%------------------------------------------------------------------------------
% File     : Paradox---4.0
% Problem  : RNG025-9 : TPTP v8.1.0. Released v1.0.0.
% Transfm  : none
% Format   : tptp:short
% Command  : paradox --no-progress --time %d --tstp --model %s

% Computer : n020.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 20:38:33 EDT 2022

% Result   : Satisfiable 0.13s 0.39s
% Output   : FiniteModel 0.13s
% Verified : 
% SZS Type : FiniteModel
%            Domain size           :    3

% Comments : 
%------------------------------------------------------------------------------
% domain size is 3
fof(domain,fi_domain,
    ! [X] :
      ( X = "1"
      | X = "2"
      | X = "3" ) ).

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

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

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

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

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

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

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

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

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

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12  % Problem  : RNG025-9 : TPTP v8.1.0. Released v1.0.0.
% 0.12/0.13  % Command  : paradox --no-progress --time %d --tstp --model %s
% 0.13/0.34  % Computer : n020.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 : Mon May 30 21:22:53 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
% 0.13/0.39  +++ BEGIN MODEL
% 0.13/0.39  SZS output start FiniteModel for /export/starexec/sandbox/benchmark/theBenchmark.p
% See solution above
% 0.13/0.39  +++ END MODEL
% 0.13/0.39  +++ RESULT: Satisfiable
% 0.13/0.39  SZS status Satisfiable for /export/starexec/sandbox/benchmark/theBenchmark.p
%------------------------------------------------------------------------------