TSTP Solution File: PUZ018-2 by Paradox---4.0

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Paradox---4.0
% Problem  : PUZ018-2 : TPTP v8.1.0. Released v1.2.0.
% Transfm  : none
% Format   : tptp:short
% Command  : paradox --no-progress --time %d --tstp --model %s

% Computer : n019.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 18:23:23 EDT 2022

% Result   : Satisfiable 0.14s 0.37s
% Output   : FiniteModel 0.14s
% 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(a,fi_functors,
    a = "1" ).

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

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

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

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

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

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

fof(on,fi_predicates,
    ( ( on("1","1")
    <=> $true )
    & ( on("1","2")
    <=> $false )
    & ( on("1","3")
    <=> $true )
    & ( on("1","4")
    <=> $true )
    & ( on("1","5")
    <=> $true )
    & ( on("1","6")
    <=> $false )
    & ( on("1","7")
    <=> $false )
    & ( on("2","1")
    <=> $false )
    & ( on("2","2")
    <=> $false )
    & ( on("2","3")
    <=> $true )
    & ( on("2","4")
    <=> $true )
    & ( on("2","5")
    <=> $false )
    & ( on("2","6")
    <=> $true )
    & ( on("2","7")
    <=> $true )
    & ( on("3","1")
    <=> $false )
    & ( on("3","2")
    <=> $true )
    & ( on("3","3")
    <=> $false )
    & ( on("3","4")
    <=> $true )
    & ( on("3","5")
    <=> $true )
    & ( on("3","6")
    <=> $false )
    & ( on("3","7")
    <=> $true )
    & ! [X2] :
        ( on("4",X2)
      <=> on("3",X2) )
    & ! [X2] :
        ( on("5",X2)
      <=> on("4",X2) )
    & ! [X2] :
        ( on("6",X2)
      <=> on("5",X2) )
    & ! [X2] :
        ( on("7",X2)
      <=> on("6",X2) ) ) ).

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

fof(same_person,fi_predicates,
    ( ( same_person("1","1")
    <=> $true )
    & ( same_person("1","2")
    <=> $false )
    & ( same_person("1","3")
    <=> $false )
    & ( same_person("2","1")
    <=> $false )
    & ( same_person("2","2")
    <=> $true )
    & ( same_person("2","3")
    <=> $false )
    & ( same_person("3","1")
    <=> $false )
    & ( same_person("3","2")
    <=> $false )
    & ( same_person("3","3")
    <=> $true )
    & ! [X2] :
        ( same_person("4",X2)
      <=> same_person("3",X2) )
    & ! [X2] :
        ( same_person("5",X2)
      <=> same_person("4",X2) )
    & ! [X2] :
        ( same_person("6",X2)
      <=> same_person("5",X2) )
    & ! [X2] :
        ( same_person("7",X2)
      <=> same_person("6",X2) )
    & ! [X1] :
        ( same_person(X1,"4")
      <=> same_person(X1,"3") )
    & ! [X1] :
        ( same_person(X1,"5")
      <=> same_person(X1,"4") )
    & ! [X1] :
        ( same_person(X1,"6")
      <=> same_person(X1,"5") )
    & ! [X1] :
        ( same_person(X1,"7")
      <=> same_person(X1,"6") ) ) ).

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

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

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

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

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

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.13  % Problem  : PUZ018-2 : TPTP v8.1.0. Released v1.2.0.
% 0.07/0.13  % Command  : paradox --no-progress --time %d --tstp --model %s
% 0.14/0.34  % Computer : n019.cluster.edu
% 0.14/0.34  % Model    : x86_64 x86_64
% 0.14/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.34  % Memory   : 8042.1875MB
% 0.14/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.14/0.34  % CPULimit : 300
% 0.14/0.34  % WCLimit  : 600
% 0.14/0.34  % DateTime : Sun May 29 00:02:56 EDT 2022
% 0.14/0.34  % CPUTime  : 
% 0.14/0.35  Paradox, version 4.0, 2010-06-29.
% 0.14/0.35  +++ PROBLEM: /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.14/0.35  Reading '/export/starexec/sandbox/benchmark/theBenchmark.p' ... OK
% 0.14/0.36  +++ SOLVING: /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.14/0.37  +++ BEGIN MODEL
% 0.14/0.37  SZS output start FiniteModel for /export/starexec/sandbox/benchmark/theBenchmark.p
% See solution above
% 0.14/0.37  +++ END MODEL
% 0.14/0.37  +++ RESULT: Satisfiable
% 0.14/0.37  SZS status Satisfiable for /export/starexec/sandbox/benchmark/theBenchmark.p
%------------------------------------------------------------------------------