Ranking at depth 8
Model's reasoning and response:
To solve this problem, we need to evaluate each state against the goal constraints:

**Goal Constraints:**
1. Shot1 must contain cocktail1, which is the cocktail created by mixing ingredient1 and ingredient2.
2. Shot2 must contain cocktail2, which is the cocktail created by mixing ingredient1 and ingredient2.

**Evaluation of Each State:**

1. **State 64:**
   - Shot1 contains ingredient1, not a cocktail.
   - Shot2 is empty.
   - Shaker1 contains ingredient2, not a cocktail.
   - **Constraints Satisfied:** None.

2. **State 65:**
   - Shot1 contains ingredient1, not a cocktail.
   - Shot2 contains ingredient2, not a cocktail.
   - Shaker1 is clean and empty.
   - **Constraints Satisfied:** None.

3. **State 66:**
   - Shot1 contains ingredient1, not a cocktail.
   - Shot2 is empty.
   - Shaker1 contains ingredient2, not a cocktail.
   - **Constraints Satisfied:** None.

4. **State 67:**
   - Shot1 is empty.
   - Shot2 is empty.
   - Shaker1 contains both ingredient1 and ingredient2, but it is unshaken (not a cocktail yet).
   - **Constraints Satisfied:** None.

5. **State 69:**
   - Shot1 is empty.
   - Shot2 is empty.
   - Shaker1 contains both ingredient1 and ingredient2, but it is unshaken (not a cocktail yet).
   - **Constraints Satisfied:** None.

6. **State 70:**
   - Shot1 contains ingredient1, not a cocktail.
   - Shot2 is empty.
   - Shaker1 contains ingredient2, not a cocktail.
   - **Constraints Satisfied:** None.

7. **State 71:**
   - Shot1 is empty.
   - Shot2 is empty.
   - Shaker1 contains both ingredient1 and ingredient2, but it is unshaken (not a cocktail yet).
   - **Constraints Satisfied:** None.

8. **State 72:**
   - Shot1 is empty.
   - Shot2 is empty.
   - Shaker1 contains both ingredient1 and ingredient2, but it is unshaken (not a cocktail yet).
   - **Constraints Satisfied:** None.

**Relative Closeness to Goal:**
- States 67, 69, 71, and 72 have both ingredients in the shaker, which is the closest to forming a cocktail. They are equally close to satisfying the goal constraints.
- States 64, 66, and 70 have only one ingredient in the shaker or shots, which is less close.
- State 65 has both ingredients in separate shots, which is also less close.

**Ranking:**
- Best: States with both ingredients in the shaker (67, 69, 71, 72).
- Next: State with both ingredients in separate shots (65).
- Worst: States with only one ingredient in the shaker or shots (64, 66, 70).

```ranking
67, 69, 71, 72, 65, 64, 66, 70
```

Final ranking:
Rank 1: State ID 67
State Description: - Shot1 is empty, held by the right hand, and used.- Shot2 is empty, held by the left hand, and used.- Shot3 is clean and empty on the table.- Shaker1 contains ingredient1 and ingredient2, is no longer clean, at fill level l2, and unshaken on the table.- Dispenser1 contains ingredient1 (color: red).- Dispenser2 contains ingredient2 (color: blue).- Left hand is holding empty shot2.- Right hand is holding empty shot1.

Rank 2: State ID 69
State Description: - Shot1 is empty, used, held by the right hand.- Shot2 is empty, used, held by the left hand.- Shot3 is clean and empty on the table.- Shaker1 contains ingredient1 and ingredient2, unshaken, at fill level l2, not clean.- Dispenser1 contains ingredient1 (color: red).- Dispenser2 contains ingredient2 (color: blue).- Left hand is holding shot2.- Right hand is holding shot1.

Rank 3: State ID 71
State Description: - Shot1 is empty, used, and held by the left hand.- Shot2 is empty, used, and on the table.- Shot3 is clean and empty on the table.- Shaker1 contains ingredient1 and ingredient2, is used, unshaken, and at fill level l2 on the table.- Dispenser1 contains ingredient1 (color: red).- Dispenser2 contains ingredient2 (color: blue).- Left hand is holding shot1.- Right hand is empty.

Rank 4: State ID 72
State Description: - Shot1 is empty, used, and on the table.- Shot2 is empty, used, and on the table.- Shot3 is clean and empty on the table.- Shaker1 contains ingredient1 and ingredient2, is used, unshaken, and at fill level l2 on the table.- Dispenser1 contains ingredient1 (color: red).- Dispenser2 contains ingredient2 (color: blue).- Left hand is empty.- Right hand is empty.

Rank 5: State ID 65
State Description: - Shot1 is held by the right hand, contains ingredient1, used.- Shot2 is held by the left hand, contains ingredient2, used.- Shot3 is clean and empty on the table.- Shaker1 is clean, empty, and at fill level l0 on the table.- Dispenser1 contains ingredient1 (color: red).- Dispenser2 contains ingredient2 (color: blue).- Left hand is holding shot2.- Right hand is holding shot1.

Rank 6: State ID 64
State Description: - Shot1 is on the table, contains ingredient1, used.- Shot2 is empty, used, and on the table.- Shot3 is clean and empty on the table.- Shaker1 contains ingredient2, used, at fill level l1, and is unshaken.- Dispenser1 contains ingredient1 (color: red).- Dispenser2 contains ingredient2 (color: blue).- Left hand is empty.- Right hand is empty.

Rank 7: State ID 66
State Description: - Shot1 is on the table, contains ingredient1, used.- Shot2 is now empty, held by the left hand, used.- Shot3 is clean and empty on the table.- Shaker1 contains ingredient2, used, unshaken, at fill level l1 on the table.- Dispenser1 contains ingredient1 (color: red).- Dispenser2 contains ingredient2 (color: blue).- Left hand is holding empty and used shot2.- Right hand is empty.

Rank 8: State ID 70
State Description: - Shot1 is held by the right hand, contains ingredient1, used.- Shot2 is on the table, empty, used.- Shot3 is clean and empty on the table.- Shaker1 contains ingredient2, unshaken, at fill level l1, not clean.- Dispenser1 contains ingredient1 (color: red).- Dispenser2 contains ingredient2 (color: blue).- Left hand is empty.- Right hand is holding shot1.

