<?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="CVC3" version="2.4.1" timelimit="5" steplimit="0" memlimit="1000"/>
<prover id="1" name="Alt-Ergo" version="2.2.0" timelimit="5" steplimit="0" memlimit="1000"/>
<prover id="2" name="Z3" version="4.8.10" timelimit="5" steplimit="0" memlimit="1000"/>
<prover id="6" name="Z3" version="3.2" timelimit="5" steplimit="0" memlimit="1000"/>
<file format="whyml" proved="true">
<path name=".."/><path name="ceil.why"/>
<theory name="Ceil" proved="true">
 <goal name="ceil_obvious" proved="true">
 <proof prover="1"><result status="valid" time="0.010000" steps="29"/></proof>
 <proof prover="2"><result status="valid" time="0.010000" steps="26"/></proof>
 <proof prover="6"><result status="valid" time="0.010000"/></proof>
 </goal>
 <goal name="unity" proved="true">
 <proof prover="0"><result status="valid" time="0.000000"/></proof>
 <proof prover="1"><result status="valid" time="0.010000" steps="6"/></proof>
 <proof prover="2"><result status="valid" time="0.000000" steps="34"/></proof>
 <proof prover="6"><result status="valid" time="0.000000"/></proof>
 </goal>
 <goal name="unity2" proved="true">
 <proof prover="0"><result status="valid" time="0.000000"/></proof>
 <proof prover="1"><result status="valid" time="0.010000" steps="6"/></proof>
 <proof prover="2"><result status="valid" time="0.000000" steps="71"/></proof>
 <proof prover="6"><result status="valid" time="0.000000"/></proof>
 </goal>
 <goal name="perm_div" proved="true">
 <proof prover="0"><result status="valid" time="0.000000"/></proof>
 <proof prover="1"><result status="valid" time="0.010000" steps="10"/></proof>
 <proof prover="2"><result status="valid" time="0.017946" steps="5452"/></proof>
 <proof prover="6"><result status="valid" time="0.000000"/></proof>
 </goal>
 <goal name="perm_div2" proved="true">
 <proof prover="2"><result status="valid" time="0.074921" steps="21559"/></proof>
 <proof prover="6"><result status="valid" time="0.010000"/></proof>
 </goal>
 <goal name="div_mult_perm" proved="true">
 <proof prover="1"><result status="valid" time="0.010000" steps="8"/></proof>
 <proof prover="2"><result status="valid" time="0.177280" steps="58307"/></proof>
 <proof prover="6"><result status="valid" time="0.010000"/></proof>
 </goal>
 <goal name="b_div_b_is_one" proved="true">
 <proof prover="0"><result status="valid" time="0.000000"/></proof>
 <proof prover="2"><result status="valid" time="0.041811" steps="23185"/></proof>
 <proof prover="6"><result status="valid" time="0.010000"/></proof>
 </goal>
 <goal name="inverse_inverse_is_same" proved="true">
 <proof prover="1"><result status="valid" time="0.020000" steps="8"/></proof>
 <proof prover="2"><result status="valid" time="0.010000" steps="2328"/></proof>
 <proof prover="6"><result status="valid" time="0.010000"/></proof>
 </goal>
 <goal name="inverse_bigger_zero" proved="true">
 <proof prover="1"><result status="valid" time="0.000000" steps="6"/></proof>
 <proof prover="2"><result status="valid" time="0.020000" steps="3115"/></proof>
 <proof prover="6"><result status="valid" time="0.020000"/></proof>
 </goal>
 <goal name="div_equals_mult_w_inverse" proved="true">
 <proof prover="1"><result status="valid" time="0.010000" steps="8"/></proof>
 <proof prover="2"><result status="valid" time="0.790373" steps="421657"/></proof>
 <proof prover="6"><result status="valid" time="0.020000"/></proof>
 </goal>
 <goal name="mult_bigger_zero" proved="true">
 <proof prover="0"><result status="valid" time="0.000000"/></proof>
 <proof prover="1"><result status="valid" time="0.010000" steps="8"/></proof>
 <proof prover="2"><result status="valid" time="0.020000" steps="3809"/></proof>
 <proof prover="6"><result status="valid" time="0.010000"/></proof>
 </goal>
 <goal name="ceil_never_zero" proved="true">
 <proof prover="1"><result status="valid" time="0.100000" steps="10"/></proof>
 <proof prover="2"><result status="valid" time="0.010000" steps="5074"/></proof>
 <proof prover="6"><result status="valid" time="0.010000"/></proof>
 </goal>
</theory>
</file>
</why3session>
