## Problem 303 — rank:330

**Title:** Operational boundary between life and non-life

**Added binding assumptions (LaTeX):**

```latex
The formal consistency core is elementary. Form a graph on $\mathcal R$ with an edge between points at distance at most $\eta$. Every admissible $L$ is constant on each graph component, by repeated application of the displayed equality; conversely any component-constant assignment satisfies that equality. Thus conflicting benchmark labels in one component are impossible, and otherwise a solution exists among unrestricted classifiers. Membership in the chosen class $\mathcal H$ is an additional constraint. The research target is defensible features, benchmarks, separated uncertainty regions and useful biological classifications, not this solved consistency criterion.
```

**Direct edits:** 0. **Fresh external checks:** None; supplied sources retained as provenance.