TSTP Solution File: LAT126-1 by Paradox---4.0

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Paradox---4.0
% Problem  : LAT126-1 : TPTP v8.1.0. Released v3.1.0.
% Transfm  : none
% Format   : tptp:short
% Command  : paradox --no-progress --time %d --tstp --model %s

% Computer : n011.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 : Sun Jul 17 06:18:54 EDT 2022

% Result   : Satisfiable 51.25s 51.49s
% Output   : FiniteModel 51.16s
% Verified : 
% SZS Type : FiniteModel
%            Domain size           :   15

% Comments : 
%------------------------------------------------------------------------------
% domain size is 15
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"
      | X = "11"
      | X = "12"
      | X = "13"
      | X = "14"
      | X = "15" ) ).

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

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

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

fof(join,fi_functors,
    ( join("1","1") = "1"
    & join("1","2") = "12"
    & join("1","3") = "15"
    & join("1","4") = "4"
    & join("1","5") = "12"
    & join("1","6") = "15"
    & join("1","7") = "1"
    & join("1","8") = "1"
    & join("1","9") = "1"
    & join("1","10") = "1"
    & join("1","11") = "1"
    & join("1","12") = "12"
    & join("1","13") = "1"
    & join("1","14") = "1"
    & join("1","15") = "15"
    & join("2","1") = "12"
    & join("2","2") = "2"
    & join("2","3") = "4"
    & join("2","4") = "4"
    & join("2","5") = "5"
    & join("2","6") = "4"
    & join("2","7") = "12"
    & join("2","8") = "2"
    & join("2","9") = "5"
    & join("2","10") = "12"
    & join("2","11") = "5"
    & join("2","12") = "12"
    & join("2","13") = "5"
    & join("2","14") = "2"
    & join("2","15") = "4"
    & join("3","1") = "15"
    & join("3","2") = "4"
    & join("3","3") = "3"
    & join("3","4") = "4"
    & join("3","5") = "4"
    & join("3","6") = "6"
    & join("3","7") = "15"
    & join("3","8") = "6"
    & join("3","9") = "3"
    & join("3","10") = "6"
    & join("3","11") = "15"
    & join("3","12") = "4"
    & join("3","13") = "6"
    & join("3","14") = "3"
    & join("3","15") = "15"
    & join("4","1") = "4"
    & join("4","2") = "4"
    & join("4","3") = "4"
    & join("4","4") = "4"
    & join("4","5") = "4"
    & join("4","6") = "4"
    & join("4","7") = "4"
    & join("4","8") = "4"
    & join("4","9") = "4"
    & join("4","10") = "4"
    & join("4","11") = "4"
    & join("4","12") = "4"
    & join("4","13") = "4"
    & join("4","14") = "4"
    & join("4","15") = "4"
    & join("5","1") = "12"
    & join("5","2") = "5"
    & join("5","3") = "4"
    & join("5","4") = "4"
    & join("5","5") = "5"
    & join("5","6") = "4"
    & join("5","7") = "12"
    & join("5","8") = "5"
    & join("5","9") = "5"
    & join("5","10") = "12"
    & join("5","11") = "5"
    & join("5","12") = "12"
    & join("5","13") = "5"
    & join("5","14") = "5"
    & join("5","15") = "4"
    & join("6","1") = "15"
    & join("6","2") = "4"
    & join("6","3") = "6"
    & join("6","4") = "4"
    & join("6","5") = "4"
    & join("6","6") = "6"
    & join("6","7") = "15"
    & join("6","8") = "6"
    & join("6","9") = "6"
    & join("6","10") = "6"
    & join("6","11") = "15"
    & join("6","12") = "4"
    & join("6","13") = "6"
    & join("6","14") = "6"
    & join("6","15") = "15"
    & join("7","1") = "1"
    & join("7","2") = "12"
    & join("7","3") = "15"
    & join("7","4") = "4"
    & join("7","5") = "12"
    & join("7","6") = "15"
    & join("7","7") = "7"
    & join("7","8") = "7"
    & join("7","9") = "7"
    & join("7","10") = "7"
    & join("7","11") = "7"
    & join("7","12") = "12"
    & join("7","13") = "7"
    & join("7","14") = "7"
    & join("7","15") = "15"
    & join("8","1") = "1"
    & join("8","2") = "2"
    & join("8","3") = "6"
    & join("8","4") = "4"
    & join("8","5") = "5"
    & join("8","6") = "6"
    & join("8","7") = "7"
    & join("8","8") = "8"
    & join("8","9") = "13"
    & join("8","10") = "10"
    & join("8","11") = "11"
    & join("8","12") = "12"
    & join("8","13") = "13"
    & join("8","14") = "8"
    & join("8","15") = "15"
    & join("9","1") = "1"
    & join("9","2") = "5"
    & join("9","3") = "3"
    & join("9","4") = "4"
    & join("9","5") = "5"
    & join("9","6") = "6"
    & join("9","7") = "7"
    & join("9","8") = "13"
    & join("9","9") = "9"
    & join("9","10") = "10"
    & join("9","11") = "11"
    & join("9","12") = "12"
    & join("9","13") = "13"
    & join("9","14") = "9"
    & join("9","15") = "15"
    & join("10","1") = "1"
    & join("10","2") = "12"
    & join("10","3") = "6"
    & join("10","4") = "4"
    & join("10","5") = "12"
    & join("10","6") = "6"
    & join("10","7") = "7"
    & join("10","8") = "10"
    & join("10","9") = "10"
    & join("10","10") = "10"
    & join("10","11") = "7"
    & join("10","12") = "12"
    & join("10","13") = "10"
    & join("10","14") = "10"
    & join("10","15") = "15"
    & join("11","1") = "1"
    & join("11","2") = "5"
    & join("11","3") = "15"
    & join("11","4") = "4"
    & join("11","5") = "5"
    & join("11","6") = "15"
    & join("11","7") = "7"
    & join("11","8") = "11"
    & join("11","9") = "11"
    & join("11","10") = "7"
    & join("11","11") = "11"
    & join("11","12") = "12"
    & join("11","13") = "11"
    & join("11","14") = "11"
    & join("11","15") = "15"
    & join("12","1") = "12"
    & join("12","2") = "12"
    & join("12","3") = "4"
    & join("12","4") = "4"
    & join("12","5") = "12"
    & join("12","6") = "4"
    & join("12","7") = "12"
    & join("12","8") = "12"
    & join("12","9") = "12"
    & join("12","10") = "12"
    & join("12","11") = "12"
    & join("12","12") = "12"
    & join("12","13") = "12"
    & join("12","14") = "12"
    & join("12","15") = "4"
    & join("13","1") = "1"
    & join("13","2") = "5"
    & join("13","3") = "6"
    & join("13","4") = "4"
    & join("13","5") = "5"
    & join("13","6") = "6"
    & join("13","7") = "7"
    & join("13","8") = "13"
    & join("13","9") = "13"
    & join("13","10") = "10"
    & join("13","11") = "11"
    & join("13","12") = "12"
    & join("13","13") = "13"
    & join("13","14") = "13"
    & join("13","15") = "15"
    & join("14","1") = "1"
    & join("14","2") = "2"
    & join("14","3") = "3"
    & join("14","4") = "4"
    & join("14","5") = "5"
    & join("14","6") = "6"
    & join("14","7") = "7"
    & join("14","8") = "8"
    & join("14","9") = "9"
    & join("14","10") = "10"
    & join("14","11") = "11"
    & join("14","12") = "12"
    & join("14","13") = "13"
    & join("14","14") = "14"
    & join("14","15") = "15"
    & join("15","1") = "15"
    & join("15","2") = "4"
    & join("15","3") = "15"
    & join("15","4") = "4"
    & join("15","5") = "4"
    & join("15","6") = "15"
    & join("15","7") = "15"
    & join("15","8") = "15"
    & join("15","9") = "15"
    & join("15","10") = "15"
    & join("15","11") = "15"
    & join("15","12") = "4"
    & join("15","13") = "15"
    & join("15","14") = "15"
    & join("15","15") = "15" ) ).

fof(meet,fi_functors,
    ( meet("1","1") = "1"
    & meet("1","2") = "8"
    & meet("1","3") = "9"
    & meet("1","4") = "1"
    & meet("1","5") = "11"
    & meet("1","6") = "10"
    & meet("1","7") = "7"
    & meet("1","8") = "8"
    & meet("1","9") = "9"
    & meet("1","10") = "10"
    & meet("1","11") = "11"
    & meet("1","12") = "1"
    & meet("1","13") = "13"
    & meet("1","14") = "14"
    & meet("1","15") = "1"
    & meet("2","1") = "8"
    & meet("2","2") = "2"
    & meet("2","3") = "14"
    & meet("2","4") = "2"
    & meet("2","5") = "2"
    & meet("2","6") = "8"
    & meet("2","7") = "8"
    & meet("2","8") = "8"
    & meet("2","9") = "14"
    & meet("2","10") = "8"
    & meet("2","11") = "8"
    & meet("2","12") = "2"
    & meet("2","13") = "8"
    & meet("2","14") = "14"
    & meet("2","15") = "8"
    & meet("3","1") = "9"
    & meet("3","2") = "14"
    & meet("3","3") = "3"
    & meet("3","4") = "3"
    & meet("3","5") = "9"
    & meet("3","6") = "3"
    & meet("3","7") = "9"
    & meet("3","8") = "14"
    & meet("3","9") = "9"
    & meet("3","10") = "9"
    & meet("3","11") = "9"
    & meet("3","12") = "9"
    & meet("3","13") = "9"
    & meet("3","14") = "14"
    & meet("3","15") = "3"
    & meet("4","1") = "1"
    & meet("4","2") = "2"
    & meet("4","3") = "3"
    & meet("4","4") = "4"
    & meet("4","5") = "5"
    & meet("4","6") = "6"
    & meet("4","7") = "7"
    & meet("4","8") = "8"
    & meet("4","9") = "9"
    & meet("4","10") = "10"
    & meet("4","11") = "11"
    & meet("4","12") = "12"
    & meet("4","13") = "13"
    & meet("4","14") = "14"
    & meet("4","15") = "15"
    & meet("5","1") = "11"
    & meet("5","2") = "2"
    & meet("5","3") = "9"
    & meet("5","4") = "5"
    & meet("5","5") = "5"
    & meet("5","6") = "13"
    & meet("5","7") = "11"
    & meet("5","8") = "8"
    & meet("5","9") = "9"
    & meet("5","10") = "13"
    & meet("5","11") = "11"
    & meet("5","12") = "5"
    & meet("5","13") = "13"
    & meet("5","14") = "14"
    & meet("5","15") = "11"
    & meet("6","1") = "10"
    & meet("6","2") = "8"
    & meet("6","3") = "3"
    & meet("6","4") = "6"
    & meet("6","5") = "13"
    & meet("6","6") = "6"
    & meet("6","7") = "10"
    & meet("6","8") = "8"
    & meet("6","9") = "9"
    & meet("6","10") = "10"
    & meet("6","11") = "13"
    & meet("6","12") = "10"
    & meet("6","13") = "13"
    & meet("6","14") = "14"
    & meet("6","15") = "6"
    & meet("7","1") = "7"
    & meet("7","2") = "8"
    & meet("7","3") = "9"
    & meet("7","4") = "7"
    & meet("7","5") = "11"
    & meet("7","6") = "10"
    & meet("7","7") = "7"
    & meet("7","8") = "8"
    & meet("7","9") = "9"
    & meet("7","10") = "10"
    & meet("7","11") = "11"
    & meet("7","12") = "7"
    & meet("7","13") = "13"
    & meet("7","14") = "14"
    & meet("7","15") = "7"
    & meet("8","1") = "8"
    & meet("8","2") = "8"
    & meet("8","3") = "14"
    & meet("8","4") = "8"
    & meet("8","5") = "8"
    & meet("8","6") = "8"
    & meet("8","7") = "8"
    & meet("8","8") = "8"
    & meet("8","9") = "14"
    & meet("8","10") = "8"
    & meet("8","11") = "8"
    & meet("8","12") = "8"
    & meet("8","13") = "8"
    & meet("8","14") = "14"
    & meet("8","15") = "8"
    & meet("9","1") = "9"
    & meet("9","2") = "14"
    & meet("9","3") = "9"
    & meet("9","4") = "9"
    & meet("9","5") = "9"
    & meet("9","6") = "9"
    & meet("9","7") = "9"
    & meet("9","8") = "14"
    & meet("9","9") = "9"
    & meet("9","10") = "9"
    & meet("9","11") = "9"
    & meet("9","12") = "9"
    & meet("9","13") = "9"
    & meet("9","14") = "14"
    & meet("9","15") = "9"
    & meet("10","1") = "10"
    & meet("10","2") = "8"
    & meet("10","3") = "9"
    & meet("10","4") = "10"
    & meet("10","5") = "13"
    & meet("10","6") = "10"
    & meet("10","7") = "10"
    & meet("10","8") = "8"
    & meet("10","9") = "9"
    & meet("10","10") = "10"
    & meet("10","11") = "13"
    & meet("10","12") = "10"
    & meet("10","13") = "13"
    & meet("10","14") = "14"
    & meet("10","15") = "10"
    & meet("11","1") = "11"
    & meet("11","2") = "8"
    & meet("11","3") = "9"
    & meet("11","4") = "11"
    & meet("11","5") = "11"
    & meet("11","6") = "13"
    & meet("11","7") = "11"
    & meet("11","8") = "8"
    & meet("11","9") = "9"
    & meet("11","10") = "13"
    & meet("11","11") = "11"
    & meet("11","12") = "11"
    & meet("11","13") = "13"
    & meet("11","14") = "14"
    & meet("11","15") = "11"
    & meet("12","1") = "1"
    & meet("12","2") = "2"
    & meet("12","3") = "9"
    & meet("12","4") = "12"
    & meet("12","5") = "5"
    & meet("12","6") = "10"
    & meet("12","7") = "7"
    & meet("12","8") = "8"
    & meet("12","9") = "9"
    & meet("12","10") = "10"
    & meet("12","11") = "11"
    & meet("12","12") = "12"
    & meet("12","13") = "13"
    & meet("12","14") = "14"
    & meet("12","15") = "1"
    & meet("13","1") = "13"
    & meet("13","2") = "8"
    & meet("13","3") = "9"
    & meet("13","4") = "13"
    & meet("13","5") = "13"
    & meet("13","6") = "13"
    & meet("13","7") = "13"
    & meet("13","8") = "8"
    & meet("13","9") = "9"
    & meet("13","10") = "13"
    & meet("13","11") = "13"
    & meet("13","12") = "13"
    & meet("13","13") = "13"
    & meet("13","14") = "14"
    & meet("13","15") = "13"
    & meet("14","1") = "14"
    & meet("14","2") = "14"
    & meet("14","3") = "14"
    & meet("14","4") = "14"
    & meet("14","5") = "14"
    & meet("14","6") = "14"
    & meet("14","7") = "14"
    & meet("14","8") = "14"
    & meet("14","9") = "14"
    & meet("14","10") = "14"
    & meet("14","11") = "14"
    & meet("14","12") = "14"
    & meet("14","13") = "14"
    & meet("14","14") = "14"
    & meet("14","15") = "14"
    & meet("15","1") = "1"
    & meet("15","2") = "8"
    & meet("15","3") = "3"
    & meet("15","4") = "15"
    & meet("15","5") = "11"
    & meet("15","6") = "6"
    & meet("15","7") = "7"
    & meet("15","8") = "8"
    & meet("15","9") = "9"
    & meet("15","10") = "10"
    & meet("15","11") = "11"
    & meet("15","12") = "1"
    & meet("15","13") = "13"
    & meet("15","14") = "14"
    & meet("15","15") = "15" ) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12  % Problem  : LAT126-1 : TPTP v8.1.0. Released v3.1.0.
% 0.07/0.13  % Command  : paradox --no-progress --time %d --tstp --model %s
% 0.13/0.33  % Computer : n011.cluster.edu
% 0.13/0.33  % Model    : x86_64 x86_64
% 0.13/0.33  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.33  % Memory   : 8042.1875MB
% 0.13/0.33  % 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 : Wed Jun 29 03:28:47 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
% 0.13/0.34  Reading 'Axioms/LAT001-0.ax' ... ('/export/starexec/sandbox/benchmark/Axioms/LAT001-0.ax') OK
% 0.13/0.35  +++ SOLVING: /export/starexec/sandbox/benchmark/theBenchmark.p
% 51.16/51.39  +++ BEGIN MODEL
% 51.16/51.39  SZS output start FiniteModel for /export/starexec/sandbox/benchmark/theBenchmark.p
% See solution above
% 51.16/51.39  +++ END MODEL
% 51.25/51.49  +++ RESULT: Satisfiable
% 51.25/51.49  SZS status Satisfiable for /export/starexec/sandbox/benchmark/theBenchmark.p
%------------------------------------------------------------------------------