Ranking at depth 7
Model's reasoning and response:
To solve this problem, we need to evaluate each state against the goal constraints and rank them based on how many constraints are satisfied. The goal state requires:

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**.

Let's evaluate each state:

### State 52
- **Shot1**: Contains **ingredient1**, not a cocktail.
- **Shot2**: Empty, used.
- **Shaker1**: Contains **ingredient2**, unshaken.

**Constraints Satisfied**: None.

### State 55
- **Shot1**: Contains **ingredient1**, not a cocktail.
- **Shot2**: Empty, used.
- **Shaker1**: Contains **ingredient2**, unshaken.

**Constraints Satisfied**: None.

### State 57
- **Shot1**: Empty, used.
- **Shot2**: Contains **ingredient2**, not a cocktail.
- **Shaker1**: Contains **ingredient1**, unshaken.

**Constraints Satisfied**: None.

### State 58
- **Shot1**: Contains **ingredient1**, not a cocktail.
- **Shot2**: Contains **ingredient2**, not a cocktail.
- **Shaker1**: Clean, empty.

**Constraints Satisfied**: None.

### State 59
- **Shot1**: Contains **ingredient1**, not a cocktail.
- **Shot2**: Empty, used.
- **Shaker1**: Contains **ingredient2**, unshaken.

**Constraints Satisfied**: None.

### State 61
- **Shot1**: Empty, used.
- **Shot2**: Clean, empty.
- **Shaker1**: Contains **ingredient1**, unshaken.

**Constraints Satisfied**: None.

### State 63
- **Shot1**: Clean, empty.
- **Shot2**: Clean, empty.
- **Shaker1**: Contains **ingredient1**, unshaken.

**Constraints Satisfied**: None.

Since no state satisfies any of the goal constraints, we need to evaluate how close each state is to satisfying a constraint. The closest states are those where both ingredients are available to be mixed into a cocktail.

### Closeness Evaluation
- **State 58**: Both **Shot1** and **Shot2** contain the necessary ingredients, though not mixed. This state is closest to achieving the goal since both ingredients are ready to be mixed.
- **State 57**: **Shot2** contains **ingredient2** and **Shaker1** contains **ingredient1**. Both ingredients are available but not in the same container.
- **State 59**: Similar to State 57, but **Shot1** contains **ingredient1** and **Shaker1** contains **ingredient2**.
- **State 52** and **State 55**: **Shot1** contains **ingredient1** and **Shaker1** contains **ingredient2**. Both ingredients are available but not in the same container.
- **State 61** and **State 63**: Only one ingredient is in the shaker, and both shots are empty.

### Final Ranking
Based on the closeness to achieving the goal, the ranking is:

```ranking
58, 57, 59, 52, 55, 61, 63
```

This ranking reflects the states' proximity to having both ingredients ready to be mixed into cocktails.

Final ranking:
Rank 1: State ID 58
State Description: - Shot1 is on the table, 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 empty.

Rank 2: State ID 57
State Description: - Shot1 is empty, held by the right hand, and used.- Shot2 is held by the left hand, contains ingredient2, and used.- 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 shot2.- Right hand is holding empty shot1.

Rank 3: State ID 59
State Description: - Shot1 is held by the right hand, contains ingredient1, used.- Shot2 is held by the left hand, 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 holding shot2.- Right hand is holding shot1.

Rank 4: State ID 52
State Description: - Shot1 is held by the left hand, 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 holding shot1.- Right hand is empty.

Rank 5: State ID 55
State Description: - Shot1 is held by the left hand, 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 holding shot1.- Right hand is empty.

Rank 6: State ID 61
State Description: - Shot1 is empty, used, and on the table.- 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 empty.- Right hand is holding empty shot2.

Rank 7: State ID 63
State Description: - Shot1 is clean and empty, placed on the table.- Shot2 is clean, empty, and held by the right hand.- Shot3 is clean and empty, on the table.- Shaker1 contains ingredient1, 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 empty.- Right hand is holding empty shot2.

