They shoot particles together and make shrapnel, then they search among the shrapnel for a piece that fits the theory they are trying to prove. Analyzing with a bigger computer doesn't fix the issue there.
What's needed there is a control.
Because if the current fundamental particle model is incorrect, (61 fundamental particles), and those particles are not fundamental but themselves made of smaller particles, then you'll find a piece of shrapnel to fit your theory if you try long enough among the shrapnel you're creating.
There's also the why question. 61 particles, would lend themselves to 61 properties of larger particles (61 at least). Yet we have only 2 properties of larger particles: +ve and -ve charge. So you'd expect a model to be based on just 2 fundamental particles with the only difference between the two being charge! Why 61?