The owner of this deck hasn't added a sideboard, they probably should...
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Mill your opponents out with spells and by taking advantage of Phenax's ability by milling with large creatures.
Cast mill spells to deplete your opponents library and pick through their deck to exile cards you are unhappy your opponent is using.
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All advice would be much appreciated as this is the first EDH deck i have constructed, feel free to leave card suggestions and/or upgrades.
Even on a budget you can probably improve the land base pretty easily. Sunken Hollow, Drowned Catacomb, Underground River, and Darkwater Catacombs are all under five dollars, and they aren't tempo hits like Terramorphic Expanse, Evolving Wilds, and Dimir Guildgate. Get more draw. You'll run out of gas to fast like this. Phyrexian Arena is a good start, so is Brainstorm. After that I'd go probably Recurring Insight, Rhystic Study, and maybe Mystic Remora. Rise of the Dark Realms can be an alt win-con.
Ok, thanks I will take some of these options into mind.