I would argue that the first sentence is reasonably clear, and, if you think about it, the correct interpretation is the sensible one that avoids anomalies like the topic of this thread. However, if after the first sentence, the reader is unsure about what "minimum fare" means (is it the minimum discounted fare, i.e. the least amount that the discounted price will be, or is it the minimum original fare, i.e. the cheapest ticket that is eligible to be discounted?), then the second sentence is bound to leave them sure of the wrong conclusion.
(Of course, the second sentence is technically correct: A Railcard discount is being applied to all fares above the minimum fare, albeit not at the standard percentage for tickets just above the minimum fare, but the percentage is not stated at all in the
terms and conditions, so there is no contradiction there! However, if we want to be technical then the second sentence is incomplete because railcard discounts can also be applied to fares below the minimum fare, even though it results in the railcard-discounted ticket being more expensive than the undiscounted one - see for example
this Reddit post, whose URL I had to modify to bypass the forum's profanity filter, or search a short journey on one of the last surviving
Mixing Deck journey planners.)
I note that the Railcard terms and conditions were updated in May 2018, with the relevant clause changing from
"
7. A £12 minimum fare applies for journeys starting between 4.30am-10am Monday to Friday excluding Advance Fares. This minimum fare does not apply on Public Holidays or throughout July and August."
to
"
4.5. The 16-25 Railcard has a minimum fare that applies between 04.30 - 10.00 hours Monday to Friday. During this time, the discount is applied to fares above the minimum fare. This minimum fare does not apply to: 4.5.1.Advance tickets; or 4.5.2. journeys on public holidays; or 4.5.3. journeys during July and August. At the time of printing, the minimum fare is £12. The minimum fare is subject to change during the validity of your Railcard - see 16-25railcard.co.uk for the most up to date information."
Perhaps the person/committee that made the change did not understand, or realise the potential ambiguity in, how the "borderline" cases are handled.
Interestingly, the
Network Railcard terms and conditions does not contain the additional misleading sentence: "4.3 A minimum fare applies to all journeys Monday to Friday, excluding public holidays. At the time of printing, the minimum fare is £13. The minimum fare is subject to change during the validity of your Railcard - see network-railcard.co.uk for the most up to date information." This is despite a similar update having been made, from the earlier phrasing "7. A £13 minimum fare applies to all journeys Monday to Friday, excluding public holidays. A £1 minimum fare applies to child fares at all times. Travelcard minimum fares also apply - see minimum fares page for details. Please note, minimum fares are subject to change during the validity of your Railcard."