TSTP Solution File: PRO013+4 by Paradox---4.0

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Paradox---4.0
% Problem  : PRO013+4 : TPTP v8.1.0. Released v4.0.0.
% Transfm  : none
% Format   : tptp:short
% Command  : paradox --no-progress --time %d --tstp --model %s

% Computer : n005.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 17:51:42 EDT 2022

% Result   : CounterSatisfiable 0.20s 0.46s
% Output   : FiniteModel 0.20s
% Verified : 
% SZS Type : FiniteModel
%            Domain size           :    5

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

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

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

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

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

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

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

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

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

fof(sK0_sos_X2,fi_functors,
    ( sK0_sos_X2("1","1") = "4"
    & sK0_sos_X2("1","2") = "1"
    & sK0_sos_X2("1","3") = "2"
    & sK0_sos_X2("1","4") = "5"
    & sK0_sos_X2("1","5") = "4"
    & sK0_sos_X2("2","1") = "1"
    & sK0_sos_X2("2","2") = "1"
    & sK0_sos_X2("2","3") = "2"
    & sK0_sos_X2("2","4") = "3"
    & sK0_sos_X2("2","5") = "5"
    & sK0_sos_X2("3","1") = "2"
    & sK0_sos_X2("3","2") = "2"
    & sK0_sos_X2("3","3") = "3"
    & sK0_sos_X2("3","4") = "3"
    & sK0_sos_X2("3","5") = "5"
    & sK0_sos_X2("4","1") = "3"
    & sK0_sos_X2("4","2") = "3"
    & sK0_sos_X2("4","3") = "5"
    & sK0_sos_X2("4","4") = "3"
    & sK0_sos_X2("4","5") = "4"
    & sK0_sos_X2("5","1") = "5"
    & sK0_sos_X2("5","2") = "4"
    & sK0_sos_X2("5","3") = "4"
    & sK0_sos_X2("5","4") = "5"
    & sK0_sos_X2("5","5") = "5" ) ).

fof(sK107_sos_32_X102,fi_functors,
    ( sK107_sos_32_X102("1") = "4"
    & sK107_sos_32_X102("2") = "1"
    & sK107_sos_32_X102("3") = "1"
    & sK107_sos_32_X102("4") = "5"
    & sK107_sos_32_X102("5") = "4" ) ).

fof(sK108_sos_32_X103,fi_functors,
    ( sK108_sos_32_X103("1") = "2"
    & sK108_sos_32_X103("2") = "1"
    & sK108_sos_32_X103("3") = "5"
    & sK108_sos_32_X103("4") = "3"
    & sK108_sos_32_X103("5") = "2" ) ).

fof(sK109_sos_32_X104,fi_functors,
    ( sK109_sos_32_X104("1") = "3"
    & sK109_sos_32_X104("2") = "2"
    & sK109_sos_32_X104("3") = "2"
    & sK109_sos_32_X104("4") = "1"
    & sK109_sos_32_X104("5") = "3" ) ).

fof(sK112_goals_X106,fi_functors,
    sK112_goals_X106 = "1" ).

fof(sK18_sos_05_X20,fi_functors,
    ( sK18_sos_05_X20("1","1") = "2"
    & sK18_sos_05_X20("1","2") = "2"
    & sK18_sos_05_X20("1","3") = "1"
    & sK18_sos_05_X20("1","4") = "2"
    & sK18_sos_05_X20("1","5") = "5"
    & sK18_sos_05_X20("2","1") = "5"
    & sK18_sos_05_X20("2","2") = "5"
    & sK18_sos_05_X20("2","3") = "5"
    & sK18_sos_05_X20("2","4") = "1"
    & sK18_sos_05_X20("2","5") = "5"
    & sK18_sos_05_X20("3","1") = "5"
    & sK18_sos_05_X20("3","2") = "4"
    & sK18_sos_05_X20("3","3") = "2"
    & sK18_sos_05_X20("3","4") = "2"
    & sK18_sos_05_X20("3","5") = "5"
    & sK18_sos_05_X20("4","1") = "5"
    & sK18_sos_05_X20("4","2") = "2"
    & sK18_sos_05_X20("4","3") = "2"
    & sK18_sos_05_X20("4","4") = "2"
    & sK18_sos_05_X20("4","5") = "5"
    & sK18_sos_05_X20("5","1") = "4"
    & sK18_sos_05_X20("5","2") = "5"
    & sK18_sos_05_X20("5","3") = "5"
    & sK18_sos_05_X20("5","4") = "5"
    & sK18_sos_05_X20("5","5") = "5" ) ).

fof(sK21_sos_06_X24,fi_functors,
    ( sK21_sos_06_X24("1","1","1") = "1"
    & sK21_sos_06_X24("1","1","2") = "1"
    & sK21_sos_06_X24("1","1","3") = "1"
    & sK21_sos_06_X24("1","1","4") = "5"
    & sK21_sos_06_X24("1","1","5") = "5"
    & sK21_sos_06_X24("1","2","1") = "3"
    & sK21_sos_06_X24("1","2","2") = "2"
    & sK21_sos_06_X24("1","2","3") = "5"
    & sK21_sos_06_X24("1","2","4") = "1"
    & sK21_sos_06_X24("1","2","5") = "4"
    & sK21_sos_06_X24("1","3","1") = "5"
    & sK21_sos_06_X24("1","3","2") = "1"
    & sK21_sos_06_X24("1","3","3") = "2"
    & sK21_sos_06_X24("1","3","4") = "1"
    & sK21_sos_06_X24("1","3","5") = "1"
    & sK21_sos_06_X24("1","4","1") = "3"
    & sK21_sos_06_X24("1","4","2") = "1"
    & sK21_sos_06_X24("1","4","3") = "5"
    & sK21_sos_06_X24("1","4","4") = "1"
    & sK21_sos_06_X24("1","4","5") = "4"
    & sK21_sos_06_X24("1","5","1") = "5"
    & sK21_sos_06_X24("1","5","2") = "5"
    & sK21_sos_06_X24("1","5","3") = "1"
    & sK21_sos_06_X24("1","5","4") = "5"
    & sK21_sos_06_X24("1","5","5") = "5"
    & sK21_sos_06_X24("2","1","1") = "1"
    & sK21_sos_06_X24("2","1","2") = "3"
    & sK21_sos_06_X24("2","1","3") = "1"
    & sK21_sos_06_X24("2","1","4") = "5"
    & sK21_sos_06_X24("2","1","5") = "4"
    & sK21_sos_06_X24("2","2","1") = "1"
    & sK21_sos_06_X24("2","2","2") = "1"
    & sK21_sos_06_X24("2","2","3") = "2"
    & sK21_sos_06_X24("2","2","4") = "5"
    & sK21_sos_06_X24("2","2","5") = "5"
    & sK21_sos_06_X24("2","3","1") = "2"
    & sK21_sos_06_X24("2","3","2") = "5"
    & sK21_sos_06_X24("2","3","3") = "2"
    & sK21_sos_06_X24("2","3","4") = "5"
    & sK21_sos_06_X24("2","3","5") = "5"
    & sK21_sos_06_X24("2","4","1") = "3"
    & sK21_sos_06_X24("2","4","2") = "5"
    & sK21_sos_06_X24("2","4","3") = "1"
    & sK21_sos_06_X24("2","4","4") = "3"
    & sK21_sos_06_X24("2","4","5") = "5"
    & sK21_sos_06_X24("2","5","1") = "5"
    & sK21_sos_06_X24("2","5","2") = "5"
    & sK21_sos_06_X24("2","5","3") = "5"
    & sK21_sos_06_X24("2","5","4") = "5"
    & sK21_sos_06_X24("2","5","5") = "5"
    & sK21_sos_06_X24("3","1","1") = "5"
    & sK21_sos_06_X24("3","1","2") = "2"
    & sK21_sos_06_X24("3","1","3") = "1"
    & sK21_sos_06_X24("3","1","4") = "1"
    & sK21_sos_06_X24("3","1","5") = "4"
    & sK21_sos_06_X24("3","2","1") = "2"
    & sK21_sos_06_X24("3","2","2") = "2"
    & sK21_sos_06_X24("3","2","3") = "2"
    & sK21_sos_06_X24("3","2","4") = "5"
    & sK21_sos_06_X24("3","2","5") = "5"
    & sK21_sos_06_X24("3","3","1") = "1"
    & sK21_sos_06_X24("3","3","2") = "2"
    & sK21_sos_06_X24("3","3","3") = "2"
    & sK21_sos_06_X24("3","3","4") = "1"
    & sK21_sos_06_X24("3","3","5") = "5"
    & sK21_sos_06_X24("3","4","1") = "1"
    & sK21_sos_06_X24("3","4","2") = "2"
    & sK21_sos_06_X24("3","4","3") = "3"
    & sK21_sos_06_X24("3","4","4") = "3"
    & sK21_sos_06_X24("3","4","5") = "4"
    & sK21_sos_06_X24("3","5","1") = "5"
    & sK21_sos_06_X24("3","5","2") = "5"
    & sK21_sos_06_X24("3","5","3") = "5"
    & sK21_sos_06_X24("3","5","4") = "4"
    & sK21_sos_06_X24("3","5","5") = "5"
    & sK21_sos_06_X24("4","1","1") = "3"
    & sK21_sos_06_X24("4","1","2") = "4"
    & sK21_sos_06_X24("4","1","3") = "3"
    & sK21_sos_06_X24("4","1","4") = "1"
    & sK21_sos_06_X24("4","1","5") = "5"
    & sK21_sos_06_X24("4","2","1") = "3"
    & sK21_sos_06_X24("4","2","2") = "1"
    & sK21_sos_06_X24("4","2","3") = "3"
    & sK21_sos_06_X24("4","2","4") = "3"
    & sK21_sos_06_X24("4","2","5") = "4"
    & sK21_sos_06_X24("4","3","1") = "5"
    & sK21_sos_06_X24("4","3","2") = "5"
    & sK21_sos_06_X24("4","3","3") = "4"
    & sK21_sos_06_X24("4","3","4") = "1"
    & sK21_sos_06_X24("4","3","5") = "5"
    & sK21_sos_06_X24("4","4","1") = "4"
    & sK21_sos_06_X24("4","4","2") = "4"
    & sK21_sos_06_X24("4","4","3") = "3"
    & sK21_sos_06_X24("4","4","4") = "3"
    & sK21_sos_06_X24("4","4","5") = "5"
    & sK21_sos_06_X24("4","5","1") = "4"
    & sK21_sos_06_X24("4","5","2") = "4"
    & sK21_sos_06_X24("4","5","3") = "4"
    & sK21_sos_06_X24("4","5","4") = "5"
    & sK21_sos_06_X24("4","5","5") = "5"
    & sK21_sos_06_X24("5","1","1") = "4"
    & sK21_sos_06_X24("5","1","2") = "4"
    & sK21_sos_06_X24("5","1","3") = "4"
    & sK21_sos_06_X24("5","1","4") = "4"
    & sK21_sos_06_X24("5","1","5") = "4"
    & sK21_sos_06_X24("5","2","1") = "5"
    & sK21_sos_06_X24("5","2","2") = "5"
    & sK21_sos_06_X24("5","2","3") = "2"
    & sK21_sos_06_X24("5","2","4") = "4"
    & sK21_sos_06_X24("5","2","5") = "5"
    & sK21_sos_06_X24("5","3","1") = "5"
    & sK21_sos_06_X24("5","3","2") = "5"
    & sK21_sos_06_X24("5","3","3") = "5"
    & sK21_sos_06_X24("5","3","4") = "5"
    & sK21_sos_06_X24("5","3","5") = "5"
    & sK21_sos_06_X24("5","4","1") = "4"
    & sK21_sos_06_X24("5","4","2") = "2"
    & sK21_sos_06_X24("5","4","3") = "4"
    & sK21_sos_06_X24("5","4","4") = "4"
    & sK21_sos_06_X24("5","4","5") = "4"
    & sK21_sos_06_X24("5","5","1") = "4"
    & sK21_sos_06_X24("5","5","2") = "4"
    & sK21_sos_06_X24("5","5","3") = "1"
    & sK21_sos_06_X24("5","5","4") = "4"
    & sK21_sos_06_X24("5","5","5") = "5" ) ).

fof(sK25_sos_07_X27,fi_functors,
    ( sK25_sos_07_X27("1","1") = "3"
    & sK25_sos_07_X27("1","2") = "1"
    & sK25_sos_07_X27("1","3") = "5"
    & sK25_sos_07_X27("1","4") = "5"
    & sK25_sos_07_X27("1","5") = "4"
    & sK25_sos_07_X27("2","1") = "1"
    & sK25_sos_07_X27("2","2") = "5"
    & sK25_sos_07_X27("2","3") = "1"
    & sK25_sos_07_X27("2","4") = "1"
    & sK25_sos_07_X27("2","5") = "4"
    & sK25_sos_07_X27("3","1") = "5"
    & sK25_sos_07_X27("3","2") = "5"
    & sK25_sos_07_X27("3","3") = "2"
    & sK25_sos_07_X27("3","4") = "5"
    & sK25_sos_07_X27("3","5") = "4"
    & sK25_sos_07_X27("4","1") = "1"
    & sK25_sos_07_X27("4","2") = "1"
    & sK25_sos_07_X27("4","3") = "5"
    & sK25_sos_07_X27("4","4") = "1"
    & sK25_sos_07_X27("4","5") = "4"
    & sK25_sos_07_X27("5","1") = "4"
    & sK25_sos_07_X27("5","2") = "4"
    & sK25_sos_07_X27("5","3") = "4"
    & sK25_sos_07_X27("5","4") = "4"
    & sK25_sos_07_X27("5","5") = "4" ) ).

fof(sK41_sos_12_X42,fi_functors,
    ( sK41_sos_12_X42("1") = "1"
    & sK41_sos_12_X42("2") = "5"
    & sK41_sos_12_X42("3") = "2"
    & sK41_sos_12_X42("4") = "4"
    & sK41_sos_12_X42("5") = "1" ) ).

fof(sK44_sos_14_X46,fi_functors,
    ( sK44_sos_14_X46("1","1") = "4"
    & sK44_sos_14_X46("1","2") = "3"
    & sK44_sos_14_X46("1","3") = "1"
    & sK44_sos_14_X46("1","4") = "5"
    & sK44_sos_14_X46("1","5") = "5"
    & sK44_sos_14_X46("2","1") = "2"
    & sK44_sos_14_X46("2","2") = "2"
    & sK44_sos_14_X46("2","3") = "1"
    & sK44_sos_14_X46("2","4") = "5"
    & sK44_sos_14_X46("2","5") = "5"
    & sK44_sos_14_X46("3","1") = "1"
    & sK44_sos_14_X46("3","2") = "1"
    & sK44_sos_14_X46("3","3") = "1"
    & sK44_sos_14_X46("3","4") = "5"
    & sK44_sos_14_X46("3","5") = "2"
    & sK44_sos_14_X46("4","1") = "3"
    & sK44_sos_14_X46("4","2") = "4"
    & sK44_sos_14_X46("4","3") = "4"
    & sK44_sos_14_X46("4","4") = "5"
    & sK44_sos_14_X46("4","5") = "4"
    & sK44_sos_14_X46("5","1") = "5"
    & sK44_sos_14_X46("5","2") = "5"
    & sK44_sos_14_X46("5","3") = "5"
    & sK44_sos_14_X46("5","4") = "5"
    & sK44_sos_14_X46("5","5") = "5" ) ).

fof(sK48_sos_15_X49,fi_functors,
    ( sK48_sos_15_X49("1","1") = "1"
    & sK48_sos_15_X49("1","2") = "2"
    & sK48_sos_15_X49("1","3") = "1"
    & sK48_sos_15_X49("1","4") = "3"
    & sK48_sos_15_X49("1","5") = "5"
    & sK48_sos_15_X49("2","1") = "4"
    & sK48_sos_15_X49("2","2") = "1"
    & sK48_sos_15_X49("2","3") = "1"
    & sK48_sos_15_X49("2","4") = "4"
    & sK48_sos_15_X49("2","5") = "4"
    & sK48_sos_15_X49("3","1") = "2"
    & sK48_sos_15_X49("3","2") = "1"
    & sK48_sos_15_X49("3","3") = "1"
    & sK48_sos_15_X49("3","4") = "5"
    & sK48_sos_15_X49("3","5") = "2"
    & sK48_sos_15_X49("4","1") = "5"
    & sK48_sos_15_X49("4","2") = "2"
    & sK48_sos_15_X49("4","3") = "1"
    & sK48_sos_15_X49("4","4") = "2"
    & sK48_sos_15_X49("4","5") = "5"
    & sK48_sos_15_X49("5","1") = "5"
    & sK48_sos_15_X49("5","2") = "5"
    & sK48_sos_15_X49("5","3") = "5"
    & sK48_sos_15_X49("5","4") = "5"
    & sK48_sos_15_X49("5","5") = "5" ) ).

fof(sK49_sos_15_X50,fi_functors,
    ( sK49_sos_15_X50("1","1") = "3"
    & sK49_sos_15_X50("1","2") = "2"
    & sK49_sos_15_X50("1","3") = "1"
    & sK49_sos_15_X50("1","4") = "1"
    & sK49_sos_15_X50("1","5") = "4"
    & sK49_sos_15_X50("2","1") = "3"
    & sK49_sos_15_X50("2","2") = "4"
    & sK49_sos_15_X50("2","3") = "1"
    & sK49_sos_15_X50("2","4") = "2"
    & sK49_sos_15_X50("2","5") = "5"
    & sK49_sos_15_X50("3","1") = "2"
    & sK49_sos_15_X50("3","2") = "5"
    & sK49_sos_15_X50("3","3") = "5"
    & sK49_sos_15_X50("3","4") = "3"
    & sK49_sos_15_X50("3","5") = "4"
    & sK49_sos_15_X50("4","1") = "3"
    & sK49_sos_15_X50("4","2") = "1"
    & sK49_sos_15_X50("4","3") = "2"
    & sK49_sos_15_X50("4","4") = "2"
    & sK49_sos_15_X50("4","5") = "2"
    & sK49_sos_15_X50("5","1") = "3"
    & sK49_sos_15_X50("5","2") = "2"
    & sK49_sos_15_X50("5","3") = "4"
    & sK49_sos_15_X50("5","4") = "4"
    & sK49_sos_15_X50("5","5") = "3" ) ).

fof(sK58_sos_18_X57,fi_functors,
    ( sK58_sos_18_X57("1","1") = "5"
    & sK58_sos_18_X57("1","2") = "2"
    & sK58_sos_18_X57("1","3") = "5"
    & sK58_sos_18_X57("1","4") = "4"
    & sK58_sos_18_X57("1","5") = "5"
    & sK58_sos_18_X57("2","1") = "1"
    & sK58_sos_18_X57("2","2") = "5"
    & sK58_sos_18_X57("2","3") = "2"
    & sK58_sos_18_X57("2","4") = "4"
    & sK58_sos_18_X57("2","5") = "1"
    & sK58_sos_18_X57("3","1") = "1"
    & sK58_sos_18_X57("3","2") = "5"
    & sK58_sos_18_X57("3","3") = "5"
    & sK58_sos_18_X57("3","4") = "5"
    & sK58_sos_18_X57("3","5") = "1"
    & sK58_sos_18_X57("4","1") = "1"
    & sK58_sos_18_X57("4","2") = "5"
    & sK58_sos_18_X57("4","3") = "1"
    & sK58_sos_18_X57("4","4") = "5"
    & sK58_sos_18_X57("4","5") = "5"
    & sK58_sos_18_X57("5","1") = "5"
    & sK58_sos_18_X57("5","2") = "5"
    & sK58_sos_18_X57("5","3") = "5"
    & sK58_sos_18_X57("5","4") = "5"
    & sK58_sos_18_X57("5","5") = "5" ) ).

fof(sK62_sos_19_X60,fi_functors,
    ( sK62_sos_19_X60("1","1") = "2"
    & sK62_sos_19_X60("1","2") = "1"
    & sK62_sos_19_X60("1","3") = "5"
    & sK62_sos_19_X60("1","4") = "3"
    & sK62_sos_19_X60("1","5") = "5"
    & sK62_sos_19_X60("2","1") = "1"
    & sK62_sos_19_X60("2","2") = "5"
    & sK62_sos_19_X60("2","3") = "1"
    & sK62_sos_19_X60("2","4") = "4"
    & sK62_sos_19_X60("2","5") = "5"
    & sK62_sos_19_X60("3","1") = "1"
    & sK62_sos_19_X60("3","2") = "2"
    & sK62_sos_19_X60("3","3") = "2"
    & sK62_sos_19_X60("3","4") = "3"
    & sK62_sos_19_X60("3","5") = "1"
    & sK62_sos_19_X60("4","1") = "1"
    & sK62_sos_19_X60("4","2") = "5"
    & sK62_sos_19_X60("4","3") = "5"
    & sK62_sos_19_X60("4","4") = "4"
    & sK62_sos_19_X60("4","5") = "1"
    & sK62_sos_19_X60("5","1") = "1"
    & sK62_sos_19_X60("5","2") = "4"
    & sK62_sos_19_X60("5","3") = "5"
    & sK62_sos_19_X60("5","4") = "5"
    & sK62_sos_19_X60("5","5") = "5" ) ).

fof(sK73_sos_23_X71,fi_functors,
    ( sK73_sos_23_X71("1","1") = "4"
    & sK73_sos_23_X71("1","2") = "4"
    & sK73_sos_23_X71("1","3") = "4"
    & sK73_sos_23_X71("1","4") = "3"
    & sK73_sos_23_X71("1","5") = "4"
    & sK73_sos_23_X71("2","1") = "1"
    & sK73_sos_23_X71("2","2") = "1"
    & sK73_sos_23_X71("2","3") = "4"
    & sK73_sos_23_X71("2","4") = "2"
    & sK73_sos_23_X71("2","5") = "2"
    & sK73_sos_23_X71("3","1") = "5"
    & sK73_sos_23_X71("3","2") = "1"
    & sK73_sos_23_X71("3","3") = "4"
    & sK73_sos_23_X71("3","4") = "1"
    & sK73_sos_23_X71("3","5") = "3"
    & sK73_sos_23_X71("4","1") = "2"
    & sK73_sos_23_X71("4","2") = "4"
    & sK73_sos_23_X71("4","3") = "3"
    & sK73_sos_23_X71("4","4") = "2"
    & sK73_sos_23_X71("4","5") = "4"
    & sK73_sos_23_X71("5","1") = "2"
    & sK73_sos_23_X71("5","2") = "4"
    & sK73_sos_23_X71("5","3") = "2"
    & sK73_sos_23_X71("5","4") = "3"
    & sK73_sos_23_X71("5","5") = "2" ) ).

fof(sK83_sos_26_X81,fi_functors,
    ( sK83_sos_26_X81("1","1","1") = "5"
    & sK83_sos_26_X81("1","1","2") = "5"
    & sK83_sos_26_X81("1","1","3") = "1"
    & sK83_sos_26_X81("1","1","4") = "3"
    & sK83_sos_26_X81("1","1","5") = "5"
    & sK83_sos_26_X81("1","2","1") = "5"
    & sK83_sos_26_X81("1","2","2") = "2"
    & sK83_sos_26_X81("1","2","3") = "4"
    & sK83_sos_26_X81("1","2","4") = "2"
    & sK83_sos_26_X81("1","2","5") = "2"
    & sK83_sos_26_X81("1","3","1") = "1"
    & sK83_sos_26_X81("1","3","2") = "4"
    & sK83_sos_26_X81("1","3","3") = "1"
    & sK83_sos_26_X81("1","3","4") = "4"
    & sK83_sos_26_X81("1","3","5") = "2"
    & sK83_sos_26_X81("1","4","1") = "5"
    & sK83_sos_26_X81("1","4","2") = "2"
    & sK83_sos_26_X81("1","4","3") = "2"
    & sK83_sos_26_X81("1","4","4") = "3"
    & sK83_sos_26_X81("1","4","5") = "2"
    & sK83_sos_26_X81("1","5","1") = "5"
    & sK83_sos_26_X81("1","5","2") = "2"
    & sK83_sos_26_X81("1","5","3") = "5"
    & sK83_sos_26_X81("1","5","4") = "2"
    & sK83_sos_26_X81("1","5","5") = "4"
    & sK83_sos_26_X81("2","1","1") = "3"
    & sK83_sos_26_X81("2","1","2") = "2"
    & sK83_sos_26_X81("2","1","3") = "1"
    & sK83_sos_26_X81("2","1","4") = "5"
    & sK83_sos_26_X81("2","1","5") = "5"
    & sK83_sos_26_X81("2","2","1") = "1"
    & sK83_sos_26_X81("2","2","2") = "1"
    & sK83_sos_26_X81("2","2","3") = "1"
    & sK83_sos_26_X81("2","2","4") = "5"
    & sK83_sos_26_X81("2","2","5") = "5"
    & sK83_sos_26_X81("2","3","1") = "1"
    & sK83_sos_26_X81("2","3","2") = "1"
    & sK83_sos_26_X81("2","3","3") = "3"
    & sK83_sos_26_X81("2","3","4") = "5"
    & sK83_sos_26_X81("2","3","5") = "5"
    & sK83_sos_26_X81("2","4","1") = "5"
    & sK83_sos_26_X81("2","4","2") = "3"
    & sK83_sos_26_X81("2","4","3") = "3"
    & sK83_sos_26_X81("2","4","4") = "5"
    & sK83_sos_26_X81("2","4","5") = "5"
    & sK83_sos_26_X81("2","5","1") = "4"
    & sK83_sos_26_X81("2","5","2") = "2"
    & sK83_sos_26_X81("2","5","3") = "2"
    & sK83_sos_26_X81("2","5","4") = "5"
    & sK83_sos_26_X81("2","5","5") = "4"
    & sK83_sos_26_X81("3","1","1") = "1"
    & sK83_sos_26_X81("3","1","2") = "5"
    & sK83_sos_26_X81("3","1","3") = "5"
    & sK83_sos_26_X81("3","1","4") = "2"
    & sK83_sos_26_X81("3","1","5") = "5"
    & sK83_sos_26_X81("3","2","1") = "1"
    & sK83_sos_26_X81("3","2","2") = "2"
    & sK83_sos_26_X81("3","2","3") = "2"
    & sK83_sos_26_X81("3","2","4") = "3"
    & sK83_sos_26_X81("3","2","5") = "5"
    & sK83_sos_26_X81("3","3","1") = "1"
    & sK83_sos_26_X81("3","3","2") = "1"
    & sK83_sos_26_X81("3","3","3") = "1"
    & sK83_sos_26_X81("3","3","4") = "3"
    & sK83_sos_26_X81("3","3","5") = "5"
    & sK83_sos_26_X81("3","4","1") = "3"
    & sK83_sos_26_X81("3","4","2") = "2"
    & sK83_sos_26_X81("3","4","3") = "5"
    & sK83_sos_26_X81("3","4","4") = "3"
    & sK83_sos_26_X81("3","4","5") = "5"
    & sK83_sos_26_X81("3","5","1") = "4"
    & sK83_sos_26_X81("3","5","2") = "5"
    & sK83_sos_26_X81("3","5","3") = "5"
    & sK83_sos_26_X81("3","5","4") = "5"
    & sK83_sos_26_X81("3","5","5") = "4"
    & sK83_sos_26_X81("4","1","1") = "3"
    & sK83_sos_26_X81("4","1","2") = "5"
    & sK83_sos_26_X81("4","1","3") = "3"
    & sK83_sos_26_X81("4","1","4") = "5"
    & sK83_sos_26_X81("4","1","5") = "5"
    & sK83_sos_26_X81("4","2","1") = "5"
    & sK83_sos_26_X81("4","2","2") = "3"
    & sK83_sos_26_X81("4","2","3") = "5"
    & sK83_sos_26_X81("4","2","4") = "5"
    & sK83_sos_26_X81("4","2","5") = "5"
    & sK83_sos_26_X81("4","3","1") = "3"
    & sK83_sos_26_X81("4","3","2") = "5"
    & sK83_sos_26_X81("4","3","3") = "3"
    & sK83_sos_26_X81("4","3","4") = "3"
    & sK83_sos_26_X81("4","3","5") = "5"
    & sK83_sos_26_X81("4","4","1") = "3"
    & sK83_sos_26_X81("4","4","2") = "3"
    & sK83_sos_26_X81("4","4","3") = "3"
    & sK83_sos_26_X81("4","4","4") = "2"
    & sK83_sos_26_X81("4","4","5") = "5"
    & sK83_sos_26_X81("4","5","1") = "4"
    & sK83_sos_26_X81("4","5","2") = "2"
    & sK83_sos_26_X81("4","5","3") = "4"
    & sK83_sos_26_X81("4","5","4") = "5"
    & sK83_sos_26_X81("4","5","5") = "5"
    & sK83_sos_26_X81("5","1","1") = "5"
    & sK83_sos_26_X81("5","1","2") = "4"
    & sK83_sos_26_X81("5","1","3") = "4"
    & sK83_sos_26_X81("5","1","4") = "2"
    & sK83_sos_26_X81("5","1","5") = "4"
    & sK83_sos_26_X81("5","2","1") = "5"
    & sK83_sos_26_X81("5","2","2") = "5"
    & sK83_sos_26_X81("5","2","3") = "3"
    & sK83_sos_26_X81("5","2","4") = "5"
    & sK83_sos_26_X81("5","2","5") = "5"
    & sK83_sos_26_X81("5","3","1") = "5"
    & sK83_sos_26_X81("5","3","2") = "5"
    & sK83_sos_26_X81("5","3","3") = "5"
    & sK83_sos_26_X81("5","3","4") = "2"
    & sK83_sos_26_X81("5","3","5") = "5"
    & sK83_sos_26_X81("5","4","1") = "5"
    & sK83_sos_26_X81("5","4","2") = "5"
    & sK83_sos_26_X81("5","4","3") = "5"
    & sK83_sos_26_X81("5","4","4") = "5"
    & sK83_sos_26_X81("5","4","5") = "5"
    & sK83_sos_26_X81("5","5","1") = "5"
    & sK83_sos_26_X81("5","5","2") = "5"
    & sK83_sos_26_X81("5","5","3") = "5"
    & sK83_sos_26_X81("5","5","4") = "3"
    & sK83_sos_26_X81("5","5","5") = "5" ) ).

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

fof(subactivity_occurrence,fi_predicates,
    ( ( subactivity_occurrence("1","1")
    <=> $false )
    & ( subactivity_occurrence("1","2")
    <=> $false )
    & ( subactivity_occurrence("1","3")
    <=> $false )
    & ( subactivity_occurrence("1","4")
    <=> $false )
    & ( subactivity_occurrence("1","5")
    <=> $false )
    & ( subactivity_occurrence("2","1")
    <=> $true )
    & ( subactivity_occurrence("2","2")
    <=> $true )
    & ( subactivity_occurrence("2","3")
    <=> $false )
    & ( subactivity_occurrence("2","4")
    <=> $true )
    & ( subactivity_occurrence("2","5")
    <=> $true )
    & ( subactivity_occurrence("3","1")
    <=> $false )
    & ( subactivity_occurrence("3","2")
    <=> $false )
    & ( subactivity_occurrence("3","3")
    <=> $false )
    & ( subactivity_occurrence("3","4")
    <=> $false )
    & ( subactivity_occurrence("3","5")
    <=> $true )
    & ( subactivity_occurrence("4","1")
    <=> $true )
    & ( subactivity_occurrence("4","2")
    <=> $true )
    & ( subactivity_occurrence("4","3")
    <=> $false )
    & ( subactivity_occurrence("4","4")
    <=> $true )
    & ( subactivity_occurrence("4","5")
    <=> $true )
    & ( subactivity_occurrence("5","1")
    <=> $false )
    & ( subactivity_occurrence("5","2")
    <=> $true )
    & ( subactivity_occurrence("5","3")
    <=> $true )
    & ( subactivity_occurrence("5","4")
    <=> $true )
    & ( subactivity_occurrence("5","5")
    <=> $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
% 0.07/0.13  % Problem  : PRO013+4 : TPTP v8.1.0. Released v4.0.0.
% 0.07/0.13  % Command  : paradox --no-progress --time %d --tstp --model %s
% 0.12/0.35  % Computer : n005.cluster.edu
% 0.12/0.35  % Model    : x86_64 x86_64
% 0.12/0.35  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.35  % Memory   : 8042.1875MB
% 0.12/0.35  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.12/0.35  % CPULimit : 300
% 0.12/0.35  % WCLimit  : 600
% 0.12/0.35  % DateTime : Mon Jun 13 02:49:24 EDT 2022
% 0.12/0.35  % CPUTime  : 
% 0.12/0.35  Paradox, version 4.0, 2010-06-29.
% 0.12/0.35  +++ PROBLEM: /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.12/0.35  Reading '/export/starexec/sandbox2/benchmark/theBenchmark.p' ... OK
% 0.12/0.37  +++ SOLVING: /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.20/0.44  +++ BEGIN MODEL
% 0.20/0.44  SZS output start FiniteModel for /export/starexec/sandbox2/benchmark/theBenchmark.p
% See solution above
% 0.20/0.45  +++ END MODEL
% 0.20/0.46  +++ RESULT: CounterSatisfiable
% 0.20/0.46  SZS status CounterSatisfiable for /export/starexec/sandbox2/benchmark/theBenchmark.p
%------------------------------------------------------------------------------