TSTP Solution File: PRO007+1 by Paradox---4.0

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Paradox---4.0
% Problem  : PRO007+1 : TPTP v8.1.0. Released v4.0.0.
% Transfm  : none
% Format   : tptp:short
% Command  : paradox --no-progress --time %d --tstp --model %s

% Computer : n026.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 : Mon Jul 18 17:51:36 EDT 2022

% Result   : CounterSatisfiable 0.20s 0.51s
% Output   : FiniteModel 0.20s
% Verified : 
% SZS Type : FiniteModel
%            Domain size           :    6

% Comments : 
%------------------------------------------------------------------------------
% domain size is 6
fof(domain,fi_domain,
    ! [X] :
      ( X = "1"
      | X = "2"
      | X = "3"
      | X = "4"
      | X = "5"
      | X = "6" ) ).

fof(activity,fi_predicates,
    ( ( activity("1")
    <=> $true )
    & ( activity("2")
    <=> $true )
    & ( activity("3")
    <=> $true )
    & ( activity("4")
    <=> $true )
    & ( activity("5")
    <=> $true )
    & ( activity("6")
    <=> $true ) ) ).

fof(activity_occurrence,fi_predicates,
    ( ( activity_occurrence("1")
    <=> $true )
    & ( activity_occurrence("2")
    <=> $true )
    & ( activity_occurrence("3")
    <=> $true )
    & ( activity_occurrence("4")
    <=> $true )
    & ( activity_occurrence("5")
    <=> $true )
    & ( activity_occurrence("6")
    <=> $true ) ) ).

fof(arboreal,fi_predicates,
    ( ( arboreal("1")
    <=> $false )
    & ( arboreal("2")
    <=> $true )
    & ( arboreal("3")
    <=> $true )
    & ( arboreal("4")
    <=> $true )
    & ( arboreal("5")
    <=> $true )
    & ( arboreal("6")
    <=> $false ) ) ).

fof(atocc,fi_predicates,
    ( ( atocc("1","1")
    <=> $false )
    & ( atocc("1","2")
    <=> $false )
    & ( atocc("1","3")
    <=> $false )
    & ( atocc("1","4")
    <=> $false )
    & ( atocc("1","5")
    <=> $false )
    & ( atocc("1","6")
    <=> $false )
    & ( atocc("2","1")
    <=> $false )
    & ( atocc("2","2")
    <=> $true )
    & ( atocc("2","3")
    <=> $true )
    & ( atocc("2","4")
    <=> $true )
    & ( atocc("2","5")
    <=> $false )
    & ( atocc("2","6")
    <=> $false )
    & ( atocc("3","1")
    <=> $false )
    & ( atocc("3","2")
    <=> $true )
    & ( atocc("3","3")
    <=> $true )
    & ( atocc("3","4")
    <=> $false )
    & ( atocc("3","5")
    <=> $false )
    & ( atocc("3","6")
    <=> $false )
    & ( atocc("4","1")
    <=> $false )
    & ( atocc("4","2")
    <=> $false )
    & ( atocc("4","3")
    <=> $true )
    & ( atocc("4","4")
    <=> $false )
    & ( atocc("4","5")
    <=> $true )
    & ( atocc("4","6")
    <=> $false )
    & ( atocc("5","1")
    <=> $false )
    & ( atocc("5","2")
    <=> $true )
    & ( atocc("5","3")
    <=> $false )
    & ( atocc("5","4")
    <=> $true )
    & ( atocc("5","5")
    <=> $true )
    & ( atocc("5","6")
    <=> $true )
    & ( atocc("6","1")
    <=> $false )
    & ( atocc("6","2")
    <=> $false )
    & ( atocc("6","3")
    <=> $false )
    & ( atocc("6","4")
    <=> $false )
    & ( atocc("6","5")
    <=> $false )
    & ( atocc("6","6")
    <=> $false ) ) ).

fof(atomic,fi_predicates,
    ( ( atomic("1")
    <=> $false )
    & ( atomic("2")
    <=> $true )
    & ( atomic("3")
    <=> $true )
    & ( atomic("4")
    <=> $true )
    & ( atomic("5")
    <=> $true )
    & ( atomic("6")
    <=> $true ) ) ).

fof(earlier,fi_predicates,
    ( ( earlier("1","1")
    <=> $false )
    & ( earlier("1","2")
    <=> $false )
    & ( earlier("1","3")
    <=> $false )
    & ( earlier("1","4")
    <=> $false )
    & ( earlier("1","5")
    <=> $false )
    & ( earlier("1","6")
    <=> $false )
    & ( earlier("2","1")
    <=> $false )
    & ( earlier("2","2")
    <=> $false )
    & ( earlier("2","3")
    <=> $false )
    & ( earlier("2","4")
    <=> $false )
    & ( earlier("2","5")
    <=> $false )
    & ( earlier("2","6")
    <=> $false )
    & ( earlier("3","1")
    <=> $false )
    & ( earlier("3","2")
    <=> $false )
    & ( earlier("3","3")
    <=> $false )
    & ( earlier("3","4")
    <=> $false )
    & ( earlier("3","5")
    <=> $false )
    & ( earlier("3","6")
    <=> $false )
    & ( earlier("4","1")
    <=> $false )
    & ( earlier("4","2")
    <=> $true )
    & ( earlier("4","3")
    <=> $true )
    & ( earlier("4","4")
    <=> $false )
    & ( earlier("4","5")
    <=> $false )
    & ( earlier("4","6")
    <=> $false )
    & ( earlier("5","1")
    <=> $false )
    & ( earlier("5","2")
    <=> $true )
    & ( earlier("5","3")
    <=> $true )
    & ( earlier("5","4")
    <=> $true )
    & ( earlier("5","5")
    <=> $false )
    & ( earlier("5","6")
    <=> $true )
    & ( earlier("6","1")
    <=> $false )
    & ( earlier("6","2")
    <=> $false )
    & ( earlier("6","3")
    <=> $false )
    & ( earlier("6","4")
    <=> $false )
    & ( earlier("6","5")
    <=> $false )
    & ( earlier("6","6")
    <=> $false ) ) ).

fof(leaf,fi_predicates,
    ( ( leaf("1","1")
    <=> $false )
    & ( leaf("1","2")
    <=> $false )
    & ( leaf("1","3")
    <=> $false )
    & ( leaf("1","4")
    <=> $false )
    & ( leaf("1","5")
    <=> $false )
    & ( leaf("1","6")
    <=> $false )
    & ( leaf("2","1")
    <=> $true )
    & ( leaf("2","2")
    <=> $true )
    & ( leaf("2","3")
    <=> $true )
    & ( leaf("2","4")
    <=> $true )
    & ( leaf("2","5")
    <=> $false )
    & ( leaf("2","6")
    <=> $false )
    & ( leaf("3","1")
    <=> $true )
    & ( leaf("3","2")
    <=> $true )
    & ( leaf("3","3")
    <=> $true )
    & ( leaf("3","4")
    <=> $false )
    & ( leaf("3","5")
    <=> $true )
    & ( leaf("3","6")
    <=> $false )
    & ( leaf("4","1")
    <=> $false )
    & ( leaf("4","2")
    <=> $false )
    & ( leaf("4","3")
    <=> $true )
    & ( leaf("4","4")
    <=> $true )
    & ( leaf("4","5")
    <=> $true )
    & ( leaf("4","6")
    <=> $false )
    & ( leaf("5","1")
    <=> $false )
    & ( leaf("5","2")
    <=> $true )
    & ( leaf("5","3")
    <=> $true )
    & ( leaf("5","4")
    <=> $true )
    & ( leaf("5","5")
    <=> $true )
    & ( leaf("5","6")
    <=> $true )
    & ( leaf("6","1")
    <=> $false )
    & ( leaf("6","2")
    <=> $false )
    & ( leaf("6","3")
    <=> $false )
    & ( leaf("6","4")
    <=> $false )
    & ( leaf("6","5")
    <=> $false )
    & ( leaf("6","6")
    <=> $false ) ) ).

fof(leaf_occ,fi_predicates,
    ( ( leaf_occ("1","1")
    <=> $false )
    & ( leaf_occ("1","2")
    <=> $false )
    & ( leaf_occ("1","3")
    <=> $false )
    & ( leaf_occ("1","4")
    <=> $false )
    & ( leaf_occ("1","5")
    <=> $false )
    & ( leaf_occ("1","6")
    <=> $false )
    & ( leaf_occ("2","1")
    <=> $true )
    & ( leaf_occ("2","2")
    <=> $true )
    & ( leaf_occ("2","3")
    <=> $false )
    & ( leaf_occ("2","4")
    <=> $false )
    & ( leaf_occ("2","5")
    <=> $false )
    & ( leaf_occ("2","6")
    <=> $false )
    & ( leaf_occ("3","1")
    <=> $false )
    & ( leaf_occ("3","2")
    <=> $false )
    & ( leaf_occ("3","3")
    <=> $true )
    & ( leaf_occ("3","4")
    <=> $false )
    & ( leaf_occ("3","5")
    <=> $false )
    & ( leaf_occ("3","6")
    <=> $true )
    & ( leaf_occ("4","1")
    <=> $false )
    & ( leaf_occ("4","2")
    <=> $false )
    & ( leaf_occ("4","3")
    <=> $false )
    & ( leaf_occ("4","4")
    <=> $true )
    & ( leaf_occ("4","5")
    <=> $false )
    & ( leaf_occ("4","6")
    <=> $false )
    & ( leaf_occ("5","1")
    <=> $false )
    & ( leaf_occ("5","2")
    <=> $false )
    & ( leaf_occ("5","3")
    <=> $false )
    & ( leaf_occ("5","4")
    <=> $false )
    & ( leaf_occ("5","5")
    <=> $true )
    & ( leaf_occ("5","6")
    <=> $false )
    & ( leaf_occ("6","1")
    <=> $false )
    & ( leaf_occ("6","2")
    <=> $false )
    & ( leaf_occ("6","3")
    <=> $false )
    & ( leaf_occ("6","4")
    <=> $false )
    & ( leaf_occ("6","5")
    <=> $false )
    & ( leaf_occ("6","6")
    <=> $false ) ) ).

fof(legal,fi_predicates,
    ( ( legal("1")
    <=> $false )
    & ( legal("2")
    <=> $true )
    & ( legal("3")
    <=> $true )
    & ( legal("4")
    <=> $true )
    & ( legal("5")
    <=> $true )
    & ( legal("6")
    <=> $false ) ) ).

fof(min_precedes,fi_predicates,
    ( ( min_precedes("1","1","1")
    <=> $false )
    & ( min_precedes("1","1","2")
    <=> $false )
    & ( min_precedes("1","1","3")
    <=> $false )
    & ( min_precedes("1","1","4")
    <=> $false )
    & ( min_precedes("1","1","5")
    <=> $false )
    & ( min_precedes("1","1","6")
    <=> $false )
    & ( min_precedes("1","2","1")
    <=> $false )
    & ( min_precedes("1","2","2")
    <=> $false )
    & ( min_precedes("1","2","3")
    <=> $false )
    & ( min_precedes("1","2","4")
    <=> $false )
    & ( min_precedes("1","2","5")
    <=> $false )
    & ( min_precedes("1","2","6")
    <=> $false )
    & ( min_precedes("1","3","1")
    <=> $false )
    & ( min_precedes("1","3","2")
    <=> $false )
    & ( min_precedes("1","3","3")
    <=> $false )
    & ( min_precedes("1","3","4")
    <=> $false )
    & ( min_precedes("1","3","5")
    <=> $false )
    & ( min_precedes("1","3","6")
    <=> $false )
    & ( min_precedes("1","4","1")
    <=> $false )
    & ( min_precedes("1","4","2")
    <=> $false )
    & ( min_precedes("1","4","3")
    <=> $false )
    & ( min_precedes("1","4","4")
    <=> $false )
    & ( min_precedes("1","4","5")
    <=> $false )
    & ( min_precedes("1","4","6")
    <=> $false )
    & ( min_precedes("1","5","1")
    <=> $false )
    & ( min_precedes("1","5","2")
    <=> $false )
    & ( min_precedes("1","5","3")
    <=> $false )
    & ( min_precedes("1","5","4")
    <=> $false )
    & ( min_precedes("1","5","5")
    <=> $false )
    & ( min_precedes("1","5","6")
    <=> $false )
    & ( min_precedes("1","6","1")
    <=> $false )
    & ( min_precedes("1","6","2")
    <=> $false )
    & ( min_precedes("1","6","3")
    <=> $false )
    & ( min_precedes("1","6","4")
    <=> $false )
    & ( min_precedes("1","6","5")
    <=> $false )
    & ( min_precedes("1","6","6")
    <=> $false )
    & ( min_precedes("2","1","1")
    <=> $false )
    & ( min_precedes("2","1","2")
    <=> $false )
    & ( min_precedes("2","1","3")
    <=> $false )
    & ( min_precedes("2","1","4")
    <=> $false )
    & ( min_precedes("2","1","5")
    <=> $false )
    & ( min_precedes("2","1","6")
    <=> $false )
    & ( min_precedes("2","2","1")
    <=> $false )
    & ( min_precedes("2","2","2")
    <=> $false )
    & ( min_precedes("2","2","3")
    <=> $false )
    & ( min_precedes("2","2","4")
    <=> $false )
    & ( min_precedes("2","2","5")
    <=> $false )
    & ( min_precedes("2","2","6")
    <=> $false )
    & ( min_precedes("2","3","1")
    <=> $false )
    & ( min_precedes("2","3","2")
    <=> $false )
    & ( min_precedes("2","3","3")
    <=> $false )
    & ( min_precedes("2","3","4")
    <=> $false )
    & ( min_precedes("2","3","5")
    <=> $false )
    & ( min_precedes("2","3","6")
    <=> $false )
    & ( min_precedes("2","4","1")
    <=> $false )
    & ( min_precedes("2","4","2")
    <=> $false )
    & ( min_precedes("2","4","3")
    <=> $false )
    & ( min_precedes("2","4","4")
    <=> $false )
    & ( min_precedes("2","4","5")
    <=> $false )
    & ( min_precedes("2","4","6")
    <=> $false )
    & ( min_precedes("2","5","1")
    <=> $false )
    & ( min_precedes("2","5","2")
    <=> $false )
    & ( min_precedes("2","5","3")
    <=> $false )
    & ( min_precedes("2","5","4")
    <=> $false )
    & ( min_precedes("2","5","5")
    <=> $false )
    & ( min_precedes("2","5","6")
    <=> $false )
    & ( min_precedes("2","6","1")
    <=> $false )
    & ( min_precedes("2","6","2")
    <=> $false )
    & ( min_precedes("2","6","3")
    <=> $false )
    & ( min_precedes("2","6","4")
    <=> $false )
    & ( min_precedes("2","6","5")
    <=> $false )
    & ( min_precedes("2","6","6")
    <=> $false )
    & ( min_precedes("3","1","1")
    <=> $false )
    & ( min_precedes("3","1","2")
    <=> $false )
    & ( min_precedes("3","1","3")
    <=> $false )
    & ( min_precedes("3","1","4")
    <=> $false )
    & ( min_precedes("3","1","5")
    <=> $false )
    & ( min_precedes("3","1","6")
    <=> $false )
    & ( min_precedes("3","2","1")
    <=> $false )
    & ( min_precedes("3","2","2")
    <=> $false )
    & ( min_precedes("3","2","3")
    <=> $false )
    & ( min_precedes("3","2","4")
    <=> $false )
    & ( min_precedes("3","2","5")
    <=> $false )
    & ( min_precedes("3","2","6")
    <=> $false )
    & ( min_precedes("3","3","1")
    <=> $false )
    & ( min_precedes("3","3","2")
    <=> $false )
    & ( min_precedes("3","3","3")
    <=> $false )
    & ( min_precedes("3","3","4")
    <=> $false )
    & ( min_precedes("3","3","5")
    <=> $false )
    & ( min_precedes("3","3","6")
    <=> $false )
    & ( min_precedes("3","4","1")
    <=> $false )
    & ( min_precedes("3","4","2")
    <=> $false )
    & ( min_precedes("3","4","3")
    <=> $false )
    & ( min_precedes("3","4","4")
    <=> $false )
    & ( min_precedes("3","4","5")
    <=> $false )
    & ( min_precedes("3","4","6")
    <=> $false )
    & ( min_precedes("3","5","1")
    <=> $false )
    & ( min_precedes("3","5","2")
    <=> $false )
    & ( min_precedes("3","5","3")
    <=> $false )
    & ( min_precedes("3","5","4")
    <=> $false )
    & ( min_precedes("3","5","5")
    <=> $false )
    & ( min_precedes("3","5","6")
    <=> $false )
    & ( min_precedes("3","6","1")
    <=> $false )
    & ( min_precedes("3","6","2")
    <=> $false )
    & ( min_precedes("3","6","3")
    <=> $false )
    & ( min_precedes("3","6","4")
    <=> $false )
    & ( min_precedes("3","6","5")
    <=> $false )
    & ( min_precedes("3","6","6")
    <=> $false )
    & ( min_precedes("4","1","1")
    <=> $false )
    & ( min_precedes("4","1","2")
    <=> $false )
    & ( min_precedes("4","1","3")
    <=> $false )
    & ( min_precedes("4","1","4")
    <=> $false )
    & ( min_precedes("4","1","5")
    <=> $false )
    & ( min_precedes("4","1","6")
    <=> $false )
    & ( min_precedes("4","2","1")
    <=> $true )
    & ( min_precedes("4","2","2")
    <=> $false )
    & ( min_precedes("4","2","3")
    <=> $false )
    & ( min_precedes("4","2","4")
    <=> $false )
    & ( min_precedes("4","2","5")
    <=> $false )
    & ( min_precedes("4","2","6")
    <=> $false )
    & ( min_precedes("4","3","1")
    <=> $true )
    & ( min_precedes("4","3","2")
    <=> $false )
    & ( min_precedes("4","3","3")
    <=> $false )
    & ( min_precedes("4","3","4")
    <=> $false )
    & ( min_precedes("4","3","5")
    <=> $false )
    & ( min_precedes("4","3","6")
    <=> $false )
    & ( min_precedes("4","4","1")
    <=> $false )
    & ( min_precedes("4","4","2")
    <=> $false )
    & ( min_precedes("4","4","3")
    <=> $false )
    & ( min_precedes("4","4","4")
    <=> $false )
    & ( min_precedes("4","4","5")
    <=> $false )
    & ( min_precedes("4","4","6")
    <=> $false )
    & ( min_precedes("4","5","1")
    <=> $false )
    & ( min_precedes("4","5","2")
    <=> $false )
    & ( min_precedes("4","5","3")
    <=> $false )
    & ( min_precedes("4","5","4")
    <=> $false )
    & ( min_precedes("4","5","5")
    <=> $false )
    & ( min_precedes("4","5","6")
    <=> $false )
    & ( min_precedes("4","6","1")
    <=> $false )
    & ( min_precedes("4","6","2")
    <=> $false )
    & ( min_precedes("4","6","3")
    <=> $false )
    & ( min_precedes("4","6","4")
    <=> $false )
    & ( min_precedes("4","6","5")
    <=> $false )
    & ( min_precedes("4","6","6")
    <=> $false )
    & ( min_precedes("5","1","1")
    <=> $false )
    & ( min_precedes("5","1","2")
    <=> $false )
    & ( min_precedes("5","1","3")
    <=> $false )
    & ( min_precedes("5","1","4")
    <=> $false )
    & ( min_precedes("5","1","5")
    <=> $false )
    & ( min_precedes("5","1","6")
    <=> $false )
    & ( min_precedes("5","2","1")
    <=> $true )
    & ( min_precedes("5","2","2")
    <=> $false )
    & ( min_precedes("5","2","3")
    <=> $false )
    & ( min_precedes("5","2","4")
    <=> $false )
    & ( min_precedes("5","2","5")
    <=> $false )
    & ( min_precedes("5","2","6")
    <=> $false )
    & ( min_precedes("5","3","1")
    <=> $true )
    & ( min_precedes("5","3","2")
    <=> $false )
    & ( min_precedes("5","3","3")
    <=> $false )
    & ( min_precedes("5","3","4")
    <=> $false )
    & ( min_precedes("5","3","5")
    <=> $false )
    & ( min_precedes("5","3","6")
    <=> $false )
    & ( min_precedes("5","4","1")
    <=> $true )
    & ( min_precedes("5","4","2")
    <=> $false )
    & ( min_precedes("5","4","3")
    <=> $false )
    & ( min_precedes("5","4","4")
    <=> $false )
    & ( min_precedes("5","4","5")
    <=> $false )
    & ( min_precedes("5","4","6")
    <=> $false )
    & ( min_precedes("5","5","1")
    <=> $false )
    & ( min_precedes("5","5","2")
    <=> $false )
    & ( min_precedes("5","5","3")
    <=> $false )
    & ( min_precedes("5","5","4")
    <=> $false )
    & ( min_precedes("5","5","5")
    <=> $false )
    & ( min_precedes("5","5","6")
    <=> $false )
    & ( min_precedes("5","6","1")
    <=> $false )
    & ( min_precedes("5","6","2")
    <=> $false )
    & ( min_precedes("5","6","3")
    <=> $false )
    & ( min_precedes("5","6","4")
    <=> $false )
    & ( min_precedes("5","6","5")
    <=> $false )
    & ( min_precedes("5","6","6")
    <=> $false )
    & ( min_precedes("6","1","1")
    <=> $false )
    & ( min_precedes("6","1","2")
    <=> $false )
    & ( min_precedes("6","1","3")
    <=> $false )
    & ( min_precedes("6","1","4")
    <=> $false )
    & ( min_precedes("6","1","5")
    <=> $false )
    & ( min_precedes("6","1","6")
    <=> $false )
    & ( min_precedes("6","2","1")
    <=> $false )
    & ( min_precedes("6","2","2")
    <=> $false )
    & ( min_precedes("6","2","3")
    <=> $false )
    & ( min_precedes("6","2","4")
    <=> $false )
    & ( min_precedes("6","2","5")
    <=> $false )
    & ( min_precedes("6","2","6")
    <=> $false )
    & ( min_precedes("6","3","1")
    <=> $false )
    & ( min_precedes("6","3","2")
    <=> $false )
    & ( min_precedes("6","3","3")
    <=> $false )
    & ( min_precedes("6","3","4")
    <=> $false )
    & ( min_precedes("6","3","5")
    <=> $false )
    & ( min_precedes("6","3","6")
    <=> $false )
    & ( min_precedes("6","4","1")
    <=> $false )
    & ( min_precedes("6","4","2")
    <=> $false )
    & ( min_precedes("6","4","3")
    <=> $false )
    & ( min_precedes("6","4","4")
    <=> $false )
    & ( min_precedes("6","4","5")
    <=> $false )
    & ( min_precedes("6","4","6")
    <=> $false )
    & ( min_precedes("6","5","1")
    <=> $false )
    & ( min_precedes("6","5","2")
    <=> $false )
    & ( min_precedes("6","5","3")
    <=> $false )
    & ( min_precedes("6","5","4")
    <=> $false )
    & ( min_precedes("6","5","5")
    <=> $false )
    & ( min_precedes("6","5","6")
    <=> $false )
    & ( min_precedes("6","6","1")
    <=> $false )
    & ( min_precedes("6","6","2")
    <=> $false )
    & ( min_precedes("6","6","3")
    <=> $false )
    & ( min_precedes("6","6","4")
    <=> $false )
    & ( min_precedes("6","6","5")
    <=> $false )
    & ( min_precedes("6","6","6")
    <=> $false ) ) ).

fof(next_subocc,fi_predicates,
    ( ( next_subocc("1","1","1")
    <=> $false )
    & ( next_subocc("1","1","2")
    <=> $false )
    & ( next_subocc("1","1","3")
    <=> $false )
    & ( next_subocc("1","1","4")
    <=> $false )
    & ( next_subocc("1","1","5")
    <=> $false )
    & ( next_subocc("1","1","6")
    <=> $false )
    & ( next_subocc("1","2","1")
    <=> $false )
    & ( next_subocc("1","2","2")
    <=> $false )
    & ( next_subocc("1","2","3")
    <=> $false )
    & ( next_subocc("1","2","4")
    <=> $false )
    & ( next_subocc("1","2","5")
    <=> $false )
    & ( next_subocc("1","2","6")
    <=> $false )
    & ( next_subocc("1","3","1")
    <=> $false )
    & ( next_subocc("1","3","2")
    <=> $false )
    & ( next_subocc("1","3","3")
    <=> $false )
    & ( next_subocc("1","3","4")
    <=> $false )
    & ( next_subocc("1","3","5")
    <=> $false )
    & ( next_subocc("1","3","6")
    <=> $false )
    & ( next_subocc("1","4","1")
    <=> $false )
    & ( next_subocc("1","4","2")
    <=> $false )
    & ( next_subocc("1","4","3")
    <=> $false )
    & ( next_subocc("1","4","4")
    <=> $false )
    & ( next_subocc("1","4","5")
    <=> $false )
    & ( next_subocc("1","4","6")
    <=> $false )
    & ( next_subocc("1","5","1")
    <=> $false )
    & ( next_subocc("1","5","2")
    <=> $false )
    & ( next_subocc("1","5","3")
    <=> $false )
    & ( next_subocc("1","5","4")
    <=> $false )
    & ( next_subocc("1","5","5")
    <=> $false )
    & ( next_subocc("1","5","6")
    <=> $false )
    & ( next_subocc("1","6","1")
    <=> $false )
    & ( next_subocc("1","6","2")
    <=> $false )
    & ( next_subocc("1","6","3")
    <=> $false )
    & ( next_subocc("1","6","4")
    <=> $false )
    & ( next_subocc("1","6","5")
    <=> $false )
    & ( next_subocc("1","6","6")
    <=> $false )
    & ( next_subocc("2","1","1")
    <=> $false )
    & ( next_subocc("2","1","2")
    <=> $false )
    & ( next_subocc("2","1","3")
    <=> $false )
    & ( next_subocc("2","1","4")
    <=> $false )
    & ( next_subocc("2","1","5")
    <=> $false )
    & ( next_subocc("2","1","6")
    <=> $false )
    & ( next_subocc("2","2","1")
    <=> $false )
    & ( next_subocc("2","2","2")
    <=> $false )
    & ( next_subocc("2","2","3")
    <=> $false )
    & ( next_subocc("2","2","4")
    <=> $false )
    & ( next_subocc("2","2","5")
    <=> $false )
    & ( next_subocc("2","2","6")
    <=> $false )
    & ( next_subocc("2","3","1")
    <=> $false )
    & ( next_subocc("2","3","2")
    <=> $false )
    & ( next_subocc("2","3","3")
    <=> $false )
    & ( next_subocc("2","3","4")
    <=> $false )
    & ( next_subocc("2","3","5")
    <=> $false )
    & ( next_subocc("2","3","6")
    <=> $false )
    & ( next_subocc("2","4","1")
    <=> $false )
    & ( next_subocc("2","4","2")
    <=> $false )
    & ( next_subocc("2","4","3")
    <=> $false )
    & ( next_subocc("2","4","4")
    <=> $false )
    & ( next_subocc("2","4","5")
    <=> $false )
    & ( next_subocc("2","4","6")
    <=> $false )
    & ( next_subocc("2","5","1")
    <=> $false )
    & ( next_subocc("2","5","2")
    <=> $false )
    & ( next_subocc("2","5","3")
    <=> $false )
    & ( next_subocc("2","5","4")
    <=> $false )
    & ( next_subocc("2","5","5")
    <=> $false )
    & ( next_subocc("2","5","6")
    <=> $false )
    & ( next_subocc("2","6","1")
    <=> $false )
    & ( next_subocc("2","6","2")
    <=> $false )
    & ( next_subocc("2","6","3")
    <=> $false )
    & ( next_subocc("2","6","4")
    <=> $false )
    & ( next_subocc("2","6","5")
    <=> $false )
    & ( next_subocc("2","6","6")
    <=> $false )
    & ( next_subocc("3","1","1")
    <=> $false )
    & ( next_subocc("3","1","2")
    <=> $false )
    & ( next_subocc("3","1","3")
    <=> $false )
    & ( next_subocc("3","1","4")
    <=> $false )
    & ( next_subocc("3","1","5")
    <=> $false )
    & ( next_subocc("3","1","6")
    <=> $false )
    & ( next_subocc("3","2","1")
    <=> $false )
    & ( next_subocc("3","2","2")
    <=> $false )
    & ( next_subocc("3","2","3")
    <=> $false )
    & ( next_subocc("3","2","4")
    <=> $false )
    & ( next_subocc("3","2","5")
    <=> $false )
    & ( next_subocc("3","2","6")
    <=> $false )
    & ( next_subocc("3","3","1")
    <=> $false )
    & ( next_subocc("3","3","2")
    <=> $false )
    & ( next_subocc("3","3","3")
    <=> $false )
    & ( next_subocc("3","3","4")
    <=> $false )
    & ( next_subocc("3","3","5")
    <=> $false )
    & ( next_subocc("3","3","6")
    <=> $false )
    & ( next_subocc("3","4","1")
    <=> $false )
    & ( next_subocc("3","4","2")
    <=> $false )
    & ( next_subocc("3","4","3")
    <=> $false )
    & ( next_subocc("3","4","4")
    <=> $false )
    & ( next_subocc("3","4","5")
    <=> $false )
    & ( next_subocc("3","4","6")
    <=> $false )
    & ( next_subocc("3","5","1")
    <=> $false )
    & ( next_subocc("3","5","2")
    <=> $false )
    & ( next_subocc("3","5","3")
    <=> $false )
    & ( next_subocc("3","5","4")
    <=> $false )
    & ( next_subocc("3","5","5")
    <=> $false )
    & ( next_subocc("3","5","6")
    <=> $false )
    & ( next_subocc("3","6","1")
    <=> $false )
    & ( next_subocc("3","6","2")
    <=> $false )
    & ( next_subocc("3","6","3")
    <=> $false )
    & ( next_subocc("3","6","4")
    <=> $false )
    & ( next_subocc("3","6","5")
    <=> $false )
    & ( next_subocc("3","6","6")
    <=> $false )
    & ( next_subocc("4","1","1")
    <=> $false )
    & ( next_subocc("4","1","2")
    <=> $false )
    & ( next_subocc("4","1","3")
    <=> $false )
    & ( next_subocc("4","1","4")
    <=> $false )
    & ( next_subocc("4","1","5")
    <=> $false )
    & ( next_subocc("4","1","6")
    <=> $false )
    & ( next_subocc("4","2","1")
    <=> $true )
    & ( next_subocc("4","2","2")
    <=> $false )
    & ( next_subocc("4","2","3")
    <=> $false )
    & ( next_subocc("4","2","4")
    <=> $false )
    & ( next_subocc("4","2","5")
    <=> $false )
    & ( next_subocc("4","2","6")
    <=> $false )
    & ( next_subocc("4","3","1")
    <=> $true )
    & ( next_subocc("4","3","2")
    <=> $false )
    & ( next_subocc("4","3","3")
    <=> $false )
    & ( next_subocc("4","3","4")
    <=> $false )
    & ( next_subocc("4","3","5")
    <=> $false )
    & ( next_subocc("4","3","6")
    <=> $false )
    & ( next_subocc("4","4","1")
    <=> $false )
    & ( next_subocc("4","4","2")
    <=> $false )
    & ( next_subocc("4","4","3")
    <=> $false )
    & ( next_subocc("4","4","4")
    <=> $false )
    & ( next_subocc("4","4","5")
    <=> $false )
    & ( next_subocc("4","4","6")
    <=> $false )
    & ( next_subocc("4","5","1")
    <=> $false )
    & ( next_subocc("4","5","2")
    <=> $false )
    & ( next_subocc("4","5","3")
    <=> $false )
    & ( next_subocc("4","5","4")
    <=> $false )
    & ( next_subocc("4","5","5")
    <=> $false )
    & ( next_subocc("4","5","6")
    <=> $false )
    & ( next_subocc("4","6","1")
    <=> $false )
    & ( next_subocc("4","6","2")
    <=> $false )
    & ( next_subocc("4","6","3")
    <=> $false )
    & ( next_subocc("4","6","4")
    <=> $false )
    & ( next_subocc("4","6","5")
    <=> $false )
    & ( next_subocc("4","6","6")
    <=> $false )
    & ( next_subocc("5","1","1")
    <=> $false )
    & ( next_subocc("5","1","2")
    <=> $false )
    & ( next_subocc("5","1","3")
    <=> $false )
    & ( next_subocc("5","1","4")
    <=> $false )
    & ( next_subocc("5","1","5")
    <=> $false )
    & ( next_subocc("5","1","6")
    <=> $false )
    & ( next_subocc("5","2","1")
    <=> $false )
    & ( next_subocc("5","2","2")
    <=> $false )
    & ( next_subocc("5","2","3")
    <=> $false )
    & ( next_subocc("5","2","4")
    <=> $false )
    & ( next_subocc("5","2","5")
    <=> $false )
    & ( next_subocc("5","2","6")
    <=> $false )
    & ( next_subocc("5","3","1")
    <=> $false )
    & ( next_subocc("5","3","2")
    <=> $false )
    & ( next_subocc("5","3","3")
    <=> $false )
    & ( next_subocc("5","3","4")
    <=> $false )
    & ( next_subocc("5","3","5")
    <=> $false )
    & ( next_subocc("5","3","6")
    <=> $false )
    & ( next_subocc("5","4","1")
    <=> $true )
    & ( next_subocc("5","4","2")
    <=> $false )
    & ( next_subocc("5","4","3")
    <=> $false )
    & ( next_subocc("5","4","4")
    <=> $false )
    & ( next_subocc("5","4","5")
    <=> $false )
    & ( next_subocc("5","4","6")
    <=> $false )
    & ( next_subocc("5","5","1")
    <=> $false )
    & ( next_subocc("5","5","2")
    <=> $false )
    & ( next_subocc("5","5","3")
    <=> $false )
    & ( next_subocc("5","5","4")
    <=> $false )
    & ( next_subocc("5","5","5")
    <=> $false )
    & ( next_subocc("5","5","6")
    <=> $false )
    & ( next_subocc("5","6","1")
    <=> $false )
    & ( next_subocc("5","6","2")
    <=> $false )
    & ( next_subocc("5","6","3")
    <=> $false )
    & ( next_subocc("5","6","4")
    <=> $false )
    & ( next_subocc("5","6","5")
    <=> $false )
    & ( next_subocc("5","6","6")
    <=> $false )
    & ( next_subocc("6","1","1")
    <=> $false )
    & ( next_subocc("6","1","2")
    <=> $false )
    & ( next_subocc("6","1","3")
    <=> $false )
    & ( next_subocc("6","1","4")
    <=> $false )
    & ( next_subocc("6","1","5")
    <=> $false )
    & ( next_subocc("6","1","6")
    <=> $false )
    & ( next_subocc("6","2","1")
    <=> $false )
    & ( next_subocc("6","2","2")
    <=> $false )
    & ( next_subocc("6","2","3")
    <=> $false )
    & ( next_subocc("6","2","4")
    <=> $false )
    & ( next_subocc("6","2","5")
    <=> $false )
    & ( next_subocc("6","2","6")
    <=> $false )
    & ( next_subocc("6","3","1")
    <=> $false )
    & ( next_subocc("6","3","2")
    <=> $false )
    & ( next_subocc("6","3","3")
    <=> $false )
    & ( next_subocc("6","3","4")
    <=> $false )
    & ( next_subocc("6","3","5")
    <=> $false )
    & ( next_subocc("6","3","6")
    <=> $false )
    & ( next_subocc("6","4","1")
    <=> $false )
    & ( next_subocc("6","4","2")
    <=> $false )
    & ( next_subocc("6","4","3")
    <=> $false )
    & ( next_subocc("6","4","4")
    <=> $false )
    & ( next_subocc("6","4","5")
    <=> $false )
    & ( next_subocc("6","4","6")
    <=> $false )
    & ( next_subocc("6","5","1")
    <=> $false )
    & ( next_subocc("6","5","2")
    <=> $false )
    & ( next_subocc("6","5","3")
    <=> $false )
    & ( next_subocc("6","5","4")
    <=> $false )
    & ( next_subocc("6","5","5")
    <=> $false )
    & ( next_subocc("6","5","6")
    <=> $false )
    & ( next_subocc("6","6","1")
    <=> $false )
    & ( next_subocc("6","6","2")
    <=> $false )
    & ( next_subocc("6","6","3")
    <=> $false )
    & ( next_subocc("6","6","4")
    <=> $false )
    & ( next_subocc("6","6","5")
    <=> $false )
    & ( next_subocc("6","6","6")
    <=> $false ) ) ).

fof(occurrence_of,fi_predicates,
    ( ( occurrence_of("1","1")
    <=> $true )
    & ( occurrence_of("1","2")
    <=> $false )
    & ( occurrence_of("1","3")
    <=> $false )
    & ( occurrence_of("1","4")
    <=> $false )
    & ( occurrence_of("1","5")
    <=> $false )
    & ( occurrence_of("1","6")
    <=> $false )
    & ( occurrence_of("2","1")
    <=> $false )
    & ( occurrence_of("2","2")
    <=> $false )
    & ( occurrence_of("2","3")
    <=> $true )
    & ( occurrence_of("2","4")
    <=> $false )
    & ( occurrence_of("2","5")
    <=> $false )
    & ( occurrence_of("2","6")
    <=> $false )
    & ( occurrence_of("3","1")
    <=> $false )
    & ( occurrence_of("3","2")
    <=> $true )
    & ( occurrence_of("3","3")
    <=> $false )
    & ( occurrence_of("3","4")
    <=> $false )
    & ( occurrence_of("3","5")
    <=> $false )
    & ( occurrence_of("3","6")
    <=> $false )
    & ( occurrence_of("4","1")
    <=> $false )
    & ( occurrence_of("4","2")
    <=> $false )
    & ( occurrence_of("4","3")
    <=> $false )
    & ( occurrence_of("4","4")
    <=> $false )
    & ( occurrence_of("4","5")
    <=> $true )
    & ( occurrence_of("4","6")
    <=> $false )
    & ( occurrence_of("5","1")
    <=> $false )
    & ( occurrence_of("5","2")
    <=> $false )
    & ( occurrence_of("5","3")
    <=> $false )
    & ( occurrence_of("5","4")
    <=> $true )
    & ( occurrence_of("5","5")
    <=> $false )
    & ( occurrence_of("5","6")
    <=> $false )
    & ( occurrence_of("6","1")
    <=> $true )
    & ( occurrence_of("6","2")
    <=> $false )
    & ( occurrence_of("6","3")
    <=> $false )
    & ( occurrence_of("6","4")
    <=> $false )
    & ( occurrence_of("6","5")
    <=> $false )
    & ( occurrence_of("6","6")
    <=> $false ) ) ).

fof(precedes,fi_predicates,
    ( ( precedes("1","1")
    <=> $false )
    & ( precedes("1","2")
    <=> $false )
    & ( precedes("1","3")
    <=> $false )
    & ( precedes("1","4")
    <=> $false )
    & ( precedes("1","5")
    <=> $false )
    & ( precedes("1","6")
    <=> $false )
    & ( precedes("2","1")
    <=> $false )
    & ( precedes("2","2")
    <=> $false )
    & ( precedes("2","3")
    <=> $false )
    & ( precedes("2","4")
    <=> $false )
    & ( precedes("2","5")
    <=> $false )
    & ( precedes("2","6")
    <=> $false )
    & ( precedes("3","1")
    <=> $false )
    & ( precedes("3","2")
    <=> $false )
    & ( precedes("3","3")
    <=> $false )
    & ( precedes("3","4")
    <=> $false )
    & ( precedes("3","5")
    <=> $false )
    & ( precedes("3","6")
    <=> $false )
    & ( precedes("4","1")
    <=> $false )
    & ( precedes("4","2")
    <=> $true )
    & ( precedes("4","3")
    <=> $true )
    & ( precedes("4","4")
    <=> $false )
    & ( precedes("4","5")
    <=> $false )
    & ( precedes("4","6")
    <=> $false )
    & ( precedes("5","1")
    <=> $false )
    & ( precedes("5","2")
    <=> $true )
    & ( precedes("5","3")
    <=> $true )
    & ( precedes("5","4")
    <=> $true )
    & ( precedes("5","5")
    <=> $false )
    & ( precedes("5","6")
    <=> $false )
    & ( precedes("6","1")
    <=> $false )
    & ( precedes("6","2")
    <=> $false )
    & ( precedes("6","3")
    <=> $false )
    & ( precedes("6","4")
    <=> $false )
    & ( precedes("6","5")
    <=> $false )
    & ( precedes("6","6")
    <=> $false ) ) ).

fof(root,fi_predicates,
    ( ( root("1","1")
    <=> $false )
    & ( root("1","2")
    <=> $false )
    & ( root("1","3")
    <=> $false )
    & ( root("1","4")
    <=> $false )
    & ( root("1","5")
    <=> $false )
    & ( root("1","6")
    <=> $false )
    & ( root("2","1")
    <=> $false )
    & ( root("2","2")
    <=> $true )
    & ( root("2","3")
    <=> $true )
    & ( root("2","4")
    <=> $true )
    & ( root("2","5")
    <=> $false )
    & ( root("2","6")
    <=> $false )
    & ( root("3","1")
    <=> $false )
    & ( root("3","2")
    <=> $true )
    & ( root("3","3")
    <=> $true )
    & ( root("3","4")
    <=> $false )
    & ( root("3","5")
    <=> $true )
    & ( root("3","6")
    <=> $false )
    & ( root("4","1")
    <=> $false )
    & ( root("4","2")
    <=> $false )
    & ( root("4","3")
    <=> $true )
    & ( root("4","4")
    <=> $true )
    & ( root("4","5")
    <=> $true )
    & ( root("4","6")
    <=> $false )
    & ( root("5","1")
    <=> $true )
    & ( root("5","2")
    <=> $true )
    & ( root("5","3")
    <=> $true )
    & ( root("5","4")
    <=> $true )
    & ( root("5","5")
    <=> $true )
    & ( root("5","6")
    <=> $true )
    & ( root("6","1")
    <=> $false )
    & ( root("6","2")
    <=> $false )
    & ( root("6","3")
    <=> $false )
    & ( root("6","4")
    <=> $false )
    & ( root("6","5")
    <=> $false )
    & ( root("6","6")
    <=> $false ) ) ).

fof(root_occ,fi_predicates,
    ( ( root_occ("1","1")
    <=> $false )
    & ( root_occ("1","2")
    <=> $false )
    & ( root_occ("1","3")
    <=> $false )
    & ( root_occ("1","4")
    <=> $false )
    & ( root_occ("1","5")
    <=> $false )
    & ( root_occ("1","6")
    <=> $false )
    & ( root_occ("2","1")
    <=> $false )
    & ( root_occ("2","2")
    <=> $true )
    & ( root_occ("2","3")
    <=> $false )
    & ( root_occ("2","4")
    <=> $false )
    & ( root_occ("2","5")
    <=> $false )
    & ( root_occ("2","6")
    <=> $false )
    & ( root_occ("3","1")
    <=> $false )
    & ( root_occ("3","2")
    <=> $false )
    & ( root_occ("3","3")
    <=> $true )
    & ( root_occ("3","4")
    <=> $false )
    & ( root_occ("3","5")
    <=> $false )
    & ( root_occ("3","6")
    <=> $false )
    & ( root_occ("4","1")
    <=> $false )
    & ( root_occ("4","2")
    <=> $false )
    & ( root_occ("4","3")
    <=> $false )
    & ( root_occ("4","4")
    <=> $true )
    & ( root_occ("4","5")
    <=> $false )
    & ( root_occ("4","6")
    <=> $false )
    & ( root_occ("5","1")
    <=> $true )
    & ( root_occ("5","2")
    <=> $false )
    & ( root_occ("5","3")
    <=> $false )
    & ( root_occ("5","4")
    <=> $false )
    & ( root_occ("5","5")
    <=> $true )
    & ( root_occ("5","6")
    <=> $true )
    & ( root_occ("6","1")
    <=> $false )
    & ( root_occ("6","2")
    <=> $false )
    & ( root_occ("6","3")
    <=> $false )
    & ( root_occ("6","4")
    <=> $false )
    & ( root_occ("6","5")
    <=> $false )
    & ( root_occ("6","6")
    <=> $false ) ) ).

fof(sK103_sos_33_X101,fi_functors,
    ( sK103_sos_33_X101("1","1") = "1"
    & sK103_sos_33_X101("1","2") = "2"
    & sK103_sos_33_X101("1","3") = "1"
    & sK103_sos_33_X101("1","4") = "3"
    & sK103_sos_33_X101("1","5") = "4"
    & sK103_sos_33_X101("1","6") = "5"
    & sK103_sos_33_X101("2","1") = "1"
    & sK103_sos_33_X101("2","2") = "3"
    & sK103_sos_33_X101("2","3") = "1"
    & sK103_sos_33_X101("2","4") = "3"
    & sK103_sos_33_X101("2","5") = "1"
    & sK103_sos_33_X101("2","6") = "5"
    & sK103_sos_33_X101("3","1") = "6"
    & sK103_sos_33_X101("3","2") = "1"
    & sK103_sos_33_X101("3","3") = "2"
    & sK103_sos_33_X101("3","4") = "4"
    & sK103_sos_33_X101("3","5") = "1"
    & sK103_sos_33_X101("3","6") = "5"
    & sK103_sos_33_X101("4","1") = "6"
    & sK103_sos_33_X101("4","2") = "1"
    & sK103_sos_33_X101("4","3") = "2"
    & sK103_sos_33_X101("4","4") = "5"
    & sK103_sos_33_X101("4","5") = "1"
    & sK103_sos_33_X101("4","6") = "5"
    & sK103_sos_33_X101("5","1") = "1"
    & sK103_sos_33_X101("5","2") = "4"
    & sK103_sos_33_X101("5","3") = "2"
    & sK103_sos_33_X101("5","4") = "4"
    & sK103_sos_33_X101("5","5") = "4"
    & sK103_sos_33_X101("5","6") = "1"
    & sK103_sos_33_X101("6","1") = "5"
    & sK103_sos_33_X101("6","2") = "5"
    & sK103_sos_33_X101("6","3") = "5"
    & sK103_sos_33_X101("6","4") = "5"
    & sK103_sos_33_X101("6","5") = "5"
    & sK103_sos_33_X101("6","6") = "5" ) ).

fof(sK107_sos_34_X104,fi_functors,
    ( sK107_sos_34_X104("1","1") = "1"
    & sK107_sos_34_X104("1","2") = "1"
    & sK107_sos_34_X104("1","3") = "2"
    & sK107_sos_34_X104("1","4") = "3"
    & sK107_sos_34_X104("1","5") = "1"
    & sK107_sos_34_X104("1","6") = "5"
    & sK107_sos_34_X104("2","1") = "1"
    & sK107_sos_34_X104("2","2") = "3"
    & sK107_sos_34_X104("2","3") = "2"
    & sK107_sos_34_X104("2","4") = "1"
    & sK107_sos_34_X104("2","5") = "1"
    & sK107_sos_34_X104("2","6") = "1"
    & sK107_sos_34_X104("3","1") = "1"
    & sK107_sos_34_X104("3","2") = "1"
    & sK107_sos_34_X104("3","3") = "2"
    & sK107_sos_34_X104("3","4") = "1"
    & sK107_sos_34_X104("3","5") = "1"
    & sK107_sos_34_X104("3","6") = "1"
    & sK107_sos_34_X104("4","1") = "1"
    & sK107_sos_34_X104("4","2") = "6"
    & sK107_sos_34_X104("4","3") = "6"
    & sK107_sos_34_X104("4","4") = "5"
    & sK107_sos_34_X104("4","5") = "1"
    & sK107_sos_34_X104("4","6") = "5"
    & sK107_sos_34_X104("5","1") = "6"
    & sK107_sos_34_X104("5","2") = "1"
    & sK107_sos_34_X104("5","3") = "1"
    & sK107_sos_34_X104("5","4") = "3"
    & sK107_sos_34_X104("5","5") = "4"
    & sK107_sos_34_X104("5","6") = "5"
    & sK107_sos_34_X104("6","1") = "1"
    & sK107_sos_34_X104("6","2") = "5"
    & sK107_sos_34_X104("6","3") = "5"
    & sK107_sos_34_X104("6","4") = "5"
    & sK107_sos_34_X104("6","5") = "5"
    & sK107_sos_34_X104("6","6") = "5" ) ).

fof(sK111_sos_35_X106,fi_functors,
    ( sK111_sos_35_X106("1") = "5"
    & sK111_sos_35_X106("2") = "1"
    & sK111_sos_35_X106("3") = "2"
    & sK111_sos_35_X106("4") = "1"
    & sK111_sos_35_X106("5") = "2"
    & sK111_sos_35_X106("6") = "5" ) ).

fof(sK112_sos_35_X107,fi_functors,
    ( sK112_sos_35_X107("1") = "4"
    & sK112_sos_35_X107("2") = "1"
    & sK112_sos_35_X107("3") = "3"
    & sK112_sos_35_X107("4") = "3"
    & sK112_sos_35_X107("5") = "3"
    & sK112_sos_35_X107("6") = "4" ) ).

fof(sK113_sos_35_X108,fi_functors,
    ( sK113_sos_35_X108("1") = "2"
    & sK113_sos_35_X108("2") = "1"
    & sK113_sos_35_X108("3") = "1"
    & sK113_sos_35_X108("4") = "2"
    & sK113_sos_35_X108("5") = "4"
    & sK113_sos_35_X108("6") = "3" ) ).

fof(sK115_goals_X109,fi_functors,
    sK115_goals_X109 = "1" ).

fof(sK116_goals_X112,fi_functors,
    ( sK116_goals_X112("1") = "4"
    & sK116_goals_X112("2") = "6"
    & sK116_goals_X112("3") = "5"
    & sK116_goals_X112("4") = "5"
    & sK116_goals_X112("5") = "6"
    & sK116_goals_X112("6") = "5" ) ).

fof(sK117_goals_X113,fi_functors,
    ( sK117_goals_X113("1") = "1"
    & sK117_goals_X113("2") = "6"
    & sK117_goals_X113("3") = "6"
    & sK117_goals_X113("4") = "6"
    & sK117_goals_X113("5") = "3"
    & sK117_goals_X113("6") = "3" ) ).

fof(sK23_sos_11_X26,fi_functors,
    ( sK23_sos_11_X26("1","1") = "2"
    & sK23_sos_11_X26("1","2") = "2"
    & sK23_sos_11_X26("1","3") = "3"
    & sK23_sos_11_X26("1","4") = "5"
    & sK23_sos_11_X26("1","5") = "2"
    & sK23_sos_11_X26("1","6") = "3"
    & sK23_sos_11_X26("2","1") = "2"
    & sK23_sos_11_X26("2","2") = "2"
    & sK23_sos_11_X26("2","3") = "3"
    & sK23_sos_11_X26("2","4") = "3"
    & sK23_sos_11_X26("2","5") = "1"
    & sK23_sos_11_X26("2","6") = "4"
    & sK23_sos_11_X26("3","1") = "6"
    & sK23_sos_11_X26("3","2") = "3"
    & sK23_sos_11_X26("3","3") = "3"
    & sK23_sos_11_X26("3","4") = "6"
    & sK23_sos_11_X26("3","5") = "1"
    & sK23_sos_11_X26("3","6") = "5"
    & sK23_sos_11_X26("4","1") = "2"
    & sK23_sos_11_X26("4","2") = "1"
    & sK23_sos_11_X26("4","3") = "2"
    & sK23_sos_11_X26("4","4") = "5"
    & sK23_sos_11_X26("4","5") = "1"
    & sK23_sos_11_X26("4","6") = "3"
    & sK23_sos_11_X26("5","1") = "1"
    & sK23_sos_11_X26("5","2") = "1"
    & sK23_sos_11_X26("5","3") = "1"
    & sK23_sos_11_X26("5","4") = "1"
    & sK23_sos_11_X26("5","5") = "3"
    & sK23_sos_11_X26("5","6") = "3"
    & sK23_sos_11_X26("6","1") = "1"
    & sK23_sos_11_X26("6","2") = "1"
    & sK23_sos_11_X26("6","3") = "1"
    & sK23_sos_11_X26("6","4") = "1"
    & sK23_sos_11_X26("6","5") = "1"
    & sK23_sos_11_X26("6","6") = "3" ) ).

fof(sK24_sos_11_X27,fi_functors,
    ( sK24_sos_11_X27("1","1") = "1"
    & sK24_sos_11_X27("1","2") = "2"
    & sK24_sos_11_X27("1","3") = "3"
    & sK24_sos_11_X27("1","4") = "3"
    & sK24_sos_11_X27("1","5") = "2"
    & sK24_sos_11_X27("1","6") = "5"
    & sK24_sos_11_X27("2","1") = "1"
    & sK24_sos_11_X27("2","2") = "1"
    & sK24_sos_11_X27("2","3") = "2"
    & sK24_sos_11_X27("2","4") = "1"
    & sK24_sos_11_X27("2","5") = "2"
    & sK24_sos_11_X27("2","6") = "4"
    & sK24_sos_11_X27("3","1") = "1"
    & sK24_sos_11_X27("3","2") = "2"
    & sK24_sos_11_X27("3","3") = "2"
    & sK24_sos_11_X27("3","4") = "2"
    & sK24_sos_11_X27("3","5") = "2"
    & sK24_sos_11_X27("3","6") = "5"
    & sK24_sos_11_X27("4","1") = "5"
    & sK24_sos_11_X27("4","2") = "5"
    & sK24_sos_11_X27("4","3") = "2"
    & sK24_sos_11_X27("4","4") = "5"
    & sK24_sos_11_X27("4","5") = "5"
    & sK24_sos_11_X27("4","6") = "5"
    & sK24_sos_11_X27("5","1") = "1"
    & sK24_sos_11_X27("5","2") = "3"
    & sK24_sos_11_X27("5","3") = "5"
    & sK24_sos_11_X27("5","4") = "4"
    & sK24_sos_11_X27("5","5") = "1"
    & sK24_sos_11_X27("5","6") = "5"
    & sK24_sos_11_X27("6","1") = "1"
    & sK24_sos_11_X27("6","2") = "5"
    & sK24_sos_11_X27("6","3") = "3"
    & sK24_sos_11_X27("6","4") = "3"
    & sK24_sos_11_X27("6","5") = "1"
    & sK24_sos_11_X27("6","6") = "5" ) ).

fof(sK28_sos_12_X30,fi_functors,
    ( sK28_sos_12_X30("1","1") = "3"
    & sK28_sos_12_X30("1","2") = "1"
    & sK28_sos_12_X30("1","3") = "1"
    & sK28_sos_12_X30("1","4") = "6"
    & sK28_sos_12_X30("1","5") = "2"
    & sK28_sos_12_X30("1","6") = "5"
    & sK28_sos_12_X30("2","1") = "2"
    & sK28_sos_12_X30("2","2") = "2"
    & sK28_sos_12_X30("2","3") = "3"
    & sK28_sos_12_X30("2","4") = "2"
    & sK28_sos_12_X30("2","5") = "2"
    & sK28_sos_12_X30("2","6") = "5"
    & sK28_sos_12_X30("3","1") = "1"
    & sK28_sos_12_X30("3","2") = "2"
    & sK28_sos_12_X30("3","3") = "3"
    & sK28_sos_12_X30("3","4") = "3"
    & sK28_sos_12_X30("3","5") = "2"
    & sK28_sos_12_X30("3","6") = "5"
    & sK28_sos_12_X30("4","1") = "1"
    & sK28_sos_12_X30("4","2") = "4"
    & sK28_sos_12_X30("4","3") = "2"
    & sK28_sos_12_X30("4","4") = "5"
    & sK28_sos_12_X30("4","5") = "6"
    & sK28_sos_12_X30("4","6") = "5"
    & sK28_sos_12_X30("5","1") = "4"
    & sK28_sos_12_X30("5","2") = "3"
    & sK28_sos_12_X30("5","3") = "3"
    & sK28_sos_12_X30("5","4") = "3"
    & sK28_sos_12_X30("5","5") = "5"
    & sK28_sos_12_X30("5","6") = "5"
    & sK28_sos_12_X30("6","1") = "5"
    & sK28_sos_12_X30("6","2") = "5"
    & sK28_sos_12_X30("6","3") = "5"
    & sK28_sos_12_X30("6","4") = "5"
    & sK28_sos_12_X30("6","5") = "5"
    & sK28_sos_12_X30("6","6") = "5" ) ).

fof(sK2_sos_01_X3,fi_functors,
    ( sK2_sos_01_X3("1") = "1"
    & sK2_sos_01_X3("2") = "3"
    & sK2_sos_01_X3("3") = "2"
    & sK2_sos_01_X3("4") = "5"
    & sK2_sos_01_X3("5") = "4"
    & sK2_sos_01_X3("6") = "1" ) ).

fof(sK31_sos_13_X34,fi_functors,
    ( sK31_sos_13_X34("1","1") = "6"
    & sK31_sos_13_X34("1","2") = "2"
    & sK31_sos_13_X34("1","3") = "2"
    & sK31_sos_13_X34("1","4") = "2"
    & sK31_sos_13_X34("1","5") = "4"
    & sK31_sos_13_X34("1","6") = "3"
    & sK31_sos_13_X34("2","1") = "5"
    & sK31_sos_13_X34("2","2") = "2"
    & sK31_sos_13_X34("2","3") = "2"
    & sK31_sos_13_X34("2","4") = "2"
    & sK31_sos_13_X34("2","5") = "1"
    & sK31_sos_13_X34("2","6") = "5"
    & sK31_sos_13_X34("3","1") = "5"
    & sK31_sos_13_X34("3","2") = "6"
    & sK31_sos_13_X34("3","3") = "4"
    & sK31_sos_13_X34("3","4") = "5"
    & sK31_sos_13_X34("3","5") = "4"
    & sK31_sos_13_X34("3","6") = "5"
    & sK31_sos_13_X34("4","1") = "5"
    & sK31_sos_13_X34("4","2") = "5"
    & sK31_sos_13_X34("4","3") = "5"
    & sK31_sos_13_X34("4","4") = "3"
    & sK31_sos_13_X34("4","5") = "3"
    & sK31_sos_13_X34("4","6") = "5"
    & sK31_sos_13_X34("5","1") = "4"
    & sK31_sos_13_X34("5","2") = "1"
    & sK31_sos_13_X34("5","3") = "3"
    & sK31_sos_13_X34("5","4") = "2"
    & sK31_sos_13_X34("5","5") = "2"
    & sK31_sos_13_X34("5","6") = "3"
    & sK31_sos_13_X34("6","1") = "4"
    & sK31_sos_13_X34("6","2") = "5"
    & sK31_sos_13_X34("6","3") = "3"
    & sK31_sos_13_X34("6","4") = "5"
    & sK31_sos_13_X34("6","5") = "3"
    & sK31_sos_13_X34("6","6") = "3" ) ).

fof(sK56_sos_21_X58,fi_functors,
    ( sK56_sos_21_X58("1","1") = "3"
    & sK56_sos_21_X58("1","2") = "1"
    & sK56_sos_21_X58("1","3") = "1"
    & sK56_sos_21_X58("1","4") = "3"
    & sK56_sos_21_X58("1","5") = "3"
    & sK56_sos_21_X58("1","6") = "5"
    & sK56_sos_21_X58("2","1") = "4"
    & sK56_sos_21_X58("2","2") = "1"
    & sK56_sos_21_X58("2","3") = "1"
    & sK56_sos_21_X58("2","4") = "1"
    & sK56_sos_21_X58("2","5") = "1"
    & sK56_sos_21_X58("2","6") = "5"
    & sK56_sos_21_X58("3","1") = "4"
    & sK56_sos_21_X58("3","2") = "1"
    & sK56_sos_21_X58("3","3") = "2"
    & sK56_sos_21_X58("3","4") = "4"
    & sK56_sos_21_X58("3","5") = "2"
    & sK56_sos_21_X58("3","6") = "5"
    & sK56_sos_21_X58("4","1") = "1"
    & sK56_sos_21_X58("4","2") = "3"
    & sK56_sos_21_X58("4","3") = "1"
    & sK56_sos_21_X58("4","4") = "3"
    & sK56_sos_21_X58("4","5") = "4"
    & sK56_sos_21_X58("4","6") = "5"
    & sK56_sos_21_X58("5","1") = "3"
    & sK56_sos_21_X58("5","2") = "3"
    & sK56_sos_21_X58("5","3") = "4"
    & sK56_sos_21_X58("5","4") = "1"
    & sK56_sos_21_X58("5","5") = "1"
    & sK56_sos_21_X58("5","6") = "5"
    & sK56_sos_21_X58("6","1") = "3"
    & sK56_sos_21_X58("6","2") = "5"
    & sK56_sos_21_X58("6","3") = "5"
    & sK56_sos_21_X58("6","4") = "5"
    & sK56_sos_21_X58("6","5") = "5"
    & sK56_sos_21_X58("6","6") = "5" ) ).

fof(sK57_sos_21_X59,fi_functors,
    ( sK57_sos_21_X59("1","1") = "2"
    & sK57_sos_21_X59("1","2") = "4"
    & sK57_sos_21_X59("1","3") = "3"
    & sK57_sos_21_X59("1","4") = "4"
    & sK57_sos_21_X59("1","5") = "5"
    & sK57_sos_21_X59("1","6") = "5"
    & sK57_sos_21_X59("2","1") = "5"
    & sK57_sos_21_X59("2","2") = "2"
    & sK57_sos_21_X59("2","3") = "6"
    & sK57_sos_21_X59("2","4") = "5"
    & sK57_sos_21_X59("2","5") = "6"
    & sK57_sos_21_X59("2","6") = "5"
    & sK57_sos_21_X59("3","1") = "2"
    & sK57_sos_21_X59("3","2") = "2"
    & sK57_sos_21_X59("3","3") = "5"
    & sK57_sos_21_X59("3","4") = "5"
    & sK57_sos_21_X59("3","5") = "6"
    & sK57_sos_21_X59("3","6") = "5"
    & sK57_sos_21_X59("4","1") = "3"
    & sK57_sos_21_X59("4","2") = "5"
    & sK57_sos_21_X59("4","3") = "6"
    & sK57_sos_21_X59("4","4") = "5"
    & sK57_sos_21_X59("4","5") = "6"
    & sK57_sos_21_X59("4","6") = "5"
    & sK57_sos_21_X59("5","1") = "3"
    & sK57_sos_21_X59("5","2") = "6"
    & sK57_sos_21_X59("5","3") = "6"
    & sK57_sos_21_X59("5","4") = "5"
    & sK57_sos_21_X59("5","5") = "6"
    & sK57_sos_21_X59("5","6") = "4"
    & sK57_sos_21_X59("6","1") = "2"
    & sK57_sos_21_X59("6","2") = "5"
    & sK57_sos_21_X59("6","3") = "5"
    & sK57_sos_21_X59("6","4") = "5"
    & sK57_sos_21_X59("6","5") = "5"
    & sK57_sos_21_X59("6","6") = "2" ) ).

fof(sK62_sos_22_X63,fi_functors,
    ( sK62_sos_22_X63("1","1","1") = "1"
    & sK62_sos_22_X63("1","1","2") = "1"
    & sK62_sos_22_X63("1","1","3") = "2"
    & sK62_sos_22_X63("1","1","4") = "3"
    & sK62_sos_22_X63("1","1","5") = "1"
    & sK62_sos_22_X63("1","1","6") = "5"
    & sK62_sos_22_X63("1","2","1") = "1"
    & sK62_sos_22_X63("1","2","2") = "1"
    & sK62_sos_22_X63("1","2","3") = "5"
    & sK62_sos_22_X63("1","2","4") = "5"
    & sK62_sos_22_X63("1","2","5") = "5"
    & sK62_sos_22_X63("1","2","6") = "5"
    & sK62_sos_22_X63("1","3","1") = "3"
    & sK62_sos_22_X63("1","3","2") = "2"
    & sK62_sos_22_X63("1","3","3") = "3"
    & sK62_sos_22_X63("1","3","4") = "5"
    & sK62_sos_22_X63("1","3","5") = "1"
    & sK62_sos_22_X63("1","3","6") = "5"
    & sK62_sos_22_X63("1","4","1") = "4"
    & sK62_sos_22_X63("1","4","2") = "5"
    & sK62_sos_22_X63("1","4","3") = "5"
    & sK62_sos_22_X63("1","4","4") = "3"
    & sK62_sos_22_X63("1","4","5") = "4"
    & sK62_sos_22_X63("1","4","6") = "5"
    & sK62_sos_22_X63("1","5","1") = "6"
    & sK62_sos_22_X63("1","5","2") = "5"
    & sK62_sos_22_X63("1","5","3") = "5"
    & sK62_sos_22_X63("1","5","4") = "1"
    & sK62_sos_22_X63("1","5","5") = "1"
    & sK62_sos_22_X63("1","5","6") = "5"
    & sK62_sos_22_X63("1","6","1") = "5"
    & sK62_sos_22_X63("1","6","2") = "5"
    & sK62_sos_22_X63("1","6","3") = "5"
    & sK62_sos_22_X63("1","6","4") = "5"
    & sK62_sos_22_X63("1","6","5") = "5"
    & sK62_sos_22_X63("1","6","6") = "5"
    & sK62_sos_22_X63("2","1","1") = "1"
    & sK62_sos_22_X63("2","1","2") = "1"
    & sK62_sos_22_X63("2","1","3") = "3"
    & sK62_sos_22_X63("2","1","4") = "6"
    & sK62_sos_22_X63("2","1","5") = "1"
    & sK62_sos_22_X63("2","1","6") = "5"
    & sK62_sos_22_X63("2","2","1") = "3"
    & sK62_sos_22_X63("2","2","2") = "1"
    & sK62_sos_22_X63("2","2","3") = "2"
    & sK62_sos_22_X63("2","2","4") = "3"
    & sK62_sos_22_X63("2","2","5") = "1"
    & sK62_sos_22_X63("2","2","6") = "5"
    & sK62_sos_22_X63("2","3","1") = "4"
    & sK62_sos_22_X63("2","3","2") = "5"
    & sK62_sos_22_X63("2","3","3") = "5"
    & sK62_sos_22_X63("2","3","4") = "5"
    & sK62_sos_22_X63("2","3","5") = "3"
    & sK62_sos_22_X63("2","3","6") = "5"
    & sK62_sos_22_X63("2","4","1") = "5"
    & sK62_sos_22_X63("2","4","2") = "5"
    & sK62_sos_22_X63("2","4","3") = "1"
    & sK62_sos_22_X63("2","4","4") = "3"
    & sK62_sos_22_X63("2","4","5") = "1"
    & sK62_sos_22_X63("2","4","6") = "5"
    & sK62_sos_22_X63("2","5","1") = "4"
    & sK62_sos_22_X63("2","5","2") = "1"
    & sK62_sos_22_X63("2","5","3") = "1"
    & sK62_sos_22_X63("2","5","4") = "1"
    & sK62_sos_22_X63("2","5","5") = "1"
    & sK62_sos_22_X63("2","5","6") = "5"
    & sK62_sos_22_X63("2","6","1") = "5"
    & sK62_sos_22_X63("2","6","2") = "5"
    & sK62_sos_22_X63("2","6","3") = "5"
    & sK62_sos_22_X63("2","6","4") = "5"
    & sK62_sos_22_X63("2","6","5") = "5"
    & sK62_sos_22_X63("2","6","6") = "5"
    & sK62_sos_22_X63("3","1","1") = "5"
    & sK62_sos_22_X63("3","1","2") = "5"
    & sK62_sos_22_X63("3","1","3") = "1"
    & sK62_sos_22_X63("3","1","4") = "3"
    & sK62_sos_22_X63("3","1","5") = "1"
    & sK62_sos_22_X63("3","1","6") = "5"
    & sK62_sos_22_X63("3","2","1") = "3"
    & sK62_sos_22_X63("3","2","2") = "1"
    & sK62_sos_22_X63("3","2","3") = "3"
    & sK62_sos_22_X63("3","2","4") = "3"
    & sK62_sos_22_X63("3","2","5") = "5"
    & sK62_sos_22_X63("3","2","6") = "5"
    & sK62_sos_22_X63("3","3","1") = "5"
    & sK62_sos_22_X63("3","3","2") = "5"
    & sK62_sos_22_X63("3","3","3") = "3"
    & sK62_sos_22_X63("3","3","4") = "3"
    & sK62_sos_22_X63("3","3","5") = "1"
    & sK62_sos_22_X63("3","3","6") = "5"
    & sK62_sos_22_X63("3","4","1") = "5"
    & sK62_sos_22_X63("3","4","2") = "3"
    & sK62_sos_22_X63("3","4","3") = "3"
    & sK62_sos_22_X63("3","4","4") = "5"
    & sK62_sos_22_X63("3","4","5") = "5"
    & sK62_sos_22_X63("3","4","6") = "5"
    & sK62_sos_22_X63("3","5","1") = "4"
    & sK62_sos_22_X63("3","5","2") = "1"
    & sK62_sos_22_X63("3","5","3") = "1"
    & sK62_sos_22_X63("3","5","4") = "1"
    & sK62_sos_22_X63("3","5","5") = "1"
    & sK62_sos_22_X63("3","5","6") = "5"
    & sK62_sos_22_X63("3","6","1") = "5"
    & sK62_sos_22_X63("3","6","2") = "5"
    & sK62_sos_22_X63("3","6","3") = "5"
    & sK62_sos_22_X63("3","6","4") = "5"
    & sK62_sos_22_X63("3","6","5") = "5"
    & sK62_sos_22_X63("3","6","6") = "5"
    & sK62_sos_22_X63("4","1","1") = "5"
    & sK62_sos_22_X63("4","1","2") = "5"
    & sK62_sos_22_X63("4","1","3") = "5"
    & sK62_sos_22_X63("4","1","4") = "6"
    & sK62_sos_22_X63("4","1","5") = "1"
    & sK62_sos_22_X63("4","1","6") = "5"
    & sK62_sos_22_X63("4","2","1") = "5"
    & sK62_sos_22_X63("4","2","2") = "5"
    & sK62_sos_22_X63("4","2","3") = "5"
    & sK62_sos_22_X63("4","2","4") = "5"
    & sK62_sos_22_X63("4","2","5") = "5"
    & sK62_sos_22_X63("4","2","6") = "5"
    & sK62_sos_22_X63("4","3","1") = "2"
    & sK62_sos_22_X63("4","3","2") = "5"
    & sK62_sos_22_X63("4","3","3") = "5"
    & sK62_sos_22_X63("4","3","4") = "5"
    & sK62_sos_22_X63("4","3","5") = "5"
    & sK62_sos_22_X63("4","3","6") = "5"
    & sK62_sos_22_X63("4","4","1") = "5"
    & sK62_sos_22_X63("4","4","2") = "5"
    & sK62_sos_22_X63("4","4","3") = "5"
    & sK62_sos_22_X63("4","4","4") = "5"
    & sK62_sos_22_X63("4","4","5") = "1"
    & sK62_sos_22_X63("4","4","6") = "5"
    & sK62_sos_22_X63("4","5","1") = "3"
    & sK62_sos_22_X63("4","5","2") = "4"
    & sK62_sos_22_X63("4","5","3") = "1"
    & sK62_sos_22_X63("4","5","4") = "1"
    & sK62_sos_22_X63("4","5","5") = "6"
    & sK62_sos_22_X63("4","5","6") = "5"
    & sK62_sos_22_X63("4","6","1") = "5"
    & sK62_sos_22_X63("4","6","2") = "5"
    & sK62_sos_22_X63("4","6","3") = "5"
    & sK62_sos_22_X63("4","6","4") = "5"
    & sK62_sos_22_X63("4","6","5") = "5"
    & sK62_sos_22_X63("4","6","6") = "5"
    & sK62_sos_22_X63("5","1","1") = "5"
    & sK62_sos_22_X63("5","1","2") = "1"
    & sK62_sos_22_X63("5","1","3") = "1"
    & sK62_sos_22_X63("5","1","4") = "1"
    & sK62_sos_22_X63("5","1","5") = "4"
    & sK62_sos_22_X63("5","1","6") = "5"
    & sK62_sos_22_X63("5","2","1") = "4"
    & sK62_sos_22_X63("5","2","2") = "5"
    & sK62_sos_22_X63("5","2","3") = "4"
    & sK62_sos_22_X63("5","2","4") = "5"
    & sK62_sos_22_X63("5","2","5") = "1"
    & sK62_sos_22_X63("5","2","6") = "5"
    & sK62_sos_22_X63("5","3","1") = "4"
    & sK62_sos_22_X63("5","3","2") = "4"
    & sK62_sos_22_X63("5","3","3") = "4"
    & sK62_sos_22_X63("5","3","4") = "3"
    & sK62_sos_22_X63("5","3","5") = "1"
    & sK62_sos_22_X63("5","3","6") = "5"
    & sK62_sos_22_X63("5","4","1") = "3"
    & sK62_sos_22_X63("5","4","2") = "1"
    & sK62_sos_22_X63("5","4","3") = "1"
    & sK62_sos_22_X63("5","4","4") = "4"
    & sK62_sos_22_X63("5","4","5") = "1"
    & sK62_sos_22_X63("5","4","6") = "5"
    & sK62_sos_22_X63("5","5","1") = "3"
    & sK62_sos_22_X63("5","5","2") = "1"
    & sK62_sos_22_X63("5","5","3") = "1"
    & sK62_sos_22_X63("5","5","4") = "1"
    & sK62_sos_22_X63("5","5","5") = "1"
    & sK62_sos_22_X63("5","5","6") = "5"
    & sK62_sos_22_X63("5","6","1") = "5"
    & sK62_sos_22_X63("5","6","2") = "5"
    & sK62_sos_22_X63("5","6","3") = "5"
    & sK62_sos_22_X63("5","6","4") = "5"
    & sK62_sos_22_X63("5","6","5") = "5"
    & sK62_sos_22_X63("5","6","6") = "5"
    & sK62_sos_22_X63("6","1","1") = "5"
    & sK62_sos_22_X63("6","1","2") = "5"
    & sK62_sos_22_X63("6","1","3") = "5"
    & sK62_sos_22_X63("6","1","4") = "5"
    & sK62_sos_22_X63("6","1","5") = "5"
    & sK62_sos_22_X63("6","1","6") = "5"
    & sK62_sos_22_X63("6","2","1") = "5"
    & sK62_sos_22_X63("6","2","2") = "5"
    & sK62_sos_22_X63("6","2","3") = "5"
    & sK62_sos_22_X63("6","2","4") = "5"
    & sK62_sos_22_X63("6","2","5") = "5"
    & sK62_sos_22_X63("6","2","6") = "5"
    & sK62_sos_22_X63("6","3","1") = "5"
    & sK62_sos_22_X63("6","3","2") = "5"
    & sK62_sos_22_X63("6","3","3") = "5"
    & sK62_sos_22_X63("6","3","4") = "5"
    & sK62_sos_22_X63("6","3","5") = "5"
    & sK62_sos_22_X63("6","3","6") = "5"
    & sK62_sos_22_X63("6","4","1") = "5"
    & sK62_sos_22_X63("6","4","2") = "5"
    & sK62_sos_22_X63("6","4","3") = "5"
    & sK62_sos_22_X63("6","4","4") = "5"
    & sK62_sos_22_X63("6","4","5") = "5"
    & sK62_sos_22_X63("6","4","6") = "5"
    & sK62_sos_22_X63("6","5","1") = "5"
    & sK62_sos_22_X63("6","5","2") = "5"
    & sK62_sos_22_X63("6","5","3") = "5"
    & sK62_sos_22_X63("6","5","4") = "5"
    & sK62_sos_22_X63("6","5","5") = "5"
    & sK62_sos_22_X63("6","5","6") = "5"
    & sK62_sos_22_X63("6","6","1") = "5"
    & sK62_sos_22_X63("6","6","2") = "5"
    & sK62_sos_22_X63("6","6","3") = "5"
    & sK62_sos_22_X63("6","6","4") = "5"
    & sK62_sos_22_X63("6","6","5") = "5"
    & sK62_sos_22_X63("6","6","6") = "5" ) ).

fof(sK67_sos_23_X66,fi_functors,
    ( sK67_sos_23_X66("1","1") = "6"
    & sK67_sos_23_X66("1","2") = "6"
    & sK67_sos_23_X66("1","3") = "2"
    & sK67_sos_23_X66("1","4") = "3"
    & sK67_sos_23_X66("1","5") = "1"
    & sK67_sos_23_X66("1","6") = "5"
    & sK67_sos_23_X66("2","1") = "5"
    & sK67_sos_23_X66("2","2") = "3"
    & sK67_sos_23_X66("2","3") = "3"
    & sK67_sos_23_X66("2","4") = "3"
    & sK67_sos_23_X66("2","5") = "5"
    & sK67_sos_23_X66("2","6") = "5"
    & sK67_sos_23_X66("3","1") = "5"
    & sK67_sos_23_X66("3","2") = "2"
    & sK67_sos_23_X66("3","3") = "2"
    & sK67_sos_23_X66("3","4") = "6"
    & sK67_sos_23_X66("3","5") = "6"
    & sK67_sos_23_X66("3","6") = "5"
    & sK67_sos_23_X66("4","1") = "5"
    & sK67_sos_23_X66("4","2") = "3"
    & sK67_sos_23_X66("4","3") = "5"
    & sK67_sos_23_X66("4","4") = "3"
    & sK67_sos_23_X66("4","5") = "5"
    & sK67_sos_23_X66("4","6") = "5"
    & sK67_sos_23_X66("5","1") = "4"
    & sK67_sos_23_X66("5","2") = "4"
    & sK67_sos_23_X66("5","3") = "3"
    & sK67_sos_23_X66("5","4") = "4"
    & sK67_sos_23_X66("5","5") = "4"
    & sK67_sos_23_X66("5","6") = "4"
    & sK67_sos_23_X66("6","1") = "5"
    & sK67_sos_23_X66("6","2") = "4"
    & sK67_sos_23_X66("6","3") = "2"
    & sK67_sos_23_X66("6","4") = "4"
    & sK67_sos_23_X66("6","5") = "2"
    & sK67_sos_23_X66("6","6") = "5" ) ).

fof(sK73_sos_25_X72,fi_functors,
    ( sK73_sos_25_X72("1","1","1") = "4"
    & sK73_sos_25_X72("1","1","2") = "1"
    & sK73_sos_25_X72("1","1","3") = "1"
    & sK73_sos_25_X72("1","1","4") = "1"
    & sK73_sos_25_X72("1","1","5") = "3"
    & sK73_sos_25_X72("1","1","6") = "5"
    & sK73_sos_25_X72("1","2","1") = "1"
    & sK73_sos_25_X72("1","2","2") = "1"
    & sK73_sos_25_X72("1","2","3") = "1"
    & sK73_sos_25_X72("1","2","4") = "3"
    & sK73_sos_25_X72("1","2","5") = "1"
    & sK73_sos_25_X72("1","2","6") = "5"
    & sK73_sos_25_X72("1","3","1") = "2"
    & sK73_sos_25_X72("1","3","2") = "2"
    & sK73_sos_25_X72("1","3","3") = "1"
    & sK73_sos_25_X72("1","3","4") = "1"
    & sK73_sos_25_X72("1","3","5") = "3"
    & sK73_sos_25_X72("1","3","6") = "5"
    & sK73_sos_25_X72("1","4","1") = "1"
    & sK73_sos_25_X72("1","4","2") = "1"
    & sK73_sos_25_X72("1","4","3") = "3"
    & sK73_sos_25_X72("1","4","4") = "1"
    & sK73_sos_25_X72("1","4","5") = "1"
    & sK73_sos_25_X72("1","4","6") = "5"
    & sK73_sos_25_X72("1","5","1") = "6"
    & sK73_sos_25_X72("1","5","2") = "1"
    & sK73_sos_25_X72("1","5","3") = "1"
    & sK73_sos_25_X72("1","5","4") = "1"
    & sK73_sos_25_X72("1","5","5") = "1"
    & sK73_sos_25_X72("1","5","6") = "5"
    & sK73_sos_25_X72("1","6","1") = "5"
    & sK73_sos_25_X72("1","6","2") = "5"
    & sK73_sos_25_X72("1","6","3") = "5"
    & sK73_sos_25_X72("1","6","4") = "5"
    & sK73_sos_25_X72("1","6","5") = "5"
    & sK73_sos_25_X72("1","6","6") = "5"
    & sK73_sos_25_X72("2","1","1") = "2"
    & sK73_sos_25_X72("2","1","2") = "2"
    & sK73_sos_25_X72("2","1","3") = "6"
    & sK73_sos_25_X72("2","1","4") = "3"
    & sK73_sos_25_X72("2","1","5") = "3"
    & sK73_sos_25_X72("2","1","6") = "5"
    & sK73_sos_25_X72("2","2","1") = "2"
    & sK73_sos_25_X72("2","2","2") = "2"
    & sK73_sos_25_X72("2","2","3") = "2"
    & sK73_sos_25_X72("2","2","4") = "1"
    & sK73_sos_25_X72("2","2","5") = "3"
    & sK73_sos_25_X72("2","2","6") = "5"
    & sK73_sos_25_X72("2","3","1") = "1"
    & sK73_sos_25_X72("2","3","2") = "2"
    & sK73_sos_25_X72("2","3","3") = "2"
    & sK73_sos_25_X72("2","3","4") = "1"
    & sK73_sos_25_X72("2","3","5") = "1"
    & sK73_sos_25_X72("2","3","6") = "5"
    & sK73_sos_25_X72("2","4","1") = "1"
    & sK73_sos_25_X72("2","4","2") = "2"
    & sK73_sos_25_X72("2","4","3") = "1"
    & sK73_sos_25_X72("2","4","4") = "1"
    & sK73_sos_25_X72("2","4","5") = "1"
    & sK73_sos_25_X72("2","4","6") = "5"
    & sK73_sos_25_X72("2","5","1") = "1"
    & sK73_sos_25_X72("2","5","2") = "1"
    & sK73_sos_25_X72("2","5","3") = "1"
    & sK73_sos_25_X72("2","5","4") = "1"
    & sK73_sos_25_X72("2","5","5") = "1"
    & sK73_sos_25_X72("2","5","6") = "5"
    & sK73_sos_25_X72("2","6","1") = "5"
    & sK73_sos_25_X72("2","6","2") = "5"
    & sK73_sos_25_X72("2","6","3") = "5"
    & sK73_sos_25_X72("2","6","4") = "5"
    & sK73_sos_25_X72("2","6","5") = "5"
    & sK73_sos_25_X72("2","6","6") = "5"
    & sK73_sos_25_X72("3","1","1") = "2"
    & sK73_sos_25_X72("3","1","2") = "1"
    & sK73_sos_25_X72("3","1","3") = "1"
    & sK73_sos_25_X72("3","1","4") = "1"
    & sK73_sos_25_X72("3","1","5") = "1"
    & sK73_sos_25_X72("3","1","6") = "5"
    & sK73_sos_25_X72("3","2","1") = "1"
    & sK73_sos_25_X72("3","2","2") = "1"
    & sK73_sos_25_X72("3","2","3") = "2"
    & sK73_sos_25_X72("3","2","4") = "1"
    & sK73_sos_25_X72("3","2","5") = "4"
    & sK73_sos_25_X72("3","2","6") = "5"
    & sK73_sos_25_X72("3","3","1") = "1"
    & sK73_sos_25_X72("3","3","2") = "1"
    & sK73_sos_25_X72("3","3","3") = "2"
    & sK73_sos_25_X72("3","3","4") = "1"
    & sK73_sos_25_X72("3","3","5") = "3"
    & sK73_sos_25_X72("3","3","6") = "5"
    & sK73_sos_25_X72("3","4","1") = "6"
    & sK73_sos_25_X72("3","4","2") = "1"
    & sK73_sos_25_X72("3","4","3") = "6"
    & sK73_sos_25_X72("3","4","4") = "2"
    & sK73_sos_25_X72("3","4","5") = "6"
    & sK73_sos_25_X72("3","4","6") = "5"
    & sK73_sos_25_X72("3","5","1") = "1"
    & sK73_sos_25_X72("3","5","2") = "4"
    & sK73_sos_25_X72("3","5","3") = "3"
    & sK73_sos_25_X72("3","5","4") = "3"
    & sK73_sos_25_X72("3","5","5") = "3"
    & sK73_sos_25_X72("3","5","6") = "5"
    & sK73_sos_25_X72("3","6","1") = "5"
    & sK73_sos_25_X72("3","6","2") = "5"
    & sK73_sos_25_X72("3","6","3") = "5"
    & sK73_sos_25_X72("3","6","4") = "5"
    & sK73_sos_25_X72("3","6","5") = "5"
    & sK73_sos_25_X72("3","6","6") = "5"
    & sK73_sos_25_X72("4","1","1") = "1"
    & sK73_sos_25_X72("4","1","2") = "1"
    & sK73_sos_25_X72("4","1","3") = "3"
    & sK73_sos_25_X72("4","1","4") = "6"
    & sK73_sos_25_X72("4","1","5") = "2"
    & sK73_sos_25_X72("4","1","6") = "5"
    & sK73_sos_25_X72("4","2","1") = "1"
    & sK73_sos_25_X72("4","2","2") = "1"
    & sK73_sos_25_X72("4","2","3") = "1"
    & sK73_sos_25_X72("4","2","4") = "1"
    & sK73_sos_25_X72("4","2","5") = "4"
    & sK73_sos_25_X72("4","2","6") = "5"
    & sK73_sos_25_X72("4","3","1") = "6"
    & sK73_sos_25_X72("4","3","2") = "2"
    & sK73_sos_25_X72("4","3","3") = "2"
    & sK73_sos_25_X72("4","3","4") = "1"
    & sK73_sos_25_X72("4","3","5") = "3"
    & sK73_sos_25_X72("4","3","6") = "5"
    & sK73_sos_25_X72("4","4","1") = "1"
    & sK73_sos_25_X72("4","4","2") = "3"
    & sK73_sos_25_X72("4","4","3") = "3"
    & sK73_sos_25_X72("4","4","4") = "1"
    & sK73_sos_25_X72("4","4","5") = "3"
    & sK73_sos_25_X72("4","4","6") = "5"
    & sK73_sos_25_X72("4","5","1") = "1"
    & sK73_sos_25_X72("4","5","2") = "4"
    & sK73_sos_25_X72("4","5","3") = "1"
    & sK73_sos_25_X72("4","5","4") = "1"
    & sK73_sos_25_X72("4","5","5") = "1"
    & sK73_sos_25_X72("4","5","6") = "5"
    & sK73_sos_25_X72("4","6","1") = "5"
    & sK73_sos_25_X72("4","6","2") = "5"
    & sK73_sos_25_X72("4","6","3") = "5"
    & sK73_sos_25_X72("4","6","4") = "5"
    & sK73_sos_25_X72("4","6","5") = "5"
    & sK73_sos_25_X72("4","6","6") = "5"
    & sK73_sos_25_X72("5","1","1") = "2"
    & sK73_sos_25_X72("5","1","2") = "1"
    & sK73_sos_25_X72("5","1","3") = "1"
    & sK73_sos_25_X72("5","1","4") = "1"
    & sK73_sos_25_X72("5","1","5") = "1"
    & sK73_sos_25_X72("5","1","6") = "5"
    & sK73_sos_25_X72("5","2","1") = "1"
    & sK73_sos_25_X72("5","2","2") = "1"
    & sK73_sos_25_X72("5","2","3") = "2"
    & sK73_sos_25_X72("5","2","4") = "4"
    & sK73_sos_25_X72("5","2","5") = "2"
    & sK73_sos_25_X72("5","2","6") = "5"
    & sK73_sos_25_X72("5","3","1") = "6"
    & sK73_sos_25_X72("5","3","2") = "3"
    & sK73_sos_25_X72("5","3","3") = "6"
    & sK73_sos_25_X72("5","3","4") = "1"
    & sK73_sos_25_X72("5","3","5") = "2"
    & sK73_sos_25_X72("5","3","6") = "5"
    & sK73_sos_25_X72("5","4","1") = "1"
    & sK73_sos_25_X72("5","4","2") = "2"
    & sK73_sos_25_X72("5","4","3") = "3"
    & sK73_sos_25_X72("5","4","4") = "2"
    & sK73_sos_25_X72("5","4","5") = "2"
    & sK73_sos_25_X72("5","4","6") = "5"
    & sK73_sos_25_X72("5","5","1") = "6"
    & sK73_sos_25_X72("5","5","2") = "4"
    & sK73_sos_25_X72("5","5","3") = "6"
    & sK73_sos_25_X72("5","5","4") = "4"
    & sK73_sos_25_X72("5","5","5") = "4"
    & sK73_sos_25_X72("5","5","6") = "5"
    & sK73_sos_25_X72("5","6","1") = "1"
    & sK73_sos_25_X72("5","6","2") = "5"
    & sK73_sos_25_X72("5","6","3") = "5"
    & sK73_sos_25_X72("5","6","4") = "5"
    & sK73_sos_25_X72("5","6","5") = "5"
    & sK73_sos_25_X72("5","6","6") = "5"
    & sK73_sos_25_X72("6","1","1") = "5"
    & sK73_sos_25_X72("6","1","2") = "5"
    & sK73_sos_25_X72("6","1","3") = "5"
    & sK73_sos_25_X72("6","1","4") = "5"
    & sK73_sos_25_X72("6","1","5") = "5"
    & sK73_sos_25_X72("6","1","6") = "5"
    & sK73_sos_25_X72("6","2","1") = "5"
    & sK73_sos_25_X72("6","2","2") = "5"
    & sK73_sos_25_X72("6","2","3") = "5"
    & sK73_sos_25_X72("6","2","4") = "5"
    & sK73_sos_25_X72("6","2","5") = "5"
    & sK73_sos_25_X72("6","2","6") = "5"
    & sK73_sos_25_X72("6","3","1") = "1"
    & sK73_sos_25_X72("6","3","2") = "5"
    & sK73_sos_25_X72("6","3","3") = "5"
    & sK73_sos_25_X72("6","3","4") = "5"
    & sK73_sos_25_X72("6","3","5") = "5"
    & sK73_sos_25_X72("6","3","6") = "5"
    & sK73_sos_25_X72("6","4","1") = "1"
    & sK73_sos_25_X72("6","4","2") = "5"
    & sK73_sos_25_X72("6","4","3") = "5"
    & sK73_sos_25_X72("6","4","4") = "5"
    & sK73_sos_25_X72("6","4","5") = "5"
    & sK73_sos_25_X72("6","4","6") = "5"
    & sK73_sos_25_X72("6","5","1") = "5"
    & sK73_sos_25_X72("6","5","2") = "5"
    & sK73_sos_25_X72("6","5","3") = "5"
    & sK73_sos_25_X72("6","5","4") = "5"
    & sK73_sos_25_X72("6","5","5") = "5"
    & sK73_sos_25_X72("6","5","6") = "5"
    & sK73_sos_25_X72("6","6","1") = "5"
    & sK73_sos_25_X72("6","6","2") = "5"
    & sK73_sos_25_X72("6","6","3") = "5"
    & sK73_sos_25_X72("6","6","4") = "5"
    & sK73_sos_25_X72("6","6","5") = "5"
    & sK73_sos_25_X72("6","6","6") = "5" ) ).

fof(sK77_sos_26_X75,fi_functors,
    ( sK77_sos_26_X75("1","1") = "2"
    & sK77_sos_26_X75("1","2") = "1"
    & sK77_sos_26_X75("1","3") = "1"
    & sK77_sos_26_X75("1","4") = "1"
    & sK77_sos_26_X75("1","5") = "1"
    & sK77_sos_26_X75("1","6") = "5"
    & sK77_sos_26_X75("2","1") = "1"
    & sK77_sos_26_X75("2","2") = "3"
    & sK77_sos_26_X75("2","3") = "2"
    & sK77_sos_26_X75("2","4") = "2"
    & sK77_sos_26_X75("2","5") = "4"
    & sK77_sos_26_X75("2","6") = "5"
    & sK77_sos_26_X75("3","1") = "2"
    & sK77_sos_26_X75("3","2") = "2"
    & sK77_sos_26_X75("3","3") = "2"
    & sK77_sos_26_X75("3","4") = "3"
    & sK77_sos_26_X75("3","5") = "1"
    & sK77_sos_26_X75("3","6") = "5"
    & sK77_sos_26_X75("4","1") = "3"
    & sK77_sos_26_X75("4","2") = "1"
    & sK77_sos_26_X75("4","3") = "3"
    & sK77_sos_26_X75("4","4") = "3"
    & sK77_sos_26_X75("4","5") = "1"
    & sK77_sos_26_X75("4","6") = "5"
    & sK77_sos_26_X75("5","1") = "1"
    & sK77_sos_26_X75("5","2") = "1"
    & sK77_sos_26_X75("5","3") = "1"
    & sK77_sos_26_X75("5","4") = "1"
    & sK77_sos_26_X75("5","5") = "1"
    & sK77_sos_26_X75("5","6") = "5"
    & sK77_sos_26_X75("6","1") = "5"
    & sK77_sos_26_X75("6","2") = "5"
    & sK77_sos_26_X75("6","3") = "5"
    & sK77_sos_26_X75("6","4") = "5"
    & sK77_sos_26_X75("6","5") = "6"
    & sK77_sos_26_X75("6","6") = "5" ) ).

fof(sK80_sos_27_X78,fi_functors,
    ( sK80_sos_27_X78("1","1") = "5"
    & sK80_sos_27_X78("1","2") = "1"
    & sK80_sos_27_X78("1","3") = "1"
    & sK80_sos_27_X78("1","4") = "5"
    & sK80_sos_27_X78("1","5") = "2"
    & sK80_sos_27_X78("1","6") = "5"
    & sK80_sos_27_X78("2","1") = "1"
    & sK80_sos_27_X78("2","2") = "1"
    & sK80_sos_27_X78("2","3") = "1"
    & sK80_sos_27_X78("2","4") = "5"
    & sK80_sos_27_X78("2","5") = "4"
    & sK80_sos_27_X78("2","6") = "5"
    & sK80_sos_27_X78("3","1") = "1"
    & sK80_sos_27_X78("3","2") = "3"
    & sK80_sos_27_X78("3","3") = "5"
    & sK80_sos_27_X78("3","4") = "6"
    & sK80_sos_27_X78("3","5") = "1"
    & sK80_sos_27_X78("3","6") = "5"
    & sK80_sos_27_X78("4","1") = "5"
    & sK80_sos_27_X78("4","2") = "1"
    & sK80_sos_27_X78("4","3") = "1"
    & sK80_sos_27_X78("4","4") = "1"
    & sK80_sos_27_X78("4","5") = "5"
    & sK80_sos_27_X78("4","6") = "5"
    & sK80_sos_27_X78("5","1") = "3"
    & sK80_sos_27_X78("5","2") = "1"
    & sK80_sos_27_X78("5","3") = "1"
    & sK80_sos_27_X78("5","4") = "1"
    & sK80_sos_27_X78("5","5") = "1"
    & sK80_sos_27_X78("5","6") = "5"
    & sK80_sos_27_X78("6","1") = "5"
    & sK80_sos_27_X78("6","2") = "5"
    & sK80_sos_27_X78("6","3") = "5"
    & sK80_sos_27_X78("6","4") = "5"
    & sK80_sos_27_X78("6","5") = "5"
    & sK80_sos_27_X78("6","6") = "5" ) ).

fof(sK98_sos_32_X98,fi_functors,
    ( sK98_sos_32_X98("1","1") = "4"
    & sK98_sos_32_X98("1","2") = "3"
    & sK98_sos_32_X98("1","3") = "4"
    & sK98_sos_32_X98("1","4") = "6"
    & sK98_sos_32_X98("1","5") = "5"
    & sK98_sos_32_X98("1","6") = "6"
    & sK98_sos_32_X98("2","1") = "1"
    & sK98_sos_32_X98("2","2") = "1"
    & sK98_sos_32_X98("2","3") = "3"
    & sK98_sos_32_X98("2","4") = "4"
    & sK98_sos_32_X98("2","5") = "6"
    & sK98_sos_32_X98("2","6") = "5"
    & sK98_sos_32_X98("3","1") = "1"
    & sK98_sos_32_X98("3","2") = "2"
    & sK98_sos_32_X98("3","3") = "6"
    & sK98_sos_32_X98("3","4") = "4"
    & sK98_sos_32_X98("3","5") = "5"
    & sK98_sos_32_X98("3","6") = "5"
    & sK98_sos_32_X98("4","1") = "2"
    & sK98_sos_32_X98("4","2") = "2"
    & sK98_sos_32_X98("4","3") = "3"
    & sK98_sos_32_X98("4","4") = "2"
    & sK98_sos_32_X98("4","5") = "5"
    & sK98_sos_32_X98("4","6") = "5"
    & sK98_sos_32_X98("5","1") = "1"
    & sK98_sos_32_X98("5","2") = "2"
    & sK98_sos_32_X98("5","3") = "1"
    & sK98_sos_32_X98("5","4") = "1"
    & sK98_sos_32_X98("5","5") = "5"
    & sK98_sos_32_X98("5","6") = "5"
    & sK98_sos_32_X98("6","1") = "2"
    & sK98_sos_32_X98("6","2") = "4"
    & sK98_sos_32_X98("6","3") = "1"
    & sK98_sos_32_X98("6","4") = "5"
    & sK98_sos_32_X98("6","5") = "5"
    & sK98_sos_32_X98("6","6") = "5" ) ).

fof(sP118_goals_or,fi_predicates,
    ( ( sP118_goals_or("1","1")
    <=> $false )
    & ( sP118_goals_or("1","2")
    <=> $false )
    & ( sP118_goals_or("1","3")
    <=> $false )
    & ( sP118_goals_or("1","4")
    <=> $false )
    & ( sP118_goals_or("1","5")
    <=> $false )
    & ( sP118_goals_or("1","6")
    <=> $false )
    & ( sP118_goals_or("2","1")
    <=> $false )
    & ( sP118_goals_or("2","2")
    <=> $false )
    & ( sP118_goals_or("2","3")
    <=> $false )
    & ( sP118_goals_or("2","4")
    <=> $false )
    & ( sP118_goals_or("2","5")
    <=> $false )
    & ( sP118_goals_or("2","6")
    <=> $false )
    & ( sP118_goals_or("3","1")
    <=> $false )
    & ( sP118_goals_or("3","2")
    <=> $false )
    & ( sP118_goals_or("3","3")
    <=> $false )
    & ( sP118_goals_or("3","4")
    <=> $false )
    & ( sP118_goals_or("3","5")
    <=> $false )
    & ( sP118_goals_or("3","6")
    <=> $false )
    & ( sP118_goals_or("4","1")
    <=> $false )
    & ( sP118_goals_or("4","2")
    <=> $false )
    & ( sP118_goals_or("4","3")
    <=> $false )
    & ( sP118_goals_or("4","4")
    <=> $false )
    & ( sP118_goals_or("4","5")
    <=> $false )
    & ( sP118_goals_or("4","6")
    <=> $false )
    & ( sP118_goals_or("5","1")
    <=> $false )
    & ( sP118_goals_or("5","2")
    <=> $true )
    & ( sP118_goals_or("5","3")
    <=> $false )
    & ( sP118_goals_or("5","4")
    <=> $false )
    & ( sP118_goals_or("5","5")
    <=> $false )
    & ( sP118_goals_or("5","6")
    <=> $false )
    & ( sP118_goals_or("6","1")
    <=> $false )
    & ( sP118_goals_or("6","2")
    <=> $false )
    & ( sP118_goals_or("6","3")
    <=> $false )
    & ( sP118_goals_or("6","4")
    <=> $false )
    & ( sP118_goals_or("6","5")
    <=> $false )
    & ( sP118_goals_or("6","6")
    <=> $false ) ) ).

fof(subactivity,fi_predicates,
    ( ( subactivity("1","1")
    <=> $true )
    & ( subactivity("1","2")
    <=> $false )
    & ( subactivity("1","3")
    <=> $false )
    & ( subactivity("1","4")
    <=> $false )
    & ( subactivity("1","5")
    <=> $false )
    & ( subactivity("1","6")
    <=> $true )
    & ( subactivity("2","1")
    <=> $true )
    & ( subactivity("2","2")
    <=> $true )
    & ( subactivity("2","3")
    <=> $true )
    & ( subactivity("2","4")
    <=> $true )
    & ( subactivity("2","5")
    <=> $false )
    & ( subactivity("2","6")
    <=> $false )
    & ( subactivity("3","1")
    <=> $true )
    & ( subactivity("3","2")
    <=> $true )
    & ( subactivity("3","3")
    <=> $true )
    & ( subactivity("3","4")
    <=> $false )
    & ( subactivity("3","5")
    <=> $true )
    & ( subactivity("3","6")
    <=> $false )
    & ( subactivity("4","1")
    <=> $false )
    & ( subactivity("4","2")
    <=> $false )
    & ( subactivity("4","3")
    <=> $true )
    & ( subactivity("4","4")
    <=> $true )
    & ( subactivity("4","5")
    <=> $false )
    & ( subactivity("4","6")
    <=> $false )
    & ( subactivity("5","1")
    <=> $true )
    & ( subactivity("5","2")
    <=> $false )
    & ( subactivity("5","3")
    <=> $false )
    & ( subactivity("5","4")
    <=> $true )
    & ( subactivity("5","5")
    <=> $true )
    & ( subactivity("5","6")
    <=> $true )
    & ( subactivity("6","1")
    <=> $true )
    & ( subactivity("6","2")
    <=> $false )
    & ( subactivity("6","3")
    <=> $false )
    & ( subactivity("6","4")
    <=> $true )
    & ( subactivity("6","5")
    <=> $false )
    & ( subactivity("6","6")
    <=> $true ) ) ).

fof(subactivity_occurrence,fi_predicates,
    ( ( subactivity_occurrence("1","1")
    <=> $true )
    & ( subactivity_occurrence("1","2")
    <=> $false )
    & ( subactivity_occurrence("1","3")
    <=> $false )
    & ( subactivity_occurrence("1","4")
    <=> $false )
    & ( subactivity_occurrence("1","5")
    <=> $false )
    & ( subactivity_occurrence("1","6")
    <=> $false )
    & ( subactivity_occurrence("2","1")
    <=> $true )
    & ( subactivity_occurrence("2","2")
    <=> $true )
    & ( subactivity_occurrence("2","3")
    <=> $false )
    & ( subactivity_occurrence("2","4")
    <=> $false )
    & ( subactivity_occurrence("2","5")
    <=> $false )
    & ( subactivity_occurrence("2","6")
    <=> $false )
    & ( subactivity_occurrence("3","1")
    <=> $false )
    & ( subactivity_occurrence("3","2")
    <=> $false )
    & ( subactivity_occurrence("3","3")
    <=> $true )
    & ( subactivity_occurrence("3","4")
    <=> $false )
    & ( subactivity_occurrence("3","5")
    <=> $false )
    & ( subactivity_occurrence("3","6")
    <=> $true )
    & ( subactivity_occurrence("4","1")
    <=> $true )
    & ( subactivity_occurrence("4","2")
    <=> $false )
    & ( subactivity_occurrence("4","3")
    <=> $false )
    & ( subactivity_occurrence("4","4")
    <=> $true )
    & ( subactivity_occurrence("4","5")
    <=> $false )
    & ( subactivity_occurrence("4","6")
    <=> $true )
    & ( subactivity_occurrence("5","1")
    <=> $true )
    & ( subactivity_occurrence("5","2")
    <=> $false )
    & ( subactivity_occurrence("5","3")
    <=> $false )
    & ( subactivity_occurrence("5","4")
    <=> $false )
    & ( subactivity_occurrence("5","5")
    <=> $true )
    & ( subactivity_occurrence("5","6")
    <=> $true )
    & ( subactivity_occurrence("6","1")
    <=> $false )
    & ( subactivity_occurrence("6","2")
    <=> $false )
    & ( subactivity_occurrence("6","3")
    <=> $false )
    & ( subactivity_occurrence("6","4")
    <=> $false )
    & ( subactivity_occurrence("6","5")
    <=> $false )
    & ( subactivity_occurrence("6","6")
    <=> $true ) ) ).

fof(tptp0,fi_functors,
    tptp0 = "1" ).

fof(tptp1,fi_functors,
    tptp1 = "2" ).

fof(tptp2,fi_functors,
    tptp2 = "3" ).

fof(tptp3,fi_functors,
    tptp3 = "4" ).

fof(tptp4,fi_functors,
    tptp4 = "5" ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12  % Problem  : PRO007+1 : TPTP v8.1.0. Released v4.0.0.
% 0.07/0.13  % Command  : paradox --no-progress --time %d --tstp --model %s
% 0.13/0.34  % Computer : n026.cluster.edu
% 0.13/0.34  % Model    : x86_64 x86_64
% 0.13/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34  % Memory   : 8042.1875MB
% 0.13/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34  % CPULimit : 300
% 0.13/0.34  % WCLimit  : 600
% 0.13/0.34  % DateTime : Mon Jun 13 01:29:50 EDT 2022
% 0.13/0.35  % CPUTime  : 
% 0.13/0.35  Paradox, version 4.0, 2010-06-29.
% 0.13/0.35  +++ PROBLEM: /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.13/0.35  Reading '/export/starexec/sandbox2/benchmark/theBenchmark.p' ... OK
% 0.13/0.37  +++ SOLVING: /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.20/0.50  +++ BEGIN MODEL
% 0.20/0.50  SZS output start FiniteModel for /export/starexec/sandbox2/benchmark/theBenchmark.p
% See solution above
% 0.20/0.51  +++ END MODEL
% 0.20/0.51  +++ RESULT: CounterSatisfiable
% 0.20/0.51  SZS status CounterSatisfiable for /export/starexec/sandbox2/benchmark/theBenchmark.p
%------------------------------------------------------------------------------