Conquest/Joust/Arena

Most of Sol's main ability damage is tied to her 2, and her 4, unless you have an assassin on you then you can factor the 1 and 3 seldom. But for the most part it's her 2. What does this benefit from? Heavy burst procs.

https://www.smitegame.com/news/5-13-mid-season-update-notes

This was the patch where Sol burst became less relevant. Soul Reaver lost it's true damage burst proc, and became the current version with have now, that benefits from constant ability usage and (with high pen items like Spear of the Magus which makes it very potent early game, on gods like Ah Puch, Agni etc...). Then we look at Ethereal Staff, this item was kinda like the current Soul Reaver, which is okay-ish on Sol, but now? It hardly provides much for burst. So before mid season, Sol could build into Soul Reaver and Ethereal Staff, quite nicely, pair this with Chronos' Pendant, Soul Gem (which was initially stronger when the item released, got nerfed a bit), Pen boots and Divine or Tahuti. But this build style has lost it's effectiveness, especially in regards to Ethereal Staff, and with Soul Reaver being a less stonger pick on Sol.

Take a look here: https://smiteprobuilds.com/Builds?p_filters_page=1&p_filters_search=&p_filters_god=2074&p_filters_pro=~&p_filters_opponent=~&p_filters_role=~&p_filters_league=SPL&p_filters_sort=~

All the cases of pros building Sol somewhat ability based was mostly pre-mid season (bottom of page 1, page 2), and when her passive was stronger. Since then, Demonic and especially Telkhines have been built very often on her since they're buffs, and Demonic was already built before in a lot of cases.

You are building Sol in not only in a lesser effective form, but not well either. Your second build has no percentage pen at all, making it flat out bad.

Now if you really want to build Sol ability based I suggest the following builds:

1. Bancroft's Talon, Shoes of the Magi (or Shoes of Focus), Book of Thoth, Obsidian Shard, Soul Reaver, Book of the Dead. This is the build has Wlfy used on Sol in some SPL matches since the Book of Thoth buff from post mid-season 5 patch.

2. Shoes of the Magi, Chronos' Pendant, Soul Gem, Obsidian Shard, Soul Reaver, Divine Ruin/ Rod of Tahuti.

3. (Hybrid): Bancroft's Talon, Shoes of the Magi, Book of Thoth, Obsidian Shard, Demonic Grip (or Telkhines Ring), Soul Reaver.

Now covering AA-builds, this one is typically the best: Bancroft's Talon, Shoes of the Magi, Demonic Grip, Divine Ruin (or if anti-heal is not needed get Deso or Tahuti lategame), Telkhines Ring, Obsidian Shard.

Situational/Alternative items: Mantle of Discord (you do not need this item every game), Magi's Cloak, Spear of Desolation, Shoes of Focus (only if building Thoth and Book of the Dead in a build), Rod of Tahuti, Typhon's Fang (heavily countered by anti-heal), Hastened Ring.

Build Start: Hunter's Blessing, Tiny Trinket, 2 x health and 2 x mana pots.

For Arena you can rush tier 2 bancrofts.

Also your levelling order isn't ideal in most cases. For the first 5 levels it should be: 2 > 1 > 2 > 3 > 4. Only if you're in danger of getting ganked/chased would you take the 3 at level 3.

As for maxing priority it's: 4 > 2 > 1 > 3.