There is no 'reset', and the protection circuits don't shut off the radio; they fold back the drive and output power when a higher SWR is sensed. There are conditions, however, where the output is reduced because of high SWR but the finals are still drawing excessive current and are overheating.
Don't rely on the protection circuits. If the radio malfunctioned because of excessive heat, you are skating on thin ice and must get the load SWR to within reasonable limits.
Others may have differing opinions, but I wouldn't operate a TS-130 (or TS-120) into a load with an SWR of more than 1.5:1. It's too risky, especially when the radio is barely worth more than the cost of a pair of final transistors plus labour.
Thankfully, the radio wasn't operating under that high of a load for that long. The SWR problem is now fixed, but I will make double and triple sure that the SWR is within reason before trying again. I just hope that I didn't damage the radio. I was operating it with around a 1.5:1 SWR, so hopefully no permanent damage occurred.