<?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="1" steplimit="0" memlimit="1000"/>
<prover id="1" name="CVC3" version="2.4.1" timelimit="60" steplimit="0" memlimit="1000"/>
<prover id="2" name="CVC4" version="1.5" timelimit="1" steplimit="0" memlimit="1000"/>
<prover id="3" name="CVC4" version="1.6" timelimit="5" steplimit="0" memlimit="1000"/>
<prover id="10" name="CVC4" version="1.4" timelimit="5" steplimit="0" memlimit="1000"/>
<prover id="11" name="Eprover" version="1.8-001" timelimit="5" steplimit="0" memlimit="1000"/>
<file format="whyml" proved="true">
<path name=".."/><path name="Firstorder_formula_impl.mlw"/>
<theory name="Logic" proved="true">
 <goal name="nlsize_positive_lemma_fo_formula&#39;vc" expl="VC for nlsize_positive_lemma_fo_formula" proved="true">
 <transf name="split_goal_right" proved="true" >
  <goal name="nlsize_positive_lemma_fo_formula&#39;vc.0" expl="variant decrease" proved="true">
  <proof prover="0"><result status="valid" time="0.10" steps="14"/></proof>
  </goal>
  <goal name="nlsize_positive_lemma_fo_formula&#39;vc.1" expl="variant decrease" proved="true">
  <proof prover="0"><result status="valid" time="0.11" steps="14"/></proof>
  </goal>
  <goal name="nlsize_positive_lemma_fo_formula&#39;vc.2" expl="variant decrease" proved="true">
  <proof prover="0"><result status="valid" time="0.06" steps="39"/></proof>
  </goal>
  <goal name="nlsize_positive_lemma_fo_formula&#39;vc.3" expl="variant decrease" proved="true">
  <proof prover="0"><result status="valid" time="0.06" steps="43"/></proof>
  </goal>
  <goal name="nlsize_positive_lemma_fo_formula&#39;vc.4" expl="variant decrease" proved="true">
  <proof prover="0"><result status="valid" time="0.07" steps="39"/></proof>
  </goal>
  <goal name="nlsize_positive_lemma_fo_formula&#39;vc.5" expl="variant decrease" proved="true">
  <proof prover="0"><result status="valid" time="0.04" steps="43"/></proof>
  </goal>
  <goal name="nlsize_positive_lemma_fo_formula&#39;vc.6" expl="variant decrease" proved="true">
  <proof prover="0"><result status="valid" time="0.13" steps="14"/></proof>
  </goal>
  <goal name="nlsize_positive_lemma_fo_formula&#39;vc.7" expl="postcondition" proved="true">
  <proof prover="0"><result status="valid" time="0.10" steps="244"/></proof>
  </goal>
 </transf>
 </goal>
 <goal name="nlmodel_subst_commutation_lemma_fo_formula&#39;vc" expl="VC for nlmodel_subst_commutation_lemma_fo_formula" proved="true">
 <transf name="split_goal_right" proved="true" >
  <goal name="nlmodel_subst_commutation_lemma_fo_formula&#39;vc.0" expl="variant decrease" proved="true">
  <proof prover="0"><result status="valid" time="0.11" steps="16"/></proof>
  </goal>
  <goal name="nlmodel_subst_commutation_lemma_fo_formula&#39;vc.1" expl="assertion" proved="true">
  <proof prover="0"><result status="valid" time="0.12" steps="14"/></proof>
  </goal>
  <goal name="nlmodel_subst_commutation_lemma_fo_formula&#39;vc.2" 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&#39;vc.3" expl="assertion" proved="true">
  <proof prover="0"><result status="valid" time="0.09" steps="75"/></proof>
  </goal>
  <goal name="nlmodel_subst_commutation_lemma_fo_formula&#39;vc.4" expl="assertion" proved="true">
  <proof prover="0"><result status="valid" time="0.13" steps="17"/></proof>
  </goal>
  <goal name="nlmodel_subst_commutation_lemma_fo_formula&#39;vc.5" expl="variant decrease" proved="true">
  <proof prover="0"><result status="valid" time="0.11" steps="16"/></proof>
  </goal>
  <goal name="nlmodel_subst_commutation_lemma_fo_formula&#39;vc.6" expl="assertion" proved="true">
  <proof prover="0"><result status="valid" time="0.12" steps="14"/></proof>
  </goal>
  <goal name="nlmodel_subst_commutation_lemma_fo_formula&#39;vc.7" 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&#39;vc.8" expl="assertion" proved="true">
  <proof prover="0"><result status="valid" time="0.05" steps="75"/></proof>
  </goal>
  <goal name="nlmodel_subst_commutation_lemma_fo_formula&#39;vc.9" expl="assertion" proved="true">
  <proof prover="0"><result status="valid" time="0.12" steps="17"/></proof>
  </goal>
  <goal name="nlmodel_subst_commutation_lemma_fo_formula&#39;vc.10" expl="variant decrease" proved="true">
  <proof prover="0"><result status="valid" time="0.12" steps="63"/></proof>
  </goal>
  <goal name="nlmodel_subst_commutation_lemma_fo_formula&#39;vc.11" expl="assertion" proved="true">
  <proof prover="0"><result status="valid" time="0.13" steps="14"/></proof>
  </goal>
  <goal name="nlmodel_subst_commutation_lemma_fo_formula&#39;vc.12" 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&#39;vc.13" expl="assertion" proved="true">
  <proof prover="0"><result status="valid" time="0.11" steps="16"/></proof>
  </goal>
  <goal name="nlmodel_subst_commutation_lemma_fo_formula&#39;vc.14" expl="assertion" proved="true">
  <proof prover="0"><result status="valid" time="0.12" steps="17"/></proof>
  </goal>
  <goal name="nlmodel_subst_commutation_lemma_fo_formula&#39;vc.15" expl="variant decrease" proved="true">
  <proof prover="0"><result status="valid" time="0.14" steps="98"/></proof>
  </goal>
  <goal name="nlmodel_subst_commutation_lemma_fo_formula&#39;vc.16" expl="assertion" proved="true">
  <proof prover="0"><result status="valid" time="0.10" steps="14"/></proof>
  </goal>
  <goal name="nlmodel_subst_commutation_lemma_fo_formula&#39;vc.17" expl="assertion" proved="true">
  <proof prover="0"><result status="valid" time="0.12" steps="14"/></proof>
  </goal>
  <goal name="nlmodel_subst_commutation_lemma_fo_formula&#39;vc.18" expl="assertion" proved="true">
  <proof prover="0"><result status="valid" time="0.11" steps="14"/></proof>
  </goal>
  <goal name="nlmodel_subst_commutation_lemma_fo_formula&#39;vc.19" expl="assertion" proved="true">
  <proof prover="0"><result status="valid" time="0.11" steps="14"/></proof>
  </goal>
  <goal name="nlmodel_subst_commutation_lemma_fo_formula&#39;vc.20" expl="variant decrease" proved="true">
  <proof prover="0"><result status="valid" time="0.14" steps="63"/></proof>
  </goal>
  <goal name="nlmodel_subst_commutation_lemma_fo_formula&#39;vc.21" expl="assertion" proved="true">
  <proof prover="0"><result status="valid" time="0.12" steps="14"/></proof>
  </goal>
  <goal name="nlmodel_subst_commutation_lemma_fo_formula&#39;vc.22" expl="assertion" proved="true">
  <proof prover="0"><result status="valid" time="0.10" steps="15"/></proof>
  </goal>
  <goal name="nlmodel_subst_commutation_lemma_fo_formula&#39;vc.23" expl="assertion" proved="true">
  <proof prover="0"><result status="valid" time="0.12" steps="16"/></proof>
  </goal>
  <goal name="nlmodel_subst_commutation_lemma_fo_formula&#39;vc.24" expl="assertion" proved="true">
  <proof prover="0"><result status="valid" time="0.12" steps="17"/></proof>
  </goal>
  <goal name="nlmodel_subst_commutation_lemma_fo_formula&#39;vc.25" expl="variant decrease" proved="true">
  <proof prover="0"><result status="valid" time="0.12" steps="98"/></proof>
  </goal>
  <goal name="nlmodel_subst_commutation_lemma_fo_formula&#39;vc.26" expl="assertion" proved="true">
  <proof prover="0"><result status="valid" time="0.11" steps="14"/></proof>
  </goal>
  <goal name="nlmodel_subst_commutation_lemma_fo_formula&#39;vc.27" expl="assertion" proved="true">
  <proof prover="0"><result status="valid" time="0.11" steps="14"/></proof>
  </goal>
  <goal name="nlmodel_subst_commutation_lemma_fo_formula&#39;vc.28" expl="assertion" proved="true">
  <proof prover="0"><result status="valid" time="0.10" steps="14"/></proof>
  </goal>
  <goal name="nlmodel_subst_commutation_lemma_fo_formula&#39;vc.29" expl="assertion" proved="true">
  <proof prover="0"><result status="valid" time="0.14" steps="14"/></proof>
  </goal>
  <goal name="nlmodel_subst_commutation_lemma_fo_formula&#39;vc.30" expl="variant decrease" proved="true">
  <proof prover="0"><result status="valid" time="0.12" steps="16"/></proof>
  </goal>
  <goal name="nlmodel_subst_commutation_lemma_fo_formula&#39;vc.31" expl="assertion" proved="true">
  <proof prover="0"><result status="valid" time="0.13" steps="14"/></proof>
  </goal>
  <goal name="nlmodel_subst_commutation_lemma_fo_formula&#39;vc.32" 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&#39;vc.33" expl="assertion" proved="true">
  <proof prover="0"><result status="valid" time="0.12" steps="16"/></proof>
  </goal>
  <goal name="nlmodel_subst_commutation_lemma_fo_formula&#39;vc.34" expl="assertion" proved="true">
  <proof prover="0"><result status="valid" time="0.12" steps="17"/></proof>
  </goal>
  <goal name="nlmodel_subst_commutation_lemma_fo_formula&#39;vc.35" expl="assertion" proved="true">
  <proof prover="0"><result status="valid" time="0.12" steps="14"/></proof>
  </goal>
  <goal name="nlmodel_subst_commutation_lemma_fo_formula&#39;vc.36" expl="assertion" proved="true">
  <proof prover="0"><result status="valid" time="0.10" steps="15"/></proof>
  </goal>
  <goal name="nlmodel_subst_commutation_lemma_fo_formula&#39;vc.37" expl="assertion" proved="true">
  <proof prover="0"><result status="valid" time="0.12" steps="12"/></proof>
  </goal>
  <goal name="nlmodel_subst_commutation_lemma_fo_formula&#39;vc.38" expl="assertion" proved="true">
  <proof prover="0"><result status="valid" time="0.13" steps="12"/></proof>
  </goal>
  <goal name="nlmodel_subst_commutation_lemma_fo_formula&#39;vc.39" expl="assertion" proved="true">
  <proof prover="0"><result status="valid" time="0.14" steps="17"/></proof>
  </goal>
  <goal name="nlmodel_subst_commutation_lemma_fo_formula&#39;vc.40" expl="assertion" proved="true">
  <proof prover="0"><result status="valid" time="0.10" steps="18"/></proof>
  </goal>
  <goal name="nlmodel_subst_commutation_lemma_fo_formula&#39;vc.41" expl="postcondition" proved="true">
  <proof prover="0"><result status="valid" time="0.20" steps="704"/></proof>
  </goal>
 </transf>
 </goal>
 <goal name="nlmodel_rename_commutation_lemma_fo_formula&#39;vc" expl="VC for nlmodel_rename_commutation_lemma_fo_formula" proved="true">
 <proof prover="0"><result status="valid" time="0.14" steps="28"/></proof>
 </goal>
 <goal name="bound_depth_of_symbol_in_fo_formula_nonnegative&#39;vc" expl="VC for bound_depth_of_symbol_in_fo_formula_nonnegative" proved="true">
 <transf name="split_goal_right" proved="true" >
  <goal name="bound_depth_of_symbol_in_fo_formula_nonnegative&#39;vc.0" expl="variant decrease" proved="true">
  <proof prover="0"><result status="valid" time="0.14" steps="17"/></proof>
  </goal>
  <goal name="bound_depth_of_symbol_in_fo_formula_nonnegative&#39;vc.1" expl="precondition" proved="true">
  <proof prover="0"><result status="valid" time="0.12" steps="10"/></proof>
  </goal>
  <goal name="bound_depth_of_symbol_in_fo_formula_nonnegative&#39;vc.2" expl="variant decrease" proved="true">
  <proof prover="0"><result status="valid" time="0.12" steps="17"/></proof>
  </goal>
  <goal name="bound_depth_of_symbol_in_fo_formula_nonnegative&#39;vc.3" expl="precondition" proved="true">
  <proof prover="0"><result status="valid" time="0.12" steps="10"/></proof>
  </goal>
  <goal name="bound_depth_of_symbol_in_fo_formula_nonnegative&#39;vc.4" expl="variant decrease" proved="true">
  <proof prover="0"><result status="valid" time="0.12" steps="73"/></proof>
  </goal>
  <goal name="bound_depth_of_symbol_in_fo_formula_nonnegative&#39;vc.5" expl="precondition" proved="true">
  <proof prover="0"><result status="valid" time="0.13" steps="29"/></proof>
  </goal>
  <goal name="bound_depth_of_symbol_in_fo_formula_nonnegative&#39;vc.6" expl="variant decrease" proved="true">
  <proof prover="0"><result status="valid" time="0.12" steps="77"/></proof>
  </goal>
  <goal name="bound_depth_of_symbol_in_fo_formula_nonnegative&#39;vc.7" expl="precondition" proved="true">
  <proof prover="0"><result status="valid" time="0.14" steps="33"/></proof>
  </goal>
  <goal name="bound_depth_of_symbol_in_fo_formula_nonnegative&#39;vc.8" expl="variant decrease" proved="true">
  <proof prover="0"><result status="valid" time="0.15" steps="73"/></proof>
  </goal>
  <goal name="bound_depth_of_symbol_in_fo_formula_nonnegative&#39;vc.9" expl="precondition" proved="true">
  <proof prover="0"><result status="valid" time="0.15" steps="29"/></proof>
  </goal>
  <goal name="bound_depth_of_symbol_in_fo_formula_nonnegative&#39;vc.10" expl="variant decrease" proved="true">
  <proof prover="0"><result status="valid" time="0.12" steps="77"/></proof>
  </goal>
  <goal name="bound_depth_of_symbol_in_fo_formula_nonnegative&#39;vc.11" expl="precondition" proved="true">
  <proof prover="0"><result status="valid" time="0.13" steps="33"/></proof>
  </goal>
  <goal name="bound_depth_of_symbol_in_fo_formula_nonnegative&#39;vc.12" expl="variant decrease" proved="true">
  <proof prover="0"><result status="valid" time="0.13" steps="17"/></proof>
  </goal>
  <goal name="bound_depth_of_symbol_in_fo_formula_nonnegative&#39;vc.13" expl="precondition" proved="true">
  <proof prover="0"><result status="valid" time="0.13" steps="10"/></proof>
  </goal>
  <goal name="bound_depth_of_symbol_in_fo_formula_nonnegative&#39;vc.14" expl="precondition" proved="true">
  <proof prover="0"><result status="valid" time="0.05" steps="30"/></proof>
  </goal>
  <goal name="bound_depth_of_symbol_in_fo_formula_nonnegative&#39;vc.15" expl="precondition" proved="true">
  <proof prover="0"><result status="valid" time="0.15" steps="23"/></proof>
  </goal>
  <goal name="bound_depth_of_symbol_in_fo_formula_nonnegative&#39;vc.16" expl="postcondition" proved="true">
  <proof prover="0"><result status="valid" time="0.11" steps="694"/></proof>
  </goal>
 </transf>
 </goal>
 <goal name="bound_depth_of_fo_term_in_fo_formula_nonnegative&#39;vc" expl="VC for bound_depth_of_fo_term_in_fo_formula_nonnegative" proved="true">
 <transf name="split_goal_right" proved="true" >
  <goal name="bound_depth_of_fo_term_in_fo_formula_nonnegative&#39;vc.0" expl="variant decrease" proved="true">
  <proof prover="0"><result status="valid" time="0.13" steps="17"/></proof>
  </goal>
  <goal name="bound_depth_of_fo_term_in_fo_formula_nonnegative&#39;vc.1" expl="precondition" proved="true">
  <proof prover="0"><result status="valid" time="0.12" steps="10"/></proof>
  </goal>
  <goal name="bound_depth_of_fo_term_in_fo_formula_nonnegative&#39;vc.2" expl="variant decrease" proved="true">
  <proof prover="0"><result status="valid" time="0.11" steps="17"/></proof>
  </goal>
  <goal name="bound_depth_of_fo_term_in_fo_formula_nonnegative&#39;vc.3" expl="precondition" proved="true">
  <proof prover="0"><result status="valid" time="0.12" steps="10"/></proof>
  </goal>
  <goal name="bound_depth_of_fo_term_in_fo_formula_nonnegative&#39;vc.4" expl="variant decrease" proved="true">
  <proof prover="0"><result status="valid" time="0.14" steps="73"/></proof>
  </goal>
  <goal name="bound_depth_of_fo_term_in_fo_formula_nonnegative&#39;vc.5" expl="precondition" proved="true">
  <proof prover="0"><result status="valid" time="0.15" steps="29"/></proof>
  </goal>
  <goal name="bound_depth_of_fo_term_in_fo_formula_nonnegative&#39;vc.6" expl="variant decrease" proved="true">
  <proof prover="0"><result status="valid" time="0.14" steps="75"/></proof>
  </goal>
  <goal name="bound_depth_of_fo_term_in_fo_formula_nonnegative&#39;vc.7" expl="precondition" proved="true">
  <proof prover="0"><result status="valid" time="0.04" steps="31"/></proof>
  </goal>
  <goal name="bound_depth_of_fo_term_in_fo_formula_nonnegative&#39;vc.8" expl="variant decrease" proved="true">
  <proof prover="0"><result status="valid" time="0.14" steps="73"/></proof>
  </goal>
  <goal name="bound_depth_of_fo_term_in_fo_formula_nonnegative&#39;vc.9" expl="precondition" proved="true">
  <proof prover="0"><result status="valid" time="0.04" steps="29"/></proof>
  </goal>
  <goal name="bound_depth_of_fo_term_in_fo_formula_nonnegative&#39;vc.10" expl="variant decrease" proved="true">
  <proof prover="0"><result status="valid" time="0.14" steps="75"/></proof>
  </goal>
  <goal name="bound_depth_of_fo_term_in_fo_formula_nonnegative&#39;vc.11" expl="precondition" proved="true">
  <proof prover="0"><result status="valid" time="0.05" steps="31"/></proof>
  </goal>
  <goal name="bound_depth_of_fo_term_in_fo_formula_nonnegative&#39;vc.12" expl="variant decrease" proved="true">
  <proof prover="0"><result status="valid" time="0.14" steps="17"/></proof>
  </goal>
  <goal name="bound_depth_of_fo_term_in_fo_formula_nonnegative&#39;vc.13" expl="precondition" proved="true">
  <proof prover="0"><result status="valid" time="0.13" steps="10"/></proof>
  </goal>
  <goal name="bound_depth_of_fo_term_in_fo_formula_nonnegative&#39;vc.14" expl="precondition" proved="true">
  <proof prover="0"><result status="valid" time="0.14" steps="21"/></proof>
  </goal>
  <goal name="bound_depth_of_fo_term_in_fo_formula_nonnegative&#39;vc.15" expl="postcondition" proved="true">
  <proof prover="0"><result status="valid" time="0.13" steps="508"/></proof>
  </goal>
 </transf>
 </goal>
 <goal name="model_equal_fo_formula&#39;vc" expl="VC for model_equal_fo_formula" proved="true">
 <transf name="split_goal_right" proved="true" >
  <goal name="model_equal_fo_formula&#39;vc.0" expl="variant decrease" proved="true">
  <proof prover="0"><result status="valid" time="0.12" steps="19"/></proof>
  </goal>
  <goal name="model_equal_fo_formula&#39;vc.1" expl="precondition" proved="true">
  <proof prover="0"><result status="valid" time="0.15" steps="50"/></proof>
  </goal>
  <goal name="model_equal_fo_formula&#39;vc.2" expl="precondition" proved="true">
  <proof prover="0"><result status="valid" time="0.12" steps="11"/></proof>
  </goal>
  <goal name="model_equal_fo_formula&#39;vc.3" expl="precondition" proved="true">
  <proof prover="0"><result status="valid" time="0.06" steps="144"/></proof>
  </goal>
  <goal name="model_equal_fo_formula&#39;vc.4" expl="precondition" proved="true">
  <proof prover="0"><result status="valid" time="0.14" steps="12"/></proof>
  </goal>
  <goal name="model_equal_fo_formula&#39;vc.5" expl="precondition" proved="true">
  <proof prover="0"><result status="valid" time="0.14" steps="14"/></proof>
  </goal>
  <goal name="model_equal_fo_formula&#39;vc.6" expl="variant decrease" proved="true">
  <proof prover="0"><result status="valid" time="0.14" steps="19"/></proof>
  </goal>
  <goal name="model_equal_fo_formula&#39;vc.7" expl="precondition" proved="true">
  <proof prover="0"><result status="valid" time="0.04" steps="50"/></proof>
  </goal>
  <goal name="model_equal_fo_formula&#39;vc.8" expl="precondition" proved="true">
  <proof prover="0"><result status="valid" time="0.12" steps="11"/></proof>
  </goal>
  <goal name="model_equal_fo_formula&#39;vc.9" expl="precondition" proved="true">
  <proof prover="0"><result status="valid" time="0.06" steps="144"/></proof>
  </goal>
  <goal name="model_equal_fo_formula&#39;vc.10" expl="precondition" proved="true">
  <proof prover="0"><result status="valid" time="0.13" steps="12"/></proof>
  </goal>
  <goal name="model_equal_fo_formula&#39;vc.11" expl="precondition" proved="true">
  <proof prover="0"><result status="valid" time="0.14" steps="14"/></proof>
  </goal>
  <goal name="model_equal_fo_formula&#39;vc.12" expl="variant decrease" proved="true">
  <proof prover="0"><result status="valid" time="0.11" steps="77"/></proof>
  </goal>
  <goal name="model_equal_fo_formula&#39;vc.13" expl="precondition" proved="true">
  <proof prover="0"><result status="valid" time="0.30" steps="1033"/></proof>
  </goal>
  <goal name="model_equal_fo_formula&#39;vc.14" expl="precondition" proved="true">
  <proof prover="0"><result status="valid" time="0.14" steps="11"/></proof>
  </goal>
  <goal name="model_equal_fo_formula&#39;vc.15" expl="precondition" proved="true">
  <proof prover="0"><result status="valid" time="0.24" steps="762"/></proof>
  </goal>
  <goal name="model_equal_fo_formula&#39;vc.16" expl="precondition" proved="true">
  <proof prover="0"><result status="valid" time="0.12" steps="12"/></proof>
  </goal>
  <goal name="model_equal_fo_formula&#39;vc.17" expl="precondition" proved="true">
  <proof prover="0"><result status="valid" time="0.07" steps="39"/></proof>
  </goal>
  <goal name="model_equal_fo_formula&#39;vc.18" expl="variant decrease" proved="true">
  <proof prover="0"><result status="valid" time="0.14" steps="92"/></proof>
  </goal>
  <goal name="model_equal_fo_formula&#39;vc.19" expl="precondition" proved="true">
  <proof prover="0"><result status="valid" time="0.22" steps="941"/></proof>
  </goal>
  <goal name="model_equal_fo_formula&#39;vc.20" expl="precondition" proved="true">
  <proof prover="0"><result status="valid" time="0.12" steps="12"/></proof>
  </goal>
  <goal name="model_equal_fo_formula&#39;vc.21" expl="precondition" proved="true">
  <proof prover="0"><result status="valid" time="0.09" steps="734"/></proof>
  </goal>
  <goal name="model_equal_fo_formula&#39;vc.22" expl="precondition" proved="true">
  <proof prover="0"><result status="valid" time="0.12" steps="13"/></proof>
  </goal>
  <goal name="model_equal_fo_formula&#39;vc.23" expl="precondition" proved="true">
  <proof prover="0"><result status="valid" time="0.06" steps="48"/></proof>
  </goal>
  <goal name="model_equal_fo_formula&#39;vc.24" expl="variant decrease" proved="true">
  <proof prover="0"><result status="valid" time="0.14" steps="77"/></proof>
  </goal>
  <goal name="model_equal_fo_formula&#39;vc.25" expl="precondition" proved="true">
  <proof prover="3"><result status="valid" time="1.10" steps="263377"/></proof>
  </goal>
  <goal name="model_equal_fo_formula&#39;vc.26" expl="precondition" proved="true">
  <proof prover="0"><result status="valid" time="0.14" steps="11"/></proof>
  </goal>
  <goal name="model_equal_fo_formula&#39;vc.27" expl="precondition" proved="true">
  <proof prover="0"><result status="valid" time="0.71" steps="2045"/></proof>
  </goal>
  <goal name="model_equal_fo_formula&#39;vc.28" expl="precondition" proved="true">
  <proof prover="0"><result status="valid" time="0.13" steps="12"/></proof>
  </goal>
  <goal name="model_equal_fo_formula&#39;vc.29" expl="precondition" proved="true">
  <proof prover="0"><result status="valid" time="0.06" steps="39"/></proof>
  </goal>
  <goal name="model_equal_fo_formula&#39;vc.30" expl="variant decrease" proved="true">
  <proof prover="0"><result status="valid" time="0.15" steps="92"/></proof>
  </goal>
  <goal name="model_equal_fo_formula&#39;vc.31" expl="precondition" proved="true">
  <proof prover="0"><result status="valid" time="0.82" steps="2544"/></proof>
  </goal>
  <goal name="model_equal_fo_formula&#39;vc.32" expl="precondition" proved="true">
  <proof prover="0"><result status="valid" time="0.12" steps="12"/></proof>
  </goal>
  <goal name="model_equal_fo_formula&#39;vc.33" expl="precondition" proved="true">
  <proof prover="0"><result status="valid" time="0.54" steps="1981"/></proof>
  </goal>
  <goal name="model_equal_fo_formula&#39;vc.34" expl="precondition" proved="true">
  <proof prover="0"><result status="valid" time="0.12" steps="13"/></proof>
  </goal>
  <goal name="model_equal_fo_formula&#39;vc.35" expl="precondition" proved="true">
  <proof prover="0"><result status="valid" time="0.08" steps="48"/></proof>
  </goal>
  <goal name="model_equal_fo_formula&#39;vc.36" expl="variant decrease" proved="true">
  <proof prover="0"><result status="valid" time="0.04" steps="19"/></proof>
  </goal>
  <goal name="model_equal_fo_formula&#39;vc.37" expl="precondition" proved="true">
  <proof prover="0"><result status="valid" time="0.15" steps="50"/></proof>
  </goal>
  <goal name="model_equal_fo_formula&#39;vc.38" expl="precondition" proved="true">
  <proof prover="0"><result status="valid" time="0.12" steps="11"/></proof>
  </goal>
  <goal name="model_equal_fo_formula&#39;vc.39" expl="precondition" proved="true">
  <proof prover="0"><result status="valid" time="0.09" steps="50"/></proof>
  </goal>
  <goal name="model_equal_fo_formula&#39;vc.40" expl="precondition" proved="true">
  <proof prover="0"><result status="valid" time="0.12" steps="12"/></proof>
  </goal>
  <goal name="model_equal_fo_formula&#39;vc.41" expl="precondition" proved="true">
  <proof prover="0"><result status="valid" time="0.14" steps="14"/></proof>
  </goal>
  <goal name="model_equal_fo_formula&#39;vc.42" expl="precondition" proved="true">
  <proof prover="0"><result status="valid" time="0.27" steps="775"/></proof>
  </goal>
  <goal name="model_equal_fo_formula&#39;vc.43" expl="precondition" proved="true">
  <proof prover="0"><result status="valid" time="0.12" steps="11"/></proof>
  </goal>
  <goal name="model_equal_fo_formula&#39;vc.44" expl="precondition" proved="true">
  <proof prover="0"><result status="valid" time="0.07" steps="36"/></proof>
  </goal>
  <goal name="model_equal_fo_formula&#39;vc.45" expl="precondition" proved="true">
  <proof prover="0"><result status="valid" time="0.66" steps="2700"/></proof>
  </goal>
  <goal name="model_equal_fo_formula&#39;vc.46" expl="precondition" proved="true">
  <proof prover="0"><result status="valid" time="0.11" steps="12"/></proof>
  </goal>
  <goal name="model_equal_fo_formula&#39;vc.47" expl="precondition" proved="true">
  <proof prover="0"><result status="valid" time="0.08" steps="60"/></proof>
  </goal>
  <goal name="model_equal_fo_formula&#39;vc.48" expl="precondition" proved="true">
  <proof prover="0"><result status="valid" time="0.12" steps="13"/></proof>
  </goal>
  <goal name="model_equal_fo_formula&#39;vc.49" expl="precondition" proved="true">
  <proof prover="0"><result status="valid" time="0.15" steps="38"/></proof>
  </goal>
  <goal name="model_equal_fo_formula&#39;vc.50" expl="postcondition" proved="true">
  <proof prover="0"><result status="valid" time="0.12" steps="281"/></proof>
  </goal>
 </transf>
 </goal>
</theory>
<theory name="Impl" proved="true">
 <goal name="bind_var_symbol_in_fo_formula&#39;vc" expl="VC for bind_var_symbol_in_fo_formula" proved="true">
 <transf name="split_goal_right" proved="true" >
  <goal name="bind_var_symbol_in_fo_formula&#39;vc.0" expl="assertion" proved="true">
  <proof prover="0"><result status="valid" time="0.07" steps="11"/></proof>
  </goal>
  <goal name="bind_var_symbol_in_fo_formula&#39;vc.1" expl="assertion" proved="true">
  <proof prover="0"><result status="valid" time="0.14" steps="21"/></proof>
  </goal>
  <goal name="bind_var_symbol_in_fo_formula&#39;vc.2" expl="assertion" proved="true">
  <proof prover="0"><result status="valid" time="0.15" steps="13"/></proof>
  </goal>
  <goal name="bind_var_symbol_in_fo_formula&#39;vc.3" expl="variant decrease" proved="true">
  <proof prover="0"><result status="valid" time="0.15" steps="21"/></proof>
  </goal>
  <goal name="bind_var_symbol_in_fo_formula&#39;vc.4" expl="precondition" proved="true">
  <proof prover="0"><result status="valid" time="0.04" steps="14"/></proof>
  </goal>
  <goal name="bind_var_symbol_in_fo_formula&#39;vc.5" expl="precondition" proved="true">
  <proof prover="0"><result status="valid" time="0.17" steps="15"/></proof>
  </goal>
  <goal name="bind_var_symbol_in_fo_formula&#39;vc.6" expl="assertion" proved="true">
  <proof prover="0"><result status="valid" time="0.09" steps="11"/></proof>
  </goal>
  <goal name="bind_var_symbol_in_fo_formula&#39;vc.7" expl="assertion" proved="true">
  <proof prover="0"><result status="valid" time="0.07" steps="21"/></proof>
  </goal>
  <goal name="bind_var_symbol_in_fo_formula&#39;vc.8" expl="assertion" proved="true">
  <proof prover="0"><result status="valid" time="0.14" steps="13"/></proof>
  </goal>
  <goal name="bind_var_symbol_in_fo_formula&#39;vc.9" expl="variant decrease" proved="true">
  <proof prover="0"><result status="valid" time="0.13" steps="21"/></proof>
  </goal>
  <goal name="bind_var_symbol_in_fo_formula&#39;vc.10" expl="precondition" proved="true">
  <proof prover="0"><result status="valid" time="0.13" steps="14"/></proof>
  </goal>
  <goal name="bind_var_symbol_in_fo_formula&#39;vc.11" expl="precondition" proved="true">
  <proof prover="0"><result status="valid" time="0.14" steps="15"/></proof>
  </goal>
  <goal name="bind_var_symbol_in_fo_formula&#39;vc.12" expl="assertion" proved="true">
  <proof prover="0"><result status="valid" time="0.06" steps="11"/></proof>
  </goal>
  <goal name="bind_var_symbol_in_fo_formula&#39;vc.13" expl="assertion" proved="true">
  <proof prover="0"><result status="valid" time="0.12" steps="21"/></proof>
  </goal>
  <goal name="bind_var_symbol_in_fo_formula&#39;vc.14" expl="assertion" proved="true">
  <proof prover="0"><result status="valid" time="0.04" steps="13"/></proof>
  </goal>
  <goal name="bind_var_symbol_in_fo_formula&#39;vc.15" expl="assertion" proved="true">
  <proof prover="0"><result status="valid" time="0.05" steps="13"/></proof>
  </goal>
  <goal name="bind_var_symbol_in_fo_formula&#39;vc.16" expl="assertion" proved="true">
  <proof prover="0"><result status="valid" time="0.04" steps="13"/></proof>
  </goal>
  <goal name="bind_var_symbol_in_fo_formula&#39;vc.17" expl="assertion" proved="true">
  <proof prover="0"><result status="valid" time="0.11" steps="13"/></proof>
  </goal>
  <goal name="bind_var_symbol_in_fo_formula&#39;vc.18" expl="variant decrease" proved="true">
  <proof prover="0"><result status="valid" time="0.16" steps="95"/></proof>
  </goal>
  <goal name="bind_var_symbol_in_fo_formula&#39;vc.19" expl="precondition" proved="true">
  <proof prover="0"><result status="valid" time="0.05" steps="49"/></proof>
  </goal>
  <goal name="bind_var_symbol_in_fo_formula&#39;vc.20" expl="precondition" proved="true">
  <proof prover="0"><result status="valid" time="0.17" steps="221"/></proof>
  </goal>
  <goal name="bind_var_symbol_in_fo_formula&#39;vc.21" expl="variant decrease" proved="true">
  <proof prover="0"><result status="valid" time="0.13" steps="116"/></proof>
  </goal>
  <goal name="bind_var_symbol_in_fo_formula&#39;vc.22" expl="precondition" proved="true">
  <proof prover="0"><result status="valid" time="0.15" steps="65"/></proof>
  </goal>
  <goal name="bind_var_symbol_in_fo_formula&#39;vc.23" expl="precondition" proved="true">
  <proof prover="0"><result status="valid" time="0.13" steps="291"/></proof>
  </goal>
  <goal name="bind_var_symbol_in_fo_formula&#39;vc.24" expl="assertion" proved="true">
  <proof prover="0"><result status="valid" time="0.14" steps="11"/></proof>
  </goal>
  <goal name="bind_var_symbol_in_fo_formula&#39;vc.25" expl="assertion" proved="true">
  <proof prover="0"><result status="valid" time="0.10" steps="21"/></proof>
  </goal>
  <goal name="bind_var_symbol_in_fo_formula&#39;vc.26" expl="assertion" proved="true">
  <proof prover="0"><result status="valid" time="0.14" steps="13"/></proof>
  </goal>
  <goal name="bind_var_symbol_in_fo_formula&#39;vc.27" expl="assertion" proved="true">
  <proof prover="0"><result status="valid" time="0.12" steps="13"/></proof>
  </goal>
  <goal name="bind_var_symbol_in_fo_formula&#39;vc.28" expl="assertion" proved="true">
  <proof prover="0"><result status="valid" time="0.14" steps="13"/></proof>
  </goal>
  <goal name="bind_var_symbol_in_fo_formula&#39;vc.29" expl="assertion" proved="true">
  <proof prover="0"><result status="valid" time="0.04" steps="13"/></proof>
  </goal>
  <goal name="bind_var_symbol_in_fo_formula&#39;vc.30" expl="variant decrease" proved="true">
  <proof prover="0"><result status="valid" time="0.13" steps="95"/></proof>
  </goal>
  <goal name="bind_var_symbol_in_fo_formula&#39;vc.31" expl="precondition" proved="true">
  <proof prover="0"><result status="valid" time="0.08" steps="49"/></proof>
  </goal>
  <goal name="bind_var_symbol_in_fo_formula&#39;vc.32" expl="precondition" proved="true">
  <proof prover="0"><result status="valid" time="0.16" steps="221"/></proof>
  </goal>
  <goal name="bind_var_symbol_in_fo_formula&#39;vc.33" expl="variant decrease" proved="true">
  <proof prover="0"><result status="valid" time="0.14" steps="116"/></proof>
  </goal>
  <goal name="bind_var_symbol_in_fo_formula&#39;vc.34" expl="precondition" proved="true">
  <proof prover="0"><result status="valid" time="0.14" steps="65"/></proof>
  </goal>
  <goal name="bind_var_symbol_in_fo_formula&#39;vc.35" expl="precondition" proved="true">
  <proof prover="0"><result status="valid" time="0.14" steps="291"/></proof>
  </goal>
  <goal name="bind_var_symbol_in_fo_formula&#39;vc.36" expl="assertion" proved="true">
  <proof prover="0"><result status="valid" time="0.08" steps="11"/></proof>
  </goal>
  <goal name="bind_var_symbol_in_fo_formula&#39;vc.37" expl="assertion" proved="true">
  <proof prover="0"><result status="valid" time="0.08" steps="21"/></proof>
  </goal>
  <goal name="bind_var_symbol_in_fo_formula&#39;vc.38" expl="assertion" proved="true">
  <proof prover="0"><result status="valid" time="0.09" steps="13"/></proof>
  </goal>
  <goal name="bind_var_symbol_in_fo_formula&#39;vc.39" expl="variant decrease" proved="true">
  <proof prover="0"><result status="valid" time="0.04" steps="21"/></proof>
  </goal>
  <goal name="bind_var_symbol_in_fo_formula&#39;vc.40" expl="precondition" proved="true">
  <proof prover="0"><result status="valid" time="0.14" steps="14"/></proof>
  </goal>
  <goal name="bind_var_symbol_in_fo_formula&#39;vc.41" expl="precondition" proved="true">
  <proof prover="0"><result status="valid" time="0.13" steps="15"/></proof>
  </goal>
  <goal name="bind_var_symbol_in_fo_formula&#39;vc.42" expl="assertion" proved="true">
  <proof prover="0"><result status="valid" time="0.14" steps="11"/></proof>
  </goal>
  <goal name="bind_var_symbol_in_fo_formula&#39;vc.43" expl="assertion" proved="true">
  <proof prover="0"><result status="valid" time="0.14" steps="21"/></proof>
  </goal>
  <goal name="bind_var_symbol_in_fo_formula&#39;vc.44" expl="assertion" proved="true">
  <proof prover="0"><result status="valid" time="0.14" steps="13"/></proof>
  </goal>
  <goal name="bind_var_symbol_in_fo_formula&#39;vc.45" expl="assertion" proved="true">
  <proof prover="0"><result status="valid" time="0.14" steps="13"/></proof>
  </goal>
  <goal name="bind_var_symbol_in_fo_formula&#39;vc.46" expl="assertion" proved="true">
  <proof prover="0"><result status="valid" time="0.15" steps="13"/></proof>
  </goal>
  <goal name="bind_var_symbol_in_fo_formula&#39;vc.47" expl="assertion" proved="true">
  <proof prover="0"><result status="valid" time="0.14" steps="13"/></proof>
  </goal>
  <goal name="bind_var_symbol_in_fo_formula&#39;vc.48" expl="precondition" proved="true">
  <proof prover="0"><result status="valid" time="0.06" steps="41"/></proof>
  </goal>
  <goal name="bind_var_symbol_in_fo_formula&#39;vc.49" expl="precondition" proved="true">
  <proof prover="0" timelimit="5"><result status="valid" time="0.13" steps="120"/></proof>
  </goal>
  <goal name="bind_var_symbol_in_fo_formula&#39;vc.50" expl="precondition" proved="true">
  <proof prover="0" timelimit="5"><result status="valid" time="0.08" steps="59"/></proof>
  </goal>
  <goal name="bind_var_symbol_in_fo_formula&#39;vc.51" expl="precondition" proved="true">
  <proof prover="0" timelimit="5"><result status="valid" time="0.16" steps="141"/></proof>
  </goal>
  <goal name="bind_var_symbol_in_fo_formula&#39;vc.52" expl="postcondition" proved="true">
  <proof prover="0"><result status="valid" time="0.24" steps="1898"/></proof>
  </goal>
  <goal name="bind_var_symbol_in_fo_formula&#39;vc.53" expl="postcondition" proved="true">
  <proof prover="0"><result status="valid" time="0.14" steps="921"/></proof>
  </goal>
  <goal name="bind_var_symbol_in_fo_formula&#39;vc.54" expl="postcondition" proved="true">
  <proof prover="0"><result status="valid" time="0.12" steps="471"/></proof>
  </goal>
  <goal name="bind_var_symbol_in_fo_formula&#39;vc.55" expl="postcondition" proved="true">
  <proof prover="0"><result status="valid" time="0.17" steps="524"/></proof>
  </goal>
 </transf>
 </goal>
 <goal name="bind_var_fo_term_in_fo_formula&#39;vc" expl="VC for bind_var_fo_term_in_fo_formula" proved="true">
 <transf name="split_goal_right" proved="true" >
  <goal name="bind_var_fo_term_in_fo_formula&#39;vc.0" expl="assertion" proved="true">
  <proof prover="0"><result status="valid" time="0.06" steps="51"/></proof>
  </goal>
  <goal name="bind_var_fo_term_in_fo_formula&#39;vc.1" expl="assertion" proved="true">
  <proof prover="0"><result status="valid" time="0.09" steps="71"/></proof>
  </goal>
  <goal name="bind_var_fo_term_in_fo_formula&#39;vc.2" expl="assertion" proved="true">
  <proof prover="0"><result status="valid" time="0.14" steps="13"/></proof>
  </goal>
  <goal name="bind_var_fo_term_in_fo_formula&#39;vc.3" expl="variant decrease" proved="true">
  <proof prover="0"><result status="valid" time="0.11" steps="21"/></proof>
  </goal>
  <goal name="bind_var_fo_term_in_fo_formula&#39;vc.4" expl="precondition" proved="true">
  <proof prover="0"><result status="valid" time="0.12" steps="14"/></proof>
  </goal>
  <goal name="bind_var_fo_term_in_fo_formula&#39;vc.5" expl="precondition" proved="true">
  <proof prover="0"><result status="valid" time="0.15" steps="121"/></proof>
  </goal>
  <goal name="bind_var_fo_term_in_fo_formula&#39;vc.6" expl="assertion" proved="true">
  <proof prover="0"><result status="valid" time="0.08" steps="51"/></proof>
  </goal>
  <goal name="bind_var_fo_term_in_fo_formula&#39;vc.7" expl="assertion" proved="true">
  <proof prover="0"><result status="valid" time="0.06" steps="71"/></proof>
  </goal>
  <goal name="bind_var_fo_term_in_fo_formula&#39;vc.8" expl="assertion" proved="true">
  <proof prover="0"><result status="valid" time="0.05" steps="13"/></proof>
  </goal>
  <goal name="bind_var_fo_term_in_fo_formula&#39;vc.9" expl="variant decrease" proved="true">
  <proof prover="0"><result status="valid" time="0.15" steps="21"/></proof>
  </goal>
  <goal name="bind_var_fo_term_in_fo_formula&#39;vc.10" expl="precondition" proved="true">
  <proof prover="0"><result status="valid" time="0.04" steps="14"/></proof>
  </goal>
  <goal name="bind_var_fo_term_in_fo_formula&#39;vc.11" expl="precondition" proved="true">
  <proof prover="0"><result status="valid" time="0.06" steps="121"/></proof>
  </goal>
  <goal name="bind_var_fo_term_in_fo_formula&#39;vc.12" expl="assertion" proved="true">
  <proof prover="0"><result status="valid" time="0.13" steps="11"/></proof>
  </goal>
  <goal name="bind_var_fo_term_in_fo_formula&#39;vc.13" expl="assertion" proved="true">
  <proof prover="0"><result status="valid" time="0.15" steps="21"/></proof>
  </goal>
  <goal name="bind_var_fo_term_in_fo_formula&#39;vc.14" expl="assertion" proved="true">
  <proof prover="0"><result status="valid" time="0.15" steps="13"/></proof>
  </goal>
  <goal name="bind_var_fo_term_in_fo_formula&#39;vc.15" expl="assertion" proved="true">
  <proof prover="0"><result status="valid" time="0.14" steps="13"/></proof>
  </goal>
  <goal name="bind_var_fo_term_in_fo_formula&#39;vc.16" expl="assertion" proved="true">
  <proof prover="0"><result status="valid" time="0.09" steps="13"/></proof>
  </goal>
  <goal name="bind_var_fo_term_in_fo_formula&#39;vc.17" expl="assertion" proved="true">
  <proof prover="0"><result status="valid" time="0.10" steps="13"/></proof>
  </goal>
  <goal name="bind_var_fo_term_in_fo_formula&#39;vc.18" expl="variant decrease" proved="true">
  <proof prover="0"><result status="valid" time="0.12" steps="93"/></proof>
  </goal>
  <goal name="bind_var_fo_term_in_fo_formula&#39;vc.19" expl="precondition" proved="true">
  <proof prover="0"><result status="valid" time="0.05" steps="47"/></proof>
  </goal>
  <goal name="bind_var_fo_term_in_fo_formula&#39;vc.20" expl="precondition" proved="true">
  <proof prover="0"><result status="valid" time="0.06" steps="139"/></proof>
  </goal>
  <goal name="bind_var_fo_term_in_fo_formula&#39;vc.21" expl="variant decrease" proved="true">
  <proof prover="0"><result status="valid" time="0.13" steps="115"/></proof>
  </goal>
  <goal name="bind_var_fo_term_in_fo_formula&#39;vc.22" expl="precondition" proved="true">
  <proof prover="0"><result status="valid" time="0.06" steps="64"/></proof>
  </goal>
  <goal name="bind_var_fo_term_in_fo_formula&#39;vc.23" expl="precondition" proved="true">
  <proof prover="0"><result status="valid" time="0.10" steps="219"/></proof>
  </goal>
  <goal name="bind_var_fo_term_in_fo_formula&#39;vc.24" expl="assertion" proved="true">
  <proof prover="0"><result status="valid" time="0.04" steps="11"/></proof>
  </goal>
  <goal name="bind_var_fo_term_in_fo_formula&#39;vc.25" expl="assertion" proved="true">
  <proof prover="0"><result status="valid" time="0.13" steps="21"/></proof>
  </goal>
  <goal name="bind_var_fo_term_in_fo_formula&#39;vc.26" expl="assertion" proved="true">
  <proof prover="0"><result status="valid" time="0.13" steps="13"/></proof>
  </goal>
  <goal name="bind_var_fo_term_in_fo_formula&#39;vc.27" expl="assertion" proved="true">
  <proof prover="0"><result status="valid" time="0.13" steps="13"/></proof>
  </goal>
  <goal name="bind_var_fo_term_in_fo_formula&#39;vc.28" expl="assertion" proved="true">
  <proof prover="0"><result status="valid" time="0.09" steps="13"/></proof>
  </goal>
  <goal name="bind_var_fo_term_in_fo_formula&#39;vc.29" expl="assertion" proved="true">
  <proof prover="0"><result status="valid" time="0.09" steps="13"/></proof>
  </goal>
  <goal name="bind_var_fo_term_in_fo_formula&#39;vc.30" expl="variant decrease" proved="true">
  <proof prover="0"><result status="valid" time="0.08" steps="93"/></proof>
  </goal>
  <goal name="bind_var_fo_term_in_fo_formula&#39;vc.31" expl="precondition" proved="true">
  <proof prover="0"><result status="valid" time="0.08" steps="47"/></proof>
  </goal>
  <goal name="bind_var_fo_term_in_fo_formula&#39;vc.32" expl="precondition" proved="true">
  <proof prover="0"><result status="valid" time="0.06" steps="139"/></proof>
  </goal>
  <goal name="bind_var_fo_term_in_fo_formula&#39;vc.33" expl="variant decrease" proved="true">
  <proof prover="0"><result status="valid" time="0.14" steps="115"/></proof>
  </goal>
  <goal name="bind_var_fo_term_in_fo_formula&#39;vc.34" expl="precondition" proved="true">
  <proof prover="0"><result status="valid" time="0.14" steps="64"/></proof>
  </goal>
  <goal name="bind_var_fo_term_in_fo_formula&#39;vc.35" expl="precondition" proved="true">
  <proof prover="0"><result status="valid" time="0.04" steps="219"/></proof>
  </goal>
  <goal name="bind_var_fo_term_in_fo_formula&#39;vc.36" expl="assertion" proved="true">
  <proof prover="0"><result status="valid" time="0.13" steps="11"/></proof>
  </goal>
  <goal name="bind_var_fo_term_in_fo_formula&#39;vc.37" expl="assertion" proved="true">
  <proof prover="0"><result status="valid" time="0.12" steps="21"/></proof>
  </goal>
  <goal name="bind_var_fo_term_in_fo_formula&#39;vc.38" expl="assertion" proved="true">
  <proof prover="0" timelimit="5"><result status="valid" time="0.14" steps="13"/></proof>
  </goal>
  <goal name="bind_var_fo_term_in_fo_formula&#39;vc.39" expl="variant decrease" proved="true">
  <proof prover="0"><result status="valid" time="0.14" steps="21"/></proof>
  </goal>
  <goal name="bind_var_fo_term_in_fo_formula&#39;vc.40" expl="precondition" proved="true">
  <proof prover="0"><result status="valid" time="0.15" steps="14"/></proof>
  </goal>
  <goal name="bind_var_fo_term_in_fo_formula&#39;vc.41" expl="precondition" proved="true">
  <proof prover="0"><result status="valid" time="0.12" steps="15"/></proof>
  </goal>
  <goal name="bind_var_fo_term_in_fo_formula&#39;vc.42" expl="assertion" proved="true">
  <proof prover="0"><result status="valid" time="0.13" steps="11"/></proof>
  </goal>
  <goal name="bind_var_fo_term_in_fo_formula&#39;vc.43" expl="assertion" proved="true">
  <proof prover="0"><result status="valid" time="0.14" steps="21"/></proof>
  </goal>
  <goal name="bind_var_fo_term_in_fo_formula&#39;vc.44" expl="assertion" proved="true">
  <proof prover="0"><result status="valid" time="0.08" steps="13"/></proof>
  </goal>
  <goal name="bind_var_fo_term_in_fo_formula&#39;vc.45" expl="precondition" proved="true">
  <proof prover="0" timelimit="5"><result status="valid" time="0.14" steps="38"/></proof>
  </goal>
  <goal name="bind_var_fo_term_in_fo_formula&#39;vc.46" expl="precondition" proved="true">
  <proof prover="0" timelimit="5"><result status="valid" time="0.13" steps="15"/></proof>
  </goal>
  <goal name="bind_var_fo_term_in_fo_formula&#39;vc.47" expl="postcondition" proved="true">
  <proof prover="0"><result status="valid" time="0.26" steps="1891"/></proof>
  </goal>
  <goal name="bind_var_fo_term_in_fo_formula&#39;vc.48" expl="postcondition" proved="true">
  <proof prover="0"><result status="valid" time="0.16" steps="871"/></proof>
  </goal>
  <goal name="bind_var_fo_term_in_fo_formula&#39;vc.49" expl="postcondition" proved="true">
  <proof prover="0"><result status="valid" time="0.14" steps="587"/></proof>
  </goal>
  <goal name="bind_var_fo_term_in_fo_formula&#39;vc.50" expl="postcondition" proved="true">
  <proof prover="0"><result status="valid" time="0.08" steps="520"/></proof>
  </goal>
 </transf>
 </goal>
 <goal name="unbind_var_symbol_in_fo_formula&#39;vc" expl="VC for unbind_var_symbol_in_fo_formula" proved="true">
 <transf name="split_goal_right" proved="true" >
  <goal name="unbind_var_symbol_in_fo_formula&#39;vc.0" expl="assertion" proved="true">
  <proof prover="0"><result status="valid" time="0.04" steps="14"/></proof>
  </goal>
  <goal name="unbind_var_symbol_in_fo_formula&#39;vc.1" expl="assertion" proved="true">
  <proof prover="0"><result status="valid" time="0.13" steps="24"/></proof>
  </goal>
  <goal name="unbind_var_symbol_in_fo_formula&#39;vc.2" expl="assertion" proved="true">
  <proof prover="0"><result status="valid" time="0.12" steps="16"/></proof>
  </goal>
  <goal name="unbind_var_symbol_in_fo_formula&#39;vc.3" expl="variant decrease" proved="true">
  <proof prover="0"><result status="valid" time="0.15" steps="24"/></proof>
  </goal>
  <goal name="unbind_var_symbol_in_fo_formula&#39;vc.4" expl="precondition" proved="true">
  <proof prover="0"><result status="valid" time="0.14" steps="16"/></proof>
  </goal>
  <goal name="unbind_var_symbol_in_fo_formula&#39;vc.5" expl="precondition" proved="true">
  <proof prover="0"><result status="valid" time="0.05" steps="18"/></proof>
  </goal>
  <goal name="unbind_var_symbol_in_fo_formula&#39;vc.6" expl="precondition" proved="true">
  <proof prover="0"><result status="valid" time="0.16" steps="19"/></proof>
  </goal>
  <goal name="unbind_var_symbol_in_fo_formula&#39;vc.7" expl="precondition" proved="true">
  <proof prover="0"><result status="valid" time="0.12" steps="19"/></proof>
  </goal>
  <goal name="unbind_var_symbol_in_fo_formula&#39;vc.8" expl="precondition" proved="true">
  <proof prover="0"><result status="valid" time="0.14" steps="19"/></proof>
  </goal>
  <goal name="unbind_var_symbol_in_fo_formula&#39;vc.9" expl="assertion" proved="true">
  <proof prover="0"><result status="valid" time="0.14" steps="14"/></proof>
  </goal>
  <goal name="unbind_var_symbol_in_fo_formula&#39;vc.10" expl="assertion" proved="true">
  <proof prover="0"><result status="valid" time="0.13" steps="24"/></proof>
  </goal>
  <goal name="unbind_var_symbol_in_fo_formula&#39;vc.11" expl="assertion" proved="true">
  <proof prover="0"><result status="valid" time="0.13" steps="16"/></proof>
  </goal>
  <goal name="unbind_var_symbol_in_fo_formula&#39;vc.12" expl="variant decrease" proved="true">
  <proof prover="0"><result status="valid" time="0.08" steps="24"/></proof>
  </goal>
  <goal name="unbind_var_symbol_in_fo_formula&#39;vc.13" expl="precondition" proved="true">
  <proof prover="0"><result status="valid" time="0.04" steps="16"/></proof>
  </goal>
  <goal name="unbind_var_symbol_in_fo_formula&#39;vc.14" expl="precondition" proved="true">
  <proof prover="0"><result status="valid" time="0.04" steps="18"/></proof>
  </goal>
  <goal name="unbind_var_symbol_in_fo_formula&#39;vc.15" expl="precondition" proved="true">
  <proof prover="0"><result status="valid" time="0.04" steps="19"/></proof>
  </goal>
  <goal name="unbind_var_symbol_in_fo_formula&#39;vc.16" expl="precondition" proved="true">
  <proof prover="0"><result status="valid" time="0.14" steps="19"/></proof>
  </goal>
  <goal name="unbind_var_symbol_in_fo_formula&#39;vc.17" expl="precondition" proved="true">
  <proof prover="0" timelimit="5"><result status="valid" time="0.12" steps="19"/></proof>
  </goal>
  <goal name="unbind_var_symbol_in_fo_formula&#39;vc.18" expl="assertion" proved="true">
  <proof prover="0"><result status="valid" time="0.04" steps="14"/></proof>
  </goal>
  <goal name="unbind_var_symbol_in_fo_formula&#39;vc.19" expl="assertion" proved="true">
  <proof prover="0"><result status="valid" time="0.14" steps="24"/></proof>
  </goal>
  <goal name="unbind_var_symbol_in_fo_formula&#39;vc.20" expl="assertion" proved="true">
  <proof prover="0"><result status="valid" time="0.08" steps="16"/></proof>
  </goal>
  <goal name="unbind_var_symbol_in_fo_formula&#39;vc.21" expl="assertion" proved="true">
  <proof prover="0"><result status="valid" time="0.13" steps="16"/></proof>
  </goal>
  <goal name="unbind_var_symbol_in_fo_formula&#39;vc.22" expl="assertion" proved="true">
  <proof prover="0"><result status="valid" time="0.13" steps="16"/></proof>
  </goal>
  <goal name="unbind_var_symbol_in_fo_formula&#39;vc.23" expl="assertion" proved="true">
  <proof prover="0"><result status="valid" time="0.10" steps="16"/></proof>
  </goal>
  <goal name="unbind_var_symbol_in_fo_formula&#39;vc.24" expl="variant decrease" proved="true">
  <proof prover="0"><result status="valid" time="0.12" steps="100"/></proof>
  </goal>
  <goal name="unbind_var_symbol_in_fo_formula&#39;vc.25" expl="precondition" proved="true">
  <proof prover="0"><result status="valid" time="0.12" steps="16"/></proof>
  </goal>
  <goal name="unbind_var_symbol_in_fo_formula&#39;vc.26" expl="precondition" proved="true">
  <proof prover="0"><result status="valid" time="0.14" steps="55"/></proof>
  </goal>
  <goal name="unbind_var_symbol_in_fo_formula&#39;vc.27" expl="precondition" proved="true">
  <proof prover="0"><result status="valid" time="0.14" steps="227"/></proof>
  </goal>
  <goal name="unbind_var_symbol_in_fo_formula&#39;vc.28" expl="precondition" proved="true">
  <proof prover="0"><result status="valid" time="0.14" steps="19"/></proof>
  </goal>
  <goal name="unbind_var_symbol_in_fo_formula&#39;vc.29" expl="precondition" proved="true">
  <proof prover="0"><result status="valid" time="0.12" steps="19"/></proof>
  </goal>
  <goal name="unbind_var_symbol_in_fo_formula&#39;vc.30" expl="variant decrease" proved="true">
  <proof prover="0"><result status="valid" time="0.14" steps="121"/></proof>
  </goal>
  <goal name="unbind_var_symbol_in_fo_formula&#39;vc.31" 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&#39;vc.32" expl="precondition" proved="true">
  <proof prover="0"><result status="valid" time="0.16" steps="71"/></proof>
  </goal>
  <goal name="unbind_var_symbol_in_fo_formula&#39;vc.33" expl="precondition" proved="true">
  <proof prover="0"><result status="valid" time="0.12" steps="297"/></proof>
  </goal>
  <goal name="unbind_var_symbol_in_fo_formula&#39;vc.34" expl="precondition" proved="true">
  <proof prover="0"><result status="valid" time="0.08" steps="23"/></proof>
  </goal>
  <goal name="unbind_var_symbol_in_fo_formula&#39;vc.35" expl="precondition" proved="true">
  <proof prover="0"><result status="valid" time="0.09" steps="23"/></proof>
  </goal>
  <goal name="unbind_var_symbol_in_fo_formula&#39;vc.36" expl="assertion" proved="true">
  <proof prover="0"><result status="valid" time="0.13" steps="14"/></proof>
  </goal>
  <goal name="unbind_var_symbol_in_fo_formula&#39;vc.37" expl="assertion" proved="true">
  <proof prover="0"><result status="valid" time="0.12" steps="24"/></proof>
  </goal>
  <goal name="unbind_var_symbol_in_fo_formula&#39;vc.38" expl="assertion" proved="true">
  <proof prover="0"><result status="valid" time="0.16" steps="16"/></proof>
  </goal>
  <goal name="unbind_var_symbol_in_fo_formula&#39;vc.39" expl="assertion" proved="true">
  <proof prover="0"><result status="valid" time="0.13" steps="16"/></proof>
  </goal>
  <goal name="unbind_var_symbol_in_fo_formula&#39;vc.40" expl="assertion" proved="true">
  <proof prover="0"><result status="valid" time="0.07" steps="16"/></proof>
  </goal>
  <goal name="unbind_var_symbol_in_fo_formula&#39;vc.41" expl="assertion" proved="true">
  <proof prover="0"><result status="valid" time="0.05" steps="16"/></proof>
  </goal>
  <goal name="unbind_var_symbol_in_fo_formula&#39;vc.42" expl="variant decrease" proved="true">
  <proof prover="0"><result status="valid" time="0.13" steps="100"/></proof>
  </goal>
  <goal name="unbind_var_symbol_in_fo_formula&#39;vc.43" expl="precondition" proved="true">
  <proof prover="0"><result status="valid" time="0.15" steps="16"/></proof>
  </goal>
  <goal name="unbind_var_symbol_in_fo_formula&#39;vc.44" expl="precondition" proved="true">
  <proof prover="0"><result status="valid" time="0.11" steps="55"/></proof>
  </goal>
  <goal name="unbind_var_symbol_in_fo_formula&#39;vc.45" expl="precondition" proved="true">
  <proof prover="0"><result status="valid" time="0.14" steps="227"/></proof>
  </goal>
  <goal name="unbind_var_symbol_in_fo_formula&#39;vc.46" expl="precondition" proved="true">
  <proof prover="0"><result status="valid" time="0.07" steps="19"/></proof>
  </goal>
  <goal name="unbind_var_symbol_in_fo_formula&#39;vc.47" expl="precondition" proved="true">
  <proof prover="0"><result status="valid" time="0.15" steps="19"/></proof>
  </goal>
  <goal name="unbind_var_symbol_in_fo_formula&#39;vc.48" expl="variant decrease" proved="true">
  <proof prover="0"><result status="valid" time="0.12" steps="121"/></proof>
  </goal>
  <goal name="unbind_var_symbol_in_fo_formula&#39;vc.49" expl="precondition" proved="true">
  <proof prover="0"><result status="valid" time="0.12" steps="20"/></proof>
  </goal>
  <goal name="unbind_var_symbol_in_fo_formula&#39;vc.50" expl="precondition" proved="true">
  <proof prover="0"><result status="valid" time="0.14" steps="71"/></proof>
  </goal>
  <goal name="unbind_var_symbol_in_fo_formula&#39;vc.51" expl="precondition" proved="true">
  <proof prover="0"><result status="valid" time="0.15" steps="297"/></proof>
  </goal>
  <goal name="unbind_var_symbol_in_fo_formula&#39;vc.52" expl="precondition" proved="true">
  <proof prover="0" timelimit="5"><result status="valid" time="0.04" steps="23"/></proof>
  </goal>
  <goal name="unbind_var_symbol_in_fo_formula&#39;vc.53" expl="precondition" proved="true">
  <proof prover="0"><result status="valid" time="0.05" steps="23"/></proof>
  </goal>
  <goal name="unbind_var_symbol_in_fo_formula&#39;vc.54" expl="assertion" proved="true">
  <proof prover="0"><result status="valid" time="0.07" steps="14"/></proof>
  </goal>
  <goal name="unbind_var_symbol_in_fo_formula&#39;vc.55" expl="assertion" proved="true">
  <proof prover="0"><result status="valid" time="0.13" steps="24"/></proof>
  </goal>
  <goal name="unbind_var_symbol_in_fo_formula&#39;vc.56" expl="assertion" proved="true">
  <proof prover="0"><result status="valid" time="0.14" steps="16"/></proof>
  </goal>
  <goal name="unbind_var_symbol_in_fo_formula&#39;vc.57" expl="variant decrease" proved="true">
  <proof prover="0"><result status="valid" time="0.14" steps="24"/></proof>
  </goal>
  <goal name="unbind_var_symbol_in_fo_formula&#39;vc.58" expl="precondition" proved="true">
  <proof prover="0"><result status="valid" time="0.14" steps="16"/></proof>
  </goal>
  <goal name="unbind_var_symbol_in_fo_formula&#39;vc.59" expl="precondition" proved="true">
  <proof prover="0"><result status="valid" time="0.04" steps="18"/></proof>
  </goal>
  <goal name="unbind_var_symbol_in_fo_formula&#39;vc.60" expl="precondition" proved="true">
  <proof prover="0"><result status="valid" time="0.10" steps="19"/></proof>
  </goal>
  <goal name="unbind_var_symbol_in_fo_formula&#39;vc.61" expl="precondition" proved="true">
  <proof prover="0"><result status="valid" time="0.14" steps="19"/></proof>
  </goal>
  <goal name="unbind_var_symbol_in_fo_formula&#39;vc.62" expl="precondition" proved="true">
  <proof prover="0"><result status="valid" time="0.15" steps="19"/></proof>
  </goal>
  <goal name="unbind_var_symbol_in_fo_formula&#39;vc.63" expl="assertion" proved="true">
  <proof prover="0"><result status="valid" time="0.13" steps="14"/></proof>
  </goal>
  <goal name="unbind_var_symbol_in_fo_formula&#39;vc.64" expl="assertion" proved="true">
  <proof prover="0"><result status="valid" time="0.13" steps="24"/></proof>
  </goal>
  <goal name="unbind_var_symbol_in_fo_formula&#39;vc.65" expl="assertion" proved="true">
  <proof prover="0"><result status="valid" time="0.14" steps="16"/></proof>
  </goal>
  <goal name="unbind_var_symbol_in_fo_formula&#39;vc.66" expl="assertion" proved="true">
  <proof prover="0"><result status="valid" time="0.04" steps="16"/></proof>
  </goal>
  <goal name="unbind_var_symbol_in_fo_formula&#39;vc.67" expl="assertion" proved="true">
  <proof prover="0"><result status="valid" time="0.04" steps="16"/></proof>
  </goal>
  <goal name="unbind_var_symbol_in_fo_formula&#39;vc.68" expl="assertion" proved="true">
  <proof prover="0"><result status="valid" time="0.13" steps="16"/></proof>
  </goal>
  <goal name="unbind_var_symbol_in_fo_formula&#39;vc.69" expl="precondition" proved="true">
  <proof prover="0"><result status="valid" time="0.05" steps="16"/></proof>
  </goal>
  <goal name="unbind_var_symbol_in_fo_formula&#39;vc.70" expl="precondition" proved="true">
  <proof prover="0"><result status="valid" time="0.08" steps="47"/></proof>
  </goal>
  <goal name="unbind_var_symbol_in_fo_formula&#39;vc.71" expl="precondition" proved="true">
  <proof prover="0"><result status="valid" time="0.14" steps="126"/></proof>
  </goal>
  <goal name="unbind_var_symbol_in_fo_formula&#39;vc.72" expl="precondition" proved="true">
  <proof prover="0"><result status="valid" time="0.14" steps="19"/></proof>
  </goal>
  <goal name="unbind_var_symbol_in_fo_formula&#39;vc.73" expl="precondition" proved="true">
  <proof prover="0"><result status="valid" time="0.14" steps="19"/></proof>
  </goal>
  <goal name="unbind_var_symbol_in_fo_formula&#39;vc.74" 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&#39;vc.75" expl="precondition" proved="true">
  <proof prover="0"><result status="valid" time="0.13" steps="65"/></proof>
  </goal>
  <goal name="unbind_var_symbol_in_fo_formula&#39;vc.76" expl="precondition" proved="true">
  <proof prover="0" timelimit="5"><result status="valid" time="0.16" steps="147"/></proof>
  </goal>
  <goal name="unbind_var_symbol_in_fo_formula&#39;vc.77" expl="precondition" proved="true">
  <proof prover="0"><result status="valid" time="0.13" steps="23"/></proof>
  </goal>
  <goal name="unbind_var_symbol_in_fo_formula&#39;vc.78" expl="precondition" proved="true">
  <proof prover="0"><result status="valid" time="0.12" steps="23"/></proof>
  </goal>
  <goal name="unbind_var_symbol_in_fo_formula&#39;vc.79" expl="postcondition" proved="true">
  <proof prover="0"><result status="valid" time="0.13" steps="906"/></proof>
  </goal>
  <goal name="unbind_var_symbol_in_fo_formula&#39;vc.80" expl="postcondition" proved="true">
  <proof prover="0"><result status="valid" time="0.24" steps="1371"/></proof>
  </goal>
  <goal name="unbind_var_symbol_in_fo_formula&#39;vc.81" expl="postcondition" proved="true">
  <proof prover="0"><result status="valid" time="0.14" steps="484"/></proof>
  </goal>
  <goal name="unbind_var_symbol_in_fo_formula&#39;vc.82" expl="postcondition" proved="true">
  <proof prover="0"><result status="valid" time="0.14" steps="535"/></proof>
  </goal>
 </transf>
 </goal>
 <goal name="unbind_var_fo_term_in_fo_formula&#39;vc" expl="VC for unbind_var_fo_term_in_fo_formula" proved="true">
 <transf name="split_goal_right" proved="true" >
  <goal name="unbind_var_fo_term_in_fo_formula&#39;vc.0" expl="assertion" proved="true">
  <proof prover="0"><result status="valid" time="0.11" steps="15"/></proof>
  </goal>
  <goal name="unbind_var_fo_term_in_fo_formula&#39;vc.1" expl="assertion" proved="true">
  <proof prover="0" timelimit="5"><result status="valid" time="0.10" steps="270"/></proof>
  </goal>
  <goal name="unbind_var_fo_term_in_fo_formula&#39;vc.2" expl="assertion" proved="true">
  <proof prover="0" timelimit="5"><result status="valid" time="0.14" steps="17"/></proof>
  </goal>
  <goal name="unbind_var_fo_term_in_fo_formula&#39;vc.3" expl="variant decrease" proved="true">
  <proof prover="0"><result status="valid" time="0.14" steps="25"/></proof>
  </goal>
  <goal name="unbind_var_fo_term_in_fo_formula&#39;vc.4" expl="precondition" proved="true">
  <proof prover="0"><result status="valid" time="0.14" steps="17"/></proof>
  </goal>
  <goal name="unbind_var_fo_term_in_fo_formula&#39;vc.5" expl="precondition" proved="true">
  <proof prover="0"><result status="valid" time="0.14" steps="19"/></proof>
  </goal>
  <goal name="unbind_var_fo_term_in_fo_formula&#39;vc.6" expl="precondition" proved="true">
  <proof prover="0"><result status="valid" time="0.16" steps="105"/></proof>
  </goal>
  <goal name="unbind_var_fo_term_in_fo_formula&#39;vc.7" expl="precondition" proved="true">
  <proof prover="0"><result status="valid" time="0.05" steps="20"/></proof>
  </goal>
  <goal name="unbind_var_fo_term_in_fo_formula&#39;vc.8" expl="precondition" proved="true">
  <proof prover="0"><result status="valid" time="0.14" steps="20"/></proof>
  </goal>
  <goal name="unbind_var_fo_term_in_fo_formula&#39;vc.9" expl="precondition" proved="true">
  <proof prover="0"><result status="valid" time="0.04" steps="20"/></proof>
  </goal>
  <goal name="unbind_var_fo_term_in_fo_formula&#39;vc.10" expl="assertion" proved="true">
  <proof prover="0"><result status="valid" time="0.13" steps="15"/></proof>
  </goal>
  <goal name="unbind_var_fo_term_in_fo_formula&#39;vc.11" expl="assertion" proved="true">
  <proof prover="0"><result status="valid" time="0.09" steps="270"/></proof>
  </goal>
  <goal name="unbind_var_fo_term_in_fo_formula&#39;vc.12" expl="assertion" proved="true">
  <proof prover="0"><result status="valid" time="0.13" steps="17"/></proof>
  </goal>
  <goal name="unbind_var_fo_term_in_fo_formula&#39;vc.13" expl="variant decrease" proved="true">
  <proof prover="0"><result status="valid" time="0.14" steps="25"/></proof>
  </goal>
  <goal name="unbind_var_fo_term_in_fo_formula&#39;vc.14" expl="precondition" proved="true">
  <proof prover="0"><result status="valid" time="0.14" steps="17"/></proof>
  </goal>
  <goal name="unbind_var_fo_term_in_fo_formula&#39;vc.15" expl="precondition" proved="true">
  <proof prover="0"><result status="valid" time="0.14" steps="19"/></proof>
  </goal>
  <goal name="unbind_var_fo_term_in_fo_formula&#39;vc.16" expl="precondition" proved="true">
  <proof prover="0"><result status="valid" time="0.18" steps="105"/></proof>
  </goal>
  <goal name="unbind_var_fo_term_in_fo_formula&#39;vc.17" expl="precondition" proved="true">
  <proof prover="0"><result status="valid" time="0.14" steps="20"/></proof>
  </goal>
  <goal name="unbind_var_fo_term_in_fo_formula&#39;vc.18" expl="precondition" proved="true">
  <proof prover="0" timelimit="5"><result status="valid" time="0.10" steps="20"/></proof>
  </goal>
  <goal name="unbind_var_fo_term_in_fo_formula&#39;vc.19" expl="precondition" proved="true">
  <proof prover="0"><result status="valid" time="0.05" steps="20"/></proof>
  </goal>
  <goal name="unbind_var_fo_term_in_fo_formula&#39;vc.20" expl="assertion" proved="true">
  <proof prover="0"><result status="valid" time="0.14" steps="15"/></proof>
  </goal>
  <goal name="unbind_var_fo_term_in_fo_formula&#39;vc.21" expl="assertion" proved="true">
  <proof prover="0"><result status="valid" time="0.14" steps="25"/></proof>
  </goal>
  <goal name="unbind_var_fo_term_in_fo_formula&#39;vc.22" expl="assertion" proved="true">
  <proof prover="0"><result status="valid" time="0.14" steps="17"/></proof>
  </goal>
  <goal name="unbind_var_fo_term_in_fo_formula&#39;vc.23" expl="assertion" proved="true">
  <proof prover="0"><result status="valid" time="0.13" steps="17"/></proof>
  </goal>
  <goal name="unbind_var_fo_term_in_fo_formula&#39;vc.24" expl="assertion" proved="true">
  <proof prover="0"><result status="valid" time="0.12" steps="17"/></proof>
  </goal>
  <goal name="unbind_var_fo_term_in_fo_formula&#39;vc.25" expl="assertion" proved="true">
  <proof prover="0"><result status="valid" time="0.14" steps="17"/></proof>
  </goal>
  <goal name="unbind_var_fo_term_in_fo_formula&#39;vc.26" expl="variant decrease" proved="true">
  <proof prover="0"><result status="valid" time="0.16" steps="98"/></proof>
  </goal>
  <goal name="unbind_var_fo_term_in_fo_formula&#39;vc.27" expl="precondition" proved="true">
  <proof prover="0"><result status="valid" time="0.12" steps="17"/></proof>
  </goal>
  <goal name="unbind_var_fo_term_in_fo_formula&#39;vc.28" expl="precondition" proved="true">
  <proof prover="0"><result status="valid" time="0.13" steps="53"/></proof>
  </goal>
  <goal name="unbind_var_fo_term_in_fo_formula&#39;vc.29" expl="precondition" proved="true">
  <proof prover="0"><result status="valid" time="0.15" steps="147"/></proof>
  </goal>
  <goal name="unbind_var_fo_term_in_fo_formula&#39;vc.30" expl="precondition" proved="true">
  <proof prover="0"><result status="valid" time="0.12" steps="20"/></proof>
  </goal>
  <goal name="unbind_var_fo_term_in_fo_formula&#39;vc.31" expl="precondition" proved="true">
  <proof prover="0"><result status="valid" time="0.14" steps="20"/></proof>
  </goal>
  <goal name="unbind_var_fo_term_in_fo_formula&#39;vc.32" expl="precondition" proved="true">
  <proof prover="0"><result status="valid" time="0.13" steps="20"/></proof>
  </goal>
  <goal name="unbind_var_fo_term_in_fo_formula&#39;vc.33" expl="variant decrease" proved="true">
  <proof prover="0"><result status="valid" time="0.13" steps="119"/></proof>
  </goal>
  <goal name="unbind_var_fo_term_in_fo_formula&#39;vc.34" expl="precondition" proved="true">
  <proof prover="0"><result status="valid" time="0.13" steps="21"/></proof>
  </goal>
  <goal name="unbind_var_fo_term_in_fo_formula&#39;vc.35" expl="precondition" proved="true">
  <proof prover="0"><result status="valid" time="0.14" steps="69"/></proof>
  </goal>
  <goal name="unbind_var_fo_term_in_fo_formula&#39;vc.36" expl="precondition" proved="true">
  <proof prover="0"><result status="valid" time="0.11" steps="225"/></proof>
  </goal>
  <goal name="unbind_var_fo_term_in_fo_formula&#39;vc.37" expl="precondition" proved="true">
  <proof prover="0"><result status="valid" time="0.11" steps="24"/></proof>
  </goal>
  <goal name="unbind_var_fo_term_in_fo_formula&#39;vc.38" expl="precondition" proved="true">
  <proof prover="0"><result status="valid" time="0.06" steps="24"/></proof>
  </goal>
  <goal name="unbind_var_fo_term_in_fo_formula&#39;vc.39" expl="precondition" proved="true">
  <proof prover="0" timelimit="5"><result status="valid" time="0.09" steps="24"/></proof>
  </goal>
  <goal name="unbind_var_fo_term_in_fo_formula&#39;vc.40" expl="assertion" proved="true">
  <proof prover="0"><result status="valid" time="0.14" steps="15"/></proof>
  </goal>
  <goal name="unbind_var_fo_term_in_fo_formula&#39;vc.41" expl="assertion" proved="true">
  <proof prover="0"><result status="valid" time="0.11" steps="25"/></proof>
  </goal>
  <goal name="unbind_var_fo_term_in_fo_formula&#39;vc.42" expl="assertion" proved="true">
  <proof prover="0"><result status="valid" time="0.12" steps="17"/></proof>
  </goal>
  <goal name="unbind_var_fo_term_in_fo_formula&#39;vc.43" expl="assertion" proved="true">
  <proof prover="0"><result status="valid" time="0.12" steps="17"/></proof>
  </goal>
  <goal name="unbind_var_fo_term_in_fo_formula&#39;vc.44" expl="assertion" proved="true">
  <proof prover="0"><result status="valid" time="0.12" steps="17"/></proof>
  </goal>
  <goal name="unbind_var_fo_term_in_fo_formula&#39;vc.45" expl="assertion" proved="true">
  <proof prover="0"><result status="valid" time="0.15" steps="17"/></proof>
  </goal>
  <goal name="unbind_var_fo_term_in_fo_formula&#39;vc.46" expl="variant decrease" proved="true">
  <proof prover="0"><result status="valid" time="0.13" steps="98"/></proof>
  </goal>
  <goal name="unbind_var_fo_term_in_fo_formula&#39;vc.47" expl="precondition" proved="true">
  <proof prover="0"><result status="valid" time="0.14" steps="17"/></proof>
  </goal>
  <goal name="unbind_var_fo_term_in_fo_formula&#39;vc.48" expl="precondition" proved="true">
  <proof prover="0"><result status="valid" time="0.13" steps="53"/></proof>
  </goal>
  <goal name="unbind_var_fo_term_in_fo_formula&#39;vc.49" expl="precondition" proved="true">
  <proof prover="0"><result status="valid" time="0.15" steps="147"/></proof>
  </goal>
  <goal name="unbind_var_fo_term_in_fo_formula&#39;vc.50" expl="precondition" proved="true">
  <proof prover="0"><result status="valid" time="0.13" steps="20"/></proof>
  </goal>
  <goal name="unbind_var_fo_term_in_fo_formula&#39;vc.51" expl="precondition" proved="true">
  <proof prover="0"><result status="valid" time="0.14" steps="20"/></proof>
  </goal>
  <goal name="unbind_var_fo_term_in_fo_formula&#39;vc.52" expl="precondition" proved="true">
  <proof prover="0"><result status="valid" time="0.14" steps="20"/></proof>
  </goal>
  <goal name="unbind_var_fo_term_in_fo_formula&#39;vc.53" expl="variant decrease" proved="true">
  <proof prover="0"><result status="valid" time="0.14" steps="119"/></proof>
  </goal>
  <goal name="unbind_var_fo_term_in_fo_formula&#39;vc.54" expl="precondition" proved="true">
  <proof prover="0"><result status="valid" time="0.04" steps="21"/></proof>
  </goal>
  <goal name="unbind_var_fo_term_in_fo_formula&#39;vc.55" expl="precondition" proved="true">
  <proof prover="0"><result status="valid" time="0.15" steps="69"/></proof>
  </goal>
  <goal name="unbind_var_fo_term_in_fo_formula&#39;vc.56" expl="precondition" proved="true">
  <proof prover="0"><result status="valid" time="0.05" steps="225"/></proof>
  </goal>
  <goal name="unbind_var_fo_term_in_fo_formula&#39;vc.57" expl="precondition" proved="true">
  <proof prover="0"><result status="valid" time="0.13" steps="24"/></proof>
  </goal>
  <goal name="unbind_var_fo_term_in_fo_formula&#39;vc.58" expl="precondition" proved="true">
  <proof prover="0"><result status="valid" time="0.13" steps="24"/></proof>
  </goal>
  <goal name="unbind_var_fo_term_in_fo_formula&#39;vc.59" expl="precondition" proved="true">
  <proof prover="0"><result status="valid" time="0.14" steps="24"/></proof>
  </goal>
  <goal name="unbind_var_fo_term_in_fo_formula&#39;vc.60" expl="assertion" proved="true">
  <proof prover="0"><result status="valid" time="0.12" steps="15"/></proof>
  </goal>
  <goal name="unbind_var_fo_term_in_fo_formula&#39;vc.61" expl="assertion" proved="true">
  <proof prover="0"><result status="valid" time="0.14" steps="25"/></proof>
  </goal>
  <goal name="unbind_var_fo_term_in_fo_formula&#39;vc.62" expl="assertion" proved="true">
  <proof prover="0"><result status="valid" time="0.14" steps="17"/></proof>
  </goal>
  <goal name="unbind_var_fo_term_in_fo_formula&#39;vc.63" expl="variant decrease" proved="true">
  <proof prover="0"><result status="valid" time="0.14" steps="25"/></proof>
  </goal>
  <goal name="unbind_var_fo_term_in_fo_formula&#39;vc.64" expl="precondition" proved="true">
  <proof prover="0"><result status="valid" time="0.15" steps="17"/></proof>
  </goal>
  <goal name="unbind_var_fo_term_in_fo_formula&#39;vc.65" expl="precondition" proved="true">
  <proof prover="0"><result status="valid" time="0.16" steps="19"/></proof>
  </goal>
  <goal name="unbind_var_fo_term_in_fo_formula&#39;vc.66" expl="precondition" proved="true">
  <proof prover="0"><result status="valid" time="0.10" steps="20"/></proof>
  </goal>
  <goal name="unbind_var_fo_term_in_fo_formula&#39;vc.67" expl="precondition" proved="true">
  <proof prover="0" timelimit="5"><result status="valid" time="0.12" steps="20"/></proof>
  </goal>
  <goal name="unbind_var_fo_term_in_fo_formula&#39;vc.68" expl="precondition" proved="true">
  <proof prover="0"><result status="valid" time="0.12" steps="20"/></proof>
  </goal>
  <goal name="unbind_var_fo_term_in_fo_formula&#39;vc.69" expl="precondition" proved="true">
  <proof prover="0"><result status="valid" time="0.12" steps="20"/></proof>
  </goal>
  <goal name="unbind_var_fo_term_in_fo_formula&#39;vc.70" expl="assertion" proved="true">
  <proof prover="0"><result status="valid" time="0.15" steps="15"/></proof>
  </goal>
  <goal name="unbind_var_fo_term_in_fo_formula&#39;vc.71" expl="assertion" proved="true">
  <proof prover="0"><result status="valid" time="0.14" steps="25"/></proof>
  </goal>
  <goal name="unbind_var_fo_term_in_fo_formula&#39;vc.72" expl="assertion" proved="true">
  <proof prover="0"><result status="valid" time="0.08" steps="17"/></proof>
  </goal>
  <goal name="unbind_var_fo_term_in_fo_formula&#39;vc.73" expl="assertion" proved="true">
  <proof prover="0"><result status="valid" time="0.07" steps="17"/></proof>
  </goal>
  <goal name="unbind_var_fo_term_in_fo_formula&#39;vc.74" expl="assertion" proved="true">
  <proof prover="0"><result status="valid" time="0.13" steps="17"/></proof>
  </goal>
  <goal name="unbind_var_fo_term_in_fo_formula&#39;vc.75" expl="assertion" proved="true">
  <proof prover="0"><result status="valid" time="0.07" steps="17"/></proof>
  </goal>
  <goal name="unbind_var_fo_term_in_fo_formula&#39;vc.76" expl="precondition" proved="true">
  <proof prover="0"><result status="valid" time="0.13" steps="17"/></proof>
  </goal>
  <goal name="unbind_var_fo_term_in_fo_formula&#39;vc.77" expl="precondition" proved="true">
  <proof prover="0"><result status="valid" time="0.06" steps="44"/></proof>
  </goal>
  <goal name="unbind_var_fo_term_in_fo_formula&#39;vc.78" expl="precondition" proved="true">
  <proof prover="0"><result status="valid" time="0.13" steps="20"/></proof>
  </goal>
  <goal name="unbind_var_fo_term_in_fo_formula&#39;vc.79" expl="precondition" proved="true">
  <proof prover="0"><result status="valid" time="0.04" steps="20"/></proof>
  </goal>
  <goal name="unbind_var_fo_term_in_fo_formula&#39;vc.80" expl="precondition" proved="true">
  <proof prover="0"><result status="valid" time="0.12" steps="20"/></proof>
  </goal>
  <goal name="unbind_var_fo_term_in_fo_formula&#39;vc.81" expl="precondition" proved="true">
  <proof prover="0"><result status="valid" time="0.15" steps="20"/></proof>
  </goal>
  <goal name="unbind_var_fo_term_in_fo_formula&#39;vc.82" expl="postcondition" proved="true">
  <proof prover="0"><result status="valid" time="0.14" steps="856"/></proof>
  </goal>
  <goal name="unbind_var_fo_term_in_fo_formula&#39;vc.83" expl="postcondition" proved="true">
  <proof prover="0"><result status="valid" time="0.29" steps="1353"/></proof>
  </goal>
  <goal name="unbind_var_fo_term_in_fo_formula&#39;vc.84" expl="postcondition" proved="true">
  <proof prover="0"><result status="valid" time="0.16" steps="591"/></proof>
  </goal>
  <goal name="unbind_var_fo_term_in_fo_formula&#39;vc.85" expl="postcondition" proved="true">
  <proof prover="0"><result status="valid" time="0.13" steps="524"/></proof>
  </goal>
 </transf>
 </goal>
 <goal name="subst_base_symbol_in_fo_formula&#39;vc" expl="VC for subst_base_symbol_in_fo_formula" proved="true">
 <transf name="split_goal_right" proved="true" >
  <goal name="subst_base_symbol_in_fo_formula&#39;vc.0" expl="assertion" proved="true">
  <proof prover="0" timelimit="5"><result status="valid" time="0.15" steps="12"/></proof>
  </goal>
  <goal name="subst_base_symbol_in_fo_formula&#39;vc.1" expl="assertion" proved="true">
  <proof prover="0" timelimit="5"><result status="valid" time="0.13" steps="21"/></proof>
  </goal>
  <goal name="subst_base_symbol_in_fo_formula&#39;vc.2" expl="assertion" proved="true">
  <proof prover="0" timelimit="5"><result status="valid" time="0.15" steps="14"/></proof>
  </goal>
  <goal name="subst_base_symbol_in_fo_formula&#39;vc.3" expl="variant decrease" proved="true">
  <proof prover="0" timelimit="5"><result status="valid" time="0.06" steps="22"/></proof>
  </goal>
  <goal name="subst_base_symbol_in_fo_formula&#39;vc.4" expl="precondition" proved="true">
  <proof prover="0" timelimit="5"><result status="valid" time="0.08" steps="15"/></proof>
  </goal>
  <goal name="subst_base_symbol_in_fo_formula&#39;vc.5" expl="precondition" proved="true">
  <proof prover="0" timelimit="5"><result status="valid" time="0.05" steps="15"/></proof>
  </goal>
  <goal name="subst_base_symbol_in_fo_formula&#39;vc.6" expl="precondition" proved="true">
  <proof prover="0" timelimit="5"><result status="valid" time="0.15" steps="15"/></proof>
  </goal>
  <goal name="subst_base_symbol_in_fo_formula&#39;vc.7" expl="assertion" proved="true">
  <proof prover="0" timelimit="5"><result status="valid" time="0.13" steps="12"/></proof>
  </goal>
  <goal name="subst_base_symbol_in_fo_formula&#39;vc.8" expl="assertion" proved="true">
  <proof prover="0" timelimit="5"><result status="valid" time="0.14" steps="21"/></proof>
  </goal>
  <goal name="subst_base_symbol_in_fo_formula&#39;vc.9" expl="assertion" proved="true">
  <proof prover="0" timelimit="5"><result status="valid" time="0.13" steps="14"/></proof>
  </goal>
  <goal name="subst_base_symbol_in_fo_formula&#39;vc.10" expl="variant decrease" proved="true">
  <proof prover="0" timelimit="5"><result status="valid" time="0.16" steps="22"/></proof>
  </goal>
  <goal name="subst_base_symbol_in_fo_formula&#39;vc.11" expl="precondition" proved="true">
  <proof prover="0" timelimit="5"><result status="valid" time="0.14" steps="15"/></proof>
  </goal>
  <goal name="subst_base_symbol_in_fo_formula&#39;vc.12" expl="precondition" proved="true">
  <proof prover="0" timelimit="5"><result status="valid" time="0.14" steps="15"/></proof>
  </goal>
  <goal name="subst_base_symbol_in_fo_formula&#39;vc.13" expl="precondition" proved="true">
  <proof prover="0" timelimit="5"><result status="valid" time="0.16" steps="15"/></proof>
  </goal>
  <goal name="subst_base_symbol_in_fo_formula&#39;vc.14" expl="assertion" proved="true">
  <proof prover="0" timelimit="5"><result status="valid" time="0.16" steps="12"/></proof>
  </goal>
  <goal name="subst_base_symbol_in_fo_formula&#39;vc.15" expl="assertion" proved="true">
  <proof prover="0" timelimit="5"><result status="valid" time="0.07" steps="21"/></proof>
  </goal>
  <goal name="subst_base_symbol_in_fo_formula&#39;vc.16" expl="assertion" proved="true">
  <proof prover="0" timelimit="5"><result status="valid" time="0.16" steps="14"/></proof>
  </goal>
  <goal name="subst_base_symbol_in_fo_formula&#39;vc.17" expl="assertion" proved="true">
  <proof prover="0" timelimit="5"><result status="valid" time="0.16" steps="14"/></proof>
  </goal>
  <goal name="subst_base_symbol_in_fo_formula&#39;vc.18" expl="assertion" proved="true">
  <proof prover="0" timelimit="5"><result status="valid" time="0.14" steps="14"/></proof>
  </goal>
  <goal name="subst_base_symbol_in_fo_formula&#39;vc.19" expl="assertion" proved="true">
  <proof prover="0" timelimit="5"><result status="valid" time="0.05" steps="14"/></proof>
  </goal>
  <goal name="subst_base_symbol_in_fo_formula&#39;vc.20" expl="variant decrease" proved="true">
  <proof prover="0" timelimit="5"><result status="valid" time="0.15" steps="93"/></proof>
  </goal>
  <goal name="subst_base_symbol_in_fo_formula&#39;vc.21" expl="precondition" proved="true">
  <proof prover="0" timelimit="5"><result status="valid" time="0.13" steps="47"/></proof>
  </goal>
  <goal name="subst_base_symbol_in_fo_formula&#39;vc.22" expl="precondition" proved="true">
  <proof prover="0" timelimit="5"><result status="valid" time="0.15" steps="15"/></proof>
  </goal>
  <goal name="subst_base_symbol_in_fo_formula&#39;vc.23" expl="precondition" proved="true">
  <proof prover="0" timelimit="5"><result status="valid" time="0.05" steps="15"/></proof>
  </goal>
  <goal name="subst_base_symbol_in_fo_formula&#39;vc.24" expl="variant decrease" proved="true">
  <proof prover="0" timelimit="5"><result status="valid" time="0.05" steps="118"/></proof>
  </goal>
  <goal name="subst_base_symbol_in_fo_formula&#39;vc.25" expl="precondition" proved="true">
  <proof prover="0" timelimit="5"><result status="valid" time="0.05" steps="67"/></proof>
  </goal>
  <goal name="subst_base_symbol_in_fo_formula&#39;vc.26" expl="precondition" proved="true">
  <proof prover="0" timelimit="5"><result status="valid" time="0.06" steps="19"/></proof>
  </goal>
  <goal name="subst_base_symbol_in_fo_formula&#39;vc.27" expl="precondition" proved="true">
  <proof prover="0" timelimit="5"><result status="valid" time="0.05" steps="19"/></proof>
  </goal>
  <goal name="subst_base_symbol_in_fo_formula&#39;vc.28" expl="assertion" proved="true">
  <proof prover="0" timelimit="5"><result status="valid" time="0.12" steps="12"/></proof>
  </goal>
  <goal name="subst_base_symbol_in_fo_formula&#39;vc.29" expl="assertion" proved="true">
  <proof prover="0" timelimit="5"><result status="valid" time="0.14" steps="21"/></proof>
  </goal>
  <goal name="subst_base_symbol_in_fo_formula&#39;vc.30" expl="assertion" proved="true">
  <proof prover="0" timelimit="5"><result status="valid" time="0.12" steps="14"/></proof>
  </goal>
  <goal name="subst_base_symbol_in_fo_formula&#39;vc.31" expl="assertion" proved="true">
  <proof prover="0" timelimit="5"><result status="valid" time="0.13" steps="14"/></proof>
  </goal>
  <goal name="subst_base_symbol_in_fo_formula&#39;vc.32" expl="assertion" proved="true">
  <proof prover="0" timelimit="5"><result status="valid" time="0.14" steps="14"/></proof>
  </goal>
  <goal name="subst_base_symbol_in_fo_formula&#39;vc.33" expl="assertion" proved="true">
  <proof prover="0" timelimit="5"><result status="valid" time="0.13" steps="14"/></proof>
  </goal>
  <goal name="subst_base_symbol_in_fo_formula&#39;vc.34" expl="variant decrease" proved="true">
  <proof prover="0" timelimit="5"><result status="valid" time="0.07" steps="93"/></proof>
  </goal>
  <goal name="subst_base_symbol_in_fo_formula&#39;vc.35" expl="precondition" proved="true">
  <proof prover="0" timelimit="5"><result status="valid" time="0.13" steps="47"/></proof>
  </goal>
  <goal name="subst_base_symbol_in_fo_formula&#39;vc.36" expl="precondition" proved="true">
  <proof prover="0" timelimit="5"><result status="valid" time="0.05" steps="15"/></proof>
  </goal>
  <goal name="subst_base_symbol_in_fo_formula&#39;vc.37" expl="precondition" proved="true">
  <proof prover="0" timelimit="5"><result status="valid" time="0.14" steps="15"/></proof>
  </goal>
  <goal name="subst_base_symbol_in_fo_formula&#39;vc.38" expl="variant decrease" proved="true">
  <proof prover="0" timelimit="5"><result status="valid" time="0.15" steps="118"/></proof>
  </goal>
  <goal name="subst_base_symbol_in_fo_formula&#39;vc.39" expl="precondition" proved="true">
  <proof prover="0" timelimit="5"><result status="valid" time="0.14" steps="67"/></proof>
  </goal>
  <goal name="subst_base_symbol_in_fo_formula&#39;vc.40" expl="precondition" proved="true">
  <proof prover="0" timelimit="5"><result status="valid" time="0.06" steps="19"/></proof>
  </goal>
  <goal name="subst_base_symbol_in_fo_formula&#39;vc.41" expl="precondition" proved="true">
  <proof prover="0" timelimit="5"><result status="valid" time="0.13" steps="19"/></proof>
  </goal>
  <goal name="subst_base_symbol_in_fo_formula&#39;vc.42" expl="assertion" proved="true">
  <proof prover="0" timelimit="5"><result status="valid" time="0.06" steps="12"/></proof>
  </goal>
  <goal name="subst_base_symbol_in_fo_formula&#39;vc.43" expl="assertion" proved="true">
  <proof prover="0" timelimit="5"><result status="valid" time="0.15" steps="21"/></proof>
  </goal>
  <goal name="subst_base_symbol_in_fo_formula&#39;vc.44" expl="assertion" proved="true">
  <proof prover="0" timelimit="5"><result status="valid" time="0.14" steps="14"/></proof>
  </goal>
  <goal name="subst_base_symbol_in_fo_formula&#39;vc.45" expl="variant decrease" proved="true">
  <proof prover="0" timelimit="5"><result status="valid" time="0.11" steps="22"/></proof>
  </goal>
  <goal name="subst_base_symbol_in_fo_formula&#39;vc.46" expl="precondition" proved="true">
  <proof prover="0" timelimit="5"><result status="valid" time="0.04" steps="15"/></proof>
  </goal>
  <goal name="subst_base_symbol_in_fo_formula&#39;vc.47" expl="precondition" proved="true">
  <proof prover="0" timelimit="5"><result status="valid" time="0.08" steps="15"/></proof>
  </goal>
  <goal name="subst_base_symbol_in_fo_formula&#39;vc.48" expl="precondition" proved="true">
  <proof prover="0" timelimit="5"><result status="valid" time="0.14" steps="15"/></proof>
  </goal>
  <goal name="subst_base_symbol_in_fo_formula&#39;vc.49" expl="assertion" proved="true">
  <proof prover="0" timelimit="5"><result status="valid" time="0.07" steps="12"/></proof>
  </goal>
  <goal name="subst_base_symbol_in_fo_formula&#39;vc.50" expl="assertion" proved="true">
  <proof prover="0" timelimit="5"><result status="valid" time="0.16" steps="21"/></proof>
  </goal>
  <goal name="subst_base_symbol_in_fo_formula&#39;vc.51" expl="assertion" proved="true">
  <proof prover="0" timelimit="5"><result status="valid" time="0.13" steps="14"/></proof>
  </goal>
  <goal name="subst_base_symbol_in_fo_formula&#39;vc.52" expl="assertion" proved="true">
  <proof prover="0" timelimit="5"><result status="valid" time="0.15" steps="14"/></proof>
  </goal>
  <goal name="subst_base_symbol_in_fo_formula&#39;vc.53" expl="assertion" proved="true">
  <proof prover="0" timelimit="5"><result status="valid" time="0.15" steps="14"/></proof>
  </goal>
  <goal name="subst_base_symbol_in_fo_formula&#39;vc.54" expl="assertion" proved="true">
  <proof prover="0" timelimit="5"><result status="valid" time="0.04" steps="14"/></proof>
  </goal>
  <goal name="subst_base_symbol_in_fo_formula&#39;vc.55" expl="precondition" proved="true">
  <proof prover="0" timelimit="5"><result status="valid" time="0.14" steps="39"/></proof>
  </goal>
  <goal name="subst_base_symbol_in_fo_formula&#39;vc.56" expl="precondition" proved="true">
  <proof prover="0" timelimit="5"><result status="valid" time="0.15" steps="15"/></proof>
  </goal>
  <goal name="subst_base_symbol_in_fo_formula&#39;vc.57" expl="precondition" proved="true">
  <proof prover="0" timelimit="5"><result status="valid" time="0.04" steps="15"/></proof>
  </goal>
  <goal name="subst_base_symbol_in_fo_formula&#39;vc.58" expl="precondition" proved="true">
  <proof prover="0" timelimit="5"><result status="valid" time="0.14" steps="58"/></proof>
  </goal>
  <goal name="subst_base_symbol_in_fo_formula&#39;vc.59" expl="precondition" proved="true">
  <proof prover="0" timelimit="5"><result status="valid" time="0.15" steps="19"/></proof>
  </goal>
  <goal name="subst_base_symbol_in_fo_formula&#39;vc.60" expl="precondition" proved="true">
  <proof prover="0" timelimit="5"><result status="valid" time="0.14" steps="19"/></proof>
  </goal>
  <goal name="subst_base_symbol_in_fo_formula&#39;vc.61" expl="postcondition" proved="true">
  <proof prover="0" timelimit="5"><result status="valid" time="0.14" steps="901"/></proof>
  </goal>
  <goal name="subst_base_symbol_in_fo_formula&#39;vc.62" expl="postcondition" proved="true">
  <proof prover="0" timelimit="5"><result status="valid" time="0.18" steps="602"/></proof>
  </goal>
  <goal name="subst_base_symbol_in_fo_formula&#39;vc.63" expl="postcondition" proved="true">
  <proof prover="0" timelimit="5"><result status="valid" time="0.13" steps="499"/></proof>
  </goal>
  <goal name="subst_base_symbol_in_fo_formula&#39;vc.64" expl="postcondition" proved="true">
  <proof prover="0" timelimit="5"><result status="valid" time="0.14" steps="550"/></proof>
  </goal>
 </transf>
 </goal>
 <goal name="subst_base_fo_term_in_fo_formula&#39;vc" expl="VC for subst_base_fo_term_in_fo_formula" proved="true">
 <transf name="split_goal_right" proved="true" >
  <goal name="subst_base_fo_term_in_fo_formula&#39;vc.0" expl="assertion" proved="true">
  <proof prover="0" timelimit="5"><result status="valid" time="0.14" steps="13"/></proof>
  </goal>
  <goal name="subst_base_fo_term_in_fo_formula&#39;vc.1" expl="assertion" proved="true">
  <proof prover="0" timelimit="5"><result status="valid" time="0.05" steps="65"/></proof>
  </goal>
  <goal name="subst_base_fo_term_in_fo_formula&#39;vc.2" expl="assertion" proved="true">
  <proof prover="0" timelimit="5"><result status="valid" time="0.14" steps="15"/></proof>
  </goal>
  <goal name="subst_base_fo_term_in_fo_formula&#39;vc.3" expl="variant decrease" proved="true">
  <proof prover="0" timelimit="5"><result status="valid" time="0.06" steps="23"/></proof>
  </goal>
  <goal name="subst_base_fo_term_in_fo_formula&#39;vc.4" expl="precondition" proved="true">
  <proof prover="0" timelimit="5"><result status="valid" time="0.16" steps="16"/></proof>
  </goal>
  <goal name="subst_base_fo_term_in_fo_formula&#39;vc.5" expl="precondition" proved="true">
  <proof prover="0" timelimit="5"><result status="valid" time="0.14" steps="16"/></proof>
  </goal>
  <goal name="subst_base_fo_term_in_fo_formula&#39;vc.6" expl="precondition" proved="true">
  <proof prover="0" timelimit="5"><result status="valid" time="0.13" steps="16"/></proof>
  </goal>
  <goal name="subst_base_fo_term_in_fo_formula&#39;vc.7" expl="precondition" proved="true">
  <proof prover="0" timelimit="5"><result status="valid" time="0.15" steps="16"/></proof>
  </goal>
  <goal name="subst_base_fo_term_in_fo_formula&#39;vc.8" expl="assertion" proved="true">
  <proof prover="0" timelimit="5"><result status="valid" time="0.15" steps="13"/></proof>
  </goal>
  <goal name="subst_base_fo_term_in_fo_formula&#39;vc.9" expl="assertion" proved="true">
  <proof prover="0" timelimit="5"><result status="valid" time="0.14" steps="65"/></proof>
  </goal>
  <goal name="subst_base_fo_term_in_fo_formula&#39;vc.10" expl="assertion" proved="true">
  <proof prover="0" timelimit="5"><result status="valid" time="0.14" steps="15"/></proof>
  </goal>
  <goal name="subst_base_fo_term_in_fo_formula&#39;vc.11" expl="variant decrease" proved="true">
  <proof prover="0" timelimit="5"><result status="valid" time="0.15" steps="23"/></proof>
  </goal>
  <goal name="subst_base_fo_term_in_fo_formula&#39;vc.12" expl="precondition" proved="true">
  <proof prover="0" timelimit="5"><result status="valid" time="0.12" steps="16"/></proof>
  </goal>
  <goal name="subst_base_fo_term_in_fo_formula&#39;vc.13" expl="precondition" proved="true">
  <proof prover="0" timelimit="5"><result status="valid" time="0.13" steps="16"/></proof>
  </goal>
  <goal name="subst_base_fo_term_in_fo_formula&#39;vc.14" expl="precondition" proved="true">
  <proof prover="0" timelimit="5"><result status="valid" time="0.14" steps="16"/></proof>
  </goal>
  <goal name="subst_base_fo_term_in_fo_formula&#39;vc.15" expl="precondition" proved="true">
  <proof prover="0" timelimit="5"><result status="valid" time="0.12" steps="16"/></proof>
  </goal>
  <goal name="subst_base_fo_term_in_fo_formula&#39;vc.16" expl="assertion" proved="true">
  <proof prover="0" timelimit="5"><result status="valid" time="0.04" steps="13"/></proof>
  </goal>
  <goal name="subst_base_fo_term_in_fo_formula&#39;vc.17" expl="assertion" proved="true">
  <proof prover="0" timelimit="5"><result status="valid" time="0.06" steps="22"/></proof>
  </goal>
  <goal name="subst_base_fo_term_in_fo_formula&#39;vc.18" expl="assertion" proved="true">
  <proof prover="0" timelimit="5"><result status="valid" time="0.15" steps="15"/></proof>
  </goal>
  <goal name="subst_base_fo_term_in_fo_formula&#39;vc.19" expl="assertion" proved="true">
  <proof prover="0" timelimit="5"><result status="valid" time="0.07" steps="15"/></proof>
  </goal>
  <goal name="subst_base_fo_term_in_fo_formula&#39;vc.20" expl="assertion" proved="true">
  <proof prover="0" timelimit="5"><result status="valid" time="0.12" steps="15"/></proof>
  </goal>
  <goal name="subst_base_fo_term_in_fo_formula&#39;vc.21" expl="assertion" proved="true">
  <proof prover="0" timelimit="5"><result status="valid" time="0.14" steps="15"/></proof>
  </goal>
  <goal name="subst_base_fo_term_in_fo_formula&#39;vc.22" expl="variant decrease" proved="true">
  <proof prover="0" timelimit="5"><result status="valid" time="0.15" steps="93"/></proof>
  </goal>
  <goal name="subst_base_fo_term_in_fo_formula&#39;vc.23" expl="precondition" proved="true">
  <proof prover="0" timelimit="5"><result status="valid" time="0.13" steps="47"/></proof>
  </goal>
  <goal name="subst_base_fo_term_in_fo_formula&#39;vc.24" expl="precondition" proved="true">
  <proof prover="0" timelimit="5"><result status="valid" time="0.11" steps="16"/></proof>
  </goal>
  <goal name="subst_base_fo_term_in_fo_formula&#39;vc.25" expl="precondition" proved="true">
  <proof prover="0" timelimit="5"><result status="valid" time="0.14" steps="16"/></proof>
  </goal>
  <goal name="subst_base_fo_term_in_fo_formula&#39;vc.26" expl="precondition" proved="true">
  <proof prover="0" timelimit="5"><result status="valid" time="0.15" steps="16"/></proof>
  </goal>
  <goal name="subst_base_fo_term_in_fo_formula&#39;vc.27" expl="variant decrease" proved="true">
  <proof prover="0" timelimit="5"><result status="valid" time="0.15" steps="116"/></proof>
  </goal>
  <goal name="subst_base_fo_term_in_fo_formula&#39;vc.28" expl="precondition" proved="true">
  <proof prover="0" timelimit="5"><result status="valid" time="0.12" steps="65"/></proof>
  </goal>
  <goal name="subst_base_fo_term_in_fo_formula&#39;vc.29" expl="precondition" proved="true">
  <proof prover="0" timelimit="5"><result status="valid" time="0.15" steps="20"/></proof>
  </goal>
  <goal name="subst_base_fo_term_in_fo_formula&#39;vc.30" expl="precondition" proved="true">
  <proof prover="0" timelimit="5"><result status="valid" time="0.15" steps="20"/></proof>
  </goal>
  <goal name="subst_base_fo_term_in_fo_formula&#39;vc.31" expl="precondition" proved="true">
  <proof prover="0" timelimit="5"><result status="valid" time="0.15" steps="20"/></proof>
  </goal>
  <goal name="subst_base_fo_term_in_fo_formula&#39;vc.32" expl="assertion" proved="true">
  <proof prover="0" timelimit="5"><result status="valid" time="0.13" steps="13"/></proof>
  </goal>
  <goal name="subst_base_fo_term_in_fo_formula&#39;vc.33" expl="assertion" proved="true">
  <proof prover="0" timelimit="5"><result status="valid" time="0.13" steps="22"/></proof>
  </goal>
  <goal name="subst_base_fo_term_in_fo_formula&#39;vc.34" expl="assertion" proved="true">
  <proof prover="0" timelimit="5"><result status="valid" time="0.04" steps="15"/></proof>
  </goal>
  <goal name="subst_base_fo_term_in_fo_formula&#39;vc.35" expl="assertion" proved="true">
  <proof prover="0" timelimit="5"><result status="valid" time="0.12" steps="15"/></proof>
  </goal>
  <goal name="subst_base_fo_term_in_fo_formula&#39;vc.36" expl="assertion" proved="true">
  <proof prover="0" timelimit="5"><result status="valid" time="0.15" steps="15"/></proof>
  </goal>
  <goal name="subst_base_fo_term_in_fo_formula&#39;vc.37" expl="assertion" proved="true">
  <proof prover="0" timelimit="5"><result status="valid" time="0.12" steps="15"/></proof>
  </goal>
  <goal name="subst_base_fo_term_in_fo_formula&#39;vc.38" expl="variant decrease" proved="true">
  <proof prover="0" timelimit="5"><result status="valid" time="0.14" steps="93"/></proof>
  </goal>
  <goal name="subst_base_fo_term_in_fo_formula&#39;vc.39" expl="precondition" proved="true">
  <proof prover="0" timelimit="5"><result status="valid" time="0.14" steps="47"/></proof>
  </goal>
  <goal name="subst_base_fo_term_in_fo_formula&#39;vc.40" expl="precondition" proved="true">
  <proof prover="0" timelimit="5"><result status="valid" time="0.10" steps="16"/></proof>
  </goal>
  <goal name="subst_base_fo_term_in_fo_formula&#39;vc.41" expl="precondition" proved="true">
  <proof prover="0" timelimit="5"><result status="valid" time="0.14" steps="16"/></proof>
  </goal>
  <goal name="subst_base_fo_term_in_fo_formula&#39;vc.42" expl="precondition" proved="true">
  <proof prover="0" timelimit="5"><result status="valid" time="0.14" steps="16"/></proof>
  </goal>
  <goal name="subst_base_fo_term_in_fo_formula&#39;vc.43" expl="variant decrease" proved="true">
  <proof prover="0" timelimit="5"><result status="valid" time="0.14" steps="116"/></proof>
  </goal>
  <goal name="subst_base_fo_term_in_fo_formula&#39;vc.44" expl="precondition" proved="true">
  <proof prover="0" timelimit="5"><result status="valid" time="0.04" steps="65"/></proof>
  </goal>
  <goal name="subst_base_fo_term_in_fo_formula&#39;vc.45" expl="precondition" proved="true">
  <proof prover="0" timelimit="5"><result status="valid" time="0.06" steps="20"/></proof>
  </goal>
  <goal name="subst_base_fo_term_in_fo_formula&#39;vc.46" expl="precondition" proved="true">
  <proof prover="0" timelimit="5"><result status="valid" time="0.11" steps="20"/></proof>
  </goal>
  <goal name="subst_base_fo_term_in_fo_formula&#39;vc.47" expl="precondition" proved="true">
  <proof prover="0" timelimit="5"><result status="valid" time="0.16" steps="20"/></proof>
  </goal>
  <goal name="subst_base_fo_term_in_fo_formula&#39;vc.48" expl="assertion" proved="true">
  <proof prover="0" timelimit="5"><result status="valid" time="0.14" steps="13"/></proof>
  </goal>
  <goal name="subst_base_fo_term_in_fo_formula&#39;vc.49" expl="assertion" proved="true">
  <proof prover="0" timelimit="5"><result status="valid" time="0.12" steps="22"/></proof>
  </goal>
  <goal name="subst_base_fo_term_in_fo_formula&#39;vc.50" expl="assertion" proved="true">
  <proof prover="0" timelimit="5"><result status="valid" time="0.13" steps="15"/></proof>
  </goal>
  <goal name="subst_base_fo_term_in_fo_formula&#39;vc.51" expl="variant decrease" proved="true">
  <proof prover="0" timelimit="5"><result status="valid" time="0.15" steps="23"/></proof>
  </goal>
  <goal name="subst_base_fo_term_in_fo_formula&#39;vc.52" expl="precondition" proved="true">
  <proof prover="0" timelimit="5"><result status="valid" time="0.15" steps="16"/></proof>
  </goal>
  <goal name="subst_base_fo_term_in_fo_formula&#39;vc.53" expl="precondition" proved="true">
  <proof prover="0" timelimit="5"><result status="valid" time="0.14" steps="16"/></proof>
  </goal>
  <goal name="subst_base_fo_term_in_fo_formula&#39;vc.54" expl="precondition" proved="true">
  <proof prover="0" timelimit="5"><result status="valid" time="0.14" steps="16"/></proof>
  </goal>
  <goal name="subst_base_fo_term_in_fo_formula&#39;vc.55" expl="precondition" proved="true">
  <proof prover="0" timelimit="5"><result status="valid" time="0.14" steps="16"/></proof>
  </goal>
  <goal name="subst_base_fo_term_in_fo_formula&#39;vc.56" expl="assertion" proved="true">
  <proof prover="0" timelimit="5"><result status="valid" time="0.13" steps="13"/></proof>
  </goal>
  <goal name="subst_base_fo_term_in_fo_formula&#39;vc.57" expl="assertion" proved="true">
  <proof prover="0" timelimit="5"><result status="valid" time="0.14" steps="22"/></proof>
  </goal>
  <goal name="subst_base_fo_term_in_fo_formula&#39;vc.58" expl="assertion" proved="true">
  <proof prover="0" timelimit="5"><result status="valid" time="0.14" steps="15"/></proof>
  </goal>
  <goal name="subst_base_fo_term_in_fo_formula&#39;vc.59" expl="assertion" proved="true">
  <proof prover="0" timelimit="5"><result status="valid" time="0.13" steps="15"/></proof>
  </goal>
  <goal name="subst_base_fo_term_in_fo_formula&#39;vc.60" expl="assertion" proved="true">
  <proof prover="0" timelimit="5"><result status="valid" time="0.05" steps="15"/></proof>
  </goal>
  <goal name="subst_base_fo_term_in_fo_formula&#39;vc.61" expl="assertion" proved="true">
  <proof prover="0" timelimit="5"><result status="valid" time="0.15" steps="15"/></proof>
  </goal>
  <goal name="subst_base_fo_term_in_fo_formula&#39;vc.62" expl="precondition" proved="true">
  <proof prover="0" timelimit="5"><result status="valid" time="0.16" steps="39"/></proof>
  </goal>
  <goal name="subst_base_fo_term_in_fo_formula&#39;vc.63" expl="precondition" proved="true">
  <proof prover="0" timelimit="5"><result status="valid" time="0.14" steps="16"/></proof>
  </goal>
  <goal name="subst_base_fo_term_in_fo_formula&#39;vc.64" expl="precondition" proved="true">
  <proof prover="0" timelimit="5"><result status="valid" time="0.14" steps="16"/></proof>
  </goal>
  <goal name="subst_base_fo_term_in_fo_formula&#39;vc.65" expl="precondition" proved="true">
  <proof prover="0" timelimit="5"><result status="valid" time="0.04" steps="16"/></proof>
  </goal>
  <goal name="subst_base_fo_term_in_fo_formula&#39;vc.66" expl="postcondition" proved="true">
  <proof prover="0" timelimit="5"><result status="valid" time="0.17" steps="844"/></proof>
  </goal>
  <goal name="subst_base_fo_term_in_fo_formula&#39;vc.67" expl="postcondition" proved="true">
  <proof prover="0" timelimit="5"><result status="valid" time="0.23" steps="576"/></proof>
  </goal>
  <goal name="subst_base_fo_term_in_fo_formula&#39;vc.68" expl="postcondition" proved="true">
  <proof prover="0" timelimit="5"><result status="valid" time="0.14" steps="473"/></proof>
  </goal>
  <goal name="subst_base_fo_term_in_fo_formula&#39;vc.69" expl="postcondition" proved="true">
  <proof prover="0" timelimit="5"><result status="valid" time="0.16" steps="526"/></proof>
  </goal>
 </transf>
 </goal>
 <goal name="construct_fo_formula&#39;vc" expl="VC for construct_fo_formula" proved="true">
 <transf name="split_goal_right" proved="true" >
  <goal name="construct_fo_formula&#39;vc.0" expl="assertion" proved="true">
  <proof prover="0" timelimit="5"><result status="valid" time="0.10" steps="34"/></proof>
  </goal>
  <goal name="construct_fo_formula&#39;vc.1" expl="precondition" proved="true">
  <proof prover="0"><result status="valid" time="0.08" steps="11"/></proof>
  </goal>
  <goal name="construct_fo_formula&#39;vc.2" expl="precondition" proved="true">
  <proof prover="0"><result status="valid" time="0.08" steps="12"/></proof>
  </goal>
  <goal name="construct_fo_formula&#39;vc.3" expl="assertion" proved="true">
  <proof prover="0" timelimit="5"><result status="valid" time="0.08" steps="241"/></proof>
  </goal>
  <goal name="construct_fo_formula&#39;vc.4" expl="assertion" proved="true">
  <transf name="split_goal_right" proved="true" >
   <goal name="construct_fo_formula&#39;vc.4.0" expl="assertion" proved="true">
   <proof prover="0" timelimit="5"><result status="valid" time="0.06" steps="26"/></proof>
   </goal>
   <goal name="construct_fo_formula&#39;vc.4.1" expl="assertion" proved="true">
   <proof prover="0" timelimit="5"><result status="valid" time="0.06" steps="77"/></proof>
   </goal>
   <goal name="construct_fo_formula&#39;vc.4.2" expl="assertion" proved="true">
   <proof prover="0" timelimit="5"><result status="valid" time="0.11" steps="229"/></proof>
   </goal>
   <goal name="construct_fo_formula&#39;vc.4.3" expl="assertion" proved="true">
   <proof prover="0" timelimit="5"><result status="valid" time="0.05" steps="20"/></proof>
   </goal>
   <goal name="construct_fo_formula&#39;vc.4.4" expl="assertion" proved="true">
   <proof prover="0" timelimit="5"><result status="valid" time="0.07" steps="186"/></proof>
   </goal>
   <goal name="construct_fo_formula&#39;vc.4.5" expl="assertion" proved="true">
   <proof prover="0" timelimit="5"><result status="valid" time="0.06" steps="73"/></proof>
   </goal>
   <goal name="construct_fo_formula&#39;vc.4.6" expl="assertion" proved="true">
   <proof prover="0" timelimit="5"><result status="valid" time="0.04" steps="7"/></proof>
   </goal>
  </transf>
  </goal>
  <goal name="construct_fo_formula&#39;vc.5" expl="assertion" proved="true">
  <proof prover="0"><result status="valid" time="0.13" steps="24"/></proof>
  </goal>
  <goal name="construct_fo_formula&#39;vc.6" expl="assertion" proved="true">
  <proof prover="0"><result status="valid" time="0.15" steps="30"/></proof>
  </goal>
  <goal name="construct_fo_formula&#39;vc.7" expl="assertion" proved="true">
  <proof prover="0"><result status="valid" time="0.13" steps="15"/></proof>
  </goal>
  <goal name="construct_fo_formula&#39;vc.8" expl="assertion" proved="true">
  <proof prover="0"><result status="valid" time="0.14" steps="7"/></proof>
  </goal>
  <goal name="construct_fo_formula&#39;vc.9" expl="assertion" proved="true">
  <proof prover="0"><result status="valid" time="0.09" steps="323"/></proof>
  </goal>
  <goal name="construct_fo_formula&#39;vc.10" expl="assertion" proved="true">
  <proof prover="0"><result status="valid" time="0.13" steps="25"/></proof>
  </goal>
  <goal name="construct_fo_formula&#39;vc.11" expl="precondition" proved="true">
  <proof prover="0"><result status="valid" time="0.13" steps="7"/></proof>
  </goal>
  <goal name="construct_fo_formula&#39;vc.12" expl="precondition" proved="true">
  <proof prover="0"><result status="valid" time="0.11" steps="7"/></proof>
  </goal>
  <goal name="construct_fo_formula&#39;vc.13" expl="precondition" proved="true">
  <proof prover="0"><result status="valid" time="0.14" steps="20"/></proof>
  </goal>
  <goal name="construct_fo_formula&#39;vc.14" expl="precondition" proved="true">
  <proof prover="0"><result status="valid" time="0.14" steps="7"/></proof>
  </goal>
  <goal name="construct_fo_formula&#39;vc.15" expl="precondition" proved="true">
  <proof prover="0"><result status="valid" time="0.13" steps="18"/></proof>
  </goal>
  <goal name="construct_fo_formula&#39;vc.16" expl="assertion" proved="true">
  <proof prover="0" timelimit="5"><result status="valid" time="0.10" steps="34"/></proof>
  </goal>
  <goal name="construct_fo_formula&#39;vc.17" expl="precondition" proved="true">
  <proof prover="0" timelimit="5"><result status="valid" time="0.08" steps="11"/></proof>
  </goal>
  <goal name="construct_fo_formula&#39;vc.18" expl="precondition" proved="true">
  <proof prover="0"><result status="valid" time="0.07" steps="12"/></proof>
  </goal>
  <goal name="construct_fo_formula&#39;vc.19" expl="assertion" proved="true">
  <transf name="split_goal_right" proved="true" >
   <goal name="construct_fo_formula&#39;vc.19.0" expl="assertion" proved="true">
   <proof prover="0" timelimit="5"><result status="valid" time="0.14" steps="17"/></proof>
   </goal>
   <goal name="construct_fo_formula&#39;vc.19.1" expl="assertion" proved="true">
   <proof prover="0" timelimit="5"><result status="valid" time="0.05" steps="26"/></proof>
   </goal>
   <goal name="construct_fo_formula&#39;vc.19.2" expl="assertion" proved="true">
   <proof prover="0" timelimit="5"><result status="valid" time="0.12" steps="18"/></proof>
   </goal>
   <goal name="construct_fo_formula&#39;vc.19.3" expl="assertion" proved="true">
   <proof prover="0" timelimit="5"><result status="valid" time="0.06" steps="84"/></proof>
   </goal>
   <goal name="construct_fo_formula&#39;vc.19.4" expl="assertion" proved="true">
   <proof prover="0" timelimit="5"><result status="valid" time="0.13" steps="70"/></proof>
   </goal>
   <goal name="construct_fo_formula&#39;vc.19.5" expl="assertion" proved="true">
   <proof prover="0" timelimit="5"><result status="valid" time="0.14" steps="7"/></proof>
   </goal>
  </transf>
  </goal>
  <goal name="construct_fo_formula&#39;vc.20" expl="assertion" proved="true">
  <proof prover="0" timelimit="5"><result status="valid" time="1.34" steps="2624"/></proof>
  </goal>
  <goal name="construct_fo_formula&#39;vc.21" expl="assertion" proved="true">
  <proof prover="0"><result status="valid" time="0.13" steps="24"/></proof>
  </goal>
  <goal name="construct_fo_formula&#39;vc.22" expl="assertion" proved="true">
  <transf name="inline_goal" proved="true" >
   <goal name="construct_fo_formula&#39;vc.22.0" expl="assertion" proved="true">
   <transf name="split_goal_right" proved="true" >
    <goal name="construct_fo_formula&#39;vc.22.0.0" expl="assertion" proved="true">
    <proof prover="0" timelimit="5"><result status="valid" time="0.04" steps="17"/></proof>
    </goal>
    <goal name="construct_fo_formula&#39;vc.22.0.1" expl="assertion" proved="true">
    <proof prover="0" timelimit="5"><result status="valid" time="0.06" steps="84"/></proof>
    </goal>
   </transf>
   </goal>
  </transf>
  </goal>
  <goal name="construct_fo_formula&#39;vc.23" expl="assertion" proved="true">
  <proof prover="0"><result status="valid" time="0.12" steps="15"/></proof>
  </goal>
  <goal name="construct_fo_formula&#39;vc.24" expl="assertion" proved="true">
  <transf name="inline_goal" proved="true" >
   <goal name="construct_fo_formula&#39;vc.24.0" expl="assertion" proved="true">
   <transf name="split_goal_right" proved="true" >
   </transf>
   </goal>
  </transf>
  </goal>
  <goal name="construct_fo_formula&#39;vc.25" expl="assertion" proved="true">
  <proof prover="0"><result status="valid" time="0.12" steps="323"/></proof>
  </goal>
  <goal name="construct_fo_formula&#39;vc.26" expl="assertion" proved="true">
  <proof prover="0"><result status="valid" time="0.14" steps="25"/></proof>
  </goal>
  <goal name="construct_fo_formula&#39;vc.27" expl="precondition" proved="true">
  <proof prover="0"><result status="valid" time="0.14" steps="7"/></proof>
  </goal>
  <goal name="construct_fo_formula&#39;vc.28" expl="precondition" proved="true">
  <proof prover="0"><result status="valid" time="0.11" steps="7"/></proof>
  </goal>
  <goal name="construct_fo_formula&#39;vc.29" expl="precondition" proved="true">
  <proof prover="0"><result status="valid" time="0.06" steps="20"/></proof>
  </goal>
  <goal name="construct_fo_formula&#39;vc.30" expl="precondition" proved="true">
  <proof prover="0"><result status="valid" time="0.13" steps="7"/></proof>
  </goal>
  <goal name="construct_fo_formula&#39;vc.31" expl="precondition" proved="true">
  <proof prover="0"><result status="valid" time="0.11" steps="18"/></proof>
  </goal>
  <goal name="construct_fo_formula&#39;vc.32" expl="assertion" proved="true">
  <transf name="inline_goal" proved="true" >
   <goal name="construct_fo_formula&#39;vc.32.0" expl="assertion" proved="true">
   <transf name="split_goal_right" proved="true" >
    <goal name="construct_fo_formula&#39;vc.32.0.0" expl="VC for construct_fo_formula" proved="true">
    <proof prover="0" timelimit="5"><result status="valid" time="0.12" steps="253"/></proof>
    </goal>
    <goal name="construct_fo_formula&#39;vc.32.0.1" expl="VC for construct_fo_formula" proved="true">
    <proof prover="0" timelimit="5"><result status="valid" time="0.18" steps="324"/></proof>
    </goal>
    <goal name="construct_fo_formula&#39;vc.32.0.2" expl="VC for construct_fo_formula" proved="true">
    <proof prover="0" timelimit="5"><result status="valid" time="0.14" steps="463"/></proof>
    </goal>
    <goal name="construct_fo_formula&#39;vc.32.0.3" expl="VC for construct_fo_formula" proved="true">
    <proof prover="0" timelimit="5"><result status="valid" time="0.17" steps="351"/></proof>
    </goal>
    <goal name="construct_fo_formula&#39;vc.32.0.4" expl="VC for construct_fo_formula" proved="true">
    <proof prover="0" timelimit="5"><result status="valid" time="0.14" steps="355"/></proof>
    </goal>
    <goal name="construct_fo_formula&#39;vc.32.0.5" expl="VC for construct_fo_formula" proved="true">
    <proof prover="0" timelimit="5"><result status="valid" time="0.11" steps="355"/></proof>
    </goal>
   </transf>
   </goal>
  </transf>
  </goal>
  <goal name="construct_fo_formula&#39;vc.33" expl="assertion" proved="true">
  <proof prover="0"><result status="valid" time="0.14" steps="47"/></proof>
  </goal>
  <goal name="construct_fo_formula&#39;vc.34" expl="postcondition" proved="true">
  <proof prover="0" timelimit="5"><result status="valid" time="0.08" steps="30"/></proof>
  </goal>
  <goal name="construct_fo_formula&#39;vc.35" expl="postcondition" proved="true">
  <proof prover="0"><result status="valid" time="0.13" steps="32"/></proof>
  </goal>
  <goal name="construct_fo_formula&#39;vc.36" expl="assertion" proved="true">
  <proof prover="0"><result status="valid" time="0.14" steps="137"/></proof>
  </goal>
  <goal name="construct_fo_formula&#39;vc.37" expl="assertion" proved="true">
  <proof prover="0" timelimit="5"><result status="valid" time="0.15" steps="137"/></proof>
  </goal>
  <goal name="construct_fo_formula&#39;vc.38" expl="assertion" proved="true">
  <proof prover="0"><result status="valid" time="0.05" steps="137"/></proof>
  </goal>
  <goal name="construct_fo_formula&#39;vc.39" expl="assertion" proved="true">
  <proof prover="0" timelimit="5"><result status="valid" time="0.09" steps="137"/></proof>
  </goal>
  <goal name="construct_fo_formula&#39;vc.40" expl="assertion" proved="true">
  <transf name="split_vc" proved="true" >
   <goal name="construct_fo_formula&#39;vc.40.0" expl="assertion" proved="true">
   <proof prover="2"><result status="valid" time="0.31" steps="109143"/></proof>
   </goal>
   <goal name="construct_fo_formula&#39;vc.40.1" expl="assertion" proved="true">
   <proof prover="2"><result status="valid" time="0.28" steps="81382"/></proof>
   </goal>
  </transf>
  </goal>
  <goal name="construct_fo_formula&#39;vc.41" expl="assertion" proved="true">
  <proof prover="0"><result status="valid" time="0.13" steps="255"/></proof>
  </goal>
  <goal name="construct_fo_formula&#39;vc.42" expl="assertion" proved="true">
  <proof prover="0"><result status="valid" time="0.14" steps="16"/></proof>
  </goal>
  <goal name="construct_fo_formula&#39;vc.43" expl="assertion" proved="true">
  <proof prover="0" timelimit="5"><result status="valid" time="0.10" steps="7"/></proof>
  </goal>
  <goal name="construct_fo_formula&#39;vc.44" expl="assertion" proved="true">
  <proof prover="0"><result status="valid" time="0.14" steps="17"/></proof>
  </goal>
  <goal name="construct_fo_formula&#39;vc.45" expl="assertion" proved="true">
  <proof prover="0" timelimit="5"><result status="valid" time="0.10" steps="7"/></proof>
  </goal>
  <goal name="construct_fo_formula&#39;vc.46" expl="precondition" proved="true">
  <proof prover="0"><result status="valid" time="0.11" steps="7"/></proof>
  </goal>
  <goal name="construct_fo_formula&#39;vc.47" expl="precondition" proved="true">
  <transf name="inline_goal" proved="true" >
   <goal name="construct_fo_formula&#39;vc.47.0" expl="precondition" proved="true">
   <transf name="split_goal_right" proved="true" >
    <goal name="construct_fo_formula&#39;vc.47.0.0" expl="precondition" proved="true">
    <proof prover="0" timelimit="5"><result status="valid" time="0.04" steps="7"/></proof>
    </goal>
   </transf>
   </goal>
  </transf>
  </goal>
  <goal name="construct_fo_formula&#39;vc.48" expl="precondition" proved="true">
  <proof prover="0"><result status="valid" time="0.13" steps="7"/></proof>
  </goal>
  <goal name="construct_fo_formula&#39;vc.49" expl="precondition" proved="true">
  <proof prover="0"><result status="valid" time="0.08" steps="7"/></proof>
  </goal>
  <goal name="construct_fo_formula&#39;vc.50" expl="precondition" proved="true">
  <proof prover="0"><result status="valid" time="0.12" steps="18"/></proof>
  </goal>
  <goal name="construct_fo_formula&#39;vc.51" expl="assertion" proved="true">
  <proof prover="0"><result status="valid" time="0.12" steps="17"/></proof>
  </goal>
  <goal name="construct_fo_formula&#39;vc.52" expl="assertion" proved="true">
  <proof prover="0" timelimit="5"><result status="valid" time="0.08" steps="7"/></proof>
  </goal>
  <goal name="construct_fo_formula&#39;vc.53" expl="assertion" proved="true">
  <proof prover="0"><result status="valid" time="0.14" steps="17"/></proof>
  </goal>
  <goal name="construct_fo_formula&#39;vc.54" expl="assertion" proved="true">
  <proof prover="0"><result status="valid" time="0.14" steps="7"/></proof>
  </goal>
  <goal name="construct_fo_formula&#39;vc.55" expl="precondition" proved="true">
  <proof prover="0"><result status="valid" time="0.08" steps="7"/></proof>
  </goal>
  <goal name="construct_fo_formula&#39;vc.56" expl="precondition" proved="true">
  <proof prover="0"><result status="valid" time="0.13" steps="7"/></proof>
  </goal>
  <goal name="construct_fo_formula&#39;vc.57" expl="precondition" proved="true">
  <proof prover="0"><result status="valid" time="0.12" steps="7"/></proof>
  </goal>
  <goal name="construct_fo_formula&#39;vc.58" expl="precondition" proved="true">
  <proof prover="0"><result status="valid" time="0.14" steps="7"/></proof>
  </goal>
  <goal name="construct_fo_formula&#39;vc.59" expl="precondition" proved="true">
  <proof prover="0"><result status="valid" time="0.13" steps="18"/></proof>
  </goal>
  <goal name="construct_fo_formula&#39;vc.60" expl="assertion" proved="true">
  <proof prover="0"><result status="valid" time="0.12" steps="34"/></proof>
  </goal>
  <goal name="construct_fo_formula&#39;vc.61" expl="assertion" proved="true">
  <proof prover="0"><result status="valid" time="0.14" steps="47"/></proof>
  </goal>
  <goal name="construct_fo_formula&#39;vc.62" expl="postcondition" proved="true">
  <proof prover="0"><result status="valid" time="0.07" steps="30"/></proof>
  </goal>
  <goal name="construct_fo_formula&#39;vc.63" expl="postcondition" proved="true">
  <proof prover="0" timelimit="5"><result status="valid" time="0.08" steps="32"/></proof>
  </goal>
  <goal name="construct_fo_formula&#39;vc.64" expl="assertion" proved="true">
  <proof prover="0"><result status="valid" time="0.13" steps="137"/></proof>
  </goal>
  <goal name="construct_fo_formula&#39;vc.65" expl="assertion" proved="true">
  <proof prover="0"><result status="valid" time="0.09" steps="137"/></proof>
  </goal>
  <goal name="construct_fo_formula&#39;vc.66" expl="assertion" proved="true">
  <proof prover="0" timelimit="5"><result status="valid" time="0.07" steps="137"/></proof>
  </goal>
  <goal name="construct_fo_formula&#39;vc.67" expl="assertion" proved="true">
  <proof prover="0"><result status="valid" time="0.16" steps="137"/></proof>
  </goal>
  <goal name="construct_fo_formula&#39;vc.68" expl="assertion" proved="true">
  <transf name="split_vc" proved="true" >
   <goal name="construct_fo_formula&#39;vc.68.0" expl="assertion" proved="true">
   <proof prover="2"><result status="valid" time="0.35" steps="109143"/></proof>
   </goal>
   <goal name="construct_fo_formula&#39;vc.68.1" expl="assertion" proved="true">
   <proof prover="2"><result status="valid" time="0.28" steps="81382"/></proof>
   </goal>
  </transf>
  </goal>
  <goal name="construct_fo_formula&#39;vc.69" expl="assertion" proved="true">
  <proof prover="0"><result status="valid" time="0.13" steps="255"/></proof>
  </goal>
  <goal name="construct_fo_formula&#39;vc.70" expl="assertion" proved="true">
  <proof prover="0"><result status="valid" time="0.08" steps="16"/></proof>
  </goal>
  <goal name="construct_fo_formula&#39;vc.71" expl="assertion" proved="true">
  <proof prover="0" timelimit="5"><result status="valid" time="0.09" steps="7"/></proof>
  </goal>
  <goal name="construct_fo_formula&#39;vc.72" expl="assertion" proved="true">
  <proof prover="0" timelimit="5"><result status="valid" time="0.04" steps="17"/></proof>
  </goal>
  <goal name="construct_fo_formula&#39;vc.73" expl="assertion" proved="true">
  <proof prover="0" timelimit="5"><result status="valid" time="0.10" steps="7"/></proof>
  </goal>
  <goal name="construct_fo_formula&#39;vc.74" expl="precondition" proved="true">
  <proof prover="0" timelimit="30"><result status="valid" time="0.12" steps="7"/></proof>
  </goal>
  <goal name="construct_fo_formula&#39;vc.75" expl="precondition" proved="true">
  <proof prover="0" timelimit="5"><result status="valid" time="0.07" steps="7"/></proof>
  </goal>
  <goal name="construct_fo_formula&#39;vc.76" expl="precondition" proved="true">
  <proof prover="0"><result status="valid" time="0.13" steps="7"/></proof>
  </goal>
  <goal name="construct_fo_formula&#39;vc.77" expl="precondition" proved="true">
  <proof prover="0"><result status="valid" time="0.12" steps="7"/></proof>
  </goal>
  <goal name="construct_fo_formula&#39;vc.78" expl="precondition" proved="true">
  <proof prover="0"><result status="valid" time="0.13" steps="18"/></proof>
  </goal>
  <goal name="construct_fo_formula&#39;vc.79" expl="assertion" proved="true">
  <proof prover="0"><result status="valid" time="0.14" steps="17"/></proof>
  </goal>
  <goal name="construct_fo_formula&#39;vc.80" expl="assertion" proved="true">
  <proof prover="0" timelimit="5"><result status="valid" time="0.10" steps="7"/></proof>
  </goal>
  <goal name="construct_fo_formula&#39;vc.81" expl="assertion" proved="true">
  <proof prover="0"><result status="valid" time="0.12" steps="17"/></proof>
  </goal>
  <goal name="construct_fo_formula&#39;vc.82" expl="assertion" proved="true">
  <proof prover="0"><result status="valid" time="0.11" steps="7"/></proof>
  </goal>
  <goal name="construct_fo_formula&#39;vc.83" expl="precondition" proved="true">
  <proof prover="0"><result status="valid" time="0.12" steps="7"/></proof>
  </goal>
  <goal name="construct_fo_formula&#39;vc.84" expl="precondition" proved="true">
  <proof prover="0"><result status="valid" time="0.14" steps="7"/></proof>
  </goal>
  <goal name="construct_fo_formula&#39;vc.85" expl="precondition" proved="true">
  <proof prover="0"><result status="valid" time="0.04" steps="7"/></proof>
  </goal>
  <goal name="construct_fo_formula&#39;vc.86" expl="precondition" proved="true">
  <proof prover="0"><result status="valid" time="0.12" steps="7"/></proof>
  </goal>
  <goal name="construct_fo_formula&#39;vc.87" expl="precondition" proved="true">
  <proof prover="0"><result status="valid" time="0.13" steps="18"/></proof>
  </goal>
  <goal name="construct_fo_formula&#39;vc.88" expl="assertion" proved="true">
  <proof prover="0"><result status="valid" time="0.13" steps="10"/></proof>
  </goal>
  <goal name="construct_fo_formula&#39;vc.89" expl="assertion" proved="true">
  <proof prover="0"><result status="valid" time="0.13" steps="96"/></proof>
  </goal>
  <goal name="construct_fo_formula&#39;vc.90" expl="assertion" proved="true">
  <proof prover="0"><result status="valid" time="0.12" steps="96"/></proof>
  </goal>
  <goal name="construct_fo_formula&#39;vc.91" expl="assertion" proved="true">
  <proof prover="0"><result status="valid" time="0.14" steps="20"/></proof>
  </goal>
  <goal name="construct_fo_formula&#39;vc.92" expl="assertion" proved="true">
  <proof prover="0"><result status="valid" time="0.14" steps="20"/></proof>
  </goal>
  <goal name="construct_fo_formula&#39;vc.93" expl="assertion" proved="true">
  <proof prover="0"><result status="valid" time="0.12" steps="11"/></proof>
  </goal>
  <goal name="construct_fo_formula&#39;vc.94" expl="assertion" proved="true">
  <proof prover="0"><result status="valid" time="0.11" steps="7"/></proof>
  </goal>
  <goal name="construct_fo_formula&#39;vc.95" expl="assertion" proved="true">
  <proof prover="0"><result status="valid" time="0.14" steps="12"/></proof>
  </goal>
  <goal name="construct_fo_formula&#39;vc.96" expl="assertion" proved="true">
  <proof prover="2"><result status="valid" time="0.14" steps="74063"/></proof>
  </goal>
  <goal name="construct_fo_formula&#39;vc.97" expl="precondition" proved="true">
  <proof prover="0"><result status="valid" time="0.13" steps="7"/></proof>
  </goal>
  <goal name="construct_fo_formula&#39;vc.98" expl="precondition" proved="true">
  <proof prover="0"><result status="valid" time="0.05" steps="7"/></proof>
  </goal>
  <goal name="construct_fo_formula&#39;vc.99" expl="precondition" proved="true">
  <proof prover="0"><result status="valid" time="0.13" steps="7"/></proof>
  </goal>
  <goal name="construct_fo_formula&#39;vc.100" expl="precondition" proved="true">
  <proof prover="0"><result status="valid" time="0.13" steps="7"/></proof>
  </goal>
  <goal name="construct_fo_formula&#39;vc.101" expl="precondition" proved="true">
  <proof prover="0"><result status="valid" time="0.12" steps="13"/></proof>
  </goal>
  <goal name="construct_fo_formula&#39;vc.102" expl="assertion" proved="true">
  <proof prover="0"><result status="valid" time="0.07" steps="10"/></proof>
  </goal>
  <goal name="construct_fo_formula&#39;vc.103" expl="assertion" proved="true">
  <transf name="split_goal_right" proved="true" >
   <goal name="construct_fo_formula&#39;vc.103.0" expl="assertion" proved="true">
   <proof prover="0" timelimit="5"><result status="valid" time="0.06" steps="10"/></proof>
   </goal>
  </transf>
  </goal>
  <goal name="construct_fo_formula&#39;vc.104" expl="assertion" proved="true">
  <transf name="split_goal_right" proved="true" >
   <goal name="construct_fo_formula&#39;vc.104.0" expl="assertion" proved="true">
   <proof prover="0" timelimit="5"><result status="valid" time="0.14" steps="10"/></proof>
   </goal>
  </transf>
  </goal>
  <goal name="construct_fo_formula&#39;vc.105" expl="assertion" proved="true">
  <proof prover="0"><result status="valid" time="0.13" steps="10"/></proof>
  </goal>
  <goal name="construct_fo_formula&#39;vc.106" expl="assertion" proved="true">
  <proof prover="0"><result status="valid" time="0.13" steps="25"/></proof>
  </goal>
  <goal name="construct_fo_formula&#39;vc.107" expl="assertion" proved="true">
  <proof prover="0"><result status="valid" time="0.07" steps="39"/></proof>
  </goal>
  <goal name="construct_fo_formula&#39;vc.108" expl="postcondition" proved="true">
  <proof prover="0"><result status="valid" time="0.15" steps="28"/></proof>
  </goal>
  <goal name="construct_fo_formula&#39;vc.109" expl="assertion" proved="true">
  <proof prover="10"><result status="valid" time="0.37"/></proof>
  </goal>
  <goal name="construct_fo_formula&#39;vc.110" expl="assertion" proved="true">
  <proof prover="0"><result status="valid" time="0.16" steps="68"/></proof>
  </goal>
  <goal name="construct_fo_formula&#39;vc.111" expl="assertion" proved="true">
  <proof prover="0"><result status="valid" time="0.14" steps="67"/></proof>
  </goal>
  <goal name="construct_fo_formula&#39;vc.112" expl="assertion" proved="true">
  <proof prover="0"><result status="valid" time="0.07" steps="199"/></proof>
  </goal>
  <goal name="construct_fo_formula&#39;vc.113" expl="assertion" proved="true">
  <proof prover="0"><result status="valid" time="0.06" steps="107"/></proof>
  </goal>
  <goal name="construct_fo_formula&#39;vc.114" expl="assertion" proved="true">
  <proof prover="0"><result status="valid" time="0.13" steps="14"/></proof>
  </goal>
  <goal name="construct_fo_formula&#39;vc.115" expl="assertion" proved="true">
  <proof prover="0" timelimit="5"><result status="valid" time="0.11" steps="7"/></proof>
  </goal>
  <goal name="construct_fo_formula&#39;vc.116" expl="precondition" proved="true">
  <proof prover="0"><result status="valid" time="0.14" steps="7"/></proof>
  </goal>
  <goal name="construct_fo_formula&#39;vc.117" expl="precondition" proved="true">
  <proof prover="0"><result status="valid" time="0.15" steps="7"/></proof>
  </goal>
  <goal name="construct_fo_formula&#39;vc.118" expl="precondition" proved="true">
  <proof prover="0"><result status="valid" time="0.10" steps="15"/></proof>
  </goal>
  <goal name="construct_fo_formula&#39;vc.119" expl="assertion" proved="true">
  <proof prover="0" timelimit="5"><result status="valid" time="0.05" steps="7"/></proof>
  </goal>
  <goal name="construct_fo_formula&#39;vc.120" expl="assertion" proved="true">
  <proof prover="0"><result status="valid" time="0.13" steps="7"/></proof>
  </goal>
  <goal name="construct_fo_formula&#39;vc.121" expl="assertion" proved="true">
  <proof prover="0"><result status="valid" time="0.06" steps="15"/></proof>
  </goal>
  <goal name="construct_fo_formula&#39;vc.122" expl="assertion" proved="true">
  <proof prover="0"><result status="valid" time="0.10" steps="7"/></proof>
  </goal>
  <goal name="construct_fo_formula&#39;vc.123" expl="precondition" proved="true">
  <proof prover="0"><result status="valid" time="0.13" steps="7"/></proof>
  </goal>
  <goal name="construct_fo_formula&#39;vc.124" expl="precondition" proved="true">
  <proof prover="0"><result status="valid" time="0.13" steps="7"/></proof>
  </goal>
  <goal name="construct_fo_formula&#39;vc.125" expl="precondition" proved="true">
  <proof prover="0"><result status="valid" time="0.14" steps="7"/></proof>
  </goal>
  <goal name="construct_fo_formula&#39;vc.126" expl="precondition" proved="true">
  <transf name="split_goal_right" proved="true" >
  </transf>
  </goal>
  <goal name="construct_fo_formula&#39;vc.127" expl="precondition" proved="true">
  <proof prover="0"><result status="valid" time="0.11" steps="16"/></proof>
  </goal>
  <goal name="construct_fo_formula&#39;vc.128" expl="postcondition" proved="true">
  <proof prover="0"><result status="valid" time="1.31" steps="6962"/></proof>
  </goal>
  <goal name="construct_fo_formula&#39;vc.129" expl="postcondition" proved="true">
  <proof prover="0"><result status="valid" time="0.76" steps="4771"/></proof>
  </goal>
 </transf>
 </goal>
 <goal name="destruct_fo_formula&#39;vc" expl="VC for destruct_fo_formula" proved="true">
 <transf name="split_goal_right" proved="true" >
  <goal name="destruct_fo_formula&#39;vc.0" expl="postcondition" proved="true">
  <proof prover="0"><result status="valid" time="0.14" steps="20"/></proof>
  </goal>
  <goal name="destruct_fo_formula&#39;vc.1" expl="assertion" proved="true">
  <proof prover="0" timelimit="5"><result status="valid" time="0.12" steps="20"/></proof>
  </goal>
  <goal name="destruct_fo_formula&#39;vc.2" expl="assertion" proved="true">
  <proof prover="0"><result status="valid" time="0.08" steps="22"/></proof>
  </goal>
  <goal name="destruct_fo_formula&#39;vc.3" expl="assertion" proved="true">
  <proof prover="0"><result status="valid" time="0.07" steps="23"/></proof>
  </goal>
  <goal name="destruct_fo_formula&#39;vc.4" expl="assertion" proved="true">
  <proof prover="0"><result status="valid" time="0.14" steps="126"/></proof>
  </goal>
  <goal name="destruct_fo_formula&#39;vc.5" expl="assertion" proved="true">
  <proof prover="0"><result status="valid" time="0.15" steps="145"/></proof>
  </goal>
  <goal name="destruct_fo_formula&#39;vc.6" expl="assertion" proved="true">
  <proof prover="0"><result status="valid" time="0.14" steps="27"/></proof>
  </goal>
  <goal name="destruct_fo_formula&#39;vc.7" expl="assertion" proved="true">
  <transf name="split_goal_right" proved="true" >
   <goal name="destruct_fo_formula&#39;vc.7.0" expl="VC for destruct_fo_formula" proved="true">
   <proof prover="0" timelimit="5"><result status="valid" time="0.14" steps="25"/></proof>
   </goal>
   <goal name="destruct_fo_formula&#39;vc.7.1" expl="VC for destruct_fo_formula" proved="true">
   <proof prover="0" timelimit="5"><result status="valid" time="0.07" steps="106"/></proof>
   </goal>
  </transf>
  </goal>
  <goal name="destruct_fo_formula&#39;vc.8" expl="precondition" proved="true">
  <proof prover="0"><result status="valid" time="0.14" steps="18"/></proof>
  </goal>
  <goal name="destruct_fo_formula&#39;vc.9" expl="precondition" proved="true">
  <proof prover="0"><result status="valid" time="0.13" steps="31"/></proof>
  </goal>
  <goal name="destruct_fo_formula&#39;vc.10" expl="precondition" proved="true">
  <proof prover="0"><result status="valid" time="0.13" steps="21"/></proof>
  </goal>
  <goal name="destruct_fo_formula&#39;vc.11" expl="precondition" proved="true">
  <proof prover="0"><result status="valid" time="0.16" steps="112"/></proof>
  </goal>
  <goal name="destruct_fo_formula&#39;vc.12" expl="precondition" proved="true">
  <proof prover="0"><result status="valid" time="0.10" steps="29"/></proof>
  </goal>
  <goal name="destruct_fo_formula&#39;vc.13" expl="precondition" proved="true">
  <proof prover="0"><result status="valid" time="0.14" steps="19"/></proof>
  </goal>
  <goal name="destruct_fo_formula&#39;vc.14" expl="precondition" proved="true">
  <proof prover="0"><result status="valid" time="0.14" steps="29"/></proof>
  </goal>
  <goal name="destruct_fo_formula&#39;vc.15" expl="precondition" proved="true">
  <proof prover="0"><result status="valid" time="0.14" steps="21"/></proof>
  </goal>
  <goal name="destruct_fo_formula&#39;vc.16" expl="precondition" proved="true">
  <proof prover="0"><result status="valid" time="0.15" steps="27"/></proof>
  </goal>
  <goal name="destruct_fo_formula&#39;vc.17" expl="precondition" proved="true">
  <proof prover="0"><result status="valid" time="0.13" steps="32"/></proof>
  </goal>
  <goal name="destruct_fo_formula&#39;vc.18" expl="precondition" proved="true">
  <proof prover="0"><result status="valid" time="0.14" steps="33"/></proof>
  </goal>
  <goal name="destruct_fo_formula&#39;vc.19" expl="assertion" proved="true">
  <transf name="split_goal_right" proved="true" >
   <goal name="destruct_fo_formula&#39;vc.19.0" expl="assertion" proved="true">
   <proof prover="0" timelimit="5"><result status="valid" time="0.06" steps="34"/></proof>
   </goal>
   <goal name="destruct_fo_formula&#39;vc.19.1" expl="assertion" proved="true">
   <proof prover="0" timelimit="5"><result status="valid" time="0.14" steps="36"/></proof>
   </goal>
   <goal name="destruct_fo_formula&#39;vc.19.2" expl="assertion" proved="true">
   <proof prover="0" timelimit="5"><result status="valid" time="0.10" steps="133"/></proof>
   </goal>
   <goal name="destruct_fo_formula&#39;vc.19.3" expl="assertion" proved="true">
   <proof prover="0" timelimit="5"><result status="valid" time="0.08" steps="38"/></proof>
   </goal>
   <goal name="destruct_fo_formula&#39;vc.19.4" expl="assertion" proved="true">
   <proof prover="0" timelimit="5"><result status="valid" time="0.09" steps="141"/></proof>
   </goal>
  </transf>
  </goal>
  <goal name="destruct_fo_formula&#39;vc.20" expl="precondition" proved="true">
  <proof prover="0"><result status="valid" time="0.16" steps="33"/></proof>
  </goal>
  <goal name="destruct_fo_formula&#39;vc.21" expl="precondition" proved="true">
  <proof prover="0"><result status="valid" time="0.05" steps="142"/></proof>
  </goal>
  <goal name="destruct_fo_formula&#39;vc.22" expl="assertion" proved="true">
  <transf name="split_vc" proved="true" >
   <goal name="destruct_fo_formula&#39;vc.22.0" expl="assertion" proved="true">
   <proof prover="2"><result status="valid" time="0.34" steps="86498"/></proof>
   </goal>
   <goal name="destruct_fo_formula&#39;vc.22.1" expl="assertion" proved="true">
   <proof prover="2"><result status="valid" time="0.33" steps="90273"/></proof>
   </goal>
   <goal name="destruct_fo_formula&#39;vc.22.2" expl="assertion" proved="true">
   <proof prover="2"><result status="valid" time="0.46" steps="110148"/></proof>
   </goal>
   <goal name="destruct_fo_formula&#39;vc.22.3" expl="assertion" proved="true">
   <transf name="split_all_full" proved="true" >
    <goal name="destruct_fo_formula&#39;vc.22.3.0" expl="assertion" proved="true">
    <proof prover="2"><result status="valid" time="0.45" steps="113677"/></proof>
    </goal>
   </transf>
   </goal>
  </transf>
  </goal>
  <goal name="destruct_fo_formula&#39;vc.23" expl="assertion" proved="true">
  <proof prover="0" timelimit="5"><result status="valid" time="3.12" steps="3265"/></proof>
  </goal>
  <goal name="destruct_fo_formula&#39;vc.24" expl="unreachable point" proved="true">
  <proof prover="0" timelimit="5"><result status="valid" time="0.14" steps="23"/></proof>
  </goal>
  <goal name="destruct_fo_formula&#39;vc.25" expl="unreachable point" proved="true">
  <proof prover="0"><result status="valid" time="0.08" steps="25"/></proof>
  </goal>
  <goal name="destruct_fo_formula&#39;vc.26" expl="unreachable point" proved="true">
  <proof prover="0" timelimit="5"><result status="valid" time="0.14" steps="25"/></proof>
  </goal>
  <goal name="destruct_fo_formula&#39;vc.27" expl="unreachable point" proved="true">
  <proof prover="0" timelimit="5"><result status="valid" time="0.13" steps="23"/></proof>
  </goal>
  <goal name="destruct_fo_formula&#39;vc.28" expl="unreachable point" proved="true">
  <proof prover="0"><result status="valid" time="0.09" steps="24"/></proof>
  </goal>
  <goal name="destruct_fo_formula&#39;vc.29" expl="unreachable point" proved="true">
  <proof prover="0" timelimit="5"><result status="valid" time="0.14" steps="24"/></proof>
  </goal>
  <goal name="destruct_fo_formula&#39;vc.30" expl="unreachable point" proved="true">
  <proof prover="0" timelimit="5"><result status="valid" time="0.14" steps="25"/></proof>
  </goal>
  <goal name="destruct_fo_formula&#39;vc.31" expl="postcondition" proved="true">
  <proof prover="0"><result status="valid" time="0.14" steps="20"/></proof>
  </goal>
  <goal name="destruct_fo_formula&#39;vc.32" expl="assertion" proved="true">
  <proof prover="0" timelimit="5"><result status="valid" time="0.12" steps="20"/></proof>
  </goal>
  <goal name="destruct_fo_formula&#39;vc.33" expl="unreachable point" proved="true">
  <proof prover="0"><result status="valid" time="0.16" steps="23"/></proof>
  </goal>
  <goal name="destruct_fo_formula&#39;vc.34" expl="assertion" proved="true">
  <proof prover="0"><result status="valid" time="0.07" steps="22"/></proof>
  </goal>
  <goal name="destruct_fo_formula&#39;vc.35" expl="assertion" proved="true">
  <proof prover="0"><result status="valid" time="0.10" steps="23"/></proof>
  </goal>
  <goal name="destruct_fo_formula&#39;vc.36" expl="assertion" proved="true">
  <proof prover="0"><result status="valid" time="0.14" steps="126"/></proof>
  </goal>
  <goal name="destruct_fo_formula&#39;vc.37" expl="assertion" proved="true">
  <proof prover="0"><result status="valid" time="0.06" steps="145"/></proof>
  </goal>
  <goal name="destruct_fo_formula&#39;vc.38" expl="assertion" proved="true">
  <proof prover="0"><result status="valid" time="0.14" steps="27"/></proof>
  </goal>
  <goal name="destruct_fo_formula&#39;vc.39" expl="assertion" proved="true">
  <transf name="split_goal_right" proved="true" >
   <goal name="destruct_fo_formula&#39;vc.39.0" expl="VC for destruct_fo_formula" proved="true">
   <proof prover="0" timelimit="5"><result status="valid" time="0.12" steps="25"/></proof>
   </goal>
   <goal name="destruct_fo_formula&#39;vc.39.1" expl="VC for destruct_fo_formula" proved="true">
   <proof prover="0" timelimit="5"><result status="valid" time="0.14" steps="106"/></proof>
   </goal>
  </transf>
  </goal>
  <goal name="destruct_fo_formula&#39;vc.40" expl="precondition" proved="true">
  <proof prover="0"><result status="valid" time="0.12" steps="18"/></proof>
  </goal>
  <goal name="destruct_fo_formula&#39;vc.41" expl="precondition" proved="true">
  <proof prover="0"><result status="valid" time="0.15" steps="31"/></proof>
  </goal>
  <goal name="destruct_fo_formula&#39;vc.42" expl="precondition" proved="true">
  <proof prover="0"><result status="valid" time="0.14" steps="21"/></proof>
  </goal>
  <goal name="destruct_fo_formula&#39;vc.43" expl="precondition" proved="true">
  <proof prover="0"><result status="valid" time="0.15" steps="112"/></proof>
  </goal>
  <goal name="destruct_fo_formula&#39;vc.44" expl="precondition" proved="true">
  <proof prover="0"><result status="valid" time="0.10" steps="29"/></proof>
  </goal>
  <goal name="destruct_fo_formula&#39;vc.45" expl="precondition" proved="true">
  <proof prover="0"><result status="valid" time="0.14" steps="19"/></proof>
  </goal>
  <goal name="destruct_fo_formula&#39;vc.46" expl="precondition" proved="true">
  <proof prover="0"><result status="valid" time="0.15" steps="29"/></proof>
  </goal>
  <goal name="destruct_fo_formula&#39;vc.47" expl="precondition" proved="true">
  <proof prover="0"><result status="valid" time="0.14" steps="21"/></proof>
  </goal>
  <goal name="destruct_fo_formula&#39;vc.48" expl="precondition" proved="true">
  <proof prover="0"><result status="valid" time="0.12" steps="27"/></proof>
  </goal>
  <goal name="destruct_fo_formula&#39;vc.49" expl="precondition" proved="true">
  <proof prover="0"><result status="valid" time="0.14" steps="32"/></proof>
  </goal>
  <goal name="destruct_fo_formula&#39;vc.50" expl="precondition" proved="true">
  <proof prover="0"><result status="valid" time="0.16" steps="33"/></proof>
  </goal>
  <goal name="destruct_fo_formula&#39;vc.51" expl="assertion" proved="true">
  <transf name="split_goal_right" proved="true" >
   <goal name="destruct_fo_formula&#39;vc.51.0" expl="assertion" proved="true">
   <proof prover="0" timelimit="5"><result status="valid" time="0.06" steps="34"/></proof>
   </goal>
   <goal name="destruct_fo_formula&#39;vc.51.1" expl="assertion" proved="true">
   <proof prover="0" timelimit="5"><result status="valid" time="0.12" steps="36"/></proof>
   </goal>
   <goal name="destruct_fo_formula&#39;vc.51.2" expl="assertion" proved="true">
   <proof prover="0" timelimit="5"><result status="valid" time="0.10" steps="133"/></proof>
   </goal>
   <goal name="destruct_fo_formula&#39;vc.51.3" expl="assertion" proved="true">
   <proof prover="0" timelimit="5"><result status="valid" time="0.06" steps="38"/></proof>
   </goal>
   <goal name="destruct_fo_formula&#39;vc.51.4" expl="assertion" proved="true">
   <proof prover="0" timelimit="5"><result status="valid" time="0.10" steps="141"/></proof>
   </goal>
  </transf>
  </goal>
  <goal name="destruct_fo_formula&#39;vc.52" expl="precondition" proved="true">
  <proof prover="0"><result status="valid" time="0.14" steps="33"/></proof>
  </goal>
  <goal name="destruct_fo_formula&#39;vc.53" expl="precondition" proved="true">
  <proof prover="0"><result status="valid" time="0.14" steps="142"/></proof>
  </goal>
  <goal name="destruct_fo_formula&#39;vc.54" expl="assertion" proved="true">
  <transf name="split_goal_right" proved="true" >
   <goal name="destruct_fo_formula&#39;vc.54.0" expl="assertion" proved="true">
   <proof prover="0" timelimit="5"><result status="valid" time="0.11" steps="36"/></proof>
   </goal>
   <goal name="destruct_fo_formula&#39;vc.54.1" expl="assertion" proved="true">
   <proof prover="0" timelimit="5"><result status="valid" time="0.05" steps="37"/></proof>
   </goal>
   <goal name="destruct_fo_formula&#39;vc.54.2" expl="assertion" proved="true">
   <proof prover="0" timelimit="5"><result status="valid" time="0.13" steps="129"/></proof>
   </goal>
   <goal name="destruct_fo_formula&#39;vc.54.3" expl="assertion" proved="true">
   <proof prover="0" timelimit="5"><result status="valid" time="0.06" steps="346"/></proof>
   </goal>
  </transf>
  </goal>
  <goal name="destruct_fo_formula&#39;vc.55" expl="assertion" proved="true">
  <proof prover="0" timelimit="5"><result status="valid" time="3.17" steps="3265"/></proof>
  </goal>
  <goal name="destruct_fo_formula&#39;vc.56" expl="unreachable point" proved="true">
  <proof prover="0" timelimit="5"><result status="valid" time="0.12" steps="25"/></proof>
  </goal>
  <goal name="destruct_fo_formula&#39;vc.57" expl="unreachable point" proved="true">
  <proof prover="0"><result status="valid" time="0.05" steps="25"/></proof>
  </goal>
  <goal name="destruct_fo_formula&#39;vc.58" expl="unreachable point" proved="true">
  <proof prover="0"><result status="valid" time="0.16" steps="23"/></proof>
  </goal>
  <goal name="destruct_fo_formula&#39;vc.59" expl="unreachable point" proved="true">
  <proof prover="0"><result status="valid" time="0.08" steps="24"/></proof>
  </goal>
  <goal name="destruct_fo_formula&#39;vc.60" expl="unreachable point" proved="true">
  <proof prover="0"><result status="valid" time="0.08" steps="24"/></proof>
  </goal>
  <goal name="destruct_fo_formula&#39;vc.61" expl="unreachable point" proved="true">
  <proof prover="0"><result status="valid" time="0.04" steps="25"/></proof>
  </goal>
  <goal name="destruct_fo_formula&#39;vc.62" expl="assertion" proved="true">
  <proof prover="0"><result status="valid" time="0.13" steps="18"/></proof>
  </goal>
  <goal name="destruct_fo_formula&#39;vc.63" expl="unreachable point" proved="true">
  <proof prover="0" timelimit="5"><result status="valid" time="0.15" steps="21"/></proof>
  </goal>
  <goal name="destruct_fo_formula&#39;vc.64" expl="unreachable point" proved="true">
  <proof prover="0"><result status="valid" time="0.09" steps="21"/></proof>
  </goal>
  <goal name="destruct_fo_formula&#39;vc.65" expl="assertion" proved="true">
  <proof prover="0"><result status="valid" time="0.15" steps="20"/></proof>
  </goal>
  <goal name="destruct_fo_formula&#39;vc.66" expl="assertion" proved="true">
  <proof prover="0"><result status="valid" time="0.15" steps="21"/></proof>
  </goal>
  <goal name="destruct_fo_formula&#39;vc.67" expl="assertion" proved="true">
  <proof prover="0"><result status="valid" time="0.13" steps="280"/></proof>
  </goal>
  <goal name="destruct_fo_formula&#39;vc.68" expl="assertion" proved="true">
  <proof prover="0"><result status="valid" time="0.13" steps="25"/></proof>
  </goal>
  <goal name="destruct_fo_formula&#39;vc.69" expl="assertion" proved="true">
  <proof prover="0"><result status="valid" time="0.13" steps="237"/></proof>
  </goal>
  <goal name="destruct_fo_formula&#39;vc.70" expl="assertion" proved="true">
  <proof prover="0"><result status="valid" time="0.15" steps="26"/></proof>
  </goal>
  <goal name="destruct_fo_formula&#39;vc.71" expl="assertion" proved="true">
  <proof prover="0"><result status="valid" time="0.13" steps="370"/></proof>
  </goal>
  <goal name="destruct_fo_formula&#39;vc.72" expl="assertion" proved="true">
  <proof prover="0"><result status="valid" time="0.16" steps="28"/></proof>
  </goal>
  <goal name="destruct_fo_formula&#39;vc.73" expl="assertion" proved="true">
  <proof prover="0"><result status="valid" time="0.14" steps="379"/></proof>
  </goal>
  <goal name="destruct_fo_formula&#39;vc.74" expl="assertion" proved="true">
  <proof prover="0"><result status="valid" time="0.14" steps="29"/></proof>
  </goal>
  <goal name="destruct_fo_formula&#39;vc.75" expl="precondition" proved="true">
  <proof prover="0"><result status="valid" time="0.12" steps="17"/></proof>
  </goal>
  <goal name="destruct_fo_formula&#39;vc.76" expl="precondition" proved="true">
  <proof prover="0"><result status="valid" time="0.15" steps="30"/></proof>
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  <proof prover="0"><result status="valid" time="0.13" steps="18"/></proof>
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  <proof prover="0"><result status="valid" time="0.10" steps="31"/></proof>
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  <proof prover="0"><result status="valid" time="0.07" steps="97"/></proof>
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  <proof prover="0"><result status="valid" time="0.14" steps="18"/></proof>
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  <proof prover="0"><result status="valid" time="0.13" steps="29"/></proof>
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  <proof prover="0"><result status="valid" time="0.14" steps="19"/></proof>
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  <proof prover="0"><result status="valid" time="0.13" steps="30"/></proof>
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  <proof prover="0"><result status="valid" time="0.13" steps="104"/></proof>
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  <proof prover="0"><result status="valid" time="0.15" steps="29"/></proof>
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  <proof prover="0"><result status="valid" time="0.16" steps="29"/></proof>
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  <proof prover="0"><result status="valid" time="0.16" steps="30"/></proof>
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  <proof prover="0"><result status="valid" time="0.04" steps="30"/></proof>
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  <proof prover="0"><result status="valid" time="0.12" steps="145"/></proof>
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  <proof prover="0"><result status="valid" time="0.10" steps="145"/></proof>
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  <proof prover="0"><result status="valid" time="0.08" steps="147"/></proof>
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  <proof prover="0"><result status="valid" time="0.10" steps="147"/></proof>
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  <proof prover="0"><result status="valid" time="0.08" steps="23"/></proof>
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  <proof prover="0" timelimit="5"><result status="valid" time="0.13" steps="21"/></proof>
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  <proof prover="0"><result status="valid" time="0.05" steps="22"/></proof>
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  <proof prover="0"><result status="valid" time="0.05" steps="22"/></proof>
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  <proof prover="0" timelimit="5"><result status="valid" time="0.15" steps="23"/></proof>
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  <proof prover="0" timelimit="5"><result status="valid" time="0.14" steps="18"/></proof>
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  <proof prover="0" timelimit="5"><result status="valid" time="0.15" steps="21"/></proof>
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  <proof prover="0"><result status="valid" time="0.05" steps="21"/></proof>
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  <proof prover="0"><result status="valid" time="0.05" steps="23"/></proof>
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  <proof prover="0"><result status="valid" time="0.15" steps="20"/></proof>
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  <proof prover="0"><result status="valid" time="0.15" steps="21"/></proof>
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  <proof prover="0"><result status="valid" time="0.11" steps="280"/></proof>
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  <proof prover="0"><result status="valid" time="0.16" steps="25"/></proof>
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  <goal name="destruct_fo_formula&#39;vc.106" expl="assertion" proved="true">
  <proof prover="0"><result status="valid" time="0.17" steps="237"/></proof>
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  <proof prover="0"><result status="valid" time="0.14" steps="26"/></proof>
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  <proof prover="0"><result status="valid" time="0.14" steps="370"/></proof>
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  <proof prover="0"><result status="valid" time="0.15" steps="28"/></proof>
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  <proof prover="0"><result status="valid" time="0.16" steps="379"/></proof>
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  <proof prover="0"><result status="valid" time="0.08" steps="29"/></proof>
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  <proof prover="0"><result status="valid" time="0.12" steps="17"/></proof>
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  <proof prover="0"><result status="valid" time="0.14" steps="30"/></proof>
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  <proof prover="0"><result status="valid" time="0.13" steps="18"/></proof>
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  <proof prover="0"><result status="valid" time="0.11" steps="31"/></proof>
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  <goal name="destruct_fo_formula&#39;vc.116" expl="precondition" proved="true">
  <proof prover="0"><result status="valid" time="0.12" steps="97"/></proof>
  </goal>
  <goal name="destruct_fo_formula&#39;vc.117" expl="precondition" proved="true">
  <proof prover="0"><result status="valid" time="0.14" steps="18"/></proof>
  </goal>
  <goal name="destruct_fo_formula&#39;vc.118" expl="precondition" proved="true">
  <proof prover="0"><result status="valid" time="0.14" steps="29"/></proof>
  </goal>
  <goal name="destruct_fo_formula&#39;vc.119" expl="precondition" proved="true">
  <proof prover="0"><result status="valid" time="0.13" steps="19"/></proof>
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  <goal name="destruct_fo_formula&#39;vc.120" expl="precondition" proved="true">
  <proof prover="0"><result status="valid" time="0.13" steps="30"/></proof>
  </goal>
  <goal name="destruct_fo_formula&#39;vc.121" expl="precondition" proved="true">
  <proof prover="0"><result status="valid" time="0.14" steps="104"/></proof>
  </goal>
  <goal name="destruct_fo_formula&#39;vc.122" expl="precondition" proved="true">
  <proof prover="0"><result status="valid" time="0.16" steps="29"/></proof>
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  <proof prover="0"><result status="valid" time="0.14" steps="29"/></proof>
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  <proof prover="0"><result status="valid" time="0.16" steps="30"/></proof>
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  <proof prover="0"><result status="valid" time="0.13" steps="30"/></proof>
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  <proof prover="0"><result status="valid" time="0.10" steps="145"/></proof>
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  <proof prover="0"><result status="valid" time="0.08" steps="145"/></proof>
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  <proof prover="0"><result status="valid" time="0.08" steps="147"/></proof>
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  <goal name="destruct_fo_formula&#39;vc.129" expl="assertion" proved="true">
  <proof prover="0"><result status="valid" time="0.07" steps="147"/></proof>
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  <proof prover="0" timelimit="5"><result status="valid" time="0.14" steps="21"/></proof>
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  <proof prover="0"><result status="valid" time="0.16" steps="22"/></proof>
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  <proof prover="0"><result status="valid" time="0.16" steps="22"/></proof>
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  <goal name="destruct_fo_formula&#39;vc.133" expl="unreachable point" proved="true">
  <proof prover="0"><result status="valid" time="0.15" steps="23"/></proof>
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  <proof prover="0" timelimit="5"><result status="valid" time="0.13" steps="18"/></proof>
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  <proof prover="0" timelimit="5"><result status="valid" time="0.12" steps="21"/></proof>
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  <goal name="destruct_fo_formula&#39;vc.136" expl="unreachable point" proved="true">
  <proof prover="0" timelimit="5"><result status="valid" time="0.14" steps="21"/></proof>
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  <goal name="destruct_fo_formula&#39;vc.137" expl="unreachable point" proved="true">
  <proof prover="0" timelimit="5"><result status="valid" time="0.14" steps="23"/></proof>
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  <goal name="destruct_fo_formula&#39;vc.138" expl="unreachable point" proved="true">
  <proof prover="0" timelimit="5"><result status="valid" time="0.14" steps="23"/></proof>
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  <goal name="destruct_fo_formula&#39;vc.139" expl="assertion" proved="true">
  <proof prover="0" timelimit="5"><result status="valid" time="0.13" steps="20"/></proof>
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  <proof prover="0"><result status="valid" time="0.07" steps="21"/></proof>
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  <proof prover="0"><result status="valid" time="0.12" steps="118"/></proof>
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  <proof prover="0"><result status="valid" time="0.05" steps="22"/></proof>
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  <proof prover="0"><result status="valid" time="0.11" steps="119"/></proof>
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  <proof prover="0"><result status="valid" time="0.14" steps="14"/></proof>
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  <proof prover="0"><result status="valid" time="0.16" steps="27"/></proof>
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  <proof prover="0"><result status="valid" time="0.15" steps="15"/></proof>
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  <proof prover="0"><result status="valid" time="0.13" steps="28"/></proof>
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  <proof prover="0"><result status="valid" time="0.11" steps="25"/></proof>
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  <proof prover="0"><result status="valid" time="0.14" steps="25"/></proof>
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  <proof prover="0"><result status="valid" time="0.12" steps="25"/></proof>
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  <proof prover="0"><result status="valid" time="0.14" steps="112"/></proof>
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  <goal name="destruct_fo_formula&#39;vc.152" expl="assertion" proved="true">
  <proof prover="0"><result status="valid" time="0.14" steps="112"/></proof>
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  <proof prover="0" timelimit="5"><result status="valid" time="0.12" steps="22"/></proof>
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  <goal name="destruct_fo_formula&#39;vc.154" expl="unreachable point" proved="true">
  <proof prover="0"><result status="valid" time="0.09" steps="22"/></proof>
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  <proof prover="0" timelimit="5"><result status="valid" time="0.15" steps="23"/></proof>
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  <goal name="destruct_fo_formula&#39;vc.156" expl="assertion" proved="true">
  <proof prover="0" timelimit="5"><result status="valid" time="0.12" steps="21"/></proof>
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  <goal name="destruct_fo_formula&#39;vc.157" expl="unreachable point" proved="true">
  <proof prover="0"><result status="valid" time="0.08" steps="21"/></proof>
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  <proof prover="0" timelimit="5"><result status="valid" time="0.04" steps="21"/></proof>
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  <goal name="destruct_fo_formula&#39;vc.159" expl="unreachable point" proved="true">
  <proof prover="0" timelimit="5"><result status="valid" time="0.12" steps="23"/></proof>
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  <goal name="destruct_fo_formula&#39;vc.160" expl="unreachable point" proved="true">
  <proof prover="0"><result status="valid" time="0.08" steps="23"/></proof>
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  <proof prover="0"><result status="valid" time="0.08" steps="21"/></proof>
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  <proof prover="0" timelimit="5"><result status="valid" time="0.04" steps="22"/></proof>
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  <proof prover="0"><result status="valid" time="0.09" steps="23"/></proof>
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  <proof prover="0" timelimit="5"><result status="valid" time="0.13" steps="21"/></proof>
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  <proof prover="0"><result status="valid" time="0.05" steps="21"/></proof>
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  <proof prover="0"><result status="valid" time="0.05" steps="21"/></proof>
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  <proof prover="0"><result status="valid" time="0.08" steps="23"/></proof>
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  <proof prover="0"><result status="valid" time="0.06" steps="23"/></proof>
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  <proof prover="0"><result status="valid" time="0.05" steps="21"/></proof>
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  <proof prover="0" timelimit="5"><result status="valid" time="0.13" steps="22"/></proof>
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  <proof prover="0"><result status="valid" time="0.05" steps="23"/></proof>
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  <goal name="destruct_fo_formula&#39;vc.172" expl="assertion" proved="true">
  <proof prover="0" timelimit="5"><result status="valid" time="0.10" steps="18"/></proof>
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  <goal name="destruct_fo_formula&#39;vc.173" expl="unreachable point" proved="true">
  <proof prover="0"><result status="valid" time="0.09" steps="21"/></proof>
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  <proof prover="0"><result status="valid" time="0.05" steps="21"/></proof>
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  <proof prover="0"><result status="valid" time="0.05" steps="23"/></proof>
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  <proof prover="0"><result status="valid" time="0.15" steps="23"/></proof>
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  <proof prover="0"><result status="valid" time="0.09" steps="21"/></proof>
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  <proof prover="0"><result status="valid" time="0.15" steps="22"/></proof>
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  <proof prover="0"><result status="valid" time="0.04" steps="22"/></proof>
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  <proof prover="0"><result status="valid" time="0.14" steps="20"/></proof>
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  <goal name="destruct_fo_formula&#39;vc.181" expl="assertion" proved="true">
  <proof prover="0"><result status="valid" time="0.16" steps="21"/></proof>
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  <proof prover="0"><result status="valid" time="0.17" steps="184"/></proof>
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  <proof prover="0"><result status="valid" time="0.14" steps="25"/></proof>
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  <proof prover="0"><result status="valid" time="0.15" steps="172"/></proof>
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  <proof prover="0"><result status="valid" time="0.14" steps="27"/></proof>
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  <proof prover="0"><result status="valid" time="0.15" steps="24"/></proof>
  </goal>
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  <proof prover="0"><result status="valid" time="0.14" steps="26"/></proof>
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  <proof prover="0"><result status="valid" time="0.12" steps="16"/></proof>
  </goal>
  <goal name="destruct_fo_formula&#39;vc.189" expl="precondition" proved="true">
  <proof prover="0"><result status="valid" time="0.15" steps="29"/></proof>
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  <proof prover="0"><result status="valid" time="0.15" steps="84"/></proof>
  </goal>
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  <proof prover="0"><result status="valid" time="0.14" steps="17"/></proof>
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  <proof prover="0"><result status="valid" time="0.16" steps="28"/></proof>
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  <goal name="destruct_fo_formula&#39;vc.193" expl="precondition" proved="true">
  <proof prover="0"><result status="valid" time="0.12" steps="18"/></proof>
  </goal>
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  <proof prover="0"><result status="valid" time="0.16" steps="31"/></proof>
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  <goal name="destruct_fo_formula&#39;vc.195" expl="precondition" proved="true">
  <proof prover="0"><result status="valid" time="0.05" steps="85"/></proof>
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  <proof prover="0"><result status="valid" time="0.12" steps="28"/></proof>
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  <goal name="destruct_fo_formula&#39;vc.197" expl="precondition" proved="true">
  <proof prover="0"><result status="valid" time="0.14" steps="29"/></proof>
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  <goal name="destruct_fo_formula&#39;vc.198" expl="precondition" proved="true">
  <proof prover="0"><result status="valid" time="0.08" steps="29"/></proof>
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  <goal name="destruct_fo_formula&#39;vc.199" expl="assertion" proved="true">
  <transf name="split_goal_right" proved="true" >
   <goal name="destruct_fo_formula&#39;vc.199.0" expl="assertion" proved="true">
   <proof prover="0" timelimit="5"><result status="valid" time="0.06" steps="32"/></proof>
   </goal>
   <goal name="destruct_fo_formula&#39;vc.199.1" expl="assertion" proved="true">
   <proof prover="0" timelimit="5"><result status="valid" time="0.15" steps="33"/></proof>
   </goal>
   <goal name="destruct_fo_formula&#39;vc.199.2" expl="assertion" proved="true">
   <proof prover="0" timelimit="5"><result status="valid" time="0.07" steps="108"/></proof>
   </goal>
   <goal name="destruct_fo_formula&#39;vc.199.3" expl="assertion" proved="true">
   <proof prover="0" timelimit="5"><result status="valid" time="0.14" steps="261"/></proof>
   </goal>
  </transf>
  </goal>
  <goal name="destruct_fo_formula&#39;vc.200" expl="assertion" proved="true">
  <transf name="split_goal_right" proved="true" >
   <goal name="destruct_fo_formula&#39;vc.200.0" expl="assertion" proved="true">
   <proof prover="0" timelimit="5"><result status="valid" time="0.05" steps="32"/></proof>
   </goal>
   <goal name="destruct_fo_formula&#39;vc.200.1" expl="assertion" proved="true">
   <proof prover="0" timelimit="5"><result status="valid" time="0.16" steps="33"/></proof>
   </goal>
   <goal name="destruct_fo_formula&#39;vc.200.2" expl="assertion" proved="true">
   <proof prover="0" timelimit="5"><result status="valid" time="0.07" steps="108"/></proof>
   </goal>
   <goal name="destruct_fo_formula&#39;vc.200.3" expl="assertion" proved="true">
   <proof prover="0" timelimit="5"><result status="valid" time="0.12" steps="260"/></proof>
   </goal>
  </transf>
  </goal>
  <goal name="destruct_fo_formula&#39;vc.201" expl="assertion" proved="true">
  <transf name="split_goal_right" proved="true" >
   <goal name="destruct_fo_formula&#39;vc.201.0" expl="assertion" proved="true">
   <proof prover="0" timelimit="5"><result status="valid" time="0.06" steps="32"/></proof>
   </goal>
   <goal name="destruct_fo_formula&#39;vc.201.1" expl="assertion" proved="true">
   <proof prover="0" timelimit="5"><result status="valid" time="0.15" steps="33"/></proof>
   </goal>
   <goal name="destruct_fo_formula&#39;vc.201.2" expl="assertion" proved="true">
   <proof prover="0" timelimit="5"><result status="valid" time="0.12" steps="108"/></proof>
   </goal>
   <goal name="destruct_fo_formula&#39;vc.201.3" expl="assertion" proved="true">
   <proof prover="0" timelimit="5"><result status="valid" time="0.10" steps="260"/></proof>
   </goal>
  </transf>
  </goal>
  <goal name="destruct_fo_formula&#39;vc.202" expl="postcondition" proved="true">
  <transf name="split_all_full" proved="true" >
   <goal name="destruct_fo_formula&#39;vc.202.0" expl="postcondition" proved="true">
   <proof prover="0"><result status="valid" time="0.38" steps="1446"/></proof>
   </goal>
   <goal name="destruct_fo_formula&#39;vc.202.1" expl="postcondition" proved="true">
   <proof prover="0"><result status="valid" time="0.34" steps="1308"/></proof>
   </goal>
   <goal name="destruct_fo_formula&#39;vc.202.2" expl="postcondition" proved="true">
   <proof prover="0"><result status="valid" time="1.61" steps="3618"/></proof>
   </goal>
   <goal name="destruct_fo_formula&#39;vc.202.3" expl="postcondition" proved="true">
   <proof prover="0"><result status="valid" time="1.66" steps="3620"/></proof>
   </goal>
   <goal name="destruct_fo_formula&#39;vc.202.4" expl="postcondition" proved="true">
   <proof prover="0"><result status="valid" time="0.17" steps="800"/></proof>
   </goal>
   <goal name="destruct_fo_formula&#39;vc.202.5" expl="postcondition" proved="true">
   <proof prover="2"><result status="valid" time="0.16" steps="90710"/></proof>
   </goal>
   <goal name="destruct_fo_formula&#39;vc.202.6" expl="postcondition" proved="true">
   <proof prover="2"><result status="valid" time="0.16" steps="90710"/></proof>
   </goal>
   <goal name="destruct_fo_formula&#39;vc.202.7" expl="postcondition" proved="true">
   <proof prover="0"><result status="valid" time="0.37" steps="1460"/></proof>
   </goal>
  </transf>
  </goal>
  <goal name="destruct_fo_formula&#39;vc.203" expl="postcondition" proved="true">
  <proof prover="0"><result status="valid" time="1.18" steps="6731"/></proof>
  </goal>
  <goal name="destruct_fo_formula&#39;vc.204" expl="postcondition" proved="true">
  <transf name="split_vc" proved="true" >
   <goal name="destruct_fo_formula&#39;vc.204.0" expl="postcondition" proved="true">
   <transf name="split_all_full" proved="true" >
    <goal name="destruct_fo_formula&#39;vc.204.0.0" expl="postcondition" proved="true">
    <proof prover="2"><result status="valid" time="0.41" steps="90288"/></proof>
    </goal>
   </transf>
   </goal>
   <goal name="destruct_fo_formula&#39;vc.204.1" expl="postcondition" proved="true">
   <transf name="split_all_full" proved="true" >
    <goal name="destruct_fo_formula&#39;vc.204.1.0" expl="postcondition" proved="true">
    <proof prover="2"><result status="valid" time="0.44" steps="90288"/></proof>
    </goal>
   </transf>
   </goal>
   <goal name="destruct_fo_formula&#39;vc.204.2" expl="postcondition" proved="true">
   <proof prover="0"><result status="valid" time="0.60" steps="3814"/></proof>
   </goal>
   <goal name="destruct_fo_formula&#39;vc.204.3" expl="postcondition" proved="true">
   <proof prover="0"><result status="valid" time="0.58" steps="3662"/></proof>
   </goal>
   <goal name="destruct_fo_formula&#39;vc.204.4" expl="postcondition" proved="true">
   <transf name="split_all_full" proved="true" >
    <goal name="destruct_fo_formula&#39;vc.204.4.0" expl="postcondition" proved="true">
    <proof prover="2"><result status="valid" time="0.34" steps="85119"/></proof>
    </goal>
   </transf>
   </goal>
   <goal name="destruct_fo_formula&#39;vc.204.5" expl="postcondition" proved="true">
   <proof prover="2"><result status="valid" time="0.25" steps="77451"/></proof>
   </goal>
   <goal name="destruct_fo_formula&#39;vc.204.6" expl="postcondition" proved="true">
   <proof prover="2"><result status="valid" time="0.24" steps="77451"/></proof>
   </goal>
   <goal name="destruct_fo_formula&#39;vc.204.7" expl="postcondition" proved="true">
   <proof prover="0"><result status="valid" time="0.68" steps="2977"/></proof>
   </goal>
  </transf>
  </goal>
 </transf>
 </goal>
 <goal name="nlsubst_symbol_in_fo_formula&#39;vc" expl="VC for nlsubst_symbol_in_fo_formula" proved="true">
 <transf name="split_goal_right" proved="true" >
  <goal name="nlsubst_symbol_in_fo_formula&#39;vc.0" expl="precondition" proved="true">
  <proof prover="0"><result status="valid" time="0.13" steps="12"/></proof>
  </goal>
  <goal name="nlsubst_symbol_in_fo_formula&#39;vc.1" expl="precondition" proved="true">
  <proof prover="0"><result status="valid" time="0.07" steps="24"/></proof>
  </goal>
  <goal name="nlsubst_symbol_in_fo_formula&#39;vc.2" expl="precondition" proved="true">
  <proof prover="0"><result status="valid" time="0.13" steps="13"/></proof>
  </goal>
  <goal name="nlsubst_symbol_in_fo_formula&#39;vc.3" expl="precondition" proved="true">
  <proof prover="0"><result status="valid" time="0.04" steps="25"/></proof>
  </goal>
  <goal name="nlsubst_symbol_in_fo_formula&#39;vc.4" expl="precondition" proved="true">
  <proof prover="0"><result status="valid" time="0.13" steps="12"/></proof>
  </goal>
  <goal name="nlsubst_symbol_in_fo_formula&#39;vc.5" expl="postcondition" proved="true">
  <transf name="split_goal_right" proved="true" >
   <goal name="nlsubst_symbol_in_fo_formula&#39;vc.5.0" expl="VC for nlsubst_symbol_in_fo_formula" proved="true">
   <proof prover="0" timelimit="5"><result status="valid" time="0.13" steps="25"/></proof>
   </goal>
   <goal name="nlsubst_symbol_in_fo_formula&#39;vc.5.1" expl="VC for nlsubst_symbol_in_fo_formula" proved="true">
   <proof prover="0" timelimit="5"><result status="valid" time="0.06" steps="25"/></proof>
   </goal>
  </transf>
  </goal>
  <goal name="nlsubst_symbol_in_fo_formula&#39;vc.6" expl="precondition" proved="true">
  <proof prover="0"><result status="valid" time="0.14" steps="13"/></proof>
  </goal>
  <goal name="nlsubst_symbol_in_fo_formula&#39;vc.7" expl="precondition" proved="true">
  <proof prover="0"><result status="valid" time="0.14" steps="14"/></proof>
  </goal>
  <goal name="nlsubst_symbol_in_fo_formula&#39;vc.8" expl="precondition" proved="true">
  <proof prover="0"><result status="valid" time="0.12" steps="15"/></proof>
  </goal>
  <goal name="nlsubst_symbol_in_fo_formula&#39;vc.9" expl="assertion" proved="true">
  <transf name="split_goal_right" proved="true" >
   <goal name="nlsubst_symbol_in_fo_formula&#39;vc.9.0" expl="assertion" proved="true">
   <proof prover="2"><result status="valid" time="0.68" steps="181759"/></proof>
   </goal>
   <goal name="nlsubst_symbol_in_fo_formula&#39;vc.9.1" expl="assertion" proved="true">
   <proof prover="11"><result status="valid" time="0.36"/></proof>
   </goal>
   <goal name="nlsubst_symbol_in_fo_formula&#39;vc.9.2" expl="assertion" proved="true">
   <proof prover="0" timelimit="5"><result status="valid" time="0.05" steps="68"/></proof>
   </goal>
   <goal name="nlsubst_symbol_in_fo_formula&#39;vc.9.3" expl="assertion" proved="true">
   <proof prover="2"><result status="valid" time="0.27" steps="160421"/></proof>
   </goal>
   <goal name="nlsubst_symbol_in_fo_formula&#39;vc.9.4" expl="assertion" proved="true">
   <proof prover="2"><result status="valid" time="0.64" steps="176867"/></proof>
   </goal>
   <goal name="nlsubst_symbol_in_fo_formula&#39;vc.9.5" expl="assertion" proved="true">
   <proof prover="2"><result status="valid" time="0.64" steps="180789"/></proof>
   </goal>
  </transf>
  </goal>
  <goal name="nlsubst_symbol_in_fo_formula&#39;vc.10" expl="assertion" proved="true">
  <transf name="split_goal_right" proved="true" >
   <goal name="nlsubst_symbol_in_fo_formula&#39;vc.10.0" expl="assertion" proved="true">
   <proof prover="0" timelimit="5"><result status="valid" time="0.12" steps="150"/></proof>
   </goal>
   <goal name="nlsubst_symbol_in_fo_formula&#39;vc.10.1" expl="assertion" proved="true">
   <proof prover="1"><result status="valid" time="0.37"/></proof>
   </goal>
   <goal name="nlsubst_symbol_in_fo_formula&#39;vc.10.2" expl="assertion" proved="true">
   <proof prover="0" timelimit="5"><result status="valid" time="0.15" steps="141"/></proof>
   </goal>
  </transf>
  </goal>
  <goal name="nlsubst_symbol_in_fo_formula&#39;vc.11" expl="postcondition" proved="true">
  <transf name="split_goal_right" proved="true" >
   <goal name="nlsubst_symbol_in_fo_formula&#39;vc.11.0" expl="postcondition" proved="true">
   <proof prover="0" timelimit="5"><result status="valid" time="0.08" steps="132"/></proof>
   </goal>
  </transf>
  </goal>
  <goal name="nlsubst_symbol_in_fo_formula&#39;vc.12" expl="postcondition" proved="true">
  <proof prover="2"><result status="valid" time="0.11" steps="74063"/></proof>
  </goal>
 </transf>
 </goal>
 <goal name="nlsubst_fo_term_in_fo_formula&#39;vc" expl="VC for nlsubst_fo_term_in_fo_formula" proved="true">
 <transf name="split_goal_right" proved="true" >
  <goal name="nlsubst_fo_term_in_fo_formula&#39;vc.0" expl="precondition" proved="true">
  <proof prover="0"><result status="valid" time="0.12" steps="12"/></proof>
  </goal>
  <goal name="nlsubst_fo_term_in_fo_formula&#39;vc.1" expl="precondition" proved="true">
  <proof prover="0"><result status="valid" time="0.13" steps="26"/></proof>
  </goal>
  <goal name="nlsubst_fo_term_in_fo_formula&#39;vc.2" expl="precondition" proved="true">
  <proof prover="0"><result status="valid" time="0.12" steps="13"/></proof>
  </goal>
  <goal name="nlsubst_fo_term_in_fo_formula&#39;vc.3" expl="precondition" proved="true">
  <proof prover="0"><result status="valid" time="0.11" steps="27"/></proof>
  </goal>
  <goal name="nlsubst_fo_term_in_fo_formula&#39;vc.4" expl="precondition" proved="true">
  <proof prover="0"><result status="valid" time="0.13" steps="12"/></proof>
  </goal>
  <goal name="nlsubst_fo_term_in_fo_formula&#39;vc.5" expl="postcondition" proved="true">
  <transf name="split_goal_right" proved="true" >
   <goal name="nlsubst_fo_term_in_fo_formula&#39;vc.5.0" expl="VC for nlsubst_fo_term_in_fo_formula" proved="true">
   <proof prover="10"><result status="valid" time="0.34"/></proof>
   </goal>
   <goal name="nlsubst_fo_term_in_fo_formula&#39;vc.5.1" expl="VC for nlsubst_fo_term_in_fo_formula" proved="true">
   <proof prover="0" timelimit="5"><result status="valid" time="0.15" steps="27"/></proof>
   </goal>
  </transf>
  </goal>
  <goal name="nlsubst_fo_term_in_fo_formula&#39;vc.6" expl="postcondition" proved="true">
  <proof prover="0"><result status="valid" time="0.14" steps="31"/></proof>
  </goal>
  <goal name="nlsubst_fo_term_in_fo_formula&#39;vc.7" expl="precondition" proved="true">
  <proof prover="0"><result status="valid" time="0.13" steps="15"/></proof>
  </goal>
  <goal name="nlsubst_fo_term_in_fo_formula&#39;vc.8" expl="precondition" proved="true">
  <proof prover="0"><result status="valid" time="0.14" steps="16"/></proof>
  </goal>
  <goal name="nlsubst_fo_term_in_fo_formula&#39;vc.9" expl="precondition" proved="true">
  <proof prover="0"><result status="valid" time="0.13" steps="17"/></proof>
  </goal>
  <goal name="nlsubst_fo_term_in_fo_formula&#39;vc.10" expl="precondition" proved="true">
  <proof prover="0"><result status="valid" time="0.13" steps="18"/></proof>
  </goal>
  <goal name="nlsubst_fo_term_in_fo_formula&#39;vc.11" expl="assertion" proved="true">
  <transf name="split_goal_right" proved="true" >
   <goal name="nlsubst_fo_term_in_fo_formula&#39;vc.11.0" expl="assertion" proved="true">
   <proof prover="11"><result status="valid" time="0.40"/></proof>
   </goal>
   <goal name="nlsubst_fo_term_in_fo_formula&#39;vc.11.1" expl="assertion" proved="true">
   <proof prover="0" timelimit="5"><result status="valid" time="0.15" steps="71"/></proof>
   </goal>
   <goal name="nlsubst_fo_term_in_fo_formula&#39;vc.11.2" expl="assertion" proved="true">
   <proof prover="0" timelimit="5"><result status="valid" time="0.16" steps="149"/></proof>
   </goal>
   <goal name="nlsubst_fo_term_in_fo_formula&#39;vc.11.3" expl="assertion" proved="true">
   <proof prover="2"><result status="valid" time="0.62" steps="177983"/></proof>
   </goal>
   <goal name="nlsubst_fo_term_in_fo_formula&#39;vc.11.4" expl="assertion" proved="true">
   <proof prover="0" timelimit="5"><result status="valid" time="0.09" steps="23"/></proof>
   </goal>
   <goal name="nlsubst_fo_term_in_fo_formula&#39;vc.11.5" expl="assertion" proved="true">
   <proof prover="0" timelimit="5"><result status="valid" time="0.18" steps="290"/></proof>
   </goal>
  </transf>
  </goal>
  <goal name="nlsubst_fo_term_in_fo_formula&#39;vc.12" expl="assertion" proved="true">
  <transf name="split_goal_right" proved="true" >
   <goal name="nlsubst_fo_term_in_fo_formula&#39;vc.12.0" expl="assertion" proved="true">
   <proof prover="0" timelimit="5"><result status="valid" time="0.16" steps="148"/></proof>
   </goal>
   <goal name="nlsubst_fo_term_in_fo_formula&#39;vc.12.1" expl="assertion" proved="true">
   <proof prover="0" timelimit="5"><result status="valid" time="0.17" steps="393"/></proof>
   </goal>
   <goal name="nlsubst_fo_term_in_fo_formula&#39;vc.12.2" expl="assertion" proved="true">
   <proof prover="1" timelimit="5"><result status="valid" time="0.33"/></proof>
   </goal>
   <goal name="nlsubst_fo_term_in_fo_formula&#39;vc.12.3" expl="assertion" proved="true">
   <proof prover="0" timelimit="5"><result status="valid" time="0.15" steps="23"/></proof>
   </goal>
   <goal name="nlsubst_fo_term_in_fo_formula&#39;vc.12.4" expl="assertion" proved="true">
   <proof prover="0" timelimit="5"><result status="valid" time="0.12" steps="140"/></proof>
   </goal>
  </transf>
  </goal>
  <goal name="nlsubst_fo_term_in_fo_formula&#39;vc.13" expl="postcondition" proved="true">
  <transf name="split_goal_right" proved="true" >
   <goal name="nlsubst_fo_term_in_fo_formula&#39;vc.13.0" expl="postcondition" proved="true">
   <proof prover="0"><result status="valid" time="0.13" steps="133"/></proof>
   </goal>
  </transf>
  </goal>
  <goal name="nlsubst_fo_term_in_fo_formula&#39;vc.14" expl="postcondition" proved="true">
  <proof prover="2"><result status="valid" time="0.11" steps="74063"/></proof>
  </goal>
 </transf>
 </goal>
</theory>
</file>
</why3session>
