<?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="2.3.3" timelimit="5" steplimit="0" memlimit="1000"/>
<prover id="1" name="CVC4" version="1.7" timelimit="1" steplimit="0" memlimit="1000"/>
<prover id="2" name="Alt-Ergo" version="2.4.1" timelimit="5" steplimit="0" memlimit="1000"/>
<file format="whyml" proved="true">
<path name=".."/><path name="wrap_lines.mlw"/>
<theory name="WrapLines" proved="true">
 <goal name="index_of&#39;vc" expl="VC for index_of" proved="true">
 <transf name="split_vc" proved="true" >
  <goal name="index_of&#39;vc.0" expl="loop invariant init" proved="true">
  <proof prover="0"><result status="valid" time="0.000000" steps="4"/></proof>
  </goal>
  <goal name="index_of&#39;vc.1" expl="loop invariant init" proved="true">
  <proof prover="0"><result status="valid" time="0.000000" steps="7"/></proof>
  </goal>
  <goal name="index_of&#39;vc.2" expl="index in array bounds" proved="true">
  <proof prover="0"><result status="valid" time="0.000000" steps="10"/></proof>
  </goal>
  <goal name="index_of&#39;vc.3" expl="postcondition" proved="true">
  <proof prover="0"><result status="valid" time="0.000000" steps="21"/></proof>
  </goal>
  <goal name="index_of&#39;vc.4" expl="loop variant decrease" proved="true">
  <proof prover="0"><result status="valid" time="0.000000" steps="14"/></proof>
  </goal>
  <goal name="index_of&#39;vc.5" expl="loop invariant preservation" proved="true">
  <proof prover="0"><result status="valid" time="0.000000" steps="14"/></proof>
  </goal>
  <goal name="index_of&#39;vc.6" expl="loop invariant preservation" proved="true">
  <proof prover="0"><result status="valid" time="0.000000" steps="22"/></proof>
  </goal>
  <goal name="index_of&#39;vc.7" expl="postcondition" proved="true">
  <proof prover="0"><result status="valid" time="0.000000" steps="17"/></proof>
  </goal>
 </transf>
 </goal>
 <goal name="wrap_lines&#39;vc" expl="VC for wrap_lines" proved="true">
 <transf name="split_vc" proved="true" >
  <goal name="wrap_lines&#39;vc.0" expl="precondition" proved="true">
  <proof prover="0"><result status="valid" time="0.000000" steps="2"/></proof>
  </goal>
  <goal name="wrap_lines&#39;vc.1" expl="loop invariant init" proved="true">
  <proof prover="0"><result status="valid" time="0.000000" steps="4"/></proof>
  </goal>
  <goal name="wrap_lines&#39;vc.2" expl="loop invariant init" proved="true">
  <proof prover="0"><result status="valid" time="0.000000" steps="3"/></proof>
  </goal>
  <goal name="wrap_lines&#39;vc.3" expl="loop invariant init" proved="true">
  <proof prover="0"><result status="valid" time="0.000000" steps="7"/></proof>
  </goal>
  <goal name="wrap_lines&#39;vc.4" expl="loop invariant init" proved="true">
  <proof prover="0"><result status="valid" time="0.000000" steps="7"/></proof>
  </goal>
  <goal name="wrap_lines&#39;vc.5" expl="loop invariant init" proved="true">
  <proof prover="0"><result status="valid" time="0.000000" steps="18"/></proof>
  </goal>
  <goal name="wrap_lines&#39;vc.6" expl="loop invariant init" proved="true">
  <proof prover="0"><result status="valid" time="0.000000" steps="22"/></proof>
  </goal>
  <goal name="wrap_lines&#39;vc.7" expl="index in array bounds" proved="true">
  <proof prover="0"><result status="valid" time="0.000000" steps="18"/></proof>
  </goal>
  <goal name="wrap_lines&#39;vc.8" expl="precondition" proved="true">
  <proof prover="0"><result status="valid" time="0.000000" steps="26"/></proof>
  </goal>
  <goal name="wrap_lines&#39;vc.9" expl="loop variant decrease" proved="true">
  <proof prover="0"><result status="valid" time="0.010000" steps="28"/></proof>
  </goal>
  <goal name="wrap_lines&#39;vc.10" expl="loop invariant preservation" proved="true">
  <proof prover="0"><result status="valid" time="0.010000" steps="26"/></proof>
  </goal>
  <goal name="wrap_lines&#39;vc.11" expl="loop invariant preservation" proved="true">
  <proof prover="0"><result status="valid" time="0.000000" steps="28"/></proof>
  </goal>
  <goal name="wrap_lines&#39;vc.12" expl="loop invariant preservation" proved="true">
  <proof prover="0"><result status="valid" time="0.020000" steps="106"/></proof>
  </goal>
  <goal name="wrap_lines&#39;vc.13" expl="loop invariant preservation" proved="true">
  <proof prover="0"><result status="valid" time="0.030000" steps="184"/></proof>
  </goal>
  <goal name="wrap_lines&#39;vc.14" expl="loop invariant preservation" proved="true">
  <proof prover="0"><result status="valid" time="0.020000" steps="79"/></proof>
  </goal>
  <goal name="wrap_lines&#39;vc.15" expl="loop invariant preservation" proved="true">
  <proof prover="0"><result status="valid" time="0.080000" steps="381"/></proof>
  </goal>
  <goal name="wrap_lines&#39;vc.16" expl="precondition" proved="true">
  <proof prover="0"><result status="valid" time="0.000000" steps="18"/></proof>
  </goal>
  <goal name="wrap_lines&#39;vc.17" expl="loop variant decrease" proved="true">
  <proof prover="0"><result status="valid" time="0.000000" steps="20"/></proof>
  </goal>
  <goal name="wrap_lines&#39;vc.18" expl="loop invariant preservation" proved="true">
  <proof prover="0"><result status="valid" time="0.000000" steps="18"/></proof>
  </goal>
  <goal name="wrap_lines&#39;vc.19" expl="loop invariant preservation" proved="true">
  <proof prover="0"><result status="valid" time="0.000000" steps="18"/></proof>
  </goal>
  <goal name="wrap_lines&#39;vc.20" expl="loop invariant preservation" proved="true">
  <proof prover="0"><result status="valid" time="0.000000" steps="28"/></proof>
  </goal>
  <goal name="wrap_lines&#39;vc.21" expl="loop invariant preservation" proved="true">
  <proof prover="0"><result status="valid" time="0.010000" steps="29"/></proof>
  </goal>
  <goal name="wrap_lines&#39;vc.22" expl="loop invariant preservation" proved="true">
  <proof prover="0"><result status="valid" time="0.020000" steps="67"/></proof>
  </goal>
  <goal name="wrap_lines&#39;vc.23" expl="loop invariant preservation" proved="true">
  <proof prover="0"><result status="valid" time="0.000000" steps="18"/></proof>
  </goal>
  <goal name="wrap_lines&#39;vc.24" expl="postcondition" proved="true">
  <proof prover="0"><result status="valid" time="0.000000" steps="19"/></proof>
  </goal>
  <goal name="wrap_lines&#39;vc.25" expl="postcondition" proved="true">
  <proof prover="0"><result status="valid" time="0.000000" steps="10"/></proof>
  </goal>
 </transf>
 </goal>
 <goal name="wrap_lines_plus&#39;vc" expl="VC for wrap_lines_plus" proved="true">
 <transf name="split_vc" proved="true" >
  <goal name="wrap_lines_plus&#39;vc.0" expl="loop invariant init" proved="true">
  <proof prover="0"><result status="valid" time="0.000000" steps="4"/></proof>
  </goal>
  <goal name="wrap_lines_plus&#39;vc.1" expl="loop invariant init" proved="true">
  <proof prover="0"><result status="valid" time="0.000000" steps="5"/></proof>
  </goal>
  <goal name="wrap_lines_plus&#39;vc.2" expl="loop invariant init" proved="true">
  <proof prover="0"><result status="valid" time="0.000000" steps="6"/></proof>
  </goal>
  <goal name="wrap_lines_plus&#39;vc.3" expl="loop invariant init" proved="true">
  <proof prover="0"><result status="valid" time="0.000000" steps="9"/></proof>
  </goal>
  <goal name="wrap_lines_plus&#39;vc.4" expl="loop invariant init" proved="true">
  <proof prover="0"><result status="valid" time="0.000000" steps="9"/></proof>
  </goal>
  <goal name="wrap_lines_plus&#39;vc.5" expl="loop invariant init" proved="true">
  <proof prover="0"><result status="valid" time="0.000000" steps="9"/></proof>
  </goal>
  <goal name="wrap_lines_plus&#39;vc.6" expl="loop invariant init" proved="true">
  <proof prover="0"><result status="valid" time="0.000000" steps="11"/></proof>
  </goal>
  <goal name="wrap_lines_plus&#39;vc.7" expl="loop invariant init" proved="true">
  <proof prover="0"><result status="valid" time="0.000000" steps="9"/></proof>
  </goal>
  <goal name="wrap_lines_plus&#39;vc.8" expl="loop invariant init" proved="true">
  <proof prover="0"><result status="valid" time="0.010000" steps="21"/></proof>
  </goal>
  <goal name="wrap_lines_plus&#39;vc.9" expl="index in array bounds" proved="true">
  <proof prover="0"><result status="valid" time="0.000000" steps="16"/></proof>
  </goal>
  <goal name="wrap_lines_plus&#39;vc.10" expl="index in array bounds" proved="true">
  <proof prover="0"><result status="valid" time="0.010000" steps="28"/></proof>
  </goal>
  <goal name="wrap_lines_plus&#39;vc.11" expl="loop invariant preservation" proved="true">
  <proof prover="0"><result status="valid" time="0.010000" steps="38"/></proof>
  </goal>
  <goal name="wrap_lines_plus&#39;vc.12" expl="loop invariant preservation" proved="true">
  <proof prover="0"><result status="valid" time="0.010000" steps="69"/></proof>
  </goal>
  <goal name="wrap_lines_plus&#39;vc.13" expl="loop invariant preservation" proved="true">
  <proof prover="0"><result status="valid" time="0.000000" steps="43"/></proof>
  </goal>
  <goal name="wrap_lines_plus&#39;vc.14" expl="loop invariant preservation" proved="true">
  <proof prover="0"><result status="valid" time="0.000000" steps="46"/></proof>
  </goal>
  <goal name="wrap_lines_plus&#39;vc.15" expl="loop invariant preservation" proved="true">
  <proof prover="0"><result status="valid" time="0.010000" steps="46"/></proof>
  </goal>
  <goal name="wrap_lines_plus&#39;vc.16" expl="loop invariant preservation" proved="true">
  <proof prover="0"><result status="valid" time="0.040000" steps="190"/></proof>
  </goal>
  <goal name="wrap_lines_plus&#39;vc.17" expl="loop invariant preservation" proved="true">
  <proof prover="0"><result status="valid" time="0.020000" steps="101"/></proof>
  </goal>
  <goal name="wrap_lines_plus&#39;vc.18" expl="loop invariant preservation" proved="true">
  <proof prover="0"><result status="valid" time="0.130000" steps="424"/></proof>
  </goal>
  <goal name="wrap_lines_plus&#39;vc.19" expl="loop invariant preservation" proved="true">
  <transf name="remove" proved="true" arg1="LoopInvariant15,LoopInvariant14,LoopInvariant9,LoopInvariant7,LoopInvariant6,LoopInvariant5,LoopInvariant4,LoopInvariant3,LoopInvariant2,LoopInvariant">
   <goal name="wrap_lines_plus&#39;vc.19.0" expl="loop invariant preservation" proved="true">
   <proof prover="0"><result status="valid" time="0.560000" steps="1007"/></proof>
   </goal>
  </transf>
  </goal>
  <goal name="wrap_lines_plus&#39;vc.20" expl="loop invariant preservation" proved="true">
  <proof prover="0"><result status="valid" time="0.000000" steps="24"/></proof>
  </goal>
  <goal name="wrap_lines_plus&#39;vc.21" expl="loop invariant preservation" proved="true">
  <proof prover="0"><result status="valid" time="0.000000" steps="28"/></proof>
  </goal>
  <goal name="wrap_lines_plus&#39;vc.22" expl="loop invariant preservation" proved="true">
  <proof prover="0"><result status="valid" time="0.000000" steps="28"/></proof>
  </goal>
  <goal name="wrap_lines_plus&#39;vc.23" expl="loop invariant preservation" proved="true">
  <proof prover="0"><result status="valid" time="0.000000" steps="31"/></proof>
  </goal>
  <goal name="wrap_lines_plus&#39;vc.24" expl="loop invariant preservation" proved="true">
  <proof prover="0"><result status="valid" time="0.000000" steps="31"/></proof>
  </goal>
  <goal name="wrap_lines_plus&#39;vc.25" expl="loop invariant preservation" proved="true">
  <proof prover="0"><result status="valid" time="0.010000" steps="50"/></proof>
  </goal>
  <goal name="wrap_lines_plus&#39;vc.26" expl="loop invariant preservation" proved="true">
  <proof prover="0"><result status="valid" time="0.010000" steps="38"/></proof>
  </goal>
  <goal name="wrap_lines_plus&#39;vc.27" expl="loop invariant preservation" proved="true">
  <proof prover="0"><result status="valid" time="0.040000" steps="116"/></proof>
  </goal>
  <goal name="wrap_lines_plus&#39;vc.28" expl="loop invariant preservation" proved="true">
  <proof prover="0"><result status="valid" time="0.180000" steps="456"/></proof>
  </goal>
  <goal name="wrap_lines_plus&#39;vc.29" expl="index in array bounds" proved="true">
  <proof prover="0"><result status="valid" time="0.000000" steps="18"/></proof>
  </goal>
  <goal name="wrap_lines_plus&#39;vc.30" expl="index in array bounds" proved="true">
  <proof prover="0"><result status="valid" time="0.000000" steps="30"/></proof>
  </goal>
  <goal name="wrap_lines_plus&#39;vc.31" expl="loop invariant preservation" proved="true">
  <proof prover="0"><result status="valid" time="0.000000" steps="40"/></proof>
  </goal>
  <goal name="wrap_lines_plus&#39;vc.32" expl="loop invariant preservation" proved="true">
  <proof prover="0"><result status="valid" time="0.010000" steps="47"/></proof>
  </goal>
  <goal name="wrap_lines_plus&#39;vc.33" expl="loop invariant preservation" proved="true">
  <proof prover="0"><result status="valid" time="0.010000" steps="70"/></proof>
  </goal>
  <goal name="wrap_lines_plus&#39;vc.34" expl="loop invariant preservation" proved="true">
  <proof prover="0"><result status="valid" time="0.020000" steps="91"/></proof>
  </goal>
  <goal name="wrap_lines_plus&#39;vc.35" expl="loop invariant preservation" proved="true">
  <proof prover="0"><result status="valid" time="0.010000" steps="49"/></proof>
  </goal>
  <goal name="wrap_lines_plus&#39;vc.36" expl="loop invariant preservation" proved="true">
  <proof prover="0"><result status="valid" time="0.040000" steps="171"/></proof>
  </goal>
  <goal name="wrap_lines_plus&#39;vc.37" expl="loop invariant preservation" proved="true">
  <proof prover="0"><result status="valid" time="0.020000" steps="110"/></proof>
  </goal>
  <goal name="wrap_lines_plus&#39;vc.38" expl="loop invariant preservation" proved="true">
  <proof prover="0"><result status="valid" time="0.120000" steps="431"/></proof>
  </goal>
  <goal name="wrap_lines_plus&#39;vc.39" expl="loop invariant preservation" proved="true">
  <proof prover="1"><result status="valid" time="0.100000" steps="20812"/></proof>
  </goal>
  <goal name="wrap_lines_plus&#39;vc.40" expl="loop invariant preservation" proved="true">
  <proof prover="0"><result status="valid" time="0.000000" steps="24"/></proof>
  </goal>
  <goal name="wrap_lines_plus&#39;vc.41" expl="loop invariant preservation" proved="true">
  <proof prover="0"><result status="valid" time="0.000000" steps="31"/></proof>
  </goal>
  <goal name="wrap_lines_plus&#39;vc.42" expl="loop invariant preservation" proved="true">
  <proof prover="0"><result status="valid" time="0.000000" steps="29"/></proof>
  </goal>
  <goal name="wrap_lines_plus&#39;vc.43" expl="loop invariant preservation" proved="true">
  <proof prover="0"><result status="valid" time="0.010000" steps="37"/></proof>
  </goal>
  <goal name="wrap_lines_plus&#39;vc.44" expl="loop invariant preservation" proved="true">
  <proof prover="0"><result status="valid" time="0.000000" steps="30"/></proof>
  </goal>
  <goal name="wrap_lines_plus&#39;vc.45" expl="loop invariant preservation" proved="true">
  <proof prover="0"><result status="valid" time="0.010000" steps="47"/></proof>
  </goal>
  <goal name="wrap_lines_plus&#39;vc.46" expl="loop invariant preservation" proved="true">
  <proof prover="0"><result status="valid" time="0.010000" steps="37"/></proof>
  </goal>
  <goal name="wrap_lines_plus&#39;vc.47" expl="loop invariant preservation" proved="true">
  <proof prover="0"><result status="valid" time="0.030000" steps="109"/></proof>
  </goal>
  <goal name="wrap_lines_plus&#39;vc.48" expl="loop invariant preservation" proved="true">
  <proof prover="0"><result status="valid" time="0.180000" steps="419"/></proof>
  </goal>
  <goal name="wrap_lines_plus&#39;vc.49" expl="loop invariant preservation" proved="true">
  <proof prover="0"><result status="valid" time="0.000000" steps="20"/></proof>
  </goal>
  <goal name="wrap_lines_plus&#39;vc.50" expl="loop invariant preservation" proved="true">
  <proof prover="0"><result status="valid" time="0.000000" steps="25"/></proof>
  </goal>
  <goal name="wrap_lines_plus&#39;vc.51" expl="loop invariant preservation" proved="true">
  <proof prover="0"><result status="valid" time="0.000000" steps="25"/></proof>
  </goal>
  <goal name="wrap_lines_plus&#39;vc.52" expl="loop invariant preservation" proved="true">
  <proof prover="0"><result status="valid" time="0.010000" steps="29"/></proof>
  </goal>
  <goal name="wrap_lines_plus&#39;vc.53" expl="loop invariant preservation" proved="true">
  <proof prover="0"><result status="valid" time="0.010000" steps="29"/></proof>
  </goal>
  <goal name="wrap_lines_plus&#39;vc.54" expl="loop invariant preservation" proved="true">
  <proof prover="0"><result status="valid" time="0.010000" steps="37"/></proof>
  </goal>
  <goal name="wrap_lines_plus&#39;vc.55" expl="loop invariant preservation" proved="true">
  <proof prover="0"><result status="valid" time="0.010000" steps="29"/></proof>
  </goal>
  <goal name="wrap_lines_plus&#39;vc.56" expl="loop invariant preservation" proved="true">
  <proof prover="0"><result status="valid" time="0.020000" steps="78"/></proof>
  </goal>
  <goal name="wrap_lines_plus&#39;vc.57" expl="loop invariant preservation" proved="true">
  <proof prover="0"><result status="valid" time="0.110000" steps="256"/></proof>
  </goal>
  <goal name="wrap_lines_plus&#39;vc.58" expl="index in array bounds" proved="true">
  <proof prover="0"><result status="valid" time="0.000000" steps="24"/></proof>
  </goal>
  <goal name="wrap_lines_plus&#39;vc.59" expl="postcondition" proved="true">
  <proof prover="0"><result status="valid" time="0.020000" steps="124"/></proof>
  </goal>
  <goal name="wrap_lines_plus&#39;vc.60" expl="postcondition" proved="true">
  <proof prover="0"><result status="valid" time="0.110000" steps="505"/></proof>
  </goal>
  <goal name="wrap_lines_plus&#39;vc.61" expl="postcondition" proved="true">
  <proof prover="2"><result status="valid" time="0.200000" steps="1722"/></proof>
  </goal>
  <goal name="wrap_lines_plus&#39;vc.62" expl="postcondition" proved="true">
  <proof prover="0"><result status="valid" time="0.000000" steps="24"/></proof>
  </goal>
  <goal name="wrap_lines_plus&#39;vc.63" expl="postcondition" proved="true">
  <proof prover="0"><result status="valid" time="0.020000" steps="81"/></proof>
  </goal>
  <goal name="wrap_lines_plus&#39;vc.64" expl="postcondition" proved="true">
  <proof prover="0"><result status="valid" time="0.100000" steps="286"/></proof>
  </goal>
  <goal name="wrap_lines_plus&#39;vc.65" expl="out of loop bounds" proved="true">
  <proof prover="0"><result status="valid" time="0.000000" steps="9"/></proof>
  </goal>
 </transf>
 </goal>
</theory>
<theory name="WrapLinesOCaml" proved="true">
 <goal name="space&#39;vc" expl="VC for space" proved="true">
 <transf name="split_vc" proved="true" >
  <goal name="space&#39;vc.0" expl="precondition" proved="true">
  <proof prover="0"><result status="valid" time="0.010000" steps="10"/></proof>
  </goal>
 </transf>
 </goal>
 <goal name="newline&#39;vc" expl="VC for newline" proved="true">
 <transf name="split_vc" proved="true" >
  <goal name="newline&#39;vc.0" expl="precondition" proved="true">
  <proof prover="0"><result status="valid" time="0.010000" steps="10"/></proof>
  </goal>
 </transf>
 </goal>
 <goal name="infix =&#39;refn&#39;vc" expl="VC for infix =&#39;refn" proved="true">
 <transf name="split_vc" proved="true" >
  <goal name="infix =&#39;refn&#39;vc.0" expl="postcondition" proved="true">
  <proof prover="0"><result status="valid" time="0.010000" steps="10"/></proof>
  </goal>
 </transf>
 </goal>
</theory>
</file>
</why3session>
