1
2
3
4
5
6
7
8
9
10
11
12
13
14
15
16
17
18
19
20
21
22
23
24
25
26
27
28
29
30
31
32
33
34
35
36
37
38
39
40
41
42
43
44
45
46
47
48
49
50
51
52
53
54
55
56
57
58
59
60
61
62
63
64
65
66
67
68
69
70
71
72
73
74
75
76
77
78
79
80
81
82
83
|
<?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="Coq" version="8.19.2" timelimit="5" steplimit="0" memlimit="1000"/>
<prover id="2" name="Z3" version="4.12.2" timelimit="5" steplimit="0" memlimit="1000"/>
<prover id="3" name="Alt-Ergo" version="2.0.0" timelimit="5" steplimit="0" memlimit="1000"/>
<prover id="6" name="CVC4" version="1.5" timelimit="5" steplimit="0" memlimit="1000"/>
<file format="whyml" proved="true">
<path name=".."/><path name="warshall_algorithm.mlw"/>
<theory name="WarshallAlgorithm" proved="true">
<goal name="weakening" proved="true">
<transf name="induction_pr" proved="true" >
<goal name="weakening.0" proved="true">
<proof prover="3"><result status="valid" time="0.000000" steps="9"/></proof>
</goal>
<goal name="weakening.1" proved="true">
<proof prover="6"><result status="valid" time="0.010000" steps="4432"/></proof>
</goal>
</transf>
</goal>
<goal name="decomposition" proved="true">
<proof prover="0"><path name="warshall_algorithm_WarshallAlgorithm_decomposition_1.v"/><result status="valid" time="0.547730"/></proof>
</goal>
<goal name="transitive_closure'vc" expl="VC for transitive_closure" proved="true">
<transf name="split_goal_right" proved="true" >
<goal name="transitive_closure'vc.0" expl="loop invariant init" proved="true">
<proof prover="3"><result status="valid" time="0.000000" steps="34"/></proof>
</goal>
<goal name="transitive_closure'vc.1" expl="loop invariant init" proved="true">
<proof prover="3"><result status="valid" time="0.000000" steps="33"/></proof>
</goal>
<goal name="transitive_closure'vc.2" expl="loop invariant init" proved="true">
<proof prover="3"><result status="valid" time="0.010000" steps="50"/></proof>
</goal>
<goal name="transitive_closure'vc.3" expl="index in matrix bounds" proved="true">
<proof prover="3"><result status="valid" time="0.000000" steps="18"/></proof>
</goal>
<goal name="transitive_closure'vc.4" expl="index in matrix bounds" proved="true">
<proof prover="3"><result status="valid" time="0.000000" steps="19"/></proof>
</goal>
<goal name="transitive_closure'vc.5" expl="index in matrix bounds" proved="true">
<proof prover="3"><result status="valid" time="0.000000" steps="20"/></proof>
</goal>
<goal name="transitive_closure'vc.6" expl="index in matrix bounds" proved="true">
<proof prover="3"><result status="valid" time="0.000000" steps="18"/></proof>
</goal>
<goal name="transitive_closure'vc.7" expl="loop invariant preservation" proved="true">
<transf name="split_goal_right" proved="true" >
<goal name="transitive_closure'vc.7.0" expl="loop invariant preservation" proved="true">
<proof prover="3"><result status="valid" time="0.140000" steps="292"/></proof>
</goal>
<goal name="transitive_closure'vc.7.1" expl="loop invariant preservation" proved="true">
<proof prover="3"><result status="valid" time="0.030000" steps="163"/></proof>
</goal>
<goal name="transitive_closure'vc.7.2" expl="loop invariant preservation" proved="true">
<proof prover="2"><result status="valid" time="0.020000" steps="20153"/></proof>
</goal>
</transf>
</goal>
<goal name="transitive_closure'vc.8" expl="loop invariant preservation" proved="true">
<proof prover="3"><result status="valid" time="0.010000" steps="65"/></proof>
</goal>
<goal name="transitive_closure'vc.9" expl="loop invariant preservation" proved="true">
<proof prover="3"><result status="valid" time="0.000000" steps="13"/></proof>
</goal>
<goal name="transitive_closure'vc.10" expl="loop invariant preservation" proved="true">
<proof prover="3"><result status="valid" time="0.000000" steps="23"/></proof>
</goal>
<goal name="transitive_closure'vc.11" expl="loop invariant preservation" proved="true">
<proof prover="3"><result status="valid" time="0.000000" steps="9"/></proof>
</goal>
<goal name="transitive_closure'vc.12" expl="postcondition" proved="true">
<proof prover="3"><result status="valid" time="0.000000" steps="15"/></proof>
</goal>
<goal name="transitive_closure'vc.13" expl="out of loop bounds" proved="true">
<proof prover="3"><result status="valid" time="0.000000" steps="5"/></proof>
</goal>
</transf>
</goal>
</theory>
</file>
</why3session>
|
