More precisely, the exception in the byelaws is:
No answers, here, but just more (unresolved?) ambiguities if you try to pick holes in it.
Firstly imagine a TVM inside a locked building at "the station". This exception has to apply I think - "facilities in working order" must be interpreted as a reference to the availability ("fitness for use") of the "service" a physical TVM (or ticket office) provides. In short, to make sense, this exception must refer to the service rather than any equipment, otherwise a locked-up and inaccessible TVM would still count as "facilities in working order". Then imagine a TVM on the other side of a closed level crossing. The service it provides is similarly inaccessible, and one might similarly argue does not constitute such "facilities in working order". Then we're back to determining "the time when...he began his journey", as this exception applies only at this particular moment in time.
So on this analysis, we have two questions: At what moment in time does the journey begin? What is the state of the service provided at that moment in time? (A supplementary question, given that the provision of the service takes a finite amount of time that can only be estimated in advance, is whether this availability, as viewed retrospectively in the byelaw, may ever take into account the estimated time that would be taken to receive the service.)