<?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="Eprover" version="2.0" timelimit="5" steplimit="0" memlimit="2000"/>
<prover id="1" name="Alt-Ergo" version="2.2.0" timelimit="1" steplimit="0" memlimit="1000"/>
<prover id="3" name="Alt-Ergo" version="2.3.0" timelimit="1" steplimit="0" memlimit="1000"/>
<prover id="4" name="CVC5" version="1.0.5" timelimit="1" steplimit="0" memlimit="1000"/>
<file format="whyml" proved="true">
<path name=".."/><path name="mpz.mlw"/>
<theory name="Z" proved="true">
 <goal name="mpz_memo&#39;vc" expl="VC for mpz_memo" proved="true">
 <transf name="split_vc" proved="true" >
  <goal name="mpz_memo&#39;vc.0" expl="type invariant" proved="true">
  <proof prover="4"><result status="valid" time="0.040000" steps="11655"/></proof>
  </goal>
 </transf>
 </goal>
 <goal name="unchanged&#39;vc" expl="VC for unchanged" proved="true">
 <proof prover="4"><result status="valid" time="0.070000" steps="15202"/></proof>
 </goal>
 <goal name="unchanged_transitive" proved="true">
 <proof prover="4"><result status="valid" time="0.080000" steps="14667"/></proof>
 </goal>
 <goal name="abs&#39;vc" expl="VC for abs" proved="true">
 <proof prover="4"><result status="valid" time="0.080000" steps="15088"/></proof>
 </goal>
 <goal name="abs_size_of&#39;vc" expl="VC for abs_size_of" proved="true">
 <proof prover="1"><result status="valid" time="0.010000" steps="160"/></proof>
 </goal>
</theory>
<theory name="Zutil" proved="true">
 <goal name="wmpz_ptr_decl&#39;vc" expl="VC for wmpz_ptr_decl" proved="true">
 <transf name="split_vc" proved="true" >
  <goal name="wmpz_ptr_decl&#39;vc.0" expl="postcondition" proved="true">
  <proof prover="3"><result status="valid" time="0.010000" steps="27"/></proof>
  </goal>
  <goal name="wmpz_ptr_decl&#39;vc.1" expl="postcondition" proved="true">
  <proof prover="3"><result status="valid" time="0.010000" steps="27"/></proof>
  </goal>
  <goal name="wmpz_ptr_decl&#39;vc.2" expl="postcondition" proved="true">
  <proof prover="3"><result status="valid" time="0.010000" steps="27"/></proof>
  </goal>
  <goal name="wmpz_ptr_decl&#39;vc.3" expl="postcondition" proved="true">
  <proof prover="3"><result status="valid" time="0.010000" steps="28"/></proof>
  </goal>
  <goal name="wmpz_ptr_decl&#39;vc.4" expl="postcondition" proved="true">
  <proof prover="3"><result status="valid" time="0.010000" steps="29"/></proof>
  </goal>
  <goal name="wmpz_ptr_decl&#39;vc.5" expl="postcondition" proved="true">
  <proof prover="3"><result status="valid" time="0.010000" steps="30"/></proof>
  </goal>
  <goal name="wmpz_ptr_decl&#39;vc.6" expl="postcondition" proved="true">
  <proof prover="3"><result status="valid" time="0.010000" steps="35"/></proof>
  </goal>
 </transf>
 </goal>
 <goal name="wmpz_do_realloc&#39;vc" expl="VC for wmpz_do_realloc" proved="true">
 <transf name="split_vc" proved="true" >
  <goal name="wmpz_do_realloc&#39;vc.0" expl="precondition" proved="true">
  <proof prover="4"><result status="valid" time="0.080000" steps="7912"/></proof>
  </goal>
  <goal name="wmpz_do_realloc&#39;vc.1" expl="assertion" proved="true">
  <proof prover="4"><result status="valid" time="0.070000" steps="17612"/></proof>
  </goal>
  <goal name="wmpz_do_realloc&#39;vc.2" expl="precondition" proved="true">
  <proof prover="3"><result status="valid" time="0.020000" steps="45"/></proof>
  </goal>
  <goal name="wmpz_do_realloc&#39;vc.3" expl="precondition" proved="true">
  <proof prover="4"><result status="valid" time="0.050000" steps="11659"/></proof>
  </goal>
  <goal name="wmpz_do_realloc&#39;vc.4" expl="precondition" proved="true">
  <proof prover="4"><result status="valid" time="0.070000" steps="8819"/></proof>
  </goal>
  <goal name="wmpz_do_realloc&#39;vc.5" expl="precondition" proved="true">
  <proof prover="4"><result status="valid" time="0.050000" steps="8824"/></proof>
  </goal>
  <goal name="wmpz_do_realloc&#39;vc.6" expl="precondition" proved="true">
  <proof prover="4"><result status="valid" time="0.060000" steps="8944"/></proof>
  </goal>
  <goal name="wmpz_do_realloc&#39;vc.7" expl="precondition" proved="true">
  <proof prover="3"><result status="valid" time="0.010000" steps="48"/></proof>
  </goal>
  <goal name="wmpz_do_realloc&#39;vc.8" expl="precondition" proved="true">
  <proof prover="4"><result status="valid" time="0.080000" steps="8601"/></proof>
  </goal>
  <goal name="wmpz_do_realloc&#39;vc.9" expl="precondition" proved="true">
  <proof prover="3"><result status="valid" time="0.020000" steps="69"/></proof>
  </goal>
  <goal name="wmpz_do_realloc&#39;vc.10" expl="precondition" proved="true">
  <proof prover="4"><result status="valid" time="0.120000" steps="11668"/></proof>
  </goal>
  <goal name="wmpz_do_realloc&#39;vc.11" expl="precondition" proved="true">
  <proof prover="4"><result status="valid" time="0.110000" steps="11799"/></proof>
  </goal>
  <goal name="wmpz_do_realloc&#39;vc.12" expl="precondition" proved="true">
  <proof prover="4"><result status="valid" time="0.070000" steps="12251"/></proof>
  </goal>
  <goal name="wmpz_do_realloc&#39;vc.13" expl="precondition" proved="true">
  <proof prover="4"><result status="valid" time="0.120000" steps="9392"/></proof>
  </goal>
  <goal name="wmpz_do_realloc&#39;vc.14" expl="precondition" proved="true">
  <proof prover="3"><result status="valid" time="0.010000" steps="97"/></proof>
  </goal>
  <goal name="wmpz_do_realloc&#39;vc.15" expl="precondition" proved="true">
  <proof prover="4"><result status="valid" time="0.090000" steps="9405"/></proof>
  </goal>
  <goal name="wmpz_do_realloc&#39;vc.16" expl="precondition" proved="true">
  <proof prover="4"><result status="valid" time="0.050000" steps="9520"/></proof>
  </goal>
  <goal name="wmpz_do_realloc&#39;vc.17" expl="precondition" proved="true">
  <proof prover="3"><result status="valid" time="0.010000" steps="97"/></proof>
  </goal>
  <goal name="wmpz_do_realloc&#39;vc.18" expl="precondition" proved="true">
  <proof prover="4"><result status="valid" time="0.050000" steps="12105"/></proof>
  </goal>
  <goal name="wmpz_do_realloc&#39;vc.19" expl="postcondition" proved="true">
  <transf name="apply" proved="true" arg1="unchanged_transitive" arg2="with" arg3="mpz1">
   <goal name="wmpz_do_realloc&#39;vc.19.0" expl="apply premises" proved="true">
   <proof prover="3"><result status="valid" time="0.040000" steps="113"/></proof>
   <proof prover="4"><result status="valid" time="0.100000" steps="12987"/></proof>
   </goal>
   <goal name="wmpz_do_realloc&#39;vc.19.1" expl="apply premises" proved="true">
   <transf name="apply" proved="true" arg1="unchanged_transitive" arg2="with" arg3="mpz2">
    <goal name="wmpz_do_realloc&#39;vc.19.1.0" expl="apply premises" proved="true">
    <proof prover="3"><result status="valid" time="0.040000" steps="113"/></proof>
    <proof prover="4"><result status="valid" time="0.130000" steps="12987"/></proof>
    </goal>
    <goal name="wmpz_do_realloc&#39;vc.19.1.1" expl="apply premises" proved="true">
    <transf name="apply" proved="true" arg1="unchanged_transitive" arg2="with" arg3="mpz3">
     <goal name="wmpz_do_realloc&#39;vc.19.1.1.0" expl="apply premises" proved="true">
     <proof prover="3"><result status="valid" time="0.040000" steps="113"/></proof>
     <proof prover="4"><result status="valid" time="0.100000" steps="12987"/></proof>
     </goal>
     <goal name="wmpz_do_realloc&#39;vc.19.1.1.1" expl="apply premises" proved="true">
     <proof prover="3"><result status="valid" time="0.040000" steps="113"/></proof>
     <proof prover="4"><result status="valid" time="0.110000" steps="12987"/></proof>
     </goal>
    </transf>
    </goal>
   </transf>
   </goal>
  </transf>
  </goal>
  <goal name="wmpz_do_realloc&#39;vc.20" expl="postcondition" proved="true">
  <proof prover="4"><result status="valid" time="0.060000" steps="8904"/></proof>
  </goal>
  <goal name="wmpz_do_realloc&#39;vc.21" expl="postcondition" proved="true">
  <proof prover="4"><result status="valid" time="0.120000" steps="12285"/></proof>
  </goal>
  <goal name="wmpz_do_realloc&#39;vc.22" expl="postcondition" proved="true">
  <proof prover="4"><result status="valid" time="0.070000" steps="8920"/></proof>
  </goal>
  <goal name="wmpz_do_realloc&#39;vc.23" expl="postcondition" proved="true">
  <proof prover="4"><result status="valid" time="0.080000" steps="9221"/></proof>
  </goal>
  <goal name="wmpz_do_realloc&#39;vc.24" expl="postcondition" proved="true">
  <proof prover="4"><result status="valid" time="0.050000" steps="9612"/></proof>
  </goal>
  <goal name="wmpz_do_realloc&#39;vc.25" expl="postcondition" proved="true">
  <proof prover="4"><result status="valid" time="0.050000" steps="9649"/></proof>
  </goal>
  <goal name="wmpz_do_realloc&#39;vc.26" expl="postcondition" proved="true">
  <proof prover="4"><result status="valid" time="0.080000" steps="9620"/></proof>
  </goal>
  <goal name="wmpz_do_realloc&#39;vc.27" expl="postcondition" proved="true">
  <proof prover="3"><result status="valid" time="0.030000" steps="110"/></proof>
  </goal>
  <goal name="wmpz_do_realloc&#39;vc.28" expl="postcondition" proved="true">
  <proof prover="4"><result status="valid" time="0.070000" steps="9388"/></proof>
  </goal>
  <goal name="wmpz_do_realloc&#39;vc.29" expl="postcondition" proved="true">
  <proof prover="4"><result status="valid" time="0.080000" steps="12356"/></proof>
  </goal>
  <goal name="wmpz_do_realloc&#39;vc.30" expl="precondition" proved="true">
  <proof prover="3"><result status="valid" time="0.100000" steps="261"/></proof>
  </goal>
  <goal name="wmpz_do_realloc&#39;vc.31" expl="precondition" proved="true">
  <proof prover="4"><result status="valid" time="0.042325" steps="11754"/></proof>
  </goal>
  <goal name="wmpz_do_realloc&#39;vc.32" expl="precondition" proved="true">
  <proof prover="4"><result status="valid" time="0.100000" steps="11710"/></proof>
  </goal>
  <goal name="wmpz_do_realloc&#39;vc.33" expl="precondition" proved="true">
  <proof prover="4"><result status="valid" time="0.070000" steps="9285"/></proof>
  </goal>
  <goal name="wmpz_do_realloc&#39;vc.34" expl="precondition" proved="true">
  <proof prover="4"><result status="valid" time="0.060000" steps="9048"/></proof>
  </goal>
  <goal name="wmpz_do_realloc&#39;vc.35" expl="precondition" proved="true">
  <proof prover="4"><result status="valid" time="0.070000" steps="9298"/></proof>
  </goal>
  <goal name="wmpz_do_realloc&#39;vc.36" expl="precondition" proved="true">
  <proof prover="4"><result status="valid" time="0.120000" steps="9413"/></proof>
  </goal>
  <goal name="wmpz_do_realloc&#39;vc.37" expl="precondition" proved="true">
  <proof prover="4"><result status="valid" time="0.060000" steps="12073"/></proof>
  </goal>
  <goal name="wmpz_do_realloc&#39;vc.38" expl="precondition" proved="true">
  <proof prover="4"><result status="valid" time="0.120000" steps="11957"/></proof>
  </goal>
  <goal name="wmpz_do_realloc&#39;vc.39" expl="postcondition" proved="true">
  <transf name="apply" proved="true" arg1="unchanged_transitive" arg2="with" arg3="mpz1">
   <goal name="wmpz_do_realloc&#39;vc.39.0" expl="apply premises" proved="true">
   <proof prover="3" timelimit="5"><result status="valid" time="0.030000" steps="103"/></proof>
   <proof prover="4" timelimit="5"><result status="valid" time="0.070000" steps="12823"/></proof>
   </goal>
   <goal name="wmpz_do_realloc&#39;vc.39.1" expl="apply premises" proved="true">
   <transf name="apply" proved="true" arg1="unchanged_transitive" arg2="with" arg3="mpz2">
    <goal name="wmpz_do_realloc&#39;vc.39.1.0" expl="apply premises" proved="true">
    <proof prover="3"><result status="valid" time="0.030000" steps="103"/></proof>
    <proof prover="4"><result status="valid" time="0.080000" steps="12823"/></proof>
    </goal>
    <goal name="wmpz_do_realloc&#39;vc.39.1.1" expl="apply premises" proved="true">
    <proof prover="3"><result status="valid" time="0.030000" steps="103"/></proof>
    <proof prover="4"><result status="valid" time="0.070000" steps="12823"/></proof>
    </goal>
   </transf>
   </goal>
  </transf>
  </goal>
  <goal name="wmpz_do_realloc&#39;vc.40" expl="postcondition" proved="true">
  <proof prover="4"><result status="valid" time="0.080000" steps="8813"/></proof>
  </goal>
  <goal name="wmpz_do_realloc&#39;vc.41" expl="postcondition" proved="true">
  <proof prover="4"><result status="valid" time="0.080000" steps="12139"/></proof>
  </goal>
  <goal name="wmpz_do_realloc&#39;vc.42" expl="postcondition" proved="true">
  <proof prover="4"><result status="valid" time="0.100000" steps="8829"/></proof>
  </goal>
  <goal name="wmpz_do_realloc&#39;vc.43" expl="postcondition" proved="true">
  <proof prover="4"><result status="valid" time="0.070000" steps="9114"/></proof>
  </goal>
  <goal name="wmpz_do_realloc&#39;vc.44" expl="postcondition" proved="true">
  <proof prover="4"><result status="valid" time="0.050000" steps="9505"/></proof>
  </goal>
  <goal name="wmpz_do_realloc&#39;vc.45" expl="postcondition" proved="true">
  <proof prover="4"><result status="valid" time="0.080000" steps="9542"/></proof>
  </goal>
  <goal name="wmpz_do_realloc&#39;vc.46" expl="postcondition" proved="true">
  <proof prover="4"><result status="valid" time="0.070000" steps="9513"/></proof>
  </goal>
  <goal name="wmpz_do_realloc&#39;vc.47" expl="postcondition" proved="true">
  <proof prover="4"><result status="valid" time="0.060000" steps="12681"/></proof>
  </goal>
  <goal name="wmpz_do_realloc&#39;vc.48" expl="postcondition" proved="true">
  <proof prover="4"><result status="valid" time="0.070000" steps="9281"/></proof>
  </goal>
  <goal name="wmpz_do_realloc&#39;vc.49" expl="postcondition" proved="true">
  <proof prover="3"><result status="valid" time="0.050000" steps="104"/></proof>
  </goal>
 </transf>
 </goal>
 <goal name="wmpz_realloc&#39;vc" expl="VC for wmpz_realloc" proved="true">
 <transf name="split_vc" proved="true" >
  <goal name="wmpz_realloc&#39;vc.0" expl="precondition" proved="true">
  <proof prover="4"><result status="valid" time="0.070000" steps="7919"/></proof>
  </goal>
  <goal name="wmpz_realloc&#39;vc.1" expl="precondition" proved="true">
  <proof prover="4"><result status="valid" time="0.070000" steps="11403"/></proof>
  </goal>
  <goal name="wmpz_realloc&#39;vc.2" expl="precondition" proved="true">
  <proof prover="4"><result status="valid" time="0.050000" steps="7948"/></proof>
  </goal>
  <goal name="wmpz_realloc&#39;vc.3" expl="precondition" proved="true">
  <proof prover="3"><result status="valid" time="0.010000" steps="22"/></proof>
  </goal>
  <goal name="wmpz_realloc&#39;vc.4" expl="postcondition" proved="true">
  <proof prover="4"><result status="valid" time="0.100000" steps="12104"/></proof>
  </goal>
  <goal name="wmpz_realloc&#39;vc.5" expl="postcondition" proved="true">
  <proof prover="4"><result status="valid" time="0.070000" steps="8224"/></proof>
  </goal>
  <goal name="wmpz_realloc&#39;vc.6" expl="postcondition" proved="true">
  <proof prover="0"><result status="valid" time="0.030000"/></proof>
  </goal>
  <goal name="wmpz_realloc&#39;vc.7" expl="postcondition" proved="true">
  <transf name="split_vc" proved="true" >
   <goal name="wmpz_realloc&#39;vc.7.0" expl="postcondition" proved="true">
   <proof prover="4"><result status="valid" time="0.060000" steps="8481"/></proof>
   </goal>
  </transf>
  </goal>
  <goal name="wmpz_realloc&#39;vc.8" expl="postcondition" proved="true">
  <proof prover="4"><result status="valid" time="0.080000" steps="8867"/></proof>
  </goal>
  <goal name="wmpz_realloc&#39;vc.9" expl="postcondition" proved="true">
  <proof prover="4"><result status="valid" time="0.080000" steps="11593"/></proof>
  </goal>
  <goal name="wmpz_realloc&#39;vc.10" expl="postcondition" proved="true">
  <proof prover="4"><result status="valid" time="0.080000" steps="8883"/></proof>
  </goal>
  <goal name="wmpz_realloc&#39;vc.11" expl="postcondition" proved="true">
  <proof prover="4"><result status="valid" time="0.100000" steps="12103"/></proof>
  </goal>
  <goal name="wmpz_realloc&#39;vc.12" expl="postcondition" proved="true">
  <proof prover="4"><result status="valid" time="0.130000" steps="8655"/></proof>
  </goal>
  <goal name="wmpz_realloc&#39;vc.13" expl="postcondition" proved="true">
  <proof prover="4"><result status="valid" time="0.150000" steps="29095"/></proof>
  </goal>
  <goal name="wmpz_realloc&#39;vc.14" expl="postcondition" proved="true">
  <proof prover="4"><result status="valid" time="0.080000" steps="11494"/></proof>
  </goal>
  <goal name="wmpz_realloc&#39;vc.15" expl="postcondition" proved="true">
  <proof prover="4"><result status="valid" time="0.070000" steps="11481"/></proof>
  </goal>
  <goal name="wmpz_realloc&#39;vc.16" expl="precondition" proved="true">
  <proof prover="4"><result status="valid" time="0.050000" steps="7937"/></proof>
  </goal>
  <goal name="wmpz_realloc&#39;vc.17" expl="postcondition" proved="true">
  <proof prover="4"><result status="valid" time="0.080000" steps="17869"/></proof>
  </goal>
  <goal name="wmpz_realloc&#39;vc.18" expl="postcondition" proved="true">
  <proof prover="4"><result status="valid" time="0.060000" steps="8182"/></proof>
  </goal>
  <goal name="wmpz_realloc&#39;vc.19" expl="postcondition" proved="true">
  <proof prover="4"><result status="valid" time="0.080000" steps="8190"/></proof>
  </goal>
  <goal name="wmpz_realloc&#39;vc.20" expl="postcondition" proved="true">
  <proof prover="4"><result status="valid" time="0.080000" steps="8449"/></proof>
  </goal>
  <goal name="wmpz_realloc&#39;vc.21" expl="postcondition" proved="true">
  <proof prover="4"><result status="valid" time="0.080000" steps="8833"/></proof>
  </goal>
  <goal name="wmpz_realloc&#39;vc.22" expl="postcondition" proved="true">
  <proof prover="4"><result status="valid" time="0.070000" steps="8464"/></proof>
  </goal>
  <goal name="wmpz_realloc&#39;vc.23" expl="postcondition" proved="true">
  <proof prover="4"><result status="valid" time="0.080000" steps="8839"/></proof>
  </goal>
  <goal name="wmpz_realloc&#39;vc.24" expl="postcondition" proved="true">
  <proof prover="4"><result status="valid" time="0.060000" steps="8959"/></proof>
  </goal>
  <goal name="wmpz_realloc&#39;vc.25" expl="postcondition" proved="true">
  <proof prover="4"><result status="valid" time="0.120000" steps="8601"/></proof>
  </goal>
  <goal name="wmpz_realloc&#39;vc.26" expl="postcondition" proved="true">
  <proof prover="4"><result status="valid" time="0.080000" steps="11396"/></proof>
  </goal>
  <goal name="wmpz_realloc&#39;vc.27" expl="postcondition" proved="true">
  <proof prover="4"><result status="valid" time="0.080000" steps="11430"/></proof>
  </goal>
  <goal name="wmpz_realloc&#39;vc.28" expl="postcondition" proved="true">
  <proof prover="4"><result status="valid" time="0.080000" steps="11466"/></proof>
  </goal>
 </transf>
 </goal>
 <goal name="mpz_ptr_swap&#39;vc" expl="VC for mpz_ptr_swap" proved="true">
 <transf name="split_vc" proved="true" >
  <goal name="mpz_ptr_swap&#39;vc.0" expl="postcondition" proved="true">
  <proof prover="4" timelimit="5" memlimit="2000"><result status="valid" time="0.060000" steps="10971"/></proof>
  </goal>
  <goal name="mpz_ptr_swap&#39;vc.1" expl="postcondition" proved="true">
  <proof prover="4" timelimit="5" memlimit="2000"><result status="valid" time="0.080000" steps="8312"/></proof>
  </goal>
  <goal name="mpz_ptr_swap&#39;vc.2" expl="postcondition" proved="true">
  <proof prover="4" timelimit="5" memlimit="2000"><result status="valid" time="0.050000" steps="8313"/></proof>
  </goal>
 </transf>
 </goal>
</theory>
</file>
</why3session>
