<?xml version="1.0" encoding="UTF-8"?>
<!DOCTYPE why3session PUBLIC "-//Why3//proof session v5//EN"
"http://why3.lri.fr/why3session.dtd">
<why3session shape_version="6">
<prover id="1" name="CVC5" version="1.0.5" timelimit="5" steplimit="0" memlimit="1000"/>
<prover id="3" name="CVC4" version="1.8" timelimit="1" steplimit="0" memlimit="1000"/>
<file format="whyml" proved="true">
<path name=".."/><path name="vstte12_combinators.mlw"/>
<theory name="Combinators" proved="true">
 <goal name="eq&#39;vc" expl="VC for eq" proved="true">
 <proof prover="1"><result status="valid" time="0.010000" steps="1036"/></proof>
 </goal>
 <goal name="subst_c&#39;vc" expl="VC for subst_c" proved="true">
 <proof prover="1"><result status="valid" time="0.020000" steps="3729"/></proof>
 </goal>
 <goal name="subst_c_commute" proved="true">
 <transf name="induction_ty_lex" proved="true" >
  <goal name="subst_c_commute.0" proved="true">
  <proof prover="1"><result status="valid" time="0.020000" steps="5116"/></proof>
  </goal>
 </transf>
 </goal>
 <goal name="reduction&#39;vc" expl="VC for reduction" proved="true">
 <proof prover="3" timelimit="5"><result status="valid" time="0.050000" steps="17832"/></proof>
 </goal>
 <goal name="test_SKK&#39;vc" expl="VC for test_SKK" proved="true">
 <proof prover="1"><result status="valid" time="0.010000" steps="2652"/></proof>
 </goal>
 <goal name="reduce_step&#39;vc" expl="VC for reduce_step" proved="true">
 <proof prover="3"><result status="valid" time="0.090000" steps="21534"/></proof>
 </goal>
 <goal name="value_in_context&#39;vc" expl="VC for value_in_context" proved="true">
 <proof prover="1"><result status="valid" time="0.030000" steps="4143"/></proof>
 </goal>
 <goal name="irreducible_is_value&#39;vc" expl="VC for irreducible_is_value" proved="true">
 <proof prover="1"><result status="valid" time="3.493553" steps="552712"/></proof>
 </goal>
 <goal name="reduction2&#39;vc" expl="VC for reduction2" proved="true">
 <transf name="split_vc" proved="true" >
  <goal name="reduction2&#39;vc.0" expl="variant decrease" proved="true">
  <proof prover="3"><result status="valid" time="0.040000" steps="5852"/></proof>
  </goal>
  <goal name="reduction2&#39;vc.1" expl="precondition" proved="true">
  <proof prover="3"><result status="valid" time="0.040000" steps="5689"/></proof>
  </goal>
  <goal name="reduction2&#39;vc.2" expl="variant decrease" proved="true">
  <proof prover="3"><result status="valid" time="0.050000" steps="6366"/></proof>
  </goal>
  <goal name="reduction2&#39;vc.3" expl="precondition" proved="true">
  <proof prover="3"><result status="valid" time="0.040000" steps="6285"/></proof>
  </goal>
  <goal name="reduction2&#39;vc.4" expl="unreachable point" proved="true">
  <proof prover="3"><result status="valid" time="0.080000" steps="12403"/></proof>
  </goal>
  <goal name="reduction2&#39;vc.5" expl="unreachable point" proved="true">
  <proof prover="3"><result status="valid" time="0.050000" steps="6701"/></proof>
  </goal>
  <goal name="reduction2&#39;vc.6" expl="unreachable point" proved="true">
  <proof prover="3"><result status="valid" time="0.040000" steps="5598"/></proof>
  </goal>
  <goal name="reduction2&#39;vc.7" expl="postcondition" proved="true">
  <proof prover="1" timelimit="1"><result status="valid" time="0.050000" steps="10714"/></proof>
  </goal>
  <goal name="reduction2&#39;vc.8" expl="postcondition" proved="true">
  <transf name="split_vc" proved="true" >
   <goal name="reduction2&#39;vc.8.0" expl="postcondition" proved="true">
   <proof prover="3"><result status="valid" time="0.040000" steps="5302"/></proof>
   </goal>
   <goal name="reduction2&#39;vc.8.1" expl="postcondition" proved="true">
   <proof prover="3"><result status="valid" time="0.080000" steps="12427"/></proof>
   </goal>
  </transf>
  </goal>
 </transf>
 </goal>
 <goal name="ks&#39;vc" expl="VC for ks" proved="true">
 <proof prover="1"><result status="valid" time="0.020000" steps="3248"/></proof>
 </goal>
 <goal name="reduction3&#39;vc" expl="VC for reduction3" proved="true">
 <proof prover="3"><result status="valid" time="0.190000" steps="34172"/></proof>
 </goal>
 <goal name="ks_even_odd&#39;vc" expl="VC for ks_even_odd" proved="true">
 <proof prover="1"><result status="valid" time="0.030000" steps="7508"/></proof>
 </goal>
</theory>
</file>
</why3session>
