<?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="2.0.0" timelimit="5" steplimit="0" memlimit="1000"/>
<prover id="1" name="CVC4" version="1.5" timelimit="1" steplimit="0" memlimit="1000"/>
<prover id="5" name="CVC3" version="2.4.1" timelimit="30" steplimit="0" memlimit="1000"/>
<prover id="6" name="CVC4" version="1.4" timelimit="5" steplimit="0" memlimit="1000"/>
<prover id="7" name="Eprover" version="1.8-001" timelimit="5" steplimit="0" memlimit="1000"/>
<file format="whyml" proved="true">
<path name=".."/><path name="Firstorder_formula_list_impl.mlw"/>
<theory name="Logic" proved="true">
 <goal name="nlsize_positive_lemma_fo_formula_list&#39;vc" expl="VC for nlsize_positive_lemma_fo_formula_list" proved="true">
 <proof prover="0" timelimit="1"><result status="valid" time="0.10" steps="295"/></proof>
 </goal>
 <goal name="nlmodel_subst_commutation_lemma_fo_formula_list&#39;vc" expl="VC for nlmodel_subst_commutation_lemma_fo_formula_list" proved="true">
 <transf name="split_goal_right" proved="true" >
  <goal name="nlmodel_subst_commutation_lemma_fo_formula_list&#39;vc.0" expl="assertion" proved="true">
  <proof prover="0"><result status="valid" time="0.06" steps="15"/></proof>
  </goal>
  <goal name="nlmodel_subst_commutation_lemma_fo_formula_list&#39;vc.1" expl="assertion" proved="true">
  <proof prover="0"><result status="valid" time="0.16" steps="16"/></proof>
  </goal>
  <goal name="nlmodel_subst_commutation_lemma_fo_formula_list&#39;vc.2" expl="assertion" proved="true">
  <proof prover="0" timelimit="1"><result status="valid" time="0.11" steps="17"/></proof>
  </goal>
  <goal name="nlmodel_subst_commutation_lemma_fo_formula_list&#39;vc.3" expl="assertion" proved="true">
  <proof prover="0" timelimit="1"><result status="valid" time="0.11" steps="18"/></proof>
  </goal>
  <goal name="nlmodel_subst_commutation_lemma_fo_formula_list&#39;vc.4" expl="variant decrease" proved="true">
  <proof prover="0" timelimit="1"><result status="valid" time="0.13" steps="63"/></proof>
  </goal>
  <goal name="nlmodel_subst_commutation_lemma_fo_formula_list&#39;vc.5" expl="assertion" proved="true">
  <proof prover="0"><result status="valid" time="0.12" steps="15"/></proof>
  </goal>
  <goal name="nlmodel_subst_commutation_lemma_fo_formula_list&#39;vc.6" expl="assertion" proved="true">
  <proof prover="0"><result status="valid" time="0.13" steps="15"/></proof>
  </goal>
  <goal name="nlmodel_subst_commutation_lemma_fo_formula_list&#39;vc.7" expl="assertion" proved="true">
  <proof prover="0" timelimit="1"><result status="valid" time="0.13" steps="15"/></proof>
  </goal>
  <goal name="nlmodel_subst_commutation_lemma_fo_formula_list&#39;vc.8" expl="assertion" proved="true">
  <proof prover="0" timelimit="1"><result status="valid" time="0.12" steps="15"/></proof>
  </goal>
  <goal name="nlmodel_subst_commutation_lemma_fo_formula_list&#39;vc.9" expl="postcondition" proved="true">
  <proof prover="0" timelimit="1"><result status="valid" time="0.10" steps="89"/></proof>
  </goal>
 </transf>
 </goal>
 <goal name="nlmodel_rename_commutation_lemma_fo_formula_list&#39;vc" expl="VC for nlmodel_rename_commutation_lemma_fo_formula_list" proved="true">
 <proof prover="0" timelimit="1"><result status="valid" time="0.13" steps="27"/></proof>
 </goal>
 <goal name="bound_depth_of_symbol_in_fo_formula_list_nonnegative&#39;vc" expl="VC for bound_depth_of_symbol_in_fo_formula_list_nonnegative" proved="true">
 <proof prover="0"><result status="valid" time="0.13" steps="135"/></proof>
 </goal>
 <goal name="bound_depth_of_fo_term_in_fo_formula_list_nonnegative&#39;vc" expl="VC for bound_depth_of_fo_term_in_fo_formula_list_nonnegative" proved="true">
 <proof prover="0" timelimit="1"><result status="valid" time="0.14" steps="117"/></proof>
 </goal>
 <goal name="model_equal_fo_formula_list&#39;vc" expl="VC for model_equal_fo_formula_list" proved="true">
 <transf name="split_goal_right" proved="true" >
  <goal name="model_equal_fo_formula_list&#39;vc.0" expl="precondition" proved="true">
  <proof prover="0"><result status="valid" time="0.24" steps="755"/></proof>
  </goal>
  <goal name="model_equal_fo_formula_list&#39;vc.1" expl="precondition" proved="true">
  <proof prover="0"><result status="valid" time="0.14" steps="12"/></proof>
  </goal>
  <goal name="model_equal_fo_formula_list&#39;vc.2" expl="precondition" proved="true">
  <proof prover="0"><result status="valid" time="0.10" steps="484"/></proof>
  </goal>
  <goal name="model_equal_fo_formula_list&#39;vc.3" expl="precondition" proved="true">
  <proof prover="0"><result status="valid" time="0.14" steps="13"/></proof>
  </goal>
  <goal name="model_equal_fo_formula_list&#39;vc.4" expl="precondition" proved="true">
  <proof prover="0"><result status="valid" time="0.15" steps="40"/></proof>
  </goal>
  <goal name="model_equal_fo_formula_list&#39;vc.5" expl="variant decrease" proved="true">
  <proof prover="0"><result status="valid" time="0.16" steps="51"/></proof>
  </goal>
  <goal name="model_equal_fo_formula_list&#39;vc.6" expl="precondition" proved="true">
  <proof prover="0"><result status="valid" time="0.89" steps="3585"/></proof>
  </goal>
  <goal name="model_equal_fo_formula_list&#39;vc.7" expl="precondition" proved="true">
  <proof prover="0"><result status="valid" time="0.14" steps="13"/></proof>
  </goal>
  <goal name="model_equal_fo_formula_list&#39;vc.8" expl="precondition" proved="true">
  <proof prover="0"><result status="valid" time="0.18" steps="553"/></proof>
  </goal>
  <goal name="model_equal_fo_formula_list&#39;vc.9" expl="precondition" proved="true">
  <proof prover="0"><result status="valid" time="0.16" steps="14"/></proof>
  </goal>
  <goal name="model_equal_fo_formula_list&#39;vc.10" expl="precondition" proved="true">
  <proof prover="0"><result status="valid" time="0.17" steps="40"/></proof>
  </goal>
  <goal name="model_equal_fo_formula_list&#39;vc.11" expl="postcondition" proved="true">
  <proof prover="0"><result status="valid" time="0.15" steps="33"/></proof>
  </goal>
 </transf>
 </goal>
</theory>
<theory name="Impl" proved="true">
 <goal name="bind_var_symbol_in_fo_formula_list&#39;vc" expl="VC for bind_var_symbol_in_fo_formula_list" proved="true">
 <transf name="split_goal_right" proved="true" >
  <goal name="bind_var_symbol_in_fo_formula_list&#39;vc.0" expl="assertion" proved="true">
  <proof prover="0"><result status="valid" time="0.14" steps="12"/></proof>
  </goal>
  <goal name="bind_var_symbol_in_fo_formula_list&#39;vc.1" expl="assertion" proved="true">
  <proof prover="0"><result status="valid" time="0.16" steps="22"/></proof>
  </goal>
  <goal name="bind_var_symbol_in_fo_formula_list&#39;vc.2" expl="assertion" proved="true">
  <proof prover="0"><result status="valid" time="0.16" steps="14"/></proof>
  </goal>
  <goal name="bind_var_symbol_in_fo_formula_list&#39;vc.3" expl="assertion" proved="true">
  <proof prover="0"><result status="valid" time="0.16" steps="14"/></proof>
  </goal>
  <goal name="bind_var_symbol_in_fo_formula_list&#39;vc.4" expl="assertion" proved="true">
  <proof prover="0"><result status="valid" time="0.06" steps="14"/></proof>
  </goal>
  <goal name="bind_var_symbol_in_fo_formula_list&#39;vc.5" expl="assertion" proved="true">
  <proof prover="0"><result status="valid" time="0.14" steps="14"/></proof>
  </goal>
  <goal name="bind_var_symbol_in_fo_formula_list&#39;vc.6" expl="variant decrease" proved="true">
  <proof prover="0"><result status="valid" time="0.16" steps="48"/></proof>
  </goal>
  <goal name="bind_var_symbol_in_fo_formula_list&#39;vc.7" expl="precondition" proved="true">
  <proof prover="0"><result status="valid" time="0.06" steps="38"/></proof>
  </goal>
  <goal name="bind_var_symbol_in_fo_formula_list&#39;vc.8" expl="precondition" proved="true">
  <proof prover="0"><result status="valid" time="0.06" steps="90"/></proof>
  </goal>
  <goal name="bind_var_symbol_in_fo_formula_list&#39;vc.9" expl="precondition" proved="true">
  <proof prover="0"><result status="valid" time="0.06" steps="56"/></proof>
  </goal>
  <goal name="bind_var_symbol_in_fo_formula_list&#39;vc.10" expl="precondition" proved="true">
  <proof prover="0"><result status="valid" time="0.15" steps="195"/></proof>
  </goal>
  <goal name="bind_var_symbol_in_fo_formula_list&#39;vc.11" expl="postcondition" proved="true">
  <proof prover="0"><result status="valid" time="0.14" steps="323"/></proof>
  </goal>
  <goal name="bind_var_symbol_in_fo_formula_list&#39;vc.12" expl="postcondition" proved="true">
  <proof prover="0"><result status="valid" time="0.15" steps="85"/></proof>
  </goal>
  <goal name="bind_var_symbol_in_fo_formula_list&#39;vc.13" expl="postcondition" proved="true">
  <proof prover="0"><result status="valid" time="0.14" steps="27"/></proof>
  </goal>
  <goal name="bind_var_symbol_in_fo_formula_list&#39;vc.14" expl="postcondition" proved="true">
  <proof prover="0"><result status="valid" time="0.15" steps="49"/></proof>
  </goal>
 </transf>
 </goal>
 <goal name="bind_var_fo_term_in_fo_formula_list&#39;vc" expl="VC for bind_var_fo_term_in_fo_formula_list" proved="true">
 <transf name="split_goal_right" proved="true" >
  <goal name="bind_var_fo_term_in_fo_formula_list&#39;vc.0" expl="assertion" proved="true">
  <proof prover="0" timelimit="1"><result status="valid" time="0.12" steps="12"/></proof>
  </goal>
  <goal name="bind_var_fo_term_in_fo_formula_list&#39;vc.1" expl="assertion" proved="true">
  <proof prover="0" timelimit="1"><result status="valid" time="0.10" steps="22"/></proof>
  </goal>
  <goal name="bind_var_fo_term_in_fo_formula_list&#39;vc.2" expl="assertion" proved="true">
  <proof prover="0" timelimit="1"><result status="valid" time="0.12" steps="14"/></proof>
  </goal>
  <goal name="bind_var_fo_term_in_fo_formula_list&#39;vc.3" expl="assertion" proved="true">
  <proof prover="0" timelimit="1"><result status="valid" time="0.12" steps="14"/></proof>
  </goal>
  <goal name="bind_var_fo_term_in_fo_formula_list&#39;vc.4" expl="assertion" proved="true">
  <proof prover="0" timelimit="1"><result status="valid" time="0.13" steps="14"/></proof>
  </goal>
  <goal name="bind_var_fo_term_in_fo_formula_list&#39;vc.5" expl="assertion" proved="true">
  <proof prover="0" timelimit="1"><result status="valid" time="0.13" steps="14"/></proof>
  </goal>
  <goal name="bind_var_fo_term_in_fo_formula_list&#39;vc.6" expl="variant decrease" proved="true">
  <proof prover="0" timelimit="1"><result status="valid" time="0.14" steps="48"/></proof>
  </goal>
  <goal name="bind_var_fo_term_in_fo_formula_list&#39;vc.7" expl="precondition" proved="true">
  <proof prover="0" timelimit="1"><result status="valid" time="0.16" steps="38"/></proof>
  </goal>
  <goal name="bind_var_fo_term_in_fo_formula_list&#39;vc.8" expl="precondition" proved="true">
  <proof prover="0" timelimit="1"><result status="valid" time="0.15" steps="78"/></proof>
  </goal>
  <goal name="bind_var_fo_term_in_fo_formula_list&#39;vc.9" expl="precondition" proved="true">
  <proof prover="0" timelimit="1"><result status="valid" time="0.17" steps="55"/></proof>
  </goal>
  <goal name="bind_var_fo_term_in_fo_formula_list&#39;vc.10" expl="precondition" proved="true">
  <proof prover="0" timelimit="1"><result status="valid" time="0.11" steps="121"/></proof>
  </goal>
  <goal name="bind_var_fo_term_in_fo_formula_list&#39;vc.11" expl="postcondition" proved="true">
  <proof prover="0" timelimit="1"><result status="valid" time="0.10" steps="321"/></proof>
  </goal>
  <goal name="bind_var_fo_term_in_fo_formula_list&#39;vc.12" expl="postcondition" proved="true">
  <proof prover="0" timelimit="1"><result status="valid" time="0.11" steps="86"/></proof>
  </goal>
  <goal name="bind_var_fo_term_in_fo_formula_list&#39;vc.13" expl="postcondition" proved="true">
  <proof prover="0"><result status="valid" time="0.12" steps="27"/></proof>
  </goal>
  <goal name="bind_var_fo_term_in_fo_formula_list&#39;vc.14" expl="postcondition" proved="true">
  <proof prover="0" timelimit="1"><result status="valid" time="0.13" steps="49"/></proof>
  </goal>
 </transf>
 </goal>
 <goal name="unbind_var_symbol_in_fo_formula_list&#39;vc" expl="VC for unbind_var_symbol_in_fo_formula_list" proved="true">
 <transf name="split_goal_right" proved="true" >
  <goal name="unbind_var_symbol_in_fo_formula_list&#39;vc.0" expl="assertion" proved="true">
  <proof prover="0"><result status="valid" time="0.14" steps="15"/></proof>
  </goal>
  <goal name="unbind_var_symbol_in_fo_formula_list&#39;vc.1" expl="assertion" proved="true">
  <proof prover="0"><result status="valid" time="0.06" steps="25"/></proof>
  </goal>
  <goal name="unbind_var_symbol_in_fo_formula_list&#39;vc.2" expl="assertion" proved="true">
  <proof prover="0"><result status="valid" time="0.16" steps="17"/></proof>
  </goal>
  <goal name="unbind_var_symbol_in_fo_formula_list&#39;vc.3" expl="assertion" proved="true">
  <proof prover="0"><result status="valid" time="0.16" steps="17"/></proof>
  </goal>
  <goal name="unbind_var_symbol_in_fo_formula_list&#39;vc.4" expl="assertion" proved="true">
  <proof prover="0"><result status="valid" time="0.14" steps="17"/></proof>
  </goal>
  <goal name="unbind_var_symbol_in_fo_formula_list&#39;vc.5" expl="assertion" proved="true">
  <proof prover="0"><result status="valid" time="0.16" steps="17"/></proof>
  </goal>
  <goal name="unbind_var_symbol_in_fo_formula_list&#39;vc.6" expl="variant decrease" proved="true">
  <proof prover="0"><result status="valid" time="0.13" steps="53"/></proof>
  </goal>
  <goal name="unbind_var_symbol_in_fo_formula_list&#39;vc.7" expl="precondition" proved="true">
  <proof prover="0"><result status="valid" time="0.05" steps="17"/></proof>
  </goal>
  <goal name="unbind_var_symbol_in_fo_formula_list&#39;vc.8" expl="precondition" proved="true">
  <proof prover="0"><result status="valid" time="0.06" steps="44"/></proof>
  </goal>
  <goal name="unbind_var_symbol_in_fo_formula_list&#39;vc.9" expl="precondition" proved="true">
  <proof prover="0"><result status="valid" time="0.16" steps="96"/></proof>
  </goal>
  <goal name="unbind_var_symbol_in_fo_formula_list&#39;vc.10" expl="precondition" proved="true">
  <proof prover="0"><result status="valid" time="0.14" steps="20"/></proof>
  </goal>
  <goal name="unbind_var_symbol_in_fo_formula_list&#39;vc.11" expl="precondition" proved="true">
  <proof prover="0"><result status="valid" time="0.16" steps="20"/></proof>
  </goal>
  <goal name="unbind_var_symbol_in_fo_formula_list&#39;vc.12" expl="precondition" proved="true">
  <proof prover="0"><result status="valid" time="0.06" steps="21"/></proof>
  </goal>
  <goal name="unbind_var_symbol_in_fo_formula_list&#39;vc.13" expl="precondition" proved="true">
  <proof prover="0"><result status="valid" time="0.07" steps="62"/></proof>
  </goal>
  <goal name="unbind_var_symbol_in_fo_formula_list&#39;vc.14" expl="precondition" proved="true">
  <proof prover="0"><result status="valid" time="0.07" steps="201"/></proof>
  </goal>
  <goal name="unbind_var_symbol_in_fo_formula_list&#39;vc.15" expl="precondition" proved="true">
  <proof prover="0"><result status="valid" time="0.14" steps="24"/></proof>
  </goal>
  <goal name="unbind_var_symbol_in_fo_formula_list&#39;vc.16" expl="precondition" proved="true">
  <proof prover="0"><result status="valid" time="0.16" steps="24"/></proof>
  </goal>
  <goal name="unbind_var_symbol_in_fo_formula_list&#39;vc.17" expl="postcondition" proved="true">
  <proof prover="0"><result status="valid" time="0.14" steps="88"/></proof>
  </goal>
  <goal name="unbind_var_symbol_in_fo_formula_list&#39;vc.18" expl="postcondition" proved="true">
  <proof prover="0"><result status="valid" time="0.17" steps="221"/></proof>
  </goal>
  <goal name="unbind_var_symbol_in_fo_formula_list&#39;vc.19" expl="postcondition" proved="true">
  <proof prover="0"><result status="valid" time="0.16" steps="30"/></proof>
  </goal>
  <goal name="unbind_var_symbol_in_fo_formula_list&#39;vc.20" expl="postcondition" proved="true">
  <proof prover="0"><result status="valid" time="0.16" steps="54"/></proof>
  </goal>
 </transf>
 </goal>
 <goal name="unbind_var_fo_term_in_fo_formula_list&#39;vc" expl="VC for unbind_var_fo_term_in_fo_formula_list" proved="true">
 <transf name="split_goal_right" proved="true" >
  <goal name="unbind_var_fo_term_in_fo_formula_list&#39;vc.0" expl="assertion" proved="true">
  <proof prover="0" timelimit="1"><result status="valid" time="0.12" steps="16"/></proof>
  </goal>
  <goal name="unbind_var_fo_term_in_fo_formula_list&#39;vc.1" expl="assertion" proved="true">
  <proof prover="0" timelimit="1"><result status="valid" time="0.12" steps="26"/></proof>
  </goal>
  <goal name="unbind_var_fo_term_in_fo_formula_list&#39;vc.2" expl="assertion" proved="true">
  <proof prover="0" timelimit="1"><result status="valid" time="0.13" steps="18"/></proof>
  </goal>
  <goal name="unbind_var_fo_term_in_fo_formula_list&#39;vc.3" expl="assertion" proved="true">
  <proof prover="0" timelimit="1"><result status="valid" time="0.10" steps="18"/></proof>
  </goal>
  <goal name="unbind_var_fo_term_in_fo_formula_list&#39;vc.4" expl="assertion" proved="true">
  <proof prover="0" timelimit="1"><result status="valid" time="0.12" steps="18"/></proof>
  </goal>
  <goal name="unbind_var_fo_term_in_fo_formula_list&#39;vc.5" expl="assertion" proved="true">
  <proof prover="0" timelimit="1"><result status="valid" time="0.11" steps="18"/></proof>
  </goal>
  <goal name="unbind_var_fo_term_in_fo_formula_list&#39;vc.6" expl="variant decrease" proved="true">
  <proof prover="0" timelimit="1"><result status="valid" time="0.12" steps="53"/></proof>
  </goal>
  <goal name="unbind_var_fo_term_in_fo_formula_list&#39;vc.7" expl="precondition" proved="true">
  <proof prover="0" timelimit="1"><result status="valid" time="0.13" steps="18"/></proof>
  </goal>
  <goal name="unbind_var_fo_term_in_fo_formula_list&#39;vc.8" expl="precondition" proved="true">
  <proof prover="0" timelimit="1"><result status="valid" time="0.14" steps="44"/></proof>
  </goal>
  <goal name="unbind_var_fo_term_in_fo_formula_list&#39;vc.9" expl="precondition" proved="true">
  <proof prover="0" timelimit="1"><result status="valid" time="0.11" steps="86"/></proof>
  </goal>
  <goal name="unbind_var_fo_term_in_fo_formula_list&#39;vc.10" expl="precondition" proved="true">
  <proof prover="0"><result status="valid" time="0.14" steps="21"/></proof>
  </goal>
  <goal name="unbind_var_fo_term_in_fo_formula_list&#39;vc.11" expl="precondition" proved="true">
  <proof prover="0" timelimit="1"><result status="valid" time="0.12" steps="21"/></proof>
  </goal>
  <goal name="unbind_var_fo_term_in_fo_formula_list&#39;vc.12" expl="precondition" proved="true">
  <proof prover="0" timelimit="1"><result status="valid" time="0.12" steps="21"/></proof>
  </goal>
  <goal name="unbind_var_fo_term_in_fo_formula_list&#39;vc.13" expl="precondition" proved="true">
  <proof prover="0" timelimit="1"><result status="valid" time="0.15" steps="22"/></proof>
  </goal>
  <goal name="unbind_var_fo_term_in_fo_formula_list&#39;vc.14" expl="precondition" proved="true">
  <proof prover="0" timelimit="1"><result status="valid" time="0.14" steps="60"/></proof>
  </goal>
  <goal name="unbind_var_fo_term_in_fo_formula_list&#39;vc.15" expl="precondition" proved="true">
  <proof prover="0" timelimit="1"><result status="valid" time="0.11" steps="127"/></proof>
  </goal>
  <goal name="unbind_var_fo_term_in_fo_formula_list&#39;vc.16" expl="precondition" proved="true">
  <proof prover="0"><result status="valid" time="0.15" steps="25"/></proof>
  </goal>
  <goal name="unbind_var_fo_term_in_fo_formula_list&#39;vc.17" expl="precondition" proved="true">
  <proof prover="0" timelimit="1"><result status="valid" time="0.12" steps="25"/></proof>
  </goal>
  <goal name="unbind_var_fo_term_in_fo_formula_list&#39;vc.18" expl="precondition" proved="true">
  <proof prover="0" timelimit="1"><result status="valid" time="0.11" steps="25"/></proof>
  </goal>
  <goal name="unbind_var_fo_term_in_fo_formula_list&#39;vc.19" expl="postcondition" proved="true">
  <proof prover="0" timelimit="1"><result status="valid" time="0.11" steps="88"/></proof>
  </goal>
  <goal name="unbind_var_fo_term_in_fo_formula_list&#39;vc.20" expl="postcondition" proved="true">
  <proof prover="0" timelimit="1"><result status="valid" time="0.11" steps="216"/></proof>
  </goal>
  <goal name="unbind_var_fo_term_in_fo_formula_list&#39;vc.21" expl="postcondition" proved="true">
  <proof prover="0"><result status="valid" time="0.14" steps="31"/></proof>
  </goal>
  <goal name="unbind_var_fo_term_in_fo_formula_list&#39;vc.22" expl="postcondition" proved="true">
  <proof prover="0" timelimit="1"><result status="valid" time="0.10" steps="53"/></proof>
  </goal>
 </transf>
 </goal>
 <goal name="subst_base_symbol_in_fo_formula_list&#39;vc" expl="VC for subst_base_symbol_in_fo_formula_list" proved="true">
 <transf name="split_goal_right" proved="true" >
  <goal name="subst_base_symbol_in_fo_formula_list&#39;vc.0" expl="assertion" proved="true">
  <proof prover="0"><result status="valid" time="0.15" steps="13"/></proof>
  </goal>
  <goal name="subst_base_symbol_in_fo_formula_list&#39;vc.1" expl="assertion" proved="true">
  <proof prover="0"><result status="valid" time="0.16" steps="22"/></proof>
  </goal>
  <goal name="subst_base_symbol_in_fo_formula_list&#39;vc.2" expl="assertion" proved="true">
  <proof prover="0"><result status="valid" time="0.05" steps="15"/></proof>
  </goal>
  <goal name="subst_base_symbol_in_fo_formula_list&#39;vc.3" expl="assertion" proved="true">
  <proof prover="0"><result status="valid" time="0.05" steps="15"/></proof>
  </goal>
  <goal name="subst_base_symbol_in_fo_formula_list&#39;vc.4" expl="assertion" proved="true">
  <proof prover="0"><result status="valid" time="0.06" steps="15"/></proof>
  </goal>
  <goal name="subst_base_symbol_in_fo_formula_list&#39;vc.5" expl="assertion" proved="true">
  <proof prover="0"><result status="valid" time="0.16" steps="15"/></proof>
  </goal>
  <goal name="subst_base_symbol_in_fo_formula_list&#39;vc.6" expl="variant decrease" proved="true">
  <proof prover="0"><result status="valid" time="0.16" steps="49"/></proof>
  </goal>
  <goal name="subst_base_symbol_in_fo_formula_list&#39;vc.7" expl="precondition" proved="true">
  <proof prover="0"><result status="valid" time="0.06" steps="39"/></proof>
  </goal>
  <goal name="subst_base_symbol_in_fo_formula_list&#39;vc.8" expl="precondition" proved="true">
  <proof prover="0"><result status="valid" time="0.16" steps="16"/></proof>
  </goal>
  <goal name="subst_base_symbol_in_fo_formula_list&#39;vc.9" expl="precondition" proved="true">
  <proof prover="0"><result status="valid" time="0.08" steps="16"/></proof>
  </goal>
  <goal name="subst_base_symbol_in_fo_formula_list&#39;vc.10" expl="precondition" proved="true">
  <proof prover="0"><result status="valid" time="0.09" steps="58"/></proof>
  </goal>
  <goal name="subst_base_symbol_in_fo_formula_list&#39;vc.11" expl="precondition" proved="true">
  <proof prover="0"><result status="valid" time="0.06" steps="20"/></proof>
  </goal>
  <goal name="subst_base_symbol_in_fo_formula_list&#39;vc.12" expl="precondition" proved="true">
  <proof prover="0"><result status="valid" time="0.17" steps="20"/></proof>
  </goal>
  <goal name="subst_base_symbol_in_fo_formula_list&#39;vc.13" expl="postcondition" proved="true">
  <proof prover="0"><result status="valid" time="0.15" steps="88"/></proof>
  </goal>
  <goal name="subst_base_symbol_in_fo_formula_list&#39;vc.14" expl="postcondition" proved="true">
  <proof prover="0"><result status="valid" time="0.15" steps="27"/></proof>
  </goal>
  <goal name="subst_base_symbol_in_fo_formula_list&#39;vc.15" expl="postcondition" proved="true">
  <proof prover="0"><result status="valid" time="0.17" steps="28"/></proof>
  </goal>
  <goal name="subst_base_symbol_in_fo_formula_list&#39;vc.16" expl="postcondition" proved="true">
  <proof prover="0"><result status="valid" time="0.06" steps="52"/></proof>
  </goal>
 </transf>
 </goal>
 <goal name="subst_base_fo_term_in_fo_formula_list&#39;vc" expl="VC for subst_base_fo_term_in_fo_formula_list" proved="true">
 <transf name="split_goal_right" proved="true" >
  <goal name="subst_base_fo_term_in_fo_formula_list&#39;vc.0" expl="assertion" proved="true">
  <proof prover="0"><result status="valid" time="0.16" steps="14"/></proof>
  </goal>
  <goal name="subst_base_fo_term_in_fo_formula_list&#39;vc.1" expl="assertion" proved="true">
  <proof prover="0"><result status="valid" time="0.15" steps="23"/></proof>
  </goal>
  <goal name="subst_base_fo_term_in_fo_formula_list&#39;vc.2" expl="assertion" proved="true">
  <proof prover="0"><result status="valid" time="0.06" steps="16"/></proof>
  </goal>
  <goal name="subst_base_fo_term_in_fo_formula_list&#39;vc.3" expl="assertion" proved="true">
  <proof prover="0"><result status="valid" time="0.05" steps="16"/></proof>
  </goal>
  <goal name="subst_base_fo_term_in_fo_formula_list&#39;vc.4" expl="assertion" proved="true">
  <proof prover="0"><result status="valid" time="0.16" steps="16"/></proof>
  </goal>
  <goal name="subst_base_fo_term_in_fo_formula_list&#39;vc.5" expl="assertion" proved="true">
  <proof prover="0"><result status="valid" time="0.15" steps="16"/></proof>
  </goal>
  <goal name="subst_base_fo_term_in_fo_formula_list&#39;vc.6" expl="variant decrease" proved="true">
  <proof prover="0"><result status="valid" time="0.16" steps="49"/></proof>
  </goal>
  <goal name="subst_base_fo_term_in_fo_formula_list&#39;vc.7" expl="precondition" proved="true">
  <proof prover="0"><result status="valid" time="0.17" steps="39"/></proof>
  </goal>
  <goal name="subst_base_fo_term_in_fo_formula_list&#39;vc.8" expl="precondition" proved="true">
  <proof prover="0"><result status="valid" time="0.16" steps="17"/></proof>
  </goal>
  <goal name="subst_base_fo_term_in_fo_formula_list&#39;vc.9" expl="precondition" proved="true">
  <proof prover="0"><result status="valid" time="0.05" steps="17"/></proof>
  </goal>
  <goal name="subst_base_fo_term_in_fo_formula_list&#39;vc.10" expl="precondition" proved="true">
  <proof prover="0"><result status="valid" time="0.16" steps="17"/></proof>
  </goal>
  <goal name="subst_base_fo_term_in_fo_formula_list&#39;vc.11" expl="precondition" proved="true">
  <proof prover="0"><result status="valid" time="0.16" steps="56"/></proof>
  </goal>
  <goal name="subst_base_fo_term_in_fo_formula_list&#39;vc.12" expl="precondition" proved="true">
  <proof prover="0"><result status="valid" time="0.17" steps="21"/></proof>
  </goal>
  <goal name="subst_base_fo_term_in_fo_formula_list&#39;vc.13" expl="precondition" proved="true">
  <proof prover="0"><result status="valid" time="0.05" steps="21"/></proof>
  </goal>
  <goal name="subst_base_fo_term_in_fo_formula_list&#39;vc.14" expl="precondition" proved="true">
  <proof prover="0"><result status="valid" time="0.06" steps="21"/></proof>
  </goal>
  <goal name="subst_base_fo_term_in_fo_formula_list&#39;vc.15" expl="postcondition" proved="true">
  <proof prover="0"><result status="valid" time="0.15" steps="86"/></proof>
  </goal>
  <goal name="subst_base_fo_term_in_fo_formula_list&#39;vc.16" expl="postcondition" proved="true">
  <proof prover="0"><result status="valid" time="0.17" steps="28"/></proof>
  </goal>
  <goal name="subst_base_fo_term_in_fo_formula_list&#39;vc.17" expl="postcondition" proved="true">
  <proof prover="0"><result status="valid" time="0.16" steps="29"/></proof>
  </goal>
  <goal name="subst_base_fo_term_in_fo_formula_list&#39;vc.18" expl="postcondition" proved="true">
  <proof prover="0"><result status="valid" time="0.17" steps="51"/></proof>
  </goal>
 </transf>
 </goal>
 <goal name="construct_fo_formula_list&#39;vc" expl="VC for construct_fo_formula_list" proved="true">
 <transf name="split_goal_right" proved="true" >
  <goal name="construct_fo_formula_list&#39;vc.0" expl="assertion" proved="true">
  <proof prover="0" timelimit="1"><result status="valid" time="0.12" steps="11"/></proof>
  </goal>
  <goal name="construct_fo_formula_list&#39;vc.1" expl="assertion" proved="true">
  <proof prover="0"><result status="valid" time="0.16" steps="11"/></proof>
  </goal>
  <goal name="construct_fo_formula_list&#39;vc.2" expl="assertion" proved="true">
  <proof prover="0"><result status="valid" time="0.06" steps="31"/></proof>
  </goal>
  <goal name="construct_fo_formula_list&#39;vc.3" expl="assertion" proved="true">
  <proof prover="0"><result status="valid" time="0.06" steps="44"/></proof>
  </goal>
  <goal name="construct_fo_formula_list&#39;vc.4" expl="postcondition" proved="true">
  <proof prover="0"><result status="valid" time="0.15" steps="31"/></proof>
  </goal>
  <goal name="construct_fo_formula_list&#39;vc.5" expl="postcondition" proved="true">
  <proof prover="0" timelimit="1"><result status="valid" time="0.11" steps="33"/></proof>
  </goal>
  <goal name="construct_fo_formula_list&#39;vc.6" expl="assertion" proved="true">
  <proof prover="0"><result status="valid" time="0.12" steps="124"/></proof>
  </goal>
  <goal name="construct_fo_formula_list&#39;vc.7" expl="assertion" proved="true">
  <proof prover="0" timelimit="1"><result status="valid" time="0.15" steps="124"/></proof>
  </goal>
  <goal name="construct_fo_formula_list&#39;vc.8" expl="assertion" proved="true">
  <proof prover="0"><result status="valid" time="0.13" steps="78"/></proof>
  </goal>
  <goal name="construct_fo_formula_list&#39;vc.9" expl="assertion" proved="true">
  <proof prover="0" timelimit="1"><result status="valid" time="0.06" steps="78"/></proof>
  </goal>
  <goal name="construct_fo_formula_list&#39;vc.10" expl="assertion" proved="true">
  <proof prover="0"><result status="valid" time="0.08" steps="213"/></proof>
  </goal>
  <goal name="construct_fo_formula_list&#39;vc.11" expl="assertion" proved="true">
  <proof prover="0" timelimit="1"><result status="valid" time="0.08" steps="213"/></proof>
  </goal>
  <goal name="construct_fo_formula_list&#39;vc.12" expl="assertion" proved="true">
  <proof prover="0"><result status="valid" time="0.16" steps="17"/></proof>
  </goal>
  <goal name="construct_fo_formula_list&#39;vc.13" expl="assertion" proved="true">
  <proof prover="0"><result status="valid" time="0.14" steps="8"/></proof>
  </goal>
  <goal name="construct_fo_formula_list&#39;vc.14" expl="assertion" proved="true">
  <proof prover="0" timelimit="1"><result status="valid" time="0.14" steps="18"/></proof>
  </goal>
  <goal name="construct_fo_formula_list&#39;vc.15" expl="assertion" proved="true">
  <proof prover="1"><result status="valid" time="0.26" steps="85212"/></proof>
  </goal>
  <goal name="construct_fo_formula_list&#39;vc.16" expl="precondition" proved="true">
  <proof prover="0"><result status="valid" time="0.14" steps="8"/></proof>
  </goal>
  <goal name="construct_fo_formula_list&#39;vc.17" expl="precondition" proved="true">
  <proof prover="0" timelimit="1"><result status="valid" time="0.11" steps="8"/></proof>
  </goal>
  <goal name="construct_fo_formula_list&#39;vc.18" expl="precondition" proved="true">
  <proof prover="0" timelimit="1"><result status="valid" time="0.13" steps="8"/></proof>
  </goal>
  <goal name="construct_fo_formula_list&#39;vc.19" expl="precondition" proved="true">
  <proof prover="0"><result status="valid" time="0.12" steps="8"/></proof>
  </goal>
  <goal name="construct_fo_formula_list&#39;vc.20" expl="precondition" proved="true">
  <proof prover="0" timelimit="1"><result status="valid" time="0.12" steps="19"/></proof>
  </goal>
  <goal name="construct_fo_formula_list&#39;vc.21" expl="assertion" proved="true">
  <proof prover="0" timelimit="1"><result status="valid" time="0.11" steps="18"/></proof>
  </goal>
  <goal name="construct_fo_formula_list&#39;vc.22" expl="assertion" proved="true">
  <proof prover="0"><result status="valid" time="0.08" steps="8"/></proof>
  </goal>
  <goal name="construct_fo_formula_list&#39;vc.23" expl="assertion" proved="true">
  <proof prover="0"><result status="valid" time="0.16" steps="18"/></proof>
  </goal>
  <goal name="construct_fo_formula_list&#39;vc.24" expl="assertion" proved="true">
  <proof prover="1"><result status="valid" time="0.13" steps="85212"/></proof>
  </goal>
  <goal name="construct_fo_formula_list&#39;vc.25" expl="precondition" proved="true">
  <proof prover="0" timelimit="1"><result status="valid" time="0.11" steps="8"/></proof>
  </goal>
  <goal name="construct_fo_formula_list&#39;vc.26" expl="precondition" proved="true">
  <proof prover="0"><result status="valid" time="0.16" steps="8"/></proof>
  </goal>
  <goal name="construct_fo_formula_list&#39;vc.27" expl="precondition" proved="true">
  <proof prover="0" timelimit="1"><result status="valid" time="0.11" steps="8"/></proof>
  </goal>
  <goal name="construct_fo_formula_list&#39;vc.28" expl="precondition" proved="true">
  <proof prover="0" timelimit="1"><result status="valid" time="0.12" steps="8"/></proof>
  </goal>
  <goal name="construct_fo_formula_list&#39;vc.29" expl="precondition" proved="true">
  <proof prover="0"><result status="valid" time="0.16" steps="19"/></proof>
  </goal>
  <goal name="construct_fo_formula_list&#39;vc.30" expl="postcondition" proved="true">
  <proof prover="0" timelimit="1"><result status="valid" time="0.22" steps="1040"/></proof>
  </goal>
  <goal name="construct_fo_formula_list&#39;vc.31" expl="postcondition" proved="true">
  <proof prover="0" timelimit="1"><result status="valid" time="0.12" steps="174"/></proof>
  </goal>
 </transf>
 </goal>
 <goal name="destruct_fo_formula_list&#39;vc" expl="VC for destruct_fo_formula_list" proved="true">
 <transf name="split_goal_right" proved="true" >
  <goal name="destruct_fo_formula_list&#39;vc.0" expl="assertion" proved="true">
  <proof prover="0"><result status="valid" time="0.15" steps="22"/></proof>
  </goal>
  <goal name="destruct_fo_formula_list&#39;vc.1" expl="unreachable point" proved="true">
  <proof prover="0" timelimit="1"><result status="valid" time="0.14" steps="24"/></proof>
  </goal>
  <goal name="destruct_fo_formula_list&#39;vc.2" expl="assertion" proved="true">
  <proof prover="0"><result status="valid" time="0.15" steps="19"/></proof>
  </goal>
  <goal name="destruct_fo_formula_list&#39;vc.3" expl="unreachable point" proved="true">
  <proof prover="0" timelimit="1"><result status="valid" time="0.12" steps="23"/></proof>
  </goal>
  <goal name="destruct_fo_formula_list&#39;vc.4" expl="assertion" proved="true">
  <proof prover="0" timelimit="1"><result status="valid" time="0.13" steps="21"/></proof>
  </goal>
  <goal name="destruct_fo_formula_list&#39;vc.5" expl="assertion" proved="true">
  <proof prover="0" timelimit="1"><result status="valid" time="0.14" steps="22"/></proof>
  </goal>
  <goal name="destruct_fo_formula_list&#39;vc.6" expl="assertion" proved="true">
  <proof prover="0"><result status="valid" time="0.10" steps="216"/></proof>
  </goal>
  <goal name="destruct_fo_formula_list&#39;vc.7" expl="assertion" proved="true">
  <proof prover="0" timelimit="1"><result status="valid" time="0.12" steps="26"/></proof>
  </goal>
  <goal name="destruct_fo_formula_list&#39;vc.8" expl="assertion" proved="true">
  <proof prover="0" timelimit="1"><result status="valid" time="0.08" steps="169"/></proof>
  </goal>
  <goal name="destruct_fo_formula_list&#39;vc.9" expl="assertion" proved="true">
  <proof prover="0"><result status="valid" time="0.16" steps="27"/></proof>
  </goal>
  <goal name="destruct_fo_formula_list&#39;vc.10" expl="assertion" proved="true">
  <proof prover="0"><result status="valid" time="0.16" steps="160"/></proof>
  </goal>
  <goal name="destruct_fo_formula_list&#39;vc.11" expl="assertion" proved="true">
  <proof prover="0" timelimit="1"><result status="valid" time="0.13" steps="29"/></proof>
  </goal>
  <goal name="destruct_fo_formula_list&#39;vc.12" expl="assertion" proved="true">
  <proof prover="0" timelimit="1"><result status="valid" time="0.13" steps="166"/></proof>
  </goal>
  <goal name="destruct_fo_formula_list&#39;vc.13" expl="assertion" proved="true">
  <proof prover="0"><result status="valid" time="0.05" steps="30"/></proof>
  </goal>
  <goal name="destruct_fo_formula_list&#39;vc.14" expl="precondition" proved="true">
  <proof prover="0"><result status="valid" time="0.17" steps="18"/></proof>
  </goal>
  <goal name="destruct_fo_formula_list&#39;vc.15" expl="precondition" proved="true">
  <proof prover="0" timelimit="1"><result status="valid" time="0.10" steps="31"/></proof>
  </goal>
  <goal name="destruct_fo_formula_list&#39;vc.16" expl="precondition" proved="true">
  <proof prover="0"><result status="valid" time="0.16" steps="19"/></proof>
  </goal>
  <goal name="destruct_fo_formula_list&#39;vc.17" expl="precondition" proved="true">
  <proof prover="0"><result status="valid" time="0.14" steps="32"/></proof>
  </goal>
  <goal name="destruct_fo_formula_list&#39;vc.18" expl="precondition" proved="true">
  <proof prover="0" timelimit="1"><result status="valid" time="0.14" steps="89"/></proof>
  </goal>
  <goal name="destruct_fo_formula_list&#39;vc.19" expl="precondition" proved="true">
  <proof prover="0" timelimit="1"><result status="valid" time="0.13" steps="19"/></proof>
  </goal>
  <goal name="destruct_fo_formula_list&#39;vc.20" expl="precondition" proved="true">
  <proof prover="0"><result status="valid" time="0.14" steps="30"/></proof>
  </goal>
  <goal name="destruct_fo_formula_list&#39;vc.21" expl="precondition" proved="true">
  <proof prover="0" timelimit="1"><result status="valid" time="0.12" steps="20"/></proof>
  </goal>
  <goal name="destruct_fo_formula_list&#39;vc.22" expl="precondition" proved="true">
  <proof prover="0" timelimit="1"><result status="valid" time="0.12" steps="31"/></proof>
  </goal>
  <goal name="destruct_fo_formula_list&#39;vc.23" expl="precondition" proved="true">
  <proof prover="0" timelimit="1"><result status="valid" time="0.12" steps="87"/></proof>
  </goal>
  <goal name="destruct_fo_formula_list&#39;vc.24" expl="precondition" proved="true">
  <proof prover="0" timelimit="1"><result status="valid" time="0.11" steps="30"/></proof>
  </goal>
  <goal name="destruct_fo_formula_list&#39;vc.25" expl="precondition" proved="true">
  <proof prover="0" timelimit="1"><result status="valid" time="0.10" steps="30"/></proof>
  </goal>
  <goal name="destruct_fo_formula_list&#39;vc.26" expl="precondition" proved="true">
  <proof prover="0"><result status="valid" time="0.16" steps="31"/></proof>
  </goal>
  <goal name="destruct_fo_formula_list&#39;vc.27" expl="precondition" proved="true">
  <proof prover="0"><result status="valid" time="0.17" steps="31"/></proof>
  </goal>
  <goal name="destruct_fo_formula_list&#39;vc.28" expl="assertion" proved="true">
  <proof prover="0"><result status="valid" time="0.13" steps="127"/></proof>
  </goal>
  <goal name="destruct_fo_formula_list&#39;vc.29" expl="assertion" proved="true">
  <proof prover="0" timelimit="1"><result status="valid" time="0.18" steps="127"/></proof>
  </goal>
  <goal name="destruct_fo_formula_list&#39;vc.30" expl="assertion" proved="true">
  <proof prover="0"><result status="valid" time="0.09" steps="127"/></proof>
  </goal>
  <goal name="destruct_fo_formula_list&#39;vc.31" expl="assertion" proved="true">
  <proof prover="0" timelimit="1"><result status="valid" time="0.09" steps="127"/></proof>
  </goal>
  <goal name="destruct_fo_formula_list&#39;vc.32" expl="postcondition" proved="true">
  <proof prover="0" timelimit="1"><result status="valid" time="0.26" steps="1235"/></proof>
  </goal>
  <goal name="destruct_fo_formula_list&#39;vc.33" expl="postcondition" proved="true">
  <proof prover="0" timelimit="1"><result status="valid" time="0.17" steps="226"/></proof>
  </goal>
  <goal name="destruct_fo_formula_list&#39;vc.34" expl="postcondition" proved="true">
  <proof prover="0" timelimit="1"><result status="valid" time="0.18" steps="341"/></proof>
  </goal>
 </transf>
 </goal>
 <goal name="nlsubst_symbol_in_fo_formula_list&#39;vc" expl="VC for nlsubst_symbol_in_fo_formula_list" proved="true">
 <transf name="split_goal_right" proved="true" >
  <goal name="nlsubst_symbol_in_fo_formula_list&#39;vc.0" expl="precondition" proved="true">
  <proof prover="0"><result status="valid" time="0.15" steps="13"/></proof>
  </goal>
  <goal name="nlsubst_symbol_in_fo_formula_list&#39;vc.1" expl="precondition" proved="true">
  <proof prover="0"><result status="valid" time="0.14" steps="25"/></proof>
  </goal>
  <goal name="nlsubst_symbol_in_fo_formula_list&#39;vc.2" expl="precondition" proved="true">
  <proof prover="0"><result status="valid" time="0.15" steps="14"/></proof>
  </goal>
  <goal name="nlsubst_symbol_in_fo_formula_list&#39;vc.3" expl="precondition" proved="true">
  <proof prover="0"><result status="valid" time="0.06" steps="26"/></proof>
  </goal>
  <goal name="nlsubst_symbol_in_fo_formula_list&#39;vc.4" expl="precondition" proved="true">
  <proof prover="0"><result status="valid" time="0.04" steps="13"/></proof>
  </goal>
  <goal name="nlsubst_symbol_in_fo_formula_list&#39;vc.5" expl="postcondition" proved="true">
  <proof prover="0"><result status="valid" time="0.14" steps="28"/></proof>
  </goal>
  <goal name="nlsubst_symbol_in_fo_formula_list&#39;vc.6" expl="precondition" proved="true">
  <proof prover="0"><result status="valid" time="0.16" steps="14"/></proof>
  </goal>
  <goal name="nlsubst_symbol_in_fo_formula_list&#39;vc.7" expl="precondition" proved="true">
  <proof prover="0"><result status="valid" time="0.05" steps="15"/></proof>
  </goal>
  <goal name="nlsubst_symbol_in_fo_formula_list&#39;vc.8" expl="precondition" proved="true">
  <proof prover="0"><result status="valid" time="0.15" steps="16"/></proof>
  </goal>
  <goal name="nlsubst_symbol_in_fo_formula_list&#39;vc.9" expl="assertion" proved="true">
  <transf name="split_goal_right" proved="true" >
   <goal name="nlsubst_symbol_in_fo_formula_list&#39;vc.9.0" expl="assertion" proved="true">
   <proof prover="0" timelimit="1"><result status="valid" time="0.14" steps="98"/></proof>
   </goal>
   <goal name="nlsubst_symbol_in_fo_formula_list&#39;vc.9.1" expl="assertion" proved="true">
   <proof prover="0"><result status="valid" time="0.23" steps="286"/></proof>
   </goal>
   <goal name="nlsubst_symbol_in_fo_formula_list&#39;vc.9.2" expl="assertion" proved="true">
   <proof prover="0"><result status="valid" time="0.06" steps="61"/></proof>
   </goal>
   <goal name="nlsubst_symbol_in_fo_formula_list&#39;vc.9.3" expl="assertion" proved="true">
   <proof prover="1"><result status="valid" time="0.42" steps="182108"/></proof>
   </goal>
   <goal name="nlsubst_symbol_in_fo_formula_list&#39;vc.9.4" expl="assertion" proved="true">
   <proof prover="1"><result status="valid" time="0.76" steps="197570"/></proof>
   </goal>
   <goal name="nlsubst_symbol_in_fo_formula_list&#39;vc.9.5" expl="assertion" proved="true">
   <proof prover="0" timelimit="1"><result status="valid" time="0.15" steps="125"/></proof>
   </goal>
  </transf>
  </goal>
  <goal name="nlsubst_symbol_in_fo_formula_list&#39;vc.10" expl="assertion" proved="true">
  <transf name="split_goal_right" proved="true" >
   <goal name="nlsubst_symbol_in_fo_formula_list&#39;vc.10.0" expl="assertion" proved="true">
   <proof prover="0"><result status="valid" time="0.08" steps="99"/></proof>
   </goal>
   <goal name="nlsubst_symbol_in_fo_formula_list&#39;vc.10.1" expl="assertion" proved="true">
   <proof prover="5"><result status="valid" time="0.34"/></proof>
   </goal>
   <goal name="nlsubst_symbol_in_fo_formula_list&#39;vc.10.2" expl="assertion" proved="true">
   <proof prover="0"><result status="valid" time="0.15" steps="93"/></proof>
   </goal>
  </transf>
  </goal>
  <goal name="nlsubst_symbol_in_fo_formula_list&#39;vc.11" expl="postcondition" proved="true">
  <transf name="split_goal_right" proved="true" >
   <goal name="nlsubst_symbol_in_fo_formula_list&#39;vc.11.0" expl="postcondition" proved="true">
   <proof prover="0"><result status="valid" time="0.18" steps="103"/></proof>
   </goal>
  </transf>
  </goal>
  <goal name="nlsubst_symbol_in_fo_formula_list&#39;vc.12" expl="postcondition" proved="true">
  <proof prover="1"><result status="valid" time="0.24" steps="196383"/></proof>
  </goal>
 </transf>
 </goal>
 <goal name="nlsubst_fo_term_in_fo_formula_list&#39;vc" expl="VC for nlsubst_fo_term_in_fo_formula_list" proved="true">
 <transf name="split_goal_right" proved="true" >
  <goal name="nlsubst_fo_term_in_fo_formula_list&#39;vc.0" expl="precondition" proved="true">
  <proof prover="0" timelimit="1"><result status="valid" time="0.10" steps="13"/></proof>
  </goal>
  <goal name="nlsubst_fo_term_in_fo_formula_list&#39;vc.1" expl="precondition" proved="true">
  <proof prover="0" timelimit="1"><result status="valid" time="0.12" steps="27"/></proof>
  </goal>
  <goal name="nlsubst_fo_term_in_fo_formula_list&#39;vc.2" expl="precondition" proved="true">
  <proof prover="0"><result status="valid" time="0.14" steps="14"/></proof>
  </goal>
  <goal name="nlsubst_fo_term_in_fo_formula_list&#39;vc.3" expl="precondition" proved="true">
  <proof prover="0" timelimit="1"><result status="valid" time="0.10" steps="28"/></proof>
  </goal>
  <goal name="nlsubst_fo_term_in_fo_formula_list&#39;vc.4" expl="precondition" proved="true">
  <proof prover="0"><result status="valid" time="0.14" steps="13"/></proof>
  </goal>
  <goal name="nlsubst_fo_term_in_fo_formula_list&#39;vc.5" expl="postcondition" proved="true">
  <transf name="split_goal_right" proved="true" >
   <goal name="nlsubst_fo_term_in_fo_formula_list&#39;vc.5.0" expl="VC for nlsubst_fo_term_in_fo_formula_list" proved="true">
   <proof prover="6"><result status="valid" time="0.35"/></proof>
   </goal>
   <goal name="nlsubst_fo_term_in_fo_formula_list&#39;vc.5.1" expl="VC for nlsubst_fo_term_in_fo_formula_list" proved="true">
   <proof prover="0"><result status="valid" time="0.06" steps="28"/></proof>
   </goal>
  </transf>
  </goal>
  <goal name="nlsubst_fo_term_in_fo_formula_list&#39;vc.6" expl="postcondition" proved="true">
  <proof prover="0" timelimit="1"><result status="valid" time="0.11" steps="32"/></proof>
  </goal>
  <goal name="nlsubst_fo_term_in_fo_formula_list&#39;vc.7" expl="precondition" proved="true">
  <proof prover="0" timelimit="1"><result status="valid" time="0.11" steps="16"/></proof>
  </goal>
  <goal name="nlsubst_fo_term_in_fo_formula_list&#39;vc.8" expl="precondition" proved="true">
  <proof prover="0" timelimit="1"><result status="valid" time="0.13" steps="17"/></proof>
  </goal>
  <goal name="nlsubst_fo_term_in_fo_formula_list&#39;vc.9" expl="precondition" proved="true">
  <proof prover="0" timelimit="1"><result status="valid" time="0.12" steps="18"/></proof>
  </goal>
  <goal name="nlsubst_fo_term_in_fo_formula_list&#39;vc.10" expl="precondition" proved="true">
  <proof prover="0" timelimit="1"><result status="valid" time="0.11" steps="19"/></proof>
  </goal>
  <goal name="nlsubst_fo_term_in_fo_formula_list&#39;vc.11" expl="assertion" proved="true">
  <transf name="split_goal_right" proved="true" >
   <goal name="nlsubst_fo_term_in_fo_formula_list&#39;vc.11.0" expl="assertion" proved="true">
   <proof prover="7"><result status="valid" time="0.38"/></proof>
   </goal>
   <goal name="nlsubst_fo_term_in_fo_formula_list&#39;vc.11.1" expl="assertion" proved="true">
   <proof prover="0"><result status="valid" time="0.17" steps="64"/></proof>
   </goal>
   <goal name="nlsubst_fo_term_in_fo_formula_list&#39;vc.11.2" expl="assertion" proved="true">
   <proof prover="0"><result status="valid" time="0.08" steps="98"/></proof>
   </goal>
   <goal name="nlsubst_fo_term_in_fo_formula_list&#39;vc.11.3" expl="assertion" proved="true">
   <proof prover="0" timelimit="1"><result status="valid" time="0.17" steps="100"/></proof>
   </goal>
   <goal name="nlsubst_fo_term_in_fo_formula_list&#39;vc.11.4" expl="assertion" proved="true">
   <proof prover="6"><result status="valid" time="0.41"/></proof>
   </goal>
   <goal name="nlsubst_fo_term_in_fo_formula_list&#39;vc.11.5" expl="assertion" proved="true">
   <proof prover="0"><result status="valid" time="0.12" steps="151"/></proof>
   </goal>
  </transf>
  </goal>
  <goal name="nlsubst_fo_term_in_fo_formula_list&#39;vc.12" expl="assertion" proved="true">
  <transf name="split_goal_right" proved="true" >
   <goal name="nlsubst_fo_term_in_fo_formula_list&#39;vc.12.0" expl="assertion" proved="true">
   <proof prover="0"><result status="valid" time="0.19" steps="97"/></proof>
   </goal>
   <goal name="nlsubst_fo_term_in_fo_formula_list&#39;vc.12.1" expl="assertion" proved="true">
   <proof prover="0"><result status="valid" time="0.17" steps="213"/></proof>
   </goal>
   <goal name="nlsubst_fo_term_in_fo_formula_list&#39;vc.12.2" expl="assertion" proved="true">
   <proof prover="5" timelimit="5"><result status="valid" time="0.44"/></proof>
   </goal>
   <goal name="nlsubst_fo_term_in_fo_formula_list&#39;vc.12.3" expl="assertion" proved="true">
   <proof prover="0"><result status="valid" time="0.16" steps="24"/></proof>
   </goal>
   <goal name="nlsubst_fo_term_in_fo_formula_list&#39;vc.12.4" expl="assertion" proved="true">
   <proof prover="0"><result status="valid" time="0.07" steps="92"/></proof>
   </goal>
  </transf>
  </goal>
  <goal name="nlsubst_fo_term_in_fo_formula_list&#39;vc.13" expl="postcondition" proved="true">
  <transf name="split_goal_right" proved="true" >
   <goal name="nlsubst_fo_term_in_fo_formula_list&#39;vc.13.0" expl="postcondition" proved="true">
   <proof prover="0"><result status="valid" time="0.13" steps="104"/></proof>
   </goal>
  </transf>
  </goal>
  <goal name="nlsubst_fo_term_in_fo_formula_list&#39;vc.14" expl="postcondition" proved="true">
  <proof prover="1"><result status="valid" time="0.35" steps="195806"/></proof>
  </goal>
 </transf>
 </goal>
</theory>
</file>
</why3session>
