[22:35:39] ╭──────────────────────────────────────────────────────────────────────────────────────────── 🤖 Prompt: ────────────────────────────────────────────────────────────────────────────────────────────╮ utils.py:24
           │ Write Python code that extends the `Module` class below to complete the following task.                                                                                                            │
           │                                                                                                                                                                                                    │
           │ > You may recall the puzzle of a ferryman, goat, cabbage, and wolf all on one side of a river. The ferryman can cross the river with at most one passenger in his boat. There is a behavioural     │
           │ conflict between: 1. the goat and the cabbage; and 2. the goat and the wolf; if they are on the same river bank but the ferryman crosses the river or stays on the other bank. We wish to know how │
           │ the ferryman can transport all goods to the other side, without any conflicts occurring. Build a model in which the states represent which goods are at which side of the river. Your model will   │
           │ need to have variables representing the location of the ferryman, the goat, the cabbage and the wolf and a variable that indicates what is being carried in the ferry. Define a goal state in      │
           │ which all goods are on the other side of the river. Write a property which checks whether this goal state is reachable without any conflicts occurring. Use the variable names ferryman, goat,     │
           │ cabbage, wolf and carry.                                                                                                                                                                           │
           │                                                                                                                                                                                                    │
           │ Reply with your Python code inside one unique code block.                                                                                                                                          │
           │                                                                                                                                                                                                    │
           │ ```python                                                                                                                                                                                          │
           │ class Module:                                                                                                                                                                                      │
           │     """An abstract class to represent a UCLID5 module."""                                                                                                                                          │
           │                                                                                                                                                                                                    │
           │     def types(self):                                                                                                                                                                               │
           │         """(Optional) Defines the type declarations.                                                                                                                                               │
           │         For example, the following implementation defines a 8-bit type called T:                                                                                                                   │
           │         ```                                                                                                                                                                                        │
           │         def types(self):                                                                                                                                                                           │
           │             self.T = BitVector(8)                                                                                                                                                                  │
           │         ```                                                                                                                                                                                        │
           │         """                                                                                                                                                                                        │
           │         pass                                                                                                                                                                                       │
           │                                                                                                                                                                                                    │
           │     def locals(self):                                                                                                                                                                              │
           │         """(Optional) Defines the local variables and their types.                                                                                                                                 │
           │         For example, the following implementation defines an 8-bit variable x                                                                                                                      │
           │         and an integer variable y:                                                                                                                                                                 │
           │         ```                                                                                                                                                                                        │
           │         def locals(self):                                                                                                                                                                          │
           │             self.x = BitVector(8)                                                                                                                                                                  │
           │             self.y = Integer()                                                                                                                                                                     │
           │         ```                                                                                                                                                                                        │
           │         """                                                                                                                                                                                        │
           │         pass                                                                                                                                                                                       │
           │                                                                                                                                                                                                    │
           │     def inputs(self):                                                                                                                                                                              │
           │         """(Optional) Defines the input variables and their types.                                                                                                                                 │
           │         For example, the following implementation defines an input variable x,                                                                                                                     │
           │         which is an array of 8-bit bitvectors indexed by 2-bit bitvectors:                                                                                                                         │
           │         ```                                                                                                                                                                                        │
           │         def inputs(self):                                                                                                                                                                          │
           │             self.x = Array(BitVector(2), BitVector(8))                                                                                                                                             │
           │         ```                                                                                                                                                                                        │
           │         """                                                                                                                                                                                        │
           │         pass                                                                                                                                                                                       │
           │                                                                                                                                                                                                    │
           │     def outputs(self):                                                                                                                                                                             │
           │         """(Optional) Defines the output variables and their types.                                                                                                                                │
           │         For example, the following implementation defines an output variable y,                                                                                                                    │
           │         which is a real number:                                                                                                                                                                    │
           │         ```                                                                                                                                                                                        │
           │         def outputs(self):                                                                                                                                                                         │
           │             self.y = Real()                                                                                                                                                                        │
           │         ```                                                                                                                                                                                        │
           │         """                                                                                                                                                                                        │
           │         pass                                                                                                                                                                                       │
           │                                                                                                                                                                                                    │
           │     def shared_vars(self):                                                                                                                                                                         │
           │         """(Optional) Defines the shared variables and their types.                                                                                                                                │
           │         For example, the following implementation defines a shared variable z,                                                                                                                     │
           │         which is an array of booleans indexed by integers:                                                                                                                                         │
           │         ```                                                                                                                                                                                        │
           │         def shared_vars(self):                                                                                                                                                                     │
           │             self.z = Array(Integer(), Boolean())                                                                                                                                                   │
           │         ```                                                                                                                                                                                        │
           │         """                                                                                                                                                                                        │
           │         pass                                                                                                                                                                                       │
           │                                                                                                                                                                                                    │
           │     def instances(self):                                                                                                                                                                           │
           │         """(Optional) Defines the instances of other modules and relates their                                                                                                                     │
           │         input, output, and shared variables to local variables. Every instance                                                                                                                     │
           │         variable must be related to a local variable. For example, let M be                                                                                                                        │
           │         another module with inputs x and y, and output z. The following                                                                                                                            │
           │         implementation defines an instance of M called m, and connects M's                                                                                                                         │
           │         input variable x to the local variable self.a, M's input variable y to                                                                                                                     │
           │         the local variable self.b, and M's output variable z to the local                                                                                                                          │
           │         variable self.c:                                                                                                                                                                           │
           │         ```                                                                                                                                                                                        │
           │         def instances(self):                                                                                                                                                                       │
           │             self.m = M(x=self.a, y=self.b, z=self.c)                                                                                                                                               │
           │         ```                                                                                                                                                                                        │
           │         """                                                                                                                                                                                        │
           │         pass                                                                                                                                                                                       │
           │                                                                                                                                                                                                    │
           │     def init(self):                                                                                                                                                                                │
           │         """(Optional) Defines how variables are initialized.                                                                                                                                       │
           │         For example, the following implementation initializes x to 0 if y is                                                                                                                       │
           │         greater than or equal to 20:                                                                                                                                                               │
           │         ```                                                                                                                                                                                        │
           │         def init(self):                                                                                                                                                                            │
           │             if self.y >= 20:                                                                                                                                                                       │
           │                 self.x = 0                                                                                                                                                                         │
           │         ```                                                                                                                                                                                        │
           │         """                                                                                                                                                                                        │
           │         pass                                                                                                                                                                                       │
           │                                                                                                                                                                                                    │
           │     def next(self):                                                                                                                                                                                │
           │         """(Optional) Defines the transition relation.                                                                                                                                             │
           │         For example, the following implementation increments x or decrements y                                                                                                                     │
           │         depending on z:                                                                                                                                                                            │
           │         ```                                                                                                                                                                                        │
           │         def next(self):                                                                                                                                                                            │
           │             if self.z:                                                                                                                                                                             │
           │                 self.x = self.x + 1                                                                                                                                                                │
           │             else:                                                                                                                                                                                  │
           │                 self.y = self.y - 1                                                                                                                                                                │
           │         ```                                                                                                                                                                                        │
           │         """                                                                                                                                                                                        │
           │         pass                                                                                                                                                                                       │
           │                                                                                                                                                                                                    │
           │     def specification(self):                                                                                                                                                                       │
           │         """(Optional) Defines the specification in terms of invariant properties.                                                                                                                  │
           │                                                                                                                                                                                                    │
           │         Returns:                                                                                                                                                                                   │
           │             bool: True if the specification is satisfied, False otherwise.                                                                                                                         │
           │                                                                                                                                                                                                    │
           │         For example, the following implementation defines two invariants:                                                                                                                          │
           │         ```                                                                                                                                                                                        │
           │         def specification(self):                                                                                                                                                                   │
           │             return self.x < 10 and self.y > 0                                                                                                                                                      │
           │         """                                                                                                                                                                                        │
           │         pass                                                                                                                                                                                       │
           │                                                                                                                                                                                                    │
           │     def proof(self):                                                                                                                                                                               │
           │         """(Optional) Defines the control block.                                                                                                                                                   │
           │         For example, the following implementation uses 1-induction to prove                                                                                                                        │
           │         that the specification always holds:                                                                                                                                                       │
           │         ```                                                                                                                                                                                        │
           │         def proof(self):                                                                                                                                                                           │
           │             induction(1)                                                                                                                                                                           │
           │         ```                                                                                                                                                                                        │
           │         """                                                                                                                                                                                        │
           │         pass                                                                                                                                                                                       │
           │ ```                                                                                                                                                                                                │
           │                                                                                                                                                                                                    │
           │ I can definitely do that! Here is the Python code:                                                                                                                                                 │
           │ ```python                                                                                                                                                                                          │
           │                                                                                                                                                                                                    │
           ╰────────────────────────────────────────────────────────────────────────────────────────────────────────────────────────────────────────────────────────────────────────────────────────────────────╯
[22:36:01] ╭─────────────────────────────────────────────────────────────────────────────────────────── 🧠 Response: ───────────────────────────────────────────────────────────────────────────────────────────╮ utils.py:42
           │ ```python                                                                                                                                                                                          │
           │ class RiverCrossingModule(Module):                                                                                                                                                                 │
           │     def types(self):                                                                                                                                                                               │
           │         # Define the possible locations for each actor and actions                                                                                                                                 │
           │         # 0 represents one side of the river, 1 represents the other side                                                                                                                          │
           │         self.Location = Enum('RiverSide', ['oneSide', 'otherSide'])                                                                                                                                │
           │                                                                                                                                                                                                    │
           │     def locals(self):                                                                                                                                                                              │
           │         # Define the locations of the ferryman, goat, cabbage, and wolf                                                                                                                            │
           │         self.ferryman = self.Location()                                                                                                                                                            │
           │         self.goat = self.Location()                                                                                                                                                                │
           │         self.cabbage = self.Location()                                                                                                                                                             │
           │         self.wolf = self.Location()                                                                                                                                                                │
           │         # Define what can be carried in the ferry (none, goat, cabbage, or wolf)                                                                                                                   │
           │         self.carry = Enum('Carrying', ['none', 'goat', 'cabbage', 'wolf'])                                                                                                                         │
           │                                                                                                                                                                                                    │
           │     def init(self):                                                                                                                                                                                │
           │         # Initial state where everyone is on one side and nothing is carried                                                                                                                       │
           │         self.ferryman = 'oneSide'                                                                                                                                                                  │
           │         self.goat = 'oneSide'                                                                                                                                                                      │
           │         self.cabbage = 'oneSide'                                                                                                                                                                   │
           │         self.wolf = 'oneSide'                                                                                                                                                                      │
           │         self.carry = 'none'                                                                                                                                                                        │
           │                                                                                                                                                                                                    │
           │     def next(self):                                                                                                                                                                                │
           │         # Define the state transition based on the ferryman's actions                                                                                                                              │
           │         if self.carry == 'none':                                                                                                                                                                   │
           │             self.ferryman = self.Location.flip(self.ferryman)                                                                                                                                      │
           │         elif self.carry == 'goat':                                                                                                                                                                 │
           │             self.ferryman = self.goat = self.Location.flip(self.ferryman)                                                                                                                          │
           │         elif self.carry == 'cabbage':                                                                                                                                                              │
           │             self.ferryman = self.cabbage = self.Location.flip(self.ferryman)                                                                                                                       │
           │         elif self.carry == 'wolf':                                                                                                                                                                 │
           │             self.ferryman = self.wolf = self.Location.flip(self.ferryman)                                                                                                                          │
           │                                                                                                                                                                                                    │
           │         # Ensure no invalid state: no crossing if unallowed combination at a bank                                                                                                                  │
           │         invalid_states = ((self.goat == self.cabbage) and (self.goat != self.ferryman)) \                                                                                                          │
           │             or ((self.goat == self.wolf) and (self.goat != self.ferryman))                                                                                                                         │
           │                                                                                                                                                                                                    │
           │         if invalid_states:                                                                                                                                                                         │
           │             self.ferryman = 'oneSide'  # Reset to an error state or handle appropriately                                                                                                           │
           │                                                                                                                                                                                                    │
           │     def specification(self):                                                                                                                                                                       │
           │         # Check if the goal state is reached where everyone is on the other side                                                                                                                   │
           │         all_crossed = self.ferryman == 'otherSide' and \                                                                                                                                           │
           │                       self.goat == 'otherSide' and \                                                                                                                                               │
           │                       self.cabbage == 'otherSide' and \                                                                                                                                            │
           │                       self.wolf == 'otherSide'                                                                                                                                                     │
           │         return all_crossed                                                                                                                                                                         │
           │                                                                                                                                                                                                    │
           │     def proof(self):                                                                                                                                                                               │
           │         # Proof method is generally more complex than a simple function, involving                                                                                                                 │
           │         # state-space exploration, SAT solving, etc. A placeholder for now.                                                                                                                        │
           │         assert self.specification(), "The solution should ensure all get to the other side safely."                                                                                                │
           │ ```                                                                                                                                                                                                │
           │                                                                                                                                                                                                    │
           │ This Python class `RiverCrossingModule` extends the `Module` abstract class to simulate the classic river crossing puzzle you described. It maintains states for all the characters (ferryman,     │
           │ goat, cabbage, wolf) and defines transitions to move each element across the river. The `specification` method verifies if everyone has successfully crossed to the opposite side while avoiding   │
           │ any conflicts. Meanwhile, the exact definition of `proof` could be complex in terms of SAT solving or state-space exploration but here, it's just a skeleton asserting our `specification` as a    │
           │ final guard.                                                                                                                                                                                       │
           ╰────────────────────────────────────────────────────────────────────────────────────────────────────────────────────────────────────────────────────────────────────────────────────────────────────╯
           ╭─────────────────────────────────────────── 🤖 Extracted: ───────────────────────────────────────────╮                                                                                                utils.py:24
           │                                                                                                     │
           │ class RiverCrossingModule(Module):                                                                  │
           │     def types(self):                                                                                │
           │         # Define the possible locations for each actor and actions                                  │
           │         # 0 represents one side of the river, 1 represents the other side                           │
           │         self.Location = Enum('RiverSide', ['oneSide', 'otherSide'])                                 │
           │                                                                                                     │
           │     def locals(self):                                                                               │
           │         # Define the locations of the ferryman, goat, cabbage, and wolf                             │
           │         self.ferryman = self.Location()                                                             │
           │         self.goat = self.Location()                                                                 │
           │         self.cabbage = self.Location()                                                              │
           │         self.wolf = self.Location()                                                                 │
           │         # Define what can be carried in the ferry (none, goat, cabbage, or wolf)                    │
           │         self.carry = Enum('Carrying', ['none', 'goat', 'cabbage', 'wolf'])                          │
           │                                                                                                     │
           │     def init(self):                                                                                 │
           │         # Initial state where everyone is on one side and nothing is carried                        │
           │         self.ferryman = 'oneSide'                                                                   │
           │         self.goat = 'oneSide'                                                                       │
           │         self.cabbage = 'oneSide'                                                                    │
           │         self.wolf = 'oneSide'                                                                       │
           │         self.carry = 'none'                                                                         │
           │                                                                                                     │
           │     def next(self):                                                                                 │
           │         # Define the state transition based on the ferryman's actions                               │
           │         if self.carry == 'none':                                                                    │
           │             self.ferryman = self.Location.flip(self.ferryman)                                       │
           │         elif self.carry == 'goat':                                                                  │
           │             self.ferryman = self.goat = self.Location.flip(self.ferryman)                           │
           │         elif self.carry == 'cabbage':                                                               │
           │             self.ferryman = self.cabbage = self.Location.flip(self.ferryman)                        │
           │         elif self.carry == 'wolf':                                                                  │
           │             self.ferryman = self.wolf = self.Location.flip(self.ferryman)                           │
           │                                                                                                     │
           │         # Ensure no invalid state: no crossing if unallowed combination at a bank                   │
           │         invalid_states = ((self.goat == self.cabbage) and (self.goat != self.ferryman)) \           │
           │             or ((self.goat == self.wolf) and (self.goat != self.ferryman))                          │
           │                                                                                                     │
           │         if invalid_states:                                                                          │
           │             self.ferryman = 'oneSide'  # Reset to an error state or handle appropriately            │
           │                                                                                                     │
           │     def specification(self):                                                                        │
           │         # Check if the goal state is reached where everyone is on the other side                    │
           │         all_crossed = self.ferryman == 'otherSide' and \                                            │
           │                       self.goat == 'otherSide' and \                                                │
           │                       self.cabbage == 'otherSide' and \                                             │
           │                       self.wolf == 'otherSide'                                                      │
           │         return all_crossed                                                                          │
           │                                                                                                     │
           │     def proof(self):                                                                                │
           │         # Proof method is generally more complex than a simple function, involving                  │
           │         # state-space exploration, SAT solving, etc. A placeholder for now.                         │
           │         assert self.specification(), "The solution should ensure all get to the other side safely." │
           ╰─────────────────────────────────────────────────────────────────────────────────────────────────────╯
[22:36:02] ╭────────────────────────────────────────────────────────────────────── 🤖 Repaired: ───────────────────────────────────────────────────────────────────────╮                                          utils.py:24
           │ class RiverCrossingModule(Module):                                                                                                                        │
           │   def types(self):                                                                                                                                        │
           │     self.Location = Enum("oneSide", "otherSide")                                                                                                          │
           │                                                                                                                                                           │
           │   def locals(self):                                                                                                                                       │
           │     self.invalid_states = bool                                                                                                                            │
           │     self.ferryman = self.Location                                                                                                                         │
           │     self.goat = self.Location                                                                                                                             │
           │     self.cabbage = self.Location                                                                                                                          │
           │     self.wolf = self.Location                                                                                                                             │
           │     self.carry = Enum("cabbage", "goat", "none", "wolf")                                                                                                  │
           │                                                                                                                                                           │
           │   def init(self):                                                                                                                                         │
           │     self.ferryman = "oneSide"                                                                                                                             │
           │     self.goat = "oneSide"                                                                                                                                 │
           │     self.cabbage = "oneSide"                                                                                                                              │
           │     self.wolf = "oneSide"                                                                                                                                 │
           │     self.carry = "none"                                                                                                                                   │
           │                                                                                                                                                           │
           │   def next(self):                                                                                                                                         │
           │     if (self.carry == "none"):                                                                                                                            │
           │       ??                                                                                                                                                  │
           │     else:                                                                                                                                                 │
           │       if (self.carry == ??):                                                                                                                              │
           │         ??                                                                                                                                                │
           │       else:                                                                                                                                               │
           │         if (self.carry == ??):                                                                                                                            │
           │           ??                                                                                                                                              │
           │         else:                                                                                                                                             │
           │           if (self.carry == ??):                                                                                                                          │
           │             ??                                                                                                                                            │
           │     self.invalid_states = (((self.goat == self.cabbage) and (self.goat != self.ferryman)) or ((self.goat == self.wolf) and (self.goat != self.ferryman))) │
           │     if self.invalid_states:                                                                                                                               │
           │       self.ferryman = "oneSide"                                                                                                                           │
           │                                                                                                                                                           │
           │   def proof(self):                                                                                                                                        │
           │     ??                                                                                                                                                    │
           │                                                                                                                                                           │
           │                                                                                                                                                           │
           ╰───────────────────────────────────────────────────────────────────────────────────────────────────────────────────────────────────────────────────────────╯
           ╭──────────────────────────────────────────────────────────────────────────────────────────── 🤖 Prompt: ────────────────────────────────────────────────────────────────────────────────────────────╮ utils.py:24
           │                                                                                                                                                                                                    │
           │ Fix the following Python code by replacing every occurrence of `??` with the correct code.                                                                                                         │
           │ ```python                                                                                                                                                                                          │
           │ class RiverCrossingModule(Module):                                                                                                                                                                 │
           │   def types(self):                                                                                                                                                                                 │
           │     self.Location = Enum("oneSide", "otherSide")                                                                                                                                                   │
           │                                                                                                                                                                                                    │
           │   def locals(self):                                                                                                                                                                                │
           │     self.invalid_states = bool                                                                                                                                                                     │
           │     self.ferryman = self.Location                                                                                                                                                                  │
           │     self.goat = self.Location                                                                                                                                                                      │
           │     self.cabbage = self.Location                                                                                                                                                                   │
           │     self.wolf = self.Location                                                                                                                                                                      │
           │     self.carry = Enum("cabbage", "goat", "none", "wolf")                                                                                                                                           │
           │                                                                                                                                                                                                    │
           │   def init(self):                                                                                                                                                                                  │
           │     self.ferryman = "oneSide"                                                                                                                                                                      │
           │     self.goat = "oneSide"                                                                                                                                                                          │
           │     self.cabbage = "oneSide"                                                                                                                                                                       │
           │     self.wolf = "oneSide"                                                                                                                                                                          │
           │     self.carry = "none"                                                                                                                                                                            │
           │                                                                                                                                                                                                    │
           │   def next(self):                                                                                                                                                                                  │
           │     if (self.carry == "none"):                                                                                                                                                                     │
           │       ??                                                                                                                                                                                           │
           │     else:                                                                                                                                                                                          │
           │       if (self.carry == ??):                                                                                                                                                                       │
           │         ??                                                                                                                                                                                         │
           │       else:                                                                                                                                                                                        │
           │         if (self.carry == ??):                                                                                                                                                                     │
           │           ??                                                                                                                                                                                       │
           │         else:                                                                                                                                                                                      │
           │           if (self.carry == ??):                                                                                                                                                                   │
           │             ??                                                                                                                                                                                     │
           │     self.invalid_states = (((self.goat == self.cabbage) and (self.goat != self.ferryman)) or ((self.goat == self.wolf) and (self.goat != self.ferryman)))                                          │
           │     if self.invalid_states:                                                                                                                                                                        │
           │       self.ferryman = "oneSide"                                                                                                                                                                    │
           │                                                                                                                                                                                                    │
           │   def proof(self):                                                                                                                                                                                 │
           │     ??                                                                                                                                                                                             │
           │                                                                                                                                                                                                    │
           │                                                                                                                                                                                                    │
           │ ```                                                                                                                                                                                                │
           │ Make sure that your code extends the `Module` class below and that it completes the following task.                                                                                                │
           │                                                                                                                                                                                                    │
           │ > You may recall the puzzle of a ferryman, goat, cabbage, and wolf all on one side of a river. The ferryman can cross the river with at most one passenger in his boat. There is a behavioural     │
           │ conflict between: 1. the goat and the cabbage; and 2. the goat and the wolf; if they are on the same river bank but the ferryman crosses the river or stays on the other bank. We wish to know how │
           │ the ferryman can transport all goods to the other side, without any conflicts occurring. Build a model in which the states represent which goods are at which side of the river. Your model will   │
           │ need to have variables representing the location of the ferryman, the goat, the cabbage and the wolf and a variable that indicates what is being carried in the ferry. Define a goal state in      │
           │ which all goods are on the other side of the river. Write a property which checks whether this goal state is reachable without any conflicts occurring. Use the variable names ferryman, goat,     │
           │ cabbage, wolf and carry.                                                                                                                                                                           │
           │                                                                                                                                                                                                    │
           │ Reply with your Python code inside one unique code block.                                                                                                                                          │
           │                                                                                                                                                                                                    │
           │ ```python                                                                                                                                                                                          │
           │ class Module:                                                                                                                                                                                      │
           │     """An abstract class to represent a UCLID5 module."""                                                                                                                                          │
           │                                                                                                                                                                                                    │
           │     def types(self):                                                                                                                                                                               │
           │         """(Optional) Defines the type declarations.                                                                                                                                               │
           │         For example, the following implementation defines a 8-bit type called T:                                                                                                                   │
           │         ```                                                                                                                                                                                        │
           │         def types(self):                                                                                                                                                                           │
           │             self.T = BitVector(8)                                                                                                                                                                  │
           │         ```                                                                                                                                                                                        │
           │         """                                                                                                                                                                                        │
           │         pass                                                                                                                                                                                       │
           │                                                                                                                                                                                                    │
           │     def locals(self):                                                                                                                                                                              │
           │         """(Optional) Defines the local variables and their types.                                                                                                                                 │
           │         For example, the following implementation defines an 8-bit variable x                                                                                                                      │
           │         and an integer variable y:                                                                                                                                                                 │
           │         ```                                                                                                                                                                                        │
           │         def locals(self):                                                                                                                                                                          │
           │             self.x = BitVector(8)                                                                                                                                                                  │
           │             self.y = Integer()                                                                                                                                                                     │
           │         ```                                                                                                                                                                                        │
           │         """                                                                                                                                                                                        │
           │         pass                                                                                                                                                                                       │
           │                                                                                                                                                                                                    │
           │     def inputs(self):                                                                                                                                                                              │
           │         """(Optional) Defines the input variables and their types.                                                                                                                                 │
           │         For example, the following implementation defines an input variable x,                                                                                                                     │
           │         which is an array of 8-bit bitvectors indexed by 2-bit bitvectors:                                                                                                                         │
           │         ```                                                                                                                                                                                        │
           │         def inputs(self):                                                                                                                                                                          │
           │             self.x = Array(BitVector(2), BitVector(8))                                                                                                                                             │
           │         ```                                                                                                                                                                                        │
           │         """                                                                                                                                                                                        │
           │         pass                                                                                                                                                                                       │
           │                                                                                                                                                                                                    │
           │     def outputs(self):                                                                                                                                                                             │
           │         """(Optional) Defines the output variables and their types.                                                                                                                                │
           │         For example, the following implementation defines an output variable y,                                                                                                                    │
           │         which is a real number:                                                                                                                                                                    │
           │         ```                                                                                                                                                                                        │
           │         def outputs(self):                                                                                                                                                                         │
           │             self.y = Real()                                                                                                                                                                        │
           │         ```                                                                                                                                                                                        │
           │         """                                                                                                                                                                                        │
           │         pass                                                                                                                                                                                       │
           │                                                                                                                                                                                                    │
           │     def shared_vars(self):                                                                                                                                                                         │
           │         """(Optional) Defines the shared variables and their types.                                                                                                                                │
           │         For example, the following implementation defines a shared variable z,                                                                                                                     │
           │         which is an array of booleans indexed by integers:                                                                                                                                         │
           │         ```                                                                                                                                                                                        │
           │         def shared_vars(self):                                                                                                                                                                     │
           │             self.z = Array(Integer(), Boolean())                                                                                                                                                   │
           │         ```                                                                                                                                                                                        │
           │         """                                                                                                                                                                                        │
           │         pass                                                                                                                                                                                       │
           │                                                                                                                                                                                                    │
           │     def instances(self):                                                                                                                                                                           │
           │         """(Optional) Defines the instances of other modules and relates their                                                                                                                     │
           │         input, output, and shared variables to local variables. Every instance                                                                                                                     │
           │         variable must be related to a local variable. For example, let M be                                                                                                                        │
           │         another module with inputs x and y, and output z. The following                                                                                                                            │
           │         implementation defines an instance of M called m, and connects M's                                                                                                                         │
           │         input variable x to the local variable self.a, M's input variable y to                                                                                                                     │
           │         the local variable self.b, and M's output variable z to the local                                                                                                                          │
           │         variable self.c:                                                                                                                                                                           │
           │         ```                                                                                                                                                                                        │
           │         def instances(self):                                                                                                                                                                       │
           │             self.m = M(x=self.a, y=self.b, z=self.c)                                                                                                                                               │
           │         ```                                                                                                                                                                                        │
           │         """                                                                                                                                                                                        │
           │         pass                                                                                                                                                                                       │
           │                                                                                                                                                                                                    │
           │     def init(self):                                                                                                                                                                                │
           │         """(Optional) Defines how variables are initialized.                                                                                                                                       │
           │         For example, the following implementation initializes x to 0 if y is                                                                                                                       │
           │         greater than or equal to 20:                                                                                                                                                               │
           │         ```                                                                                                                                                                                        │
           │         def init(self):                                                                                                                                                                            │
           │             if self.y >= 20:                                                                                                                                                                       │
           │                 self.x = 0                                                                                                                                                                         │
           │         ```                                                                                                                                                                                        │
           │         """                                                                                                                                                                                        │
           │         pass                                                                                                                                                                                       │
           │                                                                                                                                                                                                    │
           │     def next(self):                                                                                                                                                                                │
           │         """(Optional) Defines the transition relation.                                                                                                                                             │
           │         For example, the following implementation increments x or decrements y                                                                                                                     │
           │         depending on z:                                                                                                                                                                            │
           │         ```                                                                                                                                                                                        │
           │         def next(self):                                                                                                                                                                            │
           │             if self.z:                                                                                                                                                                             │
           │                 self.x = self.x + 1                                                                                                                                                                │
           │             else:                                                                                                                                                                                  │
           │                 self.y = self.y - 1                                                                                                                                                                │
           │         ```                                                                                                                                                                                        │
           │         """                                                                                                                                                                                        │
           │         pass                                                                                                                                                                                       │
           │                                                                                                                                                                                                    │
           │     def specification(self):                                                                                                                                                                       │
           │         """(Optional) Defines the specification in terms of invariant properties.                                                                                                                  │
           │                                                                                                                                                                                                    │
           │         Returns:                                                                                                                                                                                   │
           │             bool: True if the specification is satisfied, False otherwise.                                                                                                                         │
           │                                                                                                                                                                                                    │
           │         For example, the following implementation defines two invariants:                                                                                                                          │
           │         ```                                                                                                                                                                                        │
           │         def specification(self):                                                                                                                                                                   │
           │             return self.x < 10 and self.y > 0                                                                                                                                                      │
           │         """                                                                                                                                                                                        │
           │         pass                                                                                                                                                                                       │
           │                                                                                                                                                                                                    │
           │     def proof(self):                                                                                                                                                                               │
           │         """(Optional) Defines the control block.                                                                                                                                                   │
           │         For example, the following implementation uses 1-induction to prove                                                                                                                        │
           │         that the specification always holds:                                                                                                                                                       │
           │         ```                                                                                                                                                                                        │
           │         def proof(self):                                                                                                                                                                           │
           │             induction(1)                                                                                                                                                                           │
           │         ```                                                                                                                                                                                        │
           │         """                                                                                                                                                                                        │
           │         pass                                                                                                                                                                                       │
           │ ```                                                                                                                                                                                                │
           │                                                                                                                                                                                                    │
           │ I can definitely do that! Here is the fixed Python code:                                                                                                                                           │
           │ ```python                                                                                                                                                                                          │
           │                                                                                                                                                                                                    │
           ╰────────────────────────────────────────────────────────────────────────────────────────────────────────────────────────────────────────────────────────────────────────────────────────────────────╯
[22:36:20] ╭─────────────────────────────────────────────────────────────────────────────────────────── 🧠 Response: ───────────────────────────────────────────────────────────────────────────────────────────╮ utils.py:42
           │ ```python                                                                                                                                                                                          │
           │ class Module:                                                                                                                                                                                      │
           │     """An abstract class to represent a UCLID5 module."""                                                                                                                                          │
           │     def types(self):                                                                                                                                                                               │
           │         pass                                                                                                                                                                                       │
           │     def locals(self):                                                                                                                                                                              │
           │         pass                                                                                                                                                                                       │
           │     def inputs(self):                                                                                                                                                                              │
           │         pass                                                                                                                                                                                       │
           │     def outputs(self):                                                                                                                                                                             │
           │         pass                                                                                                                                                                                       │
           │     def shared_vars(self):                                                                                                                                                                         │
           │         pass                                                                                                                                                                                       │
           │     def instances(self):                                                                                                                                                                           │
           │         pass                                                                                                                                                                                       │
           │     def init(self):                                                                                                                                                                                │
           │         pass                                                                                                                                                                                       │
           │     def next(self):                                                                                                                                                                                │
           │         pass                                                                                                                                                                                       │
           │     def specification(self):                                                                                                                                                                       │
           │         pass                                                                                                                                                                                       │
           │     def proof(self):                                                                                                                                                                               │
           │         pass                                                                                                                                                                                       │
           │                                                                                                                                                                                                    │
           │ class RiverCrossingModule(Module):                                                                                                                                                                 │
           │     def types(self):                                                                                                                                                                               │
           │         self.Location = Enum("oneSide", "otherSide")                                                                                                                                               │
           │                                                                                                                                                                                                    │
           │     def locals(self):                                                                                                                                                                              │
           │         self.invalid_states = bool                                                                                                                                                                 │
           │         self.ferryman = self.Location                                                                                                                                                              │
           │         self.goat = self.Location                                                                                                                                                                  │
           │         self.cabbage = self.Location                                                                                                                                                               │
           │         self.wolf = self.Location                                                                                                                                                                  │
           │         self.carry = Enum("cabbage", "goat", "none", "wolf")                                                                                                                                       │
           │                                                                                                                                                                                                    │
           │     def init(self):                                                                                                                                                                                │
           │         self.ferryman = "oneSide"                                                                                                                                                                  │
           │         self.goat = "oneSide"                                                                                                                                                                      │
           │         self.cabbage = "oneSide"                                                                                                                                                                   │
           │         self.wolf = "oneSide"                                                                                                                                                                      │
           │         self.carry = "none"                                                                                                                                                                        │
           │                                                                                                                                                                                                    │
           │     def next(self):                                                                                                                                                                                │
           │         if (self.carry == "none"):                                                                                                                                                                 │
           │             self.toggle_ferryman_location()                                                                                                                                                        │
           │         else:                                                                                                                                                                                      │
           │             if (self.carry == "goat"):                                                                                                                                                             │
           │                 self.move_item(self.goat)                                                                                                                                                          │
           │             else:                                                                                                                                                                                  │
           │                 if (self.carry == "cabbage"):                                                                                                                                                      │
           │                     self.move_item(self.cabbage)                                                                                                                                                   │
           │                 else:                                                                                                                                                                              │
           │                     if (self.carry == "wolf"):                                                                                                                                                     │
           │                         self.move_item(self.wolf)                                                                                                                                                  │
           │         self.invalid_states = (((self.goat == self.cabbage) and (self.goat != self.ferryman)) or ((self.goat == self.wolf) and (self.goat != self.ferryman)))                                      │
           │         if self.invalid_states:                                                                                                                                                                    │
           │             self.ferryman = "oneSide"                                                                                                                                                              │
           │                                                                                                                                                                                                    │
           │     def toggle_ferryman_location(self):                                                                                                                                                            │
           │         if self.ferryman == "oneSide":                                                                                                                                                             │
           │             self.ferryman = "otherSide"                                                                                                                                                            │
           │         else:                                                                                                                                                                                      │
           │             self.ferryman = "oneSide"                                                                                                                                                              │
           │                                                                                                                                                                                                    │
           │     def move_item(self, item):                                                                                                                                                                     │
           │         if item == "oneSide":                                                                                                                                                                      │
           │             item = "otherSide"                                                                                                                                                                     │
           │         else:                                                                                                                                                                                      │
           │             item = "oneSide"                                                                                                                                                                       │
           │                                                                                                                                                                                                    │
           │     def proof(self):                                                                                                                                                                               │
           │         # Define a proof strategy and conditions under which goal state is reached without conflicts                                                                                               │
           │         while not self.all_on_other_side():                                                                                                                                                        │
           │             self.next()                                                                                                                                                                            │
           │         assert not self.invalid_states                                                                                                                                                             │
           │                                                                                                                                                                                                    │
           │     def all_on_other_side(self):                                                                                                                                                                   │
           │         return self.ferryman == "otherSide" and self.goat == "otherSide" and self.cabbage == "otherSide" and self.wolf == "otherSide"                                                              │
           │ ```                                                                                                                                                                                                │
           │ In this enhanced implementation, I have specified behavior for the ferryman and items transitions, and added methods to handle the toggling of the locations and proof conditions. Also corrected  │
           │ by filling the correct occurrences in the missing parts with logic to toggle the ferryman location and move specific items across the river. Finally, added a helper method to determine if all    │
           │ actors have successfully crossed the river.                                                                                                                                                        │
           ╰────────────────────────────────────────────────────────────────────────────────────────────────────────────────────────────────────────────────────────────────────────────────────────────────────╯
           ╭──────────────────────────────────────────────────────────────────────── 🤖 Extracted: ────────────────────────────────────────────────────────────────────────╮                                      utils.py:24
           │                                                                                                                                                               │
           │ class Module:                                                                                                                                                 │
           │     """An abstract class to represent a UCLID5 module."""                                                                                                     │
           │     def types(self):                                                                                                                                          │
           │         pass                                                                                                                                                  │
           │     def locals(self):                                                                                                                                         │
           │         pass                                                                                                                                                  │
           │     def inputs(self):                                                                                                                                         │
           │         pass                                                                                                                                                  │
           │     def outputs(self):                                                                                                                                        │
           │         pass                                                                                                                                                  │
           │     def shared_vars(self):                                                                                                                                    │
           │         pass                                                                                                                                                  │
           │     def instances(self):                                                                                                                                      │
           │         pass                                                                                                                                                  │
           │     def init(self):                                                                                                                                           │
           │         pass                                                                                                                                                  │
           │     def next(self):                                                                                                                                           │
           │         pass                                                                                                                                                  │
           │     def specification(self):                                                                                                                                  │
           │         pass                                                                                                                                                  │
           │     def proof(self):                                                                                                                                          │
           │         pass                                                                                                                                                  │
           │                                                                                                                                                               │
           │ class RiverCrossingModule(Module):                                                                                                                            │
           │     def types(self):                                                                                                                                          │
           │         self.Location = Enum("oneSide", "otherSide")                                                                                                          │
           │                                                                                                                                                               │
           │     def locals(self):                                                                                                                                         │
           │         self.invalid_states = bool                                                                                                                            │
           │         self.ferryman = self.Location                                                                                                                         │
           │         self.goat = self.Location                                                                                                                             │
           │         self.cabbage = self.Location                                                                                                                          │
           │         self.wolf = self.Location                                                                                                                             │
           │         self.carry = Enum("cabbage", "goat", "none", "wolf")                                                                                                  │
           │                                                                                                                                                               │
           │     def init(self):                                                                                                                                           │
           │         self.ferryman = "oneSide"                                                                                                                             │
           │         self.goat = "oneSide"                                                                                                                                 │
           │         self.cabbage = "oneSide"                                                                                                                              │
           │         self.wolf = "oneSide"                                                                                                                                 │
           │         self.carry = "none"                                                                                                                                   │
           │                                                                                                                                                               │
           │     def next(self):                                                                                                                                           │
           │         if (self.carry == "none"):                                                                                                                            │
           │             self.toggle_ferryman_location()                                                                                                                   │
           │         else:                                                                                                                                                 │
           │             if (self.carry == "goat"):                                                                                                                        │
           │                 self.move_item(self.goat)                                                                                                                     │
           │             else:                                                                                                                                             │
           │                 if (self.carry == "cabbage"):                                                                                                                 │
           │                     self.move_item(self.cabbage)                                                                                                              │
           │                 else:                                                                                                                                         │
           │                     if (self.carry == "wolf"):                                                                                                                │
           │                         self.move_item(self.wolf)                                                                                                             │
           │         self.invalid_states = (((self.goat == self.cabbage) and (self.goat != self.ferryman)) or ((self.goat == self.wolf) and (self.goat != self.ferryman))) │
           │         if self.invalid_states:                                                                                                                               │
           │             self.ferryman = "oneSide"                                                                                                                         │
           │                                                                                                                                                               │
           │     def toggle_ferryman_location(self):                                                                                                                       │
           │         if self.ferryman == "oneSide":                                                                                                                        │
           │             self.ferryman = "otherSide"                                                                                                                       │
           │         else:                                                                                                                                                 │
           │             self.ferryman = "oneSide"                                                                                                                         │
           │                                                                                                                                                               │
           │     def move_item(self, item):                                                                                                                                │
           │         if item == "oneSide":                                                                                                                                 │
           │             item = "otherSide"                                                                                                                                │
           │         else:                                                                                                                                                 │
           │             item = "oneSide"                                                                                                                                  │
           │                                                                                                                                                               │
           │     def proof(self):                                                                                                                                          │
           │         # Define a proof strategy and conditions under which goal state is reached without conflicts                                                          │
           │         while not self.all_on_other_side():                                                                                                                   │
           │             self.next()                                                                                                                                       │
           │         assert not self.invalid_states                                                                                                                        │
           │                                                                                                                                                               │
           │     def all_on_other_side(self):                                                                                                                              │
           │         return self.ferryman == "otherSide" and self.goat == "otherSide" and self.cabbage == "otherSide" and self.wolf == "otherSide"                         │
           ╰───────────────────────────────────────────────────────────────────────────────────────────────────────────────────────────────────────────────────────────────╯
[22:36:21] ╭────────────────────────────────────────────────────────────────────── 🤖 Repaired: ───────────────────────────────────────────────────────────────────────╮                                          utils.py:24
           │ class RiverCrossingModule(Module):                                                                                                                        │
           │   def types(self):                                                                                                                                        │
           │     self.Location = Enum("oneSide", "otherSide")                                                                                                          │
           │                                                                                                                                                           │
           │   def locals(self):                                                                                                                                       │
           │     self.invalid_states = bool                                                                                                                            │
           │     self.ferryman = self.Location                                                                                                                         │
           │     self.goat = self.Location                                                                                                                             │
           │     self.cabbage = self.Location                                                                                                                          │
           │     self.wolf = self.Location                                                                                                                             │
           │     self.carry = Enum("cabbage", "goat", "none", "wolf")                                                                                                  │
           │                                                                                                                                                           │
           │   def init(self):                                                                                                                                         │
           │     self.ferryman = "oneSide"                                                                                                                             │
           │     self.goat = "oneSide"                                                                                                                                 │
           │     self.cabbage = "oneSide"                                                                                                                              │
           │     self.wolf = "oneSide"                                                                                                                                 │
           │     self.carry = "none"                                                                                                                                   │
           │                                                                                                                                                           │
           │   def next(self):                                                                                                                                         │
           │     if (self.carry == "none"):                                                                                                                            │
           │       ??                                                                                                                                                  │
           │     else:                                                                                                                                                 │
           │       if (self.carry == ??):                                                                                                                              │
           │         ??                                                                                                                                                │
           │       else:                                                                                                                                               │
           │         if (self.carry == ??):                                                                                                                            │
           │           ??                                                                                                                                              │
           │         else:                                                                                                                                             │
           │           if (self.carry == ??):                                                                                                                          │
           │             ??                                                                                                                                            │
           │     self.invalid_states = (((self.goat == self.cabbage) and (self.goat != self.ferryman)) or ((self.goat == self.wolf) and (self.goat != self.ferryman))) │
           │     if self.invalid_states:                                                                                                                               │
           │       self.ferryman = "oneSide"                                                                                                                           │
           │                                                                                                                                                           │
           │   def proof(self):                                                                                                                                        │
           │     ??                                                                                                                                                    │
           │     ??                                                                                                                                                    │
           │                                                                                                                                                           │
           │                                                                                                                                                           │
           ╰───────────────────────────────────────────────────────────────────────────────────────────────────────────────────────────────────────────────────────────╯
           ╭──────────────────────────────────────────────────────────────────────────────────────────── 🤖 Prompt: ────────────────────────────────────────────────────────────────────────────────────────────╮ utils.py:24
           │                                                                                                                                                                                                    │
           │ Fix the following Python code by replacing every occurrence of `??` with the correct code.                                                                                                         │
           │ ```python                                                                                                                                                                                          │
           │ class RiverCrossingModule(Module):                                                                                                                                                                 │
           │   def types(self):                                                                                                                                                                                 │
           │     self.Location = Enum("oneSide", "otherSide")                                                                                                                                                   │
           │                                                                                                                                                                                                    │
           │   def locals(self):                                                                                                                                                                                │
           │     self.invalid_states = bool                                                                                                                                                                     │
           │     self.ferryman = self.Location                                                                                                                                                                  │
           │     self.goat = self.Location                                                                                                                                                                      │
           │     self.cabbage = self.Location                                                                                                                                                                   │
           │     self.wolf = self.Location                                                                                                                                                                      │
           │     self.carry = Enum("cabbage", "goat", "none", "wolf")                                                                                                                                           │
           │                                                                                                                                                                                                    │
           │   def init(self):                                                                                                                                                                                  │
           │     self.ferryman = "oneSide"                                                                                                                                                                      │
           │     self.goat = "oneSide"                                                                                                                                                                          │
           │     self.cabbage = "oneSide"                                                                                                                                                                       │
           │     self.wolf = "oneSide"                                                                                                                                                                          │
           │     self.carry = "none"                                                                                                                                                                            │
           │                                                                                                                                                                                                    │
           │   def next(self):                                                                                                                                                                                  │
           │     if (self.carry == "none"):                                                                                                                                                                     │
           │       ??                                                                                                                                                                                           │
           │     else:                                                                                                                                                                                          │
           │       if (self.carry == ??):                                                                                                                                                                       │
           │         ??                                                                                                                                                                                         │
           │       else:                                                                                                                                                                                        │
           │         if (self.carry == ??):                                                                                                                                                                     │
           │           ??                                                                                                                                                                                       │
           │         else:                                                                                                                                                                                      │
           │           if (self.carry == ??):                                                                                                                                                                   │
           │             ??                                                                                                                                                                                     │
           │     self.invalid_states = (((self.goat == self.cabbage) and (self.goat != self.ferryman)) or ((self.goat == self.wolf) and (self.goat != self.ferryman)))                                          │
           │     if self.invalid_states:                                                                                                                                                                        │
           │       self.ferryman = "oneSide"                                                                                                                                                                    │
           │                                                                                                                                                                                                    │
           │   def proof(self):                                                                                                                                                                                 │
           │     ??                                                                                                                                                                                             │
           │     ??                                                                                                                                                                                             │
           │                                                                                                                                                                                                    │
           │                                                                                                                                                                                                    │
           │ ```                                                                                                                                                                                                │
           │ Make sure that your code extends the `Module` class below and that it completes the following task.                                                                                                │
           │                                                                                                                                                                                                    │
           │ > You may recall the puzzle of a ferryman, goat, cabbage, and wolf all on one side of a river. The ferryman can cross the river with at most one passenger in his boat. There is a behavioural     │
           │ conflict between: 1. the goat and the cabbage; and 2. the goat and the wolf; if they are on the same river bank but the ferryman crosses the river or stays on the other bank. We wish to know how │
           │ the ferryman can transport all goods to the other side, without any conflicts occurring. Build a model in which the states represent which goods are at which side of the river. Your model will   │
           │ need to have variables representing the location of the ferryman, the goat, the cabbage and the wolf and a variable that indicates what is being carried in the ferry. Define a goal state in      │
           │ which all goods are on the other side of the river. Write a property which checks whether this goal state is reachable without any conflicts occurring. Use the variable names ferryman, goat,     │
           │ cabbage, wolf and carry.                                                                                                                                                                           │
           │                                                                                                                                                                                                    │
           │ Reply with your Python code inside one unique code block.                                                                                                                                          │
           │                                                                                                                                                                                                    │
           │ ```python                                                                                                                                                                                          │
           │ class Module:                                                                                                                                                                                      │
           │     """An abstract class to represent a UCLID5 module."""                                                                                                                                          │
           │                                                                                                                                                                                                    │
           │     def types(self):                                                                                                                                                                               │
           │         """(Optional) Defines the type declarations.                                                                                                                                               │
           │         For example, the following implementation defines a 8-bit type called T:                                                                                                                   │
           │         ```                                                                                                                                                                                        │
           │         def types(self):                                                                                                                                                                           │
           │             self.T = BitVector(8)                                                                                                                                                                  │
           │         ```                                                                                                                                                                                        │
           │         """                                                                                                                                                                                        │
           │         pass                                                                                                                                                                                       │
           │                                                                                                                                                                                                    │
           │     def locals(self):                                                                                                                                                                              │
           │         """(Optional) Defines the local variables and their types.                                                                                                                                 │
           │         For example, the following implementation defines an 8-bit variable x                                                                                                                      │
           │         and an integer variable y:                                                                                                                                                                 │
           │         ```                                                                                                                                                                                        │
           │         def locals(self):                                                                                                                                                                          │
           │             self.x = BitVector(8)                                                                                                                                                                  │
           │             self.y = Integer()                                                                                                                                                                     │
           │         ```                                                                                                                                                                                        │
           │         """                                                                                                                                                                                        │
           │         pass                                                                                                                                                                                       │
           │                                                                                                                                                                                                    │
           │     def inputs(self):                                                                                                                                                                              │
           │         """(Optional) Defines the input variables and their types.                                                                                                                                 │
           │         For example, the following implementation defines an input variable x,                                                                                                                     │
           │         which is an array of 8-bit bitvectors indexed by 2-bit bitvectors:                                                                                                                         │
           │         ```                                                                                                                                                                                        │
           │         def inputs(self):                                                                                                                                                                          │
           │             self.x = Array(BitVector(2), BitVector(8))                                                                                                                                             │
           │         ```                                                                                                                                                                                        │
           │         """                                                                                                                                                                                        │
           │         pass                                                                                                                                                                                       │
           │                                                                                                                                                                                                    │
           │     def outputs(self):                                                                                                                                                                             │
           │         """(Optional) Defines the output variables and their types.                                                                                                                                │
           │         For example, the following implementation defines an output variable y,                                                                                                                    │
           │         which is a real number:                                                                                                                                                                    │
           │         ```                                                                                                                                                                                        │
           │         def outputs(self):                                                                                                                                                                         │
           │             self.y = Real()                                                                                                                                                                        │
           │         ```                                                                                                                                                                                        │
           │         """                                                                                                                                                                                        │
           │         pass                                                                                                                                                                                       │
           │                                                                                                                                                                                                    │
           │     def shared_vars(self):                                                                                                                                                                         │
           │         """(Optional) Defines the shared variables and their types.                                                                                                                                │
           │         For example, the following implementation defines a shared variable z,                                                                                                                     │
           │         which is an array of booleans indexed by integers:                                                                                                                                         │
           │         ```                                                                                                                                                                                        │
           │         def shared_vars(self):                                                                                                                                                                     │
           │             self.z = Array(Integer(), Boolean())                                                                                                                                                   │
           │         ```                                                                                                                                                                                        │
           │         """                                                                                                                                                                                        │
           │         pass                                                                                                                                                                                       │
           │                                                                                                                                                                                                    │
           │     def instances(self):                                                                                                                                                                           │
           │         """(Optional) Defines the instances of other modules and relates their                                                                                                                     │
           │         input, output, and shared variables to local variables. Every instance                                                                                                                     │
           │         variable must be related to a local variable. For example, let M be                                                                                                                        │
           │         another module with inputs x and y, and output z. The following                                                                                                                            │
           │         implementation defines an instance of M called m, and connects M's                                                                                                                         │
           │         input variable x to the local variable self.a, M's input variable y to                                                                                                                     │
           │         the local variable self.b, and M's output variable z to the local                                                                                                                          │
           │         variable self.c:                                                                                                                                                                           │
           │         ```                                                                                                                                                                                        │
           │         def instances(self):                                                                                                                                                                       │
           │             self.m = M(x=self.a, y=self.b, z=self.c)                                                                                                                                               │
           │         ```                                                                                                                                                                                        │
           │         """                                                                                                                                                                                        │
           │         pass                                                                                                                                                                                       │
           │                                                                                                                                                                                                    │
           │     def init(self):                                                                                                                                                                                │
           │         """(Optional) Defines how variables are initialized.                                                                                                                                       │
           │         For example, the following implementation initializes x to 0 if y is                                                                                                                       │
           │         greater than or equal to 20:                                                                                                                                                               │
           │         ```                                                                                                                                                                                        │
           │         def init(self):                                                                                                                                                                            │
           │             if self.y >= 20:                                                                                                                                                                       │
           │                 self.x = 0                                                                                                                                                                         │
           │         ```                                                                                                                                                                                        │
           │         """                                                                                                                                                                                        │
           │         pass                                                                                                                                                                                       │
           │                                                                                                                                                                                                    │
           │     def next(self):                                                                                                                                                                                │
           │         """(Optional) Defines the transition relation.                                                                                                                                             │
           │         For example, the following implementation increments x or decrements y                                                                                                                     │
           │         depending on z:                                                                                                                                                                            │
           │         ```                                                                                                                                                                                        │
           │         def next(self):                                                                                                                                                                            │
           │             if self.z:                                                                                                                                                                             │
           │                 self.x = self.x + 1                                                                                                                                                                │
           │             else:                                                                                                                                                                                  │
           │                 self.y = self.y - 1                                                                                                                                                                │
           │         ```                                                                                                                                                                                        │
           │         """                                                                                                                                                                                        │
           │         pass                                                                                                                                                                                       │
           │                                                                                                                                                                                                    │
           │     def specification(self):                                                                                                                                                                       │
           │         """(Optional) Defines the specification in terms of invariant properties.                                                                                                                  │
           │                                                                                                                                                                                                    │
           │         Returns:                                                                                                                                                                                   │
           │             bool: True if the specification is satisfied, False otherwise.                                                                                                                         │
           │                                                                                                                                                                                                    │
           │         For example, the following implementation defines two invariants:                                                                                                                          │
           │         ```                                                                                                                                                                                        │
           │         def specification(self):                                                                                                                                                                   │
           │             return self.x < 10 and self.y > 0                                                                                                                                                      │
           │         """                                                                                                                                                                                        │
           │         pass                                                                                                                                                                                       │
           │                                                                                                                                                                                                    │
           │     def proof(self):                                                                                                                                                                               │
           │         """(Optional) Defines the control block.                                                                                                                                                   │
           │         For example, the following implementation uses 1-induction to prove                                                                                                                        │
           │         that the specification always holds:                                                                                                                                                       │
           │         ```                                                                                                                                                                                        │
           │         def proof(self):                                                                                                                                                                           │
           │             induction(1)                                                                                                                                                                           │
           │         ```                                                                                                                                                                                        │
           │         """                                                                                                                                                                                        │
           │         pass                                                                                                                                                                                       │
           │ ```                                                                                                                                                                                                │
           │                                                                                                                                                                                                    │
           │ I can definitely do that! Here is the fixed Python code:                                                                                                                                           │
           │ ```python                                                                                                                                                                                          │
           │                                                                                                                                                                                                    │
           ╰────────────────────────────────────────────────────────────────────────────────────────────────────────────────────────────────────────────────────────────────────────────────────────────────────╯
[22:36:44] ╭─────────────────────────────────────────────────────────────────────────────────────────── 🧠 Response: ───────────────────────────────────────────────────────────────────────────────────────────╮ utils.py:42
           │ ```python                                                                                                                                                                                          │
           │ class RiverCrossingModule(Module):                                                                                                                                                                 │
           │     def types(self):                                                                                                                                                                               │
           │         self.Location = Enum("oneSide", "otherSide")                                                                                                                                               │
           │                                                                                                                                                                                                    │
           │     def locals(self):                                                                                                                                                                              │
           │         self.invalid_states = bool                                                                                                                                                                 │
           │         self.ferryman = self.Location                                                                                                                                                              │
           │         self.goat = self.Location                                                                                                                                                                  │
           │         self.cabbage = self.Location                                                                                                                                                               │
           │         self.wolf = self.Location                                                                                                                                                                  │
           │         self.carry = Enum("cabbage", "goat", "none", "wolf")                                                                                                                                       │
           │                                                                                                                                                                                                    │
           │     def init(self):                                                                                                                                                                                │
           │         self.ferryman = "oneSide"                                                                                                                                                                  │
           │         self.goat = "oneSide"                                                                                                                                                                      │
           │         self.cabbage = "oneSide"                                                                                                                                                                   │
           │         self.wolf = "oneSide"                                                                                                                                                                      │
           │         self.carry = "none"                                                                                                                                                                        │
           │                                                                                                                                                                                                    │
           │     def next(self):                                                                                                                                                                                │
           │         if self.carry == "none":                                                                                                                                                                   │
           │             # Just move ferryman                                                                                                                                                                   │
           │             self.ferryman = "otherSide" if self.ferryman == "oneSide" else "oneSide"                                                                                                               │
           │         else:                                                                                                                                                                                      │
           │             # Pick the item to move                                                                                                                                                                │
           │             if self.carry == "cabbage":                                                                                                                                                            │
           │                 if self.ferryman == self.cabbage:                                                                                                                                                  │
           │                     self.cabbage = "otherSide" if self.cabbage == "oneSide" else "oneSide"                                                                                                         │
           │             elif self.carry == "goat":                                                                                                                                                             │
           │                 if self.ferryman == self.goat:                                                                                                                                                     │
           │                     self.goat = "otherSide" if self.goat == "oneSide" else "oneSide"                                                                                                               │
           │             elif self.carry == "wolf":                                                                                                                                                             │
           │                 if self.ferryman == self.wolf:                                                                                                                                                     │
           │                     self.wolf = "otherSide" if self.wolf == "oneSide" else "oneSide"                                                                                                               │
           │                                                                                                                                                                                                    │
           │             # Move ferryman always                                                                                                                                                                 │
           │             self.ferryman = "otherSide" if self.ferryman == "oneSide" else "oneSide"                                                                                                               │
           │                                                                                                                                                                                                    │
           │         # Check invalid states                                                                                                                                                                     │
           │         self.invalid_states = ((self.goat == self.cabbage and self.goat != self.ferryman) or                                                                                                       │
           │                                (self.goat == self.wolf and self.goat != self.ferryman))                                                                                                            │
           │         if self.invalid_states:                                                                                                                                                                    │
           │             self.ferryman = "oneSide"  # Reset to initial if an invalid state occurs                                                                                                               │
           │                                                                                                                                                                                                    │
           │     def proof(self):                                                                                                                                                                               │
           │         target_state = self.ferryman == "otherSide" and self.goat == "otherSide" and \                                                                                                             │
           │                        self.cabbage == "otherSide" and self.wolf == "otherSide"                                                                                                                    │
           │         reachable_without_conflict = not self.invalid_states                                                                                                                                       │
           │         return target_state and reachable_without_conflict                                                                                                                                         │
           │ ```                                                                                                                                                                                                │
           │ This is the complete Python class `RiverCrossingModule` which derives from `Module`. In this modified version, I fixed locations in enum definitions, added toggles for object states depending on │
           │ what the `carry` variable references, adjusted the movement logic for the ferryman, and provided a simple model checking property in `proof` to ensure the problem’s conditions are met.           │
           ╰────────────────────────────────────────────────────────────────────────────────────────────────────────────────────────────────────────────────────────────────────────────────────────────────────╯
           ╭─────────────────────────────────────── 🤖 Extracted: ────────────────────────────────────────╮                                                                                                       utils.py:24
           │                                                                                              │
           │ class RiverCrossingModule(Module):                                                           │
           │     def types(self):                                                                         │
           │         self.Location = Enum("oneSide", "otherSide")                                         │
           │                                                                                              │
           │     def locals(self):                                                                        │
           │         self.invalid_states = bool                                                           │
           │         self.ferryman = self.Location                                                        │
           │         self.goat = self.Location                                                            │
           │         self.cabbage = self.Location                                                         │
           │         self.wolf = self.Location                                                            │
           │         self.carry = Enum("cabbage", "goat", "none", "wolf")                                 │
           │                                                                                              │
           │     def init(self):                                                                          │
           │         self.ferryman = "oneSide"                                                            │
           │         self.goat = "oneSide"                                                                │
           │         self.cabbage = "oneSide"                                                             │
           │         self.wolf = "oneSide"                                                                │
           │         self.carry = "none"                                                                  │
           │                                                                                              │
           │     def next(self):                                                                          │
           │         if self.carry == "none":                                                             │
           │             # Just move ferryman                                                             │
           │             self.ferryman = "otherSide" if self.ferryman == "oneSide" else "oneSide"         │
           │         else:                                                                                │
           │             # Pick the item to move                                                          │
           │             if self.carry == "cabbage":                                                      │
           │                 if self.ferryman == self.cabbage:                                            │
           │                     self.cabbage = "otherSide" if self.cabbage == "oneSide" else "oneSide"   │
           │             elif self.carry == "goat":                                                       │
           │                 if self.ferryman == self.goat:                                               │
           │                     self.goat = "otherSide" if self.goat == "oneSide" else "oneSide"         │
           │             elif self.carry == "wolf":                                                       │
           │                 if self.ferryman == self.wolf:                                               │
           │                     self.wolf = "otherSide" if self.wolf == "oneSide" else "oneSide"         │
           │                                                                                              │
           │             # Move ferryman always                                                           │
           │             self.ferryman = "otherSide" if self.ferryman == "oneSide" else "oneSide"         │
           │                                                                                              │
           │         # Check invalid states                                                               │
           │         self.invalid_states = ((self.goat == self.cabbage and self.goat != self.ferryman) or │
           │                                (self.goat == self.wolf and self.goat != self.ferryman))      │
           │         if self.invalid_states:                                                              │
           │             self.ferryman = "oneSide"  # Reset to initial if an invalid state occurs         │
           │                                                                                              │
           │     def proof(self):                                                                         │
           │         target_state = self.ferryman == "otherSide" and self.goat == "otherSide" and \       │
           │                        self.cabbage == "otherSide" and self.wolf == "otherSide"              │
           │         reachable_without_conflict = not self.invalid_states                                 │
           │         return target_state and reachable_without_conflict                                   │
           ╰──────────────────────────────────────────────────────────────────────────────────────────────╯
[22:36:45] ╭────────────────────────────────────────────────────────────────────── 🤖 Repaired: ───────────────────────────────────────────────────────────────────────╮                                          utils.py:24
           │ class RiverCrossingModule(Module):                                                                                                                        │
           │   def types(self):                                                                                                                                        │
           │     self.Location = Enum("oneSide", "otherSide")                                                                                                          │
           │                                                                                                                                                           │
           │   def locals(self):                                                                                                                                       │
           │     self.invalid_states = bool                                                                                                                            │
           │     self.ferryman = self.Location                                                                                                                         │
           │     self.goat = self.Location                                                                                                                             │
           │     self.cabbage = self.Location                                                                                                                          │
           │     self.wolf = self.Location                                                                                                                             │
           │     self.carry = Enum("cabbage", "goat", "none", "wolf")                                                                                                  │
           │                                                                                                                                                           │
           │   def init(self):                                                                                                                                         │
           │     self.ferryman = "oneSide"                                                                                                                             │
           │     self.goat = "oneSide"                                                                                                                                 │
           │     self.cabbage = "oneSide"                                                                                                                              │
           │     self.wolf = "oneSide"                                                                                                                                 │
           │     self.carry = "none"                                                                                                                                   │
           │                                                                                                                                                           │
           │   def next(self):                                                                                                                                         │
           │     if (self.carry == "none"):                                                                                                                            │
           │       self.ferryman = ("otherSide" if (self.ferryman == "oneSide") else "oneSide")                                                                        │
           │     else:                                                                                                                                                 │
           │       if (self.carry == ??):                                                                                                                              │
           │         if (self.ferryman == self.cabbage):                                                                                                               │
           │           self.cabbage = ("otherSide" if (self.cabbage == "oneSide") else "oneSide")                                                                      │
           │       else:                                                                                                                                               │
           │         if (self.carry == ??):                                                                                                                            │
           │           if (self.ferryman == self.goat):                                                                                                                │
           │             self.goat = ("otherSide" if (self.goat == "oneSide") else "oneSide")                                                                          │
           │         else:                                                                                                                                             │
           │           if (self.carry == ??):                                                                                                                          │
           │             if (self.ferryman == self.wolf):                                                                                                              │
           │               self.wolf = ("otherSide" if (self.wolf == "oneSide") else "oneSide")                                                                        │
           │       self.ferryman = ("otherSide" if (self.ferryman == "oneSide") else "oneSide")                                                                        │
           │     self.invalid_states = (((self.goat == self.cabbage) and (self.goat != self.ferryman)) or ((self.goat == self.wolf) and (self.goat != self.ferryman))) │
           │     if self.invalid_states:                                                                                                                               │
           │       self.ferryman = "oneSide"                                                                                                                           │
           │                                                                                                                                                           │
           │                                                                                                                                                           │
           ╰───────────────────────────────────────────────────────────────────────────────────────────────────────────────────────────────────────────────────────────╯
           ╭──────────────────────────────────────────────────────────────────────────────────────────── 🤖 Prompt: ────────────────────────────────────────────────────────────────────────────────────────────╮ utils.py:24
           │                                                                                                                                                                                                    │
           │ Fix the following Python code by replacing every occurrence of `??` with the correct code.                                                                                                         │
           │ ```python                                                                                                                                                                                          │
           │ class RiverCrossingModule(Module):                                                                                                                                                                 │
           │   def types(self):                                                                                                                                                                                 │
           │     self.Location = Enum("oneSide", "otherSide")                                                                                                                                                   │
           │                                                                                                                                                                                                    │
           │   def locals(self):                                                                                                                                                                                │
           │     self.invalid_states = bool                                                                                                                                                                     │
           │     self.ferryman = self.Location                                                                                                                                                                  │
           │     self.goat = self.Location                                                                                                                                                                      │
           │     self.cabbage = self.Location                                                                                                                                                                   │
           │     self.wolf = self.Location                                                                                                                                                                      │
           │     self.carry = Enum("cabbage", "goat", "none", "wolf")                                                                                                                                           │
           │                                                                                                                                                                                                    │
           │   def init(self):                                                                                                                                                                                  │
           │     self.ferryman = "oneSide"                                                                                                                                                                      │
           │     self.goat = "oneSide"                                                                                                                                                                          │
           │     self.cabbage = "oneSide"                                                                                                                                                                       │
           │     self.wolf = "oneSide"                                                                                                                                                                          │
           │     self.carry = "none"                                                                                                                                                                            │
           │                                                                                                                                                                                                    │
           │   def next(self):                                                                                                                                                                                  │
           │     if (self.carry == "none"):                                                                                                                                                                     │
           │       self.ferryman = ("otherSide" if (self.ferryman == "oneSide") else "oneSide")                                                                                                                 │
           │     else:                                                                                                                                                                                          │
           │       if (self.carry == ??):                                                                                                                                                                       │
           │         if (self.ferryman == self.cabbage):                                                                                                                                                        │
           │           self.cabbage = ("otherSide" if (self.cabbage == "oneSide") else "oneSide")                                                                                                               │
           │       else:                                                                                                                                                                                        │
           │         if (self.carry == ??):                                                                                                                                                                     │
           │           if (self.ferryman == self.goat):                                                                                                                                                         │
           │             self.goat = ("otherSide" if (self.goat == "oneSide") else "oneSide")                                                                                                                   │
           │         else:                                                                                                                                                                                      │
           │           if (self.carry == ??):                                                                                                                                                                   │
           │             if (self.ferryman == self.wolf):                                                                                                                                                       │
           │               self.wolf = ("otherSide" if (self.wolf == "oneSide") else "oneSide")                                                                                                                 │
           │       self.ferryman = ("otherSide" if (self.ferryman == "oneSide") else "oneSide")                                                                                                                 │
           │     self.invalid_states = (((self.goat == self.cabbage) and (self.goat != self.ferryman)) or ((self.goat == self.wolf) and (self.goat != self.ferryman)))                                          │
           │     if self.invalid_states:                                                                                                                                                                        │
           │       self.ferryman = "oneSide"                                                                                                                                                                    │
           │                                                                                                                                                                                                    │
           │                                                                                                                                                                                                    │
           │ ```                                                                                                                                                                                                │
           │ Make sure that your code extends the `Module` class below and that it completes the following task.                                                                                                │
           │                                                                                                                                                                                                    │
           │ > You may recall the puzzle of a ferryman, goat, cabbage, and wolf all on one side of a river. The ferryman can cross the river with at most one passenger in his boat. There is a behavioural     │
           │ conflict between: 1. the goat and the cabbage; and 2. the goat and the wolf; if they are on the same river bank but the ferryman crosses the river or stays on the other bank. We wish to know how │
           │ the ferryman can transport all goods to the other side, without any conflicts occurring. Build a model in which the states represent which goods are at which side of the river. Your model will   │
           │ need to have variables representing the location of the ferryman, the goat, the cabbage and the wolf and a variable that indicates what is being carried in the ferry. Define a goal state in      │
           │ which all goods are on the other side of the river. Write a property which checks whether this goal state is reachable without any conflicts occurring. Use the variable names ferryman, goat,     │
           │ cabbage, wolf and carry.                                                                                                                                                                           │
           │                                                                                                                                                                                                    │
           │ Reply with your Python code inside one unique code block.                                                                                                                                          │
           │                                                                                                                                                                                                    │
           │ ```python                                                                                                                                                                                          │
           │ class Module:                                                                                                                                                                                      │
           │     """An abstract class to represent a UCLID5 module."""                                                                                                                                          │
           │                                                                                                                                                                                                    │
           │     def types(self):                                                                                                                                                                               │
           │         """(Optional) Defines the type declarations.                                                                                                                                               │
           │         For example, the following implementation defines a 8-bit type called T:                                                                                                                   │
           │         ```                                                                                                                                                                                        │
           │         def types(self):                                                                                                                                                                           │
           │             self.T = BitVector(8)                                                                                                                                                                  │
           │         ```                                                                                                                                                                                        │
           │         """                                                                                                                                                                                        │
           │         pass                                                                                                                                                                                       │
           │                                                                                                                                                                                                    │
           │     def locals(self):                                                                                                                                                                              │
           │         """(Optional) Defines the local variables and their types.                                                                                                                                 │
           │         For example, the following implementation defines an 8-bit variable x                                                                                                                      │
           │         and an integer variable y:                                                                                                                                                                 │
           │         ```                                                                                                                                                                                        │
           │         def locals(self):                                                                                                                                                                          │
           │             self.x = BitVector(8)                                                                                                                                                                  │
           │             self.y = Integer()                                                                                                                                                                     │
           │         ```                                                                                                                                                                                        │
           │         """                                                                                                                                                                                        │
           │         pass                                                                                                                                                                                       │
           │                                                                                                                                                                                                    │
           │     def inputs(self):                                                                                                                                                                              │
           │         """(Optional) Defines the input variables and their types.                                                                                                                                 │
           │         For example, the following implementation defines an input variable x,                                                                                                                     │
           │         which is an array of 8-bit bitvectors indexed by 2-bit bitvectors:                                                                                                                         │
           │         ```                                                                                                                                                                                        │
           │         def inputs(self):                                                                                                                                                                          │
           │             self.x = Array(BitVector(2), BitVector(8))                                                                                                                                             │
           │         ```                                                                                                                                                                                        │
           │         """                                                                                                                                                                                        │
           │         pass                                                                                                                                                                                       │
           │                                                                                                                                                                                                    │
           │     def outputs(self):                                                                                                                                                                             │
           │         """(Optional) Defines the output variables and their types.                                                                                                                                │
           │         For example, the following implementation defines an output variable y,                                                                                                                    │
           │         which is a real number:                                                                                                                                                                    │
           │         ```                                                                                                                                                                                        │
           │         def outputs(self):                                                                                                                                                                         │
           │             self.y = Real()                                                                                                                                                                        │
           │         ```                                                                                                                                                                                        │
           │         """                                                                                                                                                                                        │
           │         pass                                                                                                                                                                                       │
           │                                                                                                                                                                                                    │
           │     def shared_vars(self):                                                                                                                                                                         │
           │         """(Optional) Defines the shared variables and their types.                                                                                                                                │
           │         For example, the following implementation defines a shared variable z,                                                                                                                     │
           │         which is an array of booleans indexed by integers:                                                                                                                                         │
           │         ```                                                                                                                                                                                        │
           │         def shared_vars(self):                                                                                                                                                                     │
           │             self.z = Array(Integer(), Boolean())                                                                                                                                                   │
           │         ```                                                                                                                                                                                        │
           │         """                                                                                                                                                                                        │
           │         pass                                                                                                                                                                                       │
           │                                                                                                                                                                                                    │
           │     def instances(self):                                                                                                                                                                           │
           │         """(Optional) Defines the instances of other modules and relates their                                                                                                                     │
           │         input, output, and shared variables to local variables. Every instance                                                                                                                     │
           │         variable must be related to a local variable. For example, let M be                                                                                                                        │
           │         another module with inputs x and y, and output z. The following                                                                                                                            │
           │         implementation defines an instance of M called m, and connects M's                                                                                                                         │
           │         input variable x to the local variable self.a, M's input variable y to                                                                                                                     │
           │         the local variable self.b, and M's output variable z to the local                                                                                                                          │
           │         variable self.c:                                                                                                                                                                           │
           │         ```                                                                                                                                                                                        │
           │         def instances(self):                                                                                                                                                                       │
           │             self.m = M(x=self.a, y=self.b, z=self.c)                                                                                                                                               │
           │         ```                                                                                                                                                                                        │
           │         """                                                                                                                                                                                        │
           │         pass                                                                                                                                                                                       │
           │                                                                                                                                                                                                    │
           │     def init(self):                                                                                                                                                                                │
           │         """(Optional) Defines how variables are initialized.                                                                                                                                       │
           │         For example, the following implementation initializes x to 0 if y is                                                                                                                       │
           │         greater than or equal to 20:                                                                                                                                                               │
           │         ```                                                                                                                                                                                        │
           │         def init(self):                                                                                                                                                                            │
           │             if self.y >= 20:                                                                                                                                                                       │
           │                 self.x = 0                                                                                                                                                                         │
           │         ```                                                                                                                                                                                        │
           │         """                                                                                                                                                                                        │
           │         pass                                                                                                                                                                                       │
           │                                                                                                                                                                                                    │
           │     def next(self):                                                                                                                                                                                │
           │         """(Optional) Defines the transition relation.                                                                                                                                             │
           │         For example, the following implementation increments x or decrements y                                                                                                                     │
           │         depending on z:                                                                                                                                                                            │
           │         ```                                                                                                                                                                                        │
           │         def next(self):                                                                                                                                                                            │
           │             if self.z:                                                                                                                                                                             │
           │                 self.x = self.x + 1                                                                                                                                                                │
           │             else:                                                                                                                                                                                  │
           │                 self.y = self.y - 1                                                                                                                                                                │
           │         ```                                                                                                                                                                                        │
           │         """                                                                                                                                                                                        │
           │         pass                                                                                                                                                                                       │
           │                                                                                                                                                                                                    │
           │     def specification(self):                                                                                                                                                                       │
           │         """(Optional) Defines the specification in terms of invariant properties.                                                                                                                  │
           │                                                                                                                                                                                                    │
           │         Returns:                                                                                                                                                                                   │
           │             bool: True if the specification is satisfied, False otherwise.                                                                                                                         │
           │                                                                                                                                                                                                    │
           │         For example, the following implementation defines two invariants:                                                                                                                          │
           │         ```                                                                                                                                                                                        │
           │         def specification(self):                                                                                                                                                                   │
           │             return self.x < 10 and self.y > 0                                                                                                                                                      │
           │         """                                                                                                                                                                                        │
           │         pass                                                                                                                                                                                       │
           │                                                                                                                                                                                                    │
           │     def proof(self):                                                                                                                                                                               │
           │         """(Optional) Defines the control block.                                                                                                                                                   │
           │         For example, the following implementation uses 1-induction to prove                                                                                                                        │
           │         that the specification always holds:                                                                                                                                                       │
           │         ```                                                                                                                                                                                        │
           │         def proof(self):                                                                                                                                                                           │
           │             induction(1)                                                                                                                                                                           │
           │         ```                                                                                                                                                                                        │
           │         """                                                                                                                                                                                        │
           │         pass                                                                                                                                                                                       │
           │ ```                                                                                                                                                                                                │
           │                                                                                                                                                                                                    │
           │ I can definitely do that! Here is the fixed Python code:                                                                                                                                           │
           │ ```python                                                                                                                                                                                          │
           │                                                                                                                                                                                                    │
           ╰────────────────────────────────────────────────────────────────────────────────────────────────────────────────────────────────────────────────────────────────────────────────────────────────────╯
[22:37:00] ╭─────────────────────────────────────────────────────────────────────────────────────────── 🧠 Response: ───────────────────────────────────────────────────────────────────────────────────────────╮ utils.py:42
           │ ```python                                                                                                                                                                                          │
           │ class RiverCrossingModule(Module):                                                                                                                                                                 │
           │     def types(self):                                                                                                                                                                               │
           │         self.Location = Enum("oneSide", "otherSide")                                                                                                                                               │
           │         self.Carry = Enum("cabbage", "goat", "none", "wolf")                                                                                                                                       │
           │                                                                                                                                                                                                    │
           │     def locals(self):                                                                                                                                                                              │
           │         self.invalid_states = bool                                                                                                                                                                 │
           │         self.ferryman = self.Location                                                                                                                                                              │
           │         self.goat = self.Location                                                                                                                                                                  │
           │         self.cabbage = self.Location                                                                                                                                                               │
           │         self.wolf = self.Location                                                                                                                                                                  │
           │         self.carry = self.Carry                                                                                                                                                                    │
           │                                                                                                                                                                                                    │
           │     def init(self):                                                                                                                                                                                │
           │         self.ferryman = "oneSide"                                                                                                                                                                  │
           │         self.goat = "oneSide"                                                                                                                                                                      │
           │         self.cabbage = "oneSide"                                                                                                                                                                   │
           │         self.wolf = "oneSide"                                                                                                                                                                      │
           │         self.carry = "none"                                                                                                                                                                        │
           │                                                                                                                                                                                                    │
           │     def next(self):                                                                                                                                                                                │
           │         if self.carry == "none":                                                                                                                                                                   │
           │             self.ferryman = "otherSide" if self.ferryman == "oneSide" else "oneSide"                                                                                                               │
           │         else:                                                                                                                                                                                      │
           │             if self.carry == "cabbage":                                                                                                                                                            │
           │                 if self.ferryman == self.cabbage:                                                                                                                                                  │
           │                     self.cabbage = "otherSide" if self.cabbage == "oneSide" else "oneSide"                                                                                                         │
           │             elif self.carry == "goat":                                                                                                                                                             │
           │                 if self.ferryman == self.goat:                                                                                                                                                     │
           │                     self.goat = "otherSide" if self.goat == "oneSide" else "oneSide"                                                                                                               │
           │             elif self.carry == "wolf":                                                                                                                                                             │
           │                 if self.ferryman == self.wolf:                                                                                                                                                     │
           │                     self.wolf = "otherSide" if self.wolf == "oneSide" else "oneSide"                                                                                                               │
           │             self.ferryman = "otherSide" if self.ferryman == "oneSide" else "oneSide"                                                                                                               │
           │         self.invalid_states = ((self.goat == self.cabbage and self.goat != self.ferryman) or                                                                                                       │
           │                                (self.goat == self.wolf and self.goat != self.ferryman))                                                                                                            │
           │         if self.invalid_states:                                                                                                                                                                    │
           │             self.ferryman = "oneSide"                                                                                                                                                              │
           │             self.carry = "none"  # No disastrous transfers when returning instantly for corrective action                                                                                          │
           │                                                                                                                                                                                                    │
           │     def specification(self):                                                                                                                                                                       │
           │         return all()                                                                                                                                                                               │
           │ ```                                                                                                                                                                                                │
           │                                                                                                                                                                                                    │
           │ In this corrected version, logic handling which item is being carried by the ferryman is now correctly aligned with `self.carry`. All `elif`'s ensure that there is no fall-through where          │
           │ unintended boolean logic could occur.                                                                                                                                                              │
           │                                                                                                                                                                                                    │
           │ The function `specification` has been added to check if the goal state where all entities are on the 'otherSide' is reached, hence providing a property that states the task's requirements. The   │
           │ handling of invalid states attempts to resolve cases where the goat might be left with either the cabbage or the wolf without the ferryman's supervision, which would disrupt the goal of safely   │
           │ transporting all items.                                                                                                                                                                            │
           ╰────────────────────────────────────────────────────────────────────────────────────────────────────────────────────────────────────────────────────────────────────────────────────────────────────╯
           ╭────────────────────────────────────────────── 🤖 Extracted: ──────────────────────────────────────────────╮                                                                                          utils.py:24
           │                                                                                                           │
           │ class RiverCrossingModule(Module):                                                                        │
           │     def types(self):                                                                                      │
           │         self.Location = Enum("oneSide", "otherSide")                                                      │
           │         self.Carry = Enum("cabbage", "goat", "none", "wolf")                                              │
           │                                                                                                           │
           │     def locals(self):                                                                                     │
           │         self.invalid_states = bool                                                                        │
           │         self.ferryman = self.Location                                                                     │
           │         self.goat = self.Location                                                                         │
           │         self.cabbage = self.Location                                                                      │
           │         self.wolf = self.Location                                                                         │
           │         self.carry = self.Carry                                                                           │
           │                                                                                                           │
           │     def init(self):                                                                                       │
           │         self.ferryman = "oneSide"                                                                         │
           │         self.goat = "oneSide"                                                                             │
           │         self.cabbage = "oneSide"                                                                          │
           │         self.wolf = "oneSide"                                                                             │
           │         self.carry = "none"                                                                               │
           │                                                                                                           │
           │     def next(self):                                                                                       │
           │         if self.carry == "none":                                                                          │
           │             self.ferryman = "otherSide" if self.ferryman == "oneSide" else "oneSide"                      │
           │         else:                                                                                             │
           │             if self.carry == "cabbage":                                                                   │
           │                 if self.ferryman == self.cabbage:                                                         │
           │                     self.cabbage = "otherSide" if self.cabbage == "oneSide" else "oneSide"                │
           │             elif self.carry == "goat":                                                                    │
           │                 if self.ferryman == self.goat:                                                            │
           │                     self.goat = "otherSide" if self.goat == "oneSide" else "oneSide"                      │
           │             elif self.carry == "wolf":                                                                    │
           │                 if self.ferryman == self.wolf:                                                            │
           │                     self.wolf = "otherSide" if self.wolf == "oneSide" else "oneSide"                      │
           │             self.ferryman = "otherSide" if self.ferryman == "oneSide" else "oneSide"                      │
           │         self.invalid_states = ((self.goat == self.cabbage and self.goat != self.ferryman) or              │
           │                                (self.goat == self.wolf and self.goat != self.ferryman))                   │
           │         if self.invalid_states:                                                                           │
           │             self.ferryman = "oneSide"                                                                     │
           │             self.carry = "none"  # No disastrous transfers when returning instantly for corrective action │
           │                                                                                                           │
           │     def specification(self):                                                                              │
           │         return all()                                                                                      │
           ╰───────────────────────────────────────────────────────────────────────────────────────────────────────────╯
[22:37:01] ╭────────────────────────────────────────────────────────────────────── 🤖 Repaired: ───────────────────────────────────────────────────────────────────────╮                                          utils.py:24
           │ class RiverCrossingModule(Module):                                                                                                                        │
           │   def types(self):                                                                                                                                        │
           │     self.Location = Enum("oneSide", "otherSide")                                                                                                          │
           │     self.Carry = Enum("cabbage", "goat", "none", "wolf")                                                                                                  │
           │                                                                                                                                                           │
           │   def locals(self):                                                                                                                                       │
           │     self.invalid_states = bool                                                                                                                            │
           │     self.ferryman = self.Location                                                                                                                         │
           │     self.goat = self.Location                                                                                                                             │
           │     self.cabbage = self.Location                                                                                                                          │
           │     self.wolf = self.Location                                                                                                                             │
           │     self.carry = self.Carry                                                                                                                               │
           │                                                                                                                                                           │
           │   def init(self):                                                                                                                                         │
           │     self.ferryman = "oneSide"                                                                                                                             │
           │     self.goat = "oneSide"                                                                                                                                 │
           │     self.cabbage = "oneSide"                                                                                                                              │
           │     self.wolf = "oneSide"                                                                                                                                 │
           │     self.carry = "none"                                                                                                                                   │
           │                                                                                                                                                           │
           │   def next(self):                                                                                                                                         │
           │     if (self.carry == "none"):                                                                                                                            │
           │       self.ferryman = ("otherSide" if (self.ferryman == "oneSide") else "oneSide")                                                                        │
           │     else:                                                                                                                                                 │
           │       if (self.carry == ??):                                                                                                                              │
           │         if (self.ferryman == self.cabbage):                                                                                                               │
           │           self.cabbage = ("otherSide" if (self.cabbage == "oneSide") else "oneSide")                                                                      │
           │       else:                                                                                                                                               │
           │         if (self.carry == ??):                                                                                                                            │
           │           if (self.ferryman == self.goat):                                                                                                                │
           │             self.goat = ("otherSide" if (self.goat == "oneSide") else "oneSide")                                                                          │
           │         else:                                                                                                                                             │
           │           if (self.carry == ??):                                                                                                                          │
           │             if (self.ferryman == self.wolf):                                                                                                              │
           │               self.wolf = ("otherSide" if (self.wolf == "oneSide") else "oneSide")                                                                        │
           │       self.ferryman = ("otherSide" if (self.ferryman == "oneSide") else "oneSide")                                                                        │
           │     self.invalid_states = (((self.goat == self.cabbage) and (self.goat != self.ferryman)) or ((self.goat == self.wolf) and (self.goat != self.ferryman))) │
           │     if self.invalid_states:                                                                                                                               │
           │       self.ferryman = "oneSide"                                                                                                                           │
           │       self.carry = "none"                                                                                                                                 │
           │                                                                                                                                                           │
           │   def specification(self):                                                                                                                                │
           │     return ??                                                                                                                                             │
           │                                                                                                                                                           │
           │                                                                                                                                                           │
           ╰───────────────────────────────────────────────────────────────────────────────────────────────────────────────────────────────────────────────────────────╯
           ╭──────────────────────────────────────────────────────────────────────────────────────────── 🤖 Prompt: ────────────────────────────────────────────────────────────────────────────────────────────╮ utils.py:24
           │                                                                                                                                                                                                    │
           │ Fix the following Python code by replacing every occurrence of `??` with the correct code.                                                                                                         │
           │ ```python                                                                                                                                                                                          │
           │ class RiverCrossingModule(Module):                                                                                                                                                                 │
           │   def types(self):                                                                                                                                                                                 │
           │     self.Location = Enum("oneSide", "otherSide")                                                                                                                                                   │
           │     self.Carry = Enum("cabbage", "goat", "none", "wolf")                                                                                                                                           │
           │                                                                                                                                                                                                    │
           │   def locals(self):                                                                                                                                                                                │
           │     self.invalid_states = bool                                                                                                                                                                     │
           │     self.ferryman = self.Location                                                                                                                                                                  │
           │     self.goat = self.Location                                                                                                                                                                      │
           │     self.cabbage = self.Location                                                                                                                                                                   │
           │     self.wolf = self.Location                                                                                                                                                                      │
           │     self.carry = self.Carry                                                                                                                                                                        │
           │                                                                                                                                                                                                    │
           │   def init(self):                                                                                                                                                                                  │
           │     self.ferryman = "oneSide"                                                                                                                                                                      │
           │     self.goat = "oneSide"                                                                                                                                                                          │
           │     self.cabbage = "oneSide"                                                                                                                                                                       │
           │     self.wolf = "oneSide"                                                                                                                                                                          │
           │     self.carry = "none"                                                                                                                                                                            │
           │                                                                                                                                                                                                    │
           │   def next(self):                                                                                                                                                                                  │
           │     if (self.carry == "none"):                                                                                                                                                                     │
           │       self.ferryman = ("otherSide" if (self.ferryman == "oneSide") else "oneSide")                                                                                                                 │
           │     else:                                                                                                                                                                                          │
           │       if (self.carry == ??):                                                                                                                                                                       │
           │         if (self.ferryman == self.cabbage):                                                                                                                                                        │
           │           self.cabbage = ("otherSide" if (self.cabbage == "oneSide") else "oneSide")                                                                                                               │
           │       else:                                                                                                                                                                                        │
           │         if (self.carry == ??):                                                                                                                                                                     │
           │           if (self.ferryman == self.goat):                                                                                                                                                         │
           │             self.goat = ("otherSide" if (self.goat == "oneSide") else "oneSide")                                                                                                                   │
           │         else:                                                                                                                                                                                      │
           │           if (self.carry == ??):                                                                                                                                                                   │
           │             if (self.ferryman == self.wolf):                                                                                                                                                       │
           │               self.wolf = ("otherSide" if (self.wolf == "oneSide") else "oneSide")                                                                                                                 │
           │       self.ferryman = ("otherSide" if (self.ferryman == "oneSide") else "oneSide")                                                                                                                 │
           │     self.invalid_states = (((self.goat == self.cabbage) and (self.goat != self.ferryman)) or ((self.goat == self.wolf) and (self.goat != self.ferryman)))                                          │
           │     if self.invalid_states:                                                                                                                                                                        │
           │       self.ferryman = "oneSide"                                                                                                                                                                    │
           │       self.carry = "none"                                                                                                                                                                          │
           │                                                                                                                                                                                                    │
           │   def specification(self):                                                                                                                                                                         │
           │     return ??                                                                                                                                                                                      │
           │                                                                                                                                                                                                    │
           │                                                                                                                                                                                                    │
           │ ```                                                                                                                                                                                                │
           │ Make sure that your code extends the `Module` class below and that it completes the following task.                                                                                                │
           │                                                                                                                                                                                                    │
           │ > You may recall the puzzle of a ferryman, goat, cabbage, and wolf all on one side of a river. The ferryman can cross the river with at most one passenger in his boat. There is a behavioural     │
           │ conflict between: 1. the goat and the cabbage; and 2. the goat and the wolf; if they are on the same river bank but the ferryman crosses the river or stays on the other bank. We wish to know how │
           │ the ferryman can transport all goods to the other side, without any conflicts occurring. Build a model in which the states represent which goods are at which side of the river. Your model will   │
           │ need to have variables representing the location of the ferryman, the goat, the cabbage and the wolf and a variable that indicates what is being carried in the ferry. Define a goal state in      │
           │ which all goods are on the other side of the river. Write a property which checks whether this goal state is reachable without any conflicts occurring. Use the variable names ferryman, goat,     │
           │ cabbage, wolf and carry.                                                                                                                                                                           │
           │                                                                                                                                                                                                    │
           │ Reply with your Python code inside one unique code block.                                                                                                                                          │
           │                                                                                                                                                                                                    │
           │ ```python                                                                                                                                                                                          │
           │ class Module:                                                                                                                                                                                      │
           │     """An abstract class to represent a UCLID5 module."""                                                                                                                                          │
           │                                                                                                                                                                                                    │
           │     def types(self):                                                                                                                                                                               │
           │         """(Optional) Defines the type declarations.                                                                                                                                               │
           │         For example, the following implementation defines a 8-bit type called T:                                                                                                                   │
           │         ```                                                                                                                                                                                        │
           │         def types(self):                                                                                                                                                                           │
           │             self.T = BitVector(8)                                                                                                                                                                  │
           │         ```                                                                                                                                                                                        │
           │         """                                                                                                                                                                                        │
           │         pass                                                                                                                                                                                       │
           │                                                                                                                                                                                                    │
           │     def locals(self):                                                                                                                                                                              │
           │         """(Optional) Defines the local variables and their types.                                                                                                                                 │
           │         For example, the following implementation defines an 8-bit variable x                                                                                                                      │
           │         and an integer variable y:                                                                                                                                                                 │
           │         ```                                                                                                                                                                                        │
           │         def locals(self):                                                                                                                                                                          │
           │             self.x = BitVector(8)                                                                                                                                                                  │
           │             self.y = Integer()                                                                                                                                                                     │
           │         ```                                                                                                                                                                                        │
           │         """                                                                                                                                                                                        │
           │         pass                                                                                                                                                                                       │
           │                                                                                                                                                                                                    │
           │     def inputs(self):                                                                                                                                                                              │
           │         """(Optional) Defines the input variables and their types.                                                                                                                                 │
           │         For example, the following implementation defines an input variable x,                                                                                                                     │
           │         which is an array of 8-bit bitvectors indexed by 2-bit bitvectors:                                                                                                                         │
           │         ```                                                                                                                                                                                        │
           │         def inputs(self):                                                                                                                                                                          │
           │             self.x = Array(BitVector(2), BitVector(8))                                                                                                                                             │
           │         ```                                                                                                                                                                                        │
           │         """                                                                                                                                                                                        │
           │         pass                                                                                                                                                                                       │
           │                                                                                                                                                                                                    │
           │     def outputs(self):                                                                                                                                                                             │
           │         """(Optional) Defines the output variables and their types.                                                                                                                                │
           │         For example, the following implementation defines an output variable y,                                                                                                                    │
           │         which is a real number:                                                                                                                                                                    │
           │         ```                                                                                                                                                                                        │
           │         def outputs(self):                                                                                                                                                                         │
           │             self.y = Real()                                                                                                                                                                        │
           │         ```                                                                                                                                                                                        │
           │         """                                                                                                                                                                                        │
           │         pass                                                                                                                                                                                       │
           │                                                                                                                                                                                                    │
           │     def shared_vars(self):                                                                                                                                                                         │
           │         """(Optional) Defines the shared variables and their types.                                                                                                                                │
           │         For example, the following implementation defines a shared variable z,                                                                                                                     │
           │         which is an array of booleans indexed by integers:                                                                                                                                         │
           │         ```                                                                                                                                                                                        │
           │         def shared_vars(self):                                                                                                                                                                     │
           │             self.z = Array(Integer(), Boolean())                                                                                                                                                   │
           │         ```                                                                                                                                                                                        │
           │         """                                                                                                                                                                                        │
           │         pass                                                                                                                                                                                       │
           │                                                                                                                                                                                                    │
           │     def instances(self):                                                                                                                                                                           │
           │         """(Optional) Defines the instances of other modules and relates their                                                                                                                     │
           │         input, output, and shared variables to local variables. Every instance                                                                                                                     │
           │         variable must be related to a local variable. For example, let M be                                                                                                                        │
           │         another module with inputs x and y, and output z. The following                                                                                                                            │
           │         implementation defines an instance of M called m, and connects M's                                                                                                                         │
           │         input variable x to the local variable self.a, M's input variable y to                                                                                                                     │
           │         the local variable self.b, and M's output variable z to the local                                                                                                                          │
           │         variable self.c:                                                                                                                                                                           │
           │         ```                                                                                                                                                                                        │
           │         def instances(self):                                                                                                                                                                       │
           │             self.m = M(x=self.a, y=self.b, z=self.c)                                                                                                                                               │
           │         ```                                                                                                                                                                                        │
           │         """                                                                                                                                                                                        │
           │         pass                                                                                                                                                                                       │
           │                                                                                                                                                                                                    │
           │     def init(self):                                                                                                                                                                                │
           │         """(Optional) Defines how variables are initialized.                                                                                                                                       │
           │         For example, the following implementation initializes x to 0 if y is                                                                                                                       │
           │         greater than or equal to 20:                                                                                                                                                               │
           │         ```                                                                                                                                                                                        │
           │         def init(self):                                                                                                                                                                            │
           │             if self.y >= 20:                                                                                                                                                                       │
           │                 self.x = 0                                                                                                                                                                         │
           │         ```                                                                                                                                                                                        │
           │         """                                                                                                                                                                                        │
           │         pass                                                                                                                                                                                       │
           │                                                                                                                                                                                                    │
           │     def next(self):                                                                                                                                                                                │
           │         """(Optional) Defines the transition relation.                                                                                                                                             │
           │         For example, the following implementation increments x or decrements y                                                                                                                     │
           │         depending on z:                                                                                                                                                                            │
           │         ```                                                                                                                                                                                        │
           │         def next(self):                                                                                                                                                                            │
           │             if self.z:                                                                                                                                                                             │
           │                 self.x = self.x + 1                                                                                                                                                                │
           │             else:                                                                                                                                                                                  │
           │                 self.y = self.y - 1                                                                                                                                                                │
           │         ```                                                                                                                                                                                        │
           │         """                                                                                                                                                                                        │
           │         pass                                                                                                                                                                                       │
           │                                                                                                                                                                                                    │
           │     def specification(self):                                                                                                                                                                       │
           │         """(Optional) Defines the specification in terms of invariant properties.                                                                                                                  │
           │                                                                                                                                                                                                    │
           │         Returns:                                                                                                                                                                                   │
           │             bool: True if the specification is satisfied, False otherwise.                                                                                                                         │
           │                                                                                                                                                                                                    │
           │         For example, the following implementation defines two invariants:                                                                                                                          │
           │         ```                                                                                                                                                                                        │
           │         def specification(self):                                                                                                                                                                   │
           │             return self.x < 10 and self.y > 0                                                                                                                                                      │
           │         """                                                                                                                                                                                        │
           │         pass                                                                                                                                                                                       │
           │                                                                                                                                                                                                    │
           │     def proof(self):                                                                                                                                                                               │
           │         """(Optional) Defines the control block.                                                                                                                                                   │
           │         For example, the following implementation uses 1-induction to prove                                                                                                                        │
           │         that the specification always holds:                                                                                                                                                       │
           │         ```                                                                                                                                                                                        │
           │         def proof(self):                                                                                                                                                                           │
           │             induction(1)                                                                                                                                                                           │
           │         ```                                                                                                                                                                                        │
           │         """                                                                                                                                                                                        │
           │         pass                                                                                                                                                                                       │
           │ ```                                                                                                                                                                                                │
           │                                                                                                                                                                                                    │
           │ I can definitely do that! Here is the fixed Python code:                                                                                                                                           │
           │ ```python                                                                                                                                                                                          │
           │                                                                                                                                                                                                    │
           ╰────────────────────────────────────────────────────────────────────────────────────────────────────────────────────────────────────────────────────────────────────────────────────────────────────╯
[22:37:15] ╭─────────────────────────────────────────────────────────────────────────────────────────── 🧠 Response: ───────────────────────────────────────────────────────────────────────────────────────────╮ utils.py:42
           │ ```python                                                                                                                                                                                          │
           │ class RiverCrossingModule(Module):                                                                                                                                                                 │
           │     def types(self):                                                                                                                                                                               │
           │         self.Location = Enum("oneSide", "otherSide")                                                                                                                                               │
           │         self.Carry = Enum("cabbage", "goat", "wolf", "none")                                                                                                                                       │
           │                                                                                                                                                                                                    │
           │     def locals(self):                                                                                                                                                                              │
           │         self.invalid_states = bool                                                                                                                                                                 │
           │         self.ferryman = self.Location                                                                                                                                                              │
           │         self.goat = self.Location                                                                                                                                                                  │
           │         self.cabbage = self.Location                                                                                                                                                               │
           │         self.wolf = self.Location                                                                                                                                                                  │
           │         self.carry = self.Carry                                                                                                                                                                    │
           │                                                                                                                                                                                                    │
           │     def init(self):                                                                                                                                                                                │
           │         self.ferryman = "oneSide"                                                                                                                                                                  │
           │         self.goat = "oneSide"                                                                                                                                                                      │
           │         self.cabbage = "oneSide"                                                                                                                                                                   │
           │         self.wolf = "oneSide"                                                                                                                                                                      │
           │         self.carry = "none"                                                                                                                                                                        │
           │                                                                                                                                                                                                    │
           │     def next(self):                                                                                                                                                                                │
           │         if self.carry == "none":                                                                                                                                                                   │
           │             self.ferryman = "otherSide" if self.ferryman == "oneSide" else "oneSide"                                                                                                               │
           │         else:                                                                                                                                                                                      │
           │             if self.carry == "cabbage":                                                                                                                                                            │
           │                 if self.ferryman == self.cabbage:                                                                                                                                                  │
           │                     self.cabbage = "otherSide" if self.cabbage == "oneSide" else "oneSide"                                                                                                         │
           │             elif self.carry == "goat":                                                                                                                                                             │
           │                 if self.ferryman == self.goat:                                                                                                                                                     │
           │                     self.goat = "otherSide" if self.goat == "oneSide" else "oneSide"                                                                                                               │
           │             elif self.carry == "wolf":                                                                                                                                                             │
           │                 if self.ferryman == self.wolf:                                                                                                                                                     │
           │                     self.wolf = "otherSide" if self.wolf == "oneSide" else "oneSide"                                                                                                               │
           │             self.ferryman = "otherSide" if self.ferryman == "oneSide" else "oneSide"                                                                                                               │
           │         self.invalid_states = ((self.goat == self.cabbage) and (self.goat != self.ferryman)) or ((self.goat == self.wolf) and (self.goat != self.ferryman))                                        │
           │         if self.invalid_states:                                                                                                                                                                    │
           │             self.ferryman = "oneSide"                                                                                                                                                              │
           │             self.carry = "none"                                                                                                                                                                    │
           │                                                                                                                                                                                                    │
           │     def specification(self):                                                                                                                                                                       │
           │         return self.ferryman == "otherSide" and self.goat == "otherSide" and self.cabbage == "otherSide" and self.wolf == "otherSide" and not self.invalid_states                                  │
           │                                                                                                                                                                                                    │
           │ ```                                                                                                                                                                                                │
           │ This revised version of the `RiverCrossingModule` class within the Python-style module system addresses the river crossing challenge by defining the key enumerations for location and what the    │
           │ ferryman may carry, initializes the state, specifies transitions depending on the carry state, and checks for invalid states where conflicts may occur due to proximity without the ferryman's     │
           │ supervision. The specification function checks if the goal state (all on the other side without any conflicts) is achieved.                                                                        │
           ╰────────────────────────────────────────────────────────────────────────────────────────────────────────────────────────────────────────────────────────────────────────────────────────────────────╯
           ╭────────────────────────────────────────────────────────────────────────── 🤖 Extracted: ──────────────────────────────────────────────────────────────────────────╮                                  utils.py:24
           │                                                                                                                                                                   │
           │ class RiverCrossingModule(Module):                                                                                                                                │
           │     def types(self):                                                                                                                                              │
           │         self.Location = Enum("oneSide", "otherSide")                                                                                                              │
           │         self.Carry = Enum("cabbage", "goat", "wolf", "none")                                                                                                      │
           │                                                                                                                                                                   │
           │     def locals(self):                                                                                                                                             │
           │         self.invalid_states = bool                                                                                                                                │
           │         self.ferryman = self.Location                                                                                                                             │
           │         self.goat = self.Location                                                                                                                                 │
           │         self.cabbage = self.Location                                                                                                                              │
           │         self.wolf = self.Location                                                                                                                                 │
           │         self.carry = self.Carry                                                                                                                                   │
           │                                                                                                                                                                   │
           │     def init(self):                                                                                                                                               │
           │         self.ferryman = "oneSide"                                                                                                                                 │
           │         self.goat = "oneSide"                                                                                                                                     │
           │         self.cabbage = "oneSide"                                                                                                                                  │
           │         self.wolf = "oneSide"                                                                                                                                     │
           │         self.carry = "none"                                                                                                                                       │
           │                                                                                                                                                                   │
           │     def next(self):                                                                                                                                               │
           │         if self.carry == "none":                                                                                                                                  │
           │             self.ferryman = "otherSide" if self.ferryman == "oneSide" else "oneSide"                                                                              │
           │         else:                                                                                                                                                     │
           │             if self.carry == "cabbage":                                                                                                                           │
           │                 if self.ferryman == self.cabbage:                                                                                                                 │
           │                     self.cabbage = "otherSide" if self.cabbage == "oneSide" else "oneSide"                                                                        │
           │             elif self.carry == "goat":                                                                                                                            │
           │                 if self.ferryman == self.goat:                                                                                                                    │
           │                     self.goat = "otherSide" if self.goat == "oneSide" else "oneSide"                                                                              │
           │             elif self.carry == "wolf":                                                                                                                            │
           │                 if self.ferryman == self.wolf:                                                                                                                    │
           │                     self.wolf = "otherSide" if self.wolf == "oneSide" else "oneSide"                                                                              │
           │             self.ferryman = "otherSide" if self.ferryman == "oneSide" else "oneSide"                                                                              │
           │         self.invalid_states = ((self.goat == self.cabbage) and (self.goat != self.ferryman)) or ((self.goat == self.wolf) and (self.goat != self.ferryman))       │
           │         if self.invalid_states:                                                                                                                                   │
           │             self.ferryman = "oneSide"                                                                                                                             │
           │             self.carry = "none"                                                                                                                                   │
           │                                                                                                                                                                   │
           │     def specification(self):                                                                                                                                      │
           │         return self.ferryman == "otherSide" and self.goat == "otherSide" and self.cabbage == "otherSide" and self.wolf == "otherSide" and not self.invalid_states │
           ╰───────────────────────────────────────────────────────────────────────────────────────────────────────────────────────────────────────────────────────────────────╯
[22:37:16] ╭──────────────────────────────────────────────────────────────────────────────── 🤖 Repaired: ─────────────────────────────────────────────────────────────────────────────────╮                      utils.py:24
           │ class RiverCrossingModule(Module):                                                                                                                                            │
           │   def types(self):                                                                                                                                                            │
           │     self.Location = Enum("oneSide", "otherSide")                                                                                                                              │
           │     self.Carry = Enum("cabbage", "goat", "none", "wolf")                                                                                                                      │
           │                                                                                                                                                                               │
           │   def locals(self):                                                                                                                                                           │
           │     self.invalid_states = bool                                                                                                                                                │
           │     self.ferryman = self.Location                                                                                                                                             │
           │     self.goat = self.Location                                                                                                                                                 │
           │     self.cabbage = self.Location                                                                                                                                              │
           │     self.wolf = self.Location                                                                                                                                                 │
           │     self.carry = self.Carry                                                                                                                                                   │
           │                                                                                                                                                                               │
           │   def init(self):                                                                                                                                                             │
           │     self.ferryman = "oneSide"                                                                                                                                                 │
           │     self.goat = "oneSide"                                                                                                                                                     │
           │     self.cabbage = "oneSide"                                                                                                                                                  │
           │     self.wolf = "oneSide"                                                                                                                                                     │
           │     self.carry = "none"                                                                                                                                                       │
           │                                                                                                                                                                               │
           │   def next(self):                                                                                                                                                             │
           │     if (self.carry == "none"):                                                                                                                                                │
           │       self.ferryman = ("otherSide" if (self.ferryman == "oneSide") else "oneSide")                                                                                            │
           │     else:                                                                                                                                                                     │
           │       if (self.carry == ??):                                                                                                                                                  │
           │         if (self.ferryman == self.cabbage):                                                                                                                                   │
           │           self.cabbage = ("otherSide" if (self.cabbage == "oneSide") else "oneSide")                                                                                          │
           │       else:                                                                                                                                                                   │
           │         if (self.carry == ??):                                                                                                                                                │
           │           if (self.ferryman == self.goat):                                                                                                                                    │
           │             self.goat = ("otherSide" if (self.goat == "oneSide") else "oneSide")                                                                                              │
           │         else:                                                                                                                                                                 │
           │           if (self.carry == ??):                                                                                                                                              │
           │             if (self.ferryman == self.wolf):                                                                                                                                  │
           │               self.wolf = ("otherSide" if (self.wolf == "oneSide") else "oneSide")                                                                                            │
           │       self.ferryman = ("otherSide" if (self.ferryman == "oneSide") else "oneSide")                                                                                            │
           │     self.invalid_states = (((self.goat == self.cabbage) and (self.goat != self.ferryman)) or ((self.goat == self.wolf) and (self.goat != self.ferryman)))                     │
           │     if self.invalid_states:                                                                                                                                                   │
           │       self.ferryman = "oneSide"                                                                                                                                               │
           │       self.carry = "none"                                                                                                                                                     │
           │                                                                                                                                                                               │
           │   def specification(self):                                                                                                                                                    │
           │     return (((((self.ferryman == "otherSide") and (self.goat == "otherSide")) and (self.cabbage == "otherSide")) and (self.wolf == "otherSide")) and not self.invalid_states) │
           │                                                                                                                                                                               │
           │                                                                                                                                                                               │
           ╰───────────────────────────────────────────────────────────────────────────────────────────────────────────────────────────────────────────────────────────────────────────────╯
           ╭────── 🤖 Stats: ───────╮                                                                                                                                                                             utils.py:24
           │ Original Lines: 54     │
           │ Final Lines:    44     │
           │ LLM Calls:      5      │
           │ LLM Time:       92.49s │
           │ Repair Time:    5.05s  │
           ╰────────────────────────╯
