How to split file on first empty line in a portable way in shell (e.g. using sed)?

Question

I want to split a file containg HTTP response into two files: one containing only HTTP headers, and one containg the body of a message. For this I need to split a file into

Answer 1

$ cat test.txt
a
b
c

d
e
f
$ sed '/^$/q' test.txt 
a
b
c

$ sed '1,/^$/d' test.txt 
d
e
f

Change the /^$/ to /^\s*$/ if you expect there may be whitespace on the blank line.