[20:52:13] ╭──────────────────────────────────────────────────────────────────────────────────────────── 🤖 Prompt: ────────────────────────────────────────────────────────────────────────────────────────────╮ utils.py:24
           │ Write Python code that extends the `Module` class below to complete the following task.                                                                                                            │
           │                                                                                                                                                                                                    │
           │ > Let C1 be a circuit without input variables and with output variable y1 and register r1. The control function for the output variable transition is y1'=r1, i.e., on the next step y1 is equal   │
           │ to the value of r1 from the previous step. The control function for the register variable transition is r1' = !r1. Circuit C2 has input variable x2, output variable y2, and register variable r2  │
           │ with the control functions: y2'= x2' OR r2 r2'=x2' OR r2 Model the synchronous composition of these two circuits. Use the variable names y1, r1, x2, y2, and r2.                                   │
           │                                                                                                                                                                                                    │
           │ 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                                                                                                                                                                                          │
           │                                                                                                                                                                                                    │
           ╰────────────────────────────────────────────────────────────────────────────────────────────────────────────────────────────────────────────────────────────────────────────────────────────────────╯
[20:52:15] ╭────────────────────── 🧠 Response: ───────────────────────╮                                                                                                                                          utils.py:42
           │ class Circuit(Module):                                    │
           │     def types(self):                                      │
           │         self.Bit = Boolean()                              │
           │                                                           │
           │     def locals(self):                                     │
           │         self.r1 = self.Bit                                │
           │         self.r2 = self.Bit                                │
           │                                                           │
           │     def outputs(self):                                    │
           │         self.y1 = self.Bit                                │
           │         self.y2 = self.Bit                                │
           │                                                           │
           │     def instances(self):                                  │
           │         c1 = Circuit1(y1=self.y1, r1=self.r1)             │
           │         c2 = Circuit2(x2=self.x2, y2=self.y2, r2=self.r2) │
           │                                                           │
           │     def next(self):                                       │
           │         self.y1 = c1.r1                                   │
           │         self.r1 = Not(c1.r1)                              │
           │         self.y2 = Or(self.x2, c2.r2)                      │
           │         self.r2 = Or(self.x2, c2.r2)                      │
           │ ```                                                       │
           ╰───────────────────────────────────────────────────────────╯
           ╭────────────────────── 🤖 Extracted: ──────────────────────╮                                                                                                                                          utils.py:24
           │                                                           │
           │ class Circuit(Module):                                    │
           │     def types(self):                                      │
           │         self.Bit = Boolean()                              │
           │                                                           │
           │     def locals(self):                                     │
           │         self.r1 = self.Bit                                │
           │         self.r2 = self.Bit                                │
           │                                                           │
           │     def outputs(self):                                    │
           │         self.y1 = self.Bit                                │
           │         self.y2 = self.Bit                                │
           │                                                           │
           │     def instances(self):                                  │
           │         c1 = Circuit1(y1=self.y1, r1=self.r1)             │
           │         c2 = Circuit2(x2=self.x2, y2=self.y2, r2=self.r2) │
           │                                                           │
           │     def next(self):                                       │
           │         self.y1 = c1.r1                                   │
           │         self.r1 = Not(c1.r1)                              │
           │         self.y2 = Or(self.x2, c2.r2)                      │
           │         self.r2 = Or(self.x2, c2.r2)                      │
           ╰───────────────────────────────────────────────────────────╯
[20:52:16] ╭─────────────────────── 🤖 Repaired: ───────────────────────╮                                                                                                                                         utils.py:24
           │ class Circuit2(Module):                                    │
           │   ??                                                       │
           │ class Circuit1(Module):                                    │
           │   ??                                                       │
           │ class Circuit(Module):                                     │
           │   def types(self):                                         │
           │     self.Bit = bool                                        │
           │                                                            │
           │   def locals(self):                                        │
           │     self.x2 = bool                                         │
           │     self.r1 = self.Bit                                     │
           │     self.r2 = self.Bit                                     │
           │                                                            │
           │   def outputs(self):                                       │
           │     self.y1 = self.Bit                                     │
           │     self.y2 = self.Bit                                     │
           │                                                            │
           │   def instances(self):                                     │
           │     self.c1 = Circuit1(y1=self.y1, r1=self.r1)             │
           │     self.c2 = Circuit2(x2=self.x2, y2=self.y2, r2=self.r2) │
           │                                                            │
           │   def next(self):                                          │
           │     self.y1 = self.c1.r1                                   │
           │     self.r1 = not self.c1.r1                               │
           │     self.y2 = (self.x2 or self.c2.r2)                      │
           │     self.r2 = (self.x2 or self.c2.r2)                      │
           │                                                            │
           │                                                            │
           ╰────────────────────────────────────────────────────────────╯
           ╭──────────────────────────────────────────────────────────────────────────────────────────── 🤖 Prompt: ────────────────────────────────────────────────────────────────────────────────────────────╮ utils.py:24
           │                                                                                                                                                                                                    │
           │ Fix the following Python code by replacing every occurrence of `??` with the correct code.                                                                                                         │
           │ ```python                                                                                                                                                                                          │
           │ class Circuit2(Module):                                                                                                                                                                            │
           │   ??                                                                                                                                                                                               │
           │ class Circuit1(Module):                                                                                                                                                                            │
           │   ??                                                                                                                                                                                               │
           │ class Circuit(Module):                                                                                                                                                                             │
           │   def types(self):                                                                                                                                                                                 │
           │     self.Bit = bool                                                                                                                                                                                │
           │                                                                                                                                                                                                    │
           │   def locals(self):                                                                                                                                                                                │
           │     self.x2 = bool                                                                                                                                                                                 │
           │     self.r1 = self.Bit                                                                                                                                                                             │
           │     self.r2 = self.Bit                                                                                                                                                                             │
           │                                                                                                                                                                                                    │
           │   def outputs(self):                                                                                                                                                                               │
           │     self.y1 = self.Bit                                                                                                                                                                             │
           │     self.y2 = self.Bit                                                                                                                                                                             │
           │                                                                                                                                                                                                    │
           │   def instances(self):                                                                                                                                                                             │
           │     self.c1 = Circuit1(y1=self.y1, r1=self.r1)                                                                                                                                                     │
           │     self.c2 = Circuit2(x2=self.x2, y2=self.y2, r2=self.r2)                                                                                                                                         │
           │                                                                                                                                                                                                    │
           │   def next(self):                                                                                                                                                                                  │
           │     self.y1 = self.c1.r1                                                                                                                                                                           │
           │     self.r1 = not self.c1.r1                                                                                                                                                                       │
           │     self.y2 = (self.x2 or self.c2.r2)                                                                                                                                                              │
           │     self.r2 = (self.x2 or self.c2.r2)                                                                                                                                                              │
           │                                                                                                                                                                                                    │
           │                                                                                                                                                                                                    │
           │ ```                                                                                                                                                                                                │
           │ Make sure that your code extends the `Module` class below and that it completes the following task.                                                                                                │
           │                                                                                                                                                                                                    │
           │ > Let C1 be a circuit without input variables and with output variable y1 and register r1. The control function for the output variable transition is y1'=r1, i.e., on the next step y1 is equal   │
           │ to the value of r1 from the previous step. The control function for the register variable transition is r1' = !r1. Circuit C2 has input variable x2, output variable y2, and register variable r2  │
           │ with the control functions: y2'= x2' OR r2 r2'=x2' OR r2 Model the synchronous composition of these two circuits. Use the variable names y1, r1, x2, y2, and r2.                                   │
           │                                                                                                                                                                                                    │
           │ 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                                                                                                                                                                                          │
           │                                                                                                                                                                                                    │
           ╰────────────────────────────────────────────────────────────────────────────────────────────────────────────────────────────────────────────────────────────────────────────────────────────────────╯
[20:52:19] ╭───────────────────────── 🧠 Response: ─────────────────────────╮                                                                                                                                     utils.py:42
           │ ```python                                                      │
           │ class Circuit2(Module):                                        │
           │     def types(self):                                           │
           │         self.x2 = bool                                         │
           │         self.y2 = bool                                         │
           │         self.r2 = bool                                         │
           │                                                                │
           │ class Circuit1(Module):                                        │
           │     def types(self):                                           │
           │         self.y1 = bool                                         │
           │         self.r1 = bool                                         │
           │                                                                │
           │ class Circuit(Module):                                         │
           │     def types(self):                                           │
           │         self.Bit = bool                                        │
           │                                                                │
           │     def locals(self):                                          │
           │         self.x2 = self.Bit                                     │
           │         self.r1 = self.Bit                                     │
           │         self.r2 = self.Bit                                     │
           │                                                                │
           │     def outputs(self):                                         │
           │         self.y1 = self.Bit                                     │
           │         self.y2 = self.Bit                                     │
           │                                                                │
           │     def instances(self):                                       │
           │         self.c1 = Circuit1(y1=self.y1, r1=self.r1)             │
           │         self.c2 = Circuit2(x2=self.x2, y2=self.y2, r2=self.r2) │
           │                                                                │
           │     def next(self):                                            │
           │         self.y1 = self.c1.r1                                   │
           │         self.r1 = not self.c1.r1                               │
           │         self.y2 = (self.x2 or self.c2.r2)                      │
           │         self.r2 = (self.x2 or self.c2.r2)                      │
           │ ```                                                            │
           ╰────────────────────────────────────────────────────────────────╯
           ╭──────────────────────── 🤖 Extracted: ─────────────────────────╮                                                                                                                                     utils.py:24
           │                                                                │
           │ class Circuit2(Module):                                        │
           │     def types(self):                                           │
           │         self.x2 = bool                                         │
           │         self.y2 = bool                                         │
           │         self.r2 = bool                                         │
           │                                                                │
           │ class Circuit1(Module):                                        │
           │     def types(self):                                           │
           │         self.y1 = bool                                         │
           │         self.r1 = bool                                         │
           │                                                                │
           │ class Circuit(Module):                                         │
           │     def types(self):                                           │
           │         self.Bit = bool                                        │
           │                                                                │
           │     def locals(self):                                          │
           │         self.x2 = self.Bit                                     │
           │         self.r1 = self.Bit                                     │
           │         self.r2 = self.Bit                                     │
           │                                                                │
           │     def outputs(self):                                         │
           │         self.y1 = self.Bit                                     │
           │         self.y2 = self.Bit                                     │
           │                                                                │
           │     def instances(self):                                       │
           │         self.c1 = Circuit1(y1=self.y1, r1=self.r1)             │
           │         self.c2 = Circuit2(x2=self.x2, y2=self.y2, r2=self.r2) │
           │                                                                │
           │     def next(self):                                            │
           │         self.y1 = self.c1.r1                                   │
           │         self.r1 = not self.c1.r1                               │
           │         self.y2 = (self.x2 or self.c2.r2)                      │
           │         self.r2 = (self.x2 or self.c2.r2)                      │
           ╰────────────────────────────────────────────────────────────────╯
[20:52:20] ╭──────────── 🤖 Repaired: ─────────────╮                                                                                                                                                              utils.py:24
           │ class Circuit2(Module):               │
           │   ??                                  │
           │ class Circuit1(Module):               │
           │   ??                                  │
           │ class Circuit(Module):                │
           │   def types(self):                    │
           │     self.Bit = bool                   │
           │                                       │
           │   def locals(self):                   │
           │     self.x2 = self.Bit                │
           │     self.r1 = self.Bit                │
           │     self.r2 = self.Bit                │
           │                                       │
           │   def outputs(self):                  │
           │     self.y1 = self.Bit                │
           │     self.y2 = self.Bit                │
           │                                       │
           │   def instances(self):                │
           │     self.c1 = Circuit1()              │
           │     self.c2 = Circuit2()              │
           │                                       │
           │   def next(self):                     │
           │     self.y1 = self.c1.r1              │
           │     self.r1 = not self.c1.r1          │
           │     self.y2 = (self.x2 or self.c2.r2) │
           │     self.r2 = (self.x2 or self.c2.r2) │
           │                                       │
           │                                       │
           ╰───────────────────────────────────────╯
           ╭──────────────────────────────────────────────────────────────────────────────────────────── 🤖 Prompt: ────────────────────────────────────────────────────────────────────────────────────────────╮ utils.py:24
           │                                                                                                                                                                                                    │
           │ Fix the following Python code by replacing every occurrence of `??` with the correct code.                                                                                                         │
           │ ```python                                                                                                                                                                                          │
           │ class Circuit2(Module):                                                                                                                                                                            │
           │   ??                                                                                                                                                                                               │
           │ class Circuit1(Module):                                                                                                                                                                            │
           │   ??                                                                                                                                                                                               │
           │ class Circuit(Module):                                                                                                                                                                             │
           │   def types(self):                                                                                                                                                                                 │
           │     self.Bit = bool                                                                                                                                                                                │
           │                                                                                                                                                                                                    │
           │   def locals(self):                                                                                                                                                                                │
           │     self.x2 = self.Bit                                                                                                                                                                             │
           │     self.r1 = self.Bit                                                                                                                                                                             │
           │     self.r2 = self.Bit                                                                                                                                                                             │
           │                                                                                                                                                                                                    │
           │   def outputs(self):                                                                                                                                                                               │
           │     self.y1 = self.Bit                                                                                                                                                                             │
           │     self.y2 = self.Bit                                                                                                                                                                             │
           │                                                                                                                                                                                                    │
           │   def instances(self):                                                                                                                                                                             │
           │     self.c1 = Circuit1()                                                                                                                                                                           │
           │     self.c2 = Circuit2()                                                                                                                                                                           │
           │                                                                                                                                                                                                    │
           │   def next(self):                                                                                                                                                                                  │
           │     self.y1 = self.c1.r1                                                                                                                                                                           │
           │     self.r1 = not self.c1.r1                                                                                                                                                                       │
           │     self.y2 = (self.x2 or self.c2.r2)                                                                                                                                                              │
           │     self.r2 = (self.x2 or self.c2.r2)                                                                                                                                                              │
           │                                                                                                                                                                                                    │
           │                                                                                                                                                                                                    │
           │ ```                                                                                                                                                                                                │
           │ Make sure that your code extends the `Module` class below and that it completes the following task.                                                                                                │
           │                                                                                                                                                                                                    │
           │ > Let C1 be a circuit without input variables and with output variable y1 and register r1. The control function for the output variable transition is y1'=r1, i.e., on the next step y1 is equal   │
           │ to the value of r1 from the previous step. The control function for the register variable transition is r1' = !r1. Circuit C2 has input variable x2, output variable y2, and register variable r2  │
           │ with the control functions: y2'= x2' OR r2 r2'=x2' OR r2 Model the synchronous composition of these two circuits. Use the variable names y1, r1, x2, y2, and r2.                                   │
           │                                                                                                                                                                                                    │
           │ 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                                                                                                                                                                                          │
           │                                                                                                                                                                                                    │
           ╰────────────────────────────────────────────────────────────────────────────────────────────────────────────────────────────────────────────────────────────────────────────────────────────────────╯
[20:52:24] ╭────────────── 🧠 Response: ───────────────╮                                                                                                                                                          utils.py:42
           │ class Circuit2(Module):                   │
           │     def types(self):                      │
           │         self.Bit = bool                   │
           │                                           │
           │     def locals(self):                     │
           │         self.y2 = self.Bit                │
           │         self.r2 = self.Bit                │
           │                                           │
           │     def instances(self):                  │
           │         self.c2 = Circuit()               │
           │                                           │
           │     def next(self):                       │
           │         self.y2 = (self.x2 or self.c2.r2) │
           │         self.r2 = (self.x2 or self.c2.r2) │
           │                                           │
           │                                           │
           │ class Circuit1(Module):                   │
           │     def types(self):                      │
           │         self.Bit = bool                   │
           │                                           │
           │     def locals(self):                     │
           │         self.y1 = self.Bit                │
           │         self.r1 = self.Bit                │
           │                                           │
           │     def instances(self):                  │
           │         self.c1 = Circuit2()              │
           │                                           │
           │     def next(self):                       │
           │         self.y1 = self.c1.r1              │
           │         self.r1 = not self.c1.r1          │
           │                                           │
           │                                           │
           │ class Circuit(Module):                    │
           │     def types(self):                      │
           │         self.Bit = bool                   │
           │                                           │
           │     def locals(self):                     │
           │         self.x2 = self.Bit                │
           │         self.r1 = self.Bit                │
           │         self.r2 = self.Bit                │
           │                                           │
           │     def outputs(self):                    │
           │         self.y1 = self.Bit                │
           │         self.y2 = self.Bit                │
           │                                           │
           │     def instances(self):                  │
           │         self.c1 = Circuit1()              │
           │         self.c2 = Circuit2()              │
           │                                           │
           │     def next(self):                       │
           │         self.y1 = self.c1.r1              │
           │         self.r1 = not self.c1.r1          │
           │         self.y2 = (self.x2 or self.c2.r2) │
           │         self.r2 = (self.x2 or self.c2.r2) │
           │ ```                                       │
           ╰───────────────────────────────────────────╯
           ╭────────────── 🤖 Extracted: ──────────────╮                                                                                                                                                          utils.py:24
           │                                           │
           │ class Circuit2(Module):                   │
           │     def types(self):                      │
           │         self.Bit = bool                   │
           │                                           │
           │     def locals(self):                     │
           │         self.y2 = self.Bit                │
           │         self.r2 = self.Bit                │
           │                                           │
           │     def instances(self):                  │
           │         self.c2 = Circuit()               │
           │                                           │
           │     def next(self):                       │
           │         self.y2 = (self.x2 or self.c2.r2) │
           │         self.r2 = (self.x2 or self.c2.r2) │
           │                                           │
           │                                           │
           │ class Circuit1(Module):                   │
           │     def types(self):                      │
           │         self.Bit = bool                   │
           │                                           │
           │     def locals(self):                     │
           │         self.y1 = self.Bit                │
           │         self.r1 = self.Bit                │
           │                                           │
           │     def instances(self):                  │
           │         self.c1 = Circuit2()              │
           │                                           │
           │     def next(self):                       │
           │         self.y1 = self.c1.r1              │
           │         self.r1 = not self.c1.r1          │
           │                                           │
           │                                           │
           │ class Circuit(Module):                    │
           │     def types(self):                      │
           │         self.Bit = bool                   │
           │                                           │
           │     def locals(self):                     │
           │         self.x2 = self.Bit                │
           │         self.r1 = self.Bit                │
           │         self.r2 = self.Bit                │
           │                                           │
           │     def outputs(self):                    │
           │         self.y1 = self.Bit                │
           │         self.y2 = self.Bit                │
           │                                           │
           │     def instances(self):                  │
           │         self.c1 = Circuit1()              │
           │         self.c2 = Circuit2()              │
           │                                           │
           │     def next(self):                       │
           │         self.y1 = self.c1.r1              │
           │         self.r1 = not self.c1.r1          │
           │         self.y2 = (self.x2 or self.c2.r2) │
           │         self.r2 = (self.x2 or self.c2.r2) │
           ╰───────────────────────────────────────────╯
[20:52:25] ╭──────────── 🤖 Repaired: ─────────────╮                                                                                                                                                              utils.py:24
           │ class Circuit2(Module):               │
           │   def types(self):                    │
           │     self.Bit = bool                   │
           │                                       │
           │   def locals(self):                   │
           │     self.x2 = bool                    │
           │     self.y2 = self.Bit                │
           │     self.r2 = self.Bit                │
           │                                       │
           │   def instances(self):                │
           │     self.c2 = Circuit(y1=??, y2=??)   │
           │                                       │
           │   def next(self):                     │
           │     self.y2 = (self.x2 or self.c2.r2) │
           │     self.r2 = (self.x2 or self.c2.r2) │
           │                                       │
           │ class Circuit1(Module):               │
           │   def types(self):                    │
           │     self.Bit = bool                   │
           │                                       │
           │   def locals(self):                   │
           │     self.y1 = self.Bit                │
           │     self.r1 = self.Bit                │
           │                                       │
           │   def instances(self):                │
           │     self.c1 = Circuit2()              │
           │                                       │
           │   def next(self):                     │
           │     self.y1 = self.c1.r1              │
           │     self.r1 = not self.c1.r1          │
           │                                       │
           │ class Circuit(Module):                │
           │   def types(self):                    │
           │     self.Bit = bool                   │
           │                                       │
           │   def locals(self):                   │
           │     self.x2 = self.Bit                │
           │     self.r1 = self.Bit                │
           │     self.r2 = self.Bit                │
           │                                       │
           │   def outputs(self):                  │
           │     self.y1 = self.Bit                │
           │     self.y2 = self.Bit                │
           │                                       │
           │   def instances(self):                │
           │     self.c1 = Circuit1()              │
           │     self.c2 = Circuit2()              │
           │                                       │
           │   def next(self):                     │
           │     self.y1 = self.c1.r1              │
           │     self.r1 = not self.c1.r1          │
           │     self.y2 = (self.x2 or self.c2.r2) │
           │     self.r2 = (self.x2 or self.c2.r2) │
           │                                       │
           │                                       │
           ╰───────────────────────────────────────╯
           ╭──────────────────────────────────────────────────────────────────────────────────────────── 🤖 Prompt: ────────────────────────────────────────────────────────────────────────────────────────────╮ utils.py:24
           │                                                                                                                                                                                                    │
           │ Fix the following Python code by replacing every occurrence of `??` with the correct code.                                                                                                         │
           │ ```python                                                                                                                                                                                          │
           │ class Circuit2(Module):                                                                                                                                                                            │
           │   def types(self):                                                                                                                                                                                 │
           │     self.Bit = bool                                                                                                                                                                                │
           │                                                                                                                                                                                                    │
           │   def locals(self):                                                                                                                                                                                │
           │     self.x2 = bool                                                                                                                                                                                 │
           │     self.y2 = self.Bit                                                                                                                                                                             │
           │     self.r2 = self.Bit                                                                                                                                                                             │
           │                                                                                                                                                                                                    │
           │   def instances(self):                                                                                                                                                                             │
           │     self.c2 = Circuit(y1=??, y2=??)                                                                                                                                                                │
           │                                                                                                                                                                                                    │
           │   def next(self):                                                                                                                                                                                  │
           │     self.y2 = (self.x2 or self.c2.r2)                                                                                                                                                              │
           │     self.r2 = (self.x2 or self.c2.r2)                                                                                                                                                              │
           │                                                                                                                                                                                                    │
           │ class Circuit1(Module):                                                                                                                                                                            │
           │   def types(self):                                                                                                                                                                                 │
           │     self.Bit = bool                                                                                                                                                                                │
           │                                                                                                                                                                                                    │
           │   def locals(self):                                                                                                                                                                                │
           │     self.y1 = self.Bit                                                                                                                                                                             │
           │     self.r1 = self.Bit                                                                                                                                                                             │
           │                                                                                                                                                                                                    │
           │   def instances(self):                                                                                                                                                                             │
           │     self.c1 = Circuit2()                                                                                                                                                                           │
           │                                                                                                                                                                                                    │
           │   def next(self):                                                                                                                                                                                  │
           │     self.y1 = self.c1.r1                                                                                                                                                                           │
           │     self.r1 = not self.c1.r1                                                                                                                                                                       │
           │                                                                                                                                                                                                    │
           │ class Circuit(Module):                                                                                                                                                                             │
           │   def types(self):                                                                                                                                                                                 │
           │     self.Bit = bool                                                                                                                                                                                │
           │                                                                                                                                                                                                    │
           │   def locals(self):                                                                                                                                                                                │
           │     self.x2 = self.Bit                                                                                                                                                                             │
           │     self.r1 = self.Bit                                                                                                                                                                             │
           │     self.r2 = self.Bit                                                                                                                                                                             │
           │                                                                                                                                                                                                    │
           │   def outputs(self):                                                                                                                                                                               │
           │     self.y1 = self.Bit                                                                                                                                                                             │
           │     self.y2 = self.Bit                                                                                                                                                                             │
           │                                                                                                                                                                                                    │
           │   def instances(self):                                                                                                                                                                             │
           │     self.c1 = Circuit1()                                                                                                                                                                           │
           │     self.c2 = Circuit2()                                                                                                                                                                           │
           │                                                                                                                                                                                                    │
           │   def next(self):                                                                                                                                                                                  │
           │     self.y1 = self.c1.r1                                                                                                                                                                           │
           │     self.r1 = not self.c1.r1                                                                                                                                                                       │
           │     self.y2 = (self.x2 or self.c2.r2)                                                                                                                                                              │
           │     self.r2 = (self.x2 or self.c2.r2)                                                                                                                                                              │
           │                                                                                                                                                                                                    │
           │                                                                                                                                                                                                    │
           │ ```                                                                                                                                                                                                │
           │ Make sure that your code extends the `Module` class below and that it completes the following task.                                                                                                │
           │                                                                                                                                                                                                    │
           │ > Let C1 be a circuit without input variables and with output variable y1 and register r1. The control function for the output variable transition is y1'=r1, i.e., on the next step y1 is equal   │
           │ to the value of r1 from the previous step. The control function for the register variable transition is r1' = !r1. Circuit C2 has input variable x2, output variable y2, and register variable r2  │
           │ with the control functions: y2'= x2' OR r2 r2'=x2' OR r2 Model the synchronous composition of these two circuits. Use the variable names y1, r1, x2, y2, and r2.                                   │
           │                                                                                                                                                                                                    │
           │ 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                                                                                                                                                                                          │
           │                                                                                                                                                                                                    │
           ╰────────────────────────────────────────────────────────────────────────────────────────────────────────────────────────────────────────────────────────────────────────────────────────────────────╯
[20:52:29] ╭────────────────── 🧠 Response: ──────────────────╮                                                                                                                                                   utils.py:42
           │ class Circuit2(Module):                          │
           │   def types(self):                               │
           │     self.Bit = bool                              │
           │                                                  │
           │   def locals(self):                              │
           │     self.x2 = self.Bit                           │
           │     self.y2 = self.Bit                           │
           │     self.r2 = self.Bit                           │
           │                                                  │
           │   def instances(self):                           │
           │     self.c2 = Circuit(y1=self.c1.r1, y2=self.y2) │
           │                                                  │
           │   def next(self):                                │
           │     self.y2 = (self.x2 or self.c2.r2)            │
           │     self.r2 = (self.x2 or self.c2.r2)            │
           │                                                  │
           │ class Circuit1(Module):                          │
           │   def types(self):                               │
           │     self.Bit = bool                              │
           │                                                  │
           │   def locals(self):                              │
           │     self.y1 = self.Bit                           │
           │     self.r1 = self.Bit                           │
           │                                                  │
           │   def instances(self):                           │
           │     self.c1 = Circuit2()                         │
           │                                                  │
           │   def next(self):                                │
           │     self.y1 = self.c1.r1                         │
           │     self.r1 = not self.c1.r1                     │
           │                                                  │
           │ class Circuit(Module):                           │
           │   def types(self):                               │
           │     self.Bit = bool                              │
           │                                                  │
           │   def locals(self):                              │
           │     self.x2 = self.Bit                           │
           │     self.r1 = self.Bit                           │
           │     self.r2 = self.Bit                           │
           │                                                  │
           │   def outputs(self):                             │
           │     self.y1 = self.Bit                           │
           │     self.y2 = self.Bit                           │
           │                                                  │
           │   def instances(self):                           │
           │     self.c1 = Circuit1()                         │
           │     self.c2 = Circuit2()                         │
           │                                                  │
           │   def next(self):                                │
           │     self.y1 = self.c1.r1                         │
           │     self.r1 = not self.c1.r1                     │
           │     self.y2 = (self.x2 or self.c2.r2)            │
           │     self.r2 = (self.x2 or self.c2.r2)            │
           │ ```                                              │
           ╰──────────────────────────────────────────────────╯
           ╭───────────────── 🤖 Extracted: ──────────────────╮                                                                                                                                                   utils.py:24
           │                                                  │
           │ class Circuit2(Module):                          │
           │   def types(self):                               │
           │     self.Bit = bool                              │
           │                                                  │
           │   def locals(self):                              │
           │     self.x2 = self.Bit                           │
           │     self.y2 = self.Bit                           │
           │     self.r2 = self.Bit                           │
           │                                                  │
           │   def instances(self):                           │
           │     self.c2 = Circuit(y1=self.c1.r1, y2=self.y2) │
           │                                                  │
           │   def next(self):                                │
           │     self.y2 = (self.x2 or self.c2.r2)            │
           │     self.r2 = (self.x2 or self.c2.r2)            │
           │                                                  │
           │ class Circuit1(Module):                          │
           │   def types(self):                               │
           │     self.Bit = bool                              │
           │                                                  │
           │   def locals(self):                              │
           │     self.y1 = self.Bit                           │
           │     self.r1 = self.Bit                           │
           │                                                  │
           │   def instances(self):                           │
           │     self.c1 = Circuit2()                         │
           │                                                  │
           │   def next(self):                                │
           │     self.y1 = self.c1.r1                         │
           │     self.r1 = not self.c1.r1                     │
           │                                                  │
           │ class Circuit(Module):                           │
           │   def types(self):                               │
           │     self.Bit = bool                              │
           │                                                  │
           │   def locals(self):                              │
           │     self.x2 = self.Bit                           │
           │     self.r1 = self.Bit                           │
           │     self.r2 = self.Bit                           │
           │                                                  │
           │   def outputs(self):                             │
           │     self.y1 = self.Bit                           │
           │     self.y2 = self.Bit                           │
           │                                                  │
           │   def instances(self):                           │
           │     self.c1 = Circuit1()                         │
           │     self.c2 = Circuit2()                         │
           │                                                  │
           │   def next(self):                                │
           │     self.y1 = self.c1.r1                         │
           │     self.r1 = not self.c1.r1                     │
           │     self.y2 = (self.x2 or self.c2.r2)            │
           │     self.r2 = (self.x2 or self.c2.r2)            │
           ╰──────────────────────────────────────────────────╯
[20:52:30] ╭────────────────── 🤖 Repaired: ──────────────────╮                                                                                                                                                   utils.py:24
           │ class Circuit2(Module):                          │
           │   def types(self):                               │
           │     self.Bit = bool                              │
           │                                                  │
           │   def locals(self):                              │
           │     self.c1 = Record(('r1', ??))                 │
           │     self.x2 = self.Bit                           │
           │     self.y2 = self.Bit                           │
           │     self.r2 = self.Bit                           │
           │                                                  │
           │   def instances(self):                           │
           │     self.c2 = Circuit(y1=self.c1.r1, y2=self.y2) │
           │                                                  │
           │   def next(self):                                │
           │     self.y2 = (self.x2 or self.c2.r2)            │
           │     self.r2 = (self.x2 or self.c2.r2)            │
           │                                                  │
           │ class Circuit1(Module):                          │
           │   def types(self):                               │
           │     self.Bit = bool                              │
           │                                                  │
           │   def locals(self):                              │
           │     self.y1 = self.Bit                           │
           │     self.r1 = self.Bit                           │
           │                                                  │
           │   def instances(self):                           │
           │     self.c1 = Circuit2()                         │
           │                                                  │
           │   def next(self):                                │
           │     self.y1 = self.c1.r1                         │
           │     self.r1 = not self.c1.r1                     │
           │                                                  │
           │ class Circuit(Module):                           │
           │   def types(self):                               │
           │     self.Bit = bool                              │
           │                                                  │
           │   def locals(self):                              │
           │     self.x2 = self.Bit                           │
           │     self.r1 = self.Bit                           │
           │     self.r2 = self.Bit                           │
           │                                                  │
           │   def outputs(self):                             │
           │     self.y1 = self.Bit                           │
           │     self.y2 = self.Bit                           │
           │                                                  │
           │   def instances(self):                           │
           │     self.c1 = Circuit1()                         │
           │     self.c2 = Circuit2()                         │
           │                                                  │
           │   def next(self):                                │
           │     self.y1 = self.c1.r1                         │
           │     self.r1 = not self.c1.r1                     │
           │     self.y2 = (self.x2 or self.c2.r2)            │
           │     self.r2 = (self.x2 or self.c2.r2)            │
           │                                                  │
           │                                                  │
           ╰──────────────────────────────────────────────────╯
           ╭──────────────────────────────────────────────────────────────────────────────────────────── 🤖 Prompt: ────────────────────────────────────────────────────────────────────────────────────────────╮ utils.py:24
           │                                                                                                                                                                                                    │
           │ Fix the following Python code by replacing every occurrence of `??` with the correct code.                                                                                                         │
           │ ```python                                                                                                                                                                                          │
           │ class Circuit2(Module):                                                                                                                                                                            │
           │   def types(self):                                                                                                                                                                                 │
           │     self.Bit = bool                                                                                                                                                                                │
           │                                                                                                                                                                                                    │
           │   def locals(self):                                                                                                                                                                                │
           │     self.c1 = Record(('r1', ??))                                                                                                                                                                   │
           │     self.x2 = self.Bit                                                                                                                                                                             │
           │     self.y2 = self.Bit                                                                                                                                                                             │
           │     self.r2 = self.Bit                                                                                                                                                                             │
           │                                                                                                                                                                                                    │
           │   def instances(self):                                                                                                                                                                             │
           │     self.c2 = Circuit(y1=self.c1.r1, y2=self.y2)                                                                                                                                                   │
           │                                                                                                                                                                                                    │
           │   def next(self):                                                                                                                                                                                  │
           │     self.y2 = (self.x2 or self.c2.r2)                                                                                                                                                              │
           │     self.r2 = (self.x2 or self.c2.r2)                                                                                                                                                              │
           │                                                                                                                                                                                                    │
           │ class Circuit1(Module):                                                                                                                                                                            │
           │   def types(self):                                                                                                                                                                                 │
           │     self.Bit = bool                                                                                                                                                                                │
           │                                                                                                                                                                                                    │
           │   def locals(self):                                                                                                                                                                                │
           │     self.y1 = self.Bit                                                                                                                                                                             │
           │     self.r1 = self.Bit                                                                                                                                                                             │
           │                                                                                                                                                                                                    │
           │   def instances(self):                                                                                                                                                                             │
           │     self.c1 = Circuit2()                                                                                                                                                                           │
           │                                                                                                                                                                                                    │
           │   def next(self):                                                                                                                                                                                  │
           │     self.y1 = self.c1.r1                                                                                                                                                                           │
           │     self.r1 = not self.c1.r1                                                                                                                                                                       │
           │                                                                                                                                                                                                    │
           │ class Circuit(Module):                                                                                                                                                                             │
           │   def types(self):                                                                                                                                                                                 │
           │     self.Bit = bool                                                                                                                                                                                │
           │                                                                                                                                                                                                    │
           │   def locals(self):                                                                                                                                                                                │
           │     self.x2 = self.Bit                                                                                                                                                                             │
           │     self.r1 = self.Bit                                                                                                                                                                             │
           │     self.r2 = self.Bit                                                                                                                                                                             │
           │                                                                                                                                                                                                    │
           │   def outputs(self):                                                                                                                                                                               │
           │     self.y1 = self.Bit                                                                                                                                                                             │
           │     self.y2 = self.Bit                                                                                                                                                                             │
           │                                                                                                                                                                                                    │
           │   def instances(self):                                                                                                                                                                             │
           │     self.c1 = Circuit1()                                                                                                                                                                           │
           │     self.c2 = Circuit2()                                                                                                                                                                           │
           │                                                                                                                                                                                                    │
           │   def next(self):                                                                                                                                                                                  │
           │     self.y1 = self.c1.r1                                                                                                                                                                           │
           │     self.r1 = not self.c1.r1                                                                                                                                                                       │
           │     self.y2 = (self.x2 or self.c2.r2)                                                                                                                                                              │
           │     self.r2 = (self.x2 or self.c2.r2)                                                                                                                                                              │
           │                                                                                                                                                                                                    │
           │                                                                                                                                                                                                    │
           │ ```                                                                                                                                                                                                │
           │ Make sure that your code extends the `Module` class below and that it completes the following task.                                                                                                │
           │                                                                                                                                                                                                    │
           │ > Let C1 be a circuit without input variables and with output variable y1 and register r1. The control function for the output variable transition is y1'=r1, i.e., on the next step y1 is equal   │
           │ to the value of r1 from the previous step. The control function for the register variable transition is r1' = !r1. Circuit C2 has input variable x2, output variable y2, and register variable r2  │
           │ with the control functions: y2'= x2' OR r2 r2'=x2' OR r2 Model the synchronous composition of these two circuits. Use the variable names y1, r1, x2, y2, and r2.                                   │
           │                                                                                                                                                                                                    │
           │ 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                                                                                                                                                                                          │
           │                                                                                                                                                                                                    │
           ╰────────────────────────────────────────────────────────────────────────────────────────────────────────────────────────────────────────────────────────────────────────────────────────────────────╯
[20:52:35] ╭────────────────── 🧠 Response: ──────────────────╮                                                                                                                                                   utils.py:42
           │ ```python                                        │
           │ class Circuit2(Module):                          │
           │   def types(self):                               │
           │     self.Bit = bool                              │
           │                                                  │
           │   def locals(self):                              │
           │     self.c1 = Record(('r1', self.Bit))           │
           │     self.x2 = self.Bit                           │
           │     self.y2 = self.Bit                           │
           │     self.r2 = self.Bit                           │
           │                                                  │
           │   def instances(self):                           │
           │     self.c2 = Circuit(y1=self.c1.r1, y2=self.y2) │
           │                                                  │
           │   def next(self):                                │
           │     self.y2 = (self.x2 or self.c2.r2)            │
           │     self.r2 = (self.x2 or self.c2.r2)            │
           │                                                  │
           │ class Circuit1(Module):                          │
           │   def types(self):                               │
           │     self.Bit = bool                              │
           │                                                  │
           │   def locals(self):                              │
           │     self.y1 = self.Bit                           │
           │     self.r1 = self.Bit                           │
           │                                                  │
           │   def instances(self):                           │
           │     self.c1 = Circuit2()                         │
           │                                                  │
           │   def next(self):                                │
           │     self.y1 = self.c1.r1                         │
           │     self.r1 = not self.c1.r1                     │
           │                                                  │
           │ class Circuit(Module):                           │
           │   def types(self):                               │
           │     self.Bit = bool                              │
           │                                                  │
           │   def locals(self):                              │
           │     self.x2 = self.Bit                           │
           │     self.r1 = self.Bit                           │
           │     self.r2 = self.Bit                           │
           │                                                  │
           │   def outputs(self):                             │
           │     self.y1 = self.Bit                           │
           │     self.y2 = self.Bit                           │
           │                                                  │
           │   def instances(self):                           │
           │     self.c1 = Circuit1()                         │
           │     self.c2 = Circuit2()                         │
           │                                                  │
           │   def next(self):                                │
           │     self.y1 = self.c1.r1                         │
           │     self.r1 = not self.c1.r1                     │
           │     self.y2 = (self.x2 or self.c2.r2)            │
           │     self.r2 = (self.x2 or self.c2.r2)            │
           │ ```                                              │
           ╰──────────────────────────────────────────────────╯
           ╭───────────────── 🤖 Extracted: ──────────────────╮                                                                                                                                                   utils.py:24
           │                                                  │
           │ class Circuit2(Module):                          │
           │   def types(self):                               │
           │     self.Bit = bool                              │
           │                                                  │
           │   def locals(self):                              │
           │     self.c1 = Record(('r1', self.Bit))           │
           │     self.x2 = self.Bit                           │
           │     self.y2 = self.Bit                           │
           │     self.r2 = self.Bit                           │
           │                                                  │
           │   def instances(self):                           │
           │     self.c2 = Circuit(y1=self.c1.r1, y2=self.y2) │
           │                                                  │
           │   def next(self):                                │
           │     self.y2 = (self.x2 or self.c2.r2)            │
           │     self.r2 = (self.x2 or self.c2.r2)            │
           │                                                  │
           │ class Circuit1(Module):                          │
           │   def types(self):                               │
           │     self.Bit = bool                              │
           │                                                  │
           │   def locals(self):                              │
           │     self.y1 = self.Bit                           │
           │     self.r1 = self.Bit                           │
           │                                                  │
           │   def instances(self):                           │
           │     self.c1 = Circuit2()                         │
           │                                                  │
           │   def next(self):                                │
           │     self.y1 = self.c1.r1                         │
           │     self.r1 = not self.c1.r1                     │
           │                                                  │
           │ class Circuit(Module):                           │
           │   def types(self):                               │
           │     self.Bit = bool                              │
           │                                                  │
           │   def locals(self):                              │
           │     self.x2 = self.Bit                           │
           │     self.r1 = self.Bit                           │
           │     self.r2 = self.Bit                           │
           │                                                  │
           │   def outputs(self):                             │
           │     self.y1 = self.Bit                           │
           │     self.y2 = self.Bit                           │
           │                                                  │
           │   def instances(self):                           │
           │     self.c1 = Circuit1()                         │
           │     self.c2 = Circuit2()                         │
           │                                                  │
           │   def next(self):                                │
           │     self.y1 = self.c1.r1                         │
           │     self.r1 = not self.c1.r1                     │
           │     self.y2 = (self.x2 or self.c2.r2)            │
           │     self.r2 = (self.x2 or self.c2.r2)            │
           ╰──────────────────────────────────────────────────╯
           ╭────────────────── 🤖 Repaired: ──────────────────╮                                                                                                                                                   utils.py:24
           │ class Circuit2(Module):                          │
           │   def types(self):                               │
           │     self.Bit = bool                              │
           │                                                  │
           │   def locals(self):                              │
           │     self.c1 = Record(('r1', self.Bit))           │
           │     self.x2 = self.Bit                           │
           │     self.y2 = self.Bit                           │
           │     self.r2 = self.Bit                           │
           │                                                  │
           │   def instances(self):                           │
           │     self.c2 = Circuit(y1=self.c1.r1, y2=self.y2) │
           │                                                  │
           │   def next(self):                                │
           │     self.y2 = (self.x2 or self.c2.r2)            │
           │     self.r2 = (self.x2 or self.c2.r2)            │
           │                                                  │
           │ class Circuit1(Module):                          │
           │   def types(self):                               │
           │     self.Bit = bool                              │
           │                                                  │
           │   def locals(self):                              │
           │     self.y1 = self.Bit                           │
           │     self.r1 = self.Bit                           │
           │                                                  │
           │   def instances(self):                           │
           │     self.c1 = Circuit2()                         │
           │                                                  │
           │   def next(self):                                │
           │     self.y1 = self.c1.r1                         │
           │     self.r1 = not self.c1.r1                     │
           │                                                  │
           │ class Circuit(Module):                           │
           │   def types(self):                               │
           │     self.Bit = bool                              │
           │                                                  │
           │   def locals(self):                              │
           │     self.x2 = self.Bit                           │
           │     self.r1 = self.Bit                           │
           │     self.r2 = self.Bit                           │
           │                                                  │
           │   def outputs(self):                             │
           │     self.y1 = self.Bit                           │
           │     self.y2 = self.Bit                           │
           │                                                  │
           │   def instances(self):                           │
           │     self.c1 = Circuit1()                         │
           │     self.c2 = Circuit2()                         │
           │                                                  │
           │   def next(self):                                │
           │     self.y1 = self.c1.r1                         │
           │     self.r1 = not self.c1.r1                     │
           │     self.y2 = (self.x2 or self.c2.r2)            │
           │     self.r2 = (self.x2 or self.c2.r2)            │
           │                                                  │
           │                                                  │
           ╰──────────────────────────────────────────────────╯
           ╭────── 🤖 Stats: ───────╮                                                                                                                                                                             utils.py:24
           │ Original Lines: 22     │
           │ Final Lines:    55     │
           │ LLM Calls:      5      │
           │ LLM Time:       20.46s │
           │ Repair Time:    1.78s  │
           ╰────────────────────────╯
