<?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="Z3" version="4.11.2" timelimit="3" steplimit="0" memlimit="1000"/>
<prover id="3" name="CVC3" version="2.4.1" timelimit="5" steplimit="0" memlimit="1000"/>
<prover id="4" name="Alt-Ergo" version="2.0.0" timelimit="5" steplimit="0" memlimit="1000"/>
<prover id="5" name="CVC4" version="1.5" timelimit="1" steplimit="0" memlimit="1000"/>
<prover id="6" name="CVC4" version="1.4" timelimit="5" steplimit="0" memlimit="1000"/>
<file format="whyml" proved="true">
<path name=".."/><path name="bitvector.why"/>
<theory name="BitVector" proved="true">
 <goal name="Nth_bw_xor_v1true" proved="true">
 <proof prover="3"><result status="valid" time="0.010000"/></proof>
 <proof prover="4"><result status="valid" time="0.080000" steps="96"/></proof>
 <proof prover="6"><result status="valid" time="0.020000"/></proof>
 </goal>
 <goal name="Nth_bw_xor_v1false" proved="true">
 <proof prover="3"><result status="valid" time="0.000000"/></proof>
 <proof prover="4"><result status="valid" time="0.080000" steps="87"/></proof>
 <proof prover="6"><result status="valid" time="0.040000"/></proof>
 </goal>
 <goal name="Nth_bw_xor_v2true" proved="true">
 <proof prover="3"><result status="valid" time="0.020000"/></proof>
 <proof prover="4"><result status="valid" time="0.030000" steps="88"/></proof>
 <proof prover="6"><result status="valid" time="0.030000"/></proof>
 </goal>
 <goal name="Nth_bw_xor_v2false" proved="true">
 <proof prover="3"><result status="valid" time="0.010000"/></proof>
 <proof prover="4"><result status="valid" time="0.050000" steps="88"/></proof>
 <proof prover="6"><result status="valid" time="0.030000"/></proof>
 </goal>
 <goal name="to_nat_of_zero2" proved="true">
 <transf name="introduce_premises" proved="true" >
  <goal name="to_nat_of_zero2.0" proved="true">
  <transf name="induction" proved="true" arg1="j">
   <goal name="to_nat_of_zero2.0.0" expl="base case" proved="true">
   <proof prover="5"><result status="valid" time="0.100000" steps="20598"/></proof>
   </goal>
   <goal name="to_nat_of_zero2.0.1" expl="recursive case" proved="true">
   <proof prover="5"><result status="valid" time="0.170000" steps="31925"/></proof>
   </goal>
  </transf>
  </goal>
 </transf>
 </goal>
 <goal name="to_nat_of_zero" proved="true">
 <transf name="intros" proved="true" arg1="b,j">
  <goal name="to_nat_of_zero.0" proved="true">
  <transf name="induction" proved="true" arg1="j">
   <goal name="to_nat_of_zero.0.0" expl="base case" proved="true">
   <proof prover="5"><result status="valid" time="0.090000" steps="20562"/></proof>
   </goal>
   <goal name="to_nat_of_zero.0.1" expl="recursive case" proved="true">
   <proof prover="5"><result status="valid" time="0.150000" steps="31669"/></proof>
   </goal>
  </transf>
  </goal>
 </transf>
 </goal>
 <goal name="to_nat_of_one&#39;vc" expl="VC for to_nat_of_one" proved="true">
 <transf name="split_vc" proved="true" >
  <goal name="to_nat_of_one&#39;vc.0" expl="variant decrease" proved="true">
  <proof prover="5"><result status="valid" time="0.020000" steps="8111"/></proof>
  </goal>
  <goal name="to_nat_of_one&#39;vc.1" expl="precondition" proved="true">
  <proof prover="5"><result status="valid" time="0.030000" steps="8395"/></proof>
  </goal>
  <goal name="to_nat_of_one&#39;vc.2" expl="precondition" proved="true">
  <proof prover="5"><result status="valid" time="0.060000" steps="14755"/></proof>
  </goal>
  <goal name="to_nat_of_one&#39;vc.3" expl="postcondition" proved="true">
  <transf name="split_vc" proved="true" >
   <goal name="to_nat_of_one&#39;vc.3.0" expl="postcondition" proved="true">
   <proof prover="5" timelimit="5"><result status="valid" time="0.180000" steps="34890"/></proof>
   </goal>
   <goal name="to_nat_of_one&#39;vc.3.1" expl="postcondition" proved="true">
   <proof prover="5" timelimit="5"><result status="valid" time="0.180000" steps="33552"/></proof>
   </goal>
  </transf>
  </goal>
 </transf>
 </goal>
 <goal name="to_nat_sub_footprint" proved="true">
 <transf name="intros" proved="true" arg1="b1,b2,j">
  <goal name="to_nat_sub_footprint.0" proved="true">
  <transf name="induction" proved="true" arg1="j">
   <goal name="to_nat_sub_footprint.0.0" expl="base case" proved="true">
   <proof prover="5"><result status="valid" time="0.130000" steps="23945"/></proof>
   </goal>
   <goal name="to_nat_sub_footprint.0.1" expl="recursive case" proved="true">
   <proof prover="5"><result status="valid" time="0.360000" steps="58186"/></proof>
   </goal>
  </transf>
  </goal>
 </transf>
 </goal>
 <goal name="nth_from_int_low_even" proved="true">
 <proof prover="3"><result status="valid" time="0.070000"/></proof>
 <proof prover="4"><result status="valid" time="0.020000" steps="76"/></proof>
 <proof prover="6"><result status="valid" time="0.060000"/></proof>
 </goal>
 <goal name="nth_from_int_low_odd" proved="true">
 <proof prover="3"><result status="valid" time="0.060000"/></proof>
 <proof prover="4"><result status="valid" time="0.030000" steps="76"/></proof>
 <proof prover="6"><result status="valid" time="0.070000"/></proof>
 </goal>
 <goal name="nth_from_int_0" proved="true">
 <proof prover="3"><result status="valid" time="0.100000"/></proof>
 <proof prover="4"><result status="valid" time="0.100000" steps="71"/></proof>
 <proof prover="6"><result status="valid" time="0.070000"/></proof>
 </goal>
 <goal name="nth_from_int2c_low_even" proved="true">
 <proof prover="3"><result status="valid" time="0.080000"/></proof>
 <proof prover="4"><result status="valid" time="0.040000" steps="78"/></proof>
 <proof prover="6"><result status="valid" time="0.080000"/></proof>
 </goal>
 <goal name="nth_from_int2c_low_odd" proved="true">
 <proof prover="3"><result status="valid" time="0.120000"/></proof>
 <proof prover="4"><result status="valid" time="0.040000" steps="78"/></proof>
 <proof prover="6"><result status="valid" time="0.070000"/></proof>
 </goal>
 <goal name="nth_from_int2c_0" proved="true">
 <proof prover="3"><result status="valid" time="0.110000"/></proof>
 <proof prover="4"><result status="valid" time="0.140000" steps="78"/></proof>
 </goal>
 <goal name="nth_from_int2c_plus_pow2" proved="true">
 <proof prover="4" timelimit="1"><result status="valid" time="0.160000" steps="118"/></proof>
 </goal>
</theory>
<theory name="BV32" proved="true">
 <goal name="size_positive" proved="true">
 <proof prover="4"><result status="valid" time="0.010000" steps="65"/></proof>
 </goal>
</theory>
<theory name="BV64" proved="true">
 <goal name="size_positive" proved="true">
 <proof prover="4"><result status="valid" time="0.010000" steps="65"/></proof>
 </goal>
</theory>
<theory name="TestBv32" proved="true">
 <goal name="Test1" proved="true">
 <proof prover="0" timelimit="5"><result status="valid" time="0.540000" steps="962814"/></proof>
 <proof prover="3" timelimit="3"><result status="valid" time="0.070000"/></proof>
 <proof prover="4"><result status="valid" time="0.060000" steps="73"/></proof>
 <proof prover="6"><result status="valid" time="0.040000"/></proof>
 </goal>
 <goal name="Test2" proved="true">
 <proof prover="0"><result status="valid" time="0.414795" steps="962830"/></proof>
 <proof prover="3" timelimit="3"><result status="valid" time="0.060000"/></proof>
 <proof prover="4"><result status="valid" time="0.040000" steps="74"/></proof>
 <proof prover="6"><result status="valid" time="0.040000"/></proof>
 </goal>
 <goal name="Test3" proved="true">
 <proof prover="0"><result status="valid" time="0.050000" steps="212103"/></proof>
 <proof prover="3" timelimit="3"><result status="valid" time="0.020000"/></proof>
 <proof prover="4"><result status="valid" time="0.030000" steps="67"/></proof>
 <proof prover="6"><result status="valid" time="0.040000"/></proof>
 </goal>
 <goal name="Test4" proved="true">
 <proof prover="0"><result status="valid" time="0.424558" steps="962860"/></proof>
 <proof prover="3" timelimit="3"><result status="valid" time="0.070000"/></proof>
 <proof prover="4"><result status="valid" time="0.040000" steps="71"/></proof>
 <proof prover="6"><result status="valid" time="0.040000"/></proof>
 </goal>
 <goal name="Test5" proved="true">
 <proof prover="0"><result status="valid" time="0.580000" steps="962860"/></proof>
 <proof prover="3" timelimit="3"><result status="valid" time="0.070000"/></proof>
 <proof prover="4"><result status="valid" time="0.050000" steps="71"/></proof>
 <proof prover="6"><result status="valid" time="0.040000"/></proof>
 </goal>
 <goal name="Test6" proved="true">
 <proof prover="0" timelimit="9"><result status="valid" time="0.610000" steps="962936"/></proof>
 <proof prover="3" timelimit="3"><result status="valid" time="0.070000"/></proof>
 <proof prover="4"><result status="valid" time="0.050000" steps="71"/></proof>
 <proof prover="6"><result status="valid" time="0.050000"/></proof>
 </goal>
 <goal name="to_nat_0x00000000" proved="true">
 <proof prover="0" timelimit="5"><result status="valid" time="0.930000" steps="1022954"/></proof>
 <proof prover="6"><result status="valid" time="0.050000"/></proof>
 </goal>
 <goal name="to_nat_0x00000001" proved="true">
 <proof prover="4" timelimit="30"><result status="valid" time="7.375774" steps="2706"/></proof>
 </goal>
 <goal name="to_nat_0x00000003" proved="true">
 <proof prover="6" timelimit="120"><result status="valid" time="61.170000"/></proof>
 </goal>
 <goal name="to_nat_0x00000007" proved="true">
 <proof prover="4" timelimit="30"><result status="valid" time="12.760000" steps="2976"/></proof>
 </goal>
 <goal name="to_nat_0x0000000F" proved="true">
 <proof prover="4" timelimit="30"><result status="valid" time="9.704568" steps="2846"/></proof>
 </goal>
 <goal name="to_nat_0x0000001F" proved="true">
 <proof prover="4" timelimit="30"><result status="valid" time="8.682660" steps="2687"/></proof>
 </goal>
 <goal name="to_nat_0x0000003F" proved="true">
 <proof prover="4" timelimit="30"><result status="valid" time="8.123407" steps="2537"/></proof>
 </goal>
 <goal name="to_nat_0x0000007F" proved="true">
 <proof prover="4" timelimit="30"><result status="valid" time="7.325352" steps="2389"/></proof>
 </goal>
 <goal name="to_nat_0x000000FF" proved="true">
 <proof prover="4" timelimit="30"><result status="valid" time="7.408344" steps="2309"/></proof>
 </goal>
 <goal name="to_nat_0x000001FF" proved="true">
 <proof prover="4" timelimit="30"><result status="valid" time="6.115184" steps="2187"/></proof>
 </goal>
 <goal name="to_nat_0x000003FF" proved="true">
 <proof prover="4" timelimit="30"><result status="valid" time="5.488174" steps="2046"/></proof>
 </goal>
 <goal name="to_nat_0x000007FF" proved="true">
 <proof prover="4" timelimit="30"><result status="valid" time="4.991847" steps="1914"/></proof>
 </goal>
 <goal name="to_nat_0x00000FFF" proved="true">
 <proof prover="4" timelimit="30"><result status="valid" time="4.509960" steps="1784"/></proof>
 </goal>
 <goal name="to_nat_0x00001FFF" proved="true">
 <proof prover="4" timelimit="30"><result status="valid" time="4.433364" steps="1718"/></proof>
 </goal>
 <goal name="to_nat_0x00003FFF" proved="true">
 <proof prover="4" timelimit="30"><result status="valid" time="3.658336" steps="1603"/></proof>
 </goal>
 <goal name="to_nat_0x00007FFF" proved="true">
 <proof prover="4" timelimit="30"><result status="valid" time="3.214948" steps="1480"/></proof>
 </goal>
 <goal name="to_nat_0x0000FFFF" proved="true">
 <proof prover="4" timelimit="30"><result status="valid" time="2.738160" steps="1364"/></proof>
 </goal>
 <goal name="to_nat_0x0001FFFF" proved="true">
 <proof prover="4" timelimit="30"><result status="valid" time="2.423823" steps="1259"/></proof>
 </goal>
 <goal name="to_nat_0x0003FFFF" proved="true">
 <proof prover="6" timelimit="30"><result status="valid" time="1.925938"/></proof>
 </goal>
 <goal name="to_nat_0x0007FFFF" proved="true">
 <proof prover="6" timelimit="30"><result status="valid" time="1.464887"/></proof>
 </goal>
 <goal name="to_nat_0x000FFFFF" proved="true">
 <proof prover="6" timelimit="30"><result status="valid" time="1.101944"/></proof>
 </goal>
 <goal name="to_nat_0x00FFFFFF" proved="true">
 <proof prover="4" timelimit="1"><result status="valid" time="0.920000" steps="665"/></proof>
 </goal>
 <goal name="to_nat_0xFFFFFFFF" proved="true">
 <proof prover="5"><result status="valid" time="0.100000" steps="23401"/></proof>
 </goal>
</theory>
</file>
</why3session>
