<?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="5" 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="4" name="Alt-Ergo" version="2.4.1" timelimit="5" steplimit="0" memlimit="1000"/>
<prover id="5" name="Z3" version="4.12.1" timelimit="1" 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="0.100000" 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="0.110000" 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="0.060000" 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="0.060000" 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="0.070000" 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="0.040000" 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="0.130000" 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="0.100000" 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="0.110000" 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="0.120000" 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="0.120000" 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="0.090000" 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="0.130000" 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="0.110000" 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="0.120000" 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="0.130000" 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="0.050000" 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="0.120000" 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="0.120000" 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="0.130000" 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="0.120000" 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="0.110000" 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="0.120000" 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="0.140000" 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="0.110000" 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="0.120000" 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="0.100000" 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="0.140000" 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="0.140000" 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="0.120000" 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="0.100000" 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="0.120000" 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="0.120000" 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="0.120000" 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="0.100000" 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="0.110000" 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="0.110000" 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="0.110000" 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="0.120000" 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="0.130000" 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="0.120000" 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="0.120000" 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="0.120000" 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="0.120000" 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="0.100000" 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="0.120000" 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="0.130000" 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="0.140000" 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="0.100000" 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="0.200000" 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="0.140000" 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="0.140000" 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="0.120000" 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="0.120000" 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="0.120000" 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="0.120000" 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="0.130000" 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="0.120000" 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="0.140000" 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="0.150000" 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="0.150000" 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="0.120000" 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="0.130000" 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="0.130000" 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="0.130000" 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="0.050000" 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="0.150000" 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="0.110000" 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="0.130000" 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="0.120000" 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="0.110000" 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="0.120000" 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="0.140000" 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="0.150000" 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="0.140000" 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="0.040000" 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="0.140000" 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="0.040000" 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="0.140000" 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="0.050000" 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="0.140000" 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="0.130000" 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="0.140000" 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="0.130000" 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="0.120000" steps="19"/></proof>
  </goal>
  <goal name="model_equal_fo_formula&#39;vc.1" expl="precondition" proved="true">
  <proof prover="0"><result status="valid" time="0.150000" steps="50"/></proof>
  </goal>
  <goal name="model_equal_fo_formula&#39;vc.2" expl="precondition" proved="true">
  <proof prover="0"><result status="valid" time="0.120000" steps="11"/></proof>
  </goal>
  <goal name="model_equal_fo_formula&#39;vc.3" expl="precondition" proved="true">
  <proof prover="0"><result status="valid" time="0.060000" steps="144"/></proof>
  </goal>
  <goal name="model_equal_fo_formula&#39;vc.4" expl="precondition" proved="true">
  <proof prover="0"><result status="valid" time="0.140000" steps="12"/></proof>
  </goal>
  <goal name="model_equal_fo_formula&#39;vc.5" expl="precondition" proved="true">
  <proof prover="0"><result status="valid" time="0.140000" 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="0.140000" steps="19"/></proof>
  </goal>
  <goal name="model_equal_fo_formula&#39;vc.7" expl="precondition" proved="true">
  <proof prover="0"><result status="valid" time="0.040000" steps="50"/></proof>
  </goal>
  <goal name="model_equal_fo_formula&#39;vc.8" expl="precondition" proved="true">
  <proof prover="0"><result status="valid" time="0.120000" steps="11"/></proof>
  </goal>
  <goal name="model_equal_fo_formula&#39;vc.9" expl="precondition" proved="true">
  <proof prover="0"><result status="valid" time="0.060000" steps="144"/></proof>
  </goal>
  <goal name="model_equal_fo_formula&#39;vc.10" expl="precondition" proved="true">
  <proof prover="0"><result status="valid" time="0.130000" steps="12"/></proof>
  </goal>
  <goal name="model_equal_fo_formula&#39;vc.11" expl="precondition" proved="true">
  <proof prover="0"><result status="valid" time="0.140000" 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="0.110000" steps="77"/></proof>
  </goal>
  <goal name="model_equal_fo_formula&#39;vc.13" expl="precondition" proved="true">
  <proof prover="0"><result status="valid" time="0.300000" steps="1033"/></proof>
  </goal>
  <goal name="model_equal_fo_formula&#39;vc.14" expl="precondition" proved="true">
  <proof prover="0"><result status="valid" time="0.140000" steps="11"/></proof>
  </goal>
  <goal name="model_equal_fo_formula&#39;vc.15" expl="precondition" proved="true">
  <proof prover="0"><result status="valid" time="0.240000" steps="762"/></proof>
  </goal>
  <goal name="model_equal_fo_formula&#39;vc.16" expl="precondition" proved="true">
  <proof prover="0"><result status="valid" time="0.120000" steps="12"/></proof>
  </goal>
  <goal name="model_equal_fo_formula&#39;vc.17" expl="precondition" proved="true">
  <proof prover="0"><result status="valid" time="0.070000" 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="0.140000" steps="92"/></proof>
  </goal>
  <goal name="model_equal_fo_formula&#39;vc.19" expl="precondition" proved="true">
  <proof prover="0"><result status="valid" time="0.220000" steps="941"/></proof>
  </goal>
  <goal name="model_equal_fo_formula&#39;vc.20" expl="precondition" proved="true">
  <proof prover="0"><result status="valid" time="0.120000" steps="12"/></proof>
  </goal>
  <goal name="model_equal_fo_formula&#39;vc.21" expl="precondition" proved="true">
  <proof prover="0"><result status="valid" time="0.211721" steps="734"/></proof>
  </goal>
  <goal name="model_equal_fo_formula&#39;vc.22" expl="precondition" proved="true">
  <proof prover="0"><result status="valid" time="0.120000" steps="13"/></proof>
  </goal>
  <goal name="model_equal_fo_formula&#39;vc.23" expl="precondition" proved="true">
  <proof prover="0"><result status="valid" time="0.060000" 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="0.140000" steps="77"/></proof>
  </goal>
  <goal name="model_equal_fo_formula&#39;vc.25" expl="precondition" proved="true">
  <proof prover="3"><result status="valid" time="1.114757" steps="218492"/></proof>
  </goal>
  <goal name="model_equal_fo_formula&#39;vc.26" expl="precondition" proved="true">
  <proof prover="0"><result status="valid" time="0.140000" steps="11"/></proof>
  </goal>
  <goal name="model_equal_fo_formula&#39;vc.27" expl="precondition" proved="true">
  <proof prover="0"><result status="valid" time="0.710000" steps="2045"/></proof>
  </goal>
  <goal name="model_equal_fo_formula&#39;vc.28" expl="precondition" proved="true">
  <proof prover="0"><result status="valid" time="0.130000" steps="12"/></proof>
  </goal>
  <goal name="model_equal_fo_formula&#39;vc.29" expl="precondition" proved="true">
  <proof prover="0"><result status="valid" time="0.060000" 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="0.150000" steps="92"/></proof>
  </goal>
  <goal name="model_equal_fo_formula&#39;vc.31" expl="precondition" proved="true">
  <proof prover="0"><result status="valid" time="0.820000" steps="2544"/></proof>
  </goal>
  <goal name="model_equal_fo_formula&#39;vc.32" expl="precondition" proved="true">
  <proof prover="0"><result status="valid" time="0.120000" steps="12"/></proof>
  </goal>
  <goal name="model_equal_fo_formula&#39;vc.33" expl="precondition" proved="true">
  <proof prover="0"><result status="valid" time="0.540000" steps="1981"/></proof>
  </goal>
  <goal name="model_equal_fo_formula&#39;vc.34" expl="precondition" proved="true">
  <proof prover="0"><result status="valid" time="0.120000" steps="13"/></proof>
  </goal>
  <goal name="model_equal_fo_formula&#39;vc.35" expl="precondition" proved="true">
  <proof prover="0"><result status="valid" time="0.080000" 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="0.040000" steps="19"/></proof>
  </goal>
  <goal name="model_equal_fo_formula&#39;vc.37" expl="precondition" proved="true">
  <proof prover="0"><result status="valid" time="0.150000" steps="50"/></proof>
  </goal>
  <goal name="model_equal_fo_formula&#39;vc.38" expl="precondition" proved="true">
  <proof prover="0"><result status="valid" time="0.120000" steps="11"/></proof>
  </goal>
  <goal name="model_equal_fo_formula&#39;vc.39" expl="precondition" proved="true">
  <proof prover="0"><result status="valid" time="0.090000" steps="50"/></proof>
  </goal>
  <goal name="model_equal_fo_formula&#39;vc.40" expl="precondition" proved="true">
  <proof prover="0"><result status="valid" time="0.120000" steps="12"/></proof>
  </goal>
  <goal name="model_equal_fo_formula&#39;vc.41" expl="precondition" proved="true">
  <proof prover="0"><result status="valid" time="0.140000" steps="14"/></proof>
  </goal>
  <goal name="model_equal_fo_formula&#39;vc.42" expl="precondition" proved="true">
  <proof prover="0"><result status="valid" time="0.270000" steps="775"/></proof>
  </goal>
  <goal name="model_equal_fo_formula&#39;vc.43" expl="precondition" proved="true">
  <proof prover="0"><result status="valid" time="0.120000" steps="11"/></proof>
  </goal>
  <goal name="model_equal_fo_formula&#39;vc.44" expl="precondition" proved="true">
  <proof prover="0"><result status="valid" time="0.070000" steps="36"/></proof>
  </goal>
  <goal name="model_equal_fo_formula&#39;vc.45" expl="precondition" proved="true">
  <proof prover="0"><result status="valid" time="0.660000" steps="2700"/></proof>
  </goal>
  <goal name="model_equal_fo_formula&#39;vc.46" expl="precondition" proved="true">
  <proof prover="0"><result status="valid" time="0.110000" steps="12"/></proof>
  </goal>
  <goal name="model_equal_fo_formula&#39;vc.47" expl="precondition" proved="true">
  <proof prover="0"><result status="valid" time="0.080000" steps="60"/></proof>
  </goal>
  <goal name="model_equal_fo_formula&#39;vc.48" expl="precondition" proved="true">
  <proof prover="0"><result status="valid" time="0.120000" steps="13"/></proof>
  </goal>
  <goal name="model_equal_fo_formula&#39;vc.49" expl="precondition" proved="true">
  <proof prover="0"><result status="valid" time="0.150000" steps="38"/></proof>
  </goal>
  <goal name="model_equal_fo_formula&#39;vc.50" expl="postcondition" proved="true">
  <proof prover="0"><result status="valid" time="0.120000" 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="0.070000" 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="0.140000" 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="0.150000" 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="0.150000" 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="0.040000" 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="0.040000" 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="0.090000" 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="0.070000" 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="0.140000" 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="0.130000" 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="0.130000" 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="0.140000" 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="0.060000" 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="0.120000" 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="0.040000" 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="0.050000" 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="0.040000" 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="0.110000" 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="0.160000" 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="0.050000" 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="0.170000" 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="0.130000" 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="0.140000" 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="0.130000" 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="0.140000" 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="0.100000" 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="0.140000" 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="0.120000" 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="0.140000" 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="0.040000" 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="0.130000" 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="0.080000" 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="0.160000" 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="0.140000" 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="0.150000" 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="0.140000" 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="0.080000" 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="0.080000" 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="0.090000" 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="0.040000" 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="0.140000" 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="0.130000" 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="0.140000" 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="0.140000" 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="0.140000" 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="0.140000" 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="0.150000" 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="0.140000" 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="0.060000" 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="0.130000" 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="0.080000" 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="0.160000" 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="0.400000" 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="0.140000" 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="0.120000" 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="0.170000" 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="0.060000" 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="0.090000" 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="0.140000" 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="0.110000" 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="0.120000" 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="0.150000" 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="0.080000" 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="0.060000" 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="0.050000" 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="0.150000" 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="0.040000" 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="0.060000" 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="0.130000" 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="0.150000" 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="0.150000" 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="0.140000" 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="0.090000" 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="0.100000" 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="0.080000" 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="0.080000" 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="0.060000" 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="0.140000" 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="0.140000" 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="0.040000" 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="0.040000" 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="0.130000" 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="0.130000" 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="0.130000" 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="0.090000" 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="0.090000" 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="0.120000" 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="0.050000" 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="0.060000" 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="0.130000" 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="0.060000" 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="0.100000" 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="0.130000" 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="0.120000" 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="0.140000" 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="0.140000" 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="0.150000" 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="0.120000" 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="0.130000" 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="0.140000" 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="0.080000" 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="0.140000" 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="0.130000" 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="0.386057" 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="0.160000" 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="0.140000" 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="0.080000" 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="0.040000" 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="0.130000" 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="0.120000" 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="0.150000" 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="0.140000" 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="0.050000" 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="0.160000" 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="0.120000" 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="0.140000" 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="0.140000" 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="0.130000" 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="0.130000" 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="0.080000" 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="0.040000" 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="0.040000" 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="0.040000" 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="0.140000" 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="0.120000" 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="0.040000" 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="0.140000" 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="0.080000" 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="0.130000" 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="0.130000" 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="0.100000" 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="0.120000" 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="0.150000" 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="0.110000" 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="0.140000" 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="0.070000" 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="0.120000" 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="0.120000" 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="0.140000" 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="0.160000" 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="0.150000" 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="0.080000" 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="0.050000" 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="0.130000" 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="0.120000" 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="0.160000" 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="0.130000" 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="0.070000" 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="0.050000" 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="0.130000" 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="0.120000" 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="0.140000" 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="0.140000" 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="0.140000" 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="0.150000" 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="0.140000" 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="0.120000" 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="0.140000" 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="0.120000" 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="0.040000" 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="0.090000" 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="0.070000" 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="0.130000" 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="0.140000" 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="0.140000" 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="0.140000" 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="0.040000" 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="0.100000" 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="0.140000" 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="0.150000" 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="0.130000" 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="0.130000" 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="0.140000" 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="0.040000" 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="0.040000" 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="0.130000" 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="0.050000" 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="0.080000" 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="0.140000" 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="0.140000" 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="0.140000" 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="0.160000" 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="0.130000" 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="0.160000" 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="0.130000" 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="0.120000" 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="0.130000" 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="0.240000" 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="0.140000" 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="0.140000" 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="0.110000" 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="0.100000" 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="0.140000" 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="0.140000" 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="0.140000" 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="0.140000" 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="0.160000" 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="0.140000" 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="0.140000" 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="0.050000" 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="0.130000" 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="0.090000" 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="0.130000" 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="0.140000" 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="0.140000" 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="0.140000" 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="0.060000" 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="0.050000" 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="0.100000" 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="0.040000" 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="0.140000" 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="0.140000" 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="0.140000" 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="0.130000" 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="0.120000" 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="0.140000" 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="0.130000" 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="0.130000" 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="0.130000" 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="0.150000" 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="0.130000" 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="0.140000" 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="0.130000" 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="0.130000" 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="0.130000" 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="0.140000" 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="0.110000" 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="0.130000" 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="0.060000" 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="0.090000" 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="0.140000" 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="0.110000" 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="0.120000" 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="0.120000" 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="0.130000" 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="0.150000" 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="0.160000" 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="0.140000" 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="0.130000" 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="0.150000" 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="0.120000" 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="0.140000" 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="0.140000" 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="0.140000" 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="0.040000" 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="0.150000" 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="0.050000" 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="0.110000" 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="0.130000" 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="0.140000" 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="0.120000" 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="0.140000" 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="0.140000" 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="0.140000" 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="0.150000" 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="0.160000" 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="0.100000" 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="0.120000" 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="0.120000" 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="0.120000" 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="0.150000" 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="0.140000" 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="0.080000" 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="0.070000" 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="0.120000" 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="0.070000" 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="0.120000" 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="0.060000" 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="0.130000" 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="0.040000" 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="0.120000" 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="0.150000" 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="0.140000" 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="0.290000" 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="0.160000" 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="0.130000" 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="0.150000" 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="0.130000" 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="0.150000" 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="0.060000" 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="0.080000" 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="0.050000" 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="0.150000" 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="0.130000" 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="0.140000" 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="0.130000" 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="0.160000" 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="0.140000" 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="0.140000" 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="0.160000" 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="0.160000" 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="0.070000" 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="0.160000" 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="0.040000" 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="0.140000" 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="0.050000" 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="0.150000" 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="0.130000" 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="0.050000" 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="0.140000" 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="0.050000" 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="0.140000" 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="0.060000" 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="0.130000" 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="0.120000" 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="0.140000" 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="0.120000" 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="0.130000" 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="0.140000" 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="0.130000" 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="0.070000" 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="0.130000" 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="0.150000" 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="0.050000" 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="0.150000" 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="0.050000" 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="0.060000" 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="0.050000" 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="0.060000" 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="0.150000" 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="0.140000" 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="0.110000" 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="0.040000" 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="0.080000" 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="0.140000" 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="0.070000" 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="0.160000" 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="0.130000" 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="0.150000" 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="0.150000" 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="0.040000" 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="0.140000" 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="0.150000" 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="0.040000" 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="0.140000" 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="0.150000" 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="0.140000" 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="0.140000" 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="0.180000" 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="0.130000" 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="0.140000" 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="0.140000" 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="0.050000" 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="0.140000" 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="0.060000" 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="0.120000" 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="0.130000" 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="0.140000" 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="0.120000" 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="0.150000" 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="0.140000" 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="0.140000" 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="0.150000" 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="0.160000" 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="0.140000" 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="0.130000" 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="0.150000" 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="0.040000" 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="0.060000" 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="0.150000" 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="0.070000" 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="0.050000" 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="0.140000" 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="0.150000" 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="0.130000" 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="0.110000" 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="0.140000" 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="0.150000" 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="0.140000" 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="0.040000" 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="0.150000" 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="0.110000" 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="0.150000" 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="0.130000" 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="0.130000" 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="0.040000" 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="0.120000" 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="0.150000" 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="0.120000" 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="0.140000" 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="0.140000" 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="0.100000" 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="0.140000" 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="0.140000" 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="0.150000" 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="0.120000" 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="0.060000" 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="0.150000" 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="0.040000" 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="0.140000" 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="0.120000" 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="0.130000" 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="0.150000" 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="0.150000" 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="0.140000" 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="0.140000" 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="0.140000" 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="0.130000" 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="0.140000" 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="0.140000" 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="0.130000" 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="0.120000" 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="0.150000" 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="0.160000" 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="0.140000" 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="0.140000" 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="0.040000" 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="0.170000" 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="0.230000" 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="0.140000" 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="0.160000" 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="0.100000" steps="34"/></proof>
  </goal>
  <goal name="construct_fo_formula&#39;vc.1" expl="precondition" proved="true">
  <proof prover="0"><result status="valid" time="0.080000" steps="11"/></proof>
  </goal>
  <goal name="construct_fo_formula&#39;vc.2" expl="precondition" proved="true">
  <proof prover="0"><result status="valid" time="0.080000" 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="0.080000" 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="0.060000" 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="0.060000" 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="0.110000" 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="0.050000" 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="0.070000" 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="0.060000" 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="0.040000" 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="0.130000" steps="24"/></proof>
  </goal>
  <goal name="construct_fo_formula&#39;vc.6" expl="assertion" proved="true">
  <proof prover="0"><result status="valid" time="0.150000" steps="30"/></proof>
  </goal>
  <goal name="construct_fo_formula&#39;vc.7" expl="assertion" proved="true">
  <proof prover="0"><result status="valid" time="0.120000" steps="15"/></proof>
  </goal>
  <goal name="construct_fo_formula&#39;vc.8" expl="assertion" proved="true">
  <transf name="inline_goal" proved="true" >
   <goal name="construct_fo_formula&#39;vc.8.0" expl="assertion" proved="true">
   <transf name="split_goal_right" proved="true" >
   </transf>
   </goal>
  </transf>
  </goal>
  <goal name="construct_fo_formula&#39;vc.9" expl="assertion" proved="true">
  <proof prover="0"><result status="valid" time="0.120000" steps="323"/></proof>
  </goal>
  <goal name="construct_fo_formula&#39;vc.10" expl="assertion" proved="true">
  <proof prover="0"><result status="valid" time="0.130000" steps="25"/></proof>
  </goal>
  <goal name="construct_fo_formula&#39;vc.11" expl="precondition" proved="true">
  <proof prover="0"><result status="valid" time="0.140000" steps="7"/></proof>
  </goal>
  <goal name="construct_fo_formula&#39;vc.12" expl="precondition" proved="true">
  <proof prover="0"><result status="valid" time="0.110000" steps="7"/></proof>
  </goal>
  <goal name="construct_fo_formula&#39;vc.13" expl="precondition" proved="true">
  <proof prover="0"><result status="valid" time="0.060000" steps="20"/></proof>
  </goal>
  <goal name="construct_fo_formula&#39;vc.14" expl="precondition" proved="true">
  <proof prover="0"><result status="valid" time="0.140000" steps="7"/></proof>
  </goal>
  <goal name="construct_fo_formula&#39;vc.15" expl="precondition" proved="true">
  <proof prover="0"><result status="valid" time="0.130000" 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="0.100000" 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="0.080000" steps="11"/></proof>
  </goal>
  <goal name="construct_fo_formula&#39;vc.18" expl="precondition" proved="true">
  <proof prover="0"><result status="valid" time="0.070000" 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="0.140000" 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="0.050000" 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="0.120000" 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="0.060000" 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="0.130000" 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="0.140000" 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="1.640000" steps="2624"/></proof>
  </goal>
  <goal name="construct_fo_formula&#39;vc.21" expl="assertion" proved="true">
  <proof prover="0"><result status="valid" time="0.130000" 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="0.040000" 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="0.060000" 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="0.130000" steps="15"/></proof>
  </goal>
  <goal name="construct_fo_formula&#39;vc.24" expl="assertion" proved="true">
  <proof prover="0"><result status="valid" time="0.140000" steps="7"/></proof>
  </goal>
  <goal name="construct_fo_formula&#39;vc.25" expl="assertion" proved="true">
  <proof prover="0"><result status="valid" time="0.090000" steps="323"/></proof>
  </goal>
  <goal name="construct_fo_formula&#39;vc.26" expl="assertion" proved="true">
  <proof prover="0"><result status="valid" time="0.140000" steps="25"/></proof>
  </goal>
  <goal name="construct_fo_formula&#39;vc.27" expl="precondition" proved="true">
  <proof prover="0"><result status="valid" time="0.130000" steps="7"/></proof>
  </goal>
  <goal name="construct_fo_formula&#39;vc.28" expl="precondition" proved="true">
  <proof prover="0"><result status="valid" time="0.110000" steps="7"/></proof>
  </goal>
  <goal name="construct_fo_formula&#39;vc.29" expl="precondition" proved="true">
  <proof prover="0"><result status="valid" time="0.140000" steps="20"/></proof>
  </goal>
  <goal name="construct_fo_formula&#39;vc.30" expl="precondition" proved="true">
  <proof prover="0"><result status="valid" time="0.130000" steps="7"/></proof>
  </goal>
  <goal name="construct_fo_formula&#39;vc.31" expl="precondition" proved="true">
  <proof prover="0"><result status="valid" time="0.110000" 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="0.120000" 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="0.180000" 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="0.140000" 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="0.170000" 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="0.140000" 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="0.110000" 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="0.140000" 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="0.080000" steps="30"/></proof>
  </goal>
  <goal name="construct_fo_formula&#39;vc.35" expl="postcondition" proved="true">
  <proof prover="0"><result status="valid" time="0.130000" steps="32"/></proof>
  </goal>
  <goal name="construct_fo_formula&#39;vc.36" expl="assertion" proved="true">
  <proof prover="0"><result status="valid" time="0.140000" 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="0.150000" steps="137"/></proof>
  </goal>
  <goal name="construct_fo_formula&#39;vc.38" expl="assertion" proved="true">
  <proof prover="0" timelimit="5"><result status="valid" time="0.070000" steps="137"/></proof>
  </goal>
  <goal name="construct_fo_formula&#39;vc.39" expl="assertion" proved="true">
  <proof prover="0"><result status="valid" time="0.160000" 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="0.350000" steps="106619"/></proof>
   </goal>
   <goal name="construct_fo_formula&#39;vc.40.1" expl="assertion" proved="true">
   <proof prover="2"><result status="valid" time="0.280000" steps="81392"/></proof>
   </goal>
  </transf>
  </goal>
  <goal name="construct_fo_formula&#39;vc.41" expl="assertion" proved="true">
  <proof prover="0"><result status="valid" time="0.130000" steps="255"/></proof>
  </goal>
  <goal name="construct_fo_formula&#39;vc.42" expl="assertion" proved="true">
  <proof prover="0"><result status="valid" time="0.140000" 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="0.090000" steps="7"/></proof>
  </goal>
  <goal name="construct_fo_formula&#39;vc.44" expl="assertion" proved="true">
  <proof prover="0"><result status="valid" time="0.140000" 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="0.100000" steps="7"/></proof>
  </goal>
  <goal name="construct_fo_formula&#39;vc.46" expl="precondition" proved="true">
  <proof prover="0"><result status="valid" time="0.110000" steps="7"/></proof>
  </goal>
  <goal name="construct_fo_formula&#39;vc.47" expl="precondition" proved="true">
  <proof prover="0" timelimit="5"><result status="valid" time="0.070000" steps="7"/></proof>
  </goal>
  <goal name="construct_fo_formula&#39;vc.48" expl="precondition" proved="true">
  <proof prover="0"><result status="valid" time="0.130000" steps="7"/></proof>
  </goal>
  <goal name="construct_fo_formula&#39;vc.49" expl="precondition" proved="true">
  <proof prover="0"><result status="valid" time="0.080000" steps="7"/></proof>
  </goal>
  <goal name="construct_fo_formula&#39;vc.50" expl="precondition" proved="true">
  <proof prover="0"><result status="valid" time="0.120000" steps="18"/></proof>
  </goal>
  <goal name="construct_fo_formula&#39;vc.51" expl="assertion" proved="true">
  <proof prover="0"><result status="valid" time="0.140000" 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="0.100000" steps="7"/></proof>
  </goal>
  <goal name="construct_fo_formula&#39;vc.53" expl="assertion" proved="true">
  <proof prover="0"><result status="valid" time="0.120000" steps="17"/></proof>
  </goal>
  <goal name="construct_fo_formula&#39;vc.54" expl="assertion" proved="true">
  <proof prover="0"><result status="valid" time="0.110000" steps="7"/></proof>
  </goal>
  <goal name="construct_fo_formula&#39;vc.55" expl="precondition" proved="true">
  <proof prover="0"><result status="valid" time="0.080000" steps="7"/></proof>
  </goal>
  <goal name="construct_fo_formula&#39;vc.56" expl="precondition" proved="true">
  <proof prover="0"><result status="valid" time="0.130000" steps="7"/></proof>
  </goal>
  <goal name="construct_fo_formula&#39;vc.57" expl="precondition" proved="true">
  <proof prover="0"><result status="valid" time="0.120000" steps="7"/></proof>
  </goal>
  <goal name="construct_fo_formula&#39;vc.58" expl="precondition" proved="true">
  <proof prover="0"><result status="valid" time="0.140000" steps="7"/></proof>
  </goal>
  <goal name="construct_fo_formula&#39;vc.59" expl="precondition" proved="true">
  <proof prover="0"><result status="valid" time="0.130000" steps="18"/></proof>
  </goal>
  <goal name="construct_fo_formula&#39;vc.60" expl="assertion" proved="true">
  <proof prover="0"><result status="valid" time="0.120000" steps="34"/></proof>
  </goal>
  <goal name="construct_fo_formula&#39;vc.61" expl="assertion" proved="true">
  <proof prover="0"><result status="valid" time="0.140000" steps="47"/></proof>
  </goal>
  <goal name="construct_fo_formula&#39;vc.62" expl="postcondition" proved="true">
  <proof prover="0"><result status="valid" time="0.070000" 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="0.080000" steps="32"/></proof>
  </goal>
  <goal name="construct_fo_formula&#39;vc.64" expl="assertion" proved="true">
  <proof prover="0"><result status="valid" time="0.130000" steps="137"/></proof>
  </goal>
  <goal name="construct_fo_formula&#39;vc.65" expl="assertion" proved="true">
  <proof prover="0"><result status="valid" time="0.090000" steps="137"/></proof>
  </goal>
  <goal name="construct_fo_formula&#39;vc.66" expl="assertion" proved="true">
  <proof prover="0"><result status="valid" time="0.050000" steps="137"/></proof>
  </goal>
  <goal name="construct_fo_formula&#39;vc.67" expl="assertion" proved="true">
  <proof prover="0" timelimit="5"><result status="valid" time="0.090000" 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="0.310000" steps="106619"/></proof>
   </goal>
   <goal name="construct_fo_formula&#39;vc.68.1" expl="assertion" proved="true">
   <proof prover="2"><result status="valid" time="0.280000" steps="81392"/></proof>
   </goal>
  </transf>
  </goal>
  <goal name="construct_fo_formula&#39;vc.69" expl="assertion" proved="true">
  <proof prover="0"><result status="valid" time="0.130000" steps="255"/></proof>
  </goal>
  <goal name="construct_fo_formula&#39;vc.70" expl="assertion" proved="true">
  <proof prover="0"><result status="valid" time="0.080000" 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="0.100000" 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="0.040000" 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="0.100000" 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="0.120000" steps="7"/></proof>
  </goal>
  <goal name="construct_fo_formula&#39;vc.75" expl="precondition" proved="true">
  <transf name="inline_goal" proved="true" >
   <goal name="construct_fo_formula&#39;vc.75.0" expl="precondition" proved="true">
   <transf name="split_goal_right" proved="true" >
    <goal name="construct_fo_formula&#39;vc.75.0.0" expl="precondition" proved="true">
    <proof prover="0" timelimit="5"><result status="valid" time="0.040000" steps="7"/></proof>
    </goal>
   </transf>
   </goal>
  </transf>
  </goal>
  <goal name="construct_fo_formula&#39;vc.76" expl="precondition" proved="true">
  <proof prover="0"><result status="valid" time="0.130000" steps="7"/></proof>
  </goal>
  <goal name="construct_fo_formula&#39;vc.77" expl="precondition" proved="true">
  <proof prover="0"><result status="valid" time="0.120000" steps="7"/></proof>
  </goal>
  <goal name="construct_fo_formula&#39;vc.78" expl="precondition" proved="true">
  <proof prover="0"><result status="valid" time="0.130000" steps="18"/></proof>
  </goal>
  <goal name="construct_fo_formula&#39;vc.79" expl="assertion" proved="true">
  <proof prover="0"><result status="valid" time="0.120000" 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="0.080000" steps="7"/></proof>
  </goal>
  <goal name="construct_fo_formula&#39;vc.81" expl="assertion" proved="true">
  <proof prover="0"><result status="valid" time="0.140000" steps="17"/></proof>
  </goal>
  <goal name="construct_fo_formula&#39;vc.82" expl="assertion" proved="true">
  <proof prover="0"><result status="valid" time="0.140000" steps="7"/></proof>
  </goal>
  <goal name="construct_fo_formula&#39;vc.83" expl="precondition" proved="true">
  <proof prover="0"><result status="valid" time="0.120000" steps="7"/></proof>
  </goal>
  <goal name="construct_fo_formula&#39;vc.84" expl="precondition" proved="true">
  <proof prover="0"><result status="valid" time="0.140000" steps="7"/></proof>
  </goal>
  <goal name="construct_fo_formula&#39;vc.85" expl="precondition" proved="true">
  <proof prover="0"><result status="valid" time="0.040000" steps="7"/></proof>
  </goal>
  <goal name="construct_fo_formula&#39;vc.86" expl="precondition" proved="true">
  <proof prover="0"><result status="valid" time="0.120000" steps="7"/></proof>
  </goal>
  <goal name="construct_fo_formula&#39;vc.87" expl="precondition" proved="true">
  <proof prover="0"><result status="valid" time="0.130000" steps="18"/></proof>
  </goal>
  <goal name="construct_fo_formula&#39;vc.88" expl="assertion" proved="true">
  <proof prover="0"><result status="valid" time="0.130000" steps="10"/></proof>
  </goal>
  <goal name="construct_fo_formula&#39;vc.89" expl="assertion" proved="true">
  <proof prover="0"><result status="valid" time="0.130000" steps="96"/></proof>
  </goal>
  <goal name="construct_fo_formula&#39;vc.90" expl="assertion" proved="true">
  <proof prover="0"><result status="valid" time="0.120000" steps="96"/></proof>
  </goal>
  <goal name="construct_fo_formula&#39;vc.91" expl="assertion" proved="true">
  <proof prover="0"><result status="valid" time="0.140000" steps="20"/></proof>
  </goal>
  <goal name="construct_fo_formula&#39;vc.92" expl="assertion" proved="true">
  <proof prover="0"><result status="valid" time="0.140000" steps="20"/></proof>
  </goal>
  <goal name="construct_fo_formula&#39;vc.93" expl="assertion" proved="true">
  <proof prover="0"><result status="valid" time="0.120000" steps="11"/></proof>
  </goal>
  <goal name="construct_fo_formula&#39;vc.94" expl="assertion" proved="true">
  <proof prover="0"><result status="valid" time="0.110000" steps="7"/></proof>
  </goal>
  <goal name="construct_fo_formula&#39;vc.95" expl="assertion" proved="true">
  <proof prover="0"><result status="valid" time="0.140000" steps="12"/></proof>
  </goal>
  <goal name="construct_fo_formula&#39;vc.96" expl="assertion" proved="true">
  <proof prover="2"><result status="valid" time="0.140000" steps="74567"/></proof>
  </goal>
  <goal name="construct_fo_formula&#39;vc.97" expl="precondition" proved="true">
  <proof prover="0"><result status="valid" time="0.130000" steps="7"/></proof>
  </goal>
  <goal name="construct_fo_formula&#39;vc.98" expl="precondition" proved="true">
  <proof prover="0"><result status="valid" time="0.050000" steps="7"/></proof>
  </goal>
  <goal name="construct_fo_formula&#39;vc.99" expl="precondition" proved="true">
  <proof prover="0"><result status="valid" time="0.130000" steps="7"/></proof>
  </goal>
  <goal name="construct_fo_formula&#39;vc.100" expl="precondition" proved="true">
  <proof prover="0"><result status="valid" time="0.130000" steps="7"/></proof>
  </goal>
  <goal name="construct_fo_formula&#39;vc.101" expl="precondition" proved="true">
  <proof prover="0"><result status="valid" time="0.120000" steps="13"/></proof>
  </goal>
  <goal name="construct_fo_formula&#39;vc.102" expl="assertion" proved="true">
  <proof prover="0"><result status="valid" time="0.070000" 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="0.060000" 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="0.140000" 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="0.130000" steps="10"/></proof>
  </goal>
  <goal name="construct_fo_formula&#39;vc.106" expl="assertion" proved="true">
  <proof prover="0"><result status="valid" time="0.130000" steps="25"/></proof>
  </goal>
  <goal name="construct_fo_formula&#39;vc.107" expl="assertion" proved="true">
  <proof prover="0"><result status="valid" time="0.070000" steps="39"/></proof>
  </goal>
  <goal name="construct_fo_formula&#39;vc.108" expl="postcondition" proved="true">
  <proof prover="0"><result status="valid" time="0.150000" steps="28"/></proof>
  </goal>
  <goal name="construct_fo_formula&#39;vc.109" expl="assertion" proved="true">
  <proof prover="10"><result status="valid" time="0.370000"/></proof>
  </goal>
  <goal name="construct_fo_formula&#39;vc.110" expl="assertion" proved="true">
  <proof prover="0"><result status="valid" time="0.160000" steps="68"/></proof>
  </goal>
  <goal name="construct_fo_formula&#39;vc.111" expl="assertion" proved="true">
  <proof prover="0"><result status="valid" time="0.140000" steps="67"/></proof>
  </goal>
  <goal name="construct_fo_formula&#39;vc.112" expl="assertion" proved="true">
  <proof prover="0"><result status="valid" time="0.070000" steps="199"/></proof>
  </goal>
  <goal name="construct_fo_formula&#39;vc.113" expl="assertion" proved="true">
  <proof prover="0"><result status="valid" time="0.060000" steps="107"/></proof>
  </goal>
  <goal name="construct_fo_formula&#39;vc.114" expl="assertion" proved="true">
  <proof prover="0"><result status="valid" time="0.130000" 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="0.110000" steps="7"/></proof>
  </goal>
  <goal name="construct_fo_formula&#39;vc.116" expl="precondition" proved="true">
  <proof prover="0"><result status="valid" time="0.140000" steps="7"/></proof>
  </goal>
  <goal name="construct_fo_formula&#39;vc.117" expl="precondition" proved="true">
  <proof prover="0"><result status="valid" time="0.150000" steps="7"/></proof>
  </goal>
  <goal name="construct_fo_formula&#39;vc.118" expl="precondition" proved="true">
  <proof prover="0"><result status="valid" time="0.100000" 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="0.050000" steps="7"/></proof>
  </goal>
  <goal name="construct_fo_formula&#39;vc.120" expl="assertion" proved="true">
  <proof prover="0"><result status="valid" time="0.130000" steps="7"/></proof>
  </goal>
  <goal name="construct_fo_formula&#39;vc.121" expl="assertion" proved="true">
  <proof prover="0"><result status="valid" time="0.060000" steps="15"/></proof>
  </goal>
  <goal name="construct_fo_formula&#39;vc.122" expl="assertion" proved="true">
  <proof prover="0"><result status="valid" time="0.100000" steps="7"/></proof>
  </goal>
  <goal name="construct_fo_formula&#39;vc.123" expl="precondition" proved="true">
  <proof prover="0"><result status="valid" time="0.130000" steps="7"/></proof>
  </goal>
  <goal name="construct_fo_formula&#39;vc.124" expl="precondition" proved="true">
  <proof prover="0"><result status="valid" time="0.130000" steps="7"/></proof>
  </goal>
  <goal name="construct_fo_formula&#39;vc.125" expl="precondition" proved="true">
  <proof prover="0"><result status="valid" time="0.140000" steps="7"/></proof>
  </goal>
  <goal name="construct_fo_formula&#39;vc.126" expl="precondition" proved="true">
  <proof prover="4"><result status="valid" time="0.040000" steps="12"/></proof>
  </goal>
  <goal name="construct_fo_formula&#39;vc.127" expl="precondition" proved="true">
  <proof prover="0"><result status="valid" time="0.110000" steps="16"/></proof>
  </goal>
  <goal name="construct_fo_formula&#39;vc.128" expl="postcondition" proved="true">
  <proof prover="0"><result status="valid" time="1.310000" steps="6962"/></proof>
  </goal>
  <goal name="construct_fo_formula&#39;vc.129" expl="postcondition" proved="true">
  <proof prover="0"><result status="valid" time="1.002190" 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="0.140000" 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="0.120000" steps="20"/></proof>
  </goal>
  <goal name="destruct_fo_formula&#39;vc.2" expl="assertion" proved="true">
  <proof prover="0"><result status="valid" time="0.080000" steps="22"/></proof>
  </goal>
  <goal name="destruct_fo_formula&#39;vc.3" expl="assertion" proved="true">
  <proof prover="0"><result status="valid" time="0.070000" steps="23"/></proof>
  </goal>
  <goal name="destruct_fo_formula&#39;vc.4" expl="assertion" proved="true">
  <proof prover="0"><result status="valid" time="0.140000" steps="126"/></proof>
  </goal>
  <goal name="destruct_fo_formula&#39;vc.5" expl="assertion" proved="true">
  <proof prover="0"><result status="valid" time="0.150000" steps="145"/></proof>
  </goal>
  <goal name="destruct_fo_formula&#39;vc.6" expl="assertion" proved="true">
  <proof prover="0"><result status="valid" time="0.140000" 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="0.140000" 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="0.070000" 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="0.140000" steps="18"/></proof>
  </goal>
  <goal name="destruct_fo_formula&#39;vc.9" expl="precondition" proved="true">
  <proof prover="0"><result status="valid" time="0.130000" steps="31"/></proof>
  </goal>
  <goal name="destruct_fo_formula&#39;vc.10" expl="precondition" proved="true">
  <proof prover="0"><result status="valid" time="0.130000" steps="21"/></proof>
  </goal>
  <goal name="destruct_fo_formula&#39;vc.11" expl="precondition" proved="true">
  <proof prover="0"><result status="valid" time="0.150000" steps="112"/></proof>
  </goal>
  <goal name="destruct_fo_formula&#39;vc.12" expl="precondition" proved="true">
  <proof prover="0"><result status="valid" time="0.100000" steps="29"/></proof>
  </goal>
  <goal name="destruct_fo_formula&#39;vc.13" expl="precondition" proved="true">
  <proof prover="0"><result status="valid" time="0.140000" steps="19"/></proof>
  </goal>
  <goal name="destruct_fo_formula&#39;vc.14" expl="precondition" proved="true">
  <proof prover="0"><result status="valid" time="0.140000" steps="29"/></proof>
  </goal>
  <goal name="destruct_fo_formula&#39;vc.15" expl="precondition" proved="true">
  <proof prover="0"><result status="valid" time="0.140000" steps="21"/></proof>
  </goal>
  <goal name="destruct_fo_formula&#39;vc.16" expl="precondition" proved="true">
  <proof prover="0"><result status="valid" time="0.150000" steps="27"/></proof>
  </goal>
  <goal name="destruct_fo_formula&#39;vc.17" expl="precondition" proved="true">
  <proof prover="0"><result status="valid" time="0.140000" steps="32"/></proof>
  </goal>
  <goal name="destruct_fo_formula&#39;vc.18" expl="precondition" proved="true">
  <proof prover="0"><result status="valid" time="0.140000" 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="0.060000" 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="0.140000" 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="0.100000" 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="0.080000" 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="0.090000" 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="0.040000" steps="33"/></proof>
  </goal>
  <goal name="destruct_fo_formula&#39;vc.21" expl="precondition" proved="true">
  <proof prover="0"><result status="valid" time="0.050000" 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="0.340000" steps="86534"/></proof>
   </goal>
   <goal name="destruct_fo_formula&#39;vc.22.1" expl="assertion" proved="true">
   <proof prover="2"><result status="valid" time="0.330000" steps="90007"/></proof>
   </goal>
   <goal name="destruct_fo_formula&#39;vc.22.2" expl="assertion" proved="true">
   <proof prover="2"><result status="valid" time="0.460000" steps="109297"/></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="0.450000" steps="112837"/></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="3.180382" 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="0.140000" steps="23"/></proof>
  </goal>
  <goal name="destruct_fo_formula&#39;vc.25" expl="unreachable point" proved="true">
  <proof prover="0"><result status="valid" time="0.080000" 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="0.140000" 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="0.130000" steps="23"/></proof>
  </goal>
  <goal name="destruct_fo_formula&#39;vc.28" expl="unreachable point" proved="true">
  <proof prover="0"><result status="valid" time="0.090000" 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="0.140000" 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="0.140000" steps="25"/></proof>
  </goal>
  <goal name="destruct_fo_formula&#39;vc.31" expl="postcondition" proved="true">
  <proof prover="0"><result status="valid" time="0.140000" 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="0.120000" steps="20"/></proof>
  </goal>
  <goal name="destruct_fo_formula&#39;vc.33" expl="unreachable point" proved="true">
  <proof prover="0"><result status="valid" time="0.160000" steps="23"/></proof>
  </goal>
  <goal name="destruct_fo_formula&#39;vc.34" expl="assertion" proved="true">
  <proof prover="0"><result status="valid" time="0.070000" steps="22"/></proof>
  </goal>
  <goal name="destruct_fo_formula&#39;vc.35" expl="assertion" proved="true">
  <proof prover="0"><result status="valid" time="0.100000" steps="23"/></proof>
  </goal>
  <goal name="destruct_fo_formula&#39;vc.36" expl="assertion" proved="true">
  <proof prover="0"><result status="valid" time="0.140000" steps="126"/></proof>
  </goal>
  <goal name="destruct_fo_formula&#39;vc.37" expl="assertion" proved="true">
  <proof prover="0"><result status="valid" time="0.060000" steps="145"/></proof>
  </goal>
  <goal name="destruct_fo_formula&#39;vc.38" expl="assertion" proved="true">
  <proof prover="0"><result status="valid" time="0.140000" 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="0.120000" 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="0.140000" 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="0.120000" steps="18"/></proof>
  </goal>
  <goal name="destruct_fo_formula&#39;vc.41" expl="precondition" proved="true">
  <proof prover="0"><result status="valid" time="0.150000" steps="31"/></proof>
  </goal>
  <goal name="destruct_fo_formula&#39;vc.42" expl="precondition" proved="true">
  <proof prover="0"><result status="valid" time="0.140000" steps="21"/></proof>
  </goal>
  <goal name="destruct_fo_formula&#39;vc.43" expl="precondition" proved="true">
  <proof prover="0"><result status="valid" time="0.160000" steps="112"/></proof>
  </goal>
  <goal name="destruct_fo_formula&#39;vc.44" expl="precondition" proved="true">
  <proof prover="0"><result status="valid" time="0.100000" steps="29"/></proof>
  </goal>
  <goal name="destruct_fo_formula&#39;vc.45" expl="precondition" proved="true">
  <proof prover="0"><result status="valid" time="0.140000" steps="19"/></proof>
  </goal>
  <goal name="destruct_fo_formula&#39;vc.46" expl="precondition" proved="true">
  <proof prover="0"><result status="valid" time="0.150000" steps="29"/></proof>
  </goal>
  <goal name="destruct_fo_formula&#39;vc.47" expl="precondition" proved="true">
  <proof prover="0"><result status="valid" time="0.140000" steps="21"/></proof>
  </goal>
  <goal name="destruct_fo_formula&#39;vc.48" expl="precondition" proved="true">
  <proof prover="0"><result status="valid" time="0.120000" steps="27"/></proof>
  </goal>
  <goal name="destruct_fo_formula&#39;vc.49" expl="precondition" proved="true">
  <proof prover="0"><result status="valid" time="0.130000" steps="32"/></proof>
  </goal>
  <goal name="destruct_fo_formula&#39;vc.50" expl="precondition" proved="true">
  <proof prover="0"><result status="valid" time="0.160000" 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="0.060000" 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="0.120000" 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="0.100000" 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="0.060000" 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="0.100000" 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="0.140000" steps="33"/></proof>
  </goal>
  <goal name="destruct_fo_formula&#39;vc.53" expl="precondition" proved="true">
  <proof prover="0"><result status="valid" time="0.140000" 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="0.110000" 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="0.050000" 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="0.130000" 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="0.180000" 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="3.313838" 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="0.120000" steps="25"/></proof>
  </goal>
  <goal name="destruct_fo_formula&#39;vc.57" expl="unreachable point" proved="true">
  <proof prover="0"><result status="valid" time="0.050000" steps="25"/></proof>
  </goal>
  <goal name="destruct_fo_formula&#39;vc.58" expl="unreachable point" proved="true">
  <proof prover="0"><result status="valid" time="0.160000" steps="23"/></proof>
  </goal>
  <goal name="destruct_fo_formula&#39;vc.59" expl="unreachable point" proved="true">
  <proof prover="0"><result status="valid" time="0.080000" steps="24"/></proof>
  </goal>
  <goal name="destruct_fo_formula&#39;vc.60" expl="unreachable point" proved="true">
  <proof prover="0"><result status="valid" time="0.080000" steps="24"/></proof>
  </goal>
  <goal name="destruct_fo_formula&#39;vc.61" expl="unreachable point" proved="true">
  <proof prover="0"><result status="valid" time="0.040000" steps="25"/></proof>
  </goal>
  <goal name="destruct_fo_formula&#39;vc.62" expl="assertion" proved="true">
  <proof prover="0"><result status="valid" time="0.130000" 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="0.150000" steps="21"/></proof>
  </goal>
  <goal name="destruct_fo_formula&#39;vc.64" expl="unreachable point" proved="true">
  <proof prover="0"><result status="valid" time="0.090000" steps="21"/></proof>
  </goal>
  <goal name="destruct_fo_formula&#39;vc.65" expl="assertion" proved="true">
  <proof prover="0"><result status="valid" time="0.150000" steps="20"/></proof>
  </goal>
  <goal name="destruct_fo_formula&#39;vc.66" expl="assertion" proved="true">
  <proof prover="0"><result status="valid" time="0.150000" steps="21"/></proof>
  </goal>
  <goal name="destruct_fo_formula&#39;vc.67" expl="assertion" proved="true">
  <proof prover="0"><result status="valid" time="0.130000" steps="280"/></proof>
  </goal>
  <goal name="destruct_fo_formula&#39;vc.68" expl="assertion" proved="true">
  <proof prover="0"><result status="valid" time="0.130000" steps="25"/></proof>
  </goal>
  <goal name="destruct_fo_formula&#39;vc.69" expl="assertion" proved="true">
  <proof prover="0"><result status="valid" time="0.130000" steps="237"/></proof>
  </goal>
  <goal name="destruct_fo_formula&#39;vc.70" expl="assertion" proved="true">
  <proof prover="0"><result status="valid" time="0.150000" steps="26"/></proof>
  </goal>
  <goal name="destruct_fo_formula&#39;vc.71" expl="assertion" proved="true">
  <proof prover="0"><result status="valid" time="0.130000" steps="370"/></proof>
  </goal>
  <goal name="destruct_fo_formula&#39;vc.72" expl="assertion" proved="true">
  <proof prover="0"><result status="valid" time="0.150000" steps="28"/></proof>
  </goal>
  <goal name="destruct_fo_formula&#39;vc.73" expl="assertion" proved="true">
  <proof prover="0"><result status="valid" time="0.140000" steps="379"/></proof>
  </goal>
  <goal name="destruct_fo_formula&#39;vc.74" expl="assertion" proved="true">
  <proof prover="0"><result status="valid" time="0.140000" steps="29"/></proof>
  </goal>
  <goal name="destruct_fo_formula&#39;vc.75" expl="precondition" proved="true">
  <proof prover="0"><result status="valid" time="0.120000" steps="17"/></proof>
  </goal>
  <goal name="destruct_fo_formula&#39;vc.76" expl="precondition" proved="true">
  <proof prover="0"><result status="valid" time="0.140000" steps="30"/></proof>
  </goal>
  <goal name="destruct_fo_formula&#39;vc.77" expl="precondition" proved="true">
  <proof prover="0"><result status="valid" time="0.130000" steps="18"/></proof>
  </goal>
  <goal name="destruct_fo_formula&#39;vc.78" expl="precondition" proved="true">
  <proof prover="0"><result status="valid" time="0.110000" steps="31"/></proof>
  </goal>
  <goal name="destruct_fo_formula&#39;vc.79" expl="precondition" proved="true">
  <proof prover="0"><result status="valid" time="0.120000" steps="97"/></proof>
  </goal>
  <goal name="destruct_fo_formula&#39;vc.80" expl="precondition" proved="true">
  <proof prover="0"><result status="valid" time="0.140000" steps="18"/></proof>
  </goal>
  <goal name="destruct_fo_formula&#39;vc.81" expl="precondition" proved="true">
  <proof prover="0"><result status="valid" time="0.140000" steps="29"/></proof>
  </goal>
  <goal name="destruct_fo_formula&#39;vc.82" expl="precondition" proved="true">
  <proof prover="0"><result status="valid" time="0.130000" steps="19"/></proof>
  </goal>
  <goal name="destruct_fo_formula&#39;vc.83" expl="precondition" proved="true">
  <proof prover="0"><result status="valid" time="0.130000" steps="30"/></proof>
  </goal>
  <goal name="destruct_fo_formula&#39;vc.84" expl="precondition" proved="true">
  <proof prover="0"><result status="valid" time="0.140000" steps="104"/></proof>
  </goal>
  <goal name="destruct_fo_formula&#39;vc.85" expl="precondition" proved="true">
  <proof prover="0"><result status="valid" time="0.150000" steps="29"/></proof>
  </goal>
  <goal name="destruct_fo_formula&#39;vc.86" expl="precondition" proved="true">
  <proof prover="0"><result status="valid" time="0.160000" steps="29"/></proof>
  </goal>
  <goal name="destruct_fo_formula&#39;vc.87" expl="precondition" proved="true">
  <proof prover="0"><result status="valid" time="0.160000" steps="30"/></proof>
  </goal>
  <goal name="destruct_fo_formula&#39;vc.88" expl="precondition" proved="true">
  <proof prover="0"><result status="valid" time="0.040000" steps="30"/></proof>
  </goal>
  <goal name="destruct_fo_formula&#39;vc.89" expl="assertion" proved="true">
  <proof prover="0"><result status="valid" time="0.120000" steps="145"/></proof>
  </goal>
  <goal name="destruct_fo_formula&#39;vc.90" expl="assertion" proved="true">
  <proof prover="0"><result status="valid" time="0.100000" steps="145"/></proof>
  </goal>
  <goal name="destruct_fo_formula&#39;vc.91" expl="assertion" proved="true">
  <proof prover="0"><result status="valid" time="0.080000" steps="147"/></proof>
  </goal>
  <goal name="destruct_fo_formula&#39;vc.92" expl="assertion" proved="true">
  <proof prover="0"><result status="valid" time="0.100000" steps="147"/></proof>
  </goal>
  <goal name="destruct_fo_formula&#39;vc.93" expl="unreachable point" proved="true">
  <proof prover="0"><result status="valid" time="0.080000" steps="23"/></proof>
  </goal>
  <goal name="destruct_fo_formula&#39;vc.94" expl="unreachable point" proved="true">
  <proof prover="0" timelimit="5"><result status="valid" time="0.130000" steps="21"/></proof>
  </goal>
  <goal name="destruct_fo_formula&#39;vc.95" expl="unreachable point" proved="true">
  <proof prover="0"><result status="valid" time="0.050000" steps="22"/></proof>
  </goal>
  <goal name="destruct_fo_formula&#39;vc.96" expl="unreachable point" proved="true">
  <proof prover="0"><result status="valid" time="0.050000" steps="22"/></proof>
  </goal>
  <goal name="destruct_fo_formula&#39;vc.97" expl="unreachable point" proved="true">
  <proof prover="0" timelimit="5"><result status="valid" time="0.150000" steps="23"/></proof>
  </goal>
  <goal name="destruct_fo_formula&#39;vc.98" expl="assertion" proved="true">
  <proof prover="0" timelimit="5"><result status="valid" time="0.140000" steps="18"/></proof>
  </goal>
  <goal name="destruct_fo_formula&#39;vc.99" expl="unreachable point" proved="true">
  <proof prover="0" timelimit="5"><result status="valid" time="0.150000" steps="21"/></proof>
  </goal>
  <goal name="destruct_fo_formula&#39;vc.100" expl="unreachable point" proved="true">
  <proof prover="0"><result status="valid" time="0.050000" steps="21"/></proof>
  </goal>
  <goal name="destruct_fo_formula&#39;vc.101" expl="unreachable point" proved="true">
  <proof prover="0"><result status="valid" time="0.050000" steps="23"/></proof>
  </goal>
  <goal name="destruct_fo_formula&#39;vc.102" expl="assertion" proved="true">
  <proof prover="0"><result status="valid" time="0.150000" steps="20"/></proof>
  </goal>
  <goal name="destruct_fo_formula&#39;vc.103" expl="assertion" proved="true">
  <proof prover="0"><result status="valid" time="0.150000" steps="21"/></proof>
  </goal>
  <goal name="destruct_fo_formula&#39;vc.104" expl="assertion" proved="true">
  <proof prover="0"><result status="valid" time="0.110000" steps="280"/></proof>
  </goal>
  <goal name="destruct_fo_formula&#39;vc.105" expl="assertion" proved="true">
  <proof prover="0"><result status="valid" time="0.160000" steps="25"/></proof>
  </goal>
  <goal name="destruct_fo_formula&#39;vc.106" expl="assertion" proved="true">
  <proof prover="0"><result status="valid" time="0.170000" steps="237"/></proof>
  </goal>
  <goal name="destruct_fo_formula&#39;vc.107" expl="assertion" proved="true">
  <proof prover="0"><result status="valid" time="0.140000" steps="26"/></proof>
  </goal>
  <goal name="destruct_fo_formula&#39;vc.108" expl="assertion" proved="true">
  <proof prover="0"><result status="valid" time="0.140000" steps="370"/></proof>
  </goal>
  <goal name="destruct_fo_formula&#39;vc.109" expl="assertion" proved="true">
  <proof prover="0"><result status="valid" time="0.160000" steps="28"/></proof>
  </goal>
  <goal name="destruct_fo_formula&#39;vc.110" expl="assertion" proved="true">
  <proof prover="0"><result status="valid" time="0.160000" steps="379"/></proof>
  </goal>
  <goal name="destruct_fo_formula&#39;vc.111" expl="assertion" proved="true">
  <proof prover="0"><result status="valid" time="0.080000" steps="29"/></proof>
  </goal>
  <goal name="destruct_fo_formula&#39;vc.112" expl="precondition" proved="true">
  <proof prover="0"><result status="valid" time="0.120000" steps="17"/></proof>
  </goal>
  <goal name="destruct_fo_formula&#39;vc.113" expl="precondition" proved="true">
  <proof prover="0"><result status="valid" time="0.150000" steps="30"/></proof>
  </goal>
  <goal name="destruct_fo_formula&#39;vc.114" expl="precondition" proved="true">
  <proof prover="0"><result status="valid" time="0.130000" steps="18"/></proof>
  </goal>
  <goal name="destruct_fo_formula&#39;vc.115" expl="precondition" proved="true">
  <proof prover="0"><result status="valid" time="0.100000" steps="31"/></proof>
  </goal>
  <goal name="destruct_fo_formula&#39;vc.116" expl="precondition" proved="true">
  <proof prover="0"><result status="valid" time="0.070000" steps="97"/></proof>
  </goal>
  <goal name="destruct_fo_formula&#39;vc.117" expl="precondition" proved="true">
  <proof prover="0"><result status="valid" time="0.140000" steps="18"/></proof>
  </goal>
  <goal name="destruct_fo_formula&#39;vc.118" expl="precondition" proved="true">
  <proof prover="0"><result status="valid" time="0.130000" steps="29"/></proof>
  </goal>
  <goal name="destruct_fo_formula&#39;vc.119" expl="precondition" proved="true">
  <proof prover="0"><result status="valid" time="0.140000" steps="19"/></proof>
  </goal>
  <goal name="destruct_fo_formula&#39;vc.120" expl="precondition" proved="true">
  <proof prover="0"><result status="valid" time="0.130000" steps="30"/></proof>
  </goal>
  <goal name="destruct_fo_formula&#39;vc.121" expl="precondition" proved="true">
  <proof prover="0"><result status="valid" time="0.130000" steps="104"/></proof>
  </goal>
  <goal name="destruct_fo_formula&#39;vc.122" expl="precondition" proved="true">
  <proof prover="0"><result status="valid" time="0.160000" steps="29"/></proof>
  </goal>
  <goal name="destruct_fo_formula&#39;vc.123" expl="precondition" proved="true">
  <proof prover="0"><result status="valid" time="0.140000" steps="29"/></proof>
  </goal>
  <goal name="destruct_fo_formula&#39;vc.124" expl="precondition" proved="true">
  <proof prover="0"><result status="valid" time="0.160000" steps="30"/></proof>
  </goal>
  <goal name="destruct_fo_formula&#39;vc.125" expl="precondition" proved="true">
  <proof prover="0"><result status="valid" time="0.130000" steps="30"/></proof>
  </goal>
  <goal name="destruct_fo_formula&#39;vc.126" expl="assertion" proved="true">
  <proof prover="0"><result status="valid" time="0.100000" steps="145"/></proof>
  </goal>
  <goal name="destruct_fo_formula&#39;vc.127" expl="assertion" proved="true">
  <proof prover="0"><result status="valid" time="0.080000" steps="145"/></proof>
  </goal>
  <goal name="destruct_fo_formula&#39;vc.128" expl="assertion" proved="true">
  <proof prover="0"><result status="valid" time="0.080000" steps="147"/></proof>
  </goal>
  <goal name="destruct_fo_formula&#39;vc.129" expl="assertion" proved="true">
  <proof prover="0"><result status="valid" time="0.070000" steps="147"/></proof>
  </goal>
  <goal name="destruct_fo_formula&#39;vc.130" expl="unreachable point" proved="true">
  <proof prover="0" timelimit="5"><result status="valid" time="0.140000" steps="21"/></proof>
  </goal>
  <goal name="destruct_fo_formula&#39;vc.131" expl="unreachable point" proved="true">
  <proof prover="0"><result status="valid" time="0.160000" steps="22"/></proof>
  </goal>
  <goal name="destruct_fo_formula&#39;vc.132" expl="unreachable point" proved="true">
  <proof prover="0"><result status="valid" time="0.160000" steps="22"/></proof>
  </goal>
  <goal name="destruct_fo_formula&#39;vc.133" expl="unreachable point" proved="true">
  <proof prover="0"><result status="valid" time="0.150000" steps="23"/></proof>
  </goal>
  <goal name="destruct_fo_formula&#39;vc.134" expl="assertion" proved="true">
  <proof prover="0" timelimit="5"><result status="valid" time="0.130000" steps="18"/></proof>
  </goal>
  <goal name="destruct_fo_formula&#39;vc.135" expl="unreachable point" proved="true">
  <proof prover="0" timelimit="5"><result status="valid" time="0.120000" steps="21"/></proof>
  </goal>
  <goal name="destruct_fo_formula&#39;vc.136" expl="unreachable point" proved="true">
  <proof prover="0" timelimit="5"><result status="valid" time="0.140000" steps="21"/></proof>
  </goal>
  <goal name="destruct_fo_formula&#39;vc.137" expl="unreachable point" proved="true">
  <proof prover="0" timelimit="5"><result status="valid" time="0.140000" steps="23"/></proof>
  </goal>
  <goal name="destruct_fo_formula&#39;vc.138" expl="unreachable point" proved="true">
  <proof prover="0" timelimit="5"><result status="valid" time="0.140000" steps="23"/></proof>
  </goal>
  <goal name="destruct_fo_formula&#39;vc.139" expl="assertion" proved="true">
  <proof prover="0" timelimit="5"><result status="valid" time="0.130000" steps="20"/></proof>
  </goal>
  <goal name="destruct_fo_formula&#39;vc.140" expl="assertion" proved="true">
  <proof prover="0"><result status="valid" time="0.070000" steps="21"/></proof>
  </goal>
  <goal name="destruct_fo_formula&#39;vc.141" expl="assertion" proved="true">
  <proof prover="0"><result status="valid" time="0.120000" steps="118"/></proof>
  </goal>
  <goal name="destruct_fo_formula&#39;vc.142" expl="assertion" proved="true">
  <proof prover="0"><result status="valid" time="0.050000" steps="22"/></proof>
  </goal>
  <goal name="destruct_fo_formula&#39;vc.143" expl="assertion" proved="true">
  <proof prover="0"><result status="valid" time="0.110000" steps="119"/></proof>
  </goal>
  <goal name="destruct_fo_formula&#39;vc.144" expl="precondition" proved="true">
  <proof prover="0"><result status="valid" time="0.140000" steps="14"/></proof>
  </goal>
  <goal name="destruct_fo_formula&#39;vc.145" expl="precondition" proved="true">
  <proof prover="0"><result status="valid" time="0.160000" steps="27"/></proof>
  </goal>
  <goal name="destruct_fo_formula&#39;vc.146" expl="precondition" proved="true">
  <proof prover="0"><result status="valid" time="0.150000" steps="15"/></proof>
  </goal>
  <goal name="destruct_fo_formula&#39;vc.147" expl="precondition" proved="true">
  <proof prover="0"><result status="valid" time="0.130000" steps="28"/></proof>
  </goal>
  <goal name="destruct_fo_formula&#39;vc.148" expl="precondition" proved="true">
  <proof prover="0"><result status="valid" time="0.110000" steps="25"/></proof>
  </goal>
  <goal name="destruct_fo_formula&#39;vc.149" expl="precondition" proved="true">
  <proof prover="0"><result status="valid" time="0.140000" steps="25"/></proof>
  </goal>
  <goal name="destruct_fo_formula&#39;vc.150" expl="precondition" proved="true">
  <proof prover="0"><result status="valid" time="0.120000" steps="25"/></proof>
  </goal>
  <goal name="destruct_fo_formula&#39;vc.151" expl="assertion" proved="true">
  <proof prover="0"><result status="valid" time="0.140000" steps="112"/></proof>
  </goal>
  <goal name="destruct_fo_formula&#39;vc.152" expl="assertion" proved="true">
  <proof prover="0"><result status="valid" time="0.140000" steps="112"/></proof>
  </goal>
  <goal name="destruct_fo_formula&#39;vc.153" expl="unreachable point" proved="true">
  <proof prover="0" timelimit="5"><result status="valid" time="0.120000" steps="22"/></proof>
  </goal>
  <goal name="destruct_fo_formula&#39;vc.154" expl="unreachable point" proved="true">
  <proof prover="0"><result status="valid" time="0.090000" steps="22"/></proof>
  </goal>
  <goal name="destruct_fo_formula&#39;vc.155" expl="unreachable point" proved="true">
  <proof prover="0" timelimit="5"><result status="valid" time="0.150000" steps="23"/></proof>
  </goal>
  <goal name="destruct_fo_formula&#39;vc.156" expl="assertion" proved="true">
  <proof prover="0" timelimit="5"><result status="valid" time="0.120000" steps="21"/></proof>
  </goal>
  <goal name="destruct_fo_formula&#39;vc.157" expl="unreachable point" proved="true">
  <proof prover="0"><result status="valid" time="0.080000" steps="21"/></proof>
  </goal>
  <goal name="destruct_fo_formula&#39;vc.158" expl="unreachable point" proved="true">
  <proof prover="0" timelimit="5"><result status="valid" time="0.040000" steps="21"/></proof>
  </goal>
  <goal name="destruct_fo_formula&#39;vc.159" expl="unreachable point" proved="true">
  <proof prover="0" timelimit="5"><result status="valid" time="0.120000" steps="23"/></proof>
  </goal>
  <goal name="destruct_fo_formula&#39;vc.160" expl="unreachable point" proved="true">
  <proof prover="0"><result status="valid" time="0.080000" steps="23"/></proof>
  </goal>
  <goal name="destruct_fo_formula&#39;vc.161" expl="unreachable point" proved="true">
  <proof prover="0"><result status="valid" time="0.080000" steps="21"/></proof>
  </goal>
  <goal name="destruct_fo_formula&#39;vc.162" expl="unreachable point" proved="true">
  <proof prover="0" timelimit="5"><result status="valid" time="0.040000" steps="22"/></proof>
  </goal>
  <goal name="destruct_fo_formula&#39;vc.163" expl="unreachable point" proved="true">
  <proof prover="0"><result status="valid" time="0.090000" steps="23"/></proof>
  </goal>
  <goal name="destruct_fo_formula&#39;vc.164" expl="assertion" proved="true">
  <proof prover="0" timelimit="5"><result status="valid" time="0.130000" steps="21"/></proof>
  </goal>
  <goal name="destruct_fo_formula&#39;vc.165" expl="unreachable point" proved="true">
  <proof prover="0"><result status="valid" time="0.050000" steps="21"/></proof>
  </goal>
  <goal name="destruct_fo_formula&#39;vc.166" expl="unreachable point" proved="true">
  <proof prover="0"><result status="valid" time="0.050000" steps="21"/></proof>
  </goal>
  <goal name="destruct_fo_formula&#39;vc.167" expl="unreachable point" proved="true">
  <proof prover="0"><result status="valid" time="0.080000" steps="23"/></proof>
  </goal>
  <goal name="destruct_fo_formula&#39;vc.168" expl="unreachable point" proved="true">
  <proof prover="0"><result status="valid" time="0.060000" steps="23"/></proof>
  </goal>
  <goal name="destruct_fo_formula&#39;vc.169" expl="unreachable point" proved="true">
  <proof prover="0"><result status="valid" time="0.050000" steps="21"/></proof>
  </goal>
  <goal name="destruct_fo_formula&#39;vc.170" expl="unreachable point" proved="true">
  <proof prover="0" timelimit="5"><result status="valid" time="0.130000" steps="22"/></proof>
  </goal>
  <goal name="destruct_fo_formula&#39;vc.171" expl="unreachable point" proved="true">
  <proof prover="0"><result status="valid" time="0.050000" steps="23"/></proof>
  </goal>
  <goal name="destruct_fo_formula&#39;vc.172" expl="assertion" proved="true">
  <proof prover="0" timelimit="5"><result status="valid" time="0.100000" steps="18"/></proof>
  </goal>
  <goal name="destruct_fo_formula&#39;vc.173" expl="unreachable point" proved="true">
  <proof prover="0"><result status="valid" time="0.090000" steps="21"/></proof>
  </goal>
  <goal name="destruct_fo_formula&#39;vc.174" expl="unreachable point" proved="true">
  <proof prover="0"><result status="valid" time="0.050000" steps="21"/></proof>
  </goal>
  <goal name="destruct_fo_formula&#39;vc.175" expl="unreachable point" proved="true">
  <proof prover="0"><result status="valid" time="0.050000" steps="23"/></proof>
  </goal>
  <goal name="destruct_fo_formula&#39;vc.176" expl="unreachable point" proved="true">
  <proof prover="0"><result status="valid" time="0.150000" steps="23"/></proof>
  </goal>
  <goal name="destruct_fo_formula&#39;vc.177" expl="unreachable point" proved="true">
  <proof prover="0"><result status="valid" time="0.090000" steps="21"/></proof>
  </goal>
  <goal name="destruct_fo_formula&#39;vc.178" expl="unreachable point" proved="true">
  <proof prover="0"><result status="valid" time="0.150000" steps="22"/></proof>
  </goal>
  <goal name="destruct_fo_formula&#39;vc.179" expl="unreachable point" proved="true">
  <proof prover="0"><result status="valid" time="0.040000" steps="22"/></proof>
  </goal>
  <goal name="destruct_fo_formula&#39;vc.180" expl="assertion" proved="true">
  <proof prover="0"><result status="valid" time="0.140000" steps="20"/></proof>
  </goal>
  <goal name="destruct_fo_formula&#39;vc.181" expl="assertion" proved="true">
  <proof prover="0"><result status="valid" time="0.160000" steps="21"/></proof>
  </goal>
  <goal name="destruct_fo_formula&#39;vc.182" expl="assertion" proved="true">
  <proof prover="0"><result status="valid" time="0.170000" steps="184"/></proof>
  </goal>
  <goal name="destruct_fo_formula&#39;vc.183" expl="assertion" proved="true">
  <proof prover="0"><result status="valid" time="0.140000" steps="25"/></proof>
  </goal>
  <goal name="destruct_fo_formula&#39;vc.184" expl="assertion" proved="true">
  <proof prover="0"><result status="valid" time="0.150000" steps="172"/></proof>
  </goal>
  <goal name="destruct_fo_formula&#39;vc.185" expl="assertion" proved="true">
  <proof prover="0"><result status="valid" time="0.140000" steps="27"/></proof>
  </goal>
  <goal name="destruct_fo_formula&#39;vc.186" expl="assertion" proved="true">
  <proof prover="0"><result status="valid" time="0.150000" steps="24"/></proof>
  </goal>
  <goal name="destruct_fo_formula&#39;vc.187" expl="assertion" proved="true">
  <proof prover="0"><result status="valid" time="0.140000" steps="26"/></proof>
  </goal>
  <goal name="destruct_fo_formula&#39;vc.188" expl="precondition" proved="true">
  <proof prover="0"><result status="valid" time="0.120000" steps="16"/></proof>
  </goal>
  <goal name="destruct_fo_formula&#39;vc.189" expl="precondition" proved="true">
  <proof prover="0"><result status="valid" time="0.150000" steps="29"/></proof>
  </goal>
  <goal name="destruct_fo_formula&#39;vc.190" expl="precondition" proved="true">
  <proof prover="0"><result status="valid" time="0.150000" steps="84"/></proof>
  </goal>
  <goal name="destruct_fo_formula&#39;vc.191" expl="precondition" proved="true">
  <proof prover="0"><result status="valid" time="0.140000" steps="17"/></proof>
  </goal>
  <goal name="destruct_fo_formula&#39;vc.192" expl="precondition" proved="true">
  <proof prover="0"><result status="valid" time="0.160000" steps="28"/></proof>
  </goal>
  <goal name="destruct_fo_formula&#39;vc.193" expl="precondition" proved="true">
  <proof prover="0"><result status="valid" time="0.120000" steps="18"/></proof>
  </goal>
  <goal name="destruct_fo_formula&#39;vc.194" expl="precondition" proved="true">
  <proof prover="0"><result status="valid" time="0.160000" steps="31"/></proof>
  </goal>
  <goal name="destruct_fo_formula&#39;vc.195" expl="precondition" proved="true">
  <proof prover="0"><result status="valid" time="0.050000" steps="85"/></proof>
  </goal>
  <goal name="destruct_fo_formula&#39;vc.196" expl="precondition" proved="true">
  <proof prover="0"><result status="valid" time="0.120000" steps="28"/></proof>
  </goal>
  <goal name="destruct_fo_formula&#39;vc.197" expl="precondition" proved="true">
  <proof prover="0"><result status="valid" time="0.140000" steps="29"/></proof>
  </goal>
  <goal name="destruct_fo_formula&#39;vc.198" expl="precondition" proved="true">
  <proof prover="0"><result status="valid" time="0.080000" steps="29"/></proof>
  </goal>
  <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="0.060000" 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="0.150000" 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="0.070000" 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="0.140000" 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="0.050000" 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="0.160000" 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="0.070000" 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="0.120000" 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="0.060000" 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="0.150000" 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="0.120000" 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="0.100000" 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="0.380000" steps="1446"/></proof>
   </goal>
   <goal name="destruct_fo_formula&#39;vc.202.1" expl="postcondition" proved="true">
   <proof prover="0"><result status="valid" time="0.340000" steps="1308"/></proof>
   </goal>
   <goal name="destruct_fo_formula&#39;vc.202.2" expl="postcondition" proved="true">
   <proof prover="0"><result status="valid" time="1.660000" steps="3618"/></proof>
   </goal>
   <goal name="destruct_fo_formula&#39;vc.202.3" expl="postcondition" proved="true">
   <proof prover="0"><result status="valid" time="1.610000" steps="3620"/></proof>
   </goal>
   <goal name="destruct_fo_formula&#39;vc.202.4" expl="postcondition" proved="true">
   <proof prover="0"><result status="valid" time="0.170000" steps="800"/></proof>
   </goal>
   <goal name="destruct_fo_formula&#39;vc.202.5" expl="postcondition" proved="true">
   <proof prover="2"><result status="valid" time="0.160000" steps="90449"/></proof>
   </goal>
   <goal name="destruct_fo_formula&#39;vc.202.6" expl="postcondition" proved="true">
   <proof prover="2"><result status="valid" time="0.160000" steps="90449"/></proof>
   </goal>
   <goal name="destruct_fo_formula&#39;vc.202.7" expl="postcondition" proved="true">
   <proof prover="0"><result status="valid" time="0.370000" 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="1.430000" 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="0.410000" steps="94321"/></proof>
    </goal>
   </transf>
   </goal>
   <goal name="destruct_fo_formula&#39;vc.204.1" expl="postcondition" proved="true">
   <proof prover="0"><result status="valid" time="0.511215" steps="4425"/></proof>
   </goal>
   <goal name="destruct_fo_formula&#39;vc.204.2" expl="postcondition" proved="true">
   <proof prover="5"><result status="valid" time="0.290000" steps="662692"/></proof>
   </goal>
   <goal name="destruct_fo_formula&#39;vc.204.3" expl="postcondition" proved="true">
   <proof prover="5"><result status="valid" time="0.290000" steps="662830"/></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="0.340000" steps="86424"/></proof>
    </goal>
   </transf>
   </goal>
   <goal name="destruct_fo_formula&#39;vc.204.5" expl="postcondition" proved="true">
   <proof prover="0"><result status="valid" time="0.140000" steps="506"/></proof>
   </goal>
   <goal name="destruct_fo_formula&#39;vc.204.6" expl="postcondition" proved="true">
   <proof prover="0"><result status="valid" time="0.120000" steps="506"/></proof>
   </goal>
   <goal name="destruct_fo_formula&#39;vc.204.7" expl="postcondition" proved="true">
   <transf name="split_all_full" proved="true" >
    <goal name="destruct_fo_formula&#39;vc.204.7.0" expl="postcondition" proved="true">
    <proof prover="2"><result status="valid" time="0.440000" steps="89532"/></proof>
    </goal>
   </transf>
   </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="0.130000" 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="0.070000" 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="0.130000" 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="0.040000" 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="0.130000" 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="0.130000" 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="0.060000" 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="0.140000" 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="0.140000" 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="0.120000" 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="0.681592" steps="172422"/></proof>
   </goal>
   <goal name="nlsubst_symbol_in_fo_formula&#39;vc.9.1" expl="assertion" proved="true">
   <proof prover="11"><result status="valid" time="0.360000"/></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="0.050000" 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="0.270000" steps="152378"/></proof>
   </goal>
   <goal name="nlsubst_symbol_in_fo_formula&#39;vc.9.4" expl="assertion" proved="true">
   <proof prover="2"><result status="valid" time="0.640000" steps="167904"/></proof>
   </goal>
   <goal name="nlsubst_symbol_in_fo_formula&#39;vc.9.5" expl="assertion" proved="true">
   <proof prover="2"><result status="valid" time="0.640000" steps="171895"/></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="0.120000" steps="150"/></proof>
   </goal>
   <goal name="nlsubst_symbol_in_fo_formula&#39;vc.10.1" expl="assertion" proved="true">
   <proof prover="1" timelimit="60"><result status="valid" time="0.370000"/></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="0.150000" 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="0.080000" 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="0.320000" steps="167121"/></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="0.120000" 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="0.130000" 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="0.120000" 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="0.110000" 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="0.130000" 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="0.340000"/></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="0.150000" 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="0.140000" 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="0.130000" 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="0.140000" 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="0.130000" 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="0.130000" 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="0.340000"/></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="0.150000" 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="0.160000" 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="0.620000" steps="168771"/></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="0.090000" 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="0.180000" 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="0.160000" 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="0.170000" steps="393"/></proof>
   </goal>
   <goal name="nlsubst_fo_term_in_fo_formula&#39;vc.12.2" expl="assertion" proved="true">
   <proof prover="1"><result status="valid" time="0.330000"/></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="0.150000" 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="0.120000" 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="0.130000" 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="0.280000" steps="166546"/></proof>
  </goal>
 </transf>
 </goal>
</theory>
</file>
</why3session>
