$ java -Djavax.net.debug=all HelloWorldApp
setting up default SSLSocketFactory
class ru.CryptoPro.ssl.SSLSocketFactoryImpl is loaded
Apr 3, 2012 2:33:10 PM ru.CryptoPro.ssl.SSLContextImpl d
INFO: defaultStoreProvider = 
Apr 3, 2012 2:33:10 PM ru.CryptoPro.ssl.SSLContextImpl d
INFO: 
Apr 3, 2012 2:33:10 PM ru.CryptoPro.JCP.tools.z a
INFO: Loading JCP 1.0.52
Apr 3, 2012 2:33:10 PM ru.CryptoPro.JCP.tools.z a
INFO: JCP loaded.
instantiated an instance of class ru.CryptoPro.ssl.SSLSocketFactoryImpl
Apr 3, 2012 2:33:12 PM ru.CryptoPro.ssl.d a
WARNING: %% No alias is match
javax.net.ssl.SSLHandshakeException: Received fatal alert: BAD_CERTIFICATE
	at ru.CryptoPro.ssl.K.a(Unknown Source)
	at ru.CryptoPro.ssl.K.a(Unknown Source)
	at ru.CryptoPro.ssl.t.a(Unknown Source)
	at ru.CryptoPro.ssl.t.i(Unknown Source)
	at ru.CryptoPro.ssl.t.startHandshake(Unknown Source)
	at sun.net.www.protocol.https.HttpsClient.afterConnect(HttpsClient.java:440)
	at sun.net.www.protocol.https.AbstractDelegateHttpsURLConnection.connect(AbstractDelegateHttpsURLConnection.java:185)
	at sun.net.www.protocol.https.HttpsURLConnectionImpl.connect(HttpsURLConnectionImpl.java:153)
	at HelloWorldApp.main(hello.java:34)

import java.net.URL;
import java.net.URLConnection;

class HelloWorldApp {
	// Пароль везде используется один.
	private static final String secret = "secret";

	private static final String remote_url = "https://a.b.c.d:port";

	public static void main(String[] args) {
		System.setProperty("javax.net.debug", "ssl");

		// ключи лежат в /var/CPROcsp/keys/$USERNAME/second.000

		System.setProperty("javax.net.ssl.keyStoreType", "HDImageStore");
		System.setProperty("javax.net.ssl.keyStore", "second");
		System.setProperty("javax.net.ssl.keyStorePassword", secret);

		System.setProperty("javax.net.ssl.trustStoreType", "HDImageStore");
		System.setProperty("javax.net.ssl.trustStore", "keys/CertStore");
		System.setProperty("javax.net.ssl.trustStorePassword", secret);

		try {
			URL url = new URL(remote_url);
			URLConnection connection = url.openConnection();

			connection.setDoInput(true);
			connection.setDoOutput(true);

			connection.connect();
		} catch (Exception e) {
			e.printStackTrace();
		}
	}
}