Translation of unwiderlegbar

This is almost six hours, a long time for someone who has children and a day job. I recommend that we write eachother shorter emails and in both languages. Spanish and English next to eachother.
Let me continue to tell you about my adventures. So, as I have told you in my last writing I returned to the airport and scheduled a new date for my flight. This time I left myself five more days.
Some of the people had invited me for dinner and I joined them. I soon found out that they were eating at their apartment and were cooking by themselves. I found myself peeling raw potatoes.