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Plea bargains.

Although the root fault is that a "guilty" plea costs the court less resources than a "not guilty" plea. If you wanted to solve this properly, you'd require that even if the defendant pleads guilty, there still has to be the full process of jury selection, presenting evidence and arguments (even if the defence's argument is "yeah, I did it") and deliberation (which, by design, gives twelve opportunities for someone to say "what the hell are we doing; this is clearly bunk" without that person being under threat of twenty-five-to-life for contempt of cop).

Edit: oh right, and you also need to make offering plea bargains (outside of state's-evidence cases) a twenty-five-to-life felony for the prosecutor.