<?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="CVC5" version="1.0.5" timelimit="5" steplimit="0" memlimit="1000"/>
<prover id="1" name="Alt-Ergo" version="2.0.0" timelimit="1" steplimit="0" memlimit="1000"/>
<file format="whyml" proved="true">
<path name=".."/><path name="matrices_ring_simp.mlw"/>
<theory name="Symb" proved="true">
 <goal name="LOCAL.l_mdl_ok&#39;vc" expl="VC for l_mdl_ok" proved="true">
 <proof prover="1"><result status="valid" time="0.030000" steps="112"/></proof>
 </goal>
 <goal name="LOCAL.m_mdl_ok&#39;vc" expl="VC for m_mdl_ok" proved="true">
 <proof prover="1"><result status="valid" time="0.020000" steps="39"/></proof>
 </goal>
 <goal name="LOCAL.lm_mdl_ok&#39;vc" expl="VC for lm_mdl_ok" proved="true">
 <proof prover="1"><result status="valid" time="0.030000" steps="122"/></proof>
 </goal>
 <goal name="LOCAL.lm_mdl_same&#39;vc" expl="VC for lm_mdl_same" proved="true">
 <proof prover="1"><result status="valid" time="0.060000" steps="179"/></proof>
 </goal>
 <goal name="LOCAL.l_compare_zero&#39;vc" expl="VC for l_compare_zero" proved="true">
 <proof prover="1"><result status="valid" time="0.010000" steps="83"/></proof>
 </goal>
 <goal name="LOCAL.m_collapse_ok&#39;vc" expl="VC for m_collapse_ok" proved="true">
 <proof prover="0"><result status="valid" time="0.110000" steps="17687"/></proof>
 </goal>
 <goal name="LOCAL.lm_collapse_ok&#39;vc" expl="VC for lm_collapse_ok" proved="true">
 <proof prover="1"><result status="valid" time="0.130000" steps="382"/></proof>
 </goal>
 <goal name="LOCAL.cat_rev_ok&#39;vc" expl="VC for cat_rev_ok" proved="true">
 <proof prover="1"><result status="valid" time="0.100000" steps="295"/></proof>
 </goal>
 <goal name="LOCAL.lm_dump_ok&#39;vc" expl="VC for lm_dump_ok" proved="true">
 <proof prover="1"><result status="valid" time="0.210000" steps="581"/></proof>
 </goal>
 <goal name="LOCAL.lm_merge_ok&#39;vc" expl="VC for lm_merge_ok" proved="true">
 <proof prover="1" timelimit="5"><result status="valid" time="2.650000" steps="4960"/></proof>
 </goal>
 <goal name="LOCAL.cat_ok&#39;vc" expl="VC for cat_ok" proved="true">
 <proof prover="1"><result status="valid" time="0.160000" steps="490"/></proof>
 </goal>
 <goal name="LOCAL.m_mul_ok&#39;vc" expl="VC for m_mul_ok" proved="true">
 <proof prover="1"><result status="valid" time="0.090000" steps="267"/></proof>
 </goal>
 <goal name="LOCAL.m_distribute_ok&#39;vc" expl="VC for m_distribute_ok" proved="true">
 <proof prover="1"><result status="valid" time="0.110000" steps="364"/></proof>
 </goal>
 <goal name="LOCAL.lm_distribute_ok&#39;vc" expl="VC for lm_distribute_ok" proved="true">
 <proof prover="1"><result status="valid" time="0.170000" steps="772"/></proof>
 </goal>
 <goal name="LOCAL.lm_opp_ok&#39;vc" expl="VC for lm_opp_ok" proved="true">
 <proof prover="1" timelimit="5"><result status="valid" time="1.916256" steps="3039"/></proof>
 </goal>
 <goal name="extends_rw" proved="true">
 <proof prover="1"><result status="valid" time="0.010000" steps="4"/></proof>
 </goal>
 <goal name="symb_env&#39;vc" expl="VC for symb_env" proved="true">
 <proof prover="1"><result status="valid" time="0.010000" steps="4"/></proof>
 </goal>
 <goal name="symb_reg&#39;vc" expl="VC for symb_reg" proved="true">
 <proof prover="1"><result status="valid" time="0.020000" steps="66"/></proof>
 </goal>
 <goal name="symb_opp&#39;vc" expl="VC for symb_opp" proved="true">
 <proof prover="1"><result status="valid" time="0.010000" steps="37"/></proof>
 </goal>
 <goal name="symb_add&#39;vc" expl="VC for symb_add" proved="true">
 <proof prover="1"><result status="valid" time="0.040000" steps="171"/></proof>
 </goal>
 <goal name="symb_sub&#39;vc" expl="VC for symb_sub" proved="true">
 <proof prover="1"><result status="valid" time="0.020000" steps="52"/></proof>
 </goal>
 <goal name="symb_mul&#39;vc" expl="VC for symb_mul" proved="true">
 <proof prover="1"><result status="valid" time="0.020000" steps="70"/></proof>
 </goal>
 <goal name="harness&#39;vc" expl="VC for harness" proved="true">
 <transf name="split_goal_right" proved="true" >
  <goal name="harness&#39;vc.0" expl="precondition" proved="true">
  <transf name="compute_specified" proved="true" >
   <goal name="harness&#39;vc.0.0" expl="precondition" proved="true">
   <transf name="introduce_premises" proved="true" >
    <goal name="harness&#39;vc.0.0.0" expl="precondition" proved="true">
    <transf name="compute_specified" proved="true" >
     <goal name="harness&#39;vc.0.0.0.0" expl="precondition" proved="true">
     <proof prover="1"><result status="valid" time="0.020000" steps="61"/></proof>
     </goal>
    </transf>
    </goal>
   </transf>
   </goal>
  </transf>
  </goal>
  <goal name="harness&#39;vc.1" expl="precondition" proved="true">
  <proof prover="1"><result status="valid" time="0.030000" steps="141"/></proof>
  </goal>
  <goal name="harness&#39;vc.2" expl="precondition" proved="true">
  <transf name="compute_specified" proved="true" >
   <goal name="harness&#39;vc.2.0" expl="precondition" proved="true">
   <transf name="introduce_premises" proved="true" >
    <goal name="harness&#39;vc.2.0.0" expl="precondition" proved="true">
    <transf name="compute_specified" proved="true" >
     <goal name="harness&#39;vc.2.0.0.0" expl="precondition" proved="true">
     <proof prover="1"><result status="valid" time="0.030000" steps="65"/></proof>
     </goal>
    </transf>
    </goal>
   </transf>
   </goal>
  </transf>
  </goal>
  <goal name="harness&#39;vc.3" expl="precondition" proved="true">
  <proof prover="1"><result status="valid" time="0.040000" steps="166"/></proof>
  </goal>
  <goal name="harness&#39;vc.4" expl="precondition" proved="true">
  <proof prover="1"><result status="valid" time="0.010000" steps="41"/></proof>
  </goal>
  <goal name="harness&#39;vc.5" expl="precondition" proved="true">
  <proof prover="1"><result status="valid" time="0.020000" steps="114"/></proof>
  </goal>
  <goal name="harness&#39;vc.6" expl="precondition" proved="true">
  <transf name="compute_specified" proved="true" >
   <goal name="harness&#39;vc.6.0" expl="precondition" proved="true">
   <transf name="introduce_premises" proved="true" >
    <goal name="harness&#39;vc.6.0.0" expl="precondition" proved="true">
    <transf name="compute_specified" proved="true" >
     <goal name="harness&#39;vc.6.0.0.0" expl="precondition" proved="true">
     <proof prover="1"><result status="valid" time="0.040000" steps="73"/></proof>
     </goal>
    </transf>
    </goal>
   </transf>
   </goal>
  </transf>
  </goal>
  <goal name="harness&#39;vc.7" expl="precondition" proved="true">
  <proof prover="1"><result status="valid" time="0.060000" steps="192"/></proof>
  </goal>
  <goal name="harness&#39;vc.8" expl="precondition" proved="true">
  <transf name="compute_specified" proved="true" >
   <goal name="harness&#39;vc.8.0" expl="precondition" proved="true">
   <transf name="introduce_premises" proved="true" >
    <goal name="harness&#39;vc.8.0.0" expl="precondition" proved="true">
    <transf name="compute_specified" proved="true" >
     <goal name="harness&#39;vc.8.0.0.0" expl="precondition" proved="true">
     <proof prover="1"><result status="valid" time="0.040000" steps="76"/></proof>
     </goal>
    </transf>
    </goal>
   </transf>
   </goal>
  </transf>
  </goal>
  <goal name="harness&#39;vc.9" expl="precondition" proved="true">
  <proof prover="1"><result status="valid" time="0.060000" steps="200"/></proof>
  </goal>
  <goal name="harness&#39;vc.10" expl="precondition" proved="true">
  <transf name="compute_specified" proved="true" >
   <goal name="harness&#39;vc.10.0" expl="precondition" proved="true">
   <transf name="introduce_premises" proved="true" >
    <goal name="harness&#39;vc.10.0.0" expl="precondition" proved="true">
    <transf name="compute_specified" proved="true" >
     <goal name="harness&#39;vc.10.0.0.0" expl="precondition" proved="true">
     <proof prover="1"><result status="valid" time="0.040000" steps="80"/></proof>
     </goal>
    </transf>
    </goal>
   </transf>
   </goal>
  </transf>
  </goal>
  <goal name="harness&#39;vc.11" expl="precondition" proved="true">
  <proof prover="1"><result status="valid" time="0.050000" steps="217"/></proof>
  </goal>
  <goal name="harness&#39;vc.12" expl="precondition" proved="true">
  <proof prover="1"><result status="valid" time="0.020000" steps="53"/></proof>
  </goal>
  <goal name="harness&#39;vc.13" expl="precondition" proved="true">
  <proof prover="1"><result status="valid" time="0.040000" steps="150"/></proof>
  </goal>
  <goal name="harness&#39;vc.14" expl="precondition" proved="true">
  <transf name="compute_specified" proved="true" >
   <goal name="harness&#39;vc.14.0" expl="precondition" proved="true">
   <transf name="introduce_premises" proved="true" >
    <goal name="harness&#39;vc.14.0.0" expl="precondition" proved="true">
    <transf name="compute_specified" proved="true" >
     <goal name="harness&#39;vc.14.0.0.0" expl="precondition" proved="true">
     <proof prover="1"><result status="valid" time="0.060000" steps="88"/></proof>
     </goal>
    </transf>
    </goal>
   </transf>
   </goal>
  </transf>
  </goal>
  <goal name="harness&#39;vc.15" expl="precondition" proved="true">
  <proof prover="1"><result status="valid" time="0.060000" steps="231"/></proof>
  </goal>
  <goal name="harness&#39;vc.16" expl="precondition" proved="true">
  <transf name="compute_specified" proved="true" >
   <goal name="harness&#39;vc.16.0" expl="precondition" proved="true">
   <transf name="introduce_premises" proved="true" >
    <goal name="harness&#39;vc.16.0.0" expl="precondition" proved="true">
    <transf name="compute_specified" proved="true" >
     <goal name="harness&#39;vc.16.0.0.0" expl="precondition" proved="true">
     <proof prover="1"><result status="valid" time="0.060000" steps="92"/></proof>
     </goal>
    </transf>
    </goal>
   </transf>
   </goal>
  </transf>
  </goal>
  <goal name="harness&#39;vc.17" expl="precondition" proved="true">
  <proof prover="1"><result status="valid" time="0.070000" steps="254"/></proof>
  </goal>
  <goal name="harness&#39;vc.18" expl="precondition" proved="true">
  <proof prover="1"><result status="valid" time="0.020000" steps="62"/></proof>
  </goal>
  <goal name="harness&#39;vc.19" expl="precondition" proved="true">
  <proof prover="1"><result status="valid" time="0.080000" steps="268"/></proof>
  </goal>
  <goal name="harness&#39;vc.20" expl="precondition" proved="true">
  <proof prover="1"><result status="valid" time="0.020000" steps="65"/></proof>
  </goal>
  <goal name="harness&#39;vc.21" expl="precondition" proved="true">
  <proof prover="1"><result status="valid" time="0.130000" steps="352"/></proof>
  </goal>
  <goal name="harness&#39;vc.22" expl="precondition" proved="true">
  <proof prover="1"><result status="valid" time="0.020000" steps="68"/></proof>
  </goal>
  <goal name="harness&#39;vc.23" expl="precondition" proved="true">
  <proof prover="1"><result status="valid" time="0.080000" steps="268"/></proof>
  </goal>
  <goal name="harness&#39;vc.24" expl="precondition" proved="true">
  <proof prover="1"><result status="valid" time="0.020000" steps="71"/></proof>
  </goal>
  <goal name="harness&#39;vc.25" expl="precondition" proved="true">
  <proof prover="1"><result status="valid" time="0.290000" steps="692"/></proof>
  </goal>
  <goal name="harness&#39;vc.26" expl="precondition" proved="true">
  <transf name="compute_specified" proved="true" >
   <goal name="harness&#39;vc.26.0" expl="precondition" proved="true">
   <transf name="introduce_premises" proved="true" >
    <goal name="harness&#39;vc.26.0.0" expl="precondition" proved="true">
    <transf name="compute_specified" proved="true" >
     <goal name="harness&#39;vc.26.0.0.0" expl="precondition" proved="true">
     <proof prover="1"><result status="valid" time="0.080000" steps="110"/></proof>
     </goal>
    </transf>
    </goal>
   </transf>
   </goal>
  </transf>
  </goal>
  <goal name="harness&#39;vc.27" expl="precondition" proved="true">
  <proof prover="1"><result status="valid" time="0.040000" steps="223"/></proof>
  </goal>
  <goal name="harness&#39;vc.28" expl="precondition" proved="true">
  <transf name="compute_specified" proved="true" >
   <goal name="harness&#39;vc.28.0" expl="precondition" proved="true">
   <transf name="introduce_premises" proved="true" >
    <goal name="harness&#39;vc.28.0.0" expl="precondition" proved="true">
    <transf name="compute_specified" proved="true" >
     <goal name="harness&#39;vc.28.0.0.0" expl="precondition" proved="true">
     <proof prover="1"><result status="valid" time="0.110000" steps="114"/></proof>
     </goal>
    </transf>
    </goal>
   </transf>
   </goal>
  </transf>
  </goal>
  <goal name="harness&#39;vc.29" expl="precondition" proved="true">
  <proof prover="1"><result status="valid" time="0.040000" steps="232"/></proof>
  </goal>
  <goal name="harness&#39;vc.30" expl="precondition" proved="true">
  <proof prover="1"><result status="valid" time="0.020000" steps="80"/></proof>
  </goal>
  <goal name="harness&#39;vc.31" expl="precondition" proved="true">
  <proof prover="1"><result status="valid" time="0.080000" steps="316"/></proof>
  </goal>
  <goal name="harness&#39;vc.32" expl="assertion" proved="true">
  <transf name="compute_specified" proved="true" >
   <goal name="harness&#39;vc.32.0" expl="assertion" proved="true">
   <transf name="introduce_premises" proved="true" >
    <goal name="harness&#39;vc.32.0.0" expl="assertion" proved="true">
    <transf name="compute_specified" proved="true" >
    </transf>
    </goal>
   </transf>
   </goal>
  </transf>
  </goal>
 </transf>
 </goal>
</theory>
</file>
</why3session>
