TSTP Solution File: PLA025+1 by Paradox---4.0

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Paradox---4.0
% Problem  : PLA025+1 : TPTP v8.1.0. Bugfixed v2.5.0.
% Transfm  : none
% Format   : tptp:short
% Command  : paradox --no-progress --time %d --tstp --model %s

% Computer : n023.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 17:27:19 EDT 2022

% Result   : CounterSatisfiable 0.20s 0.53s
% Output   : FiniteModel 0.20s
% Verified : 
% SZS Type : FiniteModel
%            Domain size           :   10

% Comments : 
%------------------------------------------------------------------------------
% domain size is 10
fof(domain,fi_domain,
    ! [X] :
      ( X = "1"
      | X = "2"
      | X = "3"
      | X = "4"
      | X = "5"
      | X = "6"
      | X = "7"
      | X = "8"
      | X = "9"
      | X = "10" ) ).

fof(a_block,fi_predicates,
    ( ( a_block("1")
    <=> $true )
    & ( a_block("2")
    <=> $true )
    & ( a_block("3")
    <=> $true )
    & ( a_block("4")
    <=> $true )
    & ( a_block("5")
    <=> $true )
    & ( a_block("6")
    <=> $true )
    & ( a_block("7")
    <=> $true )
    & ( a_block("8")
    <=> $true )
    & ( a_block("9")
    <=> $true )
    & ( a_block("10")
    <=> $true ) ) ).

fof(block_1,fi_functors,
    block_1 = "2" ).

fof(block_2,fi_functors,
    block_2 = "3" ).

fof(block_3,fi_functors,
    block_3 = "4" ).

fof(block_4,fi_functors,
    block_4 = "5" ).

fof(block_5,fi_functors,
    block_5 = "6" ).

fof(block_6,fi_functors,
    block_6 = "7" ).

fof(block_7,fi_functors,
    block_7 = "8" ).

fof(block_8,fi_functors,
    block_8 = "9" ).

fof(block_9,fi_functors,
    block_9 = "10" ).

fof(clear,fi_predicates,
    ( ( clear("1","1")
    <=> $false )
    & ( clear("1","2")
    <=> $false )
    & ( clear("1","3")
    <=> $false )
    & ( clear("1","4")
    <=> $false )
    & ( clear("1","5")
    <=> $false )
    & ( clear("1","6")
    <=> $false )
    & ( clear("1","7")
    <=> $false )
    & ( clear("1","8")
    <=> $false )
    & ( clear("1","9")
    <=> $false )
    & ( clear("1","10")
    <=> $false )
    & ( clear("2","1")
    <=> $false )
    & ( clear("2","2")
    <=> $true )
    & ( clear("2","3")
    <=> $false )
    & ( clear("2","4")
    <=> $false )
    & ( clear("2","5")
    <=> $false )
    & ( clear("2","6")
    <=> $false )
    & ( clear("2","7")
    <=> $false )
    & ( clear("2","8")
    <=> $false )
    & ( clear("2","9")
    <=> $false )
    & ( clear("2","10")
    <=> $true )
    & ( clear("3","1")
    <=> $false )
    & ( clear("3","2")
    <=> $false )
    & ( clear("3","3")
    <=> $false )
    & ( clear("3","4")
    <=> $false )
    & ( clear("3","5")
    <=> $false )
    & ( clear("3","6")
    <=> $false )
    & ( clear("3","7")
    <=> $false )
    & ( clear("3","8")
    <=> $false )
    & ( clear("3","9")
    <=> $false )
    & ( clear("3","10")
    <=> $false )
    & ( clear("4","1")
    <=> $true )
    & ( clear("4","2")
    <=> $true )
    & ( clear("4","3")
    <=> $false )
    & ( clear("4","4")
    <=> $false )
    & ( clear("4","5")
    <=> $false )
    & ( clear("4","6")
    <=> $false )
    & ( clear("4","7")
    <=> $false )
    & ( clear("4","8")
    <=> $true )
    & ( clear("4","9")
    <=> $false )
    & ( clear("4","10")
    <=> $false )
    & ( clear("5","1")
    <=> $false )
    & ( clear("5","2")
    <=> $true )
    & ( clear("5","3")
    <=> $false )
    & ( clear("5","4")
    <=> $false )
    & ( clear("5","5")
    <=> $true )
    & ( clear("5","6")
    <=> $false )
    & ( clear("5","7")
    <=> $false )
    & ( clear("5","8")
    <=> $false )
    & ( clear("5","9")
    <=> $false )
    & ( clear("5","10")
    <=> $true )
    & ( clear("6","1")
    <=> $true )
    & ( clear("6","2")
    <=> $true )
    & ( clear("6","3")
    <=> $true )
    & ( clear("6","4")
    <=> $true )
    & ( clear("6","5")
    <=> $true )
    & ( clear("6","6")
    <=> $true )
    & ( clear("6","7")
    <=> $true )
    & ( clear("6","8")
    <=> $true )
    & ( clear("6","9")
    <=> $false )
    & ( clear("6","10")
    <=> $true )
    & ( clear("7","1")
    <=> $false )
    & ( clear("7","2")
    <=> $true )
    & ( clear("7","3")
    <=> $false )
    & ( clear("7","4")
    <=> $true )
    & ( clear("7","5")
    <=> $false )
    & ( clear("7","6")
    <=> $false )
    & ( clear("7","7")
    <=> $false )
    & ( clear("7","8")
    <=> $false )
    & ( clear("7","9")
    <=> $true )
    & ( clear("7","10")
    <=> $true )
    & ( clear("8","1")
    <=> $false )
    & ( clear("8","2")
    <=> $false )
    & ( clear("8","3")
    <=> $true )
    & ( clear("8","4")
    <=> $true )
    & ( clear("8","5")
    <=> $true )
    & ( clear("8","6")
    <=> $true )
    & ( clear("8","7")
    <=> $false )
    & ( clear("8","8")
    <=> $false )
    & ( clear("8","9")
    <=> $true )
    & ( clear("8","10")
    <=> $false )
    & ( clear("9","1")
    <=> $false )
    & ( clear("9","2")
    <=> $true )
    & ( clear("9","3")
    <=> $true )
    & ( clear("9","4")
    <=> $true )
    & ( clear("9","5")
    <=> $true )
    & ( clear("9","6")
    <=> $true )
    & ( clear("9","7")
    <=> $true )
    & ( clear("9","8")
    <=> $true )
    & ( clear("9","9")
    <=> $true )
    & ( clear("9","10")
    <=> $true )
    & ( clear("10","1")
    <=> $true )
    & ( clear("10","2")
    <=> $false )
    & ( clear("10","3")
    <=> $false )
    & ( clear("10","4")
    <=> $false )
    & ( clear("10","5")
    <=> $false )
    & ( clear("10","6")
    <=> $true )
    & ( clear("10","7")
    <=> $true )
    & ( clear("10","8")
    <=> $true )
    & ( clear("10","9")
    <=> $false )
    & ( clear("10","10")
    <=> $true ) ) ).

fof(destination,fi_predicates,
    ( ( destination("1","1")
    <=> $true )
    & ( destination("1","2")
    <=> $false )
    & ( destination("1","3")
    <=> $true )
    & ( destination("1","4")
    <=> $false )
    & ( destination("1","5")
    <=> $false )
    & ( destination("1","6")
    <=> $false )
    & ( destination("1","7")
    <=> $true )
    & ( destination("1","8")
    <=> $false )
    & ( destination("1","9")
    <=> $false )
    & ( destination("1","10")
    <=> $false )
    & ( destination("2","1")
    <=> $false )
    & ( destination("2","2")
    <=> $false )
    & ( destination("2","3")
    <=> $false )
    & ( destination("2","4")
    <=> $false )
    & ( destination("2","5")
    <=> $false )
    & ( destination("2","6")
    <=> $false )
    & ( destination("2","7")
    <=> $false )
    & ( destination("2","8")
    <=> $false )
    & ( destination("2","9")
    <=> $false )
    & ( destination("2","10")
    <=> $false )
    & ( destination("3","1")
    <=> $false )
    & ( destination("3","2")
    <=> $false )
    & ( destination("3","3")
    <=> $false )
    & ( destination("3","4")
    <=> $false )
    & ( destination("3","5")
    <=> $false )
    & ( destination("3","6")
    <=> $false )
    & ( destination("3","7")
    <=> $false )
    & ( destination("3","8")
    <=> $false )
    & ( destination("3","9")
    <=> $false )
    & ( destination("3","10")
    <=> $false )
    & ( destination("4","1")
    <=> $false )
    & ( destination("4","2")
    <=> $true )
    & ( destination("4","3")
    <=> $false )
    & ( destination("4","4")
    <=> $false )
    & ( destination("4","5")
    <=> $false )
    & ( destination("4","6")
    <=> $false )
    & ( destination("4","7")
    <=> $false )
    & ( destination("4","8")
    <=> $true )
    & ( destination("4","9")
    <=> $false )
    & ( destination("4","10")
    <=> $false )
    & ( destination("5","1")
    <=> $false )
    & ( destination("5","2")
    <=> $false )
    & ( destination("5","3")
    <=> $false )
    & ( destination("5","4")
    <=> $false )
    & ( destination("5","5")
    <=> $true )
    & ( destination("5","6")
    <=> $false )
    & ( destination("5","7")
    <=> $false )
    & ( destination("5","8")
    <=> $false )
    & ( destination("5","9")
    <=> $false )
    & ( destination("5","10")
    <=> $false )
    & ( destination("6","1")
    <=> $false )
    & ( destination("6","2")
    <=> $false )
    & ( destination("6","3")
    <=> $false )
    & ( destination("6","4")
    <=> $false )
    & ( destination("6","5")
    <=> $false )
    & ( destination("6","6")
    <=> $false )
    & ( destination("6","7")
    <=> $false )
    & ( destination("6","8")
    <=> $false )
    & ( destination("6","9")
    <=> $false )
    & ( destination("6","10")
    <=> $false )
    & ( destination("7","1")
    <=> $false )
    & ( destination("7","2")
    <=> $false )
    & ( destination("7","3")
    <=> $false )
    & ( destination("7","4")
    <=> $true )
    & ( destination("7","5")
    <=> $false )
    & ( destination("7","6")
    <=> $false )
    & ( destination("7","7")
    <=> $false )
    & ( destination("7","8")
    <=> $false )
    & ( destination("7","9")
    <=> $true )
    & ( destination("7","10")
    <=> $false )
    & ( destination("8","1")
    <=> $false )
    & ( destination("8","2")
    <=> $false )
    & ( destination("8","3")
    <=> $false )
    & ( destination("8","4")
    <=> $false )
    & ( destination("8","5")
    <=> $false )
    & ( destination("8","6")
    <=> $false )
    & ( destination("8","7")
    <=> $false )
    & ( destination("8","8")
    <=> $false )
    & ( destination("8","9")
    <=> $false )
    & ( destination("8","10")
    <=> $false )
    & ( destination("9","1")
    <=> $false )
    & ( destination("9","2")
    <=> $false )
    & ( destination("9","3")
    <=> $false )
    & ( destination("9","4")
    <=> $false )
    & ( destination("9","5")
    <=> $false )
    & ( destination("9","6")
    <=> $false )
    & ( destination("9","7")
    <=> $false )
    & ( destination("9","8")
    <=> $false )
    & ( destination("9","9")
    <=> $false )
    & ( destination("9","10")
    <=> $false )
    & ( destination("10","1")
    <=> $false )
    & ( destination("10","2")
    <=> $false )
    & ( destination("10","3")
    <=> $false )
    & ( destination("10","4")
    <=> $false )
    & ( destination("10","5")
    <=> $false )
    & ( destination("10","6")
    <=> $true )
    & ( destination("10","7")
    <=> $false )
    & ( destination("10","8")
    <=> $false )
    & ( destination("10","9")
    <=> $false )
    & ( destination("10","10")
    <=> $true ) ) ).

fof(different,fi_predicates,
    ( ( different("1","1")
    <=> $false )
    & ( different("1","2")
    <=> $false )
    & ( different("1","3")
    <=> $false )
    & ( different("1","4")
    <=> $false )
    & ( different("1","5")
    <=> $false )
    & ( different("1","6")
    <=> $false )
    & ( different("1","7")
    <=> $false )
    & ( different("1","8")
    <=> $false )
    & ( different("1","9")
    <=> $false )
    & ( different("1","10")
    <=> $false )
    & ( different("2","1")
    <=> $true )
    & ( different("2","2")
    <=> $false )
    & ( different("2","3")
    <=> $true )
    & ( different("2","4")
    <=> $true )
    & ( different("2","5")
    <=> $true )
    & ( different("2","6")
    <=> $true )
    & ( different("2","7")
    <=> $true )
    & ( different("2","8")
    <=> $true )
    & ( different("2","9")
    <=> $true )
    & ( different("2","10")
    <=> $true )
    & ( different("3","1")
    <=> $true )
    & ( different("3","2")
    <=> $false )
    & ( different("3","3")
    <=> $false )
    & ( different("3","4")
    <=> $true )
    & ( different("3","5")
    <=> $true )
    & ( different("3","6")
    <=> $true )
    & ( different("3","7")
    <=> $true )
    & ( different("3","8")
    <=> $true )
    & ( different("3","9")
    <=> $true )
    & ( different("3","10")
    <=> $true )
    & ( different("4","1")
    <=> $true )
    & ( different("4","2")
    <=> $false )
    & ( different("4","3")
    <=> $false )
    & ( different("4","4")
    <=> $false )
    & ( different("4","5")
    <=> $true )
    & ( different("4","6")
    <=> $true )
    & ( different("4","7")
    <=> $true )
    & ( different("4","8")
    <=> $true )
    & ( different("4","9")
    <=> $true )
    & ( different("4","10")
    <=> $true )
    & ( different("5","1")
    <=> $true )
    & ( different("5","2")
    <=> $false )
    & ( different("5","3")
    <=> $false )
    & ( different("5","4")
    <=> $false )
    & ( different("5","5")
    <=> $false )
    & ( different("5","6")
    <=> $true )
    & ( different("5","7")
    <=> $true )
    & ( different("5","8")
    <=> $true )
    & ( different("5","9")
    <=> $true )
    & ( different("5","10")
    <=> $true )
    & ( different("6","1")
    <=> $true )
    & ( different("6","2")
    <=> $false )
    & ( different("6","3")
    <=> $false )
    & ( different("6","4")
    <=> $false )
    & ( different("6","5")
    <=> $false )
    & ( different("6","6")
    <=> $false )
    & ( different("6","7")
    <=> $true )
    & ( different("6","8")
    <=> $true )
    & ( different("6","9")
    <=> $true )
    & ( different("6","10")
    <=> $true )
    & ( different("7","1")
    <=> $true )
    & ( different("7","2")
    <=> $false )
    & ( different("7","3")
    <=> $false )
    & ( different("7","4")
    <=> $false )
    & ( different("7","5")
    <=> $false )
    & ( different("7","6")
    <=> $false )
    & ( different("7","7")
    <=> $false )
    & ( different("7","8")
    <=> $true )
    & ( different("7","9")
    <=> $true )
    & ( different("7","10")
    <=> $true )
    & ( different("8","1")
    <=> $true )
    & ( different("8","2")
    <=> $false )
    & ( different("8","3")
    <=> $false )
    & ( different("8","4")
    <=> $false )
    & ( different("8","5")
    <=> $false )
    & ( different("8","6")
    <=> $false )
    & ( different("8","7")
    <=> $false )
    & ( different("8","8")
    <=> $false )
    & ( different("8","9")
    <=> $true )
    & ( different("8","10")
    <=> $true )
    & ( different("9","1")
    <=> $true )
    & ( different("9","2")
    <=> $false )
    & ( different("9","3")
    <=> $false )
    & ( different("9","4")
    <=> $false )
    & ( different("9","5")
    <=> $false )
    & ( different("9","6")
    <=> $false )
    & ( different("9","7")
    <=> $false )
    & ( different("9","8")
    <=> $false )
    & ( different("9","9")
    <=> $false )
    & ( different("9","10")
    <=> $true )
    & ( different("10","1")
    <=> $true )
    & ( different("10","2")
    <=> $false )
    & ( different("10","3")
    <=> $false )
    & ( different("10","4")
    <=> $false )
    & ( different("10","5")
    <=> $false )
    & ( different("10","6")
    <=> $false )
    & ( different("10","7")
    <=> $false )
    & ( different("10","8")
    <=> $false )
    & ( different("10","9")
    <=> $false )
    & ( different("10","10")
    <=> $false ) ) ).

fof(fixed,fi_predicates,
    ( ( fixed("1")
    <=> $true )
    & ( fixed("2")
    <=> $false )
    & ( fixed("3")
    <=> $false )
    & ( fixed("4")
    <=> $false )
    & ( fixed("5")
    <=> $false )
    & ( fixed("6")
    <=> $false )
    & ( fixed("7")
    <=> $false )
    & ( fixed("8")
    <=> $false )
    & ( fixed("9")
    <=> $false )
    & ( fixed("10")
    <=> $false ) ) ).

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

fof(neq,fi_predicates,
    ( ( neq("1","1")
    <=> $false )
    & ( neq("1","2")
    <=> $true )
    & ( neq("1","3")
    <=> $true )
    & ( neq("1","4")
    <=> $true )
    & ( neq("1","5")
    <=> $true )
    & ( neq("1","6")
    <=> $true )
    & ( neq("1","7")
    <=> $true )
    & ( neq("1","8")
    <=> $true )
    & ( neq("1","9")
    <=> $true )
    & ( neq("1","10")
    <=> $true )
    & ( neq("2","1")
    <=> $true )
    & ( neq("2","2")
    <=> $false )
    & ( neq("2","3")
    <=> $true )
    & ( neq("2","4")
    <=> $true )
    & ( neq("2","5")
    <=> $true )
    & ( neq("2","6")
    <=> $true )
    & ( neq("2","7")
    <=> $true )
    & ( neq("2","8")
    <=> $true )
    & ( neq("2","9")
    <=> $true )
    & ( neq("2","10")
    <=> $true )
    & ( neq("3","1")
    <=> $true )
    & ( neq("3","2")
    <=> $true )
    & ( neq("3","3")
    <=> $false )
    & ( neq("3","4")
    <=> $true )
    & ( neq("3","5")
    <=> $true )
    & ( neq("3","6")
    <=> $true )
    & ( neq("3","7")
    <=> $true )
    & ( neq("3","8")
    <=> $true )
    & ( neq("3","9")
    <=> $true )
    & ( neq("3","10")
    <=> $true )
    & ( neq("4","1")
    <=> $true )
    & ( neq("4","2")
    <=> $true )
    & ( neq("4","3")
    <=> $true )
    & ( neq("4","4")
    <=> $false )
    & ( neq("4","5")
    <=> $true )
    & ( neq("4","6")
    <=> $true )
    & ( neq("4","7")
    <=> $true )
    & ( neq("4","8")
    <=> $true )
    & ( neq("4","9")
    <=> $true )
    & ( neq("4","10")
    <=> $true )
    & ( neq("5","1")
    <=> $true )
    & ( neq("5","2")
    <=> $true )
    & ( neq("5","3")
    <=> $true )
    & ( neq("5","4")
    <=> $true )
    & ( neq("5","5")
    <=> $false )
    & ( neq("5","6")
    <=> $true )
    & ( neq("5","7")
    <=> $true )
    & ( neq("5","8")
    <=> $true )
    & ( neq("5","9")
    <=> $true )
    & ( neq("5","10")
    <=> $true )
    & ( neq("6","1")
    <=> $true )
    & ( neq("6","2")
    <=> $true )
    & ( neq("6","3")
    <=> $true )
    & ( neq("6","4")
    <=> $true )
    & ( neq("6","5")
    <=> $true )
    & ( neq("6","6")
    <=> $false )
    & ( neq("6","7")
    <=> $true )
    & ( neq("6","8")
    <=> $true )
    & ( neq("6","9")
    <=> $true )
    & ( neq("6","10")
    <=> $true )
    & ( neq("7","1")
    <=> $true )
    & ( neq("7","2")
    <=> $true )
    & ( neq("7","3")
    <=> $true )
    & ( neq("7","4")
    <=> $true )
    & ( neq("7","5")
    <=> $true )
    & ( neq("7","6")
    <=> $true )
    & ( neq("7","7")
    <=> $false )
    & ( neq("7","8")
    <=> $true )
    & ( neq("7","9")
    <=> $true )
    & ( neq("7","10")
    <=> $true )
    & ( neq("8","1")
    <=> $true )
    & ( neq("8","2")
    <=> $true )
    & ( neq("8","3")
    <=> $true )
    & ( neq("8","4")
    <=> $true )
    & ( neq("8","5")
    <=> $true )
    & ( neq("8","6")
    <=> $true )
    & ( neq("8","7")
    <=> $true )
    & ( neq("8","8")
    <=> $false )
    & ( neq("8","9")
    <=> $true )
    & ( neq("8","10")
    <=> $true )
    & ( neq("9","1")
    <=> $true )
    & ( neq("9","2")
    <=> $true )
    & ( neq("9","3")
    <=> $true )
    & ( neq("9","4")
    <=> $true )
    & ( neq("9","5")
    <=> $true )
    & ( neq("9","6")
    <=> $true )
    & ( neq("9","7")
    <=> $true )
    & ( neq("9","8")
    <=> $true )
    & ( neq("9","9")
    <=> $false )
    & ( neq("9","10")
    <=> $true )
    & ( neq("10","1")
    <=> $true )
    & ( neq("10","2")
    <=> $true )
    & ( neq("10","3")
    <=> $true )
    & ( neq("10","4")
    <=> $true )
    & ( neq("10","5")
    <=> $true )
    & ( neq("10","6")
    <=> $true )
    & ( neq("10","7")
    <=> $true )
    & ( neq("10","8")
    <=> $true )
    & ( neq("10","9")
    <=> $true )
    & ( neq("10","10")
    <=> $false ) ) ).

fof(nonfixed,fi_predicates,
    ( ( nonfixed("1")
    <=> $false )
    & ( nonfixed("2")
    <=> $true )
    & ( nonfixed("3")
    <=> $true )
    & ( nonfixed("4")
    <=> $true )
    & ( nonfixed("5")
    <=> $true )
    & ( nonfixed("6")
    <=> $true )
    & ( nonfixed("7")
    <=> $true )
    & ( nonfixed("8")
    <=> $true )
    & ( nonfixed("9")
    <=> $true )
    & ( nonfixed("10")
    <=> $true ) ) ).

fof(object,fi_predicates,
    ( ( object("1","1")
    <=> $false )
    & ( object("1","2")
    <=> $false )
    & ( object("1","3")
    <=> $false )
    & ( object("1","4")
    <=> $false )
    & ( object("1","5")
    <=> $false )
    & ( object("1","6")
    <=> $false )
    & ( object("1","7")
    <=> $false )
    & ( object("1","8")
    <=> $false )
    & ( object("1","9")
    <=> $false )
    & ( object("1","10")
    <=> $false )
    & ( object("2","1")
    <=> $false )
    & ( object("2","2")
    <=> $false )
    & ( object("2","3")
    <=> $false )
    & ( object("2","4")
    <=> $false )
    & ( object("2","5")
    <=> $false )
    & ( object("2","6")
    <=> $false )
    & ( object("2","7")
    <=> $false )
    & ( object("2","8")
    <=> $false )
    & ( object("2","9")
    <=> $false )
    & ( object("2","10")
    <=> $false )
    & ( object("3","1")
    <=> $false )
    & ( object("3","2")
    <=> $false )
    & ( object("3","3")
    <=> $false )
    & ( object("3","4")
    <=> $false )
    & ( object("3","5")
    <=> $false )
    & ( object("3","6")
    <=> $false )
    & ( object("3","7")
    <=> $false )
    & ( object("3","8")
    <=> $false )
    & ( object("3","9")
    <=> $false )
    & ( object("3","10")
    <=> $false )
    & ( object("4","1")
    <=> $false )
    & ( object("4","2")
    <=> $false )
    & ( object("4","3")
    <=> $false )
    & ( object("4","4")
    <=> $false )
    & ( object("4","5")
    <=> $false )
    & ( object("4","6")
    <=> $false )
    & ( object("4","7")
    <=> $false )
    & ( object("4","8")
    <=> $false )
    & ( object("4","9")
    <=> $false )
    & ( object("4","10")
    <=> $false )
    & ( object("5","1")
    <=> $false )
    & ( object("5","2")
    <=> $true )
    & ( object("5","3")
    <=> $false )
    & ( object("5","4")
    <=> $false )
    & ( object("5","5")
    <=> $false )
    & ( object("5","6")
    <=> $false )
    & ( object("5","7")
    <=> $false )
    & ( object("5","8")
    <=> $false )
    & ( object("5","9")
    <=> $false )
    & ( object("5","10")
    <=> $true )
    & ( object("6","1")
    <=> $false )
    & ( object("6","2")
    <=> $false )
    & ( object("6","3")
    <=> $false )
    & ( object("6","4")
    <=> $false )
    & ( object("6","5")
    <=> $true )
    & ( object("6","6")
    <=> $false )
    & ( object("6","7")
    <=> $false )
    & ( object("6","8")
    <=> $false )
    & ( object("6","9")
    <=> $false )
    & ( object("6","10")
    <=> $false )
    & ( object("7","1")
    <=> $false )
    & ( object("7","2")
    <=> $false )
    & ( object("7","3")
    <=> $false )
    & ( object("7","4")
    <=> $false )
    & ( object("7","5")
    <=> $false )
    & ( object("7","6")
    <=> $false )
    & ( object("7","7")
    <=> $false )
    & ( object("7","8")
    <=> $false )
    & ( object("7","9")
    <=> $false )
    & ( object("7","10")
    <=> $false )
    & ( object("8","1")
    <=> $false )
    & ( object("8","2")
    <=> $false )
    & ( object("8","3")
    <=> $true )
    & ( object("8","4")
    <=> $true )
    & ( object("8","5")
    <=> $false )
    & ( object("8","6")
    <=> $false )
    & ( object("8","7")
    <=> $false )
    & ( object("8","8")
    <=> $false )
    & ( object("8","9")
    <=> $true )
    & ( object("8","10")
    <=> $false )
    & ( object("9","1")
    <=> $false )
    & ( object("9","2")
    <=> $false )
    & ( object("9","3")
    <=> $false )
    & ( object("9","4")
    <=> $false )
    & ( object("9","5")
    <=> $false )
    & ( object("9","6")
    <=> $true )
    & ( object("9","7")
    <=> $true )
    & ( object("9","8")
    <=> $false )
    & ( object("9","9")
    <=> $false )
    & ( object("9","10")
    <=> $false )
    & ( object("10","1")
    <=> $true )
    & ( object("10","2")
    <=> $false )
    & ( object("10","3")
    <=> $false )
    & ( object("10","4")
    <=> $false )
    & ( object("10","5")
    <=> $false )
    & ( object("10","6")
    <=> $false )
    & ( object("10","7")
    <=> $false )
    & ( object("10","8")
    <=> $true )
    & ( object("10","9")
    <=> $false )
    & ( object("10","10")
    <=> $false ) ) ).

fof(on,fi_predicates,
    ( ( on("1","1","1")
    <=> $false )
    & ( on("1","1","2")
    <=> $false )
    & ( on("1","1","3")
    <=> $false )
    & ( on("1","1","4")
    <=> $false )
    & ( on("1","1","5")
    <=> $false )
    & ( on("1","1","6")
    <=> $false )
    & ( on("1","1","7")
    <=> $false )
    & ( on("1","1","8")
    <=> $false )
    & ( on("1","1","9")
    <=> $false )
    & ( on("1","1","10")
    <=> $false )
    & ( on("1","2","1")
    <=> $false )
    & ( on("1","2","2")
    <=> $false )
    & ( on("1","2","3")
    <=> $false )
    & ( on("1","2","4")
    <=> $false )
    & ( on("1","2","5")
    <=> $false )
    & ( on("1","2","6")
    <=> $false )
    & ( on("1","2","7")
    <=> $false )
    & ( on("1","2","8")
    <=> $false )
    & ( on("1","2","9")
    <=> $false )
    & ( on("1","2","10")
    <=> $false )
    & ( on("1","3","1")
    <=> $false )
    & ( on("1","3","2")
    <=> $false )
    & ( on("1","3","3")
    <=> $false )
    & ( on("1","3","4")
    <=> $false )
    & ( on("1","3","5")
    <=> $false )
    & ( on("1","3","6")
    <=> $false )
    & ( on("1","3","7")
    <=> $false )
    & ( on("1","3","8")
    <=> $false )
    & ( on("1","3","9")
    <=> $false )
    & ( on("1","3","10")
    <=> $false )
    & ( on("1","4","1")
    <=> $false )
    & ( on("1","4","2")
    <=> $false )
    & ( on("1","4","3")
    <=> $false )
    & ( on("1","4","4")
    <=> $false )
    & ( on("1","4","5")
    <=> $false )
    & ( on("1","4","6")
    <=> $false )
    & ( on("1","4","7")
    <=> $false )
    & ( on("1","4","8")
    <=> $false )
    & ( on("1","4","9")
    <=> $false )
    & ( on("1","4","10")
    <=> $false )
    & ( on("1","5","1")
    <=> $false )
    & ( on("1","5","2")
    <=> $false )
    & ( on("1","5","3")
    <=> $false )
    & ( on("1","5","4")
    <=> $false )
    & ( on("1","5","5")
    <=> $false )
    & ( on("1","5","6")
    <=> $false )
    & ( on("1","5","7")
    <=> $false )
    & ( on("1","5","8")
    <=> $false )
    & ( on("1","5","9")
    <=> $false )
    & ( on("1","5","10")
    <=> $false )
    & ( on("1","6","1")
    <=> $false )
    & ( on("1","6","2")
    <=> $false )
    & ( on("1","6","3")
    <=> $false )
    & ( on("1","6","4")
    <=> $false )
    & ( on("1","6","5")
    <=> $false )
    & ( on("1","6","6")
    <=> $false )
    & ( on("1","6","7")
    <=> $false )
    & ( on("1","6","8")
    <=> $false )
    & ( on("1","6","9")
    <=> $false )
    & ( on("1","6","10")
    <=> $false )
    & ( on("1","7","1")
    <=> $false )
    & ( on("1","7","2")
    <=> $false )
    & ( on("1","7","3")
    <=> $false )
    & ( on("1","7","4")
    <=> $false )
    & ( on("1","7","5")
    <=> $false )
    & ( on("1","7","6")
    <=> $false )
    & ( on("1","7","7")
    <=> $false )
    & ( on("1","7","8")
    <=> $false )
    & ( on("1","7","9")
    <=> $false )
    & ( on("1","7","10")
    <=> $false )
    & ( on("1","8","1")
    <=> $false )
    & ( on("1","8","2")
    <=> $false )
    & ( on("1","8","3")
    <=> $false )
    & ( on("1","8","4")
    <=> $false )
    & ( on("1","8","5")
    <=> $false )
    & ( on("1","8","6")
    <=> $false )
    & ( on("1","8","7")
    <=> $false )
    & ( on("1","8","8")
    <=> $false )
    & ( on("1","8","9")
    <=> $false )
    & ( on("1","8","10")
    <=> $false )
    & ( on("1","9","1")
    <=> $false )
    & ( on("1","9","2")
    <=> $false )
    & ( on("1","9","3")
    <=> $false )
    & ( on("1","9","4")
    <=> $false )
    & ( on("1","9","5")
    <=> $false )
    & ( on("1","9","6")
    <=> $false )
    & ( on("1","9","7")
    <=> $false )
    & ( on("1","9","8")
    <=> $false )
    & ( on("1","9","9")
    <=> $false )
    & ( on("1","9","10")
    <=> $false )
    & ( on("1","10","1")
    <=> $false )
    & ( on("1","10","2")
    <=> $false )
    & ( on("1","10","3")
    <=> $false )
    & ( on("1","10","4")
    <=> $false )
    & ( on("1","10","5")
    <=> $false )
    & ( on("1","10","6")
    <=> $false )
    & ( on("1","10","7")
    <=> $false )
    & ( on("1","10","8")
    <=> $false )
    & ( on("1","10","9")
    <=> $false )
    & ( on("1","10","10")
    <=> $false )
    & ( on("2","1","1")
    <=> $true )
    & ( on("2","1","2")
    <=> $true )
    & ( on("2","1","3")
    <=> $true )
    & ( on("2","1","4")
    <=> $true )
    & ( on("2","1","5")
    <=> $true )
    & ( on("2","1","6")
    <=> $true )
    & ( on("2","1","7")
    <=> $true )
    & ( on("2","1","8")
    <=> $true )
    & ( on("2","1","9")
    <=> $true )
    & ( on("2","1","10")
    <=> $true )
    & ( on("2","2","1")
    <=> $false )
    & ( on("2","2","2")
    <=> $false )
    & ( on("2","2","3")
    <=> $false )
    & ( on("2","2","4")
    <=> $false )
    & ( on("2","2","5")
    <=> $false )
    & ( on("2","2","6")
    <=> $false )
    & ( on("2","2","7")
    <=> $false )
    & ( on("2","2","8")
    <=> $false )
    & ( on("2","2","9")
    <=> $false )
    & ( on("2","2","10")
    <=> $false )
    & ( on("2","3","1")
    <=> $false )
    & ( on("2","3","2")
    <=> $false )
    & ( on("2","3","3")
    <=> $false )
    & ( on("2","3","4")
    <=> $false )
    & ( on("2","3","5")
    <=> $false )
    & ( on("2","3","6")
    <=> $false )
    & ( on("2","3","7")
    <=> $false )
    & ( on("2","3","8")
    <=> $false )
    & ( on("2","3","9")
    <=> $false )
    & ( on("2","3","10")
    <=> $false )
    & ( on("2","4","1")
    <=> $false )
    & ( on("2","4","2")
    <=> $false )
    & ( on("2","4","3")
    <=> $false )
    & ( on("2","4","4")
    <=> $false )
    & ( on("2","4","5")
    <=> $false )
    & ( on("2","4","6")
    <=> $false )
    & ( on("2","4","7")
    <=> $false )
    & ( on("2","4","8")
    <=> $false )
    & ( on("2","4","9")
    <=> $false )
    & ( on("2","4","10")
    <=> $false )
    & ( on("2","5","1")
    <=> $false )
    & ( on("2","5","2")
    <=> $false )
    & ( on("2","5","3")
    <=> $false )
    & ( on("2","5","4")
    <=> $false )
    & ( on("2","5","5")
    <=> $false )
    & ( on("2","5","6")
    <=> $false )
    & ( on("2","5","7")
    <=> $false )
    & ( on("2","5","8")
    <=> $false )
    & ( on("2","5","9")
    <=> $false )
    & ( on("2","5","10")
    <=> $false )
    & ( on("2","6","1")
    <=> $false )
    & ( on("2","6","2")
    <=> $false )
    & ( on("2","6","3")
    <=> $false )
    & ( on("2","6","4")
    <=> $false )
    & ( on("2","6","5")
    <=> $false )
    & ( on("2","6","6")
    <=> $false )
    & ( on("2","6","7")
    <=> $false )
    & ( on("2","6","8")
    <=> $false )
    & ( on("2","6","9")
    <=> $false )
    & ( on("2","6","10")
    <=> $false )
    & ( on("2","7","1")
    <=> $false )
    & ( on("2","7","2")
    <=> $false )
    & ( on("2","7","3")
    <=> $false )
    & ( on("2","7","4")
    <=> $false )
    & ( on("2","7","5")
    <=> $false )
    & ( on("2","7","6")
    <=> $false )
    & ( on("2","7","7")
    <=> $false )
    & ( on("2","7","8")
    <=> $false )
    & ( on("2","7","9")
    <=> $false )
    & ( on("2","7","10")
    <=> $false )
    & ( on("2","8","1")
    <=> $false )
    & ( on("2","8","2")
    <=> $false )
    & ( on("2","8","3")
    <=> $false )
    & ( on("2","8","4")
    <=> $false )
    & ( on("2","8","5")
    <=> $false )
    & ( on("2","8","6")
    <=> $false )
    & ( on("2","8","7")
    <=> $false )
    & ( on("2","8","8")
    <=> $false )
    & ( on("2","8","9")
    <=> $false )
    & ( on("2","8","10")
    <=> $false )
    & ( on("2","9","1")
    <=> $false )
    & ( on("2","9","2")
    <=> $false )
    & ( on("2","9","3")
    <=> $false )
    & ( on("2","9","4")
    <=> $false )
    & ( on("2","9","5")
    <=> $false )
    & ( on("2","9","6")
    <=> $false )
    & ( on("2","9","7")
    <=> $false )
    & ( on("2","9","8")
    <=> $false )
    & ( on("2","9","9")
    <=> $false )
    & ( on("2","9","10")
    <=> $false )
    & ( on("2","10","1")
    <=> $false )
    & ( on("2","10","2")
    <=> $false )
    & ( on("2","10","3")
    <=> $false )
    & ( on("2","10","4")
    <=> $false )
    & ( on("2","10","5")
    <=> $false )
    & ( on("2","10","6")
    <=> $false )
    & ( on("2","10","7")
    <=> $false )
    & ( on("2","10","8")
    <=> $false )
    & ( on("2","10","9")
    <=> $false )
    & ( on("2","10","10")
    <=> $false )
    & ( on("3","1","1")
    <=> $false )
    & ( on("3","1","2")
    <=> $true )
    & ( on("3","1","3")
    <=> $false )
    & ( on("3","1","4")
    <=> $false )
    & ( on("3","1","5")
    <=> $false )
    & ( on("3","1","6")
    <=> $false )
    & ( on("3","1","7")
    <=> $false )
    & ( on("3","1","8")
    <=> $false )
    & ( on("3","1","9")
    <=> $false )
    & ( on("3","1","10")
    <=> $true )
    & ( on("3","2","1")
    <=> $true )
    & ( on("3","2","2")
    <=> $false )
    & ( on("3","2","3")
    <=> $true )
    & ( on("3","2","4")
    <=> $true )
    & ( on("3","2","5")
    <=> $true )
    & ( on("3","2","6")
    <=> $true )
    & ( on("3","2","7")
    <=> $true )
    & ( on("3","2","8")
    <=> $true )
    & ( on("3","2","9")
    <=> $true )
    & ( on("3","2","10")
    <=> $false )
    & ( on("3","3","1")
    <=> $false )
    & ( on("3","3","2")
    <=> $false )
    & ( on("3","3","3")
    <=> $false )
    & ( on("3","3","4")
    <=> $false )
    & ( on("3","3","5")
    <=> $false )
    & ( on("3","3","6")
    <=> $false )
    & ( on("3","3","7")
    <=> $false )
    & ( on("3","3","8")
    <=> $false )
    & ( on("3","3","9")
    <=> $false )
    & ( on("3","3","10")
    <=> $false )
    & ( on("3","4","1")
    <=> $false )
    & ( on("3","4","2")
    <=> $false )
    & ( on("3","4","3")
    <=> $false )
    & ( on("3","4","4")
    <=> $false )
    & ( on("3","4","5")
    <=> $false )
    & ( on("3","4","6")
    <=> $false )
    & ( on("3","4","7")
    <=> $false )
    & ( on("3","4","8")
    <=> $false )
    & ( on("3","4","9")
    <=> $false )
    & ( on("3","4","10")
    <=> $false )
    & ( on("3","5","1")
    <=> $false )
    & ( on("3","5","2")
    <=> $false )
    & ( on("3","5","3")
    <=> $false )
    & ( on("3","5","4")
    <=> $false )
    & ( on("3","5","5")
    <=> $false )
    & ( on("3","5","6")
    <=> $false )
    & ( on("3","5","7")
    <=> $false )
    & ( on("3","5","8")
    <=> $false )
    & ( on("3","5","9")
    <=> $false )
    & ( on("3","5","10")
    <=> $false )
    & ( on("3","6","1")
    <=> $false )
    & ( on("3","6","2")
    <=> $false )
    & ( on("3","6","3")
    <=> $false )
    & ( on("3","6","4")
    <=> $false )
    & ( on("3","6","5")
    <=> $false )
    & ( on("3","6","6")
    <=> $false )
    & ( on("3","6","7")
    <=> $false )
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    & ( on("7","5","6")
    <=> $false )
    & ( on("7","5","7")
    <=> $false )
    & ( on("7","5","8")
    <=> $false )
    & ( on("7","5","9")
    <=> $false )
    & ( on("7","5","10")
    <=> $false )
    & ( on("7","6","1")
    <=> $false )
    & ( on("7","6","2")
    <=> $false )
    & ( on("7","6","3")
    <=> $false )
    & ( on("7","6","4")
    <=> $false )
    & ( on("7","6","5")
    <=> $false )
    & ( on("7","6","6")
    <=> $false )
    & ( on("7","6","7")
    <=> $false )
    & ( on("7","6","8")
    <=> $false )
    & ( on("7","6","9")
    <=> $false )
    & ( on("7","6","10")
    <=> $false )
    & ( on("7","7","1")
    <=> $false )
    & ( on("7","7","2")
    <=> $false )
    & ( on("7","7","3")
    <=> $false )
    & ( on("7","7","4")
    <=> $false )
    & ( on("7","7","5")
    <=> $false )
    & ( on("7","7","6")
    <=> $false )
    & ( on("7","7","7")
    <=> $false )
    & ( on("7","7","8")
    <=> $false )
    & ( on("7","7","9")
    <=> $false )
    & ( on("7","7","10")
    <=> $false )
    & ( on("7","8","1")
    <=> $false )
    & ( on("7","8","2")
    <=> $false )
    & ( on("7","8","3")
    <=> $false )
    & ( on("7","8","4")
    <=> $false )
    & ( on("7","8","5")
    <=> $false )
    & ( on("7","8","6")
    <=> $false )
    & ( on("7","8","7")
    <=> $false )
    & ( on("7","8","8")
    <=> $false )
    & ( on("7","8","9")
    <=> $false )
    & ( on("7","8","10")
    <=> $false )
    & ( on("7","9","1")
    <=> $false )
    & ( on("7","9","2")
    <=> $false )
    & ( on("7","9","3")
    <=> $false )
    & ( on("7","9","4")
    <=> $false )
    & ( on("7","9","5")
    <=> $false )
    & ( on("7","9","6")
    <=> $false )
    & ( on("7","9","7")
    <=> $false )
    & ( on("7","9","8")
    <=> $false )
    & ( on("7","9","9")
    <=> $false )
    & ( on("7","9","10")
    <=> $false )
    & ( on("7","10","1")
    <=> $false )
    & ( on("7","10","2")
    <=> $false )
    & ( on("7","10","3")
    <=> $false )
    & ( on("7","10","4")
    <=> $false )
    & ( on("7","10","5")
    <=> $false )
    & ( on("7","10","6")
    <=> $false )
    & ( on("7","10","7")
    <=> $false )
    & ( on("7","10","8")
    <=> $false )
    & ( on("7","10","9")
    <=> $false )
    & ( on("7","10","10")
    <=> $false )
    & ( on("8","1","1")
    <=> $false )
    & ( on("8","1","2")
    <=> $true )
    & ( on("8","1","3")
    <=> $false )
    & ( on("8","1","4")
    <=> $true )
    & ( on("8","1","5")
    <=> $true )
    & ( on("8","1","6")
    <=> $false )
    & ( on("8","1","7")
    <=> $false )
    & ( on("8","1","8")
    <=> $false )
    & ( on("8","1","9")
    <=> $false )
    & ( on("8","1","10")
    <=> $true )
    & ( on("8","2","1")
    <=> $false )
    & ( on("8","2","2")
    <=> $false )
    & ( on("8","2","3")
    <=> $false )
    & ( on("8","2","4")
    <=> $false )
    & ( on("8","2","5")
    <=> $false )
    & ( on("8","2","6")
    <=> $false )
    & ( on("8","2","7")
    <=> $false )
    & ( on("8","2","8")
    <=> $false )
    & ( on("8","2","9")
    <=> $false )
    & ( on("8","2","10")
    <=> $false )
    & ( on("8","3","1")
    <=> $false )
    & ( on("8","3","2")
    <=> $false )
    & ( on("8","3","3")
    <=> $false )
    & ( on("8","3","4")
    <=> $false )
    & ( on("8","3","5")
    <=> $false )
    & ( on("8","3","6")
    <=> $false )
    & ( on("8","3","7")
    <=> $false )
    & ( on("8","3","8")
    <=> $false )
    & ( on("8","3","9")
    <=> $false )
    & ( on("8","3","10")
    <=> $false )
    & ( on("8","4","1")
    <=> $false )
    & ( on("8","4","2")
    <=> $false )
    & ( on("8","4","3")
    <=> $false )
    & ( on("8","4","4")
    <=> $false )
    & ( on("8","4","5")
    <=> $false )
    & ( on("8","4","6")
    <=> $false )
    & ( on("8","4","7")
    <=> $false )
    & ( on("8","4","8")
    <=> $false )
    & ( on("8","4","9")
    <=> $false )
    & ( on("8","4","10")
    <=> $false )
    & ( on("8","5","1")
    <=> $false )
    & ( on("8","5","2")
    <=> $false )
    & ( on("8","5","3")
    <=> $false )
    & ( on("8","5","4")
    <=> $false )
    & ( on("8","5","5")
    <=> $false )
    & ( on("8","5","6")
    <=> $false )
    & ( on("8","5","7")
    <=> $false )
    & ( on("8","5","8")
    <=> $false )
    & ( on("8","5","9")
    <=> $false )
    & ( on("8","5","10")
    <=> $false )
    & ( on("8","6","1")
    <=> $false )
    & ( on("8","6","2")
    <=> $false )
    & ( on("8","6","3")
    <=> $false )
    & ( on("8","6","4")
    <=> $false )
    & ( on("8","6","5")
    <=> $false )
    & ( on("8","6","6")
    <=> $false )
    & ( on("8","6","7")
    <=> $false )
    & ( on("8","6","8")
    <=> $false )
    & ( on("8","6","9")
    <=> $true )
    & ( on("8","6","10")
    <=> $false )
    & ( on("8","7","1")
    <=> $true )
    & ( on("8","7","2")
    <=> $false )
    & ( on("8","7","3")
    <=> $true )
    & ( on("8","7","4")
    <=> $false )
    & ( on("8","7","5")
    <=> $false )
    & ( on("8","7","6")
    <=> $true )
    & ( on("8","7","7")
    <=> $true )
    & ( on("8","7","8")
    <=> $true )
    & ( on("8","7","9")
    <=> $false )
    & ( on("8","7","10")
    <=> $false )
    & ( on("8","8","1")
    <=> $false )
    & ( on("8","8","2")
    <=> $false )
    & ( on("8","8","3")
    <=> $false )
    & ( on("8","8","4")
    <=> $false )
    & ( on("8","8","5")
    <=> $false )
    & ( on("8","8","6")
    <=> $false )
    & ( on("8","8","7")
    <=> $false )
    & ( on("8","8","8")
    <=> $false )
    & ( on("8","8","9")
    <=> $false )
    & ( on("8","8","10")
    <=> $false )
    & ( on("8","9","1")
    <=> $false )
    & ( on("8","9","2")
    <=> $false )
    & ( on("8","9","3")
    <=> $false )
    & ( on("8","9","4")
    <=> $false )
    & ( on("8","9","5")
    <=> $false )
    & ( on("8","9","6")
    <=> $false )
    & ( on("8","9","7")
    <=> $false )
    & ( on("8","9","8")
    <=> $false )
    & ( on("8","9","9")
    <=> $false )
    & ( on("8","9","10")
    <=> $false )
    & ( on("8","10","1")
    <=> $false )
    & ( on("8","10","2")
    <=> $false )
    & ( on("8","10","3")
    <=> $false )
    & ( on("8","10","4")
    <=> $false )
    & ( on("8","10","5")
    <=> $false )
    & ( on("8","10","6")
    <=> $false )
    & ( on("8","10","7")
    <=> $false )
    & ( on("8","10","8")
    <=> $false )
    & ( on("8","10","9")
    <=> $false )
    & ( on("8","10","10")
    <=> $false )
    & ( on("9","1","1")
    <=> $false )
    & ( on("9","1","2")
    <=> $true )
    & ( on("9","1","3")
    <=> $false )
    & ( on("9","1","4")
    <=> $false )
    & ( on("9","1","5")
    <=> $false )
    & ( on("9","1","6")
    <=> $true )
    & ( on("9","1","7")
    <=> $false )
    & ( on("9","1","8")
    <=> $false )
    & ( on("9","1","9")
    <=> $false )
    & ( on("9","1","10")
    <=> $true )
    & ( on("9","2","1")
    <=> $false )
    & ( on("9","2","2")
    <=> $false )
    & ( on("9","2","3")
    <=> $false )
    & ( on("9","2","4")
    <=> $false )
    & ( on("9","2","5")
    <=> $false )
    & ( on("9","2","6")
    <=> $false )
    & ( on("9","2","7")
    <=> $false )
    & ( on("9","2","8")
    <=> $false )
    & ( on("9","2","9")
    <=> $false )
    & ( on("9","2","10")
    <=> $false )
    & ( on("9","3","1")
    <=> $false )
    & ( on("9","3","2")
    <=> $false )
    & ( on("9","3","3")
    <=> $false )
    & ( on("9","3","4")
    <=> $false )
    & ( on("9","3","5")
    <=> $false )
    & ( on("9","3","6")
    <=> $false )
    & ( on("9","3","7")
    <=> $false )
    & ( on("9","3","8")
    <=> $false )
    & ( on("9","3","9")
    <=> $false )
    & ( on("9","3","10")
    <=> $false )
    & ( on("9","4","1")
    <=> $false )
    & ( on("9","4","2")
    <=> $false )
    & ( on("9","4","3")
    <=> $false )
    & ( on("9","4","4")
    <=> $false )
    & ( on("9","4","5")
    <=> $false )
    & ( on("9","4","6")
    <=> $false )
    & ( on("9","4","7")
    <=> $false )
    & ( on("9","4","8")
    <=> $false )
    & ( on("9","4","9")
    <=> $false )
    & ( on("9","4","10")
    <=> $false )
    & ( on("9","5","1")
    <=> $false )
    & ( on("9","5","2")
    <=> $false )
    & ( on("9","5","3")
    <=> $false )
    & ( on("9","5","4")
    <=> $false )
    & ( on("9","5","5")
    <=> $false )
    & ( on("9","5","6")
    <=> $false )
    & ( on("9","5","7")
    <=> $false )
    & ( on("9","5","8")
    <=> $false )
    & ( on("9","5","9")
    <=> $false )
    & ( on("9","5","10")
    <=> $false )
    & ( on("9","6","1")
    <=> $false )
    & ( on("9","6","2")
    <=> $false )
    & ( on("9","6","3")
    <=> $false )
    & ( on("9","6","4")
    <=> $false )
    & ( on("9","6","5")
    <=> $false )
    & ( on("9","6","6")
    <=> $false )
    & ( on("9","6","7")
    <=> $false )
    & ( on("9","6","8")
    <=> $false )
    & ( on("9","6","9")
    <=> $false )
    & ( on("9","6","10")
    <=> $false )
    & ( on("9","7","1")
    <=> $false )
    & ( on("9","7","2")
    <=> $false )
    & ( on("9","7","3")
    <=> $false )
    & ( on("9","7","4")
    <=> $false )
    & ( on("9","7","5")
    <=> $false )
    & ( on("9","7","6")
    <=> $false )
    & ( on("9","7","7")
    <=> $false )
    & ( on("9","7","8")
    <=> $false )
    & ( on("9","7","9")
    <=> $false )
    & ( on("9","7","10")
    <=> $false )
    & ( on("9","8","1")
    <=> $true )
    & ( on("9","8","2")
    <=> $false )
    & ( on("9","8","3")
    <=> $false )
    & ( on("9","8","4")
    <=> $false )
    & ( on("9","8","5")
    <=> $false )
    & ( on("9","8","6")
    <=> $false )
    & ( on("9","8","7")
    <=> $true )
    & ( on("9","8","8")
    <=> $true )
    & ( on("9","8","9")
    <=> $false )
    & ( on("9","8","10")
    <=> $false )
    & ( on("9","9","1")
    <=> $false )
    & ( on("9","9","2")
    <=> $false )
    & ( on("9","9","3")
    <=> $false )
    & ( on("9","9","4")
    <=> $false )
    & ( on("9","9","5")
    <=> $false )
    & ( on("9","9","6")
    <=> $false )
    & ( on("9","9","7")
    <=> $false )
    & ( on("9","9","8")
    <=> $false )
    & ( on("9","9","9")
    <=> $false )
    & ( on("9","9","10")
    <=> $false )
    & ( on("9","10","1")
    <=> $false )
    & ( on("9","10","2")
    <=> $false )
    & ( on("9","10","3")
    <=> $true )
    & ( on("9","10","4")
    <=> $true )
    & ( on("9","10","5")
    <=> $true )
    & ( on("9","10","6")
    <=> $false )
    & ( on("9","10","7")
    <=> $false )
    & ( on("9","10","8")
    <=> $false )
    & ( on("9","10","9")
    <=> $true )
    & ( on("9","10","10")
    <=> $false )
    & ( on("10","1","1")
    <=> $false )
    & ( on("10","1","2")
    <=> $false )
    & ( on("10","1","3")
    <=> $false )
    & ( on("10","1","4")
    <=> $false )
    & ( on("10","1","5")
    <=> $false )
    & ( on("10","1","6")
    <=> $false )
    & ( on("10","1","7")
    <=> $false )
    & ( on("10","1","8")
    <=> $true )
    & ( on("10","1","9")
    <=> $false )
    & ( on("10","1","10")
    <=> $false )
    & ( on("10","2","1")
    <=> $false )
    & ( on("10","2","2")
    <=> $false )
    & ( on("10","2","3")
    <=> $false )
    & ( on("10","2","4")
    <=> $false )
    & ( on("10","2","5")
    <=> $false )
    & ( on("10","2","6")
    <=> $false )
    & ( on("10","2","7")
    <=> $false )
    & ( on("10","2","8")
    <=> $false )
    & ( on("10","2","9")
    <=> $false )
    & ( on("10","2","10")
    <=> $false )
    & ( on("10","3","1")
    <=> $false )
    & ( on("10","3","2")
    <=> $false )
    & ( on("10","3","3")
    <=> $false )
    & ( on("10","3","4")
    <=> $false )
    & ( on("10","3","5")
    <=> $false )
    & ( on("10","3","6")
    <=> $false )
    & ( on("10","3","7")
    <=> $false )
    & ( on("10","3","8")
    <=> $false )
    & ( on("10","3","9")
    <=> $false )
    & ( on("10","3","10")
    <=> $false )
    & ( on("10","4","1")
    <=> $false )
    & ( on("10","4","2")
    <=> $false )
    & ( on("10","4","3")
    <=> $true )
    & ( on("10","4","4")
    <=> $true )
    & ( on("10","4","5")
    <=> $true )
    & ( on("10","4","6")
    <=> $true )
    & ( on("10","4","7")
    <=> $true )
    & ( on("10","4","8")
    <=> $false )
    & ( on("10","4","9")
    <=> $true )
    & ( on("10","4","10")
    <=> $false )
    & ( on("10","5","1")
    <=> $false )
    & ( on("10","5","2")
    <=> $false )
    & ( on("10","5","3")
    <=> $false )
    & ( on("10","5","4")
    <=> $false )
    & ( on("10","5","5")
    <=> $false )
    & ( on("10","5","6")
    <=> $false )
    & ( on("10","5","7")
    <=> $false )
    & ( on("10","5","8")
    <=> $false )
    & ( on("10","5","9")
    <=> $false )
    & ( on("10","5","10")
    <=> $false )
    & ( on("10","6","1")
    <=> $false )
    & ( on("10","6","2")
    <=> $false )
    & ( on("10","6","3")
    <=> $false )
    & ( on("10","6","4")
    <=> $false )
    & ( on("10","6","5")
    <=> $false )
    & ( on("10","6","6")
    <=> $false )
    & ( on("10","6","7")
    <=> $false )
    & ( on("10","6","8")
    <=> $false )
    & ( on("10","6","9")
    <=> $false )
    & ( on("10","6","10")
    <=> $false )
    & ( on("10","7","1")
    <=> $false )
    & ( on("10","7","2")
    <=> $false )
    & ( on("10","7","3")
    <=> $false )
    & ( on("10","7","4")
    <=> $false )
    & ( on("10","7","5")
    <=> $false )
    & ( on("10","7","6")
    <=> $false )
    & ( on("10","7","7")
    <=> $false )
    & ( on("10","7","8")
    <=> $false )
    & ( on("10","7","9")
    <=> $false )
    & ( on("10","7","10")
    <=> $false )
    & ( on("10","8","1")
    <=> $false )
    & ( on("10","8","2")
    <=> $true )
    & ( on("10","8","3")
    <=> $false )
    & ( on("10","8","4")
    <=> $false )
    & ( on("10","8","5")
    <=> $false )
    & ( on("10","8","6")
    <=> $false )
    & ( on("10","8","7")
    <=> $false )
    & ( on("10","8","8")
    <=> $false )
    & ( on("10","8","9")
    <=> $false )
    & ( on("10","8","10")
    <=> $true )
    & ( on("10","9","1")
    <=> $true )
    & ( on("10","9","2")
    <=> $false )
    & ( on("10","9","3")
    <=> $false )
    & ( on("10","9","4")
    <=> $false )
    & ( on("10","9","5")
    <=> $false )
    & ( on("10","9","6")
    <=> $false )
    & ( on("10","9","7")
    <=> $false )
    & ( on("10","9","8")
    <=> $false )
    & ( on("10","9","9")
    <=> $false )
    & ( on("10","9","10")
    <=> $false )
    & ( on("10","10","1")
    <=> $false )
    & ( on("10","10","2")
    <=> $false )
    & ( on("10","10","3")
    <=> $false )
    & ( on("10","10","4")
    <=> $false )
    & ( on("10","10","5")
    <=> $false )
    & ( on("10","10","6")
    <=> $false )
    & ( on("10","10","7")
    <=> $false )
    & ( on("10","10","8")
    <=> $false )
    & ( on("10","10","9")
    <=> $false )
    & ( on("10","10","10")
    <=> $false ) ) ).

fof(s,fi_functors,
    ( s("1") = "8"
    & s("2") = "10"
    & s("3") = "4"
    & s("4") = "3"
    & s("5") = "4"
    & s("6") = "3"
    & s("7") = "6"
    & s("8") = "7"
    & s("9") = "3"
    & s("10") = "2" ) ).

fof(sK69_goal_state_S,fi_functors,
    sK69_goal_state_S = "1" ).

fof(source,fi_predicates,
    ( ( source("1","1")
    <=> $false )
    & ( source("1","2")
    <=> $false )
    & ( source("1","3")
    <=> $false )
    & ( source("1","4")
    <=> $true )
    & ( source("1","5")
    <=> $false )
    & ( source("1","6")
    <=> $true )
    & ( source("1","7")
    <=> $false )
    & ( source("1","8")
    <=> $true )
    & ( source("1","9")
    <=> $false )
    & ( source("1","10")
    <=> $false )
    & ( source("2","1")
    <=> $false )
    & ( source("2","2")
    <=> $false )
    & ( source("2","3")
    <=> $false )
    & ( source("2","4")
    <=> $false )
    & ( source("2","5")
    <=> $false )
    & ( source("2","6")
    <=> $false )
    & ( source("2","7")
    <=> $false )
    & ( source("2","8")
    <=> $false )
    & ( source("2","9")
    <=> $false )
    & ( source("2","10")
    <=> $false )
    & ( source("3","1")
    <=> $false )
    & ( source("3","2")
    <=> $false )
    & ( source("3","3")
    <=> $false )
    & ( source("3","4")
    <=> $false )
    & ( source("3","5")
    <=> $false )
    & ( source("3","6")
    <=> $false )
    & ( source("3","7")
    <=> $false )
    & ( source("3","8")
    <=> $false )
    & ( source("3","9")
    <=> $false )
    & ( source("3","10")
    <=> $false )
    & ( source("4","1")
    <=> $false )
    & ( source("4","2")
    <=> $false )
    & ( source("4","3")
    <=> $false )
    & ( source("4","4")
    <=> $false )
    & ( source("4","5")
    <=> $false )
    & ( source("4","6")
    <=> $false )
    & ( source("4","7")
    <=> $false )
    & ( source("4","8")
    <=> $false )
    & ( source("4","9")
    <=> $false )
    & ( source("4","10")
    <=> $true )
    & ( source("5","1")
    <=> $false )
    & ( source("5","2")
    <=> $false )
    & ( source("5","3")
    <=> $false )
    & ( source("5","4")
    <=> $false )
    & ( source("5","5")
    <=> $false )
    & ( source("5","6")
    <=> $false )
    & ( source("5","7")
    <=> $false )
    & ( source("5","8")
    <=> $false )
    & ( source("5","9")
    <=> $false )
    & ( source("5","10")
    <=> $false )
    & ( source("6","1")
    <=> $false )
    & ( source("6","2")
    <=> $false )
    & ( source("6","3")
    <=> $false )
    & ( source("6","4")
    <=> $false )
    & ( source("6","5")
    <=> $false )
    & ( source("6","6")
    <=> $false )
    & ( source("6","7")
    <=> $false )
    & ( source("6","8")
    <=> $false )
    & ( source("6","9")
    <=> $true )
    & ( source("6","10")
    <=> $false )
    & ( source("7","1")
    <=> $false )
    & ( source("7","2")
    <=> $false )
    & ( source("7","3")
    <=> $true )
    & ( source("7","4")
    <=> $false )
    & ( source("7","5")
    <=> $true )
    & ( source("7","6")
    <=> $false )
    & ( source("7","7")
    <=> $false )
    & ( source("7","8")
    <=> $false )
    & ( source("7","9")
    <=> $false )
    & ( source("7","10")
    <=> $false )
    & ( source("8","1")
    <=> $false )
    & ( source("8","2")
    <=> $false )
    & ( source("8","3")
    <=> $false )
    & ( source("8","4")
    <=> $false )
    & ( source("8","5")
    <=> $false )
    & ( source("8","6")
    <=> $false )
    & ( source("8","7")
    <=> $true )
    & ( source("8","8")
    <=> $false )
    & ( source("8","9")
    <=> $false )
    & ( source("8","10")
    <=> $false )
    & ( source("9","1")
    <=> $true )
    & ( source("9","2")
    <=> $false )
    & ( source("9","3")
    <=> $false )
    & ( source("9","4")
    <=> $false )
    & ( source("9","5")
    <=> $false )
    & ( source("9","6")
    <=> $false )
    & ( source("9","7")
    <=> $false )
    & ( source("9","8")
    <=> $false )
    & ( source("9","9")
    <=> $false )
    & ( source("9","10")
    <=> $false )
    & ( source("10","1")
    <=> $false )
    & ( source("10","2")
    <=> $true )
    & ( source("10","3")
    <=> $false )
    & ( source("10","4")
    <=> $false )
    & ( source("10","5")
    <=> $false )
    & ( source("10","6")
    <=> $false )
    & ( source("10","7")
    <=> $false )
    & ( source("10","8")
    <=> $false )
    & ( source("10","9")
    <=> $false )
    & ( source("10","10")
    <=> $false ) ) ).

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

fof(time,fi_predicates,
    ( ( time("1")
    <=> $true )
    & ( time("2")
    <=> $true )
    & ( time("3")
    <=> $true )
    & ( time("4")
    <=> $true )
    & ( time("5")
    <=> $true )
    & ( time("6")
    <=> $true )
    & ( time("7")
    <=> $true )
    & ( time("8")
    <=> $true )
    & ( time("9")
    <=> $true )
    & ( time("10")
    <=> $true ) ) ).

fof(time_0,fi_functors,
    time_0 = "1" ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.13  % Problem  : PLA025+1 : TPTP v8.1.0. Bugfixed v2.5.0.
% 0.12/0.13  % Command  : paradox --no-progress --time %d --tstp --model %s
% 0.14/0.35  % Computer : n023.cluster.edu
% 0.14/0.35  % Model    : x86_64 x86_64
% 0.14/0.35  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.35  % Memory   : 8042.1875MB
% 0.14/0.35  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.14/0.35  % CPULimit : 300
% 0.14/0.35  % WCLimit  : 600
% 0.14/0.35  % DateTime : Tue May 31 21:34:26 EDT 2022
% 0.14/0.35  % CPUTime  : 
% 0.14/0.35  Paradox, version 4.0, 2010-06-29.
% 0.14/0.35  +++ PROBLEM: /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.14/0.35  Reading '/export/starexec/sandbox2/benchmark/theBenchmark.p' ... OK
% 0.14/0.37  Reading 'Axioms/PLA002+0.ax' ... ('/export/starexec/sandbox2/benchmark/Axioms/PLA002+0.ax') OK
% 0.14/0.39  +++ SOLVING: /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.20/0.52  +++ BEGIN MODEL
% 0.20/0.52  SZS output start FiniteModel for /export/starexec/sandbox2/benchmark/theBenchmark.p
% See solution above
% 0.20/0.53  +++ END MODEL
% 0.20/0.53  +++ RESULT: CounterSatisfiable
% 0.20/0.53  SZS status CounterSatisfiable for /export/starexec/sandbox2/benchmark/theBenchmark.p
%------------------------------------------------------------------------------