1 <?xml version="1.0" encoding="UTF-8"?>
2 <!DOCTYPE why3session PUBLIC "-//Why3//proof session v5//EN"
3 "https://www.why3.org/why3session.dtd">
4 <why3session shape_version="6">
5 <prover id="1" name="CVC5" version="1.0.5" timelimit="1" steplimit="0" memlimit="1000"/>
6 <prover id="2" name="Alt-Ergo" version="2.3.0" timelimit="1" steplimit="0" memlimit="1000"/>
7 <prover id="3" name="Z3" version="4.12.2" timelimit="1" steplimit="0" memlimit="1000"/>
8 <file format="whyml" proved="true">
9 <path name=".."/><path name="min_max.mlw"/>
10 <theory name="Top" proved="true">
11 <goal name="min_max'vc" expl="VC for min_max" proved="true">
12 <proof prover="2"><result status="valid" time="0.080000" steps="291"/></proof>
14 <goal name="a_better_min_max'vc" expl="VC for a_better_min_max" proved="true">
15 <transf name="split_vc" proved="true" >
16 <goal name="a_better_min_max'vc.0" expl="index in array bounds" proved="true">
17 <proof prover="2"><result status="valid" time="0.010000" steps="2"/></proof>
19 <goal name="a_better_min_max'vc.1" expl="index in array bounds" proved="true">
20 <proof prover="2"><result status="valid" time="0.010000" steps="2"/></proof>
22 <goal name="a_better_min_max'vc.2" expl="check modulo by zero" proved="true">
23 <proof prover="2"><result status="valid" time="0.030000" steps="2"/></proof>
25 <goal name="a_better_min_max'vc.3" expl="index in array bounds" proved="true">
26 <proof prover="2"><result status="valid" time="0.010000" steps="6"/></proof>
28 <goal name="a_better_min_max'vc.4" expl="index in array bounds" proved="true">
29 <proof prover="2"><result status="valid" time="0.000000" steps="4"/></proof>
31 <goal name="a_better_min_max'vc.5" expl="index in array bounds" proved="true">
32 <proof prover="2"><result status="valid" time="0.010000" steps="8"/></proof>
34 <goal name="a_better_min_max'vc.6" expl="index in array bounds" proved="true">
35 <proof prover="2"><result status="valid" time="0.000000" steps="8"/></proof>
37 <goal name="a_better_min_max'vc.7" expl="loop invariant init" proved="true">
38 <proof prover="2"><result status="valid" time="0.010000" steps="54"/></proof>
40 <goal name="a_better_min_max'vc.8" expl="loop invariant init" proved="true">
41 <proof prover="2"><result status="valid" time="0.120000" steps="543"/></proof>
43 <goal name="a_better_min_max'vc.9" expl="index in array bounds" proved="true">
44 <proof prover="2"><result status="valid" time="0.000000" steps="62"/></proof>
46 <goal name="a_better_min_max'vc.10" expl="index in array bounds" proved="true">
47 <proof prover="2"><result status="valid" time="0.000000" steps="55"/></proof>
49 <goal name="a_better_min_max'vc.11" expl="index in array bounds" proved="true">
50 <proof prover="2"><result status="valid" time="0.010000" steps="68"/></proof>
52 <goal name="a_better_min_max'vc.12" expl="index in array bounds" proved="true">
53 <proof prover="2"><result status="valid" time="0.000000" steps="61"/></proof>
55 <goal name="a_better_min_max'vc.13" expl="index in array bounds" proved="true">
56 <proof prover="2"><result status="valid" time="0.010000" steps="61"/></proof>
58 <goal name="a_better_min_max'vc.14" expl="index in array bounds" proved="true">
59 <proof prover="2"><result status="valid" time="0.040000" steps="68"/></proof>
61 <goal name="a_better_min_max'vc.15" expl="loop variant decrease" proved="true">
62 <proof prover="3"><result status="valid" time="0.010000" steps="21655"/></proof>
64 <goal name="a_better_min_max'vc.16" expl="loop invariant preservation" proved="true">
65 <proof prover="2"><result status="valid" time="0.010000" steps="120"/></proof>
67 <goal name="a_better_min_max'vc.17" expl="loop invariant preservation" proved="true">
68 <proof prover="1"><result status="valid" time="0.408187" steps="39182"/></proof>
70 <goal name="a_better_min_max'vc.18" expl="postcondition" proved="true">
71 <proof prover="2"><result status="valid" time="0.010000" steps="126"/></proof>
75 <goal name="divide_and_conquer'vc" expl="VC for divide_and_conquer" proved="true">
76 <proof prover="2"><result status="valid" time="0.370000" steps="989"/></proof>
78 <goal name="a_similar_min_max'vc" expl="VC for a_similar_min_max" proved="true">
79 <proof prover="2"><result status="valid" time="0.020000" steps="11"/></proof>