Deck Summary

These two partner commanders together are believed to be one of, if not the best commanders in the Commander format.  There's good reason behind this opinion, as these decks can be constructed to be extremely efficient, and the card draw available to the commanders will allow you to find interaction to disrupt the other players, while moving you forward towards your win condition.

Go for a hand with at least 1 mana rock/dork (Carpet of Flowers counts as a mana rock if there's another blue player in the pod).  Try to get Tymna the Weaver out immediately and start drawing cards with her.  Whenever she dies, move on to Thrasios, Triton Hero once you have 6 or more mana available in a turn (getting Thrasios onto the board while Tymna is on the board can also work).

Win by using Thassa's Oracle, Laboratory Maniac (if you want to add it), or Jace, Wielder of Mysteries with Demonic Consultation or Tainted Pact

Card advantage your way into the cards that protect you from interaction (Grand Abolisher, Silence, Veil of Summer, and counterspells) and into tutors to get your win condition pieces.

Use your wheels (Windfall, Dark Deal, Jace's Archivist) with Hullbreacher and Notion Thief to remove interaction from your opponent's.

If you draw Neoform it is primarily a deck tech to be used when you intend to try for a win.  You can turn a mana dork into Grand Abolisher or Thassa's Oracle (if you have Demonic Consultation or Tainted Pact in hand).  You can also turn Thrasios, Triton Hero into a Hullbreacher if you intend to wheel or Laboratory Maniac if you intend to win or need a replacement effect upon draw to get around an opponent's Hullbreacher/Notion Thief.  Tymna the Weaver can be neoformed into a Notion Thief if you intend to wheel as well.

If you find the opportunity to use a main phase Necropotence or end step Ad Nauseam carefully consider how much life to spend based on the board state and information you know about each deck and each players' hand.

Glasses of Urza and Telepathy are two of my favorite cards in EDH.  Knowing about the interaction other players have available is very powerful. Opposition Agent allows you to control your opponent while they search their deck.  When you are controlling an opponent you may also look at their hand, so this is an additional way to get interaction information on an opponent.

Mana Rocks/Dorks

Mana Crypt
Chrome Mox
Sol Ring
Carpet of Flowers
Birds of Paradise
Deathrite Shaman
Noble Hierarch
Avacyn's Pilgrim
Elves of Deep Shadow
Arcane Signet
Azorius Signet
Dimir Signet

Removal

Chain of Vapor
Nature's Claim
Pongify
Rapid Hybridization
Swords to Plowshares
Assassin's Trophy
Abrupt Decay
Reality Shift
Cyclonic Rift
Toxic Deluge

Counterspells

Pact of Negation
Flusterstorm
Swan Song
Delay
Mana Drain
Fierce Guardianship
Force of Negation
Mystical Dispute
Force of Will

Protection

Grand Abolisher
Silence
Veil of Summer

Deck Thinning

Urza's Bauble
Mishra's Bauble
Gitaxian Probe - can save this for Force of Will or Force of Negation

Prismatic Vista
Bloodstained Mire
Flooded Strand
Marsh Flats
Misty Rainforest
Polluted Delta
Scalding Tarn
Verdant Catacombs
Windswept Heath
Wooded Foothills

These cards effectively reduce the size of the library.  In addition to the two commanders, these cards will reduce the size of the library by 15.  Tutors factored in as well provide a very good chance to get the cards you need to win.

With the fetch lands you can get any color mana that you need by fetching either a basic land, shock land, or dual land. If you need White mana and are activating Wooded Foothills then fetch either Savannah or Temple Garden.  Due to how the land base is built there are 14 lands that can get you any color you need.  For any one of the colors in the commander color indentify there are at least 21 lands you could use to access that color.