%------------------------------------------------------------------------------
% File     : Paradox---4.0
% Problem  : LCL168-1 : TPTP v8.1.0. Released v1.0.0.
% Transfm  : none
% Format   : tptp:short
% Command  : paradox --no-progress --time %d --tstp --model %s

% Computer : n024.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 13:29:47 EDT 2022

% Result   : Satisfiable 0.20s 0.46s
% Output   : FiniteModel 0.20s
% 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(b,fi_functors,
    b = "2" ).

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

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

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

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.10/0.12  % Problem  : LCL168-1 : TPTP v8.1.0. Released v1.0.0.
% 0.10/0.13  % Command  : paradox --no-progress --time %d --tstp --model %s
% 0.13/0.34  % Computer : n024.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 : Sun Jul  3 13:57:15 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
% 0.20/0.46  +++ BEGIN MODEL
% 0.20/0.46  SZS output start FiniteModel for /export/starexec/sandbox/benchmark/theBenchmark.p
% See solution above
% 0.20/0.46  +++ END MODEL
% 0.20/0.46  +++ RESULT: Satisfiable
% 0.20/0.46  SZS status Satisfiable for /export/starexec/sandbox/benchmark/theBenchmark.p
%------------------------------------------------------------------------------