"The Battle of John and Yoko" – Les Fab Quatre
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Les Fab Duo is actually more accurate. John and Paul recorded this without George or Ringo.
The Wikipedia article is pretty interesting. The story both behind the recording of the song and the events depicted in the song are worth a read.
Since none of you will actually get around to reading it, I will go ahead and give you the TLDR
Of course my summary is probably TLDR too...
the session tapes include the following exchange
Lennon (on guitar): "Go a bit faster, Ringo."
McCartney (on drums): "OK, George!"
This was after the big fallout over Apple Records business decisions (McCartney being right in hindsight about their unfortunate choice of manager). They put their issues aside
Historian Mark Lewisohn:
the session tapes challenged the typical reports of Lennon and McCartney's relationship becoming acrimonious in 1969, as the pair's "great talent, humoour, musical understanding and togetherness shone through from start to finish"