Complex sentence: The quartet then, began working in the studio in late May 2001 with Rubin as producer, and after tossing around the idea of being called "Civilian", they settled on Audioslave.
Split into simpler sentences: The quartet then, began working in the studio in late May 2001 with Rubin as producer. After tossing around the idea of being called "Civilian", they settled on Audioslave.