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="CVC5" version="1.0.5" timelimit="5" steplimit="0" memlimit="1000"/>
7 <prover id="2" name="Z3" version="4.13.2" timelimit="5" steplimit="0" memlimit="1000"/>
8 <prover id="3" name="CVC4" version="1.8" timelimit="1" steplimit="0" memlimit="1000"/>
9 <prover id="4" name="Alt-Ergo" version="2.6.0" timelimit="5" steplimit="0" memlimit="1000"/>
10 <file format="whyml" proved="true">
11 <path name=".."/><path name="vstte12_combinators.mlw"/>
12 <theory name="Combinators" proved="true">
13 <goal name="eq'vc" expl="VC for eq" proved="true">
14 <proof prover="1"><result status="valid" time="0.010000" steps="1036"/></proof>
16 <goal name="subst_c'vc" expl="VC for subst_c" proved="true">
17 <proof prover="1"><result status="valid" time="0.020000" steps="3322"/></proof>
19 <goal name="subst_c_commute" proved="true">
20 <transf name="induction_ty_lex" proved="true" >
21 <goal name="subst_c_commute.0" proved="true">
22 <proof prover="1"><result status="valid" time="0.020000" steps="4709"/></proof>
26 <goal name="reduction'vc" expl="VC for reduction" proved="true">
27 <proof prover="3" timelimit="5"><result status="valid" time="2.874564" steps="1569956"/></proof>
29 <goal name="test_SKK'vc" expl="VC for test_SKK" proved="true">
30 <proof prover="1"><result status="valid" time="0.010000" steps="2652"/></proof>
32 <goal name="reduce_step'vc" expl="VC for reduce_step" proved="true">
33 <proof prover="3"><result status="valid" time="0.090000" steps="14990"/></proof>
35 <goal name="value_in_context'vc" expl="VC for value_in_context" proved="true">
36 <proof prover="1"><result status="valid" time="0.030000" steps="3731"/></proof>
38 <goal name="irreducible_is_value'vc" expl="VC for irreducible_is_value" proved="true">
39 <proof prover="4"><result status="valid" time="0.070191" steps="677"/></proof>
41 <goal name="reduction2'vc" expl="VC for reduction2" proved="true">
42 <transf name="split_vc" proved="true" >
43 <goal name="reduction2'vc.0" expl="variant decrease" proved="true">
44 <proof prover="3"><result status="valid" time="0.040000" steps="3303"/></proof>
46 <goal name="reduction2'vc.1" expl="precondition" proved="true">
47 <proof prover="3"><result status="valid" time="0.040000" steps="3655"/></proof>
49 <goal name="reduction2'vc.2" expl="variant decrease" proved="true">
50 <proof prover="3"><result status="valid" time="0.050000" steps="3389"/></proof>
52 <goal name="reduction2'vc.3" expl="precondition" proved="true">
53 <proof prover="3"><result status="valid" time="0.040000" steps="4256"/></proof>
55 <goal name="reduction2'vc.4" expl="unreachable point" proved="true">
56 <proof prover="3"><result status="valid" time="0.080000" steps="15879"/></proof>
58 <goal name="reduction2'vc.5" expl="unreachable point" proved="true">
59 <proof prover="3"><result status="valid" time="0.050000" steps="4651"/></proof>
61 <goal name="reduction2'vc.6" expl="unreachable point" proved="true">
62 <proof prover="3"><result status="valid" time="0.040000" steps="3334"/></proof>
64 <goal name="reduction2'vc.7" expl="postcondition" proved="true">
65 <proof prover="1" timelimit="1"><result status="valid" time="0.050000" steps="10506"/></proof>
67 <goal name="reduction2'vc.8" expl="postcondition" proved="true">
68 <transf name="split_vc" proved="true" >
69 <goal name="reduction2'vc.8.0" expl="postcondition" proved="true">
70 <proof prover="3"><result status="valid" time="0.040000" steps="3203"/></proof>
72 <goal name="reduction2'vc.8.1" expl="postcondition" proved="true">
73 <proof prover="3"><result status="valid" time="0.504798" steps="186576"/></proof>
79 <goal name="ks'vc" expl="VC for ks" proved="true">
80 <proof prover="1"><result status="valid" time="0.020000" steps="2839"/></proof>
82 <goal name="reduction3'vc" expl="VC for reduction3" proved="true">
83 <transf name="split_vc" proved="true" >
84 <goal name="reduction3'vc.0" expl="variant decrease" proved="true">
85 <proof prover="2"><result status="valid" time="0.004811" steps="2229"/></proof>
87 <goal name="reduction3'vc.1" expl="precondition" proved="true">
88 <proof prover="3" timelimit="5"><result status="valid" time="0.058131" steps="7557"/></proof>
90 <goal name="reduction3'vc.2" expl="variant decrease" proved="true">
91 <proof prover="2"><result status="valid" time="0.013261" steps="24909"/></proof>
93 <goal name="reduction3'vc.3" expl="precondition" proved="true">
94 <proof prover="3" timelimit="5"><result status="valid" time="0.055053" steps="8409"/></proof>
96 <goal name="reduction3'vc.4" expl="unreachable point" proved="true">
97 <proof prover="4"><result status="valid" time="0.054732" steps="296"/></proof>
99 <goal name="reduction3'vc.5" expl="unreachable point" proved="true">
100 <proof prover="4"><result status="valid" time="0.036443" steps="111"/></proof>
102 <goal name="reduction3'vc.6" expl="unreachable point" proved="true">
103 <proof prover="0"><result status="valid" time="0.051503" steps="6173"/></proof>
105 <goal name="reduction3'vc.7" expl="postcondition" proved="true">
106 <proof prover="3" timelimit="5"><result status="valid" time="0.235672" steps="43742"/></proof>
108 <goal name="reduction3'vc.8" expl="postcondition" proved="true">
109 <proof prover="0"><result status="valid" time="0.117238" steps="14707"/></proof>
111 <goal name="reduction3'vc.9" expl="postcondition" proved="true">
112 <proof prover="0"><result status="valid" time="0.075130" steps="9771"/></proof>
114 <goal name="reduction3'vc.10" expl="postcondition" proved="true">
115 <proof prover="0"><result status="valid" time="0.114376" steps="14804"/></proof>
119 <goal name="ks_even_odd'vc" expl="VC for ks_even_odd" proved="true">
120 <proof prover="1"><result status="valid" time="0.030000" steps="6174"/></proof>