%------------------------------------------------------------------------------
% File     : Paradox---4.0
% Problem  : SCT029-1 : TPTP v8.1.0. Released v4.1.0.
% Transfm  : none
% Format   : tptp:short
% Command  : paradox --no-progress --time %d --tstp --model %s

% Computer : n011.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 22:00:47 EDT 2022

% Result   : Satisfiable 0.13s 0.36s
% Output   : FiniteModel 0.13s
% Verified : 
% SZS Type : FiniteModel
%            Domain size           :    2

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

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

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

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

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

fof(c_fequal,fi_predicates,
    ( ( c_fequal("1","1","1")
    <=> $true )
    & ( c_fequal("1","2","1")
    <=> $false )
    & ( c_fequal("2","1","1")
    <=> $false )
    & ( c_fequal("2","2","1")
    <=> $true )
    & ! [X1,X2] :
        ( c_fequal(X1,X2,"2")
      <=> c_fequal(X1,X2,"1") ) ) ).

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

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

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

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

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

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

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

fof(tc_prod,fi_functors,
    ( tc_prod("1","1") = "1"
    & ! [X2] : tc_prod("2",X2) = tc_prod("1",X2)
    & ! [X1] : tc_prod(X1,"2") = tc_prod(X1,"1") ) ).

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

fof(v_sko__Arrow__Order__Mirabelle__Xdictator__def__1,fi_functors,
    ( v_sko__Arrow__Order__Mirabelle__Xdictator__def__1("1","1") = "2"
    & v_sko__Arrow__Order__Mirabelle__Xdictator__def__1("1","2") = "2"
    & v_sko__Arrow__Order__Mirabelle__Xdictator__def__1("2","1") = "1"
    & v_sko__Arrow__Order__Mirabelle__Xdictator__def__1("2","2") = "2" ) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.13  % Problem  : SCT029-1 : TPTP v8.1.0. Released v4.1.0.
% 0.03/0.13  % Command  : paradox --no-progress --time %d --tstp --model %s
% 0.13/0.35  % Computer : n011.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 : Sat Jul  2 05:32:49 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
% 0.13/0.36  +++ SOLVING: /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.13/0.36  +++ BEGIN MODEL
% 0.13/0.36  SZS output start FiniteModel for /export/starexec/sandbox/benchmark/theBenchmark.p
% See solution above
% 0.13/0.36  +++ END MODEL
% 0.13/0.36  +++ RESULT: Satisfiable
% 0.13/0.36  SZS status Satisfiable for /export/starexec/sandbox/benchmark/theBenchmark.p
%------------------------------------------------------------------------------