10.56.1.1 is local network address - you likely have some kind of proxy active. Did you 'check your proxy settings'? Note that antivirus software can act as proxy, virus can act as proxy, many network traffic sniffers can act as proxy etc etc.
Or you may have some problems with DNS (domain name service) - part of network infrastructure, which translates nice web addresses like www.opera.com to numeric IP addresses like 54.228.210.180. Do your other browsers work correctly?