<?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="Coq" version="8.11.2" timelimit="3" steplimit="0" memlimit="0"/>
<prover id="1" name="CVC3" version="2.4.1" timelimit="3" steplimit="0" memlimit="0"/>
<prover id="2" name="Alt-Ergo" version="2.0.0" timelimit="5" steplimit="0" memlimit="1000"/>
<file format="whyml" proved="true">
<path name=".."/><path name="imp_n.why"/>
<theory name="Imp" proved="true">
 <goal name="ident_eq_dec" proved="true">
 <proof prover="2"><result status="valid" time="0.00" steps="1"/></proof>
 </goal>
 <goal name="check_skip" proved="true">
 <proof prover="2"><result status="valid" time="0.00" steps="2"/></proof>
 </goal>
 <goal name="Test13" proved="true">
 <proof prover="2"><result status="valid" time="0.01" steps="3"/></proof>
 </goal>
 <goal name="Test42" proved="true">
 <proof prover="2"><result status="valid" time="0.01" steps="3"/></proof>
 </goal>
 <goal name="Test55" proved="true">
 <proof prover="2"><result status="valid" time="0.00" steps="16"/></proof>
 </goal>
 <goal name="Ass42" proved="true">
 <proof prover="2"><result status="valid" time="0.04" steps="91"/></proof>
 </goal>
 <goal name="If42" proved="true">
 <proof prover="2"><result status="valid" time="0.13" steps="328"/></proof>
 </goal>
 <goal name="progress" proved="true">
 <proof prover="0"><path name="imp_n_Imp_progress_1.v"/><result status="valid" time="0.30"/></proof>
 </goal>
 <goal name="steps_non_neg" proved="true">
 <proof prover="0"><path name="imp_n_Imp_steps_non_neg_1.v"/><result status="valid" time="0.28"/></proof>
 </goal>
 <goal name="many_steps_seq" proved="true">
 <proof prover="0"><path name="imp_n_Imp_many_steps_seq_1.v"/><result status="valid" time="0.40"/></proof>
 </goal>
 <goal name="eval_subst_expr" proved="true">
 <transf name="induction_ty_lex" proved="true" >
  <goal name="eval_subst_expr.0" proved="true">
  <proof prover="2"><result status="valid" time="0.02" steps="107"/></proof>
  </goal>
 </transf>
 </goal>
 <goal name="eval_subst" proved="true">
 <proof prover="0"><path name="imp_n_Imp_eval_subst_1.v"/><result status="valid" time="0.33"/></proof>
 </goal>
 <goal name="skip_rule" proved="true">
 <proof prover="2"><result status="valid" time="0.04" steps="149"/></proof>
 </goal>
 <goal name="assign_rule" proved="true">
 <proof prover="2"><result status="valid" time="0.70" steps="1641"/></proof>
 </goal>
 <goal name="seq_rule" proved="true">
 <proof prover="2"><result status="valid" time="0.84" steps="3015"/></proof>
 </goal>
 <goal name="if_rule" proved="true">
 <proof prover="0"><path name="imp_n_Imp_if_rule_1.v"/><result status="valid" time="0.34"/></proof>
 </goal>
 <goal name="while_rule" proved="true">
 <proof prover="0"><path name="imp_n_Imp_while_rule_1.v"/><result status="valid" time="0.37"/></proof>
 </goal>
 <goal name="consequence_rule" proved="true">
 <proof prover="1"><result status="valid" time="0.05"/></proof>
 </goal>
</theory>
</file>
</why3session>
