It requires that socket functions are enabled (fsockopen() in Denis’ client, stream_socket_client() with my client), and I think it requires allow_fopen_url to be true too. Both are enabled by default in PHP, but orioncities.com may have disabled those.
My client in particular also requires a minimum of PHP 5.3.
Looking at the phpinfo output, you may replace fsockopen() with stream_socket_client(), but I’d strongly advise against that: If they’ve disabled socket connections, then they have some concerns, and if you try to bypass their restrictions, sooner or later, they’ll find out you did and simply add stream_socket_client() to the list of blocked functions, and break your scripts.
If they refuse to enable socket functions, simply switch to another host. And if it comes down to this, do them a favor and tell them to add stream_socket_client() to their list .