But I do it now only for Mizar, and I told you the results (the
   shortening would be about 1400 lines of your Mizar code to some 300,
   if ATPs could prove everything).

Josef, that's great, and Mizar is fine.  Can you show me your 300 lines of 
Mizar code, and tell me how to run it on Vampire?   Why not even make it 
shorter by taking out Gupta's theorem etc which Vampire won't prove in one 
line?  I see there's prover9 stuff in the Hol Light distribution, e.g. 
hol_light/Examples/prover9.ml.  

I think you're pointing to something I need to explain in my geometry paper, 
which we might call the difference between ATPs and Mizar.   Now ATP means 
Automated theorem prover?   So Mizar is not an ATP, but as it only checks quite 
detailed proofs?    I want to say that miz3 can be used as an ATP, unlike 
Mizar, but miz3 isn't a very efficient ATP (taking maybe 3 hours to prove my 
simple result Line01infinity2_THM which is just a set-theoretic restatement of 
the uniqueness part of axiom I1, 2 points uniquely determine a line), and 
vampire or prover9 is a much more efficient ATP. 

-- 
Best,
Bill 

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