Jane Doe #4:

(Note: the phrase "Good cop, insane cop" is from Hungry, and "Old and Stupid" is from Rush. Both were used to describe M & S.)

You start with the reaction:
good cop, insane cop + old and stupid --> good old cop + insane and stupid cop

We'll call "insane and stupid cop" an isoform of "mad and stupid", same components arranged differently. Something like cyclo-masheo-- nice, compact ring-- and n-masheo-- long, unwieldy chain, but we'll work with it. "Good old cop" is not detected, so it's probably a gas and none of the other substances are liquids (then we'd see bubbles). "Insane and stupid cop" is solid, as is "old and stupid", but in light of the abstractness of "good", I'm not sure whether "good cop, insane cop" is a solid or gas. So two things could be happening:

solid + solid--> gas + solid or
gas + solid--> gas + solid

In the first case, entropy increases because the number of gas molecules increases (none to some). In the second case, entropy increases anyway, because the number of types of particles doesn't change but the products are more complex.

Since this is, in one model, a reaction of ideas, and it took mental energy to form those products from the given reactants, the reaction's physical counterpart is endothermic. Endothermic reactions with increases in entropy occur spontaneously at high temperatures. At a high temperature, "insane and stupid cop" (n-masheo) will form spontaneously.

Ideal for bringing about the necessary increase in temperature is a heated argument between Mulder and Scully, but even if the temperature-raising event is of a different nature, it will still inevitably lead to an approximate declaration of madness and stupidity. MASHEO wins, no matter what!