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Clear the Dungeon is a Gridcannon inspired game designed by Mark S Ball who explains the rules in this video and a Google doc.
There are five ways of setting up the monsters, of which the way used here — four decks of three cards each — is the beginner layout. Narrowing the number of monsters that hand cards can be placed on makes the game more difficult.
You have a hand of three cards, and have to play all of them before your hand gets refreshed.
Exactly three cards are used to attack a monster, the first two have to equal or better the monster's value — jacks 11, queens 12, and kings 13 — and the third card isn't counted but has to match the monster's suit.
Cards that cannot be used to attack monsters go to the damage deck, and if it reaches seven, your character dies.
You win if you kill all 12 monsters before running out of cards or discarding seven.