why3/examples/decrease1/why3session.xml

<?xml version="1.0" encoding="UTF-8"?>
<!DOCTYPE why3session PUBLIC "-//Why3//proof session v5//EN"
"http://why3.lri.fr/why3session.dtd">
<why3session shape_version="4">
<prover id="0" name="CVC4" version="1.2" timelimit="5" memlimit="1000"/>
<prover id="1" name="Coq" version="8.4pl4" timelimit="10" memlimit="0"/>
<prover id="2" name="CVC3" version="2.4.1" timelimit="5" memlimit="1000"/>
<prover id="4" name="Z3" version="2.19" timelimit="10" memlimit="0"/>
<prover id="5" name="CVC3" version="2.2" timelimit="10" memlimit="0"/>
<prover id="6" name="Z3" version="4.3.1" timelimit="5" memlimit="1000"/>
<prover id="7" name="Z3" version="3.2" timelimit="5" memlimit="1000"/>
<prover id="8" name="Alt-Ergo" version="0.99.1" timelimit="5" memlimit="1000"/>
<file name="../decrease1.mlw" expanded="true">
<theory name="Decrease1" sum="7c49cfeea622335075ec3d6212620b2b" expanded="true">
 <goal name="decrease1_induction" expanded="true">
 <proof prover="1" edited="decrease1_Decrease1_decrease1_induction_2.v"><result status="valid" time="1.10"/></proof>
 </goal>
 <goal name="WP_parameter search" expl="VC for search" expanded="true">
 <transf name="split_goal_wp" expanded="true">
  <goal name="WP_parameter search.1" expl="1. loop invariant init" expanded="true">
  <proof prover="2"><result status="valid" time="0.00"/></proof>
  <proof prover="6"><result status="valid" time="0.00"/></proof>
  <proof prover="7"><result status="valid" time="0.00"/></proof>
  <proof prover="8"><result status="valid" time="0.00" steps="2"/></proof>
  </goal>
  <goal name="WP_parameter search.2" expl="2. loop invariant init" expanded="true">
  <proof prover="2"><result status="valid" time="0.00"/></proof>
  <proof prover="4"><result status="valid" time="0.00"/></proof>
  <proof prover="5"><result status="valid" time="0.01"/></proof>
  <proof prover="6"><result status="valid" time="0.00"/></proof>
  <proof prover="7"><result status="valid" time="0.00"/></proof>
  <proof prover="8"><result status="valid" time="0.00" steps="4"/></proof>
  </goal>
  <goal name="WP_parameter search.3" expl="3. index in array bounds" expanded="true">
  <proof prover="2"><result status="valid" time="0.00"/></proof>
  <proof prover="4"><result status="valid" time="0.01"/></proof>
  <proof prover="5"><result status="valid" time="0.01"/></proof>
  <proof prover="6"><result status="valid" time="0.03"/></proof>
  <proof prover="7"><result status="valid" time="0.02"/></proof>
  <proof prover="8"><result status="valid" time="0.01" steps="4"/></proof>
  </goal>
  <goal name="WP_parameter search.4" expl="4. postcondition" expanded="true">
  <proof prover="2"><result status="valid" time="0.02"/></proof>
  <proof prover="4"><result status="valid" time="0.03"/></proof>
  <proof prover="5"><result status="valid" time="0.01"/></proof>
  <proof prover="6"><result status="valid" time="0.02"/></proof>
  <proof prover="7"><result status="valid" time="0.02"/></proof>
  <proof prover="8"><result status="valid" time="0.01" steps="9"/></proof>
  </goal>
  <goal name="WP_parameter search.5" expl="5. index in array bounds" expanded="true">
  <proof prover="2"><result status="valid" time="0.01"/></proof>
  <proof prover="4"><result status="valid" time="0.00"/></proof>
  <proof prover="5"><result status="valid" time="0.01"/></proof>
  <proof prover="6"><result status="valid" time="0.00"/></proof>
  <proof prover="7"><result status="valid" time="0.00"/></proof>
  <proof prover="8"><result status="valid" time="0.01" steps="5"/></proof>
  </goal>
  <goal name="WP_parameter search.6" expl="6. index in array bounds" expanded="true">
  <proof prover="2"><result status="valid" time="0.01"/></proof>
  <proof prover="4"><result status="valid" time="0.00"/></proof>
  <proof prover="5"><result status="valid" time="0.01"/></proof>
  <proof prover="6"><result status="valid" time="0.00"/></proof>
  <proof prover="7"><result status="valid" time="0.00"/></proof>
  <proof prover="8"><result status="valid" time="0.01" steps="6"/></proof>
  </goal>
  <goal name="WP_parameter search.7" expl="7. loop invariant preservation" expanded="true">
  <proof prover="2"><result status="valid" time="0.02"/></proof>
  <proof prover="6"><result status="valid" time="0.03"/></proof>
  <proof prover="7"><result status="valid" time="0.02"/></proof>
  <proof prover="8"><result status="valid" time="0.01" steps="7"/></proof>
  </goal>
  <goal name="WP_parameter search.8" expl="8. loop invariant preservation" expanded="true">
  <proof prover="4"><result status="valid" time="0.02"/></proof>
  <proof prover="6"><result status="valid" time="0.00"/></proof>
  <proof prover="7"><result status="valid" time="0.09"/></proof>
  </goal>
  <goal name="WP_parameter search.9" expl="9. loop variant decrease" expanded="true">
  <proof prover="2"><result status="valid" time="0.02"/></proof>
  <proof prover="4"><result status="valid" time="0.02"/></proof>
  <proof prover="5"><result status="valid" time="0.01"/></proof>
  <proof prover="6"><result status="valid" time="0.02"/></proof>
  <proof prover="7"><result status="valid" time="0.02"/></proof>
  <proof prover="8"><result status="valid" time="0.00" steps="7"/></proof>
  </goal>
  <goal name="WP_parameter search.10" expl="10. loop invariant preservation" expanded="true">
  <proof prover="2"><result status="valid" time="0.01"/></proof>
  <proof prover="6"><result status="valid" time="0.02"/></proof>
  <proof prover="7"><result status="valid" time="0.02"/></proof>
  <proof prover="8"><result status="valid" time="0.00" steps="7"/></proof>
  </goal>
  <goal name="WP_parameter search.11" expl="11. loop invariant preservation" expanded="true">
  <proof prover="2"><result status="valid" time="0.02"/></proof>
  <proof prover="6"><result status="valid" time="0.02"/></proof>
  <proof prover="7"><result status="valid" time="0.02"/></proof>
  <proof prover="8"><result status="valid" time="0.02" steps="12"/></proof>
  </goal>
  <goal name="WP_parameter search.12" expl="12. loop variant decrease" expanded="true">
  <proof prover="2"><result status="valid" time="0.01"/></proof>
  <proof prover="4"><result status="valid" time="0.02"/></proof>
  <proof prover="5"><result status="valid" time="0.01"/></proof>
  <proof prover="6"><result status="valid" time="0.03"/></proof>
  <proof prover="7"><result status="valid" time="0.02"/></proof>
  <proof prover="8"><result status="valid" time="0.01" steps="7"/></proof>
  </goal>
  <goal name="WP_parameter search.13" expl="13. postcondition" expanded="true">
  <proof prover="2"><result status="valid" time="0.01"/></proof>
  <proof prover="4"><result status="valid" time="0.02"/></proof>
  <proof prover="5"><result status="valid" time="0.01"/></proof>
  <proof prover="6"><result status="valid" time="0.02"/></proof>
  <proof prover="7"><result status="valid" time="0.02"/></proof>
  <proof prover="8"><result status="valid" time="0.00" steps="9"/></proof>
  </goal>
 </transf>
 </goal>
 <goal name="WP_parameter search_rec" expl="VC for search_rec" expanded="true">
 <transf name="split_goal_wp" expanded="true">
  <goal name="WP_parameter search_rec.1" expl="1. index in array bounds" expanded="true">
  <proof prover="2"><result status="valid" time="0.01"/></proof>
  <proof prover="4"><result status="valid" time="0.02"/></proof>
  <proof prover="5"><result status="valid" time="0.01"/></proof>
  <proof prover="6"><result status="valid" time="0.02"/></proof>
  <proof prover="7"><result status="valid" time="0.02"/></proof>
  <proof prover="8"><result status="valid" time="0.01" steps="4"/></proof>
  </goal>
  <goal name="WP_parameter search_rec.2" expl="2. postcondition" expanded="true">
  <proof prover="2"><result status="valid" time="0.02"/></proof>
  <proof prover="4"><result status="valid" time="0.01"/></proof>
  <proof prover="5"><result status="valid" time="0.01"/></proof>
  <proof prover="6"><result status="valid" time="0.02"/></proof>
  <proof prover="7"><result status="valid" time="0.02"/></proof>
  <proof prover="8"><result status="valid" time="0.00" steps="8"/></proof>
  </goal>
  <goal name="WP_parameter search_rec.3" expl="3. index in array bounds" expanded="true">
  <proof prover="2"><result status="valid" time="0.01"/></proof>
  <proof prover="4"><result status="valid" time="0.00"/></proof>
  <proof prover="5"><result status="valid" time="0.00"/></proof>
  <proof prover="6"><result status="valid" time="0.00"/></proof>
  <proof prover="7"><result status="valid" time="0.00"/></proof>
  <proof prover="8"><result status="valid" time="0.01" steps="5"/></proof>
  </goal>
  <goal name="WP_parameter search_rec.4" expl="4. index in array bounds" expanded="true">
  <proof prover="2"><result status="valid" time="0.00"/></proof>
  <proof prover="4"><result status="valid" time="0.00"/></proof>
  <proof prover="5"><result status="valid" time="0.00"/></proof>
  <proof prover="6"><result status="valid" time="0.00"/></proof>
  <proof prover="7"><result status="valid" time="0.00"/></proof>
  <proof prover="8"><result status="valid" time="0.00" steps="6"/></proof>
  </goal>
  <goal name="WP_parameter search_rec.5" expl="5. variant decrease">
  <proof prover="8"><result status="valid" time="0.02" steps="6"/></proof>
  </goal>
  <goal name="WP_parameter search_rec.6" expl="6. precondition" expanded="true">
  <proof prover="2"><result status="valid" time="0.00"/></proof>
  <proof prover="4"><result status="valid" time="0.02"/></proof>
  <proof prover="5"><result status="valid" time="0.01"/></proof>
  <proof prover="6"><result status="valid" time="0.03"/></proof>
  <proof prover="7"><result status="valid" time="0.02"/></proof>
  <proof prover="8"><result status="valid" time="0.01" steps="6"/></proof>
  </goal>
  <goal name="WP_parameter search_rec.7" expl="7. postcondition" expanded="true">
  <proof prover="0"><result status="valid" time="0.04"/></proof>
  <proof prover="7"><result status="valid" time="0.05"/></proof>
  </goal>
  <goal name="WP_parameter search_rec.8" expl="8. variant decrease">
  <proof prover="8"><result status="valid" time="0.03" steps="6"/></proof>
  </goal>
  <goal name="WP_parameter search_rec.9" expl="9. precondition" expanded="true">
  <proof prover="2"><result status="valid" time="0.01"/></proof>
  <proof prover="4"><result status="valid" time="0.02"/></proof>
  <proof prover="5"><result status="valid" time="0.01"/></proof>
  <proof prover="6"><result status="valid" time="0.01"/></proof>
  <proof prover="7"><result status="valid" time="0.02"/></proof>
  <proof prover="8"><result status="valid" time="0.01" steps="6"/></proof>
  </goal>
  <goal name="WP_parameter search_rec.10" expl="10. postcondition" expanded="true">
  <proof prover="2"><result status="valid" time="0.01"/></proof>
  <proof prover="6"><result status="valid" time="0.01"/></proof>
  <proof prover="7"><result status="valid" time="0.02"/></proof>
  <proof prover="8"><result status="valid" time="0.01" steps="42"/></proof>
  </goal>
  <goal name="WP_parameter search_rec.11" expl="11. postcondition" expanded="true">
  <proof prover="2"><result status="valid" time="0.02"/></proof>
  <proof prover="4"><result status="valid" time="0.03"/></proof>
  <proof prover="5"><result status="valid" time="0.01"/></proof>
  <proof prover="6"><result status="valid" time="0.02"/></proof>
  <proof prover="7"><result status="valid" time="0.02"/></proof>
  <proof prover="8"><result status="valid" time="0.02" steps="6"/></proof>
  </goal>
 </transf>
 </goal>
</theory>
</file>
</why3session>