<?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">
<prover id="0" name="Alt-Ergo" version="2.3.0" timelimit="1" steplimit="0" memlimit="1000"/>
<prover id="2" name="Alt-Ergo" version="2.1.0" timelimit="1" steplimit="0" memlimit="1000"/>
<file format="whyml" proved="true">
<path name=".."/><path name="register_allocation.mlw"/>
<theory name="Spec" proved="true">
 <goal name="exec_append&#39;vc" expl="VC for exec_append" proved="true">
 <proof prover="2"><result status="valid" time="0.010000" steps="77"/></proof>
 </goal>
</theory>
<theory name="DWP" proved="true">
 <goal name="prefix $&#39;vc" expl="VC for prefix $" proved="true">
 <proof prover="2"><result status="valid" time="0.010000" steps="17"/></proof>
 </goal>
 <goal name="wrap&#39;vc" expl="VC for wrap" proved="true">
 <proof prover="2"><result status="valid" time="0.010000" steps="12"/></proof>
 </goal>
 <goal name="infix --&#39;vc" expl="VC for infix --" proved="true">
 <proof prover="2"><result status="valid" time="0.010000" steps="34"/></proof>
 </goal>
 <goal name="cons&#39;vc" expl="VC for cons" proved="true">
 <proof prover="2"><result status="valid" time="0.110000" steps="150"/></proof>
 </goal>
 <goal name="nil&#39;vc" expl="VC for nil" proved="true">
 <proof prover="2"><result status="valid" time="0.010000" steps="24"/></proof>
 </goal>
</theory>
<theory name="InfinityOfRegisters" proved="true">
 <goal name="compile&#39;vc" expl="VC for compile" proved="true">
 <transf name="split_goal_right" proved="true" >
  <goal name="compile&#39;vc.0" expl="precondition" proved="true">
  <proof prover="2"><result status="valid" time="0.010000" steps="6"/></proof>
  </goal>
  <goal name="compile&#39;vc.1" expl="precondition" proved="true">
  <proof prover="2"><result status="valid" time="0.010000" steps="6"/></proof>
  </goal>
  <goal name="compile&#39;vc.2" expl="variant decrease" proved="true">
  <proof prover="2"><result status="valid" time="0.010000" steps="74"/></proof>
  </goal>
  <goal name="compile&#39;vc.3" expl="precondition" proved="true">
  <proof prover="2"><result status="valid" time="0.010000" steps="14"/></proof>
  </goal>
  <goal name="compile&#39;vc.4" expl="precondition" proved="true">
  <proof prover="2"><result status="valid" time="0.010000" steps="18"/></proof>
  </goal>
  <goal name="compile&#39;vc.5" expl="precondition" proved="true">
  <proof prover="2"><result status="valid" time="0.010000" steps="6"/></proof>
  </goal>
  <goal name="compile&#39;vc.6" expl="variant decrease" proved="true">
  <proof prover="2"><result status="valid" time="0.020000" steps="83"/></proof>
  </goal>
  <goal name="compile&#39;vc.7" expl="precondition" proved="true">
  <proof prover="2"><result status="valid" time="0.020000" steps="14"/></proof>
  </goal>
  <goal name="compile&#39;vc.8" expl="variant decrease" proved="true">
  <proof prover="2"><result status="valid" time="0.020000" steps="99"/></proof>
  </goal>
  <goal name="compile&#39;vc.9" expl="precondition" proved="true">
  <proof prover="2"><result status="valid" time="0.010000" steps="22"/></proof>
  </goal>
  <goal name="compile&#39;vc.10" expl="precondition" proved="true">
  <proof prover="2"><result status="valid" time="0.020000" steps="26"/></proof>
  </goal>
  <goal name="compile&#39;vc.11" expl="precondition" proved="true">
  <proof prover="2"><result status="valid" time="0.010000" steps="30"/></proof>
  </goal>
  <goal name="compile&#39;vc.12" expl="precondition" proved="true">
  <proof prover="2"><result status="valid" time="0.000000" steps="71"/></proof>
  </goal>
  <goal name="compile&#39;vc.13" expl="precondition" proved="true">
  <transf name="split_goal_right" proved="true" >
   <goal name="compile&#39;vc.13.0" expl="precondition" proved="true">
   <transf name="compute_specified" proved="true" >
    <goal name="compile&#39;vc.13.0.0" expl="precondition" proved="true">
    <transf name="simplify_trivial_quantification_in_goal" proved="true" >
     <goal name="compile&#39;vc.13.0.0.0" expl="precondition" proved="true">
     <transf name="introduce_premises" proved="true" >
      <goal name="compile&#39;vc.13.0.0.0.0" expl="precondition" proved="true">
      <transf name="compute_specified" proved="true" >
       <goal name="compile&#39;vc.13.0.0.0.0.0" expl="precondition" proved="true">
       <proof prover="2"><result status="valid" time="0.010000" steps="33"/></proof>
       </goal>
      </transf>
      </goal>
     </transf>
     </goal>
    </transf>
    </goal>
   </transf>
   </goal>
   <goal name="compile&#39;vc.13.1" expl="precondition" proved="true">
   <transf name="compute_specified" proved="true" >
    <goal name="compile&#39;vc.13.1.0" expl="precondition" proved="true">
    <transf name="simplify_trivial_quantification_in_goal" proved="true" >
     <goal name="compile&#39;vc.13.1.0.0" expl="precondition" proved="true">
     <transf name="introduce_premises" proved="true" >
      <goal name="compile&#39;vc.13.1.0.0.0" expl="precondition" proved="true">
      <transf name="compute_specified" proved="true" >
       <goal name="compile&#39;vc.13.1.0.0.0.0" expl="precondition" proved="true">
       <proof prover="2"><result status="valid" time="0.020000" steps="59"/></proof>
       </goal>
      </transf>
      </goal>
     </transf>
     </goal>
    </transf>
    </goal>
   </transf>
   </goal>
   <goal name="compile&#39;vc.13.2" expl="precondition" proved="true">
   <transf name="compute_specified" proved="true" >
    <goal name="compile&#39;vc.13.2.0" expl="precondition" proved="true">
    <transf name="simplify_trivial_quantification_in_goal" proved="true" >
     <goal name="compile&#39;vc.13.2.0.0" expl="precondition" proved="true">
     <transf name="introduce_premises" proved="true" >
      <goal name="compile&#39;vc.13.2.0.0.0" expl="precondition" proved="true">
      <transf name="compute_specified" proved="true" >
       <goal name="compile&#39;vc.13.2.0.0.0.0" expl="precondition" proved="true">
       <proof prover="2"><result status="valid" time="0.010000" steps="95"/></proof>
       </goal>
      </transf>
      </goal>
     </transf>
     </goal>
    </transf>
    </goal>
   </transf>
   </goal>
  </transf>
  </goal>
  <goal name="compile&#39;vc.14" expl="postcondition" proved="true">
  <proof prover="2"><result status="valid" time="0.020000" steps="4"/></proof>
  </goal>
  <goal name="compile&#39;vc.15" expl="postcondition" proved="true">
  <proof prover="2"><result status="valid" time="0.010000" steps="4"/></proof>
  </goal>
 </transf>
 </goal>
 <goal name="recover&#39;vc" expl="VC for recover" proved="true">
 <proof prover="2"><result status="valid" time="0.020000" steps="38"/></proof>
 </goal>
</theory>
<theory name="FiniteNumberOfRegisters" proved="true">
 <goal name="k&#39;vc" expl="VC for k" proved="true">
 <proof prover="0"><result status="valid" time="0.010000" steps="0"/></proof>
 </goal>
 <goal name="compile&#39;vc" expl="VC for compile" proved="true">
 <transf name="split_goal_right" proved="true" >
  <goal name="compile&#39;vc.0" expl="precondition" proved="true">
  <proof prover="2"><result status="valid" time="0.010000" steps="12"/></proof>
  </goal>
  <goal name="compile&#39;vc.1" expl="precondition" proved="true">
  <proof prover="2"><result status="valid" time="0.010000" steps="12"/></proof>
  </goal>
  <goal name="compile&#39;vc.2" expl="variant decrease" proved="true">
  <proof prover="2"><result status="valid" time="0.030000" steps="80"/></proof>
  </goal>
  <goal name="compile&#39;vc.3" expl="precondition" proved="true">
  <proof prover="2"><result status="valid" time="0.010000" steps="16"/></proof>
  </goal>
  <goal name="compile&#39;vc.4" expl="precondition" proved="true">
  <proof prover="2"><result status="valid" time="0.010000" steps="20"/></proof>
  </goal>
  <goal name="compile&#39;vc.5" expl="precondition" proved="true">
  <proof prover="2"><result status="valid" time="0.020000" steps="24"/></proof>
  </goal>
  <goal name="compile&#39;vc.6" expl="precondition" proved="true">
  <proof prover="2"><result status="valid" time="0.010000" steps="14"/></proof>
  </goal>
  <goal name="compile&#39;vc.7" expl="variant decrease" proved="true">
  <proof prover="2"><result status="valid" time="0.020000" steps="91"/></proof>
  </goal>
  <goal name="compile&#39;vc.8" expl="precondition" proved="true">
  <proof prover="2"><result status="valid" time="0.010000" steps="18"/></proof>
  </goal>
  <goal name="compile&#39;vc.9" expl="precondition" proved="true">
  <proof prover="2"><result status="valid" time="0.010000" steps="22"/></proof>
  </goal>
  <goal name="compile&#39;vc.10" expl="variant decrease" proved="true">
  <proof prover="2"><result status="valid" time="0.020000" steps="107"/></proof>
  </goal>
  <goal name="compile&#39;vc.11" expl="precondition" proved="true">
  <proof prover="2"><result status="valid" time="0.010000" steps="26"/></proof>
  </goal>
  <goal name="compile&#39;vc.12" expl="precondition" proved="true">
  <proof prover="2"><result status="valid" time="0.010000" steps="30"/></proof>
  </goal>
  <goal name="compile&#39;vc.13" expl="precondition" proved="true">
  <proof prover="2"><result status="valid" time="0.010000" steps="34"/></proof>
  </goal>
  <goal name="compile&#39;vc.14" expl="precondition" proved="true">
  <proof prover="2"><result status="valid" time="0.020000" steps="38"/></proof>
  </goal>
  <goal name="compile&#39;vc.15" expl="precondition" proved="true">
  <proof prover="2"><result status="valid" time="0.010000" steps="14"/></proof>
  </goal>
  <goal name="compile&#39;vc.16" expl="precondition" proved="true">
  <proof prover="2"><result status="valid" time="0.010000" steps="18"/></proof>
  </goal>
  <goal name="compile&#39;vc.17" expl="variant decrease" proved="true">
  <proof prover="2"><result status="valid" time="0.030000" steps="144"/></proof>
  </goal>
  <goal name="compile&#39;vc.18" expl="precondition" proved="true">
  <proof prover="2"><result status="valid" time="0.010000" steps="22"/></proof>
  </goal>
  <goal name="compile&#39;vc.19" expl="precondition" proved="true">
  <proof prover="2"><result status="valid" time="0.010000" steps="26"/></proof>
  </goal>
  <goal name="compile&#39;vc.20" expl="variant decrease" proved="true">
  <proof prover="2"><result status="valid" time="0.020000" steps="160"/></proof>
  </goal>
  <goal name="compile&#39;vc.21" expl="precondition" proved="true">
  <proof prover="2"><result status="valid" time="0.020000" steps="30"/></proof>
  </goal>
  <goal name="compile&#39;vc.22" expl="precondition" proved="true">
  <proof prover="2"><result status="valid" time="0.010000" steps="34"/></proof>
  </goal>
  <goal name="compile&#39;vc.23" expl="precondition" proved="true">
  <proof prover="2"><result status="valid" time="0.020000" steps="38"/></proof>
  </goal>
  <goal name="compile&#39;vc.24" expl="precondition" proved="true">
  <proof prover="2"><result status="valid" time="0.020000" steps="42"/></proof>
  </goal>
  <goal name="compile&#39;vc.25" expl="precondition" proved="true">
  <proof prover="2"><result status="valid" time="0.030000" steps="46"/></proof>
  </goal>
  <goal name="compile&#39;vc.26" expl="precondition" proved="true">
  <proof prover="2"><result status="valid" time="0.010000" steps="120"/></proof>
  </goal>
  <goal name="compile&#39;vc.27" expl="precondition" proved="true">
  <transf name="split_goal_right" proved="true" >
   <goal name="compile&#39;vc.27.0" expl="precondition" proved="true">
   <transf name="compute_specified" proved="true" >
    <goal name="compile&#39;vc.27.0.0" expl="precondition" proved="true">
    <transf name="simplify_trivial_quantification_in_goal" proved="true" >
     <goal name="compile&#39;vc.27.0.0.0" expl="precondition" proved="true">
     <transf name="introduce_premises" proved="true" >
      <goal name="compile&#39;vc.27.0.0.0.0" expl="precondition" proved="true">
      <transf name="compute_specified" proved="true" >
       <goal name="compile&#39;vc.27.0.0.0.0.0" expl="precondition" proved="true">
       <proof prover="2"><result status="valid" time="0.010000" steps="39"/></proof>
       </goal>
      </transf>
      </goal>
     </transf>
     </goal>
    </transf>
    </goal>
   </transf>
   </goal>
   <goal name="compile&#39;vc.27.1" expl="precondition" proved="true">
   <transf name="compute_specified" proved="true" >
    <goal name="compile&#39;vc.27.1.0" expl="precondition" proved="true">
    <transf name="simplify_trivial_quantification_in_goal" proved="true" >
     <goal name="compile&#39;vc.27.1.0.0" expl="precondition" proved="true">
     <transf name="introduce_premises" proved="true" >
      <goal name="compile&#39;vc.27.1.0.0.0" expl="precondition" proved="true">
      <transf name="compute_specified" proved="true" >
       <goal name="compile&#39;vc.27.1.0.0.0.0" expl="precondition" proved="true">
       <proof prover="2"><result status="valid" time="0.020000" steps="65"/></proof>
       </goal>
      </transf>
      </goal>
     </transf>
     </goal>
    </transf>
    </goal>
   </transf>
   </goal>
   <goal name="compile&#39;vc.27.2" expl="precondition" proved="true">
   <transf name="compute_specified" proved="true" >
    <goal name="compile&#39;vc.27.2.0" expl="precondition" proved="true">
    <transf name="simplify_trivial_quantification_in_goal" proved="true" >
     <goal name="compile&#39;vc.27.2.0.0" expl="precondition" proved="true">
     <transf name="introduce_premises" proved="true" >
      <goal name="compile&#39;vc.27.2.0.0.0" expl="precondition" proved="true">
      <transf name="compute_specified" proved="true" >
       <goal name="compile&#39;vc.27.2.0.0.0.0" expl="precondition" proved="true">
       <proof prover="2"><result status="valid" time="0.050000" steps="103"/></proof>
       </goal>
      </transf>
      </goal>
     </transf>
     </goal>
    </transf>
    </goal>
   </transf>
   </goal>
   <goal name="compile&#39;vc.27.3" expl="precondition" proved="true">
   <transf name="compute_specified" proved="true" >
    <goal name="compile&#39;vc.27.3.0" expl="precondition" proved="true">
    <transf name="simplify_trivial_quantification_in_goal" proved="true" >
     <goal name="compile&#39;vc.27.3.0.0" expl="precondition" proved="true">
     <transf name="introduce_premises" proved="true" >
      <goal name="compile&#39;vc.27.3.0.0.0" expl="precondition" proved="true">
      <transf name="compute_specified" proved="true" >
       <goal name="compile&#39;vc.27.3.0.0.0.0" expl="precondition" proved="true">
       <proof prover="2"><result status="valid" time="0.010000" steps="202"/></proof>
       </goal>
      </transf>
      </goal>
     </transf>
     </goal>
    </transf>
    </goal>
   </transf>
   </goal>
  </transf>
  </goal>
  <goal name="compile&#39;vc.28" expl="postcondition" proved="true">
  <proof prover="2"><result status="valid" time="0.030000" steps="10"/></proof>
  </goal>
  <goal name="compile&#39;vc.29" expl="postcondition" proved="true">
  <proof prover="2"><result status="valid" time="0.030000" steps="10"/></proof>
  </goal>
 </transf>
 </goal>
</theory>
<theory name="OptimalNumberOfRegisters" proved="true">
 <goal name="k&#39;vc" expl="VC for k" proved="true">
 <proof prover="0"><result status="valid" time="0.000000" steps="0"/></proof>
 </goal>
 <goal name="n&#39;vc" expl="VC for n" proved="true">
 <proof prover="2"><result status="valid" time="0.030000" steps="99"/></proof>
 </goal>
 <goal name="measure_nonneg" proved="true">
 <transf name="induction_ty_lex" proved="true" >
  <goal name="measure_nonneg.0" proved="true">
  <proof prover="2"><result status="valid" time="0.020000" steps="37"/></proof>
  </goal>
 </transf>
 </goal>
 <goal name="compile&#39;vc" expl="VC for compile" proved="true">
 <transf name="split_goal_right" proved="true" >
  <goal name="compile&#39;vc.0" expl="precondition" proved="true">
  <proof prover="2"><result status="valid" time="0.010000" steps="12"/></proof>
  </goal>
  <goal name="compile&#39;vc.1" expl="precondition" proved="true">
  <proof prover="2"><result status="valid" time="0.010000" steps="12"/></proof>
  </goal>
  <goal name="compile&#39;vc.2" expl="variant decrease" proved="true">
  <proof prover="2"><result status="valid" time="0.030000" steps="19"/></proof>
  </goal>
  <goal name="compile&#39;vc.3" expl="precondition" proved="true">
  <proof prover="2"><result status="valid" time="0.010000" steps="16"/></proof>
  </goal>
  <goal name="compile&#39;vc.4" expl="precondition" proved="true">
  <proof prover="2"><result status="valid" time="0.010000" steps="20"/></proof>
  </goal>
  <goal name="compile&#39;vc.5" expl="precondition" proved="true">
  <proof prover="2"><result status="valid" time="0.020000" steps="24"/></proof>
  </goal>
  <goal name="compile&#39;vc.6" expl="precondition" proved="true">
  <proof prover="2"><result status="valid" time="0.020000" steps="16"/></proof>
  </goal>
  <goal name="compile&#39;vc.7" expl="variant decrease" proved="true">
  <proof prover="2"><result status="valid" time="0.030000" steps="75"/></proof>
  </goal>
  <goal name="compile&#39;vc.8" expl="precondition" proved="true">
  <proof prover="2"><result status="valid" time="0.010000" steps="20"/></proof>
  </goal>
  <goal name="compile&#39;vc.9" expl="precondition" proved="true">
  <proof prover="2"><result status="valid" time="0.010000" steps="24"/></proof>
  </goal>
  <goal name="compile&#39;vc.10" expl="variant decrease" proved="true">
  <proof prover="2"><result status="valid" time="0.030000" steps="89"/></proof>
  </goal>
  <goal name="compile&#39;vc.11" expl="precondition" proved="true">
  <proof prover="2"><result status="valid" time="0.020000" steps="28"/></proof>
  </goal>
  <goal name="compile&#39;vc.12" expl="precondition" proved="true">
  <proof prover="2"><result status="valid" time="0.020000" steps="32"/></proof>
  </goal>
  <goal name="compile&#39;vc.13" expl="precondition" proved="true">
  <proof prover="2"><result status="valid" time="0.010000" steps="36"/></proof>
  </goal>
  <goal name="compile&#39;vc.14" expl="precondition" proved="true">
  <proof prover="2"><result status="valid" time="0.020000" steps="40"/></proof>
  </goal>
  <goal name="compile&#39;vc.15" expl="precondition" proved="true">
  <proof prover="2"><result status="valid" time="0.010000" steps="16"/></proof>
  </goal>
  <goal name="compile&#39;vc.16" expl="precondition" proved="true">
  <proof prover="2"><result status="valid" time="0.010000" steps="20"/></proof>
  </goal>
  <goal name="compile&#39;vc.17" expl="variant decrease" proved="true">
  <proof prover="2"><result status="valid" time="0.020000" steps="97"/></proof>
  </goal>
  <goal name="compile&#39;vc.18" expl="precondition" proved="true">
  <proof prover="2"><result status="valid" time="0.010000" steps="24"/></proof>
  </goal>
  <goal name="compile&#39;vc.19" expl="precondition" proved="true">
  <proof prover="2"><result status="valid" time="0.010000" steps="28"/></proof>
  </goal>
  <goal name="compile&#39;vc.20" expl="variant decrease" proved="true">
  <proof prover="2"><result status="valid" time="0.020000" steps="111"/></proof>
  </goal>
  <goal name="compile&#39;vc.21" expl="precondition" proved="true">
  <proof prover="2"><result status="valid" time="0.010000" steps="32"/></proof>
  </goal>
  <goal name="compile&#39;vc.22" expl="precondition" proved="true">
  <proof prover="2"><result status="valid" time="0.010000" steps="36"/></proof>
  </goal>
  <goal name="compile&#39;vc.23" expl="precondition" proved="true">
  <proof prover="2"><result status="valid" time="0.010000" steps="40"/></proof>
  </goal>
  <goal name="compile&#39;vc.24" expl="precondition" proved="true">
  <proof prover="2"><result status="valid" time="0.010000" steps="44"/></proof>
  </goal>
  <goal name="compile&#39;vc.25" expl="precondition" proved="true">
  <proof prover="2"><result status="valid" time="0.020000" steps="48"/></proof>
  </goal>
  <goal name="compile&#39;vc.26" expl="variant decrease" proved="true">
  <proof prover="2"><result status="valid" time="0.020000" steps="13"/></proof>
  </goal>
  <goal name="compile&#39;vc.27" expl="precondition" proved="true">
  <proof prover="2"><result status="valid" time="0.010000" steps="10"/></proof>
  </goal>
  <goal name="compile&#39;vc.28" expl="precondition" proved="true">
  <proof prover="2"><result status="valid" time="0.010000" steps="14"/></proof>
  </goal>
  <goal name="compile&#39;vc.29" expl="precondition" proved="true">
  <proof prover="2"><result status="valid" time="0.020000" steps="145"/></proof>
  </goal>
  <goal name="compile&#39;vc.30" expl="precondition" proved="true">
  <transf name="split_goal_right" proved="true" >
   <goal name="compile&#39;vc.30.0" expl="precondition" proved="true">
   <transf name="compute_specified" proved="true" >
    <goal name="compile&#39;vc.30.0.0" expl="precondition" proved="true">
    <transf name="simplify_trivial_quantification_in_goal" proved="true" >
     <goal name="compile&#39;vc.30.0.0.0" expl="precondition" proved="true">
     <transf name="introduce_premises" proved="true" >
      <goal name="compile&#39;vc.30.0.0.0.0" expl="precondition" proved="true">
      <transf name="compute_specified" proved="true" >
       <goal name="compile&#39;vc.30.0.0.0.0.0" expl="precondition" proved="true">
       <proof prover="2"><result status="valid" time="0.010000" steps="45"/></proof>
       </goal>
      </transf>
      </goal>
     </transf>
     </goal>
    </transf>
    </goal>
   </transf>
   </goal>
   <goal name="compile&#39;vc.30.1" expl="precondition" proved="true">
   <transf name="compute_specified" proved="true" >
    <goal name="compile&#39;vc.30.1.0" expl="precondition" proved="true">
    <transf name="simplify_trivial_quantification_in_goal" proved="true" >
     <goal name="compile&#39;vc.30.1.0.0" expl="precondition" proved="true">
     <transf name="introduce_premises" proved="true" >
      <goal name="compile&#39;vc.30.1.0.0.0" expl="precondition" proved="true">
      <transf name="compute_specified" proved="true" >
       <goal name="compile&#39;vc.30.1.0.0.0.0" expl="precondition" proved="true">
       <proof prover="2"><result status="valid" time="0.060000" steps="65"/></proof>
       </goal>
      </transf>
      </goal>
     </transf>
     </goal>
    </transf>
    </goal>
   </transf>
   </goal>
   <goal name="compile&#39;vc.30.2" expl="precondition" proved="true">
   <transf name="compute_specified" proved="true" >
    <goal name="compile&#39;vc.30.2.0" expl="precondition" proved="true">
    <transf name="simplify_trivial_quantification_in_goal" proved="true" >
     <goal name="compile&#39;vc.30.2.0.0" expl="precondition" proved="true">
     <transf name="introduce_premises" proved="true" >
      <goal name="compile&#39;vc.30.2.0.0.0" expl="precondition" proved="true">
      <transf name="compute_specified" proved="true" >
       <goal name="compile&#39;vc.30.2.0.0.0.0" expl="precondition" proved="true">
       <proof prover="2"><result status="valid" time="0.010000" steps="156"/></proof>
       </goal>
      </transf>
      </goal>
     </transf>
     </goal>
    </transf>
    </goal>
   </transf>
   </goal>
   <goal name="compile&#39;vc.30.3" expl="precondition" proved="true">
   <transf name="compute_specified" proved="true" >
    <goal name="compile&#39;vc.30.3.0" expl="precondition" proved="true">
    <transf name="simplify_trivial_quantification_in_goal" proved="true" >
     <goal name="compile&#39;vc.30.3.0.0" expl="precondition" proved="true">
     <transf name="introduce_premises" proved="true" >
      <goal name="compile&#39;vc.30.3.0.0.0" expl="precondition" proved="true">
      <transf name="compute_specified" proved="true" >
       <goal name="compile&#39;vc.30.3.0.0.0.0" expl="precondition" proved="true">
       <proof prover="2"><result status="valid" time="0.030000" steps="235"/></proof>
       </goal>
      </transf>
      </goal>
     </transf>
     </goal>
    </transf>
    </goal>
   </transf>
   </goal>
   <goal name="compile&#39;vc.30.4" expl="precondition" proved="true">
   <transf name="compute_specified" proved="true" >
    <goal name="compile&#39;vc.30.4.0" expl="precondition" proved="true">
    <transf name="simplify_trivial_quantification_in_goal" proved="true" >
     <goal name="compile&#39;vc.30.4.0.0" expl="precondition" proved="true">
     <transf name="introduce_premises" proved="true" >
      <goal name="compile&#39;vc.30.4.0.0.0" expl="precondition" proved="true">
      <transf name="compute_specified" proved="true" >
       <goal name="compile&#39;vc.30.4.0.0.0.0" expl="precondition" proved="true">
       <proof prover="2"><result status="valid" time="0.020000" steps="72"/></proof>
       </goal>
      </transf>
      </goal>
     </transf>
     </goal>
    </transf>
    </goal>
   </transf>
   </goal>
  </transf>
  </goal>
  <goal name="compile&#39;vc.31" expl="postcondition" proved="true">
  <proof prover="2"><result status="valid" time="0.020000" steps="10"/></proof>
  </goal>
  <goal name="compile&#39;vc.32" expl="postcondition" proved="true">
  <proof prover="2"><result status="valid" time="0.020000" steps="10"/></proof>
  </goal>
 </transf>
 </goal>
</theory>
</file>
</why3session>
