<?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="2" name="CVC4" version="1.6" timelimit="1" steplimit="0" memlimit="1000"/>
<prover id="3" name="Alt-Ergo" version="2.3.0" 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="2"><result status="valid" time="0.04" steps="15007"/></proof>
  </goal>
 </transf>
 </goal>
 <goal name="unchanged&#39;vc" expl="VC for unchanged" proved="true">
 <proof prover="2"><result status="valid" time="0.07" steps="16372"/></proof>
 </goal>
 <goal name="unchanged_transitive" proved="true">
 <proof prover="2"><result status="valid" time="0.08" steps="17668"/></proof>
 </goal>
 <goal name="abs&#39;vc" expl="VC for abs" proved="true">
 <proof prover="2"><result status="valid" time="0.08" steps="17614"/></proof>
 </goal>
 <goal name="abs_size_of&#39;vc" expl="VC for abs_size_of" proved="true">
 <proof prover="1"><result status="valid" time="0.01" 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="0.01" steps="27"/></proof>
  </goal>
  <goal name="wmpz_ptr_decl&#39;vc.1" expl="postcondition" proved="true">
  <proof prover="3"><result status="valid" time="0.01" steps="27"/></proof>
  </goal>
  <goal name="wmpz_ptr_decl&#39;vc.2" expl="postcondition" proved="true">
  <proof prover="3"><result status="valid" time="0.01" steps="27"/></proof>
  </goal>
  <goal name="wmpz_ptr_decl&#39;vc.3" expl="postcondition" proved="true">
  <proof prover="3"><result status="valid" time="0.01" steps="28"/></proof>
  </goal>
  <goal name="wmpz_ptr_decl&#39;vc.4" expl="postcondition" proved="true">
  <proof prover="3"><result status="valid" time="0.01" steps="29"/></proof>
  </goal>
  <goal name="wmpz_ptr_decl&#39;vc.5" expl="postcondition" proved="true">
  <proof prover="3"><result status="valid" time="0.01" steps="30"/></proof>
  </goal>
  <goal name="wmpz_ptr_decl&#39;vc.6" expl="postcondition" proved="true">
  <proof prover="3"><result status="valid" time="0.01" 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="2"><result status="valid" time="0.08" steps="13645"/></proof>
  </goal>
  <goal name="wmpz_do_realloc&#39;vc.1" expl="assertion" proved="true">
  <proof prover="2"><result status="valid" time="0.07" steps="18307"/></proof>
  </goal>
  <goal name="wmpz_do_realloc&#39;vc.2" expl="precondition" proved="true">
  <proof prover="3"><result status="valid" time="0.02" steps="45"/></proof>
  </goal>
  <goal name="wmpz_do_realloc&#39;vc.3" expl="precondition" proved="true">
  <proof prover="2"><result status="valid" time="0.05" steps="15679"/></proof>
  </goal>
  <goal name="wmpz_do_realloc&#39;vc.4" expl="precondition" proved="true">
  <proof prover="2"><result status="valid" time="0.07" steps="14757"/></proof>
  </goal>
  <goal name="wmpz_do_realloc&#39;vc.5" expl="precondition" proved="true">
  <proof prover="2"><result status="valid" time="0.05" steps="14766"/></proof>
  </goal>
  <goal name="wmpz_do_realloc&#39;vc.6" expl="precondition" proved="true">
  <proof prover="2"><result status="valid" time="0.06" steps="14954"/></proof>
  </goal>
  <goal name="wmpz_do_realloc&#39;vc.7" expl="precondition" proved="true">
  <proof prover="3"><result status="valid" time="0.01" steps="48"/></proof>
  </goal>
  <goal name="wmpz_do_realloc&#39;vc.8" expl="precondition" proved="true">
  <proof prover="2"><result status="valid" time="0.08" steps="14523"/></proof>
  </goal>
  <goal name="wmpz_do_realloc&#39;vc.9" expl="precondition" proved="true">
  <proof prover="3"><result status="valid" time="0.02" steps="69"/></proof>
  </goal>
  <goal name="wmpz_do_realloc&#39;vc.10" expl="precondition" proved="true">
  <proof prover="2"><result status="valid" time="0.12" steps="15864"/></proof>
  </goal>
  <goal name="wmpz_do_realloc&#39;vc.11" expl="precondition" proved="true">
  <proof prover="2"><result status="valid" time="0.11" steps="16050"/></proof>
  </goal>
  <goal name="wmpz_do_realloc&#39;vc.12" expl="precondition" proved="true">
  <proof prover="2"><result status="valid" time="0.07" steps="16253"/></proof>
  </goal>
  <goal name="wmpz_do_realloc&#39;vc.13" expl="precondition" proved="true">
  <proof prover="2"><result status="valid" time="0.12" steps="15562"/></proof>
  </goal>
  <goal name="wmpz_do_realloc&#39;vc.14" expl="precondition" proved="true">
  <proof prover="3"><result status="valid" time="0.01" steps="99"/></proof>
  </goal>
  <goal name="wmpz_do_realloc&#39;vc.15" expl="precondition" proved="true">
  <proof prover="2"><result status="valid" time="0.09" steps="15582"/></proof>
  </goal>
  <goal name="wmpz_do_realloc&#39;vc.16" expl="precondition" proved="true">
  <proof prover="2"><result status="valid" time="0.05" steps="15767"/></proof>
  </goal>
  <goal name="wmpz_do_realloc&#39;vc.17" expl="precondition" proved="true">
  <proof prover="3"><result status="valid" time="0.01" steps="99"/></proof>
  </goal>
  <goal name="wmpz_do_realloc&#39;vc.18" expl="precondition" proved="true">
  <proof prover="2"><result status="valid" time="0.05" steps="16461"/></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="2"><result status="valid" time="0.10" steps="17156"/></proof>
   <proof prover="3"><result status="valid" time="0.04" steps="115"/></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="2"><result status="valid" time="0.13" steps="17156"/></proof>
    <proof prover="3"><result status="valid" time="0.04" steps="115"/></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="2"><result status="valid" time="0.10" steps="17156"/></proof>
     <proof prover="3"><result status="valid" time="0.04" steps="115"/></proof>
     </goal>
     <goal name="wmpz_do_realloc&#39;vc.19.1.1.1" expl="apply premises" proved="true">
     <proof prover="2"><result status="valid" time="0.11" steps="17156"/></proof>
     <proof prover="3"><result status="valid" time="0.04" steps="115"/></proof>
     </goal>
    </transf>
    </goal>
   </transf>
   </goal>
  </transf>
  </goal>
  <goal name="wmpz_do_realloc&#39;vc.20" expl="postcondition" proved="true">
  <proof prover="2"><result status="valid" time="0.06" steps="15099"/></proof>
  </goal>
  <goal name="wmpz_do_realloc&#39;vc.21" expl="postcondition" proved="true">
  <proof prover="2"><result status="valid" time="0.12" steps="16724"/></proof>
  </goal>
  <goal name="wmpz_do_realloc&#39;vc.22" expl="postcondition" proved="true">
  <proof prover="2"><result status="valid" time="0.07" steps="15120"/></proof>
  </goal>
  <goal name="wmpz_do_realloc&#39;vc.23" expl="postcondition" proved="true">
  <proof prover="2"><result status="valid" time="0.08" steps="15373"/></proof>
  </goal>
  <goal name="wmpz_do_realloc&#39;vc.24" expl="postcondition" proved="true">
  <proof prover="2"><result status="valid" time="0.05" steps="15897"/></proof>
  </goal>
  <goal name="wmpz_do_realloc&#39;vc.25" expl="postcondition" proved="true">
  <proof prover="2"><result status="valid" time="0.05" steps="16012"/></proof>
  </goal>
  <goal name="wmpz_do_realloc&#39;vc.26" expl="postcondition" proved="true">
  <proof prover="2"><result status="valid" time="0.08" steps="15912"/></proof>
  </goal>
  <goal name="wmpz_do_realloc&#39;vc.27" expl="postcondition" proved="true">
  <proof prover="3"><result status="valid" time="0.03" steps="112"/></proof>
  </goal>
  <goal name="wmpz_do_realloc&#39;vc.28" expl="postcondition" proved="true">
  <proof prover="2"><result status="valid" time="0.07" steps="15652"/></proof>
  </goal>
  <goal name="wmpz_do_realloc&#39;vc.29" expl="postcondition" proved="true">
  <proof prover="2"><result status="valid" time="0.08" steps="16848"/></proof>
  </goal>
  <goal name="wmpz_do_realloc&#39;vc.30" expl="precondition" proved="true">
  <proof prover="3"><result status="valid" time="0.10" steps="263"/></proof>
  </goal>
  <goal name="wmpz_do_realloc&#39;vc.31" expl="precondition" proved="true">
  <proof prover="2"><result status="valid" time="0.16" steps="15980"/></proof>
  </goal>
  <goal name="wmpz_do_realloc&#39;vc.32" expl="precondition" proved="true">
  <proof prover="2"><result status="valid" time="0.10" steps="15934"/></proof>
  </goal>
  <goal name="wmpz_do_realloc&#39;vc.33" expl="precondition" proved="true">
  <proof prover="2"><result status="valid" time="0.07" steps="15429"/></proof>
  </goal>
  <goal name="wmpz_do_realloc&#39;vc.34" expl="precondition" proved="true">
  <proof prover="2"><result status="valid" time="0.06" steps="15167"/></proof>
  </goal>
  <goal name="wmpz_do_realloc&#39;vc.35" expl="precondition" proved="true">
  <proof prover="2"><result status="valid" time="0.07" steps="15449"/></proof>
  </goal>
  <goal name="wmpz_do_realloc&#39;vc.36" expl="precondition" proved="true">
  <proof prover="2"><result status="valid" time="0.12" steps="15634"/></proof>
  </goal>
  <goal name="wmpz_do_realloc&#39;vc.37" expl="precondition" proved="true">
  <proof prover="2"><result status="valid" time="0.06" steps="16506"/></proof>
  </goal>
  <goal name="wmpz_do_realloc&#39;vc.38" expl="precondition" proved="true">
  <proof prover="2"><result status="valid" time="0.12" steps="16267"/></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="2" timelimit="5"><result status="valid" time="0.07" steps="16935"/></proof>
   <proof prover="3" timelimit="5"><result status="valid" time="0.03" steps="105"/></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="2"><result status="valid" time="0.08" steps="16935"/></proof>
    <proof prover="3"><result status="valid" time="0.03" steps="105"/></proof>
    </goal>
    <goal name="wmpz_do_realloc&#39;vc.39.1.1" expl="apply premises" proved="true">
    <proof prover="2"><result status="valid" time="0.07" steps="16935"/></proof>
    <proof prover="3"><result status="valid" time="0.03" steps="105"/></proof>
    </goal>
   </transf>
   </goal>
  </transf>
  </goal>
  <goal name="wmpz_do_realloc&#39;vc.40" expl="postcondition" proved="true">
  <proof prover="2"><result status="valid" time="0.08" steps="14994"/></proof>
  </goal>
  <goal name="wmpz_do_realloc&#39;vc.41" expl="postcondition" proved="true">
  <proof prover="2"><result status="valid" time="0.08" steps="16532"/></proof>
  </goal>
  <goal name="wmpz_do_realloc&#39;vc.42" expl="postcondition" proved="true">
  <proof prover="2"><result status="valid" time="0.10" steps="15015"/></proof>
  </goal>
  <goal name="wmpz_do_realloc&#39;vc.43" expl="postcondition" proved="true">
  <proof prover="2"><result status="valid" time="0.07" steps="15240"/></proof>
  </goal>
  <goal name="wmpz_do_realloc&#39;vc.44" expl="postcondition" proved="true">
  <proof prover="2"><result status="valid" time="0.05" steps="15764"/></proof>
  </goal>
  <goal name="wmpz_do_realloc&#39;vc.45" expl="postcondition" proved="true">
  <proof prover="2"><result status="valid" time="0.08" steps="15879"/></proof>
  </goal>
  <goal name="wmpz_do_realloc&#39;vc.46" expl="postcondition" proved="true">
  <proof prover="2"><result status="valid" time="0.07" steps="15779"/></proof>
  </goal>
  <goal name="wmpz_do_realloc&#39;vc.47" expl="postcondition" proved="true">
  <proof prover="2"><result status="valid" time="0.06" steps="17249"/></proof>
  </goal>
  <goal name="wmpz_do_realloc&#39;vc.48" expl="postcondition" proved="true">
  <proof prover="2"><result status="valid" time="0.07" steps="15519"/></proof>
  </goal>
  <goal name="wmpz_do_realloc&#39;vc.49" expl="postcondition" proved="true">
  <proof prover="3"><result status="valid" time="0.05" steps="106"/></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="2"><result status="valid" time="0.07" steps="13653"/></proof>
  </goal>
  <goal name="wmpz_realloc&#39;vc.1" expl="precondition" proved="true">
  <proof prover="2"><result status="valid" time="0.07" steps="15244"/></proof>
  </goal>
  <goal name="wmpz_realloc&#39;vc.2" expl="precondition" proved="true">
  <proof prover="2"><result status="valid" time="0.05" steps="13699"/></proof>
  </goal>
  <goal name="wmpz_realloc&#39;vc.3" expl="precondition" proved="true">
  <proof prover="3"><result status="valid" time="0.01" steps="24"/></proof>
  </goal>
  <goal name="wmpz_realloc&#39;vc.4" expl="postcondition" proved="true">
  <proof prover="2"><result status="valid" time="0.10" steps="15834"/></proof>
  </goal>
  <goal name="wmpz_realloc&#39;vc.5" expl="postcondition" proved="true">
  <proof prover="2"><result status="valid" time="0.07" steps="14120"/></proof>
  </goal>
  <goal name="wmpz_realloc&#39;vc.6" expl="postcondition" proved="true">
  <proof prover="0"><result status="valid" time="0.03"/></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="2"><result status="valid" time="0.06" steps="14302"/></proof>
   </goal>
  </transf>
  </goal>
  <goal name="wmpz_realloc&#39;vc.8" expl="postcondition" proved="true">
  <proof prover="2"><result status="valid" time="0.08" steps="14812"/></proof>
  </goal>
  <goal name="wmpz_realloc&#39;vc.9" expl="postcondition" proved="true">
  <proof prover="2"><result status="valid" time="0.08" steps="15773"/></proof>
  </goal>
  <goal name="wmpz_realloc&#39;vc.10" expl="postcondition" proved="true">
  <proof prover="2"><result status="valid" time="0.08" steps="14832"/></proof>
  </goal>
  <goal name="wmpz_realloc&#39;vc.11" expl="postcondition" proved="true">
  <proof prover="2"><result status="valid" time="0.10" steps="16356"/></proof>
  </goal>
  <goal name="wmpz_realloc&#39;vc.12" expl="postcondition" proved="true">
  <proof prover="2"><result status="valid" time="0.13" steps="14577"/></proof>
  </goal>
  <goal name="wmpz_realloc&#39;vc.13" expl="postcondition" proved="true">
  <proof prover="2"><result status="valid" time="0.15" steps="19402"/></proof>
  </goal>
  <goal name="wmpz_realloc&#39;vc.14" expl="postcondition" proved="true">
  <proof prover="2"><result status="valid" time="0.08" steps="15538"/></proof>
  </goal>
  <goal name="wmpz_realloc&#39;vc.15" expl="postcondition" proved="true">
  <proof prover="2"><result status="valid" time="0.07" steps="15554"/></proof>
  </goal>
  <goal name="wmpz_realloc&#39;vc.16" expl="precondition" proved="true">
  <proof prover="2"><result status="valid" time="0.05" steps="13705"/></proof>
  </goal>
  <goal name="wmpz_realloc&#39;vc.17" expl="postcondition" proved="true">
  <proof prover="2"><result status="valid" time="0.08" steps="18599"/></proof>
  </goal>
  <goal name="wmpz_realloc&#39;vc.18" expl="postcondition" proved="true">
  <proof prover="2"><result status="valid" time="0.06" steps="14111"/></proof>
  </goal>
  <goal name="wmpz_realloc&#39;vc.19" expl="postcondition" proved="true">
  <proof prover="2"><result status="valid" time="0.08" steps="14121"/></proof>
  </goal>
  <goal name="wmpz_realloc&#39;vc.20" expl="postcondition" proved="true">
  <proof prover="2"><result status="valid" time="0.08" steps="14304"/></proof>
  </goal>
  <goal name="wmpz_realloc&#39;vc.21" expl="postcondition" proved="true">
  <proof prover="2"><result status="valid" time="0.08" steps="14815"/></proof>
  </goal>
  <goal name="wmpz_realloc&#39;vc.22" expl="postcondition" proved="true">
  <proof prover="2"><result status="valid" time="0.07" steps="14511"/></proof>
  </goal>
  <goal name="wmpz_realloc&#39;vc.23" expl="postcondition" proved="true">
  <proof prover="2"><result status="valid" time="0.08" steps="14827"/></proof>
  </goal>
  <goal name="wmpz_realloc&#39;vc.24" expl="postcondition" proved="true">
  <proof prover="2"><result status="valid" time="0.06" steps="15015"/></proof>
  </goal>
  <goal name="wmpz_realloc&#39;vc.25" expl="postcondition" proved="true">
  <proof prover="2"><result status="valid" time="0.12" steps="14564"/></proof>
  </goal>
  <goal name="wmpz_realloc&#39;vc.26" expl="postcondition" proved="true">
  <proof prover="2"><result status="valid" time="0.08" steps="15445"/></proof>
  </goal>
  <goal name="wmpz_realloc&#39;vc.27" expl="postcondition" proved="true">
  <proof prover="2"><result status="valid" time="0.08" steps="15487"/></proof>
  </goal>
  <goal name="wmpz_realloc&#39;vc.28" expl="postcondition" proved="true">
  <proof prover="2"><result status="valid" time="0.08" steps="15547"/></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="2" timelimit="5" memlimit="2000"><result status="valid" time="0.06" steps="14777"/></proof>
  </goal>
  <goal name="mpz_ptr_swap&#39;vc.1" expl="postcondition" proved="true">
  <proof prover="2" timelimit="5" memlimit="2000"><result status="valid" time="0.08" steps="14057"/></proof>
  </goal>
  <goal name="mpz_ptr_swap&#39;vc.2" expl="postcondition" proved="true">
  <proof prover="2" timelimit="5" memlimit="2000"><result status="valid" time="0.05" steps="14060"/></proof>
  </goal>
 </transf>
 </goal>
</theory>
</file>
</why3session>
