%------------------------------------------------------------------------------
% File : Z3---4.15.1
% Problem : SWV228+1 : TPTP v9.0.0. Bugfixed v3.3.0.
% Transfm : none
% Format : tptp
% Command : run_E %s %d THM
% Computer : n015.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 05:31:47 AM UTC 2025
% Result : Theorem 0.12s 0.40s
% Output : Proof 0.20s
% Verified :
% SZS Type : Refutation
% Derivation depth : 11
% Number of leaves : 16
% Syntax : Number of formulae : 37 ( 2 unt; 0 typ; 0 def)
% Number of atoms : 6003 (5691 equ)
% Maximal formula atoms : 108 ( 162 avg)
% Number of connectives : 8443 (2636 ~; 246 |;5404 &)
% ( 114 <=>; 43 =>; 0 <=; 0 <~>)
% Maximal formula depth : 33 ( 14 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of FOOLs : 159 ( 159 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; 9 con; 0-3 aty)
% Number of variables : 64 ( 62 !; 0 ?; 64 :)
% Comments :
%------------------------------------------------------------------------------
tff(a_select2_type,type,
a_select2: ( $i * $i ) > $i ).
tff(n3_type,type,
n3: $i ).
tff(xinit_noise_type,type,
xinit_noise: $i ).
tff(n0_type,type,
n0: $i ).
tff(n5_type,type,
n5: $i ).
tff(n4_type,type,
n4: $i ).
tff(n2_type,type,
n2: $i ).
tff(n1_type,type,
n1: $i ).
tff(leq_type,type,
leq: ( $i * $i ) > $o ).
tff(a_select3_type,type,
a_select3: ( $i * $i * $i ) > $i ).
tff(r_ds1_filter_type,type,
r_ds1_filter: $i ).
tff(q_ds1_filter_type,type,
q_ds1_filter: $i ).
tff(1,plain,
( ~ $true
<=> $false ),
inference(rewrite,[status(thm)],[]) ).
tff(2,plain,
( ( ( ! [A: $i,B: $i] :
( ~ ( leq(n0,A)
& leq(n0,B)
& leq(A,n5)
& leq(B,n5) )
| ( a_select3(q_ds1_filter,A,B) = a_select3(q_ds1_filter,B,A) ) )
& ! [C: $i,D: $i] :
( ~ ( leq(n0,C)
& leq(n0,D)
& leq(C,n2)
& leq(D,n2) )
| ( a_select3(r_ds1_filter,C,D) = a_select3(r_ds1_filter,D,C) ) ) )
=> $true )
<=> $true ),
inference(rewrite,[status(thm)],[]) ).
tff(3,plain,
( ( ( n0 = a_select2(xinit_noise,n3) )
| ~ leq(n3,n5)
| ( ( n0 = n3 )
& ( n4 = n3 ) )
| ( ( n0 = n3 )
& ( n5 = n3 ) )
| ( ( n0 = n3 )
& ( n4 = n3 ) )
| ( ( n0 = n3 )
& ( n5 = n3 ) )
| ( ( n1 = n3 )
& ( n4 = n3 ) )
| ( ( n1 = n3 )
& ( n5 = n3 ) )
| ( n1 = n3 )
| ( ( n1 = n3 )
& ( n4 = n3 ) )
| ( ( n1 = n3 )
& ( n5 = n3 ) )
| ( ( n2 = n3 )
& ( n4 = n3 ) )
| ( ( n2 = n3 )
& ( n5 = n3 ) )
| ( n2 = n3 )
| ( ( n2 = n3 )
& ( n4 = n3 ) )
| ( ( n2 = n3 )
& ( n5 = n3 ) )
| $true
| ( n4 = n3 )
| ( n5 = n3 )
| ( n4 = n3 )
| ( n5 = n3 )
| ( n4 = n3 )
| ( ( n4 = n3 )
& ( n5 = n3 ) )
| ( ( n4 = n3 )
& ( n5 = n3 ) )
| ( n5 = n3 )
| ( n0 != n3 )
| ~ leq(n0,n3)
| ~ leq(n0,n3)
| ~ leq(n3,n5) )
<=> $true ),
inference(rewrite,[status(thm)],[]) ).
tff(4,plain,
( ( ( n5 = n3 )
& ( n5 = n3 ) )
<=> ( n5 = n3 ) ),
inference(rewrite,[status(thm)],[]) ).
tff(5,plain,
( ( ( n4 = n3 )
& ( n4 = n3 ) )
<=> ( n4 = n3 ) ),
inference(rewrite,[status(thm)],[]) ).
tff(6,plain,
( ( $true
& ( n5 = n3 ) )
<=> ( n5 = n3 ) ),
inference(rewrite,[status(thm)],[]) ).
tff(7,plain,
( ( n3 = n3 )
<=> $true ),
inference(rewrite,[status(thm)],[]) ).
tff(8,plain,
( ( ( n3 = n3 )
& ( n5 = n3 ) )
<=> ( $true
& ( n5 = n3 ) ) ),
inference(monotonicity,[status(thm)],[7]) ).
tff(9,plain,
( ( ( n3 = n3 )
& ( n5 = n3 ) )
<=> ( n5 = n3 ) ),
inference(transitivity,[status(thm)],[8,6]) ).
tff(10,plain,
( ( $true
& ( n4 = n3 ) )
<=> ( n4 = n3 ) ),
inference(rewrite,[status(thm)],[]) ).
tff(11,plain,
( ( ( n3 = n3 )
& ( n4 = n3 ) )
<=> ( $true
& ( n4 = n3 ) ) ),
inference(monotonicity,[status(thm)],[7]) ).
tff(12,plain,
( ( ( n3 = n3 )
& ( n4 = n3 ) )
<=> ( n4 = n3 ) ),
inference(transitivity,[status(thm)],[11,10]) ).
tff(13,plain,
( ( $true
& $true )
<=> $true ),
inference(rewrite,[status(thm)],[]) ).
tff(14,plain,
( ( ( n3 = n3 )
& ( n3 = n3 ) )
<=> ( $true
& $true ) ),
inference(monotonicity,[status(thm)],[7,7]) ).
tff(15,plain,
( ( ( n3 = n3 )
& ( n3 = n3 ) )
<=> $true ),
inference(transitivity,[status(thm)],[14,13]) ).
tff(16,plain,
( ( ( n2 = n3 )
& $true )
<=> ( n2 = n3 ) ),
inference(rewrite,[status(thm)],[]) ).
tff(17,plain,
( ( ( n2 = n3 )
& ( n3 = n3 ) )
<=> ( ( n2 = n3 )
& $true ) ),
inference(monotonicity,[status(thm)],[7]) ).
tff(18,plain,
( ( ( n2 = n3 )
& ( n3 = n3 ) )
<=> ( n2 = n3 ) ),
inference(transitivity,[status(thm)],[17,16]) ).
tff(19,plain,
( ( ( n1 = n3 )
& $true )
<=> ( n1 = n3 ) ),
inference(rewrite,[status(thm)],[]) ).
tff(20,plain,
( ( ( n1 = n3 )
& ( n3 = n3 ) )
<=> ( ( n1 = n3 )
& $true ) ),
inference(monotonicity,[status(thm)],[7]) ).
tff(21,plain,
( ( ( n1 = n3 )
& ( n3 = n3 ) )
<=> ( n1 = n3 ) ),
inference(transitivity,[status(thm)],[20,19]) ).
tff(22,plain,
( ( ( n0 = a_select2(xinit_noise,n3) )
| ~ leq(n3,n5)
| ( ( n0 = n3 )
& ( n4 = n3 ) )
| ( ( n0 = n3 )
& ( n5 = n3 ) )
| ( ( n0 = n3 )
& ( n4 = n3 ) )
| ( ( n0 = n3 )
& ( n5 = n3 ) )
| ( ( n1 = n3 )
& ( n4 = n3 ) )
| ( ( n1 = n3 )
& ( n5 = n3 ) )
| ( ( n1 = n3 )
& ( n3 = n3 ) )
| ( ( n1 = n3 )
& ( n4 = n3 ) )
| ( ( n1 = n3 )
& ( n5 = n3 ) )
| ( ( n2 = n3 )
& ( n4 = n3 ) )
| ( ( n2 = n3 )
& ( n5 = n3 ) )
| ( ( n2 = n3 )
& ( n3 = n3 ) )
| ( ( n2 = n3 )
& ( n4 = n3 ) )
| ( ( n2 = n3 )
& ( n5 = n3 ) )
| ( ( n3 = n3 )
& ( n3 = n3 ) )
| ( ( n3 = n3 )
& ( n4 = n3 ) )
| ( ( n3 = n3 )
& ( n5 = n3 ) )
| ( ( n3 = n3 )
& ( n4 = n3 ) )
| ( ( n3 = n3 )
& ( n5 = n3 ) )
| ( ( n4 = n3 )
& ( n4 = n3 ) )
| ( ( n4 = n3 )
& ( n5 = n3 ) )
| ( ( n4 = n3 )
& ( n5 = n3 ) )
| ( ( n5 = n3 )
& ( n5 = n3 ) )
| ( n0 != n3 )
| ~ leq(n0,n3)
| ~ leq(n0,n3)
| ~ leq(n3,n5) )
<=> ( ( n0 = a_select2(xinit_noise,n3) )
| ~ leq(n3,n5)
| ( ( n0 = n3 )
& ( n4 = n3 ) )
| ( ( n0 = n3 )
& ( n5 = n3 ) )
| ( ( n0 = n3 )
& ( n4 = n3 ) )
| ( ( n0 = n3 )
& ( n5 = n3 ) )
| ( ( n1 = n3 )
& ( n4 = n3 ) )
| ( ( n1 = n3 )
& ( n5 = n3 ) )
| ( n1 = n3 )
| ( ( n1 = n3 )
& ( n4 = n3 ) )
| ( ( n1 = n3 )
& ( n5 = n3 ) )
| ( ( n2 = n3 )
& ( n4 = n3 ) )
| ( ( n2 = n3 )
& ( n5 = n3 ) )
| ( n2 = n3 )
| ( ( n2 = n3 )
& ( n4 = n3 ) )
| ( ( n2 = n3 )
& ( n5 = n3 ) )
| $true
| ( n4 = n3 )
| ( n5 = n3 )
| ( n4 = n3 )
| ( n5 = n3 )
| ( n4 = n3 )
| ( ( n4 = n3 )
& ( n5 = n3 ) )
| ( ( n4 = n3 )
& ( n5 = n3 ) )
| ( n5 = n3 )
| ( n0 != n3 )
| ~ leq(n0,n3)
| ~ leq(n0,n3)
| ~ leq(n3,n5) ) ),
inference(monotonicity,[status(thm)],[21,18,15,12,9,12,9,5,4]) ).
tff(23,plain,
( ( ( n0 = a_select2(xinit_noise,n3) )
| ~ leq(n3,n5)
| ( ( n0 = n3 )
& ( n4 = n3 ) )
| ( ( n0 = n3 )
& ( n5 = n3 ) )
| ( ( n0 = n3 )
& ( n4 = n3 ) )
| ( ( n0 = n3 )
& ( n5 = n3 ) )
| ( ( n1 = n3 )
& ( n4 = n3 ) )
| ( ( n1 = n3 )
& ( n5 = n3 ) )
| ( ( n1 = n3 )
& ( n3 = n3 ) )
| ( ( n1 = n3 )
& ( n4 = n3 ) )
| ( ( n1 = n3 )
& ( n5 = n3 ) )
| ( ( n2 = n3 )
& ( n4 = n3 ) )
| ( ( n2 = n3 )
& ( n5 = n3 ) )
| ( ( n2 = n3 )
& ( n3 = n3 ) )
| ( ( n2 = n3 )
& ( n4 = n3 ) )
| ( ( n2 = n3 )
& ( n5 = n3 ) )
| ( ( n3 = n3 )
& ( n3 = n3 ) )
| ( ( n3 = n3 )
& ( n4 = n3 ) )
| ( ( n3 = n3 )
& ( n5 = n3 ) )
| ( ( n3 = n3 )
& ( n4 = n3 ) )
| ( ( n3 = n3 )
& ( n5 = n3 ) )
| ( ( n4 = n3 )
& ( n4 = n3 ) )
| ( ( n4 = n3 )
& ( n5 = n3 ) )
| ( ( n4 = n3 )
& ( n5 = n3 ) )
| ( ( n5 = n3 )
& ( n5 = n3 ) )
| ( n0 != n3 )
| ~ leq(n0,n3)
| ~ leq(n0,n3)
| ~ leq(n3,n5) )
<=> $true ),
inference(transitivity,[status(thm)],[22,3]) ).
tff(24,plain,
( ! [E: $i,F: $i] :
( ( n0 = a_select2(xinit_noise,n3) )
| ~ leq(n3,n5)
| ( ( n0 = n3 )
& ( n4 = n3 ) )
| ( ( n0 = n3 )
& ( n5 = n3 ) )
| ( ( n0 = n3 )
& ( n4 = n3 ) )
| ( ( n0 = n3 )
& ( n5 = n3 ) )
| ( ( n1 = n3 )
& ( n4 = n3 ) )
| ( ( n1 = n3 )
& ( n5 = n3 ) )
| ( ( n1 = n3 )
& ( n3 = n3 ) )
| ( ( n1 = n3 )
& ( n4 = n3 ) )
| ( ( n1 = n3 )
& ( n5 = n3 ) )
| ( ( n2 = n3 )
& ( n4 = n3 ) )
| ( ( n2 = n3 )
& ( n5 = n3 ) )
| ( ( n2 = n3 )
& ( n3 = n3 ) )
| ( ( n2 = n3 )
& ( n4 = n3 ) )
| ( ( n2 = n3 )
& ( n5 = n3 ) )
| ( ( n3 = n3 )
& ( n3 = n3 ) )
| ( ( n3 = n3 )
& ( n4 = n3 ) )
| ( ( n3 = n3 )
& ( n5 = n3 ) )
| ( ( n3 = n3 )
& ( n4 = n3 ) )
| ( ( n3 = n3 )
& ( n5 = n3 ) )
| ( ( n4 = n3 )
& ( n4 = n3 ) )
| ( ( n4 = n3 )
& ( n5 = n3 ) )
| ( ( n4 = n3 )
& ( n5 = n3 ) )
| ( ( n5 = n3 )
& ( n5 = n3 ) )
| ( n0 != n3 )
| ~ leq(n0,n3)
| ~ leq(n0,n3)
| ~ leq(n3,n5) )
<=> ( ( n0 = a_select2(xinit_noise,n3) )
| ~ leq(n3,n5)
| ( ( n0 = n3 )
& ( n4 = n3 ) )
| ( ( n0 = n3 )
& ( n5 = n3 ) )
| ( ( n0 = n3 )
& ( n4 = n3 ) )
| ( ( n0 = n3 )
& ( n5 = n3 ) )
| ( ( n1 = n3 )
& ( n4 = n3 ) )
| ( ( n1 = n3 )
& ( n5 = n3 ) )
| ( ( n1 = n3 )
& ( n3 = n3 ) )
| ( ( n1 = n3 )
& ( n4 = n3 ) )
| ( ( n1 = n3 )
& ( n5 = n3 ) )
| ( ( n2 = n3 )
& ( n4 = n3 ) )
| ( ( n2 = n3 )
& ( n5 = n3 ) )
| ( ( n2 = n3 )
& ( n3 = n3 ) )
| ( ( n2 = n3 )
& ( n4 = n3 ) )
| ( ( n2 = n3 )
& ( n5 = n3 ) )
| ( ( n3 = n3 )
& ( n3 = n3 ) )
| ( ( n3 = n3 )
& ( n4 = n3 ) )
| ( ( n3 = n3 )
& ( n5 = n3 ) )
| ( ( n3 = n3 )
& ( n4 = n3 ) )
| ( ( n3 = n3 )
& ( n5 = n3 ) )
| ( ( n4 = n3 )
& ( n4 = n3 ) )
| ( ( n4 = n3 )
& ( n5 = n3 ) )
| ( ( n4 = n3 )
& ( n5 = n3 ) )
| ( ( n5 = n3 )
& ( n5 = n3 ) )
| ( n0 != n3 )
| ~ leq(n0,n3)
| ~ leq(n0,n3)
| ~ leq(n3,n5) ) ),
inference(elim_unused_vars,[status(thm)],[]) ).
tff(25,plain,
( ! [E: $i,F: $i] :
( ( n0 = a_select2(xinit_noise,n3) )
| ~ ( leq(n0,E)
& leq(n0,F)
& leq(E,n5)
& leq(F,n5) )
| ~ ( ~ ( ( n0 = E )
& ( n4 = F ) )
& ~ ( ( n0 = E )
& ( n5 = F ) )
& ~ ( ( n0 = F )
& ( n4 = E ) )
& ~ ( ( n0 = F )
& ( n5 = E ) )
& ~ ( ( n1 = E )
& ( n4 = F ) )
& ~ ( ( n1 = E )
& ( n5 = F ) )
& ~ ( ( n1 = F )
& ( n3 = E ) )
& ~ ( ( n1 = F )
& ( n4 = E ) )
& ~ ( ( n1 = F )
& ( n5 = E ) )
& ~ ( ( n2 = E )
& ( n4 = F ) )
& ~ ( ( n2 = E )
& ( n5 = F ) )
& ~ ( ( n2 = F )
& ( n3 = E ) )
& ~ ( ( n2 = F )
& ( n4 = E ) )
& ~ ( ( n2 = F )
& ( n5 = E ) )
& ~ ( ( n3 = E )
& ( n3 = F ) )
& ~ ( ( n3 = E )
& ( n4 = F ) )
& ~ ( ( n3 = E )
& ( n5 = F ) )
& ~ ( ( n3 = F )
& ( n4 = E ) )
& ~ ( ( n3 = F )
& ( n5 = E ) )
& ~ ( ( n4 = E )
& ( n4 = F ) )
& ~ ( ( n4 = E )
& ( n5 = F ) )
& ~ ( ( n4 = F )
& ( n5 = E ) )
& ~ ( ( n5 = E )
& ( n5 = F ) )
& ( n0 = F )
& ( n3 = E )
& ( n3 = F ) ) )
<=> ! [E: $i,F: $i] :
( ( n0 = a_select2(xinit_noise,n3) )
| ~ leq(n3,n5)
| ( ( n0 = n3 )
& ( n4 = n3 ) )
| ( ( n0 = n3 )
& ( n5 = n3 ) )
| ( ( n0 = n3 )
& ( n4 = n3 ) )
| ( ( n0 = n3 )
& ( n5 = n3 ) )
| ( ( n1 = n3 )
& ( n4 = n3 ) )
| ( ( n1 = n3 )
& ( n5 = n3 ) )
| ( ( n1 = n3 )
& ( n3 = n3 ) )
| ( ( n1 = n3 )
& ( n4 = n3 ) )
| ( ( n1 = n3 )
& ( n5 = n3 ) )
| ( ( n2 = n3 )
& ( n4 = n3 ) )
| ( ( n2 = n3 )
& ( n5 = n3 ) )
| ( ( n2 = n3 )
& ( n3 = n3 ) )
| ( ( n2 = n3 )
& ( n4 = n3 ) )
| ( ( n2 = n3 )
& ( n5 = n3 ) )
| ( ( n3 = n3 )
& ( n3 = n3 ) )
| ( ( n3 = n3 )
& ( n4 = n3 ) )
| ( ( n3 = n3 )
& ( n5 = n3 ) )
| ( ( n3 = n3 )
& ( n4 = n3 ) )
| ( ( n3 = n3 )
& ( n5 = n3 ) )
| ( ( n4 = n3 )
& ( n4 = n3 ) )
| ( ( n4 = n3 )
& ( n5 = n3 ) )
| ( ( n4 = n3 )
& ( n5 = n3 ) )
| ( ( n5 = n3 )
& ( n5 = n3 ) )
| ( n0 != n3 )
| ~ leq(n0,n3)
| ~ leq(n0,n3)
| ~ leq(n3,n5) ) ),
inference(destructive_equality_resolution,[status(thm)],[]) ).
tff(26,plain,
( ! [E: $i,F: $i] :
( ( n0 = a_select2(xinit_noise,n3) )
| ~ ( leq(n0,E)
& leq(n0,F)
& leq(E,n5)
& leq(F,n5) )
| ~ ( ~ ( ( n0 = E )
& ( n4 = F ) )
& ~ ( ( n0 = E )
& ( n5 = F ) )
& ~ ( ( n0 = F )
& ( n4 = E ) )
& ~ ( ( n0 = F )
& ( n5 = E ) )
& ~ ( ( n1 = E )
& ( n4 = F ) )
& ~ ( ( n1 = E )
& ( n5 = F ) )
& ~ ( ( n1 = F )
& ( n3 = E ) )
& ~ ( ( n1 = F )
& ( n4 = E ) )
& ~ ( ( n1 = F )
& ( n5 = E ) )
& ~ ( ( n2 = E )
& ( n4 = F ) )
& ~ ( ( n2 = E )
& ( n5 = F ) )
& ~ ( ( n2 = F )
& ( n3 = E ) )
& ~ ( ( n2 = F )
& ( n4 = E ) )
& ~ ( ( n2 = F )
& ( n5 = E ) )
& ~ ( ( n3 = E )
& ( n3 = F ) )
& ~ ( ( n3 = E )
& ( n4 = F ) )
& ~ ( ( n3 = E )
& ( n5 = F ) )
& ~ ( ( n3 = F )
& ( n4 = E ) )
& ~ ( ( n3 = F )
& ( n5 = E ) )
& ~ ( ( n4 = E )
& ( n4 = F ) )
& ~ ( ( n4 = E )
& ( n5 = F ) )
& ~ ( ( n4 = F )
& ( n5 = E ) )
& ~ ( ( n5 = E )
& ( n5 = F ) )
& ( n0 = F )
& ( n3 = E )
& ( n3 = F ) ) )
<=> ( ( n0 = a_select2(xinit_noise,n3) )
| ~ leq(n3,n5)
| ( ( n0 = n3 )
& ( n4 = n3 ) )
| ( ( n0 = n3 )
& ( n5 = n3 ) )
| ( ( n0 = n3 )
& ( n4 = n3 ) )
| ( ( n0 = n3 )
& ( n5 = n3 ) )
| ( ( n1 = n3 )
& ( n4 = n3 ) )
| ( ( n1 = n3 )
& ( n5 = n3 ) )
| ( ( n1 = n3 )
& ( n3 = n3 ) )
| ( ( n1 = n3 )
& ( n4 = n3 ) )
| ( ( n1 = n3 )
& ( n5 = n3 ) )
| ( ( n2 = n3 )
& ( n4 = n3 ) )
| ( ( n2 = n3 )
& ( n5 = n3 ) )
| ( ( n2 = n3 )
& ( n3 = n3 ) )
| ( ( n2 = n3 )
& ( n4 = n3 ) )
| ( ( n2 = n3 )
& ( n5 = n3 ) )
| ( ( n3 = n3 )
& ( n3 = n3 ) )
| ( ( n3 = n3 )
& ( n4 = n3 ) )
| ( ( n3 = n3 )
& ( n5 = n3 ) )
| ( ( n3 = n3 )
& ( n4 = n3 ) )
| ( ( n3 = n3 )
& ( n5 = n3 ) )
| ( ( n4 = n3 )
& ( n4 = n3 ) )
| ( ( n4 = n3 )
& ( n5 = n3 ) )
| ( ( n4 = n3 )
& ( n5 = n3 ) )
| ( ( n5 = n3 )
& ( n5 = n3 ) )
| ( n0 != n3 )
| ~ leq(n0,n3)
| ~ leq(n0,n3)
| ~ leq(n3,n5) ) ),
inference(transitivity,[status(thm)],[25,24]) ).
tff(27,plain,
( ! [E: $i,F: $i] :
( ( n0 = a_select2(xinit_noise,n3) )
| ~ ( leq(n0,E)
& leq(n0,F)
& leq(E,n5)
& leq(F,n5) )
| ~ ( ~ ( ( n0 = E )
& ( n4 = F ) )
& ~ ( ( n0 = E )
& ( n5 = F ) )
& ~ ( ( n0 = F )
& ( n4 = E ) )
& ~ ( ( n0 = F )
& ( n5 = E ) )
& ~ ( ( n1 = E )
& ( n4 = F ) )
& ~ ( ( n1 = E )
& ( n5 = F ) )
& ~ ( ( n1 = F )
& ( n3 = E ) )
& ~ ( ( n1 = F )
& ( n4 = E ) )
& ~ ( ( n1 = F )
& ( n5 = E ) )
& ~ ( ( n2 = E )
& ( n4 = F ) )
& ~ ( ( n2 = E )
& ( n5 = F ) )
& ~ ( ( n2 = F )
& ( n3 = E ) )
& ~ ( ( n2 = F )
& ( n4 = E ) )
& ~ ( ( n2 = F )
& ( n5 = E ) )
& ~ ( ( n3 = E )
& ( n3 = F ) )
& ~ ( ( n3 = E )
& ( n4 = F ) )
& ~ ( ( n3 = E )
& ( n5 = F ) )
& ~ ( ( n3 = F )
& ( n4 = E ) )
& ~ ( ( n3 = F )
& ( n5 = E ) )
& ~ ( ( n4 = E )
& ( n4 = F ) )
& ~ ( ( n4 = E )
& ( n5 = F ) )
& ~ ( ( n4 = F )
& ( n5 = E ) )
& ~ ( ( n5 = E )
& ( n5 = F ) )
& ( n0 = F )
& ( n3 = E )
& ( n3 = F ) ) )
<=> $true ),
inference(transitivity,[status(thm)],[26,23]) ).
tff(28,plain,
^ [E: $i,F: $i] :
trans(monotonicity(trans(monotonicity(rewrite(( ( leq(n0,E)
& leq(n0,F)
& leq(E,n5) )
<=> ( leq(n0,E)
& leq(n0,F)
& leq(E,n5) ) )),
( ( leq(n0,E)
& leq(n0,F)
& leq(E,n5)
& leq(F,n5) )
<=> ( leq(n0,E)
& leq(n0,F)
& leq(E,n5)
& leq(F,n5) ) )),
rewrite(( ( leq(n0,E)
& leq(n0,F)
& leq(E,n5)
& leq(F,n5) )
<=> ( leq(n0,E)
& leq(n0,F)
& leq(E,n5)
& leq(F,n5) ) )),
( ( leq(n0,E)
& leq(n0,F)
& leq(E,n5)
& leq(F,n5) )
<=> ( leq(n0,E)
& leq(n0,F)
& leq(E,n5)
& leq(F,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(rewrite(( ( ~ ( ( n0 = E )
& ( n4 = F ) )
& ~ ( ( n0 = E )
& ( n5 = F ) )
& ~ ( ( n0 = F )
& ( n4 = E ) ) )
<=> ( ~ ( ( n0 = E )
& ( n4 = F ) )
& ~ ( ( n0 = E )
& ( n5 = F ) )
& ~ ( ( n0 = F )
& ( n4 = E ) ) ) )),
( ( ~ ( ( n0 = E )
& ( n4 = F ) )
& ~ ( ( n0 = E )
& ( n5 = F ) )
& ~ ( ( n0 = F )
& ( n4 = E ) )
& ~ ( ( n0 = F )
& ( n5 = E ) ) )
<=> ( ~ ( ( n0 = E )
& ( n4 = F ) )
& ~ ( ( n0 = E )
& ( n5 = F ) )
& ~ ( ( n0 = F )
& ( n4 = E ) )
& ~ ( ( n0 = F )
& ( n5 = E ) ) ) )),
rewrite(( ( ~ ( ( n0 = E )
& ( n4 = F ) )
& ~ ( ( n0 = E )
& ( n5 = F ) )
& ~ ( ( n0 = F )
& ( n4 = E ) )
& ~ ( ( n0 = F )
& ( n5 = E ) ) )
<=> ( ~ ( ( n0 = E )
& ( n4 = F ) )
& ~ ( ( n0 = E )
& ( n5 = F ) )
& ~ ( ( n0 = F )
& ( n4 = E ) )
& ~ ( ( n0 = F )
& ( n5 = E ) ) ) )),
( ( ~ ( ( n0 = E )
& ( n4 = F ) )
& ~ ( ( n0 = E )
& ( n5 = F ) )
& ~ ( ( n0 = F )
& ( n4 = E ) )
& ~ ( ( n0 = F )
& ( n5 = E ) ) )
<=> ( ~ ( ( n0 = E )
& ( n4 = F ) )
& ~ ( ( n0 = E )
& ( n5 = F ) )
& ~ ( ( n0 = F )
& ( n4 = E ) )
& ~ ( ( n0 = F )
& ( n5 = E ) ) ) )),
( ( ~ ( ( n0 = E )
& ( n4 = F ) )
& ~ ( ( n0 = E )
& ( n5 = F ) )
& ~ ( ( n0 = F )
& ( n4 = E ) )
& ~ ( ( n0 = F )
& ( n5 = E ) )
& ~ ( ( n1 = E )
& ( n4 = F ) ) )
<=> ( ~ ( ( n0 = E )
& ( n4 = F ) )
& ~ ( ( n0 = E )
& ( n5 = F ) )
& ~ ( ( n0 = F )
& ( n4 = E ) )
& ~ ( ( n0 = F )
& ( n5 = E ) )
& ~ ( ( n1 = E )
& ( n4 = F ) ) ) )),
rewrite(( ( ~ ( ( n0 = E )
& ( n4 = F ) )
& ~ ( ( n0 = E )
& ( n5 = F ) )
& ~ ( ( n0 = F )
& ( n4 = E ) )
& ~ ( ( n0 = F )
& ( n5 = E ) )
& ~ ( ( n1 = E )
& ( n4 = F ) ) )
<=> ( ~ ( ( n0 = E )
& ( n4 = F ) )
& ~ ( ( n0 = E )
& ( n5 = F ) )
& ~ ( ( n0 = F )
& ( n4 = E ) )
& ~ ( ( n0 = F )
& ( n5 = E ) )
& ~ ( ( n1 = E )
& ( n4 = F ) ) ) )),
( ( ~ ( ( n0 = E )
& ( n4 = F ) )
& ~ ( ( n0 = E )
& ( n5 = F ) )
& ~ ( ( n0 = F )
& ( n4 = E ) )
& ~ ( ( n0 = F )
& ( n5 = E ) )
& ~ ( ( n1 = E )
& ( n4 = F ) ) )
<=> ( ~ ( ( n0 = E )
& ( n4 = F ) )
& ~ ( ( n0 = E )
& ( n5 = F ) )
& ~ ( ( n0 = F )
& ( n4 = E ) )
& ~ ( ( n0 = F )
& ( n5 = E ) )
& ~ ( ( n1 = E )
& ( n4 = F ) ) ) )),
( ( ~ ( ( n0 = E )
& ( n4 = F ) )
& ~ ( ( n0 = E )
& ( n5 = F ) )
& ~ ( ( n0 = F )
& ( n4 = E ) )
& ~ ( ( n0 = F )
& ( n5 = E ) )
& ~ ( ( n1 = E )
& ( n4 = F ) )
& ~ ( ( n1 = E )
& ( n5 = F ) ) )
<=> ( ~ ( ( n0 = E )
& ( n4 = F ) )
& ~ ( ( n0 = E )
& ( n5 = F ) )
& ~ ( ( n0 = F )
& ( n4 = E ) )
& ~ ( ( n0 = F )
& ( n5 = E ) )
& ~ ( ( n1 = E )
& ( n4 = F ) )
& ~ ( ( n1 = E )
& ( n5 = F ) ) ) )),
rewrite(( ( ~ ( ( n0 = E )
& ( n4 = F ) )
& ~ ( ( n0 = E )
& ( n5 = F ) )
& ~ ( ( n0 = F )
& ( n4 = E ) )
& ~ ( ( n0 = F )
& ( n5 = E ) )
& ~ ( ( n1 = E )
& ( n4 = F ) )
& ~ ( ( n1 = E )
& ( n5 = F ) ) )
<=> ( ~ ( ( n0 = E )
& ( n4 = F ) )
& ~ ( ( n0 = E )
& ( n5 = F ) )
& ~ ( ( n0 = F )
& ( n4 = E ) )
& ~ ( ( n0 = F )
& ( n5 = E ) )
& ~ ( ( n1 = E )
& ( n4 = F ) )
& ~ ( ( n1 = E )
& ( n5 = F ) ) ) )),
( ( ~ ( ( n0 = E )
& ( n4 = F ) )
& ~ ( ( n0 = E )
& ( n5 = F ) )
& ~ ( ( n0 = F )
& ( n4 = E ) )
& ~ ( ( n0 = F )
& ( n5 = E ) )
& ~ ( ( n1 = E )
& ( n4 = F ) )
& ~ ( ( n1 = E )
& ( n5 = F ) ) )
<=> ( ~ ( ( n0 = E )
& ( n4 = F ) )
& ~ ( ( n0 = E )
& ( n5 = F ) )
& ~ ( ( n0 = F )
& ( n4 = E ) )
& ~ ( ( n0 = F )
& ( n5 = E ) )
& ~ ( ( n1 = E )
& ( n4 = F ) )
& ~ ( ( n1 = E )
& ( n5 = F ) ) ) )),
( ( ~ ( ( n0 = E )
& ( n4 = F ) )
& ~ ( ( n0 = E )
& ( n5 = F ) )
& ~ ( ( n0 = F )
& ( n4 = E ) )
& ~ ( ( n0 = F )
& ( n5 = E ) )
& ~ ( ( n1 = E )
& ( n4 = F ) )
& ~ ( ( n1 = E )
& ( n5 = F ) )
& ~ ( ( n1 = F )
& ( n3 = E ) ) )
<=> ( ~ ( ( n0 = E )
& ( n4 = F ) )
& ~ ( ( n0 = E )
& ( n5 = F ) )
& ~ ( ( n0 = F )
& ( n4 = E ) )
& ~ ( ( n0 = F )
& ( n5 = E ) )
& ~ ( ( n1 = E )
& ( n4 = F ) )
& ~ ( ( n1 = E )
& ( n5 = F ) )
& ~ ( ( n1 = F )
& ( n3 = E ) ) ) )),
rewrite(( ( ~ ( ( n0 = E )
& ( n4 = F ) )
& ~ ( ( n0 = E )
& ( n5 = F ) )
& ~ ( ( n0 = F )
& ( n4 = E ) )
& ~ ( ( n0 = F )
& ( n5 = E ) )
& ~ ( ( n1 = E )
& ( n4 = F ) )
& ~ ( ( n1 = E )
& ( n5 = F ) )
& ~ ( ( n1 = F )
& ( n3 = E ) ) )
<=> ( ~ ( ( n0 = E )
& ( n4 = F ) )
& ~ ( ( n0 = E )
& ( n5 = F ) )
& ~ ( ( n0 = F )
& ( n4 = E ) )
& ~ ( ( n0 = F )
& ( n5 = E ) )
& ~ ( ( n1 = E )
& ( n4 = F ) )
& ~ ( ( n1 = E )
& ( n5 = F ) )
& ~ ( ( n1 = F )
& ( n3 = E ) ) ) )),
( ( ~ ( ( n0 = E )
& ( n4 = F ) )
& ~ ( ( n0 = E )
& ( n5 = F ) )
& ~ ( ( n0 = F )
& ( n4 = E ) )
& ~ ( ( n0 = F )
& ( n5 = E ) )
& ~ ( ( n1 = E )
& ( n4 = F ) )
& ~ ( ( n1 = E )
& ( n5 = F ) )
& ~ ( ( n1 = F )
& ( n3 = E ) ) )
<=> ( ~ ( ( n0 = E )
& ( n4 = F ) )
& ~ ( ( n0 = E )
& ( n5 = F ) )
& ~ ( ( n0 = F )
& ( n4 = E ) )
& ~ ( ( n0 = F )
& ( n5 = E ) )
& ~ ( ( n1 = E )
& ( n4 = F ) )
& ~ ( ( n1 = E )
& ( n5 = F ) )
& ~ ( ( n1 = F )
& ( n3 = E ) ) ) )),
( ( ~ ( ( n0 = E )
& ( n4 = F ) )
& ~ ( ( n0 = E )
& ( n5 = F ) )
& ~ ( ( n0 = F )
& ( n4 = E ) )
& ~ ( ( n0 = F )
& ( n5 = E ) )
& ~ ( ( n1 = E )
& ( n4 = F ) )
& ~ ( ( n1 = E )
& ( n5 = F ) )
& ~ ( ( n1 = F )
& ( n3 = E ) )
& ~ ( ( n1 = F )
& ( n4 = E ) ) )
<=> ( ~ ( ( n0 = E )
& ( n4 = F ) )
& ~ ( ( n0 = E )
& ( n5 = F ) )
& ~ ( ( n0 = F )
& ( n4 = E ) )
& ~ ( ( n0 = F )
& ( n5 = E ) )
& ~ ( ( n1 = E )
& ( n4 = F ) )
& ~ ( ( n1 = E )
& ( n5 = F ) )
& ~ ( ( n1 = F )
& ( n3 = E ) )
& ~ ( ( n1 = F )
& ( n4 = E ) ) ) )),
rewrite(( ( ~ ( ( n0 = E )
& ( n4 = F ) )
& ~ ( ( n0 = E )
& ( n5 = F ) )
& ~ ( ( n0 = F )
& ( n4 = E ) )
& ~ ( ( n0 = F )
& ( n5 = E ) )
& ~ ( ( n1 = E )
& ( n4 = F ) )
& ~ ( ( n1 = E )
& ( n5 = F ) )
& ~ ( ( n1 = F )
& ( n3 = E ) )
& ~ ( ( n1 = F )
& ( n4 = E ) ) )
<=> ( ~ ( ( n0 = E )
& ( n4 = F ) )
& ~ ( ( n0 = E )
& ( n5 = F ) )
& ~ ( ( n0 = F )
& ( n4 = E ) )
& ~ ( ( n0 = F )
& ( n5 = E ) )
& ~ ( ( n1 = E )
& ( n4 = F ) )
& ~ ( ( n1 = E )
& ( n5 = F ) )
& ~ ( ( n1 = F )
& ( n3 = E ) )
& ~ ( ( n1 = F )
& ( n4 = E ) ) ) )),
( ( ~ ( ( n0 = E )
& ( n4 = F ) )
& ~ ( ( n0 = E )
& ( n5 = F ) )
& ~ ( ( n0 = F )
& ( n4 = E ) )
& ~ ( ( n0 = F )
& ( n5 = E ) )
& ~ ( ( n1 = E )
& ( n4 = F ) )
& ~ ( ( n1 = E )
& ( n5 = F ) )
& ~ ( ( n1 = F )
& ( n3 = E ) )
& ~ ( ( n1 = F )
& ( n4 = E ) ) )
<=> ( ~ ( ( n0 = E )
& ( n4 = F ) )
& ~ ( ( n0 = E )
& ( n5 = F ) )
& ~ ( ( n0 = F )
& ( n4 = E ) )
& ~ ( ( n0 = F )
& ( n5 = E ) )
& ~ ( ( n1 = E )
& ( n4 = F ) )
& ~ ( ( n1 = E )
& ( n5 = F ) )
& ~ ( ( n1 = F )
& ( n3 = E ) )
& ~ ( ( n1 = F )
& ( n4 = E ) ) ) )),
( ( ~ ( ( n0 = E )
& ( n4 = F ) )
& ~ ( ( n0 = E )
& ( n5 = F ) )
& ~ ( ( n0 = F )
& ( n4 = E ) )
& ~ ( ( n0 = F )
& ( n5 = E ) )
& ~ ( ( n1 = E )
& ( n4 = F ) )
& ~ ( ( n1 = E )
& ( n5 = F ) )
& ~ ( ( n1 = F )
& ( n3 = E ) )
& ~ ( ( n1 = F )
& ( n4 = E ) )
& ~ ( ( n1 = F )
& ( n5 = E ) ) )
<=> ( ~ ( ( n0 = E )
& ( n4 = F ) )
& ~ ( ( n0 = E )
& ( n5 = F ) )
& ~ ( ( n0 = F )
& ( n4 = E ) )
& ~ ( ( n0 = F )
& ( n5 = E ) )
& ~ ( ( n1 = E )
& ( n4 = F ) )
& ~ ( ( n1 = E )
& ( n5 = F ) )
& ~ ( ( n1 = F )
& ( n3 = E ) )
& ~ ( ( n1 = F )
& ( n4 = E ) )
& ~ ( ( n1 = F )
& ( n5 = E ) ) ) )),
rewrite(( ( ~ ( ( n0 = E )
& ( n4 = F ) )
& ~ ( ( n0 = E )
& ( n5 = F ) )
& ~ ( ( n0 = F )
& ( n4 = E ) )
& ~ ( ( n0 = F )
& ( n5 = E ) )
& ~ ( ( n1 = E )
& ( n4 = F ) )
& ~ ( ( n1 = E )
& ( n5 = F ) )
& ~ ( ( n1 = F )
& ( n3 = E ) )
& ~ ( ( n1 = F )
& ( n4 = E ) )
& ~ ( ( n1 = F )
& ( n5 = E ) ) )
<=> ( ~ ( ( n0 = E )
& ( n4 = F ) )
& ~ ( ( n0 = E )
& ( n5 = F ) )
& ~ ( ( n0 = F )
& ( n4 = E ) )
& ~ ( ( n0 = F )
& ( n5 = E ) )
& ~ ( ( n1 = E )
& ( n4 = F ) )
& ~ ( ( n1 = E )
& ( n5 = F ) )
& ~ ( ( n1 = F )
& ( n3 = E ) )
& ~ ( ( n1 = F )
& ( n4 = E ) )
& ~ ( ( n1 = F )
& ( n5 = E ) ) ) )),
( ( ~ ( ( n0 = E )
& ( n4 = F ) )
& ~ ( ( n0 = E )
& ( n5 = F ) )
& ~ ( ( n0 = F )
& ( n4 = E ) )
& ~ ( ( n0 = F )
& ( n5 = E ) )
& ~ ( ( n1 = E )
& ( n4 = F ) )
& ~ ( ( n1 = E )
& ( n5 = F ) )
& ~ ( ( n1 = F )
& ( n3 = E ) )
& ~ ( ( n1 = F )
& ( n4 = E ) )
& ~ ( ( n1 = F )
& ( n5 = E ) ) )
<=> ( ~ ( ( n0 = E )
& ( n4 = F ) )
& ~ ( ( n0 = E )
& ( n5 = F ) )
& ~ ( ( n0 = F )
& ( n4 = E ) )
& ~ ( ( n0 = F )
& ( n5 = E ) )
& ~ ( ( n1 = E )
& ( n4 = F ) )
& ~ ( ( n1 = E )
& ( n5 = F ) )
& ~ ( ( n1 = F )
& ( n3 = E ) )
& ~ ( ( n1 = F )
& ( n4 = E ) )
& ~ ( ( n1 = F )
& ( n5 = E ) ) ) )),
( ( ~ ( ( n0 = E )
& ( n4 = F ) )
& ~ ( ( n0 = E )
& ( n5 = F ) )
& ~ ( ( n0 = F )
& ( n4 = E ) )
& ~ ( ( n0 = F )
& ( n5 = E ) )
& ~ ( ( n1 = E )
& ( n4 = F ) )
& ~ ( ( n1 = E )
& ( n5 = F ) )
& ~ ( ( n1 = F )
& ( n3 = E ) )
& ~ ( ( n1 = F )
& ( n4 = E ) )
& ~ ( ( n1 = F )
& ( n5 = E ) )
& ~ ( ( n2 = E )
& ( n4 = F ) ) )
<=> ( ~ ( ( n0 = E )
& ( n4 = F ) )
& ~ ( ( n0 = E )
& ( n5 = F ) )
& ~ ( ( n0 = F )
& ( n4 = E ) )
& ~ ( ( n0 = F )
& ( n5 = E ) )
& ~ ( ( n1 = E )
& ( n4 = F ) )
& ~ ( ( n1 = E )
& ( n5 = F ) )
& ~ ( ( n1 = F )
& ( n3 = E ) )
& ~ ( ( n1 = F )
& ( n4 = E ) )
& ~ ( ( n1 = F )
& ( n5 = E ) )
& ~ ( ( n2 = E )
& ( n4 = F ) ) ) )),
rewrite(( ( ~ ( ( n0 = E )
& ( n4 = F ) )
& ~ ( ( n0 = E )
& ( n5 = F ) )
& ~ ( ( n0 = F )
& ( n4 = E ) )
& ~ ( ( n0 = F )
& ( n5 = E ) )
& ~ ( ( n1 = E )
& ( n4 = F ) )
& ~ ( ( n1 = E )
& ( n5 = F ) )
& ~ ( ( n1 = F )
& ( n3 = E ) )
& ~ ( ( n1 = F )
& ( n4 = E ) )
& ~ ( ( n1 = F )
& ( n5 = E ) )
& ~ ( ( n2 = E )
& ( n4 = F ) ) )
<=> ( ~ ( ( n0 = E )
& ( n4 = F ) )
& ~ ( ( n0 = E )
& ( n5 = F ) )
& ~ ( ( n0 = F )
& ( n4 = E ) )
& ~ ( ( n0 = F )
& ( n5 = E ) )
& ~ ( ( n1 = E )
& ( n4 = F ) )
& ~ ( ( n1 = E )
& ( n5 = F ) )
& ~ ( ( n1 = F )
& ( n3 = E ) )
& ~ ( ( n1 = F )
& ( n4 = E ) )
& ~ ( ( n1 = F )
& ( n5 = E ) )
& ~ ( ( n2 = E )
& ( n4 = F ) ) ) )),
( ( ~ ( ( n0 = E )
& ( n4 = F ) )
& ~ ( ( n0 = E )
& ( n5 = F ) )
& ~ ( ( n0 = F )
& ( n4 = E ) )
& ~ ( ( n0 = F )
& ( n5 = E ) )
& ~ ( ( n1 = E )
& ( n4 = F ) )
& ~ ( ( n1 = E )
& ( n5 = F ) )
& ~ ( ( n1 = F )
& ( n3 = E ) )
& ~ ( ( n1 = F )
& ( n4 = E ) )
& ~ ( ( n1 = F )
& ( n5 = E ) )
& ~ ( ( n2 = E )
& ( n4 = F ) ) )
<=> ( ~ ( ( n0 = E )
& ( n4 = F ) )
& ~ ( ( n0 = E )
& ( n5 = F ) )
& ~ ( ( n0 = F )
& ( n4 = E ) )
& ~ ( ( n0 = F )
& ( n5 = E ) )
& ~ ( ( n1 = E )
& ( n4 = F ) )
& ~ ( ( n1 = E )
& ( n5 = F ) )
& ~ ( ( n1 = F )
& ( n3 = E ) )
& ~ ( ( n1 = F )
& ( n4 = E ) )
& ~ ( ( n1 = F )
& ( n5 = E ) )
& ~ ( ( n2 = E )
& ( n4 = F ) ) ) )),
( ( ~ ( ( n0 = E )
& ( n4 = F ) )
& ~ ( ( n0 = E )
& ( n5 = F ) )
& ~ ( ( n0 = F )
& ( n4 = E ) )
& ~ ( ( n0 = F )
& ( n5 = E ) )
& ~ ( ( n1 = E )
& ( n4 = F ) )
& ~ ( ( n1 = E )
& ( n5 = F ) )
& ~ ( ( n1 = F )
& ( n3 = E ) )
& ~ ( ( n1 = F )
& ( n4 = E ) )
& ~ ( ( n1 = F )
& ( n5 = E ) )
& ~ ( ( n2 = E )
& ( n4 = F ) )
& ~ ( ( n2 = E )
& ( n5 = F ) ) )
<=> ( ~ ( ( n0 = E )
& ( n4 = F ) )
& ~ ( ( n0 = E )
& ( n5 = F ) )
& ~ ( ( n0 = F )
& ( n4 = E ) )
& ~ ( ( n0 = F )
& ( n5 = E ) )
& ~ ( ( n1 = E )
& ( n4 = F ) )
& ~ ( ( n1 = E )
& ( n5 = F ) )
& ~ ( ( n1 = F )
& ( n3 = E ) )
& ~ ( ( n1 = F )
& ( n4 = E ) )
& ~ ( ( n1 = F )
& ( n5 = E ) )
& ~ ( ( n2 = E )
& ( n4 = F ) )
& ~ ( ( n2 = E )
& ( n5 = F ) ) ) )),
rewrite(( ( ~ ( ( n0 = E )
& ( n4 = F ) )
& ~ ( ( n0 = E )
& ( n5 = F ) )
& ~ ( ( n0 = F )
& ( n4 = E ) )
& ~ ( ( n0 = F )
& ( n5 = E ) )
& ~ ( ( n1 = E )
& ( n4 = F ) )
& ~ ( ( n1 = E )
& ( n5 = F ) )
& ~ ( ( n1 = F )
& ( n3 = E ) )
& ~ ( ( n1 = F )
& ( n4 = E ) )
& ~ ( ( n1 = F )
& ( n5 = E ) )
& ~ ( ( n2 = E )
& ( n4 = F ) )
& ~ ( ( n2 = E )
& ( n5 = F ) ) )
<=> ( ~ ( ( n0 = E )
& ( n4 = F ) )
& ~ ( ( n0 = E )
& ( n5 = F ) )
& ~ ( ( n0 = F )
& ( n4 = E ) )
& ~ ( ( n0 = F )
& ( n5 = E ) )
& ~ ( ( n1 = E )
& ( n4 = F ) )
& ~ ( ( n1 = E )
& ( n5 = F ) )
& ~ ( ( n1 = F )
& ( n3 = E ) )
& ~ ( ( n1 = F )
& ( n4 = E ) )
& ~ ( ( n1 = F )
& ( n5 = E ) )
& ~ ( ( n2 = E )
& ( n4 = F ) )
& ~ ( ( n2 = E )
& ( n5 = F ) ) ) )),
( ( ~ ( ( n0 = E )
& ( n4 = F ) )
& ~ ( ( n0 = E )
& ( n5 = F ) )
& ~ ( ( n0 = F )
& ( n4 = E ) )
& ~ ( ( n0 = F )
& ( n5 = E ) )
& ~ ( ( n1 = E )
& ( n4 = F ) )
& ~ ( ( n1 = E )
& ( n5 = F ) )
& ~ ( ( n1 = F )
& ( n3 = E ) )
& ~ ( ( n1 = F )
& ( n4 = E ) )
& ~ ( ( n1 = F )
& ( n5 = E ) )
& ~ ( ( n2 = E )
& ( n4 = F ) )
& ~ ( ( n2 = E )
& ( n5 = F ) ) )
<=> ( ~ ( ( n0 = E )
& ( n4 = F ) )
& ~ ( ( n0 = E )
& ( n5 = F ) )
& ~ ( ( n0 = F )
& ( n4 = E ) )
& ~ ( ( n0 = F )
& ( n5 = E ) )
& ~ ( ( n1 = E )
& ( n4 = F ) )
& ~ ( ( n1 = E )
& ( n5 = F ) )
& ~ ( ( n1 = F )
& ( n3 = E ) )
& ~ ( ( n1 = F )
& ( n4 = E ) )
& ~ ( ( n1 = F )
& ( n5 = E ) )
& ~ ( ( n2 = E )
& ( n4 = F ) )
& ~ ( ( n2 = E )
& ( n5 = F ) ) ) )),
( ( ~ ( ( n0 = E )
& ( n4 = F ) )
& ~ ( ( n0 = E )
& ( n5 = F ) )
& ~ ( ( n0 = F )
& ( n4 = E ) )
& ~ ( ( n0 = F )
& ( n5 = E ) )
& ~ ( ( n1 = E )
& ( n4 = F ) )
& ~ ( ( n1 = E )
& ( n5 = F ) )
& ~ ( ( n1 = F )
& ( n3 = E ) )
& ~ ( ( n1 = F )
& ( n4 = E ) )
& ~ ( ( n1 = F )
& ( n5 = E ) )
& ~ ( ( n2 = E )
& ( n4 = F ) )
& ~ ( ( n2 = E )
& ( n5 = F ) )
& ~ ( ( n2 = F )
& ( n3 = E ) ) )
<=> ( ~ ( ( n0 = E )
& ( n4 = F ) )
& ~ ( ( n0 = E )
& ( n5 = F ) )
& ~ ( ( n0 = F )
& ( n4 = E ) )
& ~ ( ( n0 = F )
& ( n5 = E ) )
& ~ ( ( n1 = E )
& ( n4 = F ) )
& ~ ( ( n1 = E )
& ( n5 = F ) )
& ~ ( ( n1 = F )
& ( n3 = E ) )
& ~ ( ( n1 = F )
& ( n4 = E ) )
& ~ ( ( n1 = F )
& ( n5 = E ) )
& ~ ( ( n2 = E )
& ( n4 = F ) )
& ~ ( ( n2 = E )
& ( n5 = F ) )
& ~ ( ( n2 = F )
& ( n3 = E ) ) ) )),
rewrite(( ( ~ ( ( n0 = E )
& ( n4 = F ) )
& ~ ( ( n0 = E )
& ( n5 = F ) )
& ~ ( ( n0 = F )
& ( n4 = E ) )
& ~ ( ( n0 = F )
& ( n5 = E ) )
& ~ ( ( n1 = E )
& ( n4 = F ) )
& ~ ( ( n1 = E )
& ( n5 = F ) )
& ~ ( ( n1 = F )
& ( n3 = E ) )
& ~ ( ( n1 = F )
& ( n4 = E ) )
& ~ ( ( n1 = F )
& ( n5 = E ) )
& ~ ( ( n2 = E )
& ( n4 = F ) )
& ~ ( ( n2 = E )
& ( n5 = F ) )
& ~ ( ( n2 = F )
& ( n3 = E ) ) )
<=> ( ~ ( ( n0 = E )
& ( n4 = F ) )
& ~ ( ( n0 = E )
& ( n5 = F ) )
& ~ ( ( n0 = F )
& ( n4 = E ) )
& ~ ( ( n0 = F )
& ( n5 = E ) )
& ~ ( ( n1 = E )
& ( n4 = F ) )
& ~ ( ( n1 = E )
& ( n5 = F ) )
& ~ ( ( n1 = F )
& ( n3 = E ) )
& ~ ( ( n1 = F )
& ( n4 = E ) )
& ~ ( ( n1 = F )
& ( n5 = E ) )
& ~ ( ( n2 = E )
& ( n4 = F ) )
& ~ ( ( n2 = E )
& ( n5 = F ) )
& ~ ( ( n2 = F )
& ( n3 = E ) ) ) )),
( ( ~ ( ( n0 = E )
& ( n4 = F ) )
& ~ ( ( n0 = E )
& ( n5 = F ) )
& ~ ( ( n0 = F )
& ( n4 = E ) )
& ~ ( ( n0 = F )
& ( n5 = E ) )
& ~ ( ( n1 = E )
& ( n4 = F ) )
& ~ ( ( n1 = E )
& ( n5 = F ) )
& ~ ( ( n1 = F )
& ( n3 = E ) )
& ~ ( ( n1 = F )
& ( n4 = E ) )
& ~ ( ( n1 = F )
& ( n5 = E ) )
& ~ ( ( n2 = E )
& ( n4 = F ) )
& ~ ( ( n2 = E )
& ( n5 = F ) )
& ~ ( ( n2 = F )
& ( n3 = E ) ) )
<=> ( ~ ( ( n0 = E )
& ( n4 = F ) )
& ~ ( ( n0 = E )
& ( n5 = F ) )
& ~ ( ( n0 = F )
& ( n4 = E ) )
& ~ ( ( n0 = F )
& ( n5 = E ) )
& ~ ( ( n1 = E )
& ( n4 = F ) )
& ~ ( ( n1 = E )
& ( n5 = F ) )
& ~ ( ( n1 = F )
& ( n3 = E ) )
& ~ ( ( n1 = F )
& ( n4 = E ) )
& ~ ( ( n1 = F )
& ( n5 = E ) )
& ~ ( ( n2 = E )
& ( n4 = F ) )
& ~ ( ( n2 = E )
& ( n5 = F ) )
& ~ ( ( n2 = F )
& ( n3 = E ) ) ) )),
( ( ~ ( ( n0 = E )
& ( n4 = F ) )
& ~ ( ( n0 = E )
& ( n5 = F ) )
& ~ ( ( n0 = F )
& ( n4 = E ) )
& ~ ( ( n0 = F )
& ( n5 = E ) )
& ~ ( ( n1 = E )
& ( n4 = F ) )
& ~ ( ( n1 = E )
& ( n5 = F ) )
& ~ ( ( n1 = F )
& ( n3 = E ) )
& ~ ( ( n1 = F )
& ( n4 = E ) )
& ~ ( ( n1 = F )
& ( n5 = E ) )
& ~ ( ( n2 = E )
& ( n4 = F ) )
& ~ ( ( n2 = E )
& ( n5 = F ) )
& ~ ( ( n2 = F )
& ( n3 = E ) )
& ~ ( ( n2 = F )
& ( n4 = E ) ) )
<=> ( ~ ( ( n0 = E )
& ( n4 = F ) )
& ~ ( ( n0 = E )
& ( n5 = F ) )
& ~ ( ( n0 = F )
& ( n4 = E ) )
& ~ ( ( n0 = F )
& ( n5 = E ) )
& ~ ( ( n1 = E )
& ( n4 = F ) )
& ~ ( ( n1 = E )
& ( n5 = F ) )
& ~ ( ( n1 = F )
& ( n3 = E ) )
& ~ ( ( n1 = F )
& ( n4 = E ) )
& ~ ( ( n1 = F )
& ( n5 = E ) )
& ~ ( ( n2 = E )
& ( n4 = F ) )
& ~ ( ( n2 = E )
& ( n5 = F ) )
& ~ ( ( n2 = F )
& ( n3 = E ) )
& ~ ( ( n2 = F )
& ( n4 = E ) ) ) )),
rewrite(( ( ~ ( ( n0 = E )
& ( n4 = F ) )
& ~ ( ( n0 = E )
& ( n5 = F ) )
& ~ ( ( n0 = F )
& ( n4 = E ) )
& ~ ( ( n0 = F )
& ( n5 = E ) )
& ~ ( ( n1 = E )
& ( n4 = F ) )
& ~ ( ( n1 = E )
& ( n5 = F ) )
& ~ ( ( n1 = F )
& ( n3 = E ) )
& ~ ( ( n1 = F )
& ( n4 = E ) )
& ~ ( ( n1 = F )
& ( n5 = E ) )
& ~ ( ( n2 = E )
& ( n4 = F ) )
& ~ ( ( n2 = E )
& ( n5 = F ) )
& ~ ( ( n2 = F )
& ( n3 = E ) )
& ~ ( ( n2 = F )
& ( n4 = E ) ) )
<=> ( ~ ( ( n0 = E )
& ( n4 = F ) )
& ~ ( ( n0 = E )
& ( n5 = F ) )
& ~ ( ( n0 = F )
& ( n4 = E ) )
& ~ ( ( n0 = F )
& ( n5 = E ) )
& ~ ( ( n1 = E )
& ( n4 = F ) )
& ~ ( ( n1 = E )
& ( n5 = F ) )
& ~ ( ( n1 = F )
& ( n3 = E ) )
& ~ ( ( n1 = F )
& ( n4 = E ) )
& ~ ( ( n1 = F )
& ( n5 = E ) )
& ~ ( ( n2 = E )
& ( n4 = F ) )
& ~ ( ( n2 = E )
& ( n5 = F ) )
& ~ ( ( n2 = F )
& ( n3 = E ) )
& ~ ( ( n2 = F )
& ( n4 = E ) ) ) )),
( ( ~ ( ( n0 = E )
& ( n4 = F ) )
& ~ ( ( n0 = E )
& ( n5 = F ) )
& ~ ( ( n0 = F )
& ( n4 = E ) )
& ~ ( ( n0 = F )
& ( n5 = E ) )
& ~ ( ( n1 = E )
& ( n4 = F ) )
& ~ ( ( n1 = E )
& ( n5 = F ) )
& ~ ( ( n1 = F )
& ( n3 = E ) )
& ~ ( ( n1 = F )
& ( n4 = E ) )
& ~ ( ( n1 = F )
& ( n5 = E ) )
& ~ ( ( n2 = E )
& ( n4 = F ) )
& ~ ( ( n2 = E )
& ( n5 = F ) )
& ~ ( ( n2 = F )
& ( n3 = E ) )
& ~ ( ( n2 = F )
& ( n4 = E ) ) )
<=> ( ~ ( ( n0 = E )
& ( n4 = F ) )
& ~ ( ( n0 = E )
& ( n5 = F ) )
& ~ ( ( n0 = F )
& ( n4 = E ) )
& ~ ( ( n0 = F )
& ( n5 = E ) )
& ~ ( ( n1 = E )
& ( n4 = F ) )
& ~ ( ( n1 = E )
& ( n5 = F ) )
& ~ ( ( n1 = F )
& ( n3 = E ) )
& ~ ( ( n1 = F )
& ( n4 = E ) )
& ~ ( ( n1 = F )
& ( n5 = E ) )
& ~ ( ( n2 = E )
& ( n4 = F ) )
& ~ ( ( n2 = E )
& ( n5 = F ) )
& ~ ( ( n2 = F )
& ( n3 = E ) )
& ~ ( ( n2 = F )
& ( n4 = E ) ) ) )),
( ( ~ ( ( n0 = E )
& ( n4 = F ) )
& ~ ( ( n0 = E )
& ( n5 = F ) )
& ~ ( ( n0 = F )
& ( n4 = E ) )
& ~ ( ( n0 = F )
& ( n5 = E ) )
& ~ ( ( n1 = E )
& ( n4 = F ) )
& ~ ( ( n1 = E )
& ( n5 = F ) )
& ~ ( ( n1 = F )
& ( n3 = E ) )
& ~ ( ( n1 = F )
& ( n4 = E ) )
& ~ ( ( n1 = F )
& ( n5 = E ) )
& ~ ( ( n2 = E )
& ( n4 = F ) )
& ~ ( ( n2 = E )
& ( n5 = F ) )
& ~ ( ( n2 = F )
& ( n3 = E ) )
& ~ ( ( n2 = F )
& ( n4 = E ) )
& ~ ( ( n2 = F )
& ( n5 = E ) ) )
<=> ( ~ ( ( n0 = E )
& ( n4 = F ) )
& ~ ( ( n0 = E )
& ( n5 = F ) )
& ~ ( ( n0 = F )
& ( n4 = E ) )
& ~ ( ( n0 = F )
& ( n5 = E ) )
& ~ ( ( n1 = E )
& ( n4 = F ) )
& ~ ( ( n1 = E )
& ( n5 = F ) )
& ~ ( ( n1 = F )
& ( n3 = E ) )
& ~ ( ( n1 = F )
& ( n4 = E ) )
& ~ ( ( n1 = F )
& ( n5 = E ) )
& ~ ( ( n2 = E )
& ( n4 = F ) )
& ~ ( ( n2 = E )
& ( n5 = F ) )
& ~ ( ( n2 = F )
& ( n3 = E ) )
& ~ ( ( n2 = F )
& ( n4 = E ) )
& ~ ( ( n2 = F )
& ( n5 = E ) ) ) )),
rewrite(( ( ~ ( ( n0 = E )
& ( n4 = F ) )
& ~ ( ( n0 = E )
& ( n5 = F ) )
& ~ ( ( n0 = F )
& ( n4 = E ) )
& ~ ( ( n0 = F )
& ( n5 = E ) )
& ~ ( ( n1 = E )
& ( n4 = F ) )
& ~ ( ( n1 = E )
& ( n5 = F ) )
& ~ ( ( n1 = F )
& ( n3 = E ) )
& ~ ( ( n1 = F )
& ( n4 = E ) )
& ~ ( ( n1 = F )
& ( n5 = E ) )
& ~ ( ( n2 = E )
& ( n4 = F ) )
& ~ ( ( n2 = E )
& ( n5 = F ) )
& ~ ( ( n2 = F )
& ( n3 = E ) )
& ~ ( ( n2 = F )
& ( n4 = E ) )
& ~ ( ( n2 = F )
& ( n5 = E ) ) )
<=> ( ~ ( ( n0 = E )
& ( n4 = F ) )
& ~ ( ( n0 = E )
& ( n5 = F ) )
& ~ ( ( n0 = F )
& ( n4 = E ) )
& ~ ( ( n0 = F )
& ( n5 = E ) )
& ~ ( ( n1 = E )
& ( n4 = F ) )
& ~ ( ( n1 = E )
& ( n5 = F ) )
& ~ ( ( n1 = F )
& ( n3 = E ) )
& ~ ( ( n1 = F )
& ( n4 = E ) )
& ~ ( ( n1 = F )
& ( n5 = E ) )
& ~ ( ( n2 = E )
& ( n4 = F ) )
& ~ ( ( n2 = E )
& ( n5 = F ) )
& ~ ( ( n2 = F )
& ( n3 = E ) )
& ~ ( ( n2 = F )
& ( n4 = E ) )
& ~ ( ( n2 = F )
& ( n5 = E ) ) ) )),
( ( ~ ( ( n0 = E )
& ( n4 = F ) )
& ~ ( ( n0 = E )
& ( n5 = F ) )
& ~ ( ( n0 = F )
& ( n4 = E ) )
& ~ ( ( n0 = F )
& ( n5 = E ) )
& ~ ( ( n1 = E )
& ( n4 = F ) )
& ~ ( ( n1 = E )
& ( n5 = F ) )
& ~ ( ( n1 = F )
& ( n3 = E ) )
& ~ ( ( n1 = F )
& ( n4 = E ) )
& ~ ( ( n1 = F )
& ( n5 = E ) )
& ~ ( ( n2 = E )
& ( n4 = F ) )
& ~ ( ( n2 = E )
& ( n5 = F ) )
& ~ ( ( n2 = F )
& ( n3 = E ) )
& ~ ( ( n2 = F )
& ( n4 = E ) )
& ~ ( ( n2 = F )
& ( n5 = E ) ) )
<=> ( ~ ( ( n0 = E )
& ( n4 = F ) )
& ~ ( ( n0 = E )
& ( n5 = F ) )
& ~ ( ( n0 = F )
& ( n4 = E ) )
& ~ ( ( n0 = F )
& ( n5 = E ) )
& ~ ( ( n1 = E )
& ( n4 = F ) )
& ~ ( ( n1 = E )
& ( n5 = F ) )
& ~ ( ( n1 = F )
& ( n3 = E ) )
& ~ ( ( n1 = F )
& ( n4 = E ) )
& ~ ( ( n1 = F )
& ( n5 = E ) )
& ~ ( ( n2 = E )
& ( n4 = F ) )
& ~ ( ( n2 = E )
& ( n5 = F ) )
& ~ ( ( n2 = F )
& ( n3 = E ) )
& ~ ( ( n2 = F )
& ( n4 = E ) )
& ~ ( ( n2 = F )
& ( n5 = E ) ) ) )),
( ( ~ ( ( n0 = E )
& ( n4 = F ) )
& ~ ( ( n0 = E )
& ( n5 = F ) )
& ~ ( ( n0 = F )
& ( n4 = E ) )
& ~ ( ( n0 = F )
& ( n5 = E ) )
& ~ ( ( n1 = E )
& ( n4 = F ) )
& ~ ( ( n1 = E )
& ( n5 = F ) )
& ~ ( ( n1 = F )
& ( n3 = E ) )
& ~ ( ( n1 = F )
& ( n4 = E ) )
& ~ ( ( n1 = F )
& ( n5 = E ) )
& ~ ( ( n2 = E )
& ( n4 = F ) )
& ~ ( ( n2 = E )
& ( n5 = F ) )
& ~ ( ( n2 = F )
& ( n3 = E ) )
& ~ ( ( n2 = F )
& ( n4 = E ) )
& ~ ( ( n2 = F )
& ( n5 = E ) )
& ~ ( ( n3 = E )
& ( n3 = F ) ) )
<=> ( ~ ( ( n0 = E )
& ( n4 = F ) )
& ~ ( ( n0 = E )
& ( n5 = F ) )
& ~ ( ( n0 = F )
& ( n4 = E ) )
& ~ ( ( n0 = F )
& ( n5 = E ) )
& ~ ( ( n1 = E )
& ( n4 = F ) )
& ~ ( ( n1 = E )
& ( n5 = F ) )
& ~ ( ( n1 = F )
& ( n3 = E ) )
& ~ ( ( n1 = F )
& ( n4 = E ) )
& ~ ( ( n1 = F )
& ( n5 = E ) )
& ~ ( ( n2 = E )
& ( n4 = F ) )
& ~ ( ( n2 = E )
& ( n5 = F ) )
& ~ ( ( n2 = F )
& ( n3 = E ) )
& ~ ( ( n2 = F )
& ( n4 = E ) )
& ~ ( ( n2 = F )
& ( n5 = E ) )
& ~ ( ( n3 = E )
& ( n3 = F ) ) ) )),
rewrite(( ( ~ ( ( n0 = E )
& ( n4 = F ) )
& ~ ( ( n0 = E )
& ( n5 = F ) )
& ~ ( ( n0 = F )
& ( n4 = E ) )
& ~ ( ( n0 = F )
& ( n5 = E ) )
& ~ ( ( n1 = E )
& ( n4 = F ) )
& ~ ( ( n1 = E )
& ( n5 = F ) )
& ~ ( ( n1 = F )
& ( n3 = E ) )
& ~ ( ( n1 = F )
& ( n4 = E ) )
& ~ ( ( n1 = F )
& ( n5 = E ) )
& ~ ( ( n2 = E )
& ( n4 = F ) )
& ~ ( ( n2 = E )
& ( n5 = F ) )
& ~ ( ( n2 = F )
& ( n3 = E ) )
& ~ ( ( n2 = F )
& ( n4 = E ) )
& ~ ( ( n2 = F )
& ( n5 = E ) )
& ~ ( ( n3 = E )
& ( n3 = F ) ) )
<=> ( ~ ( ( n0 = E )
& ( n4 = F ) )
& ~ ( ( n0 = E )
& ( n5 = F ) )
& ~ ( ( n0 = F )
& ( n4 = E ) )
& ~ ( ( n0 = F )
& ( n5 = E ) )
& ~ ( ( n1 = E )
& ( n4 = F ) )
& ~ ( ( n1 = E )
& ( n5 = F ) )
& ~ ( ( n1 = F )
& ( n3 = E ) )
& ~ ( ( n1 = F )
& ( n4 = E ) )
& ~ ( ( n1 = F )
& ( n5 = E ) )
& ~ ( ( n2 = E )
& ( n4 = F ) )
& ~ ( ( n2 = E )
& ( n5 = F ) )
& ~ ( ( n2 = F )
& ( n3 = E ) )
& ~ ( ( n2 = F )
& ( n4 = E ) )
& ~ ( ( n2 = F )
& ( n5 = E ) )
& ~ ( ( n3 = E )
& ( n3 = F ) ) ) )),
( ( ~ ( ( n0 = E )
& ( n4 = F ) )
& ~ ( ( n0 = E )
& ( n5 = F ) )
& ~ ( ( n0 = F )
& ( n4 = E ) )
& ~ ( ( n0 = F )
& ( n5 = E ) )
& ~ ( ( n1 = E )
& ( n4 = F ) )
& ~ ( ( n1 = E )
& ( n5 = F ) )
& ~ ( ( n1 = F )
& ( n3 = E ) )
& ~ ( ( n1 = F )
& ( n4 = E ) )
& ~ ( ( n1 = F )
& ( n5 = E ) )
& ~ ( ( n2 = E )
& ( n4 = F ) )
& ~ ( ( n2 = E )
& ( n5 = F ) )
& ~ ( ( n2 = F )
& ( n3 = E ) )
& ~ ( ( n2 = F )
& ( n4 = E ) )
& ~ ( ( n2 = F )
& ( n5 = E ) )
& ~ ( ( n3 = E )
& ( n3 = F ) ) )
<=> ( ~ ( ( n0 = E )
& ( n4 = F ) )
& ~ ( ( n0 = E )
& ( n5 = F ) )
& ~ ( ( n0 = F )
& ( n4 = E ) )
& ~ ( ( n0 = F )
& ( n5 = E ) )
& ~ ( ( n1 = E )
& ( n4 = F ) )
& ~ ( ( n1 = E )
& ( n5 = F ) )
& ~ ( ( n1 = F )
& ( n3 = E ) )
& ~ ( ( n1 = F )
& ( n4 = E ) )
& ~ ( ( n1 = F )
& ( n5 = E ) )
& ~ ( ( n2 = E )
& ( n4 = F ) )
& ~ ( ( n2 = E )
& ( n5 = F ) )
& ~ ( ( n2 = F )
& ( n3 = E ) )
& ~ ( ( n2 = F )
& ( n4 = E ) )
& ~ ( ( n2 = F )
& ( n5 = E ) )
& ~ ( ( n3 = E )
& ( n3 = F ) ) ) )),
( ( ~ ( ( n0 = E )
& ( n4 = F ) )
& ~ ( ( n0 = E )
& ( n5 = F ) )
& ~ ( ( n0 = F )
& ( n4 = E ) )
& ~ ( ( n0 = F )
& ( n5 = E ) )
& ~ ( ( n1 = E )
& ( n4 = F ) )
& ~ ( ( n1 = E )
& ( n5 = F ) )
& ~ ( ( n1 = F )
& ( n3 = E ) )
& ~ ( ( n1 = F )
& ( n4 = E ) )
& ~ ( ( n1 = F )
& ( n5 = E ) )
& ~ ( ( n2 = E )
& ( n4 = F ) )
& ~ ( ( n2 = E )
& ( n5 = F ) )
& ~ ( ( n2 = F )
& ( n3 = E ) )
& ~ ( ( n2 = F )
& ( n4 = E ) )
& ~ ( ( n2 = F )
& ( n5 = E ) )
& ~ ( ( n3 = E )
& ( n3 = F ) )
& ~ ( ( n3 = E )
& ( n4 = F ) ) )
<=> ( ~ ( ( n0 = E )
& ( n4 = F ) )
& ~ ( ( n0 = E )
& ( n5 = F ) )
& ~ ( ( n0 = F )
& ( n4 = E ) )
& ~ ( ( n0 = F )
& ( n5 = E ) )
& ~ ( ( n1 = E )
& ( n4 = F ) )
& ~ ( ( n1 = E )
& ( n5 = F ) )
& ~ ( ( n1 = F )
& ( n3 = E ) )
& ~ ( ( n1 = F )
& ( n4 = E ) )
& ~ ( ( n1 = F )
& ( n5 = E ) )
& ~ ( ( n2 = E )
& ( n4 = F ) )
& ~ ( ( n2 = E )
& ( n5 = F ) )
& ~ ( ( n2 = F )
& ( n3 = E ) )
& ~ ( ( n2 = F )
& ( n4 = E ) )
& ~ ( ( n2 = F )
& ( n5 = E ) )
& ~ ( ( n3 = E )
& ( n3 = F ) )
& ~ ( ( n3 = E )
& ( n4 = F ) ) ) )),
rewrite(( ( ~ ( ( n0 = E )
& ( n4 = F ) )
& ~ ( ( n0 = E )
& ( n5 = F ) )
& ~ ( ( n0 = F )
& ( n4 = E ) )
& ~ ( ( n0 = F )
& ( n5 = E ) )
& ~ ( ( n1 = E )
& ( n4 = F ) )
& ~ ( ( n1 = E )
& ( n5 = F ) )
& ~ ( ( n1 = F )
& ( n3 = E ) )
& ~ ( ( n1 = F )
& ( n4 = E ) )
& ~ ( ( n1 = F )
& ( n5 = E ) )
& ~ ( ( n2 = E )
& ( n4 = F ) )
& ~ ( ( n2 = E )
& ( n5 = F ) )
& ~ ( ( n2 = F )
& ( n3 = E ) )
& ~ ( ( n2 = F )
& ( n4 = E ) )
& ~ ( ( n2 = F )
& ( n5 = E ) )
& ~ ( ( n3 = E )
& ( n3 = F ) )
& ~ ( ( n3 = E )
& ( n4 = F ) ) )
<=> ( ~ ( ( n0 = E )
& ( n4 = F ) )
& ~ ( ( n0 = E )
& ( n5 = F ) )
& ~ ( ( n0 = F )
& ( n4 = E ) )
& ~ ( ( n0 = F )
& ( n5 = E ) )
& ~ ( ( n1 = E )
& ( n4 = F ) )
& ~ ( ( n1 = E )
& ( n5 = F ) )
& ~ ( ( n1 = F )
& ( n3 = E ) )
& ~ ( ( n1 = F )
& ( n4 = E ) )
& ~ ( ( n1 = F )
& ( n5 = E ) )
& ~ ( ( n2 = E )
& ( n4 = F ) )
& ~ ( ( n2 = E )
& ( n5 = F ) )
& ~ ( ( n2 = F )
& ( n3 = E ) )
& ~ ( ( n2 = F )
& ( n4 = E ) )
& ~ ( ( n2 = F )
& ( n5 = E ) )
& ~ ( ( n3 = E )
& ( n3 = F ) )
& ~ ( ( n3 = E )
& ( n4 = F ) ) ) )),
( ( ~ ( ( n0 = E )
& ( n4 = F ) )
& ~ ( ( n0 = E )
& ( n5 = F ) )
& ~ ( ( n0 = F )
& ( n4 = E ) )
& ~ ( ( n0 = F )
& ( n5 = E ) )
& ~ ( ( n1 = E )
& ( n4 = F ) )
& ~ ( ( n1 = E )
& ( n5 = F ) )
& ~ ( ( n1 = F )
& ( n3 = E ) )
& ~ ( ( n1 = F )
& ( n4 = E ) )
& ~ ( ( n1 = F )
& ( n5 = E ) )
& ~ ( ( n2 = E )
& ( n4 = F ) )
& ~ ( ( n2 = E )
& ( n5 = F ) )
& ~ ( ( n2 = F )
& ( n3 = E ) )
& ~ ( ( n2 = F )
& ( n4 = E ) )
& ~ ( ( n2 = F )
& ( n5 = E ) )
& ~ ( ( n3 = E )
& ( n3 = F ) )
& ~ ( ( n3 = E )
& ( n4 = F ) ) )
<=> ( ~ ( ( n0 = E )
& ( n4 = F ) )
& ~ ( ( n0 = E )
& ( n5 = F ) )
& ~ ( ( n0 = F )
& ( n4 = E ) )
& ~ ( ( n0 = F )
& ( n5 = E ) )
& ~ ( ( n1 = E )
& ( n4 = F ) )
& ~ ( ( n1 = E )
& ( n5 = F ) )
& ~ ( ( n1 = F )
& ( n3 = E ) )
& ~ ( ( n1 = F )
& ( n4 = E ) )
& ~ ( ( n1 = F )
& ( n5 = E ) )
& ~ ( ( n2 = E )
& ( n4 = F ) )
& ~ ( ( n2 = E )
& ( n5 = F ) )
& ~ ( ( n2 = F )
& ( n3 = E ) )
& ~ ( ( n2 = F )
& ( n4 = E ) )
& ~ ( ( n2 = F )
& ( n5 = E ) )
& ~ ( ( n3 = E )
& ( n3 = F ) )
& ~ ( ( n3 = E )
& ( n4 = F ) ) ) )),
( ( ~ ( ( n0 = E )
& ( n4 = F ) )
& ~ ( ( n0 = E )
& ( n5 = F ) )
& ~ ( ( n0 = F )
& ( n4 = E ) )
& ~ ( ( n0 = F )
& ( n5 = E ) )
& ~ ( ( n1 = E )
& ( n4 = F ) )
& ~ ( ( n1 = E )
& ( n5 = F ) )
& ~ ( ( n1 = F )
& ( n3 = E ) )
& ~ ( ( n1 = F )
& ( n4 = E ) )
& ~ ( ( n1 = F )
& ( n5 = E ) )
& ~ ( ( n2 = E )
& ( n4 = F ) )
& ~ ( ( n2 = E )
& ( n5 = F ) )
& ~ ( ( n2 = F )
& ( n3 = E ) )
& ~ ( ( n2 = F )
& ( n4 = E ) )
& ~ ( ( n2 = F )
& ( n5 = E ) )
& ~ ( ( n3 = E )
& ( n3 = F ) )
& ~ ( ( n3 = E )
& ( n4 = F ) )
& ~ ( ( n3 = E )
& ( n5 = F ) ) )
<=> ( ~ ( ( n0 = E )
& ( n4 = F ) )
& ~ ( ( n0 = E )
& ( n5 = F ) )
& ~ ( ( n0 = F )
& ( n4 = E ) )
& ~ ( ( n0 = F )
& ( n5 = E ) )
& ~ ( ( n1 = E )
& ( n4 = F ) )
& ~ ( ( n1 = E )
& ( n5 = F ) )
& ~ ( ( n1 = F )
& ( n3 = E ) )
& ~ ( ( n1 = F )
& ( n4 = E ) )
& ~ ( ( n1 = F )
& ( n5 = E ) )
& ~ ( ( n2 = E )
& ( n4 = F ) )
& ~ ( ( n2 = E )
& ( n5 = F ) )
& ~ ( ( n2 = F )
& ( n3 = E ) )
& ~ ( ( n2 = F )
& ( n4 = E ) )
& ~ ( ( n2 = F )
& ( n5 = E ) )
& ~ ( ( n3 = E )
& ( n3 = F ) )
& ~ ( ( n3 = E )
& ( n4 = F ) )
& ~ ( ( n3 = E )
& ( n5 = F ) ) ) )),
rewrite(( ( ~ ( ( n0 = E )
& ( n4 = F ) )
& ~ ( ( n0 = E )
& ( n5 = F ) )
& ~ ( ( n0 = F )
& ( n4 = E ) )
& ~ ( ( n0 = F )
& ( n5 = E ) )
& ~ ( ( n1 = E )
& ( n4 = F ) )
& ~ ( ( n1 = E )
& ( n5 = F ) )
& ~ ( ( n1 = F )
& ( n3 = E ) )
& ~ ( ( n1 = F )
& ( n4 = E ) )
& ~ ( ( n1 = F )
& ( n5 = E ) )
& ~ ( ( n2 = E )
& ( n4 = F ) )
& ~ ( ( n2 = E )
& ( n5 = F ) )
& ~ ( ( n2 = F )
& ( n3 = E ) )
& ~ ( ( n2 = F )
& ( n4 = E ) )
& ~ ( ( n2 = F )
& ( n5 = E ) )
& ~ ( ( n3 = E )
& ( n3 = F ) )
& ~ ( ( n3 = E )
& ( n4 = F ) )
& ~ ( ( n3 = E )
& ( n5 = F ) ) )
<=> ( ~ ( ( n0 = E )
& ( n4 = F ) )
& ~ ( ( n0 = E )
& ( n5 = F ) )
& ~ ( ( n0 = F )
& ( n4 = E ) )
& ~ ( ( n0 = F )
& ( n5 = E ) )
& ~ ( ( n1 = E )
& ( n4 = F ) )
& ~ ( ( n1 = E )
& ( n5 = F ) )
& ~ ( ( n1 = F )
& ( n3 = E ) )
& ~ ( ( n1 = F )
& ( n4 = E ) )
& ~ ( ( n1 = F )
& ( n5 = E ) )
& ~ ( ( n2 = E )
& ( n4 = F ) )
& ~ ( ( n2 = E )
& ( n5 = F ) )
& ~ ( ( n2 = F )
& ( n3 = E ) )
& ~ ( ( n2 = F )
& ( n4 = E ) )
& ~ ( ( n2 = F )
& ( n5 = E ) )
& ~ ( ( n3 = E )
& ( n3 = F ) )
& ~ ( ( n3 = E )
& ( n4 = F ) )
& ~ ( ( n3 = E )
& ( n5 = F ) ) ) )),
( ( ~ ( ( n0 = E )
& ( n4 = F ) )
& ~ ( ( n0 = E )
& ( n5 = F ) )
& ~ ( ( n0 = F )
& ( n4 = E ) )
& ~ ( ( n0 = F )
& ( n5 = E ) )
& ~ ( ( n1 = E )
& ( n4 = F ) )
& ~ ( ( n1 = E )
& ( n5 = F ) )
& ~ ( ( n1 = F )
& ( n3 = E ) )
& ~ ( ( n1 = F )
& ( n4 = E ) )
& ~ ( ( n1 = F )
& ( n5 = E ) )
& ~ ( ( n2 = E )
& ( n4 = F ) )
& ~ ( ( n2 = E )
& ( n5 = F ) )
& ~ ( ( n2 = F )
& ( n3 = E ) )
& ~ ( ( n2 = F )
& ( n4 = E ) )
& ~ ( ( n2 = F )
& ( n5 = E ) )
& ~ ( ( n3 = E )
& ( n3 = F ) )
& ~ ( ( n3 = E )
& ( n4 = F ) )
& ~ ( ( n3 = E )
& ( n5 = F ) ) )
<=> ( ~ ( ( n0 = E )
& ( n4 = F ) )
& ~ ( ( n0 = E )
& ( n5 = F ) )
& ~ ( ( n0 = F )
& ( n4 = E ) )
& ~ ( ( n0 = F )
& ( n5 = E ) )
& ~ ( ( n1 = E )
& ( n4 = F ) )
& ~ ( ( n1 = E )
& ( n5 = F ) )
& ~ ( ( n1 = F )
& ( n3 = E ) )
& ~ ( ( n1 = F )
& ( n4 = E ) )
& ~ ( ( n1 = F )
& ( n5 = E ) )
& ~ ( ( n2 = E )
& ( n4 = F ) )
& ~ ( ( n2 = E )
& ( n5 = F ) )
& ~ ( ( n2 = F )
& ( n3 = E ) )
& ~ ( ( n2 = F )
& ( n4 = E ) )
& ~ ( ( n2 = F )
& ( n5 = E ) )
& ~ ( ( n3 = E )
& ( n3 = F ) )
& ~ ( ( n3 = E )
& ( n4 = F ) )
& ~ ( ( n3 = E )
& ( n5 = F ) ) ) )),
( ( ~ ( ( n0 = E )
& ( n4 = F ) )
& ~ ( ( n0 = E )
& ( n5 = F ) )
& ~ ( ( n0 = F )
& ( n4 = E ) )
& ~ ( ( n0 = F )
& ( n5 = E ) )
& ~ ( ( n1 = E )
& ( n4 = F ) )
& ~ ( ( n1 = E )
& ( n5 = F ) )
& ~ ( ( n1 = F )
& ( n3 = E ) )
& ~ ( ( n1 = F )
& ( n4 = E ) )
& ~ ( ( n1 = F )
& ( n5 = E ) )
& ~ ( ( n2 = E )
& ( n4 = F ) )
& ~ ( ( n2 = E )
& ( n5 = F ) )
& ~ ( ( n2 = F )
& ( n3 = E ) )
& ~ ( ( n2 = F )
& ( n4 = E ) )
& ~ ( ( n2 = F )
& ( n5 = E ) )
& ~ ( ( n3 = E )
& ( n3 = F ) )
& ~ ( ( n3 = E )
& ( n4 = F ) )
& ~ ( ( n3 = E )
& ( n5 = F ) )
& ~ ( ( n3 = F )
& ( n4 = E ) ) )
<=> ( ~ ( ( n0 = E )
& ( n4 = F ) )
& ~ ( ( n0 = E )
& ( n5 = F ) )
& ~ ( ( n0 = F )
& ( n4 = E ) )
& ~ ( ( n0 = F )
& ( n5 = E ) )
& ~ ( ( n1 = E )
& ( n4 = F ) )
& ~ ( ( n1 = E )
& ( n5 = F ) )
& ~ ( ( n1 = F )
& ( n3 = E ) )
& ~ ( ( n1 = F )
& ( n4 = E ) )
& ~ ( ( n1 = F )
& ( n5 = E ) )
& ~ ( ( n2 = E )
& ( n4 = F ) )
& ~ ( ( n2 = E )
& ( n5 = F ) )
& ~ ( ( n2 = F )
& ( n3 = E ) )
& ~ ( ( n2 = F )
& ( n4 = E ) )
& ~ ( ( n2 = F )
& ( n5 = E ) )
& ~ ( ( n3 = E )
& ( n3 = F ) )
& ~ ( ( n3 = E )
& ( n4 = F ) )
& ~ ( ( n3 = E )
& ( n5 = F ) )
& ~ ( ( n3 = F )
& ( n4 = E ) ) ) )),
rewrite(( ( ~ ( ( n0 = E )
& ( n4 = F ) )
& ~ ( ( n0 = E )
& ( n5 = F ) )
& ~ ( ( n0 = F )
& ( n4 = E ) )
& ~ ( ( n0 = F )
& ( n5 = E ) )
& ~ ( ( n1 = E )
& ( n4 = F ) )
& ~ ( ( n1 = E )
& ( n5 = F ) )
& ~ ( ( n1 = F )
& ( n3 = E ) )
& ~ ( ( n1 = F )
& ( n4 = E ) )
& ~ ( ( n1 = F )
& ( n5 = E ) )
& ~ ( ( n2 = E )
& ( n4 = F ) )
& ~ ( ( n2 = E )
& ( n5 = F ) )
& ~ ( ( n2 = F )
& ( n3 = E ) )
& ~ ( ( n2 = F )
& ( n4 = E ) )
& ~ ( ( n2 = F )
& ( n5 = E ) )
& ~ ( ( n3 = E )
& ( n3 = F ) )
& ~ ( ( n3 = E )
& ( n4 = F ) )
& ~ ( ( n3 = E )
& ( n5 = F ) )
& ~ ( ( n3 = F )
& ( n4 = E ) ) )
<=> ( ~ ( ( n0 = E )
& ( n4 = F ) )
& ~ ( ( n0 = E )
& ( n5 = F ) )
& ~ ( ( n0 = F )
& ( n4 = E ) )
& ~ ( ( n0 = F )
& ( n5 = E ) )
& ~ ( ( n1 = E )
& ( n4 = F ) )
& ~ ( ( n1 = E )
& ( n5 = F ) )
& ~ ( ( n1 = F )
& ( n3 = E ) )
& ~ ( ( n1 = F )
& ( n4 = E ) )
& ~ ( ( n1 = F )
& ( n5 = E ) )
& ~ ( ( n2 = E )
& ( n4 = F ) )
& ~ ( ( n2 = E )
& ( n5 = F ) )
& ~ ( ( n2 = F )
& ( n3 = E ) )
& ~ ( ( n2 = F )
& ( n4 = E ) )
& ~ ( ( n2 = F )
& ( n5 = E ) )
& ~ ( ( n3 = E )
& ( n3 = F ) )
& ~ ( ( n3 = E )
& ( n4 = F ) )
& ~ ( ( n3 = E )
& ( n5 = F ) )
& ~ ( ( n3 = F )
& ( n4 = E ) ) ) )),
( ( ~ ( ( n0 = E )
& ( n4 = F ) )
& ~ ( ( n0 = E )
& ( n5 = F ) )
& ~ ( ( n0 = F )
& ( n4 = E ) )
& ~ ( ( n0 = F )
& ( n5 = E ) )
& ~ ( ( n1 = E )
& ( n4 = F ) )
& ~ ( ( n1 = E )
& ( n5 = F ) )
& ~ ( ( n1 = F )
& ( n3 = E ) )
& ~ ( ( n1 = F )
& ( n4 = E ) )
& ~ ( ( n1 = F )
& ( n5 = E ) )
& ~ ( ( n2 = E )
& ( n4 = F ) )
& ~ ( ( n2 = E )
& ( n5 = F ) )
& ~ ( ( n2 = F )
& ( n3 = E ) )
& ~ ( ( n2 = F )
& ( n4 = E ) )
& ~ ( ( n2 = F )
& ( n5 = E ) )
& ~ ( ( n3 = E )
& ( n3 = F ) )
& ~ ( ( n3 = E )
& ( n4 = F ) )
& ~ ( ( n3 = E )
& ( n5 = F ) )
& ~ ( ( n3 = F )
& ( n4 = E ) ) )
<=> ( ~ ( ( n0 = E )
& ( n4 = F ) )
& ~ ( ( n0 = E )
& ( n5 = F ) )
& ~ ( ( n0 = F )
& ( n4 = E ) )
& ~ ( ( n0 = F )
& ( n5 = E ) )
& ~ ( ( n1 = E )
& ( n4 = F ) )
& ~ ( ( n1 = E )
& ( n5 = F ) )
& ~ ( ( n1 = F )
& ( n3 = E ) )
& ~ ( ( n1 = F )
& ( n4 = E ) )
& ~ ( ( n1 = F )
& ( n5 = E ) )
& ~ ( ( n2 = E )
& ( n4 = F ) )
& ~ ( ( n2 = E )
& ( n5 = F ) )
& ~ ( ( n2 = F )
& ( n3 = E ) )
& ~ ( ( n2 = F )
& ( n4 = E ) )
& ~ ( ( n2 = F )
& ( n5 = E ) )
& ~ ( ( n3 = E )
& ( n3 = F ) )
& ~ ( ( n3 = E )
& ( n4 = F ) )
& ~ ( ( n3 = E )
& ( n5 = F ) )
& ~ ( ( n3 = F )
& ( n4 = E ) ) ) )),
( ( ~ ( ( n0 = E )
& ( n4 = F ) )
& ~ ( ( n0 = E )
& ( n5 = F ) )
& ~ ( ( n0 = F )
& ( n4 = E ) )
& ~ ( ( n0 = F )
& ( n5 = E ) )
& ~ ( ( n1 = E )
& ( n4 = F ) )
& ~ ( ( n1 = E )
& ( n5 = F ) )
& ~ ( ( n1 = F )
& ( n3 = E ) )
& ~ ( ( n1 = F )
& ( n4 = E ) )
& ~ ( ( n1 = F )
& ( n5 = E ) )
& ~ ( ( n2 = E )
& ( n4 = F ) )
& ~ ( ( n2 = E )
& ( n5 = F ) )
& ~ ( ( n2 = F )
& ( n3 = E ) )
& ~ ( ( n2 = F )
& ( n4 = E ) )
& ~ ( ( n2 = F )
& ( n5 = E ) )
& ~ ( ( n3 = E )
& ( n3 = F ) )
& ~ ( ( n3 = E )
& ( n4 = F ) )
& ~ ( ( n3 = E )
& ( n5 = F ) )
& ~ ( ( n3 = F )
& ( n4 = E ) )
& ~ ( ( n3 = F )
& ( n5 = E ) ) )
<=> ( ~ ( ( n0 = E )
& ( n4 = F ) )
& ~ ( ( n0 = E )
& ( n5 = F ) )
& ~ ( ( n0 = F )
& ( n4 = E ) )
& ~ ( ( n0 = F )
& ( n5 = E ) )
& ~ ( ( n1 = E )
& ( n4 = F ) )
& ~ ( ( n1 = E )
& ( n5 = F ) )
& ~ ( ( n1 = F )
& ( n3 = E ) )
& ~ ( ( n1 = F )
& ( n4 = E ) )
& ~ ( ( n1 = F )
& ( n5 = E ) )
& ~ ( ( n2 = E )
& ( n4 = F ) )
& ~ ( ( n2 = E )
& ( n5 = F ) )
& ~ ( ( n2 = F )
& ( n3 = E ) )
& ~ ( ( n2 = F )
& ( n4 = E ) )
& ~ ( ( n2 = F )
& ( n5 = E ) )
& ~ ( ( n3 = E )
& ( n3 = F ) )
& ~ ( ( n3 = E )
& ( n4 = F ) )
& ~ ( ( n3 = E )
& ( n5 = F ) )
& ~ ( ( n3 = F )
& ( n4 = E ) )
& ~ ( ( n3 = F )
& ( n5 = E ) ) ) )),
rewrite(( ( ~ ( ( n0 = E )
& ( n4 = F ) )
& ~ ( ( n0 = E )
& ( n5 = F ) )
& ~ ( ( n0 = F )
& ( n4 = E ) )
& ~ ( ( n0 = F )
& ( n5 = E ) )
& ~ ( ( n1 = E )
& ( n4 = F ) )
& ~ ( ( n1 = E )
& ( n5 = F ) )
& ~ ( ( n1 = F )
& ( n3 = E ) )
& ~ ( ( n1 = F )
& ( n4 = E ) )
& ~ ( ( n1 = F )
& ( n5 = E ) )
& ~ ( ( n2 = E )
& ( n4 = F ) )
& ~ ( ( n2 = E )
& ( n5 = F ) )
& ~ ( ( n2 = F )
& ( n3 = E ) )
& ~ ( ( n2 = F )
& ( n4 = E ) )
& ~ ( ( n2 = F )
& ( n5 = E ) )
& ~ ( ( n3 = E )
& ( n3 = F ) )
& ~ ( ( n3 = E )
& ( n4 = F ) )
& ~ ( ( n3 = E )
& ( n5 = F ) )
& ~ ( ( n3 = F )
& ( n4 = E ) )
& ~ ( ( n3 = F )
& ( n5 = E ) ) )
<=> ( ~ ( ( n0 = E )
& ( n4 = F ) )
& ~ ( ( n0 = E )
& ( n5 = F ) )
& ~ ( ( n0 = F )
& ( n4 = E ) )
& ~ ( ( n0 = F )
& ( n5 = E ) )
& ~ ( ( n1 = E )
& ( n4 = F ) )
& ~ ( ( n1 = E )
& ( n5 = F ) )
& ~ ( ( n1 = F )
& ( n3 = E ) )
& ~ ( ( n1 = F )
& ( n4 = E ) )
& ~ ( ( n1 = F )
& ( n5 = E ) )
& ~ ( ( n2 = E )
& ( n4 = F ) )
& ~ ( ( n2 = E )
& ( n5 = F ) )
& ~ ( ( n2 = F )
& ( n3 = E ) )
& ~ ( ( n2 = F )
& ( n4 = E ) )
& ~ ( ( n2 = F )
& ( n5 = E ) )
& ~ ( ( n3 = E )
& ( n3 = F ) )
& ~ ( ( n3 = E )
& ( n4 = F ) )
& ~ ( ( n3 = E )
& ( n5 = F ) )
& ~ ( ( n3 = F )
& ( n4 = E ) )
& ~ ( ( n3 = F )
& ( n5 = E ) ) ) )),
( ( ~ ( ( n0 = E )
& ( n4 = F ) )
& ~ ( ( n0 = E )
& ( n5 = F ) )
& ~ ( ( n0 = F )
& ( n4 = E ) )
& ~ ( ( n0 = F )
& ( n5 = E ) )
& ~ ( ( n1 = E )
& ( n4 = F ) )
& ~ ( ( n1 = E )
& ( n5 = F ) )
& ~ ( ( n1 = F )
& ( n3 = E ) )
& ~ ( ( n1 = F )
& ( n4 = E ) )
& ~ ( ( n1 = F )
& ( n5 = E ) )
& ~ ( ( n2 = E )
& ( n4 = F ) )
& ~ ( ( n2 = E )
& ( n5 = F ) )
& ~ ( ( n2 = F )
& ( n3 = E ) )
& ~ ( ( n2 = F )
& ( n4 = E ) )
& ~ ( ( n2 = F )
& ( n5 = E ) )
& ~ ( ( n3 = E )
& ( n3 = F ) )
& ~ ( ( n3 = E )
& ( n4 = F ) )
& ~ ( ( n3 = E )
& ( n5 = F ) )
& ~ ( ( n3 = F )
& ( n4 = E ) )
& ~ ( ( n3 = F )
& ( n5 = E ) ) )
<=> ( ~ ( ( n0 = E )
& ( n4 = F ) )
& ~ ( ( n0 = E )
& ( n5 = F ) )
& ~ ( ( n0 = F )
& ( n4 = E ) )
& ~ ( ( n0 = F )
& ( n5 = E ) )
& ~ ( ( n1 = E )
& ( n4 = F ) )
& ~ ( ( n1 = E )
& ( n5 = F ) )
& ~ ( ( n1 = F )
& ( n3 = E ) )
& ~ ( ( n1 = F )
& ( n4 = E ) )
& ~ ( ( n1 = F )
& ( n5 = E ) )
& ~ ( ( n2 = E )
& ( n4 = F ) )
& ~ ( ( n2 = E )
& ( n5 = F ) )
& ~ ( ( n2 = F )
& ( n3 = E ) )
& ~ ( ( n2 = F )
& ( n4 = E ) )
& ~ ( ( n2 = F )
& ( n5 = E ) )
& ~ ( ( n3 = E )
& ( n3 = F ) )
& ~ ( ( n3 = E )
& ( n4 = F ) )
& ~ ( ( n3 = E )
& ( n5 = F ) )
& ~ ( ( n3 = F )
& ( n4 = E ) )
& ~ ( ( n3 = F )
& ( n5 = E ) ) ) )),
( ( ~ ( ( n0 = E )
& ( n4 = F ) )
& ~ ( ( n0 = E )
& ( n5 = F ) )
& ~ ( ( n0 = F )
& ( n4 = E ) )
& ~ ( ( n0 = F )
& ( n5 = E ) )
& ~ ( ( n1 = E )
& ( n4 = F ) )
& ~ ( ( n1 = E )
& ( n5 = F ) )
& ~ ( ( n1 = F )
& ( n3 = E ) )
& ~ ( ( n1 = F )
& ( n4 = E ) )
& ~ ( ( n1 = F )
& ( n5 = E ) )
& ~ ( ( n2 = E )
& ( n4 = F ) )
& ~ ( ( n2 = E )
& ( n5 = F ) )
& ~ ( ( n2 = F )
& ( n3 = E ) )
& ~ ( ( n2 = F )
& ( n4 = E ) )
& ~ ( ( n2 = F )
& ( n5 = E ) )
& ~ ( ( n3 = E )
& ( n3 = F ) )
& ~ ( ( n3 = E )
& ( n4 = F ) )
& ~ ( ( n3 = E )
& ( n5 = F ) )
& ~ ( ( n3 = F )
& ( n4 = E ) )
& ~ ( ( n3 = F )
& ( n5 = E ) )
& ~ ( ( n4 = E )
& ( n4 = F ) ) )
<=> ( ~ ( ( n0 = E )
& ( n4 = F ) )
& ~ ( ( n0 = E )
& ( n5 = F ) )
& ~ ( ( n0 = F )
& ( n4 = E ) )
& ~ ( ( n0 = F )
& ( n5 = E ) )
& ~ ( ( n1 = E )
& ( n4 = F ) )
& ~ ( ( n1 = E )
& ( n5 = F ) )
& ~ ( ( n1 = F )
& ( n3 = E ) )
& ~ ( ( n1 = F )
& ( n4 = E ) )
& ~ ( ( n1 = F )
& ( n5 = E ) )
& ~ ( ( n2 = E )
& ( n4 = F ) )
& ~ ( ( n2 = E )
& ( n5 = F ) )
& ~ ( ( n2 = F )
& ( n3 = E ) )
& ~ ( ( n2 = F )
& ( n4 = E ) )
& ~ ( ( n2 = F )
& ( n5 = E ) )
& ~ ( ( n3 = E )
& ( n3 = F ) )
& ~ ( ( n3 = E )
& ( n4 = F ) )
& ~ ( ( n3 = E )
& ( n5 = F ) )
& ~ ( ( n3 = F )
& ( n4 = E ) )
& ~ ( ( n3 = F )
& ( n5 = E ) )
& ~ ( ( n4 = E )
& ( n4 = F ) ) ) )),
rewrite(( ( ~ ( ( n0 = E )
& ( n4 = F ) )
& ~ ( ( n0 = E )
& ( n5 = F ) )
& ~ ( ( n0 = F )
& ( n4 = E ) )
& ~ ( ( n0 = F )
& ( n5 = E ) )
& ~ ( ( n1 = E )
& ( n4 = F ) )
& ~ ( ( n1 = E )
& ( n5 = F ) )
& ~ ( ( n1 = F )
& ( n3 = E ) )
& ~ ( ( n1 = F )
& ( n4 = E ) )
& ~ ( ( n1 = F )
& ( n5 = E ) )
& ~ ( ( n2 = E )
& ( n4 = F ) )
& ~ ( ( n2 = E )
& ( n5 = F ) )
& ~ ( ( n2 = F )
& ( n3 = E ) )
& ~ ( ( n2 = F )
& ( n4 = E ) )
& ~ ( ( n2 = F )
& ( n5 = E ) )
& ~ ( ( n3 = E )
& ( n3 = F ) )
& ~ ( ( n3 = E )
& ( n4 = F ) )
& ~ ( ( n3 = E )
& ( n5 = F ) )
& ~ ( ( n3 = F )
& ( n4 = E ) )
& ~ ( ( n3 = F )
& ( n5 = E ) )
& ~ ( ( n4 = E )
& ( n4 = F ) ) )
<=> ( ~ ( ( n0 = E )
& ( n4 = F ) )
& ~ ( ( n0 = E )
& ( n5 = F ) )
& ~ ( ( n0 = F )
& ( n4 = E ) )
& ~ ( ( n0 = F )
& ( n5 = E ) )
& ~ ( ( n1 = E )
& ( n4 = F ) )
& ~ ( ( n1 = E )
& ( n5 = F ) )
& ~ ( ( n1 = F )
& ( n3 = E ) )
& ~ ( ( n1 = F )
& ( n4 = E ) )
& ~ ( ( n1 = F )
& ( n5 = E ) )
& ~ ( ( n2 = E )
& ( n4 = F ) )
& ~ ( ( n2 = E )
& ( n5 = F ) )
& ~ ( ( n2 = F )
& ( n3 = E ) )
& ~ ( ( n2 = F )
& ( n4 = E ) )
& ~ ( ( n2 = F )
& ( n5 = E ) )
& ~ ( ( n3 = E )
& ( n3 = F ) )
& ~ ( ( n3 = E )
& ( n4 = F ) )
& ~ ( ( n3 = E )
& ( n5 = F ) )
& ~ ( ( n3 = F )
& ( n4 = E ) )
& ~ ( ( n3 = F )
& ( n5 = E ) )
& ~ ( ( n4 = E )
& ( n4 = F ) ) ) )),
( ( ~ ( ( n0 = E )
& ( n4 = F ) )
& ~ ( ( n0 = E )
& ( n5 = F ) )
& ~ ( ( n0 = F )
& ( n4 = E ) )
& ~ ( ( n0 = F )
& ( n5 = E ) )
& ~ ( ( n1 = E )
& ( n4 = F ) )
& ~ ( ( n1 = E )
& ( n5 = F ) )
& ~ ( ( n1 = F )
& ( n3 = E ) )
& ~ ( ( n1 = F )
& ( n4 = E ) )
& ~ ( ( n1 = F )
& ( n5 = E ) )
& ~ ( ( n2 = E )
& ( n4 = F ) )
& ~ ( ( n2 = E )
& ( n5 = F ) )
& ~ ( ( n2 = F )
& ( n3 = E ) )
& ~ ( ( n2 = F )
& ( n4 = E ) )
& ~ ( ( n2 = F )
& ( n5 = E ) )
& ~ ( ( n3 = E )
& ( n3 = F ) )
& ~ ( ( n3 = E )
& ( n4 = F ) )
& ~ ( ( n3 = E )
& ( n5 = F ) )
& ~ ( ( n3 = F )
& ( n4 = E ) )
& ~ ( ( n3 = F )
& ( n5 = E ) )
& ~ ( ( n4 = E )
& ( n4 = F ) ) )
<=> ( ~ ( ( n0 = E )
& ( n4 = F ) )
& ~ ( ( n0 = E )
& ( n5 = F ) )
& ~ ( ( n0 = F )
& ( n4 = E ) )
& ~ ( ( n0 = F )
& ( n5 = E ) )
& ~ ( ( n1 = E )
& ( n4 = F ) )
& ~ ( ( n1 = E )
& ( n5 = F ) )
& ~ ( ( n1 = F )
& ( n3 = E ) )
& ~ ( ( n1 = F )
& ( n4 = E ) )
& ~ ( ( n1 = F )
& ( n5 = E ) )
& ~ ( ( n2 = E )
& ( n4 = F ) )
& ~ ( ( n2 = E )
& ( n5 = F ) )
& ~ ( ( n2 = F )
& ( n3 = E ) )
& ~ ( ( n2 = F )
& ( n4 = E ) )
& ~ ( ( n2 = F )
& ( n5 = E ) )
& ~ ( ( n3 = E )
& ( n3 = F ) )
& ~ ( ( n3 = E )
& ( n4 = F ) )
& ~ ( ( n3 = E )
& ( n5 = F ) )
& ~ ( ( n3 = F )
& ( n4 = E ) )
& ~ ( ( n3 = F )
& ( n5 = E ) )
& ~ ( ( n4 = E )
& ( n4 = F ) ) ) )),
( ( ~ ( ( n0 = E )
& ( n4 = F ) )
& ~ ( ( n0 = E )
& ( n5 = F ) )
& ~ ( ( n0 = F )
& ( n4 = E ) )
& ~ ( ( n0 = F )
& ( n5 = E ) )
& ~ ( ( n1 = E )
& ( n4 = F ) )
& ~ ( ( n1 = E )
& ( n5 = F ) )
& ~ ( ( n1 = F )
& ( n3 = E ) )
& ~ ( ( n1 = F )
& ( n4 = E ) )
& ~ ( ( n1 = F )
& ( n5 = E ) )
& ~ ( ( n2 = E )
& ( n4 = F ) )
& ~ ( ( n2 = E )
& ( n5 = F ) )
& ~ ( ( n2 = F )
& ( n3 = E ) )
& ~ ( ( n2 = F )
& ( n4 = E ) )
& ~ ( ( n2 = F )
& ( n5 = E ) )
& ~ ( ( n3 = E )
& ( n3 = F ) )
& ~ ( ( n3 = E )
& ( n4 = F ) )
& ~ ( ( n3 = E )
& ( n5 = F ) )
& ~ ( ( n3 = F )
& ( n4 = E ) )
& ~ ( ( n3 = F )
& ( n5 = E ) )
& ~ ( ( n4 = E )
& ( n4 = F ) )
& ~ ( ( n4 = E )
& ( n5 = F ) ) )
<=> ( ~ ( ( n0 = E )
& ( n4 = F ) )
& ~ ( ( n0 = E )
& ( n5 = F ) )
& ~ ( ( n0 = F )
& ( n4 = E ) )
& ~ ( ( n0 = F )
& ( n5 = E ) )
& ~ ( ( n1 = E )
& ( n4 = F ) )
& ~ ( ( n1 = E )
& ( n5 = F ) )
& ~ ( ( n1 = F )
& ( n3 = E ) )
& ~ ( ( n1 = F )
& ( n4 = E ) )
& ~ ( ( n1 = F )
& ( n5 = E ) )
& ~ ( ( n2 = E )
& ( n4 = F ) )
& ~ ( ( n2 = E )
& ( n5 = F ) )
& ~ ( ( n2 = F )
& ( n3 = E ) )
& ~ ( ( n2 = F )
& ( n4 = E ) )
& ~ ( ( n2 = F )
& ( n5 = E ) )
& ~ ( ( n3 = E )
& ( n3 = F ) )
& ~ ( ( n3 = E )
& ( n4 = F ) )
& ~ ( ( n3 = E )
& ( n5 = F ) )
& ~ ( ( n3 = F )
& ( n4 = E ) )
& ~ ( ( n3 = F )
& ( n5 = E ) )
& ~ ( ( n4 = E )
& ( n4 = F ) )
& ~ ( ( n4 = E )
& ( n5 = F ) ) ) )),
rewrite(( ( ~ ( ( n0 = E )
& ( n4 = F ) )
& ~ ( ( n0 = E )
& ( n5 = F ) )
& ~ ( ( n0 = F )
& ( n4 = E ) )
& ~ ( ( n0 = F )
& ( n5 = E ) )
& ~ ( ( n1 = E )
& ( n4 = F ) )
& ~ ( ( n1 = E )
& ( n5 = F ) )
& ~ ( ( n1 = F )
& ( n3 = E ) )
& ~ ( ( n1 = F )
& ( n4 = E ) )
& ~ ( ( n1 = F )
& ( n5 = E ) )
& ~ ( ( n2 = E )
& ( n4 = F ) )
& ~ ( ( n2 = E )
& ( n5 = F ) )
& ~ ( ( n2 = F )
& ( n3 = E ) )
& ~ ( ( n2 = F )
& ( n4 = E ) )
& ~ ( ( n2 = F )
& ( n5 = E ) )
& ~ ( ( n3 = E )
& ( n3 = F ) )
& ~ ( ( n3 = E )
& ( n4 = F ) )
& ~ ( ( n3 = E )
& ( n5 = F ) )
& ~ ( ( n3 = F )
& ( n4 = E ) )
& ~ ( ( n3 = F )
& ( n5 = E ) )
& ~ ( ( n4 = E )
& ( n4 = F ) )
& ~ ( ( n4 = E )
& ( n5 = F ) ) )
<=> ( ~ ( ( n0 = E )
& ( n4 = F ) )
& ~ ( ( n0 = E )
& ( n5 = F ) )
& ~ ( ( n0 = F )
& ( n4 = E ) )
& ~ ( ( n0 = F )
& ( n5 = E ) )
& ~ ( ( n1 = E )
& ( n4 = F ) )
& ~ ( ( n1 = E )
& ( n5 = F ) )
& ~ ( ( n1 = F )
& ( n3 = E ) )
& ~ ( ( n1 = F )
& ( n4 = E ) )
& ~ ( ( n1 = F )
& ( n5 = E ) )
& ~ ( ( n2 = E )
& ( n4 = F ) )
& ~ ( ( n2 = E )
& ( n5 = F ) )
& ~ ( ( n2 = F )
& ( n3 = E ) )
& ~ ( ( n2 = F )
& ( n4 = E ) )
& ~ ( ( n2 = F )
& ( n5 = E ) )
& ~ ( ( n3 = E )
& ( n3 = F ) )
& ~ ( ( n3 = E )
& ( n4 = F ) )
& ~ ( ( n3 = E )
& ( n5 = F ) )
& ~ ( ( n3 = F )
& ( n4 = E ) )
& ~ ( ( n3 = F )
& ( n5 = E ) )
& ~ ( ( n4 = E )
& ( n4 = F ) )
& ~ ( ( n4 = E )
& ( n5 = F ) ) ) )),
( ( ~ ( ( n0 = E )
& ( n4 = F ) )
& ~ ( ( n0 = E )
& ( n5 = F ) )
& ~ ( ( n0 = F )
& ( n4 = E ) )
& ~ ( ( n0 = F )
& ( n5 = E ) )
& ~ ( ( n1 = E )
& ( n4 = F ) )
& ~ ( ( n1 = E )
& ( n5 = F ) )
& ~ ( ( n1 = F )
& ( n3 = E ) )
& ~ ( ( n1 = F )
& ( n4 = E ) )
& ~ ( ( n1 = F )
& ( n5 = E ) )
& ~ ( ( n2 = E )
& ( n4 = F ) )
& ~ ( ( n2 = E )
& ( n5 = F ) )
& ~ ( ( n2 = F )
& ( n3 = E ) )
& ~ ( ( n2 = F )
& ( n4 = E ) )
& ~ ( ( n2 = F )
& ( n5 = E ) )
& ~ ( ( n3 = E )
& ( n3 = F ) )
& ~ ( ( n3 = E )
& ( n4 = F ) )
& ~ ( ( n3 = E )
& ( n5 = F ) )
& ~ ( ( n3 = F )
& ( n4 = E ) )
& ~ ( ( n3 = F )
& ( n5 = E ) )
& ~ ( ( n4 = E )
& ( n4 = F ) )
& ~ ( ( n4 = E )
& ( n5 = F ) ) )
<=> ( ~ ( ( n0 = E )
& ( n4 = F ) )
& ~ ( ( n0 = E )
& ( n5 = F ) )
& ~ ( ( n0 = F )
& ( n4 = E ) )
& ~ ( ( n0 = F )
& ( n5 = E ) )
& ~ ( ( n1 = E )
& ( n4 = F ) )
& ~ ( ( n1 = E )
& ( n5 = F ) )
& ~ ( ( n1 = F )
& ( n3 = E ) )
& ~ ( ( n1 = F )
& ( n4 = E ) )
& ~ ( ( n1 = F )
& ( n5 = E ) )
& ~ ( ( n2 = E )
& ( n4 = F ) )
& ~ ( ( n2 = E )
& ( n5 = F ) )
& ~ ( ( n2 = F )
& ( n3 = E ) )
& ~ ( ( n2 = F )
& ( n4 = E ) )
& ~ ( ( n2 = F )
& ( n5 = E ) )
& ~ ( ( n3 = E )
& ( n3 = F ) )
& ~ ( ( n3 = E )
& ( n4 = F ) )
& ~ ( ( n3 = E )
& ( n5 = F ) )
& ~ ( ( n3 = F )
& ( n4 = E ) )
& ~ ( ( n3 = F )
& ( n5 = E ) )
& ~ ( ( n4 = E )
& ( n4 = F ) )
& ~ ( ( n4 = E )
& ( n5 = F ) ) ) )),
( ( ~ ( ( n0 = E )
& ( n4 = F ) )
& ~ ( ( n0 = E )
& ( n5 = F ) )
& ~ ( ( n0 = F )
& ( n4 = E ) )
& ~ ( ( n0 = F )
& ( n5 = E ) )
& ~ ( ( n1 = E )
& ( n4 = F ) )
& ~ ( ( n1 = E )
& ( n5 = F ) )
& ~ ( ( n1 = F )
& ( n3 = E ) )
& ~ ( ( n1 = F )
& ( n4 = E ) )
& ~ ( ( n1 = F )
& ( n5 = E ) )
& ~ ( ( n2 = E )
& ( n4 = F ) )
& ~ ( ( n2 = E )
& ( n5 = F ) )
& ~ ( ( n2 = F )
& ( n3 = E ) )
& ~ ( ( n2 = F )
& ( n4 = E ) )
& ~ ( ( n2 = F )
& ( n5 = E ) )
& ~ ( ( n3 = E )
& ( n3 = F ) )
& ~ ( ( n3 = E )
& ( n4 = F ) )
& ~ ( ( n3 = E )
& ( n5 = F ) )
& ~ ( ( n3 = F )
& ( n4 = E ) )
& ~ ( ( n3 = F )
& ( n5 = E ) )
& ~ ( ( n4 = E )
& ( n4 = F ) )
& ~ ( ( n4 = E )
& ( n5 = F ) )
& ~ ( ( n4 = F )
& ( n5 = E ) ) )
<=> ( ~ ( ( n0 = E )
& ( n4 = F ) )
& ~ ( ( n0 = E )
& ( n5 = F ) )
& ~ ( ( n0 = F )
& ( n4 = E ) )
& ~ ( ( n0 = F )
& ( n5 = E ) )
& ~ ( ( n1 = E )
& ( n4 = F ) )
& ~ ( ( n1 = E )
& ( n5 = F ) )
& ~ ( ( n1 = F )
& ( n3 = E ) )
& ~ ( ( n1 = F )
& ( n4 = E ) )
& ~ ( ( n1 = F )
& ( n5 = E ) )
& ~ ( ( n2 = E )
& ( n4 = F ) )
& ~ ( ( n2 = E )
& ( n5 = F ) )
& ~ ( ( n2 = F )
& ( n3 = E ) )
& ~ ( ( n2 = F )
& ( n4 = E ) )
& ~ ( ( n2 = F )
& ( n5 = E ) )
& ~ ( ( n3 = E )
& ( n3 = F ) )
& ~ ( ( n3 = E )
& ( n4 = F ) )
& ~ ( ( n3 = E )
& ( n5 = F ) )
& ~ ( ( n3 = F )
& ( n4 = E ) )
& ~ ( ( n3 = F )
& ( n5 = E ) )
& ~ ( ( n4 = E )
& ( n4 = F ) )
& ~ ( ( n4 = E )
& ( n5 = F ) )
& ~ ( ( n4 = F )
& ( n5 = E ) ) ) )),
rewrite(( ( ~ ( ( n0 = E )
& ( n4 = F ) )
& ~ ( ( n0 = E )
& ( n5 = F ) )
& ~ ( ( n0 = F )
& ( n4 = E ) )
& ~ ( ( n0 = F )
& ( n5 = E ) )
& ~ ( ( n1 = E )
& ( n4 = F ) )
& ~ ( ( n1 = E )
& ( n5 = F ) )
& ~ ( ( n1 = F )
& ( n3 = E ) )
& ~ ( ( n1 = F )
& ( n4 = E ) )
& ~ ( ( n1 = F )
& ( n5 = E ) )
& ~ ( ( n2 = E )
& ( n4 = F ) )
& ~ ( ( n2 = E )
& ( n5 = F ) )
& ~ ( ( n2 = F )
& ( n3 = E ) )
& ~ ( ( n2 = F )
& ( n4 = E ) )
& ~ ( ( n2 = F )
& ( n5 = E ) )
& ~ ( ( n3 = E )
& ( n3 = F ) )
& ~ ( ( n3 = E )
& ( n4 = F ) )
& ~ ( ( n3 = E )
& ( n5 = F ) )
& ~ ( ( n3 = F )
& ( n4 = E ) )
& ~ ( ( n3 = F )
& ( n5 = E ) )
& ~ ( ( n4 = E )
& ( n4 = F ) )
& ~ ( ( n4 = E )
& ( n5 = F ) )
& ~ ( ( n4 = F )
& ( n5 = E ) ) )
<=> ( ~ ( ( n0 = E )
& ( n4 = F ) )
& ~ ( ( n0 = E )
& ( n5 = F ) )
& ~ ( ( n0 = F )
& ( n4 = E ) )
& ~ ( ( n0 = F )
& ( n5 = E ) )
& ~ ( ( n1 = E )
& ( n4 = F ) )
& ~ ( ( n1 = E )
& ( n5 = F ) )
& ~ ( ( n1 = F )
& ( n3 = E ) )
& ~ ( ( n1 = F )
& ( n4 = E ) )
& ~ ( ( n1 = F )
& ( n5 = E ) )
& ~ ( ( n2 = E )
& ( n4 = F ) )
& ~ ( ( n2 = E )
& ( n5 = F ) )
& ~ ( ( n2 = F )
& ( n3 = E ) )
& ~ ( ( n2 = F )
& ( n4 = E ) )
& ~ ( ( n2 = F )
& ( n5 = E ) )
& ~ ( ( n3 = E )
& ( n3 = F ) )
& ~ ( ( n3 = E )
& ( n4 = F ) )
& ~ ( ( n3 = E )
& ( n5 = F ) )
& ~ ( ( n3 = F )
& ( n4 = E ) )
& ~ ( ( n3 = F )
& ( n5 = E ) )
& ~ ( ( n4 = E )
& ( n4 = F ) )
& ~ ( ( n4 = E )
& ( n5 = F ) )
& ~ ( ( n4 = F )
& ( n5 = E ) ) ) )),
( ( ~ ( ( n0 = E )
& ( n4 = F ) )
& ~ ( ( n0 = E )
& ( n5 = F ) )
& ~ ( ( n0 = F )
& ( n4 = E ) )
& ~ ( ( n0 = F )
& ( n5 = E ) )
& ~ ( ( n1 = E )
& ( n4 = F ) )
& ~ ( ( n1 = E )
& ( n5 = F ) )
& ~ ( ( n1 = F )
& ( n3 = E ) )
& ~ ( ( n1 = F )
& ( n4 = E ) )
& ~ ( ( n1 = F )
& ( n5 = E ) )
& ~ ( ( n2 = E )
& ( n4 = F ) )
& ~ ( ( n2 = E )
& ( n5 = F ) )
& ~ ( ( n2 = F )
& ( n3 = E ) )
& ~ ( ( n2 = F )
& ( n4 = E ) )
& ~ ( ( n2 = F )
& ( n5 = E ) )
& ~ ( ( n3 = E )
& ( n3 = F ) )
& ~ ( ( n3 = E )
& ( n4 = F ) )
& ~ ( ( n3 = E )
& ( n5 = F ) )
& ~ ( ( n3 = F )
& ( n4 = E ) )
& ~ ( ( n3 = F )
& ( n5 = E ) )
& ~ ( ( n4 = E )
& ( n4 = F ) )
& ~ ( ( n4 = E )
& ( n5 = F ) )
& ~ ( ( n4 = F )
& ( n5 = E ) ) )
<=> ( ~ ( ( n0 = E )
& ( n4 = F ) )
& ~ ( ( n0 = E )
& ( n5 = F ) )
& ~ ( ( n0 = F )
& ( n4 = E ) )
& ~ ( ( n0 = F )
& ( n5 = E ) )
& ~ ( ( n1 = E )
& ( n4 = F ) )
& ~ ( ( n1 = E )
& ( n5 = F ) )
& ~ ( ( n1 = F )
& ( n3 = E ) )
& ~ ( ( n1 = F )
& ( n4 = E ) )
& ~ ( ( n1 = F )
& ( n5 = E ) )
& ~ ( ( n2 = E )
& ( n4 = F ) )
& ~ ( ( n2 = E )
& ( n5 = F ) )
& ~ ( ( n2 = F )
& ( n3 = E ) )
& ~ ( ( n2 = F )
& ( n4 = E ) )
& ~ ( ( n2 = F )
& ( n5 = E ) )
& ~ ( ( n3 = E )
& ( n3 = F ) )
& ~ ( ( n3 = E )
& ( n4 = F ) )
& ~ ( ( n3 = E )
& ( n5 = F ) )
& ~ ( ( n3 = F )
& ( n4 = E ) )
& ~ ( ( n3 = F )
& ( n5 = E ) )
& ~ ( ( n4 = E )
& ( n4 = F ) )
& ~ ( ( n4 = E )
& ( n5 = F ) )
& ~ ( ( n4 = F )
& ( n5 = E ) ) ) )),
( ( ~ ( ( n0 = E )
& ( n4 = F ) )
& ~ ( ( n0 = E )
& ( n5 = F ) )
& ~ ( ( n0 = F )
& ( n4 = E ) )
& ~ ( ( n0 = F )
& ( n5 = E ) )
& ~ ( ( n1 = E )
& ( n4 = F ) )
& ~ ( ( n1 = E )
& ( n5 = F ) )
& ~ ( ( n1 = F )
& ( n3 = E ) )
& ~ ( ( n1 = F )
& ( n4 = E ) )
& ~ ( ( n1 = F )
& ( n5 = E ) )
& ~ ( ( n2 = E )
& ( n4 = F ) )
& ~ ( ( n2 = E )
& ( n5 = F ) )
& ~ ( ( n2 = F )
& ( n3 = E ) )
& ~ ( ( n2 = F )
& ( n4 = E ) )
& ~ ( ( n2 = F )
& ( n5 = E ) )
& ~ ( ( n3 = E )
& ( n3 = F ) )
& ~ ( ( n3 = E )
& ( n4 = F ) )
& ~ ( ( n3 = E )
& ( n5 = F ) )
& ~ ( ( n3 = F )
& ( n4 = E ) )
& ~ ( ( n3 = F )
& ( n5 = E ) )
& ~ ( ( n4 = E )
& ( n4 = F ) )
& ~ ( ( n4 = E )
& ( n5 = F ) )
& ~ ( ( n4 = F )
& ( n5 = E ) )
& ~ ( ( n5 = E )
& ( n5 = F ) ) )
<=> ( ~ ( ( n0 = E )
& ( n4 = F ) )
& ~ ( ( n0 = E )
& ( n5 = F ) )
& ~ ( ( n0 = F )
& ( n4 = E ) )
& ~ ( ( n0 = F )
& ( n5 = E ) )
& ~ ( ( n1 = E )
& ( n4 = F ) )
& ~ ( ( n1 = E )
& ( n5 = F ) )
& ~ ( ( n1 = F )
& ( n3 = E ) )
& ~ ( ( n1 = F )
& ( n4 = E ) )
& ~ ( ( n1 = F )
& ( n5 = E ) )
& ~ ( ( n2 = E )
& ( n4 = F ) )
& ~ ( ( n2 = E )
& ( n5 = F ) )
& ~ ( ( n2 = F )
& ( n3 = E ) )
& ~ ( ( n2 = F )
& ( n4 = E ) )
& ~ ( ( n2 = F )
& ( n5 = E ) )
& ~ ( ( n3 = E )
& ( n3 = F ) )
& ~ ( ( n3 = E )
& ( n4 = F ) )
& ~ ( ( n3 = E )
& ( n5 = F ) )
& ~ ( ( n3 = F )
& ( n4 = E ) )
& ~ ( ( n3 = F )
& ( n5 = E ) )
& ~ ( ( n4 = E )
& ( n4 = F ) )
& ~ ( ( n4 = E )
& ( n5 = F ) )
& ~ ( ( n4 = F )
& ( n5 = E ) )
& ~ ( ( n5 = E )
& ( n5 = F ) ) ) )),
rewrite(( ( ~ ( ( n0 = E )
& ( n4 = F ) )
& ~ ( ( n0 = E )
& ( n5 = F ) )
& ~ ( ( n0 = F )
& ( n4 = E ) )
& ~ ( ( n0 = F )
& ( n5 = E ) )
& ~ ( ( n1 = E )
& ( n4 = F ) )
& ~ ( ( n1 = E )
& ( n5 = F ) )
& ~ ( ( n1 = F )
& ( n3 = E ) )
& ~ ( ( n1 = F )
& ( n4 = E ) )
& ~ ( ( n1 = F )
& ( n5 = E ) )
& ~ ( ( n2 = E )
& ( n4 = F ) )
& ~ ( ( n2 = E )
& ( n5 = F ) )
& ~ ( ( n2 = F )
& ( n3 = E ) )
& ~ ( ( n2 = F )
& ( n4 = E ) )
& ~ ( ( n2 = F )
& ( n5 = E ) )
& ~ ( ( n3 = E )
& ( n3 = F ) )
& ~ ( ( n3 = E )
& ( n4 = F ) )
& ~ ( ( n3 = E )
& ( n5 = F ) )
& ~ ( ( n3 = F )
& ( n4 = E ) )
& ~ ( ( n3 = F )
& ( n5 = E ) )
& ~ ( ( n4 = E )
& ( n4 = F ) )
& ~ ( ( n4 = E )
& ( n5 = F ) )
& ~ ( ( n4 = F )
& ( n5 = E ) )
& ~ ( ( n5 = E )
& ( n5 = F ) ) )
<=> ( ~ ( ( n0 = E )
& ( n4 = F ) )
& ~ ( ( n0 = E )
& ( n5 = F ) )
& ~ ( ( n0 = F )
& ( n4 = E ) )
& ~ ( ( n0 = F )
& ( n5 = E ) )
& ~ ( ( n1 = E )
& ( n4 = F ) )
& ~ ( ( n1 = E )
& ( n5 = F ) )
& ~ ( ( n1 = F )
& ( n3 = E ) )
& ~ ( ( n1 = F )
& ( n4 = E ) )
& ~ ( ( n1 = F )
& ( n5 = E ) )
& ~ ( ( n2 = E )
& ( n4 = F ) )
& ~ ( ( n2 = E )
& ( n5 = F ) )
& ~ ( ( n2 = F )
& ( n3 = E ) )
& ~ ( ( n2 = F )
& ( n4 = E ) )
& ~ ( ( n2 = F )
& ( n5 = E ) )
& ~ ( ( n3 = E )
& ( n3 = F ) )
& ~ ( ( n3 = E )
& ( n4 = F ) )
& ~ ( ( n3 = E )
& ( n5 = F ) )
& ~ ( ( n3 = F )
& ( n4 = E ) )
& ~ ( ( n3 = F )
& ( n5 = E ) )
& ~ ( ( n4 = E )
& ( n4 = F ) )
& ~ ( ( n4 = E )
& ( n5 = F ) )
& ~ ( ( n4 = F )
& ( n5 = E ) )
& ~ ( ( n5 = E )
& ( n5 = F ) ) ) )),
( ( ~ ( ( n0 = E )
& ( n4 = F ) )
& ~ ( ( n0 = E )
& ( n5 = F ) )
& ~ ( ( n0 = F )
& ( n4 = E ) )
& ~ ( ( n0 = F )
& ( n5 = E ) )
& ~ ( ( n1 = E )
& ( n4 = F ) )
& ~ ( ( n1 = E )
& ( n5 = F ) )
& ~ ( ( n1 = F )
& ( n3 = E ) )
& ~ ( ( n1 = F )
& ( n4 = E ) )
& ~ ( ( n1 = F )
& ( n5 = E ) )
& ~ ( ( n2 = E )
& ( n4 = F ) )
& ~ ( ( n2 = E )
& ( n5 = F ) )
& ~ ( ( n2 = F )
& ( n3 = E ) )
& ~ ( ( n2 = F )
& ( n4 = E ) )
& ~ ( ( n2 = F )
& ( n5 = E ) )
& ~ ( ( n3 = E )
& ( n3 = F ) )
& ~ ( ( n3 = E )
& ( n4 = F ) )
& ~ ( ( n3 = E )
& ( n5 = F ) )
& ~ ( ( n3 = F )
& ( n4 = E ) )
& ~ ( ( n3 = F )
& ( n5 = E ) )
& ~ ( ( n4 = E )
& ( n4 = F ) )
& ~ ( ( n4 = E )
& ( n5 = F ) )
& ~ ( ( n4 = F )
& ( n5 = E ) )
& ~ ( ( n5 = E )
& ( n5 = F ) ) )
<=> ( ~ ( ( n0 = E )
& ( n4 = F ) )
& ~ ( ( n0 = E )
& ( n5 = F ) )
& ~ ( ( n0 = F )
& ( n4 = E ) )
& ~ ( ( n0 = F )
& ( n5 = E ) )
& ~ ( ( n1 = E )
& ( n4 = F ) )
& ~ ( ( n1 = E )
& ( n5 = F ) )
& ~ ( ( n1 = F )
& ( n3 = E ) )
& ~ ( ( n1 = F )
& ( n4 = E ) )
& ~ ( ( n1 = F )
& ( n5 = E ) )
& ~ ( ( n2 = E )
& ( n4 = F ) )
& ~ ( ( n2 = E )
& ( n5 = F ) )
& ~ ( ( n2 = F )
& ( n3 = E ) )
& ~ ( ( n2 = F )
& ( n4 = E ) )
& ~ ( ( n2 = F )
& ( n5 = E ) )
& ~ ( ( n3 = E )
& ( n3 = F ) )
& ~ ( ( n3 = E )
& ( n4 = F ) )
& ~ ( ( n3 = E )
& ( n5 = F ) )
& ~ ( ( n3 = F )
& ( n4 = E ) )
& ~ ( ( n3 = F )
& ( n5 = E ) )
& ~ ( ( n4 = E )
& ( n4 = F ) )
& ~ ( ( n4 = E )
& ( n5 = F ) )
& ~ ( ( n4 = F )
& ( n5 = E ) )
& ~ ( ( n5 = E )
& ( n5 = F ) ) ) )),
( ( ~ ( ( n0 = E )
& ( n4 = F ) )
& ~ ( ( n0 = E )
& ( n5 = F ) )
& ~ ( ( n0 = F )
& ( n4 = E ) )
& ~ ( ( n0 = F )
& ( n5 = E ) )
& ~ ( ( n1 = E )
& ( n4 = F ) )
& ~ ( ( n1 = E )
& ( n5 = F ) )
& ~ ( ( n1 = F )
& ( n3 = E ) )
& ~ ( ( n1 = F )
& ( n4 = E ) )
& ~ ( ( n1 = F )
& ( n5 = E ) )
& ~ ( ( n2 = E )
& ( n4 = F ) )
& ~ ( ( n2 = E )
& ( n5 = F ) )
& ~ ( ( n2 = F )
& ( n3 = E ) )
& ~ ( ( n2 = F )
& ( n4 = E ) )
& ~ ( ( n2 = F )
& ( n5 = E ) )
& ~ ( ( n3 = E )
& ( n3 = F ) )
& ~ ( ( n3 = E )
& ( n4 = F ) )
& ~ ( ( n3 = E )
& ( n5 = F ) )
& ~ ( ( n3 = F )
& ( n4 = E ) )
& ~ ( ( n3 = F )
& ( n5 = E ) )
& ~ ( ( n4 = E )
& ( n4 = F ) )
& ~ ( ( n4 = E )
& ( n5 = F ) )
& ~ ( ( n4 = F )
& ( n5 = E ) )
& ~ ( ( n5 = E )
& ( n5 = F ) )
& ( n0 = F ) )
<=> ( ~ ( ( n0 = E )
& ( n4 = F ) )
& ~ ( ( n0 = E )
& ( n5 = F ) )
& ~ ( ( n0 = F )
& ( n4 = E ) )
& ~ ( ( n0 = F )
& ( n5 = E ) )
& ~ ( ( n1 = E )
& ( n4 = F ) )
& ~ ( ( n1 = E )
& ( n5 = F ) )
& ~ ( ( n1 = F )
& ( n3 = E ) )
& ~ ( ( n1 = F )
& ( n4 = E ) )
& ~ ( ( n1 = F )
& ( n5 = E ) )
& ~ ( ( n2 = E )
& ( n4 = F ) )
& ~ ( ( n2 = E )
& ( n5 = F ) )
& ~ ( ( n2 = F )
& ( n3 = E ) )
& ~ ( ( n2 = F )
& ( n4 = E ) )
& ~ ( ( n2 = F )
& ( n5 = E ) )
& ~ ( ( n3 = E )
& ( n3 = F ) )
& ~ ( ( n3 = E )
& ( n4 = F ) )
& ~ ( ( n3 = E )
& ( n5 = F ) )
& ~ ( ( n3 = F )
& ( n4 = E ) )
& ~ ( ( n3 = F )
& ( n5 = E ) )
& ~ ( ( n4 = E )
& ( n4 = F ) )
& ~ ( ( n4 = E )
& ( n5 = F ) )
& ~ ( ( n4 = F )
& ( n5 = E ) )
& ~ ( ( n5 = E )
& ( n5 = F ) )
& ( n0 = F ) ) )),
rewrite(( ( ~ ( ( n0 = E )
& ( n4 = F ) )
& ~ ( ( n0 = E )
& ( n5 = F ) )
& ~ ( ( n0 = F )
& ( n4 = E ) )
& ~ ( ( n0 = F )
& ( n5 = E ) )
& ~ ( ( n1 = E )
& ( n4 = F ) )
& ~ ( ( n1 = E )
& ( n5 = F ) )
& ~ ( ( n1 = F )
& ( n3 = E ) )
& ~ ( ( n1 = F )
& ( n4 = E ) )
& ~ ( ( n1 = F )
& ( n5 = E ) )
& ~ ( ( n2 = E )
& ( n4 = F ) )
& ~ ( ( n2 = E )
& ( n5 = F ) )
& ~ ( ( n2 = F )
& ( n3 = E ) )
& ~ ( ( n2 = F )
& ( n4 = E ) )
& ~ ( ( n2 = F )
& ( n5 = E ) )
& ~ ( ( n3 = E )
& ( n3 = F ) )
& ~ ( ( n3 = E )
& ( n4 = F ) )
& ~ ( ( n3 = E )
& ( n5 = F ) )
& ~ ( ( n3 = F )
& ( n4 = E ) )
& ~ ( ( n3 = F )
& ( n5 = E ) )
& ~ ( ( n4 = E )
& ( n4 = F ) )
& ~ ( ( n4 = E )
& ( n5 = F ) )
& ~ ( ( n4 = F )
& ( n5 = E ) )
& ~ ( ( n5 = E )
& ( n5 = F ) )
& ( n0 = F ) )
<=> ( ~ ( ( n0 = E )
& ( n4 = F ) )
& ~ ( ( n0 = E )
& ( n5 = F ) )
& ~ ( ( n0 = F )
& ( n4 = E ) )
& ~ ( ( n0 = F )
& ( n5 = E ) )
& ~ ( ( n1 = E )
& ( n4 = F ) )
& ~ ( ( n1 = E )
& ( n5 = F ) )
& ~ ( ( n1 = F )
& ( n3 = E ) )
& ~ ( ( n1 = F )
& ( n4 = E ) )
& ~ ( ( n1 = F )
& ( n5 = E ) )
& ~ ( ( n2 = E )
& ( n4 = F ) )
& ~ ( ( n2 = E )
& ( n5 = F ) )
& ~ ( ( n2 = F )
& ( n3 = E ) )
& ~ ( ( n2 = F )
& ( n4 = E ) )
& ~ ( ( n2 = F )
& ( n5 = E ) )
& ~ ( ( n3 = E )
& ( n3 = F ) )
& ~ ( ( n3 = E )
& ( n4 = F ) )
& ~ ( ( n3 = E )
& ( n5 = F ) )
& ~ ( ( n3 = F )
& ( n4 = E ) )
& ~ ( ( n3 = F )
& ( n5 = E ) )
& ~ ( ( n4 = E )
& ( n4 = F ) )
& ~ ( ( n4 = E )
& ( n5 = F ) )
& ~ ( ( n4 = F )
& ( n5 = E ) )
& ~ ( ( n5 = E )
& ( n5 = F ) )
& ( n0 = F ) ) )),
( ( ~ ( ( n0 = E )
& ( n4 = F ) )
& ~ ( ( n0 = E )
& ( n5 = F ) )
& ~ ( ( n0 = F )
& ( n4 = E ) )
& ~ ( ( n0 = F )
& ( n5 = E ) )
& ~ ( ( n1 = E )
& ( n4 = F ) )
& ~ ( ( n1 = E )
& ( n5 = F ) )
& ~ ( ( n1 = F )
& ( n3 = E ) )
& ~ ( ( n1 = F )
& ( n4 = E ) )
& ~ ( ( n1 = F )
& ( n5 = E ) )
& ~ ( ( n2 = E )
& ( n4 = F ) )
& ~ ( ( n2 = E )
& ( n5 = F ) )
& ~ ( ( n2 = F )
& ( n3 = E ) )
& ~ ( ( n2 = F )
& ( n4 = E ) )
& ~ ( ( n2 = F )
& ( n5 = E ) )
& ~ ( ( n3 = E )
& ( n3 = F ) )
& ~ ( ( n3 = E )
& ( n4 = F ) )
& ~ ( ( n3 = E )
& ( n5 = F ) )
& ~ ( ( n3 = F )
& ( n4 = E ) )
& ~ ( ( n3 = F )
& ( n5 = E ) )
& ~ ( ( n4 = E )
& ( n4 = F ) )
& ~ ( ( n4 = E )
& ( n5 = F ) )
& ~ ( ( n4 = F )
& ( n5 = E ) )
& ~ ( ( n5 = E )
& ( n5 = F ) )
& ( n0 = F ) )
<=> ( ~ ( ( n0 = E )
& ( n4 = F ) )
& ~ ( ( n0 = E )
& ( n5 = F ) )
& ~ ( ( n0 = F )
& ( n4 = E ) )
& ~ ( ( n0 = F )
& ( n5 = E ) )
& ~ ( ( n1 = E )
& ( n4 = F ) )
& ~ ( ( n1 = E )
& ( n5 = F ) )
& ~ ( ( n1 = F )
& ( n3 = E ) )
& ~ ( ( n1 = F )
& ( n4 = E ) )
& ~ ( ( n1 = F )
& ( n5 = E ) )
& ~ ( ( n2 = E )
& ( n4 = F ) )
& ~ ( ( n2 = E )
& ( n5 = F ) )
& ~ ( ( n2 = F )
& ( n3 = E ) )
& ~ ( ( n2 = F )
& ( n4 = E ) )
& ~ ( ( n2 = F )
& ( n5 = E ) )
& ~ ( ( n3 = E )
& ( n3 = F ) )
& ~ ( ( n3 = E )
& ( n4 = F ) )
& ~ ( ( n3 = E )
& ( n5 = F ) )
& ~ ( ( n3 = F )
& ( n4 = E ) )
& ~ ( ( n3 = F )
& ( n5 = E ) )
& ~ ( ( n4 = E )
& ( n4 = F ) )
& ~ ( ( n4 = E )
& ( n5 = F ) )
& ~ ( ( n4 = F )
& ( n5 = E ) )
& ~ ( ( n5 = E )
& ( n5 = F ) )
& ( n0 = F ) ) )),
( ( ~ ( ( n0 = E )
& ( n4 = F ) )
& ~ ( ( n0 = E )
& ( n5 = F ) )
& ~ ( ( n0 = F )
& ( n4 = E ) )
& ~ ( ( n0 = F )
& ( n5 = E ) )
& ~ ( ( n1 = E )
& ( n4 = F ) )
& ~ ( ( n1 = E )
& ( n5 = F ) )
& ~ ( ( n1 = F )
& ( n3 = E ) )
& ~ ( ( n1 = F )
& ( n4 = E ) )
& ~ ( ( n1 = F )
& ( n5 = E ) )
& ~ ( ( n2 = E )
& ( n4 = F ) )
& ~ ( ( n2 = E )
& ( n5 = F ) )
& ~ ( ( n2 = F )
& ( n3 = E ) )
& ~ ( ( n2 = F )
& ( n4 = E ) )
& ~ ( ( n2 = F )
& ( n5 = E ) )
& ~ ( ( n3 = E )
& ( n3 = F ) )
& ~ ( ( n3 = E )
& ( n4 = F ) )
& ~ ( ( n3 = E )
& ( n5 = F ) )
& ~ ( ( n3 = F )
& ( n4 = E ) )
& ~ ( ( n3 = F )
& ( n5 = E ) )
& ~ ( ( n4 = E )
& ( n4 = F ) )
& ~ ( ( n4 = E )
& ( n5 = F ) )
& ~ ( ( n4 = F )
& ( n5 = E ) )
& ~ ( ( n5 = E )
& ( n5 = F ) )
& ( n0 = F )
& ( n3 = E ) )
<=> ( ~ ( ( n0 = E )
& ( n4 = F ) )
& ~ ( ( n0 = E )
& ( n5 = F ) )
& ~ ( ( n0 = F )
& ( n4 = E ) )
& ~ ( ( n0 = F )
& ( n5 = E ) )
& ~ ( ( n1 = E )
& ( n4 = F ) )
& ~ ( ( n1 = E )
& ( n5 = F ) )
& ~ ( ( n1 = F )
& ( n3 = E ) )
& ~ ( ( n1 = F )
& ( n4 = E ) )
& ~ ( ( n1 = F )
& ( n5 = E ) )
& ~ ( ( n2 = E )
& ( n4 = F ) )
& ~ ( ( n2 = E )
& ( n5 = F ) )
& ~ ( ( n2 = F )
& ( n3 = E ) )
& ~ ( ( n2 = F )
& ( n4 = E ) )
& ~ ( ( n2 = F )
& ( n5 = E ) )
& ~ ( ( n3 = E )
& ( n3 = F ) )
& ~ ( ( n3 = E )
& ( n4 = F ) )
& ~ ( ( n3 = E )
& ( n5 = F ) )
& ~ ( ( n3 = F )
& ( n4 = E ) )
& ~ ( ( n3 = F )
& ( n5 = E ) )
& ~ ( ( n4 = E )
& ( n4 = F ) )
& ~ ( ( n4 = E )
& ( n5 = F ) )
& ~ ( ( n4 = F )
& ( n5 = E ) )
& ~ ( ( n5 = E )
& ( n5 = F ) )
& ( n0 = F )
& ( n3 = E ) ) )),
rewrite(( ( ~ ( ( n0 = E )
& ( n4 = F ) )
& ~ ( ( n0 = E )
& ( n5 = F ) )
& ~ ( ( n0 = F )
& ( n4 = E ) )
& ~ ( ( n0 = F )
& ( n5 = E ) )
& ~ ( ( n1 = E )
& ( n4 = F ) )
& ~ ( ( n1 = E )
& ( n5 = F ) )
& ~ ( ( n1 = F )
& ( n3 = E ) )
& ~ ( ( n1 = F )
& ( n4 = E ) )
& ~ ( ( n1 = F )
& ( n5 = E ) )
& ~ ( ( n2 = E )
& ( n4 = F ) )
& ~ ( ( n2 = E )
& ( n5 = F ) )
& ~ ( ( n2 = F )
& ( n3 = E ) )
& ~ ( ( n2 = F )
& ( n4 = E ) )
& ~ ( ( n2 = F )
& ( n5 = E ) )
& ~ ( ( n3 = E )
& ( n3 = F ) )
& ~ ( ( n3 = E )
& ( n4 = F ) )
& ~ ( ( n3 = E )
& ( n5 = F ) )
& ~ ( ( n3 = F )
& ( n4 = E ) )
& ~ ( ( n3 = F )
& ( n5 = E ) )
& ~ ( ( n4 = E )
& ( n4 = F ) )
& ~ ( ( n4 = E )
& ( n5 = F ) )
& ~ ( ( n4 = F )
& ( n5 = E ) )
& ~ ( ( n5 = E )
& ( n5 = F ) )
& ( n0 = F )
& ( n3 = E ) )
<=> ( ~ ( ( n0 = E )
& ( n4 = F ) )
& ~ ( ( n0 = E )
& ( n5 = F ) )
& ~ ( ( n0 = F )
& ( n4 = E ) )
& ~ ( ( n0 = F )
& ( n5 = E ) )
& ~ ( ( n1 = E )
& ( n4 = F ) )
& ~ ( ( n1 = E )
& ( n5 = F ) )
& ~ ( ( n1 = F )
& ( n3 = E ) )
& ~ ( ( n1 = F )
& ( n4 = E ) )
& ~ ( ( n1 = F )
& ( n5 = E ) )
& ~ ( ( n2 = E )
& ( n4 = F ) )
& ~ ( ( n2 = E )
& ( n5 = F ) )
& ~ ( ( n2 = F )
& ( n3 = E ) )
& ~ ( ( n2 = F )
& ( n4 = E ) )
& ~ ( ( n2 = F )
& ( n5 = E ) )
& ~ ( ( n3 = E )
& ( n3 = F ) )
& ~ ( ( n3 = E )
& ( n4 = F ) )
& ~ ( ( n3 = E )
& ( n5 = F ) )
& ~ ( ( n3 = F )
& ( n4 = E ) )
& ~ ( ( n3 = F )
& ( n5 = E ) )
& ~ ( ( n4 = E )
& ( n4 = F ) )
& ~ ( ( n4 = E )
& ( n5 = F ) )
& ~ ( ( n4 = F )
& ( n5 = E ) )
& ~ ( ( n5 = E )
& ( n5 = F ) )
& ( n0 = F )
& ( n3 = E ) ) )),
( ( ~ ( ( n0 = E )
& ( n4 = F ) )
& ~ ( ( n0 = E )
& ( n5 = F ) )
& ~ ( ( n0 = F )
& ( n4 = E ) )
& ~ ( ( n0 = F )
& ( n5 = E ) )
& ~ ( ( n1 = E )
& ( n4 = F ) )
& ~ ( ( n1 = E )
& ( n5 = F ) )
& ~ ( ( n1 = F )
& ( n3 = E ) )
& ~ ( ( n1 = F )
& ( n4 = E ) )
& ~ ( ( n1 = F )
& ( n5 = E ) )
& ~ ( ( n2 = E )
& ( n4 = F ) )
& ~ ( ( n2 = E )
& ( n5 = F ) )
& ~ ( ( n2 = F )
& ( n3 = E ) )
& ~ ( ( n2 = F )
& ( n4 = E ) )
& ~ ( ( n2 = F )
& ( n5 = E ) )
& ~ ( ( n3 = E )
& ( n3 = F ) )
& ~ ( ( n3 = E )
& ( n4 = F ) )
& ~ ( ( n3 = E )
& ( n5 = F ) )
& ~ ( ( n3 = F )
& ( n4 = E ) )
& ~ ( ( n3 = F )
& ( n5 = E ) )
& ~ ( ( n4 = E )
& ( n4 = F ) )
& ~ ( ( n4 = E )
& ( n5 = F ) )
& ~ ( ( n4 = F )
& ( n5 = E ) )
& ~ ( ( n5 = E )
& ( n5 = F ) )
& ( n0 = F )
& ( n3 = E ) )
<=> ( ~ ( ( n0 = E )
& ( n4 = F ) )
& ~ ( ( n0 = E )
& ( n5 = F ) )
& ~ ( ( n0 = F )
& ( n4 = E ) )
& ~ ( ( n0 = F )
& ( n5 = E ) )
& ~ ( ( n1 = E )
& ( n4 = F ) )
& ~ ( ( n1 = E )
& ( n5 = F ) )
& ~ ( ( n1 = F )
& ( n3 = E ) )
& ~ ( ( n1 = F )
& ( n4 = E ) )
& ~ ( ( n1 = F )
& ( n5 = E ) )
& ~ ( ( n2 = E )
& ( n4 = F ) )
& ~ ( ( n2 = E )
& ( n5 = F ) )
& ~ ( ( n2 = F )
& ( n3 = E ) )
& ~ ( ( n2 = F )
& ( n4 = E ) )
& ~ ( ( n2 = F )
& ( n5 = E ) )
& ~ ( ( n3 = E )
& ( n3 = F ) )
& ~ ( ( n3 = E )
& ( n4 = F ) )
& ~ ( ( n3 = E )
& ( n5 = F ) )
& ~ ( ( n3 = F )
& ( n4 = E ) )
& ~ ( ( n3 = F )
& ( n5 = E ) )
& ~ ( ( n4 = E )
& ( n4 = F ) )
& ~ ( ( n4 = E )
& ( n5 = F ) )
& ~ ( ( n4 = F )
& ( n5 = E ) )
& ~ ( ( n5 = E )
& ( n5 = F ) )
& ( n0 = F )
& ( n3 = E ) ) )),
( ( ~ ( ( n0 = E )
& ( n4 = F ) )
& ~ ( ( n0 = E )
& ( n5 = F ) )
& ~ ( ( n0 = F )
& ( n4 = E ) )
& ~ ( ( n0 = F )
& ( n5 = E ) )
& ~ ( ( n1 = E )
& ( n4 = F ) )
& ~ ( ( n1 = E )
& ( n5 = F ) )
& ~ ( ( n1 = F )
& ( n3 = E ) )
& ~ ( ( n1 = F )
& ( n4 = E ) )
& ~ ( ( n1 = F )
& ( n5 = E ) )
& ~ ( ( n2 = E )
& ( n4 = F ) )
& ~ ( ( n2 = E )
& ( n5 = F ) )
& ~ ( ( n2 = F )
& ( n3 = E ) )
& ~ ( ( n2 = F )
& ( n4 = E ) )
& ~ ( ( n2 = F )
& ( n5 = E ) )
& ~ ( ( n3 = E )
& ( n3 = F ) )
& ~ ( ( n3 = E )
& ( n4 = F ) )
& ~ ( ( n3 = E )
& ( n5 = F ) )
& ~ ( ( n3 = F )
& ( n4 = E ) )
& ~ ( ( n3 = F )
& ( n5 = E ) )
& ~ ( ( n4 = E )
& ( n4 = F ) )
& ~ ( ( n4 = E )
& ( n5 = F ) )
& ~ ( ( n4 = F )
& ( n5 = E ) )
& ~ ( ( n5 = E )
& ( n5 = F ) )
& ( n0 = F )
& ( n3 = E )
& ( n3 = F ) )
<=> ( ~ ( ( n0 = E )
& ( n4 = F ) )
& ~ ( ( n0 = E )
& ( n5 = F ) )
& ~ ( ( n0 = F )
& ( n4 = E ) )
& ~ ( ( n0 = F )
& ( n5 = E ) )
& ~ ( ( n1 = E )
& ( n4 = F ) )
& ~ ( ( n1 = E )
& ( n5 = F ) )
& ~ ( ( n1 = F )
& ( n3 = E ) )
& ~ ( ( n1 = F )
& ( n4 = E ) )
& ~ ( ( n1 = F )
& ( n5 = E ) )
& ~ ( ( n2 = E )
& ( n4 = F ) )
& ~ ( ( n2 = E )
& ( n5 = F ) )
& ~ ( ( n2 = F )
& ( n3 = E ) )
& ~ ( ( n2 = F )
& ( n4 = E ) )
& ~ ( ( n2 = F )
& ( n5 = E ) )
& ~ ( ( n3 = E )
& ( n3 = F ) )
& ~ ( ( n3 = E )
& ( n4 = F ) )
& ~ ( ( n3 = E )
& ( n5 = F ) )
& ~ ( ( n3 = F )
& ( n4 = E ) )
& ~ ( ( n3 = F )
& ( n5 = E ) )
& ~ ( ( n4 = E )
& ( n4 = F ) )
& ~ ( ( n4 = E )
& ( n5 = F ) )
& ~ ( ( n4 = F )
& ( n5 = E ) )
& ~ ( ( n5 = E )
& ( n5 = F ) )
& ( n0 = F )
& ( n3 = E )
& ( n3 = F ) ) )),
rewrite(( ( ~ ( ( n0 = E )
& ( n4 = F ) )
& ~ ( ( n0 = E )
& ( n5 = F ) )
& ~ ( ( n0 = F )
& ( n4 = E ) )
& ~ ( ( n0 = F )
& ( n5 = E ) )
& ~ ( ( n1 = E )
& ( n4 = F ) )
& ~ ( ( n1 = E )
& ( n5 = F ) )
& ~ ( ( n1 = F )
& ( n3 = E ) )
& ~ ( ( n1 = F )
& ( n4 = E ) )
& ~ ( ( n1 = F )
& ( n5 = E ) )
& ~ ( ( n2 = E )
& ( n4 = F ) )
& ~ ( ( n2 = E )
& ( n5 = F ) )
& ~ ( ( n2 = F )
& ( n3 = E ) )
& ~ ( ( n2 = F )
& ( n4 = E ) )
& ~ ( ( n2 = F )
& ( n5 = E ) )
& ~ ( ( n3 = E )
& ( n3 = F ) )
& ~ ( ( n3 = E )
& ( n4 = F ) )
& ~ ( ( n3 = E )
& ( n5 = F ) )
& ~ ( ( n3 = F )
& ( n4 = E ) )
& ~ ( ( n3 = F )
& ( n5 = E ) )
& ~ ( ( n4 = E )
& ( n4 = F ) )
& ~ ( ( n4 = E )
& ( n5 = F ) )
& ~ ( ( n4 = F )
& ( n5 = E ) )
& ~ ( ( n5 = E )
& ( n5 = F ) )
& ( n0 = F )
& ( n3 = E )
& ( n3 = F ) )
<=> ( ~ ( ( n0 = E )
& ( n4 = F ) )
& ~ ( ( n0 = E )
& ( n5 = F ) )
& ~ ( ( n0 = F )
& ( n4 = E ) )
& ~ ( ( n0 = F )
& ( n5 = E ) )
& ~ ( ( n1 = E )
& ( n4 = F ) )
& ~ ( ( n1 = E )
& ( n5 = F ) )
& ~ ( ( n1 = F )
& ( n3 = E ) )
& ~ ( ( n1 = F )
& ( n4 = E ) )
& ~ ( ( n1 = F )
& ( n5 = E ) )
& ~ ( ( n2 = E )
& ( n4 = F ) )
& ~ ( ( n2 = E )
& ( n5 = F ) )
& ~ ( ( n2 = F )
& ( n3 = E ) )
& ~ ( ( n2 = F )
& ( n4 = E ) )
& ~ ( ( n2 = F )
& ( n5 = E ) )
& ~ ( ( n3 = E )
& ( n3 = F ) )
& ~ ( ( n3 = E )
& ( n4 = F ) )
& ~ ( ( n3 = E )
& ( n5 = F ) )
& ~ ( ( n3 = F )
& ( n4 = E ) )
& ~ ( ( n3 = F )
& ( n5 = E ) )
& ~ ( ( n4 = E )
& ( n4 = F ) )
& ~ ( ( n4 = E )
& ( n5 = F ) )
& ~ ( ( n4 = F )
& ( n5 = E ) )
& ~ ( ( n5 = E )
& ( n5 = F ) )
& ( n0 = F )
& ( n3 = E )
& ( n3 = F ) ) )),
( ( ~ ( ( n0 = E )
& ( n4 = F ) )
& ~ ( ( n0 = E )
& ( n5 = F ) )
& ~ ( ( n0 = F )
& ( n4 = E ) )
& ~ ( ( n0 = F )
& ( n5 = E ) )
& ~ ( ( n1 = E )
& ( n4 = F ) )
& ~ ( ( n1 = E )
& ( n5 = F ) )
& ~ ( ( n1 = F )
& ( n3 = E ) )
& ~ ( ( n1 = F )
& ( n4 = E ) )
& ~ ( ( n1 = F )
& ( n5 = E ) )
& ~ ( ( n2 = E )
& ( n4 = F ) )
& ~ ( ( n2 = E )
& ( n5 = F ) )
& ~ ( ( n2 = F )
& ( n3 = E ) )
& ~ ( ( n2 = F )
& ( n4 = E ) )
& ~ ( ( n2 = F )
& ( n5 = E ) )
& ~ ( ( n3 = E )
& ( n3 = F ) )
& ~ ( ( n3 = E )
& ( n4 = F ) )
& ~ ( ( n3 = E )
& ( n5 = F ) )
& ~ ( ( n3 = F )
& ( n4 = E ) )
& ~ ( ( n3 = F )
& ( n5 = E ) )
& ~ ( ( n4 = E )
& ( n4 = F ) )
& ~ ( ( n4 = E )
& ( n5 = F ) )
& ~ ( ( n4 = F )
& ( n5 = E ) )
& ~ ( ( n5 = E )
& ( n5 = F ) )
& ( n0 = F )
& ( n3 = E )
& ( n3 = F ) )
<=> ( ~ ( ( n0 = E )
& ( n4 = F ) )
& ~ ( ( n0 = E )
& ( n5 = F ) )
& ~ ( ( n0 = F )
& ( n4 = E ) )
& ~ ( ( n0 = F )
& ( n5 = E ) )
& ~ ( ( n1 = E )
& ( n4 = F ) )
& ~ ( ( n1 = E )
& ( n5 = F ) )
& ~ ( ( n1 = F )
& ( n3 = E ) )
& ~ ( ( n1 = F )
& ( n4 = E ) )
& ~ ( ( n1 = F )
& ( n5 = E ) )
& ~ ( ( n2 = E )
& ( n4 = F ) )
& ~ ( ( n2 = E )
& ( n5 = F ) )
& ~ ( ( n2 = F )
& ( n3 = E ) )
& ~ ( ( n2 = F )
& ( n4 = E ) )
& ~ ( ( n2 = F )
& ( n5 = E ) )
& ~ ( ( n3 = E )
& ( n3 = F ) )
& ~ ( ( n3 = E )
& ( n4 = F ) )
& ~ ( ( n3 = E )
& ( n5 = F ) )
& ~ ( ( n3 = F )
& ( n4 = E ) )
& ~ ( ( n3 = F )
& ( n5 = E ) )
& ~ ( ( n4 = E )
& ( n4 = F ) )
& ~ ( ( n4 = E )
& ( n5 = F ) )
& ~ ( ( n4 = F )
& ( n5 = E ) )
& ~ ( ( n5 = E )
& ( n5 = F ) )
& ( n0 = F )
& ( n3 = E )
& ( n3 = F ) ) )),
( ( ( ~ ( ( n0 = E )
& ( n4 = F ) )
& ~ ( ( n0 = E )
& ( n5 = F ) )
& ~ ( ( n0 = F )
& ( n4 = E ) )
& ~ ( ( n0 = F )
& ( n5 = E ) )
& ~ ( ( n1 = E )
& ( n4 = F ) )
& ~ ( ( n1 = E )
& ( n5 = F ) )
& ~ ( ( n1 = F )
& ( n3 = E ) )
& ~ ( ( n1 = F )
& ( n4 = E ) )
& ~ ( ( n1 = F )
& ( n5 = E ) )
& ~ ( ( n2 = E )
& ( n4 = F ) )
& ~ ( ( n2 = E )
& ( n5 = F ) )
& ~ ( ( n2 = F )
& ( n3 = E ) )
& ~ ( ( n2 = F )
& ( n4 = E ) )
& ~ ( ( n2 = F )
& ( n5 = E ) )
& ~ ( ( n3 = E )
& ( n3 = F ) )
& ~ ( ( n3 = E )
& ( n4 = F ) )
& ~ ( ( n3 = E )
& ( n5 = F ) )
& ~ ( ( n3 = F )
& ( n4 = E ) )
& ~ ( ( n3 = F )
& ( n5 = E ) )
& ~ ( ( n4 = E )
& ( n4 = F ) )
& ~ ( ( n4 = E )
& ( n5 = F ) )
& ~ ( ( n4 = F )
& ( n5 = E ) )
& ~ ( ( n5 = E )
& ( n5 = F ) )
& ( n0 = F )
& ( n3 = E )
& ( n3 = F ) )
=> ( n0 = a_select2(xinit_noise,n3) ) )
<=> ( ( ~ ( ( n0 = E )
& ( n4 = F ) )
& ~ ( ( n0 = E )
& ( n5 = F ) )
& ~ ( ( n0 = F )
& ( n4 = E ) )
& ~ ( ( n0 = F )
& ( n5 = E ) )
& ~ ( ( n1 = E )
& ( n4 = F ) )
& ~ ( ( n1 = E )
& ( n5 = F ) )
& ~ ( ( n1 = F )
& ( n3 = E ) )
& ~ ( ( n1 = F )
& ( n4 = E ) )
& ~ ( ( n1 = F )
& ( n5 = E ) )
& ~ ( ( n2 = E )
& ( n4 = F ) )
& ~ ( ( n2 = E )
& ( n5 = F ) )
& ~ ( ( n2 = F )
& ( n3 = E ) )
& ~ ( ( n2 = F )
& ( n4 = E ) )
& ~ ( ( n2 = F )
& ( n5 = E ) )
& ~ ( ( n3 = E )
& ( n3 = F ) )
& ~ ( ( n3 = E )
& ( n4 = F ) )
& ~ ( ( n3 = E )
& ( n5 = F ) )
& ~ ( ( n3 = F )
& ( n4 = E ) )
& ~ ( ( n3 = F )
& ( n5 = E ) )
& ~ ( ( n4 = E )
& ( n4 = F ) )
& ~ ( ( n4 = E )
& ( n5 = F ) )
& ~ ( ( n4 = F )
& ( n5 = E ) )
& ~ ( ( n5 = E )
& ( n5 = F ) )
& ( n0 = F )
& ( n3 = E )
& ( n3 = F ) )
=> ( n0 = a_select2(xinit_noise,n3) ) ) )),
rewrite(( ( ( ~ ( ( n0 = E )
& ( n4 = F ) )
& ~ ( ( n0 = E )
& ( n5 = F ) )
& ~ ( ( n0 = F )
& ( n4 = E ) )
& ~ ( ( n0 = F )
& ( n5 = E ) )
& ~ ( ( n1 = E )
& ( n4 = F ) )
& ~ ( ( n1 = E )
& ( n5 = F ) )
& ~ ( ( n1 = F )
& ( n3 = E ) )
& ~ ( ( n1 = F )
& ( n4 = E ) )
& ~ ( ( n1 = F )
& ( n5 = E ) )
& ~ ( ( n2 = E )
& ( n4 = F ) )
& ~ ( ( n2 = E )
& ( n5 = F ) )
& ~ ( ( n2 = F )
& ( n3 = E ) )
& ~ ( ( n2 = F )
& ( n4 = E ) )
& ~ ( ( n2 = F )
& ( n5 = E ) )
& ~ ( ( n3 = E )
& ( n3 = F ) )
& ~ ( ( n3 = E )
& ( n4 = F ) )
& ~ ( ( n3 = E )
& ( n5 = F ) )
& ~ ( ( n3 = F )
& ( n4 = E ) )
& ~ ( ( n3 = F )
& ( n5 = E ) )
& ~ ( ( n4 = E )
& ( n4 = F ) )
& ~ ( ( n4 = E )
& ( n5 = F ) )
& ~ ( ( n4 = F )
& ( n5 = E ) )
& ~ ( ( n5 = E )
& ( n5 = F ) )
& ( n0 = F )
& ( n3 = E )
& ( n3 = F ) )
=> ( n0 = a_select2(xinit_noise,n3) ) )
<=> ( ~ ( ~ ( ( n0 = E )
& ( n4 = F ) )
& ~ ( ( n0 = E )
& ( n5 = F ) )
& ~ ( ( n0 = F )
& ( n4 = E ) )
& ~ ( ( n0 = F )
& ( n5 = E ) )
& ~ ( ( n1 = E )
& ( n4 = F ) )
& ~ ( ( n1 = E )
& ( n5 = F ) )
& ~ ( ( n1 = F )
& ( n3 = E ) )
& ~ ( ( n1 = F )
& ( n4 = E ) )
& ~ ( ( n1 = F )
& ( n5 = E ) )
& ~ ( ( n2 = E )
& ( n4 = F ) )
& ~ ( ( n2 = E )
& ( n5 = F ) )
& ~ ( ( n2 = F )
& ( n3 = E ) )
& ~ ( ( n2 = F )
& ( n4 = E ) )
& ~ ( ( n2 = F )
& ( n5 = E ) )
& ~ ( ( n3 = E )
& ( n3 = F ) )
& ~ ( ( n3 = E )
& ( n4 = F ) )
& ~ ( ( n3 = E )
& ( n5 = F ) )
& ~ ( ( n3 = F )
& ( n4 = E ) )
& ~ ( ( n3 = F )
& ( n5 = E ) )
& ~ ( ( n4 = E )
& ( n4 = F ) )
& ~ ( ( n4 = E )
& ( n5 = F ) )
& ~ ( ( n4 = F )
& ( n5 = E ) )
& ~ ( ( n5 = E )
& ( n5 = F ) )
& ( n0 = F )
& ( n3 = E )
& ( n3 = F ) )
| ( n0 = a_select2(xinit_noise,n3) ) ) )),
( ( ( ~ ( ( n0 = E )
& ( n4 = F ) )
& ~ ( ( n0 = E )
& ( n5 = F ) )
& ~ ( ( n0 = F )
& ( n4 = E ) )
& ~ ( ( n0 = F )
& ( n5 = E ) )
& ~ ( ( n1 = E )
& ( n4 = F ) )
& ~ ( ( n1 = E )
& ( n5 = F ) )
& ~ ( ( n1 = F )
& ( n3 = E ) )
& ~ ( ( n1 = F )
& ( n4 = E ) )
& ~ ( ( n1 = F )
& ( n5 = E ) )
& ~ ( ( n2 = E )
& ( n4 = F ) )
& ~ ( ( n2 = E )
& ( n5 = F ) )
& ~ ( ( n2 = F )
& ( n3 = E ) )
& ~ ( ( n2 = F )
& ( n4 = E ) )
& ~ ( ( n2 = F )
& ( n5 = E ) )
& ~ ( ( n3 = E )
& ( n3 = F ) )
& ~ ( ( n3 = E )
& ( n4 = F ) )
& ~ ( ( n3 = E )
& ( n5 = F ) )
& ~ ( ( n3 = F )
& ( n4 = E ) )
& ~ ( ( n3 = F )
& ( n5 = E ) )
& ~ ( ( n4 = E )
& ( n4 = F ) )
& ~ ( ( n4 = E )
& ( n5 = F ) )
& ~ ( ( n4 = F )
& ( n5 = E ) )
& ~ ( ( n5 = E )
& ( n5 = F ) )
& ( n0 = F )
& ( n3 = E )
& ( n3 = F ) )
=> ( n0 = a_select2(xinit_noise,n3) ) )
<=> ( ~ ( ~ ( ( n0 = E )
& ( n4 = F ) )
& ~ ( ( n0 = E )
& ( n5 = F ) )
& ~ ( ( n0 = F )
& ( n4 = E ) )
& ~ ( ( n0 = F )
& ( n5 = E ) )
& ~ ( ( n1 = E )
& ( n4 = F ) )
& ~ ( ( n1 = E )
& ( n5 = F ) )
& ~ ( ( n1 = F )
& ( n3 = E ) )
& ~ ( ( n1 = F )
& ( n4 = E ) )
& ~ ( ( n1 = F )
& ( n5 = E ) )
& ~ ( ( n2 = E )
& ( n4 = F ) )
& ~ ( ( n2 = E )
& ( n5 = F ) )
& ~ ( ( n2 = F )
& ( n3 = E ) )
& ~ ( ( n2 = F )
& ( n4 = E ) )
& ~ ( ( n2 = F )
& ( n5 = E ) )
& ~ ( ( n3 = E )
& ( n3 = F ) )
& ~ ( ( n3 = E )
& ( n4 = F ) )
& ~ ( ( n3 = E )
& ( n5 = F ) )
& ~ ( ( n3 = F )
& ( n4 = E ) )
& ~ ( ( n3 = F )
& ( n5 = E ) )
& ~ ( ( n4 = E )
& ( n4 = F ) )
& ~ ( ( n4 = E )
& ( n5 = F ) )
& ~ ( ( n4 = F )
& ( n5 = E ) )
& ~ ( ( n5 = E )
& ( n5 = F ) )
& ( n0 = F )
& ( n3 = E )
& ( n3 = F ) )
| ( n0 = a_select2(xinit_noise,n3) ) ) )),
( ( ( leq(n0,E)
& leq(n0,F)
& leq(E,n5)
& leq(F,n5) )
=> ( ( ~ ( ( n0 = E )
& ( n4 = F ) )
& ~ ( ( n0 = E )
& ( n5 = F ) )
& ~ ( ( n0 = F )
& ( n4 = E ) )
& ~ ( ( n0 = F )
& ( n5 = E ) )
& ~ ( ( n1 = E )
& ( n4 = F ) )
& ~ ( ( n1 = E )
& ( n5 = F ) )
& ~ ( ( n1 = F )
& ( n3 = E ) )
& ~ ( ( n1 = F )
& ( n4 = E ) )
& ~ ( ( n1 = F )
& ( n5 = E ) )
& ~ ( ( n2 = E )
& ( n4 = F ) )
& ~ ( ( n2 = E )
& ( n5 = F ) )
& ~ ( ( n2 = F )
& ( n3 = E ) )
& ~ ( ( n2 = F )
& ( n4 = E ) )
& ~ ( ( n2 = F )
& ( n5 = E ) )
& ~ ( ( n3 = E )
& ( n3 = F ) )
& ~ ( ( n3 = E )
& ( n4 = F ) )
& ~ ( ( n3 = E )
& ( n5 = F ) )
& ~ ( ( n3 = F )
& ( n4 = E ) )
& ~ ( ( n3 = F )
& ( n5 = E ) )
& ~ ( ( n4 = E )
& ( n4 = F ) )
& ~ ( ( n4 = E )
& ( n5 = F ) )
& ~ ( ( n4 = F )
& ( n5 = E ) )
& ~ ( ( n5 = E )
& ( n5 = F ) )
& ( n0 = F )
& ( n3 = E )
& ( n3 = F ) )
=> ( n0 = a_select2(xinit_noise,n3) ) ) )
<=> ( ( leq(n0,E)
& leq(n0,F)
& leq(E,n5)
& leq(F,n5) )
=> ( ~ ( ~ ( ( n0 = E )
& ( n4 = F ) )
& ~ ( ( n0 = E )
& ( n5 = F ) )
& ~ ( ( n0 = F )
& ( n4 = E ) )
& ~ ( ( n0 = F )
& ( n5 = E ) )
& ~ ( ( n1 = E )
& ( n4 = F ) )
& ~ ( ( n1 = E )
& ( n5 = F ) )
& ~ ( ( n1 = F )
& ( n3 = E ) )
& ~ ( ( n1 = F )
& ( n4 = E ) )
& ~ ( ( n1 = F )
& ( n5 = E ) )
& ~ ( ( n2 = E )
& ( n4 = F ) )
& ~ ( ( n2 = E )
& ( n5 = F ) )
& ~ ( ( n2 = F )
& ( n3 = E ) )
& ~ ( ( n2 = F )
& ( n4 = E ) )
& ~ ( ( n2 = F )
& ( n5 = E ) )
& ~ ( ( n3 = E )
& ( n3 = F ) )
& ~ ( ( n3 = E )
& ( n4 = F ) )
& ~ ( ( n3 = E )
& ( n5 = F ) )
& ~ ( ( n3 = F )
& ( n4 = E ) )
& ~ ( ( n3 = F )
& ( n5 = E ) )
& ~ ( ( n4 = E )
& ( n4 = F ) )
& ~ ( ( n4 = E )
& ( n5 = F ) )
& ~ ( ( n4 = F )
& ( n5 = E ) )
& ~ ( ( n5 = E )
& ( n5 = F ) )
& ( n0 = F )
& ( n3 = E )
& ( n3 = F ) )
| ( n0 = a_select2(xinit_noise,n3) ) ) ) )),
rewrite(( ( ( leq(n0,E)
& leq(n0,F)
& leq(E,n5)
& leq(F,n5) )
=> ( ~ ( ~ ( ( n0 = E )
& ( n4 = F ) )
& ~ ( ( n0 = E )
& ( n5 = F ) )
& ~ ( ( n0 = F )
& ( n4 = E ) )
& ~ ( ( n0 = F )
& ( n5 = E ) )
& ~ ( ( n1 = E )
& ( n4 = F ) )
& ~ ( ( n1 = E )
& ( n5 = F ) )
& ~ ( ( n1 = F )
& ( n3 = E ) )
& ~ ( ( n1 = F )
& ( n4 = E ) )
& ~ ( ( n1 = F )
& ( n5 = E ) )
& ~ ( ( n2 = E )
& ( n4 = F ) )
& ~ ( ( n2 = E )
& ( n5 = F ) )
& ~ ( ( n2 = F )
& ( n3 = E ) )
& ~ ( ( n2 = F )
& ( n4 = E ) )
& ~ ( ( n2 = F )
& ( n5 = E ) )
& ~ ( ( n3 = E )
& ( n3 = F ) )
& ~ ( ( n3 = E )
& ( n4 = F ) )
& ~ ( ( n3 = E )
& ( n5 = F ) )
& ~ ( ( n3 = F )
& ( n4 = E ) )
& ~ ( ( n3 = F )
& ( n5 = E ) )
& ~ ( ( n4 = E )
& ( n4 = F ) )
& ~ ( ( n4 = E )
& ( n5 = F ) )
& ~ ( ( n4 = F )
& ( n5 = E ) )
& ~ ( ( n5 = E )
& ( n5 = F ) )
& ( n0 = F )
& ( n3 = E )
& ( n3 = F ) )
| ( n0 = a_select2(xinit_noise,n3) ) ) )
<=> ( ( n0 = a_select2(xinit_noise,n3) )
| ~ ( leq(n0,E)
& leq(n0,F)
& leq(E,n5)
& leq(F,n5) )
| ~ ( ~ ( ( n0 = E )
& ( n4 = F ) )
& ~ ( ( n0 = E )
& ( n5 = F ) )
& ~ ( ( n0 = F )
& ( n4 = E ) )
& ~ ( ( n0 = F )
& ( n5 = E ) )
& ~ ( ( n1 = E )
& ( n4 = F ) )
& ~ ( ( n1 = E )
& ( n5 = F ) )
& ~ ( ( n1 = F )
& ( n3 = E ) )
& ~ ( ( n1 = F )
& ( n4 = E ) )
& ~ ( ( n1 = F )
& ( n5 = E ) )
& ~ ( ( n2 = E )
& ( n4 = F ) )
& ~ ( ( n2 = E )
& ( n5 = F ) )
& ~ ( ( n2 = F )
& ( n3 = E ) )
& ~ ( ( n2 = F )
& ( n4 = E ) )
& ~ ( ( n2 = F )
& ( n5 = E ) )
& ~ ( ( n3 = E )
& ( n3 = F ) )
& ~ ( ( n3 = E )
& ( n4 = F ) )
& ~ ( ( n3 = E )
& ( n5 = F ) )
& ~ ( ( n3 = F )
& ( n4 = E ) )
& ~ ( ( n3 = F )
& ( n5 = E ) )
& ~ ( ( n4 = E )
& ( n4 = F ) )
& ~ ( ( n4 = E )
& ( n5 = F ) )
& ~ ( ( n4 = F )
& ( n5 = E ) )
& ~ ( ( n5 = E )
& ( n5 = F ) )
& ( n0 = F )
& ( n3 = E )
& ( n3 = F ) ) ) )),
( ( ( leq(n0,E)
& leq(n0,F)
& leq(E,n5)
& leq(F,n5) )
=> ( ( ~ ( ( n0 = E )
& ( n4 = F ) )
& ~ ( ( n0 = E )
& ( n5 = F ) )
& ~ ( ( n0 = F )
& ( n4 = E ) )
& ~ ( ( n0 = F )
& ( n5 = E ) )
& ~ ( ( n1 = E )
& ( n4 = F ) )
& ~ ( ( n1 = E )
& ( n5 = F ) )
& ~ ( ( n1 = F )
& ( n3 = E ) )
& ~ ( ( n1 = F )
& ( n4 = E ) )
& ~ ( ( n1 = F )
& ( n5 = E ) )
& ~ ( ( n2 = E )
& ( n4 = F ) )
& ~ ( ( n2 = E )
& ( n5 = F ) )
& ~ ( ( n2 = F )
& ( n3 = E ) )
& ~ ( ( n2 = F )
& ( n4 = E ) )
& ~ ( ( n2 = F )
& ( n5 = E ) )
& ~ ( ( n3 = E )
& ( n3 = F ) )
& ~ ( ( n3 = E )
& ( n4 = F ) )
& ~ ( ( n3 = E )
& ( n5 = F ) )
& ~ ( ( n3 = F )
& ( n4 = E ) )
& ~ ( ( n3 = F )
& ( n5 = E ) )
& ~ ( ( n4 = E )
& ( n4 = F ) )
& ~ ( ( n4 = E )
& ( n5 = F ) )
& ~ ( ( n4 = F )
& ( n5 = E ) )
& ~ ( ( n5 = E )
& ( n5 = F ) )
& ( n0 = F )
& ( n3 = E )
& ( n3 = F ) )
=> ( n0 = a_select2(xinit_noise,n3) ) ) )
<=> ( ( n0 = a_select2(xinit_noise,n3) )
| ~ ( leq(n0,E)
& leq(n0,F)
& leq(E,n5)
& leq(F,n5) )
| ~ ( ~ ( ( n0 = E )
& ( n4 = F ) )
& ~ ( ( n0 = E )
& ( n5 = F ) )
& ~ ( ( n0 = F )
& ( n4 = E ) )
& ~ ( ( n0 = F )
& ( n5 = E ) )
& ~ ( ( n1 = E )
& ( n4 = F ) )
& ~ ( ( n1 = E )
& ( n5 = F ) )
& ~ ( ( n1 = F )
& ( n3 = E ) )
& ~ ( ( n1 = F )
& ( n4 = E ) )
& ~ ( ( n1 = F )
& ( n5 = E ) )
& ~ ( ( n2 = E )
& ( n4 = F ) )
& ~ ( ( n2 = E )
& ( n5 = F ) )
& ~ ( ( n2 = F )
& ( n3 = E ) )
& ~ ( ( n2 = F )
& ( n4 = E ) )
& ~ ( ( n2 = F )
& ( n5 = E ) )
& ~ ( ( n3 = E )
& ( n3 = F ) )
& ~ ( ( n3 = E )
& ( n4 = F ) )
& ~ ( ( n3 = E )
& ( n5 = F ) )
& ~ ( ( n3 = F )
& ( n4 = E ) )
& ~ ( ( n3 = F )
& ( n5 = E ) )
& ~ ( ( n4 = E )
& ( n4 = F ) )
& ~ ( ( n4 = E )
& ( n5 = F ) )
& ~ ( ( n4 = F )
& ( n5 = E ) )
& ~ ( ( n5 = E )
& ( n5 = F ) )
& ( n0 = F )
& ( n3 = E )
& ( n3 = F ) ) ) )),
inference(bind,[status(th)],[]) ).
tff(29,plain,
( ! [E: $i,F: $i] :
( ( leq(n0,E)
& leq(n0,F)
& leq(E,n5)
& leq(F,n5) )
=> ( ( ~ ( ( n0 = E )
& ( n4 = F ) )
& ~ ( ( n0 = E )
& ( n5 = F ) )
& ~ ( ( n0 = F )
& ( n4 = E ) )
& ~ ( ( n0 = F )
& ( n5 = E ) )
& ~ ( ( n1 = E )
& ( n4 = F ) )
& ~ ( ( n1 = E )
& ( n5 = F ) )
& ~ ( ( n1 = F )
& ( n3 = E ) )
& ~ ( ( n1 = F )
& ( n4 = E ) )
& ~ ( ( n1 = F )
& ( n5 = E ) )
& ~ ( ( n2 = E )
& ( n4 = F ) )
& ~ ( ( n2 = E )
& ( n5 = F ) )
& ~ ( ( n2 = F )
& ( n3 = E ) )
& ~ ( ( n2 = F )
& ( n4 = E ) )
& ~ ( ( n2 = F )
& ( n5 = E ) )
& ~ ( ( n3 = E )
& ( n3 = F ) )
& ~ ( ( n3 = E )
& ( n4 = F ) )
& ~ ( ( n3 = E )
& ( n5 = F ) )
& ~ ( ( n3 = F )
& ( n4 = E ) )
& ~ ( ( n3 = F )
& ( n5 = E ) )
& ~ ( ( n4 = E )
& ( n4 = F ) )
& ~ ( ( n4 = E )
& ( n5 = F ) )
& ~ ( ( n4 = F )
& ( n5 = E ) )
& ~ ( ( n5 = E )
& ( n5 = F ) )
& ( n0 = F )
& ( n3 = E )
& ( n3 = F ) )
=> ( n0 = a_select2(xinit_noise,n3) ) ) )
<=> ! [E: $i,F: $i] :
( ( n0 = a_select2(xinit_noise,n3) )
| ~ ( leq(n0,E)
& leq(n0,F)
& leq(E,n5)
& leq(F,n5) )
| ~ ( ~ ( ( n0 = E )
& ( n4 = F ) )
& ~ ( ( n0 = E )
& ( n5 = F ) )
& ~ ( ( n0 = F )
& ( n4 = E ) )
& ~ ( ( n0 = F )
& ( n5 = E ) )
& ~ ( ( n1 = E )
& ( n4 = F ) )
& ~ ( ( n1 = E )
& ( n5 = F ) )
& ~ ( ( n1 = F )
& ( n3 = E ) )
& ~ ( ( n1 = F )
& ( n4 = E ) )
& ~ ( ( n1 = F )
& ( n5 = E ) )
& ~ ( ( n2 = E )
& ( n4 = F ) )
& ~ ( ( n2 = E )
& ( n5 = F ) )
& ~ ( ( n2 = F )
& ( n3 = E ) )
& ~ ( ( n2 = F )
& ( n4 = E ) )
& ~ ( ( n2 = F )
& ( n5 = E ) )
& ~ ( ( n3 = E )
& ( n3 = F ) )
& ~ ( ( n3 = E )
& ( n4 = F ) )
& ~ ( ( n3 = E )
& ( n5 = F ) )
& ~ ( ( n3 = F )
& ( n4 = E ) )
& ~ ( ( n3 = F )
& ( n5 = E ) )
& ~ ( ( n4 = E )
& ( n4 = F ) )
& ~ ( ( n4 = E )
& ( n5 = F ) )
& ~ ( ( n4 = F )
& ( n5 = E ) )
& ~ ( ( n5 = E )
& ( n5 = F ) )
& ( n0 = F )
& ( n3 = E )
& ( n3 = F ) ) ) ),
inference(quant_intro,[status(thm)],[28]) ).
tff(30,plain,
( ! [E: $i,F: $i] :
( ( leq(n0,E)
& leq(n0,F)
& leq(E,n5)
& leq(F,n5) )
=> ( ( ~ ( ( n0 = E )
& ( n4 = F ) )
& ~ ( ( n0 = E )
& ( n5 = F ) )
& ~ ( ( n0 = F )
& ( n4 = E ) )
& ~ ( ( n0 = F )
& ( n5 = E ) )
& ~ ( ( n1 = E )
& ( n4 = F ) )
& ~ ( ( n1 = E )
& ( n5 = F ) )
& ~ ( ( n1 = F )
& ( n3 = E ) )
& ~ ( ( n1 = F )
& ( n4 = E ) )
& ~ ( ( n1 = F )
& ( n5 = E ) )
& ~ ( ( n2 = E )
& ( n4 = F ) )
& ~ ( ( n2 = E )
& ( n5 = F ) )
& ~ ( ( n2 = F )
& ( n3 = E ) )
& ~ ( ( n2 = F )
& ( n4 = E ) )
& ~ ( ( n2 = F )
& ( n5 = E ) )
& ~ ( ( n3 = E )
& ( n3 = F ) )
& ~ ( ( n3 = E )
& ( n4 = F ) )
& ~ ( ( n3 = E )
& ( n5 = F ) )
& ~ ( ( n3 = F )
& ( n4 = E ) )
& ~ ( ( n3 = F )
& ( n5 = E ) )
& ~ ( ( n4 = E )
& ( n4 = F ) )
& ~ ( ( n4 = E )
& ( n5 = F ) )
& ~ ( ( n4 = F )
& ( n5 = E ) )
& ~ ( ( n5 = E )
& ( n5 = F ) )
& ( n0 = F )
& ( n3 = E )
& ( n3 = F ) )
=> ( n0 = a_select2(xinit_noise,n3) ) ) )
<=> $true ),
inference(transitivity,[status(thm)],[29,27]) ).
tff(31,plain,
( ( ! [A: $i,B: $i] :
( ( leq(n0,A)
& leq(n0,B)
& leq(A,n5)
& leq(B,n5) )
=> ( a_select3(q_ds1_filter,A,B) = a_select3(q_ds1_filter,B,A) ) )
& ! [C: $i,D: $i] :
( ( leq(n0,C)
& leq(n0,D)
& leq(C,n2)
& leq(D,n2) )
=> ( a_select3(r_ds1_filter,C,D) = a_select3(r_ds1_filter,D,C) ) ) )
<=> ( ! [A: $i,B: $i] :
( ~ ( leq(n0,A)
& leq(n0,B)
& leq(A,n5)
& leq(B,n5) )
| ( a_select3(q_ds1_filter,A,B) = a_select3(q_ds1_filter,B,A) ) )
& ! [C: $i,D: $i] :
( ~ ( leq(n0,C)
& leq(n0,D)
& leq(C,n2)
& leq(D,n2) )
| ( a_select3(r_ds1_filter,C,D) = a_select3(r_ds1_filter,D,C) ) ) ) ),
inference(rewrite,[status(thm)],[]) ).
tff(32,plain,
( ( ( ! [A: $i,B: $i] :
( ( leq(n0,A)
& leq(n0,B)
& leq(A,n5)
& leq(B,n5) )
=> ( a_select3(q_ds1_filter,A,B) = a_select3(q_ds1_filter,B,A) ) )
& ! [C: $i,D: $i] :
( ( leq(n0,C)
& leq(n0,D)
& leq(C,n2)
& leq(D,n2) )
=> ( a_select3(r_ds1_filter,C,D) = a_select3(r_ds1_filter,D,C) ) ) )
=> ! [E: $i,F: $i] :
( ( leq(n0,E)
& leq(n0,F)
& leq(E,n5)
& leq(F,n5) )
=> ( ( ~ ( ( n0 = E )
& ( n4 = F ) )
& ~ ( ( n0 = E )
& ( n5 = F ) )
& ~ ( ( n0 = F )
& ( n4 = E ) )
& ~ ( ( n0 = F )
& ( n5 = E ) )
& ~ ( ( n1 = E )
& ( n4 = F ) )
& ~ ( ( n1 = E )
& ( n5 = F ) )
& ~ ( ( n1 = F )
& ( n3 = E ) )
& ~ ( ( n1 = F )
& ( n4 = E ) )
& ~ ( ( n1 = F )
& ( n5 = E ) )
& ~ ( ( n2 = E )
& ( n4 = F ) )
& ~ ( ( n2 = E )
& ( n5 = F ) )
& ~ ( ( n2 = F )
& ( n3 = E ) )
& ~ ( ( n2 = F )
& ( n4 = E ) )
& ~ ( ( n2 = F )
& ( n5 = E ) )
& ~ ( ( n3 = E )
& ( n3 = F ) )
& ~ ( ( n3 = E )
& ( n4 = F ) )
& ~ ( ( n3 = E )
& ( n5 = F ) )
& ~ ( ( n3 = F )
& ( n4 = E ) )
& ~ ( ( n3 = F )
& ( n5 = E ) )
& ~ ( ( n4 = E )
& ( n4 = F ) )
& ~ ( ( n4 = E )
& ( n5 = F ) )
& ~ ( ( n4 = F )
& ( n5 = E ) )
& ~ ( ( n5 = E )
& ( n5 = F ) )
& ( n0 = F )
& ( n3 = E )
& ( n3 = F ) )
=> ( n0 = a_select2(xinit_noise,n3) ) ) ) )
<=> ( ( ! [A: $i,B: $i] :
( ~ ( leq(n0,A)
& leq(n0,B)
& leq(A,n5)
& leq(B,n5) )
| ( a_select3(q_ds1_filter,A,B) = a_select3(q_ds1_filter,B,A) ) )
& ! [C: $i,D: $i] :
( ~ ( leq(n0,C)
& leq(n0,D)
& leq(C,n2)
& leq(D,n2) )
| ( a_select3(r_ds1_filter,C,D) = a_select3(r_ds1_filter,D,C) ) ) )
=> $true ) ),
inference(monotonicity,[status(thm)],[31,30]) ).
tff(33,plain,
( ( ( ! [A: $i,B: $i] :
( ( leq(n0,A)
& leq(n0,B)
& leq(A,n5)
& leq(B,n5) )
=> ( a_select3(q_ds1_filter,A,B) = a_select3(q_ds1_filter,B,A) ) )
& ! [C: $i,D: $i] :
( ( leq(n0,C)
& leq(n0,D)
& leq(C,n2)
& leq(D,n2) )
=> ( a_select3(r_ds1_filter,C,D) = a_select3(r_ds1_filter,D,C) ) ) )
=> ! [E: $i,F: $i] :
( ( leq(n0,E)
& leq(n0,F)
& leq(E,n5)
& leq(F,n5) )
=> ( ( ~ ( ( n0 = E )
& ( n4 = F ) )
& ~ ( ( n0 = E )
& ( n5 = F ) )
& ~ ( ( n0 = F )
& ( n4 = E ) )
& ~ ( ( n0 = F )
& ( n5 = E ) )
& ~ ( ( n1 = E )
& ( n4 = F ) )
& ~ ( ( n1 = E )
& ( n5 = F ) )
& ~ ( ( n1 = F )
& ( n3 = E ) )
& ~ ( ( n1 = F )
& ( n4 = E ) )
& ~ ( ( n1 = F )
& ( n5 = E ) )
& ~ ( ( n2 = E )
& ( n4 = F ) )
& ~ ( ( n2 = E )
& ( n5 = F ) )
& ~ ( ( n2 = F )
& ( n3 = E ) )
& ~ ( ( n2 = F )
& ( n4 = E ) )
& ~ ( ( n2 = F )
& ( n5 = E ) )
& ~ ( ( n3 = E )
& ( n3 = F ) )
& ~ ( ( n3 = E )
& ( n4 = F ) )
& ~ ( ( n3 = E )
& ( n5 = F ) )
& ~ ( ( n3 = F )
& ( n4 = E ) )
& ~ ( ( n3 = F )
& ( n5 = E ) )
& ~ ( ( n4 = E )
& ( n4 = F ) )
& ~ ( ( n4 = E )
& ( n5 = F ) )
& ~ ( ( n4 = F )
& ( n5 = E ) )
& ~ ( ( n5 = E )
& ( n5 = F ) )
& ( n0 = F )
& ( n3 = E )
& ( n3 = F ) )
=> ( n0 = a_select2(xinit_noise,n3) ) ) ) )
<=> $true ),
inference(transitivity,[status(thm)],[32,2]) ).
tff(34,plain,
( ~ ( ( ! [A: $i,B: $i] :
( ( leq(n0,A)
& leq(n0,B)
& leq(A,n5)
& leq(B,n5) )
=> ( a_select3(q_ds1_filter,A,B) = a_select3(q_ds1_filter,B,A) ) )
& ! [C: $i,D: $i] :
( ( leq(n0,C)
& leq(n0,D)
& leq(C,n2)
& leq(D,n2) )
=> ( a_select3(r_ds1_filter,C,D) = a_select3(r_ds1_filter,D,C) ) ) )
=> ! [E: $i,F: $i] :
( ( leq(n0,E)
& leq(n0,F)
& leq(E,n5)
& leq(F,n5) )
=> ( ( ~ ( ( n0 = E )
& ( n4 = F ) )
& ~ ( ( n0 = E )
& ( n5 = F ) )
& ~ ( ( n0 = F )
& ( n4 = E ) )
& ~ ( ( n0 = F )
& ( n5 = E ) )
& ~ ( ( n1 = E )
& ( n4 = F ) )
& ~ ( ( n1 = E )
& ( n5 = F ) )
& ~ ( ( n1 = F )
& ( n3 = E ) )
& ~ ( ( n1 = F )
& ( n4 = E ) )
& ~ ( ( n1 = F )
& ( n5 = E ) )
& ~ ( ( n2 = E )
& ( n4 = F ) )
& ~ ( ( n2 = E )
& ( n5 = F ) )
& ~ ( ( n2 = F )
& ( n3 = E ) )
& ~ ( ( n2 = F )
& ( n4 = E ) )
& ~ ( ( n2 = F )
& ( n5 = E ) )
& ~ ( ( n3 = E )
& ( n3 = F ) )
& ~ ( ( n3 = E )
& ( n4 = F ) )
& ~ ( ( n3 = E )
& ( n5 = F ) )
& ~ ( ( n3 = F )
& ( n4 = E ) )
& ~ ( ( n3 = F )
& ( n5 = E ) )
& ~ ( ( n4 = E )
& ( n4 = F ) )
& ~ ( ( n4 = E )
& ( n5 = F ) )
& ~ ( ( n4 = F )
& ( n5 = E ) )
& ~ ( ( n5 = E )
& ( n5 = F ) )
& ( n0 = F )
& ( n3 = E )
& ( n3 = F ) )
=> ( n0 = a_select2(xinit_noise,n3) ) ) ) )
<=> ~ $true ),
inference(monotonicity,[status(thm)],[33]) ).
tff(35,plain,
( ~ ( ( ! [A: $i,B: $i] :
( ( leq(n0,A)
& leq(n0,B)
& leq(A,n5)
& leq(B,n5) )
=> ( a_select3(q_ds1_filter,A,B) = a_select3(q_ds1_filter,B,A) ) )
& ! [C: $i,D: $i] :
( ( leq(n0,C)
& leq(n0,D)
& leq(C,n2)
& leq(D,n2) )
=> ( a_select3(r_ds1_filter,C,D) = a_select3(r_ds1_filter,D,C) ) ) )
=> ! [E: $i,F: $i] :
( ( leq(n0,E)
& leq(n0,F)
& leq(E,n5)
& leq(F,n5) )
=> ( ( ~ ( ( n0 = E )
& ( n4 = F ) )
& ~ ( ( n0 = E )
& ( n5 = F ) )
& ~ ( ( n0 = F )
& ( n4 = E ) )
& ~ ( ( n0 = F )
& ( n5 = E ) )
& ~ ( ( n1 = E )
& ( n4 = F ) )
& ~ ( ( n1 = E )
& ( n5 = F ) )
& ~ ( ( n1 = F )
& ( n3 = E ) )
& ~ ( ( n1 = F )
& ( n4 = E ) )
& ~ ( ( n1 = F )
& ( n5 = E ) )
& ~ ( ( n2 = E )
& ( n4 = F ) )
& ~ ( ( n2 = E )
& ( n5 = F ) )
& ~ ( ( n2 = F )
& ( n3 = E ) )
& ~ ( ( n2 = F )
& ( n4 = E ) )
& ~ ( ( n2 = F )
& ( n5 = E ) )
& ~ ( ( n3 = E )
& ( n3 = F ) )
& ~ ( ( n3 = E )
& ( n4 = F ) )
& ~ ( ( n3 = E )
& ( n5 = F ) )
& ~ ( ( n3 = F )
& ( n4 = E ) )
& ~ ( ( n3 = F )
& ( n5 = E ) )
& ~ ( ( n4 = E )
& ( n4 = F ) )
& ~ ( ( n4 = E )
& ( n5 = F ) )
& ~ ( ( n4 = F )
& ( n5 = E ) )
& ~ ( ( n5 = E )
& ( n5 = F ) )
& ( n0 = F )
& ( n3 = E )
& ( n3 = F ) )
=> ( n0 = a_select2(xinit_noise,n3) ) ) ) )
<=> $false ),
inference(transitivity,[status(thm)],[34,1]) ).
tff(36,axiom,
~ ( ( ! [A: $i,B: $i] :
( ( leq(n0,A)
& leq(n0,B)
& leq(A,n5)
& leq(B,n5) )
=> ( a_select3(q_ds1_filter,A,B) = a_select3(q_ds1_filter,B,A) ) )
& ! [C: $i,D: $i] :
( ( leq(n0,C)
& leq(n0,D)
& leq(C,n2)
& leq(D,n2) )
=> ( a_select3(r_ds1_filter,C,D) = a_select3(r_ds1_filter,D,C) ) ) )
=> ! [E: $i,F: $i] :
( ( leq(n0,E)
& leq(n0,F)
& leq(E,n5)
& leq(F,n5) )
=> ( ( ~ ( ( n0 = E )
& ( n4 = F ) )
& ~ ( ( n0 = E )
& ( n5 = F ) )
& ~ ( ( n0 = F )
& ( n4 = E ) )
& ~ ( ( n0 = F )
& ( n5 = E ) )
& ~ ( ( n1 = E )
& ( n4 = F ) )
& ~ ( ( n1 = E )
& ( n5 = F ) )
& ~ ( ( n1 = F )
& ( n3 = E ) )
& ~ ( ( n1 = F )
& ( n4 = E ) )
& ~ ( ( n1 = F )
& ( n5 = E ) )
& ~ ( ( n2 = E )
& ( n4 = F ) )
& ~ ( ( n2 = E )
& ( n5 = F ) )
& ~ ( ( n2 = F )
& ( n3 = E ) )
& ~ ( ( n2 = F )
& ( n4 = E ) )
& ~ ( ( n2 = F )
& ( n5 = E ) )
& ~ ( ( n3 = E )
& ( n3 = F ) )
& ~ ( ( n3 = E )
& ( n4 = F ) )
& ~ ( ( n3 = E )
& ( n5 = F ) )
& ~ ( ( n3 = F )
& ( n4 = E ) )
& ~ ( ( n3 = F )
& ( n5 = E ) )
& ~ ( ( n4 = E )
& ( n4 = F ) )
& ~ ( ( n4 = E )
& ( n5 = F ) )
& ~ ( ( n4 = F )
& ( n5 = E ) )
& ~ ( ( n5 = E )
& ( n5 = F ) )
& ( n0 = F )
& ( n3 = E )
& ( n3 = F ) )
=> ( n0 = a_select2(xinit_noise,n3) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',quaternion_ds1_symm_0681) ).
tff(37,plain,
$false,
inference(modus_ponens,[status(thm)],[36,35]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.12/0.13 % Problem : SWV228+1 : TPTP v9.0.0. Bugfixed v3.3.0.
% 0.12/0.13 % Command : run_E %s %d THM
% 0.12/0.35 % Computer : n015.cluster.edu
% 0.12/0.35 % Model : x86_64 x86_64
% 0.12/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.35 % Memory : 8042.1875MB
% 0.12/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.35 % CPULimit : 300
% 0.12/0.35 % WCLimit : 300
% 0.12/0.35 % DateTime : Fri Jun 20 09:32:10 EDT 2025
% 0.12/0.35 % CPUTime :
% 0.12/0.40 % SZS status Theorem
% 0.12/0.40 % SZS output start Proof
% See solution above
% 0.20/0.50 % E exiting
%------------------------------------------------------------------------------