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="Alt-Ergo" version="2.4.3" timelimit="5" steplimit="0" memlimit="1000"/>
6 <prover id="1" name="CVC4" version="1.7" timelimit="1" steplimit="0" memlimit="1000"/>
7 <prover id="3" name="Eprover" version="2.0" timelimit="30" steplimit="0" memlimit="4000"/>
8 <file format="whyml" proved="true">
9 <path name=".."/><path name="coincidence_count.mlw"/>
10 <theory name="CoincidenceCount" proved="true">
11 <goal name="drop_left" proved="true">
12 <proof prover="0"><result status="valid" time="0.048537" steps="422"/></proof>
14 <goal name="not_mem_inter_r" proved="true">
15 <proof prover="0"><result status="valid" time="0.303634" steps="2475"/></proof>
17 <goal name="not_mem_inter_l" proved="true">
18 <proof prover="0"><result status="valid" time="0.345394" steps="2671"/></proof>
20 <goal name="coincidence_count'vc" expl="VC for coincidence_count" proved="true">
21 <transf name="split_vc" proved="true" >
22 <goal name="coincidence_count'vc.0" expl="loop invariant init" proved="true">
23 <proof prover="0"><result status="valid" time="0.013396" steps="6"/></proof>
25 <goal name="coincidence_count'vc.1" expl="loop invariant init" proved="true">
26 <proof prover="0"><result status="valid" time="0.007107" steps="9"/></proof>
28 <goal name="coincidence_count'vc.2" expl="loop invariant init" proved="true">
29 <proof prover="0"><result status="valid" time="0.012376" steps="69"/></proof>
31 <goal name="coincidence_count'vc.3" expl="index in array bounds" proved="true">
32 <proof prover="0"><result status="valid" time="0.007811" steps="20"/></proof>
34 <goal name="coincidence_count'vc.4" expl="index in array bounds" proved="true">
35 <proof prover="0"><result status="valid" time="0.011040" steps="20"/></proof>
37 <goal name="coincidence_count'vc.5" expl="loop variant decrease" proved="true">
38 <proof prover="0"><result status="valid" time="0.015577" steps="24"/></proof>
40 <goal name="coincidence_count'vc.6" expl="loop invariant preservation" proved="true">
41 <proof prover="0"><result status="valid" time="0.009820" steps="24"/></proof>
43 <goal name="coincidence_count'vc.7" expl="loop invariant preservation" proved="true">
44 <proof prover="0"><result status="valid" time="0.016138" steps="26"/></proof>
46 <goal name="coincidence_count'vc.8" expl="loop invariant preservation" proved="true">
47 <proof prover="0"><result status="valid" time="1.252724" steps="9619"/></proof>
49 <goal name="coincidence_count'vc.9" expl="index in array bounds" proved="true">
50 <proof prover="0"><result status="valid" time="0.008132" steps="22"/></proof>
52 <goal name="coincidence_count'vc.10" expl="index in array bounds" proved="true">
53 <proof prover="0"><result status="valid" time="0.008551" steps="22"/></proof>
55 <goal name="coincidence_count'vc.11" expl="loop variant decrease" proved="true">
56 <proof prover="0"><result status="valid" time="0.012507" steps="26"/></proof>
58 <goal name="coincidence_count'vc.12" expl="loop invariant preservation" proved="true">
59 <proof prover="0"><result status="valid" time="0.012904" steps="26"/></proof>
61 <goal name="coincidence_count'vc.13" expl="loop invariant preservation" proved="true">
62 <proof prover="0"><result status="valid" time="0.013184" steps="26"/></proof>
64 <goal name="coincidence_count'vc.14" expl="loop invariant preservation" proved="true">
65 <proof prover="0"><result status="valid" time="1.580783" steps="12182"/></proof>
67 <goal name="coincidence_count'vc.15" expl="assertion" proved="true">
68 <proof prover="1"><result status="valid" time="1.291632" steps="122398"/></proof>
70 <goal name="coincidence_count'vc.16" expl="assertion" proved="true">
71 <proof prover="0"><result status="valid" time="0.939102" steps="6866"/></proof>
73 <goal name="coincidence_count'vc.17" expl="loop variant decrease" proved="true">
74 <proof prover="0"><result status="valid" time="0.004599" steps="34"/></proof>
76 <goal name="coincidence_count'vc.18" expl="loop invariant preservation" proved="true">
77 <proof prover="0"><result status="valid" time="0.018909" steps="34"/></proof>
79 <goal name="coincidence_count'vc.19" expl="loop invariant preservation" proved="true">
80 <proof prover="0"><result status="valid" time="0.011879" steps="36"/></proof>
82 <goal name="coincidence_count'vc.20" expl="loop invariant preservation" proved="true">
83 <proof prover="0"><result status="valid" time="0.044396" steps="264"/></proof>
85 <goal name="coincidence_count'vc.21" expl="postcondition" proved="true">
86 <proof prover="0"><result status="valid" time="0.039144" steps="312"/></proof>
91 <theory name="CoincidenceCountBag" proved="true">
92 <goal name="bagofsub'vc" expl="VC for bagofsub" proved="true">
93 <proof prover="0"><result status="valid" time="0.009367" steps="11"/></proof>
95 <goal name="not_mem_inter_r" proved="true">
96 <proof prover="0"><result status="valid" time="0.017565" steps="122"/></proof>
98 <goal name="not_mem_inter_l" proved="true">
99 <proof prover="0"><result status="valid" time="0.022369" steps="133"/></proof>
101 <goal name="bagofincreasing'vc" expl="VC for bagofincreasing" proved="true">
102 <proof prover="0"><result status="valid" time="0.023741" steps="144"/></proof>
104 <goal name="coincidence_count'vc" expl="VC for coincidence_count" proved="true">
105 <transf name="split_vc" proved="true" >
106 <goal name="coincidence_count'vc.0" expl="loop invariant init" proved="true">
107 <proof prover="0"><result status="valid" time="0.004600" steps="6"/></proof>
109 <goal name="coincidence_count'vc.1" expl="loop invariant init" proved="true">
110 <proof prover="0"><result status="valid" time="0.006167" steps="9"/></proof>
112 <goal name="coincidence_count'vc.2" expl="loop invariant init" proved="true">
113 <proof prover="0"><result status="valid" time="0.004794" steps="14"/></proof>
115 <goal name="coincidence_count'vc.3" expl="index in array bounds" proved="true">
116 <proof prover="0"><result status="valid" time="0.014628" steps="20"/></proof>
118 <goal name="coincidence_count'vc.4" expl="index in array bounds" proved="true">
119 <proof prover="0"><result status="valid" time="0.004775" steps="20"/></proof>
121 <goal name="coincidence_count'vc.5" expl="loop variant decrease" proved="true">
122 <proof prover="0"><result status="valid" time="0.012466" steps="24"/></proof>
124 <goal name="coincidence_count'vc.6" expl="loop invariant preservation" proved="true">
125 <proof prover="0"><result status="valid" time="0.007996" steps="24"/></proof>
127 <goal name="coincidence_count'vc.7" expl="loop invariant preservation" proved="true">
128 <proof prover="0"><result status="valid" time="0.012276" steps="26"/></proof>
130 <goal name="coincidence_count'vc.8" expl="loop invariant preservation" proved="true">
131 <proof prover="0"><result status="valid" time="0.038749" steps="217"/></proof>
133 <goal name="coincidence_count'vc.9" expl="index in array bounds" proved="true">
134 <proof prover="0"><result status="valid" time="0.011707" steps="22"/></proof>
136 <goal name="coincidence_count'vc.10" expl="index in array bounds" proved="true">
137 <proof prover="0"><result status="valid" time="0.007387" steps="22"/></proof>
139 <goal name="coincidence_count'vc.11" expl="loop variant decrease" proved="true">
140 <proof prover="0"><result status="valid" time="0.008429" steps="26"/></proof>
142 <goal name="coincidence_count'vc.12" expl="loop invariant preservation" proved="true">
143 <proof prover="0"><result status="valid" time="0.014804" steps="26"/></proof>
145 <goal name="coincidence_count'vc.13" expl="loop invariant preservation" proved="true">
146 <proof prover="0"><result status="valid" time="0.015821" steps="26"/></proof>
148 <goal name="coincidence_count'vc.14" expl="loop invariant preservation" proved="true">
149 <proof prover="0"><result status="valid" time="0.029505" steps="253"/></proof>
151 <goal name="coincidence_count'vc.15" expl="assertion" proved="true">
152 <proof prover="0"><result status="valid" time="3.633886" steps="39538"/></proof>
154 <goal name="coincidence_count'vc.16" expl="loop variant decrease" proved="true">
155 <proof prover="0"><result status="valid" time="0.009022" steps="32"/></proof>
157 <goal name="coincidence_count'vc.17" expl="loop invariant preservation" proved="true">
158 <proof prover="0"><result status="valid" time="0.013086" steps="32"/></proof>
160 <goal name="coincidence_count'vc.18" expl="loop invariant preservation" proved="true">
161 <proof prover="0"><result status="valid" time="0.013351" steps="34"/></proof>
163 <goal name="coincidence_count'vc.19" expl="loop invariant preservation" proved="true">
164 <proof prover="0"><result status="valid" time="0.012689" steps="65"/></proof>
166 <goal name="coincidence_count'vc.20" expl="postcondition" proved="true">
167 <transf name="split_vc" proved="true" >
168 <goal name="coincidence_count'vc.20.0" expl="postcondition" proved="true">
169 <proof prover="3"><result status="valid" time="22.264390"/></proof>
171 <goal name="coincidence_count'vc.20.1" expl="postcondition" proved="true">
172 <proof prover="3"><result status="valid" time="21.250000"/></proof>