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="CVC5" version="1.1.2" timelimit="5" steplimit="0" memlimit="1000"/>
6 <prover id="1" name="Z3" version="4.11.2" timelimit="5" steplimit="0" memlimit="1000"/>
7 <prover id="2" name="CVC5" version="1.0.5" timelimit="5" steplimit="0" memlimit="1000"/>
8 <prover id="3" name="Z3" version="4.13.2" timelimit="5" steplimit="0" memlimit="1000"/>
9 <prover id="4" name="Alt-Ergo" version="2.3.3" timelimit="5" steplimit="0" memlimit="1000"/>
10 <prover id="5" name="CVC4" version="1.8" timelimit="5" steplimit="0" memlimit="1000"/>
11 <prover id="6" name="Alt-Ergo" version="2.6.0" timelimit="5" steplimit="0" memlimit="1000"/>
12 <file format="whyml" proved="true">
13 <path name=".."/><path name="equality_up_to_spaces.mlw"/>
14 <theory name="Top" proved="true">
15 <goal name="remove_spaces'vc" expl="VC for remove_spaces" proved="true">
16 <proof prover="1"><result status="valid" time="0.020000" steps="29706"/></proof>
17 <proof prover="2"><result status="valid" time="0.090000" steps="5598"/></proof>
18 <proof prover="4"><result status="valid" time="0.010000" steps="23"/></proof>
19 <proof prover="5"><result status="valid" time="0.042824" steps="8515"/></proof>
21 <goal name="compare_up_to_spaces'vc" expl="VC for compare_up_to_spaces" proved="true">
22 <transf name="split_vc" proved="true" >
23 <goal name="compare_up_to_spaces'vc.0" expl="loop invariant init" proved="true">
24 <proof prover="1"><result status="valid" time="0.010000" steps="37553"/></proof>
25 <proof prover="2"><result status="valid" time="0.070000" steps="5689"/></proof>
26 <proof prover="4"><result status="valid" time="0.000000" steps="2"/></proof>
27 <proof prover="6"><result status="valid" time="0.020255" steps="2"/></proof>
29 <goal name="compare_up_to_spaces'vc.1" expl="loop invariant init" proved="true">
30 <proof prover="0"><result status="valid" time="0.047814" steps="5808"/></proof>
31 <proof prover="1"><result status="valid" time="0.020000" steps="37834"/></proof>
32 <proof prover="2"><result status="valid" time="0.080000" steps="5865"/></proof>
33 <proof prover="4"><result status="valid" time="0.000000" steps="5"/></proof>
35 <goal name="compare_up_to_spaces'vc.2" expl="loop invariant init" proved="true">
36 <proof prover="1"><result status="valid" time="0.147035" steps="206651"/></proof>
37 <proof prover="2"><result status="valid" time="0.332453" steps="44532"/></proof>
38 <proof prover="4"><result status="valid" time="0.030000" steps="128"/></proof>
39 <proof prover="6"><result status="valid" time="0.052497" steps="308"/></proof>
41 <goal name="compare_up_to_spaces'vc.3" expl="assertion" proved="true">
42 <proof prover="1"><result status="valid" time="0.536801" steps="575827"/></proof>
43 <proof prover="4"><result status="valid" time="0.650000" steps="1524"/></proof>
44 <proof prover="6"><result status="valid" time="0.167880" steps="1426"/></proof>
46 <goal name="compare_up_to_spaces'vc.4" expl="loop variant decrease" proved="true">
47 <proof prover="0"><result status="valid" time="0.043413" steps="6692"/></proof>
48 <proof prover="1"><result status="valid" time="0.020000" steps="51631"/></proof>
49 <proof prover="2"><result status="valid" time="0.070000" steps="6714"/></proof>
50 <proof prover="4"><result status="valid" time="0.010000" steps="22"/></proof>
52 <goal name="compare_up_to_spaces'vc.5" expl="loop invariant preservation" proved="true">
53 <proof prover="1"><result status="valid" time="0.020000" steps="52479"/></proof>
54 <proof prover="2"><result status="valid" time="0.070000" steps="6598"/></proof>
55 <proof prover="3"><result status="valid" time="0.020602" steps="48670"/></proof>
56 <proof prover="4"><result status="valid" time="0.010000" steps="22"/></proof>
58 <goal name="compare_up_to_spaces'vc.6" expl="loop invariant preservation" proved="true">
59 <proof prover="1"><result status="valid" time="0.010000" steps="5777"/></proof>
60 <proof prover="2"><result status="valid" time="0.060000" steps="6304"/></proof>
61 <proof prover="3"><result status="valid" time="0.005111" steps="5781"/></proof>
62 <proof prover="4"><result status="valid" time="0.010000" steps="24"/></proof>
64 <goal name="compare_up_to_spaces'vc.7" expl="loop invariant preservation" proved="true">
65 <proof prover="2"><result status="valid" time="0.070000" steps="6706"/></proof>
66 <proof prover="4"><result status="valid" time="0.010000" steps="37"/></proof>
67 <proof prover="5"><result status="valid" time="0.054502" steps="10579"/></proof>
69 <goal name="compare_up_to_spaces'vc.8" expl="assertion" proved="true">
70 <proof prover="1"><result status="valid" time="0.523672" steps="576917"/></proof>
71 <proof prover="4"><result status="valid" time="0.650000" steps="1534"/></proof>
72 <proof prover="6"><result status="valid" time="0.224193" steps="2016"/></proof>
74 <goal name="compare_up_to_spaces'vc.9" expl="loop variant decrease" proved="true">
75 <proof prover="1"><result status="valid" time="0.020000" steps="52297"/></proof>
76 <proof prover="2"><result status="valid" time="0.070000" steps="6819"/></proof>
77 <proof prover="4"><result status="valid" time="0.010000" steps="24"/></proof>
78 <proof prover="5"><result status="valid" time="0.062815" steps="10747"/></proof>
80 <goal name="compare_up_to_spaces'vc.10" expl="loop invariant preservation" proved="true">
81 <proof prover="1"><result status="valid" time="0.010000" steps="5868"/></proof>
82 <proof prover="2"><result status="valid" time="0.050000" steps="6345"/></proof>
83 <proof prover="4"><result status="valid" time="0.010000" steps="24"/></proof>
84 <proof prover="5"><result status="valid" time="0.041600" steps="10308"/></proof>
86 <goal name="compare_up_to_spaces'vc.11" expl="loop invariant preservation" proved="true">
87 <proof prover="0"><result status="valid" time="0.043761" steps="6690"/></proof>
88 <proof prover="1"><result status="valid" time="0.020000" steps="53174"/></proof>
89 <proof prover="2"><result status="valid" time="0.060000" steps="6722"/></proof>
90 <proof prover="4"><result status="valid" time="0.010000" steps="24"/></proof>
92 <goal name="compare_up_to_spaces'vc.12" expl="loop invariant preservation" proved="true">
93 <proof prover="0"><result status="valid" time="0.036830" steps="6769"/></proof>
94 <proof prover="2"><result status="valid" time="0.060000" steps="6813"/></proof>
95 <proof prover="4"><result status="valid" time="0.010000" steps="42"/></proof>
97 <goal name="compare_up_to_spaces'vc.13" expl="assertion" proved="true">
98 <proof prover="1"><result status="valid" time="1.377538" steps="994887"/></proof>
100 <goal name="compare_up_to_spaces'vc.14" expl="assertion" proved="true">
101 <proof prover="1"><result status="valid" time="1.313257" steps="996002"/></proof>
103 <goal name="compare_up_to_spaces'vc.15" expl="postcondition" proved="true">
104 <proof prover="2"><result status="valid" time="0.339623" steps="29880"/></proof>
105 <proof prover="4"><result status="valid" time="0.010000" steps="161"/></proof>
106 <proof prover="6"><result status="valid" time="0.045457" steps="269"/></proof>
108 <goal name="compare_up_to_spaces'vc.16" expl="postcondition" proved="true">
109 <proof prover="0"><result status="valid" time="0.063830" steps="7936"/></proof>
110 <proof prover="2"><result status="valid" time="0.100000" steps="8016"/></proof>
111 <proof prover="4"><result status="valid" time="0.040000" steps="48"/></proof>
113 <goal name="compare_up_to_spaces'vc.17" expl="loop variant decrease" proved="true">
114 <proof prover="1"><result status="valid" time="0.020000" steps="53527"/></proof>
115 <proof prover="2"><result status="valid" time="0.070000" steps="7227"/></proof>
116 <proof prover="4"><result status="valid" time="0.010000" steps="26"/></proof>
117 <proof prover="5"><result status="valid" time="0.065255" steps="11279"/></proof>
119 <goal name="compare_up_to_spaces'vc.18" expl="loop invariant preservation" proved="true">
120 <proof prover="0"><result status="valid" time="0.040505" steps="7101"/></proof>
121 <proof prover="1"><result status="valid" time="0.020000" steps="54702"/></proof>
122 <proof prover="2"><result status="valid" time="0.080000" steps="7121"/></proof>
123 <proof prover="4"><result status="valid" time="0.010000" steps="26"/></proof>
125 <goal name="compare_up_to_spaces'vc.19" expl="loop invariant preservation" proved="true">
126 <proof prover="1"><result status="valid" time="0.020000" steps="54873"/></proof>
127 <proof prover="2"><result status="valid" time="0.070000" steps="7172"/></proof>
128 <proof prover="4"><result status="valid" time="0.010000" steps="28"/></proof>
129 <proof prover="5"><result status="valid" time="0.063562" steps="11187"/></proof>
131 <goal name="compare_up_to_spaces'vc.20" expl="loop invariant preservation" proved="true">
132 <proof prover="2"><result status="valid" time="0.090000" steps="8469"/></proof>
133 <proof prover="4"><result status="valid" time="0.020000" steps="80"/></proof>
134 <proof prover="6"><result status="valid" time="0.027503" steps="92"/></proof>
136 <goal name="compare_up_to_spaces'vc.21" expl="postcondition" proved="true">
137 <proof prover="0"><result status="valid" time="0.111140" steps="19436"/></proof>
138 <proof prover="1"><result status="valid" time="0.020000" steps="51331"/></proof>
139 <proof prover="2"><result status="valid" time="0.255787" steps="23002"/></proof>
140 <proof prover="4"><result status="valid" time="0.010000" steps="57"/></proof>