I put in the ChatGPT system prompt to be not sycophantic, be honest, and tell me if I am wrong. When I try to correct it, it hallucinates more complicated epicy

I put in the ChatGPT system prompt to be not sycophantic, be honest, and tell me if I am wrong. When I try to correct it, it hallucinates more complicated epicycles to explain how it was right the first time.