Ancient Dwarven Carving

[The_GM]

An iron gate, sealed with mystic dwarven runes prevents you from exploring deeper into Earthguard. Near this gate is an ancient carving with five stone urns in front o fit. You find many metal discs by this carving, five have the runes for each of the Dwarven clans, the rest are smaller discs with the dwarven runes for Iron, Copper, Silver, Gold, Diamonds, Sapphires, Jade, Obsidion, Salt, Adamantium, Cold Iron, and Fire Stones.

Carved on the ancient stone is this.

The five great Dwarven clans(Stonebreuw, Strongiron, Stoneblessed, Icetouched, Proudaxe) have mines next to one another, where they mine all different varieties of materials: Ore (iron, copper, silver, gold), gems (Diamonds, sapphires, jade, obsidion) and riches (salt, adamantium, cold Iron, fire stones).

1. They mine 12 different varieties of materials.
2. Each clan mines exactly 4 different varieties of materials
3. Each variety is at least in one clan's mine.
4. Only one variety is in 4 mines.
5. Only in one mine are all 3 kinds of materials.
6. Only in one mine are all 4 varieties of one kind of material.
7. Copper is only in the two border mines.
8. Clan Sontbreuw's mine is in the middle with no Fire Stones.
9. The Salt miners do not mine gems.
10. The Adminantium miners do not mine sapphires
11. Silver miner also mines jade and sapphires.
12. In the first mine are iron and gold.
13. Only in two mines are there gold.
14. Clan IceTouched has gold and obsidion.
15. Strongiron mines exactly two kinds of ore.
16. Cold Ironr is only in two mines.
17. Iron is found in only one mine.
18. Only in one mine next to the Proudaxe is copper mined.
19. Clan Icetouched's mine is not on the border.
20. Stoneblessed mines neither gems nor salt.
21. Clan Stonebreuw mines exactly three kinds of gems.
22. The gold mines are next to each other

Who has which mine and what is mined where?

[enygmasoul]

Five clans : Stonebreuw, Strongiron, Stoneblessed, Icetouched, Proudaxe
Four Ores : Iron, Copper, Silver, Gold
Four Gems : Diamonds, Sapphires, Jade, Obsidian
Four Riches : Salt, Adamantium, Cold Iron, Fire Stones


Name Mat 1 Mat 2 Mat 3 Mat 4

Mine 1 Stoneblessed Gold Copper Iron
Mine 2 Icetouched Gold Obsidian
Mine 3 Stonebreuw
Mine 4 Proudaxe
Mine 5 Strongiron Silver Copper Jade Sapphire


1. They mine 12 different varieties of materials.
2. Each clan mines exactly 4 different varieties of materials
3. Each variety is at least in one clan's mine.
4. Only one variety is in 4 mines.
5. Only in one mine are all 3 kinds of materials.
6. Only in one mine are all 4 varieties of one kind of material.
7. Copper is only in the two border mines.
8. Clan Sontbreuw's mine is in the middle with no Fire Stones.
9. The Salt miners do not mine gems.
10. The Adminantium miners do not mine sapphires
11. Silver miner also mines jade and sapphires.
12. In the first mine are iron and gold.
13. Only in two mines are there gold.
14. Clan IceTouched has gold and obsidion.
15. Strongiron mines exactly two kinds of ore.
16. Cold Ironr is only in two mines.
17. Iron is found in only one mine.
18. Only in one mine next to the Proudaxe is copper mined.
19. Clan Icetouched's mine is not on the border.
20. Stoneblessed mines neither gems nor salt.
21. Clan Stonebreuw mines exactly three kinds of gems.
22. The gold mines are next to each other

First off, the givens:
Clue 08 tells us that Stonebrew is in Mine 3.
Clue 07 tells us that Copper is present in Mine 1 and Mine 5.
Clue 12 tells us that Iron and Gold are in Mine 1. (Along with Copper from Clue 07)

Then, some basic inference:
Clue 22 tells us the gold mines are adjacent: Therefore Mine 2 has Gold.
Clue 14 tells us Clan Icetouched has Gold and Obsidian. They must be in Mine 1 or Mine 2.
Clue 19 tells us Clan Icetouched is not on the border: they cannot be in Mine 1, and must be in Mine 2.
Clue 18 tells us Clan Proudaxe is adjacent to a Copper Mine. They must be in Mine 2 or Mine 4.
-- But Clan Icetouched is in Mine 2, so Proudaxe is in Mine 4.
Clue 15 tells us Clan Strongiron mines two types of ore. Mine 1 has three kinds of ore, so the
Strongiron Clan must be in Mine 5.
As the only clan left, Stoneblessed must be in Mine 1.

Then, something more complex:
Clue 15 again, says Strongiron has two ores. Clue 17 says Iron is only in one mine, and it is in Mine 1. Clue 13 says only two mines have Gold, and it is in Mine 1 and Mine 2. Therefore Strongiron, who already has Copper (Clue 7), MUST also have Silver.
-- As a result, Clue 11 says they also have Jade and Sapphire.


And...here's where I hit a block, for now. Maybe I'll come back to it later.

[dmonkey]

Ga! Well, here's what I've got so far:

Mine 1: Stoneblessed - Copper, Iron, Gold, (Cold Iron/Firestone/Adamantium)
Mine 2: Icetouched - Gold, Obsidian, (Diamonds/Saphire/Jade/Cold Iron/Firestone/Adamantium), (Cold Iron/Firestone/Adamantium)
Mine 3: Stonebrew - Saphire, Jade, Silver, (Diamonds/Obsidian)
Mine 4: Proudaxe - Diamonds, Saphire, Jade, Obisidian or Salt, Cold Iron, Firestone, Adamantium.
Mine 5: Strongiron - Copper, Silver, Jade, Saphire

Notes:
Mine 2 must contain a Rich.
Mine 5 will be all Gems or all Riches
Cold Iron must be in two mines still
Diamonds, Firestone, and Adamantium must be in a mine.

[Krusk]

Mine 5 cannot be all of one type, by definition

Mine 4 is all riches

[dmonkey]

Why is Mine 4 all Riches and not all Gems?

[Krusk]

My solution, feel free to check/argue

Mine 1: Stoneblessed
Iron, Copper, Gold, Adamantium

Mine 2: Icetouched
Gold, Obsidian, Adamantium, Cold Iron

Mine 3: Stonebreu
Diamond, Jade, Obsidian, Adamantium

Mine 4: Proudaxe
Salt, Adamantium, Cold Iron, Fire Stones

Mine 5: Strongiron
Copper, Silver, Sapphire, Jade

[enygmasoul]

Pretty much agrees with my most recent work, which was as follows.
(Bolded information is confirmed, the rest is mere possibilities I was attempting to sort through and eliminate)

Mine 1
Owner : Stoneblessed
Ores : Iron, Copper, Gold
Gems :
Riches : Adamantine, Cold Iron, Fire Stones

Mine 2
Owner : Icetouched
Ores : Gold
Gems : Diamonds, Sapphires, Jade, Obsidian
Riches : Adamantine, Cold Iron, Fire Stones

Mine 3
Owner : Stonebreuw
Gems : Diamonds, Sapphires, Jade, Obsidian
Riches : Adamantine, Cold Iron

Mine 4
Owner : Proudaxe
Riches : Salt, Adamantine, Cold Iron, Fire Stones

Mine 5
Owner : Strongiron
Ores : Copper, Silver
Gems : Sapphires, Jade

[enygmasoul]

Working further, I reached results matching Klivian's.

[dmonkey]

I too have obtained results matching Klivian's. Woot woot!