the other one is '靠近方便, 贴近文明', both of which have different versions of English translations, most of them, though, suck. they go like:
One small step forward One giant leap toward civilization
A small step for man, A giant leap for mankind
Near the civilization Near the wall
close to civilization, Near to convenience
Are there any ones you guys find suitable and making sense to a western people?
向前一小步， 文明一大步。
靠近方便, 贴近文明。
What they both want to say is: Please pee in the urinal, not on the floor.
They just say it in a very discreet Chinese way.
The quote from your title:
'向前一小步，文明一大步。'
which literally translated to: "One small step forward, (is a) big step for civilization"
Is kind of a paraphrase of Neil Armstrong's "One small step for a man, one giant leap for mankind" which translates, according to Wikiquote, to:
'这是我个人的一小步，却是全人类的一大步。'
However, as mentioned above, this is a euphemistic way of asking people to get closer to the urinals in order to keep the floor dry and clean.
