Following the link from https://www.cut-the-knot.org/ctk/FromLCarrollToArchimedes.shtml#ship stating that the SHIP-DOCK theorem is false, I was surprised to find neither a counterexample nor a proof of the existence of one (This may be because there is a very obvious one which I am missing). Without further ado:SHIP
SKIP
SKIS
SKYS
SAYS
SACS
SACK
SOCK
DOCK
Of course, this fails if you count Y as a vowel, or if you disallow words with an apostrophe (sky's). But it's good enough for me.
Thankyou
sfwc
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PS if you take the view that Y can serve either as a vowel or as a consonant, I can't see an obvious way in which to tell which role it plays in SAYS. I would claim it is a consonant there on two grounds:
1. it plays a similar role in the word to the R in YOURS, and R is a consonant.
2. (selfish) it would mean that the above counterexample is valid.