TSTP Solution File: NLP041-1 by Paradox---4.0

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Paradox---4.0
% Problem  : NLP041-1 : TPTP v8.1.0. Released v2.4.0.
% Transfm  : none
% Format   : tptp:short
% Command  : paradox --no-progress --time %d --tstp --model %s

% Computer : n020.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 03:33:05 EDT 2022

% Result   : Satisfiable 0.21s 0.43s
% Output   : FiniteModel 0.21s
% Verified : 
% SZS Type : FiniteModel
%            Domain size           :    5

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

fof(member,fi_predicates,
    ( ( member("1","1","1")
    <=> $false )
    & ( member("1","1","2")
    <=> $false )
    & ( member("1","1","3")
    <=> $false )
    & ( member("1","1","4")
    <=> $false )
    & ( member("1","1","5")
    <=> $false )
    & ( member("1","2","1")
    <=> $true )
    & ( member("1","2","2")
    <=> $false )
    & ( member("1","2","3")
    <=> $false )
    & ( member("1","2","4")
    <=> $false )
    & ( member("1","2","5")
    <=> $false )
    & ( member("1","3","1")
    <=> $true )
    & ( member("1","3","2")
    <=> $false )
    & ( member("1","3","3")
    <=> $false )
    & ( member("1","3","4")
    <=> $false )
    & ( member("1","3","5")
    <=> $false )
    & ( member("1","4","1")
    <=> $true )
    & ( member("1","4","2")
    <=> $false )
    & ( member("1","4","3")
    <=> $false )
    & ( member("1","4","4")
    <=> $false )
    & ( member("1","4","5")
    <=> $false )
    & ( member("1","5","1")
    <=> $false )
    & ( member("1","5","2")
    <=> $false )
    & ( member("1","5","3")
    <=> $false )
    & ( member("1","5","4")
    <=> $false )
    & ( member("1","5","5")
    <=> $false )
    & ! [X2,X3] :
        ( member("2",X2,X3)
      <=> member("1",X2,X3) )
    & ! [X2,X3] :
        ( member("3",X2,X3)
      <=> member("2",X2,X3) )
    & ! [X2,X3] :
        ( member("4",X2,X3)
      <=> member("3",X2,X3) )
    & ! [X2,X3] :
        ( member("5",X2,X3)
      <=> member("4",X2,X3) ) ) ).

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

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

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

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

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

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

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

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

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

fof(skc2,fi_functors,
    skc2 = "1" ).

fof(skc3,fi_functors,
    skc3 = "1" ).

fof(skf10,fi_functors,
    ( skf10("1","1") = "3"
    & ! [X2] : skf10("2",X2) = skf10("1",X2)
    & ! [X2] : skf10("3",X2) = skf10("2",X2)
    & ! [X2] : skf10("4",X2) = skf10("3",X2)
    & ! [X2] : skf10("5",X2) = skf10("4",X2)
    & ! [X1] : skf10(X1,"2") = skf10(X1,"1")
    & ! [X1] : skf10(X1,"3") = skf10(X1,"2")
    & ! [X1] : skf10(X1,"4") = skf10(X1,"3")
    & ! [X1] : skf10(X1,"5") = skf10(X1,"4") ) ).

fof(skf11,fi_functors,
    ( skf11("1","1") = "3"
    & ! [X2] : skf11("2",X2) = skf11("1",X2)
    & ! [X2] : skf11("3",X2) = skf11("2",X2)
    & ! [X2] : skf11("4",X2) = skf11("3",X2)
    & ! [X2] : skf11("5",X2) = skf11("4",X2)
    & ! [X1] : skf11(X1,"2") = skf11(X1,"1")
    & ! [X1] : skf11(X1,"3") = skf11(X1,"2")
    & ! [X1] : skf11(X1,"4") = skf11(X1,"3")
    & ! [X1] : skf11(X1,"5") = skf11(X1,"4") ) ).

fof(skf13,fi_functors,
    ( skf13("1","1") = "4"
    & skf13("2","1") = "5"
    & skf13("3","1") = "5"
    & skf13("4","1") = "5"
    & skf13("5","1") = "5"
    & ! [X1] : skf13(X1,"2") = skf13(X1,"1")
    & ! [X1] : skf13(X1,"3") = skf13(X1,"2")
    & ! [X1] : skf13(X1,"4") = skf13(X1,"3")
    & ! [X1] : skf13(X1,"5") = skf13(X1,"4") ) ).

fof(skf15,fi_functors,
    ( skf15("1","1") = "3"
    & skf15("2","1") = "1"
    & skf15("3","1") = "2"
    & skf15("4","1") = "5"
    & skf15("5","1") = "5"
    & ! [X1] : skf15(X1,"2") = skf15(X1,"1")
    & ! [X1] : skf15(X1,"3") = skf15(X1,"2")
    & ! [X1] : skf15(X1,"4") = skf15(X1,"3")
    & ! [X1] : skf15(X1,"5") = skf15(X1,"4") ) ).

fof(skf17,fi_functors,
    ( skf17("1","1") = "2"
    & skf17("2","1") = "1"
    & skf17("3","1") = "2"
    & skf17("4","1") = "3"
    & skf17("5","1") = "4"
    & ! [X1] : skf17(X1,"2") = skf17(X1,"1")
    & ! [X1] : skf17(X1,"3") = skf17(X1,"2")
    & ! [X1] : skf17(X1,"4") = skf17(X1,"3")
    & ! [X1] : skf17(X1,"5") = skf17(X1,"4") ) ).

fof(skf18,fi_functors,
    ( skf18("1","1","1","1","1") = "1"
    & skf18("1","1","1","2","1") = "1"
    & skf18("1","1","1","3","1") = "2"
    & skf18("1","1","1","4","1") = "3"
    & skf18("1","1","1","5","1") = "4"
    & skf18("1","1","2","1","1") = "1"
    & skf18("1","1","2","2","1") = "2"
    & skf18("1","1","2","3","1") = "2"
    & skf18("1","1","2","4","1") = "3"
    & skf18("1","1","2","5","1") = "4"
    & skf18("1","1","3","1","1") = "2"
    & skf18("1","1","3","2","1") = "2"
    & skf18("1","1","3","3","1") = "2"
    & skf18("1","1","3","4","1") = "3"
    & skf18("1","1","3","5","1") = "4"
    & skf18("1","1","4","1","1") = "3"
    & skf18("1","1","4","2","1") = "3"
    & skf18("1","1","4","3","1") = "3"
    & skf18("1","1","4","4","1") = "3"
    & skf18("1","1","4","5","1") = "4"
    & skf18("1","1","5","1","1") = "4"
    & skf18("1","1","5","2","1") = "4"
    & skf18("1","1","5","3","1") = "4"
    & skf18("1","1","5","4","1") = "4"
    & skf18("1","1","5","5","1") = "4"
    & skf18("1","2","1","1","1") = "1"
    & skf18("1","2","1","2","1") = "1"
    & skf18("1","2","1","3","1") = "2"
    & skf18("1","2","1","4","1") = "3"
    & skf18("1","2","1","5","1") = "4"
    & skf18("1","2","2","1","1") = "2"
    & skf18("1","2","2","2","1") = "1"
    & skf18("1","2","2","3","1") = "2"
    & skf18("1","2","2","4","1") = "3"
    & skf18("1","2","2","5","1") = "4"
    & skf18("1","2","3","1","1") = "1"
    & skf18("1","2","3","2","1") = "1"
    & skf18("1","2","3","3","1") = "2"
    & skf18("1","2","3","4","1") = "3"
    & skf18("1","2","3","5","1") = "4"
    & skf18("1","2","4","1","1") = "3"
    & skf18("1","2","4","2","1") = "3"
    & skf18("1","2","4","3","1") = "3"
    & skf18("1","2","4","4","1") = "3"
    & skf18("1","2","4","5","1") = "4"
    & skf18("1","2","5","1","1") = "4"
    & skf18("1","2","5","2","1") = "4"
    & skf18("1","2","5","3","1") = "4"
    & skf18("1","2","5","4","1") = "4"
    & skf18("1","2","5","5","1") = "4"
    & skf18("1","3","1","1","1") = "1"
    & skf18("1","3","1","2","1") = "1"
    & skf18("1","3","1","3","1") = "1"
    & skf18("1","3","1","4","1") = "3"
    & skf18("1","3","1","5","1") = "4"
    & skf18("1","3","2","1","1") = "1"
    & skf18("1","3","2","2","1") = "1"
    & skf18("1","3","2","3","1") = "1"
    & skf18("1","3","2","4","1") = "3"
    & skf18("1","3","2","5","1") = "4"
    & skf18("1","3","3","1","1") = "2"
    & skf18("1","3","3","2","1") = "1"
    & skf18("1","3","3","3","1") = "2"
    & skf18("1","3","3","4","1") = "3"
    & skf18("1","3","3","5","1") = "4"
    & skf18("1","3","4","1","1") = "2"
    & skf18("1","3","4","2","1") = "3"
    & skf18("1","3","4","3","1") = "3"
    & skf18("1","3","4","4","1") = "3"
    & skf18("1","3","4","5","1") = "4"
    & skf18("1","3","5","1","1") = "4"
    & skf18("1","3","5","2","1") = "4"
    & skf18("1","3","5","3","1") = "4"
    & skf18("1","3","5","4","1") = "4"
    & skf18("1","3","5","5","1") = "4"
    & skf18("1","4","1","1","1") = "3"
    & skf18("1","4","1","2","1") = "3"
    & skf18("1","4","1","3","1") = "3"
    & skf18("1","4","1","4","1") = "3"
    & skf18("1","4","1","5","1") = "4"
    & skf18("1","4","2","1","1") = "3"
    & skf18("1","4","2","2","1") = "3"
    & skf18("1","4","2","3","1") = "3"
    & skf18("1","4","2","4","1") = "3"
    & skf18("1","4","2","5","1") = "4"
    & skf18("1","4","3","1","1") = "3"
    & skf18("1","4","3","2","1") = "3"
    & skf18("1","4","3","3","1") = "3"
    & skf18("1","4","3","4","1") = "3"
    & skf18("1","4","3","5","1") = "4"
    & skf18("1","4","4","1","1") = "3"
    & skf18("1","4","4","2","1") = "3"
    & skf18("1","4","4","3","1") = "3"
    & skf18("1","4","4","4","1") = "3"
    & skf18("1","4","4","5","1") = "4"
    & skf18("1","4","5","1","1") = "4"
    & skf18("1","4","5","2","1") = "4"
    & skf18("1","4","5","3","1") = "4"
    & skf18("1","4","5","4","1") = "4"
    & skf18("1","4","5","5","1") = "4"
    & skf18("1","5","1","1","1") = "4"
    & skf18("1","5","1","2","1") = "4"
    & skf18("1","5","1","3","1") = "4"
    & skf18("1","5","1","4","1") = "4"
    & skf18("1","5","1","5","1") = "4"
    & skf18("1","5","2","1","1") = "4"
    & skf18("1","5","2","2","1") = "4"
    & skf18("1","5","2","3","1") = "4"
    & skf18("1","5","2","4","1") = "4"
    & skf18("1","5","2","5","1") = "4"
    & skf18("1","5","3","1","1") = "4"
    & skf18("1","5","3","2","1") = "4"
    & skf18("1","5","3","3","1") = "4"
    & skf18("1","5","3","4","1") = "4"
    & skf18("1","5","3","5","1") = "4"
    & skf18("1","5","4","1","1") = "4"
    & skf18("1","5","4","2","1") = "4"
    & skf18("1","5","4","3","1") = "4"
    & skf18("1","5","4","4","1") = "4"
    & skf18("1","5","4","5","1") = "4"
    & skf18("1","5","5","1","1") = "4"
    & skf18("1","5","5","2","1") = "4"
    & skf18("1","5","5","3","1") = "4"
    & skf18("1","5","5","4","1") = "4"
    & skf18("1","5","5","5","1") = "4"
    & skf18("2","1","1","1","1") = "1"
    & skf18("2","1","1","2","1") = "1"
    & skf18("2","1","1","3","1") = "2"
    & skf18("2","1","1","4","1") = "3"
    & skf18("2","1","1","5","1") = "4"
    & skf18("2","1","2","1","1") = "1"
    & skf18("2","1","2","2","1") = "2"
    & skf18("2","1","2","3","1") = "2"
    & skf18("2","1","2","4","1") = "3"
    & skf18("2","1","2","5","1") = "4"
    & skf18("2","1","3","1","1") = "2"
    & skf18("2","1","3","2","1") = "2"
    & skf18("2","1","3","3","1") = "2"
    & skf18("2","1","3","4","1") = "3"
    & skf18("2","1","3","5","1") = "4"
    & skf18("2","1","4","1","1") = "3"
    & skf18("2","1","4","2","1") = "3"
    & skf18("2","1","4","3","1") = "3"
    & skf18("2","1","4","4","1") = "3"
    & skf18("2","1","4","5","1") = "4"
    & skf18("2","1","5","1","1") = "4"
    & skf18("2","1","5","2","1") = "4"
    & skf18("2","1","5","3","1") = "4"
    & skf18("2","1","5","4","1") = "4"
    & skf18("2","1","5","5","1") = "4"
    & skf18("2","2","1","1","1") = "2"
    & skf18("2","2","1","2","1") = "1"
    & skf18("2","2","1","3","1") = "2"
    & skf18("2","2","1","4","1") = "3"
    & skf18("2","2","1","5","1") = "4"
    & skf18("2","2","2","1","1") = "1"
    & skf18("2","2","2","2","1") = "1"
    & skf18("2","2","2","3","1") = "2"
    & skf18("2","2","2","4","1") = "3"
    & skf18("2","2","2","5","1") = "4"
    & skf18("2","2","3","1","1") = "2"
    & skf18("2","2","3","2","1") = "2"
    & skf18("2","2","3","3","1") = "2"
    & skf18("2","2","3","4","1") = "3"
    & skf18("2","2","3","5","1") = "4"
    & skf18("2","2","4","1","1") = "3"
    & skf18("2","2","4","2","1") = "3"
    & skf18("2","2","4","3","1") = "3"
    & skf18("2","2","4","4","1") = "3"
    & skf18("2","2","4","5","1") = "4"
    & skf18("2","2","5","1","1") = "4"
    & skf18("2","2","5","2","1") = "4"
    & skf18("2","2","5","3","1") = "4"
    & skf18("2","2","5","4","1") = "4"
    & skf18("2","2","5","5","1") = "4"
    & skf18("2","3","1","1","1") = "2"
    & skf18("2","3","1","2","1") = "2"
    & skf18("2","3","1","3","1") = "2"
    & skf18("2","3","1","4","1") = "3"
    & skf18("2","3","1","5","1") = "4"
    & skf18("2","3","2","1","1") = "2"
    & skf18("2","3","2","2","1") = "2"
    & skf18("2","3","2","3","1") = "2"
    & skf18("2","3","2","4","1") = "3"
    & skf18("2","3","2","5","1") = "4"
    & skf18("2","3","3","1","1") = "2"
    & skf18("2","3","3","2","1") = "2"
    & skf18("2","3","3","3","1") = "2"
    & skf18("2","3","3","4","1") = "3"
    & skf18("2","3","3","5","1") = "4"
    & skf18("2","3","4","1","1") = "3"
    & skf18("2","3","4","2","1") = "3"
    & skf18("2","3","4","3","1") = "3"
    & skf18("2","3","4","4","1") = "3"
    & skf18("2","3","4","5","1") = "4"
    & skf18("2","3","5","1","1") = "4"
    & skf18("2","3","5","2","1") = "4"
    & skf18("2","3","5","3","1") = "4"
    & skf18("2","3","5","4","1") = "4"
    & skf18("2","3","5","5","1") = "4"
    & skf18("2","4","1","1","1") = "3"
    & skf18("2","4","1","2","1") = "3"
    & skf18("2","4","1","3","1") = "3"
    & skf18("2","4","1","4","1") = "3"
    & skf18("2","4","1","5","1") = "4"
    & skf18("2","4","2","1","1") = "3"
    & skf18("2","4","2","2","1") = "3"
    & skf18("2","4","2","3","1") = "3"
    & skf18("2","4","2","4","1") = "3"
    & skf18("2","4","2","5","1") = "4"
    & skf18("2","4","3","1","1") = "3"
    & skf18("2","4","3","2","1") = "3"
    & skf18("2","4","3","3","1") = "3"
    & skf18("2","4","3","4","1") = "3"
    & skf18("2","4","3","5","1") = "4"
    & skf18("2","4","4","1","1") = "3"
    & skf18("2","4","4","2","1") = "3"
    & skf18("2","4","4","3","1") = "3"
    & skf18("2","4","4","4","1") = "3"
    & skf18("2","4","4","5","1") = "4"
    & skf18("2","4","5","1","1") = "4"
    & skf18("2","4","5","2","1") = "4"
    & skf18("2","4","5","3","1") = "4"
    & skf18("2","4","5","4","1") = "4"
    & skf18("2","4","5","5","1") = "4"
    & skf18("2","5","1","1","1") = "4"
    & skf18("2","5","1","2","1") = "4"
    & skf18("2","5","1","3","1") = "4"
    & skf18("2","5","1","4","1") = "4"
    & skf18("2","5","1","5","1") = "4"
    & skf18("2","5","2","1","1") = "4"
    & skf18("2","5","2","2","1") = "4"
    & skf18("2","5","2","3","1") = "4"
    & skf18("2","5","2","4","1") = "4"
    & skf18("2","5","2","5","1") = "4"
    & skf18("2","5","3","1","1") = "4"
    & skf18("2","5","3","2","1") = "4"
    & skf18("2","5","3","3","1") = "4"
    & skf18("2","5","3","4","1") = "4"
    & skf18("2","5","3","5","1") = "4"
    & skf18("2","5","4","1","1") = "4"
    & skf18("2","5","4","2","1") = "4"
    & skf18("2","5","4","3","1") = "4"
    & skf18("2","5","4","4","1") = "4"
    & skf18("2","5","4","5","1") = "4"
    & skf18("2","5","5","1","1") = "4"
    & skf18("2","5","5","2","1") = "4"
    & skf18("2","5","5","3","1") = "4"
    & skf18("2","5","5","4","1") = "4"
    & skf18("2","5","5","5","1") = "4"
    & skf18("3","1","1","1","1") = "1"
    & skf18("3","1","1","2","1") = "1"
    & skf18("3","1","1","3","1") = "2"
    & skf18("3","1","1","4","1") = "3"
    & skf18("3","1","1","5","1") = "4"
    & skf18("3","1","2","1","1") = "1"
    & skf18("3","1","2","2","1") = "1"
    & skf18("3","1","2","3","1") = "1"
    & skf18("3","1","2","4","1") = "3"
    & skf18("3","1","2","5","1") = "4"
    & skf18("3","1","3","1","1") = "2"
    & skf18("3","1","3","2","1") = "1"
    & skf18("3","1","3","3","1") = "2"
    & skf18("3","1","3","4","1") = "3"
    & skf18("3","1","3","5","1") = "4"
    & skf18("3","1","4","1","1") = "3"
    & skf18("3","1","4","2","1") = "3"
    & skf18("3","1","4","3","1") = "3"
    & skf18("3","1","4","4","1") = "3"
    & skf18("3","1","4","5","1") = "4"
    & skf18("3","1","5","1","1") = "4"
    & skf18("3","1","5","2","1") = "4"
    & skf18("3","1","5","3","1") = "4"
    & skf18("3","1","5","4","1") = "4"
    & skf18("3","1","5","5","1") = "4"
    & skf18("3","2","1","1","1") = "2"
    & skf18("3","2","1","2","1") = "2"
    & skf18("3","2","1","3","1") = "2"
    & skf18("3","2","1","4","1") = "3"
    & skf18("3","2","1","5","1") = "4"
    & skf18("3","2","2","1","1") = "2"
    & skf18("3","2","2","2","1") = "2"
    & skf18("3","2","2","3","1") = "2"
    & skf18("3","2","2","4","1") = "3"
    & skf18("3","2","2","5","1") = "4"
    & skf18("3","2","3","1","1") = "2"
    & skf18("3","2","3","2","1") = "2"
    & skf18("3","2","3","3","1") = "2"
    & skf18("3","2","3","4","1") = "3"
    & skf18("3","2","3","5","1") = "4"
    & skf18("3","2","4","1","1") = "3"
    & skf18("3","2","4","2","1") = "3"
    & skf18("3","2","4","3","1") = "3"
    & skf18("3","2","4","4","1") = "3"
    & skf18("3","2","4","5","1") = "4"
    & skf18("3","2","5","1","1") = "4"
    & skf18("3","2","5","2","1") = "4"
    & skf18("3","2","5","3","1") = "4"
    & skf18("3","2","5","4","1") = "4"
    & skf18("3","2","5","5","1") = "3"
    & skf18("3","3","1","1","1") = "2"
    & skf18("3","3","1","2","1") = "2"
    & skf18("3","3","1","3","1") = "2"
    & skf18("3","3","1","4","1") = "3"
    & skf18("3","3","1","5","1") = "4"
    & skf18("3","3","2","1","1") = "2"
    & skf18("3","3","2","2","1") = "5"
    & skf18("3","3","2","3","1") = "5"
    & skf18("3","3","2","4","1") = "5"
    & skf18("3","3","2","5","1") = "5"
    & skf18("3","3","3","1","1") = "5"
    & skf18("3","3","3","2","1") = "5"
    & skf18("3","3","3","3","1") = "5"
    & skf18("3","3","3","4","1") = "5"
    & skf18("3","3","3","5","1") = "5"
    & skf18("3","3","4","1","1") = "5"
    & skf18("3","3","4","2","1") = "5"
    & skf18("3","3","4","3","1") = "5"
    & skf18("3","3","4","4","1") = "5"
    & skf18("3","3","4","5","1") = "5"
    & skf18("3","3","5","1","1") = "4"
    & skf18("3","3","5","2","1") = "4"
    & skf18("3","3","5","3","1") = "4"
    & skf18("3","3","5","4","1") = "4"
    & skf18("3","3","5","5","1") = "4"
    & skf18("3","4","1","1","1") = "5"
    & skf18("3","4","1","2","1") = "3"
    & skf18("3","4","1","3","1") = "5"
    & skf18("3","4","1","4","1") = "5"
    & skf18("3","4","1","5","1") = "4"
    & skf18("3","4","2","1","1") = "5"
    & skf18("3","4","2","2","1") = "3"
    & skf18("3","4","2","3","1") = "5"
    & skf18("3","4","2","4","1") = "5"
    & skf18("3","4","2","5","1") = "4"
    & skf18("3","4","3","1","1") = "5"
    & skf18("3","4","3","2","1") = "3"
    & skf18("3","4","3","3","1") = "5"
    & skf18("3","4","3","4","1") = "5"
    & skf18("3","4","3","5","1") = "4"
    & skf18("3","4","4","1","1") = "5"
    & skf18("3","4","4","2","1") = "5"
    & skf18("3","4","4","3","1") = "5"
    & skf18("3","4","4","4","1") = "5"
    & skf18("3","4","4","5","1") = "5"
    & skf18("3","4","5","1","1") = "4"
    & skf18("3","4","5","2","1") = "4"
    & skf18("3","4","5","3","1") = "4"
    & skf18("3","4","5","4","1") = "4"
    & skf18("3","4","5","5","1") = "4"
    & skf18("3","5","1","1","1") = "4"
    & skf18("3","5","1","2","1") = "4"
    & skf18("3","5","1","3","1") = "4"
    & skf18("3","5","1","4","1") = "4"
    & skf18("3","5","1","5","1") = "4"
    & skf18("3","5","2","1","1") = "4"
    & skf18("3","5","2","2","1") = "4"
    & skf18("3","5","2","3","1") = "4"
    & skf18("3","5","2","4","1") = "4"
    & skf18("3","5","2","5","1") = "4"
    & skf18("3","5","3","1","1") = "4"
    & skf18("3","5","3","2","1") = "4"
    & skf18("3","5","3","3","1") = "4"
    & skf18("3","5","3","4","1") = "4"
    & skf18("3","5","3","5","1") = "4"
    & skf18("3","5","4","1","1") = "4"
    & skf18("3","5","4","2","1") = "4"
    & skf18("3","5","4","3","1") = "4"
    & skf18("3","5","4","4","1") = "4"
    & skf18("3","5","4","5","1") = "4"
    & skf18("3","5","5","1","1") = "4"
    & skf18("3","5","5","2","1") = "4"
    & skf18("3","5","5","3","1") = "4"
    & skf18("3","5","5","4","1") = "4"
    & skf18("3","5","5","5","1") = "4"
    & skf18("4","1","1","1","1") = "5"
    & skf18("4","1","1","2","1") = "5"
    & skf18("4","1","1","3","1") = "5"
    & skf18("4","1","1","4","1") = "5"
    & skf18("4","1","1","5","1") = "5"
    & skf18("4","1","2","1","1") = "5"
    & skf18("4","1","2","2","1") = "2"
    & skf18("4","1","2","3","1") = "3"
    & skf18("4","1","2","4","1") = "5"
    & skf18("4","1","2","5","1") = "4"
    & skf18("4","1","3","1","1") = "5"
    & skf18("4","1","3","2","1") = "3"
    & skf18("4","1","3","3","1") = "3"
    & skf18("4","1","3","4","1") = "5"
    & skf18("4","1","3","5","1") = "4"
    & skf18("4","1","4","1","1") = "5"
    & skf18("4","1","4","2","1") = "3"
    & skf18("4","1","4","3","1") = "3"
    & skf18("4","1","4","4","1") = "5"
    & skf18("4","1","4","5","1") = "4"
    & skf18("4","1","5","1","1") = "4"
    & skf18("4","1","5","2","1") = "4"
    & skf18("4","1","5","3","1") = "4"
    & skf18("4","1","5","4","1") = "4"
    & skf18("4","1","5","5","1") = "4"
    & skf18("4","2","1","1","1") = "5"
    & skf18("4","2","1","2","1") = "5"
    & skf18("4","2","1","3","1") = "3"
    & skf18("4","2","1","4","1") = "5"
    & skf18("4","2","1","5","1") = "4"
    & skf18("4","2","2","1","1") = "5"
    & skf18("4","2","2","2","1") = "5"
    & skf18("4","2","2","3","1") = "5"
    & skf18("4","2","2","4","1") = "5"
    & skf18("4","2","2","5","1") = "5"
    & skf18("4","2","3","1","1") = "5"
    & skf18("4","2","3","2","1") = "5"
    & skf18("4","2","3","3","1") = "3"
    & skf18("4","2","3","4","1") = "5"
    & skf18("4","2","3","5","1") = "4"
    & skf18("4","2","4","1","1") = "5"
    & skf18("4","2","4","2","1") = "5"
    & skf18("4","2","4","3","1") = "3"
    & skf18("4","2","4","4","1") = "5"
    & skf18("4","2","4","5","1") = "4"
    & skf18("4","2","5","1","1") = "4"
    & skf18("4","2","5","2","1") = "4"
    & skf18("4","2","5","3","1") = "4"
    & skf18("4","2","5","4","1") = "4"
    & skf18("4","2","5","5","1") = "4"
    & skf18("4","3","1","1","1") = "5"
    & skf18("4","3","1","2","1") = "3"
    & skf18("4","3","1","3","1") = "5"
    & skf18("4","3","1","4","1") = "5"
    & skf18("4","3","1","5","1") = "4"
    & skf18("4","3","2","1","1") = "5"
    & skf18("4","3","2","2","1") = "3"
    & skf18("4","3","2","3","1") = "5"
    & skf18("4","3","2","4","1") = "5"
    & skf18("4","3","2","5","1") = "4"
    & skf18("4","3","3","1","1") = "5"
    & skf18("4","3","3","2","1") = "5"
    & skf18("4","3","3","3","1") = "5"
    & skf18("4","3","3","4","1") = "5"
    & skf18("4","3","3","5","1") = "5"
    & skf18("4","3","4","1","1") = "5"
    & skf18("4","3","4","2","1") = "3"
    & skf18("4","3","4","3","1") = "5"
    & skf18("4","3","4","4","1") = "5"
    & skf18("4","3","4","5","1") = "4"
    & skf18("4","3","5","1","1") = "4"
    & skf18("4","3","5","2","1") = "4"
    & skf18("4","3","5","3","1") = "4"
    & skf18("4","3","5","4","1") = "4"
    & skf18("4","3","5","5","1") = "4"
    & skf18("4","4","1","1","1") = "5"
    & skf18("4","4","1","2","1") = "5"
    & skf18("4","4","1","3","1") = "5"
    & skf18("4","4","1","4","1") = "5"
    & skf18("4","4","1","5","1") = "5"
    & skf18("4","4","2","1","1") = "5"
    & skf18("4","4","2","2","1") = "5"
    & skf18("4","4","2","3","1") = "5"
    & skf18("4","4","2","4","1") = "5"
    & skf18("4","4","2","5","1") = "5"
    & skf18("4","4","3","1","1") = "5"
    & skf18("4","4","3","2","1") = "5"
    & skf18("4","4","3","3","1") = "5"
    & skf18("4","4","3","4","1") = "5"
    & skf18("4","4","3","5","1") = "5"
    & skf18("4","4","4","1","1") = "5"
    & skf18("4","4","4","2","1") = "5"
    & skf18("4","4","4","3","1") = "5"
    & skf18("4","4","4","4","1") = "5"
    & skf18("4","4","4","5","1") = "5"
    & skf18("4","4","5","1","1") = "4"
    & skf18("4","4","5","2","1") = "4"
    & skf18("4","4","5","3","1") = "4"
    & skf18("4","4","5","4","1") = "4"
    & skf18("4","4","5","5","1") = "4"
    & skf18("4","5","1","1","1") = "4"
    & skf18("4","5","1","2","1") = "4"
    & skf18("4","5","1","3","1") = "4"
    & skf18("4","5","1","4","1") = "4"
    & skf18("4","5","1","5","1") = "4"
    & skf18("4","5","2","1","1") = "4"
    & skf18("4","5","2","2","1") = "4"
    & skf18("4","5","2","3","1") = "4"
    & skf18("4","5","2","4","1") = "4"
    & skf18("4","5","2","5","1") = "4"
    & skf18("4","5","3","1","1") = "4"
    & skf18("4","5","3","2","1") = "4"
    & skf18("4","5","3","3","1") = "4"
    & skf18("4","5","3","4","1") = "4"
    & skf18("4","5","3","5","1") = "4"
    & skf18("4","5","4","1","1") = "4"
    & skf18("4","5","4","2","1") = "4"
    & skf18("4","5","4","3","1") = "3"
    & skf18("4","5","4","4","1") = "3"
    & skf18("4","5","4","5","1") = "4"
    & skf18("4","5","5","1","1") = "4"
    & skf18("4","5","5","2","1") = "4"
    & skf18("4","5","5","3","1") = "4"
    & skf18("4","5","5","4","1") = "4"
    & skf18("4","5","5","5","1") = "4"
    & skf18("5","1","1","1","1") = "4"
    & skf18("5","1","1","2","1") = "4"
    & skf18("5","1","1","3","1") = "4"
    & skf18("5","1","1","4","1") = "4"
    & skf18("5","1","1","5","1") = "4"
    & skf18("5","1","2","1","1") = "4"
    & skf18("5","1","2","2","1") = "4"
    & skf18("5","1","2","3","1") = "4"
    & skf18("5","1","2","4","1") = "4"
    & skf18("5","1","2","5","1") = "4"
    & skf18("5","1","3","1","1") = "4"
    & skf18("5","1","3","2","1") = "4"
    & skf18("5","1","3","3","1") = "4"
    & skf18("5","1","3","4","1") = "4"
    & skf18("5","1","3","5","1") = "4"
    & skf18("5","1","4","1","1") = "4"
    & skf18("5","1","4","2","1") = "4"
    & skf18("5","1","4","3","1") = "4"
    & skf18("5","1","4","4","1") = "4"
    & skf18("5","1","4","5","1") = "4"
    & skf18("5","1","5","1","1") = "4"
    & skf18("5","1","5","2","1") = "4"
    & skf18("5","1","5","3","1") = "4"
    & skf18("5","1","5","4","1") = "4"
    & skf18("5","1","5","5","1") = "4"
    & skf18("5","2","1","1","1") = "4"
    & skf18("5","2","1","2","1") = "4"
    & skf18("5","2","1","3","1") = "4"
    & skf18("5","2","1","4","1") = "4"
    & skf18("5","2","1","5","1") = "4"
    & skf18("5","2","2","1","1") = "4"
    & skf18("5","2","2","2","1") = "4"
    & skf18("5","2","2","3","1") = "4"
    & skf18("5","2","2","4","1") = "4"
    & skf18("5","2","2","5","1") = "4"
    & skf18("5","2","3","1","1") = "4"
    & skf18("5","2","3","2","1") = "4"
    & skf18("5","2","3","3","1") = "4"
    & skf18("5","2","3","4","1") = "4"
    & skf18("5","2","3","5","1") = "4"
    & skf18("5","2","4","1","1") = "4"
    & skf18("5","2","4","2","1") = "4"
    & skf18("5","2","4","3","1") = "4"
    & skf18("5","2","4","4","1") = "4"
    & skf18("5","2","4","5","1") = "4"
    & skf18("5","2","5","1","1") = "4"
    & skf18("5","2","5","2","1") = "4"
    & skf18("5","2","5","3","1") = "4"
    & skf18("5","2","5","4","1") = "4"
    & skf18("5","2","5","5","1") = "4"
    & skf18("5","3","1","1","1") = "4"
    & skf18("5","3","1","2","1") = "4"
    & skf18("5","3","1","3","1") = "4"
    & skf18("5","3","1","4","1") = "4"
    & skf18("5","3","1","5","1") = "4"
    & skf18("5","3","2","1","1") = "4"
    & skf18("5","3","2","2","1") = "4"
    & skf18("5","3","2","3","1") = "4"
    & skf18("5","3","2","4","1") = "4"
    & skf18("5","3","2","5","1") = "4"
    & skf18("5","3","3","1","1") = "4"
    & skf18("5","3","3","2","1") = "4"
    & skf18("5","3","3","3","1") = "4"
    & skf18("5","3","3","4","1") = "4"
    & skf18("5","3","3","5","1") = "4"
    & skf18("5","3","4","1","1") = "4"
    & skf18("5","3","4","2","1") = "4"
    & skf18("5","3","4","3","1") = "4"
    & skf18("5","3","4","4","1") = "4"
    & skf18("5","3","4","5","1") = "4"
    & skf18("5","3","5","1","1") = "4"
    & skf18("5","3","5","2","1") = "4"
    & skf18("5","3","5","3","1") = "4"
    & skf18("5","3","5","4","1") = "4"
    & skf18("5","3","5","5","1") = "4"
    & skf18("5","4","1","1","1") = "4"
    & skf18("5","4","1","2","1") = "4"
    & skf18("5","4","1","3","1") = "4"
    & skf18("5","4","1","4","1") = "4"
    & skf18("5","4","1","5","1") = "4"
    & skf18("5","4","2","1","1") = "4"
    & skf18("5","4","2","2","1") = "4"
    & skf18("5","4","2","3","1") = "4"
    & skf18("5","4","2","4","1") = "4"
    & skf18("5","4","2","5","1") = "4"
    & skf18("5","4","3","1","1") = "4"
    & skf18("5","4","3","2","1") = "4"
    & skf18("5","4","3","3","1") = "4"
    & skf18("5","4","3","4","1") = "4"
    & skf18("5","4","3","5","1") = "4"
    & skf18("5","4","4","1","1") = "4"
    & skf18("5","4","4","2","1") = "4"
    & skf18("5","4","4","3","1") = "4"
    & skf18("5","4","4","4","1") = "4"
    & skf18("5","4","4","5","1") = "4"
    & skf18("5","4","5","1","1") = "4"
    & skf18("5","4","5","2","1") = "4"
    & skf18("5","4","5","3","1") = "4"
    & skf18("5","4","5","4","1") = "4"
    & skf18("5","4","5","5","1") = "4"
    & skf18("5","5","1","1","1") = "4"
    & skf18("5","5","1","2","1") = "4"
    & skf18("5","5","1","3","1") = "4"
    & skf18("5","5","1","4","1") = "4"
    & skf18("5","5","1","5","1") = "4"
    & skf18("5","5","2","1","1") = "4"
    & skf18("5","5","2","2","1") = "4"
    & skf18("5","5","2","3","1") = "4"
    & skf18("5","5","2","4","1") = "4"
    & skf18("5","5","2","5","1") = "4"
    & skf18("5","5","3","1","1") = "4"
    & skf18("5","5","3","2","1") = "4"
    & skf18("5","5","3","3","1") = "4"
    & skf18("5","5","3","4","1") = "4"
    & skf18("5","5","3","5","1") = "4"
    & skf18("5","5","4","1","1") = "4"
    & skf18("5","5","4","2","1") = "4"
    & skf18("5","5","4","3","1") = "4"
    & skf18("5","5","4","4","1") = "4"
    & skf18("5","5","4","5","1") = "4"
    & skf18("5","5","5","1","1") = "4"
    & skf18("5","5","5","2","1") = "4"
    & skf18("5","5","5","3","1") = "4"
    & skf18("5","5","5","4","1") = "4"
    & skf18("5","5","5","5","1") = "4"
    & ! [X1,X2,X3,X4] : skf18(X1,X2,X3,X4,"2") = skf18(X1,X2,X3,X4,"1")
    & ! [X1,X2,X3,X4] : skf18(X1,X2,X3,X4,"3") = skf18(X1,X2,X3,X4,"2")
    & ! [X1,X2,X3,X4] : skf18(X1,X2,X3,X4,"4") = skf18(X1,X2,X3,X4,"3")
    & ! [X1,X2,X3,X4] : skf18(X1,X2,X3,X4,"5") = skf18(X1,X2,X3,X4,"4") ) ).

fof(skf9,fi_functors,
    ( skf9("1") = "5"
    & skf9("2") = "5"
    & skf9("3") = "5"
    & skf9("4") = "5"
    & skf9("5") = "5" ) ).

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

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

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

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

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

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

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

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

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.08/0.13  % Problem  : NLP041-1 : TPTP v8.1.0. Released v2.4.0.
% 0.08/0.13  % Command  : paradox --no-progress --time %d --tstp --model %s
% 0.13/0.35  % Computer : n020.cluster.edu
% 0.13/0.35  % Model    : x86_64 x86_64
% 0.13/0.35  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.35  % Memory   : 8042.1875MB
% 0.13/0.35  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.13/0.35  % CPULimit : 300
% 0.13/0.35  % WCLimit  : 600
% 0.13/0.35  % DateTime : Thu Jun 30 17:59:30 EDT 2022
% 0.13/0.35  % CPUTime  : 
% 0.13/0.35  Paradox, version 4.0, 2010-06-29.
% 0.13/0.35  +++ PROBLEM: /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.13/0.35  Reading '/export/starexec/sandbox/benchmark/theBenchmark.p' ... OK
% 0.13/0.37  +++ SOLVING: /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.21/0.41  +++ BEGIN MODEL
% 0.21/0.41  SZS output start FiniteModel for /export/starexec/sandbox/benchmark/theBenchmark.p
% See solution above
% 0.21/0.43  +++ END MODEL
% 0.21/0.43  +++ RESULT: Satisfiable
% 0.21/0.43  SZS status Satisfiable for /export/starexec/sandbox/benchmark/theBenchmark.p
%------------------------------------------------------------------------------