<?xml version="1.0" encoding="UTF-8"?>
<!DOCTYPE why3session PUBLIC "-//Why3//proof session v5//EN"
"http://why3.lri.fr/why3session.dtd">
<why3session shape_version="6">
<file format="whyml">
<path name=".."/><path name="drinker.mlw"/>
<theory name="Top">
 <goal name="drinkers_paradox">
 <transf name="case" arg1="(exists i. not (b i))">
  <goal name="drinkers_paradox.0" expl="true case" proved="true">
  <transf name="destruct" proved="true" arg1="h">
   <goal name="drinkers_paradox.0.0" expl="true case" proved="true">
   <transf name="exists" proved="true" arg1="i">
    <goal name="drinkers_paradox.0.0.0" proved="true">
    <transf name="intros" proved="true" arg1="h&#39;">
     <goal name="drinkers_paradox.0.0.0.0" proved="true">
     <transf name="destruct_rec" proved="true" arg1="h">
      <goal name="drinkers_paradox.0.0.0.0.0" expl="destruct premise" proved="true">
      <transf name="apply" proved="true" arg1="h&#39;">
      </transf>
      </goal>
     </transf>
     </goal>
    </transf>
    </goal>
   </transf>
   </goal>
  </transf>
  </goal>
  <goal name="drinkers_paradox.1" expl="false case">
  <transf name="exists" arg1="a">
   <goal name="drinkers_paradox.1.0">
   <transf name="intros" arg1="h1">
    <goal name="drinkers_paradox.1.0.0">
    <transf name="destruct" arg1="h">
     <goal name="drinkers_paradox.1.0.0.0">
     </goal>
    </transf>
    </goal>
   </transf>
   </goal>
  </transf>
  </goal>
 </transf>
 <transf name="case" arg1="(forall j. b j)">
  <goal name="drinkers_paradox.0" expl="true case" proved="true">
  <transf name="exists" proved="true" arg1="a">
   <goal name="drinkers_paradox.0.0" proved="true">
   <transf name="intros" proved="true" arg1="h1,j">
    <goal name="drinkers_paradox.0.0.0" proved="true">
    <transf name="apply" proved="true" arg1="h">
    </transf>
    </goal>
   </transf>
   </goal>
  </transf>
  </goal>
  <goal name="drinkers_paradox.1" expl="false case">
  <transf name="destruct" arg1="h">
   <goal name="drinkers_paradox.1.0" expl="false case">
   </goal>
  </transf>
  </goal>
 </transf>
 </goal>
</theory>
</file>
</why3session>
