Ranking at depth 14
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 constraints are:

1. Shot1 must contain cocktail1, which is the cocktail created by mixing ingredient2 (part1) and ingredient1 (part2).
2. Shot2 must contain cocktail2, which is the cocktail created by mixing ingredient1 (part1) and ingredient2 (part2).

Let's evaluate each state:

### State 44
- **Shot1**: Contains cocktail1. (Constraint 1 satisfied)
- **Shot2**: Clean, empty. (Constraint 2 not satisfied)
- **Shot3**: Contains ingredient1, held by left hand.
- **Shaker1**: Clean, empty.
- **Constraints Satisfied**: 1

### State 45
- **Shot1**: Contains cocktail1. (Constraint 1 satisfied)
- **Shot2**: Clean, empty. (Constraint 2 not satisfied)
- **Shot3**: Empty.
- **Shaker1**: Clean, empty.
- **Constraints Satisfied**: 1

### State 46
- **Shot1**: Contains cocktail1. (Constraint 1 satisfied)
- **Shot2**: Clean, empty. (Constraint 2 not satisfied)
- **Shot3**: Empty.
- **Shaker1**: Empty, clean.
- **Constraints Satisfied**: 1

### State 47
- **Shot1**: Contains cocktail1. (Constraint 1 satisfied)
- **Shot2**: Clean, empty. (Constraint 2 not satisfied)
- **Shot3**: Empty, held by left hand.
- **Shaker1**: Clean.
- **Constraints Satisfied**: 1

### State 51
- **Shot1**: Contains cocktail1. (Constraint 1 satisfied)
- **Shot2**: Clean, empty. (Constraint 2 not satisfied)
- **Shot3**: Empty.
- **Shaker1**: Empty, not clean.
- **Constraints Satisfied**: 1

All states satisfy the first constraint but not the second. Therefore, they are equally close to the goal state. Since no state satisfies both constraints, they are all ranked equally.

```ranking
44, 45, 46, 47, 51
```

Each state satisfies one of the two goal constraints, so they are ranked equally.

Final ranking:
Rank 1: State ID 44
State Description: - Shot1: Contains cocktail1, on the table, no longer clean or empty.- Shot2: Clean, empty, on the table.- Shot3: Contains ingredient1, held by left hand, used.- Shaker1: Clean, empty, at fill level l0, on the table.- Dispenser1: Contains ingredient1 (red).- Dispenser2: Contains ingredient2 (blue).- Left hand: Holding shot3.- Right hand: Empty.- Cocktail1: Now in shot1, defined as mixed from ingredient2 and ingredient1.- Cocktail2: Defined but not yet mixed.

Rank 2: State ID 45
State Description: - Shot1: Contains cocktail1, on the table, not clean, not empty.- Shot2: Clean, empty, on the table.- Shot3: Empty, on the table.- Shaker1: Clean, empty, on the table, not held.- Dispenser1: Contains ingredient1 (red).- Dispenser2: Contains ingredient2 (blue).- Left hand: Empty.- Right hand: Empty.- Cocktail1: Defined by mixing ingredient2 and ingredient1, now in shot1.- Cocktail2: Defined but not yet mixed.

Rank 3: State ID 46
State Description: - Shot1: Contains cocktail1, on the table, not clean, not empty.- Shot2: Clean, empty, on the table.- Shot3: Empty, on the table.- Shaker1: Empty, clean, on the table.- Dispenser1: Contains ingredient1 (red).- Dispenser2: Contains ingredient2 (blue).- Left hand: Empty.- Right hand: Empty.- Cocktail1: Defined by mixing ingredient2 and ingredient1, now in shot1.- Cocktail2: Defined but not yet mixed.

Rank 4: State ID 47
State Description: - Shot1: Contains cocktail1, on the table, not clean, not empty.- Shot2: Clean, empty, on the table.- Shot3: Empty, held by left hand.- Shaker1: Clean, on the table, fill level reset to l0.- Dispenser1: Contains ingredient1 (red).- Dispenser2: Contains ingredient2 (blue).- Left hand: Holding shot3.- Right hand: Empty.- Cocktail1: Defined by mixing ingredient2 and ingredient1, now in shot1.- Cocktail2: Defined but not yet mixed.

Rank 5: State ID 51
State Description: - Shot1: Contains cocktail1, on the table, not clean, not empty.- Shot2: Clean, empty, on the table.- Shot3: Empty, on the table.- Shaker1: Empty, not clean, fill level l0, held by left hand.- Dispenser1: Contains ingredient1 (red).- Dispenser2: Contains ingredient2 (blue).- Left hand: Holding shaker1.- Right hand: Empty.- Cocktail1: Defined by mixing ingredient2 and ingredient1, now in shot1.- Cocktail2: Defined but not yet mixed.

