Karen asks William a question, and William responds with an implicature. This means that William’s response does not literally contain the answer to Karen’s question, but implies an answer. Assuming that William is a cooperative conversational partner, what is the implicated answer to the question? For example:

Karen: You invented fire?
William: I told you that.
Intent: William says 'I told you that'. William’s response must be relevant to Karen’s question because William is a cooperative conversational partner. William must mean that he told Karen that he invented fire. William’s response to Karen’s question 'You invented fire?' is yes.
Answer: yes

Karen: That cake looks delicious. Aren't you going to have some with me?
William: But that was a huge meal we just had.
Intent: William’s response must be relevant to Karen’s question because William is a cooperative conversational partner. William must mean that the meal they just had was so huge he is not hungry anymore, and this must be relevant to Karen’s question: 'Aren’t you going to have some with me?' William’s response to the question must therefore be no.
Answer: no

Karen: Could you perform well?
William: Being bilingual would help put me ahead of the pack.
Intent: William says being bilingual would help put him ahead of the pack. William’s response must be relevant to Karen’s question because William is a cooperative conversational partner. William must be implying that he could perform well because he is bilingual. This means the response to Karen’s question is yes.
Answer: yes

Karen: Have you any news for me?
William: I've made progress
Intent: William says he has made progress. William’s response must be relevant to Karen’s question because William is a cooperative conversational partner. If William would not have any news for Karen, William would not have said he would have made progress because that would be misleading. The answer to Karen’s question 'Have you any news for me?' must therefore be yes.
Answer: yes

Karen: You looked out for him?
William: He looked out for me. He taught me.
Intent: Karen asks William 'You looked out for him?' and William’s response says that the person that is being referred to by 'him' here looked out for William. If William meant yes to Karen’s question, William would have said something like 'he also looked out for me'. Stating the response like this implies that the answer to Karen’s question is no.
Answer: no

Only output a 'yes' or 'no' as a final answer. Write your reasoning after 'Intent:' and then output either 'Answer: yes' or 'Answer: no'.