mirror of
https://github.com/AdaCore/why3.git
synced 2026-02-12 12:34:55 -08:00
328 lines
17 KiB
XML
328 lines
17 KiB
XML
<?xml version="1.0" encoding="UTF-8"?>
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<!DOCTYPE why3session PUBLIC "-//Why3//proof session v5//EN"
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"https://www.why3.org/why3session.dtd">
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<why3session shape_version="6">
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<prover id="1" name="Alt-Ergo" version="2.6.2" timelimit="1" steplimit="0" memlimit="1000"/>
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<prover id="2" name="CVC5" version="1.0.5" timelimit="1" steplimit="0" memlimit="1000"/>
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<prover id="3" name="Z3" version="4.12.2" timelimit="5" steplimit="0" memlimit="1000"/>
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<prover id="4" name="CVC4" version="1.7" timelimit="1" steplimit="0" memlimit="1000"/>
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<prover id="6" name="CVC5" version="1.2.0" timelimit="5" steplimit="0" memlimit="1000"/>
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<file format="whyml" proved="true">
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<path name=".."/><path name="list_removal.mlw"/>
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<theory name="Top" proved="true">
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<goal name="list'vc" expl="VC for list" proved="true">
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<transf name="split_vc" proved="true" >
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<goal name="list'vc.0" expl="variant decrease" proved="true">
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<proof prover="1"><result status="valid" time="0.000000" steps="12"/></proof>
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</goal>
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<goal name="list'vc.1" expl="precondition" proved="true">
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<proof prover="1"><result status="valid" time="0.000000" steps="12"/></proof>
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</goal>
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</transf>
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</goal>
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<goal name="list_concat'vc" expl="VC for list_concat" proved="true">
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<transf name="split_vc" proved="true" >
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<goal name="list_concat'vc.0" expl="variant decrease" proved="true">
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<proof prover="1"><result status="valid" time="0.000000" steps="18"/></proof>
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</goal>
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<goal name="list_concat'vc.1" expl="precondition" proved="true">
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<proof prover="1"><result status="valid" time="0.000000" steps="18"/></proof>
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</goal>
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<goal name="list_concat'vc.2" expl="precondition" proved="true">
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<proof prover="1"><result status="valid" time="0.000000" steps="18"/></proof>
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</goal>
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<goal name="list_concat'vc.3" expl="precondition" proved="true">
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<proof prover="4"><result status="valid" time="0.030000" steps="823"/></proof>
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</goal>
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<goal name="list_concat'vc.4" expl="precondition" proved="true">
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<proof prover="4"><result status="valid" time="0.020000" steps="405"/></proof>
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</goal>
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<goal name="list_concat'vc.5" expl="precondition" proved="true">
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<proof prover="4"><result status="valid" time="0.010000" steps="410"/></proof>
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</goal>
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<goal name="list_concat'vc.6" expl="postcondition" proved="true">
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<proof prover="1" timelimit="5"><result status="valid" time="0.000000" steps="54"/></proof>
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</goal>
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</transf>
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</goal>
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<goal name="path_shorten" proved="true">
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<proof prover="1"><result status="valid" time="0.000000" steps="14"/></proof>
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</goal>
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<goal name="path_extend" proved="true">
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<proof prover="1" timelimit="5"><result status="valid" time="0.043664" steps="95"/></proof>
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</goal>
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<goal name="no_cycle_to_null'vc" expl="VC for no_cycle_to_null" proved="true">
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<transf name="split_vc" proved="true" >
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<goal name="no_cycle_to_null'vc.0" expl="precondition" proved="true">
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<proof prover="1"><result status="valid" time="0.020000" steps="18"/></proof>
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</goal>
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<goal name="no_cycle_to_null'vc.1" expl="precondition" proved="true">
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<proof prover="1"><result status="valid" time="0.000000" steps="18"/></proof>
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</goal>
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<goal name="no_cycle_to_null'vc.2" expl="precondition" proved="true">
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<proof prover="4"><result status="valid" time="0.040000" steps="1293"/></proof>
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</goal>
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<goal name="no_cycle_to_null'vc.3" expl="precondition" proved="true">
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<proof prover="4"><result status="valid" time="0.030000" steps="880"/></proof>
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</goal>
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<goal name="no_cycle_to_null'vc.4" expl="precondition" proved="true">
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<proof prover="4"><result status="valid" time="0.020000" steps="1528"/></proof>
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</goal>
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<goal name="no_cycle_to_null'vc.5" expl="variant decrease" proved="true">
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<proof prover="1"><result status="valid" time="0.010000" steps="20"/></proof>
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</goal>
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<goal name="no_cycle_to_null'vc.6" expl="precondition" proved="true">
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<proof prover="1"><result status="valid" time="0.000000" steps="20"/></proof>
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</goal>
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<goal name="no_cycle_to_null'vc.7" expl="precondition" proved="true">
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<proof prover="1"><result status="valid" time="0.000000" steps="20"/></proof>
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</goal>
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<goal name="no_cycle_to_null'vc.8" expl="precondition" proved="true">
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<proof prover="1"><result status="valid" time="0.010000" steps="22"/></proof>
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</goal>
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<goal name="no_cycle_to_null'vc.9" expl="precondition" proved="true">
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<proof prover="1"><result status="valid" time="0.000000" steps="22"/></proof>
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</goal>
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<goal name="no_cycle_to_null'vc.10" expl="precondition" proved="true">
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<proof prover="1"><result status="valid" time="0.000000" steps="25"/></proof>
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</goal>
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<goal name="no_cycle_to_null'vc.11" expl="postcondition" proved="true">
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<proof prover="1"><result status="valid" time="0.000000" steps="18"/></proof>
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</goal>
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</transf>
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</goal>
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<goal name="jump_over'vc" expl="VC for jump_over" proved="true">
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<transf name="split_vc" proved="true" >
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<goal name="jump_over'vc.0" expl="assertion" proved="true">
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<proof prover="4"><result status="valid" time="0.060000" steps="1478"/></proof>
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</goal>
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<goal name="jump_over'vc.1" expl="variant decrease" proved="true">
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<proof prover="4"><result status="valid" time="0.020000" steps="1130"/></proof>
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</goal>
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<goal name="jump_over'vc.2" expl="precondition" proved="true">
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<proof prover="4"><result status="valid" time="0.030000" steps="1226"/></proof>
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</goal>
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<goal name="jump_over'vc.3" expl="precondition" proved="true">
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<proof prover="4"><result status="valid" time="0.020000" steps="2048"/></proof>
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</goal>
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<goal name="jump_over'vc.4" expl="precondition" proved="true">
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<proof prover="4"><result status="valid" time="0.060000" steps="8417"/></proof>
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</goal>
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<goal name="jump_over'vc.5" expl="precondition" proved="true">
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<proof prover="4"><result status="valid" time="0.020000" steps="1173"/></proof>
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</goal>
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<goal name="jump_over'vc.6" expl="precondition" proved="true">
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<proof prover="4"><result status="valid" time="0.020000" steps="2271"/></proof>
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</goal>
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<goal name="jump_over'vc.7" expl="postcondition" proved="true">
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<proof prover="4"><result status="valid" time="0.020000" steps="13432"/></proof>
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</goal>
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<goal name="jump_over'vc.8" expl="variant decrease" proved="true">
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<proof prover="4"><result status="valid" time="0.020000" steps="1086"/></proof>
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</goal>
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<goal name="jump_over'vc.9" expl="precondition" proved="true">
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<proof prover="4"><result status="valid" time="0.020000" steps="1072"/></proof>
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</goal>
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<goal name="jump_over'vc.10" expl="precondition" proved="true">
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<proof prover="4"><result status="valid" time="0.020000" steps="1801"/></proof>
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</goal>
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<goal name="jump_over'vc.11" expl="postcondition" proved="true">
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<proof prover="2"><result status="valid" time="0.160000" steps="16928"/></proof>
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</goal>
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<goal name="jump_over'vc.12" expl="precondition" proved="true">
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<proof prover="4"><result status="valid" time="0.030000" steps="1015"/></proof>
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</goal>
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<goal name="jump_over'vc.13" expl="precondition" proved="true">
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<proof prover="4"><result status="valid" time="0.020000" steps="2620"/></proof>
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</goal>
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<goal name="jump_over'vc.14" expl="precondition" proved="true">
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<proof prover="4"><result status="valid" time="0.030000" steps="1756"/></proof>
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</goal>
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<goal name="jump_over'vc.15" expl="precondition" proved="true">
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<proof prover="4"><result status="valid" time="0.020000" steps="1148"/></proof>
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</goal>
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<goal name="jump_over'vc.16" expl="precondition" proved="true">
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<proof prover="4"><result status="valid" time="0.010000" steps="1062"/></proof>
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</goal>
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<goal name="jump_over'vc.17" expl="assertion" proved="true">
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<proof prover="4"><result status="valid" time="0.030000" steps="1844"/></proof>
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</goal>
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<goal name="jump_over'vc.18" expl="assertion" proved="true">
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<proof prover="4"><result status="valid" time="0.030000" steps="1659"/></proof>
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</goal>
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<goal name="jump_over'vc.19" expl="precondition" proved="true">
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<proof prover="4"><result status="valid" time="0.020000" steps="1069"/></proof>
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</goal>
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<goal name="jump_over'vc.20" expl="precondition" proved="true">
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<proof prover="4"><result status="valid" time="0.020000" steps="1072"/></proof>
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</goal>
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<goal name="jump_over'vc.21" expl="postcondition" proved="true">
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<proof prover="4"><result status="valid" time="0.080000" steps="4913"/></proof>
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</goal>
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</transf>
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</goal>
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<goal name="remove1'vc" expl="VC for remove1" proved="true">
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<transf name="split_vc" proved="true" >
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<goal name="remove1'vc.0" expl="precondition" proved="true">
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<proof prover="4"><result status="valid" time="0.030000" steps="1168"/></proof>
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</goal>
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<goal name="remove1'vc.1" expl="loop invariant init" proved="true">
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<transf name="split_vc" proved="true" >
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<goal name="remove1'vc.1.0" expl="loop invariant init" proved="true">
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<proof prover="1"><result status="valid" time="0.010000" steps="14"/></proof>
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</goal>
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<goal name="remove1'vc.1.1" expl="loop invariant init" proved="true">
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<proof prover="1"><result status="valid" time="0.010000" steps="14"/></proof>
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</goal>
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</transf>
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</goal>
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<goal name="remove1'vc.2" expl="loop invariant init" proved="true">
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<proof prover="1"><result status="valid" time="0.000000" steps="30"/></proof>
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</goal>
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<goal name="remove1'vc.3" expl="loop invariant init" proved="true">
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<proof prover="1"><result status="valid" time="0.000000" steps="74"/></proof>
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</goal>
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<goal name="remove1'vc.4" expl="loop invariant init" proved="true">
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<proof prover="4"><result status="valid" time="0.020000" steps="1234"/></proof>
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</goal>
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<goal name="remove1'vc.5" expl="loop invariant init" proved="true">
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<proof prover="1"><result status="valid" time="0.000000" steps="20"/></proof>
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</goal>
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<goal name="remove1'vc.6" expl="loop invariant init" proved="true">
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<proof prover="1"><result status="valid" time="0.000000" steps="20"/></proof>
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</goal>
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<goal name="remove1'vc.7" expl="loop invariant init" proved="true">
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<proof prover="1"><result status="valid" time="0.000000" steps="22"/></proof>
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</goal>
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<goal name="remove1'vc.8" expl="loop invariant init" proved="true">
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<proof prover="1"><result status="valid" time="0.000000" steps="22"/></proof>
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</goal>
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<goal name="remove1'vc.9" expl="precondition" proved="true">
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<proof prover="4"><result status="valid" time="0.020000" steps="1377"/></proof>
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</goal>
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<goal name="remove1'vc.10" expl="loop variant decrease" proved="true">
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<proof prover="1"><result status="valid" time="0.000000" steps="32"/></proof>
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</goal>
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<goal name="remove1'vc.11" expl="loop invariant preservation" proved="true">
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<proof prover="1"><result status="valid" time="0.010000" steps="36"/></proof>
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</goal>
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<goal name="remove1'vc.12" expl="loop invariant preservation" proved="true">
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<proof prover="1"><result status="valid" time="0.010000" steps="39"/></proof>
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</goal>
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<goal name="remove1'vc.13" expl="loop invariant preservation" proved="true">
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<proof prover="1"><result status="valid" time="0.010000" steps="203"/></proof>
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</goal>
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<goal name="remove1'vc.14" expl="loop invariant preservation" proved="true">
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<proof prover="4"><result status="valid" time="0.010000" steps="1536"/></proof>
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</goal>
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<goal name="remove1'vc.15" expl="loop invariant preservation" proved="true">
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<proof prover="1"><result status="valid" time="0.000000" steps="40"/></proof>
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</goal>
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<goal name="remove1'vc.16" expl="loop invariant preservation" proved="true">
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<proof prover="1"><result status="valid" time="0.000000" steps="41"/></proof>
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</goal>
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<goal name="remove1'vc.17" expl="loop invariant preservation" proved="true">
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<proof prover="1"><result status="valid" time="0.000000" steps="46"/></proof>
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</goal>
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<goal name="remove1'vc.18" expl="loop invariant preservation" proved="true">
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<proof prover="6"><result status="valid" time="0.036417" steps="1050"/></proof>
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</goal>
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<goal name="remove1'vc.19" expl="precondition" proved="true">
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<proof prover="4"><result status="valid" time="0.020000" steps="1373"/></proof>
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</goal>
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<goal name="remove1'vc.20" expl="precondition" proved="true">
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<proof prover="4"><result status="valid" time="0.030000" steps="2440"/></proof>
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</goal>
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<goal name="remove1'vc.21" expl="precondition" proved="true">
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<proof prover="1"><result status="valid" time="0.000000" steps="33"/></proof>
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</goal>
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<goal name="remove1'vc.22" expl="precondition" proved="true">
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<proof prover="4"><result status="valid" time="0.020000" steps="3742"/></proof>
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</goal>
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<goal name="remove1'vc.23" expl="precondition" proved="true">
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<proof prover="4"><result status="valid" time="0.010000" steps="1421"/></proof>
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</goal>
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<goal name="remove1'vc.24" expl="precondition" proved="true">
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<proof prover="4"><result status="valid" time="0.020000" steps="4064"/></proof>
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</goal>
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<goal name="remove1'vc.25" expl="precondition" proved="true">
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<proof prover="1"><result status="valid" time="0.020000" steps="32"/></proof>
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</goal>
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<goal name="remove1'vc.26" expl="precondition" proved="true">
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<proof prover="4"><result status="valid" time="0.020000" steps="1412"/></proof>
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</goal>
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<goal name="remove1'vc.27" expl="postcondition" proved="true">
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<proof prover="3"><result status="valid" time="0.010000" steps="7210"/></proof>
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</goal>
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<goal name="remove1'vc.28" expl="precondition" proved="true">
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<proof prover="1"><result status="valid" time="0.000000" steps="32"/></proof>
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</goal>
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<goal name="remove1'vc.29" expl="precondition" proved="true">
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<transf name="split_vc" proved="true" >
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<goal name="remove1'vc.29.0" expl="precondition" proved="true">
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<proof prover="3" timelimit="10"><result status="valid" time="0.010000" steps="560"/></proof>
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</goal>
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</transf>
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</goal>
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<goal name="remove1'vc.30" expl="postcondition" proved="true">
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<proof prover="2"><result status="valid" time="0.170000" steps="17712"/></proof>
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</goal>
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</transf>
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</goal>
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<goal name="remove2'vc" expl="VC for remove2" proved="true">
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<transf name="split_vc" proved="true" >
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<goal name="remove2'vc.0" expl="loop invariant init" proved="true">
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<proof prover="1"><result status="valid" time="0.010000" steps="14"/></proof>
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</goal>
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<goal name="remove2'vc.1" expl="loop invariant init" proved="true">
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<proof prover="1"><result status="valid" time="0.000000" steps="16"/></proof>
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</goal>
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<goal name="remove2'vc.2" expl="loop invariant init" proved="true">
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<proof prover="1"><result status="valid" time="0.000000" steps="18"/></proof>
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</goal>
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<goal name="remove2'vc.3" expl="loop invariant init" proved="true">
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<proof prover="1"><result status="valid" time="0.000000" steps="20"/></proof>
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</goal>
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<goal name="remove2'vc.4" expl="loop invariant init" proved="true">
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<proof prover="1"><result status="valid" time="0.010000" steps="20"/></proof>
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</goal>
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<goal name="remove2'vc.5" expl="precondition" proved="true">
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<proof prover="1"><result status="valid" time="0.010000" steps="24"/></proof>
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</goal>
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<goal name="remove2'vc.6" expl="precondition" proved="true">
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<proof prover="1"><result status="valid" time="0.010000" steps="26"/></proof>
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<proof prover="4"><result status="valid" time="0.020000" steps="1293"/></proof>
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</goal>
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<goal name="remove2'vc.7" expl="loop variant decrease" proved="true">
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<proof prover="1"><result status="valid" time="0.000000" steps="30"/></proof>
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</goal>
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<goal name="remove2'vc.8" expl="loop invariant preservation" proved="true">
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<proof prover="1"><result status="valid" time="0.000000" steps="32"/></proof>
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</goal>
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<goal name="remove2'vc.9" expl="loop invariant preservation" proved="true">
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<proof prover="1"><result status="valid" time="0.000000" steps="35"/></proof>
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</goal>
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<goal name="remove2'vc.10" expl="loop invariant preservation" proved="true">
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<proof prover="1"><result status="valid" time="0.000000" steps="37"/></proof>
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</goal>
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<goal name="remove2'vc.11" expl="loop invariant preservation" proved="true">
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<proof prover="1"><result status="valid" time="0.010000" steps="39"/></proof>
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</goal>
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<goal name="remove2'vc.12" expl="loop invariant preservation" proved="true">
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<proof prover="1"><result status="valid" time="0.000000" steps="39"/></proof>
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</goal>
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<goal name="remove2'vc.13" expl="precondition" proved="true">
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<proof prover="4"><result status="valid" time="0.020000" steps="1289"/></proof>
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</goal>
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<goal name="remove2'vc.14" expl="precondition" proved="true">
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<proof prover="1"><result status="valid" time="0.000000" steps="26"/></proof>
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</goal>
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<goal name="remove2'vc.15" expl="postcondition" proved="true">
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<proof prover="3" timelimit="1"><result status="valid" time="0.010000" steps="12894"/></proof>
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</goal>
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</transf>
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</goal>
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</theory>
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</file>
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</why3session>
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