Increase Atla's toughness by at least one.
Activate Mirror Entity an arbitrarily large number of times by paying a total of {0}.
Resolve the first Mirror Entity ability, causing all creatures you control to have base power and toughness 0/0 and gain all creature types until end of turn.
All creatures you control except Atla die as a state-based action due to having zero toughness.
If Ulamog died this way, it triggers, shuffling your graveyard into your library.
Atla triggers once for each creature that died.
Resolve the first Atla trigger, revealing cards from the top of your library until you reveal a creature card, then putting the creature card onto the battlefield and all other revealed cards on the bottom of your library.
Repeat step 7 for each remaining Atla trigger.
Repeat from step 3 for each remaining Mirror Entity ability.

Infinite death triggers

Infinite ETB

Infinite LTB

Atla Palani, Nest Tender

Mirror Entity

Ulamog, the Infinite Gyre

Cast Morality Shift by paying {5}{B}{B}, exchanging your graveyard and library.
Syr Konrad triggers once for each creature card that left your graveyard and once for each creature card put into your graveyard; Ulamog also triggers.
Resolve Ulamog's trigger, shuffling your graveyard into your library.
Syr Konrad triggers an additional time for each creature card that left your graveyard.
Resolve all of Syr Konrad's triggers, dealing 1 damage to each opponent for each one.

Near-infinite damage

Syr Konrad, the Grim

Morality Shift

Attack with Neheb and Hellkite Charger.
Hellkite Charger triggers.
Pay {5}{R}{R} to the trigger, gaining an extra combat phase and untapping all creatures you control.
Neheb deals combat damage, triggering.
With Neheb trigger, discard 7 cards and draw 7 cards, discards Ulamog when able, adding {R}{R}{R}{R}{R}{R}{R}.
End combat.
Repeat.

Infinite damage

Infinite rummaging

Neheb, Dreadhorde Champion

Hellkite Charger

Discard Ulamog if it is in your hand, or kill it if it is on the battlefield.
Ulamog triggers, shuffling your graveyard into your library.
Cast Inverter of Truth by paying {2}{B}{B}.
When Inverter of Truth enters the battlefield, it triggers, exiling your library.
Cast Thassa's Oracle by paying {U}{U}.
When Thassa's Oracle enters the battlefield, it triggers, causing you to win the game.

Exile your library and graveyard

Win the game

Inverter of Truth

Thassa's Oracle

Activate Phyrexian Altar by sacrificing Ulamog, adding one mana of any color.
Ulamog and Verdant Succession trigger.
Resolve the Ulamog trigger, shuffling your graveyard into your library.
Resolve the Verdant Succession trigger, searching your library for Ulamog, putting it onto the battlefield and shuffling your library.
Repeat.

Infinite colored mana

Infinite sacrifice triggers

Verdant Succession

Phyrexian Altar

Painter's Servant

Activate Ashnod's Altar by sacrificing Ulamog, adding {C}{C}.
When Ulamog dies, it, Heirloom Blade and Deathrender trigger.
Resolve the Ulamog trigger, shuffling it into your library.
Resolve the Heirloom Blade trigger, causing you to reveal cards from the top of your library until you reveal Ulamog and put it into your hand.
Resolve the Deathrender trigger, putting Ulamog from your hand onto the battlefield and attaching Deathrender to it.
Activate Heirloom Blade's equip ability by paying {1}, attaching it to Ulamog.
Repeat.

Infinite colorless mana

Deathrender

Heirloom Blade

Ashnod's Altar

Activate Ashnod's Altar by sacrificing Ulamog, adding {C}{C}.
Ulamog and Verdant Succession trigger.
Resolve the Ulamog trigger, shuffling your graveyard into your library.
Resolve the Verdant Succession trigger, searching your library for Ulamog, putting it onto the battlefield and shuffling your library.
Repeat.

Activate Captain Sisay by tapping it, searching your library for Ulamog and putting it into your hand.
Activate Mind Over Matter by discarding Ulamog.
Ulamog triggers, shuffling your graveyard into your library.
Resolve the Mind Over Matter ability, untapping Captain Sisay.
Repeat.

Infinite self-discard triggers

Captain Sisay

Mind Over Matter

Activate Altar of Dementia by sacrificing Ulamog.
Ulamog and Verdant Succession trigger.
Resolve the Ulamog trigger, shuffling your graveyard into your library.
Resolve the Verdant Succession trigger, searching your library for Ulamog, putting it onto the battlefield and shuffling your library.
Resolve the Altar of Dementia ability from step 1, causing target player to mill cards equal to Ulamog's power.
Repeat.

Infinite mill

Infinite self-mill

Altar of Dementia

Activate Lagomos by tapping it, searching your library for Ulamog and putting it into your hand.
Activate Mind over Matter by discarding Ulamog, targeting Lagomos.
Ulamog triggers, shuflling your graveyard into your library.
Resolve the Mind over Matter trigger, untapping Lagomos.
Repeat.

Lagomos, Hand of Hatred

Tap Seeker of Skybreak to untap itself.
Mill 1 with Mesmeric Orb.
Repeat until you mill Nullpriest of Oblivion and Syr Konrad shuffling when you do not mill them using the Titan.
Cast and kick Nullpriest of Oblivion with Lurrus of the Dream-Den, bringing Syr Konrad to the battlefield.
Repeat Milling until you mill the Titan, dealing damage with Syr Konrad.

Lurrus of the Dream-Den

Mesmeric Orb

Seeker of Skybreak

Nullpriest of Oblivion

Tap Alphetto Alchemist to untap itself.
Mill 1 with Mesmeric Orb.
Repeat until you mill Nullpriest of Oblivion and Syr Konrad shuffling when you do not mill them using the Titan.
Cast and kick Nullpriest of Oblivion with Lurrus of the Dream-Den, bringing Syr Konrad to the battlefield.
Repeat Milling until you mill the Titan, dealing damage with Syr Konrad.

Aphetto Alchemist

Activate Seismic Assault by discarding Dakmor Salvage, targeting Swans of Bryn Argoll.
When Swans of Bryn Argoll would be dealt damage, it replaces that damage with 2 card draws.
Replace one of the draws with Dakmor Salvage's dredge 2 ability.
Repeat until you have either 1 or 0 cards in your library, holding priority on anything that might trigger and continuing the loop.
Activate Seismic Assault discarding all lands with the exception of Dakmor Salvage targeting your opponent, then based on if you milled Ulamog, Kozilek, or both, follow the instructions below.
If you milled both Ulamog and Kozilek, resolve the most recent trigger, then repeat from the beginning.
If you milled Kozilek and drew Ulamog or vice versa, resolve the shuffle trigger then repeat from the beginning.
If you drew both Ulamog and Kozilek.
resolve any shuffle triggers left on the stack, then move to the cleanup phase and discard both titans to handsize.
Resolve one of the shuffle triggers, then repeat from the beginning in response to the other shuffle trigger.

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