%------------------------------------------------------------------------------
% File     : Paradox---4.0
% Problem  : RNG007-5 : TPTP v8.1.0. Released v1.0.0.
% Transfm  : none
% Format   : tptp:short
% Command  : paradox --no-progress --time %d --tstp --model %s

% Computer : n032.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 20:38:31 EDT 2022

% Result   : Satisfiable 0.14s 0.32s
% 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(a,fi_functors,
    a = "1" ).

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

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

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

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

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

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

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.02/0.09  % Problem  : RNG007-5 : TPTP v8.1.0. Released v1.0.0.
% 0.02/0.10  % Command  : paradox --no-progress --time %d --tstp --model %s
% 0.10/0.29  % Computer : n032.cluster.edu
% 0.10/0.29  % Model    : x86_64 x86_64
% 0.10/0.29  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.29  % Memory   : 8042.1875MB
% 0.10/0.29  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.10/0.29  % CPULimit : 300
% 0.10/0.29  % WCLimit  : 600
% 0.10/0.29  % DateTime : Mon May 30 11:37:12 EDT 2022
% 0.10/0.29  % CPUTime  : 
% 0.10/0.29  Paradox, version 4.0, 2010-06-29.
% 0.10/0.29  +++ PROBLEM: /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.10/0.29  Reading '/export/starexec/sandbox2/benchmark/theBenchmark.p' ... OK
% 0.10/0.30  Reading 'Axioms/RNG001-0.ax' ... ('/export/starexec/sandbox2/benchmark/Axioms/RNG001-0.ax') OK
% 0.10/0.30  +++ SOLVING: /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.14/0.32  +++ BEGIN MODEL
% 0.14/0.32  SZS output start FiniteModel for /export/starexec/sandbox2/benchmark/theBenchmark.p
% See solution above
% 0.14/0.32  +++ END MODEL
% 0.14/0.32  +++ RESULT: Satisfiable
% 0.14/0.32  SZS status Satisfiable for /export/starexec/sandbox2/benchmark/theBenchmark.p
%------------------------------------------------------------------------------