A Finite Certificate for the Positive $n=9$ Vasc Inequality
We prove the positive-real $n=9$ case of the Vasc cyclic inequality. The proof was obtained with human-guided assistance from the AI agent MechMath Agent Team: the human-readable part reduces the rational inequality to a homogeneous polynomial inequality, fixes a cyclic maximum, and parametrizes each sorted fixed-maximum cone by cumulative gaps; the finite part is a certificate covering all $8!=40320$ sorted cones. MechMath Agent Team generated the certificate verification workflow through Python tool calls, including the case split, verification programs, and terminal classifications. The published certificate has $36815$ coefficient leaves, $2236$ ordinary Polya multiplier leaves, and $...
| Authors | Dakai Guo, Ruichen Qiu, Yichuan Cao et al. |
|---|---|
| Primary category | cs.SC |
| Published | 4 June 2026 |
| Last updated at source | 4 June 2026 |
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