<?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="13260"/></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="14232"/></proof>
 </goal>
 <goal name="unchanged_transitive" proved="true">
 <proof prover="2"><result status="valid" time="0.08" steps="15548"/></proof>
 </goal>
 <goal name="abs&#39;vc" expl="VC for abs" proved="true">
 <proof prover="2"><result status="valid" time="0.08" steps="15494"/></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="11804"/></proof>
  </goal>
  <goal name="wmpz_do_realloc&#39;vc.1" expl="assertion" proved="true">
  <proof prover="2"><result status="valid" time="0.07" steps="16137"/></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="13709"/></proof>
  </goal>
  <goal name="wmpz_do_realloc&#39;vc.4" expl="precondition" proved="true">
  <proof prover="2"><result status="valid" time="0.07" steps="12884"/></proof>
  </goal>
  <goal name="wmpz_do_realloc&#39;vc.5" expl="precondition" proved="true">
  <proof prover="2"><result status="valid" time="0.05" steps="12893"/></proof>
  </goal>
  <goal name="wmpz_do_realloc&#39;vc.6" expl="precondition" proved="true">
  <proof prover="2"><result status="valid" time="0.06" steps="13081"/></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="12650"/></proof>
  </goal>
  <goal name="wmpz_do_realloc&#39;vc.9" expl="precondition" proved="true">
  <proof prover="3"><result status="valid" time="0.02" steps="71"/></proof>
  </goal>
  <goal name="wmpz_do_realloc&#39;vc.10" expl="precondition" proved="true">
  <proof prover="2"><result status="valid" time="0.12" steps="13951"/></proof>
  </goal>
  <goal name="wmpz_do_realloc&#39;vc.11" expl="precondition" proved="true">
  <proof prover="2"><result status="valid" time="0.11" steps="14137"/></proof>
  </goal>
  <goal name="wmpz_do_realloc&#39;vc.12" expl="precondition" proved="true">
  <proof prover="2"><result status="valid" time="0.07" steps="14340"/></proof>
  </goal>
  <goal name="wmpz_do_realloc&#39;vc.13" expl="precondition" proved="true">
  <proof prover="2"><result status="valid" time="0.12" steps="13712"/></proof>
  </goal>
  <goal name="wmpz_do_realloc&#39;vc.14" expl="precondition" proved="true">
  <proof prover="3"><result status="valid" time="0.01" steps="101"/></proof>
  </goal>
  <goal name="wmpz_do_realloc&#39;vc.15" expl="precondition" proved="true">
  <proof prover="2"><result status="valid" time="0.09" steps="13732"/></proof>
  </goal>
  <goal name="wmpz_do_realloc&#39;vc.16" expl="precondition" proved="true">
  <proof prover="2"><result status="valid" time="0.05" steps="13917"/></proof>
  </goal>
  <goal name="wmpz_do_realloc&#39;vc.17" expl="precondition" proved="true">
  <proof prover="3"><result status="valid" time="0.01" steps="101"/></proof>
  </goal>
  <goal name="wmpz_do_realloc&#39;vc.18" expl="precondition" proved="true">
  <proof prover="2"><result status="valid" time="0.05" steps="14548"/></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="15211"/></proof>
   <proof prover="3"><result status="valid" time="0.04" steps="117"/></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="15211"/></proof>
    <proof prover="3"><result status="valid" time="0.04" steps="117"/></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="15211"/></proof>
     <proof prover="3"><result status="valid" time="0.04" steps="117"/></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="15211"/></proof>
     <proof prover="3"><result status="valid" time="0.04" steps="117"/></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="13281"/></proof>
  </goal>
  <goal name="wmpz_do_realloc&#39;vc.21" expl="postcondition" proved="true">
  <proof prover="2"><result status="valid" time="0.12" steps="14811"/></proof>
  </goal>
  <goal name="wmpz_do_realloc&#39;vc.22" expl="postcondition" proved="true">
  <proof prover="2"><result status="valid" time="0.07" steps="13302"/></proof>
  </goal>
  <goal name="wmpz_do_realloc&#39;vc.23" expl="postcondition" proved="true">
  <proof prover="2"><result status="valid" time="0.08" steps="13523"/></proof>
  </goal>
  <goal name="wmpz_do_realloc&#39;vc.24" expl="postcondition" proved="true">
  <proof prover="2"><result status="valid" time="0.05" steps="14047"/></proof>
  </goal>
  <goal name="wmpz_do_realloc&#39;vc.25" expl="postcondition" proved="true">
  <proof prover="2"><result status="valid" time="0.05" steps="14162"/></proof>
  </goal>
  <goal name="wmpz_do_realloc&#39;vc.26" expl="postcondition" proved="true">
  <proof prover="2"><result status="valid" time="0.08" steps="14062"/></proof>
  </goal>
  <goal name="wmpz_do_realloc&#39;vc.27" expl="postcondition" proved="true">
  <proof prover="3"><result status="valid" time="0.03" steps="114"/></proof>
  </goal>
  <goal name="wmpz_do_realloc&#39;vc.28" expl="postcondition" proved="true">
  <proof prover="2"><result status="valid" time="0.07" steps="13802"/></proof>
  </goal>
  <goal name="wmpz_do_realloc&#39;vc.29" expl="postcondition" proved="true">
  <proof prover="2"><result status="valid" time="0.08" steps="14935"/></proof>
  </goal>
  <goal name="wmpz_do_realloc&#39;vc.30" expl="precondition" proved="true">
  <proof prover="3"><result status="valid" time="0.10" steps="265"/></proof>
  </goal>
  <goal name="wmpz_do_realloc&#39;vc.31" expl="precondition" proved="true">
  <proof prover="2"><result status="valid" time="0.16" steps="14067"/></proof>
  </goal>
  <goal name="wmpz_do_realloc&#39;vc.32" expl="precondition" proved="true">
  <proof prover="2"><result status="valid" time="0.10" steps="14021"/></proof>
  </goal>
  <goal name="wmpz_do_realloc&#39;vc.33" expl="precondition" proved="true">
  <proof prover="2"><result status="valid" time="0.07" steps="13579"/></proof>
  </goal>
  <goal name="wmpz_do_realloc&#39;vc.34" expl="precondition" proved="true">
  <proof prover="2"><result status="valid" time="0.06" steps="13317"/></proof>
  </goal>
  <goal name="wmpz_do_realloc&#39;vc.35" expl="precondition" proved="true">
  <proof prover="2"><result status="valid" time="0.07" steps="13599"/></proof>
  </goal>
  <goal name="wmpz_do_realloc&#39;vc.36" expl="precondition" proved="true">
  <proof prover="2"><result status="valid" time="0.12" steps="13784"/></proof>
  </goal>
  <goal name="wmpz_do_realloc&#39;vc.37" expl="precondition" proved="true">
  <proof prover="2"><result status="valid" time="0.06" steps="14593"/></proof>
  </goal>
  <goal name="wmpz_do_realloc&#39;vc.38" expl="precondition" proved="true">
  <proof prover="2"><result status="valid" time="0.12" steps="14354"/></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="14990"/></proof>
   <proof prover="3" timelimit="5"><result status="valid" time="0.03" steps="107"/></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="14990"/></proof>
    <proof prover="3"><result status="valid" time="0.03" steps="107"/></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="14990"/></proof>
    <proof prover="3"><result status="valid" time="0.03" steps="107"/></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="13176"/></proof>
  </goal>
  <goal name="wmpz_do_realloc&#39;vc.41" expl="postcondition" proved="true">
  <proof prover="2"><result status="valid" time="0.08" steps="14619"/></proof>
  </goal>
  <goal name="wmpz_do_realloc&#39;vc.42" expl="postcondition" proved="true">
  <proof prover="2"><result status="valid" time="0.10" steps="13197"/></proof>
  </goal>
  <goal name="wmpz_do_realloc&#39;vc.43" expl="postcondition" proved="true">
  <proof prover="2"><result status="valid" time="0.07" steps="13390"/></proof>
  </goal>
  <goal name="wmpz_do_realloc&#39;vc.44" expl="postcondition" proved="true">
  <proof prover="2"><result status="valid" time="0.05" steps="13914"/></proof>
  </goal>
  <goal name="wmpz_do_realloc&#39;vc.45" expl="postcondition" proved="true">
  <proof prover="2"><result status="valid" time="0.08" steps="14029"/></proof>
  </goal>
  <goal name="wmpz_do_realloc&#39;vc.46" expl="postcondition" proved="true">
  <proof prover="2"><result status="valid" time="0.07" steps="13929"/></proof>
  </goal>
  <goal name="wmpz_do_realloc&#39;vc.47" expl="postcondition" proved="true">
  <proof prover="2"><result status="valid" time="0.06" steps="15304"/></proof>
  </goal>
  <goal name="wmpz_do_realloc&#39;vc.48" expl="postcondition" proved="true">
  <proof prover="2"><result status="valid" time="0.07" steps="13669"/></proof>
  </goal>
  <goal name="wmpz_do_realloc&#39;vc.49" expl="postcondition" proved="true">
  <proof prover="3"><result status="valid" time="0.05" steps="108"/></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="11812"/></proof>
  </goal>
  <goal name="wmpz_realloc&#39;vc.1" expl="precondition" proved="true">
  <proof prover="2"><result status="valid" time="0.07" steps="13274"/></proof>
  </goal>
  <goal name="wmpz_realloc&#39;vc.2" expl="precondition" proved="true">
  <proof prover="2"><result status="valid" time="0.05" steps="11858"/></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="13864"/></proof>
  </goal>
  <goal name="wmpz_realloc&#39;vc.5" expl="postcondition" proved="true">
  <proof prover="2"><result status="valid" time="0.07" steps="12279"/></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="12429"/></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="12939"/></proof>
  </goal>
  <goal name="wmpz_realloc&#39;vc.9" expl="postcondition" proved="true">
  <proof prover="2"><result status="valid" time="0.08" steps="13835"/></proof>
  </goal>
  <goal name="wmpz_realloc&#39;vc.10" expl="postcondition" proved="true">
  <proof prover="2"><result status="valid" time="0.08" steps="12959"/></proof>
  </goal>
  <goal name="wmpz_realloc&#39;vc.11" expl="postcondition" proved="true">
  <proof prover="2"><result status="valid" time="0.10" steps="14386"/></proof>
  </goal>
  <goal name="wmpz_realloc&#39;vc.12" expl="postcondition" proved="true">
  <proof prover="2"><result status="valid" time="0.13" steps="12704"/></proof>
  </goal>
  <goal name="wmpz_realloc&#39;vc.13" expl="postcondition" proved="true">
  <proof prover="2"><result status="valid" time="0.15" steps="17160"/></proof>
  </goal>
  <goal name="wmpz_realloc&#39;vc.14" expl="postcondition" proved="true">
  <proof prover="2"><result status="valid" time="0.08" steps="13600"/></proof>
  </goal>
  <goal name="wmpz_realloc&#39;vc.15" expl="postcondition" proved="true">
  <proof prover="2"><result status="valid" time="0.07" steps="13616"/></proof>
  </goal>
  <goal name="wmpz_realloc&#39;vc.16" expl="precondition" proved="true">
  <proof prover="2"><result status="valid" time="0.05" steps="11864"/></proof>
  </goal>
  <goal name="wmpz_realloc&#39;vc.17" expl="postcondition" proved="true">
  <proof prover="2"><result status="valid" time="0.08" steps="16374"/></proof>
  </goal>
  <goal name="wmpz_realloc&#39;vc.18" expl="postcondition" proved="true">
  <proof prover="2"><result status="valid" time="0.06" steps="12270"/></proof>
  </goal>
  <goal name="wmpz_realloc&#39;vc.19" expl="postcondition" proved="true">
  <proof prover="2"><result status="valid" time="0.08" steps="12280"/></proof>
  </goal>
  <goal name="wmpz_realloc&#39;vc.20" expl="postcondition" proved="true">
  <proof prover="2"><result status="valid" time="0.08" steps="12431"/></proof>
  </goal>
  <goal name="wmpz_realloc&#39;vc.21" expl="postcondition" proved="true">
  <proof prover="2"><result status="valid" time="0.08" steps="12942"/></proof>
  </goal>
  <goal name="wmpz_realloc&#39;vc.22" expl="postcondition" proved="true">
  <proof prover="2"><result status="valid" time="0.07" steps="12670"/></proof>
  </goal>
  <goal name="wmpz_realloc&#39;vc.23" expl="postcondition" proved="true">
  <proof prover="2"><result status="valid" time="0.08" steps="12954"/></proof>
  </goal>
  <goal name="wmpz_realloc&#39;vc.24" expl="postcondition" proved="true">
  <proof prover="2"><result status="valid" time="0.06" steps="13142"/></proof>
  </goal>
  <goal name="wmpz_realloc&#39;vc.25" expl="postcondition" proved="true">
  <proof prover="2"><result status="valid" time="0.12" steps="12691"/></proof>
  </goal>
  <goal name="wmpz_realloc&#39;vc.26" expl="postcondition" proved="true">
  <proof prover="2"><result status="valid" time="0.08" steps="13507"/></proof>
  </goal>
  <goal name="wmpz_realloc&#39;vc.27" expl="postcondition" proved="true">
  <proof prover="2"><result status="valid" time="0.08" steps="13549"/></proof>
  </goal>
  <goal name="wmpz_realloc&#39;vc.28" expl="postcondition" proved="true">
  <proof prover="2"><result status="valid" time="0.08" steps="13609"/></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="13066"/></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="12407"/></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="12410"/></proof>
  </goal>
 </transf>
 </goal>
</theory>
</file>
</why3session>
