<?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="0" name="Alt-Ergo" version="2.2.0" timelimit="1" steplimit="0" memlimit="1000"/>
<prover id="1" name="Z3" version="4.6.0" timelimit="5" steplimit="0" memlimit="1000"/>
<prover id="2" name="Alt-Ergo" version="2.3.0" timelimit="1" steplimit="0" memlimit="1000"/>
<prover id="3" name="CVC4" version="1.6" timelimit="1" steplimit="0" memlimit="1000"/>
<prover id="4" name="CVC3" version="2.4.1" timelimit="5" steplimit="0" memlimit="2000"/>
<prover id="5" name="CVC4" version="1.7" timelimit="5" steplimit="0" memlimit="2000"/>
<prover id="7" name="CVC4" version="1.8" alternative="strings" timelimit="5" steplimit="0" memlimit="2000"/>
<file format="whyml" proved="true">
<path name=".."/><path name="stringlemmas.mlw"/>
<theory name="String_lemmas" proved="true">
 <goal name="in_base_concat&#39;vc" expl="VC for in_base_concat" proved="true">
 <proof prover="3"><result status="valid" time="0.06" steps="24661"/></proof>
 </goal>
 <goal name="svalue_le_sub&#39;vc" expl="VC for svalue_le_sub" proved="true">
 <proof prover="3"><result status="valid" time="0.04" steps="21276"/></proof>
 </goal>
 <goal name="svalue_le_sub_tail&#39;vc" expl="VC for svalue_le_sub_tail" proved="true">
 <transf name="split_vc" proved="true" >
  <goal name="svalue_le_sub_tail&#39;vc.0" expl="variant decrease" proved="true">
  <proof prover="3"><result status="valid" time="0.04" steps="20063"/></proof>
  </goal>
  <goal name="svalue_le_sub_tail&#39;vc.1" expl="precondition" proved="true">
  <proof prover="3"><result status="valid" time="0.08" steps="20032"/></proof>
  </goal>
  <goal name="svalue_le_sub_tail&#39;vc.2" expl="precondition" proved="true">
  <proof prover="4"><result status="valid" time="0.04"/></proof>
  </goal>
  <goal name="svalue_le_sub_tail&#39;vc.3" expl="precondition" proved="true">
  <proof prover="3"><result status="valid" time="0.07" steps="20060"/></proof>
  </goal>
  <goal name="svalue_le_sub_tail&#39;vc.4" expl="postcondition" proved="true">
  <proof prover="4"><result status="valid" time="0.13"/></proof>
  </goal>
 </transf>
 </goal>
 <goal name="svalue_le_sub_concat&#39;vc" expl="VC for svalue_le_sub_concat" proved="true">
 <transf name="split_vc" proved="true" >
  <goal name="svalue_le_sub_concat&#39;vc.0" expl="assertion" proved="true">
  <proof prover="3"><result status="valid" time="0.09" steps="20339"/></proof>
  </goal>
  <goal name="svalue_le_sub_concat&#39;vc.1" expl="variant decrease" proved="true">
  <proof prover="3"><result status="valid" time="0.07" steps="20390"/></proof>
  </goal>
  <goal name="svalue_le_sub_concat&#39;vc.2" expl="precondition" proved="true">
  <proof prover="3"><result status="valid" time="0.04" steps="20366"/></proof>
  </goal>
  <goal name="svalue_le_sub_concat&#39;vc.3" expl="precondition" proved="true">
  <proof prover="3"><result status="valid" time="0.18" steps="26321"/></proof>
  </goal>
  <goal name="svalue_le_sub_concat&#39;vc.4" expl="precondition" proved="true">
  <proof prover="4"><result status="valid" time="0.05"/></proof>
  </goal>
  <goal name="svalue_le_sub_concat&#39;vc.5" expl="postcondition" proved="true">
  <proof prover="4"><result status="valid" time="0.26"/></proof>
  </goal>
 </transf>
 </goal>
 <goal name="svalue_le_sub_head&#39;vc" expl="VC for svalue_le_sub_head" proved="true">
 <proof prover="3"><result status="valid" time="0.20" steps="26623"/></proof>
 </goal>
 <goal name="svalue_le_sub_frame&#39;vc" expl="VC for svalue_le_sub_frame" proved="true">
 <transf name="split_vc" proved="true" >
  <goal name="svalue_le_sub_frame&#39;vc.0" expl="variant decrease" proved="true">
  <proof prover="3"><result status="valid" time="0.07" steps="22391"/></proof>
  </goal>
  <goal name="svalue_le_sub_frame&#39;vc.1" expl="precondition" proved="true">
  <proof prover="3"><result status="valid" time="0.10" steps="26336"/></proof>
  </goal>
  <goal name="svalue_le_sub_frame&#39;vc.2" expl="postcondition" proved="true">
  <proof prover="0"><result status="valid" time="0.26" steps="135"/></proof>
  </goal>
 </transf>
 </goal>
 <goal name="svalue_le_tail&#39;vc" expl="VC for svalue_le_tail" proved="true">
 <transf name="split_vc" proved="true" >
  <goal name="svalue_le_tail&#39;vc.0" expl="precondition" proved="true">
  <proof prover="3"><result status="valid" time="0.05" steps="21309"/></proof>
  </goal>
  <goal name="svalue_le_tail&#39;vc.1" expl="precondition" proved="true">
  <proof prover="3"><result status="valid" time="0.05" steps="22154"/></proof>
  </goal>
  <goal name="svalue_le_tail&#39;vc.2" expl="precondition" proved="true">
  <proof prover="3"><result status="valid" time="0.08" steps="21057"/></proof>
  </goal>
  <goal name="svalue_le_tail&#39;vc.3" expl="postcondition" proved="true">
  <proof prover="3"><result status="valid" time="0.17" steps="28124"/></proof>
  </goal>
 </transf>
 </goal>
 <goal name="svalue_le_concat&#39;vc" expl="VC for svalue_le_concat" proved="true">
 <transf name="split_vc" proved="true" >
  <goal name="svalue_le_concat&#39;vc.0" expl="precondition" proved="true">
  <proof prover="3"><result status="valid" time="0.06" steps="21352"/></proof>
  </goal>
  <goal name="svalue_le_concat&#39;vc.1" expl="precondition" proved="true">
  <proof prover="3"><result status="valid" time="0.05" steps="22197"/></proof>
  </goal>
  <goal name="svalue_le_concat&#39;vc.2" expl="precondition" proved="true">
  <proof prover="3"><result status="valid" time="0.06" steps="21100"/></proof>
  </goal>
  <goal name="svalue_le_concat&#39;vc.3" expl="postcondition" proved="true">
  <proof prover="3"><result status="valid" time="0.21" steps="27496"/></proof>
  </goal>
 </transf>
 </goal>
 <goal name="svalue_sub&#39;vc" expl="VC for svalue_sub" proved="true">
 <proof prover="3"><result status="valid" time="0.06" steps="23032"/></proof>
 </goal>
 <goal name="svalue_sub_tail&#39;vc" expl="VC for svalue_sub_tail" proved="true">
 <transf name="split_vc" proved="true" >
  <goal name="svalue_sub_tail&#39;vc.0" expl="variant decrease" proved="true">
  <proof prover="4"><result status="valid" time="0.07"/></proof>
  </goal>
  <goal name="svalue_sub_tail&#39;vc.1" expl="precondition" proved="true">
  <proof prover="3"><result status="valid" time="0.10" steps="21480"/></proof>
  </goal>
  <goal name="svalue_sub_tail&#39;vc.2" expl="precondition" proved="true">
  <proof prover="3"><result status="valid" time="0.20" steps="28372"/></proof>
  </goal>
  <goal name="svalue_sub_tail&#39;vc.3" expl="precondition" proved="true">
  <proof prover="3"><result status="valid" time="0.04" steps="21508"/></proof>
  </goal>
  <goal name="svalue_sub_tail&#39;vc.4" expl="postcondition" proved="true">
  <proof prover="4"><result status="valid" time="0.24"/></proof>
  </goal>
 </transf>
 </goal>
 <goal name="svalue_sub_concat&#39;vc" expl="VC for svalue_sub_concat" proved="true">
 <transf name="split_vc" proved="true" >
  <goal name="svalue_sub_concat&#39;vc.0" expl="variant decrease" proved="true">
  <proof prover="3"><result status="valid" time="0.06" steps="21823"/></proof>
  </goal>
  <goal name="svalue_sub_concat&#39;vc.1" expl="precondition" proved="true">
  <proof prover="3"><result status="valid" time="0.05" steps="21807"/></proof>
  </goal>
  <goal name="svalue_sub_concat&#39;vc.2" expl="precondition" proved="true">
  <proof prover="3"><result status="valid" time="0.11" steps="28723"/></proof>
  </goal>
  <goal name="svalue_sub_concat&#39;vc.3" expl="precondition" proved="true">
  <proof prover="3"><result status="valid" time="0.09" steps="21835"/></proof>
  </goal>
  <goal name="svalue_sub_concat&#39;vc.4" expl="postcondition" proved="true">
  <proof prover="4"><result status="valid" time="0.34"/></proof>
  </goal>
 </transf>
 </goal>
 <goal name="svalue_sub_head&#39;vc" expl="VC for svalue_sub_head" proved="true">
 <proof prover="3"><result status="valid" time="0.20" steps="28474"/></proof>
 </goal>
 <goal name="svalue_sub_frame&#39;vc" expl="VC for svalue_sub_frame" proved="true">
 <transf name="split_vc" proved="true" >
  <goal name="svalue_sub_frame&#39;vc.0" expl="variant decrease" proved="true">
  <proof prover="3"><result status="valid" time="0.12" steps="23935"/></proof>
  </goal>
  <goal name="svalue_sub_frame&#39;vc.1" expl="precondition" proved="true">
  <proof prover="0"><result status="valid" time="0.12" steps="105"/></proof>
  </goal>
  <goal name="svalue_sub_frame&#39;vc.2" expl="postcondition" proved="true">
  <proof prover="2" timelimit="5" memlimit="2000"><result status="valid" time="0.19" steps="137"/></proof>
  </goal>
 </transf>
 </goal>
 <goal name="svalue_le_sub_lower_bound&#39;vc" expl="VC for svalue_le_sub_lower_bound" proved="true">
 <transf name="split_vc" proved="true" >
  <goal name="svalue_le_sub_lower_bound&#39;vc.0" expl="variant decrease" proved="true">
  <proof prover="3"><result status="valid" time="0.09" steps="24158"/></proof>
  </goal>
  <goal name="svalue_le_sub_lower_bound&#39;vc.1" expl="precondition" proved="true">
  <proof prover="3"><result status="valid" time="0.06" steps="22446"/></proof>
  </goal>
  <goal name="svalue_le_sub_lower_bound&#39;vc.2" expl="postcondition" proved="true">
  <proof prover="0"><result status="valid" time="0.04" steps="133"/></proof>
  </goal>
 </transf>
 </goal>
 <goal name="svalue_sub_lower_bound&#39;vc" expl="VC for svalue_sub_lower_bound" proved="true">
 <transf name="split_vc" proved="true" >
  <goal name="svalue_sub_lower_bound&#39;vc.0" expl="variant decrease" proved="true">
  <proof prover="3"><result status="valid" time="0.08" steps="24255"/></proof>
  </goal>
  <goal name="svalue_sub_lower_bound&#39;vc.1" expl="precondition" proved="true">
  <proof prover="0"><result status="valid" time="0.04" steps="29"/></proof>
  </goal>
  <goal name="svalue_sub_lower_bound&#39;vc.2" expl="postcondition" proved="true">
  <proof prover="2" timelimit="5" memlimit="2000"><result status="valid" time="0.16" steps="135"/></proof>
  </goal>
 </transf>
 </goal>
 <goal name="svalue_le_sub_upper_bound&#39;vc" expl="VC for svalue_le_sub_upper_bound" proved="true">
 <transf name="split_vc" proved="true" >
  <goal name="svalue_le_sub_upper_bound&#39;vc.0" expl="precondition" proved="true">
  <proof prover="1" memlimit="2000"><result status="valid" time="0.02" steps="78627"/></proof>
  </goal>
  <goal name="svalue_le_sub_upper_bound&#39;vc.1" expl="precondition" proved="true">
  <proof prover="3" timelimit="5" memlimit="2000"><result status="valid" time="0.12" steps="23501"/></proof>
  </goal>
  <goal name="svalue_le_sub_upper_bound&#39;vc.2" expl="precondition" proved="true">
  <proof prover="3"><result status="valid" time="0.06" steps="22761"/></proof>
  </goal>
  <goal name="svalue_le_sub_upper_bound&#39;vc.3" expl="variant decrease" proved="true">
  <proof prover="3"><result status="valid" time="0.09" steps="22847"/></proof>
  </goal>
  <goal name="svalue_le_sub_upper_bound&#39;vc.4" expl="precondition" proved="true">
  <proof prover="3"><result status="valid" time="0.08" steps="22824"/></proof>
  </goal>
  <goal name="svalue_le_sub_upper_bound&#39;vc.5" expl="precondition" proved="true">
  <proof prover="3"><result status="valid" time="0.06" steps="24657"/></proof>
  </goal>
  <goal name="svalue_le_sub_upper_bound&#39;vc.6" expl="precondition" proved="true">
  <proof prover="3"><result status="valid" time="0.23" steps="33573"/></proof>
  </goal>
  <goal name="svalue_le_sub_upper_bound&#39;vc.7" expl="assertion" proved="true">
  <proof prover="1" memlimit="2000"><result status="valid" time="0.06" steps="89208"/></proof>
  </goal>
  <goal name="svalue_le_sub_upper_bound&#39;vc.8" expl="postcondition" proved="true">
  <proof prover="3"><result status="valid" time="0.11" steps="30157"/></proof>
  </goal>
 </transf>
 </goal>
 <goal name="svalue_sub_upper_bound&#39;vc" expl="VC for svalue_sub_upper_bound" proved="true">
 <transf name="split_vc" proved="true" >
  <goal name="svalue_sub_upper_bound&#39;vc.0" expl="precondition" proved="true">
  <proof prover="3"><result status="valid" time="0.12" steps="24675"/></proof>
  </goal>
  <goal name="svalue_sub_upper_bound&#39;vc.1" expl="precondition" proved="true">
  <proof prover="3"><result status="valid" time="0.10" steps="23709"/></proof>
  </goal>
  <goal name="svalue_sub_upper_bound&#39;vc.2" expl="precondition" proved="true">
  <proof prover="3"><result status="valid" time="0.08" steps="22969"/></proof>
  </goal>
  <goal name="svalue_sub_upper_bound&#39;vc.3" expl="variant decrease" proved="true">
  <proof prover="3"><result status="valid" time="0.06" steps="23059"/></proof>
  </goal>
  <goal name="svalue_sub_upper_bound&#39;vc.4" expl="precondition" proved="true">
  <proof prover="3"><result status="valid" time="0.09" steps="23032"/></proof>
  </goal>
  <goal name="svalue_sub_upper_bound&#39;vc.5" expl="precondition" proved="true">
  <proof prover="3"><result status="valid" time="0.17" steps="24871"/></proof>
  </goal>
  <goal name="svalue_sub_upper_bound&#39;vc.6" expl="precondition" proved="true">
  <proof prover="3"><result status="valid" time="0.24" steps="33893"/></proof>
  </goal>
  <goal name="svalue_sub_upper_bound&#39;vc.7" expl="assertion" proved="true">
  <proof prover="1" timelimit="1"><result status="valid" time="0.02" steps="90033"/></proof>
  </goal>
  <goal name="svalue_sub_upper_bound&#39;vc.8" expl="postcondition" proved="true">
  <proof prover="3"><result status="valid" time="0.18" steps="30460"/></proof>
  </goal>
 </transf>
 </goal>
</theory>
<theory name="Conversions" proved="true">
 <goal name="lowconcat" proved="true">
 <proof prover="7"><result status="valid" time="0.08" steps="21856"/></proof>
 </goal>
 <goal name="upconcat" proved="true">
 <proof prover="7"><result status="valid" time="0.09" steps="21874"/></proof>
 </goal>
 <goal name="digitsublow" proved="true">
 <proof prover="7"><result status="valid" time="0.10" steps="21895"/></proof>
 </goal>
 <goal name="digitsubup" proved="true">
 <proof prover="7"><result status="valid" time="0.10" steps="21916"/></proof>
 </goal>
 <goal name="lowsub" proved="true">
 <proof prover="7"><result status="valid" time="0.10" steps="21937"/></proof>
 </goal>
 <goal name="upsub" proved="true">
 <proof prover="7"><result status="valid" time="0.10" steps="21958"/></proof>
 </goal>
 <goal name="lowupconcat" proved="true">
 <proof prover="7"><result status="valid" time="0.10" steps="21976"/></proof>
 </goal>
 <goal name="digitsublowup" proved="true">
 <proof prover="2"><result status="valid" time="0.11" steps="337"/></proof>
 </goal>
 <goal name="upsublowup" proved="true">
 <proof prover="7"><result status="valid" time="0.10" steps="22018"/></proof>
 </goal>
 <goal name="lowsublowup" proved="true">
 <proof prover="7"><result status="valid" time="0.08" steps="22039"/></proof>
 </goal>
 <goal name="digits&#39;vc" expl="VC for digits" proved="true">
 <transf name="split_vc" proved="true" >
  <goal name="digits&#39;vc.0" expl="assertion" proved="true">
  <proof prover="7"><result status="valid" time="0.08" steps="23260"/></proof>
  </goal>
  <goal name="digits&#39;vc.1" expl="assertion" proved="true">
  <transf name="rewrite" proved="true" arg1="Assert">
   <goal name="digits&#39;vc.1.0" expl="assertion" proved="true">
   <transf name="rewrite" proved="true" arg1="substring_get">
    <goal name="digits&#39;vc.1.0.0" expl="assertion" proved="true">
    <proof prover="2"><result status="valid" time="0.04" steps="55"/></proof>
    <proof prover="5"><result status="valid" time="0.12" steps="22666"/></proof>
    </goal>
    <goal name="digits&#39;vc.1.0.1" expl="rewrite premises" proved="true">
    <proof prover="5"><result status="valid" time="0.23" steps="49378"/></proof>
    </goal>
    <goal name="digits&#39;vc.1.0.2" expl="rewrite premises" proved="true">
    <proof prover="2"><result status="valid" time="0.03" steps="55"/></proof>
    <proof prover="5"><result status="valid" time="0.11" steps="22645"/></proof>
    </goal>
    <goal name="digits&#39;vc.1.0.3" expl="rewrite premises" proved="true">
    <proof prover="5"><result status="valid" time="0.22" steps="49341"/></proof>
    </goal>
    <goal name="digits&#39;vc.1.0.4" expl="rewrite premises" proved="true">
    <proof prover="5"><result status="valid" time="0.12" steps="22661"/></proof>
    </goal>
   </transf>
   </goal>
  </transf>
  </goal>
  <goal name="digits&#39;vc.2" expl="postcondition" proved="true">
  <proof prover="2" timelimit="5" memlimit="2000"><result status="valid" time="0.02" steps="59"/></proof>
  </goal>
 </transf>
 </goal>
 <goal name="lower&#39;vc" expl="VC for lower" proved="true">
 <transf name="split_vc" proved="true" >
  <goal name="lower&#39;vc.0" expl="assertion" proved="true">
  <proof prover="7"><result status="valid" time="0.10" steps="23288"/></proof>
  </goal>
  <goal name="lower&#39;vc.1" expl="assertion" proved="true">
  <transf name="rewrite" proved="true" arg1="Assert">
   <goal name="lower&#39;vc.1.0" expl="assertion" proved="true">
   <transf name="rewrite" proved="true" arg1="substring_get">
    <goal name="lower&#39;vc.1.0.0" expl="assertion" proved="true">
    <proof prover="5"><result status="valid" time="0.10" steps="22685"/></proof>
    </goal>
    <goal name="lower&#39;vc.1.0.1" expl="rewrite premises" proved="true">
    <proof prover="7"><result status="valid" time="0.10" steps="23317"/></proof>
    </goal>
    <goal name="lower&#39;vc.1.0.2" expl="rewrite premises" proved="true">
    <proof prover="5"><result status="valid" time="0.08" steps="22664"/></proof>
    </goal>
    <goal name="lower&#39;vc.1.0.3" expl="rewrite premises" proved="true">
    <proof prover="7"><result status="valid" time="0.09" steps="23310"/></proof>
    </goal>
    <goal name="lower&#39;vc.1.0.4" expl="rewrite premises" proved="true">
    <proof prover="2"><result status="valid" time="0.02" steps="57"/></proof>
    <proof prover="5"><result status="valid" time="0.10" steps="22680"/></proof>
    </goal>
   </transf>
   </goal>
  </transf>
  </goal>
  <goal name="lower&#39;vc.2" expl="postcondition" proved="true">
  <proof prover="2" timelimit="5" memlimit="2000"><result status="valid" time="0.02" steps="61"/></proof>
  </goal>
 </transf>
 </goal>
 <goal name="upper&#39;vc" expl="VC for upper" proved="true">
 <transf name="split_vc" proved="true" >
  <goal name="upper&#39;vc.0" expl="assertion" proved="true">
  <transf name="split_vc" proved="true" >
   <goal name="upper&#39;vc.0.0" expl="assertion" proved="true">
   <proof prover="7"><result status="valid" time="0.08" steps="23315"/></proof>
   </goal>
  </transf>
  </goal>
  <goal name="upper&#39;vc.1" expl="assertion" proved="true">
  <transf name="split_vc" proved="true" >
   <goal name="upper&#39;vc.1.0" expl="assertion" proved="true">
   <transf name="rewrite" proved="true" arg1="Assert">
    <goal name="upper&#39;vc.1.0.0" expl="assertion" proved="true">
    <transf name="rewrite" proved="true" arg1="substring_get">
     <goal name="upper&#39;vc.1.0.0.0" expl="assertion" proved="true">
     <proof prover="2"><result status="valid" time="0.03" steps="59"/></proof>
     <proof prover="5"><result status="valid" time="0.09" steps="22673"/></proof>
     </goal>
     <goal name="upper&#39;vc.1.0.0.1" expl="rewrite premises" proved="true">
     <proof prover="7"><result status="valid" time="0.08" steps="23344"/></proof>
     </goal>
     <goal name="upper&#39;vc.1.0.0.2" expl="rewrite premises" proved="true">
     <proof prover="2"><result status="valid" time="0.02" steps="59"/></proof>
     <proof prover="5"><result status="valid" time="0.10" steps="22682"/></proof>
     </goal>
     <goal name="upper&#39;vc.1.0.0.3" expl="rewrite premises" proved="true">
     <proof prover="7"><result status="valid" time="0.10" steps="23337"/></proof>
     </goal>
     <goal name="upper&#39;vc.1.0.0.4" expl="rewrite premises" proved="true">
     <proof prover="5"><result status="valid" time="0.08" steps="22698"/></proof>
     </goal>
    </transf>
    </goal>
   </transf>
   </goal>
   <goal name="upper&#39;vc.1.1" expl="assertion" proved="true">
   <proof prover="2"><result status="valid" time="0.02" steps="59"/></proof>
   </goal>
  </transf>
  </goal>
  <goal name="upper&#39;vc.2" expl="postcondition" proved="true">
  <proof prover="2"><result status="valid" time="0.03" steps="64"/></proof>
  </goal>
 </transf>
 </goal>
 <goal name="diglow" proved="true">
 <proof prover="5"><result status="valid" time="0.09" steps="23082"/></proof>
 </goal>
 <goal name="digup" proved="true">
 <proof prover="5"><result status="valid" time="0.09" steps="23115"/></proof>
 </goal>
 <goal name="lowup" proved="true">
 <proof prover="5"><result status="valid" time="0.09" steps="23152"/></proof>
 </goal>
 <goal name="tnt_low&#39;vc" expl="VC for tnt_low" proved="true">
 <transf name="split_vc" proved="true" >
  <goal name="tnt_low&#39;vc.0" expl="assertion" proved="true">
  <transf name="split_vc" proved="true" >
   <goal name="tnt_low&#39;vc.0.0" expl="assertion" proved="true">
   <proof prover="2" timelimit="5" memlimit="2000"><result status="valid" time="0.15" steps="552"/></proof>
   </goal>
   <goal name="tnt_low&#39;vc.0.1" expl="assertion" proved="true">
   <proof prover="5" timelimit="1" memlimit="1000"><result status="valid" time="0.06" steps="22830"/></proof>
   </goal>
  </transf>
  </goal>
  <goal name="tnt_low&#39;vc.1" expl="assertion" proved="true">
  <transf name="split_vc" proved="true" >
   <goal name="tnt_low&#39;vc.1.0" expl="assertion" proved="true">
   <proof prover="5"><result status="valid" time="0.14" steps="25697"/></proof>
   </goal>
   <goal name="tnt_low&#39;vc.1.1" expl="assertion" proved="true">
   <transf name="rewrite" proved="true" arg1="substring_get">
    <goal name="tnt_low&#39;vc.1.1.0" expl="assertion" proved="true">
    <proof prover="2"><result status="valid" time="0.02" steps="74"/></proof>
    </goal>
    <goal name="tnt_low&#39;vc.1.1.1" expl="rewrite premises" proved="true">
    <proof prover="7"><result status="valid" time="0.11" steps="23568"/></proof>
    </goal>
    <goal name="tnt_low&#39;vc.1.1.2" expl="rewrite premises" proved="true">
    <proof prover="2"><result status="valid" time="0.03" steps="74"/></proof>
    </goal>
    <goal name="tnt_low&#39;vc.1.1.3" expl="rewrite premises" proved="true">
    <proof prover="7"><result status="valid" time="0.11" steps="23561"/></proof>
    </goal>
    <goal name="tnt_low&#39;vc.1.1.4" expl="rewrite premises" proved="true">
    <proof prover="2"><result status="valid" time="0.03" steps="74"/></proof>
    </goal>
   </transf>
   </goal>
   <goal name="tnt_low&#39;vc.1.2" expl="VC for tnt_low" proved="true">
   <proof prover="2"><result status="valid" time="0.03" steps="79"/></proof>
   </goal>
  </transf>
  </goal>
  <goal name="tnt_low&#39;vc.2" expl="assertion" proved="true">
  <proof prover="2" timelimit="5" memlimit="2000"><result status="valid" time="0.08" steps="275"/></proof>
  </goal>
  <goal name="tnt_low&#39;vc.3" expl="postcondition" proved="true">
  <proof prover="2" timelimit="5" memlimit="2000"><result status="valid" time="0.10" steps="274"/></proof>
  </goal>
 </transf>
 </goal>
 <goal name="tnt_up&#39;vc" expl="VC for tnt_up" proved="true">
 <transf name="split_vc" proved="true" >
  <goal name="tnt_up&#39;vc.0" expl="assertion" proved="true">
  <proof prover="2" timelimit="5" memlimit="2000"><result status="valid" time="0.16" steps="572"/></proof>
  </goal>
  <goal name="tnt_up&#39;vc.1" expl="assertion" proved="true">
  <transf name="split_vc" proved="true" >
   <goal name="tnt_up&#39;vc.1.0" expl="assertion" proved="true">
   <proof prover="2" timelimit="5" memlimit="2000"><result status="valid" time="0.04" steps="74"/></proof>
   </goal>
   <goal name="tnt_up&#39;vc.1.1" expl="assertion" proved="true">
   <transf name="rewrite" proved="true" arg1="substring_get">
    <goal name="tnt_up&#39;vc.1.1.0" expl="assertion" proved="true">
    <proof prover="5"><result status="valid" time="0.11" steps="22987"/></proof>
    </goal>
    <goal name="tnt_up&#39;vc.1.1.1" expl="rewrite premises" proved="true">
    <proof prover="5"><result status="valid" time="0.59" steps="97634"/></proof>
    </goal>
    <goal name="tnt_up&#39;vc.1.1.2" expl="rewrite premises" proved="true">
    <proof prover="5"><result status="valid" time="0.09" steps="22959"/></proof>
    </goal>
    <goal name="tnt_up&#39;vc.1.1.3" expl="rewrite premises" proved="true">
    <proof prover="7"><result status="valid" time="0.11" steps="23651"/></proof>
    </goal>
    <goal name="tnt_up&#39;vc.1.1.4" expl="rewrite premises" proved="true">
    <proof prover="1" timelimit="1"><result status="valid" time="0.02" steps="23181"/></proof>
    <proof prover="2"><result status="valid" time="0.03" steps="74"/></proof>
    <proof prover="5" timelimit="1" memlimit="1000"><result status="valid" time="0.11" steps="22982"/></proof>
    </goal>
   </transf>
   </goal>
   <goal name="tnt_up&#39;vc.1.2" expl="VC for tnt_up" proved="true">
   <proof prover="2"><result status="valid" time="0.02" steps="79"/></proof>
   </goal>
  </transf>
  </goal>
  <goal name="tnt_up&#39;vc.2" expl="assertion" proved="true">
  <transf name="split_vc" proved="true" >
   <goal name="tnt_up&#39;vc.2.0" expl="assertion" proved="true">
   <proof prover="2"><result status="valid" time="0.01" steps="76"/></proof>
   </goal>
   <goal name="tnt_up&#39;vc.2.1" expl="assertion" proved="true">
   <proof prover="2"><result status="valid" time="0.03" steps="78"/></proof>
   </goal>
   <goal name="tnt_up&#39;vc.2.2" expl="assertion" proved="true">
   <proof prover="2"><result status="valid" time="0.02" steps="76"/></proof>
   </goal>
   <goal name="tnt_up&#39;vc.2.3" expl="VC for tnt_up" proved="true">
   <proof prover="2"><result status="valid" time="0.02" steps="80"/></proof>
   </goal>
   <goal name="tnt_up&#39;vc.2.4" expl="VC for tnt_up" proved="true">
   <proof prover="2"><result status="valid" time="0.01" steps="81"/></proof>
   </goal>
   <goal name="tnt_up&#39;vc.2.5" expl="VC for tnt_up" proved="true">
   <proof prover="2"><result status="valid" time="0.04" steps="84"/></proof>
   </goal>
   <goal name="tnt_up&#39;vc.2.6" expl="VC for tnt_up" proved="true">
   <proof prover="2" timelimit="5" memlimit="2000"><result status="valid" time="0.07" steps="82"/></proof>
   </goal>
   <goal name="tnt_up&#39;vc.2.7" expl="VC for tnt_up" proved="true">
   <proof prover="2"><result status="valid" time="0.02" steps="85"/></proof>
   </goal>
  </transf>
  </goal>
  <goal name="tnt_up&#39;vc.3" expl="postcondition" proved="true">
  <transf name="split_vc" proved="true" >
   <goal name="tnt_up&#39;vc.3.0" expl="postcondition" proved="true">
   <proof prover="2"><result status="valid" time="0.02" steps="272"/></proof>
   </goal>
   <goal name="tnt_up&#39;vc.3.1" expl="postcondition" proved="true">
   <proof prover="2"><result status="valid" time="0.04" steps="78"/></proof>
   </goal>
  </transf>
  </goal>
 </transf>
 </goal>
 <goal name="tnt_both&#39;vc" expl="VC for tnt_both" proved="true">
 <transf name="split_vc" proved="true" >
  <goal name="tnt_both&#39;vc.0" expl="assertion" proved="true">
  <proof prover="2"><result status="valid" time="0.16" steps="555"/></proof>
  </goal>
  <goal name="tnt_both&#39;vc.1" expl="assertion" proved="true">
  <transf name="split_vc" proved="true" >
   <goal name="tnt_both&#39;vc.1.0" expl="assertion" proved="true">
   <proof prover="2"><result status="valid" time="0.02" steps="81"/></proof>
   </goal>
   <goal name="tnt_both&#39;vc.1.1" expl="assertion" proved="true">
   <transf name="rewrite" proved="true" arg1="substring_get">
    <goal name="tnt_both&#39;vc.1.1.0" expl="assertion" proved="true">
    <proof prover="2"><result status="valid" time="0.02" steps="81"/></proof>
    </goal>
    <goal name="tnt_both&#39;vc.1.1.1" expl="rewrite premises" proved="true">
    <proof prover="7"><result status="valid" time="0.10" steps="23830"/></proof>
    </goal>
    <goal name="tnt_both&#39;vc.1.1.2" expl="rewrite premises" proved="true">
    <proof prover="2"><result status="valid" time="0.03" steps="81"/></proof>
    </goal>
    <goal name="tnt_both&#39;vc.1.1.3" expl="rewrite premises" proved="true">
    <proof prover="7"><result status="valid" time="0.10" steps="23823"/></proof>
    </goal>
    <goal name="tnt_both&#39;vc.1.1.4" expl="rewrite premises" proved="true">
    <proof prover="2"><result status="valid" time="0.02" steps="81"/></proof>
    </goal>
   </transf>
   </goal>
   <goal name="tnt_both&#39;vc.1.2" expl="VC for tnt_both" proved="true">
   <proof prover="2"><result status="valid" time="0.03" steps="86"/></proof>
   </goal>
  </transf>
  </goal>
  <goal name="tnt_both&#39;vc.2" expl="assertion" proved="true">
  <transf name="split_vc" proved="true" >
   <goal name="tnt_both&#39;vc.2.0" expl="assertion" proved="true">
   <proof prover="2"><result status="valid" time="0.02" steps="83"/></proof>
   </goal>
   <goal name="tnt_both&#39;vc.2.1" expl="assertion" proved="true">
   <proof prover="2"><result status="valid" time="0.04" steps="85"/></proof>
   </goal>
   <goal name="tnt_both&#39;vc.2.2" expl="assertion" proved="true">
   <proof prover="2"><result status="valid" time="0.03" steps="83"/></proof>
   </goal>
   <goal name="tnt_both&#39;vc.2.3" expl="VC for tnt_both" proved="true">
   <proof prover="2"><result status="valid" time="0.03" steps="87"/></proof>
   </goal>
   <goal name="tnt_both&#39;vc.2.4" expl="VC for tnt_both" proved="true">
   <proof prover="2"><result status="valid" time="0.02" steps="88"/></proof>
   </goal>
   <goal name="tnt_both&#39;vc.2.5" expl="VC for tnt_both" proved="true">
   <proof prover="2"><result status="valid" time="0.02" steps="91"/></proof>
   </goal>
   <goal name="tnt_both&#39;vc.2.6" expl="VC for tnt_both" proved="true">
   <proof prover="2"><result status="valid" time="0.02" steps="89"/></proof>
   </goal>
   <goal name="tnt_both&#39;vc.2.7" expl="VC for tnt_both" proved="true">
   <proof prover="2"><result status="valid" time="0.01" steps="92"/></proof>
   </goal>
  </transf>
  </goal>
  <goal name="tnt_both&#39;vc.3" expl="assertion" proved="true">
  <transf name="split_vc" proved="true" >
   <goal name="tnt_both&#39;vc.3.0" expl="assertion" proved="true">
   <proof prover="2"><result status="valid" time="0.02" steps="83"/></proof>
   </goal>
   <goal name="tnt_both&#39;vc.3.1" expl="assertion" proved="true">
   <transf name="rewrite" proved="true" arg1="substring_get">
    <goal name="tnt_both&#39;vc.3.1.0" expl="assertion" proved="true">
    <proof prover="2"><result status="valid" time="0.03" steps="83"/></proof>
    </goal>
    <goal name="tnt_both&#39;vc.3.1.1" expl="rewrite premises" proved="true">
    <proof prover="7"><result status="valid" time="0.10" steps="23856"/></proof>
    </goal>
    <goal name="tnt_both&#39;vc.3.1.2" expl="rewrite premises" proved="true">
    <proof prover="2"><result status="valid" time="0.03" steps="83"/></proof>
    </goal>
    <goal name="tnt_both&#39;vc.3.1.3" expl="rewrite premises" proved="true">
    <proof prover="7"><result status="valid" time="0.09" steps="23849"/></proof>
    </goal>
    <goal name="tnt_both&#39;vc.3.1.4" expl="rewrite premises" proved="true">
    <proof prover="2"><result status="valid" time="0.03" steps="83"/></proof>
    </goal>
   </transf>
   </goal>
   <goal name="tnt_both&#39;vc.3.2" expl="VC for tnt_both" proved="true">
   <proof prover="2"><result status="valid" time="0.04" steps="88"/></proof>
   </goal>
  </transf>
  </goal>
  <goal name="tnt_both&#39;vc.4" expl="assertion" proved="true">
  <proof prover="2"><result status="valid" time="0.09" steps="284"/></proof>
  </goal>
  <goal name="tnt_both&#39;vc.5" expl="postcondition" proved="true">
  <transf name="split_vc" proved="true" >
   <goal name="tnt_both&#39;vc.5.0" expl="postcondition" proved="true">
   <proof prover="2"><result status="valid" time="0.04" steps="272"/></proof>
   </goal>
   <goal name="tnt_both&#39;vc.5.1" expl="postcondition" proved="true">
   <proof prover="2"><result status="valid" time="0.02" steps="77"/></proof>
   </goal>
  </transf>
  </goal>
 </transf>
 </goal>
 <goal name="tnt&#39;vc" expl="VC for tnt" proved="true">
 <transf name="split_vc" proved="true" >
  <goal name="tnt&#39;vc.0" expl="precondition" proved="true">
  <proof prover="2"><result status="valid" time="0.03" steps="76"/></proof>
  </goal>
  <goal name="tnt&#39;vc.1" expl="precondition" proved="true">
  <transf name="split_vc" proved="true" >
   <goal name="tnt&#39;vc.1.0" expl="precondition" proved="true">
   <proof prover="2"><result status="valid" time="0.02" steps="72"/></proof>
   </goal>
   <goal name="tnt&#39;vc.1.1" expl="precondition" proved="true">
   <proof prover="2"><result status="valid" time="0.03" steps="250"/></proof>
   </goal>
  </transf>
  </goal>
  <goal name="tnt&#39;vc.2" expl="precondition" proved="true">
  <proof prover="2"><result status="valid" time="0.04" steps="76"/></proof>
  </goal>
  <goal name="tnt&#39;vc.3" expl="postcondition" proved="true">
  <proof prover="2"><result status="valid" time="0.05" steps="422"/></proof>
  </goal>
 </transf>
 </goal>
</theory>
<theory name="String_value" proved="true">
 <goal name="abs_value_sub_text&#39;vc" expl="VC for abs_value_sub_text" proved="true">
 <proof prover="5"><result status="valid" time="0.19" steps="30073"/></proof>
 </goal>
 <goal name="text_conversion&#39;vc" expl="VC for text_conversion" proved="true">
 <transf name="split_vc" proved="true" >
  <goal name="text_conversion&#39;vc.0" expl="variant decrease" proved="true">
  <proof prover="2" timelimit="5" memlimit="2000"><result status="valid" time="0.07" steps="66"/></proof>
  </goal>
  <goal name="text_conversion&#39;vc.1" expl="precondition" proved="true">
  <proof prover="2" timelimit="5" memlimit="2000"><result status="valid" time="0.12" steps="263"/></proof>
  </goal>
  <goal name="text_conversion&#39;vc.2" expl="postcondition" proved="true">
  <proof prover="4"><result status="valid" time="0.11"/></proof>
  </goal>
 </transf>
 </goal>
 <goal name="abs_value_sub_text_frame&#39;vc" expl="VC for abs_value_sub_text_frame" proved="true">
 <transf name="split_vc" proved="true" >
  <goal name="abs_value_sub_text_frame&#39;vc.0" expl="variant decrease" proved="true">
  <proof prover="2" timelimit="5" memlimit="2000"><result status="valid" time="0.02" steps="64"/></proof>
  </goal>
  <goal name="abs_value_sub_text_frame&#39;vc.1" expl="precondition" proved="true">
  <proof prover="2" timelimit="5" memlimit="2000"><result status="valid" time="0.04" steps="70"/></proof>
  </goal>
  <goal name="abs_value_sub_text_frame&#39;vc.2" expl="postcondition" proved="true">
  <proof prover="2" timelimit="5" memlimit="2000"><result status="valid" time="0.24" steps="333"/></proof>
  </goal>
 </transf>
 </goal>
</theory>
</file>
</why3session>
