Short answer: triggers act as OR operators (so it would look to see if someone has either filled out form.) What you can do as a workaround is set up a trigger with the second form and put a filter after it that looks for the first form fillout.
Triggers use "or" logic. So if you have 2 triggers, a lead will qualify for the smart campaign if they do either of those activities.
If you add filters to the smart list as well, you can add filter logic that applies only to the filters and not the triggers.
Triggers call a smart campaign into action the moment they happen, so it's impossible for triggers to be AND - you can't fill out a form AND visit a webpage simultaneously.
Now - the filters (the Green objects) happen AND the trigger. So, TRIGGER AND (filter1 AND (filter2 OR filter3) AND filter4) <or however you've set up your filters>