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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="Alt-Ergo" version="2.1.0" timelimit="5" steplimit="0" memlimit="1000"/>
<prover id="3" name="CVC4" version="1.5" timelimit="5" steplimit="0" memlimit="1000"/>
<prover id="4" name="Eprover" version="2.0" timelimit="5" steplimit="0" memlimit="1000"/>
<file format="whyml" proved="true">
<path name=".."/><path name="dyck.mlw"/>
<theory name="Dyck" proved="true">
<goal name="dyck_word_first" proved="true">
<proof prover="0"><result status="valid" time="0.000000" steps="44"/></proof>
</goal>
</theory>
<theory name="Check" proved="true">
<goal name="same_prefix'vc" expl="VC for same_prefix" proved="true">
<proof prover="0"><result status="valid" time="0.020000" steps="155"/></proof>
</goal>
<goal name="is_dyck_rec'vc" expl="VC for is_dyck_rec" proved="true">
<transf name="split_goal_right" proved="true" >
<goal name="is_dyck_rec'vc.0" expl="variant decrease" proved="true">
<proof prover="0"><result status="valid" time="0.000000" steps="9"/></proof>
</goal>
<goal name="is_dyck_rec'vc.1" expl="assertion" proved="true">
<proof prover="0"><result status="valid" time="0.080000" steps="1395"/></proof>
</goal>
<goal name="is_dyck_rec'vc.2" expl="variant decrease" proved="true">
<proof prover="0"><result status="valid" time="0.010000" steps="70"/></proof>
</goal>
<goal name="is_dyck_rec'vc.3" expl="postcondition" proved="true">
<transf name="split_goal_right" proved="true" >
<goal name="is_dyck_rec'vc.3.0" expl="VC for is_dyck_rec" proved="true">
<proof prover="0"><result status="valid" time="0.020000" steps="90"/></proof>
</goal>
<goal name="is_dyck_rec'vc.3.1" expl="VC for is_dyck_rec" proved="true">
<proof prover="0"><result status="valid" time="0.010000" steps="22"/></proof>
</goal>
<goal name="is_dyck_rec'vc.3.2" expl="VC for is_dyck_rec" proved="true">
<transf name="inline_all" proved="true" >
<goal name="is_dyck_rec'vc.3.2.0" expl="VC for is_dyck_rec" proved="true">
<proof prover="3"><result status="valid" time="0.240000" steps="30482"/></proof>
</goal>
</transf>
</goal>
<goal name="is_dyck_rec'vc.3.3" expl="VC for is_dyck_rec" proved="true">
<proof prover="0"><result status="valid" time="0.010000" steps="30"/></proof>
</goal>
</transf>
</goal>
<goal name="is_dyck_rec'vc.4" expl="exceptional postcondition" proved="true">
<proof prover="3" timelimit="1"><result status="valid" time="0.080000" steps="16735"/></proof>
</goal>
<goal name="is_dyck_rec'vc.5" expl="exceptional postcondition" proved="true">
<transf name="inline_all" proved="true" >
<goal name="is_dyck_rec'vc.5.0" expl="exceptional postcondition" proved="true">
<proof prover="3"><result status="valid" time="0.520000" steps="62925"/></proof>
</goal>
</transf>
</goal>
<goal name="is_dyck_rec'vc.6" expl="exceptional postcondition" proved="true">
<proof prover="0"><result status="valid" time="2.070000" steps="10579"/></proof>
</goal>
<goal name="is_dyck_rec'vc.7" expl="postcondition" proved="true">
<proof prover="0"><result status="valid" time="0.480000" steps="745"/></proof>
</goal>
<goal name="is_dyck_rec'vc.8" expl="postcondition" proved="true">
<proof prover="0"><result status="valid" time="0.140000" steps="216"/></proof>
</goal>
</transf>
</goal>
<goal name="is_dyck'vc" expl="VC for is_dyck" proved="true">
<transf name="split_goal_right" proved="true" >
<goal name="is_dyck'vc.0" expl="postcondition" proved="true">
<proof prover="4"><result status="valid" time="0.020000"/></proof>
</goal>
<goal name="is_dyck'vc.1" expl="postcondition" proved="true">
<proof prover="4"><result status="valid" time="0.010000"/></proof>
</goal>
</transf>
</goal>
</theory>
</file>
</why3session>
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