Files
why3/examples/euler002/why3session.xml
2025-12-11 12:03:25 +01:00

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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="0" name="CVC4" version="1.8" timelimit="5" steplimit="0" memlimit="1000"/>
<prover id="4" name="Z3" version="4.13.2" timelimit="5" steplimit="0" memlimit="1000"/>
<prover id="6" name="Alt-Ergo" version="2.6.2" timelimit="5" steplimit="0" memlimit="1000"/>
<prover id="8" name="CVC5" version="1.2.0" timelimit="5" steplimit="0" memlimit="1000"/>
<file format="whyml" proved="true">
<path name=".."/><path name="euler002.mlw"/>
<theory name="FibOnlyEven" proved="true">
<goal name="fib_even_3n&#39;vc" expl="VC for fib_even_3n" proved="true">
<transf name="split_goal_right" proved="true" >
<goal name="fib_even_3n&#39;vc.0" expl="variant decrease" proved="true">
<proof prover="8"><result status="valid" time="0.029124" steps="70"/></proof>
</goal>
<goal name="fib_even_3n&#39;vc.1" expl="precondition" proved="true">
<proof prover="8"><result status="valid" time="0.036825" steps="58"/></proof>
</goal>
<goal name="fib_even_3n&#39;vc.2" expl="postcondition" proved="true">
<proof prover="0"><result status="valid" time="0.072623" steps="8513"/></proof>
</goal>
</transf>
</goal>
<goal name="fib_even0" proved="true">
<proof prover="4"><result status="valid" time="0.013155" steps="7471"/></proof>
</goal>
<goal name="fib_even1" proved="true">
<proof prover="8"><result status="valid" time="0.026366" steps="2973"/></proof>
</goal>
<goal name="fib_evenn" proved="true">
<proof prover="0"><result status="valid" time="0.046229" steps="6429"/></proof>
</goal>
</theory>
<theory name="Solve" proved="true">
<goal name="f&#39;vc" expl="VC for f" proved="true">
<transf name="split_goal_right" proved="true" >
<goal name="f&#39;vc.0" expl="loop invariant init" proved="true">
<proof prover="8"><result status="valid" time="0.034986" steps="1337"/></proof>
</goal>
<goal name="f&#39;vc.1" expl="loop invariant init" proved="true">
<proof prover="4"><result status="valid" time="0.003938" steps="1153"/></proof>
</goal>
<goal name="f&#39;vc.2" expl="loop invariant init" proved="true">
<proof prover="8"><result status="valid" time="0.028663" steps="1443"/></proof>
</goal>
<goal name="f&#39;vc.3" expl="loop invariant init" proved="true">
<proof prover="8"><result status="valid" time="0.029689" steps="1363"/></proof>
</goal>
<goal name="f&#39;vc.4" expl="loop invariant init" proved="true">
<proof prover="4"><result status="valid" time="0.009703" steps="1761"/></proof>
</goal>
<goal name="f&#39;vc.5" expl="loop invariant init" proved="true">
<proof prover="8"><result status="valid" time="0.025816" steps="1391"/></proof>
</goal>
<goal name="f&#39;vc.6" expl="loop invariant init" proved="true">
<proof prover="6"><result status="valid" time="0.027780" steps="79"/></proof>
</goal>
<goal name="f&#39;vc.7" expl="loop invariant init" proved="true">
<proof prover="6"><result status="valid" time="0.024592" steps="15"/></proof>
</goal>
<goal name="f&#39;vc.8" expl="loop variant decrease" proved="true">
<proof prover="4"><result status="valid" time="0.006016" steps="11538"/></proof>
</goal>
<goal name="f&#39;vc.9" expl="loop invariant preservation" proved="true">
<proof prover="6"><result status="valid" time="0.026897" steps="20"/></proof>
</goal>
<goal name="f&#39;vc.10" expl="loop invariant preservation" proved="true">
<proof prover="0"><result status="valid" time="0.024864" steps="4149"/></proof>
</goal>
<goal name="f&#39;vc.11" expl="loop invariant preservation" proved="true">
<proof prover="6"><result status="valid" time="0.024103" steps="10"/></proof>
</goal>
<goal name="f&#39;vc.12" expl="loop invariant preservation" proved="true">
<proof prover="8"><result status="valid" time="0.046772" steps="1936"/></proof>
</goal>
<goal name="f&#39;vc.13" expl="loop invariant preservation" proved="true">
<proof prover="4"><result status="valid" time="0.012191" steps="23132"/></proof>
</goal>
<goal name="f&#39;vc.14" expl="loop invariant preservation" proved="true">
<proof prover="4"><result status="valid" time="0.028815" steps="31327"/></proof>
</goal>
<goal name="f&#39;vc.15" expl="loop invariant preservation" proved="true">
<proof prover="8"><result status="valid" time="0.635455" steps="51066"/></proof>
</goal>
<goal name="f&#39;vc.16" expl="loop invariant preservation" proved="true">
<proof prover="6"><result status="valid" time="0.027704" steps="38"/></proof>
</goal>
<goal name="f&#39;vc.17" expl="postcondition" proved="true">
<proof prover="6"><result status="valid" time="0.042011" steps="99"/></proof>
</goal>
</transf>
</goal>
<goal name="run&#39;vc" expl="VC for run" proved="true">
<proof prover="8"><result status="valid" time="0.020274" steps="1329"/></proof>
</goal>
<goal name="bench&#39;vc" expl="VC for bench" proved="true">
<proof prover="4"><result status="valid" time="0.002063" steps="1153"/></proof>
</goal>
</theory>
</file>
</why3session>