TSTP Solution File: KRS034+1 by Paradox---4.0

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Paradox---4.0
% Problem  : KRS034+1 : TPTP v8.1.0. Released v3.1.0.
% 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 : Sun Jul 17 03:23:24 EDT 2022

% Result   : Satisfiable 0.15s 0.38s
% Output   : FiniteModel 0.15s
% 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(cSatisfiable,fi_predicates,
    ( ( cSatisfiable("1")
    <=> $true )
    & ( cSatisfiable("2")
    <=> cSatisfiable("1") )
    & ( cSatisfiable("3")
    <=> cSatisfiable("2") )
    & ( cSatisfiable("4")
    <=> cSatisfiable("3") )
    & ( cSatisfiable("5")
    <=> cSatisfiable("4") ) ) ).

fof(cowlNothing,fi_predicates,
    ! [X1] :
      ( cowlNothing(X1)
    <=> $false ) ).

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

fof(cp,fi_predicates,
    ( ( cp("1")
    <=> $true )
    & ( cp("2")
    <=> $true )
    & ( cp("3")
    <=> $true )
    & ( cp("4")
    <=> $true )
    & ( cp("5")
    <=> $true ) ) ).

fof(cp1,fi_predicates,
    ( ( cp1("1")
    <=> $false )
    & ( cp1("2")
    <=> $false )
    & ( cp1("3")
    <=> $true )
    & ( cp1("4")
    <=> $false )
    & ( cp1("5")
    <=> $false ) ) ).

fof(cp2,fi_predicates,
    ( ( cp2("1")
    <=> $false )
    & ( cp2("2")
    <=> $true )
    & ( cp2("3")
    <=> $false )
    & ( cp2("4")
    <=> $false )
    & ( cp2("5")
    <=> $false ) ) ).

fof(cp3,fi_predicates,
    ( ( cp3("1")
    <=> $false )
    & ( cp3("2")
    <=> $false )
    & ( cp3("3")
    <=> $false )
    & ( cp3("4")
    <=> $true )
    & ( cp3("5")
    <=> $false ) ) ).

fof(cp4,fi_predicates,
    ( ( cp4("1")
    <=> $false )
    & ( cp4("2")
    <=> $false )
    & ( cp4("3")
    <=> $false )
    & ( cp4("4")
    <=> $false )
    & ( cp4("5")
    <=> $true ) ) ).

fof(cp5,fi_predicates,
    ( ( cp5("1")
    <=> $true )
    & ( cp5("2")
    <=> $false )
    & ( cp5("3")
    <=> $false )
    & ( cp5("4")
    <=> $false )
    & ( cp5("5")
    <=> $false ) ) ).

fof(i2003_11_14_17_15_408,fi_functors,
    i2003_11_14_17_15_408 = "1" ).

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

fof(sK31_axiom_2_Y,fi_functors,
    ( sK31_axiom_2_Y("1") = "3"
    & sK31_axiom_2_Y("2") = sK31_axiom_2_Y("1")
    & sK31_axiom_2_Y("3") = sK31_axiom_2_Y("2")
    & sK31_axiom_2_Y("4") = sK31_axiom_2_Y("3")
    & sK31_axiom_2_Y("5") = sK31_axiom_2_Y("4") ) ).

fof(sK32_axiom_2_Y,fi_functors,
    ( sK32_axiom_2_Y("1") = "2"
    & sK32_axiom_2_Y("2") = sK32_axiom_2_Y("1")
    & sK32_axiom_2_Y("3") = sK32_axiom_2_Y("2")
    & sK32_axiom_2_Y("4") = sK32_axiom_2_Y("3")
    & sK32_axiom_2_Y("5") = sK32_axiom_2_Y("4") ) ).

fof(sK33_axiom_2_Y,fi_functors,
    ( sK33_axiom_2_Y("1") = "4"
    & sK33_axiom_2_Y("2") = sK33_axiom_2_Y("1")
    & sK33_axiom_2_Y("3") = sK33_axiom_2_Y("2")
    & sK33_axiom_2_Y("4") = sK33_axiom_2_Y("3")
    & sK33_axiom_2_Y("5") = sK33_axiom_2_Y("4") ) ).

fof(sK34_axiom_2_Y,fi_functors,
    ( sK34_axiom_2_Y("1") = "5"
    & sK34_axiom_2_Y("2") = sK34_axiom_2_Y("1")
    & sK34_axiom_2_Y("3") = sK34_axiom_2_Y("2")
    & sK34_axiom_2_Y("4") = sK34_axiom_2_Y("3")
    & sK34_axiom_2_Y("5") = sK34_axiom_2_Y("4") ) ).

fof(sK35_axiom_2_Y,fi_functors,
    ( sK35_axiom_2_Y("1") = "1"
    & sK35_axiom_2_Y("2") = sK35_axiom_2_Y("1")
    & sK35_axiom_2_Y("3") = sK35_axiom_2_Y("2")
    & sK35_axiom_2_Y("4") = sK35_axiom_2_Y("3")
    & sK35_axiom_2_Y("5") = sK35_axiom_2_Y("4") ) ).

fof(sK36_axiom_2_Y,fi_functors,
    ( sK36_axiom_2_Y("1") = "3"
    & sK36_axiom_2_Y("2") = sK36_axiom_2_Y("1")
    & sK36_axiom_2_Y("3") = sK36_axiom_2_Y("2")
    & sK36_axiom_2_Y("4") = sK36_axiom_2_Y("3")
    & sK36_axiom_2_Y("5") = sK36_axiom_2_Y("4") ) ).

fof(sK37_axiom_2_Y,fi_functors,
    ( sK37_axiom_2_Y("1") = "2"
    & sK37_axiom_2_Y("2") = sK37_axiom_2_Y("1")
    & sK37_axiom_2_Y("3") = sK37_axiom_2_Y("2")
    & sK37_axiom_2_Y("4") = sK37_axiom_2_Y("3")
    & sK37_axiom_2_Y("5") = sK37_axiom_2_Y("4") ) ).

fof(sK38_axiom_2_Y,fi_functors,
    ( sK38_axiom_2_Y("1") = "4"
    & sK38_axiom_2_Y("2") = sK38_axiom_2_Y("1")
    & sK38_axiom_2_Y("3") = sK38_axiom_2_Y("2")
    & sK38_axiom_2_Y("4") = sK38_axiom_2_Y("3")
    & sK38_axiom_2_Y("5") = sK38_axiom_2_Y("4") ) ).

fof(sK39_axiom_2_Y,fi_functors,
    ( sK39_axiom_2_Y("1") = "5"
    & sK39_axiom_2_Y("2") = sK39_axiom_2_Y("1")
    & sK39_axiom_2_Y("3") = sK39_axiom_2_Y("2")
    & sK39_axiom_2_Y("4") = sK39_axiom_2_Y("3")
    & sK39_axiom_2_Y("5") = sK39_axiom_2_Y("4") ) ).

fof(sK40_axiom_2_Y,fi_functors,
    ( sK40_axiom_2_Y("1") = "1"
    & sK40_axiom_2_Y("2") = sK40_axiom_2_Y("1")
    & sK40_axiom_2_Y("3") = sK40_axiom_2_Y("2")
    & sK40_axiom_2_Y("4") = sK40_axiom_2_Y("3")
    & sK40_axiom_2_Y("5") = sK40_axiom_2_Y("4") ) ).

fof(sK41_axiom_2_Y1,fi_functors,
    ( sK41_axiom_2_Y1("1") = "1"
    & sK41_axiom_2_Y1("2") = sK41_axiom_2_Y1("1")
    & sK41_axiom_2_Y1("3") = sK41_axiom_2_Y1("2")
    & sK41_axiom_2_Y1("4") = sK41_axiom_2_Y1("3")
    & sK41_axiom_2_Y1("5") = sK41_axiom_2_Y1("4") ) ).

fof(sK42_axiom_2_Y0,fi_functors,
    ( sK42_axiom_2_Y0("1") = "1"
    & sK42_axiom_2_Y0("2") = sK42_axiom_2_Y0("1")
    & sK42_axiom_2_Y0("3") = sK42_axiom_2_Y0("2")
    & sK42_axiom_2_Y0("4") = sK42_axiom_2_Y0("3")
    & sK42_axiom_2_Y0("5") = sK42_axiom_2_Y0("4") ) ).

fof(sK43_axiom_2_Y2,fi_functors,
    ( sK43_axiom_2_Y2("1") = "1"
    & sK43_axiom_2_Y2("2") = sK43_axiom_2_Y2("1")
    & sK43_axiom_2_Y2("3") = sK43_axiom_2_Y2("2")
    & sK43_axiom_2_Y2("4") = sK43_axiom_2_Y2("3")
    & sK43_axiom_2_Y2("5") = sK43_axiom_2_Y2("4") ) ).

fof(sK44_axiom_2_Y3,fi_functors,
    ( sK44_axiom_2_Y3("1") = "1"
    & sK44_axiom_2_Y3("2") = sK44_axiom_2_Y3("1")
    & sK44_axiom_2_Y3("3") = sK44_axiom_2_Y3("2")
    & sK44_axiom_2_Y3("4") = sK44_axiom_2_Y3("3")
    & sK44_axiom_2_Y3("5") = sK44_axiom_2_Y3("4") ) ).

fof(sK45_axiom_2_Y4,fi_functors,
    ( sK45_axiom_2_Y4("1") = "1"
    & sK45_axiom_2_Y4("2") = sK45_axiom_2_Y4("1")
    & sK45_axiom_2_Y4("3") = sK45_axiom_2_Y4("2")
    & sK45_axiom_2_Y4("4") = sK45_axiom_2_Y4("3")
    & sK45_axiom_2_Y4("5") = sK45_axiom_2_Y4("4") ) ).

fof(sK46_axiom_2_Y5,fi_functors,
    ( sK46_axiom_2_Y5("1") = "1"
    & sK46_axiom_2_Y5("2") = sK46_axiom_2_Y5("1")
    & sK46_axiom_2_Y5("3") = sK46_axiom_2_Y5("2")
    & sK46_axiom_2_Y5("4") = sK46_axiom_2_Y5("3")
    & sK46_axiom_2_Y5("5") = sK46_axiom_2_Y5("4") ) ).

fof(xsd_integer,fi_predicates,
    ( ( xsd_integer("1")
    <=> $false )
    & ( xsd_integer("2")
    <=> xsd_integer("1") )
    & ( xsd_integer("3")
    <=> xsd_integer("2") )
    & ( xsd_integer("4")
    <=> xsd_integer("3") )
    & ( xsd_integer("5")
    <=> xsd_integer("4") ) ) ).

fof(xsd_string,fi_predicates,
    ( ( xsd_string("1")
    <=> $true )
    & ( xsd_string("2")
    <=> xsd_string("1") )
    & ( xsd_string("3")
    <=> xsd_string("2") )
    & ( xsd_string("4")
    <=> xsd_string("3") )
    & ( xsd_string("5")
    <=> xsd_string("4") ) ) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.09  % Problem  : KRS034+1 : TPTP v8.1.0. Released v3.1.0.
% 0.09/0.09  % Command  : paradox --no-progress --time %d --tstp --model %s
% 0.09/0.29  % Computer : n019.cluster.edu
% 0.09/0.29  % Model    : x86_64 x86_64
% 0.09/0.29  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.29  % Memory   : 8042.1875MB
% 0.09/0.29  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.09/0.29  % CPULimit : 300
% 0.09/0.29  % WCLimit  : 600
% 0.09/0.29  % DateTime : Tue Jun  7 15:48:25 EDT 2022
% 0.09/0.29  % CPUTime  : 
% 0.09/0.30  Paradox, version 4.0, 2010-06-29.
% 0.09/0.30  +++ PROBLEM: /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.09/0.30  Reading '/export/starexec/sandbox/benchmark/theBenchmark.p' ... OK
% 0.09/0.31  +++ SOLVING: /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.15/0.37  +++ BEGIN MODEL
% 0.15/0.37  SZS output start FiniteModel for /export/starexec/sandbox/benchmark/theBenchmark.p
% See solution above
% 0.15/0.37  +++ END MODEL
% 0.15/0.38  +++ RESULT: Satisfiable
% 0.15/0.38  SZS status Satisfiable for /export/starexec/sandbox/benchmark/theBenchmark.p
%------------------------------------------------------------------------------