File: why3session.xml

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file content (252 lines) | stat: -rw-r--r-- 12,165 bytes parent folder | download | duplicates (2) 
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<?xml version="1.0" encoding="UTF-8"?>
<!DOCTYPE why3session PUBLIC "-//Why3//proof session v5//EN"
"https://www.why3.org/why3session.dtd">
<why3session shape_version="6">
<prover id="0" name="Alt-Ergo" version="2.3.3" timelimit="5" steplimit="0" memlimit="1000"/>
<prover id="1" name="Alt-Ergo" version="2.0.0" timelimit="5" steplimit="0" memlimit="1000"/>
<prover id="2" name="Alt-Ergo" version="2.4.0" timelimit="1" steplimit="0" memlimit="1000"/>
<prover id="3" name="Alt-Ergo" version="2.3.0" timelimit="1" steplimit="0" memlimit="1000"/>
<prover id="7" name="Z3" version="4.8.10" timelimit="1" steplimit="0" memlimit="1000"/>
<file format="whyml" proved="true">
<path name=".."/><path name="bag.mlw"/>
<theory name="Bag" proved="true">
 <goal name="add&#39;vc" expl="VC for add" proved="true">
 <proof prover="3"><result status="valid" time="0.000000" steps="0"/></proof>
 </goal>
 <goal name="remove&#39;vc" expl="VC for remove" proved="true">
 <proof prover="3"><result status="valid" time="0.000000" steps="0"/></proof>
 </goal>
</theory>
<theory name="BagSpec" proved="true">
 <goal name="t&#39;vc" expl="VC for t" proved="true">
 <proof prover="1"><result status="valid" time="0.000000" steps="1"/></proof>
 </goal>
</theory>
<theory name="ResizableArraySpec" proved="true">
 <goal name="rarray&#39;vc" expl="VC for rarray" proved="true">
 <proof prover="1"><result status="valid" time="0.000000" steps="1"/></proof>
 </goal>
</theory>
<theory name="BagImpl" proved="true">
 <goal name="t&#39;vc" expl="VC for t" proved="true">
 <proof prover="0"><result status="valid" time="0.000000" steps="15"/></proof>
 </goal>
 <goal name="create&#39;vc" expl="VC for create" proved="true">
 <proof prover="0"><result status="valid" time="0.010000" steps="40"/></proof>
 </goal>
 <goal name="length_&#39;vc" expl="VC for length_" proved="true">
 <proof prover="7"><result status="valid" time="0.024215" steps="1362"/></proof>
 </goal>
 <goal name="clear&#39;vc" expl="VC for clear" proved="true">
 <proof prover="0"><result status="valid" time="0.010000" steps="50"/></proof>
 </goal>
 <goal name="add&#39;vc" expl="VC for add" proved="true">
 <transf name="split_goal_right" proved="true" >
  <goal name="add&#39;vc.0" expl="precondition" proved="true">
  <proof prover="0"><result status="valid" time="0.000000" steps="8"/></proof>
  </goal>
  <goal name="add&#39;vc.1" expl="assertion" proved="true">
  <transf name="split_goal_right" proved="true" >
   <goal name="add&#39;vc.1.0" expl="assertion" proved="true">
   <proof prover="0"><result status="valid" time="0.010000" steps="24"/></proof>
   </goal>
   <goal name="add&#39;vc.1.1" expl="VC for add" proved="true">
   <proof prover="7"><result status="valid" time="0.046185" steps="64514"/></proof>
   </goal>
  </transf>
  </goal>
  <goal name="add&#39;vc.2" expl="precondition" proved="true">
  <proof prover="0"><result status="valid" time="0.000000" steps="23"/></proof>
  </goal>
  <goal name="add&#39;vc.3" expl="assertion" proved="true">
  <transf name="split_vc" proved="true" >
   <goal name="add&#39;vc.3.0" expl="assertion" proved="true">
   <transf name="split_vc" proved="true" >
    <goal name="add&#39;vc.3.0.0" expl="assertion" proved="true">
    <transf name="case" proved="true" arg1="(v=x)">
     <goal name="add&#39;vc.3.0.0.0" expl="true case (assertion)" proved="true">
     <transf name="assert" proved="true" arg1="(numof t_data v 0 n = numof t_data[n &lt;- v] v 0 n)">
      <goal name="add&#39;vc.3.0.0.0.0" expl="asserted formula" proved="true">
      <transf name="unfold" proved="true" arg1="numof">
       <goal name="add&#39;vc.3.0.0.0.0.0" expl="asserted formula" proved="true">
       <transf name="apply" proved="true" arg1="numof_change_equiv">
        <goal name="add&#39;vc.3.0.0.0.0.0.0" expl="apply premises" proved="true">
        <proof prover="2"><result status="valid" time="0.015946" steps="55"/></proof>
        </goal>
       </transf>
       </goal>
      </transf>
      </goal>
      <goal name="add&#39;vc.3.0.0.0.1" expl="true case (assertion)" proved="true">
      <proof prover="7"><result status="valid" time="0.035474" steps="33664"/></proof>
      </goal>
     </transf>
     </goal>
     <goal name="add&#39;vc.3.0.0.1" expl="false case (assertion)" proved="true">
     <proof prover="2"><result status="valid" time="0.484372" steps="3803"/></proof>
     </goal>
    </transf>
    </goal>
   </transf>
   </goal>
  </transf>
  </goal>
  <goal name="add&#39;vc.4" expl="type invariant" proved="true">
  <proof prover="0"><result status="valid" time="0.010000" steps="29"/></proof>
  </goal>
  <goal name="add&#39;vc.5" expl="type invariant" proved="true">
  <proof prover="0"><result status="valid" time="0.496952" steps="551"/></proof>
  </goal>
  <goal name="add&#39;vc.6" expl="postcondition" proved="true">
  <proof prover="0"><result status="valid" time="0.000000" steps="24"/></proof>
  </goal>
  <goal name="add&#39;vc.7" expl="postcondition" proved="true">
  <proof prover="0"><result status="valid" time="0.010000" steps="50"/></proof>
  </goal>
 </transf>
 </goal>
 <goal name="get&#39;vc" expl="VC for get" proved="true">
 <proof prover="0"><result status="valid" time="0.010000" steps="17"/></proof>
 </goal>
 <goal name="remove&#39;vc" expl="VC for remove" proved="true">
 <transf name="split_goal_right" proved="true" >
  <goal name="remove&#39;vc.0" expl="precondition" proved="true">
  <proof prover="0"><result status="valid" time="0.010000" steps="12"/></proof>
  </goal>
  <goal name="remove&#39;vc.1" expl="precondition" proved="true">
  <proof prover="0"><result status="valid" time="0.000000" steps="16"/></proof>
  </goal>
  <goal name="remove&#39;vc.2" expl="precondition" proved="true">
  <proof prover="0"><result status="valid" time="0.010000" steps="20"/></proof>
  </goal>
  <goal name="remove&#39;vc.3" expl="assertion" proved="true">
  <transf name="split_vc" proved="true" >
   <goal name="remove&#39;vc.3.0" expl="assertion" proved="true">
   <transf name="unfold" proved="true" arg1="numof">
    <goal name="remove&#39;vc.3.0.0" expl="assertion" proved="true">
    <transf name="apply" proved="true" arg1="numof_change_equiv">
     <goal name="remove&#39;vc.3.0.0.0" expl="apply premises" proved="true">
     <proof prover="2"><result status="valid" time="0.021962" steps="79"/></proof>
     </goal>
    </transf>
    </goal>
   </transf>
   </goal>
   <goal name="remove&#39;vc.3.1" expl="VC for remove" proved="true">
   <transf name="unfold" proved="true" arg1="numof">
    <goal name="remove&#39;vc.3.1.0" expl="VC for remove" proved="true">
    <transf name="apply" proved="true" arg1="numof_change_equiv">
     <goal name="remove&#39;vc.3.1.0.0" expl="apply premises" proved="true">
     <proof prover="2" timelimit="5"><result status="valid" time="0.031324" steps="132"/></proof>
     </goal>
    </transf>
    </goal>
   </transf>
   </goal>
   <goal name="remove&#39;vc.3.2" expl="VC for remove" proved="true">
   <proof prover="2" timelimit="5"><result status="valid" time="1.780658" steps="13976"/></proof>
   </goal>
   <goal name="remove&#39;vc.3.3" expl="VC for remove" proved="true">
   <proof prover="7"><result status="valid" time="0.022399" steps="38143"/></proof>
   </goal>
   <goal name="remove&#39;vc.3.4" expl="VC for remove" proved="true">
   <proof prover="7"><result status="valid" time="0.085451" steps="204648"/></proof>
   </goal>
  </transf>
  </goal>
  <goal name="remove&#39;vc.4" expl="precondition" proved="true">
  <proof prover="0"><result status="valid" time="0.010000" steps="10"/></proof>
  </goal>
  <goal name="remove&#39;vc.5" expl="type invariant" proved="true">
  <proof prover="0"><result status="valid" time="0.010000" steps="20"/></proof>
  </goal>
  <goal name="remove&#39;vc.6" expl="type invariant" proved="true">
  <transf name="split_vc" proved="true" >
   <goal name="remove&#39;vc.6.0" expl="type invariant" proved="true">
   <proof prover="7"><result status="valid" time="0.237762" steps="564113"/></proof>
   </goal>
  </transf>
  </goal>
  <goal name="remove&#39;vc.7" expl="postcondition" proved="true">
  <proof prover="0"><result status="valid" time="0.010000" steps="26"/></proof>
  </goal>
  <goal name="remove&#39;vc.8" expl="postcondition" proved="true">
  <proof prover="0"><result status="valid" time="0.010000" steps="53"/></proof>
  </goal>
  <goal name="remove&#39;vc.9" expl="assertion" proved="true">
  <proof prover="0"><result status="valid" time="0.124449" steps="213"/></proof>
  </goal>
  <goal name="remove&#39;vc.10" expl="precondition" proved="true">
  <proof prover="0"><result status="valid" time="0.010000" steps="10"/></proof>
  </goal>
  <goal name="remove&#39;vc.11" expl="type invariant" proved="true">
  <proof prover="0"><result status="valid" time="0.000000" steps="18"/></proof>
  </goal>
  <goal name="remove&#39;vc.12" expl="type invariant" proved="true">
  <proof prover="7" timelimit="5"><result status="valid" time="0.436619" steps="822031"/></proof>
  </goal>
  <goal name="remove&#39;vc.13" expl="postcondition" proved="true">
  <proof prover="0"><result status="valid" time="0.010000" steps="24"/></proof>
  </goal>
  <goal name="remove&#39;vc.14" expl="postcondition" proved="true">
  <proof prover="0"><result status="valid" time="0.020000" steps="46"/></proof>
  </goal>
 </transf>
 </goal>
 <goal name="BagSpec.t&#39;refn&#39;vc" expl="VC for t" proved="true">
 <proof prover="0"><result status="valid" time="0.000000" steps="2"/></proof>
 </goal>
 <goal name="BagSpec.create&#39;refn&#39;vc" expl="VC for create&#39;refn" proved="true">
 <proof prover="0"><result status="valid" time="0.010000" steps="28"/></proof>
 </goal>
 <goal name="BagSpec.length&#39;refn&#39;vc" expl="VC for length&#39;refn" proved="true">
 <proof prover="7"><result status="valid" time="0.052838" steps="1362"/></proof>
 </goal>
 <goal name="BagSpec.clear&#39;refn&#39;vc" expl="VC for clear&#39;refn" proved="true">
 <proof prover="0"><result status="valid" time="0.010000" steps="0"/></proof>
 </goal>
 <goal name="BagSpec.add&#39;refn&#39;vc" expl="VC for add&#39;refn" proved="true">
 <proof prover="0"><result status="valid" time="0.010000" steps="0"/></proof>
 </goal>
 <goal name="BagSpec.get&#39;refn&#39;vc" expl="VC for get&#39;refn" proved="true">
 <transf name="split_vc" proved="true" >
  <goal name="get&#39;refn&#39;vc.0" expl="precondition" proved="true">
  <proof prover="7"><result status="valid" time="0.025701" steps="2354"/></proof>
  </goal>
  <goal name="get&#39;refn&#39;vc.1" expl="postcondition" proved="true">
  <transf name="assert" proved="true" arg1="((numof t.data result 0 t.size) &gt; 0)">
   <goal name="get&#39;refn&#39;vc.1.0" expl="asserted formula" proved="true">
   <transf name="assert" proved="true" arg1="((numof t.data result 0 t.size) = numof t.data result 0 i + numof t.data result i t.size)">
    <goal name="get&#39;refn&#39;vc.1.0.0" expl="asserted formula" proved="true">
    <proof prover="7"><result status="valid" time="0.033422" steps="29999"/></proof>
    </goal>
    <goal name="get&#39;refn&#39;vc.1.0.1" expl="asserted formula" proved="true">
    <proof prover="7"><result status="valid" time="0.045287" steps="45748"/></proof>
    </goal>
   </transf>
   </goal>
   <goal name="get&#39;refn&#39;vc.1.1" expl="postcondition" proved="true">
   <proof prover="7"><result status="valid" time="0.031076" steps="24257"/></proof>
   </goal>
  </transf>
  </goal>
 </transf>
 </goal>
 <goal name="BagSpec.remove&#39;refn&#39;vc" expl="VC for remove&#39;refn" proved="true">
 <proof prover="7"><result status="valid" time="0.153780" steps="349475"/></proof>
 </goal>
</theory>
<theory name="Harness" proved="true">
 <goal name="test1&#39;vc" expl="VC for test1" proved="true">
 <transf name="split_goal_right" proved="true" >
  <goal name="test1&#39;vc.0" expl="assertion" proved="true">
  <proof prover="7"><result status="valid" time="0.040604" steps="40708"/></proof>
  </goal>
  <goal name="test1&#39;vc.1" expl="assertion" proved="true">
  <proof prover="7"><result status="valid" time="0.041386" steps="39413"/></proof>
  </goal>
 </transf>
 </goal>
</theory>
</file>
</why3session>