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<?xml version="1.0" encoding="UTF-8"?>
<!DOCTYPE why3session PUBLIC "-//Why3//proof session v5//EN"
"https://www.why3.org/why3session.dtd">
<why3session shape_version="6">
<prover id="2" name="Alt-Ergo" version="2.6.0" timelimit="1" steplimit="0" memlimit="1000"/>
<file format="whyml" proved="true">
<path name=".."/><path name="vstte10_max_sum.mlw"/>
<theory name="MaxAndSum" proved="true">
<goal name="max_sum'vc" expl="VC for max_sum" proved="true">
</goal>
</theory>
<theory name="MaxAndSum2" proved="true">
<goal name="max_sum'vc" expl="VC for max_sum" proved="true">
<transf name="split_vc" proved="true" >
<goal name="max_sum'vc.0" expl="loop invariant init" proved="true">
<proof prover="2"><result status="valid" time="0.010000" steps="21"/></proof>
</goal>
<goal name="max_sum'vc.1" expl="loop invariant init" proved="true">
<proof prover="2"><result status="valid" time="0.010000" steps="15"/></proof>
</goal>
<goal name="max_sum'vc.2" expl="loop invariant init" proved="true">
<proof prover="2"><result status="valid" time="0.010000" steps="8"/></proof>
</goal>
<goal name="max_sum'vc.3" expl="index in array bounds" proved="true">
<proof prover="2"><result status="valid" time="0.010000" steps="14"/></proof>
</goal>
<goal name="max_sum'vc.4" expl="index in array bounds" proved="true">
<proof prover="2"><result status="valid" time="0.010000" steps="16"/></proof>
</goal>
<goal name="max_sum'vc.5" expl="index in array bounds" proved="true">
<proof prover="2"><result status="valid" time="0.010000" steps="18"/></proof>
</goal>
<goal name="max_sum'vc.6" expl="loop invariant preservation" proved="true">
<proof prover="2"><result status="valid" time="0.020000" steps="65"/></proof>
</goal>
<goal name="max_sum'vc.7" expl="loop invariant preservation" proved="true">
<proof prover="2"><result status="valid" time="0.060000" steps="398"/></proof>
</goal>
<goal name="max_sum'vc.8" expl="loop invariant preservation" proved="true">
<transf name="assert" proved="true" arg1="(s1 <= i * m)">
<goal name="max_sum'vc.8.0" expl="asserted formula" proved="true">
<transf name="assert" proved="true" arg1="(i * m1 <= i * m)">
<goal name="max_sum'vc.8.0.0" expl="asserted formula" proved="true">
</goal>
<goal name="max_sum'vc.8.0.1" expl="asserted formula" proved="true">
<proof prover="2"><result status="valid" time="0.010000" steps="26"/></proof>
</goal>
</transf>
</goal>
<goal name="max_sum'vc.8.1" expl="loop invariant preservation" proved="true">
<proof prover="2"><result status="valid" time="0.010000" steps="26"/></proof>
</goal>
</transf>
</goal>
<goal name="max_sum'vc.9" expl="index in array bounds" proved="true">
<proof prover="2"><result status="valid" time="0.000000" steps="16"/></proof>
</goal>
<goal name="max_sum'vc.10" expl="loop invariant preservation" proved="true">
<proof prover="2"><result status="valid" time="0.010000" steps="62"/></proof>
</goal>
<goal name="max_sum'vc.11" expl="loop invariant preservation" proved="true">
<proof prover="2"><result status="valid" time="0.080000" steps="544"/></proof>
</goal>
<goal name="max_sum'vc.12" expl="loop invariant preservation" proved="true">
<proof prover="2"><result status="valid" time="0.010000" steps="22"/></proof>
</goal>
<goal name="max_sum'vc.13" expl="postcondition" proved="true">
<proof prover="2"><result status="valid" time="0.000000" steps="10"/></proof>
</goal>
<goal name="max_sum'vc.14" expl="VC for max_sum" proved="true">
<proof prover="2"><result status="valid" time="0.000000" steps="7"/></proof>
</goal>
</transf>
</goal>
</theory>
<theory name="TestCase" proved="true">
<goal name="test'vc" expl="VC for test" proved="true">
<transf name="split_goal_right" proved="true" >
<goal name="test'vc.0" expl="array creation size" proved="true">
</goal>
<goal name="test'vc.1" expl="index in array bounds" proved="true">
</goal>
<goal name="test'vc.2" expl="index in array bounds" proved="true">
</goal>
<goal name="test'vc.3" expl="index in array bounds" proved="true">
</goal>
<goal name="test'vc.4" expl="index in array bounds" proved="true">
</goal>
<goal name="test'vc.5" expl="index in array bounds" proved="true">
</goal>
<goal name="test'vc.6" expl="index in array bounds" proved="true">
</goal>
<goal name="test'vc.7" expl="index in array bounds" proved="true">
</goal>
<goal name="test'vc.8" expl="index in array bounds" proved="true">
<proof prover="2"><result status="valid" time="0.020000" steps="18"/></proof>
</goal>
<goal name="test'vc.9" expl="index in array bounds" proved="true">
</goal>
<goal name="test'vc.10" expl="index in array bounds" proved="true">
<proof prover="2"><result status="valid" time="0.100000" steps="23"/></proof>
</goal>
<goal name="test'vc.11" expl="precondition" proved="true">
</goal>
<goal name="test'vc.12" expl="assertion" proved="true">
</goal>
<goal name="test'vc.13" expl="assertion" proved="true">
<proof prover="2"><result status="valid" time="0.160000" steps="2417"/></proof>
</goal>
</transf>
</goal>
<goal name="test_case'vc" expl="VC for test_case" proved="true">
<proof prover="2"><result status="valid" time="0.000000" steps="0"/></proof>
</goal>
</theory>
</file>
</why3session>
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