Arthur had many chances to deal deadly wounds to his enemy, however he refrained from doing that.
He was aiming towards getting stronger. Per his past rich experience, he knew this world was a very rare chance for him to get stronger.
Missing this chance or ending it in haste wasn't the wise thing to do. Cultivators gained strength by the amount of obstacles they overcame, and not just but by winning the trials.
And so he didn't aim to kill that monster, not yet. His main and sole focus now was to make sure that monster would stay alive as long as it took for him to reap all the benefits from here.
Arthur kept throwing the monster and chasing it all over the world. At some point he felt the monster started to get weary and exhausted to the point it couldn't exchange properly with him.
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