TSTP Solution File: NLP126-1 by Paradox---4.0

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Paradox---4.0
% Problem  : NLP126-1 : TPTP v8.1.0. Released v2.4.0.
% 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 05:00:26 EDT 2022

% Result   : Satisfiable 0.19s 0.36s
% Output   : FiniteModel 0.19s
% Verified : 
% SZS Type : FiniteModel
%            Domain size           :    3

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

fof(abstraction,fi_predicates,
    ( ( abstraction("1","1")
    <=> $false )
    & ( abstraction("1","2")
    <=> $false )
    & ( abstraction("1","3")
    <=> $true )
    & ! [X2] :
        ( abstraction("2",X2)
      <=> abstraction("1",X2) )
    & ! [X2] :
        ( abstraction("3",X2)
      <=> abstraction("2",X2) ) ) ).

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

fof(agent,fi_predicates,
    ! [X1,X2,X3] :
      ( agent(X1,X2,X3)
    <=> $true ) ).

fof(artifact,fi_predicates,
    ( ( artifact("1","1")
    <=> $false )
    & ( artifact("1","2")
    <=> $true )
    & ( artifact("1","3")
    <=> $false )
    & ! [X2] :
        ( artifact("2",X2)
      <=> artifact("1",X2) )
    & ! [X2] :
        ( artifact("3",X2)
      <=> artifact("2",X2) ) ) ).

fof(barrel,fi_predicates,
    ( ( barrel("1","1")
    <=> $true )
    & ( barrel("1","2")
    <=> $false )
    & ( barrel("1","3")
    <=> $false )
    & ! [X2] :
        ( barrel("2",X2)
      <=> barrel("1",X2) )
    & ! [X2] :
        ( barrel("3",X2)
      <=> barrel("2",X2) ) ) ).

fof(car,fi_predicates,
    ( ( car("1","1")
    <=> $false )
    & ( car("1","2")
    <=> $true )
    & ( car("1","3")
    <=> $false )
    & ! [X2] :
        ( car("2",X2)
      <=> car("1",X2) )
    & ! [X2] :
        ( car("3",X2)
      <=> car("2",X2) ) ) ).

fof(chevy,fi_predicates,
    ( ( chevy("1","1")
    <=> $false )
    & ( chevy("1","2")
    <=> $true )
    & ( chevy("1","3")
    <=> $false )
    & ! [X2] :
        ( chevy("2",X2)
      <=> chevy("1",X2) )
    & ! [X2] :
        ( chevy("3",X2)
      <=> chevy("2",X2) ) ) ).

fof(city,fi_predicates,
    ( ( city("1","1")
    <=> $false )
    & ( city("1","2")
    <=> $true )
    & ( city("1","3")
    <=> $false )
    & ! [X2] :
        ( city("2",X2)
      <=> city("1",X2) )
    & ! [X2] :
        ( city("3",X2)
      <=> city("2",X2) ) ) ).

fof(dirty,fi_predicates,
    ! [X1,X2] :
      ( dirty(X1,X2)
    <=> $true ) ).

fof(down,fi_predicates,
    ! [X1,X2,X3] :
      ( down(X1,X2,X3)
    <=> $true ) ).

fof(entity,fi_predicates,
    ( ( entity("1","1")
    <=> $false )
    & ( entity("1","2")
    <=> $true )
    & ( entity("1","3")
    <=> $false )
    & ! [X2] :
        ( entity("2",X2)
      <=> entity("1",X2) )
    & ! [X2] :
        ( entity("3",X2)
      <=> entity("2",X2) ) ) ).

fof(event,fi_predicates,
    ( ( event("1","1")
    <=> $true )
    & ( event("1","2")
    <=> $false )
    & ( event("1","3")
    <=> $false )
    & ! [X2] :
        ( event("2",X2)
      <=> event("1",X2) )
    & ! [X2] :
        ( event("3",X2)
      <=> event("2",X2) ) ) ).

fof(eventuality,fi_predicates,
    ( ( eventuality("1","1")
    <=> $true )
    & ( eventuality("1","2")
    <=> $false )
    & ( eventuality("1","3")
    <=> $false )
    & ! [X2] :
        ( eventuality("2",X2)
      <=> eventuality("1",X2) )
    & ! [X2] :
        ( eventuality("3",X2)
      <=> eventuality("2",X2) ) ) ).

fof(existent,fi_predicates,
    ( ( existent("1","1")
    <=> $false )
    & ( existent("1","2")
    <=> $true )
    & ( existent("1","3")
    <=> $false )
    & ! [X2] :
        ( existent("2",X2)
      <=> existent("1",X2) )
    & ! [X2] :
        ( existent("3",X2)
      <=> existent("2",X2) ) ) ).

fof(general,fi_predicates,
    ( ( general("1","1")
    <=> $false )
    & ( general("1","2")
    <=> $false )
    & ( general("1","3")
    <=> $true )
    & ! [X2] :
        ( general("2",X2)
      <=> general("1",X2) )
    & ! [X2] :
        ( general("3",X2)
      <=> general("2",X2) ) ) ).

fof(hollywood_placename,fi_predicates,
    ( ( hollywood_placename("1","1")
    <=> $false )
    & ( hollywood_placename("1","2")
    <=> $false )
    & ( hollywood_placename("1","3")
    <=> $true )
    & ! [X2] :
        ( hollywood_placename("2",X2)
      <=> hollywood_placename("1",X2) )
    & ! [X2] :
        ( hollywood_placename("3",X2)
      <=> hollywood_placename("2",X2) ) ) ).

fof(impartial,fi_predicates,
    ! [X1,X2] :
      ( impartial(X1,X2)
    <=> $true ) ).

fof(in,fi_predicates,
    ! [X1,X2,X3] :
      ( in(X1,X2,X3)
    <=> $true ) ).

fof(instrumentality,fi_predicates,
    ( ( instrumentality("1","1")
    <=> $false )
    & ( instrumentality("1","2")
    <=> $true )
    & ( instrumentality("1","3")
    <=> $false )
    & ! [X2] :
        ( instrumentality("2",X2)
      <=> instrumentality("1",X2) )
    & ! [X2] :
        ( instrumentality("3",X2)
      <=> instrumentality("2",X2) ) ) ).

fof(location,fi_predicates,
    ( ( location("1","1")
    <=> $false )
    & ( location("1","2")
    <=> $true )
    & ( location("1","3")
    <=> $false )
    & ! [X2] :
        ( location("2",X2)
      <=> location("1",X2) )
    & ! [X2] :
        ( location("3",X2)
      <=> location("2",X2) ) ) ).

fof(lonely,fi_predicates,
    ! [X1,X2] :
      ( lonely(X1,X2)
    <=> $true ) ).

fof(nonexistent,fi_predicates,
    ( ( nonexistent("1","1")
    <=> $true )
    & ( nonexistent("1","2")
    <=> $false )
    & ( nonexistent("1","3")
    <=> $false )
    & ! [X2] :
        ( nonexistent("2",X2)
      <=> nonexistent("1",X2) )
    & ! [X2] :
        ( nonexistent("3",X2)
      <=> nonexistent("2",X2) ) ) ).

fof(nonhuman,fi_predicates,
    ! [X1,X2] :
      ( nonhuman(X1,X2)
    <=> $true ) ).

fof(nonliving,fi_predicates,
    ! [X1,X2] :
      ( nonliving(X1,X2)
    <=> $true ) ).

fof(object,fi_predicates,
    ( ( object("1","1")
    <=> $false )
    & ( object("1","2")
    <=> $true )
    & ( object("1","3")
    <=> $false )
    & ! [X2] :
        ( object("2",X2)
      <=> object("1",X2) )
    & ! [X2] :
        ( object("3",X2)
      <=> object("2",X2) ) ) ).

fof(of,fi_predicates,
    ( ( of("1","1","1")
    <=> $true )
    & ( of("1","1","2")
    <=> $true )
    & ( of("1","1","3")
    <=> $true )
    & ( of("1","2","1")
    <=> $false )
    & ( of("1","2","2")
    <=> $true )
    & ( of("1","2","3")
    <=> $true )
    & ( of("1","3","1")
    <=> $true )
    & ( of("1","3","2")
    <=> $true )
    & ( of("1","3","3")
    <=> $false )
    & ! [X2,X3] :
        ( of("2",X2,X3)
      <=> of("1",X2,X3) )
    & ! [X2,X3] :
        ( of("3",X2,X3)
      <=> of("2",X2,X3) ) ) ).

fof(old,fi_predicates,
    ! [X1,X2] :
      ( old(X1,X2)
    <=> $true ) ).

fof(placename,fi_predicates,
    ( ( placename("1","1")
    <=> $false )
    & ( placename("1","2")
    <=> $false )
    & ( placename("1","3")
    <=> $true )
    & ! [X2] :
        ( placename("2",X2)
      <=> placename("1",X2) )
    & ! [X2] :
        ( placename("3",X2)
      <=> placename("2",X2) ) ) ).

fof(present,fi_predicates,
    ! [X1,X2] :
      ( present(X1,X2)
    <=> $true ) ).

fof(relation,fi_predicates,
    ( ( relation("1","1")
    <=> $false )
    & ( relation("1","2")
    <=> $false )
    & ( relation("1","3")
    <=> $true )
    & ! [X2] :
        ( relation("2",X2)
      <=> relation("1",X2) )
    & ! [X2] :
        ( relation("3",X2)
      <=> relation("2",X2) ) ) ).

fof(relname,fi_predicates,
    ( ( relname("1","1")
    <=> $false )
    & ( relname("1","2")
    <=> $false )
    & ( relname("1","3")
    <=> $true )
    & ! [X2] :
        ( relname("2",X2)
      <=> relname("1",X2) )
    & ! [X2] :
        ( relname("3",X2)
      <=> relname("2",X2) ) ) ).

fof(singleton,fi_predicates,
    ! [X1,X2] :
      ( singleton(X1,X2)
    <=> $true ) ).

fof(skc5,fi_functors,
    skc5 = "1" ).

fof(skc6,fi_functors,
    skc6 = "1" ).

fof(skc7,fi_functors,
    skc7 = "2" ).

fof(skc8,fi_functors,
    skc8 = "3" ).

fof(skc9,fi_functors,
    skc9 = "2" ).

fof(specific,fi_predicates,
    ( ( specific("1","1")
    <=> $true )
    & ( specific("1","2")
    <=> $true )
    & ( specific("1","3")
    <=> $false )
    & ! [X2] :
        ( specific("2",X2)
      <=> specific("1",X2) )
    & ! [X2] :
        ( specific("3",X2)
      <=> specific("2",X2) ) ) ).

fof(street,fi_predicates,
    ( ( street("1","1")
    <=> $false )
    & ( street("1","2")
    <=> $true )
    & ( street("1","3")
    <=> $false )
    & ! [X2] :
        ( street("2",X2)
      <=> street("1",X2) )
    & ! [X2] :
        ( street("3",X2)
      <=> street("2",X2) ) ) ).

fof(thing,fi_predicates,
    ! [X1,X2] :
      ( thing(X1,X2)
    <=> $true ) ).

fof(transport,fi_predicates,
    ( ( transport("1","1")
    <=> $false )
    & ( transport("1","2")
    <=> $true )
    & ( transport("1","3")
    <=> $false )
    & ! [X2] :
        ( transport("2",X2)
      <=> transport("1",X2) )
    & ! [X2] :
        ( transport("3",X2)
      <=> transport("2",X2) ) ) ).

fof(unisex,fi_predicates,
    ! [X1,X2] :
      ( unisex(X1,X2)
    <=> $true ) ).

fof(vehicle,fi_predicates,
    ( ( vehicle("1","1")
    <=> $false )
    & ( vehicle("1","2")
    <=> $true )
    & ( vehicle("1","3")
    <=> $false )
    & ! [X2] :
        ( vehicle("2",X2)
      <=> vehicle("1",X2) )
    & ! [X2] :
        ( vehicle("3",X2)
      <=> vehicle("2",X2) ) ) ).

fof(way,fi_predicates,
    ( ( way("1","1")
    <=> $false )
    & ( way("1","2")
    <=> $true )
    & ( way("1","3")
    <=> $false )
    & ! [X2] :
        ( way("2",X2)
      <=> way("1",X2) )
    & ! [X2] :
        ( way("3",X2)
      <=> way("2",X2) ) ) ).

fof(white,fi_predicates,
    ! [X1,X2] :
      ( white(X1,X2)
    <=> $true ) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12  % Problem  : NLP126-1 : TPTP v8.1.0. Released v2.4.0.
% 0.03/0.13  % Command  : paradox --no-progress --time %d --tstp --model %s
% 0.13/0.34  % Computer : n019.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 : Thu Jun 30 18:01:53 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  +++ SOLVING: /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.19/0.36  +++ BEGIN MODEL
% 0.19/0.36  SZS output start FiniteModel for /export/starexec/sandbox/benchmark/theBenchmark.p
% See solution above
% 0.19/0.36  +++ END MODEL
% 0.19/0.36  +++ RESULT: Satisfiable
% 0.19/0.36  SZS status Satisfiable for /export/starexec/sandbox/benchmark/theBenchmark.p
%------------------------------------------------------------------------------