Ranking at depth 6
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 (part1) and ingredient2 (part2).
2. Shot2 must contain cocktail2, which is the cocktail created by mixing ingredient1 (part1) and ingredient2 (part2).

**Evaluation of Each State:**

1. **State ID: 42**
   - Shot1 is empty and used.
   - Shot2 is clean and empty.
   - Shaker1 contains ingredient1.
   - **Constraints Satisfied:** None. Neither shot contains a cocktail.

2. **State ID: 44**
   - Shot1 is clean and empty.
   - Shot2 is clean and empty.
   - Shaker1 contains ingredient1.
   - **Constraints Satisfied:** None. Neither shot contains a cocktail.

3. **State ID: 45**
   - Shot1 is empty and used.
   - Shot2 contains ingredient2 and is used.
   - Shaker1 contains ingredient1.
   - **Constraints Satisfied:** None. Neither shot contains a cocktail.

4. **State ID: 47**
   - Shot1 contains ingredient1 and is used.
   - Shot2 is empty and used.
   - Shaker1 contains ingredient2.
   - **Constraints Satisfied:** None. Neither shot contains a cocktail.

5. **State ID: 49**
   - Shot1 contains ingredient1 and is used.
   - Shot2 is empty and used.
   - Shaker1 contains ingredient2.
   - **Constraints Satisfied:** None. Neither shot contains a cocktail.

6. **State ID: 50**
   - Shot1 contains ingredient1 and is used.
   - Shot2 contains ingredient2 and is used.
   - Shaker1 is clean and empty.
   - **Constraints Satisfied:** None. Neither shot contains a cocktail.

**Relative Closeness to Goal:**
- States 47, 49, and 50 have both ingredients available in shots, but they are not mixed into a cocktail.
- States 42, 44, and 45 have only one ingredient in a shot or none.

**Ranking:**
- **Best:** States 47, 49, and 50 (both ingredients are available in shots, closer to mixing).
- **Worst:** States 42, 44, and 45 (less progress towards mixing).

```ranking
47, 49, 50, 42, 44, 45
```

Final ranking:
Rank 1: State ID 47
State Description: - Shot1 is on the table, contains ingredient1, and is used.- Shot2 is empty, used, and on the table.- Shot3 is clean and empty on the table.- Shaker1 contains ingredient2, is used, unshaken, and at fill level l1 on the table.- Dispenser1 contains ingredient1 (color: red).- Dispenser2 contains ingredient2 (color: blue).- Left hand is empty.- Right hand is empty.

Rank 2: State ID 49
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 3: State ID 50
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 4: State ID 42
State Description: - Shot1 is empty and held by the left hand, used.- Shot2 is clean, empty, and held by the right hand.- Shot3 is clean and empty on the table.- Shaker1 contains ingredient1, is no longer clean, at fill level l1, and unshaken on the table.- Dispenser1 contains ingredient1 (color: red).- Dispenser2 contains ingredient2 (color: blue).- Left hand is holding empty shot1.- Right hand is holding empty shot2.

Rank 5: State ID 44
State Description: - Shot1 is clean, held by the left hand, and empty.- Shot2 is clean and empty on the table.- Shot3 is clean and empty on the table.- Shaker1 contains ingredient1, is no longer clean, at fill level l1, and unshaken on the table.- Dispenser1 contains ingredient1 (color: red).- Dispenser2 contains ingredient2 (color: blue).- Left hand is holding clean shot1.- Right hand is empty.

Rank 6: State ID 45
State Description: - Shot1 is on the table, empty, and used.- Shot2 is held by the right hand, contains ingredient2, and is used.- Shot3 is clean and empty on the table.- Shaker1 contains ingredient1, is used, unshaken, and at fill level l1 on the table.- Dispenser1 contains ingredient1 (color: red).- Dispenser2 contains ingredient2 (color: blue).- Left hand is empty.- Right hand is holding shot2 with ingredient2.

