No.  Councils cannot depose popes.
.....

Though a Council could declare him a non-Pope.

There is no need to formally depose Frank as the sham  'election' that smuggled him into the Vatican is not legal in the first place...  

No.  Councils cannot depose popes.
.....

Though a Council could declare him a non-Pope.

HOW TO IDENTIFY...
 The first thing we have to do is understand how to identify an antipope. It's not always easy. It could involve heresy, but it doesn't have to. For example, you could get a perfectly orthodox Roman Catholic as an antipope. It's happened before. In such cases, there would be something wrong with the election process. In ages past, sometimes conclaves were put under political pressure from the state. This can result in the election and instalment of an antipope. Or it may have nothing to do with the election process at all. It could simply be a failure, by the man who was elected pope, to fulfil the role of his office. This could be done by extreme corruption or heresy. That's not to say that legitimate popes can't be corrupt. They can be, and we've had our share in history. However, the surefire giveaway of an antipope is known heresy. You see, it is possible for a legitimate pope to believe heresy. It's even possible for a legitimate pope to act on heresy. Yes, it's even possible for a legitimate pope to speak about heresy in candid "off the cuff" remarks. However, it is IMPOSSIBLE for a legitimate pope to actively teach heresy to the faithful while exercising his pastoral role of the entire Church as pope. This is what the Holy Spirit guards the legitimate pope against. So, if we have a man in the papacy, who issues an OFFICIAL encyclical, or edict of some sort, that mandates the belief in a heresy, then we have an antipope.

WHO IDENTIFIES...
 Here's the good news about that. When it comes to identifying an antipope, it is NOT the responsibility of the laity. Granted, lay Catholics should be watchful of such things, but in the end, it is not our responsibility to decide who is an antipope, any more than it is our responsibility to decide who is a legitimate pope. Those responsibilities fall squarely on the shoulders of Catholic bishops -- particularly cardinals and archbishops. The sad election of the antipope in Kansas, Pope Michael, is an example of what happens when laypeople try to take upon themselves the task of deciding such things. One thing can lead to another, and it follows to reason, that if laypeople can decided who an antipope is, then they can also decide who a real pope is. This of course generates some very bazaar results, as the case of the Kansas antipope (Pope Michael) has demonstrated. Our responsibilities as laity, deacons and priests, is to simply look to our local bishop or ordinary for spiritual guidance. Granted, we should compare everything our leaders say with the Scriptures and the Catechism of course, as we should always be diligent, but we must understand that the role of identifying an antipope is their burden to carry -- not ours. It would be inappropriate (and reckless) to take this burden upon ourselves. We have not been given the responsibility, or the gifts of the Holy Spirit, to make this determination. By judging for ourselves if the man in the Vatican is an antipope, we are behaving like Protestants, by taking spiritual matters (of great importance) into our own hands. If you're worried about the man in the Vatican being an antipope, you need to look to your local bishop or ordinary for guidance. Does he believe he's an antipope too? Do his brother bishops believe he's an antipope? If not, then there's a good chance you're wrong, and your fears are unwarranted.

HOW IT WILL BE RESOLVED...
 If an antipope should arise anytime in the near (or distant) future, the problem will be resolved in some similar way to how it was resolved in ages past. In a worst case scenario, an ecuмenical council of the whole Catholic Church will be called, as we saw with the Council of Constance in AD 1414-1418. A more likely scenario would be an emergency conclave by the majority of cardinals. They will simply declare the current occupant of the Chair of Peter an antipope, and elect a new pope. That's it. Done. That's all there is to it. Now I would expect such an act would be followed by some general confusion for a while, but as soon as the dust settles, the majority of the world's bishops would realign with the new pope, and the antipope would eventually be forced to resign due to political and religious pressures. In these days of lightning-fast mass communication, I imagine those political and religious pressures would accuмulate rather quickly, forcing a quick resignation as a result. If not, well, we'll just have two "popes" for a while, until things start to sort themselves out. In time the antipope will be easy to identify, as well as the authentic pope.

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