update a few example proofs

This commit is contained in:
Claude Marche
2017-06-01 15:15:36 +02:00
parent 3f5e6e1fa1
commit 2149e1de3c
6 changed files with 129 additions and 105 deletions

View File

@@ -2,20 +2,20 @@
<!DOCTYPE why3session PUBLIC "-//Why3//proof session v5//EN"
"http://why3.lri.fr/why3session.dtd">
<why3session shape_version="4">
<prover id="3" name="CVC4" version="1.4" timelimit="5" steplimit="0" memlimit="1000"/>
<prover id="0" name="Z3" version="4.4.1" timelimit="1" steplimit="0" memlimit="1000"/>
<prover id="9" name="Alt-Ergo" version="1.30" timelimit="5" steplimit="0" memlimit="1000"/>
<file name="../decrease1.mlw" expanded="true">
<theory name="Decrease1" sum="ada34eb3bebc2acf740281e95648456b" expanded="true">
<theory name="Decrease1" sum="a2ab71223278916b25ab96c60cc79d85" expanded="true">
<goal name="VC decrease1_induction" expl="VC for decrease1_induction" expanded="true">
<proof prover="9"><result status="valid" time="0.02" steps="35"/></proof>
</goal>
<goal name="VC search" expl="VC for search">
<transf name="split_goal_wp">
<goal name="VC search" expl="VC for search" expanded="true">
<transf name="split_goal_wp" expanded="true">
<goal name="VC search.1" expl="1. loop invariant init">
<proof prover="9"><result status="valid" time="0.00" steps="2"/></proof>
</goal>
<goal name="VC search.2" expl="2. loop invariant init">
<proof prover="9"><result status="valid" time="0.00" steps="2"/></proof>
<proof prover="9"><result status="valid" time="0.00" steps="3"/></proof>
</goal>
<goal name="VC search.3" expl="3. index in array bounds">
<proof prover="9"><result status="valid" time="0.00" steps="4"/></proof>
@@ -35,9 +35,8 @@
<goal name="VC search.8" expl="8. loop invariant preservation">
<proof prover="9"><result status="valid" time="0.00" steps="7"/></proof>
</goal>
<goal name="VC search.9" expl="9. loop invariant preservation">
<proof prover="3"><result status="valid" time="0.01"/></proof>
<proof prover="9"><result status="unknown" time="1.10"/></proof>
<goal name="VC search.9" expl="9. loop invariant preservation" expanded="true">
<proof prover="0"><result status="valid" time="0.02"/></proof>
</goal>
<goal name="VC search.10" expl="10. loop variant decrease">
<proof prover="9"><result status="valid" time="0.00" steps="7"/></proof>
@@ -46,15 +45,15 @@
<proof prover="9"><result status="valid" time="0.00" steps="7"/></proof>
</goal>
<goal name="VC search.12" expl="12. loop invariant preservation">
<proof prover="9"><result status="valid" time="0.00" steps="12"/></proof>
<proof prover="9"><result status="valid" time="0.00" steps="13"/></proof>
</goal>
<goal name="VC search.13" expl="13. postcondition">
<proof prover="9"><result status="valid" time="0.00" steps="9"/></proof>
</goal>
</transf>
</goal>
<goal name="VC search_rec" expl="VC for search_rec">
<transf name="split_goal_wp">
<goal name="VC search_rec" expl="VC for search_rec" expanded="true">
<transf name="split_goal_wp" expanded="true">
<goal name="VC search_rec.1" expl="1. index in array bounds">
<proof prover="9"><result status="valid" time="0.00" steps="4"/></proof>
</goal>
@@ -76,18 +75,8 @@
<goal name="VC search_rec.7" expl="7. precondition">
<proof prover="9"><result status="valid" time="0.00" steps="6"/></proof>
</goal>
<goal name="VC search_rec.8" expl="8. postcondition">
<proof prover="9"><result status="valid" time="0.00" steps="8"/></proof>
</goal>
<goal name="VC search_rec.9" expl="9. postcondition">
<proof prover="3"><result status="valid" time="0.02"/></proof>
<proof prover="9"><result status="unknown" time="1.31"/></proof>
</goal>
<goal name="VC search_rec.10" expl="10. postcondition">
<proof prover="9"><result status="valid" time="0.01" steps="41"/></proof>
</goal>
<goal name="VC search_rec.11" expl="11. postcondition">
<proof prover="9"><result status="valid" time="0.00" steps="5"/></proof>
<goal name="VC search_rec.8" expl="8. postcondition" expanded="true">
<proof prover="0"><result status="valid" time="0.01"/></proof>
</goal>
</transf>
</goal>

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