Вход на сайт с CURL PHP не работает

У меня проблема при входе на сайт с CURL и PHP.

Я тестировал с надстройкой Firefox HttpRequester, и это сработало.

Результат логин:

POST https://www.balatarin.com/sessions
Content-Type: application/x-www-form-urlencoded
session[login]=testeruni&session[password]=123456789&session[remember_me]=1&commit=%D9%88%D8%B1%D9%88%D8%AF&utf8=%E2%9C%93&authenticity_token[![httprequester][1]][1]
-- response --
200 OK
Server:  shield
Date:  Thu, 19 Jan 2017 13:51:54 GMT
Content-Type:  text/html; charset=utf-8
status:  200 OK
X-Frame-Options:  SAMEORIGIN
X-XSS-Protection:  1; mode=block
x-ua-compatible:  IE=Edge,chrome=1
Etag:  W/"7418542e936fbdfe20002faf11876845"Cache-Control:  must-revalidate, private, max-age=0
Set-Cookie:  _balat_session_new=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--2c2a72f8ec27564250ba084d97998aefba4af11a; path=/; secure; HttpOnly geo=0
X-Request-Id:  521288561d7cfff0ef8fe8d72080760c
X-Runtime:  0.188862
X-Rack-Cache:  miss
Content-Encoding:  gzip
Via:  1.1 google
Alt-Svc:  clear
Expires:  Thu, 19 Jan 2017 13:51:54 GMT
X-Firefox-Spdy:  h2

но он не входит с помощью curl в PHP. Я проверил все заголовки в моем CURL, но он не входит в систему, работает только с HttpRequester.

public function actionLoggin()
{
$url = 'https://www.balatarin.com/sessions';

$headers[] = 'Content-Type: application/x-www-form-urlencoded';
$headers[] = 'Host: www.balatarin.com';
$headers[] = 'User-Agent: Mozilla/5.0 (Windows NT 6.3; Win64; x64; rv:50.0) Gecko/20100101 Firefox/50.0';
$headers[] = 'Referer: https://www.balatarin.com/login';

$params = array(
'session[login]' => 'testeruni',
'session[password]' => '123456789',
'session[remember_me]' => '0',
'commit' => 'ورود',
'utf8' => '✓',
'authenticity_token' => '',
);

//open connection
$ch = curl_init();
curl_setopt($ch, CURLOPT_URL, $url);
curl_setopt($ch, CURLOPT_POSTFIELDS, http_build_query($params));
curl_setopt($ch, CURLOPT_HTTPHEADER, $headers);
curl_setopt($ch, CURLOPT_COOKIEJAR, 'bala_cookie.txt');
curl_setopt($ch, CURLOPT_COOKIEFILE, 'bala_cookie.txt');
curl_setopt($ch, CURLOPT_RETURNTRANSFER, true);
$result = curl_exec($ch);
curl_close($ch);

echo $result;
}

Вот мой файл cookie:

# Netscape HTTP Cookie File
# https://curl.haxx.se/docs/http-cookies.html
# This file was generated by libcurl! Edit at your own risk.

www.balatarin.com   FALSE   /   FALSE   0   logged_in   1
#HttpOnly_www.balatarin.com FALSE   /   TRUE    0   _balat_session_new  BAh7CToOcmV0dXJuX3RvMDoMdXNlcl9pZGkDj60BOhJsb2dpbl9yZXRyaWVzMEkiD3Nlc3Npb25faWQGOgZFRkkiJTgwN2ZmMDRjMGUzMzkyMDIyZWY5YzBmZTQxN2FmZWMzBjsIVA%3D%3D--d47dd61bc9900449cca69ebd727041c3946a13ba
www.balatarin.com   FALSE   /   FALSE   0   geo 0
www.balatarin.com   FALSE   /   FALSE   1516368886  corr    b8ed93fa279a469a637b