Monotonic sort order

[NMFES]

Could you clarify please is there monotonic sort order implemented?

using namespace std;

map<string, bool> values;

mt19937 rng;
rng.seed(random_device()());
uniform_int_distribution<mt19937::result_type> dist(1, 100000);

for (auto i = 0; i < 10; ++i) {
    auto msec   = chrono::duration_cast<chrono::milliseconds>(chrono::system_clock::now().time_since_epoch()).count();
//        auto sec    = chrono::duration_cast<chrono::seconds>(chrono::system_clock::now().time_since_epoch()).count();

    auto ulid = ulid::Create(msec, [&]() {
        return dist(rng);
    });

    auto marshal = ulid::Marshal(ulid);
    cout << "ULID: " << marshal << " TIME:" << msec << endl;
    values.insert(pair<string, bool> (marshal, true));
}

cout << endl;

for (auto it = values.begin(); it != values.end(); ++it) {
    cout << (*it).first << endl;
}

As result:

ULID: 01F0Q46HRRM8TN2DYE2QAYFBCV TIME:1615683864344
ULID: 01F0Q46HRRHEHPZY95X06GF250 TIME:1615683864344
ULID: 01F0Q46HRRD7QSH5481ED4NJDV TIME:1615683864344
ULID: 01F0Q46HRRE4QDCAK58JQJA1CF TIME:1615683864344
ULID: 01F0Q46HRRDTW2XXMN28B54888 TIME:1615683864344
ULID: 01F0Q46HRRC0QVB15CHGRB8DVS TIME:1615683864344
ULID: 01F0Q46HRR6WJFE1YM6BEB8XNZ TIME:1615683864344
ULID: 01F0Q46HRR8J4MS9DYW2F7QKBD TIME:1615683864344
ULID: 01F0Q46HRRNMS141PFKDGA2TY6 TIME:1615683864344
ULID: 01F0Q46HRR9P6D9ZZYJCV5MX9E TIME:1615683864344

01F0Q46HRR6WJFE1YM6BEB8XNZ
01F0Q46HRR8J4MS9DYW2F7QKBD
01F0Q46HRR9P6D9ZZYJCV5MX9E
01F0Q46HRRC0QVB15CHGRB8DVS
01F0Q46HRRD7QSH5481ED4NJDV
01F0Q46HRRDTW2XXMN28B54888
01F0Q46HRRE4QDCAK58JQJA1CF
01F0Q46HRRHEHPZY95X06GF250
01F0Q46HRRM8TN2DYE2QAYFBCV
01F0Q46HRRNMS141PFKDGA2TY6

You can see that the selected value is not in the same order as it should be. I understand that map-container keeps values sorted and they are not even in reverse order. As we can see their time is the same.
I also compared how it works in PHP (https://github.com/rorecek/laravel-ulid and https://github.com/ulid/javascript).
Here is console output:

>>> $values = [];
=> []
>>> for($i = 0; $i < 10; ++$i) { $ulid = ulid(); $values[] = $ulid; echo $ulid . PHP_EOL;}
01F0Q59G42ZHN51J4AYR6F2XHV
01F0Q59G43CKCHAPCFWRXQEJHX
01F0Q59G44D1QHZGS9ZSZGQ78H
01F0Q59G45AG3KXAZMZ5JQ9B30
01F0Q59G46ZZZ616T9YE2TQ2E8
01F0Q59G47XB98SAJETRMG659C
01F0Q59G48MZXWAXK4APFQG90A
01F0Q59G49CFSP07JXWQ9ADF1E
01F0Q59G4AVC3D99EFCG7SYGA0
01F0Q59G4BHDJY7W2HERNG7EGB
>>> asort($values);
=> true
>>> print_r($values);
Array
(
    [0] => 01F0Q59G42ZHN51J4AYR6F2XHV
    [1] => 01F0Q59G43CKCHAPCFWRXQEJHX
    [2] => 01F0Q59G44D1QHZGS9ZSZGQ78H
    [3] => 01F0Q59G45AG3KXAZMZ5JQ9B30
    [4] => 01F0Q59G46ZZZ616T9YE2TQ2E8
    [5] => 01F0Q59G47XB98SAJETRMG659C
    [6] => 01F0Q59G48MZXWAXK4APFQG90A
    [7] => 01F0Q59G49CFSP07JXWQ9ADF1E
    [8] => 01F0Q59G4AVC3D99EFCG7SYGA0
    [9] => 01F0Q59G4BHDJY7W2HERNG7EGB
)

As you can see after the sorting we have the same order as it was in loop during generation.
Sorry if I maybe misunderstood how to use this lib. Is there a way to get that monotonic sort order (Ulid spec https://github.com/ulid/spec)?