%------------------------------------------------------------------------------
% File     : Paradox---4.0
% Problem  : SET781-1 : TPTP v8.1.0. Released v2.5.0.
% Transfm  : none
% Format   : tptp:short
% Command  : paradox --no-progress --time %d --tstp --model %s

% Computer : n006.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 : Tue Jul 19 04:15:49 EDT 2022

% Result   : Satisfiable 0.14s 0.36s
% Output   : FiniteModel 0.14s
% Verified : 
% SZS Type : FiniteModel
%            Domain size           :    2

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

fof(complement,fi_functors,
    ( complement("1") = "2"
    & complement("2") = "1" ) ).

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

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

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

fof(intersection,fi_functors,
    ( intersection("1","1") = "1"
    & intersection("1","2") = "1"
    & intersection("2","1") = "1"
    & intersection("2","2") = "2" ) ).

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

fof(member_of_1_not_of_2,fi_functors,
    ( member_of_1_not_of_2("1","1") = "1"
    & member_of_1_not_of_2("1","2") = "1"
    & member_of_1_not_of_2("2","1") = "1"
    & member_of_1_not_of_2("2","2") = "1" ) ).

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

fof(union,fi_functors,
    ( union("1","1") = "1"
    & union("1","2") = "2"
    & union("2","1") = "2"
    & union("2","2") = "2" ) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.13  % Problem  : SET781-1 : TPTP v8.1.0. Released v2.5.0.
% 0.07/0.13  % Command  : paradox --no-progress --time %d --tstp --model %s
% 0.14/0.34  % Computer : n006.cluster.edu
% 0.14/0.34  % Model    : x86_64 x86_64
% 0.14/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.34  % Memory   : 8042.1875MB
% 0.14/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.14/0.35  % CPULimit : 300
% 0.14/0.35  % WCLimit  : 600
% 0.14/0.35  % DateTime : Sat Jul  9 18:18:21 EDT 2022
% 0.14/0.35  % CPUTime  : 
% 0.14/0.35  Paradox, version 4.0, 2010-06-29.
% 0.14/0.35  +++ PROBLEM: /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.14/0.35  Reading '/export/starexec/sandbox/benchmark/theBenchmark.p' ... OK
% 0.14/0.35  Reading 'Axioms/SET002-0.ax' ... ('/export/starexec/sandbox/benchmark/Axioms/SET002-0.ax') OK
% 0.14/0.36  +++ SOLVING: /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.14/0.36  +++ BEGIN MODEL
% 0.14/0.36  SZS output start FiniteModel for /export/starexec/sandbox/benchmark/theBenchmark.p
% See solution above
% 0.14/0.36  +++ END MODEL
% 0.14/0.36  +++ RESULT: Satisfiable
% 0.14/0.36  SZS status Satisfiable for /export/starexec/sandbox/benchmark/theBenchmark.p
%------------------------------------------------------------------------------