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<?xml version="1.0" encoding="UTF-8"?>
<!DOCTYPE why3session PUBLIC "-//Why3//proof session v5//EN"
"http://why3.lri.fr/why3session.dtd">
<why3session shape_version="4">
<prover id="0" name="CVC3" version="2.4.1" timelimit="5" memlimit="1000"/>
<prover id="1" name="Alt-Ergo" version="0.95.2" timelimit="5" memlimit="1000"/>
<file name="../ral.mlw">
<theory name="RAL" sum="c2971a890b46469bf12d3271b7ec1242">
 <goal name="assoc" sum="7e068089e69a61098734a8854018d6a8">
 <proof prover="1"><result status="valid" time="0.02"/></proof>
 </goal>
 <goal name="neutral" sum="d91040eaf68a4bd407d76dabe35c611c">
 <proof prover="1"><result status="valid" time="0.02"/></proof>
 </goal>
 <goal name="assoc" sum="a5509dc0b9ac01eccec09742d140a212">
 <proof prover="1"><result status="valid" time="0.02"/></proof>
 </goal>
 <goal name="neutral" sum="fa1275825a9255b4698523e4292075e6">
 <proof prover="1"><result status="valid" time="0.02"/></proof>
 </goal>
 <goal name="WP_parameter zero" expl="VC for zero" sum="0019808a02227b44eb90dfeea169552b">
 <proof prover="1"><result status="valid" time="0.02"/></proof>
 </goal>
 <goal name="WP_parameter op" expl="VC for op" sum="0019808a02227b44eb90dfeea169552b">
 <proof prover="1"><result status="valid" time="0.02"/></proof>
 </goal>
 <goal name="WP_parameter measure" expl="VC for measure" sum="65c71218f34670fbbf523cd1d232a212">
 <proof prover="1"><result status="valid" time="0.02"/></proof>
 </goal>
 <goal name="WP_parameter sum_measure_is_length" expl="VC for sum_measure_is_length" sum="f3261e81741e09bc7ed9704f671462f6">
 <proof prover="1"><result status="valid" time="0.02"/></proof>
 </goal>
 <goal name="WP_parameter selected_part" expl="VC for selected_part" sum="3a1ab013f804bf0c8a088a2c8c5cf99b">
 <proof prover="1"><result status="valid" time="0.04"/></proof>
 </goal>
 <goal name="assoc" sum="82a3dd50c7886cf037d444785c09700a">
 <proof prover="1"><result status="valid" time="0.02"/></proof>
 </goal>
 <goal name="neutral" sum="fb365933916658a71dfae31506a8b8c4">
 <proof prover="1"><result status="valid" time="0.02"/></proof>
 </goal>
 <goal name="sum_def_nil" sum="527902b31ce18806b147d541c72f5afc">
 <proof prover="1"><result status="valid" time="0.02"/></proof>
 </goal>
 <goal name="sum_def_cons" sum="6c93bb627763465743b60508e53ef0a9">
 <proof prover="1"><result status="valid" time="0.02"/></proof>
 </goal>
 <goal name="balancing_positive" sum="410432b615b70e5bd1242f3c0dc6a046">
 <proof prover="1"><result status="valid" time="0.02"/></proof>
 </goal>
 <goal name="selection_empty" sum="7d7b9e04271b03615ab9054436f21745">
 <proof prover="1"><result status="valid" time="0.03"/></proof>
 </goal>
 <goal name="WP_parameter avl  AVL  M zero" expl="VC for avl  AVL  M zero" sum="fa1a44f995406f2465bba0e0d56f65bc">
 <proof prover="1"><result status="valid" time="0.02"/></proof>
 </goal>
 <goal name="WP_parameter avl  AVL  M op" expl="VC for avl  AVL  M op" sum="914fae420bc556ebeb0506280361e1a2">
 <proof prover="1"><result status="valid" time="0.02"/></proof>
 </goal>
 <goal name="WP_parameter avl  AVL  D measure" expl="VC for avl  AVL  D measure" sum="f0a2f4ac5f4973175c6b00ced6eeaf06">
 <proof prover="1"><result status="valid" time="0.02"/></proof>
 </goal>
 <goal name="WP_parameter avl  AVL  selected_part" expl="VC for avl  AVL  selected_part" sum="3487c529b88bbfaaa1fc480f0eb6a70f">
 <proof prover="1"><result status="valid" time="0.30"/></proof>
 </goal>
 <goal name="WP_parameter empty" expl="VC for empty" sum="ce6a22a3ade86cfc15c599007d52f680">
 <proof prover="1"><result status="valid" time="0.02"/></proof>
 </goal>
 <goal name="WP_parameter singleton" expl="VC for singleton" sum="ded48170d656d8ff175d50b1aea372d3">
 <proof prover="1"><result status="valid" time="0.03"/></proof>
 </goal>
 <goal name="WP_parameter is_empty" expl="VC for is_empty" sum="271830522f89552c74635139d65f03c4">
 <proof prover="1"><result status="valid" time="0.03"/></proof>
 </goal>
 <goal name="WP_parameter decompose_front" expl="VC for decompose_front" sum="af6c57cd2a81ae4d90a08fe12d557e3b">
 <proof prover="1"><result status="valid" time="0.04"/></proof>
 </goal>
 <goal name="WP_parameter decompose_back" expl="VC for decompose_back" sum="db8b427428b3cce4a7f1c3f07a1aac90">
 <proof prover="1"><result status="valid" time="0.04"/></proof>
 </goal>
 <goal name="WP_parameter front" expl="VC for front" sum="ad4675e43a534ef109e84c7556bab29b">
 <proof prover="1"><result status="valid" time="0.02"/></proof>
 </goal>
 <goal name="WP_parameter back" expl="VC for back" sum="b6b92ec5670277769cc23c32a51c704a">
 <proof prover="1"><result status="valid" time="0.02"/></proof>
 </goal>
 <goal name="WP_parameter cons" expl="VC for cons" sum="3a5b80d5a7ade2d6618e512f0d232b42">
 <proof prover="1"><result status="valid" time="0.02"/></proof>
 </goal>
 <goal name="WP_parameter snoc" expl="VC for snoc" sum="316a48884ce544cb8487b3f9b8cebe3b">
 <proof prover="1"><result status="valid" time="0.02"/></proof>
 </goal>
 <goal name="WP_parameter concat" expl="VC for concat" sum="20849956b50eecf785f08b144c8f3a4a">
 <proof prover="1"><result status="valid" time="0.02"/></proof>
 </goal>
 <goal name="WP_parameter length" expl="VC for length" sum="c1aeb7f9451394b0163169c20e6a7f49">
 <proof prover="1"><result status="valid" time="0.02"/></proof>
 </goal>
 <goal name="WP_parameter set" expl="VC for set" sum="1d5646f2673327d1c12b168b887f7e7d">
 <transf name="split_goal_wp">
  <goal name="WP_parameter set.1" expl="1. precondition" sum="ad623c54970a2ee5deb06ae798c3e58a">
  <proof prover="1"><result status="valid" time="0.02"/></proof>
  </goal>
  <goal name="WP_parameter set.2" expl="2. postcondition" sum="d6c70e67f18f4ef2df92a50a738eb400">
  <proof prover="1"><result status="valid" time="0.02"/></proof>
  </goal>
  <goal name="WP_parameter set.3" expl="3. postcondition" sum="5b8a328be364148b95b1598507e29d2a">
  <proof prover="1"><result status="valid" time="1.01"/></proof>
  </goal>
  <goal name="WP_parameter set.4" expl="4. postcondition" sum="167840230c16ee76ab852dee1f342abc">
  <proof prover="1"><result status="valid" time="0.04"/></proof>
  </goal>
 </transf>
 </goal>
 <goal name="WP_parameter get" expl="VC for get" sum="768fade6ac6dc4f8548d42383be65162">
 <proof prover="1"><result status="valid" time="0.14"/></proof>
 </goal>
 <goal name="WP_parameter insert" expl="VC for insert" sum="11bf2071e9e7cb3c6e1e5ec386fd315e">
 <proof prover="1"><result status="valid" time="0.78"/></proof>
 </goal>
 <goal name="WP_parameter remove" expl="VC for remove" sum="32db182d5d2ed52a1a439451b47cdd28">
 <proof prover="0"><result status="valid" time="0.47"/></proof>
 </goal>
 <goal name="WP_parameter cut" expl="VC for cut" sum="3143e11973434dfe8ee574b021c1fa1e">
 <proof prover="1"><result status="valid" time="0.05"/></proof>
 </goal>
 <goal name="WP_parameter split" expl="VC for split" sum="18a6b2ef405391f125c8aa7fd8f8e733">
 <proof prover="1"><result status="valid" time="0.05"/></proof>
 </goal>
 <goal name="WP_parameter harness" expl="VC for harness" sum="4f2865b029522ea824e3940a7ba70316">
 <transf name="split_goal_wp">
  <goal name="WP_parameter harness.1" expl="1. precondition" sum="3d3152f1fbd789f60c3d4ab67b42c617">
  <proof prover="1"><result status="valid" time="0.02"/></proof>
  </goal>
  <goal name="WP_parameter harness.2" expl="2. precondition" sum="f4bca3c6343c8f12e1a5733f8c88e5c7">
  <proof prover="1"><result status="valid" time="0.02"/></proof>
  </goal>
  <goal name="WP_parameter harness.3" expl="3. precondition" sum="7820c21c5fee08bb9bd6a4eccb2ad0a0">
  <proof prover="1"><result status="valid" time="0.02"/></proof>
  </goal>
  <goal name="WP_parameter harness.4" expl="4. precondition" sum="13388c7ef506ae0bfaf34ff28feb94a6">
  <proof prover="1"><result status="valid" time="0.02"/></proof>
  </goal>
  <goal name="WP_parameter harness.5" expl="5. check" sum="54c5d0a94b2a3e1338ea289338661818">
  <proof prover="1"><result status="valid" time="0.07"/></proof>
  </goal>
  <goal name="WP_parameter harness.6" expl="6. check" sum="2d74e451abf77d73d0bf8de73746be79">
  <proof prover="1"><result status="valid" time="0.07"/></proof>
  </goal>
  <goal name="WP_parameter harness.7" expl="7. precondition" sum="afd03b7bed2308b649b3cfd1e31c6f28">
  <proof prover="1"><result status="valid" time="0.04"/></proof>
  </goal>
  <goal name="WP_parameter harness.8" expl="8. precondition" sum="bc148819801bf82db36b4e526d480a80">
  <proof prover="1"><result status="valid" time="0.03"/></proof>
  </goal>
  <goal name="WP_parameter harness.9" expl="9. check" sum="511cbb8e451efa1491544fd855b6ba45">
  <proof prover="1"><result status="valid" time="0.17"/></proof>
  </goal>
  <goal name="WP_parameter harness.10" expl="10. check" sum="93757ad77de230774fbeadc612abe493">
  <proof prover="1"><result status="valid" time="0.26"/></proof>
  </goal>
 </transf>
 </goal>
 <goal name="WP_parameter harness2" expl="VC for harness2" sum="3677dad6d058b7b2c787f9df29e5a8c2">
 <transf name="split_goal_wp">
  <goal name="WP_parameter harness2.1" expl="1. precondition" sum="7c3235becd42416b3d4c37c53ba30677">
  <proof prover="1"><result status="valid" time="0.02"/></proof>
  </goal>
  <goal name="WP_parameter harness2.2" expl="2. precondition" sum="ca7834632da28b7443a0b24a0bc09b13">
  <proof prover="1"><result status="valid" time="0.02"/></proof>
  </goal>
  <goal name="WP_parameter harness2.3" expl="3. precondition" sum="1610fc727bbacce6f8e1e06bd7246dca">
  <proof prover="1"><result status="valid" time="0.02"/></proof>
  </goal>
  <goal name="WP_parameter harness2.4" expl="4. unreachable point" sum="5eb0d4b77fc66f8197fce367648f922c">
  <proof prover="1"><result status="valid" time="0.04"/></proof>
  </goal>
  <goal name="WP_parameter harness2.5" expl="5. check" sum="2cbbb104f3e7f0840e1c17cdf594dd76">
  <proof prover="1"><result status="valid" time="0.05"/></proof>
  </goal>
  <goal name="WP_parameter harness2.6" expl="6. precondition" sum="01f24332e5cdf5fe803f8b5a862d4448">
  <proof prover="1"><result status="valid" time="0.05"/></proof>
  </goal>
  <goal name="WP_parameter harness2.7" expl="7. check" sum="c8b88942311877bb3f3449967eeaf261">
  <proof prover="1"><result status="valid" time="0.16"/></proof>
  </goal>
 </transf>
 </goal>
</theory>
</file>
</why3session>