%------------------------------------------------------------------------------
% File     : Paradox---4.0
% Problem  : KLE172+1 : TPTP v8.1.0. Released v5.5.0.
% 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 02:20:34 EDT 2022

% Result   : CounterSatisfiable 0.19s 0.41s
% 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(a,fi_functors,
    a = "1" ).

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

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

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

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

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

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

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

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

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12  % Problem  : KLE172+1 : TPTP v8.1.0. Released v5.5.0.
% 0.11/0.12  % Command  : paradox --no-progress --time %d --tstp --model %s
% 0.12/0.33  % Computer : n019.cluster.edu
% 0.12/0.33  % Model    : x86_64 x86_64
% 0.12/0.33  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33  % Memory   : 8042.1875MB
% 0.12/0.33  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33  % CPULimit : 300
% 0.12/0.33  % WCLimit  : 600
% 0.12/0.33  % DateTime : Thu Jun 16 09:34:54 EDT 2022
% 0.12/0.33  % CPUTime  : 
% 0.12/0.33  Paradox, version 4.0, 2010-06-29.
% 0.12/0.33  +++ PROBLEM: /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.12/0.34  Reading '/export/starexec/sandbox2/benchmark/theBenchmark.p' ... OK
% 0.12/0.34  Reading 'Axioms/KLE002+0.ax' ... ('/export/starexec/sandbox2/benchmark/Axioms/KLE002+0.ax') OK
% 0.12/0.34  +++ SOLVING: /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.19/0.41  +++ BEGIN MODEL
% 0.19/0.41  SZS output start FiniteModel for /export/starexec/sandbox2/benchmark/theBenchmark.p
% See solution above
% 0.19/0.41  +++ END MODEL
% 0.19/0.41  +++ RESULT: CounterSatisfiable
% 0.19/0.41  SZS status CounterSatisfiable for /export/starexec/sandbox2/benchmark/theBenchmark.p
%------------------------------------------------------------------------------