examples/verifythis_PrefixSumRec/why3session.xml

   1 <?xml version="1.0" encoding="UTF-8"?>
   2 <!DOCTYPE why3session PUBLIC "-//Why3//proof session v5//EN"
   3 "https://www.why3.org/why3session.dtd">
   4 <why3session shape_version="6">
   5 <prover id="0" name="CVC3" version="2.4.1" timelimit="10" steplimit="0" memlimit="1000"/>
   6 <prover id="1" name="CVC4" version="1.4" timelimit="10" steplimit="0" memlimit="1000"/>
   7 <prover id="2" name="Z3" version="4.3.1" timelimit="5" steplimit="0" memlimit="1000"/>
   8 <prover id="3" name="Z3" version="3.2" timelimit="10" steplimit="0" memlimit="1000"/>
   9 <prover id="4" name="CVC4" version="1.5" timelimit="1" steplimit="0" memlimit="1000"/>
  10 <prover id="5" name="Z3" version="4.12.2" timelimit="10" steplimit="0" memlimit="1000"/>
  11 <prover id="6" name="CVC4" version="1.6" timelimit="5" steplimit="0" memlimit="1000"/>
  12 <prover id="7" name="Alt-Ergo" version="2.6.0" timelimit="5" steplimit="0" memlimit="4000"/>
  13 <file format="whyml" proved="true">
  14 <path name=".."/><path name="verifythis_PrefixSumRec.mlw"/>
  15 <theory name="PrefixSumRec" proved="true">
  16  <goal name="Div_mod_2" proved="true">
  17  <proof prover="0"><result status="valid" time="0.020000"/></proof>
  18  <proof prover="1"><result status="valid" time="0.030000"/></proof>
  19  <proof prover="3"><result status="valid" time="0.020000"/></proof>
  20  <proof prover="5"><result status="valid" time="0.020000" steps="20357"/></proof>
  21  <proof prover="7"><result status="valid" time="0.010000" steps="67"/></proof>
  22  </goal>
  23  <goal name="is_power_of_2_1" proved="true">
  24  <proof prover="0"><result status="valid" time="0.030000"/></proof>
  25  <proof prover="1"><result status="valid" time="0.020000"/></proof>
  26  <proof prover="7"><result status="valid" time="0.010000" steps="187"/></proof>
  27  </goal>
  28  <goal name="phase1_frame&#39;vc" expl="VC for phase1_frame" proved="true">
  29  <transf name="split_goal_right" proved="true" >
  30   <goal name="phase1_frame&#39;vc.0" expl="variant decrease" proved="true">
  31   <proof prover="1" timelimit="5"><result status="valid" time="0.020000"/></proof>
  32   <proof prover="7"><result status="valid" time="0.020000" steps="23"/></proof>
  33   </goal>
  34   <goal name="phase1_frame&#39;vc.1" expl="precondition" proved="true">
  35   <proof prover="1" timelimit="5"><result status="valid" time="0.030000"/></proof>
  36   <proof prover="5" timelimit="5"><result status="valid" time="0.010000" steps="27745"/></proof>
  37   <proof prover="7"><result status="valid" time="0.020000" steps="34"/></proof>
  38   </goal>
  39   <goal name="phase1_frame&#39;vc.2" expl="precondition" proved="true">
  40   <proof prover="1" timelimit="5"><result status="valid" time="0.020000"/></proof>
  41   <proof prover="5" timelimit="5"><result status="valid" time="0.020000" steps="27081"/></proof>
  42   <proof prover="7"><result status="valid" time="0.010000" steps="12"/></proof>
  43   </goal>
  44   <goal name="phase1_frame&#39;vc.3" expl="variant decrease" proved="true">
  45   <proof prover="1" timelimit="5"><result status="valid" time="0.020000"/></proof>
  46   <proof prover="5" timelimit="5"><result status="valid" time="0.010000" steps="27415"/></proof>
  47   <proof prover="7"><result status="valid" time="0.010000" steps="30"/></proof>
  48   </goal>
  49   <goal name="phase1_frame&#39;vc.4" expl="precondition" proved="true">
  50   <proof prover="1" timelimit="5"><result status="valid" time="0.030000"/></proof>
  51   <proof prover="5" timelimit="5"><result status="valid" time="0.010000" steps="27982"/></proof>
  52   <proof prover="7"><result status="valid" time="0.010000" steps="41"/></proof>
  53   </goal>
  54   <goal name="phase1_frame&#39;vc.5" expl="precondition" proved="true">
  55   <proof prover="0" timelimit="5"><result status="valid" time="0.040000"/></proof>
  56   </goal>
  57   <goal name="phase1_frame&#39;vc.6" expl="postcondition" proved="true">
  58   <proof prover="7" timelimit="1" memlimit="1000"><result status="valid" time="0.093420" steps="193"/></proof>
  59   </goal>
  60  </transf>
  61  </goal>
  62  <goal name="phase1_frame2&#39;vc" expl="VC for phase1_frame2" proved="true">
  63  <transf name="split_goal_right" proved="true" >
  64   <goal name="phase1_frame2&#39;vc.0" expl="variant decrease" proved="true">
  65   <proof prover="1" timelimit="5"><result status="valid" time="0.040000"/></proof>
  66   <proof prover="5" timelimit="5"><result status="valid" time="0.010000" steps="27746"/></proof>
  67   <proof prover="7"><result status="valid" time="0.020000" steps="23"/></proof>
  68   </goal>
  69   <goal name="phase1_frame2&#39;vc.1" expl="precondition" proved="true">
  70   <proof prover="0" timelimit="30" memlimit="4000"><result status="valid" time="0.030000"/></proof>
  71   <proof prover="3" timelimit="30" memlimit="4000"><result status="valid" time="0.020000"/></proof>
  72   </goal>
  73   <goal name="phase1_frame2&#39;vc.2" expl="precondition" proved="true">
  74   <proof prover="1" timelimit="5"><result status="valid" time="0.020000"/></proof>
  75   <proof prover="5" timelimit="5"><result status="valid" time="0.010000" steps="27881"/></proof>
  76   <proof prover="7"><result status="valid" time="0.010000" steps="12"/></proof>
  77   </goal>
  78   <goal name="phase1_frame2&#39;vc.3" expl="variant decrease" proved="true">
  79   <proof prover="1" timelimit="5"><result status="valid" time="0.020000"/></proof>
  80   <proof prover="7"><result status="valid" time="0.010000" steps="30"/></proof>
  81   </goal>
  82   <goal name="phase1_frame2&#39;vc.4" expl="precondition" proved="true">
  83   <proof prover="1" timelimit="5"><result status="valid" time="0.030000"/></proof>
  84   <proof prover="5" timelimit="5"><result status="valid" time="0.010000" steps="28788"/></proof>
  85   <proof prover="7"><result status="valid" time="0.020000" steps="41"/></proof>
  86   </goal>
  87   <goal name="phase1_frame2&#39;vc.5" expl="precondition" proved="true">
  88   <proof prover="1" timelimit="5"><result status="valid" time="0.030000"/></proof>
  89   <proof prover="7"><result status="valid" time="0.020000" steps="15"/></proof>
  90   </goal>
  91   <goal name="phase1_frame2&#39;vc.6" expl="postcondition" proved="true">
  92   <proof prover="2"><result status="valid" time="0.040000"/></proof>
  93   </goal>
  94  </transf>
  95  </goal>
  96  <goal name="upsweep&#39;vc" expl="VC for upsweep" proved="true">
  97  <transf name="split_goal_right" proved="true" >
  98   <goal name="upsweep&#39;vc.0" expl="precondition" proved="true">
  99   <proof prover="0"><result status="valid" time="0.006563"/></proof>
 100   <proof prover="1"><result status="valid" time="0.050000"/></proof>
 101   <proof prover="7"><result status="valid" time="0.040000" steps="3"/></proof>
 102   </goal>
 103   <goal name="upsweep&#39;vc.1" expl="variant decrease" proved="true">
 104   <proof prover="0"><result status="valid" time="0.010000"/></proof>
 105   <proof prover="3"><result status="valid" time="0.090000"/></proof>
 106   <proof prover="5"><result status="valid" time="0.110000" steps="28913"/></proof>
 107   <proof prover="7"><result status="valid" time="0.020000" steps="23"/></proof>
 108   </goal>
 109   <goal name="upsweep&#39;vc.2" expl="precondition" proved="true">
 110   <proof prover="0"><result status="valid" time="0.010000"/></proof>
 111   <proof prover="1"><result status="valid" time="0.050000"/></proof>
 112   <proof prover="7"><result status="valid" time="0.100000" steps="48"/></proof>
 113   </goal>
 114   <goal name="upsweep&#39;vc.3" expl="precondition" proved="true">
 115   <proof prover="0"><result status="valid" time="0.000000"/></proof>
 116   <proof prover="1"><result status="valid" time="0.020000"/></proof>
 117   <proof prover="3"><result status="valid" time="0.000000"/></proof>
 118   <proof prover="5"><result status="valid" time="0.000000" steps="29706"/></proof>
 119   <proof prover="7"><result status="valid" time="0.010000" steps="24"/></proof>
 120   </goal>
 121   <goal name="upsweep&#39;vc.4" expl="precondition" proved="true">
 122   <proof prover="0"><result status="valid" time="0.010000"/></proof>
 123   <proof prover="1"><result status="valid" time="0.010000"/></proof>
 124   <proof prover="3"><result status="valid" time="16.090000"/></proof>
 125   <proof prover="7"><result status="valid" time="0.010000" steps="328"/></proof>
 126   </goal>
 127   <goal name="upsweep&#39;vc.5" expl="precondition" proved="true">
 128   <proof prover="4"><result status="valid" time="0.030000" steps="8234"/></proof>
 129   </goal>
 130   <goal name="upsweep&#39;vc.6" expl="variant decrease" proved="true">
 131   <proof prover="0"><result status="valid" time="0.020000"/></proof>
 132   <proof prover="3"><result status="valid" time="0.060000"/></proof>
 133   </goal>
 134   <goal name="upsweep&#39;vc.7" expl="precondition" proved="true">
 135   <proof prover="0"><result status="valid" time="0.020000"/></proof>
 136   </goal>
 137   <goal name="upsweep&#39;vc.8" expl="precondition" proved="true">
 138   <proof prover="0"><result status="valid" time="0.060000"/></proof>
 139   <proof prover="1"><result status="valid" time="0.040000"/></proof>
 140   <proof prover="7"><result status="valid" time="0.030000" steps="38"/></proof>
 141   </goal>
 142   <goal name="upsweep&#39;vc.9" expl="precondition" proved="true">
 143   <proof prover="0"><result status="valid" time="0.180000"/></proof>
 144   <proof prover="1"><result status="valid" time="0.020000"/></proof>
 145   <proof prover="3"><result status="valid" time="10.720000"/></proof>
 146   <proof prover="7"><result status="valid" time="0.149643" steps="666"/></proof>
 147   </goal>
 148   <goal name="upsweep&#39;vc.10" expl="assertion" proved="true">
 149   <proof prover="7"><result status="valid" time="0.020000" steps="150"/></proof>
 150   </goal>
 151   <goal name="upsweep&#39;vc.11" expl="assertion" proved="true">
 152   <proof prover="7"><result status="valid" time="0.020000" steps="153"/></proof>
 153   </goal>
 154   <goal name="upsweep&#39;vc.12" expl="assertion" proved="true">
 155   <proof prover="0"><result status="valid" time="0.010000"/></proof>
 156   <proof prover="3"><result status="valid" time="4.000000"/></proof>
 157   <proof prover="7"><result status="valid" time="0.000000" steps="98"/></proof>
 158   </goal>
 159   <goal name="upsweep&#39;vc.13" expl="assertion" proved="true">
 160   <proof prover="0"><result status="valid" time="3.190000"/></proof>
 161   </goal>
 162   <goal name="upsweep&#39;vc.14" expl="index in array bounds" proved="true">
 163   <proof prover="0"><result status="valid" time="0.020000"/></proof>
 164   <proof prover="1"><result status="valid" time="0.020000"/></proof>
 165   <proof prover="3"><result status="valid" time="0.020000"/></proof>
 166   <proof prover="5"><result status="valid" time="0.020000" steps="32659"/></proof>
 167   <proof prover="7"><result status="valid" time="0.020000" steps="32"/></proof>
 168   </goal>
 169   <goal name="upsweep&#39;vc.15" expl="index in array bounds" proved="true">
 170   <proof prover="0"><result status="valid" time="0.020000"/></proof>
 171   <proof prover="1"><result status="valid" time="0.020000"/></proof>
 172   <proof prover="3"><result status="valid" time="0.020000"/></proof>
 173   <proof prover="5"><result status="valid" time="0.030000" steps="32640"/></proof>
 174   <proof prover="7"><result status="valid" time="0.020000" steps="34"/></proof>
 175   </goal>
 176   <goal name="upsweep&#39;vc.16" expl="index in array bounds" proved="true">
 177   <proof prover="1"><result status="valid" time="0.070000"/></proof>
 178   <proof prover="7"><result status="valid" time="0.010000" steps="32"/></proof>
 179   </goal>
 180   <goal name="upsweep&#39;vc.17" expl="assertion" proved="true">
 181   <proof prover="0"><result status="valid" time="0.340000"/></proof>
 182   <proof prover="1"><result status="valid" time="0.122809"/></proof>
 183   <proof prover="3"><result status="valid" time="0.150000"/></proof>
 184   <proof prover="7"><result status="valid" time="0.160524" steps="434"/></proof>
 185   </goal>
 186   <goal name="upsweep&#39;vc.18" expl="assertion" proved="true">
 187   <proof prover="0"><result status="valid" time="0.140000"/></proof>
 188   <proof prover="1"><result status="valid" time="0.120000"/></proof>
 189   <proof prover="3"><result status="valid" time="0.010000"/></proof>
 190   <proof prover="7"><result status="valid" time="0.135046" steps="397"/></proof>
 191   </goal>
 192   <goal name="upsweep&#39;vc.19" expl="postcondition" proved="true">
 193   <proof prover="0"><result status="valid" time="0.240000"/></proof>
 194   <proof prover="3"><result status="valid" time="0.060000"/></proof>
 195   </goal>
 196   <goal name="upsweep&#39;vc.20" expl="postcondition" proved="true">
 197   <proof prover="1"><result status="valid" time="0.110000"/></proof>
 198   <proof prover="7"><result status="valid" time="0.497161" steps="3905"/></proof>
 199   </goal>
 200   <goal name="upsweep&#39;vc.21" expl="index in array bounds" proved="true">
 201   <proof prover="1" timelimit="15"><result status="valid" time="0.090000"/></proof>
 202   <proof prover="7"><result status="valid" time="0.040000" steps="6"/></proof>
 203   </goal>
 204   <goal name="upsweep&#39;vc.22" expl="index in array bounds" proved="true">
 205   <proof prover="0"><result status="valid" time="0.020000"/></proof>
 206   <proof prover="1"><result status="valid" time="0.020000"/></proof>
 207   <proof prover="7"><result status="valid" time="0.010000" steps="6"/></proof>
 208   </goal>
 209   <goal name="upsweep&#39;vc.23" expl="index in array bounds" proved="true">
 210   <proof prover="0"><result status="valid" time="0.020000"/></proof>
 211   <proof prover="1"><result status="valid" time="0.010000"/></proof>
 212   <proof prover="3"><result status="valid" time="0.020000"/></proof>
 213   <proof prover="5"><result status="valid" time="0.050000" steps="28417"/></proof>
 214   <proof prover="7"><result status="valid" time="0.020000" steps="6"/></proof>
 215   </goal>
 216   <goal name="upsweep&#39;vc.24" expl="assertion" proved="true">
 217   <proof prover="0"><result status="valid" time="0.040000"/></proof>
 218   <proof prover="1"><result status="valid" time="0.070000"/></proof>
 219   <proof prover="7"><result status="valid" time="0.000000" steps="5"/></proof>
 220   </goal>
 221   <goal name="upsweep&#39;vc.25" expl="assertion" proved="true">
 222   <proof prover="0"><result status="valid" time="0.000000"/></proof>
 223   <proof prover="1"><result status="valid" time="0.010000"/></proof>
 224   <proof prover="3"><result status="valid" time="0.020000"/></proof>
 225   <proof prover="5"><result status="valid" time="0.020000" steps="3472"/></proof>
 226   <proof prover="7"><result status="valid" time="0.000000" steps="5"/></proof>
 227   </goal>
 228   <goal name="upsweep&#39;vc.26" expl="postcondition" proved="true">
 229   <proof prover="7" timelimit="1" memlimit="1000"><result status="valid" time="0.010000" steps="76"/></proof>
 230   </goal>
 231   <goal name="upsweep&#39;vc.27" expl="postcondition" proved="true">
 232   <proof prover="0"><result status="valid" time="0.010000"/></proof>
 233   <proof prover="1"><result status="valid" time="0.020000"/></proof>
 234   <proof prover="7"><result status="valid" time="0.246749" steps="1612"/></proof>
 235   </goal>
 236  </transf>
 237  </goal>
 238  <goal name="downsweep&#39;vc" expl="VC for downsweep" proved="true">
 239  <transf name="split_goal_right" proved="true" >
 240   <goal name="downsweep&#39;vc.0" expl="index in array bounds" proved="true">
 241   <proof prover="0"><result status="valid" time="0.030000"/></proof>
 242   <proof prover="1"><result status="valid" time="0.010000"/></proof>
 243   <proof prover="3"><result status="valid" time="0.020000"/></proof>
 244   <proof prover="5"><result status="valid" time="0.040000" steps="28266"/></proof>
 245   <proof prover="7"><result status="valid" time="0.010000" steps="7"/></proof>
 246   </goal>
 247   <goal name="downsweep&#39;vc.1" expl="assertion" proved="true">
 248   <proof prover="0"><result status="valid" time="0.020000"/></proof>
 249   <proof prover="1"><result status="valid" time="0.020000"/></proof>
 250   <proof prover="7"><result status="valid" time="0.030000" steps="4"/></proof>
 251   </goal>
 252   <goal name="downsweep&#39;vc.2" expl="assertion" proved="true">
 253   <proof prover="1"><result status="valid" time="0.060000"/></proof>
 254   <proof prover="3"><result status="valid" time="0.050000"/></proof>
 255   </goal>
 256   <goal name="downsweep&#39;vc.3" expl="index in array bounds" proved="true">
 257   <proof prover="0"><result status="valid" time="0.020000"/></proof>
 258   <proof prover="1"><result status="valid" time="0.020000"/></proof>
 259   <proof prover="3"><result status="valid" time="0.030000"/></proof>
 260   <proof prover="5"><result status="valid" time="0.030000" steps="28640"/></proof>
 261   <proof prover="7"><result status="valid" time="0.010000" steps="10"/></proof>
 262   </goal>
 263   <goal name="downsweep&#39;vc.4" expl="index in array bounds" proved="true">
 264   <proof prover="0"><result status="valid" time="0.020000"/></proof>
 265   <proof prover="1"><result status="valid" time="0.070000"/></proof>
 266   <proof prover="7"><result status="valid" time="0.000000" steps="9"/></proof>
 267   </goal>
 268   <goal name="downsweep&#39;vc.5" expl="index in array bounds" proved="true">
 269   <proof prover="0"><result status="valid" time="0.020000"/></proof>
 270   <proof prover="1"><result status="valid" time="0.020000"/></proof>
 271   <proof prover="7"><result status="valid" time="0.040000" steps="9"/></proof>
 272   </goal>
 273   <goal name="downsweep&#39;vc.6" expl="index in array bounds" proved="true">
 274   <proof prover="1"><result status="valid" time="0.020000"/></proof>
 275   <proof prover="3"><result status="valid" time="0.020000"/></proof>
 276   <proof prover="7"><result status="valid" time="0.080000" steps="14"/></proof>
 277   </goal>
 278   <goal name="downsweep&#39;vc.7" expl="assertion" proved="true">
 279   <proof prover="1"><result status="valid" time="0.020000"/></proof>
 280   <proof prover="3"><result status="valid" time="4.790000"/></proof>
 281   <proof prover="7"><result status="valid" time="0.036337" steps="390"/></proof>
 282   </goal>
 283   <goal name="downsweep&#39;vc.8" expl="assertion" proved="true">
 284   <proof prover="0"><result status="valid" time="0.020000"/></proof>
 285   <proof prover="1"><result status="valid" time="0.010000"/></proof>
 286   <proof prover="3"><result status="valid" time="0.000000"/></proof>
 287   <proof prover="5"><result status="valid" time="0.000000" steps="30283"/></proof>
 288   <proof prover="7"><result status="valid" time="0.010000" steps="56"/></proof>
 289   </goal>
 290   <goal name="downsweep&#39;vc.9" expl="assertion" proved="true">
 291   <proof prover="0"><result status="valid" time="0.030000"/></proof>
 292   <proof prover="1"><result status="valid" time="0.030000"/></proof>
 293   <proof prover="3"><result status="valid" time="0.040000"/></proof>
 294   <proof prover="5"><result status="valid" time="0.040000" steps="30489"/></proof>
 295   <proof prover="7"><result status="valid" time="0.030000" steps="57"/></proof>
 296   </goal>
 297   <goal name="downsweep&#39;vc.10" expl="assertion" proved="true">
 298   <proof prover="0"><result status="valid" time="1.451772"/></proof>
 299   <proof prover="1"><result status="valid" time="0.010000"/></proof>
 300   <proof prover="3" timelimit="30"><result status="valid" time="11.876884"/></proof>
 301   <proof prover="7"><result status="valid" time="0.010000" steps="340"/></proof>
 302   </goal>
 303   <goal name="downsweep&#39;vc.11" expl="precondition" proved="true">
 304   <proof prover="0"><result status="valid" time="0.030000"/></proof>
 305   <proof prover="1" timelimit="15"><result status="valid" time="0.030000"/></proof>
 306   <proof prover="7"><result status="valid" time="0.020000" steps="9"/></proof>
 307   </goal>
 308   <goal name="downsweep&#39;vc.12" expl="variant decrease" proved="true">
 309   <proof prover="7"><result status="valid" time="0.060000" steps="81"/></proof>
 310   </goal>
 311   <goal name="downsweep&#39;vc.13" expl="precondition" proved="true">
 312   <proof prover="0"><result status="valid" time="0.090000"/></proof>
 313   <proof prover="1"><result status="valid" time="0.060000"/></proof>
 314   <proof prover="7"><result status="valid" time="0.100000" steps="169"/></proof>
 315   </goal>
 316   <goal name="downsweep&#39;vc.14" expl="precondition" proved="true">
 317   <proof prover="0"><result status="valid" time="0.020000"/></proof>
 318   <proof prover="1"><result status="valid" time="0.030000"/></proof>
 319   <proof prover="3"><result status="valid" time="0.020000"/></proof>
 320   <proof prover="7"><result status="valid" time="0.110000" steps="88"/></proof>
 321   </goal>
 322   <goal name="downsweep&#39;vc.15" expl="precondition" proved="true">
 323   <proof prover="3"><result status="valid" time="5.580000"/></proof>
 324   <proof prover="6"><result status="valid" time="0.140000" steps="21462"/></proof>
 325   <proof prover="7"><result status="valid" time="0.213280" steps="2729"/></proof>
 326   </goal>
 327   <goal name="downsweep&#39;vc.16" expl="precondition" proved="true">
 328   <proof prover="1"><result status="valid" time="0.130000"/></proof>
 329   <proof prover="3"><result status="valid" time="0.040000"/></proof>
 330   </goal>
 331   <goal name="downsweep&#39;vc.17" expl="precondition" proved="true">
 332   <proof prover="2" timelimit="30"><result status="valid" time="0.970000"/></proof>
 333   </goal>
 334   <goal name="downsweep&#39;vc.18" expl="assertion" proved="true">
 335   <proof prover="0" timelimit="30"><result status="valid" time="0.080000"/></proof>
 336   <proof prover="3" timelimit="30"><result status="valid" time="0.120000"/></proof>
 337   </goal>
 338   <goal name="downsweep&#39;vc.19" expl="precondition" proved="true">
 339   <proof prover="0"><result status="valid" time="0.120000"/></proof>
 340   <proof prover="7"><result status="valid" time="0.020000" steps="44"/></proof>
 341   </goal>
 342   <goal name="downsweep&#39;vc.20" expl="variant decrease" proved="true">
 343   <proof prover="0"><result status="valid" time="0.030000"/></proof>
 344   <proof prover="1"><result status="valid" time="0.040000"/></proof>
 345   <proof prover="3"><result status="valid" time="0.080000"/></proof>
 346   <proof prover="5"><result status="valid" time="0.110000" steps="34291"/></proof>
 347   <proof prover="7"><result status="valid" time="0.110000" steps="104"/></proof>
 348   </goal>
 349   <goal name="downsweep&#39;vc.21" expl="precondition" proved="true">
 350   <proof prover="0"><result status="valid" time="0.060000"/></proof>
 351   <proof prover="1"><result status="valid" time="0.020000"/></proof>
 352   <proof prover="3"><result status="valid" time="0.020000"/></proof>
 353   <proof prover="5"><result status="valid" time="0.030000" steps="37235"/></proof>
 354   <proof prover="7"><result status="valid" time="0.020000" steps="194"/></proof>
 355   </goal>
 356   <goal name="downsweep&#39;vc.22" expl="precondition" proved="true">
 357   <proof prover="4"><result status="valid" time="0.020000" steps="13010"/></proof>
 358   </goal>
 359   <goal name="downsweep&#39;vc.23" expl="precondition" proved="true">
 360   <proof prover="1"><result status="valid" time="0.270000"/></proof>
 361   <proof prover="3"><result status="valid" time="7.040000"/></proof>
 362   <proof prover="7"><result status="valid" time="0.235455" steps="2962"/></proof>
 363   </goal>
 364   <goal name="downsweep&#39;vc.24" expl="precondition" proved="true">
 365   <proof prover="0"><result status="valid" time="0.040000"/></proof>
 366   <proof prover="1"><result status="valid" time="0.020000"/></proof>
 367   <proof prover="3"><result status="valid" time="0.020000"/></proof>
 368   <proof prover="7"><result status="valid" time="0.030000" steps="107"/></proof>
 369   </goal>
 370   <goal name="downsweep&#39;vc.25" expl="precondition" proved="true">
 371   <proof prover="0"><result status="valid" time="0.020000"/></proof>
 372   <proof prover="3"><result status="valid" time="0.040000"/></proof>
 373   <proof prover="7"><result status="valid" time="0.020000" steps="109"/></proof>
 374   </goal>
 375   <goal name="downsweep&#39;vc.26" expl="assertion" proved="true">
 376   <proof prover="4"><result status="valid" time="0.020000" steps="20084"/></proof>
 377   </goal>
 378   <goal name="downsweep&#39;vc.27" expl="assertion" proved="true">
 379   <proof prover="0" timelimit="30"><result status="valid" time="0.020000"/></proof>
 380   <proof prover="1" timelimit="30"><result status="valid" time="0.020000"/></proof>
 381   </goal>
 382   <goal name="downsweep&#39;vc.28" expl="postcondition" proved="true">
 383   <proof prover="0"><result status="valid" time="0.680000"/></proof>
 384   <proof prover="1"><result status="valid" time="0.040000"/></proof>
 385   <proof prover="7"><result status="valid" time="0.040000" steps="333"/></proof>
 386   </goal>
 387   <goal name="downsweep&#39;vc.29" expl="postcondition" proved="true">
 388   <proof prover="1"><result status="valid" time="2.960771"/></proof>
 389   </goal>
 390   <goal name="downsweep&#39;vc.30" expl="postcondition" proved="true">
 391   <proof prover="7"><result status="valid" time="0.020000" steps="544"/></proof>
 392   </goal>
 393   <goal name="downsweep&#39;vc.31" expl="postcondition" proved="true">
 394   <proof prover="0"><result status="valid" time="0.360000"/></proof>
 395   <proof prover="1"><result status="valid" time="0.180000"/></proof>
 396   <proof prover="7"><result status="valid" time="0.010000" steps="106"/></proof>
 397   </goal>
 398   <goal name="downsweep&#39;vc.32" expl="postcondition" proved="true">
 399   <proof prover="0"><result status="valid" time="0.060000"/></proof>
 400   <proof prover="1"><result status="valid" time="0.010000"/></proof>
 401   <proof prover="3"><result status="valid" time="0.120000"/></proof>
 402   <proof prover="7"><result status="valid" time="0.000000" steps="119"/></proof>
 403   </goal>
 404   <goal name="downsweep&#39;vc.33" expl="postcondition" proved="true">
 405   <proof prover="1" timelimit="5"><result status="valid" time="0.090000"/></proof>
 406   <proof prover="7" memlimit="1000"><result status="valid" time="0.120000" steps="121"/></proof>
 407   </goal>
 408  </transf>
 409  </goal>
 410  <goal name="compute_sums&#39;vc" expl="VC for compute_sums" proved="true">
 411  <transf name="split_goal_right" proved="true" >
 412   <goal name="compute_sums&#39;vc.0" expl="precondition" proved="true">
 413   <proof prover="0"><result status="valid" time="0.010000"/></proof>
 414   <proof prover="1"><result status="valid" time="0.020000"/></proof>
 415   </goal>
 416   <goal name="compute_sums&#39;vc.1" expl="precondition" proved="true">
 417   <proof prover="0"><result status="valid" time="0.020000"/></proof>
 418   <proof prover="1"><result status="valid" time="0.010000"/></proof>
 419   <proof prover="3"><result status="valid" time="1.350000"/></proof>
 420   <proof prover="5"><result status="valid" time="0.030000" steps="28996"/></proof>
 421   <proof prover="7"><result status="valid" time="0.020000" steps="50"/></proof>
 422   </goal>
 423   <goal name="compute_sums&#39;vc.2" expl="precondition" proved="true">
 424   <proof prover="0"><result status="valid" time="0.030000"/></proof>
 425   <proof prover="1"><result status="valid" time="0.020000"/></proof>
 426   <proof prover="3"><result status="valid" time="0.020000"/></proof>
 427   <proof prover="5"><result status="valid" time="0.030000" steps="28913"/></proof>
 428   <proof prover="7"><result status="valid" time="0.020000" steps="27"/></proof>
 429   </goal>
 430   <goal name="compute_sums&#39;vc.3" expl="precondition" proved="true">
 431   <proof prover="1"><result status="valid" time="0.040000"/></proof>
 432   </goal>
 433   <goal name="compute_sums&#39;vc.4" expl="assertion" proved="true">
 434   <proof prover="1" timelimit="15"><result status="valid" time="0.040000"/></proof>
 435   <proof prover="7"><result status="valid" time="0.020000" steps="106"/></proof>
 436   </goal>
 437   <goal name="compute_sums&#39;vc.5" expl="index in array bounds" proved="true">
 438   <proof prover="0"><result status="valid" time="0.020000"/></proof>
 439   <proof prover="1"><result status="valid" time="0.010000"/></proof>
 440   <proof prover="3"><result status="valid" time="0.030000"/></proof>
 441   <proof prover="5"><result status="valid" time="0.030000" steps="30274"/></proof>
 442   <proof prover="7"><result status="valid" time="0.020000" steps="19"/></proof>
 443   </goal>
 444   <goal name="compute_sums&#39;vc.6" expl="precondition" proved="true">
 445   <proof prover="0"><result status="valid" time="0.030000"/></proof>
 446   <proof prover="1"><result status="valid" time="0.040000"/></proof>
 447   <proof prover="3"><result status="valid" time="0.020000"/></proof>
 448   </goal>
 449   <goal name="compute_sums&#39;vc.7" expl="precondition" proved="true">
 450   <proof prover="4"><result status="valid" time="0.020000" steps="11150"/></proof>
 451   </goal>
 452   <goal name="compute_sums&#39;vc.8" expl="precondition" proved="true">
 453   <proof prover="0"><result status="valid" time="0.170000"/></proof>
 454   <proof prover="1"><result status="valid" time="0.080000"/></proof>
 455   </goal>
 456   <goal name="compute_sums&#39;vc.9" expl="precondition" proved="true">
 457   <proof prover="0"><result status="valid" time="0.030000"/></proof>
 458   <proof prover="1"><result status="valid" time="0.040000"/></proof>
 459   <proof prover="7"><result status="valid" time="0.090000" steps="194"/></proof>
 460   </goal>
 461   <goal name="compute_sums&#39;vc.10" expl="precondition" proved="true">
 462   <proof prover="0"><result status="valid" time="0.010000"/></proof>
 463   <proof prover="1"><result status="valid" time="0.010000"/></proof>
 464   <proof prover="3"><result status="valid" time="0.805942"/></proof>
 465   <proof prover="7"><result status="valid" time="0.020000" steps="484"/></proof>
 466   </goal>
 467   <goal name="compute_sums&#39;vc.11" expl="assertion" proved="true">
 468   <proof prover="0"><result status="valid" time="0.030000"/></proof>
 469   <proof prover="1"><result status="valid" time="0.020000"/></proof>
 470   <proof prover="3"><result status="valid" time="0.070000"/></proof>
 471   <proof prover="5"><result status="valid" time="0.050000" steps="35122"/></proof>
 472   <proof prover="7"><result status="valid" time="0.020000" steps="155"/></proof>
 473   </goal>
 474   <goal name="compute_sums&#39;vc.12" expl="postcondition" proved="true">
 475   <proof prover="1"><result status="valid" time="8.318190"/></proof>
 476   </goal>
 477  </transf>
 478  </goal>
 479  <goal name="test_harness&#39;vc" expl="VC for test_harness" proved="true">
 480  <transf name="split_goal_right" proved="true" >
 481   <goal name="test_harness&#39;vc.0" expl="array creation size" proved="true">
 482   <proof prover="0"><result status="valid" time="0.010000"/></proof>
 483   <proof prover="1"><result status="valid" time="0.010000"/></proof>
 484   <proof prover="3"><result status="valid" time="0.000000"/></proof>
 485   <proof prover="5"><result status="valid" time="0.000000" steps="2896"/></proof>
 486   <proof prover="7"><result status="valid" time="0.020000" steps="0"/></proof>
 487   </goal>
 488   <goal name="test_harness&#39;vc.1" expl="assertion" proved="true">
 489   <proof prover="0"><result status="valid" time="0.030000"/></proof>
 490   <proof prover="1"><result status="valid" time="0.030000"/></proof>
 491   <proof prover="3"><result status="valid" time="0.050000"/></proof>
 492   <proof prover="7"><result status="valid" time="0.040000" steps="1069"/></proof>
 493   </goal>
 494   <goal name="test_harness&#39;vc.2" expl="index in array bounds" proved="true">
 495   <proof prover="0"><result status="valid" time="0.020000"/></proof>
 496   <proof prover="1"><result status="valid" time="0.010000"/></proof>
 497   <proof prover="3"><result status="valid" time="0.020000"/></proof>
 498   <proof prover="5"><result status="valid" time="0.040000" steps="27859"/></proof>
 499   <proof prover="7"><result status="valid" time="0.030000" steps="4"/></proof>
 500   </goal>
 501   <goal name="test_harness&#39;vc.3" expl="index in array bounds" proved="true">
 502   <proof prover="0"><result status="valid" time="0.010000"/></proof>
 503   <proof prover="1"><result status="valid" time="0.020000"/></proof>
 504   <proof prover="3"><result status="valid" time="0.000000"/></proof>
 505   <proof prover="5"><result status="valid" time="0.000000" steps="27847"/></proof>
 506   <proof prover="7"><result status="valid" time="0.010000" steps="7"/></proof>
 507   </goal>
 508   <goal name="test_harness&#39;vc.4" expl="index in array bounds" proved="true">
 509   <proof prover="0"><result status="valid" time="0.010000"/></proof>
 510   <proof prover="1"><result status="valid" time="0.010000"/></proof>
 511   <proof prover="3"><result status="valid" time="0.000000"/></proof>
 512   <proof prover="5"><result status="valid" time="0.000000" steps="28365"/></proof>
 513   <proof prover="7"><result status="valid" time="0.010000" steps="8"/></proof>
 514   </goal>
 515   <goal name="test_harness&#39;vc.5" expl="index in array bounds" proved="true">
 516   <proof prover="0"><result status="valid" time="0.010000"/></proof>
 517   <proof prover="1"><result status="valid" time="0.020000"/></proof>
 518   <proof prover="3"><result status="valid" time="0.000000"/></proof>
 519   <proof prover="5"><result status="valid" time="0.000000" steps="28979"/></proof>
 520   <proof prover="7"><result status="valid" time="0.010000" steps="12"/></proof>
 521   </goal>
 522   <goal name="test_harness&#39;vc.6" expl="index in array bounds" proved="true">
 523   <proof prover="0"><result status="valid" time="0.030000"/></proof>
 524   <proof prover="1"><result status="valid" time="0.030000"/></proof>
 525   <proof prover="7"><result status="valid" time="0.040000" steps="13"/></proof>
 526   </goal>
 527   <goal name="test_harness&#39;vc.7" expl="index in array bounds" proved="true">
 528   <proof prover="0"><result status="valid" time="0.030000"/></proof>
 529   <proof prover="1"><result status="valid" time="0.020000"/></proof>
 530   <proof prover="3"><result status="valid" time="0.020000"/></proof>
 531   <proof prover="5"><result status="valid" time="0.030000" steps="30495"/></proof>
 532   <proof prover="7"><result status="valid" time="0.020000" steps="18"/></proof>
 533   </goal>
 534   <goal name="test_harness&#39;vc.8" expl="index in array bounds" proved="true">
 535   <proof prover="0"><result status="valid" time="0.020000"/></proof>
 536   <proof prover="1"><result status="valid" time="0.010000"/></proof>
 537   <proof prover="3"><result status="valid" time="0.000000"/></proof>
 538   <proof prover="5"><result status="valid" time="0.000000" steps="31397"/></proof>
 539   <proof prover="7"><result status="valid" time="0.010000" steps="14"/></proof>
 540   </goal>
 541   <goal name="test_harness&#39;vc.9" expl="index in array bounds" proved="true">
 542   <proof prover="0"><result status="valid" time="0.010000"/></proof>
 543   <proof prover="1"><result status="valid" time="0.010000"/></proof>
 544   <proof prover="3"><result status="valid" time="0.000000"/></proof>
 545   <proof prover="5"><result status="valid" time="0.000000" steps="32394"/></proof>
 546   <proof prover="7"><result status="valid" time="0.010000" steps="18"/></proof>
 547   </goal>
 548   <goal name="test_harness&#39;vc.10" expl="precondition" proved="true">
 549   <proof prover="0"><result status="valid" time="0.020000"/></proof>
 550   <proof prover="1"><result status="valid" time="0.050000"/></proof>
 551   <proof prover="7"><result status="valid" time="0.040000" steps="23"/></proof>
 552   </goal>
 553   <goal name="test_harness&#39;vc.11" expl="precondition" proved="true">
 554   <proof prover="0"><result status="valid" time="0.020000"/></proof>
 555   <proof prover="1"><result status="valid" time="0.030000"/></proof>
 556   <proof prover="7"><result status="valid" time="0.040000" steps="832"/></proof>
 557   </goal>
 558   <goal name="test_harness&#39;vc.12" expl="assertion" proved="true">
 559   <proof prover="0"><result status="valid" time="0.020000"/></proof>
 560   <proof prover="1"><result status="valid" time="0.030000"/></proof>
 561   <proof prover="7"><result status="valid" time="0.144997" steps="1743"/></proof>
 562   </goal>
 563   <goal name="test_harness&#39;vc.13" expl="assertion" proved="true">
 564   <proof prover="0"><result status="valid" time="0.010000"/></proof>
 565   <proof prover="1"><result status="valid" time="0.000000"/></proof>
 566   <proof prover="3"><result status="valid" time="0.180000"/></proof>
 567   <proof prover="5"><result status="valid" time="1.058214" steps="2431247"/></proof>
 568   <proof prover="7"><result status="valid" time="0.179757" steps="2131"/></proof>
 569   </goal>
 570   <goal name="test_harness&#39;vc.14" expl="assertion" proved="true">
 571   <proof prover="0"><result status="valid" time="0.020000"/></proof>
 572   <proof prover="1"><result status="valid" time="0.040000"/></proof>
 573   <proof prover="3"><result status="valid" time="0.320000"/></proof>
 574   <proof prover="5"><result status="valid" time="4.110344" steps="14522871"/></proof>
 575   <proof prover="7"><result status="valid" time="0.196598" steps="2262"/></proof>
 576   </goal>
 577   <goal name="test_harness&#39;vc.15" expl="assertion" proved="true">
 578   <proof prover="0" timelimit="30"><result status="valid" time="0.030000"/></proof>
 579   <proof prover="1" timelimit="30"><result status="valid" time="0.060000"/></proof>
 580   <proof prover="3" timelimit="30"><result status="valid" time="0.330000"/></proof>
 581   <proof prover="5" timelimit="30"><result status="valid" time="4.240542" steps="14533601"/></proof>
 582   <proof prover="7" timelimit="30" memlimit="1000"><result status="valid" time="0.252379" steps="2448"/></proof>
 583   </goal>
 584   <goal name="test_harness&#39;vc.16" expl="assertion" proved="true">
 585   <proof prover="0"><result status="valid" time="0.030000"/></proof>
 586   <proof prover="1"><result status="valid" time="0.040000"/></proof>
 587   <proof prover="3"><result status="valid" time="0.370000"/></proof>
 588   <proof prover="5"><result status="valid" time="4.119380" steps="14545058"/></proof>
 589   <proof prover="7"><result status="valid" time="0.229121" steps="2627"/></proof>
 590   </goal>
 591   <goal name="test_harness&#39;vc.17" expl="assertion" proved="true">
 592   <proof prover="0"><result status="valid" time="0.010000"/></proof>
 593   <proof prover="1"><result status="valid" time="0.120000"/></proof>
 594   <proof prover="3"><result status="valid" time="0.340000"/></proof>
 595   <proof prover="5"><result status="valid" time="3.685437" steps="14557114"/></proof>
 596   <proof prover="7"><result status="valid" time="0.267759" steps="2805"/></proof>
 597   </goal>
 598   <goal name="test_harness&#39;vc.18" expl="assertion" proved="true">
 599   <proof prover="0"><result status="valid" time="0.020000"/></proof>
 600   <proof prover="1"><result status="valid" time="0.130000"/></proof>
 601   <proof prover="3"><result status="valid" time="0.340000"/></proof>
 602   <proof prover="5"><result status="valid" time="4.159424" steps="14570599"/></proof>
 603   <proof prover="7"><result status="valid" time="0.164202" steps="3022"/></proof>
 604   </goal>
 605   <goal name="test_harness&#39;vc.19" expl="assertion" proved="true">
 606   <proof prover="0"><result status="valid" time="0.020000"/></proof>
 607   <proof prover="1"><result status="valid" time="0.150000"/></proof>
 608   <proof prover="3"><result status="valid" time="0.180000"/></proof>
 609   <proof prover="5"><result status="valid" time="0.779889" steps="2356733"/></proof>
 610   <proof prover="7"><result status="valid" time="0.203356" steps="3195"/></proof>
 611   </goal>
 612  </transf>
 613  </goal>
 614  <goal name="bench&#39;vc" expl="VC for bench" proved="true">
 615  <proof prover="7"><result status="valid" time="0.306409" steps="4004"/></proof>
 616  </goal>
 617 </theory>
 618 </file>
 619 </why3session>