Ranking at depth 4
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 18
- **Shot1**: Empty and held by the left hand.
- **Shot2**: Clean, empty, and held by the right hand.
- **Shaker1**: Contains ingredient1, used, unshaken, at fill level l1.

**Constraints Satisfied**: None. Shot1 and Shot2 do not contain any cocktails.

### State 21
- **Shot1**: On the table, empty, not clean.
- **Shot2**: Clean and empty on the table.
- **Shaker1**: Contains ingredient2, not clean, at fill level l1, unshaken.

**Constraints Satisfied**: None. Shot1 and Shot2 do not contain any cocktails.

### State 22
- **Shot1**: Held by the left hand, empty, not clean.
- **Shot2**: Held by the right hand, clean, empty.
- **Shaker1**: Contains ingredient2, not clean, at fill level l1, unshaken.

**Constraints Satisfied**: None. Shot1 and Shot2 do not contain any cocktails.

### State 24
- **Shot1**: Held by the left hand, clean, empty.
- **Shot2**: Clean and empty on the table.
- **Shaker1**: Contains ingredient2, not clean, at fill level l1, unshaken.

**Constraints Satisfied**: None. Shot1 and Shot2 do not contain any cocktails.

### State 26
- **Shot1**: On the table, contains ingredient1, used.
- **Shot2**: Held by the right hand, clean, empty.
- **Shaker1**: Clean, empty, at fill level l0.

**Constraints Satisfied**: None. Shot1 contains only ingredient1, not a cocktail.

### State 28
- **Shot1**: On the table, contains ingredient1, used.
- **Shot2**: Held by the left hand, clean, empty.
- **Shaker1**: Clean, empty, at fill level l0.

**Constraints Satisfied**: None. Shot1 contains only ingredient1, not a cocktail.

### State 29
- **Shot1**: Held by the left hand, contains ingredient1, used.
- **Shot2**: Clean and empty on the table.
- **Shaker1**: Clean, empty, at fill level l0.

**Constraints Satisfied**: None. Shot1 contains only ingredient1, not a cocktail.

### Conclusion
None of the states satisfy any of the goal constraints. Therefore, we need to rank them based on how close they are to satisfying a constraint. States 26, 28, and 29 have Shot1 containing ingredient1, which is a step towards creating a cocktail. The other states have empty shots or shots with only ingredient2 in the shaker.

**Ranking based on proximity to goal:**
1. State 26, 28, 29 (Shot1 contains ingredient1)
2. State 18, 21, 22, 24 (No progress towards goal)

```ranking
26, 28, 29, 18, 21, 22, 24
```

Final ranking:
Rank 1: State ID 26
State Description: - Shot1 is on the table, contains ingredient1, and is used.- Shot2 is held by the right hand, is clean, and empty.- 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 empty.- Right hand is holding shot2.

Rank 2: State ID 28
State Description: - Shot1 is on the table, contains ingredient1, used.- Shot2 is held by the left hand, clean, empty.- 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 3: State ID 29
State Description: - Shot1 is held by the left hand, contains ingredient1, used.- Shot2 is clean and empty on the table.- 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 shot1.- Right hand is empty.

Rank 4: State ID 18
State Description: - Shot1 is empty and held by the left hand.- Shot2 is clean, empty, and held by the right hand.- 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 holding empty shot1.- Right hand is holding empty shot2.

Rank 5: State ID 21
State Description: - Shot1 is on the table, empty, and not clean.- Shot2 is clean and empty on the table.- Shot3 is clean and empty on the table.- Shaker1 is on the table, contains ingredient2, not clean, at fill level l1, and unshaken.- Dispenser1 contains ingredient1 (color: red).- Dispenser2 contains ingredient2 (color: blue).- Left hand is empty.- Right hand is empty.

Rank 6: State ID 22
State Description: - Shot1 is held by the left hand, empty, and not clean.- Shot2 is held by the right hand, clean, and empty.- Shot3 is clean and empty on the table.- Shaker1 is on the table, contains ingredient2, not clean, at fill level l1, and unshaken.- Dispenser1 contains ingredient1 (color: red).- Dispenser2 contains ingredient2 (color: blue).- Left hand is holding shot1, empty.- Right hand is holding shot2, empty.

Rank 7: State ID 24
State Description: - Shot1 is held by the left hand, now clean and empty.- Shot2 is clean and empty on the table.- Shot3 is clean and empty on the table.- Shaker1 is on the table, contains ingredient2, not clean, at fill level l1, and unshaken.- Dispenser1 contains ingredient1 (color: red).- Dispenser2 contains ingredient2 (color: blue).- Left hand is holding shot1, clean, empty.- Right hand is empty.

