Cast Maddening Cacophony with kicker by paying {4}{U}{U}, causing each opponent to mill half their library, rounded up.
Activate Riverchurn Monument's exhaust ability by paying {2}{U}{U} and tapping it, causing each opponent to mill the remainder of their library.

Infinite mill

Riverchurn Monument

Maddening Cacophony

Cast Overture by paying {4}{U}{U}, causing each opponent to mill half their library, rounded down.
Activate Riverchurn Monument's exhaust ability by paying {2}{U}{U} and tapping it, causing each opponent to mill the remainder of their library.

Infinite mill for target opponent

Jidoor, Aristocratic Capital // Overture

Cast Traumatize by paying {3}{U}{U}, causing a player to mill half their library, rounded down.
Activate Riverchurn Monument's exhaust ability by paying {2}{U}{U} and tapping it, causing each player to mill cards equal to the number of cards in their graveyard, thus causing the player targeted by Traumatize to mill the rest of their library.

Traumatize

Cast Singularity Rupture with kicker by paying {4}{U}{U}, causing each opponent to mill half their library, rounded up.
Activate Riverchurn Monument's exhaust ability by paying {2}{U}{U} and tapping it, causing each opponent to mill the remainder of their library.

Singularity Rupture

Cast Cut Your Losses by paying {4}{U}{U}, causing a player to mill half their library, rounded up.
Activate Riverchurn Monument's exhaust ability by paying {2}{U}{U} and tapping it, causing each player to mill cards equal to the number of cards in their graveyard, thus causing the player targeted by Cut Your Losses to mill the rest of their library.

Infinite mill for up to two target players

Cut Your Losses

Declare Terisian Mindbreaker as an attacker, triggering its ability, causing an opponent to mill half their library, rounded up.
Activate Riverchurn Monument's exhaust ability by paying {2}{U}{U} and tapping it, causing each player to mill cards equal to the number of cards in their graveyard, thus causing the player attacked by Terisian Mindbreaker to mill the rest of their library.

Terisian Mindbreaker

Declare Fleet Swallower as an attacker, triggering its ability, causing a player to mill half their library, rounded up.
Activate Riverchurn Monument's exhaust ability by paying {2}{U}{U} and tapping it, causing each player to mill cards equal to the number of cards in their graveyard, thus causing the player targeted by Fleet Swallower's ability to mill the remainder of their library.

Fleet Swallower

Cast Kitsune's Technique by paying {4}{U}{U}, causing an opponent to mill half their library, rounded up.
Activate Riverchurn Monument's exhaust ability by paying {2}{U}{U} and tapping it, causing the opponent to mill the remainder of their library.

Kitsune's Technique

Declare Lord Xander as an attacker, triggering its ability, causing an opponent to mill half their library, rounded down.
Activate Riverchurn Monument's exhaust ability by paying {2}{U}{U} and tapping it, causing each player to mill cards equal to the number of cards in their graveyard.

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