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<?xml version="1.0" encoding="UTF-8"?>
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<!DOCTYPE why3session PUBLIC "-//Why3//proof session v5//EN"
"http://why3.lri.fr/why3session.dtd">
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<why3session shape_version="4">
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<prover id="0" name="CVC4" version="1.4" timelimit="5" memlimit="1000"/>
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<prover id="3" name="Alt-Ergo" version="0.99.1" timelimit="5" memlimit="1000"/>
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<prover id="5" name="Z3" version="4.3.2" timelimit="10" memlimit="1000"/>
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<prover id="6" name="Z3" version="4.4.0" timelimit="5" memlimit="1000"/>
<file name="../linked_list_rev.mlw" expanded="true">
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<theory name="Disjoint" sum="9c582db93bf8e816b74d113c3748231e">
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 <goal name="WP_parameter mem_decomp" expl="VC for mem_decomp">
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 <proof prover="3"><result status="valid" time="0.02" steps="48"/></proof>
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 </goal>
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</theory>
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<theory name="InPlaceRev" sum="a7297b137cc5c020b4e5c498e6a72165" expanded="true">
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 <goal name="WP_parameter list_seg_frame_ext" expl="VC for list_seg_frame_ext">
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 <proof prover="3"><result status="valid" time="0.16" steps="242"/></proof>
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 </goal>
 <goal name="WP_parameter list_seg_functional" expl="VC for list_seg_functional">
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 <proof prover="3"><result status="valid" time="0.10" steps="357"/></proof>
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 </goal>
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 <goal name="WP_parameter list_seg_sublistl" expl="VC for list_seg_sublistl">
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 <proof prover="0"><result status="valid" time="0.28"/></proof>
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 </goal>
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 <goal name="WP_parameter list_seg_no_repet" expl="VC for list_seg_no_repet">
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 <proof prover="3"><result status="valid" time="0.36" steps="245"/></proof>
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 </goal>
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 <goal name="WP_parameter list_seg_append" expl="VC for list_seg_append">
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 <proof prover="3"><result status="valid" time="0.23" steps="721"/></proof>
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 </goal>
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 <goal name="WP_parameter app" expl="VC for app">
 <transf name="split_goal_wp">
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  <goal name="WP_parameter app.1" expl="1. postcondition">
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  <proof prover="3"><result status="valid" time="0.03" steps="30"/></proof>
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  </goal>
  <goal name="WP_parameter app.2" expl="2. loop invariant init">
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  <proof prover="3"><result status="valid" time="0.01" steps="4"/></proof>
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  </goal>
  <goal name="WP_parameter app.3" expl="3. loop invariant init">
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  <proof prover="3"><result status="valid" time="0.02" steps="9"/></proof>
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  </goal>
  <goal name="WP_parameter app.4" expl="4. loop invariant init">
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  <proof prover="3"><result status="valid" time="0.01" steps="4"/></proof>
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  </goal>
  <goal name="WP_parameter app.5" expl="5. loop invariant init">
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  <proof prover="3"><result status="valid" time="0.01" steps="10"/></proof>
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  </goal>
  <goal name="WP_parameter app.6" expl="6. loop invariant init">
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  <proof prover="3"><result status="valid" time="0.00" steps="11"/></proof>
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  </goal>
  <goal name="WP_parameter app.7" expl="7. precondition">
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  <proof prover="3"><result status="valid" time="0.01" steps="9"/></proof>
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  </goal>
  <goal name="WP_parameter app.8" expl="8. unreachable point">
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  <proof prover="3"><result status="valid" time="0.06" steps="91"/></proof>
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  </goal>
  <goal name="WP_parameter app.9" expl="9. precondition">
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  <proof prover="3"><result status="valid" time="0.01" steps="13"/></proof>
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  </goal>
  <goal name="WP_parameter app.10" expl="10. loop invariant preservation">
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  <proof prover="3"><result status="valid" time="0.01" steps="14"/></proof>
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  </goal>
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  <goal name="WP_parameter app.11" expl="11. loop invariant preservation">
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  <proof prover="5" timelimit="5"><result status="valid" time="0.02"/></proof>
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  </goal>
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  <goal name="WP_parameter app.12" expl="12. loop invariant preservation">
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  <proof prover="3"><result status="valid" time="0.08" steps="148"/></proof>
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  </goal>
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  <goal name="WP_parameter app.13" expl="13. loop invariant preservation">
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  <proof prover="3"><result status="valid" time="0.06" steps="143"/></proof>
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  </goal>
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  <goal name="WP_parameter app.14" expl="14. loop invariant preservation">
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  <proof prover="3"><result status="valid" time="0.32" steps="694"/></proof>
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  </goal>
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  <goal name="WP_parameter app.15" expl="15. loop variant decrease">
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  <proof prover="3"><result status="valid" time="0.03" steps="46"/></proof>
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  </goal>
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  <goal name="WP_parameter app.16" expl="16. precondition">
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  <proof prover="3"><result status="valid" time="0.02" steps="10"/></proof>
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  </goal>
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  <goal name="WP_parameter app.17" expl="17. assertion">
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  <proof prover="3"><result status="valid" time="0.16" steps="91"/></proof>
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  </goal>
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  <goal name="WP_parameter app.18" expl="18. assertion">
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  <proof prover="3"><result status="valid" time="0.02" steps="23"/></proof>
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  </goal>
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  <goal name="WP_parameter app.19" expl="19. assertion">
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  <proof prover="3"><result status="valid" time="0.32" steps="312"/></proof>
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  </goal>
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  <goal name="WP_parameter app.20" expl="20. postcondition">
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  <proof prover="0"><result status="valid" time="0.23"/></proof>
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  </goal>
 </transf>
 </goal>
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 <goal name="WP_parameter in_place_reverse" expl="VC for in_place_reverse">
 <transf name="split_goal_wp">
  <goal name="WP_parameter in_place_reverse.1" expl="1. loop invariant init">
  <proof prover="3"><result status="valid" time="0.01" steps="1"/></proof>
  </goal>
  <goal name="WP_parameter in_place_reverse.2" expl="2. loop invariant init">
  <proof prover="3"><result status="valid" time="0.02" steps="6"/></proof>
  </goal>
  <goal name="WP_parameter in_place_reverse.3" expl="3. loop invariant init">
  <proof prover="3"><result status="valid" time="0.01" steps="8"/></proof>
  </goal>
  <goal name="WP_parameter in_place_reverse.4" expl="4. loop invariant init">
  <proof prover="3"><result status="valid" time="0.01" steps="9"/></proof>
  </goal>
  <goal name="WP_parameter in_place_reverse.5" expl="5. assertion">
  <proof prover="3"><result status="valid" time="0.09" steps="153"/></proof>
  </goal>
  <goal name="WP_parameter in_place_reverse.6" expl="6. unreachable point">
  <proof prover="3"><result status="valid" time="0.05" steps="165"/></proof>
  </goal>
  <goal name="WP_parameter in_place_reverse.7" expl="7. loop invariant preservation">
  <proof prover="3"><result status="valid" time="0.30" steps="591"/></proof>
  </goal>
  <goal name="WP_parameter in_place_reverse.8" expl="8. loop invariant preservation">
  <proof prover="3"><result status="valid" time="0.11" steps="240"/></proof>
  </goal>
  <goal name="WP_parameter in_place_reverse.9" expl="9. loop invariant preservation">
  <proof prover="3"><result status="valid" time="0.56" steps="431"/></proof>
  </goal>
  <goal name="WP_parameter in_place_reverse.10" expl="10. loop invariant preservation">
  <proof prover="3"><result status="valid" time="0.01" steps="16"/></proof>
  </goal>
  <goal name="WP_parameter in_place_reverse.11" expl="11. loop variant decrease">
  <proof prover="3"><result status="valid" time="0.02" steps="58"/></proof>
  </goal>
  <goal name="WP_parameter in_place_reverse.12" expl="12. postcondition">
  <proof prover="3"><result status="valid" time="0.06" steps="163"/></proof>
  </goal>
 </transf>
 </goal>
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</theory>
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<theory name="InPlaceRevSeq" sum="30a608b3a69381c1200472269902ac18" expanded="true">
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 <goal name="WP_parameter mem_decomp" expl="VC for mem_decomp">
 <transf name="split_goal_wp">
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  <goal name="WP_parameter mem_decomp.1" expl="1. postcondition">
  <proof prover="3" timelimit="60"><result status="valid" time="0.02" steps="61"/></proof>
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  </goal>
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  <goal name="WP_parameter mem_decomp.2" expl="2. variant decrease">
  <proof prover="3" timelimit="60"><result status="valid" time="0.01" steps="4"/></proof>
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  </goal>
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  <goal name="WP_parameter mem_decomp.3" expl="3. precondition">
  <proof prover="3" timelimit="60"><result status="valid" time="0.04" steps="15"/></proof>
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  </goal>
  <goal name="WP_parameter mem_decomp.4" expl="4. precondition">
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  <proof prover="6" timelimit="60"><result status="valid" time="12.20"/></proof>
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  </goal>
  <goal name="WP_parameter mem_decomp.5" expl="5. postcondition">
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  <proof prover="3" timelimit="60"><result status="valid" time="0.02" steps="8"/></proof>
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  </goal>
 </transf>
 </goal>
 <goal name="list_seg_frame_ext">
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 <proof prover="3" timelimit="10"><result status="valid" time="0.02" steps="28"/></proof>
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 </goal>
 <goal name="non_empty_seq">
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 <proof prover="3" timelimit="10"><result status="valid" time="0.02" steps="22"/></proof>
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 </goal>
 <goal name="WP_parameter list_seg_functional" expl="VC for list_seg_functional">
 <transf name="split_goal_wp">
  <goal name="WP_parameter list_seg_functional.1" expl="1. assertion">
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  <proof prover="3" timelimit="10"><result status="valid" time="0.02" steps="13"/></proof>
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  </goal>
  <goal name="WP_parameter list_seg_functional.2" expl="2. variant decrease">
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  <proof prover="6"><result status="valid" time="0.01"/></proof>
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  </goal>
  <goal name="WP_parameter list_seg_functional.3" expl="3. precondition">
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  <proof prover="6"><result status="valid" time="0.31"/></proof>
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  </goal>
  <goal name="WP_parameter list_seg_functional.4" expl="4. precondition">
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  <proof prover="6"><result status="valid" time="0.20"/></proof>
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  </goal>
  <goal name="WP_parameter list_seg_functional.5" expl="5. postcondition">
  <proof prover="5"><result status="valid" time="0.02"/></proof>
  </goal>
  <goal name="WP_parameter list_seg_functional.6" expl="6. postcondition">
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  <proof prover="3" timelimit="10"><result status="valid" time="0.02" steps="26"/></proof>
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  </goal>
 </transf>
 </goal>
 <goal name="WP_parameter list_seg_tail" expl="VC for list_seg_tail">
 <transf name="split_goal_wp">
  <goal name="WP_parameter list_seg_tail.1" expl="1. variant decrease">
  <proof prover="3" timelimit="80"><result status="valid" time="0.01" steps="17"/></proof>
  </goal>
  <goal name="WP_parameter list_seg_tail.2" expl="2. precondition">
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  <proof prover="3" timelimit="80"><result status="valid" time="0.08" steps="192"/></proof>
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  </goal>
  <goal name="WP_parameter list_seg_tail.3" expl="3. precondition">
  <proof prover="3" timelimit="80"><result status="valid" time="0.03" steps="17"/></proof>
  </goal>
  <goal name="WP_parameter list_seg_tail.4" expl="4. postcondition">
  <proof prover="3" timelimit="80"><result status="valid" time="0.02" steps="6"/></proof>
  </goal>
  <goal name="WP_parameter list_seg_tail.5" expl="5. postcondition">
  <proof prover="3" timelimit="80"><result status="valid" time="0.04" steps="24"/></proof>
  </goal>
 </transf>
 </goal>
 <goal name="WP_parameter list_seg_append" expl="VC for list_seg_append">
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 <transf name="split_goal_wp">
  <goal name="WP_parameter list_seg_append.1" expl="1. variant decrease">
  <proof prover="5" timelimit="6"><result status="valid" time="0.03"/></proof>
  </goal>
  <goal name="WP_parameter list_seg_append.2" expl="2. precondition">
  <proof prover="5" timelimit="6"><result status="valid" time="0.02"/></proof>
  </goal>
  <goal name="WP_parameter list_seg_append.3" expl="3. precondition">
  <proof prover="5" timelimit="6"><result status="valid" time="0.02"/></proof>
  </goal>
  <goal name="WP_parameter list_seg_append.4" expl="4. postcondition">
  <transf name="simplify_trivial_quantification">
   <goal name="WP_parameter list_seg_append.4.1" expl="1. postcondition">
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   <proof prover="5" timelimit="15"><result status="valid" time="4.87"/></proof>
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   </goal>
  </transf>
  </goal>
  <goal name="WP_parameter list_seg_append.5" expl="5. postcondition">
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  <proof prover="5" timelimit="6"><result status="valid" time="0.04"/></proof>
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  </goal>
 </transf>
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 </goal>
 <goal name="seq_tail_append">
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 <proof prover="3" timelimit="10"><result status="valid" time="0.05" steps="52"/></proof>
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 </goal>
 <goal name="WP_parameter list_seg_prefix" expl="VC for list_seg_prefix">
 <transf name="split_goal_wp">
  <goal name="WP_parameter list_seg_prefix.1" expl="1. precondition">
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  <proof prover="3" timelimit="10"><result status="valid" time="0.03" steps="2"/></proof>
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  </goal>
  <goal name="WP_parameter list_seg_prefix.2" expl="2. precondition">
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  <proof prover="3" timelimit="10"><result status="valid" time="0.02" steps="8"/></proof>
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  </goal>
  <goal name="WP_parameter list_seg_prefix.3" expl="3. variant decrease">
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  <proof prover="3" timelimit="10"><result status="valid" time="0.06" steps="22"/></proof>
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  </goal>
  <goal name="WP_parameter list_seg_prefix.4" expl="4. precondition">
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  <proof prover="3" timelimit="10"><result status="valid" time="0.05" steps="60"/></proof>
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  </goal>
  <goal name="WP_parameter list_seg_prefix.5" expl="5. postcondition">
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  <proof prover="5"><result status="valid" time="2.03"/></proof>
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  </goal>
  <goal name="WP_parameter list_seg_prefix.6" expl="6. postcondition">
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  <proof prover="3" timelimit="10"><result status="valid" time="2.51" steps="1137"/></proof>
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  <proof prover="5"><result status="valid" time="0.02"/></proof>
  </goal>
 </transf>
 </goal>
 <goal name="WP_parameter list_seg_sublistl" expl="VC for list_seg_sublistl">
 <transf name="split_goal_wp">
  <goal name="WP_parameter list_seg_sublistl.1" expl="1. assertion">
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  <proof prover="3" timelimit="10"><result status="valid" time="0.02" steps="13"/></proof>
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  </goal>
  <goal name="WP_parameter list_seg_sublistl.2" expl="2. precondition">
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  <proof prover="3" timelimit="10"><result status="valid" time="0.02" steps="3"/></proof>
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  </goal>
  <goal name="WP_parameter list_seg_sublistl.3" expl="3. precondition">
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  <proof prover="3" timelimit="10"><result status="valid" time="0.03" steps="3"/></proof>
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  </goal>
  <goal name="WP_parameter list_seg_sublistl.4" expl="4. variant decrease">
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  <proof prover="3" timelimit="25"><result status="valid" time="0.14" steps="69"/></proof>
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  </goal>
  <goal name="WP_parameter list_seg_sublistl.5" expl="5. precondition">
  <proof prover="5"><result status="valid" time="0.02"/></proof>
  </goal>
  <goal name="WP_parameter list_seg_sublistl.6" expl="6. postcondition">
  <proof prover="3" timelimit="25"><result status="valid" time="0.02" steps="6"/></proof>
  </goal>
  <goal name="WP_parameter list_seg_sublistl.7" expl="7. postcondition">
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  <proof prover="3" timelimit="25"><result status="valid" time="0.36" steps="529"/></proof>
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  </goal>
 </transf>
 </goal>
 <goal name="get_tail">
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 <proof prover="3" timelimit="10"><result status="valid" time="0.03" steps="10"/></proof>
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 </goal>
 <goal name="tail_suffix">
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 <proof prover="3" timelimit="10"><result status="valid" time="0.03" steps="39"/></proof>
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 </goal>
 <goal name="WP_parameter list_seg_no_repet" expl="VC for list_seg_no_repet">
 <transf name="split_goal_wp">
  <goal name="WP_parameter list_seg_no_repet.1" expl="1. precondition">
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  <proof prover="3" timelimit="60"><result status="valid" time="0.03" steps="6"/></proof>
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  </goal>
  <goal name="WP_parameter list_seg_no_repet.2" expl="2. precondition">
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  <proof prover="3" timelimit="10"><result status="valid" time="0.02" steps="21"/></proof>
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  </goal>
  <goal name="WP_parameter list_seg_no_repet.3" expl="3. precondition">
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  <transf name="introduce_premises">
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   <goal name="WP_parameter list_seg_no_repet.3.1" expl="1. precondition">
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   <proof prover="0" timelimit="10"><result status="valid" time="0.12"/></proof>
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   </goal>
  </transf>
  </goal>
  <goal name="WP_parameter list_seg_no_repet.4" expl="4. precondition">
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  <proof prover="3" timelimit="60"><result status="valid" time="0.01" steps="9"/></proof>
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  </goal>
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  <goal name="WP_parameter list_seg_no_repet.5" expl="5. precondition">
  <proof prover="3" timelimit="60"><result status="valid" time="0.02" steps="24"/></proof>
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  </goal>
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  <goal name="WP_parameter list_seg_no_repet.6" expl="6. assertion">
  <proof prover="3" timelimit="60"><result status="valid" time="0.11" steps="88"/></proof>
  </goal>
  <goal name="WP_parameter list_seg_no_repet.7" expl="7. postcondition">
  <proof prover="3" timelimit="60"><result status="valid" time="0.02" steps="22"/></proof>
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  </goal>
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  <goal name="WP_parameter list_seg_no_repet.8" expl="8. assertion">
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  <proof prover="3" timelimit="70"><result status="valid" time="0.02" steps="3"/></proof>
  </goal>
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  <goal name="WP_parameter list_seg_no_repet.9" expl="9. variant decrease">
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  <proof prover="3" timelimit="70"><result status="valid" time="0.04" steps="25"/></proof>
  </goal>
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  <goal name="WP_parameter list_seg_no_repet.10" expl="10. precondition">
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  <proof prover="3" timelimit="70"><result status="valid" time="0.02" steps="5"/></proof>
  </goal>
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  <goal name="WP_parameter list_seg_no_repet.11" expl="11. assertion">
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  <transf name="inline_trivial">
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   <goal name="WP_parameter list_seg_no_repet.11.1" expl="1. assertion">
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   <transf name="inline_goal">
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    <goal name="WP_parameter list_seg_no_repet.11.1.1" expl="1. assertion">
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    <proof prover="5"><result status="valid" time="0.04"/></proof>
    </goal>
   </transf>
   </goal>
  </transf>
  </goal>
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  <goal name="WP_parameter list_seg_no_repet.12" expl="12. postcondition">
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  <proof prover="3" timelimit="70"><result status="valid" time="0.03" steps="12"/></proof>
  </goal>
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  <goal name="WP_parameter list_seg_no_repet.13" expl="13. postcondition">
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  <proof prover="3" timelimit="10"><result status="valid" time="0.03" steps="5"/></proof>
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  </goal>
 </transf>
 </goal>
 <goal name="WP_parameter app" expl="VC for app">
 <transf name="split_goal_wp">
  <goal name="WP_parameter app.1" expl="1. postcondition">
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  <proof prover="3" timelimit="10"><result status="valid" time="0.04" steps="106"/></proof>
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  </goal>
  <goal name="WP_parameter app.2" expl="2. loop invariant init">
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  <proof prover="3" timelimit="10"><result status="valid" time="0.03" steps="4"/></proof>
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  </goal>
  <goal name="WP_parameter app.3" expl="3. loop invariant init">
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  <proof prover="3" timelimit="10"><result status="valid" time="0.03" steps="14"/></proof>
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  </goal>
  <goal name="WP_parameter app.4" expl="4. loop invariant init">
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  <proof prover="3" timelimit="10"><result status="valid" time="0.02" steps="4"/></proof>
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  </goal>
  <goal name="WP_parameter app.5" expl="5. loop invariant init">
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  <proof prover="3" timelimit="10"><result status="valid" time="0.01" steps="23"/></proof>
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  </goal>
  <goal name="WP_parameter app.6" expl="6. loop invariant init">
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  <proof prover="3" timelimit="10"><result status="valid" time="0.02" steps="19"/></proof>
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  </goal>
  <goal name="WP_parameter app.7" expl="7. precondition">
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  <proof prover="3" timelimit="10"><result status="valid" time="0.02" steps="9"/></proof>
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  </goal>
  <goal name="WP_parameter app.8" expl="8. assertion">
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  <proof prover="3" timelimit="10"><result status="valid" time="0.02" steps="20"/></proof>
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  </goal>
  <goal name="WP_parameter app.9" expl="9. precondition">
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  <proof prover="3" timelimit="10"><result status="valid" time="0.02" steps="13"/></proof>
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  </goal>
  <goal name="WP_parameter app.10" expl="10. loop invariant preservation">
368
  <proof prover="3" timelimit="10"><result status="valid" time="0.02" steps="14"/></proof>
369 370
  </goal>
  <goal name="WP_parameter app.11" expl="11. loop invariant preservation">
371
  <proof prover="5"><result status="valid" time="2.53"/></proof>
372 373
  </goal>
  <goal name="WP_parameter app.12" expl="12. loop invariant preservation">
374
  <proof prover="3" timelimit="10"><result status="valid" time="0.02" steps="16"/></proof>
375 376 377 378 379 380 381 382
  </goal>
  <goal name="WP_parameter app.13" expl="13. loop invariant preservation">
  <transf name="introduce_premises">
   <goal name="WP_parameter app.13.1" expl="1. loop invariant preservation">
   <transf name="inline_goal">
    <goal name="WP_parameter app.13.1.1" expl="1. loop invariant preservation">
    <transf name="split_goal_wp">
     <goal name="WP_parameter app.13.1.1.1" expl="1. VC for app">
383
     <proof prover="3" timelimit="10"><result status="valid" time="0.09" steps="123"/></proof>
384 385
     </goal>
     <goal name="WP_parameter app.13.1.1.2" expl="2. VC for app">
386
     <proof prover="5"><result status="valid" time="0.63"/></proof>
387 388 389 390 391 392 393 394
     </goal>
    </transf>
    </goal>
   </transf>
   </goal>
  </transf>
  </goal>
  <goal name="WP_parameter app.14" expl="14. loop invariant preservation">
395
  <proof prover="5"><result status="valid" time="9.61"/></proof>
396 397
  </goal>
  <goal name="WP_parameter app.15" expl="15. loop variant decrease">
398
  <proof prover="3" timelimit="10"><result status="valid" time="0.85" steps="346"/></proof>
399 400 401
  <proof prover="5"><result status="valid" time="0.02"/></proof>
  </goal>
  <goal name="WP_parameter app.16" expl="16. precondition">
402
  <proof prover="3" timelimit="10"><result status="valid" time="0.02" steps="10"/></proof>
403 404 405
  <proof prover="5"><result status="valid" time="0.01"/></proof>
  </goal>
  <goal name="WP_parameter app.17" expl="17. assertion">
406
  <proof prover="3" timelimit="10"><result status="valid" time="0.09" steps="109"/></proof>
407 408 409
  <proof prover="5"><result status="valid" time="0.02"/></proof>
  </goal>
  <goal name="WP_parameter app.18" expl="18. assertion">
410
  <proof prover="3" timelimit="10"><result status="valid" time="1.73" steps="613"/></proof>
411 412 413 414 415 416
  <proof prover="5"><result status="valid" time="0.05"/></proof>
  </goal>
  <goal name="WP_parameter app.19" expl="19. assertion">
  <proof prover="5"><result status="valid" time="0.08"/></proof>
  </goal>
  <goal name="WP_parameter app.20" expl="20. postcondition">
417
  <proof prover="5"><result status="valid" time="0.47"/></proof>
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418 419 420 421 422
  </goal>
 </transf>
 </goal>
</theory>
</file>
423
</why3session>