diff --git a/compatible_clf_cbf/clf_cbf.py b/compatible_clf_cbf/clf_cbf.py
index f6c0e02..7ccb7a5 100644
--- a/compatible_clf_cbf/clf_cbf.py
+++ b/compatible_clf_cbf/clf_cbf.py
@@ -891,7 +891,8 @@ def bilinear_alternation(
             Use None to preserve all coefficients.
         """
 
-        # One and only one of inner_ellipsoid_options and compatible_states_options is None.
+        # One and only one of inner_ellipsoid_options and compatible_states_options is
+        # None.
         assert (
             inner_ellipsoid_options is not None and compatible_states_options is None
         ) or (inner_ellipsoid_options is None and compatible_states_options is not None)
diff --git a/examples/nonlinear_toy/synthesize_demo.py b/examples/nonlinear_toy/synthesize_demo.py
index b0843d3..af06a5c 100644
--- a/examples/nonlinear_toy/synthesize_demo.py
+++ b/examples/nonlinear_toy/synthesize_demo.py
@@ -67,7 +67,6 @@ def main(with_u_bound: bool):
     solver_options = solvers.SolverOptions()
     solver_options.SetOption(solvers.CommonSolverOption.kPrintToConsole, 0)
     solver_options.SetOption(solvers.ClarabelSolver.id(), "max_iter", 10000)
-    inner_ellipsoid_options = None
 
     V, b = compatible.bilinear_alternation(
         V_init,