TSTP Solution File: NLP042-1 by Paradox---4.0

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Paradox---4.0
% Problem  : NLP042-1 : TPTP v8.1.0. Released v2.4.0.
% Transfm  : none
% Format   : tptp:short
% Command  : paradox --no-progress --time %d --tstp --model %s

% Computer : n029.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 03:33:06 EDT 2022

% Result   : Satisfiable 0.19s 0.37s
% Output   : FiniteModel 0.19s
% Verified : 
% SZS Type : FiniteModel
%            Domain size           :    4

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

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

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

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

fof(agent,fi_predicates,
    ( ( agent("1","1","1")
    <=> $false )
    & ( agent("1","1","2")
    <=> $false )
    & ( agent("1","1","3")
    <=> $false )
    & ( agent("1","1","4")
    <=> $true )
    & ( agent("1","2","1")
    <=> $false )
    & ( agent("1","2","2")
    <=> $false )
    & ( agent("1","2","3")
    <=> $false )
    & ( agent("1","2","4")
    <=> $false )
    & ( agent("1","3","1")
    <=> $false )
    & ( agent("1","3","2")
    <=> $false )
    & ( agent("1","3","3")
    <=> $false )
    & ( agent("1","3","4")
    <=> $false )
    & ( agent("1","4","1")
    <=> $false )
    & ( agent("1","4","2")
    <=> $false )
    & ( agent("1","4","3")
    <=> $false )
    & ( agent("1","4","4")
    <=> $false )
    & ! [X2,X3] :
        ( agent("2",X2,X3)
      <=> agent("1",X2,X3) )
    & ! [X2,X3] :
        ( agent("3",X2,X3)
      <=> agent("2",X2,X3) )
    & ! [X2,X3] :
        ( agent("4",X2,X3)
      <=> agent("3",X2,X3) ) ) ).

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

fof(of,fi_predicates,
    ( ( of("1","1","1")
    <=> $true )
    & ( of("1","1","2")
    <=> $false )
    & ( of("1","1","3")
    <=> $false )
    & ( of("1","1","4")
    <=> $false )
    & ( of("1","2","1")
    <=> $true )
    & ( of("1","2","2")
    <=> $false )
    & ( of("1","2","3")
    <=> $true )
    & ( of("1","2","4")
    <=> $false )
    & ( of("1","3","1")
    <=> $true )
    & ( of("1","3","2")
    <=> $false )
    & ( of("1","3","3")
    <=> $false )
    & ( of("1","3","4")
    <=> $true )
    & ( of("1","4","1")
    <=> $false )
    & ( of("1","4","2")
    <=> $false )
    & ( of("1","4","3")
    <=> $true )
    & ( of("1","4","4")
    <=> $false )
    & ! [X2,X3] :
        ( of("2",X2,X3)
      <=> of("1",X2,X3) )
    & ! [X2,X3] :
        ( of("3",X2,X3)
      <=> of("2",X2,X3) )
    & ! [X2,X3] :
        ( of("4",X2,X3)
      <=> of("3",X2,X3) ) ) ).

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

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

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

fof(patient,fi_predicates,
    ( ( patient("1","1","1")
    <=> $false )
    & ( patient("1","1","2")
    <=> $true )
    & ( patient("1","1","3")
    <=> $false )
    & ( patient("1","1","4")
    <=> $false )
    & ( patient("1","2","1")
    <=> $false )
    & ( patient("1","2","2")
    <=> $false )
    & ( patient("1","2","3")
    <=> $false )
    & ( patient("1","2","4")
    <=> $false )
    & ( patient("1","3","1")
    <=> $false )
    & ( patient("1","3","2")
    <=> $false )
    & ( patient("1","3","3")
    <=> $false )
    & ( patient("1","3","4")
    <=> $false )
    & ( patient("1","4","1")
    <=> $false )
    & ( patient("1","4","2")
    <=> $false )
    & ( patient("1","4","3")
    <=> $false )
    & ( patient("1","4","4")
    <=> $false )
    & ! [X2,X3] :
        ( patient("2",X2,X3)
      <=> patient("1",X2,X3) )
    & ! [X2,X3] :
        ( patient("3",X2,X3)
      <=> patient("2",X2,X3) )
    & ! [X2,X3] :
        ( patient("4",X2,X3)
      <=> patient("3",X2,X3) ) ) ).

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

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

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

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

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

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

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

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

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.04/0.12  % Problem  : NLP042-1 : TPTP v8.1.0. Released v2.4.0.
% 0.04/0.13  % Command  : paradox --no-progress --time %d --tstp --model %s
% 0.13/0.34  % Computer : n029.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 : Fri Jul  1 06:43:09 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/sandbox2/benchmark/theBenchmark.p
% 0.13/0.34  Reading '/export/starexec/sandbox2/benchmark/theBenchmark.p' ... OK
% 0.13/0.35  +++ SOLVING: /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.13/0.36  +++ BEGIN MODEL
% 0.13/0.36  SZS output start FiniteModel for /export/starexec/sandbox2/benchmark/theBenchmark.p
% See solution above
% 0.19/0.37  +++ END MODEL
% 0.19/0.37  +++ RESULT: Satisfiable
% 0.19/0.37  SZS status Satisfiable for /export/starexec/sandbox2/benchmark/theBenchmark.p
%------------------------------------------------------------------------------