← Lab
clockmod
confirmedPython · CPUModel behavior & reasoningJuly 6, 2026
the question
Can a small model do 12-hour clock arithmetic?
what came out
Directly, it's at chance past a 2-hour jump. Writing the mod-12 reduction out loud rescues the capable model completely (frontier 2->10, p=7e-31) and barely helps the weak one. A 5th confirmation that CoT helps scalar-state tasks. Exact oracle.
method & receipts
- Result: confirmed
- Reproducible — one script re-runs the whole thing from scratch.
- Independently reviewed — an adversarial review pass, kept in the repo.
- Machine-readable claims — every reported number, in a checkable file.
- Tested — a correctness/benchmark suite ships alongside the code.
→ read the code and re-run it
github.com/v-code01/clockmod