File: why3session.xml

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<?xml version="1.0" encoding="UTF-8"?>
<!DOCTYPE why3session PUBLIC "-//Why3//proof session v5//EN"
"https://www.why3.org/why3session.dtd">
<why3session shape_version="6">
<prover id="1" name="Alt-Ergo" version="2.5.4" alternative="FPA" timelimit="5" steplimit="0" memlimit="2000"/>
<file format="whyml" proved="true">
<path name=".."/><path name="add_sqrt.mlw"/>
<theory name="AdditionSqrtSingle" proved="true">
 <goal name="add_sqrt&#39;vc" expl="VC for add_sqrt" proved="true">
 <transf name="split_vc" proved="true" >
  <goal name="add_sqrt&#39;vc.0" expl="postcondition" proved="true">
  <transf name="assert" proved="true" arg1="let t = to_real a +. to_real (usqrt b) in
abs (to_real result -. t) &lt;=. (eps *. abs t)">
   <goal name="add_sqrt&#39;vc.0.0" expl="asserted formula" proved="true">
   <proof prover="1"><result status="valid" time="0.192795" steps="859"/></proof>
   </goal>
   <goal name="add_sqrt&#39;vc.0.1" expl="postcondition" proved="true">
   <transf name="assert" proved="true" arg1="abs (to_real result -. (to_real a +. to_real (usqrt b)))
&lt;=. (eps *. abs (to_real a +. to_real (usqrt b)))">
    <goal name="add_sqrt&#39;vc.0.1.0" expl="asserted formula" proved="true">
    <proof prover="1"><result status="valid" time="0.048223" steps="133"/></proof>
    </goal>
    <goal name="add_sqrt&#39;vc.0.1.1" expl="postcondition" proved="true">
    <proof prover="1"><result status="valid" time="0.086509" steps="124"/></proof>
    </goal>
   </transf>
   </goal>
  </transf>
  </goal>
 </transf>
 </goal>
</theory>
<theory name="AdditionSqrtDouble" proved="true">
 <goal name="add_sqrt&#39;vc" expl="VC for add_sqrt" proved="true">
 <transf name="split_vc" proved="true" >
  <goal name="add_sqrt&#39;vc.0" expl="postcondition" proved="true">
  <transf name="assert" proved="true" arg1="let t = to_real a +. to_real (usqrt b) in
abs (to_real result -. t) &lt;=. (eps *. abs t)">
   <goal name="add_sqrt&#39;vc.0.0" expl="asserted formula" proved="true">
   <proof prover="1"><result status="valid" time="0.042929" steps="859"/></proof>
   </goal>
   <goal name="add_sqrt&#39;vc.0.1" expl="postcondition" proved="true">
   <transf name="assert" proved="true" arg1="abs (to_real result -. (to_real a +. to_real (usqrt b)))
&lt;=. (eps *. abs (to_real a +. to_real (usqrt b)))">
    <goal name="add_sqrt&#39;vc.0.1.0" expl="asserted formula" proved="true">
    <proof prover="1"><result status="valid" time="0.091382" steps="133"/></proof>
    </goal>
    <goal name="add_sqrt&#39;vc.0.1.1" expl="postcondition" proved="true">
    <proof prover="1"><result status="valid" time="0.046502" steps="124"/></proof>
    </goal>
   </transf>
   </goal>
  </transf>
  </goal>
 </transf>
 </goal>
</theory>
</file>
</why3session>