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="Z3" version="4.8.10" timelimit="1" steplimit="0" memlimit="1000"/>
6 <prover id="2" name="Z3" version="4.12.2" timelimit="5" steplimit="0" memlimit="1000"/>
7 <prover id="3" name="CVC4" version="1.8" timelimit="5" steplimit="0" memlimit="1000"/>
8 <prover id="4" name="Alt-Ergo" version="2.4.3" timelimit="5" steplimit="0" memlimit="1000"/>
9 <file format="whyml" proved="true">
10 <path name=".."/><path name="just_join.mlw"/>
11 <theory name="Top" proved="true">
12 <goal name="height'vc" expl="VC for height" proved="true">
13 <proof prover="1"><result status="valid" time="0.025206" steps="1973"/></proof>
15 <goal name="rotate_left'vc" expl="VC for rotate_left" proved="true">
16 <proof prover="2"><result status="valid" time="0.070015" steps="178576"/></proof>
18 <goal name="rotate_right'vc" expl="VC for rotate_right" proved="true">
19 <proof prover="2"><result status="valid" time="0.024635" steps="72026"/></proof>
21 <goal name="join_right'vc" expl="VC for join_right" proved="true">
22 <transf name="split_vc" proved="true" >
23 <goal name="join_right'vc.0" expl="precondition" proved="true">
24 <proof prover="1"><result status="valid" time="0.039907" steps="26504"/></proof>
26 <goal name="join_right'vc.1" expl="precondition" proved="true">
27 <proof prover="1"><result status="valid" time="0.031055" steps="30441"/></proof>
29 <goal name="join_right'vc.2" expl="precondition" proved="true">
30 <proof prover="1"><result status="valid" time="0.017755" steps="12932"/></proof>
32 <goal name="join_right'vc.3" expl="precondition" proved="true">
33 <proof prover="1"><result status="valid" time="0.037968" steps="19418"/></proof>
35 <goal name="join_right'vc.4" expl="precondition" proved="true">
36 <proof prover="1"><result status="valid" time="0.681139" steps="6071258"/></proof>
38 <goal name="join_right'vc.5" expl="precondition" proved="true">
39 <proof prover="1"><result status="valid" time="0.012761" steps="1201"/></proof>
41 <goal name="join_right'vc.6" expl="variant decrease" proved="true">
42 <proof prover="1"><result status="valid" time="0.034275" steps="10808"/></proof>
44 <goal name="join_right'vc.7" expl="precondition" proved="true">
45 <proof prover="1"><result status="valid" time="0.020232" steps="10366"/></proof>
47 <goal name="join_right'vc.8" expl="precondition" proved="true">
48 <proof prover="1"><result status="valid" time="0.015468" steps="11070"/></proof>
50 <goal name="join_right'vc.9" expl="precondition" proved="true">
51 <proof prover="1"><result status="valid" time="0.016371" steps="1137"/></proof>
53 <goal name="join_right'vc.10" expl="precondition" proved="true">
54 <proof prover="1"><result status="valid" time="0.016020" steps="14434"/></proof>
56 <goal name="join_right'vc.11" expl="precondition" proved="true">
57 <proof prover="1"><result status="valid" time="0.028024" steps="11079"/></proof>
59 <goal name="join_right'vc.12" expl="precondition" proved="true">
60 <proof prover="1"><result status="valid" time="0.019310" steps="19193"/></proof>
62 <goal name="join_right'vc.13" expl="precondition" proved="true">
63 <proof prover="3"><result status="valid" time="0.282428" steps="31550"/></proof>
65 <goal name="join_right'vc.14" expl="precondition" proved="true">
66 <proof prover="1"><result status="valid" time="0.014451" steps="14590"/></proof>
68 <goal name="join_right'vc.15" expl="unreachable point" proved="true">
69 <proof prover="3"><result status="valid" time="0.020000" steps="4986"/></proof>
71 <goal name="join_right'vc.16" expl="postcondition" proved="true">
72 <proof prover="1"><result status="valid" time="0.041924" steps="82640"/></proof>
74 <goal name="join_right'vc.17" expl="postcondition" proved="true">
75 <proof prover="3"><result status="valid" time="0.323941" steps="34580"/></proof>
77 <goal name="join_right'vc.18" expl="postcondition" proved="true">
78 <proof prover="1"><result status="valid" time="0.630636" steps="1991056"/></proof>
80 <goal name="join_right'vc.19" expl="postcondition" proved="true">
81 <proof prover="1"><result status="valid" time="0.082333" steps="304593"/></proof>
83 <goal name="join_right'vc.20" expl="postcondition" proved="true">
84 <proof prover="1"><result status="valid" time="0.060982" steps="255053"/></proof>
88 <goal name="join_left'vc" expl="VC for join_left" proved="true">
89 <transf name="split_vc" proved="true" >
90 <goal name="join_left'vc.0" expl="precondition" proved="true">
91 <proof prover="1"><result status="valid" time="0.031082" steps="23290"/></proof>
93 <goal name="join_left'vc.1" expl="precondition" proved="true">
94 <proof prover="1"><result status="valid" time="0.023721" steps="25784"/></proof>
96 <goal name="join_left'vc.2" expl="precondition" proved="true">
97 <proof prover="1"><result status="valid" time="0.025554" steps="12967"/></proof>
99 <goal name="join_left'vc.3" expl="precondition" proved="true">
100 <proof prover="1"><result status="valid" time="0.024128" steps="20622"/></proof>
102 <goal name="join_left'vc.4" expl="precondition" proved="true">
103 <proof prover="3"><result status="valid" time="0.046572" steps="15242"/></proof>
105 <goal name="join_left'vc.5" expl="precondition" proved="true">
106 <proof prover="1"><result status="valid" time="0.016621" steps="1201"/></proof>
108 <goal name="join_left'vc.6" expl="variant decrease" proved="true">
109 <proof prover="1"><result status="valid" time="0.020190" steps="10808"/></proof>
111 <goal name="join_left'vc.7" expl="precondition" proved="true">
112 <proof prover="1"><result status="valid" time="0.020035" steps="10368"/></proof>
114 <goal name="join_left'vc.8" expl="precondition" proved="true">
115 <proof prover="1"><result status="valid" time="0.016535" steps="1094"/></proof>
117 <goal name="join_left'vc.9" expl="precondition" proved="true">
118 <proof prover="1"><result status="valid" time="0.024856" steps="11101"/></proof>
120 <goal name="join_left'vc.10" expl="precondition" proved="true">
121 <proof prover="1"><result status="valid" time="0.028745" steps="14446"/></proof>
123 <goal name="join_left'vc.11" expl="precondition" proved="true">
124 <proof prover="1"><result status="valid" time="0.026897" steps="11081"/></proof>
126 <goal name="join_left'vc.12" expl="precondition" proved="true">
127 <proof prover="1"><result status="valid" time="0.024132" steps="21144"/></proof>
129 <goal name="join_left'vc.13" expl="precondition" proved="true">
130 <proof prover="3"><result status="valid" time="0.269407" steps="32864"/></proof>
132 <goal name="join_left'vc.14" expl="precondition" proved="true">
133 <proof prover="1"><result status="valid" time="0.024506" steps="14528"/></proof>
135 <goal name="join_left'vc.15" expl="unreachable point" proved="true">
136 <proof prover="4"><result status="valid" time="0.006888" steps="30"/></proof>
138 <goal name="join_left'vc.16" expl="postcondition" proved="true">
139 <proof prover="1"><result status="valid" time="0.047740" steps="104897"/></proof>
141 <goal name="join_left'vc.17" expl="postcondition" proved="true">
142 <proof prover="1"><result status="valid" time="0.461034" steps="1439780"/></proof>
144 <goal name="join_left'vc.18" expl="postcondition" proved="true">
145 <proof prover="2"><result status="valid" time="0.054528" steps="233665"/></proof>
147 <goal name="join_left'vc.19" expl="postcondition" proved="true">
148 <proof prover="1"><result status="valid" time="0.110656" steps="258753"/></proof>
150 <goal name="join_left'vc.20" expl="postcondition" proved="true">
151 <proof prover="1"><result status="valid" time="0.078752" steps="177756"/></proof>
155 <goal name="join'vc" expl="VC for join" proved="true">
156 <proof prover="1"><result status="valid" time="0.131817" steps="54115"/></proof>
158 <goal name="split'vc" expl="VC for split" proved="true">
159 <proof prover="1"><result status="valid" time="0.141631" steps="480328"/></proof>
161 <goal name="insert'vc" expl="VC for insert" proved="true">
162 <proof prover="1"><result status="valid" time="0.062232" steps="11476"/></proof>
164 <goal name="split_last'vc" expl="VC for split_last" proved="true">
165 <proof prover="1"><result status="valid" time="0.314753" steps="581333"/></proof>
167 <goal name="join2'vc" expl="VC for join2" proved="true">
168 <proof prover="1"><result status="valid" time="0.220032" steps="661076"/></proof>
170 <goal name="delete'vc" expl="VC for delete" proved="true">
171 <proof prover="1"><result status="valid" time="0.045958" steps="9954"/></proof>