TSTP Solution File: SYO581+1 by Paradox---4.0

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Paradox---4.0
% Problem  : SYO581+1 : TPTP v8.1.0. Released v5.5.0.
% Transfm  : none
% Format   : tptp:short
% Command  : paradox --no-progress --time %d --tstp --model %s

% Computer : n018.cluster.edu
% Model    : x86_64 x86_64
% CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory   : 8042.1875MB
% OS       : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit  : 600s
% DateTime : Thu Jul 21 19:06:13 EDT 2022

% Result   : CounterSatisfiable 55.28s 55.40s
% Output   : FiniteModel 55.28s
% Verified : 
% SZS Type : FiniteModel
%            Domain size           :    4

% Comments : 
%------------------------------------------------------------------------------
% domain size is 4
fof(domain,fi_domain,
    ! [X] :
      ( X = "1"
      | X = "2"
      | X = "3"
      | X = "4" ) ).

fof(b48_buttercup10007,fi_predicates,
    ! [X1] :
      ( b48_buttercup10007(X1)
    <=> $true ) ).

fof(b48_buttercup10013,fi_predicates,
    ( ( b48_buttercup10013("1")
    <=> $false )
    & ( b48_buttercup10013("2")
    <=> $true )
    & ( b48_buttercup10013("3")
    <=> $true )
    & ( b48_buttercup10013("4")
    <=> $false ) ) ).

fof(b48_buttercup10019,fi_predicates,
    ( ( b48_buttercup10019("1")
    <=> $false )
    & ( b48_buttercup10019("2")
    <=> $true )
    & ( b48_buttercup10019("3")
    <=> $false )
    & ( b48_buttercup10019("4")
    <=> $false ) ) ).

fof(b48_buttercup10021,fi_predicates,
    ( ( b48_buttercup10021("1")
    <=> $false )
    & ( b48_buttercup10021("2")
    <=> $true )
    & ( b48_buttercup10021("3")
    <=> $false )
    & ( b48_buttercup10021("4")
    <=> $false ) ) ).

fof(b48_buttercup10022,fi_predicates,
    ( ( b48_buttercup10022("1")
    <=> $false )
    & ( b48_buttercup10022("2")
    <=> $true )
    & ( b48_buttercup10022("3")
    <=> $false )
    & ( b48_buttercup10022("4")
    <=> $false ) ) ).

fof(b48_buttercup10024,fi_predicates,
    ! [X1] :
      ( b48_buttercup10024(X1)
    <=> $true ) ).

fof(b48_buttercup10029,fi_predicates,
    ( ( b48_buttercup10029("1")
    <=> $false )
    & ( b48_buttercup10029("2")
    <=> $true )
    & ( b48_buttercup10029("3")
    <=> $true )
    & ( b48_buttercup10029("4")
    <=> $false ) ) ).

fof(b48_buttercup10031,fi_predicates,
    ( ( b48_buttercup10031("1")
    <=> $false )
    & ( b48_buttercup10031("2")
    <=> $false )
    & ( b48_buttercup10031("3")
    <=> $true )
    & ( b48_buttercup10031("4")
    <=> $false ) ) ).

fof(b48_buttercup10034,fi_predicates,
    ( ( b48_buttercup10034("1")
    <=> $false )
    & ( b48_buttercup10034("2")
    <=> $false )
    & ( b48_buttercup10034("3")
    <=> $true )
    & ( b48_buttercup10034("4")
    <=> $false ) ) ).

fof(b48_buttercup10035,fi_predicates,
    ( ( b48_buttercup10035("1")
    <=> $false )
    & ( b48_buttercup10035("2")
    <=> $true )
    & ( b48_buttercup10035("3")
    <=> $false )
    & ( b48_buttercup10035("4")
    <=> $false ) ) ).

fof(b48_buttercup10043,fi_predicates,
    ( ( b48_buttercup10043("1")
    <=> $true )
    & ( b48_buttercup10043("2")
    <=> $false )
    & ( b48_buttercup10043("3")
    <=> b48_buttercup10043("2") )
    & ( b48_buttercup10043("4")
    <=> b48_buttercup10043("3") ) ) ).

fof(b48_buttercup10045,fi_predicates,
    ( ( b48_buttercup10045("1")
    <=> $true )
    & ( b48_buttercup10045("2")
    <=> $false )
    & ( b48_buttercup10045("3")
    <=> b48_buttercup10045("2") )
    & ( b48_buttercup10045("4")
    <=> b48_buttercup10045("3") ) ) ).

fof(b48_buttercup10046,fi_predicates,
    ( ( b48_buttercup10046("1")
    <=> $false )
    & ( b48_buttercup10046("2")
    <=> $true )
    & ( b48_buttercup10046("3")
    <=> $false )
    & ( b48_buttercup10046("4")
    <=> $false ) ) ).

fof(b48_buttercup10050,fi_predicates,
    ( ( b48_buttercup10050("1")
    <=> $false )
    & ( b48_buttercup10050("2")
    <=> $true )
    & ( b48_buttercup10050("3")
    <=> $false )
    & ( b48_buttercup10050("4")
    <=> $false ) ) ).

fof(b48_buttercup10052,fi_predicates,
    ( ( b48_buttercup10052("1")
    <=> $false )
    & ( b48_buttercup10052("2")
    <=> $true )
    & ( b48_buttercup10052("3")
    <=> $false )
    & ( b48_buttercup10052("4")
    <=> $false ) ) ).

fof(b48_buttercup10054,fi_predicates,
    ( ( b48_buttercup10054("1")
    <=> $false )
    & ( b48_buttercup10054("2")
    <=> $true )
    & ( b48_buttercup10054("3")
    <=> $true )
    & ( b48_buttercup10054("4")
    <=> $false ) ) ).

fof(b48_buttercup10058,fi_predicates,
    ( ( b48_buttercup10058("1")
    <=> $false )
    & ( b48_buttercup10058("2")
    <=> $true )
    & ( b48_buttercup10058("3")
    <=> $false )
    & ( b48_buttercup10058("4")
    <=> $false ) ) ).

fof(b48_buttercup10065,fi_predicates,
    ( ( b48_buttercup10065("1")
    <=> $false )
    & ( b48_buttercup10065("2")
    <=> $true )
    & ( b48_buttercup10065("3")
    <=> $false )
    & ( b48_buttercup10065("4")
    <=> $false ) ) ).

fof(b48_buttercup10068,fi_predicates,
    ( ( b48_buttercup10068("1")
    <=> $false )
    & ( b48_buttercup10068("2")
    <=> $true )
    & ( b48_buttercup10068("3")
    <=> $false )
    & ( b48_buttercup10068("4")
    <=> $false ) ) ).

fof(b48_buttercup10070,fi_predicates,
    ( ( b48_buttercup10070("1")
    <=> $false )
    & ( b48_buttercup10070("2")
    <=> $true )
    & ( b48_buttercup10070("3")
    <=> $false )
    & ( b48_buttercup10070("4")
    <=> $false ) ) ).

fof(b48_buttercup10072,fi_predicates,
    ( ( b48_buttercup10072("1")
    <=> $false )
    & ( b48_buttercup10072("2")
    <=> $true )
    & ( b48_buttercup10072("3")
    <=> $false )
    & ( b48_buttercup10072("4")
    <=> $false ) ) ).

fof(b48_buttercup10075,fi_predicates,
    ( ( b48_buttercup10075("1")
    <=> $false )
    & ( b48_buttercup10075("2")
    <=> $true )
    & ( b48_buttercup10075("3")
    <=> $false )
    & ( b48_buttercup10075("4")
    <=> $false ) ) ).

fof(b48_buttercup10076,fi_predicates,
    ( ( b48_buttercup10076("1")
    <=> $false )
    & ( b48_buttercup10076("2")
    <=> $true )
    & ( b48_buttercup10076("3")
    <=> $false )
    & ( b48_buttercup10076("4")
    <=> $false ) ) ).

fof(b48_buttercup10082,fi_predicates,
    ( ( b48_buttercup10082("1")
    <=> $false )
    & ( b48_buttercup10082("2")
    <=> $true )
    & ( b48_buttercup10082("3")
    <=> $false )
    & ( b48_buttercup10082("4")
    <=> $false ) ) ).

fof(b48_buttercup10085,fi_predicates,
    ( ( b48_buttercup10085("1")
    <=> $false )
    & ( b48_buttercup10085("2")
    <=> $true )
    & ( b48_buttercup10085("3")
    <=> $false )
    & ( b48_buttercup10085("4")
    <=> $false ) ) ).

fof(b48_buttercup10086,fi_predicates,
    ( ( b48_buttercup10086("1")
    <=> $false )
    & ( b48_buttercup10086("2")
    <=> $true )
    & ( b48_buttercup10086("3")
    <=> $false )
    & ( b48_buttercup10086("4")
    <=> $false ) ) ).

fof(b48_buttercup10092,fi_predicates,
    ( ( b48_buttercup10092("1")
    <=> $false )
    & ( b48_buttercup10092("2")
    <=> $true )
    & ( b48_buttercup10092("3")
    <=> $false )
    & ( b48_buttercup10092("4")
    <=> $false ) ) ).

fof(b48_buttercup10098,fi_predicates,
    ! [X1] :
      ( b48_buttercup10098(X1)
    <=> $true ) ).

fof(b48_buttercup10102,fi_predicates,
    ( ( b48_buttercup10102("1")
    <=> $false )
    & ( b48_buttercup10102("2")
    <=> $false )
    & ( b48_buttercup10102("3")
    <=> $true )
    & ( b48_buttercup10102("4")
    <=> $false ) ) ).

fof(b48_buttercup10104,fi_predicates,
    ( ( b48_buttercup10104("1")
    <=> $false )
    & ( b48_buttercup10104("2")
    <=> $false )
    & ( b48_buttercup10104("3")
    <=> $true )
    & ( b48_buttercup10104("4")
    <=> $false ) ) ).

fof(b48_buttercup10107,fi_predicates,
    ( ( b48_buttercup10107("1")
    <=> $false )
    & ( b48_buttercup10107("2")
    <=> $false )
    & ( b48_buttercup10107("3")
    <=> $true )
    & ( b48_buttercup10107("4")
    <=> $false ) ) ).

fof(b48_buttercup10108,fi_predicates,
    ( ( b48_buttercup10108("1")
    <=> $false )
    & ( b48_buttercup10108("2")
    <=> $false )
    & ( b48_buttercup10108("3")
    <=> $true )
    & ( b48_buttercup10108("4")
    <=> $false ) ) ).

fof(b48_buttercup10109,fi_predicates,
    ( ( b48_buttercup10109("1")
    <=> $false )
    & ( b48_buttercup10109("2")
    <=> $false )
    & ( b48_buttercup10109("3")
    <=> $true )
    & ( b48_buttercup10109("4")
    <=> $false ) ) ).

fof(b48_buttercup10110,fi_predicates,
    ( ( b48_buttercup10110("1")
    <=> $false )
    & ( b48_buttercup10110("2")
    <=> $false )
    & ( b48_buttercup10110("3")
    <=> $true )
    & ( b48_buttercup10110("4")
    <=> $false ) ) ).

fof(b48_buttercup10111,fi_predicates,
    ( ( b48_buttercup10111("1")
    <=> $false )
    & ( b48_buttercup10111("2")
    <=> $false )
    & ( b48_buttercup10111("3")
    <=> $true )
    & ( b48_buttercup10111("4")
    <=> $false ) ) ).

fof(b48_buttercup10115,fi_predicates,
    ( ( b48_buttercup10115("1")
    <=> $false )
    & ( b48_buttercup10115("2")
    <=> $true )
    & ( b48_buttercup10115("3")
    <=> $true )
    & ( b48_buttercup10115("4")
    <=> $false ) ) ).

fof(b48_buttercup10119,fi_predicates,
    ( ( b48_buttercup10119("1")
    <=> $false )
    & ( b48_buttercup10119("2")
    <=> $true )
    & ( b48_buttercup10119("3")
    <=> $false )
    & ( b48_buttercup10119("4")
    <=> $false ) ) ).

fof(b48_buttercup10120,fi_predicates,
    ( ( b48_buttercup10120("1")
    <=> $false )
    & ( b48_buttercup10120("2")
    <=> $true )
    & ( b48_buttercup10120("3")
    <=> $false )
    & ( b48_buttercup10120("4")
    <=> $false ) ) ).

fof(b48_buttercup10121,fi_predicates,
    ( ( b48_buttercup10121("1")
    <=> $false )
    & ( b48_buttercup10121("2")
    <=> $true )
    & ( b48_buttercup10121("3")
    <=> $false )
    & ( b48_buttercup10121("4")
    <=> $false ) ) ).

fof(b48_buttercup10130,fi_predicates,
    ( ( b48_buttercup10130("1")
    <=> $false )
    & ( b48_buttercup10130("2")
    <=> $true )
    & ( b48_buttercup10130("3")
    <=> $true )
    & ( b48_buttercup10130("4")
    <=> $false ) ) ).

fof(b48_buttercup10133,fi_predicates,
    ( ( b48_buttercup10133("1")
    <=> $false )
    & ( b48_buttercup10133("2")
    <=> $true )
    & ( b48_buttercup10133("3")
    <=> $false )
    & ( b48_buttercup10133("4")
    <=> $false ) ) ).

fof(b48_buttercup10134,fi_predicates,
    ( ( b48_buttercup10134("1")
    <=> $false )
    & ( b48_buttercup10134("2")
    <=> $true )
    & ( b48_buttercup10134("3")
    <=> $false )
    & ( b48_buttercup10134("4")
    <=> $false ) ) ).

fof(b48_buttercup10143,fi_predicates,
    ( ( b48_buttercup10143("1")
    <=> $false )
    & ( b48_buttercup10143("2")
    <=> $true )
    & ( b48_buttercup10143("3")
    <=> $false )
    & ( b48_buttercup10143("4")
    <=> $false ) ) ).

fof(b48_buttercup10150,fi_predicates,
    ( ( b48_buttercup10150("1")
    <=> $false )
    & ( b48_buttercup10150("2")
    <=> $true )
    & ( b48_buttercup10150("3")
    <=> $true )
    & ( b48_buttercup10150("4")
    <=> $false ) ) ).

fof(b48_buttercup10154,fi_predicates,
    ( ( b48_buttercup10154("1")
    <=> $false )
    & ( b48_buttercup10154("2")
    <=> $true )
    & ( b48_buttercup10154("3")
    <=> $false )
    & ( b48_buttercup10154("4")
    <=> $false ) ) ).

fof(b48_buttercup10156,fi_predicates,
    ( ( b48_buttercup10156("1")
    <=> $false )
    & ( b48_buttercup10156("2")
    <=> $true )
    & ( b48_buttercup10156("3")
    <=> $false )
    & ( b48_buttercup10156("4")
    <=> $false ) ) ).

fof(b48_buttercup10158,fi_predicates,
    ( ( b48_buttercup10158("1")
    <=> $false )
    & ( b48_buttercup10158("2")
    <=> $true )
    & ( b48_buttercup10158("3")
    <=> $false )
    & ( b48_buttercup10158("4")
    <=> $false ) ) ).

fof(b48_buttercup10159,fi_predicates,
    ( ( b48_buttercup10159("1")
    <=> $false )
    & ( b48_buttercup10159("2")
    <=> $true )
    & ( b48_buttercup10159("3")
    <=> $false )
    & ( b48_buttercup10159("4")
    <=> $false ) ) ).

fof(b48_buttercup10160,fi_predicates,
    ( ( b48_buttercup10160("1")
    <=> $false )
    & ( b48_buttercup10160("2")
    <=> $true )
    & ( b48_buttercup10160("3")
    <=> $false )
    & ( b48_buttercup10160("4")
    <=> $false ) ) ).

fof(b48_buttercup10161,fi_predicates,
    ( ( b48_buttercup10161("1")
    <=> $false )
    & ( b48_buttercup10161("2")
    <=> $true )
    & ( b48_buttercup10161("3")
    <=> $true )
    & ( b48_buttercup10161("4")
    <=> $false ) ) ).

fof(b48_buttercup10166,fi_predicates,
    ( ( b48_buttercup10166("1")
    <=> $false )
    & ( b48_buttercup10166("2")
    <=> $true )
    & ( b48_buttercup10166("3")
    <=> $false )
    & ( b48_buttercup10166("4")
    <=> $false ) ) ).

fof(b48_buttercup10167,fi_predicates,
    ( ( b48_buttercup10167("1")
    <=> $false )
    & ( b48_buttercup10167("2")
    <=> $true )
    & ( b48_buttercup10167("3")
    <=> $false )
    & ( b48_buttercup10167("4")
    <=> $false ) ) ).

fof(b48_buttercup10169,fi_predicates,
    ( ( b48_buttercup10169("1")
    <=> $false )
    & ( b48_buttercup10169("2")
    <=> $true )
    & ( b48_buttercup10169("3")
    <=> $false )
    & ( b48_buttercup10169("4")
    <=> $false ) ) ).

fof(b48_buttercup10170,fi_predicates,
    ( ( b48_buttercup10170("1")
    <=> $false )
    & ( b48_buttercup10170("2")
    <=> $true )
    & ( b48_buttercup10170("3")
    <=> $true )
    & ( b48_buttercup10170("4")
    <=> $false ) ) ).

fof(b48_buttercup10173,fi_predicates,
    ( ( b48_buttercup10173("1")
    <=> $false )
    & ( b48_buttercup10173("2")
    <=> $true )
    & ( b48_buttercup10173("3")
    <=> $false )
    & ( b48_buttercup10173("4")
    <=> $false ) ) ).

fof(b48_buttercup10174,fi_predicates,
    ( ( b48_buttercup10174("1")
    <=> $false )
    & ( b48_buttercup10174("2")
    <=> $true )
    & ( b48_buttercup10174("3")
    <=> $false )
    & ( b48_buttercup10174("4")
    <=> $false ) ) ).

fof(b48_buttercup10176,fi_predicates,
    ( ( b48_buttercup10176("1")
    <=> $false )
    & ( b48_buttercup10176("2")
    <=> $true )
    & ( b48_buttercup10176("3")
    <=> $false )
    & ( b48_buttercup10176("4")
    <=> $false ) ) ).

fof(b48_buttercup10179,fi_predicates,
    ( ( b48_buttercup10179("1")
    <=> $false )
    & ( b48_buttercup10179("2")
    <=> $true )
    & ( b48_buttercup10179("3")
    <=> $false )
    & ( b48_buttercup10179("4")
    <=> $false ) ) ).

fof(b48_buttercup10180,fi_predicates,
    ( ( b48_buttercup10180("1")
    <=> $false )
    & ( b48_buttercup10180("2")
    <=> $true )
    & ( b48_buttercup10180("3")
    <=> $false )
    & ( b48_buttercup10180("4")
    <=> $false ) ) ).

fof(b48_buttercup10182,fi_predicates,
    ! [X1] :
      ( b48_buttercup10182(X1)
    <=> $true ) ).

fof(b48_buttercup10186,fi_predicates,
    ( ( b48_buttercup10186("1")
    <=> $false )
    & ( b48_buttercup10186("2")
    <=> $true )
    & ( b48_buttercup10186("3")
    <=> $true )
    & ( b48_buttercup10186("4")
    <=> $false ) ) ).

fof(b48_buttercup10191,fi_predicates,
    ( ( b48_buttercup10191("1")
    <=> $false )
    & ( b48_buttercup10191("2")
    <=> $true )
    & ( b48_buttercup10191("3")
    <=> $false )
    & ( b48_buttercup10191("4")
    <=> $false ) ) ).

fof(b48_buttercup10193,fi_predicates,
    ( ( b48_buttercup10193("1")
    <=> $false )
    & ( b48_buttercup10193("2")
    <=> $false )
    & ( b48_buttercup10193("3")
    <=> $true )
    & ( b48_buttercup10193("4")
    <=> $false ) ) ).

fof(b48_buttercup10195,fi_predicates,
    ( ( b48_buttercup10195("1")
    <=> $false )
    & ( b48_buttercup10195("2")
    <=> $true )
    & ( b48_buttercup10195("3")
    <=> $false )
    & ( b48_buttercup10195("4")
    <=> $false ) ) ).

fof(b48_buttercup10196,fi_predicates,
    ! [X1] :
      ( b48_buttercup10196(X1)
    <=> $true ) ).

fof(b48_buttercup10197,fi_predicates,
    ! [X1] :
      ( b48_buttercup10197(X1)
    <=> $true ) ).

fof(b48_buttercup10198,fi_predicates,
    ! [X1] :
      ( b48_buttercup10198(X1)
    <=> $true ) ).

fof(b48_buttercup10199,fi_predicates,
    ( ( b48_buttercup10199("1")
    <=> $false )
    & ( b48_buttercup10199("2")
    <=> $true )
    & ( b48_buttercup10199("3")
    <=> $false )
    & ( b48_buttercup10199("4")
    <=> $false ) ) ).

fof(b48_buttercup10201,fi_predicates,
    ! [X1] :
      ( b48_buttercup10201(X1)
    <=> $true ) ).

fof(b48_buttercup10208,fi_predicates,
    ( ( b48_buttercup10208("1")
    <=> $false )
    & ( b48_buttercup10208("2")
    <=> $false )
    & ( b48_buttercup10208("3")
    <=> $true )
    & ( b48_buttercup10208("4")
    <=> $false ) ) ).

fof(b48_buttercup10210,fi_predicates,
    ( ( b48_buttercup10210("1")
    <=> $false )
    & ( b48_buttercup10210("2")
    <=> $true )
    & ( b48_buttercup10210("3")
    <=> $false )
    & ( b48_buttercup10210("4")
    <=> $false ) ) ).

fof(b48_buttercup10214,fi_predicates,
    ( ( b48_buttercup10214("1")
    <=> $false )
    & ( b48_buttercup10214("2")
    <=> $false )
    & ( b48_buttercup10214("3")
    <=> $true )
    & ( b48_buttercup10214("4")
    <=> $false ) ) ).

fof(b48_buttercup10217,fi_predicates,
    ( ( b48_buttercup10217("1")
    <=> $false )
    & ( b48_buttercup10217("2")
    <=> $true )
    & ( b48_buttercup10217("3")
    <=> $false )
    & ( b48_buttercup10217("4")
    <=> $false ) ) ).

fof(b48_buttercup10220,fi_predicates,
    ( ( b48_buttercup10220("1")
    <=> $false )
    & ( b48_buttercup10220("2")
    <=> $true )
    & ( b48_buttercup10220("3")
    <=> $false )
    & ( b48_buttercup10220("4")
    <=> $false ) ) ).

fof(b48_buttercup10222,fi_predicates,
    ( ( b48_buttercup10222("1")
    <=> $true )
    & ( b48_buttercup10222("2")
    <=> $false )
    & ( b48_buttercup10222("3")
    <=> $true )
    & ( b48_buttercup10222("4")
    <=> $true ) ) ).

fof(b48_buttercup10227,fi_predicates,
    ( ( b48_buttercup10227("1")
    <=> $false )
    & ( b48_buttercup10227("2")
    <=> $false )
    & ( b48_buttercup10227("3")
    <=> $true )
    & ( b48_buttercup10227("4")
    <=> $false ) ) ).

fof(b48_buttercup10228,fi_predicates,
    ( ( b48_buttercup10228("1")
    <=> $false )
    & ( b48_buttercup10228("2")
    <=> $false )
    & ( b48_buttercup10228("3")
    <=> $true )
    & ( b48_buttercup10228("4")
    <=> $false ) ) ).

fof(b48_buttercup10229,fi_predicates,
    ( ( b48_buttercup10229("1")
    <=> $false )
    & ( b48_buttercup10229("2")
    <=> $false )
    & ( b48_buttercup10229("3")
    <=> $true )
    & ( b48_buttercup10229("4")
    <=> $false ) ) ).

fof(b48_buttercup10231,fi_predicates,
    ( ( b48_buttercup10231("1")
    <=> $false )
    & ( b48_buttercup10231("2")
    <=> $true )
    & ( b48_buttercup10231("3")
    <=> $false )
    & ( b48_buttercup10231("4")
    <=> $false ) ) ).

fof(b48_buttercup10240,fi_predicates,
    ( ( b48_buttercup10240("1")
    <=> $false )
    & ( b48_buttercup10240("2")
    <=> $true )
    & ( b48_buttercup10240("3")
    <=> $false )
    & ( b48_buttercup10240("4")
    <=> $false ) ) ).

fof(b48_buttercup10247,fi_predicates,
    ! [X1] :
      ( b48_buttercup10247(X1)
    <=> $true ) ).

fof(b48_buttercup10248,fi_predicates,
    ( ( b48_buttercup10248("1")
    <=> $false )
    & ( b48_buttercup10248("2")
    <=> $true )
    & ( b48_buttercup10248("3")
    <=> $false )
    & ( b48_buttercup10248("4")
    <=> $false ) ) ).

fof(b48_buttercup10253,fi_predicates,
    ( ( b48_buttercup10253("1")
    <=> $true )
    & ( b48_buttercup10253("2")
    <=> $false )
    & ( b48_buttercup10253("3")
    <=> b48_buttercup10253("2") )
    & ( b48_buttercup10253("4")
    <=> b48_buttercup10253("3") ) ) ).

fof(b48_buttercup10260,fi_predicates,
    ( ( b48_buttercup10260("1")
    <=> $true )
    & ( b48_buttercup10260("2")
    <=> $false )
    & ( b48_buttercup10260("3")
    <=> b48_buttercup10260("2") )
    & ( b48_buttercup10260("4")
    <=> b48_buttercup10260("3") ) ) ).

fof(b48_buttercup10261,fi_predicates,
    ( ( b48_buttercup10261("1")
    <=> $false )
    & ( b48_buttercup10261("2")
    <=> $true )
    & ( b48_buttercup10261("3")
    <=> b48_buttercup10261("2") )
    & ( b48_buttercup10261("4")
    <=> b48_buttercup10261("3") ) ) ).

fof(b48_buttercup10266,fi_predicates,
    ! [X1] :
      ( b48_buttercup10266(X1)
    <=> $true ) ).

fof(b48_buttercup10267,fi_predicates,
    ! [X1] :
      ( b48_buttercup10267(X1)
    <=> $true ) ).

fof(b48_buttercup10268,fi_predicates,
    ! [X1] :
      ( b48_buttercup10268(X1)
    <=> $true ) ).

fof(b48_buttercup10269,fi_predicates,
    ( ( b48_buttercup10269("1")
    <=> $false )
    & ( b48_buttercup10269("2")
    <=> $true )
    & ( b48_buttercup10269("3")
    <=> $false )
    & ( b48_buttercup10269("4")
    <=> $false ) ) ).

fof(b48_buttercup10271,fi_predicates,
    ! [X1] :
      ( b48_buttercup10271(X1)
    <=> $true ) ).

fof(b48_buttercup10272,fi_predicates,
    ! [X1] :
      ( b48_buttercup10272(X1)
    <=> $true ) ).

fof(b48_buttercup10273,fi_predicates,
    ! [X1] :
      ( b48_buttercup10273(X1)
    <=> $true ) ).

fof(b48_buttercup10274,fi_predicates,
    ! [X1] :
      ( b48_buttercup10274(X1)
    <=> $true ) ).

fof(b48_buttercup10275,fi_predicates,
    ! [X1] :
      ( b48_buttercup10275(X1)
    <=> $true ) ).

fof(b48_buttercup10276,fi_predicates,
    ! [X1] :
      ( b48_buttercup10276(X1)
    <=> $true ) ).

fof(b48_buttercup10277,fi_predicates,
    ! [X1] :
      ( b48_buttercup10277(X1)
    <=> $true ) ).

fof(b48_buttercup10278,fi_predicates,
    ! [X1] :
      ( b48_buttercup10278(X1)
    <=> $true ) ).

fof(b48_buttercup10279,fi_predicates,
    ! [X1] :
      ( b48_buttercup10279(X1)
    <=> $true ) ).

fof(b48_buttercup10283,fi_predicates,
    ( ( b48_buttercup10283("1")
    <=> $true )
    & ( b48_buttercup10283("2")
    <=> $false )
    & ( b48_buttercup10283("3")
    <=> b48_buttercup10283("2") )
    & ( b48_buttercup10283("4")
    <=> b48_buttercup10283("3") ) ) ).

fof(b48_buttercup10289,fi_predicates,
    ( ( b48_buttercup10289("1")
    <=> $false )
    & ( b48_buttercup10289("2")
    <=> $true )
    & ( b48_buttercup10289("3")
    <=> $false )
    & ( b48_buttercup10289("4")
    <=> $false ) ) ).

fof(b48_buttercup10290,fi_predicates,
    ( ( b48_buttercup10290("1")
    <=> $true )
    & ( b48_buttercup10290("2")
    <=> $false )
    & ( b48_buttercup10290("3")
    <=> b48_buttercup10290("2") )
    & ( b48_buttercup10290("4")
    <=> b48_buttercup10290("3") ) ) ).

fof(b48_buttercup10291,fi_predicates,
    ( ( b48_buttercup10291("1")
    <=> $false )
    & ( b48_buttercup10291("2")
    <=> $true )
    & ( b48_buttercup10291("3")
    <=> $false )
    & ( b48_buttercup10291("4")
    <=> $false ) ) ).

fof(b48_buttercup10294,fi_predicates,
    ( ( b48_buttercup10294("1")
    <=> $false )
    & ( b48_buttercup10294("2")
    <=> $true )
    & ( b48_buttercup10294("3")
    <=> $false )
    & ( b48_buttercup10294("4")
    <=> $false ) ) ).

fof(b48_buttercup10299,fi_predicates,
    ( ( b48_buttercup10299("1")
    <=> $false )
    & ( b48_buttercup10299("2")
    <=> $true )
    & ( b48_buttercup10299("3")
    <=> $false )
    & ( b48_buttercup10299("4")
    <=> $false ) ) ).

fof(b48_buttercup10300,fi_predicates,
    ( ( b48_buttercup10300("1")
    <=> $false )
    & ( b48_buttercup10300("2")
    <=> $true )
    & ( b48_buttercup10300("3")
    <=> $true )
    & ( b48_buttercup10300("4")
    <=> $false ) ) ).

fof(b48_buttercup10305,fi_predicates,
    ( ( b48_buttercup10305("1")
    <=> $false )
    & ( b48_buttercup10305("2")
    <=> $false )
    & ( b48_buttercup10305("3")
    <=> $true )
    & ( b48_buttercup10305("4")
    <=> $false ) ) ).

fof(b48_buttercup10307,fi_predicates,
    ( ( b48_buttercup10307("1")
    <=> $false )
    & ( b48_buttercup10307("2")
    <=> $true )
    & ( b48_buttercup10307("3")
    <=> $false )
    & ( b48_buttercup10307("4")
    <=> $false ) ) ).

fof(b48_buttercup10308,fi_predicates,
    ( ( b48_buttercup10308("1")
    <=> $false )
    & ( b48_buttercup10308("2")
    <=> $true )
    & ( b48_buttercup10308("3")
    <=> $false )
    & ( b48_buttercup10308("4")
    <=> $false ) ) ).

fof(b48_buttercup10309,fi_predicates,
    ( ( b48_buttercup10309("1")
    <=> $false )
    & ( b48_buttercup10309("2")
    <=> $true )
    & ( b48_buttercup10309("3")
    <=> $false )
    & ( b48_buttercup10309("4")
    <=> $false ) ) ).

fof(b48_buttercup10313,fi_predicates,
    ( ( b48_buttercup10313("1")
    <=> $false )
    & ( b48_buttercup10313("2")
    <=> $true )
    & ( b48_buttercup10313("3")
    <=> $true )
    & ( b48_buttercup10313("4")
    <=> $false ) ) ).

fof(b48_buttercup10318,fi_predicates,
    ( ( b48_buttercup10318("1")
    <=> $false )
    & ( b48_buttercup10318("2")
    <=> $true )
    & ( b48_buttercup10318("3")
    <=> $false )
    & ( b48_buttercup10318("4")
    <=> $false ) ) ).

fof(b48_buttercup10320,fi_predicates,
    ( ( b48_buttercup10320("1")
    <=> $false )
    & ( b48_buttercup10320("2")
    <=> $true )
    & ( b48_buttercup10320("3")
    <=> $false )
    & ( b48_buttercup10320("4")
    <=> $false ) ) ).

fof(b48_buttercup10322,fi_predicates,
    ( ( b48_buttercup10322("1")
    <=> $false )
    & ( b48_buttercup10322("2")
    <=> $true )
    & ( b48_buttercup10322("3")
    <=> $false )
    & ( b48_buttercup10322("4")
    <=> $false ) ) ).

fof(b48_buttercup10326,fi_predicates,
    ( ( b48_buttercup10326("1")
    <=> $false )
    & ( b48_buttercup10326("2")
    <=> $true )
    & ( b48_buttercup10326("3")
    <=> $false )
    & ( b48_buttercup10326("4")
    <=> $false ) ) ).

fof(b48_buttercup10332,fi_predicates,
    ( ( b48_buttercup10332("1")
    <=> $false )
    & ( b48_buttercup10332("2")
    <=> $true )
    & ( b48_buttercup10332("3")
    <=> $false )
    & ( b48_buttercup10332("4")
    <=> $false ) ) ).

fof(b48_buttercup10334,fi_predicates,
    ( ( b48_buttercup10334("1")
    <=> $false )
    & ( b48_buttercup10334("2")
    <=> $true )
    & ( b48_buttercup10334("3")
    <=> $false )
    & ( b48_buttercup10334("4")
    <=> $false ) ) ).

fof(b48_buttercup10343,fi_predicates,
    ( ( b48_buttercup10343("1")
    <=> $false )
    & ( b48_buttercup10343("2")
    <=> $true )
    & ( b48_buttercup10343("3")
    <=> $false )
    & ( b48_buttercup10343("4")
    <=> $false ) ) ).

fof(b48_buttercup10344,fi_predicates,
    ( ( b48_buttercup10344("1")
    <=> $false )
    & ( b48_buttercup10344("2")
    <=> $true )
    & ( b48_buttercup10344("3")
    <=> $false )
    & ( b48_buttercup10344("4")
    <=> $false ) ) ).

fof(b48_buttercup10348,fi_predicates,
    ( ( b48_buttercup10348("1")
    <=> $false )
    & ( b48_buttercup10348("2")
    <=> $true )
    & ( b48_buttercup10348("3")
    <=> $false )
    & ( b48_buttercup10348("4")
    <=> $false ) ) ).

fof(b48_buttercup10352,fi_predicates,
    ( ( b48_buttercup10352("1")
    <=> $false )
    & ( b48_buttercup10352("2")
    <=> $true )
    & ( b48_buttercup10352("3")
    <=> $false )
    & ( b48_buttercup10352("4")
    <=> $false ) ) ).

fof(b48_buttercup10353,fi_predicates,
    ( ( b48_buttercup10353("1")
    <=> $false )
    & ( b48_buttercup10353("2")
    <=> $true )
    & ( b48_buttercup10353("3")
    <=> $false )
    & ( b48_buttercup10353("4")
    <=> $false ) ) ).

fof(b48_buttercup10358,fi_predicates,
    ! [X1] :
      ( b48_buttercup10358(X1)
    <=> $true ) ).

fof(b48_buttercup10359,fi_predicates,
    ( ( b48_buttercup10359("1")
    <=> $true )
    & ( b48_buttercup10359("2")
    <=> $false )
    & ( b48_buttercup10359("3")
    <=> b48_buttercup10359("2") )
    & ( b48_buttercup10359("4")
    <=> b48_buttercup10359("3") ) ) ).

fof(b48_buttercup10361,fi_predicates,
    ( ( b48_buttercup10361("1")
    <=> $true )
    & ( b48_buttercup10361("2")
    <=> $false )
    & ( b48_buttercup10361("3")
    <=> b48_buttercup10361("2") )
    & ( b48_buttercup10361("4")
    <=> b48_buttercup10361("3") ) ) ).

fof(b48_buttercup10362,fi_predicates,
    ( ( b48_buttercup10362("1")
    <=> $false )
    & ( b48_buttercup10362("2")
    <=> $true )
    & ( b48_buttercup10362("3")
    <=> $false )
    & ( b48_buttercup10362("4")
    <=> $false ) ) ).

fof(b48_buttercup10365,fi_predicates,
    ! [X1] :
      ( b48_buttercup10365(X1)
    <=> $true ) ).

fof(b48_buttercup10367,fi_predicates,
    ( ( b48_buttercup10367("1")
    <=> $false )
    & ( b48_buttercup10367("2")
    <=> $true )
    & ( b48_buttercup10367("3")
    <=> $false )
    & ( b48_buttercup10367("4")
    <=> $false ) ) ).

fof(b48_buttercup10370,fi_predicates,
    ( ( b48_buttercup10370("1")
    <=> $false )
    & ( b48_buttercup10370("2")
    <=> $true )
    & ( b48_buttercup10370("3")
    <=> $false )
    & ( b48_buttercup10370("4")
    <=> $false ) ) ).

fof(b48_buttercup10374,fi_predicates,
    ( ( b48_buttercup10374("1")
    <=> $false )
    & ( b48_buttercup10374("2")
    <=> $true )
    & ( b48_buttercup10374("3")
    <=> $false )
    & ( b48_buttercup10374("4")
    <=> $false ) ) ).

fof(b48_buttercup10377,fi_predicates,
    ( ( b48_buttercup10377("1")
    <=> $false )
    & ( b48_buttercup10377("2")
    <=> $true )
    & ( b48_buttercup10377("3")
    <=> $false )
    & ( b48_buttercup10377("4")
    <=> $false ) ) ).

fof(b48_buttercup10378,fi_predicates,
    ( ( b48_buttercup10378("1")
    <=> $false )
    & ( b48_buttercup10378("2")
    <=> $true )
    & ( b48_buttercup10378("3")
    <=> $false )
    & ( b48_buttercup10378("4")
    <=> $false ) ) ).

fof(b48_buttercup10381,fi_predicates,
    ( ( b48_buttercup10381("1")
    <=> $false )
    & ( b48_buttercup10381("2")
    <=> $true )
    & ( b48_buttercup10381("3")
    <=> $false )
    & ( b48_buttercup10381("4")
    <=> $false ) ) ).

fof(b48_buttercup10383,fi_predicates,
    ( ( b48_buttercup10383("1")
    <=> $false )
    & ( b48_buttercup10383("2")
    <=> $true )
    & ( b48_buttercup10383("3")
    <=> $false )
    & ( b48_buttercup10383("4")
    <=> $false ) ) ).

fof(b48_buttercup10386,fi_predicates,
    ( ( b48_buttercup10386("1")
    <=> $false )
    & ( b48_buttercup10386("2")
    <=> $true )
    & ( b48_buttercup10386("3")
    <=> $false )
    & ( b48_buttercup10386("4")
    <=> $false ) ) ).

fof(b48_buttercup10394,fi_predicates,
    ( ( b48_buttercup10394("1")
    <=> $false )
    & ( b48_buttercup10394("2")
    <=> $true )
    & ( b48_buttercup10394("3")
    <=> $false )
    & ( b48_buttercup10394("4")
    <=> $false ) ) ).

fof(b48_buttercup10398,fi_predicates,
    ( ( b48_buttercup10398("1")
    <=> $false )
    & ( b48_buttercup10398("2")
    <=> $true )
    & ( b48_buttercup10398("3")
    <=> $false )
    & ( b48_buttercup10398("4")
    <=> $false ) ) ).

fof(b48_buttercup10402,fi_predicates,
    ( ( b48_buttercup10402("1")
    <=> $false )
    & ( b48_buttercup10402("2")
    <=> $true )
    & ( b48_buttercup10402("3")
    <=> $false )
    & ( b48_buttercup10402("4")
    <=> $false ) ) ).

fof(b48_buttercup10405,fi_predicates,
    ( ( b48_buttercup10405("1")
    <=> $false )
    & ( b48_buttercup10405("2")
    <=> $true )
    & ( b48_buttercup10405("3")
    <=> $false )
    & ( b48_buttercup10405("4")
    <=> $false ) ) ).

fof(b48_buttercup10410,fi_predicates,
    ( ( b48_buttercup10410("1")
    <=> $false )
    & ( b48_buttercup10410("2")
    <=> $true )
    & ( b48_buttercup10410("3")
    <=> $false )
    & ( b48_buttercup10410("4")
    <=> $false ) ) ).

fof(b48_buttercup10411,fi_predicates,
    ( ( b48_buttercup10411("1")
    <=> $false )
    & ( b48_buttercup10411("2")
    <=> $true )
    & ( b48_buttercup10411("3")
    <=> $false )
    & ( b48_buttercup10411("4")
    <=> $false ) ) ).

fof(b48_buttercup10417,fi_predicates,
    ( ( b48_buttercup10417("1")
    <=> $true )
    & ( b48_buttercup10417("2")
    <=> $true )
    & ( b48_buttercup10417("3")
    <=> $false )
    & ( b48_buttercup10417("4")
    <=> $true ) ) ).

fof(b48_buttercup10420,fi_predicates,
    ! [X1] :
      ( b48_buttercup10420(X1)
    <=> $true ) ).

fof(b48_buttercup10421,fi_predicates,
    ( ( b48_buttercup10421("1")
    <=> $false )
    & ( b48_buttercup10421("2")
    <=> $true )
    & ( b48_buttercup10421("3")
    <=> $false )
    & ( b48_buttercup10421("4")
    <=> $false ) ) ).

fof(b48_buttercup10422,fi_predicates,
    ( ( b48_buttercup10422("1")
    <=> $false )
    & ( b48_buttercup10422("2")
    <=> $true )
    & ( b48_buttercup10422("3")
    <=> $false )
    & ( b48_buttercup10422("4")
    <=> $false ) ) ).

fof(b48_buttercup10427,fi_predicates,
    ( ( b48_buttercup10427("1")
    <=> $false )
    & ( b48_buttercup10427("2")
    <=> $true )
    & ( b48_buttercup10427("3")
    <=> $false )
    & ( b48_buttercup10427("4")
    <=> $false ) ) ).

fof(b48_buttercup10433,fi_predicates,
    ! [X1] :
      ( b48_buttercup10433(X1)
    <=> $true ) ).

fof(b48_buttercup10434,fi_predicates,
    ( ( b48_buttercup10434("1")
    <=> $false )
    & ( b48_buttercup10434("2")
    <=> $true )
    & ( b48_buttercup10434("3")
    <=> $false )
    & ( b48_buttercup10434("4")
    <=> $false ) ) ).

fof(b48_buttercup10440,fi_predicates,
    ( ( b48_buttercup10440("1")
    <=> $true )
    & ( b48_buttercup10440("2")
    <=> $true )
    & ( b48_buttercup10440("3")
    <=> $false )
    & ( b48_buttercup10440("4")
    <=> $false ) ) ).

fof(b48_buttercup10441,fi_predicates,
    ( ( b48_buttercup10441("1")
    <=> $false )
    & ( b48_buttercup10441("2")
    <=> $true )
    & ( b48_buttercup10441("3")
    <=> $false )
    & ( b48_buttercup10441("4")
    <=> $false ) ) ).

fof(b48_buttercup10442,fi_predicates,
    ( ( b48_buttercup10442("1")
    <=> $true )
    & ( b48_buttercup10442("2")
    <=> $false )
    & ( b48_buttercup10442("3")
    <=> $false )
    & ( b48_buttercup10442("4")
    <=> $false ) ) ).

fof(b48_buttercup10443,fi_predicates,
    ( ( b48_buttercup10443("1")
    <=> $false )
    & ( b48_buttercup10443("2")
    <=> $true )
    & ( b48_buttercup10443("3")
    <=> $false )
    & ( b48_buttercup10443("4")
    <=> $false ) ) ).

fof(b48_buttercup10446,fi_predicates,
    ( ( b48_buttercup10446("1")
    <=> $false )
    & ( b48_buttercup10446("2")
    <=> $true )
    & ( b48_buttercup10446("3")
    <=> $true )
    & ( b48_buttercup10446("4")
    <=> $false ) ) ).

fof(b48_buttercup10450,fi_predicates,
    ! [X1] :
      ( b48_buttercup10450(X1)
    <=> $true ) ).

fof(b48_buttercup10451,fi_predicates,
    ( ( b48_buttercup10451("1")
    <=> $false )
    & ( b48_buttercup10451("2")
    <=> $true )
    & ( b48_buttercup10451("3")
    <=> $false )
    & ( b48_buttercup10451("4")
    <=> $false ) ) ).

fof(b48_buttercup10454,fi_predicates,
    ( ( b48_buttercup10454("1")
    <=> $false )
    & ( b48_buttercup10454("2")
    <=> $true )
    & ( b48_buttercup10454("3")
    <=> $false )
    & ( b48_buttercup10454("4")
    <=> $false ) ) ).

fof(b48_buttercup10456,fi_predicates,
    ( ( b48_buttercup10456("1")
    <=> $false )
    & ( b48_buttercup10456("2")
    <=> $true )
    & ( b48_buttercup10456("3")
    <=> $false )
    & ( b48_buttercup10456("4")
    <=> $false ) ) ).

fof(b48_buttercup10458,fi_predicates,
    ( ( b48_buttercup10458("1")
    <=> $true )
    & ( b48_buttercup10458("2")
    <=> $true )
    & ( b48_buttercup10458("3")
    <=> $false )
    & ( b48_buttercup10458("4")
    <=> $false ) ) ).

fof(b48_buttercup10460,fi_predicates,
    ( ( b48_buttercup10460("1")
    <=> $false )
    & ( b48_buttercup10460("2")
    <=> $true )
    & ( b48_buttercup10460("3")
    <=> $false )
    & ( b48_buttercup10460("4")
    <=> $false ) ) ).

fof(b48_buttercup10465,fi_predicates,
    ( ( b48_buttercup10465("1")
    <=> $false )
    & ( b48_buttercup10465("2")
    <=> $true )
    & ( b48_buttercup10465("3")
    <=> $false )
    & ( b48_buttercup10465("4")
    <=> $false ) ) ).

fof(b48_buttercup10466,fi_predicates,
    ( ( b48_buttercup10466("1")
    <=> $false )
    & ( b48_buttercup10466("2")
    <=> $true )
    & ( b48_buttercup10466("3")
    <=> $false )
    & ( b48_buttercup10466("4")
    <=> $false ) ) ).

fof(b48_buttercup10467,fi_predicates,
    ( ( b48_buttercup10467("1")
    <=> $false )
    & ( b48_buttercup10467("2")
    <=> $true )
    & ( b48_buttercup10467("3")
    <=> $false )
    & ( b48_buttercup10467("4")
    <=> $false ) ) ).

fof(b48_buttercup10469,fi_predicates,
    ( ( b48_buttercup10469("1")
    <=> $false )
    & ( b48_buttercup10469("2")
    <=> $true )
    & ( b48_buttercup10469("3")
    <=> $false )
    & ( b48_buttercup10469("4")
    <=> $false ) ) ).

fof(b48_buttercup10471,fi_predicates,
    ( ( b48_buttercup10471("1")
    <=> $false )
    & ( b48_buttercup10471("2")
    <=> $true )
    & ( b48_buttercup10471("3")
    <=> $false )
    & ( b48_buttercup10471("4")
    <=> $false ) ) ).

fof(b48_buttercup10474,fi_predicates,
    ( ( b48_buttercup10474("1")
    <=> $false )
    & ( b48_buttercup10474("2")
    <=> $true )
    & ( b48_buttercup10474("3")
    <=> $true )
    & ( b48_buttercup10474("4")
    <=> $false ) ) ).

fof(b48_buttercup10478,fi_predicates,
    ( ( b48_buttercup10478("1")
    <=> $false )
    & ( b48_buttercup10478("2")
    <=> $true )
    & ( b48_buttercup10478("3")
    <=> $false )
    & ( b48_buttercup10478("4")
    <=> $false ) ) ).

fof(b48_buttercup10479,fi_predicates,
    ( ( b48_buttercup10479("1")
    <=> $false )
    & ( b48_buttercup10479("2")
    <=> $true )
    & ( b48_buttercup10479("3")
    <=> $false )
    & ( b48_buttercup10479("4")
    <=> $false ) ) ).

fof(b48_buttercup10483,fi_predicates,
    ( ( b48_buttercup10483("1")
    <=> $false )
    & ( b48_buttercup10483("2")
    <=> $true )
    & ( b48_buttercup10483("3")
    <=> $false )
    & ( b48_buttercup10483("4")
    <=> $false ) ) ).

fof(b48_buttercup10487,fi_predicates,
    ( ( b48_buttercup10487("1")
    <=> $false )
    & ( b48_buttercup10487("2")
    <=> $true )
    & ( b48_buttercup10487("3")
    <=> $false )
    & ( b48_buttercup10487("4")
    <=> $false ) ) ).

fof(b48_buttercup10489,fi_predicates,
    ( ( b48_buttercup10489("1")
    <=> $false )
    & ( b48_buttercup10489("2")
    <=> $true )
    & ( b48_buttercup10489("3")
    <=> $false )
    & ( b48_buttercup10489("4")
    <=> $false ) ) ).

fof(b48_buttercup10490,fi_predicates,
    ( ( b48_buttercup10490("1")
    <=> $false )
    & ( b48_buttercup10490("2")
    <=> $true )
    & ( b48_buttercup10490("3")
    <=> $false )
    & ( b48_buttercup10490("4")
    <=> $false ) ) ).

fof(b48_buttercup10493,fi_predicates,
    ( ( b48_buttercup10493("1")
    <=> $false )
    & ( b48_buttercup10493("2")
    <=> $true )
    & ( b48_buttercup10493("3")
    <=> $false )
    & ( b48_buttercup10493("4")
    <=> $false ) ) ).

fof(b48_buttercup10496,fi_predicates,
    ( ( b48_buttercup10496("1")
    <=> $false )
    & ( b48_buttercup10496("2")
    <=> $true )
    & ( b48_buttercup10496("3")
    <=> $false )
    & ( b48_buttercup10496("4")
    <=> $false ) ) ).

fof(b48_buttercup10502,fi_predicates,
    ( ( b48_buttercup10502("1")
    <=> $false )
    & ( b48_buttercup10502("2")
    <=> $true )
    & ( b48_buttercup10502("3")
    <=> $false )
    & ( b48_buttercup10502("4")
    <=> $false ) ) ).

fof(b48_buttercup10507,fi_predicates,
    ( ( b48_buttercup10507("1")
    <=> $false )
    & ( b48_buttercup10507("2")
    <=> $true )
    & ( b48_buttercup10507("3")
    <=> $false )
    & ( b48_buttercup10507("4")
    <=> $false ) ) ).

fof(b48_buttercup10512,fi_predicates,
    ! [X1] :
      ( b48_buttercup10512(X1)
    <=> $true ) ).

fof(b48_buttercup10513,fi_predicates,
    ! [X1] :
      ( b48_buttercup10513(X1)
    <=> $true ) ).

fof(b48_buttercup10514,fi_predicates,
    ! [X1] :
      ( b48_buttercup10514(X1)
    <=> $true ) ).

fof(b48_buttercup10515,fi_predicates,
    ( ( b48_buttercup10515("1")
    <=> $false )
    & ( b48_buttercup10515("2")
    <=> $true )
    & ( b48_buttercup10515("3")
    <=> $false )
    & ( b48_buttercup10515("4")
    <=> $false ) ) ).

fof(b48_buttercup10518,fi_predicates,
    ( ( b48_buttercup10518("1")
    <=> $false )
    & ( b48_buttercup10518("2")
    <=> $true )
    & ( b48_buttercup10518("3")
    <=> $false )
    & ( b48_buttercup10518("4")
    <=> $false ) ) ).

fof(b48_buttercup10519,fi_predicates,
    ( ( b48_buttercup10519("1")
    <=> $false )
    & ( b48_buttercup10519("2")
    <=> $true )
    & ( b48_buttercup10519("3")
    <=> $false )
    & ( b48_buttercup10519("4")
    <=> $false ) ) ).

fof(b48_buttercup10520,fi_predicates,
    ( ( b48_buttercup10520("1")
    <=> $false )
    & ( b48_buttercup10520("2")
    <=> $true )
    & ( b48_buttercup10520("3")
    <=> $false )
    & ( b48_buttercup10520("4")
    <=> $false ) ) ).

fof(b48_buttercup10521,fi_predicates,
    ( ( b48_buttercup10521("1")
    <=> $false )
    & ( b48_buttercup10521("2")
    <=> $true )
    & ( b48_buttercup10521("3")
    <=> $false )
    & ( b48_buttercup10521("4")
    <=> $false ) ) ).

fof(b48_buttercup10522,fi_predicates,
    ! [X1] :
      ( b48_buttercup10522(X1)
    <=> $true ) ).

fof(b48_buttercup10526,fi_predicates,
    ( ( b48_buttercup10526("1")
    <=> $false )
    & ( b48_buttercup10526("2")
    <=> $true )
    & ( b48_buttercup10526("3")
    <=> $false )
    & ( b48_buttercup10526("4")
    <=> $false ) ) ).

fof(b48_buttercup10530,fi_predicates,
    ! [X1] :
      ( b48_buttercup10530(X1)
    <=> $true ) ).

fof(b48_buttercup10531,fi_predicates,
    ( ( b48_buttercup10531("1")
    <=> $false )
    & ( b48_buttercup10531("2")
    <=> $true )
    & ( b48_buttercup10531("3")
    <=> $false )
    & ( b48_buttercup10531("4")
    <=> $false ) ) ).

fof(b48_buttercup10538,fi_predicates,
    ( ( b48_buttercup10538("1")
    <=> $true )
    & ( b48_buttercup10538("2")
    <=> $false )
    & ( b48_buttercup10538("3")
    <=> b48_buttercup10538("2") )
    & ( b48_buttercup10538("4")
    <=> b48_buttercup10538("3") ) ) ).

fof(b48_buttercup10541,fi_predicates,
    ( ( b48_buttercup10541("1")
    <=> $true )
    & ( b48_buttercup10541("2")
    <=> $false )
    & ( b48_buttercup10541("3")
    <=> b48_buttercup10541("2") )
    & ( b48_buttercup10541("4")
    <=> b48_buttercup10541("3") ) ) ).

fof(b48_buttercup10542,fi_predicates,
    ( ( b48_buttercup10542("1")
    <=> $false )
    & ( b48_buttercup10542("2")
    <=> $true )
    & ( b48_buttercup10542("3")
    <=> $false )
    & ( b48_buttercup10542("4")
    <=> $false ) ) ).

fof(b48_buttercup10545,fi_predicates,
    ( ( b48_buttercup10545("1")
    <=> $false )
    & ( b48_buttercup10545("2")
    <=> $true )
    & ( b48_buttercup10545("3")
    <=> $false )
    & ( b48_buttercup10545("4")
    <=> $false ) ) ).

fof(b48_buttercup10548,fi_predicates,
    ( ( b48_buttercup10548("1")
    <=> $false )
    & ( b48_buttercup10548("2")
    <=> $true )
    & ( b48_buttercup10548("3")
    <=> $false )
    & ( b48_buttercup10548("4")
    <=> $false ) ) ).

fof(b48_buttercup10549,fi_predicates,
    ( ( b48_buttercup10549("1")
    <=> $false )
    & ( b48_buttercup10549("2")
    <=> $true )
    & ( b48_buttercup10549("3")
    <=> $false )
    & ( b48_buttercup10549("4")
    <=> $false ) ) ).

fof(b48_buttercup10552,fi_predicates,
    ( ( b48_buttercup10552("1")
    <=> $false )
    & ( b48_buttercup10552("2")
    <=> $true )
    & ( b48_buttercup10552("3")
    <=> $false )
    & ( b48_buttercup10552("4")
    <=> $false ) ) ).

fof(b48_buttercup10561,fi_predicates,
    ( ( b48_buttercup10561("1")
    <=> $false )
    & ( b48_buttercup10561("2")
    <=> $true )
    & ( b48_buttercup10561("3")
    <=> $false )
    & ( b48_buttercup10561("4")
    <=> $false ) ) ).

fof(b48_buttercup10562,fi_predicates,
    ( ( b48_buttercup10562("1")
    <=> $false )
    & ( b48_buttercup10562("2")
    <=> $true )
    & ( b48_buttercup10562("3")
    <=> $false )
    & ( b48_buttercup10562("4")
    <=> $false ) ) ).

fof(b48_buttercup10563,fi_predicates,
    ( ( b48_buttercup10563("1")
    <=> $false )
    & ( b48_buttercup10563("2")
    <=> $true )
    & ( b48_buttercup10563("3")
    <=> $true )
    & ( b48_buttercup10563("4")
    <=> $false ) ) ).

fof(b48_buttercup10570,fi_predicates,
    ( ( b48_buttercup10570("1")
    <=> $false )
    & ( b48_buttercup10570("2")
    <=> $true )
    & ( b48_buttercup10570("3")
    <=> $false )
    & ( b48_buttercup10570("4")
    <=> $false ) ) ).

fof(b48_buttercup10572,fi_predicates,
    ( ( b48_buttercup10572("1")
    <=> $false )
    & ( b48_buttercup10572("2")
    <=> $true )
    & ( b48_buttercup10572("3")
    <=> $false )
    & ( b48_buttercup10572("4")
    <=> $false ) ) ).

fof(b48_buttercup10574,fi_predicates,
    ( ( b48_buttercup10574("1")
    <=> $false )
    & ( b48_buttercup10574("2")
    <=> $true )
    & ( b48_buttercup10574("3")
    <=> $false )
    & ( b48_buttercup10574("4")
    <=> $false ) ) ).

fof(b48_buttercup10575,fi_predicates,
    ( ( b48_buttercup10575("1")
    <=> $false )
    & ( b48_buttercup10575("2")
    <=> $true )
    & ( b48_buttercup10575("3")
    <=> $false )
    & ( b48_buttercup10575("4")
    <=> $false ) ) ).

fof(b48_buttercup10579,fi_predicates,
    ( ( b48_buttercup10579("1")
    <=> $false )
    & ( b48_buttercup10579("2")
    <=> $true )
    & ( b48_buttercup10579("3")
    <=> $false )
    & ( b48_buttercup10579("4")
    <=> $false ) ) ).

fof(b48_buttercup10582,fi_predicates,
    ( ( b48_buttercup10582("1")
    <=> $false )
    & ( b48_buttercup10582("2")
    <=> $true )
    & ( b48_buttercup10582("3")
    <=> $false )
    & ( b48_buttercup10582("4")
    <=> $false ) ) ).

fof(b48_buttercup10589,fi_predicates,
    ( ( b48_buttercup10589("1")
    <=> $false )
    & ( b48_buttercup10589("2")
    <=> $true )
    & ( b48_buttercup10589("3")
    <=> $false )
    & ( b48_buttercup10589("4")
    <=> $false ) ) ).

fof(b48_buttercup10596,fi_predicates,
    ( ( b48_buttercup10596("1")
    <=> $false )
    & ( b48_buttercup10596("2")
    <=> $true )
    & ( b48_buttercup10596("3")
    <=> $false )
    & ( b48_buttercup10596("4")
    <=> $false ) ) ).

fof(b48_buttercup10604,fi_predicates,
    ( ( b48_buttercup10604("1")
    <=> $false )
    & ( b48_buttercup10604("2")
    <=> $true )
    & ( b48_buttercup10604("3")
    <=> $false )
    & ( b48_buttercup10604("4")
    <=> $false ) ) ).

fof(b48_buttercup10605,fi_predicates,
    ( ( b48_buttercup10605("1")
    <=> $false )
    & ( b48_buttercup10605("2")
    <=> $true )
    & ( b48_buttercup10605("3")
    <=> $false )
    & ( b48_buttercup10605("4")
    <=> $false ) ) ).

fof(b48_buttercup10606,fi_predicates,
    ! [X1] :
      ( b48_buttercup10606(X1)
    <=> $true ) ).

fof(b48_buttercup10609,fi_predicates,
    ( ( b48_buttercup10609("1")
    <=> $false )
    & ( b48_buttercup10609("2")
    <=> $true )
    & ( b48_buttercup10609("3")
    <=> $false )
    & ( b48_buttercup10609("4")
    <=> $false ) ) ).

fof(b48_buttercup10612,fi_predicates,
    ! [X1] :
      ( b48_buttercup10612(X1)
    <=> $true ) ).

fof(b48_buttercup10616,fi_predicates,
    ( ( b48_buttercup10616("1")
    <=> $false )
    & ( b48_buttercup10616("2")
    <=> $true )
    & ( b48_buttercup10616("3")
    <=> $false )
    & ( b48_buttercup10616("4")
    <=> $false ) ) ).

fof(b48_buttercup10624,fi_predicates,
    ( ( b48_buttercup10624("1")
    <=> $false )
    & ( b48_buttercup10624("2")
    <=> $true )
    & ( b48_buttercup10624("3")
    <=> $false )
    & ( b48_buttercup10624("4")
    <=> $false ) ) ).

fof(b48_buttercup10629,fi_predicates,
    ( ( b48_buttercup10629("1")
    <=> $false )
    & ( b48_buttercup10629("2")
    <=> $true )
    & ( b48_buttercup10629("3")
    <=> $false )
    & ( b48_buttercup10629("4")
    <=> $false ) ) ).

fof(b48_buttercup10632,fi_predicates,
    ( ( b48_buttercup10632("1")
    <=> $false )
    & ( b48_buttercup10632("2")
    <=> $true )
    & ( b48_buttercup10632("3")
    <=> $false )
    & ( b48_buttercup10632("4")
    <=> $false ) ) ).

fof(b48_buttercup10636,fi_predicates,
    ( ( b48_buttercup10636("1")
    <=> $false )
    & ( b48_buttercup10636("2")
    <=> $true )
    & ( b48_buttercup10636("3")
    <=> $false )
    & ( b48_buttercup10636("4")
    <=> $false ) ) ).

fof(b48_buttercup10638,fi_predicates,
    ( ( b48_buttercup10638("1")
    <=> $false )
    & ( b48_buttercup10638("2")
    <=> $true )
    & ( b48_buttercup10638("3")
    <=> $false )
    & ( b48_buttercup10638("4")
    <=> $false ) ) ).

fof(b48_buttercup10640,fi_predicates,
    ( ( b48_buttercup10640("1")
    <=> $false )
    & ( b48_buttercup10640("2")
    <=> $true )
    & ( b48_buttercup10640("3")
    <=> $false )
    & ( b48_buttercup10640("4")
    <=> $false ) ) ).

fof(b48_buttercup10642,fi_predicates,
    ( ( b48_buttercup10642("1")
    <=> $false )
    & ( b48_buttercup10642("2")
    <=> $true )
    & ( b48_buttercup10642("3")
    <=> $false )
    & ( b48_buttercup10642("4")
    <=> $false ) ) ).

fof(b48_buttercup10646,fi_predicates,
    ! [X1] :
      ( b48_buttercup10646(X1)
    <=> $true ) ).

fof(k04_buttercup10000,fi_predicates,
    ( ( k04_buttercup10000("1")
    <=> $true )
    & ( k04_buttercup10000("2")
    <=> $false )
    & ( k04_buttercup10000("3")
    <=> k04_buttercup10000("2") )
    & ( k04_buttercup10000("4")
    <=> k04_buttercup10000("3") ) ) ).

fof(k04_buttercup10004,fi_predicates,
    ( ( k04_buttercup10004("1")
    <=> $true )
    & ( k04_buttercup10004("2")
    <=> $false )
    & ( k04_buttercup10004("3")
    <=> k04_buttercup10004("2") )
    & ( k04_buttercup10004("4")
    <=> k04_buttercup10004("3") ) ) ).

fof(k04_buttercup10012,fi_predicates,
    ( ( k04_buttercup10012("1")
    <=> $false )
    & ( k04_buttercup10012("2")
    <=> $true )
    & ( k04_buttercup10012("3")
    <=> $true )
    & ( k04_buttercup10012("4")
    <=> $true ) ) ).

fof(k04_buttercup10016,fi_predicates,
    ( ( k04_buttercup10016("1")
    <=> $false )
    & ( k04_buttercup10016("2")
    <=> $true )
    & ( k04_buttercup10016("3")
    <=> $true )
    & ( k04_buttercup10016("4")
    <=> $false ) ) ).

fof(k04_buttercup10026,fi_predicates,
    ( ( k04_buttercup10026("1")
    <=> $false )
    & ( k04_buttercup10026("2")
    <=> $false )
    & ( k04_buttercup10026("3")
    <=> $true )
    & ( k04_buttercup10026("4")
    <=> $false ) ) ).

fof(k04_buttercup10028,fi_predicates,
    ( ( k04_buttercup10028("1")
    <=> $false )
    & ( k04_buttercup10028("2")
    <=> $false )
    & ( k04_buttercup10028("3")
    <=> $true )
    & ( k04_buttercup10028("4")
    <=> $false ) ) ).

fof(k04_buttercup10033,fi_predicates,
    ( ( k04_buttercup10033("1")
    <=> $false )
    & ( k04_buttercup10033("2")
    <=> $false )
    & ( k04_buttercup10033("3")
    <=> $true )
    & ( k04_buttercup10033("4")
    <=> $false ) ) ).

fof(k04_buttercup10039,fi_predicates,
    ( ( k04_buttercup10039("1")
    <=> $false )
    & ( k04_buttercup10039("2")
    <=> $true )
    & ( k04_buttercup10039("3")
    <=> $false )
    & ( k04_buttercup10039("4")
    <=> $false ) ) ).

fof(k04_buttercup10042,fi_predicates,
    ( ( k04_buttercup10042("1")
    <=> $true )
    & ( k04_buttercup10042("2")
    <=> $false )
    & ( k04_buttercup10042("3")
    <=> k04_buttercup10042("2") )
    & ( k04_buttercup10042("4")
    <=> k04_buttercup10042("3") ) ) ).

fof(k04_buttercup10044,fi_predicates,
    ( ( k04_buttercup10044("1")
    <=> $true )
    & ( k04_buttercup10044("2")
    <=> $false )
    & ( k04_buttercup10044("3")
    <=> k04_buttercup10044("2") )
    & ( k04_buttercup10044("4")
    <=> k04_buttercup10044("3") ) ) ).

fof(k04_buttercup10048,fi_predicates,
    ( ( k04_buttercup10048("1")
    <=> $false )
    & ( k04_buttercup10048("2")
    <=> $true )
    & ( k04_buttercup10048("3")
    <=> $false )
    & ( k04_buttercup10048("4")
    <=> $false ) ) ).

fof(k04_buttercup10049,fi_predicates,
    ( ( k04_buttercup10049("1")
    <=> $false )
    & ( k04_buttercup10049("2")
    <=> $true )
    & ( k04_buttercup10049("3")
    <=> $false )
    & ( k04_buttercup10049("4")
    <=> $false ) ) ).

fof(k04_buttercup10051,fi_predicates,
    ( ( k04_buttercup10051("1")
    <=> $false )
    & ( k04_buttercup10051("2")
    <=> $true )
    & ( k04_buttercup10051("3")
    <=> $false )
    & ( k04_buttercup10051("4")
    <=> $false ) ) ).

fof(k04_buttercup10053,fi_predicates,
    ( ( k04_buttercup10053("1")
    <=> $false )
    & ( k04_buttercup10053("2")
    <=> $true )
    & ( k04_buttercup10053("3")
    <=> $true )
    & ( k04_buttercup10053("4")
    <=> $false ) ) ).

fof(k04_buttercup10057,fi_predicates,
    ( ( k04_buttercup10057("1")
    <=> $false )
    & ( k04_buttercup10057("2")
    <=> $true )
    & ( k04_buttercup10057("3")
    <=> $true )
    & ( k04_buttercup10057("4")
    <=> $false ) ) ).

fof(k04_buttercup10061,fi_predicates,
    ( ( k04_buttercup10061("1")
    <=> $false )
    & ( k04_buttercup10061("2")
    <=> $true )
    & ( k04_buttercup10061("3")
    <=> $false )
    & ( k04_buttercup10061("4")
    <=> $false ) ) ).

fof(k04_buttercup10064,fi_predicates,
    ( ( k04_buttercup10064("1")
    <=> $false )
    & ( k04_buttercup10064("2")
    <=> $true )
    & ( k04_buttercup10064("3")
    <=> $true )
    & ( k04_buttercup10064("4")
    <=> $false ) ) ).

fof(k04_buttercup10067,fi_predicates,
    ( ( k04_buttercup10067("1")
    <=> $false )
    & ( k04_buttercup10067("2")
    <=> $true )
    & ( k04_buttercup10067("3")
    <=> $false )
    & ( k04_buttercup10067("4")
    <=> $false ) ) ).

fof(k04_buttercup10074,fi_predicates,
    ( ( k04_buttercup10074("1")
    <=> $false )
    & ( k04_buttercup10074("2")
    <=> $true )
    & ( k04_buttercup10074("3")
    <=> $false )
    & ( k04_buttercup10074("4")
    <=> $false ) ) ).

fof(k04_buttercup10079,fi_predicates,
    ( ( k04_buttercup10079("1")
    <=> $false )
    & ( k04_buttercup10079("2")
    <=> $true )
    & ( k04_buttercup10079("3")
    <=> $false )
    & ( k04_buttercup10079("4")
    <=> $false ) ) ).

fof(k04_buttercup10084,fi_predicates,
    ( ( k04_buttercup10084("1")
    <=> $false )
    & ( k04_buttercup10084("2")
    <=> $true )
    & ( k04_buttercup10084("3")
    <=> $false )
    & ( k04_buttercup10084("4")
    <=> $false ) ) ).

fof(k04_buttercup10089,fi_predicates,
    ( ( k04_buttercup10089("1")
    <=> $false )
    & ( k04_buttercup10089("2")
    <=> $true )
    & ( k04_buttercup10089("3")
    <=> $false )
    & ( k04_buttercup10089("4")
    <=> $false ) ) ).

fof(k04_buttercup10095,fi_predicates,
    ( ( k04_buttercup10095("1")
    <=> $false )
    & ( k04_buttercup10095("2")
    <=> $true )
    & ( k04_buttercup10095("3")
    <=> $true )
    & ( k04_buttercup10095("4")
    <=> $false ) ) ).

fof(k04_buttercup10096,fi_predicates,
    ( ( k04_buttercup10096("1")
    <=> $false )
    & ( k04_buttercup10096("2")
    <=> $true )
    & ( k04_buttercup10096("3")
    <=> $false )
    & ( k04_buttercup10096("4")
    <=> $false ) ) ).

fof(k04_buttercup10097,fi_predicates,
    ( ( k04_buttercup10097("1")
    <=> $false )
    & ( k04_buttercup10097("2")
    <=> $true )
    & ( k04_buttercup10097("3")
    <=> $false )
    & ( k04_buttercup10097("4")
    <=> $false ) ) ).

fof(k04_buttercup10100,fi_predicates,
    ( ( k04_buttercup10100("1")
    <=> $false )
    & ( k04_buttercup10100("2")
    <=> $true )
    & ( k04_buttercup10100("3")
    <=> $true )
    & ( k04_buttercup10100("4")
    <=> $false ) ) ).

fof(k04_buttercup10117,fi_predicates,
    ( ( k04_buttercup10117("1")
    <=> $false )
    & ( k04_buttercup10117("2")
    <=> $true )
    & ( k04_buttercup10117("3")
    <=> $true )
    & ( k04_buttercup10117("4")
    <=> $false ) ) ).

fof(k04_buttercup10125,fi_predicates,
    ( ( k04_buttercup10125("1")
    <=> $false )
    & ( k04_buttercup10125("2")
    <=> $true )
    & ( k04_buttercup10125("3")
    <=> $false )
    & ( k04_buttercup10125("4")
    <=> $false ) ) ).

fof(k04_buttercup10132,fi_predicates,
    ( ( k04_buttercup10132("1")
    <=> $false )
    & ( k04_buttercup10132("2")
    <=> $true )
    & ( k04_buttercup10132("3")
    <=> $true )
    & ( k04_buttercup10132("4")
    <=> $false ) ) ).

fof(k04_buttercup10135,fi_predicates,
    ( ( k04_buttercup10135("1")
    <=> $false )
    & ( k04_buttercup10135("2")
    <=> $true )
    & ( k04_buttercup10135("3")
    <=> $false )
    & ( k04_buttercup10135("4")
    <=> $false ) ) ).

fof(k04_buttercup10139,fi_predicates,
    ( ( k04_buttercup10139("1")
    <=> $false )
    & ( k04_buttercup10139("2")
    <=> $true )
    & ( k04_buttercup10139("3")
    <=> $true )
    & ( k04_buttercup10139("4")
    <=> $false ) ) ).

fof(k04_buttercup10142,fi_predicates,
    ( ( k04_buttercup10142("1")
    <=> $false )
    & ( k04_buttercup10142("2")
    <=> $true )
    & ( k04_buttercup10142("3")
    <=> $false )
    & ( k04_buttercup10142("4")
    <=> $false ) ) ).

fof(k04_buttercup10147,fi_predicates,
    ( ( k04_buttercup10147("1")
    <=> $false )
    & ( k04_buttercup10147("2")
    <=> $true )
    & ( k04_buttercup10147("3")
    <=> $false )
    & ( k04_buttercup10147("4")
    <=> $false ) ) ).

fof(k04_buttercup10153,fi_predicates,
    ( ( k04_buttercup10153("1")
    <=> $false )
    & ( k04_buttercup10153("2")
    <=> $true )
    & ( k04_buttercup10153("3")
    <=> $true )
    & ( k04_buttercup10153("4")
    <=> $false ) ) ).

fof(k04_buttercup10164,fi_predicates,
    ( ( k04_buttercup10164("1")
    <=> $false )
    & ( k04_buttercup10164("2")
    <=> $true )
    & ( k04_buttercup10164("3")
    <=> $true )
    & ( k04_buttercup10164("4")
    <=> $false ) ) ).

fof(k04_buttercup10172,fi_predicates,
    ( ( k04_buttercup10172("1")
    <=> $false )
    & ( k04_buttercup10172("2")
    <=> $true )
    & ( k04_buttercup10172("3")
    <=> $true )
    & ( k04_buttercup10172("4")
    <=> $false ) ) ).

fof(k04_buttercup10181,fi_predicates,
    ( ( k04_buttercup10181("1")
    <=> $false )
    & ( k04_buttercup10181("2")
    <=> $true )
    & ( k04_buttercup10181("3")
    <=> $false )
    & ( k04_buttercup10181("4")
    <=> $false ) ) ).

fof(k04_buttercup10184,fi_predicates,
    ( ( k04_buttercup10184("1")
    <=> $false )
    & ( k04_buttercup10184("2")
    <=> $true )
    & ( k04_buttercup10184("3")
    <=> $false )
    & ( k04_buttercup10184("4")
    <=> $false ) ) ).

fof(k04_buttercup10190,fi_predicates,
    ( ( k04_buttercup10190("1")
    <=> $false )
    & ( k04_buttercup10190("2")
    <=> $true )
    & ( k04_buttercup10190("3")
    <=> $true )
    & ( k04_buttercup10190("4")
    <=> $false ) ) ).

fof(k04_buttercup10200,fi_predicates,
    ( ( k04_buttercup10200("1")
    <=> $false )
    & ( k04_buttercup10200("2")
    <=> $true )
    & ( k04_buttercup10200("3")
    <=> $false )
    & ( k04_buttercup10200("4")
    <=> $false ) ) ).

fof(k04_buttercup10204,fi_predicates,
    ( ( k04_buttercup10204("1")
    <=> $false )
    & ( k04_buttercup10204("2")
    <=> $true )
    & ( k04_buttercup10204("3")
    <=> $true )
    & ( k04_buttercup10204("4")
    <=> $false ) ) ).

fof(k04_buttercup10206,fi_predicates,
    ( ( k04_buttercup10206("1")
    <=> $false )
    & ( k04_buttercup10206("2")
    <=> $true )
    & ( k04_buttercup10206("3")
    <=> $false )
    & ( k04_buttercup10206("4")
    <=> $false ) ) ).

fof(k04_buttercup10213,fi_predicates,
    ( ( k04_buttercup10213("1")
    <=> $false )
    & ( k04_buttercup10213("2")
    <=> $true )
    & ( k04_buttercup10213("3")
    <=> $false )
    & ( k04_buttercup10213("4")
    <=> $false ) ) ).

fof(k04_buttercup10219,fi_predicates,
    ( ( k04_buttercup10219("1")
    <=> $false )
    & ( k04_buttercup10219("2")
    <=> $true )
    & ( k04_buttercup10219("3")
    <=> $false )
    & ( k04_buttercup10219("4")
    <=> $false ) ) ).

fof(k04_buttercup10221,fi_predicates,
    ( ( k04_buttercup10221("1")
    <=> $false )
    & ( k04_buttercup10221("2")
    <=> $false )
    & ( k04_buttercup10221("3")
    <=> $true )
    & ( k04_buttercup10221("4")
    <=> $false ) ) ).

fof(k04_buttercup10225,fi_predicates,
    ( ( k04_buttercup10225("1")
    <=> $false )
    & ( k04_buttercup10225("2")
    <=> $false )
    & ( k04_buttercup10225("3")
    <=> $true )
    & ( k04_buttercup10225("4")
    <=> $true ) ) ).

fof(k04_buttercup10234,fi_predicates,
    ( ( k04_buttercup10234("1")
    <=> $false )
    & ( k04_buttercup10234("2")
    <=> $true )
    & ( k04_buttercup10234("3")
    <=> $false )
    & ( k04_buttercup10234("4")
    <=> $false ) ) ).

fof(k04_buttercup10236,fi_predicates,
    ( ( k04_buttercup10236("1")
    <=> $false )
    & ( k04_buttercup10236("2")
    <=> $true )
    & ( k04_buttercup10236("3")
    <=> $false )
    & ( k04_buttercup10236("4")
    <=> $false ) ) ).

fof(k04_buttercup10238,fi_predicates,
    ( ( k04_buttercup10238("1")
    <=> $false )
    & ( k04_buttercup10238("2")
    <=> $true )
    & ( k04_buttercup10238("3")
    <=> $false )
    & ( k04_buttercup10238("4")
    <=> $false ) ) ).

fof(k04_buttercup10244,fi_predicates,
    ( ( k04_buttercup10244("1")
    <=> $false )
    & ( k04_buttercup10244("2")
    <=> $true )
    & ( k04_buttercup10244("3")
    <=> $false )
    & ( k04_buttercup10244("4")
    <=> $false ) ) ).

fof(k04_buttercup10252,fi_predicates,
    ( ( k04_buttercup10252("1")
    <=> $false )
    & ( k04_buttercup10252("2")
    <=> $true )
    & ( k04_buttercup10252("3")
    <=> $false )
    & ( k04_buttercup10252("4")
    <=> $false ) ) ).

fof(k04_buttercup10255,fi_predicates,
    ( ( k04_buttercup10255("1")
    <=> $true )
    & ( k04_buttercup10255("2")
    <=> $false )
    & ( k04_buttercup10255("3")
    <=> k04_buttercup10255("2") )
    & ( k04_buttercup10255("4")
    <=> k04_buttercup10255("3") ) ) ).

fof(k04_buttercup10259,fi_predicates,
    ! [X1] :
      ( k04_buttercup10259(X1)
    <=> $true ) ).

fof(k04_buttercup10282,fi_predicates,
    ( ( k04_buttercup10282("1")
    <=> $false )
    & ( k04_buttercup10282("2")
    <=> $false )
    & ( k04_buttercup10282("3")
    <=> $true )
    & ( k04_buttercup10282("4")
    <=> $false ) ) ).

fof(k04_buttercup10286,fi_predicates,
    ( ( k04_buttercup10286("1")
    <=> $true )
    & ( k04_buttercup10286("2")
    <=> $false )
    & ( k04_buttercup10286("3")
    <=> k04_buttercup10286("2") )
    & ( k04_buttercup10286("4")
    <=> k04_buttercup10286("3") ) ) ).

fof(k04_buttercup10288,fi_predicates,
    ( ( k04_buttercup10288("1")
    <=> $true )
    & ( k04_buttercup10288("2")
    <=> $false )
    & ( k04_buttercup10288("3")
    <=> k04_buttercup10288("2") )
    & ( k04_buttercup10288("4")
    <=> k04_buttercup10288("3") ) ) ).

fof(k04_buttercup10293,fi_predicates,
    ( ( k04_buttercup10293("1")
    <=> $false )
    & ( k04_buttercup10293("2")
    <=> $true )
    & ( k04_buttercup10293("3")
    <=> $false )
    & ( k04_buttercup10293("4")
    <=> $false ) ) ).

fof(k04_buttercup10296,fi_predicates,
    ( ( k04_buttercup10296("1")
    <=> $false )
    & ( k04_buttercup10296("2")
    <=> $true )
    & ( k04_buttercup10296("3")
    <=> $false )
    & ( k04_buttercup10296("4")
    <=> $false ) ) ).

fof(k04_buttercup10298,fi_predicates,
    ( ( k04_buttercup10298("1")
    <=> $false )
    & ( k04_buttercup10298("2")
    <=> $true )
    & ( k04_buttercup10298("3")
    <=> $false )
    & ( k04_buttercup10298("4")
    <=> $false ) ) ).

fof(k04_buttercup10303,fi_predicates,
    ( ( k04_buttercup10303("1")
    <=> $false )
    & ( k04_buttercup10303("2")
    <=> $true )
    & ( k04_buttercup10303("3")
    <=> $true )
    & ( k04_buttercup10303("4")
    <=> $false ) ) ).

fof(k04_buttercup10312,fi_predicates,
    ( ( k04_buttercup10312("1")
    <=> $false )
    & ( k04_buttercup10312("2")
    <=> $true )
    & ( k04_buttercup10312("3")
    <=> $false )
    & ( k04_buttercup10312("4")
    <=> $false ) ) ).

fof(k04_buttercup10316,fi_predicates,
    ( ( k04_buttercup10316("1")
    <=> $false )
    & ( k04_buttercup10316("2")
    <=> $true )
    & ( k04_buttercup10316("3")
    <=> $true )
    & ( k04_buttercup10316("4")
    <=> $false ) ) ).

fof(k04_buttercup10325,fi_predicates,
    ( ( k04_buttercup10325("1")
    <=> $false )
    & ( k04_buttercup10325("2")
    <=> $true )
    & ( k04_buttercup10325("3")
    <=> $false )
    & ( k04_buttercup10325("4")
    <=> $false ) ) ).

fof(k04_buttercup10329,fi_predicates,
    ( ( k04_buttercup10329("1")
    <=> $false )
    & ( k04_buttercup10329("2")
    <=> $true )
    & ( k04_buttercup10329("3")
    <=> $false )
    & ( k04_buttercup10329("4")
    <=> $false ) ) ).

fof(k04_buttercup10333,fi_predicates,
    ( ( k04_buttercup10333("1")
    <=> $false )
    & ( k04_buttercup10333("2")
    <=> $true )
    & ( k04_buttercup10333("3")
    <=> $false )
    & ( k04_buttercup10333("4")
    <=> $false ) ) ).

fof(k04_buttercup10337,fi_predicates,
    ( ( k04_buttercup10337("1")
    <=> $false )
    & ( k04_buttercup10337("2")
    <=> $true )
    & ( k04_buttercup10337("3")
    <=> $true )
    & ( k04_buttercup10337("4")
    <=> $false ) ) ).

fof(k04_buttercup10342,fi_predicates,
    ( ( k04_buttercup10342("1")
    <=> $false )
    & ( k04_buttercup10342("2")
    <=> $true )
    & ( k04_buttercup10342("3")
    <=> $false )
    & ( k04_buttercup10342("4")
    <=> $false ) ) ).

fof(k04_buttercup10347,fi_predicates,
    ( ( k04_buttercup10347("1")
    <=> $false )
    & ( k04_buttercup10347("2")
    <=> $true )
    & ( k04_buttercup10347("3")
    <=> $true )
    & ( k04_buttercup10347("4")
    <=> $false ) ) ).

fof(k04_buttercup10351,fi_predicates,
    ( ( k04_buttercup10351("1")
    <=> $false )
    & ( k04_buttercup10351("2")
    <=> $true )
    & ( k04_buttercup10351("3")
    <=> $false )
    & ( k04_buttercup10351("4")
    <=> $false ) ) ).

fof(k04_buttercup10356,fi_predicates,
    ( ( k04_buttercup10356("1")
    <=> $false )
    & ( k04_buttercup10356("2")
    <=> $true )
    & ( k04_buttercup10356("3")
    <=> $false )
    & ( k04_buttercup10356("4")
    <=> $false ) ) ).

fof(k04_buttercup10357,fi_predicates,
    ( ( k04_buttercup10357("1")
    <=> $true )
    & ( k04_buttercup10357("2")
    <=> $false )
    & ( k04_buttercup10357("3")
    <=> k04_buttercup10357("2") )
    & ( k04_buttercup10357("4")
    <=> k04_buttercup10357("3") ) ) ).

fof(k04_buttercup10360,fi_predicates,
    ( ( k04_buttercup10360("1")
    <=> $true )
    & ( k04_buttercup10360("2")
    <=> $false )
    & ( k04_buttercup10360("3")
    <=> k04_buttercup10360("2") )
    & ( k04_buttercup10360("4")
    <=> k04_buttercup10360("3") ) ) ).

fof(k04_buttercup10364,fi_predicates,
    ( ( k04_buttercup10364("1")
    <=> $false )
    & ( k04_buttercup10364("2")
    <=> $true )
    & ( k04_buttercup10364("3")
    <=> $true )
    & ( k04_buttercup10364("4")
    <=> $false ) ) ).

fof(k04_buttercup10369,fi_predicates,
    ( ( k04_buttercup10369("1")
    <=> $false )
    & ( k04_buttercup10369("2")
    <=> $true )
    & ( k04_buttercup10369("3")
    <=> $false )
    & ( k04_buttercup10369("4")
    <=> $false ) ) ).

fof(k04_buttercup10371,fi_predicates,
    ( ( k04_buttercup10371("1")
    <=> $false )
    & ( k04_buttercup10371("2")
    <=> $true )
    & ( k04_buttercup10371("3")
    <=> $false )
    & ( k04_buttercup10371("4")
    <=> $false ) ) ).

fof(k04_buttercup10373,fi_predicates,
    ( ( k04_buttercup10373("1")
    <=> $false )
    & ( k04_buttercup10373("2")
    <=> $true )
    & ( k04_buttercup10373("3")
    <=> $false )
    & ( k04_buttercup10373("4")
    <=> $false ) ) ).

fof(k04_buttercup10376,fi_predicates,
    ( ( k04_buttercup10376("1")
    <=> $false )
    & ( k04_buttercup10376("2")
    <=> $true )
    & ( k04_buttercup10376("3")
    <=> $false )
    & ( k04_buttercup10376("4")
    <=> $false ) ) ).

fof(k04_buttercup10380,fi_predicates,
    ( ( k04_buttercup10380("1")
    <=> $false )
    & ( k04_buttercup10380("2")
    <=> $true )
    & ( k04_buttercup10380("3")
    <=> $false )
    & ( k04_buttercup10380("4")
    <=> $false ) ) ).

fof(k04_buttercup10382,fi_predicates,
    ( ( k04_buttercup10382("1")
    <=> $false )
    & ( k04_buttercup10382("2")
    <=> $true )
    & ( k04_buttercup10382("3")
    <=> $false )
    & ( k04_buttercup10382("4")
    <=> $false ) ) ).

fof(k04_buttercup10385,fi_predicates,
    ( ( k04_buttercup10385("1")
    <=> $false )
    & ( k04_buttercup10385("2")
    <=> $true )
    & ( k04_buttercup10385("3")
    <=> $false )
    & ( k04_buttercup10385("4")
    <=> $false ) ) ).

fof(k04_buttercup10389,fi_predicates,
    ( ( k04_buttercup10389("1")
    <=> $false )
    & ( k04_buttercup10389("2")
    <=> $true )
    & ( k04_buttercup10389("3")
    <=> $false )
    & ( k04_buttercup10389("4")
    <=> $false ) ) ).

fof(k04_buttercup10391,fi_predicates,
    ( ( k04_buttercup10391("1")
    <=> $false )
    & ( k04_buttercup10391("2")
    <=> $true )
    & ( k04_buttercup10391("3")
    <=> $false )
    & ( k04_buttercup10391("4")
    <=> $false ) ) ).

fof(k04_buttercup10397,fi_predicates,
    ( ( k04_buttercup10397("1")
    <=> $false )
    & ( k04_buttercup10397("2")
    <=> $true )
    & ( k04_buttercup10397("3")
    <=> $false )
    & ( k04_buttercup10397("4")
    <=> $false ) ) ).

fof(k04_buttercup10400,fi_predicates,
    ( ( k04_buttercup10400("1")
    <=> $false )
    & ( k04_buttercup10400("2")
    <=> $true )
    & ( k04_buttercup10400("3")
    <=> $true )
    & ( k04_buttercup10400("4")
    <=> $false ) ) ).

fof(k04_buttercup10404,fi_predicates,
    ( ( k04_buttercup10404("1")
    <=> $false )
    & ( k04_buttercup10404("2")
    <=> $true )
    & ( k04_buttercup10404("3")
    <=> $false )
    & ( k04_buttercup10404("4")
    <=> $false ) ) ).

fof(k04_buttercup10406,fi_predicates,
    ( ( k04_buttercup10406("1")
    <=> $false )
    & ( k04_buttercup10406("2")
    <=> $true )
    & ( k04_buttercup10406("3")
    <=> $false )
    & ( k04_buttercup10406("4")
    <=> $false ) ) ).

fof(k04_buttercup10408,fi_predicates,
    ( ( k04_buttercup10408("1")
    <=> $false )
    & ( k04_buttercup10408("2")
    <=> $true )
    & ( k04_buttercup10408("3")
    <=> $false )
    & ( k04_buttercup10408("4")
    <=> $false ) ) ).

fof(k04_buttercup10415,fi_predicates,
    ( ( k04_buttercup10415("1")
    <=> $false )
    & ( k04_buttercup10415("2")
    <=> $true )
    & ( k04_buttercup10415("3")
    <=> $false )
    & ( k04_buttercup10415("4")
    <=> $false ) ) ).

fof(k04_buttercup10419,fi_predicates,
    ( ( k04_buttercup10419("1")
    <=> $false )
    & ( k04_buttercup10419("2")
    <=> $true )
    & ( k04_buttercup10419("3")
    <=> $true )
    & ( k04_buttercup10419("4")
    <=> $false ) ) ).

fof(k04_buttercup10424,fi_predicates,
    ( ( k04_buttercup10424("1")
    <=> $false )
    & ( k04_buttercup10424("2")
    <=> $true )
    & ( k04_buttercup10424("3")
    <=> $false )
    & ( k04_buttercup10424("4")
    <=> $false ) ) ).

fof(k04_buttercup10425,fi_predicates,
    ( ( k04_buttercup10425("1")
    <=> $false )
    & ( k04_buttercup10425("2")
    <=> $true )
    & ( k04_buttercup10425("3")
    <=> $false )
    & ( k04_buttercup10425("4")
    <=> $false ) ) ).

fof(k04_buttercup10430,fi_predicates,
    ( ( k04_buttercup10430("1")
    <=> $false )
    & ( k04_buttercup10430("2")
    <=> $true )
    & ( k04_buttercup10430("3")
    <=> $false )
    & ( k04_buttercup10430("4")
    <=> $false ) ) ).

fof(k04_buttercup10437,fi_predicates,
    ( ( k04_buttercup10437("1")
    <=> $false )
    & ( k04_buttercup10437("2")
    <=> $true )
    & ( k04_buttercup10437("3")
    <=> $false )
    & ( k04_buttercup10437("4")
    <=> $false ) ) ).

fof(k04_buttercup10445,fi_predicates,
    ( ( k04_buttercup10445("1")
    <=> $false )
    & ( k04_buttercup10445("2")
    <=> $true )
    & ( k04_buttercup10445("3")
    <=> $false )
    & ( k04_buttercup10445("4")
    <=> $false ) ) ).

fof(k04_buttercup10449,fi_predicates,
    ( ( k04_buttercup10449("1")
    <=> $false )
    & ( k04_buttercup10449("2")
    <=> $true )
    & ( k04_buttercup10449("3")
    <=> $true )
    & ( k04_buttercup10449("4")
    <=> $false ) ) ).

fof(k04_buttercup10453,fi_predicates,
    ( ( k04_buttercup10453("1")
    <=> $false )
    & ( k04_buttercup10453("2")
    <=> $true )
    & ( k04_buttercup10453("3")
    <=> $false )
    & ( k04_buttercup10453("4")
    <=> $false ) ) ).

fof(k04_buttercup10462,fi_predicates,
    ( ( k04_buttercup10462("1")
    <=> $false )
    & ( k04_buttercup10462("2")
    <=> $true )
    & ( k04_buttercup10462("3")
    <=> $false )
    & ( k04_buttercup10462("4")
    <=> $false ) ) ).

fof(k04_buttercup10464,fi_predicates,
    ( ( k04_buttercup10464("1")
    <=> $false )
    & ( k04_buttercup10464("2")
    <=> $true )
    & ( k04_buttercup10464("3")
    <=> $true )
    & ( k04_buttercup10464("4")
    <=> $false ) ) ).

fof(k04_buttercup10470,fi_predicates,
    ( ( k04_buttercup10470("1")
    <=> $false )
    & ( k04_buttercup10470("2")
    <=> $true )
    & ( k04_buttercup10470("3")
    <=> $false )
    & ( k04_buttercup10470("4")
    <=> $false ) ) ).

fof(k04_buttercup10473,fi_predicates,
    ( ( k04_buttercup10473("1")
    <=> $false )
    & ( k04_buttercup10473("2")
    <=> $true )
    & ( k04_buttercup10473("3")
    <=> $false )
    & ( k04_buttercup10473("4")
    <=> $false ) ) ).

fof(k04_buttercup10477,fi_predicates,
    ( ( k04_buttercup10477("1")
    <=> $false )
    & ( k04_buttercup10477("2")
    <=> $true )
    & ( k04_buttercup10477("3")
    <=> $true )
    & ( k04_buttercup10477("4")
    <=> $false ) ) ).

fof(k04_buttercup10482,fi_predicates,
    ( ( k04_buttercup10482("1")
    <=> $false )
    & ( k04_buttercup10482("2")
    <=> $true )
    & ( k04_buttercup10482("3")
    <=> $false )
    & ( k04_buttercup10482("4")
    <=> $false ) ) ).

fof(k04_buttercup10486,fi_predicates,
    ( ( k04_buttercup10486("1")
    <=> $false )
    & ( k04_buttercup10486("2")
    <=> $true )
    & ( k04_buttercup10486("3")
    <=> $true )
    & ( k04_buttercup10486("4")
    <=> $false ) ) ).

fof(k04_buttercup10492,fi_predicates,
    ( ( k04_buttercup10492("1")
    <=> $false )
    & ( k04_buttercup10492("2")
    <=> $true )
    & ( k04_buttercup10492("3")
    <=> $false )
    & ( k04_buttercup10492("4")
    <=> $false ) ) ).

fof(k04_buttercup10495,fi_predicates,
    ( ( k04_buttercup10495("1")
    <=> $false )
    & ( k04_buttercup10495("2")
    <=> $true )
    & ( k04_buttercup10495("3")
    <=> $false )
    & ( k04_buttercup10495("4")
    <=> $false ) ) ).

fof(k04_buttercup10499,fi_predicates,
    ( ( k04_buttercup10499("1")
    <=> $false )
    & ( k04_buttercup10499("2")
    <=> $true )
    & ( k04_buttercup10499("3")
    <=> $false )
    & ( k04_buttercup10499("4")
    <=> $false ) ) ).

fof(k04_buttercup10504,fi_predicates,
    ( ( k04_buttercup10504("1")
    <=> $false )
    & ( k04_buttercup10504("2")
    <=> $true )
    & ( k04_buttercup10504("3")
    <=> $false )
    & ( k04_buttercup10504("4")
    <=> $false ) ) ).

fof(k04_buttercup10506,fi_predicates,
    ( ( k04_buttercup10506("1")
    <=> $false )
    & ( k04_buttercup10506("2")
    <=> $true )
    & ( k04_buttercup10506("3")
    <=> $false )
    & ( k04_buttercup10506("4")
    <=> $false ) ) ).

fof(k04_buttercup10510,fi_predicates,
    ( ( k04_buttercup10510("1")
    <=> $false )
    & ( k04_buttercup10510("2")
    <=> $true )
    & ( k04_buttercup10510("3")
    <=> $false )
    & ( k04_buttercup10510("4")
    <=> $false ) ) ).

fof(k04_buttercup10516,fi_predicates,
    ( ( k04_buttercup10516("1")
    <=> $false )
    & ( k04_buttercup10516("2")
    <=> $true )
    & ( k04_buttercup10516("3")
    <=> $false )
    & ( k04_buttercup10516("4")
    <=> $true ) ) ).

fof(k04_buttercup10517,fi_predicates,
    ( ( k04_buttercup10517("1")
    <=> $false )
    & ( k04_buttercup10517("2")
    <=> $true )
    & ( k04_buttercup10517("3")
    <=> $false )
    & ( k04_buttercup10517("4")
    <=> $false ) ) ).

fof(k04_buttercup10524,fi_predicates,
    ( ( k04_buttercup10524("1")
    <=> $false )
    & ( k04_buttercup10524("2")
    <=> $true )
    & ( k04_buttercup10524("3")
    <=> $false )
    & ( k04_buttercup10524("4")
    <=> $false ) ) ).

fof(k04_buttercup10529,fi_predicates,
    ( ( k04_buttercup10529("1")
    <=> $false )
    & ( k04_buttercup10529("2")
    <=> $true )
    & ( k04_buttercup10529("3")
    <=> $false )
    & ( k04_buttercup10529("4")
    <=> $false ) ) ).

fof(k04_buttercup10535,fi_predicates,
    ( ( k04_buttercup10535("1")
    <=> $false )
    & ( k04_buttercup10535("2")
    <=> $true )
    & ( k04_buttercup10535("3")
    <=> $false )
    & ( k04_buttercup10535("4")
    <=> $false ) ) ).

fof(k04_buttercup10539,fi_predicates,
    ( ( k04_buttercup10539("1")
    <=> $true )
    & ( k04_buttercup10539("2")
    <=> $false )
    & ( k04_buttercup10539("3")
    <=> k04_buttercup10539("2") )
    & ( k04_buttercup10539("4")
    <=> k04_buttercup10539("3") ) ) ).

fof(k04_buttercup10540,fi_predicates,
    ( ( k04_buttercup10540("1")
    <=> $true )
    & ( k04_buttercup10540("2")
    <=> $false )
    & ( k04_buttercup10540("3")
    <=> k04_buttercup10540("2") )
    & ( k04_buttercup10540("4")
    <=> k04_buttercup10540("3") ) ) ).

fof(k04_buttercup10544,fi_predicates,
    ( ( k04_buttercup10544("1")
    <=> $false )
    & ( k04_buttercup10544("2")
    <=> $true )
    & ( k04_buttercup10544("3")
    <=> $false )
    & ( k04_buttercup10544("4")
    <=> $false ) ) ).

fof(k04_buttercup10546,fi_predicates,
    ( ( k04_buttercup10546("1")
    <=> $false )
    & ( k04_buttercup10546("2")
    <=> $true )
    & ( k04_buttercup10546("3")
    <=> $false )
    & ( k04_buttercup10546("4")
    <=> $false ) ) ).

fof(k04_buttercup10547,fi_predicates,
    ( ( k04_buttercup10547("1")
    <=> $false )
    & ( k04_buttercup10547("2")
    <=> $true )
    & ( k04_buttercup10547("3")
    <=> $false )
    & ( k04_buttercup10547("4")
    <=> $false ) ) ).

fof(k04_buttercup10551,fi_predicates,
    ( ( k04_buttercup10551("1")
    <=> $false )
    & ( k04_buttercup10551("2")
    <=> $true )
    & ( k04_buttercup10551("3")
    <=> $false )
    & ( k04_buttercup10551("4")
    <=> $false ) ) ).

fof(k04_buttercup10555,fi_predicates,
    ( ( k04_buttercup10555("1")
    <=> $false )
    & ( k04_buttercup10555("2")
    <=> $true )
    & ( k04_buttercup10555("3")
    <=> $false )
    & ( k04_buttercup10555("4")
    <=> $false ) ) ).

fof(k04_buttercup10559,fi_predicates,
    ( ( k04_buttercup10559("1")
    <=> $false )
    & ( k04_buttercup10559("2")
    <=> $true )
    & ( k04_buttercup10559("3")
    <=> $false )
    & ( k04_buttercup10559("4")
    <=> $false ) ) ).

fof(k04_buttercup10567,fi_predicates,
    ( ( k04_buttercup10567("1")
    <=> $false )
    & ( k04_buttercup10567("2")
    <=> $true )
    & ( k04_buttercup10567("3")
    <=> $true )
    & ( k04_buttercup10567("4")
    <=> $false ) ) ).

fof(k04_buttercup10578,fi_predicates,
    ( ( k04_buttercup10578("1")
    <=> $false )
    & ( k04_buttercup10578("2")
    <=> $true )
    & ( k04_buttercup10578("3")
    <=> $false )
    & ( k04_buttercup10578("4")
    <=> $false ) ) ).

fof(k04_buttercup10581,fi_predicates,
    ( ( k04_buttercup10581("1")
    <=> $false )
    & ( k04_buttercup10581("2")
    <=> $true )
    & ( k04_buttercup10581("3")
    <=> $false )
    & ( k04_buttercup10581("4")
    <=> $false ) ) ).

fof(k04_buttercup10586,fi_predicates,
    ( ( k04_buttercup10586("1")
    <=> $false )
    & ( k04_buttercup10586("2")
    <=> $true )
    & ( k04_buttercup10586("3")
    <=> $false )
    & ( k04_buttercup10586("4")
    <=> $false ) ) ).

fof(k04_buttercup10593,fi_predicates,
    ( ( k04_buttercup10593("1")
    <=> $false )
    & ( k04_buttercup10593("2")
    <=> $true )
    & ( k04_buttercup10593("3")
    <=> $false )
    & ( k04_buttercup10593("4")
    <=> $false ) ) ).

fof(k04_buttercup10599,fi_predicates,
    ( ( k04_buttercup10599("1")
    <=> $false )
    & ( k04_buttercup10599("2")
    <=> $true )
    & ( k04_buttercup10599("3")
    <=> $false )
    & ( k04_buttercup10599("4")
    <=> $false ) ) ).

fof(k04_buttercup10602,fi_predicates,
    ( ( k04_buttercup10602("1")
    <=> $false )
    & ( k04_buttercup10602("2")
    <=> $true )
    & ( k04_buttercup10602("3")
    <=> $false )
    & ( k04_buttercup10602("4")
    <=> $false ) ) ).

fof(k04_buttercup10608,fi_predicates,
    ( ( k04_buttercup10608("1")
    <=> $false )
    & ( k04_buttercup10608("2")
    <=> $false )
    & ( k04_buttercup10608("3")
    <=> $true )
    & ( k04_buttercup10608("4")
    <=> $false ) ) ).

fof(k04_buttercup10611,fi_predicates,
    ( ( k04_buttercup10611("1")
    <=> $false )
    & ( k04_buttercup10611("2")
    <=> $true )
    & ( k04_buttercup10611("3")
    <=> $false )
    & ( k04_buttercup10611("4")
    <=> $false ) ) ).

fof(k04_buttercup10619,fi_predicates,
    ( ( k04_buttercup10619("1")
    <=> $false )
    & ( k04_buttercup10619("2")
    <=> $true )
    & ( k04_buttercup10619("3")
    <=> $true )
    & ( k04_buttercup10619("4")
    <=> $false ) ) ).

fof(k04_buttercup10620,fi_predicates,
    ( ( k04_buttercup10620("1")
    <=> $false )
    & ( k04_buttercup10620("2")
    <=> $false )
    & ( k04_buttercup10620("3")
    <=> $true )
    & ( k04_buttercup10620("4")
    <=> $false ) ) ).

fof(k04_buttercup10622,fi_predicates,
    ( ( k04_buttercup10622("1")
    <=> $false )
    & ( k04_buttercup10622("2")
    <=> $true )
    & ( k04_buttercup10622("3")
    <=> $true )
    & ( k04_buttercup10622("4")
    <=> $false ) ) ).

fof(k04_buttercup10626,fi_predicates,
    ( ( k04_buttercup10626("1")
    <=> $false )
    & ( k04_buttercup10626("2")
    <=> $true )
    & ( k04_buttercup10626("3")
    <=> $false )
    & ( k04_buttercup10626("4")
    <=> $false ) ) ).

fof(k04_buttercup10628,fi_predicates,
    ( ( k04_buttercup10628("1")
    <=> $false )
    & ( k04_buttercup10628("2")
    <=> $true )
    & ( k04_buttercup10628("3")
    <=> $false )
    & ( k04_buttercup10628("4")
    <=> $false ) ) ).

fof(k04_buttercup10631,fi_predicates,
    ( ( k04_buttercup10631("1")
    <=> $false )
    & ( k04_buttercup10631("2")
    <=> $true )
    & ( k04_buttercup10631("3")
    <=> $false )
    & ( k04_buttercup10631("4")
    <=> $false ) ) ).

fof(k04_buttercup10635,fi_predicates,
    ( ( k04_buttercup10635("1")
    <=> $false )
    & ( k04_buttercup10635("2")
    <=> $true )
    & ( k04_buttercup10635("3")
    <=> $false )
    & ( k04_buttercup10635("4")
    <=> $false ) ) ).

fof(k04_buttercup10637,fi_predicates,
    ( ( k04_buttercup10637("1")
    <=> $false )
    & ( k04_buttercup10637("2")
    <=> $true )
    & ( k04_buttercup10637("3")
    <=> $false )
    & ( k04_buttercup10637("4")
    <=> $false ) ) ).

fof(k04_buttercup10639,fi_predicates,
    ( ( k04_buttercup10639("1")
    <=> $false )
    & ( k04_buttercup10639("2")
    <=> $true )
    & ( k04_buttercup10639("3")
    <=> $false )
    & ( k04_buttercup10639("4")
    <=> $false ) ) ).

fof(k04_buttercup10641,fi_predicates,
    ( ( k04_buttercup10641("1")
    <=> $false )
    & ( k04_buttercup10641("2")
    <=> $true )
    & ( k04_buttercup10641("3")
    <=> $false )
    & ( k04_buttercup10641("4")
    <=> $false ) ) ).

fof(k04_buttercup10643,fi_predicates,
    ( ( k04_buttercup10643("1")
    <=> $false )
    & ( k04_buttercup10643("2")
    <=> $true )
    & ( k04_buttercup10643("3")
    <=> $false )
    & ( k04_buttercup10643("4")
    <=> $false ) ) ).

fof(sK1000_sos_807_X976,fi_functors,
    sK1000_sos_807_X976 = "2" ).

fof(sK1001_sos_808_X977,fi_functors,
    sK1001_sos_808_X977 = "3" ).

fof(sK1003_sos_810_X979,fi_functors,
    sK1003_sos_810_X979 = "2" ).

fof(sK1004_sos_811_X980,fi_functors,
    sK1004_sos_811_X980 = "2" ).

fof(sK1005_sos_812_X981,fi_functors,
    sK1005_sos_812_X981 = "2" ).

fof(sK1006_sos_813_X982,fi_functors,
    sK1006_sos_813_X982 = "1" ).

fof(sK1007_sos_814_X983,fi_functors,
    sK1007_sos_814_X983 = "2" ).

fof(sK1008_sos_815_X984,fi_functors,
    sK1008_sos_815_X984 = "1" ).

fof(sK1009_sos_816_X985,fi_functors,
    sK1009_sos_816_X985 = "2" ).

fof(sK1010_sos_817_X986,fi_functors,
    sK1010_sos_817_X986 = "2" ).

fof(sK1011_sos_818_X987,fi_functors,
    sK1011_sos_818_X987 = "2" ).

fof(sK1012_sos_819_X988,fi_functors,
    sK1012_sos_819_X988 = "2" ).

fof(sK1013_sos_820_X989,fi_functors,
    sK1013_sos_820_X989 = "2" ).

fof(sK1015_sos_822_X991,fi_functors,
    sK1015_sos_822_X991 = "2" ).

fof(sK1016_sos_823_X992,fi_functors,
    sK1016_sos_823_X992 = "1" ).

fof(sK1017_sos_824_X993,fi_functors,
    sK1017_sos_824_X993 = "2" ).

fof(sK1018_sos_825_X994,fi_functors,
    sK1018_sos_825_X994 = "2" ).

fof(sK1019_sos_826_X995,fi_functors,
    sK1019_sos_826_X995 = "2" ).

fof(sK1020_sos_827_X996,fi_functors,
    sK1020_sos_827_X996 = "1" ).

fof(sK1021_sos_828_X997,fi_functors,
    sK1021_sos_828_X997 = "2" ).

fof(sK1022_sos_829_X998,fi_functors,
    sK1022_sos_829_X998 = "2" ).

fof(sK1023_sos_830_X999,fi_functors,
    sK1023_sos_830_X999 = "2" ).

fof(sK1024_sos_831_X1000,fi_functors,
    sK1024_sos_831_X1000 = "3" ).

fof(sK1025_sos_832_X1001,fi_functors,
    sK1025_sos_832_X1001 = "3" ).

fof(sK1026_sos_833_X1002,fi_functors,
    sK1026_sos_833_X1002 = "2" ).

fof(sK1027_sos_834_X1003,fi_functors,
    sK1027_sos_834_X1003 = "3" ).

fof(sK1028_sos_835_X1004,fi_functors,
    sK1028_sos_835_X1004 = "3" ).

fof(sK1029_sos_836_X1005,fi_functors,
    sK1029_sos_836_X1005 = "3" ).

fof(sK1031_sos_838_X1007,fi_functors,
    sK1031_sos_838_X1007 = "2" ).

fof(sK1032_sos_839_X1008,fi_functors,
    sK1032_sos_839_X1008 = "2" ).

fof(sK1033_sos_840_X1009,fi_functors,
    sK1033_sos_840_X1009 = "2" ).

fof(sK1034_sos_841_X1010,fi_functors,
    sK1034_sos_841_X1010 = "2" ).

fof(sK1035_sos_842_X1011,fi_functors,
    sK1035_sos_842_X1011 = "1" ).

fof(sK1036_sos_843_X1012,fi_functors,
    sK1036_sos_843_X1012 = "2" ).

fof(sK1037_sos_844_X1013,fi_functors,
    sK1037_sos_844_X1013 = "2" ).

fof(sK1039_sos_846_X1015,fi_functors,
    sK1039_sos_846_X1015 = "3" ).

fof(sK1040_sos_847_X1016,fi_functors,
    sK1040_sos_847_X1016 = "3" ).

fof(sK1041_sos_848_X1017,fi_functors,
    sK1041_sos_848_X1017 = "2" ).

fof(sK1042_sos_849_X1018,fi_functors,
    sK1042_sos_849_X1018 = "2" ).

fof(sK1043_sos_850_X1019,fi_functors,
    sK1043_sos_850_X1019 = "2" ).

fof(sK1044_sos_851_X1020,fi_functors,
    sK1044_sos_851_X1020 = "2" ).

fof(sK1045_sos_852_X1021,fi_functors,
    sK1045_sos_852_X1021 = "1" ).

fof(sK1046_sos_853_X1022,fi_functors,
    sK1046_sos_853_X1022 = "2" ).

fof(sK1047_sos_854_X1023,fi_functors,
    sK1047_sos_854_X1023 = "2" ).

fof(sK1048_sos_855_X1024,fi_functors,
    sK1048_sos_855_X1024 = "2" ).

fof(sK1049_sos_856_X1025,fi_functors,
    sK1049_sos_856_X1025 = "2" ).

fof(sK1050_sos_857_X1026,fi_functors,
    sK1050_sos_857_X1026 = "2" ).

fof(sK1051_sos_858_X1027,fi_functors,
    sK1051_sos_858_X1027 = "3" ).

fof(sK1052_sos_859_X1028,fi_functors,
    sK1052_sos_859_X1028 = "3" ).

fof(sK1053_sos_860_X1029,fi_functors,
    sK1053_sos_860_X1029 = "2" ).

fof(sK1054_sos_861_X1030,fi_functors,
    sK1054_sos_861_X1030 = "2" ).

fof(sK1055_sos_862_X1031,fi_functors,
    sK1055_sos_862_X1031 = "2" ).

fof(sK1056_sos_863_X1032,fi_functors,
    sK1056_sos_863_X1032 = "2" ).

fof(sK1058_sos_865_X1034,fi_functors,
    sK1058_sos_865_X1034 = "2" ).

fof(sK1060_sos_867_X1036,fi_functors,
    sK1060_sos_867_X1036 = "2" ).

fof(sK1061_sos_868_X1037,fi_functors,
    sK1061_sos_868_X1037 = "2" ).

fof(sK1062_sos_869_X1038,fi_functors,
    sK1062_sos_869_X1038 = "2" ).

fof(sK1063_sos_870_X1039,fi_functors,
    sK1063_sos_870_X1039 = "2" ).

fof(sK1067_sos_874_X1043,fi_functors,
    sK1067_sos_874_X1043 = "2" ).

fof(sK1068_sos_875_X1044,fi_functors,
    sK1068_sos_875_X1044 = "2" ).

fof(sK1069_sos_876_X1045,fi_functors,
    sK1069_sos_876_X1045 = "3" ).

fof(sK1070_sos_877_X1046,fi_functors,
    sK1070_sos_877_X1046 = "3" ).

fof(sK1071_sos_878_X1047,fi_functors,
    sK1071_sos_878_X1047 = "2" ).

fof(sK1072_sos_879_X1048,fi_functors,
    sK1072_sos_879_X1048 = "1" ).

fof(sK1073_sos_880_X1049,fi_functors,
    sK1073_sos_880_X1049 = "2" ).

fof(sK1074_sos_881_X1050,fi_functors,
    sK1074_sos_881_X1050 = "2" ).

fof(sK1075_sos_882_X1051,fi_functors,
    sK1075_sos_882_X1051 = "2" ).

fof(sK1076_sos_883_X1052,fi_functors,
    sK1076_sos_883_X1052 = "2" ).

fof(sK1077_sos_884_X1053,fi_functors,
    sK1077_sos_884_X1053 = "2" ).

fof(sK1078_sos_885_X1054,fi_functors,
    sK1078_sos_885_X1054 = "2" ).

fof(sK1079_goals_886_X1056,fi_functors,
    sK1079_goals_886_X1056 = "1" ).

fof(sK1080_goals_886_X1061,fi_functors,
    sK1080_goals_886_X1061 = "3" ).

fof(sK1081_goals_886_X1055,fi_functors,
    sK1081_goals_886_X1055 = "2" ).

fof(sK319_sos_320_X320,fi_functors,
    sK319_sos_320_X320 = "2" ).

fof(sK323_sos_323_X324,fi_functors,
    sK323_sos_323_X324 = "3" ).

fof(sK331_sos_330_X332,fi_functors,
    sK331_sos_330_X332 = "3" ).

fof(sK333_sos_331_X334,fi_functors,
    sK333_sos_331_X334 = "3" ).

fof(sK336_sos_333_X337,fi_functors,
    sK336_sos_333_X337 = "4" ).

fof(sK338_sos_334_X339,fi_functors,
    sK338_sos_334_X339 = "4" ).

fof(sK341_sos_336_X342,fi_functors,
    sK341_sos_336_X342 = "3" ).

fof(sK343_sos_337_X344,fi_functors,
    sK343_sos_337_X344 = "3" ).

fof(sK345_sos_338_X346,fi_functors,
    sK345_sos_338_X346 = "3" ).

fof(sK347_sos_339_X348,fi_functors,
    sK347_sos_339_X348 = "3" ).

fof(sK349_sos_340_X350,fi_functors,
    sK349_sos_340_X350 = "3" ).

fof(sK350_sos_340_X351,fi_functors,
    sK350_sos_340_X351 = "1" ).

fof(sK351_sos_340_X349,fi_functors,
    sK351_sos_340_X349 = "2" ).

fof(sK357_sos_346_X361,fi_functors,
    sK357_sos_346_X361 = "2" ).

fof(sK358_sos_346_X363,fi_functors,
    sK358_sos_346_X363 = "2" ).

fof(sK359_sos_346_X357,fi_functors,
    sK359_sos_346_X357 = "3" ).

fof(sK360_sos_346_X358,fi_functors,
    sK360_sos_346_X358 = "3" ).

fof(sK361_sos_346_X359,fi_functors,
    sK361_sos_346_X359 = "2" ).

fof(sK367_sos_347_X366,fi_functors,
    sK367_sos_347_X366 = "3" ).

fof(sK369_sos_348_X368,fi_functors,
    sK369_sos_348_X368 = "3" ).

fof(sK371_sos_349_X370,fi_functors,
    sK371_sos_349_X370 = "3" ).

fof(sK373_sos_350_X372,fi_functors,
    sK373_sos_350_X372 = "1" ).

fof(sK387_sos_363_X386,fi_functors,
    sK387_sos_363_X386 = "3" ).

fof(sK389_sos_364_X388,fi_functors,
    sK389_sos_364_X388 = "3" ).

fof(sK392_sos_366_X391,fi_functors,
    sK392_sos_366_X391 = "1" ).

fof(sK394_sos_367_X393,fi_functors,
    sK394_sos_367_X393 = "2" ).

fof(sK396_sos_368_X395,fi_functors,
    sK396_sos_368_X395 = "3" ).

fof(sK401_sos_372_X400,fi_functors,
    sK401_sos_372_X400 = "2" ).

fof(sK403_sos_373_X405,fi_functors,
    sK403_sos_373_X405 = "2" ).

fof(sK404_sos_373_X407,fi_functors,
    sK404_sos_373_X407 = "1" ).

fof(sK405_sos_373_X401,fi_functors,
    sK405_sos_373_X401 = "2" ).

fof(sK406_sos_373_X402,fi_functors,
    sK406_sos_373_X402 = "1" ).

fof(sK407_sos_373_X403,fi_functors,
    sK407_sos_373_X403 = "2" ).

fof(sK413_sos_374_X413,fi_functors,
    sK413_sos_374_X413 = "2" ).

fof(sK414_sos_374_X415,fi_functors,
    sK414_sos_374_X415 = "1" ).

fof(sK415_sos_374_X410,fi_functors,
    sK415_sos_374_X410 = "2" ).

fof(sK416_sos_374_X411,fi_functors,
    sK416_sos_374_X411 = "2" ).

fof(sK417_sos_374_X409,fi_functors,
    sK417_sos_374_X409 = "1" ).

fof(sK424_sos_376_X419,fi_functors,
    sK424_sos_376_X419 = "1" ).

fof(sK426_sos_377_X424,fi_functors,
    sK426_sos_377_X424 = "2" ).

fof(sK427_sos_377_X426,fi_functors,
    sK427_sos_377_X426 = "1" ).

fof(sK428_sos_377_X420,fi_functors,
    sK428_sos_377_X420 = "2" ).

fof(sK429_sos_377_X421,fi_functors,
    sK429_sos_377_X421 = "1" ).

fof(sK430_sos_377_X422,fi_functors,
    sK430_sos_377_X422 = "2" ).

fof(sK436_sos_378_X432,fi_functors,
    sK436_sos_378_X432 = "2" ).

fof(sK437_sos_378_X434,fi_functors,
    sK437_sos_378_X434 = "1" ).

fof(sK438_sos_378_X430,fi_functors,
    sK438_sos_378_X430 = "2" ).

fof(sK439_sos_378_X428,fi_functors,
    sK439_sos_378_X428 = "2" ).

fof(sK440_sos_378_X429,fi_functors,
    sK440_sos_378_X429 = "1" ).

fof(sK446_sos_379_X440,fi_functors,
    sK446_sos_379_X440 = "2" ).

fof(sK447_sos_379_X442,fi_functors,
    sK447_sos_379_X442 = "1" ).

fof(sK448_sos_379_X436,fi_functors,
    sK448_sos_379_X436 = "2" ).

fof(sK449_sos_379_X437,fi_functors,
    sK449_sos_379_X437 = "2" ).

fof(sK450_sos_379_X438,fi_functors,
    sK450_sos_379_X438 = "1" ).

fof(sK456_sos_380_X445,fi_functors,
    sK456_sos_380_X445 = "2" ).

fof(sK458_sos_381_X450,fi_functors,
    sK458_sos_381_X450 = "2" ).

fof(sK459_sos_381_X452,fi_functors,
    sK459_sos_381_X452 = "1" ).

fof(sK460_sos_381_X446,fi_functors,
    sK460_sos_381_X446 = "1" ).

fof(sK461_sos_381_X447,fi_functors,
    sK461_sos_381_X447 = "4" ).

fof(sK462_sos_381_X448,fi_functors,
    sK462_sos_381_X448 = "1" ).

fof(sK468_sos_382_X455,fi_functors,
    sK468_sos_382_X455 = "2" ).

fof(sK474_sos_387_X461,fi_functors,
    sK474_sos_387_X461 = "3" ).

fof(sK480_sos_392_X467,fi_functors,
    sK480_sos_392_X467 = "3" ).

fof(sK483_sos_394_X470,fi_functors,
    sK483_sos_394_X470 = "3" ).

fof(sK485_sos_395_X472,fi_functors,
    sK485_sos_395_X472 = "3" ).

fof(sK487_sos_396_X474,fi_functors,
    sK487_sos_396_X474 = "3" ).

fof(sK489_sos_397_X476,fi_functors,
    sK489_sos_397_X476 = "3" ).

fof(sK492_sos_399_X479,fi_functors,
    sK492_sos_399_X479 = "4" ).

fof(sK494_sos_400_X481,fi_functors,
    sK494_sos_400_X481 = "1" ).

fof(sK497_sos_402_X487,fi_functors,
    sK497_sos_402_X487 = "2" ).

fof(sK498_sos_402_X489,fi_functors,
    sK498_sos_402_X489 = "1" ).

fof(sK499_sos_402_X483,fi_functors,
    sK499_sos_402_X483 = "2" ).

fof(sK500_sos_402_X484,fi_functors,
    sK500_sos_402_X484 = "1" ).

fof(sK501_sos_402_X485,fi_functors,
    sK501_sos_402_X485 = "1" ).

fof(sK507_sos_403_X495,fi_functors,
    sK507_sos_403_X495 = "2" ).

fof(sK508_sos_403_X497,fi_functors,
    sK508_sos_403_X497 = "4" ).

fof(sK509_sos_403_X491,fi_functors,
    sK509_sos_403_X491 = "2" ).

fof(sK510_sos_403_X492,fi_functors,
    sK510_sos_403_X492 = "4" ).

fof(sK511_sos_403_X493,fi_functors,
    sK511_sos_403_X493 = "3" ).

fof(sK518_sos_405_X501,fi_functors,
    sK518_sos_405_X501 = "3" ).

fof(sK523_sos_409_X506,fi_functors,
    sK523_sos_409_X506 = "3" ).

fof(sK525_sos_410_X508,fi_functors,
    sK525_sos_410_X508 = "3" ).

fof(sK528_sos_412_X511,fi_functors,
    sK528_sos_412_X511 = "3" ).

fof(sK530_sos_413_X513,fi_functors,
    sK530_sos_413_X513 = "1" ).

fof(sK532_sos_414_X515,fi_functors,
    sK532_sos_414_X515 = "3" ).

fof(sK537_sos_418_X520,fi_functors,
    sK537_sos_418_X520 = "2" ).

fof(sK539_sos_419_X522,fi_functors,
    sK539_sos_419_X522 = "1" ).

fof(sK541_sos_420_X527,fi_functors,
    sK541_sos_420_X527 = "1" ).

fof(sK542_sos_420_X529,fi_functors,
    sK542_sos_420_X529 = "1" ).

fof(sK543_sos_420_X523,fi_functors,
    sK543_sos_420_X523 = "1" ).

fof(sK544_sos_420_X524,fi_functors,
    sK544_sos_420_X524 = "1" ).

fof(sK545_sos_420_X525,fi_functors,
    sK545_sos_420_X525 = "2" ).

fof(sK552_sos_422_X533,fi_functors,
    sK552_sos_422_X533 = "3" ).

fof(sK554_sos_423_X535,fi_functors,
    sK554_sos_423_X535 = "3" ).

fof(sK556_sos_424_X537,fi_functors,
    sK556_sos_424_X537 = "3" ).

fof(sK561_sos_428_X542,fi_functors,
    sK561_sos_428_X542 = "2" ).

fof(sK565_sos_431_X546,fi_functors,
    sK565_sos_431_X546 = "2" ).

fof(sK567_sos_432_X548,fi_functors,
    sK567_sos_432_X548 = "2" ).

fof(sK570_sos_434_X551,fi_functors,
    sK570_sos_434_X551 = "2" ).

fof(sK573_sos_436_X554,fi_functors,
    sK573_sos_436_X554 = "3" ).

fof(sK575_sos_437_X556,fi_functors,
    sK575_sos_437_X556 = "3" ).

fof(sK577_sos_438_X558,fi_functors,
    sK577_sos_438_X558 = "3" ).

fof(sK581_sos_441_X562,fi_functors,
    sK581_sos_441_X562 = "1" ).

fof(sK583_sos_442_X567,fi_functors,
    sK583_sos_442_X567 = "2" ).

fof(sK584_sos_442_X569,fi_functors,
    sK584_sos_442_X569 = "1" ).

fof(sK585_sos_442_X563,fi_functors,
    sK585_sos_442_X563 = "1" ).

fof(sK586_sos_442_X564,fi_functors,
    sK586_sos_442_X564 = "4" ).

fof(sK587_sos_442_X565,fi_functors,
    sK587_sos_442_X565 = "1" ).

fof(sK593_sos_443_X571,fi_functors,
    sK593_sos_443_X571 = "2" ).

fof(sK594_sos_443_X572,fi_functors,
    sK594_sos_443_X572 = "3" ).

fof(sK595_sos_443_X573,fi_functors,
    sK595_sos_443_X573 = "1" ).

fof(sK596_sos_444_X575,fi_functors,
    sK596_sos_444_X575 = "3" ).

fof(sK600_sos_447_X579,fi_functors,
    sK600_sos_447_X579 = "3" ).

fof(sK602_sos_448_X581,fi_functors,
    sK602_sos_448_X581 = "1" ).

fof(sK606_sos_451_X585,fi_functors,
    sK606_sos_451_X585 = "3" ).

fof(sK609_sos_453_X588,fi_functors,
    sK609_sos_453_X588 = "3" ).

fof(sK618_sos_461_X597,fi_functors,
    sK618_sos_461_X597 = "1" ).

fof(sK626_sos_468_X605,fi_functors,
    sK626_sos_468_X605 = "3" ).

fof(sK630_sos_471_X609,fi_functors,
    sK630_sos_471_X609 = "3" ).

fof(sK634_sos_474_X613,fi_functors,
    sK634_sos_474_X613 = "3" ).

fof(sK636_sos_475_X615,fi_functors,
    sK636_sos_475_X615 = "3" ).

fof(sK641_sos_479_X620,fi_functors,
    sK641_sos_479_X620 = "3" ).

fof(sK643_sos_480_X622,fi_functors,
    sK643_sos_480_X622 = "3" ).

fof(sK646_sos_482_X625,fi_functors,
    sK646_sos_482_X625 = "3" ).

fof(sK648_sos_483_X627,fi_functors,
    sK648_sos_483_X627 = "3" ).

fof(sK650_sos_484_X629,fi_functors,
    sK650_sos_484_X629 = "3" ).

fof(sK652_sos_485_X631,fi_functors,
    sK652_sos_485_X631 = "3" ).

fof(sK657_sos_489_X636,fi_functors,
    sK657_sos_489_X636 = "1" ).

fof(sK662_sos_493_X641,fi_functors,
    sK662_sos_493_X641 = "1" ).

fof(sK664_sos_494_X643,fi_functors,
    sK664_sos_494_X643 = "1" ).

fof(sK671_sos_500_X650,fi_functors,
    sK671_sos_500_X650 = "3" ).

fof(sK677_sos_505_X656,fi_functors,
    sK677_sos_505_X656 = "1" ).

fof(sK680_sos_507_X659,fi_functors,
    sK680_sos_507_X659 = "2" ).

fof(sK683_sos_509_X662,fi_functors,
    sK683_sos_509_X662 = "3" ).

fof(sK686_sos_511_X665,fi_functors,
    sK686_sos_511_X665 = "3" ).

fof(sK690_sos_514_X669,fi_functors,
    sK690_sos_514_X669 = "3" ).

fof(sK692_sos_515_X671,fi_functors,
    sK692_sos_515_X671 = "3" ).

fof(sK699_sos_521_X678,fi_functors,
    sK699_sos_521_X678 = "3" ).

fof(sK701_sos_522_X683,fi_functors,
    sK701_sos_522_X683 = "3" ).

fof(sK702_sos_522_X685,fi_functors,
    sK702_sos_522_X685 = "1" ).

fof(sK703_sos_522_X680,fi_functors,
    sK703_sos_522_X680 = "1" ).

fof(sK704_sos_522_X681,fi_functors,
    sK704_sos_522_X681 = "3" ).

fof(sK705_sos_522_X679,fi_functors,
    sK705_sos_522_X679 = "1" ).

fof(sK711_sos_523_X687,fi_functors,
    sK711_sos_523_X687 = "3" ).

fof(sK712_sos_523_X688,fi_functors,
    sK712_sos_523_X688 = "2" ).

fof(sK713_sos_523_X689,fi_functors,
    sK713_sos_523_X689 = "1" ).

fof(sK714_sos_524_X691,fi_functors,
    sK714_sos_524_X691 = "2" ).

fof(sK716_sos_525_X692,fi_functors,
    sK716_sos_525_X692 = "2" ).

fof(sK717_sos_525_X693,fi_functors,
    sK717_sos_525_X693 = "3" ).

fof(sK718_sos_525_X694,fi_functors,
    sK718_sos_525_X694 = "1" ).

fof(sK719_sos_526_X695,fi_functors,
    sK719_sos_526_X695 = "3" ).

fof(sK720_sos_527_X696,fi_functors,
    sK720_sos_527_X696 = "1" ).

fof(sK721_sos_528_X697,fi_functors,
    sK721_sos_528_X697 = "2" ).

fof(sK722_sos_529_X698,fi_functors,
    sK722_sos_529_X698 = "1" ).

fof(sK723_sos_530_X699,fi_functors,
    sK723_sos_530_X699 = "2" ).

fof(sK724_sos_531_X700,fi_functors,
    sK724_sos_531_X700 = "1" ).

fof(sK725_sos_532_X701,fi_functors,
    sK725_sos_532_X701 = "1" ).

fof(sK726_sos_533_X702,fi_functors,
    sK726_sos_533_X702 = "2" ).

fof(sK727_sos_534_X703,fi_functors,
    sK727_sos_534_X703 = "1" ).

fof(sK728_sos_535_X704,fi_functors,
    sK728_sos_535_X704 = "2" ).

fof(sK729_sos_536_X705,fi_functors,
    sK729_sos_536_X705 = "2" ).

fof(sK730_sos_537_X706,fi_functors,
    sK730_sos_537_X706 = "2" ).

fof(sK731_sos_538_X707,fi_functors,
    sK731_sos_538_X707 = "2" ).

fof(sK732_sos_539_X708,fi_functors,
    sK732_sos_539_X708 = "2" ).

fof(sK733_sos_540_X709,fi_functors,
    sK733_sos_540_X709 = "2" ).

fof(sK734_sos_541_X710,fi_functors,
    sK734_sos_541_X710 = "2" ).

fof(sK735_sos_542_X711,fi_functors,
    sK735_sos_542_X711 = "2" ).

fof(sK736_sos_543_X712,fi_functors,
    sK736_sos_543_X712 = "2" ).

fof(sK737_sos_544_X713,fi_functors,
    sK737_sos_544_X713 = "1" ).

fof(sK738_sos_545_X714,fi_functors,
    sK738_sos_545_X714 = "2" ).

fof(sK739_sos_546_X715,fi_functors,
    sK739_sos_546_X715 = "2" ).

fof(sK740_sos_547_X716,fi_functors,
    sK740_sos_547_X716 = "2" ).

fof(sK741_sos_548_X717,fi_functors,
    sK741_sos_548_X717 = "2" ).

fof(sK742_sos_549_X718,fi_functors,
    sK742_sos_549_X718 = "2" ).

fof(sK743_sos_550_X719,fi_functors,
    sK743_sos_550_X719 = "2" ).

fof(sK744_sos_551_X720,fi_functors,
    sK744_sos_551_X720 = "2" ).

fof(sK745_sos_552_X721,fi_functors,
    sK745_sos_552_X721 = "2" ).

fof(sK746_sos_553_X722,fi_functors,
    sK746_sos_553_X722 = "2" ).

fof(sK747_sos_554_X723,fi_functors,
    sK747_sos_554_X723 = "2" ).

fof(sK748_sos_555_X724,fi_functors,
    sK748_sos_555_X724 = "2" ).

fof(sK749_sos_556_X725,fi_functors,
    sK749_sos_556_X725 = "2" ).

fof(sK750_sos_557_X726,fi_functors,
    sK750_sos_557_X726 = "2" ).

fof(sK751_sos_558_X727,fi_functors,
    sK751_sos_558_X727 = "2" ).

fof(sK752_sos_559_X728,fi_functors,
    sK752_sos_559_X728 = "2" ).

fof(sK753_sos_560_X729,fi_functors,
    sK753_sos_560_X729 = "2" ).

fof(sK754_sos_561_X730,fi_functors,
    sK754_sos_561_X730 = "2" ).

fof(sK755_sos_562_X731,fi_functors,
    sK755_sos_562_X731 = "2" ).

fof(sK756_sos_563_X732,fi_functors,
    sK756_sos_563_X732 = "2" ).

fof(sK757_sos_564_X733,fi_functors,
    sK757_sos_564_X733 = "2" ).

fof(sK758_sos_565_X734,fi_functors,
    sK758_sos_565_X734 = "2" ).

fof(sK759_sos_566_X735,fi_functors,
    sK759_sos_566_X735 = "2" ).

fof(sK760_sos_567_X736,fi_functors,
    sK760_sos_567_X736 = "2" ).

fof(sK761_sos_568_X737,fi_functors,
    sK761_sos_568_X737 = "2" ).

fof(sK762_sos_569_X738,fi_functors,
    sK762_sos_569_X738 = "2" ).

fof(sK763_sos_570_X739,fi_functors,
    sK763_sos_570_X739 = "2" ).

fof(sK764_sos_571_X740,fi_functors,
    sK764_sos_571_X740 = "2" ).

fof(sK765_sos_572_X741,fi_functors,
    sK765_sos_572_X741 = "2" ).

fof(sK766_sos_573_X742,fi_functors,
    sK766_sos_573_X742 = "2" ).

fof(sK767_sos_574_X743,fi_functors,
    sK767_sos_574_X743 = "2" ).

fof(sK768_sos_575_X744,fi_functors,
    sK768_sos_575_X744 = "2" ).

fof(sK769_sos_576_X745,fi_functors,
    sK769_sos_576_X745 = "2" ).

fof(sK770_sos_577_X746,fi_functors,
    sK770_sos_577_X746 = "2" ).

fof(sK771_sos_578_X747,fi_functors,
    sK771_sos_578_X747 = "2" ).

fof(sK772_sos_579_X748,fi_functors,
    sK772_sos_579_X748 = "2" ).

fof(sK773_sos_580_X749,fi_functors,
    sK773_sos_580_X749 = "2" ).

fof(sK774_sos_581_X750,fi_functors,
    sK774_sos_581_X750 = "2" ).

fof(sK775_sos_582_X751,fi_functors,
    sK775_sos_582_X751 = "2" ).

fof(sK776_sos_583_X752,fi_functors,
    sK776_sos_583_X752 = "2" ).

fof(sK777_sos_584_X753,fi_functors,
    sK777_sos_584_X753 = "2" ).

fof(sK778_sos_585_X754,fi_functors,
    sK778_sos_585_X754 = "2" ).

fof(sK779_sos_586_X755,fi_functors,
    sK779_sos_586_X755 = "2" ).

fof(sK780_sos_587_X756,fi_functors,
    sK780_sos_587_X756 = "2" ).

fof(sK781_sos_588_X757,fi_functors,
    sK781_sos_588_X757 = "2" ).

fof(sK782_sos_589_X758,fi_functors,
    sK782_sos_589_X758 = "2" ).

fof(sK783_sos_590_X759,fi_functors,
    sK783_sos_590_X759 = "2" ).

fof(sK784_sos_591_X760,fi_functors,
    sK784_sos_591_X760 = "2" ).

fof(sK785_sos_592_X761,fi_functors,
    sK785_sos_592_X761 = "3" ).

fof(sK786_sos_593_X762,fi_functors,
    sK786_sos_593_X762 = "2" ).

fof(sK787_sos_594_X763,fi_functors,
    sK787_sos_594_X763 = "2" ).

fof(sK788_sos_595_X764,fi_functors,
    sK788_sos_595_X764 = "2" ).

fof(sK790_sos_597_X766,fi_functors,
    sK790_sos_597_X766 = "2" ).

fof(sK791_sos_598_X767,fi_functors,
    sK791_sos_598_X767 = "2" ).

fof(sK792_sos_599_X768,fi_functors,
    sK792_sos_599_X768 = "2" ).

fof(sK793_sos_600_X769,fi_functors,
    sK793_sos_600_X769 = "2" ).

fof(sK794_sos_601_X770,fi_functors,
    sK794_sos_601_X770 = "2" ).

fof(sK795_sos_602_X771,fi_functors,
    sK795_sos_602_X771 = "2" ).

fof(sK796_sos_603_X772,fi_functors,
    sK796_sos_603_X772 = "1" ).

fof(sK797_sos_604_X773,fi_functors,
    sK797_sos_604_X773 = "2" ).

fof(sK798_sos_605_X774,fi_functors,
    sK798_sos_605_X774 = "2" ).

fof(sK799_sos_606_X775,fi_functors,
    sK799_sos_606_X775 = "2" ).

fof(sK800_sos_607_X776,fi_functors,
    sK800_sos_607_X776 = "1" ).

fof(sK801_sos_608_X777,fi_functors,
    sK801_sos_608_X777 = "1" ).

fof(sK802_sos_609_X778,fi_functors,
    sK802_sos_609_X778 = "2" ).

fof(sK803_sos_610_X779,fi_functors,
    sK803_sos_610_X779 = "2" ).

fof(sK804_sos_611_X780,fi_functors,
    sK804_sos_611_X780 = "2" ).

fof(sK805_sos_612_X781,fi_functors,
    sK805_sos_612_X781 = "2" ).

fof(sK806_sos_613_X782,fi_functors,
    sK806_sos_613_X782 = "2" ).

fof(sK807_sos_614_X783,fi_functors,
    sK807_sos_614_X783 = "2" ).

fof(sK808_sos_615_X784,fi_functors,
    sK808_sos_615_X784 = "2" ).

fof(sK809_sos_616_X785,fi_functors,
    sK809_sos_616_X785 = "2" ).

fof(sK810_sos_617_X786,fi_functors,
    sK810_sos_617_X786 = "2" ).

fof(sK811_sos_618_X787,fi_functors,
    sK811_sos_618_X787 = "2" ).

fof(sK812_sos_619_X788,fi_functors,
    sK812_sos_619_X788 = "2" ).

fof(sK813_sos_620_X789,fi_functors,
    sK813_sos_620_X789 = "2" ).

fof(sK814_sos_621_X790,fi_functors,
    sK814_sos_621_X790 = "2" ).

fof(sK815_sos_622_X791,fi_functors,
    sK815_sos_622_X791 = "3" ).

fof(sK816_sos_623_X792,fi_functors,
    sK816_sos_623_X792 = "2" ).

fof(sK817_sos_624_X793,fi_functors,
    sK817_sos_624_X793 = "2" ).

fof(sK818_sos_625_X794,fi_functors,
    sK818_sos_625_X794 = "2" ).

fof(sK819_sos_626_X795,fi_functors,
    sK819_sos_626_X795 = "2" ).

fof(sK820_sos_627_X796,fi_functors,
    sK820_sos_627_X796 = "2" ).

fof(sK821_sos_628_X797,fi_functors,
    sK821_sos_628_X797 = "1" ).

fof(sK822_sos_629_X798,fi_functors,
    sK822_sos_629_X798 = "2" ).

fof(sK823_sos_630_X799,fi_functors,
    sK823_sos_630_X799 = "2" ).

fof(sK824_sos_631_X800,fi_functors,
    sK824_sos_631_X800 = "2" ).

fof(sK825_sos_632_X801,fi_functors,
    sK825_sos_632_X801 = "2" ).

fof(sK826_sos_633_X802,fi_functors,
    sK826_sos_633_X802 = "2" ).

fof(sK827_sos_634_X803,fi_functors,
    sK827_sos_634_X803 = "2" ).

fof(sK828_sos_635_X804,fi_functors,
    sK828_sos_635_X804 = "2" ).

fof(sK829_sos_636_X805,fi_functors,
    sK829_sos_636_X805 = "3" ).

fof(sK830_sos_637_X806,fi_functors,
    sK830_sos_637_X806 = "3" ).

fof(sK831_sos_638_X807,fi_functors,
    sK831_sos_638_X807 = "2" ).

fof(sK832_sos_639_X808,fi_functors,
    sK832_sos_639_X808 = "2" ).

fof(sK833_sos_640_X809,fi_functors,
    sK833_sos_640_X809 = "2" ).

fof(sK834_sos_641_X810,fi_functors,
    sK834_sos_641_X810 = "2" ).

fof(sK835_sos_642_X811,fi_functors,
    sK835_sos_642_X811 = "3" ).

fof(sK836_sos_643_X812,fi_functors,
    sK836_sos_643_X812 = "2" ).

fof(sK837_sos_644_X813,fi_functors,
    sK837_sos_644_X813 = "2" ).

fof(sK838_sos_645_X814,fi_functors,
    sK838_sos_645_X814 = "3" ).

fof(sK839_sos_646_X815,fi_functors,
    sK839_sos_646_X815 = "2" ).

fof(sK840_sos_647_X816,fi_functors,
    sK840_sos_647_X816 = "2" ).

fof(sK841_sos_648_X817,fi_functors,
    sK841_sos_648_X817 = "3" ).

fof(sK842_sos_649_X818,fi_functors,
    sK842_sos_649_X818 = "2" ).

fof(sK843_sos_650_X819,fi_functors,
    sK843_sos_650_X819 = "2" ).

fof(sK844_sos_651_X820,fi_functors,
    sK844_sos_651_X820 = "2" ).

fof(sK845_sos_652_X821,fi_functors,
    sK845_sos_652_X821 = "2" ).

fof(sK846_sos_653_X822,fi_functors,
    sK846_sos_653_X822 = "2" ).

fof(sK847_sos_654_X823,fi_functors,
    sK847_sos_654_X823 = "2" ).

fof(sK848_sos_655_X824,fi_functors,
    sK848_sos_655_X824 = "2" ).

fof(sK849_sos_656_X825,fi_functors,
    sK849_sos_656_X825 = "2" ).

fof(sK850_sos_657_X826,fi_functors,
    sK850_sos_657_X826 = "2" ).

fof(sK851_sos_658_X827,fi_functors,
    sK851_sos_658_X827 = "2" ).

fof(sK852_sos_659_X828,fi_functors,
    sK852_sos_659_X828 = "2" ).

fof(sK853_sos_660_X829,fi_functors,
    sK853_sos_660_X829 = "2" ).

fof(sK854_sos_661_X830,fi_functors,
    sK854_sos_661_X830 = "2" ).

fof(sK855_sos_662_X831,fi_functors,
    sK855_sos_662_X831 = "2" ).

fof(sK856_sos_663_X832,fi_functors,
    sK856_sos_663_X832 = "2" ).

fof(sK857_sos_664_X833,fi_functors,
    sK857_sos_664_X833 = "1" ).

fof(sK858_sos_665_X834,fi_functors,
    sK858_sos_665_X834 = "2" ).

fof(sK859_sos_666_X835,fi_functors,
    sK859_sos_666_X835 = "2" ).

fof(sK860_sos_667_X836,fi_functors,
    sK860_sos_667_X836 = "2" ).

fof(sK861_sos_668_X837,fi_functors,
    sK861_sos_668_X837 = "1" ).

fof(sK862_sos_669_X838,fi_functors,
    sK862_sos_669_X838 = "2" ).

fof(sK863_sos_670_X839,fi_functors,
    sK863_sos_670_X839 = "2" ).

fof(sK864_sos_671_X840,fi_functors,
    sK864_sos_671_X840 = "2" ).

fof(sK865_sos_672_X841,fi_functors,
    sK865_sos_672_X841 = "2" ).

fof(sK866_sos_673_X842,fi_functors,
    sK866_sos_673_X842 = "2" ).

fof(sK867_sos_674_X843,fi_functors,
    sK867_sos_674_X843 = "2" ).

fof(sK868_sos_675_X844,fi_functors,
    sK868_sos_675_X844 = "1" ).

fof(sK869_sos_676_X845,fi_functors,
    sK869_sos_676_X845 = "1" ).

fof(sK870_sos_677_X846,fi_functors,
    sK870_sos_677_X846 = "1" ).

fof(sK871_sos_678_X847,fi_functors,
    sK871_sos_678_X847 = "2" ).

fof(sK872_sos_679_X848,fi_functors,
    sK872_sos_679_X848 = "1" ).

fof(sK873_sos_680_X849,fi_functors,
    sK873_sos_680_X849 = "2" ).

fof(sK874_sos_681_X850,fi_functors,
    sK874_sos_681_X850 = "2" ).

fof(sK877_sos_684_X853,fi_functors,
    sK877_sos_684_X853 = "2" ).

fof(sK878_sos_685_X854,fi_functors,
    sK878_sos_685_X854 = "1" ).

fof(sK879_sos_686_X855,fi_functors,
    sK879_sos_686_X855 = "2" ).

fof(sK880_sos_687_X856,fi_functors,
    sK880_sos_687_X856 = "1" ).

fof(sK881_sos_688_X857,fi_functors,
    sK881_sos_688_X857 = "2" ).

fof(sK882_sos_689_X858,fi_functors,
    sK882_sos_689_X858 = "2" ).

fof(sK883_sos_690_X859,fi_functors,
    sK883_sos_690_X859 = "1" ).

fof(sK884_sos_691_X860,fi_functors,
    sK884_sos_691_X860 = "2" ).

fof(sK887_sos_694_X863,fi_functors,
    sK887_sos_694_X863 = "2" ).

fof(sK888_sos_695_X864,fi_functors,
    sK888_sos_695_X864 = "2" ).

fof(sK889_sos_696_X865,fi_functors,
    sK889_sos_696_X865 = "2" ).

fof(sK890_sos_697_X866,fi_functors,
    sK890_sos_697_X866 = "2" ).

fof(sK891_sos_698_X867,fi_functors,
    sK891_sos_698_X867 = "2" ).

fof(sK893_sos_700_X869,fi_functors,
    sK893_sos_700_X869 = "2" ).

fof(sK894_sos_701_X870,fi_functors,
    sK894_sos_701_X870 = "2" ).

fof(sK895_sos_702_X871,fi_functors,
    sK895_sos_702_X871 = "2" ).

fof(sK896_sos_703_X872,fi_functors,
    sK896_sos_703_X872 = "2" ).

fof(sK897_sos_704_X873,fi_functors,
    sK897_sos_704_X873 = "2" ).

fof(sK898_sos_705_X874,fi_functors,
    sK898_sos_705_X874 = "2" ).

fof(sK899_sos_706_X875,fi_functors,
    sK899_sos_706_X875 = "2" ).

fof(sK900_sos_707_X876,fi_functors,
    sK900_sos_707_X876 = "2" ).

fof(sK901_sos_708_X877,fi_functors,
    sK901_sos_708_X877 = "2" ).

fof(sK902_sos_709_X878,fi_functors,
    sK902_sos_709_X878 = "2" ).

fof(sK903_sos_710_X879,fi_functors,
    sK903_sos_710_X879 = "2" ).

fof(sK904_sos_711_X880,fi_functors,
    sK904_sos_711_X880 = "2" ).

fof(sK905_sos_712_X881,fi_functors,
    sK905_sos_712_X881 = "2" ).

fof(sK906_sos_713_X882,fi_functors,
    sK906_sos_713_X882 = "2" ).

fof(sK907_sos_714_X883,fi_functors,
    sK907_sos_714_X883 = "2" ).

fof(sK908_sos_715_X884,fi_functors,
    sK908_sos_715_X884 = "2" ).

fof(sK910_sos_717_X886,fi_functors,
    sK910_sos_717_X886 = "2" ).

fof(sK915_sos_722_X891,fi_functors,
    sK915_sos_722_X891 = "2" ).

fof(sK917_sos_724_X893,fi_functors,
    sK917_sos_724_X893 = "2" ).

fof(sK918_sos_725_X894,fi_functors,
    sK918_sos_725_X894 = "2" ).

fof(sK919_sos_726_X895,fi_functors,
    sK919_sos_726_X895 = "3" ).

fof(sK920_sos_727_X896,fi_functors,
    sK920_sos_727_X896 = "2" ).

fof(sK921_sos_728_X897,fi_functors,
    sK921_sos_728_X897 = "2" ).

fof(sK922_sos_729_X898,fi_functors,
    sK922_sos_729_X898 = "2" ).

fof(sK923_sos_730_X899,fi_functors,
    sK923_sos_730_X899 = "2" ).

fof(sK924_sos_731_X900,fi_functors,
    sK924_sos_731_X900 = "2" ).

fof(sK925_sos_732_X901,fi_functors,
    sK925_sos_732_X901 = "2" ).

fof(sK928_sos_735_X904,fi_functors,
    sK928_sos_735_X904 = "2" ).

fof(sK929_sos_736_X905,fi_functors,
    sK929_sos_736_X905 = "2" ).

fof(sK930_sos_737_X906,fi_functors,
    sK930_sos_737_X906 = "2" ).

fof(sK932_sos_739_X908,fi_functors,
    sK932_sos_739_X908 = "2" ).

fof(sK933_sos_740_X909,fi_functors,
    sK933_sos_740_X909 = "2" ).

fof(sK934_sos_741_X910,fi_functors,
    sK934_sos_741_X910 = "2" ).

fof(sK935_sos_742_X911,fi_functors,
    sK935_sos_742_X911 = "2" ).

fof(sK936_sos_743_X912,fi_functors,
    sK936_sos_743_X912 = "2" ).

fof(sK939_sos_746_X915,fi_functors,
    sK939_sos_746_X915 = "2" ).

fof(sK940_sos_747_X916,fi_functors,
    sK940_sos_747_X916 = "2" ).

fof(sK941_sos_748_X917,fi_functors,
    sK941_sos_748_X917 = "2" ).

fof(sK942_sos_749_X918,fi_functors,
    sK942_sos_749_X918 = "3" ).

fof(sK943_sos_750_X919,fi_functors,
    sK943_sos_750_X919 = "2" ).

fof(sK946_sos_753_X922,fi_functors,
    sK946_sos_753_X922 = "2" ).

fof(sK947_sos_754_X923,fi_functors,
    sK947_sos_754_X923 = "2" ).

fof(sK949_sos_756_X925,fi_functors,
    sK949_sos_756_X925 = "2" ).

fof(sK950_sos_757_X926,fi_functors,
    sK950_sos_757_X926 = "2" ).

fof(sK951_sos_758_X927,fi_functors,
    sK951_sos_758_X927 = "2" ).

fof(sK952_sos_759_X928,fi_functors,
    sK952_sos_759_X928 = "2" ).

fof(sK953_sos_760_X929,fi_functors,
    sK953_sos_760_X929 = "2" ).

fof(sK954_sos_761_X930,fi_functors,
    sK954_sos_761_X930 = "2" ).

fof(sK955_sos_762_X931,fi_functors,
    sK955_sos_762_X931 = "2" ).

fof(sK956_sos_763_X932,fi_functors,
    sK956_sos_763_X932 = "2" ).

fof(sK957_sos_764_X933,fi_functors,
    sK957_sos_764_X933 = "2" ).

fof(sK958_sos_765_X934,fi_functors,
    sK958_sos_765_X934 = "2" ).

fof(sK959_sos_766_X935,fi_functors,
    sK959_sos_766_X935 = "2" ).

fof(sK960_sos_767_X936,fi_functors,
    sK960_sos_767_X936 = "2" ).

fof(sK961_sos_768_X937,fi_functors,
    sK961_sos_768_X937 = "2" ).

fof(sK962_sos_769_X938,fi_functors,
    sK962_sos_769_X938 = "2" ).

fof(sK964_sos_771_X940,fi_functors,
    sK964_sos_771_X940 = "2" ).

fof(sK965_sos_772_X941,fi_functors,
    sK965_sos_772_X941 = "2" ).

fof(sK966_sos_773_X942,fi_functors,
    sK966_sos_773_X942 = "2" ).

fof(sK967_sos_774_X943,fi_functors,
    sK967_sos_774_X943 = "2" ).

fof(sK968_sos_775_X944,fi_functors,
    sK968_sos_775_X944 = "2" ).

fof(sK969_sos_776_X945,fi_functors,
    sK969_sos_776_X945 = "2" ).

fof(sK970_sos_777_X946,fi_functors,
    sK970_sos_777_X946 = "2" ).

fof(sK971_sos_778_X947,fi_functors,
    sK971_sos_778_X947 = "2" ).

fof(sK973_sos_780_X949,fi_functors,
    sK973_sos_780_X949 = "2" ).

fof(sK974_sos_781_X950,fi_functors,
    sK974_sos_781_X950 = "2" ).

fof(sK975_sos_782_X951,fi_functors,
    sK975_sos_782_X951 = "2" ).

fof(sK977_sos_784_X953,fi_functors,
    sK977_sos_784_X953 = "2" ).

fof(sK979_sos_786_X955,fi_functors,
    sK979_sos_786_X955 = "3" ).

fof(sK980_sos_787_X956,fi_functors,
    sK980_sos_787_X956 = "2" ).

fof(sK981_sos_788_X957,fi_functors,
    sK981_sos_788_X957 = "2" ).

fof(sK982_sos_789_X958,fi_functors,
    sK982_sos_789_X958 = "2" ).

fof(sK983_sos_790_X959,fi_functors,
    sK983_sos_790_X959 = "2" ).

fof(sK984_sos_791_X960,fi_functors,
    sK984_sos_791_X960 = "2" ).

fof(sK985_sos_792_X961,fi_functors,
    sK985_sos_792_X961 = "2" ).

fof(sK986_sos_793_X962,fi_functors,
    sK986_sos_793_X962 = "2" ).

fof(sK988_sos_795_X964,fi_functors,
    sK988_sos_795_X964 = "2" ).

fof(sK989_sos_796_X965,fi_functors,
    sK989_sos_796_X965 = "2" ).

fof(sK990_sos_797_X966,fi_functors,
    sK990_sos_797_X966 = "2" ).

fof(sK991_sos_798_X967,fi_functors,
    sK991_sos_798_X967 = "2" ).

fof(sK992_sos_799_X968,fi_functors,
    sK992_sos_799_X968 = "2" ).

fof(sK993_sos_800_X969,fi_functors,
    sK993_sos_800_X969 = "2" ).

fof(sK994_sos_801_X970,fi_functors,
    sK994_sos_801_X970 = "2" ).

fof(sK996_sos_803_X972,fi_functors,
    sK996_sos_803_X972 = "2" ).

fof(sK997_sos_804_X973,fi_functors,
    sK997_sos_804_X973 = "2" ).

fof(sK998_sos_805_X974,fi_functors,
    sK998_sos_805_X974 = "2" ).

fof(sK999_sos_806_X975,fi_functors,
    sK999_sos_806_X975 = "3" ).

fof(sP362_sos_346_or,fi_predicates,
    ( sP362_sos_346_or
  <=> $true ) ).

fof(sP363_sos_346_or,fi_predicates,
    ( sP363_sos_346_or
  <=> $false ) ).

fof(sP408_sos_373_or,fi_predicates,
    ( sP408_sos_373_or
  <=> $true ) ).

fof(sP409_sos_373_or,fi_predicates,
    ( sP409_sos_373_or
  <=> $false ) ).

fof(sP418_sos_374_or,fi_predicates,
    ( sP418_sos_374_or
  <=> $false ) ).

fof(sP419_sos_374_or,fi_predicates,
    ( sP419_sos_374_or
  <=> $false ) ).

fof(sP431_sos_377_or,fi_predicates,
    ( sP431_sos_377_or
  <=> $true ) ).

fof(sP432_sos_377_or,fi_predicates,
    ( sP432_sos_377_or
  <=> $false ) ).

fof(sP441_sos_378_or,fi_predicates,
    ( sP441_sos_378_or
  <=> $true ) ).

fof(sP442_sos_378_or,fi_predicates,
    ( sP442_sos_378_or
  <=> $false ) ).

fof(sP451_sos_379_or,fi_predicates,
    ( sP451_sos_379_or
  <=> $false ) ).

fof(sP452_sos_379_or,fi_predicates,
    ( sP452_sos_379_or
  <=> $false ) ).

fof(sP463_sos_381_or,fi_predicates,
    ( sP463_sos_381_or
  <=> $false ) ).

fof(sP464_sos_381_or,fi_predicates,
    ( sP464_sos_381_or
  <=> $false ) ).

fof(sP502_sos_402_or,fi_predicates,
    ( sP502_sos_402_or
  <=> $false ) ).

fof(sP503_sos_402_or,fi_predicates,
    ( sP503_sos_402_or
  <=> $false ) ).

fof(sP512_sos_403_or,fi_predicates,
    ( sP512_sos_403_or
  <=> $false ) ).

fof(sP513_sos_403_or,fi_predicates,
    ( sP513_sos_403_or
  <=> $false ) ).

fof(sP546_sos_420_or,fi_predicates,
    ( sP546_sos_420_or
  <=> $false ) ).

fof(sP547_sos_420_or,fi_predicates,
    ( sP547_sos_420_or
  <=> $false ) ).

fof(sP588_sos_442_or,fi_predicates,
    ( sP588_sos_442_or
  <=> $false ) ).

fof(sP589_sos_442_or,fi_predicates,
    ( sP589_sos_442_or
  <=> $false ) ).

fof(sP706_sos_522_or,fi_predicates,
    ( sP706_sos_522_or
  <=> $true ) ).

fof(sP707_sos_522_or,fi_predicates,
    ( sP707_sos_522_or
  <=> $false ) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.11  % Problem  : SYO581+1 : TPTP v8.1.0. Released v5.5.0.
% 0.03/0.12  % Command  : paradox --no-progress --time %d --tstp --model %s
% 0.11/0.33  % Computer : n018.cluster.edu
% 0.11/0.33  % Model    : x86_64 x86_64
% 0.11/0.33  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.33  % Memory   : 8042.1875MB
% 0.11/0.33  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.11/0.33  % CPULimit : 300
% 0.11/0.33  % WCLimit  : 600
% 0.11/0.33  % DateTime : Fri Jul  8 23:00:41 EDT 2022
% 0.11/0.33  % CPUTime  : 
% 0.11/0.33  Paradox, version 4.0, 2010-06-29.
% 0.11/0.33  +++ PROBLEM: /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.11/0.33  Reading '/export/starexec/sandbox2/benchmark/theBenchmark.p' ... OK
% 0.18/0.50  +++ SOLVING: /export/starexec/sandbox2/benchmark/theBenchmark.p
% 55.25/55.38  +++ BEGIN MODEL
% 55.25/55.38  SZS output start FiniteModel for /export/starexec/sandbox2/benchmark/theBenchmark.p
% See solution above
% 55.28/55.40  +++ END MODEL
% 55.28/55.40  +++ RESULT: CounterSatisfiable
% 55.28/55.40  SZS status CounterSatisfiable for /export/starexec/sandbox2/benchmark/theBenchmark.p
%------------------------------------------------------------------------------