The phrase "swears bible" has no direct antonyms as it is not a single word and represents a specific action of taking an oath on the Bible. However, the concept of trust, belief, and promise are closely associated with the idea of "swearing Bible", and have many opposite words.
The antonyms for trust can be distrust, suspicion, doubt, skepticism, and cynicism. The antonyms for belief can be disbelief, disbelief, uncertainty, and doubt. The antonyms for promise can be break, revoke, reject, and abandon.
Thus, while "swears Bible" may not have a direct antonym, the related concepts of trust, belief, and promise have several opposite words that imply a lack of commitment, faith, and assurance.