Commit 7e21f570 authored by MARCHE Claude's avatar MARCHE Claude

example algo63, with version using fast WP

parent 4c0d58ea
......@@ -26,7 +26,8 @@ module Algo63
ensures { permut_sub (old a) a m (n+1) }
let v = a[i] in
a[i] <- a[j];
a[j] <- v
a[j] <- v;
assert { exchange (old a) a i j }
val random (m n: int) : int ensures { m <= result <= n }
......
......@@ -2,898 +2,231 @@
<!DOCTYPE why3session PUBLIC "-//Why3//proof session v5//EN"
"http://why3.lri.fr/why3session.dtd">
<why3session shape_version="4">
<prover id="0" name="Spass" version="3.7" timelimit="6" memlimit="1000"/>
<prover id="1" name="Eprover" version="1.8-001" timelimit="30" memlimit="1000"/>
<prover id="2" name="Alt-Ergo" version="0.95.2" timelimit="5" memlimit="1000"/>
<prover id="3" name="Vampire" version="0.6" timelimit="6" memlimit="1000"/>
<prover id="4" name="Alt-Ergo" version="0.99.1" timelimit="5" memlimit="1000"/>
<prover id="5" name="CVC4" version="1.4" timelimit="5" memlimit="1000"/>
<prover id="6" name="Z3" version="4.3.2" timelimit="5" memlimit="1000"/>
<file name="../algo63.mlw" expanded="true">
<theory name="Algo63" sum="e540511305143abe7957581671199dba" expanded="true">
<goal name="WP_parameter exchange" expl="VC for exchange">
<proof prover="2"><result status="valid" time="0.05"/></proof>
</goal>
<goal name="WP_parameter partition_" expl="VC for partition_">
<theory name="Algo63" sum="11f00ad4a912fe3ea4346c638f71a0ef" expanded="true">
<goal name="VC exchange" expl="VC for exchange">
<transf name="split_goal_wp">
<goal name="WP_parameter partition_.1" expl="1. index in array bounds">
<proof prover="2"><result status="valid" time="0.01"/></proof>
</goal>
<goal name="WP_parameter partition_.2" expl="2. loop invariant init">
<proof prover="2"><result status="valid" time="0.02"/></proof>
</goal>
<goal name="WP_parameter partition_.3" expl="3. loop invariant init">
<proof prover="2"><result status="valid" time="0.01"/></proof>
</goal>
<goal name="WP_parameter partition_.4" expl="4. index in array bounds">
<proof prover="2"><result status="valid" time="0.02"/></proof>
</goal>
<goal name="WP_parameter partition_.5" expl="5. loop invariant preservation">
<proof prover="2"><result status="valid" time="0.02"/></proof>
</goal>
<goal name="WP_parameter partition_.6" expl="6. loop invariant preservation">
<proof prover="2"><result status="valid" time="0.02"/></proof>
</goal>
<goal name="WP_parameter partition_.7" expl="7. loop variant decrease">
<proof prover="2"><result status="valid" time="0.02"/></proof>
</goal>
<goal name="WP_parameter partition_.8" expl="8. loop invariant init">
<proof prover="2"><result status="valid" time="0.01"/></proof>
</goal>
<goal name="WP_parameter partition_.9" expl="9. loop invariant init">
<proof prover="2"><result status="valid" time="0.02"/></proof>
</goal>
<goal name="WP_parameter partition_.10" expl="10. index in array bounds">
<proof prover="2"><result status="valid" time="0.01"/></proof>
</goal>
<goal name="WP_parameter partition_.11" expl="11. loop invariant preservation">
<proof prover="2"><result status="valid" time="0.02"/></proof>
</goal>
<goal name="WP_parameter partition_.12" expl="12. loop invariant preservation">
<proof prover="2"><result status="valid" time="0.02"/></proof>
</goal>
<goal name="WP_parameter partition_.13" expl="13. loop variant decrease">
<proof prover="2"><result status="valid" time="0.02"/></proof>
</goal>
<goal name="WP_parameter partition_.14" expl="14. precondition">
<proof prover="2"><result status="valid" time="0.02"/></proof>
</goal>
<goal name="WP_parameter partition_.15" expl="15. variant decrease">
<proof prover="2"><result status="valid" time="0.02"/></proof>
</goal>
<goal name="WP_parameter partition_.16" expl="16. precondition">
<proof prover="2"><result status="valid" time="0.02"/></proof>
</goal>
<goal name="WP_parameter partition_.17" expl="17. precondition">
<proof prover="2"><result status="valid" time="0.02"/></proof>
</goal>
<goal name="WP_parameter partition_.18" expl="18. precondition">
<proof prover="2" timelimit="15"><result status="valid" time="0.30"/></proof>
</goal>
<goal name="WP_parameter partition_.19" expl="19. precondition">
<proof prover="2"><result status="valid" time="0.29"/></proof>
</goal>
<goal name="WP_parameter partition_.20" expl="20. precondition">
<proof prover="2"><result status="valid" time="0.02"/></proof>
</goal>
<goal name="WP_parameter partition_.21" expl="21. postcondition">
<proof prover="2"><result status="valid" time="0.02"/></proof>
<goal name="VC exchange.1" expl="1. index in array bounds">
<proof prover="4"><result status="valid" time="0.02" steps="6"/></proof>
</goal>
<goal name="WP_parameter partition_.22" expl="22. postcondition">
<proof prover="2"><result status="valid" time="0.03"/></proof>
<goal name="VC exchange.2" expl="2. index in array bounds">
<proof prover="4"><result status="valid" time="0.02" steps="6"/></proof>
</goal>
<goal name="WP_parameter partition_.23" expl="23. postcondition">
<proof prover="2"><result status="valid" time="0.02"/></proof>
<goal name="VC exchange.3" expl="3. index in array bounds">
<proof prover="4"><result status="valid" time="0.01" steps="6"/></proof>
</goal>
<goal name="WP_parameter partition_.24" expl="24. postcondition">
<proof prover="2"><result status="valid" time="0.02"/></proof>
<goal name="VC exchange.4" expl="4. index in array bounds">
<proof prover="4"><result status="valid" time="0.01" steps="8"/></proof>
</goal>
<goal name="WP_parameter partition_.25" expl="25. postcondition">
<proof prover="2"><result status="valid" time="0.02"/></proof>
<goal name="VC exchange.5" expl="5. assertion">
<proof prover="4"><result status="valid" time="0.02" steps="30"/></proof>
<proof prover="5"><result status="valid" time="0.04"/></proof>
<proof prover="6"><result status="valid" time="0.01"/></proof>
</goal>
<goal name="WP_parameter partition_.26" expl="26. postcondition">
<proof prover="2"><result status="valid" time="0.02"/></proof>
<goal name="VC exchange.6" expl="6. postcondition">
<proof prover="4"><result status="valid" time="0.02" steps="11"/></proof>
</goal>
<goal name="WP_parameter partition_.27" expl="27. postcondition">
<proof prover="2"><result status="valid" time="0.02"/></proof>
<goal name="VC exchange.7" expl="7. postcondition">
<proof prover="4"><result status="valid" time="0.03" steps="15"/></proof>
</goal>
<goal name="WP_parameter partition_.28" expl="28. postcondition">
<proof prover="2"><result status="valid" time="0.02"/></proof>
</goal>
<goal name="WP_parameter partition_.29" expl="29. postcondition">
<proof prover="2"><result status="valid" time="0.01"/></proof>
</goal>
<goal name="WP_parameter partition_.30" expl="30. postcondition">
<proof prover="2"><result status="valid" time="0.01"/></proof>
</goal>
<goal name="WP_parameter partition_.31" expl="31. postcondition">
<proof prover="2"><result status="valid" time="0.01"/></proof>
</goal>
<goal name="WP_parameter partition_.32" expl="32. postcondition">
<proof prover="2"><result status="valid" time="0.02"/></proof>
</goal>
<goal name="WP_parameter partition_.33" expl="33. postcondition">
<proof prover="2"><result status="valid" time="0.02"/></proof>
</goal>
<goal name="WP_parameter partition_.34" expl="34. postcondition">
<proof prover="2"><result status="valid" time="0.02"/></proof>
</goal>
<goal name="WP_parameter partition_.35" expl="35. precondition">
<proof prover="2"><result status="valid" time="0.02"/></proof>
</goal>
<goal name="WP_parameter partition_.36" expl="36. variant decrease">
<proof prover="2"><result status="valid" time="0.02"/></proof>
</goal>
<goal name="WP_parameter partition_.37" expl="37. precondition">
<proof prover="2"><result status="valid" time="0.02"/></proof>
</goal>
<goal name="WP_parameter partition_.38" expl="38. precondition">
<proof prover="2"><result status="valid" time="0.02"/></proof>
</goal>
<goal name="WP_parameter partition_.39" expl="39. precondition">
<proof prover="2"><result status="valid" time="0.02"/></proof>
</goal>
<goal name="WP_parameter partition_.40" expl="40. precondition">
<proof prover="2"><result status="valid" time="0.02"/></proof>
</goal>
<goal name="WP_parameter partition_.41" expl="41. precondition">
<proof prover="2"><result status="valid" time="0.02"/></proof>
</goal>
<goal name="WP_parameter partition_.42" expl="42. postcondition">
<proof prover="2"><result status="valid" time="0.01"/></proof>
</goal>
<goal name="WP_parameter partition_.43" expl="43. postcondition">
<proof prover="2"><result status="valid" time="0.02"/></proof>
</transf>
</goal>
<goal name="VC partition_" expl="VC for partition_">
<transf name="split_goal_wp">
<goal name="VC partition_.1" expl="1. index in array bounds">
<proof prover="4"><result status="valid" time="0.01" steps="5"/></proof>
</goal>
<goal name="WP_parameter partition_.44" expl="44. postcondition">
<proof prover="2"><result status="valid" time="0.03"/></proof>
<goal name="VC partition_.2" expl="2. loop invariant init">
<proof prover="4"><result status="valid" time="0.02" steps="15"/></proof>
</goal>
<goal name="WP_parameter partition_.45" expl="45. postcondition">
<proof prover="2"><result status="valid" time="0.03"/></proof>
<goal name="VC partition_.3" expl="3. loop invariant init">
<proof prover="4"><result status="valid" time="0.02" steps="22"/></proof>
</goal>
<goal name="WP_parameter partition_.46" expl="46. postcondition">
<proof prover="2"><result status="valid" time="0.03"/></proof>
<goal name="VC partition_.4" expl="4. index in array bounds">
<proof prover="4"><result status="valid" time="0.02" steps="18"/></proof>
</goal>
<goal name="WP_parameter partition_.47" expl="47. postcondition">
<proof prover="2"><result status="valid" time="0.03"/></proof>
<goal name="VC partition_.5" expl="5. loop invariant preservation">
<proof prover="4"><result status="valid" time="0.02" steps="20"/></proof>
</goal>
<goal name="WP_parameter partition_.48" expl="48. postcondition">
<proof prover="2"><result status="valid" time="0.03"/></proof>
<goal name="VC partition_.6" expl="6. loop invariant preservation">
<proof prover="4"><result status="valid" time="0.03" steps="27"/></proof>
</goal>
<goal name="WP_parameter partition_.49" expl="49. postcondition">
<proof prover="2"><result status="valid" time="0.02"/></proof>
<goal name="VC partition_.7" expl="7. loop variant decrease">
<proof prover="4"><result status="valid" time="0.02" steps="20"/></proof>
</goal>
<goal name="WP_parameter partition_.50" expl="50. postcondition">
<proof prover="2"><result status="valid" time="0.02"/></proof>
<goal name="VC partition_.8" expl="8. loop invariant init">
<proof prover="4"><result status="valid" time="0.01" steps="17"/></proof>
</goal>
<goal name="WP_parameter partition_.51" expl="51. postcondition">
<proof prover="2"><result status="valid" time="0.02"/></proof>
<goal name="VC partition_.9" expl="9. loop invariant init">
<proof prover="4"><result status="valid" time="0.01" steps="24"/></proof>
</goal>
<goal name="WP_parameter partition_.52" expl="52. postcondition">
<proof prover="2"><result status="valid" time="0.02"/></proof>
<goal name="VC partition_.10" expl="10. index in array bounds">
<proof prover="4"><result status="valid" time="0.02" steps="20"/></proof>
</goal>
<goal name="WP_parameter partition_.53" expl="53. postcondition">
<proof prover="2"><result status="valid" time="0.02"/></proof>
<goal name="VC partition_.11" expl="11. loop invariant preservation">
<proof prover="4"><result status="valid" time="0.02" steps="22"/></proof>
</goal>
<goal name="WP_parameter partition_.54" expl="54. postcondition">
<proof prover="2"><result status="valid" time="0.02"/></proof>
<goal name="VC partition_.12" expl="12. loop invariant preservation">
<proof prover="4"><result status="valid" time="0.04" steps="29"/></proof>
</goal>
<goal name="WP_parameter partition_.55" expl="55. postcondition">
<proof prover="2"><result status="valid" time="0.02"/></proof>
<goal name="VC partition_.13" expl="13. loop variant decrease">
<proof prover="4"><result status="valid" time="0.01" steps="22"/></proof>
</goal>
<goal name="WP_parameter partition_.56" expl="56. loop invariant init">
<proof prover="2"><result status="valid" time="0.02"/></proof>
<goal name="VC partition_.14" expl="14. precondition">
<proof prover="4"><result status="valid" time="0.02" steps="22"/></proof>
</goal>
<goal name="WP_parameter partition_.57" expl="57. loop invariant init">
<proof prover="2"><result status="valid" time="0.02"/></proof>
<goal name="VC partition_.15" expl="15. variant decrease">
<proof prover="4"><result status="valid" time="0.07" steps="87"/></proof>
</goal>
<goal name="WP_parameter partition_.58" expl="58. index in array bounds">
<proof prover="2"><result status="valid" time="0.01"/></proof>
<goal name="VC partition_.16" expl="16. precondition">
<proof prover="4"><result status="valid" time="0.02" steps="34"/></proof>
</goal>
<goal name="WP_parameter partition_.59" expl="59. loop invariant preservation">
<proof prover="2"><result status="valid" time="0.02"/></proof>
<goal name="VC partition_.17" expl="17. precondition">
<proof prover="4"><result status="valid" time="0.05" steps="128"/></proof>
</goal>
<goal name="WP_parameter partition_.60" expl="60. loop invariant preservation">
<proof prover="2"><result status="valid" time="0.02"/></proof>
<goal name="VC partition_.18" expl="18. precondition">
<proof prover="4"><result status="valid" time="1.69" steps="666"/></proof>
</goal>
<goal name="WP_parameter partition_.61" expl="61. loop variant decrease">
<proof prover="2"><result status="valid" time="0.02"/></proof>
<goal name="VC partition_.19" expl="19. precondition">
<proof prover="4"><result status="timeout" time="5.01"/></proof>
<proof prover="5"><result status="timeout" time="5.04"/></proof>
<proof prover="6"><result status="valid" time="0.41"/></proof>
</goal>
<goal name="WP_parameter partition_.62" expl="62. precondition">
<proof prover="2"><result status="valid" time="0.02"/></proof>
<goal name="VC partition_.20" expl="20. precondition">
<proof prover="4"><result status="valid" time="0.08" steps="129"/></proof>
</goal>
<goal name="WP_parameter partition_.63" expl="63. variant decrease">
<proof prover="2"><result status="valid" time="0.02"/></proof>
<goal name="VC partition_.21" expl="21. postcondition">
<proof prover="4"><result status="valid" time="0.02" steps="33"/></proof>
</goal>
<goal name="WP_parameter partition_.64" expl="64. precondition">
<proof prover="2"><result status="valid" time="0.02"/></proof>
<goal name="VC partition_.22" expl="22. postcondition">
<proof prover="4"><result status="valid" time="0.08" steps="158"/></proof>
</goal>
<goal name="WP_parameter partition_.65" expl="65. precondition">
<proof prover="2"><result status="valid" time="0.02"/></proof>
<goal name="VC partition_.23" expl="23. postcondition">
<proof prover="4"><result status="valid" time="0.02" steps="33"/></proof>
</goal>
<goal name="WP_parameter partition_.66" expl="66. precondition">
<proof prover="2"><result status="valid" time="0.02"/></proof>
<goal name="VC partition_.24" expl="24. postcondition">
<proof prover="4"><result status="valid" time="0.02" steps="33"/></proof>
</goal>
<goal name="WP_parameter partition_.67" expl="67. precondition">
<proof prover="2"><result status="valid" time="0.02"/></proof>
<goal name="VC partition_.25" expl="25. postcondition">
<proof prover="4"><result status="valid" time="0.03" steps="33"/></proof>
</goal>
<goal name="WP_parameter partition_.68" expl="68. precondition">
<proof prover="2"><result status="valid" time="0.02"/></proof>
<goal name="VC partition_.26" expl="26. postcondition">
<proof prover="4"><result status="valid" time="0.03" steps="47"/></proof>
</goal>
<goal name="WP_parameter partition_.69" expl="69. postcondition">
<proof prover="2"><result status="valid" time="0.02"/></proof>
<goal name="VC partition_.27" expl="27. postcondition">
<proof prover="4"><result status="valid" time="0.03" steps="47"/></proof>
</goal>
<goal name="WP_parameter partition_.70" expl="70. postcondition">
<proof prover="2"><result status="valid" time="0.02"/></proof>
<goal name="VC partition_.28" expl="28. postcondition">
<proof prover="4"><result status="valid" time="0.02" steps="20"/></proof>
</goal>
<goal name="WP_parameter partition_.71" expl="71. postcondition">
<proof prover="2"><result status="valid" time="0.02"/></proof>
<goal name="VC partition_.29" expl="29. postcondition">
<proof prover="4"><result status="valid" time="0.04" steps="98"/></proof>
</goal>
<goal name="WP_parameter partition_.72" expl="72. postcondition">
<proof prover="2"><result status="valid" time="0.02"/></proof>
<goal name="VC partition_.30" expl="30. postcondition">
<proof prover="4"><result status="valid" time="0.02" steps="22"/></proof>
</goal>
<goal name="WP_parameter partition_.73" expl="73. postcondition">
<proof prover="2"><result status="valid" time="0.02"/></proof>
<goal name="VC partition_.31" expl="31. postcondition">
<proof prover="4"><result status="valid" time="0.02" steps="22"/></proof>
</goal>
<goal name="WP_parameter partition_.74" expl="74. postcondition">
<proof prover="2"><result status="valid" time="0.03"/></proof>
<goal name="VC partition_.32" expl="32. postcondition">
<proof prover="4"><result status="valid" time="0.02" steps="20"/></proof>
</goal>
<goal name="WP_parameter partition_.75" expl="75. postcondition">
<proof prover="2"><result status="valid" time="0.04"/></proof>
<goal name="VC partition_.33" expl="33. postcondition">
<proof prover="4"><result status="valid" time="0.02" steps="27"/></proof>
</goal>
<goal name="WP_parameter partition_.76" expl="76. postcondition">
<proof prover="2"><result status="valid" time="0.02"/></proof>
<goal name="VC partition_.34" expl="34. postcondition">
<proof prover="4"><result status="valid" time="0.02" steps="27"/></proof>
</goal>
<goal name="WP_parameter partition_.77" expl="77. postcondition">
<proof prover="2"><result status="valid" time="0.02"/></proof>
<goal name="VC partition_.35" expl="35. precondition">
<proof prover="4"><result status="valid" time="0.01" steps="8"/></proof>
</goal>
<goal name="WP_parameter partition_.78" expl="78. postcondition">
<proof prover="2"><result status="valid" time="0.02"/></proof>
<goal name="VC partition_.36" expl="36. precondition">
<proof prover="4"><result status="valid" time="0.02" steps="18"/></proof>
</goal>
<goal name="WP_parameter partition_.79" expl="79. postcondition">
<proof prover="2"><result status="valid" time="0.02"/></proof>
<goal name="VC partition_.37" expl="37. precondition">
<proof prover="4"><result status="valid" time="0.02" steps="9"/></proof>
</goal>
<goal name="WP_parameter partition_.80" expl="80. postcondition">
<proof prover="2"><result status="valid" time="0.02"/></proof>
<goal name="VC partition_.38" expl="38. precondition">
<proof prover="4"><result status="valid" time="0.02" steps="9"/></proof>
</goal>
<goal name="WP_parameter partition_.81" expl="81. postcondition">
<proof prover="2"><result status="valid" time="0.02"/></proof>
<goal name="VC partition_.39" expl="39. precondition">
<proof prover="4"><result status="valid" time="0.02" steps="0"/></proof>
</goal>
<goal name="WP_parameter partition_.82" expl="82. postcondition">
<proof prover="2"><result status="valid" time="0.02"/></proof>
<goal name="VC partition_.40" expl="40. assertion">
<proof prover="4"><result status="valid" time="0.02" steps="18"/></proof>
</goal>
<goal name="WP_parameter partition_.83" expl="83. precondition">
<proof prover="2"><result status="valid" time="0.02"/></proof>
<goal name="VC partition_.41" expl="41. precondition">
<proof prover="4"><result status="valid" time="0.02" steps="15"/></proof>
</goal>
<goal name="WP_parameter partition_.84" expl="84. variant decrease">
<proof prover="2"><result status="valid" time="0.08"/></proof>
<goal name="VC partition_.42" expl="42. postcondition">
<proof prover="4"><result status="valid" time="0.02" steps="19"/></proof>
</goal>
<goal name="WP_parameter partition_.85" expl="85. precondition">
<proof prover="2"><result status="valid" time="0.02"/></proof>
<goal name="VC partition_.43" expl="43. postcondition">
<proof prover="4"><result status="valid" time="0.08" steps="127"/></proof>
</goal>
<goal name="WP_parameter partition_.86" expl="86. precondition">
<proof prover="2"><result status="valid" time="0.02"/></proof>
<goal name="VC partition_.44" expl="44. postcondition">
<proof prover="4"><result status="timeout" time="5.00"/></proof>
<proof prover="6"><result status="valid" time="0.25"/></proof>
</goal>
<goal name="WP_parameter partition_.87" expl="87. precondition">
<transf name="inline_goal">
<goal name="WP_parameter partition_.87.1" expl="1. precondition">
<transf name="inline_goal">
<goal name="WP_parameter partition_.87.1.1" expl="1. precondition">
<transf name="inline_goal">
<goal name="WP_parameter partition_.87.1.1.1" expl="1. precondition">
<proof prover="2"><result status="valid" time="0.09"/></proof>
</goal>
</transf>
</goal>
</transf>
</goal>
</transf>
<goal name="VC partition_.45" expl="45. postcondition">
<proof prover="4"><result status="timeout" time="5.00"/></proof>
<proof prover="6"><result status="valid" time="0.42"/></proof>
</goal>
<goal name="WP_parameter partition_.88" expl="88. precondition">
<proof prover="2"><result status="valid" time="0.02"/></proof>
<goal name="VC partition_.46" expl="46. postcondition">
<proof prover="4"><result status="valid" time="4.52" steps="1916"/></proof>
</goal>
<goal name="WP_parameter partition_.89" expl="89. precondition">
<proof prover="2"><result status="valid" time="0.10"/></proof>
<goal name="VC partition_.47" expl="47. precondition">
<proof prover="4"><result status="valid" time="0.02" steps="19"/></proof>
</goal>
<goal name="WP_parameter partition_.90" expl="90. postcondition">
<proof prover="2"><result status="valid" time="0.02"/></proof>
<goal name="VC partition_.48" expl="48. postcondition">
<proof prover="4"><result status="valid" time="0.02" steps="20"/></proof>
</goal>
<goal name="WP_parameter partition_.91" expl="91. postcondition">
<proof prover="2"><result status="valid" time="0.03"/></proof>
<goal name="VC partition_.49" expl="49. postcondition">
<proof prover="4"><result status="valid" time="0.05" steps="128"/></proof>
</goal>
<goal name="WP_parameter partition_.92" expl="92. postcondition">
<proof prover="2"><result status="valid" time="0.03"/></proof>
<goal name="VC partition_.50" expl="50. postcondition">
<proof prover="4"><result status="valid" time="2.03" steps="1129"/></proof>
</goal>
<goal name="WP_parameter partition_.93" expl="93. postcondition">
<proof prover="2"><result status="valid" time="0.03"/></proof>
<goal name="VC partition_.51" expl="51. postcondition">
<proof prover="4"><result status="timeout" time="5.00"/></proof>
<proof prover="6"><result status="valid" time="0.31"/></proof>
</goal>
<goal name="WP_parameter partition_.94" expl="94. postcondition">
<proof prover="2"><result status="valid" time="0.02"/></proof>
<goal name="VC partition_.52" expl="52. postcondition">
<proof prover="4"><result status="valid" time="0.49" steps="329"/></proof>
</goal>
<goal name="WP_parameter partition_.95" expl="95. postcondition">
<proof prover="2"><result status="valid" time="0.07"/></proof>
<goal name="VC partition_.53" expl="53. postcondition">
<proof prover="4"><result status="valid" time="0.02" steps="18"/></proof>
</goal>
<goal name="WP_parameter partition_.96" expl="96. postcondition">
<proof prover="2"><result status="valid" time="0.08"/></proof>
<goal name="VC partition_.54" expl="54. postcondition">
<proof prover="4"><result status="valid" time="0.02" steps="16"/></proof>
</goal>
<goal name="WP_parameter partition_.97" expl="97. postcondition">
<proof prover="2"><result status="valid" time="0.03"/></proof>
<goal name="VC partition_.55" expl="55. postcondition">
<proof prover="4"><result status="valid" time="0.03" steps="23"/></proof>
</goal>
<goal name="WP_parameter partition_.98" expl="98. postcondition">
<proof prover="2"><result status="valid" time="0.02"/></proof>
<goal name="VC partition_.56" expl="56. postcondition">
<proof prover="4"><result status="valid" time="0.04" steps="24"/></proof>
</goal>
<goal name="WP_parameter partition_.99" expl="99. postcondition">
<proof prover="2"><result status="valid" time="0.01"/></proof>
</goal>
<goal name="WP_parameter partition_.100" expl="100. postcondition">
<proof prover="2"><result status="valid" time="0.02"/></proof>
</goal>
<goal name="WP_parameter partition_.101" expl="101. postcondition">
<proof prover="2"><result status="valid" time="0.02"/></proof>
</goal>
<goal name="WP_parameter partition_.102" expl="102. postcondition">
<proof prover="2"><result status="valid" time="0.02"/></proof>
</goal>
<goal name="WP_parameter partition_.103" expl="103. postcondition">
<proof prover="2"><result status="valid" time="0.02"/></proof>
</goal>
<goal name="WP_parameter partition_.104" expl="104. precondition">
<proof prover="2"><result status="valid" time="0.03"/></proof>
</goal>
<goal name="WP_parameter partition_.105" expl="105. precondition">
<proof prover="2"><result status="valid" time="0.02"/></proof>
</goal>
<goal name="WP_parameter partition_.106" expl="106. precondition">
<proof prover="2"><result status="valid" time="0.01"/></proof>
</goal>
<goal name="WP_parameter partition_.107" expl="107. precondition">
<proof prover="2"><result status="valid" time="0.01"/></proof>
</goal>
<goal name="WP_parameter partition_.108" expl="108. precondition">
<proof prover="2"><result status="valid" time="0.02"/></proof>
</goal>
<goal name="WP_parameter partition_.109" expl="109. assertion">
<proof prover="2"><result status="valid" time="0.02"/></proof>
</goal>
<goal name="WP_parameter partition_.110" expl="110. precondition">
<proof prover="2"><result status="valid" time="0.01"/></proof>
</goal>
<goal name="WP_parameter partition_.111" expl="111. postcondition">
<proof prover="2"><result status="valid" time="0.02"/></proof>
</goal>
<goal name="WP_parameter partition_.112" expl="112. postcondition">
<proof prover="2"><result status="valid" time="0.05"/></proof>
</goal>
<goal name="WP_parameter partition_.113" expl="113. postcondition">
<transf name="inline_goal">
<goal name="WP_parameter partition_.113.1" expl="1. postcondition">
<transf name="inline_goal">
<goal name="WP_parameter partition_.113.1.1" expl="1. postcondition">
<transf name="inline_goal">
<goal name="WP_parameter partition_.113.1.1.1" expl="1. postcondition">
<proof prover="2"><result status="valid" time="0.54"/></proof>
</goal>
</transf>
</goal>
</transf>
</goal>
</transf>
</goal>
<goal name="WP_parameter partition_.114" expl="114. postcondition">
<transf name="inline_goal">
<goal name="WP_parameter partition_.114.1" expl="1. postcondition">
<transf name="inline_goal">
<goal name="WP_parameter partition_.114.1.1" expl="1. postcondition">
<transf name="inline_goal">
<goal name="WP_parameter partition_.114.1.1.1" expl="1. postcondition">
<proof prover="2"><result status="valid" time="0.35"/></proof>
</goal>
</transf>
</goal>
</transf>
</goal>
</transf>
</goal>
<goal name="WP_parameter partition_.115" expl="115. postcondition">
<transf name="inline_goal">
<goal name="WP_parameter partition_.115.1" expl="1. postcondition">
<transf name="inline_goal">
<goal name="WP_parameter partition_.115.1.1" expl="1. postcondition">
<transf name="inline_goal">
<goal name="WP_parameter partition_.115.1.1.1" expl="1. postcondition">
<proof prover="2" timelimit="15"><result status="valid" time="0.46"/></proof>
</goal>
</transf>
</goal>
</transf>
</goal>
</transf>
</goal>
<goal name="WP_parameter partition_.116" expl="116. precondition">
<proof prover="2"><result status="valid" time="0.02"/></proof>
</goal>
<goal name="WP_parameter partition_.117" expl="117. postcondition">
<proof prover="2"><result status="valid" time="0.02"/></proof>
</goal>
<goal name="WP_parameter partition_.118" expl="118. postcondition">
<proof prover="2"><result status="valid" time="0.05"/></proof>
</goal>
<goal name="WP_parameter partition_.119" expl="119. postcondition">
<transf name="inline_goal">
<goal name="WP_parameter partition_.119.1" expl="1. postcondition">
<transf name="inline_goal">
<goal name="WP_parameter partition_.119.1.1" expl="1. postcondition">
<transf name="inline_goal">
<goal name="WP_parameter partition_.119.1.1.1" expl="1. postcondition">
<proof prover="2"><result status="valid" time="0.38"/></proof>
</goal>
</transf>
</goal>
</transf>
</goal>
</transf>
</goal>
<goal name="WP_parameter partition_.120" expl="120. postcondition">