[22:42:51] ╭──────────────────────────────────────────────────────────────────────────────────────────── 🤖 Prompt: ────────────────────────────────────────────────────────────────────────────────────────────╮ utils.py:24
           │ Write Python code that extends the `Module` class below to complete the following task.                                                                                                            │
           │                                                                                                                                                                                                    │
           │ > Model the following feature for an automobile: Once the engine is started, a beeper is sounded and a red light warning is indicated if there are passengers that have not buckled their seat     │
           │ belt. The beeper stops sounding after 30 seconds, or as soon the seat belts are buckled, whichever is sooner. The warning light is on all the time the seat belt is un-buckled. Hint: Assume the   │
           │ sensors provide a warn event when the ignition is turned on and there is a seat with passenger not buckled in, or if the ignition is already on and a passenger sits in a seat without buckling    │
           │ the seatbelt. Assume further that the sensors provide a noWarn event when a passenger departs from a seat, or when the buckle is buckled, or when the ignition is turned off. Use the variable     │
           │ names warn, nowarn, time, ignitian and bucked.                                                                                                                                                     │
           │                                                                                                                                                                                                    │
           │ Reply with your Python code inside one unique code block.                                                                                                                                          │
           │                                                                                                                                                                                                    │
           │ ```python                                                                                                                                                                                          │
           │ class Module:                                                                                                                                                                                      │
           │     """An abstract class to represent a UCLID5 module."""                                                                                                                                          │
           │                                                                                                                                                                                                    │
           │     def types(self):                                                                                                                                                                               │
           │         """(Optional) Defines the type declarations.                                                                                                                                               │
           │         For example, the following implementation defines a 8-bit type called T:                                                                                                                   │
           │         ```                                                                                                                                                                                        │
           │         def types(self):                                                                                                                                                                           │
           │             self.T = BitVector(8)                                                                                                                                                                  │
           │         ```                                                                                                                                                                                        │
           │         """                                                                                                                                                                                        │
           │         pass                                                                                                                                                                                       │
           │                                                                                                                                                                                                    │
           │     def locals(self):                                                                                                                                                                              │
           │         """(Optional) Defines the local variables and their types.                                                                                                                                 │
           │         For example, the following implementation defines an 8-bit variable x                                                                                                                      │
           │         and an integer variable y:                                                                                                                                                                 │
           │         ```                                                                                                                                                                                        │
           │         def locals(self):                                                                                                                                                                          │
           │             self.x = BitVector(8)                                                                                                                                                                  │
           │             self.y = Integer()                                                                                                                                                                     │
           │         ```                                                                                                                                                                                        │
           │         """                                                                                                                                                                                        │
           │         pass                                                                                                                                                                                       │
           │                                                                                                                                                                                                    │
           │     def inputs(self):                                                                                                                                                                              │
           │         """(Optional) Defines the input variables and their types.                                                                                                                                 │
           │         For example, the following implementation defines an input variable x,                                                                                                                     │
           │         which is an array of 8-bit bitvectors indexed by 2-bit bitvectors:                                                                                                                         │
           │         ```                                                                                                                                                                                        │
           │         def inputs(self):                                                                                                                                                                          │
           │             self.x = Array(BitVector(2), BitVector(8))                                                                                                                                             │
           │         ```                                                                                                                                                                                        │
           │         """                                                                                                                                                                                        │
           │         pass                                                                                                                                                                                       │
           │                                                                                                                                                                                                    │
           │     def outputs(self):                                                                                                                                                                             │
           │         """(Optional) Defines the output variables and their types.                                                                                                                                │
           │         For example, the following implementation defines an output variable y,                                                                                                                    │
           │         which is a real number:                                                                                                                                                                    │
           │         ```                                                                                                                                                                                        │
           │         def outputs(self):                                                                                                                                                                         │
           │             self.y = Real()                                                                                                                                                                        │
           │         ```                                                                                                                                                                                        │
           │         """                                                                                                                                                                                        │
           │         pass                                                                                                                                                                                       │
           │                                                                                                                                                                                                    │
           │     def shared_vars(self):                                                                                                                                                                         │
           │         """(Optional) Defines the shared variables and their types.                                                                                                                                │
           │         For example, the following implementation defines a shared variable z,                                                                                                                     │
           │         which is an array of booleans indexed by integers:                                                                                                                                         │
           │         ```                                                                                                                                                                                        │
           │         def shared_vars(self):                                                                                                                                                                     │
           │             self.z = Array(Integer(), Boolean())                                                                                                                                                   │
           │         ```                                                                                                                                                                                        │
           │         """                                                                                                                                                                                        │
           │         pass                                                                                                                                                                                       │
           │                                                                                                                                                                                                    │
           │     def instances(self):                                                                                                                                                                           │
           │         """(Optional) Defines the instances of other modules and relates their                                                                                                                     │
           │         input, output, and shared variables to local variables. Every instance                                                                                                                     │
           │         variable must be related to a local variable. For example, let M be                                                                                                                        │
           │         another module with inputs x and y, and output z. The following                                                                                                                            │
           │         implementation defines an instance of M called m, and connects M's                                                                                                                         │
           │         input variable x to the local variable self.a, M's input variable y to                                                                                                                     │
           │         the local variable self.b, and M's output variable z to the local                                                                                                                          │
           │         variable self.c:                                                                                                                                                                           │
           │         ```                                                                                                                                                                                        │
           │         def instances(self):                                                                                                                                                                       │
           │             self.m = M(x=self.a, y=self.b, z=self.c)                                                                                                                                               │
           │         ```                                                                                                                                                                                        │
           │         """                                                                                                                                                                                        │
           │         pass                                                                                                                                                                                       │
           │                                                                                                                                                                                                    │
           │     def init(self):                                                                                                                                                                                │
           │         """(Optional) Defines how variables are initialized.                                                                                                                                       │
           │         For example, the following implementation initializes x to 0 if y is                                                                                                                       │
           │         greater than or equal to 20:                                                                                                                                                               │
           │         ```                                                                                                                                                                                        │
           │         def init(self):                                                                                                                                                                            │
           │             if self.y >= 20:                                                                                                                                                                       │
           │                 self.x = 0                                                                                                                                                                         │
           │         ```                                                                                                                                                                                        │
           │         """                                                                                                                                                                                        │
           │         pass                                                                                                                                                                                       │
           │                                                                                                                                                                                                    │
           │     def next(self):                                                                                                                                                                                │
           │         """(Optional) Defines the transition relation.                                                                                                                                             │
           │         For example, the following implementation increments x or decrements y                                                                                                                     │
           │         depending on z:                                                                                                                                                                            │
           │         ```                                                                                                                                                                                        │
           │         def next(self):                                                                                                                                                                            │
           │             if self.z:                                                                                                                                                                             │
           │                 self.x = self.x + 1                                                                                                                                                                │
           │             else:                                                                                                                                                                                  │
           │                 self.y = self.y - 1                                                                                                                                                                │
           │         ```                                                                                                                                                                                        │
           │         """                                                                                                                                                                                        │
           │         pass                                                                                                                                                                                       │
           │                                                                                                                                                                                                    │
           │     def specification(self):                                                                                                                                                                       │
           │         """(Optional) Defines the specification in terms of invariant properties.                                                                                                                  │
           │                                                                                                                                                                                                    │
           │         Returns:                                                                                                                                                                                   │
           │             bool: True if the specification is satisfied, False otherwise.                                                                                                                         │
           │                                                                                                                                                                                                    │
           │         For example, the following implementation defines two invariants:                                                                                                                          │
           │         ```                                                                                                                                                                                        │
           │         def specification(self):                                                                                                                                                                   │
           │             return self.x < 10 and self.y > 0                                                                                                                                                      │
           │         """                                                                                                                                                                                        │
           │         pass                                                                                                                                                                                       │
           │                                                                                                                                                                                                    │
           │     def proof(self):                                                                                                                                                                               │
           │         """(Optional) Defines the control block.                                                                                                                                                   │
           │         For example, the following implementation uses 1-induction to prove                                                                                                                        │
           │         that the specification always holds:                                                                                                                                                       │
           │         ```                                                                                                                                                                                        │
           │         def proof(self):                                                                                                                                                                           │
           │             induction(1)                                                                                                                                                                           │
           │         ```                                                                                                                                                                                        │
           │         """                                                                                                                                                                                        │
           │         pass                                                                                                                                                                                       │
           │ ```                                                                                                                                                                                                │
           │                                                                                                                                                                                                    │
           │ I can definitely do that! Here is the Python code:                                                                                                                                                 │
           │ ```python                                                                                                                                                                                          │
           │                                                                                                                                                                                                    │
           ╰────────────────────────────────────────────────────────────────────────────────────────────────────────────────────────────────────────────────────────────────────────────────────────────────────╯
[22:43:09] ╭─────────────────────────────────────────────────────────────────────────────────────────── 🧠 Response: ───────────────────────────────────────────────────────────────────────────────────────────╮ utils.py:42
           │ ```python                                                                                                                                                                                          │
           │ class SeatbeltMonitorModule(Module):                                                                                                                                                               │
           │     def types(self):                                                                                                                                                                               │
           │         # Define types used in this module                                                                                                                                                         │
           │         self.Boolean = bool                                                                                                                                                                        │
           │                                                                                                                                                                                                    │
           │     def locals(self):                                                                                                                                                                              │
           │         # Define local variables                                                                                                                                                                   │
           │         self.warning_light = self.Boolean                                                                                                                                                          │
           │         self.beeper_timer = int                                                                                                                                                                    │
           │         self.beeper_active = self.Boolean                                                                                                                                                          │
           │                                                                                                                                                                                                    │
           │     def inputs(self):                                                                                                                                                                              │
           │         # Define input variables                                                                                                                                                                   │
           │         self.ignition = self.Boolean                                                                                                                                                               │
           │         self.warn = self.Boolean                                                                                                                                                                   │
           │         self.no_warn = self.Boolean                                                                                                                                                                │
           │                                                                                                                                                                                                    │
           │     def outputs(self):                                                                                                                                                                             │
           │         # Define output variables                                                                                                                                                                  │
           │         self.red_warning_light = self.Boolean                                                                                                                                                      │
           │         self.beeper = self.Boolean                                                                                                                                                                 │
           │                                                                                                                                                                                                    │
           │     def init(self):                                                                                                                                                                                │
           │         # Initialize variables                                                                                                                                                                     │
           │         self.warning_light = False                                                                                                                                                                 │
           │         self.beeper_timer = 0                                                                                                                                                                      │
           │         self.beeper_active = False                                                                                                                                                                 │
           │                                                                                                                                                                                                    │
           │     def next(self):                                                                                                                                                                                │
           │         # Define the transition relation                                                                                                                                                           │
           │         if self.ignition:                                                                                                                                                                          │
           │             if self.warn:                                                                                                                                                                          │
           │                 self.warning_light = True                                                                                                                                                          │
           │                 self.beeper_timer = 30                                                                                                                                                             │
           │                 self.beeper_active = True                                                                                                                                                          │
           │             if self.no_warn:                                                                                                                                                                       │
           │                 self.warning_light = False                                                                                                                                                         │
           │                                                                                                                                                                                                    │
           │             # Always decrement the beeper timer if it's active                                                                                                                                     │
           │             if self.beeper_timer > 0:                                                                                                                                                              │
           │                 self.beeper_timer -= 1                                                                                                                                                             │
           │                 if self.beeper_timer == 0:                                                                                                                                                         │
           │                     self.beeper_active = False                                                                                                                                                     │
           │                                                                                                                                                                                                    │
           │         else:                                                                                                                                                                                      │
           │             # If ignition is off                                                                                                                                                                   │
           │             self.warning_light = False                                                                                                                                                             │
           │             self.beeper_active = False                                                                                                                                                             │
           │             self.beeper_timer = 0                                                                                                                                                                  │
           │                                                                                                                                                                                                    │
           │         # Set outputs based on current state                                                                                                                                                       │
           │         self.red_warning_light = self.warning_light                                                                                                                                                │
           │         self.beeper = self.beeper_active and self.beeper_timer > 0                                                                                                                                 │
           │                                                                                                                                                                                                    │
           │     def specification(self):                                                                                                                                                                       │
           │         # Define the specifications in terms of invariant properties                                                                                                                               │
           │         # Warning light should be on if and only if there is a warning condition                                                                                                                   │
           │         spec1 = self.warning_light == self.warn                                                                                                                                                    │
           │         # Beeper should only sound for 30 seconds or until resolved                                                                                                                                │
           │         spec2 = not self.beeper or (self.beeper_timer > 0 and self.beeper_timer <= 30)                                                                                                             │
           │         return spec1 and spec2                                                                                                                                                                     │
           │                                                                                                                                                                                                    │
           │ # Example initialization and transitions to see how it would be used                                                                                                                               │
           │ if __name__ == "__main__":                                                                                                                                                                         │
           │     module = SeatbeltMonitorModule()                                                                                                                                                               │
           │     module.init()                                                                                                                                                                                  │
           │     module.ignition = True                                                                                                                                                                         │
           │     module.warn = True                                                                                                                                                                             │
           │     module.no_warn = False                                                                                                                                                                         │
           │     module.next()  # Process transition                                                                                                                                                            │
           │     print(f"Warning Light: {module.red_warning_light}, Beeper: {module.beeper}")                                                                                                                   │
           │     for _ in range(35):  # Simulate passage of time                                                                                                                                                │
           │         module.next()                                                                                                                                                                              │
           │         print(f"Timer: {module.beeper_timer}, Beeper: {module.beeper}")                                                                                                                            │
           │     module.warn = False                                                                                                                                                                            │
           │     module.no_warn = True                                                                                                                                                                          │
           │     module.next()                                                                                                                                                                                  │
           │     print(f"Warning Light: {module.red_warning_light}, Beeper: {module.beeper}")                                                                                                                   │
           │ ```                                                                                                                                                                                                │
           │ This Python implementation provides a real-world analogy of a Module class that handles the Seatbelt monitoring system, which is activated by the ignition, and the warning mechanisms respond to  │
           │ seatbelt status changes while adhering to constraints such as the maximum beeper duration.                                                                                                         │
           ╰────────────────────────────────────────────────────────────────────────────────────────────────────────────────────────────────────────────────────────────────────────────────────────────────────╯
           ╭──────────────────────────────────── 🤖 Extracted: ─────────────────────────────────────╮                                                                                                             utils.py:24
           │                                                                                        │
           │ class SeatbeltMonitorModule(Module):                                                   │
           │     def types(self):                                                                   │
           │         # Define types used in this module                                             │
           │         self.Boolean = bool                                                            │
           │                                                                                        │
           │     def locals(self):                                                                  │
           │         # Define local variables                                                       │
           │         self.warning_light = self.Boolean                                              │
           │         self.beeper_timer = int                                                        │
           │         self.beeper_active = self.Boolean                                              │
           │                                                                                        │
           │     def inputs(self):                                                                  │
           │         # Define input variables                                                       │
           │         self.ignition = self.Boolean                                                   │
           │         self.warn = self.Boolean                                                       │
           │         self.no_warn = self.Boolean                                                    │
           │                                                                                        │
           │     def outputs(self):                                                                 │
           │         # Define output variables                                                      │
           │         self.red_warning_light = self.Boolean                                          │
           │         self.beeper = self.Boolean                                                     │
           │                                                                                        │
           │     def init(self):                                                                    │
           │         # Initialize variables                                                         │
           │         self.warning_light = False                                                     │
           │         self.beeper_timer = 0                                                          │
           │         self.beeper_active = False                                                     │
           │                                                                                        │
           │     def next(self):                                                                    │
           │         # Define the transition relation                                               │
           │         if self.ignition:                                                              │
           │             if self.warn:                                                              │
           │                 self.warning_light = True                                              │
           │                 self.beeper_timer = 30                                                 │
           │                 self.beeper_active = True                                              │
           │             if self.no_warn:                                                           │
           │                 self.warning_light = False                                             │
           │                                                                                        │
           │             # Always decrement the beeper timer if it's active                         │
           │             if self.beeper_timer > 0:                                                  │
           │                 self.beeper_timer -= 1                                                 │
           │                 if self.beeper_timer == 0:                                             │
           │                     self.beeper_active = False                                         │
           │                                                                                        │
           │         else:                                                                          │
           │             # If ignition is off                                                       │
           │             self.warning_light = False                                                 │
           │             self.beeper_active = False                                                 │
           │             self.beeper_timer = 0                                                      │
           │                                                                                        │
           │         # Set outputs based on current state                                           │
           │         self.red_warning_light = self.warning_light                                    │
           │         self.beeper = self.beeper_active and self.beeper_timer > 0                     │
           │                                                                                        │
           │     def specification(self):                                                           │
           │         # Define the specifications in terms of invariant properties                   │
           │         # Warning light should be on if and only if there is a warning condition       │
           │         spec1 = self.warning_light == self.warn                                        │
           │         # Beeper should only sound for 30 seconds or until resolved                    │
           │         spec2 = not self.beeper or (self.beeper_timer > 0 and self.beeper_timer <= 30) │
           │         return spec1 and spec2                                                         │
           │                                                                                        │
           │ # Example initialization and transitions to see how it would be used                   │
           │ if __name__ == "__main__":                                                             │
           │     module = SeatbeltMonitorModule()                                                   │
           │     module.init()                                                                      │
           │     module.ignition = True                                                             │
           │     module.warn = True                                                                 │
           │     module.no_warn = False                                                             │
           │     module.next()  # Process transition                                                │
           │     print(f"Warning Light: {module.red_warning_light}, Beeper: {module.beeper}")       │
           │     for _ in range(35):  # Simulate passage of time                                    │
           │         module.next()                                                                  │
           │         print(f"Timer: {module.beeper_timer}, Beeper: {module.beeper}")                │
           │     module.warn = False                                                                │
           │     module.no_warn = True                                                              │
           │     module.next()                                                                      │
           │     print(f"Warning Light: {module.red_warning_light}, Beeper: {module.beeper}")       │
           ╰────────────────────────────────────────────────────────────────────────────────────────╯
           ╭─────────────────────────── 🤖 Repaired: ───────────────────────────╮                                                                                                                                 utils.py:24
           │ class SeatbeltMonitorModule(Module):                               │
           │   def locals(self):                                                │
           │     self.warning_light = bool                                      │
           │     self.beeper_timer = int                                        │
           │     self.beeper_active = bool                                      │
           │                                                                    │
           │   def inputs(self):                                                │
           │     self.ignition = bool                                           │
           │     self.warn = bool                                               │
           │     self.no_warn = bool                                            │
           │                                                                    │
           │   def outputs(self):                                               │
           │     self.red_warning_light = bool                                  │
           │     self.beeper = bool                                             │
           │                                                                    │
           │   def init(self):                                                  │
           │     self.warning_light = False                                     │
           │     self.beeper_timer = 0                                          │
           │     self.beeper_active = False                                     │
           │                                                                    │
           │   def next(self):                                                  │
           │     if self.ignition:                                              │
           │       if self.warn:                                                │
           │         self.warning_light = True                                  │
           │         self.beeper_timer = 30                                     │
           │         self.beeper_active = True                                  │
           │       if self.no_warn:                                             │
           │         self.warning_light = False                                 │
           │       if (self.beeper_timer > 0):                                  │
           │         self.beeper_timer = (self.beeper_timer - 1)                │
           │         if (self.beeper_timer == 0):                               │
           │           self.beeper_active = False                               │
           │     else:                                                          │
           │       self.warning_light = False                                   │
           │       self.beeper_active = False                                   │
           │       self.beeper_timer = 0                                        │
           │     self.red_warning_light = self.warning_light                    │
           │     self.beeper = (self.beeper_active and (self.beeper_timer > 0)) │
           │                                                                    │
           │                                                                    │
           ╰────────────────────────────────────────────────────────────────────╯
           ╭────── 🤖 Stats: ───────╮                                                                                                                                                                             utils.py:24
           │ Original Lines: 79     │
           │ Final Lines:    39     │
           │ LLM Calls:      1      │
           │ LLM Time:       17.64s │
           │ Repair Time:    0.58s  │
           ╰────────────────────────╯
