%------------------------------------------------------------------------------
% File : PLA059_1.014 : TPTP v9.0.0. Released v9.0.0.
% Domain : Planning
% Problem : Path from the entry to the exit of a labyrinth 14
% Version : Especial.
% English : The formula is the path from the entry to the exit of a
% labyrinth. It makes no difference whether one starts at the
% entry or at the exit.
% Refs : [BHS00] Balsiger et al. (2000), A Benchmark Method for the Pro
% : [NH+22] Nalon et al. (2022), Local Reductions for the Modal Cu
% : [Nal22] Nalon (2022), Email to Geoff Sutcliffe
% : [NH+23] Nalon et al. (2023), Buy One Get 14 Free: Evaluating L
% Source : [Nal22]
% Names : s5_path_p.0014 [Nal22]
% Status : Theorem
% Rating : 0.00 v9.0.0
% Syntax : Number of formulae : 20 ( 0 unt; 19 typ; 0 def)
% Number of atoms : 2092 ( 0 equ)
% Maximal formula atoms : 2092 (2092 avg)
% Number of connectives : 6929 (1047 ~;1042 |;1049 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% (3791 {.}; 0 {#})
% Maximal formula depth : 236 ( 236 avg)
% Maximal term depth : 0 ( 0 avg)
% Number of types : 1 ( 0 usr)
% Number of type conns : 0 ( 0 >; 0 *; 0 +; 0 <<)
% Number of predicates : 19 ( 19 usr; 19 prp; 0-0 aty)
% Number of functors : 0 ( 0 usr; 0 con; --- aty)
% Number of variables : 0 (; 0 !; 0 ?; 0 :)
% SPC : NX0_THM_PRP_NEQ_NAR
% Comments :
%------------------------------------------------------------------------------
tff('s5_path_p.0014',logic,
$modal ==
[ $modalities == $modal_system_S5 ] ).
tff(p1_decl,type,
p1: $o ).
tff(p2_decl,type,
p2: $o ).
tff(p3_decl,type,
p3: $o ).
tff(p4_decl,type,
p4: $o ).
tff(p5_decl,type,
p5: $o ).
tff(p6_decl,type,
p6: $o ).
tff(x0_decl,type,
x0: $o ).
tff(y1_decl,type,
y1: $o ).
tff(y2_decl,type,
y2: $o ).
tff(y3_decl,type,
y3: $o ).
tff(y4_decl,type,
y4: $o ).
tff(y5_decl,type,
y5: $o ).
tff(y6_decl,type,
y6: $o ).
tff(z1_decl,type,
z1: $o ).
tff(z2_decl,type,
z2: $o ).
tff(z3_decl,type,
z3: $o ).
tff(z4_decl,type,
z4: $o ).
tff(z5_decl,type,
z5: $o ).
tff(z6_decl,type,
z6: $o ).
tff(prove,conjecture,
~ ( ( x0
& [.] ~ x0 )
| ( <.> ( ~ p1
| ( ~ y1
& [.] y1 )
| ( ~ z1
& <.> <.> <.> [.] z1 ) )
& <.> ( ~ p2
| ( ~ y2
& [.] y2 )
| ( ~ z2
& <.> <.> <.> [.] z2 ) )
& <.> ( ~ p3
| ( ~ y3
& [.] y3 )
| ( ~ z3
& <.> <.> <.> [.] z3 ) )
& <.> ( ~ p5
| ( ~ y5
& [.] y5 )
| ( ~ z5
& <.> <.> <.> [.] z5 ) )
& [.] ( p1
| ( ~ y1
& [.] y1 )
| ( ~ z1
& <.> <.> <.> [.] z1 )
| <.> ( ~ p3
| ( ~ y3
& [.] y3 )
| ( ~ z3
& <.> <.> <.> [.] z3 ) ) )
& [.] ( p1
| ( ~ y1
& [.] y1 )
| ( ~ z1
& <.> <.> <.> [.] z1 )
| <.> ( ~ p5
| ( ~ y5
& [.] y5 )
| ( ~ z5
& <.> <.> <.> [.] z5 ) ) )
& [.] ( p2
| ( ~ y2
& [.] y2 )
| ( ~ z2
& <.> <.> <.> [.] z2 )
| <.> ( ~ p1
| ( ~ y1
& [.] y1 )
| ( ~ z1
& <.> <.> <.> [.] z1 ) ) )
& [.] ( p3
| ( ~ y3
& [.] y3 )
| ( ~ z3
& <.> <.> <.> [.] z3 )
| <.> ( ~ p3
| ( ~ y3
& [.] y3 )
| ( ~ z3
& <.> <.> <.> [.] z3 ) ) )
& [.] ( p3
| ( ~ y3
& [.] y3 )
| ( ~ z3
& <.> <.> <.> [.] z3 )
| <.> ( ~ p5
| ( ~ y5
& [.] y5 )
| ( ~ z5
& <.> <.> <.> [.] z5 ) ) )
& [.] ( p5
| ( ~ y5
& [.] y5 )
| ( ~ z5
& <.> <.> <.> [.] z5 )
| <.> ( ~ p3
| ( ~ y3
& [.] y3 )
| ( ~ z3
& <.> <.> <.> [.] z3 ) ) )
& [.] ( p5
| ( ~ y5
& [.] y5 )
| ( ~ z5
& <.> <.> <.> [.] z5 )
| <.> ( ~ p5
| ( ~ y5
& [.] y5 )
| ( ~ z5
& <.> <.> <.> [.] z5 ) ) )
& [.] [.] ( p1
| ( ~ y1
& [.] y1 )
| ( ~ z1
& <.> <.> <.> [.] z1 )
| <.> ( ~ p1
| ( ~ y1
& [.] y1 )
| ( ~ z1
& <.> <.> <.> [.] z1 ) ) )
& [.] [.] ( p1
| ( ~ y1
& [.] y1 )
| ( ~ z1
& <.> <.> <.> [.] z1 )
| <.> ( ~ p3
| ( ~ y3
& [.] y3 )
| ( ~ z3
& <.> <.> <.> [.] z3 ) ) )
& [.] [.] ( p1
| ( ~ y1
& [.] y1 )
| ( ~ z1
& <.> <.> <.> [.] z1 )
| <.> ( ~ p6
| ( ~ y6
& [.] y6 )
| ( ~ z6
& <.> <.> <.> [.] z6 ) ) )
& [.] [.] ( p1
| ( ~ y1
& [.] y1 )
| ( ~ z1
& <.> <.> <.> [.] z1 )
| <.> ( ~ p5
| ( ~ y5
& [.] y5 )
| ( ~ z5
& <.> <.> <.> [.] z5 ) ) )
& [.] ( p4
| ( ~ y4
& [.] y4 )
| ( ~ z4
& <.> <.> <.> [.] z4 )
| <.> ( ~ p2
| ( ~ y2
& [.] y2 )
| ( ~ z2
& <.> <.> <.> [.] z2 ) ) )
& [.] ( p6
| ( ~ y6
& [.] y6 )
| ( ~ z6
& <.> <.> <.> [.] z6 )
| <.> ( ~ p2
| ( ~ y2
& [.] y2 )
| ( ~ z2
& <.> <.> <.> [.] z2 ) ) )
& [.] [.] ( p3
| ( ~ y3
& [.] y3 )
| ( ~ z3
& <.> <.> <.> [.] z3 )
| <.> ( ~ p1
| ( ~ y1
& [.] y1 )
| ( ~ z1
& <.> <.> <.> [.] z1 ) ) )
& [.] [.] ( p3
| ( ~ y3
& [.] y3 )
| ( ~ z3
& <.> <.> <.> [.] z3 )
| <.> ( ~ p3
| ( ~ y3
& [.] y3 )
| ( ~ z3
& <.> <.> <.> [.] z3 ) ) )
& [.] [.] ( p3
| ( ~ y3
& [.] y3 )
| ( ~ z3
& <.> <.> <.> [.] z3 )
| <.> ( ~ p5
| ( ~ y5
& [.] y5 )
| ( ~ z5
& <.> <.> <.> [.] z5 ) ) )
& [.] ( p4
| ( ~ y4
& [.] y4 )
| ( ~ z4
& <.> <.> <.> [.] z4 )
| <.> ( ~ p4
| ( ~ y4
& [.] y4 )
| ( ~ z4
& <.> <.> <.> [.] z4 ) ) )
& [.] ( p6
| ( ~ y6
& [.] y6 )
| ( ~ z6
& <.> <.> <.> [.] z6 )
| <.> ( ~ p4
| ( ~ y4
& [.] y4 )
| ( ~ z4
& <.> <.> <.> [.] z4 ) ) )
& [.] [.] ( p5
| ( ~ y5
& [.] y5 )
| ( ~ z5
& <.> <.> <.> [.] z5 )
| <.> ( ~ p1
| ( ~ y1
& [.] y1 )
| ( ~ z1
& <.> <.> <.> [.] z1 ) ) )
& [.] [.] ( p5
| ( ~ y5
& [.] y5 )
| ( ~ z5
& <.> <.> <.> [.] z5 )
| <.> ( ~ p3
| ( ~ y3
& [.] y3 )
| ( ~ z3
& <.> <.> <.> [.] z3 ) ) )
& [.] [.] ( p5
| ( ~ y5
& [.] y5 )
| ( ~ z5
& <.> <.> <.> [.] z5 )
| <.> ( ~ p5
| ( ~ y5
& [.] y5 )
| ( ~ z5
& <.> <.> <.> [.] z5 ) ) )
& [.] ( p4
| ( ~ y4
& [.] y4 )
| ( ~ z4
& <.> <.> <.> [.] z4 )
| <.> ( ~ p6
| ( ~ y6
& [.] y6 )
| ( ~ z6
& <.> <.> <.> [.] z6 ) ) )
& [.] ( p6
| ( ~ y6
& [.] y6 )
| ( ~ z6
& <.> <.> <.> [.] z6 )
| <.> ( ~ p6
| ( ~ y6
& [.] y6 )
| ( ~ z6
& <.> <.> <.> [.] z6 ) ) )
& [.] [.] [.] ( p1
| ( ~ y1
& [.] y1 )
| ( ~ z1
& <.> <.> <.> [.] z1 )
| <.> ( ~ p1
| ( ~ y1
& [.] y1 )
| ( ~ z1
& <.> <.> <.> [.] z1 ) ) )
& [.] [.] [.] ( p1
| ( ~ y1
& [.] y1 )
| ( ~ z1
& <.> <.> <.> [.] z1 )
| <.> ( ~ p3
| ( ~ y3
& [.] y3 )
| ( ~ z3
& <.> <.> <.> [.] z3 ) ) )
& [.] [.] ( p2
| ( ~ y2
& [.] y2 )
| ( ~ z2
& <.> <.> <.> [.] z2 )
| <.> ( ~ p2
| ( ~ y2
& [.] y2 )
| ( ~ z2
& <.> <.> <.> [.] z2 ) ) )
& [.] [.] ( p4
| ( ~ y4
& [.] y4 )
| ( ~ z4
& <.> <.> <.> [.] z4 )
| <.> ( ~ p2
| ( ~ y2
& [.] y2 )
| ( ~ z2
& <.> <.> <.> [.] z2 ) ) )
& [.] [.] ( p6
| ( ~ y6
& [.] y6 )
| ( ~ z6
& <.> <.> <.> [.] z6 )
| <.> ( ~ p2
| ( ~ y2
& [.] y2 )
| ( ~ z2
& <.> <.> <.> [.] z2 ) ) )
& [.] [.] [.] ( p3
| ( ~ y3
& [.] y3 )
| ( ~ z3
& <.> <.> <.> [.] z3 )
| <.> ( ~ p1
| ( ~ y1
& [.] y1 )
| ( ~ z1
& <.> <.> <.> [.] z1 ) ) )
& [.] [.] [.] ( p3
| ( ~ y3
& [.] y3 )
| ( ~ z3
& <.> <.> <.> [.] z3 )
| <.> ( ~ p3
| ( ~ y3
& [.] y3 )
| ( ~ z3
& <.> <.> <.> [.] z3 ) ) )
& [.] [.] ( p2
| ( ~ y2
& [.] y2 )
| ( ~ z2
& <.> <.> <.> [.] z2 )
| <.> ( ~ p4
| ( ~ y4
& [.] y4 )
| ( ~ z4
& <.> <.> <.> [.] z4 ) ) )
& [.] [.] ( p4
| ( ~ y4
& [.] y4 )
| ( ~ z4
& <.> <.> <.> [.] z4 )
| <.> ( ~ p4
| ( ~ y4
& [.] y4 )
| ( ~ z4
& <.> <.> <.> [.] z4 ) ) )
& [.] [.] ( p6
| ( ~ y6
& [.] y6 )
| ( ~ z6
& <.> <.> <.> [.] z6 )
| <.> ( ~ p4
| ( ~ y4
& [.] y4 )
| ( ~ z4
& <.> <.> <.> [.] z4 ) ) )
& [.] [.] [.] ( p5
| ( ~ y5
& [.] y5 )
| ( ~ z5
& <.> <.> <.> [.] z5 )
| <.> ( ~ p1
| ( ~ y1
& [.] y1 )
| ( ~ z1
& <.> <.> <.> [.] z1 ) ) )
& [.] [.] [.] ( p5
| ( ~ y5
& [.] y5 )
| ( ~ z5
& <.> <.> <.> [.] z5 )
| <.> ( ~ p3
| ( ~ y3
& [.] y3 )
| ( ~ z3
& <.> <.> <.> [.] z3 ) ) )
& [.] [.] [.] ( p6
| ( ~ y6
& [.] y6 )
| ( ~ z6
& <.> <.> <.> [.] z6 )
| <.> ( ~ p5
| ( ~ y5
& [.] y5 )
| ( ~ z5
& <.> <.> <.> [.] z5 ) ) )
& [.] [.] ( p2
| ( ~ y2
& [.] y2 )
| ( ~ z2
& <.> <.> <.> [.] z2 )
| <.> ( ~ p6
| ( ~ y6
& [.] y6 )
| ( ~ z6
& <.> <.> <.> [.] z6 ) ) )
& [.] [.] ( p4
| ( ~ y4
& [.] y4 )
| ( ~ z4
& <.> <.> <.> [.] z4 )
| <.> ( ~ p6
| ( ~ y6
& [.] y6 )
| ( ~ z6
& <.> <.> <.> [.] z6 ) ) )
& [.] [.] ( p6
| ( ~ y6
& [.] y6 )
| ( ~ z6
& <.> <.> <.> [.] z6 )
| <.> ( ~ p6
| ( ~ y6
& [.] y6 )
| ( ~ z6
& <.> <.> <.> [.] z6 ) ) )
& [.] [.] [.] [.] ( p1
| ( ~ y1
& [.] y1 )
| ( ~ z1
& <.> <.> <.> [.] z1 )
| <.> ( ~ p1
| ( ~ y1
& [.] y1 )
| ( ~ z1
& <.> <.> <.> [.] z1 ) ) )
& [.] [.] [.] [.] ( p1
| ( ~ y1
& [.] y1 )
| ( ~ z1
& <.> <.> <.> [.] z1 )
| <.> ( ~ p3
| ( ~ y3
& [.] y3 )
| ( ~ z3
& <.> <.> <.> [.] z3 ) ) )
& [.] [.] [.] [.] ( p1
| ( ~ y1
& [.] y1 )
| ( ~ z1
& <.> <.> <.> [.] z1 )
| <.> ( ~ p5
| ( ~ y5
& [.] y5 )
| ( ~ z5
& <.> <.> <.> [.] z5 ) ) )
& [.] [.] [.] ( p2
| ( ~ y2
& [.] y2 )
| ( ~ z2
& <.> <.> <.> [.] z2 )
| <.> ( ~ p2
| ( ~ y2
& [.] y2 )
| ( ~ z2
& <.> <.> <.> [.] z2 ) ) )
& [.] [.] [.] ( p4
| ( ~ y4
& [.] y4 )
| ( ~ z4
& <.> <.> <.> [.] z4 )
| <.> ( ~ p2
| ( ~ y2
& [.] y2 )
| ( ~ z2
& <.> <.> <.> [.] z2 ) ) )
& [.] [.] [.] [.] ( p3
| ( ~ y3
& [.] y3 )
| ( ~ z3
& <.> <.> <.> [.] z3 )
| <.> ( ~ p1
| ( ~ y1
& [.] y1 )
| ( ~ z1
& <.> <.> <.> [.] z1 ) ) )
& [.] [.] [.] [.] ( p3
| ( ~ y3
& [.] y3 )
| ( ~ z3
& <.> <.> <.> [.] z3 )
| <.> ( ~ p3
| ( ~ y3
& [.] y3 )
| ( ~ z3
& <.> <.> <.> [.] z3 ) ) )
& [.] [.] [.] [.] ( p3
| ( ~ y3
& [.] y3 )
| ( ~ z3
& <.> <.> <.> [.] z3 )
| <.> ( ~ p5
| ( ~ y5
& [.] y5 )
| ( ~ z5
& <.> <.> <.> [.] z5 ) ) )
& [.] [.] [.] ( p2
| ( ~ y2
& [.] y2 )
| ( ~ z2
& <.> <.> <.> [.] z2 )
| <.> ( ~ p4
| ( ~ y4
& [.] y4 )
| ( ~ z4
& <.> <.> <.> [.] z4 ) ) )
& [.] [.] [.] ( p4
| ( ~ y4
& [.] y4 )
| ( ~ z4
& <.> <.> <.> [.] z4 )
| <.> ( ~ p4
| ( ~ y4
& [.] y4 )
| ( ~ z4
& <.> <.> <.> [.] z4 ) ) )
& [.] [.] [.] [.] ( p5
| ( ~ y5
& [.] y5 )
| ( ~ z5
& <.> <.> <.> [.] z5 )
| <.> ( ~ p1
| ( ~ y1
& [.] y1 )
| ( ~ z1
& <.> <.> <.> [.] z1 ) ) )
& [.] [.] [.] [.] ( p5
| ( ~ y5
& [.] y5 )
| ( ~ z5
& <.> <.> <.> [.] z5 )
| <.> ( ~ p3
| ( ~ y3
& [.] y3 )
| ( ~ z3
& <.> <.> <.> [.] z3 ) ) )
& [.] [.] [.] [.] ( p5
| ( ~ y5
& [.] y5 )
| ( ~ z5
& <.> <.> <.> [.] z5 )
| <.> ( ~ p4
| ( ~ y4
& [.] y4 )
| ( ~ z4
& <.> <.> <.> [.] z4 ) ) )
& [.] [.] [.] [.] ( p5
| ( ~ y5
& [.] y5 )
| ( ~ z5
& <.> <.> <.> [.] z5 )
| <.> ( ~ p5
| ( ~ y5
& [.] y5 )
| ( ~ z5
& <.> <.> <.> [.] z5 ) ) )
& [.] [.] [.] ( p2
| ( ~ y2
& [.] y2 )
| ( ~ z2
& <.> <.> <.> [.] z2 )
| <.> ( ~ p6
| ( ~ y6
& [.] y6 )
| ( ~ z6
& <.> <.> <.> [.] z6 ) ) )
& [.] [.] [.] ( p4
| ( ~ y4
& [.] y4 )
| ( ~ z4
& <.> <.> <.> [.] z4 )
| <.> ( ~ p6
| ( ~ y6
& [.] y6 )
| ( ~ z6
& <.> <.> <.> [.] z6 ) ) )
& [.] [.] [.] [.] [.] ( p1
| ( ~ y1
& [.] y1 )
| ( ~ z1
& <.> <.> <.> [.] z1 )
| <.> ( ~ p1
| ( ~ y1
& [.] y1 )
| ( ~ z1
& <.> <.> <.> [.] z1 ) ) )
& [.] [.] [.] [.] [.] ( p1
| ( ~ y1
& [.] y1 )
| ( ~ z1
& <.> <.> <.> [.] z1 )
| <.> ( ~ p5
| ( ~ y5
& [.] y5 )
| ( ~ z5
& <.> <.> <.> [.] z5 ) ) )
& [.] [.] [.] [.] ( p2
| ( ~ y2
& [.] y2 )
| ( ~ z2
& <.> <.> <.> [.] z2 )
| <.> ( ~ p2
| ( ~ y2
& [.] y2 )
| ( ~ z2
& <.> <.> <.> [.] z2 ) ) )
& [.] [.] [.] [.] ( p4
| ( ~ y4
& [.] y4 )
| ( ~ z4
& <.> <.> <.> [.] z4 )
| <.> ( ~ p2
| ( ~ y2
& [.] y2 )
| ( ~ z2
& <.> <.> <.> [.] z2 ) ) )
& [.] [.] [.] [.] ( p6
| ( ~ y6
& [.] y6 )
| ( ~ z6
& <.> <.> <.> [.] z6 )
| <.> ( ~ p2
| ( ~ y2
& [.] y2 )
| ( ~ z2
& <.> <.> <.> [.] z2 ) ) )
& [.] [.] [.] [.] [.] ( p3
| ( ~ y3
& [.] y3 )
| ( ~ z3
& <.> <.> <.> [.] z3 )
| <.> ( ~ p1
| ( ~ y1
& [.] y1 )
| ( ~ z1
& <.> <.> <.> [.] z1 ) ) )
& [.] [.] [.] [.] [.] ( p3
| ( ~ y3
& [.] y3 )
| ( ~ z3
& <.> <.> <.> [.] z3 )
| <.> ( ~ p5
| ( ~ y5
& [.] y5 )
| ( ~ z5
& <.> <.> <.> [.] z5 ) ) )
& [.] [.] [.] [.] [.] ( p4
| ( ~ y4
& [.] y4 )
| ( ~ z4
& <.> <.> <.> [.] z4 )
| <.> ( ~ p3
| ( ~ y3
& [.] y3 )
| ( ~ z3
& <.> <.> <.> [.] z3 ) ) )
& [.] [.] [.] [.] ( p2
| ( ~ y2
& [.] y2 )
| ( ~ z2
& <.> <.> <.> [.] z2 )
| <.> ( ~ p4
| ( ~ y4
& [.] y4 )
| ( ~ z4
& <.> <.> <.> [.] z4 ) ) )
& [.] [.] [.] [.] ( p4
| ( ~ y4
& [.] y4 )
| ( ~ z4
& <.> <.> <.> [.] z4 )
| <.> ( ~ p4
| ( ~ y4
& [.] y4 )
| ( ~ z4
& <.> <.> <.> [.] z4 ) ) )
& [.] [.] [.] [.] ( p6
| ( ~ y6
& [.] y6 )
| ( ~ z6
& <.> <.> <.> [.] z6 )
| <.> ( ~ p4
| ( ~ y4
& [.] y4 )
| ( ~ z4
& <.> <.> <.> [.] z4 ) ) )
& [.] [.] [.] [.] [.] ( p5
| ( ~ y5
& [.] y5 )
| ( ~ z5
& <.> <.> <.> [.] z5 )
| <.> ( ~ p1
| ( ~ y1
& [.] y1 )
| ( ~ z1
& <.> <.> <.> [.] z1 ) ) )
& [.] [.] [.] [.] [.] ( p5
| ( ~ y5
& [.] y5 )
| ( ~ z5
& <.> <.> <.> [.] z5 )
| <.> ( ~ p5
| ( ~ y5
& [.] y5 )
| ( ~ z5
& <.> <.> <.> [.] z5 ) ) )
& [.] [.] [.] [.] ( p2
| ( ~ y2
& [.] y2 )
| ( ~ z2
& <.> <.> <.> [.] z2 )
| <.> ( ~ p6
| ( ~ y6
& [.] y6 )
| ( ~ z6
& <.> <.> <.> [.] z6 ) ) )
& [.] [.] [.] [.] ( p4
| ( ~ y4
& [.] y4 )
| ( ~ z4
& <.> <.> <.> [.] z4 )
| <.> ( ~ p6
| ( ~ y6
& [.] y6 )
| ( ~ z6
& <.> <.> <.> [.] z6 ) ) )
& [.] [.] [.] [.] ( p6
| ( ~ y6
& [.] y6 )
| ( ~ z6
& <.> <.> <.> [.] z6 )
| <.> ( ~ p6
| ( ~ y6
& [.] y6 )
| ( ~ z6
& <.> <.> <.> [.] z6 ) ) )
& [.] [.] [.] [.] [.] [.] ( p1
| ( ~ y1
& [.] y1 )
| ( ~ z1
& <.> <.> <.> [.] z1 )
| <.> ( ~ p1
| ( ~ y1
& [.] y1 )
| ( ~ z1
& <.> <.> <.> [.] z1 ) ) )
& [.] [.] [.] [.] [.] [.] ( p1
| ( ~ y1
& [.] y1 )
| ( ~ z1
& <.> <.> <.> [.] z1 )
| <.> ( ~ p3
| ( ~ y3
& [.] y3 )
| ( ~ z3
& <.> <.> <.> [.] z3 ) ) )
& [.] [.] [.] [.] [.] [.] ( p1
| ( ~ y1
& [.] y1 )
| ( ~ z1
& <.> <.> <.> [.] z1 )
| <.> ( ~ p5
| ( ~ y5
& [.] y5 )
| ( ~ z5
& <.> <.> <.> [.] z5 ) ) )
& [.] [.] [.] [.] [.] ( p2
| ( ~ y2
& [.] y2 )
| ( ~ z2
& <.> <.> <.> [.] z2 )
| <.> ( ~ p2
| ( ~ y2
& [.] y2 )
| ( ~ z2
& <.> <.> <.> [.] z2 ) ) )
& [.] [.] [.] [.] [.] ( p6
| ( ~ y6
& [.] y6 )
| ( ~ z6
& <.> <.> <.> [.] z6 )
| <.> ( ~ p2
| ( ~ y2
& [.] y2 )
| ( ~ z2
& <.> <.> <.> [.] z2 ) ) )
& [.] [.] [.] [.] [.] [.] ( p3
| ( ~ y3
& [.] y3 )
| ( ~ z3
& <.> <.> <.> [.] z3 )
| <.> ( ~ p1
| ( ~ y1
& [.] y1 )
| ( ~ z1
& <.> <.> <.> [.] z1 ) ) )
& [.] [.] [.] [.] [.] [.] ( p3
| ( ~ y3
& [.] y3 )
| ( ~ z3
& <.> <.> <.> [.] z3 )
| <.> ( ~ p3
| ( ~ y3
& [.] y3 )
| ( ~ z3
& <.> <.> <.> [.] z3 ) ) )
& [.] [.] [.] [.] [.] [.] ( p3
| ( ~ y3
& [.] y3 )
| ( ~ z3
& <.> <.> <.> [.] z3 )
| <.> ( ~ p2
| ( ~ y2
& [.] y2 )
| ( ~ z2
& <.> <.> <.> [.] z2 ) ) )
& [.] [.] [.] [.] [.] [.] ( p3
| ( ~ y3
& [.] y3 )
| ( ~ z3
& <.> <.> <.> [.] z3 )
| <.> ( ~ p5
| ( ~ y5
& [.] y5 )
| ( ~ z5
& <.> <.> <.> [.] z5 ) ) )
& [.] [.] [.] [.] [.] ( p2
| ( ~ y2
& [.] y2 )
| ( ~ z2
& <.> <.> <.> [.] z2 )
| <.> ( ~ p4
| ( ~ y4
& [.] y4 )
| ( ~ z4
& <.> <.> <.> [.] z4 ) ) )
& [.] [.] [.] [.] [.] ( p6
| ( ~ y6
& [.] y6 )
| ( ~ z6
& <.> <.> <.> [.] z6 )
| <.> ( ~ p4
| ( ~ y4
& [.] y4 )
| ( ~ z4
& <.> <.> <.> [.] z4 ) ) )
& [.] [.] [.] [.] [.] [.] ( p5
| ( ~ y5
& [.] y5 )
| ( ~ z5
& <.> <.> <.> [.] z5 )
| <.> ( ~ p1
| ( ~ y1
& [.] y1 )
| ( ~ z1
& <.> <.> <.> [.] z1 ) ) )
& [.] [.] [.] [.] [.] [.] ( p5
| ( ~ y5
& [.] y5 )
| ( ~ z5
& <.> <.> <.> [.] z5 )
| <.> ( ~ p3
| ( ~ y3
& [.] y3 )
| ( ~ z3
& <.> <.> <.> [.] z3 ) ) )
& [.] [.] [.] [.] [.] [.] ( p5
| ( ~ y5
& [.] y5 )
| ( ~ z5
& <.> <.> <.> [.] z5 )
| <.> ( ~ p5
| ( ~ y5
& [.] y5 )
| ( ~ z5
& <.> <.> <.> [.] z5 ) ) )
& [.] [.] [.] [.] [.] ( p2
| ( ~ y2
& [.] y2 )
| ( ~ z2
& <.> <.> <.> [.] z2 )
| <.> ( ~ p6
| ( ~ y6
& [.] y6 )
| ( ~ z6
& <.> <.> <.> [.] z6 ) ) )
& [.] [.] [.] [.] [.] ( p6
| ( ~ y6
& [.] y6 )
| ( ~ z6
& <.> <.> <.> [.] z6 )
| <.> ( ~ p6
| ( ~ y6
& [.] y6 )
| ( ~ z6
& <.> <.> <.> [.] z6 ) ) )
& [.] [.] [.] [.] [.] [.] [.] ( p1
| ( ~ y1
& [.] y1 )
| ( ~ z1
& <.> <.> <.> [.] z1 )
| <.> ( ~ p1
| ( ~ y1
& [.] y1 )
| ( ~ z1
& <.> <.> <.> [.] z1 ) ) )
& [.] [.] [.] [.] [.] [.] [.] ( p1
| ( ~ y1
& [.] y1 )
| ( ~ z1
& <.> <.> <.> [.] z1 )
| <.> ( ~ p3
| ( ~ y3
& [.] y3 )
| ( ~ z3
& <.> <.> <.> [.] z3 ) ) )
& [.] [.] [.] [.] [.] [.] [.] ( p2
| ( ~ y2
& [.] y2 )
| ( ~ z2
& <.> <.> <.> [.] z2 )
| <.> ( ~ p5
| ( ~ y5
& [.] y5 )
| ( ~ z5
& <.> <.> <.> [.] z5 ) ) )
& [.] [.] [.] [.] [.] [.] ( p2
| ( ~ y2
& [.] y2 )
| ( ~ z2
& <.> <.> <.> [.] z2 )
| <.> ( ~ p2
| ( ~ y2
& [.] y2 )
| ( ~ z2
& <.> <.> <.> [.] z2 ) ) )
& [.] [.] [.] [.] [.] [.] ( p4
| ( ~ y4
& [.] y4 )
| ( ~ z4
& <.> <.> <.> [.] z4 )
| <.> ( ~ p2
| ( ~ y2
& [.] y2 )
| ( ~ z2
& <.> <.> <.> [.] z2 ) ) )
& [.] [.] [.] [.] [.] [.] ( p6
| ( ~ y6
& [.] y6 )
| ( ~ z6
& <.> <.> <.> [.] z6 )
| <.> ( ~ p2
| ( ~ y2
& [.] y2 )
| ( ~ z2
& <.> <.> <.> [.] z2 ) ) )
& [.] [.] [.] [.] [.] [.] [.] ( p3
| ( ~ y3
& [.] y3 )
| ( ~ z3
& <.> <.> <.> [.] z3 )
| <.> ( ~ p1
| ( ~ y1
& [.] y1 )
| ( ~ z1
& <.> <.> <.> [.] z1 ) ) )
& [.] [.] [.] [.] [.] [.] [.] ( p3
| ( ~ y3
& [.] y3 )
| ( ~ z3
& <.> <.> <.> [.] z3 )
| <.> ( ~ p3
| ( ~ y3
& [.] y3 )
| ( ~ z3
& <.> <.> <.> [.] z3 ) ) )
& [.] [.] [.] [.] [.] [.] ( p2
| ( ~ y2
& [.] y2 )
| ( ~ z2
& <.> <.> <.> [.] z2 )
| <.> ( ~ p4
| ( ~ y4
& [.] y4 )
| ( ~ z4
& <.> <.> <.> [.] z4 ) ) )
& [.] [.] [.] [.] [.] [.] ( p4
| ( ~ y4
& [.] y4 )
| ( ~ z4
& <.> <.> <.> [.] z4 )
| <.> ( ~ p4
| ( ~ y4
& [.] y4 )
| ( ~ z4
& <.> <.> <.> [.] z4 ) ) )
& [.] [.] [.] [.] [.] [.] ( p6
| ( ~ y6
& [.] y6 )
| ( ~ z6
& <.> <.> <.> [.] z6 )
| <.> ( ~ p4
| ( ~ y4
& [.] y4 )
| ( ~ z4
& <.> <.> <.> [.] z4 ) ) )
& [.] [.] [.] [.] [.] [.] [.] ( p5
| ( ~ y5
& [.] y5 )
| ( ~ z5
& <.> <.> <.> [.] z5 )
| <.> ( ~ p1
| ( ~ y1
& [.] y1 )
| ( ~ z1
& <.> <.> <.> [.] z1 ) ) )
& [.] [.] [.] [.] [.] [.] [.] ( p5
| ( ~ y5
& [.] y5 )
| ( ~ z5
& <.> <.> <.> [.] z5 )
| <.> ( ~ p3
| ( ~ y3
& [.] y3 )
| ( ~ z3
& <.> <.> <.> [.] z3 ) ) )
& [.] [.] [.] [.] [.] [.] ( p2
| ( ~ y2
& [.] y2 )
| ( ~ z2
& <.> <.> <.> [.] z2 )
| <.> ( ~ p6
| ( ~ y6
& [.] y6 )
| ( ~ z6
& <.> <.> <.> [.] z6 ) ) )
& [.] [.] [.] [.] [.] [.] ( p4
| ( ~ y4
& [.] y4 )
| ( ~ z4
& <.> <.> <.> [.] z4 )
| <.> ( ~ p6
| ( ~ y6
& [.] y6 )
| ( ~ z6
& <.> <.> <.> [.] z6 ) ) )
& [.] [.] [.] [.] [.] [.] ( p6
| ( ~ y6
& [.] y6 )
| ( ~ z6
& <.> <.> <.> [.] z6 )
| <.> ( ~ p6
| ( ~ y6
& [.] y6 )
| ( ~ z6
& <.> <.> <.> [.] z6 ) ) )
& [.] [.] [.] [.] [.] [.] [.] [.] ( p1
| ( ~ y1
& [.] y1 )
| ( ~ z1
& <.> <.> <.> [.] z1 )
| <.> ( ~ p1
| ( ~ y1
& [.] y1 )
| ( ~ z1
& <.> <.> <.> [.] z1 ) ) )
& [.] [.] [.] [.] [.] [.] [.] [.] ( p1
| ( ~ y1
& [.] y1 )
| ( ~ z1
& <.> <.> <.> [.] z1 )
| <.> ( ~ p3
| ( ~ y3
& [.] y3 )
| ( ~ z3
& <.> <.> <.> [.] z3 ) ) )
& [.] [.] [.] [.] [.] [.] [.] [.] ( p1
| ( ~ y1
& [.] y1 )
| ( ~ z1
& <.> <.> <.> [.] z1 )
| <.> ( ~ p5
| ( ~ y5
& [.] y5 )
| ( ~ z5
& <.> <.> <.> [.] z5 ) ) )
& [.] [.] [.] [.] [.] [.] [.] ( p4
| ( ~ y4
& [.] y4 )
| ( ~ z4
& <.> <.> <.> [.] z4 )
| <.> ( ~ p2
| ( ~ y2
& [.] y2 )
| ( ~ z2
& <.> <.> <.> [.] z2 ) ) )
& [.] [.] [.] [.] [.] [.] [.] ( p6
| ( ~ y6
& [.] y6 )
| ( ~ z6
& <.> <.> <.> [.] z6 )
| <.> ( ~ p2
| ( ~ y2
& [.] y2 )
| ( ~ z2
& <.> <.> <.> [.] z2 ) ) )
& [.] [.] [.] [.] [.] [.] [.] [.] ( p3
| ( ~ y3
& [.] y3 )
| ( ~ z3
& <.> <.> <.> [.] z3 )
| <.> ( ~ p1
| ( ~ y1
& [.] y1 )
| ( ~ z1
& <.> <.> <.> [.] z1 ) ) )
& [.] [.] [.] [.] [.] [.] [.] [.] ( p3
| ( ~ y3
& [.] y3 )
| ( ~ z3
& <.> <.> <.> [.] z3 )
| <.> ( ~ p3
| ( ~ y3
& [.] y3 )
| ( ~ z3
& <.> <.> <.> [.] z3 ) ) )
& [.] [.] [.] [.] [.] [.] [.] [.] ( p3
| ( ~ y3
& [.] y3 )
| ( ~ z3
& <.> <.> <.> [.] z3 )
| <.> ( ~ p5
| ( ~ y5
& [.] y5 )
| ( ~ z5
& <.> <.> <.> [.] z5 ) ) )
& [.] [.] [.] [.] [.] [.] [.] ( p4
| ( ~ y4
& [.] y4 )
| ( ~ z4
& <.> <.> <.> [.] z4 )
| <.> ( ~ p4
| ( ~ y4
& [.] y4 )
| ( ~ z4
& <.> <.> <.> [.] z4 ) ) )
& [.] [.] [.] [.] [.] [.] [.] ( p6
| ( ~ y6
& [.] y6 )
| ( ~ z6
& <.> <.> <.> [.] z6 )
| <.> ( ~ p4
| ( ~ y4
& [.] y4 )
| ( ~ z4
& <.> <.> <.> [.] z4 ) ) )
& [.] [.] [.] [.] [.] [.] [.] [.] ( p5
| ( ~ y5
& [.] y5 )
| ( ~ z5
& <.> <.> <.> [.] z5 )
| <.> ( ~ p1
| ( ~ y1
& [.] y1 )
| ( ~ z1
& <.> <.> <.> [.] z1 ) ) )
& [.] [.] [.] [.] [.] [.] [.] [.] ( p5
| ( ~ y5
& [.] y5 )
| ( ~ z5
& <.> <.> <.> [.] z5 )
| <.> ( ~ p3
| ( ~ y3
& [.] y3 )
| ( ~ z3
& <.> <.> <.> [.] z3 ) ) )
& [.] [.] [.] [.] [.] [.] [.] [.] ( p5
| ( ~ y5
& [.] y5 )
| ( ~ z5
& <.> <.> <.> [.] z5 )
| <.> ( ~ p2
| ( ~ y2
& [.] y2 )
| ( ~ z2
& <.> <.> <.> [.] z2 ) ) )
& [.] [.] [.] [.] [.] [.] [.] [.] ( p5
| ( ~ y5
& [.] y5 )
| ( ~ z5
& <.> <.> <.> [.] z5 )
| <.> ( ~ p5
| ( ~ y5
& [.] y5 )
| ( ~ z5
& <.> <.> <.> [.] z5 ) ) )
& [.] [.] [.] [.] [.] [.] [.] ( p4
| ( ~ y4
& [.] y4 )
| ( ~ z4
& <.> <.> <.> [.] z4 )
| <.> ( ~ p6
| ( ~ y6
& [.] y6 )
| ( ~ z6
& <.> <.> <.> [.] z6 ) ) )
& [.] [.] [.] [.] [.] [.] [.] ( p6
| ( ~ y6
& [.] y6 )
| ( ~ z6
& <.> <.> <.> [.] z6 )
| <.> ( ~ p6
| ( ~ y6
& [.] y6 )
| ( ~ z6
& <.> <.> <.> [.] z6 ) ) )
& [.] [.] [.] [.] [.] [.] [.] [.] [.] ( p1
| ( ~ y1
& [.] y1 )
| ( ~ z1
& <.> <.> <.> [.] z1 )
| <.> ( ~ p1
| ( ~ y1
& [.] y1 )
| ( ~ z1
& <.> <.> <.> [.] z1 ) ) )
& [.] [.] [.] [.] [.] [.] [.] [.] [.] ( p1
| ( ~ y1
& [.] y1 )
| ( ~ z1
& <.> <.> <.> [.] z1 )
| <.> ( ~ p3
| ( ~ y3
& [.] y3 )
| ( ~ z3
& <.> <.> <.> [.] z3 ) ) )
& [.] [.] [.] [.] [.] [.] [.] [.] [.] ( p2
| ( ~ y2
& [.] y2 )
| ( ~ z2
& <.> <.> <.> [.] z2 )
| <.> ( ~ p5
| ( ~ y5
& [.] y5 )
| ( ~ z5
& <.> <.> <.> [.] z5 ) ) )
& [.] [.] [.] [.] [.] [.] [.] [.] ( p2
| ( ~ y2
& [.] y2 )
| ( ~ z2
& <.> <.> <.> [.] z2 )
| <.> ( ~ p2
| ( ~ y2
& [.] y2 )
| ( ~ z2
& <.> <.> <.> [.] z2 ) ) )
& [.] [.] [.] [.] [.] [.] [.] [.] ( p4
| ( ~ y4
& [.] y4 )
| ( ~ z4
& <.> <.> <.> [.] z4 )
| <.> ( ~ p2
| ( ~ y2
& [.] y2 )
| ( ~ z2
& <.> <.> <.> [.] z2 ) ) )
& [.] [.] [.] [.] [.] [.] [.] [.] ( p6
| ( ~ y6
& [.] y6 )
| ( ~ z6
& <.> <.> <.> [.] z6 )
| <.> ( ~ p2
| ( ~ y2
& [.] y2 )
| ( ~ z2
& <.> <.> <.> [.] z2 ) ) )
& [.] [.] [.] [.] [.] [.] [.] [.] [.] ( p3
| ( ~ y3
& [.] y3 )
| ( ~ z3
& <.> <.> <.> [.] z3 )
| <.> ( ~ p1
| ( ~ y1
& [.] y1 )
| ( ~ z1
& <.> <.> <.> [.] z1 ) ) )
& [.] [.] [.] [.] [.] [.] [.] [.] [.] ( p3
| ( ~ y3
& [.] y3 )
| ( ~ z3
& <.> <.> <.> [.] z3 )
| <.> ( ~ p3
| ( ~ y3
& [.] y3 )
| ( ~ z3
& <.> <.> <.> [.] z3 ) ) )
& [.] [.] [.] [.] [.] [.] [.] [.] ( p2
| ( ~ y2
& [.] y2 )
| ( ~ z2
& <.> <.> <.> [.] z2 )
| <.> ( ~ p4
| ( ~ y4
& [.] y4 )
| ( ~ z4
& <.> <.> <.> [.] z4 ) ) )
& [.] [.] [.] [.] [.] [.] [.] [.] ( p4
| ( ~ y4
& [.] y4 )
| ( ~ z4
& <.> <.> <.> [.] z4 )
| <.> ( ~ p4
| ( ~ y4
& [.] y4 )
| ( ~ z4
& <.> <.> <.> [.] z4 ) ) )
& [.] [.] [.] [.] [.] [.] [.] [.] ( p6
| ( ~ y6
& [.] y6 )
| ( ~ z6
& <.> <.> <.> [.] z6 )
| <.> ( ~ p4
| ( ~ y4
& [.] y4 )
| ( ~ z4
& <.> <.> <.> [.] z4 ) ) )
& [.] [.] [.] [.] [.] [.] [.] [.] [.] ( p5
| ( ~ y5
& [.] y5 )
| ( ~ z5
& <.> <.> <.> [.] z5 )
| <.> ( ~ p1
| ( ~ y1
& [.] y1 )
| ( ~ z1
& <.> <.> <.> [.] z1 ) ) )
& [.] [.] [.] [.] [.] [.] [.] [.] [.] ( p5
| ( ~ y5
& [.] y5 )
| ( ~ z5
& <.> <.> <.> [.] z5 )
| <.> ( ~ p3
| ( ~ y3
& [.] y3 )
| ( ~ z3
& <.> <.> <.> [.] z3 ) ) )
& [.] [.] [.] [.] [.] [.] [.] [.] ( p2
| ( ~ y2
& [.] y2 )
| ( ~ z2
& <.> <.> <.> [.] z2 )
| <.> ( ~ p6
| ( ~ y6
& [.] y6 )
| ( ~ z6
& <.> <.> <.> [.] z6 ) ) )
& [.] [.] [.] [.] [.] [.] [.] [.] ( p4
| ( ~ y4
& [.] y4 )
| ( ~ z4
& <.> <.> <.> [.] z4 )
| <.> ( ~ p6
| ( ~ y6
& [.] y6 )
| ( ~ z6
& <.> <.> <.> [.] z6 ) ) )
& [.] [.] [.] [.] [.] [.] [.] [.] ( p6
| ( ~ y6
& [.] y6 )
| ( ~ z6
& <.> <.> <.> [.] z6 )
| <.> ( ~ p6
| ( ~ y6
& [.] y6 )
| ( ~ z6
& <.> <.> <.> [.] z6 ) ) )
& [.] [.] [.] [.] [.] [.] [.] [.] [.] [.] ( p1
| ( ~ y1
& [.] y1 )
| ( ~ z1
& <.> <.> <.> [.] z1 )
| <.> ( ~ p1
| ( ~ y1
& [.] y1 )
| ( ~ z1
& <.> <.> <.> [.] z1 ) ) )
& [.] [.] [.] [.] [.] [.] [.] [.] [.] [.] ( p1
| ( ~ y1
& [.] y1 )
| ( ~ z1
& <.> <.> <.> [.] z1 )
| <.> ( ~ p3
| ( ~ y3
& [.] y3 )
| ( ~ z3
& <.> <.> <.> [.] z3 ) ) )
& [.] [.] [.] [.] [.] [.] [.] [.] [.] [.] ( p1
| ( ~ y1
& [.] y1 )
| ( ~ z1
& <.> <.> <.> [.] z1 )
| <.> ( ~ p5
| ( ~ y5
& [.] y5 )
| ( ~ z5
& <.> <.> <.> [.] z5 ) ) )
& [.] [.] [.] [.] [.] [.] [.] [.] [.] ( p4
| ( ~ y4
& [.] y4 )
| ( ~ z4
& <.> <.> <.> [.] z4 )
| <.> ( ~ p2
| ( ~ y2
& [.] y2 )
| ( ~ z2
& <.> <.> <.> [.] z2 ) ) )
& [.] [.] [.] [.] [.] [.] [.] [.] [.] ( p6
| ( ~ y6
& [.] y6 )
| ( ~ z6
& <.> <.> <.> [.] z6 )
| <.> ( ~ p2
| ( ~ y2
& [.] y2 )
| ( ~ z2
& <.> <.> <.> [.] z2 ) ) )
& [.] [.] [.] [.] [.] [.] [.] [.] [.] [.] ( p3
| ( ~ y3
& [.] y3 )
| ( ~ z3
& <.> <.> <.> [.] z3 )
| <.> ( ~ p1
| ( ~ y1
& [.] y1 )
| ( ~ z1
& <.> <.> <.> [.] z1 ) ) )
& [.] [.] [.] [.] [.] [.] [.] [.] [.] [.] ( p3
| ( ~ y3
& [.] y3 )
| ( ~ z3
& <.> <.> <.> [.] z3 )
| <.> ( ~ p3
| ( ~ y3
& [.] y3 )
| ( ~ z3
& <.> <.> <.> [.] z3 ) ) )
& [.] [.] [.] [.] [.] [.] [.] [.] [.] [.] ( p3
| ( ~ y3
& [.] y3 )
| ( ~ z3
& <.> <.> <.> [.] z3 )
| <.> ( ~ p5
| ( ~ y5
& [.] y5 )
| ( ~ z5
& <.> <.> <.> [.] z5 ) ) )
& [.] [.] [.] [.] [.] [.] [.] [.] [.] ( p4
| ( ~ y4
& [.] y4 )
| ( ~ z4
& <.> <.> <.> [.] z4 )
| <.> ( ~ p4
| ( ~ y4
& [.] y4 )
| ( ~ z4
& <.> <.> <.> [.] z4 ) ) )
& [.] [.] [.] [.] [.] [.] [.] [.] [.] ( p6
| ( ~ y6
& [.] y6 )
| ( ~ z6
& <.> <.> <.> [.] z6 )
| <.> ( ~ p4
| ( ~ y4
& [.] y4 )
| ( ~ z4
& <.> <.> <.> [.] z4 ) ) )
& [.] [.] [.] [.] [.] [.] [.] [.] [.] [.] ( p5
| ( ~ y5
& [.] y5 )
| ( ~ z5
& <.> <.> <.> [.] z5 )
| <.> ( ~ p1
| ( ~ y1
& [.] y1 )
| ( ~ z1
& <.> <.> <.> [.] z1 ) ) )
& [.] [.] [.] [.] [.] [.] [.] [.] [.] [.] ( p5
| ( ~ y5
& [.] y5 )
| ( ~ z5
& <.> <.> <.> [.] z5 )
| <.> ( ~ p3
| ( ~ y3
& [.] y3 )
| ( ~ z3
& <.> <.> <.> [.] z3 ) ) )
& [.] [.] [.] [.] [.] [.] [.] [.] [.] [.] ( p5
| ( ~ y5
& [.] y5 )
| ( ~ z5
& <.> <.> <.> [.] z5 )
| <.> ( ~ p2
| ( ~ y2
& [.] y2 )
| ( ~ z2
& <.> <.> <.> [.] z2 ) ) )
& [.] [.] [.] [.] [.] [.] [.] [.] [.] [.] ( p5
| ( ~ y5
& [.] y5 )
| ( ~ z5
& <.> <.> <.> [.] z5 )
| <.> ( ~ p5
| ( ~ y5
& [.] y5 )
| ( ~ z5
& <.> <.> <.> [.] z5 ) ) )
& [.] [.] [.] [.] [.] [.] [.] [.] [.] ( p4
| ( ~ y4
& [.] y4 )
| ( ~ z4
& <.> <.> <.> [.] z4 )
| <.> ( ~ p6
| ( ~ y6
& [.] y6 )
| ( ~ z6
& <.> <.> <.> [.] z6 ) ) )
& [.] [.] [.] [.] [.] [.] [.] [.] [.] ( p6
| ( ~ y6
& [.] y6 )
| ( ~ z6
& <.> <.> <.> [.] z6 )
| <.> ( ~ p6
| ( ~ y6
& [.] y6 )
| ( ~ z6
& <.> <.> <.> [.] z6 ) ) )
& [.] [.] [.] [.] [.] [.] [.] [.] [.] [.] [.] ( p1
| ( ~ y1
& [.] y1 )
| ( ~ z1
& <.> <.> <.> [.] z1 )
| <.> ( ~ p1
| ( ~ y1
& [.] y1 )
| ( ~ z1
& <.> <.> <.> [.] z1 ) ) )
& [.] [.] [.] [.] [.] [.] [.] [.] [.] [.] [.] ( p1
| ( ~ y1
& [.] y1 )
| ( ~ z1
& <.> <.> <.> [.] z1 )
| <.> ( ~ p3
| ( ~ y3
& [.] y3 )
| ( ~ z3
& <.> <.> <.> [.] z3 ) ) )
& [.] [.] [.] [.] [.] [.] [.] [.] [.] [.] [.] ( p2
| ( ~ y2
& [.] y2 )
| ( ~ z2
& <.> <.> <.> [.] z2 )
| <.> ( ~ p5
| ( ~ y5
& [.] y5 )
| ( ~ z5
& <.> <.> <.> [.] z5 ) ) )
& [.] [.] [.] [.] [.] [.] [.] [.] [.] [.] ( p2
| ( ~ y2
& [.] y2 )
| ( ~ z2
& <.> <.> <.> [.] z2 )
| <.> ( ~ p2
| ( ~ y2
& [.] y2 )
| ( ~ z2
& <.> <.> <.> [.] z2 ) ) )
& [.] [.] [.] [.] [.] [.] [.] [.] [.] [.] ( p4
| ( ~ y4
& [.] y4 )
| ( ~ z4
& <.> <.> <.> [.] z4 )
| <.> ( ~ p2
| ( ~ y2
& [.] y2 )
| ( ~ z2
& <.> <.> <.> [.] z2 ) ) )
& [.] [.] [.] [.] [.] [.] [.] [.] [.] [.] ( p6
| ( ~ y6
& [.] y6 )
| ( ~ z6
& <.> <.> <.> [.] z6 )
| <.> ( ~ p2
| ( ~ y2
& [.] y2 )
| ( ~ z2
& <.> <.> <.> [.] z2 ) ) )
& [.] [.] [.] [.] [.] [.] [.] [.] [.] [.] [.] ( p3
| ( ~ y3
& [.] y3 )
| ( ~ z3
& <.> <.> <.> [.] z3 )
| <.> ( ~ p1
| ( ~ y1
& [.] y1 )
| ( ~ z1
& <.> <.> <.> [.] z1 ) ) )
& [.] [.] [.] [.] [.] [.] [.] [.] [.] [.] [.] ( p3
| ( ~ y3
& [.] y3 )
| ( ~ z3
& <.> <.> <.> [.] z3 )
| <.> ( ~ p3
| ( ~ y3
& [.] y3 )
| ( ~ z3
& <.> <.> <.> [.] z3 ) ) )
& [.] [.] [.] [.] [.] [.] [.] [.] [.] [.] ( p2
| ( ~ y2
& [.] y2 )
| ( ~ z2
& <.> <.> <.> [.] z2 )
| <.> ( ~ p4
| ( ~ y4
& [.] y4 )
| ( ~ z4
& <.> <.> <.> [.] z4 ) ) )
& [.] [.] [.] [.] [.] [.] [.] [.] [.] [.] ( p4
| ( ~ y4
& [.] y4 )
| ( ~ z4
& <.> <.> <.> [.] z4 )
| <.> ( ~ p4
| ( ~ y4
& [.] y4 )
| ( ~ z4
& <.> <.> <.> [.] z4 ) ) )
& [.] [.] [.] [.] [.] [.] [.] [.] [.] [.] ( p6
| ( ~ y6
& [.] y6 )
| ( ~ z6
& <.> <.> <.> [.] z6 )
| <.> ( ~ p4
| ( ~ y4
& [.] y4 )
| ( ~ z4
& <.> <.> <.> [.] z4 ) ) )
& [.] [.] [.] [.] [.] [.] [.] [.] [.] [.] [.] ( p5
| ( ~ y5
& [.] y5 )
| ( ~ z5
& <.> <.> <.> [.] z5 )
| <.> ( ~ p1
| ( ~ y1
& [.] y1 )
| ( ~ z1
& <.> <.> <.> [.] z1 ) ) )
& [.] [.] [.] [.] [.] [.] [.] [.] [.] [.] [.] ( p5
| ( ~ y5
& [.] y5 )
| ( ~ z5
& <.> <.> <.> [.] z5 )
| <.> ( ~ p3
| ( ~ y3
& [.] y3 )
| ( ~ z3
& <.> <.> <.> [.] z3 ) ) )
& [.] [.] [.] [.] [.] [.] [.] [.] [.] [.] ( p2
| ( ~ y2
& [.] y2 )
| ( ~ z2
& <.> <.> <.> [.] z2 )
| <.> ( ~ p6
| ( ~ y6
& [.] y6 )
| ( ~ z6
& <.> <.> <.> [.] z6 ) ) )
& [.] [.] [.] [.] [.] [.] [.] [.] [.] [.] ( p4
| ( ~ y4
& [.] y4 )
| ( ~ z4
& <.> <.> <.> [.] z4 )
| <.> ( ~ p6
| ( ~ y6
& [.] y6 )
| ( ~ z6
& <.> <.> <.> [.] z6 ) ) )
& [.] [.] [.] [.] [.] [.] [.] [.] [.] [.] ( p6
| ( ~ y6
& [.] y6 )
| ( ~ z6
& <.> <.> <.> [.] z6 )
| <.> ( ~ p6
| ( ~ y6
& [.] y6 )
| ( ~ z6
& <.> <.> <.> [.] z6 ) ) )
& [.] [.] [.] [.] [.] [.] [.] [.] [.] [.] [.] [.] ( p1
| ( ~ y1
& [.] y1 )
| ( ~ z1
& <.> <.> <.> [.] z1 )
| <.> ( ~ p1
| ( ~ y1
& [.] y1 )
| ( ~ z1
& <.> <.> <.> [.] z1 ) ) )
& [.] [.] [.] [.] [.] [.] [.] [.] [.] [.] [.] [.] ( p1
| ( ~ y1
& [.] y1 )
| ( ~ z1
& <.> <.> <.> [.] z1 )
| <.> ( ~ p3
| ( ~ y3
& [.] y3 )
| ( ~ z3
& <.> <.> <.> [.] z3 ) ) )
& [.] [.] [.] [.] [.] [.] [.] [.] [.] [.] [.] [.] ( p1
| ( ~ y1
& [.] y1 )
| ( ~ z1
& <.> <.> <.> [.] z1 )
| <.> ( ~ p5
| ( ~ y5
& [.] y5 )
| ( ~ z5
& <.> <.> <.> [.] z5 ) ) )
& [.] [.] [.] [.] [.] [.] [.] [.] [.] [.] [.] ( p4
| ( ~ y4
& [.] y4 )
| ( ~ z4
& <.> <.> <.> [.] z4 )
| <.> ( ~ p2
| ( ~ y2
& [.] y2 )
| ( ~ z2
& <.> <.> <.> [.] z2 ) ) )
& [.] [.] [.] [.] [.] [.] [.] [.] [.] [.] [.] ( p6
| ( ~ y6
& [.] y6 )
| ( ~ z6
& <.> <.> <.> [.] z6 )
| <.> ( ~ p2
| ( ~ y2
& [.] y2 )
| ( ~ z2
& <.> <.> <.> [.] z2 ) ) )
& [.] [.] [.] [.] [.] [.] [.] [.] [.] [.] [.] [.] ( p3
| ( ~ y3
& [.] y3 )
| ( ~ z3
& <.> <.> <.> [.] z3 )
| <.> ( ~ p1
| ( ~ y1
& [.] y1 )
| ( ~ z1
& <.> <.> <.> [.] z1 ) ) )
& [.] [.] [.] [.] [.] [.] [.] [.] [.] [.] [.] [.] ( p3
| ( ~ y3
& [.] y3 )
| ( ~ z3
& <.> <.> <.> [.] z3 )
| <.> ( ~ p3
| ( ~ y3
& [.] y3 )
| ( ~ z3
& <.> <.> <.> [.] z3 ) ) )
& [.] [.] [.] [.] [.] [.] [.] [.] [.] [.] [.] [.] ( p3
| ( ~ y3
& [.] y3 )
| ( ~ z3
& <.> <.> <.> [.] z3 )
| <.> ( ~ p5
| ( ~ y5
& [.] y5 )
| ( ~ z5
& <.> <.> <.> [.] z5 ) ) )
& [.] [.] [.] [.] [.] [.] [.] [.] [.] [.] [.] ( p4
| ( ~ y4
& [.] y4 )
| ( ~ z4
& <.> <.> <.> [.] z4 )
| <.> ( ~ p4
| ( ~ y4
& [.] y4 )
| ( ~ z4
& <.> <.> <.> [.] z4 ) ) )
& [.] [.] [.] [.] [.] [.] [.] [.] [.] [.] [.] ( p6
| ( ~ y6
& [.] y6 )
| ( ~ z6
& <.> <.> <.> [.] z6 )
| <.> ( ~ p4
| ( ~ y4
& [.] y4 )
| ( ~ z4
& <.> <.> <.> [.] z4 ) ) )
& [.] [.] [.] [.] [.] [.] [.] [.] [.] [.] [.] [.] ( p5
| ( ~ y5
& [.] y5 )
| ( ~ z5
& <.> <.> <.> [.] z5 )
| <.> ( ~ p1
| ( ~ y1
& [.] y1 )
| ( ~ z1
& <.> <.> <.> [.] z1 ) ) )
& [.] [.] [.] [.] [.] [.] [.] [.] [.] [.] [.] [.] ( p5
| ( ~ y5
& [.] y5 )
| ( ~ z5
& <.> <.> <.> [.] z5 )
| <.> ( ~ p3
| ( ~ y3
& [.] y3 )
| ( ~ z3
& <.> <.> <.> [.] z3 ) ) )
& [.] [.] [.] [.] [.] [.] [.] [.] [.] [.] [.] [.] ( p5
| ( ~ y5
& [.] y5 )
| ( ~ z5
& <.> <.> <.> [.] z5 )
| <.> ( ~ p2
| ( ~ y2
& [.] y2 )
| ( ~ z2
& <.> <.> <.> [.] z2 ) ) )
& [.] [.] [.] [.] [.] [.] [.] [.] [.] [.] [.] [.] ( p5
| ( ~ y5
& [.] y5 )
| ( ~ z5
& <.> <.> <.> [.] z5 )
| <.> ( ~ p5
| ( ~ y5
& [.] y5 )
| ( ~ z5
& <.> <.> <.> [.] z5 ) ) )
& [.] [.] [.] [.] [.] [.] [.] [.] [.] [.] [.] ( p4
| ( ~ y4
& [.] y4 )
| ( ~ z4
& <.> <.> <.> [.] z4 )
| <.> ( ~ p6
| ( ~ y6
& [.] y6 )
| ( ~ z6
& <.> <.> <.> [.] z6 ) ) )
& [.] [.] [.] [.] [.] [.] [.] [.] [.] [.] [.] ( p6
| ( ~ y6
& [.] y6 )
| ( ~ z6
& <.> <.> <.> [.] z6 )
| <.> ( ~ p6
| ( ~ y6
& [.] y6 )
| ( ~ z6
& <.> <.> <.> [.] z6 ) ) )
& [.] [.] [.] [.] [.] [.] [.] [.] [.] [.] [.] [.] [.] ( p1
| ( ~ y1
& [.] y1 )
| ( ~ z1
& <.> <.> <.> [.] z1 )
| <.> ( ~ p1
| ( ~ y1
& [.] y1 )
| ( ~ z1
& <.> <.> <.> [.] z1 ) ) )
& [.] [.] [.] [.] [.] [.] [.] [.] [.] [.] [.] [.] [.] ( p1
| ( ~ y1
& [.] y1 )
| ( ~ z1
& <.> <.> <.> [.] z1 )
| <.> ( ~ p3
| ( ~ y3
& [.] y3 )
| ( ~ z3
& <.> <.> <.> [.] z3 ) ) )
& [.] [.] [.] [.] [.] [.] [.] [.] [.] [.] [.] [.] [.] ( p2
| ( ~ y2
& [.] y2 )
| ( ~ z2
& <.> <.> <.> [.] z2 )
| <.> ( ~ p5
| ( ~ y5
& [.] y5 )
| ( ~ z5
& <.> <.> <.> [.] z5 ) ) )
& [.] [.] [.] [.] [.] [.] [.] [.] [.] [.] [.] [.] ( p2
| ( ~ y2
& [.] y2 )
| ( ~ z2
& <.> <.> <.> [.] z2 )
| <.> ( ~ p2
| ( ~ y2
& [.] y2 )
| ( ~ z2
& <.> <.> <.> [.] z2 ) ) )
& [.] [.] [.] [.] [.] [.] [.] [.] [.] [.] [.] [.] ( p4
| ( ~ y4
& [.] y4 )
| ( ~ z4
& <.> <.> <.> [.] z4 )
| <.> ( ~ p2
| ( ~ y2
& [.] y2 )
| ( ~ z2
& <.> <.> <.> [.] z2 ) ) )
& [.] [.] [.] [.] [.] [.] [.] [.] [.] [.] [.] [.] ( p6
| ( ~ y6
& [.] y6 )
| ( ~ z6
& <.> <.> <.> [.] z6 )
| <.> ( ~ p2
| ( ~ y2
& [.] y2 )
| ( ~ z2
& <.> <.> <.> [.] z2 ) ) )
& [.] [.] [.] [.] [.] [.] [.] [.] [.] [.] [.] [.] [.] ( p3
| ( ~ y3
& [.] y3 )
| ( ~ z3
& <.> <.> <.> [.] z3 )
| <.> ( ~ p1
| ( ~ y1
& [.] y1 )
| ( ~ z1
& <.> <.> <.> [.] z1 ) ) )
& [.] [.] [.] [.] [.] [.] [.] [.] [.] [.] [.] [.] [.] ( p3
| ( ~ y3
& [.] y3 )
| ( ~ z3
& <.> <.> <.> [.] z3 )
| <.> ( ~ p3
| ( ~ y3
& [.] y3 )
| ( ~ z3
& <.> <.> <.> [.] z3 ) ) )
& [.] [.] [.] [.] [.] [.] [.] [.] [.] [.] [.] [.] ( p2
| ( ~ y2
& [.] y2 )
| ( ~ z2
& <.> <.> <.> [.] z2 )
| <.> ( ~ p4
| ( ~ y4
& [.] y4 )
| ( ~ z4
& <.> <.> <.> [.] z4 ) ) )
& [.] [.] [.] [.] [.] [.] [.] [.] [.] [.] [.] [.] ( p4
| ( ~ y4
& [.] y4 )
| ( ~ z4
& <.> <.> <.> [.] z4 )
| <.> ( ~ p4
| ( ~ y4
& [.] y4 )
| ( ~ z4
& <.> <.> <.> [.] z4 ) ) )
& [.] [.] [.] [.] [.] [.] [.] [.] [.] [.] [.] [.] ( p6
| ( ~ y6
& [.] y6 )
| ( ~ z6
& <.> <.> <.> [.] z6 )
| <.> ( ~ p4
| ( ~ y4
& [.] y4 )
| ( ~ z4
& <.> <.> <.> [.] z4 ) ) )
& [.] [.] [.] [.] [.] [.] [.] [.] [.] [.] [.] [.] [.] ( p5
| ( ~ y5
& [.] y5 )
| ( ~ z5
& <.> <.> <.> [.] z5 )
| <.> ( ~ p1
| ( ~ y1
& [.] y1 )
| ( ~ z1
& <.> <.> <.> [.] z1 ) ) )
& [.] [.] [.] [.] [.] [.] [.] [.] [.] [.] [.] [.] [.] ( p5
| ( ~ y5
& [.] y5 )
| ( ~ z5
& <.> <.> <.> [.] z5 )
| <.> ( ~ p3
| ( ~ y3
& [.] y3 )
| ( ~ z3
& <.> <.> <.> [.] z3 ) ) )
& [.] [.] [.] [.] [.] [.] [.] [.] [.] [.] [.] [.] ( p2
| ( ~ y2
& [.] y2 )
| ( ~ z2
& <.> <.> <.> [.] z2 )
| <.> ( ~ p6
| ( ~ y6
& [.] y6 )
| ( ~ z6
& <.> <.> <.> [.] z6 ) ) )
& [.] [.] [.] [.] [.] [.] [.] [.] [.] [.] [.] [.] ( p4
| ( ~ y4
& [.] y4 )
| ( ~ z4
& <.> <.> <.> [.] z4 )
| <.> ( ~ p6
| ( ~ y6
& [.] y6 )
| ( ~ z6
& <.> <.> <.> [.] z6 ) ) )
& [.] [.] [.] [.] [.] [.] [.] [.] [.] [.] [.] [.] ( p6
| ( ~ y6
& [.] y6 )
| ( ~ z6
& <.> <.> <.> [.] z6 )
| <.> ( ~ p6
| ( ~ y6
& [.] y6 )
| ( ~ z6
& <.> <.> <.> [.] z6 ) ) )
& [.] [.] [.] [.] [.] [.] [.] [.] [.] [.] [.] [.] [.] ( p4
| ( ~ y4
& [.] y4 )
| ( ~ z4
& <.> <.> <.> [.] z4 )
| <.> ( ~ p2
| ( ~ y2
& [.] y2 )
| ( ~ z2
& <.> <.> <.> [.] z2 ) ) )
& [.] [.] [.] [.] [.] [.] [.] [.] [.] [.] [.] [.] [.] ( p6
| ( ~ y6
& [.] y6 )
| ( ~ z6
& <.> <.> <.> [.] z6 )
| <.> ( ~ p2
| ( ~ y2
& [.] y2 )
| ( ~ z2
& <.> <.> <.> [.] z2 ) ) )
& [.] [.] [.] [.] [.] [.] [.] [.] [.] [.] [.] [.] [.] ( p4
| ( ~ y4
& [.] y4 )
| ( ~ z4
& <.> <.> <.> [.] z4 )
| <.> ( ~ p4
| ( ~ y4
& [.] y4 )
| ( ~ z4
& <.> <.> <.> [.] z4 ) ) )
& [.] [.] [.] [.] [.] [.] [.] [.] [.] [.] [.] [.] [.] ( p6
| ( ~ y6
& [.] y6 )
| ( ~ z6
& <.> <.> <.> [.] z6 )
| <.> ( ~ p4
| ( ~ y4
& [.] y4 )
| ( ~ z4
& <.> <.> <.> [.] z4 ) ) )
& [.] [.] [.] [.] [.] [.] [.] [.] [.] [.] [.] [.] [.] ( p4
| ( ~ y4
& [.] y4 )
| ( ~ z4
& <.> <.> <.> [.] z4 )
| <.> ( ~ p6
| ( ~ y6
& [.] y6 )
| ( ~ z6
& <.> <.> <.> [.] z6 ) ) )
& [.] [.] [.] [.] [.] [.] [.] [.] [.] [.] [.] [.] [.] ( p6
| ( ~ y6
& [.] y6 )
| ( ~ z6
& <.> <.> <.> [.] z6 )
| <.> ( ~ p6
| ( ~ y6
& [.] y6 )
| ( ~ z6
& <.> <.> <.> [.] z6 ) ) )
& [.] [.] [.] [.] [.] [.] [.] [.] [.] [.] [.] [.] [.] [.] ( p2
| ( ~ y2
& [.] y2 )
| ( ~ z2
& <.> <.> <.> [.] z2 ) )
& [.] [.] [.] [.] [.] [.] [.] [.] [.] [.] [.] [.] [.] [.] ( p4
| ( ~ y4
& [.] y4 )
| ( ~ z4
& <.> <.> <.> [.] z4 ) )
& [.] [.] [.] [.] [.] [.] [.] [.] [.] [.] [.] [.] [.] [.] ( p5
| ( ~ y5
& [.] y5 )
| ( ~ z5
& <.> <.> <.> [.] z5 ) )
& [.] [.] [.] [.] [.] [.] [.] [.] [.] [.] [.] [.] [.] [.] ( p6
| ( ~ y6
& [.] y6 )
| ( ~ z6
& <.> <.> <.> [.] z6 ) ) ) ) ).
%------------------------------------------------------------------------------