You don't solve any "pension time bomb" problem by switching money that ought to be spent on pensions onto unemployment welfare and beyond. At any point there are only so many jobs and thus will be a certain number of unemployed that have to be supported. That doesn't change. The only changes that occur when raising a State pension age seem to be :
a) Decent citizens who have contributed to the country all their life are forced to work until they drop as past agreements are torn up by an uncaring government.
b) Younger folk who either do not wish to contribute, or who can't because of a lack of job positions, are even less likely to find a position. These will include those who also have families to support so has to be more costly than a pension.
c) The more immoral politicians and civil servants can rub their hands in glee as individuals feel they have to leave employment (or rightfully feel they deserve to having done their bit) struggle to live on whatever savings they managed to put by (if any) and the State offers nothing until they are poor.
I suspect the reality is to try to dump the State pension entirely for self provided ones, along with all associated risks carried by individuals, many of whom may not have the income to provide much for their future selves anyway.
This whole pension age raising move, using the number of older folk around as an excuse, is disgusting, and unworthy of a civilized society. Given the gap between the number of job positions available and the number of younger folk who are unemployed, the only sensible thing to do would be to lower the State pension age to narrow that gap; especially since it seems clear that a single person's pension must cost less than welfare for an adult with a family. Target jobs to the true 'unemployed that ought to be employed' group.