Real AntiBot Links Download & unpack: http://bit.makejar.com/labs/anti-bot-links-200/antibotlinks.zip

Code:

Files to add:
/libs/antibotlinks.php

Files to edit:
/index.php
/templates/*theme-name*/index.php

Ok, let's start.

First make a backup of your faucet (everything could go wrong, better safe than sorry).

Then

Copy:
antibotlinks.php

To:
/libs/antibotlinks.php

Now you will need to edit 2 files. I suggest using Notepad++ https://notepad-plus-plus.org/ to edit files but any good editor will do the job.
This is based on FB R60 but should work with newer/older versions.

Open:
/index.php

Find:
   $data['captcha_info'] = $captcha;

add after:
   # AntiBotLinks
   require_once('libs/antibotlinks.php');
   $antibotlinks = new antibotlinks(true);// true if GD is on on the server, false is less secure
   if (array_key_exists('address', $_POST)) {
   if (!$antibotlinks->check()) {
   $antibotlinks->generate(5, true);// number of links once they fail to solve min 3 - max 5, the second param MUST BE true
   }
   } else {
   $antibotlinks->generate(3);// initial number of links min 3 - max 5
   }

Find:
   $data['captcha_valid'] &&

add after:

   # AntiBotLinks
   $antibotlinks->is_valid() &&


Open:
/templates/*theme-name*/index.php

Find:

Add before:
# AntiBotLinks START
?>

# AntiBotLinks END
?>

Find:
   if(!$data["captcha_valid"]): ?>

Invalid captcha code!

   endif; ?>

Add after (the input field must be between ):

# AntiBotLinks START
?>

   if(!$antibotlinks->is_valid()): ?>

Invalid AntiBot verification!

endif; ?>
# AntiBotLinks END
?>

Somewhere between add (you need to do it 5 times, this is where the links will appear):

# AntiBotLinks START
?>
echo $antibotlinks->show_link(); ?>
# AntiBotLinks END
?>

And finally remove the default CLAIM button :)

Thanks to NeedIfFindIt