TSTP Solution File: GEO163-1 by Paradox---4.0

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Paradox---4.0
% Problem  : GEO163-1 : TPTP v8.1.0. Released v2.7.0.
% Transfm  : none
% Format   : tptp:short
% Command  : paradox --no-progress --time %d --tstp --model %s

% Computer : n018.cluster.edu
% Model    : x86_64 x86_64
% CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory   : 8042.1875MB
% OS       : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit  : 600s
% DateTime : Sat Jul 16 05:46:30 EDT 2022

% Result   : Satisfiable 0.12s 0.36s
% Output   : FiniteModel 0.12s
% Verified : 
% SZS Type : FiniteModel
%            Domain size           :    7

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

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

fof(p1,fi_functors,
    p1 = "1" ).

fof(p2,fi_functors,
    p2 = "2" ).

fof(p3,fi_functors,
    p3 = "3" ).

fof(third,fi_functors,
    ( third("1","1") = "3"
    & third("1","2") = "6"
    & third("1","3") = "5"
    & third("1","4") = "7"
    & third("1","5") = "3"
    & third("1","6") = "2"
    & third("1","7") = "4"
    & third("2","1") = "6"
    & third("2","2") = "1"
    & third("2","3") = "4"
    & third("2","4") = "3"
    & third("2","5") = "7"
    & third("2","6") = "1"
    & third("2","7") = "5"
    & third("3","1") = "5"
    & third("3","2") = "4"
    & third("3","3") = "7"
    & third("3","4") = "2"
    & third("3","5") = "1"
    & third("3","6") = "7"
    & third("3","7") = "6"
    & third("4","1") = "7"
    & third("4","2") = "3"
    & third("4","3") = "2"
    & third("4","4") = "3"
    & third("4","5") = "6"
    & third("4","6") = "5"
    & third("4","7") = "1"
    & third("5","1") = "3"
    & third("5","2") = "7"
    & third("5","3") = "1"
    & third("5","4") = "6"
    & third("5","5") = "3"
    & third("5","6") = "4"
    & third("5","7") = "2"
    & third("6","1") = "2"
    & third("6","2") = "1"
    & third("6","3") = "7"
    & third("6","4") = "5"
    & third("6","5") = "4"
    & third("6","6") = "5"
    & third("6","7") = "3"
    & third("7","1") = "4"
    & third("7","2") = "5"
    & third("7","3") = "6"
    & third("7","4") = "1"
    & third("7","5") = "2"
    & third("7","6") = "3"
    & third("7","7") = "6" ) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12  % Problem  : GEO163-1 : TPTP v8.1.0. Released v2.7.0.
% 0.11/0.13  % Command  : paradox --no-progress --time %d --tstp --model %s
% 0.12/0.34  % Computer : n018.cluster.edu
% 0.12/0.34  % Model    : x86_64 x86_64
% 0.12/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.34  % Memory   : 8042.1875MB
% 0.12/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.12/0.34  % CPULimit : 300
% 0.12/0.34  % WCLimit  : 600
% 0.12/0.34  % DateTime : Fri Jun 17 15:21:47 EDT 2022
% 0.12/0.34  % CPUTime  : 
% 0.12/0.34  Paradox, version 4.0, 2010-06-29.
% 0.12/0.34  +++ PROBLEM: /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.12/0.34  Reading '/export/starexec/sandbox/benchmark/theBenchmark.p' ... OK
% 0.12/0.35  +++ SOLVING: /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.12/0.36  +++ BEGIN MODEL
% 0.12/0.36  SZS output start FiniteModel for /export/starexec/sandbox/benchmark/theBenchmark.p
% See solution above
% 0.12/0.36  +++ END MODEL
% 0.12/0.36  +++ RESULT: Satisfiable
% 0.12/0.36  SZS status Satisfiable for /export/starexec/sandbox/benchmark/theBenchmark.p
%------------------------------------------------------------------------------