%------------------------------------------------------------------------------
% File     : Paradox---4.0
% Problem  : HWV052-1.005.004 : TPTP v8.1.0. Released v4.1.0.
% Transfm  : none
% Format   : tptp:short
% Command  : paradox --no-progress --time %d --tstp --model %s

% Computer : n027.cluster.edu
% Model    : x86_64 x86_64
% CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory   : 8042.1875MB
% OS       : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit  : 600s
% DateTime : Sat Jul 16 18:40:53 EDT 2022

% Result   : Satisfiable 0.77s 0.96s
% Output   : FiniteModel 0.77s
% Verified : 
% SZS Type : FiniteModel
%            Domain size           :    2

% Comments : 
%------------------------------------------------------------------------------
% domain size is 2
fof(domain,fi_domain,
    ! [X] :
      ( X = "1"
      | X = "2" ) ).

fof(i,fi_functors,
    i = "1" ).

fof(inv,fi_functors,
    ( inv("1") = "2"
    & inv("2") = "1" ) ).

fof(o,fi_functors,
    o = "2" ).

fof(pack1,fi_functors,
    ( pack1("1","1","1","1","1") = "1"
    & pack1("1","1","1","1","2") = "2"
    & pack1("1","1","1","2","1") = "2"
    & pack1("1","1","1","2","2") = "1"
    & pack1("1","1","2","1","1") = "1"
    & pack1("1","1","2","1","2") = "1"
    & pack1("1","1","2","2","1") = "1"
    & pack1("1","1","2","2","2") = "2"
    & pack1("1","2","1","1","1") = "2"
    & pack1("1","2","1","1","2") = "1"
    & pack1("1","2","1","2","1") = "1"
    & pack1("1","2","1","2","2") = "2"
    & pack1("1","2","2","1","1") = "2"
    & pack1("1","2","2","1","2") = "2"
    & pack1("1","2","2","2","1") = "1"
    & pack1("1","2","2","2","2") = "1"
    & pack1("2","1","1","1","1") = "1"
    & pack1("2","1","1","1","2") = "2"
    & pack1("2","1","1","2","1") = "2"
    & pack1("2","1","1","2","2") = "1"
    & pack1("2","1","2","1","1") = "2"
    & pack1("2","1","2","1","2") = "1"
    & pack1("2","1","2","2","1") = "2"
    & pack1("2","1","2","2","2") = "1"
    & pack1("2","2","1","1","1") = "1"
    & pack1("2","2","1","1","2") = "1"
    & pack1("2","2","1","2","1") = "1"
    & pack1("2","2","1","2","2") = "2"
    & pack1("2","2","2","1","1") = "1"
    & pack1("2","2","2","1","2") = "2"
    & pack1("2","2","2","2","1") = "2"
    & pack1("2","2","2","2","2") = "2" ) ).

fof(pack2,fi_functors,
    ( pack2("1","1","1","1","1") = "2"
    & pack2("1","1","1","1","2") = "1"
    & pack2("1","1","1","2","1") = "1"
    & pack2("1","1","1","2","2") = "2"
    & pack2("1","1","2","1","1") = "1"
    & pack2("1","1","2","1","2") = "1"
    & pack2("1","1","2","2","1") = "2"
    & pack2("1","1","2","2","2") = "2"
    & pack2("1","2","1","1","1") = "2"
    & pack2("1","2","1","1","2") = "1"
    & pack2("1","2","1","2","1") = "1"
    & pack2("1","2","1","2","2") = "2"
    & pack2("1","2","2","1","1") = "1"
    & pack2("1","2","2","1","2") = "2"
    & pack2("1","2","2","2","1") = "2"
    & pack2("1","2","2","2","2") = "1"
    & pack2("2","1","1","1","1") = "1"
    & pack2("2","1","1","1","2") = "2"
    & pack2("2","1","1","2","1") = "2"
    & pack2("2","1","1","2","2") = "1"
    & pack2("2","1","2","1","1") = "2"
    & pack2("2","1","2","1","2") = "2"
    & pack2("2","1","2","2","1") = "1"
    & pack2("2","1","2","2","2") = "1"
    & pack2("2","2","1","1","1") = "2"
    & pack2("2","2","1","1","2") = "2"
    & pack2("2","2","1","2","1") = "1"
    & pack2("2","2","1","2","2") = "1"
    & pack2("2","2","2","1","1") = "1"
    & pack2("2","2","2","1","2") = "1"
    & pack2("2","2","2","2","1") = "2"
    & pack2("2","2","2","2","2") = "2" ) ).

fof(pack3,fi_functors,
    ( pack3("1","1","1","1","1") = "1"
    & pack3("1","1","1","1","2") = "1"
    & pack3("1","1","1","2","1") = "2"
    & pack3("1","1","1","2","2") = "1"
    & pack3("1","1","2","1","1") = "1"
    & pack3("1","1","2","1","2") = "2"
    & pack3("1","1","2","2","1") = "2"
    & pack3("1","1","2","2","2") = "2"
    & pack3("1","2","1","1","1") = "1"
    & pack3("1","2","1","1","2") = "2"
    & pack3("1","2","1","2","1") = "2"
    & pack3("1","2","1","2","2") = "2"
    & pack3("1","2","2","1","1") = "2"
    & pack3("1","2","2","1","2") = "1"
    & pack3("1","2","2","2","1") = "1"
    & pack3("1","2","2","2","2") = "1"
    & pack3("2","1","1","1","1") = "2"
    & pack3("2","1","1","1","2") = "2"
    & pack3("2","1","1","2","1") = "1"
    & pack3("2","1","1","2","2") = "1"
    & pack3("2","1","2","1","1") = "2"
    & pack3("2","1","2","1","2") = "1"
    & pack3("2","1","2","2","1") = "1"
    & pack3("2","1","2","2","2") = "2"
    & pack3("2","2","1","1","1") = "2"
    & pack3("2","2","1","1","2") = "1"
    & pack3("2","2","1","2","1") = "1"
    & pack3("2","2","1","2","2") = "2"
    & pack3("2","2","2","1","1") = "1"
    & pack3("2","2","2","1","2") = "2"
    & pack3("2","2","2","2","1") = "2"
    & pack3("2","2","2","2","2") = "1" ) ).

fof(pack4,fi_functors,
    ( pack4("1","1","1","1","1") = "1"
    & pack4("1","1","1","1","2") = "1"
    & pack4("1","1","1","2","1") = "2"
    & pack4("1","1","1","2","2") = "2"
    & pack4("1","1","2","1","1") = "2"
    & pack4("1","1","2","1","2") = "1"
    & pack4("1","1","2","2","1") = "1"
    & pack4("1","1","2","2","2") = "2"
    & pack4("1","2","1","1","1") = "2"
    & pack4("1","2","1","1","2") = "2"
    & pack4("1","2","1","2","1") = "1"
    & pack4("1","2","1","2","2") = "1"
    & pack4("1","2","2","1","1") = "2"
    & pack4("1","2","2","1","2") = "1"
    & pack4("1","2","2","2","1") = "2"
    & pack4("1","2","2","2","2") = "1"
    & pack4("2","1","1","1","1") = "2"
    & pack4("2","1","1","1","2") = "1"
    & pack4("2","1","1","2","1") = "2"
    & pack4("2","1","1","2","2") = "1"
    & pack4("2","1","2","1","1") = "2"
    & pack4("2","1","2","1","2") = "1"
    & pack4("2","1","2","2","1") = "1"
    & pack4("2","1","2","2","2") = "2"
    & pack4("2","2","1","1","1") = "1"
    & pack4("2","2","1","1","2") = "2"
    & pack4("2","2","1","2","1") = "2"
    & pack4("2","2","1","2","2") = "2"
    & pack4("2","2","2","1","1") = "1"
    & pack4("2","2","2","1","2") = "1"
    & pack4("2","2","2","2","1") = "1"
    & pack4("2","2","2","2","2") = "2" ) ).

fof(unpack1,fi_functors,
    ( unpack1("1","1","1","1","1","1","1","1","1") = "1"
    & unpack1("1","1","1","1","1","1","1","1","2") = "1"
    & unpack1("1","1","1","1","1","1","1","2","1") = "2"
    & unpack1("1","1","1","1","1","1","1","2","2") = "2"
    & unpack1("1","1","1","1","1","1","2","1","1") = "1"
    & unpack1("1","1","1","1","1","1","2","1","2") = "1"
    & unpack1("1","1","1","1","1","1","2","2","1") = "1"
    & unpack1("1","1","1","1","1","1","2","2","2") = "1"
    & unpack1("1","1","1","1","1","2","1","1","1") = "1"
    & unpack1("1","1","1","1","1","2","1","1","2") = "1"
    & unpack1("1","1","1","1","1","2","1","2","1") = "1"
    & unpack1("1","1","1","1","1","2","1","2","2") = "1"
    & unpack1("1","1","1","1","1","2","2","1","1") = "1"
    & unpack1("1","1","1","1","1","2","2","1","2") = "1"
    & unpack1("1","1","1","1","1","2","2","2","1") = "1"
    & unpack1("1","1","1","1","1","2","2","2","2") = "1"
    & unpack1("1","1","1","1","2","1","1","1","1") = "1"
    & unpack1("1","1","1","1","2","1","1","1","2") = "1"
    & unpack1("1","1","1","1","2","1","1","2","1") = "1"
    & unpack1("1","1","1","1","2","1","1","2","2") = "1"
    & unpack1("1","1","1","1","2","1","2","1","1") = "1"
    & unpack1("1","1","1","1","2","1","2","1","2") = "1"
    & unpack1("1","1","1","1","2","1","2","2","1") = "2"
    & unpack1("1","1","1","1","2","1","2","2","2") = "1"
    & unpack1("1","1","1","1","2","2","1","1","1") = "1"
    & unpack1("1","1","1","1","2","2","1","1","2") = "1"
    & unpack1("1","1","1","1","2","2","1","2","1") = "1"
    & unpack1("1","1","1","1","2","2","1","2","2") = "1"
    & unpack1("1","1","1","1","2","2","2","1","1") = "1"
    & unpack1("1","1","1","1","2","2","2","1","2") = "1"
    & unpack1("1","1","1","1","2","2","2","2","1") = "2"
    & unpack1("1","1","1","1","2","2","2","2","2") = "1"
    & unpack1("1","1","1","2","1","1","1","1","1") = "1"
    & unpack1("1","1","1","2","1","1","1","1","2") = "1"
    & unpack1("1","1","1","2","1","1","1","2","1") = "1"
    & unpack1("1","1","1","2","1","1","1","2","2") = "1"
    & unpack1("1","1","1","2","1","1","2","1","1") = "1"
    & unpack1("1","1","1","2","1","1","2","1","2") = "1"
    & unpack1("1","1","1","2","1","1","2","2","1") = "1"
    & unpack1("1","1","1","2","1","1","2","2","2") = "1"
    & unpack1("1","1","1","2","1","2","1","1","1") = "1"
    & unpack1("1","1","1","2","1","2","1","1","2") = "1"
    & unpack1("1","1","1","2","1","2","1","2","1") = "1"
    & unpack1("1","1","1","2","1","2","1","2","2") = "1"
    & unpack1("1","1","1","2","1","2","2","1","1") = "1"
    & unpack1("1","1","1","2","1","2","2","1","2") = "2"
    & unpack1("1","1","1","2","1","2","2","2","1") = "1"
    & unpack1("1","1","1","2","1","2","2","2","2") = "1"
    & unpack1("1","1","1","2","2","1","1","1","1") = "2"
    & unpack1("1","1","1","2","2","1","1","1","2") = "1"
    & unpack1("1","1","1","2","2","1","1","2","1") = "1"
    & unpack1("1","1","1","2","2","1","1","2","2") = "1"
    & unpack1("1","1","1","2","2","1","2","1","1") = "1"
    & unpack1("1","1","1","2","2","1","2","1","2") = "1"
    & unpack1("1","1","1","2","2","1","2","2","1") = "1"
    & unpack1("1","1","1","2","2","1","2","2","2") = "1"
    & unpack1("1","1","1","2","2","2","1","1","1") = "1"
    & unpack1("1","1","1","2","2","2","1","1","2") = "1"
    & unpack1("1","1","1","2","2","2","1","2","1") = "2"
    & unpack1("1","1","1","2","2","2","1","2","2") = "1"
    & unpack1("1","1","1","2","2","2","2","1","1") = "1"
    & unpack1("1","1","1","2","2","2","2","1","2") = "1"
    & unpack1("1","1","1","2","2","2","2","2","1") = "1"
    & unpack1("1","1","1","2","2","2","2","2","2") = "1"
    & unpack1("1","1","2","1","1","1","1","1","1") = "1"
    & unpack1("1","1","2","1","1","1","1","1","2") = "1"
    & unpack1("1","1","2","1","1","1","1","2","1") = "1"
    & unpack1("1","1","2","1","1","1","1","2","2") = "1"
    & unpack1("1","1","2","1","1","1","2","1","1") = "1"
    & unpack1("1","1","2","1","1","1","2","1","2") = "1"
    & unpack1("1","1","2","1","1","1","2","2","1") = "1"
    & unpack1("1","1","2","1","1","1","2","2","2") = "1"
    & unpack1("1","1","2","1","1","2","1","1","1") = "1"
    & unpack1("1","1","2","1","1","2","1","1","2") = "1"
    & unpack1("1","1","2","1","1","2","1","2","1") = "1"
    & unpack1("1","1","2","1","1","2","1","2","2") = "1"
    & unpack1("1","1","2","1","1","2","2","1","1") = "2"
    & unpack1("1","1","2","1","1","2","2","1","2") = "1"
    & unpack1("1","1","2","1","1","2","2","2","1") = "1"
    & unpack1("1","1","2","1","1","2","2","2","2") = "2"
    & unpack1("1","1","2","1","2","1","1","1","1") = "1"
    & unpack1("1","1","2","1","2","1","1","1","2") = "1"
    & unpack1("1","1","2","1","2","1","1","2","1") = "1"
    & unpack1("1","1","2","1","2","1","1","2","2") = "1"
    & unpack1("1","1","2","1","2","1","2","1","1") = "2"
    & unpack1("1","1","2","1","2","1","2","1","2") = "2"
    & unpack1("1","1","2","1","2","1","2","2","1") = "1"
    & unpack1("1","1","2","1","2","1","2","2","2") = "1"
    & unpack1("1","1","2","1","2","2","1","1","1") = "1"
    & unpack1("1","1","2","1","2","2","1","1","2") = "1"
    & unpack1("1","1","2","1","2","2","1","2","1") = "1"
    & unpack1("1","1","2","1","2","2","1","2","2") = "1"
    & unpack1("1","1","2","1","2","2","2","1","1") = "1"
    & unpack1("1","1","2","1","2","2","2","1","2") = "1"
    & unpack1("1","1","2","1","2","2","2","2","1") = "1"
    & unpack1("1","1","2","1","2","2","2","2","2") = "1"
    & unpack1("1","1","2","2","1","1","1","1","1") = "1"
    & unpack1("1","1","2","2","1","1","1","1","2") = "1"
    & unpack1("1","1","2","2","1","1","1","2","1") = "1"
    & unpack1("1","1","2","2","1","1","1","2","2") = "1"
    & unpack1("1","1","2","2","1","1","2","1","1") = "1"
    & unpack1("1","1","2","2","1","1","2","1","2") = "1"
    & unpack1("1","1","2","2","1","1","2","2","1") = "1"
    & unpack1("1","1","2","2","1","1","2","2","2") = "1"
    & unpack1("1","1","2","2","1","2","1","1","1") = "2"
    & unpack1("1","1","2","2","1","2","1","1","2") = "1"
    & unpack1("1","1","2","2","1","2","1","2","1") = "2"
    & unpack1("1","1","2","2","1","2","1","2","2") = "1"
    & unpack1("1","1","2","2","1","2","2","1","1") = "1"
    & unpack1("1","1","2","2","1","2","2","1","2") = "1"
    & unpack1("1","1","2","2","1","2","2","2","1") = "1"
    & unpack1("1","1","2","2","1","2","2","2","2") = "1"
    & unpack1("1","1","2","2","2","1","1","1","1") = "1"
    & unpack1("1","1","2","2","2","1","1","1","2") = "1"
    & unpack1("1","1","2","2","2","1","1","2","1") = "1"
    & unpack1("1","1","2","2","2","1","1","2","2") = "2"
    & unpack1("1","1","2","2","2","1","2","1","1") = "1"
    & unpack1("1","1","2","2","2","1","2","1","2") = "1"
    & unpack1("1","1","2","2","2","1","2","2","1") = "1"
    & unpack1("1","1","2","2","2","1","2","2","2") = "1"
    & unpack1("1","1","2","2","2","2","1","1","1") = "1"
    & unpack1("1","1","2","2","2","2","1","1","2") = "1"
    & unpack1("1","1","2","2","2","2","1","2","1") = "1"
    & unpack1("1","1","2","2","2","2","1","2","2") = "1"
    & unpack1("1","1","2","2","2","2","2","1","1") = "1"
    & unpack1("1","1","2","2","2","2","2","1","2") = "1"
    & unpack1("1","1","2","2","2","2","2","2","1") = "1"
    & unpack1("1","1","2","2","2","2","2","2","2") = "1"
    & unpack1("1","2","1","1","1","1","1","1","1") = "2"
    & unpack1("1","2","1","1","1","1","1","1","2") = "1"
    & unpack1("1","2","1","1","1","1","1","2","1") = "1"
    & unpack1("1","2","1","1","1","1","1","2","2") = "1"
    & unpack1("1","2","1","1","1","1","2","1","1") = "1"
    & unpack1("1","2","1","1","1","1","2","1","2") = "1"
    & unpack1("1","2","1","1","1","1","2","2","1") = "2"
    & unpack1("1","2","1","1","1","1","2","2","2") = "1"
    & unpack1("1","2","1","1","1","2","1","1","1") = "1"
    & unpack1("1","2","1","1","1","2","1","1","2") = "1"
    & unpack1("1","2","1","1","1","2","1","2","1") = "2"
    & unpack1("1","2","1","1","1","2","1","2","2") = "1"
    & unpack1("1","2","1","1","1","2","2","1","1") = "1"
    & unpack1("1","2","1","1","1","2","2","1","2") = "1"
    & unpack1("1","2","1","1","1","2","2","2","1") = "1"
    & unpack1("1","2","1","1","1","2","2","2","2") = "1"
    & unpack1("1","2","1","1","2","1","1","1","1") = "1"
    & unpack1("1","2","1","1","2","1","1","1","2") = "1"
    & unpack1("1","2","1","1","2","1","1","2","1") = "1"
    & unpack1("1","2","1","1","2","1","1","2","2") = "1"
    & unpack1("1","2","1","1","2","1","2","1","1") = "1"
    & unpack1("1","2","1","1","2","1","2","1","2") = "2"
    & unpack1("1","2","1","1","2","1","2","2","1") = "1"
    & unpack1("1","2","1","1","2","1","2","2","2") = "1"
    & unpack1("1","2","1","1","2","2","1","1","1") = "1"
    & unpack1("1","2","1","1","2","2","1","1","2") = "1"
    & unpack1("1","2","1","1","2","2","1","2","1") = "1"
    & unpack1("1","2","1","1","2","2","1","2","2") = "1"
    & unpack1("1","2","1","1","2","2","2","1","1") = "1"
    & unpack1("1","2","1","1","2","2","2","1","2") = "1"
    & unpack1("1","2","1","1","2","2","2","2","1") = "1"
    & unpack1("1","2","1","1","2","2","2","2","2") = "1"
    & unpack1("1","2","1","2","1","1","1","1","1") = "1"
    & unpack1("1","2","1","2","1","1","1","1","2") = "2"
    & unpack1("1","2","1","2","1","1","1","2","1") = "1"
    & unpack1("1","2","1","2","1","1","1","2","2") = "1"
    & unpack1("1","2","1","2","1","1","2","1","1") = "2"
    & unpack1("1","2","1","2","1","1","2","1","2") = "1"
    & unpack1("1","2","1","2","1","1","2","2","1") = "1"
    & unpack1("1","2","1","2","1","1","2","2","2") = "1"
    & unpack1("1","2","1","2","1","2","1","1","1") = "1"
    & unpack1("1","2","1","2","1","2","1","1","2") = "1"
    & unpack1("1","2","1","2","1","2","1","2","1") = "1"
    & unpack1("1","2","1","2","1","2","1","2","2") = "1"
    & unpack1("1","2","1","2","1","2","2","1","1") = "1"
    & unpack1("1","2","1","2","1","2","2","1","2") = "1"
    & unpack1("1","2","1","2","1","2","2","2","1") = "1"
    & unpack1("1","2","1","2","1","2","2","2","2") = "1"
    & unpack1("1","2","1","2","2","1","1","1","1") = "1"
    & unpack1("1","2","1","2","2","1","1","1","2") = "1"
    & unpack1("1","2","1","2","2","1","1","2","1") = "1"
    & unpack1("1","2","1","2","2","1","1","2","2") = "1"
    & unpack1("1","2","1","2","2","1","2","1","1") = "2"
    & unpack1("1","2","1","2","2","1","2","1","2") = "1"
    & unpack1("1","2","1","2","2","1","2","2","1") = "1"
    & unpack1("1","2","1","2","2","1","2","2","2") = "1"
    & unpack1("1","2","1","2","2","2","1","1","1") = "1"
    & unpack1("1","2","1","2","2","2","1","1","2") = "2"
    & unpack1("1","2","1","2","2","2","1","2","1") = "1"
    & unpack1("1","2","1","2","2","2","1","2","2") = "2"
    & unpack1("1","2","1","2","2","2","2","1","1") = "1"
    & unpack1("1","2","1","2","2","2","2","1","2") = "2"
    & unpack1("1","2","1","2","2","2","2","2","1") = "1"
    & unpack1("1","2","1","2","2","2","2","2","2") = "1"
    & unpack1("1","2","2","1","1","1","1","1","1") = "2"
    & unpack1("1","2","2","1","1","1","1","1","2") = "1"
    & unpack1("1","2","2","1","1","1","1","2","1") = "2"
    & unpack1("1","2","2","1","1","1","1","2","2") = "1"
    & unpack1("1","2","2","1","1","1","2","1","1") = "2"
    & unpack1("1","2","2","1","1","1","2","1","2") = "1"
    & unpack1("1","2","2","1","1","1","2","2","1") = "1"
    & unpack1("1","2","2","1","1","1","2","2","2") = "1"
    & unpack1("1","2","2","1","1","2","1","1","1") = "1"
    & unpack1("1","2","2","1","1","2","1","1","2") = "1"
    & unpack1("1","2","2","1","1","2","1","2","1") = "1"
    & unpack1("1","2","2","1","1","2","1","2","2") = "1"
    & unpack1("1","2","2","1","1","2","2","1","1") = "1"
    & unpack1("1","2","2","1","1","2","2","1","2") = "1"
    & unpack1("1","2","2","1","1","2","2","2","1") = "1"
    & unpack1("1","2","2","1","1","2","2","2","2") = "1"
    & unpack1("1","2","2","1","2","1","1","1","1") = "1"
    & unpack1("1","2","2","1","2","1","1","1","2") = "1"
    & unpack1("1","2","2","1","2","1","1","2","1") = "1"
    & unpack1("1","2","2","1","2","1","1","2","2") = "1"
    & unpack1("1","2","2","1","2","1","2","1","1") = "1"
    & unpack1("1","2","2","1","2","1","2","1","2") = "1"
    & unpack1("1","2","2","1","2","1","2","2","1") = "1"
    & unpack1("1","2","2","1","2","1","2","2","2") = "1"
    & unpack1("1","2","2","1","2","2","1","1","1") = "1"
    & unpack1("1","2","2","1","2","2","1","1","2") = "1"
    & unpack1("1","2","2","1","2","2","1","2","1") = "2"
    & unpack1("1","2","2","1","2","2","1","2","2") = "1"
    & unpack1("1","2","2","1","2","2","2","1","1") = "1"
    & unpack1("1","2","2","1","2","2","2","1","2") = "1"
    & unpack1("1","2","2","1","2","2","2","2","1") = "1"
    & unpack1("1","2","2","1","2","2","2","2","2") = "1"
    & unpack1("1","2","2","2","1","1","1","1","1") = "1"
    & unpack1("1","2","2","2","1","1","1","1","2") = "1"
    & unpack1("1","2","2","2","1","1","1","2","1") = "1"
    & unpack1("1","2","2","2","1","1","1","2","2") = "1"
    & unpack1("1","2","2","2","1","1","2","1","1") = "1"
    & unpack1("1","2","2","2","1","1","2","1","2") = "1"
    & unpack1("1","2","2","2","1","1","2","2","1") = "1"
    & unpack1("1","2","2","2","1","1","2","2","2") = "1"
    & unpack1("1","2","2","2","1","2","1","1","1") = "1"
    & unpack1("1","2","2","2","1","2","1","1","2") = "1"
    & unpack1("1","2","2","2","1","2","1","2","1") = "1"
    & unpack1("1","2","2","2","1","2","1","2","2") = "1"
    & unpack1("1","2","2","2","1","2","2","1","1") = "2"
    & unpack1("1","2","2","2","1","2","2","1","2") = "1"
    & unpack1("1","2","2","2","1","2","2","2","1") = "2"
    & unpack1("1","2","2","2","1","2","2","2","2") = "1"
    & unpack1("1","2","2","2","2","1","1","1","1") = "1"
    & unpack1("1","2","2","2","2","1","1","1","2") = "1"
    & unpack1("1","2","2","2","2","1","1","2","1") = "1"
    & unpack1("1","2","2","2","2","1","1","2","2") = "2"
    & unpack1("1","2","2","2","2","1","2","1","1") = "1"
    & unpack1("1","2","2","2","2","1","2","1","2") = "1"
    & unpack1("1","2","2","2","2","1","2","2","1") = "2"
    & unpack1("1","2","2","2","2","1","2","2","2") = "1"
    & unpack1("1","2","2","2","2","2","1","1","1") = "1"
    & unpack1("1","2","2","2","2","2","1","1","2") = "1"
    & unpack1("1","2","2","2","2","2","1","2","1") = "1"
    & unpack1("1","2","2","2","2","2","1","2","2") = "2"
    & unpack1("1","2","2","2","2","2","2","1","1") = "1"
    & unpack1("1","2","2","2","2","2","2","1","2") = "2"
    & unpack1("1","2","2","2","2","2","2","2","1") = "1"
    & unpack1("1","2","2","2","2","2","2","2","2") = "1"
    & unpack1("2","1","1","1","1","1","1","1","1") = "2"
    & unpack1("2","1","1","1","1","1","1","1","2") = "2"
    & unpack1("2","1","1","1","1","1","1","2","1") = "2"
    & unpack1("2","1","1","1","1","1","1","2","2") = "2"
    & unpack1("2","1","1","1","1","1","2","1","1") = "1"
    & unpack1("2","1","1","1","1","1","2","1","2") = "2"
    & unpack1("2","1","1","1","1","1","2","2","1") = "2"
    & unpack1("2","1","1","1","1","1","2","2","2") = "2"
    & unpack1("2","1","1","1","1","2","1","1","1") = "2"
    & unpack1("2","1","1","1","1","2","1","1","2") = "2"
    & unpack1("2","1","1","1","1","2","1","2","1") = "2"
    & unpack1("2","1","1","1","1","2","1","2","2") = "2"
    & unpack1("2","1","1","1","1","2","2","1","1") = "2"
    & unpack1("2","1","1","1","1","2","2","1","2") = "2"
    & unpack1("2","1","1","1","1","2","2","2","1") = "2"
    & unpack1("2","1","1","1","1","2","2","2","2") = "2"
    & unpack1("2","1","1","1","2","1","1","1","1") = "2"
    & unpack1("2","1","1","1","2","1","1","1","2") = "1"
    & unpack1("2","1","1","1","2","1","1","2","1") = "2"
    & unpack1("2","1","1","1","2","1","1","2","2") = "2"
    & unpack1("2","1","1","1","2","1","2","1","1") = "2"
    & unpack1("2","1","1","1","2","1","2","1","2") = "2"
    & unpack1("2","1","1","1","2","1","2","2","1") = "2"
    & unpack1("2","1","1","1","2","1","2","2","2") = "2"
    & unpack1("2","1","1","1","2","2","1","1","1") = "1"
    & unpack1("2","1","1","1","2","2","1","1","2") = "1"
    & unpack1("2","1","1","1","2","2","1","2","1") = "2"
    & unpack1("2","1","1","1","2","2","1","2","2") = "1"
    & unpack1("2","1","1","1","2","2","2","1","1") = "2"
    & unpack1("2","1","1","1","2","2","2","1","2") = "2"
    & unpack1("2","1","1","1","2","2","2","2","1") = "2"
    & unpack1("2","1","1","1","2","2","2","2","2") = "2"
    & unpack1("2","1","1","2","1","1","1","1","1") = "2"
    & unpack1("2","1","1","2","1","1","1","1","2") = "2"
    & unpack1("2","1","1","2","1","1","1","2","1") = "2"
    & unpack1("2","1","1","2","1","1","1","2","2") = "2"
    & unpack1("2","1","1","2","1","1","2","1","1") = "2"
    & unpack1("2","1","1","2","1","1","2","1","2") = "2"
    & unpack1("2","1","1","2","1","1","2","2","1") = "2"
    & unpack1("2","1","1","2","1","1","2","2","2") = "2"
    & unpack1("2","1","1","2","1","2","1","1","1") = "2"
    & unpack1("2","1","1","2","1","2","1","1","2") = "2"
    & unpack1("2","1","1","2","1","2","1","2","1") = "2"
    & unpack1("2","1","1","2","1","2","1","2","2") = "1"
    & unpack1("2","1","1","2","1","2","2","1","1") = "2"
    & unpack1("2","1","1","2","1","2","2","1","2") = "2"
    & unpack1("2","1","1","2","1","2","2","2","1") = "1"
    & unpack1("2","1","1","2","1","2","2","2","2") = "2"
    & unpack1("2","1","1","2","2","1","1","1","1") = "2"
    & unpack1("2","1","1","2","2","1","1","1","2") = "2"
    & unpack1("2","1","1","2","2","1","1","2","1") = "2"
    & unpack1("2","1","1","2","2","1","1","2","2") = "2"
    & unpack1("2","1","1","2","2","1","2","1","1") = "2"
    & unpack1("2","1","1","2","2","1","2","1","2") = "1"
    & unpack1("2","1","1","2","2","1","2","2","1") = "2"
    & unpack1("2","1","1","2","2","1","2","2","2") = "1"
    & unpack1("2","1","1","2","2","2","1","1","1") = "2"
    & unpack1("2","1","1","2","2","2","1","1","2") = "2"
    & unpack1("2","1","1","2","2","2","1","2","1") = "2"
    & unpack1("2","1","1","2","2","2","1","2","2") = "2"
    & unpack1("2","1","1","2","2","2","2","1","1") = "2"
    & unpack1("2","1","1","2","2","2","2","1","2") = "2"
    & unpack1("2","1","1","2","2","2","2","2","1") = "2"
    & unpack1("2","1","1","2","2","2","2","2","2") = "2"
    & unpack1("2","1","2","1","1","1","1","1","1") = "2"
    & unpack1("2","1","2","1","1","1","1","1","2") = "1"
    & unpack1("2","1","2","1","1","1","1","2","1") = "2"
    & unpack1("2","1","2","1","1","1","1","2","2") = "2"
    & unpack1("2","1","2","1","1","1","2","1","1") = "2"
    & unpack1("2","1","2","1","1","1","2","1","2") = "2"
    & unpack1("2","1","2","1","1","1","2","2","1") = "2"
    & unpack1("2","1","2","1","1","1","2","2","2") = "2"
    & unpack1("2","1","2","1","1","2","1","1","1") = "2"
    & unpack1("2","1","2","1","1","2","1","1","2") = "1"
    & unpack1("2","1","2","1","1","2","1","2","1") = "2"
    & unpack1("2","1","2","1","1","2","1","2","2") = "2"
    & unpack1("2","1","2","1","1","2","2","1","1") = "2"
    & unpack1("2","1","2","1","1","2","2","1","2") = "2"
    & unpack1("2","1","2","1","1","2","2","2","1") = "2"
    & unpack1("2","1","2","1","1","2","2","2","2") = "2"
    & unpack1("2","1","2","1","2","1","1","1","1") = "2"
    & unpack1("2","1","2","1","2","1","1","1","2") = "2"
    & unpack1("2","1","2","1","2","1","1","2","1") = "1"
    & unpack1("2","1","2","1","2","1","1","2","2") = "2"
    & unpack1("2","1","2","1","2","1","2","1","1") = "2"
    & unpack1("2","1","2","1","2","1","2","1","2") = "2"
    & unpack1("2","1","2","1","2","1","2","2","1") = "2"
    & unpack1("2","1","2","1","2","1","2","2","2") = "2"
    & unpack1("2","1","2","1","2","2","1","1","1") = "2"
    & unpack1("2","1","2","1","2","2","1","1","2") = "2"
    & unpack1("2","1","2","1","2","2","1","2","1") = "2"
    & unpack1("2","1","2","1","2","2","1","2","2") = "2"
    & unpack1("2","1","2","1","2","2","2","1","1") = "2"
    & unpack1("2","1","2","1","2","2","2","1","2") = "2"
    & unpack1("2","1","2","1","2","2","2","2","1") = "2"
    & unpack1("2","1","2","1","2","2","2","2","2") = "2"
    & unpack1("2","1","2","2","1","1","1","1","1") = "2"
    & unpack1("2","1","2","2","1","1","1","1","2") = "2"
    & unpack1("2","1","2","2","1","1","1","2","1") = "2"
    & unpack1("2","1","2","2","1","1","1","2","2") = "2"
    & unpack1("2","1","2","2","1","1","2","1","1") = "2"
    & unpack1("2","1","2","2","1","1","2","1","2") = "2"
    & unpack1("2","1","2","2","1","1","2","2","1") = "1"
    & unpack1("2","1","2","2","1","1","2","2","2") = "2"
    & unpack1("2","1","2","2","1","2","1","1","1") = "2"
    & unpack1("2","1","2","2","1","2","1","1","2") = "2"
    & unpack1("2","1","2","2","1","2","1","2","1") = "2"
    & unpack1("2","1","2","2","1","2","1","2","2") = "2"
    & unpack1("2","1","2","2","1","2","2","1","1") = "2"
    & unpack1("2","1","2","2","1","2","2","1","2") = "2"
    & unpack1("2","1","2","2","1","2","2","2","1") = "2"
    & unpack1("2","1","2","2","1","2","2","2","2") = "2"
    & unpack1("2","1","2","2","2","1","1","1","1") = "2"
    & unpack1("2","1","2","2","2","1","1","1","2") = "2"
    & unpack1("2","1","2","2","2","1","1","2","1") = "2"
    & unpack1("2","1","2","2","2","1","1","2","2") = "2"
    & unpack1("2","1","2","2","2","1","2","1","1") = "2"
    & unpack1("2","1","2","2","2","1","2","1","2") = "2"
    & unpack1("2","1","2","2","2","1","2","2","1") = "2"
    & unpack1("2","1","2","2","2","1","2","2","2") = "2"
    & unpack1("2","1","2","2","2","2","1","1","1") = "2"
    & unpack1("2","1","2","2","2","2","1","1","2") = "1"
    & unpack1("2","1","2","2","2","2","1","2","1") = "2"
    & unpack1("2","1","2","2","2","2","1","2","2") = "2"
    & unpack1("2","1","2","2","2","2","2","1","1") = "2"
    & unpack1("2","1","2","2","2","2","2","1","2") = "2"
    & unpack1("2","1","2","2","2","2","2","2","1") = "2"
    & unpack1("2","1","2","2","2","2","2","2","2") = "1"
    & unpack1("2","2","1","1","1","1","1","1","1") = "2"
    & unpack1("2","2","1","1","1","1","1","1","2") = "2"
    & unpack1("2","2","1","1","1","1","1","2","1") = "2"
    & unpack1("2","2","1","1","1","1","1","2","2") = "2"
    & unpack1("2","2","1","1","1","1","2","1","1") = "2"
    & unpack1("2","2","1","1","1","1","2","1","2") = "2"
    & unpack1("2","2","1","1","1","1","2","2","1") = "2"
    & unpack1("2","2","1","1","1","1","2","2","2") = "2"
    & unpack1("2","2","1","1","1","2","1","1","1") = "2"
    & unpack1("2","2","1","1","1","2","1","1","2") = "2"
    & unpack1("2","2","1","1","1","2","1","2","1") = "2"
    & unpack1("2","2","1","1","1","2","1","2","2") = "2"
    & unpack1("2","2","1","1","1","2","2","1","1") = "2"
    & unpack1("2","2","1","1","1","2","2","1","2") = "1"
    & unpack1("2","2","1","1","1","2","2","2","1") = "2"
    & unpack1("2","2","1","1","1","2","2","2","2") = "2"
    & unpack1("2","2","1","1","2","1","1","1","1") = "2"
    & unpack1("2","2","1","1","2","1","1","1","2") = "2"
    & unpack1("2","2","1","1","2","1","1","2","1") = "2"
    & unpack1("2","2","1","1","2","1","1","2","2") = "1"
    & unpack1("2","2","1","1","2","1","2","1","1") = "2"
    & unpack1("2","2","1","1","2","1","2","1","2") = "2"
    & unpack1("2","2","1","1","2","1","2","2","1") = "2"
    & unpack1("2","2","1","1","2","1","2","2","2") = "2"
    & unpack1("2","2","1","1","2","2","1","1","1") = "2"
    & unpack1("2","2","1","1","2","2","1","1","2") = "2"
    & unpack1("2","2","1","1","2","2","1","2","1") = "2"
    & unpack1("2","2","1","1","2","2","1","2","2") = "2"
    & unpack1("2","2","1","1","2","2","2","1","1") = "2"
    & unpack1("2","2","1","1","2","2","2","1","2") = "2"
    & unpack1("2","2","1","1","2","2","2","2","1") = "2"
    & unpack1("2","2","1","1","2","2","2","2","2") = "2"
    & unpack1("2","2","1","2","1","1","1","1","1") = "2"
    & unpack1("2","2","1","2","1","1","1","1","2") = "2"
    & unpack1("2","2","1","2","1","1","1","2","1") = "1"
    & unpack1("2","2","1","2","1","1","1","2","2") = "2"
    & unpack1("2","2","1","2","1","1","2","1","1") = "2"
    & unpack1("2","2","1","2","1","1","2","1","2") = "2"
    & unpack1("2","2","1","2","1","1","2","2","1") = "2"
    & unpack1("2","2","1","2","1","1","2","2","2") = "1"
    & unpack1("2","2","1","2","1","2","1","1","1") = "1"
    & unpack1("2","2","1","2","1","2","1","1","2") = "2"
    & unpack1("2","2","1","2","1","2","1","2","1") = "2"
    & unpack1("2","2","1","2","1","2","1","2","2") = "2"
    & unpack1("2","2","1","2","1","2","2","1","1") = "2"
    & unpack1("2","2","1","2","1","2","2","1","2") = "2"
    & unpack1("2","2","1","2","1","2","2","2","1") = "2"
    & unpack1("2","2","1","2","1","2","2","2","2") = "2"
    & unpack1("2","2","1","2","2","1","1","1","1") = "2"
    & unpack1("2","2","1","2","2","1","1","1","2") = "2"
    & unpack1("2","2","1","2","2","1","1","2","1") = "2"
    & unpack1("2","2","1","2","2","1","1","2","2") = "2"
    & unpack1("2","2","1","2","2","1","2","1","1") = "2"
    & unpack1("2","2","1","2","2","1","2","1","2") = "2"
    & unpack1("2","2","1","2","2","1","2","2","1") = "2"
    & unpack1("2","2","1","2","2","1","2","2","2") = "2"
    & unpack1("2","2","1","2","2","2","1","1","1") = "2"
    & unpack1("2","2","1","2","2","2","1","1","2") = "2"
    & unpack1("2","2","1","2","2","2","1","2","1") = "2"
    & unpack1("2","2","1","2","2","2","1","2","2") = "2"
    & unpack1("2","2","1","2","2","2","2","1","1") = "2"
    & unpack1("2","2","1","2","2","2","2","1","2") = "2"
    & unpack1("2","2","1","2","2","2","2","2","1") = "1"
    & unpack1("2","2","1","2","2","2","2","2","2") = "2"
    & unpack1("2","2","2","1","1","1","1","1","1") = "2"
    & unpack1("2","2","2","1","1","1","1","1","2") = "2"
    & unpack1("2","2","2","1","1","1","1","2","1") = "2"
    & unpack1("2","2","2","1","1","1","1","2","2") = "2"
    & unpack1("2","2","2","1","1","1","2","1","1") = "2"
    & unpack1("2","2","2","1","1","1","2","1","2") = "2"
    & unpack1("2","2","2","1","1","1","2","2","1") = "2"
    & unpack1("2","2","2","1","1","1","2","2","2") = "2"
    & unpack1("2","2","2","1","1","2","1","1","1") = "2"
    & unpack1("2","2","2","1","1","2","1","1","2") = "2"
    & unpack1("2","2","2","1","1","2","1","2","1") = "2"
    & unpack1("2","2","2","1","1","2","1","2","2") = "1"
    & unpack1("2","2","2","1","1","2","2","1","1") = "2"
    & unpack1("2","2","2","1","1","2","2","1","2") = "2"
    & unpack1("2","2","2","1","1","2","2","2","1") = "2"
    & unpack1("2","2","2","1","1","2","2","2","2") = "2"
    & unpack1("2","2","2","1","2","1","1","1","1") = "2"
    & unpack1("2","2","2","1","2","1","1","1","2") = "2"
    & unpack1("2","2","2","1","2","1","1","2","1") = "2"
    & unpack1("2","2","2","1","2","1","1","2","2") = "1"
    & unpack1("2","2","2","1","2","1","2","1","1") = "2"
    & unpack1("2","2","2","1","2","1","2","1","2") = "2"
    & unpack1("2","2","2","1","2","1","2","2","1") = "2"
    & unpack1("2","2","2","1","2","1","2","2","2") = "1"
    & unpack1("2","2","2","1","2","2","1","1","1") = "2"
    & unpack1("2","2","2","1","2","2","1","1","2") = "1"
    & unpack1("2","2","2","1","2","2","1","2","1") = "2"
    & unpack1("2","2","2","1","2","2","1","2","2") = "2"
    & unpack1("2","2","2","1","2","2","2","1","1") = "1"
    & unpack1("2","2","2","1","2","2","2","1","2") = "2"
    & unpack1("2","2","2","1","2","2","2","2","1") = "2"
    & unpack1("2","2","2","1","2","2","2","2","2") = "2"
    & unpack1("2","2","2","2","1","1","1","1","1") = "2"
    & unpack1("2","2","2","2","1","1","1","1","2") = "2"
    & unpack1("2","2","2","2","1","1","1","2","1") = "2"
    & unpack1("2","2","2","2","1","1","1","2","2") = "2"
    & unpack1("2","2","2","2","1","1","2","1","1") = "2"
    & unpack1("2","2","2","2","1","1","2","1","2") = "1"
    & unpack1("2","2","2","2","1","1","2","2","1") = "2"
    & unpack1("2","2","2","2","1","1","2","2","2") = "2"
    & unpack1("2","2","2","2","1","2","1","1","1") = "2"
    & unpack1("2","2","2","2","1","2","1","1","2") = "2"
    & unpack1("2","2","2","2","1","2","1","2","1") = "2"
    & unpack1("2","2","2","2","1","2","1","2","2") = "2"
    & unpack1("2","2","2","2","1","2","2","1","1") = "2"
    & unpack1("2","2","2","2","1","2","2","1","2") = "2"
    & unpack1("2","2","2","2","1","2","2","2","1") = "2"
    & unpack1("2","2","2","2","1","2","2","2","2") = "2"
    & unpack1("2","2","2","2","2","1","1","1","1") = "1"
    & unpack1("2","2","2","2","2","1","1","1","2") = "2"
    & unpack1("2","2","2","2","2","1","1","2","1") = "2"
    & unpack1("2","2","2","2","2","1","1","2","2") = "2"
    & unpack1("2","2","2","2","2","1","2","1","1") = "2"
    & unpack1("2","2","2","2","2","1","2","1","2") = "2"
    & unpack1("2","2","2","2","2","1","2","2","1") = "1"
    & unpack1("2","2","2","2","2","1","2","2","2") = "2"
    & unpack1("2","2","2","2","2","2","1","1","1") = "2"
    & unpack1("2","2","2","2","2","2","1","1","2") = "2"
    & unpack1("2","2","2","2","2","2","1","2","1") = "2"
    & unpack1("2","2","2","2","2","2","1","2","2") = "2"
    & unpack1("2","2","2","2","2","2","2","1","1") = "2"
    & unpack1("2","2","2","2","2","2","2","1","2") = "2"
    & unpack1("2","2","2","2","2","2","2","2","1") = "2"
    & unpack1("2","2","2","2","2","2","2","2","2") = "2" ) ).

fof(unpack2,fi_functors,
    ( unpack2("1","1","1","1","1","1","1","1","1") = "1"
    & unpack2("1","1","1","1","1","1","1","1","2") = "1"
    & unpack2("1","1","1","1","1","1","1","2","1") = "1"
    & unpack2("1","1","1","1","1","1","1","2","2") = "1"
    & unpack2("1","1","1","1","1","1","2","1","1") = "1"
    & unpack2("1","1","1","1","1","1","2","1","2") = "1"
    & unpack2("1","1","1","1","1","1","2","2","1") = "1"
    & unpack2("1","1","1","1","1","1","2","2","2") = "2"
    & unpack2("1","1","1","1","1","2","1","1","1") = "1"
    & unpack2("1","1","1","1","1","2","1","1","2") = "1"
    & unpack2("1","1","1","1","1","2","1","2","1") = "1"
    & unpack2("1","1","1","1","1","2","1","2","2") = "1"
    & unpack2("1","1","1","1","1","2","2","1","1") = "1"
    & unpack2("1","1","1","1","1","2","2","1","2") = "2"
    & unpack2("1","1","1","1","1","2","2","2","1") = "1"
    & unpack2("1","1","1","1","1","2","2","2","2") = "1"
    & unpack2("1","1","1","1","2","1","1","1","1") = "1"
    & unpack2("1","1","1","1","2","1","1","1","2") = "2"
    & unpack2("1","1","1","1","2","1","1","2","1") = "1"
    & unpack2("1","1","1","1","2","1","1","2","2") = "2"
    & unpack2("1","1","1","1","2","1","2","1","1") = "1"
    & unpack2("1","1","1","1","2","1","2","1","2") = "1"
    & unpack2("1","1","1","1","2","1","2","2","1") = "1"
    & unpack2("1","1","1","1","2","1","2","2","2") = "1"
    & unpack2("1","1","1","1","2","2","1","1","1") = "1"
    & unpack2("1","1","1","1","2","2","1","1","2") = "1"
    & unpack2("1","1","1","1","2","2","1","2","1") = "1"
    & unpack2("1","1","1","1","2","2","1","2","2") = "1"
    & unpack2("1","1","1","1","2","2","2","1","1") = "1"
    & unpack2("1","1","1","1","2","2","2","1","2") = "1"
    & unpack2("1","1","1","1","2","2","2","2","1") = "1"
    & unpack2("1","1","1","1","2","2","2","2","2") = "1"
    & unpack2("1","1","1","2","1","1","1","1","1") = "1"
    & unpack2("1","1","1","2","1","1","1","1","2") = "2"
    & unpack2("1","1","1","2","1","1","1","2","1") = "2"
    & unpack2("1","1","1","2","1","1","1","2","2") = "1"
    & unpack2("1","1","1","2","1","1","2","1","1") = "1"
    & unpack2("1","1","1","2","1","1","2","1","2") = "1"
    & unpack2("1","1","1","2","1","1","2","2","1") = "1"
    & unpack2("1","1","1","2","1","1","2","2","2") = "1"
    & unpack2("1","1","1","2","1","2","1","1","1") = "2"
    & unpack2("1","1","1","2","1","2","1","1","2") = "1"
    & unpack2("1","1","1","2","1","2","1","2","1") = "1"
    & unpack2("1","1","1","2","1","2","1","2","2") = "1"
    & unpack2("1","1","1","2","1","2","2","1","1") = "1"
    & unpack2("1","1","1","2","1","2","2","1","2") = "1"
    & unpack2("1","1","1","2","1","2","2","2","1") = "1"
    & unpack2("1","1","1","2","1","2","2","2","2") = "1"
    & unpack2("1","1","1","2","2","1","1","1","1") = "1"
    & unpack2("1","1","1","2","2","1","1","1","2") = "1"
    & unpack2("1","1","1","2","2","1","1","2","1") = "1"
    & unpack2("1","1","1","2","2","1","1","2","2") = "1"
    & unpack2("1","1","1","2","2","1","2","1","1") = "1"
    & unpack2("1","1","1","2","2","1","2","1","2") = "1"
    & unpack2("1","1","1","2","2","1","2","2","1") = "1"
    & unpack2("1","1","1","2","2","1","2","2","2") = "1"
    & unpack2("1","1","1","2","2","2","1","1","1") = "1"
    & unpack2("1","1","1","2","2","2","1","1","2") = "1"
    & unpack2("1","1","1","2","2","2","1","2","1") = "1"
    & unpack2("1","1","1","2","2","2","1","2","2") = "1"
    & unpack2("1","1","1","2","2","2","2","1","1") = "1"
    & unpack2("1","1","1","2","2","2","2","1","2") = "1"
    & unpack2("1","1","1","2","2","2","2","2","1") = "2"
    & unpack2("1","1","1","2","2","2","2","2","2") = "1"
    & unpack2("1","1","2","1","1","1","1","1","1") = "1"
    & unpack2("1","1","2","1","1","1","1","1","2") = "1"
    & unpack2("1","1","2","1","1","1","1","2","1") = "1"
    & unpack2("1","1","2","1","1","1","1","2","2") = "1"
    & unpack2("1","1","2","1","1","1","2","1","1") = "1"
    & unpack2("1","1","2","1","1","1","2","1","2") = "1"
    & unpack2("1","1","2","1","1","1","2","2","1") = "1"
    & unpack2("1","1","2","1","1","1","2","2","2") = "2"
    & unpack2("1","1","2","1","1","2","1","1","1") = "1"
    & unpack2("1","1","2","1","1","2","1","1","2") = "1"
    & unpack2("1","1","2","1","1","2","1","2","1") = "1"
    & unpack2("1","1","2","1","1","2","1","2","2") = "2"
    & unpack2("1","1","2","1","1","2","2","1","1") = "1"
    & unpack2("1","1","2","1","1","2","2","1","2") = "1"
    & unpack2("1","1","2","1","1","2","2","2","1") = "2"
    & unpack2("1","1","2","1","1","2","2","2","2") = "1"
    & unpack2("1","1","2","1","2","1","1","1","1") = "1"
    & unpack2("1","1","2","1","2","1","1","1","2") = "1"
    & unpack2("1","1","2","1","2","1","1","2","1") = "1"
    & unpack2("1","1","2","1","2","1","1","2","2") = "1"
    & unpack2("1","1","2","1","2","1","2","1","1") = "1"
    & unpack2("1","1","2","1","2","1","2","1","2") = "2"
    & unpack2("1","1","2","1","2","1","2","2","1") = "1"
    & unpack2("1","1","2","1","2","1","2","2","2") = "2"
    & unpack2("1","1","2","1","2","2","1","1","1") = "1"
    & unpack2("1","1","2","1","2","2","1","1","2") = "2"
    & unpack2("1","1","2","1","2","2","1","2","1") = "1"
    & unpack2("1","1","2","1","2","2","1","2","2") = "1"
    & unpack2("1","1","2","1","2","2","2","1","1") = "2"
    & unpack2("1","1","2","1","2","2","2","1","2") = "1"
    & unpack2("1","1","2","1","2","2","2","2","1") = "1"
    & unpack2("1","1","2","1","2","2","2","2","2") = "1"
    & unpack2("1","1","2","2","1","1","1","1","1") = "1"
    & unpack2("1","1","2","2","1","1","1","1","2") = "1"
    & unpack2("1","1","2","2","1","1","1","2","1") = "1"
    & unpack2("1","1","2","2","1","1","1","2","2") = "2"
    & unpack2("1","1","2","2","1","1","2","1","1") = "1"
    & unpack2("1","1","2","2","1","1","2","1","2") = "2"
    & unpack2("1","1","2","2","1","1","2","2","1") = "1"
    & unpack2("1","1","2","2","1","1","2","2","2") = "1"
    & unpack2("1","1","2","2","1","2","1","1","1") = "1"
    & unpack2("1","1","2","2","1","2","1","1","2") = "1"
    & unpack2("1","1","2","2","1","2","1","2","1") = "1"
    & unpack2("1","1","2","2","1","2","1","2","2") = "1"
    & unpack2("1","1","2","2","1","2","2","1","1") = "1"
    & unpack2("1","1","2","2","1","2","2","1","2") = "1"
    & unpack2("1","1","2","2","1","2","2","2","1") = "1"
    & unpack2("1","1","2","2","1","2","2","2","2") = "1"
    & unpack2("1","1","2","2","2","1","1","1","1") = "2"
    & unpack2("1","1","2","2","2","1","1","1","2") = "1"
    & unpack2("1","1","2","2","2","1","1","2","1") = "1"
    & unpack2("1","1","2","2","2","1","1","2","2") = "1"
    & unpack2("1","1","2","2","2","1","2","1","1") = "1"
    & unpack2("1","1","2","2","2","1","2","1","2") = "1"
    & unpack2("1","1","2","2","2","1","2","2","1") = "1"
    & unpack2("1","1","2","2","2","1","2","2","2") = "1"
    & unpack2("1","1","2","2","2","2","1","1","1") = "1"
    & unpack2("1","1","2","2","2","2","1","1","2") = "1"
    & unpack2("1","1","2","2","2","2","1","2","1") = "1"
    & unpack2("1","1","2","2","2","2","1","2","2") = "1"
    & unpack2("1","1","2","2","2","2","2","1","1") = "1"
    & unpack2("1","1","2","2","2","2","2","1","2") = "1"
    & unpack2("1","1","2","2","2","2","2","2","1") = "1"
    & unpack2("1","1","2","2","2","2","2","2","2") = "1"
    & unpack2("1","2","1","1","1","1","1","1","1") = "2"
    & unpack2("1","2","1","1","1","1","1","1","2") = "2"
    & unpack2("1","2","1","1","1","1","1","2","1") = "2"
    & unpack2("1","2","1","1","1","1","1","2","2") = "2"
    & unpack2("1","2","1","1","1","1","2","1","1") = "1"
    & unpack2("1","2","1","1","1","1","2","1","2") = "2"
    & unpack2("1","2","1","1","1","1","2","2","1") = "2"
    & unpack2("1","2","1","1","1","1","2","2","2") = "2"
    & unpack2("1","2","1","1","1","2","1","1","1") = "2"
    & unpack2("1","2","1","1","1","2","1","1","2") = "2"
    & unpack2("1","2","1","1","1","2","1","2","1") = "2"
    & unpack2("1","2","1","1","1","2","1","2","2") = "2"
    & unpack2("1","2","1","1","1","2","2","1","1") = "2"
    & unpack2("1","2","1","1","1","2","2","1","2") = "2"
    & unpack2("1","2","1","1","1","2","2","2","1") = "2"
    & unpack2("1","2","1","1","1","2","2","2","2") = "2"
    & unpack2("1","2","1","1","2","1","1","1","1") = "2"
    & unpack2("1","2","1","1","2","1","1","1","2") = "2"
    & unpack2("1","2","1","1","2","1","1","2","1") = "2"
    & unpack2("1","2","1","1","2","1","1","2","2") = "2"
    & unpack2("1","2","1","1","2","1","2","1","1") = "2"
    & unpack2("1","2","1","1","2","1","2","1","2") = "2"
    & unpack2("1","2","1","1","2","1","2","2","1") = "2"
    & unpack2("1","2","1","1","2","1","2","2","2") = "2"
    & unpack2("1","2","1","1","2","2","1","1","1") = "1"
    & unpack2("1","2","1","1","2","2","1","1","2") = "2"
    & unpack2("1","2","1","1","2","2","1","2","1") = "2"
    & unpack2("1","2","1","1","2","2","1","2","2") = "2"
    & unpack2("1","2","1","1","2","2","2","1","1") = "2"
    & unpack2("1","2","1","1","2","2","2","1","2") = "2"
    & unpack2("1","2","1","1","2","2","2","2","1") = "2"
    & unpack2("1","2","1","1","2","2","2","2","2") = "2"
    & unpack2("1","2","1","2","1","1","1","1","1") = "2"
    & unpack2("1","2","1","2","1","1","1","1","2") = "2"
    & unpack2("1","2","1","2","1","1","1","2","1") = "2"
    & unpack2("1","2","1","2","1","1","1","2","2") = "2"
    & unpack2("1","2","1","2","1","1","2","1","1") = "2"
    & unpack2("1","2","1","2","1","1","2","1","2") = "2"
    & unpack2("1","2","1","2","1","1","2","2","1") = "2"
    & unpack2("1","2","1","2","1","1","2","2","2") = "2"
    & unpack2("1","2","1","2","1","2","1","1","1") = "2"
    & unpack2("1","2","1","2","1","2","1","1","2") = "2"
    & unpack2("1","2","1","2","1","2","1","2","1") = "2"
    & unpack2("1","2","1","2","1","2","1","2","2") = "1"
    & unpack2("1","2","1","2","1","2","2","1","1") = "2"
    & unpack2("1","2","1","2","1","2","2","1","2") = "2"
    & unpack2("1","2","1","2","1","2","2","2","1") = "2"
    & unpack2("1","2","1","2","1","2","2","2","2") = "1"
    & unpack2("1","2","1","2","2","1","1","1","1") = "2"
    & unpack2("1","2","1","2","2","1","1","1","2") = "2"
    & unpack2("1","2","1","2","2","1","1","2","1") = "2"
    & unpack2("1","2","1","2","2","1","1","2","2") = "2"
    & unpack2("1","2","1","2","2","1","2","1","1") = "2"
    & unpack2("1","2","1","2","2","1","2","1","2") = "1"
    & unpack2("1","2","1","2","2","1","2","2","1") = "2"
    & unpack2("1","2","1","2","2","1","2","2","2") = "1"
    & unpack2("1","2","1","2","2","2","1","1","1") = "2"
    & unpack2("1","2","1","2","2","2","1","1","2") = "2"
    & unpack2("1","2","1","2","2","2","1","2","1") = "2"
    & unpack2("1","2","1","2","2","2","1","2","2") = "2"
    & unpack2("1","2","1","2","2","2","2","1","1") = "2"
    & unpack2("1","2","1","2","2","2","2","1","2") = "2"
    & unpack2("1","2","1","2","2","2","2","2","1") = "2"
    & unpack2("1","2","1","2","2","2","2","2","2") = "2"
    & unpack2("1","2","2","1","1","1","1","1","1") = "2"
    & unpack2("1","2","2","1","1","1","1","1","2") = "1"
    & unpack2("1","2","2","1","1","1","1","2","1") = "2"
    & unpack2("1","2","2","1","1","1","1","2","2") = "2"
    & unpack2("1","2","2","1","1","1","2","1","1") = "2"
    & unpack2("1","2","2","1","1","1","2","1","2") = "2"
    & unpack2("1","2","2","1","1","1","2","2","1") = "2"
    & unpack2("1","2","2","1","1","1","2","2","2") = "2"
    & unpack2("1","2","2","1","1","2","1","1","1") = "2"
    & unpack2("1","2","2","1","1","2","1","1","2") = "2"
    & unpack2("1","2","2","1","1","2","1","2","1") = "2"
    & unpack2("1","2","2","1","1","2","1","2","2") = "2"
    & unpack2("1","2","2","1","1","2","2","1","1") = "2"
    & unpack2("1","2","2","1","1","2","2","1","2") = "2"
    & unpack2("1","2","2","1","1","2","2","2","1") = "2"
    & unpack2("1","2","2","1","1","2","2","2","2") = "2"
    & unpack2("1","2","2","1","2","1","1","1","1") = "2"
    & unpack2("1","2","2","1","2","1","1","1","2") = "2"
    & unpack2("1","2","2","1","2","1","1","2","1") = "1"
    & unpack2("1","2","2","1","2","1","1","2","2") = "2"
    & unpack2("1","2","2","1","2","1","2","1","1") = "2"
    & unpack2("1","2","2","1","2","1","2","1","2") = "2"
    & unpack2("1","2","2","1","2","1","2","2","1") = "2"
    & unpack2("1","2","2","1","2","1","2","2","2") = "2"
    & unpack2("1","2","2","1","2","2","1","1","1") = "2"
    & unpack2("1","2","2","1","2","2","1","1","2") = "2"
    & unpack2("1","2","2","1","2","2","1","2","1") = "2"
    & unpack2("1","2","2","1","2","2","1","2","2") = "2"
    & unpack2("1","2","2","1","2","2","2","1","1") = "2"
    & unpack2("1","2","2","1","2","2","2","1","2") = "2"
    & unpack2("1","2","2","1","2","2","2","2","1") = "2"
    & unpack2("1","2","2","1","2","2","2","2","2") = "2"
    & unpack2("1","2","2","2","1","1","1","1","1") = "2"
    & unpack2("1","2","2","2","1","1","1","1","2") = "2"
    & unpack2("1","2","2","2","1","1","1","2","1") = "2"
    & unpack2("1","2","2","2","1","1","1","2","2") = "2"
    & unpack2("1","2","2","2","1","1","2","1","1") = "2"
    & unpack2("1","2","2","2","1","1","2","1","2") = "2"
    & unpack2("1","2","2","2","1","1","2","2","1") = "1"
    & unpack2("1","2","2","2","1","1","2","2","2") = "2"
    & unpack2("1","2","2","2","1","2","1","1","1") = "2"
    & unpack2("1","2","2","2","1","2","1","1","2") = "2"
    & unpack2("1","2","2","2","1","2","1","2","1") = "1"
    & unpack2("1","2","2","2","1","2","1","2","2") = "2"
    & unpack2("1","2","2","2","1","2","2","1","1") = "2"
    & unpack2("1","2","2","2","1","2","2","1","2") = "2"
    & unpack2("1","2","2","2","1","2","2","2","1") = "2"
    & unpack2("1","2","2","2","1","2","2","2","2") = "2"
    & unpack2("1","2","2","2","2","1","1","1","1") = "2"
    & unpack2("1","2","2","2","2","1","1","1","2") = "2"
    & unpack2("1","2","2","2","2","1","1","2","1") = "2"
    & unpack2("1","2","2","2","2","1","1","2","2") = "2"
    & unpack2("1","2","2","2","2","1","2","1","1") = "2"
    & unpack2("1","2","2","2","2","1","2","1","2") = "2"
    & unpack2("1","2","2","2","2","1","2","2","1") = "2"
    & unpack2("1","2","2","2","2","1","2","2","2") = "2"
    & unpack2("1","2","2","2","2","2","1","1","1") = "2"
    & unpack2("1","2","2","2","2","2","1","1","2") = "1"
    & unpack2("1","2","2","2","2","2","1","2","1") = "2"
    & unpack2("1","2","2","2","2","2","1","2","2") = "1"
    & unpack2("1","2","2","2","2","2","2","1","1") = "2"
    & unpack2("1","2","2","2","2","2","2","1","2") = "2"
    & unpack2("1","2","2","2","2","2","2","2","1") = "2"
    & unpack2("1","2","2","2","2","2","2","2","2") = "1"
    & unpack2("2","1","1","1","1","1","1","1","1") = "2"
    & unpack2("2","1","1","1","1","1","1","1","2") = "1"
    & unpack2("2","1","1","1","1","1","1","2","1") = "1"
    & unpack2("2","1","1","1","1","1","1","2","2") = "1"
    & unpack2("2","1","1","1","1","1","2","1","1") = "1"
    & unpack2("2","1","1","1","1","1","2","1","2") = "1"
    & unpack2("2","1","1","1","1","1","2","2","1") = "2"
    & unpack2("2","1","1","1","1","1","2","2","2") = "1"
    & unpack2("2","1","1","1","1","2","1","1","1") = "2"
    & unpack2("2","1","1","1","1","2","1","1","2") = "1"
    & unpack2("2","1","1","1","1","2","1","2","1") = "1"
    & unpack2("2","1","1","1","1","2","1","2","2") = "1"
    & unpack2("2","1","1","1","1","2","2","1","1") = "1"
    & unpack2("2","1","1","1","1","2","2","1","2") = "1"
    & unpack2("2","1","1","1","1","2","2","2","1") = "1"
    & unpack2("2","1","1","1","1","2","2","2","2") = "1"
    & unpack2("2","1","1","1","2","1","1","1","1") = "1"
    & unpack2("2","1","1","1","2","1","1","1","2") = "1"
    & unpack2("2","1","1","1","2","1","1","2","1") = "1"
    & unpack2("2","1","1","1","2","1","1","2","2") = "1"
    & unpack2("2","1","1","1","2","1","2","1","1") = "1"
    & unpack2("2","1","1","1","2","1","2","1","2") = "2"
    & unpack2("2","1","1","1","2","1","2","2","1") = "1"
    & unpack2("2","1","1","1","2","1","2","2","2") = "1"
    & unpack2("2","1","1","1","2","2","1","1","1") = "1"
    & unpack2("2","1","1","1","2","2","1","1","2") = "1"
    & unpack2("2","1","1","1","2","2","1","2","1") = "1"
    & unpack2("2","1","1","1","2","2","1","2","2") = "1"
    & unpack2("2","1","1","1","2","2","2","1","1") = "1"
    & unpack2("2","1","1","1","2","2","2","1","2") = "2"
    & unpack2("2","1","1","1","2","2","2","2","1") = "1"
    & unpack2("2","1","1","1","2","2","2","2","2") = "1"
    & unpack2("2","1","1","2","1","1","1","1","1") = "1"
    & unpack2("2","1","1","2","1","1","1","1","2") = "2"
    & unpack2("2","1","1","2","1","1","1","2","1") = "1"
    & unpack2("2","1","1","2","1","1","1","2","2") = "1"
    & unpack2("2","1","1","2","1","1","2","1","1") = "2"
    & unpack2("2","1","1","2","1","1","2","1","2") = "1"
    & unpack2("2","1","1","2","1","1","2","2","1") = "1"
    & unpack2("2","1","1","2","1","1","2","2","2") = "1"
    & unpack2("2","1","1","2","1","2","1","1","1") = "1"
    & unpack2("2","1","1","2","1","2","1","1","2") = "1"
    & unpack2("2","1","1","2","1","2","1","2","1") = "1"
    & unpack2("2","1","1","2","1","2","1","2","2") = "1"
    & unpack2("2","1","1","2","1","2","2","1","1") = "1"
    & unpack2("2","1","1","2","1","2","2","1","2") = "1"
    & unpack2("2","1","1","2","1","2","2","2","1") = "1"
    & unpack2("2","1","1","2","1","2","2","2","2") = "1"
    & unpack2("2","1","1","2","2","1","1","1","1") = "1"
    & unpack2("2","1","1","2","2","1","1","1","2") = "1"
    & unpack2("2","1","1","2","2","1","1","2","1") = "1"
    & unpack2("2","1","1","2","2","1","1","2","2") = "1"
    & unpack2("2","1","1","2","2","1","2","1","1") = "1"
    & unpack2("2","1","1","2","2","1","2","1","2") = "1"
    & unpack2("2","1","1","2","2","1","2","2","1") = "1"
    & unpack2("2","1","1","2","2","1","2","2","2") = "2"
    & unpack2("2","1","1","2","2","2","1","1","1") = "1"
    & unpack2("2","1","1","2","2","2","1","1","2") = "2"
    & unpack2("2","1","1","2","2","2","1","2","1") = "1"
    & unpack2("2","1","1","2","2","2","1","2","2") = "2"
    & unpack2("2","1","1","2","2","2","2","1","1") = "1"
    & unpack2("2","1","1","2","2","2","2","1","2") = "1"
    & unpack2("2","1","1","2","2","2","2","2","1") = "1"
    & unpack2("2","1","1","2","2","2","2","2","2") = "1"
    & unpack2("2","1","2","1","1","1","1","1","1") = "2"
    & unpack2("2","1","2","1","1","1","1","1","2") = "1"
    & unpack2("2","1","2","1","1","1","1","2","1") = "1"
    & unpack2("2","1","2","1","1","1","1","2","2") = "1"
    & unpack2("2","1","2","1","1","1","2","1","1") = "1"
    & unpack2("2","1","2","1","1","1","2","1","2") = "1"
    & unpack2("2","1","2","1","1","1","2","2","1") = "2"
    & unpack2("2","1","2","1","1","1","2","2","2") = "1"
    & unpack2("2","1","2","1","1","2","1","1","1") = "1"
    & unpack2("2","1","2","1","1","2","1","1","2") = "1"
    & unpack2("2","1","2","1","1","2","1","2","1") = "1"
    & unpack2("2","1","2","1","1","2","1","2","2") = "1"
    & unpack2("2","1","2","1","1","2","2","1","1") = "1"
    & unpack2("2","1","2","1","1","2","2","1","2") = "1"
    & unpack2("2","1","2","1","1","2","2","2","1") = "1"
    & unpack2("2","1","2","1","1","2","2","2","2") = "1"
    & unpack2("2","1","2","1","2","1","1","1","1") = "1"
    & unpack2("2","1","2","1","2","1","1","1","2") = "2"
    & unpack2("2","1","2","1","2","1","1","2","1") = "1"
    & unpack2("2","1","2","1","2","1","1","2","2") = "1"
    & unpack2("2","1","2","1","2","1","2","1","1") = "1"
    & unpack2("2","1","2","1","2","1","2","1","2") = "1"
    & unpack2("2","1","2","1","2","1","2","2","1") = "1"
    & unpack2("2","1","2","1","2","1","2","2","2") = "1"
    & unpack2("2","1","2","1","2","2","1","1","1") = "1"
    & unpack2("2","1","2","1","2","2","1","1","2") = "1"
    & unpack2("2","1","2","1","2","2","1","2","1") = "2"
    & unpack2("2","1","2","1","2","2","1","2","2") = "2"
    & unpack2("2","1","2","1","2","2","2","1","1") = "1"
    & unpack2("2","1","2","1","2","2","2","1","2") = "1"
    & unpack2("2","1","2","1","2","2","2","2","1") = "1"
    & unpack2("2","1","2","1","2","2","2","2","2") = "1"
    & unpack2("2","1","2","2","1","1","1","1","1") = "1"
    & unpack2("2","1","2","2","1","1","1","1","2") = "1"
    & unpack2("2","1","2","2","1","1","1","2","1") = "1"
    & unpack2("2","1","2","2","1","1","1","2","2") = "1"
    & unpack2("2","1","2","2","1","1","2","1","1") = "1"
    & unpack2("2","1","2","2","1","1","2","1","2") = "1"
    & unpack2("2","1","2","2","1","1","2","2","1") = "1"
    & unpack2("2","1","2","2","1","1","2","2","2") = "1"
    & unpack2("2","1","2","2","1","2","1","1","1") = "1"
    & unpack2("2","1","2","2","1","2","1","1","2") = "1"
    & unpack2("2","1","2","2","1","2","1","2","1") = "1"
    & unpack2("2","1","2","2","1","2","1","2","2") = "1"
    & unpack2("2","1","2","2","1","2","2","1","1") = "1"
    & unpack2("2","1","2","2","1","2","2","1","2") = "1"
    & unpack2("2","1","2","2","1","2","2","2","1") = "2"
    & unpack2("2","1","2","2","1","2","2","2","2") = "1"
    & unpack2("2","1","2","2","2","1","1","1","1") = "1"
    & unpack2("2","1","2","2","2","1","1","1","2") = "1"
    & unpack2("2","1","2","2","2","1","1","2","1") = "1"
    & unpack2("2","1","2","2","2","1","1","2","2") = "1"
    & unpack2("2","1","2","2","2","1","2","1","1") = "1"
    & unpack2("2","1","2","2","2","1","2","1","2") = "1"
    & unpack2("2","1","2","2","2","1","2","2","1") = "1"
    & unpack2("2","1","2","2","2","1","2","2","2") = "1"
    & unpack2("2","1","2","2","2","2","1","1","1") = "1"
    & unpack2("2","1","2","2","2","2","1","1","2") = "1"
    & unpack2("2","1","2","2","2","2","1","2","1") = "1"
    & unpack2("2","1","2","2","2","2","1","2","2") = "1"
    & unpack2("2","1","2","2","2","2","2","1","1") = "1"
    & unpack2("2","1","2","2","2","2","2","1","2") = "2"
    & unpack2("2","1","2","2","2","2","2","2","1") = "1"
    & unpack2("2","1","2","2","2","2","2","2","2") = "1"
    & unpack2("2","2","1","1","1","1","1","1","1") = "2"
    & unpack2("2","2","1","1","1","1","1","1","2") = "2"
    & unpack2("2","2","1","1","1","1","1","2","1") = "2"
    & unpack2("2","2","1","1","1","1","1","2","2") = "1"
    & unpack2("2","2","1","1","1","1","2","1","1") = "2"
    & unpack2("2","2","1","1","1","1","2","1","2") = "2"
    & unpack2("2","2","1","1","1","1","2","2","1") = "2"
    & unpack2("2","2","1","1","1","1","2","2","2") = "2"
    & unpack2("2","2","1","1","1","2","1","1","1") = "2"
    & unpack2("2","2","1","1","1","2","1","1","2") = "2"
    & unpack2("2","2","1","1","1","2","1","2","1") = "1"
    & unpack2("2","2","1","1","1","2","1","2","2") = "2"
    & unpack2("2","2","1","1","1","2","2","1","1") = "2"
    & unpack2("2","2","1","1","1","2","2","1","2") = "2"
    & unpack2("2","2","1","1","1","2","2","2","1") = "2"
    & unpack2("2","2","1","1","1","2","2","2","2") = "2"
    & unpack2("2","2","1","1","2","1","1","1","1") = "2"
    & unpack2("2","2","1","1","2","1","1","1","2") = "2"
    & unpack2("2","2","1","1","2","1","1","2","1") = "2"
    & unpack2("2","2","1","1","2","1","1","2","2") = "2"
    & unpack2("2","2","1","1","2","1","2","1","1") = "2"
    & unpack2("2","2","1","1","2","1","2","1","2") = "2"
    & unpack2("2","2","1","1","2","1","2","2","1") = "2"
    & unpack2("2","2","1","1","2","1","2","2","2") = "2"
    & unpack2("2","2","1","1","2","2","1","1","1") = "2"
    & unpack2("2","2","1","1","2","2","1","1","2") = "2"
    & unpack2("2","2","1","1","2","2","1","2","1") = "2"
    & unpack2("2","2","1","1","2","2","1","2","2") = "2"
    & unpack2("2","2","1","1","2","2","2","1","1") = "2"
    & unpack2("2","2","1","1","2","2","2","1","2") = "2"
    & unpack2("2","2","1","1","2","2","2","2","1") = "1"
    & unpack2("2","2","1","1","2","2","2","2","2") = "2"
    & unpack2("2","2","1","2","1","1","1","1","1") = "2"
    & unpack2("2","2","1","2","1","1","1","1","2") = "2"
    & unpack2("2","2","1","2","1","1","1","2","1") = "2"
    & unpack2("2","2","1","2","1","1","1","2","2") = "2"
    & unpack2("2","2","1","2","1","1","2","1","1") = "2"
    & unpack2("2","2","1","2","1","1","2","1","2") = "2"
    & unpack2("2","2","1","2","1","1","2","2","1") = "2"
    & unpack2("2","2","1","2","1","1","2","2","2") = "1"
    & unpack2("2","2","1","2","1","2","1","1","1") = "2"
    & unpack2("2","2","1","2","1","2","1","1","2") = "2"
    & unpack2("2","2","1","2","1","2","1","2","1") = "2"
    & unpack2("2","2","1","2","1","2","1","2","2") = "2"
    & unpack2("2","2","1","2","1","2","2","1","1") = "2"
    & unpack2("2","2","1","2","1","2","2","1","2") = "1"
    & unpack2("2","2","1","2","1","2","2","2","1") = "2"
    & unpack2("2","2","1","2","1","2","2","2","2") = "1"
    & unpack2("2","2","1","2","2","1","1","1","1") = "1"
    & unpack2("2","2","1","2","2","1","1","1","2") = "2"
    & unpack2("2","2","1","2","2","1","1","2","1") = "2"
    & unpack2("2","2","1","2","2","1","1","2","2") = "2"
    & unpack2("2","2","1","2","2","1","2","1","1") = "2"
    & unpack2("2","2","1","2","2","1","2","1","2") = "2"
    & unpack2("2","2","1","2","2","1","2","2","1") = "2"
    & unpack2("2","2","1","2","2","1","2","2","2") = "2"
    & unpack2("2","2","1","2","2","2","1","1","1") = "2"
    & unpack2("2","2","1","2","2","2","1","1","2") = "2"
    & unpack2("2","2","1","2","2","2","1","2","1") = "2"
    & unpack2("2","2","1","2","2","2","1","2","2") = "2"
    & unpack2("2","2","1","2","2","2","2","1","1") = "2"
    & unpack2("2","2","1","2","2","2","2","1","2") = "2"
    & unpack2("2","2","1","2","2","2","2","2","1") = "2"
    & unpack2("2","2","1","2","2","2","2","2","2") = "2"
    & unpack2("2","2","2","1","1","1","1","1","1") = "2"
    & unpack2("2","2","2","1","1","1","1","1","2") = "2"
    & unpack2("2","2","2","1","1","1","1","2","1") = "2"
    & unpack2("2","2","2","1","1","1","1","2","2") = "2"
    & unpack2("2","2","2","1","1","1","2","1","1") = "2"
    & unpack2("2","2","2","1","1","1","2","1","2") = "2"
    & unpack2("2","2","2","1","1","1","2","2","1") = "2"
    & unpack2("2","2","2","1","1","1","2","2","2") = "2"
    & unpack2("2","2","2","1","1","2","1","1","1") = "2"
    & unpack2("2","2","2","1","1","2","1","1","2") = "1"
    & unpack2("2","2","2","1","1","2","1","2","1") = "2"
    & unpack2("2","2","2","1","1","2","1","2","2") = "2"
    & unpack2("2","2","2","1","1","2","2","1","1") = "2"
    & unpack2("2","2","2","1","1","2","2","1","2") = "2"
    & unpack2("2","2","2","1","1","2","2","2","1") = "2"
    & unpack2("2","2","2","1","1","2","2","2","2") = "1"
    & unpack2("2","2","2","1","2","1","1","1","1") = "2"
    & unpack2("2","2","2","1","2","1","1","1","2") = "2"
    & unpack2("2","2","2","1","2","1","1","2","1") = "2"
    & unpack2("2","2","2","1","2","1","1","2","2") = "2"
    & unpack2("2","2","2","1","2","1","2","1","1") = "1"
    & unpack2("2","2","2","1","2","1","2","1","2") = "2"
    & unpack2("2","2","2","1","2","1","2","2","1") = "2"
    & unpack2("2","2","2","1","2","1","2","2","2") = "2"
    & unpack2("2","2","2","1","2","2","1","1","1") = "2"
    & unpack2("2","2","2","1","2","2","1","1","2") = "2"
    & unpack2("2","2","2","1","2","2","1","2","1") = "2"
    & unpack2("2","2","2","1","2","2","1","2","2") = "2"
    & unpack2("2","2","2","1","2","2","2","1","1") = "2"
    & unpack2("2","2","2","1","2","2","2","1","2") = "2"
    & unpack2("2","2","2","1","2","2","2","2","1") = "2"
    & unpack2("2","2","2","1","2","2","2","2","2") = "2"
    & unpack2("2","2","2","2","1","1","1","1","1") = "2"
    & unpack2("2","2","2","2","1","1","1","1","2") = "2"
    & unpack2("2","2","2","2","1","1","1","2","1") = "2"
    & unpack2("2","2","2","2","1","1","1","2","2") = "2"
    & unpack2("2","2","2","2","1","1","2","1","1") = "2"
    & unpack2("2","2","2","2","1","1","2","1","2") = "2"
    & unpack2("2","2","2","2","1","1","2","2","1") = "2"
    & unpack2("2","2","2","2","1","1","2","2","2") = "2"
    & unpack2("2","2","2","2","1","2","1","1","1") = "1"
    & unpack2("2","2","2","2","1","2","1","1","2") = "2"
    & unpack2("2","2","2","2","1","2","1","2","1") = "2"
    & unpack2("2","2","2","2","1","2","1","2","2") = "2"
    & unpack2("2","2","2","2","1","2","2","1","1") = "2"
    & unpack2("2","2","2","2","1","2","2","1","2") = "2"
    & unpack2("2","2","2","2","1","2","2","2","1") = "2"
    & unpack2("2","2","2","2","1","2","2","2","2") = "2"
    & unpack2("2","2","2","2","2","1","1","1","1") = "2"
    & unpack2("2","2","2","2","2","1","1","1","2") = "1"
    & unpack2("2","2","2","2","2","1","1","2","1") = "2"
    & unpack2("2","2","2","2","2","1","1","2","2") = "1"
    & unpack2("2","2","2","2","2","1","2","1","1") = "1"
    & unpack2("2","2","2","2","2","1","2","1","2") = "2"
    & unpack2("2","2","2","2","2","1","2","2","1") = "2"
    & unpack2("2","2","2","2","2","1","2","2","2") = "2"
    & unpack2("2","2","2","2","2","2","1","1","1") = "2"
    & unpack2("2","2","2","2","2","2","1","1","2") = "2"
    & unpack2("2","2","2","2","2","2","1","2","1") = "2"
    & unpack2("2","2","2","2","2","2","1","2","2") = "2"
    & unpack2("2","2","2","2","2","2","2","1","1") = "2"
    & unpack2("2","2","2","2","2","2","2","1","2") = "2"
    & unpack2("2","2","2","2","2","2","2","2","1") = "2"
    & unpack2("2","2","2","2","2","2","2","2","2") = "2" ) ).

fof(unpack3,fi_functors,
    ( unpack3("1","1","1","1","1","1","1","1","1") = "1"
    & unpack3("1","1","1","1","1","1","1","1","2") = "2"
    & unpack3("1","1","1","1","1","1","1","2","1") = "1"
    & unpack3("1","1","1","1","1","1","1","2","2") = "1"
    & unpack3("1","1","1","1","1","1","2","1","1") = "1"
    & unpack3("1","1","1","1","1","1","2","1","2") = "1"
    & unpack3("1","1","1","1","1","1","2","2","1") = "1"
    & unpack3("1","1","1","1","1","1","2","2","2") = "1"
    & unpack3("1","1","1","1","1","2","1","1","1") = "1"
    & unpack3("1","1","1","1","1","2","1","1","2") = "1"
    & unpack3("1","1","1","1","1","2","1","2","1") = "1"
    & unpack3("1","1","1","1","1","2","1","2","2") = "1"
    & unpack3("1","1","1","1","1","2","2","1","1") = "1"
    & unpack3("1","1","1","1","1","2","2","1","2") = "1"
    & unpack3("1","1","1","1","1","2","2","2","1") = "1"
    & unpack3("1","1","1","1","1","2","2","2","2") = "1"
    & unpack3("1","1","1","1","2","1","1","1","1") = "1"
    & unpack3("1","1","1","1","2","1","1","1","2") = "1"
    & unpack3("1","1","1","1","2","1","1","2","1") = "2"
    & unpack3("1","1","1","1","2","1","1","2","2") = "1"
    & unpack3("1","1","1","1","2","1","2","1","1") = "1"
    & unpack3("1","1","1","1","2","1","2","1","2") = "1"
    & unpack3("1","1","1","1","2","1","2","2","1") = "1"
    & unpack3("1","1","1","1","2","1","2","2","2") = "1"
    & unpack3("1","1","1","1","2","2","1","1","1") = "1"
    & unpack3("1","1","1","1","2","2","1","1","2") = "1"
    & unpack3("1","1","1","1","2","2","1","2","1") = "1"
    & unpack3("1","1","1","1","2","2","1","2","2") = "1"
    & unpack3("1","1","1","1","2","2","2","1","1") = "1"
    & unpack3("1","1","1","1","2","2","2","1","2") = "1"
    & unpack3("1","1","1","1","2","2","2","2","1") = "1"
    & unpack3("1","1","1","1","2","2","2","2","2") = "1"
    & unpack3("1","1","1","2","1","1","1","1","1") = "1"
    & unpack3("1","1","1","2","1","1","1","1","2") = "1"
    & unpack3("1","1","1","2","1","1","1","2","1") = "1"
    & unpack3("1","1","1","2","1","1","1","2","2") = "1"
    & unpack3("1","1","1","2","1","1","2","1","1") = "1"
    & unpack3("1","1","1","2","1","1","2","1","2") = "1"
    & unpack3("1","1","1","2","1","1","2","2","1") = "2"
    & unpack3("1","1","1","2","1","1","2","2","2") = "1"
    & unpack3("1","1","1","2","1","2","1","1","1") = "1"
    & unpack3("1","1","1","2","1","2","1","1","2") = "1"
    & unpack3("1","1","1","2","1","2","1","2","1") = "1"
    & unpack3("1","1","1","2","1","2","1","2","2") = "1"
    & unpack3("1","1","1","2","1","2","2","1","1") = "1"
    & unpack3("1","1","1","2","1","2","2","1","2") = "1"
    & unpack3("1","1","1","2","1","2","2","2","1") = "1"
    & unpack3("1","1","1","2","1","2","2","2","2") = "1"
    & unpack3("1","1","1","2","2","1","1","1","1") = "1"
    & unpack3("1","1","1","2","2","1","1","1","2") = "1"
    & unpack3("1","1","1","2","2","1","1","2","1") = "1"
    & unpack3("1","1","1","2","2","1","1","2","2") = "1"
    & unpack3("1","1","1","2","2","1","2","1","1") = "1"
    & unpack3("1","1","1","2","2","1","2","1","2") = "1"
    & unpack3("1","1","1","2","2","1","2","2","1") = "1"
    & unpack3("1","1","1","2","2","1","2","2","2") = "1"
    & unpack3("1","1","1","2","2","2","1","1","1") = "1"
    & unpack3("1","1","1","2","2","2","1","1","2") = "2"
    & unpack3("1","1","1","2","2","2","1","2","1") = "1"
    & unpack3("1","1","1","2","2","2","1","2","2") = "1"
    & unpack3("1","1","1","2","2","2","2","1","1") = "1"
    & unpack3("1","1","1","2","2","2","2","1","2") = "1"
    & unpack3("1","1","1","2","2","2","2","2","1") = "1"
    & unpack3("1","1","1","2","2","2","2","2","2") = "2"
    & unpack3("1","1","2","1","1","1","1","1","1") = "2"
    & unpack3("1","1","2","1","1","1","1","1","2") = "2"
    & unpack3("1","1","2","1","1","1","1","2","1") = "2"
    & unpack3("1","1","2","1","1","1","1","2","2") = "2"
    & unpack3("1","1","2","1","1","1","2","1","1") = "1"
    & unpack3("1","1","2","1","1","1","2","1","2") = "2"
    & unpack3("1","1","2","1","1","1","2","2","1") = "2"
    & unpack3("1","1","2","1","1","1","2","2","2") = "1"
    & unpack3("1","1","2","1","1","2","1","1","1") = "2"
    & unpack3("1","1","2","1","1","2","1","1","2") = "2"
    & unpack3("1","1","2","1","1","2","1","2","1") = "1"
    & unpack3("1","1","2","1","1","2","1","2","2") = "2"
    & unpack3("1","1","2","1","1","2","2","1","1") = "1"
    & unpack3("1","1","2","1","1","2","2","1","2") = "2"
    & unpack3("1","1","2","1","1","2","2","2","1") = "2"
    & unpack3("1","1","2","1","1","2","2","2","2") = "2"
    & unpack3("1","1","2","1","2","1","1","1","1") = "2"
    & unpack3("1","1","2","1","2","1","1","1","2") = "2"
    & unpack3("1","1","2","1","2","1","1","2","1") = "2"
    & unpack3("1","1","2","1","2","1","1","2","2") = "2"
    & unpack3("1","1","2","1","2","1","2","1","1") = "2"
    & unpack3("1","1","2","1","2","1","2","1","2") = "2"
    & unpack3("1","1","2","1","2","1","2","2","1") = "2"
    & unpack3("1","1","2","1","2","1","2","2","2") = "2"
    & unpack3("1","1","2","1","2","2","1","1","1") = "1"
    & unpack3("1","1","2","1","2","2","1","1","2") = "2"
    & unpack3("1","1","2","1","2","2","1","2","1") = "2"
    & unpack3("1","1","2","1","2","2","1","2","2") = "2"
    & unpack3("1","1","2","1","2","2","2","1","1") = "2"
    & unpack3("1","1","2","1","2","2","2","1","2") = "2"
    & unpack3("1","1","2","1","2","2","2","2","1") = "2"
    & unpack3("1","1","2","1","2","2","2","2","2") = "2"
    & unpack3("1","1","2","2","1","1","1","1","1") = "1"
    & unpack3("1","1","2","2","1","1","1","1","2") = "2"
    & unpack3("1","1","2","2","1","1","1","2","1") = "2"
    & unpack3("1","1","2","2","1","1","1","2","2") = "1"
    & unpack3("1","1","2","2","1","1","2","1","1") = "2"
    & unpack3("1","1","2","2","1","1","2","1","2") = "2"
    & unpack3("1","1","2","2","1","1","2","2","1") = "2"
    & unpack3("1","1","2","2","1","1","2","2","2") = "2"
    & unpack3("1","1","2","2","1","2","1","1","1") = "2"
    & unpack3("1","1","2","2","1","2","1","1","2") = "2"
    & unpack3("1","1","2","2","1","2","1","2","1") = "2"
    & unpack3("1","1","2","2","1","2","1","2","2") = "1"
    & unpack3("1","1","2","2","1","2","2","1","1") = "2"
    & unpack3("1","1","2","2","1","2","2","1","2") = "1"
    & unpack3("1","1","2","2","1","2","2","2","1") = "2"
    & unpack3("1","1","2","2","1","2","2","2","2") = "2"
    & unpack3("1","1","2","2","2","1","1","1","1") = "2"
    & unpack3("1","1","2","2","2","1","1","1","2") = "2"
    & unpack3("1","1","2","2","2","1","1","2","1") = "2"
    & unpack3("1","1","2","2","2","1","1","2","2") = "2"
    & unpack3("1","1","2","2","2","1","2","1","1") = "2"
    & unpack3("1","1","2","2","2","1","2","1","2") = "1"
    & unpack3("1","1","2","2","2","1","2","2","1") = "2"
    & unpack3("1","1","2","2","2","1","2","2","2") = "2"
    & unpack3("1","1","2","2","2","2","1","1","1") = "2"
    & unpack3("1","1","2","2","2","2","1","1","2") = "2"
    & unpack3("1","1","2","2","2","2","1","2","1") = "2"
    & unpack3("1","1","2","2","2","2","1","2","2") = "2"
    & unpack3("1","1","2","2","2","2","2","1","1") = "2"
    & unpack3("1","1","2","2","2","2","2","1","2") = "2"
    & unpack3("1","1","2","2","2","2","2","2","1") = "2"
    & unpack3("1","1","2","2","2","2","2","2","2") = "2"
    & unpack3("1","2","1","1","1","1","1","1","1") = "1"
    & unpack3("1","2","1","1","1","1","1","1","2") = "1"
    & unpack3("1","2","1","1","1","1","1","2","1") = "1"
    & unpack3("1","2","1","1","1","1","1","2","2") = "1"
    & unpack3("1","2","1","1","1","1","2","1","1") = "1"
    & unpack3("1","2","1","1","1","1","2","1","2") = "1"
    & unpack3("1","2","1","1","1","1","2","2","1") = "1"
    & unpack3("1","2","1","1","1","1","2","2","2") = "1"
    & unpack3("1","2","1","1","1","2","1","1","1") = "1"
    & unpack3("1","2","1","1","1","2","1","1","2") = "1"
    & unpack3("1","2","1","1","1","2","1","2","1") = "1"
    & unpack3("1","2","1","1","1","2","1","2","2") = "2"
    & unpack3("1","2","1","1","1","2","2","1","1") = "1"
    & unpack3("1","2","1","1","1","2","2","1","2") = "1"
    & unpack3("1","2","1","1","1","2","2","2","1") = "2"
    & unpack3("1","2","1","1","1","2","2","2","2") = "1"
    & unpack3("1","2","1","1","2","1","1","1","1") = "1"
    & unpack3("1","2","1","1","2","1","1","1","2") = "1"
    & unpack3("1","2","1","1","2","1","1","2","1") = "1"
    & unpack3("1","2","1","1","2","1","1","2","2") = "1"
    & unpack3("1","2","1","1","2","1","2","1","1") = "1"
    & unpack3("1","2","1","1","2","1","2","1","2") = "1"
    & unpack3("1","2","1","1","2","1","2","2","1") = "1"
    & unpack3("1","2","1","1","2","1","2","2","2") = "1"
    & unpack3("1","2","1","1","2","2","1","1","1") = "1"
    & unpack3("1","2","1","1","2","2","1","1","2") = "1"
    & unpack3("1","2","1","1","2","2","1","2","1") = "1"
    & unpack3("1","2","1","1","2","2","1","2","2") = "1"
    & unpack3("1","2","1","1","2","2","2","1","1") = "2"
    & unpack3("1","2","1","1","2","2","2","1","2") = "1"
    & unpack3("1","2","1","1","2","2","2","2","1") = "1"
    & unpack3("1","2","1","1","2","2","2","2","2") = "1"
    & unpack3("1","2","1","2","1","1","1","1","1") = "1"
    & unpack3("1","2","1","2","1","1","1","1","2") = "1"
    & unpack3("1","2","1","2","1","1","1","2","1") = "1"
    & unpack3("1","2","1","2","1","1","1","2","2") = "1"
    & unpack3("1","2","1","2","1","1","2","1","1") = "1"
    & unpack3("1","2","1","2","1","1","2","1","2") = "2"
    & unpack3("1","2","1","2","1","1","2","2","1") = "1"
    & unpack3("1","2","1","2","1","1","2","2","2") = "1"
    & unpack3("1","2","1","2","1","2","1","1","1") = "1"
    & unpack3("1","2","1","2","1","2","1","1","2") = "1"
    & unpack3("1","2","1","2","1","2","1","2","1") = "1"
    & unpack3("1","2","1","2","1","2","1","2","2") = "1"
    & unpack3("1","2","1","2","1","2","2","1","1") = "1"
    & unpack3("1","2","1","2","1","2","2","1","2") = "1"
    & unpack3("1","2","1","2","1","2","2","2","1") = "1"
    & unpack3("1","2","1","2","1","2","2","2","2") = "1"
    & unpack3("1","2","1","2","2","1","1","1","1") = "2"
    & unpack3("1","2","1","2","2","1","1","1","2") = "1"
    & unpack3("1","2","1","2","2","1","1","2","1") = "1"
    & unpack3("1","2","1","2","2","1","1","2","2") = "1"
    & unpack3("1","2","1","2","2","1","2","1","1") = "1"
    & unpack3("1","2","1","2","2","1","2","1","2") = "1"
    & unpack3("1","2","1","2","2","1","2","2","1") = "1"
    & unpack3("1","2","1","2","2","1","2","2","2") = "1"
    & unpack3("1","2","1","2","2","2","1","1","1") = "1"
    & unpack3("1","2","1","2","2","2","1","1","2") = "2"
    & unpack3("1","2","1","2","2","2","1","2","1") = "1"
    & unpack3("1","2","1","2","2","2","1","2","2") = "1"
    & unpack3("1","2","1","2","2","2","2","1","1") = "1"
    & unpack3("1","2","1","2","2","2","2","1","2") = "1"
    & unpack3("1","2","1","2","2","2","2","2","1") = "1"
    & unpack3("1","2","1","2","2","2","2","2","2") = "1"
    & unpack3("1","2","2","1","1","1","1","1","1") = "2"
    & unpack3("1","2","2","1","1","1","1","1","2") = "2"
    & unpack3("1","2","2","1","1","1","1","2","1") = "2"
    & unpack3("1","2","2","1","1","1","1","2","2") = "2"
    & unpack3("1","2","2","1","1","1","2","1","1") = "2"
    & unpack3("1","2","2","1","1","1","2","1","2") = "2"
    & unpack3("1","2","2","1","1","1","2","2","1") = "2"
    & unpack3("1","2","2","1","1","1","2","2","2") = "2"
    & unpack3("1","2","2","1","1","2","1","1","1") = "1"
    & unpack3("1","2","2","1","1","2","1","1","2") = "2"
    & unpack3("1","2","2","1","1","2","1","2","1") = "2"
    & unpack3("1","2","2","1","1","2","1","2","2") = "2"
    & unpack3("1","2","2","1","1","2","2","1","1") = "2"
    & unpack3("1","2","2","1","1","2","2","1","2") = "1"
    & unpack3("1","2","2","1","1","2","2","2","1") = "2"
    & unpack3("1","2","2","1","1","2","2","2","2") = "2"
    & unpack3("1","2","2","1","2","1","1","1","1") = "2"
    & unpack3("1","2","2","1","2","1","1","1","2") = "1"
    & unpack3("1","2","2","1","2","1","1","2","1") = "2"
    & unpack3("1","2","2","1","2","1","1","2","2") = "1"
    & unpack3("1","2","2","1","2","1","2","1","1") = "2"
    & unpack3("1","2","2","1","2","1","2","1","2") = "2"
    & unpack3("1","2","2","1","2","1","2","2","1") = "2"
    & unpack3("1","2","2","1","2","1","2","2","2") = "2"
    & unpack3("1","2","2","1","2","2","1","1","1") = "2"
    & unpack3("1","2","2","1","2","2","1","1","2") = "1"
    & unpack3("1","2","2","1","2","2","1","2","1") = "2"
    & unpack3("1","2","2","1","2","2","1","2","2") = "2"
    & unpack3("1","2","2","1","2","2","2","1","1") = "2"
    & unpack3("1","2","2","1","2","2","2","1","2") = "2"
    & unpack3("1","2","2","1","2","2","2","2","1") = "2"
    & unpack3("1","2","2","1","2","2","2","2","2") = "2"
    & unpack3("1","2","2","2","1","1","1","1","1") = "2"
    & unpack3("1","2","2","2","1","1","1","1","2") = "2"
    & unpack3("1","2","2","2","1","1","1","2","1") = "1"
    & unpack3("1","2","2","2","1","1","1","2","2") = "1"
    & unpack3("1","2","2","2","1","1","2","1","1") = "2"
    & unpack3("1","2","2","2","1","1","2","1","2") = "2"
    & unpack3("1","2","2","2","1","1","2","2","1") = "2"
    & unpack3("1","2","2","2","1","1","2","2","2") = "2"
    & unpack3("1","2","2","2","1","2","1","1","1") = "1"
    & unpack3("1","2","2","2","1","2","1","1","2") = "2"
    & unpack3("1","2","2","2","1","2","1","2","1") = "2"
    & unpack3("1","2","2","2","1","2","1","2","2") = "2"
    & unpack3("1","2","2","2","1","2","2","1","1") = "2"
    & unpack3("1","2","2","2","1","2","2","1","2") = "2"
    & unpack3("1","2","2","2","1","2","2","2","1") = "2"
    & unpack3("1","2","2","2","1","2","2","2","2") = "1"
    & unpack3("1","2","2","2","2","1","1","1","1") = "2"
    & unpack3("1","2","2","2","2","1","1","1","2") = "2"
    & unpack3("1","2","2","2","2","1","1","2","1") = "2"
    & unpack3("1","2","2","2","2","1","1","2","2") = "2"
    & unpack3("1","2","2","2","2","1","2","1","1") = "2"
    & unpack3("1","2","2","2","2","1","2","1","2") = "2"
    & unpack3("1","2","2","2","2","1","2","2","1") = "2"
    & unpack3("1","2","2","2","2","1","2","2","2") = "2"
    & unpack3("1","2","2","2","2","2","1","1","1") = "2"
    & unpack3("1","2","2","2","2","2","1","1","2") = "2"
    & unpack3("1","2","2","2","2","2","1","2","1") = "1"
    & unpack3("1","2","2","2","2","2","1","2","2") = "2"
    & unpack3("1","2","2","2","2","2","2","1","1") = "2"
    & unpack3("1","2","2","2","2","2","2","1","2") = "2"
    & unpack3("1","2","2","2","2","2","2","2","1") = "1"
    & unpack3("1","2","2","2","2","2","2","2","2") = "2"
    & unpack3("2","1","1","1","1","1","1","1","1") = "1"
    & unpack3("2","1","1","1","1","1","1","1","2") = "1"
    & unpack3("2","1","1","1","1","1","1","2","1") = "1"
    & unpack3("2","1","1","1","1","1","1","2","2") = "1"
    & unpack3("2","1","1","1","1","1","2","1","1") = "1"
    & unpack3("2","1","1","1","1","1","2","1","2") = "1"
    & unpack3("2","1","1","1","1","1","2","2","1") = "1"
    & unpack3("2","1","1","1","1","1","2","2","2") = "1"
    & unpack3("2","1","1","1","1","2","1","1","1") = "1"
    & unpack3("2","1","1","1","1","2","1","1","2") = "1"
    & unpack3("2","1","1","1","1","2","1","2","1") = "1"
    & unpack3("2","1","1","1","1","2","1","2","2") = "1"
    & unpack3("2","1","1","1","1","2","2","1","1") = "1"
    & unpack3("2","1","1","1","1","2","2","1","2") = "1"
    & unpack3("2","1","1","1","1","2","2","2","1") = "1"
    & unpack3("2","1","1","1","1","2","2","2","2") = "2"
    & unpack3("2","1","1","1","2","1","1","1","1") = "1"
    & unpack3("2","1","1","1","2","1","1","1","2") = "1"
    & unpack3("2","1","1","1","2","1","1","2","1") = "1"
    & unpack3("2","1","1","1","2","1","1","2","2") = "1"
    & unpack3("2","1","1","1","2","1","2","1","1") = "2"
    & unpack3("2","1","1","1","2","1","2","1","2") = "1"
    & unpack3("2","1","1","1","2","1","2","2","1") = "1"
    & unpack3("2","1","1","1","2","1","2","2","2") = "1"
    & unpack3("2","1","1","1","2","2","1","1","1") = "1"
    & unpack3("2","1","1","1","2","2","1","1","2") = "1"
    & unpack3("2","1","1","1","2","2","1","2","1") = "1"
    & unpack3("2","1","1","1","2","2","1","2","2") = "2"
    & unpack3("2","1","1","1","2","2","2","1","1") = "1"
    & unpack3("2","1","1","1","2","2","2","1","2") = "1"
    & unpack3("2","1","1","1","2","2","2","2","1") = "1"
    & unpack3("2","1","1","1","2","2","2","2","2") = "1"
    & unpack3("2","1","1","2","1","1","1","1","1") = "1"
    & unpack3("2","1","1","2","1","1","1","1","2") = "1"
    & unpack3("2","1","1","2","1","1","1","2","1") = "1"
    & unpack3("2","1","1","2","1","1","1","2","2") = "1"
    & unpack3("2","1","1","2","1","1","2","1","1") = "1"
    & unpack3("2","1","1","2","1","1","2","1","2") = "1"
    & unpack3("2","1","1","2","1","1","2","2","1") = "1"
    & unpack3("2","1","1","2","1","1","2","2","2") = "1"
    & unpack3("2","1","1","2","1","2","1","1","1") = "2"
    & unpack3("2","1","1","2","1","2","1","1","2") = "1"
    & unpack3("2","1","1","2","1","2","1","2","1") = "1"
    & unpack3("2","1","1","2","1","2","1","2","2") = "1"
    & unpack3("2","1","1","2","1","2","2","1","1") = "1"
    & unpack3("2","1","1","2","1","2","2","1","2") = "1"
    & unpack3("2","1","1","2","1","2","2","2","1") = "1"
    & unpack3("2","1","1","2","1","2","2","2","2") = "1"
    & unpack3("2","1","1","2","2","1","1","1","1") = "1"
    & unpack3("2","1","1","2","2","1","1","1","2") = "1"
    & unpack3("2","1","1","2","2","1","1","2","1") = "1"
    & unpack3("2","1","1","2","2","1","1","2","2") = "2"
    & unpack3("2","1","1","2","2","1","2","1","1") = "1"
    & unpack3("2","1","1","2","2","1","2","1","2") = "1"
    & unpack3("2","1","1","2","2","1","2","2","1") = "1"
    & unpack3("2","1","1","2","2","1","2","2","2") = "1"
    & unpack3("2","1","1","2","2","2","1","1","1") = "1"
    & unpack3("2","1","1","2","2","2","1","1","2") = "1"
    & unpack3("2","1","1","2","2","2","1","2","1") = "1"
    & unpack3("2","1","1","2","2","2","1","2","2") = "1"
    & unpack3("2","1","1","2","2","2","2","1","1") = "1"
    & unpack3("2","1","1","2","2","2","2","1","2") = "1"
    & unpack3("2","1","1","2","2","2","2","2","1") = "1"
    & unpack3("2","1","1","2","2","2","2","2","2") = "1"
    & unpack3("2","1","2","1","1","1","1","1","1") = "2"
    & unpack3("2","1","2","1","1","1","1","1","2") = "2"
    & unpack3("2","1","2","1","1","1","1","2","1") = "1"
    & unpack3("2","1","2","1","1","1","1","2","2") = "1"
    & unpack3("2","1","2","1","1","1","2","1","1") = "2"
    & unpack3("2","1","2","1","1","1","2","1","2") = "1"
    & unpack3("2","1","2","1","1","1","2","2","1") = "1"
    & unpack3("2","1","2","1","1","1","2","2","2") = "2"
    & unpack3("2","1","2","1","1","2","1","1","1") = "2"
    & unpack3("2","1","2","1","1","2","1","1","2") = "2"
    & unpack3("2","1","2","1","1","2","1","2","1") = "1"
    & unpack3("2","1","2","1","1","2","1","2","2") = "2"
    & unpack3("2","1","2","1","1","2","2","1","1") = "1"
    & unpack3("2","1","2","1","1","2","2","1","2") = "2"
    & unpack3("2","1","2","1","1","2","2","2","1") = "2"
    & unpack3("2","1","2","1","1","2","2","2","2") = "2"
    & unpack3("2","1","2","1","2","1","1","1","1") = "2"
    & unpack3("2","1","2","1","2","1","1","1","2") = "1"
    & unpack3("2","1","2","1","2","1","1","2","1") = "2"
    & unpack3("2","1","2","1","2","1","1","2","2") = "2"
    & unpack3("2","1","2","1","2","1","2","1","1") = "2"
    & unpack3("2","1","2","1","2","1","2","1","2") = "2"
    & unpack3("2","1","2","1","2","1","2","2","1") = "2"
    & unpack3("2","1","2","1","2","1","2","2","2") = "2"
    & unpack3("2","1","2","1","2","2","1","1","1") = "2"
    & unpack3("2","1","2","1","2","2","1","1","2") = "2"
    & unpack3("2","1","2","1","2","2","1","2","1") = "2"
    & unpack3("2","1","2","1","2","2","1","2","2") = "2"
    & unpack3("2","1","2","1","2","2","2","1","1") = "2"
    & unpack3("2","1","2","1","2","2","2","1","2") = "2"
    & unpack3("2","1","2","1","2","2","2","2","1") = "1"
    & unpack3("2","1","2","1","2","2","2","2","2") = "2"
    & unpack3("2","1","2","2","1","1","1","1","1") = "2"
    & unpack3("2","1","2","2","1","1","1","1","2") = "1"
    & unpack3("2","1","2","2","1","1","1","2","1") = "1"
    & unpack3("2","1","2","2","1","1","1","2","2") = "2"
    & unpack3("2","1","2","2","1","1","2","1","1") = "2"
    & unpack3("2","1","2","2","1","1","2","1","2") = "2"
    & unpack3("2","1","2","2","1","1","2","2","1") = "2"
    & unpack3("2","1","2","2","1","1","2","2","2") = "1"
    & unpack3("2","1","2","2","1","2","1","1","1") = "2"
    & unpack3("2","1","2","2","1","2","1","1","2") = "2"
    & unpack3("2","1","2","2","1","2","1","2","1") = "2"
    & unpack3("2","1","2","2","1","2","1","2","2") = "1"
    & unpack3("2","1","2","2","1","2","2","1","1") = "2"
    & unpack3("2","1","2","2","1","2","2","1","2") = "1"
    & unpack3("2","1","2","2","1","2","2","2","1") = "2"
    & unpack3("2","1","2","2","1","2","2","2","2") = "2"
    & unpack3("2","1","2","2","2","1","1","1","1") = "1"
    & unpack3("2","1","2","2","2","1","1","1","2") = "2"
    & unpack3("2","1","2","2","2","1","1","2","1") = "2"
    & unpack3("2","1","2","2","2","1","1","2","2") = "2"
    & unpack3("2","1","2","2","2","1","2","1","1") = "2"
    & unpack3("2","1","2","2","2","1","2","1","2") = "1"
    & unpack3("2","1","2","2","2","1","2","2","1") = "2"
    & unpack3("2","1","2","2","2","1","2","2","2") = "2"
    & unpack3("2","1","2","2","2","2","1","1","1") = "2"
    & unpack3("2","1","2","2","2","2","1","1","2") = "2"
    & unpack3("2","1","2","2","2","2","1","2","1") = "1"
    & unpack3("2","1","2","2","2","2","1","2","2") = "2"
    & unpack3("2","1","2","2","2","2","2","1","1") = "1"
    & unpack3("2","1","2","2","2","2","2","1","2") = "2"
    & unpack3("2","1","2","2","2","2","2","2","1") = "2"
    & unpack3("2","1","2","2","2","2","2","2","2") = "2"
    & unpack3("2","2","1","1","1","1","1","1","1") = "2"
    & unpack3("2","2","1","1","1","1","1","1","2") = "1"
    & unpack3("2","2","1","1","1","1","1","2","1") = "1"
    & unpack3("2","2","1","1","1","1","1","2","2") = "1"
    & unpack3("2","2","1","1","1","1","2","1","1") = "1"
    & unpack3("2","2","1","1","1","1","2","1","2") = "1"
    & unpack3("2","2","1","1","1","1","2","2","1") = "1"
    & unpack3("2","2","1","1","1","1","2","2","2") = "1"
    & unpack3("2","2","1","1","1","2","1","1","1") = "1"
    & unpack3("2","2","1","1","1","2","1","1","2") = "1"
    & unpack3("2","2","1","1","1","2","1","2","1") = "1"
    & unpack3("2","2","1","1","1","2","1","2","2") = "1"
    & unpack3("2","2","1","1","1","2","2","1","1") = "1"
    & unpack3("2","2","1","1","1","2","2","1","2") = "1"
    & unpack3("2","2","1","1","1","2","2","2","1") = "1"
    & unpack3("2","2","1","1","1","2","2","2","2") = "1"
    & unpack3("2","2","1","1","2","1","1","1","1") = "1"
    & unpack3("2","2","1","1","2","1","1","1","2") = "1"
    & unpack3("2","2","1","1","2","1","1","2","1") = "1"
    & unpack3("2","2","1","1","2","1","1","2","2") = "1"
    & unpack3("2","2","1","1","2","1","2","1","1") = "1"
    & unpack3("2","2","1","1","2","1","2","1","2") = "1"
    & unpack3("2","2","1","1","2","1","2","2","1") = "1"
    & unpack3("2","2","1","1","2","1","2","2","2") = "1"
    & unpack3("2","2","1","1","2","2","1","1","1") = "1"
    & unpack3("2","2","1","1","2","2","1","1","2") = "1"
    & unpack3("2","2","1","1","2","2","1","2","1") = "2"
    & unpack3("2","2","1","1","2","2","1","2","2") = "1"
    & unpack3("2","2","1","1","2","2","2","1","1") = "2"
    & unpack3("2","2","1","1","2","2","2","1","2") = "1"
    & unpack3("2","2","1","1","2","2","2","2","1") = "1"
    & unpack3("2","2","1","1","2","2","2","2","2") = "1"
    & unpack3("2","2","1","2","1","1","1","1","1") = "1"
    & unpack3("2","2","1","2","1","1","1","1","2") = "1"
    & unpack3("2","2","1","2","1","1","1","2","1") = "1"
    & unpack3("2","2","1","2","1","1","1","2","2") = "1"
    & unpack3("2","2","1","2","1","1","2","1","1") = "1"
    & unpack3("2","2","1","2","1","1","2","1","2") = "1"
    & unpack3("2","2","1","2","1","1","2","2","1") = "1"
    & unpack3("2","2","1","2","1","1","2","2","2") = "1"
    & unpack3("2","2","1","2","1","2","1","1","1") = "1"
    & unpack3("2","2","1","2","1","2","1","1","2") = "1"
    & unpack3("2","2","1","2","1","2","1","2","1") = "1"
    & unpack3("2","2","1","2","1","2","1","2","2") = "1"
    & unpack3("2","2","1","2","1","2","2","1","1") = "1"
    & unpack3("2","2","1","2","1","2","2","1","2") = "1"
    & unpack3("2","2","1","2","1","2","2","2","1") = "2"
    & unpack3("2","2","1","2","1","2","2","2","2") = "1"
    & unpack3("2","2","1","2","2","1","1","1","1") = "1"
    & unpack3("2","2","1","2","2","1","1","1","2") = "1"
    & unpack3("2","2","1","2","2","1","1","2","1") = "1"
    & unpack3("2","2","1","2","2","1","1","2","2") = "1"
    & unpack3("2","2","1","2","2","1","2","1","1") = "1"
    & unpack3("2","2","1","2","2","1","2","1","2") = "1"
    & unpack3("2","2","1","2","2","1","2","2","1") = "1"
    & unpack3("2","2","1","2","2","1","2","2","2") = "2"
    & unpack3("2","2","1","2","2","2","1","1","1") = "1"
    & unpack3("2","2","1","2","2","2","1","1","2") = "1"
    & unpack3("2","2","1","2","2","2","1","2","1") = "1"
    & unpack3("2","2","1","2","2","2","1","2","2") = "1"
    & unpack3("2","2","1","2","2","2","2","1","1") = "2"
    & unpack3("2","2","1","2","2","2","2","1","2") = "2"
    & unpack3("2","2","1","2","2","2","2","2","1") = "1"
    & unpack3("2","2","1","2","2","2","2","2","2") = "1"
    & unpack3("2","2","2","1","1","1","1","1","1") = "2"
    & unpack3("2","2","2","1","1","1","1","1","2") = "2"
    & unpack3("2","2","2","1","1","1","1","2","1") = "2"
    & unpack3("2","2","2","1","1","1","1","2","2") = "1"
    & unpack3("2","2","2","1","1","1","2","1","1") = "2"
    & unpack3("2","2","2","1","1","1","2","1","2") = "2"
    & unpack3("2","2","2","1","1","1","2","2","1") = "1"
    & unpack3("2","2","2","1","1","1","2","2","2") = "1"
    & unpack3("2","2","2","1","1","2","1","1","1") = "2"
    & unpack3("2","2","2","1","1","2","1","1","2") = "2"
    & unpack3("2","2","2","1","1","2","1","2","1") = "2"
    & unpack3("2","2","2","1","1","2","1","2","2") = "2"
    & unpack3("2","2","2","1","1","2","2","1","1") = "2"
    & unpack3("2","2","2","1","1","2","2","1","2") = "1"
    & unpack3("2","2","2","1","1","2","2","2","1") = "2"
    & unpack3("2","2","2","1","1","2","2","2","2") = "2"
    & unpack3("2","2","2","1","2","1","1","1","1") = "2"
    & unpack3("2","2","2","1","2","1","1","1","2") = "1"
    & unpack3("2","2","2","1","2","1","1","2","1") = "2"
    & unpack3("2","2","2","1","2","1","1","2","2") = "2"
    & unpack3("2","2","2","1","2","1","2","1","1") = "2"
    & unpack3("2","2","2","1","2","1","2","1","2") = "1"
    & unpack3("2","2","2","1","2","1","2","2","1") = "1"
    & unpack3("2","2","2","1","2","1","2","2","2") = "2"
    & unpack3("2","2","2","1","2","2","1","1","1") = "2"
    & unpack3("2","2","2","1","2","2","1","1","2") = "2"
    & unpack3("2","2","2","1","2","2","1","2","1") = "2"
    & unpack3("2","2","2","1","2","2","1","2","2") = "2"
    & unpack3("2","2","2","1","2","2","2","1","1") = "2"
    & unpack3("2","2","2","1","2","2","2","1","2") = "2"
    & unpack3("2","2","2","1","2","2","2","2","1") = "2"
    & unpack3("2","2","2","1","2","2","2","2","2") = "1"
    & unpack3("2","2","2","2","1","1","1","1","1") = "2"
    & unpack3("2","2","2","2","1","1","1","1","2") = "1"
    & unpack3("2","2","2","2","1","1","1","2","1") = "2"
    & unpack3("2","2","2","2","1","1","1","2","2") = "2"
    & unpack3("2","2","2","2","1","1","2","1","1") = "1"
    & unpack3("2","2","2","2","1","1","2","1","2") = "2"
    & unpack3("2","2","2","2","1","1","2","2","1") = "2"
    & unpack3("2","2","2","2","1","1","2","2","2") = "2"
    & unpack3("2","2","2","2","1","2","1","1","1") = "2"
    & unpack3("2","2","2","2","1","2","1","1","2") = "2"
    & unpack3("2","2","2","2","1","2","1","2","1") = "2"
    & unpack3("2","2","2","2","1","2","1","2","2") = "1"
    & unpack3("2","2","2","2","1","2","2","1","1") = "2"
    & unpack3("2","2","2","2","1","2","2","1","2") = "2"
    & unpack3("2","2","2","2","1","2","2","2","1") = "2"
    & unpack3("2","2","2","2","1","2","2","2","2") = "2"
    & unpack3("2","2","2","2","2","1","1","1","1") = "2"
    & unpack3("2","2","2","2","2","1","1","1","2") = "2"
    & unpack3("2","2","2","2","2","1","1","2","1") = "2"
    & unpack3("2","2","2","2","2","1","1","2","2") = "2"
    & unpack3("2","2","2","2","2","1","2","1","1") = "2"
    & unpack3("2","2","2","2","2","1","2","1","2") = "2"
    & unpack3("2","2","2","2","2","1","2","2","1") = "2"
    & unpack3("2","2","2","2","2","1","2","2","2") = "2"
    & unpack3("2","2","2","2","2","2","1","1","1") = "2"
    & unpack3("2","2","2","2","2","2","1","1","2") = "2"
    & unpack3("2","2","2","2","2","2","1","2","1") = "2"
    & unpack3("2","2","2","2","2","2","1","2","2") = "1"
    & unpack3("2","2","2","2","2","2","2","1","1") = "2"
    & unpack3("2","2","2","2","2","2","2","1","2") = "2"
    & unpack3("2","2","2","2","2","2","2","2","1") = "2"
    & unpack3("2","2","2","2","2","2","2","2","2") = "2" ) ).

fof(unpack4,fi_functors,
    ( unpack4("1","1","1","1","1","1","1","1","1") = "1"
    & unpack4("1","1","1","1","1","1","1","1","2") = "1"
    & unpack4("1","1","1","1","1","1","1","2","1") = "1"
    & unpack4("1","1","1","1","1","1","1","2","2") = "1"
    & unpack4("1","1","1","1","1","1","2","1","1") = "1"
    & unpack4("1","1","1","1","1","1","2","1","2") = "1"
    & unpack4("1","1","1","1","1","1","2","2","1") = "1"
    & unpack4("1","1","1","1","1","1","2","2","2") = "1"
    & unpack4("1","1","1","1","1","2","1","1","1") = "1"
    & unpack4("1","1","1","1","1","2","1","1","2") = "1"
    & unpack4("1","1","1","1","1","2","1","2","1") = "1"
    & unpack4("1","1","1","1","1","2","1","2","2") = "2"
    & unpack4("1","1","1","1","1","2","2","1","1") = "1"
    & unpack4("1","1","1","1","1","2","2","1","2") = "1"
    & unpack4("1","1","1","1","1","2","2","2","1") = "1"
    & unpack4("1","1","1","1","1","2","2","2","2") = "2"
    & unpack4("1","1","1","1","2","1","1","1","1") = "1"
    & unpack4("1","1","1","1","2","1","1","1","2") = "1"
    & unpack4("1","1","1","1","2","1","1","2","1") = "1"
    & unpack4("1","1","1","1","2","1","1","2","2") = "1"
    & unpack4("1","1","1","1","2","1","2","1","1") = "1"
    & unpack4("1","1","1","1","2","1","2","1","2") = "2"
    & unpack4("1","1","1","1","2","1","2","2","1") = "1"
    & unpack4("1","1","1","1","2","1","2","2","2") = "2"
    & unpack4("1","1","1","1","2","2","1","1","1") = "1"
    & unpack4("1","1","1","1","2","2","1","1","2") = "1"
    & unpack4("1","1","1","1","2","2","1","2","1") = "1"
    & unpack4("1","1","1","1","2","2","1","2","2") = "1"
    & unpack4("1","1","1","1","2","2","2","1","1") = "1"
    & unpack4("1","1","1","1","2","2","2","1","2") = "1"
    & unpack4("1","1","1","1","2","2","2","2","1") = "1"
    & unpack4("1","1","1","1","2","2","2","2","2") = "1"
    & unpack4("1","1","1","2","1","1","1","1","1") = "2"
    & unpack4("1","1","1","2","1","1","1","1","2") = "2"
    & unpack4("1","1","1","2","1","1","1","2","1") = "2"
    & unpack4("1","1","1","2","1","1","1","2","2") = "2"
    & unpack4("1","1","1","2","1","1","2","1","1") = "1"
    & unpack4("1","1","1","2","1","1","2","1","2") = "2"
    & unpack4("1","1","1","2","1","1","2","2","1") = "2"
    & unpack4("1","1","1","2","1","1","2","2","2") = "2"
    & unpack4("1","1","1","2","1","2","1","1","1") = "2"
    & unpack4("1","1","1","2","1","2","1","1","2") = "2"
    & unpack4("1","1","1","2","1","2","1","2","1") = "2"
    & unpack4("1","1","1","2","1","2","1","2","2") = "2"
    & unpack4("1","1","1","2","1","2","2","1","1") = "2"
    & unpack4("1","1","1","2","1","2","2","1","2") = "2"
    & unpack4("1","1","1","2","1","2","2","2","1") = "2"
    & unpack4("1","1","1","2","1","2","2","2","2") = "2"
    & unpack4("1","1","1","2","2","1","1","1","1") = "2"
    & unpack4("1","1","1","2","2","1","1","1","2") = "2"
    & unpack4("1","1","1","2","2","1","1","2","1") = "2"
    & unpack4("1","1","1","2","2","1","1","2","2") = "2"
    & unpack4("1","1","1","2","2","1","2","1","1") = "2"
    & unpack4("1","1","1","2","2","1","2","1","2") = "2"
    & unpack4("1","1","1","2","2","1","2","2","1") = "2"
    & unpack4("1","1","1","2","2","1","2","2","2") = "2"
    & unpack4("1","1","1","2","2","2","1","1","1") = "1"
    & unpack4("1","1","1","2","2","2","1","1","2") = "2"
    & unpack4("1","1","1","2","2","2","1","2","1") = "2"
    & unpack4("1","1","1","2","2","2","1","2","2") = "2"
    & unpack4("1","1","1","2","2","2","2","1","1") = "2"
    & unpack4("1","1","1","2","2","2","2","1","2") = "2"
    & unpack4("1","1","1","2","2","2","2","2","1") = "2"
    & unpack4("1","1","1","2","2","2","2","2","2") = "2"
    & unpack4("1","1","2","1","1","1","1","1","1") = "1"
    & unpack4("1","1","2","1","1","1","1","1","2") = "1"
    & unpack4("1","1","2","1","1","1","1","2","1") = "1"
    & unpack4("1","1","2","1","1","1","1","2","2") = "1"
    & unpack4("1","1","2","1","1","1","2","1","1") = "1"
    & unpack4("1","1","2","1","1","1","2","1","2") = "1"
    & unpack4("1","1","2","1","1","1","2","2","1") = "2"
    & unpack4("1","1","2","1","1","1","2","2","2") = "1"
    & unpack4("1","1","2","1","1","2","1","1","1") = "2"
    & unpack4("1","1","2","1","1","2","1","1","2") = "1"
    & unpack4("1","1","2","1","1","2","1","2","1") = "2"
    & unpack4("1","1","2","1","1","2","1","2","2") = "1"
    & unpack4("1","1","2","1","1","2","2","1","1") = "2"
    & unpack4("1","1","2","1","1","2","2","1","2") = "1"
    & unpack4("1","1","2","1","1","2","2","2","1") = "1"
    & unpack4("1","1","2","1","1","2","2","2","2") = "1"
    & unpack4("1","1","2","1","2","1","1","1","1") = "1"
    & unpack4("1","1","2","1","2","1","1","1","2") = "1"
    & unpack4("1","1","2","1","2","1","1","2","1") = "1"
    & unpack4("1","1","2","1","2","1","1","2","2") = "1"
    & unpack4("1","1","2","1","2","1","2","1","1") = "1"
    & unpack4("1","1","2","1","2","1","2","1","2") = "1"
    & unpack4("1","1","2","1","2","1","2","2","1") = "1"
    & unpack4("1","1","2","1","2","1","2","2","2") = "1"
    & unpack4("1","1","2","1","2","2","1","1","1") = "1"
    & unpack4("1","1","2","1","2","2","1","1","2") = "2"
    & unpack4("1","1","2","1","2","2","1","2","1") = "1"
    & unpack4("1","1","2","1","2","2","1","2","2") = "2"
    & unpack4("1","1","2","1","2","2","2","1","1") = "1"
    & unpack4("1","1","2","1","2","2","2","1","2") = "1"
    & unpack4("1","1","2","1","2","2","2","2","1") = "1"
    & unpack4("1","1","2","1","2","2","2","2","2") = "2"
    & unpack4("1","1","2","2","1","1","1","1","1") = "2"
    & unpack4("1","1","2","2","1","1","1","1","2") = "1"
    & unpack4("1","1","2","2","1","1","1","2","1") = "2"
    & unpack4("1","1","2","2","1","1","1","2","2") = "2"
    & unpack4("1","1","2","2","1","1","2","1","1") = "2"
    & unpack4("1","1","2","2","1","1","2","1","2") = "2"
    & unpack4("1","1","2","2","1","1","2","2","1") = "2"
    & unpack4("1","1","2","2","1","1","2","2","2") = "2"
    & unpack4("1","1","2","2","1","2","1","1","1") = "2"
    & unpack4("1","1","2","2","1","2","1","1","2") = "2"
    & unpack4("1","1","2","2","1","2","1","2","1") = "2"
    & unpack4("1","1","2","2","1","2","1","2","2") = "2"
    & unpack4("1","1","2","2","1","2","2","1","1") = "2"
    & unpack4("1","1","2","2","1","2","2","1","2") = "2"
    & unpack4("1","1","2","2","1","2","2","2","1") = "2"
    & unpack4("1","1","2","2","1","2","2","2","2") = "2"
    & unpack4("1","1","2","2","2","1","1","1","1") = "2"
    & unpack4("1","1","2","2","2","1","1","1","2") = "2"
    & unpack4("1","1","2","2","2","1","1","2","1") = "1"
    & unpack4("1","1","2","2","2","1","1","2","2") = "2"
    & unpack4("1","1","2","2","2","1","2","1","1") = "2"
    & unpack4("1","1","2","2","2","1","2","1","2") = "2"
    & unpack4("1","1","2","2","2","1","2","2","1") = "2"
    & unpack4("1","1","2","2","2","1","2","2","2") = "2"
    & unpack4("1","1","2","2","2","2","1","1","1") = "2"
    & unpack4("1","1","2","2","2","2","1","1","2") = "2"
    & unpack4("1","1","2","2","2","2","1","2","1") = "2"
    & unpack4("1","1","2","2","2","2","1","2","2") = "2"
    & unpack4("1","1","2","2","2","2","2","1","1") = "2"
    & unpack4("1","1","2","2","2","2","2","1","2") = "2"
    & unpack4("1","1","2","2","2","2","2","2","1") = "2"
    & unpack4("1","1","2","2","2","2","2","2","2") = "2"
    & unpack4("1","2","1","1","1","1","1","1","1") = "1"
    & unpack4("1","2","1","1","1","1","1","1","2") = "1"
    & unpack4("1","2","1","1","1","1","1","2","1") = "2"
    & unpack4("1","2","1","1","1","1","1","2","2") = "1"
    & unpack4("1","2","1","1","1","1","2","1","1") = "1"
    & unpack4("1","2","1","1","1","1","2","1","2") = "1"
    & unpack4("1","2","1","1","1","1","2","2","1") = "1"
    & unpack4("1","2","1","1","1","1","2","2","2") = "1"
    & unpack4("1","2","1","1","1","2","1","1","1") = "2"
    & unpack4("1","2","1","1","1","2","1","1","2") = "1"
    & unpack4("1","2","1","1","1","2","1","2","1") = "1"
    & unpack4("1","2","1","1","1","2","1","2","2") = "1"
    & unpack4("1","2","1","1","1","2","2","1","1") = "1"
    & unpack4("1","2","1","1","1","2","2","1","2") = "1"
    & unpack4("1","2","1","1","1","2","2","2","1") = "1"
    & unpack4("1","2","1","1","1","2","2","2","2") = "1"
    & unpack4("1","2","1","1","2","1","1","1","1") = "1"
    & unpack4("1","2","1","1","2","1","1","1","2") = "1"
    & unpack4("1","2","1","1","2","1","1","2","1") = "1"
    & unpack4("1","2","1","1","2","1","1","2","2") = "1"
    & unpack4("1","2","1","1","2","1","2","1","1") = "1"
    & unpack4("1","2","1","1","2","1","2","1","2") = "1"
    & unpack4("1","2","1","1","2","1","2","2","1") = "1"
    & unpack4("1","2","1","1","2","1","2","2","2") = "1"
    & unpack4("1","2","1","1","2","2","1","1","1") = "1"
    & unpack4("1","2","1","1","2","2","1","1","2") = "1"
    & unpack4("1","2","1","1","2","2","1","2","1") = "1"
    & unpack4("1","2","1","1","2","2","1","2","2") = "1"
    & unpack4("1","2","1","1","2","2","2","1","1") = "1"
    & unpack4("1","2","1","1","2","2","2","1","2") = "1"
    & unpack4("1","2","1","1","2","2","2","2","1") = "2"
    & unpack4("1","2","1","1","2","2","2","2","2") = "1"
    & unpack4("1","2","1","2","1","1","1","1","1") = "2"
    & unpack4("1","2","1","2","1","1","1","1","2") = "2"
    & unpack4("1","2","1","2","1","1","1","2","1") = "2"
    & unpack4("1","2","1","2","1","1","1","2","2") = "2"
    & unpack4("1","2","1","2","1","1","2","1","1") = "2"
    & unpack4("1","2","1","2","1","1","2","1","2") = "2"
    & unpack4("1","2","1","2","1","1","2","2","1") = "2"
    & unpack4("1","2","1","2","1","1","2","2","2") = "1"
    & unpack4("1","2","1","2","1","2","1","1","1") = "2"
    & unpack4("1","2","1","2","1","2","1","1","2") = "2"
    & unpack4("1","2","1","2","1","2","1","2","1") = "2"
    & unpack4("1","2","1","2","1","2","1","2","2") = "2"
    & unpack4("1","2","1","2","1","2","2","1","1") = "2"
    & unpack4("1","2","1","2","1","2","2","1","2") = "1"
    & unpack4("1","2","1","2","1","2","2","2","1") = "2"
    & unpack4("1","2","1","2","1","2","2","2","2") = "2"
    & unpack4("1","2","1","2","2","1","1","1","1") = "2"
    & unpack4("1","2","1","2","2","1","1","1","2") = "1"
    & unpack4("1","2","1","2","2","1","1","2","1") = "2"
    & unpack4("1","2","1","2","2","1","1","2","2") = "1"
    & unpack4("1","2","1","2","2","1","2","1","1") = "2"
    & unpack4("1","2","1","2","2","1","2","1","2") = "2"
    & unpack4("1","2","1","2","2","1","2","2","1") = "2"
    & unpack4("1","2","1","2","2","1","2","2","2") = "2"
    & unpack4("1","2","1","2","2","2","1","1","1") = "2"
    & unpack4("1","2","1","2","2","2","1","1","2") = "1"
    & unpack4("1","2","1","2","2","2","1","2","1") = "2"
    & unpack4("1","2","1","2","2","2","1","2","2") = "2"
    & unpack4("1","2","1","2","2","2","2","1","1") = "2"
    & unpack4("1","2","1","2","2","2","2","1","2") = "2"
    & unpack4("1","2","1","2","2","2","2","2","1") = "2"
    & unpack4("1","2","1","2","2","2","2","2","2") = "2"
    & unpack4("1","2","2","1","1","1","1","1","1") = "1"
    & unpack4("1","2","2","1","1","1","1","1","2") = "1"
    & unpack4("1","2","2","1","1","1","1","2","1") = "1"
    & unpack4("1","2","2","1","1","1","1","2","2") = "1"
    & unpack4("1","2","2","1","1","1","2","1","1") = "1"
    & unpack4("1","2","2","1","1","1","2","1","2") = "2"
    & unpack4("1","2","2","1","1","1","2","2","1") = "1"
    & unpack4("1","2","2","1","1","1","2","2","2") = "1"
    & unpack4("1","2","2","1","1","2","1","1","1") = "1"
    & unpack4("1","2","2","1","1","2","1","1","2") = "1"
    & unpack4("1","2","2","1","1","2","1","2","1") = "1"
    & unpack4("1","2","2","1","1","2","1","2","2") = "1"
    & unpack4("1","2","2","1","1","2","2","1","1") = "1"
    & unpack4("1","2","2","1","1","2","2","1","2") = "1"
    & unpack4("1","2","2","1","1","2","2","2","1") = "1"
    & unpack4("1","2","2","1","1","2","2","2","2") = "1"
    & unpack4("1","2","2","1","2","1","1","1","1") = "2"
    & unpack4("1","2","2","1","2","1","1","1","2") = "1"
    & unpack4("1","2","2","1","2","1","1","2","1") = "1"
    & unpack4("1","2","2","1","2","1","1","2","2") = "1"
    & unpack4("1","2","2","1","2","1","2","1","1") = "1"
    & unpack4("1","2","2","1","2","1","2","1","2") = "1"
    & unpack4("1","2","2","1","2","1","2","2","1") = "1"
    & unpack4("1","2","2","1","2","1","2","2","2") = "1"
    & unpack4("1","2","2","1","2","2","1","1","1") = "1"
    & unpack4("1","2","2","1","2","2","1","1","2") = "2"
    & unpack4("1","2","2","1","2","2","1","2","1") = "1"
    & unpack4("1","2","2","1","2","2","1","2","2") = "1"
    & unpack4("1","2","2","1","2","2","2","1","1") = "1"
    & unpack4("1","2","2","1","2","2","2","1","2") = "1"
    & unpack4("1","2","2","1","2","2","2","2","1") = "1"
    & unpack4("1","2","2","1","2","2","2","2","2") = "1"
    & unpack4("1","2","2","2","1","1","1","1","1") = "2"
    & unpack4("1","2","2","2","1","1","1","1","2") = "2"
    & unpack4("1","2","2","2","1","1","1","2","1") = "2"
    & unpack4("1","2","2","2","1","1","1","2","2") = "2"
    & unpack4("1","2","2","2","1","1","2","1","1") = "2"
    & unpack4("1","2","2","2","1","1","2","1","2") = "2"
    & unpack4("1","2","2","2","1","1","2","2","1") = "2"
    & unpack4("1","2","2","2","1","1","2","2","2") = "2"
    & unpack4("1","2","2","2","1","2","1","1","1") = "2"
    & unpack4("1","2","2","2","1","2","1","1","2") = "2"
    & unpack4("1","2","2","2","1","2","1","2","1") = "2"
    & unpack4("1","2","2","2","1","2","1","2","2") = "1"
    & unpack4("1","2","2","2","1","2","2","1","1") = "2"
    & unpack4("1","2","2","2","1","2","2","1","2") = "2"
    & unpack4("1","2","2","2","1","2","2","2","1") = "2"
    & unpack4("1","2","2","2","1","2","2","2","2") = "2"
    & unpack4("1","2","2","2","2","1","1","1","1") = "2"
    & unpack4("1","2","2","2","2","1","1","1","2") = "2"
    & unpack4("1","2","2","2","2","1","1","2","1") = "2"
    & unpack4("1","2","2","2","2","1","1","2","2") = "2"
    & unpack4("1","2","2","2","2","1","2","1","1") = "2"
    & unpack4("1","2","2","2","2","1","2","1","2") = "2"
    & unpack4("1","2","2","2","2","1","2","2","1") = "2"
    & unpack4("1","2","2","2","2","1","2","2","2") = "1"
    & unpack4("1","2","2","2","2","2","1","1","1") = "2"
    & unpack4("1","2","2","2","2","2","1","1","2") = "2"
    & unpack4("1","2","2","2","2","2","1","2","1") = "2"
    & unpack4("1","2","2","2","2","2","1","2","2") = "1"
    & unpack4("1","2","2","2","2","2","2","1","1") = "1"
    & unpack4("1","2","2","2","2","2","2","1","2") = "2"
    & unpack4("1","2","2","2","2","2","2","2","1") = "2"
    & unpack4("1","2","2","2","2","2","2","2","2") = "2"
    & unpack4("2","1","1","1","1","1","1","1","1") = "1"
    & unpack4("2","1","1","1","1","1","1","1","2") = "1"
    & unpack4("2","1","1","1","1","1","1","2","1") = "1"
    & unpack4("2","1","1","1","1","1","1","2","2") = "1"
    & unpack4("2","1","1","1","1","1","2","1","1") = "1"
    & unpack4("2","1","1","1","1","1","2","1","2") = "1"
    & unpack4("2","1","1","1","1","1","2","2","1") = "1"
    & unpack4("2","1","1","1","1","1","2","2","2") = "1"
    & unpack4("2","1","1","1","1","2","1","1","1") = "1"
    & unpack4("2","1","1","1","1","2","1","1","2") = "1"
    & unpack4("2","1","1","1","1","2","1","2","1") = "1"
    & unpack4("2","1","1","1","1","2","1","2","2") = "1"
    & unpack4("2","1","1","1","1","2","2","1","1") = "1"
    & unpack4("2","1","1","1","1","2","2","1","2") = "2"
    & unpack4("2","1","1","1","1","2","2","2","1") = "1"
    & unpack4("2","1","1","1","1","2","2","2","2") = "1"
    & unpack4("2","1","1","1","2","1","1","1","1") = "2"
    & unpack4("2","1","1","1","2","1","1","1","2") = "1"
    & unpack4("2","1","1","1","2","1","1","2","1") = "1"
    & unpack4("2","1","1","1","2","1","1","2","2") = "1"
    & unpack4("2","1","1","1","2","1","2","1","1") = "1"
    & unpack4("2","1","1","1","2","1","2","1","2") = "1"
    & unpack4("2","1","1","1","2","1","2","2","1") = "1"
    & unpack4("2","1","1","1","2","1","2","2","2") = "1"
    & unpack4("2","1","1","1","2","2","1","1","1") = "1"
    & unpack4("2","1","1","1","2","2","1","1","2") = "1"
    & unpack4("2","1","1","1","2","2","1","2","1") = "1"
    & unpack4("2","1","1","1","2","2","1","2","2") = "1"
    & unpack4("2","1","1","1","2","2","2","1","1") = "1"
    & unpack4("2","1","1","1","2","2","2","1","2") = "2"
    & unpack4("2","1","1","1","2","2","2","2","1") = "1"
    & unpack4("2","1","1","1","2","2","2","2","2") = "1"
    & unpack4("2","1","1","2","1","1","1","1","1") = "2"
    & unpack4("2","1","1","2","1","1","1","1","2") = "2"
    & unpack4("2","1","1","2","1","1","1","2","1") = "1"
    & unpack4("2","1","1","2","1","1","1","2","2") = "1"
    & unpack4("2","1","1","2","1","1","2","1","1") = "2"
    & unpack4("2","1","1","2","1","1","2","1","2") = "2"
    & unpack4("2","1","1","2","1","1","2","2","1") = "1"
    & unpack4("2","1","1","2","1","1","2","2","2") = "2"
    & unpack4("2","1","1","2","1","2","1","1","1") = "2"
    & unpack4("2","1","1","2","1","2","1","1","2") = "2"
    & unpack4("2","1","1","2","1","2","1","2","1") = "2"
    & unpack4("2","1","1","2","1","2","1","2","2") = "2"
    & unpack4("2","1","1","2","1","2","2","1","1") = "2"
    & unpack4("2","1","1","2","1","2","2","1","2") = "2"
    & unpack4("2","1","1","2","1","2","2","2","1") = "2"
    & unpack4("2","1","1","2","1","2","2","2","2") = "2"
    & unpack4("2","1","1","2","2","1","1","1","1") = "2"
    & unpack4("2","1","1","2","2","1","1","1","2") = "2"
    & unpack4("2","1","1","2","2","1","1","2","1") = "2"
    & unpack4("2","1","1","2","2","1","1","2","2") = "2"
    & unpack4("2","1","1","2","2","1","2","1","1") = "2"
    & unpack4("2","1","1","2","2","1","2","1","2") = "2"
    & unpack4("2","1","1","2","2","1","2","2","1") = "1"
    & unpack4("2","1","1","2","2","1","2","2","2") = "2"
    & unpack4("2","1","1","2","2","2","1","1","1") = "2"
    & unpack4("2","1","1","2","2","2","1","1","2") = "2"
    & unpack4("2","1","1","2","2","2","1","2","1") = "2"
    & unpack4("2","1","1","2","2","2","1","2","2") = "2"
    & unpack4("2","1","1","2","2","2","2","1","1") = "2"
    & unpack4("2","1","1","2","2","2","2","1","2") = "2"
    & unpack4("2","1","1","2","2","2","2","2","1") = "1"
    & unpack4("2","1","1","2","2","2","2","2","2") = "2"
    & unpack4("2","1","2","1","1","1","1","1","1") = "1"
    & unpack4("2","1","2","1","1","1","1","1","2") = "1"
    & unpack4("2","1","2","1","1","1","1","2","1") = "1"
    & unpack4("2","1","2","1","1","1","1","2","2") = "1"
    & unpack4("2","1","2","1","1","1","2","1","1") = "1"
    & unpack4("2","1","2","1","1","1","2","1","2") = "1"
    & unpack4("2","1","2","1","1","1","2","2","1") = "1"
    & unpack4("2","1","2","1","1","1","2","2","2") = "1"
    & unpack4("2","1","2","1","1","2","1","1","1") = "2"
    & unpack4("2","1","2","1","1","2","1","1","2") = "2"
    & unpack4("2","1","2","1","1","2","1","2","1") = "1"
    & unpack4("2","1","2","1","1","2","1","2","2") = "1"
    & unpack4("2","1","2","1","1","2","2","1","1") = "1"
    & unpack4("2","1","2","1","1","2","2","1","2") = "1"
    & unpack4("2","1","2","1","1","2","2","2","1") = "1"
    & unpack4("2","1","2","1","1","2","2","2","2") = "1"
    & unpack4("2","1","2","1","2","1","1","1","1") = "1"
    & unpack4("2","1","2","1","2","1","1","1","2") = "1"
    & unpack4("2","1","2","1","2","1","1","2","1") = "1"
    & unpack4("2","1","2","1","2","1","1","2","2") = "2"
    & unpack4("2","1","2","1","2","1","2","1","1") = "1"
    & unpack4("2","1","2","1","2","1","2","1","2") = "1"
    & unpack4("2","1","2","1","2","1","2","2","1") = "1"
    & unpack4("2","1","2","1","2","1","2","2","2") = "1"
    & unpack4("2","1","2","1","2","2","1","1","1") = "1"
    & unpack4("2","1","2","1","2","2","1","1","2") = "1"
    & unpack4("2","1","2","1","2","2","1","2","1") = "1"
    & unpack4("2","1","2","1","2","2","1","2","2") = "2"
    & unpack4("2","1","2","1","2","2","2","1","1") = "1"
    & unpack4("2","1","2","1","2","2","2","1","2") = "1"
    & unpack4("2","1","2","1","2","2","2","2","1") = "1"
    & unpack4("2","1","2","1","2","2","2","2","2") = "1"
    & unpack4("2","1","2","2","1","1","1","1","1") = "2"
    & unpack4("2","1","2","2","1","1","1","1","2") = "2"
    & unpack4("2","1","2","2","1","1","1","2","1") = "2"
    & unpack4("2","1","2","2","1","1","1","2","2") = "2"
    & unpack4("2","1","2","2","1","1","2","1","1") = "2"
    & unpack4("2","1","2","2","1","1","2","1","2") = "2"
    & unpack4("2","1","2","2","1","1","2","2","1") = "2"
    & unpack4("2","1","2","2","1","1","2","2","2") = "2"
    & unpack4("2","1","2","2","1","2","1","1","1") = "2"
    & unpack4("2","1","2","2","1","2","1","1","2") = "2"
    & unpack4("2","1","2","2","1","2","1","2","1") = "2"
    & unpack4("2","1","2","2","1","2","1","2","2") = "2"
    & unpack4("2","1","2","2","1","2","2","1","1") = "2"
    & unpack4("2","1","2","2","1","2","2","1","2") = "2"
    & unpack4("2","1","2","2","1","2","2","2","1") = "2"
    & unpack4("2","1","2","2","1","2","2","2","2") = "1"
    & unpack4("2","1","2","2","2","1","1","1","1") = "2"
    & unpack4("2","1","2","2","2","1","1","1","2") = "2"
    & unpack4("2","1","2","2","2","1","1","2","1") = "2"
    & unpack4("2","1","2","2","2","1","1","2","2") = "2"
    & unpack4("2","1","2","2","2","1","2","1","1") = "1"
    & unpack4("2","1","2","2","2","1","2","1","2") = "2"
    & unpack4("2","1","2","2","2","1","2","2","1") = "2"
    & unpack4("2","1","2","2","2","1","2","2","2") = "2"
    & unpack4("2","1","2","2","2","2","1","1","1") = "2"
    & unpack4("2","1","2","2","2","2","1","1","2") = "2"
    & unpack4("2","1","2","2","2","2","1","2","1") = "2"
    & unpack4("2","1","2","2","2","2","1","2","2") = "2"
    & unpack4("2","1","2","2","2","2","2","1","1") = "1"
    & unpack4("2","1","2","2","2","2","2","1","2") = "2"
    & unpack4("2","1","2","2","2","2","2","2","1") = "2"
    & unpack4("2","1","2","2","2","2","2","2","2") = "2"
    & unpack4("2","2","1","1","1","1","1","1","1") = "1"
    & unpack4("2","2","1","1","1","1","1","1","2") = "2"
    & unpack4("2","2","1","1","1","1","1","2","1") = "1"
    & unpack4("2","2","1","1","1","1","1","2","2") = "1"
    & unpack4("2","2","1","1","1","1","2","1","1") = "1"
    & unpack4("2","2","1","1","1","1","2","1","2") = "1"
    & unpack4("2","2","1","1","1","1","2","2","1") = "1"
    & unpack4("2","2","1","1","1","1","2","2","2") = "1"
    & unpack4("2","2","1","1","1","2","1","1","1") = "1"
    & unpack4("2","2","1","1","1","2","1","1","2") = "2"
    & unpack4("2","2","1","1","1","2","1","2","1") = "2"
    & unpack4("2","2","1","1","1","2","1","2","2") = "1"
    & unpack4("2","2","1","1","1","2","2","1","1") = "1"
    & unpack4("2","2","1","1","1","2","2","1","2") = "1"
    & unpack4("2","2","1","1","1","2","2","2","1") = "1"
    & unpack4("2","2","1","1","1","2","2","2","2") = "1"
    & unpack4("2","2","1","1","2","1","1","1","1") = "1"
    & unpack4("2","2","1","1","2","1","1","1","2") = "1"
    & unpack4("2","2","1","1","2","1","1","2","1") = "1"
    & unpack4("2","2","1","1","2","1","1","2","2") = "1"
    & unpack4("2","2","1","1","2","1","2","1","1") = "1"
    & unpack4("2","2","1","1","2","1","2","1","2") = "1"
    & unpack4("2","2","1","1","2","1","2","2","1") = "1"
    & unpack4("2","2","1","1","2","1","2","2","2") = "1"
    & unpack4("2","2","1","1","2","2","1","1","1") = "2"
    & unpack4("2","2","1","1","2","2","1","1","2") = "2"
    & unpack4("2","2","1","1","2","2","1","2","1") = "1"
    & unpack4("2","2","1","1","2","2","1","2","2") = "2"
    & unpack4("2","2","1","1","2","2","2","1","1") = "2"
    & unpack4("2","2","1","1","2","2","2","1","2") = "1"
    & unpack4("2","2","1","1","2","2","2","2","1") = "1"
    & unpack4("2","2","1","1","2","2","2","2","2") = "2"
    & unpack4("2","2","1","2","1","1","1","1","1") = "2"
    & unpack4("2","2","1","2","1","1","1","1","2") = "2"
    & unpack4("2","2","1","2","1","1","1","2","1") = "2"
    & unpack4("2","2","1","2","1","1","1","2","2") = "2"
    & unpack4("2","2","1","2","1","1","2","1","1") = "2"
    & unpack4("2","2","1","2","1","1","2","1","2") = "2"
    & unpack4("2","2","1","2","1","1","2","2","1") = "1"
    & unpack4("2","2","1","2","1","1","2","2","2") = "2"
    & unpack4("2","2","1","2","1","2","1","1","1") = "2"
    & unpack4("2","2","1","2","1","2","1","1","2") = "2"
    & unpack4("2","2","1","2","1","2","1","2","1") = "1"
    & unpack4("2","2","1","2","1","2","1","2","2") = "2"
    & unpack4("2","2","1","2","1","2","2","1","1") = "2"
    & unpack4("2","2","1","2","1","2","2","1","2") = "2"
    & unpack4("2","2","1","2","1","2","2","2","1") = "2"
    & unpack4("2","2","1","2","1","2","2","2","2") = "2"
    & unpack4("2","2","1","2","2","1","1","1","1") = "2"
    & unpack4("2","2","1","2","2","1","1","1","2") = "2"
    & unpack4("2","2","1","2","2","1","1","2","1") = "2"
    & unpack4("2","2","1","2","2","1","1","2","2") = "2"
    & unpack4("2","2","1","2","2","1","2","1","1") = "2"
    & unpack4("2","2","1","2","2","1","2","1","2") = "1"
    & unpack4("2","2","1","2","2","1","2","2","1") = "2"
    & unpack4("2","2","1","2","2","1","2","2","2") = "2"
    & unpack4("2","2","1","2","2","2","1","1","1") = "2"
    & unpack4("2","2","1","2","2","2","1","1","2") = "2"
    & unpack4("2","2","1","2","2","2","1","2","1") = "2"
    & unpack4("2","2","1","2","2","2","1","2","2") = "2"
    & unpack4("2","2","1","2","2","2","2","1","1") = "2"
    & unpack4("2","2","1","2","2","2","2","1","2") = "2"
    & unpack4("2","2","1","2","2","2","2","2","1") = "2"
    & unpack4("2","2","1","2","2","2","2","2","2") = "2"
    & unpack4("2","2","2","1","1","1","1","1","1") = "1"
    & unpack4("2","2","2","1","1","1","1","1","2") = "1"
    & unpack4("2","2","2","1","1","1","1","2","1") = "1"
    & unpack4("2","2","2","1","1","1","1","2","2") = "1"
    & unpack4("2","2","2","1","1","1","2","1","1") = "1"
    & unpack4("2","2","2","1","1","1","2","1","2") = "1"
    & unpack4("2","2","2","1","1","1","2","2","1") = "1"
    & unpack4("2","2","2","1","1","1","2","2","2") = "1"
    & unpack4("2","2","2","1","1","2","1","1","1") = "1"
    & unpack4("2","2","2","1","1","2","1","1","2") = "1"
    & unpack4("2","2","2","1","1","2","1","2","1") = "1"
    & unpack4("2","2","2","1","1","2","1","2","2") = "1"
    & unpack4("2","2","2","1","1","2","2","1","1") = "1"
    & unpack4("2","2","2","1","1","2","2","1","2") = "1"
    & unpack4("2","2","2","1","1","2","2","2","1") = "2"
    & unpack4("2","2","2","1","1","2","2","2","2") = "1"
    & unpack4("2","2","2","1","2","1","1","1","1") = "1"
    & unpack4("2","2","2","1","2","1","1","1","2") = "2"
    & unpack4("2","2","2","1","2","1","1","2","1") = "1"
    & unpack4("2","2","2","1","2","1","1","2","2") = "2"
    & unpack4("2","2","2","1","2","1","2","1","1") = "1"
    & unpack4("2","2","2","1","2","1","2","1","2") = "1"
    & unpack4("2","2","2","1","2","1","2","2","1") = "1"
    & unpack4("2","2","2","1","2","1","2","2","2") = "1"
    & unpack4("2","2","2","1","2","2","1","1","1") = "1"
    & unpack4("2","2","2","1","2","2","1","1","2") = "1"
    & unpack4("2","2","2","1","2","2","1","2","1") = "1"
    & unpack4("2","2","2","1","2","2","1","2","2") = "1"
    & unpack4("2","2","2","1","2","2","2","1","1") = "1"
    & unpack4("2","2","2","1","2","2","2","1","2") = "2"
    & unpack4("2","2","2","1","2","2","2","2","1") = "1"
    & unpack4("2","2","2","1","2","2","2","2","2") = "1"
    & unpack4("2","2","2","2","1","1","1","1","1") = "1"
    & unpack4("2","2","2","2","1","1","1","1","2") = "2"
    & unpack4("2","2","2","2","1","1","1","2","1") = "2"
    & unpack4("2","2","2","2","1","1","1","2","2") = "2"
    & unpack4("2","2","2","2","1","1","2","1","1") = "2"
    & unpack4("2","2","2","2","1","1","2","1","2") = "2"
    & unpack4("2","2","2","2","1","1","2","2","1") = "2"
    & unpack4("2","2","2","2","1","1","2","2","2") = "2"
    & unpack4("2","2","2","2","1","2","1","1","1") = "2"
    & unpack4("2","2","2","2","1","2","1","1","2") = "2"
    & unpack4("2","2","2","2","1","2","1","2","1") = "2"
    & unpack4("2","2","2","2","1","2","1","2","2") = "2"
    & unpack4("2","2","2","2","1","2","2","1","1") = "2"
    & unpack4("2","2","2","2","1","2","2","1","2") = "2"
    & unpack4("2","2","2","2","1","2","2","2","1") = "2"
    & unpack4("2","2","2","2","1","2","2","2","2") = "2"
    & unpack4("2","2","2","2","2","1","1","1","1") = "2"
    & unpack4("2","2","2","2","2","1","1","1","2") = "2"
    & unpack4("2","2","2","2","2","1","1","2","1") = "2"
    & unpack4("2","2","2","2","2","1","1","2","2") = "2"
    & unpack4("2","2","2","2","2","1","2","1","1") = "2"
    & unpack4("2","2","2","2","2","1","2","1","2") = "2"
    & unpack4("2","2","2","2","2","1","2","2","1") = "2"
    & unpack4("2","2","2","2","2","1","2","2","2") = "2"
    & unpack4("2","2","2","2","2","2","1","1","1") = "2"
    & unpack4("2","2","2","2","2","2","1","1","2") = "2"
    & unpack4("2","2","2","2","2","2","1","2","1") = "1"
    & unpack4("2","2","2","2","2","2","1","2","2") = "2"
    & unpack4("2","2","2","2","2","2","2","1","1") = "2"
    & unpack4("2","2","2","2","2","2","2","1","2") = "2"
    & unpack4("2","2","2","2","2","2","2","2","1") = "2"
    & unpack4("2","2","2","2","2","2","2","2","2") = "2" ) ).

fof(unpack5,fi_functors,
    ( unpack5("1","1","1","1","1","1","1","1","1") = "1"
    & unpack5("1","1","1","1","1","1","1","1","2") = "1"
    & unpack5("1","1","1","1","1","1","1","2","1") = "1"
    & unpack5("1","1","1","1","1","1","1","2","2") = "1"
    & unpack5("1","1","1","1","1","1","2","1","1") = "1"
    & unpack5("1","1","1","1","1","1","2","1","2") = "1"
    & unpack5("1","1","1","1","1","1","2","2","1") = "1"
    & unpack5("1","1","1","1","1","1","2","2","2") = "1"
    & unpack5("1","1","1","1","1","2","1","1","1") = "2"
    & unpack5("1","1","1","1","1","2","1","1","2") = "2"
    & unpack5("1","1","1","1","1","2","1","2","1") = "1"
    & unpack5("1","1","1","1","1","2","1","2","2") = "1"
    & unpack5("1","1","1","1","1","2","2","1","1") = "1"
    & unpack5("1","1","1","1","1","2","2","1","2") = "1"
    & unpack5("1","1","1","1","1","2","2","2","1") = "1"
    & unpack5("1","1","1","1","1","2","2","2","2") = "1"
    & unpack5("1","1","1","1","2","1","1","1","1") = "2"
    & unpack5("1","1","1","1","2","1","1","1","2") = "2"
    & unpack5("1","1","1","1","2","1","1","2","1") = "2"
    & unpack5("1","1","1","1","2","1","1","2","2") = "2"
    & unpack5("1","1","1","1","2","1","2","1","1") = "1"
    & unpack5("1","1","1","1","2","1","2","1","2") = "2"
    & unpack5("1","1","1","1","2","1","2","2","1") = "2"
    & unpack5("1","1","1","1","2","1","2","2","2") = "2"
    & unpack5("1","1","1","1","2","2","1","1","1") = "2"
    & unpack5("1","1","1","1","2","2","1","1","2") = "2"
    & unpack5("1","1","1","1","2","2","1","2","1") = "2"
    & unpack5("1","1","1","1","2","2","1","2","2") = "2"
    & unpack5("1","1","1","1","2","2","2","1","1") = "2"
    & unpack5("1","1","1","1","2","2","2","1","2") = "2"
    & unpack5("1","1","1","1","2","2","2","2","1") = "2"
    & unpack5("1","1","1","1","2","2","2","2","2") = "2"
    & unpack5("1","1","1","2","1","1","1","1","1") = "1"
    & unpack5("1","1","1","2","1","1","1","1","2") = "1"
    & unpack5("1","1","1","2","1","1","1","2","1") = "1"
    & unpack5("1","1","1","2","1","1","1","2","2") = "1"
    & unpack5("1","1","1","2","1","1","2","1","1") = "1"
    & unpack5("1","1","1","2","1","1","2","1","2") = "2"
    & unpack5("1","1","1","2","1","1","2","2","1") = "1"
    & unpack5("1","1","1","2","1","1","2","2","2") = "1"
    & unpack5("1","1","1","2","1","2","1","1","1") = "1"
    & unpack5("1","1","1","2","1","2","1","1","2") = "1"
    & unpack5("1","1","1","2","1","2","1","2","1") = "1"
    & unpack5("1","1","1","2","1","2","1","2","2") = "1"
    & unpack5("1","1","1","2","1","2","2","1","1") = "2"
    & unpack5("1","1","1","2","1","2","2","1","2") = "1"
    & unpack5("1","1","1","2","1","2","2","2","1") = "1"
    & unpack5("1","1","1","2","1","2","2","2","2") = "1"
    & unpack5("1","1","1","2","2","1","1","1","1") = "2"
    & unpack5("1","1","1","2","2","1","1","1","2") = "2"
    & unpack5("1","1","1","2","2","1","1","2","1") = "2"
    & unpack5("1","1","1","2","2","1","1","2","2") = "2"
    & unpack5("1","1","1","2","2","1","2","1","1") = "2"
    & unpack5("1","1","1","2","2","1","2","1","2") = "2"
    & unpack5("1","1","1","2","2","1","2","2","1") = "2"
    & unpack5("1","1","1","2","2","1","2","2","2") = "2"
    & unpack5("1","1","1","2","2","2","1","1","1") = "2"
    & unpack5("1","1","1","2","2","2","1","1","2") = "2"
    & unpack5("1","1","1","2","2","2","1","2","1") = "2"
    & unpack5("1","1","1","2","2","2","1","2","2") = "1"
    & unpack5("1","1","1","2","2","2","2","1","1") = "2"
    & unpack5("1","1","1","2","2","2","2","1","2") = "2"
    & unpack5("1","1","1","2","2","2","2","2","1") = "2"
    & unpack5("1","1","1","2","2","2","2","2","2") = "2"
    & unpack5("1","1","2","1","1","1","1","1","1") = "1"
    & unpack5("1","1","2","1","1","1","1","1","2") = "1"
    & unpack5("1","1","2","1","1","1","1","2","1") = "2"
    & unpack5("1","1","2","1","1","1","1","2","2") = "1"
    & unpack5("1","1","2","1","1","1","2","1","1") = "1"
    & unpack5("1","1","2","1","1","1","2","1","2") = "1"
    & unpack5("1","1","2","1","1","1","2","2","1") = "1"
    & unpack5("1","1","2","1","1","1","2","2","2") = "1"
    & unpack5("1","1","2","1","1","2","1","1","1") = "1"
    & unpack5("1","1","2","1","1","2","1","1","2") = "1"
    & unpack5("1","1","2","1","1","2","1","2","1") = "1"
    & unpack5("1","1","2","1","1","2","1","2","2") = "1"
    & unpack5("1","1","2","1","1","2","2","1","1") = "1"
    & unpack5("1","1","2","1","1","2","2","1","2") = "1"
    & unpack5("1","1","2","1","1","2","2","2","1") = "1"
    & unpack5("1","1","2","1","1","2","2","2","2") = "1"
    & unpack5("1","1","2","1","2","1","1","1","1") = "2"
    & unpack5("1","1","2","1","2","1","1","1","2") = "1"
    & unpack5("1","1","2","1","2","1","1","2","1") = "2"
    & unpack5("1","1","2","1","2","1","1","2","2") = "2"
    & unpack5("1","1","2","1","2","1","2","1","1") = "2"
    & unpack5("1","1","2","1","2","1","2","1","2") = "2"
    & unpack5("1","1","2","1","2","1","2","2","1") = "2"
    & unpack5("1","1","2","1","2","1","2","2","2") = "2"
    & unpack5("1","1","2","1","2","2","1","1","1") = "2"
    & unpack5("1","1","2","1","2","2","1","1","2") = "2"
    & unpack5("1","1","2","1","2","2","1","2","1") = "2"
    & unpack5("1","1","2","1","2","2","1","2","2") = "2"
    & unpack5("1","1","2","1","2","2","2","1","1") = "2"
    & unpack5("1","1","2","1","2","2","2","1","2") = "1"
    & unpack5("1","1","2","1","2","2","2","2","1") = "2"
    & unpack5("1","1","2","1","2","2","2","2","2") = "2"
    & unpack5("1","1","2","2","1","1","1","1","1") = "1"
    & unpack5("1","1","2","2","1","1","1","1","2") = "1"
    & unpack5("1","1","2","2","1","1","1","2","1") = "1"
    & unpack5("1","1","2","2","1","1","1","2","2") = "1"
    & unpack5("1","1","2","2","1","1","2","1","1") = "1"
    & unpack5("1","1","2","2","1","1","2","1","2") = "1"
    & unpack5("1","1","2","2","1","1","2","2","1") = "1"
    & unpack5("1","1","2","2","1","1","2","2","2") = "1"
    & unpack5("1","1","2","2","1","2","1","1","1") = "1"
    & unpack5("1","1","2","2","1","2","1","1","2") = "2"
    & unpack5("1","1","2","2","1","2","1","2","1") = "2"
    & unpack5("1","1","2","2","1","2","1","2","2") = "1"
    & unpack5("1","1","2","2","1","2","2","1","1") = "2"
    & unpack5("1","1","2","2","1","2","2","1","2") = "1"
    & unpack5("1","1","2","2","1","2","2","2","1") = "1"
    & unpack5("1","1","2","2","1","2","2","2","2") = "2"
    & unpack5("1","1","2","2","2","1","1","1","1") = "2"
    & unpack5("1","1","2","2","2","1","1","1","2") = "2"
    & unpack5("1","1","2","2","2","1","1","2","1") = "2"
    & unpack5("1","1","2","2","2","1","1","2","2") = "2"
    & unpack5("1","1","2","2","2","1","2","1","1") = "2"
    & unpack5("1","1","2","2","2","1","2","1","2") = "2"
    & unpack5("1","1","2","2","2","1","2","2","1") = "1"
    & unpack5("1","1","2","2","2","1","2","2","2") = "2"
    & unpack5("1","1","2","2","2","2","1","1","1") = "2"
    & unpack5("1","1","2","2","2","2","1","1","2") = "2"
    & unpack5("1","1","2","2","2","2","1","2","1") = "2"
    & unpack5("1","1","2","2","2","2","1","2","2") = "2"
    & unpack5("1","1","2","2","2","2","2","1","1") = "2"
    & unpack5("1","1","2","2","2","2","2","1","2") = "2"
    & unpack5("1","1","2","2","2","2","2","2","1") = "2"
    & unpack5("1","1","2","2","2","2","2","2","2") = "2"
    & unpack5("1","2","1","1","1","1","1","1","1") = "1"
    & unpack5("1","2","1","1","1","1","1","1","2") = "2"
    & unpack5("1","2","1","1","1","1","1","2","1") = "1"
    & unpack5("1","2","1","1","1","1","1","2","2") = "2"
    & unpack5("1","2","1","1","1","1","2","1","1") = "1"
    & unpack5("1","2","1","1","1","1","2","1","2") = "1"
    & unpack5("1","2","1","1","1","1","2","2","1") = "1"
    & unpack5("1","2","1","1","1","1","2","2","2") = "1"
    & unpack5("1","2","1","1","1","2","1","1","1") = "2"
    & unpack5("1","2","1","1","1","2","1","1","2") = "1"
    & unpack5("1","2","1","1","1","2","1","2","1") = "1"
    & unpack5("1","2","1","1","1","2","1","2","2") = "1"
    & unpack5("1","2","1","1","1","2","2","1","1") = "1"
    & unpack5("1","2","1","1","1","2","2","1","2") = "1"
    & unpack5("1","2","1","1","1","2","2","2","1") = "1"
    & unpack5("1","2","1","1","1","2","2","2","2") = "1"
    & unpack5("1","2","1","1","2","1","1","1","1") = "2"
    & unpack5("1","2","1","1","2","1","1","1","2") = "2"
    & unpack5("1","2","1","1","2","1","1","2","1") = "2"
    & unpack5("1","2","1","1","2","1","1","2","2") = "2"
    & unpack5("1","2","1","1","2","1","2","1","1") = "2"
    & unpack5("1","2","1","1","2","1","2","1","2") = "2"
    & unpack5("1","2","1","1","2","1","2","2","1") = "1"
    & unpack5("1","2","1","1","2","1","2","2","2") = "2"
    & unpack5("1","2","1","1","2","2","1","1","1") = "2"
    & unpack5("1","2","1","1","2","2","1","1","2") = "2"
    & unpack5("1","2","1","1","2","2","1","2","1") = "1"
    & unpack5("1","2","1","1","2","2","1","2","2") = "2"
    & unpack5("1","2","1","1","2","2","2","1","1") = "2"
    & unpack5("1","2","1","1","2","2","2","1","2") = "1"
    & unpack5("1","2","1","1","2","2","2","2","1") = "2"
    & unpack5("1","2","1","1","2","2","2","2","2") = "2"
    & unpack5("1","2","1","2","1","1","1","1","1") = "1"
    & unpack5("1","2","1","2","1","1","1","1","2") = "1"
    & unpack5("1","2","1","2","1","1","1","2","1") = "1"
    & unpack5("1","2","1","2","1","1","1","2","2") = "1"
    & unpack5("1","2","1","2","1","1","2","1","1") = "1"
    & unpack5("1","2","1","2","1","1","2","1","2") = "1"
    & unpack5("1","2","1","2","1","1","2","2","1") = "1"
    & unpack5("1","2","1","2","1","1","2","2","2") = "1"
    & unpack5("1","2","1","2","1","2","1","1","1") = "1"
    & unpack5("1","2","1","2","1","2","1","1","2") = "1"
    & unpack5("1","2","1","2","1","2","1","2","1") = "1"
    & unpack5("1","2","1","2","1","2","1","2","2") = "1"
    & unpack5("1","2","1","2","1","2","2","1","1") = "1"
    & unpack5("1","2","1","2","1","2","2","1","2") = "1"
    & unpack5("1","2","1","2","1","2","2","2","1") = "2"
    & unpack5("1","2","1","2","1","2","2","2","2") = "1"
    & unpack5("1","2","1","2","2","1","1","1","1") = "2"
    & unpack5("1","2","1","2","2","1","1","1","2") = "2"
    & unpack5("1","2","1","2","2","1","1","2","1") = "1"
    & unpack5("1","2","1","2","2","1","1","2","2") = "2"
    & unpack5("1","2","1","2","2","1","2","1","1") = "2"
    & unpack5("1","2","1","2","2","1","2","1","2") = "2"
    & unpack5("1","2","1","2","2","1","2","2","1") = "2"
    & unpack5("1","2","1","2","2","1","2","2","2") = "2"
    & unpack5("1","2","1","2","2","2","1","1","1") = "1"
    & unpack5("1","2","1","2","2","2","1","1","2") = "2"
    & unpack5("1","2","1","2","2","2","1","2","1") = "2"
    & unpack5("1","2","1","2","2","2","1","2","2") = "2"
    & unpack5("1","2","1","2","2","2","2","1","1") = "2"
    & unpack5("1","2","1","2","2","2","2","1","2") = "2"
    & unpack5("1","2","1","2","2","2","2","2","1") = "2"
    & unpack5("1","2","1","2","2","2","2","2","2") = "2"
    & unpack5("1","2","2","1","1","1","1","1","1") = "1"
    & unpack5("1","2","2","1","1","1","1","1","2") = "1"
    & unpack5("1","2","2","1","1","1","1","2","1") = "1"
    & unpack5("1","2","2","1","1","1","1","2","2") = "1"
    & unpack5("1","2","2","1","1","1","2","1","1") = "1"
    & unpack5("1","2","2","1","1","1","2","1","2") = "1"
    & unpack5("1","2","2","1","1","1","2","2","1") = "1"
    & unpack5("1","2","2","1","1","1","2","2","2") = "2"
    & unpack5("1","2","2","1","1","2","1","1","1") = "2"
    & unpack5("1","2","2","1","1","2","1","1","2") = "1"
    & unpack5("1","2","2","1","1","2","1","2","1") = "1"
    & unpack5("1","2","2","1","1","2","1","2","2") = "1"
    & unpack5("1","2","2","1","1","2","2","1","1") = "2"
    & unpack5("1","2","2","1","1","2","2","1","2") = "1"
    & unpack5("1","2","2","1","1","2","2","2","1") = "1"
    & unpack5("1","2","2","1","1","2","2","2","2") = "1"
    & unpack5("1","2","2","1","2","1","1","1","1") = "2"
    & unpack5("1","2","2","1","2","1","1","1","2") = "2"
    & unpack5("1","2","2","1","2","1","1","2","1") = "2"
    & unpack5("1","2","2","1","2","1","1","2","2") = "2"
    & unpack5("1","2","2","1","2","1","2","1","1") = "2"
    & unpack5("1","2","2","1","2","1","2","1","2") = "2"
    & unpack5("1","2","2","1","2","1","2","2","1") = "2"
    & unpack5("1","2","2","1","2","1","2","2","2") = "2"
    & unpack5("1","2","2","1","2","2","1","1","1") = "2"
    & unpack5("1","2","2","1","2","2","1","1","2") = "2"
    & unpack5("1","2","2","1","2","2","1","2","1") = "2"
    & unpack5("1","2","2","1","2","2","1","2","2") = "1"
    & unpack5("1","2","2","1","2","2","2","1","1") = "2"
    & unpack5("1","2","2","1","2","2","2","1","2") = "2"
    & unpack5("1","2","2","1","2","2","2","2","1") = "2"
    & unpack5("1","2","2","1","2","2","2","2","2") = "2"
    & unpack5("1","2","2","2","1","1","1","1","1") = "2"
    & unpack5("1","2","2","2","1","1","1","1","2") = "1"
    & unpack5("1","2","2","2","1","1","1","2","1") = "1"
    & unpack5("1","2","2","2","1","1","1","2","2") = "1"
    & unpack5("1","2","2","2","1","1","2","1","1") = "1"
    & unpack5("1","2","2","2","1","1","2","1","2") = "1"
    & unpack5("1","2","2","2","1","1","2","2","1") = "1"
    & unpack5("1","2","2","2","1","1","2","2","2") = "1"
    & unpack5("1","2","2","2","1","2","1","1","1") = "1"
    & unpack5("1","2","2","2","1","2","1","1","2") = "2"
    & unpack5("1","2","2","2","1","2","1","2","1") = "1"
    & unpack5("1","2","2","2","1","2","1","2","2") = "1"
    & unpack5("1","2","2","2","1","2","2","1","1") = "1"
    & unpack5("1","2","2","2","1","2","2","1","2") = "1"
    & unpack5("1","2","2","2","1","2","2","2","1") = "1"
    & unpack5("1","2","2","2","1","2","2","2","2") = "2"
    & unpack5("1","2","2","2","2","1","1","1","1") = "2"
    & unpack5("1","2","2","2","2","1","1","1","2") = "2"
    & unpack5("1","2","2","2","2","1","1","2","1") = "2"
    & unpack5("1","2","2","2","2","1","1","2","2") = "2"
    & unpack5("1","2","2","2","2","1","2","1","1") = "2"
    & unpack5("1","2","2","2","2","1","2","1","2") = "1"
    & unpack5("1","2","2","2","2","1","2","2","1") = "2"
    & unpack5("1","2","2","2","2","1","2","2","2") = "2"
    & unpack5("1","2","2","2","2","2","1","1","1") = "2"
    & unpack5("1","2","2","2","2","2","1","1","2") = "2"
    & unpack5("1","2","2","2","2","2","1","2","1") = "2"
    & unpack5("1","2","2","2","2","2","1","2","2") = "2"
    & unpack5("1","2","2","2","2","2","2","1","1") = "2"
    & unpack5("1","2","2","2","2","2","2","1","2") = "2"
    & unpack5("1","2","2","2","2","2","2","2","1") = "2"
    & unpack5("1","2","2","2","2","2","2","2","2") = "2"
    & unpack5("2","1","1","1","1","1","1","1","1") = "1"
    & unpack5("2","1","1","1","1","1","1","1","2") = "1"
    & unpack5("2","1","1","1","1","1","1","2","1") = "1"
    & unpack5("2","1","1","1","1","1","1","2","2") = "1"
    & unpack5("2","1","1","1","1","1","2","1","1") = "1"
    & unpack5("2","1","1","1","1","1","2","1","2") = "1"
    & unpack5("2","1","1","1","1","1","2","2","1") = "1"
    & unpack5("2","1","1","1","1","1","2","2","2") = "1"
    & unpack5("2","1","1","1","1","2","1","1","1") = "1"
    & unpack5("2","1","1","1","1","2","1","1","2") = "1"
    & unpack5("2","1","1","1","1","2","1","2","1") = "1"
    & unpack5("2","1","1","1","1","2","1","2","2") = "1"
    & unpack5("2","1","1","1","1","2","2","1","1") = "1"
    & unpack5("2","1","1","1","1","2","2","1","2") = "1"
    & unpack5("2","1","1","1","1","2","2","2","1") = "2"
    & unpack5("2","1","1","1","1","2","2","2","2") = "1"
    & unpack5("2","1","1","1","2","1","1","1","1") = "2"
    & unpack5("2","1","1","1","2","1","1","1","2") = "2"
    & unpack5("2","1","1","1","2","1","1","2","1") = "2"
    & unpack5("2","1","1","1","2","1","1","2","2") = "1"
    & unpack5("2","1","1","1","2","1","2","1","1") = "2"
    & unpack5("2","1","1","1","2","1","2","1","2") = "2"
    & unpack5("2","1","1","1","2","1","2","2","1") = "2"
    & unpack5("2","1","1","1","2","1","2","2","2") = "2"
    & unpack5("2","1","1","1","2","2","1","1","1") = "2"
    & unpack5("2","1","1","1","2","2","1","1","2") = "2"
    & unpack5("2","1","1","1","2","2","1","2","1") = "2"
    & unpack5("2","1","1","1","2","2","1","2","2") = "2"
    & unpack5("2","1","1","1","2","2","2","1","1") = "2"
    & unpack5("2","1","1","1","2","2","2","1","2") = "2"
    & unpack5("2","1","1","1","2","2","2","2","1") = "2"
    & unpack5("2","1","1","1","2","2","2","2","2") = "2"
    & unpack5("2","1","1","2","1","1","1","1","1") = "2"
    & unpack5("2","1","1","2","1","1","1","1","2") = "1"
    & unpack5("2","1","1","2","1","1","1","2","1") = "1"
    & unpack5("2","1","1","2","1","1","1","2","2") = "1"
    & unpack5("2","1","1","2","1","1","2","1","1") = "1"
    & unpack5("2","1","1","2","1","1","2","1","2") = "1"
    & unpack5("2","1","1","2","1","1","2","2","1") = "1"
    & unpack5("2","1","1","2","1","1","2","2","2") = "1"
    & unpack5("2","1","1","2","1","2","1","1","1") = "1"
    & unpack5("2","1","1","2","1","2","1","1","2") = "1"
    & unpack5("2","1","1","2","1","2","1","2","1") = "2"
    & unpack5("2","1","1","2","1","2","1","2","2") = "1"
    & unpack5("2","1","1","2","1","2","2","1","1") = "1"
    & unpack5("2","1","1","2","1","2","2","1","2") = "1"
    & unpack5("2","1","1","2","1","2","2","2","1") = "1"
    & unpack5("2","1","1","2","1","2","2","2","2") = "1"
    & unpack5("2","1","1","2","2","1","1","1","1") = "2"
    & unpack5("2","1","1","2","2","1","1","1","2") = "2"
    & unpack5("2","1","1","2","2","1","1","2","1") = "2"
    & unpack5("2","1","1","2","2","1","1","2","2") = "2"
    & unpack5("2","1","1","2","2","1","2","1","1") = "2"
    & unpack5("2","1","1","2","2","1","2","1","2") = "2"
    & unpack5("2","1","1","2","2","1","2","2","1") = "2"
    & unpack5("2","1","1","2","2","1","2","2","2") = "1"
    & unpack5("2","1","1","2","2","2","1","1","1") = "2"
    & unpack5("2","1","1","2","2","2","1","1","2") = "2"
    & unpack5("2","1","1","2","2","2","1","2","1") = "2"
    & unpack5("2","1","1","2","2","2","1","2","2") = "2"
    & unpack5("2","1","1","2","2","2","2","1","1") = "2"
    & unpack5("2","1","1","2","2","2","2","1","2") = "1"
    & unpack5("2","1","1","2","2","2","2","2","1") = "2"
    & unpack5("2","1","1","2","2","2","2","2","2") = "2"
    & unpack5("2","1","2","1","1","1","1","1","1") = "1"
    & unpack5("2","1","2","1","1","1","1","1","2") = "1"
    & unpack5("2","1","2","1","1","1","1","2","1") = "1"
    & unpack5("2","1","2","1","1","1","1","2","2") = "1"
    & unpack5("2","1","2","1","1","1","2","1","1") = "2"
    & unpack5("2","1","2","1","1","1","2","1","2") = "1"
    & unpack5("2","1","2","1","1","1","2","2","1") = "2"
    & unpack5("2","1","2","1","1","1","2","2","2") = "1"
    & unpack5("2","1","2","1","1","2","1","1","1") = "1"
    & unpack5("2","1","2","1","1","2","1","1","2") = "1"
    & unpack5("2","1","2","1","1","2","1","2","1") = "1"
    & unpack5("2","1","2","1","1","2","1","2","2") = "1"
    & unpack5("2","1","2","1","1","2","2","1","1") = "2"
    & unpack5("2","1","2","1","1","2","2","1","2") = "1"
    & unpack5("2","1","2","1","1","2","2","2","1") = "1"
    & unpack5("2","1","2","1","1","2","2","2","2") = "1"
    & unpack5("2","1","2","1","2","1","1","1","1") = "2"
    & unpack5("2","1","2","1","2","1","1","1","2") = "2"
    & unpack5("2","1","2","1","2","1","1","2","1") = "2"
    & unpack5("2","1","2","1","2","1","1","2","2") = "2"
    & unpack5("2","1","2","1","2","1","2","1","1") = "2"
    & unpack5("2","1","2","1","2","1","2","1","2") = "2"
    & unpack5("2","1","2","1","2","1","2","2","1") = "2"
    & unpack5("2","1","2","1","2","1","2","2","2") = "2"
    & unpack5("2","1","2","1","2","2","1","1","1") = "2"
    & unpack5("2","1","2","1","2","2","1","1","2") = "2"
    & unpack5("2","1","2","1","2","2","1","2","1") = "2"
    & unpack5("2","1","2","1","2","2","1","2","2") = "2"
    & unpack5("2","1","2","1","2","2","2","1","1") = "2"
    & unpack5("2","1","2","1","2","2","2","1","2") = "2"
    & unpack5("2","1","2","1","2","2","2","2","1") = "2"
    & unpack5("2","1","2","1","2","2","2","2","2") = "1"
    & unpack5("2","1","2","2","1","1","1","1","1") = "1"
    & unpack5("2","1","2","2","1","1","1","1","2") = "1"
    & unpack5("2","1","2","2","1","1","1","2","1") = "2"
    & unpack5("2","1","2","2","1","1","1","2","2") = "2"
    & unpack5("2","1","2","2","1","1","2","1","1") = "2"
    & unpack5("2","1","2","2","1","1","2","1","2") = "2"
    & unpack5("2","1","2","2","1","1","2","2","1") = "1"
    & unpack5("2","1","2","2","1","1","2","2","2") = "2"
    & unpack5("2","1","2","2","1","2","1","1","1") = "1"
    & unpack5("2","1","2","2","1","2","1","1","2") = "1"
    & unpack5("2","1","2","2","1","2","1","2","1") = "1"
    & unpack5("2","1","2","2","1","2","1","2","2") = "2"
    & unpack5("2","1","2","2","1","2","2","1","1") = "1"
    & unpack5("2","1","2","2","1","2","2","1","2") = "1"
    & unpack5("2","1","2","2","1","2","2","2","1") = "1"
    & unpack5("2","1","2","2","1","2","2","2","2") = "1"
    & unpack5("2","1","2","2","2","1","1","1","1") = "2"
    & unpack5("2","1","2","2","2","1","1","1","2") = "2"
    & unpack5("2","1","2","2","2","1","1","2","1") = "2"
    & unpack5("2","1","2","2","2","1","1","2","2") = "2"
    & unpack5("2","1","2","2","2","1","2","1","1") = "2"
    & unpack5("2","1","2","2","2","1","2","1","2") = "2"
    & unpack5("2","1","2","2","2","1","2","2","1") = "2"
    & unpack5("2","1","2","2","2","1","2","2","2") = "2"
    & unpack5("2","1","2","2","2","2","1","1","1") = "1"
    & unpack5("2","1","2","2","2","2","1","1","2") = "2"
    & unpack5("2","1","2","2","2","2","1","2","1") = "2"
    & unpack5("2","1","2","2","2","2","1","2","2") = "2"
    & unpack5("2","1","2","2","2","2","2","1","1") = "2"
    & unpack5("2","1","2","2","2","2","2","1","2") = "2"
    & unpack5("2","1","2","2","2","2","2","2","1") = "2"
    & unpack5("2","1","2","2","2","2","2","2","2") = "2"
    & unpack5("2","2","1","1","1","1","1","1","1") = "1"
    & unpack5("2","2","1","1","1","1","1","1","2") = "1"
    & unpack5("2","2","1","1","1","1","1","2","1") = "1"
    & unpack5("2","2","1","1","1","1","1","2","2") = "1"
    & unpack5("2","2","1","1","1","1","2","1","1") = "1"
    & unpack5("2","2","1","1","1","1","2","1","2") = "2"
    & unpack5("2","2","1","1","1","1","2","2","1") = "1"
    & unpack5("2","2","1","1","1","1","2","2","2") = "1"
    & unpack5("2","2","1","1","1","2","1","1","1") = "1"
    & unpack5("2","2","1","1","1","2","1","1","2") = "1"
    & unpack5("2","2","1","1","1","2","1","2","1") = "1"
    & unpack5("2","2","1","1","1","2","1","2","2") = "2"
    & unpack5("2","2","1","1","1","2","2","1","1") = "1"
    & unpack5("2","2","1","1","1","2","2","1","2") = "1"
    & unpack5("2","2","1","1","1","2","2","2","1") = "1"
    & unpack5("2","2","1","1","1","2","2","2","2") = "1"
    & unpack5("2","2","1","1","2","1","1","1","1") = "1"
    & unpack5("2","2","1","1","2","1","1","1","2") = "2"
    & unpack5("2","2","1","1","2","1","1","2","1") = "1"
    & unpack5("2","2","1","1","2","1","1","2","2") = "2"
    & unpack5("2","2","1","1","2","1","2","1","1") = "2"
    & unpack5("2","2","1","1","2","1","2","1","2") = "2"
    & unpack5("2","2","1","1","2","1","2","2","1") = "1"
    & unpack5("2","2","1","1","2","1","2","2","2") = "2"
    & unpack5("2","2","1","1","2","2","1","1","1") = "1"
    & unpack5("2","2","1","1","2","2","1","1","2") = "2"
    & unpack5("2","2","1","1","2","2","1","2","1") = "2"
    & unpack5("2","2","1","1","2","2","1","2","2") = "2"
    & unpack5("2","2","1","1","2","2","2","1","1") = "1"
    & unpack5("2","2","1","1","2","2","2","1","2") = "2"
    & unpack5("2","2","1","1","2","2","2","2","1") = "2"
    & unpack5("2","2","1","1","2","2","2","2","2") = "1"
    & unpack5("2","2","1","2","1","1","1","1","1") = "1"
    & unpack5("2","2","1","2","1","1","1","1","2") = "1"
    & unpack5("2","2","1","2","1","1","1","2","1") = "1"
    & unpack5("2","2","1","2","1","1","1","2","2") = "1"
    & unpack5("2","2","1","2","1","1","2","1","1") = "1"
    & unpack5("2","2","1","2","1","1","2","1","2") = "1"
    & unpack5("2","2","1","2","1","1","2","2","1") = "1"
    & unpack5("2","2","1","2","1","1","2","2","2") = "1"
    & unpack5("2","2","1","2","1","2","1","1","1") = "1"
    & unpack5("2","2","1","2","1","2","1","1","2") = "1"
    & unpack5("2","2","1","2","1","2","1","2","1") = "1"
    & unpack5("2","2","1","2","1","2","1","2","2") = "2"
    & unpack5("2","2","1","2","1","2","2","1","1") = "2"
    & unpack5("2","2","1","2","1","2","2","1","2") = "1"
    & unpack5("2","2","1","2","1","2","2","2","1") = "1"
    & unpack5("2","2","1","2","1","2","2","2","2") = "1"
    & unpack5("2","2","1","2","2","1","1","1","1") = "2"
    & unpack5("2","2","1","2","2","1","1","1","2") = "1"
    & unpack5("2","2","1","2","2","1","1","2","1") = "2"
    & unpack5("2","2","1","2","2","1","1","2","2") = "2"
    & unpack5("2","2","1","2","2","1","2","1","1") = "2"
    & unpack5("2","2","1","2","2","1","2","1","2") = "2"
    & unpack5("2","2","1","2","2","1","2","2","1") = "1"
    & unpack5("2","2","1","2","2","1","2","2","2") = "2"
    & unpack5("2","2","1","2","2","2","1","1","1") = "2"
    & unpack5("2","2","1","2","2","2","1","1","2") = "2"
    & unpack5("2","2","1","2","2","2","1","2","1") = "2"
    & unpack5("2","2","1","2","2","2","1","2","2") = "2"
    & unpack5("2","2","1","2","2","2","2","1","1") = "2"
    & unpack5("2","2","1","2","2","2","2","1","2") = "2"
    & unpack5("2","2","1","2","2","2","2","2","1") = "2"
    & unpack5("2","2","1","2","2","2","2","2","2") = "2"
    & unpack5("2","2","2","1","1","1","1","1","1") = "1"
    & unpack5("2","2","2","1","1","1","1","1","2") = "1"
    & unpack5("2","2","2","1","1","1","1","2","1") = "1"
    & unpack5("2","2","2","1","1","1","1","2","2") = "1"
    & unpack5("2","2","2","1","1","1","2","1","1") = "1"
    & unpack5("2","2","2","1","1","1","2","1","2") = "2"
    & unpack5("2","2","2","1","1","1","2","2","1") = "1"
    & unpack5("2","2","2","1","1","1","2","2","2") = "1"
    & unpack5("2","2","2","1","1","2","1","1","1") = "1"
    & unpack5("2","2","2","1","1","2","1","1","2") = "1"
    & unpack5("2","2","2","1","1","2","1","2","1") = "2"
    & unpack5("2","2","2","1","1","2","1","2","2") = "1"
    & unpack5("2","2","2","1","1","2","2","1","1") = "1"
    & unpack5("2","2","2","1","1","2","2","1","2") = "1"
    & unpack5("2","2","2","1","1","2","2","2","1") = "1"
    & unpack5("2","2","2","1","1","2","2","2","2") = "1"
    & unpack5("2","2","2","1","2","1","1","1","1") = "1"
    & unpack5("2","2","2","1","2","1","1","1","2") = "2"
    & unpack5("2","2","2","1","2","1","1","2","1") = "2"
    & unpack5("2","2","2","1","2","1","1","2","2") = "2"
    & unpack5("2","2","2","1","2","1","2","1","1") = "2"
    & unpack5("2","2","2","1","2","1","2","1","2") = "2"
    & unpack5("2","2","2","1","2","1","2","2","1") = "2"
    & unpack5("2","2","2","1","2","1","2","2","2") = "2"
    & unpack5("2","2","2","1","2","2","1","1","1") = "2"
    & unpack5("2","2","2","1","2","2","1","1","2") = "2"
    & unpack5("2","2","2","1","2","2","1","2","1") = "2"
    & unpack5("2","2","2","1","2","2","1","2","2") = "2"
    & unpack5("2","2","2","1","2","2","2","1","1") = "2"
    & unpack5("2","2","2","1","2","2","2","1","2") = "2"
    & unpack5("2","2","2","1","2","2","2","2","1") = "2"
    & unpack5("2","2","2","1","2","2","2","2","2") = "1"
    & unpack5("2","2","2","2","1","1","1","1","1") = "1"
    & unpack5("2","2","2","2","1","1","1","1","2") = "1"
    & unpack5("2","2","2","2","1","1","1","2","1") = "2"
    & unpack5("2","2","2","2","1","1","1","2","2") = "2"
    & unpack5("2","2","2","2","1","1","2","1","1") = "1"
    & unpack5("2","2","2","2","1","1","2","1","2") = "1"
    & unpack5("2","2","2","2","1","1","2","2","1") = "1"
    & unpack5("2","2","2","2","1","1","2","2","2") = "2"
    & unpack5("2","2","2","2","1","2","1","1","1") = "1"
    & unpack5("2","2","2","2","1","2","1","1","2") = "2"
    & unpack5("2","2","2","2","1","2","1","2","1") = "1"
    & unpack5("2","2","2","2","1","2","1","2","2") = "1"
    & unpack5("2","2","2","2","1","2","2","1","1") = "1"
    & unpack5("2","2","2","2","1","2","2","1","2") = "2"
    & unpack5("2","2","2","2","1","2","2","2","1") = "1"
    & unpack5("2","2","2","2","1","2","2","2","2") = "1"
    & unpack5("2","2","2","2","2","1","1","1","1") = "2"
    & unpack5("2","2","2","2","2","1","1","1","2") = "2"
    & unpack5("2","2","2","2","2","1","1","2","1") = "2"
    & unpack5("2","2","2","2","2","1","1","2","2") = "2"
    & unpack5("2","2","2","2","2","1","2","1","1") = "2"
    & unpack5("2","2","2","2","2","1","2","1","2") = "2"
    & unpack5("2","2","2","2","2","1","2","2","1") = "2"
    & unpack5("2","2","2","2","2","1","2","2","2") = "2"
    & unpack5("2","2","2","2","2","2","1","1","1") = "2"
    & unpack5("2","2","2","2","2","2","1","1","2") = "2"
    & unpack5("2","2","2","2","2","2","1","2","1") = "2"
    & unpack5("2","2","2","2","2","2","1","2","2") = "2"
    & unpack5("2","2","2","2","2","2","2","1","1") = "2"
    & unpack5("2","2","2","2","2","2","2","1","2") = "2"
    & unpack5("2","2","2","2","2","2","2","2","1") = "1"
    & unpack5("2","2","2","2","2","2","2","2","2") = "2" ) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.08/0.14  % Problem  : HWV052-1.005.004 : TPTP v8.1.0. Released v4.1.0.
% 0.08/0.15  % Command  : paradox --no-progress --time %d --tstp --model %s
% 0.16/0.37  % Computer : n027.cluster.edu
% 0.16/0.37  % Model    : x86_64 x86_64
% 0.16/0.37  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.16/0.37  % Memory   : 8042.1875MB
% 0.16/0.37  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.16/0.37  % CPULimit : 300
% 0.16/0.37  % WCLimit  : 600
% 0.16/0.37  % DateTime : Fri Jun 17 08:35:51 EDT 2022
% 0.16/0.37  % CPUTime  : 
% 0.16/0.37  Paradox, version 4.0, 2010-06-29.
% 0.16/0.37  +++ PROBLEM: /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.16/0.37  Reading '/export/starexec/sandbox/benchmark/theBenchmark.p' ... OK
% 0.23/0.40  +++ SOLVING: /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.77/0.94  +++ BEGIN MODEL
% 0.77/0.94  SZS output start FiniteModel for /export/starexec/sandbox/benchmark/theBenchmark.p
% See solution above
% 0.77/0.96  +++ END MODEL
% 0.77/0.96  +++ RESULT: Satisfiable
% 0.77/0.96  SZS status Satisfiable for /export/starexec/sandbox/benchmark/theBenchmark.p
%------------------------------------------------------------------------------