Example of lack of partition tolerance
A good example of a non-P tolerant system would be a single SMP machine. Imagine writing a value to memory and the operation being lost on the bus and not happening. That could be analogous to a network partition.
In such a situation with writing to memory on a single machine, we normally assume the box is just broken and accept incorrect behavior. Thus it’s not P tolerant and a single box can then do C and A.