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<?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'">
<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'">
</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>
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