<?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="Z3" version="4.12.2" 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="2.3.3" timelimit="5" steplimit="0" memlimit="1000"/>
<prover id="3" name="CVC4" version="1.8" timelimit="5" steplimit="0" memlimit="1000"/>
<prover id="4" name="Alt-Ergo" version="2.4.2" timelimit="5" steplimit="0" memlimit="2000"/>
<prover id="5" name="Alt-Ergo" version="2.4.1" timelimit="1" steplimit="0" memlimit="1000"/>
<prover id="7" name="CVC5" version="1.0.5" timelimit="5" steplimit="0" memlimit="1000"/>
<prover id="8" name="CVC4" version="1.7" timelimit="5" steplimit="0" memlimit="1000"/>
<file format="whyml" proved="true">
<path name=".."/><path name="verifythis_2021_dll_to_bst.mlw"/>
<theory name="Top" proved="true">
 <goal name="I.eq&#39;refn&#39;vc" expl="VC for eq&#39;refn" proved="true">
 <proof prover="3"><result status="valid" time="0.050000" steps="14757"/></proof>
 </goal>
 <goal name="mixfix []&lt;-&#39;vc" expl="VC for mixfix []&lt;-" proved="true">
 <proof prover="3"><result status="valid" time="0.060000" steps="14757"/></proof>
 </goal>
 <goal name="tree_frame&#39;vc" expl="VC for tree_frame" proved="true">
 <transf name="split_vc" proved="true" >
  <goal name="tree_frame&#39;vc.0" expl="variant decrease" proved="true">
  <proof prover="3"><result status="valid" time="0.100000" steps="24492"/></proof>
  </goal>
  <goal name="tree_frame&#39;vc.1" expl="precondition" proved="true">
  <proof prover="3"><result status="valid" time="0.120000" steps="24107"/></proof>
  </goal>
  <goal name="tree_frame&#39;vc.2" expl="precondition" proved="true">
  <proof prover="3"><result status="valid" time="0.060000" steps="22575"/></proof>
  </goal>
  <goal name="tree_frame&#39;vc.3" expl="precondition" proved="true">
  <proof prover="3"><result status="valid" time="0.190000" steps="24516"/></proof>
  </goal>
  <goal name="tree_frame&#39;vc.4" expl="variant decrease" proved="true">
  <proof prover="3"><result status="valid" time="0.100000" steps="24750"/></proof>
  </goal>
  <goal name="tree_frame&#39;vc.5" expl="precondition" proved="true">
  <proof prover="3"><result status="valid" time="0.110000" steps="24215"/></proof>
  </goal>
  <goal name="tree_frame&#39;vc.6" expl="precondition" proved="true">
  <proof prover="3"><result status="valid" time="0.060000" steps="22634"/></proof>
  </goal>
  <goal name="tree_frame&#39;vc.7" expl="precondition" proved="true">
  <proof prover="3"><result status="valid" time="0.170000" steps="24491"/></proof>
  </goal>
  <goal name="tree_frame&#39;vc.8" expl="postcondition" proved="true">
  <transf name="unfold" proved="true" arg1="tree">
   <goal name="tree_frame&#39;vc.8.0" expl="VC for tree_frame" proved="true">
   <transf name="split_vc" proved="true" >
    <goal name="tree_frame&#39;vc.8.0.0" expl="VC for tree_frame" proved="true">
    <proof prover="3"><result status="valid" time="0.060000" steps="22741"/></proof>
    </goal>
    <goal name="tree_frame&#39;vc.8.0.1" expl="VC for tree_frame" proved="true">
    <proof prover="2"><result status="valid" time="0.020000" steps="6"/></proof>
    </goal>
    <goal name="tree_frame&#39;vc.8.0.2" expl="VC for tree_frame" proved="true">
    <proof prover="2"><result status="valid" time="0.020000" steps="6"/></proof>
    </goal>
    <goal name="tree_frame&#39;vc.8.0.3" expl="VC for tree_frame" proved="true">
    <proof prover="2"><result status="valid" time="0.020000" steps="6"/></proof>
    </goal>
    <goal name="tree_frame&#39;vc.8.0.4" expl="VC for tree_frame" proved="true">
    <proof prover="2"><result status="valid" time="0.020000" steps="8"/></proof>
    </goal>
    <goal name="tree_frame&#39;vc.8.0.5" expl="VC for tree_frame" proved="true">
    <proof prover="2"><result status="valid" time="0.020000" steps="8"/></proof>
    </goal>
    <goal name="tree_frame&#39;vc.8.0.6" expl="VC for tree_frame" proved="true">
    <proof prover="3"><result status="valid" time="0.130000" steps="24135"/></proof>
    </goal>
    <goal name="tree_frame&#39;vc.8.0.7" expl="VC for tree_frame" proved="true">
    <proof prover="3"><result status="valid" time="0.110000" steps="24130"/></proof>
    </goal>
    <goal name="tree_frame&#39;vc.8.0.8" expl="VC for tree_frame" proved="true">
    <proof prover="3"><result status="valid" time="0.140000" steps="24166"/></proof>
    </goal>
    <goal name="tree_frame&#39;vc.8.0.9" expl="VC for tree_frame" proved="true">
    <proof prover="3"><result status="valid" time="0.120000" steps="25787"/></proof>
    </goal>
    <goal name="tree_frame&#39;vc.8.0.10" expl="VC for tree_frame" proved="true">
    <proof prover="3"><result status="valid" time="0.130000" steps="25877"/></proof>
    </goal>
   </transf>
   </goal>
  </transf>
  </goal>
 </transf>
 </goal>
 <goal name="dll_to_bst_rec&#39;vc" expl="VC for dll_to_bst_rec" proved="true">
 <transf name="split_vc" proved="true" >
  <goal name="dll_to_bst_rec&#39;vc.0" expl="postcondition" proved="true">
  <proof prover="3"><result status="valid" time="0.070000" steps="26952"/></proof>
  </goal>
  <goal name="dll_to_bst_rec&#39;vc.1" expl="postcondition" proved="true">
  <proof prover="2"><result status="valid" time="0.020000" steps="10"/></proof>
  </goal>
  <goal name="dll_to_bst_rec&#39;vc.2" expl="postcondition" proved="true">
  <proof prover="3"><result status="valid" time="0.110000" steps="28942"/></proof>
  </goal>
  <goal name="dll_to_bst_rec&#39;vc.3" expl="postcondition" proved="true">
  <proof prover="3"><result status="valid" time="0.100000" steps="29073"/></proof>
  </goal>
  <goal name="dll_to_bst_rec&#39;vc.4" expl="postcondition" proved="true">
  <proof prover="3"><result status="valid" time="0.070000" steps="27096"/></proof>
  </goal>
  <goal name="dll_to_bst_rec&#39;vc.5" expl="postcondition" proved="true">
  <proof prover="3"><result status="valid" time="0.060000" steps="27109"/></proof>
  </goal>
  <goal name="dll_to_bst_rec&#39;vc.6" expl="postcondition" proved="true">
  <proof prover="3"><result status="valid" time="0.070000" steps="27098"/></proof>
  </goal>
  <goal name="dll_to_bst_rec&#39;vc.7" expl="postcondition" proved="true">
  <proof prover="3"><result status="valid" time="0.050000" steps="27111"/></proof>
  </goal>
  <goal name="dll_to_bst_rec&#39;vc.8" expl="postcondition" proved="true">
  <proof prover="3"><result status="valid" time="0.080000" steps="27239"/></proof>
  </goal>
  <goal name="dll_to_bst_rec&#39;vc.9" expl="precondition" proved="true">
  <proof prover="3"><result status="valid" time="0.060000" steps="20985"/></proof>
  </goal>
  <goal name="dll_to_bst_rec&#39;vc.10" expl="variant decrease" proved="true">
  <proof prover="3"><result status="valid" time="0.100000" steps="25586"/></proof>
  </goal>
  <goal name="dll_to_bst_rec&#39;vc.11" expl="precondition" proved="true">
  <proof prover="3"><result status="valid" time="0.120000" steps="32116"/></proof>
  </goal>
  <goal name="dll_to_bst_rec&#39;vc.12" expl="precondition" proved="true">
  <proof prover="3"><result status="valid" time="0.180000" steps="52168"/></proof>
  </goal>
  <goal name="dll_to_bst_rec&#39;vc.13" expl="precondition" proved="true">
  <proof prover="3"><result status="valid" time="0.220000" steps="53438"/></proof>
  </goal>
  <goal name="dll_to_bst_rec&#39;vc.14" expl="variant decrease" proved="true">
  <proof prover="3"><result status="valid" time="0.110000" steps="32949"/></proof>
  </goal>
  <goal name="dll_to_bst_rec&#39;vc.15" expl="precondition" proved="true">
  <transf name="unfold" proved="true" arg1="dll">
   <goal name="dll_to_bst_rec&#39;vc.15.0" expl="VC for dll_to_bst_rec" proved="true">
   <transf name="split_vc" proved="true" >
    <goal name="dll_to_bst_rec&#39;vc.15.0.0" expl="VC for dll_to_bst_rec" proved="true">
    <proof prover="1"><result status="valid" time="3.140000" steps="2129"/></proof>
    </goal>
    <goal name="dll_to_bst_rec&#39;vc.15.0.1" expl="VC for dll_to_bst_rec" proved="true">
    <proof prover="3"><result status="valid" time="0.100000" steps="32978"/></proof>
    </goal>
    <goal name="dll_to_bst_rec&#39;vc.15.0.2" expl="VC for dll_to_bst_rec" proved="true">
    <proof prover="3"><result status="valid" time="0.150000" steps="38170"/></proof>
    </goal>
    <goal name="dll_to_bst_rec&#39;vc.15.0.3" expl="VC for dll_to_bst_rec" proved="true">
    <proof prover="3"><result status="valid" time="0.120000" steps="32940"/></proof>
    </goal>
    <goal name="dll_to_bst_rec&#39;vc.15.0.4" expl="VC for dll_to_bst_rec" proved="true">
    <proof prover="2"><result status="valid" time="0.150000" steps="463"/></proof>
    </goal>
    <goal name="dll_to_bst_rec&#39;vc.15.0.5" expl="VC for dll_to_bst_rec" proved="true">
    <proof prover="3"><result status="valid" time="0.160000" steps="39674"/></proof>
    </goal>
    <goal name="dll_to_bst_rec&#39;vc.15.0.6" expl="VC for dll_to_bst_rec" proved="true">
    <proof prover="3"><result status="valid" time="1.010000" steps="153295"/></proof>
    </goal>
    <goal name="dll_to_bst_rec&#39;vc.15.0.7" expl="VC for dll_to_bst_rec" proved="true">
    <proof prover="3"><result status="valid" time="0.140000" steps="33580"/></proof>
    </goal>
    <goal name="dll_to_bst_rec&#39;vc.15.0.8" expl="VC for dll_to_bst_rec" proved="true">
    <proof prover="3"><result status="valid" time="0.690000" steps="130896"/></proof>
    </goal>
   </transf>
   </goal>
  </transf>
  </goal>
  <goal name="dll_to_bst_rec&#39;vc.16" expl="precondition" proved="true">
  <proof prover="3"><result status="valid" time="0.370000" steps="69485"/></proof>
  </goal>
  <goal name="dll_to_bst_rec&#39;vc.17" expl="postcondition" proved="true">
  <proof prover="3"><result status="valid" time="0.080000" steps="30346"/></proof>
  </goal>
  <goal name="dll_to_bst_rec&#39;vc.18" expl="postcondition" proved="true">
  <transf name="unfold" proved="true" arg1="tree">
   <goal name="dll_to_bst_rec&#39;vc.18.0" expl="VC for dll_to_bst_rec" proved="true">
   <transf name="split_vc" proved="true" >
    <goal name="dll_to_bst_rec&#39;vc.18.0.0" expl="VC for dll_to_bst_rec" proved="true">
    <proof prover="1"><result status="valid" time="2.830000" steps="2481"/></proof>
    </goal>
    <goal name="dll_to_bst_rec&#39;vc.18.0.1" expl="VC for dll_to_bst_rec" proved="true">
    <proof prover="3"><result status="valid" time="0.130000" steps="34792"/></proof>
    </goal>
    <goal name="dll_to_bst_rec&#39;vc.18.0.2" expl="VC for dll_to_bst_rec" proved="true">
    <proof prover="3"><result status="valid" time="0.130000" steps="34777"/></proof>
    </goal>
    <goal name="dll_to_bst_rec&#39;vc.18.0.3" expl="VC for dll_to_bst_rec" proved="true">
    <proof prover="3"><result status="valid" time="0.140000" steps="34778"/></proof>
    </goal>
    <goal name="dll_to_bst_rec&#39;vc.18.0.4" expl="VC for dll_to_bst_rec" proved="true">
    <proof prover="3"><result status="valid" time="0.120000" steps="34775"/></proof>
    </goal>
    <goal name="dll_to_bst_rec&#39;vc.18.0.5" expl="VC for dll_to_bst_rec" proved="true">
    <proof prover="3"><result status="valid" time="0.130000" steps="42733"/></proof>
    </goal>
    <goal name="dll_to_bst_rec&#39;vc.18.0.6" expl="VC for dll_to_bst_rec" proved="true">
    <proof prover="3"><result status="valid" time="0.190000" steps="42741"/></proof>
    </goal>
    <goal name="dll_to_bst_rec&#39;vc.18.0.7" expl="VC for dll_to_bst_rec" proved="true">
    <transf name="apply" proved="true" arg1="tree_frame" arg2="with" arg3="prev2.to_fmap,next2.to_fmap">
     <goal name="dll_to_bst_rec&#39;vc.18.0.7.0" expl="apply premises" proved="true">
     <proof prover="2"><result status="valid" time="0.170000" steps="594"/></proof>
     <proof prover="3"><result status="valid" time="0.150000" steps="42782"/></proof>
     </goal>
     <goal name="dll_to_bst_rec&#39;vc.18.0.7.1" expl="apply premises" proved="true">
     <proof prover="1"><result status="valid" time="2.740000" steps="2481"/></proof>
     </goal>
     <goal name="dll_to_bst_rec&#39;vc.18.0.7.2" expl="apply premises" proved="true">
     <proof prover="8"><result status="valid" time="3.350000" steps="291320"/></proof>
     </goal>
    </transf>
    </goal>
    <goal name="dll_to_bst_rec&#39;vc.18.0.8" expl="VC for dll_to_bst_rec" proved="true">
    <transf name="apply" proved="true" arg1="tree_frame" arg2="with" arg3="prev.to_fmap,next1.to_fmap">
     <goal name="dll_to_bst_rec&#39;vc.18.0.8.0" expl="apply premises" proved="true">
     <proof prover="0"><result status="valid" time="0.030000" steps="130251"/></proof>
     <proof prover="2"><result status="valid" time="0.030000" steps="79"/></proof>
     <proof prover="3"><result status="valid" time="0.100000" steps="31066"/></proof>
     </goal>
     <goal name="dll_to_bst_rec&#39;vc.18.0.8.1" expl="apply premises" proved="true">
     <proof prover="1"><result status="valid" time="2.740000" steps="2481"/></proof>
     </goal>
     <goal name="dll_to_bst_rec&#39;vc.18.0.8.2" expl="apply premises" proved="true">
     <transf name="split_vc" proved="true" >
      <goal name="dll_to_bst_rec&#39;vc.18.0.8.2.0" expl="apply premises" proved="true">
      <proof prover="5"><result status="valid" time="0.020000" steps="28"/></proof>
      </goal>
      <goal name="dll_to_bst_rec&#39;vc.18.0.8.2.1" expl="apply premises" proved="true">
      <proof prover="3"><result status="valid" time="1.644509" steps="281330"/></proof>
      </goal>
     </transf>
     </goal>
    </transf>
    </goal>
   </transf>
   </goal>
  </transf>
  </goal>
  <goal name="dll_to_bst_rec&#39;vc.19" expl="postcondition" proved="true">
  <proof prover="3"><result status="valid" time="0.440000" steps="78055"/></proof>
  </goal>
  <goal name="dll_to_bst_rec&#39;vc.20" expl="postcondition" proved="true">
  <proof prover="3"><result status="valid" time="0.360000" steps="76217"/></proof>
  </goal>
  <goal name="dll_to_bst_rec&#39;vc.21" expl="postcondition" proved="true">
  <proof prover="3"><result status="valid" time="1.410000" steps="215239"/></proof>
  </goal>
  <goal name="dll_to_bst_rec&#39;vc.22" expl="postcondition" proved="true">
  <proof prover="3"><result status="valid" time="1.064009" steps="202599"/></proof>
  </goal>
  <goal name="dll_to_bst_rec&#39;vc.23" expl="postcondition" proved="true">
  <proof prover="0"><result status="valid" time="0.040000" steps="202612"/></proof>
  </goal>
  <goal name="dll_to_bst_rec&#39;vc.24" expl="postcondition" proved="true">
  <transf name="split_all_full" proved="true" >
   <goal name="dll_to_bst_rec&#39;vc.24.0" expl="postcondition" proved="true">
   <proof prover="7"><result status="valid" time="5.218227" steps="543264"/></proof>
   </goal>
  </transf>
  </goal>
  <goal name="dll_to_bst_rec&#39;vc.25" expl="postcondition" proved="true">
  <transf name="inline_goal" proved="true" >
   <goal name="dll_to_bst_rec&#39;vc.25.0" expl="postcondition" proved="true">
   <transf name="split_all_full" proved="true" >
    <goal name="dll_to_bst_rec&#39;vc.25.0.0" expl="VC for dll_to_bst_rec" proved="true">
    <proof prover="8" timelimit="1"><result status="valid" time="0.400000" steps="85403"/></proof>
    </goal>
    <goal name="dll_to_bst_rec&#39;vc.25.0.1" expl="VC for dll_to_bst_rec" proved="true">
    <transf name="split_vc" proved="true" >
     <goal name="dll_to_bst_rec&#39;vc.25.0.1.0" expl="VC for dll_to_bst_rec" proved="true">
     <proof prover="4"><result status="valid" time="2.010000" steps="18213"/></proof>
     </goal>
    </transf>
    </goal>
   </transf>
   </goal>
  </transf>
  </goal>
 </transf>
 </goal>
 <goal name="tree_size&#39;vc" expl="VC for tree_size" proved="true">
 <proof prover="3"><result status="valid" time="0.100000" steps="26403"/></proof>
 </goal>
 <goal name="tree_inorder&#39;vc" expl="VC for tree_inorder" proved="true">
 <proof prover="2"><result status="valid" time="0.190000" steps="1008"/></proof>
 </goal>
 <goal name="size&#39;vc" expl="VC for size" proved="true">
 <proof prover="3"><result status="valid" time="0.260000" steps="54748"/></proof>
 </goal>
 <goal name="dll_to_bst&#39;vc" expl="VC for dll_to_bst" proved="true">
 <proof prover="3"><result status="valid" time="0.170000" steps="36751"/></proof>
 <transf name="split_vc" proved="true" >
  <goal name="dll_to_bst&#39;vc.0" expl="precondition" proved="true">
  <proof prover="3"><result status="valid" time="0.080000" steps="25119"/></proof>
  </goal>
  <goal name="dll_to_bst&#39;vc.1" expl="precondition" proved="true">
  <proof prover="3"><result status="valid" time="0.070000" steps="25155"/></proof>
  </goal>
  <goal name="dll_to_bst&#39;vc.2" expl="postcondition" proved="true">
  <proof prover="3"><result status="valid" time="0.070000" steps="28181"/></proof>
  </goal>
  <goal name="dll_to_bst&#39;vc.3" expl="postcondition" proved="true">
  <proof prover="3"><result status="valid" time="0.120000" steps="31177"/></proof>
  </goal>
  <goal name="dll_to_bst&#39;vc.4" expl="postcondition" proved="true">
  <proof prover="2"><result status="valid" time="0.140000" steps="326"/></proof>
  </goal>
  <goal name="dll_to_bst&#39;vc.5" expl="postcondition" proved="true">
  <proof prover="3"><result status="valid" time="0.080000" steps="28479"/></proof>
  </goal>
 </transf>
 </goal>
 <goal name="size_alt&#39;vc" expl="VC for size_alt" proved="true">
 <proof prover="3"><result status="valid" time="0.260000" steps="56650"/></proof>
 </goal>
 <goal name="dll_to_bst_alt&#39;vc" expl="VC for dll_to_bst_alt" proved="true">
 <proof prover="3"><result status="valid" time="0.170000" steps="36737"/></proof>
 <transf name="split_vc" proved="true" >
  <goal name="dll_to_bst_alt&#39;vc.0" expl="precondition" proved="true">
  <proof prover="3"><result status="valid" time="0.080000" steps="25119"/></proof>
  </goal>
  <goal name="dll_to_bst_alt&#39;vc.1" expl="precondition" proved="true">
  <proof prover="3"><result status="valid" time="0.090000" steps="25148"/></proof>
  </goal>
  <goal name="dll_to_bst_alt&#39;vc.2" expl="postcondition" proved="true">
  <proof prover="3"><result status="valid" time="0.080000" steps="28174"/></proof>
  </goal>
  <goal name="dll_to_bst_alt&#39;vc.3" expl="postcondition" proved="true">
  <proof prover="3"><result status="valid" time="0.140000" steps="31170"/></proof>
  </goal>
  <goal name="dll_to_bst_alt&#39;vc.4" expl="postcondition" proved="true">
  <proof prover="2"><result status="valid" time="0.130000" steps="342"/></proof>
  </goal>
  <goal name="dll_to_bst_alt&#39;vc.5" expl="postcondition" proved="true">
  <proof prover="3"><result status="valid" time="0.080000" steps="28442"/></proof>
  </goal>
 </transf>
 </goal>
</theory>
</file>
</why3session>
