Reading the Aberins Instruction Manual tells me that you have Normally Open alarm outputs.
To keep things simple for ME
, I would use a small 'Ice Cube' relay on the PID alarm terminals to fire the heavy contactor feeding the SSR.
Use the Normally Closed set of contacts on the Ice Cube relay.
So . . . . . . .
When a high alarm condition occurs, power is applied to the Ice Cube relay, the N.C contacts open up and the SSR contactor looses power.
There is a condition we sometime see that we call 'cycling on the alarm'.
The SSR fails closed/on and the controller alarm keeps cycling off as the temp drops and back on when overtemp again.
There is 'latching circuit' wiring that you can incorporate with this relay that will require you to intervene before it releases and lets power flow to the SSR contactor again.
I can help you with that too if you think that is something that interests you.
This is an Ice Cube relay:
It can expand your Single Pole N.O. alarm contact by 8. 4-N.O., 4-N.C.