InfoPath cannot save the following form... This libary was either renamed or deleted, or network problems are preventing the file from being saved.

InfoPath cannot save the following form: Form Name. This Document Library was either renamed or deleted, or network problems are preventing the file from being saved. Contact your network administrator.


    This issue occurs because the Desktop Experience feature is not enabled on the Windows Server 2008 R2 server. Therefore, connections cannot be made from the Windows Server 2008 R2 server to the SharePoint server.

To work around this issue, install the Desktop Experience feature, and restart the Windows Server 2008 R2 server. Then, start the Themes service from the Windows Services console.

As desktop Experience feature is being relocated to be under User interface and infrastructure many people might believe it’s no longer there ! but it’s and below screenshot shows the exact location of desktop experience feature.

     
do the following three steps

• Add Windows Server Feature: User Interfaces and Infrastructure -> Desktop Experience 
• Reboot 
• Start Windows Services -> Themes service