Solibri Model Checker makes it easy to transfer a license between your computers. All that is required is to provide your Solibri Solution Center (SSC) username and password on the other machine when you start SMC. The SSC will register that new machine and unregister the old one.
However, you are only able to register/run SMC on one computer at a time using your SSC username. So if you close SMC on your office computer, you should be able to open SMC on your home computer and vice versa. If SMC is already open on another machine, or if you have borrowed a license, you will receive the following error when attempting to open SMC on another computer until SMC is closed or the borrowed license is returned respectively:
Information on borrowing and returning licenses can be found article Borrowing Licenses.
If you wish to run SMC on two machines concurrently, you will need to create two usernames in the SSC, assign licenses to both usernames and register those user names on each computer. It is important to note that this will reduce your companies available floating licenses by two while both machines have SMC open. Information on creating users and assigning licenses can be found in the article How to Easily and Efficiently Manage Your SMC Users and Licenses