[20:53:04] ╭──────────────────────────────────────────────────────────────────────────────────────────── 🤖 Prompt: ────────────────────────────────────────────────────────────────────────────────────────────╮ utils.py:24
           │ Write Python code that extends the `Module` class below to complete the following task.                                                                                                            │
           │                                                                                                                                                                                                    │
           │ > Build a model for the classic dining philosophers problem: Five philosophers are sitting at a round table with a bowl of rice in the middle. For the philosophers (being a little unworldly)     │
           │ life consists of thinking and eating (and waiting, as we will see). To take some rice out of the bowl, a philosopher needs two chopsticks. In between two neighboring philosophers, however, there │
           │ is only a single chopstick. Thus, at any time only one of two neighboring philosophers can eat. Of course, the use of the chopsticks is exclusive and eating with hands is forbidden.  Write a     │
           │ property that checks whether deadlock is possible. Use the variable names phil1, phil2, phil3, phil4, phil5, chopstick1, chopstick2, chopstick3, chopstick4, and chopstick5.                       │
           │                                                                                                                                                                                                    │
           │ 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                                                                                                                                                                                          │
           │                                                                                                                                                                                                    │
           ╰────────────────────────────────────────────────────────────────────────────────────────────────────────────────────────────────────────────────────────────────────────────────────────────────────╯
[20:53:10] ╭────────────────────────────── 🧠 Response: ───────────────────────────────╮                                                                                                                          utils.py:42
           │ class Module:                                                             │
           │     """An abstract class to represent a UCLID5 module."""                 │
           │                                                                           │
           │     def types(self):                                                      │
           │         """Defines the type declarations."""                              │
           │                                                                           │
           │         self.Boolean = Boolean()                                          │
           │                                                                           │
           │     def locals(self):                                                     │
           │         """Defines the local variables and their types."""                │
           │                                                                           │
           │         self.phil1 = Boolean()                                            │
           │         self.phil2 = Boolean()                                            │
           │         self.phil3 = Boolean()                                            │
           │         self.phil4 = Boolean()                                            │
           │         self.phil5 = Boolean()                                            │
           │         self.chopstick1 = Boolean()                                       │
           │         self.chopstick2 = Boolean()                                       │
           │         self.chopstick3 = Boolean()                                       │
           │         self.chopstick4 = Boolean()                                       │
           │         self.chopstick5 = Boolean()                                       │
           │                                                                           │
           │     def init(self):                                                       │
           │         """Defines how variables are initialized."""                      │
           │                                                                           │
           │         self.phil1 = False                                                │
           │         self.phil2 = False                                                │
           │         self.phil3 = False                                                │
           │         self.phil4 = False                                                │
           │         self.phil5 = False                                                │
           │         self.chopstick1 = False                                           │
           │         self.chopstick2 = False                                           │
           │         self.chopstick3 = False                                           │
           │         self.chopstick4 = False                                           │
           │         self.chopstick5 = False                                           │
           │                                                                           │
           │     def next(self):                                                       │
           │         """Defines the transition relation."""                            │
           │                                                                           │
           │         self.chopstick1 = self.phil1 ^ self.phil2                         │
           │         self.chopstick2 = self.phil2 ^ self.phil3                         │
           │         self.chopstick3 = self.phil3 ^ self.phil4                         │
           │         self.chopstick4 = self.phil4 ^ self.phil5                         │
           │         self.chopstick5 = self.phil5 ^ self.phil1                         │
           │                                                                           │
           │     def specification(self):                                              │
           │         """Defines the specification in terms of invariant properties.""" │
           │                                                                           │
           │         return And(                                                       │
           │             Implies(self.phil1, Not(self.chopstick1)),                    │
           │             Implies(self.phil2, Not(self.chopstick2)),                    │
           │             Implies(self.phil3, Not(self.chopstick3)),                    │
           │             Implies(self.phil4, Not(self.chopstick4)),                    │
           │             Implies(self.phil5, Not(self.chopstick5))                     │
           │         )                                                                 │
           │ ```                                                                       │
           ╰───────────────────────────────────────────────────────────────────────────╯
           ╭────────────────────────────── 🤖 Extracted: ──────────────────────────────╮                                                                                                                          utils.py:24
           │                                                                           │
           │ class Module:                                                             │
           │     """An abstract class to represent a UCLID5 module."""                 │
           │                                                                           │
           │     def types(self):                                                      │
           │         """Defines the type declarations."""                              │
           │                                                                           │
           │         self.Boolean = Boolean()                                          │
           │                                                                           │
           │     def locals(self):                                                     │
           │         """Defines the local variables and their types."""                │
           │                                                                           │
           │         self.phil1 = Boolean()                                            │
           │         self.phil2 = Boolean()                                            │
           │         self.phil3 = Boolean()                                            │
           │         self.phil4 = Boolean()                                            │
           │         self.phil5 = Boolean()                                            │
           │         self.chopstick1 = Boolean()                                       │
           │         self.chopstick2 = Boolean()                                       │
           │         self.chopstick3 = Boolean()                                       │
           │         self.chopstick4 = Boolean()                                       │
           │         self.chopstick5 = Boolean()                                       │
           │                                                                           │
           │     def init(self):                                                       │
           │         """Defines how variables are initialized."""                      │
           │                                                                           │
           │         self.phil1 = False                                                │
           │         self.phil2 = False                                                │
           │         self.phil3 = False                                                │
           │         self.phil4 = False                                                │
           │         self.phil5 = False                                                │
           │         self.chopstick1 = False                                           │
           │         self.chopstick2 = False                                           │
           │         self.chopstick3 = False                                           │
           │         self.chopstick4 = False                                           │
           │         self.chopstick5 = False                                           │
           │                                                                           │
           │     def next(self):                                                       │
           │         """Defines the transition relation."""                            │
           │                                                                           │
           │         self.chopstick1 = self.phil1 ^ self.phil2                         │
           │         self.chopstick2 = self.phil2 ^ self.phil3                         │
           │         self.chopstick3 = self.phil3 ^ self.phil4                         │
           │         self.chopstick4 = self.phil4 ^ self.phil5                         │
           │         self.chopstick5 = self.phil5 ^ self.phil1                         │
           │                                                                           │
           │     def specification(self):                                              │
           │         """Defines the specification in terms of invariant properties.""" │
           │                                                                           │
           │         return And(                                                       │
           │             Implies(self.phil1, Not(self.chopstick1)),                    │
           │             Implies(self.phil2, Not(self.chopstick2)),                    │
           │             Implies(self.phil3, Not(self.chopstick3)),                    │
           │             Implies(self.phil4, Not(self.chopstick4)),                    │
           │             Implies(self.phil5, Not(self.chopstick5))                     │
           │         )                                                                 │
           ╰───────────────────────────────────────────────────────────────────────────╯
           ╭─────── 🤖 Repaired: ────────╮                                                                                                                                                                        utils.py:24
           │ class Module(Module):       │
           │   def locals(self):         │
           │     self.phil1 = bool       │
           │     self.phil2 = bool       │
           │     self.phil3 = bool       │
           │     self.phil4 = bool       │
           │     self.phil5 = bool       │
           │     self.chopstick1 = bool  │
           │     self.chopstick2 = bool  │
           │     self.chopstick3 = bool  │
           │     self.chopstick4 = bool  │
           │     self.chopstick5 = bool  │
           │                             │
           │   def init(self):           │
           │     self.phil1 = False      │
           │     self.phil2 = False      │
           │     self.phil3 = False      │
           │     self.phil4 = False      │
           │     self.phil5 = False      │
           │     self.chopstick1 = False │
           │     self.chopstick2 = False │
           │     self.chopstick3 = False │
           │     self.chopstick4 = False │
           │     self.chopstick5 = False │
           │                             │
           │   def next(self):           │
           │     self.chopstick1 = ??    │
           │     self.chopstick2 = ??    │
           │     self.chopstick3 = ??    │
           │     self.chopstick4 = ??    │
           │     self.chopstick5 = ??    │
           │                             │
           │   def specification(self):  │
           │     return ??               │
           │                             │
           │                             │
           ╰─────────────────────────────╯
           ╭──────────────────────────────────────────────────────────────────────────────────────────── 🤖 Prompt: ────────────────────────────────────────────────────────────────────────────────────────────╮ utils.py:24
           │                                                                                                                                                                                                    │
           │ Fix the following Python code by replacing every occurrence of `??` with the correct code.                                                                                                         │
           │ ```python                                                                                                                                                                                          │
           │ class Module(Module):                                                                                                                                                                              │
           │   def locals(self):                                                                                                                                                                                │
           │     self.phil1 = bool                                                                                                                                                                              │
           │     self.phil2 = bool                                                                                                                                                                              │
           │     self.phil3 = bool                                                                                                                                                                              │
           │     self.phil4 = bool                                                                                                                                                                              │
           │     self.phil5 = bool                                                                                                                                                                              │
           │     self.chopstick1 = bool                                                                                                                                                                         │
           │     self.chopstick2 = bool                                                                                                                                                                         │
           │     self.chopstick3 = bool                                                                                                                                                                         │
           │     self.chopstick4 = bool                                                                                                                                                                         │
           │     self.chopstick5 = bool                                                                                                                                                                         │
           │                                                                                                                                                                                                    │
           │   def init(self):                                                                                                                                                                                  │
           │     self.phil1 = False                                                                                                                                                                             │
           │     self.phil2 = False                                                                                                                                                                             │
           │     self.phil3 = False                                                                                                                                                                             │
           │     self.phil4 = False                                                                                                                                                                             │
           │     self.phil5 = False                                                                                                                                                                             │
           │     self.chopstick1 = False                                                                                                                                                                        │
           │     self.chopstick2 = False                                                                                                                                                                        │
           │     self.chopstick3 = False                                                                                                                                                                        │
           │     self.chopstick4 = False                                                                                                                                                                        │
           │     self.chopstick5 = False                                                                                                                                                                        │
           │                                                                                                                                                                                                    │
           │   def next(self):                                                                                                                                                                                  │
           │     self.chopstick1 = ??                                                                                                                                                                           │
           │     self.chopstick2 = ??                                                                                                                                                                           │
           │     self.chopstick3 = ??                                                                                                                                                                           │
           │     self.chopstick4 = ??                                                                                                                                                                           │
           │     self.chopstick5 = ??                                                                                                                                                                           │
           │                                                                                                                                                                                                    │
           │   def specification(self):                                                                                                                                                                         │
           │     return ??                                                                                                                                                                                      │
           │                                                                                                                                                                                                    │
           │                                                                                                                                                                                                    │
           │ ```                                                                                                                                                                                                │
           │ Make sure that your code extends the `Module` class below and that it completes the following task.                                                                                                │
           │                                                                                                                                                                                                    │
           │ > Build a model for the classic dining philosophers problem: Five philosophers are sitting at a round table with a bowl of rice in the middle. For the philosophers (being a little unworldly)     │
           │ life consists of thinking and eating (and waiting, as we will see). To take some rice out of the bowl, a philosopher needs two chopsticks. In between two neighboring philosophers, however, there │
           │ is only a single chopstick. Thus, at any time only one of two neighboring philosophers can eat. Of course, the use of the chopsticks is exclusive and eating with hands is forbidden.  Write a     │
           │ property that checks whether deadlock is possible. Use the variable names phil1, phil2, phil3, phil4, phil5, chopstick1, chopstick2, chopstick3, chopstick4, and chopstick5.                       │
           │                                                                                                                                                                                                    │
           │ 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                                                                                                                                                                                          │
           │                                                                                                                                                                                                    │
           ╰────────────────────────────────────────────────────────────────────────────────────────────────────────────────────────────────────────────────────────────────────────────────────────────────────╯
[20:53:15] ╭────────────────────────────────────────────────── 🧠 Response: ──────────────────────────────────────────────────╮                                                                                   utils.py:42
           │ class Module(Module):                                                                                            │
           │   def locals(self):                                                                                              │
           │     self.phil1 = bool                                                                                            │
           │     self.phil2 = bool                                                                                            │
           │     self.phil3 = bool                                                                                            │
           │     self.phil4 = bool                                                                                            │
           │     self.phil5 = bool                                                                                            │
           │     self.chopstick1 = bool                                                                                       │
           │     self.chopstick2 = bool                                                                                       │
           │     self.chopstick3 = bool                                                                                       │
           │     self.chopstick4 = bool                                                                                       │
           │     self.chopstick5 = bool                                                                                       │
           │                                                                                                                  │
           │   def init(self):                                                                                                │
           │     self.phil1 = False                                                                                           │
           │     self.phil2 = False                                                                                           │
           │     self.phil3 = False                                                                                           │
           │     self.phil4 = False                                                                                           │
           │     self.phil5 = False                                                                                           │
           │     self.chopstick1 = False                                                                                      │
           │     self.chopstick2 = False                                                                                      │
           │     self.chopstick3 = False                                                                                      │
           │     self.chopstick4 = False                                                                                      │
           │     self.chopstick5 = False                                                                                      │
           │                                                                                                                  │
           │   def next(self):                                                                                                │
           │     self.chopstick1 = not self.chopstick1 and self.phil1 and self.phil2                                          │
           │     self.chopstick2 = not self.chopstick2 and self.phil2 and self.phil3                                          │
           │     self.chopstick3 = not self.chopstick3 and self.phil3 and self.phil4                                          │
           │     self.chopstick4 = not self.chopstick4 and self.phil4 and self.phil5                                          │
           │     self.chopstick5 = not self.chopstick5 and self.phil1 and self.phil5                                          │
           │                                                                                                                  │
           │   def specification(self):                                                                                       │
           │     return not (self.chopstick1 and self.chopstick2 and self.chopstick3 and self.chopstick4 and self.chopstick5) │
           │                                                                                                                  │
           │ ```                                                                                                              │
           ╰──────────────────────────────────────────────────────────────────────────────────────────────────────────────────╯
           ╭───────────────────────────────────────────────── 🤖 Extracted: ──────────────────────────────────────────────────╮                                                                                   utils.py:24
           │                                                                                                                  │
           │ class Module(Module):                                                                                            │
           │   def locals(self):                                                                                              │
           │     self.phil1 = bool                                                                                            │
           │     self.phil2 = bool                                                                                            │
           │     self.phil3 = bool                                                                                            │
           │     self.phil4 = bool                                                                                            │
           │     self.phil5 = bool                                                                                            │
           │     self.chopstick1 = bool                                                                                       │
           │     self.chopstick2 = bool                                                                                       │
           │     self.chopstick3 = bool                                                                                       │
           │     self.chopstick4 = bool                                                                                       │
           │     self.chopstick5 = bool                                                                                       │
           │                                                                                                                  │
           │   def init(self):                                                                                                │
           │     self.phil1 = False                                                                                           │
           │     self.phil2 = False                                                                                           │
           │     self.phil3 = False                                                                                           │
           │     self.phil4 = False                                                                                           │
           │     self.phil5 = False                                                                                           │
           │     self.chopstick1 = False                                                                                      │
           │     self.chopstick2 = False                                                                                      │
           │     self.chopstick3 = False                                                                                      │
           │     self.chopstick4 = False                                                                                      │
           │     self.chopstick5 = False                                                                                      │
           │                                                                                                                  │
           │   def next(self):                                                                                                │
           │     self.chopstick1 = not self.chopstick1 and self.phil1 and self.phil2                                          │
           │     self.chopstick2 = not self.chopstick2 and self.phil2 and self.phil3                                          │
           │     self.chopstick3 = not self.chopstick3 and self.phil3 and self.phil4                                          │
           │     self.chopstick4 = not self.chopstick4 and self.phil4 and self.phil5                                          │
           │     self.chopstick5 = not self.chopstick5 and self.phil1 and self.phil5                                          │
           │                                                                                                                  │
           │   def specification(self):                                                                                       │
           │     return not (self.chopstick1 and self.chopstick2 and self.chopstick3 and self.chopstick4 and self.chopstick5) │
           ╰──────────────────────────────────────────────────────────────────────────────────────────────────────────────────╯
           ╭───────────────────────────────────────────────────── 🤖 Repaired: ─────────────────────────────────────────────────────╮                                                                             utils.py:24
           │ class Module(Module):                                                                                                  │
           │   def locals(self):                                                                                                    │
           │     self.phil1 = bool                                                                                                  │
           │     self.phil2 = bool                                                                                                  │
           │     self.phil3 = bool                                                                                                  │
           │     self.phil4 = bool                                                                                                  │
           │     self.phil5 = bool                                                                                                  │
           │     self.chopstick1 = bool                                                                                             │
           │     self.chopstick2 = bool                                                                                             │
           │     self.chopstick3 = bool                                                                                             │
           │     self.chopstick4 = bool                                                                                             │
           │     self.chopstick5 = bool                                                                                             │
           │                                                                                                                        │
           │   def init(self):                                                                                                      │
           │     self.phil1 = False                                                                                                 │
           │     self.phil2 = False                                                                                                 │
           │     self.phil3 = False                                                                                                 │
           │     self.phil4 = False                                                                                                 │
           │     self.phil5 = False                                                                                                 │
           │     self.chopstick1 = False                                                                                            │
           │     self.chopstick2 = False                                                                                            │
           │     self.chopstick3 = False                                                                                            │
           │     self.chopstick4 = False                                                                                            │
           │     self.chopstick5 = False                                                                                            │
           │                                                                                                                        │
           │   def next(self):                                                                                                      │
           │     self.chopstick1 = ((not self.chopstick1 and self.phil1) and self.phil2)                                            │
           │     self.chopstick2 = ((not self.chopstick2 and self.phil2) and self.phil3)                                            │
           │     self.chopstick3 = ((not self.chopstick3 and self.phil3) and self.phil4)                                            │
           │     self.chopstick4 = ((not self.chopstick4 and self.phil4) and self.phil5)                                            │
           │     self.chopstick5 = ((not self.chopstick5 and self.phil1) and self.phil5)                                            │
           │                                                                                                                        │
           │   def specification(self):                                                                                             │
           │     return not ((((self.chopstick1 and self.chopstick2) and self.chopstick3) and self.chopstick4) and self.chopstick5) │
           │                                                                                                                        │
           │                                                                                                                        │
           ╰────────────────────────────────────────────────────────────────────────────────────────────────────────────────────────╯
           ╭────── 🤖 Stats: ───────╮                                                                                                                                                                             utils.py:24
           │ Original Lines: 56     │
           │ Final Lines:    35     │
           │ LLM Calls:      2      │
           │ LLM Time:       10.20s │
           │ Repair Time:    0.57s  │
           ╰────────────────────────╯
