Pilot prep: simplex schema, projection, alignment, lint, stats, pilot scripts, protocol v1

Co-Authored-By: Claude Sonnet 5.5 <noreply@anthropic.com>
Claude-Session: https://claude.ai/code/session_01FYqwNMyPUHeTbFWg83GQq6

tests/test_lint.py

@@ -0,0 +1,34 @@
+from leanbench.lint import lint
+from leanbench.project import project
+
+
+def found(code):
+    return lint(project(code))
+
+
+def test_clean_statement_has_no_findings():
+    code = "theorem t (G : Type*) [Group G] (g : G) : g * 1 = g := by sorry"
+    assert found(code) == []
+
+
+def test_unused_binder():
+    assert "unused_binder:k" in found("theorem t (n k : ℕ) : n = n := by rfl")
+
+
+def test_carrier_type_is_not_flagged_as_unused():
+    assert not any(f.startswith("unused") for f in found(
+        "theorem t (G : Type*) [Group G] (g : G) : g = g := by rfl"))
+
+
+def test_natural_subtraction_hazard():
+    assert "nat_subtraction" in found("theorem t (a b : ℕ) : a - b + b = a := by sorry")
+    assert "nat_subtraction" not in found("theorem t (a b : ℤ) : a - b + b = a := by ring")
+
+
+def test_integer_division_hazard():
+    assert "integer_division" in found("theorem t (a : ℕ) : a / 2 * 2 = a := by sorry")
+
+
+def test_trivial_goal_and_degenerate():
+    assert "trivial_goal" in found("theorem t (n : ℕ) : True := by trivial")
+    assert "degenerate" in found("theorem t : 2 + 2 = 4 := by norm_num")