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Re: [Coq-Club] 2048


Chronological Thread 
  • From: Pierre-Yves Strub <pierre-yves AT strub.nu>
  • To: coq-club AT inria.fr
  • Subject: Re: [Coq-Club] 2048
  • Date: Sun, 30 Mar 2014 16:51:18 +0200

With an oracle, thm1 is ok. For thm2...

Lemma thm1 : exists ms, g2048 seed ms.
Proof.
set (ms := Dm :: Dm :: Dm :: Dm :: Rm :: Dm :: Rm ::
Dm :: Rm :: Dm :: Lm :: Rm :: Dm :: Rm ::
Rm :: Rm :: Dm :: Rm :: Dm :: Lm :: Dm ::
Dm :: Rm :: Dm :: Dm :: Rm :: Dm :: Dm ::
Rm :: Rm :: Dm :: Rm :: Dm :: Rm :: Dm ::
Dm :: Rm :: Dm :: Dm :: Dm :: Dm :: Dm ::
Rm :: Rm :: Rm :: Dm :: Rm :: Dm :: Rm ::
Rm :: Dm :: Dm :: Rm :: Dm :: Dm :: Rm ::
Rm :: Dm :: Lm :: Dm :: Rm :: Dm :: Dm ::
Rm :: Lm :: Rm :: Dm :: Lm :: Dm :: Rm ::
Dm :: Dm :: Lm :: Dm :: Lm :: Rm :: Dm ::
Dm :: Rm :: Dm :: Dm :: Rm :: Rm :: Dm ::
Dm :: Lm :: Dm :: Rm :: Dm :: Rm :: Dm ::
Dm :: Dm :: Dm :: Rm :: Dm :: Lm :: Dm ::
Lm :: Dm :: Lm :: Dm :: Dm :: Rm :: Rm ::
Dm :: Dm :: Lm :: Dm :: Rm :: Dm :: Dm ::
Lm :: Dm :: Dm :: Lm :: Rm :: Dm :: Dm ::
Lm :: Dm :: Lm :: Dm :: Dm :: Dm :: Dm ::
Rm :: Dm :: Lm :: Dm :: Lm :: Dm :: Lm ::
Dm :: Rm :: Rm :: Dm :: Dm :: Rm :: Dm ::
Dm :: Rm :: Dm :: Dm :: Lm :: Rm :: Dm ::
Dm :: Rm :: Rm :: Dm :: Dm :: Dm :: Lm ::
Dm :: Rm :: Dm :: Lm :: Dm :: Lm :: Dm ::
Rm :: Dm :: Dm :: Dm :: Rm :: Lm :: Rm ::
Dm :: Lm :: Rm :: Dm :: Lm :: Dm :: Dm ::
Lm :: Dm :: Rm :: Dm :: Dm :: Rm :: Dm ::
Lm :: Dm :: Lm :: Dm :: Dm :: Dm :: Dm ::
Dm :: Rm :: Dm :: Lm :: Dm :: Lm :: Dm ::
Lm :: Dm :: Rm :: Rm :: Dm :: Dm :: Dm ::
Dm :: Dm :: Rm :: Dm :: Lm :: Dm :: Dm ::
Lm :: Dm :: Rm :: Dm :: Lm :: Dm :: Rm ::
Dm :: Dm :: Dm :: Dm :: Rm :: Dm :: Lm ::
Lm :: Rm :: Dm :: Dm :: Lm :: Dm :: Lm ::
Dm :: Rm :: Dm :: Dm :: Lm :: Dm :: Lm ::
Dm :: Lm :: Dm :: Rm :: Dm :: Dm :: Dm ::
Dm :: Dm :: Lm :: Rm :: Dm :: Dm :: Rm ::
Lm :: Dm :: Lm :: Dm :: Dm :: Lm :: Dm ::
Lm :: Dm :: Lm :: Dm :: Rm :: Lm :: Dm ::
Dm :: Dm :: Lm :: Dm :: Dm :: Lm :: Rm ::
Lm :: Dm :: Lm :: Dm :: Dm :: Rm :: Rm ::
Rm :: Dm :: Lm :: Dm :: Rm :: Dm :: Lm ::
Dm :: Rm :: Dm :: Dm :: Dm :: Dm :: Rm ::
Dm :: Lm :: Rm :: Lm :: Dm :: Rm :: Dm ::
Lm :: Rm :: Dm :: Lm :: Dm :: Rm :: Dm ::
Dm :: Dm :: Dm :: Dm :: Lm :: Rm :: Dm ::
Dm :: Dm :: Dm :: Dm :: Rm :: Dm :: Dm ::
Dm :: Lm :: Dm :: Lm :: Dm :: Dm :: Lm ::
Dm :: Dm :: Lm :: Dm :: Rm :: Rm :: Dm ::
Dm :: Dm :: Lm :: Dm :: Rm :: Dm :: Lm ::
Dm :: Rm :: Dm :: Dm :: Dm :: Lm :: Dm ::
Dm :: Lm :: Rm :: Dm :: Lm :: Dm :: Dm ::
Lm :: Lm :: Dm :: Lm :: Dm :: Dm :: Dm ::
Rm :: Dm :: Dm :: Lm :: Dm :: Lm :: Dm ::
Dm :: Lm :: Dm :: Lm :: Dm :: Lm :: Dm ::
Dm :: Lm :: Dm :: Dm :: Lm :: Dm :: Lm ::
Dm :: Dm :: Lm :: Dm :: Lm :: Dm :: Rm ::
Rm :: Dm :: Dm :: Rm :: Dm :: Dm :: Rm ::
Dm :: Dm :: Lm :: Rm :: Dm :: Lm :: Dm ::
Rm :: Dm :: Dm :: Dm :: Dm :: Dm :: Rm ::
Dm :: Lm :: Rm :: Dm :: Dm :: Lm :: Dm ::
Rm :: Rm :: Lm :: Dm :: Rm :: Dm :: Dm ::
Lm :: Dm :: Lm :: Dm :: Dm :: Dm :: Lm ::
Dm :: Dm :: Lm :: Dm :: Lm :: Dm :: Dm ::
Dm :: Dm :: Lm :: Dm :: Rm :: Lm :: Dm ::
Dm :: Dm :: Dm :: Lm :: Rm :: Lm :: Dm ::
Dm :: Lm :: Dm :: Dm :: Rm :: Dm :: Dm ::
Dm :: Dm :: Dm :: Dm :: Dm :: Dm :: Dm ::
Dm :: Dm :: Dm :: Dm :: Lm :: Rm :: Dm ::
Lm :: Dm :: Dm :: Dm :: Dm :: Lm :: Dm ::
Dm :: Lm :: Dm :: Lm :: Dm :: Dm :: Lm ::
Dm :: Rm :: Dm :: Dm :: Lm :: Rm :: Dm ::
Dm :: Lm :: Dm :: Lm :: Dm :: Lm :: Dm ::
Rm :: Lm :: Dm :: Dm :: Dm :: Lm :: Dm ::
Dm :: Rm :: Dm :: Lm :: Dm :: Rm :: Dm ::
Dm :: Dm :: Lm :: Dm :: Lm :: Dm :: Dm ::
Lm :: Dm :: Rm :: Dm :: Dm :: Rm :: Dm ::
Dm :: Dm :: Lm :: Dm :: Dm :: Lm :: Dm ::
Lm :: Dm :: Lm :: Dm :: Dm :: Rm :: Lm ::
Dm :: Lm :: Dm :: Rm :: Lm :: Dm :: Lm ::
Rm :: Lm :: Dm :: Rm :: Dm :: Lm :: Lm ::
Dm :: Dm :: Rm :: Rm :: Dm :: Rm :: Dm ::
Dm :: Dm :: Dm :: Dm :: Rm :: Dm :: Lm ::
Dm :: Rm :: Dm :: Dm :: Dm :: Lm :: Dm ::
Lm :: Dm :: Rm :: Dm :: Dm :: Lm :: Dm ::
Rm :: Dm :: Rm :: Dm :: Lm :: Dm :: Dm ::
Lm :: Dm :: Rm :: Dm :: Rm :: Dm :: Lm ::
Dm :: Rm :: Dm :: Lm :: Rm :: Dm :: Lm ::
Dm :: Dm :: Rm :: Dm :: Lm :: Dm :: Rm ::
Dm :: Lm :: Dm :: Rm :: Dm :: Dm :: Rm ::
Dm :: Dm :: Dm :: Dm :: Lm :: Dm :: Lm ::
Dm :: Rm :: Lm :: Dm :: Dm :: Dm :: Lm ::
Dm :: Lm :: Dm :: Dm :: Lm :: Dm :: Lm ::
Dm :: Rm :: Rm :: Dm :: Dm :: Dm :: Lm ::
Rm :: Dm :: Rm :: Dm :: Rm :: Dm :: Dm ::
Lm :: Dm :: Rm :: Dm :: Lm :: Dm :: Rm ::
Dm :: Dm :: Dm :: Dm :: Dm :: Lm :: Dm ::
Dm :: Lm :: Dm :: Lm :: Dm :: Rm :: Dm ::
Dm :: Dm :: Dm :: Dm :: Rm :: Dm :: Lm ::
Dm :: Dm :: Lm :: Dm :: Lm :: Dm :: Rm ::
Dm :: Lm :: Dm :: Lm :: Dm :: Lm :: Dm ::
Dm :: Dm :: Dm :: Dm :: Dm :: Lm :: Dm ::
Dm :: Rm :: Lm :: Dm :: Dm :: Lm :: Dm ::
Dm :: Lm :: Rm :: Dm :: Dm :: Lm :: Dm ::
Dm :: Lm :: Dm :: Lm :: Dm :: Lm :: Dm ::
Dm :: Lm :: Dm :: Dm :: Lm :: Dm :: Lm ::
Dm :: Dm :: Lm :: Dm :: Lm :: Dm :: Lm ::
Dm :: Rm :: Lm :: Dm :: Dm :: Rm :: Lm ::
Dm :: Lm :: Dm :: Rm :: Dm :: Dm :: Dm ::
Dm :: Dm :: Lm :: Dm :: Rm :: Lm :: Dm ::
Rm :: Lm :: Dm :: Dm :: Lm :: Dm :: Lm ::
Rm :: Lm :: Dm :: Lm :: Dm :: Rm :: Lm ::
Dm :: Rm :: Lm :: Dm :: Rm :: Lm :: Lm ::
Rm :: Lm :: Dm :: Dm :: Lm :: Dm :: Rm ::
Rm :: Dm :: Dm :: Dm :: Dm :: Dm :: Dm ::
Dm :: Dm :: Dm :: Lm :: Dm :: Rm :: Dm ::
Dm :: Lm :: Dm :: Dm :: Rm :: Dm :: Lm ::
Dm :: Dm :: Lm :: Lm :: Dm :: Lm :: Lm ::
Dm :: Dm :: Dm :: Rm :: Dm :: Lm :: Dm ::
Dm :: Dm :: Dm :: Rm :: Dm :: Rm :: Dm ::
Dm :: Dm :: Lm :: Dm :: Dm :: Rm :: Dm ::
Dm :: Lm :: Dm :: Rm :: Dm :: Lm :: Lm ::
Dm :: Dm :: Rm :: Dm :: Lm :: Dm :: Rm ::
Dm :: Lm :: Dm :: Lm :: Dm :: Rm :: Dm ::
Lm :: Dm :: Lm :: Dm :: Lm :: Dm :: Dm ::
Rm :: Lm :: Dm :: Dm :: Lm :: Dm :: Dm ::
Lm :: Dm :: Rm :: Lm :: Dm :: Dm :: Dm ::
Dm :: Dm :: Rm :: Lm :: Dm :: Dm :: Lm ::
Dm :: Dm :: Dm :: Rm :: Lm :: Dm :: Dm ::
Dm :: Lm :: Rm :: Lm :: Dm :: Lm :: Dm ::
Rm :: Lm :: Dm :: Rm :: Lm :: Dm :: Rm ::
Lm :: Lm :: Rm :: Lm :: Dm :: Dm :: Lm ::
Dm :: Rm :: Lm :: Dm :: Dm :: Dm :: Dm ::
Rm :: Lm :: Dm :: Dm :: Dm :: Lm :: Rm ::
Lm :: Dm :: Lm :: Dm :: Dm :: Rm :: Lm ::
Dm :: Rm :: Dm :: Lm :: Dm :: Rm :: Lm ::
Dm :: Rm :: Lm :: Rm :: Lm :: Dm :: Lm ::
Dm :: Rm :: Lm :: Dm :: Rm :: Lm :: Dm ::
Rm :: Lm :: Lm :: Rm :: Lm :: Dm :: Dm ::
Dm :: Lm :: Rm :: Lm :: Dm :: Lm :: Rm ::
Lm :: Dm :: Rm :: Dm :: Rm :: Rm :: Lm ::
Rm :: Dm :: Dm :: Lm :: Lm :: Dm :: Lm ::
Dm :: Dm :: Dm :: Dm :: Lm :: Dm :: Lm ::
Dm :: Rm :: Lm :: Dm :: Lm :: Dm :: Rm ::
Lm :: Dm :: Lm :: Rm :: Lm :: Dm :: Rm ::
Lm :: Lm :: Rm :: Lm :: Dm :: Rm :: Dm ::
Rm :: Rm :: Dm :: Dm :: Lm :: Dm :: Lm ::
Dm :: Dm :: Rm :: Lm :: Dm :: Rm :: Dm ::
Dm :: Rm :: Lm :: Dm :: Lm :: Rm :: Lm ::
Lm :: Rm :: Dm :: Lm :: Rm :: Dm :: Lm ::
Dm :: Lm :: Lm :: Dm :: Rm :: Rm :: nil).

exists ms; vm_compute; trivial.
Qed.

Pierre-Yves.




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