Files
why3/examples/prover/Firstorder_tableau_impl/why3session.xml
2025-01-14 19:48:35 +01:00

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<?xml version="1.0" encoding="UTF-8"?>
<!DOCTYPE why3session PUBLIC "-//Why3//proof session v5//EN"
"https://www.why3.org/why3session.dtd">
<why3session shape_version="6">
<prover id="0" name="CVC4" version="1.5" timelimit="1" steplimit="0" memlimit="1000"/>
<prover id="2" name="CVC3" version="2.4.1" timelimit="5" steplimit="0" memlimit="1000"/>
<prover id="3" name="Alt-Ergo" version="2.6.0" timelimit="5" steplimit="0" memlimit="1000"/>
<prover id="4" name="Alt-Ergo" version="2.4.3" timelimit="5" steplimit="0" memlimit="1000"/>
<prover id="9" name="CVC4" version="1.4" timelimit="5" steplimit="0" memlimit="1000"/>
<prover id="10" name="Eprover" version="1.8-001" timelimit="5" steplimit="0" memlimit="1000"/>
<file format="whyml" proved="true">
<path name=".."/><path name="Firstorder_tableau_impl.mlw"/>
<theory name="Logic" proved="true">
<goal name="nlsize_positive_lemma_tableau&#39;vc" expl="VC for nlsize_positive_lemma_tableau" proved="true">
<proof prover="3"><result status="valid" time="0.130000" steps="440"/></proof>
</goal>
<goal name="nlmodel_subst_commutation_lemma_tableau&#39;vc" expl="VC for nlmodel_subst_commutation_lemma_tableau" proved="true">
<transf name="split_goal_right" proved="true" >
<goal name="nlmodel_subst_commutation_lemma_tableau&#39;vc.0" expl="variant decrease" proved="true">
<proof prover="3"><result status="valid" time="0.070000" steps="84"/></proof>
</goal>
<goal name="nlmodel_subst_commutation_lemma_tableau&#39;vc.1" expl="assertion" proved="true">
<proof prover="3"><result status="valid" time="0.070000" steps="49"/></proof>
</goal>
<goal name="nlmodel_subst_commutation_lemma_tableau&#39;vc.2" expl="assertion" proved="true">
<proof prover="3"><result status="valid" time="0.070000" steps="53"/></proof>
</goal>
<goal name="nlmodel_subst_commutation_lemma_tableau&#39;vc.3" expl="assertion" proved="true">
<proof prover="3"><result status="valid" time="0.080000" steps="57"/></proof>
</goal>
<goal name="nlmodel_subst_commutation_lemma_tableau&#39;vc.4" expl="assertion" proved="true">
<proof prover="3"><result status="valid" time="0.051643" steps="62"/></proof>
</goal>
<goal name="nlmodel_subst_commutation_lemma_tableau&#39;vc.5" expl="assertion" proved="true">
<proof prover="3"><result status="valid" time="0.044571" steps="11"/></proof>
</goal>
<goal name="nlmodel_subst_commutation_lemma_tableau&#39;vc.6" expl="assertion" proved="true">
<proof prover="3"><result status="valid" time="0.042793" steps="11"/></proof>
</goal>
<goal name="nlmodel_subst_commutation_lemma_tableau&#39;vc.7" expl="assertion" proved="true">
<proof prover="3"><result status="valid" time="0.048099" steps="11"/></proof>
</goal>
<goal name="nlmodel_subst_commutation_lemma_tableau&#39;vc.8" expl="assertion" proved="true">
<proof prover="3"><result status="valid" time="0.160000" steps="11"/></proof>
</goal>
<goal name="nlmodel_subst_commutation_lemma_tableau&#39;vc.9" expl="assertion" proved="true">
<proof prover="3"><result status="valid" time="0.050000" steps="12"/></proof>
</goal>
<goal name="nlmodel_subst_commutation_lemma_tableau&#39;vc.10" expl="assertion" proved="true">
<proof prover="3"><result status="valid" time="0.150000" steps="12"/></proof>
</goal>
<goal name="nlmodel_subst_commutation_lemma_tableau&#39;vc.11" expl="assertion" proved="true">
<proof prover="3"><result status="valid" time="0.160000" steps="12"/></proof>
</goal>
<goal name="nlmodel_subst_commutation_lemma_tableau&#39;vc.12" expl="assertion" proved="true">
<proof prover="3"><result status="valid" time="0.045427" steps="12"/></proof>
</goal>
<goal name="nlmodel_subst_commutation_lemma_tableau&#39;vc.13" expl="postcondition" proved="true">
<proof prover="3"><result status="valid" time="0.080000" steps="913"/></proof>
</goal>
</transf>
</goal>
<goal name="nlmodel_rename_commutation_lemma_tableau&#39;vc" expl="VC for nlmodel_rename_commutation_lemma_tableau" proved="true">
<proof prover="3"><result status="valid" time="0.070000" steps="78"/></proof>
</goal>
<goal name="bound_depth_of_symbol_in_tableau_nonnegative&#39;vc" expl="VC for bound_depth_of_symbol_in_tableau_nonnegative" proved="true">
<proof prover="3"><result status="valid" time="0.150000" steps="292"/></proof>
</goal>
<goal name="bound_depth_of_fo_term_in_tableau_nonnegative&#39;vc" expl="VC for bound_depth_of_fo_term_in_tableau_nonnegative" proved="true">
<proof prover="3"><result status="valid" time="0.180000" steps="302"/></proof>
</goal>
<goal name="model_equal_tableau&#39;vc" expl="VC for model_equal_tableau" proved="true">
<transf name="split_goal_right" proved="true" >
<goal name="model_equal_tableau&#39;vc.0" expl="variant decrease" proved="true">
<proof prover="3"><result status="valid" time="0.070000" steps="159"/></proof>
</goal>
<goal name="model_equal_tableau&#39;vc.1" expl="precondition" proved="true">
<proof prover="3"><result status="valid" time="0.062350" steps="296"/></proof>
</goal>
<goal name="model_equal_tableau&#39;vc.2" expl="precondition" proved="true">
<proof prover="3"><result status="valid" time="0.040727" steps="7"/></proof>
</goal>
<goal name="model_equal_tableau&#39;vc.3" expl="precondition" proved="true">
<proof prover="3"><result status="valid" time="0.060943" steps="287"/></proof>
</goal>
<goal name="model_equal_tableau&#39;vc.4" expl="precondition" proved="true">
<proof prover="3"><result status="valid" time="0.070000" steps="7"/></proof>
</goal>
<goal name="model_equal_tableau&#39;vc.5" expl="precondition" proved="true">
<proof prover="3"><result status="valid" time="0.070000" steps="43"/></proof>
</goal>
<goal name="model_equal_tableau&#39;vc.6" expl="precondition" proved="true">
<proof prover="3"><result status="valid" time="0.120000" steps="424"/></proof>
</goal>
<goal name="model_equal_tableau&#39;vc.7" expl="precondition" proved="true">
<proof prover="3"><result status="valid" time="0.041598" steps="7"/></proof>
</goal>
<goal name="model_equal_tableau&#39;vc.8" expl="precondition" proved="true">
<proof prover="3"><result status="valid" time="0.120000" steps="469"/></proof>
</goal>
<goal name="model_equal_tableau&#39;vc.9" expl="precondition" proved="true">
<proof prover="3"><result status="valid" time="0.060000" steps="7"/></proof>
</goal>
<goal name="model_equal_tableau&#39;vc.10" expl="precondition" proved="true">
<proof prover="3"><result status="valid" time="0.055874" steps="45"/></proof>
</goal>
<goal name="model_equal_tableau&#39;vc.11" expl="precondition" proved="true">
<proof prover="3"><result status="valid" time="0.160000" steps="262"/></proof>
</goal>
<goal name="model_equal_tableau&#39;vc.12" expl="precondition" proved="true">
<proof prover="3"><result status="valid" time="0.060000" steps="7"/></proof>
</goal>
<goal name="model_equal_tableau&#39;vc.13" expl="precondition" proved="true">
<proof prover="3"><result status="valid" time="0.130000" steps="274"/></proof>
</goal>
<goal name="model_equal_tableau&#39;vc.14" expl="precondition" proved="true">
<proof prover="3"><result status="valid" time="0.160000" steps="7"/></proof>
</goal>
<goal name="model_equal_tableau&#39;vc.15" expl="precondition" proved="true">
<proof prover="3"><result status="valid" time="0.080000" steps="47"/></proof>
</goal>
<goal name="model_equal_tableau&#39;vc.16" expl="postcondition" proved="true">
<proof prover="3"><result status="valid" time="0.070000" steps="139"/></proof>
</goal>
</transf>
</goal>
</theory>
<theory name="Impl" proved="true">
<goal name="bind_var_symbol_in_tableau&#39;vc" expl="VC for bind_var_symbol_in_tableau" proved="true">
<proof prover="3" timelimit="1"><result status="valid" time="1.199260" steps="14109"/></proof>
</goal>
<goal name="bind_var_fo_term_in_tableau&#39;vc" expl="VC for bind_var_fo_term_in_tableau" proved="true">
<proof prover="3" timelimit="1"><result status="valid" time="0.895193" steps="12237"/></proof>
</goal>
<goal name="unbind_var_symbol_in_tableau&#39;vc" expl="VC for unbind_var_symbol_in_tableau" proved="true">
<proof prover="9"><result status="valid" time="2.280000"/></proof>
</goal>
<goal name="unbind_var_fo_term_in_tableau&#39;vc" expl="VC for unbind_var_fo_term_in_tableau" proved="true">
<proof prover="9"><result status="valid" time="2.320000"/></proof>
</goal>
<goal name="subst_base_symbol_in_tableau&#39;vc" expl="VC for subst_base_symbol_in_tableau" proved="true">
<proof prover="3" timelimit="1"><result status="valid" time="0.934736" steps="13590"/></proof>
</goal>
<goal name="subst_base_fo_term_in_tableau&#39;vc" expl="VC for subst_base_fo_term_in_tableau" proved="true">
<proof prover="3" timelimit="1"><result status="valid" time="0.600581" steps="8025"/></proof>
</goal>
<goal name="construct_tableau&#39;vc" expl="VC for construct_tableau" proved="true">
<transf name="split_goal_right" proved="true" >
<goal name="construct_tableau&#39;vc.0" expl="assertion" proved="true">
<proof prover="3"><result status="valid" time="0.060000" steps="27"/></proof>
</goal>
<goal name="construct_tableau&#39;vc.1" expl="assertion" proved="true">
<proof prover="3"><result status="valid" time="0.070000" steps="27"/></proof>
</goal>
<goal name="construct_tableau&#39;vc.2" expl="assertion" proved="true">
<proof prover="3"><result status="valid" time="0.070000" steps="59"/></proof>
</goal>
<goal name="construct_tableau&#39;vc.3" expl="assertion" proved="true">
<proof prover="3"><result status="valid" time="0.080000" steps="75"/></proof>
</goal>
<goal name="construct_tableau&#39;vc.4" expl="assertion" proved="true">
<proof prover="3"><result status="valid" time="0.110000" steps="94"/></proof>
</goal>
<goal name="construct_tableau&#39;vc.5" expl="postcondition" proved="true">
<proof prover="3"><result status="valid" time="0.048336" steps="27"/></proof>
</goal>
<goal name="construct_tableau&#39;vc.6" expl="postcondition" proved="true">
<proof prover="3"><result status="valid" time="0.180000" steps="27"/></proof>
</goal>
<goal name="construct_tableau&#39;vc.7" expl="postcondition" proved="true">
<proof prover="3"><result status="valid" time="0.070000" steps="39"/></proof>
</goal>
<goal name="construct_tableau&#39;vc.8" expl="postcondition" proved="true">
<proof prover="3"><result status="valid" time="0.070000" steps="39"/></proof>
</goal>
<goal name="construct_tableau&#39;vc.9" expl="assertion" proved="true">
<proof prover="3"><result status="valid" time="0.170000" steps="183"/></proof>
</goal>
<goal name="construct_tableau&#39;vc.10" expl="assertion" proved="true">
<proof prover="3"><result status="valid" time="0.080000" steps="184"/></proof>
</goal>
<goal name="construct_tableau&#39;vc.11" expl="assertion" proved="true">
<proof prover="3"><result status="valid" time="0.180000" steps="201"/></proof>
</goal>
<goal name="construct_tableau&#39;vc.12" expl="assertion" proved="true">
<proof prover="3"><result status="valid" time="0.140000" steps="202"/></proof>
</goal>
<goal name="construct_tableau&#39;vc.13" expl="assertion" proved="true">
<proof prover="3"><result status="valid" time="0.150000" steps="187"/></proof>
</goal>
<goal name="construct_tableau&#39;vc.14" expl="assertion" proved="true">
<proof prover="3"><result status="valid" time="0.059491" steps="188"/></proof>
</goal>
<goal name="construct_tableau&#39;vc.15" expl="assertion" proved="true">
<proof prover="3"><result status="valid" time="0.170000" steps="373"/></proof>
</goal>
<goal name="construct_tableau&#39;vc.16" expl="assertion" proved="true">
<proof prover="3"><result status="valid" time="0.180000" steps="393"/></proof>
</goal>
<goal name="construct_tableau&#39;vc.17" expl="assertion" proved="true">
<proof prover="3"><result status="valid" time="0.070000" steps="66"/></proof>
</goal>
<goal name="construct_tableau&#39;vc.18" expl="assertion" proved="true">
<proof prover="0"><result status="valid" time="0.160000" steps="98285"/></proof>
</goal>
<goal name="construct_tableau&#39;vc.19" expl="assertion" proved="true">
<proof prover="3"><result status="valid" time="0.070000" steps="68"/></proof>
</goal>
<goal name="construct_tableau&#39;vc.20" expl="assertion" proved="true">
<proof prover="0"><result status="valid" time="0.180000" steps="98285"/></proof>
</goal>
<goal name="construct_tableau&#39;vc.21" expl="precondition" proved="true">
<proof prover="3"><result status="valid" time="0.070000" steps="9"/></proof>
</goal>
<goal name="construct_tableau&#39;vc.22" expl="precondition" proved="true">
<proof prover="3"><result status="valid" time="0.060000" steps="9"/></proof>
</goal>
<goal name="construct_tableau&#39;vc.23" expl="precondition" proved="true">
<proof prover="3"><result status="valid" time="0.070000" steps="9"/></proof>
</goal>
<goal name="construct_tableau&#39;vc.24" expl="precondition" proved="true">
<proof prover="3"><result status="valid" time="0.060000" steps="9"/></proof>
</goal>
<goal name="construct_tableau&#39;vc.25" expl="precondition" proved="true">
<proof prover="3"><result status="valid" time="0.052889" steps="70"/></proof>
</goal>
<goal name="construct_tableau&#39;vc.26" expl="assertion" proved="true">
<proof prover="3"><result status="valid" time="0.070000" steps="44"/></proof>
</goal>
<goal name="construct_tableau&#39;vc.27" expl="assertion" proved="true">
<proof prover="3"><result status="valid" time="0.070000" steps="9"/></proof>
</goal>
<goal name="construct_tableau&#39;vc.28" expl="assertion" proved="true">
<proof prover="3"><result status="valid" time="0.070000" steps="44"/></proof>
</goal>
<goal name="construct_tableau&#39;vc.29" expl="assertion" proved="true">
<proof prover="0"><result status="valid" time="0.170000" steps="98285"/></proof>
</goal>
<goal name="construct_tableau&#39;vc.30" expl="precondition" proved="true">
<proof prover="3"><result status="valid" time="0.060000" steps="9"/></proof>
</goal>
<goal name="construct_tableau&#39;vc.31" expl="precondition" proved="true">
<proof prover="3"><result status="valid" time="0.060000" steps="9"/></proof>
</goal>
<goal name="construct_tableau&#39;vc.32" expl="precondition" proved="true">
<proof prover="3"><result status="valid" time="0.070000" steps="9"/></proof>
</goal>
<goal name="construct_tableau&#39;vc.33" expl="precondition" proved="true">
<proof prover="3"><result status="valid" time="0.060000" steps="9"/></proof>
</goal>
<goal name="construct_tableau&#39;vc.34" expl="precondition" proved="true">
<proof prover="3"><result status="valid" time="0.055846" steps="70"/></proof>
</goal>
<goal name="construct_tableau&#39;vc.35" expl="assertion" proved="true">
<proof prover="3"><result status="valid" time="0.052389" steps="44"/></proof>
</goal>
<goal name="construct_tableau&#39;vc.36" expl="assertion" proved="true">
<proof prover="3"><result status="valid" time="0.090000" steps="9"/></proof>
</goal>
<goal name="construct_tableau&#39;vc.37" expl="assertion" proved="true">
<proof prover="3"><result status="valid" time="0.070000" steps="44"/></proof>
</goal>
<goal name="construct_tableau&#39;vc.38" expl="assertion" proved="true">
<proof prover="0"><result status="valid" time="0.170000" steps="98285"/></proof>
</goal>
<goal name="construct_tableau&#39;vc.39" expl="precondition" proved="true">
<proof prover="3"><result status="valid" time="0.070000" steps="9"/></proof>
</goal>
<goal name="construct_tableau&#39;vc.40" expl="precondition" proved="true">
<proof prover="3"><result status="valid" time="0.060000" steps="9"/></proof>
</goal>
<goal name="construct_tableau&#39;vc.41" expl="precondition" proved="true">
<proof prover="3"><result status="valid" time="0.060000" steps="9"/></proof>
</goal>
<goal name="construct_tableau&#39;vc.42" expl="precondition" proved="true">
<proof prover="3"><result status="valid" time="0.070000" steps="9"/></proof>
</goal>
<goal name="construct_tableau&#39;vc.43" expl="precondition" proved="true">
<proof prover="3"><result status="valid" time="0.060000" steps="70"/></proof>
</goal>
<goal name="construct_tableau&#39;vc.44" expl="postcondition" proved="true">
<proof prover="3"><result status="valid" time="5.663450" steps="102944"/></proof>
</goal>
<goal name="construct_tableau&#39;vc.45" expl="postcondition" proved="true">
<proof prover="3"><result status="valid" time="0.385390" steps="5462"/></proof>
</goal>
</transf>
</goal>
<goal name="destruct_tableau&#39;vc" expl="VC for destruct_tableau" proved="true">
<transf name="split_goal_right" proved="true" >
<goal name="destruct_tableau&#39;vc.0" expl="assertion" proved="true">
<proof prover="3"><result status="valid" time="0.070000" steps="77"/></proof>
</goal>
<goal name="destruct_tableau&#39;vc.1" expl="unreachable point" proved="true">
<proof prover="3"><result status="valid" time="0.070000" steps="41"/></proof>
</goal>
<goal name="destruct_tableau&#39;vc.2" expl="assertion" proved="true">
<proof prover="3"><result status="valid" time="0.058777" steps="55"/></proof>
</goal>
<goal name="destruct_tableau&#39;vc.3" expl="unreachable point" proved="true">
<proof prover="3"><result status="valid" time="0.070000" steps="62"/></proof>
</goal>
<goal name="destruct_tableau&#39;vc.4" expl="assertion" proved="true">
<proof prover="3"><result status="valid" time="0.080000" steps="63"/></proof>
</goal>
<goal name="destruct_tableau&#39;vc.5" expl="assertion" proved="true">
<proof prover="3"><result status="valid" time="0.070000" steps="62"/></proof>
</goal>
<goal name="destruct_tableau&#39;vc.6" expl="assertion" proved="true">
<proof prover="3"><result status="valid" time="0.080000" steps="62"/></proof>
</goal>
<goal name="destruct_tableau&#39;vc.7" expl="assertion" proved="true">
<proof prover="3"><result status="valid" time="0.120000" steps="120"/></proof>
</goal>
<goal name="destruct_tableau&#39;vc.8" expl="assertion" proved="true">
<proof prover="4"><result status="valid" time="0.053306" steps="322"/></proof>
</goal>
<goal name="destruct_tableau&#39;vc.9" expl="assertion" proved="true">
<proof prover="3"><result status="valid" time="0.090000" steps="128"/></proof>
</goal>
<goal name="destruct_tableau&#39;vc.10" expl="assertion" proved="true">
<proof prover="4"><result status="valid" time="0.057777" steps="327"/></proof>
</goal>
<goal name="destruct_tableau&#39;vc.11" expl="assertion" proved="true">
<proof prover="3"><result status="valid" time="0.130000" steps="128"/></proof>
</goal>
<goal name="destruct_tableau&#39;vc.12" expl="assertion" proved="true">
<proof prover="4"><result status="valid" time="0.054923" steps="350"/></proof>
</goal>
<goal name="destruct_tableau&#39;vc.13" expl="assertion" proved="true">
<proof prover="3"><result status="valid" time="0.080000" steps="150"/></proof>
</goal>
<goal name="destruct_tableau&#39;vc.14" expl="assertion" proved="true">
<proof prover="4"><result status="valid" time="0.063489" steps="420"/></proof>
</goal>
<goal name="destruct_tableau&#39;vc.15" expl="assertion" proved="true">
<proof prover="3"><result status="valid" time="0.080000" steps="149"/></proof>
</goal>
<goal name="destruct_tableau&#39;vc.16" expl="assertion" proved="true">
<proof prover="4"><result status="valid" time="0.061009" steps="429"/></proof>
</goal>
<goal name="destruct_tableau&#39;vc.17" expl="assertion" proved="true">
<proof prover="3"><result status="valid" time="0.080000" steps="156"/></proof>
</goal>
<goal name="destruct_tableau&#39;vc.18" expl="assertion" proved="true">
<proof prover="4"><result status="valid" time="0.058618" steps="440"/></proof>
</goal>
<goal name="destruct_tableau&#39;vc.19" expl="precondition" proved="true">
<proof prover="3"><result status="valid" time="0.046827" steps="42"/></proof>
</goal>
<goal name="destruct_tableau&#39;vc.20" expl="precondition" proved="true">
<proof prover="3"><result status="valid" time="0.080000" steps="83"/></proof>
</goal>
<goal name="destruct_tableau&#39;vc.21" expl="precondition" proved="true">
<proof prover="3"><result status="valid" time="0.050746" steps="46"/></proof>
</goal>
<goal name="destruct_tableau&#39;vc.22" expl="precondition" proved="true">
<proof prover="3"><result status="valid" time="0.080000" steps="86"/></proof>
</goal>
<goal name="destruct_tableau&#39;vc.23" expl="precondition" proved="true">
<proof prover="3"><result status="valid" time="0.080000" steps="89"/></proof>
</goal>
<goal name="destruct_tableau&#39;vc.24" expl="precondition" proved="true">
<proof prover="3"><result status="valid" time="0.060000" steps="44"/></proof>
</goal>
<goal name="destruct_tableau&#39;vc.25" expl="precondition" proved="true">
<proof prover="3"><result status="valid" time="0.180000" steps="75"/></proof>
</goal>
<goal name="destruct_tableau&#39;vc.26" expl="precondition" proved="true">
<proof prover="3"><result status="valid" time="0.053778" steps="48"/></proof>
</goal>
<goal name="destruct_tableau&#39;vc.27" expl="precondition" proved="true">
<proof prover="3"><result status="valid" time="0.180000" steps="77"/></proof>
</goal>
<goal name="destruct_tableau&#39;vc.28" expl="precondition" proved="true">
<proof prover="3"><result status="valid" time="0.090000" steps="93"/></proof>
</goal>
<goal name="destruct_tableau&#39;vc.29" expl="precondition" proved="true">
<proof prover="3"><result status="valid" time="0.052617" steps="46"/></proof>
</goal>
<goal name="destruct_tableau&#39;vc.30" expl="precondition" proved="true">
<proof prover="3"><result status="valid" time="0.180000" steps="78"/></proof>
</goal>
<goal name="destruct_tableau&#39;vc.31" expl="precondition" proved="true">
<proof prover="3"><result status="valid" time="0.160000" steps="50"/></proof>
</goal>
<goal name="destruct_tableau&#39;vc.32" expl="precondition" proved="true">
<proof prover="3"><result status="valid" time="0.067149" steps="80"/></proof>
</goal>
<goal name="destruct_tableau&#39;vc.33" expl="precondition" proved="true">
<proof prover="3"><result status="valid" time="0.090000" steps="96"/></proof>
</goal>
<goal name="destruct_tableau&#39;vc.34" expl="precondition" proved="true">
<proof prover="3"><result status="valid" time="0.080000" steps="99"/></proof>
</goal>
<goal name="destruct_tableau&#39;vc.35" expl="precondition" proved="true">
<proof prover="3"><result status="valid" time="0.070000" steps="100"/></proof>
</goal>
<goal name="destruct_tableau&#39;vc.36" expl="precondition" proved="true">
<proof prover="3"><result status="valid" time="0.080000" steps="106"/></proof>
</goal>
<goal name="destruct_tableau&#39;vc.37" expl="precondition" proved="true">
<proof prover="3"><result status="valid" time="0.080000" steps="106"/></proof>
</goal>
<goal name="destruct_tableau&#39;vc.38" expl="precondition" proved="true">
<proof prover="3"><result status="valid" time="0.080000" steps="111"/></proof>
</goal>
<goal name="destruct_tableau&#39;vc.39" expl="precondition" proved="true">
<proof prover="3"><result status="valid" time="0.080000" steps="112"/></proof>
</goal>
<goal name="destruct_tableau&#39;vc.40" expl="assertion" proved="true">
<proof prover="3"><result status="valid" time="0.150000" steps="1163"/></proof>
</goal>
<goal name="destruct_tableau&#39;vc.41" expl="assertion" proved="true">
<proof prover="3"><result status="valid" time="0.140000" steps="1168"/></proof>
</goal>
<goal name="destruct_tableau&#39;vc.42" expl="assertion" proved="true">
<proof prover="3"><result status="valid" time="0.150000" steps="1191"/></proof>
</goal>
<goal name="destruct_tableau&#39;vc.43" expl="assertion" proved="true">
<proof prover="3"><result status="valid" time="0.140000" steps="1200"/></proof>
</goal>
<goal name="destruct_tableau&#39;vc.44" expl="assertion" proved="true">
<proof prover="3"><result status="valid" time="0.160000" steps="1174"/></proof>
</goal>
<goal name="destruct_tableau&#39;vc.45" expl="assertion" proved="true">
<proof prover="3"><result status="valid" time="0.150000" steps="1178"/></proof>
</goal>
<goal name="destruct_tableau&#39;vc.46" expl="postcondition" proved="true">
<proof prover="3" timelimit="1"><result status="valid" time="0.450000" steps="5645"/></proof>
</goal>
<goal name="destruct_tableau&#39;vc.47" expl="postcondition" proved="true">
<proof prover="3"><result status="valid" time="0.150000" steps="1559"/></proof>
</goal>
<goal name="destruct_tableau&#39;vc.48" expl="postcondition" proved="true">
<proof prover="3"><result status="valid" time="0.335542" steps="4750"/></proof>
</goal>
</transf>
</goal>
<goal name="nlsubst_symbol_in_tableau&#39;vc" expl="VC for nlsubst_symbol_in_tableau" proved="true">
<transf name="split_goal_right" proved="true" >
<goal name="nlsubst_symbol_in_tableau&#39;vc.0" expl="precondition" proved="true">
<proof prover="3"><result status="valid" time="0.060000" steps="40"/></proof>
</goal>
<goal name="nlsubst_symbol_in_tableau&#39;vc.1" expl="precondition" proved="true">
<proof prover="3"><result status="valid" time="0.051354" steps="30"/></proof>
</goal>
<goal name="nlsubst_symbol_in_tableau&#39;vc.2" expl="precondition" proved="true">
<proof prover="3"><result status="valid" time="0.056769" steps="44"/></proof>
</goal>
<goal name="nlsubst_symbol_in_tableau&#39;vc.3" expl="precondition" proved="true">
<proof prover="3"><result status="valid" time="0.070000" steps="33"/></proof>
</goal>
<goal name="nlsubst_symbol_in_tableau&#39;vc.4" expl="precondition" proved="true">
<proof prover="3"><result status="valid" time="0.051035" steps="36"/></proof>
</goal>
<goal name="nlsubst_symbol_in_tableau&#39;vc.5" expl="postcondition" proved="true">
<proof prover="3"><result status="valid" time="0.060000" steps="22"/></proof>
</goal>
<goal name="nlsubst_symbol_in_tableau&#39;vc.6" expl="precondition" proved="true">
<proof prover="3"><result status="valid" time="0.060000" steps="36"/></proof>
</goal>
<goal name="nlsubst_symbol_in_tableau&#39;vc.7" expl="precondition" proved="true">
<proof prover="3"><result status="valid" time="0.070000" steps="38"/></proof>
</goal>
<goal name="nlsubst_symbol_in_tableau&#39;vc.8" expl="precondition" proved="true">
<proof prover="3"><result status="valid" time="0.052727" steps="40"/></proof>
</goal>
<goal name="nlsubst_symbol_in_tableau&#39;vc.9" expl="assertion" proved="true">
<transf name="split_goal_right" proved="true" >
<goal name="nlsubst_symbol_in_tableau&#39;vc.9.0" expl="assertion" proved="true">
<proof prover="0"><result status="valid" time="0.860000" steps="212822"/></proof>
</goal>
<goal name="nlsubst_symbol_in_tableau&#39;vc.9.1" expl="assertion" proved="true">
<proof prover="3"><result status="valid" time="0.190000" steps="618"/></proof>
</goal>
<goal name="nlsubst_symbol_in_tableau&#39;vc.9.2" expl="assertion" proved="true">
<proof prover="3"><result status="valid" time="0.080000" steps="205"/></proof>
</goal>
<goal name="nlsubst_symbol_in_tableau&#39;vc.9.3" expl="assertion" proved="true">
<proof prover="0"><result status="valid" time="0.350000" steps="195257"/></proof>
</goal>
<goal name="nlsubst_symbol_in_tableau&#39;vc.9.4" expl="assertion" proved="true">
<proof prover="0"><result status="valid" time="0.820000" steps="211010"/></proof>
</goal>
<goal name="nlsubst_symbol_in_tableau&#39;vc.9.5" expl="assertion" proved="true">
<proof prover="0"><result status="valid" time="0.830000" steps="215891"/></proof>
</goal>
</transf>
</goal>
<goal name="nlsubst_symbol_in_tableau&#39;vc.10" expl="assertion" proved="true">
<transf name="split_goal_right" proved="true" >
<goal name="nlsubst_symbol_in_tableau&#39;vc.10.0" expl="assertion" proved="true">
<proof prover="3"><result status="valid" time="0.120000" steps="175"/></proof>
</goal>
<goal name="nlsubst_symbol_in_tableau&#39;vc.10.1" expl="assertion" proved="true">
<proof prover="2"><result status="valid" time="0.390000"/></proof>
</goal>
<goal name="nlsubst_symbol_in_tableau&#39;vc.10.2" expl="assertion" proved="true">
<proof prover="3"><result status="valid" time="0.160000" steps="166"/></proof>
</goal>
</transf>
</goal>
<goal name="nlsubst_symbol_in_tableau&#39;vc.11" expl="postcondition" proved="true">
<proof prover="3"><result status="valid" time="0.398670" steps="10214"/></proof>
</goal>
<goal name="nlsubst_symbol_in_tableau&#39;vc.12" expl="postcondition" proved="true">
<proof prover="0"><result status="valid" time="0.400000" steps="211588"/></proof>
</goal>
</transf>
</goal>
<goal name="nlsubst_fo_term_in_tableau&#39;vc" expl="VC for nlsubst_fo_term_in_tableau" proved="true">
<transf name="split_goal_right" proved="true" >
<goal name="nlsubst_fo_term_in_tableau&#39;vc.0" expl="precondition" proved="true">
<proof prover="3"><result status="valid" time="0.060000" steps="36"/></proof>
</goal>
<goal name="nlsubst_fo_term_in_tableau&#39;vc.1" expl="precondition" proved="true">
<proof prover="3"><result status="valid" time="0.054084" steps="29"/></proof>
</goal>
<goal name="nlsubst_fo_term_in_tableau&#39;vc.2" expl="precondition" proved="true">
<proof prover="3"><result status="valid" time="0.150000" steps="45"/></proof>
</goal>
<goal name="nlsubst_fo_term_in_tableau&#39;vc.3" expl="precondition" proved="true">
<proof prover="3"><result status="valid" time="0.051614" steps="35"/></proof>
</goal>
<goal name="nlsubst_fo_term_in_tableau&#39;vc.4" expl="precondition" proved="true">
<proof prover="3"><result status="valid" time="0.060000" steps="36"/></proof>
</goal>
<goal name="nlsubst_fo_term_in_tableau&#39;vc.5" expl="postcondition" proved="true">
<proof prover="3"><result status="valid" time="0.060000" steps="21"/></proof>
</goal>
<goal name="nlsubst_fo_term_in_tableau&#39;vc.6" expl="postcondition" proved="true">
<proof prover="3"><result status="valid" time="0.039375" steps="25"/></proof>
</goal>
<goal name="nlsubst_fo_term_in_tableau&#39;vc.7" expl="precondition" proved="true">
<proof prover="3"><result status="valid" time="0.049067" steps="39"/></proof>
</goal>
<goal name="nlsubst_fo_term_in_tableau&#39;vc.8" expl="precondition" proved="true">
<proof prover="3"><result status="valid" time="0.060000" steps="42"/></proof>
</goal>
<goal name="nlsubst_fo_term_in_tableau&#39;vc.9" expl="precondition" proved="true">
<proof prover="3"><result status="valid" time="0.090000" steps="43"/></proof>
</goal>
<goal name="nlsubst_fo_term_in_tableau&#39;vc.10" expl="precondition" proved="true">
<proof prover="3"><result status="valid" time="0.070000" steps="45"/></proof>
</goal>
<goal name="nlsubst_fo_term_in_tableau&#39;vc.11" expl="assertion" proved="true">
<transf name="split_goal_right" proved="true" >
<goal name="nlsubst_fo_term_in_tableau&#39;vc.11.0" expl="assertion" proved="true">
<proof prover="10"><result status="valid" time="0.500000"/></proof>
</goal>
<goal name="nlsubst_fo_term_in_tableau&#39;vc.11.1" expl="assertion" proved="true">
<proof prover="3"><result status="valid" time="0.070000" steps="208"/></proof>
</goal>
<goal name="nlsubst_fo_term_in_tableau&#39;vc.11.2" expl="assertion" proved="true">
<proof prover="3"><result status="valid" time="0.080000" steps="198"/></proof>
</goal>
<goal name="nlsubst_fo_term_in_tableau&#39;vc.11.3" expl="assertion" proved="true">
<proof prover="0"><result status="valid" time="0.860000" steps="211297"/></proof>
</goal>
<goal name="nlsubst_fo_term_in_tableau&#39;vc.11.4" expl="assertion" proved="true">
<proof prover="3"><result status="valid" time="0.100000" steps="7"/></proof>
</goal>
<goal name="nlsubst_fo_term_in_tableau&#39;vc.11.5" expl="assertion" proved="true">
<proof prover="3"><result status="valid" time="0.150000" steps="862"/></proof>
</goal>
</transf>
</goal>
<goal name="nlsubst_fo_term_in_tableau&#39;vc.12" expl="assertion" proved="true">
<transf name="split_goal_right" proved="true" >
<goal name="nlsubst_fo_term_in_tableau&#39;vc.12.0" expl="assertion" proved="true">
<proof prover="3"><result status="valid" time="0.090000" steps="209"/></proof>
</goal>
<goal name="nlsubst_fo_term_in_tableau&#39;vc.12.1" expl="assertion" proved="true">
<proof prover="3" timelimit="20"><result status="valid" time="0.110000" steps="440"/></proof>
</goal>
<goal name="nlsubst_fo_term_in_tableau&#39;vc.12.2" expl="assertion" proved="true">
<proof prover="2"><result status="valid" time="0.410000"/></proof>
</goal>
<goal name="nlsubst_fo_term_in_tableau&#39;vc.12.3" expl="assertion" proved="true">
<proof prover="3"><result status="valid" time="0.060000" steps="50"/></proof>
</goal>
<goal name="nlsubst_fo_term_in_tableau&#39;vc.12.4" expl="assertion" proved="true">
<proof prover="3"><result status="valid" time="0.130000" steps="173"/></proof>
</goal>
</transf>
</goal>
<goal name="nlsubst_fo_term_in_tableau&#39;vc.13" expl="postcondition" proved="true">
<proof prover="3"><result status="valid" time="0.120000" steps="2413"/></proof>
</goal>
<goal name="nlsubst_fo_term_in_tableau&#39;vc.14" expl="postcondition" proved="true">
<proof prover="0"><result status="valid" time="0.400000" steps="211011"/></proof>
</goal>
</transf>
</goal>
</theory>
</file>
</why3session>