How do you respond in an interview that you were terminated?I have never been terminated from a job.?

I worked for a company for 1 ½ years. I was terminated for “falsification of time card”. I did not do so. This was a job sabotage because I was about to receive the job offer for different position. What happened was I was running 5 min. late. I was on phone with co-worker, and we had joked about my coming in late because I am always on time. I was also in the running for a new position. There were 2 co-workers there at the time. One of which had access to our log in ID’s. She is not an HR, Admin, or anything..just a regular non salaried worker like us. She had sent this email some months prior, and no one wanted to send theirs. But a few did, and I was one. I had not told the other 2 I was looking for another position within the company. When I came to my desk, my phone was already logged in. I logged out, and logged back in due to I had phone problems in the past. I went to get something to drink. My phone had been logged out again, so I logged in again thinking maybe I did not log in. Well, I worked 8 hours and 45 minutes. Due to make up time as well as flex time. I was approached that day by my sup, and she stated someone told her I had my co-worker friend log me in. I told her I logged in twice because my phone was having issues. She said there are people who are going to lose their jobs if I don’t tell the truth. I stated this again. So, it was brought to me again, and I just went ahead and said I did. They fired me as well as my coworker. 2 DAYS LATER!!!!!!!Stated they did not know how HR policies were done. And mind you, I have NEVER BEEN WRITTEN UP OR ON ANY TYPE OF DISCIPLINARY ACTION!!!!!Now, I have not received unemployment, and have been out of work for 6 months. I have had 12 interviews with no bite. I missed the deadline of fighting my unemployment due to I thought I could not fight it anymore. The problem I am running into is I had some friends call and act like hiring manager/reference people. I actually heard my supervisor say she would rehire me, as well as I was great on absenteeism. She also referred them to our company HR number. And she told them I left to pursue other job opportunities elsewhere. Well, when you call our company 800 number, it states “terminated”. The rep at that number told me that is the term they use for layoff, termination, downsizing, retirement, quitting, etc. So, what do I need to say as far as the reason I left? My sup is saying that I left to pursue other job opportunities. I spoke with my sup who told me to tell them to call the 800 number to employer verify. I just don’t know who I can trust. All I know is I was shafted, and have not been able to find a job since….please help. Thank you.