抄録
We show experimental results for proving Euclidean geometry theorems by Grobner bases method. In 1988, Chou Shang-Ching proved 512 theorems by Wu's method, and reported that 35 of them remained unsolvable by Grobner bases method. In this paper, we tried to prove these 35 theorems by Grobner basis method using three kinds of computer algebra systems : Reduce, Maple and Risa/Asir. As a result, we succeeded in proving 26 theorems but have found that the rest 9 theorems are essentially difficult to compute Grobner vases. We show the table of timing data and discuss several devices to complete the proof.
