GATE D1
Composite-14 generalization, candidates refuted
What changed
Affine landing is false for k=13 because units act trivially mod 2. The CRT-idempotent indicator is exact but cannot rescue a false target. Candidates refuted with counterexamples.
Evidence
check 1Landing statement fails on 8.5% of sampled tuples, counterexample kept
check 2All units are odd, so parity is locked under the unit action
check 3CRT-idempotent indicator exact on every tested composite modulus
Verification: single · I2 · 9 artifacts (reports, verifiers, corruption suites, manifest with SHA-256)