answer: #Person1# arranges with #Person2# about the time they have lunch. Since they have schedules on 13th and 14th, they agree on the 15th.
documents: #Person1#: Are you free on the 13th? I was wondering if we could have lunch together.
  #Person2#: No I am afraid not. I am meeting John then. How about the 14th?
  #Person1#: The 14th? Let me check my schedule. Oh, I am sorry. I am in a meeting the whole day.
  #Person2#: I can also manage the day after. Are you free then?
  #Person1#: You mean the 15th? Let me see. Yes. I think I am. Shall we have the lunch at the Mass restaurant
  #Person2#: Good idea. What time shall we meet?
  #Person1#: Is 1 o'clock ok with you?
  #Person2#: Great. See you then.