In a court of law, Hypotheically speaking...?

Let's say that two individuals were to lie to the police about something that had happened between them, and they were to go back and say that what had happened really never happened at all, what would happen to them? Would charges be dropped? The individuals were not clearly thinking when the police had questioned them and did not know they would get in trouble, would going back and saying that it had actually never happened work, or would the case which is pending continue forward? Facts people, don't want what you think, just what you know. Hypotheically speaking ofcourse.
if there is enough evedence to continue, it will continue if they drop every case just because someone said it didn't happen no one would ever get in trouble, you're going to have to face the music, hypothetically speaking of coarse...
Arguably, they could be charged with filing a false police report, and/or obstruction of justice.

If the statements are made under oath, including in a signed and sworn affidavit, that is also perjury.

And the original case would continue going forward if the prosecutor believes the elements of the original offense can be proven -- and the previous statements to the police can still be entered as evidence (as 'statements against interest') even if the people later deny making those earlier statements.


Answers:
In a court, under oath telling lies=perjury
You could face charges both criminally and civilly hypothetically
The case would stop if you convince the cops it never really happened. However it would be up to their discretion if they charge you. The charge would be 'Public Mischief'.