Investigators have not proved that the forest fire was started by campers.
Therefore (So)
The investigators have not proved that the blaze was caused by campers or lightning.
Evidence
The investigators haven't proved that the forest fire was started by campers, nor have they proved it was started by lightning.
Evaluate
At first it seems like this conclusion is pretty reasonable, right?
Given that ... they haven't proved the fire was from campers and haven't proved the fire was from lightning,
How could we say that ... they have proved that fire was caused by campers or lightning?
Can you prove that "X or Y" is true even though you haven't proven that X or Y separately are true?
I guess so. There might be only two suspects at the scene of the crime. If you know someone committed an act of graffiti on the night of March 10, and you can prove that the only people who were there the night of March 10 were Sam and Pam, then you've proven that , even though you can't prove that it was Sam and can't prove that it was Pam.
Goal
In a sense this is a Part vs. Whole flaw. Since each part of "campers or lightning" has the trait "haven't been proven to be responsible for fire", the author assumes that the collective "campers or lightning" also shares that trait.
But it's a weird manifestation of Part vs. Whole, so it might be easier to just look for a similar conversational objection:
Even though we can't prove it's thing X vs. thing Y, it still might be possible that we're sure it had to be one of those two.