We present the proofs of the conjectures mentioned in the paper published in the proceedings of the 2024 AAAI conference [1], and discovered by the decomposition methods presented in the same paper.

翻译：我们给出了[1]中发表于2024年AAAI会议论文集论文中提到的猜想的证明，这些猜想通过同一论文中提出的分解方法发现。