#!/usr/bin/sed -f

# Search for a duplicate line --- until that, print what you find.
$b
N
/^\(.*\)\n\1$/ ! {
    P
    D
}

:c
# Got two equal lines in pattern space.  At the
# end of the file we simply exit
$d

# Else, we keep reading lines with N until we
# find a different one
s/.*\n//
N
/^\(.*\)\n\1$/ {
    bc
}

# Remove the last instance of the duplicate line
# and go back to the top
D