n1 ) )
| ( ( n1 = n0 )
& ( n3 = n1 ) )
| ( ( n1 = n0 )
& ( n4 = n1 ) )
| ( ( n1 = n0 )
& ( n5 = n1 ) )
| ( ( n2 = n1 )
& ( n2 = n0 ) )
| ( ( n2 = n1 )
& ( n3 = n0 ) )
| ( ( n2 = n1 )
& ( n4 = n0 ) )
| ( ( n2 = n1 )
& ( n5 = n0 ) )
| ( ( n2 = n0 )
& ( n3 = n1 ) )
| ( ( n2 = n0 )
& ( n4 = n1 ) )
| ( ( n2 = n0 )
& ( n5 = n1 ) )
| ( ( n3 = n1 )
& ( n3 = n0 ) )
| ( ( n3 = n1 )
& ( n4 = n0 ) )
| ( ( n3 = n1 )
& ( n5 = n0 ) )
| ( ( n3 = n0 )
& ( n4 = n1 ) )
| ( ( n3 = n0 )
& ( n5 = n1 ) )
| ( ( n4 = n1 )
& ( n4 = n0 ) )
| ( ( n4 = n1 )
& ( n5 = n0 ) )
| ( ( n4 = n0 )
& ( n5 = n1 ) )
| ( ( n5 = n1 )
& ( n5 = n0 ) )
| ( n0 != n1 ) )
<=> $true ),
inference(transitivity,[status(thm)],[35,2]) ).
tff(37,plain,
( ! [A: $i,B: $i] :
( ~ leq(n0,n5)
| ( n0 = times(divide(n1,n400),a_select2(sigma,n0)) )
| ~ leq(n0,n1)
| ~ leq(n0,n0)
| ~ leq(n1,n5)
| ( ( n0 = n1 )
& ( n1 = n0 ) )
| ( ( n0 = n1 )
& ( n2 = n0 ) )
| ( ( n0 = n1 )
& ( n3 = n0 ) )
| ( ( n0 = n1 )
& ( n4 = n0 ) )
| ( ( n0 = n1 )
& ( n5 = n0 ) )
| ( ( n0 = n0 )
& ( n1 = n1 ) )
| ( ( n0 = n0 )
& ( n2 = n1 ) )
| ( ( n0 = n0 )
& ( n3 = n1 ) )
| ( ( n0 = n0 )
& ( n4 = n1 ) )
| ( ( n0 = n0 )
& ( n5 = n1 ) )
| ( ( n1 = n1 )
& ( n1 = n0 ) )
| ( ( n1 = n1 )
& ( n2 = n0 ) )
| ( ( n1 = n1 )
& ( n3 = n0 ) )
| ( ( n1 = n1 )
& ( n4 = n0 ) )
| ( ( n1 = n1 )
& ( n5 = n0 ) )
| ( ( n1 = n0 )
& ( n2 = n1 ) )
| ( ( n1 = n0 )
& ( n3 = n1 ) )
| ( ( n1 = n0 )
& ( n4 = n1 ) )
| ( ( n1 = n0 )
& ( n5 = n1 ) )
| ( ( n2 = n1 )
& ( n2 = n0 ) )
| ( ( n2 = n1 )
& ( n3 = n0 ) )
| ( ( n2 = n1 )
& ( n4 = n0 ) )
| ( ( n2 = n1 )
& ( n5 = n0 ) )
| ( ( n2 = n0 )
& ( n3 = n1 ) )
| ( ( n2 = n0 )
& ( n4 = n1 ) )
| ( ( n2 = n0 )
& ( n5 = n1 ) )
| ( ( n3 = n1 )
& ( n3 = n0 ) )
| ( ( n3 = n1 )
& ( n4 = n0 ) )
| ( ( n3 = n1 )
& ( n5 = n0 ) )
| ( ( n3 = n0 )
& ( n4 = n1 ) )
| ( ( n3 = n0 )
& ( n5 = n1 ) )
| ( ( n4 = n1 )
& ( n4 = n0 ) )
| ( ( n4 = n1 )
& ( n5 = n0 ) )
| ( ( n4 = n0 )
& ( n5 = n1 ) )
| ( ( n5 = n1 )
& ( n5 = n0 ) )
| ( n0 != n1 ) )
<=> ( ~ leq(n0,n5)
| ( n0 = times(divide(n1,n400),a_select2(sigma,n0)) )
| ~ leq(n0,n1)
| ~ leq(n0,n0)
| ~ leq(n1,n5)
| ( ( n0 = n1 )
& ( n1 = n0 ) )
| ( ( n0 = n1 )
& ( n2 = n0 ) )
| ( ( n0 = n1 )
& ( n3 = n0 ) )
| ( ( n0 = n1 )
& ( n4 = n0 ) )
| ( ( n0 = n1 )
& ( n5 = n0 ) )
| ( ( n0 = n0 )
& ( n1 = n1 ) )
| ( ( n0 = n0 )
& ( n2 = n1 ) )
| ( ( n0 = n0 )
& ( n3 = n1 ) )
| ( ( n0 = n0 )
& ( n4 = n1 ) )
| ( ( n0 = n0 )
& ( n5 = n1 ) )
| ( ( n1 = n1 )
& ( n1 = n0 ) )
| ( ( n1 = n1 )
& ( n2 = n0 ) )
| ( ( n1 = n1 )
& ( n3 = n0 ) )
| ( ( n1 = n1 )
& ( n4 = n0 ) )
| ( ( n1 = n1 )
& ( n5 = n0 ) )
| ( ( n1 = n0 )
& ( n2 = n1 ) )
| ( ( n1 = n0 )
& ( n3 = n1 ) )
| ( ( n1 = n0 )
& ( n4 = n1 ) )
| ( ( n1 = n0 )
& ( n5 = n1 ) )
| ( ( n2 = n1 )
& ( n2 = n0 ) )
| ( ( n2 = n1 )
& ( n3 = n0 ) )
| ( ( n2 = n1 )
& ( n4 = n0 ) )
| ( ( n2 = n1 )
& ( n5 = n0 ) )
| ( ( n2 = n0 )
& ( n3 = n1 ) )
| ( ( n2 = n0 )
& ( n4 = n1 ) )
| ( ( n2 = n0 )
& ( n5 = n1 ) )
| ( ( n3 = n1 )
& ( n3 = n0 ) )
| ( ( n3 = n1 )
& ( n4 = n0 ) )
| ( ( n3 = n1 )
& ( n5 = n0 ) )
| ( ( n3 = n0 )
& ( n4 = n1 ) )
| ( ( n3 = n0 )
& ( n5 = n1 ) )
| ( ( n4 = n1 )
& ( n4 = n0 ) )
| ( ( n4 = n1 )
& ( n5 = n0 ) )
| ( ( n4 = n0 )
& ( n5 = n1 ) )
| ( ( n5 = n1 )
& ( n5 = n0 ) )
| ( n0 != n1 ) ) ),
inference(elim_unused_vars,[status(thm)],[]) ).
tff(38,plain,
( ! [A: $i,B: $i] :
( ( n0 = times(divide(n1,n400),a_select2(sigma,n0)) )
| ~ ( ~ ( ( n0 = A )
& ( n1 = B ) )
& ~ ( ( n0 = A )
& ( n2 = B ) )
& ~ ( ( n0 = A )
& ( n3 = B ) )
& ~ ( ( n0 = A )
& ( n4 = B ) )
& ~ ( ( n0 = A )
& ( n5 = B ) )
& ~ ( ( n0 = B )
& ( n1 = A ) )
& ~ ( ( n0 = B )
& ( n2 = A ) )
& ~ ( ( n0 = B )
& ( n3 = A ) )
& ~ ( ( n0 = B )
& ( n4 = A ) )
& ~ ( ( n0 = B )
& ( n5 = A ) )
& ~ ( ( n1 = A )
& ( n1 = B ) )
& ~ ( ( n1 = A )
& ( n2 = B ) )
& ~ ( ( n1 = A )
& ( n3 = B ) )
& ~ ( ( n1 = A )
& ( n4 = B ) )
& ~ ( ( n1 = A )
& ( n5 = B ) )
& ~ ( ( n1 = B )
& ( n2 = A ) )
& ~ ( ( n1 = B )
& ( n3 = A ) )
& ~ ( ( n1 = B )
& ( n4 = A ) )
& ~ ( ( n1 = B )
& ( n5 = A ) )
& ~ ( ( n2 = A )
& ( n2 = B ) )
& ~ ( ( n2 = A )
& ( n3 = B ) )
& ~ ( ( n2 = A )
& ( n4 = B ) )
& ~ ( ( n2 = A )
& ( n5 = B ) )
& ~ ( ( n2 = B )
& ( n3 = A ) )
& ~ ( ( n2 = B )
& ( n4 = A ) )
& ~ ( ( n2 = B )
& ( n5 = A ) )
& ~ ( ( n3 = A )
& ( n3 = B ) )
& ~ ( ( n3 = A )
& ( n4 = B ) )
& ~ ( ( n3 = A )
& ( n5 = B ) )
& ~ ( ( n3 = B )
& ( n4 = A ) )
& ~ ( ( n3 = B )
& ( n5 = A ) )
& ~ ( ( n4 = A )
& ( n4 = B ) )
& ~ ( ( n4 = A )
& ( n5 = B ) )
& ~ ( ( n4 = B )
& ( n5 = A ) )
& ~ ( ( n5 = A )
& ( n5 = B ) )
& ( n0 = A )
& ( n0 = B )
& ( n1 = A ) )
| ~ ( leq(n0,A)
& leq(n0,B)
& leq(A,n5)
& leq(B,n5) ) )
<=> ! [A: $i,B: $i] :
( ~ leq(n0,n5)
| ( n0 = times(divide(n1,n400),a_select2(sigma,n0)) )
| ~ leq(n0,n1)
| ~ leq(n0,n0)
| ~ leq(n1,n5)
| ( ( n0 = n1 )
& ( n1 = n0 ) )
| ( ( n0 = n1 )
& ( n2 = n0 ) )
| ( ( n0 = n1 )
& ( n3 = n0 ) )
| ( ( n0 = n1 )
& ( n4 = n0 ) )
| ( ( n0 = n1 )
& ( n5 = n0 ) )
| ( ( n0 = n0 )
& ( n1 = n1 ) )
| ( ( n0 = n0 )
& ( n2 = n1 ) )
| ( ( n0 = n0 )
& ( n3 = n1 ) )
| ( ( n0 = n0 )
& ( n4 = n1 ) )
| ( ( n0 = n0 )
& ( n5 = n1 ) )
| ( ( n1 = n1 )
& ( n1 = n0 ) )
| ( ( n1 = n1 )
& ( n2 = n0 ) )
| ( ( n1 = n1 )
& ( n3 = n0 ) )
| ( ( n1 = n1 )
& ( n4 = n0 ) )
| ( ( n1 = n1 )
& ( n5 = n0 ) )
| ( ( n1 = n0 )
& ( n2 = n1 ) )
| ( ( n1 = n0 )
& ( n3 = n1 ) )
| ( ( n1 = n0 )
& ( n4 = n1 ) )
| ( ( n1 = n0 )
& ( n5 = n1 ) )
| ( ( n2 = n1 )
& ( n2 = n0 ) )
| ( ( n2 = n1 )
& ( n3 = n0 ) )
| ( ( n2 = n1 )
& ( n4 = n0 ) )
| ( ( n2 = n1 )
& ( n5 = n0 ) )
| ( ( n2 = n0 )
& ( n3 = n1 ) )
| ( ( n2 = n0 )
& ( n4 = n1 ) )
| ( ( n2 = n0 )
& ( n5 = n1 ) )
| ( ( n3 = n1 )
& ( n3 = n0 ) )
| ( ( n3 = n1 )
& ( n4 = n0 ) )
| ( ( n3 = n1 )
& ( n5 = n0 ) )
| ( ( n3 = n0 )
& ( n4 = n1 ) )
| ( ( n3 = n0 )
& ( n5 = n1 ) )
| ( ( n4 = n1 )
& ( n4 = n0 ) )
| ( ( n4 = n1 )
& ( n5 = n0 ) )
| ( ( n4 = n0 )
& ( n5 = n1 ) )
| ( ( n5 = n1 )
& ( n5 = n0 ) )
| ( n0 != n1 ) ) ),
inference(destructive_equality_resolution,[status(thm)],[]) ).
tff(39,plain,
( ! [A: $i,B: $i] :
( ( n0 = times(divide(n1,n400),a_select2(sigma,n0)) )
| ~ ( ~ ( ( n0 = A )
& ( n1 = B ) )
& ~ ( ( n0 = A )
& ( n2 = B ) )
& ~ ( ( n0 = A )
& ( n3 = B ) )
& ~ ( ( n0 = A )
& ( n4 = B ) )
& ~ ( ( n0 = A )
& ( n5 = B ) )
& ~ ( ( n0 = B )
& ( n1 = A ) )
& ~ ( ( n0 = B )
& ( n2 = A ) )
& ~ ( ( n0 = B )
& ( n3 = A ) )
& ~ ( ( n0 = B )
& ( n4 = A ) )
& ~ ( ( n0 = B )
& ( n5 = A ) )
& ~ ( ( n1 = A )
& ( n1 = B ) )
& ~ ( ( n1 = A )
& ( n2 = B ) )
& ~ ( ( n1 = A )
& ( n3 = B ) )
& ~ ( ( n1 = A )
& ( n4 = B ) )
& ~ ( ( n1 = A )
& ( n5 = B ) )
& ~ ( ( n1 = B )
& ( n2 = A ) )
& ~ ( ( n1 = B )
& ( n3 = A ) )
& ~ ( ( n1 = B )
& ( n4 = A ) )
& ~ ( ( n1 = B )
& ( n5 = A ) )
& ~ ( ( n2 = A )
& ( n2 = B ) )
& ~ ( ( n2 = A )
& ( n3 = B ) )
& ~ ( ( n2 = A )
& ( n4 = B ) )
& ~ ( ( n2 = A )
& ( n5 = B ) )
& ~ ( ( n2 = B )
& ( n3 = A ) )
& ~ ( ( n2 = B )
& ( n4 = A ) )
& ~ ( ( n2 = B )
& ( n5 = A ) )
& ~ ( ( n3 = A )
& ( n3 = B ) )
& ~ ( ( n3 = A )
& ( n4 = B ) )
& ~ ( ( n3 = A )
& ( n5 = B ) )
& ~ ( ( n3 = B )
& ( n4 = A ) )
& ~ ( ( n3 = B )
& ( n5 = A ) )
& ~ ( ( n4 = A )
& ( n4 = B ) )
& ~ ( ( n4 = A )
& ( n5 = B ) )
& ~ ( ( n4 = B )
& ( n5 = A ) )
& ~ ( ( n5 = A )
& ( n5 = B ) )
& ( n0 = A )
& ( n0 = B )
& ( n1 = A ) )
| ~ ( leq(n0,A)
& leq(n0,B)
& leq(A,n5)
& leq(B,n5) ) )
<=> ( ~ leq(n0,n5)
| ( n0 = times(divide(n1,n400),a_select2(sigma,n0)) )
| ~ leq(n0,n1)
| ~ leq(n0,n0)
| ~ leq(n1,n5)
| ( ( n0 = n1 )
& ( n1 = n0 ) )
| ( ( n0 = n1 )
& ( n2 = n0 ) )
| ( ( n0 = n1 )
& ( n3 = n0 ) )
| ( ( n0 = n1 )
& ( n4 = n0 ) )
| ( ( n0 = n1 )
& ( n5 = n0 ) )
| ( ( n0 = n0 )
& ( n1 = n1 ) )
| ( ( n0 = n0 )
& ( n2 = n1 ) )
| ( ( n0 = n0 )
& ( n3 = n1 ) )
| ( ( n0 = n0 )
& ( n4 = n1 ) )
| ( ( n0 = n0 )
& ( n5 = n1 ) )
| ( ( n1 = n1 )
& ( n1 = n0 ) )
| ( ( n1 = n1 )
& ( n2 = n0 ) )
| ( ( n1 = n1 )
& ( n3 = n0 ) )
| ( ( n1 = n1 )
& ( n4 = n0 ) )
| ( ( n1 = n1 )
& ( n5 = n0 ) )
| ( ( n1 = n0 )
& ( n2 = n1 ) )
| ( ( n1 = n0 )
& ( n3 = n1 ) )
| ( ( n1 = n0 )
& ( n4 = n1 ) )
| ( ( n1 = n0 )
& ( n5 = n1 ) )
| ( ( n2 = n1 )
& ( n2 = n0 ) )
| ( ( n2 = n1 )
& ( n3 = n0 ) )
| ( ( n2 = n1 )
& ( n4 = n0 ) )
| ( ( n2 = n1 )
& ( n5 = n0 ) )
| ( ( n2 = n0 )
& ( n3 = n1 ) )
| ( ( n2 = n0 )
& ( n4 = n1 ) )
| ( ( n2 = n0 )
& ( n5 = n1 ) )
| ( ( n3 = n1 )
& ( n3 = n0 ) )
| ( ( n3 = n1 )
& ( n4 = n0 ) )
| ( ( n3 = n1 )
& ( n5 = n0 ) )
| ( ( n3 = n0 )
& ( n4 = n1 ) )
| ( ( n3 = n0 )
& ( n5 = n1 ) )
| ( ( n4 = n1 )
& ( n4 = n0 ) )
| ( ( n4 = n1 )
& ( n5 = n0 ) )
| ( ( n4 = n0 )
& ( n5 = n1 ) )
| ( ( n5 = n1 )
& ( n5 = n0 ) )
| ( n0 != n1 ) ) ),
inference(transitivity,[status(thm)],[38,37]) ).
tff(40,plain,
( ! [A: $i,B: $i] :
( ( n0 = times(divide(n1,n400),a_select2(sigma,n0)) )
| ~ ( ~ ( ( n0 = A )
& ( n1 = B ) )
& ~ ( ( n0 = A )
& ( n2 = B ) )
& ~ ( ( n0 = A )
& ( n3 = B ) )
& ~ ( ( n0 = A )
& ( n4 = B ) )
& ~ ( ( n0 = A )
& ( n5 = B ) )
& ~ ( ( n0 = B )
& ( n1 = A ) )
& ~ ( ( n0 = B )
& ( n2 = A ) )
& ~ ( ( n0 = B )
& ( n3 = A ) )
& ~ ( ( n0 = B )
& ( n4 = A ) )
& ~ ( ( n0 = B )
& ( n5 = A ) )
& ~ ( ( n1 = A )
& ( n1 = B ) )
& ~ ( ( n1 = A )
& ( n2 = B ) )
& ~ ( ( n1 = A )
& ( n3 = B ) )
& ~ ( ( n1 = A )
& ( n4 = B ) )
& ~ ( ( n1 = A )
& ( n5 = B ) )
& ~ ( ( n1 = B )
& ( n2 = A ) )
& ~ ( ( n1 = B )
& ( n3 = A ) )
& ~ ( ( n1 = B )
& ( n4 = A ) )
& ~ ( ( n1 = B )
& ( n5 = A ) )
& ~ ( ( n2 = A )
& ( n2 = B ) )
& ~ ( ( n2 = A )
& ( n3 = B ) )
& ~ ( ( n2 = A )
& ( n4 = B ) )
& ~ ( ( n2 = A )
& ( n5 = B ) )
& ~ ( ( n2 = B )
& ( n3 = A ) )
& ~ ( ( n2 = B )
& ( n4 = A ) )
& ~ ( ( n2 = B )
& ( n5 = A ) )
& ~ ( ( n3 = A )
& ( n3 = B ) )
& ~ ( ( n3 = A )
& ( n4 = B ) )
& ~ ( ( n3 = A )
& ( n5 = B ) )
& ~ ( ( n3 = B )
& ( n4 = A ) )
& ~ ( ( n3 = B )
& ( n5 = A ) )
& ~ ( ( n4 = A )
& ( n4 = B ) )
& ~ ( ( n4 = A )
& ( n5 = B ) )
& ~ ( ( n4 = B )
& ( n5 = A ) )
& ~ ( ( n5 = A )
& ( n5 = B ) )
& ( n0 = A )
& ( n0 = B )
& ( n1 = A ) )
| ~ ( leq(n0,A)
& leq(n0,B)
& leq(A,n5)
& leq(B,n5) ) )
<=> $true ),
inference(transitivity,[status(thm)],[39,36]) ).
tff(41,plain,
^ [A: $i,B: $i] :
trans(monotonicity(trans(monotonicity(rewrite(( ( leq(n0,A)
& leq(n0,B)
& leq(A,n5) )
<=> ( leq(n0,A)
& leq(n0,B)
& leq(A,n5) ) )),
( ( leq(n0,A)
& leq(n0,B)
& leq(A,n5)
& leq(B,n5) )
<=> ( leq(n0,A)
& leq(n0,B)
& leq(A,n5)
& leq(B,n5) ) )),
rewrite(( ( leq(n0,A)
& leq(n0,B)
& leq(A,n5)
& leq(B,n5) )
<=> ( leq(n0,A)
& leq(n0,B)
& leq(A,n5)
& leq(B,n5) ) )),
( ( leq(n0,A)
& leq(n0,B)
& leq(A,n5)
& leq(B,n5) )
<=> ( leq(n0,A)
& leq(n0,B)
& leq(A,n5)
& leq(B,n5) ) )),
trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(rewrite(( ( ~ ( ( n0 = A )
& ( n1 = B ) )
& ~ ( ( n0 = A )
& ( n2 = B ) )
& ~ ( ( n0 = A )
& ( n3 = B ) ) )
<=> ( ~ ( ( n0 = A )
& ( n1 = B ) )
& ~ ( ( n0 = A )
& ( n2 = B ) )
& ~ ( ( n0 = A )
& ( n3 = B ) ) ) )),
( ( ~ ( ( n0 = A )
& ( n1 = B ) )
& ~ ( ( n0 = A )
& ( n2 = B ) )
& ~ ( ( n0 = A )
& ( n3 = B ) )
& ~ ( ( n0 = A )
& ( n4 = B ) ) )
<=> ( ~ ( ( n0 = A )
& ( n1 = B ) )
& ~ ( ( n0 = A )
& ( n2 = B ) )
& ~ ( ( n0 = A )
& ( n3 = B ) )
& ~ ( ( n0 = A )
& ( n4 = B ) ) ) )),
rewrite(( ( ~ ( ( n0 = A )
& ( n1 = B ) )
& ~ ( ( n0 = A )
& ( n2 = B ) )
& ~ ( ( n0 = A )
& ( n3 = B ) )
& ~ ( ( n0 = A )
& ( n4 = B ) ) )
<=> ( ~ ( ( n0 = A )
& ( n1 = B ) )
& ~ ( ( n0 = A )
& ( n2 = B ) )
& ~ ( ( n0 = A )
& ( n3 = B ) )
& ~ ( ( n0 = A )
& ( n4 = B ) ) ) )),
( ( ~ ( ( n0 = A )
& ( n1 = B ) )
& ~ ( ( n0 = A )
& ( n2 = B ) )
& ~ ( ( n0 = A )
& ( n3 = B ) )
& ~ ( ( n0 = A )
& ( n4 = B ) ) )
<=> ( ~ ( ( n0 = A )
& ( n1 = B ) )
& ~ ( ( n0 = A )
& ( n2 = B ) )
& ~ ( ( n0 = A )
& ( n3 = B ) )
& ~ ( ( n0 = A )
& ( n4 = B ) ) ) )),
( ( ~ ( ( n0 = A )
& ( n1 = B ) )
& ~ ( ( n0 = A )
& ( n2 = B ) )
& ~ ( ( n0 = A )
& ( n3 = B ) )
& ~ ( ( n0 = A )
& ( n4 = B ) )
& ~ ( ( n0 = A )
& ( n5 = B ) ) )
<=> ( ~ ( ( n0 = A )
& ( n1 = B ) )
& ~ ( ( n0 = A )
& ( n2 = B ) )
& ~ ( ( n0 = A )
& ( n3 = B ) )
& ~ ( ( n0 = A )
& ( n4 = B ) )
& ~ ( ( n0 = A )
& ( n5 = B ) ) ) )),
rewrite(( ( ~ ( ( n0 = A )
& ( n1 = B ) )
& ~ ( ( n0 = A )
& ( n2 = B ) )
& ~ ( ( n0 = A )
& ( n3 = B ) )
& ~ ( ( n0 = A )
& ( n4 = B ) )
& ~ ( ( n0 = A )
& ( n5 = B ) ) )
<=> ( ~ ( ( n0 = A )
& ( n1 = B ) )
& ~ ( ( n0 = A )
& ( n2 = B ) )
& ~ ( ( n0 = A )
& ( n3 = B ) )
& ~ ( ( n0 = A )
& ( n4 = B ) )
& ~ ( ( n0 = A )
& ( n5 = B ) ) ) )),
( ( ~ ( ( n0 = A )
& ( n1 = B ) )
& ~ ( ( n0 = A )
& ( n2 = B ) )
& ~ ( ( n0 = A )
& ( n3 = B ) )
& ~ ( ( n0 = A )
& ( n4 = B ) )
& ~ ( ( n0 = A )
& ( n5 = B ) ) )
<=> ( ~ ( ( n0 = A )
& ( n1 = B ) )
& ~ ( ( n0 = A )
& ( n2 = B ) )
& ~ ( ( n0 = A )
& ( n3 = B ) )
& ~ ( ( n0 = A )
& ( n4 = B ) )
& ~ ( ( n0 = A )
& ( n5 = B ) ) ) )),
( ( ~ ( ( n0 = A )
& ( n1 = B ) )
& ~ ( ( n0 = A )
& ( n2 = B ) )
& ~ ( ( n0 = A )
& ( n3 = B ) )
& ~ ( ( n0 = A )
& ( n4 = B ) )
& ~ ( ( n0 = A )
& ( n5 = B ) )
& ~ ( ( n0 = B )
& ( n1 = A ) ) )
<=> ( ~ ( ( n0 = A )
& ( n1 = B ) )
& ~ ( ( n0 = A )
& ( n2 = B ) )
& ~ ( ( n0 = A )
& ( n3 = B ) )
& ~ ( ( n0 = A )
& ( n4 = B ) )
& ~ ( ( n0 = A )
& ( n5 = B ) )
& ~ ( ( n0 = B )
& ( n1 = A ) ) ) )),
rewrite(( ( ~ ( ( n0 = A )
& ( n1 = B ) )
& ~ ( ( n0 = A )
& ( n2 = B ) )
& ~ ( ( n0 = A )
& ( n3 = B ) )
& ~ ( ( n0 = A )
& ( n4 = B ) )
& ~ ( ( n0 = A )
& ( n5 = B ) )
& ~ ( ( n0 = B )
& ( n1 = A ) ) )
<=> ( ~ ( ( n0 = A )
& ( n1 = B ) )
& ~ ( ( n0 = A )
& ( n2 = B ) )
& ~ ( ( n0 = A )
& ( n3 = B ) )
& ~ ( ( n0 = A )
& ( n4 = B ) )
& ~ ( ( n0 = A )
& ( n5 = B ) )
& ~ ( ( n0 = B )
& ( n1 = A ) ) ) )),
( ( ~ ( ( n0 = A )
& ( n1 = B ) )
& ~ ( ( n0 = A )
& ( n2 = B ) )
& ~ ( ( n0 = A )
& ( n3 = B ) )
& ~ ( ( n0 = A )
& ( n4 = B ) )
& ~ ( ( n0 = A )
& ( n5 = B ) )
& ~ ( ( n0 = B )
& ( n1 = A ) ) )
<=> ( ~ ( ( n0 = A )
& ( n1 = B ) )
& ~ ( ( n0 = A )
& ( n2 = B ) )
& ~ ( ( n0 = A )
& ( n3 = B ) )
& ~ ( ( n0 = A )
& ( n4 = B ) )
& ~ ( ( n0 = A )
& ( n5 = B ) )
& ~ ( ( n0 = B )
& ( n1 = A ) ) ) )),
( ( ~ ( ( n0 = A )
& ( n1 = B ) )
& ~ ( ( n0 = A )
& ( n2 = B ) )
& ~ ( ( n0 = A )
& ( n3 = B ) )
& ~ ( ( n0 = A )
& ( n4 = B ) )
& ~ ( ( n0 = A )
& ( n5 = B ) )
& ~ ( ( n0 = B )
& ( n1 = A ) )
& ~ ( ( n0 = B )
& ( n2 = A ) ) )
<=> ( ~ ( ( n0 = A )
& ( n1 = B ) )
& ~ ( ( n0 = A )
& ( n2 = B ) )
& ~ ( ( n0 = A )
& ( n3 = B ) )
& ~ ( ( n0 = A )
& ( n4 = B ) )
& ~ ( ( n0 = A )
& ( n5 = B ) )
& ~ ( ( n0 = B )
& ( n1 = A ) )
& ~ ( ( n0 = B )
& ( n2 = A ) ) ) )),
rewrite(( ( ~ ( ( n0 = A )
& ( n1 = B ) )
& ~ ( ( n0 = A )
& ( n2 = B ) )
& ~ ( ( n0 = A )
& ( n3 = B ) )
& ~ ( ( n0 = A )
& ( n4 = B ) )
& ~ ( ( n0 = A )
& ( n5 = B ) )
& ~ ( ( n0 = B )
& ( n1 = A ) )
& ~ ( ( n0 = B )
& ( n2 = A ) ) )
<=> ( ~ ( ( n0 = A )
& ( n1 = B ) )
& ~ ( ( n0 = A )
& ( n2 = B ) )
& ~ ( ( n0 = A )
& ( n3 = B ) )
& ~ ( ( n0 = A )
& ( n4 = B ) )
& ~ ( ( n0 = A )
& ( n5 = B ) )
& ~ ( ( n0 = B )
& ( n1 = A ) )
& ~ ( ( n0 = B )
& ( n2 = A ) ) ) )),
( ( ~ ( ( n0 = A )
& ( n1 = B ) )
& ~ ( ( n0 = A )
& ( n2 = B ) )
& ~ ( ( n0 = A )
& ( n3 = B ) )
& ~ ( ( n0 = A )
& ( n4 = B ) )
& ~ ( ( n0 = A )
& ( n5 = B ) )
& ~ ( ( n0 = B )
& ( n1 = A ) )
& ~ ( ( n0 = B )
& ( n2 = A ) ) )
<=> ( ~ ( ( n0 = A )
& ( n1 = B ) )
& ~ ( ( n0 = A )
& ( n2 = B ) )
& ~ ( ( n0 = A )
& ( n3 = B ) )
& ~ ( ( n0 = A )
& ( n4 = B ) )
& ~ ( ( n0 = A )
& ( n5 = B ) )
& ~ ( ( n0 = B )
& ( n1 = A ) )
& ~ ( ( n0 = B )
& ( n2 = A ) ) ) )),
( ( ~ ( ( n0 = A )
& ( n1 = B ) )
& ~ ( ( n0 = A )
& ( n2 = B ) )
& ~ ( ( n0 = A )
& ( n3 = B ) )
& ~ ( ( n0 = A )
& ( n4 = B ) )
& ~ ( ( n0 = A )
& ( n5 = B ) )
& ~ ( ( n0 = B )
& ( n1 = A ) )
& ~ ( ( n0 = B )
& ( n2 = A ) )
& ~ ( ( n0 = B )
& ( n3 = A ) ) )
<=> ( ~ ( ( n0 = A )
& ( n1 = B ) )
& ~ ( ( n0 = A )
& ( n2 = B ) )
& ~ ( ( n0 = A )
& ( n3 = B ) )
& ~ ( ( n0 = A )
& ( n4 = B ) )
& ~ ( ( n0 = A )
& ( n5 = B ) )
& ~ ( ( n0 = B )
& ( n1 = A ) )
& ~ ( ( n0 = B )
& ( n2 = A ) )
& ~ ( ( n0 = B )
& ( n3 = A ) ) ) )),
rewrite(( ( ~ ( ( n0 = A )
& ( n1 = B ) )
& ~ ( ( n0 = A )
& ( n2 = B ) )
& ~ ( ( n0 = A )
& ( n3 = B ) )
& ~ ( ( n0 = A )
& ( n4 = B ) )
& ~ ( ( n0 = A )
& ( n5 = B ) )
& ~ ( ( n0 = B )
& ( n1 = A ) )
& ~ ( ( n0 = B )
& ( n2 = A ) )
& ~ ( ( n0 = B )
& ( n3 = A ) ) )
<=> ( ~ ( ( n0 = A )
& ( n1 = B ) )
& ~ ( ( n0 = A )
& ( n2 = B ) )
& ~ ( ( n0 = A )
& ( n3 = B ) )
& ~ ( ( n0 = A )
& ( n4 = B ) )
& ~ ( ( n0 = A )
& ( n5 = B ) )
& ~ ( ( n0 = B )
& ( n1 = A ) )
& ~ ( ( n0 = B )
& ( n2 = A ) )
& ~ ( ( n0 = B )
& ( n3 = A ) ) ) )),
( ( ~ ( ( n0 = A )
& ( n1 = B ) )
& ~ ( ( n0 = A )
& ( n2 = B ) )
& ~ ( ( n0 = A )
& ( n3 = B ) )
& ~ ( ( n0 = A )
& ( n4 = B ) )
& ~ ( ( n0 = A )
& ( n5 = B ) )
& ~ ( ( n0 = B )
& ( n1 = A ) )
& ~ ( ( n0 = B )
& ( n2 = A ) )
& ~ ( ( n0 = B )
& ( n3 = A ) ) )
<=> ( ~ ( ( n0 = A )
& ( n1 = B ) )
& ~ ( ( n0 = A )
& ( n2 = B ) )
& ~ ( ( n0 = A )
& ( n3 = B ) )
& ~ ( ( n0 = A )
& ( n4 = B ) )
& ~ ( ( n0 = A )
& ( n5 = B ) )
& ~ ( ( n0 = B )
& ( n1 = A ) )
& ~ ( ( n0 = B )
& ( n2 = A ) )
& ~ ( ( n0 = B )
& ( n3 = A ) ) ) )),
( ( ~ ( ( n0 = A )
& ( n1 = B ) )
& ~ ( ( n0 = A )
& ( n2 = B ) )
& ~ ( ( n0 = A )
& ( n3 = B ) )
& ~ ( ( n0 = A )
& ( n4 = B ) )
& ~ ( ( n0 = A )
& ( n5 = B ) )
& ~ ( ( n0 = B )
& ( n1 = A ) )
& ~ ( ( n0 = B )
& ( n2 = A ) )
& ~ ( ( n0 = B )
& ( n3 = A ) )
& ~ ( ( n0 = B )
& ( n4 = A ) ) )
<=> ( ~ ( ( n0 = A )
& ( n1 = B ) )
& ~ ( ( n0 = A )
& ( n2 = B ) )
& ~ ( ( n0 = A )
& ( n3 = B ) )
& ~ ( ( n0 = A )
& ( n4 = B ) )
& ~ ( ( n0 = A )
& ( n5 = B ) )
& ~ ( ( n0 = B )
& ( n1 = A ) )
& ~ ( ( n0 = B )
& ( n2 = A ) )
& ~ ( ( n0 = B )
& ( n3 = A ) )
& ~ ( ( n0 = B )
& ( n4 = A ) ) ) )),
rewrite(( ( ~ ( ( n0 = A )
& ( n1 = B ) )
& ~ ( ( n0 = A )
& ( n2 = B ) )
& ~ ( ( n0 = A )
& ( n3 = B ) )
& ~ ( ( n0 = A )
& ( n4 = B ) )
& ~ ( ( n0 = A )
& ( n5 = B ) )
& ~ ( ( n0 = B )
& ( n1 = A ) )
& ~ ( ( n0 = B )
& ( n2 = A ) )
& ~ ( ( n0 = B )
& ( n3 = A ) )
& ~ ( ( n0 = B )
& ( n4 = A ) ) )
<=> ( ~ ( ( n0 = A )
& ( n1 = B ) )
& ~ ( ( n0 = A )
& ( n2 = B ) )
& ~ ( ( n0 = A )
& ( n3 = B ) )
& ~ ( ( n0 = A )
& ( n4 = B ) )
& ~ ( ( n0 = A )
& ( n5 = B ) )
& ~ ( ( n0 = B )
& ( n1 = A ) )
& ~ ( ( n0 = B )
& ( n2 = A ) )
& ~ ( ( n0 = B )
& ( n3 = A ) )
& ~ ( ( n0 = B )
& ( n4 = A ) ) ) )),
( ( ~ ( ( n0 = A )
& ( n1 = B ) )
& ~ ( ( n0 = A )
& ( n2 = B ) )
& ~ ( ( n0 = A )
& ( n3 = B ) )
& ~ ( ( n0 = A )
& ( n4 = B ) )
& ~ ( ( n0 = A )
& ( n5 = B ) )
& ~ ( ( n0 = B )
& ( n1 = A ) )
& ~ ( ( n0 = B )
& ( n2 = A ) )
& ~ ( ( n0 = B )
& ( n3 = A ) )
& ~ ( ( n0 = B )
& ( n4 = A ) ) )
<=> ( ~ ( ( n0 = A )
& ( n1 = B ) )
& ~ ( ( n0 = A )
& ( n2 = B ) )
& ~ ( ( n0 = A )
& ( n3 = B ) )
& ~ ( ( n0 = A )
& ( n4 = B ) )
& ~ ( ( n0 = A )
& ( n5 = B ) )
& ~ ( ( n0 = B )
& ( n1 = A ) )
& ~ ( ( n0 = B )
& ( n2 = A ) )
& ~ ( ( n0 = B )
& ( n3 = A ) )
& ~ ( ( n0 = B )
& ( n4 = A ) ) ) )),
( ( ~ ( ( n0 = A )
& ( n1 = B ) )
& ~ ( ( n0 = A )
& ( n2 = B ) )
& ~ ( ( n0 = A )
& ( n3 = B ) )
& ~ ( ( n0 = A )
& ( n4 = B ) )
& ~ ( ( n0 = A )
& ( n5 = B ) )
& ~ ( ( n0 = B )
& ( n1 = A ) )
& ~ ( ( n0 = B )
& ( n2 = A ) )
& ~ ( ( n0 = B )
& ( n3 = A ) )
& ~ ( ( n0 = B )
& ( n4 = A ) )
& ~ ( ( n0 = B )
& ( n5 = A ) ) )
<=> ( ~ ( ( n0 = A )
& ( n1 = B ) )
& ~ ( ( n0 = A )
& ( n2 = B ) )
& ~ ( ( n0 = A )
& ( n3 = B ) )
& ~ ( ( n0 = A )
& ( n4 = B ) )
& ~ ( ( n0 = A )
& ( n5 = B ) )
& ~ ( ( n0 = B )
& ( n1 = A ) )
& ~ ( ( n0 = B )
& ( n2 = A ) )
& ~ ( ( n0 = B )
& ( n3 = A ) )
& ~ ( ( n0 = B )
& ( n4 = A ) )
& ~ ( ( n0 = B )
& ( n5 = A ) ) ) )),
rewrite(( ( ~ ( ( n0 = A )
& ( n1 = B ) )
& ~ ( ( n0 = A )
& ( n2 = B ) )
& ~ ( ( n0 = A )
& ( n3 = B ) )
& ~ ( ( n0 = A )
& ( n4 = B ) )
& ~ ( ( n0 = A )
& ( n5 = B ) )
& ~ ( ( n0 = B )
& ( n1 = A ) )
& ~ ( ( n0 = B )
& ( n2 = A ) )
& ~ ( ( n0 = B )
& ( n3 = A ) )
& ~ ( ( n0 = B )
& ( n4 = A ) )
& ~ ( ( n0 = B )
& ( n5 = A ) ) )
<=> ( ~ ( ( n0 = A )
& ( n1 = B ) )
& ~ ( ( n0 = A )
& ( n2 = B ) )
& ~ ( ( n0 = A )
& ( n3 = B ) )
& ~ ( ( n0 = A )
& ( n4 = B ) )
& ~ ( ( n0 = A )
& ( n5 = B ) )
& ~ ( ( n0 = B )
& ( n1 = A ) )
& ~ ( ( n0 = B )
& ( n2 = A ) )
& ~ ( ( n0 = B )
& ( n3 = A ) )
& ~ ( ( n0 = B )
& ( n4 = A ) )
& ~ ( ( n0 = B )
& ( n5 = A ) ) ) )),
( ( ~ ( ( n0 = A )
& ( n1 = B ) )
& ~ ( ( n0 = A )
& ( n2 = B ) )
& ~ ( ( n0 = A )
& ( n3 = B ) )
& ~ ( ( n0 = A )
& ( n4 = B ) )
& ~ ( ( n0 = A )
& ( n5 = B ) )
& ~ ( ( n0 = B )
& ( n1 = A ) )
& ~ ( ( n0 = B )
& ( n2 = A ) )
& ~ ( ( n0 = B )
& ( n3 = A ) )
& ~ ( ( n0 = B )
& ( n4 = A ) )
& ~ ( ( n0 = B )
& ( n5 = A ) ) )
<=> ( ~ ( ( n0 = A )
& ( n1 = B ) )
& ~ ( ( n0 = A )
& ( n2 = B ) )
& ~ ( ( n0 = A )
& ( n3 = B ) )
& ~ ( ( n0 = A )
& ( n4 = B ) )
& ~ ( ( n0 = A )
& ( n5 = B ) )
& ~ ( ( n0 = B )
& ( n1 = A ) )
& ~ ( ( n0 = B )
& ( n2 = A ) )
& ~ ( ( n0 = B )
& ( n3 = A ) )
& ~ ( ( n0 = B )
& ( n4 = A ) )
& ~ ( ( n0 = B )
& ( n5 = A ) ) ) )),
( ( ~ ( ( n0 = A )
& ( n1 = B ) )
& ~ ( ( n0 = A )
& ( n2 = B ) )
& ~ ( ( n0 = A )
& ( n3 = B ) )
& ~ ( ( n0 = A )
& ( n4 = B ) )
& ~ ( ( n0 = A )
& ( n5 = B ) )
& ~ ( ( n0 = B )
& ( n1 = A ) )
& ~ ( ( n0 = B )
& ( n2 = A ) )
& ~ ( ( n0 = B )
& ( n3 = A ) )
& ~ ( ( n0 = B )
& ( n4 = A ) )
& ~ ( ( n0 = B )
& ( n5 = A ) )
& ~ ( ( n1 = A )
& ( n1 = B ) ) )
<=> ( ~ ( ( n0 = A )
& ( n1 = B ) )
& ~ ( ( n0 = A )
& ( n2 = B ) )
& ~ ( ( n0 = A )
& ( n3 = B ) )
& ~ ( ( n0 = A )
& ( n4 = B ) )
& ~ ( ( n0 = A )
& ( n5 = B ) )
& ~ ( ( n0 = B )
& ( n1 = A ) )
& ~ ( ( n0 = B )
& ( n2 = A ) )
& ~ ( ( n0 = B )
& ( n3 = A ) )
& ~ ( ( n0 = B )
& ( n4 = A ) )
& ~ ( ( n0 = B )
& ( n5 = A ) )
& ~ ( ( n1 = A )
& ( n1 = B ) ) ) )),
rewrite(( ( ~ ( ( n0 = A )
& ( n1 = B ) )
& ~ ( ( n0 = A )
& ( n2 = B ) )
& ~ ( ( n0 = A )
& ( n3 = B ) )
& ~ ( ( n0 = A )
& ( n4 = B ) )
& ~ ( ( n0 = A )
& ( n5 = B ) )
& ~ ( ( n0 = B )
& ( n1 = A ) )
& ~ ( ( n0 = B )
& ( n2 = A ) )
& ~ ( ( n0 = B )
& ( n3 = A ) )
& ~ ( ( n0 = B )
& ( n4 = A ) )
& ~ ( ( n0 = B )
& ( n5 = A ) )
& ~ ( ( n1 = A )
& ( n1 = B ) ) )
<=> ( ~ ( ( n0 = A )
& ( n1 = B ) )
& ~ ( ( n0 = A )
& ( n2 = B ) )
& ~ ( ( n0 = A )
& ( n3 = B ) )
& ~ ( ( n0 = A )
& ( n4 = B ) )
& ~ ( ( n0 = A )
& ( n5 = B ) )
& ~ ( ( n0 = B )
& ( n1 = A ) )
& ~ ( ( n0 = B )
& ( n2 = A ) )
& ~ ( ( n0 = B )
& ( n3 = A ) )
& ~ ( ( n0 = B )
& ( n4 = A ) )
& ~ ( ( n0 = B )
& ( n5 = A ) )
& ~ ( ( n1 = A )
& ( n1 = B ) ) ) )),
( ( ~ ( ( n0 = A )
& ( n1 = B ) )
& ~ ( ( n0 = A )
& ( n2 = B ) )
& ~ ( ( n0 = A )
& ( n3 = B ) )
& ~ ( ( n0 = A )
& ( n4 = B ) )
& ~ ( ( n0 = A )
& ( n5 = B ) )
& ~ ( ( n0 = B )
& ( n1 = A ) )
& ~ ( ( n0 = B )
& ( n2 = A ) )
& ~ ( ( n0 = B )
& ( n3 = A ) )
& ~ ( ( n0 = B )
& ( n4 = A ) )
& ~ ( ( n0 = B )
& ( n5 = A ) )
& ~ ( ( n1 = A )
& ( n1 = B ) ) )
<=> ( ~ ( ( n0 = A )
& ( n1 = B ) )
& ~ ( ( n0 = A )
& ( n2 = B ) )
& ~ ( ( n0 = A )
& ( n3 = B ) )
& ~ ( ( n0 = A )
& ( n4 = B ) )
& ~ ( ( n0 = A )
& ( n5 = B ) )
& ~ ( ( n0 = B )
& ( n1 = A ) )
& ~ ( ( n0 = B )
& ( n2 = A ) )
& ~ ( ( n0 = B )
& ( n3 = A ) )
& ~ ( ( n0 = B )
& ( n4 = A ) )
& ~ ( ( n0 = B )
& ( n5 = A ) )
& ~ ( ( n1 = A )
& ( n1 = B ) ) ) )),
( ( ~ ( ( n0 = A )
& ( n1 = B ) )
& ~ ( ( n0 = A )
& ( n2 = B ) )
& ~ ( ( n0 = A )
& ( n3 = B ) )
& ~ ( ( n0 = A )
& ( n4 = B ) )
& ~ ( ( n0 = A )
& ( n5 = B ) )
& ~ ( ( n0 = B )
& ( n1 = A ) )
& ~ ( ( n0 = B )
& ( n2 = A ) )
& ~ ( ( n0 = B )
& ( n3 = A ) )
& ~ ( ( n0 = B )
& ( n4 = A ) )
& ~ ( ( n0 = B )
& ( n5 = A ) )
& ~ ( ( n1 = A )
& ( n1 = B ) )
& ~ ( ( n1 = A )
& ( n2 = B ) ) )
<=> ( ~ ( ( n0 = A )
& ( n1 = B ) )
& ~ ( ( n0 = A )
& ( n2 = B ) )
& ~ ( ( n0 = A )
& ( n3 = B ) )
& ~ ( ( n0 = A )
& ( n4 = B ) )
& ~ ( ( n0 = A )
& ( n5 = B ) )
& ~ ( ( n0 = B )
& ( n1 = A ) )
& ~ ( ( n0 = B )
& ( n2 = A ) )
& ~ ( ( n0 = B )
& ( n3 = A ) )
& ~ ( ( n0 = B )
& ( n4 = A ) )
& ~ ( ( n0 = B )
& ( n5 = A ) )
& ~ ( ( n1 = A )
& ( n1 = B ) )
& ~ ( ( n1 = A )
& ( n2 = B ) ) ) )),
rewrite(( ( ~ ( ( n0 = A )
& ( n1 = B ) )
& ~ ( ( n0 = A )
& ( n2 = B ) )
& ~ ( ( n0 = A )
& ( n3 = B ) )
& ~ ( ( n0 = A )
& ( n4 = B ) )
& ~ ( ( n0 = A )
& ( n5 = B ) )
& ~ ( ( n0 = B )
& ( n1 = A ) )
& ~ ( ( n0 = B )
& ( n2 = A ) )
& ~ ( ( n0 = B )
& ( n3 = A ) )
& ~ ( ( n0 = B )
& ( n4 = A ) )
& ~ ( ( n0 = B )
& ( n5 = A ) )
& ~ ( ( n1 = A )
& ( n1 = B ) )
& ~ ( ( n1 = A )
& ( n2 = B ) ) )
<=> ( ~ ( ( n0 = A )
& ( n1 = B ) )
& ~ ( ( n0 = A )
& ( n2 = B ) )
& ~ ( ( n0 = A )
& ( n3 = B ) )
& ~ ( ( n0 = A )
& ( n4 = B ) )
& ~ ( ( n0 = A )
& ( n5 = B ) )
& ~ ( ( n0 = B )
& ( n1 = A ) )
& ~ ( ( n0 = B )
& ( n2 = A ) )
& ~ ( ( n0 = B )
& ( n3 = A ) )
& ~ ( ( n0 = B )
& ( n4 = A ) )
& ~ ( ( n0 = B )
& ( n5 = A ) )
& ~ ( ( n1 = A )
& ( n1 = B ) )
& ~ ( ( n1 = A )
& ( n2 = B ) ) ) )),
( ( ~ ( ( n0 = A )
& ( n1 = B ) )
& ~ ( ( n0 = A )
& ( n2 = B ) )
& ~ ( ( n0 = A )
& ( n3 = B ) )
& ~ ( ( n0 = A )
& ( n4 = B ) )
& ~ ( ( n0 = A )
& ( n5 = B ) )
& ~ ( ( n0 = B )
& ( n1 = A ) )
& ~ ( ( n0 = B )
& ( n2 = A ) )
& ~ ( ( n0 = B )
& ( n3 = A ) )
& ~ ( ( n0 = B )
& ( n4 = A ) )
& ~ ( ( n0 = B )
& ( n5 = A ) )
& ~ ( ( n1 = A )
& ( n1 = B ) )
& ~ ( ( n1 = A )
& ( n2 = B ) ) )
<=> ( ~ ( ( n0 = A )
& ( n1 = B ) )
& ~ ( ( n0 = A )
& ( n2 = B ) )
& ~ ( ( n0 = A )
& ( n3 = B ) )
& ~ ( ( n0 = A )
& ( n4 = B ) )
& ~ ( ( n0 = A )
& ( n5 = B ) )
& ~ ( ( n0 = B )
& ( n1 = A ) )
& ~ ( ( n0 = B )
& ( n2 = A ) )
& ~ ( ( n0 = B )
& ( n3 = A ) )
& ~ ( ( n0 = B )
& ( n4 = A ) )
& ~ ( ( n0 = B )
& ( n5 = A ) )
& ~ ( ( n1 = A )
& ( n1 = B ) )
& ~ ( ( n1 = A )
& ( n2 = B ) ) ) )),
( ( ~ ( ( n0 = A )
& ( n1 = B ) )
& ~ ( ( n0 = A )
& ( n2 = B ) )
& ~ ( ( n0 = A )
& ( n3 = B ) )
& ~ ( ( n0 = A )
& ( n4 = B ) )
& ~ ( ( n0 = A )
& ( n5 = B ) )
& ~ ( ( n0 = B )
& ( n1 = A ) )
& ~ ( ( n0 = B )
& ( n2 = A ) )
& ~ ( ( n0 = B )
& ( n3 = A ) )
& ~ ( ( n0 = B )
& ( n4 = A ) )
& ~ ( ( n0 = B )
& ( n5 = A ) )
& ~ ( ( n1 = A )
& ( n1 = B ) )
& ~ ( ( n1 = A )
& ( n2 = B ) )
& ~ ( ( n1 = A )
& ( n3 = B ) ) )
<=> ( ~ ( ( n0 = A )
& ( n1 = B ) )
& ~ ( ( n0 = A )
& ( n2 = B ) )
& ~ ( ( n0 = A )
& ( n3 = B ) )
& ~ ( ( n0 = A )
& ( n4 = B ) )
& ~ ( ( n0 = A )
& ( n5 = B ) )
& ~ ( ( n0 = B )
& ( n1 = A ) )
& ~ ( ( n0 = B )
& ( n2 = A ) )
& ~ ( ( n0 = B )
& ( n3 = A ) )
& ~ ( ( n0 = B )
& ( n4 = A ) )
& ~ ( ( n0 = B )
& ( n5 = A ) )
& ~ ( ( n1 = A )
& ( n1 = B ) )
& ~ ( ( n1 = A )
& ( n2 = B ) )
& ~ ( ( n1 = A )
& ( n3 = B ) ) ) )),
rewrite(( ( ~ ( ( n0 = A )
& ( n1 = B ) )
& ~ ( ( n0 = A )
& ( n2 = B ) )
& ~ ( ( n0 = A )
& ( n3 = B ) )
& ~ ( ( n0 = A )
& ( n4 = B ) )
& ~ ( ( n0 = A )
& ( n5 = B ) )
& ~ ( ( n0 = B )
& ( n1 = A ) )
& ~ ( ( n0 = B )
& ( n2 = A ) )
& ~ ( ( n0 = B )
& ( n3 = A ) )
& ~ ( ( n0 = B )
& ( n4 = A ) )
& ~ ( ( n0 = B )
& ( n5 = A ) )
& ~ ( ( n1 = A )
& ( n1 = B ) )
& ~ ( ( n1 = A )
& ( n2 = B ) )
& ~ ( ( n1 = A )
& ( n3 = B ) ) )
<=> ( ~ ( ( n0 = A )
& ( n1 = B ) )
& ~ ( ( n0 = A )
& ( n2 = B ) )
& ~ ( ( n0 = A )
& ( n3 = B ) )
& ~ ( ( n0 = A )
& ( n4 = B ) )
& ~ ( ( n0 = A )
& ( n5 = B ) )
& ~ ( ( n0 = B )
& ( n1 = A ) )
& ~ ( ( n0 = B )
& ( n2 = A ) )
& ~ ( ( n0 = B )
& ( n3 = A ) )
& ~ ( ( n0 = B )
& ( n4 = A ) )
& ~ ( ( n0 = B )
& ( n5 = A ) )
& ~ ( ( n1 = A )
& ( n1 = B ) )
& ~ ( ( n1 = A )
& ( n2 = B ) )
& ~ ( ( n1 = A )
& ( n3 = B ) ) ) )),
( ( ~ ( ( n0 = A )
& ( n1 = B ) )
& ~ ( ( n0 = A )
& ( n2 = B ) )
& ~ ( ( n0 = A )
& ( n3 = B ) )
& ~ ( ( n0 = A )
& ( n4 = B ) )
& ~ ( ( n0 = A )
& ( n5 = B ) )
& ~ ( ( n0 = B )
& ( n1 = A ) )
& ~ ( ( n0 = B )
& ( n2 = A ) )
& ~ ( ( n0 = B )
& ( n3 = A ) )
& ~ ( ( n0 = B )
& ( n4 = A ) )
& ~ ( ( n0 = B )
& ( n5 = A ) )
& ~ ( ( n1 = A )
& ( n1 = B ) )
& ~ ( ( n1 = A )
& ( n2 = B ) )
& ~ ( ( n1 = A )
& ( n3 = B ) ) )
<=> ( ~ ( ( n0 = A )
& ( n1 = B ) )
& ~ ( ( n0 = A )
& ( n2 = B ) )
& ~ ( ( n0 = A )
& ( n3 = B ) )
& ~ ( ( n0 = A )
& ( n4 = B ) )
& ~ ( ( n0 = A )
& ( n5 = B ) )
& ~ ( ( n0 = B )
& ( n1 = A ) )
& ~ ( ( n0 = B )
& ( n2 = A ) )
& ~ ( ( n0 = B )
& ( n3 = A ) )
& ~ ( ( n0 = B )
& ( n4 = A ) )
& ~ ( ( n0 = B )
& ( n5 = A ) )
& ~ ( ( n1 = A )
& ( n1 = B ) )
& ~ ( ( n1 = A )
& ( n2 = B ) )
& ~ ( ( n1 = A )
& ( n3 = B ) ) ) )),
( ( ~ ( ( n0 = A )
& ( n1 = B ) )
& ~ ( ( n0 = A )
& ( n2 = B ) )
& ~ ( ( n0 = A )
& ( n3 = B ) )
& ~ ( ( n0 = A )
& ( n4 = B ) )
& ~ ( ( n0 = A )
& ( n5 = B ) )
& ~ ( ( n0 = B )
& ( n1 = A ) )
& ~ ( ( n0 = B )
& ( n2 = A ) )
& ~ ( ( n0 = B )
& ( n3 = A ) )
& ~ ( ( n0 = B )
& ( n4 = A ) )
& ~ ( ( n0 = B )
& ( n5 = A ) )
& ~ ( ( n1 = A )
& ( n1 = B ) )
& ~ ( ( n1 = A )
& ( n2 = B ) )
& ~ ( ( n1 = A )
& ( n3 = B ) )
& ~ ( ( n1 = A )
& ( n4 = B ) ) )
<=> ( ~ ( ( n0 = A )
& ( n1 = B ) )
& ~ ( ( n0 = A )
& ( n2 = B ) )
& ~ ( ( n0 = A )
& ( n3 = B ) )
& ~ ( ( n0 = A )
& ( n4 = B ) )
& ~ ( ( n0 = A )
& ( n5 = B ) )
& ~ ( ( n0 = B )
& ( n1 = A ) )
& ~ ( ( n0 = B )
& ( n2 = A ) )
& ~ ( ( n0 = B )
& ( n3 = A ) )
& ~ ( ( n0 = B )
& ( n4 = A ) )
& ~ ( ( n0 = B )
& ( n5 = A ) )
& ~ ( ( n1 = A )
& ( n1 = B ) )
& ~ ( ( n1 = A )
& ( n2 = B ) )
& ~ ( ( n1 = A )
& ( n3 = B ) )
& ~ ( ( n1 = A )
& ( n4 = B ) ) ) )),
rewrite(( ( ~ ( ( n0 = A )
& ( n1 = B ) )
& ~ ( ( n0 = A )
& ( n2 = B ) )
& ~ ( ( n0 = A )
& ( n3 = B ) )
& ~ ( ( n0 = A )
& ( n4 = B ) )
& ~ ( ( n0 = A )
& ( n5 = B ) )
& ~ ( ( n0 = B )
& ( n1 = A ) )
& ~ ( ( n0 = B )
& ( n2 = A ) )
& ~ ( ( n0 = B )
& ( n3 = A ) )
& ~ ( ( n0 = B )
& ( n4 = A ) )
& ~ ( ( n0 = B )
& ( n5 = A ) )
& ~ ( ( n1 = A )
& ( n1 = B ) )
& ~ ( ( n1 = A )
& ( n2 = B ) )
& ~ ( ( n1 = A )
& ( n3 = B ) )
& ~ ( ( n1 = A )
& ( n4 = B ) ) )
<=> ( ~ ( ( n0 = A )
& ( n1 = B ) )
& ~ ( ( n0 = A )
& ( n2 = B ) )
& ~ ( ( n0 = A )
& ( n3 = B ) )
& ~ ( ( n0 = A )
& ( n4 = B ) )
& ~ ( ( n0 = A )
& ( n5 = B ) )
& ~ ( ( n0 = B )
& ( n1 = A ) )
& ~ ( ( n0 = B )
& ( n2 = A ) )
& ~ ( ( n0 = B )
& ( n3 = A ) )
& ~ ( ( n0 = B )
& ( n4 = A ) )
& ~ ( ( n0 = B )
& ( n5 = A ) )
& ~ ( ( n1 = A )
& ( n1 = B ) )
& ~ ( ( n1 = A )
& ( n2 = B ) )
& ~ ( ( n1 = A )
& ( n3 = B ) )
& ~ ( ( n1 = A )
& ( n4 = B ) ) ) )),
( ( ~ ( ( n0 = A )
& ( n1 = B ) )
& ~ ( ( n0 = A )
& ( n2 = B ) )
& ~ ( ( n0 = A )
& ( n3 = B ) )
& ~ ( ( n0 = A )
& ( n4 = B ) )
& ~ ( ( n0 = A )
& ( n5 = B ) )
& ~ ( ( n0 = B )
& ( n1 = A ) )
& ~ ( ( n0 = B )
& ( n2 = A ) )
& ~ ( ( n0 = B )
& ( n3 = A ) )
& ~ ( ( n0 = B )
& ( n4 = A ) )
& ~ ( ( n0 = B )
& ( n5 = A ) )
& ~ ( ( n1 = A )
& ( n1 = B ) )
& ~ ( ( n1 = A )
& ( n2 = B ) )
& ~ ( ( n1 = A )
& ( n3 = B ) )
& ~ ( ( n1 = A )
& ( n4 = B ) ) )
<=> ( ~ ( ( n0 = A )
& ( n1 = B ) )
& ~ ( ( n0 = A )
& ( n2 = B ) )
& ~ ( ( n0 = A )
& ( n3 = B ) )
& ~ ( ( n0 = A )
& ( n4 = B ) )
& ~ ( ( n0 = A )
& ( n5 = B ) )
& ~ ( ( n0 = B )
& ( n1 = A ) )
& ~ ( ( n0 = B )
& ( n2 = A ) )
& ~ ( ( n0 = B )
& ( n3 = A ) )
& ~ ( ( n0 = B )
& ( n4 = A ) )
& ~ ( ( n0 = B )
& ( n5 = A ) )
& ~ ( ( n1 = A )
& ( n1 = B ) )
& ~ ( ( n1 = A )
& ( n2 = B ) )
& ~ ( ( n1 = A )
& ( n3 = B ) )
& ~ ( ( n1 = A )
& ( n4 = B ) ) ) )),
( ( ~ ( ( n0 = A )
& ( n1 = B ) )
& ~ ( ( n0 = A )
& ( n2 = B ) )
& ~ ( ( n0 = A )
& ( n3 = B ) )
& ~ ( ( n0 = A )
& ( n4 = B ) )
& ~ ( ( n0 = A )
& ( n5 = B ) )
& ~ ( ( n0 = B )
& ( n1 = A ) )
& ~ ( ( n0 = B )
& ( n2 = A ) )
& ~ ( ( n0 = B )
& ( n3 = A ) )
& ~ ( ( n0 = B )
& ( n4 = A ) )
& ~ ( ( n0 = B )
& ( n5 = A ) )
& ~ ( ( n1 = A )
& ( n1 = B ) )
& ~ ( ( n1 = A )
& ( n2 = B ) )
& ~ ( ( n1 = A )
& ( n3 = B ) )
& ~ ( ( n1 = A )
& ( n4 = B ) )
& ~ ( ( n1 = A )
& ( n5 = B ) ) )
<=> ( ~ ( ( n0 = A )
& ( n1 = B ) )
& ~ ( ( n0 = A )
& ( n2 = B ) )
& ~ ( ( n0 = A )
& ( n3 = B ) )
& ~ ( ( n0 = A )
& ( n4 = B ) )
& ~ ( ( n0 = A )
& ( n5 = B ) )
& ~ ( ( n0 = B )
& ( n1 = A ) )
& ~ ( ( n0 = B )
& ( n2 = A ) )
& ~ ( ( n0 = B )
& ( n3 = A ) )
& ~ ( ( n0 = B )
& ( n4 = A ) )
& ~ ( ( n0 = B )
& ( n5 = A ) )
& ~ ( ( n1 = A )
& ( n1 = B ) )
& ~ ( ( n1 = A )
& ( n2 = B ) )
& ~ ( ( n1 = A )
& ( n3 = B ) )
& ~ ( ( n1 = A )
& ( n4 = B ) )
& ~ ( ( n1 = A )
& ( n5 = B ) ) ) )),
rewrite(( ( ~ ( ( n0 = A )
& ( n1 = B ) )
& ~ ( ( n0 = A )
& ( n2 = B ) )
& ~ ( ( n0 = A )
& ( n3 = B ) )
& ~ ( ( n0 = A )
& ( n4 = B ) )
& ~ ( ( n0 = A )
& ( n5 = B ) )
& ~ ( ( n0 = B )
& ( n1 = A ) )
& ~ ( ( n0 = B )
& ( n2 = A ) )
& ~ ( ( n0 = B )
& ( n3 = A ) )
& ~ ( ( n0 = B )
& ( n4 = A ) )
& ~ ( ( n0 = B )
& ( n5 = A ) )
& ~ ( ( n1 = A )
& ( n1 = B ) )
& ~ ( ( n1 = A )
& ( n2 = B ) )
& ~ ( ( n1 = A )
& ( n3 = B ) )
& ~ ( ( n1 = A )
& ( n4 = B ) )
& ~ ( ( n1 = A )
& ( n5 = B ) ) )
<=> ( ~ ( ( n0 = A )
& ( n1 = B ) )
& ~ ( ( n0 = A )
& ( n2 = B ) )
& ~ ( ( n0 = A )
& ( n3 = B ) )
& ~ ( ( n0 = A )
& ( n4 = B ) )
& ~ ( ( n0 = A )
& ( n5 = B ) )
& ~ ( ( n0 = B )
& ( n1 = A ) )
& ~ ( ( n0 = B )
& ( n2 = A ) )
& ~ ( ( n0 = B )
& ( n3 = A ) )
& ~ ( ( n0 = B )
& ( n4 = A ) )
& ~ ( ( n0 = B )
& ( n5 = A ) )
& ~ ( ( n1 = A )
& ( n1 = B ) )
& ~ ( ( n1 = A )
& ( n2 = B ) )
& ~ ( ( n1 = A )
& ( n3 = B ) )
& ~ ( ( n1 = A )
& ( n4 = B ) )
& ~ ( ( n1 = A )
& ( n5 = B ) ) ) )),
( ( ~ ( ( n0 = A )
& ( n1 = B ) )
& ~ ( ( n0 = A )
& ( n2 = B ) )
& ~ ( ( n0 = A )
& ( n3 = B ) )
& ~ ( ( n0 = A )
& ( n4 = B ) )
& ~ ( ( n0 = A )
& ( n5 = B ) )
& ~ ( ( n0 = B )
& ( n1 = A ) )
& ~ ( ( n0 = B )
& ( n2 = A ) )
& ~ ( ( n0 = B )
& ( n3 = A ) )
& ~ ( ( n0 = B )
& ( n4 = A ) )
& ~ ( ( n0 = B )
& ( n5 = A ) )
& ~ ( ( n1 = A )
& ( n1 = B ) )
& ~ ( ( n1 = A )
& ( n2 = B ) )
& ~ ( ( n1 = A )
& ( n3 = B ) )
& ~ ( ( n1 = A )
& ( n4 = B ) )
& ~ ( ( n1 = A )
& ( n5 = B ) ) )
<=> ( ~ ( ( n0 = A )
& ( n1 = B ) )
& ~ ( ( n0 = A )
& ( n2 = B ) )
& ~ ( ( n0 = A )
& ( n3 = B ) )
& ~ ( ( n0 = A )
& ( n4 = B ) )
& ~ ( ( n0 = A )
& ( n5 = B ) )
& ~ ( ( n0 = B )
& ( n1 = A ) )
& ~ ( ( n0 = B )
& ( n2 = A ) )
& ~ ( ( n0 = B )
& ( n3 = A ) )
& ~ ( ( n0 = B )
& ( n4 = A ) )
& ~ ( ( n0 = B )
& ( n5 = A ) )
& ~ ( ( n1 = A )
& ( n1 = B ) )
& ~ ( ( n1 = A )
& ( n2 = B ) )
& ~ ( ( n1 = A )
& ( n3 = B ) )
& ~ ( ( n1 = A )
& ( n4 = B ) )
& ~ ( ( n1 = A )
& ( n5 = B ) ) ) )),
( ( ~ ( ( n0 = A )
& ( n1 = B ) )
& ~ ( ( n0 = A )
& ( n2 = B ) )
& ~ ( ( n0 = A )
& ( n3 = B ) )
& ~ ( ( n0 = A )
& ( n4 = B ) )
& ~ ( ( n0 = A )
& ( n5 = B ) )
& ~ ( ( n0 = B )
& ( n1 = A ) )
& ~ ( ( n0 = B )
& ( n2 = A ) )
& ~ ( ( n0 = B )
& ( n3 = A ) )
& ~ ( ( n0 = B )
& ( n4 = A ) )
& ~ ( ( n0 = B )
& ( n5 = A ) )
& ~ ( ( n1 = A )
& ( n1 = B ) )
& ~ ( ( n1 = A )
& ( n2 = B ) )
& ~ ( ( n1 = A )
& ( n3 = B ) )
& ~ ( ( n1 = A )
& ( n4 = B ) )
& ~ ( ( n1 = A )
& ( n5 = B ) )
& ~ ( ( n1 = B )
& ( n2 = A ) ) )
<=> ( ~ ( ( n0 = A )
& ( n1 = B ) )
& ~ ( ( n0 = A )
& ( n2 = B ) )
& ~ ( ( n0 = A )
& ( n3 = B ) )
& ~ ( ( n0 = A )
& ( n4 = B ) )
& ~ ( ( n0 = A )
& ( n5 = B ) )
& ~ ( ( n0 = B )
& ( n1 = A ) )
& ~ ( ( n0 = B )
& ( n2 = A ) )
& ~ ( ( n0 = B )
& ( n3 = A ) )
& ~ ( ( n0 = B )
& ( n4 = A ) )
& ~ ( ( n0 = B )
& ( n5 = A ) )
& ~ ( ( n1 = A )
& ( n1 = B ) )
& ~ ( ( n1 = A )
& ( n2 = B ) )
& ~ ( ( n1 = A )
& ( n3 = B ) )
& ~ ( ( n1 = A )
& ( n4 = B ) )
& ~ ( ( n1 = A )
& ( n5 = B ) )
& ~ ( ( n1 = B )
& ( n2 = A ) ) ) )),
rewrite(( ( ~ ( ( n0 = A )
& ( n1 = B ) )
& ~ ( ( n0 = A )
& ( n2 = B ) )
& ~ ( ( n0 = A )
& ( n3 = B ) )
& ~ ( ( n0 = A )
& ( n4 = B ) )
& ~ ( ( n0 = A )
& ( n5 = B ) )
& ~ ( ( n0 = B )
& ( n1 = A ) )
& ~ ( ( n0 = B )
& ( n2 = A ) )
& ~ ( ( n0 = B )
& ( n3 = A ) )
& ~ ( ( n0 = B )
& ( n4 = A ) )
& ~ ( ( n0 = B )
& ( n5 = A ) )
& ~ ( ( n1 = A )
& ( n1 = B ) )
& ~ ( ( n1 = A )
& ( n2 = B ) )
& ~ ( ( n1 = A )
& ( n3 = B ) )
& ~ ( ( n1 = A )
& ( n4 = B ) )
& ~ ( ( n1 = A )
& ( n5 = B ) )
& ~ ( ( n1 = B )
& ( n2 = A ) ) )
<=> ( ~ ( ( n0 = A )
& ( n1 = B ) )
& ~ ( ( n0 = A )
& ( n2 = B ) )
& ~ ( ( n0 = A )
& ( n3 = B ) )
& ~ ( ( n0 = A )
& ( n4 = B ) )
& ~ ( ( n0 = A )
& ( n5 = B ) )
& ~ ( ( n0 = B )
& ( n1 = A ) )
& ~ ( ( n0 = B )
& ( n2 = A ) )
& ~ ( ( n0 = B )
& ( n3 = A ) )
& ~ ( ( n0 = B )
& ( n4 = A ) )
& ~ ( ( n0 = B )
& ( n5 = A ) )
& ~ ( ( n1 = A )
& ( n1 = B ) )
& ~ ( ( n1 = A )
& ( n2 = B ) )
& ~ ( ( n1 = A )
& ( n3 = B ) )
& ~ ( ( n1 = A )
& ( n4 = B ) )
& ~ ( ( n1 = A )
& ( n5 = B ) )
& ~ ( ( n1 = B )
& ( n2 = A ) ) ) )),
( ( ~ ( ( n0 = A )
& ( n1 = B ) )
& ~ ( ( n0 = A )
& ( n2 = B ) )
& ~ ( ( n0 = A )
& ( n3 = B ) )
& ~ ( ( n0 = A )
& ( n4 = B ) )
& ~ ( ( n0 = A )
& ( n5 = B ) )
& ~ ( ( n0 = B )
& ( n1 = A ) )
& ~ ( ( n0 = B )
& ( n2 = A ) )
& ~ ( ( n0 = B )
& ( n3 = A ) )
& ~ ( ( n0 = B )
& ( n4 = A ) )
& ~ ( ( n0 = B )
& ( n5 = A ) )
& ~ ( ( n1 = A )
& ( n1 = B ) )
& ~ ( ( n1 = A )
& ( n2 = B ) )
& ~ ( ( n1 = A )
& ( n3 = B ) )
& ~ ( ( n1 = A )
& ( n4 = B ) )
& ~ ( ( n1 = A )
& ( n5 = B ) )
& ~ ( ( n1 = B )
& ( n2 = A ) ) )
<=> ( ~ ( ( n0 = A )
& ( n1 = B ) )
& ~ ( ( n0 = A )
& ( n2 = B ) )
& ~ ( ( n0 = A )
& ( n3 = B ) )
& ~ ( ( n0 = A )
& ( n4 = B ) )
& ~ ( ( n0 = A )
& ( n5 = B ) )
& ~ ( ( n0 = B )
& ( n1 = A ) )
& ~ ( ( n0 = B )
& ( n2 = A ) )
& ~ ( ( n0 = B )
& ( n3 = A ) )
& ~ ( ( n0 = B )
& ( n4 = A ) )
& ~ ( ( n0 = B )
& ( n5 = A ) )
& ~ ( ( n1 = A )
& ( n1 = B ) )
& ~ ( ( n1 = A )
& ( n2 = B ) )
& ~ ( ( n1 = A )
& ( n3 = B ) )
& ~ ( ( n1 = A )
& ( n4 = B ) )
& ~ ( ( n1 = A )
& ( n5 = B ) )
& ~ ( ( n1 = B )
& ( n2 = A ) ) ) )),
( ( ~ ( ( n0 = A )
& ( n1 = B ) )
& ~ ( ( n0 = A )
& ( n2 = B ) )
& ~ ( ( n0 = A )
& ( n3 = B ) )
& ~ ( ( n0 = A )
& ( n4 = B ) )
& ~ ( ( n0 = A )
& ( n5 = B ) )
& ~ ( ( n0 = B )
& ( n1 = A ) )
& ~ ( ( n0 = B )
& ( n2 = A ) )
& ~ ( ( n0 = B )
& ( n3 = A ) )
& ~ ( ( n0 = B )
& ( n4 = A ) )
& ~ ( ( n0 = B )
& ( n5 = A ) )
& ~ ( ( n1 = A )
& ( n1 = B ) )
& ~ ( ( n1 = A )
& ( n2 = B ) )
& ~ ( ( n1 = A )
& ( n3 = B ) )
& ~ ( ( n1 = A )
& ( n4 = B ) )
& ~ ( ( n1 = A )
& ( n5 = B ) )
& ~ ( ( n1 = B )
& ( n2 = A ) )
& ~ ( ( n1 = B )
& ( n3 = A ) ) )
<=> ( ~ ( ( n0 = A )
& ( n1 = B ) )
& ~ ( ( n0 = A )
& ( n2 = B ) )
& ~ ( ( n0 = A )
& ( n3 = B ) )
& ~ ( ( n0 = A )
& ( n4 = B ) )
& ~ ( ( n0 = A )
& ( n5 = B ) )
& ~ ( ( n0 = B )
& ( n1 = A ) )
& ~ ( ( n0 = B )
& ( n2 = A ) )
& ~ ( ( n0 = B )
& ( n3 = A ) )
& ~ ( ( n0 = B )
& ( n4 = A ) )
& ~ ( ( n0 = B )
& ( n5 = A ) )
& ~ ( ( n1 = A )
& ( n1 = B ) )
& ~ ( ( n1 = A )
& ( n2 = B ) )
& ~ ( ( n1 = A )
& ( n3 = B ) )
& ~ ( ( n1 = A )
& ( n4 = B ) )
& ~ ( ( n1 = A )
& ( n5 = B ) )
& ~ ( ( n1 = B )
& ( n2 = A ) )
& ~ ( ( n1 = B )
& ( n3 = A ) ) ) )),
rewrite(( ( ~ ( ( n0 = A )
& ( n1 = B ) )
& ~ ( ( n0 = A )
& ( n2 = B ) )
& ~ ( ( n0 = A )
& ( n3 = B ) )
& ~ ( ( n0 = A )
& ( n4 = B ) )
& ~ ( ( n0 = A )
& ( n5 = B ) )
& ~ ( ( n0 = B )
& ( n1 = A ) )
& ~ ( ( n0 = B )
& ( n2 = A ) )
& ~ ( ( n0 = B )
& ( n3 = A ) )
& ~ ( ( n0 = B )
& ( n4 = A ) )
& ~ ( ( n0 = B )
& ( n5 = A ) )
& ~ ( ( n1 = A )
& ( n1 = B ) )
& ~ ( ( n1 = A )
& ( n2 = B ) )
& ~ ( ( n1 = A )
& ( n3 = B ) )
& ~ ( ( n1 = A )
& ( n4 = B ) )
& ~ ( ( n1 = A )
& ( n5 = B ) )
& ~ ( ( n1 = B )
& ( n2 = A ) )
& ~ ( ( n1 = B )
& ( n3 = A ) ) )
<=> ( ~ ( ( n0 = A )
& ( n1 = B ) )
& ~ ( ( n0 = A )
& ( n2 = B ) )
& ~ ( ( n0 = A )
& ( n3 = B ) )
& ~ ( ( n0 = A )
& ( n4 = B ) )
& ~ ( ( n0 = A )
& ( n5 = B ) )
& ~ ( ( n0 = B )
& ( n1 = A ) )
& ~ ( ( n0 = B )
& ( n2 = A ) )
& ~ ( ( n0 = B )
& ( n3 = A ) )
& ~ ( ( n0 = B )
& ( n4 = A ) )
& ~ ( ( n0 = B )
& ( n5 = A ) )
& ~ ( ( n1 = A )
& ( n1 = B ) )
& ~ ( ( n1 = A )
& ( n2 = B ) )
& ~ ( ( n1 = A )
& ( n3 = B ) )
& ~ ( ( n1 = A )
& ( n4 = B ) )
& ~ ( ( n1 = A )
& ( n5 = B ) )
& ~ ( ( n1 = B )
& ( n2 = A ) )
& ~ ( ( n1 = B )
& ( n3 = A ) ) ) )),
( ( ~ ( ( n0 = A )
& ( n1 = B ) )
& ~ ( ( n0 = A )
& ( n2 = B ) )
& ~ ( ( n0 = A )
& ( n3 = B ) )
& ~ ( ( n0 = A )
& ( n4 = B ) )
& ~ ( ( n0 = A )
& ( n5 = B ) )
& ~ ( ( n0 = B )
& ( n1 = A ) )
& ~ ( ( n0 = B )
& ( n2 = A ) )
& ~ ( ( n0 = B )
& ( n3 = A ) )
& ~ ( ( n0 = B )
& ( n4 = A ) )
& ~ ( ( n0 = B )
& ( n5 = A ) )
& ~ ( ( n1 = A )
& ( n1 = B ) )
& ~ ( ( n1 = A )
& ( n2 = B ) )
& ~ ( ( n1 = A )
& ( n3 = B ) )
& ~ ( ( n1 = A )
& ( n4 = B ) )
& ~ ( ( n1 = A )
& ( n5 = B ) )
& ~ ( ( n1 = B )
& ( n2 = A ) )
& ~ ( ( n1 = B )
& ( n3 = A ) ) )
<=> ( ~ ( ( n0 = A )
& ( n1 = B ) )
& ~ ( ( n0 = A )
& ( n2 = B ) )
& ~ ( ( n0 = A )
& ( n3 = B ) )
& ~ ( ( n0 = A )
& ( n4 = B ) )
& ~ ( ( n0 = A )
& ( n5 = B ) )
& ~ ( ( n0 = B )
& ( n1 = A ) )
& ~ ( ( n0 = B )
& ( n2 = A ) )
& ~ ( ( n0 = B )
& ( n3 = A ) )
& ~ ( ( n0 = B )
& ( n4 = A ) )
& ~ ( ( n0 = B )
& ( n5 = A ) )
& ~ ( ( n1 = A )
& ( n1 = B ) )
& ~ ( ( n1 = A )
& ( n2 = B ) )
& ~ ( ( n1 = A )
& ( n3 = B ) )
& ~ ( ( n1 = A )
& ( n4 = B ) )
& ~ ( ( n1 = A )
& ( n5 = B ) )
& ~ ( ( n1 = B )
& ( n2 = A ) )
& ~ ( ( n1 = B )
& ( n3 = A ) ) ) )),
( ( ~ ( ( n0 = A )
& ( n1 = B ) )
& ~ ( ( n0 = A )
& ( n2 = B ) )
& ~ ( ( n0 = A )
& ( n3 = B ) )
& ~ ( ( n0 = A )
& ( n4 = B ) )
& ~ ( ( n0 = A )
& ( n5 = B ) )
& ~ ( ( n0 = B )
& ( n1 = A ) )
& ~ ( ( n0 = B )
& ( n2 = A ) )
& ~ ( ( n0 = B )
& ( n3 = A ) )
& ~ ( ( n0 = B )
& ( n4 = A ) )
& ~ ( ( n0 = B )
& ( n5 = A ) )
& ~ ( ( n1 = A )
& ( n1 = B ) )
& ~ ( ( n1 = A )
& ( n2 = B ) )
& ~ ( ( n1 = A )
& ( n3 = B ) )
& ~ ( ( n1 = A )
& ( n4 = B ) )
& ~ ( ( n1 = A )
& ( n5 = B ) )
& ~ ( ( n1 = B )
& ( n2 = A ) )
& ~ ( ( n1 = B )
& ( n3 = A ) )
& ~ ( ( n1 = B )
& ( n4 = A ) ) )
<=> ( ~ ( ( n0 = A )
& ( n1 = B ) )
& ~ ( ( n0 = A )
& ( n2 = B ) )
& ~ ( ( n0 = A )
& ( n3 = B ) )
& ~ ( ( n0 = A )
& ( n4 = B ) )
& ~ ( ( n0 = A )
& ( n5 = B ) )
& ~ ( ( n0 = B )
& ( n1 = A ) )
& ~ ( ( n0 = B )
& ( n2 = A ) )
& ~ ( ( n0 = B )
& ( n3 = A ) )
& ~ ( ( n0 = B )
& ( n4 = A ) )
& ~ ( ( n0 = B )
& ( n5 = A ) )
& ~ ( ( n1 = A )
& ( n1 = B ) )
& ~ ( ( n1 = A )
& ( n2 = B ) )
& ~ ( ( n1 = A )
& ( n3 = B ) )
& ~ ( ( n1 = A )
& ( n4 = B ) )
& ~ ( ( n1 = A )
& ( n5 = B ) )
& ~ ( ( n1 = B )
& ( n2 = A ) )
& ~ ( ( n1 = B )
& ( n3 = A ) )
& ~ ( ( n1 = B )
& ( n4 = A ) ) ) )),
rewrite(( ( ~ ( ( n0 = A )
& ( n1 = B ) )
& ~ ( ( n0 = A )
& ( n2 = B ) )
& ~ ( ( n0 = A )
& ( n3 = B ) )
& ~ ( ( n0 = A )
& ( n4 = B ) )
& ~ ( ( n0 = A )
& ( n5 = B ) )
& ~ ( ( n0 = B )
& ( n1 = A ) )
& ~ ( ( n0 = B )
& ( n2 = A ) )
& ~ ( ( n0 = B )
& ( n3 = A ) )
& ~ ( ( n0 = B )
& ( n4 = A ) )
& ~ ( ( n0 = B )
& ( n5 = A ) )
& ~ ( ( n1 = A )
& ( n1 = B ) )
& ~ ( ( n1 = A )
& ( n2 = B ) )
& ~ ( ( n1 = A )
& ( n3 = B ) )
& ~ ( ( n1 = A )
& ( n4 = B ) )
& ~ ( ( n1 = A )
& ( n5 = B ) )
& ~ ( ( n1 = B )
& ( n2 = A ) )
& ~ ( ( n1 = B )
& ( n3 = A ) )
& ~ ( ( n1 = B )
& ( n4 = A ) ) )
<=> ( ~ ( ( n0 = A )
& ( n1 = B ) )
& ~ ( ( n0 = A )
& ( n2 = B ) )
& ~ ( ( n0 = A )
& ( n3 = B ) )
& ~ ( ( n0 = A )
& ( n4 = B ) )
& ~ ( ( n0 = A )
& ( n5 = B ) )
& ~ ( ( n0 = B )
& ( n1 = A ) )
& ~ ( ( n0 = B )
& ( n2 = A ) )
& ~ ( ( n0 = B )
& ( n3 = A ) )
& ~ ( ( n0 = B )
& ( n4 = A ) )
& ~ ( ( n0 = B )
& ( n5 = A ) )
& ~ ( ( n1 = A )
& ( n1 = B ) )
& ~ ( ( n1 = A )
& ( n2 = B ) )
& ~ ( ( n1 = A )
& ( n3 = B ) )
& ~ ( ( n1 = A )
& ( n4 = B ) )
& ~ ( ( n1 = A )
& ( n5 = B ) )
& ~ ( ( n1 = B )
& ( n2 = A ) )
& ~ ( ( n1 = B )
& ( n3 = A ) )
& ~ ( ( n1 = B )
& ( n4 = A ) ) ) )),
( ( ~ ( ( n0 = A )
& ( n1 = B ) )
& ~ ( ( n0 = A )
& ( n2 = B ) )
& ~ ( ( n0 = A )
& ( n3 = B ) )
& ~ ( ( n0 = A )
& ( n4 = B ) )
& ~ ( ( n0 = A )
& ( n5 = B ) )
& ~ ( ( n0 = B )
& ( n1 = A ) )
& ~ ( ( n0 = B )
& ( n2 = A ) )
& ~ ( ( n0 = B )
& ( n3 = A ) )
& ~ ( ( n0 = B )
& ( n4 = A ) )
& ~ ( ( n0 = B )
& ( n5 = A ) )
& ~ ( ( n1 = A )
& ( n1 = B ) )
& ~ ( ( n1 = A )
& ( n2 = B ) )
& ~ ( ( n1 = A )
& ( n3 = B ) )
& ~ ( ( n1 = A )
& ( n4 = B ) )
& ~ ( ( n1 = A )
& ( n5 = B ) )
& ~ ( ( n1 = B )
& ( n2 = A ) )
& ~ ( ( n1 = B )
& ( n3 = A ) )
& ~ ( ( n1 = B )
& ( n4 = A ) ) )
<=> ( ~ ( ( n0 = A )
& ( n1 = B ) )
& ~ ( ( n0 = A )
& ( n2 = B ) )
& ~ ( ( n0 = A )
& ( n3 = B ) )
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& ( n2 = B ) )
& ~ ( ( n1 = A )
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& ~ ( ( n1 = A )
& ( n4 = B ) )
& ~ ( ( n1 = A )
& ( n5 = B ) )
& ~ ( ( n1 = B )
& ( n2 = A ) )
& ~ ( ( n1 = B )
& ( n3 = A ) )
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& ( n4 = A ) ) ) )),
( ( ~ ( ( n0 = A )
& ( n1 = B ) )
& ~ ( ( n0 = A )
& ( n2 = B ) )
& ~ ( ( n0 = A )
& ( n3 = B ) )
& ~ ( ( n0 = A )
& ( n4 = B ) )
& ~ ( ( n0 = A )
& ( n5 = B ) )
& ~ ( ( n0 = B )
& ( n1 = A ) )
& ~ ( ( n0 = B )
& ( n2 = A ) )
& ~ ( ( n0 = B )
& ( n3 = A ) )
& ~ ( ( n0 = B )
& ( n4 = A ) )
& ~ ( ( n0 = B )
& ( n5 = A ) )
& ~ ( ( n1 = A )
& ( n1 = B ) )
& ~ ( ( n1 = A )
& ( n2 = B ) )
& ~ ( ( n1 = A )
& ( n3 = B ) )
& ~ ( ( n1 = A )
& ( n4 = B ) )
& ~ ( ( n1 = A )
& ( n5 = B ) )
& ~ ( ( n1 = B )
& ( n2 = A ) )
& ~ ( ( n1 = B )
& ( n3 = A ) )
& ~ ( ( n1 = B )
& ( n4 = A ) )
& ~ ( ( n1 = B )
& ( n5 = A ) ) )
<=> ( ~ ( ( n0 = A )
& ( n1 = B ) )
& ~ ( ( n0 = A )
& ( n2 = B ) )
& ~ ( ( n0 = A )
& ( n3 = B ) )
& ~ ( ( n0 = A )
& ( n4 = B ) )
& ~ ( ( n0 = A )
& ( n5 = B ) )
& ~ ( ( n0 = B )
& ( n1 = A ) )
& ~ ( ( n0 = B )
& ( n2 = A ) )
& ~ ( ( n0 = B )
& ( n3 = A ) )
& ~ ( ( n0 = B )
& ( n4 = A ) )
& ~ ( ( n0 = B )
& ( n5 = A ) )
& ~ ( ( n1 = A )
& ( n1 = B ) )
& ~ ( ( n1 = A )
& ( n2 = B ) )
& ~ ( ( n1 = A )
& ( n3 = B ) )
& ~ ( ( n1 = A )
& ( n4 = B ) )
& ~ ( ( n1 = A )
& ( n5 = B ) )
& ~ ( ( n1 = B )
& ( n2 = A ) )
& ~ ( ( n1 = B )
& ( n3 = A ) )
& ~ ( ( n1 = B )
& ( n4 = A ) )
& ~ ( ( n1 = B )
& ( n5 = A ) ) ) )),
rewrite(( ( ~ ( ( n0 = A )
& ( n1 = B ) )
& ~ ( ( n0 = A )
& ( n2 = B ) )
& ~ ( ( n0 = A )
& ( n3 = B ) )
& ~ ( ( n0 = A )
& ( n4 = B ) )
& ~ ( ( n0 = A )
& ( n5 = B ) )
& ~ ( ( n0 = B )
& ( n1 = A ) )
& ~ ( ( n0 = B )
& ( n2 = A ) )
& ~ ( ( n0 = B )
& ( n3 = A ) )
& ~ ( ( n0 = B )
& ( n4 = A ) )
& ~ ( ( n0 = B )
& ( n5 = A ) )
& ~ ( ( n1 = A )
& ( n1 = B ) )
& ~ ( ( n1 = A )
& ( n2 = B ) )
& ~ ( ( n1 = A )
& ( n3 = B ) )
& ~ ( ( n1 = A )
& ( n4 = B ) )
& ~ ( ( n1 = A )
& ( n5 = B ) )
& ~ ( ( n1 = B )
& ( n2 = A ) )
& ~ ( ( n1 = B )
& ( n3 = A ) )
& ~ ( ( n1 = B )
& ( n4 = A ) )
& ~ ( ( n1 = B )
& ( n5 = A ) ) )
<=> ( ~ ( ( n0 = A )
& ( n1 = B ) )
& ~ ( ( n0 = A )
& ( n2 = B ) )
& ~ ( ( n0 = A )
& ( n3 = B ) )
& ~ ( ( n0 = A )
& ( n4 = B ) )
& ~ ( ( n0 = A )
& ( n5 = B ) )
& ~ ( ( n0 = B )
& ( n1 = A ) )
& ~ ( ( n0 = B )
& ( n2 = A ) )
& ~ ( ( n0 = B )
& ( n3 = A ) )
& ~ ( ( n0 = B )
& ( n4 = A ) )
& ~ ( ( n0 = B )
& ( n5 = A ) )
& ~ ( ( n1 = A )
& ( n1 = B ) )
& ~ ( ( n1 = A )
& ( n2 = B ) )
& ~ ( ( n1 = A )
& ( n3 = B ) )
& ~ ( ( n1 = A )
& ( n4 = B ) )
& ~ ( ( n1 = A )
& ( n5 = B ) )
& ~ ( ( n1 = B )
& ( n2 = A ) )
& ~ ( ( n1 = B )
& ( n3 = A ) )
& ~ ( ( n1 = B )
& ( n4 = A ) )
& ~ ( ( n1 = B )
& ( n5 = A ) ) ) )),
( ( ~ ( ( n0 = A )
& ( n1 = B ) )
& ~ ( ( n0 = A )
& ( n2 = B ) )
& ~ ( ( n0 = A )
& ( n3 = B ) )
& ~ ( ( n0 = A )
& ( n4 = B ) )
& ~ ( ( n0 = A )
& ( n5 = B ) )
& ~ ( ( n0 = B )
& ( n1 = A ) )
& ~ ( ( n0 = B )
& ( n2 = A ) )
& ~ ( ( n0 = B )
& ( n3 = A ) )
& ~ ( ( n0 = B )
& ( n4 = A ) )
& ~ ( ( n0 = B )
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& ~ ( ( n1 = A )
& ( n1 = B ) )
& ~ ( ( n1 = A )
& ( n2 = B ) )
& ~ ( ( n1 = A )
& ( n3 = B ) )
& ~ ( ( n1 = A )
& ( n4 = B ) )
& ~ ( ( n1 = A )
& ( n5 = B ) )
& ~ ( ( n1 = B )
& ( n2 = A ) )
& ~ ( ( n1 = B )
& ( n3 = A ) )
& ~ ( ( n1 = B )
& ( n4 = A ) )
& ~ ( ( n1 = B )
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<=> ( ~ ( ( n0 = A )
& ( n1 = B ) )
& ~ ( ( n0 = A )
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& ~ ( ( n0 = A )
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& ~ ( ( n0 = B )
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& ~ ( ( n0 = B )
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& ~ ( ( n0 = B )
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& ~ ( ( n1 = A )
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& ~ ( ( n1 = A )
& ( n2 = B ) )
& ~ ( ( n1 = A )
& ( n3 = B ) )
& ~ ( ( n1 = A )
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& ~ ( ( n1 = A )
& ( n5 = B ) )
& ~ ( ( n1 = B )
& ( n2 = A ) )
& ~ ( ( n1 = B )
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& ~ ( ( n1 = B )
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& ~ ( ( n1 = B )
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( ( ~ ( ( n0 = A )
& ( n1 = B ) )
& ~ ( ( n0 = A )
& ( n2 = B ) )
& ~ ( ( n0 = A )
& ( n3 = B ) )
& ~ ( ( n0 = A )
& ( n4 = B ) )
& ~ ( ( n0 = A )
& ( n5 = B ) )
& ~ ( ( n0 = B )
& ( n1 = A ) )
& ~ ( ( n0 = B )
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& ~ ( ( n0 = B )
& ( n3 = A ) )
& ~ ( ( n0 = B )
& ( n4 = A ) )
& ~ ( ( n0 = B )
& ( n5 = A ) )
& ~ ( ( n1 = A )
& ( n1 = B ) )
& ~ ( ( n1 = A )
& ( n2 = B ) )
& ~ ( ( n1 = A )
& ( n3 = B ) )
& ~ ( ( n1 = A )
& ( n4 = B ) )
& ~ ( ( n1 = A )
& ( n5 = B ) )
& ~ ( ( n1 = B )
& ( n2 = A ) )
& ~ ( ( n1 = B )
& ( n3 = A ) )
& ~ ( ( n1 = B )
& ( n4 = A ) )
& ~ ( ( n1 = B )
& ( n5 = A ) )
& ~ ( ( n2 = A )
& ( n2 = B ) ) )
<=> ( ~ ( ( n0 = A )
& ( n1 = B ) )
& ~ ( ( n0 = A )
& ( n2 = B ) )
& ~ ( ( n0 = A )
& ( n3 = B ) )
& ~ ( ( n0 = A )
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& ~ ( ( n0 = A )
& ( n5 = B ) )
& ~ ( ( n0 = B )
& ( n1 = A ) )
& ~ ( ( n0 = B )
& ( n2 = A ) )
& ~ ( ( n0 = B )
& ( n3 = A ) )
& ~ ( ( n0 = B )
& ( n4 = A ) )
& ~ ( ( n0 = B )
& ( n5 = A ) )
& ~ ( ( n1 = A )
& ( n1 = B ) )
& ~ ( ( n1 = A )
& ( n2 = B ) )
& ~ ( ( n1 = A )
& ( n3 = B ) )
& ~ ( ( n1 = A )
& ( n4 = B ) )
& ~ ( ( n1 = A )
& ( n5 = B ) )
& ~ ( ( n1 = B )
& ( n2 = A ) )
& ~ ( ( n1 = B )
& ( n3 = A ) )
& ~ ( ( n1 = B )
& ( n4 = A ) )
& ~ ( ( n1 = B )
& ( n5 = A ) )
& ~ ( ( n2 = A )
& ( n2 = B ) ) ) )),
rewrite(( ( ~ ( ( n0 = A )
& ( n1 = B ) )
& ~ ( ( n0 = A )
& ( n2 = B ) )
& ~ ( ( n0 = A )
& ( n3 = B ) )
& ~ ( ( n0 = A )
& ( n4 = B ) )
& ~ ( ( n0 = A )
& ( n5 = B ) )
& ~ ( ( n0 = B )
& ( n1 = A ) )
& ~ ( ( n0 = B )
& ( n2 = A ) )
& ~ ( ( n0 = B )
& ( n3 = A ) )
& ~ ( ( n0 = B )
& ( n4 = A ) )
& ~ ( ( n0 = B )
& ( n5 = A ) )
& ~ ( ( n1 = A )
& ( n1 = B ) )
& ~ ( ( n1 = A )
& ( n2 = B ) )
& ~ ( ( n1 = A )
& ( n3 = B ) )
& ~ ( ( n1 = A )
& ( n4 = B ) )
& ~ ( ( n1 = A )
& ( n5 = B ) )
& ~ ( ( n1 = B )
& ( n2 = A ) )
& ~ ( ( n1 = B )
& ( n3 = A ) )
& ~ ( ( n1 = B )
& ( n4 = A ) )
& ~ ( ( n1 = B )
& ( n5 = A ) )
& ~ ( ( n2 = A )
& ( n2 = B ) ) )
<=> ( ~ ( ( n0 = A )
& ( n1 = B ) )
& ~ ( ( n0 = A )
& ( n2 = B ) )
& ~ ( ( n0 = A )
& ( n3 = B ) )
& ~ ( ( n0 = A )
& ( n4 = B ) )
& ~ ( ( n0 = A )
& ( n5 = B ) )
& ~ ( ( n0 = B )
& ( n1 = A ) )
& ~ ( ( n0 = B )
& ( n2 = A ) )
& ~ ( ( n0 = B )
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& ~ ( ( n0 = B )
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& ~ ( ( n0 = B )
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& ~ ( ( n1 = A )
& ( n1 = B ) )
& ~ ( ( n1 = A )
& ( n2 = B ) )
& ~ ( ( n1 = A )
& ( n3 = B ) )
& ~ ( ( n1 = A )
& ( n4 = B ) )
& ~ ( ( n1 = A )
& ( n5 = B ) )
& ~ ( ( n1 = B )
& ( n2 = A ) )
& ~ ( ( n1 = B )
& ( n3 = A ) )
& ~ ( ( n1 = B )
& ( n4 = A ) )
& ~ ( ( n1 = B )
& ( n5 = A ) )
& ~ ( ( n2 = A )
& ( n2 = B ) ) ) )),
( ( ~ ( ( n0 = A )
& ( n1 = B ) )
& ~ ( ( n0 = A )
& ( n2 = B ) )
& ~ ( ( n0 = A )
& ( n3 = B ) )
& ~ ( ( n0 = A )
& ( n4 = B ) )
& ~ ( ( n0 = A )
& ( n5 = B ) )
& ~ ( ( n0 = B )
& ( n1 = A ) )
& ~ ( ( n0 = B )
& ( n2 = A ) )
& ~ ( ( n0 = B )
& ( n3 = A ) )
& ~ ( ( n0 = B )
& ( n4 = A ) )
& ~ ( ( n0 = B )
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& ~ ( ( n1 = A )
& ( n1 = B ) )
& ~ ( ( n1 = A )
& ( n2 = B ) )
& ~ ( ( n1 = A )
& ( n3 = B ) )
& ~ ( ( n1 = A )
& ( n4 = B ) )
& ~ ( ( n1 = A )
& ( n5 = B ) )
& ~ ( ( n1 = B )
& ( n2 = A ) )
& ~ ( ( n1 = B )
& ( n3 = A ) )
& ~ ( ( n1 = B )
& ( n4 = A ) )
& ~ ( ( n1 = B )
& ( n5 = A ) )
& ~ ( ( n2 = A )
& ( n2 = B ) ) )
<=> ( ~ ( ( n0 = A )
& ( n1 = B ) )
& ~ ( ( n0 = A )
& ( n2 = B ) )
& ~ ( ( n0 = A )
& ( n3 = B ) )
& ~ ( ( n0 = A )
& ( n4 = B ) )
& ~ ( ( n0 = A )
& ( n5 = B ) )
& ~ ( ( n0 = B )
& ( n1 = A ) )
& ~ ( ( n0 = B )
& ( n2 = A ) )
& ~ ( ( n0 = B )
& ( n3 = A ) )
& ~ ( ( n0 = B )
& ( n4 = A ) )
& ~ ( ( n0 = B )
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& ~ ( ( n1 = A )
& ( n1 = B ) )
& ~ ( ( n1 = A )
& ( n2 = B ) )
& ~ ( ( n1 = A )
& ( n3 = B ) )
& ~ ( ( n1 = A )
& ( n4 = B ) )
& ~ ( ( n1 = A )
& ( n5 = B ) )
& ~ ( ( n1 = B )
& ( n2 = A ) )
& ~ ( ( n1 = B )
& ( n3 = A ) )
& ~ ( ( n1 = B )
& ( n4 = A ) )
& ~ ( ( n1 = B )
& ( n5 = A ) )
& ~ ( ( n2 = A )
& ( n2 = B ) ) ) )),
( ( ~ ( ( n0 = A )
& ( n1 = B ) )
& ~ ( ( n0 = A )
& ( n2 = B ) )
& ~ ( ( n0 = A )
& ( n3 = B ) )
& ~ ( ( n0 = A )
& ( n4 = B ) )
& ~ ( ( n0 = A )
& ( n5 = B ) )
& ~ ( ( n0 = B )
& ( n1 = A ) )
& ~ ( ( n0 = B )
& ( n2 = A ) )
& ~ ( ( n0 = B )
& ( n3 = A ) )
& ~ ( ( n0 = B )
& ( n4 = A ) )
& ~ ( ( n0 = B )
& ( n5 = A ) )
& ~ ( ( n1 = A )
& ( n1 = B ) )
& ~ ( ( n1 = A )
& ( n2 = B ) )
& ~ ( ( n1 = A )
& ( n3 = B ) )
& ~ ( ( n1 = A )
& ( n4 = B ) )
& ~ ( ( n1 = A )
& ( n5 = B ) )
& ~ ( ( n1 = B )
& ( n2 = A ) )
& ~ ( ( n1 = B )
& ( n3 = A ) )
& ~ ( ( n1 = B )
& ( n4 = A ) )
& ~ ( ( n1 = B )
& ( n5 = A ) )
& ~ ( ( n2 = A )
& ( n2 = B ) )
& ~ ( ( n2 = A )
& ( n3 = B ) ) )
<=> ( ~ ( ( n0 = A )
& ( n1 = B ) )
& ~ ( ( n0 = A )
& ( n2 = B ) )
& ~ ( ( n0 = A )
& ( n3 = B ) )
& ~ ( ( n0 = A )
& ( n4 = B ) )
& ~ ( ( n0 = A )
& ( n5 = B ) )
& ~ ( ( n0 = B )
& ( n1 = A ) )
& ~ ( ( n0 = B )
& ( n2 = A ) )
& ~ ( ( n0 = B )
& ( n3 = A ) )
& ~ ( ( n0 = B )
& ( n4 = A ) )
& ~ ( ( n0 = B )
& ( n5 = A ) )
& ~ ( ( n1 = A )
& ( n1 = B ) )
& ~ ( ( n1 = A )
& ( n2 = B ) )
& ~ ( ( n1 = A )
& ( n3 = B ) )
& ~ ( ( n1 = A )
& ( n4 = B ) )
& ~ ( ( n1 = A )
& ( n5 = B ) )
& ~ ( ( n1 = B )
& ( n2 = A ) )
& ~ ( ( n1 = B )
& ( n3 = A ) )
& ~ ( ( n1 = B )
& ( n4 = A ) )
& ~ ( ( n1 = B )
& ( n5 = A ) )
& ~ ( ( n2 = A )
& ( n2 = B ) )
& ~ ( ( n2 = A )
& ( n3 = B ) ) ) )),
rewrite(( ( ~ ( ( n0 = A )
& ( n1 = B ) )
& ~ ( ( n0 = A )
& ( n2 = B ) )
& ~ ( ( n0 = A )
& ( n3 = B ) )
& ~ ( ( n0 = A )
& ( n4 = B ) )
& ~ ( ( n0 = A )
& ( n5 = B ) )
& ~ ( ( n0 = B )
& ( n1 = A ) )
& ~ ( ( n0 = B )
& ( n2 = A ) )
& ~ ( ( n0 = B )
& ( n3 = A ) )
& ~ ( ( n0 = B )
& ( n4 = A ) )
& ~ ( ( n0 = B )
& ( n5 = A ) )
& ~ ( ( n1 = A )
& ( n1 = B ) )
& ~ ( ( n1 = A )
& ( n2 = B ) )
& ~ ( ( n1 = A )
& ( n3 = B ) )
& ~ ( ( n1 = A )
& ( n4 = B ) )
& ~ ( ( n1 = A )
& ( n5 = B ) )
& ~ ( ( n1 = B )
& ( n2 = A ) )
& ~ ( ( n1 = B )
& ( n3 = A ) )
& ~ ( ( n1 = B )
& ( n4 = A ) )
& ~ ( ( n1 = B )
& ( n5 = A ) )
& ~ ( ( n2 = A )
& ( n2 = B ) )
& ~ ( ( n2 = A )
& ( n3 = B ) ) )
<=> ( ~ ( ( n0 = A )
& ( n1 = B ) )
& ~ ( ( n0 = A )
& ( n2 = B ) )
& ~ ( ( n0 = A )
& ( n3 = B ) )
& ~ ( ( n0 = A )
& ( n4 = B ) )
& ~ ( ( n0 = A )
& ( n5 = B ) )
& ~ ( ( n0 = B )
& ( n1 = A ) )
& ~ ( ( n0 = B )
& ( n2 = A ) )
& ~ ( ( n0 = B )
& ( n3 = A ) )
& ~ ( ( n0 = B )
& ( n4 = A ) )
& ~ ( ( n0 = B )
& ( n5 = A ) )
& ~ ( ( n1 = A )
& ( n1 = B ) )
& ~ ( ( n1 = A )
& ( n2 = B ) )
& ~ ( ( n1 = A )
& ( n3 = B ) )
& ~ ( ( n1 = A )
& ( n4 = B ) )
& ~ ( ( n1 = A )
& ( n5 = B ) )
& ~ ( ( n1 = B )
& ( n2 = A ) )
& ~ ( ( n1 = B )
& ( n3 = A ) )
& ~ ( ( n1 = B )
& ( n4 = A ) )
& ~ ( ( n1 = B )
& ( n5 = A ) )
& ~ ( ( n2 = A )
& ( n2 = B ) )
& ~ ( ( n2 = A )
& ( n3 = B ) ) ) )),
( ( ~ ( ( n0 = A )
& ( n1 = B ) )
& ~ ( ( n0 = A )
& ( n2 = B ) )
& ~ ( ( n0 = A )
& ( n3 = B ) )
& ~ ( ( n0 = A )
& ( n4 = B ) )
& ~ ( ( n0 = A )
& ( n5 = B ) )
& ~ ( ( n0 = B )
& ( n1 = A ) )
& ~ ( ( n0 = B )
& ( n2 = A ) )
& ~ ( ( n0 = B )
& ( n3 = A ) )
& ~ ( ( n0 = B )
& ( n4 = A ) )
& ~ ( ( n0 = B )
& ( n5 = A ) )
& ~ ( ( n1 = A )
& ( n1 = B ) )
& ~ ( ( n1 = A )
& ( n2 = B ) )
& ~ ( ( n1 = A )
& ( n3 = B ) )
& ~ ( ( n1 = A )
& ( n4 = B ) )
& ~ ( ( n1 = A )
& ( n5 = B ) )
& ~ ( ( n1 = B )
& ( n2 = A ) )
& ~ ( ( n1 = B )
& ( n3 = A ) )
& ~ ( ( n1 = B )
& ( n4 = A ) )
& ~ ( ( n1 = B )
& ( n5 = A ) )
& ~ ( ( n2 = A )
& ( n2 = B ) )
& ~ ( ( n2 = A )
& ( n3 = B ) ) )
<=> ( ~ ( ( n0 = A )
& ( n1 = B ) )
& ~ ( ( n0 = A )
& ( n2 = B ) )
& ~ ( ( n0 = A )
& ( n3 = B ) )
& ~ ( ( n0 = A )
& ( n4 = B ) )
& ~ ( ( n0 = A )
& ( n5 = B ) )
& ~ ( ( n0 = B )
& ( n1 = A ) )
& ~ ( ( n0 = B )
& ( n2 = A ) )
& ~ ( ( n0 = B )
& ( n3 = A ) )
& ~ ( ( n0 = B )
& ( n4 = A ) )
& ~ ( ( n0 = B )
& ( n5 = A ) )
& ~ ( ( n1 = A )
& ( n1 = B ) )
& ~ ( ( n1 = A )
& ( n2 = B ) )
& ~ ( ( n1 = A )
& ( n3 = B ) )
& ~ ( ( n1 = A )
& ( n4 = B ) )
& ~ ( ( n1 = A )
& ( n5 = B ) )
& ~ ( ( n1 = B )
& ( n2 = A ) )
& ~ ( ( n1 = B )
& ( n3 = A ) )
& ~ ( ( n1 = B )
& ( n4 = A ) )
& ~ ( ( n1 = B )
& ( n5 = A ) )
& ~ ( ( n2 = A )
& ( n2 = B ) )
& ~ ( ( n2 = A )
& ( n3 = B ) ) ) )),
( ( ~ ( ( n0 = A )
& ( n1 = B ) )
& ~ ( ( n0 = A )
& ( n2 = B ) )
& ~ ( ( n0 = A )
& ( n3 = B ) )
& ~ ( ( n0 = A )
& ( n4 = B ) )
& ~ ( ( n0 = A )
& ( n5 = B ) )
& ~ ( ( n0 = B )
& ( n1 = A ) )
& ~ ( ( n0 = B )
& ( n2 = A ) )
& ~ ( ( n0 = B )
& ( n3 = A ) )
& ~ ( ( n0 = B )
& ( n4 = A ) )
& ~ ( ( n0 = B )
& ( n5 = A ) )
& ~ ( ( n1 = A )
& ( n1 = B ) )
& ~ ( ( n1 = A )
& ( n2 = B ) )
& ~ ( ( n1 = A )
& ( n3 = B ) )
& ~ ( ( n1 = A )
& ( n4 = B ) )
& ~ ( ( n1 = A )
& ( n5 = B ) )
& ~ ( ( n1 = B )
& ( n2 = A ) )
& ~ ( ( n1 = B )
& ( n3 = A ) )
& ~ ( ( n1 = B )
& ( n4 = A ) )
& ~ ( ( n1 = B )
& ( n5 = A ) )
& ~ ( ( n2 = A )
& ( n2 = B ) )
& ~ ( ( n2 = A )
& ( n3 = B ) )
& ~ ( ( n2 = A )
& ( n4 = B ) ) )
<=> ( ~ ( ( n0 = A )
& ( n1 = B ) )
& ~ ( ( n0 = A )
& ( n2 = B ) )
& ~ ( ( n0 = A )
& ( n3 = B ) )
& ~ ( ( n0 = A )
& ( n4 = B ) )
& ~ ( ( n0 = A )
& ( n5 = B ) )
& ~ ( ( n0 = B )
& ( n1 = A ) )
& ~ ( ( n0 = B )
& ( n2 = A ) )
& ~ ( ( n0 = B )
& ( n3 = A ) )
& ~ ( ( n0 = B )
& ( n4 = A ) )
& ~ ( ( n0 = B )
& ( n5 = A ) )
& ~ ( ( n1 = A )
& ( n1 = B ) )
& ~ ( ( n1 = A )
& ( n2 = B ) )
& ~ ( ( n1 = A )
& ( n3 = B ) )
& ~ ( ( n1 = A )
& ( n4 = B ) )
& ~ ( ( n1 = A )
& ( n5 = B ) )
& ~ ( ( n1 = B )
& ( n2 = A ) )
& ~ ( ( n1 = B )
& ( n3 = A ) )
& ~ ( ( n1 = B )
& ( n4 = A ) )
& ~ ( ( n1 = B )
& ( n5 = A ) )
& ~ ( ( n2 = A )
& ( n2 = B ) )
& ~ ( ( n2 = A )
& ( n3 = B ) )
& ~ ( ( n2 = A )
& ( n4 = B ) ) ) )),
rewrite(( ( ~ ( ( n0 = A )
& ( n1 = B ) )
& ~ ( ( n0 = A )
& ( n2 = B ) )
& ~ ( ( n0 = A )
& ( n3 = B ) )
& ~ ( ( n0 = A )
& ( n4 = B ) )
& ~ ( ( n0 = A )
& ( n5 = B ) )
& ~ ( ( n0 = B )
& ( n1 = A ) )
& ~ ( ( n0 = B )
& ( n2 = A ) )
& ~ ( ( n0 = B )
& ( n3 = A ) )
& ~ ( ( n0 = B )
& ( n4 = A ) )
& ~ ( ( n0 = B )
& ( n5 = A ) )
& ~ ( ( n1 = A )
& ( n1 = B ) )
& ~ ( ( n1 = A )
& ( n2 = B ) )
& ~ ( ( n1 = A )
& ( n3 = B ) )
& ~ ( ( n1 = A )
& ( n4 = B ) )
& ~ ( ( n1 = A )
& ( n5 = B ) )
& ~ ( ( n1 = B )
& ( n2 = A ) )
& ~ ( ( n1 = B )
& ( n3 = A ) )
& ~ ( ( n1 = B )
& ( n4 = A ) )
& ~ ( ( n1 = B )
& ( n5 = A ) )
& ~ ( ( n2 = A )
& ( n2 = B ) )
& ~ ( ( n2 = A )
& ( n3 = B ) )
& ~ ( ( n2 = A )
& ( n4 = B ) ) )
<=> ( ~ ( ( n0 = A )
& ( n1 = B ) )
& ~ ( ( n0 = A )
& ( n2 = B ) )
& ~ ( ( n0 = A )
& ( n3 = B ) )
& ~ ( ( n0 = A )
& ( n4 = B ) )
& ~ ( ( n0 = A )
& ( n5 = B ) )
& ~ ( ( n0 = B )
& ( n1 = A ) )
& ~ ( ( n0 = B )
& ( n2 = A ) )
& ~ ( ( n0 = B )
& ( n3 = A ) )
& ~ ( ( n0 = B )
& ( n4 = A ) )
& ~ ( ( n0 = B )
& ( n5 = A ) )
& ~ ( ( n1 = A )
& ( n1 = B ) )
& ~ ( ( n1 = A )
& ( n2 = B ) )
& ~ ( ( n1 = A )
& ( n3 = B ) )
& ~ ( ( n1 = A )
& ( n4 = B ) )
& ~ ( ( n1 = A )
& ( n5 = B ) )
& ~ ( ( n1 = B )
& ( n2 = A ) )
& ~ ( ( n1 = B )
& ( n3 = A ) )
& ~ ( ( n1 = B )
& ( n4 = A ) )
& ~ ( ( n1 = B )
& ( n5 = A ) )
& ~ ( ( n2 = A )
& ( n2 = B ) )
& ~ ( ( n2 = A )
& ( n3 = B ) )
& ~ ( ( n2 = A )
& ( n4 = B ) ) ) )),
( ( ~ ( ( n0 = A )
& ( n1 = B ) )
& ~ ( ( n0 = A )
& ( n2 = B ) )
& ~ ( ( n0 = A )
& ( n3 = B ) )
& ~ ( ( n0 = A )
& ( n4 = B ) )
& ~ ( ( n0 = A )
& ( n5 = B ) )
& ~ ( ( n0 = B )
& ( n1 = A ) )
& ~ ( ( n0 = B )
& ( n2 = A ) )
& ~ ( ( n0 = B )
& ( n3 = A ) )
& ~ ( ( n0 = B )
& ( n4 = A ) )
& ~ ( ( n0 = B )
& ( n5 = A ) )
& ~ ( ( n1 = A )
& ( n1 = B ) )
& ~ ( ( n1 = A )
& ( n2 = B ) )
& ~ ( ( n1 = A )
& ( n3 = B ) )
& ~ ( ( n1 = A )
& ( n4 = B ) )
& ~ ( ( n1 = A )
& ( n5 = B ) )
& ~ ( ( n1 = B )
& ( n2 = A ) )
& ~ ( ( n1 = B )
& ( n3 = A ) )
& ~ ( ( n1 = B )
& ( n4 = A ) )
& ~ ( ( n1 = B )
& ( n5 = A ) )
& ~ ( ( n2 = A )
& ( n2 = B ) )
& ~ ( ( n2 = A )
& ( n3 = B ) )
& ~ ( ( n2 = A )
& ( n4 = B ) ) )
<=> ( ~ ( ( n0 = A )
& ( n1 = B ) )
& ~ ( ( n0 = A )
& ( n2 = B ) )
& ~ ( ( n0 = A )
& ( n3 = B ) )
& ~ ( ( n0 = A )
& ( n4 = B ) )
& ~ ( ( n0 = A )
& ( n5 = B ) )
& ~ ( ( n0 = B )
& ( n1 = A ) )
& ~ ( ( n0 = B )
& ( n2 = A ) )
& ~ ( ( n0 = B )
& ( n3 = A ) )
& ~ ( ( n0 = B )
& ( n4 = A ) )
& ~ ( ( n0 = B )
& ( n5 = A ) )
& ~ ( ( n1 = A )
& ( n1 = B ) )
& ~ ( ( n1 = A )
& ( n2 = B ) )
& ~ ( ( n1 = A )
& ( n3 = B ) )
& ~ ( ( n1 = A )
& ( n4 = B ) )
& ~ ( ( n1 = A )
& ( n5 = B ) )
& ~ ( ( n1 = B )
& ( n2 = A ) )
& ~ ( ( n1 = B )
& ( n3 = A ) )
& ~ ( ( n1 = B )
& ( n4 = A ) )
& ~ ( ( n1 = B )
& ( n5 = A ) )
& ~ ( ( n2 = A )
& ( n2 = B ) )
& ~ ( ( n2 = A )
& ( n3 = B ) )
& ~ ( ( n2 = A )
& ( n4 = B ) ) ) )),
( ( ~ ( ( n0 = A )
& ( n1 = B ) )
& ~ ( ( n0 = A )
& ( n2 = B ) )
& ~ ( ( n0 = A )
& ( n3 = B ) )
& ~ ( ( n0 = A )
& ( n4 = B ) )
& ~ ( ( n0 = A )
& ( n5 = B ) )
& ~ ( ( n0 = B )
& ( n1 = A ) )
& ~ ( ( n0 = B )
& ( n2 = A ) )
& ~ ( ( n0 = B )
& ( n3 = A ) )
& ~ ( ( n0 = B )
& ( n4 = A ) )
& ~ ( ( n0 = B )
& ( n5 = A ) )
& ~ ( ( n1 = A )
& ( n1 = B ) )
& ~ ( ( n1 = A )
& ( n2 = B ) )
& ~ ( ( n1 = A )
& ( n3 = B ) )
& ~ ( ( n1 = A )
& ( n4 = B ) )
& ~ ( ( n1 = A )
& ( n5 = B ) )
& ~ ( ( n1 = B )
& ( n2 = A ) )
& ~ ( ( n1 = B )
& ( n3 = A ) )
& ~ ( ( n1 = B )
& ( n4 = A ) )
& ~ ( ( n1 = B )
& ( n5 = A ) )
& ~ ( ( n2 = A )
& ( n2 = B ) )
& ~ ( ( n2 = A )
& ( n3 = B ) )
& ~ ( ( n2 = A )
& ( n4 = B ) )
& ~ ( ( n2 = A )
& ( n5 = B ) ) )
<=> ( ~ ( ( n0 = A )
& ( n1 = B ) )
& ~ ( ( n0 = A )
& ( n2 = B ) )
& ~ ( ( n0 = A )
& ( n3 = B ) )
& ~ ( ( n0 = A )
& ( n4 = B ) )
& ~ ( ( n0 = A )
& ( n5 = B ) )
& ~ ( ( n0 = B )
& ( n1 = A ) )
& ~ ( ( n0 = B )
& ( n2 = A ) )
& ~ ( ( n0 = B )
& ( n3 = A ) )
& ~ ( ( n0 = B )
& ( n4 = A ) )
& ~ ( ( n0 = B )
& ( n5 = A ) )
& ~ ( ( n1 = A )
& ( n1 = B ) )
& ~ ( ( n1 = A )
& ( n2 = B ) )
& ~ ( ( n1 = A )
& ( n3 = B ) )
& ~ ( ( n1 = A )
& ( n4 = B ) )
& ~ ( ( n1 = A )
& ( n5 = B ) )
& ~ ( ( n1 = B )
& ( n2 = A ) )
& ~ ( ( n1 = B )
& ( n3 = A ) )
& ~ ( ( n1 = B )
& ( n4 = A ) )
& ~ ( ( n1 = B )
& ( n5 = A ) )
& ~ ( ( n2 = A )
& ( n2 = B ) )
& ~ ( ( n2 = A )
& ( n3 = B ) )
& ~ ( ( n2 = A )
& ( n4 = B ) )
& ~ ( ( n2 = A )
& ( n5 = B ) ) ) )),
rewrite(( ( ~ ( ( n0 = A )
& ( n1 = B ) )
& ~ ( ( n0 = A )
& ( n2 = B ) )
& ~ ( ( n0 = A )
& ( n3 = B ) )
& ~ ( ( n0 = A )
& ( n4 = B ) )
& ~ ( ( n0 = A )
& ( n5 = B ) )
& ~ ( ( n0 = B )
& ( n1 = A ) )
& ~ ( ( n0 = B )
& ( n2 = A ) )
& ~ ( ( n0 = B )
& ( n3 = A ) )
& ~ ( ( n0 = B )
& ( n4 = A ) )
& ~ ( ( n0 = B )
& ( n5 = A ) )
& ~ ( ( n1 = A )
& ( n1 = B ) )
& ~ ( ( n1 = A )
& ( n2 = B ) )
& ~ ( ( n1 = A )
& ( n3 = B ) )
& ~ ( ( n1 = A )
& ( n4 = B ) )
& ~ ( ( n1 = A )
& ( n5 = B ) )
& ~ ( ( n1 = B )
& ( n2 = A ) )
& ~ ( ( n1 = B )
& ( n3 = A ) )
& ~ ( ( n1 = B )
& ( n4 = A ) )
& ~ ( ( n1 = B )
& ( n5 = A ) )
& ~ ( ( n2 = A )
& ( n2 = B ) )
& ~ ( ( n2 = A )
& ( n3 = B ) )
& ~ ( ( n2 = A )
& ( n4 = B ) )
& ~ ( ( n2 = A )
& ( n5 = B ) ) )
<=> ( ~ ( ( n0 = A )
& ( n1 = B ) )
& ~ ( ( n0 = A )
& ( n2 = B ) )
& ~ ( ( n0 = A )
& ( n3 = B ) )
& ~ ( ( n0 = A )
& ( n4 = B ) )
& ~ ( ( n0 = A )
& ( n5 = B ) )
& ~ ( ( n0 = B )
& ( n1 = A ) )
& ~ ( ( n0 = B )
& ( n2 = A ) )
& ~ ( ( n0 = B )
& ( n3 = A ) )
& ~ ( ( n0 = B )
& ( n4 = A ) )
& ~ ( ( n0 = B )
& ( n5 = A ) )
& ~ ( ( n1 = A )
& ( n1 = B ) )
& ~ ( ( n1 = A )
& ( n2 = B ) )
& ~ ( ( n1 = A )
& ( n3 = B ) )
& ~ ( ( n1 = A )
& ( n4 = B ) )
& ~ ( ( n1 = A )
& ( n5 = B ) )
& ~ ( ( n1 = B )
& ( n2 = A ) )
& ~ ( ( n1 = B )
& ( n3 = A ) )
& ~ ( ( n1 = B )
& ( n4 = A ) )
& ~ ( ( n1 = B )
& ( n5 = A ) )
& ~ ( ( n2 = A )
& ( n2 = B ) )
& ~ ( ( n2 = A )
& ( n3 = B ) )
& ~ ( ( n2 = A )
& ( n4 = B ) )
& ~ ( ( n2 = A )
& ( n5 = B ) ) ) )),
( ( ~ ( ( n0 = A )
& ( n1 = B ) )
& ~ ( ( n0 = A )
& ( n2 = B ) )
& ~ ( ( n0 = A )
& ( n3 = B ) )
& ~ ( ( n0 = A )
& ( n4 = B ) )
& ~ ( ( n0 = A )
& ( n5 = B ) )
& ~ ( ( n0 = B )
& ( n1 = A ) )
& ~ ( ( n0 = B )
& ( n2 = A ) )
& ~ ( ( n0 = B )
& ( n3 = A ) )
& ~ ( ( n0 = B )
& ( n4 = A ) )
& ~ ( ( n0 = B )
& ( n5 = A ) )
& ~ ( ( n1 = A )
& ( n1 = B ) )
& ~ ( ( n1 = A )
& ( n2 = B ) )
& ~ ( ( n1 = A )
& ( n3 = B ) )
& ~ ( ( n1 = A )
& ( n4 = B ) )
& ~ ( ( n1 = A )
& ( n5 = B ) )
& ~ ( ( n1 = B )
& ( n2 = A ) )
& ~ ( ( n1 = B )
& ( n3 = A ) )
& ~ ( ( n1 = B )
& ( n4 = A ) )
& ~ ( ( n1 = B )
& ( n5 = A ) )
& ~ ( ( n2 = A )
& ( n2 = B ) )
& ~ ( ( n2 = A )
& ( n3 = B ) )
& ~ ( ( n2 = A )
& ( n4 = B ) )
& ~ ( ( n2 = A )
& ( n5 = B ) ) )
<=> ( ~ ( ( n0 = A )
& ( n1 = B ) )
& ~ ( ( n0 = A )
& ( n2 = B ) )
& ~ ( ( n0 = A )
& ( n3 = B ) )
& ~ ( ( n0 = A )
& ( n4 = B ) )
& ~ ( ( n0 = A )
& ( n5 = B ) )
& ~ ( ( n0 = B )
& ( n1 = A ) )
& ~ ( ( n0 = B )
& ( n2 = A ) )
& ~ ( ( n0 = B )
& ( n3 = A ) )
& ~ ( ( n0 = B )
& ( n4 = A ) )
& ~ ( ( n0 = B )
& ( n5 = A ) )
& ~ ( ( n1 = A )
& ( n1 = B ) )
& ~ ( ( n1 = A )
& ( n2 = B ) )
& ~ ( ( n1 = A )
& ( n3 = B ) )
& ~ ( ( n1 = A )
& ( n4 = B ) )
& ~ ( ( n1 = A )
& ( n5 = B ) )
& ~ ( ( n1 = B )
& ( n2 = A ) )
& ~ ( ( n1 = B )
& ( n3 = A ) )
& ~ ( ( n1 = B )
& ( n4 = A ) )
& ~ ( ( n1 = B )
& ( n5 = A ) )
& ~ ( ( n2 = A )
& ( n2 = B ) )
& ~ ( ( n2 = A )
& ( n3 = B ) )
& ~ ( ( n2 = A )
& ( n4 = B ) )
& ~ ( ( n2 = A )
& ( n5 = B ) ) ) )),
( ( ~ ( ( n0 = A )
& ( n1 = B ) )
& ~ ( ( n0 = A )
& ( n2 = B ) )
& ~ ( ( n0 = A )
& ( n3 = B ) )
& ~ ( ( n0 = A )
& ( n4 = B ) )
& ~ ( ( n0 = A )
& ( n5 = B ) )
& ~ ( ( n0 = B )
& ( n1 = A ) )
& ~ ( ( n0 = B )
& ( n2 = A ) )
& ~ ( ( n0 = B )
& ( n3 = A ) )
& ~ ( ( n0 = B )
& ( n4 = A ) )
& ~ ( ( n0 = B )
& ( n5 = A ) )
& ~ ( ( n1 = A )
& ( n1 = B ) )
& ~ ( ( n1 = A )
& ( n2 = B ) )
& ~ ( ( n1 = A )
& ( n3 = B ) )
& ~ ( ( n1 = A )
& ( n4 = B ) )
& ~ ( ( n1 = A )
& ( n5 = B ) )
& ~ ( ( n1 = B )
& ( n2 = A ) )
& ~ ( ( n1 = B )
& ( n3 = A ) )
& ~ ( ( n1 = B )
& ( n4 = A ) )
& ~ ( ( n1 = B )
& ( n5 = A ) )
& ~ ( ( n2 = A )
& ( n2 = B ) )
& ~ ( ( n2 = A )
& ( n3 = B ) )
& ~ ( ( n2 = A )
& ( n4 = B ) )
& ~ ( ( n2 = A )
& ( n5 = B ) )
& ~ ( ( n2 = B )
& ( n3 = A ) ) )
<=> ( ~ ( ( n0 = A )
& ( n1 = B ) )
& ~ ( ( n0 = A )
& ( n2 = B ) )
& ~ ( ( n0 = A )
& ( n3 = B ) )
& ~ ( ( n0 = A )
& ( n4 = B ) )
& ~ ( ( n0 = A )
& ( n5 = B ) )
& ~ ( ( n0 = B )
& ( n1 = A ) )
& ~ ( ( n0 = B )
& ( n2 = A ) )
& ~ ( ( n0 = B )
& ( n3 = A ) )
& ~ ( ( n0 = B )
& ( n4 = A ) )
& ~ ( ( n0 = B )
& ( n5 = A ) )
& ~ ( ( n1 = A )
& ( n1 = B ) )
& ~ ( ( n1 = A )
& ( n2 = B ) )
& ~ ( ( n1 = A )
& ( n3 = B ) )
& ~ ( ( n1 = A )
& ( n4 = B ) )
& ~ ( ( n1 = A )
& ( n5 = B ) )
& ~ ( ( n1 = B )
& ( n2 = A ) )
& ~ ( ( n1 = B )
& ( n3 = A ) )
& ~ ( ( n1 = B )
& ( n4 = A ) )
& ~ ( ( n1 = B )
& ( n5 = A ) )
& ~ ( ( n2 = A )
& ( n2 = B ) )
& ~ ( ( n2 = A )
& ( n3 = B ) )
& ~ ( ( n2 = A )
& ( n4 = B ) )
& ~ ( ( n2 = A )
& ( n5 = B ) )
& ~ ( ( n2 = B )
& ( n3 = A ) ) ) )),
rewrite(( ( ~ ( ( n0 = A )
& ( n1 = B ) )
& ~ ( ( n0 = A )
& ( n2 = B ) )
& ~ ( ( n0 = A )
& ( n3 = B ) )
& ~ ( ( n0 = A )
& ( n4 = B ) )
& ~ ( ( n0 = A )
& ( n5 = B ) )
& ~ ( ( n0 = B )
& ( n1 = A ) )
& ~ ( ( n0 = B )
& ( n2 = A ) )
& ~ ( ( n0 = B )
& ( n3 = A ) )
& ~ ( ( n0 = B )
& ( n4 = A ) )
& ~ ( ( n0 = B )
& ( n5 = A ) )
& ~ ( ( n1 = A )
& ( n1 = B ) )
& ~ ( ( n1 = A )
& ( n2 = B ) )
& ~ ( ( n1 = A )
& ( n3 = B ) )
& ~ ( ( n1 = A )
& ( n4 = B ) )
& ~ ( ( n1 = A )
& ( n5 = B ) )
& ~ ( ( n1 = B )
& ( n2 = A ) )
& ~ ( ( n1 = B )
& ( n3 = A ) )
& ~ ( ( n1 = B )
& ( n4 = A ) )
& ~ ( ( n1 = B )
& ( n5 = A ) )
& ~ ( ( n2 = A )
& ( n2 = B ) )
& ~ ( ( n2 = A )
& ( n3 = B ) )
& ~ ( ( n2 = A )
& ( n4 = B ) )
& ~ ( ( n2 = A )
& ( n5 = B ) )
& ~ ( ( n2 = B )
& ( n3 = A ) ) )
<=> ( ~ ( ( n0 = A )
& ( n1 = B ) )
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& ~ ( ( n0 = A )
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( ( ~ ( ( n0 = A )
& ( n1 = B ) )
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<=> ( ~ ( ( n0 = A )
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( ( ~ ( ( n0 = A )
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<=> ( ~ ( ( n0 = A )
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rewrite(( ( ~ ( ( n0 = A )
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<=> ( ~ ( ( n0 = A )
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<=> ( ~ ( ( n0 = A )
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rewrite(( ( ~ ( ( n0 = A )
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<=> ( ~ ( ( n0 = A )
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& ~ ( ( n0 = B )
& ( n5 = A ) )
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& ( n1 = B ) )
& ~ ( ( n1 = A )
& ( n2 = B ) )
& ~ ( ( n1 = A )
& ( n3 = B ) )
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& ( n4 = B ) )
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& ( n5 = B ) )
& ~ ( ( n1 = B )
& ( n2 = A ) )
& ~ ( ( n1 = B )
& ( n3 = A ) )
& ~ ( ( n1 = B )
& ( n4 = A ) )
& ~ ( ( n1 = B )
& ( n5 = A ) )
& ~ ( ( n2 = A )
& ( n2 = B ) )
& ~ ( ( n2 = A )
& ( n3 = B ) )
& ~ ( ( n2 = A )
& ( n4 = B ) )
& ~ ( ( n2 = A )
& ( n5 = B ) )
& ~ ( ( n2 = B )
& ( n3 = A ) )
& ~ ( ( n2 = B )
& ( n4 = A ) )
& ~ ( ( n2 = B )
& ( n5 = A ) )
& ~ ( ( n3 = A )
& ( n3 = B ) ) )
<=> ( ~ ( ( n0 = A )
& ( n1 = B ) )
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& ( n3 = B ) )
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& ~ ( ( n1 = A )
& ( n1 = B ) )
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& ( n2 = B ) )
& ~ ( ( n1 = A )
& ( n3 = B ) )
& ~ ( ( n1 = A )
& ( n4 = B ) )
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& ( n5 = B ) )
& ~ ( ( n1 = B )
& ( n2 = A ) )
& ~ ( ( n1 = B )
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& ( n5 = A ) )
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& ( n2 = B ) )
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& ( n3 = B ) )
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& ( n4 = B ) )
& ~ ( ( n2 = A )
& ( n5 = B ) )
& ~ ( ( n2 = B )
& ( n3 = A ) )
& ~ ( ( n2 = B )
& ( n4 = A ) )
& ~ ( ( n2 = B )
& ( n5 = A ) )
& ~ ( ( n3 = A )
& ( n3 = B ) ) ) )),
rewrite(( ( ~ ( ( n0 = A )
& ( n1 = B ) )
& ~ ( ( n0 = A )
& ( n2 = B ) )
& ~ ( ( n0 = A )
& ( n3 = B ) )
& ~ ( ( n0 = A )
& ( n4 = B ) )
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& ( n1 = B ) )
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& ( n2 = B ) )
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& ( n3 = B ) )
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& ( n4 = B ) )
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& ( n5 = B ) )
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& ( n2 = A ) )
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& ( n3 = A ) )
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& ( n4 = A ) )
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& ( n5 = A ) )
& ~ ( ( n2 = A )
& ( n2 = B ) )
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& ( n3 = B ) )
& ~ ( ( n2 = A )
& ( n4 = B ) )
& ~ ( ( n2 = A )
& ( n5 = B ) )
& ~ ( ( n2 = B )
& ( n3 = A ) )
& ~ ( ( n2 = B )
& ( n4 = A ) )
& ~ ( ( n2 = B )
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<=> ( ~ ( ( n0 = A )
& ( n1 = B ) )
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& ( n3 = B ) )
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& ( n1 = A ) )
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& ( n2 = B ) )
& ~ ( ( n1 = A )
& ( n3 = B ) )
& ~ ( ( n1 = A )
& ( n4 = B ) )
& ~ ( ( n1 = A )
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& ~ ( ( n1 = B )
& ( n2 = A ) )
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& ( n4 = A ) )
& ~ ( ( n1 = B )
& ( n5 = A ) )
& ~ ( ( n2 = A )
& ( n2 = B ) )
& ~ ( ( n2 = A )
& ( n3 = B ) )
& ~ ( ( n2 = A )
& ( n4 = B ) )
& ~ ( ( n2 = A )
& ( n5 = B ) )
& ~ ( ( n2 = B )
& ( n3 = A ) )
& ~ ( ( n2 = B )
& ( n4 = A ) )
& ~ ( ( n2 = B )
& ( n5 = A ) )
& ~ ( ( n3 = A )
& ( n3 = B ) ) ) )),
( ( ~ ( ( n0 = A )
& ( n1 = B ) )
& ~ ( ( n0 = A )
& ( n2 = B ) )
& ~ ( ( n0 = A )
& ( n3 = B ) )
& ~ ( ( n0 = A )
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& ~ ( ( n0 = A )
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& ~ ( ( n0 = B )
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& ~ ( ( n0 = B )
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& ( n5 = A ) )
& ~ ( ( n1 = A )
& ( n1 = B ) )
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& ~ ( ( n1 = A )
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& ( n4 = B ) )
& ~ ( ( n1 = A )
& ( n5 = B ) )
& ~ ( ( n1 = B )
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& ( n3 = A ) )
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& ( n4 = A ) )
& ~ ( ( n1 = B )
& ( n5 = A ) )
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& ( n2 = B ) )
& ~ ( ( n2 = A )
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& ~ ( ( n2 = A )
& ( n4 = B ) )
& ~ ( ( n2 = A )
& ( n5 = B ) )
& ~ ( ( n2 = B )
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<=> ( ~ ( ( n0 = A )
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& ~ ( ( n1 = A )
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& ~ ( ( n1 = A )
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& ~ ( ( n1 = B )
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& ~ ( ( n1 = B )
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& ~ ( ( n2 = A )
& ( n2 = B ) )
& ~ ( ( n2 = A )
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& ~ ( ( n2 = A )
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& ~ ( ( n2 = A )
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& ~ ( ( n2 = B )
& ( n3 = A ) )
& ~ ( ( n2 = B )
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& ( n3 = B ) ) ) )),
( ( ~ ( ( n0 = A )
& ( n1 = B ) )
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& ~ ( ( n0 = A )
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& ~ ( ( n1 = A )
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& ~ ( ( n1 = A )
& ( n5 = B ) )
& ~ ( ( n1 = B )
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& ( n3 = A ) )
& ~ ( ( n1 = B )
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& ~ ( ( n1 = B )
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& ~ ( ( n2 = A )
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& ~ ( ( n2 = A )
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& ~ ( ( n2 = A )
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& ~ ( ( n2 = B )
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& ~ ( ( n2 = B )
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& ~ ( ( n3 = A )
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& ~ ( ( n3 = A )
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<=> ( ~ ( ( n0 = A )
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& ~ ( ( n0 = A )
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& ~ ( ( n0 = A )
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& ~ ( ( n0 = B )
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& ~ ( ( n0 = B )
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& ~ ( ( n0 = B )
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& ~ ( ( n0 = B )
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& ~ ( ( n1 = A )
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& ~ ( ( n1 = A )
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& ~ ( ( n1 = A )
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& ~ ( ( n1 = A )
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& ~ ( ( n1 = A )
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& ~ ( ( n1 = B )
& ( n2 = A ) )
& ~ ( ( n1 = B )
& ( n3 = A ) )
& ~ ( ( n1 = B )
& ( n4 = A ) )
& ~ ( ( n1 = B )
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& ~ ( ( n2 = A )
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& ~ ( ( n2 = A )
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& ~ ( ( n2 = A )
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& ~ ( ( n2 = A )
& ( n5 = B ) )
& ~ ( ( n2 = B )
& ( n3 = A ) )
& ~ ( ( n2 = B )
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& ~ ( ( n2 = B )
& ( n5 = A ) )
& ~ ( ( n3 = A )
& ( n3 = B ) )
& ~ ( ( n3 = A )
& ( n4 = B ) ) ) )),
rewrite(( ( ~ ( ( n0 = A )
& ( n1 = B ) )
& ~ ( ( n0 = A )
& ( n2 = B ) )
& ~ ( ( n0 = A )
& ( n3 = B ) )
& ~ ( ( n0 = A )
& ( n4 = B ) )
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& ( n5 = B ) )
& ~ ( ( n0 = B )
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& ~ ( ( n0 = B )
& ( n2 = A ) )
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& ( n2 = B ) )
& ~ ( ( n1 = A )
& ( n3 = B ) )
& ~ ( ( n1 = A )
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& ~ ( ( n1 = A )
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& ~ ( ( n2 = A )
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& ~ ( ( n2 = A )
& ( n5 = B ) )
& ~ ( ( n2 = B )
& ( n3 = A ) )
& ~ ( ( n2 = B )
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& ~ ( ( n2 = B )
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& ~ ( ( n3 = A )
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<=> ( ~ ( ( n0 = A )
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& ~ ( ( n0 = A )
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& ~ ( ( n0 = A )
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& ~ ( ( n0 = A )
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& ~ ( ( n0 = A )
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& ~ ( ( n0 = B )
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& ~ ( ( n0 = B )
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& ~ ( ( n0 = B )
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& ~ ( ( n0 = B )
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& ~ ( ( n0 = B )
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& ~ ( ( n1 = A )
& ( n1 = B ) )
& ~ ( ( n1 = A )
& ( n2 = B ) )
& ~ ( ( n1 = A )
& ( n3 = B ) )
& ~ ( ( n1 = A )
& ( n4 = B ) )
& ~ ( ( n1 = A )
& ( n5 = B ) )
& ~ ( ( n1 = B )
& ( n2 = A ) )
& ~ ( ( n1 = B )
& ( n3 = A ) )
& ~ ( ( n1 = B )
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& ~ ( ( n1 = B )
& ( n5 = A ) )
& ~ ( ( n2 = A )
& ( n2 = B ) )
& ~ ( ( n2 = A )
& ( n3 = B ) )
& ~ ( ( n2 = A )
& ( n4 = B ) )
& ~ ( ( n2 = A )
& ( n5 = B ) )
& ~ ( ( n2 = B )
& ( n3 = A ) )
& ~ ( ( n2 = B )
& ( n4 = A ) )
& ~ ( ( n2 = B )
& ( n5 = A ) )
& ~ ( ( n3 = A )
& ( n3 = B ) )
& ~ ( ( n3 = A )
& ( n4 = B ) ) ) )),
( ( ~ ( ( n0 = A )
& ( n1 = B ) )
& ~ ( ( n0 = A )
& ( n2 = B ) )
& ~ ( ( n0 = A )
& ( n3 = B ) )
& ~ ( ( n0 = A )
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& ~ ( ( n0 = A )
& ( n5 = B ) )
& ~ ( ( n0 = B )
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& ~ ( ( n0 = B )
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& ~ ( ( n0 = B )
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& ~ ( ( n0 = B )
& ( n4 = A ) )
& ~ ( ( n0 = B )
& ( n5 = A ) )
& ~ ( ( n1 = A )
& ( n1 = B ) )
& ~ ( ( n1 = A )
& ( n2 = B ) )
& ~ ( ( n1 = A )
& ( n3 = B ) )
& ~ ( ( n1 = A )
& ( n4 = B ) )
& ~ ( ( n1 = A )
& ( n5 = B ) )
& ~ ( ( n1 = B )
& ( n2 = A ) )
& ~ ( ( n1 = B )
& ( n3 = A ) )
& ~ ( ( n1 = B )
& ( n4 = A ) )
& ~ ( ( n1 = B )
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& ~ ( ( n2 = A )
& ( n2 = B ) )
& ~ ( ( n2 = A )
& ( n3 = B ) )
& ~ ( ( n2 = A )
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& ~ ( ( n2 = A )
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& ~ ( ( n2 = B )
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& ( n5 = A ) )
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& ( n3 = B ) )
& ~ ( ( n3 = A )
& ( n4 = B ) ) )
<=> ( ~ ( ( n0 = A )
& ( n1 = B ) )
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& ~ ( ( n0 = A )
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& ~ ( ( n0 = B )
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& ~ ( ( n0 = B )
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& ~ ( ( n0 = B )
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& ~ ( ( n0 = B )
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& ~ ( ( n1 = A )
& ( n1 = B ) )
& ~ ( ( n1 = A )
& ( n2 = B ) )
& ~ ( ( n1 = A )
& ( n3 = B ) )
& ~ ( ( n1 = A )
& ( n4 = B ) )
& ~ ( ( n1 = A )
& ( n5 = B ) )
& ~ ( ( n1 = B )
& ( n2 = A ) )
& ~ ( ( n1 = B )
& ( n3 = A ) )
& ~ ( ( n1 = B )
& ( n4 = A ) )
& ~ ( ( n1 = B )
& ( n5 = A ) )
& ~ ( ( n2 = A )
& ( n2 = B ) )
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& ( n3 = B ) )
& ~ ( ( n2 = A )
& ( n4 = B ) )
& ~ ( ( n2 = A )
& ( n5 = B ) )
& ~ ( ( n2 = B )
& ( n3 = A ) )
& ~ ( ( n2 = B )
& ( n4 = A ) )
& ~ ( ( n2 = B )
& ( n5 = A ) )
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& ( n3 = B ) )
& ~ ( ( n3 = A )
& ( n4 = B ) ) ) )),
( ( ~ ( ( n0 = A )
& ( n1 = B ) )
& ~ ( ( n0 = A )
& ( n2 = B ) )
& ~ ( ( n0 = A )
& ( n3 = B ) )
& ~ ( ( n0 = A )
& ( n4 = B ) )
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& ( n5 = B ) )
& ~ ( ( n0 = B )
& ( n1 = A ) )
& ~ ( ( n0 = B )
& ( n2 = A ) )
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& ( n3 = A ) )
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& ( n4 = A ) )
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& ~ ( ( n1 = A )
& ( n1 = B ) )
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& ( n2 = B ) )
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& ( n3 = B ) )
& ~ ( ( n1 = A )
& ( n4 = B ) )
& ~ ( ( n1 = A )
& ( n5 = B ) )
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& ( n2 = A ) )
& ~ ( ( n1 = B )
& ( n3 = A ) )
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& ( n4 = A ) )
& ~ ( ( n1 = B )
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& ( n2 = B ) )
& ~ ( ( n2 = A )
& ( n3 = B ) )
& ~ ( ( n2 = A )
& ( n4 = B ) )
& ~ ( ( n2 = A )
& ( n5 = B ) )
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& ( n3 = A ) )
& ~ ( ( n2 = B )
& ( n4 = A ) )
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& ( n5 = A ) )
& ~ ( ( n3 = A )
& ( n3 = B ) )
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<=> ( ~ ( ( n0 = A )
& ( n1 = B ) )
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& ~ ( ( n0 = B )
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& ~ ( ( n1 = A )
& ( n1 = B ) )
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& ( n3 = B ) )
& ~ ( ( n1 = A )
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& ~ ( ( n1 = A )
& ( n5 = B ) )
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& ( n4 = A ) )
& ~ ( ( n1 = B )
& ( n5 = A ) )
& ~ ( ( n2 = A )
& ( n2 = B ) )
& ~ ( ( n2 = A )
& ( n3 = B ) )
& ~ ( ( n2 = A )
& ( n4 = B ) )
& ~ ( ( n2 = A )
& ( n5 = B ) )
& ~ ( ( n2 = B )
& ( n3 = A ) )
& ~ ( ( n2 = B )
& ( n4 = A ) )
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& ( n5 = A ) )
& ~ ( ( n3 = A )
& ( n3 = B ) )
& ~ ( ( n3 = A )
& ( n4 = B ) )
& ~ ( ( n3 = A )
& ( n5 = B ) ) ) )),
rewrite(( ( ~ ( ( n0 = A )
& ( n1 = B ) )
& ~ ( ( n0 = A )
& ( n2 = B ) )
& ~ ( ( n0 = A )
& ( n3 = B ) )
& ~ ( ( n0 = A )
& ( n4 = B ) )
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& ( n5 = B ) )
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& ( n1 = A ) )
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<=> ( ~ ( ( n0 = A )
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( ( ~ ( ( n0 = A )
& ( n1 = B ) )
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<=> ( ~ ( ( n0 = A )
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( ( ~ ( ( n0 = A )
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rewrite(( ( ~ ( ( n0 = A )
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<=> ( ~ ( ( n0 = A )
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( ( ~ ( ( n0 = A )
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<=> ( ~ ( ( n0 = A )
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( ( ~ ( ( n0 = A )
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<=> ( ~ ( ( n0 = A )
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rewrite(( ( ~ ( ( n0 = A )
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<=> ( ~ ( ( n0 = A )
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& ( n5 = B ) )
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& ( n1 = A ) )
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& ( n2 = A ) )
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& ( n3 = A ) )
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& ( n5 = A ) )
& ~ ( ( n1 = A )
& ( n1 = B ) )
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& ( n2 = B ) )
& ~ ( ( n1 = A )
& ( n3 = B ) )
& ~ ( ( n1 = A )
& ( n4 = B ) )
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& ( n5 = B ) )
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& ( n2 = A ) )
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& ( n3 = A ) )
& ~ ( ( n1 = B )
& ( n4 = A ) )
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& ( n5 = A ) )
& ~ ( ( n2 = A )
& ( n2 = B ) )
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& ( n3 = B ) )
& ~ ( ( n2 = A )
& ( n4 = B ) )
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& ( n5 = B ) )
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& ( n3 = A ) )
& ~ ( ( n2 = B )
& ( n4 = A ) )
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& ( n5 = A ) )
& ~ ( ( n3 = A )
& ( n3 = B ) )
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& ( n4 = B ) )
& ~ ( ( n3 = A )
& ( n5 = B ) )
& ~ ( ( n3 = B )
& ( n4 = A ) )
& ~ ( ( n3 = B )
& ( n5 = A ) ) ) )),
( ( ~ ( ( n0 = A )
& ( n1 = B ) )
& ~ ( ( n0 = A )
& ( n2 = B ) )
& ~ ( ( n0 = A )
& ( n3 = B ) )
& ~ ( ( n0 = A )
& ( n4 = B ) )
& ~ ( ( n0 = A )
& ( n5 = B ) )
& ~ ( ( n0 = B )
& ( n1 = A ) )
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& ( n2 = A ) )
& ~ ( ( n0 = B )
& ( n3 = A ) )
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& ( n4 = A ) )
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& ( n5 = A ) )
& ~ ( ( n1 = A )
& ( n1 = B ) )
& ~ ( ( n1 = A )
& ( n2 = B ) )
& ~ ( ( n1 = A )
& ( n3 = B ) )
& ~ ( ( n1 = A )
& ( n4 = B ) )
& ~ ( ( n1 = A )
& ( n5 = B ) )
& ~ ( ( n1 = B )
& ( n2 = A ) )
& ~ ( ( n1 = B )
& ( n3 = A ) )
& ~ ( ( n1 = B )
& ( n4 = A ) )
& ~ ( ( n1 = B )
& ( n5 = A ) )
& ~ ( ( n2 = A )
& ( n2 = B ) )
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& ( n3 = B ) )
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& ( n4 = B ) )
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& ( n5 = B ) )
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& ( n3 = A ) )
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& ( n4 = A ) )
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& ( n5 = A ) )
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& ( n3 = B ) )
& ~ ( ( n3 = A )
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& ( n5 = B ) )
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& ( n4 = A ) )
& ~ ( ( n3 = B )
& ( n5 = A ) ) )
<=> ( ~ ( ( n0 = A )
& ( n1 = B ) )
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& ( n2 = B ) )
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& ( n3 = B ) )
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& ( n4 = B ) )
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& ( n5 = B ) )
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& ( n4 = A ) )
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& ( n5 = A ) )
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& ( n3 = B ) )
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& ( n4 = B ) )
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& ( n5 = B ) )
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& ( n4 = A ) )
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& ( n5 = A ) ) ) )),
( ( ~ ( ( n0 = A )
& ( n1 = B ) )
& ~ ( ( n0 = A )
& ( n2 = B ) )
& ~ ( ( n0 = A )
& ( n3 = B ) )
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& ( n5 = B ) )
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& ( n4 = A ) )
& ~ ( ( n0 = B )
& ( n5 = A ) )
& ~ ( ( n1 = A )
& ( n1 = B ) )
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& ( n2 = B ) )
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& ( n3 = B ) )
& ~ ( ( n1 = A )
& ( n4 = B ) )
& ~ ( ( n1 = A )
& ( n5 = B ) )
& ~ ( ( n1 = B )
& ( n2 = A ) )
& ~ ( ( n1 = B )
& ( n3 = A ) )
& ~ ( ( n1 = B )
& ( n4 = A ) )
& ~ ( ( n1 = B )
& ( n5 = A ) )
& ~ ( ( n2 = A )
& ( n2 = B ) )
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& ( n3 = B ) )
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& ( n4 = B ) )
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& ( n5 = B ) )
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& ( n3 = A ) )
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& ( n4 = A ) )
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& ( n5 = A ) )
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& ( n3 = B ) )
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& ( n4 = B ) )
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& ( n5 = B ) )
& ~ ( ( n3 = B )
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<=> ( ~ ( ( n0 = A )
& ( n1 = B ) )
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& ( n3 = B ) )
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& ( n4 = B ) )
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& ( n1 = A ) )
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& ( n2 = B ) )
& ~ ( ( n1 = A )
& ( n3 = B ) )
& ~ ( ( n1 = A )
& ( n4 = B ) )
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& ( n5 = B ) )
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& ( n2 = B ) )
& ~ ( ( n2 = A )
& ( n3 = B ) )
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& ~ ( ( n2 = A )
& ( n5 = B ) )
& ~ ( ( n2 = B )
& ( n3 = A ) )
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& ~ ( ( n2 = B )
& ( n5 = A ) )
& ~ ( ( n3 = A )
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& ( n4 = B ) )
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& ( n5 = B ) )
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& ( n4 = A ) )
& ~ ( ( n3 = B )
& ( n5 = A ) )
& ~ ( ( n4 = A )
& ( n4 = B ) ) ) )),
rewrite(( ( ~ ( ( n0 = A )
& ( n1 = B ) )
& ~ ( ( n0 = A )
& ( n2 = B ) )
& ~ ( ( n0 = A )
& ( n3 = B ) )
& ~ ( ( n0 = A )
& ( n4 = B ) )
& ~ ( ( n0 = A )
& ( n5 = B ) )
& ~ ( ( n0 = B )
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& ( n3 = A ) )
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& ~ ( ( n1 = A )
& ( n1 = B ) )
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& ( n2 = B ) )
& ~ ( ( n1 = A )
& ( n3 = B ) )
& ~ ( ( n1 = A )
& ( n4 = B ) )
& ~ ( ( n1 = A )
& ( n5 = B ) )
& ~ ( ( n1 = B )
& ( n2 = A ) )
& ~ ( ( n1 = B )
& ( n3 = A ) )
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& ~ ( ( n1 = B )
& ( n5 = A ) )
& ~ ( ( n2 = A )
& ( n2 = B ) )
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& ( n3 = B ) )
& ~ ( ( n2 = A )
& ( n4 = B ) )
& ~ ( ( n2 = A )
& ( n5 = B ) )
& ~ ( ( n2 = B )
& ( n3 = A ) )
& ~ ( ( n2 = B )
& ( n4 = A ) )
& ~ ( ( n2 = B )
& ( n5 = A ) )
& ~ ( ( n3 = A )
& ( n3 = B ) )
& ~ ( ( n3 = A )
& ( n4 = B ) )
& ~ ( ( n3 = A )
& ( n5 = B ) )
& ~ ( ( n3 = B )
& ( n4 = A ) )
& ~ ( ( n3 = B )
& ( n5 = A ) )
& ~ ( ( n4 = A )
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<=> ( ~ ( ( n0 = A )
& ( n1 = B ) )
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& ( n4 = B ) )
& ~ ( ( n0 = A )
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& ~ ( ( n0 = B )
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& ~ ( ( n0 = B )
& ( n2 = A ) )
& ~ ( ( n0 = B )
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& ~ ( ( n0 = B )
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& ~ ( ( n0 = B )
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& ~ ( ( n1 = A )
& ( n1 = B ) )
& ~ ( ( n1 = A )
& ( n2 = B ) )
& ~ ( ( n1 = A )
& ( n3 = B ) )
& ~ ( ( n1 = A )
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& ~ ( ( n1 = A )
& ( n5 = B ) )
& ~ ( ( n1 = B )
& ( n2 = A ) )
& ~ ( ( n1 = B )
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& ~ ( ( n1 = B )
& ( n4 = A ) )
& ~ ( ( n1 = B )
& ( n5 = A ) )
& ~ ( ( n2 = A )
& ( n2 = B ) )
& ~ ( ( n2 = A )
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& ~ ( ( n2 = A )
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& ~ ( ( n2 = A )
& ( n5 = B ) )
& ~ ( ( n2 = B )
& ( n3 = A ) )
& ~ ( ( n2 = B )
& ( n4 = A ) )
& ~ ( ( n2 = B )
& ( n5 = A ) )
& ~ ( ( n3 = A )
& ( n3 = B ) )
& ~ ( ( n3 = A )
& ( n4 = B ) )
& ~ ( ( n3 = A )
& ( n5 = B ) )
& ~ ( ( n3 = B )
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& ~ ( ( n3 = B )
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& ~ ( ( n4 = A )
& ( n4 = B ) ) ) )),
( ( ~ ( ( n0 = A )
& ( n1 = B ) )
& ~ ( ( n0 = A )
& ( n2 = B ) )
& ~ ( ( n0 = A )
& ( n3 = B ) )
& ~ ( ( n0 = A )
& ( n4 = B ) )
& ~ ( ( n0 = A )
& ( n5 = B ) )
& ~ ( ( n0 = B )
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& ~ ( ( n0 = B )
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& ~ ( ( n0 = B )
& ( n3 = A ) )
& ~ ( ( n0 = B )
& ( n4 = A ) )
& ~ ( ( n0 = B )
& ( n5 = A ) )
& ~ ( ( n1 = A )
& ( n1 = B ) )
& ~ ( ( n1 = A )
& ( n2 = B ) )
& ~ ( ( n1 = A )
& ( n3 = B ) )
& ~ ( ( n1 = A )
& ( n4 = B ) )
& ~ ( ( n1 = A )
& ( n5 = B ) )
& ~ ( ( n1 = B )
& ( n2 = A ) )
& ~ ( ( n1 = B )
& ( n3 = A ) )
& ~ ( ( n1 = B )
& ( n4 = A ) )
& ~ ( ( n1 = B )
& ( n5 = A ) )
& ~ ( ( n2 = A )
& ( n2 = B ) )
& ~ ( ( n2 = A )
& ( n3 = B ) )
& ~ ( ( n2 = A )
& ( n4 = B ) )
& ~ ( ( n2 = A )
& ( n5 = B ) )
& ~ ( ( n2 = B )
& ( n3 = A ) )
& ~ ( ( n2 = B )
& ( n4 = A ) )
& ~ ( ( n2 = B )
& ( n5 = A ) )
& ~ ( ( n3 = A )
& ( n3 = B ) )
& ~ ( ( n3 = A )
& ( n4 = B ) )
& ~ ( ( n3 = A )
& ( n5 = B ) )
& ~ ( ( n3 = B )
& ( n4 = A ) )
& ~ ( ( n3 = B )
& ( n5 = A ) )
& ~ ( ( n4 = A )
& ( n4 = B ) ) )
<=> ( ~ ( ( n0 = A )
& ( n1 = B ) )
& ~ ( ( n0 = A )
& ( n2 = B ) )
& ~ ( ( n0 = A )
& ( n3 = B ) )
& ~ ( ( n0 = A )
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& ~ ( ( n0 = A )
& ( n5 = B ) )
& ~ ( ( n0 = B )
& ( n1 = A ) )
& ~ ( ( n0 = B )
& ( n2 = A ) )
& ~ ( ( n0 = B )
& ( n3 = A ) )
& ~ ( ( n0 = B )
& ( n4 = A ) )
& ~ ( ( n0 = B )
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& ~ ( ( n1 = A )
& ( n1 = B ) )
& ~ ( ( n1 = A )
& ( n2 = B ) )
& ~ ( ( n1 = A )
& ( n3 = B ) )
& ~ ( ( n1 = A )
& ( n4 = B ) )
& ~ ( ( n1 = A )
& ( n5 = B ) )
& ~ ( ( n1 = B )
& ( n2 = A ) )
& ~ ( ( n1 = B )
& ( n3 = A ) )
& ~ ( ( n1 = B )
& ( n4 = A ) )
& ~ ( ( n1 = B )
& ( n5 = A ) )
& ~ ( ( n2 = A )
& ( n2 = B ) )
& ~ ( ( n2 = A )
& ( n3 = B ) )
& ~ ( ( n2 = A )
& ( n4 = B ) )
& ~ ( ( n2 = A )
& ( n5 = B ) )
& ~ ( ( n2 = B )
& ( n3 = A ) )
& ~ ( ( n2 = B )
& ( n4 = A ) )
& ~ ( ( n2 = B )
& ( n5 = A ) )
& ~ ( ( n3 = A )
& ( n3 = B ) )
& ~ ( ( n3 = A )
& ( n4 = B ) )
& ~ ( ( n3 = A )
& ( n5 = B ) )
& ~ ( ( n3 = B )
& ( n4 = A ) )
& ~ ( ( n3 = B )
& ( n5 = A ) )
& ~ ( ( n4 = A )
& ( n4 = B ) ) ) )),
( ( ~ ( ( n0 = A )
& ( n1 = B ) )
& ~ ( ( n0 = A )
& ( n2 = B ) )
& ~ ( ( n0 = A )
& ( n3 = B ) )
& ~ ( ( n0 = A )
& ( n4 = B ) )
& ~ ( ( n0 = A )
& ( n5 = B ) )
& ~ ( ( n0 = B )
& ( n1 = A ) )
& ~ ( ( n0 = B )
& ( n2 = A ) )
& ~ ( ( n0 = B )
& ( n3 = A ) )
& ~ ( ( n0 = B )
& ( n4 = A ) )
& ~ ( ( n0 = B )
& ( n5 = A ) )
& ~ ( ( n1 = A )
& ( n1 = B ) )
& ~ ( ( n1 = A )
& ( n2 = B ) )
& ~ ( ( n1 = A )
& ( n3 = B ) )
& ~ ( ( n1 = A )
& ( n4 = B ) )
& ~ ( ( n1 = A )
& ( n5 = B ) )
& ~ ( ( n1 = B )
& ( n2 = A ) )
& ~ ( ( n1 = B )
& ( n3 = A ) )
& ~ ( ( n1 = B )
& ( n4 = A ) )
& ~ ( ( n1 = B )
& ( n5 = A ) )
& ~ ( ( n2 = A )
& ( n2 = B ) )
& ~ ( ( n2 = A )
& ( n3 = B ) )
& ~ ( ( n2 = A )
& ( n4 = B ) )
& ~ ( ( n2 = A )
& ( n5 = B ) )
& ~ ( ( n2 = B )
& ( n3 = A ) )
& ~ ( ( n2 = B )
& ( n4 = A ) )
& ~ ( ( n2 = B )
& ( n5 = A ) )
& ~ ( ( n3 = A )
& ( n3 = B ) )
& ~ ( ( n3 = A )
& ( n4 = B ) )
& ~ ( ( n3 = A )
& ( n5 = B ) )
& ~ ( ( n3 = B )
& ( n4 = A ) )
& ~ ( ( n3 = B )
& ( n5 = A ) )
& ~ ( ( n4 = A )
& ( n4 = B ) )
& ~ ( ( n4 = A )
& ( n5 = B ) ) )
<=> ( ~ ( ( n0 = A )
& ( n1 = B ) )
& ~ ( ( n0 = A )
& ( n2 = B ) )
& ~ ( ( n0 = A )
& ( n3 = B ) )
& ~ ( ( n0 = A )
& ( n4 = B ) )
& ~ ( ( n0 = A )
& ( n5 = B ) )
& ~ ( ( n0 = B )
& ( n1 = A ) )
& ~ ( ( n0 = B )
& ( n2 = A ) )
& ~ ( ( n0 = B )
& ( n3 = A ) )
& ~ ( ( n0 = B )
& ( n4 = A ) )
& ~ ( ( n0 = B )
& ( n5 = A ) )
& ~ ( ( n1 = A )
& ( n1 = B ) )
& ~ ( ( n1 = A )
& ( n2 = B ) )
& ~ ( ( n1 = A )
& ( n3 = B ) )
& ~ ( ( n1 = A )
& ( n4 = B ) )
& ~ ( ( n1 = A )
& ( n5 = B ) )
& ~ ( ( n1 = B )
& ( n2 = A ) )
& ~ ( ( n1 = B )
& ( n3 = A ) )
& ~ ( ( n1 = B )
& ( n4 = A ) )
& ~ ( ( n1 = B )
& ( n5 = A ) )
& ~ ( ( n2 = A )
& ( n2 = B ) )
& ~ ( ( n2 = A )
& ( n3 = B ) )
& ~ ( ( n2 = A )
& ( n4 = B ) )
& ~ ( ( n2 = A )
& ( n5 = B ) )
& ~ ( ( n2 = B )
& ( n3 = A ) )
& ~ ( ( n2 = B )
& ( n4 = A ) )
& ~ ( ( n2 = B )
& ( n5 = A ) )
& ~ ( ( n3 = A )
& ( n3 = B ) )
& ~ ( ( n3 = A )
& ( n4 = B ) )
& ~ ( ( n3 = A )
& ( n5 = B ) )
& ~ ( ( n3 = B )
& ( n4 = A ) )
& ~ ( ( n3 = B )
& ( n5 = A ) )
& ~ ( ( n4 = A )
& ( n4 = B ) )
& ~ ( ( n4 = A )
& ( n5 = B ) ) ) )),
rewrite(( ( ~ ( ( n0 = A )
& ( n1 = B ) )
& ~ ( ( n0 = A )
& ( n2 = B ) )
& ~ ( ( n0 = A )
& ( n3 = B ) )
& ~ ( ( n0 = A )
& ( n4 = B ) )
& ~ ( ( n0 = A )
& ( n5 = B ) )
& ~ ( ( n0 = B )
& ( n1 = A ) )
& ~ ( ( n0 = B )
& ( n2 = A ) )
& ~ ( ( n0 = B )
& ( n3 = A ) )
& ~ ( ( n0 = B )
& ( n4 = A ) )
& ~ ( ( n0 = B )
& ( n5 = A ) )
& ~ ( ( n1 = A )
& ( n1 = B ) )
& ~ ( ( n1 = A )
& ( n2 = B ) )
& ~ ( ( n1 = A )
& ( n3 = B ) )
& ~ ( ( n1 = A )
& ( n4 = B ) )
& ~ ( ( n1 = A )
& ( n5 = B ) )
& ~ ( ( n1 = B )
& ( n2 = A ) )
& ~ ( ( n1 = B )
& ( n3 = A ) )
& ~ ( ( n1 = B )
& ( n4 = A ) )
& ~ ( ( n1 = B )
& ( n5 = A ) )
& ~ ( ( n2 = A )
& ( n2 = B ) )
& ~ ( ( n2 = A )
& ( n3 = B ) )
& ~ ( ( n2 = A )
& ( n4 = B ) )
& ~ ( ( n2 = A )
& ( n5 = B ) )
& ~ ( ( n2 = B )
& ( n3 = A ) )
& ~ ( ( n2 = B )
& ( n4 = A ) )
& ~ ( ( n2 = B )
& ( n5 = A ) )
& ~ ( ( n3 = A )
& ( n3 = B ) )
& ~ ( ( n3 = A )
& ( n4 = B ) )
& ~ ( ( n3 = A )
& ( n5 = B ) )
& ~ ( ( n3 = B )
& ( n4 = A ) )
& ~ ( ( n3 = B )
& ( n5 = A ) )
& ~ ( ( n4 = A )
& ( n4 = B ) )
& ~ ( ( n4 = A )
& ( n5 = B ) ) )
<=> ( ~ ( ( n0 = A )
& ( n1 = B ) )
& ~ ( ( n0 = A )
& ( n2 = B ) )
& ~ ( ( n0 = A )
& ( n3 = B ) )
& ~ ( ( n0 = A )
& ( n4 = B ) )
& ~ ( ( n0 = A )
& ( n5 = B ) )
& ~ ( ( n0 = B )
& ( n1 = A ) )
& ~ ( ( n0 = B )
& ( n2 = A ) )
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& ( n4 = B ) )
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& ( n5 = B ) ) ) )),
( ( ~ ( ( n0 = A )
& ( n1 = B ) )
& ~ ( ( n0 = A )
& ( n2 = B ) )
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<=> ( ~ ( ( n0 = A )
& ( n1 = B ) )
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( ( ~ ( ( n0 = A )
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<=> ( ~ ( ( n0 = A )
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rewrite(( ( ~ ( ( n0 = A )
& ( n1 = B ) )
& ~ ( ( n0 = A )
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<=> ( ~ ( ( n0 = A )
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& ~ ( ( n3 = A )
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& ~ ( ( n4 = A )
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( ( ~ ( ( n0 = A )
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& ~ ( ( n0 = A )
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& ~ ( ( n1 = B )
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& ~ ( ( n1 = B )
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& ~ ( ( n1 = B )
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& ~ ( ( n2 = A )
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& ~ ( ( n2 = A )
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& ~ ( ( n2 = B )
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<=> ( ~ ( ( n0 = A )
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( ( ~ ( ( n0 = A )
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& ~ ( ( n0 = A )
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<=> ( ~ ( ( n0 = A )
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& ( n4 = B ) )
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& ( n5 = B ) )
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& ( n5 = B ) )
& ~ ( ( n4 = B )
& ( n5 = A ) )
& ~ ( ( n5 = A )
& ( n5 = B ) ) ) )),
rewrite(( ( ~ ( ( n0 = A )
& ( n1 = B ) )
& ~ ( ( n0 = A )
& ( n2 = B ) )
& ~ ( ( n0 = A )
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& ( n5 = B ) )
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& ( n3 = A ) )
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<=> ( ~ ( ( n0 = A )
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( ( ~ ( ( n0 = A )
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rewrite(( ( ~ ( ( n0 = A )
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<=> ( ~ ( ( n0 = A )
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( ( ~ ( ( n0 = A )
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( ( ~ ( ( n0 = A )
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<=> ( ~ ( ( n0 = A )
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rewrite(( ( ~ ( ( n0 = A )
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<=> ( ~ ( ( n0 = A )
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rewrite(( ( ~ ( ( n0 = A )
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<=> ( ~ ( ( n0 = A )
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& ( n3 = A ) )
& ~ ( ( n0 = B )
& ( n4 = A ) )
& ~ ( ( n0 = B )
& ( n5 = A ) )
& ~ ( ( n1 = A )
& ( n1 = B ) )
& ~ ( ( n1 = A )
& ( n2 = B ) )
& ~ ( ( n1 = A )
& ( n3 = B ) )
& ~ ( ( n1 = A )
& ( n4 = B ) )
& ~ ( ( n1 = A )
& ( n5 = B ) )
& ~ ( ( n1 = B )
& ( n2 = A ) )
& ~ ( ( n1 = B )
& ( n3 = A ) )
& ~ ( ( n1 = B )
& ( n4 = A ) )
& ~ ( ( n1 = B )
& ( n5 = A ) )
& ~ ( ( n2 = A )
& ( n2 = B ) )
& ~ ( ( n2 = A )
& ( n3 = B ) )
& ~ ( ( n2 = A )
& ( n4 = B ) )
& ~ ( ( n2 = A )
& ( n5 = B ) )
& ~ ( ( n2 = B )
& ( n3 = A ) )
& ~ ( ( n2 = B )
& ( n4 = A ) )
& ~ ( ( n2 = B )
& ( n5 = A ) )
& ~ ( ( n3 = A )
& ( n3 = B ) )
& ~ ( ( n3 = A )
& ( n4 = B ) )
& ~ ( ( n3 = A )
& ( n5 = B ) )
& ~ ( ( n3 = B )
& ( n4 = A ) )
& ~ ( ( n3 = B )
& ( n5 = A ) )
& ~ ( ( n4 = A )
& ( n4 = B ) )
& ~ ( ( n4 = A )
& ( n5 = B ) )
& ~ ( ( n4 = B )
& ( n5 = A ) )
& ~ ( ( n5 = A )
& ( n5 = B ) )
& ( n0 = A )
& ( n0 = B )
& ( n1 = A ) )
=> ( n0 = times(divide(n1,n400),a_select2(sigma,n0)) ) )
<=> ( ( ~ ( ( n0 = A )
& ( n1 = B ) )
& ~ ( ( n0 = A )
& ( n2 = B ) )
& ~ ( ( n0 = A )
& ( n3 = B ) )
& ~ ( ( n0 = A )
& ( n4 = B ) )
& ~ ( ( n0 = A )
& ( n5 = B ) )
& ~ ( ( n0 = B )
& ( n1 = A ) )
& ~ ( ( n0 = B )
& ( n2 = A ) )
& ~ ( ( n0 = B )
& ( n3 = A ) )
& ~ ( ( n0 = B )
& ( n4 = A ) )
& ~ ( ( n0 = B )
& ( n5 = A ) )
& ~ ( ( n1 = A )
& ( n1 = B ) )
& ~ ( ( n1 = A )
& ( n2 = B ) )
& ~ ( ( n1 = A )
& ( n3 = B ) )
& ~ ( ( n1 = A )
& ( n4 = B ) )
& ~ ( ( n1 = A )
& ( n5 = B ) )
& ~ ( ( n1 = B )
& ( n2 = A ) )
& ~ ( ( n1 = B )
& ( n3 = A ) )
& ~ ( ( n1 = B )
& ( n4 = A ) )
& ~ ( ( n1 = B )
& ( n5 = A ) )
& ~ ( ( n2 = A )
& ( n2 = B ) )
& ~ ( ( n2 = A )
& ( n3 = B ) )
& ~ ( ( n2 = A )
& ( n4 = B ) )
& ~ ( ( n2 = A )
& ( n5 = B ) )
& ~ ( ( n2 = B )
& ( n3 = A ) )
& ~ ( ( n2 = B )
& ( n4 = A ) )
& ~ ( ( n2 = B )
& ( n5 = A ) )
& ~ ( ( n3 = A )
& ( n3 = B ) )
& ~ ( ( n3 = A )
& ( n4 = B ) )
& ~ ( ( n3 = A )
& ( n5 = B ) )
& ~ ( ( n3 = B )
& ( n4 = A ) )
& ~ ( ( n3 = B )
& ( n5 = A ) )
& ~ ( ( n4 = A )
& ( n4 = B ) )
& ~ ( ( n4 = A )
& ( n5 = B ) )
& ~ ( ( n4 = B )
& ( n5 = A ) )
& ~ ( ( n5 = A )
& ( n5 = B ) )
& ( n0 = A )
& ( n0 = B )
& ( n1 = A ) )
=> ( n0 = times(divide(n1,n400),a_select2(sigma,n0)) ) ) )),
rewrite(( ( ( ~ ( ( n0 = A )
& ( n1 = B ) )
& ~ ( ( n0 = A )
& ( n2 = B ) )
& ~ ( ( n0 = A )
& ( n3 = B ) )
& ~ ( ( n0 = A )
& ( n4 = B ) )
& ~ ( ( n0 = A )
& ( n5 = B ) )
& ~ ( ( n0 = B )
& ( n1 = A ) )
& ~ ( ( n0 = B )
& ( n2 = A ) )
& ~ ( ( n0 = B )
& ( n3 = A ) )
& ~ ( ( n0 = B )
& ( n4 = A ) )
& ~ ( ( n0 = B )
& ( n5 = A ) )
& ~ ( ( n1 = A )
& ( n1 = B ) )
& ~ ( ( n1 = A )
& ( n2 = B ) )
& ~ ( ( n1 = A )
& ( n3 = B ) )
& ~ ( ( n1 = A )
& ( n4 = B ) )
& ~ ( ( n1 = A )
& ( n5 = B ) )
& ~ ( ( n1 = B )
& ( n2 = A ) )
& ~ ( ( n1 = B )
& ( n3 = A ) )
& ~ ( ( n1 = B )
& ( n4 = A ) )
& ~ ( ( n1 = B )
& ( n5 = A ) )
& ~ ( ( n2 = A )
& ( n2 = B ) )
& ~ ( ( n2 = A )
& ( n3 = B ) )
& ~ ( ( n2 = A )
& ( n4 = B ) )
& ~ ( ( n2 = A )
& ( n5 = B ) )
& ~ ( ( n2 = B )
& ( n3 = A ) )
& ~ ( ( n2 = B )
& ( n4 = A ) )
& ~ ( ( n2 = B )
& ( n5 = A ) )
& ~ ( ( n3 = A )
& ( n3 = B ) )
& ~ ( ( n3 = A )
& ( n4 = B ) )
& ~ ( ( n3 = A )
& ( n5 = B ) )
& ~ ( ( n3 = B )
& ( n4 = A ) )
& ~ ( ( n3 = B )
& ( n5 = A ) )
& ~ ( ( n4 = A )
& ( n4 = B ) )
& ~ ( ( n4 = A )
& ( n5 = B ) )
& ~ ( ( n4 = B )
& ( n5 = A ) )
& ~ ( ( n5 = A )
& ( n5 = B ) )
& ( n0 = A )
& ( n0 = B )
& ( n1 = A ) )
=> ( n0 = times(divide(n1,n400),a_select2(sigma,n0)) ) )
<=> ( ~ ( ~ ( ( n0 = A )
& ( n1 = B ) )
& ~ ( ( n0 = A )
& ( n2 = B ) )
& ~ ( ( n0 = A )
& ( n3 = B ) )
& ~ ( ( n0 = A )
& ( n4 = B ) )
& ~ ( ( n0 = A )
& ( n5 = B ) )
& ~ ( ( n0 = B )
& ( n1 = A ) )
& ~ ( ( n0 = B )
& ( n2 = A ) )
& ~ ( ( n0 = B )
& ( n3 = A ) )
& ~ ( ( n0 = B )
& ( n4 = A ) )
& ~ ( ( n0 = B )
& ( n5 = A ) )
& ~ ( ( n1 = A )
& ( n1 = B ) )
& ~ ( ( n1 = A )
& ( n2 = B ) )
& ~ ( ( n1 = A )
& ( n3 = B ) )
& ~ ( ( n1 = A )
& ( n4 = B ) )
& ~ ( ( n1 = A )
& ( n5 = B ) )
& ~ ( ( n1 = B )
& ( n2 = A ) )
& ~ ( ( n1 = B )
& ( n3 = A ) )
& ~ ( ( n1 = B )
& ( n4 = A ) )
& ~ ( ( n1 = B )
& ( n5 = A ) )
& ~ ( ( n2 = A )
& ( n2 = B ) )
& ~ ( ( n2 = A )
& ( n3 = B ) )
& ~ ( ( n2 = A )
& ( n4 = B ) )
& ~ ( ( n2 = A )
& ( n5 = B ) )
& ~ ( ( n2 = B )
& ( n3 = A ) )
& ~ ( ( n2 = B )
& ( n4 = A ) )
& ~ ( ( n2 = B )
& ( n5 = A ) )
& ~ ( ( n3 = A )
& ( n3 = B ) )
& ~ ( ( n3 = A )
& ( n4 = B ) )
& ~ ( ( n3 = A )
& ( n5 = B ) )
& ~ ( ( n3 = B )
& ( n4 = A ) )
& ~ ( ( n3 = B )
& ( n5 = A ) )
& ~ ( ( n4 = A )
& ( n4 = B ) )
& ~ ( ( n4 = A )
& ( n5 = B ) )
& ~ ( ( n4 = B )
& ( n5 = A ) )
& ~ ( ( n5 = A )
& ( n5 = B ) )
& ( n0 = A )
& ( n0 = B )
& ( n1 = A ) )
| ( n0 = times(divide(n1,n400),a_select2(sigma,n0)) ) ) )),
( ( ( ~ ( ( n0 = A )
& ( n1 = B ) )
& ~ ( ( n0 = A )
& ( n2 = B ) )
& ~ ( ( n0 = A )
& ( n3 = B ) )
& ~ ( ( n0 = A )
& ( n4 = B ) )
& ~ ( ( n0 = A )
& ( n5 = B ) )
& ~ ( ( n0 = B )
& ( n1 = A ) )
& ~ ( ( n0 = B )
& ( n2 = A ) )
& ~ ( ( n0 = B )
& ( n3 = A ) )
& ~ ( ( n0 = B )
& ( n4 = A ) )
& ~ ( ( n0 = B )
& ( n5 = A ) )
& ~ ( ( n1 = A )
& ( n1 = B ) )
& ~ ( ( n1 = A )
& ( n2 = B ) )
& ~ ( ( n1 = A )
& ( n3 = B ) )
& ~ ( ( n1 = A )
& ( n4 = B ) )
& ~ ( ( n1 = A )
& ( n5 = B ) )
& ~ ( ( n1 = B )
& ( n2 = A ) )
& ~ ( ( n1 = B )
& ( n3 = A ) )
& ~ ( ( n1 = B )
& ( n4 = A ) )
& ~ ( ( n1 = B )
& ( n5 = A ) )
& ~ ( ( n2 = A )
& ( n2 = B ) )
& ~ ( ( n2 = A )
& ( n3 = B ) )
& ~ ( ( n2 = A )
& ( n4 = B ) )
& ~ ( ( n2 = A )
& ( n5 = B ) )
& ~ ( ( n2 = B )
& ( n3 = A ) )
& ~ ( ( n2 = B )
& ( n4 = A ) )
& ~ ( ( n2 = B )
& ( n5 = A ) )
& ~ ( ( n3 = A )
& ( n3 = B ) )
& ~ ( ( n3 = A )
& ( n4 = B ) )
& ~ ( ( n3 = A )
& ( n5 = B ) )
& ~ ( ( n3 = B )
& ( n4 = A ) )
& ~ ( ( n3 = B )
& ( n5 = A ) )
& ~ ( ( n4 = A )
& ( n4 = B ) )
& ~ ( ( n4 = A )
& ( n5 = B ) )
& ~ ( ( n4 = B )
& ( n5 = A ) )
& ~ ( ( n5 = A )
& ( n5 = B ) )
& ( n0 = A )
& ( n0 = B )
& ( n1 = A ) )
=> ( n0 = times(divide(n1,n400),a_select2(sigma,n0)) ) )
<=> ( ~ ( ~ ( ( n0 = A )
& ( n1 = B ) )
& ~ ( ( n0 = A )
& ( n2 = B ) )
& ~ ( ( n0 = A )
& ( n3 = B ) )
& ~ ( ( n0 = A )
& ( n4 = B ) )
& ~ ( ( n0 = A )
& ( n5 = B ) )
& ~ ( ( n0 = B )
& ( n1 = A ) )
& ~ ( ( n0 = B )
& ( n2 = A ) )
& ~ ( ( n0 = B )
& ( n3 = A ) )
& ~ ( ( n0 = B )
& ( n4 = A ) )
& ~ ( ( n0 = B )
& ( n5 = A ) )
& ~ ( ( n1 = A )
& ( n1 = B ) )
& ~ ( ( n1 = A )
& ( n2 = B ) )
& ~ ( ( n1 = A )
& ( n3 = B ) )
& ~ ( ( n1 = A )
& ( n4 = B ) )
& ~ ( ( n1 = A )
& ( n5 = B ) )
& ~ ( ( n1 = B )
& ( n2 = A ) )
& ~ ( ( n1 = B )
& ( n3 = A ) )
& ~ ( ( n1 = B )
& ( n4 = A ) )
& ~ ( ( n1 = B )
& ( n5 = A ) )
& ~ ( ( n2 = A )
& ( n2 = B ) )
& ~ ( ( n2 = A )
& ( n3 = B ) )
& ~ ( ( n2 = A )
& ( n4 = B ) )
& ~ ( ( n2 = A )
& ( n5 = B ) )
& ~ ( ( n2 = B )
& ( n3 = A ) )
& ~ ( ( n2 = B )
& ( n4 = A ) )
& ~ ( ( n2 = B )
& ( n5 = A ) )
& ~ ( ( n3 = A )
& ( n3 = B ) )
& ~ ( ( n3 = A )
& ( n4 = B ) )
& ~ ( ( n3 = A )
& ( n5 = B ) )
& ~ ( ( n3 = B )
& ( n4 = A ) )
& ~ ( ( n3 = B )
& ( n5 = A ) )
& ~ ( ( n4 = A )
& ( n4 = B ) )
& ~ ( ( n4 = A )
& ( n5 = B ) )
& ~ ( ( n4 = B )
& ( n5 = A ) )
& ~ ( ( n5 = A )
& ( n5 = B ) )
& ( n0 = A )
& ( n0 = B )
& ( n1 = A ) )
| ( n0 = times(divide(n1,n400),a_select2(sigma,n0)) ) ) )),
( ( ( leq(n0,A)
& leq(n0,B)
& leq(A,n5)
& leq(B,n5) )
=> ( ( ~ ( ( n0 = A )
& ( n1 = B ) )
& ~ ( ( n0 = A )
& ( n2 = B ) )
& ~ ( ( n0 = A )
& ( n3 = B ) )
& ~ ( ( n0 = A )
& ( n4 = B ) )
& ~ ( ( n0 = A )
& ( n5 = B ) )
& ~ ( ( n0 = B )
& ( n1 = A ) )
& ~ ( ( n0 = B )
& ( n2 = A ) )
& ~ ( ( n0 = B )
& ( n3 = A ) )
& ~ ( ( n0 = B )
& ( n4 = A ) )
& ~ ( ( n0 = B )
& ( n5 = A ) )
& ~ ( ( n1 = A )
& ( n1 = B ) )
& ~ ( ( n1 = A )
& ( n2 = B ) )
& ~ ( ( n1 = A )
& ( n3 = B ) )
& ~ ( ( n1 = A )
& ( n4 = B ) )
& ~ ( ( n1 = A )
& ( n5 = B ) )
& ~ ( ( n1 = B )
& ( n2 = A ) )
& ~ ( ( n1 = B )
& ( n3 = A ) )
& ~ ( ( n1 = B )
& ( n4 = A ) )
& ~ ( ( n1 = B )
& ( n5 = A ) )
& ~ ( ( n2 = A )
& ( n2 = B ) )
& ~ ( ( n2 = A )
& ( n3 = B ) )
& ~ ( ( n2 = A )
& ( n4 = B ) )
& ~ ( ( n2 = A )
& ( n5 = B ) )
& ~ ( ( n2 = B )
& ( n3 = A ) )
& ~ ( ( n2 = B )
& ( n4 = A ) )
& ~ ( ( n2 = B )
& ( n5 = A ) )
& ~ ( ( n3 = A )
& ( n3 = B ) )
& ~ ( ( n3 = A )
& ( n4 = B ) )
& ~ ( ( n3 = A )
& ( n5 = B ) )
& ~ ( ( n3 = B )
& ( n4 = A ) )
& ~ ( ( n3 = B )
& ( n5 = A ) )
& ~ ( ( n4 = A )
& ( n4 = B ) )
& ~ ( ( n4 = A )
& ( n5 = B ) )
& ~ ( ( n4 = B )
& ( n5 = A ) )
& ~ ( ( n5 = A )
& ( n5 = B ) )
& ( n0 = A )
& ( n0 = B )
& ( n1 = A ) )
=> ( n0 = times(divide(n1,n400),a_select2(sigma,n0)) ) ) )
<=> ( ( leq(n0,A)
& leq(n0,B)
& leq(A,n5)
& leq(B,n5) )
=> ( ~ ( ~ ( ( n0 = A )
& ( n1 = B ) )
& ~ ( ( n0 = A )
& ( n2 = B ) )
& ~ ( ( n0 = A )
& ( n3 = B ) )
& ~ ( ( n0 = A )
& ( n4 = B ) )
& ~ ( ( n0 = A )
& ( n5 = B ) )
& ~ ( ( n0 = B )
& ( n1 = A ) )
& ~ ( ( n0 = B )
& ( n2 = A ) )
& ~ ( ( n0 = B )
& ( n3 = A ) )
& ~ ( ( n0 = B )
& ( n4 = A ) )
& ~ ( ( n0 = B )
& ( n5 = A ) )
& ~ ( ( n1 = A )
& ( n1 = B ) )
& ~ ( ( n1 = A )
& ( n2 = B ) )
& ~ ( ( n1 = A )
& ( n3 = B ) )
& ~ ( ( n1 = A )
& ( n4 = B ) )
& ~ ( ( n1 = A )
& ( n5 = B ) )
& ~ ( ( n1 = B )
& ( n2 = A ) )
& ~ ( ( n1 = B )
& ( n3 = A ) )
& ~ ( ( n1 = B )
& ( n4 = A ) )
& ~ ( ( n1 = B )
& ( n5 = A ) )
& ~ ( ( n2 = A )
& ( n2 = B ) )
& ~ ( ( n2 = A )
& ( n3 = B ) )
& ~ ( ( n2 = A )
& ( n4 = B ) )
& ~ ( ( n2 = A )
& ( n5 = B ) )
& ~ ( ( n2 = B )
& ( n3 = A ) )
& ~ ( ( n2 = B )
& ( n4 = A ) )
& ~ ( ( n2 = B )
& ( n5 = A ) )
& ~ ( ( n3 = A )
& ( n3 = B ) )
& ~ ( ( n3 = A )
& ( n4 = B ) )
& ~ ( ( n3 = A )
& ( n5 = B ) )
& ~ ( ( n3 = B )
& ( n4 = A ) )
& ~ ( ( n3 = B )
& ( n5 = A ) )
& ~ ( ( n4 = A )
& ( n4 = B ) )
& ~ ( ( n4 = A )
& ( n5 = B ) )
& ~ ( ( n4 = B )
& ( n5 = A ) )
& ~ ( ( n5 = A )
& ( n5 = B ) )
& ( n0 = A )
& ( n0 = B )
& ( n1 = A ) )
| ( n0 = times(divide(n1,n400),a_select2(sigma,n0)) ) ) ) )),
rewrite(( ( ( leq(n0,A)
& leq(n0,B)
& leq(A,n5)
& leq(B,n5) )
=> ( ~ ( ~ ( ( n0 = A )
& ( n1 = B ) )
& ~ ( ( n0 = A )
& ( n2 = B ) )
& ~ ( ( n0 = A )
& ( n3 = B ) )
& ~ ( ( n0 = A )
& ( n4 = B ) )
& ~ ( ( n0 = A )
& ( n5 = B ) )
& ~ ( ( n0 = B )
& ( n1 = A ) )
& ~ ( ( n0 = B )
& ( n2 = A ) )
& ~ ( ( n0 = B )
& ( n3 = A ) )
& ~ ( ( n0 = B )
& ( n4 = A ) )
& ~ ( ( n0 = B )
& ( n5 = A ) )
& ~ ( ( n1 = A )
& ( n1 = B ) )
& ~ ( ( n1 = A )
& ( n2 = B ) )
& ~ ( ( n1 = A )
& ( n3 = B ) )
& ~ ( ( n1 = A )
& ( n4 = B ) )
& ~ ( ( n1 = A )
& ( n5 = B ) )
& ~ ( ( n1 = B )
& ( n2 = A ) )
& ~ ( ( n1 = B )
& ( n3 = A ) )
& ~ ( ( n1 = B )
& ( n4 = A ) )
& ~ ( ( n1 = B )
& ( n5 = A ) )
& ~ ( ( n2 = A )
& ( n2 = B ) )
& ~ ( ( n2 = A )
& ( n3 = B ) )
& ~ ( ( n2 = A )
& ( n4 = B ) )
& ~ ( ( n2 = A )
& ( n5 = B ) )
& ~ ( ( n2 = B )
& ( n3 = A ) )
& ~ ( ( n2 = B )
& ( n4 = A ) )
& ~ ( ( n2 = B )
& ( n5 = A ) )
& ~ ( ( n3 = A )
& ( n3 = B ) )
& ~ ( ( n3 = A )
& ( n4 = B ) )
& ~ ( ( n3 = A )
& ( n5 = B ) )
& ~ ( ( n3 = B )
& ( n4 = A ) )
& ~ ( ( n3 = B )
& ( n5 = A ) )
& ~ ( ( n4 = A )
& ( n4 = B ) )
& ~ ( ( n4 = A )
& ( n5 = B ) )
& ~ ( ( n4 = B )
& ( n5 = A ) )
& ~ ( ( n5 = A )
& ( n5 = B ) )
& ( n0 = A )
& ( n0 = B )
& ( n1 = A ) )
| ( n0 = times(divide(n1,n400),a_select2(sigma,n0)) ) ) )
<=> ( ( n0 = times(divide(n1,n400),a_select2(sigma,n0)) )
| ~ ( ~ ( ( n0 = A )
& ( n1 = B ) )
& ~ ( ( n0 = A )
& ( n2 = B ) )
& ~ ( ( n0 = A )
& ( n3 = B ) )
& ~ ( ( n0 = A )
& ( n4 = B ) )
& ~ ( ( n0 = A )
& ( n5 = B ) )
& ~ ( ( n0 = B )
& ( n1 = A ) )
& ~ ( ( n0 = B )
& ( n2 = A ) )
& ~ ( ( n0 = B )
& ( n3 = A ) )
& ~ ( ( n0 = B )
& ( n4 = A ) )
& ~ ( ( n0 = B )
& ( n5 = A ) )
& ~ ( ( n1 = A )
& ( n1 = B ) )
& ~ ( ( n1 = A )
& ( n2 = B ) )
& ~ ( ( n1 = A )
& ( n3 = B ) )
& ~ ( ( n1 = A )
& ( n4 = B ) )
& ~ ( ( n1 = A )
& ( n5 = B ) )
& ~ ( ( n1 = B )
& ( n2 = A ) )
& ~ ( ( n1 = B )
& ( n3 = A ) )
& ~ ( ( n1 = B )
& ( n4 = A ) )
& ~ ( ( n1 = B )
& ( n5 = A ) )
& ~ ( ( n2 = A )
& ( n2 = B ) )
& ~ ( ( n2 = A )
& ( n3 = B ) )
& ~ ( ( n2 = A )
& ( n4 = B ) )
& ~ ( ( n2 = A )
& ( n5 = B ) )
& ~ ( ( n2 = B )
& ( n3 = A ) )
& ~ ( ( n2 = B )
& ( n4 = A ) )
& ~ ( ( n2 = B )
& ( n5 = A ) )
& ~ ( ( n3 = A )
& ( n3 = B ) )
& ~ ( ( n3 = A )
& ( n4 = B ) )
& ~ ( ( n3 = A )
& ( n5 = B ) )
& ~ ( ( n3 = B )
& ( n4 = A ) )
& ~ ( ( n3 = B )
& ( n5 = A ) )
& ~ ( ( n4 = A )
& ( n4 = B ) )
& ~ ( ( n4 = A )
& ( n5 = B ) )
& ~ ( ( n4 = B )
& ( n5 = A ) )
& ~ ( ( n5 = A )
& ( n5 = B ) )
& ( n0 = A )
& ( n0 = B )
& ( n1 = A ) )
| ~ ( leq(n0,A)
& leq(n0,B)
& leq(A,n5)
& leq(B,n5) ) ) )),
( ( ( leq(n0,A)
& leq(n0,B)
& leq(A,n5)
& leq(B,n5) )
=> ( ( ~ ( ( n0 = A )
& ( n1 = B ) )
& ~ ( ( n0 = A )
& ( n2 = B ) )
& ~ ( ( n0 = A )
& ( n3 = B ) )
& ~ ( ( n0 = A )
& ( n4 = B ) )
& ~ ( ( n0 = A )
& ( n5 = B ) )
& ~ ( ( n0 = B )
& ( n1 = A ) )
& ~ ( ( n0 = B )
& ( n2 = A ) )
& ~ ( ( n0 = B )
& ( n3 = A ) )
& ~ ( ( n0 = B )
& ( n4 = A ) )
& ~ ( ( n0 = B )
& ( n5 = A ) )
& ~ ( ( n1 = A )
& ( n1 = B ) )
& ~ ( ( n1 = A )
& ( n2 = B ) )
& ~ ( ( n1 = A )
& ( n3 = B ) )
& ~ ( ( n1 = A )
& ( n4 = B ) )
& ~ ( ( n1 = A )
& ( n5 = B ) )
& ~ ( ( n1 = B )
& ( n2 = A ) )
& ~ ( ( n1 = B )
& ( n3 = A ) )
& ~ ( ( n1 = B )
& ( n4 = A ) )
& ~ ( ( n1 = B )
& ( n5 = A ) )
& ~ ( ( n2 = A )
& ( n2 = B ) )
& ~ ( ( n2 = A )
& ( n3 = B ) )
& ~ ( ( n2 = A )
& ( n4 = B ) )
& ~ ( ( n2 = A )
& ( n5 = B ) )
& ~ ( ( n2 = B )
& ( n3 = A ) )
& ~ ( ( n2 = B )
& ( n4 = A ) )
& ~ ( ( n2 = B )
& ( n5 = A ) )
& ~ ( ( n3 = A )
& ( n3 = B ) )
& ~ ( ( n3 = A )
& ( n4 = B ) )
& ~ ( ( n3 = A )
& ( n5 = B ) )
& ~ ( ( n3 = B )
& ( n4 = A ) )
& ~ ( ( n3 = B )
& ( n5 = A ) )
& ~ ( ( n4 = A )
& ( n4 = B ) )
& ~ ( ( n4 = A )
& ( n5 = B ) )
& ~ ( ( n4 = B )
& ( n5 = A ) )
& ~ ( ( n5 = A )
& ( n5 = B ) )
& ( n0 = A )
& ( n0 = B )
& ( n1 = A ) )
=> ( n0 = times(divide(n1,n400),a_select2(sigma,n0)) ) ) )
<=> ( ( n0 = times(divide(n1,n400),a_select2(sigma,n0)) )
| ~ ( ~ ( ( n0 = A )
& ( n1 = B ) )
& ~ ( ( n0 = A )
& ( n2 = B ) )
& ~ ( ( n0 = A )
& ( n3 = B ) )
& ~ ( ( n0 = A )
& ( n4 = B ) )
& ~ ( ( n0 = A )
& ( n5 = B ) )
& ~ ( ( n0 = B )
& ( n1 = A ) )
& ~ ( ( n0 = B )
& ( n2 = A ) )
& ~ ( ( n0 = B )
& ( n3 = A ) )
& ~ ( ( n0 = B )
& ( n4 = A ) )
& ~ ( ( n0 = B )
& ( n5 = A ) )
& ~ ( ( n1 = A )
& ( n1 = B ) )
& ~ ( ( n1 = A )
& ( n2 = B ) )
& ~ ( ( n1 = A )
& ( n3 = B ) )
& ~ ( ( n1 = A )
& ( n4 = B ) )
& ~ ( ( n1 = A )
& ( n5 = B ) )
& ~ ( ( n1 = B )
& ( n2 = A ) )
& ~ ( ( n1 = B )
& ( n3 = A ) )
& ~ ( ( n1 = B )
& ( n4 = A ) )
& ~ ( ( n1 = B )
& ( n5 = A ) )
& ~ ( ( n2 = A )
& ( n2 = B ) )
& ~ ( ( n2 = A )
& ( n3 = B ) )
& ~ ( ( n2 = A )
& ( n4 = B ) )
& ~ ( ( n2 = A )
& ( n5 = B ) )
& ~ ( ( n2 = B )
& ( n3 = A ) )
& ~ ( ( n2 = B )
& ( n4 = A ) )
& ~ ( ( n2 = B )
& ( n5 = A ) )
& ~ ( ( n3 = A )
& ( n3 = B ) )
& ~ ( ( n3 = A )
& ( n4 = B ) )
& ~ ( ( n3 = A )
& ( n5 = B ) )
& ~ ( ( n3 = B )
& ( n4 = A ) )
& ~ ( ( n3 = B )
& ( n5 = A ) )
& ~ ( ( n4 = A )
& ( n4 = B ) )
& ~ ( ( n4 = A )
& ( n5 = B ) )
& ~ ( ( n4 = B )
& ( n5 = A ) )
& ~ ( ( n5 = A )
& ( n5 = B ) )
& ( n0 = A )
& ( n0 = B )
& ( n1 = A ) )
| ~ ( leq(n0,A)
& leq(n0,B)
& leq(A,n5)
& leq(B,n5) ) ) )),
inference(bind,[status(th)],[]) ).
tff(42,plain,
( ! [A: $i,B: $i] :
( ( leq(n0,A)
& leq(n0,B)
& leq(A,n5)
& leq(B,n5) )
=> ( ( ~ ( ( n0 = A )
& ( n1 = B ) )
& ~ ( ( n0 = A )
& ( n2 = B ) )
& ~ ( ( n0 = A )
& ( n3 = B ) )
& ~ ( ( n0 = A )
& ( n4 = B ) )
& ~ ( ( n0 = A )
& ( n5 = B ) )
& ~ ( ( n0 = B )
& ( n1 = A ) )
& ~ ( ( n0 = B )
& ( n2 = A ) )
& ~ ( ( n0 = B )
& ( n3 = A ) )
& ~ ( ( n0 = B )
& ( n4 = A ) )
& ~ ( ( n0 = B )
& ( n5 = A ) )
& ~ ( ( n1 = A )
& ( n1 = B ) )
& ~ ( ( n1 = A )
& ( n2 = B ) )
& ~ ( ( n1 = A )
& ( n3 = B ) )
& ~ ( ( n1 = A )
& ( n4 = B ) )
& ~ ( ( n1 = A )
& ( n5 = B ) )
& ~ ( ( n1 = B )
& ( n2 = A ) )
& ~ ( ( n1 = B )
& ( n3 = A ) )
& ~ ( ( n1 = B )
& ( n4 = A ) )
& ~ ( ( n1 = B )
& ( n5 = A ) )
& ~ ( ( n2 = A )
& ( n2 = B ) )
& ~ ( ( n2 = A )
& ( n3 = B ) )
& ~ ( ( n2 = A )
& ( n4 = B ) )
& ~ ( ( n2 = A )
& ( n5 = B ) )
& ~ ( ( n2 = B )
& ( n3 = A ) )
& ~ ( ( n2 = B )
& ( n4 = A ) )
& ~ ( ( n2 = B )
& ( n5 = A ) )
& ~ ( ( n3 = A )
& ( n3 = B ) )
& ~ ( ( n3 = A )
& ( n4 = B ) )
& ~ ( ( n3 = A )
& ( n5 = B ) )
& ~ ( ( n3 = B )
& ( n4 = A ) )
& ~ ( ( n3 = B )
& ( n5 = A ) )
& ~ ( ( n4 = A )
& ( n4 = B ) )
& ~ ( ( n4 = A )
& ( n5 = B ) )
& ~ ( ( n4 = B )
& ( n5 = A ) )
& ~ ( ( n5 = A )
& ( n5 = B ) )
& ( n0 = A )
& ( n0 = B )
& ( n1 = A ) )
=> ( n0 = times(divide(n1,n400),a_select2(sigma,n0)) ) ) )
<=> ! [A: $i,B: $i] :
( ( n0 = times(divide(n1,n400),a_select2(sigma,n0)) )
| ~ ( ~ ( ( n0 = A )
& ( n1 = B ) )
& ~ ( ( n0 = A )
& ( n2 = B ) )
& ~ ( ( n0 = A )
& ( n3 = B ) )
& ~ ( ( n0 = A )
& ( n4 = B ) )
& ~ ( ( n0 = A )
& ( n5 = B ) )
& ~ ( ( n0 = B )
& ( n1 = A ) )
& ~ ( ( n0 = B )
& ( n2 = A ) )
& ~ ( ( n0 = B )
& ( n3 = A ) )
& ~ ( ( n0 = B )
& ( n4 = A ) )
& ~ ( ( n0 = B )
& ( n5 = A ) )
& ~ ( ( n1 = A )
& ( n1 = B ) )
& ~ ( ( n1 = A )
& ( n2 = B ) )
& ~ ( ( n1 = A )
& ( n3 = B ) )
& ~ ( ( n1 = A )
& ( n4 = B ) )
& ~ ( ( n1 = A )
& ( n5 = B ) )
& ~ ( ( n1 = B )
& ( n2 = A ) )
& ~ ( ( n1 = B )
& ( n3 = A ) )
& ~ ( ( n1 = B )
& ( n4 = A ) )
& ~ ( ( n1 = B )
& ( n5 = A ) )
& ~ ( ( n2 = A )
& ( n2 = B ) )
& ~ ( ( n2 = A )
& ( n3 = B ) )
& ~ ( ( n2 = A )
& ( n4 = B ) )
& ~ ( ( n2 = A )
& ( n5 = B ) )
& ~ ( ( n2 = B )
& ( n3 = A ) )
& ~ ( ( n2 = B )
& ( n4 = A ) )
& ~ ( ( n2 = B )
& ( n5 = A ) )
& ~ ( ( n3 = A )
& ( n3 = B ) )
& ~ ( ( n3 = A )
& ( n4 = B ) )
& ~ ( ( n3 = A )
& ( n5 = B ) )
& ~ ( ( n3 = B )
& ( n4 = A ) )
& ~ ( ( n3 = B )
& ( n5 = A ) )
& ~ ( ( n4 = A )
& ( n4 = B ) )
& ~ ( ( n4 = A )
& ( n5 = B ) )
& ~ ( ( n4 = B )
& ( n5 = A ) )
& ~ ( ( n5 = A )
& ( n5 = B ) )
& ( n0 = A )
& ( n0 = B )
& ( n1 = A ) )
| ~ ( leq(n0,A)
& leq(n0,B)
& leq(A,n5)
& leq(B,n5) ) ) ),
inference(quant_intro,[status(thm)],[41]) ).
tff(43,plain,
( ! [A: $i,B: $i] :
( ( leq(n0,A)
& leq(n0,B)
& leq(A,n5)
& leq(B,n5) )
=> ( ( ~ ( ( n0 = A )
& ( n1 = B ) )
& ~ ( ( n0 = A )
& ( n2 = B ) )
& ~ ( ( n0 = A )
& ( n3 = B ) )
& ~ ( ( n0 = A )
& ( n4 = B ) )
& ~ ( ( n0 = A )
& ( n5 = B ) )
& ~ ( ( n0 = B )
& ( n1 = A ) )
& ~ ( ( n0 = B )
& ( n2 = A ) )
& ~ ( ( n0 = B )
& ( n3 = A ) )
& ~ ( ( n0 = B )
& ( n4 = A ) )
& ~ ( ( n0 = B )
& ( n5 = A ) )
& ~ ( ( n1 = A )
& ( n1 = B ) )
& ~ ( ( n1 = A )
& ( n2 = B ) )
& ~ ( ( n1 = A )
& ( n3 = B ) )
& ~ ( ( n1 = A )
& ( n4 = B ) )
& ~ ( ( n1 = A )
& ( n5 = B ) )
& ~ ( ( n1 = B )
& ( n2 = A ) )
& ~ ( ( n1 = B )
& ( n3 = A ) )
& ~ ( ( n1 = B )
& ( n4 = A ) )
& ~ ( ( n1 = B )
& ( n5 = A ) )
& ~ ( ( n2 = A )
& ( n2 = B ) )
& ~ ( ( n2 = A )
& ( n3 = B ) )
& ~ ( ( n2 = A )
& ( n4 = B ) )
& ~ ( ( n2 = A )
& ( n5 = B ) )
& ~ ( ( n2 = B )
& ( n3 = A ) )
& ~ ( ( n2 = B )
& ( n4 = A ) )
& ~ ( ( n2 = B )
& ( n5 = A ) )
& ~ ( ( n3 = A )
& ( n3 = B ) )
& ~ ( ( n3 = A )
& ( n4 = B ) )
& ~ ( ( n3 = A )
& ( n5 = B ) )
& ~ ( ( n3 = B )
& ( n4 = A ) )
& ~ ( ( n3 = B )
& ( n5 = A ) )
& ~ ( ( n4 = A )
& ( n4 = B ) )
& ~ ( ( n4 = A )
& ( n5 = B ) )
& ~ ( ( n4 = B )
& ( n5 = A ) )
& ~ ( ( n5 = A )
& ( n5 = B ) )
& ( n0 = A )
& ( n0 = B )
& ( n1 = A ) )
=> ( n0 = times(divide(n1,n400),a_select2(sigma,n0)) ) ) )
<=> $true ),
inference(transitivity,[status(thm)],[42,40]) ).
tff(44,plain,
( ~ ! [A: $i,B: $i] :
( ( leq(n0,A)
& leq(n0,B)
& leq(A,n5)
& leq(B,n5) )
=> ( ( ~ ( ( n0 = A )
& ( n1 = B ) )
& ~ ( ( n0 = A )
& ( n2 = B ) )
& ~ ( ( n0 = A )
& ( n3 = B ) )
& ~ ( ( n0 = A )
& ( n4 = B ) )
& ~ ( ( n0 = A )
& ( n5 = B ) )
& ~ ( ( n0 = B )
& ( n1 = A ) )
& ~ ( ( n0 = B )
& ( n2 = A ) )
& ~ ( ( n0 = B )
& ( n3 = A ) )
& ~ ( ( n0 = B )
& ( n4 = A ) )
& ~ ( ( n0 = B )
& ( n5 = A ) )
& ~ ( ( n1 = A )
& ( n1 = B ) )
& ~ ( ( n1 = A )
& ( n2 = B ) )
& ~ ( ( n1 = A )
& ( n3 = B ) )
& ~ ( ( n1 = A )
& ( n4 = B ) )
& ~ ( ( n1 = A )
& ( n5 = B ) )
& ~ ( ( n1 = B )
& ( n2 = A ) )
& ~ ( ( n1 = B )
& ( n3 = A ) )
& ~ ( ( n1 = B )
& ( n4 = A ) )
& ~ ( ( n1 = B )
& ( n5 = A ) )
& ~ ( ( n2 = A )
& ( n2 = B ) )
& ~ ( ( n2 = A )
& ( n3 = B ) )
& ~ ( ( n2 = A )
& ( n4 = B ) )
& ~ ( ( n2 = A )
& ( n5 = B ) )
& ~ ( ( n2 = B )
& ( n3 = A ) )
& ~ ( ( n2 = B )
& ( n4 = A ) )
& ~ ( ( n2 = B )
& ( n5 = A ) )
& ~ ( ( n3 = A )
& ( n3 = B ) )
& ~ ( ( n3 = A )
& ( n4 = B ) )
& ~ ( ( n3 = A )
& ( n5 = B ) )
& ~ ( ( n3 = B )
& ( n4 = A ) )
& ~ ( ( n3 = B )
& ( n5 = A ) )
& ~ ( ( n4 = A )
& ( n4 = B ) )
& ~ ( ( n4 = A )
& ( n5 = B ) )
& ~ ( ( n4 = B )
& ( n5 = A ) )
& ~ ( ( n5 = A )
& ( n5 = B ) )
& ( n0 = A )
& ( n0 = B )
& ( n1 = A ) )
=> ( n0 = times(divide(n1,n400),a_select2(sigma,n0)) ) ) )
<=> ~ $true ),
inference(monotonicity,[status(thm)],[43]) ).
tff(45,plain,
( ~ ! [A: $i,B: $i] :
( ( leq(n0,A)
& leq(n0,B)
& leq(A,n5)
& leq(B,n5) )
=> ( ( ~ ( ( n0 = A )
& ( n1 = B ) )
& ~ ( ( n0 = A )
& ( n2 = B ) )
& ~ ( ( n0 = A )
& ( n3 = B ) )
& ~ ( ( n0 = A )
& ( n4 = B ) )
& ~ ( ( n0 = A )
& ( n5 = B ) )
& ~ ( ( n0 = B )
& ( n1 = A ) )
& ~ ( ( n0 = B )
& ( n2 = A ) )
& ~ ( ( n0 = B )
& ( n3 = A ) )
& ~ ( ( n0 = B )
& ( n4 = A ) )
& ~ ( ( n0 = B )
& ( n5 = A ) )
& ~ ( ( n1 = A )
& ( n1 = B ) )
& ~ ( ( n1 = A )
& ( n2 = B ) )
& ~ ( ( n1 = A )
& ( n3 = B ) )
& ~ ( ( n1 = A )
& ( n4 = B ) )
& ~ ( ( n1 = A )
& ( n5 = B ) )
& ~ ( ( n1 = B )
& ( n2 = A ) )
& ~ ( ( n1 = B )
& ( n3 = A ) )
& ~ ( ( n1 = B )
& ( n4 = A ) )
& ~ ( ( n1 = B )
& ( n5 = A ) )
& ~ ( ( n2 = A )
& ( n2 = B ) )
& ~ ( ( n2 = A )
& ( n3 = B ) )
& ~ ( ( n2 = A )
& ( n4 = B ) )
& ~ ( ( n2 = A )
& ( n5 = B ) )
& ~ ( ( n2 = B )
& ( n3 = A ) )
& ~ ( ( n2 = B )
& ( n4 = A ) )
& ~ ( ( n2 = B )
& ( n5 = A ) )
& ~ ( ( n3 = A )
& ( n3 = B ) )
& ~ ( ( n3 = A )
& ( n4 = B ) )
& ~ ( ( n3 = A )
& ( n5 = B ) )
& ~ ( ( n3 = B )
& ( n4 = A ) )
& ~ ( ( n3 = B )
& ( n5 = A ) )
& ~ ( ( n4 = A )
& ( n4 = B ) )
& ~ ( ( n4 = A )
& ( n5 = B ) )
& ~ ( ( n4 = B )
& ( n5 = A ) )
& ~ ( ( n5 = A )
& ( n5 = B ) )
& ( n0 = A )
& ( n0 = B )
& ( n1 = A ) )
=> ( n0 = times(divide(n1,n400),a_select2(sigma,n0)) ) ) )
<=> $false ),
inference(transitivity,[status(thm)],[44,1]) ).
tff(46,axiom,
~ ! [A: $i,B: $i] :
( ( leq(n0,A)
& leq(n0,B)
& leq(A,n5)
& leq(B,n5) )
=> ( ( ~ ( ( n0 = A )
& ( n1 = B ) )
& ~ ( ( n0 = A )
& ( n2 = B ) )
& ~ ( ( n0 = A )
& ( n3 = B ) )
& ~ ( ( n0 = A )
& ( n4 = B ) )
& ~ ( ( n0 = A )
& ( n5 = B ) )
& ~ ( ( n0 = B )
& ( n1 = A ) )
& ~ ( ( n0 = B )
& ( n2 = A ) )
& ~ ( ( n0 = B )
& ( n3 = A ) )
& ~ ( ( n0 = B )
& ( n4 = A ) )
& ~ ( ( n0 = B )
& ( n5 = A ) )
& ~ ( ( n1 = A )
& ( n1 = B ) )
& ~ ( ( n1 = A )
& ( n2 = B ) )
& ~ ( ( n1 = A )
& ( n3 = B ) )
& ~ ( ( n1 = A )
& ( n4 = B ) )
& ~ ( ( n1 = A )
& ( n5 = B ) )
& ~ ( ( n1 = B )
& ( n2 = A ) )
& ~ ( ( n1 = B )
& ( n3 = A ) )
& ~ ( ( n1 = B )
& ( n4 = A ) )
& ~ ( ( n1 = B )
& ( n5 = A ) )
& ~ ( ( n2 = A )
& ( n2 = B ) )
& ~ ( ( n2 = A )
& ( n3 = B ) )
& ~ ( ( n2 = A )
& ( n4 = B ) )
& ~ ( ( n2 = A )
& ( n5 = B ) )
& ~ ( ( n2 = B )
& ( n3 = A ) )
& ~ ( ( n2 = B )
& ( n4 = A ) )
& ~ ( ( n2 = B )
& ( n5 = A ) )
& ~ ( ( n3 = A )
& ( n3 = B ) )
& ~ ( ( n3 = A )
& ( n4 = B ) )
& ~ ( ( n3 = A )
& ( n5 = B ) )
& ~ ( ( n3 = B )
& ( n4 = A ) )
& ~ ( ( n3 = B )
& ( n5 = A ) )
& ~ ( ( n4 = A )
& ( n4 = B ) )
& ~ ( ( n4 = A )
& ( n5 = B ) )
& ~ ( ( n4 = B )
& ( n5 = A ) )
& ~ ( ( n5 = A )
& ( n5 = B ) )
& ( n0 = A )
& ( n0 = B )
& ( n1 = A ) )
=> ( n0 = times(divide(n1,n400),a_select2(sigma,n0)) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',quaternion_ds1_symm_0001) ).
tff(47,plain,
$false,
inference(modus_ponens,[status(thm)],[46,45]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : SWV211+1 : TPTP v9.0.0. Bugfixed v3.3.0.
% 0.03/0.12 % Command : run_E %s %d THM
% 0.12/0.34 % Computer : n011.cluster.edu
% 0.12/0.34 % Model : x86_64 x86_64
% 0.12/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.34 % Memory : 8042.1875MB
% 0.12/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.34 % CPULimit : 300
% 0.12/0.34 % WCLimit : 300
% 0.12/0.34 % DateTime : Fri Jun 20 09:31:56 EDT 2025
% 0.12/0.34 % CPUTime :
% 0.20/0.39 % SZS status Theorem
% 0.20/0.39 % SZS output start Proof
% See solution above
% 0.39/0.55 % E exiting
%------------------------------------------------------------------------------