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="CVC3" version="2.4.1" timelimit="5" steplimit="0" memlimit="0"/>
6 <prover id="2" name="Coq" version="8.19.2" timelimit="5" steplimit="0" memlimit="0"/>
7 <prover id="3" name="Alt-Ergo" version="2.1.0" timelimit="20" steplimit="0" memlimit="0"/>
8 <prover id="6" name="Z3" version="3.2" timelimit="5" steplimit="0" memlimit="0"/>
9 <file format="whyml" proved="true">
10 <path name=".."/><path name="vstte10_search_list.mlw"/>
11 <theory name="SearchingALinkedList" proved="true">
12 <goal name="search'vc" expl="VC for search" proved="true">
13 <proof prover="3"><result status="valid" time="0.070000" steps="345"/></proof>
15 <goal name="search_list'vc" expl="VC for search_list" proved="true">
16 <proof prover="1"><result status="valid" time="0.000000"/></proof>
17 <proof prover="3"><result status="valid" time="0.010000" steps="2"/></proof>
18 <proof prover="6"><result status="valid" time="0.000000"/></proof>
20 <goal name="head'vc" expl="VC for head" proved="true">
21 <proof prover="1"><result status="valid" time="0.010000"/></proof>
22 <proof prover="3"><result status="valid" time="0.000000" steps="30"/></proof>
23 <proof prover="6"><result status="valid" time="0.010000"/></proof>
25 <goal name="tail'vc" expl="VC for tail" proved="true">
26 <proof prover="1"><result status="valid" time="0.010000"/></proof>
27 <proof prover="3"><result status="valid" time="0.020000" steps="30"/></proof>
28 <proof prover="6"><result status="valid" time="0.020000"/></proof>
30 <goal name="search_loop'vc" expl="VC for search_loop" proved="true">
31 <transf name="split_goal_right" proved="true" >
32 <goal name="search_loop'vc.0" expl="loop invariant init" proved="true">
33 <proof prover="1"><result status="valid" time="0.010000"/></proof>
34 <proof prover="3"><result status="valid" time="0.010000" steps="11"/></proof>
35 <proof prover="6"><result status="valid" time="0.000000"/></proof>
37 <goal name="search_loop'vc.1" expl="precondition" proved="true">
38 <proof prover="1"><result status="valid" time="0.010000"/></proof>
39 <proof prover="3"><result status="valid" time="0.010000" steps="8"/></proof>
40 <proof prover="6"><result status="valid" time="0.020000"/></proof>
42 <goal name="search_loop'vc.2" expl="precondition" proved="true">
43 <proof prover="1" timelimit="20"><result status="valid" time="0.010000"/></proof>
44 <proof prover="3" timelimit="5"><result status="valid" time="0.010000" steps="14"/></proof>
45 <proof prover="6"><result status="valid" time="0.000000"/></proof>
47 <goal name="search_loop'vc.3" expl="loop variant decrease" proved="true">
48 <proof prover="1" memlimit="1000"><result status="valid" time="0.010000"/></proof>
49 <proof prover="3"><result status="valid" time="0.010000" steps="58"/></proof>
51 <goal name="search_loop'vc.4" expl="loop invariant preservation" proved="true">
52 <transf name="split_goal_right" proved="true" >
53 <goal name="search_loop'vc.4.0" expl="VC for search_loop" proved="true">
54 <proof prover="1"><result status="valid" time="0.020000"/></proof>
55 <proof prover="3"><result status="valid" time="0.010000" steps="18"/></proof>
56 <proof prover="6"><result status="valid" time="0.020000"/></proof>
58 <goal name="search_loop'vc.4.1" expl="VC for search_loop" proved="true">
59 <proof prover="3"><result status="valid" time="0.020000" steps="50"/></proof>
61 <goal name="search_loop'vc.4.2" expl="VC for search_loop" proved="true">
62 <proof prover="2"><path name="vstte10_search_list_WP_SearchingALinkedList_WP_parameter_search_loop_3.v"/><result status="valid" time="0.279543"/></proof>
64 <goal name="search_loop'vc.4.3" expl="VC for search_loop" proved="true">
65 <proof prover="2"><path name="vstte10_search_list_WP_SearchingALinkedList_WP_parameter_search_loop_4.v"/><result status="valid" time="0.348685"/></proof>
69 <goal name="search_loop'vc.5" expl="postcondition" proved="true">
70 <proof prover="2"><path name="vstte10_search_list_WP_SearchingALinkedList_WP_parameter_search_loop_1.v"/><result status="valid" time="0.330000"/></proof>