You are making formal reps, so start with:
I am making formal representations against PCN ****** on the following grounds:
The alleged contravention did not occur;
Procedural impropriety.
Contravention
As is shown in the council's photos, the traffic sign which conveys the restriction gives the following information:
Pay by phone or
'Pay at machine'; an arrow conveying that the machine to be used is to the left; Display ticket;
Presumably this machine would have conveyed the detailed terms and conditions which, according to the council, included a requirement to obtain a free ticket. However, as the council will know there isn't a machine which can be consulted by a driver. In my case, my search for a machine took me considerably outside the parking place, **including crossing the road. I did locate a machine at **** but I could not be confident that this and its conditions applied to where I was parked. Please see my recent photos** attached to prove the above.[ I even enquired in adjacent shops [I don't know whether to include this, did the CEO see you coming out of the shop]
It follows that the council has not conveyed the restriction as is their duty under the applicable regulations(s18 applies:
https://www.legislation.gov.uk/uksi/1996/2489/regulation/18/made) and therefore there was no contravention of the restriction.
In order to pre-empt any attempt by the council to deny their duty under the regulations, the fact that there was a phone option, which presumably carried the Ts and Cs on which the council rely, is not a defence available to them because paying at the machine was a lawful alternative. It could never be the duty of the driver to search for a machine - effectively to 'traipse the streets' (which is an expression used by adjudicators on this point)- and then, in its absence, to use a phone(even assuming one was held) to discover these terms. The duty lies with the council who, having placed this traffic sign, were obligated to ensure that a machine was placed accordingly.
As a base for discussion. But I cannot put words into your mouth or invent things which did not happen, therefore unless 'I' applies, you should refer to matters in the third person as in 'a driver cannot be expected' etc.