I did some research on this bible website and couldn't find any text indicating Satan as the ruler of Hell indeed.
I found that another name that can be used for hell is the Abyss:
30 Jesus asked him, “What is your name?” “Legion,” he replied, because many demons had gone into him. 31 And they begged Jesus repeatedly not to order them to go into ...
"Solve et coagula" is the principle underlying alchemy: dissolve materials to their constituents and re-assemble these into something else.
Fulcanelli writes of this quote:
If you know how to dissolve the fixed,
And to make the dissolved fly,
Then to fix the flying in powder,
You have something to console yourself with.
Why is Satan commonly believed to rule in hell?
Some believe Satan is a Seraphim and chief yof the sinning angels, is probably the highest of all the angels. There are some who think that Lucifer was highest only among the rebel angels in hell.
This answer will be based on the Catholic traditions in regards to Satan and the nine choirs of angels.
This probably derives from the Greek coinage spagyria, which itself is supposed to come from 'σπάω' and 'ἀγείρω.' These words roughly correspond to "solve" and "coagula," or divide and join.
This word was used by Paracelsus, perhaps the most famous alchemist. I am using Andrew Weeks' translation, which I believe is from the (original?) German text.
This "falling from grace" story did not originate with Christianity. Take Tantalos for example, or Zeus banishing Hades to the underworld.
As for earlier "fruit-picking" mythology, there's the story of the Monkey King stealing the peaches of eternal life from the Jade Palace in Chinese mythology.