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="0" name="CVC4" version="1.5" timelimit="1" steplimit="0" memlimit="1000"/>
6 <prover id="1" name="CVC3" version="2.4.1" timelimit="5" steplimit="0" memlimit="1000"/>
7 <prover id="2" name="Z3" version="4.12.2" timelimit="5" steplimit="0" memlimit="1000"/>
8 <prover id="3" name="CVC4" version="1.4" timelimit="5" steplimit="0" memlimit="1000"/>
9 <prover id="4" name="Alt-Ergo" version="2.3.0" timelimit="1" steplimit="0" memlimit="1000"/>
10 <prover id="7" name="Alt-Ergo" version="2.1.0" timelimit="5" steplimit="0" memlimit="1000"/>
11 <file format="whyml" proved="true">
12 <path name=".."/><path name="optimal_replay.mlw"/>
13 <theory name="OptimalReplay" proved="true">
14 <goal name="n'vc" expl="VC for n" proved="true">
15 <proof prover="4"><result status="valid" time="0.000000" steps="0"/></proof>
17 <goal name="distance'vc" expl="VC for distance" proved="true">
18 <transf name="split_goal_right" proved="true" >
19 <goal name="distance'vc.0" expl="array creation size" proved="true">
20 <proof prover="7"><result status="valid" time="0.010000" steps="4"/></proof>
22 <goal name="distance'vc.1" expl="index in array bounds" proved="true">
23 <proof prover="7"><result status="valid" time="0.020000" steps="6"/></proof>
25 <goal name="distance'vc.2" expl="array creation size" proved="true">
26 <proof prover="7"><result status="valid" time="0.010000" steps="12"/></proof>
28 <goal name="distance'vc.3" expl="loop invariant init" proved="true">
29 <proof prover="7"><result status="valid" time="0.010000" steps="32"/></proof>
31 <goal name="distance'vc.4" expl="loop invariant init" proved="true">
32 <proof prover="7"><result status="valid" time="0.020000" steps="21"/></proof>
34 <goal name="distance'vc.5" expl="loop invariant init" proved="true">
35 <proof prover="7"><result status="valid" time="0.020000" steps="55"/></proof>
37 <goal name="distance'vc.6" expl="loop invariant init" proved="true">
38 <proof prover="7"><result status="valid" time="0.020000" steps="31"/></proof>
40 <goal name="distance'vc.7" expl="loop invariant init" proved="true">
41 <proof prover="7"><result status="valid" time="0.020000" steps="32"/></proof>
43 <goal name="distance'vc.8" expl="precondition" proved="true">
44 <proof prover="7"><result status="valid" time="0.010000" steps="35"/></proof>
46 <goal name="distance'vc.9" expl="index in array bounds" proved="true">
47 <proof prover="7"><result status="valid" time="0.020000" steps="39"/></proof>
49 <goal name="distance'vc.10" expl="index in array bounds" proved="true">
50 <proof prover="7"><result status="valid" time="0.020000" steps="43"/></proof>
52 <goal name="distance'vc.11" expl="loop variant decrease" proved="true">
53 <proof prover="3"><result status="valid" time="0.040000"/></proof>
55 <goal name="distance'vc.12" expl="loop invariant preservation" proved="true">
56 <proof prover="7"><result status="valid" time="0.020000" steps="83"/></proof>
58 <goal name="distance'vc.13" expl="loop invariant preservation" proved="true">
59 <proof prover="1"><result status="valid" time="0.040000"/></proof>
60 <proof prover="3"><result status="valid" time="0.050000"/></proof>
62 <goal name="distance'vc.14" expl="index in array bounds" proved="true">
63 <proof prover="7"><result status="valid" time="0.010000" steps="41"/></proof>
65 <goal name="distance'vc.15" expl="index in array bounds" proved="true">
66 <proof prover="7"><result status="valid" time="0.010000" steps="41"/></proof>
68 <goal name="distance'vc.16" expl="index in array bounds" proved="true">
69 <proof prover="7"><result status="valid" time="0.020000" steps="47"/></proof>
71 <goal name="distance'vc.17" expl="loop invariant preservation" proved="true">
72 <proof prover="1"><result status="valid" time="0.040000"/></proof>
73 <proof prover="2"><result status="valid" time="0.010000" steps="20740"/></proof>
74 <proof prover="3"><result status="valid" time="0.020000"/></proof>
76 <goal name="distance'vc.18" expl="loop invariant preservation" proved="true">
77 <proof prover="1" timelimit="17"><result status="valid" time="0.780000"/></proof>
79 <goal name="distance'vc.19" expl="loop invariant preservation" proved="true">
80 <transf name="unfold" proved="true" arg1="distance">
81 <goal name="distance'vc.19.0" expl="loop invariant preservation" proved="true">
82 <transf name="split_goal_right" proved="true" >
83 <goal name="distance'vc.19.0.0" expl="loop invariant preservation" proved="true">
84 <proof prover="0"><result status="valid" time="0.380000" steps="58168"/></proof>
86 <goal name="distance'vc.19.0.1" expl="loop invariant preservation" proved="true">
87 <proof prover="3" timelimit="10" memlimit="4000"><result status="valid" time="1.390000"/></proof>
93 <goal name="distance'vc.20" expl="assertion" proved="true">
94 <proof prover="3"><result status="valid" time="0.060000"/></proof>
96 <goal name="distance'vc.21" expl="assertion" proved="true">
97 <proof prover="7" timelimit="36"><result status="valid" time="0.000000" steps="33"/></proof>
99 <goal name="distance'vc.22" expl="out of loop bounds" proved="true">
100 <proof prover="7"><result status="valid" time="0.020000" steps="14"/></proof>