TSTP Solution File: PUZ079+2 by Paradox---4.0

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Paradox---4.0
% Problem  : PUZ079+2 : TPTP v8.1.0. Bugfixed v5.4.0.
% 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 18:23:31 EDT 2022

% Result   : Satisfiable 5.05s 5.24s
% Output   : FiniteModel 5.05s
% Verified : 
% SZS Type : FiniteModel
%            Domain size           :    9

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

fof(n1,fi_functors,
    n1 = "1" ).

fof(n2,fi_functors,
    n2 = "2" ).

fof(n3,fi_functors,
    n3 = "3" ).

fof(n4,fi_functors,
    n4 = "4" ).

fof(n5,fi_functors,
    n5 = "5" ).

fof(n6,fi_functors,
    n6 = "6" ).

fof(n7,fi_functors,
    n7 = "7" ).

fof(n8,fi_functors,
    n8 = "8" ).

fof(n9,fi_functors,
    n9 = "9" ).

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

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12  % Problem  : PUZ079+2 : TPTP v8.1.0. Bugfixed v5.4.0.
% 0.11/0.13  % Command  : paradox --no-progress --time %d --tstp --model %s
% 0.13/0.34  % Computer : n023.cluster.edu
% 0.13/0.34  % Model    : x86_64 x86_64
% 0.13/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34  % Memory   : 8042.1875MB
% 0.13/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34  % CPULimit : 300
% 0.13/0.34  % WCLimit  : 600
% 0.13/0.34  % DateTime : Sat May 28 22:20:42 EDT 2022
% 0.13/0.34  % CPUTime  : 
% 0.13/0.34  Paradox, version 4.0, 2010-06-29.
% 0.13/0.34  +++ PROBLEM: /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.13/0.34  Reading '/export/starexec/sandbox/benchmark/theBenchmark.p' ... OK
% 0.13/0.35  Reading 'Axioms/PUZ006+0.ax' ... ('/export/starexec/sandbox/benchmark/Axioms/PUZ006+0.ax') OK
% 1.36/1.58  +++ SOLVING: /export/starexec/sandbox/benchmark/theBenchmark.p
% 5.05/5.22  +++ BEGIN MODEL
% 5.05/5.22  SZS output start FiniteModel for /export/starexec/sandbox/benchmark/theBenchmark.p
% See solution above
% 5.05/5.22  +++ END MODEL
% 5.05/5.24  +++ RESULT: Satisfiable
% 5.05/5.24  SZS status Satisfiable for /export/starexec/sandbox/benchmark/theBenchmark.p
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